%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : GEO552+1 : TPTP v8.1.0. Released v7.5.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n023.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 0s
% DateTime : Sat Jul 16 02:54:40 EDT 2022
% Result : Theorem 3.52s 3.89s
% Output : Refutation 3.52s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.11 % Problem : GEO552+1 : TPTP v8.1.0. Released v7.5.0.
% 0.11/0.12 % Command : bliksem %s
% 0.12/0.33 % Computer : n023.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % DateTime : Sat Jun 18 11:55:04 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.71/1.11 *** allocated 10000 integers for termspace/termends
% 0.71/1.11 *** allocated 10000 integers for clauses
% 0.71/1.11 *** allocated 10000 integers for justifications
% 0.71/1.11 Bliksem 1.12
% 0.71/1.11
% 0.71/1.11
% 0.71/1.11 Automatic Strategy Selection
% 0.71/1.11
% 0.71/1.11 *** allocated 15000 integers for termspace/termends
% 0.71/1.11
% 0.71/1.11 Clauses:
% 0.71/1.11
% 0.71/1.11 { ! coll( X, Y, Z ), coll( X, Z, Y ) }.
% 0.71/1.11 { ! coll( X, Y, Z ), coll( Y, X, Z ) }.
% 0.71/1.11 { ! coll( X, T, Y ), ! coll( X, T, Z ), coll( Y, Z, X ) }.
% 0.71/1.11 { ! para( X, Y, Z, T ), para( X, Y, T, Z ) }.
% 0.71/1.11 { ! para( X, Y, Z, T ), para( Z, T, X, Y ) }.
% 0.71/1.11 { ! para( X, Y, U, W ), ! para( U, W, Z, T ), para( X, Y, Z, T ) }.
% 0.71/1.11 { ! perp( X, Y, Z, T ), perp( X, Y, T, Z ) }.
% 0.71/1.11 { ! perp( X, Y, Z, T ), perp( Z, T, X, Y ) }.
% 0.71/1.11 { ! perp( X, Y, U, W ), ! perp( U, W, Z, T ), para( X, Y, Z, T ) }.
% 0.71/1.11 { ! para( X, Y, U, W ), ! perp( U, W, Z, T ), perp( X, Y, Z, T ) }.
% 0.71/1.11 { ! midp( Z, Y, X ), midp( Z, X, Y ) }.
% 0.71/1.11 { ! cong( T, X, T, Y ), ! cong( T, X, T, Z ), circle( T, X, Y, Z ) }.
% 0.71/1.11 { ! cong( U, X, U, Y ), ! cong( U, X, U, Z ), ! cong( U, X, U, T ), cyclic
% 0.71/1.11 ( X, Y, Z, T ) }.
% 0.71/1.11 { ! cyclic( X, Y, Z, T ), cyclic( X, Y, T, Z ) }.
% 0.71/1.11 { ! cyclic( X, Y, Z, T ), cyclic( X, Z, Y, T ) }.
% 0.71/1.11 { ! cyclic( X, Y, Z, T ), cyclic( Y, X, Z, T ) }.
% 0.71/1.11 { ! cyclic( U, X, Y, Z ), ! cyclic( U, X, Y, T ), cyclic( X, Y, Z, T ) }.
% 0.71/1.11 { ! eqangle( X, Y, Z, T, U, W, V0, V1 ), eqangle( Y, X, Z, T, U, W, V0, V1
% 0.71/1.11 ) }.
% 0.71/1.11 { ! eqangle( X, Y, Z, T, U, W, V0, V1 ), eqangle( Z, T, X, Y, V0, V1, U, W
% 0.71/1.11 ) }.
% 0.71/1.11 { ! eqangle( X, Y, Z, T, U, W, V0, V1 ), eqangle( U, W, V0, V1, X, Y, Z, T
% 0.71/1.11 ) }.
% 0.71/1.11 { ! eqangle( X, Y, Z, T, U, W, V0, V1 ), eqangle( X, Y, U, W, Z, T, V0, V1
% 0.71/1.11 ) }.
% 0.71/1.11 { ! eqangle( X, Y, Z, T, V2, V3, V4, V5 ), ! eqangle( V2, V3, V4, V5, U, W
% 0.71/1.11 , V0, V1 ), eqangle( X, Y, Z, T, U, W, V0, V1 ) }.
% 0.71/1.11 { ! cong( X, Y, Z, T ), cong( X, Y, T, Z ) }.
% 0.71/1.11 { ! cong( X, Y, Z, T ), cong( Z, T, X, Y ) }.
% 0.71/1.11 { ! cong( X, Y, U, W ), ! cong( U, W, Z, T ), cong( X, Y, Z, T ) }.
% 0.71/1.11 { ! eqratio( X, Y, Z, T, U, W, V0, V1 ), eqratio( Y, X, Z, T, U, W, V0, V1
% 0.71/1.11 ) }.
% 0.71/1.11 { ! eqratio( X, Y, Z, T, U, W, V0, V1 ), eqratio( Z, T, X, Y, V0, V1, U, W
% 0.71/1.11 ) }.
% 0.71/1.11 { ! eqratio( X, Y, Z, T, U, W, V0, V1 ), eqratio( U, W, V0, V1, X, Y, Z, T
% 0.71/1.11 ) }.
% 0.71/1.11 { ! eqratio( X, Y, Z, T, U, W, V0, V1 ), eqratio( X, Y, U, W, Z, T, V0, V1
% 0.71/1.11 ) }.
% 0.71/1.11 { ! eqratio( X, Y, Z, T, V2, V3, V4, V5 ), ! eqratio( V2, V3, V4, V5, U, W
% 0.71/1.11 , V0, V1 ), eqratio( X, Y, Z, T, U, W, V0, V1 ) }.
% 0.71/1.11 { ! simtri( X, Z, Y, T, W, U ), simtri( X, Y, Z, T, U, W ) }.
% 0.71/1.11 { ! simtri( Y, X, Z, U, T, W ), simtri( X, Y, Z, T, U, W ) }.
% 0.71/1.11 { ! simtri( T, U, W, X, Y, Z ), simtri( X, Y, Z, T, U, W ) }.
% 0.71/1.11 { ! simtri( X, Y, Z, V0, V1, V2 ), ! simtri( V0, V1, V2, T, U, W ), simtri
% 0.71/1.11 ( X, Y, Z, T, U, W ) }.
% 0.71/1.11 { ! contri( X, Z, Y, T, W, U ), contri( X, Y, Z, T, U, W ) }.
% 0.71/1.11 { ! contri( Y, X, Z, U, T, W ), contri( X, Y, Z, T, U, W ) }.
% 0.71/1.11 { ! contri( T, U, W, X, Y, Z ), contri( X, Y, Z, T, U, W ) }.
% 0.71/1.11 { ! contri( X, Y, Z, V0, V1, V2 ), ! contri( V0, V1, V2, T, U, W ), contri
% 0.71/1.11 ( X, Y, Z, T, U, W ) }.
% 0.71/1.11 { ! eqangle( X, Y, U, W, Z, T, U, W ), para( X, Y, Z, T ) }.
% 0.71/1.11 { ! para( X, Y, Z, T ), eqangle( X, Y, U, W, Z, T, U, W ) }.
% 0.71/1.11 { ! cyclic( X, Y, Z, T ), eqangle( Z, X, Z, Y, T, X, T, Y ) }.
% 0.71/1.11 { ! eqangle( Z, X, Z, Y, T, X, T, Y ), coll( Z, T, X ), cyclic( X, Y, Z, T
% 0.71/1.11 ) }.
% 0.71/1.11 { ! eqangle( Z, X, Z, Y, T, X, T, Y ), ! coll( Z, T, Y ), cyclic( X, Y, Z,
% 0.71/1.11 T ) }.
% 0.71/1.11 { ! cyclic( X, Y, U, Z ), ! cyclic( X, Y, U, T ), ! cyclic( X, Y, U, W ), !
% 0.71/1.11 eqangle( U, X, U, Y, W, Z, W, T ), cong( X, Y, Z, T ) }.
% 0.71/1.11 { ! midp( Z, U, X ), ! midp( T, U, Y ), para( Z, T, X, Y ) }.
% 0.71/1.11 { ! midp( U, X, T ), ! para( U, Z, T, Y ), ! coll( Z, X, Y ), midp( Z, X, Y
% 0.71/1.11 ) }.
% 0.71/1.11 { ! cong( Z, X, Z, Y ), eqangle( Z, X, X, Y, X, Y, Z, Y ) }.
% 0.71/1.11 { ! eqangle( Z, X, X, Y, X, Y, Z, Y ), coll( Z, X, Y ), cong( Z, X, Z, Y )
% 0.71/1.11 }.
% 0.71/1.11 { ! circle( U, X, Y, Z ), ! perp( U, X, X, T ), eqangle( X, T, X, Y, Z, X,
% 0.71/1.11 Z, Y ) }.
% 0.71/1.11 { ! circle( Y, X, T, U ), ! eqangle( X, Z, X, T, U, X, U, T ), perp( Y, X,
% 0.71/1.11 X, Z ) }.
% 0.71/1.11 { ! circle( T, X, Y, Z ), ! midp( U, Y, Z ), eqangle( X, Y, X, Z, T, Y, T,
% 0.71/1.11 U ) }.
% 0.71/1.11 { ! circle( U, T, X, Y ), ! coll( Z, X, Y ), ! eqangle( T, X, T, Y, U, X, U
% 0.71/1.11 , Z ), midp( Z, X, Y ) }.
% 0.71/1.11 { ! perp( X, Y, Y, T ), ! midp( Z, X, T ), cong( X, Z, Y, Z ) }.
% 0.71/1.11 { ! circle( T, X, Y, Z ), ! coll( T, X, Z ), perp( X, Y, Y, Z ) }.
% 0.71/1.11 { ! cyclic( X, Y, Z, T ), ! para( X, Y, Z, T ), eqangle( X, T, Z, T, Z, T,
% 0.71/1.11 Z, Y ) }.
% 0.71/1.11 { ! midp( T, X, Y ), ! perp( Z, T, X, Y ), cong( Z, X, Z, Y ) }.
% 0.71/1.11 { ! cong( X, Z, Y, Z ), ! cong( X, T, Y, T ), perp( X, Y, Z, T ) }.
% 0.71/1.11 { ! cong( X, Y, T, Y ), ! cong( X, Z, T, Z ), ! cyclic( X, T, Y, Z ), perp
% 0.71/1.11 ( Y, X, X, Z ) }.
% 0.71/1.11 { ! eqangle( X, Y, Y, Z, T, U, U, W ), ! eqangle( X, Z, Y, Z, T, W, U, W )
% 0.71/1.11 , coll( X, Y, Z ), simtri( X, Y, Z, T, U, W ) }.
% 0.71/1.11 { ! simtri( X, Y, Z, T, U, W ), eqratio( X, Y, X, Z, T, U, T, W ) }.
% 0.71/1.11 { ! simtri( X, Y, Z, T, U, W ), eqangle( X, Y, Y, Z, T, U, U, W ) }.
% 0.71/1.11 { ! simtri( X, Y, Z, T, U, W ), ! cong( X, Y, T, U ), contri( X, Y, Z, T, U
% 0.71/1.11 , W ) }.
% 0.71/1.11 { ! contri( X, Y, U, Z, T, W ), cong( X, Y, Z, T ) }.
% 0.71/1.11 { ! midp( U, X, Y ), ! midp( U, Z, T ), para( X, Z, Y, T ) }.
% 0.71/1.11 { ! midp( Z, T, U ), ! para( T, X, U, Y ), ! para( T, Y, U, X ), midp( Z, X
% 0.71/1.11 , Y ) }.
% 0.71/1.11 { ! para( X, Y, Z, T ), ! coll( U, X, Z ), ! coll( U, Y, T ), eqratio( U, X
% 0.71/1.11 , X, Z, U, Y, Y, T ) }.
% 0.71/1.11 { ! para( X, Y, X, Z ), coll( X, Y, Z ) }.
% 0.71/1.11 { ! cong( X, Y, X, Z ), ! coll( X, Y, Z ), midp( X, Y, Z ) }.
% 0.71/1.11 { ! midp( X, Y, Z ), cong( X, Y, X, Z ) }.
% 0.71/1.11 { ! midp( X, Y, Z ), coll( X, Y, Z ) }.
% 0.71/1.11 { ! midp( U, X, Y ), ! midp( W, Z, T ), eqratio( U, X, X, Y, W, Z, Z, T ) }
% 0.71/1.11 .
% 0.71/1.11 { ! eqangle( X, Y, Z, T, Z, T, X, Y ), para( X, Y, Z, T ), perp( X, Y, Z, T
% 0.71/1.11 ) }.
% 0.71/1.11 { ! eqangle( X, Y, Z, T, Z, T, X, Y ), perp( X, Y, Z, T ), para( X, Y, Z, T
% 0.71/1.11 ) }.
% 0.71/1.11 { ! eqangle( X, Y, Z, T, U, W, V0, V1 ), ! para( U, W, V0, V1 ), para( X, Y
% 0.71/1.11 , Z, T ) }.
% 0.71/1.11 { ! eqangle( X, Y, Z, T, U, W, V0, V1 ), ! perp( U, W, V0, V1 ), perp( X, Y
% 0.71/1.11 , Z, T ) }.
% 0.71/1.11 { ! eqratio( X, Y, Z, T, U, W, V0, V1 ), ! cong( U, W, V0, V1 ), cong( X, Y
% 0.71/1.11 , Z, T ) }.
% 0.71/1.11 { ! perp( Z, Y, Y, X ), ! eqangle( T, Z, Y, Z, Y, Z, X, Z ), coll( skol1( U
% 0.71/1.11 , W, Z, T ), Z, T ) }.
% 0.71/1.11 { ! perp( Z, Y, Y, X ), ! eqangle( T, Z, Y, Z, Y, Z, X, Z ), coll( skol1( X
% 0.71/1.11 , Y, Z, T ), X, Y ) }.
% 0.71/1.11 { ! cong( Z, X, Z, Y ), ! eqangle( X, Z, Z, T, Z, T, Z, Y ), coll( skol2( U
% 0.71/1.11 , W, Z, T ), Z, T ) }.
% 0.71/1.11 { ! cong( Z, X, Z, Y ), ! eqangle( X, Z, Z, T, Z, T, Z, Y ), coll( Y, X,
% 0.71/1.11 skol2( X, Y, Z, T ) ) }.
% 0.71/1.11 { ! perp( Z, T, X, Y ), ! eqangle( X, Z, Z, T, Z, T, Z, Y ), coll( skol3( U
% 0.71/1.11 , W, Z, T ), Z, T ) }.
% 0.71/1.11 { ! perp( Z, T, X, Y ), ! eqangle( X, Z, Z, T, Z, T, Z, Y ), coll( Y, X,
% 0.71/1.11 skol3( X, Y, Z, T ) ) }.
% 0.71/1.11 { ! perp( Z, T, X, Y ), ! cong( Z, X, Z, Y ), coll( skol4( U, W, Z, T ), Z
% 0.71/1.11 , T ) }.
% 0.71/1.11 { ! perp( Z, T, X, Y ), ! cong( Z, X, Z, Y ), coll( Y, X, skol4( X, Y, Z, T
% 0.71/1.11 ) ) }.
% 0.71/1.11 { ! eqangle( X, Z, Y, Z, X, T, Y, U ), coll( X, Y, Z ), cyclic( T, Y, Z,
% 0.71/1.11 skol5( W, Y, Z, T ) ) }.
% 0.71/1.11 { ! eqangle( X, Z, Y, Z, X, T, Y, U ), coll( X, Y, Z ), eqangle( X, Z, Y, Z
% 0.71/1.11 , X, skol5( X, Y, Z, T ), Y, skol5( X, Y, Z, T ) ) }.
% 0.71/1.11 { ! midp( U, X, Y ), ! midp( W, Z, T ), midp( skol6( X, V0, V1, T, V2, V3 )
% 0.71/1.11 , X, T ) }.
% 0.71/1.11 { ! midp( U, X, Y ), ! midp( W, Z, T ), para( skol6( X, V0, Z, T, V1, W ),
% 0.71/1.11 W, X, Z ) }.
% 0.71/1.11 { ! midp( U, X, Y ), ! midp( W, Z, T ), para( skol6( X, Y, Z, T, U, W ), U
% 0.71/1.11 , Y, T ) }.
% 0.71/1.11 { ! midp( Z, X, Y ), ! midp( W, T, U ), ! coll( T, X, Y ), ! coll( U, X, Y
% 0.71/1.11 ), midp( skol7( X, V0 ), X, V0 ) }.
% 0.71/1.11 { ! midp( T, X, U ), ! para( X, W, Z, T ), ! para( X, W, U, Y ), ! coll( W
% 0.71/1.11 , Y, Z ), coll( skol8( V0, V1, Z, T ), T, Z ) }.
% 0.71/1.11 { ! midp( T, X, U ), ! para( X, W, Z, T ), ! para( X, W, U, Y ), ! coll( W
% 0.71/1.11 , Y, Z ), coll( skol8( X, Y, Z, T ), X, Y ) }.
% 0.71/1.11 { ! cong( T, Z, T, U ), ! perp( X, Y, Y, T ), cong( T, Z, T, skol9( W, V0,
% 0.71/1.11 Z, T ) ) }.
% 0.71/1.11 { ! cong( T, Z, T, U ), ! perp( X, Y, Y, T ), cong( Y, Z, Y, skol9( W, Y, Z
% 0.71/1.11 , T ) ) }.
% 0.71/1.11 { ! cong( T, Z, T, U ), ! perp( X, Y, Y, T ), para( skol9( X, Y, Z, T ), Z
% 0.71/1.11 , X, Y ) }.
% 0.71/1.11 { ! perp( X, T, Y, Z ), ! perp( Y, T, X, Z ), coll( skol10( U, Y, Z ), Z, Y
% 0.71/1.11 ) }.
% 0.71/1.11 { ! perp( X, T, Y, Z ), ! perp( Y, T, X, Z ), perp( X, skol10( X, Y, Z ), Z
% 0.71/1.11 , Y ) }.
% 0.71/1.11 { ! perp( X, T, Y, Z ), ! perp( Y, T, X, Z ), alpha1( X, Y, Z ) }.
% 0.71/1.11 { ! alpha1( X, Y, Z ), coll( skol11( X, T, Z ), Z, X ) }.
% 0.71/1.11 { ! alpha1( X, Y, Z ), perp( Y, skol11( X, Y, Z ), Z, X ) }.
% 0.71/1.11 { ! coll( T, Z, X ), ! perp( Y, T, Z, X ), alpha1( X, Y, Z ) }.
% 0.71/1.11 { ! circle( Y, X, Z, T ), perp( skol12( X, Y ), X, X, Y ) }.
% 3.52/3.89 { ! circle( W, X, Y, Z ), ! cong( W, X, W, T ), ! cong( U, X, U, Y ), W = U
% 3.52/3.89 , alpha2( X, Z, U, skol13( X, V0, Z, V1, U ) ) }.
% 3.52/3.89 { ! circle( W, X, Y, Z ), ! cong( W, X, W, T ), ! cong( U, X, U, Y ), W = U
% 3.52/3.89 , coll( skol21( V0, Y, T, V1 ), Y, T ) }.
% 3.52/3.89 { ! circle( W, X, Y, Z ), ! cong( W, X, W, T ), ! cong( U, X, U, Y ), W = U
% 3.52/3.89 , cong( skol21( X, Y, T, U ), U, U, X ) }.
% 3.52/3.89 { ! alpha2( X, Y, Z, T ), coll( T, X, Y ) }.
% 3.52/3.89 { ! alpha2( X, Y, Z, T ), cong( T, Z, Z, X ) }.
% 3.52/3.89 { ! coll( T, X, Y ), ! cong( T, Z, Z, X ), alpha2( X, Y, Z, T ) }.
% 3.52/3.89 { ! cyclic( X, Y, Z, T ), ! para( X, Y, Z, T ), ! midp( U, X, Y ), circle(
% 3.52/3.89 skol14( X, Y, Z ), X, Y, Z ) }.
% 3.52/3.89 { ! perp( X, Z, Z, Y ), ! cyclic( X, Y, Z, T ), circle( skol15( X, Y, Z ),
% 3.52/3.89 X, Y, Z ) }.
% 3.52/3.89 { ! perp( X, U, U, T ), ! coll( T, Y, Z ), coll( skol16( W, Y, Z ), Y, Z )
% 3.52/3.89 }.
% 3.52/3.89 { ! perp( X, U, U, T ), ! coll( T, Y, Z ), perp( skol16( X, Y, Z ), X, Y, Z
% 3.52/3.89 ) }.
% 3.52/3.89 { ! perp( X, Z, X, Y ), ! perp( Y, X, Y, T ), ! midp( U, Z, T ), midp(
% 3.52/3.89 skol17( X, Y ), X, Y ) }.
% 3.52/3.89 { ! cong( Y, X, Y, Z ), ! perp( X, Y, Y, Z ), coll( X, Y, skol18( X, Y ) )
% 3.52/3.89 }.
% 3.52/3.89 { ! cong( Y, X, Y, Z ), ! perp( X, Y, Y, Z ), cong( Y, X, Y, skol18( X, Y )
% 3.52/3.89 ) }.
% 3.52/3.89 { ! para( U, W, X, Y ), ! coll( Z, U, X ), ! coll( Z, W, Y ), ! coll( T, U
% 3.52/3.89 , W ), coll( Z, T, skol19( V0, V1, Z, T ) ) }.
% 3.52/3.89 { ! para( U, W, X, Y ), ! coll( Z, U, X ), ! coll( Z, W, Y ), ! coll( T, U
% 3.52/3.89 , W ), coll( skol19( X, Y, Z, T ), X, Y ) }.
% 3.52/3.89 { circle( skol27, skol25, skol26, skol20 ) }.
% 3.52/3.89 { perp( skol25, skol20, skol26, skol22 ) }.
% 3.52/3.89 { circle( skol27, skol25, skol22, skol28 ) }.
% 3.52/3.89 { coll( skol23, skol25, skol20 ) }.
% 3.52/3.89 { coll( skol23, skol26, skol22 ) }.
% 3.52/3.89 { midp( skol24, skol26, skol25 ) }.
% 3.52/3.89 { ! perp( skol24, skol23, skol20, skol22 ) }.
% 3.52/3.89
% 3.52/3.89 percentage equality = 0.008798, percentage horn = 0.926829
% 3.52/3.89 This is a problem with some equality
% 3.52/3.89
% 3.52/3.89
% 3.52/3.89
% 3.52/3.89 Options Used:
% 3.52/3.89
% 3.52/3.89 useres = 1
% 3.52/3.89 useparamod = 1
% 3.52/3.89 useeqrefl = 1
% 3.52/3.89 useeqfact = 1
% 3.52/3.89 usefactor = 1
% 3.52/3.89 usesimpsplitting = 0
% 3.52/3.89 usesimpdemod = 5
% 3.52/3.89 usesimpres = 3
% 3.52/3.89
% 3.52/3.89 resimpinuse = 1000
% 3.52/3.89 resimpclauses = 20000
% 3.52/3.89 substype = eqrewr
% 3.52/3.89 backwardsubs = 1
% 3.52/3.89 selectoldest = 5
% 3.52/3.89
% 3.52/3.89 litorderings [0] = split
% 3.52/3.89 litorderings [1] = extend the termordering, first sorting on arguments
% 3.52/3.89
% 3.52/3.89 termordering = kbo
% 3.52/3.89
% 3.52/3.89 litapriori = 0
% 3.52/3.89 termapriori = 1
% 3.52/3.89 litaposteriori = 0
% 3.52/3.89 termaposteriori = 0
% 3.52/3.89 demodaposteriori = 0
% 3.52/3.89 ordereqreflfact = 0
% 3.52/3.89
% 3.52/3.89 litselect = negord
% 3.52/3.89
% 3.52/3.89 maxweight = 15
% 3.52/3.89 maxdepth = 30000
% 3.52/3.89 maxlength = 115
% 3.52/3.89 maxnrvars = 195
% 3.52/3.89 excuselevel = 1
% 3.52/3.89 increasemaxweight = 1
% 3.52/3.89
% 3.52/3.89 maxselected = 10000000
% 3.52/3.89 maxnrclauses = 10000000
% 3.52/3.89
% 3.52/3.89 showgenerated = 0
% 3.52/3.89 showkept = 0
% 3.52/3.89 showselected = 0
% 3.52/3.89 showdeleted = 0
% 3.52/3.89 showresimp = 1
% 3.52/3.89 showstatus = 2000
% 3.52/3.89
% 3.52/3.89 prologoutput = 0
% 3.52/3.89 nrgoals = 5000000
% 3.52/3.89 totalproof = 1
% 3.52/3.89
% 3.52/3.89 Symbols occurring in the translation:
% 3.52/3.89
% 3.52/3.89 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 3.52/3.89 . [1, 2] (w:1, o:38, a:1, s:1, b:0),
% 3.52/3.89 ! [4, 1] (w:0, o:33, a:1, s:1, b:0),
% 3.52/3.89 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 3.52/3.89 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 3.52/3.89 coll [38, 3] (w:1, o:66, a:1, s:1, b:0),
% 3.52/3.89 para [40, 4] (w:1, o:74, a:1, s:1, b:0),
% 3.52/3.89 perp [43, 4] (w:1, o:75, a:1, s:1, b:0),
% 3.52/3.89 midp [45, 3] (w:1, o:67, a:1, s:1, b:0),
% 3.52/3.89 cong [47, 4] (w:1, o:76, a:1, s:1, b:0),
% 3.52/3.89 circle [48, 4] (w:1, o:77, a:1, s:1, b:0),
% 3.52/3.89 cyclic [49, 4] (w:1, o:78, a:1, s:1, b:0),
% 3.52/3.89 eqangle [54, 8] (w:1, o:93, a:1, s:1, b:0),
% 3.52/3.89 eqratio [57, 8] (w:1, o:94, a:1, s:1, b:0),
% 3.52/3.89 simtri [59, 6] (w:1, o:90, a:1, s:1, b:0),
% 3.52/3.89 contri [60, 6] (w:1, o:91, a:1, s:1, b:0),
% 3.52/3.89 alpha1 [65, 3] (w:1, o:68, a:1, s:1, b:1),
% 3.52/3.89 alpha2 [66, 4] (w:1, o:79, a:1, s:1, b:1),
% 3.52/3.89 skol1 [67, 4] (w:1, o:80, a:1, s:1, b:1),
% 3.52/3.89 skol2 [68, 4] (w:1, o:82, a:1, s:1, b:1),
% 3.52/3.89 skol3 [69, 4] (w:1, o:84, a:1, s:1, b:1),
% 3.52/3.89 skol4 [70, 4] (w:1, o:85, a:1, s:1, b:1),
% 3.52/3.89 skol5 [71, 4] (w:1, o:86, a:1, s:1, b:1),
% 3.52/3.89 skol6 [72, 6] (w:1, o:92, a:1, s:1, b:1),
% 3.52/3.89 skol7 [73, 2] (w:1, o:62, a:1, s:1, b:1),
% 3.52/3.89 skol8 [74, 4] (w:1, o:87, a:1, s:1, b:1),
% 3.52/3.89 skol9 [75, 4] (w:1, o:88, a:1, s:1, b:1),
% 3.52/3.89 skol10 [76, 3] (w:1, o:69, a:1, s:1, b:1),
% 3.52/3.89 skol11 [77, 3] (w:1, o:70, a:1, s:1, b:1),
% 3.52/3.89 skol12 [78, 2] (w:1, o:63, a:1, s:1, b:1),
% 3.52/3.89 skol13 [79, 5] (w:1, o:89, a:1, s:1, b:1),
% 3.52/3.89 skol14 [80, 3] (w:1, o:71, a:1, s:1, b:1),
% 3.52/3.89 skol15 [81, 3] (w:1, o:72, a:1, s:1, b:1),
% 3.52/3.89 skol16 [82, 3] (w:1, o:73, a:1, s:1, b:1),
% 3.52/3.89 skol17 [83, 2] (w:1, o:64, a:1, s:1, b:1),
% 3.52/3.89 skol18 [84, 2] (w:1, o:65, a:1, s:1, b:1),
% 3.52/3.89 skol19 [85, 4] (w:1, o:81, a:1, s:1, b:1),
% 3.52/3.89 skol20 [86, 0] (w:1, o:25, a:1, s:1, b:1),
% 3.52/3.89 skol21 [87, 4] (w:1, o:83, a:1, s:1, b:1),
% 3.52/3.89 skol22 [88, 0] (w:1, o:26, a:1, s:1, b:1),
% 3.52/3.89 skol23 [89, 0] (w:1, o:27, a:1, s:1, b:1),
% 3.52/3.89 skol24 [90, 0] (w:1, o:28, a:1, s:1, b:1),
% 3.52/3.89 skol25 [91, 0] (w:1, o:29, a:1, s:1, b:1),
% 3.52/3.89 skol26 [92, 0] (w:1, o:30, a:1, s:1, b:1),
% 3.52/3.89 skol27 [93, 0] (w:1, o:31, a:1, s:1, b:1),
% 3.52/3.89 skol28 [94, 0] (w:1, o:32, a:1, s:1, b:1).
% 3.52/3.89
% 3.52/3.89
% 3.52/3.89 Starting Search:
% 3.52/3.89
% 3.52/3.89 *** allocated 15000 integers for clauses
% 3.52/3.89 *** allocated 22500 integers for clauses
% 3.52/3.89 *** allocated 33750 integers for clauses
% 3.52/3.89 *** allocated 22500 integers for termspace/termends
% 3.52/3.89 *** allocated 50625 integers for clauses
% 3.52/3.89 *** allocated 75937 integers for clauses
% 3.52/3.89 Resimplifying inuse:
% 3.52/3.89 Done
% 3.52/3.89
% 3.52/3.89 *** allocated 33750 integers for termspace/termends
% 3.52/3.89 *** allocated 113905 integers for clauses
% 3.52/3.89 *** allocated 50625 integers for termspace/termends
% 3.52/3.89
% 3.52/3.89 Intermediate Status:
% 3.52/3.89 Generated: 13185
% 3.52/3.89 Kept: 2003
% 3.52/3.89 Inuse: 334
% 3.52/3.89 Deleted: 0
% 3.52/3.89 Deletedinuse: 0
% 3.52/3.89
% 3.52/3.89 Resimplifying inuse:
% 3.52/3.89 Done
% 3.52/3.89
% 3.52/3.89 *** allocated 170857 integers for clauses
% 3.52/3.89 *** allocated 75937 integers for termspace/termends
% 3.52/3.89 Resimplifying inuse:
% 3.52/3.89 Done
% 3.52/3.89
% 3.52/3.89 *** allocated 256285 integers for clauses
% 3.52/3.89 *** allocated 113905 integers for termspace/termends
% 3.52/3.89
% 3.52/3.89 Intermediate Status:
% 3.52/3.89 Generated: 26590
% 3.52/3.89 Kept: 4033
% 3.52/3.89 Inuse: 471
% 3.52/3.89 Deleted: 0
% 3.52/3.89 Deletedinuse: 0
% 3.52/3.89
% 3.52/3.89 Resimplifying inuse:
% 3.52/3.89 Done
% 3.52/3.89
% 3.52/3.89 Resimplifying inuse:
% 3.52/3.89 Done
% 3.52/3.89
% 3.52/3.89 *** allocated 384427 integers for clauses
% 3.52/3.89 *** allocated 170857 integers for termspace/termends
% 3.52/3.89
% 3.52/3.89 Intermediate Status:
% 3.52/3.89 Generated: 40163
% 3.52/3.89 Kept: 6035
% 3.52/3.89 Inuse: 541
% 3.52/3.89 Deleted: 0
% 3.52/3.89 Deletedinuse: 0
% 3.52/3.89
% 3.52/3.89 Resimplifying inuse:
% 3.52/3.89 Done
% 3.52/3.89
% 3.52/3.89 Resimplifying inuse:
% 3.52/3.89 Done
% 3.52/3.89
% 3.52/3.89 *** allocated 576640 integers for clauses
% 3.52/3.89
% 3.52/3.89 Intermediate Status:
% 3.52/3.89 Generated: 55191
% 3.52/3.89 Kept: 8039
% 3.52/3.89 Inuse: 696
% 3.52/3.89 Deleted: 20
% 3.52/3.89 Deletedinuse: 0
% 3.52/3.89
% 3.52/3.89 Resimplifying inuse:
% 3.52/3.89 Done
% 3.52/3.89
% 3.52/3.89 *** allocated 256285 integers for termspace/termends
% 3.52/3.89 Resimplifying inuse:
% 3.52/3.89 Done
% 3.52/3.89
% 3.52/3.89
% 3.52/3.89 Intermediate Status:
% 3.52/3.89 Generated: 65225
% 3.52/3.89 Kept: 10116
% 3.52/3.89 Inuse: 879
% 3.52/3.89 Deleted: 753
% 3.52/3.89 Deletedinuse: 536
% 3.52/3.89
% 3.52/3.89 Resimplifying inuse:
% 3.52/3.89 Done
% 3.52/3.89
% 3.52/3.89 Resimplifying inuse:
% 3.52/3.89 Done
% 3.52/3.89
% 3.52/3.89 *** allocated 864960 integers for clauses
% 3.52/3.89
% 3.52/3.89 Intermediate Status:
% 3.52/3.89 Generated: 74841
% 3.52/3.89 Kept: 12140
% 3.52/3.89 Inuse: 1039
% 3.52/3.89 Deleted: 756
% 3.52/3.89 Deletedinuse: 539
% 3.52/3.89
% 3.52/3.89 Resimplifying inuse:
% 3.52/3.89 Done
% 3.52/3.89
% 3.52/3.89 Resimplifying inuse:
% 3.52/3.89 Done
% 3.52/3.89
% 3.52/3.89
% 3.52/3.89 Intermediate Status:
% 3.52/3.89 Generated: 85211
% 3.52/3.89 Kept: 14150
% 3.52/3.89 Inuse: 1239
% 3.52/3.89 Deleted: 775
% 3.52/3.89 Deletedinuse: 539
% 3.52/3.89
% 3.52/3.89 Resimplifying inuse:
% 3.52/3.89 Done
% 3.52/3.89
% 3.52/3.89 *** allocated 384427 integers for termspace/termends
% 3.52/3.89 Resimplifying inuse:
% 3.52/3.89 Done
% 3.52/3.89
% 3.52/3.89
% 3.52/3.89 Intermediate Status:
% 3.52/3.89 Generated: 99882
% 3.52/3.89 Kept: 16160
% 3.52/3.89 Inuse: 1517
% 3.52/3.89 Deleted: 803
% 3.52/3.89 Deletedinuse: 539
% 3.52/3.89
% 3.52/3.89 Resimplifying inuse:
% 3.52/3.89 Done
% 3.52/3.89
% 3.52/3.89 *** allocated 1297440 integers for clauses
% 3.52/3.89 Resimplifying inuse:
% 3.52/3.89 Done
% 3.52/3.89
% 3.52/3.89
% 3.52/3.89 Intermediate Status:
% 3.52/3.89 Generated: 119837
% 3.52/3.89 Kept: 18164
% 3.52/3.89 Inuse: 1909
% 3.52/3.89 Deleted: 911
% 3.52/3.89 Deletedinuse: 597
% 3.52/3.89
% 3.52/3.89 Resimplifying inuse:
% 3.52/3.89 Done
% 3.52/3.89
% 3.52/3.89 Resimplifying inuse:
% 3.52/3.89 Done
% 3.52/3.89
% 3.52/3.89 Resimplifying clauses:
% 3.52/3.89 Done
% 3.52/3.89
% 3.52/3.89
% 3.52/3.89 Intermediate Status:
% 3.52/3.89 Generated: 130093
% 3.52/3.89 Kept: 20223
% 3.52/3.89 Inuse: 2036
% 3.52/3.89 Deleted: 8241
% 3.52/3.89 Deletedinuse: 731
% 3.52/3.89
% 3.52/3.89 Resimplifying inuse:
% 3.52/3.89 Done
% 3.52/3.89
% 3.52/3.89 Resimplifying inuse:
% 3.52/3.89 Done
% 3.52/3.89
% 3.52/3.89
% 3.52/3.89 Intermediate Status:
% 3.52/3.89 Generated: 139789
% 3.52/3.89 Kept: 22234
% 3.52/3.89 Inuse: 2212
% 3.52/3.89 Deleted: 8444
% 3.52/3.89 Deletedinuse: 891
% 3.52/3.89
% 3.52/3.89
% 3.52/3.89 Bliksems!, er is een bewijs:
% 3.52/3.89 % SZS status Theorem
% 3.52/3.89 % SZS output start Refutation
% 3.52/3.89
% 3.52/3.89 (0) {G0,W8,D2,L2,V3,M2} I { ! coll( X, Y, Z ), coll( X, Z, Y ) }.
% 3.52/3.89 (1) {G0,W8,D2,L2,V3,M2} I { ! coll( X, Y, Z ), coll( Y, X, Z ) }.
% 3.52/3.89 (2) {G0,W12,D2,L3,V4,M3} I { ! coll( X, T, Y ), ! coll( X, T, Z ), coll( Y
% 3.52/3.89 , Z, X ) }.
% 3.52/3.89 (3) {G0,W10,D2,L2,V4,M2} I { ! para( X, Y, Z, T ), para( X, Y, T, Z ) }.
% 3.52/3.89 (4) {G0,W10,D2,L2,V4,M2} I { ! para( X, Y, Z, T ), para( Z, T, X, Y ) }.
% 3.52/3.89 (6) {G0,W10,D2,L2,V4,M2} I { ! perp( X, Y, Z, T ), perp( X, Y, T, Z ) }.
% 3.52/3.89 (7) {G0,W10,D2,L2,V4,M2} I { ! perp( X, Y, Z, T ), perp( Z, T, X, Y ) }.
% 3.52/3.89 (8) {G0,W15,D2,L3,V6,M3} I { ! perp( X, Y, U, W ), ! perp( U, W, Z, T ),
% 3.52/3.89 para( X, Y, Z, T ) }.
% 3.52/3.89 (9) {G0,W15,D2,L3,V6,M3} I { ! para( X, Y, U, W ), ! perp( U, W, Z, T ),
% 3.52/3.89 perp( X, Y, Z, T ) }.
% 3.52/3.89 (10) {G0,W8,D2,L2,V3,M2} I { ! midp( Z, Y, X ), midp( Z, X, Y ) }.
% 3.52/3.89 (11) {G0,W15,D2,L3,V4,M3} I { ! cong( T, X, T, Y ), ! cong( T, X, T, Z ),
% 3.52/3.89 circle( T, X, Y, Z ) }.
% 3.52/3.89 (12) {G0,W20,D2,L4,V5,M4} I { ! cong( U, X, U, Y ), ! cong( U, X, U, Z ), !
% 3.52/3.89 cong( U, X, U, T ), cyclic( X, Y, Z, T ) }.
% 3.52/3.89 (13) {G0,W10,D2,L2,V4,M2} I { ! cyclic( X, Y, Z, T ), cyclic( X, Y, T, Z )
% 3.52/3.89 }.
% 3.52/3.89 (14) {G0,W10,D2,L2,V4,M2} I { ! cyclic( X, Y, Z, T ), cyclic( X, Z, Y, T )
% 3.52/3.89 }.
% 3.52/3.89 (15) {G0,W10,D2,L2,V4,M2} I { ! cyclic( X, Y, Z, T ), cyclic( Y, X, Z, T )
% 3.52/3.89 }.
% 3.52/3.89 (16) {G0,W15,D2,L3,V5,M3} I { ! cyclic( U, X, Y, Z ), ! cyclic( U, X, Y, T
% 3.52/3.89 ), cyclic( X, Y, Z, T ) }.
% 3.52/3.89 (17) {G0,W18,D2,L2,V8,M2} I { ! eqangle( X, Y, Z, T, U, W, V0, V1 ),
% 3.52/3.89 eqangle( Y, X, Z, T, U, W, V0, V1 ) }.
% 3.52/3.89 (18) {G0,W18,D2,L2,V8,M2} I { ! eqangle( X, Y, Z, T, U, W, V0, V1 ),
% 3.52/3.89 eqangle( Z, T, X, Y, V0, V1, U, W ) }.
% 3.52/3.89 (19) {G0,W18,D2,L2,V8,M2} I { ! eqangle( X, Y, Z, T, U, W, V0, V1 ),
% 3.52/3.89 eqangle( U, W, V0, V1, X, Y, Z, T ) }.
% 3.52/3.89 (20) {G0,W18,D2,L2,V8,M2} I { ! eqangle( X, Y, Z, T, U, W, V0, V1 ),
% 3.52/3.89 eqangle( X, Y, U, W, Z, T, V0, V1 ) }.
% 3.52/3.89 (22) {G0,W10,D2,L2,V4,M2} I { ! cong( X, Y, Z, T ), cong( X, Y, T, Z ) }.
% 3.52/3.89 (23) {G0,W10,D2,L2,V4,M2} I { ! cong( X, Y, Z, T ), cong( Z, T, X, Y ) }.
% 3.52/3.89 (24) {G0,W15,D2,L3,V6,M3} I { ! cong( X, Y, U, W ), ! cong( U, W, Z, T ),
% 3.52/3.89 cong( X, Y, Z, T ) }.
% 3.52/3.89 (39) {G0,W14,D2,L2,V6,M2} I { ! para( X, Y, Z, T ), eqangle( X, Y, U, W, Z
% 3.52/3.89 , T, U, W ) }.
% 3.52/3.89 (40) {G0,W14,D2,L2,V4,M2} I { ! cyclic( X, Y, Z, T ), eqangle( Z, X, Z, Y,
% 3.52/3.89 T, X, T, Y ) }.
% 3.52/3.89 (42) {G0,W18,D2,L3,V4,M3} I { ! eqangle( Z, X, Z, Y, T, X, T, Y ), ! coll(
% 3.52/3.89 Z, T, Y ), cyclic( X, Y, Z, T ) }.
% 3.52/3.89 (43) {G0,W29,D2,L5,V6,M5} I { ! cyclic( X, Y, U, Z ), ! cyclic( X, Y, U, T
% 3.52/3.89 ), ! cyclic( X, Y, U, W ), ! eqangle( U, X, U, Y, W, Z, W, T ), cong( X
% 3.52/3.89 , Y, Z, T ) }.
% 3.52/3.89 (46) {G0,W14,D2,L2,V3,M2} I { ! cong( Z, X, Z, Y ), eqangle( Z, X, X, Y, X
% 3.52/3.89 , Y, Z, Y ) }.
% 3.52/3.89 (56) {G0,W15,D2,L3,V4,M3} I { ! cong( X, Z, Y, Z ), ! cong( X, T, Y, T ),
% 3.52/3.89 perp( X, Y, Z, T ) }.
% 3.52/3.89 (57) {G0,W20,D2,L4,V4,M4} I { ! cong( X, Y, T, Y ), ! cong( X, Z, T, Z ), !
% 3.52/3.89 cyclic( X, T, Y, Z ), perp( Y, X, X, Z ) }.
% 3.52/3.89 (63) {G0,W13,D2,L3,V5,M3} I { ! midp( U, X, Y ), ! midp( U, Z, T ), para( X
% 3.52/3.89 , Z, Y, T ) }.
% 3.52/3.89 (68) {G0,W9,D2,L2,V3,M2} I { ! midp( X, Y, Z ), cong( X, Y, X, Z ) }.
% 3.52/3.89 (69) {G0,W8,D2,L2,V3,M2} I { ! midp( X, Y, Z ), coll( X, Y, Z ) }.
% 3.52/3.89 (71) {G0,W19,D2,L3,V4,M3} I { ! eqangle( X, Y, Z, T, Z, T, X, Y ), para( X
% 3.52/3.89 , Y, Z, T ), perp( X, Y, Z, T ) }.
% 3.52/3.89 (73) {G0,W19,D2,L3,V8,M3} I { ! eqangle( X, Y, Z, T, U, W, V0, V1 ), ! perp
% 3.52/3.89 ( U, W, V0, V1 ), perp( X, Y, Z, T ) }.
% 3.52/3.89 (88) {G0,W22,D3,L5,V7,M5} I { ! midp( Z, X, Y ), ! midp( W, T, U ), ! coll
% 3.52/3.89 ( T, X, Y ), ! coll( U, X, Y ), midp( skol7( X, V0 ), X, V0 ) }.
% 3.52/3.89 (96) {G0,W14,D2,L3,V4,M3} I { ! perp( X, T, Y, Z ), ! perp( Y, T, X, Z ),
% 3.52/3.89 alpha1( X, Y, Z ) }.
% 3.52/3.89 (98) {G0,W12,D3,L2,V3,M2} I { ! alpha1( X, Y, Z ), perp( Y, skol11( X, Y, Z
% 3.52/3.89 ), Z, X ) }.
% 3.52/3.89 (100) {G0,W12,D3,L2,V4,M2} I { ! circle( Y, X, Z, T ), perp( skol12( X, Y )
% 3.52/3.89 , X, X, Y ) }.
% 3.52/3.89 (110) {G0,W17,D3,L3,V5,M3} I { ! perp( X, U, U, T ), ! coll( T, Y, Z ),
% 3.52/3.89 perp( skol16( X, Y, Z ), X, Y, Z ) }.
% 3.52/3.89 (121) {G0,W4,D2,L1,V0,M1} I { midp( skol24, skol26, skol25 ) }.
% 3.52/3.89 (122) {G0,W5,D2,L1,V0,M1} I { ! perp( skol24, skol23, skol20, skol22 ) }.
% 3.52/3.89 (125) {G1,W10,D2,L2,V3,M2} F(11) { ! cong( X, Y, X, Z ), circle( X, Y, Z, Z
% 3.52/3.89 ) }.
% 3.52/3.89 (128) {G1,W15,D2,L3,V4,M3} F(12) { ! cong( X, Y, X, Z ), ! cong( X, Y, X, T
% 3.52/3.89 ), cyclic( Y, Z, T, T ) }.
% 3.52/3.89 (129) {G2,W10,D2,L2,V3,M2} F(128) { ! cong( X, Y, X, Z ), cyclic( Y, Z, Z,
% 3.52/3.89 Z ) }.
% 3.52/3.89 (130) {G1,W10,D2,L2,V4,M2} F(16) { ! cyclic( X, Y, Z, T ), cyclic( Y, Z, T
% 3.52/3.89 , T ) }.
% 3.52/3.89 (133) {G1,W24,D2,L4,V5,M4} F(43) { ! cyclic( X, Y, Z, T ), ! cyclic( X, Y,
% 3.52/3.89 Z, U ), ! eqangle( Z, X, Z, Y, U, T, U, U ), cong( X, Y, T, U ) }.
% 3.52/3.89 (136) {G1,W15,D2,L3,V3,M3} F(57) { ! cong( X, Y, Z, Y ), ! cyclic( X, Z, Y
% 3.52/3.89 , Y ), perp( Y, X, X, Y ) }.
% 3.52/3.89 (138) {G1,W9,D2,L2,V3,M2} F(63) { ! midp( X, Y, Z ), para( Y, Y, Z, Z ) }.
% 3.52/3.89 (145) {G1,W18,D3,L4,V4,M4} F(88) { ! midp( X, Y, Z ), ! coll( Y, Y, Z ), !
% 3.52/3.89 coll( Z, Y, Z ), midp( skol7( Y, T ), Y, T ) }.
% 3.52/3.89 (152) {G1,W9,D2,L2,V3,M2} F(96) { ! perp( X, Y, X, Z ), alpha1( X, X, Z )
% 3.52/3.89 }.
% 3.52/3.89 (164) {G1,W8,D2,L2,V3,M2} R(1,0) { coll( X, Y, Z ), ! coll( Y, Z, X ) }.
% 3.52/3.89 (165) {G1,W8,D2,L2,V3,M2} R(1,0) { ! coll( X, Y, Z ), coll( Y, Z, X ) }.
% 3.52/3.89 (189) {G1,W12,D2,L3,V4,M3} R(2,0) { ! coll( X, Y, Z ), ! coll( X, Y, T ),
% 3.52/3.89 coll( Z, X, T ) }.
% 3.52/3.89 (194) {G2,W8,D2,L2,V3,M2} F(189) { ! coll( X, Y, Z ), coll( Z, X, Z ) }.
% 3.52/3.89 (211) {G3,W12,D2,L3,V4,M3} R(194,2) { coll( X, Y, X ), ! coll( X, Z, Y ), !
% 3.52/3.89 coll( X, Z, T ) }.
% 3.52/3.89 (224) {G4,W8,D2,L2,V3,M2} F(211) { coll( X, Y, X ), ! coll( X, Z, Y ) }.
% 3.52/3.89 (264) {G1,W10,D2,L2,V4,M2} R(7,6) { perp( X, Y, Z, T ), ! perp( Z, T, Y, X
% 3.52/3.89 ) }.
% 3.52/3.89 (265) {G1,W10,D2,L2,V4,M2} R(7,6) { ! perp( X, Y, Z, T ), perp( Z, T, Y, X
% 3.52/3.89 ) }.
% 3.52/3.89 (275) {G1,W15,D2,L3,V6,M3} R(8,7) { ! perp( X, Y, Z, T ), para( U, W, Z, T
% 3.52/3.89 ), ! perp( X, Y, U, W ) }.
% 3.52/3.89 (276) {G1,W15,D2,L3,V6,M3} R(8,7) { ! perp( X, Y, Z, T ), para( X, Y, U, W
% 3.52/3.89 ), ! perp( U, W, Z, T ) }.
% 3.52/3.89 (277) {G1,W15,D2,L3,V6,M3} R(8,6) { ! perp( X, Y, Z, T ), para( U, W, Z, T
% 3.52/3.89 ), ! perp( U, W, Y, X ) }.
% 3.52/3.89 (286) {G2,W10,D2,L2,V4,M2} F(276) { ! perp( X, Y, Z, T ), para( X, Y, X, Y
% 3.52/3.89 ) }.
% 3.52/3.89 (304) {G1,W15,D2,L3,V6,M3} R(9,3) { ! perp( X, Y, Z, T ), perp( U, W, Z, T
% 3.52/3.89 ), ! para( U, W, Y, X ) }.
% 3.52/3.89 (306) {G1,W10,D2,L2,V2,M2} R(9,122) { ! para( skol24, skol23, X, Y ), !
% 3.52/3.89 perp( X, Y, skol20, skol22 ) }.
% 3.52/3.89 (314) {G1,W4,D2,L1,V0,M1} R(10,121) { midp( skol24, skol25, skol26 ) }.
% 3.52/3.89 (347) {G1,W10,D2,L2,V4,M2} R(14,13) { ! cyclic( X, Y, Z, T ), cyclic( X, Z
% 3.52/3.89 , T, Y ) }.
% 3.52/3.89 (365) {G1,W10,D2,L2,V4,M2} R(15,14) { ! cyclic( X, Y, Z, T ), cyclic( Y, Z
% 3.52/3.89 , X, T ) }.
% 3.52/3.89 (390) {G1,W15,D2,L3,V5,M3} R(16,13) { ! cyclic( X, Y, Z, T ), cyclic( Y, Z
% 3.52/3.89 , T, U ), ! cyclic( X, Y, U, Z ) }.
% 3.52/3.89 (412) {G5,W8,D2,L2,V3,M2} R(224,1) { ! coll( X, Y, Z ), coll( Z, X, X ) }.
% 3.52/3.89 (417) {G6,W8,D2,L2,V3,M2} R(412,1) { coll( X, Y, Y ), ! coll( Z, Y, X ) }.
% 3.52/3.89 (418) {G6,W8,D2,L2,V3,M2} R(412,0) { coll( X, Y, Y ), ! coll( Y, X, Z ) }.
% 3.52/3.89 (422) {G1,W18,D2,L2,V8,M2} R(19,18) { eqangle( X, Y, Z, T, U, W, V0, V1 ),
% 3.52/3.89 ! eqangle( V0, V1, U, W, Z, T, X, Y ) }.
% 3.52/3.89 (423) {G1,W18,D2,L2,V8,M2} R(19,17) { eqangle( X, Y, Z, T, U, W, V0, V1 ),
% 3.52/3.89 ! eqangle( W, U, V0, V1, X, Y, Z, T ) }.
% 3.52/3.89 (424) {G1,W18,D2,L2,V8,M2} R(19,17) { ! eqangle( X, Y, Z, T, U, W, V0, V1 )
% 3.52/3.89 , eqangle( W, U, V0, V1, X, Y, Z, T ) }.
% 3.52/3.89 (425) {G7,W8,D2,L2,V3,M2} R(418,418) { ! coll( X, Y, Z ), coll( X, Y, Y )
% 3.52/3.89 }.
% 3.52/3.89 (428) {G8,W12,D2,L3,V4,M3} R(425,2) { ! coll( X, Y, Z ), ! coll( X, Y, T )
% 3.52/3.89 , coll( T, Y, X ) }.
% 3.52/3.89 (429) {G9,W8,D2,L2,V3,M2} F(428) { ! coll( X, Y, Z ), coll( Z, Y, X ) }.
% 3.52/3.89 (433) {G10,W8,D2,L2,V3,M2} R(429,417) { coll( X, X, Y ), ! coll( Z, X, Y )
% 3.52/3.89 }.
% 3.52/3.89 (442) {G1,W18,D2,L2,V8,M2} R(20,17) { eqangle( X, Y, Z, T, U, W, V0, V1 ),
% 3.52/3.89 ! eqangle( Y, X, U, W, Z, T, V0, V1 ) }.
% 3.52/3.89 (484) {G11,W8,D2,L2,V3,M2} R(69,433) { ! midp( X, Y, Z ), coll( Y, Y, Z )
% 3.52/3.89 }.
% 3.52/3.89 (498) {G2,W4,D2,L1,V0,M1} R(69,314) { coll( skol24, skol25, skol26 ) }.
% 3.52/3.89 (503) {G1,W8,D2,L2,V3,M2} R(69,1) { ! midp( X, Y, Z ), coll( Y, X, Z ) }.
% 3.52/3.89 (504) {G1,W4,D2,L1,V0,M1} R(69,121) { coll( skol24, skol26, skol25 ) }.
% 3.52/3.89 (538) {G3,W4,D2,L1,V0,M1} R(498,1) { coll( skol25, skol24, skol26 ) }.
% 3.52/3.89 (548) {G1,W15,D2,L3,V6,M3} R(24,23) { ! cong( X, Y, Z, T ), cong( X, Y, U,
% 3.52/3.89 W ), ! cong( U, W, Z, T ) }.
% 3.52/3.89 (559) {G2,W10,D2,L2,V4,M2} F(548) { ! cong( X, Y, Z, T ), cong( X, Y, X, Y
% 3.52/3.89 ) }.
% 3.52/3.89 (581) {G4,W8,D2,L2,V1,M2} R(538,2) { ! coll( skol25, skol24, X ), coll(
% 3.52/3.89 skol26, X, skol25 ) }.
% 3.52/3.89 (595) {G2,W8,D2,L2,V1,M2} R(504,2) { ! coll( skol24, skol26, X ), coll(
% 3.52/3.89 skol25, X, skol24 ) }.
% 3.52/3.89 (650) {G3,W8,D2,L2,V1,M2} R(595,165) { coll( skol25, X, skol24 ), ! coll( X
% 3.52/3.89 , skol24, skol26 ) }.
% 3.52/3.89 (783) {G1,W14,D2,L3,V3,M3} R(42,39) { ! coll( X, X, Y ), cyclic( Z, Y, X, X
% 3.52/3.89 ), ! para( X, Z, X, Z ) }.
% 3.52/3.89 (913) {G1,W20,D2,L4,V4,M4} R(43,40);f { ! cyclic( X, Y, Z, X ), ! cyclic( X
% 3.52/3.89 , Y, Z, Y ), ! cyclic( X, Y, Z, T ), cong( X, Y, X, Y ) }.
% 3.52/3.89 (945) {G2,W15,D2,L3,V3,M3} F(913) { ! cyclic( X, Y, Z, X ), ! cyclic( X, Y
% 3.52/3.89 , Z, Y ), cong( X, Y, X, Y ) }.
% 3.52/3.89 (1502) {G4,W8,D2,L2,V1,M2} R(650,165) { ! coll( X, skol24, skol26 ), coll(
% 3.52/3.89 X, skol24, skol25 ) }.
% 3.52/3.89 (1520) {G5,W12,D2,L3,V2,M3} R(1502,2) { ! coll( X, skol24, skol26 ), ! coll
% 3.52/3.89 ( X, skol24, Y ), coll( skol25, Y, X ) }.
% 3.52/3.89 (1525) {G6,W8,D2,L2,V1,M2} F(1520) { ! coll( X, skol24, skol26 ), coll(
% 3.52/3.89 skol25, skol26, X ) }.
% 3.52/3.89 (1977) {G7,W8,D2,L2,V1,M2} R(1525,503) { coll( skol25, skol26, X ), ! midp
% 3.52/3.89 ( skol24, X, skol26 ) }.
% 3.52/3.89 (1996) {G8,W8,D2,L2,V1,M2} R(1977,165) { ! midp( skol24, X, skol26 ), coll
% 3.52/3.89 ( skol26, X, skol25 ) }.
% 3.52/3.89 (1997) {G8,W8,D2,L2,V1,M2} R(1977,164) { ! midp( skol24, X, skol26 ), coll
% 3.52/3.89 ( X, skol25, skol26 ) }.
% 3.52/3.89 (2004) {G9,W8,D2,L2,V1,M2} R(1996,10) { coll( skol26, X, skol25 ), ! midp(
% 3.52/3.89 skol24, skol26, X ) }.
% 3.52/3.89 (2100) {G10,W8,D2,L2,V1,M2} R(2004,1) { ! midp( skol24, skol26, X ), coll(
% 3.52/3.89 X, skol26, skol25 ) }.
% 3.52/3.89 (2426) {G2,W5,D2,L1,V0,M1} R(68,314) { cong( skol24, skol25, skol24, skol26
% 3.52/3.89 ) }.
% 3.52/3.89 (2427) {G1,W5,D2,L1,V0,M1} R(68,121) { cong( skol24, skol26, skol24, skol25
% 3.52/3.89 ) }.
% 3.52/3.89 (2436) {G3,W5,D2,L1,V0,M1} R(2426,22) { cong( skol24, skol25, skol26,
% 3.52/3.89 skol24 ) }.
% 3.52/3.89 (3855) {G5,W8,D2,L2,V1,M2} R(581,503) { coll( skol26, X, skol25 ), ! midp(
% 3.52/3.89 skol24, skol25, X ) }.
% 3.52/3.89 (3881) {G6,W8,D2,L2,V1,M2} R(3855,165) { ! midp( skol24, skol25, X ), coll
% 3.52/3.89 ( X, skol25, skol26 ) }.
% 3.52/3.89 (3936) {G7,W8,D2,L2,V1,M2} R(3881,10) { coll( X, skol25, skol26 ), ! midp(
% 3.52/3.89 skol24, X, skol25 ) }.
% 3.52/3.89 (3953) {G8,W8,D2,L2,V1,M2} R(3936,0) { ! midp( skol24, X, skol25 ), coll( X
% 3.52/3.89 , skol26, skol25 ) }.
% 3.52/3.89 (6974) {G3,W5,D2,L1,V0,M1} R(125,2426) { circle( skol24, skol25, skol26,
% 3.52/3.89 skol26 ) }.
% 3.52/3.89 (7070) {G4,W7,D3,L1,V0,M1} R(6974,100) { perp( skol12( skol25, skol24 ),
% 3.52/3.89 skol25, skol25, skol24 ) }.
% 3.52/3.89 (7130) {G3,W5,D2,L1,V0,M1} R(129,2427) { cyclic( skol26, skol25, skol25,
% 3.52/3.89 skol25 ) }.
% 3.52/3.89 (7163) {G4,W5,D2,L1,V0,M1} R(130,7130) { cyclic( skol25, skol25, skol25,
% 3.52/3.89 skol25 ) }.
% 3.52/3.89 (7750) {G11,W14,D3,L3,V2,M3} R(145,3953);r(2100) { ! midp( X, skol26,
% 3.52/3.89 skol25 ), midp( skol7( skol26, Y ), skol26, Y ), ! midp( skol24, skol26,
% 3.52/3.89 skol25 ) }.
% 3.52/3.89 (7754) {G9,W14,D3,L3,V2,M3} R(145,3881);r(1997) { ! midp( X, skol25, skol26
% 3.52/3.89 ), midp( skol7( skol25, Y ), skol25, Y ), ! midp( skol24, skol25, skol26
% 3.52/3.89 ) }.
% 3.52/3.89 (7876) {G10,W6,D3,L1,V1,M1} F(7754);r(314) { midp( skol7( skol25, X ),
% 3.52/3.89 skol25, X ) }.
% 3.52/3.89 (7877) {G12,W6,D3,L1,V1,M1} F(7750);r(121) { midp( skol7( skol26, X ),
% 3.52/3.89 skol26, X ) }.
% 3.52/3.89 (7925) {G13,W4,D2,L1,V1,M1} R(7877,484) { coll( skol26, skol26, X ) }.
% 3.52/3.89 (7984) {G14,W4,D2,L1,V2,M1} R(7925,2);r(7925) { coll( Y, X, skol26 ) }.
% 3.52/3.89 (8009) {G15,W4,D2,L1,V2,M1} R(7984,165) { coll( X, skol26, Y ) }.
% 3.52/3.89 (8022) {G16,W4,D2,L1,V3,M1} R(8009,2);r(8009) { coll( Z, Y, X ) }.
% 3.52/3.89 (8082) {G11,W5,D2,L1,V1,M1} R(7876,138) { para( skol25, skol25, X, X ) }.
% 3.52/3.89 (8102) {G12,W5,D2,L1,V1,M1} R(8082,4) { para( X, X, skol25, skol25 ) }.
% 3.52/3.89 (8106) {G13,W9,D2,L1,V3,M1} R(8102,39) { eqangle( X, X, Y, Z, skol25,
% 3.52/3.89 skol25, Y, Z ) }.
% 3.52/3.89 (8136) {G5,W7,D3,L1,V0,M1} R(7070,7) { perp( skol25, skol24, skol12( skol25
% 3.52/3.89 , skol24 ), skol25 ) }.
% 3.52/3.89 (8145) {G6,W7,D3,L1,V0,M1} R(8136,6) { perp( skol25, skol24, skol25, skol12
% 3.52/3.89 ( skol25, skol24 ) ) }.
% 3.52/3.89 (8153) {G7,W7,D3,L1,V0,M1} R(8145,7) { perp( skol25, skol12( skol25, skol24
% 3.52/3.89 ), skol25, skol24 ) }.
% 3.52/3.89 (8162) {G8,W7,D3,L1,V0,M1} R(8153,6) { perp( skol25, skol12( skol25, skol24
% 3.52/3.89 ), skol24, skol25 ) }.
% 3.52/3.89 (8171) {G9,W7,D3,L1,V0,M1} R(8162,7) { perp( skol24, skol25, skol25, skol12
% 3.52/3.89 ( skol25, skol24 ) ) }.
% 3.52/3.89 (8173) {G17,W8,D3,L1,V2,M1} R(8171,110);r(8022) { perp( skol16( skol24, X,
% 3.52/3.89 Y ), skol24, X, Y ) }.
% 3.52/3.89 (8356) {G18,W8,D3,L1,V2,M1} R(8173,7) { perp( X, Y, skol16( skol24, X, Y )
% 3.52/3.89 , skol24 ) }.
% 3.52/3.89 (8366) {G19,W8,D3,L1,V2,M1} R(8356,6) { perp( X, Y, skol24, skol16( skol24
% 3.52/3.89 , X, Y ) ) }.
% 3.52/3.89 (8386) {G20,W8,D3,L1,V2,M1} R(8366,7) { perp( skol24, skol16( skol24, X, Y
% 3.52/3.89 ), X, Y ) }.
% 3.52/3.89 (8395) {G21,W8,D3,L1,V2,M1} R(8386,6) { perp( skol24, skol16( skol24, X, Y
% 3.52/3.89 ), Y, X ) }.
% 3.52/3.89 (8407) {G22,W8,D3,L1,V2,M1} R(8395,7) { perp( X, Y, skol24, skol16( skol24
% 3.52/3.89 , Y, X ) ) }.
% 3.52/3.89 (8416) {G23,W8,D3,L1,V2,M1} R(8407,6) { perp( X, Y, skol16( skol24, Y, X )
% 3.52/3.89 , skol24 ) }.
% 3.52/3.89 (9369) {G24,W5,D2,L1,V2,M1} R(286,8416) { para( X, Y, X, Y ) }.
% 3.52/3.89 (15109) {G14,W5,D2,L1,V0,M1} R(8106,133);f;r(7163) { cong( skol25, skol25,
% 3.52/3.89 skol25, skol25 ) }.
% 3.52/3.89 (15130) {G15,W5,D2,L1,V0,M1} R(15109,136);r(7163) { perp( skol25, skol25,
% 3.52/3.89 skol25, skol25 ) }.
% 3.52/3.89 (15143) {G16,W10,D2,L2,V2,M2} R(15130,304) { perp( X, Y, skol25, skol25 ),
% 3.52/3.89 ! para( X, Y, skol25, skol25 ) }.
% 3.52/3.89 (15160) {G16,W10,D2,L2,V2,M2} R(15130,277) { ! perp( skol25, skol25, X, Y )
% 3.52/3.89 , para( skol25, skol25, X, Y ) }.
% 3.52/3.89 (16183) {G4,W5,D2,L1,V0,M1} R(559,2436) { cong( skol24, skol25, skol24,
% 3.52/3.89 skol25 ) }.
% 3.52/3.89 (16456) {G5,W9,D2,L1,V0,M1} R(16183,46) { eqangle( skol24, skol25, skol25,
% 3.52/3.89 skol25, skol25, skol25, skol24, skol25 ) }.
% 3.52/3.89 (16861) {G6,W9,D2,L1,V0,M1} R(16456,442) { eqangle( skol25, skol24, skol25
% 3.52/3.89 , skol25, skol25, skol25, skol24, skol25 ) }.
% 3.52/3.89 (16865) {G17,W5,D2,L1,V0,M1} R(16456,71);r(15143) { perp( skol24, skol25,
% 3.52/3.89 skol25, skol25 ) }.
% 3.52/3.89 (16892) {G18,W5,D2,L1,V0,M1} R(16865,264) { perp( skol25, skol25, skol24,
% 3.52/3.89 skol25 ) }.
% 3.52/3.89 (17142) {G7,W9,D2,L1,V0,M1} R(16861,422) { eqangle( skol24, skol25, skol25
% 3.52/3.89 , skol25, skol25, skol25, skol25, skol24 ) }.
% 3.52/3.89 (17144) {G8,W9,D2,L1,V0,M1} R(17142,423) { eqangle( skol25, skol25, skol25
% 3.52/3.89 , skol24, skol25, skol24, skol25, skol25 ) }.
% 3.52/3.89 (17145) {G17,W5,D2,L1,V0,M1} R(17144,71);r(15160) { para( skol25, skol25,
% 3.52/3.89 skol25, skol24 ) }.
% 3.52/3.89 (17178) {G18,W5,D2,L1,V0,M1} R(17145,3) { para( skol25, skol25, skol24,
% 3.52/3.89 skol25 ) }.
% 3.52/3.89 (17238) {G19,W9,D2,L1,V2,M1} R(17178,39) { eqangle( skol25, skol25, X, Y,
% 3.52/3.89 skol24, skol25, X, Y ) }.
% 3.52/3.89 (17387) {G20,W9,D2,L1,V2,M1} R(17238,442) { eqangle( skol25, skol25, skol24
% 3.52/3.89 , skol25, X, Y, X, Y ) }.
% 3.52/3.89 (17393) {G21,W9,D2,L1,V2,M1} R(17387,424) { eqangle( X, Y, Y, X, skol25,
% 3.52/3.89 skol25, skol24, skol25 ) }.
% 3.52/3.89 (17400) {G22,W5,D2,L1,V2,M1} R(17393,73);r(16892) { perp( X, Y, Y, X ) }.
% 3.52/3.89 (17438) {G23,W5,D2,L1,V2,M1} R(17400,265) { perp( X, Y, X, Y ) }.
% 3.52/3.89 (17461) {G24,W4,D2,L1,V2,M1} R(17438,152) { alpha1( X, X, Y ) }.
% 3.52/3.89 (17468) {G25,W8,D3,L1,V2,M1} R(17461,98) { perp( X, skol11( X, X, Y ), Y, X
% 3.52/3.89 ) }.
% 3.52/3.89 (17822) {G26,W8,D3,L1,V0,M1} R(17468,306) { ! para( skol24, skol23, skol22
% 3.52/3.89 , skol11( skol22, skol22, skol20 ) ) }.
% 3.52/3.89 (20216) {G25,W5,D2,L1,V3,M1} S(783);r(8022);r(9369) { cyclic( Z, Y, X, X )
% 3.52/3.89 }.
% 3.52/3.89 (20253) {G26,W5,D2,L1,V3,M1} R(20216,365) { cyclic( X, Y, Z, Y ) }.
% 3.52/3.89 (20255) {G26,W5,D2,L1,V3,M1} R(20216,347) { cyclic( X, Y, Y, Z ) }.
% 3.52/3.89 (20259) {G27,W5,D2,L1,V3,M1} R(20253,390);r(20255) { cyclic( Y, Y, Z, T )
% 3.52/3.89 }.
% 3.52/3.89 (20267) {G28,W5,D2,L1,V4,M1} R(20259,390);r(20259) { cyclic( X, Y, Z, T )
% 3.52/3.89 }.
% 3.52/3.89 (22234) {G29,W5,D2,L1,V2,M1} S(945);r(20267);r(20267) { cong( X, Y, X, Y )
% 3.52/3.89 }.
% 3.52/3.89 (22244) {G30,W5,D2,L1,V3,M1} R(22234,56);r(22234) { perp( X, X, Z, Y ) }.
% 3.52/3.89 (22277) {G31,W5,D2,L1,V4,M1} R(22244,275);r(22244) { para( X, Y, Z, T ) }.
% 3.52/3.89 (22288) {G32,W0,D0,L0,V0,M0} R(22277,17822) { }.
% 3.52/3.89
% 3.52/3.89
% 3.52/3.89 % SZS output end Refutation
% 3.52/3.89 found a proof!
% 3.52/3.89
% 3.52/3.89
% 3.52/3.89 Unprocessed initial clauses:
% 3.52/3.89
% 3.52/3.89 (22290) {G0,W8,D2,L2,V3,M2} { ! coll( X, Y, Z ), coll( X, Z, Y ) }.
% 3.52/3.89 (22291) {G0,W8,D2,L2,V3,M2} { ! coll( X, Y, Z ), coll( Y, X, Z ) }.
% 3.52/3.89 (22292) {G0,W12,D2,L3,V4,M3} { ! coll( X, T, Y ), ! coll( X, T, Z ), coll
% 3.52/3.89 ( Y, Z, X ) }.
% 3.52/3.89 (22293) {G0,W10,D2,L2,V4,M2} { ! para( X, Y, Z, T ), para( X, Y, T, Z )
% 3.52/3.89 }.
% 3.52/3.89 (22294) {G0,W10,D2,L2,V4,M2} { ! para( X, Y, Z, T ), para( Z, T, X, Y )
% 3.52/3.89 }.
% 3.52/3.89 (22295) {G0,W15,D2,L3,V6,M3} { ! para( X, Y, U, W ), ! para( U, W, Z, T )
% 3.52/3.89 , para( X, Y, Z, T ) }.
% 3.52/3.89 (22296) {G0,W10,D2,L2,V4,M2} { ! perp( X, Y, Z, T ), perp( X, Y, T, Z )
% 3.52/3.89 }.
% 3.52/3.89 (22297) {G0,W10,D2,L2,V4,M2} { ! perp( X, Y, Z, T ), perp( Z, T, X, Y )
% 3.52/3.89 }.
% 3.52/3.89 (22298) {G0,W15,D2,L3,V6,M3} { ! perp( X, Y, U, W ), ! perp( U, W, Z, T )
% 3.52/3.89 , para( X, Y, Z, T ) }.
% 3.52/3.89 (22299) {G0,W15,D2,L3,V6,M3} { ! para( X, Y, U, W ), ! perp( U, W, Z, T )
% 3.52/3.89 , perp( X, Y, Z, T ) }.
% 3.52/3.89 (22300) {G0,W8,D2,L2,V3,M2} { ! midp( Z, Y, X ), midp( Z, X, Y ) }.
% 3.52/3.89 (22301) {G0,W15,D2,L3,V4,M3} { ! cong( T, X, T, Y ), ! cong( T, X, T, Z )
% 3.52/3.89 , circle( T, X, Y, Z ) }.
% 3.52/3.89 (22302) {G0,W20,D2,L4,V5,M4} { ! cong( U, X, U, Y ), ! cong( U, X, U, Z )
% 3.52/3.89 , ! cong( U, X, U, T ), cyclic( X, Y, Z, T ) }.
% 3.52/3.89 (22303) {G0,W10,D2,L2,V4,M2} { ! cyclic( X, Y, Z, T ), cyclic( X, Y, T, Z
% 3.52/3.89 ) }.
% 3.52/3.89 (22304) {G0,W10,D2,L2,V4,M2} { ! cyclic( X, Y, Z, T ), cyclic( X, Z, Y, T
% 3.52/3.89 ) }.
% 3.52/3.89 (22305) {G0,W10,D2,L2,V4,M2} { ! cyclic( X, Y, Z, T ), cyclic( Y, X, Z, T
% 3.52/3.89 ) }.
% 3.52/3.89 (22306) {G0,W15,D2,L3,V5,M3} { ! cyclic( U, X, Y, Z ), ! cyclic( U, X, Y,
% 3.52/3.89 T ), cyclic( X, Y, Z, T ) }.
% 3.52/3.89 (22307) {G0,W18,D2,L2,V8,M2} { ! eqangle( X, Y, Z, T, U, W, V0, V1 ),
% 3.52/3.89 eqangle( Y, X, Z, T, U, W, V0, V1 ) }.
% 3.52/3.89 (22308) {G0,W18,D2,L2,V8,M2} { ! eqangle( X, Y, Z, T, U, W, V0, V1 ),
% 3.52/3.89 eqangle( Z, T, X, Y, V0, V1, U, W ) }.
% 3.52/3.89 (22309) {G0,W18,D2,L2,V8,M2} { ! eqangle( X, Y, Z, T, U, W, V0, V1 ),
% 3.52/3.89 eqangle( U, W, V0, V1, X, Y, Z, T ) }.
% 3.52/3.89 (22310) {G0,W18,D2,L2,V8,M2} { ! eqangle( X, Y, Z, T, U, W, V0, V1 ),
% 3.52/3.89 eqangle( X, Y, U, W, Z, T, V0, V1 ) }.
% 3.52/3.89 (22311) {G0,W27,D2,L3,V12,M3} { ! eqangle( X, Y, Z, T, V2, V3, V4, V5 ), !
% 3.52/3.89 eqangle( V2, V3, V4, V5, U, W, V0, V1 ), eqangle( X, Y, Z, T, U, W, V0,
% 3.52/3.89 V1 ) }.
% 3.52/3.89 (22312) {G0,W10,D2,L2,V4,M2} { ! cong( X, Y, Z, T ), cong( X, Y, T, Z )
% 3.52/3.89 }.
% 3.52/3.89 (22313) {G0,W10,D2,L2,V4,M2} { ! cong( X, Y, Z, T ), cong( Z, T, X, Y )
% 3.52/3.89 }.
% 3.52/3.89 (22314) {G0,W15,D2,L3,V6,M3} { ! cong( X, Y, U, W ), ! cong( U, W, Z, T )
% 3.52/3.89 , cong( X, Y, Z, T ) }.
% 3.52/3.89 (22315) {G0,W18,D2,L2,V8,M2} { ! eqratio( X, Y, Z, T, U, W, V0, V1 ),
% 3.52/3.89 eqratio( Y, X, Z, T, U, W, V0, V1 ) }.
% 3.52/3.89 (22316) {G0,W18,D2,L2,V8,M2} { ! eqratio( X, Y, Z, T, U, W, V0, V1 ),
% 3.52/3.89 eqratio( Z, T, X, Y, V0, V1, U, W ) }.
% 3.52/3.89 (22317) {G0,W18,D2,L2,V8,M2} { ! eqratio( X, Y, Z, T, U, W, V0, V1 ),
% 3.52/3.89 eqratio( U, W, V0, V1, X, Y, Z, T ) }.
% 3.52/3.89 (22318) {G0,W18,D2,L2,V8,M2} { ! eqratio( X, Y, Z, T, U, W, V0, V1 ),
% 3.52/3.89 eqratio( X, Y, U, W, Z, T, V0, V1 ) }.
% 3.52/3.89 (22319) {G0,W27,D2,L3,V12,M3} { ! eqratio( X, Y, Z, T, V2, V3, V4, V5 ), !
% 3.52/3.89 eqratio( V2, V3, V4, V5, U, W, V0, V1 ), eqratio( X, Y, Z, T, U, W, V0,
% 3.52/3.89 V1 ) }.
% 3.52/3.89 (22320) {G0,W14,D2,L2,V6,M2} { ! simtri( X, Z, Y, T, W, U ), simtri( X, Y
% 3.52/3.89 , Z, T, U, W ) }.
% 3.52/3.89 (22321) {G0,W14,D2,L2,V6,M2} { ! simtri( Y, X, Z, U, T, W ), simtri( X, Y
% 3.52/3.89 , Z, T, U, W ) }.
% 3.52/3.89 (22322) {G0,W14,D2,L2,V6,M2} { ! simtri( T, U, W, X, Y, Z ), simtri( X, Y
% 3.52/3.89 , Z, T, U, W ) }.
% 3.52/3.89 (22323) {G0,W21,D2,L3,V9,M3} { ! simtri( X, Y, Z, V0, V1, V2 ), ! simtri(
% 3.52/3.89 V0, V1, V2, T, U, W ), simtri( X, Y, Z, T, U, W ) }.
% 3.52/3.89 (22324) {G0,W14,D2,L2,V6,M2} { ! contri( X, Z, Y, T, W, U ), contri( X, Y
% 3.52/3.89 , Z, T, U, W ) }.
% 3.52/3.89 (22325) {G0,W14,D2,L2,V6,M2} { ! contri( Y, X, Z, U, T, W ), contri( X, Y
% 3.52/3.89 , Z, T, U, W ) }.
% 3.52/3.89 (22326) {G0,W14,D2,L2,V6,M2} { ! contri( T, U, W, X, Y, Z ), contri( X, Y
% 3.52/3.89 , Z, T, U, W ) }.
% 3.52/3.89 (22327) {G0,W21,D2,L3,V9,M3} { ! contri( X, Y, Z, V0, V1, V2 ), ! contri(
% 3.52/3.89 V0, V1, V2, T, U, W ), contri( X, Y, Z, T, U, W ) }.
% 3.52/3.89 (22328) {G0,W14,D2,L2,V6,M2} { ! eqangle( X, Y, U, W, Z, T, U, W ), para(
% 3.52/3.89 X, Y, Z, T ) }.
% 3.52/3.89 (22329) {G0,W14,D2,L2,V6,M2} { ! para( X, Y, Z, T ), eqangle( X, Y, U, W,
% 3.52/3.89 Z, T, U, W ) }.
% 3.52/3.89 (22330) {G0,W14,D2,L2,V4,M2} { ! cyclic( X, Y, Z, T ), eqangle( Z, X, Z, Y
% 3.52/3.89 , T, X, T, Y ) }.
% 3.52/3.89 (22331) {G0,W18,D2,L3,V4,M3} { ! eqangle( Z, X, Z, Y, T, X, T, Y ), coll(
% 3.52/3.89 Z, T, X ), cyclic( X, Y, Z, T ) }.
% 3.52/3.89 (22332) {G0,W18,D2,L3,V4,M3} { ! eqangle( Z, X, Z, Y, T, X, T, Y ), ! coll
% 3.52/3.89 ( Z, T, Y ), cyclic( X, Y, Z, T ) }.
% 3.52/3.89 (22333) {G0,W29,D2,L5,V6,M5} { ! cyclic( X, Y, U, Z ), ! cyclic( X, Y, U,
% 3.52/3.89 T ), ! cyclic( X, Y, U, W ), ! eqangle( U, X, U, Y, W, Z, W, T ), cong( X
% 3.52/3.89 , Y, Z, T ) }.
% 3.52/3.89 (22334) {G0,W13,D2,L3,V5,M3} { ! midp( Z, U, X ), ! midp( T, U, Y ), para
% 3.52/3.89 ( Z, T, X, Y ) }.
% 3.52/3.89 (22335) {G0,W17,D2,L4,V5,M4} { ! midp( U, X, T ), ! para( U, Z, T, Y ), !
% 3.52/3.89 coll( Z, X, Y ), midp( Z, X, Y ) }.
% 3.52/3.89 (22336) {G0,W14,D2,L2,V3,M2} { ! cong( Z, X, Z, Y ), eqangle( Z, X, X, Y,
% 3.52/3.89 X, Y, Z, Y ) }.
% 3.52/3.89 (22337) {G0,W18,D2,L3,V3,M3} { ! eqangle( Z, X, X, Y, X, Y, Z, Y ), coll(
% 3.52/3.89 Z, X, Y ), cong( Z, X, Z, Y ) }.
% 3.52/3.89 (22338) {G0,W19,D2,L3,V5,M3} { ! circle( U, X, Y, Z ), ! perp( U, X, X, T
% 3.52/3.89 ), eqangle( X, T, X, Y, Z, X, Z, Y ) }.
% 3.52/3.89 (22339) {G0,W19,D2,L3,V5,M3} { ! circle( Y, X, T, U ), ! eqangle( X, Z, X
% 3.52/3.89 , T, U, X, U, T ), perp( Y, X, X, Z ) }.
% 3.52/3.89 (22340) {G0,W18,D2,L3,V5,M3} { ! circle( T, X, Y, Z ), ! midp( U, Y, Z ),
% 3.52/3.89 eqangle( X, Y, X, Z, T, Y, T, U ) }.
% 3.52/3.89 (22341) {G0,W22,D2,L4,V5,M4} { ! circle( U, T, X, Y ), ! coll( Z, X, Y ),
% 3.52/3.89 ! eqangle( T, X, T, Y, U, X, U, Z ), midp( Z, X, Y ) }.
% 3.52/3.89 (22342) {G0,W14,D2,L3,V4,M3} { ! perp( X, Y, Y, T ), ! midp( Z, X, T ),
% 3.52/3.89 cong( X, Z, Y, Z ) }.
% 3.52/3.89 (22343) {G0,W14,D2,L3,V4,M3} { ! circle( T, X, Y, Z ), ! coll( T, X, Z ),
% 3.52/3.89 perp( X, Y, Y, Z ) }.
% 3.52/3.89 (22344) {G0,W19,D2,L3,V4,M3} { ! cyclic( X, Y, Z, T ), ! para( X, Y, Z, T
% 3.52/3.89 ), eqangle( X, T, Z, T, Z, T, Z, Y ) }.
% 3.52/3.89 (22345) {G0,W14,D2,L3,V4,M3} { ! midp( T, X, Y ), ! perp( Z, T, X, Y ),
% 3.52/3.89 cong( Z, X, Z, Y ) }.
% 3.52/3.89 (22346) {G0,W15,D2,L3,V4,M3} { ! cong( X, Z, Y, Z ), ! cong( X, T, Y, T )
% 3.52/3.89 , perp( X, Y, Z, T ) }.
% 3.52/3.89 (22347) {G0,W20,D2,L4,V4,M4} { ! cong( X, Y, T, Y ), ! cong( X, Z, T, Z )
% 3.52/3.89 , ! cyclic( X, T, Y, Z ), perp( Y, X, X, Z ) }.
% 3.52/3.89 (22348) {G0,W29,D2,L4,V6,M4} { ! eqangle( X, Y, Y, Z, T, U, U, W ), !
% 3.52/3.89 eqangle( X, Z, Y, Z, T, W, U, W ), coll( X, Y, Z ), simtri( X, Y, Z, T, U
% 3.52/3.89 , W ) }.
% 3.52/3.89 (22349) {G0,W16,D2,L2,V6,M2} { ! simtri( X, Y, Z, T, U, W ), eqratio( X, Y
% 3.52/3.89 , X, Z, T, U, T, W ) }.
% 3.52/3.89 (22350) {G0,W16,D2,L2,V6,M2} { ! simtri( X, Y, Z, T, U, W ), eqangle( X, Y
% 3.52/3.89 , Y, Z, T, U, U, W ) }.
% 3.52/3.89 (22351) {G0,W19,D2,L3,V6,M3} { ! simtri( X, Y, Z, T, U, W ), ! cong( X, Y
% 3.52/3.89 , T, U ), contri( X, Y, Z, T, U, W ) }.
% 3.52/3.89 (22352) {G0,W12,D2,L2,V6,M2} { ! contri( X, Y, U, Z, T, W ), cong( X, Y, Z
% 3.52/3.89 , T ) }.
% 3.52/3.89 (22353) {G0,W13,D2,L3,V5,M3} { ! midp( U, X, Y ), ! midp( U, Z, T ), para
% 3.52/3.89 ( X, Z, Y, T ) }.
% 3.52/3.89 (22354) {G0,W18,D2,L4,V5,M4} { ! midp( Z, T, U ), ! para( T, X, U, Y ), !
% 3.52/3.89 para( T, Y, U, X ), midp( Z, X, Y ) }.
% 3.52/3.89 (22355) {G0,W22,D2,L4,V5,M4} { ! para( X, Y, Z, T ), ! coll( U, X, Z ), !
% 3.52/3.89 coll( U, Y, T ), eqratio( U, X, X, Z, U, Y, Y, T ) }.
% 3.52/3.89 (22356) {G0,W9,D2,L2,V3,M2} { ! para( X, Y, X, Z ), coll( X, Y, Z ) }.
% 3.52/3.89 (22357) {G0,W13,D2,L3,V3,M3} { ! cong( X, Y, X, Z ), ! coll( X, Y, Z ),
% 3.52/3.89 midp( X, Y, Z ) }.
% 3.52/3.89 (22358) {G0,W9,D2,L2,V3,M2} { ! midp( X, Y, Z ), cong( X, Y, X, Z ) }.
% 3.52/3.89 (22359) {G0,W8,D2,L2,V3,M2} { ! midp( X, Y, Z ), coll( X, Y, Z ) }.
% 3.52/3.89 (22360) {G0,W17,D2,L3,V6,M3} { ! midp( U, X, Y ), ! midp( W, Z, T ),
% 3.52/3.89 eqratio( U, X, X, Y, W, Z, Z, T ) }.
% 3.52/3.89 (22361) {G0,W19,D2,L3,V4,M3} { ! eqangle( X, Y, Z, T, Z, T, X, Y ), para(
% 3.52/3.89 X, Y, Z, T ), perp( X, Y, Z, T ) }.
% 3.52/3.89 (22362) {G0,W19,D2,L3,V4,M3} { ! eqangle( X, Y, Z, T, Z, T, X, Y ), perp(
% 3.52/3.89 X, Y, Z, T ), para( X, Y, Z, T ) }.
% 3.52/3.89 (22363) {G0,W19,D2,L3,V8,M3} { ! eqangle( X, Y, Z, T, U, W, V0, V1 ), !
% 3.52/3.89 para( U, W, V0, V1 ), para( X, Y, Z, T ) }.
% 3.52/3.89 (22364) {G0,W19,D2,L3,V8,M3} { ! eqangle( X, Y, Z, T, U, W, V0, V1 ), !
% 3.52/3.89 perp( U, W, V0, V1 ), perp( X, Y, Z, T ) }.
% 3.52/3.89 (22365) {G0,W19,D2,L3,V8,M3} { ! eqratio( X, Y, Z, T, U, W, V0, V1 ), !
% 3.52/3.89 cong( U, W, V0, V1 ), cong( X, Y, Z, T ) }.
% 3.52/3.89 (22366) {G0,W22,D3,L3,V6,M3} { ! perp( Z, Y, Y, X ), ! eqangle( T, Z, Y, Z
% 3.52/3.89 , Y, Z, X, Z ), coll( skol1( U, W, Z, T ), Z, T ) }.
% 3.52/3.89 (22367) {G0,W22,D3,L3,V4,M3} { ! perp( Z, Y, Y, X ), ! eqangle( T, Z, Y, Z
% 3.52/3.89 , Y, Z, X, Z ), coll( skol1( X, Y, Z, T ), X, Y ) }.
% 3.52/3.89 (22368) {G0,W22,D3,L3,V6,M3} { ! cong( Z, X, Z, Y ), ! eqangle( X, Z, Z, T
% 3.52/3.89 , Z, T, Z, Y ), coll( skol2( U, W, Z, T ), Z, T ) }.
% 3.52/3.89 (22369) {G0,W22,D3,L3,V4,M3} { ! cong( Z, X, Z, Y ), ! eqangle( X, Z, Z, T
% 3.52/3.89 , Z, T, Z, Y ), coll( Y, X, skol2( X, Y, Z, T ) ) }.
% 3.52/3.89 (22370) {G0,W22,D3,L3,V6,M3} { ! perp( Z, T, X, Y ), ! eqangle( X, Z, Z, T
% 3.52/3.89 , Z, T, Z, Y ), coll( skol3( U, W, Z, T ), Z, T ) }.
% 3.52/3.89 (22371) {G0,W22,D3,L3,V4,M3} { ! perp( Z, T, X, Y ), ! eqangle( X, Z, Z, T
% 3.52/3.89 , Z, T, Z, Y ), coll( Y, X, skol3( X, Y, Z, T ) ) }.
% 3.52/3.89 (22372) {G0,W18,D3,L3,V6,M3} { ! perp( Z, T, X, Y ), ! cong( Z, X, Z, Y )
% 3.52/3.89 , coll( skol4( U, W, Z, T ), Z, T ) }.
% 3.52/3.89 (22373) {G0,W18,D3,L3,V4,M3} { ! perp( Z, T, X, Y ), ! cong( Z, X, Z, Y )
% 3.52/3.89 , coll( Y, X, skol4( X, Y, Z, T ) ) }.
% 3.52/3.89 (22374) {G0,W22,D3,L3,V6,M3} { ! eqangle( X, Z, Y, Z, X, T, Y, U ), coll(
% 3.52/3.89 X, Y, Z ), cyclic( T, Y, Z, skol5( W, Y, Z, T ) ) }.
% 3.52/3.89 (22375) {G0,W30,D3,L3,V5,M3} { ! eqangle( X, Z, Y, Z, X, T, Y, U ), coll(
% 3.52/3.89 X, Y, Z ), eqangle( X, Z, Y, Z, X, skol5( X, Y, Z, T ), Y, skol5( X, Y, Z
% 3.52/3.89 , T ) ) }.
% 3.52/3.89 (22376) {G0,W18,D3,L3,V10,M3} { ! midp( U, X, Y ), ! midp( W, Z, T ), midp
% 3.52/3.89 ( skol6( X, V0, V1, T, V2, V3 ), X, T ) }.
% 3.52/3.89 (22377) {G0,W19,D3,L3,V8,M3} { ! midp( U, X, Y ), ! midp( W, Z, T ), para
% 3.52/3.89 ( skol6( X, V0, Z, T, V1, W ), W, X, Z ) }.
% 3.52/3.89 (22378) {G0,W19,D3,L3,V6,M3} { ! midp( U, X, Y ), ! midp( W, Z, T ), para
% 3.52/3.89 ( skol6( X, Y, Z, T, U, W ), U, Y, T ) }.
% 3.52/3.89 (22379) {G0,W22,D3,L5,V7,M5} { ! midp( Z, X, Y ), ! midp( W, T, U ), !
% 3.52/3.89 coll( T, X, Y ), ! coll( U, X, Y ), midp( skol7( X, V0 ), X, V0 ) }.
% 3.52/3.89 (22380) {G0,W26,D3,L5,V8,M5} { ! midp( T, X, U ), ! para( X, W, Z, T ), !
% 3.52/3.89 para( X, W, U, Y ), ! coll( W, Y, Z ), coll( skol8( V0, V1, Z, T ), T, Z
% 3.52/3.89 ) }.
% 3.52/3.89 (22381) {G0,W26,D3,L5,V6,M5} { ! midp( T, X, U ), ! para( X, W, Z, T ), !
% 3.52/3.89 para( X, W, U, Y ), ! coll( W, Y, Z ), coll( skol8( X, Y, Z, T ), X, Y )
% 3.52/3.89 }.
% 3.52/3.89 (22382) {G0,W19,D3,L3,V7,M3} { ! cong( T, Z, T, U ), ! perp( X, Y, Y, T )
% 3.52/3.89 , cong( T, Z, T, skol9( W, V0, Z, T ) ) }.
% 3.52/3.89 (22383) {G0,W19,D3,L3,V6,M3} { ! cong( T, Z, T, U ), ! perp( X, Y, Y, T )
% 3.52/3.89 , cong( Y, Z, Y, skol9( W, Y, Z, T ) ) }.
% 3.52/3.89 (22384) {G0,W19,D3,L3,V5,M3} { ! cong( T, Z, T, U ), ! perp( X, Y, Y, T )
% 3.52/3.89 , para( skol9( X, Y, Z, T ), Z, X, Y ) }.
% 3.52/3.89 (22385) {G0,W17,D3,L3,V5,M3} { ! perp( X, T, Y, Z ), ! perp( Y, T, X, Z )
% 3.52/3.89 , coll( skol10( U, Y, Z ), Z, Y ) }.
% 3.52/3.89 (22386) {G0,W18,D3,L3,V4,M3} { ! perp( X, T, Y, Z ), ! perp( Y, T, X, Z )
% 3.52/3.89 , perp( X, skol10( X, Y, Z ), Z, Y ) }.
% 3.52/3.89 (22387) {G0,W14,D2,L3,V4,M3} { ! perp( X, T, Y, Z ), ! perp( Y, T, X, Z )
% 3.52/3.89 , alpha1( X, Y, Z ) }.
% 3.52/3.89 (22388) {G0,W11,D3,L2,V4,M2} { ! alpha1( X, Y, Z ), coll( skol11( X, T, Z
% 3.52/3.89 ), Z, X ) }.
% 3.52/3.89 (22389) {G0,W12,D3,L2,V3,M2} { ! alpha1( X, Y, Z ), perp( Y, skol11( X, Y
% 3.52/3.89 , Z ), Z, X ) }.
% 3.52/3.89 (22390) {G0,W13,D2,L3,V4,M3} { ! coll( T, Z, X ), ! perp( Y, T, Z, X ),
% 3.52/3.89 alpha1( X, Y, Z ) }.
% 3.52/3.89 (22391) {G0,W12,D3,L2,V4,M2} { ! circle( Y, X, Z, T ), perp( skol12( X, Y
% 3.52/3.89 ), X, X, Y ) }.
% 3.52/3.89 (22392) {G0,W28,D3,L5,V8,M5} { ! circle( W, X, Y, Z ), ! cong( W, X, W, T
% 3.52/3.89 ), ! cong( U, X, U, Y ), W = U, alpha2( X, Z, U, skol13( X, V0, Z, V1, U
% 3.52/3.89 ) ) }.
% 3.52/3.89 (22393) {G0,W26,D3,L5,V8,M5} { ! circle( W, X, Y, Z ), ! cong( W, X, W, T
% 3.52/3.89 ), ! cong( U, X, U, Y ), W = U, coll( skol21( V0, Y, T, V1 ), Y, T ) }.
% 3.52/3.89 (22394) {G0,W27,D3,L5,V6,M5} { ! circle( W, X, Y, Z ), ! cong( W, X, W, T
% 3.52/3.89 ), ! cong( U, X, U, Y ), W = U, cong( skol21( X, Y, T, U ), U, U, X )
% 3.52/3.89 }.
% 3.52/3.89 (22395) {G0,W9,D2,L2,V4,M2} { ! alpha2( X, Y, Z, T ), coll( T, X, Y ) }.
% 3.52/3.89 (22396) {G0,W10,D2,L2,V4,M2} { ! alpha2( X, Y, Z, T ), cong( T, Z, Z, X )
% 3.52/3.89 }.
% 3.52/3.89 (22397) {G0,W14,D2,L3,V4,M3} { ! coll( T, X, Y ), ! cong( T, Z, Z, X ),
% 3.52/3.89 alpha2( X, Y, Z, T ) }.
% 3.52/3.89 (22398) {G0,W22,D3,L4,V5,M4} { ! cyclic( X, Y, Z, T ), ! para( X, Y, Z, T
% 3.52/3.89 ), ! midp( U, X, Y ), circle( skol14( X, Y, Z ), X, Y, Z ) }.
% 3.52/3.89 (22399) {G0,W18,D3,L3,V4,M3} { ! perp( X, Z, Z, Y ), ! cyclic( X, Y, Z, T
% 3.52/3.89 ), circle( skol15( X, Y, Z ), X, Y, Z ) }.
% 3.52/3.89 (22400) {G0,W16,D3,L3,V6,M3} { ! perp( X, U, U, T ), ! coll( T, Y, Z ),
% 3.52/3.89 coll( skol16( W, Y, Z ), Y, Z ) }.
% 3.52/3.89 (22401) {G0,W17,D3,L3,V5,M3} { ! perp( X, U, U, T ), ! coll( T, Y, Z ),
% 3.52/3.89 perp( skol16( X, Y, Z ), X, Y, Z ) }.
% 3.52/3.89 (22402) {G0,W20,D3,L4,V5,M4} { ! perp( X, Z, X, Y ), ! perp( Y, X, Y, T )
% 3.52/3.89 , ! midp( U, Z, T ), midp( skol17( X, Y ), X, Y ) }.
% 3.52/3.89 (22403) {G0,W16,D3,L3,V3,M3} { ! cong( Y, X, Y, Z ), ! perp( X, Y, Y, Z )
% 3.52/3.89 , coll( X, Y, skol18( X, Y ) ) }.
% 3.52/3.89 (22404) {G0,W17,D3,L3,V3,M3} { ! cong( Y, X, Y, Z ), ! perp( X, Y, Y, Z )
% 3.52/3.89 , cong( Y, X, Y, skol18( X, Y ) ) }.
% 3.52/3.89 (22405) {G0,W25,D3,L5,V8,M5} { ! para( U, W, X, Y ), ! coll( Z, U, X ), !
% 3.52/3.89 coll( Z, W, Y ), ! coll( T, U, W ), coll( Z, T, skol19( V0, V1, Z, T ) )
% 3.52/3.89 }.
% 3.52/3.89 (22406) {G0,W25,D3,L5,V6,M5} { ! para( U, W, X, Y ), ! coll( Z, U, X ), !
% 3.52/3.89 coll( Z, W, Y ), ! coll( T, U, W ), coll( skol19( X, Y, Z, T ), X, Y )
% 3.52/3.89 }.
% 3.52/3.89 (22407) {G0,W5,D2,L1,V0,M1} { circle( skol27, skol25, skol26, skol20 ) }.
% 3.52/3.89 (22408) {G0,W5,D2,L1,V0,M1} { perp( skol25, skol20, skol26, skol22 ) }.
% 3.52/3.89 (22409) {G0,W5,D2,L1,V0,M1} { circle( skol27, skol25, skol22, skol28 ) }.
% 3.52/3.89 (22410) {G0,W4,D2,L1,V0,M1} { coll( skol23, skol25, skol20 ) }.
% 3.52/3.89 (22411) {G0,W4,D2,L1,V0,M1} { coll( skol23, skol26, skol22 ) }.
% 3.52/3.89 (22412) {G0,W4,D2,L1,V0,M1} { midp( skol24, skol26, skol25 ) }.
% 3.52/3.89 (22413) {G0,W5,D2,L1,V0,M1} { ! perp( skol24, skol23, skol20, skol22 ) }.
% 3.52/3.89
% 3.52/3.89
% 3.52/3.89 Total Proof:
% 3.52/3.89
% 3.52/3.89 subsumption: (0) {G0,W8,D2,L2,V3,M2} I { ! coll( X, Y, Z ), coll( X, Z, Y )
% 3.52/3.89 }.
% 3.52/3.89 parent0: (22290) {G0,W8,D2,L2,V3,M2} { ! coll( X, Y, Z ), coll( X, Z, Y )
% 3.52/3.89 }.
% 3.52/3.89 substitution0:
% 3.52/3.89 X := X
% 3.52/3.89 Y := Y
% 3.52/3.89 Z := Z
% 3.52/3.89 end
% 3.52/3.89 permutation0:
% 3.52/3.89 0 ==> 0
% 3.52/3.89 1 ==> 1
% 3.52/3.89 end
% 3.52/3.89
% 3.52/3.89 subsumption: (1) {G0,W8,D2,L2,V3,M2} I { ! coll( X, Y, Z ), coll( Y, X, Z )
% 3.52/3.89 }.
% 3.52/3.89 parent0: (22291) {G0,W8,D2,L2,V3,M2} { ! coll( X, Y, Z ), coll( Y, X, Z )
% 3.52/3.89 }.
% 3.52/3.89 substitution0:
% 3.52/3.89 X := X
% 3.52/3.89 Y := Y
% 3.52/3.89 Z := Z
% 3.52/3.89 end
% 3.52/3.89 permutation0:
% 3.52/3.89 0 ==> 0
% 3.52/3.89 1 ==> 1
% 3.52/3.89 end
% 3.52/3.89
% 3.52/3.89 subsumption: (2) {G0,W12,D2,L3,V4,M3} I { ! coll( X, T, Y ), ! coll( X, T,
% 3.52/3.89 Z ), coll( Y, Z, X ) }.
% 3.52/3.89 parent0: (22292) {G0,W12,D2,L3,V4,M3} { ! coll( X, T, Y ), ! coll( X, T, Z
% 3.52/3.89 ), coll( Y, Z, X ) }.
% 3.52/3.89 substitution0:
% 3.52/3.89 X := X
% 3.52/3.89 Y := Y
% 3.52/3.89 Z := Z
% 3.52/3.89 T := T
% 3.52/3.89 end
% 3.52/3.89 permutation0:
% 3.52/3.89 0 ==> 0
% 3.52/3.89 1 ==> 1
% 3.52/3.89 2 ==> 2
% 3.52/3.89 end
% 3.52/3.89
% 3.52/3.89 subsumption: (3) {G0,W10,D2,L2,V4,M2} I { ! para( X, Y, Z, T ), para( X, Y
% 3.52/3.89 , T, Z ) }.
% 3.52/3.89 parent0: (22293) {G0,W10,D2,L2,V4,M2} { ! para( X, Y, Z, T ), para( X, Y,
% 3.52/3.89 T, Z ) }.
% 3.52/3.89 substitution0:
% 3.52/3.89 X := X
% 3.52/3.89 Y := Y
% 3.52/3.89 Z := Z
% 3.52/3.89 T := T
% 3.52/3.89 end
% 3.52/3.89 permutation0:
% 3.52/3.89 0 ==> 0
% 3.52/3.89 1 ==> 1
% 3.52/3.89 end
% 3.52/3.89
% 3.52/3.89 subsumption: (4) {G0,W10,D2,L2,V4,M2} I { ! para( X, Y, Z, T ), para( Z, T
% 3.52/3.89 , X, Y ) }.
% 3.52/3.89 parent0: (22294) {G0,W10,D2,L2,V4,M2} { ! para( X, Y, Z, T ), para( Z, T,
% 3.52/3.89 X, Y ) }.
% 3.52/3.89 substitution0:
% 3.52/3.89 X := X
% 3.52/3.89 Y := Y
% 3.52/3.89 Z := Z
% 3.52/3.89 T := T
% 3.52/3.89 end
% 3.52/3.89 permutation0:
% 3.52/3.89 0 ==> 0
% 3.52/3.89 1 ==> 1
% 3.52/3.89 end
% 3.52/3.89
% 3.52/3.89 subsumption: (6) {G0,W10,D2,L2,V4,M2} I { ! perp( X, Y, Z, T ), perp( X, Y
% 3.52/3.89 , T, Z ) }.
% 3.52/3.89 parent0: (22296) {G0,W10,D2,L2,V4,M2} { ! perp( X, Y, Z, T ), perp( X, Y,
% 3.52/3.89 T, Z ) }.
% 3.52/3.89 substitution0:
% 3.52/3.89 X := X
% 3.52/3.89 Y := Y
% 3.52/3.89 Z := Z
% 3.52/3.89 T := T
% 3.52/3.89 end
% 3.52/3.89 permutation0:
% 3.52/3.89 0 ==> 0
% 3.52/3.89 1 ==> 1
% 3.52/3.89 end
% 3.52/3.89
% 3.52/3.89 subsumption: (7) {G0,W10,D2,L2,V4,M2} I { ! perp( X, Y, Z, T ), perp( Z, T
% 3.52/3.89 , X, Y ) }.
% 3.52/3.89 parent0: (22297) {G0,W10,D2,L2,V4,M2} { ! perp( X, Y, Z, T ), perp( Z, T,
% 3.52/3.90 X, Y ) }.
% 3.52/3.90 substitution0:
% 3.52/3.90 X := X
% 3.52/3.90 Y := Y
% 3.52/3.90 Z := Z
% 3.52/3.90 T := T
% 3.52/3.90 end
% 3.52/3.90 permutation0:
% 3.52/3.90 0 ==> 0
% 3.52/3.90 1 ==> 1
% 3.52/3.90 end
% 3.52/3.90
% 3.52/3.90 subsumption: (8) {G0,W15,D2,L3,V6,M3} I { ! perp( X, Y, U, W ), ! perp( U,
% 3.52/3.90 W, Z, T ), para( X, Y, Z, T ) }.
% 3.52/3.90 parent0: (22298) {G0,W15,D2,L3,V6,M3} { ! perp( X, Y, U, W ), ! perp( U, W
% 3.52/3.90 , Z, T ), para( X, Y, Z, T ) }.
% 3.52/3.90 substitution0:
% 3.52/3.90 X := X
% 3.52/3.90 Y := Y
% 3.52/3.90 Z := Z
% 3.52/3.90 T := T
% 3.52/3.90 U := U
% 3.52/3.90 W := W
% 3.52/3.90 end
% 3.52/3.90 permutation0:
% 3.52/3.90 0 ==> 0
% 3.52/3.90 1 ==> 1
% 3.52/3.90 2 ==> 2
% 3.52/3.90 end
% 3.52/3.90
% 3.52/3.90 subsumption: (9) {G0,W15,D2,L3,V6,M3} I { ! para( X, Y, U, W ), ! perp( U,
% 3.52/3.90 W, Z, T ), perp( X, Y, Z, T ) }.
% 3.52/3.90 parent0: (22299) {G0,W15,D2,L3,V6,M3} { ! para( X, Y, U, W ), ! perp( U, W
% 3.52/3.90 , Z, T ), perp( X, Y, Z, T ) }.
% 3.52/3.90 substitution0:
% 3.52/3.90 X := X
% 3.52/3.90 Y := Y
% 3.52/3.90 Z := Z
% 3.52/3.90 T := T
% 3.52/3.90 U := U
% 3.52/3.90 W := W
% 3.52/3.90 end
% 3.52/3.90 permutation0:
% 3.52/3.90 0 ==> 0
% 3.52/3.90 1 ==> 1
% 3.52/3.90 2 ==> 2
% 3.52/3.90 end
% 3.52/3.90
% 3.52/3.90 subsumption: (10) {G0,W8,D2,L2,V3,M2} I { ! midp( Z, Y, X ), midp( Z, X, Y
% 3.52/3.90 ) }.
% 3.52/3.90 parent0: (22300) {G0,W8,D2,L2,V3,M2} { ! midp( Z, Y, X ), midp( Z, X, Y )
% 3.52/3.90 }.
% 3.52/3.90 substitution0:
% 3.52/3.90 X := X
% 3.52/3.90 Y := Y
% 3.52/3.90 Z := Z
% 3.52/3.90 end
% 3.52/3.90 permutation0:
% 3.52/3.90 0 ==> 0
% 3.52/3.90 1 ==> 1
% 3.52/3.90 end
% 3.52/3.90
% 3.52/3.90 subsumption: (11) {G0,W15,D2,L3,V4,M3} I { ! cong( T, X, T, Y ), ! cong( T
% 3.52/3.90 , X, T, Z ), circle( T, X, Y, Z ) }.
% 3.52/3.90 parent0: (22301) {G0,W15,D2,L3,V4,M3} { ! cong( T, X, T, Y ), ! cong( T, X
% 3.52/3.90 , T, Z ), circle( T, X, Y, Z ) }.
% 3.52/3.90 substitution0:
% 3.52/3.90 X := X
% 3.52/3.90 Y := Y
% 3.52/3.90 Z := Z
% 3.52/3.90 T := T
% 3.52/3.90 end
% 3.52/3.90 permutation0:
% 3.52/3.90 0 ==> 0
% 3.52/3.90 1 ==> 1
% 3.52/3.90 2 ==> 2
% 3.52/3.90 end
% 3.52/3.90
% 3.52/3.90 subsumption: (12) {G0,W20,D2,L4,V5,M4} I { ! cong( U, X, U, Y ), ! cong( U
% 3.52/3.90 , X, U, Z ), ! cong( U, X, U, T ), cyclic( X, Y, Z, T ) }.
% 3.52/3.90 parent0: (22302) {G0,W20,D2,L4,V5,M4} { ! cong( U, X, U, Y ), ! cong( U, X
% 3.52/3.90 , U, Z ), ! cong( U, X, U, T ), cyclic( X, Y, Z, T ) }.
% 3.52/3.90 substitution0:
% 3.52/3.90 X := X
% 3.52/3.90 Y := Y
% 3.52/3.90 Z := Z
% 3.52/3.90 T := T
% 3.52/3.90 U := U
% 3.52/3.90 end
% 3.52/3.90 permutation0:
% 3.52/3.90 0 ==> 0
% 3.52/3.90 1 ==> 1
% 3.52/3.90 2 ==> 2
% 3.52/3.90 3 ==> 3
% 3.52/3.90 end
% 3.52/3.90
% 3.52/3.90 subsumption: (13) {G0,W10,D2,L2,V4,M2} I { ! cyclic( X, Y, Z, T ), cyclic(
% 3.52/3.90 X, Y, T, Z ) }.
% 3.52/3.90 parent0: (22303) {G0,W10,D2,L2,V4,M2} { ! cyclic( X, Y, Z, T ), cyclic( X
% 3.52/3.90 , Y, T, Z ) }.
% 3.52/3.90 substitution0:
% 3.52/3.90 X := X
% 3.52/3.90 Y := Y
% 3.52/3.90 Z := Z
% 3.52/3.90 T := T
% 3.52/3.90 end
% 3.52/3.90 permutation0:
% 3.52/3.90 0 ==> 0
% 3.52/3.90 1 ==> 1
% 3.52/3.90 end
% 3.52/3.90
% 3.52/3.90 subsumption: (14) {G0,W10,D2,L2,V4,M2} I { ! cyclic( X, Y, Z, T ), cyclic(
% 3.52/3.90 X, Z, Y, T ) }.
% 3.52/3.90 parent0: (22304) {G0,W10,D2,L2,V4,M2} { ! cyclic( X, Y, Z, T ), cyclic( X
% 3.52/3.90 , Z, Y, T ) }.
% 3.52/3.90 substitution0:
% 3.52/3.90 X := X
% 3.52/3.90 Y := Y
% 3.52/3.90 Z := Z
% 3.52/3.90 T := T
% 3.52/3.90 end
% 3.52/3.90 permutation0:
% 3.52/3.90 0 ==> 0
% 3.52/3.90 1 ==> 1
% 3.52/3.90 end
% 3.52/3.90
% 3.52/3.90 subsumption: (15) {G0,W10,D2,L2,V4,M2} I { ! cyclic( X, Y, Z, T ), cyclic(
% 3.52/3.90 Y, X, Z, T ) }.
% 3.52/3.90 parent0: (22305) {G0,W10,D2,L2,V4,M2} { ! cyclic( X, Y, Z, T ), cyclic( Y
% 3.52/3.90 , X, Z, T ) }.
% 3.52/3.90 substitution0:
% 3.52/3.90 X := X
% 3.52/3.90 Y := Y
% 3.52/3.90 Z := Z
% 3.52/3.90 T := T
% 3.52/3.90 end
% 3.52/3.90 permutation0:
% 3.52/3.90 0 ==> 0
% 3.52/3.90 1 ==> 1
% 3.52/3.90 end
% 3.52/3.90
% 3.52/3.90 subsumption: (16) {G0,W15,D2,L3,V5,M3} I { ! cyclic( U, X, Y, Z ), ! cyclic
% 3.52/3.90 ( U, X, Y, T ), cyclic( X, Y, Z, T ) }.
% 3.52/3.90 parent0: (22306) {G0,W15,D2,L3,V5,M3} { ! cyclic( U, X, Y, Z ), ! cyclic(
% 3.52/3.90 U, X, Y, T ), cyclic( X, Y, Z, T ) }.
% 3.52/3.90 substitution0:
% 3.52/3.90 X := X
% 3.52/3.90 Y := Y
% 3.52/3.90 Z := Z
% 3.52/3.90 T := T
% 3.52/3.90 U := U
% 3.52/3.90 end
% 3.52/3.90 permutation0:
% 3.52/3.90 0 ==> 0
% 3.52/3.90 1 ==> 1
% 3.52/3.90 2 ==> 2
% 3.52/3.90 end
% 3.52/3.90
% 3.52/3.90 subsumption: (17) {G0,W18,D2,L2,V8,M2} I { ! eqangle( X, Y, Z, T, U, W, V0
% 3.52/3.90 , V1 ), eqangle( Y, X, Z, T, U, W, V0, V1 ) }.
% 3.52/3.90 parent0: (22307) {G0,W18,D2,L2,V8,M2} { ! eqangle( X, Y, Z, T, U, W, V0,
% 3.52/3.90 V1 ), eqangle( Y, X, Z, T, U, W, V0, V1 ) }.
% 3.52/3.90 substitution0:
% 3.52/3.90 X := X
% 3.52/3.90 Y := Y
% 3.52/3.90 Z := Z
% 3.52/3.90 T := T
% 3.52/3.90 U := U
% 3.52/3.90 W := W
% 3.52/3.90 V0 := V0
% 3.52/3.90 V1 := V1
% 3.52/3.90 end
% 3.52/3.90 permutation0:
% 3.52/3.90 0 ==> 0
% 3.52/3.90 1 ==> 1
% 3.52/3.90 end
% 3.52/3.90
% 3.52/3.90 subsumption: (18) {G0,W18,D2,L2,V8,M2} I { ! eqangle( X, Y, Z, T, U, W, V0
% 3.52/3.90 , V1 ), eqangle( Z, T, X, Y, V0, V1, U, W ) }.
% 3.52/3.90 parent0: (22308) {G0,W18,D2,L2,V8,M2} { ! eqangle( X, Y, Z, T, U, W, V0,
% 3.52/3.90 V1 ), eqangle( Z, T, X, Y, V0, V1, U, W ) }.
% 3.52/3.90 substitution0:
% 3.52/3.90 X := X
% 3.52/3.90 Y := Y
% 3.52/3.90 Z := Z
% 3.52/3.90 T := T
% 3.52/3.90 U := U
% 3.52/3.90 W := W
% 3.52/3.90 V0 := V0
% 3.52/3.90 V1 := V1
% 3.52/3.90 end
% 3.52/3.90 permutation0:
% 3.52/3.90 0 ==> 0
% 3.52/3.90 1 ==> 1
% 3.52/3.90 end
% 3.52/3.90
% 3.52/3.90 subsumption: (19) {G0,W18,D2,L2,V8,M2} I { ! eqangle( X, Y, Z, T, U, W, V0
% 3.52/3.90 , V1 ), eqangle( U, W, V0, V1, X, Y, Z, T ) }.
% 3.52/3.90 parent0: (22309) {G0,W18,D2,L2,V8,M2} { ! eqangle( X, Y, Z, T, U, W, V0,
% 3.52/3.90 V1 ), eqangle( U, W, V0, V1, X, Y, Z, T ) }.
% 3.52/3.90 substitution0:
% 3.52/3.90 X := X
% 3.52/3.90 Y := Y
% 3.52/3.90 Z := Z
% 3.52/3.90 T := T
% 3.52/3.90 U := U
% 3.52/3.90 W := W
% 3.52/3.90 V0 := V0
% 3.52/3.90 V1 := V1
% 3.52/3.90 end
% 3.52/3.90 permutation0:
% 3.52/3.90 0 ==> 0
% 3.52/3.90 1 ==> 1
% 3.52/3.90 end
% 3.52/3.90
% 3.52/3.90 subsumption: (20) {G0,W18,D2,L2,V8,M2} I { ! eqangle( X, Y, Z, T, U, W, V0
% 3.52/3.90 , V1 ), eqangle( X, Y, U, W, Z, T, V0, V1 ) }.
% 3.52/3.90 parent0: (22310) {G0,W18,D2,L2,V8,M2} { ! eqangle( X, Y, Z, T, U, W, V0,
% 3.52/3.90 V1 ), eqangle( X, Y, U, W, Z, T, V0, V1 ) }.
% 3.52/3.90 substitution0:
% 3.52/3.90 X := X
% 3.52/3.90 Y := Y
% 3.52/3.90 Z := Z
% 3.52/3.90 T := T
% 3.52/3.90 U := U
% 3.52/3.90 W := W
% 3.52/3.90 V0 := V0
% 3.52/3.90 V1 := V1
% 3.52/3.90 end
% 3.52/3.90 permutation0:
% 3.52/3.90 0 ==> 0
% 3.52/3.90 1 ==> 1
% 3.52/3.90 end
% 3.52/3.90
% 3.52/3.90 subsumption: (22) {G0,W10,D2,L2,V4,M2} I { ! cong( X, Y, Z, T ), cong( X, Y
% 3.52/3.90 , T, Z ) }.
% 3.52/3.90 parent0: (22312) {G0,W10,D2,L2,V4,M2} { ! cong( X, Y, Z, T ), cong( X, Y,
% 3.52/3.90 T, Z ) }.
% 3.52/3.90 substitution0:
% 3.52/3.90 X := X
% 3.52/3.90 Y := Y
% 3.52/3.90 Z := Z
% 3.52/3.90 T := T
% 3.52/3.90 end
% 3.52/3.90 permutation0:
% 3.52/3.90 0 ==> 0
% 3.52/3.90 1 ==> 1
% 3.52/3.90 end
% 3.52/3.90
% 3.52/3.90 subsumption: (23) {G0,W10,D2,L2,V4,M2} I { ! cong( X, Y, Z, T ), cong( Z, T
% 3.52/3.90 , X, Y ) }.
% 3.52/3.90 parent0: (22313) {G0,W10,D2,L2,V4,M2} { ! cong( X, Y, Z, T ), cong( Z, T,
% 3.52/3.90 X, Y ) }.
% 3.52/3.90 substitution0:
% 3.52/3.90 X := X
% 3.52/3.90 Y := Y
% 3.52/3.90 Z := Z
% 3.52/3.90 T := T
% 3.52/3.90 end
% 3.52/3.90 permutation0:
% 3.52/3.90 0 ==> 0
% 3.52/3.90 1 ==> 1
% 3.52/3.90 end
% 3.52/3.90
% 3.52/3.90 subsumption: (24) {G0,W15,D2,L3,V6,M3} I { ! cong( X, Y, U, W ), ! cong( U
% 3.52/3.90 , W, Z, T ), cong( X, Y, Z, T ) }.
% 3.52/3.90 parent0: (22314) {G0,W15,D2,L3,V6,M3} { ! cong( X, Y, U, W ), ! cong( U, W
% 3.52/3.90 , Z, T ), cong( X, Y, Z, T ) }.
% 3.52/3.90 substitution0:
% 3.52/3.90 X := X
% 3.52/3.90 Y := Y
% 3.52/3.90 Z := Z
% 3.52/3.90 T := T
% 3.52/3.90 U := U
% 3.52/3.90 W := W
% 3.52/3.90 end
% 3.52/3.90 permutation0:
% 3.52/3.90 0 ==> 0
% 3.52/3.90 1 ==> 1
% 3.52/3.90 2 ==> 2
% 3.52/3.90 end
% 3.52/3.90
% 3.52/3.90 subsumption: (39) {G0,W14,D2,L2,V6,M2} I { ! para( X, Y, Z, T ), eqangle( X
% 3.52/3.90 , Y, U, W, Z, T, U, W ) }.
% 3.52/3.90 parent0: (22329) {G0,W14,D2,L2,V6,M2} { ! para( X, Y, Z, T ), eqangle( X,
% 3.52/3.90 Y, U, W, Z, T, U, W ) }.
% 3.52/3.90 substitution0:
% 3.52/3.90 X := X
% 3.52/3.90 Y := Y
% 3.52/3.90 Z := Z
% 3.52/3.90 T := T
% 3.52/3.90 U := U
% 3.52/3.90 W := W
% 3.52/3.90 end
% 3.52/3.90 permutation0:
% 3.52/3.90 0 ==> 0
% 3.52/3.90 1 ==> 1
% 3.52/3.90 end
% 3.52/3.90
% 3.52/3.90 subsumption: (40) {G0,W14,D2,L2,V4,M2} I { ! cyclic( X, Y, Z, T ), eqangle
% 3.52/3.90 ( Z, X, Z, Y, T, X, T, Y ) }.
% 3.52/3.90 parent0: (22330) {G0,W14,D2,L2,V4,M2} { ! cyclic( X, Y, Z, T ), eqangle( Z
% 3.52/3.90 , X, Z, Y, T, X, T, Y ) }.
% 3.52/3.90 substitution0:
% 3.52/3.90 X := X
% 3.52/3.90 Y := Y
% 3.52/3.90 Z := Z
% 3.52/3.90 T := T
% 3.52/3.90 end
% 3.52/3.90 permutation0:
% 3.52/3.90 0 ==> 0
% 3.52/3.90 1 ==> 1
% 3.52/3.90 end
% 3.52/3.90
% 3.52/3.90 subsumption: (42) {G0,W18,D2,L3,V4,M3} I { ! eqangle( Z, X, Z, Y, T, X, T,
% 3.52/3.90 Y ), ! coll( Z, T, Y ), cyclic( X, Y, Z, T ) }.
% 3.52/3.90 parent0: (22332) {G0,W18,D2,L3,V4,M3} { ! eqangle( Z, X, Z, Y, T, X, T, Y
% 3.52/3.90 ), ! coll( Z, T, Y ), cyclic( X, Y, Z, T ) }.
% 3.52/3.90 substitution0:
% 3.52/3.90 X := X
% 3.52/3.90 Y := Y
% 3.52/3.90 Z := Z
% 3.52/3.90 T := T
% 3.52/3.90 end
% 3.52/3.90 permutation0:
% 3.52/3.90 0 ==> 0
% 3.52/3.90 1 ==> 1
% 3.52/3.90 2 ==> 2
% 3.52/3.90 end
% 3.52/3.90
% 3.52/3.90 subsumption: (43) {G0,W29,D2,L5,V6,M5} I { ! cyclic( X, Y, U, Z ), ! cyclic
% 3.52/3.90 ( X, Y, U, T ), ! cyclic( X, Y, U, W ), ! eqangle( U, X, U, Y, W, Z, W, T
% 3.52/3.90 ), cong( X, Y, Z, T ) }.
% 3.52/3.90 parent0: (22333) {G0,W29,D2,L5,V6,M5} { ! cyclic( X, Y, U, Z ), ! cyclic(
% 3.52/3.90 X, Y, U, T ), ! cyclic( X, Y, U, W ), ! eqangle( U, X, U, Y, W, Z, W, T )
% 3.52/3.90 , cong( X, Y, Z, T ) }.
% 3.52/3.90 substitution0:
% 3.52/3.90 X := X
% 3.52/3.90 Y := Y
% 3.52/3.90 Z := Z
% 3.52/3.90 T := T
% 3.52/3.90 U := U
% 3.52/3.90 W := W
% 3.52/3.90 end
% 3.52/3.90 permutation0:
% 3.52/3.90 0 ==> 0
% 3.52/3.90 1 ==> 1
% 3.52/3.90 2 ==> 2
% 3.52/3.90 3 ==> 3
% 3.52/3.90 4 ==> 4
% 3.52/3.90 end
% 3.52/3.90
% 3.52/3.90 subsumption: (46) {G0,W14,D2,L2,V3,M2} I { ! cong( Z, X, Z, Y ), eqangle( Z
% 3.52/3.90 , X, X, Y, X, Y, Z, Y ) }.
% 3.52/3.90 parent0: (22336) {G0,W14,D2,L2,V3,M2} { ! cong( Z, X, Z, Y ), eqangle( Z,
% 3.52/3.90 X, X, Y, X, Y, Z, Y ) }.
% 3.52/3.90 substitution0:
% 3.52/3.90 X := X
% 3.52/3.90 Y := Y
% 3.52/3.90 Z := Z
% 3.52/3.90 end
% 3.52/3.90 permutation0:
% 3.52/3.90 0 ==> 0
% 3.52/3.90 1 ==> 1
% 3.52/3.90 end
% 3.52/3.90
% 3.52/3.90 subsumption: (56) {G0,W15,D2,L3,V4,M3} I { ! cong( X, Z, Y, Z ), ! cong( X
% 3.52/3.90 , T, Y, T ), perp( X, Y, Z, T ) }.
% 3.52/3.90 parent0: (22346) {G0,W15,D2,L3,V4,M3} { ! cong( X, Z, Y, Z ), ! cong( X, T
% 3.52/3.90 , Y, T ), perp( X, Y, Z, T ) }.
% 3.52/3.90 substitution0:
% 3.52/3.90 X := X
% 3.52/3.90 Y := Y
% 3.52/3.90 Z := Z
% 3.52/3.90 T := T
% 3.52/3.90 end
% 3.52/3.90 permutation0:
% 3.52/3.90 0 ==> 0
% 3.52/3.90 1 ==> 1
% 3.52/3.90 2 ==> 2
% 3.52/3.90 end
% 3.52/3.90
% 3.52/3.90 subsumption: (57) {G0,W20,D2,L4,V4,M4} I { ! cong( X, Y, T, Y ), ! cong( X
% 3.52/3.90 , Z, T, Z ), ! cyclic( X, T, Y, Z ), perp( Y, X, X, Z ) }.
% 3.52/3.90 parent0: (22347) {G0,W20,D2,L4,V4,M4} { ! cong( X, Y, T, Y ), ! cong( X, Z
% 3.52/3.90 , T, Z ), ! cyclic( X, T, Y, Z ), perp( Y, X, X, Z ) }.
% 3.52/3.90 substitution0:
% 3.52/3.90 X := X
% 3.52/3.90 Y := Y
% 3.52/3.90 Z := Z
% 3.52/3.90 T := T
% 3.52/3.90 end
% 3.52/3.90 permutation0:
% 3.52/3.90 0 ==> 0
% 3.52/3.90 1 ==> 1
% 3.52/3.90 2 ==> 2
% 3.52/3.90 3 ==> 3
% 3.52/3.90 end
% 3.52/3.90
% 3.52/3.90 subsumption: (63) {G0,W13,D2,L3,V5,M3} I { ! midp( U, X, Y ), ! midp( U, Z
% 3.52/3.90 , T ), para( X, Z, Y, T ) }.
% 3.52/3.90 parent0: (22353) {G0,W13,D2,L3,V5,M3} { ! midp( U, X, Y ), ! midp( U, Z, T
% 3.52/3.90 ), para( X, Z, Y, T ) }.
% 3.52/3.90 substitution0:
% 3.52/3.90 X := X
% 3.52/3.90 Y := Y
% 3.52/3.90 Z := Z
% 3.52/3.90 T := T
% 3.52/3.90 U := U
% 3.52/3.90 end
% 3.52/3.90 permutation0:
% 3.52/3.90 0 ==> 0
% 3.52/3.90 1 ==> 1
% 3.52/3.90 2 ==> 2
% 3.52/3.90 end
% 3.52/3.90
% 3.52/3.90 subsumption: (68) {G0,W9,D2,L2,V3,M2} I { ! midp( X, Y, Z ), cong( X, Y, X
% 3.52/3.90 , Z ) }.
% 3.52/3.90 parent0: (22358) {G0,W9,D2,L2,V3,M2} { ! midp( X, Y, Z ), cong( X, Y, X, Z
% 3.52/3.90 ) }.
% 3.52/3.90 substitution0:
% 3.52/3.90 X := X
% 3.52/3.90 Y := Y
% 3.52/3.90 Z := Z
% 3.52/3.90 end
% 3.52/3.90 permutation0:
% 3.52/3.90 0 ==> 0
% 3.52/3.90 1 ==> 1
% 3.52/3.90 end
% 3.52/3.90
% 3.52/3.90 subsumption: (69) {G0,W8,D2,L2,V3,M2} I { ! midp( X, Y, Z ), coll( X, Y, Z
% 3.52/3.90 ) }.
% 3.52/3.90 parent0: (22359) {G0,W8,D2,L2,V3,M2} { ! midp( X, Y, Z ), coll( X, Y, Z )
% 3.52/3.90 }.
% 3.52/3.90 substitution0:
% 3.52/3.90 X := X
% 3.52/3.90 Y := Y
% 3.52/3.90 Z := Z
% 3.52/3.90 end
% 3.52/3.90 permutation0:
% 3.52/3.90 0 ==> 0
% 3.52/3.90 1 ==> 1
% 3.52/3.90 end
% 3.52/3.90
% 3.52/3.90 subsumption: (71) {G0,W19,D2,L3,V4,M3} I { ! eqangle( X, Y, Z, T, Z, T, X,
% 3.52/3.90 Y ), para( X, Y, Z, T ), perp( X, Y, Z, T ) }.
% 3.52/3.90 parent0: (22361) {G0,W19,D2,L3,V4,M3} { ! eqangle( X, Y, Z, T, Z, T, X, Y
% 3.52/3.90 ), para( X, Y, Z, T ), perp( X, Y, Z, T ) }.
% 3.52/3.90 substitution0:
% 3.52/3.90 X := X
% 3.52/3.90 Y := Y
% 3.52/3.90 Z := Z
% 3.52/3.90 T := T
% 3.52/3.90 end
% 3.52/3.90 permutation0:
% 3.52/3.90 0 ==> 0
% 3.52/3.90 1 ==> 1
% 3.52/3.90 2 ==> 2
% 3.52/3.90 end
% 3.52/3.90
% 3.52/3.90 subsumption: (73) {G0,W19,D2,L3,V8,M3} I { ! eqangle( X, Y, Z, T, U, W, V0
% 3.52/3.90 , V1 ), ! perp( U, W, V0, V1 ), perp( X, Y, Z, T ) }.
% 3.52/3.90 parent0: (22364) {G0,W19,D2,L3,V8,M3} { ! eqangle( X, Y, Z, T, U, W, V0,
% 3.52/3.90 V1 ), ! perp( U, W, V0, V1 ), perp( X, Y, Z, T ) }.
% 3.52/3.90 substitution0:
% 3.52/3.90 X := X
% 3.52/3.90 Y := Y
% 3.52/3.90 Z := Z
% 3.52/3.90 T := T
% 3.52/3.90 U := U
% 3.52/3.90 W := W
% 3.52/3.90 V0 := V0
% 3.52/3.90 V1 := V1
% 3.52/3.90 end
% 3.52/3.90 permutation0:
% 3.52/3.90 0 ==> 0
% 3.52/3.90 1 ==> 1
% 3.52/3.90 2 ==> 2
% 3.52/3.90 end
% 3.52/3.90
% 3.52/3.90 subsumption: (88) {G0,W22,D3,L5,V7,M5} I { ! midp( Z, X, Y ), ! midp( W, T
% 3.52/3.90 , U ), ! coll( T, X, Y ), ! coll( U, X, Y ), midp( skol7( X, V0 ), X, V0
% 3.52/3.90 ) }.
% 3.52/3.90 parent0: (22379) {G0,W22,D3,L5,V7,M5} { ! midp( Z, X, Y ), ! midp( W, T, U
% 3.52/3.90 ), ! coll( T, X, Y ), ! coll( U, X, Y ), midp( skol7( X, V0 ), X, V0 )
% 3.52/3.90 }.
% 3.52/3.90 substitution0:
% 3.52/3.90 X := X
% 3.52/3.90 Y := Y
% 3.52/3.90 Z := Z
% 3.52/3.90 T := T
% 3.52/3.90 U := U
% 3.52/3.90 W := W
% 3.52/3.90 V0 := V0
% 3.52/3.90 end
% 3.52/3.90 permutation0:
% 3.52/3.90 0 ==> 0
% 3.52/3.90 1 ==> 1
% 3.52/3.90 2 ==> 2
% 3.52/3.90 3 ==> 3
% 3.52/3.90 4 ==> 4
% 3.52/3.90 end
% 3.52/3.90
% 3.52/3.90 subsumption: (96) {G0,W14,D2,L3,V4,M3} I { ! perp( X, T, Y, Z ), ! perp( Y
% 3.52/3.90 , T, X, Z ), alpha1( X, Y, Z ) }.
% 3.52/3.90 parent0: (22387) {G0,W14,D2,L3,V4,M3} { ! perp( X, T, Y, Z ), ! perp( Y, T
% 3.52/3.90 , X, Z ), alpha1( X, Y, Z ) }.
% 3.52/3.90 substitution0:
% 3.52/3.90 X := X
% 3.52/3.90 Y := Y
% 3.52/3.90 Z := Z
% 3.52/3.90 T := T
% 3.52/3.90 end
% 3.52/3.90 permutation0:
% 3.52/3.90 0 ==> 0
% 3.52/3.90 1 ==> 1
% 3.52/3.90 2 ==> 2
% 3.52/3.90 end
% 3.52/3.90
% 3.52/3.90 subsumption: (98) {G0,W12,D3,L2,V3,M2} I { ! alpha1( X, Y, Z ), perp( Y,
% 3.52/3.90 skol11( X, Y, Z ), Z, X ) }.
% 3.52/3.90 parent0: (22389) {G0,W12,D3,L2,V3,M2} { ! alpha1( X, Y, Z ), perp( Y,
% 3.52/3.90 skol11( X, Y, Z ), Z, X ) }.
% 3.52/3.90 substitution0:
% 3.52/3.90 X := X
% 3.52/3.90 Y := Y
% 3.52/3.90 Z := Z
% 3.52/3.90 end
% 3.52/3.90 permutation0:
% 3.52/3.90 0 ==> 0
% 3.52/3.90 1 ==> 1
% 3.52/3.90 end
% 3.52/3.90
% 3.52/3.90 subsumption: (100) {G0,W12,D3,L2,V4,M2} I { ! circle( Y, X, Z, T ), perp(
% 3.52/3.90 skol12( X, Y ), X, X, Y ) }.
% 3.52/3.90 parent0: (22391) {G0,W12,D3,L2,V4,M2} { ! circle( Y, X, Z, T ), perp(
% 3.52/3.90 skol12( X, Y ), X, X, Y ) }.
% 3.52/3.90 substitution0:
% 3.52/3.90 X := X
% 3.52/3.90 Y := Y
% 3.52/3.90 Z := Z
% 3.52/3.90 T := T
% 3.52/3.90 end
% 3.52/3.90 permutation0:
% 3.52/3.90 0 ==> 0
% 3.52/3.90 1 ==> 1
% 3.52/3.90 end
% 3.52/3.90
% 3.52/3.90 subsumption: (110) {G0,W17,D3,L3,V5,M3} I { ! perp( X, U, U, T ), ! coll( T
% 3.52/3.90 , Y, Z ), perp( skol16( X, Y, Z ), X, Y, Z ) }.
% 3.52/3.90 parent0: (22401) {G0,W17,D3,L3,V5,M3} { ! perp( X, U, U, T ), ! coll( T, Y
% 3.52/3.90 , Z ), perp( skol16( X, Y, Z ), X, Y, Z ) }.
% 3.52/3.90 substitution0:
% 3.52/3.90 X := X
% 3.52/3.90 Y := Y
% 3.52/3.90 Z := Z
% 3.52/3.90 T := T
% 3.52/3.90 U := U
% 3.52/3.90 end
% 3.52/3.90 permutation0:
% 3.52/3.90 0 ==> 0
% 3.52/3.90 1 ==> 1
% 3.52/3.90 2 ==> 2
% 3.52/3.90 end
% 3.52/3.90
% 3.52/3.90 subsumption: (121) {G0,W4,D2,L1,V0,M1} I { midp( skol24, skol26, skol25 )
% 3.52/3.90 }.
% 3.52/3.90 parent0: (22412) {G0,W4,D2,L1,V0,M1} { midp( skol24, skol26, skol25 ) }.
% 3.52/3.90 substitution0:
% 3.52/3.90 end
% 3.52/3.90 permutation0:
% 3.52/3.90 0 ==> 0
% 3.52/3.90 end
% 3.52/3.90
% 3.52/3.90 subsumption: (122) {G0,W5,D2,L1,V0,M1} I { ! perp( skol24, skol23, skol20,
% 3.52/3.90 skol22 ) }.
% 3.52/3.90 parent0: (22413) {G0,W5,D2,L1,V0,M1} { ! perp( skol24, skol23, skol20,
% 3.52/3.90 skol22 ) }.
% 3.52/3.90 substitution0:
% 3.52/3.90 end
% 3.52/3.90 permutation0:
% 3.52/3.90 0 ==> 0
% 3.52/3.90 end
% 3.52/3.90
% 3.52/3.90 factor: (23077) {G0,W10,D2,L2,V3,M2} { ! cong( X, Y, X, Z ), circle( X, Y
% 3.52/3.90 , Z, Z ) }.
% 3.52/3.90 parent0[0, 1]: (11) {G0,W15,D2,L3,V4,M3} I { ! cong( T, X, T, Y ), ! cong(
% 3.52/3.90 T, X, T, Z ), circle( T, X, Y, Z ) }.
% 3.52/3.90 substitution0:
% 3.52/3.90 X := Y
% 3.52/3.90 Y := Z
% 3.52/3.90 Z := Z
% 3.52/3.90 T := X
% 3.52/3.90 end
% 3.52/3.90
% 3.52/3.90 subsumption: (125) {G1,W10,D2,L2,V3,M2} F(11) { ! cong( X, Y, X, Z ),
% 3.52/3.90 circle( X, Y, Z, Z ) }.
% 3.52/3.90 parent0: (23077) {G0,W10,D2,L2,V3,M2} { ! cong( X, Y, X, Z ), circle( X, Y
% 3.52/3.90 , Z, Z ) }.
% 3.52/3.90 substitution0:
% 3.52/3.90 X := X
% 3.52/3.90 Y := Y
% 3.52/3.90 Z := Z
% 3.52/3.90 end
% 3.52/3.90 permutation0:
% 3.52/3.90 0 ==> 0
% 3.52/3.90 1 ==> 1
% 3.52/3.90 end
% 3.52/3.90
% 3.52/3.90 factor: (23080) {G0,W15,D2,L3,V4,M3} { ! cong( X, Y, X, Z ), ! cong( X, Y
% 3.52/3.90 , X, T ), cyclic( Y, Z, T, T ) }.
% 3.52/3.90 parent0[1, 2]: (12) {G0,W20,D2,L4,V5,M4} I { ! cong( U, X, U, Y ), ! cong(
% 3.52/3.90 U, X, U, Z ), ! cong( U, X, U, T ), cyclic( X, Y, Z, T ) }.
% 3.52/3.90 substitution0:
% 3.52/3.90 X := Y
% 3.52/3.90 Y := Z
% 3.52/3.90 Z := T
% 3.52/3.90 T := T
% 3.52/3.90 U := X
% 3.52/3.90 end
% 3.52/3.90
% 3.52/3.90 subsumption: (128) {G1,W15,D2,L3,V4,M3} F(12) { ! cong( X, Y, X, Z ), !
% 3.52/3.90 cong( X, Y, X, T ), cyclic( Y, Z, T, T ) }.
% 3.52/3.90 parent0: (23080) {G0,W15,D2,L3,V4,M3} { ! cong( X, Y, X, Z ), ! cong( X, Y
% 3.52/3.90 , X, T ), cyclic( Y, Z, T, T ) }.
% 3.52/3.90 substitution0:
% 3.52/3.90 X := X
% 3.52/3.90 Y := Y
% 3.52/3.90 Z := Z
% 3.52/3.90 T := T
% 3.52/3.90 end
% 3.52/3.90 permutation0:
% 3.52/3.90 0 ==> 0
% 3.52/3.90 1 ==> 1
% 3.52/3.90 2 ==> 2
% 3.52/3.90 end
% 3.52/3.90
% 3.52/3.90 factor: (23082) {G1,W10,D2,L2,V3,M2} { ! cong( X, Y, X, Z ), cyclic( Y, Z
% 3.52/3.90 , Z, Z ) }.
% 3.52/3.90 parent0[0, 1]: (128) {G1,W15,D2,L3,V4,M3} F(12) { ! cong( X, Y, X, Z ), !
% 3.52/3.90 cong( X, Y, X, T ), cyclic( Y, Z, T, T ) }.
% 3.52/3.90 substitution0:
% 3.52/3.90 X := X
% 3.52/3.90 Y := Y
% 3.52/3.90 Z := Z
% 3.52/3.90 T := Z
% 3.52/3.90 end
% 3.52/3.90
% 3.52/3.90 subsumption: (129) {G2,W10,D2,L2,V3,M2} F(128) { ! cong( X, Y, X, Z ),
% 3.52/3.90 cyclic( Y, Z, Z, Z ) }.
% 3.52/3.90 parent0: (23082) {G1,W10,D2,L2,V3,M2} { ! cong( X, Y, X, Z ), cyclic( Y, Z
% 3.52/3.90 , Z, Z ) }.
% 3.52/3.90 substitution0:
% 3.52/3.90 X := X
% 3.52/3.90 Y := Y
% 3.52/3.90 Z := Z
% 3.52/3.90 end
% 3.52/3.90 permutation0:
% 3.52/3.90 0 ==> 0
% 3.52/3.90 1 ==> 1
% 3.52/3.90 end
% 3.52/3.90
% 3.52/3.90 factor: (23083) {G0,W10,D2,L2,V4,M2} { ! cyclic( X, Y, Z, T ), cyclic( Y,
% 3.52/3.90 Z, T, T ) }.
% 3.52/3.90 parent0[0, 1]: (16) {G0,W15,D2,L3,V5,M3} I { ! cyclic( U, X, Y, Z ), !
% 3.52/3.90 cyclic( U, X, Y, T ), cyclic( X, Y, Z, T ) }.
% 3.52/3.90 substitution0:
% 3.52/3.90 X := Y
% 3.52/3.90 Y := Z
% 3.52/3.90 Z := T
% 3.52/3.90 T := T
% 3.52/3.90 U := X
% 3.52/3.90 end
% 3.52/3.90
% 3.52/3.90 subsumption: (130) {G1,W10,D2,L2,V4,M2} F(16) { ! cyclic( X, Y, Z, T ),
% 3.52/3.90 cyclic( Y, Z, T, T ) }.
% 3.52/3.90 parent0: (23083) {G0,W10,D2,L2,V4,M2} { ! cyclic( X, Y, Z, T ), cyclic( Y
% 3.52/3.90 , Z, T, T ) }.
% 3.52/3.90 substitution0:
% 3.52/3.90 X := X
% 3.52/3.90 Y := Y
% 3.52/3.90 Z := Z
% 3.52/3.90 T := T
% 3.52/3.90 end
% 3.52/3.90 permutation0:
% 3.52/3.90 0 ==> 0
% 3.52/3.90 1 ==> 1
% 3.52/3.90 end
% 3.52/3.90
% 3.52/3.90 factor: (23086) {G0,W24,D2,L4,V5,M4} { ! cyclic( X, Y, Z, T ), ! cyclic( X
% 3.52/3.90 , Y, Z, U ), ! eqangle( Z, X, Z, Y, U, T, U, U ), cong( X, Y, T, U ) }.
% 3.52/3.90 parent0[1, 2]: (43) {G0,W29,D2,L5,V6,M5} I { ! cyclic( X, Y, U, Z ), !
% 3.52/3.90 cyclic( X, Y, U, T ), ! cyclic( X, Y, U, W ), ! eqangle( U, X, U, Y, W, Z
% 3.52/3.90 , W, T ), cong( X, Y, Z, T ) }.
% 3.52/3.90 substitution0:
% 3.52/3.90 X := X
% 3.52/3.90 Y := Y
% 3.52/3.90 Z := T
% 3.52/3.90 T := U
% 3.52/3.90 U := Z
% 3.52/3.90 W := U
% 3.52/3.90 end
% 3.52/3.90
% 3.52/3.90 subsumption: (133) {G1,W24,D2,L4,V5,M4} F(43) { ! cyclic( X, Y, Z, T ), !
% 3.52/3.90 cyclic( X, Y, Z, U ), ! eqangle( Z, X, Z, Y, U, T, U, U ), cong( X, Y, T
% 3.52/3.90 , U ) }.
% 3.52/3.90 parent0: (23086) {G0,W24,D2,L4,V5,M4} { ! cyclic( X, Y, Z, T ), ! cyclic(
% 3.52/3.90 X, Y, Z, U ), ! eqangle( Z, X, Z, Y, U, T, U, U ), cong( X, Y, T, U ) }.
% 3.52/3.90 substitution0:
% 3.52/3.90 X := X
% 3.52/3.90 Y := Y
% 3.52/3.90 Z := Z
% 3.52/3.90 T := T
% 3.52/3.90 U := U
% 3.52/3.90 end
% 3.52/3.90 permutation0:
% 3.52/3.90 0 ==> 0
% 3.52/3.90 1 ==> 1
% 3.52/3.90 2 ==> 2
% 3.52/3.90 3 ==> 3
% 3.52/3.90 end
% 3.52/3.90
% 3.52/3.90 factor: (23088) {G0,W15,D2,L3,V3,M3} { ! cong( X, Y, Z, Y ), ! cyclic( X,
% 3.52/3.90 Z, Y, Y ), perp( Y, X, X, Y ) }.
% 3.52/3.90 parent0[0, 1]: (57) {G0,W20,D2,L4,V4,M4} I { ! cong( X, Y, T, Y ), ! cong(
% 3.52/3.90 X, Z, T, Z ), ! cyclic( X, T, Y, Z ), perp( Y, X, X, Z ) }.
% 3.52/3.90 substitution0:
% 3.52/3.90 X := X
% 3.52/3.90 Y := Y
% 3.52/3.90 Z := Y
% 3.52/3.90 T := Z
% 3.52/3.90 end
% 3.52/3.90
% 3.52/3.90 subsumption: (136) {G1,W15,D2,L3,V3,M3} F(57) { ! cong( X, Y, Z, Y ), !
% 3.52/3.90 cyclic( X, Z, Y, Y ), perp( Y, X, X, Y ) }.
% 3.52/3.90 parent0: (23088) {G0,W15,D2,L3,V3,M3} { ! cong( X, Y, Z, Y ), ! cyclic( X
% 3.52/3.90 , Z, Y, Y ), perp( Y, X, X, Y ) }.
% 3.52/3.90 substitution0:
% 3.52/3.90 X := X
% 3.52/3.90 Y := Y
% 3.52/3.90 Z := Z
% 3.52/3.90 end
% 3.52/3.90 permutation0:
% 3.52/3.90 0 ==> 0
% 3.52/3.90 1 ==> 1
% 3.52/3.90 2 ==> 2
% 3.52/3.90 end
% 3.52/3.90
% 3.52/3.90 factor: (23089) {G0,W9,D2,L2,V3,M2} { ! midp( X, Y, Z ), para( Y, Y, Z, Z
% 3.52/3.90 ) }.
% 3.52/3.90 parent0[0, 1]: (63) {G0,W13,D2,L3,V5,M3} I { ! midp( U, X, Y ), ! midp( U,
% 3.52/3.90 Z, T ), para( X, Z, Y, T ) }.
% 3.52/3.90 substitution0:
% 3.52/3.90 X := Y
% 3.52/3.90 Y := Z
% 3.52/3.90 Z := Y
% 3.52/3.90 T := Z
% 3.52/3.90 U := X
% 3.52/3.90 end
% 3.52/3.90
% 3.52/3.90 subsumption: (138) {G1,W9,D2,L2,V3,M2} F(63) { ! midp( X, Y, Z ), para( Y,
% 3.52/3.90 Y, Z, Z ) }.
% 3.52/3.90 parent0: (23089) {G0,W9,D2,L2,V3,M2} { ! midp( X, Y, Z ), para( Y, Y, Z, Z
% 3.52/3.90 ) }.
% 3.52/3.90 substitution0:
% 3.52/3.90 X := X
% 3.52/3.90 Y := Y
% 3.52/3.90 Z := Z
% 3.52/3.90 end
% 3.52/3.90 permutation0:
% 3.52/3.90 0 ==> 0
% 3.52/3.90 1 ==> 1
% 3.52/3.90 end
% 3.52/3.90
% 3.52/3.90 factor: (23090) {G0,W18,D3,L4,V4,M4} { ! midp( X, Y, Z ), ! coll( Y, Y, Z
% 3.52/3.90 ), ! coll( Z, Y, Z ), midp( skol7( Y, T ), Y, T ) }.
% 3.52/3.90 parent0[0, 1]: (88) {G0,W22,D3,L5,V7,M5} I { ! midp( Z, X, Y ), ! midp( W,
% 3.52/3.90 T, U ), ! coll( T, X, Y ), ! coll( U, X, Y ), midp( skol7( X, V0 ), X, V0
% 3.52/3.90 ) }.
% 3.52/3.90 substitution0:
% 3.52/3.90 X := Y
% 3.52/3.90 Y := Z
% 3.52/3.90 Z := X
% 3.52/3.90 T := Y
% 3.52/3.90 U := Z
% 3.52/3.90 W := X
% 3.52/3.90 V0 := T
% 3.52/3.90 end
% 3.52/3.90
% 3.52/3.90 subsumption: (145) {G1,W18,D3,L4,V4,M4} F(88) { ! midp( X, Y, Z ), ! coll(
% 3.52/3.90 Y, Y, Z ), ! coll( Z, Y, Z ), midp( skol7( Y, T ), Y, T ) }.
% 3.52/3.90 parent0: (23090) {G0,W18,D3,L4,V4,M4} { ! midp( X, Y, Z ), ! coll( Y, Y, Z
% 3.52/3.90 ), ! coll( Z, Y, Z ), midp( skol7( Y, T ), Y, T ) }.
% 3.52/3.90 substitution0:
% 3.52/3.90 X := X
% 3.52/3.90 Y := Y
% 3.52/3.90 Z := Z
% 3.52/3.90 T := T
% 3.52/3.90 end
% 3.52/3.90 permutation0:
% 3.52/3.90 0 ==> 0
% 3.52/3.90 1 ==> 1
% 3.52/3.90 2 ==> 2
% 3.52/3.90 3 ==> 3
% 3.52/3.90 end
% 3.52/3.90
% 3.52/3.90 factor: (23093) {G0,W9,D2,L2,V3,M2} { ! perp( X, Y, X, Z ), alpha1( X, X,
% 3.52/3.90 Z ) }.
% 3.52/3.90 parent0[0, 1]: (96) {G0,W14,D2,L3,V4,M3} I { ! perp( X, T, Y, Z ), ! perp(
% 3.52/3.90 Y, T, X, Z ), alpha1( X, Y, Z ) }.
% 3.52/3.90 substitution0:
% 3.52/3.90 X := X
% 3.52/3.90 Y := X
% 3.52/3.90 Z := Z
% 3.52/3.90 T := Y
% 3.52/3.90 end
% 3.52/3.90
% 3.52/3.90 subsumption: (152) {G1,W9,D2,L2,V3,M2} F(96) { ! perp( X, Y, X, Z ), alpha1
% 3.52/3.90 ( X, X, Z ) }.
% 3.52/3.90 parent0: (23093) {G0,W9,D2,L2,V3,M2} { ! perp( X, Y, X, Z ), alpha1( X, X
% 3.52/3.90 , Z ) }.
% 3.52/3.90 substitution0:
% 3.52/3.90 X := X
% 3.52/3.90 Y := Y
% 3.52/3.90 Z := Z
% 3.52/3.90 end
% 3.52/3.90 permutation0:
% 3.52/3.90 0 ==> 0
% 3.52/3.90 1 ==> 1
% 3.52/3.90 end
% 3.52/3.90
% 3.52/3.90 resolution: (23094) {G1,W8,D2,L2,V3,M2} { coll( Y, X, Z ), ! coll( X, Z, Y
% 3.52/3.90 ) }.
% 3.52/3.90 parent0[0]: (1) {G0,W8,D2,L2,V3,M2} I { ! coll( X, Y, Z ), coll( Y, X, Z )
% 3.52/3.90 }.
% 3.52/3.90 parent1[1]: (0) {G0,W8,D2,L2,V3,M2} I { ! coll( X, Y, Z ), coll( X, Z, Y )
% 3.52/3.90 }.
% 3.52/3.90 substitution0:
% 3.52/3.90 X := X
% 3.52/3.90 Y := Y
% 3.52/3.90 Z := Z
% 3.52/3.90 end
% 3.52/3.90 substitution1:
% 3.52/3.90 X := X
% 3.52/3.90 Y := Z
% 3.52/3.90 Z := Y
% 3.52/3.90 end
% 3.52/3.90
% 3.52/3.90 subsumption: (164) {G1,W8,D2,L2,V3,M2} R(1,0) { coll( X, Y, Z ), ! coll( Y
% 3.52/3.90 , Z, X ) }.
% 3.52/3.90 parent0: (23094) {G1,W8,D2,L2,V3,M2} { coll( Y, X, Z ), ! coll( X, Z, Y )
% 3.52/3.90 }.
% 3.52/3.90 substitution0:
% 3.52/3.90 X := Y
% 3.52/3.90 Y := X
% 3.52/3.90 Z := Z
% 3.52/3.90 end
% 3.52/3.90 permutation0:
% 3.52/3.90 0 ==> 0
% 3.52/3.90 1 ==> 1
% 3.52/3.90 end
% 3.52/3.90
% 3.52/3.90 resolution: (23096) {G1,W8,D2,L2,V3,M2} { coll( X, Z, Y ), ! coll( Y, X, Z
% 3.52/3.90 ) }.
% 3.52/3.90 parent0[0]: (0) {G0,W8,D2,L2,V3,M2} I { ! coll( X, Y, Z ), coll( X, Z, Y )
% 3.52/3.90 }.
% 3.52/3.90 parent1[1]: (1) {G0,W8,D2,L2,V3,M2} I { ! coll( X, Y, Z ), coll( Y, X, Z )
% 3.52/3.90 }.
% 3.52/3.90 substitution0:
% 3.52/3.90 X := X
% 3.52/3.90 Y := Y
% 3.52/3.90 Z := Z
% 3.52/3.90 end
% 3.52/3.90 substitution1:
% 3.52/3.90 X := Y
% 3.52/3.90 Y := X
% 3.52/3.90 Z := Z
% 3.52/3.90 end
% 3.52/3.90
% 3.52/3.90 subsumption: (165) {G1,W8,D2,L2,V3,M2} R(1,0) { ! coll( X, Y, Z ), coll( Y
% 3.52/3.90 , Z, X ) }.
% 3.52/3.90 parent0: (23096) {G1,W8,D2,L2,V3,M2} { coll( X, Z, Y ), ! coll( Y, X, Z )
% 3.52/3.90 }.
% 3.52/3.90 substitution0:
% 3.52/3.90 X := Y
% 3.52/3.90 Y := X
% 3.52/3.90 Z := Z
% 3.52/3.90 end
% 3.52/3.90 permutation0:
% 3.52/3.90 0 ==> 1
% 3.52/3.90 1 ==> 0
% 3.52/3.90 end
% 3.52/3.90
% 3.52/3.90 resolution: (23100) {G1,W12,D2,L3,V4,M3} { coll( X, Z, Y ), ! coll( Z, T,
% 3.52/3.90 X ), ! coll( Z, T, Y ) }.
% 3.52/3.90 parent0[0]: (0) {G0,W8,D2,L2,V3,M2} I { ! coll( X, Y, Z ), coll( X, Z, Y )
% 3.52/3.90 }.
% 3.52/3.90 parent1[2]: (2) {G0,W12,D2,L3,V4,M3} I { ! coll( X, T, Y ), ! coll( X, T, Z
% 3.52/3.90 ), coll( Y, Z, X ) }.
% 3.52/3.90 substitution0:
% 3.52/3.90 X := X
% 3.52/3.90 Y := Y
% 3.52/3.90 Z := Z
% 3.52/3.90 end
% 3.52/3.90 substitution1:
% 3.52/3.90 X := Z
% 3.52/3.90 Y := X
% 3.52/3.90 Z := Y
% 3.52/3.90 T := T
% 3.52/3.90 end
% 3.52/3.90
% 3.52/3.90 subsumption: (189) {G1,W12,D2,L3,V4,M3} R(2,0) { ! coll( X, Y, Z ), ! coll
% 3.52/3.90 ( X, Y, T ), coll( Z, X, T ) }.
% 3.52/3.90 parent0: (23100) {G1,W12,D2,L3,V4,M3} { coll( X, Z, Y ), ! coll( Z, T, X )
% 3.52/3.90 , ! coll( Z, T, Y ) }.
% 3.52/3.90 substitution0:
% 3.52/3.90 X := Z
% 3.52/3.90 Y := T
% 3.52/3.90 Z := X
% 3.52/3.90 T := Y
% 3.52/3.90 end
% 3.52/3.90 permutation0:
% 3.52/3.90 0 ==> 2
% 3.52/3.90 1 ==> 0
% 3.52/3.90 2 ==> 1
% 3.52/3.90 end
% 3.52/3.90
% 3.52/3.90 factor: (23102) {G1,W8,D2,L2,V3,M2} { ! coll( X, Y, Z ), coll( Z, X, Z )
% 3.52/3.90 }.
% 3.52/3.90 parent0[0, 1]: (189) {G1,W12,D2,L3,V4,M3} R(2,0) { ! coll( X, Y, Z ), !
% 3.52/3.90 coll( X, Y, T ), coll( Z, X, T ) }.
% 3.52/3.90 substitution0:
% 3.52/3.90 X := X
% 3.52/3.90 Y := Y
% 3.52/3.90 Z := Z
% 3.52/3.90 T := Z
% 3.52/3.90 end
% 3.52/3.90
% 3.52/3.90 subsumption: (194) {G2,W8,D2,L2,V3,M2} F(189) { ! coll( X, Y, Z ), coll( Z
% 3.52/3.90 , X, Z ) }.
% 3.52/3.90 parent0: (23102) {G1,W8,D2,L2,V3,M2} { ! coll( X, Y, Z ), coll( Z, X, Z )
% 3.52/3.90 }.
% 3.52/3.90 substitution0:
% 3.52/3.90 X := X
% 3.52/3.90 Y := Y
% 3.52/3.90 Z := Z
% 3.52/3.90 end
% 3.52/3.90 permutation0:
% 3.52/3.90 0 ==> 0
% 3.52/3.90 1 ==> 1
% 3.52/3.90 end
% 3.52/3.90
% 3.52/3.90 resolution: (23103) {G1,W12,D2,L3,V4,M3} { coll( Z, X, Z ), ! coll( Z, T,
% 3.52/3.90 X ), ! coll( Z, T, Y ) }.
% 3.52/3.90 parent0[0]: (194) {G2,W8,D2,L2,V3,M2} F(189) { ! coll( X, Y, Z ), coll( Z,
% 3.52/3.90 X, Z ) }.
% 3.52/3.90 parent1[2]: (2) {G0,W12,D2,L3,V4,M3} I { ! coll( X, T, Y ), ! coll( X, T, Z
% 3.52/3.90 ), coll( Y, Z, X ) }.
% 3.52/3.90 substitution0:
% 3.52/3.90 X := X
% 3.52/3.90 Y := Y
% 3.52/3.90 Z := Z
% 3.52/3.90 end
% 3.52/3.90 substitution1:
% 3.52/3.90 X := Z
% 3.52/3.90 Y := X
% 3.52/3.90 Z := Y
% 3.52/3.90 T := T
% 3.52/3.90 end
% 3.52/3.90
% 3.52/3.90 subsumption: (211) {G3,W12,D2,L3,V4,M3} R(194,2) { coll( X, Y, X ), ! coll
% 3.52/3.90 ( X, Z, Y ), ! coll( X, Z, T ) }.
% 3.52/3.90 parent0: (23103) {G1,W12,D2,L3,V4,M3} { coll( Z, X, Z ), ! coll( Z, T, X )
% 3.52/3.90 , ! coll( Z, T, Y ) }.
% 3.52/3.90 substitution0:
% 3.52/3.90 X := Y
% 3.52/3.90 Y := Y
% 3.52/3.90 Z := X
% 3.52/3.90 T := Z
% 3.52/3.90 end
% 3.52/3.90 permutation0:
% 3.52/3.90 0 ==> 0
% 3.52/3.90 1 ==> 1
% 3.52/3.90 2 ==> 1
% 3.52/3.90 end
% 3.52/3.90
% 3.52/3.90 factor: (23105) {G3,W8,D2,L2,V3,M2} { coll( X, Y, X ), ! coll( X, Z, Y )
% 3.52/3.90 }.
% 3.52/3.90 parent0[1, 2]: (211) {G3,W12,D2,L3,V4,M3} R(194,2) { coll( X, Y, X ), !
% 3.52/3.90 coll( X, Z, Y ), ! coll( X, Z, T ) }.
% 3.52/3.90 substitution0:
% 3.52/3.90 X := X
% 3.52/3.90 Y := Y
% 3.52/3.90 Z := Z
% 3.52/3.90 T := Y
% 3.52/3.90 end
% 3.52/3.90
% 3.52/3.90 subsumption: (224) {G4,W8,D2,L2,V3,M2} F(211) { coll( X, Y, X ), ! coll( X
% 3.52/3.90 , Z, Y ) }.
% 3.52/3.90 parent0: (23105) {G3,W8,D2,L2,V3,M2} { coll( X, Y, X ), ! coll( X, Z, Y )
% 3.52/3.90 }.
% 3.52/3.90 substitution0:
% 3.52/3.90 X := X
% 3.52/3.90 Y := Y
% 3.52/3.90 Z := Z
% 3.52/3.90 end
% 3.52/3.90 permutation0:
% 3.52/3.90 0 ==> 0
% 3.52/3.90 1 ==> 1
% 3.52/3.90 end
% 3.52/3.90
% 3.52/3.90 resolution: (23106) {G1,W10,D2,L2,V4,M2} { perp( Z, T, X, Y ), ! perp( X,
% 3.52/3.90 Y, T, Z ) }.
% 3.52/3.90 parent0[0]: (7) {G0,W10,D2,L2,V4,M2} I { ! perp( X, Y, Z, T ), perp( Z, T,
% 3.52/3.90 X, Y ) }.
% 3.52/3.90 parent1[1]: (6) {G0,W10,D2,L2,V4,M2} I { ! perp( X, Y, Z, T ), perp( X, Y,
% 3.52/3.90 T, Z ) }.
% 3.52/3.90 substitution0:
% 3.52/3.90 X := X
% 3.52/3.90 Y := Y
% 3.52/3.90 Z := Z
% 3.52/3.90 T := T
% 3.52/3.90 end
% 3.52/3.90 substitution1:
% 3.52/3.90 X := X
% 3.52/3.90 Y := Y
% 3.52/3.90 Z := T
% 3.52/3.90 T := Z
% 3.52/3.90 end
% 3.52/3.90
% 3.52/3.90 subsumption: (264) {G1,W10,D2,L2,V4,M2} R(7,6) { perp( X, Y, Z, T ), ! perp
% 3.52/3.90 ( Z, T, Y, X ) }.
% 3.52/3.90 parent0: (23106) {G1,W10,D2,L2,V4,M2} { perp( Z, T, X, Y ), ! perp( X, Y,
% 3.52/3.90 T, Z ) }.
% 3.52/3.90 substitution0:
% 3.52/3.90 X := Z
% 3.52/3.90 Y := T
% 3.52/3.90 Z := X
% 3.52/3.90 T := Y
% 3.52/3.90 end
% 3.52/3.90 permutation0:
% 3.52/3.90 0 ==> 0
% 3.52/3.90 1 ==> 1
% 3.52/3.90 end
% 3.52/3.90
% 3.52/3.90 resolution: (23108) {G1,W10,D2,L2,V4,M2} { perp( X, Y, T, Z ), ! perp( Z,
% 3.52/3.90 T, X, Y ) }.
% 3.52/3.90 parent0[0]: (6) {G0,W10,D2,L2,V4,M2} I { ! perp( X, Y, Z, T ), perp( X, Y,
% 3.52/3.90 T, Z ) }.
% 3.52/3.90 parent1[1]: (7) {G0,W10,D2,L2,V4,M2} I { ! perp( X, Y, Z, T ), perp( Z, T,
% 3.52/3.90 X, Y ) }.
% 3.52/3.90 substitution0:
% 3.52/3.90 X := X
% 3.52/3.90 Y := Y
% 3.52/3.90 Z := Z
% 3.52/3.90 T := T
% 3.52/3.90 end
% 3.52/3.90 substitution1:
% 3.52/3.90 X := Z
% 3.52/3.90 Y := T
% 3.52/3.90 Z := X
% 3.52/3.90 T := Y
% 3.52/3.90 end
% 3.52/3.90
% 3.52/3.90 subsumption: (265) {G1,W10,D2,L2,V4,M2} R(7,6) { ! perp( X, Y, Z, T ), perp
% 3.52/3.90 ( Z, T, Y, X ) }.
% 3.52/3.90 parent0: (23108) {G1,W10,D2,L2,V4,M2} { perp( X, Y, T, Z ), ! perp( Z, T,
% 3.52/3.90 X, Y ) }.
% 3.52/3.90 substitution0:
% 3.52/3.90 X := Z
% 3.52/3.90 Y := T
% 3.52/3.90 Z := X
% 3.52/3.90 T := Y
% 3.52/3.90 end
% 3.52/3.90 permutation0:
% 3.52/3.90 0 ==> 1
% 3.52/3.90 1 ==> 0
% 3.52/3.90 end
% 3.52/3.90
% 3.52/3.90 resolution: (23109) {G1,W15,D2,L3,V6,M3} { ! perp( Z, T, U, W ), para( X,
% 3.52/3.90 Y, U, W ), ! perp( Z, T, X, Y ) }.
% 3.52/3.90 parent0[0]: (8) {G0,W15,D2,L3,V6,M3} I { ! perp( X, Y, U, W ), ! perp( U, W
% 3.52/3.90 , Z, T ), para( X, Y, Z, T ) }.
% 3.52/3.90 parent1[1]: (7) {G0,W10,D2,L2,V4,M2} I { ! perp( X, Y, Z, T ), perp( Z, T,
% 3.52/3.90 X, Y ) }.
% 3.52/3.90 substitution0:
% 3.52/3.90 X := X
% 3.52/3.90 Y := Y
% 3.52/3.90 Z := U
% 3.52/3.90 T := W
% 3.52/3.90 U := Z
% 3.52/3.90 W := T
% 3.52/3.90 end
% 3.52/3.90 substitution1:
% 3.52/3.90 X := Z
% 3.52/3.90 Y := T
% 3.52/3.90 Z := X
% 3.52/3.90 T := Y
% 3.52/3.90 end
% 3.52/3.90
% 3.52/3.90 subsumption: (275) {G1,W15,D2,L3,V6,M3} R(8,7) { ! perp( X, Y, Z, T ), para
% 3.52/3.90 ( U, W, Z, T ), ! perp( X, Y, U, W ) }.
% 3.52/3.90 parent0: (23109) {G1,W15,D2,L3,V6,M3} { ! perp( Z, T, U, W ), para( X, Y,
% 3.52/3.90 U, W ), ! perp( Z, T, X, Y ) }.
% 3.52/3.90 substitution0:
% 3.52/3.90 X := U
% 3.52/3.90 Y := W
% 3.52/3.90 Z := X
% 3.52/3.90 T := Y
% 3.52/3.90 U := Z
% 3.52/3.90 W := T
% 3.52/3.90 end
% 3.52/3.90 permutation0:
% 3.52/3.90 0 ==> 0
% 3.52/3.90 1 ==> 1
% 3.52/3.90 2 ==> 2
% 3.52/3.90 end
% 3.52/3.90
% 3.52/3.90 resolution: (23114) {G1,W15,D2,L3,V6,M3} { ! perp( X, Y, Z, T ), para( X,
% 3.52/3.90 Y, U, W ), ! perp( U, W, Z, T ) }.
% 3.52/3.90 parent0[1]: (8) {G0,W15,D2,L3,V6,M3} I { ! perp( X, Y, U, W ), ! perp( U, W
% 3.52/3.90 , Z, T ), para( X, Y, Z, T ) }.
% 3.52/3.90 parent1[1]: (7) {G0,W10,D2,L2,V4,M2} I { ! perp( X, Y, Z, T ), perp( Z, T,
% 3.52/3.90 X, Y ) }.
% 3.52/3.90 substitution0:
% 3.52/3.90 X := X
% 3.52/3.90 Y := Y
% 3.52/3.90 Z := U
% 3.52/3.90 T := W
% 3.52/3.90 U := Z
% 3.52/3.90 W := T
% 3.52/3.90 end
% 3.52/3.90 substitution1:
% 3.52/3.90 X := U
% 3.52/3.90 Y := W
% 3.52/3.90 Z := Z
% 3.52/3.90 T := T
% 3.52/3.90 end
% 3.52/3.90
% 3.52/3.90 subsumption: (276) {G1,W15,D2,L3,V6,M3} R(8,7) { ! perp( X, Y, Z, T ), para
% 3.52/3.90 ( X, Y, U, W ), ! perp( U, W, Z, T ) }.
% 3.52/3.90 parent0: (23114) {G1,W15,D2,L3,V6,M3} { ! perp( X, Y, Z, T ), para( X, Y,
% 3.52/3.90 U, W ), ! perp( U, W, Z, T ) }.
% 3.52/3.90 substitution0:
% 3.52/3.90 X := X
% 3.52/3.90 Y := Y
% 3.52/3.90 Z := Z
% 3.52/3.90 T := T
% 3.52/3.90 U := U
% 3.52/3.90 W := W
% 3.52/3.90 end
% 3.52/3.90 permutation0:
% 3.52/3.90 0 ==> 0
% 3.52/3.90 1 ==> 1
% 3.52/3.90 2 ==> 2
% 3.52/3.90 end
% 3.52/3.90
% 3.52/3.90 resolution: (23117) {G1,W15,D2,L3,V6,M3} { ! perp( Z, T, U, W ), para( X,
% 3.52/3.90 Y, U, W ), ! perp( X, Y, T, Z ) }.
% 3.52/3.90 parent0[0]: (8) {G0,W15,D2,L3,V6,M3} I { ! perp( X, Y, U, W ), ! perp( U, W
% 3.52/3.90 , Z, T ), para( X, Y, Z, T ) }.
% 3.52/3.90 parent1[1]: (6) {G0,W10,D2,L2,V4,M2} I { ! perp( X, Y, Z, T ), perp( X, Y,
% 3.52/3.90 T, Z ) }.
% 3.52/3.90 substitution0:
% 3.52/3.90 X := X
% 3.52/3.90 Y := Y
% 3.52/3.90 Z := U
% 3.52/3.90 T := W
% 3.52/3.90 U := Z
% 3.52/3.90 W := T
% 3.52/3.90 end
% 3.52/3.90 substitution1:
% 3.52/3.90 X := X
% 3.52/3.90 Y := Y
% 3.52/3.90 Z := T
% 3.52/3.90 T := Z
% 3.52/3.90 end
% 3.52/3.90
% 3.52/3.90 subsumption: (277) {G1,W15,D2,L3,V6,M3} R(8,6) { ! perp( X, Y, Z, T ), para
% 3.52/3.90 ( U, W, Z, T ), ! perp( U, W, Y, X ) }.
% 3.52/3.90 parent0: (23117) {G1,W15,D2,L3,V6,M3} { ! perp( Z, T, U, W ), para( X, Y,
% 3.52/3.90 U, W ), ! perp( X, Y, T, Z ) }.
% 3.52/3.90 substitution0:
% 3.52/3.90 X := U
% 3.52/3.90 Y := W
% 3.52/3.90 Z := X
% 3.52/3.90 T := Y
% 3.52/3.90 U := Z
% 3.52/3.90 W := T
% 3.52/3.90 end
% 3.52/3.90 permutation0:
% 3.52/3.90 0 ==> 0
% 3.52/3.90 1 ==> 1
% 3.52/3.90 2 ==> 2
% 3.52/3.90 end
% 3.52/3.90
% 3.52/3.90 factor: (23121) {G1,W10,D2,L2,V4,M2} { ! perp( X, Y, Z, T ), para( X, Y, X
% 3.52/3.90 , Y ) }.
% 3.52/3.90 parent0[0, 2]: (276) {G1,W15,D2,L3,V6,M3} R(8,7) { ! perp( X, Y, Z, T ),
% 3.52/3.90 para( X, Y, U, W ), ! perp( U, W, Z, T ) }.
% 3.52/3.90 substitution0:
% 3.52/3.90 X := X
% 3.52/3.90 Y := Y
% 3.52/3.90 Z := Z
% 3.52/3.90 T := T
% 3.52/3.90 U := X
% 3.52/3.90 W := Y
% 3.52/3.90 end
% 3.52/3.90
% 3.52/3.90 subsumption: (286) {G2,W10,D2,L2,V4,M2} F(276) { ! perp( X, Y, Z, T ), para
% 3.52/3.90 ( X, Y, X, Y ) }.
% 3.52/3.90 parent0: (23121) {G1,W10,D2,L2,V4,M2} { ! perp( X, Y, Z, T ), para( X, Y,
% 3.52/3.90 X, Y ) }.
% 3.52/3.90 substitution0:
% 3.52/3.90 X := X
% 3.52/3.90 Y := Y
% 3.52/3.90 Z := Z
% 3.52/3.90 T := T
% 3.52/3.90 end
% 3.52/3.90 permutation0:
% 3.52/3.90 0 ==> 0
% 3.52/3.90 1 ==> 1
% 3.52/3.90 end
% 3.52/3.90
% 3.52/3.90 resolution: (23122) {G1,W15,D2,L3,V6,M3} { ! perp( Z, T, U, W ), perp( X,
% 3.52/3.90 Y, U, W ), ! para( X, Y, T, Z ) }.
% 3.52/3.90 parent0[0]: (9) {G0,W15,D2,L3,V6,M3} I { ! para( X, Y, U, W ), ! perp( U, W
% 3.52/3.90 , Z, T ), perp( X, Y, Z, T ) }.
% 3.52/3.90 parent1[1]: (3) {G0,W10,D2,L2,V4,M2} I { ! para( X, Y, Z, T ), para( X, Y,
% 3.52/3.90 T, Z ) }.
% 3.52/3.90 substitution0:
% 3.52/3.90 X := X
% 3.52/3.90 Y := Y
% 3.52/3.90 Z := U
% 3.52/3.90 T := W
% 3.52/3.90 U := Z
% 3.52/3.90 W := T
% 3.52/3.90 end
% 3.52/3.90 substitution1:
% 3.52/3.90 X := X
% 3.52/3.90 Y := Y
% 3.52/3.90 Z := T
% 3.52/3.90 T := Z
% 3.52/3.90 end
% 3.52/3.90
% 3.52/3.90 subsumption: (304) {G1,W15,D2,L3,V6,M3} R(9,3) { ! perp( X, Y, Z, T ), perp
% 3.52/3.90 ( U, W, Z, T ), ! para( U, W, Y, X ) }.
% 3.52/3.90 parent0: (23122) {G1,W15,D2,L3,V6,M3} { ! perp( Z, T, U, W ), perp( X, Y,
% 3.52/3.90 U, W ), ! para( X, Y, T, Z ) }.
% 3.52/3.90 substitution0:
% 3.52/3.90 X := U
% 3.52/3.90 Y := W
% 3.52/3.90 Z := X
% 3.52/3.90 T := Y
% 3.52/3.90 U := Z
% 3.52/3.90 W := T
% 3.52/3.90 end
% 3.52/3.90 permutation0:
% 3.52/3.90 0 ==> 0
% 3.52/3.90 1 ==> 1
% 3.52/3.90 2 ==> 2
% 3.52/3.90 end
% 3.52/3.90
% 3.52/3.90 resolution: (23123) {G1,W10,D2,L2,V2,M2} { ! para( skol24, skol23, X, Y )
% 3.52/3.90 , ! perp( X, Y, skol20, skol22 ) }.
% 3.52/3.90 parent0[0]: (122) {G0,W5,D2,L1,V0,M1} I { ! perp( skol24, skol23, skol20,
% 3.52/3.90 skol22 ) }.
% 3.52/3.90 parent1[2]: (9) {G0,W15,D2,L3,V6,M3} I { ! para( X, Y, U, W ), ! perp( U, W
% 3.52/3.90 , Z, T ), perp( X, Y, Z, T ) }.
% 3.52/3.90 substitution0:
% 3.52/3.90 end
% 3.52/3.90 substitution1:
% 3.52/3.90 X := skol24
% 3.52/3.90 Y := skol23
% 3.52/3.90 Z := skol20
% 3.52/3.90 T := skol22
% 3.52/3.90 U := X
% 3.52/3.90 W := Y
% 3.52/3.90 end
% 3.52/3.90
% 3.52/3.90 subsumption: (306) {G1,W10,D2,L2,V2,M2} R(9,122) { ! para( skol24, skol23,
% 3.52/3.90 X, Y ), ! perp( X, Y, skol20, skol22 ) }.
% 3.52/3.90 parent0: (23123) {G1,W10,D2,L2,V2,M2} { ! para( skol24, skol23, X, Y ), !
% 3.52/3.90 perp( X, Y, skol20, skol22 ) }.
% 3.52/3.90 substitution0:
% 3.52/3.90 X := X
% 3.52/3.90 Y := Y
% 3.52/3.90 end
% 3.52/3.90 permutation0:
% 3.52/3.90 0 ==> 0
% 3.52/3.90 1 ==> 1
% 3.52/3.90 end
% 3.52/3.90
% 3.52/3.90 resolution: (23124) {G1,W4,D2,L1,V0,M1} { midp( skol24, skol25, skol26 )
% 3.52/3.90 }.
% 3.52/3.90 parent0[0]: (10) {G0,W8,D2,L2,V3,M2} I { ! midp( Z, Y, X ), midp( Z, X, Y )
% 3.52/3.90 }.
% 3.52/3.90 parent1[0]: (121) {G0,W4,D2,L1,V0,M1} I { midp( skol24, skol26, skol25 )
% 3.52/3.90 }.
% 3.52/3.90 substitution0:
% 3.52/3.90 X := skol25
% 3.52/3.90 Y := skol26
% 3.52/3.90 Z := skol24
% 3.52/3.90 end
% 3.52/3.90 substitution1:
% 3.52/3.90 end
% 3.52/3.90
% 3.52/3.90 subsumption: (314) {G1,W4,D2,L1,V0,M1} R(10,121) { midp( skol24, skol25,
% 3.52/3.90 skol26 ) }.
% 3.52/3.90 parent0: (23124) {G1,W4,D2,L1,V0,M1} { midp( skol24, skol25, skol26 ) }.
% 3.52/3.90 substitution0:
% 3.52/3.90 end
% 3.52/3.90 permutation0:
% 3.52/3.90 0 ==> 0
% 3.52/3.90 end
% 3.52/3.90
% 3.52/3.90 resolution: (23126) {G1,W10,D2,L2,V4,M2} { cyclic( X, Y, T, Z ), ! cyclic
% 3.52/3.90 ( X, Z, Y, T ) }.
% 3.52/3.90 parent0[0]: (13) {G0,W10,D2,L2,V4,M2} I { ! cyclic( X, Y, Z, T ), cyclic( X
% 3.52/3.90 , Y, T, Z ) }.
% 3.52/3.90 parent1[1]: (14) {G0,W10,D2,L2,V4,M2} I { ! cyclic( X, Y, Z, T ), cyclic( X
% 3.52/3.90 , Z, Y, T ) }.
% 3.52/3.90 substitution0:
% 3.52/3.90 X := X
% 3.52/3.90 Y := Y
% 3.52/3.90 Z := Z
% 3.52/3.90 T := T
% 3.52/3.90 end
% 3.52/3.90 substitution1:
% 3.52/3.90 X := X
% 3.52/3.90 Y := Z
% 3.52/3.90 Z := Y
% 3.52/3.90 T := T
% 3.52/3.90 end
% 3.52/3.90
% 3.52/3.90 subsumption: (347) {G1,W10,D2,L2,V4,M2} R(14,13) { ! cyclic( X, Y, Z, T ),
% 3.52/3.90 cyclic( X, Z, T, Y ) }.
% 3.52/3.90 parent0: (23126) {G1,W10,D2,L2,V4,M2} { cyclic( X, Y, T, Z ), ! cyclic( X
% 3.52/3.90 , Z, Y, T ) }.
% 3.52/3.90 substitution0:
% 3.52/3.90 X := X
% 3.52/3.90 Y := Z
% 3.52/3.90 Z := Y
% 3.52/3.90 T := T
% 3.52/3.90 end
% 3.52/3.90 permutation0:
% 3.52/3.90 0 ==> 1
% 3.52/3.90 1 ==> 0
% 3.52/3.90 end
% 3.52/3.90
% 3.52/3.90 resolution: (23128) {G1,W10,D2,L2,V4,M2} { cyclic( X, Z, Y, T ), ! cyclic
% 3.52/3.90 ( Y, X, Z, T ) }.
% 3.52/3.90 parent0[0]: (14) {G0,W10,D2,L2,V4,M2} I { ! cyclic( X, Y, Z, T ), cyclic( X
% 3.52/3.90 , Z, Y, T ) }.
% 3.52/3.90 parent1[1]: (15) {G0,W10,D2,L2,V4,M2} I { ! cyclic( X, Y, Z, T ), cyclic( Y
% 3.52/3.90 , X, Z, T ) }.
% 3.52/3.90 substitution0:
% 3.52/3.90 X := X
% 3.52/3.90 Y := Y
% 3.52/3.90 Z := Z
% 3.52/3.90 T := T
% 3.52/3.90 end
% 3.52/3.90 substitution1:
% 3.52/3.90 X := Y
% 3.52/3.90 Y := X
% 3.52/3.90 Z := Z
% 3.52/3.90 T := T
% 3.52/3.90 end
% 3.52/3.90
% 3.52/3.90 subsumption: (365) {G1,W10,D2,L2,V4,M2} R(15,14) { ! cyclic( X, Y, Z, T ),
% 3.52/3.90 cyclic( Y, Z, X, T ) }.
% 3.52/3.90 parent0: (23128) {G1,W10,D2,L2,V4,M2} { cyclic( X, Z, Y, T ), ! cyclic( Y
% 3.52/3.90 , X, Z, T ) }.
% 3.52/3.90 substitution0:
% 3.52/3.90 X := Y
% 3.52/3.90 Y := X
% 3.52/3.90 Z := Z
% 3.52/3.90 T := T
% 3.52/3.90 end
% 3.52/3.90 permutation0:
% 3.52/3.90 0 ==> 1
% 3.52/3.90 1 ==> 0
% 3.52/3.90 end
% 3.52/3.90
% 3.52/3.90 resolution: (23130) {G1,W15,D2,L3,V5,M3} { ! cyclic( X, Y, Z, T ), cyclic
% 3.52/3.90 ( Y, Z, T, U ), ! cyclic( X, Y, U, Z ) }.
% 3.52/3.90 parent0[1]: (16) {G0,W15,D2,L3,V5,M3} I { ! cyclic( U, X, Y, Z ), ! cyclic
% 3.52/3.90 ( U, X, Y, T ), cyclic( X, Y, Z, T ) }.
% 3.52/3.90 parent1[1]: (13) {G0,W10,D2,L2,V4,M2} I { ! cyclic( X, Y, Z, T ), cyclic( X
% 3.52/3.90 , Y, T, Z ) }.
% 3.52/3.90 substitution0:
% 3.52/3.90 X := Y
% 3.52/3.90 Y := Z
% 3.52/3.90 Z := T
% 3.52/3.90 T := U
% 3.52/3.90 U := X
% 3.52/3.90 end
% 3.52/3.90 substitution1:
% 3.52/3.90 X := X
% 3.52/3.90 Y := Y
% 3.52/3.90 Z := U
% 3.52/3.90 T := Z
% 3.52/3.90 end
% 3.52/3.90
% 3.52/3.90 subsumption: (390) {G1,W15,D2,L3,V5,M3} R(16,13) { ! cyclic( X, Y, Z, T ),
% 3.52/3.90 cyclic( Y, Z, T, U ), ! cyclic( X, Y, U, Z ) }.
% 3.52/3.90 parent0: (23130) {G1,W15,D2,L3,V5,M3} { ! cyclic( X, Y, Z, T ), cyclic( Y
% 3.52/3.90 , Z, T, U ), ! cyclic( X, Y, U, Z ) }.
% 3.52/3.90 substitution0:
% 3.52/3.90 X := X
% 3.52/3.90 Y := Y
% 3.52/3.90 Z := Z
% 3.52/3.90 T := T
% 3.52/3.90 U := U
% 3.52/3.90 end
% 3.52/3.90 permutation0:
% 3.52/3.90 0 ==> 0
% 3.52/3.90 1 ==> 1
% 3.52/3.90 2 ==> 2
% 3.52/3.90 end
% 3.52/3.90
% 3.52/3.90 resolution: (23133) {G1,W8,D2,L2,V3,M2} { coll( Y, X, X ), ! coll( X, Z, Y
% 3.52/3.90 ) }.
% 3.52/3.90 parent0[0]: (1) {G0,W8,D2,L2,V3,M2} I { ! coll( X, Y, Z ), coll( Y, X, Z )
% 3.52/3.90 }.
% 3.52/3.90 parent1[0]: (224) {G4,W8,D2,L2,V3,M2} F(211) { coll( X, Y, X ), ! coll( X,
% 3.52/3.90 Z, Y ) }.
% 3.52/3.90 substitution0:
% 3.52/3.90 X := X
% 3.52/3.90 Y := Y
% 3.52/3.90 Z := X
% 3.52/3.90 end
% 3.52/3.90 substitution1:
% 3.52/3.90 X := X
% 3.52/3.90 Y := Y
% 3.52/3.90 Z := Z
% 3.52/3.90 end
% 3.52/3.90
% 3.52/3.90 subsumption: (412) {G5,W8,D2,L2,V3,M2} R(224,1) { ! coll( X, Y, Z ), coll(
% 3.52/3.90 Z, X, X ) }.
% 3.52/3.90 parent0: (23133) {G1,W8,D2,L2,V3,M2} { coll( Y, X, X ), ! coll( X, Z, Y )
% 3.52/3.90 }.
% 3.52/3.90 substitution0:
% 3.52/3.90 X := X
% 3.52/3.90 Y := Z
% 3.52/3.90 Z := Y
% 3.52/3.90 end
% 3.52/3.90 permutation0:
% 3.52/3.90 0 ==> 1
% 3.52/3.90 1 ==> 0
% 3.52/3.90 end
% 3.52/3.90
% 3.52/3.90 resolution: (23134) {G1,W8,D2,L2,V3,M2} { coll( Z, X, X ), ! coll( Y, X, Z
% 3.52/3.90 ) }.
% 3.52/3.90 parent0[0]: (412) {G5,W8,D2,L2,V3,M2} R(224,1) { ! coll( X, Y, Z ), coll( Z
% 3.52/3.90 , X, X ) }.
% 3.52/3.90 parent1[1]: (1) {G0,W8,D2,L2,V3,M2} I { ! coll( X, Y, Z ), coll( Y, X, Z )
% 3.52/3.90 }.
% 3.52/3.90 substitution0:
% 3.52/3.90 X := X
% 3.52/3.90 Y := Y
% 3.52/3.90 Z := Z
% 3.52/3.90 end
% 3.52/3.90 substitution1:
% 3.52/3.90 X := Y
% 3.52/3.90 Y := X
% 3.52/3.90 Z := Z
% 3.52/3.90 end
% 3.52/3.90
% 3.52/3.90 subsumption: (417) {G6,W8,D2,L2,V3,M2} R(412,1) { coll( X, Y, Y ), ! coll(
% 3.52/3.90 Z, Y, X ) }.
% 3.52/3.90 parent0: (23134) {G1,W8,D2,L2,V3,M2} { coll( Z, X, X ), ! coll( Y, X, Z )
% 3.52/3.90 }.
% 3.52/3.90 substitution0:
% 3.52/3.90 X := Y
% 3.52/3.90 Y := Z
% 3.52/3.90 Z := X
% 3.52/3.90 end
% 3.52/3.90 permutation0:
% 3.52/3.90 0 ==> 0
% 3.52/3.90 1 ==> 1
% 3.52/3.90 end
% 3.52/3.90
% 3.52/3.90 resolution: (23135) {G1,W8,D2,L2,V3,M2} { coll( Z, X, X ), ! coll( X, Z, Y
% 3.52/3.90 ) }.
% 3.52/3.90 parent0[0]: (412) {G5,W8,D2,L2,V3,M2} R(224,1) { ! coll( X, Y, Z ), coll( Z
% 3.52/3.90 , X, X ) }.
% 3.52/3.90 parent1[1]: (0) {G0,W8,D2,L2,V3,M2} I { ! coll( X, Y, Z ), coll( X, Z, Y )
% 3.52/3.90 }.
% 3.52/3.90 substitution0:
% 3.52/3.90 X := X
% 3.52/3.90 Y := Y
% 3.52/3.90 Z := Z
% 3.52/3.90 end
% 3.52/3.90 substitution1:
% 3.52/3.90 X := X
% 3.52/3.90 Y := Z
% 3.52/3.90 Z := Y
% 3.52/3.90 end
% 3.52/3.90
% 3.52/3.90 subsumption: (418) {G6,W8,D2,L2,V3,M2} R(412,0) { coll( X, Y, Y ), ! coll(
% 3.52/3.90 Y, X, Z ) }.
% 3.52/3.90 parent0: (23135) {G1,W8,D2,L2,V3,M2} { coll( Z, X, X ), ! coll( X, Z, Y )
% 3.52/3.90 }.
% 3.52/3.90 substitution0:
% 3.52/3.90 X := Y
% 3.52/3.90 Y := Z
% 3.52/3.90 Z := X
% 3.52/3.90 end
% 3.52/3.90 permutation0:
% 3.52/3.90 0 ==> 0
% 3.52/3.90 1 ==> 1
% 3.52/3.90 end
% 3.52/3.90
% 3.52/3.90 resolution: (23136) {G1,W18,D2,L2,V8,M2} { eqangle( U, W, V0, V1, X, Y, Z
% 3.52/3.90 , T ), ! eqangle( Z, T, X, Y, V0, V1, U, W ) }.
% 3.52/3.90 parent0[0]: (19) {G0,W18,D2,L2,V8,M2} I { ! eqangle( X, Y, Z, T, U, W, V0,
% 3.52/3.90 V1 ), eqangle( U, W, V0, V1, X, Y, Z, T ) }.
% 3.52/3.90 parent1[1]: (18) {G0,W18,D2,L2,V8,M2} I { ! eqangle( X, Y, Z, T, U, W, V0,
% 3.52/3.90 V1 ), eqangle( Z, T, X, Y, V0, V1, U, W ) }.
% 3.52/3.90 substitution0:
% 3.52/3.90 X := X
% 3.52/3.90 Y := Y
% 3.52/3.90 Z := Z
% 3.52/3.90 T := T
% 3.52/3.90 U := U
% 3.52/3.90 W := W
% 3.52/3.90 V0 := V0
% 3.52/3.90 V1 := V1
% 3.52/3.90 end
% 3.52/3.90 substitution1:
% 3.52/3.90 X := Z
% 3.52/3.90 Y := T
% 3.52/3.90 Z := X
% 3.52/3.90 T := Y
% 3.52/3.90 U := V0
% 3.52/3.90 W := V1
% 3.52/3.90 V0 := U
% 3.52/3.90 V1 := W
% 3.52/3.90 end
% 3.52/3.90
% 3.52/3.90 subsumption: (422) {G1,W18,D2,L2,V8,M2} R(19,18) { eqangle( X, Y, Z, T, U,
% 3.52/3.90 W, V0, V1 ), ! eqangle( V0, V1, U, W, Z, T, X, Y ) }.
% 3.52/3.90 parent0: (23136) {G1,W18,D2,L2,V8,M2} { eqangle( U, W, V0, V1, X, Y, Z, T
% 3.52/3.90 ), ! eqangle( Z, T, X, Y, V0, V1, U, W ) }.
% 3.52/3.90 substitution0:
% 3.52/3.90 X := U
% 3.52/3.90 Y := W
% 3.52/3.90 Z := V0
% 3.52/3.90 T := V1
% 3.52/3.90 U := X
% 3.52/3.90 W := Y
% 3.52/3.90 V0 := Z
% 3.52/3.90 V1 := T
% 3.52/3.90 end
% 3.52/3.90 permutation0:
% 3.52/3.90 0 ==> 0
% 3.52/3.90 1 ==> 1
% 3.52/3.90 end
% 3.52/3.90
% 3.52/3.90 resolution: (23137) {G1,W18,D2,L2,V8,M2} { eqangle( U, W, V0, V1, X, Y, Z
% 3.52/3.90 , T ), ! eqangle( Y, X, Z, T, U, W, V0, V1 ) }.
% 3.52/3.90 parent0[0]: (19) {G0,W18,D2,L2,V8,M2} I { ! eqangle( X, Y, Z, T, U, W, V0,
% 3.52/3.90 V1 ), eqangle( U, W, V0, V1, X, Y, Z, T ) }.
% 3.52/3.90 parent1[1]: (17) {G0,W18,D2,L2,V8,M2} I { ! eqangle( X, Y, Z, T, U, W, V0,
% 3.52/3.90 V1 ), eqangle( Y, X, Z, T, U, W, V0, V1 ) }.
% 3.52/3.90 substitution0:
% 3.52/3.90 X := X
% 3.52/3.90 Y := Y
% 3.52/3.90 Z := Z
% 3.52/3.90 T := T
% 3.52/3.90 U := U
% 3.52/3.90 W := W
% 3.52/3.90 V0 := V0
% 3.52/3.90 V1 := V1
% 3.52/3.90 end
% 3.52/3.90 substitution1:
% 3.52/3.90 X := Y
% 3.52/3.90 Y := X
% 3.52/3.90 Z := Z
% 3.52/3.90 T := T
% 3.52/3.90 U := U
% 3.52/3.90 W := W
% 3.52/3.90 V0 := V0
% 3.52/3.90 V1 := V1
% 3.52/3.90 end
% 3.52/3.90
% 3.52/3.90 subsumption: (423) {G1,W18,D2,L2,V8,M2} R(19,17) { eqangle( X, Y, Z, T, U,
% 3.52/3.90 W, V0, V1 ), ! eqangle( W, U, V0, V1, X, Y, Z, T ) }.
% 3.52/3.90 parent0: (23137) {G1,W18,D2,L2,V8,M2} { eqangle( U, W, V0, V1, X, Y, Z, T
% 3.52/3.90 ), ! eqangle( Y, X, Z, T, U, W, V0, V1 ) }.
% 3.52/3.90 substitution0:
% 3.52/3.90 X := U
% 3.52/3.90 Y := W
% 3.52/3.90 Z := V0
% 3.52/3.90 T := V1
% 3.52/3.90 U := X
% 3.52/3.90 W := Y
% 3.52/3.90 V0 := Z
% 3.52/3.90 V1 := T
% 3.52/3.90 end
% 3.52/3.90 permutation0:
% 3.52/3.90 0 ==> 0
% 3.52/3.90 1 ==> 1
% 3.52/3.90 end
% 3.52/3.90
% 3.52/3.90 resolution: (23139) {G1,W18,D2,L2,V8,M2} { eqangle( Y, X, Z, T, U, W, V0,
% 3.52/3.90 V1 ), ! eqangle( U, W, V0, V1, X, Y, Z, T ) }.
% 3.52/3.90 parent0[0]: (17) {G0,W18,D2,L2,V8,M2} I { ! eqangle( X, Y, Z, T, U, W, V0,
% 3.52/3.90 V1 ), eqangle( Y, X, Z, T, U, W, V0, V1 ) }.
% 3.52/3.90 parent1[1]: (19) {G0,W18,D2,L2,V8,M2} I { ! eqangle( X, Y, Z, T, U, W, V0,
% 3.52/3.90 V1 ), eqangle( U, W, V0, V1, X, Y, Z, T ) }.
% 3.52/3.90 substitution0:
% 3.52/3.90 X := X
% 3.52/3.90 Y := Y
% 3.52/3.90 Z := Z
% 3.52/3.90 T := T
% 3.52/3.90 U := U
% 3.52/3.90 W := W
% 3.52/3.90 V0 := V0
% 3.52/3.90 V1 := V1
% 3.52/3.90 end
% 3.52/3.90 substitution1:
% 3.52/3.90 X := U
% 3.52/3.90 Y := W
% 3.52/3.90 Z := V0
% 3.52/3.90 T := V1
% 3.52/3.90 U := X
% 3.52/3.90 W := Y
% 3.52/3.90 V0 := Z
% 3.52/3.90 V1 := T
% 3.52/3.90 end
% 3.52/3.90
% 3.52/3.90 subsumption: (424) {G1,W18,D2,L2,V8,M2} R(19,17) { ! eqangle( X, Y, Z, T, U
% 3.52/3.90 , W, V0, V1 ), eqangle( W, U, V0, V1, X, Y, Z, T ) }.
% 3.52/3.90 parent0: (23139) {G1,W18,D2,L2,V8,M2} { eqangle( Y, X, Z, T, U, W, V0, V1
% 3.52/3.90 ), ! eqangle( U, W, V0, V1, X, Y, Z, T ) }.
% 3.52/3.90 substitution0:
% 3.52/3.90 X := U
% 3.52/3.90 Y := W
% 3.52/3.90 Z := V0
% 3.52/3.90 T := V1
% 3.52/3.90 U := X
% 3.52/3.90 W := Y
% 3.52/3.90 V0 := Z
% 3.52/3.90 V1 := T
% 3.52/3.90 end
% 3.52/3.90 permutation0:
% 3.52/3.90 0 ==> 1
% 3.52/3.90 1 ==> 0
% 3.52/3.90 end
% 3.52/3.90
% 3.52/3.90 resolution: (23140) {G7,W8,D2,L2,V3,M2} { coll( X, Y, Y ), ! coll( X, Y, Z
% 3.52/3.90 ) }.
% 3.52/3.90 parent0[1]: (418) {G6,W8,D2,L2,V3,M2} R(412,0) { coll( X, Y, Y ), ! coll( Y
% 3.52/3.90 , X, Z ) }.
% 3.52/3.90 parent1[0]: (418) {G6,W8,D2,L2,V3,M2} R(412,0) { coll( X, Y, Y ), ! coll( Y
% 3.52/3.90 , X, Z ) }.
% 3.52/3.90 substitution0:
% 3.52/3.90 X := X
% 3.52/3.90 Y := Y
% 3.52/3.90 Z := X
% 3.52/3.90 end
% 3.52/3.90 substitution1:
% 3.52/3.90 X := Y
% 3.52/3.90 Y := X
% 3.52/3.90 Z := Z
% 3.52/3.90 end
% 3.52/3.90
% 3.52/3.90 subsumption: (425) {G7,W8,D2,L2,V3,M2} R(418,418) { ! coll( X, Y, Z ), coll
% 3.52/3.90 ( X, Y, Y ) }.
% 3.52/3.90 parent0: (23140) {G7,W8,D2,L2,V3,M2} { coll( X, Y, Y ), ! coll( X, Y, Z )
% 3.52/3.90 }.
% 3.52/3.90 substitution0:
% 3.52/3.90 X := X
% 3.52/3.90 Y := Y
% 3.52/3.90 Z := Z
% 3.52/3.90 end
% 3.52/3.90 permutation0:
% 3.52/3.90 0 ==> 1
% 3.52/3.90 1 ==> 0
% 3.52/3.90 end
% 3.52/3.90
% 3.52/3.90 resolution: (23144) {G1,W12,D2,L3,V4,M3} { ! coll( X, Y, Z ), coll( Z, Y,
% 3.52/3.90 X ), ! coll( X, Y, T ) }.
% 3.52/3.90 parent0[1]: (2) {G0,W12,D2,L3,V4,M3} I { ! coll( X, T, Y ), ! coll( X, T, Z
% 3.52/3.90 ), coll( Y, Z, X ) }.
% 3.52/3.90 parent1[1]: (425) {G7,W8,D2,L2,V3,M2} R(418,418) { ! coll( X, Y, Z ), coll
% 3.52/3.90 ( X, Y, Y ) }.
% 3.52/3.90 substitution0:
% 3.52/3.90 X := X
% 3.52/3.90 Y := Z
% 3.52/3.90 Z := Y
% 3.52/3.90 T := Y
% 3.52/3.90 end
% 3.52/3.90 substitution1:
% 3.52/3.90 X := X
% 3.52/3.90 Y := Y
% 3.52/3.90 Z := T
% 3.52/3.90 end
% 3.52/3.90
% 3.52/3.90 subsumption: (428) {G8,W12,D2,L3,V4,M3} R(425,2) { ! coll( X, Y, Z ), !
% 3.52/3.90 coll( X, Y, T ), coll( T, Y, X ) }.
% 3.52/3.90 parent0: (23144) {G1,W12,D2,L3,V4,M3} { ! coll( X, Y, Z ), coll( Z, Y, X )
% 3.52/3.90 , ! coll( X, Y, T ) }.
% 3.52/3.90 substitution0:
% 3.52/3.90 X := X
% 3.52/3.90 Y := Y
% 3.52/3.90 Z := T
% 3.52/3.90 T := Z
% 3.52/3.90 end
% 3.52/3.90 permutation0:
% 3.52/3.90 0 ==> 1
% 3.52/3.90 1 ==> 2
% 3.52/3.90 2 ==> 0
% 3.52/3.90 end
% 3.52/3.90
% 3.52/3.90 factor: (23147) {G8,W8,D2,L2,V3,M2} { ! coll( X, Y, Z ), coll( Z, Y, X )
% 3.52/3.90 }.
% 3.52/3.90 parent0[0, 1]: (428) {G8,W12,D2,L3,V4,M3} R(425,2) { ! coll( X, Y, Z ), !
% 3.52/3.90 coll( X, Y, T ), coll( T, Y, X ) }.
% 3.52/3.90 substitution0:
% 3.52/3.90 X := X
% 3.52/3.90 Y := Y
% 3.52/3.90 Z := Z
% 3.52/3.90 T := Z
% 3.52/3.90 end
% 3.52/3.90
% 3.52/3.90 subsumption: (429) {G9,W8,D2,L2,V3,M2} F(428) { ! coll( X, Y, Z ), coll( Z
% 3.52/3.90 , Y, X ) }.
% 3.52/3.90 parent0: (23147) {G8,W8,D2,L2,V3,M2} { ! coll( X, Y, Z ), coll( Z, Y, X )
% 3.52/3.90 }.
% 3.52/3.90 substitution0:
% 3.52/3.90 X := X
% 3.52/3.90 Y := Y
% 3.52/3.90 Z := Z
% 3.52/3.90 end
% 3.52/3.90 permutation0:
% 3.52/3.90 0 ==> 0
% 3.52/3.90 1 ==> 1
% 3.52/3.90 end
% 3.52/3.90
% 3.52/3.90 resolution: (23148) {G7,W8,D2,L2,V3,M2} { coll( Y, Y, X ), ! coll( Z, Y, X
% 3.52/3.90 ) }.
% 3.52/3.90 parent0[0]: (429) {G9,W8,D2,L2,V3,M2} F(428) { ! coll( X, Y, Z ), coll( Z,
% 3.52/3.90 Y, X ) }.
% 3.52/3.90 parent1[0]: (417) {G6,W8,D2,L2,V3,M2} R(412,1) { coll( X, Y, Y ), ! coll( Z
% 3.52/3.90 , Y, X ) }.
% 3.52/3.90 substitution0:
% 3.52/3.90 X := X
% 3.52/3.90 Y := Y
% 3.52/3.90 Z := Y
% 3.52/3.90 end
% 3.52/3.90 substitution1:
% 3.52/3.90 X := X
% 3.52/3.90 Y := Y
% 3.52/3.90 Z := Z
% 3.52/3.90 end
% 3.52/3.90
% 3.52/3.90 subsumption: (433) {G10,W8,D2,L2,V3,M2} R(429,417) { coll( X, X, Y ), !
% 3.52/3.90 coll( Z, X, Y ) }.
% 3.52/3.90 parent0: (23148) {G7,W8,D2,L2,V3,M2} { coll( Y, Y, X ), ! coll( Z, Y, X )
% 3.52/3.90 }.
% 3.52/3.90 substitution0:
% 3.52/3.90 X := Y
% 3.52/3.90 Y := X
% 3.52/3.90 Z := Z
% 3.52/3.90 end
% 3.52/3.90 permutation0:
% 3.52/3.90 0 ==> 0
% 3.52/3.90 1 ==> 1
% 3.52/3.90 end
% 3.52/3.90
% 3.52/3.90 resolution: (23149) {G1,W18,D2,L2,V8,M2} { eqangle( X, Y, U, W, Z, T, V0,
% 3.52/3.90 V1 ), ! eqangle( Y, X, Z, T, U, W, V0, V1 ) }.
% 3.52/3.90 parent0[0]: (20) {G0,W18,D2,L2,V8,M2} I { ! eqangle( X, Y, Z, T, U, W, V0,
% 3.52/3.90 V1 ), eqangle( X, Y, U, W, Z, T, V0, V1 ) }.
% 3.52/3.90 parent1[1]: (17) {G0,W18,D2,L2,V8,M2} I { ! eqangle( X, Y, Z, T, U, W, V0,
% 3.52/3.90 V1 ), eqangle( Y, X, Z, T, U, W, V0, V1 ) }.
% 3.52/3.90 substitution0:
% 3.52/3.90 X := X
% 3.52/3.90 Y := Y
% 3.52/3.90 Z := Z
% 3.52/3.90 T := T
% 3.52/3.90 U := U
% 3.52/3.90 W := W
% 3.52/3.90 V0 := V0
% 3.52/3.90 V1 := V1
% 3.52/3.90 end
% 3.52/3.90 substitution1:
% 3.52/3.90 X := Y
% 3.52/3.90 Y := X
% 3.52/3.90 Z := Z
% 3.52/3.90 T := T
% 3.52/3.90 U := U
% 3.52/3.90 W := W
% 3.52/3.90 V0 := V0
% 3.52/3.90 V1 := V1
% 3.52/3.90 end
% 3.52/3.90
% 3.52/3.90 subsumption: (442) {G1,W18,D2,L2,V8,M2} R(20,17) { eqangle( X, Y, Z, T, U,
% 3.52/3.90 W, V0, V1 ), ! eqangle( Y, X, U, W, Z, T, V0, V1 ) }.
% 3.52/3.90 parent0: (23149) {G1,W18,D2,L2,V8,M2} { eqangle( X, Y, U, W, Z, T, V0, V1
% 3.52/3.90 ), ! eqangle( Y, X, Z, T, U, W, V0, V1 ) }.
% 3.52/3.90 substitution0:
% 3.52/3.90 X := X
% 3.52/3.90 Y := Y
% 3.52/3.90 Z := U
% 3.52/3.90 T := W
% 3.52/3.90 U := Z
% 3.52/3.90 W := T
% 3.52/3.90 V0 := V0
% 3.52/3.90 V1 := V1
% 3.52/3.90 end
% 3.52/3.90 permutation0:
% 3.52/3.90 0 ==> 0
% 3.52/3.90 1 ==> 1
% 3.52/3.90 end
% 3.52/3.90
% 3.52/3.90 resolution: (23150) {G1,W8,D2,L2,V3,M2} { coll( X, X, Y ), ! midp( Z, X, Y
% 3.52/3.90 ) }.
% 3.52/3.90 parent0[1]: (433) {G10,W8,D2,L2,V3,M2} R(429,417) { coll( X, X, Y ), ! coll
% 3.52/3.90 ( Z, X, Y ) }.
% 3.52/3.90 parent1[1]: (69) {G0,W8,D2,L2,V3,M2} I { ! midp( X, Y, Z ), coll( X, Y, Z )
% 3.52/3.90 }.
% 3.52/3.90 substitution0:
% 3.52/3.90 X := X
% 3.52/3.90 Y := Y
% 3.52/3.90 Z := Z
% 3.52/3.90 end
% 3.52/3.90 substitution1:
% 3.52/3.90 X := Z
% 3.52/3.90 Y := X
% 3.52/3.90 Z := Y
% 3.52/3.90 end
% 3.52/3.90
% 3.52/3.90 subsumption: (484) {G11,W8,D2,L2,V3,M2} R(69,433) { ! midp( X, Y, Z ), coll
% 3.52/3.90 ( Y, Y, Z ) }.
% 3.52/3.90 parent0: (23150) {G1,W8,D2,L2,V3,M2} { coll( X, X, Y ), ! midp( Z, X, Y )
% 3.52/3.90 }.
% 3.52/3.90 substitution0:
% 3.52/3.90 X := Y
% 3.52/3.90 Y := Z
% 3.52/3.90 Z := X
% 3.52/3.90 end
% 3.52/3.90 permutation0:
% 3.52/3.90 0 ==> 1
% 3.52/3.90 1 ==> 0
% 3.52/3.90 end
% 3.52/3.90
% 3.52/3.90 resolution: (23151) {G1,W4,D2,L1,V0,M1} { coll( skol24, skol25, skol26 )
% 3.52/3.90 }.
% 3.52/3.90 parent0[0]: (69) {G0,W8,D2,L2,V3,M2} I { ! midp( X, Y, Z ), coll( X, Y, Z )
% 3.52/3.90 }.
% 3.52/3.90 parent1[0]: (314) {G1,W4,D2,L1,V0,M1} R(10,121) { midp( skol24, skol25,
% 3.52/3.90 skol26 ) }.
% 3.52/3.90 substitution0:
% 3.52/3.90 X := skol24
% 3.52/3.90 Y := skol25
% 3.52/3.90 Z := skol26
% 3.52/3.90 end
% 3.52/3.90 substitution1:
% 3.52/3.90 end
% 3.52/3.90
% 3.52/3.90 subsumption: (498) {G2,W4,D2,L1,V0,M1} R(69,314) { coll( skol24, skol25,
% 3.52/3.90 skol26 ) }.
% 3.52/3.90 parent0: (23151) {G1,W4,D2,L1,V0,M1} { coll( skol24, skol25, skol26 ) }.
% 3.52/3.90 substitution0:
% 3.52/3.90 end
% 3.52/3.90 permutation0:
% 3.52/3.90 0 ==> 0
% 3.52/3.90 end
% 3.52/3.90
% 3.52/3.90 resolution: (23152) {G1,W8,D2,L2,V3,M2} { coll( Y, X, Z ), ! midp( X, Y, Z
% 3.52/3.90 ) }.
% 3.52/3.90 parent0[0]: (1) {G0,W8,D2,L2,V3,M2} I { ! coll( X, Y, Z ), coll( Y, X, Z )
% 3.52/3.90 }.
% 3.52/3.90 parent1[1]: (69) {G0,W8,D2,L2,V3,M2} I { ! midp( X, Y, Z ), coll( X, Y, Z )
% 3.52/3.90 }.
% 3.52/3.90 substitution0:
% 3.52/3.90 X := X
% 3.52/3.90 Y := Y
% 3.52/3.90 Z := Z
% 3.52/3.90 end
% 3.52/3.90 substitution1:
% 3.52/3.90 X := X
% 3.52/3.90 Y := Y
% 3.52/3.90 Z := Z
% 3.52/3.90 end
% 3.52/3.90
% 3.52/3.90 subsumption: (503) {G1,W8,D2,L2,V3,M2} R(69,1) { ! midp( X, Y, Z ), coll( Y
% 3.52/3.90 , X, Z ) }.
% 3.52/3.90 parent0: (23152) {G1,W8,D2,L2,V3,M2} { coll( Y, X, Z ), ! midp( X, Y, Z )
% 3.52/3.90 }.
% 3.52/3.90 substitution0:
% 3.52/3.90 X := X
% 3.52/3.90 Y := Y
% 3.52/3.90 Z := Z
% 3.52/3.90 end
% 3.52/3.90 permutation0:
% 3.52/3.90 0 ==> 1
% 3.52/3.90 1 ==> 0
% 3.52/3.90 end
% 3.52/3.90
% 3.52/3.90 resolution: (23153) {G1,W4,D2,L1,V0,M1} { coll( skol24, skol26, skol25 )
% 3.52/3.90 }.
% 3.52/3.90 parent0[0]: (69) {G0,W8,D2,L2,V3,M2} I { ! midp( X, Y, Z ), coll( X, Y, Z )
% 3.52/3.90 }.
% 3.52/3.90 parent1[0]: (121) {G0,W4,D2,L1,V0,M1} I { midp( skol24, skol26, skol25 )
% 3.52/3.90 }.
% 3.52/3.90 substitution0:
% 3.52/3.90 X := skol24
% 3.52/3.90 Y := skol26
% 3.52/3.90 Z := skol25
% 3.52/3.90 end
% 3.52/3.90 substitution1:
% 3.52/3.90 end
% 3.52/3.90
% 3.52/3.90 subsumption: (504) {G1,W4,D2,L1,V0,M1} R(69,121) { coll( skol24, skol26,
% 3.52/3.90 skol25 ) }.
% 3.52/3.90 parent0: (23153) {G1,W4,D2,L1,V0,M1} { coll( skol24, skol26, skol25 ) }.
% 3.52/3.90 substitution0:
% 3.52/3.90 end
% 3.52/3.90 permutation0:
% 3.52/3.90 0 ==> 0
% 3.52/3.90 end
% 3.52/3.90
% 3.52/3.90 resolution: (23154) {G1,W4,D2,L1,V0,M1} { coll( skol25, skol24, skol26 )
% 3.52/3.90 }.
% 3.52/3.90 parent0[0]: (1) {G0,W8,D2,L2,V3,M2} I { ! coll( X, Y, Z ), coll( Y, X, Z )
% 3.52/3.90 }.
% 3.52/3.90 parent1[0]: (498) {G2,W4,D2,L1,V0,M1} R(69,314) { coll( skol24, skol25,
% 3.52/3.90 skol26 ) }.
% 3.52/3.90 substitution0:
% 3.52/3.90 X := skol24
% 3.52/3.90 Y := skol25
% 3.52/3.90 Z := skol26
% 3.52/3.90 end
% 3.52/3.90 substitution1:
% 3.52/3.90 end
% 3.52/3.90
% 3.52/3.90 subsumption: (538) {G3,W4,D2,L1,V0,M1} R(498,1) { coll( skol25, skol24,
% 3.52/3.90 skol26 ) }.
% 3.52/3.90 parent0: (23154) {G1,W4,D2,L1,V0,M1} { coll( skol25, skol24, skol26 ) }.
% 3.52/3.90 substitution0:
% 3.52/3.90 end
% 3.52/3.90 permutation0:
% 3.52/3.90 0 ==> 0
% 3.52/3.90 end
% 3.52/3.90
% 3.52/3.90 resolution: (23156) {G1,W15,D2,L3,V6,M3} { ! cong( X, Y, Z, T ), cong( X,
% 3.52/3.90 Y, U, W ), ! cong( U, W, Z, T ) }.
% 3.52/3.90 parent0[1]: (24) {G0,W15,D2,L3,V6,M3} I { ! cong( X, Y, U, W ), ! cong( U,
% 3.52/3.90 W, Z, T ), cong( X, Y, Z, T ) }.
% 3.52/3.90 parent1[1]: (23) {G0,W10,D2,L2,V4,M2} I { ! cong( X, Y, Z, T ), cong( Z, T
% 3.52/3.90 , X, Y ) }.
% 3.52/3.90 substitution0:
% 3.52/3.90 X := X
% 3.52/3.90 Y := Y
% 3.52/3.90 Z := U
% 3.52/3.90 T := W
% 3.52/3.90 U := Z
% 3.52/3.90 W := T
% 3.52/3.90 end
% 3.52/3.90 substitution1:
% 3.52/3.90 X := U
% 3.52/3.90 Y := W
% 3.52/3.90 Z := Z
% 3.52/3.90 T := T
% 3.52/3.90 end
% 3.52/3.90
% 3.52/3.90 subsumption: (548) {G1,W15,D2,L3,V6,M3} R(24,23) { ! cong( X, Y, Z, T ),
% 3.52/3.90 cong( X, Y, U, W ), ! cong( U, W, Z, T ) }.
% 3.52/3.90 parent0: (23156) {G1,W15,D2,L3,V6,M3} { ! cong( X, Y, Z, T ), cong( X, Y,
% 3.52/3.90 U, W ), ! cong( U, W, Z, T ) }.
% 3.52/3.90 substitution0:
% 3.52/3.90 X := X
% 3.52/3.90 Y := Y
% 3.52/3.90 Z := Z
% 3.52/3.90 T := T
% 3.52/3.90 U := U
% 3.52/3.90 W := W
% 3.52/3.90 end
% 3.52/3.90 permutation0:
% 3.52/3.90 0 ==> 0
% 3.52/3.90 1 ==> 1
% 3.52/3.90 2 ==> 2
% 3.52/3.90 end
% 3.52/3.90
% 3.52/3.90 factor: (23159) {G1,W10,D2,L2,V4,M2} { ! cong( X, Y, Z, T ), cong( X, Y, X
% 3.52/3.90 , Y ) }.
% 3.52/3.90 parent0[0, 2]: (548) {G1,W15,D2,L3,V6,M3} R(24,23) { ! cong( X, Y, Z, T ),
% 3.52/3.90 cong( X, Y, U, W ), ! cong( U, W, Z, T ) }.
% 3.52/3.90 substitution0:
% 3.52/3.90 X := X
% 3.52/3.90 Y := Y
% 3.52/3.90 Z := Z
% 3.52/3.90 T := T
% 3.52/3.90 U := X
% 3.52/3.90 W := Y
% 3.52/3.90 end
% 3.52/3.90
% 3.52/3.90 subsumption: (559) {G2,W10,D2,L2,V4,M2} F(548) { ! cong( X, Y, Z, T ), cong
% 3.52/3.90 ( X, Y, X, Y ) }.
% 3.52/3.90 parent0: (23159) {G1,W10,D2,L2,V4,M2} { ! cong( X, Y, Z, T ), cong( X, Y,
% 3.52/3.90 X, Y ) }.
% 3.52/3.90 substitution0:
% 3.52/3.90 X := X
% 3.52/3.90 Y := Y
% 3.52/3.90 Z := Z
% 3.52/3.90 T := T
% 3.52/3.90 end
% 3.52/3.90 permutation0:
% 3.52/3.90 0 ==> 0
% 3.52/3.90 1 ==> 1
% 3.52/3.90 end
% 3.52/3.90
% 3.52/3.90 resolution: (23160) {G1,W8,D2,L2,V1,M2} { ! coll( skol25, skol24, X ),
% 3.52/3.90 coll( skol26, X, skol25 ) }.
% 3.52/3.90 parent0[0]: (2) {G0,W12,D2,L3,V4,M3} I { ! coll( X, T, Y ), ! coll( X, T, Z
% 3.52/3.90 ), coll( Y, Z, X ) }.
% 3.52/3.90 parent1[0]: (538) {G3,W4,D2,L1,V0,M1} R(498,1) { coll( skol25, skol24,
% 3.52/3.90 skol26 ) }.
% 3.52/3.90 substitution0:
% 3.52/3.90 X := skol25
% 3.52/3.90 Y := skol26
% 3.52/3.90 Z := X
% 3.52/3.90 T := skol24
% 3.52/3.90 end
% 3.52/3.90 substitution1:
% 3.52/3.90 end
% 3.52/3.90
% 3.52/3.90 subsumption: (581) {G4,W8,D2,L2,V1,M2} R(538,2) { ! coll( skol25, skol24, X
% 3.52/3.90 ), coll( skol26, X, skol25 ) }.
% 3.52/3.90 parent0: (23160) {G1,W8,D2,L2,V1,M2} { ! coll( skol25, skol24, X ), coll(
% 3.52/3.90 skol26, X, skol25 ) }.
% 3.52/3.90 substitution0:
% 3.52/3.90 X := X
% 3.52/3.90 end
% 3.52/3.90 permutation0:
% 3.52/3.90 0 ==> 0
% 3.52/3.90 1 ==> 1
% 3.52/3.90 end
% 3.52/3.90
% 3.52/3.90 resolution: (23162) {G1,W8,D2,L2,V1,M2} { ! coll( skol24, skol26, X ),
% 3.52/3.90 coll( skol25, X, skol24 ) }.
% 3.52/3.90 parent0[0]: (2) {G0,W12,D2,L3,V4,M3} I { ! coll( X, T, Y ), ! coll( X, T, Z
% 3.52/3.90 ), coll( Y, Z, X ) }.
% 3.52/3.90 parent1[0]: (504) {G1,W4,D2,L1,V0,M1} R(69,121) { coll( skol24, skol26,
% 3.52/3.90 skol25 ) }.
% 3.52/3.90 substitution0:
% 3.52/3.90 X := skol24
% 3.52/3.90 Y := skol25
% 3.52/3.90 Z := X
% 3.52/3.90 T := skol26
% 3.52/3.90 end
% 3.52/3.90 substitution1:
% 3.52/3.90 end
% 3.52/3.90
% 3.52/3.90 subsumption: (595) {G2,W8,D2,L2,V1,M2} R(504,2) { ! coll( skol24, skol26, X
% 3.52/3.90 ), coll( skol25, X, skol24 ) }.
% 3.52/3.90 parent0: (23162) {G1,W8,D2,L2,V1,M2} { ! coll( skol24, skol26, X ), coll(
% 3.52/3.90 skol25, X, skol24 ) }.
% 3.52/3.90 substitution0:
% 3.52/3.90 X := X
% 3.52/3.90 end
% 3.52/3.90 permutation0:
% 3.52/3.90 0 ==> 0
% 3.52/3.90 1 ==> 1
% 3.52/3.90 end
% 3.52/3.90
% 3.52/3.90 resolution: (23164) {G2,W8,D2,L2,V1,M2} { coll( skol25, X, skol24 ), !
% 3.52/3.90 coll( X, skol24, skol26 ) }.
% 3.52/3.90 parent0[0]: (595) {G2,W8,D2,L2,V1,M2} R(504,2) { ! coll( skol24, skol26, X
% 3.52/3.90 ), coll( skol25, X, skol24 ) }.
% 3.52/3.90 parent1[1]: (165) {G1,W8,D2,L2,V3,M2} R(1,0) { ! coll( X, Y, Z ), coll( Y,
% 3.52/3.90 Z, X ) }.
% 3.52/3.90 substitution0:
% 3.52/3.90 X := X
% 3.52/3.90 end
% 3.52/3.90 substitution1:
% 3.52/3.90 X := X
% 3.52/3.90 Y := skol24
% 3.52/3.90 Z := skol26
% 3.52/3.90 end
% 3.52/3.90
% 3.52/3.90 subsumption: (650) {G3,W8,D2,L2,V1,M2} R(595,165) { coll( skol25, X, skol24
% 3.52/3.90 ), ! coll( X, skol24, skol26 ) }.
% 3.52/3.90 parent0: (23164) {G2,W8,D2,L2,V1,M2} { coll( skol25, X, skol24 ), ! coll(
% 3.52/3.90 X, skol24, skol26 ) }.
% 3.52/3.90 substitution0:
% 3.52/3.90 X := X
% 3.52/3.90 end
% 3.52/3.90 permutation0:
% 3.52/3.90 0 ==> 0
% 3.52/3.90 1 ==> 1
% 3.52/3.90 end
% 3.52/3.90
% 3.52/3.90 resolution: (23165) {G1,W14,D2,L3,V3,M3} { ! coll( X, X, Z ), cyclic( Y, Z
% 3.52/3.90 , X, X ), ! para( X, Y, X, Y ) }.
% 3.52/3.90 parent0[0]: (42) {G0,W18,D2,L3,V4,M3} I { ! eqangle( Z, X, Z, Y, T, X, T, Y
% 3.52/3.90 ), ! coll( Z, T, Y ), cyclic( X, Y, Z, T ) }.
% 3.52/3.90 parent1[1]: (39) {G0,W14,D2,L2,V6,M2} I { ! para( X, Y, Z, T ), eqangle( X
% 3.52/3.90 , Y, U, W, Z, T, U, W ) }.
% 3.52/3.90 substitution0:
% 3.52/3.90 X := Y
% 3.52/3.90 Y := Z
% 3.52/3.90 Z := X
% 3.52/3.90 T := X
% 3.52/3.90 end
% 3.52/3.90 substitution1:
% 3.52/3.90 X := X
% 3.52/3.90 Y := Y
% 3.52/3.90 Z := X
% 3.52/3.90 T := Y
% 3.52/3.90 U := X
% 3.52/3.90 W := Z
% 3.52/3.90 end
% 3.52/3.90
% 3.52/3.90 subsumption: (783) {G1,W14,D2,L3,V3,M3} R(42,39) { ! coll( X, X, Y ),
% 3.52/3.90 cyclic( Z, Y, X, X ), ! para( X, Z, X, Z ) }.
% 3.52/3.90 parent0: (23165) {G1,W14,D2,L3,V3,M3} { ! coll( X, X, Z ), cyclic( Y, Z, X
% 3.52/3.90 , X ), ! para( X, Y, X, Y ) }.
% 3.52/3.90 substitution0:
% 3.52/3.90 X := X
% 3.52/3.90 Y := Z
% 3.52/3.90 Z := Y
% 3.52/3.90 end
% 3.52/3.90 permutation0:
% 3.52/3.90 0 ==> 0
% 3.52/3.90 1 ==> 1
% 3.52/3.90 2 ==> 2
% 3.52/3.90 end
% 3.52/3.90
% 3.52/3.90 resolution: (23166) {G1,W25,D2,L5,V4,M5} { ! cyclic( X, Y, Z, X ), !
% 3.52/3.90 cyclic( X, Y, Z, Y ), ! cyclic( X, Y, Z, T ), cong( X, Y, X, Y ), !
% 3.52/3.90 cyclic( X, Y, Z, T ) }.
% 3.52/3.90 parent0[3]: (43) {G0,W29,D2,L5,V6,M5} I { ! cyclic( X, Y, U, Z ), ! cyclic
% 3.52/3.90 ( X, Y, U, T ), ! cyclic( X, Y, U, W ), ! eqangle( U, X, U, Y, W, Z, W, T
% 3.52/3.90 ), cong( X, Y, Z, T ) }.
% 3.52/3.90 parent1[1]: (40) {G0,W14,D2,L2,V4,M2} I { ! cyclic( X, Y, Z, T ), eqangle(
% 3.52/3.90 Z, X, Z, Y, T, X, T, Y ) }.
% 3.52/3.90 substitution0:
% 3.52/3.90 X := X
% 3.52/3.90 Y := Y
% 3.52/3.90 Z := X
% 3.52/3.90 T := Y
% 3.52/3.90 U := Z
% 3.52/3.90 W := T
% 3.52/3.90 end
% 3.52/3.90 substitution1:
% 3.52/3.90 X := X
% 3.52/3.90 Y := Y
% 3.52/3.90 Z := Z
% 3.52/3.90 T := T
% 3.52/3.90 end
% 3.52/3.90
% 3.52/3.90 factor: (23168) {G1,W20,D2,L4,V3,M4} { ! cyclic( X, Y, Z, X ), ! cyclic( X
% 3.52/3.90 , Y, Z, Y ), cong( X, Y, X, Y ), ! cyclic( X, Y, Z, X ) }.
% 3.52/3.90 parent0[0, 2]: (23166) {G1,W25,D2,L5,V4,M5} { ! cyclic( X, Y, Z, X ), !
% 3.52/3.90 cyclic( X, Y, Z, Y ), ! cyclic( X, Y, Z, T ), cong( X, Y, X, Y ), !
% 3.52/3.90 cyclic( X, Y, Z, T ) }.
% 3.52/3.90 substitution0:
% 3.52/3.90 X := X
% 3.52/3.90 Y := Y
% 3.52/3.90 Z := Z
% 3.52/3.90 T := X
% 3.52/3.90 end
% 3.52/3.90
% 3.52/3.90 subsumption: (913) {G1,W20,D2,L4,V4,M4} R(43,40);f { ! cyclic( X, Y, Z, X )
% 3.52/3.90 , ! cyclic( X, Y, Z, Y ), ! cyclic( X, Y, Z, T ), cong( X, Y, X, Y ) }.
% 3.52/3.90 parent0: (23168) {G1,W20,D2,L4,V3,M4} { ! cyclic( X, Y, Z, X ), ! cyclic(
% 3.52/3.90 X, Y, Z, Y ), cong( X, Y, X, Y ), ! cyclic( X, Y, Z, X ) }.
% 3.52/3.90 substitution0:
% 3.52/3.90 X := X
% 3.52/3.90 Y := Y
% 3.52/3.90 Z := Z
% 3.52/3.90 end
% 3.52/3.90 permutation0:
% 3.52/3.90 0 ==> 0
% 3.52/3.90 1 ==> 1
% 3.52/3.90 2 ==> 3
% 3.52/3.90 3 ==> 0
% 3.52/3.90 end
% 3.52/3.90
% 3.52/3.90 factor: (23173) {G1,W15,D2,L3,V3,M3} { ! cyclic( X, Y, Z, X ), ! cyclic( X
% 3.52/3.90 , Y, Z, Y ), cong( X, Y, X, Y ) }.
% 3.52/3.90 parent0[0, 2]: (913) {G1,W20,D2,L4,V4,M4} R(43,40);f { ! cyclic( X, Y, Z, X
% 3.52/3.90 ), ! cyclic( X, Y, Z, Y ), ! cyclic( X, Y, Z, T ), cong( X, Y, X, Y )
% 3.52/3.90 }.
% 3.52/3.90 substitution0:
% 3.52/3.90 X := X
% 3.52/3.90 Y := Y
% 3.52/3.90 Z := Z
% 3.52/3.90 T := X
% 3.52/3.90 end
% 3.52/3.90
% 3.52/3.90 subsumption: (945) {G2,W15,D2,L3,V3,M3} F(913) { ! cyclic( X, Y, Z, X ), !
% 3.52/3.90 cyclic( X, Y, Z, Y ), cong( X, Y, X, Y ) }.
% 3.52/3.90 parent0: (23173) {G1,W15,D2,L3,V3,M3} { ! cyclic( X, Y, Z, X ), ! cyclic(
% 3.52/3.90 X, Y, Z, Y ), cong( X, Y, X, Y ) }.
% 3.52/3.90 substitution0:
% 3.52/3.90 X := X
% 3.52/3.90 Y := Y
% 3.52/3.90 Z := Z
% 3.52/3.90 end
% 3.52/3.90 permutation0:
% 3.52/3.90 0 ==> 0
% 3.52/3.90 1 ==> 1
% 3.52/3.90 2 ==> 2
% 3.52/3.90 end
% 3.52/3.90
% 3.52/3.90 resolution: (23176) {G2,W8,D2,L2,V1,M2} { coll( X, skol24, skol25 ), !
% 3.52/3.90 coll( X, skol24, skol26 ) }.
% 3.52/3.90 parent0[0]: (165) {G1,W8,D2,L2,V3,M2} R(1,0) { ! coll( X, Y, Z ), coll( Y,
% 3.52/3.90 Z, X ) }.
% 3.52/3.90 parent1[0]: (650) {G3,W8,D2,L2,V1,M2} R(595,165) { coll( skol25, X, skol24
% 3.52/3.90 ), ! coll( X, skol24, skol26 ) }.
% 3.52/3.90 substitution0:
% 3.52/3.90 X := skol25
% 3.52/3.90 Y := X
% 3.52/3.90 Z := skol24
% 3.52/3.90 end
% 3.52/3.90 substitution1:
% 3.52/3.90 X := X
% 3.52/3.90 end
% 3.52/3.90
% 3.52/3.90 subsumption: (1502) {G4,W8,D2,L2,V1,M2} R(650,165) { ! coll( X, skol24,
% 3.52/3.90 skol26 ), coll( X, skol24, skol25 ) }.
% 3.52/3.90 parent0: (23176) {G2,W8,D2,L2,V1,M2} { coll( X, skol24, skol25 ), ! coll(
% 3.52/3.90 X, skol24, skol26 ) }.
% 3.52/3.90 substitution0:
% 3.52/3.90 X := X
% 3.52/3.90 end
% 3.52/3.90 permutation0:
% 3.52/3.90 0 ==> 1
% 3.52/3.90 1 ==> 0
% 3.52/3.90 end
% 3.52/3.90
% 3.52/3.90 resolution: (23179) {G1,W12,D2,L3,V2,M3} { ! coll( X, skol24, Y ), coll(
% 3.52/3.90 skol25, Y, X ), ! coll( X, skol24, skol26 ) }.
% 3.52/3.90 parent0[0]: (2) {G0,W12,D2,L3,V4,M3} I { ! coll( X, T, Y ), ! coll( X, T, Z
% 3.52/3.90 ), coll( Y, Z, X ) }.
% 3.52/3.90 parent1[1]: (1502) {G4,W8,D2,L2,V1,M2} R(650,165) { ! coll( X, skol24,
% 3.52/3.90 skol26 ), coll( X, skol24, skol25 ) }.
% 3.52/3.90 substitution0:
% 3.52/3.90 X := X
% 3.52/3.90 Y := skol25
% 3.52/3.90 Z := Y
% 3.52/3.90 T := skol24
% 3.52/3.90 end
% 3.52/3.90 substitution1:
% 3.52/3.90 X := X
% 3.52/3.90 end
% 3.52/3.90
% 3.52/3.90 subsumption: (1520) {G5,W12,D2,L3,V2,M3} R(1502,2) { ! coll( X, skol24,
% 3.52/3.90 skol26 ), ! coll( X, skol24, Y ), coll( skol25, Y, X ) }.
% 3.52/3.90 parent0: (23179) {G1,W12,D2,L3,V2,M3} { ! coll( X, skol24, Y ), coll(
% 3.52/3.90 skol25, Y, X ), ! coll( X, skol24, skol26 ) }.
% 3.52/3.90 substitution0:
% 3.52/3.90 X := X
% 3.52/3.90 Y := Y
% 3.52/3.90 end
% 3.52/3.90 permutation0:
% 3.52/3.90 0 ==> 1
% 3.52/3.90 1 ==> 2
% 3.52/3.90 2 ==> 0
% 3.52/3.90 end
% 3.52/3.90
% 3.52/3.90 factor: (23183) {G5,W8,D2,L2,V1,M2} { ! coll( X, skol24, skol26 ), coll(
% 3.52/3.90 skol25, skol26, X ) }.
% 3.52/3.90 parent0[0, 1]: (1520) {G5,W12,D2,L3,V2,M3} R(1502,2) { ! coll( X, skol24,
% 3.52/3.90 skol26 ), ! coll( X, skol24, Y ), coll( skol25, Y, X ) }.
% 3.52/3.90 substitution0:
% 3.52/3.90 X := X
% 3.52/3.90 Y := skol26
% 3.52/3.90 end
% 3.52/3.90
% 3.52/3.90 subsumption: (1525) {G6,W8,D2,L2,V1,M2} F(1520) { ! coll( X, skol24, skol26
% 3.52/3.90 ), coll( skol25, skol26, X ) }.
% 3.52/3.90 parent0: (23183) {G5,W8,D2,L2,V1,M2} { ! coll( X, skol24, skol26 ), coll(
% 3.52/3.90 skol25, skol26, X ) }.
% 3.52/3.90 substitution0:
% 3.52/3.90 X := X
% 3.52/3.90 end
% 3.52/3.90 permutation0:
% 3.52/3.90 0 ==> 0
% 3.52/3.90 1 ==> 1
% 3.52/3.90 end
% 3.52/3.90
% 3.52/3.90 resolution: (23184) {G2,W8,D2,L2,V1,M2} { coll( skol25, skol26, X ), !
% 3.52/3.90 midp( skol24, X, skol26 ) }.
% 3.52/3.90 parent0[0]: (1525) {G6,W8,D2,L2,V1,M2} F(1520) { ! coll( X, skol24, skol26
% 3.52/3.90 ), coll( skol25, skol26, X ) }.
% 3.52/3.90 parent1[1]: (503) {G1,W8,D2,L2,V3,M2} R(69,1) { ! midp( X, Y, Z ), coll( Y
% 3.52/3.90 , X, Z ) }.
% 3.52/3.90 substitution0:
% 3.52/3.90 X := X
% 3.52/3.90 end
% 3.52/3.90 substitution1:
% 3.52/3.90 X := skol24
% 3.52/3.90 Y := X
% 3.52/3.90 Z := skol26
% 3.52/3.90 end
% 3.52/3.90
% 3.52/3.90 subsumption: (1977) {G7,W8,D2,L2,V1,M2} R(1525,503) { coll( skol25, skol26
% 3.52/3.90 , X ), ! midp( skol24, X, skol26 ) }.
% 3.52/3.90 parent0: (23184) {G2,W8,D2,L2,V1,M2} { coll( skol25, skol26, X ), ! midp(
% 3.52/3.90 skol24, X, skol26 ) }.
% 3.52/3.90 substitution0:
% 3.52/3.90 X := X
% 3.52/3.90 end
% 3.52/3.90 permutation0:
% 3.52/3.90 0 ==> 0
% 3.52/3.90 1 ==> 1
% 3.52/3.90 end
% 3.52/3.90
% 3.52/3.90 resolution: (23185) {G2,W8,D2,L2,V1,M2} { coll( skol26, X, skol25 ), !
% 3.52/3.90 midp( skol24, X, skol26 ) }.
% 3.52/3.90 parent0[0]: (165) {G1,W8,D2,L2,V3,M2} R(1,0) { ! coll( X, Y, Z ), coll( Y,
% 3.52/3.90 Z, X ) }.
% 3.52/3.90 parent1[0]: (1977) {G7,W8,D2,L2,V1,M2} R(1525,503) { coll( skol25, skol26,
% 3.52/3.90 X ), ! midp( skol24, X, skol26 ) }.
% 3.52/3.90 substitution0:
% 3.52/3.90 X := skol25
% 3.52/3.90 Y := skol26
% 3.52/3.90 Z := X
% 3.52/3.90 end
% 3.52/3.90 substitution1:
% 3.52/3.90 X := X
% 3.52/3.90 end
% 3.52/3.90
% 3.52/3.90 subsumption: (1996) {G8,W8,D2,L2,V1,M2} R(1977,165) { ! midp( skol24, X,
% 3.52/3.90 skol26 ), coll( skol26, X, skol25 ) }.
% 3.52/3.90 parent0: (23185) {G2,W8,D2,L2,V1,M2} { coll( skol26, X, skol25 ), ! midp(
% 3.52/3.90 skol24, X, skol26 ) }.
% 3.52/3.90 substitution0:
% 3.52/3.90 X := X
% 3.52/3.90 end
% 3.52/3.90 permutation0:
% 3.52/3.90 0 ==> 1
% 3.52/3.90 1 ==> 0
% 3.52/3.90 end
% 3.52/3.90
% 3.52/3.90 resolution: (23186) {G2,W8,D2,L2,V1,M2} { coll( X, skol25, skol26 ), !
% 3.52/3.90 midp( skol24, X, skol26 ) }.
% 3.52/3.90 parent0[1]: (164) {G1,W8,D2,L2,V3,M2} R(1,0) { coll( X, Y, Z ), ! coll( Y,
% 3.52/3.90 Z, X ) }.
% 3.52/3.90 parent1[0]: (1977) {G7,W8,D2,L2,V1,M2} R(1525,503) { coll( skol25, skol26,
% 3.52/3.90 X ), ! midp( skol24, X, skol26 ) }.
% 3.52/3.90 substitution0:
% 3.52/3.90 X := X
% 3.52/3.90 Y := skol25
% 3.52/3.90 Z := skol26
% 3.52/3.90 end
% 3.52/3.90 substitution1:
% 3.52/3.90 X := X
% 3.52/3.90 end
% 3.52/3.90
% 3.52/3.90 subsumption: (1997) {G8,W8,D2,L2,V1,M2} R(1977,164) { ! midp( skol24, X,
% 3.52/3.90 skol26 ), coll( X, skol25, skol26 ) }.
% 3.52/3.90 parent0: (23186) {G2,W8,D2,L2,V1,M2} { coll( X, skol25, skol26 ), ! midp(
% 3.52/3.90 skol24, X, skol26 ) }.
% 3.52/3.90 substitution0:
% 3.52/3.90 X := X
% 3.52/3.90 end
% 3.52/3.90 permutation0:
% 3.52/3.90 0 ==> 1
% 3.52/3.90 1 ==> 0
% 3.52/3.90 end
% 3.52/3.90
% 3.52/3.90 resolution: (23187) {G1,W8,D2,L2,V1,M2} { coll( skol26, X, skol25 ), !
% 3.52/3.90 midp( skol24, skol26, X ) }.
% 3.52/3.90 parent0[0]: (1996) {G8,W8,D2,L2,V1,M2} R(1977,165) { ! midp( skol24, X,
% 3.52/3.90 skol26 ), coll( skol26, X, skol25 ) }.
% 3.52/3.90 parent1[1]: (10) {G0,W8,D2,L2,V3,M2} I { ! midp( Z, Y, X ), midp( Z, X, Y )
% 3.52/3.90 }.
% 3.52/3.90 substitution0:
% 3.52/3.90 X := X
% 3.52/3.90 end
% 3.52/3.90 substitution1:
% 3.52/3.90 X := X
% 3.52/3.90 Y := skol26
% 3.52/3.90 Z := skol24
% 3.52/3.90 end
% 3.52/3.90
% 3.52/3.90 subsumption: (2004) {G9,W8,D2,L2,V1,M2} R(1996,10) { coll( skol26, X,
% 3.52/3.90 skol25 ), ! midp( skol24, skol26, X ) }.
% 3.52/3.90 parent0: (23187) {G1,W8,D2,L2,V1,M2} { coll( skol26, X, skol25 ), ! midp(
% 3.52/3.90 skol24, skol26, X ) }.
% 3.52/3.90 substitution0:
% 3.52/3.90 X := X
% 3.52/3.90 end
% 3.52/3.90 permutation0:
% 3.52/3.90 0 ==> 0
% 3.52/3.90 1 ==> 1
% 3.52/3.90 end
% 3.52/3.90
% 3.52/3.90 resolution: (23188) {G1,W8,D2,L2,V1,M2} { coll( X, skol26, skol25 ), !
% 3.52/3.90 midp( skol24, skol26, X ) }.
% 3.52/3.90 parent0[0]: (1) {G0,W8,D2,L2,V3,M2} I { ! coll( X, Y, Z ), coll( Y, X, Z )
% 3.52/3.90 }.
% 3.52/3.90 parent1[0]: (2004) {G9,W8,D2,L2,V1,M2} R(1996,10) { coll( skol26, X, skol25
% 3.52/3.90 ), ! midp( skol24, skol26, X ) }.
% 3.52/3.90 substitution0:
% 3.52/3.90 X := skol26
% 3.52/3.90 Y := X
% 3.52/3.90 Z := skol25
% 3.52/3.90 end
% 3.52/3.90 substitution1:
% 3.52/3.90 X := X
% 3.52/3.90 end
% 3.52/3.90
% 3.52/3.90 subsumption: (2100) {G10,W8,D2,L2,V1,M2} R(2004,1) { ! midp( skol24, skol26
% 3.52/3.90 , X ), coll( X, skol26, skol25 ) }.
% 3.52/3.90 parent0: (23188) {G1,W8,D2,L2,V1,M2} { coll( X, skol26, skol25 ), ! midp(
% 3.52/3.90 skol24, skol26, X ) }.
% 3.52/3.90 substitution0:
% 3.52/3.90 X := X
% 3.52/3.90 end
% 3.52/3.90 permutation0:
% 3.52/3.90 0 ==> 1
% 3.52/3.90 1 ==> 0
% 3.52/3.90 end
% 3.52/3.90
% 3.52/3.90 resolution: (23189) {G1,W5,D2,L1,V0,M1} { cong( skol24, skol25, skol24,
% 3.52/3.90 skol26 ) }.
% 3.52/3.90 parent0[0]: (68) {G0,W9,D2,L2,V3,M2} I { ! midp( X, Y, Z ), cong( X, Y, X,
% 3.52/3.90 Z ) }.
% 3.52/3.90 parent1[0]: (314) {G1,W4,D2,L1,V0,M1} R(10,121) { midp( skol24, skol25,
% 3.52/3.90 skol26 ) }.
% 3.52/3.90 substitution0:
% 3.52/3.90 X := skol24
% 3.52/3.90 Y := skol25
% 3.52/3.90 Z := skol26
% 3.52/3.90 end
% 3.52/3.90 substitution1:
% 3.52/3.90 end
% 3.52/3.90
% 3.52/3.90 subsumption: (2426) {G2,W5,D2,L1,V0,M1} R(68,314) { cong( skol24, skol25,
% 3.52/3.90 skol24, skol26 ) }.
% 3.52/3.90 parent0: (23189) {G1,W5,D2,L1,V0,M1} { cong( skol24, skol25, skol24,
% 3.52/3.90 skol26 ) }.
% 3.52/3.90 substitution0:
% 3.52/3.90 end
% 3.52/3.90 permutation0:
% 3.52/3.90 0 ==> 0
% 3.52/3.90 end
% 3.52/3.90
% 3.52/3.90 resolution: (23190) {G1,W5,D2,L1,V0,M1} { cong( skol24, skol26, skol24,
% 3.52/3.90 skol25 ) }.
% 3.52/3.90 parent0[0]: (68) {G0,W9,D2,L2,V3,M2} I { ! midp( X, Y, Z ), cong( X, Y, X,
% 3.52/3.90 Z ) }.
% 3.52/3.90 parent1[0]: (121) {G0,W4,D2,L1,V0,M1} I { midp( skol24, skol26, skol25 )
% 3.52/3.90 }.
% 3.52/3.90 substitution0:
% 3.52/3.90 X := skol24
% 3.52/3.90 Y := skol26
% 3.52/3.90 Z := skol25
% 3.52/3.90 end
% 3.52/3.90 substitution1:
% 3.52/3.90 end
% 3.52/3.90
% 3.52/3.90 subsumption: (2427) {G1,W5,D2,L1,V0,M1} R(68,121) { cong( skol24, skol26,
% 3.52/3.90 skol24, skol25 ) }.
% 3.52/3.90 parent0: (23190) {G1,W5,D2,L1,V0,M1} { cong( skol24, skol26, skol24,
% 3.52/3.90 skol25 ) }.
% 3.52/3.90 substitution0:
% 3.52/3.90 end
% 3.52/3.90 permutation0:
% 3.52/3.90 0 ==> 0
% 3.52/3.90 end
% 3.52/3.90
% 3.52/3.90 resolution: (23191) {G1,W5,D2,L1,V0,M1} { cong( skol24, skol25, skol26,
% 3.52/3.90 skol24 ) }.
% 3.52/3.90 parent0[0]: (22) {G0,W10,D2,L2,V4,M2} I { ! cong( X, Y, Z, T ), cong( X, Y
% 3.52/3.90 , T, Z ) }.
% 3.52/3.90 parent1[0]: (2426) {G2,W5,D2,L1,V0,M1} R(68,314) { cong( skol24, skol25,
% 3.52/3.90 skol24, skol26 ) }.
% 3.52/3.90 substitution0:
% 3.52/3.90 X := skol24
% 3.52/3.90 Y := skol25
% 3.52/3.90 Z := skol24
% 3.52/3.90 T := skol26
% 3.52/3.90 end
% 3.52/3.90 substitution1:
% 3.52/3.90 end
% 3.52/3.90
% 3.52/3.90 subsumption: (2436) {G3,W5,D2,L1,V0,M1} R(2426,22) { cong( skol24, skol25,
% 3.52/3.90 skol26, skol24 ) }.
% 3.52/3.90 parent0: (23191) {G1,W5,D2,L1,V0,M1} { cong( skol24, skol25, skol26,
% 3.52/3.90 skol24 ) }.
% 3.52/3.90 substitution0:
% 3.52/3.90 end
% 3.52/3.90 permutation0:
% 3.52/3.90 0 ==> 0
% 3.52/3.90 end
% 3.52/3.90
% 3.52/3.90 resolution: (23192) {G2,W8,D2,L2,V1,M2} { coll( skol26, X, skol25 ), !
% 3.52/3.90 midp( skol24, skol25, X ) }.
% 3.52/3.90 parent0[0]: (581) {G4,W8,D2,L2,V1,M2} R(538,2) { ! coll( skol25, skol24, X
% 3.52/3.90 ), coll( skol26, X, skol25 ) }.
% 3.52/3.90 parent1[1]: (503) {G1,W8,D2,L2,V3,M2} R(69,1) { ! midp( X, Y, Z ), coll( Y
% 3.52/3.90 , X, Z ) }.
% 3.52/3.90 substitution0:
% 3.52/3.90 X := X
% 3.52/3.90 end
% 3.52/3.90 substitution1:
% 3.52/3.90 X := skol24
% 3.52/3.90 Y := skol25
% 3.52/3.90 Z := X
% 3.52/3.90 end
% 3.52/3.90
% 3.52/3.90 subsumption: (3855) {G5,W8,D2,L2,V1,M2} R(581,503) { coll( skol26, X,
% 3.52/3.90 skol25 ), ! midp( skol24, skol25, X ) }.
% 3.52/3.90 parent0: (23192) {G2,W8,D2,L2,V1,M2} { coll( skol26, X, skol25 ), ! midp(
% 3.52/3.90 skol24, skol25, X ) }.
% 3.52/3.90 substitution0:
% 3.52/3.90 X := X
% 3.52/3.90 end
% 3.52/3.90 permutation0:
% 3.52/3.90 0 ==> 0
% 3.52/3.90 1 ==> 1
% 3.52/3.90 end
% 3.52/3.90
% 3.52/3.90 resolution: (23193) {G2,W8,D2,L2,V1,M2} { coll( X, skol25, skol26 ), !
% 3.52/3.90 midp( skol24, skol25, X ) }.
% 3.52/3.90 parent0[0]: (165) {G1,W8,D2,L2,V3,M2} R(1,0) { ! coll( X, Y, Z ), coll( Y,
% 3.52/3.90 Z, X ) }.
% 3.52/3.90 parent1[0]: (3855) {G5,W8,D2,L2,V1,M2} R(581,503) { coll( skol26, X, skol25
% 3.52/3.90 ), ! midp( skol24, skol25, X ) }.
% 3.52/3.90 substitution0:
% 3.52/3.90 X := skol26
% 3.52/3.90 Y := X
% 3.52/3.90 Z := skol25
% 3.52/3.90 end
% 3.52/3.90 substitution1:
% 3.52/3.90 X := X
% 3.52/3.90 end
% 3.52/3.90
% 3.52/3.90 subsumption: (3881) {G6,W8,D2,L2,V1,M2} R(3855,165) { ! midp( skol24,
% 3.52/3.90 skol25, X ), coll( X, skol25, skol26 ) }.
% 3.52/3.90 parent0: (23193) {G2,W8,D2,L2,V1,M2} { coll( X, skol25, skol26 ), ! midp(
% 3.52/3.90 skol24, skol25, X ) }.
% 3.52/3.90 substitution0:
% 3.52/3.90 X := X
% 3.52/3.90 end
% 3.52/3.90 permutation0:
% 3.52/3.90 0 ==> 1
% 3.52/3.90 1 ==> 0
% 3.52/3.90 end
% 3.52/3.90
% 3.52/3.90 resolution: (23194) {G1,W8,D2,L2,V1,M2} { coll( X, skol25, skol26 ), !
% 3.52/3.90 midp( skol24, X, skol25 ) }.
% 3.52/3.90 parent0[0]: (3881) {G6,W8,D2,L2,V1,M2} R(3855,165) { ! midp( skol24, skol25
% 3.52/3.90 , X ), coll( X, skol25, skol26 ) }.
% 3.52/3.90 parent1[1]: (10) {G0,W8,D2,L2,V3,M2} I { ! midp( Z, Y, X ), midp( Z, X, Y )
% 3.52/3.90 }.
% 3.52/3.90 substitution0:
% 3.52/3.90 X := X
% 3.52/3.90 end
% 3.52/3.90 substitution1:
% 3.52/3.90 X := skol25
% 3.52/3.90 Y := X
% 3.52/3.90 Z := skol24
% 3.52/3.90 end
% 3.52/3.90
% 3.52/3.90 subsumption: (3936) {G7,W8,D2,L2,V1,M2} R(3881,10) { coll( X, skol25,
% 3.52/3.90 skol26 ), ! midp( skol24, X, skol25 ) }.
% 3.52/3.90 parent0: (23194) {G1,W8,D2,L2,V1,M2} { coll( X, skol25, skol26 ), ! midp(
% 3.52/3.90 skol24, X, skol25 ) }.
% 3.52/3.90 substitution0:
% 3.52/3.90 X := X
% 3.52/3.90 end
% 3.52/3.90 permutation0:
% 3.52/3.90 0 ==> 0
% 3.52/3.90 1 ==> 1
% 3.52/3.90 end
% 3.52/3.90
% 3.52/3.90 resolution: (23195) {G1,W8,D2,L2,V1,M2} { coll( X, skol26, skol25 ), !
% 3.52/3.90 midp( skol24, X, skol25 ) }.
% 3.52/3.90 parent0[0]: (0) {G0,W8,D2,L2,V3,M2} I { ! coll( X, Y, Z ), coll( X, Z, Y )
% 3.52/3.90 }.
% 3.52/3.90 parent1[0]: (3936) {G7,W8,D2,L2,V1,M2} R(3881,10) { coll( X, skol25, skol26
% 3.52/3.90 ), ! midp( skol24, X, skol25 ) }.
% 3.52/3.90 substitution0:
% 3.52/3.90 X := X
% 3.52/3.90 Y := skol25
% 3.52/3.90 Z := skol26
% 3.52/3.90 end
% 3.52/3.90 substitution1:
% 3.52/3.90 X := X
% 3.52/3.90 end
% 3.52/3.90
% 3.52/3.90 subsumption: (3953) {G8,W8,D2,L2,V1,M2} R(3936,0) { ! midp( skol24, X,
% 3.52/3.90 skol25 ), coll( X, skol26, skol25 ) }.
% 3.52/3.90 parent0: (23195) {G1,W8,D2,L2,V1,M2} { coll( X, skol26, skol25 ), ! midp(
% 3.52/3.90 skol24, X, skol25 ) }.
% 3.52/3.90 substitution0:
% 3.52/3.90 X := X
% 3.52/3.90 end
% 3.52/3.90 permutation0:
% 3.52/3.90 0 ==> 1
% 3.52/3.90 1 ==> 0
% 3.52/3.90 end
% 3.52/3.90
% 3.52/3.90 resolution: (23196) {G2,W5,D2,L1,V0,M1} { circle( skol24, skol25, skol26,
% 3.52/3.90 skol26 ) }.
% 3.52/3.90 parent0[0]: (125) {G1,W10,D2,L2,V3,M2} F(11) { ! cong( X, Y, X, Z ), circle
% 3.52/3.90 ( X, Y, Z, Z ) }.
% 3.52/3.90 parent1[0]: (2426) {G2,W5,D2,L1,V0,M1} R(68,314) { cong( skol24, skol25,
% 3.52/3.90 skol24, skol26 ) }.
% 3.52/3.90 substitution0:
% 3.52/3.90 X := skol24
% 3.52/3.90 Y := skol25
% 3.52/3.90 Z := skol26
% 3.52/3.90 end
% 3.52/3.90 substitution1:
% 3.52/3.90 end
% 3.52/3.90
% 3.52/3.90 subsumption: (6974) {G3,W5,D2,L1,V0,M1} R(125,2426) { circle( skol24,
% 3.52/3.90 skol25, skol26, skol26 ) }.
% 3.52/3.90 parent0: (23196) {G2,W5,D2,L1,V0,M1} { circle( skol24, skol25, skol26,
% 3.52/3.90 skol26 ) }.
% 3.52/3.90 substitution0:
% 3.52/3.90 end
% 3.52/3.90 permutation0:
% 3.52/3.90 0 ==> 0
% 3.52/3.90 end
% 3.52/3.90
% 3.52/3.90 resolution: (23197) {G1,W7,D3,L1,V0,M1} { perp( skol12( skol25, skol24 ),
% 3.52/3.90 skol25, skol25, skol24 ) }.
% 3.52/3.90 parent0[0]: (100) {G0,W12,D3,L2,V4,M2} I { ! circle( Y, X, Z, T ), perp(
% 3.52/3.90 skol12( X, Y ), X, X, Y ) }.
% 3.52/3.90 parent1[0]: (6974) {G3,W5,D2,L1,V0,M1} R(125,2426) { circle( skol24, skol25
% 3.52/3.90 , skol26, skol26 ) }.
% 3.52/3.90 substitution0:
% 3.52/3.90 X := skol25
% 3.52/3.90 Y := skol24
% 3.52/3.90 Z := skol26
% 3.52/3.90 T := skol26
% 3.52/3.90 end
% 3.52/3.90 substitution1:
% 3.52/3.90 end
% 3.52/3.90
% 3.52/3.90 subsumption: (7070) {G4,W7,D3,L1,V0,M1} R(6974,100) { perp( skol12( skol25
% 3.52/3.90 , skol24 ), skol25, skol25, skol24 ) }.
% 3.52/3.90 parent0: (23197) {G1,W7,D3,L1,V0,M1} { perp( skol12( skol25, skol24 ),
% 3.52/3.90 skol25, skol25, skol24 ) }.
% 3.52/3.90 substitution0:
% 3.52/3.90 end
% 3.52/3.90 permutation0:
% 3.52/3.90 0 ==> 0
% 3.52/3.90 end
% 3.52/3.90
% 3.52/3.90 resolution: (23198) {G2,W5,D2,L1,V0,M1} { cyclic( skol26, skol25, skol25,
% 3.52/3.90 skol25 ) }.
% 3.52/3.90 parent0[0]: (129) {G2,W10,D2,L2,V3,M2} F(128) { ! cong( X, Y, X, Z ),
% 3.52/3.90 cyclic( Y, Z, Z, Z ) }.
% 3.52/3.90 parent1[0]: (2427) {G1,W5,D2,L1,V0,M1} R(68,121) { cong( skol24, skol26,
% 3.52/3.90 skol24, skol25 ) }.
% 3.52/3.90 substitution0:
% 3.52/3.90 X := skol24
% 3.52/3.90 Y := skol26
% 3.52/3.90 Z := skol25
% 3.52/3.90 end
% 3.52/3.90 substitution1:
% 3.52/3.90 end
% 3.52/3.90
% 3.52/3.90 subsumption: (7130) {G3,W5,D2,L1,V0,M1} R(129,2427) { cyclic( skol26,
% 3.52/3.90 skol25, skol25, skol25 ) }.
% 3.52/3.90 parent0: (23198) {G2,W5,D2,L1,V0,M1} { cyclic( skol26, skol25, skol25,
% 3.52/3.90 skol25 ) }.
% 3.52/3.90 substitution0:
% 3.52/3.90 end
% 3.52/3.90 permutation0:
% 3.52/3.90 0 ==> 0
% 3.52/3.90 end
% 3.52/3.90
% 3.52/3.90 resolution: (23199) {G2,W5,D2,L1,V0,M1} { cyclic( skol25, skol25, skol25,
% 3.52/3.90 skol25 ) }.
% 3.52/3.90 parent0[0]: (130) {G1,W10,D2,L2,V4,M2} F(16) { ! cyclic( X, Y, Z, T ),
% 3.52/3.90 cyclic( Y, Z, T, T ) }.
% 3.52/3.90 parent1[0]: (7130) {G3,W5,D2,L1,V0,M1} R(129,2427) { cyclic( skol26, skol25
% 3.52/3.90 , skol25, skol25 ) }.
% 3.52/3.90 substitution0:
% 3.52/3.90 X := skol26
% 3.52/3.90 Y := skol25
% 3.52/3.90 Z := skol25
% 3.52/3.90 T := skol25
% 3.52/3.90 end
% 3.52/3.90 substitution1:
% 3.52/3.90 end
% 3.52/3.90
% 3.52/3.90 subsumption: (7163) {G4,W5,D2,L1,V0,M1} R(130,7130) { cyclic( skol25,
% 3.52/3.90 skol25, skol25, skol25 ) }.
% 3.52/3.90 parent0: (23199) {G2,W5,D2,L1,V0,M1} { cyclic( skol25, skol25, skol25,
% 3.52/3.90 skol25 ) }.
% 3.52/3.90 substitution0:
% 3.52/3.90 end
% 3.52/3.90 permutation0:
% 3.52/3.90 0 ==> 0
% 3.52/3.90 end
% 3.52/3.90
% 3.52/3.90 resolution: (23200) {G2,W18,D3,L4,V2,M4} { ! midp( X, skol26, skol25 ), !
% 3.52/3.90 coll( skol25, skol26, skol25 ), midp( skol7( skol26, Y ), skol26, Y ), !
% 3.52/3.90 midp( skol24, skol26, skol25 ) }.
% 3.52/3.90 parent0[1]: (145) {G1,W18,D3,L4,V4,M4} F(88) { ! midp( X, Y, Z ), ! coll( Y
% 3.52/3.90 , Y, Z ), ! coll( Z, Y, Z ), midp( skol7( Y, T ), Y, T ) }.
% 3.52/3.90 parent1[1]: (3953) {G8,W8,D2,L2,V1,M2} R(3936,0) { ! midp( skol24, X,
% 3.52/3.90 skol25 ), coll( X, skol26, skol25 ) }.
% 3.52/3.90 substitution0:
% 3.52/3.90 X := X
% 3.52/3.90 Y := skol26
% 3.52/3.90 Z := skol25
% 3.52/3.90 T := Y
% 3.52/3.90 end
% 3.52/3.90 substitution1:
% 3.52/3.90 X := skol26
% 3.52/3.90 end
% 3.52/3.90
% 3.52/3.90 factor: (23202) {G2,W14,D3,L3,V1,M3} { ! midp( skol24, skol26, skol25 ), !
% 3.52/3.90 coll( skol25, skol26, skol25 ), midp( skol7( skol26, X ), skol26, X )
% 3.52/3.90 }.
% 3.52/3.90 parent0[0, 3]: (23200) {G2,W18,D3,L4,V2,M4} { ! midp( X, skol26, skol25 )
% 3.52/3.90 , ! coll( skol25, skol26, skol25 ), midp( skol7( skol26, Y ), skol26, Y )
% 3.52/3.90 , ! midp( skol24, skol26, skol25 ) }.
% 3.52/3.90 substitution0:
% 3.52/3.90 X := skol24
% 3.52/3.90 Y := X
% 3.52/3.90 end
% 3.52/3.90
% 3.52/3.90 resolution: (23203) {G3,W14,D3,L3,V1,M3} { ! midp( skol24, skol26, skol25
% 3.52/3.90 ), midp( skol7( skol26, X ), skol26, X ), ! midp( skol24, skol26, skol25
% 3.52/3.90 ) }.
% 3.52/3.90 parent0[1]: (23202) {G2,W14,D3,L3,V1,M3} { ! midp( skol24, skol26, skol25
% 3.52/3.90 ), ! coll( skol25, skol26, skol25 ), midp( skol7( skol26, X ), skol26, X
% 3.52/3.90 ) }.
% 3.52/3.90 parent1[1]: (2100) {G10,W8,D2,L2,V1,M2} R(2004,1) { ! midp( skol24, skol26
% 3.52/3.90 , X ), coll( X, skol26, skol25 ) }.
% 3.52/3.90 substitution0:
% 3.52/3.90 X := X
% 3.52/3.90 end
% 3.52/3.90 substitution1:
% 3.52/3.90 X := skol25
% 3.52/3.90 end
% 3.52/3.90
% 3.52/3.90 subsumption: (7750) {G11,W14,D3,L3,V2,M3} R(145,3953);r(2100) { ! midp( X,
% 3.52/3.90 skol26, skol25 ), midp( skol7( skol26, Y ), skol26, Y ), ! midp( skol24,
% 3.52/3.90 skol26, skol25 ) }.
% 3.52/3.90 parent0: (23203) {G3,W14,D3,L3,V1,M3} { ! midp( skol24, skol26, skol25 ),
% 3.52/3.90 midp( skol7( skol26, X ), skol26, X ), ! midp( skol24, skol26, skol25 )
% 3.52/3.90 }.
% 3.52/3.90 substitution0:
% 3.52/3.90 X := Y
% 3.52/3.90 end
% 3.52/3.90 permutation0:
% 3.52/3.90 0 ==> 2
% 3.52/3.90 1 ==> 1
% 3.52/3.90 2 ==> 2
% 3.52/3.90 end
% 3.52/3.90
% 3.52/3.90 resolution: (23206) {G2,W18,D3,L4,V2,M4} { ! midp( X, skol25, skol26 ), !
% 3.52/3.90 coll( skol25, skol25, skol26 ), midp( skol7( skol25, Y ), skol25, Y ), !
% 3.52/3.90 midp( skol24, skol25, skol26 ) }.
% 3.52/3.90 parent0[2]: (145) {G1,W18,D3,L4,V4,M4} F(88) { ! midp( X, Y, Z ), ! coll( Y
% 3.52/3.90 , Y, Z ), ! coll( Z, Y, Z ), midp( skol7( Y, T ), Y, T ) }.
% 3.52/3.90 parent1[1]: (3881) {G6,W8,D2,L2,V1,M2} R(3855,165) { ! midp( skol24, skol25
% 3.52/3.90 , X ), coll( X, skol25, skol26 ) }.
% 3.52/3.90 substitution0:
% 3.52/3.90 X := X
% 3.52/3.90 Y := skol25
% 3.52/3.90 Z := skol26
% 3.52/3.90 T := Y
% 3.52/3.90 end
% 3.52/3.90 substitution1:
% 3.52/3.90 X := skol26
% 3.52/3.90 end
% 3.52/3.90
% 3.52/3.90 factor: (23207) {G2,W14,D3,L3,V1,M3} { ! midp( skol24, skol25, skol26 ), !
% 3.52/3.90 coll( skol25, skol25, skol26 ), midp( skol7( skol25, X ), skol25, X )
% 3.52/3.90 }.
% 3.52/3.90 parent0[0, 3]: (23206) {G2,W18,D3,L4,V2,M4} { ! midp( X, skol25, skol26 )
% 3.52/3.90 , ! coll( skol25, skol25, skol26 ), midp( skol7( skol25, Y ), skol25, Y )
% 3.52/3.90 , ! midp( skol24, skol25, skol26 ) }.
% 3.52/3.90 substitution0:
% 3.52/3.90 X := skol24
% 3.52/3.90 Y := X
% 3.52/3.90 end
% 3.52/3.90
% 3.52/3.90 resolution: (23209) {G3,W14,D3,L3,V1,M3} { ! midp( skol24, skol25, skol26
% 3.52/3.90 ), midp( skol7( skol25, X ), skol25, X ), ! midp( skol24, skol25, skol26
% 3.52/3.90 ) }.
% 3.52/3.90 parent0[1]: (23207) {G2,W14,D3,L3,V1,M3} { ! midp( skol24, skol25, skol26
% 3.52/3.90 ), ! coll( skol25, skol25, skol26 ), midp( skol7( skol25, X ), skol25, X
% 3.52/3.90 ) }.
% 3.52/3.90 parent1[1]: (1997) {G8,W8,D2,L2,V1,M2} R(1977,164) { ! midp( skol24, X,
% 3.52/3.90 skol26 ), coll( X, skol25, skol26 ) }.
% 3.52/3.90 substitution0:
% 3.52/3.90 X := X
% 3.52/3.90 end
% 3.52/3.90 substitution1:
% 3.52/3.90 X := skol25
% 3.52/3.90 end
% 3.52/3.90
% 3.52/3.90 subsumption: (7754) {G9,W14,D3,L3,V2,M3} R(145,3881);r(1997) { ! midp( X,
% 3.52/3.90 skol25, skol26 ), midp( skol7( skol25, Y ), skol25, Y ), ! midp( skol24,
% 3.52/3.90 skol25, skol26 ) }.
% 3.52/3.90 parent0: (23209) {G3,W14,D3,L3,V1,M3} { ! midp( skol24, skol25, skol26 ),
% 3.52/3.90 midp( skol7( skol25, X ), skol25, X ), ! midp( skol24, skol25, skol26 )
% 3.52/3.90 }.
% 3.52/3.90 substitution0:
% 3.52/3.90 X := Y
% 3.52/3.90 end
% 3.52/3.90 permutation0:
% 3.52/3.90 0 ==> 2
% 3.52/3.90 1 ==> 1
% 3.52/3.90 2 ==> 2
% 3.52/3.90 end
% 3.52/3.90
% 3.52/3.90 factor: (23211) {G9,W10,D3,L2,V1,M2} { ! midp( skol24, skol25, skol26 ),
% 3.52/3.90 midp( skol7( skol25, X ), skol25, X ) }.
% 3.52/3.90 parent0[0, 2]: (7754) {G9,W14,D3,L3,V2,M3} R(145,3881);r(1997) { ! midp( X
% 3.52/3.90 , skol25, skol26 ), midp( skol7( skol25, Y ), skol25, Y ), ! midp( skol24
% 3.52/3.90 , skol25, skol26 ) }.
% 3.52/3.90 substitution0:
% 3.52/3.90 X := skol24
% 3.52/3.90 Y := X
% 3.52/3.90 end
% 3.52/3.90
% 3.52/3.90 resolution: (23212) {G2,W6,D3,L1,V1,M1} { midp( skol7( skol25, X ), skol25
% 3.52/3.90 , X ) }.
% 3.52/3.90 parent0[0]: (23211) {G9,W10,D3,L2,V1,M2} { ! midp( skol24, skol25, skol26
% 3.52/3.90 ), midp( skol7( skol25, X ), skol25, X ) }.
% 3.52/3.90 parent1[0]: (314) {G1,W4,D2,L1,V0,M1} R(10,121) { midp( skol24, skol25,
% 3.52/3.90 skol26 ) }.
% 3.52/3.90 substitution0:
% 3.52/3.90 X := X
% 3.52/3.90 end
% 3.52/3.90 substitution1:
% 3.52/3.90 end
% 3.52/3.90
% 3.52/3.90 subsumption: (7876) {G10,W6,D3,L1,V1,M1} F(7754);r(314) { midp( skol7(
% 3.52/3.90 skol25, X ), skol25, X ) }.
% 3.52/3.90 parent0: (23212) {G2,W6,D3,L1,V1,M1} { midp( skol7( skol25, X ), skol25, X
% 3.52/3.90 ) }.
% 3.52/3.90 substitution0:
% 3.52/3.90 X := X
% 3.52/3.90 end
% 3.52/3.90 permutation0:
% 3.52/3.90 0 ==> 0
% 3.52/3.90 end
% 3.52/3.90
% 3.52/3.90 factor: (23213) {G11,W10,D3,L2,V1,M2} { ! midp( skol24, skol26, skol25 ),
% 3.52/3.90 midp( skol7( skol26, X ), skol26, X ) }.
% 3.52/3.90 parent0[0, 2]: (7750) {G11,W14,D3,L3,V2,M3} R(145,3953);r(2100) { ! midp( X
% 3.52/3.90 , skol26, skol25 ), midp( skol7( skol26, Y ), skol26, Y ), ! midp( skol24
% 3.52/3.90 , skol26, skol25 ) }.
% 3.52/3.90 substitution0:
% 3.52/3.90 X := skol24
% 3.52/3.90 Y := X
% 3.52/3.90 end
% 3.52/3.90
% 3.52/3.90 resolution: (23214) {G1,W6,D3,L1,V1,M1} { midp( skol7( skol26, X ), skol26
% 3.52/3.90 , X ) }.
% 3.52/3.90 parent0[0]: (23213) {G11,W10,D3,L2,V1,M2} { ! midp( skol24, skol26, skol25
% 3.52/3.90 ), midp( skol7( skol26, X ), skol26, X ) }.
% 3.52/3.90 parent1[0]: (121) {G0,W4,D2,L1,V0,M1} I { midp( skol24, skol26, skol25 )
% 3.52/3.90 }.
% 3.52/3.90 substitution0:
% 3.52/3.90 X := X
% 3.52/3.90 end
% 3.52/3.90 substitution1:
% 3.52/3.90 end
% 3.52/3.90
% 3.52/3.90 subsumption: (7877) {G12,W6,D3,L1,V1,M1} F(7750);r(121) { midp( skol7(
% 3.52/3.90 skol26, X ), skol26, X ) }.
% 3.52/3.90 parent0: (23214) {G1,W6,D3,L1,V1,M1} { midp( skol7( skol26, X ), skol26, X
% 3.52/3.90 ) }.
% 3.52/3.90 substitution0:
% 3.52/3.90 X := X
% 3.52/3.90 end
% 3.52/3.90 permutation0:
% 3.52/3.90 0 ==> 0
% 3.52/3.90 end
% 3.52/3.90
% 3.52/3.90 resolution: (23215) {G12,W4,D2,L1,V1,M1} { coll( skol26, skol26, X ) }.
% 3.52/3.90 parent0[0]: (484) {G11,W8,D2,L2,V3,M2} R(69,433) { ! midp( X, Y, Z ), coll
% 3.52/3.90 ( Y, Y, Z ) }.
% 3.52/3.90 parent1[0]: (7877) {G12,W6,D3,L1,V1,M1} F(7750);r(121) { midp( skol7(
% 3.52/3.90 skol26, X ), skol26, X ) }.
% 3.52/3.90 substitution0:
% 3.52/3.90 X := skol7( skol26, X )
% 3.52/3.90 Y := skol26
% 3.52/3.90 Z := X
% 3.52/3.90 end
% 3.52/3.90 substitution1:
% 3.52/3.90 X := X
% 3.52/3.90 end
% 3.52/3.90
% 3.52/3.90 subsumption: (7925) {G13,W4,D2,L1,V1,M1} R(7877,484) { coll( skol26, skol26
% 3.52/3.90 , X ) }.
% 3.52/3.90 parent0: (23215) {G12,W4,D2,L1,V1,M1} { coll( skol26, skol26, X ) }.
% 3.52/3.90 substitution0:
% 3.52/3.90 X := X
% 3.52/3.90 end
% 3.52/3.90 permutation0:
% 3.52/3.90 0 ==> 0
% 3.52/3.90 end
% 3.52/3.90
% 3.52/3.90 resolution: (23216) {G1,W8,D2,L2,V2,M2} { ! coll( skol26, skol26, Y ),
% 3.52/3.90 coll( X, Y, skol26 ) }.
% 3.52/3.90 parent0[0]: (2) {G0,W12,D2,L3,V4,M3} I { ! coll( X, T, Y ), ! coll( X, T, Z
% 3.52/3.90 ), coll( Y, Z, X ) }.
% 3.52/3.90 parent1[0]: (7925) {G13,W4,D2,L1,V1,M1} R(7877,484) { coll( skol26, skol26
% 3.52/3.90 , X ) }.
% 3.52/3.90 substitution0:
% 3.52/3.90 X := skol26
% 3.52/3.90 Y := X
% 3.52/3.90 Z := Y
% 3.52/3.90 T := skol26
% 3.52/3.90 end
% 3.52/3.90 substitution1:
% 3.52/3.90 X := X
% 3.52/3.90 end
% 3.52/3.90
% 3.52/3.90 resolution: (23218) {G2,W4,D2,L1,V2,M1} { coll( Y, X, skol26 ) }.
% 3.52/3.90 parent0[0]: (23216) {G1,W8,D2,L2,V2,M2} { ! coll( skol26, skol26, Y ),
% 3.52/3.90 coll( X, Y, skol26 ) }.
% 3.52/3.90 parent1[0]: (7925) {G13,W4,D2,L1,V1,M1} R(7877,484) { coll( skol26, skol26
% 3.52/3.90 , X ) }.
% 3.52/3.90 substitution0:
% 3.52/3.90 X := Y
% 3.52/3.90 Y := X
% 3.52/3.90 end
% 3.52/3.90 substitution1:
% 3.52/3.90 X := X
% 3.52/3.90 end
% 3.52/3.90
% 3.52/3.90 subsumption: (7984) {G14,W4,D2,L1,V2,M1} R(7925,2);r(7925) { coll( Y, X,
% 3.52/3.90 skol26 ) }.
% 3.52/3.90 parent0: (23218) {G2,W4,D2,L1,V2,M1} { coll( Y, X, skol26 ) }.
% 3.52/3.90 substitution0:
% 3.52/3.90 X := X
% 3.52/3.90 Y := Y
% 3.52/3.90 end
% 3.52/3.90 permutation0:
% 3.52/3.90 0 ==> 0
% 3.52/3.90 end
% 3.52/3.90
% 3.52/3.90 resolution: (23219) {G2,W4,D2,L1,V2,M1} { coll( Y, skol26, X ) }.
% 3.52/3.90 parent0[0]: (165) {G1,W8,D2,L2,V3,M2} R(1,0) { ! coll( X, Y, Z ), coll( Y,
% 3.52/3.90 Z, X ) }.
% 3.52/3.90 parent1[0]: (7984) {G14,W4,D2,L1,V2,M1} R(7925,2);r(7925) { coll( Y, X,
% 3.52/3.90 skol26 ) }.
% 3.52/3.90 substitution0:
% 3.52/3.90 X := X
% 3.52/3.90 Y := Y
% 3.52/3.90 Z := skol26
% 3.52/3.90 end
% 3.52/3.90 substitution1:
% 3.52/3.90 X := Y
% 3.52/3.90 Y := X
% 3.52/3.90 end
% 3.52/3.90
% 3.52/3.90 subsumption: (8009) {G15,W4,D2,L1,V2,M1} R(7984,165) { coll( X, skol26, Y )
% 3.52/3.90 }.
% 3.52/3.90 parent0: (23219) {G2,W4,D2,L1,V2,M1} { coll( Y, skol26, X ) }.
% 3.52/3.90 substitution0:
% 3.52/3.90 X := Y
% 3.52/3.90 Y := X
% 3.52/3.90 end
% 3.52/3.90 permutation0:
% 3.52/3.90 0 ==> 0
% 3.52/3.90 end
% 3.52/3.90
% 3.52/3.90 resolution: (23220) {G1,W8,D2,L2,V3,M2} { ! coll( X, skol26, Z ), coll( Y
% 3.52/3.90 , Z, X ) }.
% 3.52/3.90 parent0[0]: (2) {G0,W12,D2,L3,V4,M3} I { ! coll( X, T, Y ), ! coll( X, T, Z
% 3.52/3.90 ), coll( Y, Z, X ) }.
% 3.52/3.90 parent1[0]: (8009) {G15,W4,D2,L1,V2,M1} R(7984,165) { coll( X, skol26, Y )
% 3.52/3.90 }.
% 3.52/3.90 substitution0:
% 3.52/3.90 X := X
% 3.52/3.90 Y := Y
% 3.52/3.90 Z := Z
% 3.52/3.90 T := skol26
% 3.52/3.90 end
% 3.52/3.90 substitution1:
% 3.52/3.90 X := X
% 3.52/3.90 Y := Y
% 3.52/3.90 end
% 3.52/3.90
% 3.52/3.90 resolution: (23222) {G2,W4,D2,L1,V3,M1} { coll( Z, Y, X ) }.
% 3.52/3.90 parent0[0]: (23220) {G1,W8,D2,L2,V3,M2} { ! coll( X, skol26, Z ), coll( Y
% 3.52/3.90 , Z, X ) }.
% 3.52/3.90 parent1[0]: (8009) {G15,W4,D2,L1,V2,M1} R(7984,165) { coll( X, skol26, Y )
% 3.52/3.90 }.
% 3.52/3.90 substitution0:
% 3.52/3.90 X := X
% 3.52/3.90 Y := Z
% 3.52/3.90 Z := Y
% 3.52/3.90 end
% 3.52/3.90 substitution1:
% 3.52/3.90 X := X
% 3.52/3.90 Y := Y
% 3.52/3.90 end
% 3.52/3.90
% 3.52/3.90 subsumption: (8022) {G16,W4,D2,L1,V3,M1} R(8009,2);r(8009) { coll( Z, Y, X
% 3.52/3.90 ) }.
% 3.52/3.90 parent0: (23222) {G2,W4,D2,L1,V3,M1} { coll( Z, Y, X ) }.
% 3.52/3.90 substitution0:
% 3.52/3.90 X := X
% 3.52/3.90 Y := Y
% 3.52/3.90 Z := Z
% 3.52/3.90 end
% 3.52/3.90 permutation0:
% 3.52/3.90 0 ==> 0
% 3.52/3.90 end
% 3.52/3.90
% 3.52/3.90 resolution: (23223) {G2,W5,D2,L1,V1,M1} { para( skol25, skol25, X, X ) }.
% 3.52/3.90 parent0[0]: (138) {G1,W9,D2,L2,V3,M2} F(63) { ! midp( X, Y, Z ), para( Y, Y
% 3.52/3.90 , Z, Z ) }.
% 3.52/3.90 parent1[0]: (7876) {G10,W6,D3,L1,V1,M1} F(7754);r(314) { midp( skol7(
% 3.52/3.90 skol25, X ), skol25, X ) }.
% 3.52/3.90 substitution0:
% 3.52/3.90 X := skol7( skol25, X )
% 3.52/3.90 Y := skol25
% 3.52/3.90 Z := X
% 3.52/3.90 end
% 3.52/3.90 substitution1:
% 3.52/3.90 X := X
% 3.52/3.90 end
% 3.52/3.90
% 3.52/3.90 subsumption: (8082) {G11,W5,D2,L1,V1,M1} R(7876,138) { para( skol25, skol25
% 3.52/3.90 , X, X ) }.
% 3.52/3.90 parent0: (23223) {G2,W5,D2,L1,V1,M1} { para( skol25, skol25, X, X ) }.
% 3.52/3.90 substitution0:
% 3.52/3.90 X := X
% 3.52/3.90 end
% 3.52/3.90 permutation0:
% 3.52/3.90 0 ==> 0
% 3.52/3.90 end
% 3.52/3.90
% 3.52/3.90 resolution: (23224) {G1,W5,D2,L1,V1,M1} { para( X, X, skol25, skol25 ) }.
% 3.52/3.90 parent0[0]: (4) {G0,W10,D2,L2,V4,M2} I { ! para( X, Y, Z, T ), para( Z, T,
% 3.52/3.90 X, Y ) }.
% 3.52/3.90 parent1[0]: (8082) {G11,W5,D2,L1,V1,M1} R(7876,138) { para( skol25, skol25
% 3.52/3.90 , X, X ) }.
% 3.52/3.90 substitution0:
% 3.52/3.90 X := skol25
% 3.52/3.90 Y := skol25
% 3.52/3.90 Z := X
% 3.52/3.90 T := X
% 3.52/3.90 end
% 3.52/3.90 substitution1:
% 3.52/3.90 X := X
% 3.52/3.90 end
% 3.52/3.90
% 3.52/3.90 subsumption: (8102) {G12,W5,D2,L1,V1,M1} R(8082,4) { para( X, X, skol25,
% 3.52/3.90 skol25 ) }.
% 3.52/3.90 parent0: (23224) {G1,W5,D2,L1,V1,M1} { para( X, X, skol25, skol25 ) }.
% 3.52/3.90 substitution0:
% 3.52/3.90 X := X
% 3.52/3.90 end
% 3.52/3.90 permutation0:
% 3.52/3.90 0 ==> 0
% 3.52/3.90 end
% 3.52/3.90
% 3.52/3.90 resolution: (23225) {G1,W9,D2,L1,V3,M1} { eqangle( X, X, Y, Z, skol25,
% 3.52/3.90 skol25, Y, Z ) }.
% 3.52/3.90 parent0[0]: (39) {G0,W14,D2,L2,V6,M2} I { ! para( X, Y, Z, T ), eqangle( X
% 3.52/3.90 , Y, U, W, Z, T, U, W ) }.
% 3.52/3.90 parent1[0]: (8102) {G12,W5,D2,L1,V1,M1} R(8082,4) { para( X, X, skol25,
% 3.52/3.90 skol25 ) }.
% 3.52/3.90 substitution0:
% 3.52/3.90 X := X
% 3.52/3.90 Y := X
% 3.52/3.90 Z := skol25
% 3.52/3.90 T := skol25
% 3.52/3.90 U := Y
% 3.52/3.90 W := Z
% 3.52/3.90 end
% 3.52/3.90 substitution1:
% 3.52/3.90 X := X
% 3.52/3.90 end
% 3.52/3.90
% 3.52/3.90 subsumption: (8106) {G13,W9,D2,L1,V3,M1} R(8102,39) { eqangle( X, X, Y, Z,
% 3.52/3.90 skol25, skol25, Y, Z ) }.
% 3.52/3.90 parent0: (23225) {G1,W9,D2,L1,V3,M1} { eqangle( X, X, Y, Z, skol25, skol25
% 3.52/3.90 , Y, Z ) }.
% 3.52/3.90 substitution0:
% 3.52/3.90 X := X
% 3.52/3.90 Y := Y
% 3.52/3.90 Z := Z
% 3.52/3.90 end
% 3.52/3.90 permutation0:
% 3.52/3.90 0 ==> 0
% 3.52/3.90 end
% 3.52/3.90
% 3.52/3.90 resolution: (23226) {G1,W7,D3,L1,V0,M1} { perp( skol25, skol24, skol12(
% 3.52/3.90 skol25, skol24 ), skol25 ) }.
% 3.52/3.90 parent0[0]: (7) {G0,W10,D2,L2,V4,M2} I { ! perp( X, Y, Z, T ), perp( Z, T,
% 3.52/3.90 X, Y ) }.
% 3.52/3.90 parent1[0]: (7070) {G4,W7,D3,L1,V0,M1} R(6974,100) { perp( skol12( skol25,
% 3.52/3.90 skol24 ), skol25, skol25, skol24 ) }.
% 3.52/3.90 substitution0:
% 3.52/3.90 X := skol12( skol25, skol24 )
% 3.52/3.90 Y := skol25
% 3.52/3.90 Z := skol25
% 3.52/3.90 T := skol24
% 3.52/3.90 end
% 3.52/3.90 substitution1:
% 3.52/3.90 end
% 3.52/3.90
% 3.52/3.90 subsumption: (8136) {G5,W7,D3,L1,V0,M1} R(7070,7) { perp( skol25, skol24,
% 3.52/3.90 skol12( skol25, skol24 ), skol25 ) }.
% 3.52/3.90 parent0: (23226) {G1,W7,D3,L1,V0,M1} { perp( skol25, skol24, skol12(
% 3.52/3.90 skol25, skol24 ), skol25 ) }.
% 3.52/3.90 substitution0:
% 3.52/3.90 end
% 3.52/3.90 permutation0:
% 3.52/3.90 0 ==> 0
% 3.52/3.90 end
% 3.52/3.90
% 3.52/3.90 resolution: (23227) {G1,W7,D3,L1,V0,M1} { perp( skol25, skol24, skol25,
% 3.52/3.90 skol12( skol25, skol24 ) ) }.
% 3.52/3.90 parent0[0]: (6) {G0,W10,D2,L2,V4,M2} I { ! perp( X, Y, Z, T ), perp( X, Y,
% 3.52/3.90 T, Z ) }.
% 3.52/3.90 parent1[0]: (8136) {G5,W7,D3,L1,V0,M1} R(7070,7) { perp( skol25, skol24,
% 3.52/3.90 skol12( skol25, skol24 ), skol25 ) }.
% 3.52/3.90 substitution0:
% 3.52/3.90 X := skol25
% 3.52/3.90 Y := skol24
% 3.52/3.90 Z := skol12( skol25, skol24 )
% 3.52/3.90 T := skol25
% 3.52/3.90 end
% 3.52/3.90 substitution1:
% 3.52/3.90 end
% 3.52/3.90
% 3.52/3.90 subsumption: (8145) {G6,W7,D3,L1,V0,M1} R(8136,6) { perp( skol25, skol24,
% 3.52/3.90 skol25, skol12( skol25, skol24 ) ) }.
% 3.52/3.90 parent0: (23227) {G1,W7,D3,L1,V0,M1} { perp( skol25, skol24, skol25,
% 3.52/3.90 skol12( skol25, skol24 ) ) }.
% 3.52/3.90 substitution0:
% 3.52/3.90 end
% 3.52/3.90 permutation0:
% 3.52/3.90 0 ==> 0
% 3.52/3.90 end
% 3.52/3.90
% 3.52/3.90 resolution: (23228) {G1,W7,D3,L1,V0,M1} { perp( skol25, skol12( skol25,
% 3.52/3.90 skol24 ), skol25, skol24 ) }.
% 3.52/3.90 parent0[0]: (7) {G0,W10,D2,L2,V4,M2} I { ! perp( X, Y, Z, T ), perp( Z, T,
% 3.52/3.90 X, Y ) }.
% 3.52/3.90 parent1[0]: (8145) {G6,W7,D3,L1,V0,M1} R(8136,6) { perp( skol25, skol24,
% 3.52/3.90 skol25, skol12( skol25, skol24 ) ) }.
% 3.52/3.90 substitution0:
% 3.52/3.90 X := skol25
% 3.52/3.90 Y := skol24
% 3.52/3.90 Z := skol25
% 3.52/3.90 T := skol12( skol25, skol24 )
% 3.52/3.90 end
% 3.52/3.90 substitution1:
% 3.52/3.90 end
% 3.52/3.90
% 3.52/3.90 subsumption: (8153) {G7,W7,D3,L1,V0,M1} R(8145,7) { perp( skol25, skol12(
% 3.52/3.90 skol25, skol24 ), skol25, skol24 ) }.
% 3.52/3.90 parent0: (23228) {G1,W7,D3,L1,V0,M1} { perp( skol25, skol12( skol25,
% 3.52/3.90 skol24 ), skol25, skol24 ) }.
% 3.52/3.90 substitution0:
% 3.52/3.90 end
% 3.52/3.90 permutation0:
% 3.52/3.90 0 ==> 0
% 3.52/3.90 end
% 3.52/3.90
% 3.52/3.90 resolution: (23229) {G1,W7,D3,L1,V0,M1} { perp( skol25, skol12( skol25,
% 3.52/3.90 skol24 ), skol24, skol25 ) }.
% 3.52/3.90 parent0[0]: (6) {G0,W10,D2,L2,V4,M2} I { ! perp( X, Y, Z, T ), perp( X, Y,
% 3.52/3.90 T, Z ) }.
% 3.52/3.90 parent1[0]: (8153) {G7,W7,D3,L1,V0,M1} R(8145,7) { perp( skol25, skol12(
% 3.52/3.90 skol25, skol24 ), skol25, skol24 ) }.
% 3.52/3.90 substitution0:
% 3.52/3.90 X := skol25
% 3.52/3.90 Y := skol12( skol25, skol24 )
% 3.52/3.90 Z := skol25
% 3.52/3.90 T := skol24
% 3.52/3.90 end
% 3.52/3.90 substitution1:
% 3.52/3.90 end
% 3.52/3.90
% 3.52/3.90 subsumption: (8162) {G8,W7,D3,L1,V0,M1} R(8153,6) { perp( skol25, skol12(
% 3.52/3.90 skol25, skol24 ), skol24, skol25 ) }.
% 3.52/3.90 parent0: (23229) {G1,W7,D3,L1,V0,M1} { perp( skol25, skol12( skol25,
% 3.52/3.90 skol24 ), skol24, skol25 ) }.
% 3.52/3.90 substitution0:
% 3.52/3.90 end
% 3.52/3.90 permutation0:
% 3.52/3.90 0 ==> 0
% 3.52/3.90 end
% 3.52/3.90
% 3.52/3.90 resolution: (23230) {G1,W7,D3,L1,V0,M1} { perp( skol24, skol25, skol25,
% 3.52/3.91 skol12( skol25, skol24 ) ) }.
% 3.52/3.91 parent0[0]: (7) {G0,W10,D2,L2,V4,M2} I { ! perp( X, Y, Z, T ), perp( Z, T,
% 3.52/3.91 X, Y ) }.
% 3.52/3.91 parent1[0]: (8162) {G8,W7,D3,L1,V0,M1} R(8153,6) { perp( skol25, skol12(
% 3.52/3.91 skol25, skol24 ), skol24, skol25 ) }.
% 3.52/3.91 substitution0:
% 3.52/3.91 X := skol25
% 3.52/3.91 Y := skol12( skol25, skol24 )
% 3.52/3.91 Z := skol24
% 3.52/3.91 T := skol25
% 3.52/3.91 end
% 3.52/3.91 substitution1:
% 3.52/3.91 end
% 3.52/3.91
% 3.52/3.91 subsumption: (8171) {G9,W7,D3,L1,V0,M1} R(8162,7) { perp( skol24, skol25,
% 3.52/3.91 skol25, skol12( skol25, skol24 ) ) }.
% 3.52/3.91 parent0: (23230) {G1,W7,D3,L1,V0,M1} { perp( skol24, skol25, skol25,
% 3.52/3.91 skol12( skol25, skol24 ) ) }.
% 3.52/3.91 substitution0:
% 3.52/3.91 end
% 3.52/3.91 permutation0:
% 3.52/3.91 0 ==> 0
% 3.52/3.91 end
% 3.52/3.91
% 3.52/3.91 resolution: (23231) {G1,W14,D3,L2,V2,M2} { ! coll( skol12( skol25, skol24
% 3.52/3.91 ), X, Y ), perp( skol16( skol24, X, Y ), skol24, X, Y ) }.
% 3.52/3.91 parent0[0]: (110) {G0,W17,D3,L3,V5,M3} I { ! perp( X, U, U, T ), ! coll( T
% 3.52/3.91 , Y, Z ), perp( skol16( X, Y, Z ), X, Y, Z ) }.
% 3.52/3.91 parent1[0]: (8171) {G9,W7,D3,L1,V0,M1} R(8162,7) { perp( skol24, skol25,
% 3.52/3.91 skol25, skol12( skol25, skol24 ) ) }.
% 3.52/3.91 substitution0:
% 3.52/3.91 X := skol24
% 3.52/3.91 Y := X
% 3.52/3.91 Z := Y
% 3.52/3.91 T := skol12( skol25, skol24 )
% 3.52/3.91 U := skol25
% 3.52/3.91 end
% 3.52/3.91 substitution1:
% 3.52/3.91 end
% 3.52/3.91
% 3.52/3.91 resolution: (23232) {G2,W8,D3,L1,V2,M1} { perp( skol16( skol24, X, Y ),
% 3.52/3.91 skol24, X, Y ) }.
% 3.52/3.91 parent0[0]: (23231) {G1,W14,D3,L2,V2,M2} { ! coll( skol12( skol25, skol24
% 3.52/3.91 ), X, Y ), perp( skol16( skol24, X, Y ), skol24, X, Y ) }.
% 3.52/3.91 parent1[0]: (8022) {G16,W4,D2,L1,V3,M1} R(8009,2);r(8009) { coll( Z, Y, X )
% 3.52/3.91 }.
% 3.52/3.91 substitution0:
% 3.52/3.91 X := X
% 3.52/3.91 Y := Y
% 3.52/3.91 end
% 3.52/3.91 substitution1:
% 3.52/3.91 X := Y
% 3.52/3.91 Y := X
% 3.52/3.91 Z := skol12( skol25, skol24 )
% 3.52/3.91 end
% 3.52/3.91
% 3.52/3.91 subsumption: (8173) {G17,W8,D3,L1,V2,M1} R(8171,110);r(8022) { perp( skol16
% 3.52/3.91 ( skol24, X, Y ), skol24, X, Y ) }.
% 3.52/3.91 parent0: (23232) {G2,W8,D3,L1,V2,M1} { perp( skol16( skol24, X, Y ),
% 3.52/3.91 skol24, X, Y ) }.
% 3.52/3.91 substitution0:
% 3.52/3.91 X := X
% 3.52/3.91 Y := Y
% 3.52/3.91 end
% 3.52/3.91 permutation0:
% 3.52/3.91 0 ==> 0
% 3.52/3.91 end
% 3.52/3.91
% 3.52/3.91 resolution: (23233) {G1,W8,D3,L1,V2,M1} { perp( X, Y, skol16( skol24, X, Y
% 3.52/3.91 ), skol24 ) }.
% 3.52/3.91 parent0[0]: (7) {G0,W10,D2,L2,V4,M2} I { ! perp( X, Y, Z, T ), perp( Z, T,
% 3.52/3.91 X, Y ) }.
% 3.52/3.91 parent1[0]: (8173) {G17,W8,D3,L1,V2,M1} R(8171,110);r(8022) { perp( skol16
% 3.52/3.91 ( skol24, X, Y ), skol24, X, Y ) }.
% 3.52/3.91 substitution0:
% 3.52/3.91 X := skol16( skol24, X, Y )
% 3.52/3.91 Y := skol24
% 3.52/3.91 Z := X
% 3.52/3.91 T := Y
% 3.52/3.91 end
% 3.52/3.91 substitution1:
% 3.52/3.91 X := X
% 3.52/3.91 Y := Y
% 3.52/3.91 end
% 3.52/3.91
% 3.52/3.91 subsumption: (8356) {G18,W8,D3,L1,V2,M1} R(8173,7) { perp( X, Y, skol16(
% 3.52/3.91 skol24, X, Y ), skol24 ) }.
% 3.52/3.91 parent0: (23233) {G1,W8,D3,L1,V2,M1} { perp( X, Y, skol16( skol24, X, Y )
% 3.52/3.91 , skol24 ) }.
% 3.52/3.91 substitution0:
% 3.52/3.91 X := X
% 3.52/3.91 Y := Y
% 3.52/3.91 end
% 3.52/3.91 permutation0:
% 3.52/3.91 0 ==> 0
% 3.52/3.91 end
% 3.52/3.91
% 3.52/3.91 resolution: (23234) {G1,W8,D3,L1,V2,M1} { perp( X, Y, skol24, skol16(
% 3.52/3.91 skol24, X, Y ) ) }.
% 3.52/3.91 parent0[0]: (6) {G0,W10,D2,L2,V4,M2} I { ! perp( X, Y, Z, T ), perp( X, Y,
% 3.52/3.91 T, Z ) }.
% 3.52/3.91 parent1[0]: (8356) {G18,W8,D3,L1,V2,M1} R(8173,7) { perp( X, Y, skol16(
% 3.52/3.91 skol24, X, Y ), skol24 ) }.
% 3.52/3.91 substitution0:
% 3.52/3.91 X := X
% 3.52/3.91 Y := Y
% 3.52/3.91 Z := skol16( skol24, X, Y )
% 3.52/3.91 T := skol24
% 3.52/3.91 end
% 3.52/3.91 substitution1:
% 3.52/3.91 X := X
% 3.52/3.91 Y := Y
% 3.52/3.91 end
% 3.52/3.91
% 3.52/3.91 subsumption: (8366) {G19,W8,D3,L1,V2,M1} R(8356,6) { perp( X, Y, skol24,
% 3.52/3.91 skol16( skol24, X, Y ) ) }.
% 3.52/3.91 parent0: (23234) {G1,W8,D3,L1,V2,M1} { perp( X, Y, skol24, skol16( skol24
% 3.52/3.91 , X, Y ) ) }.
% 3.52/3.91 substitution0:
% 3.52/3.91 X := X
% 3.52/3.91 Y := Y
% 3.52/3.91 end
% 3.52/3.91 permutation0:
% 3.52/3.91 0 ==> 0
% 3.52/3.91 end
% 3.52/3.91
% 3.52/3.91 resolution: (23235) {G1,W8,D3,L1,V2,M1} { perp( skol24, skol16( skol24, X
% 3.52/3.91 , Y ), X, Y ) }.
% 3.52/3.91 parent0[0]: (7) {G0,W10,D2,L2,V4,M2} I { ! perp( X, Y, Z, T ), perp( Z, T,
% 3.52/3.91 X, Y ) }.
% 3.52/3.91 parent1[0]: (8366) {G19,W8,D3,L1,V2,M1} R(8356,6) { perp( X, Y, skol24,
% 3.52/3.91 skol16( skol24, X, Y ) ) }.
% 3.52/3.91 substitution0:
% 3.52/3.91 X := X
% 3.52/3.91 Y := Y
% 3.52/3.91 Z := skol24
% 3.52/3.91 T := skol16( skol24, X, Y )
% 3.52/3.91 end
% 3.52/3.91 substitution1:
% 3.52/3.91 X := X
% 3.52/3.91 Y := Y
% 3.52/3.91 end
% 3.52/3.91
% 3.52/3.91 subsumption: (8386) {G20,W8,D3,L1,V2,M1} R(8366,7) { perp( skol24, skol16(
% 3.52/3.91 skol24, X, Y ), X, Y ) }.
% 3.52/3.91 parent0: (23235) {G1,W8,D3,L1,V2,M1} { perp( skol24, skol16( skol24, X, Y
% 3.52/3.91 ), X, Y ) }.
% 3.52/3.91 substitution0:
% 3.52/3.91 X := X
% 3.52/3.91 Y := Y
% 3.52/3.91 end
% 3.52/3.91 permutation0:
% 3.52/3.91 0 ==> 0
% 3.52/3.91 end
% 3.52/3.91
% 3.52/3.91 resolution: (23236) {G1,W8,D3,L1,V2,M1} { perp( skol24, skol16( skol24, X
% 3.52/3.91 , Y ), Y, X ) }.
% 3.52/3.91 parent0[0]: (6) {G0,W10,D2,L2,V4,M2} I { ! perp( X, Y, Z, T ), perp( X, Y,
% 3.52/3.91 T, Z ) }.
% 3.52/3.91 parent1[0]: (8386) {G20,W8,D3,L1,V2,M1} R(8366,7) { perp( skol24, skol16(
% 3.52/3.91 skol24, X, Y ), X, Y ) }.
% 3.52/3.91 substitution0:
% 3.52/3.91 X := skol24
% 3.52/3.91 Y := skol16( skol24, X, Y )
% 3.52/3.91 Z := X
% 3.52/3.91 T := Y
% 3.52/3.91 end
% 3.52/3.91 substitution1:
% 3.52/3.91 X := X
% 3.52/3.91 Y := Y
% 3.52/3.91 end
% 3.52/3.91
% 3.52/3.91 subsumption: (8395) {G21,W8,D3,L1,V2,M1} R(8386,6) { perp( skol24, skol16(
% 3.52/3.91 skol24, X, Y ), Y, X ) }.
% 3.52/3.91 parent0: (23236) {G1,W8,D3,L1,V2,M1} { perp( skol24, skol16( skol24, X, Y
% 3.52/3.91 ), Y, X ) }.
% 3.52/3.91 substitution0:
% 3.52/3.91 X := X
% 3.52/3.91 Y := Y
% 3.52/3.91 end
% 3.52/3.91 permutation0:
% 3.52/3.91 0 ==> 0
% 3.52/3.91 end
% 3.52/3.91
% 3.52/3.91 resolution: (23237) {G1,W8,D3,L1,V2,M1} { perp( Y, X, skol24, skol16(
% 3.52/3.91 skol24, X, Y ) ) }.
% 3.52/3.91 parent0[0]: (7) {G0,W10,D2,L2,V4,M2} I { ! perp( X, Y, Z, T ), perp( Z, T,
% 3.52/3.91 X, Y ) }.
% 3.52/3.91 parent1[0]: (8395) {G21,W8,D3,L1,V2,M1} R(8386,6) { perp( skol24, skol16(
% 3.52/3.91 skol24, X, Y ), Y, X ) }.
% 3.52/3.91 substitution0:
% 3.52/3.91 X := skol24
% 3.52/3.91 Y := skol16( skol24, X, Y )
% 3.52/3.91 Z := Y
% 3.52/3.91 T := X
% 3.52/3.91 end
% 3.52/3.91 substitution1:
% 3.52/3.91 X := X
% 3.52/3.91 Y := Y
% 3.52/3.91 end
% 3.52/3.91
% 3.52/3.91 subsumption: (8407) {G22,W8,D3,L1,V2,M1} R(8395,7) { perp( X, Y, skol24,
% 3.52/3.91 skol16( skol24, Y, X ) ) }.
% 3.52/3.91 parent0: (23237) {G1,W8,D3,L1,V2,M1} { perp( Y, X, skol24, skol16( skol24
% 3.52/3.91 , X, Y ) ) }.
% 3.52/3.91 substitution0:
% 3.52/3.91 X := Y
% 3.52/3.91 Y := X
% 3.52/3.91 end
% 3.52/3.91 permutation0:
% 3.52/3.91 0 ==> 0
% 3.52/3.91 end
% 3.52/3.91
% 3.52/3.91 resolution: (23238) {G1,W8,D3,L1,V2,M1} { perp( X, Y, skol16( skol24, Y, X
% 3.52/3.91 ), skol24 ) }.
% 3.52/3.91 parent0[0]: (6) {G0,W10,D2,L2,V4,M2} I { ! perp( X, Y, Z, T ), perp( X, Y,
% 3.52/3.91 T, Z ) }.
% 3.52/3.91 parent1[0]: (8407) {G22,W8,D3,L1,V2,M1} R(8395,7) { perp( X, Y, skol24,
% 3.52/3.91 skol16( skol24, Y, X ) ) }.
% 3.52/3.91 substitution0:
% 3.52/3.91 X := X
% 3.52/3.91 Y := Y
% 3.52/3.91 Z := skol24
% 3.52/3.91 T := skol16( skol24, Y, X )
% 3.52/3.91 end
% 3.52/3.91 substitution1:
% 3.52/3.91 X := X
% 3.52/3.91 Y := Y
% 3.52/3.91 end
% 3.52/3.91
% 3.52/3.91 subsumption: (8416) {G23,W8,D3,L1,V2,M1} R(8407,6) { perp( X, Y, skol16(
% 3.52/3.91 skol24, Y, X ), skol24 ) }.
% 3.52/3.91 parent0: (23238) {G1,W8,D3,L1,V2,M1} { perp( X, Y, skol16( skol24, Y, X )
% 3.52/3.91 , skol24 ) }.
% 3.52/3.91 substitution0:
% 3.52/3.91 X := X
% 3.52/3.91 Y := Y
% 3.52/3.91 end
% 3.52/3.91 permutation0:
% 3.52/3.91 0 ==> 0
% 3.52/3.91 end
% 3.52/3.91
% 3.52/3.91 resolution: (23239) {G3,W5,D2,L1,V2,M1} { para( X, Y, X, Y ) }.
% 3.52/3.91 parent0[0]: (286) {G2,W10,D2,L2,V4,M2} F(276) { ! perp( X, Y, Z, T ), para
% 3.52/3.91 ( X, Y, X, Y ) }.
% 3.52/3.91 parent1[0]: (8416) {G23,W8,D3,L1,V2,M1} R(8407,6) { perp( X, Y, skol16(
% 3.52/3.91 skol24, Y, X ), skol24 ) }.
% 3.52/3.91 substitution0:
% 3.52/3.91 X := X
% 3.52/3.91 Y := Y
% 3.52/3.91 Z := skol16( skol24, Y, X )
% 3.52/3.91 T := skol24
% 3.52/3.91 end
% 3.52/3.91 substitution1:
% 3.52/3.91 X := X
% 3.52/3.91 Y := Y
% 3.52/3.91 end
% 3.52/3.91
% 3.52/3.91 subsumption: (9369) {G24,W5,D2,L1,V2,M1} R(286,8416) { para( X, Y, X, Y )
% 3.52/3.91 }.
% 3.52/3.91 parent0: (23239) {G3,W5,D2,L1,V2,M1} { para( X, Y, X, Y ) }.
% 3.52/3.91 substitution0:
% 3.52/3.91 X := X
% 3.52/3.91 Y := Y
% 3.52/3.91 end
% 3.52/3.91 permutation0:
% 3.52/3.91 0 ==> 0
% 3.52/3.91 end
% 3.52/3.91
% 3.52/3.91 resolution: (23240) {G2,W15,D2,L3,V0,M3} { ! cyclic( skol25, skol25,
% 3.52/3.91 skol25, skol25 ), ! cyclic( skol25, skol25, skol25, skol25 ), cong(
% 3.52/3.91 skol25, skol25, skol25, skol25 ) }.
% 3.52/3.91 parent0[2]: (133) {G1,W24,D2,L4,V5,M4} F(43) { ! cyclic( X, Y, Z, T ), !
% 3.52/3.91 cyclic( X, Y, Z, U ), ! eqangle( Z, X, Z, Y, U, T, U, U ), cong( X, Y, T
% 3.52/3.91 , U ) }.
% 3.52/3.91 parent1[0]: (8106) {G13,W9,D2,L1,V3,M1} R(8102,39) { eqangle( X, X, Y, Z,
% 3.52/3.91 skol25, skol25, Y, Z ) }.
% 3.52/3.91 substitution0:
% 3.52/3.91 X := skol25
% 3.52/3.91 Y := skol25
% 3.52/3.91 Z := skol25
% 3.52/3.91 T := skol25
% 3.52/3.91 U := skol25
% 3.52/3.91 end
% 3.52/3.91 substitution1:
% 3.52/3.91 X := skol25
% 3.52/3.91 Y := skol25
% 3.52/3.91 Z := skol25
% 3.52/3.91 end
% 3.52/3.91
% 3.52/3.91 factor: (23241) {G2,W10,D2,L2,V0,M2} { ! cyclic( skol25, skol25, skol25,
% 3.52/3.91 skol25 ), cong( skol25, skol25, skol25, skol25 ) }.
% 3.52/3.91 parent0[0, 1]: (23240) {G2,W15,D2,L3,V0,M3} { ! cyclic( skol25, skol25,
% 3.52/3.91 skol25, skol25 ), ! cyclic( skol25, skol25, skol25, skol25 ), cong(
% 3.52/3.91 skol25, skol25, skol25, skol25 ) }.
% 3.52/3.91 substitution0:
% 3.52/3.91 end
% 3.52/3.91
% 3.52/3.91 resolution: (23243) {G3,W5,D2,L1,V0,M1} { cong( skol25, skol25, skol25,
% 3.52/3.91 skol25 ) }.
% 3.52/3.91 parent0[0]: (23241) {G2,W10,D2,L2,V0,M2} { ! cyclic( skol25, skol25,
% 3.52/3.91 skol25, skol25 ), cong( skol25, skol25, skol25, skol25 ) }.
% 3.52/3.91 parent1[0]: (7163) {G4,W5,D2,L1,V0,M1} R(130,7130) { cyclic( skol25, skol25
% 3.52/3.91 , skol25, skol25 ) }.
% 3.52/3.91 substitution0:
% 3.52/3.91 end
% 3.52/3.91 substitution1:
% 3.52/3.91 end
% 3.52/3.91
% 3.52/3.91 subsumption: (15109) {G14,W5,D2,L1,V0,M1} R(8106,133);f;r(7163) { cong(
% 3.52/3.91 skol25, skol25, skol25, skol25 ) }.
% 3.52/3.91 parent0: (23243) {G3,W5,D2,L1,V0,M1} { cong( skol25, skol25, skol25,
% 3.52/3.91 skol25 ) }.
% 3.52/3.91 substitution0:
% 3.52/3.91 end
% 3.52/3.91 permutation0:
% 3.52/3.91 0 ==> 0
% 3.52/3.91 end
% 3.52/3.91
% 3.52/3.91 resolution: (23244) {G2,W10,D2,L2,V0,M2} { ! cyclic( skol25, skol25,
% 3.52/3.91 skol25, skol25 ), perp( skol25, skol25, skol25, skol25 ) }.
% 3.52/3.91 parent0[0]: (136) {G1,W15,D2,L3,V3,M3} F(57) { ! cong( X, Y, Z, Y ), !
% 3.52/3.91 cyclic( X, Z, Y, Y ), perp( Y, X, X, Y ) }.
% 3.52/3.91 parent1[0]: (15109) {G14,W5,D2,L1,V0,M1} R(8106,133);f;r(7163) { cong(
% 3.52/3.91 skol25, skol25, skol25, skol25 ) }.
% 3.52/3.91 substitution0:
% 3.52/3.91 X := skol25
% 3.52/3.91 Y := skol25
% 3.52/3.91 Z := skol25
% 3.52/3.91 end
% 3.52/3.91 substitution1:
% 3.52/3.91 end
% 3.52/3.91
% 3.52/3.91 resolution: (23245) {G3,W5,D2,L1,V0,M1} { perp( skol25, skol25, skol25,
% 3.52/3.91 skol25 ) }.
% 3.52/3.91 parent0[0]: (23244) {G2,W10,D2,L2,V0,M2} { ! cyclic( skol25, skol25,
% 3.52/3.91 skol25, skol25 ), perp( skol25, skol25, skol25, skol25 ) }.
% 3.52/3.91 parent1[0]: (7163) {G4,W5,D2,L1,V0,M1} R(130,7130) { cyclic( skol25, skol25
% 3.52/3.91 , skol25, skol25 ) }.
% 3.52/3.91 substitution0:
% 3.52/3.91 end
% 3.52/3.91 substitution1:
% 3.52/3.91 end
% 3.52/3.91
% 3.52/3.91 subsumption: (15130) {G15,W5,D2,L1,V0,M1} R(15109,136);r(7163) { perp(
% 3.52/3.91 skol25, skol25, skol25, skol25 ) }.
% 3.52/3.91 parent0: (23245) {G3,W5,D2,L1,V0,M1} { perp( skol25, skol25, skol25,
% 3.52/3.91 skol25 ) }.
% 3.52/3.91 substitution0:
% 3.52/3.91 end
% 3.52/3.91 permutation0:
% 3.52/3.91 0 ==> 0
% 3.52/3.91 end
% 3.52/3.91
% 3.52/3.91 resolution: (23246) {G2,W10,D2,L2,V2,M2} { perp( X, Y, skol25, skol25 ), !
% 3.52/3.91 para( X, Y, skol25, skol25 ) }.
% 3.52/3.91 parent0[0]: (304) {G1,W15,D2,L3,V6,M3} R(9,3) { ! perp( X, Y, Z, T ), perp
% 3.52/3.91 ( U, W, Z, T ), ! para( U, W, Y, X ) }.
% 3.52/3.91 parent1[0]: (15130) {G15,W5,D2,L1,V0,M1} R(15109,136);r(7163) { perp(
% 3.52/3.91 skol25, skol25, skol25, skol25 ) }.
% 3.52/3.91 substitution0:
% 3.52/3.91 X := skol25
% 3.52/3.91 Y := skol25
% 3.52/3.91 Z := skol25
% 3.52/3.91 T := skol25
% 3.52/3.91 U := X
% 3.52/3.91 W := Y
% 3.52/3.91 end
% 3.52/3.91 substitution1:
% 3.52/3.91 end
% 3.52/3.91
% 3.52/3.91 subsumption: (15143) {G16,W10,D2,L2,V2,M2} R(15130,304) { perp( X, Y,
% 3.52/3.91 skol25, skol25 ), ! para( X, Y, skol25, skol25 ) }.
% 3.52/3.91 parent0: (23246) {G2,W10,D2,L2,V2,M2} { perp( X, Y, skol25, skol25 ), !
% 3.52/3.91 para( X, Y, skol25, skol25 ) }.
% 3.52/3.91 substitution0:
% 3.52/3.91 X := X
% 3.52/3.91 Y := Y
% 3.52/3.91 end
% 3.52/3.91 permutation0:
% 3.52/3.91 0 ==> 0
% 3.52/3.91 1 ==> 1
% 3.52/3.91 end
% 3.52/3.91
% 3.52/3.91 resolution: (23248) {G2,W10,D2,L2,V2,M2} { ! perp( skol25, skol25, X, Y )
% 3.52/3.91 , para( skol25, skol25, X, Y ) }.
% 3.52/3.91 parent0[2]: (277) {G1,W15,D2,L3,V6,M3} R(8,6) { ! perp( X, Y, Z, T ), para
% 3.52/3.91 ( U, W, Z, T ), ! perp( U, W, Y, X ) }.
% 3.52/3.91 parent1[0]: (15130) {G15,W5,D2,L1,V0,M1} R(15109,136);r(7163) { perp(
% 3.52/3.91 skol25, skol25, skol25, skol25 ) }.
% 3.52/3.91 substitution0:
% 3.52/3.91 X := skol25
% 3.52/3.91 Y := skol25
% 3.52/3.91 Z := X
% 3.52/3.91 T := Y
% 3.52/3.91 U := skol25
% 3.52/3.91 W := skol25
% 3.52/3.91 end
% 3.52/3.91 substitution1:
% 3.52/3.91 end
% 3.52/3.91
% 3.52/3.91 subsumption: (15160) {G16,W10,D2,L2,V2,M2} R(15130,277) { ! perp( skol25,
% 3.52/3.91 skol25, X, Y ), para( skol25, skol25, X, Y ) }.
% 3.52/3.91 parent0: (23248) {G2,W10,D2,L2,V2,M2} { ! perp( skol25, skol25, X, Y ),
% 3.52/3.91 para( skol25, skol25, X, Y ) }.
% 3.52/3.91 substitution0:
% 3.52/3.91 X := X
% 3.52/3.91 Y := Y
% 3.52/3.91 end
% 3.52/3.91 permutation0:
% 3.52/3.91 0 ==> 0
% 3.52/3.91 1 ==> 1
% 3.52/3.91 end
% 3.52/3.91
% 3.52/3.91 resolution: (23249) {G3,W5,D2,L1,V0,M1} { cong( skol24, skol25, skol24,
% 3.52/3.91 skol25 ) }.
% 3.52/3.91 parent0[0]: (559) {G2,W10,D2,L2,V4,M2} F(548) { ! cong( X, Y, Z, T ), cong
% 3.52/3.91 ( X, Y, X, Y ) }.
% 3.52/3.91 parent1[0]: (2436) {G3,W5,D2,L1,V0,M1} R(2426,22) { cong( skol24, skol25,
% 3.52/3.91 skol26, skol24 ) }.
% 3.52/3.91 substitution0:
% 3.52/3.91 X := skol24
% 3.52/3.91 Y := skol25
% 3.52/3.91 Z := skol26
% 3.52/3.91 T := skol24
% 3.52/3.91 end
% 3.52/3.91 substitution1:
% 3.52/3.91 end
% 3.52/3.91
% 3.52/3.91 subsumption: (16183) {G4,W5,D2,L1,V0,M1} R(559,2436) { cong( skol24, skol25
% 3.52/3.91 , skol24, skol25 ) }.
% 3.52/3.91 parent0: (23249) {G3,W5,D2,L1,V0,M1} { cong( skol24, skol25, skol24,
% 3.52/3.91 skol25 ) }.
% 3.52/3.91 substitution0:
% 3.52/3.91 end
% 3.52/3.91 permutation0:
% 3.52/3.91 0 ==> 0
% 3.52/3.91 end
% 3.52/3.91
% 3.52/3.91 resolution: (23250) {G1,W9,D2,L1,V0,M1} { eqangle( skol24, skol25, skol25
% 3.52/3.91 , skol25, skol25, skol25, skol24, skol25 ) }.
% 3.52/3.91 parent0[0]: (46) {G0,W14,D2,L2,V3,M2} I { ! cong( Z, X, Z, Y ), eqangle( Z
% 3.52/3.91 , X, X, Y, X, Y, Z, Y ) }.
% 3.52/3.91 parent1[0]: (16183) {G4,W5,D2,L1,V0,M1} R(559,2436) { cong( skol24, skol25
% 3.52/3.91 , skol24, skol25 ) }.
% 3.52/3.91 substitution0:
% 3.52/3.91 X := skol25
% 3.52/3.91 Y := skol25
% 3.52/3.91 Z := skol24
% 3.52/3.91 end
% 3.52/3.91 substitution1:
% 3.52/3.91 end
% 3.52/3.91
% 3.52/3.91 subsumption: (16456) {G5,W9,D2,L1,V0,M1} R(16183,46) { eqangle( skol24,
% 3.52/3.91 skol25, skol25, skol25, skol25, skol25, skol24, skol25 ) }.
% 3.52/3.91 parent0: (23250) {G1,W9,D2,L1,V0,M1} { eqangle( skol24, skol25, skol25,
% 3.52/3.91 skol25, skol25, skol25, skol24, skol25 ) }.
% 3.52/3.91 substitution0:
% 3.52/3.91 end
% 3.52/3.91 permutation0:
% 3.52/3.91 0 ==> 0
% 3.52/3.91 end
% 3.52/3.91
% 3.52/3.91 resolution: (23251) {G2,W9,D2,L1,V0,M1} { eqangle( skol25, skol24, skol25
% 3.52/3.91 , skol25, skol25, skol25, skol24, skol25 ) }.
% 3.52/3.91 parent0[1]: (442) {G1,W18,D2,L2,V8,M2} R(20,17) { eqangle( X, Y, Z, T, U, W
% 3.52/3.91 , V0, V1 ), ! eqangle( Y, X, U, W, Z, T, V0, V1 ) }.
% 3.52/3.91 parent1[0]: (16456) {G5,W9,D2,L1,V0,M1} R(16183,46) { eqangle( skol24,
% 3.52/3.91 skol25, skol25, skol25, skol25, skol25, skol24, skol25 ) }.
% 3.52/3.91 substitution0:
% 3.52/3.91 X := skol25
% 3.52/3.91 Y := skol24
% 3.52/3.91 Z := skol25
% 3.52/3.91 T := skol25
% 3.52/3.91 U := skol25
% 3.52/3.91 W := skol25
% 3.52/3.91 V0 := skol24
% 3.52/3.91 V1 := skol25
% 3.52/3.91 end
% 3.52/3.91 substitution1:
% 3.52/3.91 end
% 3.52/3.91
% 3.52/3.91 subsumption: (16861) {G6,W9,D2,L1,V0,M1} R(16456,442) { eqangle( skol25,
% 3.52/3.91 skol24, skol25, skol25, skol25, skol25, skol24, skol25 ) }.
% 3.52/3.91 parent0: (23251) {G2,W9,D2,L1,V0,M1} { eqangle( skol25, skol24, skol25,
% 3.52/3.91 skol25, skol25, skol25, skol24, skol25 ) }.
% 3.52/3.91 substitution0:
% 3.52/3.91 end
% 3.52/3.91 permutation0:
% 3.52/3.91 0 ==> 0
% 3.52/3.91 end
% 3.52/3.91
% 3.52/3.91 resolution: (23252) {G1,W10,D2,L2,V0,M2} { para( skol24, skol25, skol25,
% 3.52/3.91 skol25 ), perp( skol24, skol25, skol25, skol25 ) }.
% 3.52/3.91 parent0[0]: (71) {G0,W19,D2,L3,V4,M3} I { ! eqangle( X, Y, Z, T, Z, T, X, Y
% 3.52/3.91 ), para( X, Y, Z, T ), perp( X, Y, Z, T ) }.
% 3.52/3.91 parent1[0]: (16456) {G5,W9,D2,L1,V0,M1} R(16183,46) { eqangle( skol24,
% 3.52/3.91 skol25, skol25, skol25, skol25, skol25, skol24, skol25 ) }.
% 3.52/3.91 substitution0:
% 3.52/3.91 X := skol24
% 3.52/3.91 Y := skol25
% 3.52/3.91 Z := skol25
% 3.52/3.91 T := skol25
% 3.52/3.91 end
% 3.52/3.91 substitution1:
% 3.52/3.91 end
% 3.52/3.91
% 3.52/3.91 resolution: (23253) {G2,W10,D2,L2,V0,M2} { perp( skol24, skol25, skol25,
% 3.52/3.91 skol25 ), perp( skol24, skol25, skol25, skol25 ) }.
% 3.52/3.91 parent0[1]: (15143) {G16,W10,D2,L2,V2,M2} R(15130,304) { perp( X, Y, skol25
% 3.52/3.91 , skol25 ), ! para( X, Y, skol25, skol25 ) }.
% 3.52/3.91 parent1[0]: (23252) {G1,W10,D2,L2,V0,M2} { para( skol24, skol25, skol25,
% 3.52/3.91 skol25 ), perp( skol24, skol25, skol25, skol25 ) }.
% 3.52/3.91 substitution0:
% 3.52/3.91 X := skol24
% 3.52/3.91 Y := skol25
% 3.52/3.91 end
% 3.52/3.91 substitution1:
% 3.52/3.91 end
% 3.52/3.91
% 3.52/3.91 factor: (23254) {G2,W5,D2,L1,V0,M1} { perp( skol24, skol25, skol25, skol25
% 3.52/3.91 ) }.
% 3.52/3.91 parent0[0, 1]: (23253) {G2,W10,D2,L2,V0,M2} { perp( skol24, skol25, skol25
% 3.52/3.91 , skol25 ), perp( skol24, skol25, skol25, skol25 ) }.
% 3.52/3.91 substitution0:
% 3.52/3.91 end
% 3.52/3.91
% 3.52/3.91 subsumption: (16865) {G17,W5,D2,L1,V0,M1} R(16456,71);r(15143) { perp(
% 3.52/3.91 skol24, skol25, skol25, skol25 ) }.
% 3.52/3.91 parent0: (23254) {G2,W5,D2,L1,V0,M1} { perp( skol24, skol25, skol25,
% 3.52/3.91 skol25 ) }.
% 3.52/3.91 substitution0:
% 3.52/3.91 end
% 3.52/3.91 permutation0:
% 3.52/3.91 0 ==> 0
% 3.52/3.91 end
% 3.52/3.91
% 3.52/3.91 resolution: (23255) {G2,W5,D2,L1,V0,M1} { perp( skol25, skol25, skol24,
% 3.52/3.91 skol25 ) }.
% 3.52/3.91 parent0[1]: (264) {G1,W10,D2,L2,V4,M2} R(7,6) { perp( X, Y, Z, T ), ! perp
% 3.52/3.91 ( Z, T, Y, X ) }.
% 3.52/3.91 parent1[0]: (16865) {G17,W5,D2,L1,V0,M1} R(16456,71);r(15143) { perp(
% 3.52/3.91 skol24, skol25, skol25, skol25 ) }.
% 3.52/3.91 substitution0:
% 3.52/3.91 X := skol25
% 3.52/3.91 Y := skol25
% 3.52/3.91 Z := skol24
% 3.52/3.91 T := skol25
% 3.52/3.91 end
% 3.52/3.91 substitution1:
% 3.52/3.91 end
% 3.52/3.91
% 3.52/3.91 subsumption: (16892) {G18,W5,D2,L1,V0,M1} R(16865,264) { perp( skol25,
% 3.52/3.91 skol25, skol24, skol25 ) }.
% 3.52/3.91 parent0: (23255) {G2,W5,D2,L1,V0,M1} { perp( skol25, skol25, skol24,
% 3.52/3.91 skol25 ) }.
% 3.52/3.91 substitution0:
% 3.52/3.91 end
% 3.52/3.91 permutation0:
% 3.52/3.91 0 ==> 0
% 3.52/3.91 end
% 3.52/3.91
% 3.52/3.91 resolution: (23256) {G2,W9,D2,L1,V0,M1} { eqangle( skol24, skol25, skol25
% 3.52/3.91 , skol25, skol25, skol25, skol25, skol24 ) }.
% 3.52/3.91 parent0[1]: (422) {G1,W18,D2,L2,V8,M2} R(19,18) { eqangle( X, Y, Z, T, U, W
% 3.52/3.91 , V0, V1 ), ! eqangle( V0, V1, U, W, Z, T, X, Y ) }.
% 3.52/3.91 parent1[0]: (16861) {G6,W9,D2,L1,V0,M1} R(16456,442) { eqangle( skol25,
% 3.52/3.91 skol24, skol25, skol25, skol25, skol25, skol24, skol25 ) }.
% 3.52/3.91 substitution0:
% 3.52/3.91 X := skol24
% 3.52/3.91 Y := skol25
% 3.52/3.91 Z := skol25
% 3.52/3.91 T := skol25
% 3.52/3.91 U := skol25
% 3.52/3.91 W := skol25
% 3.52/3.91 V0 := skol25
% 3.52/3.91 V1 := skol24
% 3.52/3.91 end
% 3.52/3.91 substitution1:
% 3.52/3.91 end
% 3.52/3.91
% 3.52/3.91 subsumption: (17142) {G7,W9,D2,L1,V0,M1} R(16861,422) { eqangle( skol24,
% 3.52/3.91 skol25, skol25, skol25, skol25, skol25, skol25, skol24 ) }.
% 3.52/3.91 parent0: (23256) {G2,W9,D2,L1,V0,M1} { eqangle( skol24, skol25, skol25,
% 3.52/3.91 skol25, skol25, skol25, skol25, skol24 ) }.
% 3.52/3.91 substitution0:
% 3.52/3.91 end
% 3.52/3.91 permutation0:
% 3.52/3.91 0 ==> 0
% 3.52/3.91 end
% 3.52/3.91
% 3.52/3.91 resolution: (23257) {G2,W9,D2,L1,V0,M1} { eqangle( skol25, skol25, skol25
% 3.52/3.91 , skol24, skol25, skol24, skol25, skol25 ) }.
% 3.52/3.91 parent0[1]: (423) {G1,W18,D2,L2,V8,M2} R(19,17) { eqangle( X, Y, Z, T, U, W
% 3.52/3.91 , V0, V1 ), ! eqangle( W, U, V0, V1, X, Y, Z, T ) }.
% 3.52/3.91 parent1[0]: (17142) {G7,W9,D2,L1,V0,M1} R(16861,422) { eqangle( skol24,
% 3.52/3.91 skol25, skol25, skol25, skol25, skol25, skol25, skol24 ) }.
% 3.52/3.91 substitution0:
% 3.52/3.91 X := skol25
% 3.52/3.91 Y := skol25
% 3.52/3.91 Z := skol25
% 3.52/3.91 T := skol24
% 3.52/3.91 U := skol25
% 3.52/3.91 W := skol24
% 3.52/3.91 V0 := skol25
% 3.52/3.91 V1 := skol25
% 3.52/3.91 end
% 3.52/3.91 substitution1:
% 3.52/3.91 end
% 3.52/3.91
% 3.52/3.91 subsumption: (17144) {G8,W9,D2,L1,V0,M1} R(17142,423) { eqangle( skol25,
% 3.52/3.91 skol25, skol25, skol24, skol25, skol24, skol25, skol25 ) }.
% 3.52/3.91 parent0: (23257) {G2,W9,D2,L1,V0,M1} { eqangle( skol25, skol25, skol25,
% 3.52/3.91 skol24, skol25, skol24, skol25, skol25 ) }.
% 3.52/3.91 substitution0:
% 3.52/3.91 end
% 3.52/3.91 permutation0:
% 3.52/3.91 0 ==> 0
% 3.52/3.91 end
% 3.52/3.91
% 3.52/3.91 resolution: (23258) {G1,W10,D2,L2,V0,M2} { para( skol25, skol25, skol25,
% 3.52/3.91 skol24 ), perp( skol25, skol25, skol25, skol24 ) }.
% 3.52/3.91 parent0[0]: (71) {G0,W19,D2,L3,V4,M3} I { ! eqangle( X, Y, Z, T, Z, T, X, Y
% 3.52/3.91 ), para( X, Y, Z, T ), perp( X, Y, Z, T ) }.
% 3.52/3.91 parent1[0]: (17144) {G8,W9,D2,L1,V0,M1} R(17142,423) { eqangle( skol25,
% 3.52/3.91 skol25, skol25, skol24, skol25, skol24, skol25, skol25 ) }.
% 3.52/3.91 substitution0:
% 3.52/3.91 X := skol25
% 3.52/3.91 Y := skol25
% 3.52/3.91 Z := skol25
% 3.52/3.91 T := skol24
% 3.52/3.91 end
% 3.52/3.91 substitution1:
% 3.52/3.91 end
% 3.52/3.91
% 3.52/3.91 resolution: (23259) {G2,W10,D2,L2,V0,M2} { para( skol25, skol25, skol25,
% 3.52/3.91 skol24 ), para( skol25, skol25, skol25, skol24 ) }.
% 3.52/3.91 parent0[0]: (15160) {G16,W10,D2,L2,V2,M2} R(15130,277) { ! perp( skol25,
% 3.52/3.91 skol25, X, Y ), para( skol25, skol25, X, Y ) }.
% 3.52/3.91 parent1[1]: (23258) {G1,W10,D2,L2,V0,M2} { para( skol25, skol25, skol25,
% 3.52/3.91 skol24 ), perp( skol25, skol25, skol25, skol24 ) }.
% 3.52/3.91 substitution0:
% 3.52/3.91 X := skol25
% 3.52/3.91 Y := skol24
% 3.52/3.91 end
% 3.52/3.91 substitution1:
% 3.52/3.91 end
% 3.52/3.91
% 3.52/3.91 factor: (23260) {G2,W5,D2,L1,V0,M1} { para( skol25, skol25, skol25, skol24
% 3.52/3.91 ) }.
% 3.52/3.91 parent0[0, 1]: (23259) {G2,W10,D2,L2,V0,M2} { para( skol25, skol25, skol25
% 3.52/3.91 , skol24 ), para( skol25, skol25, skol25, skol24 ) }.
% 3.52/3.91 substitution0:
% 3.52/3.91 end
% 3.52/3.91
% 3.52/3.91 subsumption: (17145) {G17,W5,D2,L1,V0,M1} R(17144,71);r(15160) { para(
% 3.52/3.91 skol25, skol25, skol25, skol24 ) }.
% 3.52/3.91 parent0: (23260) {G2,W5,D2,L1,V0,M1} { para( skol25, skol25, skol25,
% 3.52/3.91 skol24 ) }.
% 3.52/3.91 substitution0:
% 3.52/3.91 end
% 3.52/3.91 permutation0:
% 3.52/3.91 0 ==> 0
% 3.52/3.91 end
% 3.52/3.91
% 3.52/3.91 resolution: (23261) {G1,W5,D2,L1,V0,M1} { para( skol25, skol25, skol24,
% 3.52/3.91 skol25 ) }.
% 3.52/3.91 parent0[0]: (3) {G0,W10,D2,L2,V4,M2} I { ! para( X, Y, Z, T ), para( X, Y,
% 3.52/3.91 T, Z ) }.
% 3.52/3.91 parent1[0]: (17145) {G17,W5,D2,L1,V0,M1} R(17144,71);r(15160) { para(
% 3.52/3.91 skol25, skol25, skol25, skol24 ) }.
% 3.52/3.91 substitution0:
% 3.52/3.91 X := skol25
% 3.52/3.91 Y := skol25
% 3.52/3.91 Z := skol25
% 3.52/3.91 T := skol24
% 3.52/3.91 end
% 3.52/3.91 substitution1:
% 3.52/3.91 end
% 3.52/3.91
% 3.52/3.91 subsumption: (17178) {G18,W5,D2,L1,V0,M1} R(17145,3) { para( skol25, skol25
% 3.52/3.91 , skol24, skol25 ) }.
% 3.52/3.91 parent0: (23261) {G1,W5,D2,L1,V0,M1} { para( skol25, skol25, skol24,
% 3.52/3.91 skol25 ) }.
% 3.52/3.91 substitution0:
% 3.52/3.91 end
% 3.52/3.91 permutation0:
% 3.52/3.91 0 ==> 0
% 3.52/3.91 end
% 3.52/3.91
% 3.52/3.91 resolution: (23262) {G1,W9,D2,L1,V2,M1} { eqangle( skol25, skol25, X, Y,
% 3.52/3.91 skol24, skol25, X, Y ) }.
% 3.52/3.91 parent0[0]: (39) {G0,W14,D2,L2,V6,M2} I { ! para( X, Y, Z, T ), eqangle( X
% 3.52/3.91 , Y, U, W, Z, T, U, W ) }.
% 3.52/3.91 parent1[0]: (17178) {G18,W5,D2,L1,V0,M1} R(17145,3) { para( skol25, skol25
% 3.52/3.91 , skol24, skol25 ) }.
% 3.52/3.91 substitution0:
% 3.52/3.91 X := skol25
% 3.52/3.91 Y := skol25
% 3.52/3.91 Z := skol24
% 3.52/3.91 T := skol25
% 3.52/3.91 U := X
% 3.52/3.91 W := Y
% 3.52/3.91 end
% 3.52/3.91 substitution1:
% 3.52/3.91 end
% 3.52/3.91
% 3.52/3.91 subsumption: (17238) {G19,W9,D2,L1,V2,M1} R(17178,39) { eqangle( skol25,
% 3.52/3.91 skol25, X, Y, skol24, skol25, X, Y ) }.
% 3.52/3.91 parent0: (23262) {G1,W9,D2,L1,V2,M1} { eqangle( skol25, skol25, X, Y,
% 3.52/3.91 skol24, skol25, X, Y ) }.
% 3.52/3.91 substitution0:
% 3.52/3.91 X := X
% 3.52/3.91 Y := Y
% 3.52/3.91 end
% 3.52/3.91 permutation0:
% 3.52/3.91 0 ==> 0
% 3.52/3.91 end
% 3.52/3.91
% 3.52/3.91 resolution: (23263) {G2,W9,D2,L1,V2,M1} { eqangle( skol25, skol25, skol24
% 3.52/3.91 , skol25, X, Y, X, Y ) }.
% 3.52/3.91 parent0[1]: (442) {G1,W18,D2,L2,V8,M2} R(20,17) { eqangle( X, Y, Z, T, U, W
% 3.52/3.91 , V0, V1 ), ! eqangle( Y, X, U, W, Z, T, V0, V1 ) }.
% 3.52/3.91 parent1[0]: (17238) {G19,W9,D2,L1,V2,M1} R(17178,39) { eqangle( skol25,
% 3.52/3.91 skol25, X, Y, skol24, skol25, X, Y ) }.
% 3.52/3.91 substitution0:
% 3.52/3.91 X := skol25
% 3.52/3.91 Y := skol25
% 3.52/3.91 Z := skol24
% 3.52/3.91 T := skol25
% 3.52/3.91 U := X
% 3.52/3.91 W := Y
% 3.52/3.91 V0 := X
% 3.52/3.91 V1 := Y
% 3.52/3.91 end
% 3.52/3.91 substitution1:
% 3.52/3.91 X := X
% 3.52/3.91 Y := Y
% 3.52/3.91 end
% 3.52/3.91
% 3.52/3.91 subsumption: (17387) {G20,W9,D2,L1,V2,M1} R(17238,442) { eqangle( skol25,
% 3.52/3.91 skol25, skol24, skol25, X, Y, X, Y ) }.
% 3.52/3.91 parent0: (23263) {G2,W9,D2,L1,V2,M1} { eqangle( skol25, skol25, skol24,
% 3.52/3.91 skol25, X, Y, X, Y ) }.
% 3.52/3.91 substitution0:
% 3.52/3.91 X := X
% 3.52/3.91 Y := Y
% 3.52/3.91 end
% 3.52/3.91 permutation0:
% 3.52/3.91 0 ==> 0
% 3.52/3.91 end
% 3.52/3.91
% 3.52/3.91 resolution: (23264) {G2,W9,D2,L1,V2,M1} { eqangle( Y, X, X, Y, skol25,
% 3.52/3.91 skol25, skol24, skol25 ) }.
% 3.52/3.91 parent0[0]: (424) {G1,W18,D2,L2,V8,M2} R(19,17) { ! eqangle( X, Y, Z, T, U
% 3.52/3.91 , W, V0, V1 ), eqangle( W, U, V0, V1, X, Y, Z, T ) }.
% 3.52/3.91 parent1[0]: (17387) {G20,W9,D2,L1,V2,M1} R(17238,442) { eqangle( skol25,
% 3.52/3.91 skol25, skol24, skol25, X, Y, X, Y ) }.
% 3.52/3.91 substitution0:
% 3.52/3.91 X := skol25
% 3.52/3.91 Y := skol25
% 3.52/3.91 Z := skol24
% 3.52/3.91 T := skol25
% 3.52/3.91 U := X
% 3.52/3.91 W := Y
% 3.52/3.91 V0 := X
% 3.52/3.91 V1 := Y
% 3.52/3.91 end
% 3.52/3.91 substitution1:
% 3.52/3.91 X := X
% 3.52/3.91 Y := Y
% 3.52/3.91 end
% 3.52/3.91
% 3.52/3.91 subsumption: (17393) {G21,W9,D2,L1,V2,M1} R(17387,424) { eqangle( X, Y, Y,
% 3.52/3.91 X, skol25, skol25, skol24, skol25 ) }.
% 3.52/3.91 parent0: (23264) {G2,W9,D2,L1,V2,M1} { eqangle( Y, X, X, Y, skol25, skol25
% 3.52/3.91 , skol24, skol25 ) }.
% 3.52/3.91 substitution0:
% 3.52/3.91 X := Y
% 3.52/3.91 Y := X
% 3.52/3.91 end
% 3.52/3.91 permutation0:
% 3.52/3.91 0 ==> 0
% 3.52/3.91 end
% 3.52/3.91
% 3.52/3.91 resolution: (23265) {G1,W10,D2,L2,V2,M2} { ! perp( skol25, skol25, skol24
% 3.52/3.91 , skol25 ), perp( X, Y, Y, X ) }.
% 3.52/3.91 parent0[0]: (73) {G0,W19,D2,L3,V8,M3} I { ! eqangle( X, Y, Z, T, U, W, V0,
% 3.52/3.91 V1 ), ! perp( U, W, V0, V1 ), perp( X, Y, Z, T ) }.
% 3.52/3.91 parent1[0]: (17393) {G21,W9,D2,L1,V2,M1} R(17387,424) { eqangle( X, Y, Y, X
% 3.52/3.91 , skol25, skol25, skol24, skol25 ) }.
% 3.52/3.91 substitution0:
% 3.52/3.91 X := X
% 3.52/3.91 Y := Y
% 3.52/3.91 Z := Y
% 3.52/3.91 T := X
% 3.52/3.91 U := skol25
% 3.52/3.91 W := skol25
% 3.52/3.91 V0 := skol24
% 3.52/3.91 V1 := skol25
% 3.52/3.91 end
% 3.52/3.91 substitution1:
% 3.52/3.91 X := X
% 3.52/3.91 Y := Y
% 3.52/3.91 end
% 3.52/3.91
% 3.52/3.91 resolution: (23266) {G2,W5,D2,L1,V2,M1} { perp( X, Y, Y, X ) }.
% 3.52/3.91 parent0[0]: (23265) {G1,W10,D2,L2,V2,M2} { ! perp( skol25, skol25, skol24
% 3.52/3.91 , skol25 ), perp( X, Y, Y, X ) }.
% 3.52/3.91 parent1[0]: (16892) {G18,W5,D2,L1,V0,M1} R(16865,264) { perp( skol25,
% 3.52/3.91 skol25, skol24, skol25 ) }.
% 3.52/3.91 substitution0:
% 3.52/3.91 X := X
% 3.52/3.91 Y := Y
% 3.52/3.91 end
% 3.52/3.91 substitution1:
% 3.52/3.91 end
% 3.52/3.91
% 3.52/3.91 subsumption: (17400) {G22,W5,D2,L1,V2,M1} R(17393,73);r(16892) { perp( X, Y
% 3.52/3.91 , Y, X ) }.
% 3.52/3.91 parent0: (23266) {G2,W5,D2,L1,V2,M1} { perp( X, Y, Y, X ) }.
% 3.52/3.91 substitution0:
% 3.52/3.91 X := X
% 3.52/3.91 Y := Y
% 3.52/3.91 end
% 3.52/3.91 permutation0:
% 3.52/3.91 0 ==> 0
% 3.52/3.91 end
% 3.52/3.91
% 3.52/3.91 resolution: (23267) {G2,W5,D2,L1,V2,M1} { perp( Y, X, Y, X ) }.
% 3.52/3.91 parent0[0]: (265) {G1,W10,D2,L2,V4,M2} R(7,6) { ! perp( X, Y, Z, T ), perp
% 3.52/3.91 ( Z, T, Y, X ) }.
% 3.52/3.91 parent1[0]: (17400) {G22,W5,D2,L1,V2,M1} R(17393,73);r(16892) { perp( X, Y
% 3.52/3.91 , Y, X ) }.
% 3.52/3.91 substitution0:
% 3.52/3.91 X := X
% 3.52/3.91 Y := Y
% 3.52/3.91 Z := Y
% 3.52/3.91 T := X
% 3.52/3.91 end
% 3.52/3.91 substitution1:
% 3.52/3.91 X := X
% 3.52/3.91 Y := Y
% 3.52/3.91 end
% 3.52/3.91
% 3.52/3.91 subsumption: (17438) {G23,W5,D2,L1,V2,M1} R(17400,265) { perp( X, Y, X, Y )
% 3.52/3.91 }.
% 3.52/3.91 parent0: (23267) {G2,W5,D2,L1,V2,M1} { perp( Y, X, Y, X ) }.
% 3.52/3.91 substitution0:
% 3.52/3.91 X := Y
% 3.52/3.91 Y := X
% 3.52/3.91 end
% 3.52/3.91 permutation0:
% 3.52/3.91 0 ==> 0
% 3.52/3.91 end
% 3.52/3.91
% 3.52/3.91 resolution: (23268) {G2,W4,D2,L1,V2,M1} { alpha1( X, X, Y ) }.
% 3.52/3.91 parent0[0]: (152) {G1,W9,D2,L2,V3,M2} F(96) { ! perp( X, Y, X, Z ), alpha1
% 3.52/3.91 ( X, X, Z ) }.
% 3.52/3.91 parent1[0]: (17438) {G23,W5,D2,L1,V2,M1} R(17400,265) { perp( X, Y, X, Y )
% 3.52/3.91 }.
% 3.52/3.91 substitution0:
% 3.52/3.91 X := X
% 3.52/3.91 Y := Y
% 3.52/3.91 Z := Y
% 3.52/3.91 end
% 3.52/3.91 substitution1:
% 3.52/3.91 X := X
% 3.52/3.91 Y := Y
% 3.52/3.91 end
% 3.52/3.91
% 3.52/3.91 subsumption: (17461) {G24,W4,D2,L1,V2,M1} R(17438,152) { alpha1( X, X, Y )
% 3.52/3.91 }.
% 3.52/3.91 parent0: (23268) {G2,W4,D2,L1,V2,M1} { alpha1( X, X, Y ) }.
% 3.52/3.91 substitution0:
% 3.52/3.91 X := X
% 3.52/3.91 Y := Y
% 3.52/3.91 end
% 3.52/3.91 permutation0:
% 3.52/3.91 0 ==> 0
% 3.52/3.91 end
% 3.52/3.91
% 3.52/3.91 resolution: (23269) {G1,W8,D3,L1,V2,M1} { perp( X, skol11( X, X, Y ), Y, X
% 3.52/3.91 ) }.
% 3.52/3.91 parent0[0]: (98) {G0,W12,D3,L2,V3,M2} I { ! alpha1( X, Y, Z ), perp( Y,
% 3.52/3.91 skol11( X, Y, Z ), Z, X ) }.
% 3.52/3.91 parent1[0]: (17461) {G24,W4,D2,L1,V2,M1} R(17438,152) { alpha1( X, X, Y )
% 3.52/3.91 }.
% 3.52/3.91 substitution0:
% 3.52/3.91 X := X
% 3.52/3.91 Y := X
% 3.52/3.91 Z := Y
% 3.52/3.91 end
% 3.52/3.91 substitution1:
% 3.52/3.91 X := X
% 3.52/3.91 Y := Y
% 3.52/3.91 end
% 3.52/3.91
% 3.52/3.91 subsumption: (17468) {G25,W8,D3,L1,V2,M1} R(17461,98) { perp( X, skol11( X
% 3.52/3.91 , X, Y ), Y, X ) }.
% 3.52/3.91 parent0: (23269) {G1,W8,D3,L1,V2,M1} { perp( X, skol11( X, X, Y ), Y, X )
% 3.52/3.91 }.
% 3.52/3.91 substitution0:
% 3.52/3.91 X := X
% 3.52/3.91 Y := Y
% 3.52/3.91 end
% 3.52/3.91 permutation0:
% 3.52/3.91 0 ==> 0
% 3.52/3.91 end
% 3.52/3.91
% 3.52/3.91 resolution: (23270) {G2,W8,D3,L1,V0,M1} { ! para( skol24, skol23, skol22,
% 3.52/3.91 skol11( skol22, skol22, skol20 ) ) }.
% 3.52/3.91 parent0[1]: (306) {G1,W10,D2,L2,V2,M2} R(9,122) { ! para( skol24, skol23, X
% 3.52/3.91 , Y ), ! perp( X, Y, skol20, skol22 ) }.
% 3.52/3.91 parent1[0]: (17468) {G25,W8,D3,L1,V2,M1} R(17461,98) { perp( X, skol11( X,
% 3.52/3.91 X, Y ), Y, X ) }.
% 3.52/3.91 substitution0:
% 3.52/3.91 X := skol22
% 3.52/3.91 Y := skol11( skol22, skol22, skol20 )
% 3.52/3.91 end
% 3.52/3.91 substitution1:
% 3.52/3.91 X := skol22
% 3.52/3.91 Y := skol20
% 3.52/3.91 end
% 3.52/3.91
% 3.52/3.91 subsumption: (17822) {G26,W8,D3,L1,V0,M1} R(17468,306) { ! para( skol24,
% 3.52/3.91 skol23, skol22, skol11( skol22, skol22, skol20 ) ) }.
% 3.52/3.91 parent0: (23270) {G2,W8,D3,L1,V0,M1} { ! para( skol24, skol23, skol22,
% 3.52/3.91 skol11( skol22, skol22, skol20 ) ) }.
% 3.52/3.91 substitution0:
% 3.52/3.91 end
% 3.52/3.91 permutation0:
% 3.52/3.91 0 ==> 0
% 3.52/3.91 end
% 3.52/3.91
% 3.52/3.91 resolution: (23271) {G2,W10,D2,L2,V3,M2} { cyclic( Z, Y, X, X ), ! para( X
% 3.52/3.91 , Z, X, Z ) }.
% 3.52/3.91 parent0[0]: (783) {G1,W14,D2,L3,V3,M3} R(42,39) { ! coll( X, X, Y ), cyclic
% 3.52/3.91 ( Z, Y, X, X ), ! para( X, Z, X, Z ) }.
% 3.52/3.91 parent1[0]: (8022) {G16,W4,D2,L1,V3,M1} R(8009,2);r(8009) { coll( Z, Y, X )
% 3.52/3.91 }.
% 3.52/3.91 substitution0:
% 3.52/3.91 X := X
% 3.52/3.91 Y := Y
% 3.52/3.91 Z := Z
% 3.52/3.91 end
% 3.52/3.91 substitution1:
% 3.52/3.91 X := Y
% 3.52/3.91 Y := X
% 3.52/3.91 Z := X
% 3.52/3.91 end
% 3.52/3.91
% 3.52/3.91 resolution: (23272) {G3,W5,D2,L1,V3,M1} { cyclic( X, Y, Z, Z ) }.
% 3.52/3.91 parent0[1]: (23271) {G2,W10,D2,L2,V3,M2} { cyclic( Z, Y, X, X ), ! para( X
% 3.52/3.91 , Z, X, Z ) }.
% 3.52/3.91 parent1[0]: (9369) {G24,W5,D2,L1,V2,M1} R(286,8416) { para( X, Y, X, Y )
% 3.52/3.91 }.
% 3.52/3.91 substitution0:
% 3.52/3.91 X := Z
% 3.52/3.91 Y := Y
% 3.52/3.91 Z := X
% 3.52/3.91 end
% 3.52/3.91 substitution1:
% 3.52/3.91 X := Z
% 3.52/3.91 Y := X
% 3.52/3.91 end
% 3.52/3.91
% 3.52/3.91 subsumption: (20216) {G25,W5,D2,L1,V3,M1} S(783);r(8022);r(9369) { cyclic(
% 3.52/3.91 Z, Y, X, X ) }.
% 3.52/3.91 parent0: (23272) {G3,W5,D2,L1,V3,M1} { cyclic( X, Y, Z, Z ) }.
% 3.52/3.91 substitution0:
% 3.52/3.91 X := Z
% 3.52/3.91 Y := Y
% 3.52/3.91 Z := X
% 3.52/3.91 end
% 3.52/3.91 permutation0:
% 3.52/3.91 0 ==> 0
% 3.52/3.91 end
% 3.52/3.91
% 3.52/3.91 resolution: (23273) {G2,W5,D2,L1,V3,M1} { cyclic( Y, Z, X, Z ) }.
% 3.52/3.91 parent0[0]: (365) {G1,W10,D2,L2,V4,M2} R(15,14) { ! cyclic( X, Y, Z, T ),
% 3.52/3.91 cyclic( Y, Z, X, T ) }.
% 3.52/3.91 parent1[0]: (20216) {G25,W5,D2,L1,V3,M1} S(783);r(8022);r(9369) { cyclic( Z
% 3.52/3.91 , Y, X, X ) }.
% 3.52/3.91 substitution0:
% 3.52/3.91 X := X
% 3.52/3.91 Y := Y
% 3.52/3.91 Z := Z
% 3.52/3.91 T := Z
% 3.52/3.91 end
% 3.52/3.91 substitution1:
% 3.52/3.91 X := Z
% 3.52/3.91 Y := Y
% 3.52/3.91 Z := X
% 3.52/3.91 end
% 3.52/3.91
% 3.52/3.91 subsumption: (20253) {G26,W5,D2,L1,V3,M1} R(20216,365) { cyclic( X, Y, Z, Y
% 3.52/3.91 ) }.
% 3.52/3.91 parent0: (23273) {G2,W5,D2,L1,V3,M1} { cyclic( Y, Z, X, Z ) }.
% 3.52/3.91 substitution0:
% 3.52/3.91 X := Z
% 3.52/3.91 Y := X
% 3.52/3.91 Z := Y
% 3.52/3.91 end
% 3.52/3.91 permutation0:
% 3.52/3.91 0 ==> 0
% 3.52/3.91 end
% 3.52/3.91
% 3.52/3.91 resolution: (23274) {G2,W5,D2,L1,V3,M1} { cyclic( X, Z, Z, Y ) }.
% 3.52/3.91 parent0[0]: (347) {G1,W10,D2,L2,V4,M2} R(14,13) { ! cyclic( X, Y, Z, T ),
% 3.52/3.91 cyclic( X, Z, T, Y ) }.
% 3.52/3.91 parent1[0]: (20216) {G25,W5,D2,L1,V3,M1} S(783);r(8022);r(9369) { cyclic( Z
% 3.52/3.91 , Y, X, X ) }.
% 3.52/3.91 substitution0:
% 3.52/3.91 X := X
% 3.52/3.91 Y := Y
% 3.52/3.91 Z := Z
% 3.52/3.91 T := Z
% 3.52/3.91 end
% 3.52/3.91 substitution1:
% 3.52/3.91 X := Z
% 3.52/3.91 Y := Y
% 3.52/3.91 Z := X
% 3.52/3.91 end
% 3.52/3.91
% 3.52/3.91 subsumption: (20255) {G26,W5,D2,L1,V3,M1} R(20216,347) { cyclic( X, Y, Y, Z
% 3.52/3.91 ) }.
% 3.52/3.91 parent0: (23274) {G2,W5,D2,L1,V3,M1} { cyclic( X, Z, Z, Y ) }.
% 3.52/3.91 substitution0:
% 3.52/3.91 X := X
% 3.52/3.91 Y := Z
% 3.52/3.91 Z := Y
% 3.52/3.91 end
% 3.52/3.91 permutation0:
% 3.52/3.91 0 ==> 0
% 3.52/3.91 end
% 3.52/3.91
% 3.52/3.91 resolution: (23276) {G2,W10,D2,L2,V4,M2} { ! cyclic( X, Y, Y, Z ), cyclic
% 3.52/3.91 ( Y, Y, Z, T ) }.
% 3.52/3.91 parent0[2]: (390) {G1,W15,D2,L3,V5,M3} R(16,13) { ! cyclic( X, Y, Z, T ),
% 3.52/3.91 cyclic( Y, Z, T, U ), ! cyclic( X, Y, U, Z ) }.
% 3.52/3.91 parent1[0]: (20253) {G26,W5,D2,L1,V3,M1} R(20216,365) { cyclic( X, Y, Z, Y
% 3.52/3.91 ) }.
% 3.52/3.91 substitution0:
% 3.52/3.91 X := X
% 3.52/3.91 Y := Y
% 3.52/3.91 Z := Y
% 3.52/3.91 T := Z
% 3.52/3.91 U := T
% 3.52/3.91 end
% 3.52/3.91 substitution1:
% 3.52/3.91 X := X
% 3.52/3.91 Y := Y
% 3.52/3.91 Z := T
% 3.52/3.91 end
% 3.52/3.91
% 3.52/3.91 resolution: (23277) {G3,W5,D2,L1,V3,M1} { cyclic( Y, Y, Z, T ) }.
% 3.52/3.91 parent0[0]: (23276) {G2,W10,D2,L2,V4,M2} { ! cyclic( X, Y, Y, Z ), cyclic
% 3.52/3.91 ( Y, Y, Z, T ) }.
% 3.52/3.91 parent1[0]: (20255) {G26,W5,D2,L1,V3,M1} R(20216,347) { cyclic( X, Y, Y, Z
% 3.52/3.91 ) }.
% 3.52/3.91 substitution0:
% 3.52/3.91 X := X
% 3.52/3.91 Y := Y
% 3.52/3.91 Z := Z
% 3.52/3.91 T := T
% 3.52/3.91 end
% 3.52/3.91 substitution1:
% 3.52/3.91 X := X
% 3.52/3.91 Y := Y
% 3.52/3.91 Z := Z
% 3.52/3.91 end
% 3.52/3.91
% 3.52/3.91 subsumption: (20259) {G27,W5,D2,L1,V3,M1} R(20253,390);r(20255) { cyclic( Y
% 3.52/3.91 , Y, Z, T ) }.
% 3.52/3.91 parent0: (23277) {G3,W5,D2,L1,V3,M1} { cyclic( Y, Y, Z, T ) }.
% 3.52/3.91 substitution0:
% 3.52/3.91 X := U
% 3.52/3.91 Y := Y
% 3.52/3.91 Z := Z
% 3.52/3.91 T := T
% 3.52/3.91 end
% 3.52/3.91 permutation0:
% 3.52/3.91 0 ==> 0
% 3.52/3.91 end
% 3.52/3.91
% 3.52/3.91 resolution: (23278) {G2,W10,D2,L2,V4,M2} { cyclic( X, Y, Z, T ), ! cyclic
% 3.52/3.91 ( X, X, T, Y ) }.
% 3.52/3.91 parent0[0]: (390) {G1,W15,D2,L3,V5,M3} R(16,13) { ! cyclic( X, Y, Z, T ),
% 3.52/3.91 cyclic( Y, Z, T, U ), ! cyclic( X, Y, U, Z ) }.
% 3.52/3.91 parent1[0]: (20259) {G27,W5,D2,L1,V3,M1} R(20253,390);r(20255) { cyclic( Y
% 3.52/3.91 , Y, Z, T ) }.
% 3.52/3.91 substitution0:
% 3.52/3.91 X := X
% 3.52/3.91 Y := X
% 3.52/3.91 Z := Y
% 3.52/3.91 T := Z
% 3.52/3.91 U := T
% 3.52/3.91 end
% 3.52/3.91 substitution1:
% 3.52/3.91 X := U
% 3.52/3.91 Y := X
% 3.52/3.91 Z := Y
% 3.52/3.91 T := Z
% 3.52/3.91 end
% 3.52/3.91
% 3.52/3.91 resolution: (23280) {G3,W5,D2,L1,V4,M1} { cyclic( X, Y, Z, T ) }.
% 3.52/3.91 parent0[1]: (23278) {G2,W10,D2,L2,V4,M2} { cyclic( X, Y, Z, T ), ! cyclic
% 3.52/3.91 ( X, X, T, Y ) }.
% 3.52/3.91 parent1[0]: (20259) {G27,W5,D2,L1,V3,M1} R(20253,390);r(20255) { cyclic( Y
% 3.52/3.91 , Y, Z, T ) }.
% 3.52/3.91 substitution0:
% 3.52/3.91 X := X
% 3.52/3.91 Y := Y
% 3.52/3.91 Z := Z
% 3.52/3.91 T := T
% 3.52/3.91 end
% 3.52/3.91 substitution1:
% 3.52/3.91 X := U
% 3.52/3.91 Y := X
% 3.52/3.91 Z := T
% 3.52/3.91 T := Y
% 3.52/3.91 end
% 3.52/3.91
% 3.52/3.91 subsumption: (20267) {G28,W5,D2,L1,V4,M1} R(20259,390);r(20259) { cyclic( X
% 3.52/3.91 , Y, Z, T ) }.
% 3.52/3.91 parent0: (23280) {G3,W5,D2,L1,V4,M1} { cyclic( X, Y, Z, T ) }.
% 3.52/3.91 substitution0:
% 3.52/3.91 X := X
% 3.52/3.91 Y := Y
% 3.52/3.91 Z := Z
% 3.52/3.91 T := T
% 3.52/3.91 end
% 3.52/3.91 permutation0:
% 3.52/3.91 0 ==> 0
% 3.52/3.91 end
% 3.52/3.91
% 3.52/3.91 resolution: (23283) {G3,W10,D2,L2,V3,M2} { ! cyclic( X, Y, Z, Y ), cong( X
% 3.52/3.91 , Y, X, Y ) }.
% 3.52/3.91 parent0[0]: (945) {G2,W15,D2,L3,V3,M3} F(913) { ! cyclic( X, Y, Z, X ), !
% 3.52/3.91 cyclic( X, Y, Z, Y ), cong( X, Y, X, Y ) }.
% 3.52/3.91 parent1[0]: (20267) {G28,W5,D2,L1,V4,M1} R(20259,390);r(20259) { cyclic( X
% 3.52/3.91 , Y, Z, T ) }.
% 3.52/3.91 substitution0:
% 3.52/3.91 X := X
% 3.52/3.91 Y := Y
% 3.52/3.91 Z := Z
% 3.52/3.91 end
% 3.52/3.91 substitution1:
% 3.52/3.91 X := X
% 3.52/3.91 Y := Y
% 3.52/3.91 Z := Z
% 3.52/3.91 T := X
% 3.52/3.91 end
% 3.52/3.91
% 3.52/3.91 resolution: (23285) {G4,W5,D2,L1,V2,M1} { cong( X, Y, X, Y ) }.
% 3.52/3.91 parent0[0]: (23283) {G3,W10,D2,L2,V3,M2} { ! cyclic( X, Y, Z, Y ), cong( X
% 3.52/3.91 , Y, X, Y ) }.
% 3.52/3.91 parent1[0]: (20267) {G28,W5,D2,L1,V4,M1} R(20259,390);r(20259) { cyclic( X
% 3.52/3.91 , Y, Z, T ) }.
% 3.52/3.91 substitution0:
% 3.52/3.91 X := X
% 3.52/3.91 Y := Y
% 3.52/3.91 Z := Z
% 3.52/3.91 end
% 3.52/3.91 substitution1:
% 3.52/3.91 X := X
% 3.52/3.91 Y := Y
% 3.52/3.91 Z := Z
% 3.52/3.91 T := Y
% 3.52/3.91 end
% 3.52/3.91
% 3.52/3.91 subsumption: (22234) {G29,W5,D2,L1,V2,M1} S(945);r(20267);r(20267) { cong(
% 3.52/3.91 X, Y, X, Y ) }.
% 3.52/3.91 parent0: (23285) {G4,W5,D2,L1,V2,M1} { cong( X, Y, X, Y ) }.
% 3.52/3.91 substitution0:
% 3.52/3.91 X := X
% 3.52/3.91 Y := Y
% 3.52/3.91 end
% 3.52/3.91 permutation0:
% 3.52/3.91 0 ==> 0
% 3.52/3.91 end
% 3.52/3.91
% 3.52/3.91 resolution: (23286) {G1,W10,D2,L2,V3,M2} { ! cong( X, Z, X, Z ), perp( X,
% 3.52/3.91 X, Y, Z ) }.
% 3.52/3.91 parent0[0]: (56) {G0,W15,D2,L3,V4,M3} I { ! cong( X, Z, Y, Z ), ! cong( X,
% 3.52/3.91 T, Y, T ), perp( X, Y, Z, T ) }.
% 3.52/3.91 parent1[0]: (22234) {G29,W5,D2,L1,V2,M1} S(945);r(20267);r(20267) { cong( X
% 3.52/3.91 , Y, X, Y ) }.
% 3.52/3.91 substitution0:
% 3.52/3.91 X := X
% 3.52/3.91 Y := X
% 3.52/3.91 Z := Y
% 3.52/3.91 T := Z
% 3.52/3.91 end
% 3.52/3.91 substitution1:
% 3.52/3.91 X := X
% 3.52/3.91 Y := Y
% 3.52/3.91 end
% 3.52/3.91
% 3.52/3.91 resolution: (23288) {G2,W5,D2,L1,V3,M1} { perp( X, X, Z, Y ) }.
% 3.52/3.91 parent0[0]: (23286) {G1,W10,D2,L2,V3,M2} { ! cong( X, Z, X, Z ), perp( X,
% 3.52/3.91 X, Y, Z ) }.
% 3.52/3.91 parent1[0]: (22234) {G29,W5,D2,L1,V2,M1} S(945);r(20267);r(20267) { cong( X
% 3.52/3.91 , Y, X, Y ) }.
% 3.52/3.91 substitution0:
% 3.52/3.91 X := X
% 3.52/3.91 Y := Z
% 3.52/3.91 Z := Y
% 3.52/3.91 end
% 3.52/3.91 substitution1:
% 3.52/3.91 X := X
% 3.52/3.91 Y := Y
% 3.52/3.91 end
% 3.52/3.91
% 3.52/3.91 subsumption: (22244) {G30,W5,D2,L1,V3,M1} R(22234,56);r(22234) { perp( X, X
% 3.52/3.91 , Z, Y ) }.
% 3.52/3.91 parent0: (23288) {G2,W5,D2,L1,V3,M1} { perp( X, X, Z, Y ) }.
% 3.52/3.91 substitution0:
% 3.52/3.91 X := X
% 3.52/3.91 Y := Y
% 3.52/3.91 Z := Z
% 3.52/3.91 end
% 3.52/3.91 permutation0:
% 3.52/3.91 0 ==> 0
% 3.52/3.91 end
% 3.52/3.91
% 3.52/3.91 resolution: (23289) {G2,W10,D2,L2,V5,M2} { para( T, U, Y, Z ), ! perp( X,
% 3.52/3.91 X, T, U ) }.
% 3.52/3.91 parent0[0]: (275) {G1,W15,D2,L3,V6,M3} R(8,7) { ! perp( X, Y, Z, T ), para
% 3.52/3.91 ( U, W, Z, T ), ! perp( X, Y, U, W ) }.
% 3.52/3.91 parent1[0]: (22244) {G30,W5,D2,L1,V3,M1} R(22234,56);r(22234) { perp( X, X
% 3.52/3.91 , Z, Y ) }.
% 3.52/3.91 substitution0:
% 3.52/3.91 X := X
% 3.52/3.91 Y := X
% 3.52/3.91 Z := Y
% 3.52/3.91 T := Z
% 3.52/3.91 U := T
% 3.52/3.91 W := U
% 3.52/3.91 end
% 3.52/3.91 substitution1:
% 3.52/3.91 X := X
% 3.52/3.91 Y := Z
% 3.52/3.91 Z := Y
% 3.52/3.91 end
% 3.52/3.91
% 3.52/3.91 resolution: (23291) {G3,W5,D2,L1,V4,M1} { para( X, Y, Z, T ) }.
% 3.52/3.91 parent0[1]: (23289) {G2,W10,D2,L2,V5,M2} { para( T, U, Y, Z ), ! perp( X,
% 3.52/3.91 X, T, U ) }.
% 3.52/3.91 parent1[0]: (22244) {G30,W5,D2,L1,V3,M1} R(22234,56);r(22234) { perp( X, X
% 3.52/3.91 , Z, Y ) }.
% 3.52/3.91 substitution0:
% 3.52/3.91 X := U
% 3.52/3.91 Y := Z
% 3.52/3.91 Z := T
% 3.52/3.91 T := X
% 3.52/3.91 U := Y
% 3.52/3.91 end
% 3.52/3.91 substitution1:
% 3.52/3.91 X := U
% 3.52/3.91 Y := Y
% 3.52/3.91 Z := X
% 3.52/3.91 end
% 3.52/3.91
% 3.52/3.91 subsumption: (22277) {G31,W5,D2,L1,V4,M1} R(22244,275);r(22244) { para( X,
% 3.52/3.91 Y, Z, T ) }.
% 3.52/3.91 parent0: (23291) {G3,W5,D2,L1,V4,M1} { para( X, Y, Z, T ) }.
% 3.52/3.91 substitution0:
% 3.52/3.91 X := X
% 3.52/3.91 Y := Y
% 3.52/3.91 Z := Z
% 3.52/3.91 T := T
% 3.52/3.91 end
% 3.52/3.91 permutation0:
% 3.52/3.91 0 ==> 0
% 3.52/3.91 end
% 3.52/3.91
% 3.52/3.91 resolution: (23292) {G27,W0,D0,L0,V0,M0} { }.
% 3.52/3.91 parent0[0]: (17822) {G26,W8,D3,L1,V0,M1} R(17468,306) { ! para( skol24,
% 3.52/3.91 skol23, skol22, skol11( skol22, skol22, skol20 ) ) }.
% 3.52/3.91 parent1[0]: (22277) {G31,W5,D2,L1,V4,M1} R(22244,275);r(22244) { para( X, Y
% 3.52/3.91 , Z, T ) }.
% 3.52/3.91 substitution0:
% 3.52/3.91 end
% 3.52/3.91 substitution1:
% 3.52/3.91 X := skol24
% 3.52/3.91 Y := skol23
% 3.52/3.91 Z := skol22
% 3.52/3.91 T := skol11( skol22, skol22, skol20 )
% 3.52/3.91 end
% 3.52/3.91
% 3.52/3.91 subsumption: (22288) {G32,W0,D0,L0,V0,M0} R(22277,17822) { }.
% 3.52/3.91 parent0: (23292) {G27,W0,D0,L0,V0,M0} { }.
% 3.52/3.91 substitution0:
% 3.52/3.91 end
% 3.52/3.91 permutation0:
% 3.52/3.91 end
% 3.52/3.91
% 3.52/3.91 Proof check complete!
% 3.52/3.91
% 3.52/3.91 Memory use:
% 3.52/3.91
% 3.52/3.91 space for terms: 355916
% 3.52/3.91 space for clauses: 1172729
% 3.52/3.91
% 3.52/3.91
% 3.52/3.91 clauses generated: 139916
% 3.52/3.91 clauses kept: 22289
% 3.52/3.91 clauses selected: 2215
% 3.52/3.91 clauses deleted: 8445
% 3.52/3.91 clauses inuse deleted: 891
% 3.52/3.91
% 3.52/3.91 subsentry: 2050903
% 3.52/3.91 literals s-matched: 1360727
% 3.52/3.91 literals matched: 765912
% 3.52/3.91 full subsumption: 298916
% 3.52/3.91
% 3.52/3.91 checksum: -2035509890
% 3.52/3.91
% 3.52/3.91
% 3.52/3.91 Bliksem ended
%------------------------------------------------------------------------------