TSTP Solution File: GEO647+1 by Bliksem---1.12
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : GEO647+1 : TPTP v8.1.0. Released v7.5.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n025.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 0s
% DateTime : Sat Jul 16 02:55:20 EDT 2022
% Result : Theorem 48.20s 48.65s
% Output : Refutation 48.20s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.11 % Problem : GEO647+1 : TPTP v8.1.0. Released v7.5.0.
% 0.06/0.12 % Command : bliksem %s
% 0.12/0.33 % Computer : n025.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 13:21:13 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.77/1.17 *** allocated 10000 integers for termspace/termends
% 0.77/1.17 *** allocated 10000 integers for clauses
% 0.77/1.17 *** allocated 10000 integers for justifications
% 0.77/1.17 Bliksem 1.12
% 0.77/1.17
% 0.77/1.17
% 0.77/1.17 Automatic Strategy Selection
% 0.77/1.17
% 0.77/1.17 *** allocated 15000 integers for termspace/termends
% 0.77/1.17
% 0.77/1.17 Clauses:
% 0.77/1.17
% 0.77/1.17 { ! coll( X, Y, Z ), coll( X, Z, Y ) }.
% 0.77/1.17 { ! coll( X, Y, Z ), coll( Y, X, Z ) }.
% 0.77/1.17 { ! coll( X, T, Y ), ! coll( X, T, Z ), coll( Y, Z, X ) }.
% 0.77/1.17 { ! para( X, Y, Z, T ), para( X, Y, T, Z ) }.
% 0.77/1.17 { ! para( X, Y, Z, T ), para( Z, T, X, Y ) }.
% 0.77/1.17 { ! para( X, Y, U, W ), ! para( U, W, Z, T ), para( X, Y, Z, T ) }.
% 0.77/1.17 { ! perp( X, Y, Z, T ), perp( X, Y, T, Z ) }.
% 0.77/1.17 { ! perp( X, Y, Z, T ), perp( Z, T, X, Y ) }.
% 0.77/1.17 { ! perp( X, Y, U, W ), ! perp( U, W, Z, T ), para( X, Y, Z, T ) }.
% 0.77/1.17 { ! para( X, Y, U, W ), ! perp( U, W, Z, T ), perp( X, Y, Z, T ) }.
% 0.77/1.17 { ! midp( Z, Y, X ), midp( Z, X, Y ) }.
% 0.77/1.17 { ! cong( T, X, T, Y ), ! cong( T, X, T, Z ), circle( T, X, Y, Z ) }.
% 0.77/1.17 { ! cong( U, X, U, Y ), ! cong( U, X, U, Z ), ! cong( U, X, U, T ), cyclic
% 0.77/1.17 ( X, Y, Z, T ) }.
% 0.77/1.17 { ! cyclic( X, Y, Z, T ), cyclic( X, Y, T, Z ) }.
% 0.77/1.17 { ! cyclic( X, Y, Z, T ), cyclic( X, Z, Y, T ) }.
% 0.77/1.17 { ! cyclic( X, Y, Z, T ), cyclic( Y, X, Z, T ) }.
% 0.77/1.17 { ! cyclic( U, X, Y, Z ), ! cyclic( U, X, Y, T ), cyclic( X, Y, Z, T ) }.
% 0.77/1.17 { ! eqangle( X, Y, Z, T, U, W, V0, V1 ), eqangle( Y, X, Z, T, U, W, V0, V1
% 0.77/1.17 ) }.
% 0.77/1.17 { ! eqangle( X, Y, Z, T, U, W, V0, V1 ), eqangle( Z, T, X, Y, V0, V1, U, W
% 0.77/1.17 ) }.
% 0.77/1.17 { ! eqangle( X, Y, Z, T, U, W, V0, V1 ), eqangle( U, W, V0, V1, X, Y, Z, T
% 0.77/1.17 ) }.
% 0.77/1.17 { ! eqangle( X, Y, Z, T, U, W, V0, V1 ), eqangle( X, Y, U, W, Z, T, V0, V1
% 0.77/1.17 ) }.
% 0.77/1.17 { ! eqangle( X, Y, Z, T, V2, V3, V4, V5 ), ! eqangle( V2, V3, V4, V5, U, W
% 0.77/1.17 , V0, V1 ), eqangle( X, Y, Z, T, U, W, V0, V1 ) }.
% 0.77/1.17 { ! cong( X, Y, Z, T ), cong( X, Y, T, Z ) }.
% 0.77/1.17 { ! cong( X, Y, Z, T ), cong( Z, T, X, Y ) }.
% 0.77/1.17 { ! cong( X, Y, U, W ), ! cong( U, W, Z, T ), cong( X, Y, Z, T ) }.
% 0.77/1.17 { ! eqratio( X, Y, Z, T, U, W, V0, V1 ), eqratio( Y, X, Z, T, U, W, V0, V1
% 0.77/1.17 ) }.
% 0.77/1.17 { ! eqratio( X, Y, Z, T, U, W, V0, V1 ), eqratio( Z, T, X, Y, V0, V1, U, W
% 0.77/1.17 ) }.
% 0.77/1.17 { ! eqratio( X, Y, Z, T, U, W, V0, V1 ), eqratio( U, W, V0, V1, X, Y, Z, T
% 0.77/1.17 ) }.
% 0.77/1.17 { ! eqratio( X, Y, Z, T, U, W, V0, V1 ), eqratio( X, Y, U, W, Z, T, V0, V1
% 0.77/1.17 ) }.
% 0.77/1.17 { ! eqratio( X, Y, Z, T, V2, V3, V4, V5 ), ! eqratio( V2, V3, V4, V5, U, W
% 0.77/1.17 , V0, V1 ), eqratio( X, Y, Z, T, U, W, V0, V1 ) }.
% 0.77/1.17 { ! simtri( X, Z, Y, T, W, U ), simtri( X, Y, Z, T, U, W ) }.
% 0.77/1.17 { ! simtri( Y, X, Z, U, T, W ), simtri( X, Y, Z, T, U, W ) }.
% 0.77/1.17 { ! simtri( T, U, W, X, Y, Z ), simtri( X, Y, Z, T, U, W ) }.
% 0.77/1.17 { ! simtri( X, Y, Z, V0, V1, V2 ), ! simtri( V0, V1, V2, T, U, W ), simtri
% 0.77/1.17 ( X, Y, Z, T, U, W ) }.
% 0.77/1.17 { ! contri( X, Z, Y, T, W, U ), contri( X, Y, Z, T, U, W ) }.
% 0.77/1.17 { ! contri( Y, X, Z, U, T, W ), contri( X, Y, Z, T, U, W ) }.
% 0.77/1.17 { ! contri( T, U, W, X, Y, Z ), contri( X, Y, Z, T, U, W ) }.
% 0.77/1.17 { ! contri( X, Y, Z, V0, V1, V2 ), ! contri( V0, V1, V2, T, U, W ), contri
% 0.77/1.17 ( X, Y, Z, T, U, W ) }.
% 0.77/1.17 { ! eqangle( X, Y, U, W, Z, T, U, W ), para( X, Y, Z, T ) }.
% 0.77/1.17 { ! para( X, Y, Z, T ), eqangle( X, Y, U, W, Z, T, U, W ) }.
% 0.77/1.17 { ! cyclic( X, Y, Z, T ), eqangle( Z, X, Z, Y, T, X, T, Y ) }.
% 0.77/1.17 { ! eqangle( Z, X, Z, Y, T, X, T, Y ), coll( Z, T, X ), cyclic( X, Y, Z, T
% 0.77/1.17 ) }.
% 0.77/1.17 { ! eqangle( Z, X, Z, Y, T, X, T, Y ), ! coll( Z, T, Y ), cyclic( X, Y, Z,
% 0.77/1.17 T ) }.
% 0.77/1.17 { ! cyclic( X, Y, U, Z ), ! cyclic( X, Y, U, T ), ! cyclic( X, Y, U, W ), !
% 0.77/1.17 eqangle( U, X, U, Y, W, Z, W, T ), cong( X, Y, Z, T ) }.
% 0.77/1.17 { ! midp( Z, U, X ), ! midp( T, U, Y ), para( Z, T, X, Y ) }.
% 0.77/1.17 { ! midp( U, X, T ), ! para( U, Z, T, Y ), ! coll( Z, X, Y ), midp( Z, X, Y
% 0.77/1.17 ) }.
% 0.77/1.17 { ! cong( Z, X, Z, Y ), eqangle( Z, X, X, Y, X, Y, Z, Y ) }.
% 0.77/1.17 { ! eqangle( Z, X, X, Y, X, Y, Z, Y ), coll( Z, X, Y ), cong( Z, X, Z, Y )
% 0.77/1.17 }.
% 0.77/1.17 { ! circle( U, X, Y, Z ), ! perp( U, X, X, T ), eqangle( X, T, X, Y, Z, X,
% 0.77/1.17 Z, Y ) }.
% 0.77/1.17 { ! circle( Y, X, T, U ), ! eqangle( X, Z, X, T, U, X, U, T ), perp( Y, X,
% 0.77/1.17 X, Z ) }.
% 0.77/1.17 { ! circle( T, X, Y, Z ), ! midp( U, Y, Z ), eqangle( X, Y, X, Z, T, Y, T,
% 0.77/1.17 U ) }.
% 0.77/1.17 { ! circle( U, T, X, Y ), ! coll( Z, X, Y ), ! eqangle( T, X, T, Y, U, X, U
% 0.77/1.17 , Z ), midp( Z, X, Y ) }.
% 0.77/1.17 { ! perp( X, Y, Y, T ), ! midp( Z, X, T ), cong( X, Z, Y, Z ) }.
% 0.77/1.17 { ! circle( T, X, Y, Z ), ! coll( T, X, Z ), perp( X, Y, Y, Z ) }.
% 0.77/1.17 { ! cyclic( X, Y, Z, T ), ! para( X, Y, Z, T ), eqangle( X, T, Z, T, Z, T,
% 0.77/1.17 Z, Y ) }.
% 0.77/1.17 { ! midp( T, X, Y ), ! perp( Z, T, X, Y ), cong( Z, X, Z, Y ) }.
% 0.77/1.17 { ! cong( X, Z, Y, Z ), ! cong( X, T, Y, T ), perp( X, Y, Z, T ) }.
% 0.77/1.17 { ! cong( X, Y, T, Y ), ! cong( X, Z, T, Z ), ! cyclic( X, T, Y, Z ), perp
% 0.77/1.17 ( Y, X, X, Z ) }.
% 0.77/1.17 { ! eqangle( X, Y, Y, Z, T, U, U, W ), ! eqangle( X, Z, Y, Z, T, W, U, W )
% 0.77/1.17 , coll( X, Y, Z ), simtri( X, Y, Z, T, U, W ) }.
% 0.77/1.17 { ! simtri( X, Y, Z, T, U, W ), eqratio( X, Y, X, Z, T, U, T, W ) }.
% 0.77/1.17 { ! simtri( X, Y, Z, T, U, W ), eqangle( X, Y, Y, Z, T, U, U, W ) }.
% 0.77/1.17 { ! simtri( X, Y, Z, T, U, W ), ! cong( X, Y, T, U ), contri( X, Y, Z, T, U
% 0.77/1.17 , W ) }.
% 0.77/1.17 { ! contri( X, Y, U, Z, T, W ), cong( X, Y, Z, T ) }.
% 0.77/1.17 { ! midp( U, X, Y ), ! midp( U, Z, T ), para( X, Z, Y, T ) }.
% 0.77/1.17 { ! midp( Z, T, U ), ! para( T, X, U, Y ), ! para( T, Y, U, X ), midp( Z, X
% 0.77/1.17 , Y ) }.
% 0.77/1.17 { ! para( X, Y, Z, T ), ! coll( U, X, Z ), ! coll( U, Y, T ), eqratio( U, X
% 0.77/1.17 , X, Z, U, Y, Y, T ) }.
% 0.77/1.17 { ! para( X, Y, X, Z ), coll( X, Y, Z ) }.
% 0.77/1.17 { ! cong( X, Y, X, Z ), ! coll( X, Y, Z ), midp( X, Y, Z ) }.
% 0.77/1.17 { ! midp( X, Y, Z ), cong( X, Y, X, Z ) }.
% 0.77/1.17 { ! midp( X, Y, Z ), coll( X, Y, Z ) }.
% 0.77/1.17 { ! midp( U, X, Y ), ! midp( W, Z, T ), eqratio( U, X, X, Y, W, Z, Z, T ) }
% 0.77/1.17 .
% 0.77/1.17 { ! eqangle( X, Y, Z, T, Z, T, X, Y ), para( X, Y, Z, T ), perp( X, Y, Z, T
% 0.77/1.17 ) }.
% 0.77/1.17 { ! eqangle( X, Y, Z, T, Z, T, X, Y ), perp( X, Y, Z, T ), para( X, Y, Z, T
% 0.77/1.17 ) }.
% 0.77/1.17 { ! eqangle( X, Y, Z, T, U, W, V0, V1 ), ! para( U, W, V0, V1 ), para( X, Y
% 0.77/1.17 , Z, T ) }.
% 0.77/1.17 { ! eqangle( X, Y, Z, T, U, W, V0, V1 ), ! perp( U, W, V0, V1 ), perp( X, Y
% 0.77/1.17 , Z, T ) }.
% 0.77/1.17 { ! eqratio( X, Y, Z, T, U, W, V0, V1 ), ! cong( U, W, V0, V1 ), cong( X, Y
% 0.77/1.17 , Z, T ) }.
% 0.77/1.17 { ! perp( Z, Y, Y, X ), ! eqangle( T, Z, Y, Z, Y, Z, X, Z ), coll( skol1( U
% 0.77/1.17 , W, Z, T ), Z, T ) }.
% 0.77/1.17 { ! perp( Z, Y, Y, X ), ! eqangle( T, Z, Y, Z, Y, Z, X, Z ), coll( skol1( X
% 0.77/1.17 , Y, Z, T ), X, Y ) }.
% 0.77/1.17 { ! cong( Z, X, Z, Y ), ! eqangle( X, Z, Z, T, Z, T, Z, Y ), coll( skol2( U
% 0.77/1.17 , W, Z, T ), Z, T ) }.
% 0.77/1.17 { ! cong( Z, X, Z, Y ), ! eqangle( X, Z, Z, T, Z, T, Z, Y ), coll( Y, X,
% 0.77/1.17 skol2( X, Y, Z, T ) ) }.
% 0.77/1.17 { ! perp( Z, T, X, Y ), ! eqangle( X, Z, Z, T, Z, T, Z, Y ), coll( skol3( U
% 0.77/1.17 , W, Z, T ), Z, T ) }.
% 0.77/1.17 { ! perp( Z, T, X, Y ), ! eqangle( X, Z, Z, T, Z, T, Z, Y ), coll( Y, X,
% 0.77/1.17 skol3( X, Y, Z, T ) ) }.
% 0.77/1.17 { ! perp( Z, T, X, Y ), ! cong( Z, X, Z, Y ), coll( skol4( U, W, Z, T ), Z
% 0.77/1.17 , T ) }.
% 0.77/1.17 { ! perp( Z, T, X, Y ), ! cong( Z, X, Z, Y ), coll( Y, X, skol4( X, Y, Z, T
% 0.77/1.17 ) ) }.
% 0.77/1.17 { ! eqangle( X, Z, Y, Z, X, T, Y, U ), coll( X, Y, Z ), cyclic( T, Y, Z,
% 0.77/1.17 skol5( W, Y, Z, T ) ) }.
% 0.77/1.17 { ! eqangle( X, Z, Y, Z, X, T, Y, U ), coll( X, Y, Z ), eqangle( X, Z, Y, Z
% 0.77/1.17 , X, skol5( X, Y, Z, T ), Y, skol5( X, Y, Z, T ) ) }.
% 0.77/1.17 { ! midp( U, X, Y ), ! midp( W, Z, T ), midp( skol6( X, V0, V1, T, V2, V3 )
% 0.77/1.17 , X, T ) }.
% 0.77/1.17 { ! midp( U, X, Y ), ! midp( W, Z, T ), para( skol6( X, V0, Z, T, V1, W ),
% 0.77/1.17 W, X, Z ) }.
% 0.77/1.17 { ! midp( U, X, Y ), ! midp( W, Z, T ), para( skol6( X, Y, Z, T, U, W ), U
% 0.77/1.17 , Y, T ) }.
% 0.77/1.17 { ! midp( Z, X, Y ), ! midp( W, T, U ), ! coll( T, X, Y ), ! coll( U, X, Y
% 0.77/1.17 ), midp( skol7( X, V0 ), X, V0 ) }.
% 0.77/1.17 { ! midp( T, X, U ), ! para( X, W, Z, T ), ! para( X, W, U, Y ), ! coll( W
% 0.77/1.17 , Y, Z ), coll( skol8( V0, V1, Z, T ), T, Z ) }.
% 0.77/1.17 { ! midp( T, X, U ), ! para( X, W, Z, T ), ! para( X, W, U, Y ), ! coll( W
% 0.77/1.17 , Y, Z ), coll( skol8( X, Y, Z, T ), X, Y ) }.
% 0.77/1.17 { ! cong( T, Z, T, U ), ! perp( X, Y, Y, T ), cong( T, Z, T, skol9( W, V0,
% 0.77/1.17 Z, T ) ) }.
% 0.77/1.17 { ! cong( T, Z, T, U ), ! perp( X, Y, Y, T ), cong( Y, Z, Y, skol9( W, Y, Z
% 0.77/1.17 , T ) ) }.
% 0.77/1.17 { ! cong( T, Z, T, U ), ! perp( X, Y, Y, T ), para( skol9( X, Y, Z, T ), Z
% 0.77/1.17 , X, Y ) }.
% 0.77/1.17 { ! perp( X, T, Y, Z ), ! perp( Y, T, X, Z ), coll( skol10( U, Y, Z ), Z, Y
% 0.77/1.17 ) }.
% 0.77/1.17 { ! perp( X, T, Y, Z ), ! perp( Y, T, X, Z ), perp( X, skol10( X, Y, Z ), Z
% 0.77/1.17 , Y ) }.
% 0.77/1.17 { ! perp( X, T, Y, Z ), ! perp( Y, T, X, Z ), alpha1( X, Y, Z ) }.
% 0.77/1.17 { ! alpha1( X, Y, Z ), coll( skol11( X, T, Z ), Z, X ) }.
% 0.77/1.17 { ! alpha1( X, Y, Z ), perp( Y, skol11( X, Y, Z ), Z, X ) }.
% 0.77/1.17 { ! coll( T, Z, X ), ! perp( Y, T, Z, X ), alpha1( X, Y, Z ) }.
% 0.77/1.17 { ! circle( Y, X, Z, T ), perp( skol12( X, Y ), X, X, Y ) }.
% 5.09/5.48 { ! circle( W, X, Y, Z ), ! cong( W, X, W, T ), ! cong( U, X, U, Y ), W = U
% 5.09/5.48 , alpha2( X, Z, U, skol13( X, V0, Z, V1, U ) ) }.
% 5.09/5.48 { ! circle( W, X, Y, Z ), ! cong( W, X, W, T ), ! cong( U, X, U, Y ), W = U
% 5.09/5.48 , coll( skol21( V0, Y, T, V1 ), Y, T ) }.
% 5.09/5.48 { ! circle( W, X, Y, Z ), ! cong( W, X, W, T ), ! cong( U, X, U, Y ), W = U
% 5.09/5.48 , cong( skol21( X, Y, T, U ), U, U, X ) }.
% 5.09/5.48 { ! alpha2( X, Y, Z, T ), coll( T, X, Y ) }.
% 5.09/5.48 { ! alpha2( X, Y, Z, T ), cong( T, Z, Z, X ) }.
% 5.09/5.48 { ! coll( T, X, Y ), ! cong( T, Z, Z, X ), alpha2( X, Y, Z, T ) }.
% 5.09/5.48 { ! cyclic( X, Y, Z, T ), ! para( X, Y, Z, T ), ! midp( U, X, Y ), circle(
% 5.09/5.48 skol14( X, Y, Z ), X, Y, Z ) }.
% 5.09/5.48 { ! perp( X, Z, Z, Y ), ! cyclic( X, Y, Z, T ), circle( skol15( X, Y, Z ),
% 5.09/5.48 X, Y, Z ) }.
% 5.09/5.48 { ! perp( X, U, U, T ), ! coll( T, Y, Z ), coll( skol16( W, Y, Z ), Y, Z )
% 5.09/5.48 }.
% 5.09/5.48 { ! perp( X, U, U, T ), ! coll( T, Y, Z ), perp( skol16( X, Y, Z ), X, Y, Z
% 5.09/5.48 ) }.
% 5.09/5.48 { ! perp( X, Z, X, Y ), ! perp( Y, X, Y, T ), ! midp( U, Z, T ), midp(
% 5.09/5.48 skol17( X, Y ), X, Y ) }.
% 5.09/5.48 { ! cong( Y, X, Y, Z ), ! perp( X, Y, Y, Z ), coll( X, Y, skol18( X, Y ) )
% 5.09/5.48 }.
% 5.09/5.48 { ! cong( Y, X, Y, Z ), ! perp( X, Y, Y, Z ), cong( Y, X, Y, skol18( X, Y )
% 5.09/5.48 ) }.
% 5.09/5.48 { ! para( U, W, X, Y ), ! coll( Z, U, X ), ! coll( Z, W, Y ), ! coll( T, U
% 5.09/5.48 , W ), coll( Z, T, skol19( V0, V1, Z, T ) ) }.
% 5.09/5.48 { ! para( U, W, X, Y ), ! coll( Z, U, X ), ! coll( Z, W, Y ), ! coll( T, U
% 5.09/5.48 , W ), coll( skol19( X, Y, Z, T ), X, Y ) }.
% 5.09/5.48 { midp( skol26, skol25, skol22 ) }.
% 5.09/5.48 { midp( skol23, skol20, skol25 ) }.
% 5.09/5.48 { midp( skol27, skol22, skol20 ) }.
% 5.09/5.48 { para( skol25, skol27, skol24, skol26 ) }.
% 5.09/5.48 { para( skol25, skol22, skol24, skol27 ) }.
% 5.09/5.48 { ! para( skol22, skol23, skol24, skol20 ) }.
% 5.09/5.48
% 5.09/5.48 percentage equality = 0.008824, percentage horn = 0.926230
% 5.09/5.48 This is a problem with some equality
% 5.09/5.48
% 5.09/5.48
% 5.09/5.48
% 5.09/5.48 Options Used:
% 5.09/5.48
% 5.09/5.48 useres = 1
% 5.09/5.48 useparamod = 1
% 5.09/5.48 useeqrefl = 1
% 5.09/5.48 useeqfact = 1
% 5.09/5.48 usefactor = 1
% 5.09/5.48 usesimpsplitting = 0
% 5.09/5.48 usesimpdemod = 5
% 5.09/5.48 usesimpres = 3
% 5.09/5.48
% 5.09/5.48 resimpinuse = 1000
% 5.09/5.48 resimpclauses = 20000
% 5.09/5.48 substype = eqrewr
% 5.09/5.48 backwardsubs = 1
% 5.09/5.48 selectoldest = 5
% 5.09/5.48
% 5.09/5.48 litorderings [0] = split
% 5.09/5.48 litorderings [1] = extend the termordering, first sorting on arguments
% 5.09/5.48
% 5.09/5.48 termordering = kbo
% 5.09/5.48
% 5.09/5.48 litapriori = 0
% 5.09/5.48 termapriori = 1
% 5.09/5.48 litaposteriori = 0
% 5.09/5.48 termaposteriori = 0
% 5.09/5.48 demodaposteriori = 0
% 5.09/5.48 ordereqreflfact = 0
% 5.09/5.48
% 5.09/5.48 litselect = negord
% 5.09/5.48
% 5.09/5.48 maxweight = 15
% 5.09/5.48 maxdepth = 30000
% 5.09/5.48 maxlength = 115
% 5.09/5.48 maxnrvars = 195
% 5.09/5.48 excuselevel = 1
% 5.09/5.48 increasemaxweight = 1
% 5.09/5.48
% 5.09/5.48 maxselected = 10000000
% 5.09/5.48 maxnrclauses = 10000000
% 5.09/5.48
% 5.09/5.48 showgenerated = 0
% 5.09/5.48 showkept = 0
% 5.09/5.48 showselected = 0
% 5.09/5.48 showdeleted = 0
% 5.09/5.48 showresimp = 1
% 5.09/5.48 showstatus = 2000
% 5.09/5.48
% 5.09/5.48 prologoutput = 0
% 5.09/5.48 nrgoals = 5000000
% 5.09/5.48 totalproof = 1
% 5.09/5.48
% 5.09/5.48 Symbols occurring in the translation:
% 5.09/5.48
% 5.09/5.48 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 5.09/5.48 . [1, 2] (w:1, o:36, a:1, s:1, b:0),
% 5.09/5.48 ! [4, 1] (w:0, o:31, a:1, s:1, b:0),
% 5.09/5.48 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 5.09/5.48 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 5.09/5.48 coll [38, 3] (w:1, o:64, a:1, s:1, b:0),
% 5.09/5.48 para [40, 4] (w:1, o:72, a:1, s:1, b:0),
% 5.09/5.48 perp [43, 4] (w:1, o:73, a:1, s:1, b:0),
% 5.09/5.48 midp [45, 3] (w:1, o:65, a:1, s:1, b:0),
% 5.09/5.48 cong [47, 4] (w:1, o:74, a:1, s:1, b:0),
% 5.09/5.48 circle [48, 4] (w:1, o:75, a:1, s:1, b:0),
% 5.09/5.48 cyclic [49, 4] (w:1, o:76, a:1, s:1, b:0),
% 5.09/5.48 eqangle [54, 8] (w:1, o:91, a:1, s:1, b:0),
% 5.09/5.48 eqratio [57, 8] (w:1, o:92, a:1, s:1, b:0),
% 5.09/5.48 simtri [59, 6] (w:1, o:88, a:1, s:1, b:0),
% 5.09/5.48 contri [60, 6] (w:1, o:89, a:1, s:1, b:0),
% 5.09/5.48 alpha1 [64, 3] (w:1, o:66, a:1, s:1, b:1),
% 5.09/5.48 alpha2 [65, 4] (w:1, o:77, a:1, s:1, b:1),
% 5.09/5.48 skol1 [66, 4] (w:1, o:78, a:1, s:1, b:1),
% 5.09/5.48 skol2 [67, 4] (w:1, o:80, a:1, s:1, b:1),
% 5.09/5.48 skol3 [68, 4] (w:1, o:82, a:1, s:1, b:1),
% 5.09/5.48 skol4 [69, 4] (w:1, o:83, a:1, s:1, b:1),
% 5.09/5.48 skol5 [70, 4] (w:1, o:84, a:1, s:1, b:1),
% 5.09/5.48 skol6 [71, 6] (w:1, o:90, a:1, s:1, b:1),
% 5.09/5.48 skol7 [72, 2] (w:1, o:60, a:1, s:1, b:1),
% 5.09/5.48 skol8 [73, 4] (w:1, o:85, a:1, s:1, b:1),
% 5.09/5.48 skol9 [74, 4] (w:1, o:86, a:1, s:1, b:1),
% 27.17/27.60 skol10 [75, 3] (w:1, o:67, a:1, s:1, b:1),
% 27.17/27.60 skol11 [76, 3] (w:1, o:68, a:1, s:1, b:1),
% 27.17/27.60 skol12 [77, 2] (w:1, o:61, a:1, s:1, b:1),
% 27.17/27.60 skol13 [78, 5] (w:1, o:87, a:1, s:1, b:1),
% 27.17/27.60 skol14 [79, 3] (w:1, o:69, a:1, s:1, b:1),
% 27.17/27.60 skol15 [80, 3] (w:1, o:70, a:1, s:1, b:1),
% 27.17/27.60 skol16 [81, 3] (w:1, o:71, a:1, s:1, b:1),
% 27.17/27.60 skol17 [82, 2] (w:1, o:62, a:1, s:1, b:1),
% 27.17/27.60 skol18 [83, 2] (w:1, o:63, a:1, s:1, b:1),
% 27.17/27.60 skol19 [84, 4] (w:1, o:79, a:1, s:1, b:1),
% 27.17/27.60 skol20 [85, 0] (w:1, o:24, a:1, s:1, b:1),
% 27.17/27.60 skol21 [86, 4] (w:1, o:81, a:1, s:1, b:1),
% 27.17/27.60 skol22 [87, 0] (w:1, o:25, a:1, s:1, b:1),
% 27.17/27.60 skol23 [88, 0] (w:1, o:26, a:1, s:1, b:1),
% 27.17/27.60 skol24 [89, 0] (w:1, o:27, a:1, s:1, b:1),
% 27.17/27.60 skol25 [90, 0] (w:1, o:28, a:1, s:1, b:1),
% 27.17/27.60 skol26 [91, 0] (w:1, o:29, a:1, s:1, b:1),
% 27.17/27.60 skol27 [92, 0] (w:1, o:30, a:1, s:1, b:1).
% 27.17/27.60
% 27.17/27.60
% 27.17/27.60 Starting Search:
% 27.17/27.60
% 27.17/27.60 *** allocated 15000 integers for clauses
% 27.17/27.60 *** allocated 22500 integers for clauses
% 27.17/27.60 *** allocated 33750 integers for clauses
% 27.17/27.60 *** allocated 50625 integers for clauses
% 27.17/27.60 *** allocated 22500 integers for termspace/termends
% 27.17/27.60 *** allocated 75937 integers for clauses
% 27.17/27.60 Resimplifying inuse:
% 27.17/27.60 Done
% 27.17/27.60
% 27.17/27.60 *** allocated 33750 integers for termspace/termends
% 27.17/27.60 *** allocated 113905 integers for clauses
% 27.17/27.60 *** allocated 50625 integers for termspace/termends
% 27.17/27.60
% 27.17/27.60 Intermediate Status:
% 27.17/27.60 Generated: 13276
% 27.17/27.60 Kept: 2000
% 27.17/27.60 Inuse: 322
% 27.17/27.60 Deleted: 1
% 27.17/27.60 Deletedinuse: 1
% 27.17/27.60
% 27.17/27.60 Resimplifying inuse:
% 27.17/27.60 Done
% 27.17/27.60
% 27.17/27.60 *** allocated 170857 integers for clauses
% 27.17/27.60 *** allocated 75937 integers for termspace/termends
% 27.17/27.60 Resimplifying inuse:
% 27.17/27.60 Done
% 27.17/27.60
% 27.17/27.60 *** allocated 256285 integers for clauses
% 27.17/27.60 *** allocated 113905 integers for termspace/termends
% 27.17/27.60
% 27.17/27.60 Intermediate Status:
% 27.17/27.60 Generated: 30031
% 27.17/27.60 Kept: 4030
% 27.17/27.60 Inuse: 456
% 27.17/27.60 Deleted: 1
% 27.17/27.60 Deletedinuse: 1
% 27.17/27.60
% 27.17/27.60 Resimplifying inuse:
% 27.17/27.60 Done
% 27.17/27.60
% 27.17/27.60 Resimplifying inuse:
% 27.17/27.60 Done
% 27.17/27.60
% 27.17/27.60 *** allocated 384427 integers for clauses
% 27.17/27.60 *** allocated 170857 integers for termspace/termends
% 27.17/27.60
% 27.17/27.60 Intermediate Status:
% 27.17/27.60 Generated: 48761
% 27.17/27.60 Kept: 6042
% 27.17/27.60 Inuse: 533
% 27.17/27.60 Deleted: 1
% 27.17/27.60 Deletedinuse: 1
% 27.17/27.60
% 27.17/27.60 Resimplifying inuse:
% 27.17/27.60 Done
% 27.17/27.60
% 27.17/27.60 Resimplifying inuse:
% 27.17/27.60 Done
% 27.17/27.60
% 27.17/27.60 *** allocated 576640 integers for clauses
% 27.17/27.60
% 27.17/27.60 Intermediate Status:
% 27.17/27.60 Generated: 63458
% 27.17/27.60 Kept: 8052
% 27.17/27.60 Inuse: 670
% 27.17/27.60 Deleted: 2
% 27.17/27.60 Deletedinuse: 1
% 27.17/27.60
% 27.17/27.60 Resimplifying inuse:
% 27.17/27.60 Done
% 27.17/27.60
% 27.17/27.60 *** allocated 256285 integers for termspace/termends
% 27.17/27.60 Resimplifying inuse:
% 27.17/27.60 Done
% 27.17/27.60
% 27.17/27.60
% 27.17/27.60 Intermediate Status:
% 27.17/27.60 Generated: 85074
% 27.17/27.60 Kept: 10249
% 27.17/27.60 Inuse: 805
% 27.17/27.60 Deleted: 9
% 27.17/27.60 Deletedinuse: 3
% 27.17/27.60
% 27.17/27.60 Resimplifying inuse:
% 27.17/27.60 Done
% 27.17/27.60
% 27.17/27.60 Resimplifying inuse:
% 27.17/27.60 Done
% 27.17/27.60
% 27.17/27.60 *** allocated 864960 integers for clauses
% 27.17/27.60
% 27.17/27.60 Intermediate Status:
% 27.17/27.60 Generated: 97086
% 27.17/27.60 Kept: 12703
% 27.17/27.60 Inuse: 855
% 27.17/27.60 Deleted: 15
% 27.17/27.60 Deletedinuse: 9
% 27.17/27.60
% 27.17/27.60 Resimplifying inuse:
% 27.17/27.60 Done
% 27.17/27.60
% 27.17/27.60 Resimplifying inuse:
% 27.17/27.60 Done
% 27.17/27.60
% 27.17/27.60
% 27.17/27.60 Intermediate Status:
% 27.17/27.60 Generated: 110307
% 27.17/27.60 Kept: 14716
% 27.17/27.60 Inuse: 958
% 27.17/27.60 Deleted: 17
% 27.17/27.60 Deletedinuse: 9
% 27.17/27.60
% 27.17/27.60 Resimplifying inuse:
% 27.17/27.60 Done
% 27.17/27.60
% 27.17/27.60 *** allocated 384427 integers for termspace/termends
% 27.17/27.60 Resimplifying inuse:
% 27.17/27.60 Done
% 27.17/27.60
% 27.17/27.60
% 27.17/27.60 Intermediate Status:
% 27.17/27.60 Generated: 124677
% 27.17/27.60 Kept: 16720
% 27.17/27.60 Inuse: 1088
% 27.17/27.60 Deleted: 17
% 27.17/27.60 Deletedinuse: 9
% 27.17/27.60
% 27.17/27.60 Resimplifying inuse:
% 27.17/27.60 Done
% 27.17/27.60
% 27.17/27.60 Resimplifying inuse:
% 27.17/27.60 Done
% 27.17/27.60
% 27.17/27.60 *** allocated 1297440 integers for clauses
% 27.17/27.60
% 27.17/27.60 Intermediate Status:
% 27.17/27.60 Generated: 137803
% 27.17/27.60 Kept: 18732
% 27.17/27.60 Inuse: 1213
% 27.17/27.60 Deleted: 17
% 27.17/27.60 Deletedinuse: 9
% 27.17/27.60
% 27.17/27.60 Resimplifying inuse:
% 27.17/27.60 Done
% 27.17/27.60
% 27.17/27.60 Resimplifying inuse:
% 27.17/27.60 Done
% 27.17/27.60
% 27.17/27.60 Resimplifying clauses:
% 27.17/27.60 Done
% 27.17/27.60
% 27.17/27.60
% 27.17/27.60 Intermediate Status:
% 27.17/27.60 Generated: 149458
% 27.17/27.60 Kept: 20823
% 27.17/27.60 Inuse: 1319
% 27.17/27.60 Deleted: 807
% 27.17/27.60 Deletedinuse: 9
% 27.17/27.60
% 27.17/27.60 Resimplifying inuse:
% 27.17/27.60 Done
% 27.17/27.60
% 27.17/27.60 Resimplifying inuse:
% 27.17/27.60 Done
% 27.17/27.60
% 27.17/27.60
% 27.17/27.60 Intermediate Status:
% 27.17/27.60 Generated: 158949
% 27.17/27.60 Kept: 22852
% 27.17/27.60 Inuse: 1475
% 27.17/27.60 Deleted: 1820
% 27.17/27.60 Deletedinuse: 948
% 27.17/27.60
% 27.17/27.60 Resimplifying inuse:
% 27.17/27.60 Done
% 27.17/27.60
% 27.17/27.60 Resimplifying inuse:
% 27.17/27.60 Done
% 27.17/27.60
% 27.17/27.60
% 27.17/27.60 Intermediate Status:
% 27.17/27.60 Generated: 169281
% 27.17/27.60 Kept: 24863
% 27.17/27.60 Inuse: 1618
% 27.17/27.60 Deleted: 1978
% 27.17/27.60 Deletedinuse: 948
% 27.17/27.60
% 27.17/27.60 Resimplifying inuse:
% 27.17/27.60 Done
% 27.17/27.60
% 27.17/27.60 *** allocated 576640 integers for termspace/termends
% 27.17/27.60 Resimplifying inuse:
% 27.17/27.60 Done
% 27.17/27.60
% 27.17/27.60
% 27.17/27.60 Intermediate Status:
% 27.17/27.60 Generated: 180705
% 27.17/27.60 Kept: 26887
% 27.17/27.60 Inuse: 1783
% 27.17/27.60 Deleted: 2076
% 27.17/27.60 Deletedinuse: 948
% 48.20/48.65
% 48.20/48.65 Resimplifying inuse:
% 48.20/48.65 Done
% 48.20/48.65
% 48.20/48.65 *** allocated 1946160 integers for clauses
% 48.20/48.65 Resimplifying inuse:
% 48.20/48.65 Done
% 48.20/48.65
% 48.20/48.65
% 48.20/48.65 Intermediate Status:
% 48.20/48.65 Generated: 208714
% 48.20/48.65 Kept: 28892
% 48.20/48.65 Inuse: 1949
% 48.20/48.65 Deleted: 3473
% 48.20/48.65 Deletedinuse: 953
% 48.20/48.65
% 48.20/48.65 Resimplifying inuse:
% 48.20/48.65 Done
% 48.20/48.65
% 48.20/48.65 Resimplifying inuse:
% 48.20/48.65 Done
% 48.20/48.65
% 48.20/48.65
% 48.20/48.65 Intermediate Status:
% 48.20/48.65 Generated: 213489
% 48.20/48.65 Kept: 30906
% 48.20/48.65 Inuse: 2007
% 48.20/48.65 Deleted: 3474
% 48.20/48.65 Deletedinuse: 954
% 48.20/48.65
% 48.20/48.65 Resimplifying inuse:
% 48.20/48.65 Done
% 48.20/48.65
% 48.20/48.65 Resimplifying inuse:
% 48.20/48.65 Done
% 48.20/48.65
% 48.20/48.65
% 48.20/48.65 Intermediate Status:
% 48.20/48.65 Generated: 219946
% 48.20/48.65 Kept: 32909
% 48.20/48.65 Inuse: 2062
% 48.20/48.65 Deleted: 3474
% 48.20/48.65 Deletedinuse: 954
% 48.20/48.65
% 48.20/48.65 Resimplifying inuse:
% 48.20/48.65 Done
% 48.20/48.65
% 48.20/48.65 Resimplifying inuse:
% 48.20/48.65 Done
% 48.20/48.65
% 48.20/48.65
% 48.20/48.65 Intermediate Status:
% 48.20/48.65 Generated: 228143
% 48.20/48.65 Kept: 34918
% 48.20/48.65 Inuse: 2178
% 48.20/48.65 Deleted: 3500
% 48.20/48.65 Deletedinuse: 954
% 48.20/48.65
% 48.20/48.65 Resimplifying inuse:
% 48.20/48.65 Done
% 48.20/48.65
% 48.20/48.65 Resimplifying inuse:
% 48.20/48.65 Done
% 48.20/48.65
% 48.20/48.65
% 48.20/48.65 Intermediate Status:
% 48.20/48.65 Generated: 239304
% 48.20/48.65 Kept: 36923
% 48.20/48.65 Inuse: 2351
% 48.20/48.65 Deleted: 3547
% 48.20/48.65 Deletedinuse: 954
% 48.20/48.65
% 48.20/48.65 Resimplifying inuse:
% 48.20/48.65 Done
% 48.20/48.65
% 48.20/48.65 Resimplifying inuse:
% 48.20/48.65 Done
% 48.20/48.65
% 48.20/48.65
% 48.20/48.65 Intermediate Status:
% 48.20/48.65 Generated: 251437
% 48.20/48.65 Kept: 38923
% 48.20/48.65 Inuse: 2521
% 48.20/48.65 Deleted: 3605
% 48.20/48.65 Deletedinuse: 954
% 48.20/48.65
% 48.20/48.65 Resimplifying inuse:
% 48.20/48.65 Done
% 48.20/48.65
% 48.20/48.65 *** allocated 864960 integers for termspace/termends
% 48.20/48.65 *** allocated 2919240 integers for clauses
% 48.20/48.65 Resimplifying clauses:
% 48.20/48.65 Done
% 48.20/48.65
% 48.20/48.65 Resimplifying inuse:
% 48.20/48.65 Done
% 48.20/48.65
% 48.20/48.65
% 48.20/48.65 Intermediate Status:
% 48.20/48.65 Generated: 264014
% 48.20/48.65 Kept: 40928
% 48.20/48.65 Inuse: 2663
% 48.20/48.65 Deleted: 16452
% 48.20/48.65 Deletedinuse: 956
% 48.20/48.65
% 48.20/48.65 Resimplifying inuse:
% 48.20/48.65 Done
% 48.20/48.65
% 48.20/48.65 Resimplifying inuse:
% 48.20/48.65 Done
% 48.20/48.65
% 48.20/48.65
% 48.20/48.65 Intermediate Status:
% 48.20/48.65 Generated: 274650
% 48.20/48.65 Kept: 42961
% 48.20/48.65 Inuse: 2732
% 48.20/48.65 Deleted: 16452
% 48.20/48.65 Deletedinuse: 956
% 48.20/48.65
% 48.20/48.65 Resimplifying inuse:
% 48.20/48.65 Done
% 48.20/48.65
% 48.20/48.65 Resimplifying inuse:
% 48.20/48.65 Done
% 48.20/48.65
% 48.20/48.65
% 48.20/48.65 Intermediate Status:
% 48.20/48.65 Generated: 282459
% 48.20/48.65 Kept: 44962
% 48.20/48.65 Inuse: 2795
% 48.20/48.65 Deleted: 16453
% 48.20/48.65 Deletedinuse: 956
% 48.20/48.65
% 48.20/48.65 Resimplifying inuse:
% 48.20/48.65 Done
% 48.20/48.65
% 48.20/48.65 Resimplifying inuse:
% 48.20/48.65 Done
% 48.20/48.65
% 48.20/48.65
% 48.20/48.65 Intermediate Status:
% 48.20/48.65 Generated: 296143
% 48.20/48.65 Kept: 46963
% 48.20/48.65 Inuse: 2868
% 48.20/48.65 Deleted: 16453
% 48.20/48.65 Deletedinuse: 956
% 48.20/48.65
% 48.20/48.65 Resimplifying inuse:
% 48.20/48.65 Done
% 48.20/48.65
% 48.20/48.65 Resimplifying inuse:
% 48.20/48.65 Done
% 48.20/48.65
% 48.20/48.65
% 48.20/48.65 Intermediate Status:
% 48.20/48.65 Generated: 306133
% 48.20/48.65 Kept: 48965
% 48.20/48.65 Inuse: 2928
% 48.20/48.65 Deleted: 16453
% 48.20/48.65 Deletedinuse: 956
% 48.20/48.65
% 48.20/48.65 Resimplifying inuse:
% 48.20/48.65 Done
% 48.20/48.65
% 48.20/48.65 Resimplifying inuse:
% 48.20/48.65 Done
% 48.20/48.65
% 48.20/48.65
% 48.20/48.65 Intermediate Status:
% 48.20/48.65 Generated: 314315
% 48.20/48.65 Kept: 50980
% 48.20/48.65 Inuse: 2973
% 48.20/48.65 Deleted: 16453
% 48.20/48.65 Deletedinuse: 956
% 48.20/48.65
% 48.20/48.65 Resimplifying inuse:
% 48.20/48.65 Done
% 48.20/48.65
% 48.20/48.65
% 48.20/48.65 Intermediate Status:
% 48.20/48.65 Generated: 326523
% 48.20/48.65 Kept: 52996
% 48.20/48.65 Inuse: 3030
% 48.20/48.65 Deleted: 16453
% 48.20/48.65 Deletedinuse: 956
% 48.20/48.65
% 48.20/48.65 Resimplifying inuse:
% 48.20/48.65 Done
% 48.20/48.65
% 48.20/48.65 Resimplifying inuse:
% 48.20/48.65 Done
% 48.20/48.65
% 48.20/48.65
% 48.20/48.65 Intermediate Status:
% 48.20/48.65 Generated: 347925
% 48.20/48.65 Kept: 54999
% 48.20/48.65 Inuse: 3185
% 48.20/48.65 Deleted: 16467
% 48.20/48.65 Deletedinuse: 969
% 48.20/48.65
% 48.20/48.65 Resimplifying inuse:
% 48.20/48.65 Done
% 48.20/48.65
% 48.20/48.65 Resimplifying inuse:
% 48.20/48.65 Done
% 48.20/48.65
% 48.20/48.65
% 48.20/48.65 Intermediate Status:
% 48.20/48.65 Generated: 360029
% 48.20/48.65 Kept: 56999
% 48.20/48.65 Inuse: 3228
% 48.20/48.65 Deleted: 16467
% 48.20/48.65 Deletedinuse: 969
% 48.20/48.65
% 48.20/48.65 Resimplifying inuse:
% 48.20/48.65 Done
% 48.20/48.65
% 48.20/48.65 Resimplifying inuse:
% 48.20/48.65 Done
% 48.20/48.65
% 48.20/48.65
% 48.20/48.65 Intermediate Status:
% 48.20/48.65 Generated: 372424
% 48.20/48.65 Kept: 59006
% 48.20/48.65 Inuse: 3282
% 48.20/48.65 Deleted: 16467
% 48.20/48.65 Deletedinuse: 969
% 48.20/48.65
% 48.20/48.65 Resimplifying inuse:
% 48.20/48.65 Done
% 48.20/48.65
% 48.20/48.65 Resimplifying clauses:
% 48.20/48.65 Done
% 48.20/48.65
% 48.20/48.65 *** allocated 1297440 integers for termspace/termends
% 48.20/48.65 Resimplifying inuse:
% 48.20/48.65 Done
% 48.20/48.65
% 48.20/48.65 *** allocated 4378860 integers for clauses
% 48.20/48.65
% 48.20/48.65 Intermediate Status:
% 48.20/48.65 Generated: 383742
% 48.20/48.65 Kept: 61036
% 48.20/48.65 Inuse: 3333
% 48.20/48.65 Deleted: 18034
% 48.20/48.65 Deletedinuse: 969
% 48.20/48.65
% 48.20/48.65 Resimplifying inuse:
% 48.20/48.65 Done
% 48.20/48.65
% 48.20/48.65 Resimplifying inuse:
% 48.20/48.65 Done
% 48.20/48.65
% 48.20/48.65
% 48.20/48.65 Intermediate Status:
% 48.20/48.65 Generated: 390110
% 48.20/48.65 Kept: 63075
% 48.20/48.65 Inuse: 3361
% 48.20/48.65 Deleted: 18034
% 48.20/48.65 Deletedinuse: 969
% 48.20/48.65
% 48.20/48.65 Resimplifying inuse:
% 48.20/48.65 Done
% 48.20/48.65
% 48.20/48.65 Resimplifying inuse:
% 48.20/48.65 Done
% 48.20/48.65
% 48.20/48.65
% 48.20/48.65 Intermediate Status:
% 48.20/48.65 Generated: 406018
% 48.20/48.65 Kept: 65103
% 48.20/48.65 Inuse: 3429
% 48.20/48.65 Deleted: 18034
% 48.20/48.65 Deletedinuse: 969
% 48.20/48.65
% 48.20/48.65 Resimplifying inuse:
% 48.20/48.65 Done
% 48.20/48.65
% 48.20/48.65 Resimplifying inuse:
% 48.20/48.65 Done
% 48.20/48.65
% 48.20/48.65
% 48.20/48.65 Intermediate Status:
% 48.20/48.65 Generated: 438521
% 48.20/48.65 Kept: 67103
% 48.20/48.65 Inuse: 3562
% 48.20/48.65 Deleted: 18035
% 48.20/48.65 Deletedinuse: 970
% 48.20/48.65
% 48.20/48.65 Resimplifying inuse:
% 48.20/48.65 Done
% 48.20/48.65
% 48.20/48.65
% 48.20/48.65 Intermediate Status:
% 48.20/48.65 Generated: 460018
% 48.20/48.65 Kept: 69119
% 48.20/48.65 Inuse: 3702
% 48.20/48.65 Deleted: 18035
% 48.20/48.65 Deletedinuse: 970
% 48.20/48.65
% 48.20/48.65 Resimplifying inuse:
% 48.20/48.65 Done
% 48.20/48.65
% 48.20/48.65 Resimplifying inuse:
% 48.20/48.65 Done
% 48.20/48.65
% 48.20/48.65
% 48.20/48.65 Intermediate Status:
% 48.20/48.65 Generated: 473456
% 48.20/48.65 Kept: 71146
% 48.20/48.65 Inuse: 3781
% 48.20/48.65 Deleted: 18035
% 48.20/48.65 Deletedinuse: 970
% 48.20/48.65
% 48.20/48.65 Resimplifying inuse:
% 48.20/48.65 Done
% 48.20/48.65
% 48.20/48.65 Resimplifying inuse:
% 48.20/48.65 Done
% 48.20/48.65
% 48.20/48.65
% 48.20/48.65 Intermediate Status:
% 48.20/48.65 Generated: 483396
% 48.20/48.65 Kept: 73394
% 48.20/48.65 Inuse: 3848
% 48.20/48.65 Deleted: 18035
% 48.20/48.65 Deletedinuse: 970
% 48.20/48.65
% 48.20/48.65 Resimplifying inuse:
% 48.20/48.65 Done
% 48.20/48.65
% 48.20/48.65 Resimplifying inuse:
% 48.20/48.65 Done
% 48.20/48.65
% 48.20/48.65
% 48.20/48.65 Intermediate Status:
% 48.20/48.65 Generated: 489758
% 48.20/48.65 Kept: 75587
% 48.20/48.65 Inuse: 3883
% 48.20/48.65 Deleted: 18039
% 48.20/48.65 Deletedinuse: 974
% 48.20/48.65
% 48.20/48.65 Resimplifying inuse:
% 48.20/48.65 Done
% 48.20/48.65
% 48.20/48.65 Resimplifying inuse:
% 48.20/48.65 Done
% 48.20/48.65
% 48.20/48.65
% 48.20/48.65 Intermediate Status:
% 48.20/48.65 Generated: 499258
% 48.20/48.65 Kept: 77596
% 48.20/48.65 Inuse: 3959
% 48.20/48.65 Deleted: 18046
% 48.20/48.65 Deletedinuse: 981
% 48.20/48.65
% 48.20/48.65 Resimplifying inuse:
% 48.20/48.65 Done
% 48.20/48.65
% 48.20/48.65 Resimplifying inuse:
% 48.20/48.65 Done
% 48.20/48.65
% 48.20/48.65
% 48.20/48.65 Intermediate Status:
% 48.20/48.65 Generated: 528629
% 48.20/48.65 Kept: 79637
% 48.20/48.65 Inuse: 4018
% 48.20/48.65 Deleted: 18121
% 48.20/48.65 Deletedinuse: 1051
% 48.20/48.65
% 48.20/48.65 Resimplifying inuse:
% 48.20/48.65 Done
% 48.20/48.65
% 48.20/48.65 Resimplifying clauses:
% 48.20/48.65 Done
% 48.20/48.65
% 48.20/48.65 Resimplifying inuse:
% 48.20/48.65 Done
% 48.20/48.65
% 48.20/48.65
% 48.20/48.65 Intermediate Status:
% 48.20/48.65 Generated: 559464
% 48.20/48.65 Kept: 81641
% 48.20/48.65 Inuse: 4171
% 48.20/48.65 Deleted: 21930
% 48.20/48.65 Deletedinuse: 1059
% 48.20/48.65
% 48.20/48.65
% 48.20/48.65 Bliksems!, er is een bewijs:
% 48.20/48.65 % SZS status Theorem
% 48.20/48.65 % SZS output start Refutation
% 48.20/48.65
% 48.20/48.65 (0) {G0,W8,D2,L2,V3,M2} I { ! coll( X, Y, Z ), coll( X, Z, Y ) }.
% 48.20/48.65 (1) {G0,W8,D2,L2,V3,M2} I { ! coll( X, Y, Z ), coll( Y, X, Z ) }.
% 48.20/48.65 (2) {G0,W12,D2,L3,V4,M3} I { ! coll( X, T, Y ), ! coll( X, T, Z ), coll( Y
% 48.20/48.65 , Z, X ) }.
% 48.20/48.65 (3) {G0,W10,D2,L2,V4,M2} I { ! para( X, Y, Z, T ), para( X, Y, T, Z ) }.
% 48.20/48.65 (4) {G0,W10,D2,L2,V4,M2} I { ! para( X, Y, Z, T ), para( Z, T, X, Y ) }.
% 48.20/48.65 (5) {G0,W15,D2,L3,V6,M3} I { ! para( X, Y, U, W ), ! para( U, W, Z, T ),
% 48.20/48.65 para( X, Y, Z, T ) }.
% 48.20/48.65 (6) {G0,W10,D2,L2,V4,M2} I { ! perp( X, Y, Z, T ), perp( X, Y, T, Z ) }.
% 48.20/48.65 (7) {G0,W10,D2,L2,V4,M2} I { ! perp( X, Y, Z, T ), perp( Z, T, X, Y ) }.
% 48.20/48.65 (8) {G0,W15,D2,L3,V6,M3} I { ! perp( X, Y, U, W ), ! perp( U, W, Z, T ),
% 48.20/48.65 para( X, Y, Z, T ) }.
% 48.20/48.65 (9) {G0,W15,D2,L3,V6,M3} I { ! para( X, Y, U, W ), ! perp( U, W, Z, T ),
% 48.20/48.65 perp( X, Y, Z, T ) }.
% 48.20/48.65 (10) {G0,W8,D2,L2,V3,M2} I { ! midp( Z, Y, X ), midp( Z, X, Y ) }.
% 48.20/48.65 (11) {G0,W15,D2,L3,V4,M3} I { ! cong( T, X, T, Y ), ! cong( T, X, T, Z ),
% 48.20/48.65 circle( T, X, Y, Z ) }.
% 48.20/48.65 (12) {G0,W20,D2,L4,V5,M4} I { ! cong( U, X, U, Y ), ! cong( U, X, U, Z ), !
% 48.20/48.65 cong( U, X, U, T ), cyclic( X, Y, Z, T ) }.
% 48.20/48.65 (13) {G0,W10,D2,L2,V4,M2} I { ! cyclic( X, Y, Z, T ), cyclic( X, Y, T, Z )
% 48.20/48.65 }.
% 48.20/48.65 (14) {G0,W10,D2,L2,V4,M2} I { ! cyclic( X, Y, Z, T ), cyclic( X, Z, Y, T )
% 48.20/48.65 }.
% 48.20/48.65 (15) {G0,W10,D2,L2,V4,M2} I { ! cyclic( X, Y, Z, T ), cyclic( Y, X, Z, T )
% 48.20/48.65 }.
% 48.20/48.65 (16) {G0,W15,D2,L3,V5,M3} I { ! cyclic( U, X, Y, Z ), ! cyclic( U, X, Y, T
% 48.20/48.65 ), cyclic( X, Y, Z, T ) }.
% 48.20/48.65 (22) {G0,W10,D2,L2,V4,M2} I { ! cong( X, Y, Z, T ), cong( X, Y, T, Z ) }.
% 48.20/48.65 (23) {G0,W10,D2,L2,V4,M2} I { ! cong( X, Y, Z, T ), cong( Z, T, X, Y ) }.
% 48.20/48.65 (24) {G0,W15,D2,L3,V6,M3} I { ! cong( X, Y, U, W ), ! cong( U, W, Z, T ),
% 48.20/48.65 cong( X, Y, Z, T ) }.
% 48.20/48.65 (40) {G0,W14,D2,L2,V4,M2} I { ! cyclic( X, Y, Z, T ), eqangle( Z, X, Z, Y,
% 48.20/48.65 T, X, T, Y ) }.
% 48.20/48.65 (43) {G0,W29,D2,L5,V6,M5} I { ! cyclic( X, Y, U, Z ), ! cyclic( X, Y, U, T
% 48.20/48.65 ), ! cyclic( X, Y, U, W ), ! eqangle( U, X, U, Y, W, Z, W, T ), cong( X
% 48.20/48.65 , Y, Z, T ) }.
% 48.20/48.65 (44) {G0,W13,D2,L3,V5,M3} I { ! midp( Z, U, X ), ! midp( T, U, Y ), para( Z
% 48.20/48.65 , T, X, Y ) }.
% 48.20/48.65 (45) {G0,W17,D2,L4,V5,M4} I { ! midp( U, X, T ), ! para( U, Z, T, Y ), !
% 48.20/48.65 coll( Z, X, Y ), midp( Z, X, Y ) }.
% 48.20/48.65 (49) {G0,W19,D2,L3,V5,M3} I { ! circle( Y, X, T, U ), ! eqangle( X, Z, X, T
% 48.20/48.65 , U, X, U, T ), perp( Y, X, X, Z ) }.
% 48.20/48.65 (56) {G0,W15,D2,L3,V4,M3} I { ! cong( X, Z, Y, Z ), ! cong( X, T, Y, T ),
% 48.20/48.65 perp( X, Y, Z, T ) }.
% 48.20/48.65 (57) {G0,W20,D2,L4,V4,M4} I { ! cong( X, Y, T, Y ), ! cong( X, Z, T, Z ), !
% 48.20/48.65 cyclic( X, T, Y, Z ), perp( Y, X, X, Z ) }.
% 48.20/48.65 (63) {G0,W13,D2,L3,V5,M3} I { ! midp( U, X, Y ), ! midp( U, Z, T ), para( X
% 48.20/48.65 , Z, Y, T ) }.
% 48.20/48.65 (64) {G0,W18,D2,L4,V5,M4} I { ! midp( Z, T, U ), ! para( T, X, U, Y ), !
% 48.20/48.65 para( T, Y, U, X ), midp( Z, X, Y ) }.
% 48.20/48.65 (68) {G0,W9,D2,L2,V3,M2} I { ! midp( X, Y, Z ), cong( X, Y, X, Z ) }.
% 48.20/48.65 (69) {G0,W8,D2,L2,V3,M2} I { ! midp( X, Y, Z ), coll( X, Y, Z ) }.
% 48.20/48.65 (88) {G0,W22,D3,L5,V7,M5} I { ! midp( Z, X, Y ), ! midp( W, T, U ), ! coll
% 48.20/48.65 ( T, X, Y ), ! coll( U, X, Y ), midp( skol7( X, V0 ), X, V0 ) }.
% 48.20/48.65 (116) {G0,W4,D2,L1,V0,M1} I { midp( skol26, skol25, skol22 ) }.
% 48.20/48.65 (117) {G0,W4,D2,L1,V0,M1} I { midp( skol23, skol20, skol25 ) }.
% 48.20/48.65 (118) {G0,W4,D2,L1,V0,M1} I { midp( skol27, skol22, skol20 ) }.
% 48.20/48.65 (119) {G0,W5,D2,L1,V0,M1} I { para( skol25, skol27, skol24, skol26 ) }.
% 48.20/48.65 (120) {G0,W5,D2,L1,V0,M1} I { para( skol25, skol22, skol24, skol27 ) }.
% 48.20/48.65 (121) {G0,W5,D2,L1,V0,M1} I { ! para( skol22, skol23, skol24, skol20 ) }.
% 48.20/48.65 (124) {G1,W10,D2,L2,V3,M2} F(11) { ! cong( X, Y, X, Z ), circle( X, Y, Z, Z
% 48.20/48.65 ) }.
% 48.20/48.65 (127) {G1,W15,D2,L3,V4,M3} F(12) { ! cong( X, Y, X, Z ), ! cong( X, Y, X, T
% 48.20/48.65 ), cyclic( Y, Z, T, T ) }.
% 48.20/48.65 (128) {G2,W10,D2,L2,V3,M2} F(127) { ! cong( X, Y, X, Z ), cyclic( Y, Z, Z,
% 48.20/48.65 Z ) }.
% 48.20/48.65 (129) {G1,W10,D2,L2,V4,M2} F(16) { ! cyclic( X, Y, Z, T ), cyclic( Y, Z, T
% 48.20/48.65 , T ) }.
% 48.20/48.65 (135) {G1,W15,D2,L3,V3,M3} F(57) { ! cong( X, Y, Z, Y ), ! cyclic( X, Z, Y
% 48.20/48.65 , Y ), perp( Y, X, X, Y ) }.
% 48.20/48.65 (144) {G1,W18,D3,L4,V4,M4} F(88) { ! midp( X, Y, Z ), ! coll( Y, Y, Z ), !
% 48.20/48.65 coll( Z, Y, Z ), midp( skol7( Y, T ), Y, T ) }.
% 48.20/48.65 (162) {G1,W4,D2,L1,V0,M1} R(69,118) { coll( skol27, skol22, skol20 ) }.
% 48.20/48.65 (191) {G1,W12,D2,L3,V4,M3} R(2,0) { ! coll( X, Y, Z ), ! coll( X, Y, T ),
% 48.20/48.65 coll( Z, X, T ) }.
% 48.20/48.65 (192) {G2,W8,D2,L2,V3,M2} F(191) { ! coll( X, Y, Z ), coll( Z, X, Z ) }.
% 48.20/48.65 (209) {G1,W5,D2,L1,V0,M1} R(3,120) { para( skol25, skol22, skol27, skol24 )
% 48.20/48.65 }.
% 48.20/48.65 (217) {G2,W4,D2,L1,V0,M1} R(162,1) { coll( skol22, skol27, skol20 ) }.
% 48.20/48.65 (221) {G3,W4,D2,L1,V0,M1} R(217,0) { coll( skol22, skol20, skol27 ) }.
% 48.20/48.65 (224) {G1,W5,D2,L1,V0,M1} R(4,119) { para( skol24, skol26, skol25, skol27 )
% 48.20/48.65 }.
% 48.20/48.65 (225) {G1,W5,D2,L1,V0,M1} R(4,120) { para( skol24, skol27, skol25, skol22 )
% 48.20/48.65 }.
% 48.20/48.65 (226) {G1,W5,D2,L1,V0,M1} R(4,121) { ! para( skol24, skol20, skol22, skol23
% 48.20/48.65 ) }.
% 48.20/48.65 (229) {G4,W4,D2,L1,V0,M1} R(221,1) { coll( skol20, skol22, skol27 ) }.
% 48.20/48.65 (232) {G5,W4,D2,L1,V0,M1} R(229,0) { coll( skol20, skol27, skol22 ) }.
% 48.20/48.65 (246) {G1,W10,D2,L2,V2,M2} R(5,120) { ! para( X, Y, skol25, skol22 ), para
% 48.20/48.65 ( X, Y, skol24, skol27 ) }.
% 48.20/48.65 (252) {G2,W5,D2,L1,V0,M1} R(224,3) { para( skol24, skol26, skol27, skol25 )
% 48.20/48.65 }.
% 48.20/48.65 (255) {G3,W5,D2,L1,V0,M1} R(252,4) { para( skol27, skol25, skol24, skol26 )
% 48.20/48.65 }.
% 48.20/48.65 (258) {G4,W5,D2,L1,V0,M1} R(255,3) { para( skol27, skol25, skol26, skol24 )
% 48.20/48.65 }.
% 48.20/48.65 (261) {G5,W5,D2,L1,V0,M1} R(258,4) { para( skol26, skol24, skol27, skol25 )
% 48.20/48.65 }.
% 48.20/48.65 (264) {G6,W5,D2,L1,V0,M1} R(261,3) { para( skol26, skol24, skol25, skol27 )
% 48.20/48.65 }.
% 48.20/48.65 (269) {G2,W5,D2,L1,V0,M1} R(225,3) { para( skol24, skol27, skol22, skol25 )
% 48.20/48.65 }.
% 48.20/48.65 (272) {G3,W5,D2,L1,V0,M1} R(269,4) { para( skol22, skol25, skol24, skol27 )
% 48.20/48.65 }.
% 48.20/48.65 (273) {G1,W10,D2,L2,V4,M2} R(7,6) { perp( X, Y, Z, T ), ! perp( Z, T, Y, X
% 48.20/48.65 ) }.
% 48.20/48.65 (277) {G4,W5,D2,L1,V0,M1} R(272,3) { para( skol22, skol25, skol27, skol24 )
% 48.20/48.65 }.
% 48.20/48.65 (280) {G5,W5,D2,L1,V0,M1} R(277,4) { para( skol27, skol24, skol22, skol25 )
% 48.20/48.65 }.
% 48.20/48.65 (283) {G6,W5,D2,L1,V0,M1} R(280,3) { para( skol27, skol24, skol25, skol22 )
% 48.20/48.65 }.
% 48.20/48.65 (292) {G1,W15,D2,L3,V6,M3} R(8,4) { ! perp( X, Y, Z, T ), ! perp( Z, T, U,
% 48.20/48.65 W ), para( U, W, X, Y ) }.
% 48.20/48.65 (300) {G2,W5,D2,L1,V0,M1} R(226,3) { ! para( skol24, skol20, skol23, skol22
% 48.20/48.65 ) }.
% 48.20/48.65 (302) {G3,W10,D2,L2,V2,M2} R(300,5) { ! para( skol24, skol20, X, Y ), !
% 48.20/48.65 para( X, Y, skol23, skol22 ) }.
% 48.20/48.65 (312) {G1,W20,D2,L4,V8,M4} R(9,8) { ! para( X, Y, Z, T ), ! perp( Z, T, U,
% 48.20/48.65 W ), ! perp( V0, V1, X, Y ), para( V0, V1, U, W ) }.
% 48.20/48.65 (341) {G2,W10,D2,L2,V2,M2} R(209,5) { ! para( skol27, skol24, X, Y ), para
% 48.20/48.65 ( skol25, skol22, X, Y ) }.
% 48.20/48.65 (343) {G1,W4,D2,L1,V0,M1} R(10,116) { midp( skol26, skol22, skol25 ) }.
% 48.20/48.65 (344) {G1,W4,D2,L1,V0,M1} R(10,117) { midp( skol23, skol25, skol20 ) }.
% 48.20/48.65 (345) {G1,W4,D2,L1,V0,M1} R(10,118) { midp( skol27, skol20, skol22 ) }.
% 48.20/48.65 (350) {G6,W4,D2,L1,V0,M1} R(192,232) { coll( skol22, skol20, skol22 ) }.
% 48.20/48.65 (353) {G3,W4,D2,L1,V0,M1} R(192,217) { coll( skol20, skol22, skol20 ) }.
% 48.20/48.65 (361) {G3,W12,D2,L3,V4,M3} R(192,2) { coll( X, Y, X ), ! coll( X, Z, Y ), !
% 48.20/48.65 coll( X, Z, T ) }.
% 48.20/48.65 (373) {G4,W8,D2,L2,V3,M2} F(361) { coll( X, Y, X ), ! coll( X, Z, Y ) }.
% 48.20/48.65 (394) {G1,W10,D2,L2,V4,M2} R(14,13) { cyclic( X, Y, Z, T ), ! cyclic( X, Z
% 48.20/48.65 , T, Y ) }.
% 48.20/48.65 (405) {G4,W4,D2,L1,V0,M1} R(353,0) { coll( skol20, skol20, skol22 ) }.
% 48.20/48.65 (406) {G1,W10,D2,L2,V4,M2} R(15,14) { cyclic( X, Y, Z, T ), ! cyclic( Y, Z
% 48.20/48.65 , X, T ) }.
% 48.20/48.65 (424) {G1,W15,D2,L3,V5,M3} R(16,15) { ! cyclic( X, Y, Z, T ), ! cyclic( X,
% 48.20/48.65 Y, Z, U ), cyclic( Z, Y, T, U ) }.
% 48.20/48.65 (433) {G2,W10,D2,L2,V4,M2} F(424) { ! cyclic( X, Y, Z, T ), cyclic( Z, Y, T
% 48.20/48.65 , T ) }.
% 48.20/48.65 (517) {G1,W10,D2,L2,V4,M2} R(23,22) { ! cong( X, Y, Z, T ), cong( Z, T, Y,
% 48.20/48.65 X ) }.
% 48.20/48.65 (518) {G1,W20,D2,L4,V5,M4} R(23,12) { ! cong( X, Y, X, Z ), ! cong( X, Z, X
% 48.20/48.65 , T ), ! cong( X, Z, X, U ), cyclic( Z, Y, T, U ) }.
% 48.20/48.65 (535) {G1,W15,D2,L3,V6,M3} R(24,23) { ! cong( X, Y, Z, T ), cong( U, W, Z,
% 48.20/48.65 T ), ! cong( X, Y, U, W ) }.
% 48.20/48.65 (536) {G1,W15,D2,L3,V6,M3} R(24,23) { ! cong( X, Y, Z, T ), cong( X, Y, U,
% 48.20/48.65 W ), ! cong( U, W, Z, T ) }.
% 48.20/48.65 (547) {G2,W10,D2,L2,V4,M2} F(536) { ! cong( X, Y, Z, T ), cong( X, Y, X, Y
% 48.20/48.65 ) }.
% 48.20/48.65 (548) {G2,W10,D2,L2,V4,M2} F(535) { ! cong( X, Y, Z, T ), cong( Z, T, Z, T
% 48.20/48.65 ) }.
% 48.20/48.65 (579) {G5,W8,D2,L2,V3,M2} R(373,1) { ! coll( X, Y, Z ), coll( Z, X, X ) }.
% 48.20/48.65 (588) {G6,W8,D2,L2,V3,M2} R(579,1) { coll( X, Y, Y ), ! coll( Z, Y, X ) }.
% 48.20/48.65 (590) {G6,W8,D2,L2,V3,M2} R(579,0) { coll( X, Y, Y ), ! coll( Y, X, Z ) }.
% 48.20/48.65 (591) {G7,W8,D2,L2,V3,M2} R(588,579) { ! coll( X, Y, Z ), coll( Y, Z, Z )
% 48.20/48.65 }.
% 48.20/48.65 (595) {G8,W8,D2,L2,V3,M2} R(591,69) { coll( X, Y, Y ), ! midp( Z, X, Y )
% 48.20/48.65 }.
% 48.20/48.65 (596) {G9,W8,D2,L2,V3,M2} R(595,373) { ! midp( X, Y, Z ), coll( Y, Z, Y )
% 48.20/48.65 }.
% 48.20/48.65 (611) {G10,W8,D2,L2,V3,M2} R(596,0) { ! midp( X, Y, Z ), coll( Y, Y, Z )
% 48.20/48.65 }.
% 48.20/48.65 (643) {G7,W8,D2,L2,V3,M2} R(590,590) { ! coll( X, Y, Z ), coll( X, Y, Y )
% 48.20/48.65 }.
% 48.20/48.65 (662) {G8,W12,D2,L3,V4,M3} R(643,2) { ! coll( X, Y, Z ), ! coll( X, Y, T )
% 48.20/48.65 , coll( T, Y, X ) }.
% 48.20/48.65 (663) {G9,W8,D2,L2,V3,M2} F(662) { ! coll( X, Y, Z ), coll( Z, Y, X ) }.
% 48.20/48.65 (671) {G10,W8,D2,L2,V3,M2} R(663,69) { coll( X, Y, Z ), ! midp( Z, Y, X )
% 48.20/48.65 }.
% 48.20/48.65 (981) {G1,W20,D2,L4,V4,M4} R(43,40);f { ! cyclic( X, Y, Z, X ), ! cyclic( X
% 48.20/48.65 , Y, Z, Y ), ! cyclic( X, Y, Z, T ), cong( X, Y, X, Y ) }.
% 48.20/48.65 (1013) {G2,W15,D2,L3,V3,M3} F(981) { ! cyclic( X, Y, Z, X ), ! cyclic( X, Y
% 48.20/48.65 , Z, Y ), cong( X, Y, X, Y ) }.
% 48.20/48.65 (1046) {G1,W9,D2,L2,V2,M2} R(44,118) { ! midp( X, skol22, Y ), para( skol27
% 48.20/48.65 , X, skol20, Y ) }.
% 48.20/48.65 (1177) {G7,W12,D2,L3,V1,M3} R(45,264) { ! midp( skol26, X, skol25 ), ! coll
% 48.20/48.65 ( skol24, X, skol27 ), midp( skol24, X, skol27 ) }.
% 48.20/48.65 (1325) {G1,W15,D2,L3,V4,M3} R(49,40) { ! circle( X, Y, Z, T ), perp( X, Y,
% 48.20/48.65 Y, Y ), ! cyclic( Y, Z, Y, T ) }.
% 48.20/48.65 (1725) {G1,W15,D2,L3,V4,M3} R(56,22) { ! cong( X, Y, Z, Y ), perp( X, Z, Y
% 48.20/48.65 , T ), ! cong( X, T, T, Z ) }.
% 48.20/48.65 (1960) {G2,W9,D2,L2,V2,M2} R(63,345) { ! midp( skol27, X, Y ), para( X,
% 48.20/48.65 skol20, Y, skol22 ) }.
% 48.20/48.65 (2031) {G2,W14,D2,L3,V2,M3} R(64,344) { ! para( skol25, X, skol20, Y ), !
% 48.20/48.65 para( skol25, Y, skol20, X ), midp( skol23, X, Y ) }.
% 48.20/48.65 (2068) {G1,W18,D2,L4,V5,M4} R(64,3) { ! midp( X, Y, Z ), ! para( Y, T, Z, U
% 48.20/48.65 ), midp( X, U, T ), ! para( Y, U, T, Z ) }.
% 48.20/48.65 (2531) {G2,W5,D2,L1,V0,M1} R(68,345) { cong( skol27, skol20, skol27, skol22
% 48.20/48.65 ) }.
% 48.20/48.65 (2534) {G1,W5,D2,L1,V0,M1} R(68,116) { cong( skol26, skol25, skol26, skol22
% 48.20/48.65 ) }.
% 48.20/48.65 (2536) {G1,W5,D2,L1,V0,M1} R(68,118) { cong( skol27, skol22, skol27, skol20
% 48.20/48.65 ) }.
% 48.20/48.65 (2545) {G3,W5,D2,L1,V0,M1} R(2531,22) { cong( skol27, skol20, skol22,
% 48.20/48.65 skol27 ) }.
% 48.20/48.65 (2557) {G4,W5,D2,L1,V0,M1} R(2545,23) { cong( skol22, skol27, skol27,
% 48.20/48.65 skol20 ) }.
% 48.20/48.65 (2561) {G5,W5,D2,L1,V0,M1} R(2557,22) { cong( skol22, skol27, skol20,
% 48.20/48.65 skol27 ) }.
% 48.20/48.65 (7449) {G3,W5,D2,L1,V0,M1} R(128,2534) { cyclic( skol25, skol22, skol22,
% 48.20/48.65 skol22 ) }.
% 48.20/48.65 (8243) {G5,W10,D3,L2,V1,M2} R(144,345);r(405) { ! coll( skol22, skol20,
% 48.20/48.65 skol22 ), midp( skol7( skol20, X ), skol20, X ) }.
% 48.20/48.65 (8279) {G4,W5,D2,L1,V0,M1} R(7449,129) { cyclic( skol22, skol22, skol22,
% 48.20/48.65 skol22 ) }.
% 48.20/48.65 (8284) {G4,W5,D2,L1,V0,M1} R(7449,15) { cyclic( skol22, skol25, skol22,
% 48.20/48.65 skol22 ) }.
% 48.20/48.65 (8394) {G5,W5,D2,L1,V0,M1} R(8284,14) { cyclic( skol22, skol22, skol25,
% 48.20/48.65 skol22 ) }.
% 48.20/48.65 (16236) {G7,W5,D2,L1,V0,M1} R(246,283) { para( skol27, skol24, skol24,
% 48.20/48.65 skol27 ) }.
% 48.20/48.65 (16258) {G8,W5,D2,L1,V0,M1} R(16236,4) { para( skol24, skol27, skol27,
% 48.20/48.65 skol24 ) }.
% 48.20/48.65 (16473) {G11,W8,D2,L2,V1,M2} R(16258,45);r(671) { ! midp( skol24, X, skol27
% 48.20/48.65 ), midp( skol27, X, skol24 ) }.
% 48.20/48.65 (20104) {G7,W6,D3,L1,V1,M1} S(8243);r(350) { midp( skol7( skol20, X ),
% 48.20/48.65 skol20, X ) }.
% 48.20/48.65 (20215) {G11,W4,D2,L1,V1,M1} R(20104,611) { coll( skol20, skol20, X ) }.
% 48.20/48.65 (20373) {G12,W4,D2,L1,V2,M1} R(20215,191);r(20215) { coll( Y, skol20, X )
% 48.20/48.65 }.
% 48.20/48.65 (20392) {G13,W4,D2,L1,V3,M1} R(20373,191);r(20373) { coll( Z, X, Y ) }.
% 48.20/48.65 (24275) {G12,W8,D2,L2,V1,M2} R(16473,10) { ! midp( skol24, X, skol27 ),
% 48.20/48.65 midp( skol27, skol24, X ) }.
% 48.20/48.65 (25552) {G3,W5,D2,L1,V0,M1} R(547,2536) { cong( skol27, skol22, skol27,
% 48.20/48.65 skol22 ) }.
% 48.20/48.65 (25562) {G6,W5,D2,L1,V0,M1} R(547,2561) { cong( skol22, skol27, skol22,
% 48.20/48.65 skol27 ) }.
% 48.20/48.65 (25605) {G4,W5,D2,L1,V0,M1} R(25552,124) { circle( skol27, skol22, skol22,
% 48.20/48.65 skol22 ) }.
% 48.20/48.65 (28114) {G6,W5,D2,L1,V0,M1} R(1013,8394);r(8394) { cong( skol22, skol22,
% 48.20/48.65 skol22, skol22 ) }.
% 48.20/48.65 (31483) {G7,W5,D2,L1,V0,M1} R(28114,135);r(8279) { perp( skol22, skol22,
% 48.20/48.65 skol22, skol22 ) }.
% 48.20/48.65 (31508) {G8,W10,D2,L2,V2,M2} R(31483,292) { ! perp( skol22, skol22, X, Y )
% 48.20/48.65 , para( X, Y, skol22, skol22 ) }.
% 48.20/48.65 (39010) {G14,W8,D2,L2,V1,M2} S(1177);r(20392) { ! midp( skol26, X, skol25 )
% 48.20/48.65 , midp( skol24, X, skol27 ) }.
% 48.20/48.65 (43836) {G5,W5,D2,L1,V0,M1} R(1325,25605);r(8279) { perp( skol27, skol22,
% 48.20/48.65 skol22, skol22 ) }.
% 48.20/48.65 (48611) {G15,W4,D2,L1,V0,M1} R(39010,343) { midp( skol24, skol22, skol27 )
% 48.20/48.65 }.
% 48.20/48.65 (48644) {G16,W4,D2,L1,V0,M1} R(48611,24275) { midp( skol27, skol24, skol22
% 48.20/48.65 ) }.
% 48.20/48.65 (48662) {G16,W4,D2,L1,V0,M1} R(48611,10) { midp( skol24, skol27, skol22 )
% 48.20/48.65 }.
% 48.20/48.65 (49380) {G17,W5,D2,L1,V0,M1} R(48662,68) { cong( skol24, skol27, skol24,
% 48.20/48.65 skol22 ) }.
% 48.20/48.65 (49397) {G18,W5,D2,L1,V0,M1} R(49380,547) { cong( skol24, skol27, skol24,
% 48.20/48.65 skol27 ) }.
% 48.20/48.65 (49439) {G18,W15,D2,L3,V2,M3} R(49380,518) { ! cong( skol24, X, skol24,
% 48.20/48.65 skol27 ), ! cong( skol24, skol27, skol24, Y ), cyclic( skol27, X, Y,
% 48.20/48.65 skol22 ) }.
% 48.20/48.65 (49486) {G19,W5,D2,L1,V0,M1} F(49439);r(49397) { cyclic( skol27, skol27,
% 48.20/48.65 skol27, skol22 ) }.
% 48.20/48.65 (52262) {G20,W5,D2,L1,V0,M1} R(49486,433) { cyclic( skol27, skol27, skol22
% 48.20/48.65 , skol22 ) }.
% 48.20/48.65 (52293) {G21,W5,D2,L1,V0,M1} R(52262,406) { cyclic( skol22, skol27, skol27
% 48.20/48.65 , skol22 ) }.
% 48.20/48.65 (52307) {G22,W5,D2,L1,V0,M1} R(52293,394) { cyclic( skol22, skol22, skol27
% 48.20/48.65 , skol27 ) }.
% 48.20/48.65 (52370) {G23,W5,D2,L1,V0,M1} R(52307,135);r(25562) { perp( skol27, skol22,
% 48.20/48.65 skol22, skol27 ) }.
% 48.20/48.65 (52420) {G24,W5,D2,L1,V0,M1} R(52370,273) { perp( skol27, skol22, skol27,
% 48.20/48.65 skol22 ) }.
% 48.20/48.65 (52468) {G25,W10,D2,L2,V2,M2} R(52420,292) { ! perp( skol27, skol22, X, Y )
% 48.20/48.65 , para( X, Y, skol27, skol22 ) }.
% 48.20/48.65 (72346) {G17,W5,D2,L1,V0,M1} R(1960,48644) { para( skol24, skol20, skol22,
% 48.20/48.65 skol22 ) }.
% 48.20/48.65 (72440) {G18,W5,D2,L1,V0,M1} R(72346,302) { ! para( skol22, skol22, skol23
% 48.20/48.65 , skol22 ) }.
% 48.20/48.65 (72480) {G19,W15,D2,L3,V4,M3} R(72440,312) { ! para( X, Y, Z, T ), ! perp(
% 48.20/48.65 Z, T, skol23, skol22 ), ! perp( skol22, skol22, X, Y ) }.
% 48.20/48.65 (72501) {G20,W5,D2,L1,V0,M1} F(72480);r(31508) { ! perp( skol22, skol22,
% 48.20/48.65 skol23, skol22 ) }.
% 48.20/48.65 (72505) {G21,W5,D2,L1,V0,M1} R(72501,1725);r(28114) { ! cong( skol22,
% 48.20/48.65 skol23, skol22, skol23 ) }.
% 48.20/48.65 (72706) {G22,W5,D2,L1,V2,M1} R(72505,548) { ! cong( X, Y, skol22, skol23 )
% 48.20/48.65 }.
% 48.20/48.65 (76484) {G23,W5,D2,L1,V2,M1} R(72706,517) { ! cong( skol23, skol22, X, Y )
% 48.20/48.65 }.
% 48.20/48.65 (76545) {G24,W4,D2,L1,V1,M1} R(76484,68) { ! midp( skol23, skol22, X ) }.
% 48.20/48.65 (76571) {G25,W4,D2,L1,V1,M1} R(76545,10) { ! midp( skol23, X, skol22 ) }.
% 48.20/48.65 (80043) {G26,W10,D2,L2,V1,M2} R(2031,76571) { ! para( skol25, X, skol20,
% 48.20/48.65 skol22 ), ! para( skol25, skol22, skol20, X ) }.
% 48.20/48.65 (80092) {G27,W5,D2,L1,V0,M1} F(80043) { ! para( skol25, skol22, skol20,
% 48.20/48.65 skol22 ) }.
% 48.20/48.65 (80116) {G28,W5,D2,L1,V0,M1} R(80092,341) { ! para( skol27, skol24, skol20
% 48.20/48.65 , skol22 ) }.
% 48.20/48.65 (80151) {G29,W4,D2,L1,V0,M1} R(80116,1046) { ! midp( skol24, skol22, skol22
% 48.20/48.65 ) }.
% 48.20/48.65 (82043) {G17,W14,D2,L3,V2,M3} R(2068,48662) { ! para( skol27, X, skol22, Y
% 48.20/48.65 ), midp( skol24, Y, X ), ! para( skol27, Y, X, skol22 ) }.
% 48.20/48.65 (82133) {G30,W5,D2,L1,V0,M1} F(82043);r(80151) { ! para( skol27, skol22,
% 48.20/48.65 skol22, skol22 ) }.
% 48.20/48.65 (82158) {G31,W15,D2,L3,V4,M3} R(82133,312) { ! para( X, Y, Z, T ), ! perp(
% 48.20/48.65 Z, T, skol22, skol22 ), ! perp( skol27, skol22, X, Y ) }.
% 48.20/48.65 (82175) {G32,W5,D2,L1,V0,M1} F(82158);r(52468) { ! perp( skol27, skol22,
% 48.20/48.65 skol22, skol22 ) }.
% 48.20/48.65 (82176) {G33,W0,D0,L0,V0,M0} S(82175);r(43836) { }.
% 48.20/48.65
% 48.20/48.65
% 48.20/48.65 % SZS output end Refutation
% 48.20/48.65 found a proof!
% 48.20/48.65
% 48.20/48.65
% 48.20/48.65 Unprocessed initial clauses:
% 48.20/48.65
% 48.20/48.65 (82178) {G0,W8,D2,L2,V3,M2} { ! coll( X, Y, Z ), coll( X, Z, Y ) }.
% 48.20/48.65 (82179) {G0,W8,D2,L2,V3,M2} { ! coll( X, Y, Z ), coll( Y, X, Z ) }.
% 48.20/48.65 (82180) {G0,W12,D2,L3,V4,M3} { ! coll( X, T, Y ), ! coll( X, T, Z ), coll
% 48.20/48.65 ( Y, Z, X ) }.
% 48.20/48.65 (82181) {G0,W10,D2,L2,V4,M2} { ! para( X, Y, Z, T ), para( X, Y, T, Z )
% 48.20/48.65 }.
% 48.20/48.65 (82182) {G0,W10,D2,L2,V4,M2} { ! para( X, Y, Z, T ), para( Z, T, X, Y )
% 48.20/48.65 }.
% 48.20/48.65 (82183) {G0,W15,D2,L3,V6,M3} { ! para( X, Y, U, W ), ! para( U, W, Z, T )
% 48.20/48.65 , para( X, Y, Z, T ) }.
% 48.20/48.65 (82184) {G0,W10,D2,L2,V4,M2} { ! perp( X, Y, Z, T ), perp( X, Y, T, Z )
% 48.20/48.65 }.
% 48.20/48.65 (82185) {G0,W10,D2,L2,V4,M2} { ! perp( X, Y, Z, T ), perp( Z, T, X, Y )
% 48.20/48.65 }.
% 48.20/48.65 (82186) {G0,W15,D2,L3,V6,M3} { ! perp( X, Y, U, W ), ! perp( U, W, Z, T )
% 48.20/48.65 , para( X, Y, Z, T ) }.
% 48.20/48.65 (82187) {G0,W15,D2,L3,V6,M3} { ! para( X, Y, U, W ), ! perp( U, W, Z, T )
% 48.20/48.65 , perp( X, Y, Z, T ) }.
% 48.20/48.65 (82188) {G0,W8,D2,L2,V3,M2} { ! midp( Z, Y, X ), midp( Z, X, Y ) }.
% 48.20/48.65 (82189) {G0,W15,D2,L3,V4,M3} { ! cong( T, X, T, Y ), ! cong( T, X, T, Z )
% 48.20/48.65 , circle( T, X, Y, Z ) }.
% 48.20/48.65 (82190) {G0,W20,D2,L4,V5,M4} { ! cong( U, X, U, Y ), ! cong( U, X, U, Z )
% 48.20/48.65 , ! cong( U, X, U, T ), cyclic( X, Y, Z, T ) }.
% 48.20/48.65 (82191) {G0,W10,D2,L2,V4,M2} { ! cyclic( X, Y, Z, T ), cyclic( X, Y, T, Z
% 48.20/48.65 ) }.
% 48.20/48.65 (82192) {G0,W10,D2,L2,V4,M2} { ! cyclic( X, Y, Z, T ), cyclic( X, Z, Y, T
% 48.20/48.65 ) }.
% 48.20/48.65 (82193) {G0,W10,D2,L2,V4,M2} { ! cyclic( X, Y, Z, T ), cyclic( Y, X, Z, T
% 48.20/48.65 ) }.
% 48.20/48.65 (82194) {G0,W15,D2,L3,V5,M3} { ! cyclic( U, X, Y, Z ), ! cyclic( U, X, Y,
% 48.20/48.65 T ), cyclic( X, Y, Z, T ) }.
% 48.20/48.65 (82195) {G0,W18,D2,L2,V8,M2} { ! eqangle( X, Y, Z, T, U, W, V0, V1 ),
% 48.20/48.65 eqangle( Y, X, Z, T, U, W, V0, V1 ) }.
% 48.20/48.65 (82196) {G0,W18,D2,L2,V8,M2} { ! eqangle( X, Y, Z, T, U, W, V0, V1 ),
% 48.20/48.65 eqangle( Z, T, X, Y, V0, V1, U, W ) }.
% 48.20/48.65 (82197) {G0,W18,D2,L2,V8,M2} { ! eqangle( X, Y, Z, T, U, W, V0, V1 ),
% 48.20/48.65 eqangle( U, W, V0, V1, X, Y, Z, T ) }.
% 48.20/48.65 (82198) {G0,W18,D2,L2,V8,M2} { ! eqangle( X, Y, Z, T, U, W, V0, V1 ),
% 48.20/48.65 eqangle( X, Y, U, W, Z, T, V0, V1 ) }.
% 48.20/48.65 (82199) {G0,W27,D2,L3,V12,M3} { ! eqangle( X, Y, Z, T, V2, V3, V4, V5 ), !
% 48.20/48.65 eqangle( V2, V3, V4, V5, U, W, V0, V1 ), eqangle( X, Y, Z, T, U, W, V0,
% 48.20/48.65 V1 ) }.
% 48.20/48.65 (82200) {G0,W10,D2,L2,V4,M2} { ! cong( X, Y, Z, T ), cong( X, Y, T, Z )
% 48.20/48.65 }.
% 48.20/48.65 (82201) {G0,W10,D2,L2,V4,M2} { ! cong( X, Y, Z, T ), cong( Z, T, X, Y )
% 48.20/48.65 }.
% 48.20/48.65 (82202) {G0,W15,D2,L3,V6,M3} { ! cong( X, Y, U, W ), ! cong( U, W, Z, T )
% 48.20/48.65 , cong( X, Y, Z, T ) }.
% 48.20/48.65 (82203) {G0,W18,D2,L2,V8,M2} { ! eqratio( X, Y, Z, T, U, W, V0, V1 ),
% 48.20/48.65 eqratio( Y, X, Z, T, U, W, V0, V1 ) }.
% 48.20/48.65 (82204) {G0,W18,D2,L2,V8,M2} { ! eqratio( X, Y, Z, T, U, W, V0, V1 ),
% 48.20/48.65 eqratio( Z, T, X, Y, V0, V1, U, W ) }.
% 48.20/48.65 (82205) {G0,W18,D2,L2,V8,M2} { ! eqratio( X, Y, Z, T, U, W, V0, V1 ),
% 48.20/48.65 eqratio( U, W, V0, V1, X, Y, Z, T ) }.
% 48.20/48.65 (82206) {G0,W18,D2,L2,V8,M2} { ! eqratio( X, Y, Z, T, U, W, V0, V1 ),
% 48.20/48.65 eqratio( X, Y, U, W, Z, T, V0, V1 ) }.
% 48.20/48.65 (82207) {G0,W27,D2,L3,V12,M3} { ! eqratio( X, Y, Z, T, V2, V3, V4, V5 ), !
% 48.20/48.65 eqratio( V2, V3, V4, V5, U, W, V0, V1 ), eqratio( X, Y, Z, T, U, W, V0,
% 48.20/48.65 V1 ) }.
% 48.20/48.65 (82208) {G0,W14,D2,L2,V6,M2} { ! simtri( X, Z, Y, T, W, U ), simtri( X, Y
% 48.20/48.65 , Z, T, U, W ) }.
% 48.20/48.65 (82209) {G0,W14,D2,L2,V6,M2} { ! simtri( Y, X, Z, U, T, W ), simtri( X, Y
% 48.20/48.65 , Z, T, U, W ) }.
% 48.20/48.65 (82210) {G0,W14,D2,L2,V6,M2} { ! simtri( T, U, W, X, Y, Z ), simtri( X, Y
% 48.20/48.65 , Z, T, U, W ) }.
% 48.20/48.65 (82211) {G0,W21,D2,L3,V9,M3} { ! simtri( X, Y, Z, V0, V1, V2 ), ! simtri(
% 48.20/48.65 V0, V1, V2, T, U, W ), simtri( X, Y, Z, T, U, W ) }.
% 48.20/48.65 (82212) {G0,W14,D2,L2,V6,M2} { ! contri( X, Z, Y, T, W, U ), contri( X, Y
% 48.20/48.65 , Z, T, U, W ) }.
% 48.20/48.65 (82213) {G0,W14,D2,L2,V6,M2} { ! contri( Y, X, Z, U, T, W ), contri( X, Y
% 48.20/48.65 , Z, T, U, W ) }.
% 48.20/48.65 (82214) {G0,W14,D2,L2,V6,M2} { ! contri( T, U, W, X, Y, Z ), contri( X, Y
% 48.20/48.65 , Z, T, U, W ) }.
% 48.20/48.65 (82215) {G0,W21,D2,L3,V9,M3} { ! contri( X, Y, Z, V0, V1, V2 ), ! contri(
% 48.20/48.65 V0, V1, V2, T, U, W ), contri( X, Y, Z, T, U, W ) }.
% 48.20/48.65 (82216) {G0,W14,D2,L2,V6,M2} { ! eqangle( X, Y, U, W, Z, T, U, W ), para(
% 48.20/48.65 X, Y, Z, T ) }.
% 48.20/48.65 (82217) {G0,W14,D2,L2,V6,M2} { ! para( X, Y, Z, T ), eqangle( X, Y, U, W,
% 48.20/48.65 Z, T, U, W ) }.
% 48.20/48.65 (82218) {G0,W14,D2,L2,V4,M2} { ! cyclic( X, Y, Z, T ), eqangle( Z, X, Z, Y
% 48.20/48.65 , T, X, T, Y ) }.
% 48.20/48.65 (82219) {G0,W18,D2,L3,V4,M3} { ! eqangle( Z, X, Z, Y, T, X, T, Y ), coll(
% 48.20/48.65 Z, T, X ), cyclic( X, Y, Z, T ) }.
% 48.20/48.65 (82220) {G0,W18,D2,L3,V4,M3} { ! eqangle( Z, X, Z, Y, T, X, T, Y ), ! coll
% 48.20/48.65 ( Z, T, Y ), cyclic( X, Y, Z, T ) }.
% 48.20/48.65 (82221) {G0,W29,D2,L5,V6,M5} { ! cyclic( X, Y, U, Z ), ! cyclic( X, Y, U,
% 48.20/48.65 T ), ! cyclic( X, Y, U, W ), ! eqangle( U, X, U, Y, W, Z, W, T ), cong( X
% 48.20/48.65 , Y, Z, T ) }.
% 48.20/48.65 (82222) {G0,W13,D2,L3,V5,M3} { ! midp( Z, U, X ), ! midp( T, U, Y ), para
% 48.20/48.65 ( Z, T, X, Y ) }.
% 48.20/48.65 (82223) {G0,W17,D2,L4,V5,M4} { ! midp( U, X, T ), ! para( U, Z, T, Y ), !
% 48.20/48.65 coll( Z, X, Y ), midp( Z, X, Y ) }.
% 48.20/48.65 (82224) {G0,W14,D2,L2,V3,M2} { ! cong( Z, X, Z, Y ), eqangle( Z, X, X, Y,
% 48.20/48.65 X, Y, Z, Y ) }.
% 48.20/48.65 (82225) {G0,W18,D2,L3,V3,M3} { ! eqangle( Z, X, X, Y, X, Y, Z, Y ), coll(
% 48.20/48.65 Z, X, Y ), cong( Z, X, Z, Y ) }.
% 48.20/48.65 (82226) {G0,W19,D2,L3,V5,M3} { ! circle( U, X, Y, Z ), ! perp( U, X, X, T
% 48.20/48.65 ), eqangle( X, T, X, Y, Z, X, Z, Y ) }.
% 48.20/48.65 (82227) {G0,W19,D2,L3,V5,M3} { ! circle( Y, X, T, U ), ! eqangle( X, Z, X
% 48.20/48.65 , T, U, X, U, T ), perp( Y, X, X, Z ) }.
% 48.20/48.65 (82228) {G0,W18,D2,L3,V5,M3} { ! circle( T, X, Y, Z ), ! midp( U, Y, Z ),
% 48.20/48.65 eqangle( X, Y, X, Z, T, Y, T, U ) }.
% 48.20/48.65 (82229) {G0,W22,D2,L4,V5,M4} { ! circle( U, T, X, Y ), ! coll( Z, X, Y ),
% 48.20/48.65 ! eqangle( T, X, T, Y, U, X, U, Z ), midp( Z, X, Y ) }.
% 48.20/48.65 (82230) {G0,W14,D2,L3,V4,M3} { ! perp( X, Y, Y, T ), ! midp( Z, X, T ),
% 48.20/48.65 cong( X, Z, Y, Z ) }.
% 48.20/48.65 (82231) {G0,W14,D2,L3,V4,M3} { ! circle( T, X, Y, Z ), ! coll( T, X, Z ),
% 48.20/48.65 perp( X, Y, Y, Z ) }.
% 48.20/48.65 (82232) {G0,W19,D2,L3,V4,M3} { ! cyclic( X, Y, Z, T ), ! para( X, Y, Z, T
% 48.20/48.65 ), eqangle( X, T, Z, T, Z, T, Z, Y ) }.
% 48.20/48.65 (82233) {G0,W14,D2,L3,V4,M3} { ! midp( T, X, Y ), ! perp( Z, T, X, Y ),
% 48.20/48.65 cong( Z, X, Z, Y ) }.
% 48.20/48.65 (82234) {G0,W15,D2,L3,V4,M3} { ! cong( X, Z, Y, Z ), ! cong( X, T, Y, T )
% 48.20/48.65 , perp( X, Y, Z, T ) }.
% 48.20/48.65 (82235) {G0,W20,D2,L4,V4,M4} { ! cong( X, Y, T, Y ), ! cong( X, Z, T, Z )
% 48.20/48.65 , ! cyclic( X, T, Y, Z ), perp( Y, X, X, Z ) }.
% 48.20/48.65 (82236) {G0,W29,D2,L4,V6,M4} { ! eqangle( X, Y, Y, Z, T, U, U, W ), !
% 48.20/48.65 eqangle( X, Z, Y, Z, T, W, U, W ), coll( X, Y, Z ), simtri( X, Y, Z, T, U
% 48.20/48.65 , W ) }.
% 48.20/48.65 (82237) {G0,W16,D2,L2,V6,M2} { ! simtri( X, Y, Z, T, U, W ), eqratio( X, Y
% 48.20/48.65 , X, Z, T, U, T, W ) }.
% 48.20/48.65 (82238) {G0,W16,D2,L2,V6,M2} { ! simtri( X, Y, Z, T, U, W ), eqangle( X, Y
% 48.20/48.65 , Y, Z, T, U, U, W ) }.
% 48.20/48.65 (82239) {G0,W19,D2,L3,V6,M3} { ! simtri( X, Y, Z, T, U, W ), ! cong( X, Y
% 48.20/48.65 , T, U ), contri( X, Y, Z, T, U, W ) }.
% 48.20/48.65 (82240) {G0,W12,D2,L2,V6,M2} { ! contri( X, Y, U, Z, T, W ), cong( X, Y, Z
% 48.20/48.65 , T ) }.
% 48.20/48.65 (82241) {G0,W13,D2,L3,V5,M3} { ! midp( U, X, Y ), ! midp( U, Z, T ), para
% 48.20/48.65 ( X, Z, Y, T ) }.
% 48.20/48.65 (82242) {G0,W18,D2,L4,V5,M4} { ! midp( Z, T, U ), ! para( T, X, U, Y ), !
% 48.20/48.65 para( T, Y, U, X ), midp( Z, X, Y ) }.
% 48.20/48.65 (82243) {G0,W22,D2,L4,V5,M4} { ! para( X, Y, Z, T ), ! coll( U, X, Z ), !
% 48.20/48.65 coll( U, Y, T ), eqratio( U, X, X, Z, U, Y, Y, T ) }.
% 48.20/48.65 (82244) {G0,W9,D2,L2,V3,M2} { ! para( X, Y, X, Z ), coll( X, Y, Z ) }.
% 48.20/48.65 (82245) {G0,W13,D2,L3,V3,M3} { ! cong( X, Y, X, Z ), ! coll( X, Y, Z ),
% 48.20/48.65 midp( X, Y, Z ) }.
% 48.20/48.65 (82246) {G0,W9,D2,L2,V3,M2} { ! midp( X, Y, Z ), cong( X, Y, X, Z ) }.
% 48.20/48.65 (82247) {G0,W8,D2,L2,V3,M2} { ! midp( X, Y, Z ), coll( X, Y, Z ) }.
% 48.20/48.65 (82248) {G0,W17,D2,L3,V6,M3} { ! midp( U, X, Y ), ! midp( W, Z, T ),
% 48.20/48.65 eqratio( U, X, X, Y, W, Z, Z, T ) }.
% 48.20/48.65 (82249) {G0,W19,D2,L3,V4,M3} { ! eqangle( X, Y, Z, T, Z, T, X, Y ), para(
% 48.20/48.65 X, Y, Z, T ), perp( X, Y, Z, T ) }.
% 48.20/48.65 (82250) {G0,W19,D2,L3,V4,M3} { ! eqangle( X, Y, Z, T, Z, T, X, Y ), perp(
% 48.20/48.65 X, Y, Z, T ), para( X, Y, Z, T ) }.
% 48.20/48.65 (82251) {G0,W19,D2,L3,V8,M3} { ! eqangle( X, Y, Z, T, U, W, V0, V1 ), !
% 48.20/48.65 para( U, W, V0, V1 ), para( X, Y, Z, T ) }.
% 48.20/48.65 (82252) {G0,W19,D2,L3,V8,M3} { ! eqangle( X, Y, Z, T, U, W, V0, V1 ), !
% 48.20/48.65 perp( U, W, V0, V1 ), perp( X, Y, Z, T ) }.
% 48.20/48.65 (82253) {G0,W19,D2,L3,V8,M3} { ! eqratio( X, Y, Z, T, U, W, V0, V1 ), !
% 48.20/48.65 cong( U, W, V0, V1 ), cong( X, Y, Z, T ) }.
% 48.20/48.65 (82254) {G0,W22,D3,L3,V6,M3} { ! perp( Z, Y, Y, X ), ! eqangle( T, Z, Y, Z
% 48.20/48.65 , Y, Z, X, Z ), coll( skol1( U, W, Z, T ), Z, T ) }.
% 48.20/48.65 (82255) {G0,W22,D3,L3,V4,M3} { ! perp( Z, Y, Y, X ), ! eqangle( T, Z, Y, Z
% 48.20/48.65 , Y, Z, X, Z ), coll( skol1( X, Y, Z, T ), X, Y ) }.
% 48.20/48.65 (82256) {G0,W22,D3,L3,V6,M3} { ! cong( Z, X, Z, Y ), ! eqangle( X, Z, Z, T
% 48.20/48.65 , Z, T, Z, Y ), coll( skol2( U, W, Z, T ), Z, T ) }.
% 48.20/48.65 (82257) {G0,W22,D3,L3,V4,M3} { ! cong( Z, X, Z, Y ), ! eqangle( X, Z, Z, T
% 48.20/48.65 , Z, T, Z, Y ), coll( Y, X, skol2( X, Y, Z, T ) ) }.
% 48.20/48.65 (82258) {G0,W22,D3,L3,V6,M3} { ! perp( Z, T, X, Y ), ! eqangle( X, Z, Z, T
% 48.20/48.65 , Z, T, Z, Y ), coll( skol3( U, W, Z, T ), Z, T ) }.
% 48.20/48.65 (82259) {G0,W22,D3,L3,V4,M3} { ! perp( Z, T, X, Y ), ! eqangle( X, Z, Z, T
% 48.20/48.65 , Z, T, Z, Y ), coll( Y, X, skol3( X, Y, Z, T ) ) }.
% 48.20/48.65 (82260) {G0,W18,D3,L3,V6,M3} { ! perp( Z, T, X, Y ), ! cong( Z, X, Z, Y )
% 48.20/48.65 , coll( skol4( U, W, Z, T ), Z, T ) }.
% 48.20/48.65 (82261) {G0,W18,D3,L3,V4,M3} { ! perp( Z, T, X, Y ), ! cong( Z, X, Z, Y )
% 48.20/48.65 , coll( Y, X, skol4( X, Y, Z, T ) ) }.
% 48.20/48.65 (82262) {G0,W22,D3,L3,V6,M3} { ! eqangle( X, Z, Y, Z, X, T, Y, U ), coll(
% 48.20/48.65 X, Y, Z ), cyclic( T, Y, Z, skol5( W, Y, Z, T ) ) }.
% 48.20/48.65 (82263) {G0,W30,D3,L3,V5,M3} { ! eqangle( X, Z, Y, Z, X, T, Y, U ), coll(
% 48.20/48.65 X, Y, Z ), eqangle( X, Z, Y, Z, X, skol5( X, Y, Z, T ), Y, skol5( X, Y, Z
% 48.20/48.65 , T ) ) }.
% 48.20/48.65 (82264) {G0,W18,D3,L3,V10,M3} { ! midp( U, X, Y ), ! midp( W, Z, T ), midp
% 48.20/48.65 ( skol6( X, V0, V1, T, V2, V3 ), X, T ) }.
% 48.20/48.65 (82265) {G0,W19,D3,L3,V8,M3} { ! midp( U, X, Y ), ! midp( W, Z, T ), para
% 48.20/48.65 ( skol6( X, V0, Z, T, V1, W ), W, X, Z ) }.
% 48.20/48.65 (82266) {G0,W19,D3,L3,V6,M3} { ! midp( U, X, Y ), ! midp( W, Z, T ), para
% 48.20/48.65 ( skol6( X, Y, Z, T, U, W ), U, Y, T ) }.
% 48.20/48.65 (82267) {G0,W22,D3,L5,V7,M5} { ! midp( Z, X, Y ), ! midp( W, T, U ), !
% 48.20/48.65 coll( T, X, Y ), ! coll( U, X, Y ), midp( skol7( X, V0 ), X, V0 ) }.
% 48.20/48.65 (82268) {G0,W26,D3,L5,V8,M5} { ! midp( T, X, U ), ! para( X, W, Z, T ), !
% 48.20/48.65 para( X, W, U, Y ), ! coll( W, Y, Z ), coll( skol8( V0, V1, Z, T ), T, Z
% 48.20/48.65 ) }.
% 48.20/48.65 (82269) {G0,W26,D3,L5,V6,M5} { ! midp( T, X, U ), ! para( X, W, Z, T ), !
% 48.20/48.65 para( X, W, U, Y ), ! coll( W, Y, Z ), coll( skol8( X, Y, Z, T ), X, Y )
% 48.20/48.65 }.
% 48.20/48.65 (82270) {G0,W19,D3,L3,V7,M3} { ! cong( T, Z, T, U ), ! perp( X, Y, Y, T )
% 48.20/48.65 , cong( T, Z, T, skol9( W, V0, Z, T ) ) }.
% 48.20/48.65 (82271) {G0,W19,D3,L3,V6,M3} { ! cong( T, Z, T, U ), ! perp( X, Y, Y, T )
% 48.20/48.65 , cong( Y, Z, Y, skol9( W, Y, Z, T ) ) }.
% 48.20/48.65 (82272) {G0,W19,D3,L3,V5,M3} { ! cong( T, Z, T, U ), ! perp( X, Y, Y, T )
% 48.20/48.65 , para( skol9( X, Y, Z, T ), Z, X, Y ) }.
% 48.20/48.65 (82273) {G0,W17,D3,L3,V5,M3} { ! perp( X, T, Y, Z ), ! perp( Y, T, X, Z )
% 48.20/48.65 , coll( skol10( U, Y, Z ), Z, Y ) }.
% 48.20/48.65 (82274) {G0,W18,D3,L3,V4,M3} { ! perp( X, T, Y, Z ), ! perp( Y, T, X, Z )
% 48.20/48.65 , perp( X, skol10( X, Y, Z ), Z, Y ) }.
% 48.20/48.65 (82275) {G0,W14,D2,L3,V4,M3} { ! perp( X, T, Y, Z ), ! perp( Y, T, X, Z )
% 48.20/48.65 , alpha1( X, Y, Z ) }.
% 48.20/48.65 (82276) {G0,W11,D3,L2,V4,M2} { ! alpha1( X, Y, Z ), coll( skol11( X, T, Z
% 48.20/48.65 ), Z, X ) }.
% 48.20/48.65 (82277) {G0,W12,D3,L2,V3,M2} { ! alpha1( X, Y, Z ), perp( Y, skol11( X, Y
% 48.20/48.65 , Z ), Z, X ) }.
% 48.20/48.65 (82278) {G0,W13,D2,L3,V4,M3} { ! coll( T, Z, X ), ! perp( Y, T, Z, X ),
% 48.20/48.65 alpha1( X, Y, Z ) }.
% 48.20/48.65 (82279) {G0,W12,D3,L2,V4,M2} { ! circle( Y, X, Z, T ), perp( skol12( X, Y
% 48.20/48.65 ), X, X, Y ) }.
% 48.20/48.65 (82280) {G0,W28,D3,L5,V8,M5} { ! circle( W, X, Y, Z ), ! cong( W, X, W, T
% 48.20/48.65 ), ! cong( U, X, U, Y ), W = U, alpha2( X, Z, U, skol13( X, V0, Z, V1, U
% 48.20/48.65 ) ) }.
% 48.20/48.65 (82281) {G0,W26,D3,L5,V8,M5} { ! circle( W, X, Y, Z ), ! cong( W, X, W, T
% 48.20/48.65 ), ! cong( U, X, U, Y ), W = U, coll( skol21( V0, Y, T, V1 ), Y, T ) }.
% 48.20/48.65 (82282) {G0,W27,D3,L5,V6,M5} { ! circle( W, X, Y, Z ), ! cong( W, X, W, T
% 48.20/48.65 ), ! cong( U, X, U, Y ), W = U, cong( skol21( X, Y, T, U ), U, U, X )
% 48.20/48.65 }.
% 48.20/48.65 (82283) {G0,W9,D2,L2,V4,M2} { ! alpha2( X, Y, Z, T ), coll( T, X, Y ) }.
% 48.20/48.65 (82284) {G0,W10,D2,L2,V4,M2} { ! alpha2( X, Y, Z, T ), cong( T, Z, Z, X )
% 48.20/48.65 }.
% 48.20/48.65 (82285) {G0,W14,D2,L3,V4,M3} { ! coll( T, X, Y ), ! cong( T, Z, Z, X ),
% 48.20/48.65 alpha2( X, Y, Z, T ) }.
% 48.20/48.65 (82286) {G0,W22,D3,L4,V5,M4} { ! cyclic( X, Y, Z, T ), ! para( X, Y, Z, T
% 48.20/48.65 ), ! midp( U, X, Y ), circle( skol14( X, Y, Z ), X, Y, Z ) }.
% 48.20/48.65 (82287) {G0,W18,D3,L3,V4,M3} { ! perp( X, Z, Z, Y ), ! cyclic( X, Y, Z, T
% 48.20/48.65 ), circle( skol15( X, Y, Z ), X, Y, Z ) }.
% 48.20/48.65 (82288) {G0,W16,D3,L3,V6,M3} { ! perp( X, U, U, T ), ! coll( T, Y, Z ),
% 48.20/48.65 coll( skol16( W, Y, Z ), Y, Z ) }.
% 48.20/48.65 (82289) {G0,W17,D3,L3,V5,M3} { ! perp( X, U, U, T ), ! coll( T, Y, Z ),
% 48.20/48.65 perp( skol16( X, Y, Z ), X, Y, Z ) }.
% 48.20/48.65 (82290) {G0,W20,D3,L4,V5,M4} { ! perp( X, Z, X, Y ), ! perp( Y, X, Y, T )
% 48.20/48.65 , ! midp( U, Z, T ), midp( skol17( X, Y ), X, Y ) }.
% 48.20/48.65 (82291) {G0,W16,D3,L3,V3,M3} { ! cong( Y, X, Y, Z ), ! perp( X, Y, Y, Z )
% 48.20/48.65 , coll( X, Y, skol18( X, Y ) ) }.
% 48.20/48.65 (82292) {G0,W17,D3,L3,V3,M3} { ! cong( Y, X, Y, Z ), ! perp( X, Y, Y, Z )
% 48.20/48.65 , cong( Y, X, Y, skol18( X, Y ) ) }.
% 48.20/48.65 (82293) {G0,W25,D3,L5,V8,M5} { ! para( U, W, X, Y ), ! coll( Z, U, X ), !
% 48.20/48.65 coll( Z, W, Y ), ! coll( T, U, W ), coll( Z, T, skol19( V0, V1, Z, T ) )
% 48.20/48.65 }.
% 48.20/48.65 (82294) {G0,W25,D3,L5,V6,M5} { ! para( U, W, X, Y ), ! coll( Z, U, X ), !
% 48.20/48.65 coll( Z, W, Y ), ! coll( T, U, W ), coll( skol19( X, Y, Z, T ), X, Y )
% 48.20/48.65 }.
% 48.20/48.65 (82295) {G0,W4,D2,L1,V0,M1} { midp( skol26, skol25, skol22 ) }.
% 48.20/48.65 (82296) {G0,W4,D2,L1,V0,M1} { midp( skol23, skol20, skol25 ) }.
% 48.20/48.65 (82297) {G0,W4,D2,L1,V0,M1} { midp( skol27, skol22, skol20 ) }.
% 48.20/48.65 (82298) {G0,W5,D2,L1,V0,M1} { para( skol25, skol27, skol24, skol26 ) }.
% 48.20/48.65 (82299) {G0,W5,D2,L1,V0,M1} { para( skol25, skol22, skol24, skol27 ) }.
% 48.20/48.65 (82300) {G0,W5,D2,L1,V0,M1} { ! para( skol22, skol23, skol24, skol20 ) }.
% 48.20/48.65
% 48.20/48.65
% 48.20/48.65 Total Proof:
% 48.20/48.65
% 48.20/48.65 subsumption: (0) {G0,W8,D2,L2,V3,M2} I { ! coll( X, Y, Z ), coll( X, Z, Y )
% 48.20/48.65 }.
% 48.20/48.65 parent0: (82178) {G0,W8,D2,L2,V3,M2} { ! coll( X, Y, Z ), coll( X, Z, Y )
% 48.20/48.65 }.
% 48.20/48.65 substitution0:
% 48.20/48.65 X := X
% 48.20/48.65 Y := Y
% 48.20/48.65 Z := Z
% 48.20/48.65 end
% 48.20/48.65 permutation0:
% 48.20/48.65 0 ==> 0
% 48.20/48.65 1 ==> 1
% 48.20/48.65 end
% 48.20/48.65
% 48.20/48.65 subsumption: (1) {G0,W8,D2,L2,V3,M2} I { ! coll( X, Y, Z ), coll( Y, X, Z )
% 48.20/48.65 }.
% 48.20/48.65 parent0: (82179) {G0,W8,D2,L2,V3,M2} { ! coll( X, Y, Z ), coll( Y, X, Z )
% 48.20/48.65 }.
% 48.20/48.65 substitution0:
% 48.20/48.65 X := X
% 48.20/48.65 Y := Y
% 48.20/48.65 Z := Z
% 48.20/48.65 end
% 48.20/48.65 permutation0:
% 48.20/48.65 0 ==> 0
% 48.20/48.65 1 ==> 1
% 48.20/48.65 end
% 48.20/48.65
% 48.20/48.65 subsumption: (2) {G0,W12,D2,L3,V4,M3} I { ! coll( X, T, Y ), ! coll( X, T,
% 48.20/48.65 Z ), coll( Y, Z, X ) }.
% 48.20/48.65 parent0: (82180) {G0,W12,D2,L3,V4,M3} { ! coll( X, T, Y ), ! coll( X, T, Z
% 48.20/48.65 ), coll( Y, Z, X ) }.
% 48.20/48.65 substitution0:
% 48.20/48.65 X := X
% 48.20/48.65 Y := Y
% 48.20/48.65 Z := Z
% 48.20/48.65 T := T
% 48.20/48.65 end
% 48.20/48.65 permutation0:
% 48.20/48.65 0 ==> 0
% 48.20/48.65 1 ==> 1
% 48.20/48.65 2 ==> 2
% 48.20/48.65 end
% 48.20/48.65
% 48.20/48.65 subsumption: (3) {G0,W10,D2,L2,V4,M2} I { ! para( X, Y, Z, T ), para( X, Y
% 48.20/48.65 , T, Z ) }.
% 48.20/48.65 parent0: (82181) {G0,W10,D2,L2,V4,M2} { ! para( X, Y, Z, T ), para( X, Y,
% 48.20/48.65 T, Z ) }.
% 48.20/48.65 substitution0:
% 48.20/48.65 X := X
% 48.20/48.65 Y := Y
% 48.20/48.65 Z := Z
% 48.20/48.65 T := T
% 48.20/48.65 end
% 48.20/48.65 permutation0:
% 48.20/48.65 0 ==> 0
% 48.20/48.65 1 ==> 1
% 48.20/48.65 end
% 48.20/48.65
% 48.20/48.65 subsumption: (4) {G0,W10,D2,L2,V4,M2} I { ! para( X, Y, Z, T ), para( Z, T
% 48.20/48.65 , X, Y ) }.
% 48.20/48.65 parent0: (82182) {G0,W10,D2,L2,V4,M2} { ! para( X, Y, Z, T ), para( Z, T,
% 48.20/48.65 X, Y ) }.
% 48.20/48.65 substitution0:
% 48.20/48.65 X := X
% 48.20/48.65 Y := Y
% 48.20/48.65 Z := Z
% 48.20/48.65 T := T
% 48.20/48.65 end
% 48.20/48.65 permutation0:
% 48.20/48.65 0 ==> 0
% 48.20/48.65 1 ==> 1
% 48.20/48.65 end
% 48.20/48.65
% 48.20/48.65 subsumption: (5) {G0,W15,D2,L3,V6,M3} I { ! para( X, Y, U, W ), ! para( U,
% 48.20/48.65 W, Z, T ), para( X, Y, Z, T ) }.
% 48.20/48.65 parent0: (82183) {G0,W15,D2,L3,V6,M3} { ! para( X, Y, U, W ), ! para( U, W
% 48.20/48.65 , Z, T ), para( X, Y, Z, T ) }.
% 48.20/48.65 substitution0:
% 48.20/48.65 X := X
% 48.20/48.65 Y := Y
% 48.20/48.65 Z := Z
% 48.20/48.65 T := T
% 48.20/48.65 U := U
% 48.20/48.65 W := W
% 48.20/48.65 end
% 48.20/48.65 permutation0:
% 48.20/48.65 0 ==> 0
% 48.20/48.65 1 ==> 1
% 48.20/48.65 2 ==> 2
% 48.20/48.65 end
% 48.20/48.65
% 48.20/48.65 subsumption: (6) {G0,W10,D2,L2,V4,M2} I { ! perp( X, Y, Z, T ), perp( X, Y
% 48.20/48.65 , T, Z ) }.
% 48.20/48.65 parent0: (82184) {G0,W10,D2,L2,V4,M2} { ! perp( X, Y, Z, T ), perp( X, Y,
% 48.20/48.65 T, Z ) }.
% 48.20/48.65 substitution0:
% 48.20/48.65 X := X
% 48.20/48.65 Y := Y
% 48.20/48.65 Z := Z
% 48.20/48.65 T := T
% 48.20/48.65 end
% 48.20/48.65 permutation0:
% 48.20/48.65 0 ==> 0
% 48.20/48.65 1 ==> 1
% 48.20/48.65 end
% 48.20/48.65
% 48.20/48.65 subsumption: (7) {G0,W10,D2,L2,V4,M2} I { ! perp( X, Y, Z, T ), perp( Z, T
% 48.20/48.65 , X, Y ) }.
% 48.20/48.65 parent0: (82185) {G0,W10,D2,L2,V4,M2} { ! perp( X, Y, Z, T ), perp( Z, T,
% 48.20/48.65 X, Y ) }.
% 48.20/48.65 substitution0:
% 48.20/48.65 X := X
% 48.20/48.65 Y := Y
% 48.20/48.65 Z := Z
% 48.20/48.65 T := T
% 48.20/48.65 end
% 48.20/48.65 permutation0:
% 48.20/48.65 0 ==> 0
% 48.20/48.65 1 ==> 1
% 48.20/48.65 end
% 48.20/48.65
% 48.20/48.65 subsumption: (8) {G0,W15,D2,L3,V6,M3} I { ! perp( X, Y, U, W ), ! perp( U,
% 48.20/48.65 W, Z, T ), para( X, Y, Z, T ) }.
% 48.20/48.65 parent0: (82186) {G0,W15,D2,L3,V6,M3} { ! perp( X, Y, U, W ), ! perp( U, W
% 48.20/48.65 , Z, T ), para( X, Y, Z, T ) }.
% 48.20/48.65 substitution0:
% 48.20/48.65 X := X
% 48.20/48.65 Y := Y
% 48.20/48.65 Z := Z
% 48.20/48.65 T := T
% 48.20/48.65 U := U
% 48.20/48.65 W := W
% 48.20/48.65 end
% 48.20/48.65 permutation0:
% 48.20/48.65 0 ==> 0
% 48.20/48.65 1 ==> 1
% 48.20/48.65 2 ==> 2
% 48.20/48.65 end
% 48.20/48.65
% 48.20/48.65 subsumption: (9) {G0,W15,D2,L3,V6,M3} I { ! para( X, Y, U, W ), ! perp( U,
% 48.20/48.65 W, Z, T ), perp( X, Y, Z, T ) }.
% 48.20/48.65 parent0: (82187) {G0,W15,D2,L3,V6,M3} { ! para( X, Y, U, W ), ! perp( U, W
% 48.20/48.65 , Z, T ), perp( X, Y, Z, T ) }.
% 48.20/48.65 substitution0:
% 48.20/48.65 X := X
% 48.20/48.65 Y := Y
% 48.20/48.65 Z := Z
% 48.20/48.65 T := T
% 48.20/48.65 U := U
% 48.20/48.65 W := W
% 48.20/48.65 end
% 48.20/48.65 permutation0:
% 48.20/48.65 0 ==> 0
% 48.20/48.65 1 ==> 1
% 48.20/48.65 2 ==> 2
% 48.20/48.65 end
% 48.20/48.65
% 48.20/48.65 subsumption: (10) {G0,W8,D2,L2,V3,M2} I { ! midp( Z, Y, X ), midp( Z, X, Y
% 48.20/48.65 ) }.
% 48.20/48.65 parent0: (82188) {G0,W8,D2,L2,V3,M2} { ! midp( Z, Y, X ), midp( Z, X, Y )
% 48.20/48.65 }.
% 48.20/48.65 substitution0:
% 48.20/48.65 X := X
% 48.20/48.65 Y := Y
% 48.20/48.65 Z := Z
% 48.20/48.65 end
% 48.20/48.65 permutation0:
% 48.20/48.65 0 ==> 0
% 48.20/48.65 1 ==> 1
% 48.20/48.65 end
% 48.20/48.65
% 48.20/48.65 subsumption: (11) {G0,W15,D2,L3,V4,M3} I { ! cong( T, X, T, Y ), ! cong( T
% 48.20/48.65 , X, T, Z ), circle( T, X, Y, Z ) }.
% 48.20/48.65 parent0: (82189) {G0,W15,D2,L3,V4,M3} { ! cong( T, X, T, Y ), ! cong( T, X
% 48.20/48.65 , T, Z ), circle( T, X, Y, Z ) }.
% 48.20/48.65 substitution0:
% 48.20/48.65 X := X
% 48.20/48.65 Y := Y
% 48.20/48.65 Z := Z
% 48.20/48.65 T := T
% 48.20/48.65 end
% 48.20/48.65 permutation0:
% 48.20/48.65 0 ==> 0
% 48.20/48.65 1 ==> 1
% 48.20/48.65 2 ==> 2
% 48.20/48.65 end
% 48.20/48.65
% 48.20/48.65 subsumption: (12) {G0,W20,D2,L4,V5,M4} I { ! cong( U, X, U, Y ), ! cong( U
% 48.20/48.65 , X, U, Z ), ! cong( U, X, U, T ), cyclic( X, Y, Z, T ) }.
% 48.20/48.65 parent0: (82190) {G0,W20,D2,L4,V5,M4} { ! cong( U, X, U, Y ), ! cong( U, X
% 48.20/48.65 , U, Z ), ! cong( U, X, U, T ), cyclic( X, Y, Z, T ) }.
% 48.20/48.65 substitution0:
% 48.20/48.65 X := X
% 48.20/48.65 Y := Y
% 48.20/48.65 Z := Z
% 48.20/48.65 T := T
% 48.20/48.65 U := U
% 48.20/48.65 end
% 48.20/48.65 permutation0:
% 48.20/48.65 0 ==> 0
% 48.20/48.65 1 ==> 1
% 48.20/48.65 2 ==> 2
% 48.20/48.65 3 ==> 3
% 48.20/48.65 end
% 48.20/48.65
% 48.20/48.65 subsumption: (13) {G0,W10,D2,L2,V4,M2} I { ! cyclic( X, Y, Z, T ), cyclic(
% 48.20/48.65 X, Y, T, Z ) }.
% 48.20/48.65 parent0: (82191) {G0,W10,D2,L2,V4,M2} { ! cyclic( X, Y, Z, T ), cyclic( X
% 48.20/48.65 , Y, T, Z ) }.
% 48.20/48.65 substitution0:
% 48.20/48.65 X := X
% 48.20/48.65 Y := Y
% 48.20/48.65 Z := Z
% 48.20/48.65 T := T
% 48.20/48.65 end
% 48.20/48.65 permutation0:
% 48.20/48.65 0 ==> 0
% 48.20/48.65 1 ==> 1
% 48.20/48.65 end
% 48.20/48.65
% 48.20/48.65 subsumption: (14) {G0,W10,D2,L2,V4,M2} I { ! cyclic( X, Y, Z, T ), cyclic(
% 48.20/48.65 X, Z, Y, T ) }.
% 48.20/48.65 parent0: (82192) {G0,W10,D2,L2,V4,M2} { ! cyclic( X, Y, Z, T ), cyclic( X
% 48.20/48.65 , Z, Y, T ) }.
% 48.20/48.65 substitution0:
% 48.20/48.65 X := X
% 48.20/48.65 Y := Y
% 48.20/48.65 Z := Z
% 48.20/48.65 T := T
% 48.20/48.65 end
% 48.20/48.65 permutation0:
% 48.20/48.65 0 ==> 0
% 48.20/48.65 1 ==> 1
% 48.20/48.65 end
% 48.20/48.65
% 48.20/48.65 subsumption: (15) {G0,W10,D2,L2,V4,M2} I { ! cyclic( X, Y, Z, T ), cyclic(
% 48.20/48.65 Y, X, Z, T ) }.
% 48.20/48.65 parent0: (82193) {G0,W10,D2,L2,V4,M2} { ! cyclic( X, Y, Z, T ), cyclic( Y
% 48.20/48.65 , X, Z, T ) }.
% 48.20/48.65 substitution0:
% 48.20/48.65 X := X
% 48.20/48.65 Y := Y
% 48.20/48.65 Z := Z
% 48.20/48.65 T := T
% 48.20/48.65 end
% 48.20/48.65 permutation0:
% 48.20/48.65 0 ==> 0
% 48.20/48.65 1 ==> 1
% 48.20/48.65 end
% 48.20/48.65
% 48.20/48.65 subsumption: (16) {G0,W15,D2,L3,V5,M3} I { ! cyclic( U, X, Y, Z ), ! cyclic
% 48.20/48.65 ( U, X, Y, T ), cyclic( X, Y, Z, T ) }.
% 48.20/48.65 parent0: (82194) {G0,W15,D2,L3,V5,M3} { ! cyclic( U, X, Y, Z ), ! cyclic(
% 48.20/48.65 U, X, Y, T ), cyclic( X, Y, Z, T ) }.
% 48.20/48.65 substitution0:
% 48.20/48.65 X := X
% 48.20/48.65 Y := Y
% 48.20/48.65 Z := Z
% 48.20/48.65 T := T
% 48.20/48.65 U := U
% 48.20/48.65 end
% 48.20/48.65 permutation0:
% 48.20/48.65 0 ==> 0
% 48.20/48.65 1 ==> 1
% 48.20/48.65 2 ==> 2
% 48.20/48.65 end
% 48.20/48.65
% 48.20/48.65 subsumption: (22) {G0,W10,D2,L2,V4,M2} I { ! cong( X, Y, Z, T ), cong( X, Y
% 48.20/48.65 , T, Z ) }.
% 48.20/48.65 parent0: (82200) {G0,W10,D2,L2,V4,M2} { ! cong( X, Y, Z, T ), cong( X, Y,
% 48.20/48.65 T, Z ) }.
% 48.20/48.65 substitution0:
% 48.20/48.65 X := X
% 48.20/48.65 Y := Y
% 48.20/48.65 Z := Z
% 48.20/48.65 T := T
% 48.20/48.65 end
% 48.20/48.65 permutation0:
% 48.20/48.65 0 ==> 0
% 48.20/48.65 1 ==> 1
% 48.20/48.65 end
% 48.20/48.65
% 48.20/48.65 subsumption: (23) {G0,W10,D2,L2,V4,M2} I { ! cong( X, Y, Z, T ), cong( Z, T
% 48.20/48.65 , X, Y ) }.
% 48.20/48.65 parent0: (82201) {G0,W10,D2,L2,V4,M2} { ! cong( X, Y, Z, T ), cong( Z, T,
% 48.20/48.65 X, Y ) }.
% 48.20/48.65 substitution0:
% 48.20/48.65 X := X
% 48.20/48.65 Y := Y
% 48.20/48.65 Z := Z
% 48.20/48.65 T := T
% 48.20/48.65 end
% 48.20/48.65 permutation0:
% 48.20/48.65 0 ==> 0
% 48.20/48.65 1 ==> 1
% 48.20/48.65 end
% 48.20/48.65
% 48.20/48.65 subsumption: (24) {G0,W15,D2,L3,V6,M3} I { ! cong( X, Y, U, W ), ! cong( U
% 48.20/48.65 , W, Z, T ), cong( X, Y, Z, T ) }.
% 48.20/48.65 parent0: (82202) {G0,W15,D2,L3,V6,M3} { ! cong( X, Y, U, W ), ! cong( U, W
% 48.20/48.65 , Z, T ), cong( X, Y, Z, T ) }.
% 48.20/48.65 substitution0:
% 48.20/48.65 X := X
% 48.20/48.65 Y := Y
% 48.20/48.65 Z := Z
% 48.20/48.65 T := T
% 48.20/48.65 U := U
% 48.20/48.65 W := W
% 48.20/48.65 end
% 48.20/48.65 permutation0:
% 48.20/48.65 0 ==> 0
% 48.20/48.65 1 ==> 1
% 48.20/48.65 2 ==> 2
% 48.20/48.65 end
% 48.20/48.65
% 48.20/48.65 subsumption: (40) {G0,W14,D2,L2,V4,M2} I { ! cyclic( X, Y, Z, T ), eqangle
% 48.20/48.65 ( Z, X, Z, Y, T, X, T, Y ) }.
% 48.20/48.65 parent0: (82218) {G0,W14,D2,L2,V4,M2} { ! cyclic( X, Y, Z, T ), eqangle( Z
% 48.20/48.65 , X, Z, Y, T, X, T, Y ) }.
% 48.20/48.65 substitution0:
% 48.20/48.65 X := X
% 48.20/48.65 Y := Y
% 48.20/48.65 Z := Z
% 48.20/48.65 T := T
% 48.20/48.65 end
% 48.20/48.65 permutation0:
% 48.20/48.65 0 ==> 0
% 48.20/48.65 1 ==> 1
% 48.20/48.65 end
% 48.20/48.65
% 48.20/48.65 subsumption: (43) {G0,W29,D2,L5,V6,M5} I { ! cyclic( X, Y, U, Z ), ! cyclic
% 48.20/48.65 ( X, Y, U, T ), ! cyclic( X, Y, U, W ), ! eqangle( U, X, U, Y, W, Z, W, T
% 48.20/48.65 ), cong( X, Y, Z, T ) }.
% 48.20/48.65 parent0: (82221) {G0,W29,D2,L5,V6,M5} { ! cyclic( X, Y, U, Z ), ! cyclic(
% 48.20/48.65 X, Y, U, T ), ! cyclic( X, Y, U, W ), ! eqangle( U, X, U, Y, W, Z, W, T )
% 48.20/48.65 , cong( X, Y, Z, T ) }.
% 48.20/48.65 substitution0:
% 48.20/48.65 X := X
% 48.20/48.65 Y := Y
% 48.20/48.65 Z := Z
% 48.20/48.65 T := T
% 48.20/48.65 U := U
% 48.20/48.65 W := W
% 48.20/48.65 end
% 48.20/48.65 permutation0:
% 48.20/48.65 0 ==> 0
% 48.20/48.65 1 ==> 1
% 48.20/48.65 2 ==> 2
% 48.20/48.65 3 ==> 3
% 48.20/48.65 4 ==> 4
% 48.20/48.65 end
% 48.20/48.65
% 48.20/48.65 subsumption: (44) {G0,W13,D2,L3,V5,M3} I { ! midp( Z, U, X ), ! midp( T, U
% 48.20/48.65 , Y ), para( Z, T, X, Y ) }.
% 48.20/48.65 parent0: (82222) {G0,W13,D2,L3,V5,M3} { ! midp( Z, U, X ), ! midp( T, U, Y
% 48.20/48.65 ), para( Z, T, X, Y ) }.
% 48.20/48.65 substitution0:
% 48.20/48.65 X := X
% 48.20/48.65 Y := Y
% 48.20/48.65 Z := Z
% 48.20/48.65 T := T
% 48.20/48.65 U := U
% 48.20/48.65 end
% 48.20/48.65 permutation0:
% 48.20/48.65 0 ==> 0
% 48.20/48.65 1 ==> 1
% 48.20/48.65 2 ==> 2
% 48.20/48.65 end
% 48.20/48.65
% 48.20/48.65 subsumption: (45) {G0,W17,D2,L4,V5,M4} I { ! midp( U, X, T ), ! para( U, Z
% 48.20/48.65 , T, Y ), ! coll( Z, X, Y ), midp( Z, X, Y ) }.
% 48.20/48.65 parent0: (82223) {G0,W17,D2,L4,V5,M4} { ! midp( U, X, T ), ! para( U, Z, T
% 48.20/48.65 , Y ), ! coll( Z, X, Y ), midp( Z, X, Y ) }.
% 48.20/48.65 substitution0:
% 48.20/48.65 X := X
% 48.20/48.65 Y := Y
% 48.20/48.65 Z := Z
% 48.20/48.65 T := T
% 48.20/48.65 U := U
% 48.20/48.65 end
% 48.20/48.65 permutation0:
% 48.20/48.65 0 ==> 0
% 48.20/48.65 1 ==> 1
% 48.20/48.65 2 ==> 2
% 48.20/48.65 3 ==> 3
% 48.20/48.65 end
% 48.20/48.65
% 48.20/48.65 subsumption: (49) {G0,W19,D2,L3,V5,M3} I { ! circle( Y, X, T, U ), !
% 48.20/48.65 eqangle( X, Z, X, T, U, X, U, T ), perp( Y, X, X, Z ) }.
% 48.20/48.65 parent0: (82227) {G0,W19,D2,L3,V5,M3} { ! circle( Y, X, T, U ), ! eqangle
% 48.20/48.65 ( X, Z, X, T, U, X, U, T ), perp( Y, X, X, Z ) }.
% 48.20/48.65 substitution0:
% 48.20/48.65 X := X
% 48.20/48.65 Y := Y
% 48.20/48.65 Z := Z
% 48.20/48.65 T := T
% 48.20/48.65 U := U
% 48.20/48.65 end
% 48.20/48.65 permutation0:
% 48.20/48.65 0 ==> 0
% 48.20/48.65 1 ==> 1
% 48.20/48.65 2 ==> 2
% 48.20/48.65 end
% 48.20/48.65
% 48.20/48.65 subsumption: (56) {G0,W15,D2,L3,V4,M3} I { ! cong( X, Z, Y, Z ), ! cong( X
% 48.20/48.65 , T, Y, T ), perp( X, Y, Z, T ) }.
% 48.20/48.65 parent0: (82234) {G0,W15,D2,L3,V4,M3} { ! cong( X, Z, Y, Z ), ! cong( X, T
% 48.20/48.65 , Y, T ), perp( X, Y, Z, T ) }.
% 48.20/48.65 substitution0:
% 48.20/48.65 X := X
% 48.20/48.65 Y := Y
% 48.20/48.65 Z := Z
% 48.20/48.65 T := T
% 48.20/48.65 end
% 48.20/48.65 permutation0:
% 48.20/48.65 0 ==> 0
% 48.20/48.65 1 ==> 1
% 48.20/48.65 2 ==> 2
% 48.20/48.65 end
% 48.20/48.65
% 48.20/48.65 subsumption: (57) {G0,W20,D2,L4,V4,M4} I { ! cong( X, Y, T, Y ), ! cong( X
% 48.20/48.65 , Z, T, Z ), ! cyclic( X, T, Y, Z ), perp( Y, X, X, Z ) }.
% 48.20/48.65 parent0: (82235) {G0,W20,D2,L4,V4,M4} { ! cong( X, Y, T, Y ), ! cong( X, Z
% 48.20/48.65 , T, Z ), ! cyclic( X, T, Y, Z ), perp( Y, X, X, Z ) }.
% 48.20/48.65 substitution0:
% 48.20/48.65 X := X
% 48.20/48.65 Y := Y
% 48.20/48.65 Z := Z
% 48.20/48.65 T := T
% 48.20/48.65 end
% 48.20/48.65 permutation0:
% 48.20/48.65 0 ==> 0
% 48.20/48.65 1 ==> 1
% 48.20/48.65 2 ==> 2
% 48.20/48.65 3 ==> 3
% 48.20/48.65 end
% 48.20/48.65
% 48.20/48.65 subsumption: (63) {G0,W13,D2,L3,V5,M3} I { ! midp( U, X, Y ), ! midp( U, Z
% 48.20/48.65 , T ), para( X, Z, Y, T ) }.
% 48.20/48.65 parent0: (82241) {G0,W13,D2,L3,V5,M3} { ! midp( U, X, Y ), ! midp( U, Z, T
% 48.20/48.65 ), para( X, Z, Y, T ) }.
% 48.20/48.65 substitution0:
% 48.20/48.65 X := X
% 48.20/48.65 Y := Y
% 48.20/48.65 Z := Z
% 48.20/48.65 T := T
% 48.20/48.65 U := U
% 48.20/48.65 end
% 48.20/48.65 permutation0:
% 48.20/48.65 0 ==> 0
% 48.20/48.65 1 ==> 1
% 48.20/48.65 2 ==> 2
% 48.20/48.65 end
% 48.20/48.65
% 48.20/48.65 subsumption: (64) {G0,W18,D2,L4,V5,M4} I { ! midp( Z, T, U ), ! para( T, X
% 48.20/48.65 , U, Y ), ! para( T, Y, U, X ), midp( Z, X, Y ) }.
% 48.20/48.65 parent0: (82242) {G0,W18,D2,L4,V5,M4} { ! midp( Z, T, U ), ! para( T, X, U
% 48.20/48.65 , Y ), ! para( T, Y, U, X ), midp( Z, X, Y ) }.
% 48.20/48.65 substitution0:
% 48.20/48.65 X := X
% 48.20/48.65 Y := Y
% 48.20/48.65 Z := Z
% 48.20/48.65 T := T
% 48.20/48.65 U := U
% 48.20/48.65 end
% 48.20/48.65 permutation0:
% 48.20/48.65 0 ==> 0
% 48.20/48.65 1 ==> 1
% 48.20/48.65 2 ==> 2
% 48.20/48.65 3 ==> 3
% 48.20/48.65 end
% 48.20/48.65
% 48.20/48.65 subsumption: (68) {G0,W9,D2,L2,V3,M2} I { ! midp( X, Y, Z ), cong( X, Y, X
% 48.20/48.65 , Z ) }.
% 48.20/48.65 parent0: (82246) {G0,W9,D2,L2,V3,M2} { ! midp( X, Y, Z ), cong( X, Y, X, Z
% 48.20/48.65 ) }.
% 48.20/48.65 substitution0:
% 48.20/48.65 X := X
% 48.20/48.65 Y := Y
% 48.20/48.65 Z := Z
% 48.20/48.65 end
% 48.20/48.65 permutation0:
% 48.20/48.65 0 ==> 0
% 48.20/48.65 1 ==> 1
% 48.20/48.65 end
% 48.20/48.65
% 48.20/48.65 subsumption: (69) {G0,W8,D2,L2,V3,M2} I { ! midp( X, Y, Z ), coll( X, Y, Z
% 48.20/48.65 ) }.
% 48.20/48.65 parent0: (82247) {G0,W8,D2,L2,V3,M2} { ! midp( X, Y, Z ), coll( X, Y, Z )
% 48.20/48.65 }.
% 48.20/48.65 substitution0:
% 48.20/48.65 X := X
% 48.20/48.65 Y := Y
% 48.20/48.65 Z := Z
% 48.20/48.65 end
% 48.20/48.65 permutation0:
% 48.20/48.65 0 ==> 0
% 48.20/48.65 1 ==> 1
% 48.20/48.65 end
% 48.20/48.65
% 48.20/48.65 subsumption: (88) {G0,W22,D3,L5,V7,M5} I { ! midp( Z, X, Y ), ! midp( W, T
% 48.20/48.65 , U ), ! coll( T, X, Y ), ! coll( U, X, Y ), midp( skol7( X, V0 ), X, V0
% 48.20/48.65 ) }.
% 48.20/48.65 parent0: (82267) {G0,W22,D3,L5,V7,M5} { ! midp( Z, X, Y ), ! midp( W, T, U
% 48.20/48.65 ), ! coll( T, X, Y ), ! coll( U, X, Y ), midp( skol7( X, V0 ), X, V0 )
% 48.20/48.65 }.
% 48.20/48.65 substitution0:
% 48.20/48.65 X := X
% 48.20/48.65 Y := Y
% 48.20/48.65 Z := Z
% 48.20/48.65 T := T
% 48.20/48.65 U := U
% 48.20/48.65 W := W
% 48.20/48.65 V0 := V0
% 48.20/48.65 end
% 48.20/48.65 permutation0:
% 48.20/48.65 0 ==> 0
% 48.20/48.65 1 ==> 1
% 48.20/48.65 2 ==> 2
% 48.20/48.65 3 ==> 3
% 48.20/48.65 4 ==> 4
% 48.20/48.65 end
% 48.20/48.65
% 48.20/48.65 subsumption: (116) {G0,W4,D2,L1,V0,M1} I { midp( skol26, skol25, skol22 )
% 48.20/48.65 }.
% 48.20/48.65 parent0: (82295) {G0,W4,D2,L1,V0,M1} { midp( skol26, skol25, skol22 ) }.
% 48.20/48.65 substitution0:
% 48.20/48.65 end
% 48.20/48.65 permutation0:
% 48.20/48.65 0 ==> 0
% 48.20/48.65 end
% 48.20/48.65
% 48.20/48.65 subsumption: (117) {G0,W4,D2,L1,V0,M1} I { midp( skol23, skol20, skol25 )
% 48.20/48.65 }.
% 48.20/48.65 parent0: (82296) {G0,W4,D2,L1,V0,M1} { midp( skol23, skol20, skol25 ) }.
% 48.20/48.65 substitution0:
% 48.20/48.65 end
% 48.20/48.65 permutation0:
% 48.20/48.65 0 ==> 0
% 48.20/48.65 end
% 48.20/48.65
% 48.20/48.65 subsumption: (118) {G0,W4,D2,L1,V0,M1} I { midp( skol27, skol22, skol20 )
% 48.20/48.65 }.
% 48.20/48.65 parent0: (82297) {G0,W4,D2,L1,V0,M1} { midp( skol27, skol22, skol20 ) }.
% 48.20/48.65 substitution0:
% 48.20/48.65 end
% 48.20/48.65 permutation0:
% 48.20/48.65 0 ==> 0
% 48.20/48.65 end
% 48.20/48.65
% 48.20/48.65 subsumption: (119) {G0,W5,D2,L1,V0,M1} I { para( skol25, skol27, skol24,
% 48.20/48.65 skol26 ) }.
% 48.20/48.65 parent0: (82298) {G0,W5,D2,L1,V0,M1} { para( skol25, skol27, skol24,
% 48.20/48.65 skol26 ) }.
% 48.20/48.65 substitution0:
% 48.20/48.65 end
% 48.20/48.65 permutation0:
% 48.20/48.65 0 ==> 0
% 48.20/48.65 end
% 48.20/48.65
% 48.20/48.65 subsumption: (120) {G0,W5,D2,L1,V0,M1} I { para( skol25, skol22, skol24,
% 48.20/48.65 skol27 ) }.
% 48.20/48.65 parent0: (82299) {G0,W5,D2,L1,V0,M1} { para( skol25, skol22, skol24,
% 48.20/48.65 skol27 ) }.
% 48.20/48.65 substitution0:
% 48.20/48.65 end
% 48.20/48.65 permutation0:
% 48.20/48.65 0 ==> 0
% 48.20/48.65 end
% 48.20/48.65
% 48.20/48.65 subsumption: (121) {G0,W5,D2,L1,V0,M1} I { ! para( skol22, skol23, skol24,
% 48.20/48.65 skol20 ) }.
% 48.20/48.65 parent0: (82300) {G0,W5,D2,L1,V0,M1} { ! para( skol22, skol23, skol24,
% 48.20/48.65 skol20 ) }.
% 48.20/48.65 substitution0:
% 48.20/48.65 end
% 48.20/48.65 permutation0:
% 48.20/48.65 0 ==> 0
% 48.20/48.65 end
% 48.20/48.65
% 48.20/48.65 factor: (82966) {G0,W10,D2,L2,V3,M2} { ! cong( X, Y, X, Z ), circle( X, Y
% 48.20/48.65 , Z, Z ) }.
% 48.20/48.65 parent0[0, 1]: (11) {G0,W15,D2,L3,V4,M3} I { ! cong( T, X, T, Y ), ! cong(
% 48.20/48.65 T, X, T, Z ), circle( T, X, Y, Z ) }.
% 48.20/48.65 substitution0:
% 48.20/48.65 X := Y
% 48.20/48.65 Y := Z
% 48.20/48.65 Z := Z
% 48.20/48.65 T := X
% 48.20/48.65 end
% 48.20/48.65
% 48.20/48.65 subsumption: (124) {G1,W10,D2,L2,V3,M2} F(11) { ! cong( X, Y, X, Z ),
% 48.20/48.65 circle( X, Y, Z, Z ) }.
% 48.20/48.65 parent0: (82966) {G0,W10,D2,L2,V3,M2} { ! cong( X, Y, X, Z ), circle( X, Y
% 48.20/48.65 , Z, Z ) }.
% 48.20/48.65 substitution0:
% 48.20/48.65 X := X
% 48.20/48.65 Y := Y
% 48.20/48.65 Z := Z
% 48.20/48.65 end
% 48.20/48.65 permutation0:
% 48.20/48.65 0 ==> 0
% 48.20/48.65 1 ==> 1
% 48.20/48.65 end
% 48.20/48.65
% 48.20/48.65 factor: (82969) {G0,W15,D2,L3,V4,M3} { ! cong( X, Y, X, Z ), ! cong( X, Y
% 48.20/48.65 , X, T ), cyclic( Y, Z, T, T ) }.
% 48.20/48.65 parent0[1, 2]: (12) {G0,W20,D2,L4,V5,M4} I { ! cong( U, X, U, Y ), ! cong(
% 48.20/48.65 U, X, U, Z ), ! cong( U, X, U, T ), cyclic( X, Y, Z, T ) }.
% 48.20/48.65 substitution0:
% 48.20/48.65 X := Y
% 48.20/48.65 Y := Z
% 48.20/48.65 Z := T
% 48.20/48.65 T := T
% 48.20/48.65 U := X
% 48.20/48.65 end
% 48.20/48.65
% 48.20/48.65 subsumption: (127) {G1,W15,D2,L3,V4,M3} F(12) { ! cong( X, Y, X, Z ), !
% 48.20/48.65 cong( X, Y, X, T ), cyclic( Y, Z, T, T ) }.
% 48.20/48.65 parent0: (82969) {G0,W15,D2,L3,V4,M3} { ! cong( X, Y, X, Z ), ! cong( X, Y
% 48.20/48.65 , X, T ), cyclic( Y, Z, T, T ) }.
% 48.20/48.65 substitution0:
% 48.20/48.65 X := X
% 48.20/48.65 Y := Y
% 48.20/48.65 Z := Z
% 48.20/48.65 T := T
% 48.20/48.65 end
% 48.20/48.65 permutation0:
% 48.20/48.65 0 ==> 0
% 48.20/48.65 1 ==> 1
% 48.20/48.65 2 ==> 2
% 48.20/48.65 end
% 48.20/48.65
% 48.20/48.65 factor: (82971) {G1,W10,D2,L2,V3,M2} { ! cong( X, Y, X, Z ), cyclic( Y, Z
% 48.20/48.65 , Z, Z ) }.
% 48.20/48.65 parent0[0, 1]: (127) {G1,W15,D2,L3,V4,M3} F(12) { ! cong( X, Y, X, Z ), !
% 48.20/48.65 cong( X, Y, X, T ), cyclic( Y, Z, T, T ) }.
% 48.20/48.65 substitution0:
% 48.20/48.65 X := X
% 48.20/48.65 Y := Y
% 48.20/48.65 Z := Z
% 48.20/48.65 T := Z
% 48.20/48.65 end
% 48.20/48.65
% 48.20/48.65 subsumption: (128) {G2,W10,D2,L2,V3,M2} F(127) { ! cong( X, Y, X, Z ),
% 48.20/48.65 cyclic( Y, Z, Z, Z ) }.
% 48.20/48.65 parent0: (82971) {G1,W10,D2,L2,V3,M2} { ! cong( X, Y, X, Z ), cyclic( Y, Z
% 48.20/48.65 , Z, Z ) }.
% 48.20/48.65 substitution0:
% 48.20/48.65 X := X
% 48.20/48.65 Y := Y
% 48.20/48.65 Z := Z
% 48.20/48.65 end
% 48.20/48.65 permutation0:
% 48.20/48.65 0 ==> 0
% 48.20/48.65 1 ==> 1
% 48.20/48.65 end
% 48.20/48.65
% 48.20/48.65 factor: (82972) {G0,W10,D2,L2,V4,M2} { ! cyclic( X, Y, Z, T ), cyclic( Y,
% 48.20/48.65 Z, T, T ) }.
% 48.20/48.65 parent0[0, 1]: (16) {G0,W15,D2,L3,V5,M3} I { ! cyclic( U, X, Y, Z ), !
% 48.20/48.65 cyclic( U, X, Y, T ), cyclic( X, Y, Z, T ) }.
% 48.20/48.65 substitution0:
% 48.20/48.65 X := Y
% 48.20/48.65 Y := Z
% 48.20/48.65 Z := T
% 48.20/48.65 T := T
% 48.20/48.65 U := X
% 48.20/48.65 end
% 48.20/48.65
% 48.20/48.65 subsumption: (129) {G1,W10,D2,L2,V4,M2} F(16) { ! cyclic( X, Y, Z, T ),
% 48.20/48.65 cyclic( Y, Z, T, T ) }.
% 48.20/48.65 parent0: (82972) {G0,W10,D2,L2,V4,M2} { ! cyclic( X, Y, Z, T ), cyclic( Y
% 48.20/48.65 , Z, T, T ) }.
% 48.20/48.65 substitution0:
% 48.20/48.65 X := X
% 48.20/48.65 Y := Y
% 48.20/48.65 Z := Z
% 48.20/48.65 T := T
% 48.20/48.65 end
% 48.20/48.65 permutation0:
% 48.20/48.65 0 ==> 0
% 48.20/48.65 1 ==> 1
% 48.20/48.65 end
% 48.20/48.65
% 48.20/48.65 factor: (82973) {G0,W15,D2,L3,V3,M3} { ! cong( X, Y, Z, Y ), ! cyclic( X,
% 48.20/48.65 Z, Y, Y ), perp( Y, X, X, Y ) }.
% 48.20/48.65 parent0[0, 1]: (57) {G0,W20,D2,L4,V4,M4} I { ! cong( X, Y, T, Y ), ! cong(
% 48.20/48.65 X, Z, T, Z ), ! cyclic( X, T, Y, Z ), perp( Y, X, X, Z ) }.
% 48.20/48.65 substitution0:
% 48.20/48.65 X := X
% 48.20/48.65 Y := Y
% 48.20/48.65 Z := Y
% 48.20/48.65 T := Z
% 48.20/48.65 end
% 48.20/48.65
% 48.20/48.65 subsumption: (135) {G1,W15,D2,L3,V3,M3} F(57) { ! cong( X, Y, Z, Y ), !
% 48.20/48.65 cyclic( X, Z, Y, Y ), perp( Y, X, X, Y ) }.
% 48.20/48.65 parent0: (82973) {G0,W15,D2,L3,V3,M3} { ! cong( X, Y, Z, Y ), ! cyclic( X
% 48.20/48.65 , Z, Y, Y ), perp( Y, X, X, Y ) }.
% 48.20/48.65 substitution0:
% 48.20/48.65 X := X
% 48.20/48.65 Y := Y
% 48.20/48.65 Z := Z
% 48.20/48.65 end
% 48.20/48.65 permutation0:
% 48.20/48.65 0 ==> 0
% 48.20/48.65 1 ==> 1
% 48.20/48.65 2 ==> 2
% 48.20/48.65 end
% 48.20/48.65
% 48.20/48.65 factor: (82974) {G0,W18,D3,L4,V4,M4} { ! midp( X, Y, Z ), ! coll( Y, Y, Z
% 48.20/48.65 ), ! coll( Z, Y, Z ), midp( skol7( Y, T ), Y, T ) }.
% 48.20/48.65 parent0[0, 1]: (88) {G0,W22,D3,L5,V7,M5} I { ! midp( Z, X, Y ), ! midp( W,
% 48.20/48.65 T, U ), ! coll( T, X, Y ), ! coll( U, X, Y ), midp( skol7( X, V0 ), X, V0
% 48.20/48.65 ) }.
% 48.20/48.65 substitution0:
% 48.20/48.65 X := Y
% 48.20/48.65 Y := Z
% 48.20/48.65 Z := X
% 48.20/48.65 T := Y
% 48.20/48.65 U := Z
% 48.20/48.65 W := X
% 48.20/48.65 V0 := T
% 48.20/48.65 end
% 48.20/48.65
% 48.20/48.65 subsumption: (144) {G1,W18,D3,L4,V4,M4} F(88) { ! midp( X, Y, Z ), ! coll(
% 48.20/48.65 Y, Y, Z ), ! coll( Z, Y, Z ), midp( skol7( Y, T ), Y, T ) }.
% 48.20/48.65 parent0: (82974) {G0,W18,D3,L4,V4,M4} { ! midp( X, Y, Z ), ! coll( Y, Y, Z
% 48.20/48.65 ), ! coll( Z, Y, Z ), midp( skol7( Y, T ), Y, T ) }.
% 48.20/48.65 substitution0:
% 48.20/48.65 X := X
% 48.20/48.65 Y := Y
% 48.20/48.65 Z := Z
% 48.20/48.65 T := T
% 48.20/48.65 end
% 48.20/48.65 permutation0:
% 48.20/48.65 0 ==> 0
% 48.20/48.65 1 ==> 1
% 48.20/48.65 2 ==> 2
% 48.20/48.65 3 ==> 3
% 48.20/48.65 end
% 48.20/48.65
% 48.20/48.65 resolution: (82977) {G1,W4,D2,L1,V0,M1} { coll( skol27, skol22, skol20 )
% 48.20/48.65 }.
% 48.20/48.65 parent0[0]: (69) {G0,W8,D2,L2,V3,M2} I { ! midp( X, Y, Z ), coll( X, Y, Z )
% 48.20/48.65 }.
% 48.20/48.65 parent1[0]: (118) {G0,W4,D2,L1,V0,M1} I { midp( skol27, skol22, skol20 )
% 48.20/48.65 }.
% 48.20/48.65 substitution0:
% 48.20/48.65 X := skol27
% 48.20/48.65 Y := skol22
% 48.20/48.65 Z := skol20
% 48.20/48.65 end
% 48.20/48.65 substitution1:
% 48.20/48.65 end
% 48.20/48.65
% 48.20/48.65 subsumption: (162) {G1,W4,D2,L1,V0,M1} R(69,118) { coll( skol27, skol22,
% 48.20/48.65 skol20 ) }.
% 48.20/48.65 parent0: (82977) {G1,W4,D2,L1,V0,M1} { coll( skol27, skol22, skol20 ) }.
% 48.20/48.65 substitution0:
% 48.20/48.65 end
% 48.20/48.65 permutation0:
% 48.20/48.65 0 ==> 0
% 48.20/48.65 end
% 48.20/48.65
% 48.20/48.65 resolution: (82981) {G1,W12,D2,L3,V4,M3} { coll( X, Z, Y ), ! coll( Z, T,
% 48.20/48.65 X ), ! coll( Z, T, Y ) }.
% 48.20/48.65 parent0[0]: (0) {G0,W8,D2,L2,V3,M2} I { ! coll( X, Y, Z ), coll( X, Z, Y )
% 48.20/48.65 }.
% 48.20/48.65 parent1[2]: (2) {G0,W12,D2,L3,V4,M3} I { ! coll( X, T, Y ), ! coll( X, T, Z
% 48.20/48.65 ), coll( Y, Z, X ) }.
% 48.20/48.65 substitution0:
% 48.20/48.65 X := X
% 48.20/48.65 Y := Y
% 48.20/48.65 Z := Z
% 48.20/48.65 end
% 48.20/48.65 substitution1:
% 48.20/48.65 X := Z
% 48.20/48.65 Y := X
% 48.20/48.65 Z := Y
% 48.20/48.65 T := T
% 48.20/48.65 end
% 48.20/48.65
% 48.20/48.65 subsumption: (191) {G1,W12,D2,L3,V4,M3} R(2,0) { ! coll( X, Y, Z ), ! coll
% 48.20/48.65 ( X, Y, T ), coll( Z, X, T ) }.
% 48.20/48.65 parent0: (82981) {G1,W12,D2,L3,V4,M3} { coll( X, Z, Y ), ! coll( Z, T, X )
% 48.20/48.65 , ! coll( Z, T, Y ) }.
% 48.20/48.65 substitution0:
% 48.20/48.65 X := Z
% 48.20/48.65 Y := T
% 48.20/48.65 Z := X
% 48.20/48.65 T := Y
% 48.20/48.65 end
% 48.20/48.65 permutation0:
% 48.20/48.65 0 ==> 2
% 48.20/48.65 1 ==> 0
% 48.20/48.65 2 ==> 1
% 48.20/48.65 end
% 48.20/48.65
% 48.20/48.65 factor: (82983) {G1,W8,D2,L2,V3,M2} { ! coll( X, Y, Z ), coll( Z, X, Z )
% 48.20/48.65 }.
% 48.20/48.65 parent0[0, 1]: (191) {G1,W12,D2,L3,V4,M3} R(2,0) { ! coll( X, Y, Z ), !
% 48.20/48.65 coll( X, Y, T ), coll( Z, X, T ) }.
% 48.20/48.65 substitution0:
% 48.20/48.65 X := X
% 48.20/48.65 Y := Y
% 48.20/48.65 Z := Z
% 48.20/48.65 T := Z
% 48.20/48.65 end
% 48.20/48.65
% 48.20/48.65 subsumption: (192) {G2,W8,D2,L2,V3,M2} F(191) { ! coll( X, Y, Z ), coll( Z
% 48.20/48.65 , X, Z ) }.
% 48.20/48.65 parent0: (82983) {G1,W8,D2,L2,V3,M2} { ! coll( X, Y, Z ), coll( Z, X, Z )
% 48.20/48.65 }.
% 48.20/48.65 substitution0:
% 48.20/48.65 X := X
% 48.20/48.65 Y := Y
% 48.20/48.65 Z := Z
% 48.20/48.65 end
% 48.20/48.65 permutation0:
% 48.20/48.65 0 ==> 0
% 48.20/48.65 1 ==> 1
% 48.20/48.65 end
% 48.20/48.65
% 48.20/48.65 resolution: (82984) {G1,W5,D2,L1,V0,M1} { para( skol25, skol22, skol27,
% 48.20/48.65 skol24 ) }.
% 48.20/48.65 parent0[0]: (3) {G0,W10,D2,L2,V4,M2} I { ! para( X, Y, Z, T ), para( X, Y,
% 48.20/48.65 T, Z ) }.
% 48.20/48.65 parent1[0]: (120) {G0,W5,D2,L1,V0,M1} I { para( skol25, skol22, skol24,
% 48.20/48.65 skol27 ) }.
% 48.20/48.65 substitution0:
% 48.20/48.65 X := skol25
% 48.20/48.65 Y := skol22
% 48.20/48.65 Z := skol24
% 48.20/48.65 T := skol27
% 48.20/48.65 end
% 48.20/48.65 substitution1:
% 48.20/48.65 end
% 48.20/48.65
% 48.20/48.65 subsumption: (209) {G1,W5,D2,L1,V0,M1} R(3,120) { para( skol25, skol22,
% 48.20/48.65 skol27, skol24 ) }.
% 48.20/48.65 parent0: (82984) {G1,W5,D2,L1,V0,M1} { para( skol25, skol22, skol27,
% 48.20/48.65 skol24 ) }.
% 48.20/48.65 substitution0:
% 48.20/48.65 end
% 48.20/48.65 permutation0:
% 48.20/48.65 0 ==> 0
% 48.20/48.65 end
% 48.20/48.65
% 48.20/48.65 resolution: (82985) {G1,W4,D2,L1,V0,M1} { coll( skol22, skol27, skol20 )
% 48.20/48.65 }.
% 48.20/48.65 parent0[0]: (1) {G0,W8,D2,L2,V3,M2} I { ! coll( X, Y, Z ), coll( Y, X, Z )
% 48.20/48.65 }.
% 48.20/48.65 parent1[0]: (162) {G1,W4,D2,L1,V0,M1} R(69,118) { coll( skol27, skol22,
% 48.20/48.65 skol20 ) }.
% 48.20/48.65 substitution0:
% 48.20/48.65 X := skol27
% 48.20/48.65 Y := skol22
% 48.20/48.65 Z := skol20
% 48.20/48.65 end
% 48.20/48.65 substitution1:
% 48.20/48.65 end
% 48.20/48.65
% 48.20/48.65 subsumption: (217) {G2,W4,D2,L1,V0,M1} R(162,1) { coll( skol22, skol27,
% 48.20/48.65 skol20 ) }.
% 48.20/48.65 parent0: (82985) {G1,W4,D2,L1,V0,M1} { coll( skol22, skol27, skol20 ) }.
% 48.20/48.65 substitution0:
% 48.20/48.65 end
% 48.20/48.65 permutation0:
% 48.20/48.65 0 ==> 0
% 48.20/48.65 end
% 48.20/48.65
% 48.20/48.65 resolution: (82986) {G1,W4,D2,L1,V0,M1} { coll( skol22, skol20, skol27 )
% 48.20/48.65 }.
% 48.20/48.65 parent0[0]: (0) {G0,W8,D2,L2,V3,M2} I { ! coll( X, Y, Z ), coll( X, Z, Y )
% 48.20/48.65 }.
% 48.20/48.65 parent1[0]: (217) {G2,W4,D2,L1,V0,M1} R(162,1) { coll( skol22, skol27,
% 48.20/48.65 skol20 ) }.
% 48.20/48.65 substitution0:
% 48.20/48.65 X := skol22
% 48.20/48.65 Y := skol27
% 48.20/48.65 Z := skol20
% 48.20/48.65 end
% 48.20/48.65 substitution1:
% 48.20/48.65 end
% 48.20/48.65
% 48.20/48.65 subsumption: (221) {G3,W4,D2,L1,V0,M1} R(217,0) { coll( skol22, skol20,
% 48.20/48.65 skol27 ) }.
% 48.20/48.65 parent0: (82986) {G1,W4,D2,L1,V0,M1} { coll( skol22, skol20, skol27 ) }.
% 48.20/48.65 substitution0:
% 48.20/48.65 end
% 48.20/48.65 permutation0:
% 48.20/48.65 0 ==> 0
% 48.20/48.65 end
% 48.20/48.65
% 48.20/48.65 resolution: (82987) {G1,W5,D2,L1,V0,M1} { para( skol24, skol26, skol25,
% 48.20/48.65 skol27 ) }.
% 48.20/48.65 parent0[0]: (4) {G0,W10,D2,L2,V4,M2} I { ! para( X, Y, Z, T ), para( Z, T,
% 48.20/48.65 X, Y ) }.
% 48.20/48.65 parent1[0]: (119) {G0,W5,D2,L1,V0,M1} I { para( skol25, skol27, skol24,
% 48.20/48.65 skol26 ) }.
% 48.20/48.65 substitution0:
% 48.20/48.65 X := skol25
% 48.20/48.65 Y := skol27
% 48.20/48.65 Z := skol24
% 48.20/48.65 T := skol26
% 48.20/48.65 end
% 48.20/48.65 substitution1:
% 48.20/48.65 end
% 48.20/48.65
% 48.20/48.65 subsumption: (224) {G1,W5,D2,L1,V0,M1} R(4,119) { para( skol24, skol26,
% 48.20/48.65 skol25, skol27 ) }.
% 48.20/48.65 parent0: (82987) {G1,W5,D2,L1,V0,M1} { para( skol24, skol26, skol25,
% 48.20/48.65 skol27 ) }.
% 48.20/48.65 substitution0:
% 48.20/48.65 end
% 48.20/48.65 permutation0:
% 48.20/48.65 0 ==> 0
% 48.20/48.65 end
% 48.20/48.65
% 48.20/48.65 resolution: (82988) {G1,W5,D2,L1,V0,M1} { para( skol24, skol27, skol25,
% 48.20/48.65 skol22 ) }.
% 48.20/48.65 parent0[0]: (4) {G0,W10,D2,L2,V4,M2} I { ! para( X, Y, Z, T ), para( Z, T,
% 48.20/48.65 X, Y ) }.
% 48.20/48.65 parent1[0]: (120) {G0,W5,D2,L1,V0,M1} I { para( skol25, skol22, skol24,
% 48.20/48.65 skol27 ) }.
% 48.20/48.65 substitution0:
% 48.20/48.65 X := skol25
% 48.20/48.65 Y := skol22
% 48.20/48.65 Z := skol24
% 48.20/48.65 T := skol27
% 48.20/48.65 end
% 48.20/48.65 substitution1:
% 48.20/48.65 end
% 48.20/48.65
% 48.20/48.65 subsumption: (225) {G1,W5,D2,L1,V0,M1} R(4,120) { para( skol24, skol27,
% 48.20/48.65 skol25, skol22 ) }.
% 48.20/48.65 parent0: (82988) {G1,W5,D2,L1,V0,M1} { para( skol24, skol27, skol25,
% 48.20/48.65 skol22 ) }.
% 48.20/48.65 substitution0:
% 48.20/48.65 end
% 48.20/48.65 permutation0:
% 48.20/48.65 0 ==> 0
% 48.20/48.65 end
% 48.20/48.65
% 48.20/48.65 resolution: (82989) {G1,W5,D2,L1,V0,M1} { ! para( skol24, skol20, skol22,
% 48.20/48.65 skol23 ) }.
% 48.20/48.65 parent0[0]: (121) {G0,W5,D2,L1,V0,M1} I { ! para( skol22, skol23, skol24,
% 48.20/48.65 skol20 ) }.
% 48.20/48.65 parent1[1]: (4) {G0,W10,D2,L2,V4,M2} I { ! para( X, Y, Z, T ), para( Z, T,
% 48.20/48.65 X, Y ) }.
% 48.20/48.65 substitution0:
% 48.20/48.65 end
% 48.20/48.65 substitution1:
% 48.20/48.65 X := skol24
% 48.20/48.65 Y := skol20
% 48.20/48.65 Z := skol22
% 48.20/48.65 T := skol23
% 48.20/48.65 end
% 48.20/48.65
% 48.20/48.65 subsumption: (226) {G1,W5,D2,L1,V0,M1} R(4,121) { ! para( skol24, skol20,
% 48.20/48.65 skol22, skol23 ) }.
% 48.20/48.65 parent0: (82989) {G1,W5,D2,L1,V0,M1} { ! para( skol24, skol20, skol22,
% 48.20/48.65 skol23 ) }.
% 48.20/48.65 substitution0:
% 48.20/48.65 end
% 48.20/48.65 permutation0:
% 48.20/48.65 0 ==> 0
% 48.20/48.65 end
% 48.20/48.65
% 48.20/48.65 resolution: (82990) {G1,W4,D2,L1,V0,M1} { coll( skol20, skol22, skol27 )
% 48.20/48.65 }.
% 48.20/48.65 parent0[0]: (1) {G0,W8,D2,L2,V3,M2} I { ! coll( X, Y, Z ), coll( Y, X, Z )
% 48.20/48.65 }.
% 48.20/48.65 parent1[0]: (221) {G3,W4,D2,L1,V0,M1} R(217,0) { coll( skol22, skol20,
% 48.20/48.65 skol27 ) }.
% 48.20/48.65 substitution0:
% 48.20/48.65 X := skol22
% 48.20/48.65 Y := skol20
% 48.20/48.65 Z := skol27
% 48.20/48.65 end
% 48.20/48.65 substitution1:
% 48.20/48.65 end
% 48.20/48.65
% 48.20/48.65 subsumption: (229) {G4,W4,D2,L1,V0,M1} R(221,1) { coll( skol20, skol22,
% 48.20/48.65 skol27 ) }.
% 48.20/48.65 parent0: (82990) {G1,W4,D2,L1,V0,M1} { coll( skol20, skol22, skol27 ) }.
% 48.20/48.65 substitution0:
% 48.20/48.65 end
% 48.20/48.65 permutation0:
% 48.20/48.65 0 ==> 0
% 48.20/48.65 end
% 48.20/48.65
% 48.20/48.65 resolution: (82991) {G1,W4,D2,L1,V0,M1} { coll( skol20, skol27, skol22 )
% 48.20/48.65 }.
% 48.20/48.65 parent0[0]: (0) {G0,W8,D2,L2,V3,M2} I { ! coll( X, Y, Z ), coll( X, Z, Y )
% 48.20/48.65 }.
% 48.20/48.65 parent1[0]: (229) {G4,W4,D2,L1,V0,M1} R(221,1) { coll( skol20, skol22,
% 48.20/48.65 skol27 ) }.
% 48.20/48.65 substitution0:
% 48.20/48.65 X := skol20
% 48.20/48.65 Y := skol22
% 48.20/48.65 Z := skol27
% 48.20/48.65 end
% 48.20/48.65 substitution1:
% 48.20/48.65 end
% 48.20/48.65
% 48.20/48.65 subsumption: (232) {G5,W4,D2,L1,V0,M1} R(229,0) { coll( skol20, skol27,
% 48.20/48.65 skol22 ) }.
% 48.20/48.65 parent0: (82991) {G1,W4,D2,L1,V0,M1} { coll( skol20, skol27, skol22 ) }.
% 48.20/48.65 substitution0:
% 48.20/48.65 end
% 48.20/48.65 permutation0:
% 48.20/48.65 0 ==> 0
% 48.20/48.65 end
% 48.20/48.65
% 48.20/48.65 resolution: (82993) {G1,W10,D2,L2,V2,M2} { ! para( X, Y, skol25, skol22 )
% 48.20/48.65 , para( X, Y, skol24, skol27 ) }.
% 48.20/48.65 parent0[1]: (5) {G0,W15,D2,L3,V6,M3} I { ! para( X, Y, U, W ), ! para( U, W
% 48.20/48.65 , Z, T ), para( X, Y, Z, T ) }.
% 48.20/48.65 parent1[0]: (120) {G0,W5,D2,L1,V0,M1} I { para( skol25, skol22, skol24,
% 48.20/48.65 skol27 ) }.
% 48.20/48.65 substitution0:
% 48.20/48.65 X := X
% 48.20/48.65 Y := Y
% 48.20/48.65 Z := skol24
% 48.20/48.65 T := skol27
% 48.20/48.65 U := skol25
% 48.20/48.65 W := skol22
% 48.20/48.65 end
% 48.20/48.65 substitution1:
% 48.20/48.65 end
% 48.20/48.65
% 48.20/48.65 subsumption: (246) {G1,W10,D2,L2,V2,M2} R(5,120) { ! para( X, Y, skol25,
% 48.20/48.65 skol22 ), para( X, Y, skol24, skol27 ) }.
% 48.20/48.65 parent0: (82993) {G1,W10,D2,L2,V2,M2} { ! para( X, Y, skol25, skol22 ),
% 48.20/48.65 para( X, Y, skol24, skol27 ) }.
% 48.20/48.65 substitution0:
% 48.20/48.65 X := X
% 48.20/48.65 Y := Y
% 48.20/48.65 end
% 48.20/48.65 permutation0:
% 48.20/48.65 0 ==> 0
% 48.20/48.65 1 ==> 1
% 48.20/48.65 end
% 48.20/48.65
% 48.20/48.65 resolution: (82994) {G1,W5,D2,L1,V0,M1} { para( skol24, skol26, skol27,
% 48.20/48.65 skol25 ) }.
% 48.20/48.65 parent0[0]: (3) {G0,W10,D2,L2,V4,M2} I { ! para( X, Y, Z, T ), para( X, Y,
% 48.20/48.65 T, Z ) }.
% 48.20/48.65 parent1[0]: (224) {G1,W5,D2,L1,V0,M1} R(4,119) { para( skol24, skol26,
% 48.20/48.65 skol25, skol27 ) }.
% 48.20/48.65 substitution0:
% 48.20/48.65 X := skol24
% 48.20/48.65 Y := skol26
% 48.20/48.65 Z := skol25
% 48.20/48.65 T := skol27
% 48.20/48.65 end
% 48.20/48.65 substitution1:
% 48.20/48.65 end
% 48.20/48.65
% 48.20/48.65 subsumption: (252) {G2,W5,D2,L1,V0,M1} R(224,3) { para( skol24, skol26,
% 48.20/48.65 skol27, skol25 ) }.
% 48.20/48.65 parent0: (82994) {G1,W5,D2,L1,V0,M1} { para( skol24, skol26, skol27,
% 48.20/48.65 skol25 ) }.
% 48.20/48.65 substitution0:
% 48.20/48.65 end
% 48.20/48.65 permutation0:
% 48.20/48.65 0 ==> 0
% 48.20/48.65 end
% 48.20/48.65
% 48.20/48.65 resolution: (82995) {G1,W5,D2,L1,V0,M1} { para( skol27, skol25, skol24,
% 48.20/48.65 skol26 ) }.
% 48.20/48.65 parent0[0]: (4) {G0,W10,D2,L2,V4,M2} I { ! para( X, Y, Z, T ), para( Z, T,
% 48.20/48.65 X, Y ) }.
% 48.20/48.65 parent1[0]: (252) {G2,W5,D2,L1,V0,M1} R(224,3) { para( skol24, skol26,
% 48.20/48.65 skol27, skol25 ) }.
% 48.20/48.65 substitution0:
% 48.20/48.65 X := skol24
% 48.20/48.65 Y := skol26
% 48.20/48.65 Z := skol27
% 48.20/48.65 T := skol25
% 48.20/48.65 end
% 48.20/48.65 substitution1:
% 48.20/48.65 end
% 48.20/48.65
% 48.20/48.65 subsumption: (255) {G3,W5,D2,L1,V0,M1} R(252,4) { para( skol27, skol25,
% 48.20/48.65 skol24, skol26 ) }.
% 48.20/48.65 parent0: (82995) {G1,W5,D2,L1,V0,M1} { para( skol27, skol25, skol24,
% 48.20/48.65 skol26 ) }.
% 48.20/48.65 substitution0:
% 48.20/48.65 end
% 48.20/48.65 permutation0:
% 48.20/48.65 0 ==> 0
% 48.20/48.65 end
% 48.20/48.65
% 48.20/48.65 resolution: (82996) {G1,W5,D2,L1,V0,M1} { para( skol27, skol25, skol26,
% 48.20/48.65 skol24 ) }.
% 48.20/48.65 parent0[0]: (3) {G0,W10,D2,L2,V4,M2} I { ! para( X, Y, Z, T ), para( X, Y,
% 48.20/48.65 T, Z ) }.
% 48.20/48.65 parent1[0]: (255) {G3,W5,D2,L1,V0,M1} R(252,4) { para( skol27, skol25,
% 48.20/48.65 skol24, skol26 ) }.
% 48.20/48.65 substitution0:
% 48.20/48.65 X := skol27
% 48.20/48.65 Y := skol25
% 48.20/48.65 Z := skol24
% 48.20/48.65 T := skol26
% 48.20/48.65 end
% 48.20/48.65 substitution1:
% 48.20/48.65 end
% 48.20/48.65
% 48.20/48.65 subsumption: (258) {G4,W5,D2,L1,V0,M1} R(255,3) { para( skol27, skol25,
% 48.20/48.65 skol26, skol24 ) }.
% 48.20/48.65 parent0: (82996) {G1,W5,D2,L1,V0,M1} { para( skol27, skol25, skol26,
% 48.20/48.65 skol24 ) }.
% 48.20/48.65 substitution0:
% 48.20/48.65 end
% 48.20/48.65 permutation0:
% 48.20/48.65 0 ==> 0
% 48.20/48.65 end
% 48.20/48.65
% 48.20/48.65 resolution: (82997) {G1,W5,D2,L1,V0,M1} { para( skol26, skol24, skol27,
% 48.20/48.65 skol25 ) }.
% 48.20/48.65 parent0[0]: (4) {G0,W10,D2,L2,V4,M2} I { ! para( X, Y, Z, T ), para( Z, T,
% 48.20/48.65 X, Y ) }.
% 48.20/48.65 parent1[0]: (258) {G4,W5,D2,L1,V0,M1} R(255,3) { para( skol27, skol25,
% 48.20/48.65 skol26, skol24 ) }.
% 48.20/48.65 substitution0:
% 48.20/48.65 X := skol27
% 48.20/48.65 Y := skol25
% 48.20/48.65 Z := skol26
% 48.20/48.65 T := skol24
% 48.20/48.65 end
% 48.20/48.65 substitution1:
% 48.20/48.65 end
% 48.20/48.65
% 48.20/48.65 subsumption: (261) {G5,W5,D2,L1,V0,M1} R(258,4) { para( skol26, skol24,
% 48.20/48.65 skol27, skol25 ) }.
% 48.20/48.65 parent0: (82997) {G1,W5,D2,L1,V0,M1} { para( skol26, skol24, skol27,
% 48.20/48.65 skol25 ) }.
% 48.20/48.65 substitution0:
% 48.20/48.65 end
% 48.20/48.65 permutation0:
% 48.20/48.65 0 ==> 0
% 48.20/48.65 end
% 48.20/48.65
% 48.20/48.65 resolution: (82998) {G1,W5,D2,L1,V0,M1} { para( skol26, skol24, skol25,
% 48.20/48.65 skol27 ) }.
% 48.20/48.65 parent0[0]: (3) {G0,W10,D2,L2,V4,M2} I { ! para( X, Y, Z, T ), para( X, Y,
% 48.20/48.65 T, Z ) }.
% 48.20/48.65 parent1[0]: (261) {G5,W5,D2,L1,V0,M1} R(258,4) { para( skol26, skol24,
% 48.20/48.65 skol27, skol25 ) }.
% 48.20/48.65 substitution0:
% 48.20/48.65 X := skol26
% 48.20/48.65 Y := skol24
% 48.20/48.65 Z := skol27
% 48.20/48.65 T := skol25
% 48.20/48.65 end
% 48.20/48.65 substitution1:
% 48.20/48.65 end
% 48.20/48.65
% 48.20/48.65 subsumption: (264) {G6,W5,D2,L1,V0,M1} R(261,3) { para( skol26, skol24,
% 48.20/48.65 skol25, skol27 ) }.
% 48.20/48.65 parent0: (82998) {G1,W5,D2,L1,V0,M1} { para( skol26, skol24, skol25,
% 48.20/48.65 skol27 ) }.
% 48.20/48.65 substitution0:
% 48.20/48.65 end
% 48.20/48.65 permutation0:
% 48.20/48.65 0 ==> 0
% 48.20/48.65 end
% 48.20/48.65
% 48.20/48.65 resolution: (82999) {G1,W5,D2,L1,V0,M1} { para( skol24, skol27, skol22,
% 48.20/48.65 skol25 ) }.
% 48.20/48.65 parent0[0]: (3) {G0,W10,D2,L2,V4,M2} I { ! para( X, Y, Z, T ), para( X, Y,
% 48.20/48.65 T, Z ) }.
% 48.20/48.65 parent1[0]: (225) {G1,W5,D2,L1,V0,M1} R(4,120) { para( skol24, skol27,
% 48.20/48.65 skol25, skol22 ) }.
% 48.20/48.65 substitution0:
% 48.20/48.65 X := skol24
% 48.20/48.65 Y := skol27
% 48.20/48.65 Z := skol25
% 48.20/48.65 T := skol22
% 48.20/48.65 end
% 48.20/48.65 substitution1:
% 48.20/48.65 end
% 48.20/48.65
% 48.20/48.65 subsumption: (269) {G2,W5,D2,L1,V0,M1} R(225,3) { para( skol24, skol27,
% 48.20/48.65 skol22, skol25 ) }.
% 48.20/48.65 parent0: (82999) {G1,W5,D2,L1,V0,M1} { para( skol24, skol27, skol22,
% 48.20/48.65 skol25 ) }.
% 48.20/48.65 substitution0:
% 48.20/48.65 end
% 48.20/48.65 permutation0:
% 48.20/48.65 0 ==> 0
% 48.20/48.65 end
% 48.20/48.65
% 48.20/48.65 resolution: (83000) {G1,W5,D2,L1,V0,M1} { para( skol22, skol25, skol24,
% 48.20/48.65 skol27 ) }.
% 48.20/48.65 parent0[0]: (4) {G0,W10,D2,L2,V4,M2} I { ! para( X, Y, Z, T ), para( Z, T,
% 48.20/48.65 X, Y ) }.
% 48.20/48.65 parent1[0]: (269) {G2,W5,D2,L1,V0,M1} R(225,3) { para( skol24, skol27,
% 48.20/48.65 skol22, skol25 ) }.
% 48.20/48.65 substitution0:
% 48.20/48.65 X := skol24
% 48.20/48.65 Y := skol27
% 48.20/48.65 Z := skol22
% 48.20/48.65 T := skol25
% 48.20/48.65 end
% 48.20/48.65 substitution1:
% 48.20/48.65 end
% 48.20/48.65
% 48.20/48.65 subsumption: (272) {G3,W5,D2,L1,V0,M1} R(269,4) { para( skol22, skol25,
% 48.20/48.66 skol24, skol27 ) }.
% 48.20/48.66 parent0: (83000) {G1,W5,D2,L1,V0,M1} { para( skol22, skol25, skol24,
% 48.20/48.66 skol27 ) }.
% 48.20/48.66 substitution0:
% 48.20/48.66 end
% 48.20/48.66 permutation0:
% 48.20/48.66 0 ==> 0
% 48.20/48.66 end
% 48.20/48.66
% 48.20/48.66 resolution: (83001) {G1,W10,D2,L2,V4,M2} { perp( Z, T, X, Y ), ! perp( X,
% 48.20/48.66 Y, T, Z ) }.
% 48.20/48.66 parent0[0]: (7) {G0,W10,D2,L2,V4,M2} I { ! perp( X, Y, Z, T ), perp( Z, T,
% 48.20/48.66 X, Y ) }.
% 48.20/48.66 parent1[1]: (6) {G0,W10,D2,L2,V4,M2} I { ! perp( X, Y, Z, T ), perp( X, Y,
% 48.20/48.66 T, Z ) }.
% 48.20/48.66 substitution0:
% 48.20/48.66 X := X
% 48.20/48.66 Y := Y
% 48.20/48.66 Z := Z
% 48.20/48.66 T := T
% 48.20/48.66 end
% 48.20/48.66 substitution1:
% 48.20/48.66 X := X
% 48.20/48.66 Y := Y
% 48.20/48.66 Z := T
% 48.20/48.66 T := Z
% 48.20/48.66 end
% 48.20/48.66
% 48.20/48.66 subsumption: (273) {G1,W10,D2,L2,V4,M2} R(7,6) { perp( X, Y, Z, T ), ! perp
% 48.20/48.66 ( Z, T, Y, X ) }.
% 48.20/48.66 parent0: (83001) {G1,W10,D2,L2,V4,M2} { perp( Z, T, X, Y ), ! perp( X, Y,
% 48.20/48.66 T, Z ) }.
% 48.20/48.66 substitution0:
% 48.20/48.66 X := Z
% 48.20/48.66 Y := T
% 48.20/48.66 Z := X
% 48.20/48.66 T := Y
% 48.20/48.66 end
% 48.20/48.66 permutation0:
% 48.20/48.66 0 ==> 0
% 48.20/48.66 1 ==> 1
% 48.20/48.66 end
% 48.20/48.66
% 48.20/48.66 resolution: (83002) {G1,W5,D2,L1,V0,M1} { para( skol22, skol25, skol27,
% 48.20/48.66 skol24 ) }.
% 48.20/48.66 parent0[0]: (3) {G0,W10,D2,L2,V4,M2} I { ! para( X, Y, Z, T ), para( X, Y,
% 48.20/48.66 T, Z ) }.
% 48.20/48.66 parent1[0]: (272) {G3,W5,D2,L1,V0,M1} R(269,4) { para( skol22, skol25,
% 48.20/48.66 skol24, skol27 ) }.
% 48.20/48.66 substitution0:
% 48.20/48.66 X := skol22
% 48.20/48.66 Y := skol25
% 48.20/48.66 Z := skol24
% 48.20/48.66 T := skol27
% 48.20/48.66 end
% 48.20/48.66 substitution1:
% 48.20/48.66 end
% 48.20/48.66
% 48.20/48.66 subsumption: (277) {G4,W5,D2,L1,V0,M1} R(272,3) { para( skol22, skol25,
% 48.20/48.66 skol27, skol24 ) }.
% 48.20/48.66 parent0: (83002) {G1,W5,D2,L1,V0,M1} { para( skol22, skol25, skol27,
% 48.20/48.66 skol24 ) }.
% 48.20/48.66 substitution0:
% 48.20/48.66 end
% 48.20/48.66 permutation0:
% 48.20/48.66 0 ==> 0
% 48.20/48.66 end
% 48.20/48.66
% 48.20/48.66 resolution: (83003) {G1,W5,D2,L1,V0,M1} { para( skol27, skol24, skol22,
% 48.20/48.66 skol25 ) }.
% 48.20/48.66 parent0[0]: (4) {G0,W10,D2,L2,V4,M2} I { ! para( X, Y, Z, T ), para( Z, T,
% 48.20/48.66 X, Y ) }.
% 48.20/48.66 parent1[0]: (277) {G4,W5,D2,L1,V0,M1} R(272,3) { para( skol22, skol25,
% 48.20/48.66 skol27, skol24 ) }.
% 48.20/48.66 substitution0:
% 48.20/48.66 X := skol22
% 48.20/48.66 Y := skol25
% 48.20/48.66 Z := skol27
% 48.20/48.66 T := skol24
% 48.20/48.66 end
% 48.20/48.66 substitution1:
% 48.20/48.66 end
% 48.20/48.66
% 48.20/48.66 subsumption: (280) {G5,W5,D2,L1,V0,M1} R(277,4) { para( skol27, skol24,
% 48.20/48.66 skol22, skol25 ) }.
% 48.20/48.66 parent0: (83003) {G1,W5,D2,L1,V0,M1} { para( skol27, skol24, skol22,
% 48.20/48.66 skol25 ) }.
% 48.20/48.66 substitution0:
% 48.20/48.66 end
% 48.20/48.66 permutation0:
% 48.20/48.66 0 ==> 0
% 48.20/48.66 end
% 48.20/48.66
% 48.20/48.66 resolution: (83004) {G1,W5,D2,L1,V0,M1} { para( skol27, skol24, skol25,
% 48.20/48.66 skol22 ) }.
% 48.20/48.66 parent0[0]: (3) {G0,W10,D2,L2,V4,M2} I { ! para( X, Y, Z, T ), para( X, Y,
% 48.20/48.66 T, Z ) }.
% 48.20/48.66 parent1[0]: (280) {G5,W5,D2,L1,V0,M1} R(277,4) { para( skol27, skol24,
% 48.20/48.66 skol22, skol25 ) }.
% 48.20/48.66 substitution0:
% 48.20/48.66 X := skol27
% 48.20/48.66 Y := skol24
% 48.20/48.66 Z := skol22
% 48.20/48.66 T := skol25
% 48.20/48.66 end
% 48.20/48.66 substitution1:
% 48.20/48.66 end
% 48.20/48.66
% 48.20/48.66 subsumption: (283) {G6,W5,D2,L1,V0,M1} R(280,3) { para( skol27, skol24,
% 48.20/48.66 skol25, skol22 ) }.
% 48.20/48.66 parent0: (83004) {G1,W5,D2,L1,V0,M1} { para( skol27, skol24, skol25,
% 48.20/48.66 skol22 ) }.
% 48.20/48.66 substitution0:
% 48.20/48.66 end
% 48.20/48.66 permutation0:
% 48.20/48.66 0 ==> 0
% 48.20/48.66 end
% 48.20/48.66
% 48.20/48.66 resolution: (83005) {G1,W15,D2,L3,V6,M3} { para( Z, T, X, Y ), ! perp( X,
% 48.20/48.66 Y, U, W ), ! perp( U, W, Z, T ) }.
% 48.20/48.66 parent0[0]: (4) {G0,W10,D2,L2,V4,M2} I { ! para( X, Y, Z, T ), para( Z, T,
% 48.20/48.66 X, Y ) }.
% 48.20/48.66 parent1[2]: (8) {G0,W15,D2,L3,V6,M3} I { ! perp( X, Y, U, W ), ! perp( U, W
% 48.20/48.66 , Z, T ), para( X, Y, Z, T ) }.
% 48.20/48.66 substitution0:
% 48.20/48.66 X := X
% 48.20/48.66 Y := Y
% 48.20/48.66 Z := Z
% 48.20/48.66 T := T
% 48.20/48.66 end
% 48.20/48.66 substitution1:
% 48.20/48.66 X := X
% 48.20/48.66 Y := Y
% 48.20/48.66 Z := Z
% 48.20/48.66 T := T
% 48.20/48.66 U := U
% 48.20/48.66 W := W
% 48.20/48.66 end
% 48.20/48.66
% 48.20/48.66 subsumption: (292) {G1,W15,D2,L3,V6,M3} R(8,4) { ! perp( X, Y, Z, T ), !
% 48.20/48.66 perp( Z, T, U, W ), para( U, W, X, Y ) }.
% 48.20/48.66 parent0: (83005) {G1,W15,D2,L3,V6,M3} { para( Z, T, X, Y ), ! perp( X, Y,
% 48.20/48.66 U, W ), ! perp( U, W, Z, T ) }.
% 48.20/48.66 substitution0:
% 48.20/48.66 X := X
% 48.20/48.66 Y := Y
% 48.20/48.66 Z := U
% 48.20/48.66 T := W
% 48.20/48.66 U := Z
% 48.20/48.66 W := T
% 48.20/48.66 end
% 48.20/48.66 permutation0:
% 48.20/48.66 0 ==> 2
% 48.20/48.66 1 ==> 0
% 48.20/48.66 2 ==> 1
% 48.20/48.66 end
% 48.20/48.66
% 48.20/48.66 resolution: (83007) {G1,W5,D2,L1,V0,M1} { ! para( skol24, skol20, skol23,
% 48.20/48.66 skol22 ) }.
% 48.20/48.66 parent0[0]: (226) {G1,W5,D2,L1,V0,M1} R(4,121) { ! para( skol24, skol20,
% 48.20/48.66 skol22, skol23 ) }.
% 48.20/48.66 parent1[1]: (3) {G0,W10,D2,L2,V4,M2} I { ! para( X, Y, Z, T ), para( X, Y,
% 48.20/48.66 T, Z ) }.
% 48.20/48.66 substitution0:
% 48.20/48.66 end
% 48.20/48.66 substitution1:
% 48.20/48.66 X := skol24
% 48.20/48.66 Y := skol20
% 48.20/48.66 Z := skol23
% 48.20/48.66 T := skol22
% 48.20/48.66 end
% 48.20/48.66
% 48.20/48.66 subsumption: (300) {G2,W5,D2,L1,V0,M1} R(226,3) { ! para( skol24, skol20,
% 48.20/48.66 skol23, skol22 ) }.
% 48.20/48.66 parent0: (83007) {G1,W5,D2,L1,V0,M1} { ! para( skol24, skol20, skol23,
% 48.20/48.66 skol22 ) }.
% 48.20/48.66 substitution0:
% 48.20/48.66 end
% 48.20/48.66 permutation0:
% 48.20/48.66 0 ==> 0
% 48.20/48.66 end
% 48.20/48.66
% 48.20/48.66 resolution: (83008) {G1,W10,D2,L2,V2,M2} { ! para( skol24, skol20, X, Y )
% 48.20/48.66 , ! para( X, Y, skol23, skol22 ) }.
% 48.20/48.66 parent0[0]: (300) {G2,W5,D2,L1,V0,M1} R(226,3) { ! para( skol24, skol20,
% 48.20/48.66 skol23, skol22 ) }.
% 48.20/48.66 parent1[2]: (5) {G0,W15,D2,L3,V6,M3} I { ! para( X, Y, U, W ), ! para( U, W
% 48.20/48.66 , Z, T ), para( X, Y, Z, T ) }.
% 48.20/48.66 substitution0:
% 48.20/48.66 end
% 48.20/48.66 substitution1:
% 48.20/48.66 X := skol24
% 48.20/48.66 Y := skol20
% 48.20/48.66 Z := skol23
% 48.20/48.66 T := skol22
% 48.20/48.66 U := X
% 48.20/48.66 W := Y
% 48.20/48.66 end
% 48.20/48.66
% 48.20/48.66 subsumption: (302) {G3,W10,D2,L2,V2,M2} R(300,5) { ! para( skol24, skol20,
% 48.20/48.66 X, Y ), ! para( X, Y, skol23, skol22 ) }.
% 48.20/48.66 parent0: (83008) {G1,W10,D2,L2,V2,M2} { ! para( skol24, skol20, X, Y ), !
% 48.20/48.66 para( X, Y, skol23, skol22 ) }.
% 48.20/48.66 substitution0:
% 48.20/48.66 X := X
% 48.20/48.66 Y := Y
% 48.20/48.66 end
% 48.20/48.66 permutation0:
% 48.20/48.66 0 ==> 0
% 48.20/48.66 1 ==> 1
% 48.20/48.66 end
% 48.20/48.66
% 48.20/48.66 resolution: (83015) {G1,W20,D2,L4,V8,M4} { ! perp( X, Y, Z, T ), para( X,
% 48.20/48.66 Y, U, W ), ! para( Z, T, V0, V1 ), ! perp( V0, V1, U, W ) }.
% 48.20/48.66 parent0[1]: (8) {G0,W15,D2,L3,V6,M3} I { ! perp( X, Y, U, W ), ! perp( U, W
% 48.20/48.66 , Z, T ), para( X, Y, Z, T ) }.
% 48.20/48.66 parent1[2]: (9) {G0,W15,D2,L3,V6,M3} I { ! para( X, Y, U, W ), ! perp( U, W
% 48.20/48.66 , Z, T ), perp( X, Y, Z, T ) }.
% 48.20/48.66 substitution0:
% 48.20/48.66 X := X
% 48.20/48.66 Y := Y
% 48.20/48.66 Z := U
% 48.20/48.66 T := W
% 48.20/48.66 U := Z
% 48.20/48.66 W := T
% 48.20/48.66 end
% 48.20/48.66 substitution1:
% 48.20/48.66 X := Z
% 48.20/48.66 Y := T
% 48.20/48.66 Z := U
% 48.20/48.66 T := W
% 48.20/48.66 U := V0
% 48.20/48.66 W := V1
% 48.20/48.66 end
% 48.20/48.66
% 48.20/48.66 subsumption: (312) {G1,W20,D2,L4,V8,M4} R(9,8) { ! para( X, Y, Z, T ), !
% 48.20/48.66 perp( Z, T, U, W ), ! perp( V0, V1, X, Y ), para( V0, V1, U, W ) }.
% 48.20/48.66 parent0: (83015) {G1,W20,D2,L4,V8,M4} { ! perp( X, Y, Z, T ), para( X, Y,
% 48.20/48.66 U, W ), ! para( Z, T, V0, V1 ), ! perp( V0, V1, U, W ) }.
% 48.20/48.66 substitution0:
% 48.20/48.66 X := V0
% 48.20/48.66 Y := V1
% 48.20/48.66 Z := X
% 48.20/48.66 T := Y
% 48.20/48.66 U := U
% 48.20/48.66 W := W
% 48.20/48.66 V0 := Z
% 48.20/48.66 V1 := T
% 48.20/48.66 end
% 48.20/48.66 permutation0:
% 48.20/48.66 0 ==> 2
% 48.20/48.66 1 ==> 3
% 48.20/48.66 2 ==> 0
% 48.20/48.66 3 ==> 1
% 48.20/48.66 end
% 48.20/48.66
% 48.20/48.66 resolution: (83018) {G1,W10,D2,L2,V2,M2} { ! para( skol27, skol24, X, Y )
% 48.20/48.66 , para( skol25, skol22, X, Y ) }.
% 48.20/48.66 parent0[0]: (5) {G0,W15,D2,L3,V6,M3} I { ! para( X, Y, U, W ), ! para( U, W
% 48.20/48.66 , Z, T ), para( X, Y, Z, T ) }.
% 48.20/48.66 parent1[0]: (209) {G1,W5,D2,L1,V0,M1} R(3,120) { para( skol25, skol22,
% 48.20/48.66 skol27, skol24 ) }.
% 48.20/48.66 substitution0:
% 48.20/48.66 X := skol25
% 48.20/48.66 Y := skol22
% 48.20/48.66 Z := X
% 48.20/48.66 T := Y
% 48.20/48.66 U := skol27
% 48.20/48.66 W := skol24
% 48.20/48.66 end
% 48.20/48.66 substitution1:
% 48.20/48.66 end
% 48.20/48.66
% 48.20/48.66 subsumption: (341) {G2,W10,D2,L2,V2,M2} R(209,5) { ! para( skol27, skol24,
% 48.20/48.66 X, Y ), para( skol25, skol22, X, Y ) }.
% 48.20/48.66 parent0: (83018) {G1,W10,D2,L2,V2,M2} { ! para( skol27, skol24, X, Y ),
% 48.20/48.66 para( skol25, skol22, X, Y ) }.
% 48.20/48.66 substitution0:
% 48.20/48.66 X := X
% 48.20/48.66 Y := Y
% 48.20/48.66 end
% 48.20/48.66 permutation0:
% 48.20/48.66 0 ==> 0
% 48.20/48.66 1 ==> 1
% 48.20/48.66 end
% 48.20/48.66
% 48.20/48.66 resolution: (83020) {G1,W4,D2,L1,V0,M1} { midp( skol26, skol22, skol25 )
% 48.20/48.66 }.
% 48.20/48.66 parent0[0]: (10) {G0,W8,D2,L2,V3,M2} I { ! midp( Z, Y, X ), midp( Z, X, Y )
% 48.20/48.66 }.
% 48.20/48.66 parent1[0]: (116) {G0,W4,D2,L1,V0,M1} I { midp( skol26, skol25, skol22 )
% 48.20/48.66 }.
% 48.20/48.66 substitution0:
% 48.20/48.66 X := skol22
% 48.20/48.66 Y := skol25
% 48.20/48.66 Z := skol26
% 48.20/48.66 end
% 48.20/48.66 substitution1:
% 48.20/48.66 end
% 48.20/48.66
% 48.20/48.66 subsumption: (343) {G1,W4,D2,L1,V0,M1} R(10,116) { midp( skol26, skol22,
% 48.20/48.66 skol25 ) }.
% 48.20/48.66 parent0: (83020) {G1,W4,D2,L1,V0,M1} { midp( skol26, skol22, skol25 ) }.
% 48.20/48.66 substitution0:
% 48.20/48.66 end
% 48.20/48.66 permutation0:
% 48.20/48.66 0 ==> 0
% 48.20/48.66 end
% 48.20/48.66
% 48.20/48.66 resolution: (83021) {G1,W4,D2,L1,V0,M1} { midp( skol23, skol25, skol20 )
% 48.20/48.66 }.
% 48.20/48.66 parent0[0]: (10) {G0,W8,D2,L2,V3,M2} I { ! midp( Z, Y, X ), midp( Z, X, Y )
% 48.20/48.66 }.
% 48.20/48.66 parent1[0]: (117) {G0,W4,D2,L1,V0,M1} I { midp( skol23, skol20, skol25 )
% 48.20/48.66 }.
% 48.20/48.66 substitution0:
% 48.20/48.66 X := skol25
% 48.20/48.66 Y := skol20
% 48.20/48.66 Z := skol23
% 48.20/48.66 end
% 48.20/48.66 substitution1:
% 48.20/48.66 end
% 48.20/48.66
% 48.20/48.66 subsumption: (344) {G1,W4,D2,L1,V0,M1} R(10,117) { midp( skol23, skol25,
% 48.20/48.66 skol20 ) }.
% 48.20/48.66 parent0: (83021) {G1,W4,D2,L1,V0,M1} { midp( skol23, skol25, skol20 ) }.
% 48.20/48.66 substitution0:
% 48.20/48.66 end
% 48.20/48.66 permutation0:
% 48.20/48.66 0 ==> 0
% 48.20/48.66 end
% 48.20/48.66
% 48.20/48.66 resolution: (83022) {G1,W4,D2,L1,V0,M1} { midp( skol27, skol20, skol22 )
% 48.20/48.66 }.
% 48.20/48.66 parent0[0]: (10) {G0,W8,D2,L2,V3,M2} I { ! midp( Z, Y, X ), midp( Z, X, Y )
% 48.20/48.66 }.
% 48.20/48.66 parent1[0]: (118) {G0,W4,D2,L1,V0,M1} I { midp( skol27, skol22, skol20 )
% 48.20/48.66 }.
% 48.20/48.66 substitution0:
% 48.20/48.66 X := skol20
% 48.20/48.66 Y := skol22
% 48.20/48.66 Z := skol27
% 48.20/48.66 end
% 48.20/48.66 substitution1:
% 48.20/48.66 end
% 48.20/48.66
% 48.20/48.66 subsumption: (345) {G1,W4,D2,L1,V0,M1} R(10,118) { midp( skol27, skol20,
% 48.20/48.66 skol22 ) }.
% 48.20/48.66 parent0: (83022) {G1,W4,D2,L1,V0,M1} { midp( skol27, skol20, skol22 ) }.
% 48.20/48.66 substitution0:
% 48.20/48.66 end
% 48.20/48.66 permutation0:
% 48.20/48.66 0 ==> 0
% 48.20/48.66 end
% 48.20/48.66
% 48.20/48.66 resolution: (83023) {G3,W4,D2,L1,V0,M1} { coll( skol22, skol20, skol22 )
% 48.20/48.66 }.
% 48.20/48.66 parent0[0]: (192) {G2,W8,D2,L2,V3,M2} F(191) { ! coll( X, Y, Z ), coll( Z,
% 48.20/48.66 X, Z ) }.
% 48.20/48.66 parent1[0]: (232) {G5,W4,D2,L1,V0,M1} R(229,0) { coll( skol20, skol27,
% 48.20/48.66 skol22 ) }.
% 48.20/48.66 substitution0:
% 48.20/48.66 X := skol20
% 48.20/48.66 Y := skol27
% 48.20/48.66 Z := skol22
% 48.20/48.66 end
% 48.20/48.66 substitution1:
% 48.20/48.66 end
% 48.20/48.66
% 48.20/48.66 subsumption: (350) {G6,W4,D2,L1,V0,M1} R(192,232) { coll( skol22, skol20,
% 48.20/48.66 skol22 ) }.
% 48.20/48.66 parent0: (83023) {G3,W4,D2,L1,V0,M1} { coll( skol22, skol20, skol22 ) }.
% 48.20/48.66 substitution0:
% 48.20/48.66 end
% 48.20/48.66 permutation0:
% 48.20/48.66 0 ==> 0
% 48.20/48.66 end
% 48.20/48.66
% 48.20/48.66 resolution: (83024) {G3,W4,D2,L1,V0,M1} { coll( skol20, skol22, skol20 )
% 48.20/48.66 }.
% 48.20/48.66 parent0[0]: (192) {G2,W8,D2,L2,V3,M2} F(191) { ! coll( X, Y, Z ), coll( Z,
% 48.20/48.66 X, Z ) }.
% 48.20/48.66 parent1[0]: (217) {G2,W4,D2,L1,V0,M1} R(162,1) { coll( skol22, skol27,
% 48.20/48.66 skol20 ) }.
% 48.20/48.66 substitution0:
% 48.20/48.66 X := skol22
% 48.20/48.66 Y := skol27
% 48.20/48.66 Z := skol20
% 48.20/48.66 end
% 48.20/48.66 substitution1:
% 48.20/48.66 end
% 48.20/48.66
% 48.20/48.66 subsumption: (353) {G3,W4,D2,L1,V0,M1} R(192,217) { coll( skol20, skol22,
% 48.20/48.66 skol20 ) }.
% 48.20/48.66 parent0: (83024) {G3,W4,D2,L1,V0,M1} { coll( skol20, skol22, skol20 ) }.
% 48.20/48.66 substitution0:
% 48.20/48.66 end
% 48.20/48.66 permutation0:
% 48.20/48.66 0 ==> 0
% 48.20/48.66 end
% 48.20/48.66
% 48.20/48.66 resolution: (83025) {G1,W12,D2,L3,V4,M3} { coll( Z, X, Z ), ! coll( Z, T,
% 48.20/48.66 X ), ! coll( Z, T, Y ) }.
% 48.20/48.66 parent0[0]: (192) {G2,W8,D2,L2,V3,M2} F(191) { ! coll( X, Y, Z ), coll( Z,
% 48.20/48.66 X, Z ) }.
% 48.20/48.66 parent1[2]: (2) {G0,W12,D2,L3,V4,M3} I { ! coll( X, T, Y ), ! coll( X, T, Z
% 48.20/48.66 ), coll( Y, Z, X ) }.
% 48.20/48.66 substitution0:
% 48.20/48.66 X := X
% 48.20/48.66 Y := Y
% 48.20/48.66 Z := Z
% 48.20/48.66 end
% 48.20/48.66 substitution1:
% 48.20/48.66 X := Z
% 48.20/48.66 Y := X
% 48.20/48.66 Z := Y
% 48.20/48.66 T := T
% 48.20/48.66 end
% 48.20/48.66
% 48.20/48.66 subsumption: (361) {G3,W12,D2,L3,V4,M3} R(192,2) { coll( X, Y, X ), ! coll
% 48.20/48.66 ( X, Z, Y ), ! coll( X, Z, T ) }.
% 48.20/48.66 parent0: (83025) {G1,W12,D2,L3,V4,M3} { coll( Z, X, Z ), ! coll( Z, T, X )
% 48.20/48.66 , ! coll( Z, T, Y ) }.
% 48.20/48.66 substitution0:
% 48.20/48.66 X := Y
% 48.20/48.66 Y := Y
% 48.20/48.66 Z := X
% 48.20/48.66 T := Z
% 48.20/48.66 end
% 48.20/48.66 permutation0:
% 48.20/48.66 0 ==> 0
% 48.20/48.66 1 ==> 1
% 48.20/48.66 2 ==> 1
% 48.20/48.66 end
% 48.20/48.66
% 48.20/48.66 factor: (83027) {G3,W8,D2,L2,V3,M2} { coll( X, Y, X ), ! coll( X, Z, Y )
% 48.20/48.66 }.
% 48.20/48.66 parent0[1, 2]: (361) {G3,W12,D2,L3,V4,M3} R(192,2) { coll( X, Y, X ), !
% 48.20/48.66 coll( X, Z, Y ), ! coll( X, Z, T ) }.
% 48.20/48.66 substitution0:
% 48.20/48.66 X := X
% 48.20/48.66 Y := Y
% 48.20/48.66 Z := Z
% 48.20/48.66 T := Y
% 48.20/48.66 end
% 48.20/48.66
% 48.20/48.66 subsumption: (373) {G4,W8,D2,L2,V3,M2} F(361) { coll( X, Y, X ), ! coll( X
% 48.20/48.66 , Z, Y ) }.
% 48.20/48.66 parent0: (83027) {G3,W8,D2,L2,V3,M2} { coll( X, Y, X ), ! coll( X, Z, Y )
% 48.20/48.66 }.
% 48.20/48.66 substitution0:
% 48.20/48.66 X := X
% 48.20/48.66 Y := Y
% 48.20/48.66 Z := Z
% 48.20/48.66 end
% 48.20/48.66 permutation0:
% 48.20/48.66 0 ==> 0
% 48.20/48.66 1 ==> 1
% 48.20/48.66 end
% 48.20/48.66
% 48.20/48.66 resolution: (83028) {G1,W10,D2,L2,V4,M2} { cyclic( X, Z, Y, T ), ! cyclic
% 48.20/48.66 ( X, Y, T, Z ) }.
% 48.20/48.66 parent0[0]: (14) {G0,W10,D2,L2,V4,M2} I { ! cyclic( X, Y, Z, T ), cyclic( X
% 48.20/48.66 , Z, Y, T ) }.
% 48.20/48.66 parent1[1]: (13) {G0,W10,D2,L2,V4,M2} I { ! cyclic( X, Y, Z, T ), cyclic( X
% 48.20/48.66 , Y, T, Z ) }.
% 48.20/48.66 substitution0:
% 48.20/48.66 X := X
% 48.20/48.66 Y := Y
% 48.20/48.66 Z := Z
% 48.20/48.66 T := T
% 48.20/48.66 end
% 48.20/48.66 substitution1:
% 48.20/48.66 X := X
% 48.20/48.66 Y := Y
% 48.20/48.66 Z := T
% 48.20/48.66 T := Z
% 48.20/48.66 end
% 48.20/48.66
% 48.20/48.66 subsumption: (394) {G1,W10,D2,L2,V4,M2} R(14,13) { cyclic( X, Y, Z, T ), !
% 48.20/48.66 cyclic( X, Z, T, Y ) }.
% 48.20/48.66 parent0: (83028) {G1,W10,D2,L2,V4,M2} { cyclic( X, Z, Y, T ), ! cyclic( X
% 48.20/48.66 , Y, T, Z ) }.
% 48.20/48.66 substitution0:
% 48.20/48.66 X := X
% 48.20/48.66 Y := Z
% 48.20/48.66 Z := Y
% 48.20/48.66 T := T
% 48.20/48.66 end
% 48.20/48.66 permutation0:
% 48.20/48.66 0 ==> 0
% 48.20/48.66 1 ==> 1
% 48.20/48.66 end
% 48.20/48.66
% 48.20/48.66 resolution: (83029) {G1,W4,D2,L1,V0,M1} { coll( skol20, skol20, skol22 )
% 48.20/48.66 }.
% 48.20/48.66 parent0[0]: (0) {G0,W8,D2,L2,V3,M2} I { ! coll( X, Y, Z ), coll( X, Z, Y )
% 48.20/48.66 }.
% 48.20/48.66 parent1[0]: (353) {G3,W4,D2,L1,V0,M1} R(192,217) { coll( skol20, skol22,
% 48.20/48.66 skol20 ) }.
% 48.20/48.66 substitution0:
% 48.20/48.66 X := skol20
% 48.20/48.66 Y := skol22
% 48.20/48.66 Z := skol20
% 48.20/48.66 end
% 48.20/48.66 substitution1:
% 48.20/48.66 end
% 48.20/48.66
% 48.20/48.66 subsumption: (405) {G4,W4,D2,L1,V0,M1} R(353,0) { coll( skol20, skol20,
% 48.20/48.66 skol22 ) }.
% 48.20/48.66 parent0: (83029) {G1,W4,D2,L1,V0,M1} { coll( skol20, skol20, skol22 ) }.
% 48.20/48.66 substitution0:
% 48.20/48.66 end
% 48.20/48.66 permutation0:
% 48.20/48.66 0 ==> 0
% 48.20/48.66 end
% 48.20/48.66
% 48.20/48.66 resolution: (83030) {G1,W10,D2,L2,V4,M2} { cyclic( Y, X, Z, T ), ! cyclic
% 48.20/48.66 ( X, Z, Y, T ) }.
% 48.20/48.66 parent0[0]: (15) {G0,W10,D2,L2,V4,M2} I { ! cyclic( X, Y, Z, T ), cyclic( Y
% 48.20/48.66 , X, Z, T ) }.
% 48.20/48.66 parent1[1]: (14) {G0,W10,D2,L2,V4,M2} I { ! cyclic( X, Y, Z, T ), cyclic( X
% 48.20/48.66 , Z, Y, T ) }.
% 48.20/48.66 substitution0:
% 48.20/48.66 X := X
% 48.20/48.66 Y := Y
% 48.20/48.66 Z := Z
% 48.20/48.66 T := T
% 48.20/48.66 end
% 48.20/48.66 substitution1:
% 48.20/48.66 X := X
% 48.20/48.66 Y := Z
% 48.20/48.66 Z := Y
% 48.20/48.66 T := T
% 48.20/48.66 end
% 48.20/48.66
% 48.20/48.66 subsumption: (406) {G1,W10,D2,L2,V4,M2} R(15,14) { cyclic( X, Y, Z, T ), !
% 48.20/48.66 cyclic( Y, Z, X, T ) }.
% 48.20/48.66 parent0: (83030) {G1,W10,D2,L2,V4,M2} { cyclic( Y, X, Z, T ), ! cyclic( X
% 48.25/48.66 , Z, Y, T ) }.
% 48.25/48.66 substitution0:
% 48.25/48.66 X := Y
% 48.25/48.66 Y := X
% 48.25/48.66 Z := Z
% 48.25/48.66 T := T
% 48.25/48.66 end
% 48.25/48.66 permutation0:
% 48.25/48.66 0 ==> 0
% 48.25/48.66 1 ==> 1
% 48.25/48.66 end
% 48.25/48.66
% 48.25/48.66 resolution: (83034) {G1,W15,D2,L3,V5,M3} { cyclic( Y, X, Z, T ), ! cyclic
% 48.25/48.66 ( U, X, Y, Z ), ! cyclic( U, X, Y, T ) }.
% 48.25/48.66 parent0[0]: (15) {G0,W10,D2,L2,V4,M2} I { ! cyclic( X, Y, Z, T ), cyclic( Y
% 48.25/48.66 , X, Z, T ) }.
% 48.25/48.66 parent1[2]: (16) {G0,W15,D2,L3,V5,M3} I { ! cyclic( U, X, Y, Z ), ! cyclic
% 48.25/48.66 ( U, X, Y, T ), cyclic( X, Y, Z, T ) }.
% 48.25/48.66 substitution0:
% 48.25/48.66 X := X
% 48.25/48.66 Y := Y
% 48.25/48.66 Z := Z
% 48.25/48.66 T := T
% 48.25/48.66 end
% 48.25/48.66 substitution1:
% 48.25/48.66 X := X
% 48.25/48.66 Y := Y
% 48.25/48.66 Z := Z
% 48.25/48.66 T := T
% 48.25/48.66 U := U
% 48.25/48.66 end
% 48.25/48.66
% 48.25/48.66 subsumption: (424) {G1,W15,D2,L3,V5,M3} R(16,15) { ! cyclic( X, Y, Z, T ),
% 48.25/48.66 ! cyclic( X, Y, Z, U ), cyclic( Z, Y, T, U ) }.
% 48.25/48.66 parent0: (83034) {G1,W15,D2,L3,V5,M3} { cyclic( Y, X, Z, T ), ! cyclic( U
% 48.25/48.66 , X, Y, Z ), ! cyclic( U, X, Y, T ) }.
% 48.25/48.66 substitution0:
% 48.25/48.66 X := Y
% 48.25/48.66 Y := Z
% 48.25/48.66 Z := T
% 48.25/48.66 T := U
% 48.25/48.66 U := X
% 48.25/48.66 end
% 48.25/48.66 permutation0:
% 48.25/48.66 0 ==> 2
% 48.25/48.66 1 ==> 0
% 48.25/48.66 2 ==> 1
% 48.25/48.66 end
% 48.25/48.66
% 48.25/48.66 factor: (83036) {G1,W10,D2,L2,V4,M2} { ! cyclic( X, Y, Z, T ), cyclic( Z,
% 48.25/48.66 Y, T, T ) }.
% 48.25/48.66 parent0[0, 1]: (424) {G1,W15,D2,L3,V5,M3} R(16,15) { ! cyclic( X, Y, Z, T )
% 48.25/48.66 , ! cyclic( X, Y, Z, U ), cyclic( Z, Y, T, U ) }.
% 48.25/48.66 substitution0:
% 48.25/48.66 X := X
% 48.25/48.66 Y := Y
% 48.25/48.66 Z := Z
% 48.25/48.66 T := T
% 48.25/48.66 U := T
% 48.25/48.66 end
% 48.25/48.66
% 48.25/48.66 subsumption: (433) {G2,W10,D2,L2,V4,M2} F(424) { ! cyclic( X, Y, Z, T ),
% 48.25/48.66 cyclic( Z, Y, T, T ) }.
% 48.25/48.66 parent0: (83036) {G1,W10,D2,L2,V4,M2} { ! cyclic( X, Y, Z, T ), cyclic( Z
% 48.25/48.66 , Y, T, T ) }.
% 48.25/48.66 substitution0:
% 48.25/48.66 X := X
% 48.25/48.66 Y := Y
% 48.25/48.66 Z := Z
% 48.25/48.66 T := T
% 48.25/48.66 end
% 48.25/48.66 permutation0:
% 48.25/48.66 0 ==> 0
% 48.25/48.66 1 ==> 1
% 48.25/48.66 end
% 48.25/48.66
% 48.25/48.66 resolution: (83038) {G1,W10,D2,L2,V4,M2} { cong( X, Y, T, Z ), ! cong( Z,
% 48.25/48.66 T, X, Y ) }.
% 48.25/48.66 parent0[0]: (22) {G0,W10,D2,L2,V4,M2} I { ! cong( X, Y, Z, T ), cong( X, Y
% 48.25/48.66 , T, Z ) }.
% 48.25/48.66 parent1[1]: (23) {G0,W10,D2,L2,V4,M2} I { ! cong( X, Y, Z, T ), cong( Z, T
% 48.25/48.66 , X, Y ) }.
% 48.25/48.66 substitution0:
% 48.25/48.66 X := X
% 48.25/48.66 Y := Y
% 48.25/48.66 Z := Z
% 48.25/48.66 T := T
% 48.25/48.66 end
% 48.25/48.66 substitution1:
% 48.25/48.66 X := Z
% 48.25/48.66 Y := T
% 48.25/48.66 Z := X
% 48.25/48.66 T := Y
% 48.25/48.66 end
% 48.25/48.66
% 48.25/48.66 subsumption: (517) {G1,W10,D2,L2,V4,M2} R(23,22) { ! cong( X, Y, Z, T ),
% 48.25/48.66 cong( Z, T, Y, X ) }.
% 48.25/48.66 parent0: (83038) {G1,W10,D2,L2,V4,M2} { cong( X, Y, T, Z ), ! cong( Z, T,
% 48.25/48.66 X, Y ) }.
% 48.25/48.66 substitution0:
% 48.25/48.66 X := Z
% 48.25/48.66 Y := T
% 48.25/48.66 Z := X
% 48.25/48.66 T := Y
% 48.25/48.66 end
% 48.25/48.66 permutation0:
% 48.25/48.66 0 ==> 1
% 48.25/48.66 1 ==> 0
% 48.25/48.66 end
% 48.25/48.66
% 48.25/48.66 resolution: (83039) {G1,W20,D2,L4,V5,M4} { ! cong( X, Y, X, T ), ! cong( X
% 48.25/48.66 , Y, X, U ), cyclic( Y, Z, T, U ), ! cong( X, Z, X, Y ) }.
% 48.25/48.66 parent0[0]: (12) {G0,W20,D2,L4,V5,M4} I { ! cong( U, X, U, Y ), ! cong( U,
% 48.25/48.66 X, U, Z ), ! cong( U, X, U, T ), cyclic( X, Y, Z, T ) }.
% 48.25/48.66 parent1[1]: (23) {G0,W10,D2,L2,V4,M2} I { ! cong( X, Y, Z, T ), cong( Z, T
% 48.25/48.66 , X, Y ) }.
% 48.25/48.66 substitution0:
% 48.25/48.66 X := Y
% 48.25/48.66 Y := Z
% 48.25/48.66 Z := T
% 48.25/48.66 T := U
% 48.25/48.66 U := X
% 48.25/48.66 end
% 48.25/48.66 substitution1:
% 48.25/48.66 X := X
% 48.25/48.66 Y := Z
% 48.25/48.66 Z := X
% 48.25/48.66 T := Y
% 48.25/48.66 end
% 48.25/48.66
% 48.25/48.66 subsumption: (518) {G1,W20,D2,L4,V5,M4} R(23,12) { ! cong( X, Y, X, Z ), !
% 48.25/48.66 cong( X, Z, X, T ), ! cong( X, Z, X, U ), cyclic( Z, Y, T, U ) }.
% 48.25/48.66 parent0: (83039) {G1,W20,D2,L4,V5,M4} { ! cong( X, Y, X, T ), ! cong( X, Y
% 48.25/48.66 , X, U ), cyclic( Y, Z, T, U ), ! cong( X, Z, X, Y ) }.
% 48.25/48.66 substitution0:
% 48.25/48.66 X := X
% 48.25/48.66 Y := Z
% 48.25/48.66 Z := Y
% 48.25/48.66 T := T
% 48.25/48.66 U := U
% 48.25/48.66 end
% 48.25/48.66 permutation0:
% 48.25/48.66 0 ==> 1
% 48.25/48.66 1 ==> 2
% 48.25/48.66 2 ==> 3
% 48.25/48.66 3 ==> 0
% 48.25/48.66 end
% 48.25/48.66
% 48.25/48.66 resolution: (83049) {G1,W15,D2,L3,V6,M3} { ! cong( Z, T, U, W ), cong( X,
% 48.25/48.66 Y, U, W ), ! cong( Z, T, X, Y ) }.
% 48.25/48.66 parent0[0]: (24) {G0,W15,D2,L3,V6,M3} I { ! cong( X, Y, U, W ), ! cong( U,
% 48.25/48.66 W, Z, T ), cong( X, Y, Z, T ) }.
% 48.25/48.66 parent1[1]: (23) {G0,W10,D2,L2,V4,M2} I { ! cong( X, Y, Z, T ), cong( Z, T
% 48.25/48.66 , X, Y ) }.
% 48.25/48.66 substitution0:
% 48.25/48.66 X := X
% 48.25/48.66 Y := Y
% 48.25/48.66 Z := U
% 48.25/48.66 T := W
% 48.25/48.66 U := Z
% 48.25/48.66 W := T
% 48.25/48.66 end
% 48.25/48.66 substitution1:
% 48.25/48.66 X := Z
% 48.25/48.66 Y := T
% 48.25/48.66 Z := X
% 48.25/48.66 T := Y
% 48.25/48.66 end
% 48.25/48.66
% 48.25/48.66 subsumption: (535) {G1,W15,D2,L3,V6,M3} R(24,23) { ! cong( X, Y, Z, T ),
% 48.25/48.66 cong( U, W, Z, T ), ! cong( X, Y, U, W ) }.
% 48.25/48.66 parent0: (83049) {G1,W15,D2,L3,V6,M3} { ! cong( Z, T, U, W ), cong( X, Y,
% 48.25/48.66 U, W ), ! cong( Z, T, X, Y ) }.
% 48.25/48.66 substitution0:
% 48.25/48.66 X := U
% 48.25/48.66 Y := W
% 48.25/48.66 Z := X
% 48.25/48.66 T := Y
% 48.25/48.66 U := Z
% 48.25/48.66 W := T
% 48.25/48.66 end
% 48.25/48.66 permutation0:
% 48.25/48.66 0 ==> 0
% 48.25/48.66 1 ==> 1
% 48.25/48.66 2 ==> 2
% 48.25/48.66 end
% 48.25/48.66
% 48.25/48.66 resolution: (83054) {G1,W15,D2,L3,V6,M3} { ! cong( X, Y, Z, T ), cong( X,
% 48.25/48.66 Y, U, W ), ! cong( U, W, Z, T ) }.
% 48.25/48.66 parent0[1]: (24) {G0,W15,D2,L3,V6,M3} I { ! cong( X, Y, U, W ), ! cong( U,
% 48.25/48.66 W, Z, T ), cong( X, Y, Z, T ) }.
% 48.25/48.66 parent1[1]: (23) {G0,W10,D2,L2,V4,M2} I { ! cong( X, Y, Z, T ), cong( Z, T
% 48.25/48.66 , X, Y ) }.
% 48.25/48.66 substitution0:
% 48.25/48.66 X := X
% 48.25/48.66 Y := Y
% 48.25/48.66 Z := U
% 48.25/48.66 T := W
% 48.25/48.66 U := Z
% 48.25/48.66 W := T
% 48.25/48.66 end
% 48.25/48.66 substitution1:
% 48.25/48.66 X := U
% 48.25/48.66 Y := W
% 48.25/48.66 Z := Z
% 48.25/48.66 T := T
% 48.25/48.66 end
% 48.25/48.66
% 48.25/48.66 subsumption: (536) {G1,W15,D2,L3,V6,M3} R(24,23) { ! cong( X, Y, Z, T ),
% 48.25/48.66 cong( X, Y, U, W ), ! cong( U, W, Z, T ) }.
% 48.25/48.66 parent0: (83054) {G1,W15,D2,L3,V6,M3} { ! cong( X, Y, Z, T ), cong( X, Y,
% 48.25/48.66 U, W ), ! cong( U, W, Z, T ) }.
% 48.25/48.66 substitution0:
% 48.25/48.66 X := X
% 48.25/48.66 Y := Y
% 48.25/48.66 Z := Z
% 48.25/48.66 T := T
% 48.25/48.66 U := U
% 48.25/48.66 W := W
% 48.25/48.66 end
% 48.25/48.66 permutation0:
% 48.25/48.66 0 ==> 0
% 48.25/48.66 1 ==> 1
% 48.25/48.66 2 ==> 2
% 48.25/48.66 end
% 48.25/48.66
% 48.25/48.66 factor: (83057) {G1,W10,D2,L2,V4,M2} { ! cong( X, Y, Z, T ), cong( X, Y, X
% 48.25/48.66 , Y ) }.
% 48.25/48.66 parent0[0, 2]: (536) {G1,W15,D2,L3,V6,M3} R(24,23) { ! cong( X, Y, Z, T ),
% 48.25/48.66 cong( X, Y, U, W ), ! cong( U, W, Z, T ) }.
% 48.25/48.66 substitution0:
% 48.25/48.66 X := X
% 48.25/48.66 Y := Y
% 48.25/48.66 Z := Z
% 48.25/48.66 T := T
% 48.25/48.66 U := X
% 48.25/48.66 W := Y
% 48.25/48.66 end
% 48.25/48.66
% 48.25/48.66 subsumption: (547) {G2,W10,D2,L2,V4,M2} F(536) { ! cong( X, Y, Z, T ), cong
% 48.25/48.66 ( X, Y, X, Y ) }.
% 48.25/48.66 parent0: (83057) {G1,W10,D2,L2,V4,M2} { ! cong( X, Y, Z, T ), cong( X, Y,
% 48.25/48.66 X, Y ) }.
% 48.25/48.66 substitution0:
% 48.25/48.66 X := X
% 48.25/48.66 Y := Y
% 48.25/48.66 Z := Z
% 48.25/48.66 T := T
% 48.25/48.66 end
% 48.25/48.66 permutation0:
% 48.25/48.66 0 ==> 0
% 48.25/48.66 1 ==> 1
% 48.25/48.66 end
% 48.25/48.66
% 48.25/48.66 factor: (83058) {G1,W10,D2,L2,V4,M2} { ! cong( X, Y, Z, T ), cong( Z, T, Z
% 48.25/48.66 , T ) }.
% 48.25/48.66 parent0[0, 2]: (535) {G1,W15,D2,L3,V6,M3} R(24,23) { ! cong( X, Y, Z, T ),
% 48.25/48.66 cong( U, W, Z, T ), ! cong( X, Y, U, W ) }.
% 48.25/48.66 substitution0:
% 48.25/48.66 X := X
% 48.25/48.66 Y := Y
% 48.25/48.66 Z := Z
% 48.25/48.66 T := T
% 48.25/48.66 U := Z
% 48.25/48.66 W := T
% 48.25/48.66 end
% 48.25/48.66
% 48.25/48.66 subsumption: (548) {G2,W10,D2,L2,V4,M2} F(535) { ! cong( X, Y, Z, T ), cong
% 48.25/48.66 ( Z, T, Z, T ) }.
% 48.25/48.66 parent0: (83058) {G1,W10,D2,L2,V4,M2} { ! cong( X, Y, Z, T ), cong( Z, T,
% 48.25/48.66 Z, T ) }.
% 48.25/48.66 substitution0:
% 48.25/48.66 X := X
% 48.25/48.66 Y := Y
% 48.25/48.66 Z := Z
% 48.25/48.66 T := T
% 48.25/48.66 end
% 48.25/48.66 permutation0:
% 48.25/48.66 0 ==> 0
% 48.25/48.66 1 ==> 1
% 48.25/48.66 end
% 48.25/48.66
% 48.25/48.66 resolution: (83060) {G1,W8,D2,L2,V3,M2} { coll( Y, X, X ), ! coll( X, Z, Y
% 48.25/48.66 ) }.
% 48.25/48.66 parent0[0]: (1) {G0,W8,D2,L2,V3,M2} I { ! coll( X, Y, Z ), coll( Y, X, Z )
% 48.25/48.66 }.
% 48.25/48.66 parent1[0]: (373) {G4,W8,D2,L2,V3,M2} F(361) { coll( X, Y, X ), ! coll( X,
% 48.25/48.66 Z, Y ) }.
% 48.25/48.66 substitution0:
% 48.25/48.66 X := X
% 48.25/48.66 Y := Y
% 48.25/48.66 Z := X
% 48.25/48.66 end
% 48.25/48.66 substitution1:
% 48.25/48.66 X := X
% 48.25/48.66 Y := Y
% 48.25/48.66 Z := Z
% 48.25/48.66 end
% 48.25/48.66
% 48.25/48.66 subsumption: (579) {G5,W8,D2,L2,V3,M2} R(373,1) { ! coll( X, Y, Z ), coll(
% 48.25/48.66 Z, X, X ) }.
% 48.25/48.66 parent0: (83060) {G1,W8,D2,L2,V3,M2} { coll( Y, X, X ), ! coll( X, Z, Y )
% 48.25/48.66 }.
% 48.25/48.66 substitution0:
% 48.25/48.66 X := X
% 48.25/48.66 Y := Z
% 48.25/48.66 Z := Y
% 48.25/48.66 end
% 48.25/48.66 permutation0:
% 48.25/48.66 0 ==> 1
% 48.25/48.66 1 ==> 0
% 48.25/48.66 end
% 48.25/48.66
% 48.25/48.66 resolution: (83061) {G1,W8,D2,L2,V3,M2} { coll( Z, X, X ), ! coll( Y, X, Z
% 48.25/48.66 ) }.
% 48.25/48.66 parent0[0]: (579) {G5,W8,D2,L2,V3,M2} R(373,1) { ! coll( X, Y, Z ), coll( Z
% 48.25/48.66 , X, X ) }.
% 48.25/48.66 parent1[1]: (1) {G0,W8,D2,L2,V3,M2} I { ! coll( X, Y, Z ), coll( Y, X, Z )
% 48.25/48.66 }.
% 48.25/48.66 substitution0:
% 48.25/48.66 X := X
% 48.25/48.66 Y := Y
% 48.25/48.66 Z := Z
% 48.25/48.66 end
% 48.25/48.66 substitution1:
% 48.25/48.66 X := Y
% 48.25/48.66 Y := X
% 48.25/48.66 Z := Z
% 48.25/48.66 end
% 48.25/48.66
% 48.25/48.66 subsumption: (588) {G6,W8,D2,L2,V3,M2} R(579,1) { coll( X, Y, Y ), ! coll(
% 48.25/48.66 Z, Y, X ) }.
% 48.25/48.66 parent0: (83061) {G1,W8,D2,L2,V3,M2} { coll( Z, X, X ), ! coll( Y, X, Z )
% 48.25/48.66 }.
% 48.25/48.66 substitution0:
% 48.25/48.66 X := Y
% 48.25/48.66 Y := Z
% 48.25/48.66 Z := X
% 48.25/48.66 end
% 48.25/48.66 permutation0:
% 48.25/48.66 0 ==> 0
% 48.25/48.66 1 ==> 1
% 48.25/48.66 end
% 48.25/48.66
% 48.25/48.66 resolution: (83062) {G1,W8,D2,L2,V3,M2} { coll( Z, X, X ), ! coll( X, Z, Y
% 48.25/48.66 ) }.
% 48.25/48.66 parent0[0]: (579) {G5,W8,D2,L2,V3,M2} R(373,1) { ! coll( X, Y, Z ), coll( Z
% 48.25/48.66 , X, X ) }.
% 48.25/48.66 parent1[1]: (0) {G0,W8,D2,L2,V3,M2} I { ! coll( X, Y, Z ), coll( X, Z, Y )
% 48.25/48.66 }.
% 48.25/48.66 substitution0:
% 48.25/48.66 X := X
% 48.25/48.66 Y := Y
% 48.25/48.66 Z := Z
% 48.25/48.66 end
% 48.25/48.66 substitution1:
% 48.25/48.66 X := X
% 48.25/48.66 Y := Z
% 48.25/48.66 Z := Y
% 48.25/48.66 end
% 48.25/48.66
% 48.25/48.66 subsumption: (590) {G6,W8,D2,L2,V3,M2} R(579,0) { coll( X, Y, Y ), ! coll(
% 48.25/48.66 Y, X, Z ) }.
% 48.25/48.66 parent0: (83062) {G1,W8,D2,L2,V3,M2} { coll( Z, X, X ), ! coll( X, Z, Y )
% 48.25/48.66 }.
% 48.25/48.66 substitution0:
% 48.25/48.66 X := Y
% 48.25/48.66 Y := Z
% 48.25/48.66 Z := X
% 48.25/48.66 end
% 48.25/48.66 permutation0:
% 48.25/48.66 0 ==> 0
% 48.25/48.66 1 ==> 1
% 48.25/48.66 end
% 48.25/48.66
% 48.25/48.66 resolution: (83064) {G6,W8,D2,L2,V3,M2} { coll( Y, X, X ), ! coll( Z, Y, X
% 48.25/48.66 ) }.
% 48.25/48.66 parent0[0]: (579) {G5,W8,D2,L2,V3,M2} R(373,1) { ! coll( X, Y, Z ), coll( Z
% 48.25/48.66 , X, X ) }.
% 48.25/48.66 parent1[0]: (588) {G6,W8,D2,L2,V3,M2} R(579,1) { coll( X, Y, Y ), ! coll( Z
% 48.25/48.66 , Y, X ) }.
% 48.25/48.66 substitution0:
% 48.25/48.66 X := X
% 48.25/48.66 Y := Y
% 48.25/48.66 Z := Y
% 48.25/48.66 end
% 48.25/48.66 substitution1:
% 48.25/48.66 X := X
% 48.25/48.66 Y := Y
% 48.25/48.66 Z := Z
% 48.25/48.66 end
% 48.25/48.66
% 48.25/48.66 subsumption: (591) {G7,W8,D2,L2,V3,M2} R(588,579) { ! coll( X, Y, Z ), coll
% 48.25/48.66 ( Y, Z, Z ) }.
% 48.25/48.66 parent0: (83064) {G6,W8,D2,L2,V3,M2} { coll( Y, X, X ), ! coll( Z, Y, X )
% 48.25/48.66 }.
% 48.25/48.66 substitution0:
% 48.25/48.66 X := Z
% 48.25/48.66 Y := Y
% 48.25/48.66 Z := X
% 48.25/48.66 end
% 48.25/48.66 permutation0:
% 48.25/48.66 0 ==> 1
% 48.25/48.66 1 ==> 0
% 48.25/48.66 end
% 48.25/48.66
% 48.25/48.66 resolution: (83065) {G1,W8,D2,L2,V3,M2} { coll( Y, Z, Z ), ! midp( X, Y, Z
% 48.25/48.66 ) }.
% 48.25/48.66 parent0[0]: (591) {G7,W8,D2,L2,V3,M2} R(588,579) { ! coll( X, Y, Z ), coll
% 48.25/48.66 ( Y, Z, Z ) }.
% 48.25/48.66 parent1[1]: (69) {G0,W8,D2,L2,V3,M2} I { ! midp( X, Y, Z ), coll( X, Y, Z )
% 48.25/48.66 }.
% 48.25/48.66 substitution0:
% 48.25/48.66 X := X
% 48.25/48.66 Y := Y
% 48.25/48.66 Z := Z
% 48.25/48.66 end
% 48.25/48.66 substitution1:
% 48.25/48.66 X := X
% 48.25/48.66 Y := Y
% 48.25/48.66 Z := Z
% 48.25/48.66 end
% 48.25/48.66
% 48.25/48.66 subsumption: (595) {G8,W8,D2,L2,V3,M2} R(591,69) { coll( X, Y, Y ), ! midp
% 48.25/48.66 ( Z, X, Y ) }.
% 48.25/48.66 parent0: (83065) {G1,W8,D2,L2,V3,M2} { coll( Y, Z, Z ), ! midp( X, Y, Z )
% 48.25/48.66 }.
% 48.25/48.66 substitution0:
% 48.25/48.66 X := Z
% 48.25/48.66 Y := X
% 48.25/48.66 Z := Y
% 48.25/48.66 end
% 48.25/48.66 permutation0:
% 48.25/48.66 0 ==> 0
% 48.25/48.66 1 ==> 1
% 48.25/48.66 end
% 48.25/48.66
% 48.25/48.66 resolution: (83066) {G5,W8,D2,L2,V3,M2} { coll( X, Y, X ), ! midp( Z, X, Y
% 48.25/48.66 ) }.
% 48.25/48.66 parent0[1]: (373) {G4,W8,D2,L2,V3,M2} F(361) { coll( X, Y, X ), ! coll( X,
% 48.25/48.66 Z, Y ) }.
% 48.25/48.66 parent1[0]: (595) {G8,W8,D2,L2,V3,M2} R(591,69) { coll( X, Y, Y ), ! midp(
% 48.25/48.66 Z, X, Y ) }.
% 48.25/48.66 substitution0:
% 48.25/48.66 X := X
% 48.25/48.66 Y := Y
% 48.25/48.66 Z := Y
% 48.25/48.66 end
% 48.25/48.66 substitution1:
% 48.25/48.66 X := X
% 48.25/48.66 Y := Y
% 48.25/48.66 Z := Z
% 48.25/48.66 end
% 48.25/48.66
% 48.25/48.66 subsumption: (596) {G9,W8,D2,L2,V3,M2} R(595,373) { ! midp( X, Y, Z ), coll
% 48.25/48.66 ( Y, Z, Y ) }.
% 48.25/48.66 parent0: (83066) {G5,W8,D2,L2,V3,M2} { coll( X, Y, X ), ! midp( Z, X, Y )
% 48.25/48.66 }.
% 48.25/48.66 substitution0:
% 48.25/48.66 X := Y
% 48.25/48.66 Y := Z
% 48.25/48.66 Z := X
% 48.25/48.66 end
% 48.25/48.66 permutation0:
% 48.25/48.66 0 ==> 1
% 48.25/48.66 1 ==> 0
% 48.25/48.66 end
% 48.25/48.66
% 48.25/48.66 resolution: (83067) {G1,W8,D2,L2,V3,M2} { coll( X, X, Y ), ! midp( Z, X, Y
% 48.25/48.66 ) }.
% 48.25/48.66 parent0[0]: (0) {G0,W8,D2,L2,V3,M2} I { ! coll( X, Y, Z ), coll( X, Z, Y )
% 48.25/48.66 }.
% 48.25/48.66 parent1[1]: (596) {G9,W8,D2,L2,V3,M2} R(595,373) { ! midp( X, Y, Z ), coll
% 48.25/48.66 ( Y, Z, Y ) }.
% 48.25/48.66 substitution0:
% 48.25/48.66 X := X
% 48.25/48.66 Y := Y
% 48.25/48.66 Z := X
% 48.25/48.66 end
% 48.25/48.66 substitution1:
% 48.25/48.66 X := Z
% 48.25/48.66 Y := X
% 48.25/48.66 Z := Y
% 48.25/48.66 end
% 48.25/48.66
% 48.25/48.66 subsumption: (611) {G10,W8,D2,L2,V3,M2} R(596,0) { ! midp( X, Y, Z ), coll
% 48.25/48.66 ( Y, Y, Z ) }.
% 48.25/48.66 parent0: (83067) {G1,W8,D2,L2,V3,M2} { coll( X, X, Y ), ! midp( Z, X, Y )
% 48.25/48.66 }.
% 48.25/48.66 substitution0:
% 48.25/48.66 X := Y
% 48.25/48.66 Y := Z
% 48.25/48.66 Z := X
% 48.25/48.66 end
% 48.25/48.66 permutation0:
% 48.25/48.66 0 ==> 1
% 48.25/48.66 1 ==> 0
% 48.25/48.66 end
% 48.25/48.66
% 48.25/48.66 resolution: (83068) {G7,W8,D2,L2,V3,M2} { coll( X, Y, Y ), ! coll( X, Y, Z
% 48.25/48.66 ) }.
% 48.25/48.66 parent0[1]: (590) {G6,W8,D2,L2,V3,M2} R(579,0) { coll( X, Y, Y ), ! coll( Y
% 48.25/48.66 , X, Z ) }.
% 48.25/48.66 parent1[0]: (590) {G6,W8,D2,L2,V3,M2} R(579,0) { coll( X, Y, Y ), ! coll( Y
% 48.25/48.66 , X, Z ) }.
% 48.25/48.66 substitution0:
% 48.25/48.66 X := X
% 48.25/48.66 Y := Y
% 48.25/48.66 Z := X
% 48.25/48.66 end
% 48.25/48.66 substitution1:
% 48.25/48.66 X := Y
% 48.25/48.66 Y := X
% 48.25/48.66 Z := Z
% 48.25/48.66 end
% 48.25/48.66
% 48.25/48.66 subsumption: (643) {G7,W8,D2,L2,V3,M2} R(590,590) { ! coll( X, Y, Z ), coll
% 48.25/48.66 ( X, Y, Y ) }.
% 48.25/48.66 parent0: (83068) {G7,W8,D2,L2,V3,M2} { coll( X, Y, Y ), ! coll( X, Y, Z )
% 48.25/48.66 }.
% 48.25/48.66 substitution0:
% 48.25/48.66 X := X
% 48.25/48.66 Y := Y
% 48.25/48.66 Z := Z
% 48.25/48.66 end
% 48.25/48.66 permutation0:
% 48.25/48.66 0 ==> 1
% 48.25/48.66 1 ==> 0
% 48.25/48.66 end
% 48.25/48.66
% 48.25/48.66 resolution: (83072) {G1,W12,D2,L3,V4,M3} { ! coll( X, Y, Z ), coll( Z, Y,
% 48.25/48.66 X ), ! coll( X, Y, T ) }.
% 48.25/48.66 parent0[1]: (2) {G0,W12,D2,L3,V4,M3} I { ! coll( X, T, Y ), ! coll( X, T, Z
% 48.25/48.66 ), coll( Y, Z, X ) }.
% 48.25/48.66 parent1[1]: (643) {G7,W8,D2,L2,V3,M2} R(590,590) { ! coll( X, Y, Z ), coll
% 48.25/48.66 ( X, Y, Y ) }.
% 48.25/48.66 substitution0:
% 48.25/48.66 X := X
% 48.25/48.66 Y := Z
% 48.25/48.66 Z := Y
% 48.25/48.66 T := Y
% 48.25/48.66 end
% 48.25/48.66 substitution1:
% 48.25/48.66 X := X
% 48.25/48.66 Y := Y
% 48.25/48.66 Z := T
% 48.25/48.66 end
% 48.25/48.66
% 48.25/48.66 subsumption: (662) {G8,W12,D2,L3,V4,M3} R(643,2) { ! coll( X, Y, Z ), !
% 48.25/48.66 coll( X, Y, T ), coll( T, Y, X ) }.
% 48.25/48.66 parent0: (83072) {G1,W12,D2,L3,V4,M3} { ! coll( X, Y, Z ), coll( Z, Y, X )
% 48.25/48.66 , ! coll( X, Y, T ) }.
% 48.25/48.66 substitution0:
% 48.25/48.66 X := X
% 48.25/48.66 Y := Y
% 48.25/48.66 Z := T
% 48.25/48.66 T := Z
% 48.25/48.66 end
% 48.25/48.66 permutation0:
% 48.25/48.66 0 ==> 1
% 48.25/48.66 1 ==> 2
% 48.25/48.66 2 ==> 0
% 48.25/48.66 end
% 48.25/48.66
% 48.25/48.66 factor: (83075) {G8,W8,D2,L2,V3,M2} { ! coll( X, Y, Z ), coll( Z, Y, X )
% 48.25/48.66 }.
% 48.25/48.66 parent0[0, 1]: (662) {G8,W12,D2,L3,V4,M3} R(643,2) { ! coll( X, Y, Z ), !
% 48.25/48.66 coll( X, Y, T ), coll( T, Y, X ) }.
% 48.25/48.66 substitution0:
% 48.25/48.66 X := X
% 48.25/48.66 Y := Y
% 48.25/48.66 Z := Z
% 48.25/48.66 T := Z
% 48.25/48.66 end
% 48.25/48.66
% 48.25/48.66 subsumption: (663) {G9,W8,D2,L2,V3,M2} F(662) { ! coll( X, Y, Z ), coll( Z
% 48.25/48.66 , Y, X ) }.
% 48.25/48.66 parent0: (83075) {G8,W8,D2,L2,V3,M2} { ! coll( X, Y, Z ), coll( Z, Y, X )
% 48.25/48.66 }.
% 48.25/48.66 substitution0:
% 48.25/48.66 X := X
% 48.25/48.66 Y := Y
% 48.25/48.66 Z := Z
% 48.25/48.66 end
% 48.25/48.66 permutation0:
% 48.25/48.66 0 ==> 0
% 48.25/48.66 1 ==> 1
% 48.25/48.66 end
% 48.25/48.66
% 48.25/48.66 resolution: (83076) {G1,W8,D2,L2,V3,M2} { coll( Z, Y, X ), ! midp( X, Y, Z
% 48.25/48.66 ) }.
% 48.25/48.66 parent0[0]: (663) {G9,W8,D2,L2,V3,M2} F(662) { ! coll( X, Y, Z ), coll( Z,
% 48.25/48.66 Y, X ) }.
% 48.25/48.66 parent1[1]: (69) {G0,W8,D2,L2,V3,M2} I { ! midp( X, Y, Z ), coll( X, Y, Z )
% 48.25/48.66 }.
% 48.25/48.66 substitution0:
% 48.25/48.66 X := X
% 48.25/48.66 Y := Y
% 48.25/48.66 Z := Z
% 48.25/48.66 end
% 48.25/48.66 substitution1:
% 48.25/48.66 X := X
% 48.25/48.66 Y := Y
% 48.25/48.66 Z := Z
% 48.25/48.66 end
% 48.25/48.66
% 48.25/48.66 subsumption: (671) {G10,W8,D2,L2,V3,M2} R(663,69) { coll( X, Y, Z ), ! midp
% 48.25/48.66 ( Z, Y, X ) }.
% 48.25/48.66 parent0: (83076) {G1,W8,D2,L2,V3,M2} { coll( Z, Y, X ), ! midp( X, Y, Z )
% 48.25/48.66 }.
% 48.25/48.66 substitution0:
% 48.25/48.66 X := Z
% 48.25/48.66 Y := Y
% 48.25/48.66 Z := X
% 48.25/48.66 end
% 48.25/48.66 permutation0:
% 48.25/48.66 0 ==> 0
% 48.25/48.66 1 ==> 1
% 48.25/48.66 end
% 48.25/48.66
% 48.25/48.66 resolution: (83077) {G1,W25,D2,L5,V4,M5} { ! cyclic( X, Y, Z, X ), !
% 48.25/48.66 cyclic( X, Y, Z, Y ), ! cyclic( X, Y, Z, T ), cong( X, Y, X, Y ), !
% 48.25/48.66 cyclic( X, Y, Z, T ) }.
% 48.25/48.66 parent0[3]: (43) {G0,W29,D2,L5,V6,M5} I { ! cyclic( X, Y, U, Z ), ! cyclic
% 48.25/48.66 ( X, Y, U, T ), ! cyclic( X, Y, U, W ), ! eqangle( U, X, U, Y, W, Z, W, T
% 48.25/48.66 ), cong( X, Y, Z, T ) }.
% 48.25/48.66 parent1[1]: (40) {G0,W14,D2,L2,V4,M2} I { ! cyclic( X, Y, Z, T ), eqangle(
% 48.25/48.66 Z, X, Z, Y, T, X, T, Y ) }.
% 48.25/48.66 substitution0:
% 48.25/48.66 X := X
% 48.25/48.66 Y := Y
% 48.25/48.66 Z := X
% 48.25/48.66 T := Y
% 48.25/48.66 U := Z
% 48.25/48.66 W := T
% 48.25/48.66 end
% 48.25/48.66 substitution1:
% 48.25/48.66 X := X
% 48.25/48.66 Y := Y
% 48.25/48.66 Z := Z
% 48.25/48.66 T := T
% 48.25/48.66 end
% 48.25/48.66
% 48.25/48.66 factor: (83079) {G1,W20,D2,L4,V3,M4} { ! cyclic( X, Y, Z, X ), ! cyclic( X
% 48.25/48.66 , Y, Z, Y ), cong( X, Y, X, Y ), ! cyclic( X, Y, Z, X ) }.
% 48.25/48.66 parent0[0, 2]: (83077) {G1,W25,D2,L5,V4,M5} { ! cyclic( X, Y, Z, X ), !
% 48.25/48.66 cyclic( X, Y, Z, Y ), ! cyclic( X, Y, Z, T ), cong( X, Y, X, Y ), !
% 48.25/48.66 cyclic( X, Y, Z, T ) }.
% 48.25/48.66 substitution0:
% 48.25/48.66 X := X
% 48.25/48.66 Y := Y
% 48.25/48.66 Z := Z
% 48.25/48.66 T := X
% 48.25/48.66 end
% 48.25/48.66
% 48.25/48.66 subsumption: (981) {G1,W20,D2,L4,V4,M4} R(43,40);f { ! cyclic( X, Y, Z, X )
% 48.25/48.66 , ! cyclic( X, Y, Z, Y ), ! cyclic( X, Y, Z, T ), cong( X, Y, X, Y ) }.
% 48.25/48.66 parent0: (83079) {G1,W20,D2,L4,V3,M4} { ! cyclic( X, Y, Z, X ), ! cyclic(
% 48.25/48.66 X, Y, Z, Y ), cong( X, Y, X, Y ), ! cyclic( X, Y, Z, X ) }.
% 48.25/48.66 substitution0:
% 48.25/48.66 X := X
% 48.25/48.66 Y := Y
% 48.25/48.66 Z := Z
% 48.25/48.66 end
% 48.25/48.66 permutation0:
% 48.25/48.66 0 ==> 0
% 48.25/48.66 1 ==> 1
% 48.25/48.66 2 ==> 3
% 48.25/48.66 3 ==> 0
% 48.25/48.66 end
% 48.25/48.66
% 48.25/48.66 factor: (83084) {G1,W15,D2,L3,V3,M3} { ! cyclic( X, Y, Z, X ), ! cyclic( X
% 48.25/48.66 , Y, Z, Y ), cong( X, Y, X, Y ) }.
% 48.25/48.66 parent0[0, 2]: (981) {G1,W20,D2,L4,V4,M4} R(43,40);f { ! cyclic( X, Y, Z, X
% 48.25/48.66 ), ! cyclic( X, Y, Z, Y ), ! cyclic( X, Y, Z, T ), cong( X, Y, X, Y )
% 48.25/48.66 }.
% 48.25/48.66 substitution0:
% 48.25/48.66 X := X
% 48.25/48.66 Y := Y
% 48.25/48.66 Z := Z
% 48.25/48.66 T := X
% 48.25/48.66 end
% 48.25/48.66
% 48.25/48.66 subsumption: (1013) {G2,W15,D2,L3,V3,M3} F(981) { ! cyclic( X, Y, Z, X ), !
% 48.25/48.66 cyclic( X, Y, Z, Y ), cong( X, Y, X, Y ) }.
% 48.25/48.66 parent0: (83084) {G1,W15,D2,L3,V3,M3} { ! cyclic( X, Y, Z, X ), ! cyclic(
% 48.25/48.66 X, Y, Z, Y ), cong( X, Y, X, Y ) }.
% 48.25/48.66 substitution0:
% 48.25/48.66 X := X
% 48.25/48.66 Y := Y
% 48.25/48.66 Z := Z
% 48.25/48.66 end
% 48.25/48.66 permutation0:
% 48.25/48.66 0 ==> 0
% 48.25/48.66 1 ==> 1
% 48.25/48.66 2 ==> 2
% 48.25/48.66 end
% 48.25/48.66
% 48.25/48.66 resolution: (83086) {G1,W9,D2,L2,V2,M2} { ! midp( X, skol22, Y ), para(
% 48.25/48.66 skol27, X, skol20, Y ) }.
% 48.25/48.66 parent0[0]: (44) {G0,W13,D2,L3,V5,M3} I { ! midp( Z, U, X ), ! midp( T, U,
% 48.25/48.66 Y ), para( Z, T, X, Y ) }.
% 48.25/48.66 parent1[0]: (118) {G0,W4,D2,L1,V0,M1} I { midp( skol27, skol22, skol20 )
% 48.25/48.66 }.
% 48.25/48.66 substitution0:
% 48.25/48.66 X := skol20
% 48.25/48.66 Y := Y
% 48.25/48.66 Z := skol27
% 48.25/48.66 T := X
% 48.25/48.66 U := skol22
% 48.25/48.66 end
% 48.25/48.66 substitution1:
% 48.25/48.66 end
% 48.25/48.66
% 48.25/48.66 subsumption: (1046) {G1,W9,D2,L2,V2,M2} R(44,118) { ! midp( X, skol22, Y )
% 48.25/48.66 , para( skol27, X, skol20, Y ) }.
% 48.25/48.66 parent0: (83086) {G1,W9,D2,L2,V2,M2} { ! midp( X, skol22, Y ), para(
% 48.25/48.66 skol27, X, skol20, Y ) }.
% 48.25/48.66 substitution0:
% 48.25/48.66 X := X
% 48.25/48.66 Y := Y
% 48.25/48.66 end
% 48.25/48.66 permutation0:
% 48.25/48.66 0 ==> 0
% 48.25/48.66 1 ==> 1
% 48.25/48.66 end
% 48.25/48.66
% 48.25/48.66 resolution: (83088) {G1,W12,D2,L3,V1,M3} { ! midp( skol26, X, skol25 ), !
% 48.25/48.66 coll( skol24, X, skol27 ), midp( skol24, X, skol27 ) }.
% 48.25/48.66 parent0[1]: (45) {G0,W17,D2,L4,V5,M4} I { ! midp( U, X, T ), ! para( U, Z,
% 48.25/48.66 T, Y ), ! coll( Z, X, Y ), midp( Z, X, Y ) }.
% 48.25/48.66 parent1[0]: (264) {G6,W5,D2,L1,V0,M1} R(261,3) { para( skol26, skol24,
% 48.25/48.66 skol25, skol27 ) }.
% 48.25/48.66 substitution0:
% 48.25/48.66 X := X
% 48.25/48.66 Y := skol27
% 48.25/48.66 Z := skol24
% 48.25/48.66 T := skol25
% 48.25/48.66 U := skol26
% 48.25/48.66 end
% 48.25/48.66 substitution1:
% 48.25/48.66 end
% 48.25/48.66
% 48.25/48.66 subsumption: (1177) {G7,W12,D2,L3,V1,M3} R(45,264) { ! midp( skol26, X,
% 48.25/48.66 skol25 ), ! coll( skol24, X, skol27 ), midp( skol24, X, skol27 ) }.
% 48.25/48.66 parent0: (83088) {G1,W12,D2,L3,V1,M3} { ! midp( skol26, X, skol25 ), !
% 48.25/48.66 coll( skol24, X, skol27 ), midp( skol24, X, skol27 ) }.
% 48.25/48.66 substitution0:
% 48.25/48.66 X := X
% 48.25/48.66 end
% 48.25/48.66 permutation0:
% 48.25/48.66 0 ==> 0
% 48.25/48.66 1 ==> 1
% 48.25/48.66 2 ==> 2
% 48.25/48.66 end
% 48.25/48.66
% 48.25/48.66 resolution: (83089) {G1,W15,D2,L3,V4,M3} { ! circle( X, Y, Z, T ), perp( X
% 48.25/48.66 , Y, Y, Y ), ! cyclic( Y, Z, Y, T ) }.
% 48.25/48.66 parent0[1]: (49) {G0,W19,D2,L3,V5,M3} I { ! circle( Y, X, T, U ), ! eqangle
% 48.25/48.66 ( X, Z, X, T, U, X, U, T ), perp( Y, X, X, Z ) }.
% 48.25/48.66 parent1[1]: (40) {G0,W14,D2,L2,V4,M2} I { ! cyclic( X, Y, Z, T ), eqangle(
% 48.25/48.66 Z, X, Z, Y, T, X, T, Y ) }.
% 48.25/48.66 substitution0:
% 48.25/48.66 X := Y
% 48.25/48.66 Y := X
% 48.25/48.66 Z := Y
% 48.25/48.66 T := Z
% 48.25/48.66 U := T
% 48.25/48.66 end
% 48.25/48.66 substitution1:
% 48.25/48.66 X := Y
% 48.25/48.66 Y := Z
% 48.25/48.66 Z := Y
% 48.25/48.66 T := T
% 48.25/48.66 end
% 48.25/48.66
% 48.25/48.66 subsumption: (1325) {G1,W15,D2,L3,V4,M3} R(49,40) { ! circle( X, Y, Z, T )
% 48.25/48.66 , perp( X, Y, Y, Y ), ! cyclic( Y, Z, Y, T ) }.
% 48.25/48.66 parent0: (83089) {G1,W15,D2,L3,V4,M3} { ! circle( X, Y, Z, T ), perp( X, Y
% 48.25/48.66 , Y, Y ), ! cyclic( Y, Z, Y, T ) }.
% 48.25/48.66 substitution0:
% 48.25/48.66 X := X
% 48.25/48.66 Y := Y
% 48.25/48.66 Z := Z
% 48.25/48.66 T := T
% 48.25/48.66 end
% 48.25/48.66 permutation0:
% 48.25/48.66 0 ==> 0
% 48.25/48.66 1 ==> 1
% 48.25/48.66 2 ==> 2
% 48.25/48.66 end
% 48.25/48.66
% 48.25/48.66 resolution: (83091) {G1,W15,D2,L3,V4,M3} { ! cong( X, Y, Z, Y ), perp( X,
% 48.25/48.66 Z, Y, T ), ! cong( X, T, T, Z ) }.
% 48.25/48.66 parent0[1]: (56) {G0,W15,D2,L3,V4,M3} I { ! cong( X, Z, Y, Z ), ! cong( X,
% 48.25/48.66 T, Y, T ), perp( X, Y, Z, T ) }.
% 48.25/48.66 parent1[1]: (22) {G0,W10,D2,L2,V4,M2} I { ! cong( X, Y, Z, T ), cong( X, Y
% 48.25/48.66 , T, Z ) }.
% 48.25/48.66 substitution0:
% 48.25/48.66 X := X
% 48.25/48.66 Y := Z
% 48.25/48.66 Z := Y
% 48.25/48.66 T := T
% 48.25/48.66 end
% 48.25/48.66 substitution1:
% 48.25/48.66 X := X
% 48.25/48.66 Y := T
% 48.25/48.66 Z := T
% 48.25/48.66 T := Z
% 48.25/48.66 end
% 48.25/48.66
% 48.25/48.66 subsumption: (1725) {G1,W15,D2,L3,V4,M3} R(56,22) { ! cong( X, Y, Z, Y ),
% 48.25/48.66 perp( X, Z, Y, T ), ! cong( X, T, T, Z ) }.
% 48.25/48.66 parent0: (83091) {G1,W15,D2,L3,V4,M3} { ! cong( X, Y, Z, Y ), perp( X, Z,
% 48.25/48.66 Y, T ), ! cong( X, T, T, Z ) }.
% 48.25/48.66 substitution0:
% 48.25/48.66 X := X
% 48.25/48.66 Y := Y
% 48.25/48.66 Z := Z
% 48.25/48.66 T := T
% 48.25/48.66 end
% 48.25/48.66 permutation0:
% 48.25/48.66 0 ==> 0
% 48.25/48.66 1 ==> 1
% 48.25/48.66 2 ==> 2
% 48.25/48.66 end
% 48.25/48.66
% 48.25/48.66 resolution: (83094) {G1,W9,D2,L2,V2,M2} { ! midp( skol27, X, Y ), para( X
% 48.25/48.66 , skol20, Y, skol22 ) }.
% 48.25/48.66 parent0[1]: (63) {G0,W13,D2,L3,V5,M3} I { ! midp( U, X, Y ), ! midp( U, Z,
% 48.25/48.66 T ), para( X, Z, Y, T ) }.
% 48.25/48.66 parent1[0]: (345) {G1,W4,D2,L1,V0,M1} R(10,118) { midp( skol27, skol20,
% 48.25/48.66 skol22 ) }.
% 48.25/48.66 substitution0:
% 48.25/48.66 X := X
% 48.25/48.66 Y := Y
% 48.25/48.66 Z := skol20
% 48.25/48.66 T := skol22
% 48.25/48.66 U := skol27
% 48.25/48.66 end
% 48.25/48.66 substitution1:
% 48.25/48.66 end
% 48.25/48.66
% 48.25/48.66 subsumption: (1960) {G2,W9,D2,L2,V2,M2} R(63,345) { ! midp( skol27, X, Y )
% 48.25/48.66 , para( X, skol20, Y, skol22 ) }.
% 48.25/48.66 parent0: (83094) {G1,W9,D2,L2,V2,M2} { ! midp( skol27, X, Y ), para( X,
% 48.25/48.66 skol20, Y, skol22 ) }.
% 48.25/48.66 substitution0:
% 48.25/48.66 X := X
% 48.25/48.66 Y := Y
% 48.25/48.66 end
% 48.25/48.66 permutation0:
% 48.25/48.66 0 ==> 0
% 48.25/48.66 1 ==> 1
% 48.25/48.66 end
% 48.25/48.66
% 48.25/48.66 resolution: (83095) {G1,W14,D2,L3,V2,M3} { ! para( skol25, X, skol20, Y )
% 48.25/48.66 , ! para( skol25, Y, skol20, X ), midp( skol23, X, Y ) }.
% 48.25/48.66 parent0[0]: (64) {G0,W18,D2,L4,V5,M4} I { ! midp( Z, T, U ), ! para( T, X,
% 48.25/48.66 U, Y ), ! para( T, Y, U, X ), midp( Z, X, Y ) }.
% 48.25/48.66 parent1[0]: (344) {G1,W4,D2,L1,V0,M1} R(10,117) { midp( skol23, skol25,
% 48.25/48.66 skol20 ) }.
% 48.25/48.66 substitution0:
% 48.25/48.66 X := X
% 48.25/48.66 Y := Y
% 48.25/48.66 Z := skol23
% 48.25/48.66 T := skol25
% 48.25/48.66 U := skol20
% 48.25/48.66 end
% 48.25/48.66 substitution1:
% 48.25/48.66 end
% 48.25/48.66
% 48.25/48.66 subsumption: (2031) {G2,W14,D2,L3,V2,M3} R(64,344) { ! para( skol25, X,
% 48.25/48.66 skol20, Y ), ! para( skol25, Y, skol20, X ), midp( skol23, X, Y ) }.
% 48.25/48.66 parent0: (83095) {G1,W14,D2,L3,V2,M3} { ! para( skol25, X, skol20, Y ), !
% 48.25/48.66 para( skol25, Y, skol20, X ), midp( skol23, X, Y ) }.
% 48.25/48.66 substitution0:
% 48.25/48.66 X := X
% 48.25/48.66 Y := Y
% 48.25/48.66 end
% 48.25/48.66 permutation0:
% 48.25/48.66 0 ==> 0
% 48.25/48.66 1 ==> 1
% 48.25/48.66 2 ==> 2
% 48.25/48.66 end
% 48.25/48.66
% 48.25/48.66 resolution: (83097) {G1,W18,D2,L4,V5,M4} { ! midp( X, Y, Z ), ! para( Y, U
% 48.25/48.66 , Z, T ), midp( X, T, U ), ! para( Y, T, U, Z ) }.
% 48.25/48.66 parent0[1]: (64) {G0,W18,D2,L4,V5,M4} I { ! midp( Z, T, U ), ! para( T, X,
% 48.25/48.66 U, Y ), ! para( T, Y, U, X ), midp( Z, X, Y ) }.
% 48.25/48.66 parent1[1]: (3) {G0,W10,D2,L2,V4,M2} I { ! para( X, Y, Z, T ), para( X, Y,
% 48.25/48.66 T, Z ) }.
% 48.25/48.66 substitution0:
% 48.25/48.66 X := T
% 48.25/48.66 Y := U
% 48.25/48.66 Z := X
% 48.25/48.66 T := Y
% 48.25/48.66 U := Z
% 48.25/48.66 end
% 48.25/48.66 substitution1:
% 48.25/48.66 X := Y
% 48.25/48.66 Y := T
% 48.25/48.66 Z := U
% 48.25/48.66 T := Z
% 48.25/48.66 end
% 48.25/48.66
% 48.25/48.66 subsumption: (2068) {G1,W18,D2,L4,V5,M4} R(64,3) { ! midp( X, Y, Z ), !
% 48.25/48.66 para( Y, T, Z, U ), midp( X, U, T ), ! para( Y, U, T, Z ) }.
% 48.25/48.66 parent0: (83097) {G1,W18,D2,L4,V5,M4} { ! midp( X, Y, Z ), ! para( Y, U, Z
% 48.25/48.66 , T ), midp( X, T, U ), ! para( Y, T, U, Z ) }.
% 48.25/48.66 substitution0:
% 48.25/48.66 X := X
% 48.25/48.66 Y := Y
% 48.25/48.66 Z := Z
% 48.25/48.66 T := U
% 48.25/48.66 U := T
% 48.25/48.66 end
% 48.25/48.66 permutation0:
% 48.25/48.66 0 ==> 0
% 48.25/48.66 1 ==> 1
% 48.25/48.66 2 ==> 2
% 48.25/48.66 3 ==> 3
% 48.25/48.66 end
% 48.25/48.66
% 48.25/48.66 resolution: (83100) {G1,W5,D2,L1,V0,M1} { cong( skol27, skol20, skol27,
% 48.25/48.66 skol22 ) }.
% 48.25/48.66 parent0[0]: (68) {G0,W9,D2,L2,V3,M2} I { ! midp( X, Y, Z ), cong( X, Y, X,
% 48.25/48.66 Z ) }.
% 48.25/48.66 parent1[0]: (345) {G1,W4,D2,L1,V0,M1} R(10,118) { midp( skol27, skol20,
% 48.25/48.66 skol22 ) }.
% 48.25/48.66 substitution0:
% 48.25/48.66 X := skol27
% 48.25/48.66 Y := skol20
% 48.25/48.66 Z := skol22
% 48.25/48.66 end
% 48.25/48.66 substitution1:
% 48.25/48.66 end
% 48.25/48.66
% 48.25/48.66 subsumption: (2531) {G2,W5,D2,L1,V0,M1} R(68,345) { cong( skol27, skol20,
% 48.25/48.66 skol27, skol22 ) }.
% 48.25/48.66 parent0: (83100) {G1,W5,D2,L1,V0,M1} { cong( skol27, skol20, skol27,
% 48.25/48.66 skol22 ) }.
% 48.25/48.66 substitution0:
% 48.25/48.66 end
% 48.25/48.66 permutation0:
% 48.25/48.66 0 ==> 0
% 48.25/48.66 end
% 48.25/48.66
% 48.25/48.66 resolution: (83101) {G1,W5,D2,L1,V0,M1} { cong( skol26, skol25, skol26,
% 48.25/48.66 skol22 ) }.
% 48.25/48.66 parent0[0]: (68) {G0,W9,D2,L2,V3,M2} I { ! midp( X, Y, Z ), cong( X, Y, X,
% 48.25/48.66 Z ) }.
% 48.25/48.66 parent1[0]: (116) {G0,W4,D2,L1,V0,M1} I { midp( skol26, skol25, skol22 )
% 48.25/48.66 }.
% 48.25/48.66 substitution0:
% 48.25/48.66 X := skol26
% 48.25/48.66 Y := skol25
% 48.25/48.66 Z := skol22
% 48.25/48.66 end
% 48.25/48.66 substitution1:
% 48.25/48.66 end
% 48.25/48.66
% 48.25/48.66 subsumption: (2534) {G1,W5,D2,L1,V0,M1} R(68,116) { cong( skol26, skol25,
% 48.25/48.66 skol26, skol22 ) }.
% 48.25/48.66 parent0: (83101) {G1,W5,D2,L1,V0,M1} { cong( skol26, skol25, skol26,
% 48.25/48.66 skol22 ) }.
% 48.25/48.66 substitution0:
% 48.25/48.66 end
% 48.25/48.66 permutation0:
% 48.25/48.66 0 ==> 0
% 48.25/48.66 end
% 48.25/48.66
% 48.25/48.66 resolution: (83102) {G1,W5,D2,L1,V0,M1} { cong( skol27, skol22, skol27,
% 48.25/48.66 skol20 ) }.
% 48.25/48.66 parent0[0]: (68) {G0,W9,D2,L2,V3,M2} I { ! midp( X, Y, Z ), cong( X, Y, X,
% 48.25/48.66 Z ) }.
% 48.25/48.66 parent1[0]: (118) {G0,W4,D2,L1,V0,M1} I { midp( skol27, skol22, skol20 )
% 48.25/48.66 }.
% 48.25/48.66 substitution0:
% 48.25/48.66 X := skol27
% 48.25/48.66 Y := skol22
% 48.25/48.66 Z := skol20
% 48.25/48.66 end
% 48.25/48.66 substitution1:
% 48.25/48.66 end
% 48.25/48.66
% 48.25/48.66 subsumption: (2536) {G1,W5,D2,L1,V0,M1} R(68,118) { cong( skol27, skol22,
% 48.25/48.66 skol27, skol20 ) }.
% 48.25/48.66 parent0: (83102) {G1,W5,D2,L1,V0,M1} { cong( skol27, skol22, skol27,
% 48.25/48.66 skol20 ) }.
% 48.25/48.66 substitution0:
% 48.25/48.66 end
% 48.25/48.66 permutation0:
% 48.25/48.66 0 ==> 0
% 48.25/48.66 end
% 48.25/48.66
% 48.25/48.66 resolution: (83103) {G1,W5,D2,L1,V0,M1} { cong( skol27, skol20, skol22,
% 48.25/48.66 skol27 ) }.
% 48.25/48.66 parent0[0]: (22) {G0,W10,D2,L2,V4,M2} I { ! cong( X, Y, Z, T ), cong( X, Y
% 48.25/48.66 , T, Z ) }.
% 48.25/48.66 parent1[0]: (2531) {G2,W5,D2,L1,V0,M1} R(68,345) { cong( skol27, skol20,
% 48.25/48.66 skol27, skol22 ) }.
% 48.25/48.66 substitution0:
% 48.25/48.66 X := skol27
% 48.25/48.66 Y := skol20
% 48.25/48.66 Z := skol27
% 48.25/48.66 T := skol22
% 48.25/48.66 end
% 48.25/48.66 substitution1:
% 48.25/48.66 end
% 48.25/48.66
% 48.25/48.66 subsumption: (2545) {G3,W5,D2,L1,V0,M1} R(2531,22) { cong( skol27, skol20,
% 48.25/48.66 skol22, skol27 ) }.
% 48.25/48.66 parent0: (83103) {G1,W5,D2,L1,V0,M1} { cong( skol27, skol20, skol22,
% 48.25/48.66 skol27 ) }.
% 48.25/48.66 substitution0:
% 48.25/48.66 end
% 48.25/48.66 permutation0:
% 48.25/48.66 0 ==> 0
% 48.25/48.66 end
% 48.25/48.66
% 48.25/48.66 resolution: (83104) {G1,W5,D2,L1,V0,M1} { cong( skol22, skol27, skol27,
% 48.25/48.66 skol20 ) }.
% 48.25/48.66 parent0[0]: (23) {G0,W10,D2,L2,V4,M2} I { ! cong( X, Y, Z, T ), cong( Z, T
% 48.25/48.66 , X, Y ) }.
% 48.25/48.66 parent1[0]: (2545) {G3,W5,D2,L1,V0,M1} R(2531,22) { cong( skol27, skol20,
% 48.25/48.66 skol22, skol27 ) }.
% 48.25/48.66 substitution0:
% 48.25/48.66 X := skol27
% 48.25/48.66 Y := skol20
% 48.25/48.66 Z := skol22
% 48.25/48.66 T := skol27
% 48.25/48.66 end
% 48.25/48.66 substitution1:
% 48.25/48.66 end
% 48.25/48.66
% 48.25/48.66 subsumption: (2557) {G4,W5,D2,L1,V0,M1} R(2545,23) { cong( skol22, skol27,
% 48.25/48.66 skol27, skol20 ) }.
% 48.25/48.66 parent0: (83104) {G1,W5,D2,L1,V0,M1} { cong( skol22, skol27, skol27,
% 48.25/48.66 skol20 ) }.
% 48.25/48.66 substitution0:
% 48.25/48.66 end
% 48.25/48.66 permutation0:
% 48.25/48.66 0 ==> 0
% 48.25/48.66 end
% 48.25/48.66
% 48.25/48.66 resolution: (83105) {G1,W5,D2,L1,V0,M1} { cong( skol22, skol27, skol20,
% 48.25/48.66 skol27 ) }.
% 48.25/48.66 parent0[0]: (22) {G0,W10,D2,L2,V4,M2} I { ! cong( X, Y, Z, T ), cong( X, Y
% 48.25/48.66 , T, Z ) }.
% 48.25/48.66 parent1[0]: (2557) {G4,W5,D2,L1,V0,M1} R(2545,23) { cong( skol22, skol27,
% 48.25/48.66 skol27, skol20 ) }.
% 48.25/48.66 substitution0:
% 48.25/48.66 X := skol22
% 48.25/48.66 Y := skol27
% 48.25/48.66 Z := skol27
% 48.25/48.66 T := skol20
% 48.25/48.66 end
% 48.25/48.66 substitution1:
% 48.25/48.66 end
% 48.25/48.66
% 48.25/48.66 subsumption: (2561) {G5,W5,D2,L1,V0,M1} R(2557,22) { cong( skol22, skol27,
% 48.25/48.66 skol20, skol27 ) }.
% 48.25/48.66 parent0: (83105) {G1,W5,D2,L1,V0,M1} { cong( skol22, skol27, skol20,
% 48.25/48.66 skol27 ) }.
% 48.25/48.66 substitution0:
% 48.25/48.66 end
% 48.25/48.66 permutation0:
% 48.25/48.66 0 ==> 0
% 48.25/48.66 end
% 48.25/48.66
% 48.25/48.66 resolution: (83106) {G2,W5,D2,L1,V0,M1} { cyclic( skol25, skol22, skol22,
% 48.25/48.66 skol22 ) }.
% 48.25/48.66 parent0[0]: (128) {G2,W10,D2,L2,V3,M2} F(127) { ! cong( X, Y, X, Z ),
% 48.25/48.66 cyclic( Y, Z, Z, Z ) }.
% 48.25/48.66 parent1[0]: (2534) {G1,W5,D2,L1,V0,M1} R(68,116) { cong( skol26, skol25,
% 48.25/48.66 skol26, skol22 ) }.
% 48.25/48.66 substitution0:
% 48.25/48.66 X := skol26
% 48.25/48.66 Y := skol25
% 48.25/48.66 Z := skol22
% 48.25/48.66 end
% 48.25/48.66 substitution1:
% 48.25/48.66 end
% 48.25/48.66
% 48.25/48.66 subsumption: (7449) {G3,W5,D2,L1,V0,M1} R(128,2534) { cyclic( skol25,
% 48.25/48.66 skol22, skol22, skol22 ) }.
% 48.25/48.66 parent0: (83106) {G2,W5,D2,L1,V0,M1} { cyclic( skol25, skol22, skol22,
% 48.25/48.66 skol22 ) }.
% 48.25/48.66 substitution0:
% 48.25/48.66 end
% 48.25/48.66 permutation0:
% 48.25/48.66 0 ==> 0
% 48.25/48.66 end
% 48.25/48.66
% 48.25/48.66 resolution: (83107) {G2,W14,D3,L3,V1,M3} { ! coll( skol20, skol20, skol22
% 48.25/48.66 ), ! coll( skol22, skol20, skol22 ), midp( skol7( skol20, X ), skol20, X
% 48.25/48.66 ) }.
% 48.25/48.66 parent0[0]: (144) {G1,W18,D3,L4,V4,M4} F(88) { ! midp( X, Y, Z ), ! coll( Y
% 48.25/48.66 , Y, Z ), ! coll( Z, Y, Z ), midp( skol7( Y, T ), Y, T ) }.
% 48.25/48.66 parent1[0]: (345) {G1,W4,D2,L1,V0,M1} R(10,118) { midp( skol27, skol20,
% 48.25/48.66 skol22 ) }.
% 48.25/48.66 substitution0:
% 48.25/48.66 X := skol27
% 48.25/48.66 Y := skol20
% 48.25/48.66 Z := skol22
% 48.25/48.66 T := X
% 48.25/48.66 end
% 48.25/48.66 substitution1:
% 48.25/48.66 end
% 48.25/48.66
% 48.25/48.66 resolution: (83108) {G3,W10,D3,L2,V1,M2} { ! coll( skol22, skol20, skol22
% 48.25/48.66 ), midp( skol7( skol20, X ), skol20, X ) }.
% 48.25/48.66 parent0[0]: (83107) {G2,W14,D3,L3,V1,M3} { ! coll( skol20, skol20, skol22
% 48.25/48.66 ), ! coll( skol22, skol20, skol22 ), midp( skol7( skol20, X ), skol20, X
% 48.25/48.66 ) }.
% 48.25/48.66 parent1[0]: (405) {G4,W4,D2,L1,V0,M1} R(353,0) { coll( skol20, skol20,
% 48.25/48.66 skol22 ) }.
% 48.25/48.66 substitution0:
% 48.25/48.66 X := X
% 48.25/48.66 end
% 48.25/48.66 substitution1:
% 48.25/48.66 end
% 48.25/48.66
% 48.25/48.66 subsumption: (8243) {G5,W10,D3,L2,V1,M2} R(144,345);r(405) { ! coll( skol22
% 48.25/48.66 , skol20, skol22 ), midp( skol7( skol20, X ), skol20, X ) }.
% 48.25/48.66 parent0: (83108) {G3,W10,D3,L2,V1,M2} { ! coll( skol22, skol20, skol22 ),
% 48.25/48.66 midp( skol7( skol20, X ), skol20, X ) }.
% 48.25/48.66 substitution0:
% 48.25/48.66 X := X
% 48.25/48.66 end
% 48.25/48.66 permutation0:
% 48.25/48.66 0 ==> 0
% 48.25/48.66 1 ==> 1
% 48.25/48.66 end
% 48.25/48.66
% 48.25/48.66 resolution: (83109) {G2,W5,D2,L1,V0,M1} { cyclic( skol22, skol22, skol22,
% 48.25/48.66 skol22 ) }.
% 48.25/48.66 parent0[0]: (129) {G1,W10,D2,L2,V4,M2} F(16) { ! cyclic( X, Y, Z, T ),
% 48.25/48.66 cyclic( Y, Z, T, T ) }.
% 48.25/48.66 parent1[0]: (7449) {G3,W5,D2,L1,V0,M1} R(128,2534) { cyclic( skol25, skol22
% 48.25/48.66 , skol22, skol22 ) }.
% 48.25/48.66 substitution0:
% 48.25/48.66 X := skol25
% 48.25/48.66 Y := skol22
% 48.25/48.66 Z := skol22
% 48.25/48.66 T := skol22
% 48.25/48.66 end
% 48.25/48.66 substitution1:
% 48.25/48.66 end
% 48.25/48.66
% 48.25/48.66 subsumption: (8279) {G4,W5,D2,L1,V0,M1} R(7449,129) { cyclic( skol22,
% 48.25/48.66 skol22, skol22, skol22 ) }.
% 48.25/48.66 parent0: (83109) {G2,W5,D2,L1,V0,M1} { cyclic( skol22, skol22, skol22,
% 48.25/48.66 skol22 ) }.
% 48.25/48.66 substitution0:
% 48.25/48.66 end
% 48.25/48.66 permutation0:
% 48.25/48.66 0 ==> 0
% 48.25/48.66 end
% 48.25/48.66
% 48.25/48.66 resolution: (83110) {G1,W5,D2,L1,V0,M1} { cyclic( skol22, skol25, skol22,
% 48.25/48.66 skol22 ) }.
% 48.25/48.66 parent0[0]: (15) {G0,W10,D2,L2,V4,M2} I { ! cyclic( X, Y, Z, T ), cyclic( Y
% 48.25/48.66 , X, Z, T ) }.
% 48.25/48.66 parent1[0]: (7449) {G3,W5,D2,L1,V0,M1} R(128,2534) { cyclic( skol25, skol22
% 48.25/48.66 , skol22, skol22 ) }.
% 48.25/48.66 substitution0:
% 48.25/48.66 X := skol25
% 48.25/48.66 Y := skol22
% 48.25/48.66 Z := skol22
% 48.25/48.66 T := skol22
% 48.25/48.66 end
% 48.25/48.66 substitution1:
% 48.25/48.66 end
% 48.25/48.66
% 48.25/48.66 subsumption: (8284) {G4,W5,D2,L1,V0,M1} R(7449,15) { cyclic( skol22, skol25
% 48.25/48.66 , skol22, skol22 ) }.
% 48.25/48.66 parent0: (83110) {G1,W5,D2,L1,V0,M1} { cyclic( skol22, skol25, skol22,
% 48.25/48.66 skol22 ) }.
% 48.25/48.66 substitution0:
% 48.25/48.66 end
% 48.25/48.66 permutation0:
% 48.25/48.66 0 ==> 0
% 48.25/48.66 end
% 48.25/48.66
% 48.25/48.66 resolution: (83111) {G1,W5,D2,L1,V0,M1} { cyclic( skol22, skol22, skol25,
% 48.25/48.66 skol22 ) }.
% 48.25/48.66 parent0[0]: (14) {G0,W10,D2,L2,V4,M2} I { ! cyclic( X, Y, Z, T ), cyclic( X
% 48.25/48.66 , Z, Y, T ) }.
% 48.25/48.66 parent1[0]: (8284) {G4,W5,D2,L1,V0,M1} R(7449,15) { cyclic( skol22, skol25
% 48.25/48.66 , skol22, skol22 ) }.
% 48.25/48.66 substitution0:
% 48.25/48.66 X := skol22
% 48.25/48.66 Y := skol25
% 48.25/48.66 Z := skol22
% 48.25/48.66 T := skol22
% 48.25/48.66 end
% 48.25/48.66 substitution1:
% 48.25/48.66 end
% 48.25/48.66
% 48.25/48.66 subsumption: (8394) {G5,W5,D2,L1,V0,M1} R(8284,14) { cyclic( skol22, skol22
% 48.25/48.66 , skol25, skol22 ) }.
% 48.25/48.66 parent0: (83111) {G1,W5,D2,L1,V0,M1} { cyclic( skol22, skol22, skol25,
% 48.25/48.66 skol22 ) }.
% 48.25/48.66 substitution0:
% 48.25/48.66 end
% 48.25/48.66 permutation0:
% 48.25/48.66 0 ==> 0
% 48.25/48.66 end
% 48.25/48.66
% 48.25/48.66 resolution: (83112) {G2,W5,D2,L1,V0,M1} { para( skol27, skol24, skol24,
% 48.25/48.66 skol27 ) }.
% 48.25/48.66 parent0[0]: (246) {G1,W10,D2,L2,V2,M2} R(5,120) { ! para( X, Y, skol25,
% 48.25/48.66 skol22 ), para( X, Y, skol24, skol27 ) }.
% 48.25/48.66 parent1[0]: (283) {G6,W5,D2,L1,V0,M1} R(280,3) { para( skol27, skol24,
% 48.25/48.66 skol25, skol22 ) }.
% 48.25/48.66 substitution0:
% 48.25/48.66 X := skol27
% 48.25/48.66 Y := skol24
% 48.25/48.66 end
% 48.25/48.66 substitution1:
% 48.25/48.66 end
% 48.25/48.66
% 48.25/48.66 subsumption: (16236) {G7,W5,D2,L1,V0,M1} R(246,283) { para( skol27, skol24
% 48.25/48.66 , skol24, skol27 ) }.
% 48.25/48.66 parent0: (83112) {G2,W5,D2,L1,V0,M1} { para( skol27, skol24, skol24,
% 48.25/48.66 skol27 ) }.
% 48.25/48.66 substitution0:
% 48.25/48.66 end
% 48.25/48.66 permutation0:
% 48.25/48.66 0 ==> 0
% 48.25/48.66 end
% 48.25/48.66
% 48.25/48.66 resolution: (83113) {G1,W5,D2,L1,V0,M1} { para( skol24, skol27, skol27,
% 48.25/48.66 skol24 ) }.
% 48.25/48.66 parent0[0]: (4) {G0,W10,D2,L2,V4,M2} I { ! para( X, Y, Z, T ), para( Z, T,
% 48.25/48.66 X, Y ) }.
% 48.25/48.66 parent1[0]: (16236) {G7,W5,D2,L1,V0,M1} R(246,283) { para( skol27, skol24,
% 48.25/48.66 skol24, skol27 ) }.
% 48.25/48.66 substitution0:
% 48.25/48.66 X := skol27
% 48.25/48.66 Y := skol24
% 48.25/48.66 Z := skol24
% 48.25/48.66 T := skol27
% 48.25/48.66 end
% 48.25/48.66 substitution1:
% 48.25/48.66 end
% 48.25/48.66
% 48.25/48.66 subsumption: (16258) {G8,W5,D2,L1,V0,M1} R(16236,4) { para( skol24, skol27
% 48.25/48.66 , skol27, skol24 ) }.
% 48.25/48.66 parent0: (83113) {G1,W5,D2,L1,V0,M1} { para( skol24, skol27, skol27,
% 48.25/48.66 skol24 ) }.
% 48.25/48.66 substitution0:
% 48.25/48.66 end
% 48.25/48.66 permutation0:
% 48.25/48.66 0 ==> 0
% 48.25/48.66 end
% 48.25/48.66
% 48.25/48.66 resolution: (83114) {G1,W12,D2,L3,V1,M3} { ! midp( skol24, X, skol27 ), !
% 48.25/48.66 coll( skol27, X, skol24 ), midp( skol27, X, skol24 ) }.
% 48.25/48.66 parent0[1]: (45) {G0,W17,D2,L4,V5,M4} I { ! midp( U, X, T ), ! para( U, Z,
% 48.25/48.66 T, Y ), ! coll( Z, X, Y ), midp( Z, X, Y ) }.
% 48.25/48.66 parent1[0]: (16258) {G8,W5,D2,L1,V0,M1} R(16236,4) { para( skol24, skol27,
% 48.25/48.66 skol27, skol24 ) }.
% 48.25/48.66 substitution0:
% 48.25/48.66 X := X
% 48.25/48.66 Y := skol24
% 48.25/48.66 Z := skol27
% 48.25/48.66 T := skol27
% 48.25/48.66 U := skol24
% 48.25/48.66 end
% 48.25/48.66 substitution1:
% 48.25/48.66 end
% 48.25/48.66
% 48.25/48.66 resolution: (83115) {G2,W12,D2,L3,V1,M3} { ! midp( skol24, X, skol27 ),
% 48.25/48.66 midp( skol27, X, skol24 ), ! midp( skol24, X, skol27 ) }.
% 48.25/48.66 parent0[1]: (83114) {G1,W12,D2,L3,V1,M3} { ! midp( skol24, X, skol27 ), !
% 48.25/48.66 coll( skol27, X, skol24 ), midp( skol27, X, skol24 ) }.
% 48.25/48.66 parent1[0]: (671) {G10,W8,D2,L2,V3,M2} R(663,69) { coll( X, Y, Z ), ! midp
% 48.25/48.66 ( Z, Y, X ) }.
% 48.25/48.66 substitution0:
% 48.25/48.66 X := X
% 48.25/48.66 end
% 48.25/48.66 substitution1:
% 48.25/48.66 X := skol27
% 48.25/48.66 Y := X
% 48.25/48.66 Z := skol24
% 48.25/48.66 end
% 48.25/48.66
% 48.25/48.66 factor: (83116) {G2,W8,D2,L2,V1,M2} { ! midp( skol24, X, skol27 ), midp(
% 48.25/48.66 skol27, X, skol24 ) }.
% 48.25/48.66 parent0[0, 2]: (83115) {G2,W12,D2,L3,V1,M3} { ! midp( skol24, X, skol27 )
% 48.25/48.66 , midp( skol27, X, skol24 ), ! midp( skol24, X, skol27 ) }.
% 48.25/48.66 substitution0:
% 48.25/48.66 X := X
% 48.25/48.66 end
% 48.25/48.66
% 48.25/48.66 subsumption: (16473) {G11,W8,D2,L2,V1,M2} R(16258,45);r(671) { ! midp(
% 48.25/48.66 skol24, X, skol27 ), midp( skol27, X, skol24 ) }.
% 48.25/48.66 parent0: (83116) {G2,W8,D2,L2,V1,M2} { ! midp( skol24, X, skol27 ), midp(
% 48.25/48.66 skol27, X, skol24 ) }.
% 48.25/48.66 substitution0:
% 48.25/48.66 X := X
% 48.25/48.66 end
% 48.25/48.66 permutation0:
% 48.25/48.66 0 ==> 0
% 48.25/48.66 1 ==> 1
% 48.25/48.66 end
% 48.25/48.66
% 48.25/48.66 resolution: (83117) {G6,W6,D3,L1,V1,M1} { midp( skol7( skol20, X ), skol20
% 48.25/48.66 , X ) }.
% 48.25/48.66 parent0[0]: (8243) {G5,W10,D3,L2,V1,M2} R(144,345);r(405) { ! coll( skol22
% 48.25/48.66 , skol20, skol22 ), midp( skol7( skol20, X ), skol20, X ) }.
% 48.25/48.66 parent1[0]: (350) {G6,W4,D2,L1,V0,M1} R(192,232) { coll( skol22, skol20,
% 48.25/48.66 skol22 ) }.
% 48.25/48.66 substitution0:
% 48.25/48.66 X := X
% 48.25/48.66 end
% 48.25/48.66 substitution1:
% 48.25/48.66 end
% 48.25/48.66
% 48.25/48.66 subsumption: (20104) {G7,W6,D3,L1,V1,M1} S(8243);r(350) { midp( skol7(
% 48.25/48.66 skol20, X ), skol20, X ) }.
% 48.25/48.66 parent0: (83117) {G6,W6,D3,L1,V1,M1} { midp( skol7( skol20, X ), skol20, X
% 48.25/48.66 ) }.
% 48.25/48.66 substitution0:
% 48.25/48.66 X := X
% 48.25/48.66 end
% 48.25/48.66 permutation0:
% 48.25/48.66 0 ==> 0
% 48.25/48.66 end
% 48.25/48.66
% 48.25/48.66 resolution: (83118) {G8,W4,D2,L1,V1,M1} { coll( skol20, skol20, X ) }.
% 48.25/48.66 parent0[0]: (611) {G10,W8,D2,L2,V3,M2} R(596,0) { ! midp( X, Y, Z ), coll(
% 48.25/48.66 Y, Y, Z ) }.
% 48.25/48.66 parent1[0]: (20104) {G7,W6,D3,L1,V1,M1} S(8243);r(350) { midp( skol7(
% 48.25/48.66 skol20, X ), skol20, X ) }.
% 48.25/48.66 substitution0:
% 48.25/48.66 X := skol7( skol20, X )
% 48.25/48.66 Y := skol20
% 48.25/48.66 Z := X
% 48.25/48.66 end
% 48.25/48.66 substitution1:
% 48.25/48.66 X := X
% 48.25/48.66 end
% 48.25/48.66
% 48.25/48.66 subsumption: (20215) {G11,W4,D2,L1,V1,M1} R(20104,611) { coll( skol20,
% 48.25/48.66 skol20, X ) }.
% 48.25/48.66 parent0: (83118) {G8,W4,D2,L1,V1,M1} { coll( skol20, skol20, X ) }.
% 48.25/48.66 substitution0:
% 48.25/48.66 X := X
% 48.25/48.66 end
% 48.25/48.66 permutation0:
% 48.25/48.66 0 ==> 0
% 48.25/48.66 end
% 48.25/48.66
% 48.25/48.66 resolution: (83119) {G2,W8,D2,L2,V2,M2} { ! coll( skol20, skol20, Y ),
% 48.25/48.66 coll( X, skol20, Y ) }.
% 48.25/48.66 parent0[0]: (191) {G1,W12,D2,L3,V4,M3} R(2,0) { ! coll( X, Y, Z ), ! coll(
% 48.25/48.66 X, Y, T ), coll( Z, X, T ) }.
% 48.25/48.66 parent1[0]: (20215) {G11,W4,D2,L1,V1,M1} R(20104,611) { coll( skol20,
% 48.25/48.66 skol20, X ) }.
% 48.25/48.66 substitution0:
% 48.25/48.66 X := skol20
% 48.25/48.66 Y := skol20
% 48.25/48.66 Z := X
% 48.25/48.66 T := Y
% 48.25/48.66 end
% 48.25/48.66 substitution1:
% 48.25/48.66 X := X
% 48.25/48.66 end
% 48.25/48.66
% 48.25/48.66 resolution: (83121) {G3,W4,D2,L1,V2,M1} { coll( Y, skol20, X ) }.
% 48.25/48.66 parent0[0]: (83119) {G2,W8,D2,L2,V2,M2} { ! coll( skol20, skol20, Y ),
% 48.25/48.66 coll( X, skol20, Y ) }.
% 48.25/48.66 parent1[0]: (20215) {G11,W4,D2,L1,V1,M1} R(20104,611) { coll( skol20,
% 48.25/48.66 skol20, X ) }.
% 48.25/48.66 substitution0:
% 48.25/48.66 X := Y
% 48.25/48.66 Y := X
% 48.25/48.66 end
% 48.25/48.66 substitution1:
% 48.25/48.66 X := X
% 48.25/48.66 end
% 48.25/48.66
% 48.25/48.66 subsumption: (20373) {G12,W4,D2,L1,V2,M1} R(20215,191);r(20215) { coll( Y,
% 48.25/48.66 skol20, X ) }.
% 48.25/48.66 parent0: (83121) {G3,W4,D2,L1,V2,M1} { coll( Y, skol20, X ) }.
% 48.25/48.66 substitution0:
% 48.25/48.66 X := X
% 48.25/48.66 Y := Y
% 48.25/48.66 end
% 48.25/48.66 permutation0:
% 48.25/48.66 0 ==> 0
% 48.25/48.66 end
% 48.25/48.66
% 48.25/48.66 resolution: (83122) {G2,W8,D2,L2,V3,M2} { ! coll( X, skol20, Z ), coll( Y
% 48.25/48.66 , X, Z ) }.
% 48.25/48.66 parent0[0]: (191) {G1,W12,D2,L3,V4,M3} R(2,0) { ! coll( X, Y, Z ), ! coll(
% 48.25/48.66 X, Y, T ), coll( Z, X, T ) }.
% 48.25/48.66 parent1[0]: (20373) {G12,W4,D2,L1,V2,M1} R(20215,191);r(20215) { coll( Y,
% 48.25/48.66 skol20, X ) }.
% 48.25/48.66 substitution0:
% 48.25/48.66 X := X
% 48.25/48.66 Y := skol20
% 48.25/48.66 Z := Y
% 48.25/48.66 T := Z
% 48.25/48.66 end
% 48.25/48.66 substitution1:
% 48.25/48.66 X := Y
% 48.25/48.66 Y := X
% 48.25/48.66 end
% 48.25/48.66
% 48.25/48.66 resolution: (83124) {G3,W4,D2,L1,V3,M1} { coll( Z, X, Y ) }.
% 48.25/48.66 parent0[0]: (83122) {G2,W8,D2,L2,V3,M2} { ! coll( X, skol20, Z ), coll( Y
% 48.25/48.66 , X, Z ) }.
% 48.25/48.66 parent1[0]: (20373) {G12,W4,D2,L1,V2,M1} R(20215,191);r(20215) { coll( Y,
% 48.25/48.66 skol20, X ) }.
% 48.25/48.66 substitution0:
% 48.25/48.66 X := X
% 48.25/48.66 Y := Z
% 48.25/48.66 Z := Y
% 48.25/48.66 end
% 48.25/48.66 substitution1:
% 48.25/48.66 X := Y
% 48.25/48.66 Y := X
% 48.25/48.66 end
% 48.25/48.66
% 48.25/48.66 subsumption: (20392) {G13,W4,D2,L1,V3,M1} R(20373,191);r(20373) { coll( Z,
% 48.25/48.66 X, Y ) }.
% 48.25/48.66 parent0: (83124) {G3,W4,D2,L1,V3,M1} { coll( Z, X, Y ) }.
% 48.25/48.66 substitution0:
% 48.25/48.66 X := X
% 48.25/48.66 Y := Y
% 48.25/48.66 Z := Z
% 48.25/48.66 end
% 48.25/48.66 permutation0:
% 48.25/48.66 0 ==> 0
% 48.25/48.66 end
% 48.25/48.66
% 48.25/48.66 resolution: (83126) {G1,W8,D2,L2,V1,M2} { midp( skol27, skol24, X ), !
% 48.25/48.66 midp( skol24, X, skol27 ) }.
% 48.25/48.66 parent0[0]: (10) {G0,W8,D2,L2,V3,M2} I { ! midp( Z, Y, X ), midp( Z, X, Y )
% 48.25/48.66 }.
% 48.25/48.66 parent1[1]: (16473) {G11,W8,D2,L2,V1,M2} R(16258,45);r(671) { ! midp(
% 48.25/48.66 skol24, X, skol27 ), midp( skol27, X, skol24 ) }.
% 48.25/48.66 substitution0:
% 48.25/48.66 X := skol24
% 48.25/48.66 Y := X
% 48.25/48.66 Z := skol27
% 48.25/48.66 end
% 48.25/48.66 substitution1:
% 48.25/48.66 X := X
% 48.25/48.66 end
% 48.25/48.66
% 48.25/48.66 subsumption: (24275) {G12,W8,D2,L2,V1,M2} R(16473,10) { ! midp( skol24, X,
% 48.25/48.66 skol27 ), midp( skol27, skol24, X ) }.
% 48.25/48.66 parent0: (83126) {G1,W8,D2,L2,V1,M2} { midp( skol27, skol24, X ), ! midp(
% 48.25/48.66 skol24, X, skol27 ) }.
% 48.25/48.66 substitution0:
% 48.25/48.66 X := X
% 48.25/48.66 end
% 48.25/48.66 permutation0:
% 48.25/48.66 0 ==> 1
% 48.25/48.66 1 ==> 0
% 48.25/48.66 end
% 48.25/48.66
% 48.25/48.66 resolution: (83127) {G2,W5,D2,L1,V0,M1} { cong( skol27, skol22, skol27,
% 48.25/48.66 skol22 ) }.
% 48.25/48.66 parent0[0]: (547) {G2,W10,D2,L2,V4,M2} F(536) { ! cong( X, Y, Z, T ), cong
% 48.25/48.66 ( X, Y, X, Y ) }.
% 48.25/48.66 parent1[0]: (2536) {G1,W5,D2,L1,V0,M1} R(68,118) { cong( skol27, skol22,
% 48.25/48.66 skol27, skol20 ) }.
% 48.25/48.66 substitution0:
% 48.25/48.66 X := skol27
% 48.25/48.66 Y := skol22
% 48.25/48.66 Z := skol27
% 48.25/48.66 T := skol20
% 48.25/48.66 end
% 48.25/48.66 substitution1:
% 48.25/48.66 end
% 48.25/48.66
% 48.25/48.66 subsumption: (25552) {G3,W5,D2,L1,V0,M1} R(547,2536) { cong( skol27, skol22
% 48.25/48.66 , skol27, skol22 ) }.
% 48.25/48.66 parent0: (83127) {G2,W5,D2,L1,V0,M1} { cong( skol27, skol22, skol27,
% 48.25/48.66 skol22 ) }.
% 48.25/48.66 substitution0:
% 48.25/48.66 end
% 48.25/48.66 permutation0:
% 48.25/48.66 0 ==> 0
% 48.25/48.66 end
% 48.25/48.66
% 48.25/48.66 resolution: (83128) {G3,W5,D2,L1,V0,M1} { cong( skol22, skol27, skol22,
% 48.25/48.66 skol27 ) }.
% 48.25/48.66 parent0[0]: (547) {G2,W10,D2,L2,V4,M2} F(536) { ! cong( X, Y, Z, T ), cong
% 48.25/48.66 ( X, Y, X, Y ) }.
% 48.25/48.66 parent1[0]: (2561) {G5,W5,D2,L1,V0,M1} R(2557,22) { cong( skol22, skol27,
% 48.25/48.66 skol20, skol27 ) }.
% 48.25/48.66 substitution0:
% 48.25/48.66 X := skol22
% 48.25/48.66 Y := skol27
% 48.25/48.66 Z := skol20
% 48.25/48.66 T := skol27
% 48.25/48.66 end
% 48.25/48.66 substitution1:
% 48.25/48.66 end
% 48.25/48.66
% 48.25/48.66 subsumption: (25562) {G6,W5,D2,L1,V0,M1} R(547,2561) { cong( skol22, skol27
% 48.25/48.66 , skol22, skol27 ) }.
% 48.25/48.66 parent0: (83128) {G3,W5,D2,L1,V0,M1} { cong( skol22, skol27, skol22,
% 48.25/48.66 skol27 ) }.
% 48.25/48.66 substitution0:
% 48.25/48.66 end
% 48.25/48.66 permutation0:
% 48.25/48.66 0 ==> 0
% 48.25/48.66 end
% 48.25/48.66
% 48.25/48.66 resolution: (83129) {G2,W5,D2,L1,V0,M1} { circle( skol27, skol22, skol22,
% 48.25/48.66 skol22 ) }.
% 48.25/48.66 parent0[0]: (124) {G1,W10,D2,L2,V3,M2} F(11) { ! cong( X, Y, X, Z ), circle
% 48.25/48.66 ( X, Y, Z, Z ) }.
% 48.25/48.66 parent1[0]: (25552) {G3,W5,D2,L1,V0,M1} R(547,2536) { cong( skol27, skol22
% 48.25/48.66 , skol27, skol22 ) }.
% 48.25/48.66 substitution0:
% 48.25/48.66 X := skol27
% 48.25/48.66 Y := skol22
% 48.25/48.66 Z := skol22
% 48.25/48.66 end
% 48.25/48.66 substitution1:
% 48.25/48.66 end
% 48.25/48.66
% 48.25/48.66 subsumption: (25605) {G4,W5,D2,L1,V0,M1} R(25552,124) { circle( skol27,
% 48.25/48.66 skol22, skol22, skol22 ) }.
% 48.25/48.66 parent0: (83129) {G2,W5,D2,L1,V0,M1} { circle( skol27, skol22, skol22,
% 48.25/48.66 skol22 ) }.
% 48.25/48.66 substitution0:
% 48.25/48.66 end
% 48.25/48.66 permutation0:
% 48.25/48.66 0 ==> 0
% 48.25/48.66 end
% 48.25/48.66
% 48.25/48.66 resolution: (83130) {G3,W10,D2,L2,V0,M2} { ! cyclic( skol22, skol22,
% 48.25/48.66 skol25, skol22 ), cong( skol22, skol22, skol22, skol22 ) }.
% 48.25/48.66 parent0[0]: (1013) {G2,W15,D2,L3,V3,M3} F(981) { ! cyclic( X, Y, Z, X ), !
% 48.25/48.66 cyclic( X, Y, Z, Y ), cong( X, Y, X, Y ) }.
% 48.25/48.66 parent1[0]: (8394) {G5,W5,D2,L1,V0,M1} R(8284,14) { cyclic( skol22, skol22
% 48.25/48.66 , skol25, skol22 ) }.
% 48.25/48.66 substitution0:
% 48.25/48.66 X := skol22
% 48.25/48.66 Y := skol22
% 48.25/48.66 Z := skol25
% 48.25/48.66 end
% 48.25/48.66 substitution1:
% 48.25/48.66 end
% 48.25/48.66
% 48.25/48.66 resolution: (83131) {G4,W5,D2,L1,V0,M1} { cong( skol22, skol22, skol22,
% 48.25/48.66 skol22 ) }.
% 48.25/48.66 parent0[0]: (83130) {G3,W10,D2,L2,V0,M2} { ! cyclic( skol22, skol22,
% 48.25/48.66 skol25, skol22 ), cong( skol22, skol22, skol22, skol22 ) }.
% 48.25/48.66 parent1[0]: (8394) {G5,W5,D2,L1,V0,M1} R(8284,14) { cyclic( skol22, skol22
% 48.25/48.66 , skol25, skol22 ) }.
% 48.25/48.66 substitution0:
% 48.25/48.66 end
% 48.25/48.66 substitution1:
% 48.25/48.66 end
% 48.25/48.66
% 48.25/48.66 subsumption: (28114) {G6,W5,D2,L1,V0,M1} R(1013,8394);r(8394) { cong(
% 48.25/48.66 skol22, skol22, skol22, skol22 ) }.
% 48.25/48.66 parent0: (83131) {G4,W5,D2,L1,V0,M1} { cong( skol22, skol22, skol22,
% 48.25/48.66 skol22 ) }.
% 48.25/48.66 substitution0:
% 48.25/48.66 end
% 48.25/48.66 permutation0:
% 48.25/48.66 0 ==> 0
% 48.25/48.66 end
% 48.25/48.66
% 48.25/48.66 resolution: (83132) {G2,W10,D2,L2,V0,M2} { ! cyclic( skol22, skol22,
% 48.25/48.66 skol22, skol22 ), perp( skol22, skol22, skol22, skol22 ) }.
% 48.25/48.66 parent0[0]: (135) {G1,W15,D2,L3,V3,M3} F(57) { ! cong( X, Y, Z, Y ), !
% 48.25/48.66 cyclic( X, Z, Y, Y ), perp( Y, X, X, Y ) }.
% 48.25/48.66 parent1[0]: (28114) {G6,W5,D2,L1,V0,M1} R(1013,8394);r(8394) { cong( skol22
% 48.25/48.66 , skol22, skol22, skol22 ) }.
% 48.25/48.66 substitution0:
% 48.25/48.66 X := skol22
% 48.25/48.66 Y := skol22
% 48.25/48.66 Z := skol22
% 48.25/48.66 end
% 48.25/48.66 substitution1:
% 48.25/48.66 end
% 48.25/48.66
% 48.25/48.66 resolution: (83133) {G3,W5,D2,L1,V0,M1} { perp( skol22, skol22, skol22,
% 48.25/48.66 skol22 ) }.
% 48.25/48.66 parent0[0]: (83132) {G2,W10,D2,L2,V0,M2} { ! cyclic( skol22, skol22,
% 48.25/48.66 skol22, skol22 ), perp( skol22, skol22, skol22, skol22 ) }.
% 48.25/48.66 parent1[0]: (8279) {G4,W5,D2,L1,V0,M1} R(7449,129) { cyclic( skol22, skol22
% 48.25/48.66 , skol22, skol22 ) }.
% 48.25/48.66 substitution0:
% 48.25/48.66 end
% 48.25/48.66 substitution1:
% 48.25/48.66 end
% 48.25/48.66
% 48.25/48.66 subsumption: (31483) {G7,W5,D2,L1,V0,M1} R(28114,135);r(8279) { perp(
% 48.25/48.66 skol22, skol22, skol22, skol22 ) }.
% 48.25/48.66 parent0: (83133) {G3,W5,D2,L1,V0,M1} { perp( skol22, skol22, skol22,
% 48.25/48.66 skol22 ) }.
% 48.25/48.66 substitution0:
% 48.25/48.66 end
% 48.25/48.66 permutation0:
% 48.25/48.66 0 ==> 0
% 48.25/48.66 end
% 48.25/48.66
% 48.25/48.66 resolution: (83134) {G2,W10,D2,L2,V2,M2} { ! perp( skol22, skol22, X, Y )
% 48.25/48.66 , para( X, Y, skol22, skol22 ) }.
% 48.25/48.66 parent0[0]: (292) {G1,W15,D2,L3,V6,M3} R(8,4) { ! perp( X, Y, Z, T ), !
% 48.25/48.66 perp( Z, T, U, W ), para( U, W, X, Y ) }.
% 48.25/48.66 parent1[0]: (31483) {G7,W5,D2,L1,V0,M1} R(28114,135);r(8279) { perp( skol22
% 48.25/48.66 , skol22, skol22, skol22 ) }.
% 48.25/48.66 substitution0:
% 48.25/48.66 X := skol22
% 48.25/48.66 Y := skol22
% 48.25/48.66 Z := skol22
% 48.25/48.66 T := skol22
% 48.25/48.66 U := X
% 48.25/48.66 W := Y
% 48.25/48.66 end
% 48.25/48.66 substitution1:
% 48.25/48.66 end
% 48.25/48.66
% 48.25/48.66 subsumption: (31508) {G8,W10,D2,L2,V2,M2} R(31483,292) { ! perp( skol22,
% 48.25/48.66 skol22, X, Y ), para( X, Y, skol22, skol22 ) }.
% 48.25/48.66 parent0: (83134) {G2,W10,D2,L2,V2,M2} { ! perp( skol22, skol22, X, Y ),
% 48.25/48.66 para( X, Y, skol22, skol22 ) }.
% 48.25/48.66 substitution0:
% 48.25/48.66 X := X
% 48.25/48.66 Y := Y
% 48.25/48.66 end
% 48.25/48.66 permutation0:
% 48.25/48.66 0 ==> 0
% 48.25/48.66 1 ==> 1
% 48.25/48.66 end
% 48.25/48.66
% 48.25/48.66 resolution: (83136) {G8,W8,D2,L2,V1,M2} { ! midp( skol26, X, skol25 ),
% 48.25/48.66 midp( skol24, X, skol27 ) }.
% 48.25/48.66 parent0[1]: (1177) {G7,W12,D2,L3,V1,M3} R(45,264) { ! midp( skol26, X,
% 48.25/48.66 skol25 ), ! coll( skol24, X, skol27 ), midp( skol24, X, skol27 ) }.
% 48.25/48.66 parent1[0]: (20392) {G13,W4,D2,L1,V3,M1} R(20373,191);r(20373) { coll( Z, X
% 48.25/48.66 , Y ) }.
% 48.25/48.66 substitution0:
% 48.25/48.66 X := X
% 48.25/48.66 end
% 48.25/48.66 substitution1:
% 48.25/48.66 X := X
% 48.25/48.66 Y := skol27
% 48.25/48.66 Z := skol24
% 48.25/48.66 end
% 48.25/48.66
% 48.25/48.66 subsumption: (39010) {G14,W8,D2,L2,V1,M2} S(1177);r(20392) { ! midp( skol26
% 48.25/48.66 , X, skol25 ), midp( skol24, X, skol27 ) }.
% 48.25/48.66 parent0: (83136) {G8,W8,D2,L2,V1,M2} { ! midp( skol26, X, skol25 ), midp(
% 48.25/48.66 skol24, X, skol27 ) }.
% 48.25/48.66 substitution0:
% 48.25/48.66 X := X
% 48.25/48.66 end
% 48.25/48.66 permutation0:
% 48.25/48.66 0 ==> 0
% 48.25/48.66 1 ==> 1
% 48.25/48.66 end
% 48.25/48.66
% 48.25/48.66 resolution: (83137) {G2,W10,D2,L2,V0,M2} { perp( skol27, skol22, skol22,
% 48.25/48.66 skol22 ), ! cyclic( skol22, skol22, skol22, skol22 ) }.
% 48.25/48.66 parent0[0]: (1325) {G1,W15,D2,L3,V4,M3} R(49,40) { ! circle( X, Y, Z, T ),
% 48.25/48.66 perp( X, Y, Y, Y ), ! cyclic( Y, Z, Y, T ) }.
% 48.25/48.66 parent1[0]: (25605) {G4,W5,D2,L1,V0,M1} R(25552,124) { circle( skol27,
% 48.25/48.66 skol22, skol22, skol22 ) }.
% 48.25/48.66 substitution0:
% 48.25/48.66 X := skol27
% 48.25/48.66 Y := skol22
% 48.25/48.66 Z := skol22
% 48.25/48.66 T := skol22
% 48.25/48.66 end
% 48.25/48.66 substitution1:
% 48.25/48.66 end
% 48.25/48.66
% 48.25/48.66 resolution: (83138) {G3,W5,D2,L1,V0,M1} { perp( skol27, skol22, skol22,
% 48.25/48.66 skol22 ) }.
% 48.25/48.66 parent0[1]: (83137) {G2,W10,D2,L2,V0,M2} { perp( skol27, skol22, skol22,
% 48.25/48.66 skol22 ), ! cyclic( skol22, skol22, skol22, skol22 ) }.
% 48.25/48.66 parent1[0]: (8279) {G4,W5,D2,L1,V0,M1} R(7449,129) { cyclic( skol22, skol22
% 48.25/48.66 , skol22, skol22 ) }.
% 48.25/48.66 substitution0:
% 48.25/48.66 end
% 48.25/48.66 substitution1:
% 48.25/48.66 end
% 48.25/48.66
% 48.25/48.66 subsumption: (43836) {G5,W5,D2,L1,V0,M1} R(1325,25605);r(8279) { perp(
% 48.25/48.66 skol27, skol22, skol22, skol22 ) }.
% 48.25/48.66 parent0: (83138) {G3,W5,D2,L1,V0,M1} { perp( skol27, skol22, skol22,
% 48.25/48.66 skol22 ) }.
% 48.25/48.66 substitution0:
% 48.25/48.66 end
% 48.25/48.66 permutation0:
% 48.25/48.66 0 ==> 0
% 48.25/48.66 end
% 48.25/48.66
% 48.25/48.66 resolution: (83139) {G2,W4,D2,L1,V0,M1} { midp( skol24, skol22, skol27 )
% 48.25/48.66 }.
% 48.25/48.66 parent0[0]: (39010) {G14,W8,D2,L2,V1,M2} S(1177);r(20392) { ! midp( skol26
% 48.25/48.66 , X, skol25 ), midp( skol24, X, skol27 ) }.
% 48.25/48.66 parent1[0]: (343) {G1,W4,D2,L1,V0,M1} R(10,116) { midp( skol26, skol22,
% 48.25/48.66 skol25 ) }.
% 48.25/48.66 substitution0:
% 48.25/48.66 X := skol22
% 48.25/48.66 end
% 48.25/48.66 substitution1:
% 48.25/48.66 end
% 48.25/48.66
% 48.25/48.66 subsumption: (48611) {G15,W4,D2,L1,V0,M1} R(39010,343) { midp( skol24,
% 48.25/48.66 skol22, skol27 ) }.
% 48.25/48.66 parent0: (83139) {G2,W4,D2,L1,V0,M1} { midp( skol24, skol22, skol27 ) }.
% 48.25/48.66 substitution0:
% 48.25/48.66 end
% 48.25/48.66 permutation0:
% 48.25/48.66 0 ==> 0
% 48.25/48.66 end
% 48.25/48.66
% 48.25/48.66 resolution: (83140) {G13,W4,D2,L1,V0,M1} { midp( skol27, skol24, skol22 )
% 48.25/48.66 }.
% 48.25/48.66 parent0[0]: (24275) {G12,W8,D2,L2,V1,M2} R(16473,10) { ! midp( skol24, X,
% 48.25/48.66 skol27 ), midp( skol27, skol24, X ) }.
% 48.25/48.66 parent1[0]: (48611) {G15,W4,D2,L1,V0,M1} R(39010,343) { midp( skol24,
% 48.25/48.66 skol22, skol27 ) }.
% 48.25/48.66 substitution0:
% 48.25/48.66 X := skol22
% 48.25/48.66 end
% 48.25/48.66 substitution1:
% 48.25/48.66 end
% 48.25/48.66
% 48.25/48.66 subsumption: (48644) {G16,W4,D2,L1,V0,M1} R(48611,24275) { midp( skol27,
% 48.25/48.66 skol24, skol22 ) }.
% 48.25/48.66 parent0: (83140) {G13,W4,D2,L1,V0,M1} { midp( skol27, skol24, skol22 ) }.
% 48.25/48.66 substitution0:
% 48.25/48.66 end
% 48.25/48.66 permutation0:
% 48.25/48.66 0 ==> 0
% 48.25/48.66 end
% 48.25/48.66
% 48.25/48.66 resolution: (83141) {G1,W4,D2,L1,V0,M1} { midp( skol24, skol27, skol22 )
% 48.25/48.66 }.
% 48.25/48.66 parent0[0]: (10) {G0,W8,D2,L2,V3,M2} I { ! midp( Z, Y, X ), midp( Z, X, Y )
% 48.25/48.66 }.
% 48.25/48.66 parent1[0]: (48611) {G15,W4,D2,L1,V0,M1} R(39010,343) { midp( skol24,
% 48.25/48.66 skol22, skol27 ) }.
% 48.25/48.66 substitution0:
% 48.25/48.66 X := skol27
% 48.25/48.66 Y := skol22
% 48.25/48.66 Z := skol24
% 48.25/48.66 end
% 48.25/48.66 substitution1:
% 48.25/48.66 end
% 48.25/48.66
% 48.25/48.66 subsumption: (48662) {G16,W4,D2,L1,V0,M1} R(48611,10) { midp( skol24,
% 48.25/48.66 skol27, skol22 ) }.
% 48.25/48.66 parent0: (83141) {G1,W4,D2,L1,V0,M1} { midp( skol24, skol27, skol22 ) }.
% 48.25/48.66 substitution0:
% 48.25/48.66 end
% 48.25/48.66 permutation0:
% 48.25/48.66 0 ==> 0
% 48.25/48.66 end
% 48.25/48.66
% 48.25/48.66 resolution: (83142) {G1,W5,D2,L1,V0,M1} { cong( skol24, skol27, skol24,
% 48.25/48.66 skol22 ) }.
% 48.25/48.66 parent0[0]: (68) {G0,W9,D2,L2,V3,M2} I { ! midp( X, Y, Z ), cong( X, Y, X,
% 48.25/48.66 Z ) }.
% 48.25/48.66 parent1[0]: (48662) {G16,W4,D2,L1,V0,M1} R(48611,10) { midp( skol24, skol27
% 48.25/48.66 , skol22 ) }.
% 48.25/48.66 substitution0:
% 48.25/48.66 X := skol24
% 48.25/48.66 Y := skol27
% 48.25/48.66 Z := skol22
% 48.25/48.66 end
% 48.25/48.66 substitution1:
% 48.25/48.66 end
% 48.25/48.66
% 48.25/48.66 subsumption: (49380) {G17,W5,D2,L1,V0,M1} R(48662,68) { cong( skol24,
% 48.25/48.66 skol27, skol24, skol22 ) }.
% 48.25/48.66 parent0: (83142) {G1,W5,D2,L1,V0,M1} { cong( skol24, skol27, skol24,
% 48.25/48.66 skol22 ) }.
% 48.25/48.66 substitution0:
% 48.25/48.66 end
% 48.25/48.66 permutation0:
% 48.25/48.66 0 ==> 0
% 48.25/48.66 end
% 48.25/48.66
% 48.25/48.66 resolution: (83143) {G3,W5,D2,L1,V0,M1} { cong( skol24, skol27, skol24,
% 48.25/48.66 skol27 ) }.
% 48.25/48.66 parent0[0]: (547) {G2,W10,D2,L2,V4,M2} F(536) { ! cong( X, Y, Z, T ), cong
% 48.25/48.66 ( X, Y, X, Y ) }.
% 48.25/48.66 parent1[0]: (49380) {G17,W5,D2,L1,V0,M1} R(48662,68) { cong( skol24, skol27
% 48.25/48.66 , skol24, skol22 ) }.
% 48.25/48.66 substitution0:
% 48.25/48.66 X := skol24
% 48.25/48.66 Y := skol27
% 48.25/48.66 Z := skol24
% 48.25/48.66 T := skol22
% 48.25/48.66 end
% 48.25/48.66 substitution1:
% 48.25/48.66 end
% 48.25/48.66
% 48.25/48.66 subsumption: (49397) {G18,W5,D2,L1,V0,M1} R(49380,547) { cong( skol24,
% 48.25/48.66 skol27, skol24, skol27 ) }.
% 48.25/48.66 parent0: (83143) {G3,W5,D2,L1,V0,M1} { cong( skol24, skol27, skol24,
% 48.25/48.66 skol27 ) }.
% 48.25/48.66 substitution0:
% 48.25/48.66 end
% 48.25/48.66 permutation0:
% 48.25/48.66 0 ==> 0
% 48.25/48.66 end
% 48.25/48.66
% 48.25/48.66 resolution: (83146) {G2,W15,D2,L3,V2,M3} { ! cong( skol24, X, skol24,
% 48.25/48.66 skol27 ), ! cong( skol24, skol27, skol24, Y ), cyclic( skol27, X, Y,
% 48.25/48.66 skol22 ) }.
% 48.25/48.66 parent0[2]: (518) {G1,W20,D2,L4,V5,M4} R(23,12) { ! cong( X, Y, X, Z ), !
% 48.25/48.66 cong( X, Z, X, T ), ! cong( X, Z, X, U ), cyclic( Z, Y, T, U ) }.
% 48.25/48.66 parent1[0]: (49380) {G17,W5,D2,L1,V0,M1} R(48662,68) { cong( skol24, skol27
% 48.25/48.66 , skol24, skol22 ) }.
% 48.25/48.66 substitution0:
% 48.25/48.66 X := skol24
% 48.25/48.66 Y := X
% 48.25/48.66 Z := skol27
% 48.25/48.66 T := Y
% 48.25/48.66 U := skol22
% 48.25/48.66 end
% 48.25/48.66 substitution1:
% 48.25/48.66 end
% 48.25/48.66
% 48.25/48.66 subsumption: (49439) {G18,W15,D2,L3,V2,M3} R(49380,518) { ! cong( skol24, X
% 48.25/48.66 , skol24, skol27 ), ! cong( skol24, skol27, skol24, Y ), cyclic( skol27,
% 48.25/48.66 X, Y, skol22 ) }.
% 48.25/48.66 parent0: (83146) {G2,W15,D2,L3,V2,M3} { ! cong( skol24, X, skol24, skol27
% 48.25/48.66 ), ! cong( skol24, skol27, skol24, Y ), cyclic( skol27, X, Y, skol22 )
% 48.25/48.66 }.
% 48.25/48.66 substitution0:
% 48.25/48.66 X := X
% 48.25/48.66 Y := Y
% 48.25/48.66 end
% 48.25/48.66 permutation0:
% 48.25/48.66 0 ==> 0
% 48.25/48.66 1 ==> 1
% 48.25/48.66 2 ==> 2
% 48.25/48.66 end
% 48.25/48.66
% 48.25/48.66 factor: (83150) {G18,W10,D2,L2,V0,M2} { ! cong( skol24, skol27, skol24,
% 48.25/48.66 skol27 ), cyclic( skol27, skol27, skol27, skol22 ) }.
% 48.25/48.66 parent0[0, 1]: (49439) {G18,W15,D2,L3,V2,M3} R(49380,518) { ! cong( skol24
% 48.25/48.66 , X, skol24, skol27 ), ! cong( skol24, skol27, skol24, Y ), cyclic(
% 48.25/48.66 skol27, X, Y, skol22 ) }.
% 48.25/48.66 substitution0:
% 48.25/48.66 X := skol27
% 48.25/48.66 Y := skol27
% 48.25/48.66 end
% 48.25/48.66
% 48.25/48.66 resolution: (83151) {G19,W5,D2,L1,V0,M1} { cyclic( skol27, skol27, skol27
% 48.25/48.66 , skol22 ) }.
% 48.25/48.66 parent0[0]: (83150) {G18,W10,D2,L2,V0,M2} { ! cong( skol24, skol27, skol24
% 48.25/48.66 , skol27 ), cyclic( skol27, skol27, skol27, skol22 ) }.
% 48.25/48.66 parent1[0]: (49397) {G18,W5,D2,L1,V0,M1} R(49380,547) { cong( skol24,
% 48.25/48.66 skol27, skol24, skol27 ) }.
% 48.25/48.66 substitution0:
% 48.25/48.66 end
% 48.25/48.66 substitution1:
% 48.25/48.66 end
% 48.25/48.66
% 48.25/48.66 subsumption: (49486) {G19,W5,D2,L1,V0,M1} F(49439);r(49397) { cyclic(
% 48.25/48.66 skol27, skol27, skol27, skol22 ) }.
% 48.25/48.66 parent0: (83151) {G19,W5,D2,L1,V0,M1} { cyclic( skol27, skol27, skol27,
% 48.25/48.66 skol22 ) }.
% 48.25/48.66 substitution0:
% 48.25/48.66 end
% 48.25/48.66 permutation0:
% 48.25/48.66 0 ==> 0
% 48.25/48.66 end
% 48.25/48.66
% 48.25/48.66 resolution: (83152) {G3,W5,D2,L1,V0,M1} { cyclic( skol27, skol27, skol22,
% 48.25/48.66 skol22 ) }.
% 48.25/48.66 parent0[0]: (433) {G2,W10,D2,L2,V4,M2} F(424) { ! cyclic( X, Y, Z, T ),
% 48.25/48.66 cyclic( Z, Y, T, T ) }.
% 48.25/48.66 parent1[0]: (49486) {G19,W5,D2,L1,V0,M1} F(49439);r(49397) { cyclic( skol27
% 48.25/48.66 , skol27, skol27, skol22 ) }.
% 48.25/48.66 substitution0:
% 48.25/48.66 X := skol27
% 48.25/48.66 Y := skol27
% 48.25/48.66 Z := skol27
% 48.25/48.66 T := skol22
% 48.25/48.66 end
% 48.25/48.66 substitution1:
% 48.25/48.66 end
% 48.25/48.66
% 48.25/48.66 subsumption: (52262) {G20,W5,D2,L1,V0,M1} R(49486,433) { cyclic( skol27,
% 48.25/48.66 skol27, skol22, skol22 ) }.
% 48.25/48.66 parent0: (83152) {G3,W5,D2,L1,V0,M1} { cyclic( skol27, skol27, skol22,
% 48.25/48.66 skol22 ) }.
% 48.25/48.66 substitution0:
% 48.25/48.66 end
% 48.25/48.66 permutation0:
% 48.25/48.66 0 ==> 0
% 48.25/48.66 end
% 48.25/48.66
% 48.25/48.66 resolution: (83153) {G2,W5,D2,L1,V0,M1} { cyclic( skol22, skol27, skol27,
% 48.25/48.66 skol22 ) }.
% 48.25/48.66 parent0[1]: (406) {G1,W10,D2,L2,V4,M2} R(15,14) { cyclic( X, Y, Z, T ), !
% 48.25/48.66 cyclic( Y, Z, X, T ) }.
% 48.25/48.66 parent1[0]: (52262) {G20,W5,D2,L1,V0,M1} R(49486,433) { cyclic( skol27,
% 48.25/48.66 skol27, skol22, skol22 ) }.
% 48.25/48.66 substitution0:
% 48.25/48.66 X := skol22
% 48.25/48.66 Y := skol27
% 48.25/48.66 Z := skol27
% 48.25/48.66 T := skol22
% 48.25/48.66 end
% 48.25/48.66 substitution1:
% 48.25/48.66 end
% 48.25/48.66
% 48.25/48.66 subsumption: (52293) {G21,W5,D2,L1,V0,M1} R(52262,406) { cyclic( skol22,
% 48.25/48.66 skol27, skol27, skol22 ) }.
% 48.25/48.66 parent0: (83153) {G2,W5,D2,L1,V0,M1} { cyclic( skol22, skol27, skol27,
% 48.25/48.66 skol22 ) }.
% 48.25/48.66 substitution0:
% 48.25/48.66 end
% 48.25/48.66 permutation0:
% 48.25/48.66 0 ==> 0
% 48.25/48.66 end
% 48.25/48.66
% 48.25/48.66 resolution: (83154) {G2,W5,D2,L1,V0,M1} { cyclic( skol22, skol22, skol27,
% 48.25/48.66 skol27 ) }.
% 48.25/48.66 parent0[1]: (394) {G1,W10,D2,L2,V4,M2} R(14,13) { cyclic( X, Y, Z, T ), !
% 48.25/48.66 cyclic( X, Z, T, Y ) }.
% 48.25/48.66 parent1[0]: (52293) {G21,W5,D2,L1,V0,M1} R(52262,406) { cyclic( skol22,
% 48.25/48.66 skol27, skol27, skol22 ) }.
% 48.25/48.66 substitution0:
% 48.25/48.66 X := skol22
% 48.25/48.66 Y := skol22
% 48.25/48.66 Z := skol27
% 48.25/48.66 T := skol27
% 48.25/48.66 end
% 48.25/48.66 substitution1:
% 48.25/48.66 end
% 48.25/48.66
% 48.25/48.66 subsumption: (52307) {G22,W5,D2,L1,V0,M1} R(52293,394) { cyclic( skol22,
% 48.25/48.66 skol22, skol27, skol27 ) }.
% 48.25/48.66 parent0: (83154) {G2,W5,D2,L1,V0,M1} { cyclic( skol22, skol22, skol27,
% 48.25/48.66 skol27 ) }.
% 48.25/48.66 substitution0:
% 48.25/48.66 end
% 48.25/48.66 permutation0:
% 48.25/48.66 0 ==> 0
% 48.25/48.66 end
% 48.25/48.66
% 48.25/48.66 resolution: (83155) {G2,W10,D2,L2,V0,M2} { ! cong( skol22, skol27, skol22
% 48.25/48.66 , skol27 ), perp( skol27, skol22, skol22, skol27 ) }.
% 48.25/48.66 parent0[1]: (135) {G1,W15,D2,L3,V3,M3} F(57) { ! cong( X, Y, Z, Y ), !
% 48.25/48.66 cyclic( X, Z, Y, Y ), perp( Y, X, X, Y ) }.
% 48.25/48.66 parent1[0]: (52307) {G22,W5,D2,L1,V0,M1} R(52293,394) { cyclic( skol22,
% 48.25/48.66 skol22, skol27, skol27 ) }.
% 48.25/48.66 substitution0:
% 48.25/48.66 X := skol22
% 48.25/48.66 Y := skol27
% 48.25/48.66 Z := skol22
% 48.25/48.66 end
% 48.25/48.66 substitution1:
% 48.25/48.66 end
% 48.25/48.66
% 48.25/48.66 resolution: (83156) {G3,W5,D2,L1,V0,M1} { perp( skol27, skol22, skol22,
% 48.25/48.66 skol27 ) }.
% 48.25/48.66 parent0[0]: (83155) {G2,W10,D2,L2,V0,M2} { ! cong( skol22, skol27, skol22
% 48.25/48.66 , skol27 ), perp( skol27, skol22, skol22, skol27 ) }.
% 48.25/48.66 parent1[0]: (25562) {G6,W5,D2,L1,V0,M1} R(547,2561) { cong( skol22, skol27
% 48.25/48.66 , skol22, skol27 ) }.
% 48.25/48.66 substitution0:
% 48.25/48.66 end
% 48.25/48.66 substitution1:
% 48.25/48.66 end
% 48.25/48.66
% 48.25/48.66 subsumption: (52370) {G23,W5,D2,L1,V0,M1} R(52307,135);r(25562) { perp(
% 48.25/48.66 skol27, skol22, skol22, skol27 ) }.
% 48.25/48.66 parent0: (83156) {G3,W5,D2,L1,V0,M1} { perp( skol27, skol22, skol22,
% 48.25/48.66 skol27 ) }.
% 48.25/48.66 substitution0:
% 48.25/48.66 end
% 48.25/48.66 permutation0:
% 48.25/48.66 0 ==> 0
% 48.25/48.66 end
% 48.25/48.66
% 48.25/48.66 resolution: (83157) {G2,W5,D2,L1,V0,M1} { perp( skol27, skol22, skol27,
% 48.25/48.66 skol22 ) }.
% 48.25/48.66 parent0[1]: (273) {G1,W10,D2,L2,V4,M2} R(7,6) { perp( X, Y, Z, T ), ! perp
% 48.25/48.66 ( Z, T, Y, X ) }.
% 48.25/48.66 parent1[0]: (52370) {G23,W5,D2,L1,V0,M1} R(52307,135);r(25562) { perp(
% 48.25/48.66 skol27, skol22, skol22, skol27 ) }.
% 48.25/48.66 substitution0:
% 48.25/48.66 X := skol27
% 48.25/48.66 Y := skol22
% 48.25/48.66 Z := skol27
% 48.25/48.66 T := skol22
% 48.25/48.66 end
% 48.25/48.66 substitution1:
% 48.25/48.66 end
% 48.25/48.66
% 48.25/48.66 subsumption: (52420) {G24,W5,D2,L1,V0,M1} R(52370,273) { perp( skol27,
% 48.25/48.66 skol22, skol27, skol22 ) }.
% 48.25/48.66 parent0: (83157) {G2,W5,D2,L1,V0,M1} { perp( skol27, skol22, skol27,
% 48.25/48.66 skol22 ) }.
% 48.25/48.66 substitution0:
% 48.25/48.66 end
% 48.25/48.66 permutation0:
% 48.25/48.66 0 ==> 0
% 48.25/48.66 end
% 48.25/48.66
% 48.25/48.66 resolution: (83158) {G2,W10,D2,L2,V2,M2} { ! perp( skol27, skol22, X, Y )
% 48.25/48.66 , para( X, Y, skol27, skol22 ) }.
% 48.25/48.66 parent0[0]: (292) {G1,W15,D2,L3,V6,M3} R(8,4) { ! perp( X, Y, Z, T ), !
% 48.25/48.66 perp( Z, T, U, W ), para( U, W, X, Y ) }.
% 48.25/48.66 parent1[0]: (52420) {G24,W5,D2,L1,V0,M1} R(52370,273) { perp( skol27,
% 48.25/48.66 skol22, skol27, skol22 ) }.
% 48.25/48.66 substitution0:
% 48.25/48.66 X := skol27
% 48.25/48.66 Y := skol22
% 48.25/48.66 Z := skol27
% 48.25/48.66 T := skol22
% 48.25/48.66 U := X
% 48.25/48.66 W := Y
% 48.25/48.66 end
% 48.25/48.66 substitution1:
% 48.25/48.66 end
% 48.25/48.66
% 48.25/48.66 subsumption: (52468) {G25,W10,D2,L2,V2,M2} R(52420,292) { ! perp( skol27,
% 48.25/48.66 skol22, X, Y ), para( X, Y, skol27, skol22 ) }.
% 48.25/48.66 parent0: (83158) {G2,W10,D2,L2,V2,M2} { ! perp( skol27, skol22, X, Y ),
% 48.25/48.66 para( X, Y, skol27, skol22 ) }.
% 48.25/48.66 substitution0:
% 48.25/48.66 X := X
% 48.25/48.66 Y := Y
% 48.25/48.66 end
% 48.25/48.66 permutation0:
% 48.25/48.66 0 ==> 0
% 48.25/48.66 1 ==> 1
% 48.25/48.66 end
% 48.25/48.66
% 48.25/48.66 resolution: (83160) {G3,W5,D2,L1,V0,M1} { para( skol24, skol20, skol22,
% 48.25/48.66 skol22 ) }.
% 48.25/48.66 parent0[0]: (1960) {G2,W9,D2,L2,V2,M2} R(63,345) { ! midp( skol27, X, Y ),
% 48.25/48.66 para( X, skol20, Y, skol22 ) }.
% 48.25/48.66 parent1[0]: (48644) {G16,W4,D2,L1,V0,M1} R(48611,24275) { midp( skol27,
% 48.25/48.66 skol24, skol22 ) }.
% 48.25/48.66 substitution0:
% 48.25/48.66 X := skol24
% 48.25/48.66 Y := skol22
% 48.25/48.66 end
% 48.25/48.66 substitution1:
% 48.25/48.66 end
% 48.25/48.66
% 48.25/48.66 subsumption: (72346) {G17,W5,D2,L1,V0,M1} R(1960,48644) { para( skol24,
% 48.25/48.66 skol20, skol22, skol22 ) }.
% 48.25/48.66 parent0: (83160) {G3,W5,D2,L1,V0,M1} { para( skol24, skol20, skol22,
% 48.25/48.66 skol22 ) }.
% 48.25/48.66 substitution0:
% 48.25/48.66 end
% 48.25/48.66 permutation0:
% 48.25/48.66 0 ==> 0
% 48.25/48.66 end
% 48.25/48.66
% 48.25/48.66 resolution: (83161) {G4,W5,D2,L1,V0,M1} { ! para( skol22, skol22, skol23,
% 48.25/48.66 skol22 ) }.
% 48.25/48.66 parent0[0]: (302) {G3,W10,D2,L2,V2,M2} R(300,5) { ! para( skol24, skol20, X
% 48.25/48.66 , Y ), ! para( X, Y, skol23, skol22 ) }.
% 48.25/48.66 parent1[0]: (72346) {G17,W5,D2,L1,V0,M1} R(1960,48644) { para( skol24,
% 48.25/48.66 skol20, skol22, skol22 ) }.
% 48.25/48.66 substitution0:
% 48.25/48.66 X := skol22
% 48.25/48.66 Y := skol22
% 48.25/48.66 end
% 48.25/48.66 substitution1:
% 48.25/48.66 end
% 48.25/48.66
% 48.25/48.66 subsumption: (72440) {G18,W5,D2,L1,V0,M1} R(72346,302) { ! para( skol22,
% 48.25/48.66 skol22, skol23, skol22 ) }.
% 48.25/48.66 parent0: (83161) {G4,W5,D2,L1,V0,M1} { ! para( skol22, skol22, skol23,
% 48.25/48.66 skol22 ) }.
% 48.25/48.66 substitution0:
% 48.25/48.66 end
% 48.25/48.66 permutation0:
% 48.25/48.66 0 ==> 0
% 48.25/48.66 end
% 48.25/48.66
% 48.25/48.66 resolution: (83162) {G2,W15,D2,L3,V4,M3} { ! para( X, Y, Z, T ), ! perp( Z
% 48.25/48.66 , T, skol23, skol22 ), ! perp( skol22, skol22, X, Y ) }.
% 48.25/48.66 parent0[0]: (72440) {G18,W5,D2,L1,V0,M1} R(72346,302) { ! para( skol22,
% 48.25/48.66 skol22, skol23, skol22 ) }.
% 48.25/48.66 parent1[3]: (312) {G1,W20,D2,L4,V8,M4} R(9,8) { ! para( X, Y, Z, T ), !
% 48.25/48.66 perp( Z, T, U, W ), ! perp( V0, V1, X, Y ), para( V0, V1, U, W ) }.
% 48.25/48.66 substitution0:
% 48.25/48.66 end
% 48.25/48.66 substitution1:
% 48.25/48.66 X := X
% 48.25/48.66 Y := Y
% 48.25/48.66 Z := Z
% 48.25/48.66 T := T
% 48.25/48.66 U := skol23
% 48.25/48.66 W := skol22
% 48.25/48.66 V0 := skol22
% 48.25/48.66 V1 := skol22
% 48.25/48.66 end
% 48.25/48.66
% 48.25/48.66 subsumption: (72480) {G19,W15,D2,L3,V4,M3} R(72440,312) { ! para( X, Y, Z,
% 48.25/48.66 T ), ! perp( Z, T, skol23, skol22 ), ! perp( skol22, skol22, X, Y ) }.
% 48.25/48.66 parent0: (83162) {G2,W15,D2,L3,V4,M3} { ! para( X, Y, Z, T ), ! perp( Z, T
% 48.25/48.66 , skol23, skol22 ), ! perp( skol22, skol22, X, Y ) }.
% 48.25/48.66 substitution0:
% 48.25/48.66 X := X
% 48.25/48.66 Y := Y
% 48.25/48.66 Z := Z
% 48.25/48.66 T := T
% 48.25/48.66 end
% 48.25/48.66 permutation0:
% 48.25/48.66 0 ==> 0
% 48.25/48.66 1 ==> 1
% 48.25/48.66 2 ==> 2
% 48.25/48.66 end
% 48.25/48.66
% 48.25/48.66 factor: (83164) {G19,W10,D2,L2,V0,M2} { ! para( skol23, skol22, skol22,
% 48.25/48.66 skol22 ), ! perp( skol22, skol22, skol23, skol22 ) }.
% 48.25/48.66 parent0[1, 2]: (72480) {G19,W15,D2,L3,V4,M3} R(72440,312) { ! para( X, Y, Z
% 48.25/48.66 , T ), ! perp( Z, T, skol23, skol22 ), ! perp( skol22, skol22, X, Y ) }.
% 48.25/48.66 substitution0:
% 48.25/48.66 X := skol23
% 48.25/48.66 Y := skol22
% 48.25/48.66 Z := skol22
% 48.25/48.66 T := skol22
% 48.25/48.66 end
% 48.25/48.66
% 48.25/48.66 resolution: (83165) {G9,W10,D2,L2,V0,M2} { ! perp( skol22, skol22, skol23
% 48.25/48.66 , skol22 ), ! perp( skol22, skol22, skol23, skol22 ) }.
% 48.25/48.66 parent0[0]: (83164) {G19,W10,D2,L2,V0,M2} { ! para( skol23, skol22, skol22
% 48.25/48.66 , skol22 ), ! perp( skol22, skol22, skol23, skol22 ) }.
% 48.25/48.66 parent1[1]: (31508) {G8,W10,D2,L2,V2,M2} R(31483,292) { ! perp( skol22,
% 48.25/48.66 skol22, X, Y ), para( X, Y, skol22, skol22 ) }.
% 48.25/48.66 substitution0:
% 48.25/48.66 end
% 48.25/48.66 substitution1:
% 48.25/48.66 X := skol23
% 48.25/48.66 Y := skol22
% 48.25/48.66 end
% 48.25/48.66
% 48.25/48.66 factor: (83166) {G9,W5,D2,L1,V0,M1} { ! perp( skol22, skol22, skol23,
% 48.25/48.66 skol22 ) }.
% 48.25/48.66 parent0[0, 1]: (83165) {G9,W10,D2,L2,V0,M2} { ! perp( skol22, skol22,
% 48.25/48.66 skol23, skol22 ), ! perp( skol22, skol22, skol23, skol22 ) }.
% 48.25/48.66 substitution0:
% 48.25/48.66 end
% 48.25/48.66
% 48.25/48.66 subsumption: (72501) {G20,W5,D2,L1,V0,M1} F(72480);r(31508) { ! perp(
% 48.25/48.66 skol22, skol22, skol23, skol22 ) }.
% 48.25/48.66 parent0: (83166) {G9,W5,D2,L1,V0,M1} { ! perp( skol22, skol22, skol23,
% 48.25/48.66 skol22 ) }.
% 48.25/48.66 substitution0:
% 48.25/48.66 end
% 48.25/48.66 permutation0:
% 48.25/48.66 0 ==> 0
% 48.25/48.66 end
% 48.25/48.66
% 48.25/48.66 resolution: (83167) {G2,W10,D2,L2,V0,M2} { ! cong( skol22, skol23, skol22
% 48.25/48.66 , skol23 ), ! cong( skol22, skol22, skol22, skol22 ) }.
% 48.25/48.66 parent0[0]: (72501) {G20,W5,D2,L1,V0,M1} F(72480);r(31508) { ! perp( skol22
% 48.25/48.66 , skol22, skol23, skol22 ) }.
% 48.25/48.66 parent1[1]: (1725) {G1,W15,D2,L3,V4,M3} R(56,22) { ! cong( X, Y, Z, Y ),
% 48.25/48.66 perp( X, Z, Y, T ), ! cong( X, T, T, Z ) }.
% 48.25/48.66 substitution0:
% 48.25/48.66 end
% 48.25/48.66 substitution1:
% 48.25/48.66 X := skol22
% 48.25/48.66 Y := skol23
% 48.25/48.66 Z := skol22
% 48.25/48.66 T := skol22
% 48.25/48.66 end
% 48.25/48.66
% 48.25/48.66 resolution: (83168) {G3,W5,D2,L1,V0,M1} { ! cong( skol22, skol23, skol22,
% 48.25/48.66 skol23 ) }.
% 48.25/48.66 parent0[1]: (83167) {G2,W10,D2,L2,V0,M2} { ! cong( skol22, skol23, skol22
% 48.25/48.66 , skol23 ), ! cong( skol22, skol22, skol22, skol22 ) }.
% 48.25/48.66 parent1[0]: (28114) {G6,W5,D2,L1,V0,M1} R(1013,8394);r(8394) { cong( skol22
% 48.25/48.66 , skol22, skol22, skol22 ) }.
% 48.25/48.66 substitution0:
% 48.25/48.66 end
% 48.25/48.66 substitution1:
% 48.25/48.66 end
% 48.25/48.66
% 48.25/48.66 subsumption: (72505) {G21,W5,D2,L1,V0,M1} R(72501,1725);r(28114) { ! cong(
% 48.25/48.66 skol22, skol23, skol22, skol23 ) }.
% 48.25/48.66 parent0: (83168) {G3,W5,D2,L1,V0,M1} { ! cong( skol22, skol23, skol22,
% 48.25/48.66 skol23 ) }.
% 48.25/48.66 substitution0:
% 48.25/48.66 end
% 48.25/48.66 permutation0:
% 48.25/48.66 0 ==> 0
% 48.25/48.66 end
% 48.25/48.66
% 48.25/48.66 resolution: (83169) {G3,W5,D2,L1,V2,M1} { ! cong( X, Y, skol22, skol23 )
% 48.25/48.66 }.
% 48.25/48.66 parent0[0]: (72505) {G21,W5,D2,L1,V0,M1} R(72501,1725);r(28114) { ! cong(
% 48.25/48.66 skol22, skol23, skol22, skol23 ) }.
% 48.25/48.66 parent1[1]: (548) {G2,W10,D2,L2,V4,M2} F(535) { ! cong( X, Y, Z, T ), cong
% 48.25/48.66 ( Z, T, Z, T ) }.
% 48.25/48.66 substitution0:
% 48.25/48.66 end
% 48.25/48.66 substitution1:
% 48.25/48.66 X := X
% 48.25/48.66 Y := Y
% 48.25/48.66 Z := skol22
% 48.25/48.66 T := skol23
% 48.25/48.66 end
% 48.25/48.66
% 48.25/48.66 subsumption: (72706) {G22,W5,D2,L1,V2,M1} R(72505,548) { ! cong( X, Y,
% 48.25/48.66 skol22, skol23 ) }.
% 48.25/48.66 parent0: (83169) {G3,W5,D2,L1,V2,M1} { ! cong( X, Y, skol22, skol23 ) }.
% 48.25/48.66 substitution0:
% 48.25/48.66 X := X
% 48.25/48.66 Y := Y
% 48.25/48.66 end
% 48.25/48.66 permutation0:
% 48.25/48.66 0 ==> 0
% 48.25/48.66 end
% 48.25/48.66
% 48.25/48.66 resolution: (83170) {G2,W5,D2,L1,V2,M1} { ! cong( skol23, skol22, X, Y )
% 48.25/48.66 }.
% 48.25/48.66 parent0[0]: (72706) {G22,W5,D2,L1,V2,M1} R(72505,548) { ! cong( X, Y,
% 48.25/48.66 skol22, skol23 ) }.
% 48.25/48.66 parent1[1]: (517) {G1,W10,D2,L2,V4,M2} R(23,22) { ! cong( X, Y, Z, T ),
% 48.25/48.66 cong( Z, T, Y, X ) }.
% 48.25/48.66 substitution0:
% 48.25/48.66 X := X
% 48.25/48.66 Y := Y
% 48.25/48.66 end
% 48.25/48.66 substitution1:
% 48.25/48.66 X := skol23
% 48.25/48.66 Y := skol22
% 48.25/48.66 Z := X
% 48.25/48.66 T := Y
% 48.25/48.66 end
% 48.25/48.66
% 48.25/48.66 subsumption: (76484) {G23,W5,D2,L1,V2,M1} R(72706,517) { ! cong( skol23,
% 48.25/48.66 skol22, X, Y ) }.
% 48.25/48.66 parent0: (83170) {G2,W5,D2,L1,V2,M1} { ! cong( skol23, skol22, X, Y ) }.
% 48.25/48.66 substitution0:
% 48.25/48.66 X := X
% 48.25/48.66 Y := Y
% 48.25/48.66 end
% 48.25/48.66 permutation0:
% 48.25/48.66 0 ==> 0
% 48.25/48.66 end
% 48.25/48.66
% 48.25/48.66 resolution: (83171) {G1,W4,D2,L1,V1,M1} { ! midp( skol23, skol22, X ) }.
% 48.25/48.66 parent0[0]: (76484) {G23,W5,D2,L1,V2,M1} R(72706,517) { ! cong( skol23,
% 48.25/48.66 skol22, X, Y ) }.
% 48.25/48.66 parent1[1]: (68) {G0,W9,D2,L2,V3,M2} I { ! midp( X, Y, Z ), cong( X, Y, X,
% 48.25/48.66 Z ) }.
% 48.25/48.66 substitution0:
% 48.25/48.66 X := skol23
% 48.25/48.66 Y := X
% 48.25/48.66 end
% 48.25/48.66 substitution1:
% 48.25/48.66 X := skol23
% 48.25/48.66 Y := skol22
% 48.25/48.66 Z := X
% 48.25/48.66 end
% 48.25/48.66
% 48.25/48.66 subsumption: (76545) {G24,W4,D2,L1,V1,M1} R(76484,68) { ! midp( skol23,
% 48.25/48.66 skol22, X ) }.
% 48.25/48.66 parent0: (83171) {G1,W4,D2,L1,V1,M1} { ! midp( skol23, skol22, X ) }.
% 48.25/48.66 substitution0:
% 48.25/48.66 X := X
% 48.25/48.66 end
% 48.25/48.66 permutation0:
% 48.25/48.66 0 ==> 0
% 48.25/48.66 end
% 48.25/48.66
% 48.25/48.66 resolution: (83172) {G1,W4,D2,L1,V1,M1} { ! midp( skol23, X, skol22 ) }.
% 48.25/48.66 parent0[0]: (76545) {G24,W4,D2,L1,V1,M1} R(76484,68) { ! midp( skol23,
% 48.25/48.66 skol22, X ) }.
% 48.25/48.66 parent1[1]: (10) {G0,W8,D2,L2,V3,M2} I { ! midp( Z, Y, X ), midp( Z, X, Y )
% 48.25/48.66 }.
% 48.25/48.66 substitution0:
% 48.25/48.66 X := X
% 48.25/48.66 end
% 48.25/48.66 substitution1:
% 48.25/48.66 X := skol22
% 48.25/48.66 Y := X
% 48.25/48.66 Z := skol23
% 48.25/48.66 end
% 48.25/48.66
% 48.25/48.66 subsumption: (76571) {G25,W4,D2,L1,V1,M1} R(76545,10) { ! midp( skol23, X,
% 48.25/48.66 skol22 ) }.
% 48.25/48.66 parent0: (83172) {G1,W4,D2,L1,V1,M1} { ! midp( skol23, X, skol22 ) }.
% 48.25/48.66 substitution0:
% 48.25/48.66 X := X
% 48.25/48.66 end
% 48.25/48.66 permutation0:
% 48.25/48.66 0 ==> 0
% 48.25/48.66 end
% 48.25/48.66
% 48.25/48.66 resolution: (83173) {G3,W10,D2,L2,V1,M2} { ! para( skol25, X, skol20,
% 48.25/48.66 skol22 ), ! para( skol25, skol22, skol20, X ) }.
% 48.25/48.66 parent0[0]: (76571) {G25,W4,D2,L1,V1,M1} R(76545,10) { ! midp( skol23, X,
% 48.25/48.66 skol22 ) }.
% 48.25/48.66 parent1[2]: (2031) {G2,W14,D2,L3,V2,M3} R(64,344) { ! para( skol25, X,
% 48.25/48.66 skol20, Y ), ! para( skol25, Y, skol20, X ), midp( skol23, X, Y ) }.
% 48.25/48.66 substitution0:
% 48.25/48.66 X := X
% 48.25/48.66 end
% 48.25/48.66 substitution1:
% 48.25/48.66 X := X
% 48.25/48.66 Y := skol22
% 48.25/48.66 end
% 48.25/48.66
% 48.25/48.66 subsumption: (80043) {G26,W10,D2,L2,V1,M2} R(2031,76571) { ! para( skol25,
% 48.25/48.66 X, skol20, skol22 ), ! para( skol25, skol22, skol20, X ) }.
% 48.25/48.66 parent0: (83173) {G3,W10,D2,L2,V1,M2} { ! para( skol25, X, skol20, skol22
% 48.25/48.66 ), ! para( skol25, skol22, skol20, X ) }.
% 48.25/48.66 substitution0:
% 48.25/48.66 X := X
% 48.25/48.66 end
% 48.25/48.66 permutation0:
% 48.25/48.66 0 ==> 0
% 48.25/48.66 1 ==> 1
% 48.25/48.66 end
% 48.25/48.66
% 48.25/48.66 factor: (83175) {G26,W5,D2,L1,V0,M1} { ! para( skol25, skol22, skol20,
% 48.25/48.66 skol22 ) }.
% 48.25/48.66 parent0[0, 1]: (80043) {G26,W10,D2,L2,V1,M2} R(2031,76571) { ! para( skol25
% 48.25/48.66 , X, skol20, skol22 ), ! para( skol25, skol22, skol20, X ) }.
% 48.25/48.66 substitution0:
% 48.25/48.66 X := skol22
% 48.25/48.66 end
% 48.25/48.66
% 48.25/48.66 subsumption: (80092) {G27,W5,D2,L1,V0,M1} F(80043) { ! para( skol25, skol22
% 48.25/48.66 , skol20, skol22 ) }.
% 48.25/48.66 parent0: (83175) {G26,W5,D2,L1,V0,M1} { ! para( skol25, skol22, skol20,
% 48.25/48.66 skol22 ) }.
% 48.25/48.66 substitution0:
% 48.25/48.66 end
% 48.25/48.66 permutation0:
% 48.25/48.66 0 ==> 0
% 48.25/48.66 end
% 48.25/48.66
% 48.25/48.66 resolution: (83176) {G3,W5,D2,L1,V0,M1} { ! para( skol27, skol24, skol20,
% 48.25/48.66 skol22 ) }.
% 48.25/48.66 parent0[0]: (80092) {G27,W5,D2,L1,V0,M1} F(80043) { ! para( skol25, skol22
% 48.25/48.66 , skol20, skol22 ) }.
% 48.25/48.66 parent1[1]: (341) {G2,W10,D2,L2,V2,M2} R(209,5) { ! para( skol27, skol24, X
% 48.25/48.66 , Y ), para( skol25, skol22, X, Y ) }.
% 48.25/48.66 substitution0:
% 48.25/48.66 end
% 48.25/48.66 substitution1:
% 48.25/48.66 X := skol20
% 48.25/48.66 Y := skol22
% 48.25/48.66 end
% 48.25/48.66
% 48.25/48.66 subsumption: (80116) {G28,W5,D2,L1,V0,M1} R(80092,341) { ! para( skol27,
% 48.25/48.66 skol24, skol20, skol22 ) }.
% 48.25/48.66 parent0: (83176) {G3,W5,D2,L1,V0,M1} { ! para( skol27, skol24, skol20,
% 48.25/48.66 skol22 ) }.
% 48.25/48.66 substitution0:
% 48.25/48.66 end
% 48.25/48.66 permutation0:
% 48.25/48.66 0 ==> 0
% 48.25/48.66 end
% 48.25/48.66
% 48.25/48.66 resolution: (83177) {G2,W4,D2,L1,V0,M1} { ! midp( skol24, skol22, skol22 )
% 48.25/48.66 }.
% 48.25/48.66 parent0[0]: (80116) {G28,W5,D2,L1,V0,M1} R(80092,341) { ! para( skol27,
% 48.25/48.66 skol24, skol20, skol22 ) }.
% 48.25/48.66 parent1[1]: (1046) {G1,W9,D2,L2,V2,M2} R(44,118) { ! midp( X, skol22, Y ),
% 48.25/48.66 para( skol27, X, skol20, Y ) }.
% 48.25/48.66 substitution0:
% 48.25/48.66 end
% 48.25/48.66 substitution1:
% 48.25/48.66 X := skol24
% 48.25/48.66 Y := skol22
% 48.25/48.66 end
% 48.25/48.66
% 48.25/48.66 subsumption: (80151) {G29,W4,D2,L1,V0,M1} R(80116,1046) { ! midp( skol24,
% 48.25/48.66 skol22, skol22 ) }.
% 48.25/48.66 parent0: (83177) {G2,W4,D2,L1,V0,M1} { ! midp( skol24, skol22, skol22 )
% 48.25/48.66 }.
% 48.25/48.66 substitution0:
% 48.25/48.66 end
% 48.25/48.66 permutation0:
% 48.25/48.66 0 ==> 0
% 48.25/48.66 end
% 48.25/48.66
% 48.25/48.66 resolution: (83178) {G2,W14,D2,L3,V2,M3} { ! para( skol27, X, skol22, Y )
% 48.25/48.66 , midp( skol24, Y, X ), ! para( skol27, Y, X, skol22 ) }.
% 48.25/48.66 parent0[0]: (2068) {G1,W18,D2,L4,V5,M4} R(64,3) { ! midp( X, Y, Z ), ! para
% 48.25/48.66 ( Y, T, Z, U ), midp( X, U, T ), ! para( Y, U, T, Z ) }.
% 48.25/48.66 parent1[0]: (48662) {G16,W4,D2,L1,V0,M1} R(48611,10) { midp( skol24, skol27
% 48.25/48.66 , skol22 ) }.
% 48.25/48.66 substitution0:
% 48.25/48.66 X := skol24
% 48.25/48.66 Y := skol27
% 48.25/48.66 Z := skol22
% 48.25/48.66 T := X
% 48.25/48.66 U := Y
% 48.25/48.66 end
% 48.25/48.66 substitution1:
% 48.25/48.66 end
% 48.25/48.66
% 48.25/48.66 subsumption: (82043) {G17,W14,D2,L3,V2,M3} R(2068,48662) { ! para( skol27,
% 48.25/48.66 X, skol22, Y ), midp( skol24, Y, X ), ! para( skol27, Y, X, skol22 ) }.
% 48.25/48.66 parent0: (83178) {G2,W14,D2,L3,V2,M3} { ! para( skol27, X, skol22, Y ),
% 48.25/48.66 midp( skol24, Y, X ), ! para( skol27, Y, X, skol22 ) }.
% 48.25/48.66 substitution0:
% 48.25/48.66 X := X
% 48.25/48.66 Y := Y
% 48.25/48.66 end
% 48.25/48.66 permutation0:
% 48.25/48.66 0 ==> 0
% 48.25/48.66 1 ==> 1
% 48.25/48.66 2 ==> 2
% 48.25/48.66 end
% 48.25/48.66
% 48.25/48.66 factor: (83180) {G17,W9,D2,L2,V0,M2} { ! para( skol27, skol22, skol22,
% 48.25/48.66 skol22 ), midp( skol24, skol22, skol22 ) }.
% 48.25/48.66 parent0[0, 2]: (82043) {G17,W14,D2,L3,V2,M3} R(2068,48662) { ! para( skol27
% 48.25/48.66 , X, skol22, Y ), midp( skol24, Y, X ), ! para( skol27, Y, X, skol22 )
% 48.25/48.66 }.
% 48.25/48.66 substitution0:
% 48.25/48.66 X := skol22
% 48.25/48.66 Y := skol22
% 48.25/48.66 end
% 48.25/48.66
% 48.25/48.66 resolution: (83181) {G18,W5,D2,L1,V0,M1} { ! para( skol27, skol22, skol22
% 48.25/48.66 , skol22 ) }.
% 48.25/48.66 parent0[0]: (80151) {G29,W4,D2,L1,V0,M1} R(80116,1046) { ! midp( skol24,
% 48.25/48.66 skol22, skol22 ) }.
% 48.25/48.66 parent1[1]: (83180) {G17,W9,D2,L2,V0,M2} { ! para( skol27, skol22, skol22
% 48.25/48.66 , skol22 ), midp( skol24, skol22, skol22 ) }.
% 48.25/48.66 substitution0:
% 48.25/48.66 end
% 48.25/48.66 substitution1:
% 48.25/48.66 end
% 48.25/48.66
% 48.25/48.66 subsumption: (82133) {G30,W5,D2,L1,V0,M1} F(82043);r(80151) { ! para(
% 48.25/48.66 skol27, skol22, skol22, skol22 ) }.
% 48.25/48.66 parent0: (83181) {G18,W5,D2,L1,V0,M1} { ! para( skol27, skol22, skol22,
% 48.25/48.66 skol22 ) }.
% 48.25/48.66 substitution0:
% 48.25/48.66 end
% 48.25/48.66 permutation0:
% 48.25/48.66 0 ==> 0
% 48.25/48.66 end
% 48.25/48.66
% 48.25/48.66 resolution: (83182) {G2,W15,D2,L3,V4,M3} { ! para( X, Y, Z, T ), ! perp( Z
% 48.25/48.66 , T, skol22, skol22 ), ! perp( skol27, skol22, X, Y ) }.
% 48.25/48.66 parent0[0]: (82133) {G30,W5,D2,L1,V0,M1} F(82043);r(80151) { ! para( skol27
% 48.25/48.66 , skol22, skol22, skol22 ) }.
% 48.25/48.66 parent1[3]: (312) {G1,W20,D2,L4,V8,M4} R(9,8) { ! para( X, Y, Z, T ), !
% 48.25/48.66 perp( Z, T, U, W ), ! perp( V0, V1, X, Y ), para( V0, V1, U, W ) }.
% 48.25/48.66 substitution0:
% 48.25/48.66 end
% 48.25/48.66 substitution1:
% 48.25/48.66 X := X
% 48.25/48.66 Y := Y
% 48.25/48.66 Z := Z
% 48.25/48.66 T := T
% 48.25/48.66 U := skol22
% 48.25/48.66 W := skol22
% 48.25/48.66 V0 := skol27
% 48.25/48.66 V1 := skol22
% 48.25/48.66 end
% 48.25/48.66
% 48.25/48.66 subsumption: (82158) {G31,W15,D2,L3,V4,M3} R(82133,312) { ! para( X, Y, Z,
% 48.25/48.66 T ), ! perp( Z, T, skol22, skol22 ), ! perp( skol27, skol22, X, Y ) }.
% 48.25/48.66 parent0: (83182) {G2,W15,D2,L3,V4,M3} { ! para( X, Y, Z, T ), ! perp( Z, T
% 48.25/48.66 , skol22, skol22 ), ! perp( skol27, skol22, X, Y ) }.
% 48.25/48.66 substitution0:
% 48.25/48.66 X := X
% 48.25/48.66 Y := Y
% 48.25/48.66 Z := Z
% 48.25/48.66 T := T
% 48.25/48.66 end
% 48.25/48.66 permutation0:
% 48.25/48.66 0 ==> 0
% 48.25/48.66 1 ==> 1
% 48.25/48.66 2 ==> 2
% 48.25/48.66 end
% 48.25/48.66
% 48.25/48.66 factor: (83184) {G31,W10,D2,L2,V0,M2} { ! para( skol22, skol22, skol27,
% 48.25/48.66 skol22 ), ! perp( skol27, skol22, skol22, skol22 ) }.
% 48.25/48.66 parent0[1, 2]: (82158) {G31,W15,D2,L3,V4,M3} R(82133,312) { ! para( X, Y, Z
% 48.25/48.66 , T ), ! perp( Z, T, skol22, skol22 ), ! perp( skol27, skol22, X, Y ) }.
% 48.25/48.66 substitution0:
% 48.25/48.66 X := skol22
% 48.25/48.66 Y := skol22
% 48.25/48.66 Z := skol27
% 48.25/48.66 T := skol22
% 48.25/48.66 end
% 48.25/48.66
% 48.25/48.66 resolution: (83185) {G26,W10,D2,L2,V0,M2} { ! perp( skol27, skol22, skol22
% 48.25/48.66 , skol22 ), ! perp( skol27, skol22, skol22, skol22 ) }.
% 48.25/48.66 parent0[0]: (83184) {G31,W10,D2,L2,V0,M2} { ! para( skol22, skol22, skol27
% 48.25/48.66 , skol22 ), ! perp( skol27, skol22, skol22, skol22 ) }.
% 48.25/48.66 parent1[1]: (52468) {G25,W10,D2,L2,V2,M2} R(52420,292) { ! perp( skol27,
% 48.25/48.66 skol22, X, Y ), para( X, Y, skol27, skol22 ) }.
% 48.25/48.66 substitution0:
% 48.25/48.66 end
% 48.25/48.66 substitution1:
% 48.25/48.66 X := skol22
% 48.25/48.66 Y := skol22
% 48.25/48.66 end
% 48.25/48.66
% 48.25/48.66 factor: (83186) {G26,W5,D2,L1,V0,M1} { ! perp( skol27, skol22, skol22,
% 48.25/48.66 skol22 ) }.
% 48.25/48.66 parent0[0, 1]: (83185) {G26,W10,D2,L2,V0,M2} { ! perp( skol27, skol22,
% 48.25/48.66 skol22, skol22 ), ! perp( skol27, skol22, skol22, skol22 ) }.
% 48.25/48.66 substitution0:
% 48.25/48.66 end
% 48.25/48.66
% 48.25/48.66 subsumption: (82175) {G32,W5,D2,L1,V0,M1} F(82158);r(52468) { ! perp(
% 48.25/48.66 skol27, skol22, skol22, skol22 ) }.
% 48.25/48.66 parent0: (83186) {G26,W5,D2,L1,V0,M1} { ! perp( skol27, skol22, skol22,
% 48.25/48.66 skol22 ) }.
% 48.25/48.66 substitution0:
% 48.25/48.66 end
% 48.25/48.66 permutation0:
% 48.25/48.66 0 ==> 0
% 48.25/48.66 end
% 48.25/48.66
% 48.25/48.66 resolution: (83187) {G6,W0,D0,L0,V0,M0} { }.
% 48.25/48.66 parent0[0]: (82175) {G32,W5,D2,L1,V0,M1} F(82158);r(52468) { ! perp( skol27
% 48.25/48.66 , skol22, skol22, skol22 ) }.
% 48.25/48.66 parent1[0]: (43836) {G5,W5,D2,L1,V0,M1} R(1325,25605);r(8279) { perp(
% 48.25/48.66 skol27, skol22, skol22, skol22 ) }.
% 48.25/48.66 substitution0:
% 48.25/48.66 end
% 48.25/48.66 substitution1:
% 48.25/48.66 end
% 48.25/48.66
% 48.25/48.66 subsumption: (82176) {G33,W0,D0,L0,V0,M0} S(82175);r(43836) { }.
% 48.25/48.66 parent0: (83187) {G6,W0,D0,L0,V0,M0} { }.
% 48.25/48.66 substitution0:
% 48.25/48.66 end
% 48.25/48.66 permutation0:
% 48.25/48.66 end
% 48.25/48.66
% 48.25/48.66 Proof check complete!
% 48.25/48.66
% 48.25/48.66 Memory use:
% 48.25/48.66
% 48.25/48.66 space for terms: 1166041
% 48.25/48.66 space for clauses: 3892054
% 48.25/48.66
% 48.25/48.66
% 48.25/48.66 clauses generated: 564171
% 48.25/48.66 clauses kept: 82177
% 48.25/48.66 clauses selected: 4180
% 48.25/48.66 clauses deleted: 21931
% 48.25/48.66 clauses inuse deleted: 1059
% 48.25/48.66
% 48.25/48.66 subsentry: 14632470
% 48.25/48.66 literals s-matched: 9506616
% 48.25/48.66 literals matched: 5269790
% 48.25/48.66 full subsumption: 2719566
% 48.25/48.66
% 48.25/48.66 checksum: 142500485
% 48.25/48.66
% 48.25/48.66
% 48.25/48.66 Bliksem ended
%------------------------------------------------------------------------------