TSTP Solution File: GEO625+1 by Bliksem---1.12
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : GEO625+1 : TPTP v8.1.0. Released v7.5.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n012.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 02:55:11 EDT 2022
% Result : Theorem 121.04s 121.46s
% Output : Refutation 121.04s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.13 % Problem : GEO625+1 : TPTP v8.1.0. Released v7.5.0.
% 0.08/0.14 % Command : bliksem %s
% 0.15/0.36 % Computer : n012.cluster.edu
% 0.15/0.36 % Model : x86_64 x86_64
% 0.15/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36 % Memory : 8042.1875MB
% 0.15/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36 % CPULimit : 300
% 0.15/0.36 % DateTime : Sat Jun 18 14:10:23 EDT 2022
% 0.15/0.36 % CPUTime :
% 0.86/1.20 *** allocated 10000 integers for termspace/termends
% 0.86/1.20 *** allocated 10000 integers for clauses
% 0.86/1.20 *** allocated 10000 integers for justifications
% 0.86/1.20 Bliksem 1.12
% 0.86/1.20
% 0.86/1.20
% 0.86/1.20 Automatic Strategy Selection
% 0.86/1.20
% 0.86/1.20 *** allocated 15000 integers for termspace/termends
% 0.86/1.20
% 0.86/1.20 Clauses:
% 0.86/1.20
% 0.86/1.20 { ! coll( X, Y, Z ), coll( X, Z, Y ) }.
% 0.86/1.20 { ! coll( X, Y, Z ), coll( Y, X, Z ) }.
% 0.86/1.20 { ! coll( X, T, Y ), ! coll( X, T, Z ), coll( Y, Z, X ) }.
% 0.86/1.20 { ! para( X, Y, Z, T ), para( X, Y, T, Z ) }.
% 0.86/1.20 { ! para( X, Y, Z, T ), para( Z, T, X, Y ) }.
% 0.86/1.20 { ! para( X, Y, U, W ), ! para( U, W, Z, T ), para( X, Y, Z, T ) }.
% 0.86/1.20 { ! perp( X, Y, Z, T ), perp( X, Y, T, Z ) }.
% 0.86/1.20 { ! perp( X, Y, Z, T ), perp( Z, T, X, Y ) }.
% 0.86/1.20 { ! perp( X, Y, U, W ), ! perp( U, W, Z, T ), para( X, Y, Z, T ) }.
% 0.86/1.20 { ! para( X, Y, U, W ), ! perp( U, W, Z, T ), perp( X, Y, Z, T ) }.
% 0.86/1.20 { ! midp( Z, Y, X ), midp( Z, X, Y ) }.
% 0.86/1.20 { ! cong( T, X, T, Y ), ! cong( T, X, T, Z ), circle( T, X, Y, Z ) }.
% 0.86/1.20 { ! cong( U, X, U, Y ), ! cong( U, X, U, Z ), ! cong( U, X, U, T ), cyclic
% 0.86/1.20 ( X, Y, Z, T ) }.
% 0.86/1.20 { ! cyclic( X, Y, Z, T ), cyclic( X, Y, T, Z ) }.
% 0.86/1.20 { ! cyclic( X, Y, Z, T ), cyclic( X, Z, Y, T ) }.
% 0.86/1.20 { ! cyclic( X, Y, Z, T ), cyclic( Y, X, Z, T ) }.
% 0.86/1.20 { ! cyclic( U, X, Y, Z ), ! cyclic( U, X, Y, T ), cyclic( X, Y, Z, T ) }.
% 0.86/1.20 { ! eqangle( X, Y, Z, T, U, W, V0, V1 ), eqangle( Y, X, Z, T, U, W, V0, V1
% 0.86/1.20 ) }.
% 0.86/1.20 { ! eqangle( X, Y, Z, T, U, W, V0, V1 ), eqangle( Z, T, X, Y, V0, V1, U, W
% 0.86/1.20 ) }.
% 0.86/1.20 { ! eqangle( X, Y, Z, T, U, W, V0, V1 ), eqangle( U, W, V0, V1, X, Y, Z, T
% 0.86/1.20 ) }.
% 0.86/1.20 { ! eqangle( X, Y, Z, T, U, W, V0, V1 ), eqangle( X, Y, U, W, Z, T, V0, V1
% 0.86/1.20 ) }.
% 0.86/1.20 { ! eqangle( X, Y, Z, T, V2, V3, V4, V5 ), ! eqangle( V2, V3, V4, V5, U, W
% 0.86/1.20 , V0, V1 ), eqangle( X, Y, Z, T, U, W, V0, V1 ) }.
% 0.86/1.20 { ! cong( X, Y, Z, T ), cong( X, Y, T, Z ) }.
% 0.86/1.20 { ! cong( X, Y, Z, T ), cong( Z, T, X, Y ) }.
% 0.86/1.20 { ! cong( X, Y, U, W ), ! cong( U, W, Z, T ), cong( X, Y, Z, T ) }.
% 0.86/1.20 { ! eqratio( X, Y, Z, T, U, W, V0, V1 ), eqratio( Y, X, Z, T, U, W, V0, V1
% 0.86/1.20 ) }.
% 0.86/1.20 { ! eqratio( X, Y, Z, T, U, W, V0, V1 ), eqratio( Z, T, X, Y, V0, V1, U, W
% 0.86/1.20 ) }.
% 0.86/1.20 { ! eqratio( X, Y, Z, T, U, W, V0, V1 ), eqratio( U, W, V0, V1, X, Y, Z, T
% 0.86/1.20 ) }.
% 0.86/1.20 { ! eqratio( X, Y, Z, T, U, W, V0, V1 ), eqratio( X, Y, U, W, Z, T, V0, V1
% 0.86/1.20 ) }.
% 0.86/1.20 { ! eqratio( X, Y, Z, T, V2, V3, V4, V5 ), ! eqratio( V2, V3, V4, V5, U, W
% 0.86/1.20 , V0, V1 ), eqratio( X, Y, Z, T, U, W, V0, V1 ) }.
% 0.86/1.20 { ! simtri( X, Z, Y, T, W, U ), simtri( X, Y, Z, T, U, W ) }.
% 0.86/1.20 { ! simtri( Y, X, Z, U, T, W ), simtri( X, Y, Z, T, U, W ) }.
% 0.86/1.20 { ! simtri( T, U, W, X, Y, Z ), simtri( X, Y, Z, T, U, W ) }.
% 0.86/1.20 { ! simtri( X, Y, Z, V0, V1, V2 ), ! simtri( V0, V1, V2, T, U, W ), simtri
% 0.86/1.20 ( X, Y, Z, T, U, W ) }.
% 0.86/1.20 { ! contri( X, Z, Y, T, W, U ), contri( X, Y, Z, T, U, W ) }.
% 0.86/1.20 { ! contri( Y, X, Z, U, T, W ), contri( X, Y, Z, T, U, W ) }.
% 0.86/1.20 { ! contri( T, U, W, X, Y, Z ), contri( X, Y, Z, T, U, W ) }.
% 0.86/1.20 { ! contri( X, Y, Z, V0, V1, V2 ), ! contri( V0, V1, V2, T, U, W ), contri
% 0.86/1.20 ( X, Y, Z, T, U, W ) }.
% 0.86/1.20 { ! eqangle( X, Y, U, W, Z, T, U, W ), para( X, Y, Z, T ) }.
% 0.86/1.20 { ! para( X, Y, Z, T ), eqangle( X, Y, U, W, Z, T, U, W ) }.
% 0.86/1.20 { ! cyclic( X, Y, Z, T ), eqangle( Z, X, Z, Y, T, X, T, Y ) }.
% 0.86/1.20 { ! eqangle( Z, X, Z, Y, T, X, T, Y ), coll( Z, T, X ), cyclic( X, Y, Z, T
% 0.86/1.20 ) }.
% 0.86/1.20 { ! eqangle( Z, X, Z, Y, T, X, T, Y ), ! coll( Z, T, Y ), cyclic( X, Y, Z,
% 0.86/1.20 T ) }.
% 0.86/1.20 { ! cyclic( X, Y, U, Z ), ! cyclic( X, Y, U, T ), ! cyclic( X, Y, U, W ), !
% 0.86/1.20 eqangle( U, X, U, Y, W, Z, W, T ), cong( X, Y, Z, T ) }.
% 0.86/1.20 { ! midp( Z, U, X ), ! midp( T, U, Y ), para( Z, T, X, Y ) }.
% 0.86/1.20 { ! midp( U, X, T ), ! para( U, Z, T, Y ), ! coll( Z, X, Y ), midp( Z, X, Y
% 0.86/1.20 ) }.
% 0.86/1.20 { ! cong( Z, X, Z, Y ), eqangle( Z, X, X, Y, X, Y, Z, Y ) }.
% 0.86/1.20 { ! eqangle( Z, X, X, Y, X, Y, Z, Y ), coll( Z, X, Y ), cong( Z, X, Z, Y )
% 0.86/1.20 }.
% 0.86/1.20 { ! circle( U, X, Y, Z ), ! perp( U, X, X, T ), eqangle( X, T, X, Y, Z, X,
% 0.86/1.20 Z, Y ) }.
% 0.86/1.20 { ! circle( Y, X, T, U ), ! eqangle( X, Z, X, T, U, X, U, T ), perp( Y, X,
% 0.86/1.20 X, Z ) }.
% 0.86/1.20 { ! circle( T, X, Y, Z ), ! midp( U, Y, Z ), eqangle( X, Y, X, Z, T, Y, T,
% 0.86/1.20 U ) }.
% 0.86/1.20 { ! circle( U, T, X, Y ), ! coll( Z, X, Y ), ! eqangle( T, X, T, Y, U, X, U
% 0.86/1.20 , Z ), midp( Z, X, Y ) }.
% 0.86/1.20 { ! perp( X, Y, Y, T ), ! midp( Z, X, T ), cong( X, Z, Y, Z ) }.
% 0.86/1.20 { ! circle( T, X, Y, Z ), ! coll( T, X, Z ), perp( X, Y, Y, Z ) }.
% 0.86/1.20 { ! cyclic( X, Y, Z, T ), ! para( X, Y, Z, T ), eqangle( X, T, Z, T, Z, T,
% 0.86/1.20 Z, Y ) }.
% 0.86/1.20 { ! midp( T, X, Y ), ! perp( Z, T, X, Y ), cong( Z, X, Z, Y ) }.
% 0.86/1.20 { ! cong( X, Z, Y, Z ), ! cong( X, T, Y, T ), perp( X, Y, Z, T ) }.
% 0.86/1.20 { ! cong( X, Y, T, Y ), ! cong( X, Z, T, Z ), ! cyclic( X, T, Y, Z ), perp
% 0.86/1.20 ( Y, X, X, Z ) }.
% 0.86/1.20 { ! eqangle( X, Y, Y, Z, T, U, U, W ), ! eqangle( X, Z, Y, Z, T, W, U, W )
% 0.86/1.20 , coll( X, Y, Z ), simtri( X, Y, Z, T, U, W ) }.
% 0.86/1.20 { ! simtri( X, Y, Z, T, U, W ), eqratio( X, Y, X, Z, T, U, T, W ) }.
% 0.86/1.20 { ! simtri( X, Y, Z, T, U, W ), eqangle( X, Y, Y, Z, T, U, U, W ) }.
% 0.86/1.20 { ! simtri( X, Y, Z, T, U, W ), ! cong( X, Y, T, U ), contri( X, Y, Z, T, U
% 0.86/1.20 , W ) }.
% 0.86/1.20 { ! contri( X, Y, U, Z, T, W ), cong( X, Y, Z, T ) }.
% 0.86/1.20 { ! midp( U, X, Y ), ! midp( U, Z, T ), para( X, Z, Y, T ) }.
% 0.86/1.20 { ! midp( Z, T, U ), ! para( T, X, U, Y ), ! para( T, Y, U, X ), midp( Z, X
% 0.86/1.20 , Y ) }.
% 0.86/1.20 { ! para( X, Y, Z, T ), ! coll( U, X, Z ), ! coll( U, Y, T ), eqratio( U, X
% 0.86/1.20 , X, Z, U, Y, Y, T ) }.
% 0.86/1.20 { ! para( X, Y, X, Z ), coll( X, Y, Z ) }.
% 0.86/1.20 { ! cong( X, Y, X, Z ), ! coll( X, Y, Z ), midp( X, Y, Z ) }.
% 0.86/1.20 { ! midp( X, Y, Z ), cong( X, Y, X, Z ) }.
% 0.86/1.20 { ! midp( X, Y, Z ), coll( X, Y, Z ) }.
% 0.86/1.20 { ! midp( U, X, Y ), ! midp( W, Z, T ), eqratio( U, X, X, Y, W, Z, Z, T ) }
% 0.86/1.20 .
% 0.86/1.20 { ! eqangle( X, Y, Z, T, Z, T, X, Y ), para( X, Y, Z, T ), perp( X, Y, Z, T
% 0.86/1.20 ) }.
% 0.86/1.20 { ! eqangle( X, Y, Z, T, Z, T, X, Y ), perp( X, Y, Z, T ), para( X, Y, Z, T
% 0.86/1.20 ) }.
% 0.86/1.20 { ! eqangle( X, Y, Z, T, U, W, V0, V1 ), ! para( U, W, V0, V1 ), para( X, Y
% 0.86/1.20 , Z, T ) }.
% 0.86/1.20 { ! eqangle( X, Y, Z, T, U, W, V0, V1 ), ! perp( U, W, V0, V1 ), perp( X, Y
% 0.86/1.20 , Z, T ) }.
% 0.86/1.20 { ! eqratio( X, Y, Z, T, U, W, V0, V1 ), ! cong( U, W, V0, V1 ), cong( X, Y
% 0.86/1.20 , Z, T ) }.
% 0.86/1.20 { ! perp( Z, Y, Y, X ), ! eqangle( T, Z, Y, Z, Y, Z, X, Z ), coll( skol1( U
% 0.86/1.20 , W, Z, T ), Z, T ) }.
% 0.86/1.20 { ! perp( Z, Y, Y, X ), ! eqangle( T, Z, Y, Z, Y, Z, X, Z ), coll( skol1( X
% 0.86/1.20 , Y, Z, T ), X, Y ) }.
% 0.86/1.20 { ! cong( Z, X, Z, Y ), ! eqangle( X, Z, Z, T, Z, T, Z, Y ), coll( skol2( U
% 0.86/1.20 , W, Z, T ), Z, T ) }.
% 0.86/1.20 { ! cong( Z, X, Z, Y ), ! eqangle( X, Z, Z, T, Z, T, Z, Y ), coll( Y, X,
% 0.86/1.20 skol2( X, Y, Z, T ) ) }.
% 0.86/1.20 { ! perp( Z, T, X, Y ), ! eqangle( X, Z, Z, T, Z, T, Z, Y ), coll( skol3( U
% 0.86/1.20 , W, Z, T ), Z, T ) }.
% 0.86/1.20 { ! perp( Z, T, X, Y ), ! eqangle( X, Z, Z, T, Z, T, Z, Y ), coll( Y, X,
% 0.86/1.20 skol3( X, Y, Z, T ) ) }.
% 0.86/1.20 { ! perp( Z, T, X, Y ), ! cong( Z, X, Z, Y ), coll( skol4( U, W, Z, T ), Z
% 0.86/1.20 , T ) }.
% 0.86/1.20 { ! perp( Z, T, X, Y ), ! cong( Z, X, Z, Y ), coll( Y, X, skol4( X, Y, Z, T
% 0.86/1.20 ) ) }.
% 0.86/1.20 { ! eqangle( X, Z, Y, Z, X, T, Y, U ), coll( X, Y, Z ), cyclic( T, Y, Z,
% 0.86/1.20 skol5( W, Y, Z, T ) ) }.
% 0.86/1.20 { ! eqangle( X, Z, Y, Z, X, T, Y, U ), coll( X, Y, Z ), eqangle( X, Z, Y, Z
% 0.86/1.20 , X, skol5( X, Y, Z, T ), Y, skol5( X, Y, Z, T ) ) }.
% 0.86/1.20 { ! midp( U, X, Y ), ! midp( W, Z, T ), midp( skol6( X, V0, V1, T, V2, V3 )
% 0.86/1.20 , X, T ) }.
% 0.86/1.20 { ! midp( U, X, Y ), ! midp( W, Z, T ), para( skol6( X, V0, Z, T, V1, W ),
% 0.86/1.20 W, X, Z ) }.
% 0.86/1.20 { ! midp( U, X, Y ), ! midp( W, Z, T ), para( skol6( X, Y, Z, T, U, W ), U
% 0.86/1.20 , Y, T ) }.
% 0.86/1.20 { ! midp( Z, X, Y ), ! midp( W, T, U ), ! coll( T, X, Y ), ! coll( U, X, Y
% 0.86/1.20 ), midp( skol7( X, V0 ), X, V0 ) }.
% 0.86/1.20 { ! midp( T, X, U ), ! para( X, W, Z, T ), ! para( X, W, U, Y ), ! coll( W
% 0.86/1.20 , Y, Z ), coll( skol8( V0, V1, Z, T ), T, Z ) }.
% 0.86/1.20 { ! midp( T, X, U ), ! para( X, W, Z, T ), ! para( X, W, U, Y ), ! coll( W
% 0.86/1.20 , Y, Z ), coll( skol8( X, Y, Z, T ), X, Y ) }.
% 0.86/1.20 { ! cong( T, Z, T, U ), ! perp( X, Y, Y, T ), cong( T, Z, T, skol9( W, V0,
% 0.86/1.20 Z, T ) ) }.
% 0.86/1.20 { ! cong( T, Z, T, U ), ! perp( X, Y, Y, T ), cong( Y, Z, Y, skol9( W, Y, Z
% 0.86/1.20 , T ) ) }.
% 0.86/1.20 { ! cong( T, Z, T, U ), ! perp( X, Y, Y, T ), para( skol9( X, Y, Z, T ), Z
% 0.86/1.20 , X, Y ) }.
% 0.86/1.20 { ! perp( X, T, Y, Z ), ! perp( Y, T, X, Z ), coll( skol10( U, Y, Z ), Z, Y
% 0.86/1.20 ) }.
% 0.86/1.20 { ! perp( X, T, Y, Z ), ! perp( Y, T, X, Z ), perp( X, skol10( X, Y, Z ), Z
% 0.86/1.20 , Y ) }.
% 0.86/1.20 { ! perp( X, T, Y, Z ), ! perp( Y, T, X, Z ), alpha1( X, Y, Z ) }.
% 0.86/1.20 { ! alpha1( X, Y, Z ), coll( skol11( X, T, Z ), Z, X ) }.
% 0.86/1.20 { ! alpha1( X, Y, Z ), perp( Y, skol11( X, Y, Z ), Z, X ) }.
% 0.86/1.20 { ! coll( T, Z, X ), ! perp( Y, T, Z, X ), alpha1( X, Y, Z ) }.
% 0.86/1.20 { ! circle( Y, X, Z, T ), perp( skol12( X, Y ), X, X, Y ) }.
% 3.37/3.80 { ! circle( W, X, Y, Z ), ! cong( W, X, W, T ), ! cong( U, X, U, Y ), W = U
% 3.37/3.80 , alpha2( X, Z, U, skol13( X, V0, Z, V1, U ) ) }.
% 3.37/3.80 { ! circle( W, X, Y, Z ), ! cong( W, X, W, T ), ! cong( U, X, U, Y ), W = U
% 3.37/3.80 , coll( skol21( V0, Y, T, V1 ), Y, T ) }.
% 3.37/3.80 { ! circle( W, X, Y, Z ), ! cong( W, X, W, T ), ! cong( U, X, U, Y ), W = U
% 3.37/3.80 , cong( skol21( X, Y, T, U ), U, U, X ) }.
% 3.37/3.80 { ! alpha2( X, Y, Z, T ), coll( T, X, Y ) }.
% 3.37/3.80 { ! alpha2( X, Y, Z, T ), cong( T, Z, Z, X ) }.
% 3.37/3.80 { ! coll( T, X, Y ), ! cong( T, Z, Z, X ), alpha2( X, Y, Z, T ) }.
% 3.37/3.80 { ! cyclic( X, Y, Z, T ), ! para( X, Y, Z, T ), ! midp( U, X, Y ), circle(
% 3.37/3.80 skol14( X, Y, Z ), X, Y, Z ) }.
% 3.37/3.80 { ! perp( X, Z, Z, Y ), ! cyclic( X, Y, Z, T ), circle( skol15( X, Y, Z ),
% 3.37/3.80 X, Y, Z ) }.
% 3.37/3.80 { ! perp( X, U, U, T ), ! coll( T, Y, Z ), coll( skol16( W, Y, Z ), Y, Z )
% 3.37/3.80 }.
% 3.37/3.80 { ! perp( X, U, U, T ), ! coll( T, Y, Z ), perp( skol16( X, Y, Z ), X, Y, Z
% 3.37/3.80 ) }.
% 3.37/3.80 { ! perp( X, Z, X, Y ), ! perp( Y, X, Y, T ), ! midp( U, Z, T ), midp(
% 3.37/3.80 skol17( X, Y ), X, Y ) }.
% 3.37/3.80 { ! cong( Y, X, Y, Z ), ! perp( X, Y, Y, Z ), coll( X, Y, skol18( X, Y ) )
% 3.37/3.80 }.
% 3.37/3.80 { ! cong( Y, X, Y, Z ), ! perp( X, Y, Y, Z ), cong( Y, X, Y, skol18( X, Y )
% 3.37/3.80 ) }.
% 3.37/3.80 { ! para( U, W, X, Y ), ! coll( Z, U, X ), ! coll( Z, W, Y ), ! coll( T, U
% 3.37/3.80 , W ), coll( Z, T, skol19( V0, V1, Z, T ) ) }.
% 3.37/3.80 { ! para( U, W, X, Y ), ! coll( Z, U, X ), ! coll( Z, W, Y ), ! coll( T, U
% 3.37/3.80 , W ), coll( skol19( X, Y, Z, T ), X, Y ) }.
% 3.37/3.80 { eqangle( skol28, skol25, skol25, skol26, skol28, skol25, skol25, skol27 )
% 3.37/3.80 }.
% 3.37/3.80 { eqangle( skol28, skol26, skol26, skol27, skol28, skol26, skol26, skol25 )
% 3.37/3.80 }.
% 3.37/3.80 { eqangle( skol28, skol27, skol27, skol25, skol28, skol27, skol27, skol26 )
% 3.37/3.80 }.
% 3.37/3.80 { midp( skol20, skol26, skol25 ) }.
% 3.37/3.80 { midp( skol22, skol27, skol26 ) }.
% 3.37/3.80 { midp( skol23, skol25, skol27 ) }.
% 3.37/3.80 { midp( skol29, skol28, skol26 ) }.
% 3.37/3.80 { midp( skol30, skol27, skol28 ) }.
% 3.37/3.80 { circle( skol24, skol29, skol22, skol30 ) }.
% 3.37/3.80 { ! eqangle( skol23, skol22, skol22, skol24, skol24, skol22, skol22, skol20
% 3.37/3.80 ) }.
% 3.37/3.80
% 3.37/3.80 percentage equality = 0.008721, percentage horn = 0.928571
% 3.37/3.80 This is a problem with some equality
% 3.37/3.80
% 3.37/3.80
% 3.37/3.80
% 3.37/3.80 Options Used:
% 3.37/3.80
% 3.37/3.80 useres = 1
% 3.37/3.80 useparamod = 1
% 3.37/3.80 useeqrefl = 1
% 3.37/3.80 useeqfact = 1
% 3.37/3.80 usefactor = 1
% 3.37/3.80 usesimpsplitting = 0
% 3.37/3.80 usesimpdemod = 5
% 3.37/3.80 usesimpres = 3
% 3.37/3.80
% 3.37/3.80 resimpinuse = 1000
% 3.37/3.80 resimpclauses = 20000
% 3.37/3.80 substype = eqrewr
% 3.37/3.80 backwardsubs = 1
% 3.37/3.80 selectoldest = 5
% 3.37/3.80
% 3.37/3.80 litorderings [0] = split
% 3.37/3.80 litorderings [1] = extend the termordering, first sorting on arguments
% 3.37/3.80
% 3.37/3.80 termordering = kbo
% 3.37/3.80
% 3.37/3.80 litapriori = 0
% 3.37/3.80 termapriori = 1
% 3.37/3.80 litaposteriori = 0
% 3.37/3.80 termaposteriori = 0
% 3.37/3.80 demodaposteriori = 0
% 3.37/3.80 ordereqreflfact = 0
% 3.37/3.80
% 3.37/3.80 litselect = negord
% 3.37/3.80
% 3.37/3.80 maxweight = 15
% 3.37/3.80 maxdepth = 30000
% 3.37/3.80 maxlength = 115
% 3.37/3.80 maxnrvars = 195
% 3.37/3.80 excuselevel = 1
% 3.37/3.80 increasemaxweight = 1
% 3.37/3.80
% 3.37/3.80 maxselected = 10000000
% 3.37/3.80 maxnrclauses = 10000000
% 3.37/3.80
% 3.37/3.80 showgenerated = 0
% 3.37/3.80 showkept = 0
% 3.37/3.80 showselected = 0
% 3.37/3.80 showdeleted = 0
% 3.37/3.80 showresimp = 1
% 3.37/3.80 showstatus = 2000
% 3.37/3.80
% 3.37/3.80 prologoutput = 0
% 3.37/3.80 nrgoals = 5000000
% 3.37/3.80 totalproof = 1
% 3.37/3.80
% 3.37/3.80 Symbols occurring in the translation:
% 3.37/3.80
% 3.37/3.80 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 3.37/3.80 . [1, 2] (w:1, o:43, a:1, s:1, b:0),
% 3.37/3.80 ! [4, 1] (w:0, o:38, a:1, s:1, b:0),
% 3.37/3.80 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 3.37/3.80 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 3.37/3.80 coll [38, 3] (w:1, o:71, a:1, s:1, b:0),
% 3.37/3.80 para [40, 4] (w:1, o:79, a:1, s:1, b:0),
% 3.37/3.80 perp [43, 4] (w:1, o:80, a:1, s:1, b:0),
% 3.37/3.80 midp [45, 3] (w:1, o:72, a:1, s:1, b:0),
% 3.37/3.80 cong [47, 4] (w:1, o:81, a:1, s:1, b:0),
% 3.37/3.80 circle [48, 4] (w:1, o:82, a:1, s:1, b:0),
% 3.37/3.80 cyclic [49, 4] (w:1, o:83, a:1, s:1, b:0),
% 3.37/3.80 eqangle [54, 8] (w:1, o:98, a:1, s:1, b:0),
% 3.37/3.80 eqratio [57, 8] (w:1, o:99, a:1, s:1, b:0),
% 3.37/3.80 simtri [59, 6] (w:1, o:95, a:1, s:1, b:0),
% 3.37/3.80 contri [60, 6] (w:1, o:96, a:1, s:1, b:0),
% 3.37/3.80 alpha1 [68, 3] (w:1, o:73, a:1, s:1, b:1),
% 3.37/3.80 alpha2 [69, 4] (w:1, o:84, a:1, s:1, b:1),
% 3.37/3.80 skol1 [70, 4] (w:1, o:85, a:1, s:1, b:1),
% 3.37/3.80 skol2 [71, 4] (w:1, o:87, a:1, s:1, b:1),
% 3.37/3.80 skol3 [72, 4] (w:1, o:89, a:1, s:1, b:1),
% 21.33/21.75 skol4 [73, 4] (w:1, o:90, a:1, s:1, b:1),
% 21.33/21.75 skol5 [74, 4] (w:1, o:91, a:1, s:1, b:1),
% 21.33/21.75 skol6 [75, 6] (w:1, o:97, a:1, s:1, b:1),
% 21.33/21.75 skol7 [76, 2] (w:1, o:67, a:1, s:1, b:1),
% 21.33/21.75 skol8 [77, 4] (w:1, o:92, a:1, s:1, b:1),
% 21.33/21.75 skol9 [78, 4] (w:1, o:93, a:1, s:1, b:1),
% 21.33/21.75 skol10 [79, 3] (w:1, o:74, a:1, s:1, b:1),
% 21.33/21.75 skol11 [80, 3] (w:1, o:75, a:1, s:1, b:1),
% 21.33/21.75 skol12 [81, 2] (w:1, o:68, a:1, s:1, b:1),
% 21.33/21.75 skol13 [82, 5] (w:1, o:94, a:1, s:1, b:1),
% 21.33/21.75 skol14 [83, 3] (w:1, o:76, a:1, s:1, b:1),
% 21.33/21.75 skol15 [84, 3] (w:1, o:77, a:1, s:1, b:1),
% 21.33/21.75 skol16 [85, 3] (w:1, o:78, a:1, s:1, b:1),
% 21.33/21.75 skol17 [86, 2] (w:1, o:69, a:1, s:1, b:1),
% 21.33/21.75 skol18 [87, 2] (w:1, o:70, a:1, s:1, b:1),
% 21.33/21.75 skol19 [88, 4] (w:1, o:86, a:1, s:1, b:1),
% 21.33/21.75 skol20 [89, 0] (w:1, o:28, a:1, s:1, b:1),
% 21.33/21.75 skol21 [90, 4] (w:1, o:88, a:1, s:1, b:1),
% 21.33/21.75 skol22 [91, 0] (w:1, o:29, a:1, s:1, b:1),
% 21.33/21.75 skol23 [92, 0] (w:1, o:30, a:1, s:1, b:1),
% 21.33/21.75 skol24 [93, 0] (w:1, o:31, a:1, s:1, b:1),
% 21.33/21.75 skol25 [94, 0] (w:1, o:32, a:1, s:1, b:1),
% 21.33/21.75 skol26 [95, 0] (w:1, o:33, a:1, s:1, b:1),
% 21.33/21.75 skol27 [96, 0] (w:1, o:34, a:1, s:1, b:1),
% 21.33/21.75 skol28 [97, 0] (w:1, o:35, a:1, s:1, b:1),
% 21.33/21.75 skol29 [98, 0] (w:1, o:36, a:1, s:1, b:1),
% 21.33/21.75 skol30 [99, 0] (w:1, o:37, a:1, s:1, b:1).
% 21.33/21.75
% 21.33/21.75
% 21.33/21.75 Starting Search:
% 21.33/21.75
% 21.33/21.75 *** allocated 15000 integers for clauses
% 21.33/21.75 *** allocated 22500 integers for clauses
% 21.33/21.75 *** allocated 33750 integers for clauses
% 21.33/21.75 *** allocated 50625 integers for clauses
% 21.33/21.75 *** allocated 22500 integers for termspace/termends
% 21.33/21.75 *** allocated 75937 integers for clauses
% 21.33/21.75 Resimplifying inuse:
% 21.33/21.75 Done
% 21.33/21.75
% 21.33/21.75 *** allocated 33750 integers for termspace/termends
% 21.33/21.75 *** allocated 113905 integers for clauses
% 21.33/21.75 *** allocated 50625 integers for termspace/termends
% 21.33/21.75
% 21.33/21.75 Intermediate Status:
% 21.33/21.75 Generated: 10934
% 21.33/21.75 Kept: 2014
% 21.33/21.75 Inuse: 316
% 21.33/21.75 Deleted: 0
% 21.33/21.75 Deletedinuse: 0
% 21.33/21.75
% 21.33/21.75 Resimplifying inuse:
% 21.33/21.75 Done
% 21.33/21.75
% 21.33/21.75 *** allocated 170857 integers for clauses
% 21.33/21.75 *** allocated 75937 integers for termspace/termends
% 21.33/21.75 Resimplifying inuse:
% 21.33/21.75 Done
% 21.33/21.75
% 21.33/21.75 *** allocated 256285 integers for clauses
% 21.33/21.75 *** allocated 113905 integers for termspace/termends
% 21.33/21.75
% 21.33/21.75 Intermediate Status:
% 21.33/21.75 Generated: 23936
% 21.33/21.75 Kept: 4020
% 21.33/21.75 Inuse: 451
% 21.33/21.75 Deleted: 1
% 21.33/21.75 Deletedinuse: 1
% 21.33/21.75
% 21.33/21.75 Resimplifying inuse:
% 21.33/21.75 Done
% 21.33/21.75
% 21.33/21.75 Resimplifying inuse:
% 21.33/21.75 Done
% 21.33/21.75
% 21.33/21.75 *** allocated 384427 integers for clauses
% 21.33/21.75 *** allocated 170857 integers for termspace/termends
% 21.33/21.75
% 21.33/21.75 Intermediate Status:
% 21.33/21.75 Generated: 38942
% 21.33/21.75 Kept: 6086
% 21.33/21.75 Inuse: 531
% 21.33/21.75 Deleted: 1
% 21.33/21.75 Deletedinuse: 1
% 21.33/21.75
% 21.33/21.75 Resimplifying inuse:
% 21.33/21.75 Done
% 21.33/21.75
% 21.33/21.75 Resimplifying inuse:
% 21.33/21.75 Done
% 21.33/21.75
% 21.33/21.75 *** allocated 576640 integers for clauses
% 21.33/21.75
% 21.33/21.75 Intermediate Status:
% 21.33/21.75 Generated: 50851
% 21.33/21.75 Kept: 8087
% 21.33/21.75 Inuse: 675
% 21.33/21.75 Deleted: 2
% 21.33/21.75 Deletedinuse: 1
% 21.33/21.75
% 21.33/21.75 Resimplifying inuse:
% 21.33/21.75 Done
% 21.33/21.75
% 21.33/21.75 *** allocated 256285 integers for termspace/termends
% 21.33/21.75 Resimplifying inuse:
% 21.33/21.75 Done
% 21.33/21.75
% 21.33/21.75
% 21.33/21.75 Intermediate Status:
% 21.33/21.75 Generated: 66189
% 21.33/21.75 Kept: 10108
% 21.33/21.75 Inuse: 784
% 21.33/21.75 Deleted: 4
% 21.33/21.75 Deletedinuse: 2
% 21.33/21.75
% 21.33/21.75 Resimplifying inuse:
% 21.33/21.75 Done
% 21.33/21.75
% 21.33/21.75 Resimplifying inuse:
% 21.33/21.75 Done
% 21.33/21.75
% 21.33/21.75 *** allocated 864960 integers for clauses
% 21.33/21.75
% 21.33/21.75 Intermediate Status:
% 21.33/21.75 Generated: 76964
% 21.33/21.75 Kept: 12108
% 21.33/21.75 Inuse: 867
% 21.33/21.75 Deleted: 14
% 21.33/21.75 Deletedinuse: 8
% 21.33/21.75
% 21.33/21.75 Resimplifying inuse:
% 21.33/21.75 Done
% 21.33/21.75
% 21.33/21.75 Resimplifying inuse:
% 21.33/21.75 Done
% 21.33/21.75
% 21.33/21.75
% 21.33/21.75 Intermediate Status:
% 21.33/21.75 Generated: 86431
% 21.33/21.75 Kept: 14140
% 21.33/21.75 Inuse: 949
% 21.33/21.75 Deleted: 16
% 21.33/21.75 Deletedinuse: 8
% 21.33/21.75
% 21.33/21.75 Resimplifying inuse:
% 21.33/21.75 Done
% 21.33/21.75
% 21.33/21.75 Resimplifying inuse:
% 21.33/21.75 Done
% 21.33/21.75
% 21.33/21.75 *** allocated 384427 integers for termspace/termends
% 21.33/21.75
% 21.33/21.75 Intermediate Status:
% 21.33/21.75 Generated: 99180
% 21.33/21.75 Kept: 16183
% 21.33/21.75 Inuse: 1068
% 21.33/21.75 Deleted: 16
% 21.33/21.75 Deletedinuse: 8
% 21.33/21.75
% 21.33/21.75 Resimplifying inuse:
% 21.33/21.75 Done
% 21.33/21.75
% 21.33/21.75 *** allocated 1297440 integers for clauses
% 21.33/21.75 Resimplifying inuse:
% 21.33/21.75 Done
% 21.33/21.75
% 21.33/21.75
% 21.33/21.75 Intermediate Status:
% 21.33/21.75 Generated: 113499
% 21.33/21.75 Kept: 18218
% 21.33/21.75 Inuse: 1188
% 21.33/21.75 Deleted: 16
% 21.33/21.75 Deletedinuse: 8
% 21.33/21.75
% 21.33/21.75 Resimplifying inuse:
% 21.33/21.75 Done
% 21.33/21.75
% 21.33/21.75 Resimplifying inuse:
% 21.33/21.75 Done
% 21.33/21.75
% 21.33/21.75 Resimplifying clauses:
% 21.33/21.75 Done
% 21.33/21.75
% 21.33/21.75
% 21.33/21.75 Intermediate Status:
% 21.33/21.75 Generated: 123421
% 21.33/21.75 Kept: 20224
% 21.33/21.75 Inuse: 1274
% 21.33/21.75 Deleted: 993
% 21.33/21.75 Deletedinuse: 8
% 21.33/21.75
% 21.33/21.75 Resimplifying inuse:
% 21.33/21.75 Done
% 21.33/21.75
% 21.33/21.75 Resimplifying inuse:
% 21.33/21.75 Done
% 21.33/21.75
% 21.33/21.75
% 21.33/21.75 Intermediate Status:
% 21.33/21.75 Generated: 135067
% 21.33/21.75 Kept: 22225
% 78.34/78.77 Inuse: 1405
% 78.34/78.77 Deleted: 1936
% 78.34/78.77 Deletedinuse: 856
% 78.34/78.77
% 78.34/78.77 Resimplifying inuse:
% 78.34/78.77 Done
% 78.34/78.77
% 78.34/78.77 Resimplifying inuse:
% 78.34/78.77 Done
% 78.34/78.77
% 78.34/78.77
% 78.34/78.77 Intermediate Status:
% 78.34/78.77 Generated: 147132
% 78.34/78.77 Kept: 24228
% 78.34/78.77 Inuse: 1564
% 78.34/78.77 Deleted: 2155
% 78.34/78.77 Deletedinuse: 856
% 78.34/78.77
% 78.34/78.77 Resimplifying inuse:
% 78.34/78.77 Done
% 78.34/78.77
% 78.34/78.77 *** allocated 576640 integers for termspace/termends
% 78.34/78.77 Resimplifying inuse:
% 78.34/78.77 Done
% 78.34/78.77
% 78.34/78.77
% 78.34/78.77 Intermediate Status:
% 78.34/78.77 Generated: 157946
% 78.34/78.77 Kept: 26228
% 78.34/78.77 Inuse: 1774
% 78.34/78.77 Deleted: 2171
% 78.34/78.77 Deletedinuse: 856
% 78.34/78.77
% 78.34/78.77 *** allocated 1946160 integers for clauses
% 78.34/78.77 Resimplifying inuse:
% 78.34/78.77 Done
% 78.34/78.77
% 78.34/78.77 Resimplifying inuse:
% 78.34/78.77 Done
% 78.34/78.77
% 78.34/78.77
% 78.34/78.77 Intermediate Status:
% 78.34/78.77 Generated: 166244
% 78.34/78.77 Kept: 28231
% 78.34/78.77 Inuse: 1936
% 78.34/78.77 Deleted: 2177
% 78.34/78.77 Deletedinuse: 856
% 78.34/78.77
% 78.34/78.77 Resimplifying inuse:
% 78.34/78.77 Done
% 78.34/78.77
% 78.34/78.77 Resimplifying inuse:
% 78.34/78.77 Done
% 78.34/78.77
% 78.34/78.77
% 78.34/78.77 Intermediate Status:
% 78.34/78.77 Generated: 174334
% 78.34/78.77 Kept: 30243
% 78.34/78.77 Inuse: 2029
% 78.34/78.77 Deleted: 2188
% 78.34/78.77 Deletedinuse: 863
% 78.34/78.77
% 78.34/78.77 Resimplifying inuse:
% 78.34/78.77 Done
% 78.34/78.77
% 78.34/78.77 Resimplifying inuse:
% 78.34/78.77 Done
% 78.34/78.77
% 78.34/78.77
% 78.34/78.77 Intermediate Status:
% 78.34/78.77 Generated: 184079
% 78.34/78.77 Kept: 32250
% 78.34/78.77 Inuse: 2187
% 78.34/78.77 Deleted: 2217
% 78.34/78.77 Deletedinuse: 864
% 78.34/78.77
% 78.34/78.77 Resimplifying inuse:
% 78.34/78.77 Done
% 78.34/78.77
% 78.34/78.77 Resimplifying inuse:
% 78.34/78.77 Done
% 78.34/78.77
% 78.34/78.77
% 78.34/78.77 Intermediate Status:
% 78.34/78.77 Generated: 192842
% 78.34/78.77 Kept: 34257
% 78.34/78.77 Inuse: 2369
% 78.34/78.77 Deleted: 2263
% 78.34/78.77 Deletedinuse: 864
% 78.34/78.77
% 78.34/78.77 Resimplifying inuse:
% 78.34/78.77 Done
% 78.34/78.77
% 78.34/78.77 Resimplifying inuse:
% 78.34/78.77 Done
% 78.34/78.77
% 78.34/78.77
% 78.34/78.77 Intermediate Status:
% 78.34/78.77 Generated: 200264
% 78.34/78.77 Kept: 36259
% 78.34/78.77 Inuse: 2488
% 78.34/78.77 Deleted: 2292
% 78.34/78.77 Deletedinuse: 864
% 78.34/78.77
% 78.34/78.77 Resimplifying inuse:
% 78.34/78.77 Done
% 78.34/78.77
% 78.34/78.77 Resimplifying inuse:
% 78.34/78.77 Done
% 78.34/78.77
% 78.34/78.77
% 78.34/78.77 Intermediate Status:
% 78.34/78.77 Generated: 209666
% 78.34/78.77 Kept: 38259
% 78.34/78.77 Inuse: 2689
% 78.34/78.77 Deleted: 2343
% 78.34/78.77 Deletedinuse: 864
% 78.34/78.77
% 78.34/78.77 Resimplifying inuse:
% 78.34/78.77 Done
% 78.34/78.77
% 78.34/78.77 *** allocated 2919240 integers for clauses
% 78.34/78.77 Resimplifying inuse:
% 78.34/78.77 Done
% 78.34/78.77
% 78.34/78.77 Resimplifying clauses:
% 78.34/78.77 Done
% 78.34/78.77
% 78.34/78.77
% 78.34/78.77 Intermediate Status:
% 78.34/78.77 Generated: 216861
% 78.34/78.77 Kept: 40298
% 78.34/78.77 Inuse: 2806
% 78.34/78.77 Deleted: 16689
% 78.34/78.77 Deletedinuse: 864
% 78.34/78.77
% 78.34/78.77 *** allocated 864960 integers for termspace/termends
% 78.34/78.77 Resimplifying inuse:
% 78.34/78.77 Done
% 78.34/78.77
% 78.34/78.77 Resimplifying inuse:
% 78.34/78.77 Done
% 78.34/78.77
% 78.34/78.77
% 78.34/78.77 Intermediate Status:
% 78.34/78.77 Generated: 241970
% 78.34/78.77 Kept: 42305
% 78.34/78.77 Inuse: 2942
% 78.34/78.77 Deleted: 16695
% 78.34/78.77 Deletedinuse: 870
% 78.34/78.77
% 78.34/78.77 Resimplifying inuse:
% 78.34/78.77 Done
% 78.34/78.77
% 78.34/78.77 Resimplifying inuse:
% 78.34/78.77 Done
% 78.34/78.77
% 78.34/78.77
% 78.34/78.77 Intermediate Status:
% 78.34/78.77 Generated: 249092
% 78.34/78.77 Kept: 44339
% 78.34/78.77 Inuse: 3000
% 78.34/78.77 Deleted: 16735
% 78.34/78.77 Deletedinuse: 910
% 78.34/78.77
% 78.34/78.77 Resimplifying inuse:
% 78.34/78.77 Done
% 78.34/78.77
% 78.34/78.77 Resimplifying inuse:
% 78.34/78.77 Done
% 78.34/78.77
% 78.34/78.77
% 78.34/78.77 Intermediate Status:
% 78.34/78.77 Generated: 253241
% 78.34/78.77 Kept: 46371
% 78.34/78.77 Inuse: 3032
% 78.34/78.77 Deleted: 16735
% 78.34/78.77 Deletedinuse: 910
% 78.34/78.77
% 78.34/78.77 Resimplifying inuse:
% 78.34/78.77 Done
% 78.34/78.77
% 78.34/78.77
% 78.34/78.77 Intermediate Status:
% 78.34/78.77 Generated: 258709
% 78.34/78.77 Kept: 48687
% 78.34/78.77 Inuse: 3049
% 78.34/78.77 Deleted: 16735
% 78.34/78.77 Deletedinuse: 910
% 78.34/78.77
% 78.34/78.77 Resimplifying inuse:
% 78.34/78.77 Done
% 78.34/78.77
% 78.34/78.77 Resimplifying inuse:
% 78.34/78.77 Done
% 78.34/78.77
% 78.34/78.77
% 78.34/78.77 Intermediate Status:
% 78.34/78.77 Generated: 262133
% 78.34/78.77 Kept: 50689
% 78.34/78.77 Inuse: 3080
% 78.34/78.77 Deleted: 16735
% 78.34/78.77 Deletedinuse: 910
% 78.34/78.77
% 78.34/78.77 Resimplifying inuse:
% 78.34/78.77 Done
% 78.34/78.77
% 78.34/78.77 Resimplifying inuse:
% 78.34/78.77 Done
% 78.34/78.77
% 78.34/78.77
% 78.34/78.77 Intermediate Status:
% 78.34/78.77 Generated: 267209
% 78.34/78.77 Kept: 52694
% 78.34/78.77 Inuse: 3137
% 78.34/78.77 Deleted: 16740
% 78.34/78.77 Deletedinuse: 910
% 78.34/78.77
% 78.34/78.77 Resimplifying inuse:
% 78.34/78.77 Done
% 78.34/78.77
% 78.34/78.77 Resimplifying inuse:
% 78.34/78.77 Done
% 78.34/78.77
% 78.34/78.77
% 78.34/78.77 Intermediate Status:
% 78.34/78.77 Generated: 273801
% 78.34/78.77 Kept: 54721
% 78.34/78.77 Inuse: 3189
% 78.34/78.77 Deleted: 16740
% 78.34/78.77 Deletedinuse: 910
% 78.34/78.77
% 78.34/78.77 Resimplifying inuse:
% 78.34/78.77 Done
% 78.34/78.77
% 78.34/78.77 Resimplifying inuse:
% 78.34/78.77 Done
% 78.34/78.77
% 78.34/78.77
% 78.34/78.77 Intermediate Status:
% 78.34/78.77 Generated: 281886
% 78.34/78.77 Kept: 56721
% 78.34/78.77 Inuse: 3243
% 78.34/78.77 Deleted: 16740
% 78.34/78.77 Deletedinuse: 910
% 78.34/78.77
% 78.34/78.77 Resimplifying inuse:
% 78.34/78.77 Done
% 78.34/78.77
% 78.34/78.77 Resimplifying inuse:
% 78.34/78.77 Done
% 78.34/78.77
% 78.34/78.77
% 78.34/78.77 Intermediate Status:
% 78.34/78.77 Generated: 287792
% 78.34/78.77 Kept: 58752
% 78.34/78.77 Inuse: 3293
% 78.34/78.77 Deleted: 16741
% 78.34/78.77 Deletedinuse: 910
% 78.34/78.77
% 78.34/78.77 Resimplifying inuse:
% 78.34/78.77 Done
% 78.34/78.77
% 78.34/78.77 Resimplifying inuse:
% 78.34/78.77 Done
% 78.34/78.77
% 78.34/78.77 *** allocated 4378860 integers for clauses
% 78.34/78.77 Resimplifying clauses:
% 78.34/78.77 Done
% 78.34/78.77
% 78.34/78.77
% 78.34/78.77 Intermediate Status:
% 78.34/78.77 Generated: 298680
% 78.34/78.77 Kept: 60787
% 78.34/78.77 Inuse: 3354
% 78.34/78.77 Deleted: 18398
% 78.34/78.77 Deletedinuse: 910
% 78.34/78.77
% 78.34/78.77 Resimplifying inuse:
% 78.34/78.77 Done
% 78.34/78.77
% 78.34/78.77 *** allocated 1297440 integers for termspace/termends
% 78.34/78.77 Resimplifying inuse:
% 78.34/78.77 Done
% 78.34/78.77
% 78.34/78.77
% 78.34/78.77 Intermediate Status:
% 78.34/78.77 Generated: 306362
% 78.34/78.77 Kept: 62792
% 78.34/78.77 Inuse: 3412
% 78.34/78.77 Deleted: 18398
% 78.34/78.77 Deletedinuse: 910
% 78.34/78.77
% 78.34/78.77 Resimplifying inuse:
% 78.34/78.77 Done
% 78.34/78.77
% 78.34/78.77 Resimplifying inuse:
% 78.34/78.77 Done
% 78.34/78.77
% 78.34/78.77
% 78.34/78.77 Intermediate Status:
% 78.34/78.77 Generated: 314893
% 78.34/78.77 Kept: 65290
% 78.34/78.77 Inuse: 3463
% 78.34/78.77 Deleted: 18398
% 78.34/78.77 Deletedinuse: 910
% 78.34/78.77
% 78.34/78.77 Resimplifying inuse:
% 78.34/78.77 Done
% 78.34/78.77
% 78.34/78.77 Resimplifying inuse:
% 121.04/121.46 Done
% 121.04/121.46
% 121.04/121.46
% 121.04/121.46 Intermediate Status:
% 121.04/121.46 Generated: 322836
% 121.04/121.46 Kept: 67329
% 121.04/121.46 Inuse: 3512
% 121.04/121.46 Deleted: 18398
% 121.04/121.46 Deletedinuse: 910
% 121.04/121.46
% 121.04/121.46 Resimplifying inuse:
% 121.04/121.46 Done
% 121.04/121.46
% 121.04/121.46
% 121.04/121.46 Intermediate Status:
% 121.04/121.46 Generated: 328102
% 121.04/121.46 Kept: 69415
% 121.04/121.46 Inuse: 3528
% 121.04/121.46 Deleted: 18398
% 121.04/121.46 Deletedinuse: 910
% 121.04/121.46
% 121.04/121.46 Resimplifying inuse:
% 121.04/121.46 Done
% 121.04/121.46
% 121.04/121.46 Resimplifying inuse:
% 121.04/121.46 Done
% 121.04/121.46
% 121.04/121.46
% 121.04/121.46 Intermediate Status:
% 121.04/121.46 Generated: 337066
% 121.04/121.46 Kept: 71422
% 121.04/121.46 Inuse: 3586
% 121.04/121.46 Deleted: 18398
% 121.04/121.46 Deletedinuse: 910
% 121.04/121.46
% 121.04/121.46 Resimplifying inuse:
% 121.04/121.46 Done
% 121.04/121.46
% 121.04/121.46 Resimplifying inuse:
% 121.04/121.46 Done
% 121.04/121.46
% 121.04/121.46
% 121.04/121.46 Intermediate Status:
% 121.04/121.46 Generated: 342997
% 121.04/121.46 Kept: 73465
% 121.04/121.46 Inuse: 3613
% 121.04/121.46 Deleted: 18398
% 121.04/121.46 Deletedinuse: 910
% 121.04/121.46
% 121.04/121.46 Resimplifying inuse:
% 121.04/121.46 Done
% 121.04/121.46
% 121.04/121.46 Resimplifying inuse:
% 121.04/121.46 Done
% 121.04/121.46
% 121.04/121.46
% 121.04/121.46 Intermediate Status:
% 121.04/121.46 Generated: 358854
% 121.04/121.46 Kept: 75629
% 121.04/121.46 Inuse: 3663
% 121.04/121.46 Deleted: 18398
% 121.04/121.46 Deletedinuse: 910
% 121.04/121.46
% 121.04/121.46 Resimplifying inuse:
% 121.04/121.46 Done
% 121.04/121.46
% 121.04/121.46 Resimplifying inuse:
% 121.04/121.46 Done
% 121.04/121.46
% 121.04/121.46
% 121.04/121.46 Intermediate Status:
% 121.04/121.46 Generated: 372626
% 121.04/121.46 Kept: 77642
% 121.04/121.46 Inuse: 3704
% 121.04/121.46 Deleted: 18398
% 121.04/121.46 Deletedinuse: 910
% 121.04/121.46
% 121.04/121.46 Resimplifying inuse:
% 121.04/121.46 Done
% 121.04/121.46
% 121.04/121.46 Resimplifying inuse:
% 121.04/121.46 Done
% 121.04/121.46
% 121.04/121.46
% 121.04/121.46 Intermediate Status:
% 121.04/121.46 Generated: 380394
% 121.04/121.46 Kept: 79653
% 121.04/121.46 Inuse: 3733
% 121.04/121.46 Deleted: 18398
% 121.04/121.46 Deletedinuse: 910
% 121.04/121.46
% 121.04/121.46 Resimplifying inuse:
% 121.04/121.46 Done
% 121.04/121.46
% 121.04/121.46 Resimplifying clauses:
% 121.04/121.46 Done
% 121.04/121.46
% 121.04/121.46 Resimplifying inuse:
% 121.04/121.46 Done
% 121.04/121.46
% 121.04/121.46
% 121.04/121.46 Intermediate Status:
% 121.04/121.46 Generated: 390818
% 121.04/121.46 Kept: 81676
% 121.04/121.46 Inuse: 3783
% 121.04/121.46 Deleted: 19127
% 121.04/121.46 Deletedinuse: 910
% 121.04/121.46
% 121.04/121.46 Resimplifying inuse:
% 121.04/121.46 Done
% 121.04/121.46
% 121.04/121.46 Resimplifying inuse:
% 121.04/121.46 Done
% 121.04/121.46
% 121.04/121.46
% 121.04/121.46 Intermediate Status:
% 121.04/121.46 Generated: 401468
% 121.04/121.46 Kept: 83696
% 121.04/121.46 Inuse: 3828
% 121.04/121.46 Deleted: 19127
% 121.04/121.46 Deletedinuse: 910
% 121.04/121.46
% 121.04/121.46 Resimplifying inuse:
% 121.04/121.46 Done
% 121.04/121.46
% 121.04/121.46
% 121.04/121.46 Intermediate Status:
% 121.04/121.46 Generated: 408432
% 121.04/121.46 Kept: 86448
% 121.04/121.46 Inuse: 3853
% 121.04/121.46 Deleted: 19127
% 121.04/121.46 Deletedinuse: 910
% 121.04/121.46
% 121.04/121.46 Resimplifying inuse:
% 121.04/121.46 Done
% 121.04/121.46
% 121.04/121.46 Resimplifying inuse:
% 121.04/121.46 Done
% 121.04/121.46
% 121.04/121.46
% 121.04/121.46 Intermediate Status:
% 121.04/121.46 Generated: 421917
% 121.04/121.46 Kept: 88460
% 121.04/121.46 Inuse: 3911
% 121.04/121.46 Deleted: 19127
% 121.04/121.46 Deletedinuse: 910
% 121.04/121.46
% 121.04/121.46 Resimplifying inuse:
% 121.04/121.46 Done
% 121.04/121.46
% 121.04/121.46 Resimplifying inuse:
% 121.04/121.46 Done
% 121.04/121.46
% 121.04/121.46
% 121.04/121.46 Intermediate Status:
% 121.04/121.46 Generated: 444567
% 121.04/121.46 Kept: 90467
% 121.04/121.46 Inuse: 3999
% 121.04/121.46 Deleted: 19127
% 121.04/121.46 Deletedinuse: 910
% 121.04/121.46
% 121.04/121.46 Resimplifying inuse:
% 121.04/121.46 Done
% 121.04/121.46
% 121.04/121.46 *** allocated 6568290 integers for clauses
% 121.04/121.46 Resimplifying inuse:
% 121.04/121.46 Done
% 121.04/121.46
% 121.04/121.46 *** allocated 1946160 integers for termspace/termends
% 121.04/121.46
% 121.04/121.46 Intermediate Status:
% 121.04/121.46 Generated: 456948
% 121.04/121.46 Kept: 92496
% 121.04/121.46 Inuse: 4100
% 121.04/121.46 Deleted: 19128
% 121.04/121.46 Deletedinuse: 911
% 121.04/121.46
% 121.04/121.46 Resimplifying inuse:
% 121.04/121.46 Done
% 121.04/121.46
% 121.04/121.46 Resimplifying inuse:
% 121.04/121.46 Done
% 121.04/121.46
% 121.04/121.46
% 121.04/121.46 Intermediate Status:
% 121.04/121.46 Generated: 470781
% 121.04/121.46 Kept: 94498
% 121.04/121.46 Inuse: 4189
% 121.04/121.46 Deleted: 19128
% 121.04/121.46 Deletedinuse: 911
% 121.04/121.46
% 121.04/121.46 Resimplifying inuse:
% 121.04/121.46 Done
% 121.04/121.46
% 121.04/121.46 Resimplifying inuse:
% 121.04/121.46 Done
% 121.04/121.46
% 121.04/121.46
% 121.04/121.46 Intermediate Status:
% 121.04/121.46 Generated: 487508
% 121.04/121.46 Kept: 96518
% 121.04/121.46 Inuse: 4297
% 121.04/121.46 Deleted: 19128
% 121.04/121.46 Deletedinuse: 911
% 121.04/121.46
% 121.04/121.46 Resimplifying inuse:
% 121.04/121.46 Done
% 121.04/121.46
% 121.04/121.46 Resimplifying inuse:
% 121.04/121.46 Done
% 121.04/121.46
% 121.04/121.46
% 121.04/121.46 Intermediate Status:
% 121.04/121.46 Generated: 493562
% 121.04/121.46 Kept: 98549
% 121.04/121.46 Inuse: 4329
% 121.04/121.46 Deleted: 19128
% 121.04/121.46 Deletedinuse: 911
% 121.04/121.46
% 121.04/121.46 Resimplifying inuse:
% 121.04/121.46 Done
% 121.04/121.46
% 121.04/121.46 Resimplifying clauses:
% 121.04/121.46 Done
% 121.04/121.46
% 121.04/121.46 Resimplifying inuse:
% 121.04/121.46 Done
% 121.04/121.46
% 121.04/121.46
% 121.04/121.46 Intermediate Status:
% 121.04/121.46 Generated: 499205
% 121.04/121.46 Kept: 100552
% 121.04/121.46 Inuse: 4361
% 121.04/121.46 Deleted: 20162
% 121.04/121.46 Deletedinuse: 911
% 121.04/121.46
% 121.04/121.46 Resimplifying inuse:
% 121.04/121.46 Done
% 121.04/121.46
% 121.04/121.46
% 121.04/121.46 Intermediate Status:
% 121.04/121.46 Generated: 503736
% 121.04/121.46 Kept: 102562
% 121.04/121.46 Inuse: 4372
% 121.04/121.46 Deleted: 20162
% 121.04/121.46 Deletedinuse: 911
% 121.04/121.46
% 121.04/121.46 Resimplifying inuse:
% 121.04/121.46 Done
% 121.04/121.46
% 121.04/121.46
% 121.04/121.46 Intermediate Status:
% 121.04/121.46 Generated: 508486
% 121.04/121.46 Kept: 104626
% 121.04/121.46 Inuse: 4378
% 121.04/121.46 Deleted: 20162
% 121.04/121.46 Deletedinuse: 911
% 121.04/121.46
% 121.04/121.46 Resimplifying inuse:
% 121.04/121.46 Done
% 121.04/121.46
% 121.04/121.46 Resimplifying inuse:
% 121.04/121.46 Done
% 121.04/121.46
% 121.04/121.46
% 121.04/121.46 Intermediate Status:
% 121.04/121.46 Generated: 513463
% 121.04/121.46 Kept: 106656
% 121.04/121.46 Inuse: 4399
% 121.04/121.46 Deleted: 20162
% 121.04/121.46 Deletedinuse: 911
% 121.04/121.46
% 121.04/121.46 Resimplifying inuse:
% 121.04/121.46 Done
% 121.04/121.46
% 121.04/121.46 Resimplifying inuse:
% 121.04/121.46 Done
% 121.04/121.46
% 121.04/121.46
% 121.04/121.46 Intermediate Status:
% 121.04/121.46 Generated: 518142
% 121.04/121.46 Kept: 108712
% 121.04/121.46 Inuse: 4433
% 121.04/121.46 Deleted: 20162
% 121.04/121.46 Deletedinuse: 911
% 121.04/121.46
% 121.04/121.46 Resimplifying inuse:
% 121.04/121.46 Done
% 121.04/121.46
% 121.04/121.46 Resimplifying inuse:
% 121.04/121.46 Done
% 121.04/121.46
% 121.04/121.46
% 121.04/121.46 Intermediate Status:
% 121.04/121.46 Generated: 526752
% 121.04/121.46 Kept: 110746
% 121.04/121.46 Inuse: 4459
% 121.04/121.46 Deleted: 20309
% 121.04/121.46 Deletedinuse: 1057
% 121.04/121.46
% 121.04/121.46 Resimplifying inuse:
% 121.04/121.46 Done
% 121.04/121.46
% 121.04/121.46 Resimplifying inuse:
% 121.04/121.46 Done
% 121.04/121.46
% 121.04/121.46
% 121.04/121.46 Intermediate Status:
% 121.04/121.46 Generated: 537345
% 121.04/121.46 Kept: 112792
% 121.04/121.46 Inuse: 4476
% 121.04/121.46 Deleted: 20310
% 121.04/121.46 Deletedinuse: 1058
% 121.04/121.46
% 121.04/121.46 Resimplifying inuse:
% 121.04/121.46 Done
% 121.04/121.46
% 121.04/121.46 Resimplifying inuse:
% 121.04/121.46 Done
% 121.04/121.46
% 121.04/121.46
% 121.04/121.46 Intermediate Status:
% 121.04/121.46 Generated: 554392
% 121.04/121.46 Kept: 114819
% 121.04/121.46 Inuse: 4500
% 121.04/121.46 Deleted: 20310
% 121.04/121.46 Deletedinuse: 1058
% 121.04/121.46
% 121.04/121.46 Resimplifying inuse:
% 121.04/121.46 Done
% 121.04/121.46
% 121.04/121.46 Resimplifying inuse:
% 121.04/121.46 Done
% 121.04/121.46
% 121.04/121.46
% 121.04/121.46 Intermediate Status:
% 121.04/121.46 Generated: 571130
% 121.04/121.46 Kept: 116954
% 121.04/121.46 Inuse: 4532
% 121.04/121.46 Deleted: 20310
% 121.04/121.46 Deletedinuse: 1058
% 121.04/121.46
% 121.04/121.46 Resimplifying inuse:
% 121.04/121.46 Done
% 121.04/121.46
% 121.04/121.46
% 121.04/121.46 Intermediate Status:
% 121.04/121.46 Generated: 602576
% 121.04/121.46 Kept: 118964
% 121.04/121.46 Inuse: 4583
% 121.04/121.46 Deleted: 20310
% 121.04/121.46 Deletedinuse: 1058
% 121.04/121.46
% 121.04/121.46 Resimplifying inuse:
% 121.04/121.46 Done
% 121.04/121.46
% 121.04/121.46 Resimplifying clauses:
% 121.04/121.46 Done
% 121.04/121.46
% 121.04/121.46 Resimplifying inuse:
% 121.04/121.46 Done
% 121.04/121.46
% 121.04/121.46
% 121.04/121.46 Intermediate Status:
% 121.04/121.46 Generated: 609950
% 121.04/121.46 Kept: 120978
% 121.04/121.46 Inuse: 4595
% 121.04/121.46 Deleted: 23555
% 121.04/121.46 Deletedinuse: 1142
% 121.04/121.46
% 121.04/121.46 Resimplifying inuse:
% 121.04/121.46 Done
% 121.04/121.46
% 121.04/121.46 Resimplifying inuse:
% 121.04/121.46 Done
% 121.04/121.46
% 121.04/121.46
% 121.04/121.46 Intermediate Status:
% 121.04/121.46 Generated: 615838
% 121.04/121.46 Kept: 123038
% 121.04/121.46 Inuse: 4621
% 121.04/121.46 Deleted: 23555
% 121.04/121.46 Deletedinuse: 1142
% 121.04/121.46
% 121.04/121.46 Resimplifying inuse:
% 121.04/121.46 Done
% 121.04/121.46
% 121.04/121.46
% 121.04/121.46 Intermediate Status:
% 121.04/121.46 Generated: 621541
% 121.04/121.46 Kept: 125068
% 121.04/121.46 Inuse: 4648
% 121.04/121.46 Deleted: 23555
% 121.04/121.46 Deletedinuse: 1142
% 121.04/121.46
% 121.04/121.46 Resimplifying inuse:
% 121.04/121.46 Done
% 121.04/121.46
% 121.04/121.46 Resimplifying inuse:
% 121.04/121.46 Done
% 121.04/121.46
% 121.04/121.46
% 121.04/121.46 Intermediate Status:
% 121.04/121.46 Generated: 629785
% 121.04/121.46 Kept: 127700
% 121.04/121.46 Inuse: 4674
% 121.04/121.46 Deleted: 23980
% 121.04/121.46 Deletedinuse: 1549
% 121.04/121.46
% 121.04/121.46 Resimplifying inuse:
% 121.04/121.46 Done
% 121.04/121.46
% 121.04/121.46 Resimplifying inuse:
% 121.04/121.46 Done
% 121.04/121.46
% 121.04/121.46
% 121.04/121.46 Bliksems!, er is een bewijs:
% 121.04/121.46 % SZS status Theorem
% 121.04/121.46 % SZS output start Refutation
% 121.04/121.46
% 121.04/121.46 (0) {G0,W8,D2,L2,V3,M2} I { ! coll( X, Y, Z ), coll( X, Z, Y ) }.
% 121.04/121.46 (1) {G0,W8,D2,L2,V3,M2} I { ! coll( X, Y, Z ), coll( Y, X, Z ) }.
% 121.04/121.46 (2) {G0,W12,D2,L3,V4,M3} I { ! coll( X, T, Y ), ! coll( X, T, Z ), coll( Y
% 121.04/121.46 , Z, X ) }.
% 121.04/121.46 (3) {G0,W10,D2,L2,V4,M2} I { ! para( X, Y, Z, T ), para( X, Y, T, Z ) }.
% 121.04/121.46 (4) {G0,W10,D2,L2,V4,M2} I { ! para( X, Y, Z, T ), para( Z, T, X, Y ) }.
% 121.04/121.46 (7) {G0,W10,D2,L2,V4,M2} I { ! perp( X, Y, Z, T ), perp( Z, T, X, Y ) }.
% 121.04/121.46 (8) {G0,W15,D2,L3,V6,M3} I { ! perp( X, Y, U, W ), ! perp( U, W, Z, T ),
% 121.04/121.46 para( X, Y, Z, T ) }.
% 121.04/121.46 (9) {G0,W15,D2,L3,V6,M3} I { ! para( X, Y, U, W ), ! perp( U, W, Z, T ),
% 121.04/121.46 perp( X, Y, Z, T ) }.
% 121.04/121.46 (10) {G0,W8,D2,L2,V3,M2} I { ! midp( Z, Y, X ), midp( Z, X, Y ) }.
% 121.04/121.46 (14) {G0,W10,D2,L2,V4,M2} I { ! cyclic( X, Y, Z, T ), cyclic( X, Z, Y, T )
% 121.04/121.46 }.
% 121.04/121.46 (15) {G0,W10,D2,L2,V4,M2} I { ! cyclic( X, Y, Z, T ), cyclic( Y, X, Z, T )
% 121.04/121.46 }.
% 121.04/121.46 (18) {G0,W18,D2,L2,V8,M2} I { ! eqangle( X, Y, Z, T, U, W, V0, V1 ),
% 121.04/121.46 eqangle( Z, T, X, Y, V0, V1, U, W ) }.
% 121.04/121.46 (21) {G0,W27,D2,L3,V12,M3} I { ! eqangle( X, Y, Z, T, V2, V3, V4, V5 ), !
% 121.04/121.46 eqangle( V2, V3, V4, V5, U, W, V0, V1 ), eqangle( X, Y, Z, T, U, W, V0,
% 121.04/121.46 V1 ) }.
% 121.04/121.46 (39) {G0,W14,D2,L2,V6,M2} I { ! para( X, Y, Z, T ), eqangle( X, Y, U, W, Z
% 121.04/121.46 , T, U, W ) }.
% 121.04/121.46 (40) {G0,W14,D2,L2,V4,M2} I { ! cyclic( X, Y, Z, T ), eqangle( Z, X, Z, Y,
% 121.04/121.46 T, X, T, Y ) }.
% 121.04/121.46 (42) {G0,W18,D2,L3,V4,M3} I { ! eqangle( Z, X, Z, Y, T, X, T, Y ), ! coll(
% 121.04/121.46 Z, T, Y ), cyclic( X, Y, Z, T ) }.
% 121.04/121.46 (43) {G0,W29,D2,L5,V6,M5} I { ! cyclic( X, Y, U, Z ), ! cyclic( X, Y, U, T
% 121.04/121.46 ), ! cyclic( X, Y, U, W ), ! eqangle( U, X, U, Y, W, Z, W, T ), cong( X
% 121.04/121.46 , Y, Z, T ) }.
% 121.04/121.46 (56) {G0,W15,D2,L3,V4,M3} I { ! cong( X, Z, Y, Z ), ! cong( X, T, Y, T ),
% 121.04/121.46 perp( X, Y, Z, T ) }.
% 121.04/121.46 (63) {G0,W13,D2,L3,V5,M3} I { ! midp( U, X, Y ), ! midp( U, Z, T ), para( X
% 121.04/121.46 , Z, Y, T ) }.
% 121.04/121.46 (69) {G0,W8,D2,L2,V3,M2} I { ! midp( X, Y, Z ), coll( X, Y, Z ) }.
% 121.04/121.46 (88) {G0,W22,D3,L5,V7,M5} I { ! midp( Z, X, Y ), ! midp( W, T, U ), ! coll
% 121.04/121.46 ( T, X, Y ), ! coll( U, X, Y ), midp( skol7( X, V0 ), X, V0 ) }.
% 121.04/121.46 (119) {G0,W4,D2,L1,V0,M1} I { midp( skol20, skol26, skol25 ) }.
% 121.04/121.46 (123) {G0,W4,D2,L1,V0,M1} I { midp( skol30, skol27, skol28 ) }.
% 121.04/121.46 (125) {G0,W9,D2,L1,V0,M1} I { ! eqangle( skol23, skol22, skol22, skol24,
% 121.04/121.46 skol24, skol22, skol22, skol20 ) }.
% 121.04/121.46 (148) {G1,W18,D3,L4,V4,M4} F(88) { ! midp( X, Y, Z ), ! coll( Y, Y, Z ), !
% 121.04/121.46 coll( Z, Y, Z ), midp( skol7( Y, T ), Y, T ) }.
% 121.04/121.46 (164) {G1,W4,D2,L1,V0,M1} R(69,119) { coll( skol20, skol26, skol25 ) }.
% 121.04/121.46 (168) {G1,W4,D2,L1,V0,M1} R(69,123) { coll( skol30, skol27, skol28 ) }.
% 121.04/121.46 (169) {G2,W4,D2,L1,V0,M1} R(164,0) { coll( skol20, skol25, skol26 ) }.
% 121.04/121.46 (170) {G3,W4,D2,L1,V0,M1} R(1,169) { coll( skol25, skol20, skol26 ) }.
% 121.04/121.46 (171) {G2,W4,D2,L1,V0,M1} R(1,164) { coll( skol26, skol20, skol25 ) }.
% 121.04/121.46 (197) {G1,W12,D2,L3,V4,M3} R(2,0) { ! coll( X, Y, Z ), ! coll( X, Y, T ),
% 121.04/121.46 coll( Z, X, T ) }.
% 121.04/121.46 (198) {G2,W8,D2,L2,V3,M2} F(197) { ! coll( X, Y, Z ), coll( Z, X, Z ) }.
% 121.04/121.46 (226) {G1,W10,D2,L2,V4,M2} R(4,3) { ! para( X, Y, Z, T ), para( Z, T, Y, X
% 121.04/121.46 ) }.
% 121.04/121.46 (264) {G2,W4,D2,L1,V0,M1} R(168,1) { coll( skol27, skol30, skol28 ) }.
% 121.04/121.46 (268) {G3,W4,D2,L1,V0,M1} R(264,0) { coll( skol27, skol28, skol30 ) }.
% 121.04/121.46 (273) {G4,W4,D2,L1,V0,M1} R(268,1) { coll( skol28, skol27, skol30 ) }.
% 121.04/121.46 (276) {G5,W4,D2,L1,V0,M1} R(273,0) { coll( skol28, skol30, skol27 ) }.
% 121.04/121.46 (287) {G1,W15,D2,L3,V6,M3} R(8,4) { ! perp( X, Y, Z, T ), ! perp( Z, T, U,
% 121.04/121.46 W ), para( U, W, X, Y ) }.
% 121.04/121.46 (294) {G6,W4,D2,L1,V0,M1} R(198,276) { coll( skol27, skol28, skol27 ) }.
% 121.04/121.46 (297) {G3,W4,D2,L1,V0,M1} R(198,264) { coll( skol28, skol27, skol28 ) }.
% 121.04/121.46 (317) {G3,W12,D2,L3,V4,M3} R(198,2) { coll( X, Y, X ), ! coll( X, Z, Y ), !
% 121.04/121.46 coll( X, Z, T ) }.
% 121.04/121.46 (319) {G3,W4,D2,L1,V0,M1} R(198,171) { coll( skol25, skol26, skol25 ) }.
% 121.04/121.46 (322) {G4,W4,D2,L1,V0,M1} R(198,170) { coll( skol26, skol25, skol26 ) }.
% 121.04/121.46 (329) {G4,W8,D2,L2,V3,M2} F(317) { coll( X, Y, X ), ! coll( X, Z, Y ) }.
% 121.04/121.46 (338) {G1,W15,D2,L3,V6,M3} R(9,7) { ! para( X, Y, Z, T ), perp( X, Y, U, W
% 121.04/121.46 ), ! perp( U, W, Z, T ) }.
% 121.04/121.46 (351) {G1,W4,D2,L1,V0,M1} R(10,119) { midp( skol20, skol25, skol26 ) }.
% 121.04/121.46 (355) {G1,W4,D2,L1,V0,M1} R(10,123) { midp( skol30, skol28, skol27 ) }.
% 121.04/121.46 (372) {G4,W4,D2,L1,V0,M1} R(297,0) { coll( skol28, skol28, skol27 ) }.
% 121.04/121.46 (387) {G1,W10,D2,L2,V4,M2} R(15,14) { cyclic( X, Y, Z, T ), ! cyclic( Y, Z
% 121.04/121.46 , X, T ) }.
% 121.04/121.46 (388) {G1,W10,D2,L2,V4,M2} R(15,14) { ! cyclic( X, Y, Z, T ), cyclic( Y, Z
% 121.04/121.46 , X, T ) }.
% 121.04/121.46 (596) {G4,W4,D2,L1,V0,M1} R(319,0) { coll( skol25, skol25, skol26 ) }.
% 121.04/121.46 (660) {G5,W8,D2,L2,V3,M2} R(329,1) { ! coll( X, Y, Z ), coll( Z, X, X ) }.
% 121.04/121.46 (668) {G6,W8,D2,L2,V3,M2} R(660,1) { coll( X, Y, Y ), ! coll( Z, Y, X ) }.
% 121.04/121.46 (671) {G7,W8,D2,L2,V3,M2} R(668,660) { ! coll( X, Y, Z ), coll( Y, Z, Z )
% 121.04/121.46 }.
% 121.04/121.46 (675) {G8,W8,D2,L2,V3,M2} R(671,69) { coll( X, Y, Y ), ! midp( Z, X, Y )
% 121.04/121.46 }.
% 121.04/121.46 (676) {G9,W8,D2,L2,V3,M2} R(675,329) { ! midp( X, Y, Z ), coll( Y, Z, Y )
% 121.04/121.46 }.
% 121.04/121.46 (695) {G10,W8,D2,L2,V3,M2} R(676,0) { ! midp( X, Y, Z ), coll( Y, Y, Z )
% 121.04/121.46 }.
% 121.04/121.46 (721) {G1,W23,D2,L3,V10,M3} R(39,21) { ! para( X, Y, Z, T ), ! eqangle( U,
% 121.04/121.46 W, V0, V1, X, Y, V2, V3 ), eqangle( U, W, V0, V1, Z, T, V2, V3 ) }.
% 121.04/121.46 (724) {G1,W14,D2,L2,V6,M2} R(39,18) { ! para( X, Y, Z, T ), eqangle( U, W,
% 121.04/121.46 X, Y, U, W, Z, T ) }.
% 121.04/121.46 (788) {G1,W14,D2,L3,V3,M3} R(42,39) { ! coll( X, X, Y ), cyclic( Z, Y, X, X
% 121.04/121.46 ), ! para( X, Z, X, Z ) }.
% 121.04/121.46 (949) {G1,W20,D2,L4,V4,M4} R(43,40);f { ! cyclic( X, Y, Z, X ), ! cyclic( X
% 121.04/121.46 , Y, Z, Y ), ! cyclic( X, Y, Z, T ), cong( X, Y, X, Y ) }.
% 121.04/121.46 (981) {G2,W15,D2,L3,V3,M3} F(949) { ! cyclic( X, Y, Z, X ), ! cyclic( X, Y
% 121.04/121.46 , Z, Y ), cong( X, Y, X, Y ) }.
% 121.04/121.46 (1805) {G1,W20,D2,L4,V6,M4} R(56,8) { ! cong( X, Y, Z, Y ), ! cong( X, T, Z
% 121.04/121.46 , T ), ! perp( U, W, X, Z ), para( U, W, Y, T ) }.
% 121.04/121.46 (1806) {G1,W15,D2,L3,V4,M3} R(56,7) { ! cong( X, Y, Z, Y ), ! cong( X, T, Z
% 121.04/121.46 , T ), perp( Y, T, X, Z ) }.
% 121.04/121.46 (1808) {G2,W15,D2,L3,V5,M3} F(1805) { ! cong( X, Y, Z, Y ), ! perp( T, U, X
% 121.04/121.46 , Z ), para( T, U, Y, Y ) }.
% 121.04/121.46 (2039) {G1,W13,D2,L3,V5,M3} R(63,10) { ! midp( X, Y, Z ), para( Y, T, Z, U
% 121.04/121.46 ), ! midp( X, U, T ) }.
% 121.04/121.46 (2059) {G2,W9,D2,L2,V3,M2} F(2039) { ! midp( X, Y, Z ), para( Y, Z, Z, Y )
% 121.04/121.46 }.
% 121.04/121.46 (8579) {G5,W10,D3,L2,V1,M2} R(148,355);r(372) { ! coll( skol27, skol28,
% 121.04/121.46 skol27 ), midp( skol7( skol28, X ), skol28, X ) }.
% 121.04/121.46 (8583) {G5,W10,D3,L2,V1,M2} R(148,351);r(596) { ! coll( skol26, skol25,
% 121.04/121.46 skol26 ), midp( skol7( skol25, X ), skol25, X ) }.
% 121.04/121.46 (20086) {G7,W6,D3,L1,V1,M1} S(8579);r(294) { midp( skol7( skol28, X ),
% 121.04/121.46 skol28, X ) }.
% 121.04/121.46 (20089) {G6,W6,D3,L1,V1,M1} S(8583);r(322) { midp( skol7( skol25, X ),
% 121.04/121.46 skol25, X ) }.
% 121.04/121.46 (20218) {G11,W4,D2,L1,V1,M1} R(20086,695) { coll( skol28, skol28, X ) }.
% 121.04/121.46 (20376) {G12,W4,D2,L1,V2,M1} R(20218,197);r(20218) { coll( Y, skol28, X )
% 121.04/121.46 }.
% 121.04/121.46 (20395) {G13,W4,D2,L1,V3,M1} R(20376,197);r(20376) { coll( Z, X, Y ) }.
% 121.04/121.46 (20770) {G7,W6,D3,L1,V1,M1} R(20089,10) { midp( skol7( skol25, X ), X,
% 121.04/121.46 skol25 ) }.
% 121.04/121.46 (20814) {G14,W10,D3,L2,V2,M2} R(20770,148);r(20395) { ! coll( skol25, X,
% 121.04/121.46 skol25 ), midp( skol7( X, Y ), X, Y ) }.
% 121.04/121.46 (32221) {G14,W10,D2,L2,V3,M2} S(788);r(20395) { cyclic( Z, Y, X, X ), !
% 121.04/121.46 para( X, Z, X, Z ) }.
% 121.04/121.46 (40161) {G15,W6,D3,L1,V2,M1} S(20814);r(20395) { midp( skol7( X, Y ), X, Y
% 121.04/121.46 ) }.
% 121.04/121.46 (42257) {G16,W6,D3,L1,V2,M1} R(40161,10) { midp( skol7( X, Y ), Y, X ) }.
% 121.04/121.46 (109271) {G17,W5,D2,L1,V2,M1} R(2059,42257) { para( X, Y, Y, X ) }.
% 121.04/121.46 (109284) {G18,W5,D2,L1,V2,M1} R(109271,226) { para( X, Y, X, Y ) }.
% 121.04/121.46 (120779) {G19,W5,D2,L1,V3,M1} S(32221);r(109284) { cyclic( Z, Y, X, X ) }.
% 121.04/121.46 (128212) {G20,W5,D2,L1,V3,M1} R(120779,388) { cyclic( X, Y, Z, Y ) }.
% 121.04/121.46 (128213) {G20,W5,D2,L1,V3,M1} R(120779,387) { cyclic( X, Y, Z, X ) }.
% 121.04/121.46 (128228) {G21,W5,D2,L1,V2,M1} R(128212,981);r(128213) { cong( X, Y, X, Y )
% 121.04/121.46 }.
% 121.04/121.46 (129373) {G22,W5,D2,L1,V3,M1} R(128228,1806);r(128228) { perp( Z, Y, X, X )
% 121.04/121.46 }.
% 121.04/121.46 (129393) {G23,W5,D2,L1,V3,M1} R(129373,1808);r(128228) { para( Z, T, Y, Y )
% 121.04/121.46 }.
% 121.04/121.46 (129396) {G24,W5,D2,L1,V4,M1} R(129373,338);r(129393) { perp( X, Y, T, U )
% 121.04/121.46 }.
% 121.04/121.46 (129398) {G25,W5,D2,L1,V4,M1} R(129373,287);r(129396) { para( Y, Z, T, U )
% 121.04/121.46 }.
% 121.04/121.46 (129432) {G26,W9,D2,L1,V6,M1} R(129398,724) { eqangle( X, Y, Z, T, X, Y, U
% 121.04/121.46 , W ) }.
% 121.04/121.46 (129597) {G27,W9,D2,L1,V8,M1} R(129432,721);r(129398) { eqangle( X, Y, U, W
% 121.04/121.46 , Z, T, V0, V1 ) }.
% 121.04/121.46 (129598) {G28,W0,D0,L0,V0,M0} R(129597,125) { }.
% 121.04/121.46
% 121.04/121.46
% 121.04/121.46 % SZS output end Refutation
% 121.04/121.46 found a proof!
% 121.04/121.46
% 121.04/121.46
% 121.04/121.46 Unprocessed initial clauses:
% 121.04/121.46
% 121.04/121.46 (129600) {G0,W8,D2,L2,V3,M2} { ! coll( X, Y, Z ), coll( X, Z, Y ) }.
% 121.04/121.46 (129601) {G0,W8,D2,L2,V3,M2} { ! coll( X, Y, Z ), coll( Y, X, Z ) }.
% 121.04/121.46 (129602) {G0,W12,D2,L3,V4,M3} { ! coll( X, T, Y ), ! coll( X, T, Z ), coll
% 121.04/121.46 ( Y, Z, X ) }.
% 121.04/121.46 (129603) {G0,W10,D2,L2,V4,M2} { ! para( X, Y, Z, T ), para( X, Y, T, Z )
% 121.04/121.46 }.
% 121.04/121.46 (129604) {G0,W10,D2,L2,V4,M2} { ! para( X, Y, Z, T ), para( Z, T, X, Y )
% 121.04/121.46 }.
% 121.04/121.46 (129605) {G0,W15,D2,L3,V6,M3} { ! para( X, Y, U, W ), ! para( U, W, Z, T )
% 121.04/121.46 , para( X, Y, Z, T ) }.
% 121.04/121.46 (129606) {G0,W10,D2,L2,V4,M2} { ! perp( X, Y, Z, T ), perp( X, Y, T, Z )
% 121.04/121.46 }.
% 121.04/121.46 (129607) {G0,W10,D2,L2,V4,M2} { ! perp( X, Y, Z, T ), perp( Z, T, X, Y )
% 121.04/121.46 }.
% 121.04/121.46 (129608) {G0,W15,D2,L3,V6,M3} { ! perp( X, Y, U, W ), ! perp( U, W, Z, T )
% 121.04/121.46 , para( X, Y, Z, T ) }.
% 121.04/121.46 (129609) {G0,W15,D2,L3,V6,M3} { ! para( X, Y, U, W ), ! perp( U, W, Z, T )
% 121.04/121.46 , perp( X, Y, Z, T ) }.
% 121.04/121.46 (129610) {G0,W8,D2,L2,V3,M2} { ! midp( Z, Y, X ), midp( Z, X, Y ) }.
% 121.04/121.46 (129611) {G0,W15,D2,L3,V4,M3} { ! cong( T, X, T, Y ), ! cong( T, X, T, Z )
% 121.04/121.46 , circle( T, X, Y, Z ) }.
% 121.04/121.46 (129612) {G0,W20,D2,L4,V5,M4} { ! cong( U, X, U, Y ), ! cong( U, X, U, Z )
% 121.04/121.46 , ! cong( U, X, U, T ), cyclic( X, Y, Z, T ) }.
% 121.04/121.46 (129613) {G0,W10,D2,L2,V4,M2} { ! cyclic( X, Y, Z, T ), cyclic( X, Y, T, Z
% 121.04/121.46 ) }.
% 121.04/121.46 (129614) {G0,W10,D2,L2,V4,M2} { ! cyclic( X, Y, Z, T ), cyclic( X, Z, Y, T
% 121.04/121.46 ) }.
% 121.04/121.46 (129615) {G0,W10,D2,L2,V4,M2} { ! cyclic( X, Y, Z, T ), cyclic( Y, X, Z, T
% 121.04/121.46 ) }.
% 121.04/121.46 (129616) {G0,W15,D2,L3,V5,M3} { ! cyclic( U, X, Y, Z ), ! cyclic( U, X, Y
% 121.04/121.46 , T ), cyclic( X, Y, Z, T ) }.
% 121.04/121.46 (129617) {G0,W18,D2,L2,V8,M2} { ! eqangle( X, Y, Z, T, U, W, V0, V1 ),
% 121.04/121.46 eqangle( Y, X, Z, T, U, W, V0, V1 ) }.
% 121.04/121.46 (129618) {G0,W18,D2,L2,V8,M2} { ! eqangle( X, Y, Z, T, U, W, V0, V1 ),
% 121.04/121.46 eqangle( Z, T, X, Y, V0, V1, U, W ) }.
% 121.04/121.46 (129619) {G0,W18,D2,L2,V8,M2} { ! eqangle( X, Y, Z, T, U, W, V0, V1 ),
% 121.04/121.46 eqangle( U, W, V0, V1, X, Y, Z, T ) }.
% 121.04/121.46 (129620) {G0,W18,D2,L2,V8,M2} { ! eqangle( X, Y, Z, T, U, W, V0, V1 ),
% 121.04/121.46 eqangle( X, Y, U, W, Z, T, V0, V1 ) }.
% 121.04/121.46 (129621) {G0,W27,D2,L3,V12,M3} { ! eqangle( X, Y, Z, T, V2, V3, V4, V5 ),
% 121.04/121.46 ! eqangle( V2, V3, V4, V5, U, W, V0, V1 ), eqangle( X, Y, Z, T, U, W, V0
% 121.04/121.46 , V1 ) }.
% 121.04/121.46 (129622) {G0,W10,D2,L2,V4,M2} { ! cong( X, Y, Z, T ), cong( X, Y, T, Z )
% 121.04/121.46 }.
% 121.04/121.46 (129623) {G0,W10,D2,L2,V4,M2} { ! cong( X, Y, Z, T ), cong( Z, T, X, Y )
% 121.04/121.46 }.
% 121.04/121.46 (129624) {G0,W15,D2,L3,V6,M3} { ! cong( X, Y, U, W ), ! cong( U, W, Z, T )
% 121.04/121.46 , cong( X, Y, Z, T ) }.
% 121.04/121.46 (129625) {G0,W18,D2,L2,V8,M2} { ! eqratio( X, Y, Z, T, U, W, V0, V1 ),
% 121.04/121.46 eqratio( Y, X, Z, T, U, W, V0, V1 ) }.
% 121.04/121.46 (129626) {G0,W18,D2,L2,V8,M2} { ! eqratio( X, Y, Z, T, U, W, V0, V1 ),
% 121.04/121.46 eqratio( Z, T, X, Y, V0, V1, U, W ) }.
% 121.04/121.46 (129627) {G0,W18,D2,L2,V8,M2} { ! eqratio( X, Y, Z, T, U, W, V0, V1 ),
% 121.04/121.46 eqratio( U, W, V0, V1, X, Y, Z, T ) }.
% 121.04/121.46 (129628) {G0,W18,D2,L2,V8,M2} { ! eqratio( X, Y, Z, T, U, W, V0, V1 ),
% 121.04/121.46 eqratio( X, Y, U, W, Z, T, V0, V1 ) }.
% 121.04/121.46 (129629) {G0,W27,D2,L3,V12,M3} { ! eqratio( X, Y, Z, T, V2, V3, V4, V5 ),
% 121.04/121.46 ! eqratio( V2, V3, V4, V5, U, W, V0, V1 ), eqratio( X, Y, Z, T, U, W, V0
% 121.04/121.46 , V1 ) }.
% 121.04/121.46 (129630) {G0,W14,D2,L2,V6,M2} { ! simtri( X, Z, Y, T, W, U ), simtri( X, Y
% 121.04/121.46 , Z, T, U, W ) }.
% 121.04/121.46 (129631) {G0,W14,D2,L2,V6,M2} { ! simtri( Y, X, Z, U, T, W ), simtri( X, Y
% 121.04/121.46 , Z, T, U, W ) }.
% 121.04/121.46 (129632) {G0,W14,D2,L2,V6,M2} { ! simtri( T, U, W, X, Y, Z ), simtri( X, Y
% 121.04/121.46 , Z, T, U, W ) }.
% 121.04/121.46 (129633) {G0,W21,D2,L3,V9,M3} { ! simtri( X, Y, Z, V0, V1, V2 ), ! simtri
% 121.04/121.46 ( V0, V1, V2, T, U, W ), simtri( X, Y, Z, T, U, W ) }.
% 121.04/121.46 (129634) {G0,W14,D2,L2,V6,M2} { ! contri( X, Z, Y, T, W, U ), contri( X, Y
% 121.04/121.46 , Z, T, U, W ) }.
% 121.04/121.46 (129635) {G0,W14,D2,L2,V6,M2} { ! contri( Y, X, Z, U, T, W ), contri( X, Y
% 121.04/121.46 , Z, T, U, W ) }.
% 121.04/121.46 (129636) {G0,W14,D2,L2,V6,M2} { ! contri( T, U, W, X, Y, Z ), contri( X, Y
% 121.04/121.46 , Z, T, U, W ) }.
% 121.04/121.46 (129637) {G0,W21,D2,L3,V9,M3} { ! contri( X, Y, Z, V0, V1, V2 ), ! contri
% 121.04/121.46 ( V0, V1, V2, T, U, W ), contri( X, Y, Z, T, U, W ) }.
% 121.04/121.46 (129638) {G0,W14,D2,L2,V6,M2} { ! eqangle( X, Y, U, W, Z, T, U, W ), para
% 121.04/121.46 ( X, Y, Z, T ) }.
% 121.04/121.46 (129639) {G0,W14,D2,L2,V6,M2} { ! para( X, Y, Z, T ), eqangle( X, Y, U, W
% 121.04/121.46 , Z, T, U, W ) }.
% 121.04/121.46 (129640) {G0,W14,D2,L2,V4,M2} { ! cyclic( X, Y, Z, T ), eqangle( Z, X, Z,
% 121.04/121.46 Y, T, X, T, Y ) }.
% 121.04/121.46 (129641) {G0,W18,D2,L3,V4,M3} { ! eqangle( Z, X, Z, Y, T, X, T, Y ), coll
% 121.04/121.46 ( Z, T, X ), cyclic( X, Y, Z, T ) }.
% 121.04/121.46 (129642) {G0,W18,D2,L3,V4,M3} { ! eqangle( Z, X, Z, Y, T, X, T, Y ), !
% 121.04/121.46 coll( Z, T, Y ), cyclic( X, Y, Z, T ) }.
% 121.04/121.46 (129643) {G0,W29,D2,L5,V6,M5} { ! cyclic( X, Y, U, Z ), ! cyclic( X, Y, U
% 121.04/121.46 , T ), ! cyclic( X, Y, U, W ), ! eqangle( U, X, U, Y, W, Z, W, T ), cong
% 121.04/121.46 ( X, Y, Z, T ) }.
% 121.04/121.46 (129644) {G0,W13,D2,L3,V5,M3} { ! midp( Z, U, X ), ! midp( T, U, Y ), para
% 121.04/121.46 ( Z, T, X, Y ) }.
% 121.04/121.46 (129645) {G0,W17,D2,L4,V5,M4} { ! midp( U, X, T ), ! para( U, Z, T, Y ), !
% 121.04/121.46 coll( Z, X, Y ), midp( Z, X, Y ) }.
% 121.04/121.46 (129646) {G0,W14,D2,L2,V3,M2} { ! cong( Z, X, Z, Y ), eqangle( Z, X, X, Y
% 121.04/121.46 , X, Y, Z, Y ) }.
% 121.04/121.46 (129647) {G0,W18,D2,L3,V3,M3} { ! eqangle( Z, X, X, Y, X, Y, Z, Y ), coll
% 121.04/121.46 ( Z, X, Y ), cong( Z, X, Z, Y ) }.
% 121.04/121.46 (129648) {G0,W19,D2,L3,V5,M3} { ! circle( U, X, Y, Z ), ! perp( U, X, X, T
% 121.04/121.46 ), eqangle( X, T, X, Y, Z, X, Z, Y ) }.
% 121.04/121.46 (129649) {G0,W19,D2,L3,V5,M3} { ! circle( Y, X, T, U ), ! eqangle( X, Z, X
% 121.04/121.46 , T, U, X, U, T ), perp( Y, X, X, Z ) }.
% 121.04/121.46 (129650) {G0,W18,D2,L3,V5,M3} { ! circle( T, X, Y, Z ), ! midp( U, Y, Z )
% 121.04/121.46 , eqangle( X, Y, X, Z, T, Y, T, U ) }.
% 121.04/121.46 (129651) {G0,W22,D2,L4,V5,M4} { ! circle( U, T, X, Y ), ! coll( Z, X, Y )
% 121.04/121.46 , ! eqangle( T, X, T, Y, U, X, U, Z ), midp( Z, X, Y ) }.
% 121.04/121.46 (129652) {G0,W14,D2,L3,V4,M3} { ! perp( X, Y, Y, T ), ! midp( Z, X, T ),
% 121.04/121.46 cong( X, Z, Y, Z ) }.
% 121.04/121.46 (129653) {G0,W14,D2,L3,V4,M3} { ! circle( T, X, Y, Z ), ! coll( T, X, Z )
% 121.04/121.46 , perp( X, Y, Y, Z ) }.
% 121.04/121.46 (129654) {G0,W19,D2,L3,V4,M3} { ! cyclic( X, Y, Z, T ), ! para( X, Y, Z, T
% 121.04/121.46 ), eqangle( X, T, Z, T, Z, T, Z, Y ) }.
% 121.04/121.46 (129655) {G0,W14,D2,L3,V4,M3} { ! midp( T, X, Y ), ! perp( Z, T, X, Y ),
% 121.04/121.46 cong( Z, X, Z, Y ) }.
% 121.04/121.46 (129656) {G0,W15,D2,L3,V4,M3} { ! cong( X, Z, Y, Z ), ! cong( X, T, Y, T )
% 121.04/121.46 , perp( X, Y, Z, T ) }.
% 121.04/121.46 (129657) {G0,W20,D2,L4,V4,M4} { ! cong( X, Y, T, Y ), ! cong( X, Z, T, Z )
% 121.04/121.46 , ! cyclic( X, T, Y, Z ), perp( Y, X, X, Z ) }.
% 121.04/121.46 (129658) {G0,W29,D2,L4,V6,M4} { ! eqangle( X, Y, Y, Z, T, U, U, W ), !
% 121.04/121.46 eqangle( X, Z, Y, Z, T, W, U, W ), coll( X, Y, Z ), simtri( X, Y, Z, T, U
% 121.04/121.46 , W ) }.
% 121.04/121.46 (129659) {G0,W16,D2,L2,V6,M2} { ! simtri( X, Y, Z, T, U, W ), eqratio( X,
% 121.04/121.46 Y, X, Z, T, U, T, W ) }.
% 121.04/121.46 (129660) {G0,W16,D2,L2,V6,M2} { ! simtri( X, Y, Z, T, U, W ), eqangle( X,
% 121.04/121.46 Y, Y, Z, T, U, U, W ) }.
% 121.04/121.46 (129661) {G0,W19,D2,L3,V6,M3} { ! simtri( X, Y, Z, T, U, W ), ! cong( X, Y
% 121.04/121.46 , T, U ), contri( X, Y, Z, T, U, W ) }.
% 121.04/121.46 (129662) {G0,W12,D2,L2,V6,M2} { ! contri( X, Y, U, Z, T, W ), cong( X, Y,
% 121.04/121.46 Z, T ) }.
% 121.04/121.46 (129663) {G0,W13,D2,L3,V5,M3} { ! midp( U, X, Y ), ! midp( U, Z, T ), para
% 121.04/121.46 ( X, Z, Y, T ) }.
% 121.04/121.46 (129664) {G0,W18,D2,L4,V5,M4} { ! midp( Z, T, U ), ! para( T, X, U, Y ), !
% 121.04/121.46 para( T, Y, U, X ), midp( Z, X, Y ) }.
% 121.04/121.46 (129665) {G0,W22,D2,L4,V5,M4} { ! para( X, Y, Z, T ), ! coll( U, X, Z ), !
% 121.04/121.46 coll( U, Y, T ), eqratio( U, X, X, Z, U, Y, Y, T ) }.
% 121.04/121.46 (129666) {G0,W9,D2,L2,V3,M2} { ! para( X, Y, X, Z ), coll( X, Y, Z ) }.
% 121.04/121.46 (129667) {G0,W13,D2,L3,V3,M3} { ! cong( X, Y, X, Z ), ! coll( X, Y, Z ),
% 121.04/121.46 midp( X, Y, Z ) }.
% 121.04/121.46 (129668) {G0,W9,D2,L2,V3,M2} { ! midp( X, Y, Z ), cong( X, Y, X, Z ) }.
% 121.04/121.46 (129669) {G0,W8,D2,L2,V3,M2} { ! midp( X, Y, Z ), coll( X, Y, Z ) }.
% 121.04/121.46 (129670) {G0,W17,D2,L3,V6,M3} { ! midp( U, X, Y ), ! midp( W, Z, T ),
% 121.04/121.46 eqratio( U, X, X, Y, W, Z, Z, T ) }.
% 121.04/121.46 (129671) {G0,W19,D2,L3,V4,M3} { ! eqangle( X, Y, Z, T, Z, T, X, Y ), para
% 121.04/121.46 ( X, Y, Z, T ), perp( X, Y, Z, T ) }.
% 121.04/121.46 (129672) {G0,W19,D2,L3,V4,M3} { ! eqangle( X, Y, Z, T, Z, T, X, Y ), perp
% 121.04/121.46 ( X, Y, Z, T ), para( X, Y, Z, T ) }.
% 121.04/121.46 (129673) {G0,W19,D2,L3,V8,M3} { ! eqangle( X, Y, Z, T, U, W, V0, V1 ), !
% 121.04/121.46 para( U, W, V0, V1 ), para( X, Y, Z, T ) }.
% 121.04/121.46 (129674) {G0,W19,D2,L3,V8,M3} { ! eqangle( X, Y, Z, T, U, W, V0, V1 ), !
% 121.04/121.46 perp( U, W, V0, V1 ), perp( X, Y, Z, T ) }.
% 121.04/121.46 (129675) {G0,W19,D2,L3,V8,M3} { ! eqratio( X, Y, Z, T, U, W, V0, V1 ), !
% 121.04/121.46 cong( U, W, V0, V1 ), cong( X, Y, Z, T ) }.
% 121.04/121.46 (129676) {G0,W22,D3,L3,V6,M3} { ! perp( Z, Y, Y, X ), ! eqangle( T, Z, Y,
% 121.04/121.46 Z, Y, Z, X, Z ), coll( skol1( U, W, Z, T ), Z, T ) }.
% 121.04/121.46 (129677) {G0,W22,D3,L3,V4,M3} { ! perp( Z, Y, Y, X ), ! eqangle( T, Z, Y,
% 121.04/121.46 Z, Y, Z, X, Z ), coll( skol1( X, Y, Z, T ), X, Y ) }.
% 121.04/121.46 (129678) {G0,W22,D3,L3,V6,M3} { ! cong( Z, X, Z, Y ), ! eqangle( X, Z, Z,
% 121.04/121.46 T, Z, T, Z, Y ), coll( skol2( U, W, Z, T ), Z, T ) }.
% 121.04/121.46 (129679) {G0,W22,D3,L3,V4,M3} { ! cong( Z, X, Z, Y ), ! eqangle( X, Z, Z,
% 121.04/121.46 T, Z, T, Z, Y ), coll( Y, X, skol2( X, Y, Z, T ) ) }.
% 121.04/121.46 (129680) {G0,W22,D3,L3,V6,M3} { ! perp( Z, T, X, Y ), ! eqangle( X, Z, Z,
% 121.04/121.46 T, Z, T, Z, Y ), coll( skol3( U, W, Z, T ), Z, T ) }.
% 121.04/121.46 (129681) {G0,W22,D3,L3,V4,M3} { ! perp( Z, T, X, Y ), ! eqangle( X, Z, Z,
% 121.04/121.46 T, Z, T, Z, Y ), coll( Y, X, skol3( X, Y, Z, T ) ) }.
% 121.04/121.46 (129682) {G0,W18,D3,L3,V6,M3} { ! perp( Z, T, X, Y ), ! cong( Z, X, Z, Y )
% 121.04/121.46 , coll( skol4( U, W, Z, T ), Z, T ) }.
% 121.04/121.46 (129683) {G0,W18,D3,L3,V4,M3} { ! perp( Z, T, X, Y ), ! cong( Z, X, Z, Y )
% 121.04/121.46 , coll( Y, X, skol4( X, Y, Z, T ) ) }.
% 121.04/121.46 (129684) {G0,W22,D3,L3,V6,M3} { ! eqangle( X, Z, Y, Z, X, T, Y, U ), coll
% 121.04/121.46 ( X, Y, Z ), cyclic( T, Y, Z, skol5( W, Y, Z, T ) ) }.
% 121.04/121.46 (129685) {G0,W30,D3,L3,V5,M3} { ! eqangle( X, Z, Y, Z, X, T, Y, U ), coll
% 121.04/121.46 ( X, Y, Z ), eqangle( X, Z, Y, Z, X, skol5( X, Y, Z, T ), Y, skol5( X, Y
% 121.04/121.46 , Z, T ) ) }.
% 121.04/121.46 (129686) {G0,W18,D3,L3,V10,M3} { ! midp( U, X, Y ), ! midp( W, Z, T ),
% 121.04/121.46 midp( skol6( X, V0, V1, T, V2, V3 ), X, T ) }.
% 121.04/121.46 (129687) {G0,W19,D3,L3,V8,M3} { ! midp( U, X, Y ), ! midp( W, Z, T ), para
% 121.04/121.46 ( skol6( X, V0, Z, T, V1, W ), W, X, Z ) }.
% 121.04/121.46 (129688) {G0,W19,D3,L3,V6,M3} { ! midp( U, X, Y ), ! midp( W, Z, T ), para
% 121.04/121.46 ( skol6( X, Y, Z, T, U, W ), U, Y, T ) }.
% 121.04/121.46 (129689) {G0,W22,D3,L5,V7,M5} { ! midp( Z, X, Y ), ! midp( W, T, U ), !
% 121.04/121.46 coll( T, X, Y ), ! coll( U, X, Y ), midp( skol7( X, V0 ), X, V0 ) }.
% 121.04/121.46 (129690) {G0,W26,D3,L5,V8,M5} { ! midp( T, X, U ), ! para( X, W, Z, T ), !
% 121.04/121.46 para( X, W, U, Y ), ! coll( W, Y, Z ), coll( skol8( V0, V1, Z, T ), T, Z
% 121.04/121.46 ) }.
% 121.04/121.46 (129691) {G0,W26,D3,L5,V6,M5} { ! midp( T, X, U ), ! para( X, W, Z, T ), !
% 121.04/121.46 para( X, W, U, Y ), ! coll( W, Y, Z ), coll( skol8( X, Y, Z, T ), X, Y )
% 121.04/121.46 }.
% 121.04/121.46 (129692) {G0,W19,D3,L3,V7,M3} { ! cong( T, Z, T, U ), ! perp( X, Y, Y, T )
% 121.04/121.46 , cong( T, Z, T, skol9( W, V0, Z, T ) ) }.
% 121.04/121.46 (129693) {G0,W19,D3,L3,V6,M3} { ! cong( T, Z, T, U ), ! perp( X, Y, Y, T )
% 121.04/121.46 , cong( Y, Z, Y, skol9( W, Y, Z, T ) ) }.
% 121.04/121.46 (129694) {G0,W19,D3,L3,V5,M3} { ! cong( T, Z, T, U ), ! perp( X, Y, Y, T )
% 121.04/121.46 , para( skol9( X, Y, Z, T ), Z, X, Y ) }.
% 121.04/121.46 (129695) {G0,W17,D3,L3,V5,M3} { ! perp( X, T, Y, Z ), ! perp( Y, T, X, Z )
% 121.04/121.46 , coll( skol10( U, Y, Z ), Z, Y ) }.
% 121.04/121.46 (129696) {G0,W18,D3,L3,V4,M3} { ! perp( X, T, Y, Z ), ! perp( Y, T, X, Z )
% 121.04/121.46 , perp( X, skol10( X, Y, Z ), Z, Y ) }.
% 121.04/121.46 (129697) {G0,W14,D2,L3,V4,M3} { ! perp( X, T, Y, Z ), ! perp( Y, T, X, Z )
% 121.04/121.46 , alpha1( X, Y, Z ) }.
% 121.04/121.46 (129698) {G0,W11,D3,L2,V4,M2} { ! alpha1( X, Y, Z ), coll( skol11( X, T, Z
% 121.04/121.46 ), Z, X ) }.
% 121.04/121.46 (129699) {G0,W12,D3,L2,V3,M2} { ! alpha1( X, Y, Z ), perp( Y, skol11( X, Y
% 121.04/121.46 , Z ), Z, X ) }.
% 121.04/121.46 (129700) {G0,W13,D2,L3,V4,M3} { ! coll( T, Z, X ), ! perp( Y, T, Z, X ),
% 121.04/121.46 alpha1( X, Y, Z ) }.
% 121.04/121.46 (129701) {G0,W12,D3,L2,V4,M2} { ! circle( Y, X, Z, T ), perp( skol12( X, Y
% 121.04/121.46 ), X, X, Y ) }.
% 121.04/121.46 (129702) {G0,W28,D3,L5,V8,M5} { ! circle( W, X, Y, Z ), ! cong( W, X, W, T
% 121.04/121.46 ), ! cong( U, X, U, Y ), W = U, alpha2( X, Z, U, skol13( X, V0, Z, V1, U
% 121.04/121.46 ) ) }.
% 121.04/121.46 (129703) {G0,W26,D3,L5,V8,M5} { ! circle( W, X, Y, Z ), ! cong( W, X, W, T
% 121.04/121.46 ), ! cong( U, X, U, Y ), W = U, coll( skol21( V0, Y, T, V1 ), Y, T ) }.
% 121.04/121.46 (129704) {G0,W27,D3,L5,V6,M5} { ! circle( W, X, Y, Z ), ! cong( W, X, W, T
% 121.04/121.46 ), ! cong( U, X, U, Y ), W = U, cong( skol21( X, Y, T, U ), U, U, X )
% 121.04/121.46 }.
% 121.04/121.46 (129705) {G0,W9,D2,L2,V4,M2} { ! alpha2( X, Y, Z, T ), coll( T, X, Y ) }.
% 121.04/121.46 (129706) {G0,W10,D2,L2,V4,M2} { ! alpha2( X, Y, Z, T ), cong( T, Z, Z, X )
% 121.04/121.46 }.
% 121.04/121.46 (129707) {G0,W14,D2,L3,V4,M3} { ! coll( T, X, Y ), ! cong( T, Z, Z, X ),
% 121.04/121.46 alpha2( X, Y, Z, T ) }.
% 121.04/121.46 (129708) {G0,W22,D3,L4,V5,M4} { ! cyclic( X, Y, Z, T ), ! para( X, Y, Z, T
% 121.04/121.46 ), ! midp( U, X, Y ), circle( skol14( X, Y, Z ), X, Y, Z ) }.
% 121.04/121.46 (129709) {G0,W18,D3,L3,V4,M3} { ! perp( X, Z, Z, Y ), ! cyclic( X, Y, Z, T
% 121.04/121.46 ), circle( skol15( X, Y, Z ), X, Y, Z ) }.
% 121.04/121.46 (129710) {G0,W16,D3,L3,V6,M3} { ! perp( X, U, U, T ), ! coll( T, Y, Z ),
% 121.04/121.46 coll( skol16( W, Y, Z ), Y, Z ) }.
% 121.04/121.46 (129711) {G0,W17,D3,L3,V5,M3} { ! perp( X, U, U, T ), ! coll( T, Y, Z ),
% 121.04/121.46 perp( skol16( X, Y, Z ), X, Y, Z ) }.
% 121.04/121.46 (129712) {G0,W20,D3,L4,V5,M4} { ! perp( X, Z, X, Y ), ! perp( Y, X, Y, T )
% 121.04/121.46 , ! midp( U, Z, T ), midp( skol17( X, Y ), X, Y ) }.
% 121.04/121.46 (129713) {G0,W16,D3,L3,V3,M3} { ! cong( Y, X, Y, Z ), ! perp( X, Y, Y, Z )
% 121.04/121.46 , coll( X, Y, skol18( X, Y ) ) }.
% 121.04/121.46 (129714) {G0,W17,D3,L3,V3,M3} { ! cong( Y, X, Y, Z ), ! perp( X, Y, Y, Z )
% 121.04/121.46 , cong( Y, X, Y, skol18( X, Y ) ) }.
% 121.04/121.46 (129715) {G0,W25,D3,L5,V8,M5} { ! para( U, W, X, Y ), ! coll( Z, U, X ), !
% 121.04/121.46 coll( Z, W, Y ), ! coll( T, U, W ), coll( Z, T, skol19( V0, V1, Z, T ) )
% 121.04/121.46 }.
% 121.04/121.46 (129716) {G0,W25,D3,L5,V6,M5} { ! para( U, W, X, Y ), ! coll( Z, U, X ), !
% 121.04/121.46 coll( Z, W, Y ), ! coll( T, U, W ), coll( skol19( X, Y, Z, T ), X, Y )
% 121.04/121.46 }.
% 121.04/121.46 (129717) {G0,W9,D2,L1,V0,M1} { eqangle( skol28, skol25, skol25, skol26,
% 121.04/121.46 skol28, skol25, skol25, skol27 ) }.
% 121.04/121.46 (129718) {G0,W9,D2,L1,V0,M1} { eqangle( skol28, skol26, skol26, skol27,
% 121.04/121.46 skol28, skol26, skol26, skol25 ) }.
% 121.04/121.46 (129719) {G0,W9,D2,L1,V0,M1} { eqangle( skol28, skol27, skol27, skol25,
% 121.04/121.46 skol28, skol27, skol27, skol26 ) }.
% 121.04/121.46 (129720) {G0,W4,D2,L1,V0,M1} { midp( skol20, skol26, skol25 ) }.
% 121.04/121.46 (129721) {G0,W4,D2,L1,V0,M1} { midp( skol22, skol27, skol26 ) }.
% 121.04/121.46 (129722) {G0,W4,D2,L1,V0,M1} { midp( skol23, skol25, skol27 ) }.
% 121.04/121.46 (129723) {G0,W4,D2,L1,V0,M1} { midp( skol29, skol28, skol26 ) }.
% 121.04/121.46 (129724) {G0,W4,D2,L1,V0,M1} { midp( skol30, skol27, skol28 ) }.
% 121.04/121.46 (129725) {G0,W5,D2,L1,V0,M1} { circle( skol24, skol29, skol22, skol30 )
% 121.04/121.46 }.
% 121.04/121.46 (129726) {G0,W9,D2,L1,V0,M1} { ! eqangle( skol23, skol22, skol22, skol24,
% 121.04/121.46 skol24, skol22, skol22, skol20 ) }.
% 121.04/121.46
% 121.04/121.46
% 121.04/121.46 Total Proof:
% 121.04/121.46
% 121.04/121.46 subsumption: (0) {G0,W8,D2,L2,V3,M2} I { ! coll( X, Y, Z ), coll( X, Z, Y )
% 121.04/121.46 }.
% 121.04/121.46 parent0: (129600) {G0,W8,D2,L2,V3,M2} { ! coll( X, Y, Z ), coll( X, Z, Y )
% 121.04/121.46 }.
% 121.04/121.46 substitution0:
% 121.04/121.46 X := X
% 121.04/121.46 Y := Y
% 121.04/121.46 Z := Z
% 121.04/121.46 end
% 121.04/121.46 permutation0:
% 121.04/121.46 0 ==> 0
% 121.04/121.46 1 ==> 1
% 121.04/121.46 end
% 121.04/121.46
% 121.04/121.46 subsumption: (1) {G0,W8,D2,L2,V3,M2} I { ! coll( X, Y, Z ), coll( Y, X, Z )
% 121.04/121.46 }.
% 121.04/121.46 parent0: (129601) {G0,W8,D2,L2,V3,M2} { ! coll( X, Y, Z ), coll( Y, X, Z )
% 121.04/121.46 }.
% 121.04/121.46 substitution0:
% 121.04/121.46 X := X
% 121.04/121.46 Y := Y
% 121.04/121.46 Z := Z
% 121.04/121.46 end
% 121.04/121.46 permutation0:
% 121.04/121.46 0 ==> 0
% 121.04/121.46 1 ==> 1
% 121.04/121.46 end
% 121.04/121.46
% 121.04/121.46 subsumption: (2) {G0,W12,D2,L3,V4,M3} I { ! coll( X, T, Y ), ! coll( X, T,
% 121.04/121.46 Z ), coll( Y, Z, X ) }.
% 121.04/121.46 parent0: (129602) {G0,W12,D2,L3,V4,M3} { ! coll( X, T, Y ), ! coll( X, T,
% 121.04/121.46 Z ), coll( Y, Z, X ) }.
% 121.04/121.46 substitution0:
% 121.04/121.46 X := X
% 121.04/121.46 Y := Y
% 121.04/121.46 Z := Z
% 121.04/121.46 T := T
% 121.04/121.46 end
% 121.04/121.46 permutation0:
% 121.04/121.46 0 ==> 0
% 121.04/121.46 1 ==> 1
% 121.04/121.46 2 ==> 2
% 121.04/121.46 end
% 121.04/121.46
% 121.04/121.46 subsumption: (3) {G0,W10,D2,L2,V4,M2} I { ! para( X, Y, Z, T ), para( X, Y
% 121.04/121.46 , T, Z ) }.
% 121.04/121.46 parent0: (129603) {G0,W10,D2,L2,V4,M2} { ! para( X, Y, Z, T ), para( X, Y
% 121.04/121.46 , T, Z ) }.
% 121.04/121.46 substitution0:
% 121.04/121.46 X := X
% 121.04/121.46 Y := Y
% 121.04/121.46 Z := Z
% 121.04/121.46 T := T
% 121.04/121.46 end
% 121.04/121.46 permutation0:
% 121.04/121.46 0 ==> 0
% 121.04/121.46 1 ==> 1
% 121.04/121.46 end
% 121.04/121.46
% 121.04/121.46 subsumption: (4) {G0,W10,D2,L2,V4,M2} I { ! para( X, Y, Z, T ), para( Z, T
% 121.04/121.46 , X, Y ) }.
% 121.04/121.46 parent0: (129604) {G0,W10,D2,L2,V4,M2} { ! para( X, Y, Z, T ), para( Z, T
% 121.04/121.46 , X, Y ) }.
% 121.04/121.46 substitution0:
% 121.04/121.46 X := X
% 121.04/121.46 Y := Y
% 121.04/121.46 Z := Z
% 121.04/121.46 T := T
% 121.04/121.46 end
% 121.04/121.46 permutation0:
% 121.04/121.46 0 ==> 0
% 121.04/121.46 1 ==> 1
% 121.04/121.46 end
% 121.04/121.46
% 121.04/121.46 subsumption: (7) {G0,W10,D2,L2,V4,M2} I { ! perp( X, Y, Z, T ), perp( Z, T
% 121.04/121.46 , X, Y ) }.
% 121.04/121.46 parent0: (129607) {G0,W10,D2,L2,V4,M2} { ! perp( X, Y, Z, T ), perp( Z, T
% 121.04/121.46 , X, Y ) }.
% 121.04/121.46 substitution0:
% 121.04/121.46 X := X
% 121.04/121.46 Y := Y
% 121.04/121.46 Z := Z
% 121.04/121.46 T := T
% 121.04/121.46 end
% 121.04/121.46 permutation0:
% 121.04/121.46 0 ==> 0
% 121.04/121.46 1 ==> 1
% 121.04/121.46 end
% 121.04/121.46
% 121.04/121.46 subsumption: (8) {G0,W15,D2,L3,V6,M3} I { ! perp( X, Y, U, W ), ! perp( U,
% 121.04/121.46 W, Z, T ), para( X, Y, Z, T ) }.
% 121.04/121.46 parent0: (129608) {G0,W15,D2,L3,V6,M3} { ! perp( X, Y, U, W ), ! perp( U,
% 121.04/121.46 W, Z, T ), para( X, Y, Z, T ) }.
% 121.04/121.46 substitution0:
% 121.04/121.46 X := X
% 121.04/121.46 Y := Y
% 121.04/121.46 Z := Z
% 121.04/121.46 T := T
% 121.04/121.46 U := U
% 121.04/121.46 W := W
% 121.04/121.46 end
% 121.04/121.46 permutation0:
% 121.04/121.46 0 ==> 0
% 121.04/121.46 1 ==> 1
% 121.04/121.46 2 ==> 2
% 121.04/121.46 end
% 121.04/121.46
% 121.04/121.46 subsumption: (9) {G0,W15,D2,L3,V6,M3} I { ! para( X, Y, U, W ), ! perp( U,
% 121.04/121.46 W, Z, T ), perp( X, Y, Z, T ) }.
% 121.04/121.46 parent0: (129609) {G0,W15,D2,L3,V6,M3} { ! para( X, Y, U, W ), ! perp( U,
% 121.04/121.46 W, Z, T ), perp( X, Y, Z, T ) }.
% 121.04/121.46 substitution0:
% 121.04/121.46 X := X
% 121.04/121.46 Y := Y
% 121.04/121.46 Z := Z
% 121.04/121.46 T := T
% 121.04/121.46 U := U
% 121.04/121.46 W := W
% 121.04/121.46 end
% 121.04/121.46 permutation0:
% 121.04/121.46 0 ==> 0
% 121.04/121.46 1 ==> 1
% 121.04/121.46 2 ==> 2
% 121.04/121.46 end
% 121.04/121.46
% 121.04/121.46 subsumption: (10) {G0,W8,D2,L2,V3,M2} I { ! midp( Z, Y, X ), midp( Z, X, Y
% 121.04/121.46 ) }.
% 121.04/121.46 parent0: (129610) {G0,W8,D2,L2,V3,M2} { ! midp( Z, Y, X ), midp( Z, X, Y )
% 121.04/121.46 }.
% 121.04/121.46 substitution0:
% 121.04/121.46 X := X
% 121.04/121.46 Y := Y
% 121.04/121.46 Z := Z
% 121.04/121.46 end
% 121.04/121.46 permutation0:
% 121.04/121.46 0 ==> 0
% 121.04/121.46 1 ==> 1
% 121.04/121.46 end
% 121.04/121.46
% 121.04/121.46 subsumption: (14) {G0,W10,D2,L2,V4,M2} I { ! cyclic( X, Y, Z, T ), cyclic(
% 121.04/121.46 X, Z, Y, T ) }.
% 121.04/121.46 parent0: (129614) {G0,W10,D2,L2,V4,M2} { ! cyclic( X, Y, Z, T ), cyclic( X
% 121.04/121.46 , Z, Y, T ) }.
% 121.04/121.46 substitution0:
% 121.04/121.46 X := X
% 121.04/121.46 Y := Y
% 121.04/121.46 Z := Z
% 121.04/121.46 T := T
% 121.04/121.46 end
% 121.04/121.46 permutation0:
% 121.04/121.46 0 ==> 0
% 121.04/121.46 1 ==> 1
% 121.04/121.46 end
% 121.04/121.46
% 121.04/121.46 subsumption: (15) {G0,W10,D2,L2,V4,M2} I { ! cyclic( X, Y, Z, T ), cyclic(
% 121.04/121.46 Y, X, Z, T ) }.
% 121.04/121.46 parent0: (129615) {G0,W10,D2,L2,V4,M2} { ! cyclic( X, Y, Z, T ), cyclic( Y
% 121.04/121.46 , X, Z, T ) }.
% 121.04/121.46 substitution0:
% 121.04/121.46 X := X
% 121.04/121.46 Y := Y
% 121.04/121.46 Z := Z
% 121.04/121.46 T := T
% 121.04/121.46 end
% 121.04/121.46 permutation0:
% 121.04/121.46 0 ==> 0
% 121.04/121.46 1 ==> 1
% 121.04/121.46 end
% 121.04/121.46
% 121.04/121.46 subsumption: (18) {G0,W18,D2,L2,V8,M2} I { ! eqangle( X, Y, Z, T, U, W, V0
% 121.04/121.46 , V1 ), eqangle( Z, T, X, Y, V0, V1, U, W ) }.
% 121.04/121.46 parent0: (129618) {G0,W18,D2,L2,V8,M2} { ! eqangle( X, Y, Z, T, U, W, V0,
% 121.04/121.46 V1 ), eqangle( Z, T, X, Y, V0, V1, U, W ) }.
% 121.04/121.46 substitution0:
% 121.04/121.46 X := X
% 121.04/121.46 Y := Y
% 121.04/121.46 Z := Z
% 121.04/121.46 T := T
% 121.04/121.46 U := U
% 121.04/121.46 W := W
% 121.04/121.46 V0 := V0
% 121.04/121.46 V1 := V1
% 121.04/121.46 end
% 121.04/121.46 permutation0:
% 121.04/121.46 0 ==> 0
% 121.04/121.46 1 ==> 1
% 121.04/121.46 end
% 121.04/121.46
% 121.04/121.46 subsumption: (21) {G0,W27,D2,L3,V12,M3} I { ! eqangle( X, Y, Z, T, V2, V3,
% 121.04/121.46 V4, V5 ), ! eqangle( V2, V3, V4, V5, U, W, V0, V1 ), eqangle( X, Y, Z, T
% 121.04/121.46 , U, W, V0, V1 ) }.
% 121.04/121.46 parent0: (129621) {G0,W27,D2,L3,V12,M3} { ! eqangle( X, Y, Z, T, V2, V3,
% 121.04/121.46 V4, V5 ), ! eqangle( V2, V3, V4, V5, U, W, V0, V1 ), eqangle( X, Y, Z, T
% 121.04/121.46 , U, W, V0, V1 ) }.
% 121.04/121.46 substitution0:
% 121.04/121.46 X := X
% 121.04/121.46 Y := Y
% 121.04/121.46 Z := Z
% 121.04/121.46 T := T
% 121.04/121.46 U := U
% 121.04/121.46 W := W
% 121.04/121.46 V0 := V0
% 121.04/121.46 V1 := V1
% 121.04/121.46 V2 := V2
% 121.04/121.46 V3 := V3
% 121.04/121.46 V4 := V4
% 121.04/121.46 V5 := V5
% 121.04/121.46 end
% 121.04/121.46 permutation0:
% 121.04/121.46 0 ==> 0
% 121.04/121.46 1 ==> 1
% 121.04/121.46 2 ==> 2
% 121.04/121.46 end
% 121.04/121.46
% 121.04/121.46 subsumption: (39) {G0,W14,D2,L2,V6,M2} I { ! para( X, Y, Z, T ), eqangle( X
% 121.04/121.46 , Y, U, W, Z, T, U, W ) }.
% 121.04/121.46 parent0: (129639) {G0,W14,D2,L2,V6,M2} { ! para( X, Y, Z, T ), eqangle( X
% 121.04/121.46 , Y, U, W, Z, T, U, W ) }.
% 121.04/121.46 substitution0:
% 121.04/121.46 X := X
% 121.04/121.46 Y := Y
% 121.04/121.46 Z := Z
% 121.04/121.46 T := T
% 121.04/121.46 U := U
% 121.04/121.46 W := W
% 121.04/121.46 end
% 121.04/121.46 permutation0:
% 121.04/121.46 0 ==> 0
% 121.04/121.46 1 ==> 1
% 121.04/121.46 end
% 121.04/121.46
% 121.04/121.46 subsumption: (40) {G0,W14,D2,L2,V4,M2} I { ! cyclic( X, Y, Z, T ), eqangle
% 121.04/121.46 ( Z, X, Z, Y, T, X, T, Y ) }.
% 121.04/121.46 parent0: (129640) {G0,W14,D2,L2,V4,M2} { ! cyclic( X, Y, Z, T ), eqangle(
% 121.04/121.46 Z, X, Z, Y, T, X, T, Y ) }.
% 121.04/121.46 substitution0:
% 121.04/121.46 X := X
% 121.04/121.46 Y := Y
% 121.04/121.46 Z := Z
% 121.04/121.46 T := T
% 121.04/121.46 end
% 121.04/121.46 permutation0:
% 121.04/121.46 0 ==> 0
% 121.04/121.46 1 ==> 1
% 121.04/121.46 end
% 121.04/121.46
% 121.04/121.46 subsumption: (42) {G0,W18,D2,L3,V4,M3} I { ! eqangle( Z, X, Z, Y, T, X, T,
% 121.04/121.46 Y ), ! coll( Z, T, Y ), cyclic( X, Y, Z, T ) }.
% 121.04/121.46 parent0: (129642) {G0,W18,D2,L3,V4,M3} { ! eqangle( Z, X, Z, Y, T, X, T, Y
% 121.04/121.46 ), ! coll( Z, T, Y ), cyclic( X, Y, Z, T ) }.
% 121.04/121.46 substitution0:
% 121.04/121.46 X := X
% 121.04/121.46 Y := Y
% 121.04/121.46 Z := Z
% 121.04/121.46 T := T
% 121.04/121.46 end
% 121.04/121.46 permutation0:
% 121.04/121.46 0 ==> 0
% 121.04/121.46 1 ==> 1
% 121.04/121.46 2 ==> 2
% 121.04/121.46 end
% 121.04/121.46
% 121.04/121.46 subsumption: (43) {G0,W29,D2,L5,V6,M5} I { ! cyclic( X, Y, U, Z ), ! cyclic
% 121.04/121.46 ( X, Y, U, T ), ! cyclic( X, Y, U, W ), ! eqangle( U, X, U, Y, W, Z, W, T
% 121.04/121.46 ), cong( X, Y, Z, T ) }.
% 121.04/121.46 parent0: (129643) {G0,W29,D2,L5,V6,M5} { ! cyclic( X, Y, U, Z ), ! cyclic
% 121.04/121.46 ( X, Y, U, T ), ! cyclic( X, Y, U, W ), ! eqangle( U, X, U, Y, W, Z, W, T
% 121.04/121.46 ), cong( X, Y, Z, T ) }.
% 121.04/121.46 substitution0:
% 121.04/121.46 X := X
% 121.04/121.46 Y := Y
% 121.04/121.46 Z := Z
% 121.04/121.46 T := T
% 121.04/121.46 U := U
% 121.04/121.46 W := W
% 121.04/121.46 end
% 121.04/121.46 permutation0:
% 121.04/121.46 0 ==> 0
% 121.04/121.46 1 ==> 1
% 121.04/121.46 2 ==> 2
% 121.04/121.46 3 ==> 3
% 121.04/121.46 4 ==> 4
% 121.04/121.46 end
% 121.04/121.46
% 121.04/121.46 subsumption: (56) {G0,W15,D2,L3,V4,M3} I { ! cong( X, Z, Y, Z ), ! cong( X
% 121.04/121.46 , T, Y, T ), perp( X, Y, Z, T ) }.
% 121.04/121.46 parent0: (129656) {G0,W15,D2,L3,V4,M3} { ! cong( X, Z, Y, Z ), ! cong( X,
% 121.04/121.46 T, Y, T ), perp( X, Y, Z, T ) }.
% 121.04/121.46 substitution0:
% 121.04/121.46 X := X
% 121.04/121.46 Y := Y
% 121.04/121.46 Z := Z
% 121.04/121.46 T := T
% 121.04/121.46 end
% 121.04/121.46 permutation0:
% 121.04/121.46 0 ==> 0
% 121.04/121.46 1 ==> 1
% 121.04/121.46 2 ==> 2
% 121.04/121.46 end
% 121.04/121.46
% 121.04/121.46 subsumption: (63) {G0,W13,D2,L3,V5,M3} I { ! midp( U, X, Y ), ! midp( U, Z
% 121.04/121.46 , T ), para( X, Z, Y, T ) }.
% 121.04/121.46 parent0: (129663) {G0,W13,D2,L3,V5,M3} { ! midp( U, X, Y ), ! midp( U, Z,
% 121.04/121.46 T ), para( X, Z, Y, T ) }.
% 121.04/121.46 substitution0:
% 121.04/121.46 X := X
% 121.04/121.46 Y := Y
% 121.04/121.46 Z := Z
% 121.04/121.46 T := T
% 121.04/121.46 U := U
% 121.04/121.46 end
% 121.04/121.46 permutation0:
% 121.04/121.46 0 ==> 0
% 121.04/121.46 1 ==> 1
% 121.04/121.46 2 ==> 2
% 121.04/121.46 end
% 121.04/121.46
% 121.04/121.46 subsumption: (69) {G0,W8,D2,L2,V3,M2} I { ! midp( X, Y, Z ), coll( X, Y, Z
% 121.04/121.46 ) }.
% 121.04/121.46 parent0: (129669) {G0,W8,D2,L2,V3,M2} { ! midp( X, Y, Z ), coll( X, Y, Z )
% 121.04/121.46 }.
% 121.04/121.46 substitution0:
% 121.04/121.46 X := X
% 121.04/121.46 Y := Y
% 121.04/121.46 Z := Z
% 121.04/121.46 end
% 121.04/121.46 permutation0:
% 121.04/121.46 0 ==> 0
% 121.04/121.46 1 ==> 1
% 121.04/121.46 end
% 121.04/121.46
% 121.04/121.46 subsumption: (88) {G0,W22,D3,L5,V7,M5} I { ! midp( Z, X, Y ), ! midp( W, T
% 121.04/121.46 , U ), ! coll( T, X, Y ), ! coll( U, X, Y ), midp( skol7( X, V0 ), X, V0
% 121.04/121.46 ) }.
% 121.04/121.46 parent0: (129689) {G0,W22,D3,L5,V7,M5} { ! midp( Z, X, Y ), ! midp( W, T,
% 121.04/121.46 U ), ! coll( T, X, Y ), ! coll( U, X, Y ), midp( skol7( X, V0 ), X, V0 )
% 121.04/121.46 }.
% 121.04/121.46 substitution0:
% 121.04/121.46 X := X
% 121.04/121.46 Y := Y
% 121.04/121.46 Z := Z
% 121.04/121.46 T := T
% 121.04/121.46 U := U
% 121.04/121.46 W := W
% 121.04/121.46 V0 := V0
% 121.04/121.46 end
% 121.04/121.46 permutation0:
% 121.04/121.46 0 ==> 0
% 121.04/121.46 1 ==> 1
% 121.04/121.46 2 ==> 2
% 121.04/121.46 3 ==> 3
% 121.04/121.46 4 ==> 4
% 121.04/121.46 end
% 121.04/121.46
% 121.04/121.46 subsumption: (119) {G0,W4,D2,L1,V0,M1} I { midp( skol20, skol26, skol25 )
% 121.04/121.46 }.
% 121.04/121.46 parent0: (129720) {G0,W4,D2,L1,V0,M1} { midp( skol20, skol26, skol25 ) }.
% 121.04/121.46 substitution0:
% 121.04/121.46 end
% 121.04/121.46 permutation0:
% 121.04/121.46 0 ==> 0
% 121.04/121.46 end
% 121.04/121.46
% 121.04/121.46 subsumption: (123) {G0,W4,D2,L1,V0,M1} I { midp( skol30, skol27, skol28 )
% 121.04/121.46 }.
% 121.04/121.46 parent0: (129724) {G0,W4,D2,L1,V0,M1} { midp( skol30, skol27, skol28 ) }.
% 121.04/121.46 substitution0:
% 121.04/121.46 end
% 121.04/121.46 permutation0:
% 121.04/121.46 0 ==> 0
% 121.04/121.46 end
% 121.04/121.46
% 121.04/121.46 subsumption: (125) {G0,W9,D2,L1,V0,M1} I { ! eqangle( skol23, skol22,
% 121.04/121.46 skol22, skol24, skol24, skol22, skol22, skol20 ) }.
% 121.04/121.46 parent0: (129726) {G0,W9,D2,L1,V0,M1} { ! eqangle( skol23, skol22, skol22
% 121.04/121.46 , skol24, skol24, skol22, skol22, skol20 ) }.
% 121.04/121.46 substitution0:
% 121.04/121.46 end
% 121.04/121.46 permutation0:
% 121.04/121.46 0 ==> 0
% 121.04/121.46 end
% 121.04/121.46
% 121.04/121.46 factor: (130092) {G0,W18,D3,L4,V4,M4} { ! midp( X, Y, Z ), ! coll( Y, Y, Z
% 121.04/121.46 ), ! coll( Z, Y, Z ), midp( skol7( Y, T ), Y, T ) }.
% 121.04/121.46 parent0[0, 1]: (88) {G0,W22,D3,L5,V7,M5} I { ! midp( Z, X, Y ), ! midp( W,
% 121.04/121.46 T, U ), ! coll( T, X, Y ), ! coll( U, X, Y ), midp( skol7( X, V0 ), X, V0
% 121.04/121.46 ) }.
% 121.04/121.46 substitution0:
% 121.04/121.46 X := Y
% 121.04/121.46 Y := Z
% 121.04/121.46 Z := X
% 121.04/121.46 T := Y
% 121.04/121.46 U := Z
% 121.04/121.46 W := X
% 121.04/121.46 V0 := T
% 121.04/121.46 end
% 121.04/121.46
% 121.04/121.46 subsumption: (148) {G1,W18,D3,L4,V4,M4} F(88) { ! midp( X, Y, Z ), ! coll(
% 121.04/121.46 Y, Y, Z ), ! coll( Z, Y, Z ), midp( skol7( Y, T ), Y, T ) }.
% 121.04/121.46 parent0: (130092) {G0,W18,D3,L4,V4,M4} { ! midp( X, Y, Z ), ! coll( Y, Y,
% 121.04/121.46 Z ), ! coll( Z, Y, Z ), midp( skol7( Y, T ), Y, T ) }.
% 121.04/121.46 substitution0:
% 121.04/121.46 X := X
% 121.04/121.46 Y := Y
% 121.04/121.46 Z := Z
% 121.04/121.46 T := T
% 121.04/121.46 end
% 121.04/121.46 permutation0:
% 121.04/121.46 0 ==> 0
% 121.04/121.46 1 ==> 1
% 121.04/121.46 2 ==> 2
% 121.04/121.46 3 ==> 3
% 121.04/121.46 end
% 121.04/121.46
% 121.04/121.46 resolution: (130095) {G1,W4,D2,L1,V0,M1} { coll( skol20, skol26, skol25 )
% 121.04/121.46 }.
% 121.04/121.46 parent0[0]: (69) {G0,W8,D2,L2,V3,M2} I { ! midp( X, Y, Z ), coll( X, Y, Z )
% 121.04/121.46 }.
% 121.04/121.46 parent1[0]: (119) {G0,W4,D2,L1,V0,M1} I { midp( skol20, skol26, skol25 )
% 121.04/121.46 }.
% 121.04/121.46 substitution0:
% 121.04/121.46 X := skol20
% 121.04/121.46 Y := skol26
% 121.04/121.46 Z := skol25
% 121.04/121.46 end
% 121.04/121.46 substitution1:
% 121.04/121.46 end
% 121.04/121.46
% 121.04/121.46 subsumption: (164) {G1,W4,D2,L1,V0,M1} R(69,119) { coll( skol20, skol26,
% 121.04/121.46 skol25 ) }.
% 121.04/121.46 parent0: (130095) {G1,W4,D2,L1,V0,M1} { coll( skol20, skol26, skol25 ) }.
% 121.04/121.46 substitution0:
% 121.04/121.46 end
% 121.04/121.46 permutation0:
% 121.04/121.46 0 ==> 0
% 121.04/121.46 end
% 121.04/121.46
% 121.04/121.46 resolution: (130096) {G1,W4,D2,L1,V0,M1} { coll( skol30, skol27, skol28 )
% 121.04/121.46 }.
% 121.04/121.46 parent0[0]: (69) {G0,W8,D2,L2,V3,M2} I { ! midp( X, Y, Z ), coll( X, Y, Z )
% 121.04/121.46 }.
% 121.04/121.46 parent1[0]: (123) {G0,W4,D2,L1,V0,M1} I { midp( skol30, skol27, skol28 )
% 121.04/121.46 }.
% 121.04/121.46 substitution0:
% 121.04/121.46 X := skol30
% 121.04/121.46 Y := skol27
% 121.04/121.46 Z := skol28
% 121.04/121.46 end
% 121.04/121.46 substitution1:
% 121.04/121.46 end
% 121.04/121.46
% 121.04/121.46 subsumption: (168) {G1,W4,D2,L1,V0,M1} R(69,123) { coll( skol30, skol27,
% 121.04/121.46 skol28 ) }.
% 121.04/121.46 parent0: (130096) {G1,W4,D2,L1,V0,M1} { coll( skol30, skol27, skol28 ) }.
% 121.04/121.46 substitution0:
% 121.04/121.46 end
% 121.04/121.46 permutation0:
% 121.04/121.46 0 ==> 0
% 121.04/121.46 end
% 121.04/121.46
% 121.04/121.46 resolution: (130097) {G1,W4,D2,L1,V0,M1} { coll( skol20, skol25, skol26 )
% 121.04/121.46 }.
% 121.04/121.46 parent0[0]: (0) {G0,W8,D2,L2,V3,M2} I { ! coll( X, Y, Z ), coll( X, Z, Y )
% 121.04/121.46 }.
% 121.04/121.46 parent1[0]: (164) {G1,W4,D2,L1,V0,M1} R(69,119) { coll( skol20, skol26,
% 121.04/121.46 skol25 ) }.
% 121.04/121.46 substitution0:
% 121.04/121.46 X := skol20
% 121.04/121.46 Y := skol26
% 121.04/121.46 Z := skol25
% 121.04/121.46 end
% 121.04/121.46 substitution1:
% 121.04/121.46 end
% 121.04/121.46
% 121.04/121.46 subsumption: (169) {G2,W4,D2,L1,V0,M1} R(164,0) { coll( skol20, skol25,
% 121.04/121.46 skol26 ) }.
% 121.04/121.46 parent0: (130097) {G1,W4,D2,L1,V0,M1} { coll( skol20, skol25, skol26 ) }.
% 121.04/121.46 substitution0:
% 121.04/121.46 end
% 121.04/121.46 permutation0:
% 121.04/121.46 0 ==> 0
% 121.04/121.46 end
% 121.04/121.46
% 121.04/121.46 resolution: (130098) {G1,W4,D2,L1,V0,M1} { coll( skol25, skol20, skol26 )
% 121.04/121.46 }.
% 121.04/121.46 parent0[0]: (1) {G0,W8,D2,L2,V3,M2} I { ! coll( X, Y, Z ), coll( Y, X, Z )
% 121.04/121.46 }.
% 121.04/121.46 parent1[0]: (169) {G2,W4,D2,L1,V0,M1} R(164,0) { coll( skol20, skol25,
% 121.04/121.46 skol26 ) }.
% 121.04/121.46 substitution0:
% 121.04/121.46 X := skol20
% 121.04/121.46 Y := skol25
% 121.04/121.46 Z := skol26
% 121.04/121.46 end
% 121.04/121.46 substitution1:
% 121.04/121.46 end
% 121.04/121.46
% 121.04/121.46 subsumption: (170) {G3,W4,D2,L1,V0,M1} R(1,169) { coll( skol25, skol20,
% 121.04/121.46 skol26 ) }.
% 121.04/121.46 parent0: (130098) {G1,W4,D2,L1,V0,M1} { coll( skol25, skol20, skol26 ) }.
% 121.04/121.46 substitution0:
% 121.04/121.46 end
% 121.04/121.46 permutation0:
% 121.04/121.46 0 ==> 0
% 121.04/121.46 end
% 121.04/121.46
% 121.04/121.46 resolution: (130099) {G1,W4,D2,L1,V0,M1} { coll( skol26, skol20, skol25 )
% 121.04/121.46 }.
% 121.04/121.46 parent0[0]: (1) {G0,W8,D2,L2,V3,M2} I { ! coll( X, Y, Z ), coll( Y, X, Z )
% 121.04/121.46 }.
% 121.04/121.46 parent1[0]: (164) {G1,W4,D2,L1,V0,M1} R(69,119) { coll( skol20, skol26,
% 121.04/121.46 skol25 ) }.
% 121.04/121.46 substitution0:
% 121.04/121.46 X := skol20
% 121.04/121.46 Y := skol26
% 121.04/121.46 Z := skol25
% 121.04/121.46 end
% 121.04/121.46 substitution1:
% 121.04/121.46 end
% 121.04/121.46
% 121.04/121.46 subsumption: (171) {G2,W4,D2,L1,V0,M1} R(1,164) { coll( skol26, skol20,
% 121.04/121.46 skol25 ) }.
% 121.04/121.46 parent0: (130099) {G1,W4,D2,L1,V0,M1} { coll( skol26, skol20, skol25 ) }.
% 121.04/121.46 substitution0:
% 121.04/121.46 end
% 121.04/121.46 permutation0:
% 121.04/121.46 0 ==> 0
% 121.04/121.46 end
% 121.04/121.46
% 121.04/121.46 resolution: (130103) {G1,W12,D2,L3,V4,M3} { coll( X, Z, Y ), ! coll( Z, T
% 121.04/121.46 , X ), ! coll( Z, T, Y ) }.
% 121.04/121.46 parent0[0]: (0) {G0,W8,D2,L2,V3,M2} I { ! coll( X, Y, Z ), coll( X, Z, Y )
% 121.04/121.46 }.
% 121.04/121.46 parent1[2]: (2) {G0,W12,D2,L3,V4,M3} I { ! coll( X, T, Y ), ! coll( X, T, Z
% 121.04/121.46 ), coll( Y, Z, X ) }.
% 121.04/121.46 substitution0:
% 121.04/121.46 X := X
% 121.04/121.46 Y := Y
% 121.04/121.46 Z := Z
% 121.04/121.46 end
% 121.04/121.46 substitution1:
% 121.04/121.46 X := Z
% 121.04/121.46 Y := X
% 121.04/121.46 Z := Y
% 121.04/121.46 T := T
% 121.04/121.46 end
% 121.04/121.46
% 121.04/121.46 subsumption: (197) {G1,W12,D2,L3,V4,M3} R(2,0) { ! coll( X, Y, Z ), ! coll
% 121.04/121.46 ( X, Y, T ), coll( Z, X, T ) }.
% 121.04/121.46 parent0: (130103) {G1,W12,D2,L3,V4,M3} { coll( X, Z, Y ), ! coll( Z, T, X
% 121.04/121.46 ), ! coll( Z, T, Y ) }.
% 121.04/121.46 substitution0:
% 121.04/121.46 X := Z
% 121.04/121.46 Y := T
% 121.04/121.46 Z := X
% 121.04/121.46 T := Y
% 121.04/121.46 end
% 121.04/121.46 permutation0:
% 121.04/121.46 0 ==> 2
% 121.04/121.46 1 ==> 0
% 121.04/121.46 2 ==> 1
% 121.04/121.46 end
% 121.04/121.46
% 121.04/121.46 factor: (130105) {G1,W8,D2,L2,V3,M2} { ! coll( X, Y, Z ), coll( Z, X, Z )
% 121.04/121.46 }.
% 121.04/121.46 parent0[0, 1]: (197) {G1,W12,D2,L3,V4,M3} R(2,0) { ! coll( X, Y, Z ), !
% 121.04/121.46 coll( X, Y, T ), coll( Z, X, T ) }.
% 121.04/121.46 substitution0:
% 121.04/121.46 X := X
% 121.04/121.46 Y := Y
% 121.04/121.46 Z := Z
% 121.04/121.46 T := Z
% 121.04/121.46 end
% 121.04/121.46
% 121.04/121.46 subsumption: (198) {G2,W8,D2,L2,V3,M2} F(197) { ! coll( X, Y, Z ), coll( Z
% 121.04/121.46 , X, Z ) }.
% 121.04/121.46 parent0: (130105) {G1,W8,D2,L2,V3,M2} { ! coll( X, Y, Z ), coll( Z, X, Z )
% 121.04/121.46 }.
% 121.04/121.46 substitution0:
% 121.04/121.46 X := X
% 121.04/121.46 Y := Y
% 121.04/121.46 Z := Z
% 121.04/121.46 end
% 121.04/121.46 permutation0:
% 121.04/121.46 0 ==> 0
% 121.04/121.46 1 ==> 1
% 121.04/121.46 end
% 121.04/121.46
% 121.04/121.46 resolution: (130107) {G1,W10,D2,L2,V4,M2} { para( X, Y, T, Z ), ! para( Z
% 121.04/121.46 , T, X, Y ) }.
% 121.04/121.46 parent0[0]: (3) {G0,W10,D2,L2,V4,M2} I { ! para( X, Y, Z, T ), para( X, Y,
% 121.04/121.46 T, Z ) }.
% 121.04/121.46 parent1[1]: (4) {G0,W10,D2,L2,V4,M2} I { ! para( X, Y, Z, T ), para( Z, T,
% 121.04/121.46 X, Y ) }.
% 121.04/121.46 substitution0:
% 121.04/121.46 X := X
% 121.04/121.46 Y := Y
% 121.04/121.46 Z := Z
% 121.04/121.46 T := T
% 121.04/121.46 end
% 121.04/121.46 substitution1:
% 121.04/121.46 X := Z
% 121.04/121.46 Y := T
% 121.04/121.46 Z := X
% 121.04/121.46 T := Y
% 121.04/121.46 end
% 121.04/121.46
% 121.04/121.46 subsumption: (226) {G1,W10,D2,L2,V4,M2} R(4,3) { ! para( X, Y, Z, T ), para
% 121.04/121.46 ( Z, T, Y, X ) }.
% 121.04/121.46 parent0: (130107) {G1,W10,D2,L2,V4,M2} { para( X, Y, T, Z ), ! para( Z, T
% 121.04/121.46 , X, Y ) }.
% 121.04/121.46 substitution0:
% 121.04/121.46 X := Z
% 121.04/121.46 Y := T
% 121.04/121.46 Z := X
% 121.04/121.46 T := Y
% 121.04/121.46 end
% 121.04/121.46 permutation0:
% 121.04/121.46 0 ==> 1
% 121.04/121.46 1 ==> 0
% 121.04/121.46 end
% 121.04/121.46
% 121.04/121.46 resolution: (130108) {G1,W4,D2,L1,V0,M1} { coll( skol27, skol30, skol28 )
% 121.04/121.46 }.
% 121.04/121.46 parent0[0]: (1) {G0,W8,D2,L2,V3,M2} I { ! coll( X, Y, Z ), coll( Y, X, Z )
% 121.04/121.46 }.
% 121.04/121.46 parent1[0]: (168) {G1,W4,D2,L1,V0,M1} R(69,123) { coll( skol30, skol27,
% 121.04/121.46 skol28 ) }.
% 121.04/121.46 substitution0:
% 121.04/121.46 X := skol30
% 121.04/121.46 Y := skol27
% 121.04/121.46 Z := skol28
% 121.04/121.46 end
% 121.04/121.46 substitution1:
% 121.04/121.46 end
% 121.04/121.46
% 121.04/121.46 subsumption: (264) {G2,W4,D2,L1,V0,M1} R(168,1) { coll( skol27, skol30,
% 121.04/121.46 skol28 ) }.
% 121.04/121.46 parent0: (130108) {G1,W4,D2,L1,V0,M1} { coll( skol27, skol30, skol28 ) }.
% 121.04/121.46 substitution0:
% 121.04/121.46 end
% 121.04/121.46 permutation0:
% 121.04/121.46 0 ==> 0
% 121.04/121.46 end
% 121.04/121.46
% 121.04/121.46 resolution: (130109) {G1,W4,D2,L1,V0,M1} { coll( skol27, skol28, skol30 )
% 121.04/121.46 }.
% 121.04/121.46 parent0[0]: (0) {G0,W8,D2,L2,V3,M2} I { ! coll( X, Y, Z ), coll( X, Z, Y )
% 121.04/121.46 }.
% 121.04/121.46 parent1[0]: (264) {G2,W4,D2,L1,V0,M1} R(168,1) { coll( skol27, skol30,
% 121.04/121.46 skol28 ) }.
% 121.04/121.46 substitution0:
% 121.04/121.46 X := skol27
% 121.04/121.46 Y := skol30
% 121.04/121.46 Z := skol28
% 121.04/121.46 end
% 121.04/121.46 substitution1:
% 121.04/121.46 end
% 121.04/121.46
% 121.04/121.46 subsumption: (268) {G3,W4,D2,L1,V0,M1} R(264,0) { coll( skol27, skol28,
% 121.04/121.46 skol30 ) }.
% 121.04/121.46 parent0: (130109) {G1,W4,D2,L1,V0,M1} { coll( skol27, skol28, skol30 ) }.
% 121.04/121.46 substitution0:
% 121.04/121.46 end
% 121.04/121.46 permutation0:
% 121.04/121.46 0 ==> 0
% 121.04/121.46 end
% 121.04/121.46
% 121.04/121.46 resolution: (130110) {G1,W4,D2,L1,V0,M1} { coll( skol28, skol27, skol30 )
% 121.04/121.46 }.
% 121.04/121.46 parent0[0]: (1) {G0,W8,D2,L2,V3,M2} I { ! coll( X, Y, Z ), coll( Y, X, Z )
% 121.04/121.46 }.
% 121.04/121.46 parent1[0]: (268) {G3,W4,D2,L1,V0,M1} R(264,0) { coll( skol27, skol28,
% 121.04/121.46 skol30 ) }.
% 121.04/121.46 substitution0:
% 121.04/121.46 X := skol27
% 121.04/121.46 Y := skol28
% 121.04/121.46 Z := skol30
% 121.04/121.46 end
% 121.04/121.46 substitution1:
% 121.04/121.46 end
% 121.04/121.46
% 121.04/121.46 subsumption: (273) {G4,W4,D2,L1,V0,M1} R(268,1) { coll( skol28, skol27,
% 121.04/121.46 skol30 ) }.
% 121.04/121.46 parent0: (130110) {G1,W4,D2,L1,V0,M1} { coll( skol28, skol27, skol30 ) }.
% 121.04/121.46 substitution0:
% 121.04/121.46 end
% 121.04/121.46 permutation0:
% 121.04/121.46 0 ==> 0
% 121.04/121.46 end
% 121.04/121.46
% 121.04/121.46 resolution: (130111) {G1,W4,D2,L1,V0,M1} { coll( skol28, skol30, skol27 )
% 121.04/121.46 }.
% 121.04/121.46 parent0[0]: (0) {G0,W8,D2,L2,V3,M2} I { ! coll( X, Y, Z ), coll( X, Z, Y )
% 121.04/121.46 }.
% 121.04/121.46 parent1[0]: (273) {G4,W4,D2,L1,V0,M1} R(268,1) { coll( skol28, skol27,
% 121.04/121.46 skol30 ) }.
% 121.04/121.46 substitution0:
% 121.04/121.46 X := skol28
% 121.04/121.46 Y := skol27
% 121.04/121.46 Z := skol30
% 121.04/121.46 end
% 121.04/121.46 substitution1:
% 121.04/121.46 end
% 121.04/121.46
% 121.04/121.46 subsumption: (276) {G5,W4,D2,L1,V0,M1} R(273,0) { coll( skol28, skol30,
% 121.04/121.46 skol27 ) }.
% 121.04/121.46 parent0: (130111) {G1,W4,D2,L1,V0,M1} { coll( skol28, skol30, skol27 ) }.
% 121.04/121.46 substitution0:
% 121.04/121.46 end
% 121.04/121.46 permutation0:
% 121.04/121.46 0 ==> 0
% 121.04/121.46 end
% 121.04/121.46
% 121.04/121.46 resolution: (130112) {G1,W15,D2,L3,V6,M3} { para( Z, T, X, Y ), ! perp( X
% 121.04/121.46 , Y, U, W ), ! perp( U, W, Z, T ) }.
% 121.04/121.46 parent0[0]: (4) {G0,W10,D2,L2,V4,M2} I { ! para( X, Y, Z, T ), para( Z, T,
% 121.04/121.46 X, Y ) }.
% 121.04/121.46 parent1[2]: (8) {G0,W15,D2,L3,V6,M3} I { ! perp( X, Y, U, W ), ! perp( U, W
% 121.04/121.46 , Z, T ), para( X, Y, Z, T ) }.
% 121.04/121.46 substitution0:
% 121.04/121.46 X := X
% 121.04/121.46 Y := Y
% 121.04/121.46 Z := Z
% 121.04/121.46 T := T
% 121.04/121.46 end
% 121.04/121.46 substitution1:
% 121.04/121.46 X := X
% 121.04/121.46 Y := Y
% 121.04/121.46 Z := Z
% 121.04/121.46 T := T
% 121.04/121.46 U := U
% 121.04/121.46 W := W
% 121.04/121.46 end
% 121.04/121.46
% 121.04/121.46 subsumption: (287) {G1,W15,D2,L3,V6,M3} R(8,4) { ! perp( X, Y, Z, T ), !
% 121.04/121.46 perp( Z, T, U, W ), para( U, W, X, Y ) }.
% 121.04/121.46 parent0: (130112) {G1,W15,D2,L3,V6,M3} { para( Z, T, X, Y ), ! perp( X, Y
% 121.04/121.46 , U, W ), ! perp( U, W, Z, T ) }.
% 121.04/121.46 substitution0:
% 121.04/121.46 X := X
% 121.04/121.46 Y := Y
% 121.04/121.46 Z := U
% 121.04/121.46 T := W
% 121.04/121.46 U := Z
% 121.04/121.46 W := T
% 121.04/121.46 end
% 121.04/121.46 permutation0:
% 121.04/121.46 0 ==> 2
% 121.04/121.46 1 ==> 0
% 121.04/121.46 2 ==> 1
% 121.04/121.46 end
% 121.04/121.46
% 121.04/121.46 resolution: (130114) {G3,W4,D2,L1,V0,M1} { coll( skol27, skol28, skol27 )
% 121.04/121.46 }.
% 121.04/121.46 parent0[0]: (198) {G2,W8,D2,L2,V3,M2} F(197) { ! coll( X, Y, Z ), coll( Z,
% 121.04/121.46 X, Z ) }.
% 121.04/121.46 parent1[0]: (276) {G5,W4,D2,L1,V0,M1} R(273,0) { coll( skol28, skol30,
% 121.04/121.46 skol27 ) }.
% 121.04/121.46 substitution0:
% 121.04/121.46 X := skol28
% 121.04/121.46 Y := skol30
% 121.04/121.46 Z := skol27
% 121.04/121.46 end
% 121.04/121.46 substitution1:
% 121.04/121.46 end
% 121.04/121.46
% 121.04/121.46 subsumption: (294) {G6,W4,D2,L1,V0,M1} R(198,276) { coll( skol27, skol28,
% 121.04/121.46 skol27 ) }.
% 121.04/121.46 parent0: (130114) {G3,W4,D2,L1,V0,M1} { coll( skol27, skol28, skol27 ) }.
% 121.04/121.46 substitution0:
% 121.04/121.46 end
% 121.04/121.46 permutation0:
% 121.04/121.46 0 ==> 0
% 121.04/121.46 end
% 121.04/121.46
% 121.04/121.46 resolution: (130115) {G3,W4,D2,L1,V0,M1} { coll( skol28, skol27, skol28 )
% 121.04/121.46 }.
% 121.04/121.46 parent0[0]: (198) {G2,W8,D2,L2,V3,M2} F(197) { ! coll( X, Y, Z ), coll( Z,
% 121.04/121.46 X, Z ) }.
% 121.04/121.46 parent1[0]: (264) {G2,W4,D2,L1,V0,M1} R(168,1) { coll( skol27, skol30,
% 121.04/121.46 skol28 ) }.
% 121.04/121.46 substitution0:
% 121.04/121.46 X := skol27
% 121.04/121.46 Y := skol30
% 121.04/121.46 Z := skol28
% 121.04/121.46 end
% 121.04/121.46 substitution1:
% 121.04/121.46 end
% 121.04/121.46
% 121.04/121.46 subsumption: (297) {G3,W4,D2,L1,V0,M1} R(198,264) { coll( skol28, skol27,
% 121.04/121.46 skol28 ) }.
% 121.04/121.46 parent0: (130115) {G3,W4,D2,L1,V0,M1} { coll( skol28, skol27, skol28 ) }.
% 121.04/121.46 substitution0:
% 121.04/121.46 end
% 121.04/121.46 permutation0:
% 121.04/121.46 0 ==> 0
% 121.04/121.46 end
% 121.04/121.46
% 121.04/121.46 resolution: (130116) {G1,W12,D2,L3,V4,M3} { coll( Z, X, Z ), ! coll( Z, T
% 121.04/121.46 , X ), ! coll( Z, T, Y ) }.
% 121.04/121.46 parent0[0]: (198) {G2,W8,D2,L2,V3,M2} F(197) { ! coll( X, Y, Z ), coll( Z,
% 121.04/121.46 X, Z ) }.
% 121.04/121.46 parent1[2]: (2) {G0,W12,D2,L3,V4,M3} I { ! coll( X, T, Y ), ! coll( X, T, Z
% 121.04/121.46 ), coll( Y, Z, X ) }.
% 121.04/121.46 substitution0:
% 121.04/121.46 X := X
% 121.04/121.46 Y := Y
% 121.04/121.46 Z := Z
% 121.04/121.46 end
% 121.04/121.46 substitution1:
% 121.04/121.46 X := Z
% 121.04/121.46 Y := X
% 121.04/121.46 Z := Y
% 121.04/121.46 T := T
% 121.04/121.46 end
% 121.04/121.46
% 121.04/121.46 subsumption: (317) {G3,W12,D2,L3,V4,M3} R(198,2) { coll( X, Y, X ), ! coll
% 121.04/121.46 ( X, Z, Y ), ! coll( X, Z, T ) }.
% 121.04/121.46 parent0: (130116) {G1,W12,D2,L3,V4,M3} { coll( Z, X, Z ), ! coll( Z, T, X
% 121.04/121.46 ), ! coll( Z, T, Y ) }.
% 121.04/121.46 substitution0:
% 121.04/121.46 X := Y
% 121.04/121.46 Y := Y
% 121.04/121.46 Z := X
% 121.04/121.46 T := Z
% 121.04/121.46 end
% 121.04/121.46 permutation0:
% 121.04/121.46 0 ==> 0
% 121.04/121.46 1 ==> 1
% 121.04/121.46 2 ==> 1
% 121.04/121.46 end
% 121.04/121.46
% 121.04/121.46 resolution: (130118) {G3,W4,D2,L1,V0,M1} { coll( skol25, skol26, skol25 )
% 121.04/121.46 }.
% 121.04/121.46 parent0[0]: (198) {G2,W8,D2,L2,V3,M2} F(197) { ! coll( X, Y, Z ), coll( Z,
% 121.04/121.46 X, Z ) }.
% 121.04/121.46 parent1[0]: (171) {G2,W4,D2,L1,V0,M1} R(1,164) { coll( skol26, skol20,
% 121.04/121.46 skol25 ) }.
% 121.04/121.46 substitution0:
% 121.04/121.46 X := skol26
% 121.04/121.46 Y := skol20
% 121.04/121.46 Z := skol25
% 121.04/121.46 end
% 121.04/121.46 substitution1:
% 121.04/121.46 end
% 121.04/121.46
% 121.04/121.46 subsumption: (319) {G3,W4,D2,L1,V0,M1} R(198,171) { coll( skol25, skol26,
% 121.04/121.46 skol25 ) }.
% 121.04/121.46 parent0: (130118) {G3,W4,D2,L1,V0,M1} { coll( skol25, skol26, skol25 ) }.
% 121.04/121.46 substitution0:
% 121.04/121.46 end
% 121.04/121.46 permutation0:
% 121.04/121.46 0 ==> 0
% 121.04/121.46 end
% 121.04/121.46
% 121.04/121.46 resolution: (130119) {G3,W4,D2,L1,V0,M1} { coll( skol26, skol25, skol26 )
% 121.04/121.46 }.
% 121.04/121.46 parent0[0]: (198) {G2,W8,D2,L2,V3,M2} F(197) { ! coll( X, Y, Z ), coll( Z,
% 121.04/121.46 X, Z ) }.
% 121.04/121.46 parent1[0]: (170) {G3,W4,D2,L1,V0,M1} R(1,169) { coll( skol25, skol20,
% 121.04/121.46 skol26 ) }.
% 121.04/121.46 substitution0:
% 121.04/121.46 X := skol25
% 121.04/121.46 Y := skol20
% 121.04/121.46 Z := skol26
% 121.04/121.46 end
% 121.04/121.46 substitution1:
% 121.04/121.46 end
% 121.04/121.46
% 121.04/121.46 subsumption: (322) {G4,W4,D2,L1,V0,M1} R(198,170) { coll( skol26, skol25,
% 121.04/121.46 skol26 ) }.
% 121.04/121.46 parent0: (130119) {G3,W4,D2,L1,V0,M1} { coll( skol26, skol25, skol26 ) }.
% 121.04/121.46 substitution0:
% 121.04/121.46 end
% 121.04/121.46 permutation0:
% 121.04/121.46 0 ==> 0
% 121.04/121.46 end
% 121.04/121.46
% 121.04/121.46 factor: (130120) {G3,W8,D2,L2,V3,M2} { coll( X, Y, X ), ! coll( X, Z, Y )
% 121.04/121.46 }.
% 121.04/121.46 parent0[1, 2]: (317) {G3,W12,D2,L3,V4,M3} R(198,2) { coll( X, Y, X ), !
% 121.04/121.46 coll( X, Z, Y ), ! coll( X, Z, T ) }.
% 121.04/121.46 substitution0:
% 121.04/121.46 X := X
% 121.04/121.46 Y := Y
% 121.04/121.46 Z := Z
% 121.04/121.46 T := Y
% 121.04/121.46 end
% 121.04/121.46
% 121.04/121.46 subsumption: (329) {G4,W8,D2,L2,V3,M2} F(317) { coll( X, Y, X ), ! coll( X
% 121.04/121.46 , Z, Y ) }.
% 121.04/121.46 parent0: (130120) {G3,W8,D2,L2,V3,M2} { coll( X, Y, X ), ! coll( X, Z, Y )
% 121.04/121.46 }.
% 121.04/121.46 substitution0:
% 121.04/121.46 X := X
% 121.04/121.46 Y := Y
% 121.04/121.46 Z := Z
% 121.04/121.46 end
% 121.04/121.46 permutation0:
% 121.04/121.46 0 ==> 0
% 121.04/121.46 1 ==> 1
% 121.04/121.46 end
% 121.04/121.46
% 121.04/121.46 resolution: (130121) {G1,W15,D2,L3,V6,M3} { ! para( X, Y, Z, T ), perp( X
% 121.04/121.46 , Y, U, W ), ! perp( U, W, Z, T ) }.
% 121.04/121.46 parent0[1]: (9) {G0,W15,D2,L3,V6,M3} I { ! para( X, Y, U, W ), ! perp( U, W
% 121.04/121.46 , Z, T ), perp( X, Y, Z, T ) }.
% 121.04/121.46 parent1[1]: (7) {G0,W10,D2,L2,V4,M2} I { ! perp( X, Y, Z, T ), perp( Z, T,
% 121.04/121.46 X, Y ) }.
% 121.04/121.46 substitution0:
% 121.04/121.46 X := X
% 121.04/121.46 Y := Y
% 121.04/121.46 Z := U
% 121.04/121.46 T := W
% 121.04/121.46 U := Z
% 121.04/121.46 W := T
% 121.04/121.46 end
% 121.04/121.46 substitution1:
% 121.04/121.46 X := U
% 121.04/121.46 Y := W
% 121.04/121.46 Z := Z
% 121.04/121.46 T := T
% 121.04/121.46 end
% 121.04/121.46
% 121.04/121.46 subsumption: (338) {G1,W15,D2,L3,V6,M3} R(9,7) { ! para( X, Y, Z, T ), perp
% 121.04/121.46 ( X, Y, U, W ), ! perp( U, W, Z, T ) }.
% 121.04/121.46 parent0: (130121) {G1,W15,D2,L3,V6,M3} { ! para( X, Y, Z, T ), perp( X, Y
% 121.04/121.46 , U, W ), ! perp( U, W, Z, T ) }.
% 121.04/121.46 substitution0:
% 121.04/121.46 X := X
% 121.04/121.46 Y := Y
% 121.04/121.46 Z := Z
% 121.04/121.46 T := T
% 121.04/121.46 U := U
% 121.04/121.46 W := W
% 121.04/121.46 end
% 121.04/121.46 permutation0:
% 121.04/121.46 0 ==> 0
% 121.04/121.46 1 ==> 1
% 121.04/121.46 2 ==> 2
% 121.04/121.46 end
% 121.04/121.46
% 121.04/121.46 resolution: (130122) {G1,W4,D2,L1,V0,M1} { midp( skol20, skol25, skol26 )
% 121.04/121.46 }.
% 121.04/121.46 parent0[0]: (10) {G0,W8,D2,L2,V3,M2} I { ! midp( Z, Y, X ), midp( Z, X, Y )
% 121.04/121.46 }.
% 121.04/121.46 parent1[0]: (119) {G0,W4,D2,L1,V0,M1} I { midp( skol20, skol26, skol25 )
% 121.04/121.46 }.
% 121.04/121.46 substitution0:
% 121.04/121.46 X := skol25
% 121.04/121.46 Y := skol26
% 121.04/121.46 Z := skol20
% 121.04/121.46 end
% 121.04/121.46 substitution1:
% 121.04/121.46 end
% 121.04/121.46
% 121.04/121.46 subsumption: (351) {G1,W4,D2,L1,V0,M1} R(10,119) { midp( skol20, skol25,
% 121.04/121.46 skol26 ) }.
% 121.04/121.46 parent0: (130122) {G1,W4,D2,L1,V0,M1} { midp( skol20, skol25, skol26 ) }.
% 121.04/121.46 substitution0:
% 121.04/121.46 end
% 121.04/121.46 permutation0:
% 121.04/121.46 0 ==> 0
% 121.04/121.46 end
% 121.04/121.46
% 121.04/121.46 resolution: (130123) {G1,W4,D2,L1,V0,M1} { midp( skol30, skol28, skol27 )
% 121.04/121.46 }.
% 121.04/121.46 parent0[0]: (10) {G0,W8,D2,L2,V3,M2} I { ! midp( Z, Y, X ), midp( Z, X, Y )
% 121.04/121.46 }.
% 121.04/121.46 parent1[0]: (123) {G0,W4,D2,L1,V0,M1} I { midp( skol30, skol27, skol28 )
% 121.04/121.46 }.
% 121.04/121.46 substitution0:
% 121.04/121.46 X := skol28
% 121.04/121.46 Y := skol27
% 121.04/121.46 Z := skol30
% 121.04/121.46 end
% 121.04/121.46 substitution1:
% 121.04/121.46 end
% 121.04/121.46
% 121.04/121.46 subsumption: (355) {G1,W4,D2,L1,V0,M1} R(10,123) { midp( skol30, skol28,
% 121.04/121.46 skol27 ) }.
% 121.04/121.46 parent0: (130123) {G1,W4,D2,L1,V0,M1} { midp( skol30, skol28, skol27 ) }.
% 121.04/121.46 substitution0:
% 121.04/121.46 end
% 121.04/121.46 permutation0:
% 121.04/121.46 0 ==> 0
% 121.04/121.46 end
% 121.04/121.46
% 121.04/121.46 resolution: (130124) {G1,W4,D2,L1,V0,M1} { coll( skol28, skol28, skol27 )
% 121.04/121.46 }.
% 121.04/121.46 parent0[0]: (0) {G0,W8,D2,L2,V3,M2} I { ! coll( X, Y, Z ), coll( X, Z, Y )
% 121.04/121.46 }.
% 121.04/121.46 parent1[0]: (297) {G3,W4,D2,L1,V0,M1} R(198,264) { coll( skol28, skol27,
% 121.04/121.46 skol28 ) }.
% 121.04/121.46 substitution0:
% 121.04/121.46 X := skol28
% 121.04/121.46 Y := skol27
% 121.04/121.46 Z := skol28
% 121.04/121.46 end
% 121.04/121.46 substitution1:
% 121.04/121.46 end
% 121.04/121.46
% 121.04/121.46 subsumption: (372) {G4,W4,D2,L1,V0,M1} R(297,0) { coll( skol28, skol28,
% 121.04/121.46 skol27 ) }.
% 121.04/121.46 parent0: (130124) {G1,W4,D2,L1,V0,M1} { coll( skol28, skol28, skol27 ) }.
% 121.04/121.46 substitution0:
% 121.04/121.46 end
% 121.04/121.46 permutation0:
% 121.04/121.46 0 ==> 0
% 121.04/121.46 end
% 121.04/121.46
% 121.04/121.46 resolution: (130125) {G1,W10,D2,L2,V4,M2} { cyclic( Y, X, Z, T ), ! cyclic
% 121.04/121.46 ( X, Z, Y, T ) }.
% 121.04/121.46 parent0[0]: (15) {G0,W10,D2,L2,V4,M2} I { ! cyclic( X, Y, Z, T ), cyclic( Y
% 121.04/121.46 , X, Z, T ) }.
% 121.04/121.46 parent1[1]: (14) {G0,W10,D2,L2,V4,M2} I { ! cyclic( X, Y, Z, T ), cyclic( X
% 121.04/121.46 , Z, Y, T ) }.
% 121.04/121.46 substitution0:
% 121.04/121.46 X := X
% 121.04/121.46 Y := Y
% 121.04/121.46 Z := Z
% 121.04/121.46 T := T
% 121.04/121.46 end
% 121.04/121.46 substitution1:
% 121.04/121.46 X := X
% 121.04/121.46 Y := Z
% 121.04/121.46 Z := Y
% 121.04/121.46 T := T
% 121.04/121.46 end
% 121.04/121.46
% 121.04/121.46 subsumption: (387) {G1,W10,D2,L2,V4,M2} R(15,14) { cyclic( X, Y, Z, T ), !
% 121.04/121.46 cyclic( Y, Z, X, T ) }.
% 121.04/121.46 parent0: (130125) {G1,W10,D2,L2,V4,M2} { cyclic( Y, X, Z, T ), ! cyclic( X
% 121.04/121.46 , Z, Y, T ) }.
% 121.04/121.46 substitution0:
% 121.04/121.46 X := Y
% 121.04/121.46 Y := X
% 121.04/121.46 Z := Z
% 121.04/121.46 T := T
% 121.04/121.46 end
% 121.04/121.46 permutation0:
% 121.04/121.46 0 ==> 0
% 121.04/121.46 1 ==> 1
% 121.04/121.46 end
% 121.04/121.46
% 121.04/121.46 resolution: (130127) {G1,W10,D2,L2,V4,M2} { cyclic( X, Z, Y, T ), ! cyclic
% 121.04/121.46 ( Y, X, Z, T ) }.
% 121.04/121.46 parent0[0]: (14) {G0,W10,D2,L2,V4,M2} I { ! cyclic( X, Y, Z, T ), cyclic( X
% 121.04/121.46 , Z, Y, T ) }.
% 121.04/121.46 parent1[1]: (15) {G0,W10,D2,L2,V4,M2} I { ! cyclic( X, Y, Z, T ), cyclic( Y
% 121.04/121.46 , X, Z, T ) }.
% 121.04/121.46 substitution0:
% 121.04/121.46 X := X
% 121.04/121.46 Y := Y
% 121.04/121.46 Z := Z
% 121.04/121.46 T := T
% 121.04/121.46 end
% 121.04/121.46 substitution1:
% 121.04/121.46 X := Y
% 121.04/121.46 Y := X
% 121.04/121.46 Z := Z
% 121.04/121.46 T := T
% 121.04/121.46 end
% 121.04/121.46
% 121.04/121.46 subsumption: (388) {G1,W10,D2,L2,V4,M2} R(15,14) { ! cyclic( X, Y, Z, T ),
% 121.04/121.46 cyclic( Y, Z, X, T ) }.
% 121.04/121.46 parent0: (130127) {G1,W10,D2,L2,V4,M2} { cyclic( X, Z, Y, T ), ! cyclic( Y
% 121.04/121.46 , X, Z, T ) }.
% 121.04/121.46 substitution0:
% 121.04/121.46 X := Y
% 121.04/121.46 Y := X
% 121.04/121.46 Z := Z
% 121.04/121.46 T := T
% 121.04/121.46 end
% 121.04/121.46 permutation0:
% 121.04/121.46 0 ==> 1
% 121.04/121.46 1 ==> 0
% 121.04/121.46 end
% 121.04/121.46
% 121.04/121.46 resolution: (130128) {G1,W4,D2,L1,V0,M1} { coll( skol25, skol25, skol26 )
% 121.04/121.46 }.
% 121.04/121.46 parent0[0]: (0) {G0,W8,D2,L2,V3,M2} I { ! coll( X, Y, Z ), coll( X, Z, Y )
% 121.04/121.46 }.
% 121.04/121.46 parent1[0]: (319) {G3,W4,D2,L1,V0,M1} R(198,171) { coll( skol25, skol26,
% 121.04/121.46 skol25 ) }.
% 121.04/121.46 substitution0:
% 121.04/121.46 X := skol25
% 121.04/121.46 Y := skol26
% 121.04/121.46 Z := skol25
% 121.04/121.46 end
% 121.04/121.46 substitution1:
% 121.04/121.46 end
% 121.04/121.46
% 121.04/121.46 subsumption: (596) {G4,W4,D2,L1,V0,M1} R(319,0) { coll( skol25, skol25,
% 121.04/121.46 skol26 ) }.
% 121.04/121.46 parent0: (130128) {G1,W4,D2,L1,V0,M1} { coll( skol25, skol25, skol26 ) }.
% 121.04/121.46 substitution0:
% 121.04/121.46 end
% 121.04/121.46 permutation0:
% 121.04/121.46 0 ==> 0
% 121.04/121.46 end
% 121.04/121.46
% 121.04/121.46 resolution: (130130) {G1,W8,D2,L2,V3,M2} { coll( Y, X, X ), ! coll( X, Z,
% 121.04/121.46 Y ) }.
% 121.04/121.46 parent0[0]: (1) {G0,W8,D2,L2,V3,M2} I { ! coll( X, Y, Z ), coll( Y, X, Z )
% 121.04/121.46 }.
% 121.04/121.46 parent1[0]: (329) {G4,W8,D2,L2,V3,M2} F(317) { coll( X, Y, X ), ! coll( X,
% 121.04/121.46 Z, Y ) }.
% 121.04/121.46 substitution0:
% 121.04/121.46 X := X
% 121.04/121.46 Y := Y
% 121.04/121.46 Z := X
% 121.04/121.46 end
% 121.04/121.46 substitution1:
% 121.04/121.46 X := X
% 121.04/121.46 Y := Y
% 121.04/121.46 Z := Z
% 121.04/121.46 end
% 121.04/121.46
% 121.04/121.46 subsumption: (660) {G5,W8,D2,L2,V3,M2} R(329,1) { ! coll( X, Y, Z ), coll(
% 121.04/121.46 Z, X, X ) }.
% 121.04/121.46 parent0: (130130) {G1,W8,D2,L2,V3,M2} { coll( Y, X, X ), ! coll( X, Z, Y )
% 121.04/121.46 }.
% 121.04/121.46 substitution0:
% 121.04/121.46 X := X
% 121.04/121.46 Y := Z
% 121.04/121.46 Z := Y
% 121.04/121.46 end
% 121.04/121.46 permutation0:
% 121.04/121.46 0 ==> 1
% 121.04/121.46 1 ==> 0
% 121.04/121.46 end
% 121.04/121.46
% 121.04/121.46 resolution: (130131) {G1,W8,D2,L2,V3,M2} { coll( Z, X, X ), ! coll( Y, X,
% 121.04/121.46 Z ) }.
% 121.04/121.46 parent0[0]: (660) {G5,W8,D2,L2,V3,M2} R(329,1) { ! coll( X, Y, Z ), coll( Z
% 121.04/121.46 , X, X ) }.
% 121.04/121.46 parent1[1]: (1) {G0,W8,D2,L2,V3,M2} I { ! coll( X, Y, Z ), coll( Y, X, Z )
% 121.04/121.46 }.
% 121.04/121.46 substitution0:
% 121.04/121.46 X := X
% 121.04/121.46 Y := Y
% 121.04/121.46 Z := Z
% 121.04/121.46 end
% 121.04/121.46 substitution1:
% 121.04/121.46 X := Y
% 121.04/121.46 Y := X
% 121.04/121.46 Z := Z
% 121.04/121.46 end
% 121.04/121.46
% 121.04/121.46 subsumption: (668) {G6,W8,D2,L2,V3,M2} R(660,1) { coll( X, Y, Y ), ! coll(
% 121.04/121.46 Z, Y, X ) }.
% 121.04/121.46 parent0: (130131) {G1,W8,D2,L2,V3,M2} { coll( Z, X, X ), ! coll( Y, X, Z )
% 121.04/121.46 }.
% 121.04/121.46 substitution0:
% 121.04/121.46 X := Y
% 121.04/121.46 Y := Z
% 121.04/121.46 Z := X
% 121.04/121.46 end
% 121.04/121.46 permutation0:
% 121.04/121.46 0 ==> 0
% 121.04/121.46 1 ==> 1
% 121.04/121.46 end
% 121.04/121.46
% 121.04/121.46 resolution: (130133) {G6,W8,D2,L2,V3,M2} { coll( Y, X, X ), ! coll( Z, Y,
% 121.04/121.46 X ) }.
% 121.04/121.46 parent0[0]: (660) {G5,W8,D2,L2,V3,M2} R(329,1) { ! coll( X, Y, Z ), coll( Z
% 121.04/121.46 , X, X ) }.
% 121.04/121.46 parent1[0]: (668) {G6,W8,D2,L2,V3,M2} R(660,1) { coll( X, Y, Y ), ! coll( Z
% 121.04/121.46 , Y, X ) }.
% 121.04/121.46 substitution0:
% 121.04/121.46 X := X
% 121.04/121.46 Y := Y
% 121.04/121.46 Z := Y
% 121.04/121.46 end
% 121.04/121.46 substitution1:
% 121.04/121.46 X := X
% 121.04/121.46 Y := Y
% 121.04/121.46 Z := Z
% 121.04/121.46 end
% 121.04/121.46
% 121.04/121.46 subsumption: (671) {G7,W8,D2,L2,V3,M2} R(668,660) { ! coll( X, Y, Z ), coll
% 121.04/121.46 ( Y, Z, Z ) }.
% 121.04/121.46 parent0: (130133) {G6,W8,D2,L2,V3,M2} { coll( Y, X, X ), ! coll( Z, Y, X )
% 121.04/121.46 }.
% 121.04/121.46 substitution0:
% 121.04/121.46 X := Z
% 121.04/121.46 Y := Y
% 121.04/121.46 Z := X
% 121.04/121.46 end
% 121.04/121.46 permutation0:
% 121.04/121.46 0 ==> 1
% 121.04/121.46 1 ==> 0
% 121.04/121.46 end
% 121.04/121.46
% 121.04/121.46 resolution: (130134) {G1,W8,D2,L2,V3,M2} { coll( Y, Z, Z ), ! midp( X, Y,
% 121.04/121.46 Z ) }.
% 121.04/121.46 parent0[0]: (671) {G7,W8,D2,L2,V3,M2} R(668,660) { ! coll( X, Y, Z ), coll
% 121.04/121.46 ( Y, Z, Z ) }.
% 121.04/121.46 parent1[1]: (69) {G0,W8,D2,L2,V3,M2} I { ! midp( X, Y, Z ), coll( X, Y, Z )
% 121.04/121.46 }.
% 121.04/121.46 substitution0:
% 121.04/121.46 X := X
% 121.04/121.46 Y := Y
% 121.04/121.46 Z := Z
% 121.04/121.46 end
% 121.04/121.46 substitution1:
% 121.04/121.46 X := X
% 121.04/121.46 Y := Y
% 121.04/121.46 Z := Z
% 121.04/121.46 end
% 121.04/121.46
% 121.04/121.46 subsumption: (675) {G8,W8,D2,L2,V3,M2} R(671,69) { coll( X, Y, Y ), ! midp
% 121.04/121.46 ( Z, X, Y ) }.
% 121.04/121.46 parent0: (130134) {G1,W8,D2,L2,V3,M2} { coll( Y, Z, Z ), ! midp( X, Y, Z )
% 121.04/121.46 }.
% 121.04/121.46 substitution0:
% 121.04/121.46 X := Z
% 121.04/121.46 Y := X
% 121.04/121.46 Z := Y
% 121.04/121.46 end
% 121.04/121.46 permutation0:
% 121.04/121.46 0 ==> 0
% 121.04/121.46 1 ==> 1
% 121.04/121.46 end
% 121.04/121.46
% 121.04/121.46 resolution: (130135) {G5,W8,D2,L2,V3,M2} { coll( X, Y, X ), ! midp( Z, X,
% 121.04/121.46 Y ) }.
% 121.04/121.46 parent0[1]: (329) {G4,W8,D2,L2,V3,M2} F(317) { coll( X, Y, X ), ! coll( X,
% 121.04/121.46 Z, Y ) }.
% 121.04/121.46 parent1[0]: (675) {G8,W8,D2,L2,V3,M2} R(671,69) { coll( X, Y, Y ), ! midp(
% 121.04/121.46 Z, X, Y ) }.
% 121.04/121.46 substitution0:
% 121.04/121.46 X := X
% 121.04/121.46 Y := Y
% 121.04/121.46 Z := Y
% 121.04/121.46 end
% 121.04/121.46 substitution1:
% 121.04/121.46 X := X
% 121.04/121.46 Y := Y
% 121.04/121.46 Z := Z
% 121.04/121.46 end
% 121.04/121.46
% 121.04/121.46 subsumption: (676) {G9,W8,D2,L2,V3,M2} R(675,329) { ! midp( X, Y, Z ), coll
% 121.04/121.46 ( Y, Z, Y ) }.
% 121.04/121.46 parent0: (130135) {G5,W8,D2,L2,V3,M2} { coll( X, Y, X ), ! midp( Z, X, Y )
% 121.04/121.46 }.
% 121.04/121.46 substitution0:
% 121.04/121.46 X := Y
% 121.04/121.46 Y := Z
% 121.04/121.46 Z := X
% 121.04/121.46 end
% 121.04/121.46 permutation0:
% 121.04/121.46 0 ==> 1
% 121.04/121.46 1 ==> 0
% 121.04/121.46 end
% 121.04/121.46
% 121.04/121.46 resolution: (130136) {G1,W8,D2,L2,V3,M2} { coll( X, X, Y ), ! midp( Z, X,
% 121.04/121.46 Y ) }.
% 121.04/121.46 parent0[0]: (0) {G0,W8,D2,L2,V3,M2} I { ! coll( X, Y, Z ), coll( X, Z, Y )
% 121.04/121.46 }.
% 121.04/121.46 parent1[1]: (676) {G9,W8,D2,L2,V3,M2} R(675,329) { ! midp( X, Y, Z ), coll
% 121.04/121.46 ( Y, Z, Y ) }.
% 121.04/121.46 substitution0:
% 121.04/121.46 X := X
% 121.04/121.46 Y := Y
% 121.04/121.46 Z := X
% 121.04/121.46 end
% 121.04/121.46 substitution1:
% 121.04/121.46 X := Z
% 121.04/121.46 Y := X
% 121.04/121.46 Z := Y
% 121.04/121.46 end
% 121.04/121.46
% 121.04/121.46 subsumption: (695) {G10,W8,D2,L2,V3,M2} R(676,0) { ! midp( X, Y, Z ), coll
% 121.04/121.46 ( Y, Y, Z ) }.
% 121.04/121.46 parent0: (130136) {G1,W8,D2,L2,V3,M2} { coll( X, X, Y ), ! midp( Z, X, Y )
% 121.04/121.46 }.
% 121.04/121.46 substitution0:
% 121.04/121.46 X := Y
% 121.04/121.46 Y := Z
% 121.04/121.46 Z := X
% 121.04/121.46 end
% 121.04/121.46 permutation0:
% 121.04/121.46 0 ==> 1
% 121.04/121.46 1 ==> 0
% 121.04/121.46 end
% 121.04/121.46
% 121.04/121.46 resolution: (130138) {G1,W23,D2,L3,V10,M3} { ! eqangle( X, Y, Z, T, U, W,
% 121.04/121.46 V0, V1 ), eqangle( X, Y, Z, T, V2, V3, V0, V1 ), ! para( U, W, V2, V3 )
% 121.04/121.46 }.
% 121.04/121.46 parent0[1]: (21) {G0,W27,D2,L3,V12,M3} I { ! eqangle( X, Y, Z, T, V2, V3,
% 121.04/121.46 V4, V5 ), ! eqangle( V2, V3, V4, V5, U, W, V0, V1 ), eqangle( X, Y, Z, T
% 121.04/121.46 , U, W, V0, V1 ) }.
% 121.04/121.46 parent1[1]: (39) {G0,W14,D2,L2,V6,M2} I { ! para( X, Y, Z, T ), eqangle( X
% 121.04/121.46 , Y, U, W, Z, T, U, W ) }.
% 121.04/121.46 substitution0:
% 121.04/121.46 X := X
% 121.04/121.46 Y := Y
% 121.04/121.46 Z := Z
% 121.04/121.46 T := T
% 121.04/121.46 U := V2
% 121.04/121.46 W := V3
% 121.04/121.46 V0 := V0
% 121.04/121.46 V1 := V1
% 121.04/121.46 V2 := U
% 121.04/121.46 V3 := W
% 121.04/121.46 V4 := V0
% 121.04/121.46 V5 := V1
% 121.04/121.46 end
% 121.04/121.46 substitution1:
% 121.04/121.46 X := U
% 121.04/121.46 Y := W
% 121.04/121.46 Z := V2
% 121.04/121.46 T := V3
% 121.04/121.46 U := V0
% 121.04/121.46 W := V1
% 121.04/121.46 end
% 121.04/121.46
% 121.04/121.46 subsumption: (721) {G1,W23,D2,L3,V10,M3} R(39,21) { ! para( X, Y, Z, T ), !
% 121.04/121.46 eqangle( U, W, V0, V1, X, Y, V2, V3 ), eqangle( U, W, V0, V1, Z, T, V2,
% 121.04/121.46 V3 ) }.
% 121.04/121.46 parent0: (130138) {G1,W23,D2,L3,V10,M3} { ! eqangle( X, Y, Z, T, U, W, V0
% 121.04/121.46 , V1 ), eqangle( X, Y, Z, T, V2, V3, V0, V1 ), ! para( U, W, V2, V3 ) }.
% 121.04/121.46 substitution0:
% 121.04/121.46 X := U
% 121.04/121.46 Y := W
% 121.04/121.46 Z := V0
% 121.04/121.46 T := V1
% 121.04/121.46 U := X
% 121.04/121.46 W := Y
% 121.04/121.46 V0 := V2
% 121.04/121.46 V1 := V3
% 121.04/121.46 V2 := Z
% 121.04/121.46 V3 := T
% 121.04/121.46 end
% 121.04/121.46 permutation0:
% 121.04/121.46 0 ==> 1
% 121.04/121.46 1 ==> 2
% 121.04/121.46 2 ==> 0
% 121.04/121.46 end
% 121.04/121.46
% 121.04/121.46 resolution: (130139) {G1,W14,D2,L2,V6,M2} { eqangle( Z, T, X, Y, Z, T, U,
% 121.04/121.46 W ), ! para( X, Y, U, W ) }.
% 121.04/121.46 parent0[0]: (18) {G0,W18,D2,L2,V8,M2} I { ! eqangle( X, Y, Z, T, U, W, V0,
% 121.04/121.46 V1 ), eqangle( Z, T, X, Y, V0, V1, U, W ) }.
% 121.04/121.46 parent1[1]: (39) {G0,W14,D2,L2,V6,M2} I { ! para( X, Y, Z, T ), eqangle( X
% 121.04/121.46 , Y, U, W, Z, T, U, W ) }.
% 121.04/121.46 substitution0:
% 121.04/121.46 X := X
% 121.04/121.46 Y := Y
% 121.04/121.46 Z := Z
% 121.04/121.46 T := T
% 121.04/121.46 U := U
% 121.04/121.46 W := W
% 121.04/121.46 V0 := Z
% 121.04/121.46 V1 := T
% 121.04/121.46 end
% 121.04/121.46 substitution1:
% 121.04/121.46 X := X
% 121.04/121.46 Y := Y
% 121.04/121.46 Z := U
% 121.04/121.46 T := W
% 121.04/121.46 U := Z
% 121.04/121.46 W := T
% 121.04/121.46 end
% 121.04/121.46
% 121.04/121.46 subsumption: (724) {G1,W14,D2,L2,V6,M2} R(39,18) { ! para( X, Y, Z, T ),
% 121.04/121.46 eqangle( U, W, X, Y, U, W, Z, T ) }.
% 121.04/121.46 parent0: (130139) {G1,W14,D2,L2,V6,M2} { eqangle( Z, T, X, Y, Z, T, U, W )
% 121.04/121.46 , ! para( X, Y, U, W ) }.
% 121.04/121.46 substitution0:
% 121.04/121.46 X := X
% 121.04/121.46 Y := Y
% 121.04/121.46 Z := U
% 121.04/121.46 T := W
% 121.04/121.46 U := Z
% 121.04/121.46 W := T
% 121.04/121.46 end
% 121.04/121.46 permutation0:
% 121.04/121.46 0 ==> 1
% 121.04/121.46 1 ==> 0
% 121.04/121.46 end
% 121.04/121.46
% 121.04/121.46 resolution: (130140) {G1,W14,D2,L3,V3,M3} { ! coll( X, X, Z ), cyclic( Y,
% 121.04/121.46 Z, X, X ), ! para( X, Y, X, Y ) }.
% 121.04/121.46 parent0[0]: (42) {G0,W18,D2,L3,V4,M3} I { ! eqangle( Z, X, Z, Y, T, X, T, Y
% 121.04/121.46 ), ! coll( Z, T, Y ), cyclic( X, Y, Z, T ) }.
% 121.04/121.46 parent1[1]: (39) {G0,W14,D2,L2,V6,M2} I { ! para( X, Y, Z, T ), eqangle( X
% 121.04/121.46 , Y, U, W, Z, T, U, W ) }.
% 121.04/121.46 substitution0:
% 121.04/121.46 X := Y
% 121.04/121.46 Y := Z
% 121.04/121.46 Z := X
% 121.04/121.46 T := X
% 121.04/121.46 end
% 121.04/121.46 substitution1:
% 121.04/121.46 X := X
% 121.04/121.46 Y := Y
% 121.04/121.46 Z := X
% 121.04/121.46 T := Y
% 121.04/121.46 U := X
% 121.04/121.46 W := Z
% 121.04/121.46 end
% 121.04/121.46
% 121.04/121.46 subsumption: (788) {G1,W14,D2,L3,V3,M3} R(42,39) { ! coll( X, X, Y ),
% 121.04/121.46 cyclic( Z, Y, X, X ), ! para( X, Z, X, Z ) }.
% 121.04/121.46 parent0: (130140) {G1,W14,D2,L3,V3,M3} { ! coll( X, X, Z ), cyclic( Y, Z,
% 121.04/121.46 X, X ), ! para( X, Y, X, Y ) }.
% 121.04/121.46 substitution0:
% 121.04/121.46 X := X
% 121.04/121.46 Y := Z
% 121.04/121.46 Z := Y
% 121.04/121.46 end
% 121.04/121.46 permutation0:
% 121.04/121.46 0 ==> 0
% 121.04/121.46 1 ==> 1
% 121.04/121.46 2 ==> 2
% 121.04/121.46 end
% 121.04/121.46
% 121.04/121.46 resolution: (130141) {G1,W25,D2,L5,V4,M5} { ! cyclic( X, Y, Z, X ), !
% 121.04/121.46 cyclic( X, Y, Z, Y ), ! cyclic( X, Y, Z, T ), cong( X, Y, X, Y ), !
% 121.04/121.46 cyclic( X, Y, Z, T ) }.
% 121.04/121.46 parent0[3]: (43) {G0,W29,D2,L5,V6,M5} I { ! cyclic( X, Y, U, Z ), ! cyclic
% 121.04/121.46 ( X, Y, U, T ), ! cyclic( X, Y, U, W ), ! eqangle( U, X, U, Y, W, Z, W, T
% 121.04/121.46 ), cong( X, Y, Z, T ) }.
% 121.04/121.46 parent1[1]: (40) {G0,W14,D2,L2,V4,M2} I { ! cyclic( X, Y, Z, T ), eqangle(
% 121.04/121.46 Z, X, Z, Y, T, X, T, Y ) }.
% 121.04/121.46 substitution0:
% 121.04/121.46 X := X
% 121.04/121.46 Y := Y
% 121.04/121.46 Z := X
% 121.04/121.46 T := Y
% 121.04/121.46 U := Z
% 121.04/121.46 W := T
% 121.04/121.46 end
% 121.04/121.46 substitution1:
% 121.04/121.46 X := X
% 121.04/121.46 Y := Y
% 121.04/121.46 Z := Z
% 121.04/121.46 T := T
% 121.04/121.46 end
% 121.04/121.46
% 121.04/121.46 factor: (130143) {G1,W20,D2,L4,V3,M4} { ! cyclic( X, Y, Z, X ), ! cyclic(
% 121.04/121.46 X, Y, Z, Y ), cong( X, Y, X, Y ), ! cyclic( X, Y, Z, X ) }.
% 121.04/121.46 parent0[0, 2]: (130141) {G1,W25,D2,L5,V4,M5} { ! cyclic( X, Y, Z, X ), !
% 121.04/121.46 cyclic( X, Y, Z, Y ), ! cyclic( X, Y, Z, T ), cong( X, Y, X, Y ), !
% 121.04/121.46 cyclic( X, Y, Z, T ) }.
% 121.04/121.46 substitution0:
% 121.04/121.46 X := X
% 121.04/121.46 Y := Y
% 121.04/121.46 Z := Z
% 121.04/121.46 T := X
% 121.04/121.46 end
% 121.04/121.46
% 121.04/121.46 subsumption: (949) {G1,W20,D2,L4,V4,M4} R(43,40);f { ! cyclic( X, Y, Z, X )
% 121.04/121.46 , ! cyclic( X, Y, Z, Y ), ! cyclic( X, Y, Z, T ), cong( X, Y, X, Y ) }.
% 121.04/121.46 parent0: (130143) {G1,W20,D2,L4,V3,M4} { ! cyclic( X, Y, Z, X ), ! cyclic
% 121.04/121.46 ( X, Y, Z, Y ), cong( X, Y, X, Y ), ! cyclic( X, Y, Z, X ) }.
% 121.04/121.46 substitution0:
% 121.04/121.46 X := X
% 121.04/121.46 Y := Y
% 121.04/121.46 Z := Z
% 121.04/121.46 end
% 121.04/121.46 permutation0:
% 121.04/121.46 0 ==> 0
% 121.04/121.46 1 ==> 1
% 121.04/121.46 2 ==> 3
% 121.04/121.46 3 ==> 0
% 121.04/121.46 end
% 121.04/121.46
% 121.04/121.46 factor: (130148) {G1,W15,D2,L3,V3,M3} { ! cyclic( X, Y, Z, X ), ! cyclic(
% 121.04/121.46 X, Y, Z, Y ), cong( X, Y, X, Y ) }.
% 121.04/121.46 parent0[0, 2]: (949) {G1,W20,D2,L4,V4,M4} R(43,40);f { ! cyclic( X, Y, Z, X
% 121.04/121.46 ), ! cyclic( X, Y, Z, Y ), ! cyclic( X, Y, Z, T ), cong( X, Y, X, Y )
% 121.04/121.46 }.
% 121.04/121.46 substitution0:
% 121.04/121.46 X := X
% 121.04/121.46 Y := Y
% 121.04/121.46 Z := Z
% 121.04/121.46 T := X
% 121.04/121.46 end
% 121.04/121.46
% 121.04/121.46 subsumption: (981) {G2,W15,D2,L3,V3,M3} F(949) { ! cyclic( X, Y, Z, X ), !
% 121.04/121.46 cyclic( X, Y, Z, Y ), cong( X, Y, X, Y ) }.
% 121.04/121.46 parent0: (130148) {G1,W15,D2,L3,V3,M3} { ! cyclic( X, Y, Z, X ), ! cyclic
% 121.04/121.46 ( X, Y, Z, Y ), cong( X, Y, X, Y ) }.
% 121.04/121.46 substitution0:
% 121.04/121.46 X := X
% 121.04/121.46 Y := Y
% 121.04/121.46 Z := Z
% 121.04/121.46 end
% 121.04/121.46 permutation0:
% 121.04/121.46 0 ==> 0
% 121.04/121.46 1 ==> 1
% 121.04/121.46 2 ==> 2
% 121.04/121.46 end
% 121.04/121.46
% 121.04/121.46 resolution: (130151) {G1,W20,D2,L4,V6,M4} { ! perp( X, Y, Z, T ), para( X
% 121.04/121.46 , Y, U, W ), ! cong( Z, U, T, U ), ! cong( Z, W, T, W ) }.
% 121.04/121.46 parent0[1]: (8) {G0,W15,D2,L3,V6,M3} I { ! perp( X, Y, U, W ), ! perp( U, W
% 121.04/121.46 , Z, T ), para( X, Y, Z, T ) }.
% 121.04/121.46 parent1[2]: (56) {G0,W15,D2,L3,V4,M3} I { ! cong( X, Z, Y, Z ), ! cong( X,
% 121.04/121.46 T, Y, T ), perp( X, Y, Z, T ) }.
% 121.04/121.46 substitution0:
% 121.04/121.46 X := X
% 121.04/121.46 Y := Y
% 121.04/121.46 Z := U
% 121.04/121.46 T := W
% 121.04/121.46 U := Z
% 121.04/121.46 W := T
% 121.04/121.46 end
% 121.04/121.46 substitution1:
% 121.04/121.46 X := Z
% 121.04/121.46 Y := T
% 121.04/121.46 Z := U
% 121.04/121.46 T := W
% 121.04/121.46 end
% 121.04/121.46
% 121.04/121.46 subsumption: (1805) {G1,W20,D2,L4,V6,M4} R(56,8) { ! cong( X, Y, Z, Y ), !
% 121.04/121.46 cong( X, T, Z, T ), ! perp( U, W, X, Z ), para( U, W, Y, T ) }.
% 121.04/121.46 parent0: (130151) {G1,W20,D2,L4,V6,M4} { ! perp( X, Y, Z, T ), para( X, Y
% 121.04/121.46 , U, W ), ! cong( Z, U, T, U ), ! cong( Z, W, T, W ) }.
% 121.04/121.46 substitution0:
% 121.04/121.46 X := U
% 121.04/121.46 Y := W
% 121.04/121.46 Z := X
% 121.04/121.46 T := Z
% 121.04/121.46 U := Y
% 121.04/121.46 W := T
% 121.04/121.46 end
% 121.04/121.46 permutation0:
% 121.04/121.46 0 ==> 2
% 121.04/121.46 1 ==> 3
% 121.04/121.46 2 ==> 0
% 121.04/121.46 3 ==> 1
% 121.04/121.46 end
% 121.04/121.46
% 121.04/121.46 resolution: (130154) {G1,W15,D2,L3,V4,M3} { perp( Z, T, X, Y ), ! cong( X
% 121.04/121.46 , Z, Y, Z ), ! cong( X, T, Y, T ) }.
% 121.04/121.46 parent0[0]: (7) {G0,W10,D2,L2,V4,M2} I { ! perp( X, Y, Z, T ), perp( Z, T,
% 121.04/121.46 X, Y ) }.
% 121.04/121.46 parent1[2]: (56) {G0,W15,D2,L3,V4,M3} I { ! cong( X, Z, Y, Z ), ! cong( X,
% 121.04/121.46 T, Y, T ), perp( X, Y, Z, T ) }.
% 121.04/121.46 substitution0:
% 121.04/121.46 X := X
% 121.04/121.46 Y := Y
% 121.04/121.46 Z := Z
% 121.04/121.46 T := T
% 121.04/121.46 end
% 121.04/121.46 substitution1:
% 121.04/121.46 X := X
% 121.04/121.46 Y := Y
% 121.04/121.46 Z := Z
% 121.04/121.47 T := T
% 121.04/121.47 end
% 121.04/121.47
% 121.04/121.47 subsumption: (1806) {G1,W15,D2,L3,V4,M3} R(56,7) { ! cong( X, Y, Z, Y ), !
% 121.04/121.47 cong( X, T, Z, T ), perp( Y, T, X, Z ) }.
% 121.04/121.47 parent0: (130154) {G1,W15,D2,L3,V4,M3} { perp( Z, T, X, Y ), ! cong( X, Z
% 121.04/121.47 , Y, Z ), ! cong( X, T, Y, T ) }.
% 121.04/121.47 substitution0:
% 121.04/121.47 X := X
% 121.04/121.47 Y := Z
% 121.04/121.47 Z := Y
% 121.04/121.47 T := T
% 121.04/121.47 end
% 121.04/121.47 permutation0:
% 121.04/121.47 0 ==> 2
% 121.04/121.47 1 ==> 0
% 121.04/121.47 2 ==> 1
% 121.04/121.47 end
% 121.04/121.47
% 121.04/121.47 factor: (130156) {G1,W15,D2,L3,V5,M3} { ! cong( X, Y, Z, Y ), ! perp( T, U
% 121.04/121.47 , X, Z ), para( T, U, Y, Y ) }.
% 121.04/121.47 parent0[0, 1]: (1805) {G1,W20,D2,L4,V6,M4} R(56,8) { ! cong( X, Y, Z, Y ),
% 121.04/121.47 ! cong( X, T, Z, T ), ! perp( U, W, X, Z ), para( U, W, Y, T ) }.
% 121.04/121.47 substitution0:
% 121.04/121.47 X := X
% 121.04/121.47 Y := Y
% 121.04/121.47 Z := Z
% 121.04/121.47 T := Y
% 121.04/121.47 U := T
% 121.04/121.47 W := U
% 121.04/121.47 end
% 121.04/121.47
% 121.04/121.47 subsumption: (1808) {G2,W15,D2,L3,V5,M3} F(1805) { ! cong( X, Y, Z, Y ), !
% 121.04/121.47 perp( T, U, X, Z ), para( T, U, Y, Y ) }.
% 121.04/121.47 parent0: (130156) {G1,W15,D2,L3,V5,M3} { ! cong( X, Y, Z, Y ), ! perp( T,
% 121.04/121.47 U, X, Z ), para( T, U, Y, Y ) }.
% 121.04/121.47 substitution0:
% 121.04/121.47 X := X
% 121.04/121.47 Y := Y
% 121.04/121.47 Z := Z
% 121.04/121.47 T := T
% 121.04/121.47 U := U
% 121.04/121.47 end
% 121.04/121.47 permutation0:
% 121.04/121.47 0 ==> 0
% 121.04/121.47 1 ==> 1
% 121.04/121.47 2 ==> 2
% 121.04/121.47 end
% 121.04/121.47
% 121.04/121.47 resolution: (130158) {G1,W13,D2,L3,V5,M3} { ! midp( X, Y, Z ), para( Y, T
% 121.04/121.47 , Z, U ), ! midp( X, U, T ) }.
% 121.04/121.47 parent0[1]: (63) {G0,W13,D2,L3,V5,M3} I { ! midp( U, X, Y ), ! midp( U, Z,
% 121.04/121.47 T ), para( X, Z, Y, T ) }.
% 121.04/121.47 parent1[1]: (10) {G0,W8,D2,L2,V3,M2} I { ! midp( Z, Y, X ), midp( Z, X, Y )
% 121.04/121.47 }.
% 121.04/121.47 substitution0:
% 121.04/121.47 X := Y
% 121.04/121.47 Y := Z
% 121.04/121.47 Z := T
% 121.04/121.47 T := U
% 121.04/121.47 U := X
% 121.04/121.47 end
% 121.04/121.47 substitution1:
% 121.04/121.47 X := T
% 121.04/121.47 Y := U
% 121.04/121.47 Z := X
% 121.04/121.47 end
% 121.04/121.47
% 121.04/121.47 subsumption: (2039) {G1,W13,D2,L3,V5,M3} R(63,10) { ! midp( X, Y, Z ), para
% 121.04/121.47 ( Y, T, Z, U ), ! midp( X, U, T ) }.
% 121.04/121.47 parent0: (130158) {G1,W13,D2,L3,V5,M3} { ! midp( X, Y, Z ), para( Y, T, Z
% 121.04/121.47 , U ), ! midp( X, U, T ) }.
% 121.04/121.47 substitution0:
% 121.04/121.47 X := X
% 121.04/121.47 Y := Y
% 121.04/121.47 Z := Z
% 121.04/121.47 T := T
% 121.04/121.47 U := U
% 121.04/121.47 end
% 121.04/121.47 permutation0:
% 121.04/121.47 0 ==> 0
% 121.04/121.47 1 ==> 1
% 121.04/121.47 2 ==> 2
% 121.04/121.47 end
% 121.04/121.47
% 121.04/121.47 factor: (130161) {G1,W9,D2,L2,V3,M2} { ! midp( X, Y, Z ), para( Y, Z, Z, Y
% 121.04/121.47 ) }.
% 121.04/121.47 parent0[0, 2]: (2039) {G1,W13,D2,L3,V5,M3} R(63,10) { ! midp( X, Y, Z ),
% 121.04/121.47 para( Y, T, Z, U ), ! midp( X, U, T ) }.
% 121.04/121.47 substitution0:
% 121.04/121.47 X := X
% 121.04/121.47 Y := Y
% 121.04/121.47 Z := Z
% 121.04/121.47 T := Z
% 121.04/121.47 U := Y
% 121.04/121.47 end
% 121.04/121.47
% 121.04/121.47 subsumption: (2059) {G2,W9,D2,L2,V3,M2} F(2039) { ! midp( X, Y, Z ), para(
% 121.04/121.47 Y, Z, Z, Y ) }.
% 121.04/121.47 parent0: (130161) {G1,W9,D2,L2,V3,M2} { ! midp( X, Y, Z ), para( Y, Z, Z,
% 121.04/121.47 Y ) }.
% 121.04/121.47 substitution0:
% 121.04/121.47 X := X
% 121.04/121.47 Y := Y
% 121.04/121.47 Z := Z
% 121.04/121.47 end
% 121.04/121.47 permutation0:
% 121.04/121.47 0 ==> 0
% 121.04/121.47 1 ==> 1
% 121.04/121.47 end
% 121.04/121.47
% 121.04/121.47 resolution: (130162) {G2,W14,D3,L3,V1,M3} { ! coll( skol28, skol28, skol27
% 121.04/121.47 ), ! coll( skol27, skol28, skol27 ), midp( skol7( skol28, X ), skol28, X
% 121.04/121.47 ) }.
% 121.04/121.47 parent0[0]: (148) {G1,W18,D3,L4,V4,M4} F(88) { ! midp( X, Y, Z ), ! coll( Y
% 121.04/121.47 , Y, Z ), ! coll( Z, Y, Z ), midp( skol7( Y, T ), Y, T ) }.
% 121.04/121.47 parent1[0]: (355) {G1,W4,D2,L1,V0,M1} R(10,123) { midp( skol30, skol28,
% 121.04/121.47 skol27 ) }.
% 121.04/121.47 substitution0:
% 121.04/121.47 X := skol30
% 121.04/121.47 Y := skol28
% 121.04/121.47 Z := skol27
% 121.04/121.47 T := X
% 121.04/121.47 end
% 121.04/121.47 substitution1:
% 121.04/121.47 end
% 121.04/121.47
% 121.04/121.47 resolution: (130163) {G3,W10,D3,L2,V1,M2} { ! coll( skol27, skol28, skol27
% 121.04/121.47 ), midp( skol7( skol28, X ), skol28, X ) }.
% 121.04/121.47 parent0[0]: (130162) {G2,W14,D3,L3,V1,M3} { ! coll( skol28, skol28, skol27
% 121.04/121.47 ), ! coll( skol27, skol28, skol27 ), midp( skol7( skol28, X ), skol28, X
% 121.04/121.47 ) }.
% 121.04/121.47 parent1[0]: (372) {G4,W4,D2,L1,V0,M1} R(297,0) { coll( skol28, skol28,
% 121.04/121.47 skol27 ) }.
% 121.04/121.47 substitution0:
% 121.04/121.47 X := X
% 121.04/121.47 end
% 121.04/121.47 substitution1:
% 121.04/121.47 end
% 121.04/121.47
% 121.04/121.47 subsumption: (8579) {G5,W10,D3,L2,V1,M2} R(148,355);r(372) { ! coll( skol27
% 121.04/121.47 , skol28, skol27 ), midp( skol7( skol28, X ), skol28, X ) }.
% 121.04/121.47 parent0: (130163) {G3,W10,D3,L2,V1,M2} { ! coll( skol27, skol28, skol27 )
% 121.04/121.47 , midp( skol7( skol28, X ), skol28, X ) }.
% 121.04/121.47 substitution0:
% 121.04/121.47 X := X
% 121.04/121.47 end
% 121.04/121.47 permutation0:
% 121.04/121.47 0 ==> 0
% 121.04/121.47 1 ==> 1
% 121.04/121.47 end
% 121.04/121.47
% 121.04/121.47 resolution: (130164) {G2,W14,D3,L3,V1,M3} { ! coll( skol25, skol25, skol26
% 121.04/121.47 ), ! coll( skol26, skol25, skol26 ), midp( skol7( skol25, X ), skol25, X
% 121.04/121.47 ) }.
% 121.04/121.47 parent0[0]: (148) {G1,W18,D3,L4,V4,M4} F(88) { ! midp( X, Y, Z ), ! coll( Y
% 121.04/121.47 , Y, Z ), ! coll( Z, Y, Z ), midp( skol7( Y, T ), Y, T ) }.
% 121.04/121.47 parent1[0]: (351) {G1,W4,D2,L1,V0,M1} R(10,119) { midp( skol20, skol25,
% 121.04/121.47 skol26 ) }.
% 121.04/121.47 substitution0:
% 121.04/121.47 X := skol20
% 121.04/121.47 Y := skol25
% 121.04/121.47 Z := skol26
% 121.04/121.47 T := X
% 121.04/121.47 end
% 121.04/121.47 substitution1:
% 121.04/121.47 end
% 121.04/121.47
% 121.04/121.47 resolution: (130165) {G3,W10,D3,L2,V1,M2} { ! coll( skol26, skol25, skol26
% 121.04/121.47 ), midp( skol7( skol25, X ), skol25, X ) }.
% 121.04/121.47 parent0[0]: (130164) {G2,W14,D3,L3,V1,M3} { ! coll( skol25, skol25, skol26
% 121.04/121.47 ), ! coll( skol26, skol25, skol26 ), midp( skol7( skol25, X ), skol25, X
% 121.04/121.47 ) }.
% 121.04/121.47 parent1[0]: (596) {G4,W4,D2,L1,V0,M1} R(319,0) { coll( skol25, skol25,
% 121.04/121.47 skol26 ) }.
% 121.04/121.47 substitution0:
% 121.04/121.47 X := X
% 121.04/121.47 end
% 121.04/121.47 substitution1:
% 121.04/121.47 end
% 121.04/121.47
% 121.04/121.47 subsumption: (8583) {G5,W10,D3,L2,V1,M2} R(148,351);r(596) { ! coll( skol26
% 121.04/121.47 , skol25, skol26 ), midp( skol7( skol25, X ), skol25, X ) }.
% 121.04/121.47 parent0: (130165) {G3,W10,D3,L2,V1,M2} { ! coll( skol26, skol25, skol26 )
% 121.04/121.47 , midp( skol7( skol25, X ), skol25, X ) }.
% 121.04/121.47 substitution0:
% 121.04/121.47 X := X
% 121.04/121.47 end
% 121.04/121.47 permutation0:
% 121.04/121.47 0 ==> 0
% 121.04/121.47 1 ==> 1
% 121.04/121.47 end
% 121.04/121.47
% 121.04/121.47 resolution: (130166) {G6,W6,D3,L1,V1,M1} { midp( skol7( skol28, X ),
% 121.04/121.47 skol28, X ) }.
% 121.04/121.47 parent0[0]: (8579) {G5,W10,D3,L2,V1,M2} R(148,355);r(372) { ! coll( skol27
% 121.04/121.47 , skol28, skol27 ), midp( skol7( skol28, X ), skol28, X ) }.
% 121.04/121.47 parent1[0]: (294) {G6,W4,D2,L1,V0,M1} R(198,276) { coll( skol27, skol28,
% 121.04/121.47 skol27 ) }.
% 121.04/121.47 substitution0:
% 121.04/121.47 X := X
% 121.04/121.47 end
% 121.04/121.47 substitution1:
% 121.04/121.47 end
% 121.04/121.47
% 121.04/121.47 subsumption: (20086) {G7,W6,D3,L1,V1,M1} S(8579);r(294) { midp( skol7(
% 121.04/121.47 skol28, X ), skol28, X ) }.
% 121.04/121.47 parent0: (130166) {G6,W6,D3,L1,V1,M1} { midp( skol7( skol28, X ), skol28,
% 121.04/121.47 X ) }.
% 121.04/121.47 substitution0:
% 121.04/121.47 X := X
% 121.04/121.47 end
% 121.04/121.47 permutation0:
% 121.04/121.47 0 ==> 0
% 121.04/121.47 end
% 121.04/121.47
% 121.04/121.47 resolution: (130167) {G5,W6,D3,L1,V1,M1} { midp( skol7( skol25, X ),
% 121.04/121.47 skol25, X ) }.
% 121.04/121.47 parent0[0]: (8583) {G5,W10,D3,L2,V1,M2} R(148,351);r(596) { ! coll( skol26
% 121.04/121.47 , skol25, skol26 ), midp( skol7( skol25, X ), skol25, X ) }.
% 121.04/121.47 parent1[0]: (322) {G4,W4,D2,L1,V0,M1} R(198,170) { coll( skol26, skol25,
% 121.04/121.47 skol26 ) }.
% 121.04/121.47 substitution0:
% 121.04/121.47 X := X
% 121.04/121.47 end
% 121.04/121.47 substitution1:
% 121.04/121.47 end
% 121.04/121.47
% 121.04/121.47 subsumption: (20089) {G6,W6,D3,L1,V1,M1} S(8583);r(322) { midp( skol7(
% 121.04/121.47 skol25, X ), skol25, X ) }.
% 121.04/121.47 parent0: (130167) {G5,W6,D3,L1,V1,M1} { midp( skol7( skol25, X ), skol25,
% 121.04/121.47 X ) }.
% 121.04/121.47 substitution0:
% 121.04/121.47 X := X
% 121.04/121.47 end
% 121.04/121.47 permutation0:
% 121.04/121.47 0 ==> 0
% 121.04/121.47 end
% 121.04/121.47
% 121.04/121.47 resolution: (130168) {G8,W4,D2,L1,V1,M1} { coll( skol28, skol28, X ) }.
% 121.04/121.47 parent0[0]: (695) {G10,W8,D2,L2,V3,M2} R(676,0) { ! midp( X, Y, Z ), coll(
% 121.04/121.47 Y, Y, Z ) }.
% 121.04/121.47 parent1[0]: (20086) {G7,W6,D3,L1,V1,M1} S(8579);r(294) { midp( skol7(
% 121.04/121.47 skol28, X ), skol28, X ) }.
% 121.04/121.47 substitution0:
% 121.04/121.47 X := skol7( skol28, X )
% 121.04/121.47 Y := skol28
% 121.04/121.47 Z := X
% 121.04/121.47 end
% 121.04/121.47 substitution1:
% 121.04/121.47 X := X
% 121.04/121.47 end
% 121.04/121.47
% 121.04/121.47 subsumption: (20218) {G11,W4,D2,L1,V1,M1} R(20086,695) { coll( skol28,
% 121.04/121.47 skol28, X ) }.
% 121.04/121.47 parent0: (130168) {G8,W4,D2,L1,V1,M1} { coll( skol28, skol28, X ) }.
% 121.04/121.47 substitution0:
% 121.04/121.47 X := X
% 121.04/121.47 end
% 121.04/121.47 permutation0:
% 121.04/121.47 0 ==> 0
% 121.04/121.47 end
% 121.04/121.47
% 121.04/121.47 resolution: (130169) {G2,W8,D2,L2,V2,M2} { ! coll( skol28, skol28, Y ),
% 121.04/121.47 coll( X, skol28, Y ) }.
% 121.04/121.47 parent0[0]: (197) {G1,W12,D2,L3,V4,M3} R(2,0) { ! coll( X, Y, Z ), ! coll(
% 121.04/121.47 X, Y, T ), coll( Z, X, T ) }.
% 121.04/121.47 parent1[0]: (20218) {G11,W4,D2,L1,V1,M1} R(20086,695) { coll( skol28,
% 121.04/121.47 skol28, X ) }.
% 121.04/121.47 substitution0:
% 121.04/121.47 X := skol28
% 121.04/121.47 Y := skol28
% 121.04/121.47 Z := X
% 121.04/121.47 T := Y
% 121.04/121.47 end
% 121.04/121.47 substitution1:
% 121.04/121.47 X := X
% 121.04/121.47 end
% 121.04/121.47
% 121.04/121.47 resolution: (130171) {G3,W4,D2,L1,V2,M1} { coll( Y, skol28, X ) }.
% 121.04/121.47 parent0[0]: (130169) {G2,W8,D2,L2,V2,M2} { ! coll( skol28, skol28, Y ),
% 121.04/121.47 coll( X, skol28, Y ) }.
% 121.04/121.47 parent1[0]: (20218) {G11,W4,D2,L1,V1,M1} R(20086,695) { coll( skol28,
% 121.04/121.47 skol28, X ) }.
% 121.04/121.47 substitution0:
% 121.04/121.47 X := Y
% 121.04/121.47 Y := X
% 121.04/121.47 end
% 121.04/121.47 substitution1:
% 121.04/121.47 X := X
% 121.04/121.47 end
% 121.04/121.47
% 121.04/121.47 subsumption: (20376) {G12,W4,D2,L1,V2,M1} R(20218,197);r(20218) { coll( Y,
% 121.04/121.47 skol28, X ) }.
% 121.04/121.47 parent0: (130171) {G3,W4,D2,L1,V2,M1} { coll( Y, skol28, X ) }.
% 121.04/121.47 substitution0:
% 121.04/121.47 X := X
% 121.04/121.47 Y := Y
% 121.04/121.47 end
% 121.04/121.47 permutation0:
% 121.04/121.47 0 ==> 0
% 121.04/121.47 end
% 121.04/121.47
% 121.04/121.47 resolution: (130172) {G2,W8,D2,L2,V3,M2} { ! coll( X, skol28, Z ), coll( Y
% 121.04/121.47 , X, Z ) }.
% 121.04/121.47 parent0[0]: (197) {G1,W12,D2,L3,V4,M3} R(2,0) { ! coll( X, Y, Z ), ! coll(
% 121.04/121.47 X, Y, T ), coll( Z, X, T ) }.
% 121.04/121.47 parent1[0]: (20376) {G12,W4,D2,L1,V2,M1} R(20218,197);r(20218) { coll( Y,
% 121.04/121.47 skol28, X ) }.
% 121.04/121.47 substitution0:
% 121.04/121.47 X := X
% 121.04/121.47 Y := skol28
% 121.04/121.47 Z := Y
% 121.04/121.47 T := Z
% 121.04/121.47 end
% 121.04/121.47 substitution1:
% 121.04/121.47 X := Y
% 121.04/121.47 Y := X
% 121.04/121.47 end
% 121.04/121.47
% 121.04/121.47 resolution: (130174) {G3,W4,D2,L1,V3,M1} { coll( Z, X, Y ) }.
% 121.04/121.47 parent0[0]: (130172) {G2,W8,D2,L2,V3,M2} { ! coll( X, skol28, Z ), coll( Y
% 121.04/121.47 , X, Z ) }.
% 121.04/121.47 parent1[0]: (20376) {G12,W4,D2,L1,V2,M1} R(20218,197);r(20218) { coll( Y,
% 121.04/121.47 skol28, X ) }.
% 121.04/121.47 substitution0:
% 121.04/121.47 X := X
% 121.04/121.47 Y := Z
% 121.04/121.47 Z := Y
% 121.04/121.47 end
% 121.04/121.47 substitution1:
% 121.04/121.47 X := Y
% 121.04/121.47 Y := X
% 121.04/121.47 end
% 121.04/121.47
% 121.04/121.47 subsumption: (20395) {G13,W4,D2,L1,V3,M1} R(20376,197);r(20376) { coll( Z,
% 121.04/121.47 X, Y ) }.
% 121.04/121.47 parent0: (130174) {G3,W4,D2,L1,V3,M1} { coll( Z, X, Y ) }.
% 121.04/121.47 substitution0:
% 121.04/121.47 X := X
% 121.04/121.47 Y := Y
% 121.04/121.47 Z := Z
% 121.04/121.47 end
% 121.04/121.47 permutation0:
% 121.04/121.47 0 ==> 0
% 121.04/121.47 end
% 121.04/121.47
% 121.04/121.47 resolution: (130175) {G1,W6,D3,L1,V1,M1} { midp( skol7( skol25, X ), X,
% 121.04/121.47 skol25 ) }.
% 121.04/121.47 parent0[0]: (10) {G0,W8,D2,L2,V3,M2} I { ! midp( Z, Y, X ), midp( Z, X, Y )
% 121.04/121.47 }.
% 121.04/121.47 parent1[0]: (20089) {G6,W6,D3,L1,V1,M1} S(8583);r(322) { midp( skol7(
% 121.04/121.47 skol25, X ), skol25, X ) }.
% 121.04/121.47 substitution0:
% 121.04/121.47 X := X
% 121.04/121.47 Y := skol25
% 121.04/121.47 Z := skol7( skol25, X )
% 121.04/121.47 end
% 121.04/121.47 substitution1:
% 121.04/121.47 X := X
% 121.04/121.47 end
% 121.04/121.47
% 121.04/121.47 subsumption: (20770) {G7,W6,D3,L1,V1,M1} R(20089,10) { midp( skol7( skol25
% 121.04/121.47 , X ), X, skol25 ) }.
% 121.04/121.47 parent0: (130175) {G1,W6,D3,L1,V1,M1} { midp( skol7( skol25, X ), X,
% 121.04/121.47 skol25 ) }.
% 121.04/121.47 substitution0:
% 121.04/121.47 X := X
% 121.04/121.47 end
% 121.04/121.47 permutation0:
% 121.04/121.47 0 ==> 0
% 121.04/121.47 end
% 121.04/121.47
% 121.04/121.47 resolution: (130176) {G2,W14,D3,L3,V2,M3} { ! coll( X, X, skol25 ), ! coll
% 121.04/121.47 ( skol25, X, skol25 ), midp( skol7( X, Y ), X, Y ) }.
% 121.04/121.47 parent0[0]: (148) {G1,W18,D3,L4,V4,M4} F(88) { ! midp( X, Y, Z ), ! coll( Y
% 121.04/121.47 , Y, Z ), ! coll( Z, Y, Z ), midp( skol7( Y, T ), Y, T ) }.
% 121.04/121.47 parent1[0]: (20770) {G7,W6,D3,L1,V1,M1} R(20089,10) { midp( skol7( skol25,
% 121.04/121.47 X ), X, skol25 ) }.
% 121.04/121.47 substitution0:
% 121.04/121.47 X := skol7( skol25, X )
% 121.04/121.47 Y := X
% 121.04/121.47 Z := skol25
% 121.04/121.47 T := Y
% 121.04/121.47 end
% 121.04/121.47 substitution1:
% 121.04/121.47 X := X
% 121.04/121.47 end
% 121.04/121.47
% 121.04/121.47 resolution: (130179) {G3,W10,D3,L2,V2,M2} { ! coll( skol25, X, skol25 ),
% 121.04/121.47 midp( skol7( X, Y ), X, Y ) }.
% 121.04/121.47 parent0[0]: (130176) {G2,W14,D3,L3,V2,M3} { ! coll( X, X, skol25 ), ! coll
% 121.04/121.47 ( skol25, X, skol25 ), midp( skol7( X, Y ), X, Y ) }.
% 121.04/121.47 parent1[0]: (20395) {G13,W4,D2,L1,V3,M1} R(20376,197);r(20376) { coll( Z, X
% 121.04/121.47 , Y ) }.
% 121.04/121.47 substitution0:
% 121.04/121.47 X := X
% 121.04/121.47 Y := Y
% 121.04/121.47 end
% 121.04/121.47 substitution1:
% 121.04/121.47 X := X
% 121.04/121.47 Y := skol25
% 121.04/121.47 Z := X
% 121.04/121.47 end
% 121.04/121.47
% 121.04/121.47 subsumption: (20814) {G14,W10,D3,L2,V2,M2} R(20770,148);r(20395) { ! coll(
% 121.04/121.47 skol25, X, skol25 ), midp( skol7( X, Y ), X, Y ) }.
% 121.04/121.47 parent0: (130179) {G3,W10,D3,L2,V2,M2} { ! coll( skol25, X, skol25 ), midp
% 121.04/121.47 ( skol7( X, Y ), X, Y ) }.
% 121.04/121.47 substitution0:
% 121.04/121.47 X := X
% 121.04/121.47 Y := Y
% 121.04/121.47 end
% 121.04/121.47 permutation0:
% 121.04/121.47 0 ==> 0
% 121.04/121.47 1 ==> 1
% 121.04/121.47 end
% 121.04/121.47
% 121.04/121.47 resolution: (130181) {G2,W10,D2,L2,V3,M2} { cyclic( Z, Y, X, X ), ! para(
% 121.04/121.47 X, Z, X, Z ) }.
% 121.04/121.47 parent0[0]: (788) {G1,W14,D2,L3,V3,M3} R(42,39) { ! coll( X, X, Y ), cyclic
% 121.04/121.47 ( Z, Y, X, X ), ! para( X, Z, X, Z ) }.
% 121.04/121.47 parent1[0]: (20395) {G13,W4,D2,L1,V3,M1} R(20376,197);r(20376) { coll( Z, X
% 121.04/121.47 , Y ) }.
% 121.04/121.47 substitution0:
% 121.04/121.47 X := X
% 121.04/121.47 Y := Y
% 121.04/121.47 Z := Z
% 121.04/121.47 end
% 121.04/121.47 substitution1:
% 121.04/121.47 X := X
% 121.04/121.47 Y := Y
% 121.04/121.47 Z := X
% 121.04/121.47 end
% 121.04/121.47
% 121.04/121.47 subsumption: (32221) {G14,W10,D2,L2,V3,M2} S(788);r(20395) { cyclic( Z, Y,
% 121.04/121.47 X, X ), ! para( X, Z, X, Z ) }.
% 121.04/121.47 parent0: (130181) {G2,W10,D2,L2,V3,M2} { cyclic( Z, Y, X, X ), ! para( X,
% 121.04/121.47 Z, X, Z ) }.
% 121.04/121.47 substitution0:
% 121.04/121.47 X := X
% 121.04/121.47 Y := Y
% 121.04/121.47 Z := Z
% 121.04/121.47 end
% 121.04/121.47 permutation0:
% 121.04/121.47 0 ==> 0
% 121.04/121.47 1 ==> 1
% 121.04/121.47 end
% 121.04/121.47
% 121.04/121.47 resolution: (130182) {G14,W6,D3,L1,V2,M1} { midp( skol7( X, Y ), X, Y )
% 121.04/121.47 }.
% 121.04/121.47 parent0[0]: (20814) {G14,W10,D3,L2,V2,M2} R(20770,148);r(20395) { ! coll(
% 121.04/121.47 skol25, X, skol25 ), midp( skol7( X, Y ), X, Y ) }.
% 121.04/121.47 parent1[0]: (20395) {G13,W4,D2,L1,V3,M1} R(20376,197);r(20376) { coll( Z, X
% 121.04/121.47 , Y ) }.
% 121.04/121.47 substitution0:
% 121.04/121.47 X := X
% 121.04/121.47 Y := Y
% 121.04/121.47 end
% 121.04/121.47 substitution1:
% 121.04/121.47 X := X
% 121.04/121.47 Y := skol25
% 121.04/121.47 Z := skol25
% 121.04/121.47 end
% 121.04/121.47
% 121.04/121.47 subsumption: (40161) {G15,W6,D3,L1,V2,M1} S(20814);r(20395) { midp( skol7(
% 121.04/121.47 X, Y ), X, Y ) }.
% 121.04/121.47 parent0: (130182) {G14,W6,D3,L1,V2,M1} { midp( skol7( X, Y ), X, Y ) }.
% 121.04/121.47 substitution0:
% 121.04/121.47 X := X
% 121.04/121.47 Y := Y
% 121.04/121.47 end
% 121.04/121.47 permutation0:
% 121.04/121.47 0 ==> 0
% 121.04/121.47 end
% 121.04/121.47
% 121.04/121.47 resolution: (130183) {G1,W6,D3,L1,V2,M1} { midp( skol7( X, Y ), Y, X ) }.
% 121.04/121.47 parent0[0]: (10) {G0,W8,D2,L2,V3,M2} I { ! midp( Z, Y, X ), midp( Z, X, Y )
% 121.04/121.47 }.
% 121.04/121.47 parent1[0]: (40161) {G15,W6,D3,L1,V2,M1} S(20814);r(20395) { midp( skol7( X
% 121.04/121.47 , Y ), X, Y ) }.
% 121.04/121.47 substitution0:
% 121.04/121.47 X := Y
% 121.04/121.47 Y := X
% 121.04/121.47 Z := skol7( X, Y )
% 121.04/121.47 end
% 121.04/121.47 substitution1:
% 121.04/121.47 X := X
% 121.04/121.47 Y := Y
% 121.04/121.47 end
% 121.04/121.47
% 121.04/121.47 subsumption: (42257) {G16,W6,D3,L1,V2,M1} R(40161,10) { midp( skol7( X, Y )
% 121.04/121.47 , Y, X ) }.
% 121.04/121.47 parent0: (130183) {G1,W6,D3,L1,V2,M1} { midp( skol7( X, Y ), Y, X ) }.
% 121.04/121.47 substitution0:
% 121.04/121.47 X := X
% 121.04/121.47 Y := Y
% 121.04/121.47 end
% 121.04/121.47 permutation0:
% 121.04/121.47 0 ==> 0
% 121.04/121.47 end
% 121.04/121.47
% 121.04/121.47 resolution: (130184) {G3,W5,D2,L1,V2,M1} { para( Y, X, X, Y ) }.
% 121.04/121.47 parent0[0]: (2059) {G2,W9,D2,L2,V3,M2} F(2039) { ! midp( X, Y, Z ), para( Y
% 121.04/121.47 , Z, Z, Y ) }.
% 121.04/121.47 parent1[0]: (42257) {G16,W6,D3,L1,V2,M1} R(40161,10) { midp( skol7( X, Y )
% 121.04/121.47 , Y, X ) }.
% 121.04/121.47 substitution0:
% 121.04/121.47 X := skol7( X, Y )
% 121.04/121.47 Y := Y
% 121.04/121.47 Z := X
% 121.04/121.47 end
% 121.04/121.47 substitution1:
% 121.04/121.47 X := X
% 121.04/121.47 Y := Y
% 121.04/121.47 end
% 121.04/121.47
% 121.04/121.47 subsumption: (109271) {G17,W5,D2,L1,V2,M1} R(2059,42257) { para( X, Y, Y, X
% 121.04/121.47 ) }.
% 121.04/121.47 parent0: (130184) {G3,W5,D2,L1,V2,M1} { para( Y, X, X, Y ) }.
% 121.04/121.47 substitution0:
% 121.04/121.47 X := Y
% 121.04/121.47 Y := X
% 121.04/121.47 end
% 121.04/121.47 permutation0:
% 121.04/121.47 0 ==> 0
% 121.04/121.47 end
% 121.04/121.47
% 121.04/121.47 resolution: (130185) {G2,W5,D2,L1,V2,M1} { para( Y, X, Y, X ) }.
% 121.04/121.47 parent0[0]: (226) {G1,W10,D2,L2,V4,M2} R(4,3) { ! para( X, Y, Z, T ), para
% 121.04/121.47 ( Z, T, Y, X ) }.
% 121.04/121.47 parent1[0]: (109271) {G17,W5,D2,L1,V2,M1} R(2059,42257) { para( X, Y, Y, X
% 121.04/121.47 ) }.
% 121.04/121.47 substitution0:
% 121.04/121.47 X := X
% 121.04/121.47 Y := Y
% 121.04/121.47 Z := Y
% 121.04/121.47 T := X
% 121.04/121.47 end
% 121.04/121.47 substitution1:
% 121.04/121.47 X := X
% 121.04/121.47 Y := Y
% 121.04/121.47 end
% 121.04/121.47
% 121.04/121.47 subsumption: (109284) {G18,W5,D2,L1,V2,M1} R(109271,226) { para( X, Y, X, Y
% 121.04/121.47 ) }.
% 121.04/121.47 parent0: (130185) {G2,W5,D2,L1,V2,M1} { para( Y, X, Y, X ) }.
% 121.04/121.47 substitution0:
% 121.04/121.47 X := Y
% 121.04/121.47 Y := X
% 121.04/121.47 end
% 121.04/121.47 permutation0:
% 121.04/121.47 0 ==> 0
% 121.04/121.47 end
% 121.04/121.47
% 121.04/121.47 resolution: (130186) {G15,W5,D2,L1,V3,M1} { cyclic( X, Y, Z, Z ) }.
% 121.04/121.47 parent0[1]: (32221) {G14,W10,D2,L2,V3,M2} S(788);r(20395) { cyclic( Z, Y, X
% 121.04/121.47 , X ), ! para( X, Z, X, Z ) }.
% 121.04/121.47 parent1[0]: (109284) {G18,W5,D2,L1,V2,M1} R(109271,226) { para( X, Y, X, Y
% 121.04/121.47 ) }.
% 121.04/121.47 substitution0:
% 121.04/121.47 X := Z
% 121.04/121.47 Y := Y
% 121.04/121.47 Z := X
% 121.04/121.47 end
% 121.04/121.47 substitution1:
% 121.04/121.47 X := Z
% 121.04/121.47 Y := X
% 121.04/121.47 end
% 121.04/121.47
% 121.04/121.47 subsumption: (120779) {G19,W5,D2,L1,V3,M1} S(32221);r(109284) { cyclic( Z,
% 121.04/121.47 Y, X, X ) }.
% 121.04/121.47 parent0: (130186) {G15,W5,D2,L1,V3,M1} { cyclic( X, Y, Z, Z ) }.
% 121.04/121.47 substitution0:
% 121.04/121.47 X := Z
% 121.04/121.47 Y := Y
% 121.04/121.47 Z := X
% 121.04/121.47 end
% 121.04/121.47 permutation0:
% 121.04/121.47 0 ==> 0
% 121.04/121.47 end
% 121.04/121.47
% 121.04/121.47 resolution: (130187) {G2,W5,D2,L1,V3,M1} { cyclic( Y, Z, X, Z ) }.
% 121.04/121.47 parent0[0]: (388) {G1,W10,D2,L2,V4,M2} R(15,14) { ! cyclic( X, Y, Z, T ),
% 121.04/121.47 cyclic( Y, Z, X, T ) }.
% 121.04/121.47 parent1[0]: (120779) {G19,W5,D2,L1,V3,M1} S(32221);r(109284) { cyclic( Z, Y
% 121.04/121.47 , X, X ) }.
% 121.04/121.47 substitution0:
% 121.04/121.47 X := X
% 121.04/121.47 Y := Y
% 121.04/121.47 Z := Z
% 121.04/121.47 T := Z
% 121.04/121.47 end
% 121.04/121.47 substitution1:
% 121.04/121.47 X := Z
% 121.04/121.47 Y := Y
% 121.04/121.47 Z := X
% 121.04/121.47 end
% 121.04/121.47
% 121.04/121.47 subsumption: (128212) {G20,W5,D2,L1,V3,M1} R(120779,388) { cyclic( X, Y, Z
% 121.04/121.47 , Y ) }.
% 121.04/121.47 parent0: (130187) {G2,W5,D2,L1,V3,M1} { cyclic( Y, Z, X, Z ) }.
% 121.04/121.47 substitution0:
% 121.04/121.47 X := Z
% 121.04/121.47 Y := X
% 121.04/121.47 Z := Y
% 121.04/121.47 end
% 121.04/121.47 permutation0:
% 121.04/121.47 0 ==> 0
% 121.04/121.47 end
% 121.04/121.47
% 121.04/121.47 resolution: (130188) {G2,W5,D2,L1,V3,M1} { cyclic( X, Y, Z, X ) }.
% 121.04/121.47 parent0[1]: (387) {G1,W10,D2,L2,V4,M2} R(15,14) { cyclic( X, Y, Z, T ), !
% 121.04/121.47 cyclic( Y, Z, X, T ) }.
% 121.04/121.47 parent1[0]: (120779) {G19,W5,D2,L1,V3,M1} S(32221);r(109284) { cyclic( Z, Y
% 121.04/121.47 , X, X ) }.
% 121.04/121.47 substitution0:
% 121.04/121.47 X := X
% 121.04/121.47 Y := Y
% 121.04/121.47 Z := Z
% 121.04/121.47 T := X
% 121.04/121.47 end
% 121.04/121.47 substitution1:
% 121.04/121.47 X := X
% 121.04/121.47 Y := Z
% 121.04/121.47 Z := Y
% 121.04/121.47 end
% 121.04/121.47
% 121.04/121.47 subsumption: (128213) {G20,W5,D2,L1,V3,M1} R(120779,387) { cyclic( X, Y, Z
% 121.04/121.47 , X ) }.
% 121.04/121.47 parent0: (130188) {G2,W5,D2,L1,V3,M1} { cyclic( X, Y, Z, X ) }.
% 121.04/121.47 substitution0:
% 121.04/121.47 X := X
% 121.04/121.47 Y := Y
% 121.04/121.47 Z := Z
% 121.04/121.47 end
% 121.04/121.47 permutation0:
% 121.04/121.47 0 ==> 0
% 121.04/121.47 end
% 121.04/121.47
% 121.04/121.47 resolution: (130190) {G3,W10,D2,L2,V3,M2} { ! cyclic( X, Y, Z, X ), cong(
% 121.04/121.47 X, Y, X, Y ) }.
% 121.04/121.47 parent0[1]: (981) {G2,W15,D2,L3,V3,M3} F(949) { ! cyclic( X, Y, Z, X ), !
% 121.04/121.47 cyclic( X, Y, Z, Y ), cong( X, Y, X, Y ) }.
% 121.04/121.47 parent1[0]: (128212) {G20,W5,D2,L1,V3,M1} R(120779,388) { cyclic( X, Y, Z,
% 121.04/121.47 Y ) }.
% 121.04/121.47 substitution0:
% 121.04/121.47 X := X
% 121.04/121.47 Y := Y
% 121.04/121.47 Z := Z
% 121.04/121.47 end
% 121.04/121.47 substitution1:
% 121.04/121.47 X := X
% 121.04/121.47 Y := Y
% 121.04/121.47 Z := Z
% 121.04/121.47 end
% 121.04/121.47
% 121.04/121.47 resolution: (130192) {G4,W5,D2,L1,V2,M1} { cong( X, Y, X, Y ) }.
% 121.04/121.47 parent0[0]: (130190) {G3,W10,D2,L2,V3,M2} { ! cyclic( X, Y, Z, X ), cong(
% 121.04/121.47 X, Y, X, Y ) }.
% 121.04/121.47 parent1[0]: (128213) {G20,W5,D2,L1,V3,M1} R(120779,387) { cyclic( X, Y, Z,
% 121.04/121.47 X ) }.
% 121.04/121.47 substitution0:
% 121.04/121.47 X := X
% 121.04/121.47 Y := Y
% 121.04/121.47 Z := Z
% 121.04/121.47 end
% 121.04/121.47 substitution1:
% 121.04/121.47 X := X
% 121.04/121.47 Y := Y
% 121.04/121.47 Z := Z
% 121.04/121.47 end
% 121.04/121.47
% 121.04/121.47 subsumption: (128228) {G21,W5,D2,L1,V2,M1} R(128212,981);r(128213) { cong(
% 121.04/121.47 X, Y, X, Y ) }.
% 121.04/121.47 parent0: (130192) {G4,W5,D2,L1,V2,M1} { cong( X, Y, X, Y ) }.
% 121.04/121.47 substitution0:
% 121.04/121.47 X := X
% 121.04/121.47 Y := Y
% 121.04/121.47 end
% 121.04/121.47 permutation0:
% 121.04/121.47 0 ==> 0
% 121.04/121.47 end
% 121.04/121.47
% 121.04/121.47 resolution: (130193) {G2,W10,D2,L2,V3,M2} { ! cong( X, Z, X, Z ), perp( Y
% 121.04/121.47 , Z, X, X ) }.
% 121.04/121.47 parent0[0]: (1806) {G1,W15,D2,L3,V4,M3} R(56,7) { ! cong( X, Y, Z, Y ), !
% 121.04/121.47 cong( X, T, Z, T ), perp( Y, T, X, Z ) }.
% 121.04/121.47 parent1[0]: (128228) {G21,W5,D2,L1,V2,M1} R(128212,981);r(128213) { cong( X
% 121.04/121.47 , Y, X, Y ) }.
% 121.04/121.47 substitution0:
% 121.04/121.47 X := X
% 121.04/121.47 Y := Y
% 121.04/121.47 Z := X
% 121.04/121.47 T := Z
% 121.04/121.47 end
% 121.04/121.47 substitution1:
% 121.04/121.47 X := X
% 121.04/121.47 Y := Y
% 121.04/121.47 end
% 121.04/121.47
% 121.04/121.47 resolution: (130195) {G3,W5,D2,L1,V3,M1} { perp( Z, Y, X, X ) }.
% 121.04/121.47 parent0[0]: (130193) {G2,W10,D2,L2,V3,M2} { ! cong( X, Z, X, Z ), perp( Y
% 121.04/121.47 , Z, X, X ) }.
% 121.04/121.47 parent1[0]: (128228) {G21,W5,D2,L1,V2,M1} R(128212,981);r(128213) { cong( X
% 121.04/121.47 , Y, X, Y ) }.
% 121.04/121.47 substitution0:
% 121.04/121.47 X := X
% 121.04/121.47 Y := Z
% 121.04/121.47 Z := Y
% 121.04/121.47 end
% 121.04/121.47 substitution1:
% 121.04/121.47 X := X
% 121.04/121.47 Y := Y
% 121.04/121.47 end
% 121.04/121.47
% 121.04/121.47 subsumption: (129373) {G22,W5,D2,L1,V3,M1} R(128228,1806);r(128228) { perp
% 121.04/121.47 ( Z, Y, X, X ) }.
% 121.04/121.47 parent0: (130195) {G3,W5,D2,L1,V3,M1} { perp( Z, Y, X, X ) }.
% 121.04/121.47 substitution0:
% 121.04/121.47 X := X
% 121.04/121.47 Y := Y
% 121.04/121.47 Z := Z
% 121.04/121.47 end
% 121.04/121.47 permutation0:
% 121.04/121.47 0 ==> 0
% 121.04/121.47 end
% 121.04/121.47
% 121.04/121.47 resolution: (130196) {G3,W10,D2,L2,V4,M2} { ! cong( X, Y, X, Y ), para( Z
% 121.04/121.47 , T, Y, Y ) }.
% 121.04/121.47 parent0[1]: (1808) {G2,W15,D2,L3,V5,M3} F(1805) { ! cong( X, Y, Z, Y ), !
% 121.04/121.47 perp( T, U, X, Z ), para( T, U, Y, Y ) }.
% 121.04/121.47 parent1[0]: (129373) {G22,W5,D2,L1,V3,M1} R(128228,1806);r(128228) { perp(
% 121.04/121.47 Z, Y, X, X ) }.
% 121.04/121.47 substitution0:
% 121.04/121.47 X := X
% 121.04/121.47 Y := Y
% 121.04/121.47 Z := X
% 121.04/121.47 T := Z
% 121.04/121.47 U := T
% 121.04/121.47 end
% 121.04/121.47 substitution1:
% 121.04/121.47 X := X
% 121.04/121.47 Y := T
% 121.04/121.47 Z := Z
% 121.04/121.47 end
% 121.04/121.47
% 121.04/121.47 resolution: (130197) {G4,W5,D2,L1,V3,M1} { para( Z, T, Y, Y ) }.
% 121.04/121.47 parent0[0]: (130196) {G3,W10,D2,L2,V4,M2} { ! cong( X, Y, X, Y ), para( Z
% 121.04/121.47 , T, Y, Y ) }.
% 121.04/121.47 parent1[0]: (128228) {G21,W5,D2,L1,V2,M1} R(128212,981);r(128213) { cong( X
% 121.04/121.47 , Y, X, Y ) }.
% 121.04/121.47 substitution0:
% 121.04/121.47 X := X
% 121.04/121.47 Y := Y
% 121.04/121.47 Z := Z
% 121.04/121.47 T := T
% 121.04/121.47 end
% 121.04/121.47 substitution1:
% 121.04/121.47 X := X
% 121.04/121.47 Y := Y
% 121.04/121.47 end
% 121.04/121.47
% 121.04/121.47 subsumption: (129393) {G23,W5,D2,L1,V3,M1} R(129373,1808);r(128228) { para
% 121.04/121.47 ( Z, T, Y, Y ) }.
% 121.04/121.47 parent0: (130197) {G4,W5,D2,L1,V3,M1} { para( Z, T, Y, Y ) }.
% 121.04/121.47 substitution0:
% 121.04/121.47 X := U
% 121.04/121.47 Y := Y
% 121.04/121.47 Z := Z
% 121.04/121.47 T := T
% 121.04/121.47 end
% 121.04/121.47 permutation0:
% 121.04/121.47 0 ==> 0
% 121.04/121.47 end
% 121.04/121.47
% 121.04/121.47 resolution: (130198) {G2,W10,D2,L2,V5,M2} { ! para( X, Y, Z, Z ), perp( X
% 121.04/121.47 , Y, T, U ) }.
% 121.04/121.47 parent0[2]: (338) {G1,W15,D2,L3,V6,M3} R(9,7) { ! para( X, Y, Z, T ), perp
% 121.04/121.47 ( X, Y, U, W ), ! perp( U, W, Z, T ) }.
% 121.04/121.47 parent1[0]: (129373) {G22,W5,D2,L1,V3,M1} R(128228,1806);r(128228) { perp(
% 121.04/121.47 Z, Y, X, X ) }.
% 121.04/121.47 substitution0:
% 121.04/121.47 X := X
% 121.04/121.47 Y := Y
% 121.04/121.47 Z := Z
% 121.04/121.47 T := Z
% 121.04/121.47 U := T
% 121.04/121.47 W := U
% 121.04/121.47 end
% 121.04/121.47 substitution1:
% 121.04/121.47 X := Z
% 121.04/121.47 Y := U
% 121.04/121.47 Z := T
% 121.04/121.47 end
% 121.04/121.47
% 121.04/121.47 resolution: (130199) {G3,W5,D2,L1,V4,M1} { perp( X, Y, T, U ) }.
% 121.04/121.47 parent0[0]: (130198) {G2,W10,D2,L2,V5,M2} { ! para( X, Y, Z, Z ), perp( X
% 121.04/121.47 , Y, T, U ) }.
% 121.04/121.47 parent1[0]: (129393) {G23,W5,D2,L1,V3,M1} R(129373,1808);r(128228) { para(
% 121.04/121.47 Z, T, Y, Y ) }.
% 121.04/121.47 substitution0:
% 121.04/121.47 X := X
% 121.04/121.47 Y := Y
% 121.04/121.47 Z := Z
% 121.04/121.47 T := T
% 121.04/121.47 U := U
% 121.04/121.47 end
% 121.04/121.47 substitution1:
% 121.04/121.47 X := W
% 121.04/121.47 Y := Z
% 121.04/121.47 Z := X
% 121.04/121.47 T := Y
% 121.04/121.47 end
% 121.04/121.47
% 121.04/121.47 subsumption: (129396) {G24,W5,D2,L1,V4,M1} R(129373,338);r(129393) { perp(
% 121.04/121.47 X, Y, T, U ) }.
% 121.04/121.47 parent0: (130199) {G3,W5,D2,L1,V4,M1} { perp( X, Y, T, U ) }.
% 121.04/121.47 substitution0:
% 121.04/121.47 X := X
% 121.04/121.47 Y := Y
% 121.04/121.47 Z := W
% 121.04/121.47 T := T
% 121.04/121.47 U := U
% 121.04/121.47 end
% 121.04/121.47 permutation0:
% 121.04/121.47 0 ==> 0
% 121.04/121.47 end
% 121.04/121.47
% 121.04/121.47 resolution: (130200) {G2,W10,D2,L2,V5,M2} { ! perp( Z, Z, T, U ), para( T
% 121.04/121.47 , U, X, Y ) }.
% 121.04/121.47 parent0[0]: (287) {G1,W15,D2,L3,V6,M3} R(8,4) { ! perp( X, Y, Z, T ), !
% 121.04/121.47 perp( Z, T, U, W ), para( U, W, X, Y ) }.
% 121.04/121.47 parent1[0]: (129373) {G22,W5,D2,L1,V3,M1} R(128228,1806);r(128228) { perp(
% 121.04/121.47 Z, Y, X, X ) }.
% 121.04/121.47 substitution0:
% 121.04/121.47 X := X
% 121.04/121.47 Y := Y
% 121.04/121.47 Z := Z
% 121.04/121.47 T := Z
% 121.04/121.47 U := T
% 121.04/121.47 W := U
% 121.04/121.47 end
% 121.04/121.47 substitution1:
% 121.04/121.47 X := Z
% 121.04/121.47 Y := Y
% 121.04/121.47 Z := X
% 121.04/121.47 end
% 121.04/121.47
% 121.04/121.47 resolution: (130202) {G3,W5,D2,L1,V4,M1} { para( Y, Z, T, U ) }.
% 121.04/121.47 parent0[0]: (130200) {G2,W10,D2,L2,V5,M2} { ! perp( Z, Z, T, U ), para( T
% 121.04/121.47 , U, X, Y ) }.
% 121.04/121.47 parent1[0]: (129396) {G24,W5,D2,L1,V4,M1} R(129373,338);r(129393) { perp( X
% 121.04/121.47 , Y, T, U ) }.
% 121.04/121.47 substitution0:
% 121.04/121.47 X := T
% 121.04/121.47 Y := U
% 121.04/121.47 Z := X
% 121.04/121.47 T := Y
% 121.04/121.47 U := Z
% 121.04/121.47 end
% 121.04/121.47 substitution1:
% 121.04/121.47 X := X
% 121.04/121.47 Y := X
% 121.04/121.47 Z := W
% 121.04/121.47 T := Y
% 121.04/121.47 U := Z
% 121.04/121.47 end
% 121.04/121.47
% 121.04/121.47 subsumption: (129398) {G25,W5,D2,L1,V4,M1} R(129373,287);r(129396) { para(
% 121.04/121.47 Y, Z, T, U ) }.
% 121.04/121.47 parent0: (130202) {G3,W5,D2,L1,V4,M1} { para( Y, Z, T, U ) }.
% 121.04/121.47 substitution0:
% 121.04/121.47 X := W
% 121.04/121.47 Y := Y
% 121.04/121.47 Z := Z
% 121.04/121.47 T := T
% 121.04/121.47 U := U
% 121.04/121.47 end
% 121.04/121.47 permutation0:
% 121.04/121.47 0 ==> 0
% 121.04/121.47 end
% 121.04/121.47
% 121.04/121.47 resolution: (130203) {G2,W9,D2,L1,V6,M1} { eqangle( U, W, X, Y, U, W, Z, T
% 121.04/121.47 ) }.
% 121.04/121.47 parent0[0]: (724) {G1,W14,D2,L2,V6,M2} R(39,18) { ! para( X, Y, Z, T ),
% 121.04/121.47 eqangle( U, W, X, Y, U, W, Z, T ) }.
% 121.04/121.47 parent1[0]: (129398) {G25,W5,D2,L1,V4,M1} R(129373,287);r(129396) { para( Y
% 121.04/121.47 , Z, T, U ) }.
% 121.04/121.47 substitution0:
% 121.04/121.47 X := X
% 121.04/121.47 Y := Y
% 121.04/121.47 Z := Z
% 121.04/121.47 T := T
% 121.04/121.47 U := U
% 121.04/121.47 W := W
% 121.04/121.47 end
% 121.04/121.47 substitution1:
% 121.04/121.47 X := V0
% 121.04/121.47 Y := X
% 121.04/121.47 Z := Y
% 121.04/121.47 T := Z
% 121.04/121.47 U := T
% 121.04/121.47 end
% 121.04/121.47
% 121.04/121.47 subsumption: (129432) {G26,W9,D2,L1,V6,M1} R(129398,724) { eqangle( X, Y, Z
% 121.04/121.47 , T, X, Y, U, W ) }.
% 121.04/121.47 parent0: (130203) {G2,W9,D2,L1,V6,M1} { eqangle( U, W, X, Y, U, W, Z, T )
% 121.04/121.47 }.
% 121.04/121.47 substitution0:
% 121.04/121.47 X := Z
% 121.04/121.47 Y := T
% 121.04/121.47 Z := U
% 121.04/121.47 T := W
% 121.04/121.47 U := X
% 121.04/121.47 W := Y
% 121.04/121.47 end
% 121.04/121.47 permutation0:
% 121.04/121.47 0 ==> 0
% 121.04/121.47 end
% 121.04/121.47
% 121.04/121.47 resolution: (130204) {G2,W14,D2,L2,V8,M2} { ! para( X, Y, Z, T ), eqangle
% 121.04/121.47 ( X, Y, U, W, Z, T, V0, V1 ) }.
% 121.04/121.47 parent0[1]: (721) {G1,W23,D2,L3,V10,M3} R(39,21) { ! para( X, Y, Z, T ), !
% 121.04/121.47 eqangle( U, W, V0, V1, X, Y, V2, V3 ), eqangle( U, W, V0, V1, Z, T, V2,
% 121.04/121.47 V3 ) }.
% 121.04/121.47 parent1[0]: (129432) {G26,W9,D2,L1,V6,M1} R(129398,724) { eqangle( X, Y, Z
% 121.04/121.47 , T, X, Y, U, W ) }.
% 121.04/121.47 substitution0:
% 121.04/121.47 X := X
% 121.04/121.47 Y := Y
% 121.04/121.47 Z := Z
% 121.04/121.47 T := T
% 121.04/121.47 U := X
% 121.04/121.47 W := Y
% 121.04/121.47 V0 := U
% 121.04/121.47 V1 := W
% 121.04/121.47 V2 := V0
% 121.04/121.47 V3 := V1
% 121.04/121.47 end
% 121.04/121.47 substitution1:
% 121.04/121.47 X := X
% 121.04/121.47 Y := Y
% 121.04/121.47 Z := U
% 121.04/121.47 T := W
% 121.04/121.47 U := V0
% 121.04/121.47 W := V1
% 121.04/121.47 end
% 121.04/121.47
% 121.04/121.47 resolution: (130205) {G3,W9,D2,L1,V8,M1} { eqangle( X, Y, U, W, Z, T, V0,
% 121.04/121.47 V1 ) }.
% 121.04/121.47 parent0[0]: (130204) {G2,W14,D2,L2,V8,M2} { ! para( X, Y, Z, T ), eqangle
% 121.04/121.47 ( X, Y, U, W, Z, T, V0, V1 ) }.
% 121.04/121.47 parent1[0]: (129398) {G25,W5,D2,L1,V4,M1} R(129373,287);r(129396) { para( Y
% 121.04/121.47 , Z, T, U ) }.
% 121.04/121.47 substitution0:
% 121.04/121.47 X := X
% 121.04/121.47 Y := Y
% 121.04/121.47 Z := Z
% 121.04/121.47 T := T
% 121.04/121.47 U := U
% 121.04/121.47 W := W
% 121.04/121.47 V0 := V0
% 121.04/121.47 V1 := V1
% 121.04/121.47 end
% 121.04/121.47 substitution1:
% 121.04/121.47 X := V2
% 121.04/121.47 Y := X
% 121.04/121.47 Z := Y
% 121.04/121.47 T := Z
% 121.04/121.47 U := T
% 121.04/121.47 end
% 121.04/121.47
% 121.04/121.47 subsumption: (129597) {G27,W9,D2,L1,V8,M1} R(129432,721);r(129398) {
% 121.04/121.47 eqangle( X, Y, U, W, Z, T, V0, V1 ) }.
% 121.04/121.47 parent0: (130205) {G3,W9,D2,L1,V8,M1} { eqangle( X, Y, U, W, Z, T, V0, V1
% 121.04/121.47 ) }.
% 121.04/121.47 substitution0:
% 121.04/121.47 X := X
% 121.04/121.47 Y := Y
% 121.04/121.47 Z := Z
% 121.04/121.47 T := T
% 121.04/121.47 U := U
% 121.04/121.47 W := W
% 121.04/121.47 V0 := V0
% 121.04/121.47 V1 := V1
% 121.04/121.47 end
% 121.04/121.47 permutation0:
% 121.04/121.47 0 ==> 0
% 121.04/121.47 end
% 121.04/121.47
% 121.04/121.47 resolution: (130206) {G1,W0,D0,L0,V0,M0} { }.
% 121.04/121.47 parent0[0]: (125) {G0,W9,D2,L1,V0,M1} I { ! eqangle( skol23, skol22, skol22
% 121.04/121.47 , skol24, skol24, skol22, skol22, skol20 ) }.
% 121.04/121.47 parent1[0]: (129597) {G27,W9,D2,L1,V8,M1} R(129432,721);r(129398) { eqangle
% 121.04/121.47 ( X, Y, U, W, Z, T, V0, V1 ) }.
% 121.04/121.47 substitution0:
% 121.04/121.47 end
% 121.04/121.47 substitution1:
% 121.04/121.47 X := skol23
% 121.04/121.47 Y := skol22
% 121.04/121.47 Z := skol24
% 121.04/121.47 T := skol22
% 121.04/121.47 U := skol22
% 121.04/121.47 W := skol24
% 121.04/121.47 V0 := skol22
% 121.04/121.47 V1 := skol20
% 121.04/121.47 end
% 121.04/121.47
% 121.04/121.47 subsumption: (129598) {G28,W0,D0,L0,V0,M0} R(129597,125) { }.
% 121.04/121.47 parent0: (130206) {G1,W0,D0,L0,V0,M0} { }.
% 121.04/121.47 substitution0:
% 121.04/121.47 end
% 121.04/121.47 permutation0:
% 121.04/121.47 end
% 121.04/121.47
% 121.04/121.47 Proof check complete!
% 121.04/121.47
% 121.04/121.47 Memory use:
% 121.04/121.47
% 121.04/121.47 space for terms: 1802917
% 121.04/121.47 space for clauses: 6144523
% 121.04/121.47
% 121.04/121.47
% 121.04/121.47 clauses generated: 637762
% 121.04/121.47 clauses kept: 129599
% 121.04/121.47 clauses selected: 4745
% 121.04/121.47 clauses deleted: 28318
% 121.04/121.47 clauses inuse deleted: 2564
% 121.04/121.47
% 121.04/121.47 subsentry: 22279142
% 121.04/121.47 literals s-matched: 15049892
% 121.04/121.47 literals matched: 7852348
% 121.04/121.47 full subsumption: 4262168
% 121.04/121.47
% 121.04/121.47 checksum: -67235420
% 121.04/121.47
% 121.04/121.47
% 121.04/121.47 Bliksem ended
%------------------------------------------------------------------------------