TSTP Solution File: GEO599+1 by Bliksem---1.12
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : GEO599+1 : TPTP v8.1.0. Released v7.5.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n016.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 02:55:00 EDT 2022
% Result : Theorem 19.14s 19.52s
% Output : Refutation 19.14s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : GEO599+1 : TPTP v8.1.0. Released v7.5.0.
% 0.03/0.13 % Command : bliksem %s
% 0.13/0.34 % Computer : n016.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % DateTime : Sat Jun 18 02:02:06 EDT 2022
% 0.13/0.35 % CPUTime :
% 0.75/1.15 *** allocated 10000 integers for termspace/termends
% 0.75/1.15 *** allocated 10000 integers for clauses
% 0.75/1.15 *** allocated 10000 integers for justifications
% 0.75/1.15 Bliksem 1.12
% 0.75/1.15
% 0.75/1.15
% 0.75/1.15 Automatic Strategy Selection
% 0.75/1.15
% 0.75/1.15 *** allocated 15000 integers for termspace/termends
% 0.75/1.15
% 0.75/1.15 Clauses:
% 0.75/1.15
% 0.75/1.15 { ! coll( X, Y, Z ), coll( X, Z, Y ) }.
% 0.75/1.15 { ! coll( X, Y, Z ), coll( Y, X, Z ) }.
% 0.75/1.15 { ! coll( X, T, Y ), ! coll( X, T, Z ), coll( Y, Z, X ) }.
% 0.75/1.15 { ! para( X, Y, Z, T ), para( X, Y, T, Z ) }.
% 0.75/1.15 { ! para( X, Y, Z, T ), para( Z, T, X, Y ) }.
% 0.75/1.15 { ! para( X, Y, U, W ), ! para( U, W, Z, T ), para( X, Y, Z, T ) }.
% 0.75/1.15 { ! perp( X, Y, Z, T ), perp( X, Y, T, Z ) }.
% 0.75/1.15 { ! perp( X, Y, Z, T ), perp( Z, T, X, Y ) }.
% 0.75/1.15 { ! perp( X, Y, U, W ), ! perp( U, W, Z, T ), para( X, Y, Z, T ) }.
% 0.75/1.15 { ! para( X, Y, U, W ), ! perp( U, W, Z, T ), perp( X, Y, Z, T ) }.
% 0.75/1.15 { ! midp( Z, Y, X ), midp( Z, X, Y ) }.
% 0.75/1.15 { ! cong( T, X, T, Y ), ! cong( T, X, T, Z ), circle( T, X, Y, Z ) }.
% 0.75/1.15 { ! cong( U, X, U, Y ), ! cong( U, X, U, Z ), ! cong( U, X, U, T ), cyclic
% 0.75/1.15 ( X, Y, Z, T ) }.
% 0.75/1.15 { ! cyclic( X, Y, Z, T ), cyclic( X, Y, T, Z ) }.
% 0.75/1.15 { ! cyclic( X, Y, Z, T ), cyclic( X, Z, Y, T ) }.
% 0.75/1.15 { ! cyclic( X, Y, Z, T ), cyclic( Y, X, Z, T ) }.
% 0.75/1.15 { ! cyclic( U, X, Y, Z ), ! cyclic( U, X, Y, T ), cyclic( X, Y, Z, T ) }.
% 0.75/1.15 { ! eqangle( X, Y, Z, T, U, W, V0, V1 ), eqangle( Y, X, Z, T, U, W, V0, V1
% 0.75/1.15 ) }.
% 0.75/1.15 { ! eqangle( X, Y, Z, T, U, W, V0, V1 ), eqangle( Z, T, X, Y, V0, V1, U, W
% 0.75/1.15 ) }.
% 0.75/1.15 { ! eqangle( X, Y, Z, T, U, W, V0, V1 ), eqangle( U, W, V0, V1, X, Y, Z, T
% 0.75/1.15 ) }.
% 0.75/1.15 { ! eqangle( X, Y, Z, T, U, W, V0, V1 ), eqangle( X, Y, U, W, Z, T, V0, V1
% 0.75/1.15 ) }.
% 0.75/1.15 { ! eqangle( X, Y, Z, T, V2, V3, V4, V5 ), ! eqangle( V2, V3, V4, V5, U, W
% 0.75/1.15 , V0, V1 ), eqangle( X, Y, Z, T, U, W, V0, V1 ) }.
% 0.75/1.15 { ! cong( X, Y, Z, T ), cong( X, Y, T, Z ) }.
% 0.75/1.15 { ! cong( X, Y, Z, T ), cong( Z, T, X, Y ) }.
% 0.75/1.15 { ! cong( X, Y, U, W ), ! cong( U, W, Z, T ), cong( X, Y, Z, T ) }.
% 0.75/1.15 { ! eqratio( X, Y, Z, T, U, W, V0, V1 ), eqratio( Y, X, Z, T, U, W, V0, V1
% 0.75/1.15 ) }.
% 0.75/1.15 { ! eqratio( X, Y, Z, T, U, W, V0, V1 ), eqratio( Z, T, X, Y, V0, V1, U, W
% 0.75/1.15 ) }.
% 0.75/1.15 { ! eqratio( X, Y, Z, T, U, W, V0, V1 ), eqratio( U, W, V0, V1, X, Y, Z, T
% 0.75/1.15 ) }.
% 0.75/1.15 { ! eqratio( X, Y, Z, T, U, W, V0, V1 ), eqratio( X, Y, U, W, Z, T, V0, V1
% 0.75/1.15 ) }.
% 0.75/1.15 { ! eqratio( X, Y, Z, T, V2, V3, V4, V5 ), ! eqratio( V2, V3, V4, V5, U, W
% 0.75/1.15 , V0, V1 ), eqratio( X, Y, Z, T, U, W, V0, V1 ) }.
% 0.75/1.15 { ! simtri( X, Z, Y, T, W, U ), simtri( X, Y, Z, T, U, W ) }.
% 0.75/1.15 { ! simtri( Y, X, Z, U, T, W ), simtri( X, Y, Z, T, U, W ) }.
% 0.75/1.15 { ! simtri( T, U, W, X, Y, Z ), simtri( X, Y, Z, T, U, W ) }.
% 0.75/1.15 { ! simtri( X, Y, Z, V0, V1, V2 ), ! simtri( V0, V1, V2, T, U, W ), simtri
% 0.75/1.15 ( X, Y, Z, T, U, W ) }.
% 0.75/1.15 { ! contri( X, Z, Y, T, W, U ), contri( X, Y, Z, T, U, W ) }.
% 0.75/1.15 { ! contri( Y, X, Z, U, T, W ), contri( X, Y, Z, T, U, W ) }.
% 0.75/1.15 { ! contri( T, U, W, X, Y, Z ), contri( X, Y, Z, T, U, W ) }.
% 0.75/1.15 { ! contri( X, Y, Z, V0, V1, V2 ), ! contri( V0, V1, V2, T, U, W ), contri
% 0.75/1.15 ( X, Y, Z, T, U, W ) }.
% 0.75/1.15 { ! eqangle( X, Y, U, W, Z, T, U, W ), para( X, Y, Z, T ) }.
% 0.75/1.15 { ! para( X, Y, Z, T ), eqangle( X, Y, U, W, Z, T, U, W ) }.
% 0.75/1.15 { ! cyclic( X, Y, Z, T ), eqangle( Z, X, Z, Y, T, X, T, Y ) }.
% 0.75/1.15 { ! eqangle( Z, X, Z, Y, T, X, T, Y ), coll( Z, T, X ), cyclic( X, Y, Z, T
% 0.75/1.15 ) }.
% 0.75/1.15 { ! eqangle( Z, X, Z, Y, T, X, T, Y ), ! coll( Z, T, Y ), cyclic( X, Y, Z,
% 0.75/1.15 T ) }.
% 0.75/1.15 { ! cyclic( X, Y, U, Z ), ! cyclic( X, Y, U, T ), ! cyclic( X, Y, U, W ), !
% 0.75/1.15 eqangle( U, X, U, Y, W, Z, W, T ), cong( X, Y, Z, T ) }.
% 0.75/1.15 { ! midp( Z, U, X ), ! midp( T, U, Y ), para( Z, T, X, Y ) }.
% 0.75/1.15 { ! midp( U, X, T ), ! para( U, Z, T, Y ), ! coll( Z, X, Y ), midp( Z, X, Y
% 0.75/1.15 ) }.
% 0.75/1.15 { ! cong( Z, X, Z, Y ), eqangle( Z, X, X, Y, X, Y, Z, Y ) }.
% 0.75/1.15 { ! eqangle( Z, X, X, Y, X, Y, Z, Y ), coll( Z, X, Y ), cong( Z, X, Z, Y )
% 0.75/1.15 }.
% 0.75/1.15 { ! circle( U, X, Y, Z ), ! perp( U, X, X, T ), eqangle( X, T, X, Y, Z, X,
% 0.75/1.15 Z, Y ) }.
% 0.75/1.15 { ! circle( Y, X, T, U ), ! eqangle( X, Z, X, T, U, X, U, T ), perp( Y, X,
% 0.75/1.15 X, Z ) }.
% 0.75/1.15 { ! circle( T, X, Y, Z ), ! midp( U, Y, Z ), eqangle( X, Y, X, Z, T, Y, T,
% 0.75/1.15 U ) }.
% 0.75/1.15 { ! circle( U, T, X, Y ), ! coll( Z, X, Y ), ! eqangle( T, X, T, Y, U, X, U
% 0.75/1.15 , Z ), midp( Z, X, Y ) }.
% 0.75/1.15 { ! perp( X, Y, Y, T ), ! midp( Z, X, T ), cong( X, Z, Y, Z ) }.
% 0.75/1.15 { ! circle( T, X, Y, Z ), ! coll( T, X, Z ), perp( X, Y, Y, Z ) }.
% 0.75/1.15 { ! cyclic( X, Y, Z, T ), ! para( X, Y, Z, T ), eqangle( X, T, Z, T, Z, T,
% 0.75/1.15 Z, Y ) }.
% 0.75/1.15 { ! midp( T, X, Y ), ! perp( Z, T, X, Y ), cong( Z, X, Z, Y ) }.
% 0.75/1.15 { ! cong( X, Z, Y, Z ), ! cong( X, T, Y, T ), perp( X, Y, Z, T ) }.
% 0.75/1.15 { ! cong( X, Y, T, Y ), ! cong( X, Z, T, Z ), ! cyclic( X, T, Y, Z ), perp
% 0.75/1.15 ( Y, X, X, Z ) }.
% 0.75/1.15 { ! eqangle( X, Y, Y, Z, T, U, U, W ), ! eqangle( X, Z, Y, Z, T, W, U, W )
% 0.75/1.15 , coll( X, Y, Z ), simtri( X, Y, Z, T, U, W ) }.
% 0.75/1.15 { ! simtri( X, Y, Z, T, U, W ), eqratio( X, Y, X, Z, T, U, T, W ) }.
% 0.75/1.15 { ! simtri( X, Y, Z, T, U, W ), eqangle( X, Y, Y, Z, T, U, U, W ) }.
% 0.75/1.15 { ! simtri( X, Y, Z, T, U, W ), ! cong( X, Y, T, U ), contri( X, Y, Z, T, U
% 0.75/1.15 , W ) }.
% 0.75/1.15 { ! contri( X, Y, U, Z, T, W ), cong( X, Y, Z, T ) }.
% 0.75/1.15 { ! midp( U, X, Y ), ! midp( U, Z, T ), para( X, Z, Y, T ) }.
% 0.75/1.15 { ! midp( Z, T, U ), ! para( T, X, U, Y ), ! para( T, Y, U, X ), midp( Z, X
% 0.75/1.15 , Y ) }.
% 0.75/1.15 { ! para( X, Y, Z, T ), ! coll( U, X, Z ), ! coll( U, Y, T ), eqratio( U, X
% 0.75/1.15 , X, Z, U, Y, Y, T ) }.
% 0.75/1.15 { ! para( X, Y, X, Z ), coll( X, Y, Z ) }.
% 0.75/1.15 { ! cong( X, Y, X, Z ), ! coll( X, Y, Z ), midp( X, Y, Z ) }.
% 0.75/1.15 { ! midp( X, Y, Z ), cong( X, Y, X, Z ) }.
% 0.75/1.15 { ! midp( X, Y, Z ), coll( X, Y, Z ) }.
% 0.75/1.15 { ! midp( U, X, Y ), ! midp( W, Z, T ), eqratio( U, X, X, Y, W, Z, Z, T ) }
% 0.75/1.15 .
% 0.75/1.15 { ! eqangle( X, Y, Z, T, Z, T, X, Y ), para( X, Y, Z, T ), perp( X, Y, Z, T
% 0.75/1.15 ) }.
% 0.75/1.15 { ! eqangle( X, Y, Z, T, Z, T, X, Y ), perp( X, Y, Z, T ), para( X, Y, Z, T
% 0.75/1.15 ) }.
% 0.75/1.15 { ! eqangle( X, Y, Z, T, U, W, V0, V1 ), ! para( U, W, V0, V1 ), para( X, Y
% 0.75/1.15 , Z, T ) }.
% 0.75/1.15 { ! eqangle( X, Y, Z, T, U, W, V0, V1 ), ! perp( U, W, V0, V1 ), perp( X, Y
% 0.75/1.15 , Z, T ) }.
% 0.75/1.15 { ! eqratio( X, Y, Z, T, U, W, V0, V1 ), ! cong( U, W, V0, V1 ), cong( X, Y
% 0.75/1.15 , Z, T ) }.
% 0.75/1.15 { ! perp( Z, Y, Y, X ), ! eqangle( T, Z, Y, Z, Y, Z, X, Z ), coll( skol1( U
% 0.75/1.15 , W, Z, T ), Z, T ) }.
% 0.75/1.15 { ! perp( Z, Y, Y, X ), ! eqangle( T, Z, Y, Z, Y, Z, X, Z ), coll( skol1( X
% 0.75/1.15 , Y, Z, T ), X, Y ) }.
% 0.75/1.15 { ! cong( Z, X, Z, Y ), ! eqangle( X, Z, Z, T, Z, T, Z, Y ), coll( skol2( U
% 0.75/1.15 , W, Z, T ), Z, T ) }.
% 0.75/1.15 { ! cong( Z, X, Z, Y ), ! eqangle( X, Z, Z, T, Z, T, Z, Y ), coll( Y, X,
% 0.75/1.15 skol2( X, Y, Z, T ) ) }.
% 0.75/1.15 { ! perp( Z, T, X, Y ), ! eqangle( X, Z, Z, T, Z, T, Z, Y ), coll( skol3( U
% 0.75/1.15 , W, Z, T ), Z, T ) }.
% 0.75/1.15 { ! perp( Z, T, X, Y ), ! eqangle( X, Z, Z, T, Z, T, Z, Y ), coll( Y, X,
% 0.75/1.15 skol3( X, Y, Z, T ) ) }.
% 0.75/1.15 { ! perp( Z, T, X, Y ), ! cong( Z, X, Z, Y ), coll( skol4( U, W, Z, T ), Z
% 0.75/1.15 , T ) }.
% 0.75/1.15 { ! perp( Z, T, X, Y ), ! cong( Z, X, Z, Y ), coll( Y, X, skol4( X, Y, Z, T
% 0.75/1.15 ) ) }.
% 0.75/1.15 { ! eqangle( X, Z, Y, Z, X, T, Y, U ), coll( X, Y, Z ), cyclic( T, Y, Z,
% 0.75/1.15 skol5( W, Y, Z, T ) ) }.
% 0.75/1.15 { ! eqangle( X, Z, Y, Z, X, T, Y, U ), coll( X, Y, Z ), eqangle( X, Z, Y, Z
% 0.75/1.15 , X, skol5( X, Y, Z, T ), Y, skol5( X, Y, Z, T ) ) }.
% 0.75/1.15 { ! midp( U, X, Y ), ! midp( W, Z, T ), midp( skol6( X, V0, V1, T, V2, V3 )
% 0.75/1.15 , X, T ) }.
% 0.75/1.15 { ! midp( U, X, Y ), ! midp( W, Z, T ), para( skol6( X, V0, Z, T, V1, W ),
% 0.75/1.15 W, X, Z ) }.
% 0.75/1.15 { ! midp( U, X, Y ), ! midp( W, Z, T ), para( skol6( X, Y, Z, T, U, W ), U
% 0.75/1.15 , Y, T ) }.
% 0.75/1.15 { ! midp( Z, X, Y ), ! midp( W, T, U ), ! coll( T, X, Y ), ! coll( U, X, Y
% 0.75/1.15 ), midp( skol7( X, V0 ), X, V0 ) }.
% 0.75/1.15 { ! midp( T, X, U ), ! para( X, W, Z, T ), ! para( X, W, U, Y ), ! coll( W
% 0.75/1.15 , Y, Z ), coll( skol8( V0, V1, Z, T ), T, Z ) }.
% 0.75/1.15 { ! midp( T, X, U ), ! para( X, W, Z, T ), ! para( X, W, U, Y ), ! coll( W
% 0.75/1.15 , Y, Z ), coll( skol8( X, Y, Z, T ), X, Y ) }.
% 0.75/1.15 { ! cong( T, Z, T, U ), ! perp( X, Y, Y, T ), cong( T, Z, T, skol9( W, V0,
% 0.75/1.15 Z, T ) ) }.
% 0.75/1.15 { ! cong( T, Z, T, U ), ! perp( X, Y, Y, T ), cong( Y, Z, Y, skol9( W, Y, Z
% 0.75/1.15 , T ) ) }.
% 0.75/1.15 { ! cong( T, Z, T, U ), ! perp( X, Y, Y, T ), para( skol9( X, Y, Z, T ), Z
% 0.75/1.15 , X, Y ) }.
% 0.75/1.15 { ! perp( X, T, Y, Z ), ! perp( Y, T, X, Z ), coll( skol10( U, Y, Z ), Z, Y
% 0.75/1.15 ) }.
% 0.75/1.15 { ! perp( X, T, Y, Z ), ! perp( Y, T, X, Z ), perp( X, skol10( X, Y, Z ), Z
% 0.75/1.15 , Y ) }.
% 0.75/1.15 { ! perp( X, T, Y, Z ), ! perp( Y, T, X, Z ), alpha1( X, Y, Z ) }.
% 0.75/1.15 { ! alpha1( X, Y, Z ), coll( skol11( X, T, Z ), Z, X ) }.
% 0.75/1.15 { ! alpha1( X, Y, Z ), perp( Y, skol11( X, Y, Z ), Z, X ) }.
% 0.75/1.15 { ! coll( T, Z, X ), ! perp( Y, T, Z, X ), alpha1( X, Y, Z ) }.
% 0.75/1.15 { ! circle( Y, X, Z, T ), perp( skol12( X, Y ), X, X, Y ) }.
% 0.75/1.56 { ! circle( W, X, Y, Z ), ! cong( W, X, W, T ), ! cong( U, X, U, Y ), W = U
% 0.75/1.56 , alpha2( X, Z, U, skol13( X, V0, Z, V1, U ) ) }.
% 0.75/1.56 { ! circle( W, X, Y, Z ), ! cong( W, X, W, T ), ! cong( U, X, U, Y ), W = U
% 0.75/1.56 , coll( skol21( V0, Y, T, V1 ), Y, T ) }.
% 0.75/1.56 { ! circle( W, X, Y, Z ), ! cong( W, X, W, T ), ! cong( U, X, U, Y ), W = U
% 0.75/1.56 , cong( skol21( X, Y, T, U ), U, U, X ) }.
% 0.75/1.56 { ! alpha2( X, Y, Z, T ), coll( T, X, Y ) }.
% 0.75/1.56 { ! alpha2( X, Y, Z, T ), cong( T, Z, Z, X ) }.
% 0.75/1.56 { ! coll( T, X, Y ), ! cong( T, Z, Z, X ), alpha2( X, Y, Z, T ) }.
% 0.75/1.56 { ! cyclic( X, Y, Z, T ), ! para( X, Y, Z, T ), ! midp( U, X, Y ), circle(
% 0.75/1.56 skol14( X, Y, Z ), X, Y, Z ) }.
% 0.75/1.56 { ! perp( X, Z, Z, Y ), ! cyclic( X, Y, Z, T ), circle( skol15( X, Y, Z ),
% 0.75/1.56 X, Y, Z ) }.
% 0.75/1.56 { ! perp( X, U, U, T ), ! coll( T, Y, Z ), coll( skol16( W, Y, Z ), Y, Z )
% 0.75/1.56 }.
% 0.75/1.56 { ! perp( X, U, U, T ), ! coll( T, Y, Z ), perp( skol16( X, Y, Z ), X, Y, Z
% 0.75/1.56 ) }.
% 0.75/1.56 { ! perp( X, Z, X, Y ), ! perp( Y, X, Y, T ), ! midp( U, Z, T ), midp(
% 0.75/1.56 skol17( X, Y ), X, Y ) }.
% 0.75/1.56 { ! cong( Y, X, Y, Z ), ! perp( X, Y, Y, Z ), coll( X, Y, skol18( X, Y ) )
% 0.75/1.56 }.
% 0.75/1.56 { ! cong( Y, X, Y, Z ), ! perp( X, Y, Y, Z ), cong( Y, X, Y, skol18( X, Y )
% 0.75/1.56 ) }.
% 0.75/1.56 { ! para( U, W, X, Y ), ! coll( Z, U, X ), ! coll( Z, W, Y ), ! coll( T, U
% 0.75/1.56 , W ), coll( Z, T, skol19( V0, V1, Z, T ) ) }.
% 0.75/1.56 { ! para( U, W, X, Y ), ! coll( Z, U, X ), ! coll( Z, W, Y ), ! coll( T, U
% 0.75/1.56 , W ), coll( skol19( X, Y, Z, T ), X, Y ) }.
% 0.75/1.56 { circle( skol23, skol20, skol26, skol22 ) }.
% 0.75/1.56 { midp( skol27, skol26, skol20 ) }.
% 0.75/1.56 { coll( skol24, skol23, skol27 ) }.
% 0.75/1.56 { circle( skol24, skol20, skol28, skol29 ) }.
% 0.75/1.56 { coll( skol25, skol26, skol22 ) }.
% 0.75/1.56 { circle( skol24, skol20, skol25, skol30 ) }.
% 0.75/1.56 { alpha3( skol20, skol22, skol23, skol24, skol25 ), ! eqangle( skol20,
% 0.75/1.56 skol23, skol23, skol24, skol22, skol20, skol20, skol25 ), ! eqangle(
% 0.75/1.56 skol20, skol23, skol23, skol24, skol20, skol22, skol22, skol25 ) }.
% 0.75/1.56 { alpha3( skol20, skol22, skol23, skol24, skol25 ), ! eqangle( skol23,
% 0.75/1.56 skol20, skol20, skol24, skol20, skol25, skol25, skol22 ), ! eqangle(
% 0.75/1.56 skol20, skol23, skol23, skol24, skol20, skol22, skol22, skol25 ) }.
% 0.75/1.56 { ! alpha3( X, Y, Z, T, U ), alpha4( X, Y, Z, T, U ), ! eqangle( X, Z, Z, T
% 0.75/1.56 , X, U, U, Y ) }.
% 0.75/1.56 { ! alpha3( X, Y, Z, T, U ), alpha4( X, Y, Z, T, U ), ! eqangle( Z, X, X, T
% 0.75/1.56 , X, U, U, Y ) }.
% 0.75/1.56 { ! alpha4( X, Y, Z, T, U ), alpha3( X, Y, Z, T, U ) }.
% 0.75/1.56 { eqangle( X, Z, Z, T, X, U, U, Y ), eqangle( Z, X, X, T, X, U, U, Y ),
% 0.75/1.56 alpha3( X, Y, Z, T, U ) }.
% 0.75/1.56 { ! alpha4( X, Y, Z, T, U ), alpha5( X, Y, Z, T, U ), ! eqangle( X, Z, Z, T
% 0.75/1.56 , Y, X, X, U ) }.
% 0.75/1.56 { ! alpha4( X, Y, Z, T, U ), alpha5( X, Y, Z, T, U ), ! eqangle( Z, X, X, T
% 0.75/1.56 , X, Y, Y, U ) }.
% 0.75/1.56 { ! alpha5( X, Y, Z, T, U ), alpha4( X, Y, Z, T, U ) }.
% 0.75/1.56 { eqangle( X, Z, Z, T, Y, X, X, U ), eqangle( Z, X, X, T, X, Y, Y, U ),
% 0.75/1.56 alpha4( X, Y, Z, T, U ) }.
% 0.75/1.56 { ! alpha5( X, Y, Z, T, U ), alpha6( X, Y, Z, T, U ), ! eqangle( X, Z, Z, T
% 0.75/1.56 , X, U, U, Y ) }.
% 0.75/1.56 { ! alpha5( X, Y, Z, T, U ), alpha6( X, Y, Z, T, U ), ! eqangle( Z, X, X, T
% 0.75/1.56 , X, Y, Y, U ) }.
% 0.75/1.56 { ! alpha6( X, Y, Z, T, U ), alpha5( X, Y, Z, T, U ) }.
% 0.75/1.56 { eqangle( X, Z, Z, T, X, U, U, Y ), eqangle( Z, X, X, T, X, Y, Y, U ),
% 0.75/1.56 alpha5( X, Y, Z, T, U ) }.
% 0.75/1.56 { ! alpha6( X, Y, Z, T, U ), ! eqangle( Z, X, X, T, Y, X, X, U ), ! eqangle
% 0.75/1.56 ( X, Z, Z, T, X, Y, Y, U ) }.
% 0.75/1.56 { ! alpha6( X, Y, Z, T, U ), ! eqangle( Z, X, X, T, Y, X, X, U ), ! eqangle
% 0.75/1.56 ( Z, X, X, T, Y, X, X, U ) }.
% 0.75/1.56 { eqangle( Z, X, X, T, Y, X, X, U ), alpha6( X, Y, Z, T, U ) }.
% 0.75/1.56 { eqangle( X, Z, Z, T, X, Y, Y, U ), eqangle( Z, X, X, T, Y, X, X, U ),
% 0.75/1.56 alpha6( X, Y, Z, T, U ) }.
% 0.75/1.56
% 0.75/1.56 percentage equality = 0.007752, percentage horn = 0.906475
% 0.75/1.56 This is a problem with some equality
% 0.75/1.56
% 0.75/1.56
% 0.75/1.56
% 0.75/1.56 Options Used:
% 0.75/1.56
% 0.75/1.56 useres = 1
% 0.75/1.56 useparamod = 1
% 0.75/1.56 useeqrefl = 1
% 0.75/1.56 useeqfact = 1
% 0.75/1.56 usefactor = 1
% 0.75/1.56 usesimpsplitting = 0
% 0.75/1.56 usesimpdemod = 5
% 0.75/1.56 usesimpres = 3
% 0.75/1.56
% 0.75/1.56 resimpinuse = 1000
% 0.75/1.56 resimpclauses = 20000
% 0.75/1.56 substype = eqrewr
% 0.75/1.56 backwardsubs = 1
% 0.75/1.56 selectoldest = 5
% 0.75/1.56
% 0.75/1.56 litorderings [0] = split
% 0.75/1.56 litorderings [1] = extend the termordering, first sorting on arguments
% 0.75/1.56
% 0.75/1.56 termordering = kbo
% 0.75/1.56
% 0.75/1.56 litapriori = 0
% 0.75/1.56 termapriori = 1
% 10.78/11.18 litaposteriori = 0
% 10.78/11.18 termaposteriori = 0
% 10.78/11.18 demodaposteriori = 0
% 10.78/11.18 ordereqreflfact = 0
% 10.78/11.18
% 10.78/11.18 litselect = negord
% 10.78/11.18
% 10.78/11.18 maxweight = 15
% 10.78/11.18 maxdepth = 30000
% 10.78/11.18 maxlength = 115
% 10.78/11.18 maxnrvars = 195
% 10.78/11.18 excuselevel = 1
% 10.78/11.18 increasemaxweight = 1
% 10.78/11.18
% 10.78/11.18 maxselected = 10000000
% 10.78/11.18 maxnrclauses = 10000000
% 10.78/11.18
% 10.78/11.18 showgenerated = 0
% 10.78/11.18 showkept = 0
% 10.78/11.18 showselected = 0
% 10.78/11.18 showdeleted = 0
% 10.78/11.18 showresimp = 1
% 10.78/11.18 showstatus = 2000
% 10.78/11.18
% 10.78/11.18 prologoutput = 0
% 10.78/11.18 nrgoals = 5000000
% 10.78/11.18 totalproof = 1
% 10.78/11.18
% 10.78/11.18 Symbols occurring in the translation:
% 10.78/11.18
% 10.78/11.18 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 10.78/11.18 . [1, 2] (w:1, o:42, a:1, s:1, b:0),
% 10.78/11.18 ! [4, 1] (w:0, o:37, a:1, s:1, b:0),
% 10.78/11.18 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 10.78/11.18 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 10.78/11.18 coll [38, 3] (w:1, o:70, a:1, s:1, b:0),
% 10.78/11.18 para [40, 4] (w:1, o:78, a:1, s:1, b:0),
% 10.78/11.18 perp [43, 4] (w:1, o:79, a:1, s:1, b:0),
% 10.78/11.18 midp [45, 3] (w:1, o:71, a:1, s:1, b:0),
% 10.78/11.18 cong [47, 4] (w:1, o:80, a:1, s:1, b:0),
% 10.78/11.18 circle [48, 4] (w:1, o:81, a:1, s:1, b:0),
% 10.78/11.18 cyclic [49, 4] (w:1, o:82, a:1, s:1, b:0),
% 10.78/11.18 eqangle [54, 8] (w:1, o:101, a:1, s:1, b:0),
% 10.78/11.18 eqratio [57, 8] (w:1, o:102, a:1, s:1, b:0),
% 10.78/11.18 simtri [59, 6] (w:1, o:98, a:1, s:1, b:0),
% 10.78/11.18 contri [60, 6] (w:1, o:99, a:1, s:1, b:0),
% 10.78/11.18 alpha1 [67, 3] (w:1, o:72, a:1, s:1, b:1),
% 10.78/11.18 alpha2 [68, 4] (w:1, o:83, a:1, s:1, b:1),
% 10.78/11.18 alpha3 [69, 5] (w:1, o:93, a:1, s:1, b:1),
% 10.78/11.18 alpha4 [70, 5] (w:1, o:94, a:1, s:1, b:1),
% 10.78/11.18 alpha5 [71, 5] (w:1, o:95, a:1, s:1, b:1),
% 10.78/11.18 alpha6 [72, 5] (w:1, o:96, a:1, s:1, b:1),
% 10.78/11.18 skol1 [73, 4] (w:1, o:84, a:1, s:1, b:1),
% 10.78/11.18 skol2 [74, 4] (w:1, o:86, a:1, s:1, b:1),
% 10.78/11.18 skol3 [75, 4] (w:1, o:88, a:1, s:1, b:1),
% 10.78/11.18 skol4 [76, 4] (w:1, o:89, a:1, s:1, b:1),
% 10.78/11.18 skol5 [77, 4] (w:1, o:90, a:1, s:1, b:1),
% 10.78/11.18 skol6 [78, 6] (w:1, o:100, a:1, s:1, b:1),
% 10.78/11.18 skol7 [79, 2] (w:1, o:66, a:1, s:1, b:1),
% 10.78/11.18 skol8 [80, 4] (w:1, o:91, a:1, s:1, b:1),
% 10.78/11.18 skol9 [81, 4] (w:1, o:92, a:1, s:1, b:1),
% 10.78/11.18 skol10 [82, 3] (w:1, o:73, a:1, s:1, b:1),
% 10.78/11.18 skol11 [83, 3] (w:1, o:74, a:1, s:1, b:1),
% 10.78/11.18 skol12 [84, 2] (w:1, o:67, a:1, s:1, b:1),
% 10.78/11.18 skol13 [85, 5] (w:1, o:97, a:1, s:1, b:1),
% 10.78/11.18 skol14 [86, 3] (w:1, o:75, a:1, s:1, b:1),
% 10.78/11.18 skol15 [87, 3] (w:1, o:76, a:1, s:1, b:1),
% 10.78/11.18 skol16 [88, 3] (w:1, o:77, a:1, s:1, b:1),
% 10.78/11.18 skol17 [89, 2] (w:1, o:68, a:1, s:1, b:1),
% 10.78/11.18 skol18 [90, 2] (w:1, o:69, a:1, s:1, b:1),
% 10.78/11.18 skol19 [91, 4] (w:1, o:85, a:1, s:1, b:1),
% 10.78/11.18 skol20 [92, 0] (w:1, o:27, a:1, s:1, b:1),
% 10.78/11.18 skol21 [93, 4] (w:1, o:87, a:1, s:1, b:1),
% 10.78/11.18 skol22 [94, 0] (w:1, o:28, a:1, s:1, b:1),
% 10.78/11.18 skol23 [95, 0] (w:1, o:29, a:1, s:1, b:1),
% 10.78/11.18 skol24 [96, 0] (w:1, o:30, a:1, s:1, b:1),
% 10.78/11.18 skol25 [97, 0] (w:1, o:31, a:1, s:1, b:1),
% 10.78/11.18 skol26 [98, 0] (w:1, o:32, a:1, s:1, b:1),
% 10.78/11.18 skol27 [99, 0] (w:1, o:33, a:1, s:1, b:1),
% 10.78/11.18 skol28 [100, 0] (w:1, o:34, a:1, s:1, b:1),
% 10.78/11.18 skol29 [101, 0] (w:1, o:35, a:1, s:1, b:1),
% 10.78/11.18 skol30 [102, 0] (w:1, o:36, a:1, s:1, b:1).
% 10.78/11.18
% 10.78/11.18
% 10.78/11.18 Starting Search:
% 10.78/11.18
% 10.78/11.18 *** allocated 15000 integers for clauses
% 10.78/11.18 *** allocated 22500 integers for clauses
% 10.78/11.18 *** allocated 33750 integers for clauses
% 10.78/11.18 *** allocated 22500 integers for termspace/termends
% 10.78/11.18 *** allocated 50625 integers for clauses
% 10.78/11.18 Resimplifying inuse:
% 10.78/11.18 Done
% 10.78/11.18
% 10.78/11.18 *** allocated 75937 integers for clauses
% 10.78/11.18 *** allocated 33750 integers for termspace/termends
% 10.78/11.18 *** allocated 113905 integers for clauses
% 10.78/11.18 *** allocated 50625 integers for termspace/termends
% 10.78/11.18
% 10.78/11.18 Intermediate Status:
% 10.78/11.18 Generated: 19903
% 10.78/11.18 Kept: 2006
% 10.78/11.18 Inuse: 335
% 10.78/11.18 Deleted: 1
% 10.78/11.18 Deletedinuse: 1
% 10.78/11.18
% 10.78/11.18 Resimplifying inuse:
% 10.78/11.18 Done
% 10.78/11.18
% 10.78/11.18 *** allocated 170857 integers for clauses
% 10.78/11.18 *** allocated 75937 integers for termspace/termends
% 10.78/11.18 Resimplifying inuse:
% 10.78/11.18 Done
% 10.78/11.18
% 10.78/11.18 *** allocated 256285 integers for clauses
% 10.78/11.18 *** allocated 113905 integers for termspace/termends
% 10.78/11.18
% 10.78/11.18 Intermediate Status:
% 10.78/11.18 Generated: 35661
% 10.78/11.18 Kept: 4017
% 10.78/11.18 Inuse: 446
% 10.78/11.18 Deleted: 18
% 10.78/11.18 Deletedinuse: 1
% 10.78/11.18
% 10.78/11.18 Resimplifying inuse:
% 10.78/11.18 Done
% 10.78/11.18
% 10.78/11.18 Resimplifying inuse:
% 19.14/19.52 Done
% 19.14/19.52
% 19.14/19.52 *** allocated 384427 integers for clauses
% 19.14/19.52 *** allocated 170857 integers for termspace/termends
% 19.14/19.52
% 19.14/19.52 Intermediate Status:
% 19.14/19.52 Generated: 48303
% 19.14/19.52 Kept: 6116
% 19.14/19.52 Inuse: 514
% 19.14/19.52 Deleted: 19
% 19.14/19.52 Deletedinuse: 2
% 19.14/19.52
% 19.14/19.52 Resimplifying inuse:
% 19.14/19.52 Done
% 19.14/19.52
% 19.14/19.52 Resimplifying inuse:
% 19.14/19.52 Done
% 19.14/19.52
% 19.14/19.52 *** allocated 576640 integers for clauses
% 19.14/19.52
% 19.14/19.52 Intermediate Status:
% 19.14/19.52 Generated: 61317
% 19.14/19.52 Kept: 8129
% 19.14/19.52 Inuse: 665
% 19.14/19.52 Deleted: 21
% 19.14/19.52 Deletedinuse: 2
% 19.14/19.52
% 19.14/19.52 Resimplifying inuse:
% 19.14/19.52 Done
% 19.14/19.52
% 19.14/19.52 *** allocated 256285 integers for termspace/termends
% 19.14/19.52 Resimplifying inuse:
% 19.14/19.52 Done
% 19.14/19.52
% 19.14/19.52
% 19.14/19.52 Intermediate Status:
% 19.14/19.52 Generated: 84127
% 19.14/19.52 Kept: 10149
% 19.14/19.52 Inuse: 841
% 19.14/19.52 Deleted: 23
% 19.14/19.52 Deletedinuse: 3
% 19.14/19.52
% 19.14/19.52 Resimplifying inuse:
% 19.14/19.52 Done
% 19.14/19.52
% 19.14/19.52 Resimplifying inuse:
% 19.14/19.52 Done
% 19.14/19.52
% 19.14/19.52 *** allocated 864960 integers for clauses
% 19.14/19.52
% 19.14/19.52 Intermediate Status:
% 19.14/19.52 Generated: 96303
% 19.14/19.52 Kept: 12409
% 19.14/19.52 Inuse: 902
% 19.14/19.52 Deleted: 31
% 19.14/19.52 Deletedinuse: 7
% 19.14/19.52
% 19.14/19.52 Resimplifying inuse:
% 19.14/19.52 Done
% 19.14/19.52
% 19.14/19.52 Resimplifying inuse:
% 19.14/19.52 Done
% 19.14/19.52
% 19.14/19.52
% 19.14/19.52 Intermediate Status:
% 19.14/19.52 Generated: 104666
% 19.14/19.52 Kept: 14467
% 19.14/19.52 Inuse: 937
% 19.14/19.52 Deleted: 33
% 19.14/19.52 Deletedinuse: 9
% 19.14/19.52
% 19.14/19.52 Resimplifying inuse:
% 19.14/19.52 Done
% 19.14/19.52
% 19.14/19.52 *** allocated 384427 integers for termspace/termends
% 19.14/19.52 Resimplifying inuse:
% 19.14/19.52 Done
% 19.14/19.52
% 19.14/19.52
% 19.14/19.52 Intermediate Status:
% 19.14/19.52 Generated: 116549
% 19.14/19.52 Kept: 16472
% 19.14/19.52 Inuse: 1042
% 19.14/19.52 Deleted: 37
% 19.14/19.52 Deletedinuse: 9
% 19.14/19.52
% 19.14/19.52 Resimplifying inuse:
% 19.14/19.52 Done
% 19.14/19.52
% 19.14/19.52 Resimplifying inuse:
% 19.14/19.52 Done
% 19.14/19.52
% 19.14/19.52
% 19.14/19.52 Intermediate Status:
% 19.14/19.52 Generated: 129809
% 19.14/19.52 Kept: 18489
% 19.14/19.52 Inuse: 1163
% 19.14/19.52 Deleted: 44
% 19.14/19.52 Deletedinuse: 9
% 19.14/19.52
% 19.14/19.52 *** allocated 1297440 integers for clauses
% 19.14/19.52 Resimplifying inuse:
% 19.14/19.52 Done
% 19.14/19.52
% 19.14/19.52 Resimplifying inuse:
% 19.14/19.52 Done
% 19.14/19.52
% 19.14/19.52 Resimplifying clauses:
% 19.14/19.52 Done
% 19.14/19.52
% 19.14/19.52
% 19.14/19.52 Intermediate Status:
% 19.14/19.52 Generated: 142103
% 19.14/19.52 Kept: 20517
% 19.14/19.52 Inuse: 1262
% 19.14/19.52 Deleted: 1871
% 19.14/19.52 Deletedinuse: 21
% 19.14/19.52
% 19.14/19.52 Resimplifying inuse:
% 19.14/19.52 Done
% 19.14/19.52
% 19.14/19.52 Resimplifying inuse:
% 19.14/19.52 Done
% 19.14/19.52
% 19.14/19.52
% 19.14/19.52 Intermediate Status:
% 19.14/19.52 Generated: 158646
% 19.14/19.52 Kept: 22520
% 19.14/19.52 Inuse: 1412
% 19.14/19.52 Deleted: 2235
% 19.14/19.52 Deletedinuse: 155
% 19.14/19.52
% 19.14/19.52 Resimplifying inuse:
% 19.14/19.52 Done
% 19.14/19.52
% 19.14/19.52 Resimplifying inuse:
% 19.14/19.52 Done
% 19.14/19.52
% 19.14/19.52
% 19.14/19.52 Intermediate Status:
% 19.14/19.52 Generated: 171052
% 19.14/19.52 Kept: 24521
% 19.14/19.52 Inuse: 1599
% 19.14/19.52 Deleted: 3585
% 19.14/19.52 Deletedinuse: 1080
% 19.14/19.52
% 19.14/19.52 Resimplifying inuse:
% 19.14/19.52 Done
% 19.14/19.52
% 19.14/19.52 *** allocated 576640 integers for termspace/termends
% 19.14/19.52 Resimplifying inuse:
% 19.14/19.52 Done
% 19.14/19.52
% 19.14/19.52
% 19.14/19.52 Intermediate Status:
% 19.14/19.52 Generated: 182384
% 19.14/19.52 Kept: 26526
% 19.14/19.52 Inuse: 1775
% 19.14/19.52 Deleted: 3615
% 19.14/19.52 Deletedinuse: 1080
% 19.14/19.52
% 19.14/19.52 Resimplifying inuse:
% 19.14/19.52 Done
% 19.14/19.52
% 19.14/19.52 *** allocated 1946160 integers for clauses
% 19.14/19.52 Resimplifying inuse:
% 19.14/19.52 Done
% 19.14/19.52
% 19.14/19.52
% 19.14/19.52 Intermediate Status:
% 19.14/19.52 Generated: 210292
% 19.14/19.52 Kept: 28531
% 19.14/19.52 Inuse: 1927
% 19.14/19.52 Deleted: 4308
% 19.14/19.52 Deletedinuse: 1085
% 19.14/19.52
% 19.14/19.52 Resimplifying inuse:
% 19.14/19.52 Done
% 19.14/19.52
% 19.14/19.52 Resimplifying inuse:
% 19.14/19.52 Done
% 19.14/19.52
% 19.14/19.52
% 19.14/19.52 Intermediate Status:
% 19.14/19.52 Generated: 221547
% 19.14/19.52 Kept: 30549
% 19.14/19.52 Inuse: 2037
% 19.14/19.52 Deleted: 4814
% 19.14/19.52 Deletedinuse: 1094
% 19.14/19.52
% 19.14/19.52 Resimplifying inuse:
% 19.14/19.52 Done
% 19.14/19.52
% 19.14/19.52 Resimplifying inuse:
% 19.14/19.52 Done
% 19.14/19.52
% 19.14/19.52
% 19.14/19.52 Intermediate Status:
% 19.14/19.52 Generated: 242176
% 19.14/19.52 Kept: 32576
% 19.14/19.52 Inuse: 2122
% 19.14/19.52 Deleted: 5524
% 19.14/19.52 Deletedinuse: 1094
% 19.14/19.52
% 19.14/19.52 Resimplifying inuse:
% 19.14/19.52 Done
% 19.14/19.52
% 19.14/19.52 Resimplifying inuse:
% 19.14/19.52 Done
% 19.14/19.52
% 19.14/19.52
% 19.14/19.52 Intermediate Status:
% 19.14/19.52 Generated: 251663
% 19.14/19.52 Kept: 34593
% 19.14/19.52 Inuse: 2207
% 19.14/19.52 Deleted: 5935
% 19.14/19.52 Deletedinuse: 1094
% 19.14/19.52
% 19.14/19.52 Resimplifying inuse:
% 19.14/19.52 Done
% 19.14/19.52
% 19.14/19.52 Resimplifying inuse:
% 19.14/19.52 Done
% 19.14/19.52
% 19.14/19.52
% 19.14/19.52 Intermediate Status:
% 19.14/19.52 Generated: 261697
% 19.14/19.52 Kept: 36603
% 19.14/19.52 Inuse: 2301
% 19.14/19.52 Deleted: 5958
% 19.14/19.52 Deletedinuse: 1094
% 19.14/19.52
% 19.14/19.52 Resimplifying inuse:
% 19.14/19.52 Done
% 19.14/19.52
% 19.14/19.52 Resimplifying inuse:
% 19.14/19.52 Done
% 19.14/19.52
% 19.14/19.52
% 19.14/19.52 Intermediate Status:
% 19.14/19.52 Generated: 272248
% 19.14/19.52 Kept: 38603
% 19.14/19.52 Inuse: 2421
% 19.14/19.52 Deleted: 6011
% 19.14/19.52 Deletedinuse: 1094
% 19.14/19.52
% 19.14/19.52 *** allocated 864960 integers for termspace/termends
% 19.14/19.52 Resimplifying inuse:
% 19.14/19.52 Done
% 19.14/19.52
% 19.14/19.52 Resimplifying inuse:
% 19.14/19.52 Done
% 19.14/19.52
% 19.14/19.52 Resimplifying clauses:
% 19.14/19.52 Done
% 19.14/19.52
% 19.14/19.52 *** allocated 2919240 integers for clauses
% 19.14/19.52
% 19.14/19.52 Intermediate Status:
% 19.14/19.52 Generated: 284391
% 19.14/19.52 Kept: 40628
% 19.14/19.52 Inuse: 2597
% 19.14/19.52 Deleted: 19714
% 19.14/19.52 Deletedinuse: 1103
% 19.14/19.52
% 19.14/19.52 Resimplifying inuse:
% 19.14/19.52 Done
% 19.14/19.52
% 19.14/19.52 Resimplifying inuse:
% 19.14/19.52 Done
% 19.14/19.52
% 19.14/19.52
% 19.14/19.52 Intermediate Status:
% 19.14/19.52 Generated: 299399
% 19.14/19.52 Kept: 42628
% 19.14/19.52 Inuse: 2684
% 19.14/19.52 Deleted: 19761
% 19.14/19.52 Deletedinuse: 1150
% 19.14/19.52
% 19.14/19.52 Resimplifying inuse:
% 19.14/19.52 Done
% 19.14/19.52
% 19.14/19.52 Resimplifying inuse:
% 19.14/19.52 Done
% 19.14/19.52
% 19.14/19.52
% 19.14/19.52 Intermediate Status:
% 19.14/19.52 Generated: 313752
% 19.14/19.52 Kept: 44839
% 19.14/19.52 Inuse: 2731
% 19.14/19.52 Deleted: 19790
% 19.14/19.52 Deletedinuse: 1179
% 19.14/19.52
% 19.14/19.52 Resimplifying inuse:
% 19.14/19.52 Done
% 19.14/19.52
% 19.14/19.52 Resimplifying inuse:
% 19.14/19.52 Done
% 19.14/19.52
% 19.14/19.52
% 19.14/19.52 Intermediate Status:
% 19.14/19.52 Generated: 331828
% 19.14/19.52 Kept: 46851
% 19.14/19.52 Inuse: 2809
% 19.14/19.52 Deleted: 19832
% 19.14/19.52 Deletedinuse: 1218
% 19.14/19.52
% 19.14/19.52 Resimplifying inuse:
% 19.14/19.52 Done
% 19.14/19.52
% 19.14/19.52 Resimplifying inuse:
% 19.14/19.52 Done
% 19.14/19.52
% 19.14/19.52
% 19.14/19.52 Intermediate Status:
% 19.14/19.52 Generated: 341303
% 19.14/19.52 Kept: 48865
% 19.14/19.52 Inuse: 2856
% 19.14/19.52 Deleted: 19836
% 19.14/19.52 Deletedinuse: 1218
% 19.14/19.52
% 19.14/19.52 Resimplifying inuse:
% 19.14/19.52 Done
% 19.14/19.52
% 19.14/19.52 Resimplifying inuse:
% 19.14/19.52 Done
% 19.14/19.52
% 19.14/19.52
% 19.14/19.52 Intermediate Status:
% 19.14/19.52 Generated: 368768
% 19.14/19.52 Kept: 50875
% 19.14/19.52 Inuse: 2959
% 19.14/19.52 Deleted: 19875
% 19.14/19.52 Deletedinuse: 1218
% 19.14/19.52
% 19.14/19.52 Resimplifying inuse:
% 19.14/19.52 Done
% 19.14/19.52
% 19.14/19.52 Resimplifying inuse:
% 19.14/19.52 Done
% 19.14/19.52
% 19.14/19.52
% 19.14/19.52 Intermediate Status:
% 19.14/19.52 Generated: 387653
% 19.14/19.52 Kept: 52877
% 19.14/19.52 Inuse: 3094
% 19.14/19.52 Deleted: 19891
% 19.14/19.52 Deletedinuse: 1220
% 19.14/19.52
% 19.14/19.52 Resimplifying inuse:
% 19.14/19.52 Done
% 19.14/19.52
% 19.14/19.52 Resimplifying inuse:
% 19.14/19.52 Done
% 19.14/19.52
% 19.14/19.52
% 19.14/19.52 Intermediate Status:
% 19.14/19.52 Generated: 407522
% 19.14/19.52 Kept: 54883
% 19.14/19.52 Inuse: 3229
% 19.14/19.52 Deleted: 19898
% 19.14/19.52 Deletedinuse: 1227
% 19.14/19.52
% 19.14/19.52 Resimplifying inuse:
% 19.14/19.52 Done
% 19.14/19.52
% 19.14/19.52 Resimplifying inuse:
% 19.14/19.52 Done
% 19.14/19.52
% 19.14/19.52
% 19.14/19.52 Intermediate Status:
% 19.14/19.52 Generated: 418765
% 19.14/19.52 Kept: 57750
% 19.14/19.52 Inuse: 3265
% 19.14/19.52 Deleted: 19899
% 19.14/19.52 Deletedinuse: 1227
% 19.14/19.52
% 19.14/19.52 Resimplifying inuse:
% 19.14/19.52 Done
% 19.14/19.52
% 19.14/19.52 Resimplifying inuse:
% 19.14/19.52 Done
% 19.14/19.52
% 19.14/19.52 *** allocated 1297440 integers for termspace/termends
% 19.14/19.52
% 19.14/19.52 Intermediate Status:
% 19.14/19.52 Generated: 438842
% 19.14/19.52 Kept: 59767
% 19.14/19.52 Inuse: 3347
% 19.14/19.52 Deleted: 20279
% 19.14/19.52 Deletedinuse: 1593
% 19.14/19.52
% 19.14/19.52 Resimplifying inuse:
% 19.14/19.52 Done
% 19.14/19.52
% 19.14/19.52 Resimplifying clauses:
% 19.14/19.52 Done
% 19.14/19.52
% 19.14/19.52 Resimplifying inuse:
% 19.14/19.52 Done
% 19.14/19.52
% 19.14/19.52 *** allocated 4378860 integers for clauses
% 19.14/19.52
% 19.14/19.52 Bliksems!, er is een bewijs:
% 19.14/19.52 % SZS status Theorem
% 19.14/19.52 % SZS output start Refutation
% 19.14/19.52
% 19.14/19.52 (0) {G0,W8,D2,L2,V3,M2} I { ! coll( X, Y, Z ), coll( X, Z, Y ) }.
% 19.14/19.52 (1) {G0,W8,D2,L2,V3,M2} I { ! coll( X, Y, Z ), coll( Y, X, Z ) }.
% 19.14/19.52 (2) {G0,W12,D2,L3,V4,M3} I { ! coll( X, T, Y ), ! coll( X, T, Z ), coll( Y
% 19.14/19.52 , Z, X ) }.
% 19.14/19.52 (3) {G0,W10,D2,L2,V4,M2} I { ! para( X, Y, Z, T ), para( X, Y, T, Z ) }.
% 19.14/19.52 (4) {G0,W10,D2,L2,V4,M2} I { ! para( X, Y, Z, T ), para( Z, T, X, Y ) }.
% 19.14/19.52 (7) {G0,W10,D2,L2,V4,M2} I { ! perp( X, Y, Z, T ), perp( Z, T, X, Y ) }.
% 19.14/19.52 (8) {G0,W15,D2,L3,V6,M3} I { ! perp( X, Y, U, W ), ! perp( U, W, Z, T ),
% 19.14/19.52 para( X, Y, Z, T ) }.
% 19.14/19.52 (9) {G0,W15,D2,L3,V6,M3} I { ! para( X, Y, U, W ), ! perp( U, W, Z, T ),
% 19.14/19.52 perp( X, Y, Z, T ) }.
% 19.14/19.52 (10) {G0,W8,D2,L2,V3,M2} I { ! midp( Z, Y, X ), midp( Z, X, Y ) }.
% 19.14/19.52 (14) {G0,W10,D2,L2,V4,M2} I { ! cyclic( X, Y, Z, T ), cyclic( X, Z, Y, T )
% 19.14/19.52 }.
% 19.14/19.52 (15) {G0,W10,D2,L2,V4,M2} I { ! cyclic( X, Y, Z, T ), cyclic( Y, X, Z, T )
% 19.14/19.52 }.
% 19.14/19.52 (18) {G0,W18,D2,L2,V8,M2} I { ! eqangle( X, Y, Z, T, U, W, V0, V1 ),
% 19.14/19.52 eqangle( Z, T, X, Y, V0, V1, U, W ) }.
% 19.14/19.52 (20) {G0,W18,D2,L2,V8,M2} I { ! eqangle( X, Y, Z, T, U, W, V0, V1 ),
% 19.14/19.52 eqangle( X, Y, U, W, Z, T, V0, V1 ) }.
% 19.14/19.52 (21) {G0,W27,D2,L3,V12,M3} I { ! eqangle( X, Y, Z, T, V2, V3, V4, V5 ), !
% 19.14/19.52 eqangle( V2, V3, V4, V5, U, W, V0, V1 ), eqangle( X, Y, Z, T, U, W, V0,
% 19.14/19.52 V1 ) }.
% 19.14/19.52 (39) {G0,W14,D2,L2,V6,M2} I { ! para( X, Y, Z, T ), eqangle( X, Y, U, W, Z
% 19.14/19.52 , T, U, W ) }.
% 19.14/19.52 (40) {G0,W14,D2,L2,V4,M2} I { ! cyclic( X, Y, Z, T ), eqangle( Z, X, Z, Y,
% 19.14/19.52 T, X, T, Y ) }.
% 19.14/19.52 (42) {G0,W18,D2,L3,V4,M3} I { ! eqangle( Z, X, Z, Y, T, X, T, Y ), ! coll(
% 19.14/19.52 Z, T, Y ), cyclic( X, Y, Z, T ) }.
% 19.14/19.52 (43) {G0,W29,D2,L5,V6,M5} I { ! cyclic( X, Y, U, Z ), ! cyclic( X, Y, U, T
% 19.14/19.52 ), ! cyclic( X, Y, U, W ), ! eqangle( U, X, U, Y, W, Z, W, T ), cong( X
% 19.14/19.52 , Y, Z, T ) }.
% 19.14/19.52 (56) {G0,W15,D2,L3,V4,M3} I { ! cong( X, Z, Y, Z ), ! cong( X, T, Y, T ),
% 19.14/19.52 perp( X, Y, Z, T ) }.
% 19.14/19.52 (63) {G0,W13,D2,L3,V5,M3} I { ! midp( U, X, Y ), ! midp( U, Z, T ), para( X
% 19.14/19.52 , Z, Y, T ) }.
% 19.14/19.52 (69) {G0,W8,D2,L2,V3,M2} I { ! midp( X, Y, Z ), coll( X, Y, Z ) }.
% 19.14/19.52 (88) {G0,W22,D3,L5,V7,M5} I { ! midp( Z, X, Y ), ! midp( W, T, U ), ! coll
% 19.14/19.52 ( T, X, Y ), ! coll( U, X, Y ), midp( skol7( X, V0 ), X, V0 ) }.
% 19.14/19.52 (117) {G0,W4,D2,L1,V0,M1} I { midp( skol27, skol26, skol20 ) }.
% 19.14/19.52 (123) {G0,W24,D2,L3,V0,M3} I { alpha3( skol20, skol22, skol23, skol24,
% 19.14/19.52 skol25 ), ! eqangle( skol23, skol20, skol20, skol24, skol20, skol25,
% 19.14/19.52 skol25, skol22 ), ! eqangle( skol20, skol23, skol23, skol24, skol20,
% 19.14/19.52 skol22, skol22, skol25 ) }.
% 19.14/19.52 (125) {G0,W21,D2,L3,V5,M3} I { ! alpha3( X, Y, Z, T, U ), alpha4( X, Y, Z,
% 19.14/19.52 T, U ), ! eqangle( Z, X, X, T, X, U, U, Y ) }.
% 19.14/19.52 (129) {G0,W21,D2,L3,V5,M3} I { ! alpha4( X, Y, Z, T, U ), alpha5( X, Y, Z,
% 19.14/19.52 T, U ), ! eqangle( Z, X, X, T, X, Y, Y, U ) }.
% 19.14/19.52 (133) {G0,W21,D2,L3,V5,M3} I { ! alpha5( X, Y, Z, T, U ), alpha6( X, Y, Z,
% 19.14/19.52 T, U ), ! eqangle( Z, X, X, T, X, Y, Y, U ) }.
% 19.14/19.52 (137) {G0,W15,D2,L2,V5,M2} I;f { ! alpha6( X, Y, Z, T, U ), ! eqangle( Z, X
% 19.14/19.52 , X, T, Y, X, X, U ) }.
% 19.14/19.52 (161) {G1,W18,D3,L4,V4,M4} F(88) { ! midp( X, Y, Z ), ! coll( Y, Y, Z ), !
% 19.14/19.52 coll( Z, Y, Z ), midp( skol7( Y, T ), Y, T ) }.
% 19.14/19.52 (182) {G1,W4,D2,L1,V0,M1} R(69,117) { coll( skol27, skol26, skol20 ) }.
% 19.14/19.52 (213) {G1,W12,D2,L3,V4,M3} R(2,0) { ! coll( X, Y, Z ), ! coll( X, Y, T ),
% 19.14/19.52 coll( Z, X, T ) }.
% 19.14/19.52 (218) {G2,W8,D2,L2,V3,M2} F(213) { ! coll( X, Y, Z ), coll( Z, X, Z ) }.
% 19.14/19.52 (232) {G2,W4,D2,L1,V0,M1} R(182,1) { coll( skol26, skol27, skol20 ) }.
% 19.14/19.52 (236) {G3,W4,D2,L1,V0,M1} R(232,0) { coll( skol26, skol20, skol27 ) }.
% 19.14/19.52 (239) {G4,W4,D2,L1,V0,M1} R(236,1) { coll( skol20, skol26, skol27 ) }.
% 19.14/19.52 (242) {G5,W4,D2,L1,V0,M1} R(239,0) { coll( skol20, skol27, skol26 ) }.
% 19.14/19.52 (244) {G1,W10,D2,L2,V4,M2} R(4,3) { ! para( X, Y, Z, T ), para( Z, T, Y, X
% 19.14/19.52 ) }.
% 19.14/19.52 (251) {G6,W4,D2,L1,V0,M1} R(218,242) { coll( skol26, skol20, skol26 ) }.
% 19.14/19.52 (254) {G3,W4,D2,L1,V0,M1} R(218,232) { coll( skol20, skol26, skol20 ) }.
% 19.14/19.52 (260) {G3,W12,D2,L3,V4,M3} R(218,2) { coll( X, Y, X ), ! coll( X, Z, Y ), !
% 19.14/19.52 coll( X, Z, T ) }.
% 19.14/19.52 (274) {G4,W8,D2,L2,V3,M2} F(260) { coll( X, Y, X ), ! coll( X, Z, Y ) }.
% 19.14/19.52 (292) {G7,W4,D2,L1,V0,M1} R(251,0) { coll( skol26, skol26, skol20 ) }.
% 19.14/19.52 (315) {G1,W15,D2,L3,V6,M3} R(8,4) { ! perp( X, Y, Z, T ), ! perp( Z, T, U,
% 19.14/19.52 W ), para( U, W, X, Y ) }.
% 19.14/19.52 (325) {G4,W4,D2,L1,V0,M1} R(254,0) { coll( skol20, skol20, skol26 ) }.
% 19.14/19.52 (330) {G1,W15,D2,L3,V6,M3} R(9,7) { ! para( X, Y, Z, T ), perp( X, Y, U, W
% 19.14/19.52 ), ! perp( U, W, Z, T ) }.
% 19.14/19.52 (343) {G1,W4,D2,L1,V0,M1} R(10,117) { midp( skol27, skol20, skol26 ) }.
% 19.14/19.52 (383) {G1,W10,D2,L2,V4,M2} R(15,14) { cyclic( X, Y, Z, T ), ! cyclic( Y, Z
% 19.14/19.52 , X, T ) }.
% 19.14/19.52 (384) {G1,W10,D2,L2,V4,M2} R(15,14) { ! cyclic( X, Y, Z, T ), cyclic( Y, Z
% 19.14/19.52 , X, T ) }.
% 19.14/19.52 (461) {G1,W27,D2,L3,V12,M3} R(21,20) { ! eqangle( X, Y, Z, T, U, W, V0, V1
% 19.14/19.52 ), eqangle( X, Y, Z, T, V2, V3, V4, V5 ), ! eqangle( U, W, V2, V3, V0,
% 19.14/19.52 V1, V4, V5 ) }.
% 19.14/19.52 (473) {G5,W8,D2,L2,V3,M2} R(274,1) { ! coll( X, Y, Z ), coll( Z, X, X ) }.
% 19.14/19.52 (487) {G6,W8,D2,L2,V3,M2} R(473,1) { coll( X, Y, Y ), ! coll( Z, Y, X ) }.
% 19.14/19.52 (490) {G7,W8,D2,L2,V3,M2} R(487,473) { ! coll( X, Y, Z ), coll( Y, Z, Z )
% 19.14/19.52 }.
% 19.14/19.52 (494) {G8,W8,D2,L2,V3,M2} R(490,69) { coll( X, Y, Y ), ! midp( Z, X, Y )
% 19.14/19.52 }.
% 19.14/19.52 (495) {G9,W8,D2,L2,V3,M2} R(494,274) { ! midp( X, Y, Z ), coll( Y, Z, Y )
% 19.14/19.52 }.
% 19.14/19.52 (508) {G10,W8,D2,L2,V3,M2} R(495,0) { ! midp( X, Y, Z ), coll( Y, Y, Z )
% 19.14/19.52 }.
% 19.14/19.52 (786) {G1,W14,D2,L2,V6,M2} R(39,20) { ! para( X, Y, Z, T ), eqangle( X, Y,
% 19.14/19.52 Z, T, U, W, U, W ) }.
% 19.14/19.52 (788) {G1,W14,D2,L2,V6,M2} R(39,18) { ! para( X, Y, Z, T ), eqangle( U, W,
% 19.14/19.52 X, Y, U, W, Z, T ) }.
% 19.14/19.52 (843) {G1,W14,D2,L3,V3,M3} R(42,39) { ! coll( X, X, Y ), cyclic( Z, Y, X, X
% 19.14/19.52 ), ! para( X, Z, X, Z ) }.
% 19.14/19.52 (947) {G1,W20,D2,L4,V4,M4} R(43,40);f { ! cyclic( X, Y, Z, X ), ! cyclic( X
% 19.14/19.52 , Y, Z, Y ), ! cyclic( X, Y, Z, T ), cong( X, Y, X, Y ) }.
% 19.14/19.52 (979) {G2,W15,D2,L3,V3,M3} F(947) { ! cyclic( X, Y, Z, X ), ! cyclic( X, Y
% 19.14/19.52 , Z, Y ), cong( X, Y, X, Y ) }.
% 19.14/19.52 (1632) {G1,W20,D2,L4,V6,M4} R(56,8) { ! cong( X, Y, Z, Y ), ! cong( X, T, Z
% 19.14/19.52 , T ), ! perp( U, W, X, Z ), para( U, W, Y, T ) }.
% 19.14/19.52 (1633) {G1,W15,D2,L3,V4,M3} R(56,7) { ! cong( X, Y, Z, Y ), ! cong( X, T, Z
% 19.14/19.52 , T ), perp( Y, T, X, Z ) }.
% 19.14/19.52 (1635) {G2,W15,D2,L3,V5,M3} F(1632) { ! cong( X, Y, Z, Y ), ! perp( T, U, X
% 19.14/19.52 , Z ), para( T, U, Y, Y ) }.
% 19.14/19.52 (1850) {G1,W13,D2,L3,V5,M3} R(63,10) { ! midp( X, Y, Z ), para( Y, T, Z, U
% 19.14/19.52 ), ! midp( X, U, T ) }.
% 19.14/19.52 (1862) {G2,W9,D2,L2,V3,M2} F(1850) { ! midp( X, Y, Z ), para( Y, Z, Z, Y )
% 19.14/19.52 }.
% 19.14/19.52 (8878) {G5,W10,D3,L2,V1,M2} R(161,343);r(325) { ! coll( skol26, skol20,
% 19.14/19.52 skol26 ), midp( skol7( skol20, X ), skol20, X ) }.
% 19.14/19.52 (8888) {G8,W10,D3,L2,V1,M2} R(161,117);r(292) { ! coll( skol20, skol26,
% 19.14/19.52 skol20 ), midp( skol7( skol26, X ), skol26, X ) }.
% 19.14/19.52 (20027) {G7,W6,D3,L1,V1,M1} S(8878);r(251) { midp( skol7( skol20, X ),
% 19.14/19.52 skol20, X ) }.
% 19.14/19.52 (20028) {G9,W6,D3,L1,V1,M1} S(8888);r(254) { midp( skol7( skol26, X ),
% 19.14/19.52 skol26, X ) }.
% 19.14/19.52 (21686) {G11,W4,D2,L1,V1,M1} R(20027,508) { coll( skol20, skol20, X ) }.
% 19.14/19.52 (21768) {G12,W4,D2,L1,V2,M1} R(21686,213);r(21686) { coll( Y, skol20, X )
% 19.14/19.52 }.
% 19.14/19.52 (21779) {G13,W4,D2,L1,V3,M1} R(21768,213);r(21768) { coll( Z, X, Y ) }.
% 19.14/19.52 (21895) {G10,W6,D3,L1,V1,M1} R(20028,10) { midp( skol7( skol26, X ), X,
% 19.14/19.52 skol26 ) }.
% 19.14/19.52 (21939) {G14,W10,D3,L2,V2,M2} R(21895,161);r(21779) { ! coll( skol26, X,
% 19.14/19.52 skol26 ), midp( skol7( X, Y ), X, Y ) }.
% 19.14/19.52 (27668) {G14,W10,D2,L2,V3,M2} S(843);r(21779) { cyclic( Z, Y, X, X ), !
% 19.14/19.52 para( X, Z, X, Z ) }.
% 19.14/19.52 (40075) {G15,W6,D3,L1,V2,M1} S(21939);r(21779) { midp( skol7( X, Y ), X, Y
% 19.14/19.52 ) }.
% 19.14/19.52 (41085) {G16,W6,D3,L1,V2,M1} R(40075,10) { midp( skol7( X, Y ), Y, X ) }.
% 19.14/19.52 (58407) {G17,W5,D2,L1,V2,M1} R(1862,41085) { para( X, Y, Y, X ) }.
% 19.14/19.52 (58420) {G18,W5,D2,L1,V2,M1} R(58407,244) { para( X, Y, X, Y ) }.
% 19.14/19.52 (60293) {G19,W5,D2,L1,V3,M1} S(27668);r(58420) { cyclic( Z, Y, X, X ) }.
% 19.14/19.52 (60358) {G20,W5,D2,L1,V3,M1} R(60293,384) { cyclic( X, Y, Z, Y ) }.
% 19.14/19.52 (60359) {G20,W5,D2,L1,V3,M1} R(60293,383) { cyclic( X, Y, Z, X ) }.
% 19.14/19.52 (60373) {G21,W5,D2,L1,V2,M1} R(60358,979);r(60359) { cong( X, Y, X, Y ) }.
% 19.14/19.52 (60745) {G22,W5,D2,L1,V3,M1} R(60373,1633);r(60373) { perp( Z, Y, X, X )
% 19.14/19.52 }.
% 19.14/19.52 (60770) {G23,W5,D2,L1,V3,M1} R(60745,1635);r(60373) { para( Z, T, Y, Y )
% 19.14/19.52 }.
% 19.14/19.52 (60775) {G24,W5,D2,L1,V4,M1} R(60745,330);r(60770) { perp( X, Y, T, U ) }.
% 19.14/19.52 (60777) {G25,W5,D2,L1,V4,M1} R(60745,315);r(60775) { para( Y, Z, T, U ) }.
% 19.14/19.52 (60801) {G26,W9,D2,L1,V6,M1} R(60777,788) { eqangle( X, Y, Z, T, X, Y, U, W
% 19.14/19.52 ) }.
% 19.14/19.52 (60802) {G26,W9,D2,L1,V6,M1} R(60777,786) { eqangle( X, Y, Z, T, U, W, U, W
% 19.14/19.52 ) }.
% 19.14/19.52 (61187) {G27,W9,D2,L1,V8,M1} R(60801,461);r(60802) { eqangle( X, Y, Z, T,
% 19.14/19.52 V0, V1, V2, V3 ) }.
% 19.14/19.52 (61197) {G28,W6,D2,L1,V5,M1} R(61187,137) { ! alpha6( X, Y, Z, T, U ) }.
% 19.14/19.52 (61198) {G29,W6,D2,L1,V5,M1} R(61187,133);r(61197) { ! alpha5( X, Y, Z, T,
% 19.14/19.52 U ) }.
% 19.14/19.52 (61199) {G30,W6,D2,L1,V5,M1} R(61187,129);r(61198) { ! alpha4( X, Y, Z, T,
% 19.14/19.52 U ) }.
% 19.14/19.52 (61200) {G31,W6,D2,L1,V5,M1} R(61187,125);r(61199) { ! alpha3( X, Y, Z, T,
% 19.14/19.52 U ) }.
% 19.14/19.52 (61201) {G32,W9,D2,L1,V0,M1} R(61187,123);r(61200) { ! eqangle( skol20,
% 19.14/19.52 skol23, skol23, skol24, skol20, skol22, skol22, skol25 ) }.
% 19.14/19.52 (61204) {G33,W0,D0,L0,V0,M0} S(61201);r(61187) { }.
% 19.14/19.52
% 19.14/19.52
% 19.14/19.52 % SZS output end Refutation
% 19.14/19.52 found a proof!
% 19.14/19.52
% 19.14/19.52
% 19.14/19.52 Unprocessed initial clauses:
% 19.14/19.52
% 19.14/19.52 (61206) {G0,W8,D2,L2,V3,M2} { ! coll( X, Y, Z ), coll( X, Z, Y ) }.
% 19.14/19.52 (61207) {G0,W8,D2,L2,V3,M2} { ! coll( X, Y, Z ), coll( Y, X, Z ) }.
% 19.14/19.52 (61208) {G0,W12,D2,L3,V4,M3} { ! coll( X, T, Y ), ! coll( X, T, Z ), coll
% 19.14/19.52 ( Y, Z, X ) }.
% 19.14/19.52 (61209) {G0,W10,D2,L2,V4,M2} { ! para( X, Y, Z, T ), para( X, Y, T, Z )
% 19.14/19.52 }.
% 19.14/19.52 (61210) {G0,W10,D2,L2,V4,M2} { ! para( X, Y, Z, T ), para( Z, T, X, Y )
% 19.14/19.52 }.
% 19.14/19.52 (61211) {G0,W15,D2,L3,V6,M3} { ! para( X, Y, U, W ), ! para( U, W, Z, T )
% 19.14/19.52 , para( X, Y, Z, T ) }.
% 19.14/19.52 (61212) {G0,W10,D2,L2,V4,M2} { ! perp( X, Y, Z, T ), perp( X, Y, T, Z )
% 19.14/19.52 }.
% 19.14/19.52 (61213) {G0,W10,D2,L2,V4,M2} { ! perp( X, Y, Z, T ), perp( Z, T, X, Y )
% 19.14/19.52 }.
% 19.14/19.52 (61214) {G0,W15,D2,L3,V6,M3} { ! perp( X, Y, U, W ), ! perp( U, W, Z, T )
% 19.14/19.52 , para( X, Y, Z, T ) }.
% 19.14/19.52 (61215) {G0,W15,D2,L3,V6,M3} { ! para( X, Y, U, W ), ! perp( U, W, Z, T )
% 19.14/19.52 , perp( X, Y, Z, T ) }.
% 19.14/19.52 (61216) {G0,W8,D2,L2,V3,M2} { ! midp( Z, Y, X ), midp( Z, X, Y ) }.
% 19.14/19.52 (61217) {G0,W15,D2,L3,V4,M3} { ! cong( T, X, T, Y ), ! cong( T, X, T, Z )
% 19.14/19.52 , circle( T, X, Y, Z ) }.
% 19.14/19.52 (61218) {G0,W20,D2,L4,V5,M4} { ! cong( U, X, U, Y ), ! cong( U, X, U, Z )
% 19.14/19.52 , ! cong( U, X, U, T ), cyclic( X, Y, Z, T ) }.
% 19.14/19.52 (61219) {G0,W10,D2,L2,V4,M2} { ! cyclic( X, Y, Z, T ), cyclic( X, Y, T, Z
% 19.14/19.52 ) }.
% 19.14/19.52 (61220) {G0,W10,D2,L2,V4,M2} { ! cyclic( X, Y, Z, T ), cyclic( X, Z, Y, T
% 19.14/19.52 ) }.
% 19.14/19.52 (61221) {G0,W10,D2,L2,V4,M2} { ! cyclic( X, Y, Z, T ), cyclic( Y, X, Z, T
% 19.14/19.52 ) }.
% 19.14/19.52 (61222) {G0,W15,D2,L3,V5,M3} { ! cyclic( U, X, Y, Z ), ! cyclic( U, X, Y,
% 19.14/19.52 T ), cyclic( X, Y, Z, T ) }.
% 19.14/19.52 (61223) {G0,W18,D2,L2,V8,M2} { ! eqangle( X, Y, Z, T, U, W, V0, V1 ),
% 19.14/19.52 eqangle( Y, X, Z, T, U, W, V0, V1 ) }.
% 19.14/19.52 (61224) {G0,W18,D2,L2,V8,M2} { ! eqangle( X, Y, Z, T, U, W, V0, V1 ),
% 19.14/19.52 eqangle( Z, T, X, Y, V0, V1, U, W ) }.
% 19.14/19.52 (61225) {G0,W18,D2,L2,V8,M2} { ! eqangle( X, Y, Z, T, U, W, V0, V1 ),
% 19.14/19.52 eqangle( U, W, V0, V1, X, Y, Z, T ) }.
% 19.14/19.52 (61226) {G0,W18,D2,L2,V8,M2} { ! eqangle( X, Y, Z, T, U, W, V0, V1 ),
% 19.14/19.52 eqangle( X, Y, U, W, Z, T, V0, V1 ) }.
% 19.14/19.52 (61227) {G0,W27,D2,L3,V12,M3} { ! eqangle( X, Y, Z, T, V2, V3, V4, V5 ), !
% 19.14/19.52 eqangle( V2, V3, V4, V5, U, W, V0, V1 ), eqangle( X, Y, Z, T, U, W, V0,
% 19.14/19.52 V1 ) }.
% 19.14/19.52 (61228) {G0,W10,D2,L2,V4,M2} { ! cong( X, Y, Z, T ), cong( X, Y, T, Z )
% 19.14/19.52 }.
% 19.14/19.52 (61229) {G0,W10,D2,L2,V4,M2} { ! cong( X, Y, Z, T ), cong( Z, T, X, Y )
% 19.14/19.52 }.
% 19.14/19.52 (61230) {G0,W15,D2,L3,V6,M3} { ! cong( X, Y, U, W ), ! cong( U, W, Z, T )
% 19.14/19.52 , cong( X, Y, Z, T ) }.
% 19.14/19.52 (61231) {G0,W18,D2,L2,V8,M2} { ! eqratio( X, Y, Z, T, U, W, V0, V1 ),
% 19.14/19.52 eqratio( Y, X, Z, T, U, W, V0, V1 ) }.
% 19.14/19.52 (61232) {G0,W18,D2,L2,V8,M2} { ! eqratio( X, Y, Z, T, U, W, V0, V1 ),
% 19.14/19.52 eqratio( Z, T, X, Y, V0, V1, U, W ) }.
% 19.14/19.52 (61233) {G0,W18,D2,L2,V8,M2} { ! eqratio( X, Y, Z, T, U, W, V0, V1 ),
% 19.14/19.52 eqratio( U, W, V0, V1, X, Y, Z, T ) }.
% 19.14/19.52 (61234) {G0,W18,D2,L2,V8,M2} { ! eqratio( X, Y, Z, T, U, W, V0, V1 ),
% 19.14/19.52 eqratio( X, Y, U, W, Z, T, V0, V1 ) }.
% 19.14/19.52 (61235) {G0,W27,D2,L3,V12,M3} { ! eqratio( X, Y, Z, T, V2, V3, V4, V5 ), !
% 19.14/19.52 eqratio( V2, V3, V4, V5, U, W, V0, V1 ), eqratio( X, Y, Z, T, U, W, V0,
% 19.14/19.52 V1 ) }.
% 19.14/19.52 (61236) {G0,W14,D2,L2,V6,M2} { ! simtri( X, Z, Y, T, W, U ), simtri( X, Y
% 19.14/19.52 , Z, T, U, W ) }.
% 19.14/19.52 (61237) {G0,W14,D2,L2,V6,M2} { ! simtri( Y, X, Z, U, T, W ), simtri( X, Y
% 19.14/19.52 , Z, T, U, W ) }.
% 19.14/19.52 (61238) {G0,W14,D2,L2,V6,M2} { ! simtri( T, U, W, X, Y, Z ), simtri( X, Y
% 19.14/19.52 , Z, T, U, W ) }.
% 19.14/19.52 (61239) {G0,W21,D2,L3,V9,M3} { ! simtri( X, Y, Z, V0, V1, V2 ), ! simtri(
% 19.14/19.52 V0, V1, V2, T, U, W ), simtri( X, Y, Z, T, U, W ) }.
% 19.14/19.52 (61240) {G0,W14,D2,L2,V6,M2} { ! contri( X, Z, Y, T, W, U ), contri( X, Y
% 19.14/19.52 , Z, T, U, W ) }.
% 19.14/19.52 (61241) {G0,W14,D2,L2,V6,M2} { ! contri( Y, X, Z, U, T, W ), contri( X, Y
% 19.14/19.52 , Z, T, U, W ) }.
% 19.14/19.52 (61242) {G0,W14,D2,L2,V6,M2} { ! contri( T, U, W, X, Y, Z ), contri( X, Y
% 19.14/19.52 , Z, T, U, W ) }.
% 19.14/19.52 (61243) {G0,W21,D2,L3,V9,M3} { ! contri( X, Y, Z, V0, V1, V2 ), ! contri(
% 19.14/19.52 V0, V1, V2, T, U, W ), contri( X, Y, Z, T, U, W ) }.
% 19.14/19.52 (61244) {G0,W14,D2,L2,V6,M2} { ! eqangle( X, Y, U, W, Z, T, U, W ), para(
% 19.14/19.52 X, Y, Z, T ) }.
% 19.14/19.52 (61245) {G0,W14,D2,L2,V6,M2} { ! para( X, Y, Z, T ), eqangle( X, Y, U, W,
% 19.14/19.52 Z, T, U, W ) }.
% 19.14/19.52 (61246) {G0,W14,D2,L2,V4,M2} { ! cyclic( X, Y, Z, T ), eqangle( Z, X, Z, Y
% 19.14/19.52 , T, X, T, Y ) }.
% 19.14/19.52 (61247) {G0,W18,D2,L3,V4,M3} { ! eqangle( Z, X, Z, Y, T, X, T, Y ), coll(
% 19.14/19.52 Z, T, X ), cyclic( X, Y, Z, T ) }.
% 19.14/19.52 (61248) {G0,W18,D2,L3,V4,M3} { ! eqangle( Z, X, Z, Y, T, X, T, Y ), ! coll
% 19.14/19.52 ( Z, T, Y ), cyclic( X, Y, Z, T ) }.
% 19.14/19.52 (61249) {G0,W29,D2,L5,V6,M5} { ! cyclic( X, Y, U, Z ), ! cyclic( X, Y, U,
% 19.14/19.52 T ), ! cyclic( X, Y, U, W ), ! eqangle( U, X, U, Y, W, Z, W, T ), cong( X
% 19.14/19.52 , Y, Z, T ) }.
% 19.14/19.52 (61250) {G0,W13,D2,L3,V5,M3} { ! midp( Z, U, X ), ! midp( T, U, Y ), para
% 19.14/19.52 ( Z, T, X, Y ) }.
% 19.14/19.52 (61251) {G0,W17,D2,L4,V5,M4} { ! midp( U, X, T ), ! para( U, Z, T, Y ), !
% 19.14/19.52 coll( Z, X, Y ), midp( Z, X, Y ) }.
% 19.14/19.52 (61252) {G0,W14,D2,L2,V3,M2} { ! cong( Z, X, Z, Y ), eqangle( Z, X, X, Y,
% 19.14/19.52 X, Y, Z, Y ) }.
% 19.14/19.52 (61253) {G0,W18,D2,L3,V3,M3} { ! eqangle( Z, X, X, Y, X, Y, Z, Y ), coll(
% 19.14/19.52 Z, X, Y ), cong( Z, X, Z, Y ) }.
% 19.14/19.52 (61254) {G0,W19,D2,L3,V5,M3} { ! circle( U, X, Y, Z ), ! perp( U, X, X, T
% 19.14/19.52 ), eqangle( X, T, X, Y, Z, X, Z, Y ) }.
% 19.14/19.52 (61255) {G0,W19,D2,L3,V5,M3} { ! circle( Y, X, T, U ), ! eqangle( X, Z, X
% 19.14/19.52 , T, U, X, U, T ), perp( Y, X, X, Z ) }.
% 19.14/19.52 (61256) {G0,W18,D2,L3,V5,M3} { ! circle( T, X, Y, Z ), ! midp( U, Y, Z ),
% 19.14/19.52 eqangle( X, Y, X, Z, T, Y, T, U ) }.
% 19.14/19.52 (61257) {G0,W22,D2,L4,V5,M4} { ! circle( U, T, X, Y ), ! coll( Z, X, Y ),
% 19.14/19.52 ! eqangle( T, X, T, Y, U, X, U, Z ), midp( Z, X, Y ) }.
% 19.14/19.52 (61258) {G0,W14,D2,L3,V4,M3} { ! perp( X, Y, Y, T ), ! midp( Z, X, T ),
% 19.14/19.52 cong( X, Z, Y, Z ) }.
% 19.14/19.52 (61259) {G0,W14,D2,L3,V4,M3} { ! circle( T, X, Y, Z ), ! coll( T, X, Z ),
% 19.14/19.52 perp( X, Y, Y, Z ) }.
% 19.14/19.52 (61260) {G0,W19,D2,L3,V4,M3} { ! cyclic( X, Y, Z, T ), ! para( X, Y, Z, T
% 19.14/19.52 ), eqangle( X, T, Z, T, Z, T, Z, Y ) }.
% 19.14/19.52 (61261) {G0,W14,D2,L3,V4,M3} { ! midp( T, X, Y ), ! perp( Z, T, X, Y ),
% 19.14/19.52 cong( Z, X, Z, Y ) }.
% 19.14/19.52 (61262) {G0,W15,D2,L3,V4,M3} { ! cong( X, Z, Y, Z ), ! cong( X, T, Y, T )
% 19.14/19.52 , perp( X, Y, Z, T ) }.
% 19.14/19.52 (61263) {G0,W20,D2,L4,V4,M4} { ! cong( X, Y, T, Y ), ! cong( X, Z, T, Z )
% 19.14/19.52 , ! cyclic( X, T, Y, Z ), perp( Y, X, X, Z ) }.
% 19.14/19.52 (61264) {G0,W29,D2,L4,V6,M4} { ! eqangle( X, Y, Y, Z, T, U, U, W ), !
% 19.14/19.52 eqangle( X, Z, Y, Z, T, W, U, W ), coll( X, Y, Z ), simtri( X, Y, Z, T, U
% 19.14/19.52 , W ) }.
% 19.14/19.52 (61265) {G0,W16,D2,L2,V6,M2} { ! simtri( X, Y, Z, T, U, W ), eqratio( X, Y
% 19.14/19.52 , X, Z, T, U, T, W ) }.
% 19.14/19.52 (61266) {G0,W16,D2,L2,V6,M2} { ! simtri( X, Y, Z, T, U, W ), eqangle( X, Y
% 19.14/19.52 , Y, Z, T, U, U, W ) }.
% 19.14/19.52 (61267) {G0,W19,D2,L3,V6,M3} { ! simtri( X, Y, Z, T, U, W ), ! cong( X, Y
% 19.14/19.52 , T, U ), contri( X, Y, Z, T, U, W ) }.
% 19.14/19.52 (61268) {G0,W12,D2,L2,V6,M2} { ! contri( X, Y, U, Z, T, W ), cong( X, Y, Z
% 19.14/19.52 , T ) }.
% 19.14/19.52 (61269) {G0,W13,D2,L3,V5,M3} { ! midp( U, X, Y ), ! midp( U, Z, T ), para
% 19.14/19.52 ( X, Z, Y, T ) }.
% 19.14/19.52 (61270) {G0,W18,D2,L4,V5,M4} { ! midp( Z, T, U ), ! para( T, X, U, Y ), !
% 19.14/19.52 para( T, Y, U, X ), midp( Z, X, Y ) }.
% 19.14/19.52 (61271) {G0,W22,D2,L4,V5,M4} { ! para( X, Y, Z, T ), ! coll( U, X, Z ), !
% 19.14/19.52 coll( U, Y, T ), eqratio( U, X, X, Z, U, Y, Y, T ) }.
% 19.14/19.52 (61272) {G0,W9,D2,L2,V3,M2} { ! para( X, Y, X, Z ), coll( X, Y, Z ) }.
% 19.14/19.52 (61273) {G0,W13,D2,L3,V3,M3} { ! cong( X, Y, X, Z ), ! coll( X, Y, Z ),
% 19.14/19.52 midp( X, Y, Z ) }.
% 19.14/19.52 (61274) {G0,W9,D2,L2,V3,M2} { ! midp( X, Y, Z ), cong( X, Y, X, Z ) }.
% 19.14/19.52 (61275) {G0,W8,D2,L2,V3,M2} { ! midp( X, Y, Z ), coll( X, Y, Z ) }.
% 19.14/19.52 (61276) {G0,W17,D2,L3,V6,M3} { ! midp( U, X, Y ), ! midp( W, Z, T ),
% 19.14/19.52 eqratio( U, X, X, Y, W, Z, Z, T ) }.
% 19.14/19.52 (61277) {G0,W19,D2,L3,V4,M3} { ! eqangle( X, Y, Z, T, Z, T, X, Y ), para(
% 19.14/19.52 X, Y, Z, T ), perp( X, Y, Z, T ) }.
% 19.14/19.52 (61278) {G0,W19,D2,L3,V4,M3} { ! eqangle( X, Y, Z, T, Z, T, X, Y ), perp(
% 19.14/19.52 X, Y, Z, T ), para( X, Y, Z, T ) }.
% 19.14/19.52 (61279) {G0,W19,D2,L3,V8,M3} { ! eqangle( X, Y, Z, T, U, W, V0, V1 ), !
% 19.14/19.52 para( U, W, V0, V1 ), para( X, Y, Z, T ) }.
% 19.14/19.52 (61280) {G0,W19,D2,L3,V8,M3} { ! eqangle( X, Y, Z, T, U, W, V0, V1 ), !
% 19.14/19.52 perp( U, W, V0, V1 ), perp( X, Y, Z, T ) }.
% 19.14/19.52 (61281) {G0,W19,D2,L3,V8,M3} { ! eqratio( X, Y, Z, T, U, W, V0, V1 ), !
% 19.14/19.52 cong( U, W, V0, V1 ), cong( X, Y, Z, T ) }.
% 19.14/19.52 (61282) {G0,W22,D3,L3,V6,M3} { ! perp( Z, Y, Y, X ), ! eqangle( T, Z, Y, Z
% 19.14/19.52 , Y, Z, X, Z ), coll( skol1( U, W, Z, T ), Z, T ) }.
% 19.14/19.52 (61283) {G0,W22,D3,L3,V4,M3} { ! perp( Z, Y, Y, X ), ! eqangle( T, Z, Y, Z
% 19.14/19.52 , Y, Z, X, Z ), coll( skol1( X, Y, Z, T ), X, Y ) }.
% 19.14/19.52 (61284) {G0,W22,D3,L3,V6,M3} { ! cong( Z, X, Z, Y ), ! eqangle( X, Z, Z, T
% 19.14/19.52 , Z, T, Z, Y ), coll( skol2( U, W, Z, T ), Z, T ) }.
% 19.14/19.52 (61285) {G0,W22,D3,L3,V4,M3} { ! cong( Z, X, Z, Y ), ! eqangle( X, Z, Z, T
% 19.14/19.52 , Z, T, Z, Y ), coll( Y, X, skol2( X, Y, Z, T ) ) }.
% 19.14/19.52 (61286) {G0,W22,D3,L3,V6,M3} { ! perp( Z, T, X, Y ), ! eqangle( X, Z, Z, T
% 19.14/19.52 , Z, T, Z, Y ), coll( skol3( U, W, Z, T ), Z, T ) }.
% 19.14/19.52 (61287) {G0,W22,D3,L3,V4,M3} { ! perp( Z, T, X, Y ), ! eqangle( X, Z, Z, T
% 19.14/19.52 , Z, T, Z, Y ), coll( Y, X, skol3( X, Y, Z, T ) ) }.
% 19.14/19.52 (61288) {G0,W18,D3,L3,V6,M3} { ! perp( Z, T, X, Y ), ! cong( Z, X, Z, Y )
% 19.14/19.52 , coll( skol4( U, W, Z, T ), Z, T ) }.
% 19.14/19.52 (61289) {G0,W18,D3,L3,V4,M3} { ! perp( Z, T, X, Y ), ! cong( Z, X, Z, Y )
% 19.14/19.52 , coll( Y, X, skol4( X, Y, Z, T ) ) }.
% 19.14/19.52 (61290) {G0,W22,D3,L3,V6,M3} { ! eqangle( X, Z, Y, Z, X, T, Y, U ), coll(
% 19.14/19.52 X, Y, Z ), cyclic( T, Y, Z, skol5( W, Y, Z, T ) ) }.
% 19.14/19.52 (61291) {G0,W30,D3,L3,V5,M3} { ! eqangle( X, Z, Y, Z, X, T, Y, U ), coll(
% 19.14/19.52 X, Y, Z ), eqangle( X, Z, Y, Z, X, skol5( X, Y, Z, T ), Y, skol5( X, Y, Z
% 19.14/19.52 , T ) ) }.
% 19.14/19.52 (61292) {G0,W18,D3,L3,V10,M3} { ! midp( U, X, Y ), ! midp( W, Z, T ), midp
% 19.14/19.52 ( skol6( X, V0, V1, T, V2, V3 ), X, T ) }.
% 19.14/19.52 (61293) {G0,W19,D3,L3,V8,M3} { ! midp( U, X, Y ), ! midp( W, Z, T ), para
% 19.14/19.52 ( skol6( X, V0, Z, T, V1, W ), W, X, Z ) }.
% 19.14/19.52 (61294) {G0,W19,D3,L3,V6,M3} { ! midp( U, X, Y ), ! midp( W, Z, T ), para
% 19.14/19.52 ( skol6( X, Y, Z, T, U, W ), U, Y, T ) }.
% 19.14/19.52 (61295) {G0,W22,D3,L5,V7,M5} { ! midp( Z, X, Y ), ! midp( W, T, U ), !
% 19.14/19.52 coll( T, X, Y ), ! coll( U, X, Y ), midp( skol7( X, V0 ), X, V0 ) }.
% 19.14/19.52 (61296) {G0,W26,D3,L5,V8,M5} { ! midp( T, X, U ), ! para( X, W, Z, T ), !
% 19.14/19.52 para( X, W, U, Y ), ! coll( W, Y, Z ), coll( skol8( V0, V1, Z, T ), T, Z
% 19.14/19.52 ) }.
% 19.14/19.52 (61297) {G0,W26,D3,L5,V6,M5} { ! midp( T, X, U ), ! para( X, W, Z, T ), !
% 19.14/19.52 para( X, W, U, Y ), ! coll( W, Y, Z ), coll( skol8( X, Y, Z, T ), X, Y )
% 19.14/19.52 }.
% 19.14/19.52 (61298) {G0,W19,D3,L3,V7,M3} { ! cong( T, Z, T, U ), ! perp( X, Y, Y, T )
% 19.14/19.52 , cong( T, Z, T, skol9( W, V0, Z, T ) ) }.
% 19.14/19.52 (61299) {G0,W19,D3,L3,V6,M3} { ! cong( T, Z, T, U ), ! perp( X, Y, Y, T )
% 19.14/19.52 , cong( Y, Z, Y, skol9( W, Y, Z, T ) ) }.
% 19.14/19.52 (61300) {G0,W19,D3,L3,V5,M3} { ! cong( T, Z, T, U ), ! perp( X, Y, Y, T )
% 19.14/19.52 , para( skol9( X, Y, Z, T ), Z, X, Y ) }.
% 19.14/19.52 (61301) {G0,W17,D3,L3,V5,M3} { ! perp( X, T, Y, Z ), ! perp( Y, T, X, Z )
% 19.14/19.52 , coll( skol10( U, Y, Z ), Z, Y ) }.
% 19.14/19.52 (61302) {G0,W18,D3,L3,V4,M3} { ! perp( X, T, Y, Z ), ! perp( Y, T, X, Z )
% 19.14/19.52 , perp( X, skol10( X, Y, Z ), Z, Y ) }.
% 19.14/19.52 (61303) {G0,W14,D2,L3,V4,M3} { ! perp( X, T, Y, Z ), ! perp( Y, T, X, Z )
% 19.14/19.52 , alpha1( X, Y, Z ) }.
% 19.14/19.52 (61304) {G0,W11,D3,L2,V4,M2} { ! alpha1( X, Y, Z ), coll( skol11( X, T, Z
% 19.14/19.52 ), Z, X ) }.
% 19.14/19.52 (61305) {G0,W12,D3,L2,V3,M2} { ! alpha1( X, Y, Z ), perp( Y, skol11( X, Y
% 19.14/19.52 , Z ), Z, X ) }.
% 19.14/19.52 (61306) {G0,W13,D2,L3,V4,M3} { ! coll( T, Z, X ), ! perp( Y, T, Z, X ),
% 19.14/19.52 alpha1( X, Y, Z ) }.
% 19.14/19.52 (61307) {G0,W12,D3,L2,V4,M2} { ! circle( Y, X, Z, T ), perp( skol12( X, Y
% 19.14/19.52 ), X, X, Y ) }.
% 19.14/19.52 (61308) {G0,W28,D3,L5,V8,M5} { ! circle( W, X, Y, Z ), ! cong( W, X, W, T
% 19.14/19.52 ), ! cong( U, X, U, Y ), W = U, alpha2( X, Z, U, skol13( X, V0, Z, V1, U
% 19.14/19.52 ) ) }.
% 19.14/19.52 (61309) {G0,W26,D3,L5,V8,M5} { ! circle( W, X, Y, Z ), ! cong( W, X, W, T
% 19.14/19.52 ), ! cong( U, X, U, Y ), W = U, coll( skol21( V0, Y, T, V1 ), Y, T ) }.
% 19.14/19.52 (61310) {G0,W27,D3,L5,V6,M5} { ! circle( W, X, Y, Z ), ! cong( W, X, W, T
% 19.14/19.52 ), ! cong( U, X, U, Y ), W = U, cong( skol21( X, Y, T, U ), U, U, X )
% 19.14/19.52 }.
% 19.14/19.52 (61311) {G0,W9,D2,L2,V4,M2} { ! alpha2( X, Y, Z, T ), coll( T, X, Y ) }.
% 19.14/19.52 (61312) {G0,W10,D2,L2,V4,M2} { ! alpha2( X, Y, Z, T ), cong( T, Z, Z, X )
% 19.14/19.52 }.
% 19.14/19.52 (61313) {G0,W14,D2,L3,V4,M3} { ! coll( T, X, Y ), ! cong( T, Z, Z, X ),
% 19.14/19.52 alpha2( X, Y, Z, T ) }.
% 19.14/19.52 (61314) {G0,W22,D3,L4,V5,M4} { ! cyclic( X, Y, Z, T ), ! para( X, Y, Z, T
% 19.14/19.52 ), ! midp( U, X, Y ), circle( skol14( X, Y, Z ), X, Y, Z ) }.
% 19.14/19.52 (61315) {G0,W18,D3,L3,V4,M3} { ! perp( X, Z, Z, Y ), ! cyclic( X, Y, Z, T
% 19.14/19.52 ), circle( skol15( X, Y, Z ), X, Y, Z ) }.
% 19.14/19.52 (61316) {G0,W16,D3,L3,V6,M3} { ! perp( X, U, U, T ), ! coll( T, Y, Z ),
% 19.14/19.52 coll( skol16( W, Y, Z ), Y, Z ) }.
% 19.14/19.52 (61317) {G0,W17,D3,L3,V5,M3} { ! perp( X, U, U, T ), ! coll( T, Y, Z ),
% 19.14/19.52 perp( skol16( X, Y, Z ), X, Y, Z ) }.
% 19.14/19.52 (61318) {G0,W20,D3,L4,V5,M4} { ! perp( X, Z, X, Y ), ! perp( Y, X, Y, T )
% 19.14/19.52 , ! midp( U, Z, T ), midp( skol17( X, Y ), X, Y ) }.
% 19.14/19.52 (61319) {G0,W16,D3,L3,V3,M3} { ! cong( Y, X, Y, Z ), ! perp( X, Y, Y, Z )
% 19.14/19.52 , coll( X, Y, skol18( X, Y ) ) }.
% 19.14/19.52 (61320) {G0,W17,D3,L3,V3,M3} { ! cong( Y, X, Y, Z ), ! perp( X, Y, Y, Z )
% 19.14/19.52 , cong( Y, X, Y, skol18( X, Y ) ) }.
% 19.14/19.52 (61321) {G0,W25,D3,L5,V8,M5} { ! para( U, W, X, Y ), ! coll( Z, U, X ), !
% 19.14/19.52 coll( Z, W, Y ), ! coll( T, U, W ), coll( Z, T, skol19( V0, V1, Z, T ) )
% 19.14/19.52 }.
% 19.14/19.52 (61322) {G0,W25,D3,L5,V6,M5} { ! para( U, W, X, Y ), ! coll( Z, U, X ), !
% 19.14/19.52 coll( Z, W, Y ), ! coll( T, U, W ), coll( skol19( X, Y, Z, T ), X, Y )
% 19.14/19.52 }.
% 19.14/19.52 (61323) {G0,W5,D2,L1,V0,M1} { circle( skol23, skol20, skol26, skol22 ) }.
% 19.14/19.52 (61324) {G0,W4,D2,L1,V0,M1} { midp( skol27, skol26, skol20 ) }.
% 19.14/19.52 (61325) {G0,W4,D2,L1,V0,M1} { coll( skol24, skol23, skol27 ) }.
% 19.14/19.52 (61326) {G0,W5,D2,L1,V0,M1} { circle( skol24, skol20, skol28, skol29 ) }.
% 19.14/19.52 (61327) {G0,W4,D2,L1,V0,M1} { coll( skol25, skol26, skol22 ) }.
% 19.14/19.52 (61328) {G0,W5,D2,L1,V0,M1} { circle( skol24, skol20, skol25, skol30 ) }.
% 19.14/19.52 (61329) {G0,W24,D2,L3,V0,M3} { alpha3( skol20, skol22, skol23, skol24,
% 19.14/19.52 skol25 ), ! eqangle( skol20, skol23, skol23, skol24, skol22, skol20,
% 19.14/19.52 skol20, skol25 ), ! eqangle( skol20, skol23, skol23, skol24, skol20,
% 19.14/19.52 skol22, skol22, skol25 ) }.
% 19.14/19.52 (61330) {G0,W24,D2,L3,V0,M3} { alpha3( skol20, skol22, skol23, skol24,
% 19.14/19.52 skol25 ), ! eqangle( skol23, skol20, skol20, skol24, skol20, skol25,
% 19.14/19.52 skol25, skol22 ), ! eqangle( skol20, skol23, skol23, skol24, skol20,
% 19.14/19.52 skol22, skol22, skol25 ) }.
% 19.14/19.52 (61331) {G0,W21,D2,L3,V5,M3} { ! alpha3( X, Y, Z, T, U ), alpha4( X, Y, Z
% 19.14/19.52 , T, U ), ! eqangle( X, Z, Z, T, X, U, U, Y ) }.
% 19.14/19.52 (61332) {G0,W21,D2,L3,V5,M3} { ! alpha3( X, Y, Z, T, U ), alpha4( X, Y, Z
% 19.14/19.52 , T, U ), ! eqangle( Z, X, X, T, X, U, U, Y ) }.
% 19.14/19.52 (61333) {G0,W12,D2,L2,V5,M2} { ! alpha4( X, Y, Z, T, U ), alpha3( X, Y, Z
% 19.14/19.52 , T, U ) }.
% 19.14/19.52 (61334) {G0,W24,D2,L3,V5,M3} { eqangle( X, Z, Z, T, X, U, U, Y ), eqangle
% 19.14/19.52 ( Z, X, X, T, X, U, U, Y ), alpha3( X, Y, Z, T, U ) }.
% 19.14/19.52 (61335) {G0,W21,D2,L3,V5,M3} { ! alpha4( X, Y, Z, T, U ), alpha5( X, Y, Z
% 19.14/19.52 , T, U ), ! eqangle( X, Z, Z, T, Y, X, X, U ) }.
% 19.14/19.52 (61336) {G0,W21,D2,L3,V5,M3} { ! alpha4( X, Y, Z, T, U ), alpha5( X, Y, Z
% 19.14/19.52 , T, U ), ! eqangle( Z, X, X, T, X, Y, Y, U ) }.
% 19.14/19.52 (61337) {G0,W12,D2,L2,V5,M2} { ! alpha5( X, Y, Z, T, U ), alpha4( X, Y, Z
% 19.14/19.52 , T, U ) }.
% 19.14/19.52 (61338) {G0,W24,D2,L3,V5,M3} { eqangle( X, Z, Z, T, Y, X, X, U ), eqangle
% 19.14/19.52 ( Z, X, X, T, X, Y, Y, U ), alpha4( X, Y, Z, T, U ) }.
% 19.14/19.52 (61339) {G0,W21,D2,L3,V5,M3} { ! alpha5( X, Y, Z, T, U ), alpha6( X, Y, Z
% 19.14/19.52 , T, U ), ! eqangle( X, Z, Z, T, X, U, U, Y ) }.
% 19.14/19.52 (61340) {G0,W21,D2,L3,V5,M3} { ! alpha5( X, Y, Z, T, U ), alpha6( X, Y, Z
% 19.14/19.52 , T, U ), ! eqangle( Z, X, X, T, X, Y, Y, U ) }.
% 19.14/19.52 (61341) {G0,W12,D2,L2,V5,M2} { ! alpha6( X, Y, Z, T, U ), alpha5( X, Y, Z
% 19.14/19.52 , T, U ) }.
% 19.14/19.52 (61342) {G0,W24,D2,L3,V5,M3} { eqangle( X, Z, Z, T, X, U, U, Y ), eqangle
% 19.14/19.52 ( Z, X, X, T, X, Y, Y, U ), alpha5( X, Y, Z, T, U ) }.
% 19.14/19.52 (61343) {G0,W24,D2,L3,V5,M3} { ! alpha6( X, Y, Z, T, U ), ! eqangle( Z, X
% 19.14/19.52 , X, T, Y, X, X, U ), ! eqangle( X, Z, Z, T, X, Y, Y, U ) }.
% 19.14/19.52 (61344) {G0,W24,D2,L3,V5,M3} { ! alpha6( X, Y, Z, T, U ), ! eqangle( Z, X
% 19.14/19.52 , X, T, Y, X, X, U ), ! eqangle( Z, X, X, T, Y, X, X, U ) }.
% 19.14/19.52 (61345) {G0,W15,D2,L2,V5,M2} { eqangle( Z, X, X, T, Y, X, X, U ), alpha6(
% 19.14/19.52 X, Y, Z, T, U ) }.
% 19.14/19.52 (61346) {G0,W24,D2,L3,V5,M3} { eqangle( X, Z, Z, T, X, Y, Y, U ), eqangle
% 19.14/19.52 ( Z, X, X, T, Y, X, X, U ), alpha6( X, Y, Z, T, U ) }.
% 19.14/19.52
% 19.14/19.52
% 19.14/19.52 Total Proof:
% 19.14/19.52
% 19.14/19.52 subsumption: (0) {G0,W8,D2,L2,V3,M2} I { ! coll( X, Y, Z ), coll( X, Z, Y )
% 19.14/19.52 }.
% 19.14/19.52 parent0: (61206) {G0,W8,D2,L2,V3,M2} { ! coll( X, Y, Z ), coll( X, Z, Y )
% 19.14/19.52 }.
% 19.14/19.52 substitution0:
% 19.14/19.52 X := X
% 19.14/19.52 Y := Y
% 19.14/19.52 Z := Z
% 19.14/19.52 end
% 19.14/19.52 permutation0:
% 19.14/19.52 0 ==> 0
% 19.14/19.52 1 ==> 1
% 19.14/19.52 end
% 19.14/19.52
% 19.14/19.52 subsumption: (1) {G0,W8,D2,L2,V3,M2} I { ! coll( X, Y, Z ), coll( Y, X, Z )
% 19.14/19.52 }.
% 19.14/19.52 parent0: (61207) {G0,W8,D2,L2,V3,M2} { ! coll( X, Y, Z ), coll( Y, X, Z )
% 19.14/19.52 }.
% 19.14/19.52 substitution0:
% 19.14/19.52 X := X
% 19.14/19.52 Y := Y
% 19.14/19.52 Z := Z
% 19.14/19.52 end
% 19.14/19.52 permutation0:
% 19.14/19.52 0 ==> 0
% 19.14/19.52 1 ==> 1
% 19.14/19.52 end
% 19.14/19.52
% 19.14/19.52 subsumption: (2) {G0,W12,D2,L3,V4,M3} I { ! coll( X, T, Y ), ! coll( X, T,
% 19.14/19.52 Z ), coll( Y, Z, X ) }.
% 19.14/19.52 parent0: (61208) {G0,W12,D2,L3,V4,M3} { ! coll( X, T, Y ), ! coll( X, T, Z
% 19.14/19.52 ), coll( Y, Z, X ) }.
% 19.14/19.52 substitution0:
% 19.14/19.52 X := X
% 19.14/19.52 Y := Y
% 19.14/19.52 Z := Z
% 19.14/19.52 T := T
% 19.14/19.52 end
% 19.14/19.52 permutation0:
% 19.14/19.52 0 ==> 0
% 19.14/19.52 1 ==> 1
% 19.14/19.52 2 ==> 2
% 19.14/19.52 end
% 19.14/19.52
% 19.14/19.52 subsumption: (3) {G0,W10,D2,L2,V4,M2} I { ! para( X, Y, Z, T ), para( X, Y
% 19.14/19.52 , T, Z ) }.
% 19.14/19.52 parent0: (61209) {G0,W10,D2,L2,V4,M2} { ! para( X, Y, Z, T ), para( X, Y,
% 19.14/19.52 T, Z ) }.
% 19.14/19.52 substitution0:
% 19.14/19.52 X := X
% 19.14/19.52 Y := Y
% 19.14/19.52 Z := Z
% 19.14/19.52 T := T
% 19.14/19.52 end
% 19.14/19.52 permutation0:
% 19.14/19.52 0 ==> 0
% 19.14/19.52 1 ==> 1
% 19.14/19.52 end
% 19.14/19.52
% 19.14/19.52 subsumption: (4) {G0,W10,D2,L2,V4,M2} I { ! para( X, Y, Z, T ), para( Z, T
% 19.14/19.52 , X, Y ) }.
% 19.14/19.52 parent0: (61210) {G0,W10,D2,L2,V4,M2} { ! para( X, Y, Z, T ), para( Z, T,
% 19.14/19.52 X, Y ) }.
% 19.14/19.52 substitution0:
% 19.14/19.52 X := X
% 19.14/19.52 Y := Y
% 19.14/19.52 Z := Z
% 19.14/19.52 T := T
% 19.14/19.52 end
% 19.14/19.52 permutation0:
% 19.14/19.52 0 ==> 0
% 19.14/19.52 1 ==> 1
% 19.14/19.52 end
% 19.14/19.52
% 19.14/19.52 subsumption: (7) {G0,W10,D2,L2,V4,M2} I { ! perp( X, Y, Z, T ), perp( Z, T
% 19.14/19.52 , X, Y ) }.
% 19.14/19.52 parent0: (61213) {G0,W10,D2,L2,V4,M2} { ! perp( X, Y, Z, T ), perp( Z, T,
% 19.14/19.52 X, Y ) }.
% 19.14/19.52 substitution0:
% 19.14/19.52 X := X
% 19.14/19.52 Y := Y
% 19.14/19.52 Z := Z
% 19.14/19.52 T := T
% 19.14/19.52 end
% 19.14/19.52 permutation0:
% 19.14/19.52 0 ==> 0
% 19.14/19.52 1 ==> 1
% 19.14/19.52 end
% 19.14/19.52
% 19.14/19.52 subsumption: (8) {G0,W15,D2,L3,V6,M3} I { ! perp( X, Y, U, W ), ! perp( U,
% 19.14/19.52 W, Z, T ), para( X, Y, Z, T ) }.
% 19.14/19.52 parent0: (61214) {G0,W15,D2,L3,V6,M3} { ! perp( X, Y, U, W ), ! perp( U, W
% 19.14/19.52 , Z, T ), para( X, Y, Z, T ) }.
% 19.14/19.52 substitution0:
% 19.14/19.52 X := X
% 19.14/19.52 Y := Y
% 19.14/19.52 Z := Z
% 19.14/19.52 T := T
% 19.14/19.52 U := U
% 19.14/19.52 W := W
% 19.14/19.52 end
% 19.14/19.52 permutation0:
% 19.14/19.52 0 ==> 0
% 19.14/19.52 1 ==> 1
% 19.14/19.52 2 ==> 2
% 19.14/19.52 end
% 19.14/19.52
% 19.14/19.52 subsumption: (9) {G0,W15,D2,L3,V6,M3} I { ! para( X, Y, U, W ), ! perp( U,
% 19.14/19.52 W, Z, T ), perp( X, Y, Z, T ) }.
% 19.14/19.52 parent0: (61215) {G0,W15,D2,L3,V6,M3} { ! para( X, Y, U, W ), ! perp( U, W
% 19.14/19.52 , Z, T ), perp( X, Y, Z, T ) }.
% 19.14/19.52 substitution0:
% 19.14/19.52 X := X
% 19.14/19.52 Y := Y
% 19.14/19.52 Z := Z
% 19.14/19.52 T := T
% 19.14/19.52 U := U
% 19.14/19.52 W := W
% 19.14/19.52 end
% 19.14/19.52 permutation0:
% 19.14/19.52 0 ==> 0
% 19.14/19.52 1 ==> 1
% 19.14/19.52 2 ==> 2
% 19.14/19.52 end
% 19.14/19.52
% 19.14/19.52 subsumption: (10) {G0,W8,D2,L2,V3,M2} I { ! midp( Z, Y, X ), midp( Z, X, Y
% 19.14/19.52 ) }.
% 19.14/19.52 parent0: (61216) {G0,W8,D2,L2,V3,M2} { ! midp( Z, Y, X ), midp( Z, X, Y )
% 19.14/19.52 }.
% 19.14/19.52 substitution0:
% 19.14/19.52 X := X
% 19.14/19.52 Y := Y
% 19.14/19.52 Z := Z
% 19.14/19.52 end
% 19.14/19.52 permutation0:
% 19.14/19.52 0 ==> 0
% 19.14/19.52 1 ==> 1
% 19.14/19.52 end
% 19.14/19.52
% 19.14/19.52 subsumption: (14) {G0,W10,D2,L2,V4,M2} I { ! cyclic( X, Y, Z, T ), cyclic(
% 19.14/19.52 X, Z, Y, T ) }.
% 19.14/19.52 parent0: (61220) {G0,W10,D2,L2,V4,M2} { ! cyclic( X, Y, Z, T ), cyclic( X
% 19.14/19.52 , Z, Y, T ) }.
% 19.14/19.52 substitution0:
% 19.14/19.52 X := X
% 19.14/19.52 Y := Y
% 19.14/19.52 Z := Z
% 19.14/19.52 T := T
% 19.14/19.52 end
% 19.14/19.52 permutation0:
% 19.14/19.52 0 ==> 0
% 19.14/19.52 1 ==> 1
% 19.14/19.52 end
% 19.14/19.52
% 19.14/19.52 subsumption: (15) {G0,W10,D2,L2,V4,M2} I { ! cyclic( X, Y, Z, T ), cyclic(
% 19.14/19.52 Y, X, Z, T ) }.
% 19.14/19.52 parent0: (61221) {G0,W10,D2,L2,V4,M2} { ! cyclic( X, Y, Z, T ), cyclic( Y
% 19.14/19.52 , X, Z, T ) }.
% 19.14/19.52 substitution0:
% 19.14/19.52 X := X
% 19.14/19.52 Y := Y
% 19.14/19.52 Z := Z
% 19.14/19.52 T := T
% 19.14/19.52 end
% 19.14/19.52 permutation0:
% 19.14/19.52 0 ==> 0
% 19.14/19.52 1 ==> 1
% 19.14/19.52 end
% 19.14/19.52
% 19.14/19.52 subsumption: (18) {G0,W18,D2,L2,V8,M2} I { ! eqangle( X, Y, Z, T, U, W, V0
% 19.14/19.52 , V1 ), eqangle( Z, T, X, Y, V0, V1, U, W ) }.
% 19.14/19.52 parent0: (61224) {G0,W18,D2,L2,V8,M2} { ! eqangle( X, Y, Z, T, U, W, V0,
% 19.14/19.52 V1 ), eqangle( Z, T, X, Y, V0, V1, U, W ) }.
% 19.14/19.52 substitution0:
% 19.14/19.52 X := X
% 19.14/19.52 Y := Y
% 19.14/19.52 Z := Z
% 19.14/19.52 T := T
% 19.14/19.52 U := U
% 19.14/19.52 W := W
% 19.14/19.52 V0 := V0
% 19.14/19.52 V1 := V1
% 19.14/19.52 end
% 19.14/19.52 permutation0:
% 19.14/19.52 0 ==> 0
% 19.14/19.52 1 ==> 1
% 19.14/19.52 end
% 19.14/19.52
% 19.14/19.52 subsumption: (20) {G0,W18,D2,L2,V8,M2} I { ! eqangle( X, Y, Z, T, U, W, V0
% 19.14/19.52 , V1 ), eqangle( X, Y, U, W, Z, T, V0, V1 ) }.
% 19.14/19.52 parent0: (61226) {G0,W18,D2,L2,V8,M2} { ! eqangle( X, Y, Z, T, U, W, V0,
% 19.14/19.52 V1 ), eqangle( X, Y, U, W, Z, T, V0, V1 ) }.
% 19.14/19.52 substitution0:
% 19.14/19.52 X := X
% 19.14/19.52 Y := Y
% 19.14/19.52 Z := Z
% 19.14/19.52 T := T
% 19.14/19.52 U := U
% 19.14/19.52 W := W
% 19.14/19.52 V0 := V0
% 19.14/19.52 V1 := V1
% 19.14/19.52 end
% 19.14/19.52 permutation0:
% 19.14/19.52 0 ==> 0
% 19.14/19.52 1 ==> 1
% 19.14/19.52 end
% 19.14/19.52
% 19.14/19.52 subsumption: (21) {G0,W27,D2,L3,V12,M3} I { ! eqangle( X, Y, Z, T, V2, V3,
% 19.14/19.52 V4, V5 ), ! eqangle( V2, V3, V4, V5, U, W, V0, V1 ), eqangle( X, Y, Z, T
% 19.14/19.52 , U, W, V0, V1 ) }.
% 19.14/19.52 parent0: (61227) {G0,W27,D2,L3,V12,M3} { ! eqangle( X, Y, Z, T, V2, V3, V4
% 19.14/19.52 , V5 ), ! eqangle( V2, V3, V4, V5, U, W, V0, V1 ), eqangle( X, Y, Z, T, U
% 19.14/19.52 , W, V0, V1 ) }.
% 19.14/19.52 substitution0:
% 19.14/19.52 X := X
% 19.14/19.52 Y := Y
% 19.14/19.52 Z := Z
% 19.14/19.52 T := T
% 19.14/19.52 U := U
% 19.14/19.52 W := W
% 19.14/19.52 V0 := V0
% 19.14/19.52 V1 := V1
% 19.14/19.52 V2 := V2
% 19.14/19.52 V3 := V3
% 19.14/19.52 V4 := V4
% 19.14/19.52 V5 := V5
% 19.14/19.52 end
% 19.14/19.52 permutation0:
% 19.14/19.52 0 ==> 0
% 19.14/19.52 1 ==> 1
% 19.14/19.52 2 ==> 2
% 19.14/19.52 end
% 19.14/19.52
% 19.14/19.52 subsumption: (39) {G0,W14,D2,L2,V6,M2} I { ! para( X, Y, Z, T ), eqangle( X
% 19.14/19.52 , Y, U, W, Z, T, U, W ) }.
% 19.14/19.52 parent0: (61245) {G0,W14,D2,L2,V6,M2} { ! para( X, Y, Z, T ), eqangle( X,
% 19.14/19.52 Y, U, W, Z, T, U, W ) }.
% 19.14/19.52 substitution0:
% 19.14/19.52 X := X
% 19.14/19.52 Y := Y
% 19.14/19.52 Z := Z
% 19.14/19.52 T := T
% 19.14/19.52 U := U
% 19.14/19.52 W := W
% 19.14/19.52 end
% 19.14/19.52 permutation0:
% 19.14/19.52 0 ==> 0
% 19.14/19.52 1 ==> 1
% 19.14/19.52 end
% 19.14/19.52
% 19.14/19.52 subsumption: (40) {G0,W14,D2,L2,V4,M2} I { ! cyclic( X, Y, Z, T ), eqangle
% 19.14/19.52 ( Z, X, Z, Y, T, X, T, Y ) }.
% 19.14/19.52 parent0: (61246) {G0,W14,D2,L2,V4,M2} { ! cyclic( X, Y, Z, T ), eqangle( Z
% 19.14/19.52 , X, Z, Y, T, X, T, Y ) }.
% 19.14/19.52 substitution0:
% 19.14/19.52 X := X
% 19.14/19.52 Y := Y
% 19.14/19.52 Z := Z
% 19.14/19.52 T := T
% 19.14/19.52 end
% 19.14/19.52 permutation0:
% 19.14/19.52 0 ==> 0
% 19.14/19.52 1 ==> 1
% 19.14/19.52 end
% 19.14/19.52
% 19.14/19.52 subsumption: (42) {G0,W18,D2,L3,V4,M3} I { ! eqangle( Z, X, Z, Y, T, X, T,
% 19.14/19.52 Y ), ! coll( Z, T, Y ), cyclic( X, Y, Z, T ) }.
% 19.14/19.52 parent0: (61248) {G0,W18,D2,L3,V4,M3} { ! eqangle( Z, X, Z, Y, T, X, T, Y
% 19.14/19.52 ), ! coll( Z, T, Y ), cyclic( X, Y, Z, T ) }.
% 19.14/19.52 substitution0:
% 19.14/19.52 X := X
% 19.14/19.52 Y := Y
% 19.14/19.52 Z := Z
% 19.14/19.52 T := T
% 19.14/19.52 end
% 19.14/19.52 permutation0:
% 19.14/19.52 0 ==> 0
% 19.14/19.52 1 ==> 1
% 19.14/19.52 2 ==> 2
% 19.14/19.52 end
% 19.14/19.52
% 19.14/19.52 subsumption: (43) {G0,W29,D2,L5,V6,M5} I { ! cyclic( X, Y, U, Z ), ! cyclic
% 19.14/19.52 ( X, Y, U, T ), ! cyclic( X, Y, U, W ), ! eqangle( U, X, U, Y, W, Z, W, T
% 19.14/19.52 ), cong( X, Y, Z, T ) }.
% 19.14/19.52 parent0: (61249) {G0,W29,D2,L5,V6,M5} { ! cyclic( X, Y, U, Z ), ! cyclic(
% 19.14/19.52 X, Y, U, T ), ! cyclic( X, Y, U, W ), ! eqangle( U, X, U, Y, W, Z, W, T )
% 19.14/19.52 , cong( X, Y, Z, T ) }.
% 19.14/19.52 substitution0:
% 19.14/19.52 X := X
% 19.14/19.52 Y := Y
% 19.14/19.52 Z := Z
% 19.14/19.52 T := T
% 19.14/19.52 U := U
% 19.14/19.52 W := W
% 19.14/19.52 end
% 19.14/19.52 permutation0:
% 19.14/19.52 0 ==> 0
% 19.14/19.52 1 ==> 1
% 19.14/19.52 2 ==> 2
% 19.14/19.52 3 ==> 3
% 19.14/19.52 4 ==> 4
% 19.14/19.52 end
% 19.14/19.52
% 19.14/19.52 subsumption: (56) {G0,W15,D2,L3,V4,M3} I { ! cong( X, Z, Y, Z ), ! cong( X
% 19.14/19.52 , T, Y, T ), perp( X, Y, Z, T ) }.
% 19.14/19.52 parent0: (61262) {G0,W15,D2,L3,V4,M3} { ! cong( X, Z, Y, Z ), ! cong( X, T
% 19.14/19.52 , Y, T ), perp( X, Y, Z, T ) }.
% 19.14/19.52 substitution0:
% 19.14/19.52 X := X
% 19.14/19.52 Y := Y
% 19.14/19.52 Z := Z
% 19.14/19.52 T := T
% 19.14/19.52 end
% 19.14/19.52 permutation0:
% 19.14/19.52 0 ==> 0
% 19.14/19.52 1 ==> 1
% 19.14/19.52 2 ==> 2
% 19.14/19.52 end
% 19.14/19.52
% 19.14/19.52 subsumption: (63) {G0,W13,D2,L3,V5,M3} I { ! midp( U, X, Y ), ! midp( U, Z
% 19.14/19.52 , T ), para( X, Z, Y, T ) }.
% 19.14/19.52 parent0: (61269) {G0,W13,D2,L3,V5,M3} { ! midp( U, X, Y ), ! midp( U, Z, T
% 19.14/19.52 ), para( X, Z, Y, T ) }.
% 19.14/19.52 substitution0:
% 19.14/19.52 X := X
% 19.14/19.52 Y := Y
% 19.14/19.52 Z := Z
% 19.14/19.52 T := T
% 19.14/19.52 U := U
% 19.14/19.52 end
% 19.14/19.52 permutation0:
% 19.14/19.52 0 ==> 0
% 19.14/19.52 1 ==> 1
% 19.14/19.52 2 ==> 2
% 19.14/19.52 end
% 19.14/19.52
% 19.14/19.52 subsumption: (69) {G0,W8,D2,L2,V3,M2} I { ! midp( X, Y, Z ), coll( X, Y, Z
% 19.14/19.52 ) }.
% 19.14/19.52 parent0: (61275) {G0,W8,D2,L2,V3,M2} { ! midp( X, Y, Z ), coll( X, Y, Z )
% 19.14/19.52 }.
% 19.14/19.52 substitution0:
% 19.14/19.52 X := X
% 19.14/19.52 Y := Y
% 19.14/19.52 Z := Z
% 19.14/19.52 end
% 19.14/19.52 permutation0:
% 19.14/19.52 0 ==> 0
% 19.14/19.52 1 ==> 1
% 19.14/19.52 end
% 19.14/19.52
% 19.14/19.52 subsumption: (88) {G0,W22,D3,L5,V7,M5} I { ! midp( Z, X, Y ), ! midp( W, T
% 19.14/19.52 , U ), ! coll( T, X, Y ), ! coll( U, X, Y ), midp( skol7( X, V0 ), X, V0
% 19.14/19.52 ) }.
% 19.14/19.52 parent0: (61295) {G0,W22,D3,L5,V7,M5} { ! midp( Z, X, Y ), ! midp( W, T, U
% 19.14/19.52 ), ! coll( T, X, Y ), ! coll( U, X, Y ), midp( skol7( X, V0 ), X, V0 )
% 19.14/19.52 }.
% 19.14/19.52 substitution0:
% 19.14/19.52 X := X
% 19.14/19.52 Y := Y
% 19.14/19.52 Z := Z
% 19.14/19.52 T := T
% 19.14/19.52 U := U
% 19.14/19.52 W := W
% 19.14/19.52 V0 := V0
% 19.14/19.52 end
% 19.14/19.52 permutation0:
% 19.14/19.52 0 ==> 0
% 19.14/19.52 1 ==> 1
% 19.14/19.52 2 ==> 2
% 19.14/19.52 3 ==> 3
% 19.14/19.52 4 ==> 4
% 19.14/19.52 end
% 19.14/19.52
% 19.14/19.52 subsumption: (117) {G0,W4,D2,L1,V0,M1} I { midp( skol27, skol26, skol20 )
% 19.14/19.52 }.
% 19.14/19.52 parent0: (61324) {G0,W4,D2,L1,V0,M1} { midp( skol27, skol26, skol20 ) }.
% 19.14/19.52 substitution0:
% 19.14/19.52 end
% 19.14/19.52 permutation0:
% 19.14/19.52 0 ==> 0
% 19.14/19.52 end
% 19.14/19.52
% 19.14/19.52 subsumption: (123) {G0,W24,D2,L3,V0,M3} I { alpha3( skol20, skol22, skol23
% 19.14/19.52 , skol24, skol25 ), ! eqangle( skol23, skol20, skol20, skol24, skol20,
% 19.14/19.52 skol25, skol25, skol22 ), ! eqangle( skol20, skol23, skol23, skol24,
% 19.14/19.52 skol20, skol22, skol22, skol25 ) }.
% 19.14/19.52 parent0: (61330) {G0,W24,D2,L3,V0,M3} { alpha3( skol20, skol22, skol23,
% 19.14/19.52 skol24, skol25 ), ! eqangle( skol23, skol20, skol20, skol24, skol20,
% 19.14/19.52 skol25, skol25, skol22 ), ! eqangle( skol20, skol23, skol23, skol24,
% 19.14/19.52 skol20, skol22, skol22, skol25 ) }.
% 19.14/19.52 substitution0:
% 19.14/19.52 end
% 19.14/19.52 permutation0:
% 19.14/19.52 0 ==> 0
% 19.14/19.52 1 ==> 1
% 19.14/19.52 2 ==> 2
% 19.14/19.52 end
% 19.14/19.52
% 19.14/19.52 subsumption: (125) {G0,W21,D2,L3,V5,M3} I { ! alpha3( X, Y, Z, T, U ),
% 19.14/19.52 alpha4( X, Y, Z, T, U ), ! eqangle( Z, X, X, T, X, U, U, Y ) }.
% 19.14/19.52 parent0: (61332) {G0,W21,D2,L3,V5,M3} { ! alpha3( X, Y, Z, T, U ), alpha4
% 19.14/19.52 ( X, Y, Z, T, U ), ! eqangle( Z, X, X, T, X, U, U, Y ) }.
% 19.14/19.52 substitution0:
% 19.14/19.52 X := X
% 19.14/19.52 Y := Y
% 19.14/19.52 Z := Z
% 19.14/19.52 T := T
% 19.14/19.52 U := U
% 19.14/19.52 end
% 19.14/19.52 permutation0:
% 19.14/19.52 0 ==> 0
% 19.14/19.52 1 ==> 1
% 19.14/19.52 2 ==> 2
% 19.14/19.52 end
% 19.14/19.52
% 19.14/19.52 subsumption: (129) {G0,W21,D2,L3,V5,M3} I { ! alpha4( X, Y, Z, T, U ),
% 19.14/19.52 alpha5( X, Y, Z, T, U ), ! eqangle( Z, X, X, T, X, Y, Y, U ) }.
% 19.14/19.52 parent0: (61336) {G0,W21,D2,L3,V5,M3} { ! alpha4( X, Y, Z, T, U ), alpha5
% 19.14/19.52 ( X, Y, Z, T, U ), ! eqangle( Z, X, X, T, X, Y, Y, U ) }.
% 19.14/19.52 substitution0:
% 19.14/19.52 X := X
% 19.14/19.52 Y := Y
% 19.14/19.52 Z := Z
% 19.14/19.52 T := T
% 19.14/19.52 U := U
% 19.14/19.52 end
% 19.14/19.52 permutation0:
% 19.14/19.52 0 ==> 0
% 19.14/19.52 1 ==> 1
% 19.14/19.52 2 ==> 2
% 19.14/19.52 end
% 19.14/19.52
% 19.14/19.52 subsumption: (133) {G0,W21,D2,L3,V5,M3} I { ! alpha5( X, Y, Z, T, U ),
% 19.14/19.52 alpha6( X, Y, Z, T, U ), ! eqangle( Z, X, X, T, X, Y, Y, U ) }.
% 19.14/19.52 parent0: (61340) {G0,W21,D2,L3,V5,M3} { ! alpha5( X, Y, Z, T, U ), alpha6
% 19.14/19.52 ( X, Y, Z, T, U ), ! eqangle( Z, X, X, T, X, Y, Y, U ) }.
% 19.14/19.52 substitution0:
% 19.14/19.52 X := X
% 19.14/19.52 Y := Y
% 19.14/19.52 Z := Z
% 19.14/19.52 T := T
% 19.14/19.52 U := U
% 19.14/19.52 end
% 19.14/19.52 permutation0:
% 19.14/19.52 0 ==> 0
% 19.14/19.52 1 ==> 1
% 19.14/19.52 2 ==> 2
% 19.14/19.52 end
% 19.14/19.52
% 19.14/19.52 factor: (61884) {G0,W15,D2,L2,V5,M2} { ! alpha6( X, Y, Z, T, U ), !
% 19.14/19.52 eqangle( Z, X, X, T, Y, X, X, U ) }.
% 19.14/19.52 parent0[1, 2]: (61344) {G0,W24,D2,L3,V5,M3} { ! alpha6( X, Y, Z, T, U ), !
% 19.14/19.52 eqangle( Z, X, X, T, Y, X, X, U ), ! eqangle( Z, X, X, T, Y, X, X, U )
% 19.14/19.52 }.
% 19.14/19.52 substitution0:
% 19.14/19.52 X := X
% 19.14/19.52 Y := Y
% 19.14/19.52 Z := Z
% 19.14/19.52 T := T
% 19.14/19.52 U := U
% 19.14/19.52 end
% 19.14/19.52
% 19.14/19.52 subsumption: (137) {G0,W15,D2,L2,V5,M2} I;f { ! alpha6( X, Y, Z, T, U ), !
% 19.14/19.52 eqangle( Z, X, X, T, Y, X, X, U ) }.
% 19.14/19.52 parent0: (61884) {G0,W15,D2,L2,V5,M2} { ! alpha6( X, Y, Z, T, U ), !
% 19.14/19.52 eqangle( Z, X, X, T, Y, X, X, U ) }.
% 19.14/19.52 substitution0:
% 19.14/19.52 X := X
% 19.14/19.52 Y := Y
% 19.14/19.52 Z := Z
% 19.14/19.52 T := T
% 19.14/19.52 U := U
% 19.14/19.52 end
% 19.14/19.52 permutation0:
% 19.14/19.52 0 ==> 0
% 19.14/19.52 1 ==> 1
% 19.14/19.52 end
% 19.14/19.52
% 19.14/19.52 factor: (61885) {G0,W18,D3,L4,V4,M4} { ! midp( X, Y, Z ), ! coll( Y, Y, Z
% 19.14/19.52 ), ! coll( Z, Y, Z ), midp( skol7( Y, T ), Y, T ) }.
% 19.14/19.52 parent0[0, 1]: (88) {G0,W22,D3,L5,V7,M5} I { ! midp( Z, X, Y ), ! midp( W,
% 19.14/19.52 T, U ), ! coll( T, X, Y ), ! coll( U, X, Y ), midp( skol7( X, V0 ), X, V0
% 19.14/19.52 ) }.
% 19.14/19.52 substitution0:
% 19.14/19.52 X := Y
% 19.14/19.52 Y := Z
% 19.14/19.52 Z := X
% 19.14/19.52 T := Y
% 19.14/19.52 U := Z
% 19.14/19.52 W := X
% 19.14/19.52 V0 := T
% 19.14/19.52 end
% 19.14/19.52
% 19.14/19.52 subsumption: (161) {G1,W18,D3,L4,V4,M4} F(88) { ! midp( X, Y, Z ), ! coll(
% 19.14/19.52 Y, Y, Z ), ! coll( Z, Y, Z ), midp( skol7( Y, T ), Y, T ) }.
% 19.14/19.52 parent0: (61885) {G0,W18,D3,L4,V4,M4} { ! midp( X, Y, Z ), ! coll( Y, Y, Z
% 19.14/19.53 ), ! coll( Z, Y, Z ), midp( skol7( Y, T ), Y, T ) }.
% 19.14/19.53 substitution0:
% 19.14/19.53 X := X
% 19.14/19.53 Y := Y
% 19.14/19.53 Z := Z
% 19.14/19.53 T := T
% 19.14/19.53 end
% 19.14/19.53 permutation0:
% 19.14/19.53 0 ==> 0
% 19.14/19.53 1 ==> 1
% 19.14/19.53 2 ==> 2
% 19.14/19.53 3 ==> 3
% 19.14/19.53 end
% 19.14/19.53
% 19.14/19.53 resolution: (61888) {G1,W4,D2,L1,V0,M1} { coll( skol27, skol26, skol20 )
% 19.14/19.53 }.
% 19.14/19.53 parent0[0]: (69) {G0,W8,D2,L2,V3,M2} I { ! midp( X, Y, Z ), coll( X, Y, Z )
% 19.14/19.53 }.
% 19.14/19.53 parent1[0]: (117) {G0,W4,D2,L1,V0,M1} I { midp( skol27, skol26, skol20 )
% 19.14/19.53 }.
% 19.14/19.53 substitution0:
% 19.14/19.53 X := skol27
% 19.14/19.53 Y := skol26
% 19.14/19.53 Z := skol20
% 19.14/19.53 end
% 19.14/19.53 substitution1:
% 19.14/19.53 end
% 19.14/19.53
% 19.14/19.53 subsumption: (182) {G1,W4,D2,L1,V0,M1} R(69,117) { coll( skol27, skol26,
% 19.14/19.53 skol20 ) }.
% 19.14/19.53 parent0: (61888) {G1,W4,D2,L1,V0,M1} { coll( skol27, skol26, skol20 ) }.
% 19.14/19.53 substitution0:
% 19.14/19.53 end
% 19.14/19.53 permutation0:
% 19.14/19.53 0 ==> 0
% 19.14/19.53 end
% 19.14/19.53
% 19.14/19.53 resolution: (61892) {G1,W12,D2,L3,V4,M3} { coll( X, Z, Y ), ! coll( Z, T,
% 19.14/19.53 X ), ! coll( Z, T, Y ) }.
% 19.14/19.53 parent0[0]: (0) {G0,W8,D2,L2,V3,M2} I { ! coll( X, Y, Z ), coll( X, Z, Y )
% 19.14/19.53 }.
% 19.14/19.53 parent1[2]: (2) {G0,W12,D2,L3,V4,M3} I { ! coll( X, T, Y ), ! coll( X, T, Z
% 19.14/19.53 ), coll( Y, Z, X ) }.
% 19.14/19.53 substitution0:
% 19.14/19.53 X := X
% 19.14/19.53 Y := Y
% 19.14/19.53 Z := Z
% 19.14/19.53 end
% 19.14/19.53 substitution1:
% 19.14/19.53 X := Z
% 19.14/19.53 Y := X
% 19.14/19.53 Z := Y
% 19.14/19.53 T := T
% 19.14/19.53 end
% 19.14/19.53
% 19.14/19.53 subsumption: (213) {G1,W12,D2,L3,V4,M3} R(2,0) { ! coll( X, Y, Z ), ! coll
% 19.14/19.53 ( X, Y, T ), coll( Z, X, T ) }.
% 19.14/19.53 parent0: (61892) {G1,W12,D2,L3,V4,M3} { coll( X, Z, Y ), ! coll( Z, T, X )
% 19.14/19.53 , ! coll( Z, T, Y ) }.
% 19.14/19.53 substitution0:
% 19.14/19.53 X := Z
% 19.14/19.53 Y := T
% 19.14/19.53 Z := X
% 19.14/19.53 T := Y
% 19.14/19.53 end
% 19.14/19.53 permutation0:
% 19.14/19.53 0 ==> 2
% 19.14/19.53 1 ==> 0
% 19.14/19.53 2 ==> 1
% 19.14/19.53 end
% 19.14/19.53
% 19.14/19.53 factor: (61894) {G1,W8,D2,L2,V3,M2} { ! coll( X, Y, Z ), coll( Z, X, Z )
% 19.14/19.53 }.
% 19.14/19.53 parent0[0, 1]: (213) {G1,W12,D2,L3,V4,M3} R(2,0) { ! coll( X, Y, Z ), !
% 19.14/19.53 coll( X, Y, T ), coll( Z, X, T ) }.
% 19.14/19.53 substitution0:
% 19.14/19.53 X := X
% 19.14/19.53 Y := Y
% 19.14/19.53 Z := Z
% 19.14/19.53 T := Z
% 19.14/19.53 end
% 19.14/19.53
% 19.14/19.53 subsumption: (218) {G2,W8,D2,L2,V3,M2} F(213) { ! coll( X, Y, Z ), coll( Z
% 19.14/19.53 , X, Z ) }.
% 19.14/19.53 parent0: (61894) {G1,W8,D2,L2,V3,M2} { ! coll( X, Y, Z ), coll( Z, X, Z )
% 19.14/19.53 }.
% 19.14/19.53 substitution0:
% 19.14/19.53 X := X
% 19.14/19.53 Y := Y
% 19.14/19.53 Z := Z
% 19.14/19.53 end
% 19.14/19.53 permutation0:
% 19.14/19.53 0 ==> 0
% 19.14/19.53 1 ==> 1
% 19.14/19.53 end
% 19.14/19.53
% 19.14/19.53 resolution: (61895) {G1,W4,D2,L1,V0,M1} { coll( skol26, skol27, skol20 )
% 19.14/19.53 }.
% 19.14/19.53 parent0[0]: (1) {G0,W8,D2,L2,V3,M2} I { ! coll( X, Y, Z ), coll( Y, X, Z )
% 19.14/19.53 }.
% 19.14/19.53 parent1[0]: (182) {G1,W4,D2,L1,V0,M1} R(69,117) { coll( skol27, skol26,
% 19.14/19.53 skol20 ) }.
% 19.14/19.53 substitution0:
% 19.14/19.53 X := skol27
% 19.14/19.53 Y := skol26
% 19.14/19.53 Z := skol20
% 19.14/19.53 end
% 19.14/19.53 substitution1:
% 19.14/19.53 end
% 19.14/19.53
% 19.14/19.53 subsumption: (232) {G2,W4,D2,L1,V0,M1} R(182,1) { coll( skol26, skol27,
% 19.14/19.53 skol20 ) }.
% 19.14/19.53 parent0: (61895) {G1,W4,D2,L1,V0,M1} { coll( skol26, skol27, skol20 ) }.
% 19.14/19.53 substitution0:
% 19.14/19.53 end
% 19.14/19.53 permutation0:
% 19.14/19.53 0 ==> 0
% 19.14/19.53 end
% 19.14/19.53
% 19.14/19.53 resolution: (61896) {G1,W4,D2,L1,V0,M1} { coll( skol26, skol20, skol27 )
% 19.14/19.53 }.
% 19.14/19.53 parent0[0]: (0) {G0,W8,D2,L2,V3,M2} I { ! coll( X, Y, Z ), coll( X, Z, Y )
% 19.14/19.53 }.
% 19.14/19.53 parent1[0]: (232) {G2,W4,D2,L1,V0,M1} R(182,1) { coll( skol26, skol27,
% 19.14/19.53 skol20 ) }.
% 19.14/19.53 substitution0:
% 19.14/19.53 X := skol26
% 19.14/19.53 Y := skol27
% 19.14/19.53 Z := skol20
% 19.14/19.53 end
% 19.14/19.53 substitution1:
% 19.14/19.53 end
% 19.14/19.53
% 19.14/19.53 subsumption: (236) {G3,W4,D2,L1,V0,M1} R(232,0) { coll( skol26, skol20,
% 19.14/19.53 skol27 ) }.
% 19.14/19.53 parent0: (61896) {G1,W4,D2,L1,V0,M1} { coll( skol26, skol20, skol27 ) }.
% 19.14/19.53 substitution0:
% 19.14/19.53 end
% 19.14/19.53 permutation0:
% 19.14/19.53 0 ==> 0
% 19.14/19.53 end
% 19.14/19.53
% 19.14/19.53 resolution: (61897) {G1,W4,D2,L1,V0,M1} { coll( skol20, skol26, skol27 )
% 19.14/19.53 }.
% 19.14/19.53 parent0[0]: (1) {G0,W8,D2,L2,V3,M2} I { ! coll( X, Y, Z ), coll( Y, X, Z )
% 19.14/19.53 }.
% 19.14/19.53 parent1[0]: (236) {G3,W4,D2,L1,V0,M1} R(232,0) { coll( skol26, skol20,
% 19.14/19.53 skol27 ) }.
% 19.14/19.53 substitution0:
% 19.14/19.53 X := skol26
% 19.14/19.53 Y := skol20
% 19.14/19.53 Z := skol27
% 19.14/19.53 end
% 19.14/19.53 substitution1:
% 19.14/19.53 end
% 19.14/19.53
% 19.14/19.53 subsumption: (239) {G4,W4,D2,L1,V0,M1} R(236,1) { coll( skol20, skol26,
% 19.14/19.53 skol27 ) }.
% 19.14/19.53 parent0: (61897) {G1,W4,D2,L1,V0,M1} { coll( skol20, skol26, skol27 ) }.
% 19.14/19.53 substitution0:
% 19.14/19.53 end
% 19.14/19.53 permutation0:
% 19.14/19.53 0 ==> 0
% 19.14/19.53 end
% 19.14/19.53
% 19.14/19.53 resolution: (61898) {G1,W4,D2,L1,V0,M1} { coll( skol20, skol27, skol26 )
% 19.14/19.53 }.
% 19.14/19.53 parent0[0]: (0) {G0,W8,D2,L2,V3,M2} I { ! coll( X, Y, Z ), coll( X, Z, Y )
% 19.14/19.53 }.
% 19.14/19.53 parent1[0]: (239) {G4,W4,D2,L1,V0,M1} R(236,1) { coll( skol20, skol26,
% 19.14/19.53 skol27 ) }.
% 19.14/19.53 substitution0:
% 19.14/19.53 X := skol20
% 19.14/19.53 Y := skol26
% 19.14/19.53 Z := skol27
% 19.14/19.53 end
% 19.14/19.53 substitution1:
% 19.14/19.53 end
% 19.14/19.53
% 19.14/19.53 subsumption: (242) {G5,W4,D2,L1,V0,M1} R(239,0) { coll( skol20, skol27,
% 19.14/19.53 skol26 ) }.
% 19.14/19.53 parent0: (61898) {G1,W4,D2,L1,V0,M1} { coll( skol20, skol27, skol26 ) }.
% 19.14/19.53 substitution0:
% 19.14/19.53 end
% 19.14/19.53 permutation0:
% 19.14/19.53 0 ==> 0
% 19.14/19.53 end
% 19.14/19.53
% 19.14/19.53 resolution: (61900) {G1,W10,D2,L2,V4,M2} { para( X, Y, T, Z ), ! para( Z,
% 19.14/19.53 T, X, Y ) }.
% 19.14/19.53 parent0[0]: (3) {G0,W10,D2,L2,V4,M2} I { ! para( X, Y, Z, T ), para( X, Y,
% 19.14/19.53 T, Z ) }.
% 19.14/19.53 parent1[1]: (4) {G0,W10,D2,L2,V4,M2} I { ! para( X, Y, Z, T ), para( Z, T,
% 19.14/19.53 X, Y ) }.
% 19.14/19.53 substitution0:
% 19.14/19.53 X := X
% 19.14/19.53 Y := Y
% 19.14/19.53 Z := Z
% 19.14/19.53 T := T
% 19.14/19.53 end
% 19.14/19.53 substitution1:
% 19.14/19.53 X := Z
% 19.14/19.53 Y := T
% 19.14/19.53 Z := X
% 19.14/19.53 T := Y
% 19.14/19.53 end
% 19.14/19.53
% 19.14/19.53 subsumption: (244) {G1,W10,D2,L2,V4,M2} R(4,3) { ! para( X, Y, Z, T ), para
% 19.14/19.53 ( Z, T, Y, X ) }.
% 19.14/19.53 parent0: (61900) {G1,W10,D2,L2,V4,M2} { para( X, Y, T, Z ), ! para( Z, T,
% 19.14/19.53 X, Y ) }.
% 19.14/19.53 substitution0:
% 19.14/19.53 X := Z
% 19.14/19.53 Y := T
% 19.14/19.53 Z := X
% 19.14/19.53 T := Y
% 19.14/19.53 end
% 19.14/19.53 permutation0:
% 19.14/19.53 0 ==> 1
% 19.14/19.53 1 ==> 0
% 19.14/19.53 end
% 19.14/19.53
% 19.14/19.53 resolution: (61901) {G3,W4,D2,L1,V0,M1} { coll( skol26, skol20, skol26 )
% 19.14/19.53 }.
% 19.14/19.53 parent0[0]: (218) {G2,W8,D2,L2,V3,M2} F(213) { ! coll( X, Y, Z ), coll( Z,
% 19.14/19.53 X, Z ) }.
% 19.14/19.53 parent1[0]: (242) {G5,W4,D2,L1,V0,M1} R(239,0) { coll( skol20, skol27,
% 19.14/19.53 skol26 ) }.
% 19.14/19.53 substitution0:
% 19.14/19.53 X := skol20
% 19.14/19.53 Y := skol27
% 19.14/19.53 Z := skol26
% 19.14/19.53 end
% 19.14/19.53 substitution1:
% 19.14/19.53 end
% 19.14/19.53
% 19.14/19.53 subsumption: (251) {G6,W4,D2,L1,V0,M1} R(218,242) { coll( skol26, skol20,
% 19.14/19.53 skol26 ) }.
% 19.14/19.53 parent0: (61901) {G3,W4,D2,L1,V0,M1} { coll( skol26, skol20, skol26 ) }.
% 19.14/19.53 substitution0:
% 19.14/19.53 end
% 19.14/19.53 permutation0:
% 19.14/19.53 0 ==> 0
% 19.14/19.53 end
% 19.14/19.53
% 19.14/19.53 resolution: (61902) {G3,W4,D2,L1,V0,M1} { coll( skol20, skol26, skol20 )
% 19.14/19.53 }.
% 19.14/19.53 parent0[0]: (218) {G2,W8,D2,L2,V3,M2} F(213) { ! coll( X, Y, Z ), coll( Z,
% 19.14/19.53 X, Z ) }.
% 19.14/19.53 parent1[0]: (232) {G2,W4,D2,L1,V0,M1} R(182,1) { coll( skol26, skol27,
% 19.14/19.53 skol20 ) }.
% 19.14/19.53 substitution0:
% 19.14/19.53 X := skol26
% 19.14/19.53 Y := skol27
% 19.14/19.53 Z := skol20
% 19.14/19.53 end
% 19.14/19.53 substitution1:
% 19.14/19.53 end
% 19.14/19.53
% 19.14/19.53 subsumption: (254) {G3,W4,D2,L1,V0,M1} R(218,232) { coll( skol20, skol26,
% 19.14/19.53 skol20 ) }.
% 19.14/19.53 parent0: (61902) {G3,W4,D2,L1,V0,M1} { coll( skol20, skol26, skol20 ) }.
% 19.14/19.53 substitution0:
% 19.14/19.53 end
% 19.14/19.53 permutation0:
% 19.14/19.53 0 ==> 0
% 19.14/19.53 end
% 19.14/19.53
% 19.14/19.53 resolution: (61903) {G1,W12,D2,L3,V4,M3} { coll( Z, X, Z ), ! coll( Z, T,
% 19.14/19.53 X ), ! coll( Z, T, Y ) }.
% 19.14/19.53 parent0[0]: (218) {G2,W8,D2,L2,V3,M2} F(213) { ! coll( X, Y, Z ), coll( Z,
% 19.14/19.53 X, Z ) }.
% 19.14/19.53 parent1[2]: (2) {G0,W12,D2,L3,V4,M3} I { ! coll( X, T, Y ), ! coll( X, T, Z
% 19.14/19.53 ), coll( Y, Z, X ) }.
% 19.14/19.53 substitution0:
% 19.14/19.53 X := X
% 19.14/19.53 Y := Y
% 19.14/19.53 Z := Z
% 19.14/19.53 end
% 19.14/19.53 substitution1:
% 19.14/19.53 X := Z
% 19.14/19.53 Y := X
% 19.14/19.53 Z := Y
% 19.14/19.53 T := T
% 19.14/19.53 end
% 19.14/19.53
% 19.14/19.53 subsumption: (260) {G3,W12,D2,L3,V4,M3} R(218,2) { coll( X, Y, X ), ! coll
% 19.14/19.53 ( X, Z, Y ), ! coll( X, Z, T ) }.
% 19.14/19.53 parent0: (61903) {G1,W12,D2,L3,V4,M3} { coll( Z, X, Z ), ! coll( Z, T, X )
% 19.14/19.53 , ! coll( Z, T, Y ) }.
% 19.14/19.53 substitution0:
% 19.14/19.53 X := Y
% 19.14/19.53 Y := Y
% 19.14/19.53 Z := X
% 19.14/19.53 T := Z
% 19.14/19.53 end
% 19.14/19.53 permutation0:
% 19.14/19.53 0 ==> 0
% 19.14/19.53 1 ==> 1
% 19.14/19.53 2 ==> 1
% 19.14/19.53 end
% 19.14/19.53
% 19.14/19.53 factor: (61905) {G3,W8,D2,L2,V3,M2} { coll( X, Y, X ), ! coll( X, Z, Y )
% 19.14/19.53 }.
% 19.14/19.53 parent0[1, 2]: (260) {G3,W12,D2,L3,V4,M3} R(218,2) { coll( X, Y, X ), !
% 19.14/19.53 coll( X, Z, Y ), ! coll( X, Z, T ) }.
% 19.14/19.53 substitution0:
% 19.14/19.53 X := X
% 19.14/19.53 Y := Y
% 19.14/19.53 Z := Z
% 19.14/19.53 T := Y
% 19.14/19.53 end
% 19.14/19.53
% 19.14/19.53 subsumption: (274) {G4,W8,D2,L2,V3,M2} F(260) { coll( X, Y, X ), ! coll( X
% 19.14/19.53 , Z, Y ) }.
% 19.14/19.53 parent0: (61905) {G3,W8,D2,L2,V3,M2} { coll( X, Y, X ), ! coll( X, Z, Y )
% 19.14/19.53 }.
% 19.14/19.53 substitution0:
% 19.14/19.53 X := X
% 19.14/19.53 Y := Y
% 19.14/19.53 Z := Z
% 19.14/19.53 end
% 19.14/19.53 permutation0:
% 19.14/19.53 0 ==> 0
% 19.14/19.53 1 ==> 1
% 19.14/19.53 end
% 19.14/19.53
% 19.14/19.53 resolution: (61906) {G1,W4,D2,L1,V0,M1} { coll( skol26, skol26, skol20 )
% 19.14/19.53 }.
% 19.14/19.53 parent0[0]: (0) {G0,W8,D2,L2,V3,M2} I { ! coll( X, Y, Z ), coll( X, Z, Y )
% 19.14/19.53 }.
% 19.14/19.53 parent1[0]: (251) {G6,W4,D2,L1,V0,M1} R(218,242) { coll( skol26, skol20,
% 19.14/19.53 skol26 ) }.
% 19.14/19.53 substitution0:
% 19.14/19.53 X := skol26
% 19.14/19.53 Y := skol20
% 19.14/19.53 Z := skol26
% 19.14/19.53 end
% 19.14/19.53 substitution1:
% 19.14/19.53 end
% 19.14/19.53
% 19.14/19.53 subsumption: (292) {G7,W4,D2,L1,V0,M1} R(251,0) { coll( skol26, skol26,
% 19.14/19.53 skol20 ) }.
% 19.14/19.53 parent0: (61906) {G1,W4,D2,L1,V0,M1} { coll( skol26, skol26, skol20 ) }.
% 19.14/19.53 substitution0:
% 19.14/19.53 end
% 19.14/19.53 permutation0:
% 19.14/19.53 0 ==> 0
% 19.14/19.53 end
% 19.14/19.53
% 19.14/19.53 resolution: (61907) {G1,W15,D2,L3,V6,M3} { para( Z, T, X, Y ), ! perp( X,
% 19.14/19.53 Y, U, W ), ! perp( U, W, Z, T ) }.
% 19.14/19.53 parent0[0]: (4) {G0,W10,D2,L2,V4,M2} I { ! para( X, Y, Z, T ), para( Z, T,
% 19.14/19.53 X, Y ) }.
% 19.14/19.53 parent1[2]: (8) {G0,W15,D2,L3,V6,M3} I { ! perp( X, Y, U, W ), ! perp( U, W
% 19.14/19.53 , Z, T ), para( X, Y, Z, T ) }.
% 19.14/19.53 substitution0:
% 19.14/19.53 X := X
% 19.14/19.53 Y := Y
% 19.14/19.53 Z := Z
% 19.14/19.53 T := T
% 19.14/19.53 end
% 19.14/19.53 substitution1:
% 19.14/19.53 X := X
% 19.14/19.53 Y := Y
% 19.14/19.53 Z := Z
% 19.14/19.53 T := T
% 19.14/19.53 U := U
% 19.14/19.53 W := W
% 19.14/19.53 end
% 19.14/19.53
% 19.14/19.53 subsumption: (315) {G1,W15,D2,L3,V6,M3} R(8,4) { ! perp( X, Y, Z, T ), !
% 19.14/19.53 perp( Z, T, U, W ), para( U, W, X, Y ) }.
% 19.14/19.53 parent0: (61907) {G1,W15,D2,L3,V6,M3} { para( Z, T, X, Y ), ! perp( X, Y,
% 19.14/19.53 U, W ), ! perp( U, W, Z, T ) }.
% 19.14/19.53 substitution0:
% 19.14/19.53 X := X
% 19.14/19.53 Y := Y
% 19.14/19.53 Z := U
% 19.14/19.53 T := W
% 19.14/19.53 U := Z
% 19.14/19.53 W := T
% 19.14/19.53 end
% 19.14/19.53 permutation0:
% 19.14/19.53 0 ==> 2
% 19.14/19.53 1 ==> 0
% 19.14/19.53 2 ==> 1
% 19.14/19.53 end
% 19.14/19.53
% 19.14/19.53 resolution: (61909) {G1,W4,D2,L1,V0,M1} { coll( skol20, skol20, skol26 )
% 19.14/19.53 }.
% 19.14/19.53 parent0[0]: (0) {G0,W8,D2,L2,V3,M2} I { ! coll( X, Y, Z ), coll( X, Z, Y )
% 19.14/19.53 }.
% 19.14/19.53 parent1[0]: (254) {G3,W4,D2,L1,V0,M1} R(218,232) { coll( skol20, skol26,
% 19.14/19.53 skol20 ) }.
% 19.14/19.53 substitution0:
% 19.14/19.53 X := skol20
% 19.14/19.53 Y := skol26
% 19.14/19.53 Z := skol20
% 19.14/19.53 end
% 19.14/19.53 substitution1:
% 19.14/19.53 end
% 19.14/19.53
% 19.14/19.53 subsumption: (325) {G4,W4,D2,L1,V0,M1} R(254,0) { coll( skol20, skol20,
% 19.14/19.53 skol26 ) }.
% 19.14/19.53 parent0: (61909) {G1,W4,D2,L1,V0,M1} { coll( skol20, skol20, skol26 ) }.
% 19.14/19.53 substitution0:
% 19.14/19.53 end
% 19.14/19.53 permutation0:
% 19.14/19.53 0 ==> 0
% 19.14/19.53 end
% 19.14/19.53
% 19.14/19.53 resolution: (61910) {G1,W15,D2,L3,V6,M3} { ! para( X, Y, Z, T ), perp( X,
% 19.14/19.53 Y, U, W ), ! perp( U, W, Z, T ) }.
% 19.14/19.53 parent0[1]: (9) {G0,W15,D2,L3,V6,M3} I { ! para( X, Y, U, W ), ! perp( U, W
% 19.14/19.53 , Z, T ), perp( X, Y, Z, T ) }.
% 19.14/19.53 parent1[1]: (7) {G0,W10,D2,L2,V4,M2} I { ! perp( X, Y, Z, T ), perp( Z, T,
% 19.14/19.53 X, Y ) }.
% 19.14/19.53 substitution0:
% 19.14/19.53 X := X
% 19.14/19.53 Y := Y
% 19.14/19.53 Z := U
% 19.14/19.53 T := W
% 19.14/19.53 U := Z
% 19.14/19.53 W := T
% 19.14/19.53 end
% 19.14/19.53 substitution1:
% 19.14/19.53 X := U
% 19.14/19.53 Y := W
% 19.14/19.53 Z := Z
% 19.14/19.53 T := T
% 19.14/19.53 end
% 19.14/19.53
% 19.14/19.53 subsumption: (330) {G1,W15,D2,L3,V6,M3} R(9,7) { ! para( X, Y, Z, T ), perp
% 19.14/19.53 ( X, Y, U, W ), ! perp( U, W, Z, T ) }.
% 19.14/19.53 parent0: (61910) {G1,W15,D2,L3,V6,M3} { ! para( X, Y, Z, T ), perp( X, Y,
% 19.14/19.53 U, W ), ! perp( U, W, Z, T ) }.
% 19.14/19.53 substitution0:
% 19.14/19.53 X := X
% 19.14/19.53 Y := Y
% 19.14/19.53 Z := Z
% 19.14/19.53 T := T
% 19.14/19.53 U := U
% 19.14/19.53 W := W
% 19.14/19.53 end
% 19.14/19.53 permutation0:
% 19.14/19.53 0 ==> 0
% 19.14/19.53 1 ==> 1
% 19.14/19.53 2 ==> 2
% 19.14/19.53 end
% 19.14/19.53
% 19.14/19.53 resolution: (61911) {G1,W4,D2,L1,V0,M1} { midp( skol27, skol20, skol26 )
% 19.14/19.53 }.
% 19.14/19.53 parent0[0]: (10) {G0,W8,D2,L2,V3,M2} I { ! midp( Z, Y, X ), midp( Z, X, Y )
% 19.14/19.53 }.
% 19.14/19.53 parent1[0]: (117) {G0,W4,D2,L1,V0,M1} I { midp( skol27, skol26, skol20 )
% 19.14/19.53 }.
% 19.14/19.53 substitution0:
% 19.14/19.53 X := skol20
% 19.14/19.53 Y := skol26
% 19.14/19.53 Z := skol27
% 19.14/19.53 end
% 19.14/19.53 substitution1:
% 19.14/19.53 end
% 19.14/19.53
% 19.14/19.53 subsumption: (343) {G1,W4,D2,L1,V0,M1} R(10,117) { midp( skol27, skol20,
% 19.14/19.53 skol26 ) }.
% 19.14/19.53 parent0: (61911) {G1,W4,D2,L1,V0,M1} { midp( skol27, skol20, skol26 ) }.
% 19.14/19.53 substitution0:
% 19.14/19.53 end
% 19.14/19.53 permutation0:
% 19.14/19.53 0 ==> 0
% 19.14/19.53 end
% 19.14/19.53
% 19.14/19.53 resolution: (61912) {G1,W10,D2,L2,V4,M2} { cyclic( Y, X, Z, T ), ! cyclic
% 19.14/19.53 ( X, Z, Y, T ) }.
% 19.14/19.53 parent0[0]: (15) {G0,W10,D2,L2,V4,M2} I { ! cyclic( X, Y, Z, T ), cyclic( Y
% 19.14/19.53 , X, Z, T ) }.
% 19.14/19.53 parent1[1]: (14) {G0,W10,D2,L2,V4,M2} I { ! cyclic( X, Y, Z, T ), cyclic( X
% 19.14/19.53 , Z, Y, T ) }.
% 19.14/19.53 substitution0:
% 19.14/19.53 X := X
% 19.14/19.53 Y := Y
% 19.14/19.53 Z := Z
% 19.14/19.53 T := T
% 19.14/19.53 end
% 19.14/19.53 substitution1:
% 19.14/19.53 X := X
% 19.14/19.53 Y := Z
% 19.14/19.53 Z := Y
% 19.14/19.53 T := T
% 19.14/19.53 end
% 19.14/19.53
% 19.14/19.53 subsumption: (383) {G1,W10,D2,L2,V4,M2} R(15,14) { cyclic( X, Y, Z, T ), !
% 19.14/19.53 cyclic( Y, Z, X, T ) }.
% 19.14/19.53 parent0: (61912) {G1,W10,D2,L2,V4,M2} { cyclic( Y, X, Z, T ), ! cyclic( X
% 19.14/19.53 , Z, Y, T ) }.
% 19.14/19.53 substitution0:
% 19.14/19.53 X := Y
% 19.14/19.53 Y := X
% 19.14/19.53 Z := Z
% 19.14/19.53 T := T
% 19.14/19.53 end
% 19.14/19.53 permutation0:
% 19.14/19.53 0 ==> 0
% 19.14/19.53 1 ==> 1
% 19.14/19.53 end
% 19.14/19.53
% 19.14/19.53 resolution: (61914) {G1,W10,D2,L2,V4,M2} { cyclic( X, Z, Y, T ), ! cyclic
% 19.14/19.53 ( Y, X, Z, T ) }.
% 19.14/19.53 parent0[0]: (14) {G0,W10,D2,L2,V4,M2} I { ! cyclic( X, Y, Z, T ), cyclic( X
% 19.14/19.53 , Z, Y, T ) }.
% 19.14/19.53 parent1[1]: (15) {G0,W10,D2,L2,V4,M2} I { ! cyclic( X, Y, Z, T ), cyclic( Y
% 19.14/19.53 , X, Z, T ) }.
% 19.14/19.53 substitution0:
% 19.14/19.53 X := X
% 19.14/19.53 Y := Y
% 19.14/19.53 Z := Z
% 19.14/19.53 T := T
% 19.14/19.53 end
% 19.14/19.53 substitution1:
% 19.14/19.53 X := Y
% 19.14/19.53 Y := X
% 19.14/19.53 Z := Z
% 19.14/19.53 T := T
% 19.14/19.53 end
% 19.14/19.53
% 19.14/19.53 subsumption: (384) {G1,W10,D2,L2,V4,M2} R(15,14) { ! cyclic( X, Y, Z, T ),
% 19.14/19.53 cyclic( Y, Z, X, T ) }.
% 19.14/19.53 parent0: (61914) {G1,W10,D2,L2,V4,M2} { cyclic( X, Z, Y, T ), ! cyclic( Y
% 19.14/19.53 , X, Z, T ) }.
% 19.14/19.53 substitution0:
% 19.14/19.53 X := Y
% 19.14/19.53 Y := X
% 19.14/19.53 Z := Z
% 19.14/19.53 T := T
% 19.14/19.53 end
% 19.14/19.53 permutation0:
% 19.14/19.53 0 ==> 1
% 19.14/19.53 1 ==> 0
% 19.14/19.53 end
% 19.14/19.53
% 19.14/19.53 resolution: (61916) {G1,W27,D2,L3,V12,M3} { ! eqangle( X, Y, Z, T, U, W,
% 19.14/19.53 V0, V1 ), eqangle( X, Y, Z, T, V2, V3, V4, V5 ), ! eqangle( U, W, V2, V3
% 19.14/19.53 , V0, V1, V4, V5 ) }.
% 19.14/19.53 parent0[1]: (21) {G0,W27,D2,L3,V12,M3} I { ! eqangle( X, Y, Z, T, V2, V3,
% 19.14/19.53 V4, V5 ), ! eqangle( V2, V3, V4, V5, U, W, V0, V1 ), eqangle( X, Y, Z, T
% 19.14/19.53 , U, W, V0, V1 ) }.
% 19.14/19.53 parent1[1]: (20) {G0,W18,D2,L2,V8,M2} I { ! eqangle( X, Y, Z, T, U, W, V0,
% 19.14/19.53 V1 ), eqangle( X, Y, U, W, Z, T, V0, V1 ) }.
% 19.14/19.53 substitution0:
% 19.14/19.53 X := X
% 19.14/19.53 Y := Y
% 19.14/19.53 Z := Z
% 19.14/19.53 T := T
% 19.14/19.53 U := V2
% 19.14/19.53 W := V3
% 19.14/19.53 V0 := V4
% 19.14/19.53 V1 := V5
% 19.14/19.53 V2 := U
% 19.14/19.53 V3 := W
% 19.14/19.53 V4 := V0
% 19.14/19.53 V5 := V1
% 19.14/19.53 end
% 19.14/19.53 substitution1:
% 19.14/19.53 X := U
% 19.14/19.53 Y := W
% 19.14/19.53 Z := V2
% 19.14/19.53 T := V3
% 19.14/19.53 U := V0
% 19.14/19.53 W := V1
% 19.14/19.53 V0 := V4
% 19.14/19.53 V1 := V5
% 19.14/19.53 end
% 19.14/19.53
% 19.14/19.53 subsumption: (461) {G1,W27,D2,L3,V12,M3} R(21,20) { ! eqangle( X, Y, Z, T,
% 19.14/19.53 U, W, V0, V1 ), eqangle( X, Y, Z, T, V2, V3, V4, V5 ), ! eqangle( U, W,
% 19.14/19.53 V2, V3, V0, V1, V4, V5 ) }.
% 19.14/19.53 parent0: (61916) {G1,W27,D2,L3,V12,M3} { ! eqangle( X, Y, Z, T, U, W, V0,
% 19.14/19.53 V1 ), eqangle( X, Y, Z, T, V2, V3, V4, V5 ), ! eqangle( U, W, V2, V3, V0
% 19.14/19.53 , V1, V4, V5 ) }.
% 19.14/19.53 substitution0:
% 19.14/19.53 X := X
% 19.14/19.53 Y := Y
% 19.14/19.53 Z := Z
% 19.14/19.53 T := T
% 19.14/19.53 U := U
% 19.14/19.53 W := W
% 19.14/19.53 V0 := V0
% 19.14/19.53 V1 := V1
% 19.14/19.53 V2 := V2
% 19.14/19.53 V3 := V3
% 19.14/19.53 V4 := V4
% 19.14/19.53 V5 := V5
% 19.14/19.53 end
% 19.14/19.53 permutation0:
% 19.14/19.53 0 ==> 0
% 19.14/19.53 1 ==> 1
% 19.14/19.53 2 ==> 2
% 19.14/19.53 end
% 19.14/19.53
% 19.14/19.53 resolution: (61920) {G1,W8,D2,L2,V3,M2} { coll( Y, X, X ), ! coll( X, Z, Y
% 19.14/19.53 ) }.
% 19.14/19.53 parent0[0]: (1) {G0,W8,D2,L2,V3,M2} I { ! coll( X, Y, Z ), coll( Y, X, Z )
% 19.14/19.53 }.
% 19.14/19.53 parent1[0]: (274) {G4,W8,D2,L2,V3,M2} F(260) { coll( X, Y, X ), ! coll( X,
% 19.14/19.53 Z, Y ) }.
% 19.14/19.53 substitution0:
% 19.14/19.53 X := X
% 19.14/19.53 Y := Y
% 19.14/19.53 Z := X
% 19.14/19.53 end
% 19.14/19.53 substitution1:
% 19.14/19.53 X := X
% 19.14/19.53 Y := Y
% 19.14/19.53 Z := Z
% 19.14/19.53 end
% 19.14/19.53
% 19.14/19.53 subsumption: (473) {G5,W8,D2,L2,V3,M2} R(274,1) { ! coll( X, Y, Z ), coll(
% 19.14/19.53 Z, X, X ) }.
% 19.14/19.53 parent0: (61920) {G1,W8,D2,L2,V3,M2} { coll( Y, X, X ), ! coll( X, Z, Y )
% 19.14/19.53 }.
% 19.14/19.53 substitution0:
% 19.14/19.53 X := X
% 19.14/19.53 Y := Z
% 19.14/19.53 Z := Y
% 19.14/19.53 end
% 19.14/19.53 permutation0:
% 19.14/19.53 0 ==> 1
% 19.14/19.53 1 ==> 0
% 19.14/19.53 end
% 19.14/19.53
% 19.14/19.53 resolution: (61921) {G1,W8,D2,L2,V3,M2} { coll( Z, X, X ), ! coll( Y, X, Z
% 19.14/19.53 ) }.
% 19.14/19.53 parent0[0]: (473) {G5,W8,D2,L2,V3,M2} R(274,1) { ! coll( X, Y, Z ), coll( Z
% 19.14/19.53 , X, X ) }.
% 19.14/19.53 parent1[1]: (1) {G0,W8,D2,L2,V3,M2} I { ! coll( X, Y, Z ), coll( Y, X, Z )
% 19.14/19.53 }.
% 19.14/19.53 substitution0:
% 19.14/19.53 X := X
% 19.14/19.53 Y := Y
% 19.14/19.53 Z := Z
% 19.14/19.53 end
% 19.14/19.53 substitution1:
% 19.14/19.53 X := Y
% 19.14/19.53 Y := X
% 19.14/19.53 Z := Z
% 19.14/19.53 end
% 19.14/19.53
% 19.14/19.53 subsumption: (487) {G6,W8,D2,L2,V3,M2} R(473,1) { coll( X, Y, Y ), ! coll(
% 19.14/19.53 Z, Y, X ) }.
% 19.14/19.53 parent0: (61921) {G1,W8,D2,L2,V3,M2} { coll( Z, X, X ), ! coll( Y, X, Z )
% 19.14/19.53 }.
% 19.14/19.53 substitution0:
% 19.14/19.53 X := Y
% 19.14/19.53 Y := Z
% 19.14/19.53 Z := X
% 19.14/19.53 end
% 19.14/19.53 permutation0:
% 19.14/19.53 0 ==> 0
% 19.14/19.53 1 ==> 1
% 19.14/19.53 end
% 19.14/19.53
% 19.14/19.53 resolution: (61923) {G6,W8,D2,L2,V3,M2} { coll( Y, X, X ), ! coll( Z, Y, X
% 19.14/19.53 ) }.
% 19.14/19.53 parent0[0]: (473) {G5,W8,D2,L2,V3,M2} R(274,1) { ! coll( X, Y, Z ), coll( Z
% 19.14/19.53 , X, X ) }.
% 19.14/19.53 parent1[0]: (487) {G6,W8,D2,L2,V3,M2} R(473,1) { coll( X, Y, Y ), ! coll( Z
% 19.14/19.53 , Y, X ) }.
% 19.14/19.53 substitution0:
% 19.14/19.53 X := X
% 19.14/19.53 Y := Y
% 19.14/19.53 Z := Y
% 19.14/19.53 end
% 19.14/19.53 substitution1:
% 19.14/19.53 X := X
% 19.14/19.53 Y := Y
% 19.14/19.53 Z := Z
% 19.14/19.53 end
% 19.14/19.53
% 19.14/19.53 subsumption: (490) {G7,W8,D2,L2,V3,M2} R(487,473) { ! coll( X, Y, Z ), coll
% 19.14/19.53 ( Y, Z, Z ) }.
% 19.14/19.53 parent0: (61923) {G6,W8,D2,L2,V3,M2} { coll( Y, X, X ), ! coll( Z, Y, X )
% 19.14/19.53 }.
% 19.14/19.53 substitution0:
% 19.14/19.53 X := Z
% 19.14/19.53 Y := Y
% 19.14/19.53 Z := X
% 19.14/19.53 end
% 19.14/19.53 permutation0:
% 19.14/19.53 0 ==> 1
% 19.14/19.53 1 ==> 0
% 19.14/19.53 end
% 19.14/19.53
% 19.14/19.53 resolution: (61924) {G1,W8,D2,L2,V3,M2} { coll( Y, Z, Z ), ! midp( X, Y, Z
% 19.14/19.53 ) }.
% 19.14/19.53 parent0[0]: (490) {G7,W8,D2,L2,V3,M2} R(487,473) { ! coll( X, Y, Z ), coll
% 19.14/19.53 ( Y, Z, Z ) }.
% 19.14/19.53 parent1[1]: (69) {G0,W8,D2,L2,V3,M2} I { ! midp( X, Y, Z ), coll( X, Y, Z )
% 19.14/19.53 }.
% 19.14/19.53 substitution0:
% 19.14/19.53 X := X
% 19.14/19.53 Y := Y
% 19.14/19.53 Z := Z
% 19.14/19.53 end
% 19.14/19.53 substitution1:
% 19.14/19.53 X := X
% 19.14/19.53 Y := Y
% 19.14/19.53 Z := Z
% 19.14/19.53 end
% 19.14/19.53
% 19.14/19.53 subsumption: (494) {G8,W8,D2,L2,V3,M2} R(490,69) { coll( X, Y, Y ), ! midp
% 19.14/19.53 ( Z, X, Y ) }.
% 19.14/19.53 parent0: (61924) {G1,W8,D2,L2,V3,M2} { coll( Y, Z, Z ), ! midp( X, Y, Z )
% 19.14/19.53 }.
% 19.14/19.53 substitution0:
% 19.14/19.53 X := Z
% 19.14/19.53 Y := X
% 19.14/19.53 Z := Y
% 19.14/19.53 end
% 19.14/19.53 permutation0:
% 19.14/19.53 0 ==> 0
% 19.14/19.53 1 ==> 1
% 19.14/19.53 end
% 19.14/19.53
% 19.14/19.53 resolution: (61925) {G5,W8,D2,L2,V3,M2} { coll( X, Y, X ), ! midp( Z, X, Y
% 19.14/19.53 ) }.
% 19.14/19.53 parent0[1]: (274) {G4,W8,D2,L2,V3,M2} F(260) { coll( X, Y, X ), ! coll( X,
% 19.14/19.53 Z, Y ) }.
% 19.14/19.53 parent1[0]: (494) {G8,W8,D2,L2,V3,M2} R(490,69) { coll( X, Y, Y ), ! midp(
% 19.14/19.53 Z, X, Y ) }.
% 19.14/19.53 substitution0:
% 19.14/19.53 X := X
% 19.14/19.53 Y := Y
% 19.14/19.53 Z := Y
% 19.14/19.53 end
% 19.14/19.53 substitution1:
% 19.14/19.53 X := X
% 19.14/19.53 Y := Y
% 19.14/19.53 Z := Z
% 19.14/19.53 end
% 19.14/19.53
% 19.14/19.53 subsumption: (495) {G9,W8,D2,L2,V3,M2} R(494,274) { ! midp( X, Y, Z ), coll
% 19.14/19.53 ( Y, Z, Y ) }.
% 19.14/19.53 parent0: (61925) {G5,W8,D2,L2,V3,M2} { coll( X, Y, X ), ! midp( Z, X, Y )
% 19.14/19.53 }.
% 19.14/19.53 substitution0:
% 19.14/19.53 X := Y
% 19.14/19.53 Y := Z
% 19.14/19.53 Z := X
% 19.14/19.53 end
% 19.14/19.53 permutation0:
% 19.14/19.53 0 ==> 1
% 19.14/19.53 1 ==> 0
% 19.14/19.53 end
% 19.14/19.53
% 19.14/19.53 resolution: (61926) {G1,W8,D2,L2,V3,M2} { coll( X, X, Y ), ! midp( Z, X, Y
% 19.14/19.53 ) }.
% 19.14/19.53 parent0[0]: (0) {G0,W8,D2,L2,V3,M2} I { ! coll( X, Y, Z ), coll( X, Z, Y )
% 19.14/19.53 }.
% 19.14/19.53 parent1[1]: (495) {G9,W8,D2,L2,V3,M2} R(494,274) { ! midp( X, Y, Z ), coll
% 19.14/19.53 ( Y, Z, Y ) }.
% 19.14/19.53 substitution0:
% 19.14/19.53 X := X
% 19.14/19.53 Y := Y
% 19.14/19.53 Z := X
% 19.14/19.53 end
% 19.14/19.53 substitution1:
% 19.14/19.53 X := Z
% 19.14/19.53 Y := X
% 19.14/19.53 Z := Y
% 19.14/19.53 end
% 19.14/19.53
% 19.14/19.53 subsumption: (508) {G10,W8,D2,L2,V3,M2} R(495,0) { ! midp( X, Y, Z ), coll
% 19.14/19.53 ( Y, Y, Z ) }.
% 19.14/19.53 parent0: (61926) {G1,W8,D2,L2,V3,M2} { coll( X, X, Y ), ! midp( Z, X, Y )
% 19.14/19.53 }.
% 19.14/19.53 substitution0:
% 19.14/19.53 X := Y
% 19.14/19.53 Y := Z
% 19.14/19.53 Z := X
% 19.14/19.53 end
% 19.14/19.53 permutation0:
% 19.14/19.53 0 ==> 1
% 19.14/19.53 1 ==> 0
% 19.14/19.53 end
% 19.14/19.53
% 19.14/19.53 resolution: (61927) {G1,W14,D2,L2,V6,M2} { eqangle( X, Y, U, W, Z, T, Z, T
% 19.14/19.53 ), ! para( X, Y, U, W ) }.
% 19.14/19.53 parent0[0]: (20) {G0,W18,D2,L2,V8,M2} I { ! eqangle( X, Y, Z, T, U, W, V0,
% 19.14/19.53 V1 ), eqangle( X, Y, U, W, Z, T, V0, V1 ) }.
% 19.14/19.53 parent1[1]: (39) {G0,W14,D2,L2,V6,M2} I { ! para( X, Y, Z, T ), eqangle( X
% 19.14/19.53 , Y, U, W, Z, T, U, W ) }.
% 19.14/19.53 substitution0:
% 19.14/19.53 X := X
% 19.14/19.53 Y := Y
% 19.14/19.53 Z := Z
% 19.14/19.53 T := T
% 19.14/19.53 U := U
% 19.14/19.53 W := W
% 19.14/19.53 V0 := Z
% 19.14/19.53 V1 := T
% 19.14/19.53 end
% 19.14/19.53 substitution1:
% 19.14/19.53 X := X
% 19.14/19.53 Y := Y
% 19.14/19.53 Z := U
% 19.14/19.53 T := W
% 19.14/19.53 U := Z
% 19.14/19.53 W := T
% 19.14/19.53 end
% 19.14/19.53
% 19.14/19.53 subsumption: (786) {G1,W14,D2,L2,V6,M2} R(39,20) { ! para( X, Y, Z, T ),
% 19.14/19.53 eqangle( X, Y, Z, T, U, W, U, W ) }.
% 19.14/19.53 parent0: (61927) {G1,W14,D2,L2,V6,M2} { eqangle( X, Y, U, W, Z, T, Z, T )
% 19.14/19.53 , ! para( X, Y, U, W ) }.
% 19.14/19.53 substitution0:
% 19.14/19.53 X := X
% 19.14/19.53 Y := Y
% 19.14/19.53 Z := U
% 19.14/19.53 T := W
% 19.14/19.53 U := Z
% 19.14/19.53 W := T
% 19.14/19.53 end
% 19.14/19.53 permutation0:
% 19.14/19.53 0 ==> 1
% 19.14/19.53 1 ==> 0
% 19.14/19.53 end
% 19.14/19.53
% 19.14/19.53 resolution: (61928) {G1,W14,D2,L2,V6,M2} { eqangle( Z, T, X, Y, Z, T, U, W
% 19.14/19.53 ), ! para( X, Y, U, W ) }.
% 19.14/19.53 parent0[0]: (18) {G0,W18,D2,L2,V8,M2} I { ! eqangle( X, Y, Z, T, U, W, V0,
% 19.14/19.53 V1 ), eqangle( Z, T, X, Y, V0, V1, U, W ) }.
% 19.14/19.53 parent1[1]: (39) {G0,W14,D2,L2,V6,M2} I { ! para( X, Y, Z, T ), eqangle( X
% 19.14/19.53 , Y, U, W, Z, T, U, W ) }.
% 19.14/19.53 substitution0:
% 19.14/19.53 X := X
% 19.14/19.53 Y := Y
% 19.14/19.53 Z := Z
% 19.14/19.53 T := T
% 19.14/19.53 U := U
% 19.14/19.53 W := W
% 19.14/19.53 V0 := Z
% 19.14/19.53 V1 := T
% 19.14/19.53 end
% 19.14/19.53 substitution1:
% 19.14/19.53 X := X
% 19.14/19.53 Y := Y
% 19.14/19.53 Z := U
% 19.14/19.53 T := W
% 19.14/19.53 U := Z
% 19.14/19.53 W := T
% 19.14/19.53 end
% 19.14/19.53
% 19.14/19.53 subsumption: (788) {G1,W14,D2,L2,V6,M2} R(39,18) { ! para( X, Y, Z, T ),
% 19.14/19.53 eqangle( U, W, X, Y, U, W, Z, T ) }.
% 19.14/19.53 parent0: (61928) {G1,W14,D2,L2,V6,M2} { eqangle( Z, T, X, Y, Z, T, U, W )
% 19.14/19.53 , ! para( X, Y, U, W ) }.
% 19.14/19.53 substitution0:
% 19.14/19.53 X := X
% 19.14/19.53 Y := Y
% 19.14/19.53 Z := U
% 19.14/19.53 T := W
% 19.14/19.53 U := Z
% 19.14/19.53 W := T
% 19.14/19.53 end
% 19.14/19.53 permutation0:
% 19.14/19.53 0 ==> 1
% 19.14/19.53 1 ==> 0
% 19.14/19.53 end
% 19.14/19.53
% 19.14/19.53 resolution: (61929) {G1,W14,D2,L3,V3,M3} { ! coll( X, X, Z ), cyclic( Y, Z
% 19.14/19.53 , X, X ), ! para( X, Y, X, Y ) }.
% 19.14/19.53 parent0[0]: (42) {G0,W18,D2,L3,V4,M3} I { ! eqangle( Z, X, Z, Y, T, X, T, Y
% 19.14/19.53 ), ! coll( Z, T, Y ), cyclic( X, Y, Z, T ) }.
% 19.14/19.53 parent1[1]: (39) {G0,W14,D2,L2,V6,M2} I { ! para( X, Y, Z, T ), eqangle( X
% 19.14/19.53 , Y, U, W, Z, T, U, W ) }.
% 19.14/19.53 substitution0:
% 19.14/19.53 X := Y
% 19.14/19.53 Y := Z
% 19.14/19.53 Z := X
% 19.14/19.53 T := X
% 19.14/19.53 end
% 19.14/19.53 substitution1:
% 19.14/19.53 X := X
% 19.14/19.53 Y := Y
% 19.14/19.53 Z := X
% 19.14/19.53 T := Y
% 19.14/19.53 U := X
% 19.14/19.53 W := Z
% 19.14/19.53 end
% 19.14/19.53
% 19.14/19.53 subsumption: (843) {G1,W14,D2,L3,V3,M3} R(42,39) { ! coll( X, X, Y ),
% 19.14/19.53 cyclic( Z, Y, X, X ), ! para( X, Z, X, Z ) }.
% 19.14/19.53 parent0: (61929) {G1,W14,D2,L3,V3,M3} { ! coll( X, X, Z ), cyclic( Y, Z, X
% 19.14/19.53 , X ), ! para( X, Y, X, Y ) }.
% 19.14/19.53 substitution0:
% 19.14/19.53 X := X
% 19.14/19.53 Y := Z
% 19.14/19.53 Z := Y
% 19.14/19.53 end
% 19.14/19.53 permutation0:
% 19.14/19.53 0 ==> 0
% 19.14/19.53 1 ==> 1
% 19.14/19.53 2 ==> 2
% 19.14/19.53 end
% 19.14/19.53
% 19.14/19.53 resolution: (61930) {G1,W25,D2,L5,V4,M5} { ! cyclic( X, Y, Z, X ), !
% 19.14/19.53 cyclic( X, Y, Z, Y ), ! cyclic( X, Y, Z, T ), cong( X, Y, X, Y ), !
% 19.14/19.53 cyclic( X, Y, Z, T ) }.
% 19.14/19.53 parent0[3]: (43) {G0,W29,D2,L5,V6,M5} I { ! cyclic( X, Y, U, Z ), ! cyclic
% 19.14/19.53 ( X, Y, U, T ), ! cyclic( X, Y, U, W ), ! eqangle( U, X, U, Y, W, Z, W, T
% 19.14/19.53 ), cong( X, Y, Z, T ) }.
% 19.14/19.53 parent1[1]: (40) {G0,W14,D2,L2,V4,M2} I { ! cyclic( X, Y, Z, T ), eqangle(
% 19.14/19.53 Z, X, Z, Y, T, X, T, Y ) }.
% 19.14/19.53 substitution0:
% 19.14/19.53 X := X
% 19.14/19.53 Y := Y
% 19.14/19.53 Z := X
% 19.14/19.53 T := Y
% 19.14/19.53 U := Z
% 19.14/19.53 W := T
% 19.14/19.53 end
% 19.14/19.53 substitution1:
% 19.14/19.53 X := X
% 19.14/19.53 Y := Y
% 19.14/19.53 Z := Z
% 19.14/19.53 T := T
% 19.14/19.53 end
% 19.14/19.53
% 19.14/19.53 factor: (61932) {G1,W20,D2,L4,V3,M4} { ! cyclic( X, Y, Z, X ), ! cyclic( X
% 19.14/19.53 , Y, Z, Y ), cong( X, Y, X, Y ), ! cyclic( X, Y, Z, X ) }.
% 19.14/19.53 parent0[0, 2]: (61930) {G1,W25,D2,L5,V4,M5} { ! cyclic( X, Y, Z, X ), !
% 19.14/19.53 cyclic( X, Y, Z, Y ), ! cyclic( X, Y, Z, T ), cong( X, Y, X, Y ), !
% 19.14/19.53 cyclic( X, Y, Z, T ) }.
% 19.14/19.53 substitution0:
% 19.14/19.53 X := X
% 19.14/19.53 Y := Y
% 19.14/19.53 Z := Z
% 19.14/19.53 T := X
% 19.14/19.53 end
% 19.14/19.53
% 19.14/19.53 subsumption: (947) {G1,W20,D2,L4,V4,M4} R(43,40);f { ! cyclic( X, Y, Z, X )
% 19.14/19.53 , ! cyclic( X, Y, Z, Y ), ! cyclic( X, Y, Z, T ), cong( X, Y, X, Y ) }.
% 19.14/19.53 parent0: (61932) {G1,W20,D2,L4,V3,M4} { ! cyclic( X, Y, Z, X ), ! cyclic(
% 19.14/19.53 X, Y, Z, Y ), cong( X, Y, X, Y ), ! cyclic( X, Y, Z, X ) }.
% 19.14/19.53 substitution0:
% 19.14/19.53 X := X
% 19.14/19.53 Y := Y
% 19.14/19.53 Z := Z
% 19.14/19.53 end
% 19.14/19.53 permutation0:
% 19.14/19.53 0 ==> 0
% 19.14/19.53 1 ==> 1
% 19.14/19.53 2 ==> 3
% 19.14/19.53 3 ==> 0
% 19.14/19.53 end
% 19.14/19.53
% 19.14/19.53 factor: (61937) {G1,W15,D2,L3,V3,M3} { ! cyclic( X, Y, Z, X ), ! cyclic( X
% 19.14/19.53 , Y, Z, Y ), cong( X, Y, X, Y ) }.
% 19.14/19.53 parent0[0, 2]: (947) {G1,W20,D2,L4,V4,M4} R(43,40);f { ! cyclic( X, Y, Z, X
% 19.14/19.53 ), ! cyclic( X, Y, Z, Y ), ! cyclic( X, Y, Z, T ), cong( X, Y, X, Y )
% 19.14/19.53 }.
% 19.14/19.53 substitution0:
% 19.14/19.53 X := X
% 19.14/19.53 Y := Y
% 19.14/19.53 Z := Z
% 19.14/19.53 T := X
% 19.14/19.53 end
% 19.14/19.53
% 19.14/19.53 subsumption: (979) {G2,W15,D2,L3,V3,M3} F(947) { ! cyclic( X, Y, Z, X ), !
% 19.14/19.53 cyclic( X, Y, Z, Y ), cong( X, Y, X, Y ) }.
% 19.14/19.53 parent0: (61937) {G1,W15,D2,L3,V3,M3} { ! cyclic( X, Y, Z, X ), ! cyclic(
% 19.14/19.53 X, Y, Z, Y ), cong( X, Y, X, Y ) }.
% 19.14/19.53 substitution0:
% 19.14/19.53 X := X
% 19.14/19.53 Y := Y
% 19.14/19.53 Z := Z
% 19.14/19.53 end
% 19.14/19.53 permutation0:
% 19.14/19.53 0 ==> 0
% 19.14/19.53 1 ==> 1
% 19.14/19.53 2 ==> 2
% 19.14/19.53 end
% 19.14/19.53
% 19.14/19.53 resolution: (61940) {G1,W20,D2,L4,V6,M4} { ! perp( X, Y, Z, T ), para( X,
% 19.14/19.53 Y, U, W ), ! cong( Z, U, T, U ), ! cong( Z, W, T, W ) }.
% 19.14/19.53 parent0[1]: (8) {G0,W15,D2,L3,V6,M3} I { ! perp( X, Y, U, W ), ! perp( U, W
% 19.14/19.53 , Z, T ), para( X, Y, Z, T ) }.
% 19.14/19.53 parent1[2]: (56) {G0,W15,D2,L3,V4,M3} I { ! cong( X, Z, Y, Z ), ! cong( X,
% 19.14/19.53 T, Y, T ), perp( X, Y, Z, T ) }.
% 19.14/19.53 substitution0:
% 19.14/19.53 X := X
% 19.14/19.53 Y := Y
% 19.14/19.53 Z := U
% 19.14/19.53 T := W
% 19.14/19.53 U := Z
% 19.14/19.53 W := T
% 19.14/19.53 end
% 19.14/19.53 substitution1:
% 19.14/19.53 X := Z
% 19.14/19.53 Y := T
% 19.14/19.53 Z := U
% 19.14/19.53 T := W
% 19.14/19.53 end
% 19.14/19.53
% 19.14/19.53 subsumption: (1632) {G1,W20,D2,L4,V6,M4} R(56,8) { ! cong( X, Y, Z, Y ), !
% 19.14/19.53 cong( X, T, Z, T ), ! perp( U, W, X, Z ), para( U, W, Y, T ) }.
% 19.14/19.53 parent0: (61940) {G1,W20,D2,L4,V6,M4} { ! perp( X, Y, Z, T ), para( X, Y,
% 19.14/19.53 U, W ), ! cong( Z, U, T, U ), ! cong( Z, W, T, W ) }.
% 19.14/19.53 substitution0:
% 19.14/19.53 X := U
% 19.14/19.53 Y := W
% 19.14/19.53 Z := X
% 19.14/19.53 T := Z
% 19.14/19.53 U := Y
% 19.14/19.53 W := T
% 19.14/19.53 end
% 19.14/19.53 permutation0:
% 19.14/19.53 0 ==> 2
% 19.14/19.53 1 ==> 3
% 19.14/19.53 2 ==> 0
% 19.14/19.53 3 ==> 1
% 19.14/19.53 end
% 19.14/19.53
% 19.14/19.53 resolution: (61943) {G1,W15,D2,L3,V4,M3} { perp( Z, T, X, Y ), ! cong( X,
% 19.14/19.53 Z, Y, Z ), ! cong( X, T, Y, T ) }.
% 19.14/19.53 parent0[0]: (7) {G0,W10,D2,L2,V4,M2} I { ! perp( X, Y, Z, T ), perp( Z, T,
% 19.14/19.53 X, Y ) }.
% 19.14/19.53 parent1[2]: (56) {G0,W15,D2,L3,V4,M3} I { ! cong( X, Z, Y, Z ), ! cong( X,
% 19.14/19.53 T, Y, T ), perp( X, Y, Z, T ) }.
% 19.14/19.53 substitution0:
% 19.14/19.53 X := X
% 19.14/19.53 Y := Y
% 19.14/19.53 Z := Z
% 19.14/19.53 T := T
% 19.14/19.53 end
% 19.14/19.53 substitution1:
% 19.14/19.53 X := X
% 19.14/19.53 Y := Y
% 19.14/19.53 Z := Z
% 19.14/19.53 T := T
% 19.14/19.53 end
% 19.14/19.53
% 19.14/19.53 subsumption: (1633) {G1,W15,D2,L3,V4,M3} R(56,7) { ! cong( X, Y, Z, Y ), !
% 19.14/19.53 cong( X, T, Z, T ), perp( Y, T, X, Z ) }.
% 19.14/19.53 parent0: (61943) {G1,W15,D2,L3,V4,M3} { perp( Z, T, X, Y ), ! cong( X, Z,
% 19.14/19.53 Y, Z ), ! cong( X, T, Y, T ) }.
% 19.14/19.53 substitution0:
% 19.14/19.53 X := X
% 19.14/19.53 Y := Z
% 19.14/19.53 Z := Y
% 19.14/19.53 T := T
% 19.14/19.53 end
% 19.14/19.53 permutation0:
% 19.14/19.53 0 ==> 2
% 19.14/19.53 1 ==> 0
% 19.14/19.53 2 ==> 1
% 19.14/19.53 end
% 19.14/19.53
% 19.14/19.53 factor: (61945) {G1,W15,D2,L3,V5,M3} { ! cong( X, Y, Z, Y ), ! perp( T, U
% 19.14/19.53 , X, Z ), para( T, U, Y, Y ) }.
% 19.14/19.53 parent0[0, 1]: (1632) {G1,W20,D2,L4,V6,M4} R(56,8) { ! cong( X, Y, Z, Y ),
% 19.14/19.53 ! cong( X, T, Z, T ), ! perp( U, W, X, Z ), para( U, W, Y, T ) }.
% 19.14/19.53 substitution0:
% 19.14/19.53 X := X
% 19.14/19.53 Y := Y
% 19.14/19.53 Z := Z
% 19.14/19.53 T := Y
% 19.14/19.53 U := T
% 19.14/19.53 W := U
% 19.14/19.53 end
% 19.14/19.53
% 19.14/19.53 subsumption: (1635) {G2,W15,D2,L3,V5,M3} F(1632) { ! cong( X, Y, Z, Y ), !
% 19.14/19.53 perp( T, U, X, Z ), para( T, U, Y, Y ) }.
% 19.14/19.53 parent0: (61945) {G1,W15,D2,L3,V5,M3} { ! cong( X, Y, Z, Y ), ! perp( T, U
% 19.14/19.53 , X, Z ), para( T, U, Y, Y ) }.
% 19.14/19.53 substitution0:
% 19.14/19.53 X := X
% 19.14/19.53 Y := Y
% 19.14/19.53 Z := Z
% 19.14/19.53 T := T
% 19.14/19.53 U := U
% 19.14/19.53 end
% 19.14/19.53 permutation0:
% 19.14/19.53 0 ==> 0
% 19.14/19.53 1 ==> 1
% 19.14/19.53 2 ==> 2
% 19.14/19.53 end
% 19.14/19.53
% 19.14/19.53 resolution: (61947) {G1,W13,D2,L3,V5,M3} { ! midp( X, Y, Z ), para( Y, T,
% 19.14/19.53 Z, U ), ! midp( X, U, T ) }.
% 19.14/19.53 parent0[1]: (63) {G0,W13,D2,L3,V5,M3} I { ! midp( U, X, Y ), ! midp( U, Z,
% 19.14/19.53 T ), para( X, Z, Y, T ) }.
% 19.14/19.53 parent1[1]: (10) {G0,W8,D2,L2,V3,M2} I { ! midp( Z, Y, X ), midp( Z, X, Y )
% 19.14/19.53 }.
% 19.14/19.53 substitution0:
% 19.14/19.53 X := Y
% 19.14/19.53 Y := Z
% 19.14/19.53 Z := T
% 19.14/19.53 T := U
% 19.14/19.53 U := X
% 19.14/19.53 end
% 19.14/19.53 substitution1:
% 19.14/19.53 X := T
% 19.14/19.53 Y := U
% 19.14/19.53 Z := X
% 19.14/19.53 end
% 19.14/19.53
% 19.14/19.53 subsumption: (1850) {G1,W13,D2,L3,V5,M3} R(63,10) { ! midp( X, Y, Z ), para
% 19.14/19.53 ( Y, T, Z, U ), ! midp( X, U, T ) }.
% 19.14/19.53 parent0: (61947) {G1,W13,D2,L3,V5,M3} { ! midp( X, Y, Z ), para( Y, T, Z,
% 19.14/19.53 U ), ! midp( X, U, T ) }.
% 19.14/19.53 substitution0:
% 19.14/19.53 X := X
% 19.14/19.53 Y := Y
% 19.14/19.53 Z := Z
% 19.14/19.53 T := T
% 19.14/19.53 U := U
% 19.14/19.53 end
% 19.14/19.53 permutation0:
% 19.14/19.53 0 ==> 0
% 19.14/19.53 1 ==> 1
% 19.14/19.53 2 ==> 2
% 19.14/19.53 end
% 19.14/19.53
% 19.14/19.53 factor: (61950) {G1,W9,D2,L2,V3,M2} { ! midp( X, Y, Z ), para( Y, Z, Z, Y
% 19.14/19.53 ) }.
% 19.14/19.53 parent0[0, 2]: (1850) {G1,W13,D2,L3,V5,M3} R(63,10) { ! midp( X, Y, Z ),
% 19.14/19.53 para( Y, T, Z, U ), ! midp( X, U, T ) }.
% 19.14/19.53 substitution0:
% 19.14/19.53 X := X
% 19.14/19.53 Y := Y
% 19.14/19.53 Z := Z
% 19.14/19.53 T := Z
% 19.14/19.53 U := Y
% 19.14/19.53 end
% 19.14/19.53
% 19.14/19.53 subsumption: (1862) {G2,W9,D2,L2,V3,M2} F(1850) { ! midp( X, Y, Z ), para(
% 19.14/19.53 Y, Z, Z, Y ) }.
% 19.14/19.53 parent0: (61950) {G1,W9,D2,L2,V3,M2} { ! midp( X, Y, Z ), para( Y, Z, Z, Y
% 19.14/19.53 ) }.
% 19.14/19.53 substitution0:
% 19.14/19.53 X := X
% 19.14/19.53 Y := Y
% 19.14/19.53 Z := Z
% 19.14/19.53 end
% 19.14/19.53 permutation0:
% 19.14/19.53 0 ==> 0
% 19.14/19.53 1 ==> 1
% 19.14/19.53 end
% 19.14/19.53
% 19.14/19.53 resolution: (61951) {G2,W14,D3,L3,V1,M3} { ! coll( skol20, skol20, skol26
% 19.14/19.53 ), ! coll( skol26, skol20, skol26 ), midp( skol7( skol20, X ), skol20, X
% 19.14/19.53 ) }.
% 19.14/19.53 parent0[0]: (161) {G1,W18,D3,L4,V4,M4} F(88) { ! midp( X, Y, Z ), ! coll( Y
% 19.14/19.53 , Y, Z ), ! coll( Z, Y, Z ), midp( skol7( Y, T ), Y, T ) }.
% 19.14/19.53 parent1[0]: (343) {G1,W4,D2,L1,V0,M1} R(10,117) { midp( skol27, skol20,
% 19.14/19.53 skol26 ) }.
% 19.14/19.53 substitution0:
% 19.14/19.53 X := skol27
% 19.14/19.53 Y := skol20
% 19.14/19.53 Z := skol26
% 19.14/19.53 T := X
% 19.14/19.53 end
% 19.14/19.53 substitution1:
% 19.14/19.53 end
% 19.14/19.53
% 19.14/19.53 resolution: (61952) {G3,W10,D3,L2,V1,M2} { ! coll( skol26, skol20, skol26
% 19.14/19.53 ), midp( skol7( skol20, X ), skol20, X ) }.
% 19.14/19.53 parent0[0]: (61951) {G2,W14,D3,L3,V1,M3} { ! coll( skol20, skol20, skol26
% 19.14/19.53 ), ! coll( skol26, skol20, skol26 ), midp( skol7( skol20, X ), skol20, X
% 19.14/19.53 ) }.
% 19.14/19.53 parent1[0]: (325) {G4,W4,D2,L1,V0,M1} R(254,0) { coll( skol20, skol20,
% 19.14/19.53 skol26 ) }.
% 19.14/19.53 substitution0:
% 19.14/19.53 X := X
% 19.14/19.53 end
% 19.14/19.53 substitution1:
% 19.14/19.53 end
% 19.14/19.53
% 19.14/19.53 subsumption: (8878) {G5,W10,D3,L2,V1,M2} R(161,343);r(325) { ! coll( skol26
% 19.14/19.53 , skol20, skol26 ), midp( skol7( skol20, X ), skol20, X ) }.
% 19.14/19.53 parent0: (61952) {G3,W10,D3,L2,V1,M2} { ! coll( skol26, skol20, skol26 ),
% 19.14/19.53 midp( skol7( skol20, X ), skol20, X ) }.
% 19.14/19.53 substitution0:
% 19.14/19.53 X := X
% 19.14/19.53 end
% 19.14/19.53 permutation0:
% 19.14/19.53 0 ==> 0
% 19.14/19.53 1 ==> 1
% 19.14/19.53 end
% 19.14/19.53
% 19.14/19.53 resolution: (61953) {G1,W14,D3,L3,V1,M3} { ! coll( skol26, skol26, skol20
% 19.14/19.53 ), ! coll( skol20, skol26, skol20 ), midp( skol7( skol26, X ), skol26, X
% 19.14/19.53 ) }.
% 19.14/19.53 parent0[0]: (161) {G1,W18,D3,L4,V4,M4} F(88) { ! midp( X, Y, Z ), ! coll( Y
% 19.14/19.53 , Y, Z ), ! coll( Z, Y, Z ), midp( skol7( Y, T ), Y, T ) }.
% 19.14/19.53 parent1[0]: (117) {G0,W4,D2,L1,V0,M1} I { midp( skol27, skol26, skol20 )
% 19.14/19.53 }.
% 19.14/19.53 substitution0:
% 19.14/19.53 X := skol27
% 19.14/19.53 Y := skol26
% 19.14/19.53 Z := skol20
% 19.14/19.53 T := X
% 19.14/19.53 end
% 19.14/19.53 substitution1:
% 19.14/19.53 end
% 19.14/19.53
% 19.14/19.53 resolution: (61954) {G2,W10,D3,L2,V1,M2} { ! coll( skol20, skol26, skol20
% 19.14/19.53 ), midp( skol7( skol26, X ), skol26, X ) }.
% 19.14/19.53 parent0[0]: (61953) {G1,W14,D3,L3,V1,M3} { ! coll( skol26, skol26, skol20
% 19.14/19.53 ), ! coll( skol20, skol26, skol20 ), midp( skol7( skol26, X ), skol26, X
% 19.14/19.53 ) }.
% 19.14/19.53 parent1[0]: (292) {G7,W4,D2,L1,V0,M1} R(251,0) { coll( skol26, skol26,
% 19.14/19.53 skol20 ) }.
% 19.14/19.53 substitution0:
% 19.14/19.53 X := X
% 19.14/19.53 end
% 19.14/19.53 substitution1:
% 19.14/19.53 end
% 19.14/19.53
% 19.14/19.53 subsumption: (8888) {G8,W10,D3,L2,V1,M2} R(161,117);r(292) { ! coll( skol20
% 19.14/19.53 , skol26, skol20 ), midp( skol7( skol26, X ), skol26, X ) }.
% 19.14/19.53 parent0: (61954) {G2,W10,D3,L2,V1,M2} { ! coll( skol20, skol26, skol20 ),
% 19.14/19.53 midp( skol7( skol26, X ), skol26, X ) }.
% 19.14/19.53 substitution0:
% 19.14/19.53 X := X
% 19.14/19.53 end
% 19.14/19.53 permutation0:
% 19.14/19.53 0 ==> 0
% 19.14/19.53 1 ==> 1
% 19.14/19.53 end
% 19.14/19.53
% 19.14/19.53 resolution: (61955) {G6,W6,D3,L1,V1,M1} { midp( skol7( skol20, X ), skol20
% 19.14/19.53 , X ) }.
% 19.14/19.53 parent0[0]: (8878) {G5,W10,D3,L2,V1,M2} R(161,343);r(325) { ! coll( skol26
% 19.14/19.53 , skol20, skol26 ), midp( skol7( skol20, X ), skol20, X ) }.
% 19.14/19.53 parent1[0]: (251) {G6,W4,D2,L1,V0,M1} R(218,242) { coll( skol26, skol20,
% 19.14/19.53 skol26 ) }.
% 19.14/19.53 substitution0:
% 19.14/19.53 X := X
% 19.14/19.53 end
% 19.14/19.53 substitution1:
% 19.14/19.53 end
% 19.14/19.53
% 19.14/19.53 subsumption: (20027) {G7,W6,D3,L1,V1,M1} S(8878);r(251) { midp( skol7(
% 19.14/19.53 skol20, X ), skol20, X ) }.
% 19.14/19.53 parent0: (61955) {G6,W6,D3,L1,V1,M1} { midp( skol7( skol20, X ), skol20, X
% 19.14/19.53 ) }.
% 19.14/19.53 substitution0:
% 19.14/19.53 X := X
% 19.14/19.53 end
% 19.14/19.53 permutation0:
% 19.14/19.53 0 ==> 0
% 19.14/19.53 end
% 19.14/19.53
% 19.14/19.53 resolution: (61956) {G4,W6,D3,L1,V1,M1} { midp( skol7( skol26, X ), skol26
% 19.14/19.53 , X ) }.
% 19.14/19.53 parent0[0]: (8888) {G8,W10,D3,L2,V1,M2} R(161,117);r(292) { ! coll( skol20
% 19.14/19.53 , skol26, skol20 ), midp( skol7( skol26, X ), skol26, X ) }.
% 19.14/19.53 parent1[0]: (254) {G3,W4,D2,L1,V0,M1} R(218,232) { coll( skol20, skol26,
% 19.14/19.53 skol20 ) }.
% 19.14/19.53 substitution0:
% 19.14/19.53 X := X
% 19.14/19.53 end
% 19.14/19.53 substitution1:
% 19.14/19.53 end
% 19.14/19.53
% 19.14/19.53 subsumption: (20028) {G9,W6,D3,L1,V1,M1} S(8888);r(254) { midp( skol7(
% 19.14/19.53 skol26, X ), skol26, X ) }.
% 19.14/19.53 parent0: (61956) {G4,W6,D3,L1,V1,M1} { midp( skol7( skol26, X ), skol26, X
% 19.14/19.53 ) }.
% 19.14/19.53 substitution0:
% 19.14/19.53 X := X
% 19.14/19.53 end
% 19.14/19.53 permutation0:
% 19.14/19.53 0 ==> 0
% 19.14/19.53 end
% 19.14/19.53
% 19.14/19.53 resolution: (61957) {G8,W4,D2,L1,V1,M1} { coll( skol20, skol20, X ) }.
% 19.14/19.53 parent0[0]: (508) {G10,W8,D2,L2,V3,M2} R(495,0) { ! midp( X, Y, Z ), coll(
% 19.14/19.53 Y, Y, Z ) }.
% 19.14/19.53 parent1[0]: (20027) {G7,W6,D3,L1,V1,M1} S(8878);r(251) { midp( skol7(
% 19.14/19.53 skol20, X ), skol20, X ) }.
% 19.14/19.53 substitution0:
% 19.14/19.53 X := skol7( skol20, X )
% 19.14/19.53 Y := skol20
% 19.14/19.53 Z := X
% 19.14/19.53 end
% 19.14/19.53 substitution1:
% 19.14/19.53 X := X
% 19.14/19.53 end
% 19.14/19.53
% 19.14/19.53 subsumption: (21686) {G11,W4,D2,L1,V1,M1} R(20027,508) { coll( skol20,
% 19.14/19.53 skol20, X ) }.
% 19.14/19.53 parent0: (61957) {G8,W4,D2,L1,V1,M1} { coll( skol20, skol20, X ) }.
% 19.14/19.53 substitution0:
% 19.14/19.53 X := X
% 19.14/19.53 end
% 19.14/19.53 permutation0:
% 19.14/19.53 0 ==> 0
% 19.14/19.53 end
% 19.14/19.53
% 19.14/19.53 resolution: (61958) {G2,W8,D2,L2,V2,M2} { ! coll( skol20, skol20, Y ),
% 19.14/19.53 coll( X, skol20, Y ) }.
% 19.14/19.53 parent0[0]: (213) {G1,W12,D2,L3,V4,M3} R(2,0) { ! coll( X, Y, Z ), ! coll(
% 19.14/19.53 X, Y, T ), coll( Z, X, T ) }.
% 19.14/19.53 parent1[0]: (21686) {G11,W4,D2,L1,V1,M1} R(20027,508) { coll( skol20,
% 19.14/19.53 skol20, X ) }.
% 19.14/19.53 substitution0:
% 19.14/19.53 X := skol20
% 19.14/19.53 Y := skol20
% 19.14/19.53 Z := X
% 19.14/19.53 T := Y
% 19.14/19.53 end
% 19.14/19.53 substitution1:
% 19.14/19.53 X := X
% 19.14/19.53 end
% 19.14/19.53
% 19.14/19.53 resolution: (61960) {G3,W4,D2,L1,V2,M1} { coll( Y, skol20, X ) }.
% 19.14/19.53 parent0[0]: (61958) {G2,W8,D2,L2,V2,M2} { ! coll( skol20, skol20, Y ),
% 19.14/19.53 coll( X, skol20, Y ) }.
% 19.14/19.53 parent1[0]: (21686) {G11,W4,D2,L1,V1,M1} R(20027,508) { coll( skol20,
% 19.14/19.53 skol20, X ) }.
% 19.14/19.53 substitution0:
% 19.14/19.53 X := Y
% 19.14/19.53 Y := X
% 19.14/19.53 end
% 19.14/19.53 substitution1:
% 19.14/19.53 X := X
% 19.14/19.53 end
% 19.14/19.53
% 19.14/19.53 subsumption: (21768) {G12,W4,D2,L1,V2,M1} R(21686,213);r(21686) { coll( Y,
% 19.14/19.53 skol20, X ) }.
% 19.14/19.53 parent0: (61960) {G3,W4,D2,L1,V2,M1} { coll( Y, skol20, X ) }.
% 19.14/19.53 substitution0:
% 19.14/19.53 X := X
% 19.14/19.53 Y := Y
% 19.14/19.53 end
% 19.14/19.53 permutation0:
% 19.14/19.53 0 ==> 0
% 19.14/19.53 end
% 19.14/19.53
% 19.14/19.53 resolution: (61961) {G2,W8,D2,L2,V3,M2} { ! coll( X, skol20, Z ), coll( Y
% 19.14/19.53 , X, Z ) }.
% 19.14/19.53 parent0[0]: (213) {G1,W12,D2,L3,V4,M3} R(2,0) { ! coll( X, Y, Z ), ! coll(
% 19.14/19.53 X, Y, T ), coll( Z, X, T ) }.
% 19.14/19.53 parent1[0]: (21768) {G12,W4,D2,L1,V2,M1} R(21686,213);r(21686) { coll( Y,
% 19.14/19.53 skol20, X ) }.
% 19.14/19.53 substitution0:
% 19.14/19.53 X := X
% 19.14/19.53 Y := skol20
% 19.14/19.53 Z := Y
% 19.14/19.53 T := Z
% 19.14/19.53 end
% 19.14/19.53 substitution1:
% 19.14/19.53 X := Y
% 19.14/19.53 Y := X
% 19.14/19.53 end
% 19.14/19.53
% 19.14/19.53 resolution: (61963) {G3,W4,D2,L1,V3,M1} { coll( Z, X, Y ) }.
% 19.14/19.53 parent0[0]: (61961) {G2,W8,D2,L2,V3,M2} { ! coll( X, skol20, Z ), coll( Y
% 19.14/19.53 , X, Z ) }.
% 19.14/19.53 parent1[0]: (21768) {G12,W4,D2,L1,V2,M1} R(21686,213);r(21686) { coll( Y,
% 19.14/19.53 skol20, X ) }.
% 19.14/19.53 substitution0:
% 19.14/19.53 X := X
% 19.14/19.53 Y := Z
% 19.14/19.53 Z := Y
% 19.14/19.53 end
% 19.14/19.53 substitution1:
% 19.14/19.53 X := Y
% 19.14/19.53 Y := X
% 19.14/19.53 end
% 19.14/19.53
% 19.14/19.53 subsumption: (21779) {G13,W4,D2,L1,V3,M1} R(21768,213);r(21768) { coll( Z,
% 19.14/19.53 X, Y ) }.
% 19.14/19.53 parent0: (61963) {G3,W4,D2,L1,V3,M1} { coll( Z, X, Y ) }.
% 19.14/19.53 substitution0:
% 19.14/19.53 X := X
% 19.14/19.53 Y := Y
% 19.14/19.53 Z := Z
% 19.14/19.53 end
% 19.14/19.53 permutation0:
% 19.14/19.53 0 ==> 0
% 19.14/19.53 end
% 19.14/19.53
% 19.14/19.53 resolution: (61964) {G1,W6,D3,L1,V1,M1} { midp( skol7( skol26, X ), X,
% 19.14/19.53 skol26 ) }.
% 19.14/19.53 parent0[0]: (10) {G0,W8,D2,L2,V3,M2} I { ! midp( Z, Y, X ), midp( Z, X, Y )
% 19.14/19.53 }.
% 19.14/19.53 parent1[0]: (20028) {G9,W6,D3,L1,V1,M1} S(8888);r(254) { midp( skol7(
% 19.14/19.53 skol26, X ), skol26, X ) }.
% 19.14/19.53 substitution0:
% 19.14/19.53 X := X
% 19.14/19.53 Y := skol26
% 19.14/19.53 Z := skol7( skol26, X )
% 19.14/19.53 end
% 19.14/19.53 substitution1:
% 19.14/19.53 X := X
% 19.14/19.53 end
% 19.14/19.53
% 19.14/19.53 subsumption: (21895) {G10,W6,D3,L1,V1,M1} R(20028,10) { midp( skol7( skol26
% 19.14/19.53 , X ), X, skol26 ) }.
% 19.14/19.53 parent0: (61964) {G1,W6,D3,L1,V1,M1} { midp( skol7( skol26, X ), X, skol26
% 19.14/19.53 ) }.
% 19.14/19.53 substitution0:
% 19.14/19.53 X := X
% 19.14/19.53 end
% 19.14/19.53 permutation0:
% 19.14/19.53 0 ==> 0
% 19.14/19.53 end
% 19.14/19.53
% 19.14/19.53 resolution: (61965) {G2,W14,D3,L3,V2,M3} { ! coll( X, X, skol26 ), ! coll
% 19.14/19.53 ( skol26, X, skol26 ), midp( skol7( X, Y ), X, Y ) }.
% 19.14/19.53 parent0[0]: (161) {G1,W18,D3,L4,V4,M4} F(88) { ! midp( X, Y, Z ), ! coll( Y
% 19.14/19.53 , Y, Z ), ! coll( Z, Y, Z ), midp( skol7( Y, T ), Y, T ) }.
% 19.14/19.53 parent1[0]: (21895) {G10,W6,D3,L1,V1,M1} R(20028,10) { midp( skol7( skol26
% 19.14/19.53 , X ), X, skol26 ) }.
% 19.14/19.53 substitution0:
% 19.14/19.53 X := skol7( skol26, X )
% 19.14/19.53 Y := X
% 19.14/19.53 Z := skol26
% 19.14/19.53 T := Y
% 19.14/19.53 end
% 19.14/19.53 substitution1:
% 19.14/19.53 X := X
% 19.14/19.53 end
% 19.14/19.53
% 19.14/19.53 resolution: (61968) {G3,W10,D3,L2,V2,M2} { ! coll( skol26, X, skol26 ),
% 19.14/19.53 midp( skol7( X, Y ), X, Y ) }.
% 19.14/19.53 parent0[0]: (61965) {G2,W14,D3,L3,V2,M3} { ! coll( X, X, skol26 ), ! coll
% 19.14/19.53 ( skol26, X, skol26 ), midp( skol7( X, Y ), X, Y ) }.
% 19.14/19.53 parent1[0]: (21779) {G13,W4,D2,L1,V3,M1} R(21768,213);r(21768) { coll( Z, X
% 19.14/19.53 , Y ) }.
% 19.14/19.53 substitution0:
% 19.14/19.53 X := X
% 19.14/19.53 Y := Y
% 19.14/19.53 end
% 19.14/19.53 substitution1:
% 19.14/19.53 X := X
% 19.14/19.53 Y := skol26
% 19.14/19.53 Z := X
% 19.14/19.53 end
% 19.14/19.53
% 19.14/19.53 subsumption: (21939) {G14,W10,D3,L2,V2,M2} R(21895,161);r(21779) { ! coll(
% 19.14/19.53 skol26, X, skol26 ), midp( skol7( X, Y ), X, Y ) }.
% 19.14/19.53 parent0: (61968) {G3,W10,D3,L2,V2,M2} { ! coll( skol26, X, skol26 ), midp
% 19.14/19.53 ( skol7( X, Y ), X, Y ) }.
% 19.14/19.53 substitution0:
% 19.14/19.53 X := X
% 19.14/19.53 Y := Y
% 19.14/19.53 end
% 19.14/19.53 permutation0:
% 19.14/19.53 0 ==> 0
% 19.14/19.53 1 ==> 1
% 19.14/19.53 end
% 19.14/19.53
% 19.14/19.53 resolution: (61970) {G2,W10,D2,L2,V3,M2} { cyclic( Z, Y, X, X ), ! para( X
% 19.14/19.53 , Z, X, Z ) }.
% 19.14/19.53 parent0[0]: (843) {G1,W14,D2,L3,V3,M3} R(42,39) { ! coll( X, X, Y ), cyclic
% 19.14/19.53 ( Z, Y, X, X ), ! para( X, Z, X, Z ) }.
% 19.14/19.53 parent1[0]: (21779) {G13,W4,D2,L1,V3,M1} R(21768,213);r(21768) { coll( Z, X
% 19.14/19.53 , Y ) }.
% 19.14/19.53 substitution0:
% 19.14/19.53 X := X
% 19.14/19.53 Y := Y
% 19.14/19.53 Z := Z
% 19.14/19.53 end
% 19.14/19.53 substitution1:
% 19.14/19.53 X := X
% 19.14/19.53 Y := Y
% 19.14/19.53 Z := X
% 19.14/19.53 end
% 19.14/19.53
% 19.14/19.53 subsumption: (27668) {G14,W10,D2,L2,V3,M2} S(843);r(21779) { cyclic( Z, Y,
% 19.14/19.53 X, X ), ! para( X, Z, X, Z ) }.
% 19.14/19.53 parent0: (61970) {G2,W10,D2,L2,V3,M2} { cyclic( Z, Y, X, X ), ! para( X, Z
% 19.14/19.53 , X, Z ) }.
% 19.14/19.53 substitution0:
% 19.14/19.53 X := X
% 19.14/19.53 Y := Y
% 19.14/19.53 Z := Z
% 19.14/19.53 end
% 19.14/19.53 permutation0:
% 19.14/19.53 0 ==> 0
% 19.14/19.53 1 ==> 1
% 19.14/19.53 end
% 19.14/19.53
% 19.14/19.53 resolution: (61971) {G14,W6,D3,L1,V2,M1} { midp( skol7( X, Y ), X, Y ) }.
% 19.14/19.53 parent0[0]: (21939) {G14,W10,D3,L2,V2,M2} R(21895,161);r(21779) { ! coll(
% 19.14/19.53 skol26, X, skol26 ), midp( skol7( X, Y ), X, Y ) }.
% 19.14/19.53 parent1[0]: (21779) {G13,W4,D2,L1,V3,M1} R(21768,213);r(21768) { coll( Z, X
% 19.14/19.53 , Y ) }.
% 19.14/19.53 substitution0:
% 19.14/19.53 X := X
% 19.14/19.53 Y := Y
% 19.14/19.53 end
% 19.14/19.53 substitution1:
% 19.14/19.53 X := X
% 19.14/19.53 Y := skol26
% 19.14/19.53 Z := skol26
% 19.14/19.53 end
% 19.14/19.53
% 19.14/19.53 subsumption: (40075) {G15,W6,D3,L1,V2,M1} S(21939);r(21779) { midp( skol7(
% 19.14/19.53 X, Y ), X, Y ) }.
% 19.14/19.53 parent0: (61971) {G14,W6,D3,L1,V2,M1} { midp( skol7( X, Y ), X, Y ) }.
% 19.14/19.53 substitution0:
% 19.14/19.53 X := X
% 19.14/19.53 Y := Y
% 19.14/19.53 end
% 19.14/19.53 permutation0:
% 19.14/19.53 0 ==> 0
% 19.14/19.53 end
% 19.14/19.53
% 19.14/19.53 resolution: (61972) {G1,W6,D3,L1,V2,M1} { midp( skol7( X, Y ), Y, X ) }.
% 19.14/19.53 parent0[0]: (10) {G0,W8,D2,L2,V3,M2} I { ! midp( Z, Y, X ), midp( Z, X, Y )
% 19.14/19.53 }.
% 19.14/19.53 parent1[0]: (40075) {G15,W6,D3,L1,V2,M1} S(21939);r(21779) { midp( skol7( X
% 19.14/19.53 , Y ), X, Y ) }.
% 19.14/19.53 substitution0:
% 19.14/19.53 X := Y
% 19.14/19.53 Y := X
% 19.14/19.53 Z := skol7( X, Y )
% 19.14/19.53 end
% 19.14/19.53 substitution1:
% 19.14/19.53 X := X
% 19.14/19.53 Y := Y
% 19.14/19.53 end
% 19.14/19.53
% 19.14/19.53 subsumption: (41085) {G16,W6,D3,L1,V2,M1} R(40075,10) { midp( skol7( X, Y )
% 19.14/19.53 , Y, X ) }.
% 19.14/19.53 parent0: (61972) {G1,W6,D3,L1,V2,M1} { midp( skol7( X, Y ), Y, X ) }.
% 19.14/19.53 substitution0:
% 19.14/19.53 X := X
% 19.14/19.53 Y := Y
% 19.14/19.53 end
% 19.14/19.53 permutation0:
% 19.14/19.53 0 ==> 0
% 19.14/19.53 end
% 19.14/19.53
% 19.14/19.53 resolution: (61973) {G3,W5,D2,L1,V2,M1} { para( Y, X, X, Y ) }.
% 19.14/19.53 parent0[0]: (1862) {G2,W9,D2,L2,V3,M2} F(1850) { ! midp( X, Y, Z ), para( Y
% 19.14/19.53 , Z, Z, Y ) }.
% 19.14/19.53 parent1[0]: (41085) {G16,W6,D3,L1,V2,M1} R(40075,10) { midp( skol7( X, Y )
% 19.14/19.53 , Y, X ) }.
% 19.14/19.53 substitution0:
% 19.14/19.53 X := skol7( X, Y )
% 19.14/19.53 Y := Y
% 19.14/19.53 Z := X
% 19.14/19.53 end
% 19.14/19.53 substitution1:
% 19.14/19.53 X := X
% 19.14/19.53 Y := Y
% 19.14/19.53 end
% 19.14/19.53
% 19.14/19.53 subsumption: (58407) {G17,W5,D2,L1,V2,M1} R(1862,41085) { para( X, Y, Y, X
% 19.14/19.53 ) }.
% 19.14/19.53 parent0: (61973) {G3,W5,D2,L1,V2,M1} { para( Y, X, X, Y ) }.
% 19.14/19.53 substitution0:
% 19.14/19.53 X := Y
% 19.14/19.53 Y := X
% 19.14/19.53 end
% 19.14/19.53 permutation0:
% 19.14/19.53 0 ==> 0
% 19.14/19.53 end
% 19.14/19.53
% 19.14/19.53 resolution: (61974) {G2,W5,D2,L1,V2,M1} { para( Y, X, Y, X ) }.
% 19.14/19.53 parent0[0]: (244) {G1,W10,D2,L2,V4,M2} R(4,3) { ! para( X, Y, Z, T ), para
% 19.14/19.53 ( Z, T, Y, X ) }.
% 19.14/19.53 parent1[0]: (58407) {G17,W5,D2,L1,V2,M1} R(1862,41085) { para( X, Y, Y, X )
% 19.14/19.53 }.
% 19.14/19.53 substitution0:
% 19.14/19.53 X := X
% 19.14/19.53 Y := Y
% 19.14/19.53 Z := Y
% 19.14/19.53 T := X
% 19.14/19.53 end
% 19.14/19.53 substitution1:
% 19.14/19.53 X := X
% 19.14/19.53 Y := Y
% 19.14/19.53 end
% 19.14/19.53
% 19.14/19.53 subsumption: (58420) {G18,W5,D2,L1,V2,M1} R(58407,244) { para( X, Y, X, Y )
% 19.14/19.53 }.
% 19.14/19.53 parent0: (61974) {G2,W5,D2,L1,V2,M1} { para( Y, X, Y, X ) }.
% 19.14/19.53 substitution0:
% 19.14/19.53 X := Y
% 19.14/19.53 Y := X
% 19.14/19.53 end
% 19.14/19.53 permutation0:
% 19.14/19.53 0 ==> 0
% 19.14/19.53 end
% 19.14/19.53
% 19.14/19.53 resolution: (61975) {G15,W5,D2,L1,V3,M1} { cyclic( X, Y, Z, Z ) }.
% 19.14/19.53 parent0[1]: (27668) {G14,W10,D2,L2,V3,M2} S(843);r(21779) { cyclic( Z, Y, X
% 19.14/19.53 , X ), ! para( X, Z, X, Z ) }.
% 19.14/19.53 parent1[0]: (58420) {G18,W5,D2,L1,V2,M1} R(58407,244) { para( X, Y, X, Y )
% 19.14/19.53 }.
% 19.14/19.53 substitution0:
% 19.14/19.53 X := Z
% 19.14/19.53 Y := Y
% 19.14/19.53 Z := X
% 19.14/19.53 end
% 19.14/19.53 substitution1:
% 19.14/19.53 X := Z
% 19.14/19.53 Y := X
% 19.14/19.53 end
% 19.14/19.53
% 19.14/19.53 subsumption: (60293) {G19,W5,D2,L1,V3,M1} S(27668);r(58420) { cyclic( Z, Y
% 19.14/19.53 , X, X ) }.
% 19.14/19.53 parent0: (61975) {G15,W5,D2,L1,V3,M1} { cyclic( X, Y, Z, Z ) }.
% 19.14/19.53 substitution0:
% 19.14/19.53 X := Z
% 19.14/19.53 Y := Y
% 19.14/19.53 Z := X
% 19.14/19.53 end
% 19.14/19.53 permutation0:
% 19.14/19.53 0 ==> 0
% 19.14/19.53 end
% 19.14/19.53
% 19.14/19.53 resolution: (61976) {G2,W5,D2,L1,V3,M1} { cyclic( Y, Z, X, Z ) }.
% 19.14/19.53 parent0[0]: (384) {G1,W10,D2,L2,V4,M2} R(15,14) { ! cyclic( X, Y, Z, T ),
% 19.14/19.53 cyclic( Y, Z, X, T ) }.
% 19.14/19.53 parent1[0]: (60293) {G19,W5,D2,L1,V3,M1} S(27668);r(58420) { cyclic( Z, Y,
% 19.14/19.53 X, X ) }.
% 19.14/19.53 substitution0:
% 19.14/19.53 X := X
% 19.14/19.53 Y := Y
% 19.14/19.53 Z := Z
% 19.14/19.53 T := Z
% 19.14/19.53 end
% 19.14/19.53 substitution1:
% 19.14/19.53 X := Z
% 19.14/19.53 Y := Y
% 19.14/19.53 Z := X
% 19.14/19.53 end
% 19.14/19.53
% 19.14/19.53 subsumption: (60358) {G20,W5,D2,L1,V3,M1} R(60293,384) { cyclic( X, Y, Z, Y
% 19.14/19.53 ) }.
% 19.14/19.53 parent0: (61976) {G2,W5,D2,L1,V3,M1} { cyclic( Y, Z, X, Z ) }.
% 19.14/19.53 substitution0:
% 19.14/19.53 X := Z
% 19.14/19.53 Y := X
% 19.14/19.53 Z := Y
% 19.14/19.53 end
% 19.14/19.53 permutation0:
% 19.14/19.53 0 ==> 0
% 19.14/19.53 end
% 19.14/19.53
% 19.14/19.53 resolution: (61977) {G2,W5,D2,L1,V3,M1} { cyclic( X, Y, Z, X ) }.
% 19.14/19.53 parent0[1]: (383) {G1,W10,D2,L2,V4,M2} R(15,14) { cyclic( X, Y, Z, T ), !
% 19.14/19.53 cyclic( Y, Z, X, T ) }.
% 19.14/19.53 parent1[0]: (60293) {G19,W5,D2,L1,V3,M1} S(27668);r(58420) { cyclic( Z, Y,
% 19.14/19.53 X, X ) }.
% 19.14/19.53 substitution0:
% 19.14/19.53 X := X
% 19.14/19.53 Y := Y
% 19.14/19.53 Z := Z
% 19.14/19.53 T := X
% 19.14/19.53 end
% 19.14/19.53 substitution1:
% 19.14/19.53 X := X
% 19.14/19.53 Y := Z
% 19.14/19.53 Z := Y
% 19.14/19.53 end
% 19.14/19.53
% 19.14/19.53 subsumption: (60359) {G20,W5,D2,L1,V3,M1} R(60293,383) { cyclic( X, Y, Z, X
% 19.14/19.53 ) }.
% 19.14/19.53 parent0: (61977) {G2,W5,D2,L1,V3,M1} { cyclic( X, Y, Z, X ) }.
% 19.14/19.53 substitution0:
% 19.14/19.53 X := X
% 19.14/19.53 Y := Y
% 19.14/19.53 Z := Z
% 19.14/19.53 end
% 19.14/19.53 permutation0:
% 19.14/19.53 0 ==> 0
% 19.14/19.53 end
% 19.14/19.53
% 19.14/19.53 resolution: (61979) {G3,W10,D2,L2,V3,M2} { ! cyclic( X, Y, Z, X ), cong( X
% 19.14/19.53 , Y, X, Y ) }.
% 19.14/19.53 parent0[1]: (979) {G2,W15,D2,L3,V3,M3} F(947) { ! cyclic( X, Y, Z, X ), !
% 19.14/19.53 cyclic( X, Y, Z, Y ), cong( X, Y, X, Y ) }.
% 19.14/19.53 parent1[0]: (60358) {G20,W5,D2,L1,V3,M1} R(60293,384) { cyclic( X, Y, Z, Y
% 19.14/19.53 ) }.
% 19.14/19.53 substitution0:
% 19.14/19.53 X := X
% 19.14/19.53 Y := Y
% 19.14/19.53 Z := Z
% 19.14/19.53 end
% 19.14/19.53 substitution1:
% 19.14/19.53 X := X
% 19.14/19.53 Y := Y
% 19.14/19.53 Z := Z
% 19.14/19.53 end
% 19.14/19.53
% 19.14/19.53 resolution: (61981) {G4,W5,D2,L1,V2,M1} { cong( X, Y, X, Y ) }.
% 19.14/19.53 parent0[0]: (61979) {G3,W10,D2,L2,V3,M2} { ! cyclic( X, Y, Z, X ), cong( X
% 19.14/19.53 , Y, X, Y ) }.
% 19.14/19.53 parent1[0]: (60359) {G20,W5,D2,L1,V3,M1} R(60293,383) { cyclic( X, Y, Z, X
% 19.14/19.53 ) }.
% 19.14/19.53 substitution0:
% 19.14/19.53 X := X
% 19.14/19.53 Y := Y
% 19.14/19.53 Z := Z
% 19.14/19.53 end
% 19.14/19.53 substitution1:
% 19.14/19.53 X := X
% 19.14/19.53 Y := Y
% 19.14/19.53 Z := Z
% 19.14/19.53 end
% 19.14/19.53
% 19.14/19.53 subsumption: (60373) {G21,W5,D2,L1,V2,M1} R(60358,979);r(60359) { cong( X,
% 19.14/19.53 Y, X, Y ) }.
% 19.14/19.53 parent0: (61981) {G4,W5,D2,L1,V2,M1} { cong( X, Y, X, Y ) }.
% 19.14/19.53 substitution0:
% 19.14/19.53 X := X
% 19.14/19.53 Y := Y
% 19.14/19.53 end
% 19.14/19.53 permutation0:
% 19.14/19.53 0 ==> 0
% 19.14/19.53 end
% 19.14/19.53
% 19.14/19.53 resolution: (61982) {G2,W10,D2,L2,V3,M2} { ! cong( X, Z, X, Z ), perp( Y,
% 19.14/19.53 Z, X, X ) }.
% 19.14/19.53 parent0[0]: (1633) {G1,W15,D2,L3,V4,M3} R(56,7) { ! cong( X, Y, Z, Y ), !
% 19.14/19.53 cong( X, T, Z, T ), perp( Y, T, X, Z ) }.
% 19.14/19.53 parent1[0]: (60373) {G21,W5,D2,L1,V2,M1} R(60358,979);r(60359) { cong( X, Y
% 19.14/19.53 , X, Y ) }.
% 19.14/19.53 substitution0:
% 19.14/19.53 X := X
% 19.14/19.53 Y := Y
% 19.14/19.53 Z := X
% 19.14/19.53 T := Z
% 19.14/19.53 end
% 19.14/19.53 substitution1:
% 19.14/19.53 X := X
% 19.14/19.53 Y := Y
% 19.14/19.53 end
% 19.14/19.53
% 19.14/19.53 resolution: (61984) {G3,W5,D2,L1,V3,M1} { perp( Z, Y, X, X ) }.
% 19.14/19.53 parent0[0]: (61982) {G2,W10,D2,L2,V3,M2} { ! cong( X, Z, X, Z ), perp( Y,
% 19.14/19.53 Z, X, X ) }.
% 19.14/19.53 parent1[0]: (60373) {G21,W5,D2,L1,V2,M1} R(60358,979);r(60359) { cong( X, Y
% 19.14/19.53 , X, Y ) }.
% 19.14/19.53 substitution0:
% 19.14/19.53 X := X
% 19.14/19.53 Y := Z
% 19.14/19.53 Z := Y
% 19.14/19.53 end
% 19.14/19.53 substitution1:
% 19.14/19.53 X := X
% 19.14/19.53 Y := Y
% 19.14/19.53 end
% 19.14/19.53
% 19.14/19.53 subsumption: (60745) {G22,W5,D2,L1,V3,M1} R(60373,1633);r(60373) { perp( Z
% 19.14/19.53 , Y, X, X ) }.
% 19.14/19.53 parent0: (61984) {G3,W5,D2,L1,V3,M1} { perp( Z, Y, X, X ) }.
% 19.14/19.53 substitution0:
% 19.14/19.53 X := X
% 19.14/19.53 Y := Y
% 19.14/19.53 Z := Z
% 19.14/19.53 end
% 19.14/19.53 permutation0:
% 19.14/19.53 0 ==> 0
% 19.14/19.53 end
% 19.14/19.53
% 19.14/19.53 resolution: (61985) {G3,W10,D2,L2,V4,M2} { ! cong( X, Y, X, Y ), para( Z,
% 19.14/19.53 T, Y, Y ) }.
% 19.14/19.53 parent0[1]: (1635) {G2,W15,D2,L3,V5,M3} F(1632) { ! cong( X, Y, Z, Y ), !
% 19.14/19.53 perp( T, U, X, Z ), para( T, U, Y, Y ) }.
% 19.14/19.53 parent1[0]: (60745) {G22,W5,D2,L1,V3,M1} R(60373,1633);r(60373) { perp( Z,
% 19.14/19.53 Y, X, X ) }.
% 19.14/19.53 substitution0:
% 19.14/19.53 X := X
% 19.14/19.53 Y := Y
% 19.14/19.53 Z := X
% 19.14/19.53 T := Z
% 19.14/19.53 U := T
% 19.14/19.53 end
% 19.14/19.53 substitution1:
% 19.14/19.53 X := X
% 19.14/19.53 Y := T
% 19.14/19.53 Z := Z
% 19.14/19.53 end
% 19.14/19.53
% 19.14/19.53 resolution: (61986) {G4,W5,D2,L1,V3,M1} { para( Z, T, Y, Y ) }.
% 19.14/19.53 parent0[0]: (61985) {G3,W10,D2,L2,V4,M2} { ! cong( X, Y, X, Y ), para( Z,
% 19.14/19.53 T, Y, Y ) }.
% 19.14/19.53 parent1[0]: (60373) {G21,W5,D2,L1,V2,M1} R(60358,979);r(60359) { cong( X, Y
% 19.14/19.53 , X, Y ) }.
% 19.14/19.53 substitution0:
% 19.14/19.53 X := X
% 19.14/19.53 Y := Y
% 19.14/19.53 Z := Z
% 19.14/19.53 T := T
% 19.14/19.53 end
% 19.14/19.53 substitution1:
% 19.14/19.53 X := X
% 19.14/19.53 Y := Y
% 19.14/19.53 end
% 19.14/19.53
% 19.14/19.53 subsumption: (60770) {G23,W5,D2,L1,V3,M1} R(60745,1635);r(60373) { para( Z
% 19.14/19.53 , T, Y, Y ) }.
% 19.14/19.53 parent0: (61986) {G4,W5,D2,L1,V3,M1} { para( Z, T, Y, Y ) }.
% 19.14/19.53 substitution0:
% 19.14/19.53 X := U
% 19.14/19.53 Y := Y
% 19.14/19.53 Z := Z
% 19.14/19.53 T := T
% 19.14/19.53 end
% 19.14/19.53 permutation0:
% 19.14/19.53 0 ==> 0
% 19.14/19.53 end
% 19.14/19.53
% 19.14/19.53 resolution: (61987) {G2,W10,D2,L2,V5,M2} { ! para( X, Y, Z, Z ), perp( X,
% 19.14/19.53 Y, T, U ) }.
% 19.14/19.53 parent0[2]: (330) {G1,W15,D2,L3,V6,M3} R(9,7) { ! para( X, Y, Z, T ), perp
% 19.14/19.53 ( X, Y, U, W ), ! perp( U, W, Z, T ) }.
% 19.14/19.53 parent1[0]: (60745) {G22,W5,D2,L1,V3,M1} R(60373,1633);r(60373) { perp( Z,
% 19.14/19.53 Y, X, X ) }.
% 19.14/19.53 substitution0:
% 19.14/19.53 X := X
% 19.14/19.53 Y := Y
% 19.14/19.53 Z := Z
% 19.14/19.53 T := Z
% 19.14/19.53 U := T
% 19.14/19.53 W := U
% 19.14/19.53 end
% 19.14/19.53 substitution1:
% 19.14/19.53 X := Z
% 19.14/19.53 Y := U
% 19.14/19.53 Z := T
% 19.14/19.53 end
% 19.14/19.53
% 19.14/19.53 resolution: (61988) {G3,W5,D2,L1,V4,M1} { perp( X, Y, T, U ) }.
% 19.14/19.53 parent0[0]: (61987) {G2,W10,D2,L2,V5,M2} { ! para( X, Y, Z, Z ), perp( X,
% 19.14/19.53 Y, T, U ) }.
% 19.14/19.53 parent1[0]: (60770) {G23,W5,D2,L1,V3,M1} R(60745,1635);r(60373) { para( Z,
% 19.14/19.53 T, Y, Y ) }.
% 19.14/19.53 substitution0:
% 19.14/19.53 X := X
% 19.14/19.53 Y := Y
% 19.14/19.53 Z := Z
% 19.14/19.53 T := T
% 19.14/19.53 U := U
% 19.14/19.53 end
% 19.14/19.53 substitution1:
% 19.14/19.53 X := W
% 19.14/19.53 Y := Z
% 19.14/19.53 Z := X
% 19.14/19.53 T := Y
% 19.14/19.53 end
% 19.14/19.53
% 19.14/19.53 subsumption: (60775) {G24,W5,D2,L1,V4,M1} R(60745,330);r(60770) { perp( X,
% 19.14/19.53 Y, T, U ) }.
% 19.14/19.53 parent0: (61988) {G3,W5,D2,L1,V4,M1} { perp( X, Y, T, U ) }.
% 19.14/19.53 substitution0:
% 19.14/19.53 X := X
% 19.14/19.53 Y := Y
% 19.14/19.53 Z := W
% 19.14/19.53 T := T
% 19.14/19.53 U := U
% 19.14/19.53 end
% 19.14/19.53 permutation0:
% 19.14/19.53 0 ==> 0
% 19.14/19.53 end
% 19.14/19.53
% 19.14/19.53 resolution: (61989) {G2,W10,D2,L2,V5,M2} { ! perp( Z, Z, T, U ), para( T,
% 19.14/19.53 U, X, Y ) }.
% 19.14/19.53 parent0[0]: (315) {G1,W15,D2,L3,V6,M3} R(8,4) { ! perp( X, Y, Z, T ), !
% 19.14/19.53 perp( Z, T, U, W ), para( U, W, X, Y ) }.
% 19.14/19.53 parent1[0]: (60745) {G22,W5,D2,L1,V3,M1} R(60373,1633);r(60373) { perp( Z,
% 19.14/19.53 Y, X, X ) }.
% 19.14/19.53 substitution0:
% 19.14/19.53 X := X
% 19.14/19.53 Y := Y
% 19.14/19.53 Z := Z
% 19.14/19.53 T := Z
% 19.14/19.53 U := T
% 19.14/19.53 W := U
% 19.14/19.53 end
% 19.14/19.53 substitution1:
% 19.14/19.53 X := Z
% 19.14/19.53 Y := Y
% 19.14/19.53 Z := X
% 19.14/19.53 end
% 19.14/19.53
% 19.14/19.53 resolution: (61991) {G3,W5,D2,L1,V4,M1} { para( Y, Z, T, U ) }.
% 19.14/19.53 parent0[0]: (61989) {G2,W10,D2,L2,V5,M2} { ! perp( Z, Z, T, U ), para( T,
% 19.14/19.53 U, X, Y ) }.
% 19.14/19.53 parent1[0]: (60775) {G24,W5,D2,L1,V4,M1} R(60745,330);r(60770) { perp( X, Y
% 19.14/19.53 , T, U ) }.
% 19.14/19.53 substitution0:
% 19.14/19.53 X := T
% 19.14/19.53 Y := U
% 19.14/19.53 Z := X
% 19.14/19.53 T := Y
% 19.14/19.53 U := Z
% 19.14/19.53 end
% 19.14/19.53 substitution1:
% 19.14/19.53 X := X
% 19.14/19.53 Y := X
% 19.14/19.53 Z := W
% 19.14/19.53 T := Y
% 19.14/19.53 U := Z
% 19.14/19.53 end
% 19.14/19.53
% 19.14/19.53 subsumption: (60777) {G25,W5,D2,L1,V4,M1} R(60745,315);r(60775) { para( Y,
% 19.14/19.53 Z, T, U ) }.
% 19.14/19.53 parent0: (61991) {G3,W5,D2,L1,V4,M1} { para( Y, Z, T, U ) }.
% 19.14/19.53 substitution0:
% 19.14/19.53 X := W
% 19.14/19.53 Y := Y
% 19.14/19.53 Z := Z
% 19.14/19.53 T := T
% 19.14/19.53 U := U
% 19.14/19.53 end
% 19.14/19.53 permutation0:
% 19.14/19.53 0 ==> 0
% 19.14/19.53 end
% 19.14/19.53
% 19.14/19.53 resolution: (61992) {G2,W9,D2,L1,V6,M1} { eqangle( U, W, X, Y, U, W, Z, T
% 19.14/19.53 ) }.
% 19.14/19.53 parent0[0]: (788) {G1,W14,D2,L2,V6,M2} R(39,18) { ! para( X, Y, Z, T ),
% 19.14/19.53 eqangle( U, W, X, Y, U, W, Z, T ) }.
% 19.14/19.53 parent1[0]: (60777) {G25,W5,D2,L1,V4,M1} R(60745,315);r(60775) { para( Y, Z
% 19.14/19.53 , T, U ) }.
% 19.14/19.53 substitution0:
% 19.14/19.53 X := X
% 19.14/19.53 Y := Y
% 19.14/19.53 Z := Z
% 19.14/19.53 T := T
% 19.14/19.53 U := U
% 19.14/19.53 W := W
% 19.14/19.53 end
% 19.14/19.53 substitution1:
% 19.14/19.53 X := V0
% 19.14/19.53 Y := X
% 19.14/19.53 Z := Y
% 19.14/19.53 T := Z
% 19.14/19.53 U := T
% 19.14/19.53 end
% 19.14/19.53
% 19.14/19.53 subsumption: (60801) {G26,W9,D2,L1,V6,M1} R(60777,788) { eqangle( X, Y, Z,
% 19.14/19.53 T, X, Y, U, W ) }.
% 19.14/19.53 parent0: (61992) {G2,W9,D2,L1,V6,M1} { eqangle( U, W, X, Y, U, W, Z, T )
% 19.14/19.53 }.
% 19.14/19.53 substitution0:
% 19.14/19.53 X := Z
% 19.14/19.53 Y := T
% 19.14/19.53 Z := U
% 19.14/19.53 T := W
% 19.14/19.53 U := X
% 19.14/19.53 W := Y
% 19.14/19.53 end
% 19.14/19.53 permutation0:
% 19.14/19.53 0 ==> 0
% 19.14/19.53 end
% 19.14/19.53
% 19.14/19.53 resolution: (61993) {G2,W9,D2,L1,V6,M1} { eqangle( X, Y, Z, T, U, W, U, W
% 19.14/19.53 ) }.
% 19.14/19.53 parent0[0]: (786) {G1,W14,D2,L2,V6,M2} R(39,20) { ! para( X, Y, Z, T ),
% 19.14/19.53 eqangle( X, Y, Z, T, U, W, U, W ) }.
% 19.14/19.53 parent1[0]: (60777) {G25,W5,D2,L1,V4,M1} R(60745,315);r(60775) { para( Y, Z
% 19.14/19.53 , T, U ) }.
% 19.14/19.53 substitution0:
% 19.14/19.53 X := X
% 19.14/19.53 Y := Y
% 19.14/19.53 Z := Z
% 19.14/19.53 T := T
% 19.14/19.53 U := U
% 19.14/19.53 W := W
% 19.14/19.53 end
% 19.14/19.53 substitution1:
% 19.14/19.53 X := V0
% 19.14/19.53 Y := X
% 19.14/19.53 Z := Y
% 19.14/19.53 T := Z
% 19.14/19.53 U := T
% 19.14/19.53 end
% 19.14/19.53
% 19.14/19.53 subsumption: (60802) {G26,W9,D2,L1,V6,M1} R(60777,786) { eqangle( X, Y, Z,
% 19.14/19.53 T, U, W, U, W ) }.
% 19.14/19.53 parent0: (61993) {G2,W9,D2,L1,V6,M1} { eqangle( X, Y, Z, T, U, W, U, W )
% 19.14/19.53 }.
% 19.14/19.53 substitution0:
% 19.14/19.53 X := X
% 19.14/19.53 Y := Y
% 19.14/19.53 Z := Z
% 19.14/19.53 T := T
% 19.14/19.53 U := U
% 19.14/19.53 W := W
% 19.14/19.53 end
% 19.14/19.53 permutation0:
% 19.14/19.53 0 ==> 0
% 19.14/19.53 end
% 19.14/19.53
% 19.14/19.53 resolution: (61995) {G2,W18,D2,L2,V10,M2} { ! eqangle( X, Y, Z, T, U, W, U
% 19.14/19.53 , W ), eqangle( X, Y, Z, T, V0, V1, V2, V3 ) }.
% 19.14/19.53 parent0[2]: (461) {G1,W27,D2,L3,V12,M3} R(21,20) { ! eqangle( X, Y, Z, T, U
% 19.14/19.53 , W, V0, V1 ), eqangle( X, Y, Z, T, V2, V3, V4, V5 ), ! eqangle( U, W, V2
% 19.14/19.53 , V3, V0, V1, V4, V5 ) }.
% 19.14/19.53 parent1[0]: (60801) {G26,W9,D2,L1,V6,M1} R(60777,788) { eqangle( X, Y, Z, T
% 19.14/19.53 , X, Y, U, W ) }.
% 19.14/19.53 substitution0:
% 19.14/19.53 X := X
% 19.14/19.53 Y := Y
% 19.14/19.53 Z := Z
% 19.14/19.53 T := T
% 19.14/19.53 U := U
% 19.14/19.53 W := W
% 19.14/19.53 V0 := U
% 19.14/19.53 V1 := W
% 19.14/19.53 V2 := V0
% 19.14/19.53 V3 := V1
% 19.14/19.53 V4 := V2
% 19.14/19.53 V5 := V3
% 19.14/19.53 end
% 19.14/19.53 substitution1:
% 19.14/19.53 X := U
% 19.14/19.53 Y := W
% 19.14/19.53 Z := V0
% 19.14/19.53 T := V1
% 19.14/19.53 U := V2
% 19.14/19.53 W := V3
% 19.14/19.53 end
% 19.14/19.53
% 19.14/19.53 resolution: (61996) {G3,W9,D2,L1,V8,M1} { eqangle( X, Y, Z, T, V0, V1, V2
% 19.14/19.53 , V3 ) }.
% 19.14/19.53 parent0[0]: (61995) {G2,W18,D2,L2,V10,M2} { ! eqangle( X, Y, Z, T, U, W, U
% 19.14/19.53 , W ), eqangle( X, Y, Z, T, V0, V1, V2, V3 ) }.
% 19.14/19.53 parent1[0]: (60802) {G26,W9,D2,L1,V6,M1} R(60777,786) { eqangle( X, Y, Z, T
% 19.14/19.53 , U, W, U, W ) }.
% 19.14/19.53 substitution0:
% 19.14/19.53 X := X
% 19.14/19.53 Y := Y
% 19.14/19.53 Z := Z
% 19.14/19.53 T := T
% 19.14/19.53 U := U
% 19.14/19.53 W := W
% 19.14/19.53 V0 := V0
% 19.14/19.53 V1 := V1
% 19.14/19.53 V2 := V2
% 19.14/19.53 V3 := V3
% 19.14/19.53 end
% 19.14/19.53 substitution1:
% 19.14/19.53 X := X
% 19.14/19.53 Y := Y
% 19.14/19.53 Z := Z
% 19.14/19.53 T := T
% 19.14/19.53 U := U
% 19.14/19.53 W := W
% 19.14/19.53 end
% 19.14/19.53
% 19.14/19.53 subsumption: (61187) {G27,W9,D2,L1,V8,M1} R(60801,461);r(60802) { eqangle(
% 19.14/19.53 X, Y, Z, T, V0, V1, V2, V3 ) }.
% 19.14/19.53 parent0: (61996) {G3,W9,D2,L1,V8,M1} { eqangle( X, Y, Z, T, V0, V1, V2, V3
% 19.14/19.53 ) }.
% 19.14/19.53 substitution0:
% 19.14/19.53 X := X
% 19.14/19.53 Y := Y
% 19.14/19.53 Z := Z
% 19.14/19.53 T := T
% 19.14/19.53 U := V4
% 19.14/19.53 W := V5
% 19.14/19.53 V0 := V0
% 19.14/19.53 V1 := V1
% 19.14/19.53 V2 := V2
% 19.14/19.53 V3 := V3
% 19.14/19.53 end
% 19.14/19.53 permutation0:
% 19.14/19.53 0 ==> 0
% 19.14/19.53 end
% 19.14/19.53
% 19.14/19.53 resolution: (61997) {G1,W6,D2,L1,V5,M1} { ! alpha6( X, Y, Z, T, U ) }.
% 19.14/19.53 parent0[1]: (137) {G0,W15,D2,L2,V5,M2} I;f { ! alpha6( X, Y, Z, T, U ), !
% 19.14/19.53 eqangle( Z, X, X, T, Y, X, X, U ) }.
% 19.14/19.53 parent1[0]: (61187) {G27,W9,D2,L1,V8,M1} R(60801,461);r(60802) { eqangle( X
% 19.14/19.53 , Y, Z, T, V0, V1, V2, V3 ) }.
% 19.14/19.53 substitution0:
% 19.14/19.53 X := X
% 19.14/19.53 Y := Y
% 19.14/19.53 Z := Z
% 19.14/19.53 T := T
% 19.14/19.53 U := U
% 19.14/19.53 end
% 19.14/19.53 substitution1:
% 19.14/19.53 X := Z
% 19.14/19.53 Y := X
% 19.14/19.53 Z := X
% 19.14/19.53 T := T
% 19.14/19.53 U := W
% 19.14/19.53 W := V0
% 19.14/19.53 V0 := Y
% 19.14/19.53 V1 := X
% 19.14/19.53 V2 := X
% 19.14/19.53 V3 := U
% 19.14/19.53 end
% 19.14/19.53
% 19.14/19.53 subsumption: (61197) {G28,W6,D2,L1,V5,M1} R(61187,137) { ! alpha6( X, Y, Z
% 19.14/19.53 , T, U ) }.
% 19.14/19.53 parent0: (61997) {G1,W6,D2,L1,V5,M1} { ! alpha6( X, Y, Z, T, U ) }.
% 19.14/19.53 substitution0:
% 19.14/19.53 X := X
% 19.14/19.53 Y := Y
% 19.14/19.53 Z := Z
% 19.14/19.53 T := T
% 19.14/19.53 U := U
% 19.14/19.53 end
% 19.14/19.53 permutation0:
% 19.14/19.53 0 ==> 0
% 19.14/19.53 end
% 19.14/19.53
% 19.14/19.53 resolution: (61998) {G1,W12,D2,L2,V5,M2} { ! alpha5( X, Y, Z, T, U ),
% 19.14/19.53 alpha6( X, Y, Z, T, U ) }.
% 19.14/19.53 parent0[2]: (133) {G0,W21,D2,L3,V5,M3} I { ! alpha5( X, Y, Z, T, U ),
% 19.14/19.53 alpha6( X, Y, Z, T, U ), ! eqangle( Z, X, X, T, X, Y, Y, U ) }.
% 19.14/19.53 parent1[0]: (61187) {G27,W9,D2,L1,V8,M1} R(60801,461);r(60802) { eqangle( X
% 19.14/19.53 , Y, Z, T, V0, V1, V2, V3 ) }.
% 19.14/19.53 substitution0:
% 19.14/19.53 X := X
% 19.14/19.53 Y := Y
% 19.14/19.53 Z := Z
% 19.14/19.53 T := T
% 19.14/19.53 U := U
% 19.14/19.53 end
% 19.14/19.53 substitution1:
% 19.14/19.53 X := Z
% 19.14/19.53 Y := X
% 19.14/19.53 Z := X
% 19.14/19.53 T := T
% 19.14/19.53 U := W
% 19.14/19.53 W := V0
% 19.14/19.53 V0 := X
% 19.14/19.53 V1 := Y
% 19.14/19.53 V2 := Y
% 19.14/19.53 V3 := U
% 19.14/19.53 end
% 19.14/19.53
% 19.14/19.53 resolution: (61999) {G2,W6,D2,L1,V5,M1} { ! alpha5( X, Y, Z, T, U ) }.
% 19.14/19.53 parent0[0]: (61197) {G28,W6,D2,L1,V5,M1} R(61187,137) { ! alpha6( X, Y, Z,
% 19.14/19.53 T, U ) }.
% 19.14/19.53 parent1[1]: (61998) {G1,W12,D2,L2,V5,M2} { ! alpha5( X, Y, Z, T, U ),
% 19.14/19.53 alpha6( X, Y, Z, T, U ) }.
% 19.14/19.53 substitution0:
% 19.14/19.53 X := X
% 19.14/19.53 Y := Y
% 19.14/19.53 Z := Z
% 19.14/19.53 T := T
% 19.14/19.53 U := U
% 19.14/19.53 end
% 19.14/19.53 substitution1:
% 19.14/19.53 X := X
% 19.14/19.53 Y := Y
% 19.14/19.53 Z := Z
% 19.14/19.53 T := T
% 19.14/19.53 U := U
% 19.14/19.53 end
% 19.14/19.53
% 19.14/19.53 subsumption: (61198) {G29,W6,D2,L1,V5,M1} R(61187,133);r(61197) { ! alpha5
% 19.14/19.53 ( X, Y, Z, T, U ) }.
% 19.14/19.53 parent0: (61999) {G2,W6,D2,L1,V5,M1} { ! alpha5( X, Y, Z, T, U ) }.
% 19.14/19.53 substitution0:
% 19.14/19.53 X := X
% 19.14/19.53 Y := Y
% 19.14/19.53 Z := Z
% 19.14/19.53 T := T
% 19.14/19.53 U := U
% 19.14/19.53 end
% 19.14/19.53 permutation0:
% 19.14/19.53 0 ==> 0
% 19.14/19.53 end
% 19.14/19.53
% 19.14/19.53 resolution: (62000) {G1,W12,D2,L2,V5,M2} { ! alpha4( X, Y, Z, T, U ),
% 19.14/19.53 alpha5( X, Y, Z, T, U ) }.
% 19.14/19.53 parent0[2]: (129) {G0,W21,D2,L3,V5,M3} I { ! alpha4( X, Y, Z, T, U ),
% 19.14/19.53 alpha5( X, Y, Z, T, U ), ! eqangle( Z, X, X, T, X, Y, Y, U ) }.
% 19.14/19.53 parent1[0]: (61187) {G27,W9,D2,L1,V8,M1} R(60801,461);r(60802) { eqangle( X
% 19.14/19.53 , Y, Z, T, V0, V1, V2, V3 ) }.
% 19.14/19.53 substitution0:
% 19.14/19.53 X := X
% 19.14/19.53 Y := Y
% 19.14/19.53 Z := Z
% 19.14/19.53 T := T
% 19.14/19.53 U := U
% 19.14/19.53 end
% 19.14/19.53 substitution1:
% 19.14/19.53 X := Z
% 19.14/19.53 Y := X
% 19.14/19.53 Z := X
% 19.14/19.53 T := T
% 19.14/19.53 U := W
% 19.14/19.53 W := V0
% 19.14/19.53 V0 := X
% 19.14/19.53 V1 := Y
% 19.14/19.53 V2 := Y
% 19.14/19.53 V3 := U
% 19.14/19.53 end
% 19.14/19.53
% 19.14/19.53 resolution: (62001) {G2,W6,D2,L1,V5,M1} { ! alpha4( X, Y, Z, T, U ) }.
% 19.14/19.53 parent0[0]: (61198) {G29,W6,D2,L1,V5,M1} R(61187,133);r(61197) { ! alpha5(
% 19.14/19.53 X, Y, Z, T, U ) }.
% 19.14/19.53 parent1[1]: (62000) {G1,W12,D2,L2,V5,M2} { ! alpha4( X, Y, Z, T, U ),
% 19.14/19.53 alpha5( X, Y, Z, T, U ) }.
% 19.14/19.53 substitution0:
% 19.14/19.53 X := X
% 19.14/19.53 Y := Y
% 19.14/19.53 Z := Z
% 19.14/19.53 T := T
% 19.14/19.53 U := U
% 19.14/19.53 end
% 19.14/19.53 substitution1:
% 19.14/19.53 X := X
% 19.14/19.53 Y := Y
% 19.14/19.53 Z := Z
% 19.14/19.53 T := T
% 19.14/19.53 U := U
% 19.14/19.53 end
% 19.14/19.53
% 19.14/19.53 subsumption: (61199) {G30,W6,D2,L1,V5,M1} R(61187,129);r(61198) { ! alpha4
% 19.14/19.53 ( X, Y, Z, T, U ) }.
% 19.14/19.53 parent0: (62001) {G2,W6,D2,L1,V5,M1} { ! alpha4( X, Y, Z, T, U ) }.
% 19.14/19.53 substitution0:
% 19.14/19.53 X := X
% 19.14/19.53 Y := Y
% 19.14/19.53 Z := Z
% 19.14/19.53 T := T
% 19.14/19.53 U := U
% 19.14/19.53 end
% 19.14/19.53 permutation0:
% 19.14/19.53 0 ==> 0
% 19.14/19.53 end
% 19.14/19.53
% 19.14/19.53 resolution: (62002) {G1,W12,D2,L2,V5,M2} { ! alpha3( X, Y, Z, T, U ),
% 19.14/19.53 alpha4( X, Y, Z, T, U ) }.
% 19.14/19.53 parent0[2]: (125) {G0,W21,D2,L3,V5,M3} I { ! alpha3( X, Y, Z, T, U ),
% 19.14/19.53 alpha4( X, Y, Z, T, U ), ! eqangle( Z, X, X, T, X, U, U, Y ) }.
% 19.14/19.53 parent1[0]: (61187) {G27,W9,D2,L1,V8,M1} R(60801,461);r(60802) { eqangle( X
% 19.14/19.53 , Y, Z, T, V0, V1, V2, V3 ) }.
% 19.14/19.53 substitution0:
% 19.14/19.53 X := X
% 19.14/19.53 Y := Y
% 19.14/19.53 Z := Z
% 19.14/19.53 T := T
% 19.14/19.53 U := U
% 19.14/19.53 end
% 19.14/19.53 substitution1:
% 19.14/19.53 X := Z
% 19.14/19.53 Y := X
% 19.14/19.53 Z := X
% 19.14/19.53 T := T
% 19.14/19.53 U := W
% 19.14/19.53 W := V0
% 19.14/19.53 V0 := X
% 19.14/19.53 V1 := U
% 19.14/19.53 V2 := U
% 19.14/19.53 V3 := Y
% 19.14/19.53 end
% 19.14/19.53
% 19.14/19.53 resolution: (62003) {G2,W6,D2,L1,V5,M1} { ! alpha3( X, Y, Z, T, U ) }.
% 19.14/19.53 parent0[0]: (61199) {G30,W6,D2,L1,V5,M1} R(61187,129);r(61198) { ! alpha4(
% 19.14/19.53 X, Y, Z, T, U ) }.
% 19.14/19.53 parent1[1]: (62002) {G1,W12,D2,L2,V5,M2} { ! alpha3( X, Y, Z, T, U ),
% 19.14/19.53 alpha4( X, Y, Z, T, U ) }.
% 19.14/19.53 substitution0:
% 19.14/19.53 X := X
% 19.14/19.53 Y := Y
% 19.14/19.53 Z := Z
% 19.14/19.53 T := T
% 19.14/19.53 U := U
% 19.14/19.53 end
% 19.14/19.53 substitution1:
% 19.14/19.53 X := X
% 19.14/19.53 Y := Y
% 19.14/19.53 Z := Z
% 19.14/19.53 T := T
% 19.14/19.53 U := U
% 19.14/19.53 end
% 19.14/19.53
% 19.14/19.53 subsumption: (61200) {G31,W6,D2,L1,V5,M1} R(61187,125);r(61199) { ! alpha3
% 19.14/19.53 ( X, Y, Z, T, U ) }.
% 19.14/19.53 parent0: (62003) {G2,W6,D2,L1,V5,M1} { ! alpha3( X, Y, Z, T, U ) }.
% 19.14/19.53 substitution0:
% 19.14/19.53 X := X
% 19.14/19.53 Y := Y
% 19.14/19.53 Z := Z
% 19.14/19.53 T := T
% 19.14/19.53 U := U
% 19.14/19.53 end
% 19.14/19.53 permutation0:
% 19.14/19.53 0 ==> 0
% 19.14/19.53 end
% 19.14/19.53
% 19.14/19.53 resolution: (62004) {G1,W15,D2,L2,V0,M2} { alpha3( skol20, skol22, skol23
% 19.14/19.53 , skol24, skol25 ), ! eqangle( skol20, skol23, skol23, skol24, skol20,
% 19.14/19.53 skol22, skol22, skol25 ) }.
% 19.14/19.53 parent0[1]: (123) {G0,W24,D2,L3,V0,M3} I { alpha3( skol20, skol22, skol23,
% 19.14/19.53 skol24, skol25 ), ! eqangle( skol23, skol20, skol20, skol24, skol20,
% 19.14/19.53 skol25, skol25, skol22 ), ! eqangle( skol20, skol23, skol23, skol24,
% 19.14/19.53 skol20, skol22, skol22, skol25 ) }.
% 19.14/19.53 parent1[0]: (61187) {G27,W9,D2,L1,V8,M1} R(60801,461);r(60802) { eqangle( X
% 19.14/19.53 , Y, Z, T, V0, V1, V2, V3 ) }.
% 19.14/19.53 substitution0:
% 19.14/19.53 end
% 19.14/19.53 substitution1:
% 19.14/19.53 X := skol23
% 19.14/19.53 Y := skol20
% 19.14/19.53 Z := skol20
% 19.14/19.53 T := skol24
% 19.14/19.53 U := X
% 19.14/19.53 W := Y
% 19.14/19.53 V0 := skol20
% 19.14/19.53 V1 := skol25
% 19.14/19.53 V2 := skol25
% 19.14/19.53 V3 := skol22
% 19.14/19.53 end
% 19.14/19.53
% 19.14/19.53 resolution: (62006) {G2,W9,D2,L1,V0,M1} { ! eqangle( skol20, skol23,
% 19.14/19.53 skol23, skol24, skol20, skol22, skol22, skol25 ) }.
% 19.14/19.53 parent0[0]: (61200) {G31,W6,D2,L1,V5,M1} R(61187,125);r(61199) { ! alpha3(
% 19.14/19.53 X, Y, Z, T, U ) }.
% 19.14/19.53 parent1[0]: (62004) {G1,W15,D2,L2,V0,M2} { alpha3( skol20, skol22, skol23
% 19.14/19.53 , skol24, skol25 ), ! eqangle( skol20, skol23, skol23, skol24, skol20,
% 19.14/19.53 skol22, skol22, skol25 ) }.
% 19.14/19.53 substitution0:
% 19.14/19.53 X := skol20
% 19.14/19.53 Y := skol22
% 19.14/19.53 Z := skol23
% 19.14/19.53 T := skol24
% 19.14/19.53 U := skol25
% 19.14/19.53 end
% 19.14/19.53 substitution1:
% 19.14/19.53 end
% 19.14/19.53
% 19.14/19.53 subsumption: (61201) {G32,W9,D2,L1,V0,M1} R(61187,123);r(61200) { ! eqangle
% 19.14/19.53 ( skol20, skol23, skol23, skol24, skol20, skol22, skol22, skol25 ) }.
% 19.14/19.53 parent0: (62006) {G2,W9,D2,L1,V0,M1} { ! eqangle( skol20, skol23, skol23,
% 19.14/19.53 skol24, skol20, skol22, skol22, skol25 ) }.
% 19.14/19.53 substitution0:
% 19.14/19.53 end
% 19.14/19.53 permutation0:
% 19.14/19.53 0 ==> 0
% 19.14/19.53 end
% 19.14/19.53
% 19.14/19.53 resolution: (62007) {G28,W0,D0,L0,V0,M0} { }.
% 19.14/19.53 parent0[0]: (61201) {G32,W9,D2,L1,V0,M1} R(61187,123);r(61200) { ! eqangle
% 19.14/19.53 ( skol20, skol23, skol23, skol24, skol20, skol22, skol22, skol25 ) }.
% 19.14/19.53 parent1[0]: (61187) {G27,W9,D2,L1,V8,M1} R(60801,461);r(60802) { eqangle( X
% 19.14/19.53 , Y, Z, T, V0, V1, V2, V3 ) }.
% 19.14/19.53 substitution0:
% 19.14/19.53 end
% 19.14/19.53 substitution1:
% 19.14/19.53 X := skol20
% 19.14/19.53 Y := skol23
% 19.14/19.53 Z := skol23
% 19.14/19.53 T := skol24
% 19.14/19.53 U := X
% 19.14/19.53 W := Y
% 19.14/19.53 V0 := skol20
% 19.14/19.53 V1 := skol22
% 19.14/19.53 V2 := skol22
% 19.14/19.53 V3 := skol25
% 19.14/19.53 end
% 19.14/19.53
% 19.14/19.53 subsumption: (61204) {G33,W0,D0,L0,V0,M0} S(61201);r(61187) { }.
% 19.14/19.53 parent0: (62007) {G28,W0,D0,L0,V0,M0} { }.
% 19.14/19.53 substitution0:
% 19.14/19.53 end
% 19.14/19.53 permutation0:
% 19.14/19.53 end
% 19.14/19.53
% 19.14/19.53 Proof check complete!
% 19.14/19.53
% 19.14/19.53 Memory use:
% 19.14/19.53
% 19.14/19.53 space for terms: 893711
% 19.14/19.53 space for clauses: 2928236
% 19.14/19.53
% 19.14/19.53
% 19.14/19.53 clauses generated: 453808
% 19.14/19.53 clauses kept: 61205
% 19.14/19.53 clauses selected: 3463
% 19.14/19.53 clauses deleted: 29687
% 19.14/19.53 clauses inuse deleted: 3005
% 19.14/19.53
% 19.14/19.53 subsentry: 10572709
% 19.14/19.53 literals s-matched: 7297626
% 19.14/19.53 literals matched: 4016531
% 19.14/19.53 full subsumption: 2175704
% 19.14/19.53
% 19.14/19.53 checksum: -154260428
% 19.14/19.53
% 19.14/19.53
% 19.14/19.53 Bliksem ended
%------------------------------------------------------------------------------