TSTP Solution File: GEO656+1 by Bliksem---1.12
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : GEO656+1 : TPTP v8.1.0. Released v7.5.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n008.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 02:55:24 EDT 2022
% Result : Theorem 37.43s 37.79s
% Output : Refutation 37.43s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : GEO656+1 : TPTP v8.1.0. Released v7.5.0.
% 0.11/0.12 % Command : bliksem %s
% 0.12/0.33 % Computer : n008.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % DateTime : Sat Jun 18 00:18:07 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.70/1.12 *** allocated 10000 integers for termspace/termends
% 0.70/1.12 *** allocated 10000 integers for clauses
% 0.70/1.12 *** allocated 10000 integers for justifications
% 0.70/1.12 Bliksem 1.12
% 0.70/1.12
% 0.70/1.12
% 0.70/1.12 Automatic Strategy Selection
% 0.70/1.12
% 0.70/1.12 *** allocated 15000 integers for termspace/termends
% 0.70/1.12
% 0.70/1.12 Clauses:
% 0.70/1.12
% 0.70/1.12 { ! coll( X, Y, Z ), coll( X, Z, Y ) }.
% 0.70/1.12 { ! coll( X, Y, Z ), coll( Y, X, Z ) }.
% 0.70/1.12 { ! coll( X, T, Y ), ! coll( X, T, Z ), coll( Y, Z, X ) }.
% 0.70/1.12 { ! para( X, Y, Z, T ), para( X, Y, T, Z ) }.
% 0.70/1.12 { ! para( X, Y, Z, T ), para( Z, T, X, Y ) }.
% 0.70/1.12 { ! para( X, Y, U, W ), ! para( U, W, Z, T ), para( X, Y, Z, T ) }.
% 0.70/1.12 { ! perp( X, Y, Z, T ), perp( X, Y, T, Z ) }.
% 0.70/1.12 { ! perp( X, Y, Z, T ), perp( Z, T, X, Y ) }.
% 0.70/1.12 { ! perp( X, Y, U, W ), ! perp( U, W, Z, T ), para( X, Y, Z, T ) }.
% 0.70/1.12 { ! para( X, Y, U, W ), ! perp( U, W, Z, T ), perp( X, Y, Z, T ) }.
% 0.70/1.12 { ! midp( Z, Y, X ), midp( Z, X, Y ) }.
% 0.70/1.12 { ! cong( T, X, T, Y ), ! cong( T, X, T, Z ), circle( T, X, Y, Z ) }.
% 0.70/1.12 { ! cong( U, X, U, Y ), ! cong( U, X, U, Z ), ! cong( U, X, U, T ), cyclic
% 0.70/1.12 ( X, Y, Z, T ) }.
% 0.70/1.12 { ! cyclic( X, Y, Z, T ), cyclic( X, Y, T, Z ) }.
% 0.70/1.12 { ! cyclic( X, Y, Z, T ), cyclic( X, Z, Y, T ) }.
% 0.70/1.12 { ! cyclic( X, Y, Z, T ), cyclic( Y, X, Z, T ) }.
% 0.70/1.12 { ! cyclic( U, X, Y, Z ), ! cyclic( U, X, Y, T ), cyclic( X, Y, Z, T ) }.
% 0.70/1.12 { ! eqangle( X, Y, Z, T, U, W, V0, V1 ), eqangle( Y, X, Z, T, U, W, V0, V1
% 0.70/1.12 ) }.
% 0.70/1.12 { ! eqangle( X, Y, Z, T, U, W, V0, V1 ), eqangle( Z, T, X, Y, V0, V1, U, W
% 0.70/1.12 ) }.
% 0.70/1.12 { ! eqangle( X, Y, Z, T, U, W, V0, V1 ), eqangle( U, W, V0, V1, X, Y, Z, T
% 0.70/1.12 ) }.
% 0.70/1.12 { ! eqangle( X, Y, Z, T, U, W, V0, V1 ), eqangle( X, Y, U, W, Z, T, V0, V1
% 0.70/1.12 ) }.
% 0.70/1.12 { ! eqangle( X, Y, Z, T, V2, V3, V4, V5 ), ! eqangle( V2, V3, V4, V5, U, W
% 0.70/1.12 , V0, V1 ), eqangle( X, Y, Z, T, U, W, V0, V1 ) }.
% 0.70/1.12 { ! cong( X, Y, Z, T ), cong( X, Y, T, Z ) }.
% 0.70/1.12 { ! cong( X, Y, Z, T ), cong( Z, T, X, Y ) }.
% 0.70/1.12 { ! cong( X, Y, U, W ), ! cong( U, W, Z, T ), cong( X, Y, Z, T ) }.
% 0.70/1.12 { ! eqratio( X, Y, Z, T, U, W, V0, V1 ), eqratio( Y, X, Z, T, U, W, V0, V1
% 0.70/1.12 ) }.
% 0.70/1.12 { ! eqratio( X, Y, Z, T, U, W, V0, V1 ), eqratio( Z, T, X, Y, V0, V1, U, W
% 0.70/1.12 ) }.
% 0.70/1.12 { ! eqratio( X, Y, Z, T, U, W, V0, V1 ), eqratio( U, W, V0, V1, X, Y, Z, T
% 0.70/1.12 ) }.
% 0.70/1.12 { ! eqratio( X, Y, Z, T, U, W, V0, V1 ), eqratio( X, Y, U, W, Z, T, V0, V1
% 0.70/1.12 ) }.
% 0.70/1.12 { ! eqratio( X, Y, Z, T, V2, V3, V4, V5 ), ! eqratio( V2, V3, V4, V5, U, W
% 0.70/1.12 , V0, V1 ), eqratio( X, Y, Z, T, U, W, V0, V1 ) }.
% 0.70/1.12 { ! simtri( X, Z, Y, T, W, U ), simtri( X, Y, Z, T, U, W ) }.
% 0.70/1.12 { ! simtri( Y, X, Z, U, T, W ), simtri( X, Y, Z, T, U, W ) }.
% 0.70/1.12 { ! simtri( T, U, W, X, Y, Z ), simtri( X, Y, Z, T, U, W ) }.
% 0.70/1.12 { ! simtri( X, Y, Z, V0, V1, V2 ), ! simtri( V0, V1, V2, T, U, W ), simtri
% 0.70/1.12 ( X, Y, Z, T, U, W ) }.
% 0.70/1.12 { ! contri( X, Z, Y, T, W, U ), contri( X, Y, Z, T, U, W ) }.
% 0.70/1.12 { ! contri( Y, X, Z, U, T, W ), contri( X, Y, Z, T, U, W ) }.
% 0.70/1.12 { ! contri( T, U, W, X, Y, Z ), contri( X, Y, Z, T, U, W ) }.
% 0.70/1.12 { ! contri( X, Y, Z, V0, V1, V2 ), ! contri( V0, V1, V2, T, U, W ), contri
% 0.70/1.12 ( X, Y, Z, T, U, W ) }.
% 0.70/1.12 { ! eqangle( X, Y, U, W, Z, T, U, W ), para( X, Y, Z, T ) }.
% 0.70/1.12 { ! para( X, Y, Z, T ), eqangle( X, Y, U, W, Z, T, U, W ) }.
% 0.70/1.12 { ! cyclic( X, Y, Z, T ), eqangle( Z, X, Z, Y, T, X, T, Y ) }.
% 0.70/1.12 { ! eqangle( Z, X, Z, Y, T, X, T, Y ), coll( Z, T, X ), cyclic( X, Y, Z, T
% 0.70/1.12 ) }.
% 0.70/1.12 { ! eqangle( Z, X, Z, Y, T, X, T, Y ), ! coll( Z, T, Y ), cyclic( X, Y, Z,
% 0.70/1.12 T ) }.
% 0.70/1.12 { ! cyclic( X, Y, U, Z ), ! cyclic( X, Y, U, T ), ! cyclic( X, Y, U, W ), !
% 0.70/1.12 eqangle( U, X, U, Y, W, Z, W, T ), cong( X, Y, Z, T ) }.
% 0.70/1.12 { ! midp( Z, U, X ), ! midp( T, U, Y ), para( Z, T, X, Y ) }.
% 0.70/1.12 { ! midp( U, X, T ), ! para( U, Z, T, Y ), ! coll( Z, X, Y ), midp( Z, X, Y
% 0.70/1.12 ) }.
% 0.70/1.12 { ! cong( Z, X, Z, Y ), eqangle( Z, X, X, Y, X, Y, Z, Y ) }.
% 0.70/1.12 { ! eqangle( Z, X, X, Y, X, Y, Z, Y ), coll( Z, X, Y ), cong( Z, X, Z, Y )
% 0.70/1.12 }.
% 0.70/1.12 { ! circle( U, X, Y, Z ), ! perp( U, X, X, T ), eqangle( X, T, X, Y, Z, X,
% 0.70/1.12 Z, Y ) }.
% 0.70/1.12 { ! circle( Y, X, T, U ), ! eqangle( X, Z, X, T, U, X, U, T ), perp( Y, X,
% 0.70/1.12 X, Z ) }.
% 0.70/1.12 { ! circle( T, X, Y, Z ), ! midp( U, Y, Z ), eqangle( X, Y, X, Z, T, Y, T,
% 0.70/1.12 U ) }.
% 0.70/1.12 { ! circle( U, T, X, Y ), ! coll( Z, X, Y ), ! eqangle( T, X, T, Y, U, X, U
% 0.70/1.12 , Z ), midp( Z, X, Y ) }.
% 0.70/1.12 { ! perp( X, Y, Y, T ), ! midp( Z, X, T ), cong( X, Z, Y, Z ) }.
% 0.70/1.12 { ! circle( T, X, Y, Z ), ! coll( T, X, Z ), perp( X, Y, Y, Z ) }.
% 0.70/1.12 { ! cyclic( X, Y, Z, T ), ! para( X, Y, Z, T ), eqangle( X, T, Z, T, Z, T,
% 0.70/1.12 Z, Y ) }.
% 0.70/1.12 { ! midp( T, X, Y ), ! perp( Z, T, X, Y ), cong( Z, X, Z, Y ) }.
% 0.70/1.12 { ! cong( X, Z, Y, Z ), ! cong( X, T, Y, T ), perp( X, Y, Z, T ) }.
% 0.70/1.12 { ! cong( X, Y, T, Y ), ! cong( X, Z, T, Z ), ! cyclic( X, T, Y, Z ), perp
% 0.70/1.12 ( Y, X, X, Z ) }.
% 0.70/1.12 { ! eqangle( X, Y, Y, Z, T, U, U, W ), ! eqangle( X, Z, Y, Z, T, W, U, W )
% 0.70/1.12 , coll( X, Y, Z ), simtri( X, Y, Z, T, U, W ) }.
% 0.70/1.12 { ! simtri( X, Y, Z, T, U, W ), eqratio( X, Y, X, Z, T, U, T, W ) }.
% 0.70/1.12 { ! simtri( X, Y, Z, T, U, W ), eqangle( X, Y, Y, Z, T, U, U, W ) }.
% 0.70/1.12 { ! simtri( X, Y, Z, T, U, W ), ! cong( X, Y, T, U ), contri( X, Y, Z, T, U
% 0.70/1.12 , W ) }.
% 0.70/1.12 { ! contri( X, Y, U, Z, T, W ), cong( X, Y, Z, T ) }.
% 0.70/1.12 { ! midp( U, X, Y ), ! midp( U, Z, T ), para( X, Z, Y, T ) }.
% 0.70/1.12 { ! midp( Z, T, U ), ! para( T, X, U, Y ), ! para( T, Y, U, X ), midp( Z, X
% 0.70/1.12 , Y ) }.
% 0.70/1.12 { ! para( X, Y, Z, T ), ! coll( U, X, Z ), ! coll( U, Y, T ), eqratio( U, X
% 0.70/1.12 , X, Z, U, Y, Y, T ) }.
% 0.70/1.12 { ! para( X, Y, X, Z ), coll( X, Y, Z ) }.
% 0.70/1.12 { ! cong( X, Y, X, Z ), ! coll( X, Y, Z ), midp( X, Y, Z ) }.
% 0.70/1.12 { ! midp( X, Y, Z ), cong( X, Y, X, Z ) }.
% 0.70/1.12 { ! midp( X, Y, Z ), coll( X, Y, Z ) }.
% 0.70/1.12 { ! midp( U, X, Y ), ! midp( W, Z, T ), eqratio( U, X, X, Y, W, Z, Z, T ) }
% 0.70/1.12 .
% 0.70/1.12 { ! eqangle( X, Y, Z, T, Z, T, X, Y ), para( X, Y, Z, T ), perp( X, Y, Z, T
% 0.70/1.12 ) }.
% 0.70/1.12 { ! eqangle( X, Y, Z, T, Z, T, X, Y ), perp( X, Y, Z, T ), para( X, Y, Z, T
% 0.70/1.12 ) }.
% 0.70/1.12 { ! eqangle( X, Y, Z, T, U, W, V0, V1 ), ! para( U, W, V0, V1 ), para( X, Y
% 0.70/1.12 , Z, T ) }.
% 0.70/1.12 { ! eqangle( X, Y, Z, T, U, W, V0, V1 ), ! perp( U, W, V0, V1 ), perp( X, Y
% 0.70/1.12 , Z, T ) }.
% 0.70/1.12 { ! eqratio( X, Y, Z, T, U, W, V0, V1 ), ! cong( U, W, V0, V1 ), cong( X, Y
% 0.70/1.12 , Z, T ) }.
% 0.70/1.12 { ! perp( Z, Y, Y, X ), ! eqangle( T, Z, Y, Z, Y, Z, X, Z ), coll( skol1( U
% 0.70/1.12 , W, Z, T ), Z, T ) }.
% 0.70/1.12 { ! perp( Z, Y, Y, X ), ! eqangle( T, Z, Y, Z, Y, Z, X, Z ), coll( skol1( X
% 0.70/1.12 , Y, Z, T ), X, Y ) }.
% 0.70/1.12 { ! cong( Z, X, Z, Y ), ! eqangle( X, Z, Z, T, Z, T, Z, Y ), coll( skol2( U
% 0.70/1.12 , W, Z, T ), Z, T ) }.
% 0.70/1.12 { ! cong( Z, X, Z, Y ), ! eqangle( X, Z, Z, T, Z, T, Z, Y ), coll( Y, X,
% 0.70/1.12 skol2( X, Y, Z, T ) ) }.
% 0.70/1.12 { ! perp( Z, T, X, Y ), ! eqangle( X, Z, Z, T, Z, T, Z, Y ), coll( skol3( U
% 0.70/1.12 , W, Z, T ), Z, T ) }.
% 0.70/1.12 { ! perp( Z, T, X, Y ), ! eqangle( X, Z, Z, T, Z, T, Z, Y ), coll( Y, X,
% 0.70/1.12 skol3( X, Y, Z, T ) ) }.
% 0.70/1.12 { ! perp( Z, T, X, Y ), ! cong( Z, X, Z, Y ), coll( skol4( U, W, Z, T ), Z
% 0.70/1.12 , T ) }.
% 0.70/1.12 { ! perp( Z, T, X, Y ), ! cong( Z, X, Z, Y ), coll( Y, X, skol4( X, Y, Z, T
% 0.70/1.12 ) ) }.
% 0.70/1.12 { ! eqangle( X, Z, Y, Z, X, T, Y, U ), coll( X, Y, Z ), cyclic( T, Y, Z,
% 0.70/1.12 skol5( W, Y, Z, T ) ) }.
% 0.70/1.12 { ! eqangle( X, Z, Y, Z, X, T, Y, U ), coll( X, Y, Z ), eqangle( X, Z, Y, Z
% 0.70/1.12 , X, skol5( X, Y, Z, T ), Y, skol5( X, Y, Z, T ) ) }.
% 0.70/1.12 { ! midp( U, X, Y ), ! midp( W, Z, T ), midp( skol6( X, V0, V1, T, V2, V3 )
% 0.70/1.12 , X, T ) }.
% 0.70/1.12 { ! midp( U, X, Y ), ! midp( W, Z, T ), para( skol6( X, V0, Z, T, V1, W ),
% 0.70/1.12 W, X, Z ) }.
% 0.70/1.12 { ! midp( U, X, Y ), ! midp( W, Z, T ), para( skol6( X, Y, Z, T, U, W ), U
% 0.70/1.12 , Y, T ) }.
% 0.70/1.12 { ! midp( Z, X, Y ), ! midp( W, T, U ), ! coll( T, X, Y ), ! coll( U, X, Y
% 0.70/1.12 ), midp( skol7( X, V0 ), X, V0 ) }.
% 0.70/1.12 { ! midp( T, X, U ), ! para( X, W, Z, T ), ! para( X, W, U, Y ), ! coll( W
% 0.70/1.12 , Y, Z ), coll( skol8( V0, V1, Z, T ), T, Z ) }.
% 0.70/1.12 { ! midp( T, X, U ), ! para( X, W, Z, T ), ! para( X, W, U, Y ), ! coll( W
% 0.70/1.12 , Y, Z ), coll( skol8( X, Y, Z, T ), X, Y ) }.
% 0.70/1.12 { ! cong( T, Z, T, U ), ! perp( X, Y, Y, T ), cong( T, Z, T, skol9( W, V0,
% 0.70/1.12 Z, T ) ) }.
% 0.70/1.12 { ! cong( T, Z, T, U ), ! perp( X, Y, Y, T ), cong( Y, Z, Y, skol9( W, Y, Z
% 0.70/1.12 , T ) ) }.
% 0.70/1.12 { ! cong( T, Z, T, U ), ! perp( X, Y, Y, T ), para( skol9( X, Y, Z, T ), Z
% 0.70/1.12 , X, Y ) }.
% 0.70/1.12 { ! perp( X, T, Y, Z ), ! perp( Y, T, X, Z ), coll( skol10( U, Y, Z ), Z, Y
% 0.70/1.12 ) }.
% 0.70/1.12 { ! perp( X, T, Y, Z ), ! perp( Y, T, X, Z ), perp( X, skol10( X, Y, Z ), Z
% 0.70/1.12 , Y ) }.
% 0.70/1.12 { ! perp( X, T, Y, Z ), ! perp( Y, T, X, Z ), alpha1( X, Y, Z ) }.
% 0.70/1.12 { ! alpha1( X, Y, Z ), coll( skol11( X, T, Z ), Z, X ) }.
% 0.70/1.12 { ! alpha1( X, Y, Z ), perp( Y, skol11( X, Y, Z ), Z, X ) }.
% 0.70/1.12 { ! coll( T, Z, X ), ! perp( Y, T, Z, X ), alpha1( X, Y, Z ) }.
% 0.70/1.12 { ! circle( Y, X, Z, T ), perp( skol12( X, Y ), X, X, Y ) }.
% 6.14/6.56 { ! circle( W, X, Y, Z ), ! cong( W, X, W, T ), ! cong( U, X, U, Y ), W = U
% 6.14/6.56 , alpha2( X, Z, U, skol13( X, V0, Z, V1, U ) ) }.
% 6.14/6.56 { ! circle( W, X, Y, Z ), ! cong( W, X, W, T ), ! cong( U, X, U, Y ), W = U
% 6.14/6.56 , coll( skol21( V0, Y, T, V1 ), Y, T ) }.
% 6.14/6.56 { ! circle( W, X, Y, Z ), ! cong( W, X, W, T ), ! cong( U, X, U, Y ), W = U
% 6.14/6.56 , cong( skol21( X, Y, T, U ), U, U, X ) }.
% 6.14/6.56 { ! alpha2( X, Y, Z, T ), coll( T, X, Y ) }.
% 6.14/6.56 { ! alpha2( X, Y, Z, T ), cong( T, Z, Z, X ) }.
% 6.14/6.56 { ! coll( T, X, Y ), ! cong( T, Z, Z, X ), alpha2( X, Y, Z, T ) }.
% 6.14/6.56 { ! cyclic( X, Y, Z, T ), ! para( X, Y, Z, T ), ! midp( U, X, Y ), circle(
% 6.14/6.56 skol14( X, Y, Z ), X, Y, Z ) }.
% 6.14/6.56 { ! perp( X, Z, Z, Y ), ! cyclic( X, Y, Z, T ), circle( skol15( X, Y, Z ),
% 6.14/6.56 X, Y, Z ) }.
% 6.14/6.56 { ! perp( X, U, U, T ), ! coll( T, Y, Z ), coll( skol16( W, Y, Z ), Y, Z )
% 6.14/6.56 }.
% 6.14/6.56 { ! perp( X, U, U, T ), ! coll( T, Y, Z ), perp( skol16( X, Y, Z ), X, Y, Z
% 6.14/6.56 ) }.
% 6.14/6.56 { ! perp( X, Z, X, Y ), ! perp( Y, X, Y, T ), ! midp( U, Z, T ), midp(
% 6.14/6.56 skol17( X, Y ), X, Y ) }.
% 6.14/6.56 { ! cong( Y, X, Y, Z ), ! perp( X, Y, Y, Z ), coll( X, Y, skol18( X, Y ) )
% 6.14/6.56 }.
% 6.14/6.56 { ! cong( Y, X, Y, Z ), ! perp( X, Y, Y, Z ), cong( Y, X, Y, skol18( X, Y )
% 6.14/6.56 ) }.
% 6.14/6.56 { ! para( U, W, X, Y ), ! coll( Z, U, X ), ! coll( Z, W, Y ), ! coll( T, U
% 6.14/6.56 , W ), coll( Z, T, skol19( V0, V1, Z, T ) ) }.
% 6.14/6.56 { ! para( U, W, X, Y ), ! coll( Z, U, X ), ! coll( Z, W, Y ), ! coll( T, U
% 6.14/6.56 , W ), coll( skol19( X, Y, Z, T ), X, Y ) }.
% 6.14/6.56 { midp( skol25, skol22, skol20 ) }.
% 6.14/6.56 { eqangle( skol23, skol25, skol25, skol20, skol23, skol25, skol25, skol26 )
% 6.14/6.56 }.
% 6.14/6.56 { eqangle( skol24, skol25, skol25, skol22, skol24, skol25, skol25, skol26 )
% 6.14/6.56 }.
% 6.14/6.56 { ! para( skol23, skol24, skol20, skol22 ) }.
% 6.14/6.56
% 6.14/6.56 percentage equality = 0.008876, percentage horn = 0.925000
% 6.14/6.56 This is a problem with some equality
% 6.14/6.56
% 6.14/6.56
% 6.14/6.56
% 6.14/6.56 Options Used:
% 6.14/6.56
% 6.14/6.56 useres = 1
% 6.14/6.56 useparamod = 1
% 6.14/6.56 useeqrefl = 1
% 6.14/6.56 useeqfact = 1
% 6.14/6.56 usefactor = 1
% 6.14/6.56 usesimpsplitting = 0
% 6.14/6.56 usesimpdemod = 5
% 6.14/6.56 usesimpres = 3
% 6.14/6.56
% 6.14/6.56 resimpinuse = 1000
% 6.14/6.56 resimpclauses = 20000
% 6.14/6.56 substype = eqrewr
% 6.14/6.56 backwardsubs = 1
% 6.14/6.56 selectoldest = 5
% 6.14/6.56
% 6.14/6.56 litorderings [0] = split
% 6.14/6.56 litorderings [1] = extend the termordering, first sorting on arguments
% 6.14/6.56
% 6.14/6.56 termordering = kbo
% 6.14/6.56
% 6.14/6.56 litapriori = 0
% 6.14/6.56 termapriori = 1
% 6.14/6.56 litaposteriori = 0
% 6.14/6.56 termaposteriori = 0
% 6.14/6.56 demodaposteriori = 0
% 6.14/6.56 ordereqreflfact = 0
% 6.14/6.56
% 6.14/6.56 litselect = negord
% 6.14/6.56
% 6.14/6.56 maxweight = 15
% 6.14/6.56 maxdepth = 30000
% 6.14/6.56 maxlength = 115
% 6.14/6.56 maxnrvars = 195
% 6.14/6.56 excuselevel = 1
% 6.14/6.56 increasemaxweight = 1
% 6.14/6.56
% 6.14/6.56 maxselected = 10000000
% 6.14/6.56 maxnrclauses = 10000000
% 6.14/6.56
% 6.14/6.56 showgenerated = 0
% 6.14/6.56 showkept = 0
% 6.14/6.56 showselected = 0
% 6.14/6.56 showdeleted = 0
% 6.14/6.56 showresimp = 1
% 6.14/6.56 showstatus = 2000
% 6.14/6.56
% 6.14/6.56 prologoutput = 0
% 6.14/6.56 nrgoals = 5000000
% 6.14/6.56 totalproof = 1
% 6.14/6.56
% 6.14/6.56 Symbols occurring in the translation:
% 6.14/6.56
% 6.14/6.56 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 6.14/6.56 . [1, 2] (w:1, o:35, a:1, s:1, b:0),
% 6.14/6.56 ! [4, 1] (w:0, o:30, a:1, s:1, b:0),
% 6.14/6.56 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 6.14/6.56 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 6.14/6.56 coll [38, 3] (w:1, o:63, a:1, s:1, b:0),
% 6.14/6.56 para [40, 4] (w:1, o:71, a:1, s:1, b:0),
% 6.14/6.56 perp [43, 4] (w:1, o:72, a:1, s:1, b:0),
% 6.14/6.56 midp [45, 3] (w:1, o:64, a:1, s:1, b:0),
% 6.14/6.56 cong [47, 4] (w:1, o:73, a:1, s:1, b:0),
% 6.14/6.56 circle [48, 4] (w:1, o:74, a:1, s:1, b:0),
% 6.14/6.56 cyclic [49, 4] (w:1, o:75, a:1, s:1, b:0),
% 6.14/6.56 eqangle [54, 8] (w:1, o:90, a:1, s:1, b:0),
% 6.14/6.56 eqratio [57, 8] (w:1, o:91, a:1, s:1, b:0),
% 6.14/6.56 simtri [59, 6] (w:1, o:87, a:1, s:1, b:0),
% 6.14/6.56 contri [60, 6] (w:1, o:88, a:1, s:1, b:0),
% 6.14/6.56 alpha1 [64, 3] (w:1, o:65, a:1, s:1, b:1),
% 6.14/6.56 alpha2 [65, 4] (w:1, o:76, a:1, s:1, b:1),
% 6.14/6.56 skol1 [66, 4] (w:1, o:77, a:1, s:1, b:1),
% 6.14/6.56 skol2 [67, 4] (w:1, o:79, a:1, s:1, b:1),
% 6.14/6.56 skol3 [68, 4] (w:1, o:81, a:1, s:1, b:1),
% 6.14/6.56 skol4 [69, 4] (w:1, o:82, a:1, s:1, b:1),
% 6.14/6.56 skol5 [70, 4] (w:1, o:83, a:1, s:1, b:1),
% 6.14/6.56 skol6 [71, 6] (w:1, o:89, a:1, s:1, b:1),
% 6.14/6.56 skol7 [72, 2] (w:1, o:59, a:1, s:1, b:1),
% 6.14/6.56 skol8 [73, 4] (w:1, o:84, a:1, s:1, b:1),
% 6.14/6.56 skol9 [74, 4] (w:1, o:85, a:1, s:1, b:1),
% 32.35/32.76 skol10 [75, 3] (w:1, o:66, a:1, s:1, b:1),
% 32.35/32.76 skol11 [76, 3] (w:1, o:67, a:1, s:1, b:1),
% 32.35/32.76 skol12 [77, 2] (w:1, o:60, a:1, s:1, b:1),
% 32.35/32.76 skol13 [78, 5] (w:1, o:86, a:1, s:1, b:1),
% 32.35/32.76 skol14 [79, 3] (w:1, o:68, a:1, s:1, b:1),
% 32.35/32.76 skol15 [80, 3] (w:1, o:69, a:1, s:1, b:1),
% 32.35/32.76 skol16 [81, 3] (w:1, o:70, a:1, s:1, b:1),
% 32.35/32.76 skol17 [82, 2] (w:1, o:61, a:1, s:1, b:1),
% 32.35/32.76 skol18 [83, 2] (w:1, o:62, a:1, s:1, b:1),
% 32.35/32.76 skol19 [84, 4] (w:1, o:78, a:1, s:1, b:1),
% 32.35/32.76 skol20 [85, 0] (w:1, o:24, a:1, s:1, b:1),
% 32.35/32.76 skol21 [86, 4] (w:1, o:80, a:1, s:1, b:1),
% 32.35/32.76 skol22 [87, 0] (w:1, o:25, a:1, s:1, b:1),
% 32.35/32.76 skol23 [88, 0] (w:1, o:26, a:1, s:1, b:1),
% 32.35/32.76 skol24 [89, 0] (w:1, o:27, a:1, s:1, b:1),
% 32.35/32.76 skol25 [90, 0] (w:1, o:28, a:1, s:1, b:1),
% 32.35/32.76 skol26 [91, 0] (w:1, o:29, a:1, s:1, b:1).
% 32.35/32.76
% 32.35/32.76
% 32.35/32.76 Starting Search:
% 32.35/32.76
% 32.35/32.76 *** allocated 15000 integers for clauses
% 32.35/32.76 *** allocated 22500 integers for clauses
% 32.35/32.76 *** allocated 33750 integers for clauses
% 32.35/32.76 *** allocated 22500 integers for termspace/termends
% 32.35/32.76 *** allocated 50625 integers for clauses
% 32.35/32.76 Resimplifying inuse:
% 32.35/32.76 Done
% 32.35/32.76
% 32.35/32.76 *** allocated 33750 integers for termspace/termends
% 32.35/32.76 *** allocated 75937 integers for clauses
% 32.35/32.76 *** allocated 50625 integers for termspace/termends
% 32.35/32.76 *** allocated 113905 integers for clauses
% 32.35/32.76
% 32.35/32.76 Intermediate Status:
% 32.35/32.76 Generated: 26743
% 32.35/32.76 Kept: 2238
% 32.35/32.76 Inuse: 333
% 32.35/32.76 Deleted: 4
% 32.35/32.76 Deletedinuse: 1
% 32.35/32.76
% 32.35/32.76 Resimplifying inuse:
% 32.35/32.76 Done
% 32.35/32.76
% 32.35/32.76 *** allocated 170857 integers for clauses
% 32.35/32.76 *** allocated 75937 integers for termspace/termends
% 32.35/32.76 Resimplifying inuse:
% 32.35/32.76 Done
% 32.35/32.76
% 32.35/32.76 *** allocated 113905 integers for termspace/termends
% 32.35/32.76 *** allocated 256285 integers for clauses
% 32.35/32.76
% 32.35/32.76 Intermediate Status:
% 32.35/32.76 Generated: 43095
% 32.35/32.76 Kept: 4438
% 32.35/32.76 Inuse: 469
% 32.35/32.76 Deleted: 24
% 32.35/32.76 Deletedinuse: 2
% 32.35/32.76
% 32.35/32.76 Resimplifying inuse:
% 32.35/32.76 Done
% 32.35/32.76
% 32.35/32.76 *** allocated 170857 integers for termspace/termends
% 32.35/32.76 Resimplifying inuse:
% 32.35/32.76 Done
% 32.35/32.76
% 32.35/32.76 *** allocated 384427 integers for clauses
% 32.35/32.76
% 32.35/32.76 Intermediate Status:
% 32.35/32.76 Generated: 64970
% 32.35/32.76 Kept: 6445
% 32.35/32.76 Inuse: 551
% 32.35/32.76 Deleted: 24
% 32.35/32.76 Deletedinuse: 2
% 32.35/32.76
% 32.35/32.76 Resimplifying inuse:
% 32.35/32.76 Done
% 32.35/32.76
% 32.35/32.76 Resimplifying inuse:
% 32.35/32.76 Done
% 32.35/32.76
% 32.35/32.76 *** allocated 576640 integers for clauses
% 32.35/32.76 *** allocated 256285 integers for termspace/termends
% 32.35/32.76
% 32.35/32.76 Intermediate Status:
% 32.35/32.76 Generated: 95218
% 32.35/32.76 Kept: 8567
% 32.35/32.76 Inuse: 747
% 32.35/32.76 Deleted: 26
% 32.35/32.76 Deletedinuse: 2
% 32.35/32.76
% 32.35/32.76 Resimplifying inuse:
% 32.35/32.76 Done
% 32.35/32.76
% 32.35/32.76 Resimplifying inuse:
% 32.35/32.76 Done
% 32.35/32.76
% 32.35/32.76
% 32.35/32.76 Intermediate Status:
% 32.35/32.76 Generated: 111297
% 32.35/32.76 Kept: 10609
% 32.35/32.76 Inuse: 826
% 32.35/32.76 Deleted: 39
% 32.35/32.76 Deletedinuse: 9
% 32.35/32.76
% 32.35/32.76 Resimplifying inuse:
% 32.35/32.76 Done
% 32.35/32.76
% 32.35/32.76 Resimplifying inuse:
% 32.35/32.76 Done
% 32.35/32.76
% 32.35/32.76
% 32.35/32.76 Intermediate Status:
% 32.35/32.76 Generated: 121138
% 32.35/32.76 Kept: 12631
% 32.35/32.76 Inuse: 869
% 32.35/32.76 Deleted: 44
% 32.35/32.76 Deletedinuse: 11
% 32.35/32.76
% 32.35/32.76 Resimplifying inuse:
% 32.35/32.76 Done
% 32.35/32.76
% 32.35/32.76 *** allocated 864960 integers for clauses
% 32.35/32.76 Resimplifying inuse:
% 32.35/32.76 Done
% 32.35/32.76
% 32.35/32.76
% 32.35/32.76 Intermediate Status:
% 32.35/32.76 Generated: 140981
% 32.35/32.76 Kept: 14661
% 32.35/32.76 Inuse: 1059
% 32.35/32.76 Deleted: 64
% 32.35/32.76 Deletedinuse: 17
% 32.35/32.76
% 32.35/32.76 *** allocated 384427 integers for termspace/termends
% 32.35/32.76 Resimplifying inuse:
% 32.35/32.76 Done
% 32.35/32.76
% 32.35/32.76 Resimplifying inuse:
% 32.35/32.76 Done
% 32.35/32.76
% 32.35/32.76
% 32.35/32.76 Intermediate Status:
% 32.35/32.76 Generated: 157386
% 32.35/32.76 Kept: 16834
% 32.35/32.76 Inuse: 1234
% 32.35/32.76 Deleted: 78
% 32.35/32.76 Deletedinuse: 21
% 32.35/32.76
% 32.35/32.76 Resimplifying inuse:
% 32.35/32.76 Done
% 32.35/32.76
% 32.35/32.76
% 32.35/32.76 Intermediate Status:
% 32.35/32.76 Generated: 166907
% 32.35/32.76 Kept: 18846
% 32.35/32.76 Inuse: 1265
% 32.35/32.76 Deleted: 84
% 32.35/32.76 Deletedinuse: 25
% 32.35/32.76
% 32.35/32.76 Resimplifying inuse:
% 32.35/32.76 Done
% 32.35/32.76
% 32.35/32.76 *** allocated 1297440 integers for clauses
% 32.35/32.76 Resimplifying inuse:
% 32.35/32.76 Done
% 32.35/32.76
% 32.35/32.76 Resimplifying clauses:
% 32.35/32.76 Done
% 32.35/32.76
% 32.35/32.76
% 32.35/32.76 Intermediate Status:
% 32.35/32.76 Generated: 182032
% 32.35/32.76 Kept: 20856
% 32.35/32.76 Inuse: 1354
% 32.35/32.76 Deleted: 2926
% 32.35/32.76 Deletedinuse: 27
% 32.35/32.76
% 32.35/32.76 Resimplifying inuse:
% 32.35/32.76 Done
% 32.35/32.76
% 32.35/32.76 Resimplifying inuse:
% 32.35/32.76 Done
% 32.35/32.76
% 32.35/32.76
% 32.35/32.76 Intermediate Status:
% 32.35/32.76 Generated: 192265
% 32.35/32.76 Kept: 22891
% 32.35/32.76 Inuse: 1494
% 32.35/32.76 Deleted: 3885
% 32.35/32.76 Deletedinuse: 894
% 32.35/32.76
% 32.35/32.76 Resimplifying inuse:
% 32.35/32.76 Done
% 32.35/32.76
% 32.35/32.76 Resimplifying inuse:
% 32.35/32.76 Done
% 32.35/32.76
% 32.35/32.76 *** allocated 576640 integers for termspace/termends
% 32.35/32.76
% 32.35/32.76 Intermediate Status:
% 32.35/32.76 Generated: 205094
% 32.35/32.76 Kept: 24898
% 32.35/32.76 Inuse: 1722
% 32.35/32.76 Deleted: 3902
% 32.35/32.76 Deletedinuse: 894
% 32.35/32.76
% 32.35/32.76 Resimplifying inuse:
% 32.35/32.76 Done
% 32.35/32.76
% 32.35/32.76 Resimplifying inuse:
% 32.35/32.76 Done
% 32.35/32.76
% 32.35/32.76
% 32.35/32.76 Intermediate Status:
% 32.35/32.76 Generated: 213899
% 32.35/32.76 Kept: 26945
% 32.35/32.76 Inuse: 1844
% 32.35/32.76 Deleted: 3958
% 32.35/32.76 Deletedinuse: 894
% 32.35/32.76
% 32.35/32.76 Resimplifying inuse:
% 32.35/32.76 Done
% 32.35/32.76
% 32.35/32.76 Resimplifying inuse:
% 32.35/32.76 Done
% 37.42/37.79
% 37.42/37.79
% 37.42/37.79 Intermediate Status:
% 37.42/37.79 Generated: 225482
% 37.42/37.79 Kept: 28946
% 37.42/37.79 Inuse: 2003
% 37.42/37.79 Deleted: 4008
% 37.42/37.79 Deletedinuse: 901
% 37.42/37.79
% 37.42/37.79 *** allocated 1946160 integers for clauses
% 37.42/37.79 Resimplifying inuse:
% 37.42/37.79 Done
% 37.42/37.79
% 37.42/37.79 Resimplifying inuse:
% 37.42/37.79 Done
% 37.42/37.79
% 37.42/37.79
% 37.42/37.79 Intermediate Status:
% 37.42/37.79 Generated: 239503
% 37.42/37.79 Kept: 30954
% 37.42/37.79 Inuse: 2190
% 37.42/37.79 Deleted: 4055
% 37.42/37.79 Deletedinuse: 901
% 37.42/37.79
% 37.42/37.79 Resimplifying inuse:
% 37.42/37.79 Done
% 37.42/37.79
% 37.42/37.79 Resimplifying inuse:
% 37.42/37.79 Done
% 37.42/37.79
% 37.42/37.79
% 37.42/37.79 Intermediate Status:
% 37.42/37.79 Generated: 275062
% 37.42/37.79 Kept: 32964
% 37.42/37.79 Inuse: 2405
% 37.42/37.79 Deleted: 4065
% 37.42/37.79 Deletedinuse: 902
% 37.42/37.79
% 37.42/37.79 Resimplifying inuse:
% 37.42/37.79 Done
% 37.42/37.79
% 37.42/37.79
% 37.42/37.79 Intermediate Status:
% 37.42/37.79 Generated: 278310
% 37.42/37.79 Kept: 35326
% 37.42/37.79 Inuse: 2415
% 37.42/37.79 Deleted: 4065
% 37.42/37.79 Deletedinuse: 902
% 37.42/37.79
% 37.42/37.79 Resimplifying inuse:
% 37.42/37.79 Done
% 37.42/37.79
% 37.42/37.79 Resimplifying inuse:
% 37.42/37.79 Done
% 37.42/37.79
% 37.42/37.79
% 37.42/37.79 Intermediate Status:
% 37.42/37.79 Generated: 282827
% 37.42/37.79 Kept: 37329
% 37.42/37.79 Inuse: 2442
% 37.42/37.79 Deleted: 4065
% 37.42/37.79 Deletedinuse: 902
% 37.42/37.79
% 37.42/37.79 Resimplifying inuse:
% 37.42/37.79 Done
% 37.42/37.79
% 37.42/37.79 *** allocated 864960 integers for termspace/termends
% 37.42/37.79 Resimplifying inuse:
% 37.42/37.79 Done
% 37.42/37.79
% 37.42/37.79
% 37.42/37.79 Intermediate Status:
% 37.42/37.79 Generated: 294755
% 37.42/37.79 Kept: 39339
% 37.42/37.79 Inuse: 2579
% 37.42/37.79 Deleted: 4097
% 37.42/37.79 Deletedinuse: 902
% 37.42/37.79
% 37.42/37.79 Resimplifying inuse:
% 37.42/37.79 Done
% 37.42/37.79
% 37.42/37.79 Resimplifying clauses:
% 37.42/37.79 Done
% 37.42/37.79
% 37.42/37.79 Resimplifying inuse:
% 37.42/37.79 Done
% 37.42/37.79
% 37.42/37.79
% 37.42/37.79 Intermediate Status:
% 37.42/37.79 Generated: 305143
% 37.42/37.79 Kept: 41357
% 37.42/37.79 Inuse: 2685
% 37.42/37.79 Deleted: 17574
% 37.42/37.79 Deletedinuse: 914
% 37.42/37.79
% 37.42/37.79 Resimplifying inuse:
% 37.42/37.79 Done
% 37.42/37.79
% 37.42/37.79 Resimplifying inuse:
% 37.42/37.79 Done
% 37.42/37.79
% 37.42/37.79 *** allocated 2919240 integers for clauses
% 37.42/37.79
% 37.42/37.79 Intermediate Status:
% 37.42/37.79 Generated: 317718
% 37.42/37.79 Kept: 43360
% 37.42/37.79 Inuse: 2813
% 37.42/37.79 Deleted: 17597
% 37.42/37.79 Deletedinuse: 936
% 37.42/37.79
% 37.42/37.79 Resimplifying inuse:
% 37.42/37.79 Done
% 37.42/37.79
% 37.42/37.79 Resimplifying inuse:
% 37.42/37.79 Done
% 37.42/37.79
% 37.42/37.79
% 37.42/37.79 Intermediate Status:
% 37.42/37.79 Generated: 341390
% 37.42/37.79 Kept: 45806
% 37.42/37.79 Inuse: 2922
% 37.42/37.79 Deleted: 17615
% 37.42/37.79 Deletedinuse: 954
% 37.42/37.79
% 37.42/37.79 Resimplifying inuse:
% 37.42/37.79 Done
% 37.42/37.79
% 37.42/37.79 Resimplifying inuse:
% 37.42/37.79 Done
% 37.42/37.79
% 37.42/37.79
% 37.42/37.79 Intermediate Status:
% 37.42/37.79 Generated: 350725
% 37.42/37.79 Kept: 48201
% 37.42/37.79 Inuse: 2957
% 37.42/37.79 Deleted: 17621
% 37.42/37.79 Deletedinuse: 960
% 37.42/37.79
% 37.42/37.79 Resimplifying inuse:
% 37.42/37.79 Done
% 37.42/37.79
% 37.42/37.79 Resimplifying inuse:
% 37.42/37.79 Done
% 37.42/37.79
% 37.42/37.79
% 37.42/37.79 Intermediate Status:
% 37.42/37.79 Generated: 376462
% 37.42/37.79 Kept: 50202
% 37.42/37.79 Inuse: 3073
% 37.42/37.79 Deleted: 17621
% 37.42/37.79 Deletedinuse: 960
% 37.42/37.79
% 37.42/37.79 Resimplifying inuse:
% 37.42/37.79 Done
% 37.42/37.79
% 37.42/37.79 Resimplifying inuse:
% 37.42/37.79 Done
% 37.42/37.79
% 37.42/37.79
% 37.42/37.79 Intermediate Status:
% 37.42/37.79 Generated: 390822
% 37.42/37.79 Kept: 52255
% 37.42/37.79 Inuse: 3116
% 37.42/37.79 Deleted: 17622
% 37.42/37.79 Deletedinuse: 960
% 37.42/37.79
% 37.42/37.79 Resimplifying inuse:
% 37.42/37.79 Done
% 37.42/37.79
% 37.42/37.79 Resimplifying inuse:
% 37.42/37.79 Done
% 37.42/37.79
% 37.42/37.79
% 37.42/37.79 Intermediate Status:
% 37.42/37.79 Generated: 409048
% 37.42/37.79 Kept: 54283
% 37.42/37.79 Inuse: 3187
% 37.42/37.79 Deleted: 17646
% 37.42/37.79 Deletedinuse: 961
% 37.42/37.79
% 37.42/37.79 Resimplifying inuse:
% 37.42/37.79 Done
% 37.42/37.79
% 37.42/37.79
% 37.42/37.79 Intermediate Status:
% 37.42/37.79 Generated: 418441
% 37.42/37.79 Kept: 56384
% 37.42/37.79 Inuse: 3238
% 37.42/37.79 Deleted: 17646
% 37.42/37.79 Deletedinuse: 961
% 37.42/37.79
% 37.42/37.79 Resimplifying inuse:
% 37.42/37.79 Done
% 37.42/37.79
% 37.42/37.79 Resimplifying inuse:
% 37.42/37.79 Done
% 37.42/37.79
% 37.42/37.79 *** allocated 1297440 integers for termspace/termends
% 37.42/37.79
% 37.42/37.79 Intermediate Status:
% 37.42/37.79 Generated: 459539
% 37.42/37.79 Kept: 58388
% 37.42/37.79 Inuse: 3502
% 37.42/37.79 Deleted: 17650
% 37.42/37.79 Deletedinuse: 962
% 37.42/37.79
% 37.42/37.79 Resimplifying inuse:
% 37.42/37.79 Done
% 37.42/37.79
% 37.42/37.79 Resimplifying inuse:
% 37.42/37.79 Done
% 37.42/37.79
% 37.42/37.79 Resimplifying clauses:
% 37.42/37.79 Done
% 37.42/37.79
% 37.42/37.79
% 37.42/37.79 Intermediate Status:
% 37.42/37.79 Generated: 476944
% 37.42/37.79 Kept: 60397
% 37.42/37.79 Inuse: 3625
% 37.42/37.79 Deleted: 19030
% 37.42/37.79 Deletedinuse: 962
% 37.42/37.79
% 37.42/37.79 Resimplifying inuse:
% 37.42/37.79 Done
% 37.42/37.79
% 37.42/37.79 Resimplifying inuse:
% 37.42/37.79 Done
% 37.42/37.79
% 37.42/37.79
% 37.42/37.79 Intermediate Status:
% 37.42/37.79 Generated: 494663
% 37.42/37.79 Kept: 63528
% 37.42/37.79 Inuse: 3677
% 37.42/37.79 Deleted: 19030
% 37.42/37.79 Deletedinuse: 962
% 37.42/37.79
% 37.42/37.79 Resimplifying inuse:
% 37.42/37.79 Done
% 37.42/37.79
% 37.42/37.79 *** allocated 4378860 integers for clauses
% 37.42/37.79 Resimplifying inuse:
% 37.42/37.79 Done
% 37.42/37.79
% 37.42/37.79
% 37.42/37.79 Intermediate Status:
% 37.42/37.79 Generated: 498429
% 37.42/37.79 Kept: 65612
% 37.42/37.79 Inuse: 3692
% 37.42/37.79 Deleted: 19030
% 37.42/37.79 Deletedinuse: 962
% 37.42/37.79
% 37.42/37.79 Resimplifying inuse:
% 37.42/37.79 Done
% 37.42/37.79
% 37.42/37.79 Resimplifying inuse:
% 37.42/37.79 Done
% 37.42/37.79
% 37.42/37.79
% 37.42/37.79 Intermediate Status:
% 37.42/37.79 Generated: 510905
% 37.42/37.79 Kept: 67616
% 37.42/37.79 Inuse: 3729
% 37.42/37.79 Deleted: 19478
% 37.42/37.79 Deletedinuse: 1404
% 37.42/37.79
% 37.42/37.79 Resimplifying inuse:
% 37.42/37.79 Done
% 37.42/37.79
% 37.42/37.79 Resimplifying inuse:
% 37.42/37.79 Done
% 37.42/37.79
% 37.42/37.79
% 37.42/37.79 Intermediate Status:
% 37.42/37.79 Generated: 557440
% 37.42/37.79 Kept: 69693
% 37.42/37.79 Inuse: 3820
% 37.42/37.79 Deleted: 19628
% 37.42/37.79 Deletedinuse: 1538
% 37.42/37.79
% 37.42/37.79 Resimplifying inuse:
% 37.42/37.79 Done
% 37.42/37.79
% 37.42/37.79
% 37.42/37.79 Intermediate Status:
% 37.42/37.79 Generated: 574386
% 37.42/37.79 Kept: 71990
% 37.42/37.79 Inuse: 3885
% 37.42/37.79 Deleted: 19690
% 37.42/37.79 Deletedinuse: 1595
% 37.42/37.79
% 37.42/37.79 Resimplifying inuse:
% 37.42/37.79 Done
% 37.42/37.79
% 37.42/37.79 Resimplifying inuse:
% 37.42/37.79 Done
% 37.42/37.79
% 37.42/37.79
% 37.42/37.79 Intermediate Status:
% 37.42/37.79 Generated: 586983
% 37.42/37.79 Kept: 74289
% 37.42/37.79 Inuse: 3925
% 37.42/37.79 Deleted: 19690
% 37.42/37.79 Deletedinuse: 1595
% 37.42/37.79
% 37.42/37.79 Resimplifying inuse:
% 37.42/37.79 Done
% 37.42/37.79
% 37.42/37.79 Resimplifying inuse:
% 37.42/37.79 Done
% 37.42/37.79
% 37.42/37.79
% 37.42/37.79 Intermediate Status:
% 37.42/37.79 Generated: 592405
% 37.43/37.79 Kept: 76342
% 37.43/37.79 Inuse: 3945
% 37.43/37.79 Deleted: 19690
% 37.43/37.79 Deletedinuse: 1595
% 37.43/37.79
% 37.43/37.79 Resimplifying inuse:
% 37.43/37.79 Done
% 37.43/37.79
% 37.43/37.79 Resimplifying inuse:
% 37.43/37.79 Done
% 37.43/37.79
% 37.43/37.79
% 37.43/37.79 Intermediate Status:
% 37.43/37.79 Generated: 607988
% 37.43/37.79 Kept: 78348
% 37.43/37.79 Inuse: 4056
% 37.43/37.79 Deleted: 19690
% 37.43/37.79 Deletedinuse: 1595
% 37.43/37.79
% 37.43/37.79 Resimplifying inuse:
% 37.43/37.79 Done
% 37.43/37.79
% 37.43/37.79 Resimplifying inuse:
% 37.43/37.79 Done
% 37.43/37.79
% 37.43/37.79
% 37.43/37.79 Intermediate Status:
% 37.43/37.79 Generated: 623940
% 37.43/37.79 Kept: 80720
% 37.43/37.79 Inuse: 4115
% 37.43/37.79 Deleted: 19690
% 37.43/37.79 Deletedinuse: 1595
% 37.43/37.79
% 37.43/37.79 Resimplifying inuse:
% 37.43/37.79 Done
% 37.43/37.79
% 37.43/37.79 Resimplifying clauses:
% 37.43/37.79 Done
% 37.43/37.79
% 37.43/37.79
% 37.43/37.79 Bliksems!, er is een bewijs:
% 37.43/37.79 % SZS status Theorem
% 37.43/37.79 % SZS output start Refutation
% 37.43/37.79
% 37.43/37.79 (0) {G0,W8,D2,L2,V3,M2} I { ! coll( X, Y, Z ), coll( X, Z, Y ) }.
% 37.43/37.79 (1) {G0,W8,D2,L2,V3,M2} I { ! coll( X, Y, Z ), coll( Y, X, Z ) }.
% 37.43/37.79 (2) {G0,W12,D2,L3,V4,M3} I { ! coll( X, T, Y ), ! coll( X, T, Z ), coll( Y
% 37.43/37.79 , Z, X ) }.
% 37.43/37.79 (3) {G0,W10,D2,L2,V4,M2} I { ! para( X, Y, Z, T ), para( X, Y, T, Z ) }.
% 37.43/37.79 (4) {G0,W10,D2,L2,V4,M2} I { ! para( X, Y, Z, T ), para( Z, T, X, Y ) }.
% 37.43/37.79 (6) {G0,W10,D2,L2,V4,M2} I { ! perp( X, Y, Z, T ), perp( X, Y, T, Z ) }.
% 37.43/37.79 (7) {G0,W10,D2,L2,V4,M2} I { ! perp( X, Y, Z, T ), perp( Z, T, X, Y ) }.
% 37.43/37.79 (8) {G0,W15,D2,L3,V6,M3} I { ! perp( X, Y, U, W ), ! perp( U, W, Z, T ),
% 37.43/37.79 para( X, Y, Z, T ) }.
% 37.43/37.79 (10) {G0,W8,D2,L2,V3,M2} I { ! midp( Z, Y, X ), midp( Z, X, Y ) }.
% 37.43/37.79 (11) {G0,W15,D2,L3,V4,M3} I { ! cong( T, X, T, Y ), ! cong( T, X, T, Z ),
% 37.43/37.79 circle( T, X, Y, Z ) }.
% 37.43/37.79 (13) {G0,W10,D2,L2,V4,M2} I { ! cyclic( X, Y, Z, T ), cyclic( X, Y, T, Z )
% 37.43/37.79 }.
% 37.43/37.79 (14) {G0,W10,D2,L2,V4,M2} I { ! cyclic( X, Y, Z, T ), cyclic( X, Z, Y, T )
% 37.43/37.79 }.
% 37.43/37.79 (15) {G0,W10,D2,L2,V4,M2} I { ! cyclic( X, Y, Z, T ), cyclic( Y, X, Z, T )
% 37.43/37.79 }.
% 37.43/37.79 (16) {G0,W15,D2,L3,V5,M3} I { ! cyclic( U, X, Y, Z ), ! cyclic( U, X, Y, T
% 37.43/37.79 ), cyclic( X, Y, Z, T ) }.
% 37.43/37.79 (24) {G0,W15,D2,L3,V6,M3} I { ! cong( X, Y, U, W ), ! cong( U, W, Z, T ),
% 37.43/37.79 cong( X, Y, Z, T ) }.
% 37.43/37.79 (39) {G0,W14,D2,L2,V6,M2} I { ! para( X, Y, Z, T ), eqangle( X, Y, U, W, Z
% 37.43/37.79 , T, U, W ) }.
% 37.43/37.79 (40) {G0,W14,D2,L2,V4,M2} I { ! cyclic( X, Y, Z, T ), eqangle( Z, X, Z, Y,
% 37.43/37.79 T, X, T, Y ) }.
% 37.43/37.79 (42) {G0,W18,D2,L3,V4,M3} I { ! eqangle( Z, X, Z, Y, T, X, T, Y ), ! coll(
% 37.43/37.79 Z, T, Y ), cyclic( X, Y, Z, T ) }.
% 37.43/37.79 (43) {G0,W29,D2,L5,V6,M5} I { ! cyclic( X, Y, U, Z ), ! cyclic( X, Y, U, T
% 37.43/37.79 ), ! cyclic( X, Y, U, W ), ! eqangle( U, X, U, Y, W, Z, W, T ), cong( X
% 37.43/37.79 , Y, Z, T ) }.
% 37.43/37.79 (53) {G0,W14,D2,L3,V4,M3} I { ! circle( T, X, Y, Z ), ! coll( T, X, Z ),
% 37.43/37.79 perp( X, Y, Y, Z ) }.
% 37.43/37.79 (57) {G0,W20,D2,L4,V4,M4} I { ! cong( X, Y, T, Y ), ! cong( X, Z, T, Z ), !
% 37.43/37.79 cyclic( X, T, Y, Z ), perp( Y, X, X, Z ) }.
% 37.43/37.79 (63) {G0,W13,D2,L3,V5,M3} I { ! midp( U, X, Y ), ! midp( U, Z, T ), para( X
% 37.43/37.79 , Z, Y, T ) }.
% 37.43/37.79 (68) {G0,W9,D2,L2,V3,M2} I { ! midp( X, Y, Z ), cong( X, Y, X, Z ) }.
% 37.43/37.79 (69) {G0,W8,D2,L2,V3,M2} I { ! midp( X, Y, Z ), coll( X, Y, Z ) }.
% 37.43/37.79 (88) {G0,W22,D3,L5,V7,M5} I { ! midp( Z, X, Y ), ! midp( W, T, U ), ! coll
% 37.43/37.79 ( T, X, Y ), ! coll( U, X, Y ), midp( skol7( X, V0 ), X, V0 ) }.
% 37.43/37.79 (110) {G0,W17,D3,L3,V5,M3} I { ! perp( X, U, U, T ), ! coll( T, Y, Z ),
% 37.43/37.79 perp( skol16( X, Y, Z ), X, Y, Z ) }.
% 37.43/37.79 (116) {G0,W4,D2,L1,V0,M1} I { midp( skol25, skol22, skol20 ) }.
% 37.43/37.79 (119) {G0,W5,D2,L1,V0,M1} I { ! para( skol23, skol24, skol20, skol22 ) }.
% 37.43/37.79 (120) {G1,W8,D2,L2,V3,M2} F(2) { ! coll( X, Y, Z ), coll( Z, Z, X ) }.
% 37.43/37.79 (122) {G1,W10,D2,L2,V3,M2} F(11) { ! cong( X, Y, X, Z ), circle( X, Y, Z, Z
% 37.43/37.79 ) }.
% 37.43/37.79 (142) {G1,W18,D3,L4,V4,M4} F(88) { ! midp( X, Y, Z ), ! coll( Y, Y, Z ), !
% 37.43/37.79 coll( Z, Y, Z ), midp( skol7( Y, T ), Y, T ) }.
% 37.43/37.79 (157) {G1,W4,D2,L1,V0,M1} R(69,116) { coll( skol25, skol22, skol20 ) }.
% 37.43/37.79 (158) {G1,W8,D2,L2,V3,M2} R(10,69) { ! midp( X, Y, Z ), coll( X, Z, Y ) }.
% 37.43/37.79 (159) {G1,W4,D2,L1,V0,M1} R(10,116) { midp( skol25, skol20, skol22 ) }.
% 37.43/37.79 (160) {G2,W4,D2,L1,V0,M1} R(0,157) { coll( skol25, skol20, skol22 ) }.
% 37.43/37.79 (164) {G2,W8,D2,L2,V3,M2} R(120,0) { coll( X, X, Y ), ! coll( Y, X, Z ) }.
% 37.43/37.79 (165) {G2,W8,D2,L2,V3,M2} R(120,0) { ! coll( X, Y, Z ), coll( Z, X, Z ) }.
% 37.43/37.79 (166) {G2,W4,D2,L1,V0,M1} R(120,157) { coll( skol20, skol20, skol25 ) }.
% 37.43/37.79 (168) {G2,W8,D2,L2,V3,M2} R(1,120) { ! coll( X, Y, Z ), coll( Z, Z, Y ) }.
% 37.43/37.79 (170) {G3,W4,D2,L1,V0,M1} R(1,160) { coll( skol20, skol25, skol22 ) }.
% 37.43/37.79 (172) {G1,W8,D2,L2,V3,M2} R(1,0) { ! coll( X, Y, Z ), coll( Y, Z, X ) }.
% 37.43/37.79 (174) {G1,W8,D2,L2,V3,M2} R(1,69) { coll( X, Y, Z ), ! midp( Y, X, Z ) }.
% 37.43/37.79 (175) {G4,W4,D2,L1,V0,M1} R(170,120) { coll( skol22, skol22, skol20 ) }.
% 37.43/37.79 (177) {G5,W4,D2,L1,V0,M1} R(175,120) { coll( skol20, skol20, skol22 ) }.
% 37.43/37.79 (178) {G5,W4,D2,L1,V0,M1} R(175,0) { coll( skol22, skol20, skol22 ) }.
% 37.43/37.79 (179) {G6,W4,D2,L1,V0,M1} R(177,0) { coll( skol20, skol22, skol20 ) }.
% 37.43/37.79 (201) {G1,W12,D2,L3,V4,M3} R(2,0) { ! coll( X, Y, Z ), coll( Z, T, X ), !
% 37.43/37.79 coll( X, T, Y ) }.
% 37.43/37.79 (225) {G1,W10,D2,L2,V4,M2} R(4,3) { ! para( X, Y, Z, T ), para( Z, T, Y, X
% 37.43/37.79 ) }.
% 37.43/37.79 (226) {G1,W5,D2,L1,V0,M1} R(4,119) { ! para( skol20, skol22, skol23, skol24
% 37.43/37.79 ) }.
% 37.43/37.79 (257) {G3,W8,D2,L2,V1,M2} R(166,2) { ! coll( skol20, skol20, X ), coll(
% 37.43/37.79 skol25, X, skol20 ) }.
% 37.43/37.79 (264) {G1,W10,D2,L2,V4,M2} R(7,6) { ! perp( X, Y, Z, T ), perp( Z, T, Y, X
% 37.43/37.79 ) }.
% 37.43/37.79 (267) {G2,W5,D2,L1,V0,M1} R(226,3) { ! para( skol20, skol22, skol24, skol23
% 37.43/37.79 ) }.
% 37.43/37.79 (269) {G3,W5,D2,L1,V0,M1} R(267,4) { ! para( skol24, skol23, skol20, skol22
% 37.43/37.79 ) }.
% 37.43/37.79 (271) {G4,W5,D2,L1,V0,M1} R(269,3) { ! para( skol24, skol23, skol22, skol20
% 37.43/37.79 ) }.
% 37.43/37.79 (289) {G5,W5,D2,L1,V0,M1} R(271,4) { ! para( skol22, skol20, skol24, skol23
% 37.43/37.79 ) }.
% 37.43/37.79 (290) {G6,W10,D2,L2,V2,M2} R(289,8) { ! perp( skol22, skol20, X, Y ), !
% 37.43/37.79 perp( X, Y, skol24, skol23 ) }.
% 37.43/37.79 (305) {G3,W8,D2,L2,V3,M2} R(168,168) { coll( X, X, Y ), ! coll( Z, X, Y )
% 37.43/37.79 }.
% 37.43/37.79 (308) {G3,W8,D2,L2,V3,M2} R(168,158) { coll( X, X, Y ), ! midp( Z, X, Y )
% 37.43/37.79 }.
% 37.43/37.79 (313) {G4,W8,D2,L2,V3,M2} R(305,0) { ! coll( X, Y, Z ), coll( Y, Z, Y ) }.
% 37.43/37.79 (316) {G5,W8,D2,L2,V3,M2} R(313,1) { coll( X, Y, X ), ! coll( X, Z, Y ) }.
% 37.43/37.79 (323) {G6,W8,D2,L2,V3,M2} R(316,1) { ! coll( X, Y, Z ), coll( Z, X, X ) }.
% 37.43/37.79 (331) {G7,W8,D2,L2,V3,M2} R(323,323) { coll( X, Y, Y ), ! coll( X, Z, Y )
% 37.43/37.79 }.
% 37.43/37.79 (339) {G8,W8,D2,L2,V3,M2} R(331,0) { coll( X, Y, Y ), ! coll( X, Y, Z ) }.
% 37.43/37.79 (351) {G1,W10,D2,L2,V4,M2} R(14,13) { ! cyclic( X, Y, Z, T ), cyclic( X, Z
% 37.43/37.79 , T, Y ) }.
% 37.43/37.79 (352) {G9,W12,D2,L3,V4,M3} R(339,2) { ! coll( X, Y, Z ), ! coll( X, Y, T )
% 37.43/37.79 , coll( T, Y, X ) }.
% 37.43/37.79 (355) {G10,W8,D2,L2,V3,M2} F(352) { ! coll( X, Y, Z ), coll( Z, Y, X ) }.
% 37.43/37.79 (357) {G11,W12,D2,L3,V4,M3} R(355,2) { coll( X, Y, Z ), ! coll( X, T, Z ),
% 37.43/37.79 ! coll( X, T, Y ) }.
% 37.43/37.79 (368) {G1,W10,D2,L2,V4,M2} R(15,14) { cyclic( X, Y, Z, T ), ! cyclic( Y, Z
% 37.43/37.79 , X, T ) }.
% 37.43/37.79 (369) {G1,W10,D2,L2,V4,M2} R(15,14) { ! cyclic( X, Y, Z, T ), cyclic( Y, Z
% 37.43/37.79 , X, T ) }.
% 37.43/37.79 (389) {G1,W15,D2,L3,V5,M3} R(16,13) { ! cyclic( X, Y, Z, T ), cyclic( Y, Z
% 37.43/37.79 , T, U ), ! cyclic( X, Y, U, Z ) }.
% 37.43/37.79 (445) {G4,W8,D2,L2,V2,M2} R(257,164) { coll( skol25, X, skol20 ), ! coll( X
% 37.43/37.79 , skol20, Y ) }.
% 37.43/37.79 (455) {G4,W8,D2,L2,V2,M2} R(257,308) { coll( skol25, X, skol20 ), ! midp( Y
% 37.43/37.79 , skol20, X ) }.
% 37.43/37.79 (555) {G5,W8,D2,L2,V2,M2} R(445,172) { ! coll( X, skol20, Y ), coll( X,
% 37.43/37.79 skol20, skol25 ) }.
% 37.43/37.79 (769) {G1,W14,D2,L3,V3,M3} R(42,39) { ! coll( X, X, Y ), cyclic( Z, Y, X, X
% 37.43/37.79 ), ! para( X, Z, X, Z ) }.
% 37.43/37.79 (818) {G6,W8,D2,L2,V2,M2} R(555,165) { coll( X, skol20, skol25 ), ! coll(
% 37.43/37.79 skol20, Y, X ) }.
% 37.43/37.79 (838) {G1,W20,D2,L4,V4,M4} R(43,40);f { ! cyclic( X, Y, Z, X ), ! cyclic( X
% 37.43/37.79 , Y, Z, Y ), ! cyclic( X, Y, Z, T ), cong( X, Y, X, Y ) }.
% 37.43/37.79 (870) {G2,W15,D2,L3,V3,M3} F(838) { ! cyclic( X, Y, Z, X ), ! cyclic( X, Y
% 37.43/37.79 , Z, Y ), cong( X, Y, X, Y ) }.
% 37.43/37.79 (872) {G7,W8,D2,L2,V2,M2} R(818,172) { ! coll( skol20, X, Y ), coll( skol20
% 37.43/37.79 , skol25, Y ) }.
% 37.43/37.79 (876) {G8,W8,D2,L2,V2,M2} R(872,174) { coll( skol20, skol25, X ), ! midp( Y
% 37.43/37.79 , skol20, X ) }.
% 37.43/37.79 (889) {G9,W8,D2,L2,V2,M2} R(876,1) { ! midp( X, skol20, Y ), coll( skol25,
% 37.43/37.79 skol20, Y ) }.
% 37.43/37.79 (1509) {G1,W25,D2,L5,V6,M5} R(57,24) { ! cong( X, Y, Z, Y ), ! cyclic( X, Z
% 37.43/37.79 , T, Y ), perp( T, X, X, Y ), ! cong( X, T, U, W ), ! cong( U, W, Z, T )
% 37.43/37.79 }.
% 37.43/37.79 (1721) {G1,W13,D2,L3,V5,M3} R(63,10) { ! midp( X, Y, Z ), para( Y, T, Z, U
% 37.43/37.79 ), ! midp( X, U, T ) }.
% 37.43/37.79 (1724) {G2,W9,D2,L2,V3,M2} F(1721) { ! midp( X, Y, Z ), para( Y, Z, Z, Y )
% 37.43/37.79 }.
% 37.43/37.79 (2276) {G1,W5,D2,L1,V0,M1} R(68,116) { cong( skol25, skol22, skol25, skol20
% 37.43/37.79 ) }.
% 37.43/37.79 (6661) {G2,W5,D2,L1,V0,M1} R(122,2276) { circle( skol25, skol22, skol20,
% 37.43/37.79 skol20 ) }.
% 37.43/37.79 (6671) {G3,W5,D2,L1,V0,M1} R(6661,53);r(157) { perp( skol22, skol20, skol20
% 37.43/37.79 , skol20 ) }.
% 37.43/37.79 (6693) {G4,W5,D2,L1,V0,M1} R(6671,7) { perp( skol20, skol20, skol22, skol20
% 37.43/37.79 ) }.
% 37.43/37.79 (6708) {G5,W5,D2,L1,V0,M1} R(6693,6) { perp( skol20, skol20, skol20, skol22
% 37.43/37.79 ) }.
% 37.43/37.79 (6723) {G6,W12,D3,L2,V2,M2} R(6708,110) { ! coll( skol22, X, Y ), perp(
% 37.43/37.79 skol16( skol20, X, Y ), skol20, X, Y ) }.
% 37.43/37.79 (7538) {G6,W10,D3,L2,V1,M2} R(142,159);r(177) { ! coll( skol22, skol20,
% 37.43/37.79 skol22 ), midp( skol7( skol20, X ), skol20, X ) }.
% 37.43/37.79 (7539) {G5,W10,D3,L2,V1,M2} R(142,116);r(175) { ! coll( skol20, skol22,
% 37.43/37.79 skol20 ), midp( skol7( skol22, X ), skol22, X ) }.
% 37.43/37.79 (20086) {G7,W6,D3,L1,V1,M1} S(7538);r(178) { midp( skol7( skol20, X ),
% 37.43/37.79 skol20, X ) }.
% 37.43/37.79 (20087) {G7,W6,D3,L1,V1,M1} S(7539);r(179) { midp( skol7( skol22, X ),
% 37.43/37.79 skol22, X ) }.
% 37.43/37.79 (20127) {G8,W4,D2,L1,V1,M1} R(20086,455) { coll( skol25, X, skol20 ) }.
% 37.43/37.79 (20143) {G10,W4,D2,L1,V1,M1} R(20086,889) { coll( skol25, skol20, X ) }.
% 37.43/37.79 (20177) {G11,W4,D2,L1,V2,M1} R(20127,201);r(20143) { coll( X, Y, skol25 )
% 37.43/37.79 }.
% 37.43/37.79 (20214) {G12,W4,D2,L1,V2,M1} R(20177,164) { coll( X, X, Y ) }.
% 37.43/37.79 (20219) {G13,W4,D2,L1,V3,M1} R(20214,357);r(20214) { coll( X, Y, Z ) }.
% 37.43/37.79 (20407) {G8,W6,D3,L1,V1,M1} R(20087,10) { midp( skol7( skol22, X ), X,
% 37.43/37.79 skol22 ) }.
% 37.43/37.79 (20451) {G14,W10,D3,L2,V2,M2} R(20407,142);r(20219) { ! coll( skol22, X,
% 37.43/37.79 skol22 ), midp( skol7( X, Y ), X, Y ) }.
% 37.43/37.79 (28811) {G14,W10,D2,L2,V3,M2} S(769);r(20219) { cyclic( Z, Y, X, X ), !
% 37.43/37.79 para( X, Z, X, Z ) }.
% 37.43/37.79 (40111) {G15,W6,D3,L1,V2,M1} S(20451);r(20219) { midp( skol7( X, Y ), X, Y
% 37.43/37.79 ) }.
% 37.43/37.79 (40169) {G14,W8,D3,L1,V2,M1} S(6723);r(20219) { perp( skol16( skol20, X, Y
% 37.43/37.79 ), skol20, X, Y ) }.
% 37.43/37.79 (40893) {G16,W6,D3,L1,V2,M1} R(40111,10) { midp( skol7( X, Y ), Y, X ) }.
% 37.43/37.79 (54273) {G15,W8,D3,L1,V2,M1} R(40169,264) { perp( X, Y, skol20, skol16(
% 37.43/37.79 skol20, X, Y ) ) }.
% 37.43/37.79 (54394) {G16,W8,D3,L1,V2,M1} R(54273,264) { perp( skol20, skol16( skol20, X
% 37.43/37.79 , Y ), Y, X ) }.
% 37.43/37.79 (54412) {G17,W8,D3,L1,V0,M1} R(54394,290) { ! perp( skol22, skol20, skol20
% 37.43/37.79 , skol16( skol20, skol23, skol24 ) ) }.
% 37.43/37.79 (66320) {G17,W5,D2,L1,V2,M1} R(1724,40893) { para( X, Y, Y, X ) }.
% 37.43/37.79 (66333) {G18,W5,D2,L1,V2,M1} R(66320,225) { para( X, Y, X, Y ) }.
% 37.43/37.79 (80781) {G19,W5,D2,L1,V3,M1} S(28811);r(66333) { cyclic( Z, Y, X, X ) }.
% 37.43/37.79 (80838) {G20,W5,D2,L1,V3,M1} R(80781,369) { cyclic( X, Y, Z, Y ) }.
% 37.43/37.79 (80839) {G20,W5,D2,L1,V3,M1} R(80781,368) { cyclic( X, Y, Z, X ) }.
% 37.43/37.79 (80840) {G20,W5,D2,L1,V3,M1} R(80781,351) { cyclic( X, Y, Y, Z ) }.
% 37.43/37.79 (80855) {G21,W5,D2,L1,V2,M1} R(80838,870);r(80839) { cong( X, Y, X, Y ) }.
% 37.43/37.79 (80866) {G21,W5,D2,L1,V3,M1} R(80838,389);r(80840) { cyclic( Y, Y, Z, T )
% 37.43/37.79 }.
% 37.43/37.79 (80891) {G22,W15,D2,L3,V5,M3} R(80866,1509);r(80855) { perp( Z, X, X, Y ),
% 37.43/37.79 ! cong( X, Z, T, U ), ! cong( T, U, X, Z ) }.
% 37.43/37.79 (80917) {G23,W5,D2,L1,V3,M1} F(80891);r(80855) { perp( X, Y, Y, Z ) }.
% 37.43/37.79 (80968) {G24,W0,D0,L0,V0,M0} R(80917,54412) { }.
% 37.43/37.79
% 37.43/37.79
% 37.43/37.79 % SZS output end Refutation
% 37.43/37.79 found a proof!
% 37.43/37.79
% 37.43/37.79
% 37.43/37.79 Unprocessed initial clauses:
% 37.43/37.79
% 37.43/37.79 (80970) {G0,W8,D2,L2,V3,M2} { ! coll( X, Y, Z ), coll( X, Z, Y ) }.
% 37.43/37.79 (80971) {G0,W8,D2,L2,V3,M2} { ! coll( X, Y, Z ), coll( Y, X, Z ) }.
% 37.43/37.79 (80972) {G0,W12,D2,L3,V4,M3} { ! coll( X, T, Y ), ! coll( X, T, Z ), coll
% 37.43/37.79 ( Y, Z, X ) }.
% 37.43/37.79 (80973) {G0,W10,D2,L2,V4,M2} { ! para( X, Y, Z, T ), para( X, Y, T, Z )
% 37.43/37.79 }.
% 37.43/37.79 (80974) {G0,W10,D2,L2,V4,M2} { ! para( X, Y, Z, T ), para( Z, T, X, Y )
% 37.43/37.79 }.
% 37.43/37.79 (80975) {G0,W15,D2,L3,V6,M3} { ! para( X, Y, U, W ), ! para( U, W, Z, T )
% 37.43/37.79 , para( X, Y, Z, T ) }.
% 37.43/37.79 (80976) {G0,W10,D2,L2,V4,M2} { ! perp( X, Y, Z, T ), perp( X, Y, T, Z )
% 37.43/37.79 }.
% 37.43/37.79 (80977) {G0,W10,D2,L2,V4,M2} { ! perp( X, Y, Z, T ), perp( Z, T, X, Y )
% 37.43/37.79 }.
% 37.43/37.79 (80978) {G0,W15,D2,L3,V6,M3} { ! perp( X, Y, U, W ), ! perp( U, W, Z, T )
% 37.43/37.79 , para( X, Y, Z, T ) }.
% 37.43/37.79 (80979) {G0,W15,D2,L3,V6,M3} { ! para( X, Y, U, W ), ! perp( U, W, Z, T )
% 37.43/37.79 , perp( X, Y, Z, T ) }.
% 37.43/37.79 (80980) {G0,W8,D2,L2,V3,M2} { ! midp( Z, Y, X ), midp( Z, X, Y ) }.
% 37.43/37.79 (80981) {G0,W15,D2,L3,V4,M3} { ! cong( T, X, T, Y ), ! cong( T, X, T, Z )
% 37.43/37.79 , circle( T, X, Y, Z ) }.
% 37.43/37.79 (80982) {G0,W20,D2,L4,V5,M4} { ! cong( U, X, U, Y ), ! cong( U, X, U, Z )
% 37.43/37.79 , ! cong( U, X, U, T ), cyclic( X, Y, Z, T ) }.
% 37.43/37.79 (80983) {G0,W10,D2,L2,V4,M2} { ! cyclic( X, Y, Z, T ), cyclic( X, Y, T, Z
% 37.43/37.79 ) }.
% 37.43/37.79 (80984) {G0,W10,D2,L2,V4,M2} { ! cyclic( X, Y, Z, T ), cyclic( X, Z, Y, T
% 37.43/37.79 ) }.
% 37.43/37.79 (80985) {G0,W10,D2,L2,V4,M2} { ! cyclic( X, Y, Z, T ), cyclic( Y, X, Z, T
% 37.43/37.79 ) }.
% 37.43/37.79 (80986) {G0,W15,D2,L3,V5,M3} { ! cyclic( U, X, Y, Z ), ! cyclic( U, X, Y,
% 37.43/37.79 T ), cyclic( X, Y, Z, T ) }.
% 37.43/37.79 (80987) {G0,W18,D2,L2,V8,M2} { ! eqangle( X, Y, Z, T, U, W, V0, V1 ),
% 37.43/37.79 eqangle( Y, X, Z, T, U, W, V0, V1 ) }.
% 37.43/37.79 (80988) {G0,W18,D2,L2,V8,M2} { ! eqangle( X, Y, Z, T, U, W, V0, V1 ),
% 37.43/37.79 eqangle( Z, T, X, Y, V0, V1, U, W ) }.
% 37.43/37.79 (80989) {G0,W18,D2,L2,V8,M2} { ! eqangle( X, Y, Z, T, U, W, V0, V1 ),
% 37.43/37.79 eqangle( U, W, V0, V1, X, Y, Z, T ) }.
% 37.43/37.79 (80990) {G0,W18,D2,L2,V8,M2} { ! eqangle( X, Y, Z, T, U, W, V0, V1 ),
% 37.43/37.79 eqangle( X, Y, U, W, Z, T, V0, V1 ) }.
% 37.43/37.79 (80991) {G0,W27,D2,L3,V12,M3} { ! eqangle( X, Y, Z, T, V2, V3, V4, V5 ), !
% 37.43/37.79 eqangle( V2, V3, V4, V5, U, W, V0, V1 ), eqangle( X, Y, Z, T, U, W, V0,
% 37.43/37.79 V1 ) }.
% 37.43/37.79 (80992) {G0,W10,D2,L2,V4,M2} { ! cong( X, Y, Z, T ), cong( X, Y, T, Z )
% 37.43/37.79 }.
% 37.43/37.79 (80993) {G0,W10,D2,L2,V4,M2} { ! cong( X, Y, Z, T ), cong( Z, T, X, Y )
% 37.43/37.79 }.
% 37.43/37.79 (80994) {G0,W15,D2,L3,V6,M3} { ! cong( X, Y, U, W ), ! cong( U, W, Z, T )
% 37.43/37.79 , cong( X, Y, Z, T ) }.
% 37.43/37.79 (80995) {G0,W18,D2,L2,V8,M2} { ! eqratio( X, Y, Z, T, U, W, V0, V1 ),
% 37.43/37.79 eqratio( Y, X, Z, T, U, W, V0, V1 ) }.
% 37.43/37.79 (80996) {G0,W18,D2,L2,V8,M2} { ! eqratio( X, Y, Z, T, U, W, V0, V1 ),
% 37.43/37.79 eqratio( Z, T, X, Y, V0, V1, U, W ) }.
% 37.43/37.79 (80997) {G0,W18,D2,L2,V8,M2} { ! eqratio( X, Y, Z, T, U, W, V0, V1 ),
% 37.43/37.79 eqratio( U, W, V0, V1, X, Y, Z, T ) }.
% 37.43/37.79 (80998) {G0,W18,D2,L2,V8,M2} { ! eqratio( X, Y, Z, T, U, W, V0, V1 ),
% 37.43/37.79 eqratio( X, Y, U, W, Z, T, V0, V1 ) }.
% 37.43/37.79 (80999) {G0,W27,D2,L3,V12,M3} { ! eqratio( X, Y, Z, T, V2, V3, V4, V5 ), !
% 37.43/37.79 eqratio( V2, V3, V4, V5, U, W, V0, V1 ), eqratio( X, Y, Z, T, U, W, V0,
% 37.43/37.79 V1 ) }.
% 37.43/37.79 (81000) {G0,W14,D2,L2,V6,M2} { ! simtri( X, Z, Y, T, W, U ), simtri( X, Y
% 37.43/37.79 , Z, T, U, W ) }.
% 37.43/37.79 (81001) {G0,W14,D2,L2,V6,M2} { ! simtri( Y, X, Z, U, T, W ), simtri( X, Y
% 37.43/37.79 , Z, T, U, W ) }.
% 37.43/37.79 (81002) {G0,W14,D2,L2,V6,M2} { ! simtri( T, U, W, X, Y, Z ), simtri( X, Y
% 37.43/37.79 , Z, T, U, W ) }.
% 37.43/37.79 (81003) {G0,W21,D2,L3,V9,M3} { ! simtri( X, Y, Z, V0, V1, V2 ), ! simtri(
% 37.43/37.79 V0, V1, V2, T, U, W ), simtri( X, Y, Z, T, U, W ) }.
% 37.43/37.79 (81004) {G0,W14,D2,L2,V6,M2} { ! contri( X, Z, Y, T, W, U ), contri( X, Y
% 37.43/37.79 , Z, T, U, W ) }.
% 37.43/37.79 (81005) {G0,W14,D2,L2,V6,M2} { ! contri( Y, X, Z, U, T, W ), contri( X, Y
% 37.43/37.79 , Z, T, U, W ) }.
% 37.43/37.79 (81006) {G0,W14,D2,L2,V6,M2} { ! contri( T, U, W, X, Y, Z ), contri( X, Y
% 37.43/37.79 , Z, T, U, W ) }.
% 37.43/37.79 (81007) {G0,W21,D2,L3,V9,M3} { ! contri( X, Y, Z, V0, V1, V2 ), ! contri(
% 37.43/37.79 V0, V1, V2, T, U, W ), contri( X, Y, Z, T, U, W ) }.
% 37.43/37.79 (81008) {G0,W14,D2,L2,V6,M2} { ! eqangle( X, Y, U, W, Z, T, U, W ), para(
% 37.43/37.79 X, Y, Z, T ) }.
% 37.43/37.79 (81009) {G0,W14,D2,L2,V6,M2} { ! para( X, Y, Z, T ), eqangle( X, Y, U, W,
% 37.43/37.79 Z, T, U, W ) }.
% 37.43/37.79 (81010) {G0,W14,D2,L2,V4,M2} { ! cyclic( X, Y, Z, T ), eqangle( Z, X, Z, Y
% 37.43/37.79 , T, X, T, Y ) }.
% 37.43/37.79 (81011) {G0,W18,D2,L3,V4,M3} { ! eqangle( Z, X, Z, Y, T, X, T, Y ), coll(
% 37.43/37.79 Z, T, X ), cyclic( X, Y, Z, T ) }.
% 37.43/37.79 (81012) {G0,W18,D2,L3,V4,M3} { ! eqangle( Z, X, Z, Y, T, X, T, Y ), ! coll
% 37.43/37.79 ( Z, T, Y ), cyclic( X, Y, Z, T ) }.
% 37.43/37.79 (81013) {G0,W29,D2,L5,V6,M5} { ! cyclic( X, Y, U, Z ), ! cyclic( X, Y, U,
% 37.43/37.80 T ), ! cyclic( X, Y, U, W ), ! eqangle( U, X, U, Y, W, Z, W, T ), cong( X
% 37.43/37.80 , Y, Z, T ) }.
% 37.43/37.80 (81014) {G0,W13,D2,L3,V5,M3} { ! midp( Z, U, X ), ! midp( T, U, Y ), para
% 37.43/37.80 ( Z, T, X, Y ) }.
% 37.43/37.80 (81015) {G0,W17,D2,L4,V5,M4} { ! midp( U, X, T ), ! para( U, Z, T, Y ), !
% 37.43/37.80 coll( Z, X, Y ), midp( Z, X, Y ) }.
% 37.43/37.80 (81016) {G0,W14,D2,L2,V3,M2} { ! cong( Z, X, Z, Y ), eqangle( Z, X, X, Y,
% 37.43/37.80 X, Y, Z, Y ) }.
% 37.43/37.80 (81017) {G0,W18,D2,L3,V3,M3} { ! eqangle( Z, X, X, Y, X, Y, Z, Y ), coll(
% 37.43/37.80 Z, X, Y ), cong( Z, X, Z, Y ) }.
% 37.43/37.80 (81018) {G0,W19,D2,L3,V5,M3} { ! circle( U, X, Y, Z ), ! perp( U, X, X, T
% 37.43/37.80 ), eqangle( X, T, X, Y, Z, X, Z, Y ) }.
% 37.43/37.80 (81019) {G0,W19,D2,L3,V5,M3} { ! circle( Y, X, T, U ), ! eqangle( X, Z, X
% 37.43/37.80 , T, U, X, U, T ), perp( Y, X, X, Z ) }.
% 37.43/37.80 (81020) {G0,W18,D2,L3,V5,M3} { ! circle( T, X, Y, Z ), ! midp( U, Y, Z ),
% 37.43/37.80 eqangle( X, Y, X, Z, T, Y, T, U ) }.
% 37.43/37.80 (81021) {G0,W22,D2,L4,V5,M4} { ! circle( U, T, X, Y ), ! coll( Z, X, Y ),
% 37.43/37.80 ! eqangle( T, X, T, Y, U, X, U, Z ), midp( Z, X, Y ) }.
% 37.43/37.80 (81022) {G0,W14,D2,L3,V4,M3} { ! perp( X, Y, Y, T ), ! midp( Z, X, T ),
% 37.43/37.80 cong( X, Z, Y, Z ) }.
% 37.43/37.80 (81023) {G0,W14,D2,L3,V4,M3} { ! circle( T, X, Y, Z ), ! coll( T, X, Z ),
% 37.43/37.80 perp( X, Y, Y, Z ) }.
% 37.43/37.80 (81024) {G0,W19,D2,L3,V4,M3} { ! cyclic( X, Y, Z, T ), ! para( X, Y, Z, T
% 37.43/37.80 ), eqangle( X, T, Z, T, Z, T, Z, Y ) }.
% 37.43/37.80 (81025) {G0,W14,D2,L3,V4,M3} { ! midp( T, X, Y ), ! perp( Z, T, X, Y ),
% 37.43/37.80 cong( Z, X, Z, Y ) }.
% 37.43/37.80 (81026) {G0,W15,D2,L3,V4,M3} { ! cong( X, Z, Y, Z ), ! cong( X, T, Y, T )
% 37.43/37.80 , perp( X, Y, Z, T ) }.
% 37.43/37.80 (81027) {G0,W20,D2,L4,V4,M4} { ! cong( X, Y, T, Y ), ! cong( X, Z, T, Z )
% 37.43/37.80 , ! cyclic( X, T, Y, Z ), perp( Y, X, X, Z ) }.
% 37.43/37.80 (81028) {G0,W29,D2,L4,V6,M4} { ! eqangle( X, Y, Y, Z, T, U, U, W ), !
% 37.43/37.80 eqangle( X, Z, Y, Z, T, W, U, W ), coll( X, Y, Z ), simtri( X, Y, Z, T, U
% 37.43/37.80 , W ) }.
% 37.43/37.80 (81029) {G0,W16,D2,L2,V6,M2} { ! simtri( X, Y, Z, T, U, W ), eqratio( X, Y
% 37.43/37.80 , X, Z, T, U, T, W ) }.
% 37.43/37.80 (81030) {G0,W16,D2,L2,V6,M2} { ! simtri( X, Y, Z, T, U, W ), eqangle( X, Y
% 37.43/37.80 , Y, Z, T, U, U, W ) }.
% 37.43/37.80 (81031) {G0,W19,D2,L3,V6,M3} { ! simtri( X, Y, Z, T, U, W ), ! cong( X, Y
% 37.43/37.80 , T, U ), contri( X, Y, Z, T, U, W ) }.
% 37.43/37.80 (81032) {G0,W12,D2,L2,V6,M2} { ! contri( X, Y, U, Z, T, W ), cong( X, Y, Z
% 37.43/37.80 , T ) }.
% 37.43/37.80 (81033) {G0,W13,D2,L3,V5,M3} { ! midp( U, X, Y ), ! midp( U, Z, T ), para
% 37.43/37.80 ( X, Z, Y, T ) }.
% 37.43/37.80 (81034) {G0,W18,D2,L4,V5,M4} { ! midp( Z, T, U ), ! para( T, X, U, Y ), !
% 37.43/37.80 para( T, Y, U, X ), midp( Z, X, Y ) }.
% 37.43/37.80 (81035) {G0,W22,D2,L4,V5,M4} { ! para( X, Y, Z, T ), ! coll( U, X, Z ), !
% 37.43/37.80 coll( U, Y, T ), eqratio( U, X, X, Z, U, Y, Y, T ) }.
% 37.43/37.80 (81036) {G0,W9,D2,L2,V3,M2} { ! para( X, Y, X, Z ), coll( X, Y, Z ) }.
% 37.43/37.80 (81037) {G0,W13,D2,L3,V3,M3} { ! cong( X, Y, X, Z ), ! coll( X, Y, Z ),
% 37.43/37.80 midp( X, Y, Z ) }.
% 37.43/37.80 (81038) {G0,W9,D2,L2,V3,M2} { ! midp( X, Y, Z ), cong( X, Y, X, Z ) }.
% 37.43/37.80 (81039) {G0,W8,D2,L2,V3,M2} { ! midp( X, Y, Z ), coll( X, Y, Z ) }.
% 37.43/37.80 (81040) {G0,W17,D2,L3,V6,M3} { ! midp( U, X, Y ), ! midp( W, Z, T ),
% 37.43/37.80 eqratio( U, X, X, Y, W, Z, Z, T ) }.
% 37.43/37.80 (81041) {G0,W19,D2,L3,V4,M3} { ! eqangle( X, Y, Z, T, Z, T, X, Y ), para(
% 37.43/37.80 X, Y, Z, T ), perp( X, Y, Z, T ) }.
% 37.43/37.80 (81042) {G0,W19,D2,L3,V4,M3} { ! eqangle( X, Y, Z, T, Z, T, X, Y ), perp(
% 37.43/37.80 X, Y, Z, T ), para( X, Y, Z, T ) }.
% 37.43/37.80 (81043) {G0,W19,D2,L3,V8,M3} { ! eqangle( X, Y, Z, T, U, W, V0, V1 ), !
% 37.43/37.80 para( U, W, V0, V1 ), para( X, Y, Z, T ) }.
% 37.43/37.80 (81044) {G0,W19,D2,L3,V8,M3} { ! eqangle( X, Y, Z, T, U, W, V0, V1 ), !
% 37.43/37.80 perp( U, W, V0, V1 ), perp( X, Y, Z, T ) }.
% 37.43/37.80 (81045) {G0,W19,D2,L3,V8,M3} { ! eqratio( X, Y, Z, T, U, W, V0, V1 ), !
% 37.43/37.80 cong( U, W, V0, V1 ), cong( X, Y, Z, T ) }.
% 37.43/37.80 (81046) {G0,W22,D3,L3,V6,M3} { ! perp( Z, Y, Y, X ), ! eqangle( T, Z, Y, Z
% 37.43/37.80 , Y, Z, X, Z ), coll( skol1( U, W, Z, T ), Z, T ) }.
% 37.43/37.80 (81047) {G0,W22,D3,L3,V4,M3} { ! perp( Z, Y, Y, X ), ! eqangle( T, Z, Y, Z
% 37.43/37.80 , Y, Z, X, Z ), coll( skol1( X, Y, Z, T ), X, Y ) }.
% 37.43/37.80 (81048) {G0,W22,D3,L3,V6,M3} { ! cong( Z, X, Z, Y ), ! eqangle( X, Z, Z, T
% 37.43/37.80 , Z, T, Z, Y ), coll( skol2( U, W, Z, T ), Z, T ) }.
% 37.43/37.80 (81049) {G0,W22,D3,L3,V4,M3} { ! cong( Z, X, Z, Y ), ! eqangle( X, Z, Z, T
% 37.43/37.80 , Z, T, Z, Y ), coll( Y, X, skol2( X, Y, Z, T ) ) }.
% 37.43/37.80 (81050) {G0,W22,D3,L3,V6,M3} { ! perp( Z, T, X, Y ), ! eqangle( X, Z, Z, T
% 37.43/37.80 , Z, T, Z, Y ), coll( skol3( U, W, Z, T ), Z, T ) }.
% 37.43/37.80 (81051) {G0,W22,D3,L3,V4,M3} { ! perp( Z, T, X, Y ), ! eqangle( X, Z, Z, T
% 37.43/37.80 , Z, T, Z, Y ), coll( Y, X, skol3( X, Y, Z, T ) ) }.
% 37.43/37.80 (81052) {G0,W18,D3,L3,V6,M3} { ! perp( Z, T, X, Y ), ! cong( Z, X, Z, Y )
% 37.43/37.80 , coll( skol4( U, W, Z, T ), Z, T ) }.
% 37.43/37.80 (81053) {G0,W18,D3,L3,V4,M3} { ! perp( Z, T, X, Y ), ! cong( Z, X, Z, Y )
% 37.43/37.80 , coll( Y, X, skol4( X, Y, Z, T ) ) }.
% 37.43/37.80 (81054) {G0,W22,D3,L3,V6,M3} { ! eqangle( X, Z, Y, Z, X, T, Y, U ), coll(
% 37.43/37.80 X, Y, Z ), cyclic( T, Y, Z, skol5( W, Y, Z, T ) ) }.
% 37.43/37.80 (81055) {G0,W30,D3,L3,V5,M3} { ! eqangle( X, Z, Y, Z, X, T, Y, U ), coll(
% 37.43/37.80 X, Y, Z ), eqangle( X, Z, Y, Z, X, skol5( X, Y, Z, T ), Y, skol5( X, Y, Z
% 37.43/37.80 , T ) ) }.
% 37.43/37.80 (81056) {G0,W18,D3,L3,V10,M3} { ! midp( U, X, Y ), ! midp( W, Z, T ), midp
% 37.43/37.80 ( skol6( X, V0, V1, T, V2, V3 ), X, T ) }.
% 37.43/37.80 (81057) {G0,W19,D3,L3,V8,M3} { ! midp( U, X, Y ), ! midp( W, Z, T ), para
% 37.43/37.80 ( skol6( X, V0, Z, T, V1, W ), W, X, Z ) }.
% 37.43/37.80 (81058) {G0,W19,D3,L3,V6,M3} { ! midp( U, X, Y ), ! midp( W, Z, T ), para
% 37.43/37.80 ( skol6( X, Y, Z, T, U, W ), U, Y, T ) }.
% 37.43/37.80 (81059) {G0,W22,D3,L5,V7,M5} { ! midp( Z, X, Y ), ! midp( W, T, U ), !
% 37.43/37.80 coll( T, X, Y ), ! coll( U, X, Y ), midp( skol7( X, V0 ), X, V0 ) }.
% 37.43/37.80 (81060) {G0,W26,D3,L5,V8,M5} { ! midp( T, X, U ), ! para( X, W, Z, T ), !
% 37.43/37.80 para( X, W, U, Y ), ! coll( W, Y, Z ), coll( skol8( V0, V1, Z, T ), T, Z
% 37.43/37.80 ) }.
% 37.43/37.80 (81061) {G0,W26,D3,L5,V6,M5} { ! midp( T, X, U ), ! para( X, W, Z, T ), !
% 37.43/37.80 para( X, W, U, Y ), ! coll( W, Y, Z ), coll( skol8( X, Y, Z, T ), X, Y )
% 37.43/37.80 }.
% 37.43/37.80 (81062) {G0,W19,D3,L3,V7,M3} { ! cong( T, Z, T, U ), ! perp( X, Y, Y, T )
% 37.43/37.80 , cong( T, Z, T, skol9( W, V0, Z, T ) ) }.
% 37.43/37.80 (81063) {G0,W19,D3,L3,V6,M3} { ! cong( T, Z, T, U ), ! perp( X, Y, Y, T )
% 37.43/37.80 , cong( Y, Z, Y, skol9( W, Y, Z, T ) ) }.
% 37.43/37.80 (81064) {G0,W19,D3,L3,V5,M3} { ! cong( T, Z, T, U ), ! perp( X, Y, Y, T )
% 37.43/37.80 , para( skol9( X, Y, Z, T ), Z, X, Y ) }.
% 37.43/37.80 (81065) {G0,W17,D3,L3,V5,M3} { ! perp( X, T, Y, Z ), ! perp( Y, T, X, Z )
% 37.43/37.80 , coll( skol10( U, Y, Z ), Z, Y ) }.
% 37.43/37.80 (81066) {G0,W18,D3,L3,V4,M3} { ! perp( X, T, Y, Z ), ! perp( Y, T, X, Z )
% 37.43/37.80 , perp( X, skol10( X, Y, Z ), Z, Y ) }.
% 37.43/37.80 (81067) {G0,W14,D2,L3,V4,M3} { ! perp( X, T, Y, Z ), ! perp( Y, T, X, Z )
% 37.43/37.80 , alpha1( X, Y, Z ) }.
% 37.43/37.80 (81068) {G0,W11,D3,L2,V4,M2} { ! alpha1( X, Y, Z ), coll( skol11( X, T, Z
% 37.43/37.80 ), Z, X ) }.
% 37.43/37.80 (81069) {G0,W12,D3,L2,V3,M2} { ! alpha1( X, Y, Z ), perp( Y, skol11( X, Y
% 37.43/37.80 , Z ), Z, X ) }.
% 37.43/37.80 (81070) {G0,W13,D2,L3,V4,M3} { ! coll( T, Z, X ), ! perp( Y, T, Z, X ),
% 37.43/37.80 alpha1( X, Y, Z ) }.
% 37.43/37.80 (81071) {G0,W12,D3,L2,V4,M2} { ! circle( Y, X, Z, T ), perp( skol12( X, Y
% 37.43/37.80 ), X, X, Y ) }.
% 37.43/37.80 (81072) {G0,W28,D3,L5,V8,M5} { ! circle( W, X, Y, Z ), ! cong( W, X, W, T
% 37.43/37.80 ), ! cong( U, X, U, Y ), W = U, alpha2( X, Z, U, skol13( X, V0, Z, V1, U
% 37.43/37.80 ) ) }.
% 37.43/37.80 (81073) {G0,W26,D3,L5,V8,M5} { ! circle( W, X, Y, Z ), ! cong( W, X, W, T
% 37.43/37.80 ), ! cong( U, X, U, Y ), W = U, coll( skol21( V0, Y, T, V1 ), Y, T ) }.
% 37.43/37.80 (81074) {G0,W27,D3,L5,V6,M5} { ! circle( W, X, Y, Z ), ! cong( W, X, W, T
% 37.43/37.80 ), ! cong( U, X, U, Y ), W = U, cong( skol21( X, Y, T, U ), U, U, X )
% 37.43/37.80 }.
% 37.43/37.80 (81075) {G0,W9,D2,L2,V4,M2} { ! alpha2( X, Y, Z, T ), coll( T, X, Y ) }.
% 37.43/37.80 (81076) {G0,W10,D2,L2,V4,M2} { ! alpha2( X, Y, Z, T ), cong( T, Z, Z, X )
% 37.43/37.80 }.
% 37.43/37.80 (81077) {G0,W14,D2,L3,V4,M3} { ! coll( T, X, Y ), ! cong( T, Z, Z, X ),
% 37.43/37.80 alpha2( X, Y, Z, T ) }.
% 37.43/37.80 (81078) {G0,W22,D3,L4,V5,M4} { ! cyclic( X, Y, Z, T ), ! para( X, Y, Z, T
% 37.43/37.80 ), ! midp( U, X, Y ), circle( skol14( X, Y, Z ), X, Y, Z ) }.
% 37.43/37.80 (81079) {G0,W18,D3,L3,V4,M3} { ! perp( X, Z, Z, Y ), ! cyclic( X, Y, Z, T
% 37.43/37.80 ), circle( skol15( X, Y, Z ), X, Y, Z ) }.
% 37.43/37.80 (81080) {G0,W16,D3,L3,V6,M3} { ! perp( X, U, U, T ), ! coll( T, Y, Z ),
% 37.43/37.80 coll( skol16( W, Y, Z ), Y, Z ) }.
% 37.43/37.80 (81081) {G0,W17,D3,L3,V5,M3} { ! perp( X, U, U, T ), ! coll( T, Y, Z ),
% 37.43/37.80 perp( skol16( X, Y, Z ), X, Y, Z ) }.
% 37.43/37.80 (81082) {G0,W20,D3,L4,V5,M4} { ! perp( X, Z, X, Y ), ! perp( Y, X, Y, T )
% 37.43/37.80 , ! midp( U, Z, T ), midp( skol17( X, Y ), X, Y ) }.
% 37.43/37.80 (81083) {G0,W16,D3,L3,V3,M3} { ! cong( Y, X, Y, Z ), ! perp( X, Y, Y, Z )
% 37.43/37.80 , coll( X, Y, skol18( X, Y ) ) }.
% 37.43/37.80 (81084) {G0,W17,D3,L3,V3,M3} { ! cong( Y, X, Y, Z ), ! perp( X, Y, Y, Z )
% 37.43/37.80 , cong( Y, X, Y, skol18( X, Y ) ) }.
% 37.43/37.80 (81085) {G0,W25,D3,L5,V8,M5} { ! para( U, W, X, Y ), ! coll( Z, U, X ), !
% 37.43/37.80 coll( Z, W, Y ), ! coll( T, U, W ), coll( Z, T, skol19( V0, V1, Z, T ) )
% 37.43/37.80 }.
% 37.43/37.80 (81086) {G0,W25,D3,L5,V6,M5} { ! para( U, W, X, Y ), ! coll( Z, U, X ), !
% 37.43/37.80 coll( Z, W, Y ), ! coll( T, U, W ), coll( skol19( X, Y, Z, T ), X, Y )
% 37.43/37.80 }.
% 37.43/37.80 (81087) {G0,W4,D2,L1,V0,M1} { midp( skol25, skol22, skol20 ) }.
% 37.43/37.80 (81088) {G0,W9,D2,L1,V0,M1} { eqangle( skol23, skol25, skol25, skol20,
% 37.43/37.80 skol23, skol25, skol25, skol26 ) }.
% 37.43/37.80 (81089) {G0,W9,D2,L1,V0,M1} { eqangle( skol24, skol25, skol25, skol22,
% 37.43/37.80 skol24, skol25, skol25, skol26 ) }.
% 37.43/37.80 (81090) {G0,W5,D2,L1,V0,M1} { ! para( skol23, skol24, skol20, skol22 ) }.
% 37.43/37.80
% 37.43/37.80
% 37.43/37.80 Total Proof:
% 37.43/37.80
% 37.43/37.80 subsumption: (0) {G0,W8,D2,L2,V3,M2} I { ! coll( X, Y, Z ), coll( X, Z, Y )
% 37.43/37.80 }.
% 37.43/37.80 parent0: (80970) {G0,W8,D2,L2,V3,M2} { ! coll( X, Y, Z ), coll( X, Z, Y )
% 37.43/37.80 }.
% 37.43/37.80 substitution0:
% 37.43/37.80 X := X
% 37.43/37.80 Y := Y
% 37.43/37.80 Z := Z
% 37.43/37.80 end
% 37.43/37.80 permutation0:
% 37.43/37.80 0 ==> 0
% 37.43/37.80 1 ==> 1
% 37.43/37.80 end
% 37.43/37.80
% 37.43/37.80 subsumption: (1) {G0,W8,D2,L2,V3,M2} I { ! coll( X, Y, Z ), coll( Y, X, Z )
% 37.43/37.80 }.
% 37.43/37.80 parent0: (80971) {G0,W8,D2,L2,V3,M2} { ! coll( X, Y, Z ), coll( Y, X, Z )
% 37.43/37.80 }.
% 37.43/37.80 substitution0:
% 37.43/37.80 X := X
% 37.43/37.80 Y := Y
% 37.43/37.80 Z := Z
% 37.43/37.80 end
% 37.43/37.80 permutation0:
% 37.43/37.80 0 ==> 0
% 37.43/37.80 1 ==> 1
% 37.43/37.80 end
% 37.43/37.80
% 37.43/37.80 subsumption: (2) {G0,W12,D2,L3,V4,M3} I { ! coll( X, T, Y ), ! coll( X, T,
% 37.43/37.80 Z ), coll( Y, Z, X ) }.
% 37.43/37.80 parent0: (80972) {G0,W12,D2,L3,V4,M3} { ! coll( X, T, Y ), ! coll( X, T, Z
% 37.43/37.80 ), coll( Y, Z, X ) }.
% 37.43/37.80 substitution0:
% 37.43/37.80 X := X
% 37.43/37.80 Y := Y
% 37.43/37.80 Z := Z
% 37.43/37.80 T := T
% 37.43/37.80 end
% 37.43/37.80 permutation0:
% 37.43/37.80 0 ==> 0
% 37.43/37.80 1 ==> 1
% 37.43/37.80 2 ==> 2
% 37.43/37.80 end
% 37.43/37.80
% 37.43/37.80 subsumption: (3) {G0,W10,D2,L2,V4,M2} I { ! para( X, Y, Z, T ), para( X, Y
% 37.43/37.80 , T, Z ) }.
% 37.43/37.80 parent0: (80973) {G0,W10,D2,L2,V4,M2} { ! para( X, Y, Z, T ), para( X, Y,
% 37.43/37.80 T, Z ) }.
% 37.43/37.80 substitution0:
% 37.43/37.80 X := X
% 37.43/37.80 Y := Y
% 37.43/37.80 Z := Z
% 37.43/37.80 T := T
% 37.43/37.80 end
% 37.43/37.80 permutation0:
% 37.43/37.80 0 ==> 0
% 37.43/37.80 1 ==> 1
% 37.43/37.80 end
% 37.43/37.80
% 37.43/37.80 subsumption: (4) {G0,W10,D2,L2,V4,M2} I { ! para( X, Y, Z, T ), para( Z, T
% 37.43/37.80 , X, Y ) }.
% 37.43/37.80 parent0: (80974) {G0,W10,D2,L2,V4,M2} { ! para( X, Y, Z, T ), para( Z, T,
% 37.43/37.80 X, Y ) }.
% 37.43/37.80 substitution0:
% 37.43/37.80 X := X
% 37.43/37.80 Y := Y
% 37.43/37.80 Z := Z
% 37.43/37.80 T := T
% 37.43/37.80 end
% 37.43/37.80 permutation0:
% 37.43/37.80 0 ==> 0
% 37.43/37.80 1 ==> 1
% 37.43/37.80 end
% 37.43/37.80
% 37.43/37.80 subsumption: (6) {G0,W10,D2,L2,V4,M2} I { ! perp( X, Y, Z, T ), perp( X, Y
% 37.43/37.80 , T, Z ) }.
% 37.43/37.80 parent0: (80976) {G0,W10,D2,L2,V4,M2} { ! perp( X, Y, Z, T ), perp( X, Y,
% 37.43/37.80 T, Z ) }.
% 37.43/37.80 substitution0:
% 37.43/37.80 X := X
% 37.43/37.80 Y := Y
% 37.43/37.80 Z := Z
% 37.43/37.80 T := T
% 37.43/37.80 end
% 37.43/37.80 permutation0:
% 37.43/37.80 0 ==> 0
% 37.43/37.80 1 ==> 1
% 37.43/37.80 end
% 37.43/37.80
% 37.43/37.80 subsumption: (7) {G0,W10,D2,L2,V4,M2} I { ! perp( X, Y, Z, T ), perp( Z, T
% 37.43/37.80 , X, Y ) }.
% 37.43/37.80 parent0: (80977) {G0,W10,D2,L2,V4,M2} { ! perp( X, Y, Z, T ), perp( Z, T,
% 37.43/37.80 X, Y ) }.
% 37.43/37.80 substitution0:
% 37.43/37.80 X := X
% 37.43/37.80 Y := Y
% 37.43/37.80 Z := Z
% 37.43/37.80 T := T
% 37.43/37.80 end
% 37.43/37.80 permutation0:
% 37.43/37.80 0 ==> 0
% 37.43/37.80 1 ==> 1
% 37.43/37.80 end
% 37.43/37.80
% 37.43/37.80 subsumption: (8) {G0,W15,D2,L3,V6,M3} I { ! perp( X, Y, U, W ), ! perp( U,
% 37.43/37.80 W, Z, T ), para( X, Y, Z, T ) }.
% 37.43/37.80 parent0: (80978) {G0,W15,D2,L3,V6,M3} { ! perp( X, Y, U, W ), ! perp( U, W
% 37.43/37.80 , Z, T ), para( X, Y, Z, T ) }.
% 37.43/37.80 substitution0:
% 37.43/37.80 X := X
% 37.43/37.80 Y := Y
% 37.43/37.80 Z := Z
% 37.43/37.80 T := T
% 37.43/37.80 U := U
% 37.43/37.80 W := W
% 37.43/37.80 end
% 37.43/37.80 permutation0:
% 37.43/37.80 0 ==> 0
% 37.43/37.80 1 ==> 1
% 37.43/37.80 2 ==> 2
% 37.43/37.80 end
% 37.43/37.80
% 37.43/37.80 subsumption: (10) {G0,W8,D2,L2,V3,M2} I { ! midp( Z, Y, X ), midp( Z, X, Y
% 37.43/37.80 ) }.
% 37.43/37.80 parent0: (80980) {G0,W8,D2,L2,V3,M2} { ! midp( Z, Y, X ), midp( Z, X, Y )
% 37.43/37.80 }.
% 37.43/37.80 substitution0:
% 37.43/37.80 X := X
% 37.43/37.80 Y := Y
% 37.43/37.80 Z := Z
% 37.43/37.80 end
% 37.43/37.80 permutation0:
% 37.43/37.80 0 ==> 0
% 37.43/37.80 1 ==> 1
% 37.43/37.80 end
% 37.43/37.80
% 37.43/37.80 subsumption: (11) {G0,W15,D2,L3,V4,M3} I { ! cong( T, X, T, Y ), ! cong( T
% 37.43/37.80 , X, T, Z ), circle( T, X, Y, Z ) }.
% 37.43/37.80 parent0: (80981) {G0,W15,D2,L3,V4,M3} { ! cong( T, X, T, Y ), ! cong( T, X
% 37.43/37.80 , T, Z ), circle( T, X, Y, Z ) }.
% 37.43/37.80 substitution0:
% 37.43/37.80 X := X
% 37.43/37.80 Y := Y
% 37.43/37.80 Z := Z
% 37.43/37.80 T := T
% 37.43/37.80 end
% 37.43/37.80 permutation0:
% 37.43/37.80 0 ==> 0
% 37.43/37.80 1 ==> 1
% 37.43/37.80 2 ==> 2
% 37.43/37.80 end
% 37.43/37.80
% 37.43/37.80 subsumption: (13) {G0,W10,D2,L2,V4,M2} I { ! cyclic( X, Y, Z, T ), cyclic(
% 37.43/37.80 X, Y, T, Z ) }.
% 37.43/37.80 parent0: (80983) {G0,W10,D2,L2,V4,M2} { ! cyclic( X, Y, Z, T ), cyclic( X
% 37.43/37.80 , Y, T, Z ) }.
% 37.43/37.80 substitution0:
% 37.43/37.80 X := X
% 37.43/37.80 Y := Y
% 37.43/37.80 Z := Z
% 37.43/37.80 T := T
% 37.43/37.80 end
% 37.43/37.80 permutation0:
% 37.43/37.80 0 ==> 0
% 37.43/37.80 1 ==> 1
% 37.43/37.80 end
% 37.43/37.80
% 37.43/37.80 subsumption: (14) {G0,W10,D2,L2,V4,M2} I { ! cyclic( X, Y, Z, T ), cyclic(
% 37.43/37.80 X, Z, Y, T ) }.
% 37.43/37.80 parent0: (80984) {G0,W10,D2,L2,V4,M2} { ! cyclic( X, Y, Z, T ), cyclic( X
% 37.43/37.80 , Z, Y, T ) }.
% 37.43/37.80 substitution0:
% 37.43/37.80 X := X
% 37.43/37.80 Y := Y
% 37.43/37.80 Z := Z
% 37.43/37.80 T := T
% 37.43/37.80 end
% 37.43/37.80 permutation0:
% 37.43/37.80 0 ==> 0
% 37.43/37.80 1 ==> 1
% 37.43/37.80 end
% 37.43/37.80
% 37.43/37.80 subsumption: (15) {G0,W10,D2,L2,V4,M2} I { ! cyclic( X, Y, Z, T ), cyclic(
% 37.43/37.80 Y, X, Z, T ) }.
% 37.43/37.80 parent0: (80985) {G0,W10,D2,L2,V4,M2} { ! cyclic( X, Y, Z, T ), cyclic( Y
% 37.43/37.80 , X, Z, T ) }.
% 37.43/37.80 substitution0:
% 37.43/37.80 X := X
% 37.43/37.80 Y := Y
% 37.43/37.80 Z := Z
% 37.43/37.80 T := T
% 37.43/37.80 end
% 37.43/37.80 permutation0:
% 37.43/37.80 0 ==> 0
% 37.43/37.80 1 ==> 1
% 37.43/37.80 end
% 37.43/37.80
% 37.43/37.80 subsumption: (16) {G0,W15,D2,L3,V5,M3} I { ! cyclic( U, X, Y, Z ), ! cyclic
% 37.43/37.80 ( U, X, Y, T ), cyclic( X, Y, Z, T ) }.
% 37.43/37.80 parent0: (80986) {G0,W15,D2,L3,V5,M3} { ! cyclic( U, X, Y, Z ), ! cyclic(
% 37.43/37.80 U, X, Y, T ), cyclic( X, Y, Z, T ) }.
% 37.43/37.80 substitution0:
% 37.43/37.80 X := X
% 37.43/37.80 Y := Y
% 37.43/37.80 Z := Z
% 37.43/37.80 T := T
% 37.43/37.80 U := U
% 37.43/37.80 end
% 37.43/37.80 permutation0:
% 37.43/37.80 0 ==> 0
% 37.43/37.80 1 ==> 1
% 37.43/37.80 2 ==> 2
% 37.43/37.80 end
% 37.43/37.80
% 37.43/37.80 subsumption: (24) {G0,W15,D2,L3,V6,M3} I { ! cong( X, Y, U, W ), ! cong( U
% 37.43/37.80 , W, Z, T ), cong( X, Y, Z, T ) }.
% 37.43/37.80 parent0: (80994) {G0,W15,D2,L3,V6,M3} { ! cong( X, Y, U, W ), ! cong( U, W
% 37.43/37.80 , Z, T ), cong( X, Y, Z, T ) }.
% 37.43/37.80 substitution0:
% 37.43/37.80 X := X
% 37.43/37.80 Y := Y
% 37.43/37.80 Z := Z
% 37.43/37.80 T := T
% 37.43/37.80 U := U
% 37.43/37.80 W := W
% 37.43/37.80 end
% 37.43/37.80 permutation0:
% 37.43/37.80 0 ==> 0
% 37.43/37.80 1 ==> 1
% 37.43/37.80 2 ==> 2
% 37.43/37.80 end
% 37.43/37.80
% 37.43/37.80 subsumption: (39) {G0,W14,D2,L2,V6,M2} I { ! para( X, Y, Z, T ), eqangle( X
% 37.43/37.80 , Y, U, W, Z, T, U, W ) }.
% 37.43/37.80 parent0: (81009) {G0,W14,D2,L2,V6,M2} { ! para( X, Y, Z, T ), eqangle( X,
% 37.43/37.80 Y, U, W, Z, T, U, W ) }.
% 37.43/37.80 substitution0:
% 37.43/37.80 X := X
% 37.43/37.80 Y := Y
% 37.43/37.80 Z := Z
% 37.43/37.80 T := T
% 37.43/37.80 U := U
% 37.43/37.80 W := W
% 37.43/37.80 end
% 37.43/37.80 permutation0:
% 37.43/37.80 0 ==> 0
% 37.43/37.80 1 ==> 1
% 37.43/37.80 end
% 37.43/37.80
% 37.43/37.80 subsumption: (40) {G0,W14,D2,L2,V4,M2} I { ! cyclic( X, Y, Z, T ), eqangle
% 37.43/37.80 ( Z, X, Z, Y, T, X, T, Y ) }.
% 37.43/37.80 parent0: (81010) {G0,W14,D2,L2,V4,M2} { ! cyclic( X, Y, Z, T ), eqangle( Z
% 37.43/37.80 , X, Z, Y, T, X, T, Y ) }.
% 37.43/37.80 substitution0:
% 37.43/37.80 X := X
% 37.43/37.80 Y := Y
% 37.43/37.80 Z := Z
% 37.43/37.80 T := T
% 37.43/37.80 end
% 37.43/37.80 permutation0:
% 37.43/37.80 0 ==> 0
% 37.43/37.80 1 ==> 1
% 37.43/37.80 end
% 37.43/37.80
% 37.43/37.80 subsumption: (42) {G0,W18,D2,L3,V4,M3} I { ! eqangle( Z, X, Z, Y, T, X, T,
% 37.43/37.80 Y ), ! coll( Z, T, Y ), cyclic( X, Y, Z, T ) }.
% 37.43/37.80 parent0: (81012) {G0,W18,D2,L3,V4,M3} { ! eqangle( Z, X, Z, Y, T, X, T, Y
% 37.43/37.80 ), ! coll( Z, T, Y ), cyclic( X, Y, Z, T ) }.
% 37.43/37.80 substitution0:
% 37.43/37.80 X := X
% 37.43/37.80 Y := Y
% 37.43/37.80 Z := Z
% 37.43/37.80 T := T
% 37.43/37.80 end
% 37.43/37.80 permutation0:
% 37.43/37.80 0 ==> 0
% 37.43/37.80 1 ==> 1
% 37.43/37.80 2 ==> 2
% 37.43/37.80 end
% 37.43/37.80
% 37.43/37.80 subsumption: (43) {G0,W29,D2,L5,V6,M5} I { ! cyclic( X, Y, U, Z ), ! cyclic
% 37.43/37.80 ( X, Y, U, T ), ! cyclic( X, Y, U, W ), ! eqangle( U, X, U, Y, W, Z, W, T
% 37.43/37.80 ), cong( X, Y, Z, T ) }.
% 37.43/37.80 parent0: (81013) {G0,W29,D2,L5,V6,M5} { ! cyclic( X, Y, U, Z ), ! cyclic(
% 37.43/37.80 X, Y, U, T ), ! cyclic( X, Y, U, W ), ! eqangle( U, X, U, Y, W, Z, W, T )
% 37.43/37.80 , cong( X, Y, Z, T ) }.
% 37.43/37.80 substitution0:
% 37.43/37.80 X := X
% 37.43/37.80 Y := Y
% 37.43/37.80 Z := Z
% 37.43/37.80 T := T
% 37.43/37.80 U := U
% 37.43/37.80 W := W
% 37.43/37.80 end
% 37.43/37.80 permutation0:
% 37.43/37.80 0 ==> 0
% 37.43/37.80 1 ==> 1
% 37.43/37.80 2 ==> 2
% 37.43/37.80 3 ==> 3
% 37.43/37.80 4 ==> 4
% 37.43/37.80 end
% 37.43/37.80
% 37.43/37.80 subsumption: (53) {G0,W14,D2,L3,V4,M3} I { ! circle( T, X, Y, Z ), ! coll(
% 37.43/37.80 T, X, Z ), perp( X, Y, Y, Z ) }.
% 37.43/37.80 parent0: (81023) {G0,W14,D2,L3,V4,M3} { ! circle( T, X, Y, Z ), ! coll( T
% 37.43/37.80 , X, Z ), perp( X, Y, Y, Z ) }.
% 37.43/37.80 substitution0:
% 37.43/37.80 X := X
% 37.43/37.80 Y := Y
% 37.43/37.80 Z := Z
% 37.43/37.80 T := T
% 37.43/37.80 end
% 37.43/37.80 permutation0:
% 37.43/37.80 0 ==> 0
% 37.43/37.80 1 ==> 1
% 37.43/37.80 2 ==> 2
% 37.43/37.80 end
% 37.43/37.80
% 37.43/37.80 subsumption: (57) {G0,W20,D2,L4,V4,M4} I { ! cong( X, Y, T, Y ), ! cong( X
% 37.43/37.80 , Z, T, Z ), ! cyclic( X, T, Y, Z ), perp( Y, X, X, Z ) }.
% 37.43/37.80 parent0: (81027) {G0,W20,D2,L4,V4,M4} { ! cong( X, Y, T, Y ), ! cong( X, Z
% 37.43/37.80 , T, Z ), ! cyclic( X, T, Y, Z ), perp( Y, X, X, Z ) }.
% 37.43/37.80 substitution0:
% 37.43/37.80 X := X
% 37.43/37.80 Y := Y
% 37.43/37.80 Z := Z
% 37.43/37.80 T := T
% 37.43/37.80 end
% 37.43/37.80 permutation0:
% 37.43/37.80 0 ==> 0
% 37.43/37.80 1 ==> 1
% 37.43/37.80 2 ==> 2
% 37.43/37.80 3 ==> 3
% 37.43/37.80 end
% 37.43/37.80
% 37.43/37.80 subsumption: (63) {G0,W13,D2,L3,V5,M3} I { ! midp( U, X, Y ), ! midp( U, Z
% 37.43/37.80 , T ), para( X, Z, Y, T ) }.
% 37.43/37.80 parent0: (81033) {G0,W13,D2,L3,V5,M3} { ! midp( U, X, Y ), ! midp( U, Z, T
% 37.43/37.80 ), para( X, Z, Y, T ) }.
% 37.43/37.80 substitution0:
% 37.43/37.80 X := X
% 37.43/37.80 Y := Y
% 37.43/37.80 Z := Z
% 37.43/37.80 T := T
% 37.43/37.80 U := U
% 37.43/37.80 end
% 37.43/37.80 permutation0:
% 37.43/37.80 0 ==> 0
% 37.43/37.80 1 ==> 1
% 37.43/37.80 2 ==> 2
% 37.43/37.80 end
% 37.43/37.80
% 37.43/37.80 subsumption: (68) {G0,W9,D2,L2,V3,M2} I { ! midp( X, Y, Z ), cong( X, Y, X
% 37.43/37.80 , Z ) }.
% 37.43/37.80 parent0: (81038) {G0,W9,D2,L2,V3,M2} { ! midp( X, Y, Z ), cong( X, Y, X, Z
% 37.43/37.80 ) }.
% 37.43/37.80 substitution0:
% 37.43/37.80 X := X
% 37.43/37.80 Y := Y
% 37.43/37.80 Z := Z
% 37.43/37.80 end
% 37.43/37.80 permutation0:
% 37.43/37.80 0 ==> 0
% 37.43/37.80 1 ==> 1
% 37.43/37.80 end
% 37.43/37.80
% 37.43/37.80 subsumption: (69) {G0,W8,D2,L2,V3,M2} I { ! midp( X, Y, Z ), coll( X, Y, Z
% 37.43/37.80 ) }.
% 37.43/37.80 parent0: (81039) {G0,W8,D2,L2,V3,M2} { ! midp( X, Y, Z ), coll( X, Y, Z )
% 37.43/37.80 }.
% 37.43/37.80 substitution0:
% 37.43/37.80 X := X
% 37.43/37.80 Y := Y
% 37.43/37.80 Z := Z
% 37.43/37.80 end
% 37.43/37.80 permutation0:
% 37.43/37.80 0 ==> 0
% 37.43/37.80 1 ==> 1
% 37.43/37.80 end
% 37.43/37.80
% 37.43/37.80 subsumption: (88) {G0,W22,D3,L5,V7,M5} I { ! midp( Z, X, Y ), ! midp( W, T
% 37.43/37.80 , U ), ! coll( T, X, Y ), ! coll( U, X, Y ), midp( skol7( X, V0 ), X, V0
% 37.43/37.80 ) }.
% 37.43/37.80 parent0: (81059) {G0,W22,D3,L5,V7,M5} { ! midp( Z, X, Y ), ! midp( W, T, U
% 37.43/37.80 ), ! coll( T, X, Y ), ! coll( U, X, Y ), midp( skol7( X, V0 ), X, V0 )
% 37.43/37.80 }.
% 37.43/37.80 substitution0:
% 37.43/37.80 X := X
% 37.43/37.80 Y := Y
% 37.43/37.80 Z := Z
% 37.43/37.80 T := T
% 37.43/37.80 U := U
% 37.43/37.80 W := W
% 37.43/37.80 V0 := V0
% 37.43/37.80 end
% 37.43/37.80 permutation0:
% 37.43/37.80 0 ==> 0
% 37.43/37.80 1 ==> 1
% 37.43/37.80 2 ==> 2
% 37.43/37.80 3 ==> 3
% 37.43/37.80 4 ==> 4
% 37.43/37.80 end
% 37.43/37.80
% 37.43/37.80 subsumption: (110) {G0,W17,D3,L3,V5,M3} I { ! perp( X, U, U, T ), ! coll( T
% 37.43/37.80 , Y, Z ), perp( skol16( X, Y, Z ), X, Y, Z ) }.
% 37.43/37.80 parent0: (81081) {G0,W17,D3,L3,V5,M3} { ! perp( X, U, U, T ), ! coll( T, Y
% 37.43/37.80 , Z ), perp( skol16( X, Y, Z ), X, Y, Z ) }.
% 37.43/37.80 substitution0:
% 37.43/37.80 X := X
% 37.43/37.80 Y := Y
% 37.43/37.80 Z := Z
% 37.43/37.80 T := T
% 37.43/37.80 U := U
% 37.43/37.80 end
% 37.43/37.80 permutation0:
% 37.43/37.80 0 ==> 0
% 37.43/37.80 1 ==> 1
% 37.43/37.80 2 ==> 2
% 37.43/37.80 end
% 37.43/37.80
% 37.43/37.80 subsumption: (116) {G0,W4,D2,L1,V0,M1} I { midp( skol25, skol22, skol20 )
% 37.43/37.80 }.
% 37.43/37.80 parent0: (81087) {G0,W4,D2,L1,V0,M1} { midp( skol25, skol22, skol20 ) }.
% 37.43/37.80 substitution0:
% 37.43/37.80 end
% 37.43/37.80 permutation0:
% 37.43/37.80 0 ==> 0
% 37.43/37.80 end
% 37.43/37.80
% 37.43/37.80 subsumption: (119) {G0,W5,D2,L1,V0,M1} I { ! para( skol23, skol24, skol20,
% 37.43/37.80 skol22 ) }.
% 37.43/37.80 parent0: (81090) {G0,W5,D2,L1,V0,M1} { ! para( skol23, skol24, skol20,
% 37.43/37.80 skol22 ) }.
% 37.43/37.80 substitution0:
% 37.43/37.80 end
% 37.43/37.80 permutation0:
% 37.43/37.80 0 ==> 0
% 37.43/37.80 end
% 37.43/37.80
% 37.43/37.80 factor: (81504) {G0,W8,D2,L2,V3,M2} { ! coll( X, Y, Z ), coll( Z, Z, X )
% 37.43/37.80 }.
% 37.43/37.80 parent0[0, 1]: (2) {G0,W12,D2,L3,V4,M3} I { ! coll( X, T, Y ), ! coll( X, T
% 37.43/37.80 , Z ), coll( Y, Z, X ) }.
% 37.43/37.80 substitution0:
% 37.43/37.80 X := X
% 37.43/37.80 Y := Z
% 37.43/37.80 Z := Z
% 37.43/37.80 T := Y
% 37.43/37.80 end
% 37.43/37.80
% 37.43/37.80 subsumption: (120) {G1,W8,D2,L2,V3,M2} F(2) { ! coll( X, Y, Z ), coll( Z, Z
% 37.43/37.80 , X ) }.
% 37.43/37.80 parent0: (81504) {G0,W8,D2,L2,V3,M2} { ! coll( X, Y, Z ), coll( Z, Z, X )
% 37.43/37.80 }.
% 37.43/37.80 substitution0:
% 37.43/37.80 X := X
% 37.43/37.80 Y := Y
% 37.43/37.80 Z := Z
% 37.43/37.80 end
% 37.43/37.80 permutation0:
% 37.43/37.80 0 ==> 0
% 37.43/37.80 1 ==> 1
% 37.43/37.80 end
% 37.43/37.80
% 37.43/37.80 factor: (81505) {G0,W10,D2,L2,V3,M2} { ! cong( X, Y, X, Z ), circle( X, Y
% 37.43/37.80 , Z, Z ) }.
% 37.43/37.80 parent0[0, 1]: (11) {G0,W15,D2,L3,V4,M3} I { ! cong( T, X, T, Y ), ! cong(
% 37.43/37.80 T, X, T, Z ), circle( T, X, Y, Z ) }.
% 37.43/37.80 substitution0:
% 37.43/37.80 X := Y
% 37.43/37.80 Y := Z
% 37.43/37.80 Z := Z
% 37.43/37.80 T := X
% 37.43/37.80 end
% 37.43/37.80
% 37.43/37.80 subsumption: (122) {G1,W10,D2,L2,V3,M2} F(11) { ! cong( X, Y, X, Z ),
% 37.43/37.80 circle( X, Y, Z, Z ) }.
% 37.43/37.80 parent0: (81505) {G0,W10,D2,L2,V3,M2} { ! cong( X, Y, X, Z ), circle( X, Y
% 37.43/37.80 , Z, Z ) }.
% 37.43/37.80 substitution0:
% 37.43/37.80 X := X
% 37.43/37.80 Y := Y
% 37.43/37.80 Z := Z
% 37.43/37.80 end
% 37.43/37.80 permutation0:
% 37.43/37.80 0 ==> 0
% 37.43/37.80 1 ==> 1
% 37.43/37.80 end
% 37.43/37.80
% 37.43/37.80 factor: (81506) {G0,W18,D3,L4,V4,M4} { ! midp( X, Y, Z ), ! coll( Y, Y, Z
% 37.43/37.80 ), ! coll( Z, Y, Z ), midp( skol7( Y, T ), Y, T ) }.
% 37.43/37.80 parent0[0, 1]: (88) {G0,W22,D3,L5,V7,M5} I { ! midp( Z, X, Y ), ! midp( W,
% 37.43/37.80 T, U ), ! coll( T, X, Y ), ! coll( U, X, Y ), midp( skol7( X, V0 ), X, V0
% 37.43/37.80 ) }.
% 37.43/37.80 substitution0:
% 37.43/37.80 X := Y
% 37.43/37.80 Y := Z
% 37.43/37.80 Z := X
% 37.43/37.80 T := Y
% 37.43/37.80 U := Z
% 37.43/37.80 W := X
% 37.43/37.80 V0 := T
% 37.43/37.80 end
% 37.43/37.80
% 37.43/37.80 subsumption: (142) {G1,W18,D3,L4,V4,M4} F(88) { ! midp( X, Y, Z ), ! coll(
% 37.43/37.80 Y, Y, Z ), ! coll( Z, Y, Z ), midp( skol7( Y, T ), Y, T ) }.
% 37.43/37.80 parent0: (81506) {G0,W18,D3,L4,V4,M4} { ! midp( X, Y, Z ), ! coll( Y, Y, Z
% 37.43/37.80 ), ! coll( Z, Y, Z ), midp( skol7( Y, T ), Y, T ) }.
% 37.43/37.80 substitution0:
% 37.43/37.80 X := X
% 37.43/37.80 Y := Y
% 37.43/37.80 Z := Z
% 37.43/37.80 T := T
% 37.43/37.80 end
% 37.43/37.80 permutation0:
% 37.43/37.80 0 ==> 0
% 37.43/37.80 1 ==> 1
% 37.43/37.80 2 ==> 2
% 37.43/37.80 3 ==> 3
% 37.43/37.80 end
% 37.43/37.80
% 37.43/37.80 resolution: (81509) {G1,W4,D2,L1,V0,M1} { coll( skol25, skol22, skol20 )
% 37.43/37.80 }.
% 37.43/37.80 parent0[0]: (69) {G0,W8,D2,L2,V3,M2} I { ! midp( X, Y, Z ), coll( X, Y, Z )
% 37.43/37.80 }.
% 37.43/37.80 parent1[0]: (116) {G0,W4,D2,L1,V0,M1} I { midp( skol25, skol22, skol20 )
% 37.43/37.80 }.
% 37.43/37.80 substitution0:
% 37.43/37.80 X := skol25
% 37.43/37.80 Y := skol22
% 37.43/37.80 Z := skol20
% 37.43/37.80 end
% 37.43/37.80 substitution1:
% 37.43/37.80 end
% 37.43/37.80
% 37.43/37.80 subsumption: (157) {G1,W4,D2,L1,V0,M1} R(69,116) { coll( skol25, skol22,
% 37.43/37.80 skol20 ) }.
% 37.43/37.80 parent0: (81509) {G1,W4,D2,L1,V0,M1} { coll( skol25, skol22, skol20 ) }.
% 37.43/37.80 substitution0:
% 37.43/37.80 end
% 37.43/37.80 permutation0:
% 37.43/37.80 0 ==> 0
% 37.43/37.80 end
% 37.43/37.80
% 37.43/37.80 resolution: (81510) {G1,W8,D2,L2,V3,M2} { coll( X, Y, Z ), ! midp( X, Z, Y
% 37.43/37.80 ) }.
% 37.43/37.80 parent0[0]: (69) {G0,W8,D2,L2,V3,M2} I { ! midp( X, Y, Z ), coll( X, Y, Z )
% 37.43/37.80 }.
% 37.43/37.80 parent1[1]: (10) {G0,W8,D2,L2,V3,M2} I { ! midp( Z, Y, X ), midp( Z, X, Y )
% 37.43/37.80 }.
% 37.43/37.80 substitution0:
% 37.43/37.80 X := X
% 37.43/37.80 Y := Y
% 37.43/37.80 Z := Z
% 37.43/37.80 end
% 37.43/37.80 substitution1:
% 37.43/37.80 X := Y
% 37.43/37.80 Y := Z
% 37.43/37.80 Z := X
% 37.43/37.80 end
% 37.43/37.80
% 37.43/37.80 subsumption: (158) {G1,W8,D2,L2,V3,M2} R(10,69) { ! midp( X, Y, Z ), coll(
% 37.43/37.80 X, Z, Y ) }.
% 37.43/37.80 parent0: (81510) {G1,W8,D2,L2,V3,M2} { coll( X, Y, Z ), ! midp( X, Z, Y )
% 37.43/37.80 }.
% 37.43/37.80 substitution0:
% 37.43/37.80 X := X
% 37.43/37.80 Y := Z
% 37.43/37.80 Z := Y
% 37.43/37.80 end
% 37.43/37.80 permutation0:
% 37.43/37.80 0 ==> 1
% 37.43/37.80 1 ==> 0
% 37.43/37.80 end
% 37.43/37.80
% 37.43/37.80 resolution: (81511) {G1,W4,D2,L1,V0,M1} { midp( skol25, skol20, skol22 )
% 37.43/37.80 }.
% 37.43/37.80 parent0[0]: (10) {G0,W8,D2,L2,V3,M2} I { ! midp( Z, Y, X ), midp( Z, X, Y )
% 37.43/37.80 }.
% 37.43/37.80 parent1[0]: (116) {G0,W4,D2,L1,V0,M1} I { midp( skol25, skol22, skol20 )
% 37.43/37.80 }.
% 37.43/37.80 substitution0:
% 37.43/37.80 X := skol20
% 37.43/37.80 Y := skol22
% 37.43/37.80 Z := skol25
% 37.43/37.80 end
% 37.43/37.80 substitution1:
% 37.43/37.80 end
% 37.43/37.80
% 37.43/37.80 subsumption: (159) {G1,W4,D2,L1,V0,M1} R(10,116) { midp( skol25, skol20,
% 37.43/37.80 skol22 ) }.
% 37.43/37.80 parent0: (81511) {G1,W4,D2,L1,V0,M1} { midp( skol25, skol20, skol22 ) }.
% 37.43/37.80 substitution0:
% 37.43/37.80 end
% 37.43/37.80 permutation0:
% 37.43/37.80 0 ==> 0
% 37.43/37.80 end
% 37.43/37.80
% 37.43/37.80 resolution: (81512) {G1,W4,D2,L1,V0,M1} { coll( skol25, skol20, skol22 )
% 37.43/37.80 }.
% 37.43/37.80 parent0[0]: (0) {G0,W8,D2,L2,V3,M2} I { ! coll( X, Y, Z ), coll( X, Z, Y )
% 37.43/37.80 }.
% 37.43/37.80 parent1[0]: (157) {G1,W4,D2,L1,V0,M1} R(69,116) { coll( skol25, skol22,
% 37.43/37.80 skol20 ) }.
% 37.43/37.80 substitution0:
% 37.43/37.80 X := skol25
% 37.43/37.80 Y := skol22
% 37.43/37.80 Z := skol20
% 37.43/37.80 end
% 37.43/37.80 substitution1:
% 37.43/37.80 end
% 37.43/37.80
% 37.43/37.80 subsumption: (160) {G2,W4,D2,L1,V0,M1} R(0,157) { coll( skol25, skol20,
% 37.43/37.80 skol22 ) }.
% 37.43/37.80 parent0: (81512) {G1,W4,D2,L1,V0,M1} { coll( skol25, skol20, skol22 ) }.
% 37.43/37.80 substitution0:
% 37.43/37.80 end
% 37.43/37.80 permutation0:
% 37.43/37.80 0 ==> 0
% 37.43/37.80 end
% 37.43/37.80
% 37.43/37.80 resolution: (81513) {G1,W8,D2,L2,V3,M2} { coll( Z, Z, X ), ! coll( X, Z, Y
% 37.43/37.80 ) }.
% 37.43/37.80 parent0[0]: (120) {G1,W8,D2,L2,V3,M2} F(2) { ! coll( X, Y, Z ), coll( Z, Z
% 37.43/37.80 , X ) }.
% 37.43/37.80 parent1[1]: (0) {G0,W8,D2,L2,V3,M2} I { ! coll( X, Y, Z ), coll( X, Z, Y )
% 37.43/37.80 }.
% 37.43/37.80 substitution0:
% 37.43/37.80 X := X
% 37.43/37.80 Y := Y
% 37.43/37.80 Z := Z
% 37.43/37.80 end
% 37.43/37.80 substitution1:
% 37.43/37.80 X := X
% 37.43/37.80 Y := Z
% 37.43/37.80 Z := Y
% 37.43/37.80 end
% 37.43/37.80
% 37.43/37.80 subsumption: (164) {G2,W8,D2,L2,V3,M2} R(120,0) { coll( X, X, Y ), ! coll(
% 37.43/37.80 Y, X, Z ) }.
% 37.43/37.80 parent0: (81513) {G1,W8,D2,L2,V3,M2} { coll( Z, Z, X ), ! coll( X, Z, Y )
% 37.43/37.80 }.
% 37.43/37.80 substitution0:
% 37.43/37.80 X := Y
% 37.43/37.80 Y := Z
% 37.43/37.80 Z := X
% 37.43/37.80 end
% 37.43/37.80 permutation0:
% 37.43/37.80 0 ==> 0
% 37.43/37.80 1 ==> 1
% 37.43/37.80 end
% 37.43/37.80
% 37.43/37.80 resolution: (81515) {G1,W8,D2,L2,V3,M2} { coll( X, Y, X ), ! coll( Y, Z, X
% 37.43/37.80 ) }.
% 37.43/37.80 parent0[0]: (0) {G0,W8,D2,L2,V3,M2} I { ! coll( X, Y, Z ), coll( X, Z, Y )
% 37.43/37.80 }.
% 37.43/37.80 parent1[1]: (120) {G1,W8,D2,L2,V3,M2} F(2) { ! coll( X, Y, Z ), coll( Z, Z
% 37.43/37.80 , X ) }.
% 37.43/37.80 substitution0:
% 37.43/37.80 X := X
% 37.43/37.80 Y := X
% 37.43/37.80 Z := Y
% 37.43/37.80 end
% 37.43/37.80 substitution1:
% 37.43/37.80 X := Y
% 37.43/37.80 Y := Z
% 37.43/37.80 Z := X
% 37.43/37.80 end
% 37.43/37.80
% 37.43/37.80 subsumption: (165) {G2,W8,D2,L2,V3,M2} R(120,0) { ! coll( X, Y, Z ), coll(
% 37.43/37.80 Z, X, Z ) }.
% 37.43/37.80 parent0: (81515) {G1,W8,D2,L2,V3,M2} { coll( X, Y, X ), ! coll( Y, Z, X )
% 37.43/37.80 }.
% 37.43/37.80 substitution0:
% 37.43/37.80 X := Z
% 37.43/37.80 Y := X
% 37.43/37.80 Z := Y
% 37.43/37.80 end
% 37.43/37.80 permutation0:
% 37.43/37.80 0 ==> 1
% 37.43/37.80 1 ==> 0
% 37.43/37.80 end
% 37.43/37.80
% 37.43/37.80 resolution: (81516) {G2,W4,D2,L1,V0,M1} { coll( skol20, skol20, skol25 )
% 37.43/37.80 }.
% 37.43/37.80 parent0[0]: (120) {G1,W8,D2,L2,V3,M2} F(2) { ! coll( X, Y, Z ), coll( Z, Z
% 37.43/37.80 , X ) }.
% 37.43/37.80 parent1[0]: (157) {G1,W4,D2,L1,V0,M1} R(69,116) { coll( skol25, skol22,
% 37.43/37.80 skol20 ) }.
% 37.43/37.80 substitution0:
% 37.43/37.80 X := skol25
% 37.43/37.80 Y := skol22
% 37.43/37.80 Z := skol20
% 37.43/37.80 end
% 37.43/37.80 substitution1:
% 37.43/37.80 end
% 37.43/37.80
% 37.43/37.80 subsumption: (166) {G2,W4,D2,L1,V0,M1} R(120,157) { coll( skol20, skol20,
% 37.43/37.80 skol25 ) }.
% 37.43/37.80 parent0: (81516) {G2,W4,D2,L1,V0,M1} { coll( skol20, skol20, skol25 ) }.
% 37.43/37.80 substitution0:
% 37.43/37.80 end
% 37.43/37.80 permutation0:
% 37.43/37.80 0 ==> 0
% 37.43/37.80 end
% 37.43/37.80
% 37.43/37.80 resolution: (81518) {G1,W8,D2,L2,V3,M2} { coll( Z, Z, X ), ! coll( Y, X, Z
% 37.43/37.80 ) }.
% 37.43/37.80 parent0[0]: (120) {G1,W8,D2,L2,V3,M2} F(2) { ! coll( X, Y, Z ), coll( Z, Z
% 37.43/37.80 , X ) }.
% 37.43/37.80 parent1[1]: (1) {G0,W8,D2,L2,V3,M2} I { ! coll( X, Y, Z ), coll( Y, X, Z )
% 37.43/37.80 }.
% 37.43/37.80 substitution0:
% 37.43/37.80 X := X
% 37.43/37.80 Y := Y
% 37.43/37.80 Z := Z
% 37.43/37.80 end
% 37.43/37.80 substitution1:
% 37.43/37.80 X := Y
% 37.43/37.80 Y := X
% 37.43/37.80 Z := Z
% 37.43/37.80 end
% 37.43/37.80
% 37.43/37.80 subsumption: (168) {G2,W8,D2,L2,V3,M2} R(1,120) { ! coll( X, Y, Z ), coll(
% 37.43/37.80 Z, Z, Y ) }.
% 37.43/37.80 parent0: (81518) {G1,W8,D2,L2,V3,M2} { coll( Z, Z, X ), ! coll( Y, X, Z )
% 37.43/37.80 }.
% 37.43/37.80 substitution0:
% 37.43/37.80 X := Y
% 37.43/37.80 Y := X
% 37.43/37.80 Z := Z
% 37.43/37.80 end
% 37.43/37.80 permutation0:
% 37.43/37.80 0 ==> 1
% 37.43/37.80 1 ==> 0
% 37.43/37.80 end
% 37.43/37.80
% 37.43/37.80 resolution: (81519) {G1,W4,D2,L1,V0,M1} { coll( skol20, skol25, skol22 )
% 37.43/37.80 }.
% 37.43/37.80 parent0[0]: (1) {G0,W8,D2,L2,V3,M2} I { ! coll( X, Y, Z ), coll( Y, X, Z )
% 37.43/37.80 }.
% 37.43/37.80 parent1[0]: (160) {G2,W4,D2,L1,V0,M1} R(0,157) { coll( skol25, skol20,
% 37.43/37.80 skol22 ) }.
% 37.43/37.80 substitution0:
% 37.43/37.80 X := skol25
% 37.43/37.80 Y := skol20
% 37.43/37.80 Z := skol22
% 37.43/37.80 end
% 37.43/37.80 substitution1:
% 37.43/37.80 end
% 37.43/37.80
% 37.43/37.80 subsumption: (170) {G3,W4,D2,L1,V0,M1} R(1,160) { coll( skol20, skol25,
% 37.43/37.80 skol22 ) }.
% 37.43/37.80 parent0: (81519) {G1,W4,D2,L1,V0,M1} { coll( skol20, skol25, skol22 ) }.
% 37.43/37.80 substitution0:
% 37.43/37.80 end
% 37.43/37.80 permutation0:
% 37.43/37.80 0 ==> 0
% 37.43/37.80 end
% 37.43/37.80
% 37.43/37.80 resolution: (81521) {G1,W8,D2,L2,V3,M2} { coll( X, Z, Y ), ! coll( Y, X, Z
% 37.43/37.80 ) }.
% 37.43/37.80 parent0[0]: (0) {G0,W8,D2,L2,V3,M2} I { ! coll( X, Y, Z ), coll( X, Z, Y )
% 37.43/37.80 }.
% 37.43/37.80 parent1[1]: (1) {G0,W8,D2,L2,V3,M2} I { ! coll( X, Y, Z ), coll( Y, X, Z )
% 37.43/37.80 }.
% 37.43/37.80 substitution0:
% 37.43/37.80 X := X
% 37.43/37.80 Y := Y
% 37.43/37.80 Z := Z
% 37.43/37.80 end
% 37.43/37.80 substitution1:
% 37.43/37.80 X := Y
% 37.43/37.80 Y := X
% 37.43/37.80 Z := Z
% 37.43/37.80 end
% 37.43/37.80
% 37.43/37.80 subsumption: (172) {G1,W8,D2,L2,V3,M2} R(1,0) { ! coll( X, Y, Z ), coll( Y
% 37.43/37.80 , Z, X ) }.
% 37.43/37.80 parent0: (81521) {G1,W8,D2,L2,V3,M2} { coll( X, Z, Y ), ! coll( Y, X, Z )
% 37.43/37.80 }.
% 37.43/37.80 substitution0:
% 37.43/37.80 X := Y
% 37.43/37.80 Y := X
% 37.43/37.80 Z := Z
% 37.43/37.80 end
% 37.43/37.80 permutation0:
% 37.43/37.80 0 ==> 1
% 37.43/37.80 1 ==> 0
% 37.43/37.80 end
% 37.43/37.80
% 37.43/37.80 resolution: (81522) {G1,W8,D2,L2,V3,M2} { coll( Y, X, Z ), ! midp( X, Y, Z
% 37.43/37.80 ) }.
% 37.43/37.80 parent0[0]: (1) {G0,W8,D2,L2,V3,M2} I { ! coll( X, Y, Z ), coll( Y, X, Z )
% 37.43/37.80 }.
% 37.43/37.80 parent1[1]: (69) {G0,W8,D2,L2,V3,M2} I { ! midp( X, Y, Z ), coll( X, Y, Z )
% 37.43/37.80 }.
% 37.43/37.80 substitution0:
% 37.43/37.80 X := X
% 37.43/37.80 Y := Y
% 37.43/37.80 Z := Z
% 37.43/37.80 end
% 37.43/37.80 substitution1:
% 37.43/37.80 X := X
% 37.43/37.80 Y := Y
% 37.43/37.80 Z := Z
% 37.43/37.80 end
% 37.43/37.80
% 37.43/37.80 subsumption: (174) {G1,W8,D2,L2,V3,M2} R(1,69) { coll( X, Y, Z ), ! midp( Y
% 37.43/37.80 , X, Z ) }.
% 37.43/37.80 parent0: (81522) {G1,W8,D2,L2,V3,M2} { coll( Y, X, Z ), ! midp( X, Y, Z )
% 37.43/37.80 }.
% 37.43/37.80 substitution0:
% 37.43/37.80 X := Y
% 37.43/37.80 Y := X
% 37.43/37.80 Z := Z
% 37.43/37.80 end
% 37.43/37.80 permutation0:
% 37.43/37.80 0 ==> 0
% 37.43/37.80 1 ==> 1
% 37.43/37.80 end
% 37.43/37.80
% 37.43/37.80 resolution: (81523) {G2,W4,D2,L1,V0,M1} { coll( skol22, skol22, skol20 )
% 37.43/37.80 }.
% 37.43/37.80 parent0[0]: (120) {G1,W8,D2,L2,V3,M2} F(2) { ! coll( X, Y, Z ), coll( Z, Z
% 37.43/37.80 , X ) }.
% 37.43/37.80 parent1[0]: (170) {G3,W4,D2,L1,V0,M1} R(1,160) { coll( skol20, skol25,
% 37.43/37.80 skol22 ) }.
% 37.43/37.80 substitution0:
% 37.43/37.80 X := skol20
% 37.43/37.80 Y := skol25
% 37.43/37.80 Z := skol22
% 37.43/37.80 end
% 37.43/37.80 substitution1:
% 37.43/37.80 end
% 37.43/37.80
% 37.43/37.80 subsumption: (175) {G4,W4,D2,L1,V0,M1} R(170,120) { coll( skol22, skol22,
% 37.43/37.80 skol20 ) }.
% 37.43/37.80 parent0: (81523) {G2,W4,D2,L1,V0,M1} { coll( skol22, skol22, skol20 ) }.
% 37.43/37.80 substitution0:
% 37.43/37.80 end
% 37.43/37.80 permutation0:
% 37.43/37.80 0 ==> 0
% 37.43/37.80 end
% 37.43/37.80
% 37.43/37.80 resolution: (81524) {G2,W4,D2,L1,V0,M1} { coll( skol20, skol20, skol22 )
% 37.43/37.80 }.
% 37.43/37.80 parent0[0]: (120) {G1,W8,D2,L2,V3,M2} F(2) { ! coll( X, Y, Z ), coll( Z, Z
% 37.43/37.80 , X ) }.
% 37.43/37.80 parent1[0]: (175) {G4,W4,D2,L1,V0,M1} R(170,120) { coll( skol22, skol22,
% 37.43/37.80 skol20 ) }.
% 37.43/37.80 substitution0:
% 37.43/37.80 X := skol22
% 37.43/37.80 Y := skol22
% 37.43/37.80 Z := skol20
% 37.43/37.80 end
% 37.43/37.80 substitution1:
% 37.43/37.80 end
% 37.43/37.80
% 37.43/37.80 subsumption: (177) {G5,W4,D2,L1,V0,M1} R(175,120) { coll( skol20, skol20,
% 37.43/37.80 skol22 ) }.
% 37.43/37.80 parent0: (81524) {G2,W4,D2,L1,V0,M1} { coll( skol20, skol20, skol22 ) }.
% 37.43/37.80 substitution0:
% 37.43/37.80 end
% 37.43/37.80 permutation0:
% 37.43/37.80 0 ==> 0
% 37.43/37.80 end
% 37.43/37.80
% 37.43/37.80 resolution: (81525) {G1,W4,D2,L1,V0,M1} { coll( skol22, skol20, skol22 )
% 37.43/37.80 }.
% 37.43/37.80 parent0[0]: (0) {G0,W8,D2,L2,V3,M2} I { ! coll( X, Y, Z ), coll( X, Z, Y )
% 37.43/37.80 }.
% 37.43/37.80 parent1[0]: (175) {G4,W4,D2,L1,V0,M1} R(170,120) { coll( skol22, skol22,
% 37.43/37.80 skol20 ) }.
% 37.43/37.80 substitution0:
% 37.43/37.80 X := skol22
% 37.43/37.80 Y := skol22
% 37.43/37.80 Z := skol20
% 37.43/37.80 end
% 37.43/37.80 substitution1:
% 37.43/37.80 end
% 37.43/37.80
% 37.43/37.80 subsumption: (178) {G5,W4,D2,L1,V0,M1} R(175,0) { coll( skol22, skol20,
% 37.43/37.80 skol22 ) }.
% 37.43/37.80 parent0: (81525) {G1,W4,D2,L1,V0,M1} { coll( skol22, skol20, skol22 ) }.
% 37.43/37.80 substitution0:
% 37.43/37.80 end
% 37.43/37.80 permutation0:
% 37.43/37.80 0 ==> 0
% 37.43/37.80 end
% 37.43/37.80
% 37.43/37.80 resolution: (81526) {G1,W4,D2,L1,V0,M1} { coll( skol20, skol22, skol20 )
% 37.43/37.80 }.
% 37.43/37.80 parent0[0]: (0) {G0,W8,D2,L2,V3,M2} I { ! coll( X, Y, Z ), coll( X, Z, Y )
% 37.43/37.80 }.
% 37.43/37.80 parent1[0]: (177) {G5,W4,D2,L1,V0,M1} R(175,120) { coll( skol20, skol20,
% 37.43/37.80 skol22 ) }.
% 37.43/37.80 substitution0:
% 37.43/37.80 X := skol20
% 37.43/37.80 Y := skol20
% 37.43/37.80 Z := skol22
% 37.43/37.80 end
% 37.43/37.80 substitution1:
% 37.43/37.80 end
% 37.43/37.80
% 37.43/37.80 subsumption: (179) {G6,W4,D2,L1,V0,M1} R(177,0) { coll( skol20, skol22,
% 37.43/37.80 skol20 ) }.
% 37.43/37.80 parent0: (81526) {G1,W4,D2,L1,V0,M1} { coll( skol20, skol22, skol20 ) }.
% 37.43/37.80 substitution0:
% 37.43/37.80 end
% 37.43/37.80 permutation0:
% 37.43/37.80 0 ==> 0
% 37.43/37.80 end
% 37.43/37.80
% 37.43/37.80 resolution: (81528) {G1,W12,D2,L3,V4,M3} { ! coll( X, Y, Z ), coll( Z, T,
% 37.43/37.80 X ), ! coll( X, T, Y ) }.
% 37.43/37.80 parent0[1]: (2) {G0,W12,D2,L3,V4,M3} I { ! coll( X, T, Y ), ! coll( X, T, Z
% 37.43/37.80 ), coll( Y, Z, X ) }.
% 37.43/37.80 parent1[1]: (0) {G0,W8,D2,L2,V3,M2} I { ! coll( X, Y, Z ), coll( X, Z, Y )
% 37.43/37.80 }.
% 37.43/37.80 substitution0:
% 37.43/37.80 X := X
% 37.43/37.80 Y := Z
% 37.43/37.80 Z := T
% 37.43/37.80 T := Y
% 37.43/37.80 end
% 37.43/37.80 substitution1:
% 37.43/37.80 X := X
% 37.43/37.80 Y := T
% 37.43/37.80 Z := Y
% 37.43/37.80 end
% 37.43/37.80
% 37.43/37.80 subsumption: (201) {G1,W12,D2,L3,V4,M3} R(2,0) { ! coll( X, Y, Z ), coll( Z
% 37.43/37.80 , T, X ), ! coll( X, T, Y ) }.
% 37.43/37.80 parent0: (81528) {G1,W12,D2,L3,V4,M3} { ! coll( X, Y, Z ), coll( Z, T, X )
% 37.43/37.80 , ! coll( X, T, Y ) }.
% 37.43/37.80 substitution0:
% 37.43/37.80 X := X
% 37.43/37.80 Y := Y
% 37.43/37.80 Z := Z
% 37.43/37.80 T := T
% 37.43/37.80 end
% 37.43/37.80 permutation0:
% 37.43/37.80 0 ==> 0
% 37.43/37.80 1 ==> 1
% 37.43/37.80 2 ==> 2
% 37.43/37.80 end
% 37.43/37.80
% 37.43/37.80 resolution: (81531) {G1,W10,D2,L2,V4,M2} { para( X, Y, T, Z ), ! para( Z,
% 37.43/37.80 T, X, Y ) }.
% 37.43/37.80 parent0[0]: (3) {G0,W10,D2,L2,V4,M2} I { ! para( X, Y, Z, T ), para( X, Y,
% 37.43/37.80 T, Z ) }.
% 37.43/37.80 parent1[1]: (4) {G0,W10,D2,L2,V4,M2} I { ! para( X, Y, Z, T ), para( Z, T,
% 37.43/37.80 X, Y ) }.
% 37.43/37.80 substitution0:
% 37.43/37.80 X := X
% 37.43/37.80 Y := Y
% 37.43/37.80 Z := Z
% 37.43/37.80 T := T
% 37.43/37.80 end
% 37.43/37.80 substitution1:
% 37.43/37.80 X := Z
% 37.43/37.80 Y := T
% 37.43/37.80 Z := X
% 37.43/37.80 T := Y
% 37.43/37.80 end
% 37.43/37.80
% 37.43/37.80 subsumption: (225) {G1,W10,D2,L2,V4,M2} R(4,3) { ! para( X, Y, Z, T ), para
% 37.43/37.80 ( Z, T, Y, X ) }.
% 37.43/37.80 parent0: (81531) {G1,W10,D2,L2,V4,M2} { para( X, Y, T, Z ), ! para( Z, T,
% 37.43/37.80 X, Y ) }.
% 37.43/37.80 substitution0:
% 37.43/37.80 X := Z
% 37.43/37.80 Y := T
% 37.43/37.80 Z := X
% 37.43/37.80 T := Y
% 37.43/37.80 end
% 37.43/37.80 permutation0:
% 37.43/37.80 0 ==> 1
% 37.43/37.80 1 ==> 0
% 37.43/37.80 end
% 37.43/37.80
% 37.43/37.80 resolution: (81532) {G1,W5,D2,L1,V0,M1} { ! para( skol20, skol22, skol23,
% 37.43/37.80 skol24 ) }.
% 37.43/37.80 parent0[0]: (119) {G0,W5,D2,L1,V0,M1} I { ! para( skol23, skol24, skol20,
% 37.43/37.80 skol22 ) }.
% 37.43/37.80 parent1[1]: (4) {G0,W10,D2,L2,V4,M2} I { ! para( X, Y, Z, T ), para( Z, T,
% 37.43/37.80 X, Y ) }.
% 37.43/37.80 substitution0:
% 37.43/37.80 end
% 37.43/37.80 substitution1:
% 37.43/37.80 X := skol20
% 37.43/37.80 Y := skol22
% 37.43/37.80 Z := skol23
% 37.43/37.80 T := skol24
% 37.43/37.80 end
% 37.43/37.80
% 37.43/37.80 subsumption: (226) {G1,W5,D2,L1,V0,M1} R(4,119) { ! para( skol20, skol22,
% 37.43/37.80 skol23, skol24 ) }.
% 37.43/37.80 parent0: (81532) {G1,W5,D2,L1,V0,M1} { ! para( skol20, skol22, skol23,
% 37.43/37.80 skol24 ) }.
% 37.43/37.80 substitution0:
% 37.43/37.80 end
% 37.43/37.80 permutation0:
% 37.43/37.80 0 ==> 0
% 37.43/37.80 end
% 37.43/37.80
% 37.43/37.80 resolution: (81533) {G1,W8,D2,L2,V1,M2} { ! coll( skol20, skol20, X ),
% 37.43/37.80 coll( skol25, X, skol20 ) }.
% 37.43/37.80 parent0[0]: (2) {G0,W12,D2,L3,V4,M3} I { ! coll( X, T, Y ), ! coll( X, T, Z
% 37.43/37.80 ), coll( Y, Z, X ) }.
% 37.43/37.80 parent1[0]: (166) {G2,W4,D2,L1,V0,M1} R(120,157) { coll( skol20, skol20,
% 37.43/37.80 skol25 ) }.
% 37.43/37.80 substitution0:
% 37.43/37.80 X := skol20
% 37.43/37.80 Y := skol25
% 37.43/37.80 Z := X
% 37.43/37.80 T := skol20
% 37.43/37.80 end
% 37.43/37.80 substitution1:
% 37.43/37.80 end
% 37.43/37.80
% 37.43/37.80 subsumption: (257) {G3,W8,D2,L2,V1,M2} R(166,2) { ! coll( skol20, skol20, X
% 37.43/37.80 ), coll( skol25, X, skol20 ) }.
% 37.43/37.80 parent0: (81533) {G1,W8,D2,L2,V1,M2} { ! coll( skol20, skol20, X ), coll(
% 37.43/37.80 skol25, X, skol20 ) }.
% 37.43/37.80 substitution0:
% 37.43/37.80 X := X
% 37.43/37.80 end
% 37.43/37.80 permutation0:
% 37.43/37.80 0 ==> 0
% 37.43/37.80 1 ==> 1
% 37.43/37.80 end
% 37.43/37.80
% 37.43/37.80 resolution: (81536) {G1,W10,D2,L2,V4,M2} { perp( X, Y, T, Z ), ! perp( Z,
% 37.43/37.80 T, X, Y ) }.
% 37.43/37.80 parent0[0]: (6) {G0,W10,D2,L2,V4,M2} I { ! perp( X, Y, Z, T ), perp( X, Y,
% 37.43/37.80 T, Z ) }.
% 37.43/37.80 parent1[1]: (7) {G0,W10,D2,L2,V4,M2} I { ! perp( X, Y, Z, T ), perp( Z, T,
% 37.43/37.80 X, Y ) }.
% 37.43/37.80 substitution0:
% 37.43/37.80 X := X
% 37.43/37.80 Y := Y
% 37.43/37.80 Z := Z
% 37.43/37.80 T := T
% 37.43/37.80 end
% 37.43/37.80 substitution1:
% 37.43/37.80 X := Z
% 37.43/37.80 Y := T
% 37.43/37.80 Z := X
% 37.43/37.80 T := Y
% 37.43/37.80 end
% 37.43/37.80
% 37.43/37.80 subsumption: (264) {G1,W10,D2,L2,V4,M2} R(7,6) { ! perp( X, Y, Z, T ), perp
% 37.43/37.80 ( Z, T, Y, X ) }.
% 37.43/37.80 parent0: (81536) {G1,W10,D2,L2,V4,M2} { perp( X, Y, T, Z ), ! perp( Z, T,
% 37.43/37.80 X, Y ) }.
% 37.43/37.80 substitution0:
% 37.43/37.80 X := Z
% 37.43/37.80 Y := T
% 37.43/37.80 Z := X
% 37.43/37.80 T := Y
% 37.43/37.80 end
% 37.43/37.80 permutation0:
% 37.43/37.80 0 ==> 1
% 37.43/37.80 1 ==> 0
% 37.43/37.80 end
% 37.43/37.80
% 37.43/37.80 resolution: (81537) {G1,W5,D2,L1,V0,M1} { ! para( skol20, skol22, skol24,
% 37.43/37.80 skol23 ) }.
% 37.43/37.80 parent0[0]: (226) {G1,W5,D2,L1,V0,M1} R(4,119) { ! para( skol20, skol22,
% 37.43/37.80 skol23, skol24 ) }.
% 37.43/37.80 parent1[1]: (3) {G0,W10,D2,L2,V4,M2} I { ! para( X, Y, Z, T ), para( X, Y,
% 37.43/37.80 T, Z ) }.
% 37.43/37.80 substitution0:
% 37.43/37.80 end
% 37.43/37.80 substitution1:
% 37.43/37.80 X := skol20
% 37.43/37.80 Y := skol22
% 37.43/37.80 Z := skol24
% 37.43/37.80 T := skol23
% 37.43/37.80 end
% 37.43/37.80
% 37.43/37.80 subsumption: (267) {G2,W5,D2,L1,V0,M1} R(226,3) { ! para( skol20, skol22,
% 37.43/37.80 skol24, skol23 ) }.
% 37.43/37.80 parent0: (81537) {G1,W5,D2,L1,V0,M1} { ! para( skol20, skol22, skol24,
% 37.43/37.80 skol23 ) }.
% 37.43/37.80 substitution0:
% 37.43/37.80 end
% 37.43/37.80 permutation0:
% 37.43/37.80 0 ==> 0
% 37.43/37.80 end
% 37.43/37.80
% 37.43/37.80 resolution: (81538) {G1,W5,D2,L1,V0,M1} { ! para( skol24, skol23, skol20,
% 37.43/37.80 skol22 ) }.
% 37.43/37.80 parent0[0]: (267) {G2,W5,D2,L1,V0,M1} R(226,3) { ! para( skol20, skol22,
% 37.43/37.80 skol24, skol23 ) }.
% 37.43/37.80 parent1[1]: (4) {G0,W10,D2,L2,V4,M2} I { ! para( X, Y, Z, T ), para( Z, T,
% 37.43/37.80 X, Y ) }.
% 37.43/37.80 substitution0:
% 37.43/37.80 end
% 37.43/37.80 substitution1:
% 37.43/37.80 X := skol24
% 37.43/37.80 Y := skol23
% 37.43/37.80 Z := skol20
% 37.43/37.80 T := skol22
% 37.43/37.80 end
% 37.43/37.80
% 37.43/37.80 subsumption: (269) {G3,W5,D2,L1,V0,M1} R(267,4) { ! para( skol24, skol23,
% 37.43/37.80 skol20, skol22 ) }.
% 37.43/37.80 parent0: (81538) {G1,W5,D2,L1,V0,M1} { ! para( skol24, skol23, skol20,
% 37.43/37.80 skol22 ) }.
% 37.43/37.80 substitution0:
% 37.43/37.80 end
% 37.43/37.80 permutation0:
% 37.43/37.80 0 ==> 0
% 37.43/37.80 end
% 37.43/37.80
% 37.43/37.80 resolution: (81539) {G1,W5,D2,L1,V0,M1} { ! para( skol24, skol23, skol22,
% 37.43/37.80 skol20 ) }.
% 37.43/37.80 parent0[0]: (269) {G3,W5,D2,L1,V0,M1} R(267,4) { ! para( skol24, skol23,
% 37.43/37.80 skol20, skol22 ) }.
% 37.43/37.80 parent1[1]: (3) {G0,W10,D2,L2,V4,M2} I { ! para( X, Y, Z, T ), para( X, Y,
% 37.43/37.80 T, Z ) }.
% 37.43/37.80 substitution0:
% 37.43/37.80 end
% 37.43/37.80 substitution1:
% 37.43/37.80 X := skol24
% 37.43/37.80 Y := skol23
% 37.43/37.80 Z := skol22
% 37.43/37.80 T := skol20
% 37.43/37.80 end
% 37.43/37.80
% 37.43/37.80 subsumption: (271) {G4,W5,D2,L1,V0,M1} R(269,3) { ! para( skol24, skol23,
% 37.43/37.80 skol22, skol20 ) }.
% 37.43/37.80 parent0: (81539) {G1,W5,D2,L1,V0,M1} { ! para( skol24, skol23, skol22,
% 37.43/37.80 skol20 ) }.
% 37.43/37.80 substitution0:
% 37.43/37.80 end
% 37.43/37.80 permutation0:
% 37.43/37.80 0 ==> 0
% 37.43/37.80 end
% 37.43/37.80
% 37.43/37.80 resolution: (81540) {G1,W5,D2,L1,V0,M1} { ! para( skol22, skol20, skol24,
% 37.43/37.80 skol23 ) }.
% 37.43/37.80 parent0[0]: (271) {G4,W5,D2,L1,V0,M1} R(269,3) { ! para( skol24, skol23,
% 37.43/37.80 skol22, skol20 ) }.
% 37.43/37.80 parent1[1]: (4) {G0,W10,D2,L2,V4,M2} I { ! para( X, Y, Z, T ), para( Z, T,
% 37.43/37.80 X, Y ) }.
% 37.43/37.80 substitution0:
% 37.43/37.80 end
% 37.43/37.80 substitution1:
% 37.43/37.80 X := skol22
% 37.43/37.80 Y := skol20
% 37.43/37.80 Z := skol24
% 37.43/37.80 T := skol23
% 37.43/37.80 end
% 37.43/37.80
% 37.43/37.80 subsumption: (289) {G5,W5,D2,L1,V0,M1} R(271,4) { ! para( skol22, skol20,
% 37.43/37.80 skol24, skol23 ) }.
% 37.43/37.80 parent0: (81540) {G1,W5,D2,L1,V0,M1} { ! para( skol22, skol20, skol24,
% 37.43/37.80 skol23 ) }.
% 37.43/37.80 substitution0:
% 37.43/37.80 end
% 37.43/37.80 permutation0:
% 37.43/37.80 0 ==> 0
% 37.43/37.80 end
% 37.43/37.80
% 37.43/37.80 resolution: (81541) {G1,W10,D2,L2,V2,M2} { ! perp( skol22, skol20, X, Y )
% 37.43/37.80 , ! perp( X, Y, skol24, skol23 ) }.
% 37.43/37.80 parent0[0]: (289) {G5,W5,D2,L1,V0,M1} R(271,4) { ! para( skol22, skol20,
% 37.43/37.80 skol24, skol23 ) }.
% 37.43/37.80 parent1[2]: (8) {G0,W15,D2,L3,V6,M3} I { ! perp( X, Y, U, W ), ! perp( U, W
% 37.43/37.80 , Z, T ), para( X, Y, Z, T ) }.
% 37.43/37.80 substitution0:
% 37.43/37.80 end
% 37.43/37.80 substitution1:
% 37.43/37.80 X := skol22
% 37.43/37.80 Y := skol20
% 37.43/37.80 Z := skol24
% 37.43/37.80 T := skol23
% 37.43/37.80 U := X
% 37.43/37.80 W := Y
% 37.43/37.80 end
% 37.43/37.80
% 37.43/37.80 subsumption: (290) {G6,W10,D2,L2,V2,M2} R(289,8) { ! perp( skol22, skol20,
% 37.43/37.80 X, Y ), ! perp( X, Y, skol24, skol23 ) }.
% 37.43/37.80 parent0: (81541) {G1,W10,D2,L2,V2,M2} { ! perp( skol22, skol20, X, Y ), !
% 37.43/37.80 perp( X, Y, skol24, skol23 ) }.
% 37.43/37.80 substitution0:
% 37.43/37.80 X := X
% 37.43/37.80 Y := Y
% 37.43/37.80 end
% 37.43/37.80 permutation0:
% 37.43/37.80 0 ==> 0
% 37.43/37.80 1 ==> 1
% 37.43/37.80 end
% 37.43/37.80
% 37.43/37.80 resolution: (81542) {G3,W8,D2,L2,V3,M2} { coll( Y, Y, X ), ! coll( Z, Y, X
% 37.43/37.80 ) }.
% 37.43/37.80 parent0[0]: (168) {G2,W8,D2,L2,V3,M2} R(1,120) { ! coll( X, Y, Z ), coll( Z
% 37.43/37.80 , Z, Y ) }.
% 37.43/37.80 parent1[1]: (168) {G2,W8,D2,L2,V3,M2} R(1,120) { ! coll( X, Y, Z ), coll( Z
% 37.43/37.80 , Z, Y ) }.
% 37.43/37.80 substitution0:
% 37.43/37.80 X := X
% 37.43/37.80 Y := X
% 37.43/37.80 Z := Y
% 37.43/37.80 end
% 37.43/37.80 substitution1:
% 37.43/37.80 X := Z
% 37.43/37.80 Y := Y
% 37.43/37.80 Z := X
% 37.43/37.80 end
% 37.43/37.80
% 37.43/37.80 subsumption: (305) {G3,W8,D2,L2,V3,M2} R(168,168) { coll( X, X, Y ), ! coll
% 37.43/37.80 ( Z, X, Y ) }.
% 37.43/37.80 parent0: (81542) {G3,W8,D2,L2,V3,M2} { coll( Y, Y, X ), ! coll( Z, Y, X )
% 37.43/37.80 }.
% 37.43/37.80 substitution0:
% 37.43/37.80 X := Y
% 37.43/37.80 Y := X
% 37.43/37.80 Z := Z
% 37.43/37.80 end
% 37.43/37.80 permutation0:
% 37.43/37.80 0 ==> 0
% 37.43/37.80 1 ==> 1
% 37.43/37.80 end
% 37.43/37.80
% 37.43/37.80 resolution: (81543) {G2,W8,D2,L2,V3,M2} { coll( Z, Z, Y ), ! midp( X, Z, Y
% 37.43/37.80 ) }.
% 37.43/37.80 parent0[0]: (168) {G2,W8,D2,L2,V3,M2} R(1,120) { ! coll( X, Y, Z ), coll( Z
% 37.43/37.80 , Z, Y ) }.
% 37.43/37.80 parent1[1]: (158) {G1,W8,D2,L2,V3,M2} R(10,69) { ! midp( X, Y, Z ), coll( X
% 37.43/37.80 , Z, Y ) }.
% 37.43/37.80 substitution0:
% 37.43/37.80 X := X
% 37.43/37.80 Y := Y
% 37.43/37.80 Z := Z
% 37.43/37.80 end
% 37.43/37.80 substitution1:
% 37.43/37.80 X := X
% 37.43/37.80 Y := Z
% 37.43/37.80 Z := Y
% 37.43/37.80 end
% 37.43/37.80
% 37.43/37.80 subsumption: (308) {G3,W8,D2,L2,V3,M2} R(168,158) { coll( X, X, Y ), ! midp
% 37.43/37.80 ( Z, X, Y ) }.
% 37.43/37.80 parent0: (81543) {G2,W8,D2,L2,V3,M2} { coll( Z, Z, Y ), ! midp( X, Z, Y )
% 37.43/37.80 }.
% 37.43/37.80 substitution0:
% 37.43/37.80 X := Z
% 37.43/37.80 Y := Y
% 37.43/37.80 Z := X
% 37.43/37.80 end
% 37.43/37.80 permutation0:
% 37.43/37.80 0 ==> 0
% 37.43/37.80 1 ==> 1
% 37.43/37.80 end
% 37.43/37.80
% 37.43/37.80 resolution: (81545) {G1,W8,D2,L2,V3,M2} { coll( X, Y, X ), ! coll( Z, X, Y
% 37.43/37.80 ) }.
% 37.43/37.80 parent0[0]: (0) {G0,W8,D2,L2,V3,M2} I { ! coll( X, Y, Z ), coll( X, Z, Y )
% 37.43/37.80 }.
% 37.43/37.80 parent1[0]: (305) {G3,W8,D2,L2,V3,M2} R(168,168) { coll( X, X, Y ), ! coll
% 37.43/37.80 ( Z, X, Y ) }.
% 37.43/37.80 substitution0:
% 37.43/37.80 X := X
% 37.43/37.80 Y := X
% 37.43/37.80 Z := Y
% 37.43/37.80 end
% 37.43/37.80 substitution1:
% 37.43/37.80 X := X
% 37.43/37.80 Y := Y
% 37.43/37.80 Z := Z
% 37.43/37.80 end
% 37.43/37.80
% 37.43/37.80 subsumption: (313) {G4,W8,D2,L2,V3,M2} R(305,0) { ! coll( X, Y, Z ), coll(
% 37.43/37.80 Y, Z, Y ) }.
% 37.43/37.80 parent0: (81545) {G1,W8,D2,L2,V3,M2} { coll( X, Y, X ), ! coll( Z, X, Y )
% 37.43/37.80 }.
% 37.43/37.80 substitution0:
% 37.43/37.80 X := Y
% 37.43/37.80 Y := Z
% 37.43/37.80 Z := X
% 37.43/37.80 end
% 37.43/37.80 permutation0:
% 37.43/37.80 0 ==> 1
% 37.43/37.80 1 ==> 0
% 37.43/37.80 end
% 37.43/37.80
% 37.43/37.80 resolution: (81546) {G1,W8,D2,L2,V3,M2} { coll( Y, Z, Y ), ! coll( Y, X, Z
% 37.43/37.80 ) }.
% 37.43/37.80 parent0[0]: (313) {G4,W8,D2,L2,V3,M2} R(305,0) { ! coll( X, Y, Z ), coll( Y
% 37.43/37.80 , Z, Y ) }.
% 37.43/37.80 parent1[1]: (1) {G0,W8,D2,L2,V3,M2} I { ! coll( X, Y, Z ), coll( Y, X, Z )
% 37.43/37.80 }.
% 37.43/37.80 substitution0:
% 37.43/37.80 X := X
% 37.43/37.80 Y := Y
% 37.43/37.80 Z := Z
% 37.43/37.80 end
% 37.43/37.80 substitution1:
% 37.43/37.80 X := Y
% 37.43/37.80 Y := X
% 37.43/37.80 Z := Z
% 37.43/37.80 end
% 37.43/37.80
% 37.43/37.80 subsumption: (316) {G5,W8,D2,L2,V3,M2} R(313,1) { coll( X, Y, X ), ! coll(
% 37.43/37.80 X, Z, Y ) }.
% 37.43/37.80 parent0: (81546) {G1,W8,D2,L2,V3,M2} { coll( Y, Z, Y ), ! coll( Y, X, Z )
% 37.43/37.80 }.
% 37.43/37.80 substitution0:
% 37.43/37.80 X := Z
% 37.43/37.80 Y := X
% 37.43/37.80 Z := Y
% 37.43/37.80 end
% 37.43/37.80 permutation0:
% 37.43/37.80 0 ==> 0
% 37.43/37.80 1 ==> 1
% 37.43/37.80 end
% 37.43/37.80
% 37.43/37.80 resolution: (81548) {G1,W8,D2,L2,V3,M2} { coll( Y, X, X ), ! coll( X, Z, Y
% 37.43/37.80 ) }.
% 37.43/37.80 parent0[0]: (1) {G0,W8,D2,L2,V3,M2} I { ! coll( X, Y, Z ), coll( Y, X, Z )
% 37.43/37.80 }.
% 37.43/37.80 parent1[0]: (316) {G5,W8,D2,L2,V3,M2} R(313,1) { coll( X, Y, X ), ! coll( X
% 37.43/37.80 , Z, Y ) }.
% 37.43/37.80 substitution0:
% 37.43/37.80 X := X
% 37.43/37.80 Y := Y
% 37.43/37.80 Z := X
% 37.43/37.80 end
% 37.43/37.80 substitution1:
% 37.43/37.80 X := X
% 37.43/37.80 Y := Y
% 37.43/37.80 Z := Z
% 37.43/37.80 end
% 37.43/37.80
% 37.43/37.80 subsumption: (323) {G6,W8,D2,L2,V3,M2} R(316,1) { ! coll( X, Y, Z ), coll(
% 37.43/37.80 Z, X, X ) }.
% 37.43/37.80 parent0: (81548) {G1,W8,D2,L2,V3,M2} { coll( Y, X, X ), ! coll( X, Z, Y )
% 37.43/37.80 }.
% 37.43/37.80 substitution0:
% 37.43/37.80 X := X
% 37.43/37.80 Y := Z
% 37.43/37.80 Z := Y
% 37.43/37.80 end
% 37.43/37.80 permutation0:
% 37.43/37.80 0 ==> 1
% 37.43/37.80 1 ==> 0
% 37.43/37.80 end
% 37.43/37.80
% 37.43/37.80 resolution: (81549) {G7,W8,D2,L2,V3,M2} { coll( Y, X, X ), ! coll( Y, Z, X
% 37.43/37.80 ) }.
% 37.43/37.80 parent0[0]: (323) {G6,W8,D2,L2,V3,M2} R(316,1) { ! coll( X, Y, Z ), coll( Z
% 37.43/37.80 , X, X ) }.
% 37.43/37.80 parent1[1]: (323) {G6,W8,D2,L2,V3,M2} R(316,1) { ! coll( X, Y, Z ), coll( Z
% 37.43/37.80 , X, X ) }.
% 37.43/37.80 substitution0:
% 37.43/37.80 X := X
% 37.43/37.80 Y := Y
% 37.43/37.80 Z := Y
% 37.43/37.80 end
% 37.43/37.80 substitution1:
% 37.43/37.80 X := Y
% 37.43/37.80 Y := Z
% 37.43/37.80 Z := X
% 37.43/37.80 end
% 37.43/37.80
% 37.43/37.80 subsumption: (331) {G7,W8,D2,L2,V3,M2} R(323,323) { coll( X, Y, Y ), ! coll
% 37.43/37.80 ( X, Z, Y ) }.
% 37.43/37.80 parent0: (81549) {G7,W8,D2,L2,V3,M2} { coll( Y, X, X ), ! coll( Y, Z, X )
% 37.43/37.80 }.
% 37.43/37.80 substitution0:
% 37.43/37.80 X := Y
% 37.43/37.80 Y := X
% 37.43/37.80 Z := Z
% 37.43/37.80 end
% 37.43/37.80 permutation0:
% 37.43/37.80 0 ==> 0
% 37.43/37.80 1 ==> 1
% 37.43/37.80 end
% 37.43/37.80
% 37.43/37.80 resolution: (81550) {G1,W8,D2,L2,V3,M2} { coll( X, Y, Y ), ! coll( X, Y, Z
% 37.43/37.80 ) }.
% 37.43/37.80 parent0[1]: (331) {G7,W8,D2,L2,V3,M2} R(323,323) { coll( X, Y, Y ), ! coll
% 37.43/37.80 ( X, Z, Y ) }.
% 37.43/37.80 parent1[1]: (0) {G0,W8,D2,L2,V3,M2} I { ! coll( X, Y, Z ), coll( X, Z, Y )
% 37.43/37.80 }.
% 37.43/37.80 substitution0:
% 37.43/37.80 X := X
% 37.43/37.80 Y := Y
% 37.43/37.80 Z := Z
% 37.43/37.80 end
% 37.43/37.80 substitution1:
% 37.43/37.80 X := X
% 37.43/37.80 Y := Y
% 37.43/37.80 Z := Z
% 37.43/37.80 end
% 37.43/37.80
% 37.43/37.80 subsumption: (339) {G8,W8,D2,L2,V3,M2} R(331,0) { coll( X, Y, Y ), ! coll(
% 37.43/37.80 X, Y, Z ) }.
% 37.43/37.80 parent0: (81550) {G1,W8,D2,L2,V3,M2} { coll( X, Y, Y ), ! coll( X, Y, Z )
% 37.43/37.80 }.
% 37.43/37.80 substitution0:
% 37.43/37.80 X := X
% 37.43/37.80 Y := Y
% 37.43/37.80 Z := Z
% 37.43/37.80 end
% 37.43/37.80 permutation0:
% 37.43/37.80 0 ==> 0
% 37.43/37.80 1 ==> 1
% 37.43/37.80 end
% 37.43/37.80
% 37.43/37.80 resolution: (81552) {G1,W10,D2,L2,V4,M2} { cyclic( X, Y, T, Z ), ! cyclic
% 37.43/37.80 ( X, Z, Y, T ) }.
% 37.43/37.80 parent0[0]: (13) {G0,W10,D2,L2,V4,M2} I { ! cyclic( X, Y, Z, T ), cyclic( X
% 37.43/37.80 , Y, T, Z ) }.
% 37.43/37.80 parent1[1]: (14) {G0,W10,D2,L2,V4,M2} I { ! cyclic( X, Y, Z, T ), cyclic( X
% 37.43/37.80 , Z, Y, T ) }.
% 37.43/37.80 substitution0:
% 37.43/37.80 X := X
% 37.43/37.80 Y := Y
% 37.43/37.80 Z := Z
% 37.43/37.80 T := T
% 37.43/37.80 end
% 37.43/37.80 substitution1:
% 37.43/37.80 X := X
% 37.43/37.80 Y := Z
% 37.43/37.80 Z := Y
% 37.43/37.80 T := T
% 37.43/37.80 end
% 37.43/37.80
% 37.43/37.80 subsumption: (351) {G1,W10,D2,L2,V4,M2} R(14,13) { ! cyclic( X, Y, Z, T ),
% 37.43/37.80 cyclic( X, Z, T, Y ) }.
% 37.43/37.80 parent0: (81552) {G1,W10,D2,L2,V4,M2} { cyclic( X, Y, T, Z ), ! cyclic( X
% 37.43/37.80 , Z, Y, T ) }.
% 37.43/37.80 substitution0:
% 37.43/37.80 X := X
% 37.43/37.80 Y := Z
% 37.43/37.80 Z := Y
% 37.43/37.80 T := T
% 37.43/37.80 end
% 37.43/37.80 permutation0:
% 37.43/37.80 0 ==> 1
% 37.43/37.80 1 ==> 0
% 37.43/37.80 end
% 37.43/37.80
% 37.43/37.80 resolution: (81556) {G1,W12,D2,L3,V4,M3} { ! coll( X, Y, Z ), coll( Z, Y,
% 37.43/37.80 X ), ! coll( X, Y, T ) }.
% 37.43/37.80 parent0[1]: (2) {G0,W12,D2,L3,V4,M3} I { ! coll( X, T, Y ), ! coll( X, T, Z
% 37.43/37.80 ), coll( Y, Z, X ) }.
% 37.43/37.80 parent1[0]: (339) {G8,W8,D2,L2,V3,M2} R(331,0) { coll( X, Y, Y ), ! coll( X
% 37.43/37.80 , Y, Z ) }.
% 37.43/37.80 substitution0:
% 37.43/37.80 X := X
% 37.43/37.80 Y := Z
% 37.43/37.80 Z := Y
% 37.43/37.80 T := Y
% 37.43/37.80 end
% 37.43/37.80 substitution1:
% 37.43/37.80 X := X
% 37.43/37.80 Y := Y
% 37.43/37.80 Z := T
% 37.43/37.80 end
% 37.43/37.80
% 37.43/37.80 subsumption: (352) {G9,W12,D2,L3,V4,M3} R(339,2) { ! coll( X, Y, Z ), !
% 37.43/37.80 coll( X, Y, T ), coll( T, Y, X ) }.
% 37.43/37.80 parent0: (81556) {G1,W12,D2,L3,V4,M3} { ! coll( X, Y, Z ), coll( Z, Y, X )
% 37.43/37.80 , ! coll( X, Y, T ) }.
% 37.43/37.80 substitution0:
% 37.43/37.80 X := X
% 37.43/37.80 Y := Y
% 37.43/37.80 Z := T
% 37.43/37.80 T := Z
% 37.43/37.80 end
% 37.43/37.80 permutation0:
% 37.43/37.80 0 ==> 1
% 37.43/37.80 1 ==> 2
% 37.43/37.80 2 ==> 0
% 37.43/37.80 end
% 37.43/37.80
% 37.43/37.80 factor: (81559) {G9,W8,D2,L2,V3,M2} { ! coll( X, Y, Z ), coll( Z, Y, X )
% 37.43/37.80 }.
% 37.43/37.80 parent0[0, 1]: (352) {G9,W12,D2,L3,V4,M3} R(339,2) { ! coll( X, Y, Z ), !
% 37.43/37.80 coll( X, Y, T ), coll( T, Y, X ) }.
% 37.43/37.80 substitution0:
% 37.43/37.80 X := X
% 37.43/37.80 Y := Y
% 37.43/37.80 Z := Z
% 37.43/37.80 T := Z
% 37.43/37.80 end
% 37.43/37.80
% 37.43/37.80 subsumption: (355) {G10,W8,D2,L2,V3,M2} F(352) { ! coll( X, Y, Z ), coll( Z
% 37.43/37.80 , Y, X ) }.
% 37.43/37.80 parent0: (81559) {G9,W8,D2,L2,V3,M2} { ! coll( X, Y, Z ), coll( Z, Y, X )
% 37.43/37.80 }.
% 37.43/37.80 substitution0:
% 37.43/37.80 X := X
% 37.43/37.80 Y := Y
% 37.43/37.80 Z := Z
% 37.43/37.80 end
% 37.43/37.80 permutation0:
% 37.43/37.80 0 ==> 0
% 37.43/37.80 1 ==> 1
% 37.43/37.80 end
% 37.43/37.80
% 37.43/37.80 resolution: (81560) {G1,W12,D2,L3,V4,M3} { coll( Z, Y, X ), ! coll( Z, T,
% 37.43/37.80 X ), ! coll( Z, T, Y ) }.
% 37.43/37.80 parent0[0]: (355) {G10,W8,D2,L2,V3,M2} F(352) { ! coll( X, Y, Z ), coll( Z
% 37.43/37.80 , Y, X ) }.
% 37.43/37.80 parent1[2]: (2) {G0,W12,D2,L3,V4,M3} I { ! coll( X, T, Y ), ! coll( X, T, Z
% 37.43/37.80 ), coll( Y, Z, X ) }.
% 37.43/37.80 substitution0:
% 37.43/37.80 X := X
% 37.43/37.80 Y := Y
% 37.43/37.80 Z := Z
% 37.43/37.80 end
% 37.43/37.80 substitution1:
% 37.43/37.80 X := Z
% 37.43/37.80 Y := X
% 37.43/37.80 Z := Y
% 37.43/37.80 T := T
% 37.43/37.80 end
% 37.43/37.80
% 37.43/37.80 subsumption: (357) {G11,W12,D2,L3,V4,M3} R(355,2) { coll( X, Y, Z ), ! coll
% 37.43/37.80 ( X, T, Z ), ! coll( X, T, Y ) }.
% 37.43/37.80 parent0: (81560) {G1,W12,D2,L3,V4,M3} { coll( Z, Y, X ), ! coll( Z, T, X )
% 37.43/37.80 , ! coll( Z, T, Y ) }.
% 37.43/37.80 substitution0:
% 37.43/37.80 X := Z
% 37.43/37.80 Y := Y
% 37.43/37.80 Z := X
% 37.43/37.80 T := T
% 37.43/37.80 end
% 37.43/37.80 permutation0:
% 37.43/37.80 0 ==> 0
% 37.43/37.80 1 ==> 1
% 37.43/37.80 2 ==> 2
% 37.43/37.80 end
% 37.43/37.80
% 37.43/37.80 resolution: (81562) {G1,W10,D2,L2,V4,M2} { cyclic( Y, X, Z, T ), ! cyclic
% 37.43/37.80 ( X, Z, Y, T ) }.
% 37.43/37.80 parent0[0]: (15) {G0,W10,D2,L2,V4,M2} I { ! cyclic( X, Y, Z, T ), cyclic( Y
% 37.43/37.80 , X, Z, T ) }.
% 37.43/37.80 parent1[1]: (14) {G0,W10,D2,L2,V4,M2} I { ! cyclic( X, Y, Z, T ), cyclic( X
% 37.43/37.80 , Z, Y, T ) }.
% 37.43/37.80 substitution0:
% 37.43/37.80 X := X
% 37.43/37.80 Y := Y
% 37.43/37.80 Z := Z
% 37.43/37.80 T := T
% 37.43/37.80 end
% 37.43/37.80 substitution1:
% 37.43/37.80 X := X
% 37.43/37.80 Y := Z
% 37.43/37.80 Z := Y
% 37.43/37.80 T := T
% 37.43/37.80 end
% 37.43/37.80
% 37.43/37.80 subsumption: (368) {G1,W10,D2,L2,V4,M2} R(15,14) { cyclic( X, Y, Z, T ), !
% 37.43/37.80 cyclic( Y, Z, X, T ) }.
% 37.43/37.80 parent0: (81562) {G1,W10,D2,L2,V4,M2} { cyclic( Y, X, Z, T ), ! cyclic( X
% 37.43/37.80 , Z, Y, T ) }.
% 37.43/37.80 substitution0:
% 37.43/37.80 X := Y
% 37.43/37.80 Y := X
% 37.43/37.80 Z := Z
% 37.43/37.80 T := T
% 37.43/37.80 end
% 37.43/37.80 permutation0:
% 37.43/37.80 0 ==> 0
% 37.43/37.80 1 ==> 1
% 37.43/37.80 end
% 37.43/37.80
% 37.43/37.80 resolution: (81564) {G1,W10,D2,L2,V4,M2} { cyclic( X, Z, Y, T ), ! cyclic
% 37.43/37.80 ( Y, X, Z, T ) }.
% 37.43/37.80 parent0[0]: (14) {G0,W10,D2,L2,V4,M2} I { ! cyclic( X, Y, Z, T ), cyclic( X
% 37.43/37.80 , Z, Y, T ) }.
% 37.43/37.80 parent1[1]: (15) {G0,W10,D2,L2,V4,M2} I { ! cyclic( X, Y, Z, T ), cyclic( Y
% 37.43/37.80 , X, Z, T ) }.
% 37.43/37.80 substitution0:
% 37.43/37.80 X := X
% 37.43/37.80 Y := Y
% 37.43/37.80 Z := Z
% 37.43/37.80 T := T
% 37.43/37.80 end
% 37.43/37.80 substitution1:
% 37.43/37.80 X := Y
% 37.43/37.80 Y := X
% 37.43/37.80 Z := Z
% 37.43/37.80 T := T
% 37.43/37.80 end
% 37.43/37.80
% 37.43/37.80 subsumption: (369) {G1,W10,D2,L2,V4,M2} R(15,14) { ! cyclic( X, Y, Z, T ),
% 37.43/37.80 cyclic( Y, Z, X, T ) }.
% 37.43/37.80 parent0: (81564) {G1,W10,D2,L2,V4,M2} { cyclic( X, Z, Y, T ), ! cyclic( Y
% 37.43/37.80 , X, Z, T ) }.
% 37.43/37.80 substitution0:
% 37.43/37.80 X := Y
% 37.43/37.80 Y := X
% 37.43/37.80 Z := Z
% 37.43/37.80 T := T
% 37.43/37.80 end
% 37.43/37.80 permutation0:
% 37.43/37.80 0 ==> 1
% 37.43/37.80 1 ==> 0
% 37.43/37.80 end
% 37.43/37.80
% 37.43/37.80 resolution: (81566) {G1,W15,D2,L3,V5,M3} { ! cyclic( X, Y, Z, T ), cyclic
% 37.43/37.80 ( Y, Z, T, U ), ! cyclic( X, Y, U, Z ) }.
% 37.43/37.80 parent0[1]: (16) {G0,W15,D2,L3,V5,M3} I { ! cyclic( U, X, Y, Z ), ! cyclic
% 37.43/37.80 ( U, X, Y, T ), cyclic( X, Y, Z, T ) }.
% 37.43/37.80 parent1[1]: (13) {G0,W10,D2,L2,V4,M2} I { ! cyclic( X, Y, Z, T ), cyclic( X
% 37.43/37.80 , Y, T, Z ) }.
% 37.43/37.80 substitution0:
% 37.43/37.80 X := Y
% 37.43/37.80 Y := Z
% 37.43/37.80 Z := T
% 37.43/37.80 T := U
% 37.43/37.80 U := X
% 37.43/37.80 end
% 37.43/37.80 substitution1:
% 37.43/37.80 X := X
% 37.43/37.80 Y := Y
% 37.43/37.80 Z := U
% 37.43/37.80 T := Z
% 37.43/37.80 end
% 37.43/37.80
% 37.43/37.80 subsumption: (389) {G1,W15,D2,L3,V5,M3} R(16,13) { ! cyclic( X, Y, Z, T ),
% 37.43/37.80 cyclic( Y, Z, T, U ), ! cyclic( X, Y, U, Z ) }.
% 37.43/37.80 parent0: (81566) {G1,W15,D2,L3,V5,M3} { ! cyclic( X, Y, Z, T ), cyclic( Y
% 37.43/37.80 , Z, T, U ), ! cyclic( X, Y, U, Z ) }.
% 37.43/37.80 substitution0:
% 37.43/37.80 X := X
% 37.43/37.80 Y := Y
% 37.43/37.80 Z := Z
% 37.43/37.80 T := T
% 37.43/37.80 U := U
% 37.43/37.80 end
% 37.43/37.80 permutation0:
% 37.43/37.80 0 ==> 0
% 37.43/37.80 1 ==> 1
% 37.43/37.80 2 ==> 2
% 37.43/37.80 end
% 37.43/37.80
% 37.43/37.80 resolution: (81568) {G3,W8,D2,L2,V2,M2} { coll( skol25, X, skol20 ), !
% 37.43/37.80 coll( X, skol20, Y ) }.
% 37.43/37.80 parent0[0]: (257) {G3,W8,D2,L2,V1,M2} R(166,2) { ! coll( skol20, skol20, X
% 37.43/37.80 ), coll( skol25, X, skol20 ) }.
% 37.43/37.80 parent1[0]: (164) {G2,W8,D2,L2,V3,M2} R(120,0) { coll( X, X, Y ), ! coll( Y
% 37.43/37.80 , X, Z ) }.
% 37.43/37.80 substitution0:
% 37.43/37.80 X := X
% 37.43/37.80 end
% 37.43/37.80 substitution1:
% 37.43/37.80 X := skol20
% 37.43/37.80 Y := X
% 37.43/37.80 Z := Y
% 37.43/37.80 end
% 37.43/37.80
% 37.43/37.80 subsumption: (445) {G4,W8,D2,L2,V2,M2} R(257,164) { coll( skol25, X, skol20
% 37.43/37.80 ), ! coll( X, skol20, Y ) }.
% 37.43/37.80 parent0: (81568) {G3,W8,D2,L2,V2,M2} { coll( skol25, X, skol20 ), ! coll(
% 37.43/37.80 X, skol20, Y ) }.
% 37.43/37.80 substitution0:
% 37.43/37.80 X := X
% 37.43/37.80 Y := Y
% 37.43/37.80 end
% 37.43/37.80 permutation0:
% 37.43/37.80 0 ==> 0
% 37.43/37.80 1 ==> 1
% 37.43/37.80 end
% 37.43/37.80
% 37.43/37.80 resolution: (81569) {G4,W8,D2,L2,V2,M2} { coll( skol25, X, skol20 ), !
% 37.43/37.80 midp( Y, skol20, X ) }.
% 37.43/37.80 parent0[0]: (257) {G3,W8,D2,L2,V1,M2} R(166,2) { ! coll( skol20, skol20, X
% 37.43/37.80 ), coll( skol25, X, skol20 ) }.
% 37.43/37.80 parent1[0]: (308) {G3,W8,D2,L2,V3,M2} R(168,158) { coll( X, X, Y ), ! midp
% 37.43/37.80 ( Z, X, Y ) }.
% 37.43/37.80 substitution0:
% 37.43/37.80 X := X
% 37.43/37.80 end
% 37.43/37.80 substitution1:
% 37.43/37.80 X := skol20
% 37.43/37.80 Y := X
% 37.43/37.80 Z := Y
% 37.43/37.80 end
% 37.43/37.80
% 37.43/37.80 subsumption: (455) {G4,W8,D2,L2,V2,M2} R(257,308) { coll( skol25, X, skol20
% 37.43/37.80 ), ! midp( Y, skol20, X ) }.
% 37.43/37.80 parent0: (81569) {G4,W8,D2,L2,V2,M2} { coll( skol25, X, skol20 ), ! midp(
% 37.43/37.80 Y, skol20, X ) }.
% 37.43/37.80 substitution0:
% 37.43/37.80 X := X
% 37.43/37.80 Y := Y
% 37.43/37.80 end
% 37.43/37.80 permutation0:
% 37.43/37.80 0 ==> 0
% 37.43/37.80 1 ==> 1
% 37.43/37.80 end
% 37.43/37.80
% 37.43/37.80 resolution: (81571) {G2,W8,D2,L2,V2,M2} { coll( X, skol20, skol25 ), !
% 37.43/37.80 coll( X, skol20, Y ) }.
% 37.43/37.80 parent0[0]: (172) {G1,W8,D2,L2,V3,M2} R(1,0) { ! coll( X, Y, Z ), coll( Y,
% 37.43/37.80 Z, X ) }.
% 37.43/37.80 parent1[0]: (445) {G4,W8,D2,L2,V2,M2} R(257,164) { coll( skol25, X, skol20
% 37.43/37.80 ), ! coll( X, skol20, Y ) }.
% 37.43/37.80 substitution0:
% 37.43/37.80 X := skol25
% 37.43/37.80 Y := X
% 37.43/37.80 Z := skol20
% 37.43/37.80 end
% 37.43/37.80 substitution1:
% 37.43/37.80 X := X
% 37.43/37.80 Y := Y
% 37.43/37.80 end
% 37.43/37.80
% 37.43/37.80 subsumption: (555) {G5,W8,D2,L2,V2,M2} R(445,172) { ! coll( X, skol20, Y )
% 37.43/37.80 , coll( X, skol20, skol25 ) }.
% 37.43/37.80 parent0: (81571) {G2,W8,D2,L2,V2,M2} { coll( X, skol20, skol25 ), ! coll(
% 37.43/37.80 X, skol20, Y ) }.
% 37.43/37.80 substitution0:
% 37.43/37.80 X := X
% 37.43/37.80 Y := Y
% 37.43/37.80 end
% 37.43/37.80 permutation0:
% 37.43/37.80 0 ==> 1
% 37.43/37.80 1 ==> 0
% 37.43/37.80 end
% 37.43/37.80
% 37.43/37.80 resolution: (81572) {G1,W14,D2,L3,V3,M3} { ! coll( X, X, Z ), cyclic( Y, Z
% 37.43/37.80 , X, X ), ! para( X, Y, X, Y ) }.
% 37.43/37.80 parent0[0]: (42) {G0,W18,D2,L3,V4,M3} I { ! eqangle( Z, X, Z, Y, T, X, T, Y
% 37.43/37.80 ), ! coll( Z, T, Y ), cyclic( X, Y, Z, T ) }.
% 37.43/37.80 parent1[1]: (39) {G0,W14,D2,L2,V6,M2} I { ! para( X, Y, Z, T ), eqangle( X
% 37.43/37.80 , Y, U, W, Z, T, U, W ) }.
% 37.43/37.80 substitution0:
% 37.43/37.80 X := Y
% 37.43/37.80 Y := Z
% 37.43/37.80 Z := X
% 37.43/37.80 T := X
% 37.43/37.80 end
% 37.43/37.80 substitution1:
% 37.43/37.80 X := X
% 37.43/37.80 Y := Y
% 37.43/37.80 Z := X
% 37.43/37.80 T := Y
% 37.43/37.80 U := X
% 37.43/37.80 W := Z
% 37.43/37.80 end
% 37.43/37.80
% 37.43/37.80 subsumption: (769) {G1,W14,D2,L3,V3,M3} R(42,39) { ! coll( X, X, Y ),
% 37.43/37.80 cyclic( Z, Y, X, X ), ! para( X, Z, X, Z ) }.
% 37.43/37.80 parent0: (81572) {G1,W14,D2,L3,V3,M3} { ! coll( X, X, Z ), cyclic( Y, Z, X
% 37.43/37.80 , X ), ! para( X, Y, X, Y ) }.
% 37.43/37.80 substitution0:
% 37.43/37.80 X := X
% 37.43/37.80 Y := Z
% 37.43/37.80 Z := Y
% 37.43/37.80 end
% 37.43/37.80 permutation0:
% 37.43/37.80 0 ==> 0
% 37.43/37.80 1 ==> 1
% 37.43/37.80 2 ==> 2
% 37.43/37.80 end
% 37.43/37.80
% 37.43/37.80 resolution: (81573) {G3,W8,D2,L2,V2,M2} { coll( X, skol20, skol25 ), !
% 37.43/37.80 coll( skol20, Y, X ) }.
% 37.43/37.80 parent0[0]: (555) {G5,W8,D2,L2,V2,M2} R(445,172) { ! coll( X, skol20, Y ),
% 37.43/37.80 coll( X, skol20, skol25 ) }.
% 37.43/37.80 parent1[1]: (165) {G2,W8,D2,L2,V3,M2} R(120,0) { ! coll( X, Y, Z ), coll( Z
% 37.43/37.80 , X, Z ) }.
% 37.43/37.80 substitution0:
% 37.43/37.80 X := X
% 37.43/37.80 Y := X
% 37.43/37.80 end
% 37.43/37.80 substitution1:
% 37.43/37.80 X := skol20
% 37.43/37.80 Y := Y
% 37.43/37.80 Z := X
% 37.43/37.80 end
% 37.43/37.80
% 37.43/37.80 subsumption: (818) {G6,W8,D2,L2,V2,M2} R(555,165) { coll( X, skol20, skol25
% 37.43/37.80 ), ! coll( skol20, Y, X ) }.
% 37.43/37.80 parent0: (81573) {G3,W8,D2,L2,V2,M2} { coll( X, skol20, skol25 ), ! coll(
% 37.43/37.80 skol20, Y, X ) }.
% 37.43/37.80 substitution0:
% 37.43/37.80 X := X
% 37.43/37.80 Y := Y
% 37.43/37.80 end
% 37.43/37.80 permutation0:
% 37.43/37.80 0 ==> 0
% 37.43/37.80 1 ==> 1
% 37.43/37.80 end
% 37.43/37.80
% 37.43/37.80 resolution: (81574) {G1,W25,D2,L5,V4,M5} { ! cyclic( X, Y, Z, X ), !
% 37.43/37.80 cyclic( X, Y, Z, Y ), ! cyclic( X, Y, Z, T ), cong( X, Y, X, Y ), !
% 37.43/37.80 cyclic( X, Y, Z, T ) }.
% 37.43/37.80 parent0[3]: (43) {G0,W29,D2,L5,V6,M5} I { ! cyclic( X, Y, U, Z ), ! cyclic
% 37.43/37.80 ( X, Y, U, T ), ! cyclic( X, Y, U, W ), ! eqangle( U, X, U, Y, W, Z, W, T
% 37.43/37.80 ), cong( X, Y, Z, T ) }.
% 37.43/37.80 parent1[1]: (40) {G0,W14,D2,L2,V4,M2} I { ! cyclic( X, Y, Z, T ), eqangle(
% 37.43/37.80 Z, X, Z, Y, T, X, T, Y ) }.
% 37.43/37.80 substitution0:
% 37.43/37.80 X := X
% 37.43/37.80 Y := Y
% 37.43/37.80 Z := X
% 37.43/37.80 T := Y
% 37.43/37.80 U := Z
% 37.43/37.80 W := T
% 37.43/37.80 end
% 37.43/37.80 substitution1:
% 37.43/37.80 X := X
% 37.43/37.80 Y := Y
% 37.43/37.80 Z := Z
% 37.43/37.80 T := T
% 37.43/37.80 end
% 37.43/37.80
% 37.43/37.80 factor: (81576) {G1,W20,D2,L4,V3,M4} { ! cyclic( X, Y, Z, X ), ! cyclic( X
% 37.43/37.80 , Y, Z, Y ), cong( X, Y, X, Y ), ! cyclic( X, Y, Z, X ) }.
% 37.43/37.80 parent0[0, 2]: (81574) {G1,W25,D2,L5,V4,M5} { ! cyclic( X, Y, Z, X ), !
% 37.43/37.80 cyclic( X, Y, Z, Y ), ! cyclic( X, Y, Z, T ), cong( X, Y, X, Y ), !
% 37.43/37.80 cyclic( X, Y, Z, T ) }.
% 37.43/37.80 substitution0:
% 37.43/37.80 X := X
% 37.43/37.80 Y := Y
% 37.43/37.80 Z := Z
% 37.43/37.80 T := X
% 37.43/37.80 end
% 37.43/37.80
% 37.43/37.80 subsumption: (838) {G1,W20,D2,L4,V4,M4} R(43,40);f { ! cyclic( X, Y, Z, X )
% 37.43/37.80 , ! cyclic( X, Y, Z, Y ), ! cyclic( X, Y, Z, T ), cong( X, Y, X, Y ) }.
% 37.43/37.80 parent0: (81576) {G1,W20,D2,L4,V3,M4} { ! cyclic( X, Y, Z, X ), ! cyclic(
% 37.43/37.80 X, Y, Z, Y ), cong( X, Y, X, Y ), ! cyclic( X, Y, Z, X ) }.
% 37.43/37.80 substitution0:
% 37.43/37.80 X := X
% 37.43/37.80 Y := Y
% 37.43/37.80 Z := Z
% 37.43/37.80 end
% 37.43/37.80 permutation0:
% 37.43/37.80 0 ==> 0
% 37.43/37.80 1 ==> 1
% 37.43/37.80 2 ==> 3
% 37.43/37.80 3 ==> 0
% 37.43/37.80 end
% 37.43/37.80
% 37.43/37.80 factor: (81581) {G1,W15,D2,L3,V3,M3} { ! cyclic( X, Y, Z, X ), ! cyclic( X
% 37.43/37.80 , Y, Z, Y ), cong( X, Y, X, Y ) }.
% 37.43/37.80 parent0[0, 2]: (838) {G1,W20,D2,L4,V4,M4} R(43,40);f { ! cyclic( X, Y, Z, X
% 37.43/37.80 ), ! cyclic( X, Y, Z, Y ), ! cyclic( X, Y, Z, T ), cong( X, Y, X, Y )
% 37.43/37.80 }.
% 37.43/37.80 substitution0:
% 37.43/37.80 X := X
% 37.43/37.80 Y := Y
% 37.43/37.80 Z := Z
% 37.43/37.80 T := X
% 37.43/37.80 end
% 37.43/37.80
% 37.43/37.80 subsumption: (870) {G2,W15,D2,L3,V3,M3} F(838) { ! cyclic( X, Y, Z, X ), !
% 37.43/37.80 cyclic( X, Y, Z, Y ), cong( X, Y, X, Y ) }.
% 37.43/37.80 parent0: (81581) {G1,W15,D2,L3,V3,M3} { ! cyclic( X, Y, Z, X ), ! cyclic(
% 37.43/37.80 X, Y, Z, Y ), cong( X, Y, X, Y ) }.
% 37.43/37.80 substitution0:
% 37.43/37.80 X := X
% 37.43/37.80 Y := Y
% 37.43/37.80 Z := Z
% 37.43/37.80 end
% 37.43/37.80 permutation0:
% 37.43/37.80 0 ==> 0
% 37.43/37.80 1 ==> 1
% 37.43/37.80 2 ==> 2
% 37.43/37.80 end
% 37.43/37.80
% 37.43/37.80 resolution: (81584) {G2,W8,D2,L2,V2,M2} { coll( skol20, skol25, X ), !
% 37.43/37.80 coll( skol20, Y, X ) }.
% 37.43/37.80 parent0[0]: (172) {G1,W8,D2,L2,V3,M2} R(1,0) { ! coll( X, Y, Z ), coll( Y,
% 37.43/37.80 Z, X ) }.
% 37.43/37.80 parent1[0]: (818) {G6,W8,D2,L2,V2,M2} R(555,165) { coll( X, skol20, skol25
% 37.43/37.80 ), ! coll( skol20, Y, X ) }.
% 37.43/37.80 substitution0:
% 37.43/37.80 X := X
% 37.43/37.80 Y := skol20
% 37.43/37.80 Z := skol25
% 37.43/37.80 end
% 37.43/37.80 substitution1:
% 37.43/37.80 X := X
% 37.43/37.80 Y := Y
% 37.43/37.80 end
% 37.43/37.80
% 37.43/37.80 subsumption: (872) {G7,W8,D2,L2,V2,M2} R(818,172) { ! coll( skol20, X, Y )
% 37.43/37.80 , coll( skol20, skol25, Y ) }.
% 37.43/37.80 parent0: (81584) {G2,W8,D2,L2,V2,M2} { coll( skol20, skol25, X ), ! coll(
% 37.43/37.80 skol20, Y, X ) }.
% 37.43/37.80 substitution0:
% 37.43/37.80 X := Y
% 37.43/37.80 Y := X
% 37.43/37.80 end
% 37.43/37.80 permutation0:
% 37.43/37.80 0 ==> 1
% 37.43/37.80 1 ==> 0
% 37.43/37.80 end
% 37.43/37.80
% 37.43/37.80 resolution: (81585) {G2,W8,D2,L2,V2,M2} { coll( skol20, skol25, Y ), !
% 37.43/37.80 midp( X, skol20, Y ) }.
% 37.43/37.80 parent0[0]: (872) {G7,W8,D2,L2,V2,M2} R(818,172) { ! coll( skol20, X, Y ),
% 37.43/37.80 coll( skol20, skol25, Y ) }.
% 37.43/37.80 parent1[0]: (174) {G1,W8,D2,L2,V3,M2} R(1,69) { coll( X, Y, Z ), ! midp( Y
% 37.43/37.80 , X, Z ) }.
% 37.43/37.80 substitution0:
% 37.43/37.80 X := X
% 37.43/37.80 Y := Y
% 37.43/37.80 end
% 37.43/37.80 substitution1:
% 37.43/37.80 X := skol20
% 37.43/37.80 Y := X
% 37.43/37.80 Z := Y
% 37.43/37.80 end
% 37.43/37.80
% 37.43/37.80 subsumption: (876) {G8,W8,D2,L2,V2,M2} R(872,174) { coll( skol20, skol25, X
% 37.43/37.80 ), ! midp( Y, skol20, X ) }.
% 37.43/37.80 parent0: (81585) {G2,W8,D2,L2,V2,M2} { coll( skol20, skol25, Y ), ! midp(
% 37.43/37.80 X, skol20, Y ) }.
% 37.43/37.80 substitution0:
% 37.43/37.80 X := Y
% 37.43/37.80 Y := X
% 37.43/37.80 end
% 37.43/37.80 permutation0:
% 37.43/37.80 0 ==> 0
% 37.43/37.80 1 ==> 1
% 37.43/37.80 end
% 37.43/37.80
% 37.43/37.80 resolution: (81586) {G1,W8,D2,L2,V2,M2} { coll( skol25, skol20, X ), !
% 37.43/37.80 midp( Y, skol20, X ) }.
% 37.43/37.80 parent0[0]: (1) {G0,W8,D2,L2,V3,M2} I { ! coll( X, Y, Z ), coll( Y, X, Z )
% 37.43/37.80 }.
% 37.43/37.80 parent1[0]: (876) {G8,W8,D2,L2,V2,M2} R(872,174) { coll( skol20, skol25, X
% 37.43/37.80 ), ! midp( Y, skol20, X ) }.
% 37.43/37.80 substitution0:
% 37.43/37.80 X := skol20
% 37.43/37.80 Y := skol25
% 37.43/37.80 Z := X
% 37.43/37.80 end
% 37.43/37.80 substitution1:
% 37.43/37.80 X := X
% 37.43/37.80 Y := Y
% 37.43/37.80 end
% 37.43/37.80
% 37.43/37.80 subsumption: (889) {G9,W8,D2,L2,V2,M2} R(876,1) { ! midp( X, skol20, Y ),
% 37.43/37.80 coll( skol25, skol20, Y ) }.
% 37.43/37.80 parent0: (81586) {G1,W8,D2,L2,V2,M2} { coll( skol25, skol20, X ), ! midp(
% 37.43/37.80 Y, skol20, X ) }.
% 37.43/37.80 substitution0:
% 37.43/37.80 X := Y
% 37.43/37.80 Y := X
% 37.43/37.80 end
% 37.43/37.80 permutation0:
% 37.43/37.80 0 ==> 1
% 37.43/37.80 1 ==> 0
% 37.43/37.80 end
% 37.43/37.80
% 37.43/37.80 resolution: (81587) {G1,W25,D2,L5,V6,M5} { ! cong( X, T, Z, T ), ! cyclic
% 37.43/37.80 ( X, Z, Y, T ), perp( Y, X, X, T ), ! cong( X, Y, U, W ), ! cong( U, W, Z
% 37.43/37.80 , Y ) }.
% 37.43/37.80 parent0[0]: (57) {G0,W20,D2,L4,V4,M4} I { ! cong( X, Y, T, Y ), ! cong( X,
% 37.43/37.80 Z, T, Z ), ! cyclic( X, T, Y, Z ), perp( Y, X, X, Z ) }.
% 37.43/37.80 parent1[2]: (24) {G0,W15,D2,L3,V6,M3} I { ! cong( X, Y, U, W ), ! cong( U,
% 37.43/37.80 W, Z, T ), cong( X, Y, Z, T ) }.
% 37.43/37.80 substitution0:
% 37.43/37.80 X := X
% 37.43/37.80 Y := Y
% 37.43/37.80 Z := T
% 37.43/37.80 T := Z
% 37.43/37.80 end
% 37.43/37.80 substitution1:
% 37.43/37.80 X := X
% 37.43/37.80 Y := Y
% 37.43/37.80 Z := Z
% 37.43/37.80 T := Y
% 37.43/37.80 U := U
% 37.43/37.80 W := W
% 37.43/37.80 end
% 37.43/37.80
% 37.43/37.80 subsumption: (1509) {G1,W25,D2,L5,V6,M5} R(57,24) { ! cong( X, Y, Z, Y ), !
% 37.43/37.80 cyclic( X, Z, T, Y ), perp( T, X, X, Y ), ! cong( X, T, U, W ), ! cong(
% 37.43/37.80 U, W, Z, T ) }.
% 37.43/37.80 parent0: (81587) {G1,W25,D2,L5,V6,M5} { ! cong( X, T, Z, T ), ! cyclic( X
% 37.43/37.80 , Z, Y, T ), perp( Y, X, X, T ), ! cong( X, Y, U, W ), ! cong( U, W, Z, Y
% 37.43/37.80 ) }.
% 37.43/37.80 substitution0:
% 37.43/37.80 X := X
% 37.43/37.80 Y := T
% 37.43/37.80 Z := Z
% 37.43/37.80 T := Y
% 37.43/37.80 U := U
% 37.43/37.80 W := W
% 37.43/37.80 end
% 37.43/37.80 permutation0:
% 37.43/37.80 0 ==> 0
% 37.43/37.80 1 ==> 1
% 37.43/37.80 2 ==> 2
% 37.43/37.80 3 ==> 3
% 37.43/37.80 4 ==> 4
% 37.43/37.80 end
% 37.43/37.80
% 37.43/37.80 resolution: (81594) {G1,W13,D2,L3,V5,M3} { ! midp( X, Y, Z ), para( Y, T,
% 37.43/37.80 Z, U ), ! midp( X, U, T ) }.
% 37.43/37.80 parent0[1]: (63) {G0,W13,D2,L3,V5,M3} I { ! midp( U, X, Y ), ! midp( U, Z,
% 37.43/37.80 T ), para( X, Z, Y, T ) }.
% 37.43/37.80 parent1[1]: (10) {G0,W8,D2,L2,V3,M2} I { ! midp( Z, Y, X ), midp( Z, X, Y )
% 37.43/37.80 }.
% 37.43/37.80 substitution0:
% 37.43/37.80 X := Y
% 37.43/37.80 Y := Z
% 37.43/37.80 Z := T
% 37.43/37.80 T := U
% 37.43/37.80 U := X
% 37.43/37.80 end
% 37.43/37.80 substitution1:
% 37.43/37.80 X := T
% 37.43/37.80 Y := U
% 37.43/37.80 Z := X
% 37.43/37.80 end
% 37.43/37.80
% 37.43/37.80 subsumption: (1721) {G1,W13,D2,L3,V5,M3} R(63,10) { ! midp( X, Y, Z ), para
% 37.43/37.80 ( Y, T, Z, U ), ! midp( X, U, T ) }.
% 37.43/37.80 parent0: (81594) {G1,W13,D2,L3,V5,M3} { ! midp( X, Y, Z ), para( Y, T, Z,
% 37.43/37.80 U ), ! midp( X, U, T ) }.
% 37.43/37.80 substitution0:
% 37.43/37.80 X := X
% 37.43/37.80 Y := Y
% 37.43/37.80 Z := Z
% 37.43/37.80 T := T
% 37.43/37.80 U := U
% 37.43/37.80 end
% 37.43/37.80 permutation0:
% 37.43/37.80 0 ==> 0
% 37.43/37.80 1 ==> 1
% 37.43/37.80 2 ==> 2
% 37.43/37.80 end
% 37.43/37.80
% 37.43/37.80 factor: (81597) {G1,W9,D2,L2,V3,M2} { ! midp( X, Y, Z ), para( Y, Z, Z, Y
% 37.43/37.80 ) }.
% 37.43/37.80 parent0[0, 2]: (1721) {G1,W13,D2,L3,V5,M3} R(63,10) { ! midp( X, Y, Z ),
% 37.43/37.80 para( Y, T, Z, U ), ! midp( X, U, T ) }.
% 37.43/37.80 substitution0:
% 37.43/37.80 X := X
% 37.43/37.80 Y := Y
% 37.43/37.80 Z := Z
% 37.43/37.80 T := Z
% 37.43/37.80 U := Y
% 37.43/37.80 end
% 37.43/37.80
% 37.43/37.80 subsumption: (1724) {G2,W9,D2,L2,V3,M2} F(1721) { ! midp( X, Y, Z ), para(
% 37.43/37.80 Y, Z, Z, Y ) }.
% 37.43/37.80 parent0: (81597) {G1,W9,D2,L2,V3,M2} { ! midp( X, Y, Z ), para( Y, Z, Z, Y
% 37.43/37.80 ) }.
% 37.43/37.80 substitution0:
% 37.43/37.80 X := X
% 37.43/37.80 Y := Y
% 37.43/37.80 Z := Z
% 37.43/37.80 end
% 37.43/37.80 permutation0:
% 37.43/37.80 0 ==> 0
% 37.43/37.80 1 ==> 1
% 37.43/37.80 end
% 37.43/37.80
% 37.43/37.80 resolution: (81598) {G1,W5,D2,L1,V0,M1} { cong( skol25, skol22, skol25,
% 37.43/37.80 skol20 ) }.
% 37.43/37.80 parent0[0]: (68) {G0,W9,D2,L2,V3,M2} I { ! midp( X, Y, Z ), cong( X, Y, X,
% 37.43/37.80 Z ) }.
% 37.43/37.80 parent1[0]: (116) {G0,W4,D2,L1,V0,M1} I { midp( skol25, skol22, skol20 )
% 37.43/37.80 }.
% 37.43/37.80 substitution0:
% 37.43/37.80 X := skol25
% 37.43/37.80 Y := skol22
% 37.43/37.80 Z := skol20
% 37.43/37.80 end
% 37.43/37.80 substitution1:
% 37.43/37.80 end
% 37.43/37.80
% 37.43/37.80 subsumption: (2276) {G1,W5,D2,L1,V0,M1} R(68,116) { cong( skol25, skol22,
% 37.43/37.80 skol25, skol20 ) }.
% 37.43/37.80 parent0: (81598) {G1,W5,D2,L1,V0,M1} { cong( skol25, skol22, skol25,
% 37.43/37.80 skol20 ) }.
% 37.43/37.80 substitution0:
% 37.43/37.80 end
% 37.43/37.80 permutation0:
% 37.43/37.80 0 ==> 0
% 37.43/37.80 end
% 37.43/37.80
% 37.43/37.80 resolution: (81599) {G2,W5,D2,L1,V0,M1} { circle( skol25, skol22, skol20,
% 37.43/37.80 skol20 ) }.
% 37.43/37.80 parent0[0]: (122) {G1,W10,D2,L2,V3,M2} F(11) { ! cong( X, Y, X, Z ), circle
% 37.43/37.80 ( X, Y, Z, Z ) }.
% 37.43/37.80 parent1[0]: (2276) {G1,W5,D2,L1,V0,M1} R(68,116) { cong( skol25, skol22,
% 37.43/37.80 skol25, skol20 ) }.
% 37.43/37.80 substitution0:
% 37.43/37.80 X := skol25
% 37.43/37.80 Y := skol22
% 37.43/37.80 Z := skol20
% 37.43/37.80 end
% 37.43/37.80 substitution1:
% 37.43/37.80 end
% 37.43/37.80
% 37.43/37.80 subsumption: (6661) {G2,W5,D2,L1,V0,M1} R(122,2276) { circle( skol25,
% 37.43/37.80 skol22, skol20, skol20 ) }.
% 37.43/37.80 parent0: (81599) {G2,W5,D2,L1,V0,M1} { circle( skol25, skol22, skol20,
% 37.43/37.80 skol20 ) }.
% 37.43/37.80 substitution0:
% 37.43/37.80 end
% 37.43/37.80 permutation0:
% 37.43/37.80 0 ==> 0
% 37.43/37.80 end
% 37.43/37.80
% 37.43/37.80 resolution: (81600) {G1,W9,D2,L2,V0,M2} { ! coll( skol25, skol22, skol20 )
% 37.43/37.80 , perp( skol22, skol20, skol20, skol20 ) }.
% 37.43/37.80 parent0[0]: (53) {G0,W14,D2,L3,V4,M3} I { ! circle( T, X, Y, Z ), ! coll( T
% 37.43/37.80 , X, Z ), perp( X, Y, Y, Z ) }.
% 37.43/37.80 parent1[0]: (6661) {G2,W5,D2,L1,V0,M1} R(122,2276) { circle( skol25, skol22
% 37.43/37.80 , skol20, skol20 ) }.
% 37.43/37.80 substitution0:
% 37.43/37.80 X := skol22
% 37.43/37.80 Y := skol20
% 37.43/37.80 Z := skol20
% 37.43/37.80 T := skol25
% 37.43/37.80 end
% 37.43/37.80 substitution1:
% 37.43/37.80 end
% 37.43/37.80
% 37.43/37.80 resolution: (81601) {G2,W5,D2,L1,V0,M1} { perp( skol22, skol20, skol20,
% 37.43/37.80 skol20 ) }.
% 37.43/37.80 parent0[0]: (81600) {G1,W9,D2,L2,V0,M2} { ! coll( skol25, skol22, skol20 )
% 37.43/37.80 , perp( skol22, skol20, skol20, skol20 ) }.
% 37.43/37.80 parent1[0]: (157) {G1,W4,D2,L1,V0,M1} R(69,116) { coll( skol25, skol22,
% 37.43/37.80 skol20 ) }.
% 37.43/37.80 substitution0:
% 37.43/37.80 end
% 37.43/37.80 substitution1:
% 37.43/37.80 end
% 37.43/37.80
% 37.43/37.80 subsumption: (6671) {G3,W5,D2,L1,V0,M1} R(6661,53);r(157) { perp( skol22,
% 37.43/37.80 skol20, skol20, skol20 ) }.
% 37.43/37.80 parent0: (81601) {G2,W5,D2,L1,V0,M1} { perp( skol22, skol20, skol20,
% 37.43/37.80 skol20 ) }.
% 37.43/37.80 substitution0:
% 37.43/37.80 end
% 37.43/37.80 permutation0:
% 37.43/37.80 0 ==> 0
% 37.43/37.80 end
% 37.43/37.80
% 37.43/37.80 resolution: (81602) {G1,W5,D2,L1,V0,M1} { perp( skol20, skol20, skol22,
% 37.43/37.80 skol20 ) }.
% 37.43/37.80 parent0[0]: (7) {G0,W10,D2,L2,V4,M2} I { ! perp( X, Y, Z, T ), perp( Z, T,
% 37.43/37.80 X, Y ) }.
% 37.43/37.80 parent1[0]: (6671) {G3,W5,D2,L1,V0,M1} R(6661,53);r(157) { perp( skol22,
% 37.43/37.80 skol20, skol20, skol20 ) }.
% 37.43/37.80 substitution0:
% 37.43/37.80 X := skol22
% 37.43/37.80 Y := skol20
% 37.43/37.80 Z := skol20
% 37.43/37.80 T := skol20
% 37.43/37.80 end
% 37.43/37.80 substitution1:
% 37.43/37.80 end
% 37.43/37.80
% 37.43/37.80 subsumption: (6693) {G4,W5,D2,L1,V0,M1} R(6671,7) { perp( skol20, skol20,
% 37.43/37.80 skol22, skol20 ) }.
% 37.43/37.80 parent0: (81602) {G1,W5,D2,L1,V0,M1} { perp( skol20, skol20, skol22,
% 37.43/37.80 skol20 ) }.
% 37.43/37.80 substitution0:
% 37.43/37.80 end
% 37.43/37.80 permutation0:
% 37.43/37.80 0 ==> 0
% 37.43/37.80 end
% 37.43/37.80
% 37.43/37.80 resolution: (81603) {G1,W5,D2,L1,V0,M1} { perp( skol20, skol20, skol20,
% 37.43/37.80 skol22 ) }.
% 37.43/37.80 parent0[0]: (6) {G0,W10,D2,L2,V4,M2} I { ! perp( X, Y, Z, T ), perp( X, Y,
% 37.43/37.80 T, Z ) }.
% 37.43/37.80 parent1[0]: (6693) {G4,W5,D2,L1,V0,M1} R(6671,7) { perp( skol20, skol20,
% 37.43/37.80 skol22, skol20 ) }.
% 37.43/37.80 substitution0:
% 37.43/37.80 X := skol20
% 37.43/37.80 Y := skol20
% 37.43/37.80 Z := skol22
% 37.43/37.80 T := skol20
% 37.43/37.80 end
% 37.43/37.80 substitution1:
% 37.43/37.80 end
% 37.43/37.80
% 37.43/37.80 subsumption: (6708) {G5,W5,D2,L1,V0,M1} R(6693,6) { perp( skol20, skol20,
% 37.43/37.80 skol20, skol22 ) }.
% 37.43/37.80 parent0: (81603) {G1,W5,D2,L1,V0,M1} { perp( skol20, skol20, skol20,
% 37.43/37.80 skol22 ) }.
% 37.43/37.80 substitution0:
% 37.43/37.80 end
% 37.43/37.80 permutation0:
% 37.43/37.80 0 ==> 0
% 37.43/37.80 end
% 37.43/37.80
% 37.43/37.80 resolution: (81604) {G1,W12,D3,L2,V2,M2} { ! coll( skol22, X, Y ), perp(
% 37.43/37.80 skol16( skol20, X, Y ), skol20, X, Y ) }.
% 37.43/37.80 parent0[0]: (110) {G0,W17,D3,L3,V5,M3} I { ! perp( X, U, U, T ), ! coll( T
% 37.43/37.80 , Y, Z ), perp( skol16( X, Y, Z ), X, Y, Z ) }.
% 37.43/37.80 parent1[0]: (6708) {G5,W5,D2,L1,V0,M1} R(6693,6) { perp( skol20, skol20,
% 37.43/37.80 skol20, skol22 ) }.
% 37.43/37.80 substitution0:
% 37.43/37.80 X := skol20
% 37.43/37.80 Y := X
% 37.43/37.80 Z := Y
% 37.43/37.80 T := skol22
% 37.43/37.80 U := skol20
% 37.43/37.80 end
% 37.43/37.80 substitution1:
% 37.43/37.80 end
% 37.43/37.80
% 37.43/37.80 subsumption: (6723) {G6,W12,D3,L2,V2,M2} R(6708,110) { ! coll( skol22, X, Y
% 37.43/37.80 ), perp( skol16( skol20, X, Y ), skol20, X, Y ) }.
% 37.43/37.80 parent0: (81604) {G1,W12,D3,L2,V2,M2} { ! coll( skol22, X, Y ), perp(
% 37.43/37.80 skol16( skol20, X, Y ), skol20, X, Y ) }.
% 37.43/37.80 substitution0:
% 37.43/37.80 X := X
% 37.43/37.80 Y := Y
% 37.43/37.80 end
% 37.43/37.80 permutation0:
% 37.43/37.80 0 ==> 0
% 37.43/37.80 1 ==> 1
% 37.43/37.80 end
% 37.43/37.80
% 37.43/37.80 resolution: (81605) {G2,W14,D3,L3,V1,M3} { ! coll( skol20, skol20, skol22
% 37.43/37.80 ), ! coll( skol22, skol20, skol22 ), midp( skol7( skol20, X ), skol20, X
% 37.43/37.80 ) }.
% 37.43/37.80 parent0[0]: (142) {G1,W18,D3,L4,V4,M4} F(88) { ! midp( X, Y, Z ), ! coll( Y
% 37.43/37.80 , Y, Z ), ! coll( Z, Y, Z ), midp( skol7( Y, T ), Y, T ) }.
% 37.43/37.80 parent1[0]: (159) {G1,W4,D2,L1,V0,M1} R(10,116) { midp( skol25, skol20,
% 37.43/37.80 skol22 ) }.
% 37.43/37.80 substitution0:
% 37.43/37.80 X := skol25
% 37.43/37.80 Y := skol20
% 37.43/37.80 Z := skol22
% 37.43/37.80 T := X
% 37.43/37.80 end
% 37.43/37.80 substitution1:
% 37.43/37.80 end
% 37.43/37.80
% 37.43/37.80 resolution: (81606) {G3,W10,D3,L2,V1,M2} { ! coll( skol22, skol20, skol22
% 37.43/37.80 ), midp( skol7( skol20, X ), skol20, X ) }.
% 37.43/37.80 parent0[0]: (81605) {G2,W14,D3,L3,V1,M3} { ! coll( skol20, skol20, skol22
% 37.43/37.80 ), ! coll( skol22, skol20, skol22 ), midp( skol7( skol20, X ), skol20, X
% 37.43/37.80 ) }.
% 37.43/37.80 parent1[0]: (177) {G5,W4,D2,L1,V0,M1} R(175,120) { coll( skol20, skol20,
% 37.43/37.80 skol22 ) }.
% 37.43/37.80 substitution0:
% 37.43/37.80 X := X
% 37.43/37.80 end
% 37.43/37.80 substitution1:
% 37.43/37.80 end
% 37.43/37.80
% 37.43/37.80 subsumption: (7538) {G6,W10,D3,L2,V1,M2} R(142,159);r(177) { ! coll( skol22
% 37.43/37.80 , skol20, skol22 ), midp( skol7( skol20, X ), skol20, X ) }.
% 37.43/37.80 parent0: (81606) {G3,W10,D3,L2,V1,M2} { ! coll( skol22, skol20, skol22 ),
% 37.43/37.80 midp( skol7( skol20, X ), skol20, X ) }.
% 37.43/37.80 substitution0:
% 37.43/37.80 X := X
% 37.43/37.80 end
% 37.43/37.80 permutation0:
% 37.43/37.80 0 ==> 0
% 37.43/37.80 1 ==> 1
% 37.43/37.80 end
% 37.43/37.80
% 37.43/37.80 resolution: (81607) {G1,W14,D3,L3,V1,M3} { ! coll( skol22, skol22, skol20
% 37.43/37.80 ), ! coll( skol20, skol22, skol20 ), midp( skol7( skol22, X ), skol22, X
% 37.43/37.80 ) }.
% 37.43/37.80 parent0[0]: (142) {G1,W18,D3,L4,V4,M4} F(88) { ! midp( X, Y, Z ), ! coll( Y
% 37.43/37.80 , Y, Z ), ! coll( Z, Y, Z ), midp( skol7( Y, T ), Y, T ) }.
% 37.43/37.80 parent1[0]: (116) {G0,W4,D2,L1,V0,M1} I { midp( skol25, skol22, skol20 )
% 37.43/37.80 }.
% 37.43/37.80 substitution0:
% 37.43/37.80 X := skol25
% 37.43/37.80 Y := skol22
% 37.43/37.80 Z := skol20
% 37.43/37.80 T := X
% 37.43/37.80 end
% 37.43/37.80 substitution1:
% 37.43/37.80 end
% 37.43/37.80
% 37.43/37.80 resolution: (81608) {G2,W10,D3,L2,V1,M2} { ! coll( skol20, skol22, skol20
% 37.43/37.80 ), midp( skol7( skol22, X ), skol22, X ) }.
% 37.43/37.80 parent0[0]: (81607) {G1,W14,D3,L3,V1,M3} { ! coll( skol22, skol22, skol20
% 37.43/37.80 ), ! coll( skol20, skol22, skol20 ), midp( skol7( skol22, X ), skol22, X
% 37.43/37.80 ) }.
% 37.43/37.80 parent1[0]: (175) {G4,W4,D2,L1,V0,M1} R(170,120) { coll( skol22, skol22,
% 37.43/37.80 skol20 ) }.
% 37.43/37.80 substitution0:
% 37.43/37.80 X := X
% 37.43/37.80 end
% 37.43/37.80 substitution1:
% 37.43/37.80 end
% 37.43/37.80
% 37.43/37.80 subsumption: (7539) {G5,W10,D3,L2,V1,M2} R(142,116);r(175) { ! coll( skol20
% 37.43/37.80 , skol22, skol20 ), midp( skol7( skol22, X ), skol22, X ) }.
% 37.43/37.80 parent0: (81608) {G2,W10,D3,L2,V1,M2} { ! coll( skol20, skol22, skol20 ),
% 37.43/37.80 midp( skol7( skol22, X ), skol22, X ) }.
% 37.43/37.80 substitution0:
% 37.43/37.80 X := X
% 37.43/37.80 end
% 37.43/37.80 permutation0:
% 37.43/37.80 0 ==> 0
% 37.43/37.80 1 ==> 1
% 37.43/37.80 end
% 37.43/37.80
% 37.43/37.80 resolution: (81609) {G6,W6,D3,L1,V1,M1} { midp( skol7( skol20, X ), skol20
% 37.43/37.80 , X ) }.
% 37.43/37.80 parent0[0]: (7538) {G6,W10,D3,L2,V1,M2} R(142,159);r(177) { ! coll( skol22
% 37.43/37.80 , skol20, skol22 ), midp( skol7( skol20, X ), skol20, X ) }.
% 37.43/37.80 parent1[0]: (178) {G5,W4,D2,L1,V0,M1} R(175,0) { coll( skol22, skol20,
% 37.43/37.80 skol22 ) }.
% 37.43/37.80 substitution0:
% 37.43/37.80 X := X
% 37.43/37.80 end
% 37.43/37.80 substitution1:
% 37.43/37.80 end
% 37.43/37.80
% 37.43/37.80 subsumption: (20086) {G7,W6,D3,L1,V1,M1} S(7538);r(178) { midp( skol7(
% 37.43/37.80 skol20, X ), skol20, X ) }.
% 37.43/37.80 parent0: (81609) {G6,W6,D3,L1,V1,M1} { midp( skol7( skol20, X ), skol20, X
% 37.43/37.80 ) }.
% 37.43/37.80 substitution0:
% 37.43/37.80 X := X
% 37.43/37.80 end
% 37.43/37.80 permutation0:
% 37.43/37.80 0 ==> 0
% 37.43/37.80 end
% 37.43/37.80
% 37.43/37.80 resolution: (81610) {G6,W6,D3,L1,V1,M1} { midp( skol7( skol22, X ), skol22
% 37.43/37.80 , X ) }.
% 37.43/37.80 parent0[0]: (7539) {G5,W10,D3,L2,V1,M2} R(142,116);r(175) { ! coll( skol20
% 37.43/37.80 , skol22, skol20 ), midp( skol7( skol22, X ), skol22, X ) }.
% 37.43/37.80 parent1[0]: (179) {G6,W4,D2,L1,V0,M1} R(177,0) { coll( skol20, skol22,
% 37.43/37.80 skol20 ) }.
% 37.43/37.80 substitution0:
% 37.43/37.80 X := X
% 37.43/37.80 end
% 37.43/37.80 substitution1:
% 37.43/37.80 end
% 37.43/37.80
% 37.43/37.80 subsumption: (20087) {G7,W6,D3,L1,V1,M1} S(7539);r(179) { midp( skol7(
% 37.43/37.80 skol22, X ), skol22, X ) }.
% 37.43/37.80 parent0: (81610) {G6,W6,D3,L1,V1,M1} { midp( skol7( skol22, X ), skol22, X
% 37.43/37.80 ) }.
% 37.43/37.80 substitution0:
% 37.43/37.80 X := X
% 37.43/37.80 end
% 37.43/37.80 permutation0:
% 37.43/37.80 0 ==> 0
% 37.43/37.80 end
% 37.43/37.80
% 37.43/37.80 resolution: (81611) {G5,W4,D2,L1,V1,M1} { coll( skol25, X, skol20 ) }.
% 37.43/37.80 parent0[1]: (455) {G4,W8,D2,L2,V2,M2} R(257,308) { coll( skol25, X, skol20
% 37.43/37.80 ), ! midp( Y, skol20, X ) }.
% 37.43/37.80 parent1[0]: (20086) {G7,W6,D3,L1,V1,M1} S(7538);r(178) { midp( skol7(
% 37.43/37.80 skol20, X ), skol20, X ) }.
% 37.43/37.80 substitution0:
% 37.43/37.80 X := X
% 37.43/37.80 Y := skol7( skol20, X )
% 37.43/37.80 end
% 37.43/37.80 substitution1:
% 37.43/37.80 X := X
% 37.43/37.80 end
% 37.43/37.80
% 37.43/37.80 subsumption: (20127) {G8,W4,D2,L1,V1,M1} R(20086,455) { coll( skol25, X,
% 37.43/37.80 skol20 ) }.
% 37.43/37.80 parent0: (81611) {G5,W4,D2,L1,V1,M1} { coll( skol25, X, skol20 ) }.
% 37.43/37.80 substitution0:
% 37.43/37.80 X := X
% 37.43/37.80 end
% 37.43/37.80 permutation0:
% 37.43/37.80 0 ==> 0
% 37.43/37.80 end
% 37.43/37.80
% 37.43/37.80 resolution: (81612) {G8,W4,D2,L1,V1,M1} { coll( skol25, skol20, X ) }.
% 37.43/37.80 parent0[0]: (889) {G9,W8,D2,L2,V2,M2} R(876,1) { ! midp( X, skol20, Y ),
% 37.43/37.80 coll( skol25, skol20, Y ) }.
% 37.43/37.80 parent1[0]: (20086) {G7,W6,D3,L1,V1,M1} S(7538);r(178) { midp( skol7(
% 37.43/37.80 skol20, X ), skol20, X ) }.
% 37.43/37.80 substitution0:
% 37.43/37.80 X := skol7( skol20, X )
% 37.43/37.80 Y := X
% 37.43/37.80 end
% 37.43/37.80 substitution1:
% 37.43/37.80 X := X
% 37.43/37.80 end
% 37.43/37.80
% 37.43/37.80 subsumption: (20143) {G10,W4,D2,L1,V1,M1} R(20086,889) { coll( skol25,
% 37.43/37.80 skol20, X ) }.
% 37.43/37.80 parent0: (81612) {G8,W4,D2,L1,V1,M1} { coll( skol25, skol20, X ) }.
% 37.43/37.80 substitution0:
% 37.43/37.80 X := X
% 37.43/37.80 end
% 37.43/37.80 permutation0:
% 37.43/37.80 0 ==> 0
% 37.43/37.80 end
% 37.43/37.80
% 37.43/37.80 resolution: (81614) {G2,W8,D2,L2,V2,M2} { ! coll( skol25, skol20, X ),
% 37.43/37.80 coll( X, Y, skol25 ) }.
% 37.43/37.80 parent0[2]: (201) {G1,W12,D2,L3,V4,M3} R(2,0) { ! coll( X, Y, Z ), coll( Z
% 37.43/37.80 , T, X ), ! coll( X, T, Y ) }.
% 37.43/37.80 parent1[0]: (20127) {G8,W4,D2,L1,V1,M1} R(20086,455) { coll( skol25, X,
% 37.43/37.80 skol20 ) }.
% 37.43/37.80 substitution0:
% 37.43/37.80 X := skol25
% 37.43/37.80 Y := skol20
% 37.43/37.80 Z := X
% 37.43/37.80 T := Y
% 37.43/37.80 end
% 37.43/37.80 substitution1:
% 37.43/37.80 X := Y
% 37.43/37.80 end
% 37.43/37.80
% 37.43/37.80 resolution: (81615) {G3,W4,D2,L1,V2,M1} { coll( X, Y, skol25 ) }.
% 37.43/37.80 parent0[0]: (81614) {G2,W8,D2,L2,V2,M2} { ! coll( skol25, skol20, X ),
% 37.43/37.80 coll( X, Y, skol25 ) }.
% 37.43/37.80 parent1[0]: (20143) {G10,W4,D2,L1,V1,M1} R(20086,889) { coll( skol25,
% 37.43/37.80 skol20, X ) }.
% 37.43/37.80 substitution0:
% 37.43/37.80 X := X
% 37.43/37.80 Y := Y
% 37.43/37.80 end
% 37.43/37.80 substitution1:
% 37.43/37.80 X := X
% 37.43/37.80 end
% 37.43/37.80
% 37.43/37.80 subsumption: (20177) {G11,W4,D2,L1,V2,M1} R(20127,201);r(20143) { coll( X,
% 37.43/37.80 Y, skol25 ) }.
% 37.43/37.80 parent0: (81615) {G3,W4,D2,L1,V2,M1} { coll( X, Y, skol25 ) }.
% 37.43/37.80 substitution0:
% 37.43/37.80 X := X
% 37.43/37.80 Y := Y
% 37.43/37.80 end
% 37.43/37.80 permutation0:
% 37.43/37.80 0 ==> 0
% 37.43/37.80 end
% 37.43/37.80
% 37.43/37.80 resolution: (81616) {G3,W4,D2,L1,V2,M1} { coll( X, X, Y ) }.
% 37.43/37.80 parent0[1]: (164) {G2,W8,D2,L2,V3,M2} R(120,0) { coll( X, X, Y ), ! coll( Y
% 37.43/37.80 , X, Z ) }.
% 37.43/37.80 parent1[0]: (20177) {G11,W4,D2,L1,V2,M1} R(20127,201);r(20143) { coll( X, Y
% 37.43/37.80 , skol25 ) }.
% 37.43/37.80 substitution0:
% 37.43/37.80 X := X
% 37.43/37.80 Y := Y
% 37.43/37.80 Z := skol25
% 37.43/37.80 end
% 37.43/37.80 substitution1:
% 37.43/37.80 X := Y
% 37.43/37.80 Y := X
% 37.43/37.80 end
% 37.43/37.80
% 37.43/37.80 subsumption: (20214) {G12,W4,D2,L1,V2,M1} R(20177,164) { coll( X, X, Y )
% 37.43/37.80 }.
% 37.43/37.80 parent0: (81616) {G3,W4,D2,L1,V2,M1} { coll( X, X, Y ) }.
% 37.43/37.80 substitution0:
% 37.43/37.80 X := X
% 37.43/37.80 Y := Y
% 37.43/37.80 end
% 37.43/37.80 permutation0:
% 37.43/37.80 0 ==> 0
% 37.43/37.80 end
% 37.43/37.80
% 37.43/37.80 resolution: (81617) {G12,W8,D2,L2,V3,M2} { coll( X, Y, Z ), ! coll( X, X,
% 37.43/37.80 Y ) }.
% 37.43/37.80 parent0[1]: (357) {G11,W12,D2,L3,V4,M3} R(355,2) { coll( X, Y, Z ), ! coll
% 37.43/37.80 ( X, T, Z ), ! coll( X, T, Y ) }.
% 37.43/37.80 parent1[0]: (20214) {G12,W4,D2,L1,V2,M1} R(20177,164) { coll( X, X, Y ) }.
% 37.43/37.80 substitution0:
% 37.43/37.80 X := X
% 37.43/37.80 Y := Y
% 37.43/37.80 Z := Z
% 37.43/37.80 T := X
% 37.43/37.80 end
% 37.43/37.80 substitution1:
% 37.43/37.80 X := X
% 37.43/37.80 Y := Z
% 37.43/37.80 end
% 37.43/37.80
% 37.43/37.80 resolution: (81619) {G13,W4,D2,L1,V3,M1} { coll( X, Y, Z ) }.
% 37.43/37.80 parent0[1]: (81617) {G12,W8,D2,L2,V3,M2} { coll( X, Y, Z ), ! coll( X, X,
% 37.43/37.80 Y ) }.
% 37.43/37.80 parent1[0]: (20214) {G12,W4,D2,L1,V2,M1} R(20177,164) { coll( X, X, Y ) }.
% 37.43/37.80 substitution0:
% 37.43/37.80 X := X
% 37.43/37.80 Y := Y
% 37.43/37.80 Z := Z
% 37.43/37.80 end
% 37.43/37.80 substitution1:
% 37.43/37.80 X := X
% 37.43/37.80 Y := Y
% 37.43/37.80 end
% 37.43/37.80
% 37.43/37.80 subsumption: (20219) {G13,W4,D2,L1,V3,M1} R(20214,357);r(20214) { coll( X,
% 37.43/37.80 Y, Z ) }.
% 37.43/37.80 parent0: (81619) {G13,W4,D2,L1,V3,M1} { coll( X, Y, Z ) }.
% 37.43/37.80 substitution0:
% 37.43/37.80 X := X
% 37.43/37.80 Y := Y
% 37.43/37.80 Z := Z
% 37.43/37.80 end
% 37.43/37.80 permutation0:
% 37.43/37.80 0 ==> 0
% 37.43/37.80 end
% 37.43/37.80
% 37.43/37.80 resolution: (81620) {G1,W6,D3,L1,V1,M1} { midp( skol7( skol22, X ), X,
% 37.43/37.80 skol22 ) }.
% 37.43/37.80 parent0[0]: (10) {G0,W8,D2,L2,V3,M2} I { ! midp( Z, Y, X ), midp( Z, X, Y )
% 37.43/37.80 }.
% 37.43/37.80 parent1[0]: (20087) {G7,W6,D3,L1,V1,M1} S(7539);r(179) { midp( skol7(
% 37.43/37.80 skol22, X ), skol22, X ) }.
% 37.43/37.80 substitution0:
% 37.43/37.80 X := X
% 37.43/37.80 Y := skol22
% 37.43/37.80 Z := skol7( skol22, X )
% 37.43/37.80 end
% 37.43/37.80 substitution1:
% 37.43/37.80 X := X
% 37.43/37.80 end
% 37.43/37.80
% 37.43/37.80 subsumption: (20407) {G8,W6,D3,L1,V1,M1} R(20087,10) { midp( skol7( skol22
% 37.43/37.80 , X ), X, skol22 ) }.
% 37.43/37.80 parent0: (81620) {G1,W6,D3,L1,V1,M1} { midp( skol7( skol22, X ), X, skol22
% 37.43/37.80 ) }.
% 37.43/37.80 substitution0:
% 37.43/37.80 X := X
% 37.43/37.80 end
% 37.43/37.80 permutation0:
% 37.43/37.80 0 ==> 0
% 37.43/37.80 end
% 37.43/37.80
% 37.43/37.80 resolution: (81621) {G2,W14,D3,L3,V2,M3} { ! coll( X, X, skol22 ), ! coll
% 37.43/37.80 ( skol22, X, skol22 ), midp( skol7( X, Y ), X, Y ) }.
% 37.43/37.80 parent0[0]: (142) {G1,W18,D3,L4,V4,M4} F(88) { ! midp( X, Y, Z ), ! coll( Y
% 37.43/37.80 , Y, Z ), ! coll( Z, Y, Z ), midp( skol7( Y, T ), Y, T ) }.
% 37.43/37.80 parent1[0]: (20407) {G8,W6,D3,L1,V1,M1} R(20087,10) { midp( skol7( skol22,
% 37.43/37.80 X ), X, skol22 ) }.
% 37.43/37.80 substitution0:
% 37.43/37.80 X := skol7( skol22, X )
% 37.43/37.80 Y := X
% 37.43/37.80 Z := skol22
% 37.43/37.80 T := Y
% 37.43/37.80 end
% 37.43/37.80 substitution1:
% 37.43/37.80 X := X
% 37.43/37.80 end
% 37.43/37.80
% 37.43/37.80 resolution: (81624) {G3,W10,D3,L2,V2,M2} { ! coll( skol22, X, skol22 ),
% 37.43/37.80 midp( skol7( X, Y ), X, Y ) }.
% 37.43/37.80 parent0[0]: (81621) {G2,W14,D3,L3,V2,M3} { ! coll( X, X, skol22 ), ! coll
% 37.43/37.80 ( skol22, X, skol22 ), midp( skol7( X, Y ), X, Y ) }.
% 37.43/37.80 parent1[0]: (20219) {G13,W4,D2,L1,V3,M1} R(20214,357);r(20214) { coll( X, Y
% 37.43/37.80 , Z ) }.
% 37.43/37.80 substitution0:
% 37.43/37.80 X := X
% 37.43/37.80 Y := Y
% 37.43/37.80 end
% 37.43/37.80 substitution1:
% 37.43/37.80 X := X
% 37.43/37.80 Y := X
% 37.43/37.80 Z := skol22
% 37.43/37.80 end
% 37.43/37.80
% 37.43/37.80 subsumption: (20451) {G14,W10,D3,L2,V2,M2} R(20407,142);r(20219) { ! coll(
% 37.43/37.80 skol22, X, skol22 ), midp( skol7( X, Y ), X, Y ) }.
% 37.43/37.80 parent0: (81624) {G3,W10,D3,L2,V2,M2} { ! coll( skol22, X, skol22 ), midp
% 37.43/37.80 ( skol7( X, Y ), X, Y ) }.
% 37.43/37.80 substitution0:
% 37.43/37.80 X := X
% 37.43/37.80 Y := Y
% 37.43/37.80 end
% 37.43/37.80 permutation0:
% 37.43/37.80 0 ==> 0
% 37.43/37.80 1 ==> 1
% 37.43/37.80 end
% 37.43/37.80
% 37.43/37.80 resolution: (81626) {G2,W10,D2,L2,V3,M2} { cyclic( Z, Y, X, X ), ! para( X
% 37.43/37.80 , Z, X, Z ) }.
% 37.43/37.80 parent0[0]: (769) {G1,W14,D2,L3,V3,M3} R(42,39) { ! coll( X, X, Y ), cyclic
% 37.43/37.80 ( Z, Y, X, X ), ! para( X, Z, X, Z ) }.
% 37.43/37.80 parent1[0]: (20219) {G13,W4,D2,L1,V3,M1} R(20214,357);r(20214) { coll( X, Y
% 37.43/37.80 , Z ) }.
% 37.43/37.80 substitution0:
% 37.43/37.80 X := X
% 37.43/37.80 Y := Y
% 37.43/37.80 Z := Z
% 37.43/37.80 end
% 37.43/37.80 substitution1:
% 37.43/37.80 X := X
% 37.43/37.80 Y := X
% 37.43/37.80 Z := Y
% 37.43/37.80 end
% 37.43/37.80
% 37.43/37.80 subsumption: (28811) {G14,W10,D2,L2,V3,M2} S(769);r(20219) { cyclic( Z, Y,
% 37.43/37.80 X, X ), ! para( X, Z, X, Z ) }.
% 37.43/37.80 parent0: (81626) {G2,W10,D2,L2,V3,M2} { cyclic( Z, Y, X, X ), ! para( X, Z
% 37.43/37.80 , X, Z ) }.
% 37.43/37.80 substitution0:
% 37.43/37.80 X := X
% 37.43/37.80 Y := Y
% 37.43/37.80 Z := Z
% 37.43/37.80 end
% 37.43/37.80 permutation0:
% 37.43/37.80 0 ==> 0
% 37.43/37.80 1 ==> 1
% 37.43/37.80 end
% 37.43/37.80
% 37.43/37.80 resolution: (81627) {G14,W6,D3,L1,V2,M1} { midp( skol7( X, Y ), X, Y ) }.
% 37.43/37.80 parent0[0]: (20451) {G14,W10,D3,L2,V2,M2} R(20407,142);r(20219) { ! coll(
% 37.43/37.80 skol22, X, skol22 ), midp( skol7( X, Y ), X, Y ) }.
% 37.43/37.80 parent1[0]: (20219) {G13,W4,D2,L1,V3,M1} R(20214,357);r(20214) { coll( X, Y
% 37.43/37.80 , Z ) }.
% 37.43/37.80 substitution0:
% 37.43/37.80 X := X
% 37.43/37.80 Y := Y
% 37.43/37.80 end
% 37.43/37.80 substitution1:
% 37.43/37.80 X := skol22
% 37.43/37.80 Y := X
% 37.43/37.80 Z := skol22
% 37.43/37.80 end
% 37.43/37.80
% 37.43/37.80 subsumption: (40111) {G15,W6,D3,L1,V2,M1} S(20451);r(20219) { midp( skol7(
% 37.43/37.80 X, Y ), X, Y ) }.
% 37.43/37.80 parent0: (81627) {G14,W6,D3,L1,V2,M1} { midp( skol7( X, Y ), X, Y ) }.
% 37.43/37.80 substitution0:
% 37.43/37.80 X := X
% 37.43/37.80 Y := Y
% 37.43/37.80 end
% 37.43/37.80 permutation0:
% 37.43/37.80 0 ==> 0
% 37.43/37.80 end
% 37.43/37.80
% 37.43/37.80 resolution: (81628) {G7,W8,D3,L1,V2,M1} { perp( skol16( skol20, X, Y ),
% 37.43/37.80 skol20, X, Y ) }.
% 37.43/37.80 parent0[0]: (6723) {G6,W12,D3,L2,V2,M2} R(6708,110) { ! coll( skol22, X, Y
% 37.43/37.80 ), perp( skol16( skol20, X, Y ), skol20, X, Y ) }.
% 37.43/37.80 parent1[0]: (20219) {G13,W4,D2,L1,V3,M1} R(20214,357);r(20214) { coll( X, Y
% 37.43/37.80 , Z ) }.
% 37.43/37.80 substitution0:
% 37.43/37.80 X := X
% 37.43/37.80 Y := Y
% 37.43/37.80 end
% 37.43/37.80 substitution1:
% 37.43/37.80 X := skol22
% 37.43/37.80 Y := X
% 37.43/37.80 Z := Y
% 37.43/37.80 end
% 37.43/37.80
% 37.43/37.80 subsumption: (40169) {G14,W8,D3,L1,V2,M1} S(6723);r(20219) { perp( skol16(
% 37.43/37.80 skol20, X, Y ), skol20, X, Y ) }.
% 37.43/37.80 parent0: (81628) {G7,W8,D3,L1,V2,M1} { perp( skol16( skol20, X, Y ),
% 37.43/37.80 skol20, X, Y ) }.
% 37.43/37.80 substitution0:
% 37.43/37.80 X := X
% 37.43/37.80 Y := Y
% 37.43/37.80 end
% 37.43/37.80 permutation0:
% 37.43/37.80 0 ==> 0
% 37.43/37.80 end
% 37.43/37.80
% 37.43/37.80 resolution: (81629) {G1,W6,D3,L1,V2,M1} { midp( skol7( X, Y ), Y, X ) }.
% 37.43/37.80 parent0[0]: (10) {G0,W8,D2,L2,V3,M2} I { ! midp( Z, Y, X ), midp( Z, X, Y )
% 37.43/37.80 }.
% 37.43/37.80 parent1[0]: (40111) {G15,W6,D3,L1,V2,M1} S(20451);r(20219) { midp( skol7( X
% 37.43/37.80 , Y ), X, Y ) }.
% 37.43/37.80 substitution0:
% 37.43/37.80 X := Y
% 37.43/37.80 Y := X
% 37.43/37.80 Z := skol7( X, Y )
% 37.43/37.80 end
% 37.43/37.80 substitution1:
% 37.43/37.80 X := X
% 37.43/37.80 Y := Y
% 37.43/37.80 end
% 37.43/37.80
% 37.43/37.80 subsumption: (40893) {G16,W6,D3,L1,V2,M1} R(40111,10) { midp( skol7( X, Y )
% 37.43/37.80 , Y, X ) }.
% 37.43/37.80 parent0: (81629) {G1,W6,D3,L1,V2,M1} { midp( skol7( X, Y ), Y, X ) }.
% 37.43/37.80 substitution0:
% 37.43/37.80 X := X
% 37.43/37.80 Y := Y
% 37.43/37.80 end
% 37.43/37.80 permutation0:
% 37.43/37.80 0 ==> 0
% 37.43/37.80 end
% 37.43/37.80
% 37.43/37.80 resolution: (81630) {G2,W8,D3,L1,V2,M1} { perp( X, Y, skol20, skol16(
% 37.43/37.80 skol20, X, Y ) ) }.
% 37.43/37.80 parent0[0]: (264) {G1,W10,D2,L2,V4,M2} R(7,6) { ! perp( X, Y, Z, T ), perp
% 37.43/37.80 ( Z, T, Y, X ) }.
% 37.43/37.80 parent1[0]: (40169) {G14,W8,D3,L1,V2,M1} S(6723);r(20219) { perp( skol16(
% 37.43/37.80 skol20, X, Y ), skol20, X, Y ) }.
% 37.43/37.80 substitution0:
% 37.43/37.80 X := skol16( skol20, X, Y )
% 37.43/37.80 Y := skol20
% 37.43/37.80 Z := X
% 37.43/37.80 T := Y
% 37.43/37.80 end
% 37.43/37.80 substitution1:
% 37.43/37.80 X := X
% 37.43/37.80 Y := Y
% 37.43/37.80 end
% 37.43/37.80
% 37.43/37.80 subsumption: (54273) {G15,W8,D3,L1,V2,M1} R(40169,264) { perp( X, Y, skol20
% 37.43/37.80 , skol16( skol20, X, Y ) ) }.
% 37.43/37.80 parent0: (81630) {G2,W8,D3,L1,V2,M1} { perp( X, Y, skol20, skol16( skol20
% 37.43/37.80 , X, Y ) ) }.
% 37.43/37.80 substitution0:
% 37.43/37.80 X := X
% 37.43/37.80 Y := Y
% 37.43/37.80 end
% 37.43/37.80 permutation0:
% 37.43/37.80 0 ==> 0
% 37.43/37.80 end
% 37.43/37.80
% 37.43/37.80 resolution: (81631) {G2,W8,D3,L1,V2,M1} { perp( skol20, skol16( skol20, X
% 37.43/37.80 , Y ), Y, X ) }.
% 37.43/37.80 parent0[0]: (264) {G1,W10,D2,L2,V4,M2} R(7,6) { ! perp( X, Y, Z, T ), perp
% 37.43/37.80 ( Z, T, Y, X ) }.
% 37.43/37.80 parent1[0]: (54273) {G15,W8,D3,L1,V2,M1} R(40169,264) { perp( X, Y, skol20
% 37.43/37.80 , skol16( skol20, X, Y ) ) }.
% 37.43/37.80 substitution0:
% 37.43/37.80 X := X
% 37.43/37.80 Y := Y
% 37.43/37.80 Z := skol20
% 37.43/37.80 T := skol16( skol20, X, Y )
% 37.43/37.80 end
% 37.43/37.80 substitution1:
% 37.43/37.80 X := X
% 37.43/37.80 Y := Y
% 37.43/37.80 end
% 37.43/37.80
% 37.43/37.80 subsumption: (54394) {G16,W8,D3,L1,V2,M1} R(54273,264) { perp( skol20,
% 37.43/37.80 skol16( skol20, X, Y ), Y, X ) }.
% 37.43/37.80 parent0: (81631) {G2,W8,D3,L1,V2,M1} { perp( skol20, skol16( skol20, X, Y
% 37.43/37.80 ), Y, X ) }.
% 37.43/37.80 substitution0:
% 37.43/37.80 X := X
% 37.43/37.80 Y := Y
% 37.43/37.80 end
% 37.43/37.80 permutation0:
% 37.43/37.80 0 ==> 0
% 37.43/37.80 end
% 37.43/37.80
% 37.43/37.80 resolution: (81632) {G7,W8,D3,L1,V0,M1} { ! perp( skol22, skol20, skol20,
% 37.43/37.80 skol16( skol20, skol23, skol24 ) ) }.
% 37.43/37.80 parent0[1]: (290) {G6,W10,D2,L2,V2,M2} R(289,8) { ! perp( skol22, skol20, X
% 37.43/37.80 , Y ), ! perp( X, Y, skol24, skol23 ) }.
% 37.43/37.80 parent1[0]: (54394) {G16,W8,D3,L1,V2,M1} R(54273,264) { perp( skol20,
% 37.43/37.80 skol16( skol20, X, Y ), Y, X ) }.
% 37.43/37.80 substitution0:
% 37.43/37.80 X := skol20
% 37.43/37.80 Y := skol16( skol20, skol23, skol24 )
% 37.43/37.80 end
% 37.43/37.80 substitution1:
% 37.43/37.80 X := skol23
% 37.43/37.80 Y := skol24
% 37.43/37.80 end
% 37.43/37.80
% 37.43/37.80 subsumption: (54412) {G17,W8,D3,L1,V0,M1} R(54394,290) { ! perp( skol22,
% 37.43/37.80 skol20, skol20, skol16( skol20, skol23, skol24 ) ) }.
% 37.43/37.80 parent0: (81632) {G7,W8,D3,L1,V0,M1} { ! perp( skol22, skol20, skol20,
% 37.43/37.80 skol16( skol20, skol23, skol24 ) ) }.
% 37.43/37.80 substitution0:
% 37.43/37.80 end
% 37.43/37.80 permutation0:
% 37.43/37.80 0 ==> 0
% 37.43/37.80 end
% 37.43/37.80
% 37.43/37.80 resolution: (81633) {G3,W5,D2,L1,V2,M1} { para( Y, X, X, Y ) }.
% 37.43/37.80 parent0[0]: (1724) {G2,W9,D2,L2,V3,M2} F(1721) { ! midp( X, Y, Z ), para( Y
% 37.43/37.80 , Z, Z, Y ) }.
% 37.43/37.80 parent1[0]: (40893) {G16,W6,D3,L1,V2,M1} R(40111,10) { midp( skol7( X, Y )
% 37.43/37.80 , Y, X ) }.
% 37.43/37.80 substitution0:
% 37.43/37.80 X := skol7( X, Y )
% 37.43/37.80 Y := Y
% 37.43/37.80 Z := X
% 37.43/37.80 end
% 37.43/37.80 substitution1:
% 37.43/37.80 X := X
% 37.43/37.80 Y := Y
% 37.43/37.80 end
% 37.43/37.80
% 37.43/37.80 subsumption: (66320) {G17,W5,D2,L1,V2,M1} R(1724,40893) { para( X, Y, Y, X
% 37.43/37.80 ) }.
% 37.43/37.80 parent0: (81633) {G3,W5,D2,L1,V2,M1} { para( Y, X, X, Y ) }.
% 37.43/37.80 substitution0:
% 37.43/37.80 X := Y
% 37.43/37.80 Y := X
% 37.43/37.80 end
% 37.43/37.80 permutation0:
% 37.43/37.80 0 ==> 0
% 37.43/37.80 end
% 37.43/37.80
% 37.43/37.80 resolution: (81634) {G2,W5,D2,L1,V2,M1} { para( Y, X, Y, X ) }.
% 37.43/37.80 parent0[0]: (225) {G1,W10,D2,L2,V4,M2} R(4,3) { ! para( X, Y, Z, T ), para
% 37.43/37.80 ( Z, T, Y, X ) }.
% 37.43/37.80 parent1[0]: (66320) {G17,W5,D2,L1,V2,M1} R(1724,40893) { para( X, Y, Y, X )
% 37.43/37.80 }.
% 37.43/37.80 substitution0:
% 37.43/37.80 X := X
% 37.43/37.80 Y := Y
% 37.43/37.80 Z := Y
% 37.43/37.80 T := X
% 37.43/37.80 end
% 37.43/37.80 substitution1:
% 37.43/37.80 X := X
% 37.43/37.80 Y := Y
% 37.43/37.80 end
% 37.43/37.80
% 37.43/37.80 subsumption: (66333) {G18,W5,D2,L1,V2,M1} R(66320,225) { para( X, Y, X, Y )
% 37.43/37.80 }.
% 37.43/37.80 parent0: (81634) {G2,W5,D2,L1,V2,M1} { para( Y, X, Y, X ) }.
% 37.43/37.80 substitution0:
% 37.43/37.80 X := Y
% 37.43/37.80 Y := X
% 37.43/37.80 end
% 37.43/37.80 permutation0:
% 37.43/37.80 0 ==> 0
% 37.43/37.80 end
% 37.43/37.80
% 37.43/37.80 resolution: (81635) {G15,W5,D2,L1,V3,M1} { cyclic( X, Y, Z, Z ) }.
% 37.43/37.80 parent0[1]: (28811) {G14,W10,D2,L2,V3,M2} S(769);r(20219) { cyclic( Z, Y, X
% 37.43/37.80 , X ), ! para( X, Z, X, Z ) }.
% 37.43/37.80 parent1[0]: (66333) {G18,W5,D2,L1,V2,M1} R(66320,225) { para( X, Y, X, Y )
% 37.43/37.80 }.
% 37.43/37.80 substitution0:
% 37.43/37.80 X := Z
% 37.43/37.80 Y := Y
% 37.43/37.80 Z := X
% 37.43/37.80 end
% 37.43/37.80 substitution1:
% 37.43/37.80 X := Z
% 37.43/37.80 Y := X
% 37.43/37.80 end
% 37.43/37.80
% 37.43/37.80 subsumption: (80781) {G19,W5,D2,L1,V3,M1} S(28811);r(66333) { cyclic( Z, Y
% 37.43/37.80 , X, X ) }.
% 37.43/37.80 parent0: (81635) {G15,W5,D2,L1,V3,M1} { cyclic( X, Y, Z, Z ) }.
% 37.43/37.80 substitution0:
% 37.43/37.80 X := Z
% 37.43/37.80 Y := Y
% 37.43/37.80 Z := X
% 37.43/37.80 end
% 37.43/37.80 permutation0:
% 37.43/37.80 0 ==> 0
% 37.43/37.80 end
% 37.43/37.80
% 37.43/37.80 resolution: (81636) {G2,W5,D2,L1,V3,M1} { cyclic( Y, Z, X, Z ) }.
% 37.43/37.80 parent0[0]: (369) {G1,W10,D2,L2,V4,M2} R(15,14) { ! cyclic( X, Y, Z, T ),
% 37.43/37.80 cyclic( Y, Z, X, T ) }.
% 37.43/37.80 parent1[0]: (80781) {G19,W5,D2,L1,V3,M1} S(28811);r(66333) { cyclic( Z, Y,
% 37.43/37.80 X, X ) }.
% 37.43/37.80 substitution0:
% 37.43/37.80 X := X
% 37.43/37.80 Y := Y
% 37.43/37.80 Z := Z
% 37.43/37.80 T := Z
% 37.43/37.80 end
% 37.43/37.80 substitution1:
% 37.43/37.80 X := Z
% 37.43/37.80 Y := Y
% 37.43/37.80 Z := X
% 37.43/37.80 end
% 37.43/37.80
% 37.43/37.80 subsumption: (80838) {G20,W5,D2,L1,V3,M1} R(80781,369) { cyclic( X, Y, Z, Y
% 37.43/37.80 ) }.
% 37.43/37.80 parent0: (81636) {G2,W5,D2,L1,V3,M1} { cyclic( Y, Z, X, Z ) }.
% 37.43/37.80 substitution0:
% 37.43/37.80 X := Z
% 37.43/37.80 Y := X
% 37.43/37.80 Z := Y
% 37.43/37.80 end
% 37.43/37.80 permutation0:
% 37.43/37.80 0 ==> 0
% 37.43/37.80 end
% 37.43/37.80
% 37.43/37.80 resolution: (81637) {G2,W5,D2,L1,V3,M1} { cyclic( X, Y, Z, X ) }.
% 37.43/37.80 parent0[1]: (368) {G1,W10,D2,L2,V4,M2} R(15,14) { cyclic( X, Y, Z, T ), !
% 37.43/37.80 cyclic( Y, Z, X, T ) }.
% 37.43/37.80 parent1[0]: (80781) {G19,W5,D2,L1,V3,M1} S(28811);r(66333) { cyclic( Z, Y,
% 37.43/37.80 X, X ) }.
% 37.43/37.80 substitution0:
% 37.43/37.80 X := X
% 37.43/37.80 Y := Y
% 37.43/37.80 Z := Z
% 37.43/37.80 T := X
% 37.43/37.80 end
% 37.43/37.80 substitution1:
% 37.43/37.80 X := X
% 37.43/37.80 Y := Z
% 37.43/37.80 Z := Y
% 37.43/37.80 end
% 37.43/37.80
% 37.43/37.80 subsumption: (80839) {G20,W5,D2,L1,V3,M1} R(80781,368) { cyclic( X, Y, Z, X
% 37.43/37.80 ) }.
% 37.43/37.80 parent0: (81637) {G2,W5,D2,L1,V3,M1} { cyclic( X, Y, Z, X ) }.
% 37.43/37.80 substitution0:
% 37.43/37.80 X := X
% 37.43/37.80 Y := Y
% 37.43/37.80 Z := Z
% 37.43/37.80 end
% 37.43/37.80 permutation0:
% 37.43/37.80 0 ==> 0
% 37.43/37.80 end
% 37.43/37.80
% 37.43/37.80 resolution: (81638) {G2,W5,D2,L1,V3,M1} { cyclic( X, Z, Z, Y ) }.
% 37.43/37.80 parent0[0]: (351) {G1,W10,D2,L2,V4,M2} R(14,13) { ! cyclic( X, Y, Z, T ),
% 37.43/37.80 cyclic( X, Z, T, Y ) }.
% 37.43/37.80 parent1[0]: (80781) {G19,W5,D2,L1,V3,M1} S(28811);r(66333) { cyclic( Z, Y,
% 37.43/37.80 X, X ) }.
% 37.43/37.80 substitution0:
% 37.43/37.80 X := X
% 37.43/37.80 Y := Y
% 37.43/37.80 Z := Z
% 37.43/37.80 T := Z
% 37.43/37.80 end
% 37.43/37.80 substitution1:
% 37.43/37.80 X := Z
% 37.43/37.80 Y := Y
% 37.43/37.80 Z := X
% 37.43/37.80 end
% 37.43/37.80
% 37.43/37.80 subsumption: (80840) {G20,W5,D2,L1,V3,M1} R(80781,351) { cyclic( X, Y, Y, Z
% 37.43/37.80 ) }.
% 37.43/37.80 parent0: (81638) {G2,W5,D2,L1,V3,M1} { cyclic( X, Z, Z, Y ) }.
% 37.43/37.80 substitution0:
% 37.43/37.80 X := X
% 37.43/37.80 Y := Z
% 37.43/37.80 Z := Y
% 37.43/37.80 end
% 37.43/37.80 permutation0:
% 37.43/37.80 0 ==> 0
% 37.43/37.80 end
% 37.43/37.80
% 37.43/37.80 resolution: (81640) {G3,W10,D2,L2,V3,M2} { ! cyclic( X, Y, Z, X ), cong( X
% 37.43/37.80 , Y, X, Y ) }.
% 37.43/37.80 parent0[1]: (870) {G2,W15,D2,L3,V3,M3} F(838) { ! cyclic( X, Y, Z, X ), !
% 37.43/37.80 cyclic( X, Y, Z, Y ), cong( X, Y, X, Y ) }.
% 37.43/37.80 parent1[0]: (80838) {G20,W5,D2,L1,V3,M1} R(80781,369) { cyclic( X, Y, Z, Y
% 37.43/37.80 ) }.
% 37.43/37.80 substitution0:
% 37.43/37.80 X := X
% 37.43/37.80 Y := Y
% 37.43/37.80 Z := Z
% 37.43/37.80 end
% 37.43/37.80 substitution1:
% 37.43/37.80 X := X
% 37.43/37.80 Y := Y
% 37.43/37.80 Z := Z
% 37.43/37.80 end
% 37.43/37.80
% 37.43/37.80 resolution: (81642) {G4,W5,D2,L1,V2,M1} { cong( X, Y, X, Y ) }.
% 37.43/37.80 parent0[0]: (81640) {G3,W10,D2,L2,V3,M2} { ! cyclic( X, Y, Z, X ), cong( X
% 37.43/37.80 , Y, X, Y ) }.
% 37.43/37.80 parent1[0]: (80839) {G20,W5,D2,L1,V3,M1} R(80781,368) { cyclic( X, Y, Z, X
% 37.43/37.80 ) }.
% 37.43/37.80 substitution0:
% 37.43/37.80 X := X
% 37.43/37.80 Y := Y
% 37.43/37.80 Z := Z
% 37.43/37.80 end
% 37.43/37.80 substitution1:
% 37.43/37.80 X := X
% 37.43/37.80 Y := Y
% 37.43/37.80 Z := Z
% 37.43/37.80 end
% 37.43/37.80
% 37.43/37.80 subsumption: (80855) {G21,W5,D2,L1,V2,M1} R(80838,870);r(80839) { cong( X,
% 37.43/37.80 Y, X, Y ) }.
% 37.43/37.80 parent0: (81642) {G4,W5,D2,L1,V2,M1} { cong( X, Y, X, Y ) }.
% 37.43/37.80 substitution0:
% 37.43/37.80 X := X
% 37.43/37.80 Y := Y
% 37.43/37.80 end
% 37.43/37.80 permutation0:
% 37.43/37.80 0 ==> 0
% 37.43/37.80 end
% 37.43/37.80
% 37.43/37.80 resolution: (81644) {G2,W10,D2,L2,V4,M2} { ! cyclic( X, Y, Y, Z ), cyclic
% 37.43/37.80 ( Y, Y, Z, T ) }.
% 37.43/37.80 parent0[2]: (389) {G1,W15,D2,L3,V5,M3} R(16,13) { ! cyclic( X, Y, Z, T ),
% 37.43/37.80 cyclic( Y, Z, T, U ), ! cyclic( X, Y, U, Z ) }.
% 37.43/37.80 parent1[0]: (80838) {G20,W5,D2,L1,V3,M1} R(80781,369) { cyclic( X, Y, Z, Y
% 37.43/37.80 ) }.
% 37.43/37.80 substitution0:
% 37.43/37.80 X := X
% 37.43/37.80 Y := Y
% 37.43/37.80 Z := Y
% 37.43/37.80 T := Z
% 37.43/37.80 U := T
% 37.43/37.80 end
% 37.43/37.80 substitution1:
% 37.43/37.80 X := X
% 37.43/37.80 Y := Y
% 37.43/37.80 Z := T
% 37.43/37.80 end
% 37.43/37.80
% 37.43/37.80 resolution: (81645) {G3,W5,D2,L1,V3,M1} { cyclic( Y, Y, Z, T ) }.
% 37.43/37.80 parent0[0]: (81644) {G2,W10,D2,L2,V4,M2} { ! cyclic( X, Y, Y, Z ), cyclic
% 37.43/37.80 ( Y, Y, Z, T ) }.
% 37.43/37.80 parent1[0]: (80840) {G20,W5,D2,L1,V3,M1} R(80781,351) { cyclic( X, Y, Y, Z
% 37.43/37.80 ) }.
% 37.43/37.80 substitution0:
% 37.43/37.80 X := X
% 37.43/37.80 Y := Y
% 37.43/37.80 Z := Z
% 37.43/37.80 T := T
% 37.43/37.80 end
% 37.43/37.80 substitution1:
% 37.43/37.80 X := X
% 37.43/37.80 Y := Y
% 37.43/37.80 Z := Z
% 37.43/37.80 end
% 37.43/37.80
% 37.43/37.80 subsumption: (80866) {G21,W5,D2,L1,V3,M1} R(80838,389);r(80840) { cyclic( Y
% 37.43/37.80 , Y, Z, T ) }.
% 37.43/37.80 parent0: (81645) {G3,W5,D2,L1,V3,M1} { cyclic( Y, Y, Z, T ) }.
% 37.43/37.80 substitution0:
% 37.43/37.80 X := U
% 37.43/37.80 Y := Y
% 37.43/37.80 Z := Z
% 37.43/37.80 T := T
% 37.43/37.80 end
% 37.43/37.80 permutation0:
% 37.43/37.80 0 ==> 0
% 37.43/37.80 end
% 37.43/37.80
% 37.43/37.80 resolution: (81646) {G2,W20,D2,L4,V5,M4} { ! cong( X, Y, X, Y ), perp( Z,
% 37.43/37.80 X, X, Y ), ! cong( X, Z, T, U ), ! cong( T, U, X, Z ) }.
% 37.43/37.80 parent0[1]: (1509) {G1,W25,D2,L5,V6,M5} R(57,24) { ! cong( X, Y, Z, Y ), !
% 37.43/37.80 cyclic( X, Z, T, Y ), perp( T, X, X, Y ), ! cong( X, T, U, W ), ! cong( U
% 37.43/37.80 , W, Z, T ) }.
% 37.43/37.80 parent1[0]: (80866) {G21,W5,D2,L1,V3,M1} R(80838,389);r(80840) { cyclic( Y
% 37.43/37.80 , Y, Z, T ) }.
% 37.43/37.80 substitution0:
% 37.43/37.80 X := X
% 37.43/37.80 Y := Y
% 37.43/37.80 Z := X
% 37.43/37.80 T := Z
% 37.43/37.80 U := T
% 37.43/37.80 W := U
% 37.43/37.80 end
% 37.43/37.80 substitution1:
% 37.43/37.80 X := W
% 37.43/37.80 Y := X
% 37.43/37.80 Z := Z
% 37.43/37.80 T := Y
% 37.43/37.80 end
% 37.43/37.80
% 37.43/37.80 resolution: (81654) {G3,W15,D2,L3,V5,M3} { perp( Z, X, X, Y ), ! cong( X,
% 37.43/37.80 Z, T, U ), ! cong( T, U, X, Z ) }.
% 37.43/37.80 parent0[0]: (81646) {G2,W20,D2,L4,V5,M4} { ! cong( X, Y, X, Y ), perp( Z,
% 37.43/37.81 X, X, Y ), ! cong( X, Z, T, U ), ! cong( T, U, X, Z ) }.
% 37.43/37.81 parent1[0]: (80855) {G21,W5,D2,L1,V2,M1} R(80838,870);r(80839) { cong( X, Y
% 37.43/37.81 , X, Y ) }.
% 37.43/37.81 substitution0:
% 37.43/37.81 X := X
% 37.43/37.81 Y := Y
% 37.43/37.81 Z := Z
% 37.43/37.81 T := T
% 37.43/37.81 U := U
% 37.43/37.81 end
% 37.43/37.81 substitution1:
% 37.43/37.81 X := X
% 37.43/37.81 Y := Y
% 37.43/37.81 end
% 37.43/37.81
% 37.43/37.81 subsumption: (80891) {G22,W15,D2,L3,V5,M3} R(80866,1509);r(80855) { perp( Z
% 37.43/37.81 , X, X, Y ), ! cong( X, Z, T, U ), ! cong( T, U, X, Z ) }.
% 37.43/37.81 parent0: (81654) {G3,W15,D2,L3,V5,M3} { perp( Z, X, X, Y ), ! cong( X, Z,
% 37.43/37.81 T, U ), ! cong( T, U, X, Z ) }.
% 37.43/37.81 substitution0:
% 37.43/37.81 X := X
% 37.43/37.81 Y := Y
% 37.43/37.81 Z := Z
% 37.43/37.81 T := T
% 37.43/37.81 U := U
% 37.43/37.81 end
% 37.43/37.81 permutation0:
% 37.43/37.81 0 ==> 0
% 37.43/37.81 1 ==> 1
% 37.43/37.81 2 ==> 2
% 37.43/37.81 end
% 37.43/37.81
% 37.43/37.81 factor: (81656) {G22,W10,D2,L2,V3,M2} { perp( X, Y, Y, Z ), ! cong( Y, X,
% 37.43/37.81 Y, X ) }.
% 37.43/37.81 parent0[1, 2]: (80891) {G22,W15,D2,L3,V5,M3} R(80866,1509);r(80855) { perp
% 37.43/37.81 ( Z, X, X, Y ), ! cong( X, Z, T, U ), ! cong( T, U, X, Z ) }.
% 37.43/37.81 substitution0:
% 37.43/37.81 X := Y
% 37.43/37.81 Y := Z
% 37.43/37.81 Z := X
% 37.43/37.81 T := Y
% 37.43/37.81 U := X
% 37.43/37.81 end
% 37.43/37.81
% 37.43/37.81 resolution: (81657) {G22,W5,D2,L1,V3,M1} { perp( X, Y, Y, Z ) }.
% 37.43/37.81 parent0[1]: (81656) {G22,W10,D2,L2,V3,M2} { perp( X, Y, Y, Z ), ! cong( Y
% 37.43/37.81 , X, Y, X ) }.
% 37.43/37.81 parent1[0]: (80855) {G21,W5,D2,L1,V2,M1} R(80838,870);r(80839) { cong( X, Y
% 37.43/37.81 , X, Y ) }.
% 37.43/37.81 substitution0:
% 37.43/37.81 X := X
% 37.43/37.81 Y := Y
% 37.43/37.81 Z := Z
% 37.43/37.81 end
% 37.43/37.81 substitution1:
% 37.43/37.81 X := Y
% 37.43/37.81 Y := X
% 37.43/37.81 end
% 37.43/37.81
% 37.43/37.81 subsumption: (80917) {G23,W5,D2,L1,V3,M1} F(80891);r(80855) { perp( X, Y, Y
% 37.43/37.81 , Z ) }.
% 37.43/37.81 parent0: (81657) {G22,W5,D2,L1,V3,M1} { perp( X, Y, Y, Z ) }.
% 37.43/37.81 substitution0:
% 37.43/37.81 X := X
% 37.43/37.81 Y := Y
% 37.43/37.81 Z := Z
% 37.43/37.81 end
% 37.43/37.81 permutation0:
% 37.43/37.81 0 ==> 0
% 37.43/37.81 end
% 37.43/37.81
% 37.43/37.81 resolution: (81658) {G18,W0,D0,L0,V0,M0} { }.
% 37.43/37.81 parent0[0]: (54412) {G17,W8,D3,L1,V0,M1} R(54394,290) { ! perp( skol22,
% 37.43/37.81 skol20, skol20, skol16( skol20, skol23, skol24 ) ) }.
% 37.43/37.81 parent1[0]: (80917) {G23,W5,D2,L1,V3,M1} F(80891);r(80855) { perp( X, Y, Y
% 37.43/37.81 , Z ) }.
% 37.43/37.81 substitution0:
% 37.43/37.81 end
% 37.43/37.81 substitution1:
% 37.43/37.81 X := skol22
% 37.43/37.81 Y := skol20
% 37.43/37.81 Z := skol16( skol20, skol23, skol24 )
% 37.43/37.81 end
% 37.43/37.81
% 37.43/37.81 subsumption: (80968) {G24,W0,D0,L0,V0,M0} R(80917,54412) { }.
% 37.43/37.81 parent0: (81658) {G18,W0,D0,L0,V0,M0} { }.
% 37.43/37.81 substitution0:
% 37.43/37.81 end
% 37.43/37.81 permutation0:
% 37.43/37.81 end
% 37.43/37.81
% 37.43/37.81 Proof check complete!
% 37.43/37.81
% 37.43/37.81 Memory use:
% 37.43/37.81
% 37.43/37.81 space for terms: 1185724
% 37.43/37.81 space for clauses: 3715974
% 37.43/37.81
% 37.43/37.81
% 37.43/37.81 clauses generated: 625893
% 37.43/37.81 clauses kept: 80969
% 37.43/37.81 clauses selected: 4121
% 37.43/37.81 clauses deleted: 26393
% 37.43/37.81 clauses inuse deleted: 1595
% 37.43/37.81
% 37.43/37.81 subsentry: 18229513
% 37.43/37.81 literals s-matched: 12997688
% 37.43/37.81 literals matched: 7623644
% 37.43/37.81 full subsumption: 3678087
% 37.43/37.81
% 37.43/37.81 checksum: 1652399305
% 37.43/37.81
% 37.43/37.81
% 37.43/37.81 Bliksem ended
%------------------------------------------------------------------------------