TSTP Solution File: GEO635+1 by Bliksem---1.12
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : GEO635+1 : TPTP v8.1.0. Released v7.5.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n007.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 02:55:15 EDT 2022
% Result : Theorem 22.96s 23.36s
% Output : Refutation 22.96s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.11 % Problem : GEO635+1 : TPTP v8.1.0. Released v7.5.0.
% 0.07/0.12 % Command : bliksem %s
% 0.12/0.33 % Computer : n007.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 : Fri Jun 17 19:43:12 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.74/1.12 *** allocated 10000 integers for termspace/termends
% 0.74/1.12 *** allocated 10000 integers for clauses
% 0.74/1.12 *** allocated 10000 integers for justifications
% 0.74/1.12 Bliksem 1.12
% 0.74/1.12
% 0.74/1.12
% 0.74/1.12 Automatic Strategy Selection
% 0.74/1.12
% 0.74/1.12 *** allocated 15000 integers for termspace/termends
% 0.74/1.12
% 0.74/1.12 Clauses:
% 0.74/1.12
% 0.74/1.12 { ! coll( X, Y, Z ), coll( X, Z, Y ) }.
% 0.74/1.12 { ! coll( X, Y, Z ), coll( Y, X, Z ) }.
% 0.74/1.12 { ! coll( X, T, Y ), ! coll( X, T, Z ), coll( Y, Z, X ) }.
% 0.74/1.12 { ! para( X, Y, Z, T ), para( X, Y, T, Z ) }.
% 0.74/1.12 { ! para( X, Y, Z, T ), para( Z, T, X, Y ) }.
% 0.74/1.12 { ! para( X, Y, U, W ), ! para( U, W, Z, T ), para( X, Y, Z, T ) }.
% 0.74/1.12 { ! perp( X, Y, Z, T ), perp( X, Y, T, Z ) }.
% 0.74/1.12 { ! perp( X, Y, Z, T ), perp( Z, T, X, Y ) }.
% 0.74/1.12 { ! perp( X, Y, U, W ), ! perp( U, W, Z, T ), para( X, Y, Z, T ) }.
% 0.74/1.12 { ! para( X, Y, U, W ), ! perp( U, W, Z, T ), perp( X, Y, Z, T ) }.
% 0.74/1.12 { ! midp( Z, Y, X ), midp( Z, X, Y ) }.
% 0.74/1.12 { ! cong( T, X, T, Y ), ! cong( T, X, T, Z ), circle( T, X, Y, Z ) }.
% 0.74/1.12 { ! cong( U, X, U, Y ), ! cong( U, X, U, Z ), ! cong( U, X, U, T ), cyclic
% 0.74/1.12 ( X, Y, Z, T ) }.
% 0.74/1.12 { ! cyclic( X, Y, Z, T ), cyclic( X, Y, T, Z ) }.
% 0.74/1.12 { ! cyclic( X, Y, Z, T ), cyclic( X, Z, Y, T ) }.
% 0.74/1.12 { ! cyclic( X, Y, Z, T ), cyclic( Y, X, Z, T ) }.
% 0.74/1.12 { ! cyclic( U, X, Y, Z ), ! cyclic( U, X, Y, T ), cyclic( X, Y, Z, T ) }.
% 0.74/1.12 { ! eqangle( X, Y, Z, T, U, W, V0, V1 ), eqangle( Y, X, Z, T, U, W, V0, V1
% 0.74/1.12 ) }.
% 0.74/1.12 { ! eqangle( X, Y, Z, T, U, W, V0, V1 ), eqangle( Z, T, X, Y, V0, V1, U, W
% 0.74/1.12 ) }.
% 0.74/1.12 { ! eqangle( X, Y, Z, T, U, W, V0, V1 ), eqangle( U, W, V0, V1, X, Y, Z, T
% 0.74/1.12 ) }.
% 0.74/1.12 { ! eqangle( X, Y, Z, T, U, W, V0, V1 ), eqangle( X, Y, U, W, Z, T, V0, V1
% 0.74/1.12 ) }.
% 0.74/1.12 { ! eqangle( X, Y, Z, T, V2, V3, V4, V5 ), ! eqangle( V2, V3, V4, V5, U, W
% 0.74/1.12 , V0, V1 ), eqangle( X, Y, Z, T, U, W, V0, V1 ) }.
% 0.74/1.12 { ! cong( X, Y, Z, T ), cong( X, Y, T, Z ) }.
% 0.74/1.12 { ! cong( X, Y, Z, T ), cong( Z, T, X, Y ) }.
% 0.74/1.12 { ! cong( X, Y, U, W ), ! cong( U, W, Z, T ), cong( X, Y, Z, T ) }.
% 0.74/1.12 { ! eqratio( X, Y, Z, T, U, W, V0, V1 ), eqratio( Y, X, Z, T, U, W, V0, V1
% 0.74/1.12 ) }.
% 0.74/1.12 { ! eqratio( X, Y, Z, T, U, W, V0, V1 ), eqratio( Z, T, X, Y, V0, V1, U, W
% 0.74/1.12 ) }.
% 0.74/1.12 { ! eqratio( X, Y, Z, T, U, W, V0, V1 ), eqratio( U, W, V0, V1, X, Y, Z, T
% 0.74/1.12 ) }.
% 0.74/1.12 { ! eqratio( X, Y, Z, T, U, W, V0, V1 ), eqratio( X, Y, U, W, Z, T, V0, V1
% 0.74/1.12 ) }.
% 0.74/1.12 { ! eqratio( X, Y, Z, T, V2, V3, V4, V5 ), ! eqratio( V2, V3, V4, V5, U, W
% 0.74/1.12 , V0, V1 ), eqratio( X, Y, Z, T, U, W, V0, V1 ) }.
% 0.74/1.12 { ! simtri( X, Z, Y, T, W, U ), simtri( X, Y, Z, T, U, W ) }.
% 0.74/1.12 { ! simtri( Y, X, Z, U, T, W ), simtri( X, Y, Z, T, U, W ) }.
% 0.74/1.12 { ! simtri( T, U, W, X, Y, Z ), simtri( X, Y, Z, T, U, W ) }.
% 0.74/1.12 { ! simtri( X, Y, Z, V0, V1, V2 ), ! simtri( V0, V1, V2, T, U, W ), simtri
% 0.74/1.12 ( X, Y, Z, T, U, W ) }.
% 0.74/1.12 { ! contri( X, Z, Y, T, W, U ), contri( X, Y, Z, T, U, W ) }.
% 0.74/1.12 { ! contri( Y, X, Z, U, T, W ), contri( X, Y, Z, T, U, W ) }.
% 0.74/1.12 { ! contri( T, U, W, X, Y, Z ), contri( X, Y, Z, T, U, W ) }.
% 0.74/1.12 { ! contri( X, Y, Z, V0, V1, V2 ), ! contri( V0, V1, V2, T, U, W ), contri
% 0.74/1.12 ( X, Y, Z, T, U, W ) }.
% 0.74/1.12 { ! eqangle( X, Y, U, W, Z, T, U, W ), para( X, Y, Z, T ) }.
% 0.74/1.12 { ! para( X, Y, Z, T ), eqangle( X, Y, U, W, Z, T, U, W ) }.
% 0.74/1.12 { ! cyclic( X, Y, Z, T ), eqangle( Z, X, Z, Y, T, X, T, Y ) }.
% 0.74/1.12 { ! eqangle( Z, X, Z, Y, T, X, T, Y ), coll( Z, T, X ), cyclic( X, Y, Z, T
% 0.74/1.12 ) }.
% 0.74/1.12 { ! eqangle( Z, X, Z, Y, T, X, T, Y ), ! coll( Z, T, Y ), cyclic( X, Y, Z,
% 0.74/1.12 T ) }.
% 0.74/1.12 { ! cyclic( X, Y, U, Z ), ! cyclic( X, Y, U, T ), ! cyclic( X, Y, U, W ), !
% 0.74/1.12 eqangle( U, X, U, Y, W, Z, W, T ), cong( X, Y, Z, T ) }.
% 0.74/1.12 { ! midp( Z, U, X ), ! midp( T, U, Y ), para( Z, T, X, Y ) }.
% 0.74/1.12 { ! midp( U, X, T ), ! para( U, Z, T, Y ), ! coll( Z, X, Y ), midp( Z, X, Y
% 0.74/1.12 ) }.
% 0.74/1.12 { ! cong( Z, X, Z, Y ), eqangle( Z, X, X, Y, X, Y, Z, Y ) }.
% 0.74/1.12 { ! eqangle( Z, X, X, Y, X, Y, Z, Y ), coll( Z, X, Y ), cong( Z, X, Z, Y )
% 0.74/1.12 }.
% 0.74/1.12 { ! circle( U, X, Y, Z ), ! perp( U, X, X, T ), eqangle( X, T, X, Y, Z, X,
% 0.74/1.12 Z, Y ) }.
% 0.74/1.12 { ! circle( Y, X, T, U ), ! eqangle( X, Z, X, T, U, X, U, T ), perp( Y, X,
% 0.74/1.12 X, Z ) }.
% 0.74/1.12 { ! circle( T, X, Y, Z ), ! midp( U, Y, Z ), eqangle( X, Y, X, Z, T, Y, T,
% 0.74/1.12 U ) }.
% 0.74/1.12 { ! circle( U, T, X, Y ), ! coll( Z, X, Y ), ! eqangle( T, X, T, Y, U, X, U
% 0.74/1.12 , Z ), midp( Z, X, Y ) }.
% 0.74/1.12 { ! perp( X, Y, Y, T ), ! midp( Z, X, T ), cong( X, Z, Y, Z ) }.
% 0.74/1.12 { ! circle( T, X, Y, Z ), ! coll( T, X, Z ), perp( X, Y, Y, Z ) }.
% 0.74/1.12 { ! cyclic( X, Y, Z, T ), ! para( X, Y, Z, T ), eqangle( X, T, Z, T, Z, T,
% 0.74/1.12 Z, Y ) }.
% 0.74/1.12 { ! midp( T, X, Y ), ! perp( Z, T, X, Y ), cong( Z, X, Z, Y ) }.
% 0.74/1.12 { ! cong( X, Z, Y, Z ), ! cong( X, T, Y, T ), perp( X, Y, Z, T ) }.
% 0.74/1.12 { ! cong( X, Y, T, Y ), ! cong( X, Z, T, Z ), ! cyclic( X, T, Y, Z ), perp
% 0.74/1.12 ( Y, X, X, Z ) }.
% 0.74/1.12 { ! eqangle( X, Y, Y, Z, T, U, U, W ), ! eqangle( X, Z, Y, Z, T, W, U, W )
% 0.74/1.12 , coll( X, Y, Z ), simtri( X, Y, Z, T, U, W ) }.
% 0.74/1.12 { ! simtri( X, Y, Z, T, U, W ), eqratio( X, Y, X, Z, T, U, T, W ) }.
% 0.74/1.12 { ! simtri( X, Y, Z, T, U, W ), eqangle( X, Y, Y, Z, T, U, U, W ) }.
% 0.74/1.12 { ! simtri( X, Y, Z, T, U, W ), ! cong( X, Y, T, U ), contri( X, Y, Z, T, U
% 0.74/1.12 , W ) }.
% 0.74/1.12 { ! contri( X, Y, U, Z, T, W ), cong( X, Y, Z, T ) }.
% 0.74/1.12 { ! midp( U, X, Y ), ! midp( U, Z, T ), para( X, Z, Y, T ) }.
% 0.74/1.12 { ! midp( Z, T, U ), ! para( T, X, U, Y ), ! para( T, Y, U, X ), midp( Z, X
% 0.74/1.12 , Y ) }.
% 0.74/1.12 { ! para( X, Y, Z, T ), ! coll( U, X, Z ), ! coll( U, Y, T ), eqratio( U, X
% 0.74/1.12 , X, Z, U, Y, Y, T ) }.
% 0.74/1.12 { ! para( X, Y, X, Z ), coll( X, Y, Z ) }.
% 0.74/1.12 { ! cong( X, Y, X, Z ), ! coll( X, Y, Z ), midp( X, Y, Z ) }.
% 0.74/1.12 { ! midp( X, Y, Z ), cong( X, Y, X, Z ) }.
% 0.74/1.12 { ! midp( X, Y, Z ), coll( X, Y, Z ) }.
% 0.74/1.12 { ! midp( U, X, Y ), ! midp( W, Z, T ), eqratio( U, X, X, Y, W, Z, Z, T ) }
% 0.74/1.12 .
% 0.74/1.12 { ! eqangle( X, Y, Z, T, Z, T, X, Y ), para( X, Y, Z, T ), perp( X, Y, Z, T
% 0.74/1.12 ) }.
% 0.74/1.12 { ! eqangle( X, Y, Z, T, Z, T, X, Y ), perp( X, Y, Z, T ), para( X, Y, Z, T
% 0.74/1.12 ) }.
% 0.74/1.12 { ! eqangle( X, Y, Z, T, U, W, V0, V1 ), ! para( U, W, V0, V1 ), para( X, Y
% 0.74/1.12 , Z, T ) }.
% 0.74/1.12 { ! eqangle( X, Y, Z, T, U, W, V0, V1 ), ! perp( U, W, V0, V1 ), perp( X, Y
% 0.74/1.12 , Z, T ) }.
% 0.74/1.12 { ! eqratio( X, Y, Z, T, U, W, V0, V1 ), ! cong( U, W, V0, V1 ), cong( X, Y
% 0.74/1.12 , Z, T ) }.
% 0.74/1.12 { ! perp( Z, Y, Y, X ), ! eqangle( T, Z, Y, Z, Y, Z, X, Z ), coll( skol1( U
% 0.74/1.12 , W, Z, T ), Z, T ) }.
% 0.74/1.12 { ! perp( Z, Y, Y, X ), ! eqangle( T, Z, Y, Z, Y, Z, X, Z ), coll( skol1( X
% 0.74/1.12 , Y, Z, T ), X, Y ) }.
% 0.74/1.12 { ! cong( Z, X, Z, Y ), ! eqangle( X, Z, Z, T, Z, T, Z, Y ), coll( skol2( U
% 0.74/1.12 , W, Z, T ), Z, T ) }.
% 0.74/1.12 { ! cong( Z, X, Z, Y ), ! eqangle( X, Z, Z, T, Z, T, Z, Y ), coll( Y, X,
% 0.74/1.12 skol2( X, Y, Z, T ) ) }.
% 0.74/1.12 { ! perp( Z, T, X, Y ), ! eqangle( X, Z, Z, T, Z, T, Z, Y ), coll( skol3( U
% 0.74/1.12 , W, Z, T ), Z, T ) }.
% 0.74/1.12 { ! perp( Z, T, X, Y ), ! eqangle( X, Z, Z, T, Z, T, Z, Y ), coll( Y, X,
% 0.74/1.12 skol3( X, Y, Z, T ) ) }.
% 0.74/1.12 { ! perp( Z, T, X, Y ), ! cong( Z, X, Z, Y ), coll( skol4( U, W, Z, T ), Z
% 0.74/1.12 , T ) }.
% 0.74/1.12 { ! perp( Z, T, X, Y ), ! cong( Z, X, Z, Y ), coll( Y, X, skol4( X, Y, Z, T
% 0.74/1.12 ) ) }.
% 0.74/1.12 { ! eqangle( X, Z, Y, Z, X, T, Y, U ), coll( X, Y, Z ), cyclic( T, Y, Z,
% 0.74/1.12 skol5( W, Y, Z, T ) ) }.
% 0.74/1.12 { ! eqangle( X, Z, Y, Z, X, T, Y, U ), coll( X, Y, Z ), eqangle( X, Z, Y, Z
% 0.74/1.12 , X, skol5( X, Y, Z, T ), Y, skol5( X, Y, Z, T ) ) }.
% 0.74/1.12 { ! midp( U, X, Y ), ! midp( W, Z, T ), midp( skol6( X, V0, V1, T, V2, V3 )
% 0.74/1.12 , X, T ) }.
% 0.74/1.12 { ! midp( U, X, Y ), ! midp( W, Z, T ), para( skol6( X, V0, Z, T, V1, W ),
% 0.74/1.12 W, X, Z ) }.
% 0.74/1.12 { ! midp( U, X, Y ), ! midp( W, Z, T ), para( skol6( X, Y, Z, T, U, W ), U
% 0.74/1.12 , Y, T ) }.
% 0.74/1.12 { ! midp( Z, X, Y ), ! midp( W, T, U ), ! coll( T, X, Y ), ! coll( U, X, Y
% 0.74/1.12 ), midp( skol7( X, V0 ), X, V0 ) }.
% 0.74/1.12 { ! midp( T, X, U ), ! para( X, W, Z, T ), ! para( X, W, U, Y ), ! coll( W
% 0.74/1.12 , Y, Z ), coll( skol8( V0, V1, Z, T ), T, Z ) }.
% 0.74/1.12 { ! midp( T, X, U ), ! para( X, W, Z, T ), ! para( X, W, U, Y ), ! coll( W
% 0.74/1.12 , Y, Z ), coll( skol8( X, Y, Z, T ), X, Y ) }.
% 0.74/1.12 { ! cong( T, Z, T, U ), ! perp( X, Y, Y, T ), cong( T, Z, T, skol9( W, V0,
% 0.74/1.12 Z, T ) ) }.
% 0.74/1.12 { ! cong( T, Z, T, U ), ! perp( X, Y, Y, T ), cong( Y, Z, Y, skol9( W, Y, Z
% 0.74/1.12 , T ) ) }.
% 0.74/1.12 { ! cong( T, Z, T, U ), ! perp( X, Y, Y, T ), para( skol9( X, Y, Z, T ), Z
% 0.74/1.12 , X, Y ) }.
% 0.74/1.12 { ! perp( X, T, Y, Z ), ! perp( Y, T, X, Z ), coll( skol10( U, Y, Z ), Z, Y
% 0.74/1.12 ) }.
% 0.74/1.12 { ! perp( X, T, Y, Z ), ! perp( Y, T, X, Z ), perp( X, skol10( X, Y, Z ), Z
% 0.74/1.12 , Y ) }.
% 0.74/1.12 { ! perp( X, T, Y, Z ), ! perp( Y, T, X, Z ), alpha1( X, Y, Z ) }.
% 0.74/1.12 { ! alpha1( X, Y, Z ), coll( skol11( X, T, Z ), Z, X ) }.
% 0.74/1.12 { ! alpha1( X, Y, Z ), perp( Y, skol11( X, Y, Z ), Z, X ) }.
% 0.74/1.12 { ! coll( T, Z, X ), ! perp( Y, T, Z, X ), alpha1( X, Y, Z ) }.
% 0.74/1.12 { ! circle( Y, X, Z, T ), perp( skol12( X, Y ), X, X, Y ) }.
% 5.41/5.78 { ! circle( W, X, Y, Z ), ! cong( W, X, W, T ), ! cong( U, X, U, Y ), W = U
% 5.41/5.78 , alpha2( X, Z, U, skol13( X, V0, Z, V1, U ) ) }.
% 5.41/5.78 { ! circle( W, X, Y, Z ), ! cong( W, X, W, T ), ! cong( U, X, U, Y ), W = U
% 5.41/5.78 , coll( skol21( V0, Y, T, V1 ), Y, T ) }.
% 5.41/5.78 { ! circle( W, X, Y, Z ), ! cong( W, X, W, T ), ! cong( U, X, U, Y ), W = U
% 5.41/5.78 , cong( skol21( X, Y, T, U ), U, U, X ) }.
% 5.41/5.78 { ! alpha2( X, Y, Z, T ), coll( T, X, Y ) }.
% 5.41/5.78 { ! alpha2( X, Y, Z, T ), cong( T, Z, Z, X ) }.
% 5.41/5.78 { ! coll( T, X, Y ), ! cong( T, Z, Z, X ), alpha2( X, Y, Z, T ) }.
% 5.41/5.78 { ! cyclic( X, Y, Z, T ), ! para( X, Y, Z, T ), ! midp( U, X, Y ), circle(
% 5.41/5.78 skol14( X, Y, Z ), X, Y, Z ) }.
% 5.41/5.78 { ! perp( X, Z, Z, Y ), ! cyclic( X, Y, Z, T ), circle( skol15( X, Y, Z ),
% 5.41/5.78 X, Y, Z ) }.
% 5.41/5.78 { ! perp( X, U, U, T ), ! coll( T, Y, Z ), coll( skol16( W, Y, Z ), Y, Z )
% 5.41/5.78 }.
% 5.41/5.78 { ! perp( X, U, U, T ), ! coll( T, Y, Z ), perp( skol16( X, Y, Z ), X, Y, Z
% 5.41/5.78 ) }.
% 5.41/5.78 { ! perp( X, Z, X, Y ), ! perp( Y, X, Y, T ), ! midp( U, Z, T ), midp(
% 5.41/5.78 skol17( X, Y ), X, Y ) }.
% 5.41/5.78 { ! cong( Y, X, Y, Z ), ! perp( X, Y, Y, Z ), coll( X, Y, skol18( X, Y ) )
% 5.41/5.78 }.
% 5.41/5.78 { ! cong( Y, X, Y, Z ), ! perp( X, Y, Y, Z ), cong( Y, X, Y, skol18( X, Y )
% 5.41/5.78 ) }.
% 5.41/5.78 { ! para( U, W, X, Y ), ! coll( Z, U, X ), ! coll( Z, W, Y ), ! coll( T, U
% 5.41/5.78 , W ), coll( Z, T, skol19( V0, V1, Z, T ) ) }.
% 5.41/5.78 { ! para( U, W, X, Y ), ! coll( Z, U, X ), ! coll( Z, W, Y ), ! coll( T, U
% 5.41/5.78 , W ), coll( skol19( X, Y, Z, T ), X, Y ) }.
% 5.41/5.78 { circle( skol26, skol20, skol22, skol25 ) }.
% 5.41/5.78 { coll( skol27, skol20, skol22 ) }.
% 5.41/5.78 { circle( skol26, skol20, skol23, skol28 ) }.
% 5.41/5.78 { eqangle( skol20, skol25, skol25, skol27, skol23, skol25, skol25, skol22 )
% 5.41/5.78 }.
% 5.41/5.78 { circle( skol26, skol25, skol24, skol29 ) }.
% 5.41/5.78 { coll( skol24, skol25, skol27 ) }.
% 5.41/5.78 { ! para( skol20, skol22, skol24, skol23 ) }.
% 5.41/5.78
% 5.41/5.78 percentage equality = 0.008798, percentage horn = 0.926829
% 5.41/5.78 This is a problem with some equality
% 5.41/5.78
% 5.41/5.78
% 5.41/5.78
% 5.41/5.78 Options Used:
% 5.41/5.78
% 5.41/5.78 useres = 1
% 5.41/5.78 useparamod = 1
% 5.41/5.78 useeqrefl = 1
% 5.41/5.78 useeqfact = 1
% 5.41/5.78 usefactor = 1
% 5.41/5.78 usesimpsplitting = 0
% 5.41/5.78 usesimpdemod = 5
% 5.41/5.78 usesimpres = 3
% 5.41/5.78
% 5.41/5.78 resimpinuse = 1000
% 5.41/5.78 resimpclauses = 20000
% 5.41/5.78 substype = eqrewr
% 5.41/5.78 backwardsubs = 1
% 5.41/5.78 selectoldest = 5
% 5.41/5.78
% 5.41/5.78 litorderings [0] = split
% 5.41/5.78 litorderings [1] = extend the termordering, first sorting on arguments
% 5.41/5.78
% 5.41/5.78 termordering = kbo
% 5.41/5.78
% 5.41/5.78 litapriori = 0
% 5.41/5.78 termapriori = 1
% 5.41/5.78 litaposteriori = 0
% 5.41/5.78 termaposteriori = 0
% 5.41/5.78 demodaposteriori = 0
% 5.41/5.78 ordereqreflfact = 0
% 5.41/5.78
% 5.41/5.78 litselect = negord
% 5.41/5.78
% 5.41/5.78 maxweight = 15
% 5.41/5.78 maxdepth = 30000
% 5.41/5.78 maxlength = 115
% 5.41/5.78 maxnrvars = 195
% 5.41/5.78 excuselevel = 1
% 5.41/5.78 increasemaxweight = 1
% 5.41/5.78
% 5.41/5.78 maxselected = 10000000
% 5.41/5.78 maxnrclauses = 10000000
% 5.41/5.78
% 5.41/5.78 showgenerated = 0
% 5.41/5.78 showkept = 0
% 5.41/5.78 showselected = 0
% 5.41/5.78 showdeleted = 0
% 5.41/5.78 showresimp = 1
% 5.41/5.78 showstatus = 2000
% 5.41/5.78
% 5.41/5.78 prologoutput = 0
% 5.41/5.78 nrgoals = 5000000
% 5.41/5.78 totalproof = 1
% 5.41/5.78
% 5.41/5.78 Symbols occurring in the translation:
% 5.41/5.78
% 5.41/5.78 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 5.41/5.78 . [1, 2] (w:1, o:40, a:1, s:1, b:0),
% 5.41/5.78 ! [4, 1] (w:0, o:35, a:1, s:1, b:0),
% 5.41/5.78 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 5.41/5.78 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 5.41/5.78 coll [38, 3] (w:1, o:68, a:1, s:1, b:0),
% 5.41/5.78 para [40, 4] (w:1, o:76, a:1, s:1, b:0),
% 5.41/5.78 perp [43, 4] (w:1, o:77, a:1, s:1, b:0),
% 5.41/5.78 midp [45, 3] (w:1, o:69, a:1, s:1, b:0),
% 5.41/5.78 cong [47, 4] (w:1, o:78, a:1, s:1, b:0),
% 5.41/5.78 circle [48, 4] (w:1, o:79, a:1, s:1, b:0),
% 5.41/5.78 cyclic [49, 4] (w:1, o:80, a:1, s:1, b:0),
% 5.41/5.78 eqangle [54, 8] (w:1, o:95, a:1, s:1, b:0),
% 5.41/5.78 eqratio [57, 8] (w:1, o:96, a:1, s:1, b:0),
% 5.41/5.78 simtri [59, 6] (w:1, o:92, a:1, s:1, b:0),
% 5.41/5.78 contri [60, 6] (w:1, o:93, a:1, s:1, b:0),
% 5.41/5.78 alpha1 [66, 3] (w:1, o:70, a:1, s:1, b:1),
% 5.41/5.78 alpha2 [67, 4] (w:1, o:81, a:1, s:1, b:1),
% 5.41/5.78 skol1 [68, 4] (w:1, o:82, a:1, s:1, b:1),
% 5.41/5.78 skol2 [69, 4] (w:1, o:84, a:1, s:1, b:1),
% 5.41/5.78 skol3 [70, 4] (w:1, o:86, a:1, s:1, b:1),
% 5.41/5.78 skol4 [71, 4] (w:1, o:87, a:1, s:1, b:1),
% 5.41/5.78 skol5 [72, 4] (w:1, o:88, a:1, s:1, b:1),
% 5.41/5.78 skol6 [73, 6] (w:1, o:94, a:1, s:1, b:1),
% 5.41/5.78 skol7 [74, 2] (w:1, o:64, a:1, s:1, b:1),
% 22.96/23.36 skol8 [75, 4] (w:1, o:89, a:1, s:1, b:1),
% 22.96/23.36 skol9 [76, 4] (w:1, o:90, a:1, s:1, b:1),
% 22.96/23.36 skol10 [77, 3] (w:1, o:71, a:1, s:1, b:1),
% 22.96/23.36 skol11 [78, 3] (w:1, o:72, a:1, s:1, b:1),
% 22.96/23.36 skol12 [79, 2] (w:1, o:65, a:1, s:1, b:1),
% 22.96/23.36 skol13 [80, 5] (w:1, o:91, a:1, s:1, b:1),
% 22.96/23.36 skol14 [81, 3] (w:1, o:73, a:1, s:1, b:1),
% 22.96/23.36 skol15 [82, 3] (w:1, o:74, a:1, s:1, b:1),
% 22.96/23.36 skol16 [83, 3] (w:1, o:75, a:1, s:1, b:1),
% 22.96/23.36 skol17 [84, 2] (w:1, o:66, a:1, s:1, b:1),
% 22.96/23.36 skol18 [85, 2] (w:1, o:67, a:1, s:1, b:1),
% 22.96/23.36 skol19 [86, 4] (w:1, o:83, a:1, s:1, b:1),
% 22.96/23.36 skol20 [87, 0] (w:1, o:26, a:1, s:1, b:1),
% 22.96/23.36 skol21 [88, 4] (w:1, o:85, a:1, s:1, b:1),
% 22.96/23.36 skol22 [89, 0] (w:1, o:27, a:1, s:1, b:1),
% 22.96/23.36 skol23 [90, 0] (w:1, o:28, a:1, s:1, b:1),
% 22.96/23.36 skol24 [91, 0] (w:1, o:29, a:1, s:1, b:1),
% 22.96/23.36 skol25 [92, 0] (w:1, o:30, a:1, s:1, b:1),
% 22.96/23.36 skol26 [93, 0] (w:1, o:31, a:1, s:1, b:1),
% 22.96/23.36 skol27 [94, 0] (w:1, o:32, a:1, s:1, b:1),
% 22.96/23.36 skol28 [95, 0] (w:1, o:33, a:1, s:1, b:1),
% 22.96/23.36 skol29 [96, 0] (w:1, o:34, a:1, s:1, b:1).
% 22.96/23.36
% 22.96/23.36
% 22.96/23.36 Starting Search:
% 22.96/23.36
% 22.96/23.36 *** allocated 15000 integers for clauses
% 22.96/23.36 *** allocated 22500 integers for clauses
% 22.96/23.36 *** allocated 33750 integers for clauses
% 22.96/23.36 *** allocated 22500 integers for termspace/termends
% 22.96/23.36 *** allocated 50625 integers for clauses
% 22.96/23.36 Resimplifying inuse:
% 22.96/23.36 Done
% 22.96/23.36
% 22.96/23.36 *** allocated 75937 integers for clauses
% 22.96/23.36 *** allocated 33750 integers for termspace/termends
% 22.96/23.36 *** allocated 113905 integers for clauses
% 22.96/23.36 *** allocated 50625 integers for termspace/termends
% 22.96/23.36
% 22.96/23.36 Intermediate Status:
% 22.96/23.36 Generated: 19885
% 22.96/23.36 Kept: 2084
% 22.96/23.36 Inuse: 336
% 22.96/23.36 Deleted: 1
% 22.96/23.36 Deletedinuse: 1
% 22.96/23.36
% 22.96/23.36 Resimplifying inuse:
% 22.96/23.36 Done
% 22.96/23.36
% 22.96/23.36 *** allocated 170857 integers for clauses
% 22.96/23.36 *** allocated 75937 integers for termspace/termends
% 22.96/23.36 Resimplifying inuse:
% 22.96/23.36 Done
% 22.96/23.36
% 22.96/23.36 *** allocated 256285 integers for clauses
% 22.96/23.36 *** allocated 113905 integers for termspace/termends
% 22.96/23.36
% 22.96/23.36 Intermediate Status:
% 22.96/23.36 Generated: 40712
% 22.96/23.36 Kept: 4092
% 22.96/23.36 Inuse: 476
% 22.96/23.36 Deleted: 1
% 22.96/23.36 Deletedinuse: 1
% 22.96/23.36
% 22.96/23.36 Resimplifying inuse:
% 22.96/23.36 Done
% 22.96/23.36
% 22.96/23.36 Resimplifying inuse:
% 22.96/23.36 Done
% 22.96/23.36
% 22.96/23.36 *** allocated 170857 integers for termspace/termends
% 22.96/23.36 *** allocated 384427 integers for clauses
% 22.96/23.36
% 22.96/23.36 Intermediate Status:
% 22.96/23.36 Generated: 54359
% 22.96/23.36 Kept: 6217
% 22.96/23.36 Inuse: 546
% 22.96/23.36 Deleted: 1
% 22.96/23.36 Deletedinuse: 1
% 22.96/23.36
% 22.96/23.36 Resimplifying inuse:
% 22.96/23.36 Done
% 22.96/23.36
% 22.96/23.36 Resimplifying inuse:
% 22.96/23.36 Done
% 22.96/23.36
% 22.96/23.36 *** allocated 576640 integers for clauses
% 22.96/23.36
% 22.96/23.36 Intermediate Status:
% 22.96/23.36 Generated: 74983
% 22.96/23.36 Kept: 8221
% 22.96/23.36 Inuse: 716
% 22.96/23.36 Deleted: 2
% 22.96/23.36 Deletedinuse: 1
% 22.96/23.36
% 22.96/23.36 Resimplifying inuse:
% 22.96/23.36 Done
% 22.96/23.36
% 22.96/23.36 *** allocated 256285 integers for termspace/termends
% 22.96/23.36 Resimplifying inuse:
% 22.96/23.36 Done
% 22.96/23.36
% 22.96/23.36
% 22.96/23.36 Intermediate Status:
% 22.96/23.36 Generated: 96100
% 22.96/23.36 Kept: 10351
% 22.96/23.36 Inuse: 810
% 22.96/23.36 Deleted: 12
% 22.96/23.36 Deletedinuse: 6
% 22.96/23.36
% 22.96/23.36 Resimplifying inuse:
% 22.96/23.36 Done
% 22.96/23.36
% 22.96/23.36 Resimplifying inuse:
% 22.96/23.36 Done
% 22.96/23.36
% 22.96/23.36 *** allocated 864960 integers for clauses
% 22.96/23.36
% 22.96/23.36 Intermediate Status:
% 22.96/23.36 Generated: 107279
% 22.96/23.36 Kept: 12718
% 22.96/23.36 Inuse: 855
% 22.96/23.36 Deleted: 15
% 22.96/23.36 Deletedinuse: 9
% 22.96/23.36
% 22.96/23.36 Resimplifying inuse:
% 22.96/23.36 Done
% 22.96/23.36
% 22.96/23.36 Resimplifying inuse:
% 22.96/23.36 Done
% 22.96/23.36
% 22.96/23.36
% 22.96/23.36 Intermediate Status:
% 22.96/23.36 Generated: 121513
% 22.96/23.36 Kept: 14724
% 22.96/23.36 Inuse: 931
% 22.96/23.36 Deleted: 18
% 22.96/23.36 Deletedinuse: 10
% 22.96/23.36
% 22.96/23.36 Resimplifying inuse:
% 22.96/23.36 Done
% 22.96/23.36
% 22.96/23.36 *** allocated 384427 integers for termspace/termends
% 22.96/23.36 Resimplifying inuse:
% 22.96/23.36 Done
% 22.96/23.36
% 22.96/23.36
% 22.96/23.36 Intermediate Status:
% 22.96/23.36 Generated: 145869
% 22.96/23.36 Kept: 16730
% 22.96/23.36 Inuse: 1044
% 22.96/23.36 Deleted: 29
% 22.96/23.36 Deletedinuse: 10
% 22.96/23.36
% 22.96/23.36 Resimplifying inuse:
% 22.96/23.36 Done
% 22.96/23.36
% 22.96/23.36 Resimplifying inuse:
% 22.96/23.36 Done
% 22.96/23.36
% 22.96/23.36
% 22.96/23.36 Intermediate Status:
% 22.96/23.36 Generated: 159778
% 22.96/23.36 Kept: 18739
% 22.96/23.36 Inuse: 1136
% 22.96/23.36 Deleted: 78
% 22.96/23.36 Deletedinuse: 55
% 22.96/23.36
% 22.96/23.36 Resimplifying inuse:
% 22.96/23.36 Done
% 22.96/23.36
% 22.96/23.36 *** allocated 1297440 integers for clauses
% 22.96/23.36 Resimplifying inuse:
% 22.96/23.36 Done
% 22.96/23.36
% 22.96/23.36 Resimplifying clauses:
% 22.96/23.36 Done
% 22.96/23.36
% 22.96/23.36
% 22.96/23.36 Intermediate Status:
% 22.96/23.36 Generated: 174758
% 22.96/23.36 Kept: 20751
% 22.96/23.36 Inuse: 1262
% 22.96/23.36 Deleted: 1615
% 22.96/23.36 Deletedinuse: 59
% 22.96/23.36
% 22.96/23.36 Resimplifying inuse:
% 22.96/23.36 Done
% 22.96/23.36
% 22.96/23.36 Resimplifying inuse:
% 22.96/23.36 Done
% 22.96/23.36
% 22.96/23.36
% 22.96/23.36 Intermediate Status:
% 22.96/23.36 Generated: 190940
% 22.96/23.36 Kept: 22759
% 22.96/23.36 Inuse: 1415
% 22.96/23.36 Deleted: 1633
% 22.96/23.36 Deletedinuse: 77
% 22.96/23.36
% 22.96/23.36 Resimplifying inuse:
% 22.96/23.36 Done
% 22.96/23.36
% 22.96/23.36 Resimplifying inuse:
% 22.96/23.36 Done
% 22.96/23.36
% 22.96/23.36
% 22.96/23.36 Intermediate Status:
% 22.96/23.36 Generated: 205792
% 22.96/23.36 Kept: 24864
% 22.96/23.36 Inuse: 1522
% 22.96/23.36 Deleted: 1639
% 22.96/23.36 Deletedinuse: 82
% 22.96/23.36
% 22.96/23.36 Resimplifying inuse:
% 22.96/23.36 Done
% 22.96/23.36
% 22.96/23.36 *** allocated 576640 integers for termspace/termends
% 22.96/23.36 Resimplifying inuse:
% 22.96/23.36 Done
% 22.96/23.36
% 22.96/23.36
% 22.96/23.36 Intermediate Status:
% 22.96/23.36 Generated: 219812
% 22.96/23.36 Kept: 26865
% 22.96/23.36 Inuse: 1612
% 22.96/23.36 Deleted: 1653
% 22.96/23.36 Deletedinuse: 96
% 22.96/23.36
% 22.96/23.36 Resimplifying inuse:
% 22.96/23.36 Done
% 22.96/23.36
% 22.96/23.36 Resimplifying inuse:
% 22.96/23.36 Done
% 22.96/23.36
% 22.96/23.36
% 22.96/23.36 Intermediate Status:
% 22.96/23.36 Generated: 226921
% 22.96/23.36 Kept: 28865
% 22.96/23.36 Inuse: 1649
% 22.96/23.36 Deleted: 1657
% 22.96/23.36 Deletedinuse: 100
% 22.96/23.36
% 22.96/23.36 *** allocated 1946160 integers for clauses
% 22.96/23.36 Resimplifying inuse:
% 22.96/23.36 Done
% 22.96/23.36
% 22.96/23.36
% 22.96/23.36 Intermediate Status:
% 22.96/23.36 Generated: 234366
% 22.96/23.36 Kept: 30924
% 22.96/23.36 Inuse: 1672
% 22.96/23.36 Deleted: 1657
% 22.96/23.36 Deletedinuse: 100
% 22.96/23.36
% 22.96/23.36 Resimplifying inuse:
% 22.96/23.36 Done
% 22.96/23.36
% 22.96/23.36
% 22.96/23.36 Intermediate Status:
% 22.96/23.36 Generated: 242587
% 22.96/23.36 Kept: 33075
% 22.96/23.36 Inuse: 1687
% 22.96/23.36 Deleted: 1660
% 22.96/23.36 Deletedinuse: 103
% 22.96/23.36
% 22.96/23.36 Resimplifying inuse:
% 22.96/23.36 Done
% 22.96/23.36
% 22.96/23.36 Resimplifying inuse:
% 22.96/23.36 Done
% 22.96/23.36
% 22.96/23.36
% 22.96/23.36 Intermediate Status:
% 22.96/23.36 Generated: 260433
% 22.96/23.36 Kept: 35077
% 22.96/23.36 Inuse: 1786
% 22.96/23.36 Deleted: 1678
% 22.96/23.36 Deletedinuse: 116
% 22.96/23.36
% 22.96/23.36 Resimplifying inuse:
% 22.96/23.36 Done
% 22.96/23.36
% 22.96/23.36
% 22.96/23.36 Intermediate Status:
% 22.96/23.36 Generated: 274281
% 22.96/23.36 Kept: 38048
% 22.96/23.36 Inuse: 1874
% 22.96/23.36 Deleted: 1681
% 22.96/23.36 Deletedinuse: 116
% 22.96/23.36
% 22.96/23.36 Resimplifying inuse:
% 22.96/23.36 Done
% 22.96/23.36
% 22.96/23.36 Resimplifying inuse:
% 22.96/23.36 Done
% 22.96/23.36
% 22.96/23.36 Resimplifying clauses:
% 22.96/23.36 Done
% 22.96/23.36
% 22.96/23.36
% 22.96/23.36 Intermediate Status:
% 22.96/23.36 Generated: 291489
% 22.96/23.36 Kept: 40056
% 22.96/23.36 Inuse: 2056
% 22.96/23.36 Deleted: 6440
% 22.96/23.36 Deletedinuse: 120
% 22.96/23.36
% 22.96/23.36 Resimplifying inuse:
% 22.96/23.36 Done
% 22.96/23.36
% 22.96/23.36 *** allocated 864960 integers for termspace/termends
% 22.96/23.36 Resimplifying inuse:
% 22.96/23.36 Done
% 22.96/23.36
% 22.96/23.36
% 22.96/23.36 Intermediate Status:
% 22.96/23.36 Generated: 309646
% 22.96/23.36 Kept: 42065
% 22.96/23.36 Inuse: 2241
% 22.96/23.36 Deleted: 6447
% 22.96/23.36 Deletedinuse: 126
% 22.96/23.36
% 22.96/23.36 Resimplifying inuse:
% 22.96/23.36 Done
% 22.96/23.36
% 22.96/23.36 Resimplifying inuse:
% 22.96/23.36 Done
% 22.96/23.36
% 22.96/23.36
% 22.96/23.36 Intermediate Status:
% 22.96/23.36 Generated: 337432
% 22.96/23.36 Kept: 44068
% 22.96/23.36 Inuse: 2416
% 22.96/23.36 Deleted: 6452
% 22.96/23.36 Deletedinuse: 131
% 22.96/23.36
% 22.96/23.36 Resimplifying inuse:
% 22.96/23.36 Done
% 22.96/23.36
% 22.96/23.36 Resimplifying inuse:
% 22.96/23.36 Done
% 22.96/23.36
% 22.96/23.36
% 22.96/23.36 Intermediate Status:
% 22.96/23.36 Generated: 364453
% 22.96/23.36 Kept: 46070
% 22.96/23.36 Inuse: 2571
% 22.96/23.36 Deleted: 6461
% 22.96/23.36 Deletedinuse: 138
% 22.96/23.36
% 22.96/23.36 Resimplifying inuse:
% 22.96/23.36 Done
% 22.96/23.36
% 22.96/23.36 *** allocated 2919240 integers for clauses
% 22.96/23.36 Resimplifying inuse:
% 22.96/23.36 Done
% 22.96/23.36
% 22.96/23.36
% 22.96/23.36 Intermediate Status:
% 22.96/23.36 Generated: 401261
% 22.96/23.36 Kept: 48078
% 22.96/23.36 Inuse: 2677
% 22.96/23.36 Deleted: 6465
% 22.96/23.36 Deletedinuse: 142
% 22.96/23.36
% 22.96/23.36 Resimplifying inuse:
% 22.96/23.36 Done
% 22.96/23.36
% 22.96/23.36 Resimplifying inuse:
% 22.96/23.36 Done
% 22.96/23.36
% 22.96/23.36
% 22.96/23.36 Intermediate Status:
% 22.96/23.36 Generated: 446749
% 22.96/23.36 Kept: 50081
% 22.96/23.36 Inuse: 2794
% 22.96/23.36 Deleted: 6646
% 22.96/23.36 Deletedinuse: 261
% 22.96/23.36
% 22.96/23.36 Resimplifying inuse:
% 22.96/23.36 Done
% 22.96/23.36
% 22.96/23.36 Resimplifying inuse:
% 22.96/23.36 Done
% 22.96/23.36
% 22.96/23.36
% 22.96/23.36 Intermediate Status:
% 22.96/23.36 Generated: 507993
% 22.96/23.36 Kept: 52095
% 22.96/23.36 Inuse: 2920
% 22.96/23.36 Deleted: 6675
% 22.96/23.36 Deletedinuse: 261
% 22.96/23.36
% 22.96/23.36 Resimplifying inuse:
% 22.96/23.36 Done
% 22.96/23.36
% 22.96/23.36 Resimplifying inuse:
% 22.96/23.36 Done
% 22.96/23.36
% 22.96/23.36
% 22.96/23.36 Intermediate Status:
% 22.96/23.36 Generated: 588265
% 22.96/23.36 Kept: 54096
% 22.96/23.36 Inuse: 3056
% 22.96/23.36 Deleted: 6717
% 22.96/23.36 Deletedinuse: 269
% 22.96/23.36
% 22.96/23.36 Resimplifying inuse:
% 22.96/23.36
% 22.96/23.36 Bliksems!, er is een bewijs:
% 22.96/23.36 % SZS status Theorem
% 22.96/23.36 % SZS output start Refutation
% 22.96/23.36
% 22.96/23.36 (0) {G0,W8,D2,L2,V3,M2} I { ! coll( X, Y, Z ), coll( X, Z, Y ) }.
% 22.96/23.36 (1) {G0,W8,D2,L2,V3,M2} I { ! coll( X, Y, Z ), coll( Y, X, Z ) }.
% 22.96/23.36 (2) {G0,W12,D2,L3,V4,M3} I { ! coll( X, T, Y ), ! coll( X, T, Z ), coll( Y
% 22.96/23.36 , Z, X ) }.
% 22.96/23.36 (3) {G0,W10,D2,L2,V4,M2} I { ! para( X, Y, Z, T ), para( X, Y, T, Z ) }.
% 22.96/23.36 (6) {G0,W10,D2,L2,V4,M2} I { ! perp( X, Y, Z, T ), perp( X, Y, T, Z ) }.
% 22.96/23.36 (7) {G0,W10,D2,L2,V4,M2} I { ! perp( X, Y, Z, T ), perp( Z, T, X, Y ) }.
% 22.96/23.36 (8) {G0,W15,D2,L3,V6,M3} I { ! perp( X, Y, U, W ), ! perp( U, W, Z, T ),
% 22.96/23.36 para( X, Y, Z, T ) }.
% 22.96/23.36 (13) {G0,W10,D2,L2,V4,M2} I { ! cyclic( X, Y, Z, T ), cyclic( X, Y, T, Z )
% 22.96/23.36 }.
% 22.96/23.36 (14) {G0,W10,D2,L2,V4,M2} I { ! cyclic( X, Y, Z, T ), cyclic( X, Z, Y, T )
% 22.96/23.36 }.
% 22.96/23.36 (15) {G0,W10,D2,L2,V4,M2} I { ! cyclic( X, Y, Z, T ), cyclic( Y, X, Z, T )
% 22.96/23.36 }.
% 22.96/23.36 (16) {G0,W15,D2,L3,V5,M3} I { ! cyclic( U, X, Y, Z ), ! cyclic( U, X, Y, T
% 22.96/23.36 ), cyclic( X, Y, Z, T ) }.
% 22.96/23.36 (18) {G0,W18,D2,L2,V8,M2} I { ! eqangle( X, Y, Z, T, U, W, V0, V1 ),
% 22.96/23.36 eqangle( Z, T, X, Y, V0, V1, U, W ) }.
% 22.96/23.36 (19) {G0,W18,D2,L2,V8,M2} I { ! eqangle( X, Y, Z, T, U, W, V0, V1 ),
% 22.96/23.36 eqangle( U, W, V0, V1, X, Y, Z, T ) }.
% 22.96/23.36 (38) {G0,W14,D2,L2,V6,M2} I { ! eqangle( X, Y, U, W, Z, T, U, W ), para( X
% 22.96/23.36 , Y, Z, T ) }.
% 22.96/23.36 (39) {G0,W14,D2,L2,V6,M2} I { ! para( X, Y, Z, T ), eqangle( X, Y, U, W, Z
% 22.96/23.36 , T, U, W ) }.
% 22.96/23.36 (40) {G0,W14,D2,L2,V4,M2} I { ! cyclic( X, Y, Z, T ), eqangle( Z, X, Z, Y,
% 22.96/23.36 T, X, T, Y ) }.
% 22.96/23.36 (42) {G0,W18,D2,L3,V4,M3} I { ! eqangle( Z, X, Z, Y, T, X, T, Y ), ! coll(
% 22.96/23.36 Z, T, Y ), cyclic( X, Y, Z, T ) }.
% 22.96/23.36 (43) {G0,W29,D2,L5,V6,M5} I { ! cyclic( X, Y, U, Z ), ! cyclic( X, Y, U, T
% 22.96/23.36 ), ! cyclic( X, Y, U, W ), ! eqangle( U, X, U, Y, W, Z, W, T ), cong( X
% 22.96/23.36 , Y, Z, T ) }.
% 22.96/23.36 (53) {G0,W14,D2,L3,V4,M3} I { ! circle( T, X, Y, Z ), ! coll( T, X, Z ),
% 22.96/23.36 perp( X, Y, Y, Z ) }.
% 22.96/23.36 (56) {G0,W15,D2,L3,V4,M3} I { ! cong( X, Z, Y, Z ), ! cong( X, T, Y, T ),
% 22.96/23.36 perp( X, Y, Z, T ) }.
% 22.96/23.36 (96) {G0,W14,D2,L3,V4,M3} I { ! perp( X, T, Y, Z ), ! perp( Y, T, X, Z ),
% 22.96/23.36 alpha1( X, Y, Z ) }.
% 22.96/23.36 (97) {G0,W11,D3,L2,V4,M2} I { ! alpha1( X, Y, Z ), coll( skol11( X, T, Z )
% 22.96/23.36 , Z, X ) }.
% 22.96/23.36 (100) {G0,W12,D3,L2,V4,M2} I { ! circle( Y, X, Z, T ), perp( skol12( X, Y )
% 22.96/23.36 , X, X, Y ) }.
% 22.96/23.36 (116) {G0,W5,D2,L1,V0,M1} I { circle( skol26, skol20, skol22, skol25 ) }.
% 22.96/23.36 (117) {G0,W4,D2,L1,V0,M1} I { coll( skol27, skol20, skol22 ) }.
% 22.96/23.36 (120) {G0,W5,D2,L1,V0,M1} I { circle( skol26, skol25, skol24, skol29 ) }.
% 22.96/23.36 (121) {G0,W4,D2,L1,V0,M1} I { coll( skol24, skol25, skol27 ) }.
% 22.96/23.36 (122) {G0,W5,D2,L1,V0,M1} I { ! para( skol20, skol22, skol24, skol23 ) }.
% 22.96/23.37 (123) {G1,W8,D2,L2,V3,M2} F(2) { ! coll( X, Y, Z ), coll( Z, Z, X ) }.
% 22.96/23.37 (160) {G1,W4,D2,L1,V0,M1} R(0,117) { coll( skol27, skol22, skol20 ) }.
% 22.96/23.37 (165) {G2,W4,D2,L1,V0,M1} R(1,160) { coll( skol22, skol27, skol20 ) }.
% 22.96/23.37 (166) {G1,W8,D2,L2,V3,M2} R(1,0) { coll( X, Y, Z ), ! coll( Y, Z, X ) }.
% 22.96/23.37 (167) {G1,W8,D2,L2,V3,M2} R(1,0) { ! coll( X, Y, Z ), coll( Y, Z, X ) }.
% 22.96/23.37 (174) {G1,W16,D2,L4,V5,M4} R(2,2) { ! coll( X, Y, Z ), coll( Z, T, X ), !
% 22.96/23.37 coll( T, U, X ), ! coll( T, U, Y ) }.
% 22.96/23.37 (193) {G1,W12,D2,L3,V4,M3} R(2,0) { ! coll( X, Y, Z ), ! coll( X, Y, T ),
% 22.96/23.37 coll( Z, X, T ) }.
% 22.96/23.37 (198) {G2,W8,D2,L2,V3,M2} F(193) { ! coll( X, Y, Z ), coll( Z, X, Z ) }.
% 22.96/23.37 (216) {G3,W12,D2,L3,V4,M3} R(198,2) { coll( X, Y, X ), ! coll( X, Z, Y ), !
% 22.96/23.37 coll( X, Z, T ) }.
% 22.96/23.37 (226) {G3,W4,D2,L1,V0,M1} R(198,160) { coll( skol20, skol27, skol20 ) }.
% 22.96/23.37 (229) {G3,W4,D2,L1,V0,M1} R(198,121) { coll( skol27, skol24, skol27 ) }.
% 22.96/23.37 (230) {G4,W8,D2,L2,V3,M2} F(216) { coll( X, Y, X ), ! coll( X, Z, Y ) }.
% 22.96/23.37 (280) {G1,W15,D2,L3,V6,M3} R(8,7) { ! perp( X, Y, Z, T ), para( U, W, Z, T
% 22.96/23.37 ), ! perp( X, Y, U, W ) }.
% 22.96/23.37 (292) {G2,W10,D2,L2,V4,M2} F(280) { ! perp( X, Y, Z, T ), para( Z, T, Z, T
% 22.96/23.37 ) }.
% 22.96/23.37 (341) {G4,W4,D2,L1,V0,M1} R(229,0) { coll( skol27, skol27, skol24 ) }.
% 22.96/23.37 (343) {G5,W8,D2,L2,V1,M2} R(341,2) { ! coll( skol27, skol27, X ), coll(
% 22.96/23.37 skol24, X, skol27 ) }.
% 22.96/23.37 (349) {G1,W10,D2,L2,V4,M2} R(14,13) { ! cyclic( X, Y, Z, T ), cyclic( X, Z
% 22.96/23.37 , T, Y ) }.
% 22.96/23.37 (361) {G1,W10,D2,L2,V4,M2} R(15,14) { cyclic( X, Y, Z, T ), ! cyclic( Y, Z
% 22.96/23.37 , X, T ) }.
% 22.96/23.37 (363) {G1,W10,D2,L2,V4,M2} R(15,13) { cyclic( X, Y, Z, T ), ! cyclic( Y, X
% 22.96/23.37 , T, Z ) }.
% 22.96/23.37 (380) {G1,W15,D2,L3,V5,M3} R(16,15) { ! cyclic( X, Y, Z, T ), ! cyclic( X,
% 22.96/23.37 Y, Z, U ), cyclic( Z, Y, T, U ) }.
% 22.96/23.37 (385) {G1,W15,D2,L3,V5,M3} R(16,13) { ! cyclic( X, Y, Z, T ), cyclic( Y, Z
% 22.96/23.37 , T, U ), ! cyclic( X, Y, U, Z ) }.
% 22.96/23.37 (389) {G2,W10,D2,L2,V4,M2} F(380) { ! cyclic( X, Y, Z, T ), cyclic( Z, Y, T
% 22.96/23.37 , T ) }.
% 22.96/23.37 (394) {G5,W8,D2,L2,V3,M2} R(230,1) { ! coll( X, Y, Z ), coll( Z, X, X ) }.
% 22.96/23.37 (400) {G6,W8,D2,L2,V3,M2} R(394,1) { coll( X, Y, Y ), ! coll( Z, Y, X ) }.
% 22.96/23.37 (402) {G6,W8,D2,L2,V3,M2} R(394,0) { coll( X, Y, Y ), ! coll( Y, X, Z ) }.
% 22.96/23.37 (459) {G7,W8,D2,L2,V3,M2} R(402,402) { ! coll( X, Y, Z ), coll( X, Y, Y )
% 22.96/23.37 }.
% 22.96/23.37 (470) {G8,W12,D2,L3,V4,M3} R(459,2) { ! coll( X, Y, Z ), ! coll( X, Y, T )
% 22.96/23.37 , coll( T, Y, X ) }.
% 22.96/23.37 (471) {G9,W8,D2,L2,V3,M2} F(470) { ! coll( X, Y, Z ), coll( Z, Y, X ) }.
% 22.96/23.37 (472) {G10,W8,D2,L2,V3,M2} R(471,459) { coll( X, X, Y ), ! coll( Y, X, Z )
% 22.96/23.37 }.
% 22.96/23.37 (473) {G10,W8,D2,L2,V3,M2} R(471,402) { coll( X, X, Y ), ! coll( X, Y, Z )
% 22.96/23.37 }.
% 22.96/23.37 (475) {G10,W8,D2,L2,V3,M2} R(471,400) { coll( X, X, Y ), ! coll( Z, X, Y )
% 22.96/23.37 }.
% 22.96/23.37 (538) {G6,W8,D2,L2,V2,M2} R(343,123) { coll( skol24, X, skol27 ), ! coll( X
% 22.96/23.37 , Y, skol27 ) }.
% 22.96/23.37 (655) {G7,W8,D2,L2,V2,M2} R(538,167) { ! coll( X, Y, skol27 ), coll( X,
% 22.96/23.37 skol27, skol24 ) }.
% 22.96/23.37 (677) {G11,W8,D2,L2,V2,M2} R(655,473) { coll( X, skol27, skol24 ), ! coll(
% 22.96/23.37 X, skol27, Y ) }.
% 22.96/23.37 (775) {G1,W9,D2,L1,V2,M1} R(38,122) { ! eqangle( skol20, skol22, X, Y,
% 22.96/23.37 skol24, skol23, X, Y ) }.
% 22.96/23.37 (791) {G1,W14,D2,L2,V6,M2} R(39,18) { ! para( X, Y, Z, T ), eqangle( U, W,
% 22.96/23.37 X, Y, U, W, Z, T ) }.
% 22.96/23.37 (795) {G1,W14,D2,L2,V6,M2} R(39,3) { eqangle( X, Y, Z, T, U, W, Z, T ), !
% 22.96/23.37 para( X, Y, W, U ) }.
% 22.96/23.37 (867) {G1,W18,D2,L3,V4,M3} R(42,19) { ! coll( X, Y, Z ), cyclic( T, Z, X, Y
% 22.96/23.37 ), ! eqangle( Y, T, Y, Z, X, T, X, Z ) }.
% 22.96/23.37 (945) {G1,W20,D2,L4,V4,M4} R(43,40);f { ! cyclic( X, Y, Z, X ), ! cyclic( X
% 22.96/23.37 , Y, Z, Y ), ! cyclic( X, Y, Z, T ), cong( X, Y, X, Y ) }.
% 22.96/23.37 (977) {G2,W15,D2,L3,V3,M3} F(945) { ! cyclic( X, Y, Z, X ), ! cyclic( X, Y
% 22.96/23.37 , Z, Y ), cong( X, Y, X, Y ) }.
% 22.96/23.37 (1511) {G1,W9,D2,L2,V0,M2} R(53,116) { ! coll( skol26, skol20, skol25 ),
% 22.96/23.37 perp( skol20, skol22, skol22, skol25 ) }.
% 22.96/23.37 (1890) {G12,W12,D2,L3,V3,M3} R(677,2) { ! coll( X, skol27, Y ), ! coll( X,
% 22.96/23.37 skol27, Z ), coll( skol24, Z, X ) }.
% 22.96/23.37 (1893) {G13,W8,D2,L2,V2,M2} F(1890) { ! coll( X, skol27, Y ), coll( skol24
% 22.96/23.37 , Y, X ) }.
% 22.96/23.37 (1910) {G14,W4,D2,L1,V0,M1} R(1893,165) { coll( skol24, skol20, skol22 )
% 22.96/23.37 }.
% 22.96/23.37 (1913) {G14,W8,D2,L2,V2,M2} R(1893,0) { coll( skol24, X, Y ), ! coll( Y, X
% 22.96/23.37 , skol27 ) }.
% 22.96/23.37 (1982) {G15,W8,D2,L2,V1,M2} R(1910,2) { ! coll( skol24, skol20, X ), coll(
% 22.96/23.37 skol22, X, skol24 ) }.
% 22.96/23.37 (3064) {G16,W8,D2,L2,V1,M2} R(1982,1913) { coll( skol22, X, skol24 ), !
% 22.96/23.37 coll( X, skol20, skol27 ) }.
% 22.96/23.37 (3106) {G17,W8,D2,L2,V1,M2} R(3064,167) { ! coll( X, skol20, skol27 ), coll
% 22.96/23.37 ( X, skol24, skol22 ) }.
% 22.96/23.37 (3124) {G18,W8,D2,L2,V1,M2} R(3106,167) { coll( X, skol24, skol22 ), ! coll
% 22.96/23.37 ( skol27, X, skol20 ) }.
% 22.96/23.37 (3477) {G19,W8,D2,L2,V1,M2} R(3124,123) { ! coll( skol27, X, skol20 ), coll
% 22.96/23.37 ( skol22, skol22, X ) }.
% 22.96/23.37 (3494) {G20,W8,D2,L2,V1,M2} R(3477,167) { coll( skol22, skol22, X ), ! coll
% 22.96/23.37 ( skol20, skol27, X ) }.
% 22.96/23.37 (3748) {G21,W8,D2,L2,V1,M2} R(3494,123) { ! coll( skol20, skol27, X ), coll
% 22.96/23.37 ( X, X, skol22 ) }.
% 22.96/23.37 (3760) {G22,W8,D2,L2,V1,M2} R(3748,471) { coll( X, X, skol22 ), ! coll( X,
% 22.96/23.37 skol27, skol20 ) }.
% 22.96/23.37 (3915) {G23,W8,D2,L2,V1,M2} R(3760,166) { ! coll( X, skol27, skol20 ), coll
% 22.96/23.37 ( skol22, X, X ) }.
% 22.96/23.37 (4237) {G11,W8,D2,L2,V3,M2} R(97,475) { ! alpha1( X, Y, Z ), coll( Z, Z, X
% 22.96/23.37 ) }.
% 22.96/23.37 (4743) {G1,W7,D3,L1,V0,M1} R(100,116) { perp( skol12( skol20, skol26 ),
% 22.96/23.37 skol20, skol20, skol26 ) }.
% 22.96/23.37 (4744) {G1,W7,D3,L1,V0,M1} R(100,120) { perp( skol12( skol25, skol26 ),
% 22.96/23.37 skol25, skol25, skol26 ) }.
% 22.96/23.37 (4757) {G2,W7,D3,L1,V0,M1} R(4743,7) { perp( skol20, skol26, skol12( skol20
% 22.96/23.37 , skol26 ), skol20 ) }.
% 22.96/23.37 (4768) {G3,W7,D3,L1,V0,M1} R(4757,6) { perp( skol20, skol26, skol20, skol12
% 22.96/23.37 ( skol20, skol26 ) ) }.
% 22.96/23.37 (4778) {G4,W7,D3,L1,V0,M1} R(4768,7) { perp( skol20, skol12( skol20, skol26
% 22.96/23.37 ), skol20, skol26 ) }.
% 22.96/23.37 (4919) {G5,W4,D2,L1,V0,M1} R(4778,96);r(4778) { alpha1( skol20, skol20,
% 22.96/23.37 skol26 ) }.
% 22.96/23.37 (5073) {G12,W4,D2,L1,V0,M1} R(4919,4237) { coll( skol26, skol26, skol20 )
% 22.96/23.37 }.
% 22.96/23.37 (7086) {G2,W7,D3,L1,V0,M1} R(4744,7) { perp( skol25, skol26, skol12( skol25
% 22.96/23.37 , skol26 ), skol25 ) }.
% 22.96/23.37 (7097) {G3,W7,D3,L1,V0,M1} R(7086,6) { perp( skol25, skol26, skol25, skol12
% 22.96/23.37 ( skol25, skol26 ) ) }.
% 22.96/23.37 (7107) {G4,W7,D3,L1,V0,M1} R(7097,7) { perp( skol25, skol12( skol25, skol26
% 22.96/23.37 ), skol25, skol26 ) }.
% 22.96/23.37 (7138) {G5,W4,D2,L1,V0,M1} R(7107,96);r(7107) { alpha1( skol25, skol25,
% 22.96/23.37 skol26 ) }.
% 22.96/23.37 (7155) {G12,W4,D2,L1,V0,M1} R(7138,4237) { coll( skol26, skol26, skol25 )
% 22.96/23.37 }.
% 22.96/23.37 (7197) {G13,W8,D2,L2,V1,M2} R(7155,2) { ! coll( skol26, skol26, X ), coll(
% 22.96/23.37 skol25, X, skol26 ) }.
% 22.96/23.37 (8306) {G14,W4,D2,L1,V0,M1} R(7197,5073) { coll( skol25, skol20, skol26 )
% 22.96/23.37 }.
% 22.96/23.37 (8386) {G15,W4,D2,L1,V0,M1} R(8306,472) { coll( skol20, skol20, skol25 )
% 22.96/23.37 }.
% 22.96/23.37 (8387) {G15,W4,D2,L1,V0,M1} R(8306,471) { coll( skol26, skol20, skol25 )
% 22.96/23.37 }.
% 22.96/23.37 (9213) {G16,W8,D2,L2,V2,M2} R(174,8386);f { coll( skol25, X, skol20 ), !
% 22.96/23.37 coll( X, Y, skol20 ) }.
% 22.96/23.37 (9647) {G24,W4,D2,L1,V0,M1} R(9213,3915);r(226) { coll( skol25, skol22,
% 22.96/23.37 skol20 ) }.
% 22.96/23.37 (9732) {G25,W4,D2,L1,V0,M1} R(9647,472) { coll( skol22, skol22, skol25 )
% 22.96/23.37 }.
% 22.96/23.37 (20015) {G16,W5,D2,L1,V0,M1} S(1511);r(8387) { perp( skol20, skol22, skol22
% 22.96/23.37 , skol25 ) }.
% 22.96/23.37 (20027) {G17,W5,D2,L1,V0,M1} R(20015,292) { para( skol22, skol25, skol22,
% 22.96/23.37 skol25 ) }.
% 22.96/23.37 (43678) {G18,W9,D2,L1,V2,M1} R(791,20027) { eqangle( X, Y, skol22, skol25,
% 22.96/23.37 X, Y, skol22, skol25 ) }.
% 22.96/23.37 (47955) {G26,W5,D2,L1,V1,M1} R(867,9732);r(43678) { cyclic( X, skol25,
% 22.96/23.37 skol22, skol22 ) }.
% 22.96/23.37 (48048) {G27,W5,D2,L1,V1,M1} R(47955,363) { cyclic( skol25, X, skol22,
% 22.96/23.37 skol22 ) }.
% 22.96/23.37 (48060) {G28,W5,D2,L1,V1,M1} R(48048,389) { cyclic( skol22, X, skol22,
% 22.96/23.37 skol22 ) }.
% 22.96/23.37 (48082) {G29,W5,D2,L1,V1,M1} R(48060,361) { cyclic( skol22, skol22, X,
% 22.96/23.37 skol22 ) }.
% 22.96/23.37 (48083) {G29,W5,D2,L1,V1,M1} R(48060,349) { cyclic( skol22, skol22, skol22
% 22.96/23.37 , X ) }.
% 22.96/23.37 (48088) {G30,W5,D2,L1,V2,M1} R(48082,385);r(48083) { cyclic( skol22, skol22
% 22.96/23.37 , X, Y ) }.
% 22.96/23.37 (48288) {G31,W5,D2,L1,V3,M1} R(48088,385);r(48088) { cyclic( skol22, X, Y,
% 22.96/23.37 Z ) }.
% 22.96/23.37 (48307) {G32,W5,D2,L1,V4,M1} R(48288,385);r(48288) { cyclic( X, Y, Z, T )
% 22.96/23.37 }.
% 22.96/23.37 (54269) {G33,W5,D2,L1,V2,M1} S(977);r(48307);r(48307) { cong( X, Y, X, Y )
% 22.96/23.37 }.
% 22.96/23.37 (54286) {G34,W5,D2,L1,V3,M1} R(54269,56);r(54269) { perp( X, X, Z, Y ) }.
% 22.96/23.37 (54315) {G35,W5,D2,L1,V4,M1} R(54286,280);r(54286) { para( X, Y, Z, T ) }.
% 22.96/23.37 (54338) {G36,W9,D2,L1,V6,M1} S(795);r(54315) { eqangle( X, Y, Z, T, U, W, Z
% 22.96/23.37 , T ) }.
% 22.96/23.37 (54341) {G37,W0,D0,L0,V0,M0} S(775);r(54338) { }.
% 22.96/23.37
% 22.96/23.37
% 22.96/23.37 % SZS output end Refutation
% 22.96/23.37 found a proof!
% 22.96/23.37
% 22.96/23.37
% 22.96/23.37 Unprocessed initial clauses:
% 22.96/23.37
% 22.96/23.37 (54343) {G0,W8,D2,L2,V3,M2} { ! coll( X, Y, Z ), coll( X, Z, Y ) }.
% 22.96/23.37 (54344) {G0,W8,D2,L2,V3,M2} { ! coll( X, Y, Z ), coll( Y, X, Z ) }.
% 22.96/23.37 (54345) {G0,W12,D2,L3,V4,M3} { ! coll( X, T, Y ), ! coll( X, T, Z ), coll
% 22.96/23.37 ( Y, Z, X ) }.
% 22.96/23.37 (54346) {G0,W10,D2,L2,V4,M2} { ! para( X, Y, Z, T ), para( X, Y, T, Z )
% 22.96/23.37 }.
% 22.96/23.37 (54347) {G0,W10,D2,L2,V4,M2} { ! para( X, Y, Z, T ), para( Z, T, X, Y )
% 22.96/23.37 }.
% 22.96/23.37 (54348) {G0,W15,D2,L3,V6,M3} { ! para( X, Y, U, W ), ! para( U, W, Z, T )
% 22.96/23.37 , para( X, Y, Z, T ) }.
% 22.96/23.37 (54349) {G0,W10,D2,L2,V4,M2} { ! perp( X, Y, Z, T ), perp( X, Y, T, Z )
% 22.96/23.37 }.
% 22.96/23.37 (54350) {G0,W10,D2,L2,V4,M2} { ! perp( X, Y, Z, T ), perp( Z, T, X, Y )
% 22.96/23.37 }.
% 22.96/23.37 (54351) {G0,W15,D2,L3,V6,M3} { ! perp( X, Y, U, W ), ! perp( U, W, Z, T )
% 22.96/23.37 , para( X, Y, Z, T ) }.
% 22.96/23.37 (54352) {G0,W15,D2,L3,V6,M3} { ! para( X, Y, U, W ), ! perp( U, W, Z, T )
% 22.96/23.37 , perp( X, Y, Z, T ) }.
% 22.96/23.37 (54353) {G0,W8,D2,L2,V3,M2} { ! midp( Z, Y, X ), midp( Z, X, Y ) }.
% 22.96/23.37 (54354) {G0,W15,D2,L3,V4,M3} { ! cong( T, X, T, Y ), ! cong( T, X, T, Z )
% 22.96/23.37 , circle( T, X, Y, Z ) }.
% 22.96/23.37 (54355) {G0,W20,D2,L4,V5,M4} { ! cong( U, X, U, Y ), ! cong( U, X, U, Z )
% 22.96/23.37 , ! cong( U, X, U, T ), cyclic( X, Y, Z, T ) }.
% 22.96/23.37 (54356) {G0,W10,D2,L2,V4,M2} { ! cyclic( X, Y, Z, T ), cyclic( X, Y, T, Z
% 22.96/23.37 ) }.
% 22.96/23.37 (54357) {G0,W10,D2,L2,V4,M2} { ! cyclic( X, Y, Z, T ), cyclic( X, Z, Y, T
% 22.96/23.37 ) }.
% 22.96/23.37 (54358) {G0,W10,D2,L2,V4,M2} { ! cyclic( X, Y, Z, T ), cyclic( Y, X, Z, T
% 22.96/23.37 ) }.
% 22.96/23.37 (54359) {G0,W15,D2,L3,V5,M3} { ! cyclic( U, X, Y, Z ), ! cyclic( U, X, Y,
% 22.96/23.37 T ), cyclic( X, Y, Z, T ) }.
% 22.96/23.37 (54360) {G0,W18,D2,L2,V8,M2} { ! eqangle( X, Y, Z, T, U, W, V0, V1 ),
% 22.96/23.37 eqangle( Y, X, Z, T, U, W, V0, V1 ) }.
% 22.96/23.37 (54361) {G0,W18,D2,L2,V8,M2} { ! eqangle( X, Y, Z, T, U, W, V0, V1 ),
% 22.96/23.37 eqangle( Z, T, X, Y, V0, V1, U, W ) }.
% 22.96/23.37 (54362) {G0,W18,D2,L2,V8,M2} { ! eqangle( X, Y, Z, T, U, W, V0, V1 ),
% 22.96/23.37 eqangle( U, W, V0, V1, X, Y, Z, T ) }.
% 22.96/23.37 (54363) {G0,W18,D2,L2,V8,M2} { ! eqangle( X, Y, Z, T, U, W, V0, V1 ),
% 22.96/23.37 eqangle( X, Y, U, W, Z, T, V0, V1 ) }.
% 22.96/23.37 (54364) {G0,W27,D2,L3,V12,M3} { ! eqangle( X, Y, Z, T, V2, V3, V4, V5 ), !
% 22.96/23.37 eqangle( V2, V3, V4, V5, U, W, V0, V1 ), eqangle( X, Y, Z, T, U, W, V0,
% 22.96/23.37 V1 ) }.
% 22.96/23.37 (54365) {G0,W10,D2,L2,V4,M2} { ! cong( X, Y, Z, T ), cong( X, Y, T, Z )
% 22.96/23.37 }.
% 22.96/23.37 (54366) {G0,W10,D2,L2,V4,M2} { ! cong( X, Y, Z, T ), cong( Z, T, X, Y )
% 22.96/23.37 }.
% 22.96/23.37 (54367) {G0,W15,D2,L3,V6,M3} { ! cong( X, Y, U, W ), ! cong( U, W, Z, T )
% 22.96/23.37 , cong( X, Y, Z, T ) }.
% 22.96/23.37 (54368) {G0,W18,D2,L2,V8,M2} { ! eqratio( X, Y, Z, T, U, W, V0, V1 ),
% 22.96/23.37 eqratio( Y, X, Z, T, U, W, V0, V1 ) }.
% 22.96/23.37 (54369) {G0,W18,D2,L2,V8,M2} { ! eqratio( X, Y, Z, T, U, W, V0, V1 ),
% 22.96/23.37 eqratio( Z, T, X, Y, V0, V1, U, W ) }.
% 22.96/23.37 (54370) {G0,W18,D2,L2,V8,M2} { ! eqratio( X, Y, Z, T, U, W, V0, V1 ),
% 22.96/23.37 eqratio( U, W, V0, V1, X, Y, Z, T ) }.
% 22.96/23.37 (54371) {G0,W18,D2,L2,V8,M2} { ! eqratio( X, Y, Z, T, U, W, V0, V1 ),
% 22.96/23.37 eqratio( X, Y, U, W, Z, T, V0, V1 ) }.
% 22.96/23.37 (54372) {G0,W27,D2,L3,V12,M3} { ! eqratio( X, Y, Z, T, V2, V3, V4, V5 ), !
% 22.96/23.37 eqratio( V2, V3, V4, V5, U, W, V0, V1 ), eqratio( X, Y, Z, T, U, W, V0,
% 22.96/23.37 V1 ) }.
% 22.96/23.37 (54373) {G0,W14,D2,L2,V6,M2} { ! simtri( X, Z, Y, T, W, U ), simtri( X, Y
% 22.96/23.37 , Z, T, U, W ) }.
% 22.96/23.37 (54374) {G0,W14,D2,L2,V6,M2} { ! simtri( Y, X, Z, U, T, W ), simtri( X, Y
% 22.96/23.37 , Z, T, U, W ) }.
% 22.96/23.37 (54375) {G0,W14,D2,L2,V6,M2} { ! simtri( T, U, W, X, Y, Z ), simtri( X, Y
% 22.96/23.37 , Z, T, U, W ) }.
% 22.96/23.37 (54376) {G0,W21,D2,L3,V9,M3} { ! simtri( X, Y, Z, V0, V1, V2 ), ! simtri(
% 22.96/23.37 V0, V1, V2, T, U, W ), simtri( X, Y, Z, T, U, W ) }.
% 22.96/23.37 (54377) {G0,W14,D2,L2,V6,M2} { ! contri( X, Z, Y, T, W, U ), contri( X, Y
% 22.96/23.37 , Z, T, U, W ) }.
% 22.96/23.37 (54378) {G0,W14,D2,L2,V6,M2} { ! contri( Y, X, Z, U, T, W ), contri( X, Y
% 22.96/23.37 , Z, T, U, W ) }.
% 22.96/23.37 (54379) {G0,W14,D2,L2,V6,M2} { ! contri( T, U, W, X, Y, Z ), contri( X, Y
% 22.96/23.37 , Z, T, U, W ) }.
% 22.96/23.37 (54380) {G0,W21,D2,L3,V9,M3} { ! contri( X, Y, Z, V0, V1, V2 ), ! contri(
% 22.96/23.37 V0, V1, V2, T, U, W ), contri( X, Y, Z, T, U, W ) }.
% 22.96/23.37 (54381) {G0,W14,D2,L2,V6,M2} { ! eqangle( X, Y, U, W, Z, T, U, W ), para(
% 22.96/23.37 X, Y, Z, T ) }.
% 22.96/23.37 (54382) {G0,W14,D2,L2,V6,M2} { ! para( X, Y, Z, T ), eqangle( X, Y, U, W,
% 22.96/23.37 Z, T, U, W ) }.
% 22.96/23.37 (54383) {G0,W14,D2,L2,V4,M2} { ! cyclic( X, Y, Z, T ), eqangle( Z, X, Z, Y
% 22.96/23.37 , T, X, T, Y ) }.
% 22.96/23.37 (54384) {G0,W18,D2,L3,V4,M3} { ! eqangle( Z, X, Z, Y, T, X, T, Y ), coll(
% 22.96/23.37 Z, T, X ), cyclic( X, Y, Z, T ) }.
% 22.96/23.37 (54385) {G0,W18,D2,L3,V4,M3} { ! eqangle( Z, X, Z, Y, T, X, T, Y ), ! coll
% 22.96/23.37 ( Z, T, Y ), cyclic( X, Y, Z, T ) }.
% 22.96/23.37 (54386) {G0,W29,D2,L5,V6,M5} { ! cyclic( X, Y, U, Z ), ! cyclic( X, Y, U,
% 22.96/23.37 T ), ! cyclic( X, Y, U, W ), ! eqangle( U, X, U, Y, W, Z, W, T ), cong( X
% 22.96/23.37 , Y, Z, T ) }.
% 22.96/23.37 (54387) {G0,W13,D2,L3,V5,M3} { ! midp( Z, U, X ), ! midp( T, U, Y ), para
% 22.96/23.37 ( Z, T, X, Y ) }.
% 22.96/23.37 (54388) {G0,W17,D2,L4,V5,M4} { ! midp( U, X, T ), ! para( U, Z, T, Y ), !
% 22.96/23.37 coll( Z, X, Y ), midp( Z, X, Y ) }.
% 22.96/23.37 (54389) {G0,W14,D2,L2,V3,M2} { ! cong( Z, X, Z, Y ), eqangle( Z, X, X, Y,
% 22.96/23.37 X, Y, Z, Y ) }.
% 22.96/23.37 (54390) {G0,W18,D2,L3,V3,M3} { ! eqangle( Z, X, X, Y, X, Y, Z, Y ), coll(
% 22.96/23.37 Z, X, Y ), cong( Z, X, Z, Y ) }.
% 22.96/23.37 (54391) {G0,W19,D2,L3,V5,M3} { ! circle( U, X, Y, Z ), ! perp( U, X, X, T
% 22.96/23.37 ), eqangle( X, T, X, Y, Z, X, Z, Y ) }.
% 22.96/23.37 (54392) {G0,W19,D2,L3,V5,M3} { ! circle( Y, X, T, U ), ! eqangle( X, Z, X
% 22.96/23.37 , T, U, X, U, T ), perp( Y, X, X, Z ) }.
% 22.96/23.37 (54393) {G0,W18,D2,L3,V5,M3} { ! circle( T, X, Y, Z ), ! midp( U, Y, Z ),
% 22.96/23.37 eqangle( X, Y, X, Z, T, Y, T, U ) }.
% 22.96/23.37 (54394) {G0,W22,D2,L4,V5,M4} { ! circle( U, T, X, Y ), ! coll( Z, X, Y ),
% 22.96/23.37 ! eqangle( T, X, T, Y, U, X, U, Z ), midp( Z, X, Y ) }.
% 22.96/23.37 (54395) {G0,W14,D2,L3,V4,M3} { ! perp( X, Y, Y, T ), ! midp( Z, X, T ),
% 22.96/23.37 cong( X, Z, Y, Z ) }.
% 22.96/23.37 (54396) {G0,W14,D2,L3,V4,M3} { ! circle( T, X, Y, Z ), ! coll( T, X, Z ),
% 22.96/23.37 perp( X, Y, Y, Z ) }.
% 22.96/23.37 (54397) {G0,W19,D2,L3,V4,M3} { ! cyclic( X, Y, Z, T ), ! para( X, Y, Z, T
% 22.96/23.37 ), eqangle( X, T, Z, T, Z, T, Z, Y ) }.
% 22.96/23.37 (54398) {G0,W14,D2,L3,V4,M3} { ! midp( T, X, Y ), ! perp( Z, T, X, Y ),
% 22.96/23.37 cong( Z, X, Z, Y ) }.
% 22.96/23.37 (54399) {G0,W15,D2,L3,V4,M3} { ! cong( X, Z, Y, Z ), ! cong( X, T, Y, T )
% 22.96/23.37 , perp( X, Y, Z, T ) }.
% 22.96/23.37 (54400) {G0,W20,D2,L4,V4,M4} { ! cong( X, Y, T, Y ), ! cong( X, Z, T, Z )
% 22.96/23.37 , ! cyclic( X, T, Y, Z ), perp( Y, X, X, Z ) }.
% 22.96/23.37 (54401) {G0,W29,D2,L4,V6,M4} { ! eqangle( X, Y, Y, Z, T, U, U, W ), !
% 22.96/23.37 eqangle( X, Z, Y, Z, T, W, U, W ), coll( X, Y, Z ), simtri( X, Y, Z, T, U
% 22.96/23.37 , W ) }.
% 22.96/23.37 (54402) {G0,W16,D2,L2,V6,M2} { ! simtri( X, Y, Z, T, U, W ), eqratio( X, Y
% 22.96/23.37 , X, Z, T, U, T, W ) }.
% 22.96/23.37 (54403) {G0,W16,D2,L2,V6,M2} { ! simtri( X, Y, Z, T, U, W ), eqangle( X, Y
% 22.96/23.37 , Y, Z, T, U, U, W ) }.
% 22.96/23.37 (54404) {G0,W19,D2,L3,V6,M3} { ! simtri( X, Y, Z, T, U, W ), ! cong( X, Y
% 22.96/23.37 , T, U ), contri( X, Y, Z, T, U, W ) }.
% 22.96/23.37 (54405) {G0,W12,D2,L2,V6,M2} { ! contri( X, Y, U, Z, T, W ), cong( X, Y, Z
% 22.96/23.37 , T ) }.
% 22.96/23.37 (54406) {G0,W13,D2,L3,V5,M3} { ! midp( U, X, Y ), ! midp( U, Z, T ), para
% 22.96/23.37 ( X, Z, Y, T ) }.
% 22.96/23.37 (54407) {G0,W18,D2,L4,V5,M4} { ! midp( Z, T, U ), ! para( T, X, U, Y ), !
% 22.96/23.37 para( T, Y, U, X ), midp( Z, X, Y ) }.
% 22.96/23.37 (54408) {G0,W22,D2,L4,V5,M4} { ! para( X, Y, Z, T ), ! coll( U, X, Z ), !
% 22.96/23.37 coll( U, Y, T ), eqratio( U, X, X, Z, U, Y, Y, T ) }.
% 22.96/23.37 (54409) {G0,W9,D2,L2,V3,M2} { ! para( X, Y, X, Z ), coll( X, Y, Z ) }.
% 22.96/23.37 (54410) {G0,W13,D2,L3,V3,M3} { ! cong( X, Y, X, Z ), ! coll( X, Y, Z ),
% 22.96/23.37 midp( X, Y, Z ) }.
% 22.96/23.37 (54411) {G0,W9,D2,L2,V3,M2} { ! midp( X, Y, Z ), cong( X, Y, X, Z ) }.
% 22.96/23.37 (54412) {G0,W8,D2,L2,V3,M2} { ! midp( X, Y, Z ), coll( X, Y, Z ) }.
% 22.96/23.37 (54413) {G0,W17,D2,L3,V6,M3} { ! midp( U, X, Y ), ! midp( W, Z, T ),
% 22.96/23.37 eqratio( U, X, X, Y, W, Z, Z, T ) }.
% 22.96/23.37 (54414) {G0,W19,D2,L3,V4,M3} { ! eqangle( X, Y, Z, T, Z, T, X, Y ), para(
% 22.96/23.37 X, Y, Z, T ), perp( X, Y, Z, T ) }.
% 22.96/23.37 (54415) {G0,W19,D2,L3,V4,M3} { ! eqangle( X, Y, Z, T, Z, T, X, Y ), perp(
% 22.96/23.37 X, Y, Z, T ), para( X, Y, Z, T ) }.
% 22.96/23.37 (54416) {G0,W19,D2,L3,V8,M3} { ! eqangle( X, Y, Z, T, U, W, V0, V1 ), !
% 22.96/23.37 para( U, W, V0, V1 ), para( X, Y, Z, T ) }.
% 22.96/23.37 (54417) {G0,W19,D2,L3,V8,M3} { ! eqangle( X, Y, Z, T, U, W, V0, V1 ), !
% 22.96/23.37 perp( U, W, V0, V1 ), perp( X, Y, Z, T ) }.
% 22.96/23.37 (54418) {G0,W19,D2,L3,V8,M3} { ! eqratio( X, Y, Z, T, U, W, V0, V1 ), !
% 22.96/23.37 cong( U, W, V0, V1 ), cong( X, Y, Z, T ) }.
% 22.96/23.37 (54419) {G0,W22,D3,L3,V6,M3} { ! perp( Z, Y, Y, X ), ! eqangle( T, Z, Y, Z
% 22.96/23.37 , Y, Z, X, Z ), coll( skol1( U, W, Z, T ), Z, T ) }.
% 22.96/23.37 (54420) {G0,W22,D3,L3,V4,M3} { ! perp( Z, Y, Y, X ), ! eqangle( T, Z, Y, Z
% 22.96/23.37 , Y, Z, X, Z ), coll( skol1( X, Y, Z, T ), X, Y ) }.
% 22.96/23.37 (54421) {G0,W22,D3,L3,V6,M3} { ! cong( Z, X, Z, Y ), ! eqangle( X, Z, Z, T
% 22.96/23.37 , Z, T, Z, Y ), coll( skol2( U, W, Z, T ), Z, T ) }.
% 22.96/23.37 (54422) {G0,W22,D3,L3,V4,M3} { ! cong( Z, X, Z, Y ), ! eqangle( X, Z, Z, T
% 22.96/23.37 , Z, T, Z, Y ), coll( Y, X, skol2( X, Y, Z, T ) ) }.
% 22.96/23.37 (54423) {G0,W22,D3,L3,V6,M3} { ! perp( Z, T, X, Y ), ! eqangle( X, Z, Z, T
% 22.96/23.37 , Z, T, Z, Y ), coll( skol3( U, W, Z, T ), Z, T ) }.
% 22.96/23.37 (54424) {G0,W22,D3,L3,V4,M3} { ! perp( Z, T, X, Y ), ! eqangle( X, Z, Z, T
% 22.96/23.37 , Z, T, Z, Y ), coll( Y, X, skol3( X, Y, Z, T ) ) }.
% 22.96/23.37 (54425) {G0,W18,D3,L3,V6,M3} { ! perp( Z, T, X, Y ), ! cong( Z, X, Z, Y )
% 22.96/23.37 , coll( skol4( U, W, Z, T ), Z, T ) }.
% 22.96/23.37 (54426) {G0,W18,D3,L3,V4,M3} { ! perp( Z, T, X, Y ), ! cong( Z, X, Z, Y )
% 22.96/23.37 , coll( Y, X, skol4( X, Y, Z, T ) ) }.
% 22.96/23.37 (54427) {G0,W22,D3,L3,V6,M3} { ! eqangle( X, Z, Y, Z, X, T, Y, U ), coll(
% 22.96/23.37 X, Y, Z ), cyclic( T, Y, Z, skol5( W, Y, Z, T ) ) }.
% 22.96/23.37 (54428) {G0,W30,D3,L3,V5,M3} { ! eqangle( X, Z, Y, Z, X, T, Y, U ), coll(
% 22.96/23.37 X, Y, Z ), eqangle( X, Z, Y, Z, X, skol5( X, Y, Z, T ), Y, skol5( X, Y, Z
% 22.96/23.37 , T ) ) }.
% 22.96/23.37 (54429) {G0,W18,D3,L3,V10,M3} { ! midp( U, X, Y ), ! midp( W, Z, T ), midp
% 22.96/23.37 ( skol6( X, V0, V1, T, V2, V3 ), X, T ) }.
% 22.96/23.37 (54430) {G0,W19,D3,L3,V8,M3} { ! midp( U, X, Y ), ! midp( W, Z, T ), para
% 22.96/23.37 ( skol6( X, V0, Z, T, V1, W ), W, X, Z ) }.
% 22.96/23.37 (54431) {G0,W19,D3,L3,V6,M3} { ! midp( U, X, Y ), ! midp( W, Z, T ), para
% 22.96/23.37 ( skol6( X, Y, Z, T, U, W ), U, Y, T ) }.
% 22.96/23.37 (54432) {G0,W22,D3,L5,V7,M5} { ! midp( Z, X, Y ), ! midp( W, T, U ), !
% 22.96/23.37 coll( T, X, Y ), ! coll( U, X, Y ), midp( skol7( X, V0 ), X, V0 ) }.
% 22.96/23.37 (54433) {G0,W26,D3,L5,V8,M5} { ! midp( T, X, U ), ! para( X, W, Z, T ), !
% 22.96/23.37 para( X, W, U, Y ), ! coll( W, Y, Z ), coll( skol8( V0, V1, Z, T ), T, Z
% 22.96/23.37 ) }.
% 22.96/23.37 (54434) {G0,W26,D3,L5,V6,M5} { ! midp( T, X, U ), ! para( X, W, Z, T ), !
% 22.96/23.37 para( X, W, U, Y ), ! coll( W, Y, Z ), coll( skol8( X, Y, Z, T ), X, Y )
% 22.96/23.37 }.
% 22.96/23.37 (54435) {G0,W19,D3,L3,V7,M3} { ! cong( T, Z, T, U ), ! perp( X, Y, Y, T )
% 22.96/23.37 , cong( T, Z, T, skol9( W, V0, Z, T ) ) }.
% 22.96/23.37 (54436) {G0,W19,D3,L3,V6,M3} { ! cong( T, Z, T, U ), ! perp( X, Y, Y, T )
% 22.96/23.37 , cong( Y, Z, Y, skol9( W, Y, Z, T ) ) }.
% 22.96/23.37 (54437) {G0,W19,D3,L3,V5,M3} { ! cong( T, Z, T, U ), ! perp( X, Y, Y, T )
% 22.96/23.37 , para( skol9( X, Y, Z, T ), Z, X, Y ) }.
% 22.96/23.37 (54438) {G0,W17,D3,L3,V5,M3} { ! perp( X, T, Y, Z ), ! perp( Y, T, X, Z )
% 22.96/23.37 , coll( skol10( U, Y, Z ), Z, Y ) }.
% 22.96/23.37 (54439) {G0,W18,D3,L3,V4,M3} { ! perp( X, T, Y, Z ), ! perp( Y, T, X, Z )
% 22.96/23.37 , perp( X, skol10( X, Y, Z ), Z, Y ) }.
% 22.96/23.37 (54440) {G0,W14,D2,L3,V4,M3} { ! perp( X, T, Y, Z ), ! perp( Y, T, X, Z )
% 22.96/23.37 , alpha1( X, Y, Z ) }.
% 22.96/23.37 (54441) {G0,W11,D3,L2,V4,M2} { ! alpha1( X, Y, Z ), coll( skol11( X, T, Z
% 22.96/23.37 ), Z, X ) }.
% 22.96/23.37 (54442) {G0,W12,D3,L2,V3,M2} { ! alpha1( X, Y, Z ), perp( Y, skol11( X, Y
% 22.96/23.37 , Z ), Z, X ) }.
% 22.96/23.37 (54443) {G0,W13,D2,L3,V4,M3} { ! coll( T, Z, X ), ! perp( Y, T, Z, X ),
% 22.96/23.37 alpha1( X, Y, Z ) }.
% 22.96/23.37 (54444) {G0,W12,D3,L2,V4,M2} { ! circle( Y, X, Z, T ), perp( skol12( X, Y
% 22.96/23.37 ), X, X, Y ) }.
% 22.96/23.37 (54445) {G0,W28,D3,L5,V8,M5} { ! circle( W, X, Y, Z ), ! cong( W, X, W, T
% 22.96/23.37 ), ! cong( U, X, U, Y ), W = U, alpha2( X, Z, U, skol13( X, V0, Z, V1, U
% 22.96/23.37 ) ) }.
% 22.96/23.37 (54446) {G0,W26,D3,L5,V8,M5} { ! circle( W, X, Y, Z ), ! cong( W, X, W, T
% 22.96/23.37 ), ! cong( U, X, U, Y ), W = U, coll( skol21( V0, Y, T, V1 ), Y, T ) }.
% 22.96/23.37 (54447) {G0,W27,D3,L5,V6,M5} { ! circle( W, X, Y, Z ), ! cong( W, X, W, T
% 22.96/23.37 ), ! cong( U, X, U, Y ), W = U, cong( skol21( X, Y, T, U ), U, U, X )
% 22.96/23.37 }.
% 22.96/23.37 (54448) {G0,W9,D2,L2,V4,M2} { ! alpha2( X, Y, Z, T ), coll( T, X, Y ) }.
% 22.96/23.37 (54449) {G0,W10,D2,L2,V4,M2} { ! alpha2( X, Y, Z, T ), cong( T, Z, Z, X )
% 22.96/23.37 }.
% 22.96/23.37 (54450) {G0,W14,D2,L3,V4,M3} { ! coll( T, X, Y ), ! cong( T, Z, Z, X ),
% 22.96/23.37 alpha2( X, Y, Z, T ) }.
% 22.96/23.37 (54451) {G0,W22,D3,L4,V5,M4} { ! cyclic( X, Y, Z, T ), ! para( X, Y, Z, T
% 22.96/23.37 ), ! midp( U, X, Y ), circle( skol14( X, Y, Z ), X, Y, Z ) }.
% 22.96/23.37 (54452) {G0,W18,D3,L3,V4,M3} { ! perp( X, Z, Z, Y ), ! cyclic( X, Y, Z, T
% 22.96/23.37 ), circle( skol15( X, Y, Z ), X, Y, Z ) }.
% 22.96/23.37 (54453) {G0,W16,D3,L3,V6,M3} { ! perp( X, U, U, T ), ! coll( T, Y, Z ),
% 22.96/23.37 coll( skol16( W, Y, Z ), Y, Z ) }.
% 22.96/23.37 (54454) {G0,W17,D3,L3,V5,M3} { ! perp( X, U, U, T ), ! coll( T, Y, Z ),
% 22.96/23.37 perp( skol16( X, Y, Z ), X, Y, Z ) }.
% 22.96/23.37 (54455) {G0,W20,D3,L4,V5,M4} { ! perp( X, Z, X, Y ), ! perp( Y, X, Y, T )
% 22.96/23.37 , ! midp( U, Z, T ), midp( skol17( X, Y ), X, Y ) }.
% 22.96/23.37 (54456) {G0,W16,D3,L3,V3,M3} { ! cong( Y, X, Y, Z ), ! perp( X, Y, Y, Z )
% 22.96/23.37 , coll( X, Y, skol18( X, Y ) ) }.
% 22.96/23.37 (54457) {G0,W17,D3,L3,V3,M3} { ! cong( Y, X, Y, Z ), ! perp( X, Y, Y, Z )
% 22.96/23.37 , cong( Y, X, Y, skol18( X, Y ) ) }.
% 22.96/23.37 (54458) {G0,W25,D3,L5,V8,M5} { ! para( U, W, X, Y ), ! coll( Z, U, X ), !
% 22.96/23.37 coll( Z, W, Y ), ! coll( T, U, W ), coll( Z, T, skol19( V0, V1, Z, T ) )
% 22.96/23.37 }.
% 22.96/23.37 (54459) {G0,W25,D3,L5,V6,M5} { ! para( U, W, X, Y ), ! coll( Z, U, X ), !
% 22.96/23.37 coll( Z, W, Y ), ! coll( T, U, W ), coll( skol19( X, Y, Z, T ), X, Y )
% 22.96/23.37 }.
% 22.96/23.37 (54460) {G0,W5,D2,L1,V0,M1} { circle( skol26, skol20, skol22, skol25 ) }.
% 22.96/23.37 (54461) {G0,W4,D2,L1,V0,M1} { coll( skol27, skol20, skol22 ) }.
% 22.96/23.37 (54462) {G0,W5,D2,L1,V0,M1} { circle( skol26, skol20, skol23, skol28 ) }.
% 22.96/23.37 (54463) {G0,W9,D2,L1,V0,M1} { eqangle( skol20, skol25, skol25, skol27,
% 22.96/23.37 skol23, skol25, skol25, skol22 ) }.
% 22.96/23.37 (54464) {G0,W5,D2,L1,V0,M1} { circle( skol26, skol25, skol24, skol29 ) }.
% 22.96/23.37 (54465) {G0,W4,D2,L1,V0,M1} { coll( skol24, skol25, skol27 ) }.
% 22.96/23.37 (54466) {G0,W5,D2,L1,V0,M1} { ! para( skol20, skol22, skol24, skol23 ) }.
% 22.96/23.37
% 22.96/23.37
% 22.96/23.37 Total Proof:
% 22.96/23.37
% 22.96/23.37 subsumption: (0) {G0,W8,D2,L2,V3,M2} I { ! coll( X, Y, Z ), coll( X, Z, Y )
% 22.96/23.37 }.
% 22.96/23.37 parent0: (54343) {G0,W8,D2,L2,V3,M2} { ! coll( X, Y, Z ), coll( X, Z, Y )
% 22.96/23.37 }.
% 22.96/23.37 substitution0:
% 22.96/23.37 X := X
% 22.96/23.37 Y := Y
% 22.96/23.37 Z := Z
% 22.96/23.37 end
% 22.96/23.37 permutation0:
% 22.96/23.37 0 ==> 0
% 22.96/23.37 1 ==> 1
% 22.96/23.37 end
% 22.96/23.37
% 22.96/23.37 subsumption: (1) {G0,W8,D2,L2,V3,M2} I { ! coll( X, Y, Z ), coll( Y, X, Z )
% 22.96/23.37 }.
% 22.96/23.37 parent0: (54344) {G0,W8,D2,L2,V3,M2} { ! coll( X, Y, Z ), coll( Y, X, Z )
% 22.96/23.37 }.
% 22.96/23.37 substitution0:
% 22.96/23.37 X := X
% 22.96/23.37 Y := Y
% 22.96/23.37 Z := Z
% 22.96/23.37 end
% 22.96/23.37 permutation0:
% 22.96/23.37 0 ==> 0
% 22.96/23.37 1 ==> 1
% 22.96/23.37 end
% 22.96/23.37
% 22.96/23.37 subsumption: (2) {G0,W12,D2,L3,V4,M3} I { ! coll( X, T, Y ), ! coll( X, T,
% 22.96/23.37 Z ), coll( Y, Z, X ) }.
% 22.96/23.37 parent0: (54345) {G0,W12,D2,L3,V4,M3} { ! coll( X, T, Y ), ! coll( X, T, Z
% 22.96/23.37 ), coll( Y, Z, X ) }.
% 22.96/23.37 substitution0:
% 22.96/23.37 X := X
% 22.96/23.37 Y := Y
% 22.96/23.37 Z := Z
% 22.96/23.37 T := T
% 22.96/23.37 end
% 22.96/23.37 permutation0:
% 22.96/23.37 0 ==> 0
% 22.96/23.37 1 ==> 1
% 22.96/23.37 2 ==> 2
% 22.96/23.37 end
% 22.96/23.37
% 22.96/23.37 subsumption: (3) {G0,W10,D2,L2,V4,M2} I { ! para( X, Y, Z, T ), para( X, Y
% 22.96/23.37 , T, Z ) }.
% 22.96/23.37 parent0: (54346) {G0,W10,D2,L2,V4,M2} { ! para( X, Y, Z, T ), para( X, Y,
% 22.96/23.37 T, Z ) }.
% 22.96/23.37 substitution0:
% 22.96/23.37 X := X
% 22.96/23.37 Y := Y
% 22.96/23.37 Z := Z
% 22.96/23.37 T := T
% 22.96/23.37 end
% 22.96/23.37 permutation0:
% 22.96/23.37 0 ==> 0
% 22.96/23.37 1 ==> 1
% 22.96/23.37 end
% 22.96/23.37
% 22.96/23.37 subsumption: (6) {G0,W10,D2,L2,V4,M2} I { ! perp( X, Y, Z, T ), perp( X, Y
% 22.96/23.37 , T, Z ) }.
% 22.96/23.37 parent0: (54349) {G0,W10,D2,L2,V4,M2} { ! perp( X, Y, Z, T ), perp( X, Y,
% 22.96/23.37 T, Z ) }.
% 22.96/23.37 substitution0:
% 22.96/23.37 X := X
% 22.96/23.37 Y := Y
% 22.96/23.37 Z := Z
% 22.96/23.37 T := T
% 22.96/23.37 end
% 22.96/23.37 permutation0:
% 22.96/23.37 0 ==> 0
% 22.96/23.37 1 ==> 1
% 22.96/23.37 end
% 22.96/23.37
% 22.96/23.37 subsumption: (7) {G0,W10,D2,L2,V4,M2} I { ! perp( X, Y, Z, T ), perp( Z, T
% 22.96/23.37 , X, Y ) }.
% 22.96/23.37 parent0: (54350) {G0,W10,D2,L2,V4,M2} { ! perp( X, Y, Z, T ), perp( Z, T,
% 22.96/23.37 X, Y ) }.
% 22.96/23.37 substitution0:
% 22.96/23.37 X := X
% 22.96/23.37 Y := Y
% 22.96/23.37 Z := Z
% 22.96/23.37 T := T
% 22.96/23.37 end
% 22.96/23.37 permutation0:
% 22.96/23.37 0 ==> 0
% 22.96/23.37 1 ==> 1
% 22.96/23.37 end
% 22.96/23.37
% 22.96/23.37 subsumption: (8) {G0,W15,D2,L3,V6,M3} I { ! perp( X, Y, U, W ), ! perp( U,
% 22.96/23.37 W, Z, T ), para( X, Y, Z, T ) }.
% 22.96/23.37 parent0: (54351) {G0,W15,D2,L3,V6,M3} { ! perp( X, Y, U, W ), ! perp( U, W
% 22.96/23.37 , Z, T ), para( X, Y, Z, T ) }.
% 22.96/23.37 substitution0:
% 22.96/23.37 X := X
% 22.96/23.37 Y := Y
% 22.96/23.37 Z := Z
% 22.96/23.37 T := T
% 22.96/23.37 U := U
% 22.96/23.37 W := W
% 22.96/23.37 end
% 22.96/23.37 permutation0:
% 22.96/23.37 0 ==> 0
% 22.96/23.37 1 ==> 1
% 22.96/23.37 2 ==> 2
% 22.96/23.37 end
% 22.96/23.37
% 22.96/23.37 subsumption: (13) {G0,W10,D2,L2,V4,M2} I { ! cyclic( X, Y, Z, T ), cyclic(
% 22.96/23.37 X, Y, T, Z ) }.
% 22.96/23.37 parent0: (54356) {G0,W10,D2,L2,V4,M2} { ! cyclic( X, Y, Z, T ), cyclic( X
% 22.96/23.37 , Y, T, Z ) }.
% 22.96/23.37 substitution0:
% 22.96/23.37 X := X
% 22.96/23.37 Y := Y
% 22.96/23.37 Z := Z
% 22.96/23.37 T := T
% 22.96/23.37 end
% 22.96/23.37 permutation0:
% 22.96/23.37 0 ==> 0
% 22.96/23.37 1 ==> 1
% 22.96/23.37 end
% 22.96/23.37
% 22.96/23.37 subsumption: (14) {G0,W10,D2,L2,V4,M2} I { ! cyclic( X, Y, Z, T ), cyclic(
% 22.96/23.37 X, Z, Y, T ) }.
% 22.96/23.37 parent0: (54357) {G0,W10,D2,L2,V4,M2} { ! cyclic( X, Y, Z, T ), cyclic( X
% 22.96/23.37 , Z, Y, T ) }.
% 22.96/23.37 substitution0:
% 22.96/23.37 X := X
% 22.96/23.37 Y := Y
% 22.96/23.37 Z := Z
% 22.96/23.37 T := T
% 22.96/23.37 end
% 22.96/23.37 permutation0:
% 22.96/23.37 0 ==> 0
% 22.96/23.37 1 ==> 1
% 22.96/23.37 end
% 22.96/23.37
% 22.96/23.37 subsumption: (15) {G0,W10,D2,L2,V4,M2} I { ! cyclic( X, Y, Z, T ), cyclic(
% 22.96/23.37 Y, X, Z, T ) }.
% 22.96/23.37 parent0: (54358) {G0,W10,D2,L2,V4,M2} { ! cyclic( X, Y, Z, T ), cyclic( Y
% 22.96/23.37 , X, Z, T ) }.
% 22.96/23.37 substitution0:
% 22.96/23.37 X := X
% 22.96/23.37 Y := Y
% 22.96/23.37 Z := Z
% 22.96/23.37 T := T
% 22.96/23.37 end
% 22.96/23.37 permutation0:
% 22.96/23.37 0 ==> 0
% 22.96/23.37 1 ==> 1
% 22.96/23.37 end
% 22.96/23.37
% 22.96/23.37 subsumption: (16) {G0,W15,D2,L3,V5,M3} I { ! cyclic( U, X, Y, Z ), ! cyclic
% 22.96/23.37 ( U, X, Y, T ), cyclic( X, Y, Z, T ) }.
% 22.96/23.37 parent0: (54359) {G0,W15,D2,L3,V5,M3} { ! cyclic( U, X, Y, Z ), ! cyclic(
% 22.96/23.37 U, X, Y, T ), cyclic( X, Y, Z, T ) }.
% 22.96/23.37 substitution0:
% 22.96/23.37 X := X
% 22.96/23.37 Y := Y
% 22.96/23.37 Z := Z
% 22.96/23.37 T := T
% 22.96/23.37 U := U
% 22.96/23.37 end
% 22.96/23.37 permutation0:
% 22.96/23.37 0 ==> 0
% 22.96/23.37 1 ==> 1
% 22.96/23.37 2 ==> 2
% 22.96/23.37 end
% 22.96/23.37
% 22.96/23.37 subsumption: (18) {G0,W18,D2,L2,V8,M2} I { ! eqangle( X, Y, Z, T, U, W, V0
% 22.96/23.37 , V1 ), eqangle( Z, T, X, Y, V0, V1, U, W ) }.
% 22.96/23.37 parent0: (54361) {G0,W18,D2,L2,V8,M2} { ! eqangle( X, Y, Z, T, U, W, V0,
% 22.96/23.37 V1 ), eqangle( Z, T, X, Y, V0, V1, U, W ) }.
% 22.96/23.37 substitution0:
% 22.96/23.37 X := X
% 22.96/23.37 Y := Y
% 22.96/23.37 Z := Z
% 22.96/23.37 T := T
% 22.96/23.37 U := U
% 22.96/23.37 W := W
% 22.96/23.37 V0 := V0
% 22.96/23.37 V1 := V1
% 22.96/23.37 end
% 22.96/23.37 permutation0:
% 22.96/23.37 0 ==> 0
% 22.96/23.37 1 ==> 1
% 22.96/23.37 end
% 22.96/23.37
% 22.96/23.37 subsumption: (19) {G0,W18,D2,L2,V8,M2} I { ! eqangle( X, Y, Z, T, U, W, V0
% 22.96/23.37 , V1 ), eqangle( U, W, V0, V1, X, Y, Z, T ) }.
% 22.96/23.37 parent0: (54362) {G0,W18,D2,L2,V8,M2} { ! eqangle( X, Y, Z, T, U, W, V0,
% 22.96/23.37 V1 ), eqangle( U, W, V0, V1, X, Y, Z, T ) }.
% 22.96/23.37 substitution0:
% 22.96/23.37 X := X
% 22.96/23.37 Y := Y
% 22.96/23.37 Z := Z
% 22.96/23.37 T := T
% 22.96/23.37 U := U
% 22.96/23.37 W := W
% 22.96/23.37 V0 := V0
% 22.96/23.37 V1 := V1
% 22.96/23.37 end
% 22.96/23.37 permutation0:
% 22.96/23.37 0 ==> 0
% 22.96/23.37 1 ==> 1
% 22.96/23.37 end
% 22.96/23.37
% 22.96/23.37 subsumption: (38) {G0,W14,D2,L2,V6,M2} I { ! eqangle( X, Y, U, W, Z, T, U,
% 22.96/23.37 W ), para( X, Y, Z, T ) }.
% 22.96/23.37 parent0: (54381) {G0,W14,D2,L2,V6,M2} { ! eqangle( X, Y, U, W, Z, T, U, W
% 22.96/23.37 ), para( X, Y, Z, T ) }.
% 22.96/23.37 substitution0:
% 22.96/23.37 X := X
% 22.96/23.37 Y := Y
% 22.96/23.37 Z := Z
% 22.96/23.37 T := T
% 22.96/23.37 U := U
% 22.96/23.37 W := W
% 22.96/23.37 end
% 22.96/23.37 permutation0:
% 22.96/23.37 0 ==> 0
% 22.96/23.37 1 ==> 1
% 22.96/23.37 end
% 22.96/23.37
% 22.96/23.37 subsumption: (39) {G0,W14,D2,L2,V6,M2} I { ! para( X, Y, Z, T ), eqangle( X
% 22.96/23.37 , Y, U, W, Z, T, U, W ) }.
% 22.96/23.37 parent0: (54382) {G0,W14,D2,L2,V6,M2} { ! para( X, Y, Z, T ), eqangle( X,
% 22.96/23.37 Y, U, W, Z, T, U, W ) }.
% 22.96/23.37 substitution0:
% 22.96/23.37 X := X
% 22.96/23.37 Y := Y
% 22.96/23.37 Z := Z
% 22.96/23.37 T := T
% 22.96/23.37 U := U
% 22.96/23.37 W := W
% 22.96/23.37 end
% 22.96/23.37 permutation0:
% 22.96/23.37 0 ==> 0
% 22.96/23.37 1 ==> 1
% 22.96/23.37 end
% 22.96/23.37
% 22.96/23.37 subsumption: (40) {G0,W14,D2,L2,V4,M2} I { ! cyclic( X, Y, Z, T ), eqangle
% 22.96/23.37 ( Z, X, Z, Y, T, X, T, Y ) }.
% 22.96/23.37 parent0: (54383) {G0,W14,D2,L2,V4,M2} { ! cyclic( X, Y, Z, T ), eqangle( Z
% 22.96/23.37 , X, Z, Y, T, X, T, Y ) }.
% 22.96/23.37 substitution0:
% 22.96/23.37 X := X
% 22.96/23.37 Y := Y
% 22.96/23.37 Z := Z
% 22.96/23.37 T := T
% 22.96/23.37 end
% 22.96/23.37 permutation0:
% 22.96/23.37 0 ==> 0
% 22.96/23.37 1 ==> 1
% 22.96/23.37 end
% 22.96/23.37
% 22.96/23.37 subsumption: (42) {G0,W18,D2,L3,V4,M3} I { ! eqangle( Z, X, Z, Y, T, X, T,
% 22.96/23.37 Y ), ! coll( Z, T, Y ), cyclic( X, Y, Z, T ) }.
% 22.96/23.37 parent0: (54385) {G0,W18,D2,L3,V4,M3} { ! eqangle( Z, X, Z, Y, T, X, T, Y
% 22.96/23.37 ), ! coll( Z, T, Y ), cyclic( X, Y, Z, T ) }.
% 22.96/23.37 substitution0:
% 22.96/23.37 X := X
% 22.96/23.37 Y := Y
% 22.96/23.37 Z := Z
% 22.96/23.37 T := T
% 22.96/23.37 end
% 22.96/23.37 permutation0:
% 22.96/23.37 0 ==> 0
% 22.96/23.37 1 ==> 1
% 22.96/23.37 2 ==> 2
% 22.96/23.37 end
% 22.96/23.37
% 22.96/23.37 subsumption: (43) {G0,W29,D2,L5,V6,M5} I { ! cyclic( X, Y, U, Z ), ! cyclic
% 22.96/23.37 ( X, Y, U, T ), ! cyclic( X, Y, U, W ), ! eqangle( U, X, U, Y, W, Z, W, T
% 22.96/23.37 ), cong( X, Y, Z, T ) }.
% 22.96/23.37 parent0: (54386) {G0,W29,D2,L5,V6,M5} { ! cyclic( X, Y, U, Z ), ! cyclic(
% 22.96/23.37 X, Y, U, T ), ! cyclic( X, Y, U, W ), ! eqangle( U, X, U, Y, W, Z, W, T )
% 22.96/23.37 , cong( X, Y, Z, T ) }.
% 22.96/23.37 substitution0:
% 22.96/23.37 X := X
% 22.96/23.37 Y := Y
% 22.96/23.37 Z := Z
% 22.96/23.37 T := T
% 22.96/23.37 U := U
% 22.96/23.37 W := W
% 22.96/23.37 end
% 22.96/23.37 permutation0:
% 22.96/23.37 0 ==> 0
% 22.96/23.37 1 ==> 1
% 22.96/23.37 2 ==> 2
% 22.96/23.37 3 ==> 3
% 22.96/23.37 4 ==> 4
% 22.96/23.37 end
% 22.96/23.37
% 22.96/23.37 subsumption: (53) {G0,W14,D2,L3,V4,M3} I { ! circle( T, X, Y, Z ), ! coll(
% 22.96/23.37 T, X, Z ), perp( X, Y, Y, Z ) }.
% 22.96/23.37 parent0: (54396) {G0,W14,D2,L3,V4,M3} { ! circle( T, X, Y, Z ), ! coll( T
% 22.96/23.37 , X, Z ), perp( X, Y, Y, Z ) }.
% 22.96/23.37 substitution0:
% 22.96/23.37 X := X
% 22.96/23.37 Y := Y
% 22.96/23.37 Z := Z
% 22.96/23.37 T := T
% 22.96/23.37 end
% 22.96/23.37 permutation0:
% 22.96/23.37 0 ==> 0
% 22.96/23.37 1 ==> 1
% 22.96/23.37 2 ==> 2
% 22.96/23.37 end
% 22.96/23.37
% 22.96/23.37 subsumption: (56) {G0,W15,D2,L3,V4,M3} I { ! cong( X, Z, Y, Z ), ! cong( X
% 22.96/23.37 , T, Y, T ), perp( X, Y, Z, T ) }.
% 22.96/23.37 parent0: (54399) {G0,W15,D2,L3,V4,M3} { ! cong( X, Z, Y, Z ), ! cong( X, T
% 22.96/23.37 , Y, T ), perp( X, Y, Z, T ) }.
% 22.96/23.37 substitution0:
% 22.96/23.37 X := X
% 22.96/23.37 Y := Y
% 22.96/23.37 Z := Z
% 22.96/23.37 T := T
% 22.96/23.37 end
% 22.96/23.37 permutation0:
% 22.96/23.37 0 ==> 0
% 22.96/23.37 1 ==> 1
% 22.96/23.37 2 ==> 2
% 22.96/23.37 end
% 22.96/23.37
% 22.96/23.37 subsumption: (96) {G0,W14,D2,L3,V4,M3} I { ! perp( X, T, Y, Z ), ! perp( Y
% 22.96/23.37 , T, X, Z ), alpha1( X, Y, Z ) }.
% 22.96/23.37 parent0: (54440) {G0,W14,D2,L3,V4,M3} { ! perp( X, T, Y, Z ), ! perp( Y, T
% 22.96/23.37 , X, Z ), alpha1( X, Y, Z ) }.
% 22.96/23.37 substitution0:
% 22.96/23.37 X := X
% 22.96/23.37 Y := Y
% 22.96/23.37 Z := Z
% 22.96/23.37 T := T
% 22.96/23.37 end
% 22.96/23.37 permutation0:
% 22.96/23.37 0 ==> 0
% 22.96/23.37 1 ==> 1
% 22.96/23.37 2 ==> 2
% 22.96/23.37 end
% 22.96/23.37
% 22.96/23.37 subsumption: (97) {G0,W11,D3,L2,V4,M2} I { ! alpha1( X, Y, Z ), coll(
% 22.96/23.37 skol11( X, T, Z ), Z, X ) }.
% 22.96/23.37 parent0: (54441) {G0,W11,D3,L2,V4,M2} { ! alpha1( X, Y, Z ), coll( skol11
% 22.96/23.37 ( X, T, Z ), Z, X ) }.
% 22.96/23.37 substitution0:
% 22.96/23.37 X := X
% 22.96/23.37 Y := Y
% 22.96/23.37 Z := Z
% 22.96/23.37 T := T
% 22.96/23.37 end
% 22.96/23.37 permutation0:
% 22.96/23.37 0 ==> 0
% 22.96/23.37 1 ==> 1
% 22.96/23.37 end
% 22.96/23.37
% 22.96/23.37 subsumption: (100) {G0,W12,D3,L2,V4,M2} I { ! circle( Y, X, Z, T ), perp(
% 22.96/23.37 skol12( X, Y ), X, X, Y ) }.
% 22.96/23.37 parent0: (54444) {G0,W12,D3,L2,V4,M2} { ! circle( Y, X, Z, T ), perp(
% 22.96/23.37 skol12( X, Y ), X, X, Y ) }.
% 22.96/23.37 substitution0:
% 22.96/23.37 X := X
% 22.96/23.37 Y := Y
% 22.96/23.37 Z := Z
% 22.96/23.37 T := T
% 22.96/23.37 end
% 22.96/23.37 permutation0:
% 22.96/23.37 0 ==> 0
% 22.96/23.37 1 ==> 1
% 22.96/23.37 end
% 22.96/23.37
% 22.96/23.37 subsumption: (116) {G0,W5,D2,L1,V0,M1} I { circle( skol26, skol20, skol22,
% 22.96/23.37 skol25 ) }.
% 22.96/23.37 parent0: (54460) {G0,W5,D2,L1,V0,M1} { circle( skol26, skol20, skol22,
% 22.96/23.37 skol25 ) }.
% 22.96/23.37 substitution0:
% 22.96/23.37 end
% 22.96/23.37 permutation0:
% 22.96/23.37 0 ==> 0
% 22.96/23.37 end
% 22.96/23.37
% 22.96/23.37 subsumption: (117) {G0,W4,D2,L1,V0,M1} I { coll( skol27, skol20, skol22 )
% 22.96/23.37 }.
% 22.96/23.37 parent0: (54461) {G0,W4,D2,L1,V0,M1} { coll( skol27, skol20, skol22 ) }.
% 22.96/23.37 substitution0:
% 22.96/23.37 end
% 22.96/23.37 permutation0:
% 22.96/23.37 0 ==> 0
% 22.96/23.37 end
% 22.96/23.37
% 22.96/23.37 subsumption: (120) {G0,W5,D2,L1,V0,M1} I { circle( skol26, skol25, skol24,
% 22.96/23.37 skol29 ) }.
% 22.96/23.37 parent0: (54464) {G0,W5,D2,L1,V0,M1} { circle( skol26, skol25, skol24,
% 22.96/23.37 skol29 ) }.
% 22.96/23.37 substitution0:
% 22.96/23.37 end
% 22.96/23.37 permutation0:
% 22.96/23.37 0 ==> 0
% 22.96/23.37 end
% 22.96/23.37
% 22.96/23.37 subsumption: (121) {G0,W4,D2,L1,V0,M1} I { coll( skol24, skol25, skol27 )
% 22.96/23.37 }.
% 22.96/23.37 parent0: (54465) {G0,W4,D2,L1,V0,M1} { coll( skol24, skol25, skol27 ) }.
% 22.96/23.37 substitution0:
% 22.96/23.37 end
% 22.96/23.37 permutation0:
% 22.96/23.37 0 ==> 0
% 22.96/23.37 end
% 22.96/23.37
% 22.96/23.37 subsumption: (122) {G0,W5,D2,L1,V0,M1} I { ! para( skol20, skol22, skol24,
% 22.96/23.37 skol23 ) }.
% 22.96/23.37 parent0: (54466) {G0,W5,D2,L1,V0,M1} { ! para( skol20, skol22, skol24,
% 22.96/23.37 skol23 ) }.
% 22.96/23.37 substitution0:
% 22.96/23.37 end
% 22.96/23.37 permutation0:
% 22.96/23.37 0 ==> 0
% 22.96/23.37 end
% 22.96/23.37
% 22.96/23.37 factor: (55011) {G0,W8,D2,L2,V3,M2} { ! coll( X, Y, Z ), coll( Z, Z, X )
% 22.96/23.37 }.
% 22.96/23.37 parent0[0, 1]: (2) {G0,W12,D2,L3,V4,M3} I { ! coll( X, T, Y ), ! coll( X, T
% 22.96/23.37 , Z ), coll( Y, Z, X ) }.
% 22.96/23.37 substitution0:
% 22.96/23.37 X := X
% 22.96/23.37 Y := Z
% 22.96/23.37 Z := Z
% 22.96/23.37 T := Y
% 22.96/23.37 end
% 22.96/23.37
% 22.96/23.37 subsumption: (123) {G1,W8,D2,L2,V3,M2} F(2) { ! coll( X, Y, Z ), coll( Z, Z
% 22.96/23.37 , X ) }.
% 22.96/23.37 parent0: (55011) {G0,W8,D2,L2,V3,M2} { ! coll( X, Y, Z ), coll( Z, Z, X )
% 22.96/23.37 }.
% 22.96/23.37 substitution0:
% 22.96/23.37 X := X
% 22.96/23.37 Y := Y
% 22.96/23.37 Z := Z
% 22.96/23.37 end
% 22.96/23.37 permutation0:
% 22.96/23.37 0 ==> 0
% 22.96/23.37 1 ==> 1
% 22.96/23.37 end
% 22.96/23.37
% 22.96/23.37 resolution: (55012) {G1,W4,D2,L1,V0,M1} { coll( skol27, skol22, skol20 )
% 22.96/23.37 }.
% 22.96/23.37 parent0[0]: (0) {G0,W8,D2,L2,V3,M2} I { ! coll( X, Y, Z ), coll( X, Z, Y )
% 22.96/23.37 }.
% 22.96/23.37 parent1[0]: (117) {G0,W4,D2,L1,V0,M1} I { coll( skol27, skol20, skol22 )
% 22.96/23.37 }.
% 22.96/23.37 substitution0:
% 22.96/23.37 X := skol27
% 22.96/23.37 Y := skol20
% 22.96/23.37 Z := skol22
% 22.96/23.37 end
% 22.96/23.37 substitution1:
% 22.96/23.37 end
% 22.96/23.37
% 22.96/23.37 subsumption: (160) {G1,W4,D2,L1,V0,M1} R(0,117) { coll( skol27, skol22,
% 22.96/23.37 skol20 ) }.
% 22.96/23.37 parent0: (55012) {G1,W4,D2,L1,V0,M1} { coll( skol27, skol22, skol20 ) }.
% 22.96/23.37 substitution0:
% 22.96/23.37 end
% 22.96/23.37 permutation0:
% 22.96/23.37 0 ==> 0
% 22.96/23.37 end
% 22.96/23.37
% 22.96/23.37 resolution: (55013) {G1,W4,D2,L1,V0,M1} { coll( skol22, skol27, skol20 )
% 22.96/23.37 }.
% 22.96/23.37 parent0[0]: (1) {G0,W8,D2,L2,V3,M2} I { ! coll( X, Y, Z ), coll( Y, X, Z )
% 22.96/23.37 }.
% 22.96/23.37 parent1[0]: (160) {G1,W4,D2,L1,V0,M1} R(0,117) { coll( skol27, skol22,
% 22.96/23.37 skol20 ) }.
% 22.96/23.37 substitution0:
% 22.96/23.37 X := skol27
% 22.96/23.37 Y := skol22
% 22.96/23.37 Z := skol20
% 22.96/23.37 end
% 22.96/23.37 substitution1:
% 22.96/23.37 end
% 22.96/23.37
% 22.96/23.37 subsumption: (165) {G2,W4,D2,L1,V0,M1} R(1,160) { coll( skol22, skol27,
% 22.96/23.37 skol20 ) }.
% 22.96/23.37 parent0: (55013) {G1,W4,D2,L1,V0,M1} { coll( skol22, skol27, skol20 ) }.
% 22.96/23.37 substitution0:
% 22.96/23.37 end
% 22.96/23.37 permutation0:
% 22.96/23.37 0 ==> 0
% 22.96/23.37 end
% 22.96/23.37
% 22.96/23.37 resolution: (55014) {G1,W8,D2,L2,V3,M2} { coll( Y, X, Z ), ! coll( X, Z, Y
% 22.96/23.37 ) }.
% 22.96/23.37 parent0[0]: (1) {G0,W8,D2,L2,V3,M2} I { ! coll( X, Y, Z ), coll( Y, X, Z )
% 22.96/23.37 }.
% 22.96/23.37 parent1[1]: (0) {G0,W8,D2,L2,V3,M2} I { ! coll( X, Y, Z ), coll( X, Z, Y )
% 22.96/23.37 }.
% 22.96/23.37 substitution0:
% 22.96/23.37 X := X
% 22.96/23.37 Y := Y
% 22.96/23.37 Z := Z
% 22.96/23.37 end
% 22.96/23.37 substitution1:
% 22.96/23.37 X := X
% 22.96/23.37 Y := Z
% 22.96/23.37 Z := Y
% 22.96/23.37 end
% 22.96/23.37
% 22.96/23.37 subsumption: (166) {G1,W8,D2,L2,V3,M2} R(1,0) { coll( X, Y, Z ), ! coll( Y
% 22.96/23.37 , Z, X ) }.
% 22.96/23.37 parent0: (55014) {G1,W8,D2,L2,V3,M2} { coll( Y, X, Z ), ! coll( X, Z, Y )
% 22.96/23.37 }.
% 22.96/23.37 substitution0:
% 22.96/23.37 X := Y
% 22.96/23.37 Y := X
% 22.96/23.37 Z := Z
% 22.96/23.37 end
% 22.96/23.37 permutation0:
% 22.96/23.37 0 ==> 0
% 22.96/23.37 1 ==> 1
% 22.96/23.37 end
% 22.96/23.37
% 22.96/23.37 resolution: (55016) {G1,W8,D2,L2,V3,M2} { coll( X, Z, Y ), ! coll( Y, X, Z
% 22.96/23.37 ) }.
% 22.96/23.37 parent0[0]: (0) {G0,W8,D2,L2,V3,M2} I { ! coll( X, Y, Z ), coll( X, Z, Y )
% 22.96/23.37 }.
% 22.96/23.37 parent1[1]: (1) {G0,W8,D2,L2,V3,M2} I { ! coll( X, Y, Z ), coll( Y, X, Z )
% 22.96/23.37 }.
% 22.96/23.37 substitution0:
% 22.96/23.37 X := X
% 22.96/23.37 Y := Y
% 22.96/23.37 Z := Z
% 22.96/23.37 end
% 22.96/23.37 substitution1:
% 22.96/23.37 X := Y
% 22.96/23.37 Y := X
% 22.96/23.37 Z := Z
% 22.96/23.37 end
% 22.96/23.37
% 22.96/23.37 subsumption: (167) {G1,W8,D2,L2,V3,M2} R(1,0) { ! coll( X, Y, Z ), coll( Y
% 22.96/23.37 , Z, X ) }.
% 22.96/23.37 parent0: (55016) {G1,W8,D2,L2,V3,M2} { coll( X, Z, Y ), ! coll( Y, X, Z )
% 22.96/23.37 }.
% 22.96/23.37 substitution0:
% 22.96/23.37 X := Y
% 22.96/23.37 Y := X
% 22.96/23.37 Z := Z
% 22.96/23.37 end
% 22.96/23.37 permutation0:
% 22.96/23.37 0 ==> 1
% 22.96/23.37 1 ==> 0
% 22.96/23.37 end
% 22.96/23.37
% 22.96/23.37 resolution: (55018) {G1,W16,D2,L4,V5,M4} { ! coll( X, Y, Z ), coll( Z, T,
% 22.96/23.37 X ), ! coll( T, U, X ), ! coll( T, U, Y ) }.
% 22.96/23.37 parent0[1]: (2) {G0,W12,D2,L3,V4,M3} I { ! coll( X, T, Y ), ! coll( X, T, Z
% 22.96/23.37 ), coll( Y, Z, X ) }.
% 22.96/23.37 parent1[2]: (2) {G0,W12,D2,L3,V4,M3} I { ! coll( X, T, Y ), ! coll( X, T, Z
% 22.96/23.37 ), coll( Y, Z, X ) }.
% 22.96/23.37 substitution0:
% 22.96/23.37 X := X
% 22.96/23.37 Y := Z
% 22.96/23.37 Z := T
% 22.96/23.37 T := Y
% 22.96/23.37 end
% 22.96/23.37 substitution1:
% 22.96/23.37 X := T
% 22.96/23.37 Y := X
% 22.96/23.37 Z := Y
% 22.96/23.37 T := U
% 22.96/23.37 end
% 22.96/23.37
% 22.96/23.37 subsumption: (174) {G1,W16,D2,L4,V5,M4} R(2,2) { ! coll( X, Y, Z ), coll( Z
% 22.96/23.37 , T, X ), ! coll( T, U, X ), ! coll( T, U, Y ) }.
% 22.96/23.37 parent0: (55018) {G1,W16,D2,L4,V5,M4} { ! coll( X, Y, Z ), coll( Z, T, X )
% 22.96/23.37 , ! coll( T, U, X ), ! coll( T, U, Y ) }.
% 22.96/23.37 substitution0:
% 22.96/23.37 X := X
% 22.96/23.37 Y := Y
% 22.96/23.37 Z := Z
% 22.96/23.37 T := T
% 22.96/23.37 U := U
% 22.96/23.37 end
% 22.96/23.37 permutation0:
% 22.96/23.37 0 ==> 0
% 22.96/23.37 1 ==> 1
% 22.96/23.37 2 ==> 2
% 22.96/23.37 3 ==> 3
% 22.96/23.37 end
% 22.96/23.37
% 22.96/23.37 resolution: (55028) {G1,W12,D2,L3,V4,M3} { coll( X, Z, Y ), ! coll( Z, T,
% 22.96/23.37 X ), ! coll( Z, T, Y ) }.
% 22.96/23.37 parent0[0]: (0) {G0,W8,D2,L2,V3,M2} I { ! coll( X, Y, Z ), coll( X, Z, Y )
% 22.96/23.37 }.
% 22.96/23.37 parent1[2]: (2) {G0,W12,D2,L3,V4,M3} I { ! coll( X, T, Y ), ! coll( X, T, Z
% 22.96/23.37 ), coll( Y, Z, X ) }.
% 22.96/23.37 substitution0:
% 22.96/23.37 X := X
% 22.96/23.37 Y := Y
% 22.96/23.37 Z := Z
% 22.96/23.37 end
% 22.96/23.37 substitution1:
% 22.96/23.37 X := Z
% 22.96/23.37 Y := X
% 22.96/23.37 Z := Y
% 22.96/23.37 T := T
% 22.96/23.37 end
% 22.96/23.37
% 22.96/23.37 subsumption: (193) {G1,W12,D2,L3,V4,M3} R(2,0) { ! coll( X, Y, Z ), ! coll
% 22.96/23.37 ( X, Y, T ), coll( Z, X, T ) }.
% 22.96/23.37 parent0: (55028) {G1,W12,D2,L3,V4,M3} { coll( X, Z, Y ), ! coll( Z, T, X )
% 22.96/23.37 , ! coll( Z, T, Y ) }.
% 22.96/23.37 substitution0:
% 22.96/23.37 X := Z
% 22.96/23.37 Y := T
% 22.96/23.37 Z := X
% 22.96/23.37 T := Y
% 22.96/23.37 end
% 22.96/23.37 permutation0:
% 22.96/23.37 0 ==> 2
% 22.96/23.37 1 ==> 0
% 22.96/23.37 2 ==> 1
% 22.96/23.37 end
% 22.96/23.37
% 22.96/23.37 factor: (55030) {G1,W8,D2,L2,V3,M2} { ! coll( X, Y, Z ), coll( Z, X, Z )
% 22.96/23.37 }.
% 22.96/23.37 parent0[0, 1]: (193) {G1,W12,D2,L3,V4,M3} R(2,0) { ! coll( X, Y, Z ), !
% 22.96/23.37 coll( X, Y, T ), coll( Z, X, T ) }.
% 22.96/23.37 substitution0:
% 22.96/23.37 X := X
% 22.96/23.37 Y := Y
% 22.96/23.37 Z := Z
% 22.96/23.37 T := Z
% 22.96/23.37 end
% 22.96/23.37
% 22.96/23.37 subsumption: (198) {G2,W8,D2,L2,V3,M2} F(193) { ! coll( X, Y, Z ), coll( Z
% 22.96/23.37 , X, Z ) }.
% 22.96/23.37 parent0: (55030) {G1,W8,D2,L2,V3,M2} { ! coll( X, Y, Z ), coll( Z, X, Z )
% 22.96/23.37 }.
% 22.96/23.37 substitution0:
% 22.96/23.37 X := X
% 22.96/23.37 Y := Y
% 22.96/23.37 Z := Z
% 22.96/23.37 end
% 22.96/23.37 permutation0:
% 22.96/23.37 0 ==> 0
% 22.96/23.37 1 ==> 1
% 22.96/23.37 end
% 22.96/23.37
% 22.96/23.37 resolution: (55031) {G1,W12,D2,L3,V4,M3} { coll( Z, X, Z ), ! coll( Z, T,
% 22.96/23.37 X ), ! coll( Z, T, Y ) }.
% 22.96/23.37 parent0[0]: (198) {G2,W8,D2,L2,V3,M2} F(193) { ! coll( X, Y, Z ), coll( Z,
% 22.96/23.37 X, Z ) }.
% 22.96/23.37 parent1[2]: (2) {G0,W12,D2,L3,V4,M3} I { ! coll( X, T, Y ), ! coll( X, T, Z
% 22.96/23.37 ), coll( Y, Z, X ) }.
% 22.96/23.37 substitution0:
% 22.96/23.37 X := X
% 22.96/23.37 Y := Y
% 22.96/23.37 Z := Z
% 22.96/23.37 end
% 22.96/23.37 substitution1:
% 22.96/23.37 X := Z
% 22.96/23.37 Y := X
% 22.96/23.37 Z := Y
% 22.96/23.37 T := T
% 22.96/23.37 end
% 22.96/23.37
% 22.96/23.37 subsumption: (216) {G3,W12,D2,L3,V4,M3} R(198,2) { coll( X, Y, X ), ! coll
% 22.96/23.37 ( X, Z, Y ), ! coll( X, Z, T ) }.
% 22.96/23.37 parent0: (55031) {G1,W12,D2,L3,V4,M3} { coll( Z, X, Z ), ! coll( Z, T, X )
% 22.96/23.37 , ! coll( Z, T, Y ) }.
% 22.96/23.37 substitution0:
% 22.96/23.37 X := Y
% 22.96/23.37 Y := Y
% 22.96/23.37 Z := X
% 22.96/23.37 T := Z
% 22.96/23.37 end
% 22.96/23.37 permutation0:
% 22.96/23.37 0 ==> 0
% 22.96/23.37 1 ==> 1
% 22.96/23.37 2 ==> 1
% 22.96/23.37 end
% 22.96/23.37
% 22.96/23.37 resolution: (55033) {G2,W4,D2,L1,V0,M1} { coll( skol20, skol27, skol20 )
% 22.96/23.37 }.
% 22.96/23.37 parent0[0]: (198) {G2,W8,D2,L2,V3,M2} F(193) { ! coll( X, Y, Z ), coll( Z,
% 22.96/23.37 X, Z ) }.
% 22.96/23.37 parent1[0]: (160) {G1,W4,D2,L1,V0,M1} R(0,117) { coll( skol27, skol22,
% 22.96/23.37 skol20 ) }.
% 22.96/23.37 substitution0:
% 22.96/23.37 X := skol27
% 22.96/23.37 Y := skol22
% 22.96/23.37 Z := skol20
% 22.96/23.37 end
% 22.96/23.37 substitution1:
% 22.96/23.37 end
% 22.96/23.37
% 22.96/23.37 subsumption: (226) {G3,W4,D2,L1,V0,M1} R(198,160) { coll( skol20, skol27,
% 22.96/23.37 skol20 ) }.
% 22.96/23.37 parent0: (55033) {G2,W4,D2,L1,V0,M1} { coll( skol20, skol27, skol20 ) }.
% 22.96/23.37 substitution0:
% 22.96/23.37 end
% 22.96/23.37 permutation0:
% 22.96/23.37 0 ==> 0
% 22.96/23.37 end
% 22.96/23.37
% 22.96/23.37 resolution: (55034) {G1,W4,D2,L1,V0,M1} { coll( skol27, skol24, skol27 )
% 22.96/23.37 }.
% 22.96/23.37 parent0[0]: (198) {G2,W8,D2,L2,V3,M2} F(193) { ! coll( X, Y, Z ), coll( Z,
% 22.96/23.37 X, Z ) }.
% 22.96/23.37 parent1[0]: (121) {G0,W4,D2,L1,V0,M1} I { coll( skol24, skol25, skol27 )
% 22.96/23.37 }.
% 22.96/23.37 substitution0:
% 22.96/23.37 X := skol24
% 22.96/23.37 Y := skol25
% 22.96/23.37 Z := skol27
% 22.96/23.37 end
% 22.96/23.37 substitution1:
% 22.96/23.37 end
% 22.96/23.37
% 22.96/23.37 subsumption: (229) {G3,W4,D2,L1,V0,M1} R(198,121) { coll( skol27, skol24,
% 22.96/23.37 skol27 ) }.
% 22.96/23.37 parent0: (55034) {G1,W4,D2,L1,V0,M1} { coll( skol27, skol24, skol27 ) }.
% 22.96/23.37 substitution0:
% 22.96/23.37 end
% 22.96/23.37 permutation0:
% 22.96/23.37 0 ==> 0
% 22.96/23.37 end
% 22.96/23.37
% 22.96/23.37 factor: (55035) {G3,W8,D2,L2,V3,M2} { coll( X, Y, X ), ! coll( X, Z, Y )
% 22.96/23.37 }.
% 22.96/23.37 parent0[1, 2]: (216) {G3,W12,D2,L3,V4,M3} R(198,2) { coll( X, Y, X ), !
% 22.96/23.37 coll( X, Z, Y ), ! coll( X, Z, T ) }.
% 22.96/23.37 substitution0:
% 22.96/23.37 X := X
% 22.96/23.37 Y := Y
% 22.96/23.37 Z := Z
% 22.96/23.37 T := Y
% 22.96/23.37 end
% 22.96/23.37
% 22.96/23.37 subsumption: (230) {G4,W8,D2,L2,V3,M2} F(216) { coll( X, Y, X ), ! coll( X
% 22.96/23.37 , Z, Y ) }.
% 22.96/23.37 parent0: (55035) {G3,W8,D2,L2,V3,M2} { coll( X, Y, X ), ! coll( X, Z, Y )
% 22.96/23.37 }.
% 22.96/23.37 substitution0:
% 22.96/23.37 X := X
% 22.96/23.37 Y := Y
% 22.96/23.37 Z := Z
% 22.96/23.37 end
% 22.96/23.37 permutation0:
% 22.96/23.37 0 ==> 0
% 22.96/23.37 1 ==> 1
% 22.96/23.37 end
% 22.96/23.37
% 22.96/23.37 resolution: (55036) {G1,W15,D2,L3,V6,M3} { ! perp( Z, T, U, W ), para( X,
% 22.96/23.37 Y, U, W ), ! perp( Z, T, X, Y ) }.
% 22.96/23.37 parent0[0]: (8) {G0,W15,D2,L3,V6,M3} I { ! perp( X, Y, U, W ), ! perp( U, W
% 22.96/23.37 , Z, T ), para( X, Y, Z, T ) }.
% 22.96/23.37 parent1[1]: (7) {G0,W10,D2,L2,V4,M2} I { ! perp( X, Y, Z, T ), perp( Z, T,
% 22.96/23.37 X, Y ) }.
% 22.96/23.37 substitution0:
% 22.96/23.37 X := X
% 22.96/23.37 Y := Y
% 22.96/23.37 Z := U
% 22.96/23.37 T := W
% 22.96/23.37 U := Z
% 22.96/23.37 W := T
% 22.96/23.37 end
% 22.96/23.37 substitution1:
% 22.96/23.37 X := Z
% 22.96/23.37 Y := T
% 22.96/23.37 Z := X
% 22.96/23.37 T := Y
% 22.96/23.37 end
% 22.96/23.37
% 22.96/23.37 subsumption: (280) {G1,W15,D2,L3,V6,M3} R(8,7) { ! perp( X, Y, Z, T ), para
% 22.96/23.37 ( U, W, Z, T ), ! perp( X, Y, U, W ) }.
% 22.96/23.37 parent0: (55036) {G1,W15,D2,L3,V6,M3} { ! perp( Z, T, U, W ), para( X, Y,
% 22.96/23.37 U, W ), ! perp( Z, T, X, Y ) }.
% 22.96/23.37 substitution0:
% 22.96/23.37 X := U
% 22.96/23.37 Y := W
% 22.96/23.37 Z := X
% 22.96/23.37 T := Y
% 22.96/23.37 U := Z
% 22.96/23.37 W := T
% 22.96/23.37 end
% 22.96/23.37 permutation0:
% 22.96/23.37 0 ==> 0
% 22.96/23.37 1 ==> 1
% 22.96/23.37 2 ==> 2
% 22.96/23.37 end
% 22.96/23.37
% 22.96/23.37 factor: (55040) {G1,W10,D2,L2,V4,M2} { ! perp( X, Y, Z, T ), para( Z, T, Z
% 22.96/23.37 , T ) }.
% 22.96/23.37 parent0[0, 2]: (280) {G1,W15,D2,L3,V6,M3} R(8,7) { ! perp( X, Y, Z, T ),
% 22.96/23.37 para( U, W, Z, T ), ! perp( X, Y, U, W ) }.
% 22.96/23.37 substitution0:
% 22.96/23.37 X := X
% 22.96/23.37 Y := Y
% 22.96/23.37 Z := Z
% 22.96/23.37 T := T
% 22.96/23.37 U := Z
% 22.96/23.37 W := T
% 22.96/23.37 end
% 22.96/23.37
% 22.96/23.37 subsumption: (292) {G2,W10,D2,L2,V4,M2} F(280) { ! perp( X, Y, Z, T ), para
% 22.96/23.37 ( Z, T, Z, T ) }.
% 22.96/23.37 parent0: (55040) {G1,W10,D2,L2,V4,M2} { ! perp( X, Y, Z, T ), para( Z, T,
% 22.96/23.37 Z, T ) }.
% 22.96/23.37 substitution0:
% 22.96/23.37 X := X
% 22.96/23.37 Y := Y
% 22.96/23.37 Z := Z
% 22.96/23.37 T := T
% 22.96/23.37 end
% 22.96/23.37 permutation0:
% 22.96/23.37 0 ==> 0
% 22.96/23.37 1 ==> 1
% 22.96/23.37 end
% 22.96/23.37
% 22.96/23.37 resolution: (55041) {G1,W4,D2,L1,V0,M1} { coll( skol27, skol27, skol24 )
% 22.96/23.37 }.
% 22.96/23.37 parent0[0]: (0) {G0,W8,D2,L2,V3,M2} I { ! coll( X, Y, Z ), coll( X, Z, Y )
% 22.96/23.37 }.
% 22.96/23.37 parent1[0]: (229) {G3,W4,D2,L1,V0,M1} R(198,121) { coll( skol27, skol24,
% 22.96/23.37 skol27 ) }.
% 22.96/23.37 substitution0:
% 22.96/23.37 X := skol27
% 22.96/23.37 Y := skol24
% 22.96/23.37 Z := skol27
% 22.96/23.37 end
% 22.96/23.37 substitution1:
% 22.96/23.37 end
% 22.96/23.37
% 22.96/23.37 subsumption: (341) {G4,W4,D2,L1,V0,M1} R(229,0) { coll( skol27, skol27,
% 22.96/23.37 skol24 ) }.
% 22.96/23.37 parent0: (55041) {G1,W4,D2,L1,V0,M1} { coll( skol27, skol27, skol24 ) }.
% 22.96/23.37 substitution0:
% 22.96/23.37 end
% 22.96/23.37 permutation0:
% 22.96/23.37 0 ==> 0
% 22.96/23.37 end
% 22.96/23.37
% 22.96/23.37 resolution: (55042) {G1,W8,D2,L2,V1,M2} { ! coll( skol27, skol27, X ),
% 22.96/23.37 coll( skol24, X, skol27 ) }.
% 22.96/23.37 parent0[0]: (2) {G0,W12,D2,L3,V4,M3} I { ! coll( X, T, Y ), ! coll( X, T, Z
% 22.96/23.37 ), coll( Y, Z, X ) }.
% 22.96/23.37 parent1[0]: (341) {G4,W4,D2,L1,V0,M1} R(229,0) { coll( skol27, skol27,
% 22.96/23.37 skol24 ) }.
% 22.96/23.37 substitution0:
% 22.96/23.37 X := skol27
% 22.96/23.37 Y := skol24
% 22.96/23.37 Z := X
% 22.96/23.37 T := skol27
% 22.96/23.37 end
% 22.96/23.37 substitution1:
% 22.96/23.37 end
% 22.96/23.37
% 22.96/23.37 subsumption: (343) {G5,W8,D2,L2,V1,M2} R(341,2) { ! coll( skol27, skol27, X
% 22.96/23.37 ), coll( skol24, X, skol27 ) }.
% 22.96/23.37 parent0: (55042) {G1,W8,D2,L2,V1,M2} { ! coll( skol27, skol27, X ), coll(
% 22.96/23.37 skol24, X, skol27 ) }.
% 22.96/23.37 substitution0:
% 22.96/23.37 X := X
% 22.96/23.37 end
% 22.96/23.37 permutation0:
% 22.96/23.37 0 ==> 0
% 22.96/23.37 1 ==> 1
% 22.96/23.37 end
% 22.96/23.37
% 22.96/23.37 resolution: (55045) {G1,W10,D2,L2,V4,M2} { cyclic( X, Y, T, Z ), ! cyclic
% 22.96/23.37 ( X, Z, Y, T ) }.
% 22.96/23.37 parent0[0]: (13) {G0,W10,D2,L2,V4,M2} I { ! cyclic( X, Y, Z, T ), cyclic( X
% 22.96/23.37 , Y, T, Z ) }.
% 22.96/23.37 parent1[1]: (14) {G0,W10,D2,L2,V4,M2} I { ! cyclic( X, Y, Z, T ), cyclic( X
% 22.96/23.37 , Z, Y, T ) }.
% 22.96/23.37 substitution0:
% 22.96/23.37 X := X
% 22.96/23.37 Y := Y
% 22.96/23.37 Z := Z
% 22.96/23.37 T := T
% 22.96/23.37 end
% 22.96/23.37 substitution1:
% 22.96/23.37 X := X
% 22.96/23.37 Y := Z
% 22.96/23.37 Z := Y
% 22.96/23.37 T := T
% 22.96/23.37 end
% 22.96/23.37
% 22.96/23.37 subsumption: (349) {G1,W10,D2,L2,V4,M2} R(14,13) { ! cyclic( X, Y, Z, T ),
% 22.96/23.37 cyclic( X, Z, T, Y ) }.
% 22.96/23.37 parent0: (55045) {G1,W10,D2,L2,V4,M2} { cyclic( X, Y, T, Z ), ! cyclic( X
% 22.96/23.37 , Z, Y, T ) }.
% 22.96/23.37 substitution0:
% 22.96/23.37 X := X
% 22.96/23.37 Y := Z
% 22.96/23.37 Z := Y
% 22.96/23.37 T := T
% 22.96/23.37 end
% 22.96/23.37 permutation0:
% 22.96/23.37 0 ==> 1
% 22.96/23.37 1 ==> 0
% 22.96/23.37 end
% 22.96/23.37
% 22.96/23.37 resolution: (55046) {G1,W10,D2,L2,V4,M2} { cyclic( Y, X, Z, T ), ! cyclic
% 22.96/23.37 ( X, Z, Y, T ) }.
% 22.96/23.37 parent0[0]: (15) {G0,W10,D2,L2,V4,M2} I { ! cyclic( X, Y, Z, T ), cyclic( Y
% 22.96/23.37 , X, Z, T ) }.
% 22.96/23.37 parent1[1]: (14) {G0,W10,D2,L2,V4,M2} I { ! cyclic( X, Y, Z, T ), cyclic( X
% 22.96/23.37 , Z, Y, T ) }.
% 22.96/23.37 substitution0:
% 22.96/23.37 X := X
% 22.96/23.37 Y := Y
% 22.96/23.37 Z := Z
% 22.96/23.37 T := T
% 22.96/23.37 end
% 22.96/23.37 substitution1:
% 22.96/23.37 X := X
% 22.96/23.37 Y := Z
% 22.96/23.37 Z := Y
% 22.96/23.37 T := T
% 22.96/23.37 end
% 22.96/23.37
% 22.96/23.37 subsumption: (361) {G1,W10,D2,L2,V4,M2} R(15,14) { cyclic( X, Y, Z, T ), !
% 22.96/23.37 cyclic( Y, Z, X, T ) }.
% 22.96/23.37 parent0: (55046) {G1,W10,D2,L2,V4,M2} { cyclic( Y, X, Z, T ), ! cyclic( X
% 22.96/23.37 , Z, Y, T ) }.
% 22.96/23.37 substitution0:
% 22.96/23.37 X := Y
% 22.96/23.37 Y := X
% 22.96/23.37 Z := Z
% 22.96/23.37 T := T
% 22.96/23.37 end
% 22.96/23.37 permutation0:
% 22.96/23.37 0 ==> 0
% 22.96/23.37 1 ==> 1
% 22.96/23.37 end
% 22.96/23.37
% 22.96/23.37 resolution: (55047) {G1,W10,D2,L2,V4,M2} { cyclic( Y, X, Z, T ), ! cyclic
% 22.96/23.37 ( X, Y, T, Z ) }.
% 22.96/23.37 parent0[0]: (15) {G0,W10,D2,L2,V4,M2} I { ! cyclic( X, Y, Z, T ), cyclic( Y
% 22.96/23.37 , X, Z, T ) }.
% 22.96/23.37 parent1[1]: (13) {G0,W10,D2,L2,V4,M2} I { ! cyclic( X, Y, Z, T ), cyclic( X
% 22.96/23.37 , Y, T, Z ) }.
% 22.96/23.37 substitution0:
% 22.96/23.37 X := X
% 22.96/23.37 Y := Y
% 22.96/23.37 Z := Z
% 22.96/23.37 T := T
% 22.96/23.37 end
% 22.96/23.37 substitution1:
% 22.96/23.37 X := X
% 22.96/23.37 Y := Y
% 22.96/23.37 Z := T
% 22.96/23.37 T := Z
% 22.96/23.37 end
% 22.96/23.37
% 22.96/23.37 subsumption: (363) {G1,W10,D2,L2,V4,M2} R(15,13) { cyclic( X, Y, Z, T ), !
% 22.96/23.37 cyclic( Y, X, T, Z ) }.
% 22.96/23.37 parent0: (55047) {G1,W10,D2,L2,V4,M2} { cyclic( Y, X, Z, T ), ! cyclic( X
% 22.96/23.37 , Y, T, Z ) }.
% 22.96/23.37 substitution0:
% 22.96/23.37 X := Y
% 22.96/23.37 Y := X
% 22.96/23.37 Z := Z
% 22.96/23.37 T := T
% 22.96/23.37 end
% 22.96/23.37 permutation0:
% 22.96/23.37 0 ==> 0
% 22.96/23.37 1 ==> 1
% 22.96/23.37 end
% 22.96/23.37
% 22.96/23.37 resolution: (55051) {G1,W15,D2,L3,V5,M3} { cyclic( Y, X, Z, T ), ! cyclic
% 22.96/23.37 ( U, X, Y, Z ), ! cyclic( U, X, Y, T ) }.
% 22.96/23.37 parent0[0]: (15) {G0,W10,D2,L2,V4,M2} I { ! cyclic( X, Y, Z, T ), cyclic( Y
% 22.96/23.37 , X, Z, T ) }.
% 22.96/23.37 parent1[2]: (16) {G0,W15,D2,L3,V5,M3} I { ! cyclic( U, X, Y, Z ), ! cyclic
% 22.96/23.37 ( U, X, Y, T ), cyclic( X, Y, Z, T ) }.
% 22.96/23.37 substitution0:
% 22.96/23.37 X := X
% 22.96/23.37 Y := Y
% 22.96/23.37 Z := Z
% 22.96/23.37 T := T
% 22.96/23.37 end
% 22.96/23.37 substitution1:
% 22.96/23.37 X := X
% 22.96/23.37 Y := Y
% 22.96/23.37 Z := Z
% 22.96/23.37 T := T
% 22.96/23.37 U := U
% 22.96/23.37 end
% 22.96/23.37
% 22.96/23.37 subsumption: (380) {G1,W15,D2,L3,V5,M3} R(16,15) { ! cyclic( X, Y, Z, T ),
% 22.96/23.37 ! cyclic( X, Y, Z, U ), cyclic( Z, Y, T, U ) }.
% 22.96/23.37 parent0: (55051) {G1,W15,D2,L3,V5,M3} { cyclic( Y, X, Z, T ), ! cyclic( U
% 22.96/23.37 , X, Y, Z ), ! cyclic( U, X, Y, T ) }.
% 22.96/23.37 substitution0:
% 22.96/23.37 X := Y
% 22.96/23.37 Y := Z
% 22.96/23.37 Z := T
% 22.96/23.37 T := U
% 22.96/23.37 U := X
% 22.96/23.37 end
% 22.96/23.37 permutation0:
% 22.96/23.37 0 ==> 2
% 22.96/23.37 1 ==> 0
% 22.96/23.37 2 ==> 1
% 22.96/23.37 end
% 22.96/23.37
% 22.96/23.37 resolution: (55054) {G1,W15,D2,L3,V5,M3} { ! cyclic( X, Y, Z, T ), cyclic
% 22.96/23.37 ( Y, Z, T, U ), ! cyclic( X, Y, U, Z ) }.
% 22.96/23.37 parent0[1]: (16) {G0,W15,D2,L3,V5,M3} I { ! cyclic( U, X, Y, Z ), ! cyclic
% 22.96/23.37 ( U, X, Y, T ), cyclic( X, Y, Z, T ) }.
% 22.96/23.37 parent1[1]: (13) {G0,W10,D2,L2,V4,M2} I { ! cyclic( X, Y, Z, T ), cyclic( X
% 22.96/23.37 , Y, T, Z ) }.
% 22.96/23.37 substitution0:
% 22.96/23.37 X := Y
% 22.96/23.37 Y := Z
% 22.96/23.37 Z := T
% 22.96/23.37 T := U
% 22.96/23.37 U := X
% 22.96/23.37 end
% 22.96/23.37 substitution1:
% 22.96/23.37 X := X
% 22.96/23.37 Y := Y
% 22.96/23.37 Z := U
% 22.96/23.37 T := Z
% 22.96/23.37 end
% 22.96/23.37
% 22.96/23.37 subsumption: (385) {G1,W15,D2,L3,V5,M3} R(16,13) { ! cyclic( X, Y, Z, T ),
% 22.96/23.37 cyclic( Y, Z, T, U ), ! cyclic( X, Y, U, Z ) }.
% 22.96/23.37 parent0: (55054) {G1,W15,D2,L3,V5,M3} { ! cyclic( X, Y, Z, T ), cyclic( Y
% 22.96/23.37 , Z, T, U ), ! cyclic( X, Y, U, Z ) }.
% 22.96/23.37 substitution0:
% 22.96/23.37 X := X
% 22.96/23.37 Y := Y
% 22.96/23.37 Z := Z
% 22.96/23.37 T := T
% 22.96/23.37 U := U
% 22.96/23.37 end
% 22.96/23.37 permutation0:
% 22.96/23.37 0 ==> 0
% 22.96/23.37 1 ==> 1
% 22.96/23.37 2 ==> 2
% 22.96/23.37 end
% 22.96/23.37
% 22.96/23.37 factor: (55056) {G1,W10,D2,L2,V4,M2} { ! cyclic( X, Y, Z, T ), cyclic( Z,
% 22.96/23.37 Y, T, T ) }.
% 22.96/23.37 parent0[0, 1]: (380) {G1,W15,D2,L3,V5,M3} R(16,15) { ! cyclic( X, Y, Z, T )
% 22.96/23.37 , ! cyclic( X, Y, Z, U ), cyclic( Z, Y, T, U ) }.
% 22.96/23.37 substitution0:
% 22.96/23.37 X := X
% 22.96/23.37 Y := Y
% 22.96/23.37 Z := Z
% 22.96/23.37 T := T
% 22.96/23.37 U := T
% 22.96/23.37 end
% 22.96/23.37
% 22.96/23.37 subsumption: (389) {G2,W10,D2,L2,V4,M2} F(380) { ! cyclic( X, Y, Z, T ),
% 22.96/23.37 cyclic( Z, Y, T, T ) }.
% 22.96/23.37 parent0: (55056) {G1,W10,D2,L2,V4,M2} { ! cyclic( X, Y, Z, T ), cyclic( Z
% 22.96/23.37 , Y, T, T ) }.
% 22.96/23.37 substitution0:
% 22.96/23.37 X := X
% 22.96/23.37 Y := Y
% 22.96/23.37 Z := Z
% 22.96/23.37 T := T
% 22.96/23.37 end
% 22.96/23.37 permutation0:
% 22.96/23.37 0 ==> 0
% 22.96/23.37 1 ==> 1
% 22.96/23.37 end
% 22.96/23.37
% 22.96/23.37 resolution: (55058) {G1,W8,D2,L2,V3,M2} { coll( Y, X, X ), ! coll( X, Z, Y
% 22.96/23.37 ) }.
% 22.96/23.37 parent0[0]: (1) {G0,W8,D2,L2,V3,M2} I { ! coll( X, Y, Z ), coll( Y, X, Z )
% 22.96/23.37 }.
% 22.96/23.37 parent1[0]: (230) {G4,W8,D2,L2,V3,M2} F(216) { coll( X, Y, X ), ! coll( X,
% 22.96/23.37 Z, Y ) }.
% 22.96/23.37 substitution0:
% 22.96/23.37 X := X
% 22.96/23.37 Y := Y
% 22.96/23.37 Z := X
% 22.96/23.37 end
% 22.96/23.37 substitution1:
% 22.96/23.37 X := X
% 22.96/23.37 Y := Y
% 22.96/23.37 Z := Z
% 22.96/23.37 end
% 22.96/23.37
% 22.96/23.37 subsumption: (394) {G5,W8,D2,L2,V3,M2} R(230,1) { ! coll( X, Y, Z ), coll(
% 22.96/23.37 Z, X, X ) }.
% 22.96/23.37 parent0: (55058) {G1,W8,D2,L2,V3,M2} { coll( Y, X, X ), ! coll( X, Z, Y )
% 22.96/23.37 }.
% 22.96/23.37 substitution0:
% 22.96/23.37 X := X
% 22.96/23.37 Y := Z
% 22.96/23.37 Z := Y
% 22.96/23.37 end
% 22.96/23.37 permutation0:
% 22.96/23.37 0 ==> 1
% 22.96/23.37 1 ==> 0
% 22.96/23.37 end
% 22.96/23.37
% 22.96/23.37 resolution: (55059) {G1,W8,D2,L2,V3,M2} { coll( Z, X, X ), ! coll( Y, X, Z
% 22.96/23.37 ) }.
% 22.96/23.37 parent0[0]: (394) {G5,W8,D2,L2,V3,M2} R(230,1) { ! coll( X, Y, Z ), coll( Z
% 22.96/23.37 , X, X ) }.
% 22.96/23.37 parent1[1]: (1) {G0,W8,D2,L2,V3,M2} I { ! coll( X, Y, Z ), coll( Y, X, Z )
% 22.96/23.37 }.
% 22.96/23.37 substitution0:
% 22.96/23.37 X := X
% 22.96/23.37 Y := Y
% 22.96/23.37 Z := Z
% 22.96/23.37 end
% 22.96/23.37 substitution1:
% 22.96/23.37 X := Y
% 22.96/23.37 Y := X
% 22.96/23.37 Z := Z
% 22.96/23.37 end
% 22.96/23.37
% 22.96/23.37 subsumption: (400) {G6,W8,D2,L2,V3,M2} R(394,1) { coll( X, Y, Y ), ! coll(
% 22.96/23.37 Z, Y, X ) }.
% 22.96/23.37 parent0: (55059) {G1,W8,D2,L2,V3,M2} { coll( Z, X, X ), ! coll( Y, X, Z )
% 22.96/23.37 }.
% 22.96/23.37 substitution0:
% 22.96/23.37 X := Y
% 22.96/23.37 Y := Z
% 22.96/23.37 Z := X
% 22.96/23.37 end
% 22.96/23.37 permutation0:
% 22.96/23.37 0 ==> 0
% 22.96/23.37 1 ==> 1
% 22.96/23.37 end
% 22.96/23.37
% 22.96/23.37 resolution: (55060) {G1,W8,D2,L2,V3,M2} { coll( Z, X, X ), ! coll( X, Z, Y
% 22.96/23.37 ) }.
% 22.96/23.37 parent0[0]: (394) {G5,W8,D2,L2,V3,M2} R(230,1) { ! coll( X, Y, Z ), coll( Z
% 22.96/23.37 , X, X ) }.
% 22.96/23.37 parent1[1]: (0) {G0,W8,D2,L2,V3,M2} I { ! coll( X, Y, Z ), coll( X, Z, Y )
% 22.96/23.37 }.
% 22.96/23.37 substitution0:
% 22.96/23.37 X := X
% 22.96/23.37 Y := Y
% 22.96/23.37 Z := Z
% 22.96/23.37 end
% 22.96/23.37 substitution1:
% 22.96/23.37 X := X
% 22.96/23.37 Y := Z
% 22.96/23.37 Z := Y
% 22.96/23.37 end
% 22.96/23.37
% 22.96/23.37 subsumption: (402) {G6,W8,D2,L2,V3,M2} R(394,0) { coll( X, Y, Y ), ! coll(
% 22.96/23.37 Y, X, Z ) }.
% 22.96/23.37 parent0: (55060) {G1,W8,D2,L2,V3,M2} { coll( Z, X, X ), ! coll( X, Z, Y )
% 22.96/23.37 }.
% 22.96/23.37 substitution0:
% 22.96/23.37 X := Y
% 22.96/23.37 Y := Z
% 22.96/23.37 Z := X
% 22.96/23.37 end
% 22.96/23.37 permutation0:
% 22.96/23.37 0 ==> 0
% 22.96/23.37 1 ==> 1
% 22.96/23.37 end
% 22.96/23.37
% 22.96/23.37 resolution: (55061) {G7,W8,D2,L2,V3,M2} { coll( X, Y, Y ), ! coll( X, Y, Z
% 22.96/23.37 ) }.
% 22.96/23.37 parent0[1]: (402) {G6,W8,D2,L2,V3,M2} R(394,0) { coll( X, Y, Y ), ! coll( Y
% 22.96/23.37 , X, Z ) }.
% 22.96/23.37 parent1[0]: (402) {G6,W8,D2,L2,V3,M2} R(394,0) { coll( X, Y, Y ), ! coll( Y
% 22.96/23.37 , X, Z ) }.
% 22.96/23.37 substitution0:
% 22.96/23.37 X := X
% 22.96/23.37 Y := Y
% 22.96/23.37 Z := X
% 22.96/23.37 end
% 22.96/23.37 substitution1:
% 22.96/23.37 X := Y
% 22.96/23.37 Y := X
% 22.96/23.37 Z := Z
% 22.96/23.37 end
% 22.96/23.37
% 22.96/23.37 subsumption: (459) {G7,W8,D2,L2,V3,M2} R(402,402) { ! coll( X, Y, Z ), coll
% 22.96/23.37 ( X, Y, Y ) }.
% 22.96/23.37 parent0: (55061) {G7,W8,D2,L2,V3,M2} { coll( X, Y, Y ), ! coll( X, Y, Z )
% 22.96/23.37 }.
% 22.96/23.37 substitution0:
% 22.96/23.37 X := X
% 22.96/23.37 Y := Y
% 22.96/23.37 Z := Z
% 22.96/23.37 end
% 22.96/23.37 permutation0:
% 22.96/23.37 0 ==> 1
% 22.96/23.37 1 ==> 0
% 22.96/23.37 end
% 22.96/23.37
% 22.96/23.37 resolution: (55065) {G1,W12,D2,L3,V4,M3} { ! coll( X, Y, Z ), coll( Z, Y,
% 22.96/23.37 X ), ! coll( X, Y, T ) }.
% 22.96/23.37 parent0[1]: (2) {G0,W12,D2,L3,V4,M3} I { ! coll( X, T, Y ), ! coll( X, T, Z
% 22.96/23.37 ), coll( Y, Z, X ) }.
% 22.96/23.37 parent1[1]: (459) {G7,W8,D2,L2,V3,M2} R(402,402) { ! coll( X, Y, Z ), coll
% 22.96/23.37 ( X, Y, Y ) }.
% 22.96/23.37 substitution0:
% 22.96/23.37 X := X
% 22.96/23.37 Y := Z
% 22.96/23.37 Z := Y
% 22.96/23.37 T := Y
% 22.96/23.37 end
% 22.96/23.37 substitution1:
% 22.96/23.37 X := X
% 22.96/23.37 Y := Y
% 22.96/23.37 Z := T
% 22.96/23.37 end
% 22.96/23.37
% 22.96/23.37 subsumption: (470) {G8,W12,D2,L3,V4,M3} R(459,2) { ! coll( X, Y, Z ), !
% 22.96/23.37 coll( X, Y, T ), coll( T, Y, X ) }.
% 22.96/23.37 parent0: (55065) {G1,W12,D2,L3,V4,M3} { ! coll( X, Y, Z ), coll( Z, Y, X )
% 22.96/23.37 , ! coll( X, Y, T ) }.
% 22.96/23.37 substitution0:
% 22.96/23.37 X := X
% 22.96/23.37 Y := Y
% 22.96/23.37 Z := T
% 22.96/23.37 T := Z
% 22.96/23.37 end
% 22.96/23.37 permutation0:
% 22.96/23.37 0 ==> 1
% 22.96/23.37 1 ==> 2
% 22.96/23.37 2 ==> 0
% 22.96/23.37 end
% 22.96/23.37
% 22.96/23.37 factor: (55068) {G8,W8,D2,L2,V3,M2} { ! coll( X, Y, Z ), coll( Z, Y, X )
% 22.96/23.37 }.
% 22.96/23.37 parent0[0, 1]: (470) {G8,W12,D2,L3,V4,M3} R(459,2) { ! coll( X, Y, Z ), !
% 22.96/23.37 coll( X, Y, T ), coll( T, Y, X ) }.
% 22.96/23.37 substitution0:
% 22.96/23.37 X := X
% 22.96/23.37 Y := Y
% 22.96/23.37 Z := Z
% 22.96/23.37 T := Z
% 22.96/23.37 end
% 22.96/23.37
% 22.96/23.37 subsumption: (471) {G9,W8,D2,L2,V3,M2} F(470) { ! coll( X, Y, Z ), coll( Z
% 22.96/23.37 , Y, X ) }.
% 22.96/23.37 parent0: (55068) {G8,W8,D2,L2,V3,M2} { ! coll( X, Y, Z ), coll( Z, Y, X )
% 22.96/23.37 }.
% 22.96/23.37 substitution0:
% 22.96/23.37 X := X
% 22.96/23.37 Y := Y
% 22.96/23.37 Z := Z
% 22.96/23.37 end
% 22.96/23.37 permutation0:
% 22.96/23.37 0 ==> 0
% 22.96/23.37 1 ==> 1
% 22.96/23.37 end
% 22.96/23.37
% 22.96/23.37 resolution: (55069) {G8,W8,D2,L2,V3,M2} { coll( Y, Y, X ), ! coll( X, Y, Z
% 22.96/23.37 ) }.
% 22.96/23.37 parent0[0]: (471) {G9,W8,D2,L2,V3,M2} F(470) { ! coll( X, Y, Z ), coll( Z,
% 22.96/23.37 Y, X ) }.
% 22.96/23.37 parent1[1]: (459) {G7,W8,D2,L2,V3,M2} R(402,402) { ! coll( X, Y, Z ), coll
% 22.96/23.37 ( X, Y, Y ) }.
% 22.96/23.37 substitution0:
% 22.96/23.37 X := X
% 22.96/23.37 Y := Y
% 22.96/23.37 Z := Y
% 22.96/23.37 end
% 22.96/23.37 substitution1:
% 22.96/23.37 X := X
% 22.96/23.37 Y := Y
% 22.96/23.37 Z := Z
% 22.96/23.37 end
% 22.96/23.37
% 22.96/23.37 subsumption: (472) {G10,W8,D2,L2,V3,M2} R(471,459) { coll( X, X, Y ), !
% 22.96/23.37 coll( Y, X, Z ) }.
% 22.96/23.37 parent0: (55069) {G8,W8,D2,L2,V3,M2} { coll( Y, Y, X ), ! coll( X, Y, Z )
% 22.96/23.37 }.
% 22.96/23.37 substitution0:
% 22.96/23.37 X := Y
% 22.96/23.37 Y := X
% 22.96/23.37 Z := Z
% 22.96/23.37 end
% 22.96/23.37 permutation0:
% 22.96/23.37 0 ==> 0
% 22.96/23.37 1 ==> 1
% 22.96/23.37 end
% 22.96/23.37
% 22.96/23.37 resolution: (55070) {G7,W8,D2,L2,V3,M2} { coll( Y, Y, X ), ! coll( Y, X, Z
% 22.96/23.37 ) }.
% 22.96/23.37 parent0[0]: (471) {G9,W8,D2,L2,V3,M2} F(470) { ! coll( X, Y, Z ), coll( Z,
% 22.96/23.37 Y, X ) }.
% 22.96/23.37 parent1[0]: (402) {G6,W8,D2,L2,V3,M2} R(394,0) { coll( X, Y, Y ), ! coll( Y
% 22.96/23.37 , X, Z ) }.
% 22.96/23.37 substitution0:
% 22.96/23.37 X := X
% 22.96/23.37 Y := Y
% 22.96/23.37 Z := Y
% 22.96/23.37 end
% 22.96/23.37 substitution1:
% 22.96/23.37 X := X
% 22.96/23.37 Y := Y
% 22.96/23.37 Z := Z
% 22.96/23.37 end
% 22.96/23.37
% 22.96/23.37 subsumption: (473) {G10,W8,D2,L2,V3,M2} R(471,402) { coll( X, X, Y ), !
% 22.96/23.37 coll( X, Y, Z ) }.
% 22.96/23.37 parent0: (55070) {G7,W8,D2,L2,V3,M2} { coll( Y, Y, X ), ! coll( Y, X, Z )
% 22.96/23.37 }.
% 22.96/23.37 substitution0:
% 22.96/23.37 X := Y
% 22.96/23.37 Y := X
% 22.96/23.37 Z := Z
% 22.96/23.37 end
% 22.96/23.37 permutation0:
% 22.96/23.37 0 ==> 0
% 22.96/23.37 1 ==> 1
% 22.96/23.37 end
% 22.96/23.37
% 22.96/23.37 resolution: (55071) {G7,W8,D2,L2,V3,M2} { coll( Y, Y, X ), ! coll( Z, Y, X
% 22.96/23.37 ) }.
% 22.96/23.37 parent0[0]: (471) {G9,W8,D2,L2,V3,M2} F(470) { ! coll( X, Y, Z ), coll( Z,
% 22.96/23.37 Y, X ) }.
% 22.96/23.37 parent1[0]: (400) {G6,W8,D2,L2,V3,M2} R(394,1) { coll( X, Y, Y ), ! coll( Z
% 22.96/23.37 , Y, X ) }.
% 22.96/23.37 substitution0:
% 22.96/23.37 X := X
% 22.96/23.37 Y := Y
% 22.96/23.37 Z := Y
% 22.96/23.37 end
% 22.96/23.37 substitution1:
% 22.96/23.37 X := X
% 22.96/23.37 Y := Y
% 22.96/23.37 Z := Z
% 22.96/23.37 end
% 22.96/23.37
% 22.96/23.37 subsumption: (475) {G10,W8,D2,L2,V3,M2} R(471,400) { coll( X, X, Y ), !
% 22.96/23.37 coll( Z, X, Y ) }.
% 22.96/23.37 parent0: (55071) {G7,W8,D2,L2,V3,M2} { coll( Y, Y, X ), ! coll( Z, Y, X )
% 22.96/23.37 }.
% 22.96/23.37 substitution0:
% 22.96/23.37 X := Y
% 22.96/23.37 Y := X
% 22.96/23.37 Z := Z
% 22.96/23.37 end
% 22.96/23.37 permutation0:
% 22.96/23.37 0 ==> 0
% 22.96/23.37 1 ==> 1
% 22.96/23.37 end
% 22.96/23.37
% 22.96/23.37 resolution: (55072) {G2,W8,D2,L2,V2,M2} { coll( skol24, X, skol27 ), !
% 22.96/23.37 coll( X, Y, skol27 ) }.
% 22.96/23.37 parent0[0]: (343) {G5,W8,D2,L2,V1,M2} R(341,2) { ! coll( skol27, skol27, X
% 22.96/23.37 ), coll( skol24, X, skol27 ) }.
% 22.96/23.37 parent1[1]: (123) {G1,W8,D2,L2,V3,M2} F(2) { ! coll( X, Y, Z ), coll( Z, Z
% 22.96/23.37 , X ) }.
% 22.96/23.37 substitution0:
% 22.96/23.37 X := X
% 22.96/23.37 end
% 22.96/23.37 substitution1:
% 22.96/23.37 X := X
% 22.96/23.37 Y := Y
% 22.96/23.37 Z := skol27
% 22.96/23.37 end
% 22.96/23.37
% 22.96/23.37 subsumption: (538) {G6,W8,D2,L2,V2,M2} R(343,123) { coll( skol24, X, skol27
% 22.96/23.37 ), ! coll( X, Y, skol27 ) }.
% 22.96/23.37 parent0: (55072) {G2,W8,D2,L2,V2,M2} { coll( skol24, X, skol27 ), ! coll(
% 22.96/23.37 X, Y, skol27 ) }.
% 22.96/23.37 substitution0:
% 22.96/23.37 X := X
% 22.96/23.37 Y := Y
% 22.96/23.37 end
% 22.96/23.37 permutation0:
% 22.96/23.37 0 ==> 0
% 22.96/23.37 1 ==> 1
% 22.96/23.37 end
% 22.96/23.37
% 22.96/23.37 resolution: (55074) {G2,W8,D2,L2,V2,M2} { coll( X, skol27, skol24 ), !
% 22.96/23.37 coll( X, Y, skol27 ) }.
% 22.96/23.37 parent0[0]: (167) {G1,W8,D2,L2,V3,M2} R(1,0) { ! coll( X, Y, Z ), coll( Y,
% 22.96/23.37 Z, X ) }.
% 22.96/23.37 parent1[0]: (538) {G6,W8,D2,L2,V2,M2} R(343,123) { coll( skol24, X, skol27
% 22.96/23.37 ), ! coll( X, Y, skol27 ) }.
% 22.96/23.37 substitution0:
% 22.96/23.37 X := skol24
% 22.96/23.37 Y := X
% 22.96/23.37 Z := skol27
% 22.96/23.37 end
% 22.96/23.37 substitution1:
% 22.96/23.37 X := X
% 22.96/23.37 Y := Y
% 22.96/23.37 end
% 22.96/23.37
% 22.96/23.37 subsumption: (655) {G7,W8,D2,L2,V2,M2} R(538,167) { ! coll( X, Y, skol27 )
% 22.96/23.37 , coll( X, skol27, skol24 ) }.
% 22.96/23.37 parent0: (55074) {G2,W8,D2,L2,V2,M2} { coll( X, skol27, skol24 ), ! coll(
% 22.96/23.37 X, Y, skol27 ) }.
% 22.96/23.37 substitution0:
% 22.96/23.37 X := X
% 22.96/23.37 Y := Y
% 22.96/23.37 end
% 22.96/23.37 permutation0:
% 22.96/23.37 0 ==> 1
% 22.96/23.37 1 ==> 0
% 22.96/23.37 end
% 22.96/23.37
% 22.96/23.37 resolution: (55075) {G8,W8,D2,L2,V2,M2} { coll( X, skol27, skol24 ), !
% 22.96/23.37 coll( X, skol27, Y ) }.
% 22.96/23.37 parent0[0]: (655) {G7,W8,D2,L2,V2,M2} R(538,167) { ! coll( X, Y, skol27 ),
% 22.96/23.37 coll( X, skol27, skol24 ) }.
% 22.96/23.37 parent1[0]: (473) {G10,W8,D2,L2,V3,M2} R(471,402) { coll( X, X, Y ), ! coll
% 22.96/23.37 ( X, Y, Z ) }.
% 22.96/23.37 substitution0:
% 22.96/23.37 X := X
% 22.96/23.37 Y := X
% 22.96/23.37 end
% 22.96/23.37 substitution1:
% 22.96/23.37 X := X
% 22.96/23.37 Y := skol27
% 22.96/23.37 Z := Y
% 22.96/23.37 end
% 22.96/23.37
% 22.96/23.37 subsumption: (677) {G11,W8,D2,L2,V2,M2} R(655,473) { coll( X, skol27,
% 22.96/23.37 skol24 ), ! coll( X, skol27, Y ) }.
% 22.96/23.37 parent0: (55075) {G8,W8,D2,L2,V2,M2} { coll( X, skol27, skol24 ), ! coll(
% 22.96/23.37 X, skol27, Y ) }.
% 22.96/23.37 substitution0:
% 22.96/23.37 X := X
% 22.96/23.37 Y := Y
% 22.96/23.37 end
% 22.96/23.37 permutation0:
% 22.96/23.37 0 ==> 0
% 22.96/23.37 1 ==> 1
% 22.96/23.37 end
% 22.96/23.37
% 22.96/23.37 resolution: (55076) {G1,W9,D2,L1,V2,M1} { ! eqangle( skol20, skol22, X, Y
% 22.96/23.37 , skol24, skol23, X, Y ) }.
% 22.96/23.37 parent0[0]: (122) {G0,W5,D2,L1,V0,M1} I { ! para( skol20, skol22, skol24,
% 22.96/23.37 skol23 ) }.
% 22.96/23.37 parent1[1]: (38) {G0,W14,D2,L2,V6,M2} I { ! eqangle( X, Y, U, W, Z, T, U, W
% 22.96/23.37 ), para( X, Y, Z, T ) }.
% 22.96/23.37 substitution0:
% 22.96/23.37 end
% 22.96/23.37 substitution1:
% 22.96/23.37 X := skol20
% 22.96/23.37 Y := skol22
% 22.96/23.37 Z := skol24
% 22.96/23.37 T := skol23
% 22.96/23.37 U := X
% 22.96/23.37 W := Y
% 22.96/23.37 end
% 22.96/23.37
% 22.96/23.37 subsumption: (775) {G1,W9,D2,L1,V2,M1} R(38,122) { ! eqangle( skol20,
% 22.96/23.37 skol22, X, Y, skol24, skol23, X, Y ) }.
% 22.96/23.37 parent0: (55076) {G1,W9,D2,L1,V2,M1} { ! eqangle( skol20, skol22, X, Y,
% 22.96/23.37 skol24, skol23, X, Y ) }.
% 22.96/23.37 substitution0:
% 22.96/23.37 X := X
% 22.96/23.37 Y := Y
% 22.96/23.37 end
% 22.96/23.37 permutation0:
% 22.96/23.37 0 ==> 0
% 22.96/23.37 end
% 22.96/23.37
% 22.96/23.37 resolution: (55077) {G1,W14,D2,L2,V6,M2} { eqangle( Z, T, X, Y, Z, T, U, W
% 22.96/23.37 ), ! para( X, Y, U, W ) }.
% 22.96/23.37 parent0[0]: (18) {G0,W18,D2,L2,V8,M2} I { ! eqangle( X, Y, Z, T, U, W, V0,
% 22.96/23.37 V1 ), eqangle( Z, T, X, Y, V0, V1, U, W ) }.
% 22.96/23.37 parent1[1]: (39) {G0,W14,D2,L2,V6,M2} I { ! para( X, Y, Z, T ), eqangle( X
% 22.96/23.37 , Y, U, W, Z, T, U, W ) }.
% 22.96/23.37 substitution0:
% 22.96/23.37 X := X
% 22.96/23.37 Y := Y
% 22.96/23.37 Z := Z
% 22.96/23.37 T := T
% 22.96/23.37 U := U
% 22.96/23.37 W := W
% 22.96/23.37 V0 := Z
% 22.96/23.37 V1 := T
% 22.96/23.37 end
% 22.96/23.37 substitution1:
% 22.96/23.37 X := X
% 22.96/23.37 Y := Y
% 22.96/23.37 Z := U
% 22.96/23.37 T := W
% 22.96/23.37 U := Z
% 22.96/23.37 W := T
% 22.96/23.37 end
% 22.96/23.37
% 22.96/23.37 subsumption: (791) {G1,W14,D2,L2,V6,M2} R(39,18) { ! para( X, Y, Z, T ),
% 22.96/23.37 eqangle( U, W, X, Y, U, W, Z, T ) }.
% 22.96/23.37 parent0: (55077) {G1,W14,D2,L2,V6,M2} { eqangle( Z, T, X, Y, Z, T, U, W )
% 22.96/23.37 , ! para( X, Y, U, W ) }.
% 22.96/23.37 substitution0:
% 22.96/23.37 X := X
% 22.96/23.37 Y := Y
% 22.96/23.37 Z := U
% 22.96/23.37 T := W
% 22.96/23.37 U := Z
% 22.96/23.37 W := T
% 22.96/23.37 end
% 22.96/23.37 permutation0:
% 22.96/23.37 0 ==> 1
% 22.96/23.37 1 ==> 0
% 22.96/23.37 end
% 22.96/23.37
% 22.96/23.37 resolution: (55078) {G1,W14,D2,L2,V6,M2} { eqangle( X, Y, U, W, Z, T, U, W
% 22.96/23.37 ), ! para( X, Y, T, Z ) }.
% 22.96/23.37 parent0[0]: (39) {G0,W14,D2,L2,V6,M2} I { ! para( X, Y, Z, T ), eqangle( X
% 22.96/23.37 , Y, U, W, Z, T, U, W ) }.
% 22.96/23.37 parent1[1]: (3) {G0,W10,D2,L2,V4,M2} I { ! para( X, Y, Z, T ), para( X, Y,
% 22.96/23.37 T, Z ) }.
% 22.96/23.37 substitution0:
% 22.96/23.37 X := X
% 22.96/23.37 Y := Y
% 22.96/23.37 Z := Z
% 22.96/23.37 T := T
% 22.96/23.37 U := U
% 22.96/23.37 W := W
% 22.96/23.37 end
% 22.96/23.37 substitution1:
% 22.96/23.37 X := X
% 22.96/23.37 Y := Y
% 22.96/23.37 Z := T
% 22.96/23.37 T := Z
% 22.96/23.37 end
% 22.96/23.37
% 22.96/23.37 subsumption: (795) {G1,W14,D2,L2,V6,M2} R(39,3) { eqangle( X, Y, Z, T, U, W
% 22.96/23.37 , Z, T ), ! para( X, Y, W, U ) }.
% 22.96/23.37 parent0: (55078) {G1,W14,D2,L2,V6,M2} { eqangle( X, Y, U, W, Z, T, U, W )
% 22.96/23.37 , ! para( X, Y, T, Z ) }.
% 22.96/23.37 substitution0:
% 22.96/23.37 X := X
% 22.96/23.37 Y := Y
% 22.96/23.37 Z := U
% 22.96/23.37 T := W
% 22.96/23.37 U := Z
% 22.96/23.37 W := T
% 22.96/23.37 end
% 22.96/23.37 permutation0:
% 22.96/23.37 0 ==> 0
% 22.96/23.37 1 ==> 1
% 22.96/23.37 end
% 22.96/23.37
% 22.96/23.37 resolution: (55079) {G1,W18,D2,L3,V4,M3} { ! coll( X, T, Z ), cyclic( Y, Z
% 22.96/23.37 , X, T ), ! eqangle( T, Y, T, Z, X, Y, X, Z ) }.
% 22.96/23.37 parent0[0]: (42) {G0,W18,D2,L3,V4,M3} I { ! eqangle( Z, X, Z, Y, T, X, T, Y
% 22.96/23.37 ), ! coll( Z, T, Y ), cyclic( X, Y, Z, T ) }.
% 22.96/23.37 parent1[1]: (19) {G0,W18,D2,L2,V8,M2} I { ! eqangle( X, Y, Z, T, U, W, V0,
% 22.96/23.37 V1 ), eqangle( U, W, V0, V1, X, Y, Z, T ) }.
% 22.96/23.37 substitution0:
% 22.96/23.37 X := Y
% 22.96/23.37 Y := Z
% 22.96/23.37 Z := X
% 22.96/23.37 T := T
% 22.96/23.37 end
% 22.96/23.37 substitution1:
% 22.96/23.37 X := T
% 22.96/23.37 Y := Y
% 22.96/23.37 Z := T
% 22.96/23.37 T := Z
% 22.96/23.37 U := X
% 22.96/23.37 W := Y
% 22.96/23.37 V0 := X
% 22.96/23.37 V1 := Z
% 22.96/23.37 end
% 22.96/23.37
% 22.96/23.37 subsumption: (867) {G1,W18,D2,L3,V4,M3} R(42,19) { ! coll( X, Y, Z ),
% 22.96/23.37 cyclic( T, Z, X, Y ), ! eqangle( Y, T, Y, Z, X, T, X, Z ) }.
% 22.96/23.37 parent0: (55079) {G1,W18,D2,L3,V4,M3} { ! coll( X, T, Z ), cyclic( Y, Z, X
% 22.96/23.37 , T ), ! eqangle( T, Y, T, Z, X, Y, X, Z ) }.
% 22.96/23.37 substitution0:
% 22.96/23.37 X := X
% 22.96/23.37 Y := T
% 22.96/23.37 Z := Z
% 22.96/23.37 T := Y
% 22.96/23.37 end
% 22.96/23.37 permutation0:
% 22.96/23.37 0 ==> 0
% 22.96/23.37 1 ==> 1
% 22.96/23.37 2 ==> 2
% 22.96/23.37 end
% 22.96/23.37
% 22.96/23.37 resolution: (55080) {G1,W25,D2,L5,V4,M5} { ! cyclic( X, Y, Z, X ), !
% 22.96/23.37 cyclic( X, Y, Z, Y ), ! cyclic( X, Y, Z, T ), cong( X, Y, X, Y ), !
% 22.96/23.37 cyclic( X, Y, Z, T ) }.
% 22.96/23.37 parent0[3]: (43) {G0,W29,D2,L5,V6,M5} I { ! cyclic( X, Y, U, Z ), ! cyclic
% 22.96/23.37 ( X, Y, U, T ), ! cyclic( X, Y, U, W ), ! eqangle( U, X, U, Y, W, Z, W, T
% 22.96/23.37 ), cong( X, Y, Z, T ) }.
% 22.96/23.37 parent1[1]: (40) {G0,W14,D2,L2,V4,M2} I { ! cyclic( X, Y, Z, T ), eqangle(
% 22.96/23.37 Z, X, Z, Y, T, X, T, Y ) }.
% 22.96/23.37 substitution0:
% 22.96/23.37 X := X
% 22.96/23.37 Y := Y
% 22.96/23.37 Z := X
% 22.96/23.37 T := Y
% 22.96/23.37 U := Z
% 22.96/23.37 W := T
% 22.96/23.37 end
% 22.96/23.37 substitution1:
% 22.96/23.37 X := X
% 22.96/23.37 Y := Y
% 22.96/23.37 Z := Z
% 22.96/23.37 T := T
% 22.96/23.37 end
% 22.96/23.37
% 22.96/23.37 factor: (55082) {G1,W20,D2,L4,V3,M4} { ! cyclic( X, Y, Z, X ), ! cyclic( X
% 22.96/23.37 , Y, Z, Y ), cong( X, Y, X, Y ), ! cyclic( X, Y, Z, X ) }.
% 22.96/23.37 parent0[0, 2]: (55080) {G1,W25,D2,L5,V4,M5} { ! cyclic( X, Y, Z, X ), !
% 22.96/23.37 cyclic( X, Y, Z, Y ), ! cyclic( X, Y, Z, T ), cong( X, Y, X, Y ), !
% 22.96/23.37 cyclic( X, Y, Z, T ) }.
% 22.96/23.37 substitution0:
% 22.96/23.37 X := X
% 22.96/23.37 Y := Y
% 22.96/23.37 Z := Z
% 22.96/23.37 T := X
% 22.96/23.37 end
% 22.96/23.37
% 22.96/23.37 subsumption: (945) {G1,W20,D2,L4,V4,M4} R(43,40);f { ! cyclic( X, Y, Z, X )
% 22.96/23.37 , ! cyclic( X, Y, Z, Y ), ! cyclic( X, Y, Z, T ), cong( X, Y, X, Y ) }.
% 22.96/23.37 parent0: (55082) {G1,W20,D2,L4,V3,M4} { ! cyclic( X, Y, Z, X ), ! cyclic(
% 22.96/23.37 X, Y, Z, Y ), cong( X, Y, X, Y ), ! cyclic( X, Y, Z, X ) }.
% 22.96/23.37 substitution0:
% 22.96/23.37 X := X
% 22.96/23.37 Y := Y
% 22.96/23.37 Z := Z
% 22.96/23.37 end
% 22.96/23.37 permutation0:
% 22.96/23.37 0 ==> 0
% 22.96/23.37 1 ==> 1
% 22.96/23.37 2 ==> 3
% 22.96/23.37 3 ==> 0
% 22.96/23.37 end
% 22.96/23.37
% 22.96/23.37 factor: (55087) {G1,W15,D2,L3,V3,M3} { ! cyclic( X, Y, Z, X ), ! cyclic( X
% 22.96/23.37 , Y, Z, Y ), cong( X, Y, X, Y ) }.
% 22.96/23.37 parent0[0, 2]: (945) {G1,W20,D2,L4,V4,M4} R(43,40);f { ! cyclic( X, Y, Z, X
% 22.96/23.37 ), ! cyclic( X, Y, Z, Y ), ! cyclic( X, Y, Z, T ), cong( X, Y, X, Y )
% 22.96/23.37 }.
% 22.96/23.37 substitution0:
% 22.96/23.37 X := X
% 22.96/23.37 Y := Y
% 22.96/23.37 Z := Z
% 22.96/23.37 T := X
% 22.96/23.37 end
% 22.96/23.37
% 22.96/23.37 subsumption: (977) {G2,W15,D2,L3,V3,M3} F(945) { ! cyclic( X, Y, Z, X ), !
% 22.96/23.37 cyclic( X, Y, Z, Y ), cong( X, Y, X, Y ) }.
% 22.96/23.37 parent0: (55087) {G1,W15,D2,L3,V3,M3} { ! cyclic( X, Y, Z, X ), ! cyclic(
% 22.96/23.37 X, Y, Z, Y ), cong( X, Y, X, Y ) }.
% 22.96/23.37 substitution0:
% 22.96/23.37 X := X
% 22.96/23.37 Y := Y
% 22.96/23.37 Z := Z
% 22.96/23.37 end
% 22.96/23.37 permutation0:
% 22.96/23.37 0 ==> 0
% 22.96/23.37 1 ==> 1
% 22.96/23.37 2 ==> 2
% 22.96/23.37 end
% 22.96/23.37
% 22.96/23.37 resolution: (55089) {G1,W9,D2,L2,V0,M2} { ! coll( skol26, skol20, skol25 )
% 22.96/23.37 , perp( skol20, skol22, skol22, skol25 ) }.
% 22.96/23.37 parent0[0]: (53) {G0,W14,D2,L3,V4,M3} I { ! circle( T, X, Y, Z ), ! coll( T
% 22.96/23.37 , X, Z ), perp( X, Y, Y, Z ) }.
% 22.96/23.37 parent1[0]: (116) {G0,W5,D2,L1,V0,M1} I { circle( skol26, skol20, skol22,
% 22.96/23.37 skol25 ) }.
% 22.96/23.37 substitution0:
% 22.96/23.37 X := skol20
% 22.96/23.37 Y := skol22
% 22.96/23.37 Z := skol25
% 22.96/23.37 T := skol26
% 22.96/23.37 end
% 22.96/23.37 substitution1:
% 22.96/23.37 end
% 22.96/23.37
% 22.96/23.37 subsumption: (1511) {G1,W9,D2,L2,V0,M2} R(53,116) { ! coll( skol26, skol20
% 22.96/23.37 , skol25 ), perp( skol20, skol22, skol22, skol25 ) }.
% 22.96/23.37 parent0: (55089) {G1,W9,D2,L2,V0,M2} { ! coll( skol26, skol20, skol25 ),
% 22.96/23.37 perp( skol20, skol22, skol22, skol25 ) }.
% 22.96/23.37 substitution0:
% 22.96/23.37 end
% 22.96/23.37 permutation0:
% 22.96/23.37 0 ==> 0
% 22.96/23.37 1 ==> 1
% 22.96/23.37 end
% 22.96/23.37
% 22.96/23.37 resolution: (55092) {G1,W12,D2,L3,V3,M3} { ! coll( X, skol27, Y ), coll(
% 22.96/23.37 skol24, Y, X ), ! coll( X, skol27, Z ) }.
% 22.96/23.37 parent0[0]: (2) {G0,W12,D2,L3,V4,M3} I { ! coll( X, T, Y ), ! coll( X, T, Z
% 22.96/23.37 ), coll( Y, Z, X ) }.
% 22.96/23.37 parent1[0]: (677) {G11,W8,D2,L2,V2,M2} R(655,473) { coll( X, skol27, skol24
% 22.96/23.37 ), ! coll( X, skol27, Y ) }.
% 22.96/23.37 substitution0:
% 22.96/23.37 X := X
% 22.96/23.37 Y := skol24
% 22.96/23.37 Z := Y
% 22.96/23.37 T := skol27
% 22.96/23.37 end
% 22.96/23.37 substitution1:
% 22.96/23.37 X := X
% 22.96/23.37 Y := Z
% 22.96/23.37 end
% 22.96/23.37
% 22.96/23.37 subsumption: (1890) {G12,W12,D2,L3,V3,M3} R(677,2) { ! coll( X, skol27, Y )
% 22.96/23.37 , ! coll( X, skol27, Z ), coll( skol24, Z, X ) }.
% 22.96/23.37 parent0: (55092) {G1,W12,D2,L3,V3,M3} { ! coll( X, skol27, Y ), coll(
% 22.96/23.37 skol24, Y, X ), ! coll( X, skol27, Z ) }.
% 22.96/23.37 substitution0:
% 22.96/23.37 X := X
% 22.96/23.37 Y := Z
% 22.96/23.37 Z := Y
% 22.96/23.37 end
% 22.96/23.37 permutation0:
% 22.96/23.37 0 ==> 1
% 22.96/23.37 1 ==> 2
% 22.96/23.37 2 ==> 0
% 22.96/23.37 end
% 22.96/23.37
% 22.96/23.37 factor: (55096) {G12,W8,D2,L2,V2,M2} { ! coll( X, skol27, Y ), coll(
% 22.96/23.37 skol24, Y, X ) }.
% 22.96/23.37 parent0[0, 1]: (1890) {G12,W12,D2,L3,V3,M3} R(677,2) { ! coll( X, skol27, Y
% 22.96/23.37 ), ! coll( X, skol27, Z ), coll( skol24, Z, X ) }.
% 22.96/23.37 substitution0:
% 22.96/23.37 X := X
% 22.96/23.37 Y := Y
% 22.96/23.37 Z := Y
% 22.96/23.37 end
% 22.96/23.37
% 22.96/23.37 subsumption: (1893) {G13,W8,D2,L2,V2,M2} F(1890) { ! coll( X, skol27, Y ),
% 22.96/23.37 coll( skol24, Y, X ) }.
% 22.96/23.37 parent0: (55096) {G12,W8,D2,L2,V2,M2} { ! coll( X, skol27, Y ), coll(
% 22.96/23.37 skol24, Y, X ) }.
% 22.96/23.37 substitution0:
% 22.96/23.37 X := X
% 22.96/23.37 Y := Y
% 22.96/23.37 end
% 22.96/23.37 permutation0:
% 22.96/23.37 0 ==> 0
% 22.96/23.37 1 ==> 1
% 22.96/23.37 end
% 22.96/23.37
% 22.96/23.37 resolution: (55097) {G3,W4,D2,L1,V0,M1} { coll( skol24, skol20, skol22 )
% 22.96/23.37 }.
% 22.96/23.37 parent0[0]: (1893) {G13,W8,D2,L2,V2,M2} F(1890) { ! coll( X, skol27, Y ),
% 22.96/23.37 coll( skol24, Y, X ) }.
% 22.96/23.37 parent1[0]: (165) {G2,W4,D2,L1,V0,M1} R(1,160) { coll( skol22, skol27,
% 22.96/23.37 skol20 ) }.
% 22.96/23.37 substitution0:
% 22.96/23.37 X := skol22
% 22.96/23.37 Y := skol20
% 22.96/23.37 end
% 22.96/23.37 substitution1:
% 22.96/23.37 end
% 22.96/23.37
% 22.96/23.37 subsumption: (1910) {G14,W4,D2,L1,V0,M1} R(1893,165) { coll( skol24, skol20
% 22.96/23.37 , skol22 ) }.
% 22.96/23.37 parent0: (55097) {G3,W4,D2,L1,V0,M1} { coll( skol24, skol20, skol22 ) }.
% 22.96/23.37 substitution0:
% 22.96/23.37 end
% 22.96/23.37 permutation0:
% 22.96/23.37 0 ==> 0
% 22.96/23.37 end
% 22.96/23.37
% 22.96/23.37 resolution: (55098) {G1,W8,D2,L2,V2,M2} { coll( skol24, Y, X ), ! coll( X
% 22.96/23.37 , Y, skol27 ) }.
% 22.96/23.37 parent0[0]: (1893) {G13,W8,D2,L2,V2,M2} F(1890) { ! coll( X, skol27, Y ),
% 22.96/23.37 coll( skol24, Y, X ) }.
% 22.96/23.37 parent1[1]: (0) {G0,W8,D2,L2,V3,M2} I { ! coll( X, Y, Z ), coll( X, Z, Y )
% 22.96/23.37 }.
% 22.96/23.37 substitution0:
% 22.96/23.37 X := X
% 22.96/23.37 Y := Y
% 22.96/23.37 end
% 22.96/23.37 substitution1:
% 22.96/23.37 X := X
% 22.96/23.37 Y := Y
% 22.96/23.37 Z := skol27
% 22.96/23.37 end
% 22.96/23.37
% 22.96/23.37 subsumption: (1913) {G14,W8,D2,L2,V2,M2} R(1893,0) { coll( skol24, X, Y ),
% 22.96/23.37 ! coll( Y, X, skol27 ) }.
% 22.96/23.37 parent0: (55098) {G1,W8,D2,L2,V2,M2} { coll( skol24, Y, X ), ! coll( X, Y
% 22.96/23.37 , skol27 ) }.
% 22.96/23.37 substitution0:
% 22.96/23.37 X := Y
% 22.96/23.37 Y := X
% 22.96/23.37 end
% 22.96/23.37 permutation0:
% 22.96/23.37 0 ==> 0
% 22.96/23.37 1 ==> 1
% 22.96/23.37 end
% 22.96/23.37
% 22.96/23.37 resolution: (55099) {G1,W8,D2,L2,V1,M2} { ! coll( skol24, skol20, X ),
% 22.96/23.37 coll( skol22, X, skol24 ) }.
% 22.96/23.37 parent0[0]: (2) {G0,W12,D2,L3,V4,M3} I { ! coll( X, T, Y ), ! coll( X, T, Z
% 22.96/23.37 ), coll( Y, Z, X ) }.
% 22.96/23.37 parent1[0]: (1910) {G14,W4,D2,L1,V0,M1} R(1893,165) { coll( skol24, skol20
% 22.96/23.37 , skol22 ) }.
% 22.96/23.37 substitution0:
% 22.96/23.37 X := skol24
% 22.96/23.37 Y := skol22
% 22.96/23.37 Z := X
% 22.96/23.37 T := skol20
% 22.96/23.37 end
% 22.96/23.37 substitution1:
% 22.96/23.37 end
% 22.96/23.37
% 22.96/23.37 subsumption: (1982) {G15,W8,D2,L2,V1,M2} R(1910,2) { ! coll( skol24, skol20
% 22.96/23.37 , X ), coll( skol22, X, skol24 ) }.
% 22.96/23.37 parent0: (55099) {G1,W8,D2,L2,V1,M2} { ! coll( skol24, skol20, X ), coll(
% 22.96/23.37 skol22, X, skol24 ) }.
% 22.96/23.37 substitution0:
% 22.96/23.37 X := X
% 22.96/23.37 end
% 22.96/23.37 permutation0:
% 22.96/23.37 0 ==> 0
% 22.96/23.37 1 ==> 1
% 22.96/23.37 end
% 22.96/23.37
% 22.96/23.37 resolution: (55101) {G15,W8,D2,L2,V1,M2} { coll( skol22, X, skol24 ), !
% 22.96/23.37 coll( X, skol20, skol27 ) }.
% 22.96/23.37 parent0[0]: (1982) {G15,W8,D2,L2,V1,M2} R(1910,2) { ! coll( skol24, skol20
% 22.96/23.37 , X ), coll( skol22, X, skol24 ) }.
% 22.96/23.37 parent1[0]: (1913) {G14,W8,D2,L2,V2,M2} R(1893,0) { coll( skol24, X, Y ), !
% 22.96/23.37 coll( Y, X, skol27 ) }.
% 22.96/23.37 substitution0:
% 22.96/23.37 X := X
% 22.96/23.37 end
% 22.96/23.37 substitution1:
% 22.96/23.37 X := skol20
% 22.96/23.37 Y := X
% 22.96/23.37 end
% 22.96/23.37
% 22.96/23.37 subsumption: (3064) {G16,W8,D2,L2,V1,M2} R(1982,1913) { coll( skol22, X,
% 22.96/23.37 skol24 ), ! coll( X, skol20, skol27 ) }.
% 22.96/23.37 parent0: (55101) {G15,W8,D2,L2,V1,M2} { coll( skol22, X, skol24 ), ! coll
% 22.96/23.37 ( X, skol20, skol27 ) }.
% 22.96/23.37 substitution0:
% 22.96/23.37 X := X
% 22.96/23.37 end
% 22.96/23.37 permutation0:
% 22.96/23.37 0 ==> 0
% 22.96/23.37 1 ==> 1
% 22.96/23.37 end
% 22.96/23.37
% 22.96/23.37 resolution: (55103) {G2,W8,D2,L2,V1,M2} { coll( X, skol24, skol22 ), !
% 22.96/23.37 coll( X, skol20, skol27 ) }.
% 22.96/23.37 parent0[0]: (167) {G1,W8,D2,L2,V3,M2} R(1,0) { ! coll( X, Y, Z ), coll( Y,
% 22.96/23.37 Z, X ) }.
% 22.96/23.37 parent1[0]: (3064) {G16,W8,D2,L2,V1,M2} R(1982,1913) { coll( skol22, X,
% 22.96/23.37 skol24 ), ! coll( X, skol20, skol27 ) }.
% 22.96/23.37 substitution0:
% 22.96/23.37 X := skol22
% 22.96/23.37 Y := X
% 22.96/23.37 Z := skol24
% 22.96/23.37 end
% 22.96/23.37 substitution1:
% 22.96/23.37 X := X
% 22.96/23.37 end
% 22.96/23.37
% 22.96/23.37 subsumption: (3106) {G17,W8,D2,L2,V1,M2} R(3064,167) { ! coll( X, skol20,
% 22.96/23.37 skol27 ), coll( X, skol24, skol22 ) }.
% 22.96/23.37 parent0: (55103) {G2,W8,D2,L2,V1,M2} { coll( X, skol24, skol22 ), ! coll(
% 22.96/23.37 X, skol20, skol27 ) }.
% 22.96/23.37 substitution0:
% 22.96/23.37 X := X
% 22.96/23.37 end
% 22.96/23.37 permutation0:
% 22.96/23.37 0 ==> 1
% 22.96/23.37 1 ==> 0
% 22.96/23.37 end
% 22.96/23.37
% 22.96/23.37 resolution: (55104) {G2,W8,D2,L2,V1,M2} { coll( X, skol24, skol22 ), !
% 22.96/23.37 coll( skol27, X, skol20 ) }.
% 22.96/23.37 parent0[0]: (3106) {G17,W8,D2,L2,V1,M2} R(3064,167) { ! coll( X, skol20,
% 22.96/23.37 skol27 ), coll( X, skol24, skol22 ) }.
% 22.96/23.37 parent1[1]: (167) {G1,W8,D2,L2,V3,M2} R(1,0) { ! coll( X, Y, Z ), coll( Y,
% 22.96/23.37 Z, X ) }.
% 22.96/23.37 substitution0:
% 22.96/23.37 X := X
% 22.96/23.37 end
% 22.96/23.37 substitution1:
% 22.96/23.37 X := skol27
% 22.96/23.37 Y := X
% 22.96/23.37 Z := skol20
% 22.96/23.37 end
% 22.96/23.37
% 22.96/23.37 subsumption: (3124) {G18,W8,D2,L2,V1,M2} R(3106,167) { coll( X, skol24,
% 22.96/23.37 skol22 ), ! coll( skol27, X, skol20 ) }.
% 22.96/23.37 parent0: (55104) {G2,W8,D2,L2,V1,M2} { coll( X, skol24, skol22 ), ! coll(
% 22.96/23.37 skol27, X, skol20 ) }.
% 22.96/23.37 substitution0:
% 22.96/23.37 X := X
% 22.96/23.37 end
% 22.96/23.37 permutation0:
% 22.96/23.37 0 ==> 0
% 22.96/23.37 1 ==> 1
% 22.96/23.37 end
% 22.96/23.37
% 22.96/23.37 resolution: (55106) {G2,W8,D2,L2,V1,M2} { coll( skol22, skol22, X ), !
% 22.96/23.37 coll( skol27, X, skol20 ) }.
% 22.96/23.37 parent0[0]: (123) {G1,W8,D2,L2,V3,M2} F(2) { ! coll( X, Y, Z ), coll( Z, Z
% 22.96/23.37 , X ) }.
% 22.96/23.37 parent1[0]: (3124) {G18,W8,D2,L2,V1,M2} R(3106,167) { coll( X, skol24,
% 22.96/23.37 skol22 ), ! coll( skol27, X, skol20 ) }.
% 22.96/23.37 substitution0:
% 22.96/23.37 X := X
% 22.96/23.37 Y := skol24
% 22.96/23.37 Z := skol22
% 22.96/23.37 end
% 22.96/23.37 substitution1:
% 22.96/23.37 X := X
% 22.96/23.37 end
% 22.96/23.37
% 22.96/23.37 subsumption: (3477) {G19,W8,D2,L2,V1,M2} R(3124,123) { ! coll( skol27, X,
% 22.96/23.37 skol20 ), coll( skol22, skol22, X ) }.
% 22.96/23.37 parent0: (55106) {G2,W8,D2,L2,V1,M2} { coll( skol22, skol22, X ), ! coll(
% 22.96/23.37 skol27, X, skol20 ) }.
% 22.96/23.37 substitution0:
% 22.96/23.37 X := X
% 22.96/23.37 end
% 22.96/23.37 permutation0:
% 22.96/23.37 0 ==> 1
% 22.96/23.37 1 ==> 0
% 22.96/23.37 end
% 22.96/23.37
% 22.96/23.37 resolution: (55107) {G2,W8,D2,L2,V1,M2} { coll( skol22, skol22, X ), !
% 22.96/23.37 coll( skol20, skol27, X ) }.
% 22.96/23.37 parent0[0]: (3477) {G19,W8,D2,L2,V1,M2} R(3124,123) { ! coll( skol27, X,
% 22.96/23.37 skol20 ), coll( skol22, skol22, X ) }.
% 22.96/23.37 parent1[1]: (167) {G1,W8,D2,L2,V3,M2} R(1,0) { ! coll( X, Y, Z ), coll( Y,
% 22.96/23.37 Z, X ) }.
% 22.96/23.37 substitution0:
% 22.96/23.37 X := X
% 22.96/23.37 end
% 22.96/23.37 substitution1:
% 22.96/23.37 X := skol20
% 22.96/23.37 Y := skol27
% 22.96/23.37 Z := X
% 22.96/23.37 end
% 22.96/23.37
% 22.96/23.37 subsumption: (3494) {G20,W8,D2,L2,V1,M2} R(3477,167) { coll( skol22, skol22
% 22.96/23.37 , X ), ! coll( skol20, skol27, X ) }.
% 22.96/23.37 parent0: (55107) {G2,W8,D2,L2,V1,M2} { coll( skol22, skol22, X ), ! coll(
% 22.96/23.37 skol20, skol27, X ) }.
% 22.96/23.37 substitution0:
% 22.96/23.37 X := X
% 22.96/23.37 end
% 22.96/23.37 permutation0:
% 22.96/23.37 0 ==> 0
% 22.96/23.37 1 ==> 1
% 22.96/23.37 end
% 22.96/23.37
% 22.96/23.37 resolution: (55108) {G2,W8,D2,L2,V1,M2} { coll( X, X, skol22 ), ! coll(
% 22.96/23.37 skol20, skol27, X ) }.
% 22.96/23.37 parent0[0]: (123) {G1,W8,D2,L2,V3,M2} F(2) { ! coll( X, Y, Z ), coll( Z, Z
% 22.96/23.37 , X ) }.
% 22.96/23.37 parent1[0]: (3494) {G20,W8,D2,L2,V1,M2} R(3477,167) { coll( skol22, skol22
% 22.96/23.37 , X ), ! coll( skol20, skol27, X ) }.
% 22.96/23.37 substitution0:
% 22.96/23.37 X := skol22
% 22.96/23.37 Y := skol22
% 22.96/23.37 Z := X
% 22.96/23.37 end
% 22.96/23.37 substitution1:
% 22.96/23.37 X := X
% 22.96/23.37 end
% 22.96/23.37
% 22.96/23.37 subsumption: (3748) {G21,W8,D2,L2,V1,M2} R(3494,123) { ! coll( skol20,
% 22.96/23.37 skol27, X ), coll( X, X, skol22 ) }.
% 22.96/23.37 parent0: (55108) {G2,W8,D2,L2,V1,M2} { coll( X, X, skol22 ), ! coll(
% 22.96/23.37 skol20, skol27, X ) }.
% 22.96/23.37 substitution0:
% 22.96/23.37 X := X
% 22.96/23.37 end
% 22.96/23.37 permutation0:
% 22.96/23.37 0 ==> 1
% 22.96/23.37 1 ==> 0
% 22.96/23.37 end
% 22.96/23.37
% 22.96/23.37 resolution: (55109) {G10,W8,D2,L2,V1,M2} { coll( X, X, skol22 ), ! coll( X
% 22.96/23.37 , skol27, skol20 ) }.
% 22.96/23.37 parent0[0]: (3748) {G21,W8,D2,L2,V1,M2} R(3494,123) { ! coll( skol20,
% 22.96/23.37 skol27, X ), coll( X, X, skol22 ) }.
% 22.96/23.37 parent1[1]: (471) {G9,W8,D2,L2,V3,M2} F(470) { ! coll( X, Y, Z ), coll( Z,
% 22.96/23.37 Y, X ) }.
% 22.96/23.37 substitution0:
% 22.96/23.37 X := X
% 22.96/23.37 end
% 22.96/23.37 substitution1:
% 22.96/23.37 X := X
% 22.96/23.37 Y := skol27
% 22.96/23.37 Z := skol20
% 22.96/23.37 end
% 22.96/23.37
% 22.96/23.37 subsumption: (3760) {G22,W8,D2,L2,V1,M2} R(3748,471) { coll( X, X, skol22 )
% 22.96/23.37 , ! coll( X, skol27, skol20 ) }.
% 22.96/23.37 parent0: (55109) {G10,W8,D2,L2,V1,M2} { coll( X, X, skol22 ), ! coll( X,
% 22.96/23.37 skol27, skol20 ) }.
% 22.96/23.37 substitution0:
% 22.96/23.37 X := X
% 22.96/23.37 end
% 22.96/23.37 permutation0:
% 22.96/23.37 0 ==> 0
% 22.96/23.37 1 ==> 1
% 22.96/23.37 end
% 22.96/23.37
% 22.96/23.37 resolution: (55111) {G2,W8,D2,L2,V1,M2} { coll( skol22, X, X ), ! coll( X
% 22.96/23.37 , skol27, skol20 ) }.
% 22.96/23.37 parent0[1]: (166) {G1,W8,D2,L2,V3,M2} R(1,0) { coll( X, Y, Z ), ! coll( Y,
% 22.96/23.37 Z, X ) }.
% 22.96/23.37 parent1[0]: (3760) {G22,W8,D2,L2,V1,M2} R(3748,471) { coll( X, X, skol22 )
% 22.96/23.37 , ! coll( X, skol27, skol20 ) }.
% 22.96/23.37 substitution0:
% 22.96/23.37 X := skol22
% 22.96/23.37 Y := X
% 22.96/23.37 Z := X
% 22.96/23.37 end
% 22.96/23.37 substitution1:
% 22.96/23.37 X := X
% 22.96/23.37 end
% 22.96/23.37
% 22.96/23.37 subsumption: (3915) {G23,W8,D2,L2,V1,M2} R(3760,166) { ! coll( X, skol27,
% 22.96/23.37 skol20 ), coll( skol22, X, X ) }.
% 22.96/23.37 parent0: (55111) {G2,W8,D2,L2,V1,M2} { coll( skol22, X, X ), ! coll( X,
% 22.96/23.37 skol27, skol20 ) }.
% 22.96/23.37 substitution0:
% 22.96/23.37 X := X
% 22.96/23.37 end
% 22.96/23.37 permutation0:
% 22.96/23.37 0 ==> 1
% 22.96/23.37 1 ==> 0
% 22.96/23.37 end
% 22.96/23.37
% 22.96/23.37 resolution: (55112) {G1,W8,D2,L2,V3,M2} { coll( X, X, Y ), ! alpha1( Y, T
% 22.96/23.37 , X ) }.
% 22.96/23.37 parent0[1]: (475) {G10,W8,D2,L2,V3,M2} R(471,400) { coll( X, X, Y ), ! coll
% 22.96/23.37 ( Z, X, Y ) }.
% 22.96/23.37 parent1[1]: (97) {G0,W11,D3,L2,V4,M2} I { ! alpha1( X, Y, Z ), coll( skol11
% 22.96/23.37 ( X, T, Z ), Z, X ) }.
% 22.96/23.37 substitution0:
% 22.96/23.37 X := X
% 22.96/23.37 Y := Y
% 22.96/23.37 Z := skol11( Y, Z, X )
% 22.96/23.37 end
% 22.96/23.37 substitution1:
% 22.96/23.37 X := Y
% 22.96/23.37 Y := T
% 22.96/23.37 Z := X
% 22.96/23.37 T := Z
% 22.96/23.37 end
% 22.96/23.37
% 22.96/23.37 subsumption: (4237) {G11,W8,D2,L2,V3,M2} R(97,475) { ! alpha1( X, Y, Z ),
% 22.96/23.37 coll( Z, Z, X ) }.
% 22.96/23.37 parent0: (55112) {G1,W8,D2,L2,V3,M2} { coll( X, X, Y ), ! alpha1( Y, T, X
% 22.96/23.37 ) }.
% 22.96/23.37 substitution0:
% 22.96/23.37 X := Z
% 22.96/23.37 Y := X
% 22.96/23.37 Z := T
% 22.96/23.37 T := Y
% 22.96/23.37 end
% 22.96/23.37 permutation0:
% 22.96/23.37 0 ==> 1
% 22.96/23.37 1 ==> 0
% 22.96/23.37 end
% 22.96/23.37
% 22.96/23.37 resolution: (55113) {G1,W7,D3,L1,V0,M1} { perp( skol12( skol20, skol26 ),
% 22.96/23.37 skol20, skol20, skol26 ) }.
% 22.96/23.37 parent0[0]: (100) {G0,W12,D3,L2,V4,M2} I { ! circle( Y, X, Z, T ), perp(
% 22.96/23.37 skol12( X, Y ), X, X, Y ) }.
% 22.96/23.37 parent1[0]: (116) {G0,W5,D2,L1,V0,M1} I { circle( skol26, skol20, skol22,
% 22.96/23.37 skol25 ) }.
% 22.96/23.37 substitution0:
% 22.96/23.37 X := skol20
% 22.96/23.37 Y := skol26
% 22.96/23.37 Z := skol22
% 22.96/23.37 T := skol25
% 22.96/23.37 end
% 22.96/23.37 substitution1:
% 22.96/23.37 end
% 22.96/23.37
% 22.96/23.37 subsumption: (4743) {G1,W7,D3,L1,V0,M1} R(100,116) { perp( skol12( skol20,
% 22.96/23.37 skol26 ), skol20, skol20, skol26 ) }.
% 22.96/23.37 parent0: (55113) {G1,W7,D3,L1,V0,M1} { perp( skol12( skol20, skol26 ),
% 22.96/23.37 skol20, skol20, skol26 ) }.
% 22.96/23.37 substitution0:
% 22.96/23.37 end
% 22.96/23.37 permutation0:
% 22.96/23.37 0 ==> 0
% 22.96/23.37 end
% 22.96/23.37
% 22.96/23.37 resolution: (55114) {G1,W7,D3,L1,V0,M1} { perp( skol12( skol25, skol26 ),
% 22.96/23.37 skol25, skol25, skol26 ) }.
% 22.96/23.37 parent0[0]: (100) {G0,W12,D3,L2,V4,M2} I { ! circle( Y, X, Z, T ), perp(
% 22.96/23.37 skol12( X, Y ), X, X, Y ) }.
% 22.96/23.37 parent1[0]: (120) {G0,W5,D2,L1,V0,M1} I { circle( skol26, skol25, skol24,
% 22.96/23.37 skol29 ) }.
% 22.96/23.37 substitution0:
% 22.96/23.37 X := skol25
% 22.96/23.37 Y := skol26
% 22.96/23.37 Z := skol24
% 22.96/23.37 T := skol29
% 22.96/23.37 end
% 22.96/23.37 substitution1:
% 22.96/23.37 end
% 22.96/23.37
% 22.96/23.37 subsumption: (4744) {G1,W7,D3,L1,V0,M1} R(100,120) { perp( skol12( skol25,
% 22.96/23.37 skol26 ), skol25, skol25, skol26 ) }.
% 22.96/23.37 parent0: (55114) {G1,W7,D3,L1,V0,M1} { perp( skol12( skol25, skol26 ),
% 22.96/23.37 skol25, skol25, skol26 ) }.
% 22.96/23.37 substitution0:
% 22.96/23.37 end
% 22.96/23.37 permutation0:
% 22.96/23.37 0 ==> 0
% 22.96/23.37 end
% 22.96/23.37
% 22.96/23.37 resolution: (55115) {G1,W7,D3,L1,V0,M1} { perp( skol20, skol26, skol12(
% 22.96/23.37 skol20, skol26 ), skol20 ) }.
% 22.96/23.37 parent0[0]: (7) {G0,W10,D2,L2,V4,M2} I { ! perp( X, Y, Z, T ), perp( Z, T,
% 22.96/23.37 X, Y ) }.
% 22.96/23.37 parent1[0]: (4743) {G1,W7,D3,L1,V0,M1} R(100,116) { perp( skol12( skol20,
% 22.96/23.37 skol26 ), skol20, skol20, skol26 ) }.
% 22.96/23.37 substitution0:
% 22.96/23.37 X := skol12( skol20, skol26 )
% 22.96/23.37 Y := skol20
% 22.96/23.37 Z := skol20
% 22.96/23.37 T := skol26
% 22.96/23.37 end
% 22.96/23.37 substitution1:
% 22.96/23.37 end
% 22.96/23.37
% 22.96/23.37 subsumption: (4757) {G2,W7,D3,L1,V0,M1} R(4743,7) { perp( skol20, skol26,
% 22.96/23.37 skol12( skol20, skol26 ), skol20 ) }.
% 22.96/23.37 parent0: (55115) {G1,W7,D3,L1,V0,M1} { perp( skol20, skol26, skol12(
% 22.96/23.37 skol20, skol26 ), skol20 ) }.
% 22.96/23.37 substitution0:
% 22.96/23.37 end
% 22.96/23.37 permutation0:
% 22.96/23.37 0 ==> 0
% 22.96/23.37 end
% 22.96/23.37
% 22.96/23.37 resolution: (55116) {G1,W7,D3,L1,V0,M1} { perp( skol20, skol26, skol20,
% 22.96/23.37 skol12( skol20, skol26 ) ) }.
% 22.96/23.37 parent0[0]: (6) {G0,W10,D2,L2,V4,M2} I { ! perp( X, Y, Z, T ), perp( X, Y,
% 22.96/23.37 T, Z ) }.
% 22.96/23.37 parent1[0]: (4757) {G2,W7,D3,L1,V0,M1} R(4743,7) { perp( skol20, skol26,
% 22.96/23.37 skol12( skol20, skol26 ), skol20 ) }.
% 22.96/23.37 substitution0:
% 22.96/23.37 X := skol20
% 22.96/23.37 Y := skol26
% 22.96/23.37 Z := skol12( skol20, skol26 )
% 22.96/23.37 T := skol20
% 22.96/23.37 end
% 22.96/23.37 substitution1:
% 22.96/23.37 end
% 22.96/23.37
% 22.96/23.37 subsumption: (4768) {G3,W7,D3,L1,V0,M1} R(4757,6) { perp( skol20, skol26,
% 22.96/23.37 skol20, skol12( skol20, skol26 ) ) }.
% 22.96/23.37 parent0: (55116) {G1,W7,D3,L1,V0,M1} { perp( skol20, skol26, skol20,
% 22.96/23.37 skol12( skol20, skol26 ) ) }.
% 22.96/23.37 substitution0:
% 22.96/23.37 end
% 22.96/23.37 permutation0:
% 22.96/23.37 0 ==> 0
% 22.96/23.37 end
% 22.96/23.37
% 22.96/23.37 resolution: (55117) {G1,W7,D3,L1,V0,M1} { perp( skol20, skol12( skol20,
% 22.96/23.37 skol26 ), skol20, skol26 ) }.
% 22.96/23.37 parent0[0]: (7) {G0,W10,D2,L2,V4,M2} I { ! perp( X, Y, Z, T ), perp( Z, T,
% 22.96/23.37 X, Y ) }.
% 22.96/23.37 parent1[0]: (4768) {G3,W7,D3,L1,V0,M1} R(4757,6) { perp( skol20, skol26,
% 22.96/23.37 skol20, skol12( skol20, skol26 ) ) }.
% 22.96/23.37 substitution0:
% 22.96/23.37 X := skol20
% 22.96/23.37 Y := skol26
% 22.96/23.37 Z := skol20
% 22.96/23.37 T := skol12( skol20, skol26 )
% 22.96/23.37 end
% 22.96/23.37 substitution1:
% 22.96/23.37 end
% 22.96/23.37
% 22.96/23.37 subsumption: (4778) {G4,W7,D3,L1,V0,M1} R(4768,7) { perp( skol20, skol12(
% 22.96/23.37 skol20, skol26 ), skol20, skol26 ) }.
% 22.96/23.37 parent0: (55117) {G1,W7,D3,L1,V0,M1} { perp( skol20, skol12( skol20,
% 22.96/23.37 skol26 ), skol20, skol26 ) }.
% 22.96/23.37 substitution0:
% 22.96/23.37 end
% 22.96/23.37 permutation0:
% 22.96/23.37 0 ==> 0
% 22.96/23.37 end
% 22.96/23.37
% 22.96/23.37 resolution: (55118) {G1,W11,D3,L2,V0,M2} { ! perp( skol20, skol12( skol20
% 22.96/23.37 , skol26 ), skol20, skol26 ), alpha1( skol20, skol20, skol26 ) }.
% 22.96/23.37 parent0[0]: (96) {G0,W14,D2,L3,V4,M3} I { ! perp( X, T, Y, Z ), ! perp( Y,
% 22.96/23.37 T, X, Z ), alpha1( X, Y, Z ) }.
% 22.96/23.37 parent1[0]: (4778) {G4,W7,D3,L1,V0,M1} R(4768,7) { perp( skol20, skol12(
% 22.96/23.37 skol20, skol26 ), skol20, skol26 ) }.
% 22.96/23.37 substitution0:
% 22.96/23.37 X := skol20
% 22.96/23.37 Y := skol20
% 22.96/23.37 Z := skol26
% 22.96/23.37 T := skol12( skol20, skol26 )
% 22.96/23.37 end
% 22.96/23.37 substitution1:
% 22.96/23.37 end
% 22.96/23.37
% 22.96/23.37 resolution: (55119) {G2,W4,D2,L1,V0,M1} { alpha1( skol20, skol20, skol26 )
% 22.96/23.37 }.
% 22.96/23.37 parent0[0]: (55118) {G1,W11,D3,L2,V0,M2} { ! perp( skol20, skol12( skol20
% 22.96/23.37 , skol26 ), skol20, skol26 ), alpha1( skol20, skol20, skol26 ) }.
% 22.96/23.37 parent1[0]: (4778) {G4,W7,D3,L1,V0,M1} R(4768,7) { perp( skol20, skol12(
% 22.96/23.37 skol20, skol26 ), skol20, skol26 ) }.
% 22.96/23.37 substitution0:
% 22.96/23.37 end
% 22.96/23.37 substitution1:
% 22.96/23.37 end
% 22.96/23.37
% 22.96/23.37 subsumption: (4919) {G5,W4,D2,L1,V0,M1} R(4778,96);r(4778) { alpha1( skol20
% 22.96/23.37 , skol20, skol26 ) }.
% 22.96/23.37 parent0: (55119) {G2,W4,D2,L1,V0,M1} { alpha1( skol20, skol20, skol26 )
% 22.96/23.37 }.
% 22.96/23.37 substitution0:
% 22.96/23.37 end
% 22.96/23.37 permutation0:
% 22.96/23.37 0 ==> 0
% 22.96/23.37 end
% 22.96/23.37
% 22.96/23.37 resolution: (55120) {G6,W4,D2,L1,V0,M1} { coll( skol26, skol26, skol20 )
% 22.96/23.37 }.
% 22.96/23.37 parent0[0]: (4237) {G11,W8,D2,L2,V3,M2} R(97,475) { ! alpha1( X, Y, Z ),
% 22.96/23.37 coll( Z, Z, X ) }.
% 22.96/23.37 parent1[0]: (4919) {G5,W4,D2,L1,V0,M1} R(4778,96);r(4778) { alpha1( skol20
% 22.96/23.37 , skol20, skol26 ) }.
% 22.96/23.37 substitution0:
% 22.96/23.37 X := skol20
% 22.96/23.37 Y := skol20
% 22.96/23.37 Z := skol26
% 22.96/23.37 end
% 22.96/23.37 substitution1:
% 22.96/23.37 end
% 22.96/23.37
% 22.96/23.37 subsumption: (5073) {G12,W4,D2,L1,V0,M1} R(4919,4237) { coll( skol26,
% 22.96/23.37 skol26, skol20 ) }.
% 22.96/23.37 parent0: (55120) {G6,W4,D2,L1,V0,M1} { coll( skol26, skol26, skol20 ) }.
% 22.96/23.37 substitution0:
% 22.96/23.37 end
% 22.96/23.37 permutation0:
% 22.96/23.37 0 ==> 0
% 22.96/23.37 end
% 22.96/23.37
% 22.96/23.37 resolution: (55121) {G1,W7,D3,L1,V0,M1} { perp( skol25, skol26, skol12(
% 22.96/23.37 skol25, skol26 ), skol25 ) }.
% 22.96/23.37 parent0[0]: (7) {G0,W10,D2,L2,V4,M2} I { ! perp( X, Y, Z, T ), perp( Z, T,
% 22.96/23.37 X, Y ) }.
% 22.96/23.37 parent1[0]: (4744) {G1,W7,D3,L1,V0,M1} R(100,120) { perp( skol12( skol25,
% 22.96/23.37 skol26 ), skol25, skol25, skol26 ) }.
% 22.96/23.37 substitution0:
% 22.96/23.37 X := skol12( skol25, skol26 )
% 22.96/23.37 Y := skol25
% 22.96/23.37 Z := skol25
% 22.96/23.37 T := skol26
% 22.96/23.37 end
% 22.96/23.37 substitution1:
% 22.96/23.37 end
% 22.96/23.37
% 22.96/23.37 subsumption: (7086) {G2,W7,D3,L1,V0,M1} R(4744,7) { perp( skol25, skol26,
% 22.96/23.37 skol12( skol25, skol26 ), skol25 ) }.
% 22.96/23.37 parent0: (55121) {G1,W7,D3,L1,V0,M1} { perp( skol25, skol26, skol12(
% 22.96/23.37 skol25, skol26 ), skol25 ) }.
% 22.96/23.37 substitution0:
% 22.96/23.37 end
% 22.96/23.37 permutation0:
% 22.96/23.37 0 ==> 0
% 22.96/23.37 end
% 22.96/23.37
% 22.96/23.37 resolution: (55122) {G1,W7,D3,L1,V0,M1} { perp( skol25, skol26, skol25,
% 22.96/23.37 skol12( skol25, skol26 ) ) }.
% 22.96/23.37 parent0[0]: (6) {G0,W10,D2,L2,V4,M2} I { ! perp( X, Y, Z, T ), perp( X, Y,
% 22.96/23.37 T, Z ) }.
% 22.96/23.37 parent1[0]: (7086) {G2,W7,D3,L1,V0,M1} R(4744,7) { perp( skol25, skol26,
% 22.96/23.37 skol12( skol25, skol26 ), skol25 ) }.
% 22.96/23.37 substitution0:
% 22.96/23.37 X := skol25
% 22.96/23.37 Y := skol26
% 22.96/23.37 Z := skol12( skol25, skol26 )
% 22.96/23.37 T := skol25
% 22.96/23.37 end
% 22.96/23.37 substitution1:
% 22.96/23.37 end
% 22.96/23.37
% 22.96/23.37 subsumption: (7097) {G3,W7,D3,L1,V0,M1} R(7086,6) { perp( skol25, skol26,
% 22.96/23.37 skol25, skol12( skol25, skol26 ) ) }.
% 22.96/23.37 parent0: (55122) {G1,W7,D3,L1,V0,M1} { perp( skol25, skol26, skol25,
% 22.96/23.37 skol12( skol25, skol26 ) ) }.
% 22.96/23.37 substitution0:
% 22.96/23.37 end
% 22.96/23.37 permutation0:
% 22.96/23.37 0 ==> 0
% 22.96/23.37 end
% 22.96/23.37
% 22.96/23.37 resolution: (55123) {G1,W7,D3,L1,V0,M1} { perp( skol25, skol12( skol25,
% 22.96/23.37 skol26 ), skol25, skol26 ) }.
% 22.96/23.37 parent0[0]: (7) {G0,W10,D2,L2,V4,M2} I { ! perp( X, Y, Z, T ), perp( Z, T,
% 22.96/23.37 X, Y ) }.
% 22.96/23.37 parent1[0]: (7097) {G3,W7,D3,L1,V0,M1} R(7086,6) { perp( skol25, skol26,
% 22.96/23.37 skol25, skol12( skol25, skol26 ) ) }.
% 22.96/23.37 substitution0:
% 22.96/23.37 X := skol25
% 22.96/23.37 Y := skol26
% 22.96/23.37 Z := skol25
% 22.96/23.37 T := skol12( skol25, skol26 )
% 22.96/23.37 end
% 22.96/23.37 substitution1:
% 22.96/23.37 end
% 22.96/23.37
% 22.96/23.37 subsumption: (7107) {G4,W7,D3,L1,V0,M1} R(7097,7) { perp( skol25, skol12(
% 22.96/23.37 skol25, skol26 ), skol25, skol26 ) }.
% 22.96/23.37 parent0: (55123) {G1,W7,D3,L1,V0,M1} { perp( skol25, skol12( skol25,
% 22.96/23.37 skol26 ), skol25, skol26 ) }.
% 22.96/23.37 substitution0:
% 22.96/23.37 end
% 22.96/23.37 permutation0:
% 22.96/23.37 0 ==> 0
% 22.96/23.37 end
% 22.96/23.37
% 22.96/23.37 resolution: (55124) {G1,W11,D3,L2,V0,M2} { ! perp( skol25, skol12( skol25
% 22.96/23.37 , skol26 ), skol25, skol26 ), alpha1( skol25, skol25, skol26 ) }.
% 22.96/23.37 parent0[0]: (96) {G0,W14,D2,L3,V4,M3} I { ! perp( X, T, Y, Z ), ! perp( Y,
% 22.96/23.37 T, X, Z ), alpha1( X, Y, Z ) }.
% 22.96/23.37 parent1[0]: (7107) {G4,W7,D3,L1,V0,M1} R(7097,7) { perp( skol25, skol12(
% 22.96/23.37 skol25, skol26 ), skol25, skol26 ) }.
% 22.96/23.37 substitution0:
% 22.96/23.37 X := skol25
% 22.96/23.37 Y := skol25
% 22.96/23.37 Z := skol26
% 22.96/23.37 T := skol12( skol25, skol26 )
% 22.96/23.37 end
% 22.96/23.37 substitution1:
% 22.96/23.37 end
% 22.96/23.37
% 22.96/23.37 resolution: (55125) {G2,W4,D2,L1,V0,M1} { alpha1( skol25, skol25, skol26 )
% 22.96/23.37 }.
% 22.96/23.37 parent0[0]: (55124) {G1,W11,D3,L2,V0,M2} { ! perp( skol25, skol12( skol25
% 22.96/23.37 , skol26 ), skol25, skol26 ), alpha1( skol25, skol25, skol26 ) }.
% 22.96/23.37 parent1[0]: (7107) {G4,W7,D3,L1,V0,M1} R(7097,7) { perp( skol25, skol12(
% 22.96/23.37 skol25, skol26 ), skol25, skol26 ) }.
% 22.96/23.37 substitution0:
% 22.96/23.37 end
% 22.96/23.37 substitution1:
% 22.96/23.37 end
% 22.96/23.37
% 22.96/23.37 subsumption: (7138) {G5,W4,D2,L1,V0,M1} R(7107,96);r(7107) { alpha1( skol25
% 22.96/23.37 , skol25, skol26 ) }.
% 22.96/23.37 parent0: (55125) {G2,W4,D2,L1,V0,M1} { alpha1( skol25, skol25, skol26 )
% 22.96/23.37 }.
% 22.96/23.37 substitution0:
% 22.96/23.37 end
% 22.96/23.37 permutation0:
% 22.96/23.37 0 ==> 0
% 22.96/23.37 end
% 22.96/23.37
% 22.96/23.37 resolution: (55126) {G6,W4,D2,L1,V0,M1} { coll( skol26, skol26, skol25 )
% 22.96/23.37 }.
% 22.96/23.37 parent0[0]: (4237) {G11,W8,D2,L2,V3,M2} R(97,475) { ! alpha1( X, Y, Z ),
% 22.96/23.37 coll( Z, Z, X ) }.
% 22.96/23.37 parent1[0]: (7138) {G5,W4,D2,L1,V0,M1} R(7107,96);r(7107) { alpha1( skol25
% 22.96/23.37 , skol25, skol26 ) }.
% 22.96/23.37 substitution0:
% 22.96/23.37 X := skol25
% 22.96/23.37 Y := skol25
% 22.96/23.37 Z := skol26
% 22.96/23.37 end
% 22.96/23.37 substitution1:
% 22.96/23.37 end
% 22.96/23.37
% 22.96/23.37 subsumption: (7155) {G12,W4,D2,L1,V0,M1} R(7138,4237) { coll( skol26,
% 22.96/23.37 skol26, skol25 ) }.
% 22.96/23.37 parent0: (55126) {G6,W4,D2,L1,V0,M1} { coll( skol26, skol26, skol25 ) }.
% 22.96/23.37 substitution0:
% 22.96/23.37 end
% 22.96/23.37 permutation0:
% 22.96/23.37 0 ==> 0
% 22.96/23.37 end
% 22.96/23.37
% 22.96/23.37 resolution: (55127) {G1,W8,D2,L2,V1,M2} { ! coll( skol26, skol26, X ),
% 22.96/23.37 coll( skol25, X, skol26 ) }.
% 22.96/23.37 parent0[0]: (2) {G0,W12,D2,L3,V4,M3} I { ! coll( X, T, Y ), ! coll( X, T, Z
% 22.96/23.37 ), coll( Y, Z, X ) }.
% 22.96/23.37 parent1[0]: (7155) {G12,W4,D2,L1,V0,M1} R(7138,4237) { coll( skol26, skol26
% 22.96/23.37 , skol25 ) }.
% 22.96/23.37 substitution0:
% 22.96/23.37 X := skol26
% 22.96/23.37 Y := skol25
% 22.96/23.37 Z := X
% 22.96/23.37 T := skol26
% 22.96/23.37 end
% 22.96/23.37 substitution1:
% 22.96/23.37 end
% 22.96/23.37
% 22.96/23.37 subsumption: (7197) {G13,W8,D2,L2,V1,M2} R(7155,2) { ! coll( skol26, skol26
% 22.96/23.37 , X ), coll( skol25, X, skol26 ) }.
% 22.96/23.37 parent0: (55127) {G1,W8,D2,L2,V1,M2} { ! coll( skol26, skol26, X ), coll(
% 22.96/23.37 skol25, X, skol26 ) }.
% 22.96/23.37 substitution0:
% 22.96/23.37 X := X
% 22.96/23.37 end
% 22.96/23.37 permutation0:
% 22.96/23.37 0 ==> 0
% 22.96/23.37 1 ==> 1
% 22.96/23.37 end
% 22.96/23.37
% 22.96/23.37 resolution: (55129) {G13,W4,D2,L1,V0,M1} { coll( skol25, skol20, skol26 )
% 22.96/23.37 }.
% 22.96/23.37 parent0[0]: (7197) {G13,W8,D2,L2,V1,M2} R(7155,2) { ! coll( skol26, skol26
% 22.96/23.37 , X ), coll( skol25, X, skol26 ) }.
% 22.96/23.37 parent1[0]: (5073) {G12,W4,D2,L1,V0,M1} R(4919,4237) { coll( skol26, skol26
% 22.96/23.37 , skol20 ) }.
% 22.96/23.37 substitution0:
% 22.96/23.37 X := skol20
% 22.96/23.37 end
% 22.96/23.37 substitution1:
% 22.96/23.37 end
% 22.96/23.37
% 22.96/23.37 subsumption: (8306) {G14,W4,D2,L1,V0,M1} R(7197,5073) { coll( skol25,
% 22.96/23.37 skol20, skol26 ) }.
% 22.96/23.37 parent0: (55129) {G13,W4,D2,L1,V0,M1} { coll( skol25, skol20, skol26 ) }.
% 22.96/23.37 substitution0:
% 22.96/23.37 end
% 22.96/23.37 permutation0:
% 22.96/23.37 0 ==> 0
% 22.96/23.37 end
% 22.96/23.37
% 22.96/23.37 resolution: (55130) {G11,W4,D2,L1,V0,M1} { coll( skol20, skol20, skol25 )
% 22.96/23.37 }.
% 22.96/23.37 parent0[1]: (472) {G10,W8,D2,L2,V3,M2} R(471,459) { coll( X, X, Y ), ! coll
% 22.96/23.37 ( Y, X, Z ) }.
% 22.96/23.37 parent1[0]: (8306) {G14,W4,D2,L1,V0,M1} R(7197,5073) { coll( skol25, skol20
% 22.96/23.37 , skol26 ) }.
% 22.96/23.37 substitution0:
% 22.96/23.37 X := skol20
% 22.96/23.37 Y := skol25
% 22.96/23.37 Z := skol26
% 22.96/23.37 end
% 22.96/23.37 substitution1:
% 22.96/23.37 end
% 22.96/23.37
% 22.96/23.37 subsumption: (8386) {G15,W4,D2,L1,V0,M1} R(8306,472) { coll( skol20, skol20
% 22.96/23.37 , skol25 ) }.
% 22.96/23.37 parent0: (55130) {G11,W4,D2,L1,V0,M1} { coll( skol20, skol20, skol25 ) }.
% 22.96/23.37 substitution0:
% 22.96/23.37 end
% 22.96/23.37 permutation0:
% 22.96/23.37 0 ==> 0
% 22.96/23.37 end
% 22.96/23.37
% 22.96/23.37 resolution: (55131) {G10,W4,D2,L1,V0,M1} { coll( skol26, skol20, skol25 )
% 22.96/23.37 }.
% 22.96/23.37 parent0[0]: (471) {G9,W8,D2,L2,V3,M2} F(470) { ! coll( X, Y, Z ), coll( Z,
% 22.96/23.37 Y, X ) }.
% 22.96/23.37 parent1[0]: (8306) {G14,W4,D2,L1,V0,M1} R(7197,5073) { coll( skol25, skol20
% 22.96/23.37 , skol26 ) }.
% 22.96/23.37 substitution0:
% 22.96/23.37 X := skol25
% 22.96/23.37 Y := skol20
% 22.96/23.37 Z := skol26
% 22.96/23.37 end
% 22.96/23.37 substitution1:
% 22.96/23.37 end
% 22.96/23.37
% 22.96/23.37 subsumption: (8387) {G15,W4,D2,L1,V0,M1} R(8306,471) { coll( skol26, skol20
% 22.96/23.37 , skol25 ) }.
% 22.96/23.37 parent0: (55131) {G10,W4,D2,L1,V0,M1} { coll( skol26, skol20, skol25 ) }.
% 22.96/23.37 substitution0:
% 22.96/23.37 end
% 22.96/23.37 permutation0:
% 22.96/23.37 0 ==> 0
% 22.96/23.37 end
% 22.96/23.37
% 22.96/23.37 resolution: (55132) {G2,W12,D2,L3,V2,M3} { coll( skol25, X, skol20 ), !
% 22.96/23.37 coll( X, Y, skol20 ), ! coll( X, Y, skol20 ) }.
% 22.96/23.37 parent0[0]: (174) {G1,W16,D2,L4,V5,M4} R(2,2) { ! coll( X, Y, Z ), coll( Z
% 22.96/23.37 , T, X ), ! coll( T, U, X ), ! coll( T, U, Y ) }.
% 22.96/23.37 parent1[0]: (8386) {G15,W4,D2,L1,V0,M1} R(8306,472) { coll( skol20, skol20
% 22.96/23.37 , skol25 ) }.
% 22.96/23.37 substitution0:
% 22.96/23.37 X := skol20
% 22.96/23.37 Y := skol20
% 22.96/23.37 Z := skol25
% 22.96/23.37 T := X
% 22.96/23.37 U := Y
% 22.96/23.37 end
% 22.96/23.37 substitution1:
% 22.96/23.37 end
% 22.96/23.37
% 22.96/23.37 factor: (55135) {G2,W8,D2,L2,V2,M2} { coll( skol25, X, skol20 ), ! coll( X
% 22.96/23.37 , Y, skol20 ) }.
% 22.96/23.37 parent0[1, 2]: (55132) {G2,W12,D2,L3,V2,M3} { coll( skol25, X, skol20 ), !
% 22.96/23.37 coll( X, Y, skol20 ), ! coll( X, Y, skol20 ) }.
% 22.96/23.37 substitution0:
% 22.96/23.37 X := X
% 22.96/23.37 Y := Y
% 22.96/23.37 end
% 22.96/23.37
% 22.96/23.37 subsumption: (9213) {G16,W8,D2,L2,V2,M2} R(174,8386);f { coll( skol25, X,
% 22.96/23.37 skol20 ), ! coll( X, Y, skol20 ) }.
% 22.96/23.37 parent0: (55135) {G2,W8,D2,L2,V2,M2} { coll( skol25, X, skol20 ), ! coll(
% 22.96/23.37 X, Y, skol20 ) }.
% 22.96/23.37 substitution0:
% 22.96/23.37 X := X
% 22.96/23.37 Y := Y
% 22.96/23.37 end
% 22.96/23.37 permutation0:
% 22.96/23.37 0 ==> 0
% 22.96/23.37 1 ==> 1
% 22.96/23.37 end
% 22.96/23.37
% 22.96/23.37 resolution: (55136) {G17,W8,D2,L2,V0,M2} { coll( skol25, skol22, skol20 )
% 22.96/23.37 , ! coll( skol20, skol27, skol20 ) }.
% 22.96/23.37 parent0[1]: (9213) {G16,W8,D2,L2,V2,M2} R(174,8386);f { coll( skol25, X,
% 22.96/23.37 skol20 ), ! coll( X, Y, skol20 ) }.
% 22.96/23.37 parent1[1]: (3915) {G23,W8,D2,L2,V1,M2} R(3760,166) { ! coll( X, skol27,
% 22.96/23.37 skol20 ), coll( skol22, X, X ) }.
% 22.96/23.37 substitution0:
% 22.96/23.37 X := skol22
% 22.96/23.37 Y := skol20
% 22.96/23.37 end
% 22.96/23.37 substitution1:
% 22.96/23.37 X := skol20
% 22.96/23.37 end
% 22.96/23.37
% 22.96/23.37 resolution: (55137) {G4,W4,D2,L1,V0,M1} { coll( skol25, skol22, skol20 )
% 22.96/23.37 }.
% 22.96/23.37 parent0[1]: (55136) {G17,W8,D2,L2,V0,M2} { coll( skol25, skol22, skol20 )
% 22.96/23.37 , ! coll( skol20, skol27, skol20 ) }.
% 22.96/23.37 parent1[0]: (226) {G3,W4,D2,L1,V0,M1} R(198,160) { coll( skol20, skol27,
% 22.96/23.37 skol20 ) }.
% 22.96/23.37 substitution0:
% 22.96/23.37 end
% 22.96/23.37 substitution1:
% 22.96/23.37 end
% 22.96/23.37
% 22.96/23.37 subsumption: (9647) {G24,W4,D2,L1,V0,M1} R(9213,3915);r(226) { coll( skol25
% 22.96/23.37 , skol22, skol20 ) }.
% 22.96/23.37 parent0: (55137) {G4,W4,D2,L1,V0,M1} { coll( skol25, skol22, skol20 ) }.
% 22.96/23.37 substitution0:
% 22.96/23.37 end
% 22.96/23.37 permutation0:
% 22.96/23.37 0 ==> 0
% 22.96/23.37 end
% 22.96/23.37
% 22.96/23.37 resolution: (55138) {G11,W4,D2,L1,V0,M1} { coll( skol22, skol22, skol25 )
% 22.96/23.37 }.
% 22.96/23.37 parent0[1]: (472) {G10,W8,D2,L2,V3,M2} R(471,459) { coll( X, X, Y ), ! coll
% 22.96/23.37 ( Y, X, Z ) }.
% 22.96/23.37 parent1[0]: (9647) {G24,W4,D2,L1,V0,M1} R(9213,3915);r(226) { coll( skol25
% 22.96/23.37 , skol22, skol20 ) }.
% 22.96/23.37 substitution0:
% 22.96/23.37 X := skol22
% 22.96/23.37 Y := skol25
% 22.96/23.37 Z := skol20
% 22.96/23.37 end
% 22.96/23.37 substitution1:
% 22.96/23.37 end
% 22.96/23.37
% 22.96/23.37 subsumption: (9732) {G25,W4,D2,L1,V0,M1} R(9647,472) { coll( skol22, skol22
% 22.96/23.37 , skol25 ) }.
% 22.96/23.37 parent0: (55138) {G11,W4,D2,L1,V0,M1} { coll( skol22, skol22, skol25 ) }.
% 22.96/23.37 substitution0:
% 22.96/23.37 end
% 22.96/23.37 permutation0:
% 22.96/23.37 0 ==> 0
% 22.96/23.37 end
% 22.96/23.37
% 22.96/23.37 resolution: (55139) {G2,W5,D2,L1,V0,M1} { perp( skol20, skol22, skol22,
% 22.96/23.37 skol25 ) }.
% 22.96/23.37 parent0[0]: (1511) {G1,W9,D2,L2,V0,M2} R(53,116) { ! coll( skol26, skol20,
% 22.96/23.37 skol25 ), perp( skol20, skol22, skol22, skol25 ) }.
% 22.96/23.37 parent1[0]: (8387) {G15,W4,D2,L1,V0,M1} R(8306,471) { coll( skol26, skol20
% 22.96/23.37 , skol25 ) }.
% 22.96/23.37 substitution0:
% 22.96/23.37 end
% 22.96/23.37 substitution1:
% 22.96/23.37 end
% 22.96/23.37
% 22.96/23.37 subsumption: (20015) {G16,W5,D2,L1,V0,M1} S(1511);r(8387) { perp( skol20,
% 22.96/23.37 skol22, skol22, skol25 ) }.
% 22.96/23.37 parent0: (55139) {G2,W5,D2,L1,V0,M1} { perp( skol20, skol22, skol22,
% 22.96/23.37 skol25 ) }.
% 22.96/23.37 substitution0:
% 22.96/23.37 end
% 22.96/23.37 permutation0:
% 22.96/23.37 0 ==> 0
% 22.96/23.37 end
% 22.96/23.37
% 22.96/23.37 resolution: (55140) {G3,W5,D2,L1,V0,M1} { para( skol22, skol25, skol22,
% 22.96/23.37 skol25 ) }.
% 22.96/23.37 parent0[0]: (292) {G2,W10,D2,L2,V4,M2} F(280) { ! perp( X, Y, Z, T ), para
% 22.96/23.37 ( Z, T, Z, T ) }.
% 22.96/23.37 parent1[0]: (20015) {G16,W5,D2,L1,V0,M1} S(1511);r(8387) { perp( skol20,
% 22.96/23.37 skol22, skol22, skol25 ) }.
% 22.96/23.37 substitution0:
% 22.96/23.37 X := skol20
% 22.96/23.37 Y := skol22
% 22.96/23.37 Z := skol22
% 22.96/23.37 T := skol25
% 22.96/23.37 end
% 22.96/23.37 substitution1:
% 22.96/23.37 end
% 22.96/23.37
% 22.96/23.37 subsumption: (20027) {G17,W5,D2,L1,V0,M1} R(20015,292) { para( skol22,
% 22.96/23.37 skol25, skol22, skol25 ) }.
% 22.96/23.37 parent0: (55140) {G3,W5,D2,L1,V0,M1} { para( skol22, skol25, skol22,
% 22.96/23.37 skol25 ) }.
% 22.96/23.37 substitution0:
% 22.96/23.37 end
% 22.96/23.37 permutation0:
% 22.96/23.37 0 ==> 0
% 22.96/23.37 end
% 22.96/23.37
% 22.96/23.37 resolution: (55141) {G2,W9,D2,L1,V2,M1} { eqangle( X, Y, skol22, skol25, X
% 22.96/23.37 , Y, skol22, skol25 ) }.
% 22.96/23.37 parent0[0]: (791) {G1,W14,D2,L2,V6,M2} R(39,18) { ! para( X, Y, Z, T ),
% 22.96/23.37 eqangle( U, W, X, Y, U, W, Z, T ) }.
% 22.96/23.37 parent1[0]: (20027) {G17,W5,D2,L1,V0,M1} R(20015,292) { para( skol22,
% 22.96/23.37 skol25, skol22, skol25 ) }.
% 22.96/23.37 substitution0:
% 22.96/23.37 X := skol22
% 22.96/23.37 Y := skol25
% 22.96/23.37 Z := skol22
% 22.96/23.37 T := skol25
% 22.96/23.37 U := X
% 22.96/23.37 W := Y
% 22.96/23.37 end
% 22.96/23.37 substitution1:
% 22.96/23.37 end
% 22.96/23.37
% 22.96/23.37 subsumption: (43678) {G18,W9,D2,L1,V2,M1} R(791,20027) { eqangle( X, Y,
% 22.96/23.37 skol22, skol25, X, Y, skol22, skol25 ) }.
% 22.96/23.37 parent0: (55141) {G2,W9,D2,L1,V2,M1} { eqangle( X, Y, skol22, skol25, X, Y
% 22.96/23.37 , skol22, skol25 ) }.
% 22.96/23.37 substitution0:
% 22.96/23.37 X := X
% 22.96/23.37 Y := Y
% 22.96/23.37 end
% 22.96/23.37 permutation0:
% 22.96/23.37 0 ==> 0
% 22.96/23.37 end
% 22.96/23.37
% 22.96/23.37 resolution: (55142) {G2,W14,D2,L2,V1,M2} { cyclic( X, skol25, skol22,
% 22.96/23.37 skol22 ), ! eqangle( skol22, X, skol22, skol25, skol22, X, skol22, skol25
% 22.96/23.37 ) }.
% 22.96/23.37 parent0[0]: (867) {G1,W18,D2,L3,V4,M3} R(42,19) { ! coll( X, Y, Z ), cyclic
% 22.96/23.37 ( T, Z, X, Y ), ! eqangle( Y, T, Y, Z, X, T, X, Z ) }.
% 22.96/23.37 parent1[0]: (9732) {G25,W4,D2,L1,V0,M1} R(9647,472) { coll( skol22, skol22
% 22.96/23.37 , skol25 ) }.
% 22.96/23.37 substitution0:
% 22.96/23.37 X := skol22
% 22.96/23.37 Y := skol22
% 22.96/23.37 Z := skol25
% 22.96/23.37 T := X
% 22.96/23.37 end
% 22.96/23.37 substitution1:
% 22.96/23.37 end
% 22.96/23.37
% 22.96/23.37 resolution: (55143) {G3,W5,D2,L1,V1,M1} { cyclic( X, skol25, skol22,
% 22.96/23.37 skol22 ) }.
% 22.96/23.37 parent0[1]: (55142) {G2,W14,D2,L2,V1,M2} { cyclic( X, skol25, skol22,
% 22.96/23.37 skol22 ), ! eqangle( skol22, X, skol22, skol25, skol22, X, skol22, skol25
% 22.96/23.37 ) }.
% 22.96/23.37 parent1[0]: (43678) {G18,W9,D2,L1,V2,M1} R(791,20027) { eqangle( X, Y,
% 22.96/23.37 skol22, skol25, X, Y, skol22, skol25 ) }.
% 22.96/23.37 substitution0:
% 22.96/23.37 X := X
% 22.96/23.37 end
% 22.96/23.37 substitution1:
% 22.96/23.37 X := skol22
% 22.96/23.37 Y := X
% 22.96/23.37 end
% 22.96/23.37
% 22.96/23.37 subsumption: (47955) {G26,W5,D2,L1,V1,M1} R(867,9732);r(43678) { cyclic( X
% 22.96/23.37 , skol25, skol22, skol22 ) }.
% 22.96/23.37 parent0: (55143) {G3,W5,D2,L1,V1,M1} { cyclic( X, skol25, skol22, skol22 )
% 22.96/23.37 }.
% 22.96/23.37 substitution0:
% 22.96/23.37 X := X
% 22.96/23.37 end
% 22.96/23.37 permutation0:
% 22.96/23.37 0 ==> 0
% 22.96/23.37 end
% 22.96/23.37
% 22.96/23.37 resolution: (55144) {G2,W5,D2,L1,V1,M1} { cyclic( skol25, X, skol22,
% 22.96/23.37 skol22 ) }.
% 22.96/23.37 parent0[1]: (363) {G1,W10,D2,L2,V4,M2} R(15,13) { cyclic( X, Y, Z, T ), !
% 22.96/23.37 cyclic( Y, X, T, Z ) }.
% 22.96/23.37 parent1[0]: (47955) {G26,W5,D2,L1,V1,M1} R(867,9732);r(43678) { cyclic( X,
% 22.96/23.37 skol25, skol22, skol22 ) }.
% 22.96/23.37 substitution0:
% 22.96/23.37 X := skol25
% 22.96/23.37 Y := X
% 22.96/23.37 Z := skol22
% 22.96/23.37 T := skol22
% 22.96/23.37 end
% 22.96/23.37 substitution1:
% 22.96/23.37 X := X
% 22.96/23.37 end
% 22.96/23.37
% 22.96/23.37 subsumption: (48048) {G27,W5,D2,L1,V1,M1} R(47955,363) { cyclic( skol25, X
% 22.96/23.37 , skol22, skol22 ) }.
% 22.96/23.37 parent0: (55144) {G2,W5,D2,L1,V1,M1} { cyclic( skol25, X, skol22, skol22 )
% 22.96/23.37 }.
% 22.96/23.37 substitution0:
% 22.96/23.37 X := X
% 22.96/23.37 end
% 22.96/23.37 permutation0:
% 22.96/23.37 0 ==> 0
% 22.96/23.37 end
% 22.96/23.37
% 22.96/23.37 resolution: (55145) {G3,W5,D2,L1,V1,M1} { cyclic( skol22, X, skol22,
% 22.96/23.37 skol22 ) }.
% 22.96/23.37 parent0[0]: (389) {G2,W10,D2,L2,V4,M2} F(380) { ! cyclic( X, Y, Z, T ),
% 22.96/23.37 cyclic( Z, Y, T, T ) }.
% 22.96/23.37 parent1[0]: (48048) {G27,W5,D2,L1,V1,M1} R(47955,363) { cyclic( skol25, X,
% 22.96/23.37 skol22, skol22 ) }.
% 22.96/23.37 substitution0:
% 22.96/23.37 X := skol25
% 22.96/23.37 Y := X
% 22.96/23.37 Z := skol22
% 22.96/23.37 T := skol22
% 22.96/23.37 end
% 22.96/23.37 substitution1:
% 22.96/23.37 X := X
% 22.96/23.37 end
% 22.96/23.37
% 22.96/23.37 subsumption: (48060) {G28,W5,D2,L1,V1,M1} R(48048,389) { cyclic( skol22, X
% 22.96/23.37 , skol22, skol22 ) }.
% 22.96/23.37 parent0: (55145) {G3,W5,D2,L1,V1,M1} { cyclic( skol22, X, skol22, skol22 )
% 22.96/23.37 }.
% 22.96/23.37 substitution0:
% 22.96/23.37 X := X
% 22.96/23.37 end
% 22.96/23.37 permutation0:
% 22.96/23.37 0 ==> 0
% 22.96/23.37 end
% 22.96/23.37
% 22.96/23.37 resolution: (55146) {G2,W5,D2,L1,V1,M1} { cyclic( skol22, skol22, X,
% 22.96/23.37 skol22 ) }.
% 22.96/23.37 parent0[1]: (361) {G1,W10,D2,L2,V4,M2} R(15,14) { cyclic( X, Y, Z, T ), !
% 22.96/23.37 cyclic( Y, Z, X, T ) }.
% 22.96/23.37 parent1[0]: (48060) {G28,W5,D2,L1,V1,M1} R(48048,389) { cyclic( skol22, X,
% 22.96/23.37 skol22, skol22 ) }.
% 22.96/23.37 substitution0:
% 22.96/23.37 X := skol22
% 22.96/23.37 Y := skol22
% 22.96/23.37 Z := X
% 22.96/23.37 T := skol22
% 22.96/23.37 end
% 22.96/23.37 substitution1:
% 22.96/23.37 X := X
% 22.96/23.37 end
% 22.96/23.37
% 22.96/23.37 subsumption: (48082) {G29,W5,D2,L1,V1,M1} R(48060,361) { cyclic( skol22,
% 22.96/23.37 skol22, X, skol22 ) }.
% 22.96/23.37 parent0: (55146) {G2,W5,D2,L1,V1,M1} { cyclic( skol22, skol22, X, skol22 )
% 22.96/23.37 }.
% 22.96/23.37 substitution0:
% 22.96/23.37 X := X
% 22.96/23.37 end
% 22.96/23.37 permutation0:
% 22.96/23.37 0 ==> 0
% 22.96/23.37 end
% 22.96/23.37
% 22.96/23.37 resolution: (55147) {G2,W5,D2,L1,V1,M1} { cyclic( skol22, skol22, skol22,
% 22.96/23.37 X ) }.
% 22.96/23.37 parent0[0]: (349) {G1,W10,D2,L2,V4,M2} R(14,13) { ! cyclic( X, Y, Z, T ),
% 22.96/23.37 cyclic( X, Z, T, Y ) }.
% 22.96/23.37 parent1[0]: (48060) {G28,W5,D2,L1,V1,M1} R(48048,389) { cyclic( skol22, X,
% 22.96/23.37 skol22, skol22 ) }.
% 22.96/23.37 substitution0:
% 22.96/23.37 X := skol22
% 22.96/23.37 Y := X
% 22.96/23.37 Z := skol22
% 22.96/23.37 T := skol22
% 22.96/23.37 end
% 22.96/23.37 substitution1:
% 22.96/23.37 X := X
% 22.96/23.37 end
% 22.96/23.37
% 22.96/23.37 subsumption: (48083) {G29,W5,D2,L1,V1,M1} R(48060,349) { cyclic( skol22,
% 22.96/23.37 skol22, skol22, X ) }.
% 22.96/23.37 parent0: (55147) {G2,W5,D2,L1,V1,M1} { cyclic( skol22, skol22, skol22, X )
% 22.96/23.37 }.
% 22.96/23.37 substitution0:
% 22.96/23.37 X := X
% 22.96/23.37 end
% 22.96/23.37 permutation0:
% 22.96/23.37 0 ==> 0
% 22.96/23.37 end
% 22.96/23.37
% 22.96/23.37 resolution: (55149) {G2,W10,D2,L2,V2,M2} { ! cyclic( skol22, skol22,
% 22.96/23.37 skol22, X ), cyclic( skol22, skol22, X, Y ) }.
% 22.96/23.37 parent0[2]: (385) {G1,W15,D2,L3,V5,M3} R(16,13) { ! cyclic( X, Y, Z, T ),
% 22.96/23.37 cyclic( Y, Z, T, U ), ! cyclic( X, Y, U, Z ) }.
% 22.96/23.37 parent1[0]: (48082) {G29,W5,D2,L1,V1,M1} R(48060,361) { cyclic( skol22,
% 22.96/23.37 skol22, X, skol22 ) }.
% 22.96/23.37 substitution0:
% 22.96/23.37 X := skol22
% 22.96/23.37 Y := skol22
% 22.96/23.37 Z := skol22
% 22.96/23.38 T := X
% 22.96/23.38 U := Y
% 22.96/23.38 end
% 22.96/23.38 substitution1:
% 22.96/23.38 X := Y
% 22.96/23.38 end
% 22.96/23.38
% 22.96/23.38 resolution: (55150) {G3,W5,D2,L1,V2,M1} { cyclic( skol22, skol22, X, Y )
% 22.96/23.38 }.
% 22.96/23.38 parent0[0]: (55149) {G2,W10,D2,L2,V2,M2} { ! cyclic( skol22, skol22,
% 22.96/23.38 skol22, X ), cyclic( skol22, skol22, X, Y ) }.
% 22.96/23.38 parent1[0]: (48083) {G29,W5,D2,L1,V1,M1} R(48060,349) { cyclic( skol22,
% 22.96/23.38 skol22, skol22, X ) }.
% 22.96/23.38 substitution0:
% 22.96/23.38 X := X
% 22.96/23.38 Y := Y
% 22.96/23.38 end
% 22.96/23.38 substitution1:
% 22.96/23.38 X := X
% 22.96/23.38 end
% 22.96/23.38
% 22.96/23.38 subsumption: (48088) {G30,W5,D2,L1,V2,M1} R(48082,385);r(48083) { cyclic(
% 22.96/23.38 skol22, skol22, X, Y ) }.
% 22.96/23.38 parent0: (55150) {G3,W5,D2,L1,V2,M1} { cyclic( skol22, skol22, X, Y ) }.
% 22.96/23.38 substitution0:
% 22.96/23.38 X := X
% 22.96/23.38 Y := Y
% 22.96/23.38 end
% 22.96/23.38 permutation0:
% 22.96/23.38 0 ==> 0
% 22.96/23.38 end
% 22.96/23.38
% 22.96/23.38 resolution: (55151) {G2,W10,D2,L2,V3,M2} { cyclic( skol22, X, Y, Z ), !
% 22.96/23.38 cyclic( skol22, skol22, Z, X ) }.
% 22.96/23.38 parent0[0]: (385) {G1,W15,D2,L3,V5,M3} R(16,13) { ! cyclic( X, Y, Z, T ),
% 22.96/23.38 cyclic( Y, Z, T, U ), ! cyclic( X, Y, U, Z ) }.
% 22.96/23.38 parent1[0]: (48088) {G30,W5,D2,L1,V2,M1} R(48082,385);r(48083) { cyclic(
% 22.96/23.38 skol22, skol22, X, Y ) }.
% 22.96/23.38 substitution0:
% 22.96/23.38 X := skol22
% 22.96/23.38 Y := skol22
% 22.96/23.38 Z := X
% 22.96/23.38 T := Y
% 22.96/23.38 U := Z
% 22.96/23.38 end
% 22.96/23.38 substitution1:
% 22.96/23.38 X := X
% 22.96/23.38 Y := Y
% 22.96/23.38 end
% 22.96/23.38
% 22.96/23.38 resolution: (55153) {G3,W5,D2,L1,V3,M1} { cyclic( skol22, X, Y, Z ) }.
% 22.96/23.38 parent0[1]: (55151) {G2,W10,D2,L2,V3,M2} { cyclic( skol22, X, Y, Z ), !
% 22.96/23.38 cyclic( skol22, skol22, Z, X ) }.
% 22.96/23.38 parent1[0]: (48088) {G30,W5,D2,L1,V2,M1} R(48082,385);r(48083) { cyclic(
% 22.96/23.38 skol22, skol22, X, Y ) }.
% 22.96/23.38 substitution0:
% 22.96/23.38 X := X
% 22.96/23.38 Y := Y
% 22.96/23.38 Z := Z
% 22.96/23.38 end
% 22.96/23.38 substitution1:
% 22.96/23.38 X := Z
% 22.96/23.38 Y := X
% 22.96/23.38 end
% 22.96/23.38
% 22.96/23.38 subsumption: (48288) {G31,W5,D2,L1,V3,M1} R(48088,385);r(48088) { cyclic(
% 22.96/23.38 skol22, X, Y, Z ) }.
% 22.96/23.38 parent0: (55153) {G3,W5,D2,L1,V3,M1} { cyclic( skol22, X, Y, Z ) }.
% 22.96/23.38 substitution0:
% 22.96/23.38 X := X
% 22.96/23.38 Y := Y
% 22.96/23.38 Z := Z
% 22.96/23.38 end
% 22.96/23.38 permutation0:
% 22.96/23.38 0 ==> 0
% 22.96/23.38 end
% 22.96/23.38
% 22.96/23.38 resolution: (55154) {G2,W10,D2,L2,V4,M2} { cyclic( X, Y, Z, T ), ! cyclic
% 22.96/23.38 ( skol22, X, T, Y ) }.
% 22.96/23.38 parent0[0]: (385) {G1,W15,D2,L3,V5,M3} R(16,13) { ! cyclic( X, Y, Z, T ),
% 22.96/23.38 cyclic( Y, Z, T, U ), ! cyclic( X, Y, U, Z ) }.
% 22.96/23.38 parent1[0]: (48288) {G31,W5,D2,L1,V3,M1} R(48088,385);r(48088) { cyclic(
% 22.96/23.38 skol22, X, Y, Z ) }.
% 22.96/23.38 substitution0:
% 22.96/23.38 X := skol22
% 22.96/23.38 Y := X
% 22.96/23.38 Z := Y
% 22.96/23.38 T := Z
% 22.96/23.38 U := T
% 22.96/23.38 end
% 22.96/23.38 substitution1:
% 22.96/23.38 X := X
% 22.96/23.38 Y := Y
% 22.96/23.38 Z := Z
% 22.96/23.38 end
% 22.96/23.38
% 22.96/23.38 resolution: (55156) {G3,W5,D2,L1,V4,M1} { cyclic( X, Y, Z, T ) }.
% 22.96/23.38 parent0[1]: (55154) {G2,W10,D2,L2,V4,M2} { cyclic( X, Y, Z, T ), ! cyclic
% 22.96/23.38 ( skol22, X, T, Y ) }.
% 22.96/23.38 parent1[0]: (48288) {G31,W5,D2,L1,V3,M1} R(48088,385);r(48088) { cyclic(
% 22.96/23.38 skol22, X, Y, Z ) }.
% 22.96/23.38 substitution0:
% 22.96/23.38 X := X
% 22.96/23.38 Y := Y
% 22.96/23.38 Z := Z
% 22.96/23.38 T := T
% 22.96/23.38 end
% 22.96/23.38 substitution1:
% 22.96/23.38 X := X
% 22.96/23.38 Y := T
% 22.96/23.38 Z := Y
% 22.96/23.38 end
% 22.96/23.38
% 22.96/23.38 subsumption: (48307) {G32,W5,D2,L1,V4,M1} R(48288,385);r(48288) { cyclic( X
% 22.96/23.38 , Y, Z, T ) }.
% 22.96/23.38 parent0: (55156) {G3,W5,D2,L1,V4,M1} { cyclic( X, Y, Z, T ) }.
% 22.96/23.38 substitution0:
% 22.96/23.38 X := X
% 22.96/23.38 Y := Y
% 22.96/23.38 Z := Z
% 22.96/23.38 T := T
% 22.96/23.38 end
% 22.96/23.38 permutation0:
% 22.96/23.38 0 ==> 0
% 22.96/23.38 end
% 22.96/23.38
% 22.96/23.38 resolution: (55159) {G3,W10,D2,L2,V3,M2} { ! cyclic( X, Y, Z, Y ), cong( X
% 22.96/23.38 , Y, X, Y ) }.
% 22.96/23.38 parent0[0]: (977) {G2,W15,D2,L3,V3,M3} F(945) { ! cyclic( X, Y, Z, X ), !
% 22.96/23.38 cyclic( X, Y, Z, Y ), cong( X, Y, X, Y ) }.
% 22.96/23.38 parent1[0]: (48307) {G32,W5,D2,L1,V4,M1} R(48288,385);r(48288) { cyclic( X
% 22.96/23.38 , Y, Z, T ) }.
% 22.96/23.38 substitution0:
% 22.96/23.38 X := X
% 22.96/23.38 Y := Y
% 22.96/23.38 Z := Z
% 22.96/23.38 end
% 22.96/23.38 substitution1:
% 22.96/23.38 X := X
% 22.96/23.38 Y := Y
% 22.96/23.38 Z := Z
% 22.96/23.38 T := X
% 22.96/23.38 end
% 22.96/23.38
% 22.96/23.38 resolution: (55161) {G4,W5,D2,L1,V2,M1} { cong( X, Y, X, Y ) }.
% 22.96/23.38 parent0[0]: (55159) {G3,W10,D2,L2,V3,M2} { ! cyclic( X, Y, Z, Y ), cong( X
% 22.96/23.38 , Y, X, Y ) }.
% 22.96/23.38 parent1[0]: (48307) {G32,W5,D2,L1,V4,M1} R(48288,385);r(48288) { cyclic( X
% 22.96/23.38 , Y, Z, T ) }.
% 22.96/23.38 substitution0:
% 22.96/23.38 X := X
% 22.96/23.38 Y := Y
% 22.96/23.38 Z := Z
% 22.96/23.38 end
% 22.96/23.38 substitution1:
% 22.96/23.38 X := X
% 22.96/23.38 Y := Y
% 22.96/23.38 Z := Z
% 22.96/23.38 T := Y
% 22.96/23.38 end
% 22.96/23.38
% 22.96/23.38 subsumption: (54269) {G33,W5,D2,L1,V2,M1} S(977);r(48307);r(48307) { cong(
% 22.96/23.38 X, Y, X, Y ) }.
% 22.96/23.38 parent0: (55161) {G4,W5,D2,L1,V2,M1} { cong( X, Y, X, Y ) }.
% 22.96/23.38 substitution0:
% 22.96/23.38 X := X
% 22.96/23.38 Y := Y
% 22.96/23.38 end
% 22.96/23.38 permutation0:
% 22.96/23.38 0 ==> 0
% 22.96/23.38 end
% 22.96/23.38
% 22.96/23.38 resolution: (55162) {G1,W10,D2,L2,V3,M2} { ! cong( X, Z, X, Z ), perp( X,
% 22.96/23.38 X, Y, Z ) }.
% 22.96/23.38 parent0[0]: (56) {G0,W15,D2,L3,V4,M3} I { ! cong( X, Z, Y, Z ), ! cong( X,
% 22.96/23.38 T, Y, T ), perp( X, Y, Z, T ) }.
% 22.96/23.38 parent1[0]: (54269) {G33,W5,D2,L1,V2,M1} S(977);r(48307);r(48307) { cong( X
% 22.96/23.38 , Y, X, Y ) }.
% 22.96/23.38 substitution0:
% 22.96/23.38 X := X
% 22.96/23.38 Y := X
% 22.96/23.38 Z := Y
% 22.96/23.38 T := Z
% 22.96/23.38 end
% 22.96/23.38 substitution1:
% 22.96/23.38 X := X
% 22.96/23.38 Y := Y
% 22.96/23.38 end
% 22.96/23.38
% 22.96/23.38 resolution: (55164) {G2,W5,D2,L1,V3,M1} { perp( X, X, Z, Y ) }.
% 22.96/23.38 parent0[0]: (55162) {G1,W10,D2,L2,V3,M2} { ! cong( X, Z, X, Z ), perp( X,
% 22.96/23.38 X, Y, Z ) }.
% 22.96/23.38 parent1[0]: (54269) {G33,W5,D2,L1,V2,M1} S(977);r(48307);r(48307) { cong( X
% 22.96/23.38 , Y, X, Y ) }.
% 22.96/23.38 substitution0:
% 22.96/23.38 X := X
% 22.96/23.38 Y := Z
% 22.96/23.38 Z := Y
% 22.96/23.38 end
% 22.96/23.38 substitution1:
% 22.96/23.38 X := X
% 22.96/23.38 Y := Y
% 22.96/23.38 end
% 22.96/23.38
% 22.96/23.38 subsumption: (54286) {G34,W5,D2,L1,V3,M1} R(54269,56);r(54269) { perp( X, X
% 22.96/23.38 , Z, Y ) }.
% 22.96/23.38 parent0: (55164) {G2,W5,D2,L1,V3,M1} { perp( X, X, Z, Y ) }.
% 22.96/23.38 substitution0:
% 22.96/23.38 X := X
% 22.96/23.38 Y := Y
% 22.96/23.38 Z := Z
% 22.96/23.38 end
% 22.96/23.38 permutation0:
% 22.96/23.38 0 ==> 0
% 22.96/23.38 end
% 22.96/23.38
% 22.96/23.38 resolution: (55165) {G2,W10,D2,L2,V5,M2} { para( T, U, Y, Z ), ! perp( X,
% 22.96/23.38 X, T, U ) }.
% 22.96/23.38 parent0[0]: (280) {G1,W15,D2,L3,V6,M3} R(8,7) { ! perp( X, Y, Z, T ), para
% 22.96/23.38 ( U, W, Z, T ), ! perp( X, Y, U, W ) }.
% 22.96/23.38 parent1[0]: (54286) {G34,W5,D2,L1,V3,M1} R(54269,56);r(54269) { perp( X, X
% 22.96/23.38 , Z, Y ) }.
% 22.96/23.38 substitution0:
% 22.96/23.38 X := X
% 22.96/23.38 Y := X
% 22.96/23.38 Z := Y
% 22.96/23.38 T := Z
% 22.96/23.38 U := T
% 22.96/23.38 W := U
% 22.96/23.38 end
% 22.96/23.38 substitution1:
% 22.96/23.38 X := X
% 22.96/23.38 Y := Z
% 22.96/23.38 Z := Y
% 22.96/23.38 end
% 22.96/23.38
% 22.96/23.38 resolution: (55167) {G3,W5,D2,L1,V4,M1} { para( X, Y, Z, T ) }.
% 22.96/23.38 parent0[1]: (55165) {G2,W10,D2,L2,V5,M2} { para( T, U, Y, Z ), ! perp( X,
% 22.96/23.38 X, T, U ) }.
% 22.96/23.38 parent1[0]: (54286) {G34,W5,D2,L1,V3,M1} R(54269,56);r(54269) { perp( X, X
% 22.96/23.38 , Z, Y ) }.
% 22.96/23.38 substitution0:
% 22.96/23.38 X := U
% 22.96/23.38 Y := Z
% 22.96/23.38 Z := T
% 22.96/23.38 T := X
% 22.96/23.38 U := Y
% 22.96/23.38 end
% 22.96/23.38 substitution1:
% 22.96/23.38 X := U
% 22.96/23.38 Y := Y
% 22.96/23.38 Z := X
% 22.96/23.38 end
% 22.96/23.38
% 22.96/23.38 subsumption: (54315) {G35,W5,D2,L1,V4,M1} R(54286,280);r(54286) { para( X,
% 22.96/23.38 Y, Z, T ) }.
% 22.96/23.38 parent0: (55167) {G3,W5,D2,L1,V4,M1} { para( X, Y, Z, T ) }.
% 22.96/23.38 substitution0:
% 22.96/23.38 X := X
% 22.96/23.38 Y := Y
% 22.96/23.38 Z := Z
% 22.96/23.38 T := T
% 22.96/23.38 end
% 22.96/23.38 permutation0:
% 22.96/23.38 0 ==> 0
% 22.96/23.38 end
% 22.96/23.38
% 22.96/23.38 resolution: (55168) {G2,W9,D2,L1,V6,M1} { eqangle( X, Y, Z, T, U, W, Z, T
% 22.96/23.38 ) }.
% 22.96/23.38 parent0[1]: (795) {G1,W14,D2,L2,V6,M2} R(39,3) { eqangle( X, Y, Z, T, U, W
% 22.96/23.38 , Z, T ), ! para( X, Y, W, U ) }.
% 22.96/23.38 parent1[0]: (54315) {G35,W5,D2,L1,V4,M1} R(54286,280);r(54286) { para( X, Y
% 22.96/23.38 , Z, T ) }.
% 22.96/23.38 substitution0:
% 22.96/23.38 X := X
% 22.96/23.38 Y := Y
% 22.96/23.38 Z := Z
% 22.96/23.38 T := T
% 22.96/23.38 U := U
% 22.96/23.38 W := W
% 22.96/23.38 end
% 22.96/23.38 substitution1:
% 22.96/23.38 X := X
% 22.96/23.38 Y := Y
% 22.96/23.38 Z := W
% 22.96/23.38 T := U
% 22.96/23.38 end
% 22.96/23.38
% 22.96/23.38 subsumption: (54338) {G36,W9,D2,L1,V6,M1} S(795);r(54315) { eqangle( X, Y,
% 22.96/23.38 Z, T, U, W, Z, T ) }.
% 22.96/23.38 parent0: (55168) {G2,W9,D2,L1,V6,M1} { eqangle( X, Y, Z, T, U, W, Z, T )
% 22.96/23.38 }.
% 22.96/23.38 substitution0:
% 22.96/23.38 X := X
% 22.96/23.38 Y := Y
% 22.96/23.38 Z := Z
% 22.96/23.38 T := T
% 22.96/23.38 U := U
% 22.96/23.38 W := W
% 22.96/23.38 end
% 22.96/23.38 permutation0:
% 22.96/23.38 0 ==> 0
% 22.96/23.38 end
% 22.96/23.38
% 22.96/23.38 resolution: (55169) {G2,W0,D0,L0,V0,M0} { }.
% 22.96/23.38 parent0[0]: (775) {G1,W9,D2,L1,V2,M1} R(38,122) { ! eqangle( skol20, skol22
% 22.96/23.38 , X, Y, skol24, skol23, X, Y ) }.
% 22.96/23.38 parent1[0]: (54338) {G36,W9,D2,L1,V6,M1} S(795);r(54315) { eqangle( X, Y, Z
% 22.96/23.38 , T, U, W, Z, T ) }.
% 22.96/23.38 substitution0:
% 22.96/23.38 X := X
% 22.96/23.38 Y := Y
% 22.96/23.38 end
% 22.96/23.38 substitution1:
% 22.96/23.38 X := skol20
% 22.96/23.38 Y := skol22
% 22.96/23.38 Z := X
% 22.96/23.38 T := Y
% 22.96/23.38 U := skol24
% 22.96/23.38 W := skol23
% 22.96/23.38 end
% 22.96/23.38
% 22.96/23.38 subsumption: (54341) {G37,W0,D0,L0,V0,M0} S(775);r(54338) { }.
% 22.96/23.38 parent0: (55169) {G2,W0,D0,L0,V0,M0} { }.
% 22.96/23.38 substitution0:
% 22.96/23.38 end
% 22.96/23.38 permutation0:
% 22.96/23.38 end
% 22.96/23.38
% 22.96/23.38 Proof check complete!
% 22.96/23.38
% 22.96/23.38 Memory use:
% 22.96/23.38
% 22.96/23.38 space for terms: 767520
% 22.96/23.38 space for clauses: 2251609
% 22.96/23.38
% 22.96/23.38
% 22.96/23.38 clauses generated: 590762
% 22.96/23.38 clauses kept: 54342
% 22.96/23.38 clauses selected: 3069
% 22.96/23.38 clauses deleted: 6732
% 22.96/23.38 clauses inuse deleted: 281
% 22.96/23.38
% 22.96/23.38 subsentry: 33923085
% 22.96/23.38 literals s-matched: 18513876
% 22.96/23.38 literals matched: 10889066
% 22.96/23.38 full subsumption: 2831550
% 22.96/23.38
% 22.96/23.38 checksum: 1528970843
% 22.96/23.38
% 22.96/23.38
% 22.96/23.38 Bliksem ended
%------------------------------------------------------------------------------