TSTP Solution File: GEO582+1 by Bliksem---1.12
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : GEO582+1 : TPTP v8.1.0. Released v7.5.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n020.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 02:54:52 EDT 2022
% Result : Theorem 15.13s 15.54s
% Output : Refutation 15.13s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : GEO582+1 : TPTP v8.1.0. Released v7.5.0.
% 0.12/0.13 % Command : bliksem %s
% 0.12/0.33 % Computer : n020.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % DateTime : Sat Jun 18 03:01:34 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.69/1.14 *** allocated 10000 integers for termspace/termends
% 0.69/1.14 *** allocated 10000 integers for clauses
% 0.69/1.14 *** allocated 10000 integers for justifications
% 0.69/1.14 Bliksem 1.12
% 0.69/1.14
% 0.69/1.14
% 0.69/1.14 Automatic Strategy Selection
% 0.69/1.14
% 0.69/1.14 *** allocated 15000 integers for termspace/termends
% 0.69/1.14
% 0.69/1.14 Clauses:
% 0.69/1.14
% 0.69/1.14 { ! coll( X, Y, Z ), coll( X, Z, Y ) }.
% 0.69/1.14 { ! coll( X, Y, Z ), coll( Y, X, Z ) }.
% 0.69/1.14 { ! coll( X, T, Y ), ! coll( X, T, Z ), coll( Y, Z, X ) }.
% 0.69/1.14 { ! para( X, Y, Z, T ), para( X, Y, T, Z ) }.
% 0.69/1.14 { ! para( X, Y, Z, T ), para( Z, T, X, Y ) }.
% 0.69/1.14 { ! para( X, Y, U, W ), ! para( U, W, Z, T ), para( X, Y, Z, T ) }.
% 0.69/1.14 { ! perp( X, Y, Z, T ), perp( X, Y, T, Z ) }.
% 0.69/1.14 { ! perp( X, Y, Z, T ), perp( Z, T, X, Y ) }.
% 0.69/1.14 { ! perp( X, Y, U, W ), ! perp( U, W, Z, T ), para( X, Y, Z, T ) }.
% 0.69/1.14 { ! para( X, Y, U, W ), ! perp( U, W, Z, T ), perp( X, Y, Z, T ) }.
% 0.69/1.14 { ! midp( Z, Y, X ), midp( Z, X, Y ) }.
% 0.69/1.14 { ! cong( T, X, T, Y ), ! cong( T, X, T, Z ), circle( T, X, Y, Z ) }.
% 0.69/1.14 { ! cong( U, X, U, Y ), ! cong( U, X, U, Z ), ! cong( U, X, U, T ), cyclic
% 0.69/1.14 ( X, Y, Z, T ) }.
% 0.69/1.14 { ! cyclic( X, Y, Z, T ), cyclic( X, Y, T, Z ) }.
% 0.69/1.14 { ! cyclic( X, Y, Z, T ), cyclic( X, Z, Y, T ) }.
% 0.69/1.14 { ! cyclic( X, Y, Z, T ), cyclic( Y, X, Z, T ) }.
% 0.69/1.14 { ! cyclic( U, X, Y, Z ), ! cyclic( U, X, Y, T ), cyclic( X, Y, Z, T ) }.
% 0.69/1.14 { ! eqangle( X, Y, Z, T, U, W, V0, V1 ), eqangle( Y, X, Z, T, U, W, V0, V1
% 0.69/1.14 ) }.
% 0.69/1.14 { ! eqangle( X, Y, Z, T, U, W, V0, V1 ), eqangle( Z, T, X, Y, V0, V1, U, W
% 0.69/1.14 ) }.
% 0.69/1.14 { ! eqangle( X, Y, Z, T, U, W, V0, V1 ), eqangle( U, W, V0, V1, X, Y, Z, T
% 0.69/1.14 ) }.
% 0.69/1.14 { ! eqangle( X, Y, Z, T, U, W, V0, V1 ), eqangle( X, Y, U, W, Z, T, V0, V1
% 0.69/1.14 ) }.
% 0.69/1.14 { ! eqangle( X, Y, Z, T, V2, V3, V4, V5 ), ! eqangle( V2, V3, V4, V5, U, W
% 0.69/1.14 , V0, V1 ), eqangle( X, Y, Z, T, U, W, V0, V1 ) }.
% 0.69/1.14 { ! cong( X, Y, Z, T ), cong( X, Y, T, Z ) }.
% 0.69/1.14 { ! cong( X, Y, Z, T ), cong( Z, T, X, Y ) }.
% 0.69/1.14 { ! cong( X, Y, U, W ), ! cong( U, W, Z, T ), cong( X, Y, Z, T ) }.
% 0.69/1.14 { ! eqratio( X, Y, Z, T, U, W, V0, V1 ), eqratio( Y, X, Z, T, U, W, V0, V1
% 0.69/1.14 ) }.
% 0.69/1.14 { ! eqratio( X, Y, Z, T, U, W, V0, V1 ), eqratio( Z, T, X, Y, V0, V1, U, W
% 0.69/1.14 ) }.
% 0.69/1.14 { ! eqratio( X, Y, Z, T, U, W, V0, V1 ), eqratio( U, W, V0, V1, X, Y, Z, T
% 0.69/1.14 ) }.
% 0.69/1.14 { ! eqratio( X, Y, Z, T, U, W, V0, V1 ), eqratio( X, Y, U, W, Z, T, V0, V1
% 0.69/1.14 ) }.
% 0.69/1.14 { ! eqratio( X, Y, Z, T, V2, V3, V4, V5 ), ! eqratio( V2, V3, V4, V5, U, W
% 0.69/1.14 , V0, V1 ), eqratio( X, Y, Z, T, U, W, V0, V1 ) }.
% 0.69/1.14 { ! simtri( X, Z, Y, T, W, U ), simtri( X, Y, Z, T, U, W ) }.
% 0.69/1.14 { ! simtri( Y, X, Z, U, T, W ), simtri( X, Y, Z, T, U, W ) }.
% 0.69/1.14 { ! simtri( T, U, W, X, Y, Z ), simtri( X, Y, Z, T, U, W ) }.
% 0.69/1.14 { ! simtri( X, Y, Z, V0, V1, V2 ), ! simtri( V0, V1, V2, T, U, W ), simtri
% 0.69/1.14 ( X, Y, Z, T, U, W ) }.
% 0.69/1.14 { ! contri( X, Z, Y, T, W, U ), contri( X, Y, Z, T, U, W ) }.
% 0.69/1.14 { ! contri( Y, X, Z, U, T, W ), contri( X, Y, Z, T, U, W ) }.
% 0.69/1.14 { ! contri( T, U, W, X, Y, Z ), contri( X, Y, Z, T, U, W ) }.
% 0.69/1.14 { ! contri( X, Y, Z, V0, V1, V2 ), ! contri( V0, V1, V2, T, U, W ), contri
% 0.69/1.14 ( X, Y, Z, T, U, W ) }.
% 0.69/1.14 { ! eqangle( X, Y, U, W, Z, T, U, W ), para( X, Y, Z, T ) }.
% 0.69/1.14 { ! para( X, Y, Z, T ), eqangle( X, Y, U, W, Z, T, U, W ) }.
% 0.69/1.14 { ! cyclic( X, Y, Z, T ), eqangle( Z, X, Z, Y, T, X, T, Y ) }.
% 0.69/1.14 { ! eqangle( Z, X, Z, Y, T, X, T, Y ), coll( Z, T, X ), cyclic( X, Y, Z, T
% 0.69/1.14 ) }.
% 0.69/1.14 { ! eqangle( Z, X, Z, Y, T, X, T, Y ), ! coll( Z, T, Y ), cyclic( X, Y, Z,
% 0.69/1.14 T ) }.
% 0.69/1.14 { ! cyclic( X, Y, U, Z ), ! cyclic( X, Y, U, T ), ! cyclic( X, Y, U, W ), !
% 0.69/1.14 eqangle( U, X, U, Y, W, Z, W, T ), cong( X, Y, Z, T ) }.
% 0.69/1.14 { ! midp( Z, U, X ), ! midp( T, U, Y ), para( Z, T, X, Y ) }.
% 0.69/1.14 { ! midp( U, X, T ), ! para( U, Z, T, Y ), ! coll( Z, X, Y ), midp( Z, X, Y
% 0.69/1.14 ) }.
% 0.69/1.14 { ! cong( Z, X, Z, Y ), eqangle( Z, X, X, Y, X, Y, Z, Y ) }.
% 0.69/1.14 { ! eqangle( Z, X, X, Y, X, Y, Z, Y ), coll( Z, X, Y ), cong( Z, X, Z, Y )
% 0.69/1.14 }.
% 0.69/1.14 { ! circle( U, X, Y, Z ), ! perp( U, X, X, T ), eqangle( X, T, X, Y, Z, X,
% 0.69/1.14 Z, Y ) }.
% 0.69/1.14 { ! circle( Y, X, T, U ), ! eqangle( X, Z, X, T, U, X, U, T ), perp( Y, X,
% 0.69/1.14 X, Z ) }.
% 0.69/1.14 { ! circle( T, X, Y, Z ), ! midp( U, Y, Z ), eqangle( X, Y, X, Z, T, Y, T,
% 0.69/1.14 U ) }.
% 0.69/1.14 { ! circle( U, T, X, Y ), ! coll( Z, X, Y ), ! eqangle( T, X, T, Y, U, X, U
% 0.69/1.14 , Z ), midp( Z, X, Y ) }.
% 0.69/1.14 { ! perp( X, Y, Y, T ), ! midp( Z, X, T ), cong( X, Z, Y, Z ) }.
% 0.69/1.14 { ! circle( T, X, Y, Z ), ! coll( T, X, Z ), perp( X, Y, Y, Z ) }.
% 0.69/1.14 { ! cyclic( X, Y, Z, T ), ! para( X, Y, Z, T ), eqangle( X, T, Z, T, Z, T,
% 0.69/1.14 Z, Y ) }.
% 0.69/1.14 { ! midp( T, X, Y ), ! perp( Z, T, X, Y ), cong( Z, X, Z, Y ) }.
% 0.69/1.14 { ! cong( X, Z, Y, Z ), ! cong( X, T, Y, T ), perp( X, Y, Z, T ) }.
% 0.69/1.14 { ! cong( X, Y, T, Y ), ! cong( X, Z, T, Z ), ! cyclic( X, T, Y, Z ), perp
% 0.69/1.14 ( Y, X, X, Z ) }.
% 0.69/1.14 { ! eqangle( X, Y, Y, Z, T, U, U, W ), ! eqangle( X, Z, Y, Z, T, W, U, W )
% 0.69/1.14 , coll( X, Y, Z ), simtri( X, Y, Z, T, U, W ) }.
% 0.69/1.14 { ! simtri( X, Y, Z, T, U, W ), eqratio( X, Y, X, Z, T, U, T, W ) }.
% 0.69/1.14 { ! simtri( X, Y, Z, T, U, W ), eqangle( X, Y, Y, Z, T, U, U, W ) }.
% 0.69/1.14 { ! simtri( X, Y, Z, T, U, W ), ! cong( X, Y, T, U ), contri( X, Y, Z, T, U
% 0.69/1.14 , W ) }.
% 0.69/1.14 { ! contri( X, Y, U, Z, T, W ), cong( X, Y, Z, T ) }.
% 0.69/1.14 { ! midp( U, X, Y ), ! midp( U, Z, T ), para( X, Z, Y, T ) }.
% 0.69/1.14 { ! midp( Z, T, U ), ! para( T, X, U, Y ), ! para( T, Y, U, X ), midp( Z, X
% 0.69/1.14 , Y ) }.
% 0.69/1.14 { ! para( X, Y, Z, T ), ! coll( U, X, Z ), ! coll( U, Y, T ), eqratio( U, X
% 0.69/1.14 , X, Z, U, Y, Y, T ) }.
% 0.69/1.14 { ! para( X, Y, X, Z ), coll( X, Y, Z ) }.
% 0.69/1.14 { ! cong( X, Y, X, Z ), ! coll( X, Y, Z ), midp( X, Y, Z ) }.
% 0.69/1.14 { ! midp( X, Y, Z ), cong( X, Y, X, Z ) }.
% 0.69/1.14 { ! midp( X, Y, Z ), coll( X, Y, Z ) }.
% 0.69/1.14 { ! midp( U, X, Y ), ! midp( W, Z, T ), eqratio( U, X, X, Y, W, Z, Z, T ) }
% 0.69/1.14 .
% 0.69/1.14 { ! eqangle( X, Y, Z, T, Z, T, X, Y ), para( X, Y, Z, T ), perp( X, Y, Z, T
% 0.69/1.14 ) }.
% 0.69/1.14 { ! eqangle( X, Y, Z, T, Z, T, X, Y ), perp( X, Y, Z, T ), para( X, Y, Z, T
% 0.69/1.14 ) }.
% 0.69/1.14 { ! eqangle( X, Y, Z, T, U, W, V0, V1 ), ! para( U, W, V0, V1 ), para( X, Y
% 0.69/1.14 , Z, T ) }.
% 0.69/1.14 { ! eqangle( X, Y, Z, T, U, W, V0, V1 ), ! perp( U, W, V0, V1 ), perp( X, Y
% 0.69/1.14 , Z, T ) }.
% 0.69/1.14 { ! eqratio( X, Y, Z, T, U, W, V0, V1 ), ! cong( U, W, V0, V1 ), cong( X, Y
% 0.69/1.14 , Z, T ) }.
% 0.69/1.14 { ! perp( Z, Y, Y, X ), ! eqangle( T, Z, Y, Z, Y, Z, X, Z ), coll( skol1( U
% 0.69/1.14 , W, Z, T ), Z, T ) }.
% 0.69/1.14 { ! perp( Z, Y, Y, X ), ! eqangle( T, Z, Y, Z, Y, Z, X, Z ), coll( skol1( X
% 0.69/1.14 , Y, Z, T ), X, Y ) }.
% 0.69/1.14 { ! cong( Z, X, Z, Y ), ! eqangle( X, Z, Z, T, Z, T, Z, Y ), coll( skol2( U
% 0.69/1.14 , W, Z, T ), Z, T ) }.
% 0.69/1.14 { ! cong( Z, X, Z, Y ), ! eqangle( X, Z, Z, T, Z, T, Z, Y ), coll( Y, X,
% 0.69/1.14 skol2( X, Y, Z, T ) ) }.
% 0.69/1.14 { ! perp( Z, T, X, Y ), ! eqangle( X, Z, Z, T, Z, T, Z, Y ), coll( skol3( U
% 0.69/1.14 , W, Z, T ), Z, T ) }.
% 0.69/1.14 { ! perp( Z, T, X, Y ), ! eqangle( X, Z, Z, T, Z, T, Z, Y ), coll( Y, X,
% 0.69/1.14 skol3( X, Y, Z, T ) ) }.
% 0.69/1.14 { ! perp( Z, T, X, Y ), ! cong( Z, X, Z, Y ), coll( skol4( U, W, Z, T ), Z
% 0.69/1.14 , T ) }.
% 0.69/1.14 { ! perp( Z, T, X, Y ), ! cong( Z, X, Z, Y ), coll( Y, X, skol4( X, Y, Z, T
% 0.69/1.14 ) ) }.
% 0.69/1.14 { ! eqangle( X, Z, Y, Z, X, T, Y, U ), coll( X, Y, Z ), cyclic( T, Y, Z,
% 0.69/1.14 skol5( W, Y, Z, T ) ) }.
% 0.69/1.14 { ! eqangle( X, Z, Y, Z, X, T, Y, U ), coll( X, Y, Z ), eqangle( X, Z, Y, Z
% 0.69/1.14 , X, skol5( X, Y, Z, T ), Y, skol5( X, Y, Z, T ) ) }.
% 0.69/1.14 { ! midp( U, X, Y ), ! midp( W, Z, T ), midp( skol6( X, V0, V1, T, V2, V3 )
% 0.69/1.14 , X, T ) }.
% 0.69/1.14 { ! midp( U, X, Y ), ! midp( W, Z, T ), para( skol6( X, V0, Z, T, V1, W ),
% 0.69/1.14 W, X, Z ) }.
% 0.69/1.14 { ! midp( U, X, Y ), ! midp( W, Z, T ), para( skol6( X, Y, Z, T, U, W ), U
% 0.69/1.14 , Y, T ) }.
% 0.69/1.14 { ! midp( Z, X, Y ), ! midp( W, T, U ), ! coll( T, X, Y ), ! coll( U, X, Y
% 0.69/1.14 ), midp( skol7( X, V0 ), X, V0 ) }.
% 0.69/1.14 { ! midp( T, X, U ), ! para( X, W, Z, T ), ! para( X, W, U, Y ), ! coll( W
% 0.69/1.14 , Y, Z ), coll( skol8( V0, V1, Z, T ), T, Z ) }.
% 0.69/1.14 { ! midp( T, X, U ), ! para( X, W, Z, T ), ! para( X, W, U, Y ), ! coll( W
% 0.69/1.14 , Y, Z ), coll( skol8( X, Y, Z, T ), X, Y ) }.
% 0.69/1.14 { ! cong( T, Z, T, U ), ! perp( X, Y, Y, T ), cong( T, Z, T, skol9( W, V0,
% 0.69/1.14 Z, T ) ) }.
% 0.69/1.14 { ! cong( T, Z, T, U ), ! perp( X, Y, Y, T ), cong( Y, Z, Y, skol9( W, Y, Z
% 0.69/1.14 , T ) ) }.
% 0.69/1.14 { ! cong( T, Z, T, U ), ! perp( X, Y, Y, T ), para( skol9( X, Y, Z, T ), Z
% 0.69/1.14 , X, Y ) }.
% 0.69/1.14 { ! perp( X, T, Y, Z ), ! perp( Y, T, X, Z ), coll( skol10( U, Y, Z ), Z, Y
% 0.69/1.14 ) }.
% 0.69/1.14 { ! perp( X, T, Y, Z ), ! perp( Y, T, X, Z ), perp( X, skol10( X, Y, Z ), Z
% 0.69/1.14 , Y ) }.
% 0.69/1.14 { ! perp( X, T, Y, Z ), ! perp( Y, T, X, Z ), alpha1( X, Y, Z ) }.
% 0.69/1.14 { ! alpha1( X, Y, Z ), coll( skol11( X, T, Z ), Z, X ) }.
% 0.69/1.14 { ! alpha1( X, Y, Z ), perp( Y, skol11( X, Y, Z ), Z, X ) }.
% 0.69/1.14 { ! coll( T, Z, X ), ! perp( Y, T, Z, X ), alpha1( X, Y, Z ) }.
% 0.69/1.14 { ! circle( Y, X, Z, T ), perp( skol12( X, Y ), X, X, Y ) }.
% 4.50/4.88 { ! circle( W, X, Y, Z ), ! cong( W, X, W, T ), ! cong( U, X, U, Y ), W = U
% 4.50/4.88 , alpha2( X, Z, U, skol13( X, V0, Z, V1, U ) ) }.
% 4.50/4.88 { ! circle( W, X, Y, Z ), ! cong( W, X, W, T ), ! cong( U, X, U, Y ), W = U
% 4.50/4.88 , coll( skol21( V0, Y, T, V1 ), Y, T ) }.
% 4.50/4.88 { ! circle( W, X, Y, Z ), ! cong( W, X, W, T ), ! cong( U, X, U, Y ), W = U
% 4.50/4.88 , cong( skol21( X, Y, T, U ), U, U, X ) }.
% 4.50/4.88 { ! alpha2( X, Y, Z, T ), coll( T, X, Y ) }.
% 4.50/4.88 { ! alpha2( X, Y, Z, T ), cong( T, Z, Z, X ) }.
% 4.50/4.88 { ! coll( T, X, Y ), ! cong( T, Z, Z, X ), alpha2( X, Y, Z, T ) }.
% 4.50/4.88 { ! cyclic( X, Y, Z, T ), ! para( X, Y, Z, T ), ! midp( U, X, Y ), circle(
% 4.50/4.88 skol14( X, Y, Z ), X, Y, Z ) }.
% 4.50/4.88 { ! perp( X, Z, Z, Y ), ! cyclic( X, Y, Z, T ), circle( skol15( X, Y, Z ),
% 4.50/4.88 X, Y, Z ) }.
% 4.50/4.88 { ! perp( X, U, U, T ), ! coll( T, Y, Z ), coll( skol16( W, Y, Z ), Y, Z )
% 4.50/4.88 }.
% 4.50/4.88 { ! perp( X, U, U, T ), ! coll( T, Y, Z ), perp( skol16( X, Y, Z ), X, Y, Z
% 4.50/4.88 ) }.
% 4.50/4.88 { ! perp( X, Z, X, Y ), ! perp( Y, X, Y, T ), ! midp( U, Z, T ), midp(
% 4.50/4.88 skol17( X, Y ), X, Y ) }.
% 4.50/4.88 { ! cong( Y, X, Y, Z ), ! perp( X, Y, Y, Z ), coll( X, Y, skol18( X, Y ) )
% 4.50/4.88 }.
% 4.50/4.88 { ! cong( Y, X, Y, Z ), ! perp( X, Y, Y, Z ), cong( Y, X, Y, skol18( X, Y )
% 4.50/4.88 ) }.
% 4.50/4.88 { ! para( U, W, X, Y ), ! coll( Z, U, X ), ! coll( Z, W, Y ), ! coll( T, U
% 4.50/4.88 , W ), coll( Z, T, skol19( V0, V1, Z, T ) ) }.
% 4.50/4.88 { ! para( U, W, X, Y ), ! coll( Z, U, X ), ! coll( Z, W, Y ), ! coll( T, U
% 4.50/4.88 , W ), coll( skol19( X, Y, Z, T ), X, Y ) }.
% 4.50/4.88 { circle( skol27, skol25, skol20, skol26 ) }.
% 4.50/4.88 { circle( skol27, skol25, skol22, skol28 ) }.
% 4.50/4.88 { perp( skol25, skol20, skol25, skol23 ) }.
% 4.50/4.88 { coll( skol23, skol26, skol22 ) }.
% 4.50/4.88 { perp( skol26, skol22, skol26, skol24 ) }.
% 4.50/4.88 { coll( skol24, skol25, skol20 ) }.
% 4.50/4.88 { ! para( skol22, skol20, skol23, skol24 ) }.
% 4.50/4.88
% 4.50/4.88 percentage equality = 0.008798, percentage horn = 0.926829
% 4.50/4.88 This is a problem with some equality
% 4.50/4.88
% 4.50/4.88
% 4.50/4.88
% 4.50/4.88 Options Used:
% 4.50/4.88
% 4.50/4.88 useres = 1
% 4.50/4.88 useparamod = 1
% 4.50/4.88 useeqrefl = 1
% 4.50/4.88 useeqfact = 1
% 4.50/4.88 usefactor = 1
% 4.50/4.88 usesimpsplitting = 0
% 4.50/4.88 usesimpdemod = 5
% 4.50/4.88 usesimpres = 3
% 4.50/4.88
% 4.50/4.88 resimpinuse = 1000
% 4.50/4.88 resimpclauses = 20000
% 4.50/4.88 substype = eqrewr
% 4.50/4.88 backwardsubs = 1
% 4.50/4.88 selectoldest = 5
% 4.50/4.88
% 4.50/4.88 litorderings [0] = split
% 4.50/4.88 litorderings [1] = extend the termordering, first sorting on arguments
% 4.50/4.88
% 4.50/4.88 termordering = kbo
% 4.50/4.88
% 4.50/4.88 litapriori = 0
% 4.50/4.88 termapriori = 1
% 4.50/4.88 litaposteriori = 0
% 4.50/4.88 termaposteriori = 0
% 4.50/4.88 demodaposteriori = 0
% 4.50/4.88 ordereqreflfact = 0
% 4.50/4.88
% 4.50/4.88 litselect = negord
% 4.50/4.88
% 4.50/4.88 maxweight = 15
% 4.50/4.88 maxdepth = 30000
% 4.50/4.88 maxlength = 115
% 4.50/4.88 maxnrvars = 195
% 4.50/4.88 excuselevel = 1
% 4.50/4.88 increasemaxweight = 1
% 4.50/4.88
% 4.50/4.88 maxselected = 10000000
% 4.50/4.88 maxnrclauses = 10000000
% 4.50/4.88
% 4.50/4.88 showgenerated = 0
% 4.50/4.88 showkept = 0
% 4.50/4.88 showselected = 0
% 4.50/4.88 showdeleted = 0
% 4.50/4.88 showresimp = 1
% 4.50/4.88 showstatus = 2000
% 4.50/4.88
% 4.50/4.88 prologoutput = 0
% 4.50/4.88 nrgoals = 5000000
% 4.50/4.88 totalproof = 1
% 4.50/4.88
% 4.50/4.88 Symbols occurring in the translation:
% 4.50/4.88
% 4.50/4.88 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 4.50/4.88 . [1, 2] (w:1, o:40, a:1, s:1, b:0),
% 4.50/4.88 ! [4, 1] (w:0, o:35, a:1, s:1, b:0),
% 4.50/4.88 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 4.50/4.88 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 4.50/4.88 coll [38, 3] (w:1, o:68, a:1, s:1, b:0),
% 4.50/4.88 para [40, 4] (w:1, o:76, a:1, s:1, b:0),
% 4.50/4.88 perp [43, 4] (w:1, o:77, a:1, s:1, b:0),
% 4.50/4.88 midp [45, 3] (w:1, o:69, a:1, s:1, b:0),
% 4.50/4.88 cong [47, 4] (w:1, o:78, a:1, s:1, b:0),
% 4.50/4.88 circle [48, 4] (w:1, o:79, a:1, s:1, b:0),
% 4.50/4.88 cyclic [49, 4] (w:1, o:80, a:1, s:1, b:0),
% 4.50/4.88 eqangle [54, 8] (w:1, o:95, a:1, s:1, b:0),
% 4.50/4.88 eqratio [57, 8] (w:1, o:96, a:1, s:1, b:0),
% 4.50/4.88 simtri [59, 6] (w:1, o:92, a:1, s:1, b:0),
% 4.50/4.88 contri [60, 6] (w:1, o:93, a:1, s:1, b:0),
% 4.50/4.88 alpha1 [67, 3] (w:1, o:70, a:1, s:1, b:1),
% 4.50/4.88 alpha2 [68, 4] (w:1, o:81, a:1, s:1, b:1),
% 4.50/4.88 skol1 [69, 4] (w:1, o:82, a:1, s:1, b:1),
% 4.50/4.88 skol2 [70, 4] (w:1, o:84, a:1, s:1, b:1),
% 4.50/4.88 skol3 [71, 4] (w:1, o:86, a:1, s:1, b:1),
% 4.50/4.88 skol4 [72, 4] (w:1, o:87, a:1, s:1, b:1),
% 4.50/4.88 skol5 [73, 4] (w:1, o:88, a:1, s:1, b:1),
% 4.50/4.88 skol6 [74, 6] (w:1, o:94, a:1, s:1, b:1),
% 4.50/4.88 skol7 [75, 2] (w:1, o:64, a:1, s:1, b:1),
% 4.50/4.88 skol8 [76, 4] (w:1, o:89, a:1, s:1, b:1),
% 15.13/15.54 skol9 [77, 4] (w:1, o:90, a:1, s:1, b:1),
% 15.13/15.54 skol10 [78, 3] (w:1, o:71, a:1, s:1, b:1),
% 15.13/15.54 skol11 [79, 3] (w:1, o:72, a:1, s:1, b:1),
% 15.13/15.54 skol12 [80, 2] (w:1, o:65, a:1, s:1, b:1),
% 15.13/15.54 skol13 [81, 5] (w:1, o:91, a:1, s:1, b:1),
% 15.13/15.54 skol14 [82, 3] (w:1, o:73, a:1, s:1, b:1),
% 15.13/15.54 skol15 [83, 3] (w:1, o:74, a:1, s:1, b:1),
% 15.13/15.54 skol16 [84, 3] (w:1, o:75, a:1, s:1, b:1),
% 15.13/15.54 skol17 [85, 2] (w:1, o:66, a:1, s:1, b:1),
% 15.13/15.54 skol18 [86, 2] (w:1, o:67, a:1, s:1, b:1),
% 15.13/15.54 skol19 [87, 4] (w:1, o:83, a:1, s:1, b:1),
% 15.13/15.54 skol20 [88, 0] (w:1, o:27, a:1, s:1, b:1),
% 15.13/15.54 skol21 [89, 4] (w:1, o:85, a:1, s:1, b:1),
% 15.13/15.54 skol22 [90, 0] (w:1, o:28, a:1, s:1, b:1),
% 15.13/15.54 skol23 [91, 0] (w:1, o:29, a:1, s:1, b:1),
% 15.13/15.54 skol24 [92, 0] (w:1, o:30, a:1, s:1, b:1),
% 15.13/15.54 skol25 [93, 0] (w:1, o:31, a:1, s:1, b:1),
% 15.13/15.54 skol26 [94, 0] (w:1, o:32, a:1, s:1, b:1),
% 15.13/15.54 skol27 [95, 0] (w:1, o:33, a:1, s:1, b:1),
% 15.13/15.54 skol28 [96, 0] (w:1, o:34, a:1, s:1, b:1).
% 15.13/15.54
% 15.13/15.54
% 15.13/15.54 Starting Search:
% 15.13/15.54
% 15.13/15.54 *** allocated 15000 integers for clauses
% 15.13/15.54 *** allocated 22500 integers for clauses
% 15.13/15.54 *** allocated 33750 integers for clauses
% 15.13/15.54 *** allocated 22500 integers for termspace/termends
% 15.13/15.54 *** allocated 50625 integers for clauses
% 15.13/15.54 *** allocated 75937 integers for clauses
% 15.13/15.54 Resimplifying inuse:
% 15.13/15.54 Done
% 15.13/15.54
% 15.13/15.54 *** allocated 33750 integers for termspace/termends
% 15.13/15.54 *** allocated 113905 integers for clauses
% 15.13/15.54 *** allocated 50625 integers for termspace/termends
% 15.13/15.54
% 15.13/15.54 Intermediate Status:
% 15.13/15.54 Generated: 19400
% 15.13/15.54 Kept: 2056
% 15.13/15.54 Inuse: 336
% 15.13/15.54 Deleted: 1
% 15.13/15.54 Deletedinuse: 1
% 15.13/15.54
% 15.13/15.54 Resimplifying inuse:
% 15.13/15.54 Done
% 15.13/15.54
% 15.13/15.54 *** allocated 170857 integers for clauses
% 15.13/15.54 *** allocated 75937 integers for termspace/termends
% 15.13/15.54 Resimplifying inuse:
% 15.13/15.54 Done
% 15.13/15.54
% 15.13/15.54 *** allocated 256285 integers for clauses
% 15.13/15.54 *** allocated 113905 integers for termspace/termends
% 15.13/15.54
% 15.13/15.54 Intermediate Status:
% 15.13/15.54 Generated: 35994
% 15.13/15.54 Kept: 4119
% 15.13/15.54 Inuse: 454
% 15.13/15.54 Deleted: 18
% 15.13/15.54 Deletedinuse: 1
% 15.13/15.54
% 15.13/15.54 Resimplifying inuse:
% 15.13/15.54 Done
% 15.13/15.54
% 15.13/15.54 Resimplifying inuse:
% 15.13/15.54 Done
% 15.13/15.54
% 15.13/15.54 *** allocated 170857 integers for termspace/termends
% 15.13/15.54 *** allocated 384427 integers for clauses
% 15.13/15.54
% 15.13/15.54 Intermediate Status:
% 15.13/15.54 Generated: 47184
% 15.13/15.54 Kept: 6205
% 15.13/15.54 Inuse: 529
% 15.13/15.54 Deleted: 19
% 15.13/15.54 Deletedinuse: 2
% 15.13/15.54
% 15.13/15.54 Resimplifying inuse:
% 15.13/15.54 Done
% 15.13/15.54
% 15.13/15.54 Resimplifying inuse:
% 15.13/15.54 Done
% 15.13/15.54
% 15.13/15.54 *** allocated 576640 integers for clauses
% 15.13/15.54
% 15.13/15.54 Intermediate Status:
% 15.13/15.54 Generated: 71684
% 15.13/15.54 Kept: 8206
% 15.13/15.54 Inuse: 725
% 15.13/15.54 Deleted: 21
% 15.13/15.54 Deletedinuse: 2
% 15.13/15.54
% 15.13/15.54 Resimplifying inuse:
% 15.13/15.54 Done
% 15.13/15.54
% 15.13/15.54 *** allocated 256285 integers for termspace/termends
% 15.13/15.54 Resimplifying inuse:
% 15.13/15.54 Done
% 15.13/15.54
% 15.13/15.54
% 15.13/15.54 Intermediate Status:
% 15.13/15.54 Generated: 90876
% 15.13/15.54 Kept: 10213
% 15.13/15.54 Inuse: 816
% 15.13/15.54 Deleted: 28
% 15.13/15.54 Deletedinuse: 5
% 15.13/15.54
% 15.13/15.54 Resimplifying inuse:
% 15.13/15.54 Done
% 15.13/15.54
% 15.13/15.54 Resimplifying inuse:
% 15.13/15.54 Done
% 15.13/15.54
% 15.13/15.54
% 15.13/15.54 Intermediate Status:
% 15.13/15.54 Generated: 100170
% 15.13/15.54 Kept: 12218
% 15.13/15.54 Inuse: 866
% 15.13/15.54 Deleted: 36
% 15.13/15.54 Deletedinuse: 9
% 15.13/15.54
% 15.13/15.54 *** allocated 864960 integers for clauses
% 15.13/15.54 Resimplifying inuse:
% 15.13/15.54 Done
% 15.13/15.54
% 15.13/15.54 Resimplifying inuse:
% 15.13/15.54 Done
% 15.13/15.54
% 15.13/15.54
% 15.13/15.54 Intermediate Status:
% 15.13/15.54 Generated: 116252
% 15.13/15.54 Kept: 14232
% 15.13/15.54 Inuse: 1001
% 15.13/15.54 Deleted: 47
% 15.13/15.54 Deletedinuse: 11
% 15.13/15.54
% 15.13/15.54 Resimplifying inuse:
% 15.13/15.54 Done
% 15.13/15.54
% 15.13/15.54 *** allocated 384427 integers for termspace/termends
% 15.13/15.54 Resimplifying inuse:
% 15.13/15.54 Done
% 15.13/15.54
% 15.13/15.54
% 15.13/15.54 Intermediate Status:
% 15.13/15.54 Generated: 129919
% 15.13/15.54 Kept: 16254
% 15.13/15.54 Inuse: 1138
% 15.13/15.54 Deleted: 64
% 15.13/15.54 Deletedinuse: 21
% 15.13/15.54
% 15.13/15.54 Resimplifying inuse:
% 15.13/15.54 Done
% 15.13/15.54
% 15.13/15.54 Resimplifying inuse:
% 15.13/15.54 Done
% 15.13/15.54
% 15.13/15.54
% 15.13/15.54 Intermediate Status:
% 15.13/15.54 Generated: 143534
% 15.13/15.54 Kept: 18287
% 15.13/15.54 Inuse: 1247
% 15.13/15.54 Deleted: 78
% 15.13/15.54 Deletedinuse: 29
% 15.13/15.54
% 15.13/15.54 *** allocated 1297440 integers for clauses
% 15.13/15.54 Resimplifying inuse:
% 15.13/15.54 Done
% 15.13/15.54
% 15.13/15.54 Resimplifying inuse:
% 15.13/15.54 Done
% 15.13/15.54
% 15.13/15.54 Resimplifying clauses:
% 15.13/15.54 Done
% 15.13/15.54
% 15.13/15.54
% 15.13/15.54 Intermediate Status:
% 15.13/15.54 Generated: 157528
% 15.13/15.54 Kept: 20295
% 15.13/15.54 Inuse: 1371
% 15.13/15.54 Deleted: 2417
% 15.13/15.54 Deletedinuse: 41
% 15.13/15.54
% 15.13/15.54 Resimplifying inuse:
% 15.13/15.54 Done
% 15.13/15.54
% 15.13/15.54 Resimplifying inuse:
% 15.13/15.54 Done
% 15.13/15.54
% 15.13/15.54
% 15.13/15.54 Intermediate Status:
% 15.13/15.54 Generated: 176931
% 15.13/15.54 Kept: 22295
% 15.13/15.54 Inuse: 1557
% 15.13/15.54 Deleted: 2418
% 15.13/15.54 Deletedinuse: 41
% 15.13/15.54
% 15.13/15.54 Resimplifying inuse:
% 15.13/15.54 Done
% 15.13/15.54
% 15.13/15.54 Resimplifying inuse:
% 15.13/15.54 Done
% 15.13/15.54
% 15.13/15.54
% 15.13/15.54 Intermediate Status:
% 15.13/15.54 Generated: 196091
% 15.13/15.54 Kept: 24304
% 15.13/15.54 Inuse: 1716
% 15.13/15.54 Deleted: 2418
% 15.13/15.54 Deletedinuse: 41
% 15.13/15.54
% 15.13/15.54 *** allocated 576640 integers for termspace/termends
% 15.13/15.54 Resimplifying inuse:
% 15.13/15.54 Done
% 15.13/15.54
% 15.13/15.54
% 15.13/15.54 Intermediate Status:
% 15.13/15.54 Generated: 203080
% 15.13/15.54 Kept: 26306
% 15.13/15.54 Inuse: 1762
% 15.13/15.54 Deleted: 2418
% 15.13/15.54 Deletedinuse: 41
% 15.13/15.54
% 15.13/15.54
% 15.13/15.54 Intermediate Status:
% 15.13/15.54 Generated: 210214
% 15.13/15.54 Kept: 28347
% 15.13/15.54 Inuse: 1804
% 15.13/15.54 Deleted: 2418
% 15.13/15.54 Deletedinuse: 41
% 15.13/15.54
% 15.13/15.54 Resimplifying inuse:
% 15.13/15.54 Done
% 15.13/15.54
% 15.13/15.54 *** allocated 1946160 integers for clauses
% 15.13/15.54
% 15.13/15.54 Intermediate Status:
% 15.13/15.54 Generated: 218636
% 15.13/15.54 Kept: 30682
% 15.13/15.54 Inuse: 1819
% 15.13/15.54 Deleted: 2418
% 15.13/15.54 Deletedinuse: 41
% 15.13/15.54
% 15.13/15.54 Resimplifying inuse:
% 15.13/15.54 Done
% 15.13/15.54
% 15.13/15.54 Resimplifying inuse:
% 15.13/15.54 Done
% 15.13/15.54
% 15.13/15.54
% 15.13/15.54 Intermediate Status:
% 15.13/15.54 Generated: 235509
% 15.13/15.54 Kept: 32700
% 15.13/15.54 Inuse: 1885
% 15.13/15.54 Deleted: 2424
% 15.13/15.54 Deletedinuse: 47
% 15.13/15.54
% 15.13/15.54 Resimplifying inuse:
% 15.13/15.54 Done
% 15.13/15.54
% 15.13/15.54 Resimplifying inuse:
% 15.13/15.54 Done
% 15.13/15.54
% 15.13/15.54
% 15.13/15.54 Intermediate Status:
% 15.13/15.54 Generated: 247250
% 15.13/15.54 Kept: 35883
% 15.13/15.54 Inuse: 1952
% 15.13/15.54 Deleted: 2433
% 15.13/15.54 Deletedinuse: 54
% 15.13/15.54
% 15.13/15.54 Resimplifying inuse:
% 15.13/15.54 Done
% 15.13/15.54
% 15.13/15.54 Resimplifying inuse:
% 15.13/15.54 Done
% 15.13/15.54
% 15.13/15.54
% 15.13/15.54 Intermediate Status:
% 15.13/15.54 Generated: 259702
% 15.13/15.54 Kept: 38014
% 15.13/15.54 Inuse: 2048
% 15.13/15.54 Deleted: 2437
% 15.13/15.54 Deletedinuse: 54
% 15.13/15.54
% 15.13/15.54 Resimplifying inuse:
% 15.13/15.54 Done
% 15.13/15.54
% 15.13/15.54 Resimplifying inuse:
% 15.13/15.54 Done
% 15.13/15.54
% 15.13/15.54
% 15.13/15.54 Intermediate Status:
% 15.13/15.54 Generated: 266654
% 15.13/15.54 Kept: 40418
% 15.13/15.54 Inuse: 2075
% 15.13/15.54 Deleted: 2440
% 15.13/15.54 Deletedinuse: 54
% 15.13/15.54
% 15.13/15.54 Resimplifying inuse:
% 15.13/15.54 Done
% 15.13/15.54
% 15.13/15.54 Resimplifying clauses:
% 15.13/15.54 Done
% 15.13/15.54
% 15.13/15.54 *** allocated 864960 integers for termspace/termends
% 15.13/15.54 Resimplifying inuse:
% 15.13/15.54 Done
% 15.13/15.54
% 15.13/15.54
% 15.13/15.54 Intermediate Status:
% 15.13/15.54 Generated: 276411
% 15.13/15.54 Kept: 42421
% 15.13/15.54 Inuse: 2148
% 15.13/15.54 Deleted: 4983
% 15.13/15.54 Deletedinuse: 60
% 15.13/15.54
% 15.13/15.54 Resimplifying inuse:
% 15.13/15.54 Done
% 15.13/15.54
% 15.13/15.54 Resimplifying inuse:
% 15.13/15.54 Done
% 15.13/15.54
% 15.13/15.54
% 15.13/15.54 Intermediate Status:
% 15.13/15.54 Generated: 294152
% 15.13/15.54 Kept: 44426
% 15.13/15.54 Inuse: 2319
% 15.13/15.54 Deleted: 4990
% 15.13/15.54 Deletedinuse: 65
% 15.13/15.54
% 15.13/15.54 Resimplifying inuse:
% 15.13/15.54 Done
% 15.13/15.54
% 15.13/15.54 *** allocated 2919240 integers for clauses
% 15.13/15.54 Resimplifying inuse:
% 15.13/15.54 Done
% 15.13/15.54
% 15.13/15.54
% 15.13/15.54 Intermediate Status:
% 15.13/15.54 Generated: 311050
% 15.13/15.54 Kept: 46436
% 15.13/15.54 Inuse: 2487
% 15.13/15.54 Deleted: 4995
% 15.13/15.54 Deletedinuse: 70
% 15.13/15.54
% 15.13/15.54 Resimplifying inuse:
% 15.13/15.54 Done
% 15.13/15.54
% 15.13/15.54 Resimplifying inuse:
% 15.13/15.54 Done
% 15.13/15.54
% 15.13/15.54
% 15.13/15.54 Intermediate Status:
% 15.13/15.54 Generated: 329374
% 15.13/15.54 Kept: 48453
% 15.13/15.54 Inuse: 2635
% 15.13/15.54 Deleted: 5004
% 15.13/15.54 Deletedinuse: 78
% 15.13/15.54
% 15.13/15.54 Resimplifying inuse:
% 15.13/15.54 Done
% 15.13/15.54
% 15.13/15.54 Resimplifying inuse:
% 15.13/15.54 Done
% 15.13/15.54
% 15.13/15.54
% 15.13/15.54 Intermediate Status:
% 15.13/15.54 Generated: 359160
% 15.13/15.54 Kept: 50750
% 15.13/15.54 Inuse: 2736
% 15.13/15.54 Deleted: 5009
% 15.13/15.54 Deletedinuse: 82
% 15.13/15.54
% 15.13/15.54 Resimplifying inuse:
% 15.13/15.54 Done
% 15.13/15.54
% 15.13/15.54 Resimplifying inuse:
% 15.13/15.54 Done
% 15.13/15.54
% 15.13/15.54
% 15.13/15.54 Intermediate Status:
% 15.13/15.54 Generated: 378771
% 15.13/15.54 Kept: 52753
% 15.13/15.54 Inuse: 2902
% 15.13/15.54 Deleted: 5185
% 15.13/15.54 Deletedinuse: 181
% 15.13/15.54
% 15.13/15.54 Resimplifying inuse:
% 15.13/15.54 Done
% 15.13/15.54
% 15.13/15.54 Resimplifying inuse:
% 15.13/15.54 Done
% 15.13/15.54
% 15.13/15.54
% 15.13/15.54 Intermediate Status:
% 15.13/15.54 Generated: 439772
% 15.13/15.54 Kept: 54761
% 15.13/15.54 Inuse: 3050
% 15.13/15.54 Deleted: 5219
% 15.13/15.54 Deletedinuse: 183
% 15.13/15.54
% 15.13/15.54 Resimplifying inuse:
% 15.13/15.54 Done
% 15.13/15.54
% 15.13/15.54 Resimplifying inuse:
% 15.13/15.54 Done
% 15.13/15.54
% 15.13/15.54
% 15.13/15.54 Bliksems!, er is een bewijs:
% 15.13/15.54 % SZS status Theorem
% 15.13/15.54 % SZS output start Refutation
% 15.13/15.54
% 15.13/15.54 (0) {G0,W8,D2,L2,V3,M2} I { ! coll( X, Y, Z ), coll( X, Z, Y ) }.
% 15.13/15.54 (1) {G0,W8,D2,L2,V3,M2} I { ! coll( X, Y, Z ), coll( Y, X, Z ) }.
% 15.13/15.54 (2) {G0,W12,D2,L3,V4,M3} I { ! coll( X, T, Y ), ! coll( X, T, Z ), coll( Y
% 15.13/15.54 , Z, X ) }.
% 15.13/15.54 (4) {G0,W10,D2,L2,V4,M2} I { ! para( X, Y, Z, T ), para( Z, T, X, Y ) }.
% 15.13/15.54 (5) {G0,W15,D2,L3,V6,M3} I { ! para( X, Y, U, W ), ! para( U, W, Z, T ),
% 15.13/15.54 para( X, Y, Z, T ) }.
% 15.13/15.54 (6) {G0,W10,D2,L2,V4,M2} I { ! perp( X, Y, Z, T ), perp( X, Y, T, Z ) }.
% 15.13/15.54 (7) {G0,W10,D2,L2,V4,M2} I { ! perp( X, Y, Z, T ), perp( Z, T, X, Y ) }.
% 15.13/15.54 (8) {G0,W15,D2,L3,V6,M3} I { ! perp( X, Y, U, W ), ! perp( U, W, Z, T ),
% 15.13/15.54 para( X, Y, Z, T ) }.
% 15.13/15.54 (13) {G0,W10,D2,L2,V4,M2} I { ! cyclic( X, Y, Z, T ), cyclic( X, Y, T, Z )
% 15.13/15.54 }.
% 15.13/15.54 (14) {G0,W10,D2,L2,V4,M2} I { ! cyclic( X, Y, Z, T ), cyclic( X, Z, Y, T )
% 15.13/15.54 }.
% 15.13/15.54 (15) {G0,W10,D2,L2,V4,M2} I { ! cyclic( X, Y, Z, T ), cyclic( Y, X, Z, T )
% 15.13/15.54 }.
% 15.13/15.54 (16) {G0,W15,D2,L3,V5,M3} I { ! cyclic( U, X, Y, Z ), ! cyclic( U, X, Y, T
% 15.13/15.54 ), cyclic( X, Y, Z, T ) }.
% 15.13/15.54 (18) {G0,W18,D2,L2,V8,M2} I { ! eqangle( X, Y, Z, T, U, W, V0, V1 ),
% 15.13/15.54 eqangle( Z, T, X, Y, V0, V1, U, W ) }.
% 15.13/15.54 (19) {G0,W18,D2,L2,V8,M2} I { ! eqangle( X, Y, Z, T, U, W, V0, V1 ),
% 15.13/15.54 eqangle( U, W, V0, V1, X, Y, Z, T ) }.
% 15.13/15.54 (39) {G0,W14,D2,L2,V6,M2} I { ! para( X, Y, Z, T ), eqangle( X, Y, U, W, Z
% 15.13/15.54 , T, U, W ) }.
% 15.13/15.54 (40) {G0,W14,D2,L2,V4,M2} I { ! cyclic( X, Y, Z, T ), eqangle( Z, X, Z, Y,
% 15.13/15.54 T, X, T, Y ) }.
% 15.13/15.54 (42) {G0,W18,D2,L3,V4,M3} I { ! eqangle( Z, X, Z, Y, T, X, T, Y ), ! coll(
% 15.13/15.54 Z, T, Y ), cyclic( X, Y, Z, T ) }.
% 15.13/15.54 (43) {G0,W29,D2,L5,V6,M5} I { ! cyclic( X, Y, U, Z ), ! cyclic( X, Y, U, T
% 15.13/15.54 ), ! cyclic( X, Y, U, W ), ! eqangle( U, X, U, Y, W, Z, W, T ), cong( X
% 15.13/15.54 , Y, Z, T ) }.
% 15.13/15.54 (56) {G0,W15,D2,L3,V4,M3} I { ! cong( X, Z, Y, Z ), ! cong( X, T, Y, T ),
% 15.13/15.54 perp( X, Y, Z, T ) }.
% 15.13/15.54 (96) {G0,W14,D2,L3,V4,M3} I { ! perp( X, T, Y, Z ), ! perp( Y, T, X, Z ),
% 15.13/15.54 alpha1( X, Y, Z ) }.
% 15.13/15.54 (97) {G0,W11,D3,L2,V4,M2} I { ! alpha1( X, Y, Z ), coll( skol11( X, T, Z )
% 15.13/15.54 , Z, X ) }.
% 15.13/15.54 (100) {G0,W12,D3,L2,V4,M2} I { ! circle( Y, X, Z, T ), perp( skol12( X, Y )
% 15.13/15.54 , X, X, Y ) }.
% 15.13/15.54 (116) {G0,W5,D2,L1,V0,M1} I { circle( skol27, skol25, skol20, skol26 ) }.
% 15.13/15.54 (122) {G0,W5,D2,L1,V0,M1} I { ! para( skol22, skol20, skol23, skol24 ) }.
% 15.13/15.54 (152) {G1,W9,D2,L2,V3,M2} F(96) { ! perp( X, Y, X, Z ), alpha1( X, X, Z )
% 15.13/15.54 }.
% 15.13/15.54 (189) {G1,W12,D2,L3,V4,M3} R(2,0) { ! coll( X, Y, Z ), ! coll( X, Y, T ),
% 15.13/15.54 coll( Z, X, T ) }.
% 15.13/15.54 (194) {G2,W8,D2,L2,V3,M2} F(189) { ! coll( X, Y, Z ), coll( Z, X, Z ) }.
% 15.13/15.54 (212) {G3,W12,D2,L3,V4,M3} R(194,2) { coll( X, Y, X ), ! coll( X, Z, Y ), !
% 15.13/15.54 coll( X, Z, T ) }.
% 15.13/15.54 (225) {G4,W8,D2,L2,V3,M2} F(212) { coll( X, Y, X ), ! coll( X, Z, Y ) }.
% 15.13/15.54 (233) {G1,W5,D2,L1,V0,M1} R(4,122) { ! para( skol23, skol24, skol22, skol20
% 15.13/15.54 ) }.
% 15.13/15.54 (278) {G1,W15,D2,L3,V6,M3} R(8,7) { ! perp( X, Y, Z, T ), para( U, W, Z, T
% 15.13/15.54 ), ! perp( X, Y, U, W ) }.
% 15.13/15.54 (279) {G1,W15,D2,L3,V6,M3} R(8,7) { ! perp( X, Y, Z, T ), para( X, Y, U, W
% 15.13/15.54 ), ! perp( U, W, Z, T ) }.
% 15.13/15.54 (293) {G2,W10,D2,L2,V4,M2} F(279) { ! perp( X, Y, Z, T ), para( X, Y, X, Y
% 15.13/15.54 ) }.
% 15.13/15.54 (352) {G1,W10,D2,L2,V4,M2} R(14,13) { ! cyclic( X, Y, Z, T ), cyclic( X, Z
% 15.13/15.54 , T, Y ) }.
% 15.13/15.54 (369) {G1,W10,D2,L2,V4,M2} R(15,14) { cyclic( X, Y, Z, T ), ! cyclic( Y, Z
% 15.13/15.54 , X, T ) }.
% 15.13/15.54 (371) {G1,W10,D2,L2,V4,M2} R(15,13) { cyclic( X, Y, Z, T ), ! cyclic( Y, X
% 15.13/15.54 , T, Z ) }.
% 15.13/15.54 (396) {G1,W15,D2,L3,V5,M3} R(16,15) { ! cyclic( X, Y, Z, T ), ! cyclic( X,
% 15.13/15.54 Y, Z, U ), cyclic( Z, Y, T, U ) }.
% 15.13/15.54 (401) {G1,W15,D2,L3,V5,M3} R(16,13) { ! cyclic( X, Y, Z, T ), cyclic( Y, Z
% 15.13/15.54 , T, U ), ! cyclic( X, Y, U, Z ) }.
% 15.13/15.54 (405) {G2,W10,D2,L2,V4,M2} F(396) { ! cyclic( X, Y, Z, T ), cyclic( Z, Y, T
% 15.13/15.54 , T ) }.
% 15.13/15.54 (446) {G2,W10,D2,L2,V2,M2} R(233,5) { ! para( skol23, skol24, X, Y ), !
% 15.13/15.54 para( X, Y, skol22, skol20 ) }.
% 15.13/15.54 (454) {G5,W8,D2,L2,V3,M2} R(225,1) { ! coll( X, Y, Z ), coll( Z, X, X ) }.
% 15.13/15.54 (462) {G6,W8,D2,L2,V3,M2} R(454,1) { coll( X, Y, Y ), ! coll( Z, Y, X ) }.
% 15.13/15.54 (463) {G6,W8,D2,L2,V3,M2} R(454,0) { coll( X, Y, Y ), ! coll( Y, X, Z ) }.
% 15.13/15.54 (464) {G7,W8,D2,L2,V3,M2} R(462,454) { ! coll( X, Y, Z ), coll( Y, Z, Z )
% 15.13/15.54 }.
% 15.13/15.54 (467) {G7,W8,D2,L2,V3,M2} R(463,463) { ! coll( X, Y, Z ), coll( X, Y, Y )
% 15.13/15.54 }.
% 15.13/15.54 (482) {G8,W12,D2,L3,V4,M3} R(467,2) { ! coll( X, Y, Z ), ! coll( X, Y, T )
% 15.13/15.54 , coll( T, Y, X ) }.
% 15.13/15.54 (483) {G9,W8,D2,L2,V3,M2} F(482) { ! coll( X, Y, Z ), coll( Z, Y, X ) }.
% 15.13/15.54 (486) {G10,W8,D2,L2,V3,M2} R(483,464) { coll( X, X, Y ), ! coll( Z, Y, X )
% 15.13/15.54 }.
% 15.13/15.54 (798) {G1,W14,D2,L2,V6,M2} R(39,18) { ! para( X, Y, Z, T ), eqangle( U, W,
% 15.13/15.54 X, Y, U, W, Z, T ) }.
% 15.13/15.54 (849) {G1,W18,D2,L3,V4,M3} R(42,19) { ! coll( X, Y, Z ), cyclic( T, Z, X, Y
% 15.13/15.54 ), ! eqangle( Y, T, Y, Z, X, T, X, Z ) }.
% 15.13/15.54 (939) {G1,W20,D2,L4,V4,M4} R(43,40);f { ! cyclic( X, Y, Z, X ), ! cyclic( X
% 15.13/15.54 , Y, Z, Y ), ! cyclic( X, Y, Z, T ), cong( X, Y, X, Y ) }.
% 15.13/15.54 (971) {G2,W15,D2,L3,V3,M3} F(939) { ! cyclic( X, Y, Z, X ), ! cyclic( X, Y
% 15.13/15.54 , Z, Y ), cong( X, Y, X, Y ) }.
% 15.13/15.54 (4841) {G1,W7,D3,L1,V0,M1} R(100,116) { perp( skol12( skol25, skol27 ),
% 15.13/15.54 skol25, skol25, skol27 ) }.
% 15.13/15.54 (12196) {G2,W7,D3,L1,V0,M1} R(4841,7) { perp( skol25, skol27, skol12(
% 15.13/15.54 skol25, skol27 ), skol25 ) }.
% 15.13/15.54 (12207) {G3,W7,D3,L1,V0,M1} R(12196,6) { perp( skol25, skol27, skol25,
% 15.13/15.54 skol12( skol25, skol27 ) ) }.
% 15.13/15.54 (12217) {G4,W7,D3,L1,V0,M1} R(12207,7) { perp( skol25, skol12( skol25,
% 15.13/15.54 skol27 ), skol25, skol27 ) }.
% 15.13/15.54 (12220) {G5,W4,D2,L1,V0,M1} R(12217,152) { alpha1( skol25, skol25, skol27 )
% 15.13/15.54 }.
% 15.13/15.54 (12291) {G6,W7,D3,L1,V1,M1} R(12220,97) { coll( skol11( skol25, X, skol27 )
% 15.13/15.54 , skol27, skol25 ) }.
% 15.13/15.54 (12315) {G11,W4,D2,L1,V0,M1} R(12291,486) { coll( skol25, skol25, skol27 )
% 15.13/15.54 }.
% 15.13/15.54 (16118) {G4,W5,D2,L1,V0,M1} R(293,12207) { para( skol25, skol27, skol25,
% 15.13/15.54 skol27 ) }.
% 15.13/15.54 (47190) {G5,W9,D2,L1,V2,M1} R(798,16118) { eqangle( X, Y, skol25, skol27, X
% 15.13/15.54 , Y, skol25, skol27 ) }.
% 15.13/15.54 (50321) {G12,W5,D2,L1,V1,M1} R(849,12315);r(47190) { cyclic( X, skol27,
% 15.13/15.54 skol25, skol25 ) }.
% 15.13/15.54 (50397) {G13,W5,D2,L1,V1,M1} R(50321,371) { cyclic( skol27, X, skol25,
% 15.13/15.54 skol25 ) }.
% 15.13/15.54 (50409) {G14,W5,D2,L1,V1,M1} R(50397,405) { cyclic( skol25, X, skol25,
% 15.13/15.54 skol25 ) }.
% 15.13/15.54 (50431) {G15,W5,D2,L1,V1,M1} R(50409,369) { cyclic( skol25, skol25, X,
% 15.13/15.54 skol25 ) }.
% 15.13/15.54 (50432) {G15,W5,D2,L1,V1,M1} R(50409,352) { cyclic( skol25, skol25, skol25
% 15.13/15.54 , X ) }.
% 15.13/15.54 (50437) {G16,W5,D2,L1,V2,M1} R(50431,401);r(50432) { cyclic( skol25, skol25
% 15.13/15.54 , X, Y ) }.
% 15.13/15.54 (50758) {G17,W5,D2,L1,V3,M1} R(50437,401);r(50437) { cyclic( skol25, X, Y,
% 15.13/15.54 Z ) }.
% 15.13/15.54 (50777) {G18,W5,D2,L1,V4,M1} R(50758,401);r(50758) { cyclic( X, Y, Z, T )
% 15.13/15.54 }.
% 15.13/15.54 (56058) {G19,W5,D2,L1,V2,M1} S(971);r(50777);r(50777) { cong( X, Y, X, Y )
% 15.13/15.54 }.
% 15.13/15.54 (56075) {G20,W5,D2,L1,V3,M1} R(56058,56);r(56058) { perp( X, X, Z, Y ) }.
% 15.13/15.54 (56112) {G21,W5,D2,L1,V4,M1} R(56075,278);r(56075) { para( X, Y, Z, T ) }.
% 15.13/15.54 (56294) {G22,W0,D0,L0,V0,M0} R(56112,446);r(56112) { }.
% 15.13/15.54
% 15.13/15.54
% 15.13/15.54 % SZS output end Refutation
% 15.13/15.54 found a proof!
% 15.13/15.54
% 15.13/15.54
% 15.13/15.54 Unprocessed initial clauses:
% 15.13/15.54
% 15.13/15.54 (56296) {G0,W8,D2,L2,V3,M2} { ! coll( X, Y, Z ), coll( X, Z, Y ) }.
% 15.13/15.54 (56297) {G0,W8,D2,L2,V3,M2} { ! coll( X, Y, Z ), coll( Y, X, Z ) }.
% 15.13/15.54 (56298) {G0,W12,D2,L3,V4,M3} { ! coll( X, T, Y ), ! coll( X, T, Z ), coll
% 15.13/15.54 ( Y, Z, X ) }.
% 15.13/15.54 (56299) {G0,W10,D2,L2,V4,M2} { ! para( X, Y, Z, T ), para( X, Y, T, Z )
% 15.13/15.54 }.
% 15.13/15.54 (56300) {G0,W10,D2,L2,V4,M2} { ! para( X, Y, Z, T ), para( Z, T, X, Y )
% 15.13/15.54 }.
% 15.13/15.54 (56301) {G0,W15,D2,L3,V6,M3} { ! para( X, Y, U, W ), ! para( U, W, Z, T )
% 15.13/15.54 , para( X, Y, Z, T ) }.
% 15.13/15.54 (56302) {G0,W10,D2,L2,V4,M2} { ! perp( X, Y, Z, T ), perp( X, Y, T, Z )
% 15.13/15.54 }.
% 15.13/15.54 (56303) {G0,W10,D2,L2,V4,M2} { ! perp( X, Y, Z, T ), perp( Z, T, X, Y )
% 15.13/15.54 }.
% 15.13/15.54 (56304) {G0,W15,D2,L3,V6,M3} { ! perp( X, Y, U, W ), ! perp( U, W, Z, T )
% 15.13/15.54 , para( X, Y, Z, T ) }.
% 15.13/15.54 (56305) {G0,W15,D2,L3,V6,M3} { ! para( X, Y, U, W ), ! perp( U, W, Z, T )
% 15.13/15.54 , perp( X, Y, Z, T ) }.
% 15.13/15.54 (56306) {G0,W8,D2,L2,V3,M2} { ! midp( Z, Y, X ), midp( Z, X, Y ) }.
% 15.13/15.54 (56307) {G0,W15,D2,L3,V4,M3} { ! cong( T, X, T, Y ), ! cong( T, X, T, Z )
% 15.13/15.54 , circle( T, X, Y, Z ) }.
% 15.13/15.54 (56308) {G0,W20,D2,L4,V5,M4} { ! cong( U, X, U, Y ), ! cong( U, X, U, Z )
% 15.13/15.54 , ! cong( U, X, U, T ), cyclic( X, Y, Z, T ) }.
% 15.13/15.54 (56309) {G0,W10,D2,L2,V4,M2} { ! cyclic( X, Y, Z, T ), cyclic( X, Y, T, Z
% 15.13/15.54 ) }.
% 15.13/15.54 (56310) {G0,W10,D2,L2,V4,M2} { ! cyclic( X, Y, Z, T ), cyclic( X, Z, Y, T
% 15.13/15.54 ) }.
% 15.13/15.54 (56311) {G0,W10,D2,L2,V4,M2} { ! cyclic( X, Y, Z, T ), cyclic( Y, X, Z, T
% 15.13/15.54 ) }.
% 15.13/15.54 (56312) {G0,W15,D2,L3,V5,M3} { ! cyclic( U, X, Y, Z ), ! cyclic( U, X, Y,
% 15.13/15.54 T ), cyclic( X, Y, Z, T ) }.
% 15.13/15.54 (56313) {G0,W18,D2,L2,V8,M2} { ! eqangle( X, Y, Z, T, U, W, V0, V1 ),
% 15.13/15.54 eqangle( Y, X, Z, T, U, W, V0, V1 ) }.
% 15.13/15.54 (56314) {G0,W18,D2,L2,V8,M2} { ! eqangle( X, Y, Z, T, U, W, V0, V1 ),
% 15.13/15.54 eqangle( Z, T, X, Y, V0, V1, U, W ) }.
% 15.13/15.54 (56315) {G0,W18,D2,L2,V8,M2} { ! eqangle( X, Y, Z, T, U, W, V0, V1 ),
% 15.13/15.54 eqangle( U, W, V0, V1, X, Y, Z, T ) }.
% 15.13/15.54 (56316) {G0,W18,D2,L2,V8,M2} { ! eqangle( X, Y, Z, T, U, W, V0, V1 ),
% 15.13/15.54 eqangle( X, Y, U, W, Z, T, V0, V1 ) }.
% 15.13/15.54 (56317) {G0,W27,D2,L3,V12,M3} { ! eqangle( X, Y, Z, T, V2, V3, V4, V5 ), !
% 15.13/15.54 eqangle( V2, V3, V4, V5, U, W, V0, V1 ), eqangle( X, Y, Z, T, U, W, V0,
% 15.13/15.54 V1 ) }.
% 15.13/15.54 (56318) {G0,W10,D2,L2,V4,M2} { ! cong( X, Y, Z, T ), cong( X, Y, T, Z )
% 15.13/15.54 }.
% 15.13/15.54 (56319) {G0,W10,D2,L2,V4,M2} { ! cong( X, Y, Z, T ), cong( Z, T, X, Y )
% 15.13/15.54 }.
% 15.13/15.54 (56320) {G0,W15,D2,L3,V6,M3} { ! cong( X, Y, U, W ), ! cong( U, W, Z, T )
% 15.13/15.54 , cong( X, Y, Z, T ) }.
% 15.13/15.54 (56321) {G0,W18,D2,L2,V8,M2} { ! eqratio( X, Y, Z, T, U, W, V0, V1 ),
% 15.13/15.54 eqratio( Y, X, Z, T, U, W, V0, V1 ) }.
% 15.13/15.54 (56322) {G0,W18,D2,L2,V8,M2} { ! eqratio( X, Y, Z, T, U, W, V0, V1 ),
% 15.13/15.54 eqratio( Z, T, X, Y, V0, V1, U, W ) }.
% 15.13/15.54 (56323) {G0,W18,D2,L2,V8,M2} { ! eqratio( X, Y, Z, T, U, W, V0, V1 ),
% 15.13/15.54 eqratio( U, W, V0, V1, X, Y, Z, T ) }.
% 15.13/15.54 (56324) {G0,W18,D2,L2,V8,M2} { ! eqratio( X, Y, Z, T, U, W, V0, V1 ),
% 15.13/15.54 eqratio( X, Y, U, W, Z, T, V0, V1 ) }.
% 15.13/15.54 (56325) {G0,W27,D2,L3,V12,M3} { ! eqratio( X, Y, Z, T, V2, V3, V4, V5 ), !
% 15.13/15.54 eqratio( V2, V3, V4, V5, U, W, V0, V1 ), eqratio( X, Y, Z, T, U, W, V0,
% 15.13/15.54 V1 ) }.
% 15.13/15.54 (56326) {G0,W14,D2,L2,V6,M2} { ! simtri( X, Z, Y, T, W, U ), simtri( X, Y
% 15.13/15.54 , Z, T, U, W ) }.
% 15.13/15.54 (56327) {G0,W14,D2,L2,V6,M2} { ! simtri( Y, X, Z, U, T, W ), simtri( X, Y
% 15.13/15.54 , Z, T, U, W ) }.
% 15.13/15.54 (56328) {G0,W14,D2,L2,V6,M2} { ! simtri( T, U, W, X, Y, Z ), simtri( X, Y
% 15.13/15.54 , Z, T, U, W ) }.
% 15.13/15.54 (56329) {G0,W21,D2,L3,V9,M3} { ! simtri( X, Y, Z, V0, V1, V2 ), ! simtri(
% 15.13/15.54 V0, V1, V2, T, U, W ), simtri( X, Y, Z, T, U, W ) }.
% 15.13/15.54 (56330) {G0,W14,D2,L2,V6,M2} { ! contri( X, Z, Y, T, W, U ), contri( X, Y
% 15.13/15.54 , Z, T, U, W ) }.
% 15.13/15.54 (56331) {G0,W14,D2,L2,V6,M2} { ! contri( Y, X, Z, U, T, W ), contri( X, Y
% 15.13/15.54 , Z, T, U, W ) }.
% 15.13/15.54 (56332) {G0,W14,D2,L2,V6,M2} { ! contri( T, U, W, X, Y, Z ), contri( X, Y
% 15.13/15.54 , Z, T, U, W ) }.
% 15.13/15.54 (56333) {G0,W21,D2,L3,V9,M3} { ! contri( X, Y, Z, V0, V1, V2 ), ! contri(
% 15.13/15.54 V0, V1, V2, T, U, W ), contri( X, Y, Z, T, U, W ) }.
% 15.13/15.54 (56334) {G0,W14,D2,L2,V6,M2} { ! eqangle( X, Y, U, W, Z, T, U, W ), para(
% 15.13/15.54 X, Y, Z, T ) }.
% 15.13/15.54 (56335) {G0,W14,D2,L2,V6,M2} { ! para( X, Y, Z, T ), eqangle( X, Y, U, W,
% 15.13/15.54 Z, T, U, W ) }.
% 15.13/15.54 (56336) {G0,W14,D2,L2,V4,M2} { ! cyclic( X, Y, Z, T ), eqangle( Z, X, Z, Y
% 15.13/15.54 , T, X, T, Y ) }.
% 15.13/15.54 (56337) {G0,W18,D2,L3,V4,M3} { ! eqangle( Z, X, Z, Y, T, X, T, Y ), coll(
% 15.13/15.54 Z, T, X ), cyclic( X, Y, Z, T ) }.
% 15.13/15.54 (56338) {G0,W18,D2,L3,V4,M3} { ! eqangle( Z, X, Z, Y, T, X, T, Y ), ! coll
% 15.13/15.54 ( Z, T, Y ), cyclic( X, Y, Z, T ) }.
% 15.13/15.54 (56339) {G0,W29,D2,L5,V6,M5} { ! cyclic( X, Y, U, Z ), ! cyclic( X, Y, U,
% 15.13/15.54 T ), ! cyclic( X, Y, U, W ), ! eqangle( U, X, U, Y, W, Z, W, T ), cong( X
% 15.13/15.54 , Y, Z, T ) }.
% 15.13/15.54 (56340) {G0,W13,D2,L3,V5,M3} { ! midp( Z, U, X ), ! midp( T, U, Y ), para
% 15.13/15.54 ( Z, T, X, Y ) }.
% 15.13/15.54 (56341) {G0,W17,D2,L4,V5,M4} { ! midp( U, X, T ), ! para( U, Z, T, Y ), !
% 15.13/15.54 coll( Z, X, Y ), midp( Z, X, Y ) }.
% 15.13/15.54 (56342) {G0,W14,D2,L2,V3,M2} { ! cong( Z, X, Z, Y ), eqangle( Z, X, X, Y,
% 15.13/15.54 X, Y, Z, Y ) }.
% 15.13/15.54 (56343) {G0,W18,D2,L3,V3,M3} { ! eqangle( Z, X, X, Y, X, Y, Z, Y ), coll(
% 15.13/15.54 Z, X, Y ), cong( Z, X, Z, Y ) }.
% 15.13/15.54 (56344) {G0,W19,D2,L3,V5,M3} { ! circle( U, X, Y, Z ), ! perp( U, X, X, T
% 15.13/15.54 ), eqangle( X, T, X, Y, Z, X, Z, Y ) }.
% 15.13/15.54 (56345) {G0,W19,D2,L3,V5,M3} { ! circle( Y, X, T, U ), ! eqangle( X, Z, X
% 15.13/15.54 , T, U, X, U, T ), perp( Y, X, X, Z ) }.
% 15.13/15.54 (56346) {G0,W18,D2,L3,V5,M3} { ! circle( T, X, Y, Z ), ! midp( U, Y, Z ),
% 15.13/15.54 eqangle( X, Y, X, Z, T, Y, T, U ) }.
% 15.13/15.54 (56347) {G0,W22,D2,L4,V5,M4} { ! circle( U, T, X, Y ), ! coll( Z, X, Y ),
% 15.13/15.54 ! eqangle( T, X, T, Y, U, X, U, Z ), midp( Z, X, Y ) }.
% 15.13/15.54 (56348) {G0,W14,D2,L3,V4,M3} { ! perp( X, Y, Y, T ), ! midp( Z, X, T ),
% 15.13/15.54 cong( X, Z, Y, Z ) }.
% 15.13/15.54 (56349) {G0,W14,D2,L3,V4,M3} { ! circle( T, X, Y, Z ), ! coll( T, X, Z ),
% 15.13/15.54 perp( X, Y, Y, Z ) }.
% 15.13/15.54 (56350) {G0,W19,D2,L3,V4,M3} { ! cyclic( X, Y, Z, T ), ! para( X, Y, Z, T
% 15.13/15.54 ), eqangle( X, T, Z, T, Z, T, Z, Y ) }.
% 15.13/15.54 (56351) {G0,W14,D2,L3,V4,M3} { ! midp( T, X, Y ), ! perp( Z, T, X, Y ),
% 15.13/15.54 cong( Z, X, Z, Y ) }.
% 15.13/15.54 (56352) {G0,W15,D2,L3,V4,M3} { ! cong( X, Z, Y, Z ), ! cong( X, T, Y, T )
% 15.13/15.54 , perp( X, Y, Z, T ) }.
% 15.13/15.54 (56353) {G0,W20,D2,L4,V4,M4} { ! cong( X, Y, T, Y ), ! cong( X, Z, T, Z )
% 15.13/15.54 , ! cyclic( X, T, Y, Z ), perp( Y, X, X, Z ) }.
% 15.13/15.54 (56354) {G0,W29,D2,L4,V6,M4} { ! eqangle( X, Y, Y, Z, T, U, U, W ), !
% 15.13/15.54 eqangle( X, Z, Y, Z, T, W, U, W ), coll( X, Y, Z ), simtri( X, Y, Z, T, U
% 15.13/15.54 , W ) }.
% 15.13/15.54 (56355) {G0,W16,D2,L2,V6,M2} { ! simtri( X, Y, Z, T, U, W ), eqratio( X, Y
% 15.13/15.54 , X, Z, T, U, T, W ) }.
% 15.13/15.54 (56356) {G0,W16,D2,L2,V6,M2} { ! simtri( X, Y, Z, T, U, W ), eqangle( X, Y
% 15.13/15.54 , Y, Z, T, U, U, W ) }.
% 15.13/15.54 (56357) {G0,W19,D2,L3,V6,M3} { ! simtri( X, Y, Z, T, U, W ), ! cong( X, Y
% 15.13/15.54 , T, U ), contri( X, Y, Z, T, U, W ) }.
% 15.13/15.54 (56358) {G0,W12,D2,L2,V6,M2} { ! contri( X, Y, U, Z, T, W ), cong( X, Y, Z
% 15.13/15.54 , T ) }.
% 15.13/15.54 (56359) {G0,W13,D2,L3,V5,M3} { ! midp( U, X, Y ), ! midp( U, Z, T ), para
% 15.13/15.54 ( X, Z, Y, T ) }.
% 15.13/15.54 (56360) {G0,W18,D2,L4,V5,M4} { ! midp( Z, T, U ), ! para( T, X, U, Y ), !
% 15.13/15.54 para( T, Y, U, X ), midp( Z, X, Y ) }.
% 15.13/15.54 (56361) {G0,W22,D2,L4,V5,M4} { ! para( X, Y, Z, T ), ! coll( U, X, Z ), !
% 15.13/15.54 coll( U, Y, T ), eqratio( U, X, X, Z, U, Y, Y, T ) }.
% 15.13/15.54 (56362) {G0,W9,D2,L2,V3,M2} { ! para( X, Y, X, Z ), coll( X, Y, Z ) }.
% 15.13/15.54 (56363) {G0,W13,D2,L3,V3,M3} { ! cong( X, Y, X, Z ), ! coll( X, Y, Z ),
% 15.13/15.54 midp( X, Y, Z ) }.
% 15.13/15.54 (56364) {G0,W9,D2,L2,V3,M2} { ! midp( X, Y, Z ), cong( X, Y, X, Z ) }.
% 15.13/15.54 (56365) {G0,W8,D2,L2,V3,M2} { ! midp( X, Y, Z ), coll( X, Y, Z ) }.
% 15.13/15.54 (56366) {G0,W17,D2,L3,V6,M3} { ! midp( U, X, Y ), ! midp( W, Z, T ),
% 15.13/15.54 eqratio( U, X, X, Y, W, Z, Z, T ) }.
% 15.13/15.54 (56367) {G0,W19,D2,L3,V4,M3} { ! eqangle( X, Y, Z, T, Z, T, X, Y ), para(
% 15.13/15.54 X, Y, Z, T ), perp( X, Y, Z, T ) }.
% 15.13/15.54 (56368) {G0,W19,D2,L3,V4,M3} { ! eqangle( X, Y, Z, T, Z, T, X, Y ), perp(
% 15.13/15.54 X, Y, Z, T ), para( X, Y, Z, T ) }.
% 15.13/15.54 (56369) {G0,W19,D2,L3,V8,M3} { ! eqangle( X, Y, Z, T, U, W, V0, V1 ), !
% 15.13/15.54 para( U, W, V0, V1 ), para( X, Y, Z, T ) }.
% 15.13/15.54 (56370) {G0,W19,D2,L3,V8,M3} { ! eqangle( X, Y, Z, T, U, W, V0, V1 ), !
% 15.13/15.54 perp( U, W, V0, V1 ), perp( X, Y, Z, T ) }.
% 15.13/15.54 (56371) {G0,W19,D2,L3,V8,M3} { ! eqratio( X, Y, Z, T, U, W, V0, V1 ), !
% 15.13/15.54 cong( U, W, V0, V1 ), cong( X, Y, Z, T ) }.
% 15.13/15.54 (56372) {G0,W22,D3,L3,V6,M3} { ! perp( Z, Y, Y, X ), ! eqangle( T, Z, Y, Z
% 15.13/15.54 , Y, Z, X, Z ), coll( skol1( U, W, Z, T ), Z, T ) }.
% 15.13/15.54 (56373) {G0,W22,D3,L3,V4,M3} { ! perp( Z, Y, Y, X ), ! eqangle( T, Z, Y, Z
% 15.13/15.54 , Y, Z, X, Z ), coll( skol1( X, Y, Z, T ), X, Y ) }.
% 15.13/15.54 (56374) {G0,W22,D3,L3,V6,M3} { ! cong( Z, X, Z, Y ), ! eqangle( X, Z, Z, T
% 15.13/15.54 , Z, T, Z, Y ), coll( skol2( U, W, Z, T ), Z, T ) }.
% 15.13/15.54 (56375) {G0,W22,D3,L3,V4,M3} { ! cong( Z, X, Z, Y ), ! eqangle( X, Z, Z, T
% 15.13/15.54 , Z, T, Z, Y ), coll( Y, X, skol2( X, Y, Z, T ) ) }.
% 15.13/15.54 (56376) {G0,W22,D3,L3,V6,M3} { ! perp( Z, T, X, Y ), ! eqangle( X, Z, Z, T
% 15.13/15.54 , Z, T, Z, Y ), coll( skol3( U, W, Z, T ), Z, T ) }.
% 15.13/15.54 (56377) {G0,W22,D3,L3,V4,M3} { ! perp( Z, T, X, Y ), ! eqangle( X, Z, Z, T
% 15.13/15.54 , Z, T, Z, Y ), coll( Y, X, skol3( X, Y, Z, T ) ) }.
% 15.13/15.54 (56378) {G0,W18,D3,L3,V6,M3} { ! perp( Z, T, X, Y ), ! cong( Z, X, Z, Y )
% 15.13/15.54 , coll( skol4( U, W, Z, T ), Z, T ) }.
% 15.13/15.54 (56379) {G0,W18,D3,L3,V4,M3} { ! perp( Z, T, X, Y ), ! cong( Z, X, Z, Y )
% 15.13/15.54 , coll( Y, X, skol4( X, Y, Z, T ) ) }.
% 15.13/15.54 (56380) {G0,W22,D3,L3,V6,M3} { ! eqangle( X, Z, Y, Z, X, T, Y, U ), coll(
% 15.13/15.54 X, Y, Z ), cyclic( T, Y, Z, skol5( W, Y, Z, T ) ) }.
% 15.13/15.54 (56381) {G0,W30,D3,L3,V5,M3} { ! eqangle( X, Z, Y, Z, X, T, Y, U ), coll(
% 15.13/15.54 X, Y, Z ), eqangle( X, Z, Y, Z, X, skol5( X, Y, Z, T ), Y, skol5( X, Y, Z
% 15.13/15.54 , T ) ) }.
% 15.13/15.54 (56382) {G0,W18,D3,L3,V10,M3} { ! midp( U, X, Y ), ! midp( W, Z, T ), midp
% 15.13/15.54 ( skol6( X, V0, V1, T, V2, V3 ), X, T ) }.
% 15.13/15.54 (56383) {G0,W19,D3,L3,V8,M3} { ! midp( U, X, Y ), ! midp( W, Z, T ), para
% 15.13/15.54 ( skol6( X, V0, Z, T, V1, W ), W, X, Z ) }.
% 15.13/15.54 (56384) {G0,W19,D3,L3,V6,M3} { ! midp( U, X, Y ), ! midp( W, Z, T ), para
% 15.13/15.54 ( skol6( X, Y, Z, T, U, W ), U, Y, T ) }.
% 15.13/15.54 (56385) {G0,W22,D3,L5,V7,M5} { ! midp( Z, X, Y ), ! midp( W, T, U ), !
% 15.13/15.54 coll( T, X, Y ), ! coll( U, X, Y ), midp( skol7( X, V0 ), X, V0 ) }.
% 15.13/15.54 (56386) {G0,W26,D3,L5,V8,M5} { ! midp( T, X, U ), ! para( X, W, Z, T ), !
% 15.13/15.54 para( X, W, U, Y ), ! coll( W, Y, Z ), coll( skol8( V0, V1, Z, T ), T, Z
% 15.13/15.54 ) }.
% 15.13/15.54 (56387) {G0,W26,D3,L5,V6,M5} { ! midp( T, X, U ), ! para( X, W, Z, T ), !
% 15.13/15.54 para( X, W, U, Y ), ! coll( W, Y, Z ), coll( skol8( X, Y, Z, T ), X, Y )
% 15.13/15.54 }.
% 15.13/15.54 (56388) {G0,W19,D3,L3,V7,M3} { ! cong( T, Z, T, U ), ! perp( X, Y, Y, T )
% 15.13/15.54 , cong( T, Z, T, skol9( W, V0, Z, T ) ) }.
% 15.13/15.54 (56389) {G0,W19,D3,L3,V6,M3} { ! cong( T, Z, T, U ), ! perp( X, Y, Y, T )
% 15.13/15.54 , cong( Y, Z, Y, skol9( W, Y, Z, T ) ) }.
% 15.13/15.54 (56390) {G0,W19,D3,L3,V5,M3} { ! cong( T, Z, T, U ), ! perp( X, Y, Y, T )
% 15.13/15.54 , para( skol9( X, Y, Z, T ), Z, X, Y ) }.
% 15.13/15.54 (56391) {G0,W17,D3,L3,V5,M3} { ! perp( X, T, Y, Z ), ! perp( Y, T, X, Z )
% 15.13/15.54 , coll( skol10( U, Y, Z ), Z, Y ) }.
% 15.13/15.54 (56392) {G0,W18,D3,L3,V4,M3} { ! perp( X, T, Y, Z ), ! perp( Y, T, X, Z )
% 15.13/15.54 , perp( X, skol10( X, Y, Z ), Z, Y ) }.
% 15.13/15.54 (56393) {G0,W14,D2,L3,V4,M3} { ! perp( X, T, Y, Z ), ! perp( Y, T, X, Z )
% 15.13/15.54 , alpha1( X, Y, Z ) }.
% 15.13/15.54 (56394) {G0,W11,D3,L2,V4,M2} { ! alpha1( X, Y, Z ), coll( skol11( X, T, Z
% 15.13/15.54 ), Z, X ) }.
% 15.13/15.54 (56395) {G0,W12,D3,L2,V3,M2} { ! alpha1( X, Y, Z ), perp( Y, skol11( X, Y
% 15.13/15.54 , Z ), Z, X ) }.
% 15.13/15.54 (56396) {G0,W13,D2,L3,V4,M3} { ! coll( T, Z, X ), ! perp( Y, T, Z, X ),
% 15.13/15.54 alpha1( X, Y, Z ) }.
% 15.13/15.54 (56397) {G0,W12,D3,L2,V4,M2} { ! circle( Y, X, Z, T ), perp( skol12( X, Y
% 15.13/15.54 ), X, X, Y ) }.
% 15.13/15.54 (56398) {G0,W28,D3,L5,V8,M5} { ! circle( W, X, Y, Z ), ! cong( W, X, W, T
% 15.13/15.54 ), ! cong( U, X, U, Y ), W = U, alpha2( X, Z, U, skol13( X, V0, Z, V1, U
% 15.13/15.54 ) ) }.
% 15.13/15.54 (56399) {G0,W26,D3,L5,V8,M5} { ! circle( W, X, Y, Z ), ! cong( W, X, W, T
% 15.13/15.54 ), ! cong( U, X, U, Y ), W = U, coll( skol21( V0, Y, T, V1 ), Y, T ) }.
% 15.13/15.54 (56400) {G0,W27,D3,L5,V6,M5} { ! circle( W, X, Y, Z ), ! cong( W, X, W, T
% 15.13/15.54 ), ! cong( U, X, U, Y ), W = U, cong( skol21( X, Y, T, U ), U, U, X )
% 15.13/15.54 }.
% 15.13/15.54 (56401) {G0,W9,D2,L2,V4,M2} { ! alpha2( X, Y, Z, T ), coll( T, X, Y ) }.
% 15.13/15.54 (56402) {G0,W10,D2,L2,V4,M2} { ! alpha2( X, Y, Z, T ), cong( T, Z, Z, X )
% 15.13/15.54 }.
% 15.13/15.54 (56403) {G0,W14,D2,L3,V4,M3} { ! coll( T, X, Y ), ! cong( T, Z, Z, X ),
% 15.13/15.54 alpha2( X, Y, Z, T ) }.
% 15.13/15.54 (56404) {G0,W22,D3,L4,V5,M4} { ! cyclic( X, Y, Z, T ), ! para( X, Y, Z, T
% 15.13/15.54 ), ! midp( U, X, Y ), circle( skol14( X, Y, Z ), X, Y, Z ) }.
% 15.13/15.54 (56405) {G0,W18,D3,L3,V4,M3} { ! perp( X, Z, Z, Y ), ! cyclic( X, Y, Z, T
% 15.13/15.54 ), circle( skol15( X, Y, Z ), X, Y, Z ) }.
% 15.13/15.54 (56406) {G0,W16,D3,L3,V6,M3} { ! perp( X, U, U, T ), ! coll( T, Y, Z ),
% 15.13/15.54 coll( skol16( W, Y, Z ), Y, Z ) }.
% 15.13/15.54 (56407) {G0,W17,D3,L3,V5,M3} { ! perp( X, U, U, T ), ! coll( T, Y, Z ),
% 15.13/15.54 perp( skol16( X, Y, Z ), X, Y, Z ) }.
% 15.13/15.54 (56408) {G0,W20,D3,L4,V5,M4} { ! perp( X, Z, X, Y ), ! perp( Y, X, Y, T )
% 15.13/15.54 , ! midp( U, Z, T ), midp( skol17( X, Y ), X, Y ) }.
% 15.13/15.54 (56409) {G0,W16,D3,L3,V3,M3} { ! cong( Y, X, Y, Z ), ! perp( X, Y, Y, Z )
% 15.13/15.54 , coll( X, Y, skol18( X, Y ) ) }.
% 15.13/15.54 (56410) {G0,W17,D3,L3,V3,M3} { ! cong( Y, X, Y, Z ), ! perp( X, Y, Y, Z )
% 15.13/15.54 , cong( Y, X, Y, skol18( X, Y ) ) }.
% 15.13/15.54 (56411) {G0,W25,D3,L5,V8,M5} { ! para( U, W, X, Y ), ! coll( Z, U, X ), !
% 15.13/15.54 coll( Z, W, Y ), ! coll( T, U, W ), coll( Z, T, skol19( V0, V1, Z, T ) )
% 15.13/15.54 }.
% 15.13/15.54 (56412) {G0,W25,D3,L5,V6,M5} { ! para( U, W, X, Y ), ! coll( Z, U, X ), !
% 15.13/15.54 coll( Z, W, Y ), ! coll( T, U, W ), coll( skol19( X, Y, Z, T ), X, Y )
% 15.13/15.54 }.
% 15.13/15.54 (56413) {G0,W5,D2,L1,V0,M1} { circle( skol27, skol25, skol20, skol26 ) }.
% 15.13/15.54 (56414) {G0,W5,D2,L1,V0,M1} { circle( skol27, skol25, skol22, skol28 ) }.
% 15.13/15.54 (56415) {G0,W5,D2,L1,V0,M1} { perp( skol25, skol20, skol25, skol23 ) }.
% 15.13/15.54 (56416) {G0,W4,D2,L1,V0,M1} { coll( skol23, skol26, skol22 ) }.
% 15.13/15.54 (56417) {G0,W5,D2,L1,V0,M1} { perp( skol26, skol22, skol26, skol24 ) }.
% 15.13/15.54 (56418) {G0,W4,D2,L1,V0,M1} { coll( skol24, skol25, skol20 ) }.
% 15.13/15.54 (56419) {G0,W5,D2,L1,V0,M1} { ! para( skol22, skol20, skol23, skol24 ) }.
% 15.13/15.54
% 15.13/15.54
% 15.13/15.54 Total Proof:
% 15.13/15.54
% 15.13/15.54 subsumption: (0) {G0,W8,D2,L2,V3,M2} I { ! coll( X, Y, Z ), coll( X, Z, Y )
% 15.13/15.54 }.
% 15.13/15.54 parent0: (56296) {G0,W8,D2,L2,V3,M2} { ! coll( X, Y, Z ), coll( X, Z, Y )
% 15.13/15.54 }.
% 15.13/15.54 substitution0:
% 15.13/15.54 X := X
% 15.13/15.54 Y := Y
% 15.13/15.54 Z := Z
% 15.13/15.54 end
% 15.13/15.54 permutation0:
% 15.13/15.54 0 ==> 0
% 15.13/15.54 1 ==> 1
% 15.13/15.54 end
% 15.13/15.54
% 15.13/15.54 subsumption: (1) {G0,W8,D2,L2,V3,M2} I { ! coll( X, Y, Z ), coll( Y, X, Z )
% 15.13/15.54 }.
% 15.13/15.54 parent0: (56297) {G0,W8,D2,L2,V3,M2} { ! coll( X, Y, Z ), coll( Y, X, Z )
% 15.13/15.54 }.
% 15.13/15.54 substitution0:
% 15.13/15.54 X := X
% 15.13/15.54 Y := Y
% 15.13/15.54 Z := Z
% 15.13/15.54 end
% 15.13/15.54 permutation0:
% 15.13/15.54 0 ==> 0
% 15.13/15.54 1 ==> 1
% 15.13/15.54 end
% 15.13/15.54
% 15.13/15.54 subsumption: (2) {G0,W12,D2,L3,V4,M3} I { ! coll( X, T, Y ), ! coll( X, T,
% 15.13/15.54 Z ), coll( Y, Z, X ) }.
% 15.13/15.54 parent0: (56298) {G0,W12,D2,L3,V4,M3} { ! coll( X, T, Y ), ! coll( X, T, Z
% 15.13/15.54 ), coll( Y, Z, X ) }.
% 15.13/15.54 substitution0:
% 15.13/15.54 X := X
% 15.13/15.54 Y := Y
% 15.13/15.54 Z := Z
% 15.13/15.54 T := T
% 15.13/15.54 end
% 15.13/15.54 permutation0:
% 15.13/15.54 0 ==> 0
% 15.13/15.54 1 ==> 1
% 15.13/15.54 2 ==> 2
% 15.13/15.54 end
% 15.13/15.54
% 15.13/15.54 subsumption: (4) {G0,W10,D2,L2,V4,M2} I { ! para( X, Y, Z, T ), para( Z, T
% 15.13/15.54 , X, Y ) }.
% 15.13/15.54 parent0: (56300) {G0,W10,D2,L2,V4,M2} { ! para( X, Y, Z, T ), para( Z, T,
% 15.13/15.54 X, Y ) }.
% 15.13/15.54 substitution0:
% 15.13/15.54 X := X
% 15.13/15.54 Y := Y
% 15.13/15.54 Z := Z
% 15.13/15.54 T := T
% 15.13/15.54 end
% 15.13/15.54 permutation0:
% 15.13/15.54 0 ==> 0
% 15.13/15.54 1 ==> 1
% 15.13/15.54 end
% 15.13/15.54
% 15.13/15.54 subsumption: (5) {G0,W15,D2,L3,V6,M3} I { ! para( X, Y, U, W ), ! para( U,
% 15.13/15.54 W, Z, T ), para( X, Y, Z, T ) }.
% 15.13/15.54 parent0: (56301) {G0,W15,D2,L3,V6,M3} { ! para( X, Y, U, W ), ! para( U, W
% 15.13/15.54 , Z, T ), para( X, Y, Z, T ) }.
% 15.13/15.54 substitution0:
% 15.13/15.54 X := X
% 15.13/15.54 Y := Y
% 15.13/15.54 Z := Z
% 15.13/15.54 T := T
% 15.13/15.54 U := U
% 15.13/15.54 W := W
% 15.13/15.54 end
% 15.13/15.54 permutation0:
% 15.13/15.54 0 ==> 0
% 15.13/15.54 1 ==> 1
% 15.13/15.54 2 ==> 2
% 15.13/15.54 end
% 15.13/15.54
% 15.13/15.54 subsumption: (6) {G0,W10,D2,L2,V4,M2} I { ! perp( X, Y, Z, T ), perp( X, Y
% 15.13/15.54 , T, Z ) }.
% 15.13/15.54 parent0: (56302) {G0,W10,D2,L2,V4,M2} { ! perp( X, Y, Z, T ), perp( X, Y,
% 15.13/15.54 T, Z ) }.
% 15.13/15.54 substitution0:
% 15.13/15.54 X := X
% 15.13/15.54 Y := Y
% 15.13/15.54 Z := Z
% 15.13/15.54 T := T
% 15.13/15.54 end
% 15.13/15.54 permutation0:
% 15.13/15.54 0 ==> 0
% 15.13/15.54 1 ==> 1
% 15.13/15.54 end
% 15.13/15.54
% 15.13/15.54 subsumption: (7) {G0,W10,D2,L2,V4,M2} I { ! perp( X, Y, Z, T ), perp( Z, T
% 15.13/15.54 , X, Y ) }.
% 15.13/15.54 parent0: (56303) {G0,W10,D2,L2,V4,M2} { ! perp( X, Y, Z, T ), perp( Z, T,
% 15.13/15.54 X, Y ) }.
% 15.13/15.54 substitution0:
% 15.13/15.54 X := X
% 15.13/15.54 Y := Y
% 15.13/15.54 Z := Z
% 15.13/15.54 T := T
% 15.13/15.54 end
% 15.13/15.54 permutation0:
% 15.13/15.54 0 ==> 0
% 15.13/15.54 1 ==> 1
% 15.13/15.54 end
% 15.13/15.54
% 15.13/15.54 subsumption: (8) {G0,W15,D2,L3,V6,M3} I { ! perp( X, Y, U, W ), ! perp( U,
% 15.13/15.54 W, Z, T ), para( X, Y, Z, T ) }.
% 15.13/15.54 parent0: (56304) {G0,W15,D2,L3,V6,M3} { ! perp( X, Y, U, W ), ! perp( U, W
% 15.13/15.54 , Z, T ), para( X, Y, Z, T ) }.
% 15.13/15.54 substitution0:
% 15.13/15.54 X := X
% 15.13/15.54 Y := Y
% 15.13/15.54 Z := Z
% 15.13/15.54 T := T
% 15.13/15.54 U := U
% 15.13/15.54 W := W
% 15.13/15.54 end
% 15.13/15.54 permutation0:
% 15.13/15.54 0 ==> 0
% 15.13/15.54 1 ==> 1
% 15.13/15.54 2 ==> 2
% 15.13/15.54 end
% 15.13/15.54
% 15.13/15.54 subsumption: (13) {G0,W10,D2,L2,V4,M2} I { ! cyclic( X, Y, Z, T ), cyclic(
% 15.13/15.54 X, Y, T, Z ) }.
% 15.13/15.54 parent0: (56309) {G0,W10,D2,L2,V4,M2} { ! cyclic( X, Y, Z, T ), cyclic( X
% 15.13/15.54 , Y, T, Z ) }.
% 15.13/15.54 substitution0:
% 15.13/15.54 X := X
% 15.13/15.54 Y := Y
% 15.13/15.54 Z := Z
% 15.13/15.54 T := T
% 15.13/15.54 end
% 15.13/15.54 permutation0:
% 15.13/15.54 0 ==> 0
% 15.13/15.54 1 ==> 1
% 15.13/15.54 end
% 15.13/15.54
% 15.13/15.54 subsumption: (14) {G0,W10,D2,L2,V4,M2} I { ! cyclic( X, Y, Z, T ), cyclic(
% 15.13/15.54 X, Z, Y, T ) }.
% 15.13/15.54 parent0: (56310) {G0,W10,D2,L2,V4,M2} { ! cyclic( X, Y, Z, T ), cyclic( X
% 15.13/15.54 , Z, Y, T ) }.
% 15.13/15.54 substitution0:
% 15.13/15.54 X := X
% 15.13/15.54 Y := Y
% 15.13/15.54 Z := Z
% 15.13/15.54 T := T
% 15.13/15.54 end
% 15.13/15.54 permutation0:
% 15.13/15.54 0 ==> 0
% 15.13/15.54 1 ==> 1
% 15.13/15.54 end
% 15.13/15.54
% 15.13/15.54 subsumption: (15) {G0,W10,D2,L2,V4,M2} I { ! cyclic( X, Y, Z, T ), cyclic(
% 15.13/15.54 Y, X, Z, T ) }.
% 15.13/15.54 parent0: (56311) {G0,W10,D2,L2,V4,M2} { ! cyclic( X, Y, Z, T ), cyclic( Y
% 15.13/15.54 , X, Z, T ) }.
% 15.13/15.54 substitution0:
% 15.13/15.54 X := X
% 15.13/15.54 Y := Y
% 15.13/15.54 Z := Z
% 15.13/15.54 T := T
% 15.13/15.54 end
% 15.13/15.54 permutation0:
% 15.13/15.54 0 ==> 0
% 15.13/15.54 1 ==> 1
% 15.13/15.54 end
% 15.13/15.54
% 15.13/15.54 subsumption: (16) {G0,W15,D2,L3,V5,M3} I { ! cyclic( U, X, Y, Z ), ! cyclic
% 15.13/15.54 ( U, X, Y, T ), cyclic( X, Y, Z, T ) }.
% 15.13/15.54 parent0: (56312) {G0,W15,D2,L3,V5,M3} { ! cyclic( U, X, Y, Z ), ! cyclic(
% 15.13/15.54 U, X, Y, T ), cyclic( X, Y, Z, T ) }.
% 15.13/15.54 substitution0:
% 15.13/15.54 X := X
% 15.13/15.54 Y := Y
% 15.13/15.54 Z := Z
% 15.13/15.54 T := T
% 15.13/15.54 U := U
% 15.13/15.54 end
% 15.13/15.54 permutation0:
% 15.13/15.54 0 ==> 0
% 15.13/15.54 1 ==> 1
% 15.13/15.54 2 ==> 2
% 15.13/15.54 end
% 15.13/15.54
% 15.13/15.54 subsumption: (18) {G0,W18,D2,L2,V8,M2} I { ! eqangle( X, Y, Z, T, U, W, V0
% 15.13/15.54 , V1 ), eqangle( Z, T, X, Y, V0, V1, U, W ) }.
% 15.13/15.54 parent0: (56314) {G0,W18,D2,L2,V8,M2} { ! eqangle( X, Y, Z, T, U, W, V0,
% 15.13/15.54 V1 ), eqangle( Z, T, X, Y, V0, V1, U, W ) }.
% 15.13/15.54 substitution0:
% 15.13/15.54 X := X
% 15.13/15.54 Y := Y
% 15.13/15.54 Z := Z
% 15.13/15.54 T := T
% 15.13/15.54 U := U
% 15.13/15.54 W := W
% 15.13/15.54 V0 := V0
% 15.13/15.54 V1 := V1
% 15.13/15.54 end
% 15.13/15.54 permutation0:
% 15.13/15.54 0 ==> 0
% 15.13/15.54 1 ==> 1
% 15.13/15.54 end
% 15.13/15.54
% 15.13/15.54 subsumption: (19) {G0,W18,D2,L2,V8,M2} I { ! eqangle( X, Y, Z, T, U, W, V0
% 15.13/15.54 , V1 ), eqangle( U, W, V0, V1, X, Y, Z, T ) }.
% 15.13/15.54 parent0: (56315) {G0,W18,D2,L2,V8,M2} { ! eqangle( X, Y, Z, T, U, W, V0,
% 15.13/15.54 V1 ), eqangle( U, W, V0, V1, X, Y, Z, T ) }.
% 15.13/15.54 substitution0:
% 15.13/15.54 X := X
% 15.13/15.54 Y := Y
% 15.13/15.54 Z := Z
% 15.13/15.54 T := T
% 15.13/15.54 U := U
% 15.13/15.54 W := W
% 15.13/15.54 V0 := V0
% 15.13/15.54 V1 := V1
% 15.13/15.54 end
% 15.13/15.54 permutation0:
% 15.13/15.54 0 ==> 0
% 15.13/15.54 1 ==> 1
% 15.13/15.54 end
% 15.13/15.54
% 15.13/15.54 subsumption: (39) {G0,W14,D2,L2,V6,M2} I { ! para( X, Y, Z, T ), eqangle( X
% 15.13/15.54 , Y, U, W, Z, T, U, W ) }.
% 15.13/15.54 parent0: (56335) {G0,W14,D2,L2,V6,M2} { ! para( X, Y, Z, T ), eqangle( X,
% 15.13/15.54 Y, U, W, Z, T, U, W ) }.
% 15.13/15.54 substitution0:
% 15.13/15.54 X := X
% 15.13/15.54 Y := Y
% 15.13/15.54 Z := Z
% 15.13/15.54 T := T
% 15.13/15.54 U := U
% 15.13/15.54 W := W
% 15.13/15.54 end
% 15.13/15.54 permutation0:
% 15.13/15.54 0 ==> 0
% 15.13/15.54 1 ==> 1
% 15.13/15.54 end
% 15.13/15.54
% 15.13/15.54 subsumption: (40) {G0,W14,D2,L2,V4,M2} I { ! cyclic( X, Y, Z, T ), eqangle
% 15.13/15.54 ( Z, X, Z, Y, T, X, T, Y ) }.
% 15.13/15.54 parent0: (56336) {G0,W14,D2,L2,V4,M2} { ! cyclic( X, Y, Z, T ), eqangle( Z
% 15.13/15.54 , X, Z, Y, T, X, T, Y ) }.
% 15.13/15.54 substitution0:
% 15.13/15.54 X := X
% 15.13/15.54 Y := Y
% 15.13/15.54 Z := Z
% 15.13/15.54 T := T
% 15.13/15.54 end
% 15.13/15.54 permutation0:
% 15.13/15.54 0 ==> 0
% 15.13/15.54 1 ==> 1
% 15.13/15.54 end
% 15.13/15.54
% 15.13/15.54 subsumption: (42) {G0,W18,D2,L3,V4,M3} I { ! eqangle( Z, X, Z, Y, T, X, T,
% 15.13/15.54 Y ), ! coll( Z, T, Y ), cyclic( X, Y, Z, T ) }.
% 15.13/15.54 parent0: (56338) {G0,W18,D2,L3,V4,M3} { ! eqangle( Z, X, Z, Y, T, X, T, Y
% 15.13/15.54 ), ! coll( Z, T, Y ), cyclic( X, Y, Z, T ) }.
% 15.13/15.54 substitution0:
% 15.13/15.54 X := X
% 15.13/15.54 Y := Y
% 15.13/15.54 Z := Z
% 15.13/15.54 T := T
% 15.13/15.54 end
% 15.13/15.54 permutation0:
% 15.13/15.54 0 ==> 0
% 15.13/15.54 1 ==> 1
% 15.13/15.54 2 ==> 2
% 15.13/15.54 end
% 15.13/15.54
% 15.13/15.54 subsumption: (43) {G0,W29,D2,L5,V6,M5} I { ! cyclic( X, Y, U, Z ), ! cyclic
% 15.13/15.54 ( X, Y, U, T ), ! cyclic( X, Y, U, W ), ! eqangle( U, X, U, Y, W, Z, W, T
% 15.13/15.54 ), cong( X, Y, Z, T ) }.
% 15.13/15.54 parent0: (56339) {G0,W29,D2,L5,V6,M5} { ! cyclic( X, Y, U, Z ), ! cyclic(
% 15.13/15.54 X, Y, U, T ), ! cyclic( X, Y, U, W ), ! eqangle( U, X, U, Y, W, Z, W, T )
% 15.13/15.54 , cong( X, Y, Z, T ) }.
% 15.13/15.54 substitution0:
% 15.13/15.54 X := X
% 15.13/15.54 Y := Y
% 15.13/15.54 Z := Z
% 15.13/15.54 T := T
% 15.13/15.54 U := U
% 15.13/15.54 W := W
% 15.13/15.54 end
% 15.13/15.54 permutation0:
% 15.13/15.54 0 ==> 0
% 15.13/15.54 1 ==> 1
% 15.13/15.54 2 ==> 2
% 15.13/15.54 3 ==> 3
% 15.13/15.54 4 ==> 4
% 15.13/15.54 end
% 15.13/15.54
% 15.13/15.54 subsumption: (56) {G0,W15,D2,L3,V4,M3} I { ! cong( X, Z, Y, Z ), ! cong( X
% 15.13/15.54 , T, Y, T ), perp( X, Y, Z, T ) }.
% 15.13/15.54 parent0: (56352) {G0,W15,D2,L3,V4,M3} { ! cong( X, Z, Y, Z ), ! cong( X, T
% 15.13/15.54 , Y, T ), perp( X, Y, Z, T ) }.
% 15.13/15.54 substitution0:
% 15.13/15.54 X := X
% 15.13/15.54 Y := Y
% 15.13/15.54 Z := Z
% 15.13/15.54 T := T
% 15.13/15.54 end
% 15.13/15.54 permutation0:
% 15.13/15.54 0 ==> 0
% 15.13/15.54 1 ==> 1
% 15.13/15.54 2 ==> 2
% 15.13/15.54 end
% 15.13/15.54
% 15.13/15.54 subsumption: (96) {G0,W14,D2,L3,V4,M3} I { ! perp( X, T, Y, Z ), ! perp( Y
% 15.13/15.54 , T, X, Z ), alpha1( X, Y, Z ) }.
% 15.13/15.54 parent0: (56393) {G0,W14,D2,L3,V4,M3} { ! perp( X, T, Y, Z ), ! perp( Y, T
% 15.13/15.54 , X, Z ), alpha1( X, Y, Z ) }.
% 15.13/15.54 substitution0:
% 15.13/15.54 X := X
% 15.13/15.54 Y := Y
% 15.13/15.54 Z := Z
% 15.13/15.54 T := T
% 15.13/15.54 end
% 15.13/15.54 permutation0:
% 15.13/15.54 0 ==> 0
% 15.13/15.54 1 ==> 1
% 15.13/15.54 2 ==> 2
% 15.13/15.54 end
% 15.13/15.54
% 15.13/15.54 subsumption: (97) {G0,W11,D3,L2,V4,M2} I { ! alpha1( X, Y, Z ), coll(
% 15.13/15.54 skol11( X, T, Z ), Z, X ) }.
% 15.13/15.54 parent0: (56394) {G0,W11,D3,L2,V4,M2} { ! alpha1( X, Y, Z ), coll( skol11
% 15.13/15.54 ( X, T, Z ), Z, X ) }.
% 15.13/15.54 substitution0:
% 15.13/15.54 X := X
% 15.13/15.54 Y := Y
% 15.13/15.54 Z := Z
% 15.13/15.54 T := T
% 15.13/15.54 end
% 15.13/15.54 permutation0:
% 15.13/15.54 0 ==> 0
% 15.13/15.54 1 ==> 1
% 15.13/15.54 end
% 15.13/15.54
% 15.13/15.54 subsumption: (100) {G0,W12,D3,L2,V4,M2} I { ! circle( Y, X, Z, T ), perp(
% 15.13/15.54 skol12( X, Y ), X, X, Y ) }.
% 15.13/15.54 parent0: (56397) {G0,W12,D3,L2,V4,M2} { ! circle( Y, X, Z, T ), perp(
% 15.13/15.54 skol12( X, Y ), X, X, Y ) }.
% 15.13/15.54 substitution0:
% 15.13/15.54 X := X
% 15.13/15.54 Y := Y
% 15.13/15.54 Z := Z
% 15.13/15.54 T := T
% 15.13/15.54 end
% 15.13/15.54 permutation0:
% 15.13/15.54 0 ==> 0
% 15.13/15.54 1 ==> 1
% 15.13/15.54 end
% 15.13/15.54
% 15.13/15.54 subsumption: (116) {G0,W5,D2,L1,V0,M1} I { circle( skol27, skol25, skol20,
% 15.13/15.54 skol26 ) }.
% 15.13/15.54 parent0: (56413) {G0,W5,D2,L1,V0,M1} { circle( skol27, skol25, skol20,
% 15.13/15.54 skol26 ) }.
% 15.13/15.54 substitution0:
% 15.13/15.54 end
% 15.13/15.54 permutation0:
% 15.13/15.54 0 ==> 0
% 15.13/15.54 end
% 15.13/15.54
% 15.13/15.54 subsumption: (122) {G0,W5,D2,L1,V0,M1} I { ! para( skol22, skol20, skol23,
% 15.13/15.54 skol24 ) }.
% 15.13/15.54 parent0: (56419) {G0,W5,D2,L1,V0,M1} { ! para( skol22, skol20, skol23,
% 15.13/15.54 skol24 ) }.
% 15.13/15.54 substitution0:
% 15.13/15.54 end
% 15.13/15.54 permutation0:
% 15.13/15.54 0 ==> 0
% 15.13/15.54 end
% 15.13/15.54
% 15.13/15.54 factor: (56777) {G0,W9,D2,L2,V3,M2} { ! perp( X, Y, X, Z ), alpha1( X, X,
% 15.13/15.54 Z ) }.
% 15.13/15.54 parent0[0, 1]: (96) {G0,W14,D2,L3,V4,M3} I { ! perp( X, T, Y, Z ), ! perp(
% 15.13/15.54 Y, T, X, Z ), alpha1( X, Y, Z ) }.
% 15.13/15.54 substitution0:
% 15.13/15.54 X := X
% 15.13/15.54 Y := X
% 15.13/15.54 Z := Z
% 15.13/15.54 T := Y
% 15.13/15.54 end
% 15.13/15.54
% 15.13/15.54 subsumption: (152) {G1,W9,D2,L2,V3,M2} F(96) { ! perp( X, Y, X, Z ), alpha1
% 15.13/15.54 ( X, X, Z ) }.
% 15.13/15.54 parent0: (56777) {G0,W9,D2,L2,V3,M2} { ! perp( X, Y, X, Z ), alpha1( X, X
% 15.13/15.54 , Z ) }.
% 15.13/15.54 substitution0:
% 15.13/15.54 X := X
% 15.13/15.54 Y := Y
% 15.13/15.54 Z := Z
% 15.13/15.54 end
% 15.13/15.54 permutation0:
% 15.13/15.54 0 ==> 0
% 15.13/15.54 1 ==> 1
% 15.13/15.54 end
% 15.13/15.54
% 15.13/15.54 resolution: (56781) {G1,W12,D2,L3,V4,M3} { coll( X, Z, Y ), ! coll( Z, T,
% 15.13/15.54 X ), ! coll( Z, T, Y ) }.
% 15.13/15.54 parent0[0]: (0) {G0,W8,D2,L2,V3,M2} I { ! coll( X, Y, Z ), coll( X, Z, Y )
% 15.13/15.54 }.
% 15.13/15.54 parent1[2]: (2) {G0,W12,D2,L3,V4,M3} I { ! coll( X, T, Y ), ! coll( X, T, Z
% 15.13/15.54 ), coll( Y, Z, X ) }.
% 15.13/15.54 substitution0:
% 15.13/15.54 X := X
% 15.13/15.54 Y := Y
% 15.13/15.54 Z := Z
% 15.13/15.54 end
% 15.13/15.54 substitution1:
% 15.13/15.54 X := Z
% 15.13/15.54 Y := X
% 15.13/15.54 Z := Y
% 15.13/15.54 T := T
% 15.13/15.54 end
% 15.13/15.54
% 15.13/15.54 subsumption: (189) {G1,W12,D2,L3,V4,M3} R(2,0) { ! coll( X, Y, Z ), ! coll
% 15.13/15.54 ( X, Y, T ), coll( Z, X, T ) }.
% 15.13/15.54 parent0: (56781) {G1,W12,D2,L3,V4,M3} { coll( X, Z, Y ), ! coll( Z, T, X )
% 15.13/15.54 , ! coll( Z, T, Y ) }.
% 15.13/15.54 substitution0:
% 15.13/15.54 X := Z
% 15.13/15.54 Y := T
% 15.13/15.54 Z := X
% 15.13/15.54 T := Y
% 15.13/15.54 end
% 15.13/15.54 permutation0:
% 15.13/15.54 0 ==> 2
% 15.13/15.54 1 ==> 0
% 15.13/15.54 2 ==> 1
% 15.13/15.54 end
% 15.13/15.54
% 15.13/15.54 factor: (56783) {G1,W8,D2,L2,V3,M2} { ! coll( X, Y, Z ), coll( Z, X, Z )
% 15.13/15.54 }.
% 15.13/15.54 parent0[0, 1]: (189) {G1,W12,D2,L3,V4,M3} R(2,0) { ! coll( X, Y, Z ), !
% 15.13/15.54 coll( X, Y, T ), coll( Z, X, T ) }.
% 15.13/15.54 substitution0:
% 15.13/15.54 X := X
% 15.13/15.54 Y := Y
% 15.13/15.54 Z := Z
% 15.13/15.54 T := Z
% 15.13/15.54 end
% 15.13/15.54
% 15.13/15.54 subsumption: (194) {G2,W8,D2,L2,V3,M2} F(189) { ! coll( X, Y, Z ), coll( Z
% 15.13/15.54 , X, Z ) }.
% 15.13/15.54 parent0: (56783) {G1,W8,D2,L2,V3,M2} { ! coll( X, Y, Z ), coll( Z, X, Z )
% 15.13/15.54 }.
% 15.13/15.54 substitution0:
% 15.13/15.54 X := X
% 15.13/15.54 Y := Y
% 15.13/15.54 Z := Z
% 15.13/15.54 end
% 15.13/15.54 permutation0:
% 15.13/15.54 0 ==> 0
% 15.13/15.54 1 ==> 1
% 15.13/15.54 end
% 15.13/15.54
% 15.13/15.54 resolution: (56784) {G1,W12,D2,L3,V4,M3} { coll( Z, X, Z ), ! coll( Z, T,
% 15.13/15.54 X ), ! coll( Z, T, Y ) }.
% 15.13/15.54 parent0[0]: (194) {G2,W8,D2,L2,V3,M2} F(189) { ! coll( X, Y, Z ), coll( Z,
% 15.13/15.54 X, Z ) }.
% 15.13/15.54 parent1[2]: (2) {G0,W12,D2,L3,V4,M3} I { ! coll( X, T, Y ), ! coll( X, T, Z
% 15.13/15.54 ), coll( Y, Z, X ) }.
% 15.13/15.54 substitution0:
% 15.13/15.54 X := X
% 15.13/15.54 Y := Y
% 15.13/15.54 Z := Z
% 15.13/15.54 end
% 15.13/15.54 substitution1:
% 15.13/15.54 X := Z
% 15.13/15.54 Y := X
% 15.13/15.54 Z := Y
% 15.13/15.54 T := T
% 15.13/15.54 end
% 15.13/15.54
% 15.13/15.54 subsumption: (212) {G3,W12,D2,L3,V4,M3} R(194,2) { coll( X, Y, X ), ! coll
% 15.13/15.54 ( X, Z, Y ), ! coll( X, Z, T ) }.
% 15.13/15.54 parent0: (56784) {G1,W12,D2,L3,V4,M3} { coll( Z, X, Z ), ! coll( Z, T, X )
% 15.13/15.54 , ! coll( Z, T, Y ) }.
% 15.13/15.54 substitution0:
% 15.13/15.54 X := Y
% 15.13/15.54 Y := Y
% 15.13/15.54 Z := X
% 15.13/15.54 T := Z
% 15.13/15.54 end
% 15.13/15.54 permutation0:
% 15.13/15.54 0 ==> 0
% 15.13/15.54 1 ==> 1
% 15.13/15.54 2 ==> 1
% 15.13/15.54 end
% 15.13/15.54
% 15.13/15.54 factor: (56786) {G3,W8,D2,L2,V3,M2} { coll( X, Y, X ), ! coll( X, Z, Y )
% 15.13/15.54 }.
% 15.13/15.54 parent0[1, 2]: (212) {G3,W12,D2,L3,V4,M3} R(194,2) { coll( X, Y, X ), !
% 15.13/15.54 coll( X, Z, Y ), ! coll( X, Z, T ) }.
% 15.13/15.54 substitution0:
% 15.13/15.54 X := X
% 15.13/15.54 Y := Y
% 15.13/15.54 Z := Z
% 15.13/15.54 T := Y
% 15.13/15.54 end
% 15.13/15.54
% 15.13/15.54 subsumption: (225) {G4,W8,D2,L2,V3,M2} F(212) { coll( X, Y, X ), ! coll( X
% 15.13/15.54 , Z, Y ) }.
% 15.13/15.54 parent0: (56786) {G3,W8,D2,L2,V3,M2} { coll( X, Y, X ), ! coll( X, Z, Y )
% 15.13/15.54 }.
% 15.13/15.54 substitution0:
% 15.13/15.54 X := X
% 15.13/15.54 Y := Y
% 15.13/15.54 Z := Z
% 15.13/15.54 end
% 15.13/15.54 permutation0:
% 15.13/15.54 0 ==> 0
% 15.13/15.54 1 ==> 1
% 15.13/15.54 end
% 15.13/15.54
% 15.13/15.54 resolution: (56787) {G1,W5,D2,L1,V0,M1} { ! para( skol23, skol24, skol22,
% 15.13/15.54 skol20 ) }.
% 15.13/15.54 parent0[0]: (122) {G0,W5,D2,L1,V0,M1} I { ! para( skol22, skol20, skol23,
% 15.13/15.54 skol24 ) }.
% 15.13/15.54 parent1[1]: (4) {G0,W10,D2,L2,V4,M2} I { ! para( X, Y, Z, T ), para( Z, T,
% 15.13/15.54 X, Y ) }.
% 15.13/15.54 substitution0:
% 15.13/15.54 end
% 15.13/15.54 substitution1:
% 15.13/15.54 X := skol23
% 15.13/15.54 Y := skol24
% 15.13/15.54 Z := skol22
% 15.13/15.54 T := skol20
% 15.13/15.54 end
% 15.13/15.54
% 15.13/15.54 subsumption: (233) {G1,W5,D2,L1,V0,M1} R(4,122) { ! para( skol23, skol24,
% 15.13/15.54 skol22, skol20 ) }.
% 15.13/15.54 parent0: (56787) {G1,W5,D2,L1,V0,M1} { ! para( skol23, skol24, skol22,
% 15.13/15.54 skol20 ) }.
% 15.13/15.54 substitution0:
% 15.13/15.54 end
% 15.13/15.54 permutation0:
% 15.13/15.54 0 ==> 0
% 15.13/15.54 end
% 15.13/15.54
% 15.13/15.54 resolution: (56788) {G1,W15,D2,L3,V6,M3} { ! perp( Z, T, U, W ), para( X,
% 15.13/15.54 Y, U, W ), ! perp( Z, T, X, Y ) }.
% 15.13/15.54 parent0[0]: (8) {G0,W15,D2,L3,V6,M3} I { ! perp( X, Y, U, W ), ! perp( U, W
% 15.13/15.54 , Z, T ), para( X, Y, Z, T ) }.
% 15.13/15.54 parent1[1]: (7) {G0,W10,D2,L2,V4,M2} I { ! perp( X, Y, Z, T ), perp( Z, T,
% 15.13/15.54 X, Y ) }.
% 15.13/15.54 substitution0:
% 15.13/15.54 X := X
% 15.13/15.54 Y := Y
% 15.13/15.54 Z := U
% 15.13/15.54 T := W
% 15.13/15.54 U := Z
% 15.13/15.54 W := T
% 15.13/15.54 end
% 15.13/15.54 substitution1:
% 15.13/15.54 X := Z
% 15.13/15.54 Y := T
% 15.13/15.54 Z := X
% 15.13/15.54 T := Y
% 15.13/15.54 end
% 15.13/15.54
% 15.13/15.54 subsumption: (278) {G1,W15,D2,L3,V6,M3} R(8,7) { ! perp( X, Y, Z, T ), para
% 15.13/15.54 ( U, W, Z, T ), ! perp( X, Y, U, W ) }.
% 15.13/15.54 parent0: (56788) {G1,W15,D2,L3,V6,M3} { ! perp( Z, T, U, W ), para( X, Y,
% 15.13/15.54 U, W ), ! perp( Z, T, X, Y ) }.
% 15.13/15.54 substitution0:
% 15.13/15.54 X := U
% 15.13/15.54 Y := W
% 15.13/15.54 Z := X
% 15.13/15.54 T := Y
% 15.13/15.54 U := Z
% 15.13/15.54 W := T
% 15.13/15.54 end
% 15.13/15.54 permutation0:
% 15.13/15.54 0 ==> 0
% 15.13/15.54 1 ==> 1
% 15.13/15.54 2 ==> 2
% 15.13/15.54 end
% 15.13/15.54
% 15.13/15.54 resolution: (56793) {G1,W15,D2,L3,V6,M3} { ! perp( X, Y, Z, T ), para( X,
% 15.13/15.54 Y, U, W ), ! perp( U, W, Z, T ) }.
% 15.13/15.54 parent0[1]: (8) {G0,W15,D2,L3,V6,M3} I { ! perp( X, Y, U, W ), ! perp( U, W
% 15.13/15.54 , Z, T ), para( X, Y, Z, T ) }.
% 15.13/15.54 parent1[1]: (7) {G0,W10,D2,L2,V4,M2} I { ! perp( X, Y, Z, T ), perp( Z, T,
% 15.13/15.54 X, Y ) }.
% 15.13/15.54 substitution0:
% 15.13/15.54 X := X
% 15.13/15.54 Y := Y
% 15.13/15.54 Z := U
% 15.13/15.54 T := W
% 15.13/15.54 U := Z
% 15.13/15.54 W := T
% 15.13/15.54 end
% 15.13/15.54 substitution1:
% 15.13/15.54 X := U
% 15.13/15.54 Y := W
% 15.13/15.54 Z := Z
% 15.13/15.54 T := T
% 15.13/15.54 end
% 15.13/15.54
% 15.13/15.54 subsumption: (279) {G1,W15,D2,L3,V6,M3} R(8,7) { ! perp( X, Y, Z, T ), para
% 15.13/15.54 ( X, Y, U, W ), ! perp( U, W, Z, T ) }.
% 15.13/15.54 parent0: (56793) {G1,W15,D2,L3,V6,M3} { ! perp( X, Y, Z, T ), para( X, Y,
% 15.13/15.54 U, W ), ! perp( U, W, Z, T ) }.
% 15.13/15.54 substitution0:
% 15.13/15.54 X := X
% 15.13/15.54 Y := Y
% 15.13/15.54 Z := Z
% 15.13/15.54 T := T
% 15.13/15.54 U := U
% 15.13/15.54 W := W
% 15.13/15.54 end
% 15.13/15.54 permutation0:
% 15.13/15.54 0 ==> 0
% 15.13/15.54 1 ==> 1
% 15.13/15.54 2 ==> 2
% 15.13/15.54 end
% 15.13/15.54
% 15.13/15.54 factor: (56796) {G1,W10,D2,L2,V4,M2} { ! perp( X, Y, Z, T ), para( X, Y, X
% 15.13/15.54 , Y ) }.
% 15.13/15.54 parent0[0, 2]: (279) {G1,W15,D2,L3,V6,M3} R(8,7) { ! perp( X, Y, Z, T ),
% 15.13/15.54 para( X, Y, U, W ), ! perp( U, W, Z, T ) }.
% 15.13/15.54 substitution0:
% 15.13/15.54 X := X
% 15.13/15.54 Y := Y
% 15.13/15.54 Z := Z
% 15.13/15.54 T := T
% 15.13/15.54 U := X
% 15.13/15.54 W := Y
% 15.13/15.54 end
% 15.13/15.54
% 15.13/15.54 subsumption: (293) {G2,W10,D2,L2,V4,M2} F(279) { ! perp( X, Y, Z, T ), para
% 15.13/15.54 ( X, Y, X, Y ) }.
% 15.13/15.54 parent0: (56796) {G1,W10,D2,L2,V4,M2} { ! perp( X, Y, Z, T ), para( X, Y,
% 15.13/15.54 X, Y ) }.
% 15.13/15.54 substitution0:
% 15.13/15.54 X := X
% 15.13/15.54 Y := Y
% 15.13/15.54 Z := Z
% 15.13/15.54 T := T
% 15.13/15.54 end
% 15.13/15.54 permutation0:
% 15.13/15.54 0 ==> 0
% 15.13/15.54 1 ==> 1
% 15.13/15.54 end
% 15.13/15.54
% 15.13/15.54 resolution: (56798) {G1,W10,D2,L2,V4,M2} { cyclic( X, Y, T, Z ), ! cyclic
% 15.13/15.54 ( X, Z, Y, T ) }.
% 15.13/15.54 parent0[0]: (13) {G0,W10,D2,L2,V4,M2} I { ! cyclic( X, Y, Z, T ), cyclic( X
% 15.13/15.54 , Y, T, Z ) }.
% 15.13/15.54 parent1[1]: (14) {G0,W10,D2,L2,V4,M2} I { ! cyclic( X, Y, Z, T ), cyclic( X
% 15.13/15.54 , Z, Y, T ) }.
% 15.13/15.54 substitution0:
% 15.13/15.54 X := X
% 15.13/15.54 Y := Y
% 15.13/15.54 Z := Z
% 15.13/15.54 T := T
% 15.13/15.54 end
% 15.13/15.54 substitution1:
% 15.13/15.54 X := X
% 15.13/15.54 Y := Z
% 15.13/15.54 Z := Y
% 15.13/15.54 T := T
% 15.13/15.54 end
% 15.13/15.54
% 15.13/15.54 subsumption: (352) {G1,W10,D2,L2,V4,M2} R(14,13) { ! cyclic( X, Y, Z, T ),
% 15.13/15.54 cyclic( X, Z, T, Y ) }.
% 15.13/15.54 parent0: (56798) {G1,W10,D2,L2,V4,M2} { cyclic( X, Y, T, Z ), ! cyclic( X
% 15.13/15.54 , Z, Y, T ) }.
% 15.13/15.54 substitution0:
% 15.13/15.54 X := X
% 15.13/15.54 Y := Z
% 15.13/15.54 Z := Y
% 15.13/15.54 T := T
% 15.13/15.54 end
% 15.13/15.54 permutation0:
% 15.13/15.54 0 ==> 1
% 15.13/15.54 1 ==> 0
% 15.13/15.54 end
% 15.13/15.54
% 15.13/15.54 resolution: (56799) {G1,W10,D2,L2,V4,M2} { cyclic( Y, X, Z, T ), ! cyclic
% 15.13/15.54 ( X, Z, Y, T ) }.
% 15.13/15.54 parent0[0]: (15) {G0,W10,D2,L2,V4,M2} I { ! cyclic( X, Y, Z, T ), cyclic( Y
% 15.13/15.54 , X, Z, T ) }.
% 15.13/15.54 parent1[1]: (14) {G0,W10,D2,L2,V4,M2} I { ! cyclic( X, Y, Z, T ), cyclic( X
% 15.13/15.54 , Z, Y, T ) }.
% 15.13/15.54 substitution0:
% 15.13/15.54 X := X
% 15.13/15.54 Y := Y
% 15.13/15.54 Z := Z
% 15.13/15.54 T := T
% 15.13/15.54 end
% 15.13/15.54 substitution1:
% 15.13/15.54 X := X
% 15.13/15.54 Y := Z
% 15.13/15.54 Z := Y
% 15.13/15.54 T := T
% 15.13/15.54 end
% 15.13/15.54
% 15.13/15.54 subsumption: (369) {G1,W10,D2,L2,V4,M2} R(15,14) { cyclic( X, Y, Z, T ), !
% 15.13/15.54 cyclic( Y, Z, X, T ) }.
% 15.13/15.54 parent0: (56799) {G1,W10,D2,L2,V4,M2} { cyclic( Y, X, Z, T ), ! cyclic( X
% 15.13/15.54 , Z, Y, T ) }.
% 15.13/15.54 substitution0:
% 15.13/15.54 X := Y
% 15.13/15.54 Y := X
% 15.13/15.54 Z := Z
% 15.13/15.54 T := T
% 15.13/15.54 end
% 15.13/15.54 permutation0:
% 15.13/15.54 0 ==> 0
% 15.13/15.54 1 ==> 1
% 15.13/15.54 end
% 15.13/15.54
% 15.13/15.54 resolution: (56800) {G1,W10,D2,L2,V4,M2} { cyclic( Y, X, Z, T ), ! cyclic
% 15.13/15.54 ( X, Y, T, Z ) }.
% 15.13/15.54 parent0[0]: (15) {G0,W10,D2,L2,V4,M2} I { ! cyclic( X, Y, Z, T ), cyclic( Y
% 15.13/15.54 , X, Z, T ) }.
% 15.13/15.54 parent1[1]: (13) {G0,W10,D2,L2,V4,M2} I { ! cyclic( X, Y, Z, T ), cyclic( X
% 15.13/15.54 , Y, T, Z ) }.
% 15.13/15.54 substitution0:
% 15.13/15.54 X := X
% 15.13/15.54 Y := Y
% 15.13/15.54 Z := Z
% 15.13/15.54 T := T
% 15.13/15.54 end
% 15.13/15.54 substitution1:
% 15.13/15.54 X := X
% 15.13/15.54 Y := Y
% 15.13/15.54 Z := T
% 15.13/15.54 T := Z
% 15.13/15.54 end
% 15.13/15.54
% 15.13/15.54 subsumption: (371) {G1,W10,D2,L2,V4,M2} R(15,13) { cyclic( X, Y, Z, T ), !
% 15.13/15.54 cyclic( Y, X, T, Z ) }.
% 15.13/15.54 parent0: (56800) {G1,W10,D2,L2,V4,M2} { cyclic( Y, X, Z, T ), ! cyclic( X
% 15.13/15.54 , Y, T, Z ) }.
% 15.13/15.54 substitution0:
% 15.13/15.54 X := Y
% 15.13/15.54 Y := X
% 15.13/15.54 Z := Z
% 15.13/15.54 T := T
% 15.13/15.54 end
% 15.13/15.54 permutation0:
% 15.13/15.54 0 ==> 0
% 15.13/15.54 1 ==> 1
% 15.13/15.54 end
% 15.13/15.54
% 15.13/15.54 resolution: (56804) {G1,W15,D2,L3,V5,M3} { cyclic( Y, X, Z, T ), ! cyclic
% 15.13/15.54 ( U, X, Y, Z ), ! cyclic( U, X, Y, T ) }.
% 15.13/15.54 parent0[0]: (15) {G0,W10,D2,L2,V4,M2} I { ! cyclic( X, Y, Z, T ), cyclic( Y
% 15.13/15.54 , X, Z, T ) }.
% 15.13/15.54 parent1[2]: (16) {G0,W15,D2,L3,V5,M3} I { ! cyclic( U, X, Y, Z ), ! cyclic
% 15.13/15.54 ( U, X, Y, T ), cyclic( X, Y, Z, T ) }.
% 15.13/15.54 substitution0:
% 15.13/15.54 X := X
% 15.13/15.54 Y := Y
% 15.13/15.54 Z := Z
% 15.13/15.54 T := T
% 15.13/15.54 end
% 15.13/15.54 substitution1:
% 15.13/15.54 X := X
% 15.13/15.54 Y := Y
% 15.13/15.54 Z := Z
% 15.13/15.54 T := T
% 15.13/15.54 U := U
% 15.13/15.54 end
% 15.13/15.54
% 15.13/15.54 subsumption: (396) {G1,W15,D2,L3,V5,M3} R(16,15) { ! cyclic( X, Y, Z, T ),
% 15.13/15.54 ! cyclic( X, Y, Z, U ), cyclic( Z, Y, T, U ) }.
% 15.13/15.54 parent0: (56804) {G1,W15,D2,L3,V5,M3} { cyclic( Y, X, Z, T ), ! cyclic( U
% 15.13/15.54 , X, Y, Z ), ! cyclic( U, X, Y, T ) }.
% 15.13/15.54 substitution0:
% 15.13/15.54 X := Y
% 15.13/15.54 Y := Z
% 15.13/15.54 Z := T
% 15.13/15.54 T := U
% 15.13/15.54 U := X
% 15.13/15.54 end
% 15.13/15.54 permutation0:
% 15.13/15.54 0 ==> 2
% 15.13/15.54 1 ==> 0
% 15.13/15.54 2 ==> 1
% 15.13/15.54 end
% 15.13/15.54
% 15.13/15.54 resolution: (56807) {G1,W15,D2,L3,V5,M3} { ! cyclic( X, Y, Z, T ), cyclic
% 15.13/15.54 ( Y, Z, T, U ), ! cyclic( X, Y, U, Z ) }.
% 15.13/15.54 parent0[1]: (16) {G0,W15,D2,L3,V5,M3} I { ! cyclic( U, X, Y, Z ), ! cyclic
% 15.13/15.54 ( U, X, Y, T ), cyclic( X, Y, Z, T ) }.
% 15.13/15.54 parent1[1]: (13) {G0,W10,D2,L2,V4,M2} I { ! cyclic( X, Y, Z, T ), cyclic( X
% 15.13/15.54 , Y, T, Z ) }.
% 15.13/15.54 substitution0:
% 15.13/15.54 X := Y
% 15.13/15.54 Y := Z
% 15.13/15.54 Z := T
% 15.13/15.54 T := U
% 15.13/15.54 U := X
% 15.13/15.54 end
% 15.13/15.54 substitution1:
% 15.13/15.54 X := X
% 15.13/15.54 Y := Y
% 15.13/15.54 Z := U
% 15.13/15.54 T := Z
% 15.13/15.54 end
% 15.13/15.54
% 15.13/15.54 subsumption: (401) {G1,W15,D2,L3,V5,M3} R(16,13) { ! cyclic( X, Y, Z, T ),
% 15.13/15.54 cyclic( Y, Z, T, U ), ! cyclic( X, Y, U, Z ) }.
% 15.13/15.54 parent0: (56807) {G1,W15,D2,L3,V5,M3} { ! cyclic( X, Y, Z, T ), cyclic( Y
% 15.13/15.54 , Z, T, U ), ! cyclic( X, Y, U, Z ) }.
% 15.13/15.54 substitution0:
% 15.13/15.54 X := X
% 15.13/15.54 Y := Y
% 15.13/15.54 Z := Z
% 15.13/15.54 T := T
% 15.13/15.54 U := U
% 15.13/15.54 end
% 15.13/15.54 permutation0:
% 15.13/15.54 0 ==> 0
% 15.13/15.54 1 ==> 1
% 15.13/15.54 2 ==> 2
% 15.13/15.54 end
% 15.13/15.54
% 15.13/15.54 factor: (56809) {G1,W10,D2,L2,V4,M2} { ! cyclic( X, Y, Z, T ), cyclic( Z,
% 15.13/15.54 Y, T, T ) }.
% 15.13/15.54 parent0[0, 1]: (396) {G1,W15,D2,L3,V5,M3} R(16,15) { ! cyclic( X, Y, Z, T )
% 15.13/15.54 , ! cyclic( X, Y, Z, U ), cyclic( Z, Y, T, U ) }.
% 15.13/15.54 substitution0:
% 15.13/15.54 X := X
% 15.13/15.54 Y := Y
% 15.13/15.54 Z := Z
% 15.13/15.54 T := T
% 15.13/15.54 U := T
% 15.13/15.54 end
% 15.13/15.54
% 15.13/15.54 subsumption: (405) {G2,W10,D2,L2,V4,M2} F(396) { ! cyclic( X, Y, Z, T ),
% 15.13/15.54 cyclic( Z, Y, T, T ) }.
% 15.13/15.54 parent0: (56809) {G1,W10,D2,L2,V4,M2} { ! cyclic( X, Y, Z, T ), cyclic( Z
% 15.13/15.54 , Y, T, T ) }.
% 15.13/15.54 substitution0:
% 15.13/15.54 X := X
% 15.13/15.54 Y := Y
% 15.13/15.54 Z := Z
% 15.13/15.54 T := T
% 15.13/15.54 end
% 15.13/15.54 permutation0:
% 15.13/15.54 0 ==> 0
% 15.13/15.54 1 ==> 1
% 15.13/15.54 end
% 15.13/15.54
% 15.13/15.54 resolution: (56810) {G1,W10,D2,L2,V2,M2} { ! para( skol23, skol24, X, Y )
% 15.13/15.54 , ! para( X, Y, skol22, skol20 ) }.
% 15.13/15.54 parent0[0]: (233) {G1,W5,D2,L1,V0,M1} R(4,122) { ! para( skol23, skol24,
% 15.13/15.54 skol22, skol20 ) }.
% 15.13/15.54 parent1[2]: (5) {G0,W15,D2,L3,V6,M3} I { ! para( X, Y, U, W ), ! para( U, W
% 15.13/15.54 , Z, T ), para( X, Y, Z, T ) }.
% 15.13/15.54 substitution0:
% 15.13/15.54 end
% 15.13/15.54 substitution1:
% 15.13/15.54 X := skol23
% 15.13/15.54 Y := skol24
% 15.13/15.54 Z := skol22
% 15.13/15.54 T := skol20
% 15.13/15.54 U := X
% 15.13/15.54 W := Y
% 15.13/15.54 end
% 15.13/15.54
% 15.13/15.54 subsumption: (446) {G2,W10,D2,L2,V2,M2} R(233,5) { ! para( skol23, skol24,
% 15.13/15.54 X, Y ), ! para( X, Y, skol22, skol20 ) }.
% 15.13/15.54 parent0: (56810) {G1,W10,D2,L2,V2,M2} { ! para( skol23, skol24, X, Y ), !
% 15.13/15.54 para( X, Y, skol22, skol20 ) }.
% 15.13/15.54 substitution0:
% 15.13/15.54 X := X
% 15.13/15.54 Y := Y
% 15.13/15.54 end
% 15.13/15.54 permutation0:
% 15.13/15.54 0 ==> 0
% 15.13/15.54 1 ==> 1
% 15.13/15.54 end
% 15.13/15.54
% 15.13/15.54 resolution: (56812) {G1,W8,D2,L2,V3,M2} { coll( Y, X, X ), ! coll( X, Z, Y
% 15.13/15.54 ) }.
% 15.13/15.54 parent0[0]: (1) {G0,W8,D2,L2,V3,M2} I { ! coll( X, Y, Z ), coll( Y, X, Z )
% 15.13/15.54 }.
% 15.13/15.54 parent1[0]: (225) {G4,W8,D2,L2,V3,M2} F(212) { coll( X, Y, X ), ! coll( X,
% 15.13/15.54 Z, Y ) }.
% 15.13/15.54 substitution0:
% 15.13/15.54 X := X
% 15.13/15.54 Y := Y
% 15.13/15.54 Z := X
% 15.13/15.54 end
% 15.13/15.54 substitution1:
% 15.13/15.54 X := X
% 15.13/15.54 Y := Y
% 15.13/15.54 Z := Z
% 15.13/15.54 end
% 15.13/15.54
% 15.13/15.54 subsumption: (454) {G5,W8,D2,L2,V3,M2} R(225,1) { ! coll( X, Y, Z ), coll(
% 15.13/15.54 Z, X, X ) }.
% 15.13/15.54 parent0: (56812) {G1,W8,D2,L2,V3,M2} { coll( Y, X, X ), ! coll( X, Z, Y )
% 15.13/15.54 }.
% 15.13/15.54 substitution0:
% 15.13/15.54 X := X
% 15.13/15.54 Y := Z
% 15.13/15.54 Z := Y
% 15.13/15.54 end
% 15.13/15.54 permutation0:
% 15.13/15.54 0 ==> 1
% 15.13/15.54 1 ==> 0
% 15.13/15.54 end
% 15.13/15.54
% 15.13/15.54 resolution: (56813) {G1,W8,D2,L2,V3,M2} { coll( Z, X, X ), ! coll( Y, X, Z
% 15.13/15.54 ) }.
% 15.13/15.54 parent0[0]: (454) {G5,W8,D2,L2,V3,M2} R(225,1) { ! coll( X, Y, Z ), coll( Z
% 15.13/15.54 , X, X ) }.
% 15.13/15.54 parent1[1]: (1) {G0,W8,D2,L2,V3,M2} I { ! coll( X, Y, Z ), coll( Y, X, Z )
% 15.13/15.54 }.
% 15.13/15.54 substitution0:
% 15.13/15.54 X := X
% 15.13/15.54 Y := Y
% 15.13/15.54 Z := Z
% 15.13/15.54 end
% 15.13/15.54 substitution1:
% 15.13/15.54 X := Y
% 15.13/15.54 Y := X
% 15.13/15.54 Z := Z
% 15.13/15.54 end
% 15.13/15.54
% 15.13/15.54 subsumption: (462) {G6,W8,D2,L2,V3,M2} R(454,1) { coll( X, Y, Y ), ! coll(
% 15.13/15.54 Z, Y, X ) }.
% 15.13/15.54 parent0: (56813) {G1,W8,D2,L2,V3,M2} { coll( Z, X, X ), ! coll( Y, X, Z )
% 15.13/15.54 }.
% 15.13/15.54 substitution0:
% 15.13/15.54 X := Y
% 15.13/15.54 Y := Z
% 15.13/15.54 Z := X
% 15.13/15.54 end
% 15.13/15.54 permutation0:
% 15.13/15.54 0 ==> 0
% 15.13/15.54 1 ==> 1
% 15.13/15.54 end
% 15.13/15.54
% 15.13/15.54 resolution: (56814) {G1,W8,D2,L2,V3,M2} { coll( Z, X, X ), ! coll( X, Z, Y
% 15.13/15.54 ) }.
% 15.13/15.54 parent0[0]: (454) {G5,W8,D2,L2,V3,M2} R(225,1) { ! coll( X, Y, Z ), coll( Z
% 15.13/15.54 , X, X ) }.
% 15.13/15.54 parent1[1]: (0) {G0,W8,D2,L2,V3,M2} I { ! coll( X, Y, Z ), coll( X, Z, Y )
% 15.13/15.54 }.
% 15.13/15.54 substitution0:
% 15.13/15.54 X := X
% 15.13/15.54 Y := Y
% 15.13/15.54 Z := Z
% 15.13/15.54 end
% 15.13/15.54 substitution1:
% 15.13/15.54 X := X
% 15.13/15.54 Y := Z
% 15.13/15.54 Z := Y
% 15.13/15.54 end
% 15.13/15.54
% 15.13/15.54 subsumption: (463) {G6,W8,D2,L2,V3,M2} R(454,0) { coll( X, Y, Y ), ! coll(
% 15.13/15.54 Y, X, Z ) }.
% 15.13/15.54 parent0: (56814) {G1,W8,D2,L2,V3,M2} { coll( Z, X, X ), ! coll( X, Z, Y )
% 15.13/15.54 }.
% 15.13/15.54 substitution0:
% 15.13/15.54 X := Y
% 15.13/15.54 Y := Z
% 15.13/15.54 Z := X
% 15.13/15.54 end
% 15.13/15.54 permutation0:
% 15.13/15.54 0 ==> 0
% 15.13/15.54 1 ==> 1
% 15.13/15.54 end
% 15.13/15.54
% 15.13/15.54 resolution: (56816) {G6,W8,D2,L2,V3,M2} { coll( Y, X, X ), ! coll( Z, Y, X
% 15.13/15.54 ) }.
% 15.13/15.54 parent0[0]: (454) {G5,W8,D2,L2,V3,M2} R(225,1) { ! coll( X, Y, Z ), coll( Z
% 15.13/15.54 , X, X ) }.
% 15.13/15.54 parent1[0]: (462) {G6,W8,D2,L2,V3,M2} R(454,1) { coll( X, Y, Y ), ! coll( Z
% 15.13/15.54 , Y, X ) }.
% 15.13/15.54 substitution0:
% 15.13/15.54 X := X
% 15.13/15.54 Y := Y
% 15.13/15.54 Z := Y
% 15.13/15.54 end
% 15.13/15.54 substitution1:
% 15.13/15.54 X := X
% 15.13/15.54 Y := Y
% 15.13/15.54 Z := Z
% 15.13/15.54 end
% 15.13/15.54
% 15.13/15.54 subsumption: (464) {G7,W8,D2,L2,V3,M2} R(462,454) { ! coll( X, Y, Z ), coll
% 15.13/15.54 ( Y, Z, Z ) }.
% 15.13/15.54 parent0: (56816) {G6,W8,D2,L2,V3,M2} { coll( Y, X, X ), ! coll( Z, Y, X )
% 15.13/15.54 }.
% 15.13/15.54 substitution0:
% 15.13/15.54 X := Z
% 15.13/15.54 Y := Y
% 15.13/15.54 Z := X
% 15.13/15.54 end
% 15.13/15.54 permutation0:
% 15.13/15.54 0 ==> 1
% 15.13/15.54 1 ==> 0
% 15.13/15.54 end
% 15.13/15.54
% 15.13/15.54 resolution: (56817) {G7,W8,D2,L2,V3,M2} { coll( X, Y, Y ), ! coll( X, Y, Z
% 15.13/15.54 ) }.
% 15.13/15.54 parent0[1]: (463) {G6,W8,D2,L2,V3,M2} R(454,0) { coll( X, Y, Y ), ! coll( Y
% 15.13/15.54 , X, Z ) }.
% 15.13/15.54 parent1[0]: (463) {G6,W8,D2,L2,V3,M2} R(454,0) { coll( X, Y, Y ), ! coll( Y
% 15.13/15.54 , X, Z ) }.
% 15.13/15.54 substitution0:
% 15.13/15.54 X := X
% 15.13/15.54 Y := Y
% 15.13/15.54 Z := X
% 15.13/15.54 end
% 15.13/15.54 substitution1:
% 15.13/15.54 X := Y
% 15.13/15.54 Y := X
% 15.13/15.54 Z := Z
% 15.13/15.54 end
% 15.13/15.54
% 15.13/15.54 subsumption: (467) {G7,W8,D2,L2,V3,M2} R(463,463) { ! coll( X, Y, Z ), coll
% 15.13/15.54 ( X, Y, Y ) }.
% 15.13/15.54 parent0: (56817) {G7,W8,D2,L2,V3,M2} { coll( X, Y, Y ), ! coll( X, Y, Z )
% 15.13/15.54 }.
% 15.13/15.54 substitution0:
% 15.13/15.54 X := X
% 15.13/15.54 Y := Y
% 15.13/15.54 Z := Z
% 15.13/15.54 end
% 15.13/15.54 permutation0:
% 15.13/15.54 0 ==> 1
% 15.13/15.54 1 ==> 0
% 15.13/15.54 end
% 15.13/15.54
% 15.13/15.54 resolution: (56821) {G1,W12,D2,L3,V4,M3} { ! coll( X, Y, Z ), coll( Z, Y,
% 15.13/15.54 X ), ! coll( X, Y, T ) }.
% 15.13/15.54 parent0[1]: (2) {G0,W12,D2,L3,V4,M3} I { ! coll( X, T, Y ), ! coll( X, T, Z
% 15.13/15.54 ), coll( Y, Z, X ) }.
% 15.13/15.54 parent1[1]: (467) {G7,W8,D2,L2,V3,M2} R(463,463) { ! coll( X, Y, Z ), coll
% 15.13/15.54 ( X, Y, Y ) }.
% 15.13/15.54 substitution0:
% 15.13/15.54 X := X
% 15.13/15.54 Y := Z
% 15.13/15.54 Z := Y
% 15.13/15.54 T := Y
% 15.13/15.54 end
% 15.13/15.54 substitution1:
% 15.13/15.54 X := X
% 15.13/15.54 Y := Y
% 15.13/15.54 Z := T
% 15.13/15.54 end
% 15.13/15.54
% 15.13/15.54 subsumption: (482) {G8,W12,D2,L3,V4,M3} R(467,2) { ! coll( X, Y, Z ), !
% 15.13/15.54 coll( X, Y, T ), coll( T, Y, X ) }.
% 15.13/15.54 parent0: (56821) {G1,W12,D2,L3,V4,M3} { ! coll( X, Y, Z ), coll( Z, Y, X )
% 15.13/15.54 , ! coll( X, Y, T ) }.
% 15.13/15.54 substitution0:
% 15.13/15.54 X := X
% 15.13/15.54 Y := Y
% 15.13/15.54 Z := T
% 15.13/15.54 T := Z
% 15.13/15.54 end
% 15.13/15.54 permutation0:
% 15.13/15.54 0 ==> 1
% 15.13/15.54 1 ==> 2
% 15.13/15.54 2 ==> 0
% 15.13/15.54 end
% 15.13/15.54
% 15.13/15.54 factor: (56824) {G8,W8,D2,L2,V3,M2} { ! coll( X, Y, Z ), coll( Z, Y, X )
% 15.13/15.54 }.
% 15.13/15.54 parent0[0, 1]: (482) {G8,W12,D2,L3,V4,M3} R(467,2) { ! coll( X, Y, Z ), !
% 15.13/15.54 coll( X, Y, T ), coll( T, Y, X ) }.
% 15.13/15.54 substitution0:
% 15.13/15.54 X := X
% 15.13/15.54 Y := Y
% 15.13/15.54 Z := Z
% 15.13/15.54 T := Z
% 15.13/15.54 end
% 15.13/15.54
% 15.13/15.54 subsumption: (483) {G9,W8,D2,L2,V3,M2} F(482) { ! coll( X, Y, Z ), coll( Z
% 15.13/15.54 , Y, X ) }.
% 15.13/15.54 parent0: (56824) {G8,W8,D2,L2,V3,M2} { ! coll( X, Y, Z ), coll( Z, Y, X )
% 15.13/15.54 }.
% 15.13/15.54 substitution0:
% 15.13/15.54 X := X
% 15.13/15.54 Y := Y
% 15.13/15.54 Z := Z
% 15.13/15.54 end
% 15.13/15.54 permutation0:
% 15.13/15.54 0 ==> 0
% 15.13/15.54 1 ==> 1
% 15.13/15.54 end
% 15.13/15.54
% 15.13/15.54 resolution: (56825) {G8,W8,D2,L2,V3,M2} { coll( Y, Y, X ), ! coll( Z, X, Y
% 15.13/15.54 ) }.
% 15.13/15.54 parent0[0]: (483) {G9,W8,D2,L2,V3,M2} F(482) { ! coll( X, Y, Z ), coll( Z,
% 15.13/15.54 Y, X ) }.
% 15.13/15.54 parent1[1]: (464) {G7,W8,D2,L2,V3,M2} R(462,454) { ! coll( X, Y, Z ), coll
% 15.13/15.54 ( Y, Z, Z ) }.
% 15.13/15.54 substitution0:
% 15.13/15.54 X := X
% 15.13/15.54 Y := Y
% 15.13/15.54 Z := Y
% 15.13/15.54 end
% 15.13/15.54 substitution1:
% 15.13/15.54 X := Z
% 15.13/15.54 Y := X
% 15.13/15.54 Z := Y
% 15.13/15.54 end
% 15.13/15.54
% 15.13/15.54 subsumption: (486) {G10,W8,D2,L2,V3,M2} R(483,464) { coll( X, X, Y ), !
% 15.13/15.54 coll( Z, Y, X ) }.
% 15.13/15.54 parent0: (56825) {G8,W8,D2,L2,V3,M2} { coll( Y, Y, X ), ! coll( Z, X, Y )
% 15.13/15.54 }.
% 15.13/15.54 substitution0:
% 15.13/15.54 X := Y
% 15.13/15.54 Y := X
% 15.13/15.54 Z := Z
% 15.13/15.54 end
% 15.13/15.54 permutation0:
% 15.13/15.54 0 ==> 0
% 15.13/15.54 1 ==> 1
% 15.13/15.54 end
% 15.13/15.54
% 15.13/15.54 resolution: (56826) {G1,W14,D2,L2,V6,M2} { eqangle( Z, T, X, Y, Z, T, U, W
% 15.13/15.54 ), ! para( X, Y, U, W ) }.
% 15.13/15.54 parent0[0]: (18) {G0,W18,D2,L2,V8,M2} I { ! eqangle( X, Y, Z, T, U, W, V0,
% 15.13/15.54 V1 ), eqangle( Z, T, X, Y, V0, V1, U, W ) }.
% 15.13/15.54 parent1[1]: (39) {G0,W14,D2,L2,V6,M2} I { ! para( X, Y, Z, T ), eqangle( X
% 15.13/15.54 , Y, U, W, Z, T, U, W ) }.
% 15.13/15.54 substitution0:
% 15.13/15.54 X := X
% 15.13/15.54 Y := Y
% 15.13/15.54 Z := Z
% 15.13/15.54 T := T
% 15.13/15.54 U := U
% 15.13/15.54 W := W
% 15.13/15.54 V0 := Z
% 15.13/15.54 V1 := T
% 15.13/15.54 end
% 15.13/15.54 substitution1:
% 15.13/15.54 X := X
% 15.13/15.54 Y := Y
% 15.13/15.54 Z := U
% 15.13/15.54 T := W
% 15.13/15.54 U := Z
% 15.13/15.54 W := T
% 15.13/15.54 end
% 15.13/15.54
% 15.13/15.54 subsumption: (798) {G1,W14,D2,L2,V6,M2} R(39,18) { ! para( X, Y, Z, T ),
% 15.13/15.54 eqangle( U, W, X, Y, U, W, Z, T ) }.
% 15.13/15.54 parent0: (56826) {G1,W14,D2,L2,V6,M2} { eqangle( Z, T, X, Y, Z, T, U, W )
% 15.13/15.54 , ! para( X, Y, U, W ) }.
% 15.13/15.54 substitution0:
% 15.13/15.54 X := X
% 15.13/15.54 Y := Y
% 15.13/15.54 Z := U
% 15.13/15.54 T := W
% 15.13/15.54 U := Z
% 15.13/15.54 W := T
% 15.13/15.54 end
% 15.13/15.54 permutation0:
% 15.13/15.54 0 ==> 1
% 15.13/15.54 1 ==> 0
% 15.13/15.54 end
% 15.13/15.54
% 15.13/15.54 resolution: (56827) {G1,W18,D2,L3,V4,M3} { ! coll( X, T, Z ), cyclic( Y, Z
% 15.13/15.54 , X, T ), ! eqangle( T, Y, T, Z, X, Y, X, Z ) }.
% 15.13/15.54 parent0[0]: (42) {G0,W18,D2,L3,V4,M3} I { ! eqangle( Z, X, Z, Y, T, X, T, Y
% 15.13/15.54 ), ! coll( Z, T, Y ), cyclic( X, Y, Z, T ) }.
% 15.13/15.54 parent1[1]: (19) {G0,W18,D2,L2,V8,M2} I { ! eqangle( X, Y, Z, T, U, W, V0,
% 15.13/15.54 V1 ), eqangle( U, W, V0, V1, X, Y, Z, T ) }.
% 15.13/15.54 substitution0:
% 15.13/15.54 X := Y
% 15.13/15.54 Y := Z
% 15.13/15.54 Z := X
% 15.13/15.54 T := T
% 15.13/15.54 end
% 15.13/15.54 substitution1:
% 15.13/15.54 X := T
% 15.13/15.54 Y := Y
% 15.13/15.54 Z := T
% 15.13/15.54 T := Z
% 15.13/15.54 U := X
% 15.13/15.54 W := Y
% 15.13/15.54 V0 := X
% 15.13/15.54 V1 := Z
% 15.13/15.54 end
% 15.13/15.54
% 15.13/15.54 subsumption: (849) {G1,W18,D2,L3,V4,M3} R(42,19) { ! coll( X, Y, Z ),
% 15.13/15.54 cyclic( T, Z, X, Y ), ! eqangle( Y, T, Y, Z, X, T, X, Z ) }.
% 15.13/15.54 parent0: (56827) {G1,W18,D2,L3,V4,M3} { ! coll( X, T, Z ), cyclic( Y, Z, X
% 15.13/15.54 , T ), ! eqangle( T, Y, T, Z, X, Y, X, Z ) }.
% 15.13/15.54 substitution0:
% 15.13/15.54 X := X
% 15.13/15.54 Y := T
% 15.13/15.54 Z := Z
% 15.13/15.54 T := Y
% 15.13/15.54 end
% 15.13/15.54 permutation0:
% 15.13/15.54 0 ==> 0
% 15.13/15.54 1 ==> 1
% 15.13/15.54 2 ==> 2
% 15.13/15.54 end
% 15.13/15.54
% 15.13/15.54 resolution: (56828) {G1,W25,D2,L5,V4,M5} { ! cyclic( X, Y, Z, X ), !
% 15.13/15.54 cyclic( X, Y, Z, Y ), ! cyclic( X, Y, Z, T ), cong( X, Y, X, Y ), !
% 15.13/15.54 cyclic( X, Y, Z, T ) }.
% 15.13/15.54 parent0[3]: (43) {G0,W29,D2,L5,V6,M5} I { ! cyclic( X, Y, U, Z ), ! cyclic
% 15.13/15.54 ( X, Y, U, T ), ! cyclic( X, Y, U, W ), ! eqangle( U, X, U, Y, W, Z, W, T
% 15.13/15.54 ), cong( X, Y, Z, T ) }.
% 15.13/15.54 parent1[1]: (40) {G0,W14,D2,L2,V4,M2} I { ! cyclic( X, Y, Z, T ), eqangle(
% 15.13/15.54 Z, X, Z, Y, T, X, T, Y ) }.
% 15.13/15.54 substitution0:
% 15.13/15.54 X := X
% 15.13/15.54 Y := Y
% 15.13/15.54 Z := X
% 15.13/15.54 T := Y
% 15.13/15.54 U := Z
% 15.13/15.54 W := T
% 15.13/15.54 end
% 15.13/15.54 substitution1:
% 15.13/15.54 X := X
% 15.13/15.54 Y := Y
% 15.13/15.54 Z := Z
% 15.13/15.54 T := T
% 15.13/15.54 end
% 15.13/15.54
% 15.13/15.54 factor: (56830) {G1,W20,D2,L4,V3,M4} { ! cyclic( X, Y, Z, X ), ! cyclic( X
% 15.13/15.54 , Y, Z, Y ), cong( X, Y, X, Y ), ! cyclic( X, Y, Z, X ) }.
% 15.13/15.54 parent0[0, 2]: (56828) {G1,W25,D2,L5,V4,M5} { ! cyclic( X, Y, Z, X ), !
% 15.13/15.54 cyclic( X, Y, Z, Y ), ! cyclic( X, Y, Z, T ), cong( X, Y, X, Y ), !
% 15.13/15.54 cyclic( X, Y, Z, T ) }.
% 15.13/15.54 substitution0:
% 15.13/15.54 X := X
% 15.13/15.54 Y := Y
% 15.13/15.54 Z := Z
% 15.13/15.54 T := X
% 15.13/15.54 end
% 15.13/15.54
% 15.13/15.54 subsumption: (939) {G1,W20,D2,L4,V4,M4} R(43,40);f { ! cyclic( X, Y, Z, X )
% 15.13/15.54 , ! cyclic( X, Y, Z, Y ), ! cyclic( X, Y, Z, T ), cong( X, Y, X, Y ) }.
% 15.13/15.54 parent0: (56830) {G1,W20,D2,L4,V3,M4} { ! cyclic( X, Y, Z, X ), ! cyclic(
% 15.13/15.54 X, Y, Z, Y ), cong( X, Y, X, Y ), ! cyclic( X, Y, Z, X ) }.
% 15.13/15.54 substitution0:
% 15.13/15.54 X := X
% 15.13/15.54 Y := Y
% 15.13/15.54 Z := Z
% 15.13/15.54 end
% 15.13/15.54 permutation0:
% 15.13/15.54 0 ==> 0
% 15.13/15.54 1 ==> 1
% 15.13/15.54 2 ==> 3
% 15.13/15.54 3 ==> 0
% 15.13/15.54 end
% 15.13/15.54
% 15.13/15.54 factor: (56835) {G1,W15,D2,L3,V3,M3} { ! cyclic( X, Y, Z, X ), ! cyclic( X
% 15.13/15.54 , Y, Z, Y ), cong( X, Y, X, Y ) }.
% 15.13/15.54 parent0[0, 2]: (939) {G1,W20,D2,L4,V4,M4} R(43,40);f { ! cyclic( X, Y, Z, X
% 15.13/15.54 ), ! cyclic( X, Y, Z, Y ), ! cyclic( X, Y, Z, T ), cong( X, Y, X, Y )
% 15.13/15.54 }.
% 15.13/15.54 substitution0:
% 15.13/15.54 X := X
% 15.13/15.54 Y := Y
% 15.13/15.54 Z := Z
% 15.13/15.54 T := X
% 15.13/15.54 end
% 15.13/15.54
% 15.13/15.54 subsumption: (971) {G2,W15,D2,L3,V3,M3} F(939) { ! cyclic( X, Y, Z, X ), !
% 15.13/15.54 cyclic( X, Y, Z, Y ), cong( X, Y, X, Y ) }.
% 15.13/15.54 parent0: (56835) {G1,W15,D2,L3,V3,M3} { ! cyclic( X, Y, Z, X ), ! cyclic(
% 15.13/15.54 X, Y, Z, Y ), cong( X, Y, X, Y ) }.
% 15.13/15.54 substitution0:
% 15.13/15.54 X := X
% 15.13/15.54 Y := Y
% 15.13/15.54 Z := Z
% 15.13/15.54 end
% 15.13/15.54 permutation0:
% 15.13/15.54 0 ==> 0
% 15.13/15.54 1 ==> 1
% 15.13/15.54 2 ==> 2
% 15.13/15.54 end
% 15.13/15.54
% 15.13/15.54 resolution: (56837) {G1,W7,D3,L1,V0,M1} { perp( skol12( skol25, skol27 ),
% 15.13/15.54 skol25, skol25, skol27 ) }.
% 15.13/15.54 parent0[0]: (100) {G0,W12,D3,L2,V4,M2} I { ! circle( Y, X, Z, T ), perp(
% 15.13/15.54 skol12( X, Y ), X, X, Y ) }.
% 15.13/15.54 parent1[0]: (116) {G0,W5,D2,L1,V0,M1} I { circle( skol27, skol25, skol20,
% 15.13/15.54 skol26 ) }.
% 15.13/15.54 substitution0:
% 15.13/15.54 X := skol25
% 15.13/15.54 Y := skol27
% 15.13/15.54 Z := skol20
% 15.13/15.54 T := skol26
% 15.13/15.54 end
% 15.13/15.54 substitution1:
% 15.13/15.54 end
% 15.13/15.54
% 15.13/15.54 subsumption: (4841) {G1,W7,D3,L1,V0,M1} R(100,116) { perp( skol12( skol25,
% 15.13/15.54 skol27 ), skol25, skol25, skol27 ) }.
% 15.13/15.54 parent0: (56837) {G1,W7,D3,L1,V0,M1} { perp( skol12( skol25, skol27 ),
% 15.13/15.54 skol25, skol25, skol27 ) }.
% 15.13/15.54 substitution0:
% 15.13/15.54 end
% 15.13/15.54 permutation0:
% 15.13/15.54 0 ==> 0
% 15.13/15.54 end
% 15.13/15.54
% 15.13/15.54 resolution: (56838) {G1,W7,D3,L1,V0,M1} { perp( skol25, skol27, skol12(
% 15.13/15.54 skol25, skol27 ), skol25 ) }.
% 15.13/15.54 parent0[0]: (7) {G0,W10,D2,L2,V4,M2} I { ! perp( X, Y, Z, T ), perp( Z, T,
% 15.13/15.54 X, Y ) }.
% 15.13/15.54 parent1[0]: (4841) {G1,W7,D3,L1,V0,M1} R(100,116) { perp( skol12( skol25,
% 15.13/15.54 skol27 ), skol25, skol25, skol27 ) }.
% 15.13/15.54 substitution0:
% 15.13/15.54 X := skol12( skol25, skol27 )
% 15.13/15.54 Y := skol25
% 15.13/15.54 Z := skol25
% 15.13/15.54 T := skol27
% 15.13/15.54 end
% 15.13/15.54 substitution1:
% 15.13/15.54 end
% 15.13/15.54
% 15.13/15.54 subsumption: (12196) {G2,W7,D3,L1,V0,M1} R(4841,7) { perp( skol25, skol27,
% 15.13/15.54 skol12( skol25, skol27 ), skol25 ) }.
% 15.13/15.54 parent0: (56838) {G1,W7,D3,L1,V0,M1} { perp( skol25, skol27, skol12(
% 15.13/15.54 skol25, skol27 ), skol25 ) }.
% 15.13/15.54 substitution0:
% 15.13/15.54 end
% 15.13/15.54 permutation0:
% 15.13/15.54 0 ==> 0
% 15.13/15.54 end
% 15.13/15.54
% 15.13/15.54 resolution: (56839) {G1,W7,D3,L1,V0,M1} { perp( skol25, skol27, skol25,
% 15.13/15.54 skol12( skol25, skol27 ) ) }.
% 15.13/15.54 parent0[0]: (6) {G0,W10,D2,L2,V4,M2} I { ! perp( X, Y, Z, T ), perp( X, Y,
% 15.13/15.54 T, Z ) }.
% 15.13/15.54 parent1[0]: (12196) {G2,W7,D3,L1,V0,M1} R(4841,7) { perp( skol25, skol27,
% 15.13/15.54 skol12( skol25, skol27 ), skol25 ) }.
% 15.13/15.54 substitution0:
% 15.13/15.54 X := skol25
% 15.13/15.54 Y := skol27
% 15.13/15.54 Z := skol12( skol25, skol27 )
% 15.13/15.54 T := skol25
% 15.13/15.54 end
% 15.13/15.54 substitution1:
% 15.13/15.54 end
% 15.13/15.54
% 15.13/15.54 subsumption: (12207) {G3,W7,D3,L1,V0,M1} R(12196,6) { perp( skol25, skol27
% 15.13/15.54 , skol25, skol12( skol25, skol27 ) ) }.
% 15.13/15.54 parent0: (56839) {G1,W7,D3,L1,V0,M1} { perp( skol25, skol27, skol25,
% 15.13/15.54 skol12( skol25, skol27 ) ) }.
% 15.13/15.54 substitution0:
% 15.13/15.54 end
% 15.13/15.54 permutation0:
% 15.13/15.54 0 ==> 0
% 15.13/15.54 end
% 15.13/15.54
% 15.13/15.54 resolution: (56840) {G1,W7,D3,L1,V0,M1} { perp( skol25, skol12( skol25,
% 15.13/15.54 skol27 ), skol25, skol27 ) }.
% 15.13/15.54 parent0[0]: (7) {G0,W10,D2,L2,V4,M2} I { ! perp( X, Y, Z, T ), perp( Z, T,
% 15.13/15.54 X, Y ) }.
% 15.13/15.54 parent1[0]: (12207) {G3,W7,D3,L1,V0,M1} R(12196,6) { perp( skol25, skol27,
% 15.13/15.54 skol25, skol12( skol25, skol27 ) ) }.
% 15.13/15.54 substitution0:
% 15.13/15.54 X := skol25
% 15.13/15.54 Y := skol27
% 15.13/15.54 Z := skol25
% 15.13/15.54 T := skol12( skol25, skol27 )
% 15.13/15.54 end
% 15.13/15.54 substitution1:
% 15.13/15.54 end
% 15.13/15.54
% 15.13/15.54 subsumption: (12217) {G4,W7,D3,L1,V0,M1} R(12207,7) { perp( skol25, skol12
% 15.13/15.54 ( skol25, skol27 ), skol25, skol27 ) }.
% 15.13/15.54 parent0: (56840) {G1,W7,D3,L1,V0,M1} { perp( skol25, skol12( skol25,
% 15.13/15.54 skol27 ), skol25, skol27 ) }.
% 15.13/15.54 substitution0:
% 15.13/15.54 end
% 15.13/15.54 permutation0:
% 15.13/15.54 0 ==> 0
% 15.13/15.54 end
% 15.13/15.54
% 15.13/15.54 resolution: (56841) {G2,W4,D2,L1,V0,M1} { alpha1( skol25, skol25, skol27 )
% 15.13/15.54 }.
% 15.13/15.54 parent0[0]: (152) {G1,W9,D2,L2,V3,M2} F(96) { ! perp( X, Y, X, Z ), alpha1
% 15.13/15.54 ( X, X, Z ) }.
% 15.13/15.54 parent1[0]: (12217) {G4,W7,D3,L1,V0,M1} R(12207,7) { perp( skol25, skol12(
% 15.13/15.54 skol25, skol27 ), skol25, skol27 ) }.
% 15.13/15.54 substitution0:
% 15.13/15.54 X := skol25
% 15.13/15.54 Y := skol12( skol25, skol27 )
% 15.13/15.54 Z := skol27
% 15.13/15.54 end
% 15.13/15.54 substitution1:
% 15.13/15.54 end
% 15.13/15.54
% 15.13/15.54 subsumption: (12220) {G5,W4,D2,L1,V0,M1} R(12217,152) { alpha1( skol25,
% 15.13/15.54 skol25, skol27 ) }.
% 15.13/15.54 parent0: (56841) {G2,W4,D2,L1,V0,M1} { alpha1( skol25, skol25, skol27 )
% 15.13/15.55 }.
% 15.13/15.55 substitution0:
% 15.13/15.55 end
% 15.13/15.55 permutation0:
% 15.13/15.55 0 ==> 0
% 15.13/15.55 end
% 15.13/15.55
% 15.13/15.55 resolution: (56842) {G1,W7,D3,L1,V1,M1} { coll( skol11( skol25, X, skol27
% 15.13/15.55 ), skol27, skol25 ) }.
% 15.13/15.55 parent0[0]: (97) {G0,W11,D3,L2,V4,M2} I { ! alpha1( X, Y, Z ), coll( skol11
% 15.13/15.55 ( X, T, Z ), Z, X ) }.
% 15.13/15.55 parent1[0]: (12220) {G5,W4,D2,L1,V0,M1} R(12217,152) { alpha1( skol25,
% 15.13/15.55 skol25, skol27 ) }.
% 15.13/15.55 substitution0:
% 15.13/15.55 X := skol25
% 15.13/15.55 Y := skol25
% 15.13/15.55 Z := skol27
% 15.13/15.55 T := X
% 15.13/15.55 end
% 15.13/15.55 substitution1:
% 15.13/15.55 end
% 15.13/15.55
% 15.13/15.55 subsumption: (12291) {G6,W7,D3,L1,V1,M1} R(12220,97) { coll( skol11( skol25
% 15.13/15.55 , X, skol27 ), skol27, skol25 ) }.
% 15.13/15.55 parent0: (56842) {G1,W7,D3,L1,V1,M1} { coll( skol11( skol25, X, skol27 ),
% 15.13/15.55 skol27, skol25 ) }.
% 15.13/15.55 substitution0:
% 15.13/15.55 X := X
% 15.13/15.55 end
% 15.13/15.55 permutation0:
% 15.13/15.55 0 ==> 0
% 15.13/15.55 end
% 15.13/15.55
% 15.13/15.55 resolution: (56843) {G7,W4,D2,L1,V0,M1} { coll( skol25, skol25, skol27 )
% 15.13/15.55 }.
% 15.13/15.55 parent0[1]: (486) {G10,W8,D2,L2,V3,M2} R(483,464) { coll( X, X, Y ), ! coll
% 15.13/15.55 ( Z, Y, X ) }.
% 15.13/15.55 parent1[0]: (12291) {G6,W7,D3,L1,V1,M1} R(12220,97) { coll( skol11( skol25
% 15.13/15.55 , X, skol27 ), skol27, skol25 ) }.
% 15.13/15.55 substitution0:
% 15.13/15.55 X := skol25
% 15.13/15.55 Y := skol27
% 15.13/15.55 Z := skol11( skol25, X, skol27 )
% 15.13/15.55 end
% 15.13/15.55 substitution1:
% 15.13/15.55 X := X
% 15.13/15.55 end
% 15.13/15.55
% 15.13/15.55 subsumption: (12315) {G11,W4,D2,L1,V0,M1} R(12291,486) { coll( skol25,
% 15.13/15.55 skol25, skol27 ) }.
% 15.13/15.55 parent0: (56843) {G7,W4,D2,L1,V0,M1} { coll( skol25, skol25, skol27 ) }.
% 15.13/15.55 substitution0:
% 15.13/15.55 end
% 15.13/15.55 permutation0:
% 15.13/15.55 0 ==> 0
% 15.13/15.55 end
% 15.13/15.55
% 15.13/15.55 resolution: (56844) {G3,W5,D2,L1,V0,M1} { para( skol25, skol27, skol25,
% 15.13/15.55 skol27 ) }.
% 15.13/15.55 parent0[0]: (293) {G2,W10,D2,L2,V4,M2} F(279) { ! perp( X, Y, Z, T ), para
% 15.13/15.55 ( X, Y, X, Y ) }.
% 15.13/15.55 parent1[0]: (12207) {G3,W7,D3,L1,V0,M1} R(12196,6) { perp( skol25, skol27,
% 15.13/15.55 skol25, skol12( skol25, skol27 ) ) }.
% 15.13/15.55 substitution0:
% 15.13/15.55 X := skol25
% 15.13/15.55 Y := skol27
% 15.13/15.55 Z := skol25
% 15.13/15.55 T := skol12( skol25, skol27 )
% 15.13/15.55 end
% 15.13/15.55 substitution1:
% 15.13/15.55 end
% 15.13/15.55
% 15.13/15.55 subsumption: (16118) {G4,W5,D2,L1,V0,M1} R(293,12207) { para( skol25,
% 15.13/15.55 skol27, skol25, skol27 ) }.
% 15.13/15.55 parent0: (56844) {G3,W5,D2,L1,V0,M1} { para( skol25, skol27, skol25,
% 15.13/15.55 skol27 ) }.
% 15.13/15.55 substitution0:
% 15.13/15.55 end
% 15.13/15.55 permutation0:
% 15.13/15.55 0 ==> 0
% 15.13/15.55 end
% 15.13/15.55
% 15.13/15.55 resolution: (56845) {G2,W9,D2,L1,V2,M1} { eqangle( X, Y, skol25, skol27, X
% 15.13/15.55 , Y, skol25, skol27 ) }.
% 15.13/15.55 parent0[0]: (798) {G1,W14,D2,L2,V6,M2} R(39,18) { ! para( X, Y, Z, T ),
% 15.13/15.55 eqangle( U, W, X, Y, U, W, Z, T ) }.
% 15.13/15.55 parent1[0]: (16118) {G4,W5,D2,L1,V0,M1} R(293,12207) { para( skol25, skol27
% 15.13/15.55 , skol25, skol27 ) }.
% 15.13/15.55 substitution0:
% 15.13/15.55 X := skol25
% 15.13/15.55 Y := skol27
% 15.13/15.55 Z := skol25
% 15.13/15.55 T := skol27
% 15.13/15.55 U := X
% 15.13/15.55 W := Y
% 15.13/15.55 end
% 15.13/15.55 substitution1:
% 15.13/15.55 end
% 15.13/15.55
% 15.13/15.55 subsumption: (47190) {G5,W9,D2,L1,V2,M1} R(798,16118) { eqangle( X, Y,
% 15.13/15.55 skol25, skol27, X, Y, skol25, skol27 ) }.
% 15.13/15.55 parent0: (56845) {G2,W9,D2,L1,V2,M1} { eqangle( X, Y, skol25, skol27, X, Y
% 15.13/15.55 , skol25, skol27 ) }.
% 15.13/15.55 substitution0:
% 15.13/15.55 X := X
% 15.13/15.55 Y := Y
% 15.13/15.55 end
% 15.13/15.55 permutation0:
% 15.13/15.55 0 ==> 0
% 15.13/15.55 end
% 15.13/15.55
% 15.13/15.55 resolution: (56846) {G2,W14,D2,L2,V1,M2} { cyclic( X, skol27, skol25,
% 15.13/15.55 skol25 ), ! eqangle( skol25, X, skol25, skol27, skol25, X, skol25, skol27
% 15.13/15.55 ) }.
% 15.13/15.55 parent0[0]: (849) {G1,W18,D2,L3,V4,M3} R(42,19) { ! coll( X, Y, Z ), cyclic
% 15.13/15.55 ( T, Z, X, Y ), ! eqangle( Y, T, Y, Z, X, T, X, Z ) }.
% 15.13/15.55 parent1[0]: (12315) {G11,W4,D2,L1,V0,M1} R(12291,486) { coll( skol25,
% 15.13/15.55 skol25, skol27 ) }.
% 15.13/15.55 substitution0:
% 15.13/15.55 X := skol25
% 15.13/15.55 Y := skol25
% 15.13/15.55 Z := skol27
% 15.13/15.55 T := X
% 15.13/15.55 end
% 15.13/15.55 substitution1:
% 15.13/15.55 end
% 15.13/15.55
% 15.13/15.55 resolution: (56847) {G3,W5,D2,L1,V1,M1} { cyclic( X, skol27, skol25,
% 15.13/15.55 skol25 ) }.
% 15.13/15.55 parent0[1]: (56846) {G2,W14,D2,L2,V1,M2} { cyclic( X, skol27, skol25,
% 15.13/15.55 skol25 ), ! eqangle( skol25, X, skol25, skol27, skol25, X, skol25, skol27
% 15.13/15.55 ) }.
% 15.13/15.55 parent1[0]: (47190) {G5,W9,D2,L1,V2,M1} R(798,16118) { eqangle( X, Y,
% 15.13/15.55 skol25, skol27, X, Y, skol25, skol27 ) }.
% 15.13/15.55 substitution0:
% 15.13/15.55 X := X
% 15.13/15.55 end
% 15.13/15.55 substitution1:
% 15.13/15.55 X := skol25
% 15.13/15.55 Y := X
% 15.13/15.55 end
% 15.13/15.55
% 15.13/15.55 subsumption: (50321) {G12,W5,D2,L1,V1,M1} R(849,12315);r(47190) { cyclic( X
% 15.13/15.55 , skol27, skol25, skol25 ) }.
% 15.13/15.55 parent0: (56847) {G3,W5,D2,L1,V1,M1} { cyclic( X, skol27, skol25, skol25 )
% 15.13/15.55 }.
% 15.13/15.55 substitution0:
% 15.13/15.55 X := X
% 15.13/15.55 end
% 15.13/15.55 permutation0:
% 15.13/15.55 0 ==> 0
% 15.13/15.55 end
% 15.13/15.55
% 15.13/15.55 resolution: (56848) {G2,W5,D2,L1,V1,M1} { cyclic( skol27, X, skol25,
% 15.13/15.55 skol25 ) }.
% 15.13/15.55 parent0[1]: (371) {G1,W10,D2,L2,V4,M2} R(15,13) { cyclic( X, Y, Z, T ), !
% 15.13/15.55 cyclic( Y, X, T, Z ) }.
% 15.13/15.55 parent1[0]: (50321) {G12,W5,D2,L1,V1,M1} R(849,12315);r(47190) { cyclic( X
% 15.13/15.55 , skol27, skol25, skol25 ) }.
% 15.13/15.55 substitution0:
% 15.13/15.55 X := skol27
% 15.13/15.55 Y := X
% 15.13/15.55 Z := skol25
% 15.13/15.55 T := skol25
% 15.13/15.55 end
% 15.13/15.55 substitution1:
% 15.13/15.55 X := X
% 15.13/15.55 end
% 15.13/15.55
% 15.13/15.55 subsumption: (50397) {G13,W5,D2,L1,V1,M1} R(50321,371) { cyclic( skol27, X
% 15.13/15.55 , skol25, skol25 ) }.
% 15.13/15.55 parent0: (56848) {G2,W5,D2,L1,V1,M1} { cyclic( skol27, X, skol25, skol25 )
% 15.13/15.55 }.
% 15.13/15.55 substitution0:
% 15.13/15.55 X := X
% 15.13/15.55 end
% 15.13/15.55 permutation0:
% 15.13/15.55 0 ==> 0
% 15.13/15.55 end
% 15.13/15.55
% 15.13/15.55 resolution: (56849) {G3,W5,D2,L1,V1,M1} { cyclic( skol25, X, skol25,
% 15.13/15.55 skol25 ) }.
% 15.13/15.55 parent0[0]: (405) {G2,W10,D2,L2,V4,M2} F(396) { ! cyclic( X, Y, Z, T ),
% 15.13/15.55 cyclic( Z, Y, T, T ) }.
% 15.13/15.55 parent1[0]: (50397) {G13,W5,D2,L1,V1,M1} R(50321,371) { cyclic( skol27, X,
% 15.13/15.55 skol25, skol25 ) }.
% 15.13/15.55 substitution0:
% 15.13/15.55 X := skol27
% 15.13/15.55 Y := X
% 15.13/15.55 Z := skol25
% 15.13/15.55 T := skol25
% 15.13/15.55 end
% 15.13/15.55 substitution1:
% 15.13/15.55 X := X
% 15.13/15.55 end
% 15.13/15.55
% 15.13/15.55 subsumption: (50409) {G14,W5,D2,L1,V1,M1} R(50397,405) { cyclic( skol25, X
% 15.13/15.55 , skol25, skol25 ) }.
% 15.13/15.55 parent0: (56849) {G3,W5,D2,L1,V1,M1} { cyclic( skol25, X, skol25, skol25 )
% 15.13/15.55 }.
% 15.13/15.55 substitution0:
% 15.13/15.55 X := X
% 15.13/15.55 end
% 15.13/15.55 permutation0:
% 15.13/15.55 0 ==> 0
% 15.13/15.55 end
% 15.13/15.55
% 15.13/15.55 resolution: (56850) {G2,W5,D2,L1,V1,M1} { cyclic( skol25, skol25, X,
% 15.13/15.55 skol25 ) }.
% 15.13/15.55 parent0[1]: (369) {G1,W10,D2,L2,V4,M2} R(15,14) { cyclic( X, Y, Z, T ), !
% 15.13/15.55 cyclic( Y, Z, X, T ) }.
% 15.13/15.55 parent1[0]: (50409) {G14,W5,D2,L1,V1,M1} R(50397,405) { cyclic( skol25, X,
% 15.13/15.55 skol25, skol25 ) }.
% 15.13/15.55 substitution0:
% 15.13/15.55 X := skol25
% 15.13/15.55 Y := skol25
% 15.13/15.55 Z := X
% 15.13/15.55 T := skol25
% 15.13/15.55 end
% 15.13/15.55 substitution1:
% 15.13/15.55 X := X
% 15.13/15.55 end
% 15.13/15.55
% 15.13/15.55 subsumption: (50431) {G15,W5,D2,L1,V1,M1} R(50409,369) { cyclic( skol25,
% 15.13/15.55 skol25, X, skol25 ) }.
% 15.13/15.55 parent0: (56850) {G2,W5,D2,L1,V1,M1} { cyclic( skol25, skol25, X, skol25 )
% 15.13/15.55 }.
% 15.13/15.55 substitution0:
% 15.13/15.55 X := X
% 15.13/15.55 end
% 15.13/15.55 permutation0:
% 15.13/15.55 0 ==> 0
% 15.13/15.55 end
% 15.13/15.55
% 15.13/15.55 resolution: (56851) {G2,W5,D2,L1,V1,M1} { cyclic( skol25, skol25, skol25,
% 15.13/15.55 X ) }.
% 15.13/15.55 parent0[0]: (352) {G1,W10,D2,L2,V4,M2} R(14,13) { ! cyclic( X, Y, Z, T ),
% 15.13/15.55 cyclic( X, Z, T, Y ) }.
% 15.13/15.55 parent1[0]: (50409) {G14,W5,D2,L1,V1,M1} R(50397,405) { cyclic( skol25, X,
% 15.13/15.55 skol25, skol25 ) }.
% 15.13/15.55 substitution0:
% 15.13/15.55 X := skol25
% 15.13/15.55 Y := X
% 15.13/15.55 Z := skol25
% 15.13/15.55 T := skol25
% 15.13/15.55 end
% 15.13/15.55 substitution1:
% 15.13/15.55 X := X
% 15.13/15.55 end
% 15.13/15.55
% 15.13/15.55 subsumption: (50432) {G15,W5,D2,L1,V1,M1} R(50409,352) { cyclic( skol25,
% 15.13/15.55 skol25, skol25, X ) }.
% 15.13/15.55 parent0: (56851) {G2,W5,D2,L1,V1,M1} { cyclic( skol25, skol25, skol25, X )
% 15.13/15.55 }.
% 15.13/15.55 substitution0:
% 15.13/15.55 X := X
% 15.13/15.55 end
% 15.13/15.55 permutation0:
% 15.13/15.55 0 ==> 0
% 15.13/15.55 end
% 15.13/15.55
% 15.13/15.55 resolution: (56853) {G2,W10,D2,L2,V2,M2} { ! cyclic( skol25, skol25,
% 15.13/15.55 skol25, X ), cyclic( skol25, skol25, X, Y ) }.
% 15.13/15.55 parent0[2]: (401) {G1,W15,D2,L3,V5,M3} R(16,13) { ! cyclic( X, Y, Z, T ),
% 15.13/15.55 cyclic( Y, Z, T, U ), ! cyclic( X, Y, U, Z ) }.
% 15.13/15.55 parent1[0]: (50431) {G15,W5,D2,L1,V1,M1} R(50409,369) { cyclic( skol25,
% 15.13/15.55 skol25, X, skol25 ) }.
% 15.13/15.55 substitution0:
% 15.13/15.55 X := skol25
% 15.13/15.55 Y := skol25
% 15.13/15.55 Z := skol25
% 15.13/15.55 T := X
% 15.13/15.55 U := Y
% 15.13/15.55 end
% 15.13/15.55 substitution1:
% 15.13/15.55 X := Y
% 15.13/15.55 end
% 15.13/15.55
% 15.13/15.55 resolution: (56854) {G3,W5,D2,L1,V2,M1} { cyclic( skol25, skol25, X, Y )
% 15.13/15.55 }.
% 15.13/15.55 parent0[0]: (56853) {G2,W10,D2,L2,V2,M2} { ! cyclic( skol25, skol25,
% 15.13/15.55 skol25, X ), cyclic( skol25, skol25, X, Y ) }.
% 15.13/15.55 parent1[0]: (50432) {G15,W5,D2,L1,V1,M1} R(50409,352) { cyclic( skol25,
% 15.13/15.55 skol25, skol25, X ) }.
% 15.13/15.55 substitution0:
% 15.13/15.55 X := X
% 15.13/15.55 Y := Y
% 15.13/15.55 end
% 15.13/15.55 substitution1:
% 15.13/15.55 X := X
% 15.13/15.55 end
% 15.13/15.55
% 15.13/15.55 subsumption: (50437) {G16,W5,D2,L1,V2,M1} R(50431,401);r(50432) { cyclic(
% 15.13/15.55 skol25, skol25, X, Y ) }.
% 15.13/15.55 parent0: (56854) {G3,W5,D2,L1,V2,M1} { cyclic( skol25, skol25, X, Y ) }.
% 15.13/15.55 substitution0:
% 15.13/15.55 X := X
% 15.13/15.55 Y := Y
% 15.13/15.55 end
% 15.13/15.55 permutation0:
% 15.13/15.55 0 ==> 0
% 15.13/15.55 end
% 15.13/15.55
% 15.13/15.55 resolution: (56855) {G2,W10,D2,L2,V3,M2} { cyclic( skol25, X, Y, Z ), !
% 15.13/15.55 cyclic( skol25, skol25, Z, X ) }.
% 15.13/15.55 parent0[0]: (401) {G1,W15,D2,L3,V5,M3} R(16,13) { ! cyclic( X, Y, Z, T ),
% 15.13/15.55 cyclic( Y, Z, T, U ), ! cyclic( X, Y, U, Z ) }.
% 15.13/15.55 parent1[0]: (50437) {G16,W5,D2,L1,V2,M1} R(50431,401);r(50432) { cyclic(
% 15.13/15.55 skol25, skol25, X, Y ) }.
% 15.13/15.55 substitution0:
% 15.13/15.55 X := skol25
% 15.13/15.55 Y := skol25
% 15.13/15.55 Z := X
% 15.13/15.55 T := Y
% 15.13/15.55 U := Z
% 15.13/15.55 end
% 15.13/15.55 substitution1:
% 15.13/15.55 X := X
% 15.13/15.55 Y := Y
% 15.13/15.55 end
% 15.13/15.55
% 15.13/15.55 resolution: (56857) {G3,W5,D2,L1,V3,M1} { cyclic( skol25, X, Y, Z ) }.
% 15.13/15.55 parent0[1]: (56855) {G2,W10,D2,L2,V3,M2} { cyclic( skol25, X, Y, Z ), !
% 15.13/15.55 cyclic( skol25, skol25, Z, X ) }.
% 15.13/15.55 parent1[0]: (50437) {G16,W5,D2,L1,V2,M1} R(50431,401);r(50432) { cyclic(
% 15.13/15.55 skol25, skol25, X, Y ) }.
% 15.13/15.55 substitution0:
% 15.13/15.55 X := X
% 15.13/15.55 Y := Y
% 15.13/15.55 Z := Z
% 15.13/15.55 end
% 15.13/15.55 substitution1:
% 15.13/15.55 X := Z
% 15.13/15.55 Y := X
% 15.13/15.55 end
% 15.13/15.55
% 15.13/15.55 subsumption: (50758) {G17,W5,D2,L1,V3,M1} R(50437,401);r(50437) { cyclic(
% 15.13/15.55 skol25, X, Y, Z ) }.
% 15.13/15.55 parent0: (56857) {G3,W5,D2,L1,V3,M1} { cyclic( skol25, X, Y, Z ) }.
% 15.13/15.55 substitution0:
% 15.13/15.55 X := X
% 15.13/15.55 Y := Y
% 15.13/15.55 Z := Z
% 15.13/15.55 end
% 15.13/15.55 permutation0:
% 15.13/15.55 0 ==> 0
% 15.13/15.55 end
% 15.13/15.55
% 15.13/15.55 resolution: (56858) {G2,W10,D2,L2,V4,M2} { cyclic( X, Y, Z, T ), ! cyclic
% 15.13/15.55 ( skol25, X, T, Y ) }.
% 15.13/15.55 parent0[0]: (401) {G1,W15,D2,L3,V5,M3} R(16,13) { ! cyclic( X, Y, Z, T ),
% 15.13/15.55 cyclic( Y, Z, T, U ), ! cyclic( X, Y, U, Z ) }.
% 15.13/15.55 parent1[0]: (50758) {G17,W5,D2,L1,V3,M1} R(50437,401);r(50437) { cyclic(
% 15.13/15.55 skol25, X, Y, Z ) }.
% 15.13/15.55 substitution0:
% 15.13/15.55 X := skol25
% 15.13/15.55 Y := X
% 15.13/15.55 Z := Y
% 15.13/15.55 T := Z
% 15.13/15.55 U := T
% 15.13/15.55 end
% 15.13/15.55 substitution1:
% 15.13/15.55 X := X
% 15.13/15.55 Y := Y
% 15.13/15.55 Z := Z
% 15.13/15.55 end
% 15.13/15.55
% 15.13/15.55 resolution: (56860) {G3,W5,D2,L1,V4,M1} { cyclic( X, Y, Z, T ) }.
% 15.13/15.55 parent0[1]: (56858) {G2,W10,D2,L2,V4,M2} { cyclic( X, Y, Z, T ), ! cyclic
% 15.13/15.55 ( skol25, X, T, Y ) }.
% 15.13/15.55 parent1[0]: (50758) {G17,W5,D2,L1,V3,M1} R(50437,401);r(50437) { cyclic(
% 15.13/15.55 skol25, X, Y, Z ) }.
% 15.13/15.55 substitution0:
% 15.13/15.55 X := X
% 15.13/15.55 Y := Y
% 15.13/15.55 Z := Z
% 15.13/15.55 T := T
% 15.13/15.55 end
% 15.13/15.55 substitution1:
% 15.13/15.55 X := X
% 15.13/15.55 Y := T
% 15.13/15.55 Z := Y
% 15.13/15.55 end
% 15.13/15.55
% 15.13/15.55 subsumption: (50777) {G18,W5,D2,L1,V4,M1} R(50758,401);r(50758) { cyclic( X
% 15.13/15.55 , Y, Z, T ) }.
% 15.13/15.55 parent0: (56860) {G3,W5,D2,L1,V4,M1} { cyclic( X, Y, Z, T ) }.
% 15.13/15.55 substitution0:
% 15.13/15.55 X := X
% 15.13/15.55 Y := Y
% 15.13/15.55 Z := Z
% 15.13/15.55 T := T
% 15.13/15.55 end
% 15.13/15.55 permutation0:
% 15.13/15.55 0 ==> 0
% 15.13/15.55 end
% 15.13/15.55
% 15.13/15.55 resolution: (56863) {G3,W10,D2,L2,V3,M2} { ! cyclic( X, Y, Z, Y ), cong( X
% 15.13/15.55 , Y, X, Y ) }.
% 15.13/15.55 parent0[0]: (971) {G2,W15,D2,L3,V3,M3} F(939) { ! cyclic( X, Y, Z, X ), !
% 15.13/15.55 cyclic( X, Y, Z, Y ), cong( X, Y, X, Y ) }.
% 15.13/15.55 parent1[0]: (50777) {G18,W5,D2,L1,V4,M1} R(50758,401);r(50758) { cyclic( X
% 15.13/15.55 , Y, Z, T ) }.
% 15.13/15.55 substitution0:
% 15.13/15.55 X := X
% 15.13/15.55 Y := Y
% 15.13/15.55 Z := Z
% 15.13/15.55 end
% 15.13/15.55 substitution1:
% 15.13/15.55 X := X
% 15.13/15.55 Y := Y
% 15.13/15.55 Z := Z
% 15.13/15.55 T := X
% 15.13/15.55 end
% 15.13/15.55
% 15.13/15.55 resolution: (56865) {G4,W5,D2,L1,V2,M1} { cong( X, Y, X, Y ) }.
% 15.13/15.55 parent0[0]: (56863) {G3,W10,D2,L2,V3,M2} { ! cyclic( X, Y, Z, Y ), cong( X
% 15.13/15.55 , Y, X, Y ) }.
% 15.13/15.55 parent1[0]: (50777) {G18,W5,D2,L1,V4,M1} R(50758,401);r(50758) { cyclic( X
% 15.13/15.55 , Y, Z, T ) }.
% 15.13/15.55 substitution0:
% 15.13/15.55 X := X
% 15.13/15.55 Y := Y
% 15.13/15.55 Z := Z
% 15.13/15.55 end
% 15.13/15.55 substitution1:
% 15.13/15.55 X := X
% 15.13/15.55 Y := Y
% 15.13/15.55 Z := Z
% 15.13/15.55 T := Y
% 15.13/15.55 end
% 15.13/15.55
% 15.13/15.55 subsumption: (56058) {G19,W5,D2,L1,V2,M1} S(971);r(50777);r(50777) { cong(
% 15.13/15.55 X, Y, X, Y ) }.
% 15.13/15.55 parent0: (56865) {G4,W5,D2,L1,V2,M1} { cong( X, Y, X, Y ) }.
% 15.13/15.55 substitution0:
% 15.13/15.55 X := X
% 15.13/15.55 Y := Y
% 15.13/15.55 end
% 15.13/15.55 permutation0:
% 15.13/15.55 0 ==> 0
% 15.13/15.55 end
% 15.13/15.55
% 15.13/15.55 resolution: (56866) {G1,W10,D2,L2,V3,M2} { ! cong( X, Z, X, Z ), perp( X,
% 15.13/15.55 X, Y, Z ) }.
% 15.13/15.55 parent0[0]: (56) {G0,W15,D2,L3,V4,M3} I { ! cong( X, Z, Y, Z ), ! cong( X,
% 15.13/15.55 T, Y, T ), perp( X, Y, Z, T ) }.
% 15.13/15.55 parent1[0]: (56058) {G19,W5,D2,L1,V2,M1} S(971);r(50777);r(50777) { cong( X
% 15.13/15.55 , Y, X, Y ) }.
% 15.13/15.55 substitution0:
% 15.13/15.55 X := X
% 15.13/15.55 Y := X
% 15.13/15.55 Z := Y
% 15.13/15.55 T := Z
% 15.13/15.55 end
% 15.13/15.55 substitution1:
% 15.13/15.55 X := X
% 15.13/15.55 Y := Y
% 15.13/15.55 end
% 15.13/15.55
% 15.13/15.55 resolution: (56868) {G2,W5,D2,L1,V3,M1} { perp( X, X, Z, Y ) }.
% 15.13/15.55 parent0[0]: (56866) {G1,W10,D2,L2,V3,M2} { ! cong( X, Z, X, Z ), perp( X,
% 15.13/15.55 X, Y, Z ) }.
% 15.13/15.55 parent1[0]: (56058) {G19,W5,D2,L1,V2,M1} S(971);r(50777);r(50777) { cong( X
% 15.13/15.55 , Y, X, Y ) }.
% 15.13/15.55 substitution0:
% 15.13/15.55 X := X
% 15.13/15.55 Y := Z
% 15.13/15.55 Z := Y
% 15.13/15.55 end
% 15.13/15.55 substitution1:
% 15.13/15.55 X := X
% 15.13/15.55 Y := Y
% 15.13/15.55 end
% 15.13/15.55
% 15.13/15.55 subsumption: (56075) {G20,W5,D2,L1,V3,M1} R(56058,56);r(56058) { perp( X, X
% 15.13/15.55 , Z, Y ) }.
% 15.13/15.55 parent0: (56868) {G2,W5,D2,L1,V3,M1} { perp( X, X, Z, Y ) }.
% 15.13/15.55 substitution0:
% 15.13/15.55 X := X
% 15.13/15.55 Y := Y
% 15.13/15.55 Z := Z
% 15.13/15.55 end
% 15.13/15.55 permutation0:
% 15.13/15.55 0 ==> 0
% 15.13/15.55 end
% 15.13/15.55
% 15.13/15.55 resolution: (56869) {G2,W10,D2,L2,V5,M2} { para( T, U, Y, Z ), ! perp( X,
% 15.13/15.55 X, T, U ) }.
% 15.13/15.55 parent0[0]: (278) {G1,W15,D2,L3,V6,M3} R(8,7) { ! perp( X, Y, Z, T ), para
% 15.13/15.55 ( U, W, Z, T ), ! perp( X, Y, U, W ) }.
% 15.13/15.55 parent1[0]: (56075) {G20,W5,D2,L1,V3,M1} R(56058,56);r(56058) { perp( X, X
% 15.13/15.55 , Z, Y ) }.
% 15.13/15.55 substitution0:
% 15.13/15.55 X := X
% 15.13/15.55 Y := X
% 15.13/15.55 Z := Y
% 15.13/15.55 T := Z
% 15.13/15.55 U := T
% 15.13/15.55 W := U
% 15.13/15.55 end
% 15.13/15.55 substitution1:
% 15.13/15.55 X := X
% 15.13/15.55 Y := Z
% 15.13/15.55 Z := Y
% 15.13/15.55 end
% 15.13/15.55
% 15.13/15.55 resolution: (56871) {G3,W5,D2,L1,V4,M1} { para( X, Y, Z, T ) }.
% 15.13/15.55 parent0[1]: (56869) {G2,W10,D2,L2,V5,M2} { para( T, U, Y, Z ), ! perp( X,
% 15.13/15.55 X, T, U ) }.
% 15.13/15.55 parent1[0]: (56075) {G20,W5,D2,L1,V3,M1} R(56058,56);r(56058) { perp( X, X
% 15.13/15.55 , Z, Y ) }.
% 15.13/15.55 substitution0:
% 15.13/15.55 X := U
% 15.13/15.55 Y := Z
% 15.13/15.55 Z := T
% 15.13/15.55 T := X
% 15.13/15.55 U := Y
% 15.13/15.55 end
% 15.13/15.55 substitution1:
% 15.13/15.55 X := U
% 15.13/15.55 Y := Y
% 15.13/15.55 Z := X
% 15.13/15.55 end
% 15.13/15.55
% 15.13/15.55 subsumption: (56112) {G21,W5,D2,L1,V4,M1} R(56075,278);r(56075) { para( X,
% 15.13/15.55 Y, Z, T ) }.
% 15.13/15.55 parent0: (56871) {G3,W5,D2,L1,V4,M1} { para( X, Y, Z, T ) }.
% 15.13/15.55 substitution0:
% 15.13/15.55 X := X
% 15.13/15.55 Y := Y
% 15.13/15.55 Z := Z
% 15.13/15.55 T := T
% 15.13/15.55 end
% 15.13/15.55 permutation0:
% 15.13/15.55 0 ==> 0
% 15.13/15.55 end
% 15.13/15.55
% 15.13/15.55 resolution: (56872) {G3,W5,D2,L1,V2,M1} { ! para( X, Y, skol22, skol20 )
% 15.13/15.55 }.
% 15.13/15.55 parent0[0]: (446) {G2,W10,D2,L2,V2,M2} R(233,5) { ! para( skol23, skol24, X
% 15.13/15.55 , Y ), ! para( X, Y, skol22, skol20 ) }.
% 15.13/15.55 parent1[0]: (56112) {G21,W5,D2,L1,V4,M1} R(56075,278);r(56075) { para( X, Y
% 15.13/15.55 , Z, T ) }.
% 15.13/15.55 substitution0:
% 15.13/15.55 X := X
% 15.13/15.55 Y := Y
% 15.13/15.55 end
% 15.13/15.55 substitution1:
% 15.13/15.55 X := skol23
% 15.13/15.55 Y := skol24
% 15.13/15.55 Z := X
% 15.13/15.55 T := Y
% 15.13/15.55 end
% 15.13/15.55
% 15.13/15.55 resolution: (56874) {G4,W0,D0,L0,V0,M0} { }.
% 15.13/15.55 parent0[0]: (56872) {G3,W5,D2,L1,V2,M1} { ! para( X, Y, skol22, skol20 )
% 15.13/15.55 }.
% 15.13/15.55 parent1[0]: (56112) {G21,W5,D2,L1,V4,M1} R(56075,278);r(56075) { para( X, Y
% 15.13/15.55 , Z, T ) }.
% 15.13/15.55 substitution0:
% 15.13/15.55 X := X
% 15.13/15.55 Y := Y
% 15.13/15.55 end
% 15.13/15.55 substitution1:
% 15.13/15.55 X := X
% 15.13/15.55 Y := Y
% 15.13/15.55 Z := skol22
% 15.13/15.55 T := skol20
% 15.13/15.55 end
% 15.13/15.55
% 15.13/15.55 subsumption: (56294) {G22,W0,D0,L0,V0,M0} R(56112,446);r(56112) { }.
% 15.13/15.55 parent0: (56874) {G4,W0,D0,L0,V0,M0} { }.
% 15.13/15.55 substitution0:
% 15.13/15.55 end
% 15.13/15.55 permutation0:
% 15.13/15.55 end
% 15.13/15.55
% 15.13/15.55 Proof check complete!
% 15.13/15.55
% 15.13/15.55 Memory use:
% 15.13/15.55
% 15.13/15.55 space for terms: 778967
% 15.13/15.55 space for clauses: 2429440
% 15.13/15.55
% 15.13/15.55
% 15.13/15.55 clauses generated: 478040
% 15.13/15.55 clauses kept: 56295
% 15.13/15.55 clauses selected: 3151
% 15.13/15.55 clauses deleted: 5322
% 15.13/15.55 clauses inuse deleted: 183
% 15.13/15.55
% 15.13/15.55 subsentry: 21690036
% 15.13/15.55 literals s-matched: 11814819
% 15.13/15.55 literals matched: 6779802
% 15.13/15.55 full subsumption: 2117092
% 15.13/15.55
% 15.13/15.55 checksum: 2015312664
% 15.13/15.55
% 15.13/15.55
% 15.13/15.55 Bliksem ended
%------------------------------------------------------------------------------