TSTP Solution File: GEO648+1 by Bliksem---1.12
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- Process Solution
%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : GEO648+1 : TPTP v8.1.0. Released v7.5.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n018.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 0s
% DateTime : Sat Jul 16 02:55:21 EDT 2022
% Result : Theorem 30.06s 30.44s
% Output : Refutation 30.06s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.11 % Problem : GEO648+1 : TPTP v8.1.0. Released v7.5.0.
% 0.10/0.12 % Command : bliksem %s
% 0.12/0.33 % Computer : n018.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % DateTime : Fri Jun 17 18:00:47 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.74/1.17 *** allocated 10000 integers for termspace/termends
% 0.74/1.17 *** allocated 10000 integers for clauses
% 0.74/1.17 *** allocated 10000 integers for justifications
% 0.74/1.17 Bliksem 1.12
% 0.74/1.17
% 0.74/1.17
% 0.74/1.17 Automatic Strategy Selection
% 0.74/1.17
% 0.74/1.17 *** allocated 15000 integers for termspace/termends
% 0.74/1.17
% 0.74/1.17 Clauses:
% 0.74/1.17
% 0.74/1.17 { ! coll( X, Y, Z ), coll( X, Z, Y ) }.
% 0.74/1.17 { ! coll( X, Y, Z ), coll( Y, X, Z ) }.
% 0.74/1.17 { ! coll( X, T, Y ), ! coll( X, T, Z ), coll( Y, Z, X ) }.
% 0.74/1.17 { ! para( X, Y, Z, T ), para( X, Y, T, Z ) }.
% 0.74/1.17 { ! para( X, Y, Z, T ), para( Z, T, X, Y ) }.
% 0.74/1.17 { ! para( X, Y, U, W ), ! para( U, W, Z, T ), para( X, Y, Z, T ) }.
% 0.74/1.17 { ! perp( X, Y, Z, T ), perp( X, Y, T, Z ) }.
% 0.74/1.17 { ! perp( X, Y, Z, T ), perp( Z, T, X, Y ) }.
% 0.74/1.17 { ! perp( X, Y, U, W ), ! perp( U, W, Z, T ), para( X, Y, Z, T ) }.
% 0.74/1.17 { ! para( X, Y, U, W ), ! perp( U, W, Z, T ), perp( X, Y, Z, T ) }.
% 0.74/1.17 { ! midp( Z, Y, X ), midp( Z, X, Y ) }.
% 0.74/1.17 { ! cong( T, X, T, Y ), ! cong( T, X, T, Z ), circle( T, X, Y, Z ) }.
% 0.74/1.17 { ! cong( U, X, U, Y ), ! cong( U, X, U, Z ), ! cong( U, X, U, T ), cyclic
% 0.74/1.17 ( X, Y, Z, T ) }.
% 0.74/1.17 { ! cyclic( X, Y, Z, T ), cyclic( X, Y, T, Z ) }.
% 0.74/1.17 { ! cyclic( X, Y, Z, T ), cyclic( X, Z, Y, T ) }.
% 0.74/1.17 { ! cyclic( X, Y, Z, T ), cyclic( Y, X, Z, T ) }.
% 0.74/1.17 { ! cyclic( U, X, Y, Z ), ! cyclic( U, X, Y, T ), cyclic( X, Y, Z, T ) }.
% 0.74/1.17 { ! eqangle( X, Y, Z, T, U, W, V0, V1 ), eqangle( Y, X, Z, T, U, W, V0, V1
% 0.74/1.17 ) }.
% 0.74/1.17 { ! eqangle( X, Y, Z, T, U, W, V0, V1 ), eqangle( Z, T, X, Y, V0, V1, U, W
% 0.74/1.17 ) }.
% 0.74/1.17 { ! eqangle( X, Y, Z, T, U, W, V0, V1 ), eqangle( U, W, V0, V1, X, Y, Z, T
% 0.74/1.17 ) }.
% 0.74/1.17 { ! eqangle( X, Y, Z, T, U, W, V0, V1 ), eqangle( X, Y, U, W, Z, T, V0, V1
% 0.74/1.17 ) }.
% 0.74/1.17 { ! eqangle( X, Y, Z, T, V2, V3, V4, V5 ), ! eqangle( V2, V3, V4, V5, U, W
% 0.74/1.17 , V0, V1 ), eqangle( X, Y, Z, T, U, W, V0, V1 ) }.
% 0.74/1.17 { ! cong( X, Y, Z, T ), cong( X, Y, T, Z ) }.
% 0.74/1.17 { ! cong( X, Y, Z, T ), cong( Z, T, X, Y ) }.
% 0.74/1.17 { ! cong( X, Y, U, W ), ! cong( U, W, Z, T ), cong( X, Y, Z, T ) }.
% 0.74/1.17 { ! eqratio( X, Y, Z, T, U, W, V0, V1 ), eqratio( Y, X, Z, T, U, W, V0, V1
% 0.74/1.17 ) }.
% 0.74/1.17 { ! eqratio( X, Y, Z, T, U, W, V0, V1 ), eqratio( Z, T, X, Y, V0, V1, U, W
% 0.74/1.17 ) }.
% 0.74/1.17 { ! eqratio( X, Y, Z, T, U, W, V0, V1 ), eqratio( U, W, V0, V1, X, Y, Z, T
% 0.74/1.17 ) }.
% 0.74/1.17 { ! eqratio( X, Y, Z, T, U, W, V0, V1 ), eqratio( X, Y, U, W, Z, T, V0, V1
% 0.74/1.17 ) }.
% 0.74/1.17 { ! eqratio( X, Y, Z, T, V2, V3, V4, V5 ), ! eqratio( V2, V3, V4, V5, U, W
% 0.74/1.17 , V0, V1 ), eqratio( X, Y, Z, T, U, W, V0, V1 ) }.
% 0.74/1.17 { ! simtri( X, Z, Y, T, W, U ), simtri( X, Y, Z, T, U, W ) }.
% 0.74/1.17 { ! simtri( Y, X, Z, U, T, W ), simtri( X, Y, Z, T, U, W ) }.
% 0.74/1.17 { ! simtri( T, U, W, X, Y, Z ), simtri( X, Y, Z, T, U, W ) }.
% 0.74/1.17 { ! simtri( X, Y, Z, V0, V1, V2 ), ! simtri( V0, V1, V2, T, U, W ), simtri
% 0.74/1.17 ( X, Y, Z, T, U, W ) }.
% 0.74/1.17 { ! contri( X, Z, Y, T, W, U ), contri( X, Y, Z, T, U, W ) }.
% 0.74/1.17 { ! contri( Y, X, Z, U, T, W ), contri( X, Y, Z, T, U, W ) }.
% 0.74/1.17 { ! contri( T, U, W, X, Y, Z ), contri( X, Y, Z, T, U, W ) }.
% 0.74/1.17 { ! contri( X, Y, Z, V0, V1, V2 ), ! contri( V0, V1, V2, T, U, W ), contri
% 0.74/1.17 ( X, Y, Z, T, U, W ) }.
% 0.74/1.17 { ! eqangle( X, Y, U, W, Z, T, U, W ), para( X, Y, Z, T ) }.
% 0.74/1.17 { ! para( X, Y, Z, T ), eqangle( X, Y, U, W, Z, T, U, W ) }.
% 0.74/1.17 { ! cyclic( X, Y, Z, T ), eqangle( Z, X, Z, Y, T, X, T, Y ) }.
% 0.74/1.17 { ! eqangle( Z, X, Z, Y, T, X, T, Y ), coll( Z, T, X ), cyclic( X, Y, Z, T
% 0.74/1.17 ) }.
% 0.74/1.17 { ! eqangle( Z, X, Z, Y, T, X, T, Y ), ! coll( Z, T, Y ), cyclic( X, Y, Z,
% 0.74/1.17 T ) }.
% 0.74/1.17 { ! cyclic( X, Y, U, Z ), ! cyclic( X, Y, U, T ), ! cyclic( X, Y, U, W ), !
% 0.74/1.17 eqangle( U, X, U, Y, W, Z, W, T ), cong( X, Y, Z, T ) }.
% 0.74/1.17 { ! midp( Z, U, X ), ! midp( T, U, Y ), para( Z, T, X, Y ) }.
% 0.74/1.17 { ! midp( U, X, T ), ! para( U, Z, T, Y ), ! coll( Z, X, Y ), midp( Z, X, Y
% 0.74/1.17 ) }.
% 0.74/1.17 { ! cong( Z, X, Z, Y ), eqangle( Z, X, X, Y, X, Y, Z, Y ) }.
% 0.74/1.17 { ! eqangle( Z, X, X, Y, X, Y, Z, Y ), coll( Z, X, Y ), cong( Z, X, Z, Y )
% 0.74/1.17 }.
% 0.74/1.17 { ! circle( U, X, Y, Z ), ! perp( U, X, X, T ), eqangle( X, T, X, Y, Z, X,
% 0.74/1.17 Z, Y ) }.
% 0.74/1.17 { ! circle( Y, X, T, U ), ! eqangle( X, Z, X, T, U, X, U, T ), perp( Y, X,
% 0.74/1.17 X, Z ) }.
% 0.74/1.17 { ! circle( T, X, Y, Z ), ! midp( U, Y, Z ), eqangle( X, Y, X, Z, T, Y, T,
% 0.74/1.17 U ) }.
% 0.74/1.17 { ! circle( U, T, X, Y ), ! coll( Z, X, Y ), ! eqangle( T, X, T, Y, U, X, U
% 0.74/1.17 , Z ), midp( Z, X, Y ) }.
% 0.74/1.17 { ! perp( X, Y, Y, T ), ! midp( Z, X, T ), cong( X, Z, Y, Z ) }.
% 0.74/1.17 { ! circle( T, X, Y, Z ), ! coll( T, X, Z ), perp( X, Y, Y, Z ) }.
% 0.74/1.17 { ! cyclic( X, Y, Z, T ), ! para( X, Y, Z, T ), eqangle( X, T, Z, T, Z, T,
% 0.74/1.17 Z, Y ) }.
% 0.74/1.17 { ! midp( T, X, Y ), ! perp( Z, T, X, Y ), cong( Z, X, Z, Y ) }.
% 0.74/1.17 { ! cong( X, Z, Y, Z ), ! cong( X, T, Y, T ), perp( X, Y, Z, T ) }.
% 0.74/1.17 { ! cong( X, Y, T, Y ), ! cong( X, Z, T, Z ), ! cyclic( X, T, Y, Z ), perp
% 0.74/1.17 ( Y, X, X, Z ) }.
% 0.74/1.17 { ! eqangle( X, Y, Y, Z, T, U, U, W ), ! eqangle( X, Z, Y, Z, T, W, U, W )
% 0.74/1.17 , coll( X, Y, Z ), simtri( X, Y, Z, T, U, W ) }.
% 0.74/1.17 { ! simtri( X, Y, Z, T, U, W ), eqratio( X, Y, X, Z, T, U, T, W ) }.
% 0.74/1.17 { ! simtri( X, Y, Z, T, U, W ), eqangle( X, Y, Y, Z, T, U, U, W ) }.
% 0.74/1.17 { ! simtri( X, Y, Z, T, U, W ), ! cong( X, Y, T, U ), contri( X, Y, Z, T, U
% 0.74/1.17 , W ) }.
% 0.74/1.17 { ! contri( X, Y, U, Z, T, W ), cong( X, Y, Z, T ) }.
% 0.74/1.17 { ! midp( U, X, Y ), ! midp( U, Z, T ), para( X, Z, Y, T ) }.
% 0.74/1.17 { ! midp( Z, T, U ), ! para( T, X, U, Y ), ! para( T, Y, U, X ), midp( Z, X
% 0.74/1.17 , Y ) }.
% 0.74/1.17 { ! para( X, Y, Z, T ), ! coll( U, X, Z ), ! coll( U, Y, T ), eqratio( U, X
% 0.74/1.17 , X, Z, U, Y, Y, T ) }.
% 0.74/1.17 { ! para( X, Y, X, Z ), coll( X, Y, Z ) }.
% 0.74/1.18 { ! cong( X, Y, X, Z ), ! coll( X, Y, Z ), midp( X, Y, Z ) }.
% 0.74/1.18 { ! midp( X, Y, Z ), cong( X, Y, X, Z ) }.
% 0.74/1.18 { ! midp( X, Y, Z ), coll( X, Y, Z ) }.
% 0.74/1.18 { ! midp( U, X, Y ), ! midp( W, Z, T ), eqratio( U, X, X, Y, W, Z, Z, T ) }
% 0.74/1.18 .
% 0.74/1.18 { ! eqangle( X, Y, Z, T, Z, T, X, Y ), para( X, Y, Z, T ), perp( X, Y, Z, T
% 0.74/1.18 ) }.
% 0.74/1.18 { ! eqangle( X, Y, Z, T, Z, T, X, Y ), perp( X, Y, Z, T ), para( X, Y, Z, T
% 0.74/1.18 ) }.
% 0.74/1.18 { ! eqangle( X, Y, Z, T, U, W, V0, V1 ), ! para( U, W, V0, V1 ), para( X, Y
% 0.74/1.18 , Z, T ) }.
% 0.74/1.18 { ! eqangle( X, Y, Z, T, U, W, V0, V1 ), ! perp( U, W, V0, V1 ), perp( X, Y
% 0.74/1.18 , Z, T ) }.
% 0.74/1.18 { ! eqratio( X, Y, Z, T, U, W, V0, V1 ), ! cong( U, W, V0, V1 ), cong( X, Y
% 0.74/1.18 , Z, T ) }.
% 0.74/1.18 { ! perp( Z, Y, Y, X ), ! eqangle( T, Z, Y, Z, Y, Z, X, Z ), coll( skol1( U
% 0.74/1.18 , W, Z, T ), Z, T ) }.
% 0.74/1.18 { ! perp( Z, Y, Y, X ), ! eqangle( T, Z, Y, Z, Y, Z, X, Z ), coll( skol1( X
% 0.74/1.18 , Y, Z, T ), X, Y ) }.
% 0.74/1.18 { ! cong( Z, X, Z, Y ), ! eqangle( X, Z, Z, T, Z, T, Z, Y ), coll( skol2( U
% 0.74/1.18 , W, Z, T ), Z, T ) }.
% 0.74/1.18 { ! cong( Z, X, Z, Y ), ! eqangle( X, Z, Z, T, Z, T, Z, Y ), coll( Y, X,
% 0.74/1.18 skol2( X, Y, Z, T ) ) }.
% 0.74/1.18 { ! perp( Z, T, X, Y ), ! eqangle( X, Z, Z, T, Z, T, Z, Y ), coll( skol3( U
% 0.74/1.18 , W, Z, T ), Z, T ) }.
% 0.74/1.18 { ! perp( Z, T, X, Y ), ! eqangle( X, Z, Z, T, Z, T, Z, Y ), coll( Y, X,
% 0.74/1.18 skol3( X, Y, Z, T ) ) }.
% 0.74/1.18 { ! perp( Z, T, X, Y ), ! cong( Z, X, Z, Y ), coll( skol4( U, W, Z, T ), Z
% 0.74/1.18 , T ) }.
% 0.74/1.18 { ! perp( Z, T, X, Y ), ! cong( Z, X, Z, Y ), coll( Y, X, skol4( X, Y, Z, T
% 0.74/1.18 ) ) }.
% 0.74/1.18 { ! eqangle( X, Z, Y, Z, X, T, Y, U ), coll( X, Y, Z ), cyclic( T, Y, Z,
% 0.74/1.18 skol5( W, Y, Z, T ) ) }.
% 0.74/1.18 { ! eqangle( X, Z, Y, Z, X, T, Y, U ), coll( X, Y, Z ), eqangle( X, Z, Y, Z
% 0.74/1.18 , X, skol5( X, Y, Z, T ), Y, skol5( X, Y, Z, T ) ) }.
% 0.74/1.18 { ! midp( U, X, Y ), ! midp( W, Z, T ), midp( skol6( X, V0, V1, T, V2, V3 )
% 0.74/1.18 , X, T ) }.
% 0.74/1.18 { ! midp( U, X, Y ), ! midp( W, Z, T ), para( skol6( X, V0, Z, T, V1, W ),
% 0.74/1.18 W, X, Z ) }.
% 0.74/1.18 { ! midp( U, X, Y ), ! midp( W, Z, T ), para( skol6( X, Y, Z, T, U, W ), U
% 0.74/1.18 , Y, T ) }.
% 0.74/1.18 { ! midp( Z, X, Y ), ! midp( W, T, U ), ! coll( T, X, Y ), ! coll( U, X, Y
% 0.74/1.18 ), midp( skol7( X, V0 ), X, V0 ) }.
% 0.74/1.18 { ! midp( T, X, U ), ! para( X, W, Z, T ), ! para( X, W, U, Y ), ! coll( W
% 0.74/1.18 , Y, Z ), coll( skol8( V0, V1, Z, T ), T, Z ) }.
% 0.74/1.18 { ! midp( T, X, U ), ! para( X, W, Z, T ), ! para( X, W, U, Y ), ! coll( W
% 0.74/1.18 , Y, Z ), coll( skol8( X, Y, Z, T ), X, Y ) }.
% 0.74/1.18 { ! cong( T, Z, T, U ), ! perp( X, Y, Y, T ), cong( T, Z, T, skol9( W, V0,
% 0.74/1.18 Z, T ) ) }.
% 0.74/1.18 { ! cong( T, Z, T, U ), ! perp( X, Y, Y, T ), cong( Y, Z, Y, skol9( W, Y, Z
% 0.74/1.18 , T ) ) }.
% 0.74/1.18 { ! cong( T, Z, T, U ), ! perp( X, Y, Y, T ), para( skol9( X, Y, Z, T ), Z
% 0.74/1.18 , X, Y ) }.
% 0.74/1.18 { ! perp( X, T, Y, Z ), ! perp( Y, T, X, Z ), coll( skol10( U, Y, Z ), Z, Y
% 0.74/1.18 ) }.
% 0.74/1.18 { ! perp( X, T, Y, Z ), ! perp( Y, T, X, Z ), perp( X, skol10( X, Y, Z ), Z
% 0.74/1.18 , Y ) }.
% 0.74/1.18 { ! perp( X, T, Y, Z ), ! perp( Y, T, X, Z ), alpha1( X, Y, Z ) }.
% 0.74/1.18 { ! alpha1( X, Y, Z ), coll( skol11( X, T, Z ), Z, X ) }.
% 0.74/1.18 { ! alpha1( X, Y, Z ), perp( Y, skol11( X, Y, Z ), Z, X ) }.
% 0.74/1.18 { ! coll( T, Z, X ), ! perp( Y, T, Z, X ), alpha1( X, Y, Z ) }.
% 0.74/1.18 { ! circle( Y, X, Z, T ), perp( skol12( X, Y ), X, X, Y ) }.
% 5.85/6.29 { ! circle( W, X, Y, Z ), ! cong( W, X, W, T ), ! cong( U, X, U, Y ), W = U
% 5.85/6.29 , alpha2( X, Z, U, skol13( X, V0, Z, V1, U ) ) }.
% 5.85/6.29 { ! circle( W, X, Y, Z ), ! cong( W, X, W, T ), ! cong( U, X, U, Y ), W = U
% 5.85/6.29 , coll( skol21( V0, Y, T, V1 ), Y, T ) }.
% 5.85/6.29 { ! circle( W, X, Y, Z ), ! cong( W, X, W, T ), ! cong( U, X, U, Y ), W = U
% 5.85/6.29 , cong( skol21( X, Y, T, U ), U, U, X ) }.
% 5.85/6.29 { ! alpha2( X, Y, Z, T ), coll( T, X, Y ) }.
% 5.85/6.29 { ! alpha2( X, Y, Z, T ), cong( T, Z, Z, X ) }.
% 5.85/6.29 { ! coll( T, X, Y ), ! cong( T, Z, Z, X ), alpha2( X, Y, Z, T ) }.
% 5.85/6.29 { ! cyclic( X, Y, Z, T ), ! para( X, Y, Z, T ), ! midp( U, X, Y ), circle(
% 5.85/6.29 skol14( X, Y, Z ), X, Y, Z ) }.
% 5.85/6.29 { ! perp( X, Z, Z, Y ), ! cyclic( X, Y, Z, T ), circle( skol15( X, Y, Z ),
% 5.85/6.29 X, Y, Z ) }.
% 5.85/6.29 { ! perp( X, U, U, T ), ! coll( T, Y, Z ), coll( skol16( W, Y, Z ), Y, Z )
% 5.85/6.29 }.
% 5.85/6.29 { ! perp( X, U, U, T ), ! coll( T, Y, Z ), perp( skol16( X, Y, Z ), X, Y, Z
% 5.85/6.29 ) }.
% 5.85/6.29 { ! perp( X, Z, X, Y ), ! perp( Y, X, Y, T ), ! midp( U, Z, T ), midp(
% 5.85/6.29 skol17( X, Y ), X, Y ) }.
% 5.85/6.29 { ! cong( Y, X, Y, Z ), ! perp( X, Y, Y, Z ), coll( X, Y, skol18( X, Y ) )
% 5.85/6.29 }.
% 5.85/6.29 { ! cong( Y, X, Y, Z ), ! perp( X, Y, Y, Z ), cong( Y, X, Y, skol18( X, Y )
% 5.85/6.29 ) }.
% 5.85/6.29 { ! para( U, W, X, Y ), ! coll( Z, U, X ), ! coll( Z, W, Y ), ! coll( T, U
% 5.85/6.29 , W ), coll( Z, T, skol19( V0, V1, Z, T ) ) }.
% 5.85/6.29 { ! para( U, W, X, Y ), ! coll( Z, U, X ), ! coll( Z, W, Y ), ! coll( T, U
% 5.85/6.29 , W ), coll( skol19( X, Y, Z, T ), X, Y ) }.
% 5.85/6.29 { circle( skol20, skol22, skol25, skol26 ) }.
% 5.85/6.29 { circle( skol20, skol22, skol27, skol28 ) }.
% 5.85/6.29 { perp( skol20, skol27, skol27, skol23 ) }.
% 5.85/6.29 { perp( skol20, skol22, skol22, skol23 ) }.
% 5.85/6.29 { coll( skol27, skol20, skol24 ) }.
% 5.85/6.29 { circle( skol20, skol27, skol24, skol29 ) }.
% 5.85/6.29 { ! para( skol20, skol23, skol22, skol24 ) }.
% 5.85/6.29
% 5.85/6.29 percentage equality = 0.008798, percentage horn = 0.926829
% 5.85/6.29 This is a problem with some equality
% 5.85/6.29
% 5.85/6.29
% 5.85/6.29
% 5.85/6.29 Options Used:
% 5.85/6.29
% 5.85/6.29 useres = 1
% 5.85/6.29 useparamod = 1
% 5.85/6.29 useeqrefl = 1
% 5.85/6.29 useeqfact = 1
% 5.85/6.29 usefactor = 1
% 5.85/6.29 usesimpsplitting = 0
% 5.85/6.29 usesimpdemod = 5
% 5.85/6.29 usesimpres = 3
% 5.85/6.29
% 5.85/6.29 resimpinuse = 1000
% 5.85/6.29 resimpclauses = 20000
% 5.85/6.29 substype = eqrewr
% 5.85/6.29 backwardsubs = 1
% 5.85/6.29 selectoldest = 5
% 5.85/6.29
% 5.85/6.29 litorderings [0] = split
% 5.85/6.29 litorderings [1] = extend the termordering, first sorting on arguments
% 5.85/6.29
% 5.85/6.29 termordering = kbo
% 5.85/6.29
% 5.85/6.29 litapriori = 0
% 5.85/6.29 termapriori = 1
% 5.85/6.29 litaposteriori = 0
% 5.85/6.29 termaposteriori = 0
% 5.85/6.29 demodaposteriori = 0
% 5.85/6.29 ordereqreflfact = 0
% 5.85/6.29
% 5.85/6.29 litselect = negord
% 5.85/6.29
% 5.85/6.29 maxweight = 15
% 5.85/6.29 maxdepth = 30000
% 5.85/6.29 maxlength = 115
% 5.85/6.29 maxnrvars = 195
% 5.85/6.29 excuselevel = 1
% 5.85/6.29 increasemaxweight = 1
% 5.85/6.29
% 5.85/6.29 maxselected = 10000000
% 5.85/6.29 maxnrclauses = 10000000
% 5.85/6.29
% 5.85/6.29 showgenerated = 0
% 5.85/6.29 showkept = 0
% 5.85/6.29 showselected = 0
% 5.85/6.29 showdeleted = 0
% 5.85/6.29 showresimp = 1
% 5.85/6.29 showstatus = 2000
% 5.85/6.29
% 5.85/6.29 prologoutput = 0
% 5.85/6.29 nrgoals = 5000000
% 5.85/6.29 totalproof = 1
% 5.85/6.29
% 5.85/6.29 Symbols occurring in the translation:
% 5.85/6.29
% 5.85/6.29 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 5.85/6.29 . [1, 2] (w:1, o:42, a:1, s:1, b:0),
% 5.85/6.29 ! [4, 1] (w:0, o:37, a:1, s:1, b:0),
% 5.85/6.29 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 5.85/6.29 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 5.85/6.29 coll [38, 3] (w:1, o:70, a:1, s:1, b:0),
% 5.85/6.29 para [40, 4] (w:1, o:78, a:1, s:1, b:0),
% 5.85/6.29 perp [43, 4] (w:1, o:79, a:1, s:1, b:0),
% 5.85/6.29 midp [45, 3] (w:1, o:71, a:1, s:1, b:0),
% 5.85/6.29 cong [47, 4] (w:1, o:80, a:1, s:1, b:0),
% 5.85/6.29 circle [48, 4] (w:1, o:81, a:1, s:1, b:0),
% 5.85/6.29 cyclic [49, 4] (w:1, o:82, a:1, s:1, b:0),
% 5.85/6.29 eqangle [54, 8] (w:1, o:97, a:1, s:1, b:0),
% 5.85/6.29 eqratio [57, 8] (w:1, o:98, a:1, s:1, b:0),
% 5.85/6.29 simtri [59, 6] (w:1, o:94, a:1, s:1, b:0),
% 5.85/6.29 contri [60, 6] (w:1, o:95, a:1, s:1, b:0),
% 5.85/6.29 alpha1 [68, 3] (w:1, o:72, a:1, s:1, b:1),
% 5.85/6.29 alpha2 [69, 4] (w:1, o:83, a:1, s:1, b:1),
% 5.85/6.29 skol1 [70, 4] (w:1, o:84, a:1, s:1, b:1),
% 5.85/6.29 skol2 [71, 4] (w:1, o:86, a:1, s:1, b:1),
% 5.85/6.29 skol3 [72, 4] (w:1, o:88, a:1, s:1, b:1),
% 5.85/6.29 skol4 [73, 4] (w:1, o:89, a:1, s:1, b:1),
% 5.85/6.29 skol5 [74, 4] (w:1, o:90, a:1, s:1, b:1),
% 5.85/6.29 skol6 [75, 6] (w:1, o:96, a:1, s:1, b:1),
% 5.85/6.29 skol7 [76, 2] (w:1, o:66, a:1, s:1, b:1),
% 5.85/6.29 skol8 [77, 4] (w:1, o:91, a:1, s:1, b:1),
% 30.06/30.44 skol9 [78, 4] (w:1, o:92, a:1, s:1, b:1),
% 30.06/30.44 skol10 [79, 3] (w:1, o:73, a:1, s:1, b:1),
% 30.06/30.44 skol11 [80, 3] (w:1, o:74, a:1, s:1, b:1),
% 30.06/30.44 skol12 [81, 2] (w:1, o:67, a:1, s:1, b:1),
% 30.06/30.44 skol13 [82, 5] (w:1, o:93, a:1, s:1, b:1),
% 30.06/30.44 skol14 [83, 3] (w:1, o:75, a:1, s:1, b:1),
% 30.06/30.44 skol15 [84, 3] (w:1, o:76, a:1, s:1, b:1),
% 30.06/30.44 skol16 [85, 3] (w:1, o:77, a:1, s:1, b:1),
% 30.06/30.44 skol17 [86, 2] (w:1, o:68, a:1, s:1, b:1),
% 30.06/30.44 skol18 [87, 2] (w:1, o:69, a:1, s:1, b:1),
% 30.06/30.44 skol19 [88, 4] (w:1, o:85, a:1, s:1, b:1),
% 30.06/30.44 skol20 [89, 0] (w:1, o:28, a:1, s:1, b:1),
% 30.06/30.44 skol21 [90, 4] (w:1, o:87, a:1, s:1, b:1),
% 30.06/30.44 skol22 [91, 0] (w:1, o:29, a:1, s:1, b:1),
% 30.06/30.44 skol23 [92, 0] (w:1, o:30, a:1, s:1, b:1),
% 30.06/30.44 skol24 [93, 0] (w:1, o:31, a:1, s:1, b:1),
% 30.06/30.44 skol25 [94, 0] (w:1, o:32, a:1, s:1, b:1),
% 30.06/30.44 skol26 [95, 0] (w:1, o:33, a:1, s:1, b:1),
% 30.06/30.44 skol27 [96, 0] (w:1, o:34, a:1, s:1, b:1),
% 30.06/30.44 skol28 [97, 0] (w:1, o:35, a:1, s:1, b:1),
% 30.06/30.44 skol29 [98, 0] (w:1, o:36, a:1, s:1, b:1).
% 30.06/30.44
% 30.06/30.44
% 30.06/30.44 Starting Search:
% 30.06/30.44
% 30.06/30.44 *** allocated 15000 integers for clauses
% 30.06/30.44 *** allocated 22500 integers for clauses
% 30.06/30.44 *** allocated 33750 integers for clauses
% 30.06/30.44 *** allocated 22500 integers for termspace/termends
% 30.06/30.44 *** allocated 50625 integers for clauses
% 30.06/30.44 Resimplifying inuse:
% 30.06/30.44 Done
% 30.06/30.44
% 30.06/30.44 *** allocated 75937 integers for clauses
% 30.06/30.44 *** allocated 33750 integers for termspace/termends
% 30.06/30.44 *** allocated 113905 integers for clauses
% 30.06/30.44 *** allocated 50625 integers for termspace/termends
% 30.06/30.44
% 30.06/30.44 Intermediate Status:
% 30.06/30.44 Generated: 23835
% 30.06/30.44 Kept: 2025
% 30.06/30.44 Inuse: 336
% 30.06/30.44 Deleted: 1
% 30.06/30.44 Deletedinuse: 1
% 30.06/30.44
% 30.06/30.44 Resimplifying inuse:
% 30.06/30.44 Done
% 30.06/30.44
% 30.06/30.44 *** allocated 170857 integers for clauses
% 30.06/30.44 *** allocated 75937 integers for termspace/termends
% 30.06/30.44 Resimplifying inuse:
% 30.06/30.44 Done
% 30.06/30.44
% 30.06/30.44 *** allocated 113905 integers for termspace/termends
% 30.06/30.44 *** allocated 256285 integers for clauses
% 30.06/30.44
% 30.06/30.44 Intermediate Status:
% 30.06/30.44 Generated: 40925
% 30.06/30.44 Kept: 4029
% 30.06/30.44 Inuse: 463
% 30.06/30.44 Deleted: 19
% 30.06/30.44 Deletedinuse: 2
% 30.06/30.44
% 30.06/30.44 Resimplifying inuse:
% 30.06/30.44 Done
% 30.06/30.44
% 30.06/30.44 Resimplifying inuse:
% 30.06/30.44 Done
% 30.06/30.44
% 30.06/30.44 *** allocated 170857 integers for termspace/termends
% 30.06/30.44 *** allocated 384427 integers for clauses
% 30.06/30.44
% 30.06/30.44 Intermediate Status:
% 30.06/30.44 Generated: 51801
% 30.06/30.44 Kept: 6038
% 30.06/30.44 Inuse: 529
% 30.06/30.44 Deleted: 19
% 30.06/30.44 Deletedinuse: 2
% 30.06/30.44
% 30.06/30.44 Resimplifying inuse:
% 30.06/30.44 Done
% 30.06/30.44
% 30.06/30.44 Resimplifying inuse:
% 30.06/30.44 Done
% 30.06/30.44
% 30.06/30.44
% 30.06/30.44 Intermediate Status:
% 30.06/30.44 Generated: 75847
% 30.06/30.44 Kept: 8050
% 30.06/30.44 Inuse: 722
% 30.06/30.44 Deleted: 21
% 30.06/30.44 Deletedinuse: 2
% 30.06/30.44
% 30.06/30.44 *** allocated 576640 integers for clauses
% 30.06/30.44 *** allocated 256285 integers for termspace/termends
% 30.06/30.44 Resimplifying inuse:
% 30.06/30.44 Done
% 30.06/30.44
% 30.06/30.44 Resimplifying inuse:
% 30.06/30.44 Done
% 30.06/30.44
% 30.06/30.44
% 30.06/30.44 Intermediate Status:
% 30.06/30.44 Generated: 94834
% 30.06/30.44 Kept: 10266
% 30.06/30.44 Inuse: 798
% 30.06/30.44 Deleted: 30
% 30.06/30.44 Deletedinuse: 7
% 30.06/30.44
% 30.06/30.44 Resimplifying inuse:
% 30.06/30.44 Done
% 30.06/30.44
% 30.06/30.44 Resimplifying inuse:
% 30.06/30.44 Done
% 30.06/30.44
% 30.06/30.44
% 30.06/30.44 Intermediate Status:
% 30.06/30.44 Generated: 104161
% 30.06/30.44 Kept: 12266
% 30.06/30.44 Inuse: 829
% 30.06/30.44 Deleted: 32
% 30.06/30.44 Deletedinuse: 9
% 30.06/30.44
% 30.06/30.44 *** allocated 864960 integers for clauses
% 30.06/30.44 Resimplifying inuse:
% 30.06/30.44 Done
% 30.06/30.44
% 30.06/30.44
% 30.06/30.44 Intermediate Status:
% 30.06/30.44 Generated: 126123
% 30.06/30.44 Kept: 14272
% 30.06/30.44 Inuse: 993
% 30.06/30.44 Deleted: 51
% 30.06/30.44 Deletedinuse: 11
% 30.06/30.44
% 30.06/30.44 Resimplifying inuse:
% 30.06/30.44 Done
% 30.06/30.44
% 30.06/30.44 *** allocated 384427 integers for termspace/termends
% 30.06/30.44 Resimplifying inuse:
% 30.06/30.44 Done
% 30.06/30.44
% 30.06/30.44
% 30.06/30.44 Intermediate Status:
% 30.06/30.44 Generated: 141477
% 30.06/30.44 Kept: 16290
% 30.06/30.44 Inuse: 1160
% 30.06/30.44 Deleted: 61
% 30.06/30.44 Deletedinuse: 19
% 30.06/30.44
% 30.06/30.44 Resimplifying inuse:
% 30.06/30.44 Done
% 30.06/30.44
% 30.06/30.44 Resimplifying inuse:
% 30.06/30.44 Done
% 30.06/30.44
% 30.06/30.44
% 30.06/30.44 Intermediate Status:
% 30.06/30.44 Generated: 158589
% 30.06/30.44 Kept: 18298
% 30.06/30.44 Inuse: 1269
% 30.06/30.44 Deleted: 61
% 30.06/30.44 Deletedinuse: 19
% 30.06/30.44
% 30.06/30.44 Resimplifying inuse:
% 30.06/30.44 Done
% 30.06/30.44
% 30.06/30.44 *** allocated 1297440 integers for clauses
% 30.06/30.44 Resimplifying inuse:
% 30.06/30.44 Done
% 30.06/30.44
% 30.06/30.44 Resimplifying clauses:
% 30.06/30.44 Done
% 30.06/30.44
% 30.06/30.44
% 30.06/30.44 Intermediate Status:
% 30.06/30.44 Generated: 182336
% 30.06/30.44 Kept: 20299
% 30.06/30.44 Inuse: 1389
% 30.06/30.44 Deleted: 1371
% 30.06/30.44 Deletedinuse: 19
% 30.06/30.44
% 30.06/30.44 Resimplifying inuse:
% 30.06/30.44 Done
% 30.06/30.44
% 30.06/30.44 Resimplifying inuse:
% 30.06/30.44 Done
% 30.06/30.44
% 30.06/30.44
% 30.06/30.44 Intermediate Status:
% 30.06/30.44 Generated: 213445
% 30.06/30.44 Kept: 22306
% 30.06/30.44 Inuse: 1492
% 30.06/30.44 Deleted: 1371
% 30.06/30.44 Deletedinuse: 19
% 30.06/30.44
% 30.06/30.44 Resimplifying inuse:
% 30.06/30.44 Done
% 30.06/30.44
% 30.06/30.44 Resimplifying inuse:
% 30.06/30.44 Done
% 30.06/30.44
% 30.06/30.44
% 30.06/30.44 Intermediate Status:
% 30.06/30.44 Generated: 230115
% 30.06/30.44 Kept: 24309
% 30.06/30.44 Inuse: 1571
% 30.06/30.44 Deleted: 1375
% 30.06/30.44 Deletedinuse: 22
% 30.06/30.44
% 30.06/30.44 Resimplifying inuse:
% 30.06/30.44 Done
% 30.06/30.44
% 30.06/30.44 *** allocated 576640 integers for termspace/termends
% 30.06/30.44 Resimplifying inuse:
% 30.06/30.44 Done
% 30.06/30.44
% 30.06/30.44
% 30.06/30.44 Intermediate Status:
% 30.06/30.44 Generated: 241907
% 30.06/30.44 Kept: 26315
% 30.06/30.44 Inuse: 1610
% 30.06/30.44 Deleted: 1383
% 30.06/30.44 Deletedinuse: 30
% 30.06/30.44
% 30.06/30.44 Resimplifying inuse:
% 30.06/30.44 Done
% 30.06/30.44
% 30.06/30.44 Resimplifying inuse:
% 30.06/30.44 Done
% 30.06/30.44
% 30.06/30.44
% 30.06/30.44 Intermediate Status:
% 30.06/30.44 Generated: 250849
% 30.06/30.44 Kept: 29399
% 30.06/30.44 Inuse: 1633
% 30.06/30.44 Deleted: 1386
% 30.06/30.44 Deletedinuse: 33
% 30.06/30.44
% 30.06/30.44 Resimplifying inuse:
% 30.06/30.44 Done
% 30.06/30.44
% 30.06/30.44 Resimplifying inuse:
% 30.06/30.44 Done
% 30.06/30.44
% 30.06/30.44 *** allocated 1946160 integers for clauses
% 30.06/30.44
% 30.06/30.44 Intermediate Status:
% 30.06/30.44 Generated: 262712
% 30.06/30.44 Kept: 31890
% 30.06/30.44 Inuse: 1663
% 30.06/30.44 Deleted: 1388
% 30.06/30.44 Deletedinuse: 35
% 30.06/30.44
% 30.06/30.44 Resimplifying inuse:
% 30.06/30.44 Done
% 30.06/30.44
% 30.06/30.44 Resimplifying inuse:
% 30.06/30.44 Done
% 30.06/30.44
% 30.06/30.44
% 30.06/30.44 Intermediate Status:
% 30.06/30.44 Generated: 280677
% 30.06/30.44 Kept: 33906
% 30.06/30.44 Inuse: 1723
% 30.06/30.44 Deleted: 1394
% 30.06/30.44 Deletedinuse: 40
% 30.06/30.44
% 30.06/30.44 Resimplifying inuse:
% 30.06/30.44 Done
% 30.06/30.44
% 30.06/30.44 Resimplifying inuse:
% 30.06/30.44 Done
% 30.06/30.44
% 30.06/30.44
% 30.06/30.44 Intermediate Status:
% 30.06/30.44 Generated: 298406
% 30.06/30.44 Kept: 36970
% 30.06/30.44 Inuse: 1830
% 30.06/30.44 Deleted: 1404
% 30.06/30.44 Deletedinuse: 43
% 30.06/30.44
% 30.06/30.44 Resimplifying inuse:
% 30.06/30.44 Done
% 30.06/30.44
% 30.06/30.44 Resimplifying inuse:
% 30.06/30.44 Done
% 30.06/30.44
% 30.06/30.44
% 30.06/30.44 Intermediate Status:
% 30.06/30.44 Generated: 319962
% 30.06/30.44 Kept: 38981
% 30.06/30.44 Inuse: 2005
% 30.06/30.44 Deleted: 1415
% 30.06/30.44 Deletedinuse: 46
% 30.06/30.44
% 30.06/30.44 Resimplifying inuse:
% 30.06/30.44 Done
% 30.06/30.44
% 30.06/30.44 *** allocated 864960 integers for termspace/termends
% 30.06/30.44 Resimplifying inuse:
% 30.06/30.44 Done
% 30.06/30.44
% 30.06/30.44 Resimplifying clauses:
% 30.06/30.44 Done
% 30.06/30.44
% 30.06/30.44
% 30.06/30.44 Intermediate Status:
% 30.06/30.44 Generated: 350949
% 30.06/30.44 Kept: 40993
% 30.06/30.44 Inuse: 2164
% 30.06/30.44 Deleted: 5734
% 30.06/30.44 Deletedinuse: 50
% 30.06/30.44
% 30.06/30.44 Resimplifying inuse:
% 30.06/30.44 Done
% 30.06/30.44
% 30.06/30.44 Resimplifying inuse:
% 30.06/30.44 Done
% 30.06/30.44
% 30.06/30.44
% 30.06/30.44 Intermediate Status:
% 30.06/30.44 Generated: 381527
% 30.06/30.44 Kept: 43019
% 30.06/30.44 Inuse: 2342
% 30.06/30.44 Deleted: 5738
% 30.06/30.44 Deletedinuse: 54
% 30.06/30.44
% 30.06/30.44 Resimplifying inuse:
% 30.06/30.44 Done
% 30.06/30.44
% 30.06/30.44 Resimplifying inuse:
% 30.06/30.44 Done
% 30.06/30.44
% 30.06/30.44
% 30.06/30.44 Intermediate Status:
% 30.06/30.44 Generated: 446180
% 30.06/30.44 Kept: 45028
% 30.06/30.44 Inuse: 2476
% 30.06/30.44 Deleted: 5742
% 30.06/30.44 Deletedinuse: 58
% 30.06/30.44
% 30.06/30.44 Resimplifying inuse:
% 30.06/30.44 Done
% 30.06/30.44
% 30.06/30.44 Resimplifying inuse:
% 30.06/30.44 Done
% 30.06/30.44
% 30.06/30.44
% 30.06/30.44 Intermediate Status:
% 30.06/30.44 Generated: 483980
% 30.06/30.44 Kept: 47030
% 30.06/30.44 Inuse: 2600
% 30.06/30.44 Deleted: 5752
% 30.06/30.44 Deletedinuse: 67
% 30.06/30.44
% 30.06/30.44 Resimplifying inuse:
% 30.06/30.44 Done
% 30.06/30.44
% 30.06/30.44 *** allocated 2919240 integers for clauses
% 30.06/30.44 Resimplifying inuse:
% 30.06/30.44 Done
% 30.06/30.44
% 30.06/30.44
% 30.06/30.44 Intermediate Status:
% 30.06/30.44 Generated: 550335
% 30.06/30.44 Kept: 49034
% 30.06/30.44 Inuse: 2720
% 30.06/30.44 Deleted: 5800
% 30.06/30.44 Deletedinuse: 72
% 30.06/30.44
% 30.06/30.44 Resimplifying inuse:
% 30.06/30.44 Done
% 30.06/30.44
% 30.06/30.44 Resimplifying inuse:
% 30.06/30.44 Done
% 30.06/30.44
% 30.06/30.44
% 30.06/30.44 Intermediate Status:
% 30.06/30.44 Generated: 658128
% 30.06/30.44 Kept: 51045
% 30.06/30.44 Inuse: 2863
% 30.06/30.44 Deleted: 5933
% 30.06/30.44 Deletedinuse: 170
% 30.06/30.44
% 30.06/30.44 Resimplifying inuse:
% 30.06/30.44 Done
% 30.06/30.44
% 30.06/30.44 Resimplifying inuse:
% 30.06/30.44 Done
% 30.06/30.44
% 30.06/30.44
% 30.06/30.44 Bliksems!, er is een bewijs:
% 30.06/30.44 % SZS status Theorem
% 30.06/30.44 % SZS output start Refutation
% 30.06/30.44
% 30.06/30.44 (0) {G0,W8,D2,L2,V3,M2} I { ! coll( X, Y, Z ), coll( X, Z, Y ) }.
% 30.06/30.44 (1) {G0,W8,D2,L2,V3,M2} I { ! coll( X, Y, Z ), coll( Y, X, Z ) }.
% 30.06/30.44 (2) {G0,W12,D2,L3,V4,M3} I { ! coll( X, T, Y ), ! coll( X, T, Z ), coll( Y
% 30.06/30.44 , Z, X ) }.
% 30.06/30.44 (3) {G0,W10,D2,L2,V4,M2} I { ! para( X, Y, Z, T ), para( X, Y, T, Z ) }.
% 30.06/30.44 (4) {G0,W10,D2,L2,V4,M2} I { ! para( X, Y, Z, T ), para( Z, T, X, Y ) }.
% 30.06/30.44 (5) {G0,W15,D2,L3,V6,M3} I { ! para( X, Y, U, W ), ! para( U, W, Z, T ),
% 30.06/30.44 para( X, Y, Z, T ) }.
% 30.06/30.44 (6) {G0,W10,D2,L2,V4,M2} I { ! perp( X, Y, Z, T ), perp( X, Y, T, Z ) }.
% 30.06/30.44 (7) {G0,W10,D2,L2,V4,M2} I { ! perp( X, Y, Z, T ), perp( Z, T, X, Y ) }.
% 30.06/30.44 (8) {G0,W15,D2,L3,V6,M3} I { ! perp( X, Y, U, W ), ! perp( U, W, Z, T ),
% 30.06/30.44 para( X, Y, Z, T ) }.
% 30.06/30.44 (13) {G0,W10,D2,L2,V4,M2} I { ! cyclic( X, Y, Z, T ), cyclic( X, Y, T, Z )
% 30.06/30.44 }.
% 30.06/30.44 (14) {G0,W10,D2,L2,V4,M2} I { ! cyclic( X, Y, Z, T ), cyclic( X, Z, Y, T )
% 30.06/30.44 }.
% 30.06/30.44 (15) {G0,W10,D2,L2,V4,M2} I { ! cyclic( X, Y, Z, T ), cyclic( Y, X, Z, T )
% 30.06/30.44 }.
% 30.06/30.44 (16) {G0,W15,D2,L3,V5,M3} I { ! cyclic( U, X, Y, Z ), ! cyclic( U, X, Y, T
% 30.06/30.44 ), cyclic( X, Y, Z, T ) }.
% 30.06/30.44 (18) {G0,W18,D2,L2,V8,M2} I { ! eqangle( X, Y, Z, T, U, W, V0, V1 ),
% 30.06/30.44 eqangle( Z, T, X, Y, V0, V1, U, W ) }.
% 30.06/30.44 (19) {G0,W18,D2,L2,V8,M2} I { ! eqangle( X, Y, Z, T, U, W, V0, V1 ),
% 30.06/30.44 eqangle( U, W, V0, V1, X, Y, Z, T ) }.
% 30.06/30.44 (39) {G0,W14,D2,L2,V6,M2} I { ! para( X, Y, Z, T ), eqangle( X, Y, U, W, Z
% 30.06/30.44 , T, U, W ) }.
% 30.06/30.44 (40) {G0,W14,D2,L2,V4,M2} I { ! cyclic( X, Y, Z, T ), eqangle( Z, X, Z, Y,
% 30.06/30.44 T, X, T, Y ) }.
% 30.06/30.44 (42) {G0,W18,D2,L3,V4,M3} I { ! eqangle( Z, X, Z, Y, T, X, T, Y ), ! coll(
% 30.06/30.44 Z, T, Y ), cyclic( X, Y, Z, T ) }.
% 30.06/30.44 (43) {G0,W29,D2,L5,V6,M5} I { ! cyclic( X, Y, U, Z ), ! cyclic( X, Y, U, T
% 30.06/30.44 ), ! cyclic( X, Y, U, W ), ! eqangle( U, X, U, Y, W, Z, W, T ), cong( X
% 30.06/30.44 , Y, Z, T ) }.
% 30.06/30.44 (56) {G0,W15,D2,L3,V4,M3} I { ! cong( X, Z, Y, Z ), ! cong( X, T, Y, T ),
% 30.06/30.44 perp( X, Y, Z, T ) }.
% 30.06/30.44 (96) {G0,W14,D2,L3,V4,M3} I { ! perp( X, T, Y, Z ), ! perp( Y, T, X, Z ),
% 30.06/30.44 alpha1( X, Y, Z ) }.
% 30.06/30.44 (97) {G0,W11,D3,L2,V4,M2} I { ! alpha1( X, Y, Z ), coll( skol11( X, T, Z )
% 30.06/30.44 , Z, X ) }.
% 30.06/30.44 (119) {G0,W5,D2,L1,V0,M1} I { perp( skol20, skol22, skol22, skol23 ) }.
% 30.06/30.44 (122) {G0,W5,D2,L1,V0,M1} I { ! para( skol20, skol23, skol22, skol24 ) }.
% 30.06/30.44 (187) {G1,W12,D2,L3,V4,M3} R(2,0) { ! coll( X, Y, Z ), ! coll( X, Y, T ),
% 30.06/30.44 coll( Z, X, T ) }.
% 30.06/30.44 (190) {G2,W8,D2,L2,V3,M2} F(187) { ! coll( X, Y, Z ), coll( Z, X, Z ) }.
% 30.06/30.44 (194) {G3,W12,D2,L3,V4,M3} R(190,2) { coll( X, Y, X ), ! coll( X, Z, Y ), !
% 30.06/30.44 coll( X, Z, T ) }.
% 30.06/30.44 (206) {G4,W8,D2,L2,V3,M2} F(194) { coll( X, Y, X ), ! coll( X, Z, Y ) }.
% 30.06/30.44 (212) {G1,W5,D2,L1,V0,M1} R(3,122) { ! para( skol20, skol23, skol24, skol22
% 30.06/30.44 ) }.
% 30.06/30.44 (232) {G1,W15,D2,L3,V6,M3} R(5,4) { ! para( X, Y, Z, T ), para( U, W, Z, T
% 30.06/30.44 ), ! para( X, Y, U, W ) }.
% 30.06/30.44 (239) {G2,W10,D2,L2,V4,M2} F(232) { ! para( X, Y, Z, T ), para( Z, T, Z, T
% 30.06/30.44 ) }.
% 30.06/30.44 (261) {G1,W5,D2,L1,V0,M1} R(7,119) { perp( skol22, skol23, skol20, skol22 )
% 30.06/30.44 }.
% 30.06/30.44 (271) {G1,W15,D2,L3,V6,M3} R(8,7) { ! perp( X, Y, Z, T ), para( U, W, Z, T
% 30.06/30.44 ), ! perp( X, Y, U, W ) }.
% 30.06/30.44 (280) {G1,W10,D2,L2,V2,M2} R(8,119) { ! perp( skol22, skol23, X, Y ), para
% 30.06/30.44 ( skol20, skol22, X, Y ) }.
% 30.06/30.44 (317) {G2,W5,D2,L1,V0,M1} R(261,6) { perp( skol22, skol23, skol22, skol20 )
% 30.06/30.44 }.
% 30.06/30.44 (361) {G2,W10,D2,L2,V2,M2} R(212,5) { ! para( skol20, skol23, X, Y ), !
% 30.06/30.44 para( X, Y, skol24, skol22 ) }.
% 30.06/30.44 (369) {G1,W10,D2,L2,V4,M2} R(14,13) { ! cyclic( X, Y, Z, T ), cyclic( X, Z
% 30.06/30.44 , T, Y ) }.
% 30.06/30.44 (371) {G5,W8,D2,L2,V3,M2} R(206,1) { ! coll( X, Y, Z ), coll( Z, X, X ) }.
% 30.06/30.44 (377) {G6,W8,D2,L2,V3,M2} R(371,1) { coll( X, Y, Y ), ! coll( Z, Y, X ) }.
% 30.06/30.44 (379) {G6,W8,D2,L2,V3,M2} R(371,0) { coll( X, Y, Y ), ! coll( Y, X, Z ) }.
% 30.06/30.44 (380) {G7,W8,D2,L2,V3,M2} R(377,371) { ! coll( X, Y, Z ), coll( Y, Z, Z )
% 30.06/30.44 }.
% 30.06/30.44 (383) {G1,W10,D2,L2,V4,M2} R(15,14) { cyclic( X, Y, Z, T ), ! cyclic( Y, Z
% 30.06/30.44 , X, T ) }.
% 30.06/30.44 (385) {G1,W10,D2,L2,V4,M2} R(15,13) { cyclic( X, Y, Z, T ), ! cyclic( Y, X
% 30.06/30.44 , T, Z ) }.
% 30.06/30.44 (404) {G1,W15,D2,L3,V5,M3} R(16,15) { ! cyclic( X, Y, Z, T ), ! cyclic( X,
% 30.06/30.44 Y, Z, U ), cyclic( Z, Y, T, U ) }.
% 30.06/30.44 (409) {G1,W15,D2,L3,V5,M3} R(16,13) { ! cyclic( X, Y, Z, T ), cyclic( Y, Z
% 30.06/30.44 , T, U ), ! cyclic( X, Y, U, Z ) }.
% 30.06/30.44 (413) {G2,W10,D2,L2,V4,M2} F(404) { ! cyclic( X, Y, Z, T ), cyclic( Z, Y, T
% 30.06/30.44 , T ) }.
% 30.06/30.44 (445) {G7,W8,D2,L2,V3,M2} R(379,379) { ! coll( X, Y, Z ), coll( X, Y, Y )
% 30.06/30.44 }.
% 30.06/30.44 (448) {G8,W12,D2,L3,V4,M3} R(445,2) { ! coll( X, Y, Z ), ! coll( X, Y, T )
% 30.06/30.44 , coll( T, Y, X ) }.
% 30.06/30.44 (449) {G9,W8,D2,L2,V3,M2} F(448) { ! coll( X, Y, Z ), coll( Z, Y, X ) }.
% 30.06/30.44 (452) {G10,W8,D2,L2,V3,M2} R(449,380) { coll( X, X, Y ), ! coll( Z, Y, X )
% 30.06/30.44 }.
% 30.06/30.44 (774) {G1,W14,D2,L2,V6,M2} R(39,18) { ! para( X, Y, Z, T ), eqangle( U, W,
% 30.06/30.44 X, Y, U, W, Z, T ) }.
% 30.06/30.44 (846) {G1,W18,D2,L3,V4,M3} R(42,19) { ! coll( X, Y, Z ), cyclic( T, Z, X, Y
% 30.06/30.44 ), ! eqangle( Y, T, Y, Z, X, T, X, Z ) }.
% 30.06/30.44 (900) {G1,W20,D2,L4,V4,M4} R(43,40);f { ! cyclic( X, Y, Z, X ), ! cyclic( X
% 30.06/30.44 , Y, Z, Y ), ! cyclic( X, Y, Z, T ), cong( X, Y, X, Y ) }.
% 30.06/30.44 (932) {G2,W15,D2,L3,V3,M3} F(900) { ! cyclic( X, Y, Z, X ), ! cyclic( X, Y
% 30.06/30.44 , Z, Y ), cong( X, Y, X, Y ) }.
% 30.06/30.44 (4052) {G3,W4,D2,L1,V0,M1} R(96,317);r(317) { alpha1( skol22, skol22,
% 30.06/30.44 skol20 ) }.
% 30.06/30.44 (4196) {G4,W7,D3,L1,V1,M1} R(4052,97) { coll( skol11( skol22, X, skol20 ),
% 30.06/30.44 skol20, skol22 ) }.
% 30.06/30.44 (5748) {G11,W4,D2,L1,V0,M1} R(4196,452) { coll( skol22, skol22, skol20 )
% 30.06/30.44 }.
% 30.06/30.44 (15201) {G3,W5,D2,L1,V0,M1} R(280,317) { para( skol20, skol22, skol22,
% 30.06/30.44 skol20 ) }.
% 30.06/30.44 (15205) {G4,W5,D2,L1,V0,M1} R(15201,239) { para( skol22, skol20, skol22,
% 30.06/30.44 skol20 ) }.
% 30.06/30.44 (44955) {G5,W9,D2,L1,V2,M1} R(774,15205) { eqangle( X, Y, skol22, skol20, X
% 30.06/30.44 , Y, skol22, skol20 ) }.
% 30.06/30.44 (48324) {G12,W5,D2,L1,V1,M1} R(846,5748);r(44955) { cyclic( X, skol20,
% 30.06/30.44 skol22, skol22 ) }.
% 30.06/30.44 (48390) {G13,W5,D2,L1,V1,M1} R(48324,385) { cyclic( skol20, X, skol22,
% 30.06/30.44 skol22 ) }.
% 30.06/30.44 (48402) {G14,W5,D2,L1,V1,M1} R(48390,413) { cyclic( skol22, X, skol22,
% 30.06/30.44 skol22 ) }.
% 30.06/30.44 (48424) {G15,W5,D2,L1,V1,M1} R(48402,383) { cyclic( skol22, skol22, X,
% 30.06/30.44 skol22 ) }.
% 30.06/30.44 (48425) {G15,W5,D2,L1,V1,M1} R(48402,369) { cyclic( skol22, skol22, skol22
% 30.06/30.44 , X ) }.
% 30.06/30.44 (48430) {G16,W5,D2,L1,V2,M1} R(48424,409);r(48425) { cyclic( skol22, skol22
% 30.06/30.44 , X, Y ) }.
% 30.06/30.44 (48563) {G17,W5,D2,L1,V3,M1} R(48430,409);r(48430) { cyclic( skol22, X, Y,
% 30.06/30.44 Z ) }.
% 30.06/30.44 (48582) {G18,W5,D2,L1,V4,M1} R(48563,409);r(48563) { cyclic( X, Y, Z, T )
% 30.06/30.44 }.
% 30.06/30.44 (52418) {G19,W5,D2,L1,V2,M1} S(932);r(48582);r(48582) { cong( X, Y, X, Y )
% 30.06/30.44 }.
% 30.06/30.44 (52435) {G20,W5,D2,L1,V3,M1} R(52418,56);r(52418) { perp( X, X, Z, Y ) }.
% 30.06/30.44 (52472) {G21,W5,D2,L1,V4,M1} R(52435,271);r(52435) { para( X, Y, Z, T ) }.
% 30.06/30.44 (52660) {G22,W0,D0,L0,V0,M0} R(52472,361);r(52472) { }.
% 30.06/30.44
% 30.06/30.44
% 30.06/30.44 % SZS output end Refutation
% 30.06/30.44 found a proof!
% 30.06/30.44
% 30.06/30.44
% 30.06/30.44 Unprocessed initial clauses:
% 30.06/30.44
% 30.06/30.44 (52662) {G0,W8,D2,L2,V3,M2} { ! coll( X, Y, Z ), coll( X, Z, Y ) }.
% 30.06/30.44 (52663) {G0,W8,D2,L2,V3,M2} { ! coll( X, Y, Z ), coll( Y, X, Z ) }.
% 30.06/30.44 (52664) {G0,W12,D2,L3,V4,M3} { ! coll( X, T, Y ), ! coll( X, T, Z ), coll
% 30.06/30.44 ( Y, Z, X ) }.
% 30.06/30.44 (52665) {G0,W10,D2,L2,V4,M2} { ! para( X, Y, Z, T ), para( X, Y, T, Z )
% 30.06/30.44 }.
% 30.06/30.44 (52666) {G0,W10,D2,L2,V4,M2} { ! para( X, Y, Z, T ), para( Z, T, X, Y )
% 30.06/30.44 }.
% 30.06/30.44 (52667) {G0,W15,D2,L3,V6,M3} { ! para( X, Y, U, W ), ! para( U, W, Z, T )
% 30.06/30.44 , para( X, Y, Z, T ) }.
% 30.06/30.44 (52668) {G0,W10,D2,L2,V4,M2} { ! perp( X, Y, Z, T ), perp( X, Y, T, Z )
% 30.06/30.44 }.
% 30.06/30.44 (52669) {G0,W10,D2,L2,V4,M2} { ! perp( X, Y, Z, T ), perp( Z, T, X, Y )
% 30.06/30.44 }.
% 30.06/30.44 (52670) {G0,W15,D2,L3,V6,M3} { ! perp( X, Y, U, W ), ! perp( U, W, Z, T )
% 30.06/30.44 , para( X, Y, Z, T ) }.
% 30.06/30.44 (52671) {G0,W15,D2,L3,V6,M3} { ! para( X, Y, U, W ), ! perp( U, W, Z, T )
% 30.06/30.44 , perp( X, Y, Z, T ) }.
% 30.06/30.44 (52672) {G0,W8,D2,L2,V3,M2} { ! midp( Z, Y, X ), midp( Z, X, Y ) }.
% 30.06/30.44 (52673) {G0,W15,D2,L3,V4,M3} { ! cong( T, X, T, Y ), ! cong( T, X, T, Z )
% 30.06/30.44 , circle( T, X, Y, Z ) }.
% 30.06/30.44 (52674) {G0,W20,D2,L4,V5,M4} { ! cong( U, X, U, Y ), ! cong( U, X, U, Z )
% 30.06/30.44 , ! cong( U, X, U, T ), cyclic( X, Y, Z, T ) }.
% 30.06/30.44 (52675) {G0,W10,D2,L2,V4,M2} { ! cyclic( X, Y, Z, T ), cyclic( X, Y, T, Z
% 30.06/30.44 ) }.
% 30.06/30.44 (52676) {G0,W10,D2,L2,V4,M2} { ! cyclic( X, Y, Z, T ), cyclic( X, Z, Y, T
% 30.06/30.44 ) }.
% 30.06/30.44 (52677) {G0,W10,D2,L2,V4,M2} { ! cyclic( X, Y, Z, T ), cyclic( Y, X, Z, T
% 30.06/30.44 ) }.
% 30.06/30.44 (52678) {G0,W15,D2,L3,V5,M3} { ! cyclic( U, X, Y, Z ), ! cyclic( U, X, Y,
% 30.06/30.44 T ), cyclic( X, Y, Z, T ) }.
% 30.06/30.44 (52679) {G0,W18,D2,L2,V8,M2} { ! eqangle( X, Y, Z, T, U, W, V0, V1 ),
% 30.06/30.44 eqangle( Y, X, Z, T, U, W, V0, V1 ) }.
% 30.06/30.44 (52680) {G0,W18,D2,L2,V8,M2} { ! eqangle( X, Y, Z, T, U, W, V0, V1 ),
% 30.06/30.44 eqangle( Z, T, X, Y, V0, V1, U, W ) }.
% 30.06/30.44 (52681) {G0,W18,D2,L2,V8,M2} { ! eqangle( X, Y, Z, T, U, W, V0, V1 ),
% 30.06/30.44 eqangle( U, W, V0, V1, X, Y, Z, T ) }.
% 30.06/30.44 (52682) {G0,W18,D2,L2,V8,M2} { ! eqangle( X, Y, Z, T, U, W, V0, V1 ),
% 30.06/30.44 eqangle( X, Y, U, W, Z, T, V0, V1 ) }.
% 30.06/30.44 (52683) {G0,W27,D2,L3,V12,M3} { ! eqangle( X, Y, Z, T, V2, V3, V4, V5 ), !
% 30.06/30.44 eqangle( V2, V3, V4, V5, U, W, V0, V1 ), eqangle( X, Y, Z, T, U, W, V0,
% 30.06/30.44 V1 ) }.
% 30.06/30.44 (52684) {G0,W10,D2,L2,V4,M2} { ! cong( X, Y, Z, T ), cong( X, Y, T, Z )
% 30.06/30.44 }.
% 30.06/30.44 (52685) {G0,W10,D2,L2,V4,M2} { ! cong( X, Y, Z, T ), cong( Z, T, X, Y )
% 30.06/30.44 }.
% 30.06/30.44 (52686) {G0,W15,D2,L3,V6,M3} { ! cong( X, Y, U, W ), ! cong( U, W, Z, T )
% 30.06/30.44 , cong( X, Y, Z, T ) }.
% 30.06/30.44 (52687) {G0,W18,D2,L2,V8,M2} { ! eqratio( X, Y, Z, T, U, W, V0, V1 ),
% 30.06/30.44 eqratio( Y, X, Z, T, U, W, V0, V1 ) }.
% 30.06/30.44 (52688) {G0,W18,D2,L2,V8,M2} { ! eqratio( X, Y, Z, T, U, W, V0, V1 ),
% 30.06/30.44 eqratio( Z, T, X, Y, V0, V1, U, W ) }.
% 30.06/30.44 (52689) {G0,W18,D2,L2,V8,M2} { ! eqratio( X, Y, Z, T, U, W, V0, V1 ),
% 30.06/30.44 eqratio( U, W, V0, V1, X, Y, Z, T ) }.
% 30.06/30.44 (52690) {G0,W18,D2,L2,V8,M2} { ! eqratio( X, Y, Z, T, U, W, V0, V1 ),
% 30.06/30.44 eqratio( X, Y, U, W, Z, T, V0, V1 ) }.
% 30.06/30.44 (52691) {G0,W27,D2,L3,V12,M3} { ! eqratio( X, Y, Z, T, V2, V3, V4, V5 ), !
% 30.06/30.44 eqratio( V2, V3, V4, V5, U, W, V0, V1 ), eqratio( X, Y, Z, T, U, W, V0,
% 30.06/30.44 V1 ) }.
% 30.06/30.44 (52692) {G0,W14,D2,L2,V6,M2} { ! simtri( X, Z, Y, T, W, U ), simtri( X, Y
% 30.06/30.44 , Z, T, U, W ) }.
% 30.06/30.44 (52693) {G0,W14,D2,L2,V6,M2} { ! simtri( Y, X, Z, U, T, W ), simtri( X, Y
% 30.06/30.44 , Z, T, U, W ) }.
% 30.06/30.44 (52694) {G0,W14,D2,L2,V6,M2} { ! simtri( T, U, W, X, Y, Z ), simtri( X, Y
% 30.06/30.44 , Z, T, U, W ) }.
% 30.06/30.44 (52695) {G0,W21,D2,L3,V9,M3} { ! simtri( X, Y, Z, V0, V1, V2 ), ! simtri(
% 30.06/30.44 V0, V1, V2, T, U, W ), simtri( X, Y, Z, T, U, W ) }.
% 30.06/30.44 (52696) {G0,W14,D2,L2,V6,M2} { ! contri( X, Z, Y, T, W, U ), contri( X, Y
% 30.06/30.44 , Z, T, U, W ) }.
% 30.06/30.44 (52697) {G0,W14,D2,L2,V6,M2} { ! contri( Y, X, Z, U, T, W ), contri( X, Y
% 30.06/30.44 , Z, T, U, W ) }.
% 30.06/30.44 (52698) {G0,W14,D2,L2,V6,M2} { ! contri( T, U, W, X, Y, Z ), contri( X, Y
% 30.06/30.44 , Z, T, U, W ) }.
% 30.06/30.44 (52699) {G0,W21,D2,L3,V9,M3} { ! contri( X, Y, Z, V0, V1, V2 ), ! contri(
% 30.06/30.44 V0, V1, V2, T, U, W ), contri( X, Y, Z, T, U, W ) }.
% 30.06/30.44 (52700) {G0,W14,D2,L2,V6,M2} { ! eqangle( X, Y, U, W, Z, T, U, W ), para(
% 30.06/30.44 X, Y, Z, T ) }.
% 30.06/30.44 (52701) {G0,W14,D2,L2,V6,M2} { ! para( X, Y, Z, T ), eqangle( X, Y, U, W,
% 30.06/30.44 Z, T, U, W ) }.
% 30.06/30.44 (52702) {G0,W14,D2,L2,V4,M2} { ! cyclic( X, Y, Z, T ), eqangle( Z, X, Z, Y
% 30.06/30.44 , T, X, T, Y ) }.
% 30.06/30.44 (52703) {G0,W18,D2,L3,V4,M3} { ! eqangle( Z, X, Z, Y, T, X, T, Y ), coll(
% 30.06/30.44 Z, T, X ), cyclic( X, Y, Z, T ) }.
% 30.06/30.44 (52704) {G0,W18,D2,L3,V4,M3} { ! eqangle( Z, X, Z, Y, T, X, T, Y ), ! coll
% 30.06/30.44 ( Z, T, Y ), cyclic( X, Y, Z, T ) }.
% 30.06/30.44 (52705) {G0,W29,D2,L5,V6,M5} { ! cyclic( X, Y, U, Z ), ! cyclic( X, Y, U,
% 30.06/30.44 T ), ! cyclic( X, Y, U, W ), ! eqangle( U, X, U, Y, W, Z, W, T ), cong( X
% 30.06/30.44 , Y, Z, T ) }.
% 30.06/30.44 (52706) {G0,W13,D2,L3,V5,M3} { ! midp( Z, U, X ), ! midp( T, U, Y ), para
% 30.06/30.44 ( Z, T, X, Y ) }.
% 30.06/30.44 (52707) {G0,W17,D2,L4,V5,M4} { ! midp( U, X, T ), ! para( U, Z, T, Y ), !
% 30.06/30.44 coll( Z, X, Y ), midp( Z, X, Y ) }.
% 30.06/30.44 (52708) {G0,W14,D2,L2,V3,M2} { ! cong( Z, X, Z, Y ), eqangle( Z, X, X, Y,
% 30.06/30.44 X, Y, Z, Y ) }.
% 30.06/30.44 (52709) {G0,W18,D2,L3,V3,M3} { ! eqangle( Z, X, X, Y, X, Y, Z, Y ), coll(
% 30.06/30.44 Z, X, Y ), cong( Z, X, Z, Y ) }.
% 30.06/30.44 (52710) {G0,W19,D2,L3,V5,M3} { ! circle( U, X, Y, Z ), ! perp( U, X, X, T
% 30.06/30.44 ), eqangle( X, T, X, Y, Z, X, Z, Y ) }.
% 30.06/30.44 (52711) {G0,W19,D2,L3,V5,M3} { ! circle( Y, X, T, U ), ! eqangle( X, Z, X
% 30.06/30.44 , T, U, X, U, T ), perp( Y, X, X, Z ) }.
% 30.06/30.44 (52712) {G0,W18,D2,L3,V5,M3} { ! circle( T, X, Y, Z ), ! midp( U, Y, Z ),
% 30.06/30.44 eqangle( X, Y, X, Z, T, Y, T, U ) }.
% 30.06/30.44 (52713) {G0,W22,D2,L4,V5,M4} { ! circle( U, T, X, Y ), ! coll( Z, X, Y ),
% 30.06/30.44 ! eqangle( T, X, T, Y, U, X, U, Z ), midp( Z, X, Y ) }.
% 30.06/30.44 (52714) {G0,W14,D2,L3,V4,M3} { ! perp( X, Y, Y, T ), ! midp( Z, X, T ),
% 30.06/30.44 cong( X, Z, Y, Z ) }.
% 30.06/30.44 (52715) {G0,W14,D2,L3,V4,M3} { ! circle( T, X, Y, Z ), ! coll( T, X, Z ),
% 30.06/30.44 perp( X, Y, Y, Z ) }.
% 30.06/30.44 (52716) {G0,W19,D2,L3,V4,M3} { ! cyclic( X, Y, Z, T ), ! para( X, Y, Z, T
% 30.06/30.44 ), eqangle( X, T, Z, T, Z, T, Z, Y ) }.
% 30.06/30.44 (52717) {G0,W14,D2,L3,V4,M3} { ! midp( T, X, Y ), ! perp( Z, T, X, Y ),
% 30.06/30.44 cong( Z, X, Z, Y ) }.
% 30.06/30.44 (52718) {G0,W15,D2,L3,V4,M3} { ! cong( X, Z, Y, Z ), ! cong( X, T, Y, T )
% 30.06/30.44 , perp( X, Y, Z, T ) }.
% 30.06/30.44 (52719) {G0,W20,D2,L4,V4,M4} { ! cong( X, Y, T, Y ), ! cong( X, Z, T, Z )
% 30.06/30.44 , ! cyclic( X, T, Y, Z ), perp( Y, X, X, Z ) }.
% 30.06/30.44 (52720) {G0,W29,D2,L4,V6,M4} { ! eqangle( X, Y, Y, Z, T, U, U, W ), !
% 30.06/30.44 eqangle( X, Z, Y, Z, T, W, U, W ), coll( X, Y, Z ), simtri( X, Y, Z, T, U
% 30.06/30.44 , W ) }.
% 30.06/30.44 (52721) {G0,W16,D2,L2,V6,M2} { ! simtri( X, Y, Z, T, U, W ), eqratio( X, Y
% 30.06/30.44 , X, Z, T, U, T, W ) }.
% 30.06/30.44 (52722) {G0,W16,D2,L2,V6,M2} { ! simtri( X, Y, Z, T, U, W ), eqangle( X, Y
% 30.06/30.44 , Y, Z, T, U, U, W ) }.
% 30.06/30.44 (52723) {G0,W19,D2,L3,V6,M3} { ! simtri( X, Y, Z, T, U, W ), ! cong( X, Y
% 30.06/30.44 , T, U ), contri( X, Y, Z, T, U, W ) }.
% 30.06/30.44 (52724) {G0,W12,D2,L2,V6,M2} { ! contri( X, Y, U, Z, T, W ), cong( X, Y, Z
% 30.06/30.44 , T ) }.
% 30.06/30.44 (52725) {G0,W13,D2,L3,V5,M3} { ! midp( U, X, Y ), ! midp( U, Z, T ), para
% 30.06/30.44 ( X, Z, Y, T ) }.
% 30.06/30.44 (52726) {G0,W18,D2,L4,V5,M4} { ! midp( Z, T, U ), ! para( T, X, U, Y ), !
% 30.06/30.44 para( T, Y, U, X ), midp( Z, X, Y ) }.
% 30.06/30.44 (52727) {G0,W22,D2,L4,V5,M4} { ! para( X, Y, Z, T ), ! coll( U, X, Z ), !
% 30.06/30.44 coll( U, Y, T ), eqratio( U, X, X, Z, U, Y, Y, T ) }.
% 30.06/30.44 (52728) {G0,W9,D2,L2,V3,M2} { ! para( X, Y, X, Z ), coll( X, Y, Z ) }.
% 30.06/30.44 (52729) {G0,W13,D2,L3,V3,M3} { ! cong( X, Y, X, Z ), ! coll( X, Y, Z ),
% 30.06/30.44 midp( X, Y, Z ) }.
% 30.06/30.44 (52730) {G0,W9,D2,L2,V3,M2} { ! midp( X, Y, Z ), cong( X, Y, X, Z ) }.
% 30.06/30.44 (52731) {G0,W8,D2,L2,V3,M2} { ! midp( X, Y, Z ), coll( X, Y, Z ) }.
% 30.06/30.44 (52732) {G0,W17,D2,L3,V6,M3} { ! midp( U, X, Y ), ! midp( W, Z, T ),
% 30.06/30.44 eqratio( U, X, X, Y, W, Z, Z, T ) }.
% 30.06/30.44 (52733) {G0,W19,D2,L3,V4,M3} { ! eqangle( X, Y, Z, T, Z, T, X, Y ), para(
% 30.06/30.44 X, Y, Z, T ), perp( X, Y, Z, T ) }.
% 30.06/30.44 (52734) {G0,W19,D2,L3,V4,M3} { ! eqangle( X, Y, Z, T, Z, T, X, Y ), perp(
% 30.06/30.44 X, Y, Z, T ), para( X, Y, Z, T ) }.
% 30.06/30.44 (52735) {G0,W19,D2,L3,V8,M3} { ! eqangle( X, Y, Z, T, U, W, V0, V1 ), !
% 30.06/30.44 para( U, W, V0, V1 ), para( X, Y, Z, T ) }.
% 30.06/30.44 (52736) {G0,W19,D2,L3,V8,M3} { ! eqangle( X, Y, Z, T, U, W, V0, V1 ), !
% 30.06/30.44 perp( U, W, V0, V1 ), perp( X, Y, Z, T ) }.
% 30.06/30.44 (52737) {G0,W19,D2,L3,V8,M3} { ! eqratio( X, Y, Z, T, U, W, V0, V1 ), !
% 30.06/30.44 cong( U, W, V0, V1 ), cong( X, Y, Z, T ) }.
% 30.06/30.44 (52738) {G0,W22,D3,L3,V6,M3} { ! perp( Z, Y, Y, X ), ! eqangle( T, Z, Y, Z
% 30.06/30.44 , Y, Z, X, Z ), coll( skol1( U, W, Z, T ), Z, T ) }.
% 30.06/30.44 (52739) {G0,W22,D3,L3,V4,M3} { ! perp( Z, Y, Y, X ), ! eqangle( T, Z, Y, Z
% 30.06/30.44 , Y, Z, X, Z ), coll( skol1( X, Y, Z, T ), X, Y ) }.
% 30.06/30.44 (52740) {G0,W22,D3,L3,V6,M3} { ! cong( Z, X, Z, Y ), ! eqangle( X, Z, Z, T
% 30.06/30.44 , Z, T, Z, Y ), coll( skol2( U, W, Z, T ), Z, T ) }.
% 30.06/30.44 (52741) {G0,W22,D3,L3,V4,M3} { ! cong( Z, X, Z, Y ), ! eqangle( X, Z, Z, T
% 30.06/30.44 , Z, T, Z, Y ), coll( Y, X, skol2( X, Y, Z, T ) ) }.
% 30.06/30.44 (52742) {G0,W22,D3,L3,V6,M3} { ! perp( Z, T, X, Y ), ! eqangle( X, Z, Z, T
% 30.06/30.44 , Z, T, Z, Y ), coll( skol3( U, W, Z, T ), Z, T ) }.
% 30.06/30.44 (52743) {G0,W22,D3,L3,V4,M3} { ! perp( Z, T, X, Y ), ! eqangle( X, Z, Z, T
% 30.06/30.44 , Z, T, Z, Y ), coll( Y, X, skol3( X, Y, Z, T ) ) }.
% 30.06/30.44 (52744) {G0,W18,D3,L3,V6,M3} { ! perp( Z, T, X, Y ), ! cong( Z, X, Z, Y )
% 30.06/30.44 , coll( skol4( U, W, Z, T ), Z, T ) }.
% 30.06/30.44 (52745) {G0,W18,D3,L3,V4,M3} { ! perp( Z, T, X, Y ), ! cong( Z, X, Z, Y )
% 30.06/30.44 , coll( Y, X, skol4( X, Y, Z, T ) ) }.
% 30.06/30.44 (52746) {G0,W22,D3,L3,V6,M3} { ! eqangle( X, Z, Y, Z, X, T, Y, U ), coll(
% 30.06/30.44 X, Y, Z ), cyclic( T, Y, Z, skol5( W, Y, Z, T ) ) }.
% 30.06/30.44 (52747) {G0,W30,D3,L3,V5,M3} { ! eqangle( X, Z, Y, Z, X, T, Y, U ), coll(
% 30.06/30.44 X, Y, Z ), eqangle( X, Z, Y, Z, X, skol5( X, Y, Z, T ), Y, skol5( X, Y, Z
% 30.06/30.44 , T ) ) }.
% 30.06/30.44 (52748) {G0,W18,D3,L3,V10,M3} { ! midp( U, X, Y ), ! midp( W, Z, T ), midp
% 30.06/30.44 ( skol6( X, V0, V1, T, V2, V3 ), X, T ) }.
% 30.06/30.44 (52749) {G0,W19,D3,L3,V8,M3} { ! midp( U, X, Y ), ! midp( W, Z, T ), para
% 30.06/30.44 ( skol6( X, V0, Z, T, V1, W ), W, X, Z ) }.
% 30.06/30.44 (52750) {G0,W19,D3,L3,V6,M3} { ! midp( U, X, Y ), ! midp( W, Z, T ), para
% 30.06/30.44 ( skol6( X, Y, Z, T, U, W ), U, Y, T ) }.
% 30.06/30.44 (52751) {G0,W22,D3,L5,V7,M5} { ! midp( Z, X, Y ), ! midp( W, T, U ), !
% 30.06/30.44 coll( T, X, Y ), ! coll( U, X, Y ), midp( skol7( X, V0 ), X, V0 ) }.
% 30.06/30.44 (52752) {G0,W26,D3,L5,V8,M5} { ! midp( T, X, U ), ! para( X, W, Z, T ), !
% 30.06/30.44 para( X, W, U, Y ), ! coll( W, Y, Z ), coll( skol8( V0, V1, Z, T ), T, Z
% 30.06/30.44 ) }.
% 30.06/30.44 (52753) {G0,W26,D3,L5,V6,M5} { ! midp( T, X, U ), ! para( X, W, Z, T ), !
% 30.06/30.44 para( X, W, U, Y ), ! coll( W, Y, Z ), coll( skol8( X, Y, Z, T ), X, Y )
% 30.06/30.44 }.
% 30.06/30.44 (52754) {G0,W19,D3,L3,V7,M3} { ! cong( T, Z, T, U ), ! perp( X, Y, Y, T )
% 30.06/30.44 , cong( T, Z, T, skol9( W, V0, Z, T ) ) }.
% 30.06/30.44 (52755) {G0,W19,D3,L3,V6,M3} { ! cong( T, Z, T, U ), ! perp( X, Y, Y, T )
% 30.06/30.44 , cong( Y, Z, Y, skol9( W, Y, Z, T ) ) }.
% 30.06/30.44 (52756) {G0,W19,D3,L3,V5,M3} { ! cong( T, Z, T, U ), ! perp( X, Y, Y, T )
% 30.06/30.44 , para( skol9( X, Y, Z, T ), Z, X, Y ) }.
% 30.06/30.44 (52757) {G0,W17,D3,L3,V5,M3} { ! perp( X, T, Y, Z ), ! perp( Y, T, X, Z )
% 30.06/30.44 , coll( skol10( U, Y, Z ), Z, Y ) }.
% 30.06/30.44 (52758) {G0,W18,D3,L3,V4,M3} { ! perp( X, T, Y, Z ), ! perp( Y, T, X, Z )
% 30.06/30.44 , perp( X, skol10( X, Y, Z ), Z, Y ) }.
% 30.06/30.44 (52759) {G0,W14,D2,L3,V4,M3} { ! perp( X, T, Y, Z ), ! perp( Y, T, X, Z )
% 30.06/30.44 , alpha1( X, Y, Z ) }.
% 30.06/30.44 (52760) {G0,W11,D3,L2,V4,M2} { ! alpha1( X, Y, Z ), coll( skol11( X, T, Z
% 30.06/30.44 ), Z, X ) }.
% 30.06/30.44 (52761) {G0,W12,D3,L2,V3,M2} { ! alpha1( X, Y, Z ), perp( Y, skol11( X, Y
% 30.06/30.44 , Z ), Z, X ) }.
% 30.06/30.44 (52762) {G0,W13,D2,L3,V4,M3} { ! coll( T, Z, X ), ! perp( Y, T, Z, X ),
% 30.06/30.44 alpha1( X, Y, Z ) }.
% 30.06/30.44 (52763) {G0,W12,D3,L2,V4,M2} { ! circle( Y, X, Z, T ), perp( skol12( X, Y
% 30.06/30.44 ), X, X, Y ) }.
% 30.06/30.44 (52764) {G0,W28,D3,L5,V8,M5} { ! circle( W, X, Y, Z ), ! cong( W, X, W, T
% 30.06/30.44 ), ! cong( U, X, U, Y ), W = U, alpha2( X, Z, U, skol13( X, V0, Z, V1, U
% 30.06/30.44 ) ) }.
% 30.06/30.44 (52765) {G0,W26,D3,L5,V8,M5} { ! circle( W, X, Y, Z ), ! cong( W, X, W, T
% 30.06/30.44 ), ! cong( U, X, U, Y ), W = U, coll( skol21( V0, Y, T, V1 ), Y, T ) }.
% 30.06/30.44 (52766) {G0,W27,D3,L5,V6,M5} { ! circle( W, X, Y, Z ), ! cong( W, X, W, T
% 30.06/30.44 ), ! cong( U, X, U, Y ), W = U, cong( skol21( X, Y, T, U ), U, U, X )
% 30.06/30.44 }.
% 30.06/30.44 (52767) {G0,W9,D2,L2,V4,M2} { ! alpha2( X, Y, Z, T ), coll( T, X, Y ) }.
% 30.06/30.44 (52768) {G0,W10,D2,L2,V4,M2} { ! alpha2( X, Y, Z, T ), cong( T, Z, Z, X )
% 30.06/30.44 }.
% 30.06/30.44 (52769) {G0,W14,D2,L3,V4,M3} { ! coll( T, X, Y ), ! cong( T, Z, Z, X ),
% 30.06/30.44 alpha2( X, Y, Z, T ) }.
% 30.06/30.44 (52770) {G0,W22,D3,L4,V5,M4} { ! cyclic( X, Y, Z, T ), ! para( X, Y, Z, T
% 30.06/30.44 ), ! midp( U, X, Y ), circle( skol14( X, Y, Z ), X, Y, Z ) }.
% 30.06/30.44 (52771) {G0,W18,D3,L3,V4,M3} { ! perp( X, Z, Z, Y ), ! cyclic( X, Y, Z, T
% 30.06/30.44 ), circle( skol15( X, Y, Z ), X, Y, Z ) }.
% 30.06/30.44 (52772) {G0,W16,D3,L3,V6,M3} { ! perp( X, U, U, T ), ! coll( T, Y, Z ),
% 30.06/30.44 coll( skol16( W, Y, Z ), Y, Z ) }.
% 30.06/30.44 (52773) {G0,W17,D3,L3,V5,M3} { ! perp( X, U, U, T ), ! coll( T, Y, Z ),
% 30.06/30.44 perp( skol16( X, Y, Z ), X, Y, Z ) }.
% 30.06/30.44 (52774) {G0,W20,D3,L4,V5,M4} { ! perp( X, Z, X, Y ), ! perp( Y, X, Y, T )
% 30.06/30.44 , ! midp( U, Z, T ), midp( skol17( X, Y ), X, Y ) }.
% 30.06/30.44 (52775) {G0,W16,D3,L3,V3,M3} { ! cong( Y, X, Y, Z ), ! perp( X, Y, Y, Z )
% 30.06/30.44 , coll( X, Y, skol18( X, Y ) ) }.
% 30.06/30.44 (52776) {G0,W17,D3,L3,V3,M3} { ! cong( Y, X, Y, Z ), ! perp( X, Y, Y, Z )
% 30.06/30.44 , cong( Y, X, Y, skol18( X, Y ) ) }.
% 30.06/30.44 (52777) {G0,W25,D3,L5,V8,M5} { ! para( U, W, X, Y ), ! coll( Z, U, X ), !
% 30.06/30.44 coll( Z, W, Y ), ! coll( T, U, W ), coll( Z, T, skol19( V0, V1, Z, T ) )
% 30.06/30.44 }.
% 30.06/30.44 (52778) {G0,W25,D3,L5,V6,M5} { ! para( U, W, X, Y ), ! coll( Z, U, X ), !
% 30.06/30.44 coll( Z, W, Y ), ! coll( T, U, W ), coll( skol19( X, Y, Z, T ), X, Y )
% 30.06/30.44 }.
% 30.06/30.44 (52779) {G0,W5,D2,L1,V0,M1} { circle( skol20, skol22, skol25, skol26 ) }.
% 30.06/30.44 (52780) {G0,W5,D2,L1,V0,M1} { circle( skol20, skol22, skol27, skol28 ) }.
% 30.06/30.44 (52781) {G0,W5,D2,L1,V0,M1} { perp( skol20, skol27, skol27, skol23 ) }.
% 30.06/30.44 (52782) {G0,W5,D2,L1,V0,M1} { perp( skol20, skol22, skol22, skol23 ) }.
% 30.06/30.44 (52783) {G0,W4,D2,L1,V0,M1} { coll( skol27, skol20, skol24 ) }.
% 30.06/30.44 (52784) {G0,W5,D2,L1,V0,M1} { circle( skol20, skol27, skol24, skol29 ) }.
% 30.06/30.44 (52785) {G0,W5,D2,L1,V0,M1} { ! para( skol20, skol23, skol22, skol24 ) }.
% 30.06/30.44
% 30.06/30.44
% 30.06/30.44 Total Proof:
% 30.06/30.44
% 30.06/30.44 subsumption: (0) {G0,W8,D2,L2,V3,M2} I { ! coll( X, Y, Z ), coll( X, Z, Y )
% 30.06/30.44 }.
% 30.06/30.44 parent0: (52662) {G0,W8,D2,L2,V3,M2} { ! coll( X, Y, Z ), coll( X, Z, Y )
% 30.06/30.44 }.
% 30.06/30.44 substitution0:
% 30.06/30.44 X := X
% 30.06/30.44 Y := Y
% 30.06/30.44 Z := Z
% 30.06/30.44 end
% 30.06/30.44 permutation0:
% 30.06/30.44 0 ==> 0
% 30.06/30.44 1 ==> 1
% 30.06/30.44 end
% 30.06/30.44
% 30.06/30.44 subsumption: (1) {G0,W8,D2,L2,V3,M2} I { ! coll( X, Y, Z ), coll( Y, X, Z )
% 30.06/30.44 }.
% 30.06/30.44 parent0: (52663) {G0,W8,D2,L2,V3,M2} { ! coll( X, Y, Z ), coll( Y, X, Z )
% 30.06/30.44 }.
% 30.06/30.44 substitution0:
% 30.06/30.44 X := X
% 30.06/30.44 Y := Y
% 30.06/30.44 Z := Z
% 30.06/30.44 end
% 30.06/30.44 permutation0:
% 30.06/30.44 0 ==> 0
% 30.06/30.44 1 ==> 1
% 30.06/30.44 end
% 30.06/30.44
% 30.06/30.44 subsumption: (2) {G0,W12,D2,L3,V4,M3} I { ! coll( X, T, Y ), ! coll( X, T,
% 30.06/30.44 Z ), coll( Y, Z, X ) }.
% 30.06/30.44 parent0: (52664) {G0,W12,D2,L3,V4,M3} { ! coll( X, T, Y ), ! coll( X, T, Z
% 30.06/30.44 ), coll( Y, Z, X ) }.
% 30.06/30.44 substitution0:
% 30.06/30.44 X := X
% 30.06/30.44 Y := Y
% 30.06/30.44 Z := Z
% 30.06/30.44 T := T
% 30.06/30.44 end
% 30.06/30.44 permutation0:
% 30.06/30.44 0 ==> 0
% 30.06/30.44 1 ==> 1
% 30.06/30.44 2 ==> 2
% 30.06/30.44 end
% 30.06/30.44
% 30.06/30.44 subsumption: (3) {G0,W10,D2,L2,V4,M2} I { ! para( X, Y, Z, T ), para( X, Y
% 30.06/30.44 , T, Z ) }.
% 30.06/30.44 parent0: (52665) {G0,W10,D2,L2,V4,M2} { ! para( X, Y, Z, T ), para( X, Y,
% 30.06/30.44 T, Z ) }.
% 30.06/30.44 substitution0:
% 30.06/30.44 X := X
% 30.06/30.44 Y := Y
% 30.06/30.44 Z := Z
% 30.06/30.44 T := T
% 30.06/30.44 end
% 30.06/30.44 permutation0:
% 30.06/30.44 0 ==> 0
% 30.06/30.44 1 ==> 1
% 30.06/30.44 end
% 30.06/30.44
% 30.06/30.44 subsumption: (4) {G0,W10,D2,L2,V4,M2} I { ! para( X, Y, Z, T ), para( Z, T
% 30.06/30.44 , X, Y ) }.
% 30.06/30.44 parent0: (52666) {G0,W10,D2,L2,V4,M2} { ! para( X, Y, Z, T ), para( Z, T,
% 30.06/30.44 X, Y ) }.
% 30.06/30.44 substitution0:
% 30.06/30.44 X := X
% 30.06/30.44 Y := Y
% 30.06/30.44 Z := Z
% 30.06/30.44 T := T
% 30.06/30.44 end
% 30.06/30.44 permutation0:
% 30.06/30.44 0 ==> 0
% 30.06/30.44 1 ==> 1
% 30.06/30.44 end
% 30.06/30.44
% 30.06/30.44 subsumption: (5) {G0,W15,D2,L3,V6,M3} I { ! para( X, Y, U, W ), ! para( U,
% 30.06/30.44 W, Z, T ), para( X, Y, Z, T ) }.
% 30.06/30.44 parent0: (52667) {G0,W15,D2,L3,V6,M3} { ! para( X, Y, U, W ), ! para( U, W
% 30.06/30.44 , Z, T ), para( X, Y, Z, T ) }.
% 30.06/30.44 substitution0:
% 30.06/30.44 X := X
% 30.06/30.44 Y := Y
% 30.06/30.44 Z := Z
% 30.06/30.44 T := T
% 30.06/30.44 U := U
% 30.06/30.44 W := W
% 30.06/30.44 end
% 30.06/30.44 permutation0:
% 30.06/30.44 0 ==> 0
% 30.06/30.44 1 ==> 1
% 30.06/30.44 2 ==> 2
% 30.06/30.44 end
% 30.06/30.44
% 30.06/30.44 subsumption: (6) {G0,W10,D2,L2,V4,M2} I { ! perp( X, Y, Z, T ), perp( X, Y
% 30.06/30.44 , T, Z ) }.
% 30.06/30.44 parent0: (52668) {G0,W10,D2,L2,V4,M2} { ! perp( X, Y, Z, T ), perp( X, Y,
% 30.06/30.44 T, Z ) }.
% 30.06/30.44 substitution0:
% 30.06/30.44 X := X
% 30.06/30.44 Y := Y
% 30.06/30.44 Z := Z
% 30.06/30.44 T := T
% 30.06/30.44 end
% 30.06/30.44 permutation0:
% 30.06/30.44 0 ==> 0
% 30.06/30.44 1 ==> 1
% 30.06/30.44 end
% 30.06/30.44
% 30.06/30.44 subsumption: (7) {G0,W10,D2,L2,V4,M2} I { ! perp( X, Y, Z, T ), perp( Z, T
% 30.06/30.44 , X, Y ) }.
% 30.06/30.44 parent0: (52669) {G0,W10,D2,L2,V4,M2} { ! perp( X, Y, Z, T ), perp( Z, T,
% 30.06/30.44 X, Y ) }.
% 30.06/30.44 substitution0:
% 30.06/30.44 X := X
% 30.06/30.44 Y := Y
% 30.06/30.44 Z := Z
% 30.06/30.44 T := T
% 30.06/30.44 end
% 30.06/30.44 permutation0:
% 30.06/30.44 0 ==> 0
% 30.06/30.44 1 ==> 1
% 30.06/30.44 end
% 30.06/30.44
% 30.06/30.44 subsumption: (8) {G0,W15,D2,L3,V6,M3} I { ! perp( X, Y, U, W ), ! perp( U,
% 30.06/30.44 W, Z, T ), para( X, Y, Z, T ) }.
% 30.06/30.44 parent0: (52670) {G0,W15,D2,L3,V6,M3} { ! perp( X, Y, U, W ), ! perp( U, W
% 30.06/30.44 , Z, T ), para( X, Y, Z, T ) }.
% 30.06/30.44 substitution0:
% 30.06/30.44 X := X
% 30.06/30.44 Y := Y
% 30.06/30.44 Z := Z
% 30.06/30.44 T := T
% 30.06/30.44 U := U
% 30.06/30.44 W := W
% 30.06/30.44 end
% 30.06/30.44 permutation0:
% 30.06/30.44 0 ==> 0
% 30.06/30.44 1 ==> 1
% 30.06/30.44 2 ==> 2
% 30.06/30.44 end
% 30.06/30.44
% 30.06/30.44 subsumption: (13) {G0,W10,D2,L2,V4,M2} I { ! cyclic( X, Y, Z, T ), cyclic(
% 30.06/30.44 X, Y, T, Z ) }.
% 30.06/30.44 parent0: (52675) {G0,W10,D2,L2,V4,M2} { ! cyclic( X, Y, Z, T ), cyclic( X
% 30.06/30.44 , Y, T, Z ) }.
% 30.06/30.44 substitution0:
% 30.06/30.44 X := X
% 30.06/30.44 Y := Y
% 30.06/30.44 Z := Z
% 30.06/30.44 T := T
% 30.06/30.44 end
% 30.06/30.44 permutation0:
% 30.06/30.44 0 ==> 0
% 30.06/30.44 1 ==> 1
% 30.06/30.44 end
% 30.06/30.44
% 30.06/30.44 subsumption: (14) {G0,W10,D2,L2,V4,M2} I { ! cyclic( X, Y, Z, T ), cyclic(
% 30.06/30.44 X, Z, Y, T ) }.
% 30.06/30.44 parent0: (52676) {G0,W10,D2,L2,V4,M2} { ! cyclic( X, Y, Z, T ), cyclic( X
% 30.06/30.44 , Z, Y, T ) }.
% 30.06/30.44 substitution0:
% 30.06/30.44 X := X
% 30.06/30.44 Y := Y
% 30.06/30.44 Z := Z
% 30.06/30.44 T := T
% 30.06/30.44 end
% 30.06/30.44 permutation0:
% 30.06/30.44 0 ==> 0
% 30.06/30.44 1 ==> 1
% 30.06/30.44 end
% 30.06/30.44
% 30.06/30.44 subsumption: (15) {G0,W10,D2,L2,V4,M2} I { ! cyclic( X, Y, Z, T ), cyclic(
% 30.06/30.44 Y, X, Z, T ) }.
% 30.06/30.44 parent0: (52677) {G0,W10,D2,L2,V4,M2} { ! cyclic( X, Y, Z, T ), cyclic( Y
% 30.06/30.44 , X, Z, T ) }.
% 30.06/30.44 substitution0:
% 30.06/30.44 X := X
% 30.06/30.44 Y := Y
% 30.06/30.44 Z := Z
% 30.06/30.44 T := T
% 30.06/30.44 end
% 30.06/30.44 permutation0:
% 30.06/30.44 0 ==> 0
% 30.06/30.44 1 ==> 1
% 30.06/30.44 end
% 30.06/30.44
% 30.06/30.44 subsumption: (16) {G0,W15,D2,L3,V5,M3} I { ! cyclic( U, X, Y, Z ), ! cyclic
% 30.06/30.44 ( U, X, Y, T ), cyclic( X, Y, Z, T ) }.
% 30.06/30.44 parent0: (52678) {G0,W15,D2,L3,V5,M3} { ! cyclic( U, X, Y, Z ), ! cyclic(
% 30.06/30.44 U, X, Y, T ), cyclic( X, Y, Z, T ) }.
% 30.06/30.44 substitution0:
% 30.06/30.44 X := X
% 30.06/30.44 Y := Y
% 30.06/30.44 Z := Z
% 30.06/30.44 T := T
% 30.06/30.44 U := U
% 30.06/30.44 end
% 30.06/30.44 permutation0:
% 30.06/30.44 0 ==> 0
% 30.06/30.44 1 ==> 1
% 30.06/30.44 2 ==> 2
% 30.06/30.44 end
% 30.06/30.44
% 30.06/30.44 subsumption: (18) {G0,W18,D2,L2,V8,M2} I { ! eqangle( X, Y, Z, T, U, W, V0
% 30.06/30.44 , V1 ), eqangle( Z, T, X, Y, V0, V1, U, W ) }.
% 30.06/30.44 parent0: (52680) {G0,W18,D2,L2,V8,M2} { ! eqangle( X, Y, Z, T, U, W, V0,
% 30.06/30.44 V1 ), eqangle( Z, T, X, Y, V0, V1, U, W ) }.
% 30.06/30.44 substitution0:
% 30.06/30.44 X := X
% 30.06/30.44 Y := Y
% 30.06/30.44 Z := Z
% 30.06/30.44 T := T
% 30.06/30.44 U := U
% 30.06/30.44 W := W
% 30.06/30.44 V0 := V0
% 30.06/30.44 V1 := V1
% 30.06/30.44 end
% 30.06/30.44 permutation0:
% 30.06/30.44 0 ==> 0
% 30.06/30.44 1 ==> 1
% 30.06/30.44 end
% 30.06/30.44
% 30.06/30.44 subsumption: (19) {G0,W18,D2,L2,V8,M2} I { ! eqangle( X, Y, Z, T, U, W, V0
% 30.06/30.44 , V1 ), eqangle( U, W, V0, V1, X, Y, Z, T ) }.
% 30.06/30.44 parent0: (52681) {G0,W18,D2,L2,V8,M2} { ! eqangle( X, Y, Z, T, U, W, V0,
% 30.06/30.44 V1 ), eqangle( U, W, V0, V1, X, Y, Z, T ) }.
% 30.06/30.44 substitution0:
% 30.06/30.44 X := X
% 30.06/30.44 Y := Y
% 30.06/30.44 Z := Z
% 30.06/30.44 T := T
% 30.06/30.44 U := U
% 30.06/30.44 W := W
% 30.06/30.44 V0 := V0
% 30.06/30.44 V1 := V1
% 30.06/30.44 end
% 30.06/30.44 permutation0:
% 30.06/30.44 0 ==> 0
% 30.06/30.44 1 ==> 1
% 30.06/30.44 end
% 30.06/30.44
% 30.06/30.44 subsumption: (39) {G0,W14,D2,L2,V6,M2} I { ! para( X, Y, Z, T ), eqangle( X
% 30.06/30.44 , Y, U, W, Z, T, U, W ) }.
% 30.06/30.44 parent0: (52701) {G0,W14,D2,L2,V6,M2} { ! para( X, Y, Z, T ), eqangle( X,
% 30.06/30.44 Y, U, W, Z, T, U, W ) }.
% 30.06/30.44 substitution0:
% 30.06/30.44 X := X
% 30.06/30.44 Y := Y
% 30.06/30.44 Z := Z
% 30.06/30.44 T := T
% 30.06/30.44 U := U
% 30.06/30.44 W := W
% 30.06/30.44 end
% 30.06/30.44 permutation0:
% 30.06/30.44 0 ==> 0
% 30.06/30.44 1 ==> 1
% 30.06/30.44 end
% 30.06/30.44
% 30.06/30.44 subsumption: (40) {G0,W14,D2,L2,V4,M2} I { ! cyclic( X, Y, Z, T ), eqangle
% 30.06/30.44 ( Z, X, Z, Y, T, X, T, Y ) }.
% 30.06/30.44 parent0: (52702) {G0,W14,D2,L2,V4,M2} { ! cyclic( X, Y, Z, T ), eqangle( Z
% 30.06/30.44 , X, Z, Y, T, X, T, Y ) }.
% 30.06/30.44 substitution0:
% 30.06/30.44 X := X
% 30.06/30.44 Y := Y
% 30.06/30.44 Z := Z
% 30.06/30.44 T := T
% 30.06/30.44 end
% 30.06/30.44 permutation0:
% 30.06/30.44 0 ==> 0
% 30.06/30.44 1 ==> 1
% 30.06/30.44 end
% 30.06/30.44
% 30.06/30.44 subsumption: (42) {G0,W18,D2,L3,V4,M3} I { ! eqangle( Z, X, Z, Y, T, X, T,
% 30.06/30.44 Y ), ! coll( Z, T, Y ), cyclic( X, Y, Z, T ) }.
% 30.06/30.44 parent0: (52704) {G0,W18,D2,L3,V4,M3} { ! eqangle( Z, X, Z, Y, T, X, T, Y
% 30.06/30.44 ), ! coll( Z, T, Y ), cyclic( X, Y, Z, T ) }.
% 30.06/30.44 substitution0:
% 30.06/30.44 X := X
% 30.06/30.44 Y := Y
% 30.06/30.44 Z := Z
% 30.06/30.44 T := T
% 30.06/30.44 end
% 30.06/30.44 permutation0:
% 30.06/30.44 0 ==> 0
% 30.06/30.44 1 ==> 1
% 30.06/30.44 2 ==> 2
% 30.06/30.44 end
% 30.06/30.44
% 30.06/30.44 subsumption: (43) {G0,W29,D2,L5,V6,M5} I { ! cyclic( X, Y, U, Z ), ! cyclic
% 30.06/30.44 ( X, Y, U, T ), ! cyclic( X, Y, U, W ), ! eqangle( U, X, U, Y, W, Z, W, T
% 30.06/30.44 ), cong( X, Y, Z, T ) }.
% 30.06/30.44 parent0: (52705) {G0,W29,D2,L5,V6,M5} { ! cyclic( X, Y, U, Z ), ! cyclic(
% 30.06/30.44 X, Y, U, T ), ! cyclic( X, Y, U, W ), ! eqangle( U, X, U, Y, W, Z, W, T )
% 30.06/30.44 , cong( X, Y, Z, T ) }.
% 30.06/30.44 substitution0:
% 30.06/30.44 X := X
% 30.06/30.44 Y := Y
% 30.06/30.44 Z := Z
% 30.06/30.44 T := T
% 30.06/30.44 U := U
% 30.06/30.44 W := W
% 30.06/30.44 end
% 30.06/30.44 permutation0:
% 30.06/30.44 0 ==> 0
% 30.06/30.44 1 ==> 1
% 30.06/30.44 2 ==> 2
% 30.06/30.44 3 ==> 3
% 30.06/30.44 4 ==> 4
% 30.06/30.44 end
% 30.06/30.44
% 30.06/30.44 subsumption: (56) {G0,W15,D2,L3,V4,M3} I { ! cong( X, Z, Y, Z ), ! cong( X
% 30.06/30.44 , T, Y, T ), perp( X, Y, Z, T ) }.
% 30.06/30.44 parent0: (52718) {G0,W15,D2,L3,V4,M3} { ! cong( X, Z, Y, Z ), ! cong( X, T
% 30.06/30.44 , Y, T ), perp( X, Y, Z, T ) }.
% 30.06/30.44 substitution0:
% 30.06/30.44 X := X
% 30.06/30.44 Y := Y
% 30.06/30.44 Z := Z
% 30.06/30.44 T := T
% 30.06/30.44 end
% 30.06/30.44 permutation0:
% 30.06/30.44 0 ==> 0
% 30.06/30.44 1 ==> 1
% 30.06/30.44 2 ==> 2
% 30.06/30.44 end
% 30.06/30.44
% 30.06/30.44 subsumption: (96) {G0,W14,D2,L3,V4,M3} I { ! perp( X, T, Y, Z ), ! perp( Y
% 30.06/30.44 , T, X, Z ), alpha1( X, Y, Z ) }.
% 30.06/30.44 parent0: (52759) {G0,W14,D2,L3,V4,M3} { ! perp( X, T, Y, Z ), ! perp( Y, T
% 30.06/30.44 , X, Z ), alpha1( X, Y, Z ) }.
% 30.06/30.44 substitution0:
% 30.06/30.44 X := X
% 30.06/30.44 Y := Y
% 30.06/30.44 Z := Z
% 30.06/30.44 T := T
% 30.06/30.44 end
% 30.06/30.44 permutation0:
% 30.06/30.44 0 ==> 0
% 30.06/30.44 1 ==> 1
% 30.06/30.44 2 ==> 2
% 30.06/30.44 end
% 30.06/30.44
% 30.06/30.44 subsumption: (97) {G0,W11,D3,L2,V4,M2} I { ! alpha1( X, Y, Z ), coll(
% 30.06/30.44 skol11( X, T, Z ), Z, X ) }.
% 30.06/30.44 parent0: (52760) {G0,W11,D3,L2,V4,M2} { ! alpha1( X, Y, Z ), coll( skol11
% 30.06/30.44 ( X, T, Z ), Z, X ) }.
% 30.06/30.44 substitution0:
% 30.06/30.44 X := X
% 30.06/30.44 Y := Y
% 30.06/30.44 Z := Z
% 30.06/30.44 T := T
% 30.06/30.44 end
% 30.06/30.44 permutation0:
% 30.06/30.44 0 ==> 0
% 30.06/30.44 1 ==> 1
% 30.06/30.44 end
% 30.06/30.44
% 30.06/30.44 subsumption: (119) {G0,W5,D2,L1,V0,M1} I { perp( skol20, skol22, skol22,
% 30.06/30.44 skol23 ) }.
% 30.06/30.44 parent0: (52782) {G0,W5,D2,L1,V0,M1} { perp( skol20, skol22, skol22,
% 30.06/30.44 skol23 ) }.
% 30.06/30.44 substitution0:
% 30.06/30.44 end
% 30.06/30.44 permutation0:
% 30.06/30.44 0 ==> 0
% 30.06/30.44 end
% 30.06/30.44
% 30.06/30.44 subsumption: (122) {G0,W5,D2,L1,V0,M1} I { ! para( skol20, skol23, skol22,
% 30.06/30.44 skol24 ) }.
% 30.06/30.44 parent0: (52785) {G0,W5,D2,L1,V0,M1} { ! para( skol20, skol23, skol22,
% 30.06/30.44 skol24 ) }.
% 30.06/30.44 substitution0:
% 30.06/30.44 end
% 30.06/30.44 permutation0:
% 30.06/30.44 0 ==> 0
% 30.06/30.44 end
% 30.06/30.44
% 30.06/30.44 resolution: (53110) {G1,W12,D2,L3,V4,M3} { coll( X, Z, Y ), ! coll( Z, T,
% 30.06/30.44 X ), ! coll( Z, T, Y ) }.
% 30.06/30.44 parent0[0]: (0) {G0,W8,D2,L2,V3,M2} I { ! coll( X, Y, Z ), coll( X, Z, Y )
% 30.06/30.44 }.
% 30.06/30.44 parent1[2]: (2) {G0,W12,D2,L3,V4,M3} I { ! coll( X, T, Y ), ! coll( X, T, Z
% 30.06/30.44 ), coll( Y, Z, X ) }.
% 30.06/30.44 substitution0:
% 30.06/30.44 X := X
% 30.06/30.44 Y := Y
% 30.06/30.44 Z := Z
% 30.06/30.44 end
% 30.06/30.44 substitution1:
% 30.06/30.44 X := Z
% 30.06/30.44 Y := X
% 30.06/30.44 Z := Y
% 30.06/30.44 T := T
% 30.06/30.44 end
% 30.06/30.44
% 30.06/30.44 subsumption: (187) {G1,W12,D2,L3,V4,M3} R(2,0) { ! coll( X, Y, Z ), ! coll
% 30.06/30.44 ( X, Y, T ), coll( Z, X, T ) }.
% 30.06/30.44 parent0: (53110) {G1,W12,D2,L3,V4,M3} { coll( X, Z, Y ), ! coll( Z, T, X )
% 30.06/30.44 , ! coll( Z, T, Y ) }.
% 30.06/30.44 substitution0:
% 30.06/30.44 X := Z
% 30.06/30.44 Y := T
% 30.06/30.44 Z := X
% 30.06/30.44 T := Y
% 30.06/30.44 end
% 30.06/30.44 permutation0:
% 30.06/30.44 0 ==> 2
% 30.06/30.44 1 ==> 0
% 30.06/30.44 2 ==> 1
% 30.06/30.44 end
% 30.06/30.44
% 30.06/30.44 factor: (53112) {G1,W8,D2,L2,V3,M2} { ! coll( X, Y, Z ), coll( Z, X, Z )
% 30.06/30.44 }.
% 30.06/30.44 parent0[0, 1]: (187) {G1,W12,D2,L3,V4,M3} R(2,0) { ! coll( X, Y, Z ), !
% 30.06/30.44 coll( X, Y, T ), coll( Z, X, T ) }.
% 30.06/30.44 substitution0:
% 30.06/30.44 X := X
% 30.06/30.44 Y := Y
% 30.06/30.44 Z := Z
% 30.06/30.44 T := Z
% 30.06/30.44 end
% 30.06/30.44
% 30.06/30.44 subsumption: (190) {G2,W8,D2,L2,V3,M2} F(187) { ! coll( X, Y, Z ), coll( Z
% 30.06/30.44 , X, Z ) }.
% 30.06/30.44 parent0: (53112) {G1,W8,D2,L2,V3,M2} { ! coll( X, Y, Z ), coll( Z, X, Z )
% 30.06/30.44 }.
% 30.06/30.44 substitution0:
% 30.06/30.44 X := X
% 30.06/30.44 Y := Y
% 30.06/30.44 Z := Z
% 30.06/30.44 end
% 30.06/30.44 permutation0:
% 30.06/30.44 0 ==> 0
% 30.06/30.44 1 ==> 1
% 30.06/30.44 end
% 30.06/30.44
% 30.06/30.44 resolution: (53113) {G1,W12,D2,L3,V4,M3} { coll( Z, X, Z ), ! coll( Z, T,
% 30.06/30.44 X ), ! coll( Z, T, Y ) }.
% 30.06/30.44 parent0[0]: (190) {G2,W8,D2,L2,V3,M2} F(187) { ! coll( X, Y, Z ), coll( Z,
% 30.06/30.44 X, Z ) }.
% 30.06/30.44 parent1[2]: (2) {G0,W12,D2,L3,V4,M3} I { ! coll( X, T, Y ), ! coll( X, T, Z
% 30.06/30.44 ), coll( Y, Z, X ) }.
% 30.06/30.44 substitution0:
% 30.06/30.44 X := X
% 30.06/30.44 Y := Y
% 30.06/30.44 Z := Z
% 30.06/30.44 end
% 30.06/30.44 substitution1:
% 30.06/30.44 X := Z
% 30.06/30.44 Y := X
% 30.06/30.44 Z := Y
% 30.06/30.44 T := T
% 30.06/30.44 end
% 30.06/30.44
% 30.06/30.44 subsumption: (194) {G3,W12,D2,L3,V4,M3} R(190,2) { coll( X, Y, X ), ! coll
% 30.06/30.44 ( X, Z, Y ), ! coll( X, Z, T ) }.
% 30.06/30.44 parent0: (53113) {G1,W12,D2,L3,V4,M3} { coll( Z, X, Z ), ! coll( Z, T, X )
% 30.06/30.44 , ! coll( Z, T, Y ) }.
% 30.06/30.44 substitution0:
% 30.06/30.44 X := Y
% 30.06/30.44 Y := Y
% 30.06/30.44 Z := X
% 30.06/30.44 T := Z
% 30.06/30.44 end
% 30.06/30.44 permutation0:
% 30.06/30.44 0 ==> 0
% 30.06/30.44 1 ==> 1
% 30.06/30.44 2 ==> 1
% 30.06/30.44 end
% 30.06/30.44
% 30.06/30.44 factor: (53115) {G3,W8,D2,L2,V3,M2} { coll( X, Y, X ), ! coll( X, Z, Y )
% 30.06/30.44 }.
% 30.06/30.44 parent0[1, 2]: (194) {G3,W12,D2,L3,V4,M3} R(190,2) { coll( X, Y, X ), !
% 30.06/30.44 coll( X, Z, Y ), ! coll( X, Z, T ) }.
% 30.06/30.44 substitution0:
% 30.06/30.44 X := X
% 30.06/30.44 Y := Y
% 30.06/30.44 Z := Z
% 30.06/30.44 T := Y
% 30.06/30.44 end
% 30.06/30.44
% 30.06/30.44 subsumption: (206) {G4,W8,D2,L2,V3,M2} F(194) { coll( X, Y, X ), ! coll( X
% 30.06/30.44 , Z, Y ) }.
% 30.06/30.44 parent0: (53115) {G3,W8,D2,L2,V3,M2} { coll( X, Y, X ), ! coll( X, Z, Y )
% 30.06/30.44 }.
% 30.06/30.44 substitution0:
% 30.06/30.44 X := X
% 30.06/30.44 Y := Y
% 30.06/30.44 Z := Z
% 30.06/30.44 end
% 30.06/30.44 permutation0:
% 30.06/30.44 0 ==> 0
% 30.06/30.44 1 ==> 1
% 30.06/30.44 end
% 30.06/30.44
% 30.06/30.44 resolution: (53116) {G1,W5,D2,L1,V0,M1} { ! para( skol20, skol23, skol24,
% 30.06/30.44 skol22 ) }.
% 30.06/30.44 parent0[0]: (122) {G0,W5,D2,L1,V0,M1} I { ! para( skol20, skol23, skol22,
% 30.06/30.44 skol24 ) }.
% 30.06/30.44 parent1[1]: (3) {G0,W10,D2,L2,V4,M2} I { ! para( X, Y, Z, T ), para( X, Y,
% 30.06/30.44 T, Z ) }.
% 30.06/30.44 substitution0:
% 30.06/30.44 end
% 30.06/30.44 substitution1:
% 30.06/30.44 X := skol20
% 30.06/30.44 Y := skol23
% 30.06/30.44 Z := skol24
% 30.06/30.44 T := skol22
% 30.06/30.44 end
% 30.06/30.44
% 30.06/30.44 subsumption: (212) {G1,W5,D2,L1,V0,M1} R(3,122) { ! para( skol20, skol23,
% 30.06/30.44 skol24, skol22 ) }.
% 30.06/30.44 parent0: (53116) {G1,W5,D2,L1,V0,M1} { ! para( skol20, skol23, skol24,
% 30.06/30.44 skol22 ) }.
% 30.06/30.44 substitution0:
% 30.06/30.44 end
% 30.06/30.44 permutation0:
% 30.06/30.44 0 ==> 0
% 30.06/30.44 end
% 30.06/30.44
% 30.06/30.44 resolution: (53117) {G1,W15,D2,L3,V6,M3} { ! para( Z, T, U, W ), para( X,
% 30.06/30.44 Y, U, W ), ! para( Z, T, X, Y ) }.
% 30.06/30.44 parent0[0]: (5) {G0,W15,D2,L3,V6,M3} I { ! para( X, Y, U, W ), ! para( U, W
% 30.06/30.44 , Z, T ), para( X, Y, Z, T ) }.
% 30.06/30.44 parent1[1]: (4) {G0,W10,D2,L2,V4,M2} I { ! para( X, Y, Z, T ), para( Z, T,
% 30.06/30.44 X, Y ) }.
% 30.06/30.44 substitution0:
% 30.06/30.44 X := X
% 30.06/30.44 Y := Y
% 30.06/30.44 Z := U
% 30.06/30.44 T := W
% 30.06/30.44 U := Z
% 30.06/30.44 W := T
% 30.06/30.44 end
% 30.06/30.44 substitution1:
% 30.06/30.44 X := Z
% 30.06/30.44 Y := T
% 30.06/30.44 Z := X
% 30.06/30.44 T := Y
% 30.06/30.44 end
% 30.06/30.44
% 30.06/30.44 subsumption: (232) {G1,W15,D2,L3,V6,M3} R(5,4) { ! para( X, Y, Z, T ), para
% 30.06/30.44 ( U, W, Z, T ), ! para( X, Y, U, W ) }.
% 30.06/30.44 parent0: (53117) {G1,W15,D2,L3,V6,M3} { ! para( Z, T, U, W ), para( X, Y,
% 30.06/30.44 U, W ), ! para( Z, T, X, Y ) }.
% 30.06/30.44 substitution0:
% 30.06/30.44 X := U
% 30.06/30.44 Y := W
% 30.06/30.44 Z := X
% 30.06/30.44 T := Y
% 30.06/30.44 U := Z
% 30.06/30.44 W := T
% 30.06/30.44 end
% 30.06/30.44 permutation0:
% 30.06/30.44 0 ==> 0
% 30.06/30.44 1 ==> 1
% 30.06/30.44 2 ==> 2
% 30.06/30.44 end
% 30.06/30.44
% 30.06/30.44 factor: (53121) {G1,W10,D2,L2,V4,M2} { ! para( X, Y, Z, T ), para( Z, T, Z
% 30.06/30.44 , T ) }.
% 30.06/30.44 parent0[0, 2]: (232) {G1,W15,D2,L3,V6,M3} R(5,4) { ! para( X, Y, Z, T ),
% 30.06/30.44 para( U, W, Z, T ), ! para( X, Y, U, W ) }.
% 30.06/30.44 substitution0:
% 30.06/30.44 X := X
% 30.06/30.44 Y := Y
% 30.06/30.44 Z := Z
% 30.06/30.44 T := T
% 30.06/30.44 U := Z
% 30.06/30.44 W := T
% 30.06/30.44 end
% 30.06/30.44
% 30.06/30.44 subsumption: (239) {G2,W10,D2,L2,V4,M2} F(232) { ! para( X, Y, Z, T ), para
% 30.06/30.44 ( Z, T, Z, T ) }.
% 30.06/30.44 parent0: (53121) {G1,W10,D2,L2,V4,M2} { ! para( X, Y, Z, T ), para( Z, T,
% 30.06/30.44 Z, T ) }.
% 30.06/30.44 substitution0:
% 30.06/30.44 X := X
% 30.06/30.44 Y := Y
% 30.06/30.44 Z := Z
% 30.06/30.44 T := T
% 30.06/30.44 end
% 30.06/30.44 permutation0:
% 30.06/30.44 0 ==> 0
% 30.06/30.44 1 ==> 1
% 30.06/30.44 end
% 30.06/30.44
% 30.06/30.44 resolution: (53122) {G1,W5,D2,L1,V0,M1} { perp( skol22, skol23, skol20,
% 30.06/30.44 skol22 ) }.
% 30.06/30.44 parent0[0]: (7) {G0,W10,D2,L2,V4,M2} I { ! perp( X, Y, Z, T ), perp( Z, T,
% 30.06/30.44 X, Y ) }.
% 30.06/30.44 parent1[0]: (119) {G0,W5,D2,L1,V0,M1} I { perp( skol20, skol22, skol22,
% 30.06/30.44 skol23 ) }.
% 30.06/30.44 substitution0:
% 30.06/30.44 X := skol20
% 30.06/30.44 Y := skol22
% 30.06/30.44 Z := skol22
% 30.06/30.44 T := skol23
% 30.06/30.44 end
% 30.06/30.44 substitution1:
% 30.06/30.44 end
% 30.06/30.44
% 30.06/30.44 subsumption: (261) {G1,W5,D2,L1,V0,M1} R(7,119) { perp( skol22, skol23,
% 30.06/30.44 skol20, skol22 ) }.
% 30.06/30.44 parent0: (53122) {G1,W5,D2,L1,V0,M1} { perp( skol22, skol23, skol20,
% 30.06/30.44 skol22 ) }.
% 30.06/30.44 substitution0:
% 30.06/30.44 end
% 30.06/30.44 permutation0:
% 30.06/30.44 0 ==> 0
% 30.06/30.44 end
% 30.06/30.44
% 30.06/30.44 resolution: (53123) {G1,W15,D2,L3,V6,M3} { ! perp( Z, T, U, W ), para( X,
% 30.06/30.44 Y, U, W ), ! perp( Z, T, X, Y ) }.
% 30.06/30.44 parent0[0]: (8) {G0,W15,D2,L3,V6,M3} I { ! perp( X, Y, U, W ), ! perp( U, W
% 30.06/30.44 , Z, T ), para( X, Y, Z, T ) }.
% 30.06/30.44 parent1[1]: (7) {G0,W10,D2,L2,V4,M2} I { ! perp( X, Y, Z, T ), perp( Z, T,
% 30.06/30.44 X, Y ) }.
% 30.06/30.44 substitution0:
% 30.06/30.44 X := X
% 30.06/30.44 Y := Y
% 30.06/30.44 Z := U
% 30.06/30.44 T := W
% 30.06/30.44 U := Z
% 30.06/30.44 W := T
% 30.06/30.44 end
% 30.06/30.44 substitution1:
% 30.06/30.44 X := Z
% 30.06/30.44 Y := T
% 30.06/30.44 Z := X
% 30.06/30.44 T := Y
% 30.06/30.44 end
% 30.06/30.44
% 30.06/30.44 subsumption: (271) {G1,W15,D2,L3,V6,M3} R(8,7) { ! perp( X, Y, Z, T ), para
% 30.06/30.44 ( U, W, Z, T ), ! perp( X, Y, U, W ) }.
% 30.06/30.44 parent0: (53123) {G1,W15,D2,L3,V6,M3} { ! perp( Z, T, U, W ), para( X, Y,
% 30.06/30.44 U, W ), ! perp( Z, T, X, Y ) }.
% 30.06/30.44 substitution0:
% 30.06/30.44 X := U
% 30.06/30.44 Y := W
% 30.06/30.44 Z := X
% 30.06/30.44 T := Y
% 30.06/30.44 U := Z
% 30.06/30.44 W := T
% 30.06/30.44 end
% 30.06/30.44 permutation0:
% 30.06/30.44 0 ==> 0
% 30.06/30.44 1 ==> 1
% 30.06/30.44 2 ==> 2
% 30.06/30.44 end
% 30.06/30.44
% 30.06/30.44 resolution: (53127) {G1,W10,D2,L2,V2,M2} { ! perp( skol22, skol23, X, Y )
% 30.06/30.44 , para( skol20, skol22, X, Y ) }.
% 30.06/30.44 parent0[0]: (8) {G0,W15,D2,L3,V6,M3} I { ! perp( X, Y, U, W ), ! perp( U, W
% 30.06/30.44 , Z, T ), para( X, Y, Z, T ) }.
% 30.06/30.44 parent1[0]: (119) {G0,W5,D2,L1,V0,M1} I { perp( skol20, skol22, skol22,
% 30.06/30.44 skol23 ) }.
% 30.06/30.44 substitution0:
% 30.06/30.44 X := skol20
% 30.06/30.44 Y := skol22
% 30.06/30.44 Z := X
% 30.06/30.44 T := Y
% 30.06/30.44 U := skol22
% 30.06/30.44 W := skol23
% 30.06/30.44 end
% 30.06/30.44 substitution1:
% 30.06/30.44 end
% 30.06/30.44
% 30.06/30.44 subsumption: (280) {G1,W10,D2,L2,V2,M2} R(8,119) { ! perp( skol22, skol23,
% 30.06/30.44 X, Y ), para( skol20, skol22, X, Y ) }.
% 30.06/30.44 parent0: (53127) {G1,W10,D2,L2,V2,M2} { ! perp( skol22, skol23, X, Y ),
% 30.06/30.44 para( skol20, skol22, X, Y ) }.
% 30.06/30.44 substitution0:
% 30.06/30.44 X := X
% 30.06/30.44 Y := Y
% 30.06/30.44 end
% 30.06/30.44 permutation0:
% 30.06/30.44 0 ==> 0
% 30.06/30.44 1 ==> 1
% 30.06/30.44 end
% 30.06/30.44
% 30.06/30.44 resolution: (53129) {G1,W5,D2,L1,V0,M1} { perp( skol22, skol23, skol22,
% 30.06/30.44 skol20 ) }.
% 30.06/30.44 parent0[0]: (6) {G0,W10,D2,L2,V4,M2} I { ! perp( X, Y, Z, T ), perp( X, Y,
% 30.06/30.44 T, Z ) }.
% 30.06/30.44 parent1[0]: (261) {G1,W5,D2,L1,V0,M1} R(7,119) { perp( skol22, skol23,
% 30.06/30.44 skol20, skol22 ) }.
% 30.06/30.44 substitution0:
% 30.06/30.44 X := skol22
% 30.06/30.44 Y := skol23
% 30.06/30.44 Z := skol20
% 30.06/30.44 T := skol22
% 30.06/30.44 end
% 30.06/30.44 substitution1:
% 30.06/30.44 end
% 30.06/30.44
% 30.06/30.44 subsumption: (317) {G2,W5,D2,L1,V0,M1} R(261,6) { perp( skol22, skol23,
% 30.06/30.44 skol22, skol20 ) }.
% 30.06/30.44 parent0: (53129) {G1,W5,D2,L1,V0,M1} { perp( skol22, skol23, skol22,
% 30.06/30.44 skol20 ) }.
% 30.06/30.44 substitution0:
% 30.06/30.44 end
% 30.06/30.44 permutation0:
% 30.06/30.44 0 ==> 0
% 30.06/30.44 end
% 30.06/30.44
% 30.06/30.44 resolution: (53130) {G1,W10,D2,L2,V2,M2} { ! para( skol20, skol23, X, Y )
% 30.06/30.44 , ! para( X, Y, skol24, skol22 ) }.
% 30.06/30.44 parent0[0]: (212) {G1,W5,D2,L1,V0,M1} R(3,122) { ! para( skol20, skol23,
% 30.06/30.44 skol24, skol22 ) }.
% 30.06/30.44 parent1[2]: (5) {G0,W15,D2,L3,V6,M3} I { ! para( X, Y, U, W ), ! para( U, W
% 30.06/30.44 , Z, T ), para( X, Y, Z, T ) }.
% 30.06/30.44 substitution0:
% 30.06/30.44 end
% 30.06/30.44 substitution1:
% 30.06/30.44 X := skol20
% 30.06/30.44 Y := skol23
% 30.06/30.44 Z := skol24
% 30.06/30.44 T := skol22
% 30.06/30.44 U := X
% 30.06/30.44 W := Y
% 30.06/30.44 end
% 30.06/30.44
% 30.06/30.44 subsumption: (361) {G2,W10,D2,L2,V2,M2} R(212,5) { ! para( skol20, skol23,
% 30.06/30.44 X, Y ), ! para( X, Y, skol24, skol22 ) }.
% 30.06/30.44 parent0: (53130) {G1,W10,D2,L2,V2,M2} { ! para( skol20, skol23, X, Y ), !
% 30.06/30.44 para( X, Y, skol24, skol22 ) }.
% 30.06/30.44 substitution0:
% 30.06/30.44 X := X
% 30.06/30.44 Y := Y
% 30.06/30.44 end
% 30.06/30.44 permutation0:
% 30.06/30.44 0 ==> 0
% 30.06/30.44 1 ==> 1
% 30.06/30.44 end
% 30.06/30.44
% 30.06/30.44 resolution: (53132) {G1,W10,D2,L2,V4,M2} { cyclic( X, Y, T, Z ), ! cyclic
% 30.06/30.44 ( X, Z, Y, T ) }.
% 30.06/30.44 parent0[0]: (13) {G0,W10,D2,L2,V4,M2} I { ! cyclic( X, Y, Z, T ), cyclic( X
% 30.06/30.44 , Y, T, Z ) }.
% 30.06/30.44 parent1[1]: (14) {G0,W10,D2,L2,V4,M2} I { ! cyclic( X, Y, Z, T ), cyclic( X
% 30.06/30.44 , Z, Y, T ) }.
% 30.06/30.44 substitution0:
% 30.06/30.44 X := X
% 30.06/30.44 Y := Y
% 30.06/30.44 Z := Z
% 30.06/30.44 T := T
% 30.06/30.44 end
% 30.06/30.44 substitution1:
% 30.06/30.44 X := X
% 30.06/30.44 Y := Z
% 30.06/30.44 Z := Y
% 30.06/30.44 T := T
% 30.06/30.44 end
% 30.06/30.44
% 30.06/30.44 subsumption: (369) {G1,W10,D2,L2,V4,M2} R(14,13) { ! cyclic( X, Y, Z, T ),
% 30.06/30.44 cyclic( X, Z, T, Y ) }.
% 30.06/30.44 parent0: (53132) {G1,W10,D2,L2,V4,M2} { cyclic( X, Y, T, Z ), ! cyclic( X
% 30.06/30.44 , Z, Y, T ) }.
% 30.06/30.44 substitution0:
% 30.06/30.44 X := X
% 30.06/30.44 Y := Z
% 30.06/30.44 Z := Y
% 30.06/30.44 T := T
% 30.06/30.44 end
% 30.06/30.44 permutation0:
% 30.06/30.44 0 ==> 1
% 30.06/30.44 1 ==> 0
% 30.06/30.44 end
% 30.06/30.44
% 30.06/30.44 resolution: (53134) {G1,W8,D2,L2,V3,M2} { coll( Y, X, X ), ! coll( X, Z, Y
% 30.06/30.44 ) }.
% 30.06/30.44 parent0[0]: (1) {G0,W8,D2,L2,V3,M2} I { ! coll( X, Y, Z ), coll( Y, X, Z )
% 30.06/30.44 }.
% 30.06/30.44 parent1[0]: (206) {G4,W8,D2,L2,V3,M2} F(194) { coll( X, Y, X ), ! coll( X,
% 30.06/30.44 Z, Y ) }.
% 30.06/30.44 substitution0:
% 30.06/30.44 X := X
% 30.06/30.44 Y := Y
% 30.06/30.44 Z := X
% 30.06/30.44 end
% 30.06/30.44 substitution1:
% 30.06/30.44 X := X
% 30.06/30.44 Y := Y
% 30.06/30.44 Z := Z
% 30.06/30.44 end
% 30.06/30.44
% 30.06/30.44 subsumption: (371) {G5,W8,D2,L2,V3,M2} R(206,1) { ! coll( X, Y, Z ), coll(
% 30.06/30.44 Z, X, X ) }.
% 30.06/30.44 parent0: (53134) {G1,W8,D2,L2,V3,M2} { coll( Y, X, X ), ! coll( X, Z, Y )
% 30.06/30.44 }.
% 30.06/30.44 substitution0:
% 30.06/30.44 X := X
% 30.06/30.44 Y := Z
% 30.06/30.44 Z := Y
% 30.06/30.44 end
% 30.06/30.44 permutation0:
% 30.06/30.44 0 ==> 1
% 30.06/30.44 1 ==> 0
% 30.06/30.44 end
% 30.06/30.44
% 30.06/30.44 resolution: (53135) {G1,W8,D2,L2,V3,M2} { coll( Z, X, X ), ! coll( Y, X, Z
% 30.06/30.44 ) }.
% 30.06/30.44 parent0[0]: (371) {G5,W8,D2,L2,V3,M2} R(206,1) { ! coll( X, Y, Z ), coll( Z
% 30.06/30.44 , X, X ) }.
% 30.06/30.44 parent1[1]: (1) {G0,W8,D2,L2,V3,M2} I { ! coll( X, Y, Z ), coll( Y, X, Z )
% 30.06/30.44 }.
% 30.06/30.44 substitution0:
% 30.06/30.44 X := X
% 30.06/30.44 Y := Y
% 30.06/30.44 Z := Z
% 30.06/30.44 end
% 30.06/30.44 substitution1:
% 30.06/30.44 X := Y
% 30.06/30.44 Y := X
% 30.06/30.44 Z := Z
% 30.06/30.44 end
% 30.06/30.44
% 30.06/30.44 subsumption: (377) {G6,W8,D2,L2,V3,M2} R(371,1) { coll( X, Y, Y ), ! coll(
% 30.06/30.44 Z, Y, X ) }.
% 30.06/30.44 parent0: (53135) {G1,W8,D2,L2,V3,M2} { coll( Z, X, X ), ! coll( Y, X, Z )
% 30.06/30.44 }.
% 30.06/30.44 substitution0:
% 30.06/30.44 X := Y
% 30.06/30.44 Y := Z
% 30.06/30.44 Z := X
% 30.06/30.44 end
% 30.06/30.44 permutation0:
% 30.06/30.44 0 ==> 0
% 30.06/30.44 1 ==> 1
% 30.06/30.44 end
% 30.06/30.44
% 30.06/30.44 resolution: (53136) {G1,W8,D2,L2,V3,M2} { coll( Z, X, X ), ! coll( X, Z, Y
% 30.06/30.44 ) }.
% 30.06/30.44 parent0[0]: (371) {G5,W8,D2,L2,V3,M2} R(206,1) { ! coll( X, Y, Z ), coll( Z
% 30.06/30.44 , X, X ) }.
% 30.06/30.44 parent1[1]: (0) {G0,W8,D2,L2,V3,M2} I { ! coll( X, Y, Z ), coll( X, Z, Y )
% 30.06/30.44 }.
% 30.06/30.44 substitution0:
% 30.06/30.44 X := X
% 30.06/30.44 Y := Y
% 30.06/30.44 Z := Z
% 30.06/30.44 end
% 30.06/30.44 substitution1:
% 30.06/30.44 X := X
% 30.06/30.44 Y := Z
% 30.06/30.44 Z := Y
% 30.06/30.44 end
% 30.06/30.44
% 30.06/30.44 subsumption: (379) {G6,W8,D2,L2,V3,M2} R(371,0) { coll( X, Y, Y ), ! coll(
% 30.06/30.44 Y, X, Z ) }.
% 30.06/30.44 parent0: (53136) {G1,W8,D2,L2,V3,M2} { coll( Z, X, X ), ! coll( X, Z, Y )
% 30.06/30.44 }.
% 30.06/30.44 substitution0:
% 30.06/30.44 X := Y
% 30.06/30.44 Y := Z
% 30.06/30.44 Z := X
% 30.06/30.44 end
% 30.06/30.44 permutation0:
% 30.06/30.44 0 ==> 0
% 30.06/30.44 1 ==> 1
% 30.06/30.44 end
% 30.06/30.44
% 30.06/30.44 resolution: (53138) {G6,W8,D2,L2,V3,M2} { coll( Y, X, X ), ! coll( Z, Y, X
% 30.06/30.44 ) }.
% 30.06/30.44 parent0[0]: (371) {G5,W8,D2,L2,V3,M2} R(206,1) { ! coll( X, Y, Z ), coll( Z
% 30.06/30.44 , X, X ) }.
% 30.06/30.44 parent1[0]: (377) {G6,W8,D2,L2,V3,M2} R(371,1) { coll( X, Y, Y ), ! coll( Z
% 30.06/30.44 , Y, X ) }.
% 30.06/30.44 substitution0:
% 30.06/30.44 X := X
% 30.06/30.44 Y := Y
% 30.06/30.44 Z := Y
% 30.06/30.44 end
% 30.06/30.44 substitution1:
% 30.06/30.44 X := X
% 30.06/30.44 Y := Y
% 30.06/30.44 Z := Z
% 30.06/30.44 end
% 30.06/30.44
% 30.06/30.44 subsumption: (380) {G7,W8,D2,L2,V3,M2} R(377,371) { ! coll( X, Y, Z ), coll
% 30.06/30.44 ( Y, Z, Z ) }.
% 30.06/30.44 parent0: (53138) {G6,W8,D2,L2,V3,M2} { coll( Y, X, X ), ! coll( Z, Y, X )
% 30.06/30.44 }.
% 30.06/30.44 substitution0:
% 30.06/30.44 X := Z
% 30.06/30.44 Y := Y
% 30.06/30.44 Z := X
% 30.06/30.44 end
% 30.06/30.44 permutation0:
% 30.06/30.44 0 ==> 1
% 30.06/30.44 1 ==> 0
% 30.06/30.44 end
% 30.06/30.44
% 30.06/30.44 resolution: (53139) {G1,W10,D2,L2,V4,M2} { cyclic( Y, X, Z, T ), ! cyclic
% 30.06/30.44 ( X, Z, Y, T ) }.
% 30.06/30.44 parent0[0]: (15) {G0,W10,D2,L2,V4,M2} I { ! cyclic( X, Y, Z, T ), cyclic( Y
% 30.06/30.44 , X, Z, T ) }.
% 30.06/30.44 parent1[1]: (14) {G0,W10,D2,L2,V4,M2} I { ! cyclic( X, Y, Z, T ), cyclic( X
% 30.06/30.44 , Z, Y, T ) }.
% 30.06/30.44 substitution0:
% 30.06/30.44 X := X
% 30.06/30.44 Y := Y
% 30.06/30.44 Z := Z
% 30.06/30.44 T := T
% 30.06/30.44 end
% 30.06/30.44 substitution1:
% 30.06/30.44 X := X
% 30.06/30.44 Y := Z
% 30.06/30.44 Z := Y
% 30.06/30.44 T := T
% 30.06/30.44 end
% 30.06/30.44
% 30.06/30.44 subsumption: (383) {G1,W10,D2,L2,V4,M2} R(15,14) { cyclic( X, Y, Z, T ), !
% 30.06/30.44 cyclic( Y, Z, X, T ) }.
% 30.06/30.44 parent0: (53139) {G1,W10,D2,L2,V4,M2} { cyclic( Y, X, Z, T ), ! cyclic( X
% 30.06/30.44 , Z, Y, T ) }.
% 30.06/30.44 substitution0:
% 30.06/30.44 X := Y
% 30.06/30.44 Y := X
% 30.06/30.44 Z := Z
% 30.06/30.44 T := T
% 30.06/30.44 end
% 30.06/30.44 permutation0:
% 30.06/30.44 0 ==> 0
% 30.06/30.44 1 ==> 1
% 30.06/30.44 end
% 30.06/30.44
% 30.06/30.44 resolution: (53140) {G1,W10,D2,L2,V4,M2} { cyclic( Y, X, Z, T ), ! cyclic
% 30.06/30.44 ( X, Y, T, Z ) }.
% 30.06/30.44 parent0[0]: (15) {G0,W10,D2,L2,V4,M2} I { ! cyclic( X, Y, Z, T ), cyclic( Y
% 30.06/30.44 , X, Z, T ) }.
% 30.06/30.44 parent1[1]: (13) {G0,W10,D2,L2,V4,M2} I { ! cyclic( X, Y, Z, T ), cyclic( X
% 30.06/30.44 , Y, T, Z ) }.
% 30.06/30.44 substitution0:
% 30.06/30.44 X := X
% 30.06/30.44 Y := Y
% 30.06/30.44 Z := Z
% 30.06/30.44 T := T
% 30.06/30.44 end
% 30.06/30.44 substitution1:
% 30.06/30.44 X := X
% 30.06/30.44 Y := Y
% 30.06/30.44 Z := T
% 30.06/30.44 T := Z
% 30.06/30.44 end
% 30.06/30.44
% 30.06/30.44 subsumption: (385) {G1,W10,D2,L2,V4,M2} R(15,13) { cyclic( X, Y, Z, T ), !
% 30.06/30.44 cyclic( Y, X, T, Z ) }.
% 30.06/30.44 parent0: (53140) {G1,W10,D2,L2,V4,M2} { cyclic( Y, X, Z, T ), ! cyclic( X
% 30.06/30.44 , Y, T, Z ) }.
% 30.06/30.44 substitution0:
% 30.06/30.44 X := Y
% 30.06/30.44 Y := X
% 30.06/30.44 Z := Z
% 30.06/30.44 T := T
% 30.06/30.44 end
% 30.06/30.44 permutation0:
% 30.06/30.44 0 ==> 0
% 30.06/30.44 1 ==> 1
% 30.06/30.44 end
% 30.06/30.44
% 30.06/30.44 resolution: (53144) {G1,W15,D2,L3,V5,M3} { cyclic( Y, X, Z, T ), ! cyclic
% 30.06/30.44 ( U, X, Y, Z ), ! cyclic( U, X, Y, T ) }.
% 30.06/30.44 parent0[0]: (15) {G0,W10,D2,L2,V4,M2} I { ! cyclic( X, Y, Z, T ), cyclic( Y
% 30.06/30.44 , X, Z, T ) }.
% 30.06/30.44 parent1[2]: (16) {G0,W15,D2,L3,V5,M3} I { ! cyclic( U, X, Y, Z ), ! cyclic
% 30.06/30.44 ( U, X, Y, T ), cyclic( X, Y, Z, T ) }.
% 30.06/30.44 substitution0:
% 30.06/30.44 X := X
% 30.06/30.44 Y := Y
% 30.06/30.44 Z := Z
% 30.06/30.44 T := T
% 30.06/30.44 end
% 30.06/30.44 substitution1:
% 30.06/30.44 X := X
% 30.06/30.44 Y := Y
% 30.06/30.44 Z := Z
% 30.06/30.44 T := T
% 30.06/30.44 U := U
% 30.06/30.44 end
% 30.06/30.44
% 30.06/30.44 subsumption: (404) {G1,W15,D2,L3,V5,M3} R(16,15) { ! cyclic( X, Y, Z, T ),
% 30.06/30.44 ! cyclic( X, Y, Z, U ), cyclic( Z, Y, T, U ) }.
% 30.06/30.44 parent0: (53144) {G1,W15,D2,L3,V5,M3} { cyclic( Y, X, Z, T ), ! cyclic( U
% 30.06/30.44 , X, Y, Z ), ! cyclic( U, X, Y, T ) }.
% 30.06/30.44 substitution0:
% 30.06/30.44 X := Y
% 30.06/30.44 Y := Z
% 30.06/30.44 Z := T
% 30.06/30.44 T := U
% 30.06/30.44 U := X
% 30.06/30.44 end
% 30.06/30.44 permutation0:
% 30.06/30.44 0 ==> 2
% 30.06/30.44 1 ==> 0
% 30.06/30.44 2 ==> 1
% 30.06/30.44 end
% 30.06/30.44
% 30.06/30.44 resolution: (53147) {G1,W15,D2,L3,V5,M3} { ! cyclic( X, Y, Z, T ), cyclic
% 30.06/30.44 ( Y, Z, T, U ), ! cyclic( X, Y, U, Z ) }.
% 30.06/30.44 parent0[1]: (16) {G0,W15,D2,L3,V5,M3} I { ! cyclic( U, X, Y, Z ), ! cyclic
% 30.06/30.44 ( U, X, Y, T ), cyclic( X, Y, Z, T ) }.
% 30.06/30.44 parent1[1]: (13) {G0,W10,D2,L2,V4,M2} I { ! cyclic( X, Y, Z, T ), cyclic( X
% 30.06/30.44 , Y, T, Z ) }.
% 30.06/30.44 substitution0:
% 30.06/30.44 X := Y
% 30.06/30.44 Y := Z
% 30.06/30.44 Z := T
% 30.06/30.44 T := U
% 30.06/30.44 U := X
% 30.06/30.44 end
% 30.06/30.44 substitution1:
% 30.06/30.44 X := X
% 30.06/30.44 Y := Y
% 30.06/30.44 Z := U
% 30.06/30.44 T := Z
% 30.06/30.44 end
% 30.06/30.44
% 30.06/30.44 subsumption: (409) {G1,W15,D2,L3,V5,M3} R(16,13) { ! cyclic( X, Y, Z, T ),
% 30.06/30.44 cyclic( Y, Z, T, U ), ! cyclic( X, Y, U, Z ) }.
% 30.06/30.44 parent0: (53147) {G1,W15,D2,L3,V5,M3} { ! cyclic( X, Y, Z, T ), cyclic( Y
% 30.06/30.44 , Z, T, U ), ! cyclic( X, Y, U, Z ) }.
% 30.06/30.44 substitution0:
% 30.06/30.44 X := X
% 30.06/30.44 Y := Y
% 30.06/30.44 Z := Z
% 30.06/30.44 T := T
% 30.06/30.44 U := U
% 30.06/30.44 end
% 30.06/30.44 permutation0:
% 30.06/30.44 0 ==> 0
% 30.06/30.44 1 ==> 1
% 30.06/30.44 2 ==> 2
% 30.06/30.44 end
% 30.06/30.44
% 30.06/30.44 factor: (53149) {G1,W10,D2,L2,V4,M2} { ! cyclic( X, Y, Z, T ), cyclic( Z,
% 30.06/30.44 Y, T, T ) }.
% 30.06/30.44 parent0[0, 1]: (404) {G1,W15,D2,L3,V5,M3} R(16,15) { ! cyclic( X, Y, Z, T )
% 30.06/30.44 , ! cyclic( X, Y, Z, U ), cyclic( Z, Y, T, U ) }.
% 30.06/30.44 substitution0:
% 30.06/30.44 X := X
% 30.06/30.44 Y := Y
% 30.06/30.44 Z := Z
% 30.06/30.44 T := T
% 30.06/30.44 U := T
% 30.06/30.44 end
% 30.06/30.44
% 30.06/30.44 subsumption: (413) {G2,W10,D2,L2,V4,M2} F(404) { ! cyclic( X, Y, Z, T ),
% 30.06/30.44 cyclic( Z, Y, T, T ) }.
% 30.06/30.44 parent0: (53149) {G1,W10,D2,L2,V4,M2} { ! cyclic( X, Y, Z, T ), cyclic( Z
% 30.06/30.44 , Y, T, T ) }.
% 30.06/30.44 substitution0:
% 30.06/30.44 X := X
% 30.06/30.44 Y := Y
% 30.06/30.44 Z := Z
% 30.06/30.44 T := T
% 30.06/30.44 end
% 30.06/30.44 permutation0:
% 30.06/30.44 0 ==> 0
% 30.06/30.44 1 ==> 1
% 30.06/30.44 end
% 30.06/30.44
% 30.06/30.44 resolution: (53150) {G7,W8,D2,L2,V3,M2} { coll( X, Y, Y ), ! coll( X, Y, Z
% 30.06/30.44 ) }.
% 30.06/30.44 parent0[1]: (379) {G6,W8,D2,L2,V3,M2} R(371,0) { coll( X, Y, Y ), ! coll( Y
% 30.06/30.44 , X, Z ) }.
% 30.06/30.44 parent1[0]: (379) {G6,W8,D2,L2,V3,M2} R(371,0) { coll( X, Y, Y ), ! coll( Y
% 30.06/30.44 , X, Z ) }.
% 30.06/30.44 substitution0:
% 30.06/30.44 X := X
% 30.06/30.44 Y := Y
% 30.06/30.44 Z := X
% 30.06/30.44 end
% 30.06/30.44 substitution1:
% 30.06/30.44 X := Y
% 30.06/30.44 Y := X
% 30.06/30.44 Z := Z
% 30.06/30.44 end
% 30.06/30.44
% 30.06/30.44 subsumption: (445) {G7,W8,D2,L2,V3,M2} R(379,379) { ! coll( X, Y, Z ), coll
% 30.06/30.44 ( X, Y, Y ) }.
% 30.06/30.44 parent0: (53150) {G7,W8,D2,L2,V3,M2} { coll( X, Y, Y ), ! coll( X, Y, Z )
% 30.06/30.44 }.
% 30.06/30.44 substitution0:
% 30.06/30.44 X := X
% 30.06/30.44 Y := Y
% 30.06/30.44 Z := Z
% 30.06/30.44 end
% 30.06/30.44 permutation0:
% 30.06/30.44 0 ==> 1
% 30.06/30.44 1 ==> 0
% 30.06/30.44 end
% 30.06/30.44
% 30.06/30.44 resolution: (53154) {G1,W12,D2,L3,V4,M3} { ! coll( X, Y, Z ), coll( Z, Y,
% 30.06/30.44 X ), ! coll( X, Y, T ) }.
% 30.06/30.44 parent0[1]: (2) {G0,W12,D2,L3,V4,M3} I { ! coll( X, T, Y ), ! coll( X, T, Z
% 30.06/30.44 ), coll( Y, Z, X ) }.
% 30.06/30.44 parent1[1]: (445) {G7,W8,D2,L2,V3,M2} R(379,379) { ! coll( X, Y, Z ), coll
% 30.06/30.44 ( X, Y, Y ) }.
% 30.06/30.44 substitution0:
% 30.06/30.44 X := X
% 30.06/30.44 Y := Z
% 30.06/30.44 Z := Y
% 30.06/30.44 T := Y
% 30.06/30.44 end
% 30.06/30.44 substitution1:
% 30.06/30.44 X := X
% 30.06/30.44 Y := Y
% 30.06/30.44 Z := T
% 30.06/30.44 end
% 30.06/30.44
% 30.06/30.44 subsumption: (448) {G8,W12,D2,L3,V4,M3} R(445,2) { ! coll( X, Y, Z ), !
% 30.06/30.44 coll( X, Y, T ), coll( T, Y, X ) }.
% 30.06/30.44 parent0: (53154) {G1,W12,D2,L3,V4,M3} { ! coll( X, Y, Z ), coll( Z, Y, X )
% 30.06/30.44 , ! coll( X, Y, T ) }.
% 30.06/30.44 substitution0:
% 30.06/30.44 X := X
% 30.06/30.44 Y := Y
% 30.06/30.44 Z := T
% 30.06/30.44 T := Z
% 30.06/30.44 end
% 30.06/30.44 permutation0:
% 30.06/30.44 0 ==> 1
% 30.06/30.44 1 ==> 2
% 30.06/30.44 2 ==> 0
% 30.06/30.44 end
% 30.06/30.44
% 30.06/30.44 factor: (53157) {G8,W8,D2,L2,V3,M2} { ! coll( X, Y, Z ), coll( Z, Y, X )
% 30.06/30.44 }.
% 30.06/30.44 parent0[0, 1]: (448) {G8,W12,D2,L3,V4,M3} R(445,2) { ! coll( X, Y, Z ), !
% 30.06/30.44 coll( X, Y, T ), coll( T, Y, X ) }.
% 30.06/30.44 substitution0:
% 30.06/30.44 X := X
% 30.06/30.44 Y := Y
% 30.06/30.44 Z := Z
% 30.06/30.44 T := Z
% 30.06/30.44 end
% 30.06/30.44
% 30.06/30.44 subsumption: (449) {G9,W8,D2,L2,V3,M2} F(448) { ! coll( X, Y, Z ), coll( Z
% 30.06/30.44 , Y, X ) }.
% 30.06/30.44 parent0: (53157) {G8,W8,D2,L2,V3,M2} { ! coll( X, Y, Z ), coll( Z, Y, X )
% 30.06/30.44 }.
% 30.06/30.44 substitution0:
% 30.06/30.44 X := X
% 30.06/30.44 Y := Y
% 30.06/30.44 Z := Z
% 30.06/30.44 end
% 30.06/30.44 permutation0:
% 30.06/30.44 0 ==> 0
% 30.06/30.44 1 ==> 1
% 30.06/30.44 end
% 30.06/30.44
% 30.06/30.44 resolution: (53158) {G8,W8,D2,L2,V3,M2} { coll( Y, Y, X ), ! coll( Z, X, Y
% 30.06/30.44 ) }.
% 30.06/30.44 parent0[0]: (449) {G9,W8,D2,L2,V3,M2} F(448) { ! coll( X, Y, Z ), coll( Z,
% 30.06/30.44 Y, X ) }.
% 30.06/30.44 parent1[1]: (380) {G7,W8,D2,L2,V3,M2} R(377,371) { ! coll( X, Y, Z ), coll
% 30.06/30.44 ( Y, Z, Z ) }.
% 30.06/30.44 substitution0:
% 30.06/30.44 X := X
% 30.06/30.44 Y := Y
% 30.06/30.44 Z := Y
% 30.06/30.44 end
% 30.06/30.44 substitution1:
% 30.06/30.44 X := Z
% 30.06/30.44 Y := X
% 30.06/30.44 Z := Y
% 30.06/30.44 end
% 30.06/30.44
% 30.06/30.44 subsumption: (452) {G10,W8,D2,L2,V3,M2} R(449,380) { coll( X, X, Y ), !
% 30.06/30.44 coll( Z, Y, X ) }.
% 30.06/30.44 parent0: (53158) {G8,W8,D2,L2,V3,M2} { coll( Y, Y, X ), ! coll( Z, X, Y )
% 30.06/30.44 }.
% 30.06/30.44 substitution0:
% 30.06/30.44 X := Y
% 30.06/30.44 Y := X
% 30.06/30.44 Z := Z
% 30.06/30.44 end
% 30.06/30.44 permutation0:
% 30.06/30.44 0 ==> 0
% 30.06/30.44 1 ==> 1
% 30.06/30.44 end
% 30.06/30.44
% 30.06/30.44 resolution: (53159) {G1,W14,D2,L2,V6,M2} { eqangle( Z, T, X, Y, Z, T, U, W
% 30.06/30.44 ), ! para( X, Y, U, W ) }.
% 30.06/30.44 parent0[0]: (18) {G0,W18,D2,L2,V8,M2} I { ! eqangle( X, Y, Z, T, U, W, V0,
% 30.06/30.44 V1 ), eqangle( Z, T, X, Y, V0, V1, U, W ) }.
% 30.06/30.44 parent1[1]: (39) {G0,W14,D2,L2,V6,M2} I { ! para( X, Y, Z, T ), eqangle( X
% 30.06/30.44 , Y, U, W, Z, T, U, W ) }.
% 30.06/30.44 substitution0:
% 30.06/30.44 X := X
% 30.06/30.44 Y := Y
% 30.06/30.44 Z := Z
% 30.06/30.44 T := T
% 30.06/30.44 U := U
% 30.06/30.44 W := W
% 30.06/30.44 V0 := Z
% 30.06/30.44 V1 := T
% 30.06/30.44 end
% 30.06/30.44 substitution1:
% 30.06/30.44 X := X
% 30.06/30.44 Y := Y
% 30.06/30.44 Z := U
% 30.06/30.44 T := W
% 30.06/30.44 U := Z
% 30.06/30.44 W := T
% 30.06/30.44 end
% 30.06/30.44
% 30.06/30.44 subsumption: (774) {G1,W14,D2,L2,V6,M2} R(39,18) { ! para( X, Y, Z, T ),
% 30.06/30.44 eqangle( U, W, X, Y, U, W, Z, T ) }.
% 30.06/30.44 parent0: (53159) {G1,W14,D2,L2,V6,M2} { eqangle( Z, T, X, Y, Z, T, U, W )
% 30.06/30.44 , ! para( X, Y, U, W ) }.
% 30.06/30.44 substitution0:
% 30.06/30.44 X := X
% 30.06/30.44 Y := Y
% 30.06/30.44 Z := U
% 30.06/30.44 T := W
% 30.06/30.44 U := Z
% 30.06/30.44 W := T
% 30.06/30.44 end
% 30.06/30.44 permutation0:
% 30.06/30.44 0 ==> 1
% 30.06/30.44 1 ==> 0
% 30.06/30.44 end
% 30.06/30.44
% 30.06/30.44 resolution: (53160) {G1,W18,D2,L3,V4,M3} { ! coll( X, T, Z ), cyclic( Y, Z
% 30.06/30.44 , X, T ), ! eqangle( T, Y, T, Z, X, Y, X, Z ) }.
% 30.06/30.44 parent0[0]: (42) {G0,W18,D2,L3,V4,M3} I { ! eqangle( Z, X, Z, Y, T, X, T, Y
% 30.06/30.44 ), ! coll( Z, T, Y ), cyclic( X, Y, Z, T ) }.
% 30.06/30.44 parent1[1]: (19) {G0,W18,D2,L2,V8,M2} I { ! eqangle( X, Y, Z, T, U, W, V0,
% 30.06/30.44 V1 ), eqangle( U, W, V0, V1, X, Y, Z, T ) }.
% 30.06/30.44 substitution0:
% 30.06/30.44 X := Y
% 30.06/30.44 Y := Z
% 30.06/30.44 Z := X
% 30.06/30.44 T := T
% 30.06/30.44 end
% 30.06/30.44 substitution1:
% 30.06/30.44 X := T
% 30.06/30.44 Y := Y
% 30.06/30.44 Z := T
% 30.06/30.44 T := Z
% 30.06/30.44 U := X
% 30.06/30.44 W := Y
% 30.06/30.44 V0 := X
% 30.06/30.44 V1 := Z
% 30.06/30.44 end
% 30.06/30.44
% 30.06/30.44 subsumption: (846) {G1,W18,D2,L3,V4,M3} R(42,19) { ! coll( X, Y, Z ),
% 30.06/30.44 cyclic( T, Z, X, Y ), ! eqangle( Y, T, Y, Z, X, T, X, Z ) }.
% 30.06/30.44 parent0: (53160) {G1,W18,D2,L3,V4,M3} { ! coll( X, T, Z ), cyclic( Y, Z, X
% 30.06/30.44 , T ), ! eqangle( T, Y, T, Z, X, Y, X, Z ) }.
% 30.06/30.44 substitution0:
% 30.06/30.44 X := X
% 30.06/30.44 Y := T
% 30.06/30.44 Z := Z
% 30.06/30.44 T := Y
% 30.06/30.44 end
% 30.06/30.44 permutation0:
% 30.06/30.44 0 ==> 0
% 30.06/30.44 1 ==> 1
% 30.06/30.44 2 ==> 2
% 30.06/30.44 end
% 30.06/30.44
% 30.06/30.44 resolution: (53161) {G1,W25,D2,L5,V4,M5} { ! cyclic( X, Y, Z, X ), !
% 30.06/30.44 cyclic( X, Y, Z, Y ), ! cyclic( X, Y, Z, T ), cong( X, Y, X, Y ), !
% 30.06/30.44 cyclic( X, Y, Z, T ) }.
% 30.06/30.44 parent0[3]: (43) {G0,W29,D2,L5,V6,M5} I { ! cyclic( X, Y, U, Z ), ! cyclic
% 30.06/30.45 ( X, Y, U, T ), ! cyclic( X, Y, U, W ), ! eqangle( U, X, U, Y, W, Z, W, T
% 30.06/30.45 ), cong( X, Y, Z, T ) }.
% 30.06/30.45 parent1[1]: (40) {G0,W14,D2,L2,V4,M2} I { ! cyclic( X, Y, Z, T ), eqangle(
% 30.06/30.45 Z, X, Z, Y, T, X, T, Y ) }.
% 30.06/30.45 substitution0:
% 30.06/30.45 X := X
% 30.06/30.45 Y := Y
% 30.06/30.45 Z := X
% 30.06/30.45 T := Y
% 30.06/30.45 U := Z
% 30.06/30.45 W := T
% 30.06/30.45 end
% 30.06/30.45 substitution1:
% 30.06/30.45 X := X
% 30.06/30.45 Y := Y
% 30.06/30.45 Z := Z
% 30.06/30.45 T := T
% 30.06/30.45 end
% 30.06/30.45
% 30.06/30.45 factor: (53163) {G1,W20,D2,L4,V3,M4} { ! cyclic( X, Y, Z, X ), ! cyclic( X
% 30.06/30.45 , Y, Z, Y ), cong( X, Y, X, Y ), ! cyclic( X, Y, Z, X ) }.
% 30.06/30.45 parent0[0, 2]: (53161) {G1,W25,D2,L5,V4,M5} { ! cyclic( X, Y, Z, X ), !
% 30.06/30.45 cyclic( X, Y, Z, Y ), ! cyclic( X, Y, Z, T ), cong( X, Y, X, Y ), !
% 30.06/30.45 cyclic( X, Y, Z, T ) }.
% 30.06/30.45 substitution0:
% 30.06/30.45 X := X
% 30.06/30.45 Y := Y
% 30.06/30.45 Z := Z
% 30.06/30.45 T := X
% 30.06/30.45 end
% 30.06/30.45
% 30.06/30.45 subsumption: (900) {G1,W20,D2,L4,V4,M4} R(43,40);f { ! cyclic( X, Y, Z, X )
% 30.06/30.45 , ! cyclic( X, Y, Z, Y ), ! cyclic( X, Y, Z, T ), cong( X, Y, X, Y ) }.
% 30.06/30.45 parent0: (53163) {G1,W20,D2,L4,V3,M4} { ! cyclic( X, Y, Z, X ), ! cyclic(
% 30.06/30.45 X, Y, Z, Y ), cong( X, Y, X, Y ), ! cyclic( X, Y, Z, X ) }.
% 30.06/30.45 substitution0:
% 30.06/30.45 X := X
% 30.06/30.45 Y := Y
% 30.06/30.45 Z := Z
% 30.06/30.45 end
% 30.06/30.45 permutation0:
% 30.06/30.45 0 ==> 0
% 30.06/30.45 1 ==> 1
% 30.06/30.45 2 ==> 3
% 30.06/30.45 3 ==> 0
% 30.06/30.45 end
% 30.06/30.45
% 30.06/30.45 factor: (53168) {G1,W15,D2,L3,V3,M3} { ! cyclic( X, Y, Z, X ), ! cyclic( X
% 30.06/30.45 , Y, Z, Y ), cong( X, Y, X, Y ) }.
% 30.06/30.45 parent0[0, 2]: (900) {G1,W20,D2,L4,V4,M4} R(43,40);f { ! cyclic( X, Y, Z, X
% 30.06/30.45 ), ! cyclic( X, Y, Z, Y ), ! cyclic( X, Y, Z, T ), cong( X, Y, X, Y )
% 30.06/30.45 }.
% 30.06/30.45 substitution0:
% 30.06/30.45 X := X
% 30.06/30.45 Y := Y
% 30.06/30.45 Z := Z
% 30.06/30.45 T := X
% 30.06/30.45 end
% 30.06/30.45
% 30.06/30.45 subsumption: (932) {G2,W15,D2,L3,V3,M3} F(900) { ! cyclic( X, Y, Z, X ), !
% 30.06/30.45 cyclic( X, Y, Z, Y ), cong( X, Y, X, Y ) }.
% 30.06/30.45 parent0: (53168) {G1,W15,D2,L3,V3,M3} { ! cyclic( X, Y, Z, X ), ! cyclic(
% 30.06/30.45 X, Y, Z, Y ), cong( X, Y, X, Y ) }.
% 30.06/30.45 substitution0:
% 30.06/30.45 X := X
% 30.06/30.45 Y := Y
% 30.06/30.45 Z := Z
% 30.06/30.45 end
% 30.06/30.45 permutation0:
% 30.06/30.45 0 ==> 0
% 30.06/30.45 1 ==> 1
% 30.06/30.45 2 ==> 2
% 30.06/30.45 end
% 30.06/30.45
% 30.06/30.45 resolution: (53170) {G1,W9,D2,L2,V0,M2} { ! perp( skol22, skol23, skol22,
% 30.06/30.45 skol20 ), alpha1( skol22, skol22, skol20 ) }.
% 30.06/30.45 parent0[0]: (96) {G0,W14,D2,L3,V4,M3} I { ! perp( X, T, Y, Z ), ! perp( Y,
% 30.06/30.45 T, X, Z ), alpha1( X, Y, Z ) }.
% 30.06/30.45 parent1[0]: (317) {G2,W5,D2,L1,V0,M1} R(261,6) { perp( skol22, skol23,
% 30.06/30.45 skol22, skol20 ) }.
% 30.06/30.45 substitution0:
% 30.06/30.45 X := skol22
% 30.06/30.45 Y := skol22
% 30.06/30.45 Z := skol20
% 30.06/30.45 T := skol23
% 30.06/30.45 end
% 30.06/30.45 substitution1:
% 30.06/30.45 end
% 30.06/30.45
% 30.06/30.45 resolution: (53171) {G2,W4,D2,L1,V0,M1} { alpha1( skol22, skol22, skol20 )
% 30.06/30.45 }.
% 30.06/30.45 parent0[0]: (53170) {G1,W9,D2,L2,V0,M2} { ! perp( skol22, skol23, skol22,
% 30.06/30.45 skol20 ), alpha1( skol22, skol22, skol20 ) }.
% 30.06/30.45 parent1[0]: (317) {G2,W5,D2,L1,V0,M1} R(261,6) { perp( skol22, skol23,
% 30.06/30.45 skol22, skol20 ) }.
% 30.06/30.45 substitution0:
% 30.06/30.45 end
% 30.06/30.45 substitution1:
% 30.06/30.45 end
% 30.06/30.45
% 30.06/30.45 subsumption: (4052) {G3,W4,D2,L1,V0,M1} R(96,317);r(317) { alpha1( skol22,
% 30.06/30.45 skol22, skol20 ) }.
% 30.06/30.45 parent0: (53171) {G2,W4,D2,L1,V0,M1} { alpha1( skol22, skol22, skol20 )
% 30.06/30.45 }.
% 30.06/30.45 substitution0:
% 30.06/30.45 end
% 30.06/30.45 permutation0:
% 30.06/30.45 0 ==> 0
% 30.06/30.45 end
% 30.06/30.45
% 30.06/30.45 resolution: (53172) {G1,W7,D3,L1,V1,M1} { coll( skol11( skol22, X, skol20
% 30.06/30.45 ), skol20, skol22 ) }.
% 30.06/30.45 parent0[0]: (97) {G0,W11,D3,L2,V4,M2} I { ! alpha1( X, Y, Z ), coll( skol11
% 30.06/30.45 ( X, T, Z ), Z, X ) }.
% 30.06/30.45 parent1[0]: (4052) {G3,W4,D2,L1,V0,M1} R(96,317);r(317) { alpha1( skol22,
% 30.06/30.45 skol22, skol20 ) }.
% 30.06/30.45 substitution0:
% 30.06/30.45 X := skol22
% 30.06/30.45 Y := skol22
% 30.06/30.45 Z := skol20
% 30.06/30.45 T := X
% 30.06/30.45 end
% 30.06/30.45 substitution1:
% 30.06/30.45 end
% 30.06/30.45
% 30.06/30.45 subsumption: (4196) {G4,W7,D3,L1,V1,M1} R(4052,97) { coll( skol11( skol22,
% 30.06/30.45 X, skol20 ), skol20, skol22 ) }.
% 30.06/30.45 parent0: (53172) {G1,W7,D3,L1,V1,M1} { coll( skol11( skol22, X, skol20 ),
% 30.06/30.45 skol20, skol22 ) }.
% 30.06/30.45 substitution0:
% 30.06/30.45 X := X
% 30.06/30.45 end
% 30.06/30.45 permutation0:
% 30.06/30.45 0 ==> 0
% 30.06/30.45 end
% 30.06/30.45
% 30.06/30.45 resolution: (53173) {G5,W4,D2,L1,V0,M1} { coll( skol22, skol22, skol20 )
% 30.06/30.45 }.
% 30.06/30.45 parent0[1]: (452) {G10,W8,D2,L2,V3,M2} R(449,380) { coll( X, X, Y ), ! coll
% 30.06/30.45 ( Z, Y, X ) }.
% 30.06/30.45 parent1[0]: (4196) {G4,W7,D3,L1,V1,M1} R(4052,97) { coll( skol11( skol22, X
% 30.06/30.45 , skol20 ), skol20, skol22 ) }.
% 30.06/30.45 substitution0:
% 30.06/30.45 X := skol22
% 30.06/30.45 Y := skol20
% 30.06/30.45 Z := skol11( skol22, X, skol20 )
% 30.06/30.45 end
% 30.06/30.45 substitution1:
% 30.06/30.45 X := X
% 30.06/30.45 end
% 30.06/30.45
% 30.06/30.45 subsumption: (5748) {G11,W4,D2,L1,V0,M1} R(4196,452) { coll( skol22, skol22
% 30.06/30.45 , skol20 ) }.
% 30.06/30.45 parent0: (53173) {G5,W4,D2,L1,V0,M1} { coll( skol22, skol22, skol20 ) }.
% 30.06/30.45 substitution0:
% 30.06/30.45 end
% 30.06/30.45 permutation0:
% 30.06/30.45 0 ==> 0
% 30.06/30.45 end
% 30.06/30.45
% 30.06/30.45 resolution: (53174) {G2,W5,D2,L1,V0,M1} { para( skol20, skol22, skol22,
% 30.06/30.45 skol20 ) }.
% 30.06/30.45 parent0[0]: (280) {G1,W10,D2,L2,V2,M2} R(8,119) { ! perp( skol22, skol23, X
% 30.06/30.45 , Y ), para( skol20, skol22, X, Y ) }.
% 30.06/30.45 parent1[0]: (317) {G2,W5,D2,L1,V0,M1} R(261,6) { perp( skol22, skol23,
% 30.06/30.45 skol22, skol20 ) }.
% 30.06/30.45 substitution0:
% 30.06/30.45 X := skol22
% 30.06/30.45 Y := skol20
% 30.06/30.45 end
% 30.06/30.45 substitution1:
% 30.06/30.45 end
% 30.06/30.45
% 30.06/30.45 subsumption: (15201) {G3,W5,D2,L1,V0,M1} R(280,317) { para( skol20, skol22
% 30.06/30.45 , skol22, skol20 ) }.
% 30.06/30.45 parent0: (53174) {G2,W5,D2,L1,V0,M1} { para( skol20, skol22, skol22,
% 30.06/30.45 skol20 ) }.
% 30.06/30.45 substitution0:
% 30.06/30.45 end
% 30.06/30.45 permutation0:
% 30.06/30.45 0 ==> 0
% 30.06/30.45 end
% 30.06/30.45
% 30.06/30.45 resolution: (53175) {G3,W5,D2,L1,V0,M1} { para( skol22, skol20, skol22,
% 30.06/30.45 skol20 ) }.
% 30.06/30.45 parent0[0]: (239) {G2,W10,D2,L2,V4,M2} F(232) { ! para( X, Y, Z, T ), para
% 30.06/30.45 ( Z, T, Z, T ) }.
% 30.06/30.45 parent1[0]: (15201) {G3,W5,D2,L1,V0,M1} R(280,317) { para( skol20, skol22,
% 30.06/30.45 skol22, skol20 ) }.
% 30.06/30.45 substitution0:
% 30.06/30.45 X := skol20
% 30.06/30.45 Y := skol22
% 30.06/30.45 Z := skol22
% 30.06/30.45 T := skol20
% 30.06/30.45 end
% 30.06/30.45 substitution1:
% 30.06/30.45 end
% 30.06/30.45
% 30.06/30.45 subsumption: (15205) {G4,W5,D2,L1,V0,M1} R(15201,239) { para( skol22,
% 30.06/30.45 skol20, skol22, skol20 ) }.
% 30.06/30.45 parent0: (53175) {G3,W5,D2,L1,V0,M1} { para( skol22, skol20, skol22,
% 30.06/30.45 skol20 ) }.
% 30.06/30.45 substitution0:
% 30.06/30.45 end
% 30.06/30.45 permutation0:
% 30.06/30.45 0 ==> 0
% 30.06/30.45 end
% 30.06/30.45
% 30.06/30.45 resolution: (53176) {G2,W9,D2,L1,V2,M1} { eqangle( X, Y, skol22, skol20, X
% 30.06/30.45 , Y, skol22, skol20 ) }.
% 30.06/30.45 parent0[0]: (774) {G1,W14,D2,L2,V6,M2} R(39,18) { ! para( X, Y, Z, T ),
% 30.06/30.45 eqangle( U, W, X, Y, U, W, Z, T ) }.
% 30.06/30.45 parent1[0]: (15205) {G4,W5,D2,L1,V0,M1} R(15201,239) { para( skol22, skol20
% 30.06/30.45 , skol22, skol20 ) }.
% 30.06/30.45 substitution0:
% 30.06/30.45 X := skol22
% 30.06/30.45 Y := skol20
% 30.06/30.45 Z := skol22
% 30.06/30.45 T := skol20
% 30.06/30.45 U := X
% 30.06/30.45 W := Y
% 30.06/30.45 end
% 30.06/30.45 substitution1:
% 30.06/30.45 end
% 30.06/30.45
% 30.06/30.45 subsumption: (44955) {G5,W9,D2,L1,V2,M1} R(774,15205) { eqangle( X, Y,
% 30.06/30.45 skol22, skol20, X, Y, skol22, skol20 ) }.
% 30.06/30.45 parent0: (53176) {G2,W9,D2,L1,V2,M1} { eqangle( X, Y, skol22, skol20, X, Y
% 30.06/30.45 , skol22, skol20 ) }.
% 30.06/30.45 substitution0:
% 30.06/30.45 X := X
% 30.06/30.45 Y := Y
% 30.06/30.45 end
% 30.06/30.45 permutation0:
% 30.06/30.45 0 ==> 0
% 30.06/30.45 end
% 30.06/30.45
% 30.06/30.45 resolution: (53177) {G2,W14,D2,L2,V1,M2} { cyclic( X, skol20, skol22,
% 30.06/30.45 skol22 ), ! eqangle( skol22, X, skol22, skol20, skol22, X, skol22, skol20
% 30.06/30.45 ) }.
% 30.06/30.45 parent0[0]: (846) {G1,W18,D2,L3,V4,M3} R(42,19) { ! coll( X, Y, Z ), cyclic
% 30.06/30.45 ( T, Z, X, Y ), ! eqangle( Y, T, Y, Z, X, T, X, Z ) }.
% 30.06/30.45 parent1[0]: (5748) {G11,W4,D2,L1,V0,M1} R(4196,452) { coll( skol22, skol22
% 30.06/30.45 , skol20 ) }.
% 30.06/30.45 substitution0:
% 30.06/30.45 X := skol22
% 30.06/30.45 Y := skol22
% 30.06/30.45 Z := skol20
% 30.06/30.45 T := X
% 30.06/30.45 end
% 30.06/30.45 substitution1:
% 30.06/30.45 end
% 30.06/30.45
% 30.06/30.45 resolution: (53178) {G3,W5,D2,L1,V1,M1} { cyclic( X, skol20, skol22,
% 30.06/30.45 skol22 ) }.
% 30.06/30.45 parent0[1]: (53177) {G2,W14,D2,L2,V1,M2} { cyclic( X, skol20, skol22,
% 30.06/30.45 skol22 ), ! eqangle( skol22, X, skol22, skol20, skol22, X, skol22, skol20
% 30.06/30.45 ) }.
% 30.06/30.45 parent1[0]: (44955) {G5,W9,D2,L1,V2,M1} R(774,15205) { eqangle( X, Y,
% 30.06/30.45 skol22, skol20, X, Y, skol22, skol20 ) }.
% 30.06/30.45 substitution0:
% 30.06/30.45 X := X
% 30.06/30.45 end
% 30.06/30.45 substitution1:
% 30.06/30.45 X := skol22
% 30.06/30.45 Y := X
% 30.06/30.45 end
% 30.06/30.45
% 30.06/30.45 subsumption: (48324) {G12,W5,D2,L1,V1,M1} R(846,5748);r(44955) { cyclic( X
% 30.06/30.45 , skol20, skol22, skol22 ) }.
% 30.06/30.45 parent0: (53178) {G3,W5,D2,L1,V1,M1} { cyclic( X, skol20, skol22, skol22 )
% 30.06/30.45 }.
% 30.06/30.45 substitution0:
% 30.06/30.45 X := X
% 30.06/30.45 end
% 30.06/30.45 permutation0:
% 30.06/30.45 0 ==> 0
% 30.06/30.45 end
% 30.06/30.45
% 30.06/30.45 resolution: (53179) {G2,W5,D2,L1,V1,M1} { cyclic( skol20, X, skol22,
% 30.06/30.45 skol22 ) }.
% 30.06/30.45 parent0[1]: (385) {G1,W10,D2,L2,V4,M2} R(15,13) { cyclic( X, Y, Z, T ), !
% 30.06/30.45 cyclic( Y, X, T, Z ) }.
% 30.06/30.45 parent1[0]: (48324) {G12,W5,D2,L1,V1,M1} R(846,5748);r(44955) { cyclic( X,
% 30.06/30.45 skol20, skol22, skol22 ) }.
% 30.06/30.45 substitution0:
% 30.06/30.45 X := skol20
% 30.06/30.45 Y := X
% 30.06/30.45 Z := skol22
% 30.06/30.45 T := skol22
% 30.06/30.45 end
% 30.06/30.45 substitution1:
% 30.06/30.45 X := X
% 30.06/30.45 end
% 30.06/30.45
% 30.06/30.45 subsumption: (48390) {G13,W5,D2,L1,V1,M1} R(48324,385) { cyclic( skol20, X
% 30.06/30.45 , skol22, skol22 ) }.
% 30.06/30.45 parent0: (53179) {G2,W5,D2,L1,V1,M1} { cyclic( skol20, X, skol22, skol22 )
% 30.06/30.45 }.
% 30.06/30.45 substitution0:
% 30.06/30.45 X := X
% 30.06/30.45 end
% 30.06/30.45 permutation0:
% 30.06/30.45 0 ==> 0
% 30.06/30.45 end
% 30.06/30.45
% 30.06/30.45 resolution: (53180) {G3,W5,D2,L1,V1,M1} { cyclic( skol22, X, skol22,
% 30.06/30.45 skol22 ) }.
% 30.06/30.45 parent0[0]: (413) {G2,W10,D2,L2,V4,M2} F(404) { ! cyclic( X, Y, Z, T ),
% 30.06/30.45 cyclic( Z, Y, T, T ) }.
% 30.06/30.45 parent1[0]: (48390) {G13,W5,D2,L1,V1,M1} R(48324,385) { cyclic( skol20, X,
% 30.06/30.45 skol22, skol22 ) }.
% 30.06/30.45 substitution0:
% 30.06/30.45 X := skol20
% 30.06/30.45 Y := X
% 30.06/30.45 Z := skol22
% 30.06/30.45 T := skol22
% 30.06/30.45 end
% 30.06/30.45 substitution1:
% 30.06/30.45 X := X
% 30.06/30.45 end
% 30.06/30.45
% 30.06/30.45 subsumption: (48402) {G14,W5,D2,L1,V1,M1} R(48390,413) { cyclic( skol22, X
% 30.06/30.45 , skol22, skol22 ) }.
% 30.06/30.45 parent0: (53180) {G3,W5,D2,L1,V1,M1} { cyclic( skol22, X, skol22, skol22 )
% 30.06/30.45 }.
% 30.06/30.45 substitution0:
% 30.06/30.45 X := X
% 30.06/30.45 end
% 30.06/30.45 permutation0:
% 30.06/30.45 0 ==> 0
% 30.06/30.45 end
% 30.06/30.45
% 30.06/30.45 resolution: (53181) {G2,W5,D2,L1,V1,M1} { cyclic( skol22, skol22, X,
% 30.06/30.45 skol22 ) }.
% 30.06/30.45 parent0[1]: (383) {G1,W10,D2,L2,V4,M2} R(15,14) { cyclic( X, Y, Z, T ), !
% 30.06/30.45 cyclic( Y, Z, X, T ) }.
% 30.06/30.45 parent1[0]: (48402) {G14,W5,D2,L1,V1,M1} R(48390,413) { cyclic( skol22, X,
% 30.06/30.45 skol22, skol22 ) }.
% 30.06/30.45 substitution0:
% 30.06/30.45 X := skol22
% 30.06/30.45 Y := skol22
% 30.06/30.45 Z := X
% 30.06/30.45 T := skol22
% 30.06/30.45 end
% 30.06/30.45 substitution1:
% 30.06/30.45 X := X
% 30.06/30.45 end
% 30.06/30.45
% 30.06/30.45 subsumption: (48424) {G15,W5,D2,L1,V1,M1} R(48402,383) { cyclic( skol22,
% 30.06/30.45 skol22, X, skol22 ) }.
% 30.06/30.45 parent0: (53181) {G2,W5,D2,L1,V1,M1} { cyclic( skol22, skol22, X, skol22 )
% 30.06/30.45 }.
% 30.06/30.45 substitution0:
% 30.06/30.45 X := X
% 30.06/30.45 end
% 30.06/30.45 permutation0:
% 30.06/30.45 0 ==> 0
% 30.06/30.45 end
% 30.06/30.45
% 30.06/30.45 resolution: (53182) {G2,W5,D2,L1,V1,M1} { cyclic( skol22, skol22, skol22,
% 30.06/30.45 X ) }.
% 30.06/30.45 parent0[0]: (369) {G1,W10,D2,L2,V4,M2} R(14,13) { ! cyclic( X, Y, Z, T ),
% 30.06/30.45 cyclic( X, Z, T, Y ) }.
% 30.06/30.45 parent1[0]: (48402) {G14,W5,D2,L1,V1,M1} R(48390,413) { cyclic( skol22, X,
% 30.06/30.45 skol22, skol22 ) }.
% 30.06/30.45 substitution0:
% 30.06/30.45 X := skol22
% 30.06/30.45 Y := X
% 30.06/30.45 Z := skol22
% 30.06/30.45 T := skol22
% 30.06/30.45 end
% 30.06/30.45 substitution1:
% 30.06/30.45 X := X
% 30.06/30.45 end
% 30.06/30.45
% 30.06/30.45 subsumption: (48425) {G15,W5,D2,L1,V1,M1} R(48402,369) { cyclic( skol22,
% 30.06/30.45 skol22, skol22, X ) }.
% 30.06/30.45 parent0: (53182) {G2,W5,D2,L1,V1,M1} { cyclic( skol22, skol22, skol22, X )
% 30.06/30.45 }.
% 30.06/30.45 substitution0:
% 30.06/30.45 X := X
% 30.06/30.45 end
% 30.06/30.45 permutation0:
% 30.06/30.45 0 ==> 0
% 30.06/30.45 end
% 30.06/30.45
% 30.06/30.45 resolution: (53184) {G2,W10,D2,L2,V2,M2} { ! cyclic( skol22, skol22,
% 30.06/30.45 skol22, X ), cyclic( skol22, skol22, X, Y ) }.
% 30.06/30.45 parent0[2]: (409) {G1,W15,D2,L3,V5,M3} R(16,13) { ! cyclic( X, Y, Z, T ),
% 30.06/30.45 cyclic( Y, Z, T, U ), ! cyclic( X, Y, U, Z ) }.
% 30.06/30.45 parent1[0]: (48424) {G15,W5,D2,L1,V1,M1} R(48402,383) { cyclic( skol22,
% 30.06/30.45 skol22, X, skol22 ) }.
% 30.06/30.45 substitution0:
% 30.06/30.45 X := skol22
% 30.06/30.45 Y := skol22
% 30.06/30.45 Z := skol22
% 30.06/30.45 T := X
% 30.06/30.45 U := Y
% 30.06/30.45 end
% 30.06/30.45 substitution1:
% 30.06/30.45 X := Y
% 30.06/30.45 end
% 30.06/30.45
% 30.06/30.45 resolution: (53185) {G3,W5,D2,L1,V2,M1} { cyclic( skol22, skol22, X, Y )
% 30.06/30.45 }.
% 30.06/30.45 parent0[0]: (53184) {G2,W10,D2,L2,V2,M2} { ! cyclic( skol22, skol22,
% 30.06/30.45 skol22, X ), cyclic( skol22, skol22, X, Y ) }.
% 30.06/30.45 parent1[0]: (48425) {G15,W5,D2,L1,V1,M1} R(48402,369) { cyclic( skol22,
% 30.06/30.45 skol22, skol22, X ) }.
% 30.06/30.45 substitution0:
% 30.06/30.45 X := X
% 30.06/30.45 Y := Y
% 30.06/30.45 end
% 30.06/30.45 substitution1:
% 30.06/30.45 X := X
% 30.06/30.45 end
% 30.06/30.45
% 30.06/30.45 subsumption: (48430) {G16,W5,D2,L1,V2,M1} R(48424,409);r(48425) { cyclic(
% 30.06/30.45 skol22, skol22, X, Y ) }.
% 30.06/30.45 parent0: (53185) {G3,W5,D2,L1,V2,M1} { cyclic( skol22, skol22, X, Y ) }.
% 30.06/30.45 substitution0:
% 30.06/30.45 X := X
% 30.06/30.45 Y := Y
% 30.06/30.45 end
% 30.06/30.45 permutation0:
% 30.06/30.45 0 ==> 0
% 30.06/30.45 end
% 30.06/30.45
% 30.06/30.45 resolution: (53186) {G2,W10,D2,L2,V3,M2} { cyclic( skol22, X, Y, Z ), !
% 30.06/30.45 cyclic( skol22, skol22, Z, X ) }.
% 30.06/30.45 parent0[0]: (409) {G1,W15,D2,L3,V5,M3} R(16,13) { ! cyclic( X, Y, Z, T ),
% 30.06/30.45 cyclic( Y, Z, T, U ), ! cyclic( X, Y, U, Z ) }.
% 30.06/30.45 parent1[0]: (48430) {G16,W5,D2,L1,V2,M1} R(48424,409);r(48425) { cyclic(
% 30.06/30.45 skol22, skol22, X, Y ) }.
% 30.06/30.45 substitution0:
% 30.06/30.45 X := skol22
% 30.06/30.45 Y := skol22
% 30.06/30.45 Z := X
% 30.06/30.45 T := Y
% 30.06/30.45 U := Z
% 30.06/30.45 end
% 30.06/30.45 substitution1:
% 30.06/30.45 X := X
% 30.06/30.45 Y := Y
% 30.06/30.45 end
% 30.06/30.45
% 30.06/30.45 resolution: (53188) {G3,W5,D2,L1,V3,M1} { cyclic( skol22, X, Y, Z ) }.
% 30.06/30.45 parent0[1]: (53186) {G2,W10,D2,L2,V3,M2} { cyclic( skol22, X, Y, Z ), !
% 30.06/30.45 cyclic( skol22, skol22, Z, X ) }.
% 30.06/30.45 parent1[0]: (48430) {G16,W5,D2,L1,V2,M1} R(48424,409);r(48425) { cyclic(
% 30.06/30.45 skol22, skol22, X, Y ) }.
% 30.06/30.45 substitution0:
% 30.06/30.45 X := X
% 30.06/30.45 Y := Y
% 30.06/30.45 Z := Z
% 30.06/30.45 end
% 30.06/30.45 substitution1:
% 30.06/30.45 X := Z
% 30.06/30.45 Y := X
% 30.06/30.45 end
% 30.06/30.45
% 30.06/30.45 subsumption: (48563) {G17,W5,D2,L1,V3,M1} R(48430,409);r(48430) { cyclic(
% 30.06/30.45 skol22, X, Y, Z ) }.
% 30.06/30.45 parent0: (53188) {G3,W5,D2,L1,V3,M1} { cyclic( skol22, X, Y, Z ) }.
% 30.06/30.45 substitution0:
% 30.06/30.45 X := X
% 30.06/30.45 Y := Y
% 30.06/30.45 Z := Z
% 30.06/30.45 end
% 30.06/30.45 permutation0:
% 30.06/30.45 0 ==> 0
% 30.06/30.45 end
% 30.06/30.45
% 30.06/30.45 resolution: (53189) {G2,W10,D2,L2,V4,M2} { cyclic( X, Y, Z, T ), ! cyclic
% 30.06/30.45 ( skol22, X, T, Y ) }.
% 30.06/30.45 parent0[0]: (409) {G1,W15,D2,L3,V5,M3} R(16,13) { ! cyclic( X, Y, Z, T ),
% 30.06/30.45 cyclic( Y, Z, T, U ), ! cyclic( X, Y, U, Z ) }.
% 30.06/30.45 parent1[0]: (48563) {G17,W5,D2,L1,V3,M1} R(48430,409);r(48430) { cyclic(
% 30.06/30.45 skol22, X, Y, Z ) }.
% 30.06/30.45 substitution0:
% 30.06/30.45 X := skol22
% 30.06/30.45 Y := X
% 30.06/30.45 Z := Y
% 30.06/30.45 T := Z
% 30.06/30.45 U := T
% 30.06/30.45 end
% 30.06/30.45 substitution1:
% 30.06/30.45 X := X
% 30.06/30.45 Y := Y
% 30.06/30.45 Z := Z
% 30.06/30.45 end
% 30.06/30.45
% 30.06/30.45 resolution: (53191) {G3,W5,D2,L1,V4,M1} { cyclic( X, Y, Z, T ) }.
% 30.06/30.45 parent0[1]: (53189) {G2,W10,D2,L2,V4,M2} { cyclic( X, Y, Z, T ), ! cyclic
% 30.06/30.45 ( skol22, X, T, Y ) }.
% 30.06/30.45 parent1[0]: (48563) {G17,W5,D2,L1,V3,M1} R(48430,409);r(48430) { cyclic(
% 30.06/30.45 skol22, X, Y, Z ) }.
% 30.06/30.45 substitution0:
% 30.06/30.45 X := X
% 30.06/30.45 Y := Y
% 30.06/30.45 Z := Z
% 30.06/30.45 T := T
% 30.06/30.45 end
% 30.06/30.45 substitution1:
% 30.06/30.45 X := X
% 30.06/30.45 Y := T
% 30.06/30.45 Z := Y
% 30.06/30.45 end
% 30.06/30.45
% 30.06/30.45 subsumption: (48582) {G18,W5,D2,L1,V4,M1} R(48563,409);r(48563) { cyclic( X
% 30.06/30.45 , Y, Z, T ) }.
% 30.06/30.45 parent0: (53191) {G3,W5,D2,L1,V4,M1} { cyclic( X, Y, Z, T ) }.
% 30.06/30.45 substitution0:
% 30.06/30.45 X := X
% 30.06/30.45 Y := Y
% 30.06/30.45 Z := Z
% 30.06/30.45 T := T
% 30.06/30.45 end
% 30.06/30.45 permutation0:
% 30.06/30.45 0 ==> 0
% 30.06/30.45 end
% 30.06/30.45
% 30.06/30.45 resolution: (53194) {G3,W10,D2,L2,V3,M2} { ! cyclic( X, Y, Z, Y ), cong( X
% 30.06/30.45 , Y, X, Y ) }.
% 30.06/30.45 parent0[0]: (932) {G2,W15,D2,L3,V3,M3} F(900) { ! cyclic( X, Y, Z, X ), !
% 30.06/30.45 cyclic( X, Y, Z, Y ), cong( X, Y, X, Y ) }.
% 30.06/30.45 parent1[0]: (48582) {G18,W5,D2,L1,V4,M1} R(48563,409);r(48563) { cyclic( X
% 30.06/30.45 , Y, Z, T ) }.
% 30.06/30.45 substitution0:
% 30.06/30.45 X := X
% 30.06/30.45 Y := Y
% 30.06/30.45 Z := Z
% 30.06/30.45 end
% 30.06/30.45 substitution1:
% 30.06/30.45 X := X
% 30.06/30.45 Y := Y
% 30.06/30.45 Z := Z
% 30.06/30.45 T := X
% 30.06/30.45 end
% 30.06/30.45
% 30.06/30.45 resolution: (53196) {G4,W5,D2,L1,V2,M1} { cong( X, Y, X, Y ) }.
% 30.06/30.45 parent0[0]: (53194) {G3,W10,D2,L2,V3,M2} { ! cyclic( X, Y, Z, Y ), cong( X
% 30.06/30.45 , Y, X, Y ) }.
% 30.06/30.45 parent1[0]: (48582) {G18,W5,D2,L1,V4,M1} R(48563,409);r(48563) { cyclic( X
% 30.06/30.45 , Y, Z, T ) }.
% 30.06/30.45 substitution0:
% 30.06/30.45 X := X
% 30.06/30.45 Y := Y
% 30.06/30.45 Z := Z
% 30.06/30.45 end
% 30.06/30.45 substitution1:
% 30.06/30.45 X := X
% 30.06/30.45 Y := Y
% 30.06/30.45 Z := Z
% 30.06/30.45 T := Y
% 30.06/30.45 end
% 30.06/30.45
% 30.06/30.45 subsumption: (52418) {G19,W5,D2,L1,V2,M1} S(932);r(48582);r(48582) { cong(
% 30.06/30.45 X, Y, X, Y ) }.
% 30.06/30.45 parent0: (53196) {G4,W5,D2,L1,V2,M1} { cong( X, Y, X, Y ) }.
% 30.06/30.45 substitution0:
% 30.06/30.45 X := X
% 30.06/30.45 Y := Y
% 30.06/30.45 end
% 30.06/30.45 permutation0:
% 30.06/30.45 0 ==> 0
% 30.06/30.45 end
% 30.06/30.45
% 30.06/30.45 resolution: (53197) {G1,W10,D2,L2,V3,M2} { ! cong( X, Z, X, Z ), perp( X,
% 30.06/30.45 X, Y, Z ) }.
% 30.06/30.45 parent0[0]: (56) {G0,W15,D2,L3,V4,M3} I { ! cong( X, Z, Y, Z ), ! cong( X,
% 30.06/30.45 T, Y, T ), perp( X, Y, Z, T ) }.
% 30.06/30.45 parent1[0]: (52418) {G19,W5,D2,L1,V2,M1} S(932);r(48582);r(48582) { cong( X
% 30.06/30.45 , Y, X, Y ) }.
% 30.06/30.45 substitution0:
% 30.06/30.45 X := X
% 30.06/30.45 Y := X
% 30.06/30.45 Z := Y
% 30.06/30.45 T := Z
% 30.06/30.45 end
% 30.06/30.45 substitution1:
% 30.06/30.45 X := X
% 30.06/30.45 Y := Y
% 30.06/30.45 end
% 30.06/30.45
% 30.06/30.45 resolution: (53199) {G2,W5,D2,L1,V3,M1} { perp( X, X, Z, Y ) }.
% 30.06/30.45 parent0[0]: (53197) {G1,W10,D2,L2,V3,M2} { ! cong( X, Z, X, Z ), perp( X,
% 30.06/30.45 X, Y, Z ) }.
% 30.06/30.45 parent1[0]: (52418) {G19,W5,D2,L1,V2,M1} S(932);r(48582);r(48582) { cong( X
% 30.06/30.45 , Y, X, Y ) }.
% 30.06/30.45 substitution0:
% 30.06/30.45 X := X
% 30.06/30.45 Y := Z
% 30.06/30.45 Z := Y
% 30.06/30.45 end
% 30.06/30.45 substitution1:
% 30.06/30.45 X := X
% 30.06/30.45 Y := Y
% 30.06/30.45 end
% 30.06/30.45
% 30.06/30.45 subsumption: (52435) {G20,W5,D2,L1,V3,M1} R(52418,56);r(52418) { perp( X, X
% 30.06/30.45 , Z, Y ) }.
% 30.06/30.45 parent0: (53199) {G2,W5,D2,L1,V3,M1} { perp( X, X, Z, Y ) }.
% 30.06/30.45 substitution0:
% 30.06/30.45 X := X
% 30.06/30.45 Y := Y
% 30.06/30.45 Z := Z
% 30.06/30.45 end
% 30.06/30.45 permutation0:
% 30.06/30.45 0 ==> 0
% 30.06/30.45 end
% 30.06/30.45
% 30.06/30.45 resolution: (53200) {G2,W10,D2,L2,V5,M2} { para( T, U, Y, Z ), ! perp( X,
% 30.06/30.45 X, T, U ) }.
% 30.06/30.45 parent0[0]: (271) {G1,W15,D2,L3,V6,M3} R(8,7) { ! perp( X, Y, Z, T ), para
% 30.06/30.45 ( U, W, Z, T ), ! perp( X, Y, U, W ) }.
% 30.06/30.45 parent1[0]: (52435) {G20,W5,D2,L1,V3,M1} R(52418,56);r(52418) { perp( X, X
% 30.06/30.45 , Z, Y ) }.
% 30.06/30.45 substitution0:
% 30.06/30.45 X := X
% 30.06/30.45 Y := X
% 30.06/30.45 Z := Y
% 30.06/30.45 T := Z
% 30.06/30.45 U := T
% 30.06/30.45 W := U
% 30.06/30.45 end
% 30.06/30.45 substitution1:
% 30.06/30.45 X := X
% 30.06/30.45 Y := Z
% 30.06/30.45 Z := Y
% 30.06/30.45 end
% 30.06/30.45
% 30.06/30.45 resolution: (53202) {G3,W5,D2,L1,V4,M1} { para( X, Y, Z, T ) }.
% 30.06/30.45 parent0[1]: (53200) {G2,W10,D2,L2,V5,M2} { para( T, U, Y, Z ), ! perp( X,
% 30.06/30.45 X, T, U ) }.
% 30.06/30.45 parent1[0]: (52435) {G20,W5,D2,L1,V3,M1} R(52418,56);r(52418) { perp( X, X
% 30.06/30.45 , Z, Y ) }.
% 30.06/30.45 substitution0:
% 30.06/30.45 X := U
% 30.06/30.45 Y := Z
% 30.06/30.45 Z := T
% 30.06/30.45 T := X
% 30.06/30.45 U := Y
% 30.06/30.45 end
% 30.06/30.45 substitution1:
% 30.06/30.45 X := U
% 30.06/30.45 Y := Y
% 30.06/30.45 Z := X
% 30.06/30.45 end
% 30.06/30.45
% 30.06/30.45 subsumption: (52472) {G21,W5,D2,L1,V4,M1} R(52435,271);r(52435) { para( X,
% 30.06/30.45 Y, Z, T ) }.
% 30.06/30.45 parent0: (53202) {G3,W5,D2,L1,V4,M1} { para( X, Y, Z, T ) }.
% 30.06/30.45 substitution0:
% 30.06/30.45 X := X
% 30.06/30.45 Y := Y
% 30.06/30.45 Z := Z
% 30.06/30.45 T := T
% 30.06/30.45 end
% 30.06/30.45 permutation0:
% 30.06/30.45 0 ==> 0
% 30.06/30.45 end
% 30.06/30.45
% 30.06/30.45 resolution: (53203) {G3,W5,D2,L1,V2,M1} { ! para( X, Y, skol24, skol22 )
% 30.06/30.45 }.
% 30.06/30.45 parent0[0]: (361) {G2,W10,D2,L2,V2,M2} R(212,5) { ! para( skol20, skol23, X
% 30.06/30.45 , Y ), ! para( X, Y, skol24, skol22 ) }.
% 30.06/30.45 parent1[0]: (52472) {G21,W5,D2,L1,V4,M1} R(52435,271);r(52435) { para( X, Y
% 30.06/30.45 , Z, T ) }.
% 30.06/30.45 substitution0:
% 30.06/30.45 X := X
% 30.06/30.45 Y := Y
% 30.06/30.45 end
% 30.06/30.45 substitution1:
% 30.06/30.45 X := skol20
% 30.06/30.45 Y := skol23
% 30.06/30.45 Z := X
% 30.06/30.45 T := Y
% 30.06/30.45 end
% 30.06/30.45
% 30.06/30.45 resolution: (53205) {G4,W0,D0,L0,V0,M0} { }.
% 30.06/30.45 parent0[0]: (53203) {G3,W5,D2,L1,V2,M1} { ! para( X, Y, skol24, skol22 )
% 30.06/30.45 }.
% 30.06/30.45 parent1[0]: (52472) {G21,W5,D2,L1,V4,M1} R(52435,271);r(52435) { para( X, Y
% 30.06/30.45 , Z, T ) }.
% 30.06/30.45 substitution0:
% 30.06/30.45 X := X
% 30.06/30.45 Y := Y
% 30.06/30.45 end
% 30.06/30.45 substitution1:
% 30.06/30.45 X := X
% 30.06/30.45 Y := Y
% 30.06/30.45 Z := skol24
% 30.06/30.45 T := skol22
% 30.06/30.45 end
% 30.06/30.45
% 30.06/30.45 subsumption: (52660) {G22,W0,D0,L0,V0,M0} R(52472,361);r(52472) { }.
% 30.06/30.45 parent0: (53205) {G4,W0,D0,L0,V0,M0} { }.
% 30.06/30.45 substitution0:
% 30.06/30.45 end
% 30.06/30.45 permutation0:
% 30.06/30.45 end
% 30.06/30.45
% 30.06/30.45 Proof check complete!
% 30.06/30.45
% 30.06/30.45 Memory use:
% 30.06/30.45
% 30.06/30.45 space for terms: 755044
% 30.06/30.45 space for clauses: 2138635
% 30.06/30.45
% 30.06/30.45
% 30.06/30.45 clauses generated: 685654
% 30.06/30.45 clauses kept: 52661
% 30.06/30.45 clauses selected: 2983
% 30.06/30.45 clauses deleted: 6048
% 30.06/30.45 clauses inuse deleted: 170
% 30.06/30.45
% 30.06/30.45 subsentry: 40596193
% 30.06/30.45 literals s-matched: 24348563
% 30.06/30.45 literals matched: 14783264
% 30.06/30.45 full subsumption: 3385111
% 30.06/30.45
% 30.06/30.45 checksum: 103564920
% 30.06/30.45
% 30.06/30.45
% 30.06/30.45 Bliksem ended
%------------------------------------------------------------------------------