TSTP Solution File: GEO571+1 by Bliksem---1.12
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- Process Solution
%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : GEO571+1 : TPTP v8.1.0. Released v7.5.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n007.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 0s
% DateTime : Sat Jul 16 02:54:48 EDT 2022
% Result : Theorem 18.79s 19.22s
% Output : Refutation 18.79s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.09/0.11 % Problem : GEO571+1 : TPTP v8.1.0. Released v7.5.0.
% 0.09/0.12 % Command : bliksem %s
% 0.12/0.31 % Computer : n007.cluster.edu
% 0.12/0.31 % Model : x86_64 x86_64
% 0.12/0.31 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.31 % Memory : 8042.1875MB
% 0.12/0.31 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.31 % CPULimit : 300
% 0.12/0.31 % DateTime : Fri Jun 17 18:29:27 EDT 2022
% 0.12/0.31 % CPUTime :
% 0.70/1.10 *** allocated 10000 integers for termspace/termends
% 0.70/1.10 *** allocated 10000 integers for clauses
% 0.70/1.10 *** allocated 10000 integers for justifications
% 0.70/1.10 Bliksem 1.12
% 0.70/1.10
% 0.70/1.10
% 0.70/1.10 Automatic Strategy Selection
% 0.70/1.10
% 0.70/1.10 *** allocated 15000 integers for termspace/termends
% 0.70/1.10
% 0.70/1.10 Clauses:
% 0.70/1.10
% 0.70/1.10 { ! coll( X, Y, Z ), coll( X, Z, Y ) }.
% 0.70/1.10 { ! coll( X, Y, Z ), coll( Y, X, Z ) }.
% 0.70/1.10 { ! coll( X, T, Y ), ! coll( X, T, Z ), coll( Y, Z, X ) }.
% 0.70/1.10 { ! para( X, Y, Z, T ), para( X, Y, T, Z ) }.
% 0.70/1.10 { ! para( X, Y, Z, T ), para( Z, T, X, Y ) }.
% 0.70/1.10 { ! para( X, Y, U, W ), ! para( U, W, Z, T ), para( X, Y, Z, T ) }.
% 0.70/1.10 { ! perp( X, Y, Z, T ), perp( X, Y, T, Z ) }.
% 0.70/1.10 { ! perp( X, Y, Z, T ), perp( Z, T, X, Y ) }.
% 0.70/1.10 { ! perp( X, Y, U, W ), ! perp( U, W, Z, T ), para( X, Y, Z, T ) }.
% 0.70/1.10 { ! para( X, Y, U, W ), ! perp( U, W, Z, T ), perp( X, Y, Z, T ) }.
% 0.70/1.10 { ! midp( Z, Y, X ), midp( Z, X, Y ) }.
% 0.70/1.10 { ! cong( T, X, T, Y ), ! cong( T, X, T, Z ), circle( T, X, Y, Z ) }.
% 0.70/1.10 { ! cong( U, X, U, Y ), ! cong( U, X, U, Z ), ! cong( U, X, U, T ), cyclic
% 0.70/1.10 ( X, Y, Z, T ) }.
% 0.70/1.10 { ! cyclic( X, Y, Z, T ), cyclic( X, Y, T, Z ) }.
% 0.70/1.10 { ! cyclic( X, Y, Z, T ), cyclic( X, Z, Y, T ) }.
% 0.70/1.10 { ! cyclic( X, Y, Z, T ), cyclic( Y, X, Z, T ) }.
% 0.70/1.10 { ! cyclic( U, X, Y, Z ), ! cyclic( U, X, Y, T ), cyclic( X, Y, Z, T ) }.
% 0.70/1.10 { ! eqangle( X, Y, Z, T, U, W, V0, V1 ), eqangle( Y, X, Z, T, U, W, V0, V1
% 0.70/1.10 ) }.
% 0.70/1.10 { ! eqangle( X, Y, Z, T, U, W, V0, V1 ), eqangle( Z, T, X, Y, V0, V1, U, W
% 0.70/1.10 ) }.
% 0.70/1.10 { ! eqangle( X, Y, Z, T, U, W, V0, V1 ), eqangle( U, W, V0, V1, X, Y, Z, T
% 0.70/1.10 ) }.
% 0.70/1.10 { ! eqangle( X, Y, Z, T, U, W, V0, V1 ), eqangle( X, Y, U, W, Z, T, V0, V1
% 0.70/1.10 ) }.
% 0.70/1.10 { ! eqangle( X, Y, Z, T, V2, V3, V4, V5 ), ! eqangle( V2, V3, V4, V5, U, W
% 0.70/1.10 , V0, V1 ), eqangle( X, Y, Z, T, U, W, V0, V1 ) }.
% 0.70/1.10 { ! cong( X, Y, Z, T ), cong( X, Y, T, Z ) }.
% 0.70/1.10 { ! cong( X, Y, Z, T ), cong( Z, T, X, Y ) }.
% 0.70/1.10 { ! cong( X, Y, U, W ), ! cong( U, W, Z, T ), cong( X, Y, Z, T ) }.
% 0.70/1.10 { ! eqratio( X, Y, Z, T, U, W, V0, V1 ), eqratio( Y, X, Z, T, U, W, V0, V1
% 0.70/1.10 ) }.
% 0.70/1.10 { ! eqratio( X, Y, Z, T, U, W, V0, V1 ), eqratio( Z, T, X, Y, V0, V1, U, W
% 0.70/1.10 ) }.
% 0.70/1.10 { ! eqratio( X, Y, Z, T, U, W, V0, V1 ), eqratio( U, W, V0, V1, X, Y, Z, T
% 0.70/1.10 ) }.
% 0.70/1.10 { ! eqratio( X, Y, Z, T, U, W, V0, V1 ), eqratio( X, Y, U, W, Z, T, V0, V1
% 0.70/1.10 ) }.
% 0.70/1.10 { ! eqratio( X, Y, Z, T, V2, V3, V4, V5 ), ! eqratio( V2, V3, V4, V5, U, W
% 0.70/1.10 , V0, V1 ), eqratio( X, Y, Z, T, U, W, V0, V1 ) }.
% 0.70/1.10 { ! simtri( X, Z, Y, T, W, U ), simtri( X, Y, Z, T, U, W ) }.
% 0.70/1.10 { ! simtri( Y, X, Z, U, T, W ), simtri( X, Y, Z, T, U, W ) }.
% 0.70/1.10 { ! simtri( T, U, W, X, Y, Z ), simtri( X, Y, Z, T, U, W ) }.
% 0.70/1.10 { ! simtri( X, Y, Z, V0, V1, V2 ), ! simtri( V0, V1, V2, T, U, W ), simtri
% 0.70/1.10 ( X, Y, Z, T, U, W ) }.
% 0.70/1.10 { ! contri( X, Z, Y, T, W, U ), contri( X, Y, Z, T, U, W ) }.
% 0.70/1.10 { ! contri( Y, X, Z, U, T, W ), contri( X, Y, Z, T, U, W ) }.
% 0.70/1.10 { ! contri( T, U, W, X, Y, Z ), contri( X, Y, Z, T, U, W ) }.
% 0.70/1.10 { ! contri( X, Y, Z, V0, V1, V2 ), ! contri( V0, V1, V2, T, U, W ), contri
% 0.70/1.10 ( X, Y, Z, T, U, W ) }.
% 0.70/1.10 { ! eqangle( X, Y, U, W, Z, T, U, W ), para( X, Y, Z, T ) }.
% 0.70/1.10 { ! para( X, Y, Z, T ), eqangle( X, Y, U, W, Z, T, U, W ) }.
% 0.70/1.10 { ! cyclic( X, Y, Z, T ), eqangle( Z, X, Z, Y, T, X, T, Y ) }.
% 0.70/1.10 { ! eqangle( Z, X, Z, Y, T, X, T, Y ), coll( Z, T, X ), cyclic( X, Y, Z, T
% 0.70/1.10 ) }.
% 0.70/1.10 { ! eqangle( Z, X, Z, Y, T, X, T, Y ), ! coll( Z, T, Y ), cyclic( X, Y, Z,
% 0.70/1.10 T ) }.
% 0.70/1.10 { ! cyclic( X, Y, U, Z ), ! cyclic( X, Y, U, T ), ! cyclic( X, Y, U, W ), !
% 0.70/1.10 eqangle( U, X, U, Y, W, Z, W, T ), cong( X, Y, Z, T ) }.
% 0.70/1.10 { ! midp( Z, U, X ), ! midp( T, U, Y ), para( Z, T, X, Y ) }.
% 0.70/1.10 { ! midp( U, X, T ), ! para( U, Z, T, Y ), ! coll( Z, X, Y ), midp( Z, X, Y
% 0.70/1.10 ) }.
% 0.70/1.10 { ! cong( Z, X, Z, Y ), eqangle( Z, X, X, Y, X, Y, Z, Y ) }.
% 0.70/1.10 { ! eqangle( Z, X, X, Y, X, Y, Z, Y ), coll( Z, X, Y ), cong( Z, X, Z, Y )
% 0.70/1.10 }.
% 0.70/1.10 { ! circle( U, X, Y, Z ), ! perp( U, X, X, T ), eqangle( X, T, X, Y, Z, X,
% 0.70/1.10 Z, Y ) }.
% 0.70/1.10 { ! circle( Y, X, T, U ), ! eqangle( X, Z, X, T, U, X, U, T ), perp( Y, X,
% 0.70/1.10 X, Z ) }.
% 0.70/1.10 { ! circle( T, X, Y, Z ), ! midp( U, Y, Z ), eqangle( X, Y, X, Z, T, Y, T,
% 0.70/1.10 U ) }.
% 0.70/1.10 { ! circle( U, T, X, Y ), ! coll( Z, X, Y ), ! eqangle( T, X, T, Y, U, X, U
% 0.70/1.10 , Z ), midp( Z, X, Y ) }.
% 0.70/1.10 { ! perp( X, Y, Y, T ), ! midp( Z, X, T ), cong( X, Z, Y, Z ) }.
% 0.70/1.10 { ! circle( T, X, Y, Z ), ! coll( T, X, Z ), perp( X, Y, Y, Z ) }.
% 0.70/1.10 { ! cyclic( X, Y, Z, T ), ! para( X, Y, Z, T ), eqangle( X, T, Z, T, Z, T,
% 0.70/1.10 Z, Y ) }.
% 0.70/1.10 { ! midp( T, X, Y ), ! perp( Z, T, X, Y ), cong( Z, X, Z, Y ) }.
% 0.70/1.10 { ! cong( X, Z, Y, Z ), ! cong( X, T, Y, T ), perp( X, Y, Z, T ) }.
% 0.70/1.10 { ! cong( X, Y, T, Y ), ! cong( X, Z, T, Z ), ! cyclic( X, T, Y, Z ), perp
% 0.70/1.10 ( Y, X, X, Z ) }.
% 0.70/1.10 { ! eqangle( X, Y, Y, Z, T, U, U, W ), ! eqangle( X, Z, Y, Z, T, W, U, W )
% 0.70/1.10 , coll( X, Y, Z ), simtri( X, Y, Z, T, U, W ) }.
% 0.70/1.10 { ! simtri( X, Y, Z, T, U, W ), eqratio( X, Y, X, Z, T, U, T, W ) }.
% 0.70/1.10 { ! simtri( X, Y, Z, T, U, W ), eqangle( X, Y, Y, Z, T, U, U, W ) }.
% 0.70/1.10 { ! simtri( X, Y, Z, T, U, W ), ! cong( X, Y, T, U ), contri( X, Y, Z, T, U
% 0.70/1.10 , W ) }.
% 0.70/1.10 { ! contri( X, Y, U, Z, T, W ), cong( X, Y, Z, T ) }.
% 0.70/1.10 { ! midp( U, X, Y ), ! midp( U, Z, T ), para( X, Z, Y, T ) }.
% 0.70/1.10 { ! midp( Z, T, U ), ! para( T, X, U, Y ), ! para( T, Y, U, X ), midp( Z, X
% 0.70/1.10 , Y ) }.
% 0.70/1.10 { ! para( X, Y, Z, T ), ! coll( U, X, Z ), ! coll( U, Y, T ), eqratio( U, X
% 0.70/1.10 , X, Z, U, Y, Y, T ) }.
% 0.70/1.10 { ! para( X, Y, X, Z ), coll( X, Y, Z ) }.
% 0.70/1.10 { ! cong( X, Y, X, Z ), ! coll( X, Y, Z ), midp( X, Y, Z ) }.
% 0.70/1.10 { ! midp( X, Y, Z ), cong( X, Y, X, Z ) }.
% 0.70/1.10 { ! midp( X, Y, Z ), coll( X, Y, Z ) }.
% 0.70/1.10 { ! midp( U, X, Y ), ! midp( W, Z, T ), eqratio( U, X, X, Y, W, Z, Z, T ) }
% 0.70/1.10 .
% 0.70/1.10 { ! eqangle( X, Y, Z, T, Z, T, X, Y ), para( X, Y, Z, T ), perp( X, Y, Z, T
% 0.70/1.10 ) }.
% 0.70/1.10 { ! eqangle( X, Y, Z, T, Z, T, X, Y ), perp( X, Y, Z, T ), para( X, Y, Z, T
% 0.70/1.10 ) }.
% 0.70/1.10 { ! eqangle( X, Y, Z, T, U, W, V0, V1 ), ! para( U, W, V0, V1 ), para( X, Y
% 0.70/1.10 , Z, T ) }.
% 0.70/1.10 { ! eqangle( X, Y, Z, T, U, W, V0, V1 ), ! perp( U, W, V0, V1 ), perp( X, Y
% 0.70/1.10 , Z, T ) }.
% 0.70/1.10 { ! eqratio( X, Y, Z, T, U, W, V0, V1 ), ! cong( U, W, V0, V1 ), cong( X, Y
% 0.70/1.10 , Z, T ) }.
% 0.70/1.10 { ! perp( Z, Y, Y, X ), ! eqangle( T, Z, Y, Z, Y, Z, X, Z ), coll( skol1( U
% 0.70/1.10 , W, Z, T ), Z, T ) }.
% 0.70/1.10 { ! perp( Z, Y, Y, X ), ! eqangle( T, Z, Y, Z, Y, Z, X, Z ), coll( skol1( X
% 0.70/1.10 , Y, Z, T ), X, Y ) }.
% 0.70/1.10 { ! cong( Z, X, Z, Y ), ! eqangle( X, Z, Z, T, Z, T, Z, Y ), coll( skol2( U
% 0.70/1.10 , W, Z, T ), Z, T ) }.
% 0.70/1.10 { ! cong( Z, X, Z, Y ), ! eqangle( X, Z, Z, T, Z, T, Z, Y ), coll( Y, X,
% 0.70/1.10 skol2( X, Y, Z, T ) ) }.
% 0.70/1.10 { ! perp( Z, T, X, Y ), ! eqangle( X, Z, Z, T, Z, T, Z, Y ), coll( skol3( U
% 0.70/1.10 , W, Z, T ), Z, T ) }.
% 0.70/1.10 { ! perp( Z, T, X, Y ), ! eqangle( X, Z, Z, T, Z, T, Z, Y ), coll( Y, X,
% 0.70/1.10 skol3( X, Y, Z, T ) ) }.
% 0.70/1.10 { ! perp( Z, T, X, Y ), ! cong( Z, X, Z, Y ), coll( skol4( U, W, Z, T ), Z
% 0.70/1.10 , T ) }.
% 0.70/1.10 { ! perp( Z, T, X, Y ), ! cong( Z, X, Z, Y ), coll( Y, X, skol4( X, Y, Z, T
% 0.70/1.10 ) ) }.
% 0.70/1.10 { ! eqangle( X, Z, Y, Z, X, T, Y, U ), coll( X, Y, Z ), cyclic( T, Y, Z,
% 0.70/1.10 skol5( W, Y, Z, T ) ) }.
% 0.70/1.10 { ! eqangle( X, Z, Y, Z, X, T, Y, U ), coll( X, Y, Z ), eqangle( X, Z, Y, Z
% 0.70/1.10 , X, skol5( X, Y, Z, T ), Y, skol5( X, Y, Z, T ) ) }.
% 0.70/1.10 { ! midp( U, X, Y ), ! midp( W, Z, T ), midp( skol6( X, V0, V1, T, V2, V3 )
% 0.70/1.10 , X, T ) }.
% 0.70/1.10 { ! midp( U, X, Y ), ! midp( W, Z, T ), para( skol6( X, V0, Z, T, V1, W ),
% 0.70/1.10 W, X, Z ) }.
% 0.70/1.10 { ! midp( U, X, Y ), ! midp( W, Z, T ), para( skol6( X, Y, Z, T, U, W ), U
% 0.70/1.10 , Y, T ) }.
% 0.70/1.10 { ! midp( Z, X, Y ), ! midp( W, T, U ), ! coll( T, X, Y ), ! coll( U, X, Y
% 0.70/1.10 ), midp( skol7( X, V0 ), X, V0 ) }.
% 0.70/1.10 { ! midp( T, X, U ), ! para( X, W, Z, T ), ! para( X, W, U, Y ), ! coll( W
% 0.70/1.10 , Y, Z ), coll( skol8( V0, V1, Z, T ), T, Z ) }.
% 0.70/1.10 { ! midp( T, X, U ), ! para( X, W, Z, T ), ! para( X, W, U, Y ), ! coll( W
% 0.70/1.10 , Y, Z ), coll( skol8( X, Y, Z, T ), X, Y ) }.
% 0.70/1.10 { ! cong( T, Z, T, U ), ! perp( X, Y, Y, T ), cong( T, Z, T, skol9( W, V0,
% 0.70/1.10 Z, T ) ) }.
% 0.70/1.10 { ! cong( T, Z, T, U ), ! perp( X, Y, Y, T ), cong( Y, Z, Y, skol9( W, Y, Z
% 0.70/1.10 , T ) ) }.
% 0.70/1.10 { ! cong( T, Z, T, U ), ! perp( X, Y, Y, T ), para( skol9( X, Y, Z, T ), Z
% 0.70/1.10 , X, Y ) }.
% 0.70/1.10 { ! perp( X, T, Y, Z ), ! perp( Y, T, X, Z ), coll( skol10( U, Y, Z ), Z, Y
% 0.70/1.10 ) }.
% 0.70/1.10 { ! perp( X, T, Y, Z ), ! perp( Y, T, X, Z ), perp( X, skol10( X, Y, Z ), Z
% 0.70/1.10 , Y ) }.
% 0.70/1.10 { ! perp( X, T, Y, Z ), ! perp( Y, T, X, Z ), alpha1( X, Y, Z ) }.
% 0.70/1.10 { ! alpha1( X, Y, Z ), coll( skol11( X, T, Z ), Z, X ) }.
% 0.70/1.10 { ! alpha1( X, Y, Z ), perp( Y, skol11( X, Y, Z ), Z, X ) }.
% 0.70/1.10 { ! coll( T, Z, X ), ! perp( Y, T, Z, X ), alpha1( X, Y, Z ) }.
% 0.70/1.10 { ! circle( Y, X, Z, T ), perp( skol12( X, Y ), X, X, Y ) }.
% 4.46/4.85 { ! circle( W, X, Y, Z ), ! cong( W, X, W, T ), ! cong( U, X, U, Y ), W = U
% 4.46/4.85 , alpha2( X, Z, U, skol13( X, V0, Z, V1, U ) ) }.
% 4.46/4.85 { ! circle( W, X, Y, Z ), ! cong( W, X, W, T ), ! cong( U, X, U, Y ), W = U
% 4.46/4.85 , coll( skol21( V0, Y, T, V1 ), Y, T ) }.
% 4.46/4.85 { ! circle( W, X, Y, Z ), ! cong( W, X, W, T ), ! cong( U, X, U, Y ), W = U
% 4.46/4.85 , cong( skol21( X, Y, T, U ), U, U, X ) }.
% 4.46/4.85 { ! alpha2( X, Y, Z, T ), coll( T, X, Y ) }.
% 4.46/4.85 { ! alpha2( X, Y, Z, T ), cong( T, Z, Z, X ) }.
% 4.46/4.85 { ! coll( T, X, Y ), ! cong( T, Z, Z, X ), alpha2( X, Y, Z, T ) }.
% 4.46/4.85 { ! cyclic( X, Y, Z, T ), ! para( X, Y, Z, T ), ! midp( U, X, Y ), circle(
% 4.46/4.85 skol14( X, Y, Z ), X, Y, Z ) }.
% 4.46/4.85 { ! perp( X, Z, Z, Y ), ! cyclic( X, Y, Z, T ), circle( skol15( X, Y, Z ),
% 4.46/4.85 X, Y, Z ) }.
% 4.46/4.85 { ! perp( X, U, U, T ), ! coll( T, Y, Z ), coll( skol16( W, Y, Z ), Y, Z )
% 4.46/4.85 }.
% 4.46/4.85 { ! perp( X, U, U, T ), ! coll( T, Y, Z ), perp( skol16( X, Y, Z ), X, Y, Z
% 4.46/4.85 ) }.
% 4.46/4.85 { ! perp( X, Z, X, Y ), ! perp( Y, X, Y, T ), ! midp( U, Z, T ), midp(
% 4.46/4.85 skol17( X, Y ), X, Y ) }.
% 4.46/4.85 { ! cong( Y, X, Y, Z ), ! perp( X, Y, Y, Z ), coll( X, Y, skol18( X, Y ) )
% 4.46/4.85 }.
% 4.46/4.85 { ! cong( Y, X, Y, Z ), ! perp( X, Y, Y, Z ), cong( Y, X, Y, skol18( X, Y )
% 4.46/4.85 ) }.
% 4.46/4.85 { ! para( U, W, X, Y ), ! coll( Z, U, X ), ! coll( Z, W, Y ), ! coll( T, U
% 4.46/4.85 , W ), coll( Z, T, skol19( V0, V1, Z, T ) ) }.
% 4.46/4.85 { ! para( U, W, X, Y ), ! coll( Z, U, X ), ! coll( Z, W, Y ), ! coll( T, U
% 4.46/4.85 , W ), coll( skol19( X, Y, Z, T ), X, Y ) }.
% 4.46/4.85 { circle( skol27, skol20, skol26, skol22 ) }.
% 4.46/4.85 { circle( skol27, skol20, skol28, skol29 ) }.
% 4.46/4.85 { coll( skol23, skol20, skol26 ) }.
% 4.46/4.85 { coll( skol23, skol22, skol28 ) }.
% 4.46/4.85 { perp( skol22, skol28, skol28, skol24 ) }.
% 4.46/4.85 { perp( skol20, skol26, skol20, skol24 ) }.
% 4.46/4.85 { perp( skol22, skol28, skol22, skol25 ) }.
% 4.46/4.85 { perp( skol20, skol26, skol26, skol25 ) }.
% 4.46/4.85 { ! eqangle( skol20, skol23, skol23, skol24, skol25, skol23, skol23, skol22
% 4.46/4.85 ) }.
% 4.46/4.85
% 4.46/4.85 percentage equality = 0.008746, percentage horn = 0.928000
% 4.46/4.85 This is a problem with some equality
% 4.46/4.85
% 4.46/4.85
% 4.46/4.85
% 4.46/4.85 Options Used:
% 4.46/4.85
% 4.46/4.85 useres = 1
% 4.46/4.85 useparamod = 1
% 4.46/4.85 useeqrefl = 1
% 4.46/4.85 useeqfact = 1
% 4.46/4.85 usefactor = 1
% 4.46/4.85 usesimpsplitting = 0
% 4.46/4.85 usesimpdemod = 5
% 4.46/4.85 usesimpres = 3
% 4.46/4.85
% 4.46/4.85 resimpinuse = 1000
% 4.46/4.85 resimpclauses = 20000
% 4.46/4.85 substype = eqrewr
% 4.46/4.85 backwardsubs = 1
% 4.46/4.85 selectoldest = 5
% 4.46/4.85
% 4.46/4.85 litorderings [0] = split
% 4.46/4.85 litorderings [1] = extend the termordering, first sorting on arguments
% 4.46/4.85
% 4.46/4.85 termordering = kbo
% 4.46/4.85
% 4.46/4.85 litapriori = 0
% 4.46/4.85 termapriori = 1
% 4.46/4.85 litaposteriori = 0
% 4.46/4.85 termaposteriori = 0
% 4.46/4.85 demodaposteriori = 0
% 4.46/4.85 ordereqreflfact = 0
% 4.46/4.85
% 4.46/4.85 litselect = negord
% 4.46/4.85
% 4.46/4.85 maxweight = 15
% 4.46/4.85 maxdepth = 30000
% 4.46/4.85 maxlength = 115
% 4.46/4.85 maxnrvars = 195
% 4.46/4.85 excuselevel = 1
% 4.46/4.85 increasemaxweight = 1
% 4.46/4.85
% 4.46/4.85 maxselected = 10000000
% 4.46/4.85 maxnrclauses = 10000000
% 4.46/4.85
% 4.46/4.85 showgenerated = 0
% 4.46/4.85 showkept = 0
% 4.46/4.85 showselected = 0
% 4.46/4.85 showdeleted = 0
% 4.46/4.85 showresimp = 1
% 4.46/4.85 showstatus = 2000
% 4.46/4.85
% 4.46/4.85 prologoutput = 0
% 4.46/4.85 nrgoals = 5000000
% 4.46/4.85 totalproof = 1
% 4.46/4.85
% 4.46/4.85 Symbols occurring in the translation:
% 4.46/4.85
% 4.46/4.85 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 4.46/4.85 . [1, 2] (w:1, o:40, a:1, s:1, b:0),
% 4.46/4.85 ! [4, 1] (w:0, o:35, a:1, s:1, b:0),
% 4.46/4.85 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 4.46/4.85 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 4.46/4.85 coll [38, 3] (w:1, o:68, a:1, s:1, b:0),
% 4.46/4.85 para [40, 4] (w:1, o:76, a:1, s:1, b:0),
% 4.46/4.85 perp [43, 4] (w:1, o:77, a:1, s:1, b:0),
% 4.46/4.85 midp [45, 3] (w:1, o:69, a:1, s:1, b:0),
% 4.46/4.85 cong [47, 4] (w:1, o:78, a:1, s:1, b:0),
% 4.46/4.85 circle [48, 4] (w:1, o:79, a:1, s:1, b:0),
% 4.46/4.85 cyclic [49, 4] (w:1, o:80, a:1, s:1, b:0),
% 4.46/4.85 eqangle [54, 8] (w:1, o:95, a:1, s:1, b:0),
% 4.46/4.85 eqratio [57, 8] (w:1, o:96, a:1, s:1, b:0),
% 4.46/4.85 simtri [59, 6] (w:1, o:92, a:1, s:1, b:0),
% 4.46/4.85 contri [60, 6] (w:1, o:93, a:1, s:1, b:0),
% 4.46/4.85 alpha1 [66, 3] (w:1, o:70, a:1, s:1, b:1),
% 4.46/4.85 alpha2 [67, 4] (w:1, o:81, a:1, s:1, b:1),
% 4.46/4.85 skol1 [68, 4] (w:1, o:82, a:1, s:1, b:1),
% 4.46/4.85 skol2 [69, 4] (w:1, o:84, a:1, s:1, b:1),
% 4.46/4.85 skol3 [70, 4] (w:1, o:86, a:1, s:1, b:1),
% 4.46/4.85 skol4 [71, 4] (w:1, o:87, a:1, s:1, b:1),
% 4.46/4.85 skol5 [72, 4] (w:1, o:88, a:1, s:1, b:1),
% 4.46/4.85 skol6 [73, 6] (w:1, o:94, a:1, s:1, b:1),
% 18.79/19.22 skol7 [74, 2] (w:1, o:64, a:1, s:1, b:1),
% 18.79/19.22 skol8 [75, 4] (w:1, o:89, a:1, s:1, b:1),
% 18.79/19.22 skol9 [76, 4] (w:1, o:90, a:1, s:1, b:1),
% 18.79/19.22 skol10 [77, 3] (w:1, o:71, a:1, s:1, b:1),
% 18.79/19.22 skol11 [78, 3] (w:1, o:72, a:1, s:1, b:1),
% 18.79/19.22 skol12 [79, 2] (w:1, o:65, a:1, s:1, b:1),
% 18.79/19.22 skol13 [80, 5] (w:1, o:91, a:1, s:1, b:1),
% 18.79/19.22 skol14 [81, 3] (w:1, o:73, a:1, s:1, b:1),
% 18.79/19.22 skol15 [82, 3] (w:1, o:74, a:1, s:1, b:1),
% 18.79/19.22 skol16 [83, 3] (w:1, o:75, a:1, s:1, b:1),
% 18.79/19.22 skol17 [84, 2] (w:1, o:66, a:1, s:1, b:1),
% 18.79/19.22 skol18 [85, 2] (w:1, o:67, a:1, s:1, b:1),
% 18.79/19.22 skol19 [86, 4] (w:1, o:83, a:1, s:1, b:1),
% 18.79/19.22 skol20 [87, 0] (w:1, o:26, a:1, s:1, b:1),
% 18.79/19.22 skol21 [88, 4] (w:1, o:85, a:1, s:1, b:1),
% 18.79/19.22 skol22 [89, 0] (w:1, o:27, a:1, s:1, b:1),
% 18.79/19.22 skol23 [90, 0] (w:1, o:28, a:1, s:1, b:1),
% 18.79/19.22 skol24 [91, 0] (w:1, o:29, a:1, s:1, b:1),
% 18.79/19.22 skol25 [92, 0] (w:1, o:30, a:1, s:1, b:1),
% 18.79/19.22 skol26 [93, 0] (w:1, o:31, a:1, s:1, b:1),
% 18.79/19.22 skol27 [94, 0] (w:1, o:32, a:1, s:1, b:1),
% 18.79/19.22 skol28 [95, 0] (w:1, o:33, a:1, s:1, b:1),
% 18.79/19.22 skol29 [96, 0] (w:1, o:34, a:1, s:1, b:1).
% 18.79/19.22
% 18.79/19.22
% 18.79/19.22 Starting Search:
% 18.79/19.22
% 18.79/19.22 *** allocated 15000 integers for clauses
% 18.79/19.22 *** allocated 22500 integers for clauses
% 18.79/19.22 *** allocated 33750 integers for clauses
% 18.79/19.22 *** allocated 22500 integers for termspace/termends
% 18.79/19.22 *** allocated 50625 integers for clauses
% 18.79/19.22 Resimplifying inuse:
% 18.79/19.22 Done
% 18.79/19.22
% 18.79/19.22 *** allocated 75937 integers for clauses
% 18.79/19.22 *** allocated 33750 integers for termspace/termends
% 18.79/19.22 *** allocated 113905 integers for clauses
% 18.79/19.22 *** allocated 50625 integers for termspace/termends
% 18.79/19.22
% 18.79/19.22 Intermediate Status:
% 18.79/19.22 Generated: 18856
% 18.79/19.22 Kept: 2075
% 18.79/19.22 Inuse: 336
% 18.79/19.22 Deleted: 1
% 18.79/19.22 Deletedinuse: 1
% 18.79/19.22
% 18.79/19.22 Resimplifying inuse:
% 18.79/19.22 Done
% 18.79/19.22
% 18.79/19.22 *** allocated 170857 integers for clauses
% 18.79/19.22 *** allocated 75937 integers for termspace/termends
% 18.79/19.22 Resimplifying inuse:
% 18.79/19.22 Done
% 18.79/19.22
% 18.79/19.22 *** allocated 256285 integers for clauses
% 18.79/19.22 *** allocated 113905 integers for termspace/termends
% 18.79/19.22
% 18.79/19.22 Intermediate Status:
% 18.79/19.22 Generated: 37442
% 18.79/19.22 Kept: 4078
% 18.79/19.22 Inuse: 455
% 18.79/19.22 Deleted: 18
% 18.79/19.22 Deletedinuse: 1
% 18.79/19.22
% 18.79/19.22 Resimplifying inuse:
% 18.79/19.22 Done
% 18.79/19.22
% 18.79/19.22 Resimplifying inuse:
% 18.79/19.22 Done
% 18.79/19.22
% 18.79/19.22 *** allocated 170857 integers for termspace/termends
% 18.79/19.22 *** allocated 384427 integers for clauses
% 18.79/19.22
% 18.79/19.22 Intermediate Status:
% 18.79/19.22 Generated: 47427
% 18.79/19.22 Kept: 6093
% 18.79/19.22 Inuse: 528
% 18.79/19.22 Deleted: 19
% 18.79/19.22 Deletedinuse: 2
% 18.79/19.22
% 18.79/19.22 Resimplifying inuse:
% 18.79/19.22 Done
% 18.79/19.22
% 18.79/19.22 Resimplifying inuse:
% 18.79/19.22 Done
% 18.79/19.22
% 18.79/19.22 *** allocated 576640 integers for clauses
% 18.79/19.22
% 18.79/19.22 Intermediate Status:
% 18.79/19.22 Generated: 65712
% 18.79/19.22 Kept: 8108
% 18.79/19.22 Inuse: 686
% 18.79/19.22 Deleted: 20
% 18.79/19.22 Deletedinuse: 2
% 18.79/19.22
% 18.79/19.22 Resimplifying inuse:
% 18.79/19.22 Done
% 18.79/19.22
% 18.79/19.22 *** allocated 256285 integers for termspace/termends
% 18.79/19.22 Resimplifying inuse:
% 18.79/19.22 Done
% 18.79/19.22
% 18.79/19.22
% 18.79/19.22 Intermediate Status:
% 18.79/19.22 Generated: 87346
% 18.79/19.22 Kept: 10130
% 18.79/19.22 Inuse: 793
% 18.79/19.22 Deleted: 28
% 18.79/19.22 Deletedinuse: 5
% 18.79/19.22
% 18.79/19.22 Resimplifying inuse:
% 18.79/19.22 Done
% 18.79/19.22
% 18.79/19.22 Resimplifying inuse:
% 18.79/19.22 Done
% 18.79/19.22
% 18.79/19.22
% 18.79/19.22 Intermediate Status:
% 18.79/19.22 Generated: 97240
% 18.79/19.22 Kept: 12351
% 18.79/19.22 Inuse: 833
% 18.79/19.22 Deleted: 32
% 18.79/19.22 Deletedinuse: 9
% 18.79/19.22
% 18.79/19.22 *** allocated 864960 integers for clauses
% 18.79/19.22 Resimplifying inuse:
% 18.79/19.22 Done
% 18.79/19.22
% 18.79/19.22 Resimplifying inuse:
% 18.79/19.22 Done
% 18.79/19.22
% 18.79/19.22
% 18.79/19.22 Intermediate Status:
% 18.79/19.22 Generated: 116256
% 18.79/19.22 Kept: 14362
% 18.79/19.22 Inuse: 1005
% 18.79/19.22 Deleted: 46
% 18.79/19.22 Deletedinuse: 9
% 18.79/19.22
% 18.79/19.22 Resimplifying inuse:
% 18.79/19.22 Done
% 18.79/19.22
% 18.79/19.22 *** allocated 384427 integers for termspace/termends
% 18.79/19.22 Resimplifying inuse:
% 18.79/19.22 Done
% 18.79/19.22
% 18.79/19.22
% 18.79/19.22 Intermediate Status:
% 18.79/19.22 Generated: 128081
% 18.79/19.22 Kept: 16365
% 18.79/19.22 Inuse: 1107
% 18.79/19.22 Deleted: 62
% 18.79/19.22 Deletedinuse: 21
% 18.79/19.22
% 18.79/19.22 Resimplifying inuse:
% 18.79/19.22 Done
% 18.79/19.22
% 18.79/19.22 Resimplifying inuse:
% 18.79/19.22 Done
% 18.79/19.22
% 18.79/19.22
% 18.79/19.22 Intermediate Status:
% 18.79/19.22 Generated: 140866
% 18.79/19.22 Kept: 18367
% 18.79/19.22 Inuse: 1218
% 18.79/19.22 Deleted: 72
% 18.79/19.22 Deletedinuse: 27
% 18.79/19.22
% 18.79/19.22 *** allocated 1297440 integers for clauses
% 18.79/19.22 Resimplifying inuse:
% 18.79/19.22 Done
% 18.79/19.22
% 18.79/19.22 Resimplifying inuse:
% 18.79/19.22 Done
% 18.79/19.22
% 18.79/19.22 Resimplifying clauses:
% 18.79/19.22 Done
% 18.79/19.22
% 18.79/19.22
% 18.79/19.22 Intermediate Status:
% 18.79/19.22 Generated: 161061
% 18.79/19.22 Kept: 20370
% 18.79/19.22 Inuse: 1399
% 18.79/19.22 Deleted: 1876
% 18.79/19.22 Deletedinuse: 41
% 18.79/19.22
% 18.79/19.22 Resimplifying inuse:
% 18.79/19.22 Done
% 18.79/19.22
% 18.79/19.22 Resimplifying inuse:
% 18.79/19.22 Done
% 18.79/19.22
% 18.79/19.22
% 18.79/19.22 Intermediate Status:
% 18.79/19.22 Generated: 178592
% 18.79/19.22 Kept: 22385
% 18.79/19.22 Inuse: 1584
% 18.79/19.22 Deleted: 1877
% 18.79/19.22 Deletedinuse: 41
% 18.79/19.22
% 18.79/19.22 Resimplifying inuse:
% 18.79/19.22 Done
% 18.79/19.22
% 18.79/19.22 Resimplifying inuse:
% 18.79/19.22 Done
% 18.79/19.22
% 18.79/19.22
% 18.79/19.22 Intermediate Status:
% 18.79/19.22 Generated: 194527
% 18.79/19.22 Kept: 24417
% 18.79/19.22 Inuse: 1729
% 18.79/19.22 Deleted: 1877
% 18.79/19.22 Deletedinuse: 41
% 18.79/19.22
% 18.79/19.22 Resimplifying inuse:
% 18.79/19.22 Done
% 18.79/19.22
% 18.79/19.22 *** allocated 576640 integers for termspace/termends
% 18.79/19.22 Resimplifying inuse:
% 18.79/19.22 Done
% 18.79/19.22
% 18.79/19.22
% 18.79/19.22 Intermediate Status:
% 18.79/19.22 Generated: 207495
% 18.79/19.22 Kept: 26422
% 18.79/19.22 Inuse: 1859
% 18.79/19.22 Deleted: 1877
% 18.79/19.22 Deletedinuse: 41
% 18.79/19.22
% 18.79/19.22 Resimplifying inuse:
% 18.79/19.22 Done
% 18.79/19.22
% 18.79/19.22 Resimplifying inuse:
% 18.79/19.22 Done
% 18.79/19.22
% 18.79/19.22 *** allocated 1946160 integers for clauses
% 18.79/19.22
% 18.79/19.22 Intermediate Status:
% 18.79/19.22 Generated: 226637
% 18.79/19.22 Kept: 29956
% 18.79/19.22 Inuse: 2004
% 18.79/19.22 Deleted: 1877
% 18.79/19.22 Deletedinuse: 41
% 18.79/19.22
% 18.79/19.22 Resimplifying inuse:
% 18.79/19.22 Done
% 18.79/19.22
% 18.79/19.22
% 18.79/19.22 Intermediate Status:
% 18.79/19.22 Generated: 235081
% 18.79/19.22 Kept: 32527
% 18.79/19.22 Inuse: 2059
% 18.79/19.22 Deleted: 1877
% 18.79/19.22 Deletedinuse: 41
% 18.79/19.22
% 18.79/19.22 Resimplifying inuse:
% 18.79/19.22 Done
% 18.79/19.22
% 18.79/19.22
% 18.79/19.22 Intermediate Status:
% 18.79/19.22 Generated: 244832
% 18.79/19.22 Kept: 35330
% 18.79/19.22 Inuse: 2074
% 18.79/19.22 Deleted: 1877
% 18.79/19.22 Deletedinuse: 41
% 18.79/19.22
% 18.79/19.22 Resimplifying inuse:
% 18.79/19.22 Done
% 18.79/19.22
% 18.79/19.22 Resimplifying inuse:
% 18.79/19.22 Done
% 18.79/19.22
% 18.79/19.22
% 18.79/19.22 Intermediate Status:
% 18.79/19.22 Generated: 261037
% 18.79/19.22 Kept: 37336
% 18.79/19.22 Inuse: 2141
% 18.79/19.22 Deleted: 1884
% 18.79/19.22 Deletedinuse: 48
% 18.79/19.22
% 18.79/19.22 Resimplifying inuse:
% 18.79/19.22 Done
% 18.79/19.22
% 18.79/19.22 Resimplifying inuse:
% 18.79/19.22 Done
% 18.79/19.22
% 18.79/19.22
% 18.79/19.22 Intermediate Status:
% 18.79/19.22 Generated: 273893
% 18.79/19.22 Kept: 40620
% 18.79/19.22 Inuse: 2192
% 18.79/19.22 Deleted: 1892
% 18.79/19.22 Deletedinuse: 54
% 18.79/19.22
% 18.79/19.22 Resimplifying inuse:
% 18.79/19.22 Done
% 18.79/19.22
% 18.79/19.22 Resimplifying clauses:
% 18.79/19.22 Done
% 18.79/19.22
% 18.79/19.22 *** allocated 864960 integers for termspace/termends
% 18.79/19.22 Resimplifying inuse:
% 18.79/19.22 Done
% 18.79/19.22
% 18.79/19.22
% 18.79/19.22 Intermediate Status:
% 18.79/19.22 Generated: 279137
% 18.79/19.22 Kept: 42648
% 18.79/19.22 Inuse: 2212
% 18.79/19.22 Deleted: 4609
% 18.79/19.22 Deletedinuse: 54
% 18.79/19.22
% 18.79/19.22 Resimplifying inuse:
% 18.79/19.22 Done
% 18.79/19.22
% 18.79/19.22 Resimplifying inuse:
% 18.79/19.22 Done
% 18.79/19.22
% 18.79/19.22 *** allocated 2919240 integers for clauses
% 18.79/19.22
% 18.79/19.22 Intermediate Status:
% 18.79/19.22 Generated: 286283
% 18.79/19.22 Kept: 44663
% 18.79/19.22 Inuse: 2261
% 18.79/19.22 Deleted: 4610
% 18.79/19.22 Deletedinuse: 55
% 18.79/19.22
% 18.79/19.22 Resimplifying inuse:
% 18.79/19.22 Done
% 18.79/19.22
% 18.79/19.22 Resimplifying inuse:
% 18.79/19.22 Done
% 18.79/19.22
% 18.79/19.22
% 18.79/19.22 Intermediate Status:
% 18.79/19.22 Generated: 296576
% 18.79/19.22 Kept: 46667
% 18.79/19.22 Inuse: 2350
% 18.79/19.22 Deleted: 4617
% 18.79/19.22 Deletedinuse: 61
% 18.79/19.22
% 18.79/19.22 Resimplifying inuse:
% 18.79/19.22 Done
% 18.79/19.22
% 18.79/19.22 Resimplifying inuse:
% 18.79/19.22 Done
% 18.79/19.22
% 18.79/19.22
% 18.79/19.22 Intermediate Status:
% 18.79/19.22 Generated: 314107
% 18.79/19.22 Kept: 48670
% 18.79/19.22 Inuse: 2518
% 18.79/19.22 Deleted: 4625
% 18.79/19.22 Deletedinuse: 67
% 18.79/19.22
% 18.79/19.22 Resimplifying inuse:
% 18.79/19.22 Done
% 18.79/19.22
% 18.79/19.22 Resimplifying inuse:
% 18.79/19.22 Done
% 18.79/19.22
% 18.79/19.22
% 18.79/19.22 Intermediate Status:
% 18.79/19.22 Generated: 332817
% 18.79/19.22 Kept: 50672
% 18.79/19.22 Inuse: 2634
% 18.79/19.22 Deleted: 4628
% 18.79/19.22 Deletedinuse: 70
% 18.79/19.22
% 18.79/19.22 Resimplifying inuse:
% 18.79/19.22 Done
% 18.79/19.22
% 18.79/19.22 Resimplifying inuse:
% 18.79/19.22 Done
% 18.79/19.22
% 18.79/19.22
% 18.79/19.22 Intermediate Status:
% 18.79/19.22 Generated: 376067
% 18.79/19.22 Kept: 52725
% 18.79/19.22 Inuse: 2797
% 18.79/19.22 Deleted: 4638
% 18.79/19.22 Deletedinuse: 78
% 18.79/19.22
% 18.79/19.22 Resimplifying inuse:
% 18.79/19.22 Done
% 18.79/19.22
% 18.79/19.22 Resimplifying inuse:
% 18.79/19.22 Done
% 18.79/19.22
% 18.79/19.22
% 18.79/19.22 Intermediate Status:
% 18.79/19.22 Generated: 407742
% 18.79/19.22 Kept: 54727
% 18.79/19.22 Inuse: 2866
% 18.79/19.22 Deleted: 4791
% 18.79/19.22 Deletedinuse: 177
% 18.79/19.22
% 18.79/19.22 Resimplifying inuse:
% 18.79/19.22 Done
% 18.79/19.22
% 18.79/19.22 Resimplifying inuse:
% 18.79/19.22 Done
% 18.79/19.22
% 18.79/19.22
% 18.79/19.22 Intermediate Status:
% 18.79/19.22 Generated: 429082
% 18.79/19.22 Kept: 56744
% 18.79/19.22 Inuse: 3018
% 18.79/19.22 Deleted: 4829
% 18.79/19.22 Deletedinuse: 177
% 18.79/19.22
% 18.79/19.22 Resimplifying inuse:
% 18.79/19.22 Done
% 18.79/19.22
% 18.79/19.22 Resimplifying inuse:
% 18.79/19.22 Done
% 18.79/19.22
% 18.79/19.22
% 18.79/19.22 Intermediate Status:
% 18.79/19.22 Generated: 483383
% 18.79/19.22 Kept: 58748
% 18.79/19.22 Inuse: 3156
% 18.79/19.22 Deleted: 4863
% 18.79/19.22 Deletedinuse: 178
% 18.79/19.22
% 18.79/19.22 Resimplifying inuse:
% 18.79/19.22 Done
% 18.79/19.22
% 18.79/19.22
% 18.79/19.22 Bliksems!, er is een bewijs:
% 18.79/19.22 % SZS status Theorem
% 18.79/19.22 % SZS output start Refutation
% 18.79/19.22
% 18.79/19.22 (0) {G0,W8,D2,L2,V3,M2} I { ! coll( X, Y, Z ), coll( X, Z, Y ) }.
% 18.79/19.22 (2) {G0,W12,D2,L3,V4,M3} I { ! coll( X, T, Y ), ! coll( X, T, Z ), coll( Y
% 18.79/19.22 , Z, X ) }.
% 18.79/19.22 (3) {G0,W10,D2,L2,V4,M2} I { ! para( X, Y, Z, T ), para( X, Y, T, Z ) }.
% 18.79/19.22 (7) {G0,W10,D2,L2,V4,M2} I { ! perp( X, Y, Z, T ), perp( Z, T, X, Y ) }.
% 18.79/19.22 (8) {G0,W15,D2,L3,V6,M3} I { ! perp( X, Y, U, W ), ! perp( U, W, Z, T ),
% 18.79/19.22 para( X, Y, Z, T ) }.
% 18.79/19.22 (13) {G0,W10,D2,L2,V4,M2} I { ! cyclic( X, Y, Z, T ), cyclic( X, Y, T, Z )
% 18.79/19.22 }.
% 18.79/19.22 (14) {G0,W10,D2,L2,V4,M2} I { ! cyclic( X, Y, Z, T ), cyclic( X, Z, Y, T )
% 18.79/19.22 }.
% 18.79/19.22 (15) {G0,W10,D2,L2,V4,M2} I { ! cyclic( X, Y, Z, T ), cyclic( Y, X, Z, T )
% 18.79/19.22 }.
% 18.79/19.22 (16) {G0,W15,D2,L3,V5,M3} I { ! cyclic( U, X, Y, Z ), ! cyclic( U, X, Y, T
% 18.79/19.22 ), cyclic( X, Y, Z, T ) }.
% 18.79/19.22 (17) {G0,W18,D2,L2,V8,M2} I { ! eqangle( X, Y, Z, T, U, W, V0, V1 ),
% 18.79/19.22 eqangle( Y, X, Z, T, U, W, V0, V1 ) }.
% 18.79/19.22 (18) {G0,W18,D2,L2,V8,M2} I { ! eqangle( X, Y, Z, T, U, W, V0, V1 ),
% 18.79/19.22 eqangle( Z, T, X, Y, V0, V1, U, W ) }.
% 18.79/19.22 (19) {G0,W18,D2,L2,V8,M2} I { ! eqangle( X, Y, Z, T, U, W, V0, V1 ),
% 18.79/19.22 eqangle( U, W, V0, V1, X, Y, Z, T ) }.
% 18.79/19.22 (20) {G0,W18,D2,L2,V8,M2} I { ! eqangle( X, Y, Z, T, U, W, V0, V1 ),
% 18.79/19.22 eqangle( X, Y, U, W, Z, T, V0, V1 ) }.
% 18.79/19.22 (21) {G0,W27,D2,L3,V12,M3} I { ! eqangle( X, Y, Z, T, V2, V3, V4, V5 ), !
% 18.79/19.22 eqangle( V2, V3, V4, V5, U, W, V0, V1 ), eqangle( X, Y, Z, T, U, W, V0,
% 18.79/19.22 V1 ) }.
% 18.79/19.22 (39) {G0,W14,D2,L2,V6,M2} I { ! para( X, Y, Z, T ), eqangle( X, Y, U, W, Z
% 18.79/19.22 , T, U, W ) }.
% 18.79/19.22 (40) {G0,W14,D2,L2,V4,M2} I { ! cyclic( X, Y, Z, T ), eqangle( Z, X, Z, Y,
% 18.79/19.22 T, X, T, Y ) }.
% 18.79/19.22 (42) {G0,W18,D2,L3,V4,M3} I { ! eqangle( Z, X, Z, Y, T, X, T, Y ), ! coll(
% 18.79/19.22 Z, T, Y ), cyclic( X, Y, Z, T ) }.
% 18.79/19.22 (43) {G0,W29,D2,L5,V6,M5} I { ! cyclic( X, Y, U, Z ), ! cyclic( X, Y, U, T
% 18.79/19.22 ), ! cyclic( X, Y, U, W ), ! eqangle( U, X, U, Y, W, Z, W, T ), cong( X
% 18.79/19.22 , Y, Z, T ) }.
% 18.79/19.22 (56) {G0,W15,D2,L3,V4,M3} I { ! cong( X, Z, Y, Z ), ! cong( X, T, Y, T ),
% 18.79/19.22 perp( X, Y, Z, T ) }.
% 18.79/19.22 (66) {G0,W9,D2,L2,V3,M2} I { ! para( X, Y, X, Z ), coll( X, Y, Z ) }.
% 18.79/19.22 (100) {G0,W12,D3,L2,V4,M2} I { ! circle( Y, X, Z, T ), perp( skol12( X, Y )
% 18.79/19.22 , X, X, Y ) }.
% 18.79/19.22 (116) {G0,W5,D2,L1,V0,M1} I { circle( skol27, skol20, skol26, skol22 ) }.
% 18.79/19.22 (124) {G0,W9,D2,L1,V0,M1} I { ! eqangle( skol20, skol23, skol23, skol24,
% 18.79/19.22 skol25, skol23, skol23, skol22 ) }.
% 18.79/19.22 (191) {G1,W12,D2,L3,V4,M3} R(2,0) { ! coll( X, Y, Z ), ! coll( X, Y, T ),
% 18.79/19.22 coll( Z, X, T ) }.
% 18.79/19.22 (196) {G2,W8,D2,L2,V3,M2} F(191) { ! coll( X, Y, Z ), coll( Z, X, Z ) }.
% 18.79/19.22 (213) {G3,W12,D2,L3,V4,M3} R(196,2) { coll( X, Y, X ), ! coll( X, Z, Y ), !
% 18.79/19.22 coll( X, Z, T ) }.
% 18.79/19.22 (226) {G4,W8,D2,L2,V3,M2} F(213) { coll( X, Y, X ), ! coll( X, Z, Y ) }.
% 18.79/19.22 (279) {G1,W15,D2,L3,V6,M3} R(8,7) { ! perp( X, Y, Z, T ), para( U, W, Z, T
% 18.79/19.22 ), ! perp( X, Y, U, W ) }.
% 18.79/19.22 (297) {G2,W10,D2,L2,V4,M2} F(279) { ! perp( X, Y, Z, T ), para( Z, T, Z, T
% 18.79/19.22 ) }.
% 18.79/19.22 (360) {G1,W10,D2,L2,V4,M2} R(14,13) { ! cyclic( X, Y, Z, T ), cyclic( X, Z
% 18.79/19.22 , T, Y ) }.
% 18.79/19.22 (377) {G1,W10,D2,L2,V4,M2} R(15,14) { cyclic( X, Y, Z, T ), ! cyclic( Y, Z
% 18.79/19.22 , X, T ) }.
% 18.79/19.22 (379) {G1,W10,D2,L2,V4,M2} R(15,13) { cyclic( X, Y, Z, T ), ! cyclic( Y, X
% 18.79/19.22 , T, Z ) }.
% 18.79/19.22 (404) {G1,W15,D2,L3,V5,M3} R(16,15) { ! cyclic( X, Y, Z, T ), ! cyclic( X,
% 18.79/19.22 Y, Z, U ), cyclic( Z, Y, T, U ) }.
% 18.79/19.22 (409) {G1,W15,D2,L3,V5,M3} R(16,13) { ! cyclic( X, Y, Z, T ), cyclic( Y, Z
% 18.79/19.22 , T, U ), ! cyclic( X, Y, U, Z ) }.
% 18.79/19.22 (413) {G2,W10,D2,L2,V4,M2} F(404) { ! cyclic( X, Y, Z, T ), cyclic( Z, Y, T
% 18.79/19.22 , T ) }.
% 18.79/19.22 (482) {G1,W18,D2,L2,V8,M2} R(20,19) { ! eqangle( X, Y, Z, T, U, W, V0, V1 )
% 18.79/19.22 , eqangle( Z, T, V0, V1, X, Y, U, W ) }.
% 18.79/19.22 (506) {G1,W27,D2,L3,V12,M3} R(21,17) { ! eqangle( X, Y, Z, T, U, W, V0, V1
% 18.79/19.22 ), eqangle( V2, V3, V4, V5, U, W, V0, V1 ), ! eqangle( V3, V2, V4, V5, X
% 18.79/19.22 , Y, Z, T ) }.
% 18.79/19.22 (511) {G5,W8,D2,L2,V3,M2} R(226,0) { ! coll( X, Y, Z ), coll( X, X, Z ) }.
% 18.79/19.22 (812) {G1,W14,D2,L2,V6,M2} R(39,20) { ! para( X, Y, Z, T ), eqangle( X, Y,
% 18.79/19.22 Z, T, U, W, U, W ) }.
% 18.79/19.22 (814) {G1,W14,D2,L2,V6,M2} R(39,18) { ! para( X, Y, Z, T ), eqangle( U, W,
% 18.79/19.22 X, Y, U, W, Z, T ) }.
% 18.79/19.22 (818) {G1,W14,D2,L2,V6,M2} R(39,3) { eqangle( X, Y, Z, T, U, W, Z, T ), !
% 18.79/19.22 para( X, Y, W, U ) }.
% 18.79/19.22 (867) {G1,W18,D2,L3,V4,M3} R(42,19) { ! coll( X, Y, Z ), cyclic( T, Z, X, Y
% 18.79/19.22 ), ! eqangle( Y, T, Y, Z, X, T, X, Z ) }.
% 18.79/19.22 (940) {G1,W20,D2,L4,V4,M4} R(43,40);f { ! cyclic( X, Y, Z, X ), ! cyclic( X
% 18.79/19.22 , Y, Z, Y ), ! cyclic( X, Y, Z, T ), cong( X, Y, X, Y ) }.
% 18.79/19.22 (972) {G2,W15,D2,L3,V3,M3} F(940) { ! cyclic( X, Y, Z, X ), ! cyclic( X, Y
% 18.79/19.22 , Z, Y ), cong( X, Y, X, Y ) }.
% 18.79/19.22 (4821) {G1,W7,D3,L1,V0,M1} R(100,116) { perp( skol12( skol20, skol27 ),
% 18.79/19.22 skol20, skol20, skol27 ) }.
% 18.79/19.22 (25846) {G3,W5,D2,L1,V0,M1} R(4821,297) { para( skol20, skol27, skol20,
% 18.79/19.22 skol27 ) }.
% 18.79/19.22 (25901) {G4,W4,D2,L1,V0,M1} R(25846,66) { coll( skol20, skol27, skol27 )
% 18.79/19.22 }.
% 18.79/19.22 (25920) {G6,W4,D2,L1,V0,M1} R(25901,511) { coll( skol20, skol20, skol27 )
% 18.79/19.22 }.
% 18.79/19.22 (50278) {G4,W9,D2,L1,V2,M1} R(814,25846) { eqangle( X, Y, skol20, skol27, X
% 18.79/19.22 , Y, skol20, skol27 ) }.
% 18.79/19.22 (53213) {G7,W5,D2,L1,V1,M1} R(867,25920);r(50278) { cyclic( X, skol27,
% 18.79/19.22 skol20, skol20 ) }.
% 18.79/19.22 (53462) {G8,W5,D2,L1,V1,M1} R(53213,379) { cyclic( skol27, X, skol20,
% 18.79/19.22 skol20 ) }.
% 18.79/19.22 (53474) {G9,W5,D2,L1,V1,M1} R(53462,413) { cyclic( skol20, X, skol20,
% 18.79/19.22 skol20 ) }.
% 18.79/19.22 (53496) {G10,W5,D2,L1,V1,M1} R(53474,377) { cyclic( skol20, skol20, X,
% 18.79/19.22 skol20 ) }.
% 18.79/19.22 (53497) {G10,W5,D2,L1,V1,M1} R(53474,360) { cyclic( skol20, skol20, skol20
% 18.79/19.22 , X ) }.
% 18.79/19.22 (53502) {G11,W5,D2,L1,V2,M1} R(53496,409);r(53497) { cyclic( skol20, skol20
% 18.79/19.22 , X, Y ) }.
% 18.79/19.22 (53836) {G12,W5,D2,L1,V3,M1} R(53502,409);r(53502) { cyclic( skol20, X, Y,
% 18.79/19.22 Z ) }.
% 18.79/19.22 (53855) {G13,W5,D2,L1,V4,M1} R(53836,409);r(53836) { cyclic( X, Y, Z, T )
% 18.79/19.22 }.
% 18.79/19.22 (59105) {G14,W5,D2,L1,V2,M1} S(972);r(53855);r(53855) { cong( X, Y, X, Y )
% 18.79/19.22 }.
% 18.79/19.22 (59122) {G15,W5,D2,L1,V3,M1} R(59105,56);r(59105) { perp( X, X, Z, Y ) }.
% 18.79/19.22 (59159) {G16,W5,D2,L1,V4,M1} R(59122,279);r(59122) { para( X, Y, Z, T ) }.
% 18.79/19.22 (59291) {G17,W9,D2,L1,V6,M1} R(59159,818) { eqangle( X, Y, Z, T, U, W, Z, T
% 18.79/19.22 ) }.
% 18.79/19.22 (59293) {G17,W9,D2,L1,V6,M1} R(59159,812) { eqangle( X, Y, Z, T, U, W, U, W
% 18.79/19.22 ) }.
% 18.79/19.22 (59479) {G18,W9,D2,L1,V6,M1} R(59291,482) { eqangle( X, Y, X, Y, Z, T, U, W
% 18.79/19.22 ) }.
% 18.79/19.22 (59481) {G19,W9,D2,L1,V8,M1} R(59479,506);r(59293) { eqangle( X, Y, Z, T, U
% 18.79/19.22 , W, V0, V1 ) }.
% 18.79/19.22 (59482) {G20,W0,D0,L0,V0,M0} R(59481,124) { }.
% 18.79/19.22
% 18.79/19.22
% 18.79/19.22 % SZS output end Refutation
% 18.79/19.22 found a proof!
% 18.79/19.22
% 18.79/19.22
% 18.79/19.22 Unprocessed initial clauses:
% 18.79/19.22
% 18.79/19.22 (59484) {G0,W8,D2,L2,V3,M2} { ! coll( X, Y, Z ), coll( X, Z, Y ) }.
% 18.79/19.22 (59485) {G0,W8,D2,L2,V3,M2} { ! coll( X, Y, Z ), coll( Y, X, Z ) }.
% 18.79/19.22 (59486) {G0,W12,D2,L3,V4,M3} { ! coll( X, T, Y ), ! coll( X, T, Z ), coll
% 18.79/19.22 ( Y, Z, X ) }.
% 18.79/19.22 (59487) {G0,W10,D2,L2,V4,M2} { ! para( X, Y, Z, T ), para( X, Y, T, Z )
% 18.79/19.22 }.
% 18.79/19.22 (59488) {G0,W10,D2,L2,V4,M2} { ! para( X, Y, Z, T ), para( Z, T, X, Y )
% 18.79/19.22 }.
% 18.79/19.22 (59489) {G0,W15,D2,L3,V6,M3} { ! para( X, Y, U, W ), ! para( U, W, Z, T )
% 18.79/19.22 , para( X, Y, Z, T ) }.
% 18.79/19.22 (59490) {G0,W10,D2,L2,V4,M2} { ! perp( X, Y, Z, T ), perp( X, Y, T, Z )
% 18.79/19.22 }.
% 18.79/19.22 (59491) {G0,W10,D2,L2,V4,M2} { ! perp( X, Y, Z, T ), perp( Z, T, X, Y )
% 18.79/19.22 }.
% 18.79/19.22 (59492) {G0,W15,D2,L3,V6,M3} { ! perp( X, Y, U, W ), ! perp( U, W, Z, T )
% 18.79/19.22 , para( X, Y, Z, T ) }.
% 18.79/19.22 (59493) {G0,W15,D2,L3,V6,M3} { ! para( X, Y, U, W ), ! perp( U, W, Z, T )
% 18.79/19.22 , perp( X, Y, Z, T ) }.
% 18.79/19.22 (59494) {G0,W8,D2,L2,V3,M2} { ! midp( Z, Y, X ), midp( Z, X, Y ) }.
% 18.79/19.22 (59495) {G0,W15,D2,L3,V4,M3} { ! cong( T, X, T, Y ), ! cong( T, X, T, Z )
% 18.79/19.22 , circle( T, X, Y, Z ) }.
% 18.79/19.22 (59496) {G0,W20,D2,L4,V5,M4} { ! cong( U, X, U, Y ), ! cong( U, X, U, Z )
% 18.79/19.22 , ! cong( U, X, U, T ), cyclic( X, Y, Z, T ) }.
% 18.79/19.22 (59497) {G0,W10,D2,L2,V4,M2} { ! cyclic( X, Y, Z, T ), cyclic( X, Y, T, Z
% 18.79/19.22 ) }.
% 18.79/19.22 (59498) {G0,W10,D2,L2,V4,M2} { ! cyclic( X, Y, Z, T ), cyclic( X, Z, Y, T
% 18.79/19.22 ) }.
% 18.79/19.22 (59499) {G0,W10,D2,L2,V4,M2} { ! cyclic( X, Y, Z, T ), cyclic( Y, X, Z, T
% 18.79/19.22 ) }.
% 18.79/19.22 (59500) {G0,W15,D2,L3,V5,M3} { ! cyclic( U, X, Y, Z ), ! cyclic( U, X, Y,
% 18.79/19.22 T ), cyclic( X, Y, Z, T ) }.
% 18.79/19.22 (59501) {G0,W18,D2,L2,V8,M2} { ! eqangle( X, Y, Z, T, U, W, V0, V1 ),
% 18.79/19.22 eqangle( Y, X, Z, T, U, W, V0, V1 ) }.
% 18.79/19.22 (59502) {G0,W18,D2,L2,V8,M2} { ! eqangle( X, Y, Z, T, U, W, V0, V1 ),
% 18.79/19.22 eqangle( Z, T, X, Y, V0, V1, U, W ) }.
% 18.79/19.22 (59503) {G0,W18,D2,L2,V8,M2} { ! eqangle( X, Y, Z, T, U, W, V0, V1 ),
% 18.79/19.22 eqangle( U, W, V0, V1, X, Y, Z, T ) }.
% 18.79/19.22 (59504) {G0,W18,D2,L2,V8,M2} { ! eqangle( X, Y, Z, T, U, W, V0, V1 ),
% 18.79/19.22 eqangle( X, Y, U, W, Z, T, V0, V1 ) }.
% 18.79/19.22 (59505) {G0,W27,D2,L3,V12,M3} { ! eqangle( X, Y, Z, T, V2, V3, V4, V5 ), !
% 18.79/19.22 eqangle( V2, V3, V4, V5, U, W, V0, V1 ), eqangle( X, Y, Z, T, U, W, V0,
% 18.79/19.22 V1 ) }.
% 18.79/19.22 (59506) {G0,W10,D2,L2,V4,M2} { ! cong( X, Y, Z, T ), cong( X, Y, T, Z )
% 18.79/19.22 }.
% 18.79/19.22 (59507) {G0,W10,D2,L2,V4,M2} { ! cong( X, Y, Z, T ), cong( Z, T, X, Y )
% 18.79/19.22 }.
% 18.79/19.22 (59508) {G0,W15,D2,L3,V6,M3} { ! cong( X, Y, U, W ), ! cong( U, W, Z, T )
% 18.79/19.22 , cong( X, Y, Z, T ) }.
% 18.79/19.22 (59509) {G0,W18,D2,L2,V8,M2} { ! eqratio( X, Y, Z, T, U, W, V0, V1 ),
% 18.79/19.22 eqratio( Y, X, Z, T, U, W, V0, V1 ) }.
% 18.79/19.22 (59510) {G0,W18,D2,L2,V8,M2} { ! eqratio( X, Y, Z, T, U, W, V0, V1 ),
% 18.79/19.22 eqratio( Z, T, X, Y, V0, V1, U, W ) }.
% 18.79/19.22 (59511) {G0,W18,D2,L2,V8,M2} { ! eqratio( X, Y, Z, T, U, W, V0, V1 ),
% 18.79/19.22 eqratio( U, W, V0, V1, X, Y, Z, T ) }.
% 18.79/19.22 (59512) {G0,W18,D2,L2,V8,M2} { ! eqratio( X, Y, Z, T, U, W, V0, V1 ),
% 18.79/19.22 eqratio( X, Y, U, W, Z, T, V0, V1 ) }.
% 18.79/19.22 (59513) {G0,W27,D2,L3,V12,M3} { ! eqratio( X, Y, Z, T, V2, V3, V4, V5 ), !
% 18.79/19.22 eqratio( V2, V3, V4, V5, U, W, V0, V1 ), eqratio( X, Y, Z, T, U, W, V0,
% 18.79/19.22 V1 ) }.
% 18.79/19.22 (59514) {G0,W14,D2,L2,V6,M2} { ! simtri( X, Z, Y, T, W, U ), simtri( X, Y
% 18.79/19.22 , Z, T, U, W ) }.
% 18.79/19.22 (59515) {G0,W14,D2,L2,V6,M2} { ! simtri( Y, X, Z, U, T, W ), simtri( X, Y
% 18.79/19.22 , Z, T, U, W ) }.
% 18.79/19.22 (59516) {G0,W14,D2,L2,V6,M2} { ! simtri( T, U, W, X, Y, Z ), simtri( X, Y
% 18.79/19.22 , Z, T, U, W ) }.
% 18.79/19.22 (59517) {G0,W21,D2,L3,V9,M3} { ! simtri( X, Y, Z, V0, V1, V2 ), ! simtri(
% 18.79/19.22 V0, V1, V2, T, U, W ), simtri( X, Y, Z, T, U, W ) }.
% 18.79/19.22 (59518) {G0,W14,D2,L2,V6,M2} { ! contri( X, Z, Y, T, W, U ), contri( X, Y
% 18.79/19.22 , Z, T, U, W ) }.
% 18.79/19.22 (59519) {G0,W14,D2,L2,V6,M2} { ! contri( Y, X, Z, U, T, W ), contri( X, Y
% 18.79/19.22 , Z, T, U, W ) }.
% 18.79/19.22 (59520) {G0,W14,D2,L2,V6,M2} { ! contri( T, U, W, X, Y, Z ), contri( X, Y
% 18.79/19.22 , Z, T, U, W ) }.
% 18.79/19.22 (59521) {G0,W21,D2,L3,V9,M3} { ! contri( X, Y, Z, V0, V1, V2 ), ! contri(
% 18.79/19.22 V0, V1, V2, T, U, W ), contri( X, Y, Z, T, U, W ) }.
% 18.79/19.22 (59522) {G0,W14,D2,L2,V6,M2} { ! eqangle( X, Y, U, W, Z, T, U, W ), para(
% 18.79/19.22 X, Y, Z, T ) }.
% 18.79/19.22 (59523) {G0,W14,D2,L2,V6,M2} { ! para( X, Y, Z, T ), eqangle( X, Y, U, W,
% 18.79/19.22 Z, T, U, W ) }.
% 18.79/19.22 (59524) {G0,W14,D2,L2,V4,M2} { ! cyclic( X, Y, Z, T ), eqangle( Z, X, Z, Y
% 18.79/19.22 , T, X, T, Y ) }.
% 18.79/19.22 (59525) {G0,W18,D2,L3,V4,M3} { ! eqangle( Z, X, Z, Y, T, X, T, Y ), coll(
% 18.79/19.22 Z, T, X ), cyclic( X, Y, Z, T ) }.
% 18.79/19.22 (59526) {G0,W18,D2,L3,V4,M3} { ! eqangle( Z, X, Z, Y, T, X, T, Y ), ! coll
% 18.79/19.22 ( Z, T, Y ), cyclic( X, Y, Z, T ) }.
% 18.79/19.22 (59527) {G0,W29,D2,L5,V6,M5} { ! cyclic( X, Y, U, Z ), ! cyclic( X, Y, U,
% 18.79/19.22 T ), ! cyclic( X, Y, U, W ), ! eqangle( U, X, U, Y, W, Z, W, T ), cong( X
% 18.79/19.22 , Y, Z, T ) }.
% 18.79/19.22 (59528) {G0,W13,D2,L3,V5,M3} { ! midp( Z, U, X ), ! midp( T, U, Y ), para
% 18.79/19.22 ( Z, T, X, Y ) }.
% 18.79/19.22 (59529) {G0,W17,D2,L4,V5,M4} { ! midp( U, X, T ), ! para( U, Z, T, Y ), !
% 18.79/19.22 coll( Z, X, Y ), midp( Z, X, Y ) }.
% 18.79/19.22 (59530) {G0,W14,D2,L2,V3,M2} { ! cong( Z, X, Z, Y ), eqangle( Z, X, X, Y,
% 18.79/19.22 X, Y, Z, Y ) }.
% 18.79/19.22 (59531) {G0,W18,D2,L3,V3,M3} { ! eqangle( Z, X, X, Y, X, Y, Z, Y ), coll(
% 18.79/19.22 Z, X, Y ), cong( Z, X, Z, Y ) }.
% 18.79/19.22 (59532) {G0,W19,D2,L3,V5,M3} { ! circle( U, X, Y, Z ), ! perp( U, X, X, T
% 18.79/19.22 ), eqangle( X, T, X, Y, Z, X, Z, Y ) }.
% 18.79/19.22 (59533) {G0,W19,D2,L3,V5,M3} { ! circle( Y, X, T, U ), ! eqangle( X, Z, X
% 18.79/19.22 , T, U, X, U, T ), perp( Y, X, X, Z ) }.
% 18.79/19.22 (59534) {G0,W18,D2,L3,V5,M3} { ! circle( T, X, Y, Z ), ! midp( U, Y, Z ),
% 18.79/19.22 eqangle( X, Y, X, Z, T, Y, T, U ) }.
% 18.79/19.22 (59535) {G0,W22,D2,L4,V5,M4} { ! circle( U, T, X, Y ), ! coll( Z, X, Y ),
% 18.79/19.22 ! eqangle( T, X, T, Y, U, X, U, Z ), midp( Z, X, Y ) }.
% 18.79/19.22 (59536) {G0,W14,D2,L3,V4,M3} { ! perp( X, Y, Y, T ), ! midp( Z, X, T ),
% 18.79/19.22 cong( X, Z, Y, Z ) }.
% 18.79/19.22 (59537) {G0,W14,D2,L3,V4,M3} { ! circle( T, X, Y, Z ), ! coll( T, X, Z ),
% 18.79/19.22 perp( X, Y, Y, Z ) }.
% 18.79/19.22 (59538) {G0,W19,D2,L3,V4,M3} { ! cyclic( X, Y, Z, T ), ! para( X, Y, Z, T
% 18.79/19.22 ), eqangle( X, T, Z, T, Z, T, Z, Y ) }.
% 18.79/19.22 (59539) {G0,W14,D2,L3,V4,M3} { ! midp( T, X, Y ), ! perp( Z, T, X, Y ),
% 18.79/19.22 cong( Z, X, Z, Y ) }.
% 18.79/19.22 (59540) {G0,W15,D2,L3,V4,M3} { ! cong( X, Z, Y, Z ), ! cong( X, T, Y, T )
% 18.79/19.22 , perp( X, Y, Z, T ) }.
% 18.79/19.22 (59541) {G0,W20,D2,L4,V4,M4} { ! cong( X, Y, T, Y ), ! cong( X, Z, T, Z )
% 18.79/19.22 , ! cyclic( X, T, Y, Z ), perp( Y, X, X, Z ) }.
% 18.79/19.22 (59542) {G0,W29,D2,L4,V6,M4} { ! eqangle( X, Y, Y, Z, T, U, U, W ), !
% 18.79/19.22 eqangle( X, Z, Y, Z, T, W, U, W ), coll( X, Y, Z ), simtri( X, Y, Z, T, U
% 18.79/19.22 , W ) }.
% 18.79/19.22 (59543) {G0,W16,D2,L2,V6,M2} { ! simtri( X, Y, Z, T, U, W ), eqratio( X, Y
% 18.79/19.22 , X, Z, T, U, T, W ) }.
% 18.79/19.22 (59544) {G0,W16,D2,L2,V6,M2} { ! simtri( X, Y, Z, T, U, W ), eqangle( X, Y
% 18.79/19.22 , Y, Z, T, U, U, W ) }.
% 18.79/19.22 (59545) {G0,W19,D2,L3,V6,M3} { ! simtri( X, Y, Z, T, U, W ), ! cong( X, Y
% 18.79/19.22 , T, U ), contri( X, Y, Z, T, U, W ) }.
% 18.79/19.22 (59546) {G0,W12,D2,L2,V6,M2} { ! contri( X, Y, U, Z, T, W ), cong( X, Y, Z
% 18.79/19.22 , T ) }.
% 18.79/19.22 (59547) {G0,W13,D2,L3,V5,M3} { ! midp( U, X, Y ), ! midp( U, Z, T ), para
% 18.79/19.22 ( X, Z, Y, T ) }.
% 18.79/19.22 (59548) {G0,W18,D2,L4,V5,M4} { ! midp( Z, T, U ), ! para( T, X, U, Y ), !
% 18.79/19.22 para( T, Y, U, X ), midp( Z, X, Y ) }.
% 18.79/19.22 (59549) {G0,W22,D2,L4,V5,M4} { ! para( X, Y, Z, T ), ! coll( U, X, Z ), !
% 18.79/19.22 coll( U, Y, T ), eqratio( U, X, X, Z, U, Y, Y, T ) }.
% 18.79/19.22 (59550) {G0,W9,D2,L2,V3,M2} { ! para( X, Y, X, Z ), coll( X, Y, Z ) }.
% 18.79/19.22 (59551) {G0,W13,D2,L3,V3,M3} { ! cong( X, Y, X, Z ), ! coll( X, Y, Z ),
% 18.79/19.22 midp( X, Y, Z ) }.
% 18.79/19.22 (59552) {G0,W9,D2,L2,V3,M2} { ! midp( X, Y, Z ), cong( X, Y, X, Z ) }.
% 18.79/19.22 (59553) {G0,W8,D2,L2,V3,M2} { ! midp( X, Y, Z ), coll( X, Y, Z ) }.
% 18.79/19.22 (59554) {G0,W17,D2,L3,V6,M3} { ! midp( U, X, Y ), ! midp( W, Z, T ),
% 18.79/19.22 eqratio( U, X, X, Y, W, Z, Z, T ) }.
% 18.79/19.22 (59555) {G0,W19,D2,L3,V4,M3} { ! eqangle( X, Y, Z, T, Z, T, X, Y ), para(
% 18.79/19.22 X, Y, Z, T ), perp( X, Y, Z, T ) }.
% 18.79/19.22 (59556) {G0,W19,D2,L3,V4,M3} { ! eqangle( X, Y, Z, T, Z, T, X, Y ), perp(
% 18.79/19.22 X, Y, Z, T ), para( X, Y, Z, T ) }.
% 18.79/19.22 (59557) {G0,W19,D2,L3,V8,M3} { ! eqangle( X, Y, Z, T, U, W, V0, V1 ), !
% 18.79/19.22 para( U, W, V0, V1 ), para( X, Y, Z, T ) }.
% 18.79/19.22 (59558) {G0,W19,D2,L3,V8,M3} { ! eqangle( X, Y, Z, T, U, W, V0, V1 ), !
% 18.79/19.22 perp( U, W, V0, V1 ), perp( X, Y, Z, T ) }.
% 18.79/19.22 (59559) {G0,W19,D2,L3,V8,M3} { ! eqratio( X, Y, Z, T, U, W, V0, V1 ), !
% 18.79/19.22 cong( U, W, V0, V1 ), cong( X, Y, Z, T ) }.
% 18.79/19.22 (59560) {G0,W22,D3,L3,V6,M3} { ! perp( Z, Y, Y, X ), ! eqangle( T, Z, Y, Z
% 18.79/19.22 , Y, Z, X, Z ), coll( skol1( U, W, Z, T ), Z, T ) }.
% 18.79/19.22 (59561) {G0,W22,D3,L3,V4,M3} { ! perp( Z, Y, Y, X ), ! eqangle( T, Z, Y, Z
% 18.79/19.22 , Y, Z, X, Z ), coll( skol1( X, Y, Z, T ), X, Y ) }.
% 18.79/19.22 (59562) {G0,W22,D3,L3,V6,M3} { ! cong( Z, X, Z, Y ), ! eqangle( X, Z, Z, T
% 18.79/19.22 , Z, T, Z, Y ), coll( skol2( U, W, Z, T ), Z, T ) }.
% 18.79/19.22 (59563) {G0,W22,D3,L3,V4,M3} { ! cong( Z, X, Z, Y ), ! eqangle( X, Z, Z, T
% 18.79/19.22 , Z, T, Z, Y ), coll( Y, X, skol2( X, Y, Z, T ) ) }.
% 18.79/19.22 (59564) {G0,W22,D3,L3,V6,M3} { ! perp( Z, T, X, Y ), ! eqangle( X, Z, Z, T
% 18.79/19.22 , Z, T, Z, Y ), coll( skol3( U, W, Z, T ), Z, T ) }.
% 18.79/19.22 (59565) {G0,W22,D3,L3,V4,M3} { ! perp( Z, T, X, Y ), ! eqangle( X, Z, Z, T
% 18.79/19.22 , Z, T, Z, Y ), coll( Y, X, skol3( X, Y, Z, T ) ) }.
% 18.79/19.22 (59566) {G0,W18,D3,L3,V6,M3} { ! perp( Z, T, X, Y ), ! cong( Z, X, Z, Y )
% 18.79/19.22 , coll( skol4( U, W, Z, T ), Z, T ) }.
% 18.79/19.22 (59567) {G0,W18,D3,L3,V4,M3} { ! perp( Z, T, X, Y ), ! cong( Z, X, Z, Y )
% 18.79/19.22 , coll( Y, X, skol4( X, Y, Z, T ) ) }.
% 18.79/19.22 (59568) {G0,W22,D3,L3,V6,M3} { ! eqangle( X, Z, Y, Z, X, T, Y, U ), coll(
% 18.79/19.22 X, Y, Z ), cyclic( T, Y, Z, skol5( W, Y, Z, T ) ) }.
% 18.79/19.22 (59569) {G0,W30,D3,L3,V5,M3} { ! eqangle( X, Z, Y, Z, X, T, Y, U ), coll(
% 18.79/19.22 X, Y, Z ), eqangle( X, Z, Y, Z, X, skol5( X, Y, Z, T ), Y, skol5( X, Y, Z
% 18.79/19.22 , T ) ) }.
% 18.79/19.22 (59570) {G0,W18,D3,L3,V10,M3} { ! midp( U, X, Y ), ! midp( W, Z, T ), midp
% 18.79/19.22 ( skol6( X, V0, V1, T, V2, V3 ), X, T ) }.
% 18.79/19.22 (59571) {G0,W19,D3,L3,V8,M3} { ! midp( U, X, Y ), ! midp( W, Z, T ), para
% 18.79/19.22 ( skol6( X, V0, Z, T, V1, W ), W, X, Z ) }.
% 18.79/19.22 (59572) {G0,W19,D3,L3,V6,M3} { ! midp( U, X, Y ), ! midp( W, Z, T ), para
% 18.79/19.22 ( skol6( X, Y, Z, T, U, W ), U, Y, T ) }.
% 18.79/19.22 (59573) {G0,W22,D3,L5,V7,M5} { ! midp( Z, X, Y ), ! midp( W, T, U ), !
% 18.79/19.22 coll( T, X, Y ), ! coll( U, X, Y ), midp( skol7( X, V0 ), X, V0 ) }.
% 18.79/19.22 (59574) {G0,W26,D3,L5,V8,M5} { ! midp( T, X, U ), ! para( X, W, Z, T ), !
% 18.79/19.22 para( X, W, U, Y ), ! coll( W, Y, Z ), coll( skol8( V0, V1, Z, T ), T, Z
% 18.79/19.22 ) }.
% 18.79/19.22 (59575) {G0,W26,D3,L5,V6,M5} { ! midp( T, X, U ), ! para( X, W, Z, T ), !
% 18.79/19.22 para( X, W, U, Y ), ! coll( W, Y, Z ), coll( skol8( X, Y, Z, T ), X, Y )
% 18.79/19.22 }.
% 18.79/19.22 (59576) {G0,W19,D3,L3,V7,M3} { ! cong( T, Z, T, U ), ! perp( X, Y, Y, T )
% 18.79/19.22 , cong( T, Z, T, skol9( W, V0, Z, T ) ) }.
% 18.79/19.22 (59577) {G0,W19,D3,L3,V6,M3} { ! cong( T, Z, T, U ), ! perp( X, Y, Y, T )
% 18.79/19.22 , cong( Y, Z, Y, skol9( W, Y, Z, T ) ) }.
% 18.79/19.22 (59578) {G0,W19,D3,L3,V5,M3} { ! cong( T, Z, T, U ), ! perp( X, Y, Y, T )
% 18.79/19.22 , para( skol9( X, Y, Z, T ), Z, X, Y ) }.
% 18.79/19.22 (59579) {G0,W17,D3,L3,V5,M3} { ! perp( X, T, Y, Z ), ! perp( Y, T, X, Z )
% 18.79/19.22 , coll( skol10( U, Y, Z ), Z, Y ) }.
% 18.79/19.22 (59580) {G0,W18,D3,L3,V4,M3} { ! perp( X, T, Y, Z ), ! perp( Y, T, X, Z )
% 18.79/19.22 , perp( X, skol10( X, Y, Z ), Z, Y ) }.
% 18.79/19.22 (59581) {G0,W14,D2,L3,V4,M3} { ! perp( X, T, Y, Z ), ! perp( Y, T, X, Z )
% 18.79/19.22 , alpha1( X, Y, Z ) }.
% 18.79/19.22 (59582) {G0,W11,D3,L2,V4,M2} { ! alpha1( X, Y, Z ), coll( skol11( X, T, Z
% 18.79/19.22 ), Z, X ) }.
% 18.79/19.22 (59583) {G0,W12,D3,L2,V3,M2} { ! alpha1( X, Y, Z ), perp( Y, skol11( X, Y
% 18.79/19.22 , Z ), Z, X ) }.
% 18.79/19.22 (59584) {G0,W13,D2,L3,V4,M3} { ! coll( T, Z, X ), ! perp( Y, T, Z, X ),
% 18.79/19.22 alpha1( X, Y, Z ) }.
% 18.79/19.22 (59585) {G0,W12,D3,L2,V4,M2} { ! circle( Y, X, Z, T ), perp( skol12( X, Y
% 18.79/19.22 ), X, X, Y ) }.
% 18.79/19.22 (59586) {G0,W28,D3,L5,V8,M5} { ! circle( W, X, Y, Z ), ! cong( W, X, W, T
% 18.79/19.22 ), ! cong( U, X, U, Y ), W = U, alpha2( X, Z, U, skol13( X, V0, Z, V1, U
% 18.79/19.22 ) ) }.
% 18.79/19.22 (59587) {G0,W26,D3,L5,V8,M5} { ! circle( W, X, Y, Z ), ! cong( W, X, W, T
% 18.79/19.22 ), ! cong( U, X, U, Y ), W = U, coll( skol21( V0, Y, T, V1 ), Y, T ) }.
% 18.79/19.22 (59588) {G0,W27,D3,L5,V6,M5} { ! circle( W, X, Y, Z ), ! cong( W, X, W, T
% 18.79/19.22 ), ! cong( U, X, U, Y ), W = U, cong( skol21( X, Y, T, U ), U, U, X )
% 18.79/19.22 }.
% 18.79/19.22 (59589) {G0,W9,D2,L2,V4,M2} { ! alpha2( X, Y, Z, T ), coll( T, X, Y ) }.
% 18.79/19.22 (59590) {G0,W10,D2,L2,V4,M2} { ! alpha2( X, Y, Z, T ), cong( T, Z, Z, X )
% 18.79/19.22 }.
% 18.79/19.22 (59591) {G0,W14,D2,L3,V4,M3} { ! coll( T, X, Y ), ! cong( T, Z, Z, X ),
% 18.79/19.22 alpha2( X, Y, Z, T ) }.
% 18.79/19.22 (59592) {G0,W22,D3,L4,V5,M4} { ! cyclic( X, Y, Z, T ), ! para( X, Y, Z, T
% 18.79/19.22 ), ! midp( U, X, Y ), circle( skol14( X, Y, Z ), X, Y, Z ) }.
% 18.79/19.22 (59593) {G0,W18,D3,L3,V4,M3} { ! perp( X, Z, Z, Y ), ! cyclic( X, Y, Z, T
% 18.79/19.22 ), circle( skol15( X, Y, Z ), X, Y, Z ) }.
% 18.79/19.22 (59594) {G0,W16,D3,L3,V6,M3} { ! perp( X, U, U, T ), ! coll( T, Y, Z ),
% 18.79/19.22 coll( skol16( W, Y, Z ), Y, Z ) }.
% 18.79/19.22 (59595) {G0,W17,D3,L3,V5,M3} { ! perp( X, U, U, T ), ! coll( T, Y, Z ),
% 18.79/19.22 perp( skol16( X, Y, Z ), X, Y, Z ) }.
% 18.79/19.22 (59596) {G0,W20,D3,L4,V5,M4} { ! perp( X, Z, X, Y ), ! perp( Y, X, Y, T )
% 18.79/19.22 , ! midp( U, Z, T ), midp( skol17( X, Y ), X, Y ) }.
% 18.79/19.22 (59597) {G0,W16,D3,L3,V3,M3} { ! cong( Y, X, Y, Z ), ! perp( X, Y, Y, Z )
% 18.79/19.22 , coll( X, Y, skol18( X, Y ) ) }.
% 18.79/19.22 (59598) {G0,W17,D3,L3,V3,M3} { ! cong( Y, X, Y, Z ), ! perp( X, Y, Y, Z )
% 18.79/19.22 , cong( Y, X, Y, skol18( X, Y ) ) }.
% 18.79/19.22 (59599) {G0,W25,D3,L5,V8,M5} { ! para( U, W, X, Y ), ! coll( Z, U, X ), !
% 18.79/19.22 coll( Z, W, Y ), ! coll( T, U, W ), coll( Z, T, skol19( V0, V1, Z, T ) )
% 18.79/19.22 }.
% 18.79/19.22 (59600) {G0,W25,D3,L5,V6,M5} { ! para( U, W, X, Y ), ! coll( Z, U, X ), !
% 18.79/19.22 coll( Z, W, Y ), ! coll( T, U, W ), coll( skol19( X, Y, Z, T ), X, Y )
% 18.79/19.22 }.
% 18.79/19.22 (59601) {G0,W5,D2,L1,V0,M1} { circle( skol27, skol20, skol26, skol22 ) }.
% 18.79/19.22 (59602) {G0,W5,D2,L1,V0,M1} { circle( skol27, skol20, skol28, skol29 ) }.
% 18.79/19.22 (59603) {G0,W4,D2,L1,V0,M1} { coll( skol23, skol20, skol26 ) }.
% 18.79/19.22 (59604) {G0,W4,D2,L1,V0,M1} { coll( skol23, skol22, skol28 ) }.
% 18.79/19.22 (59605) {G0,W5,D2,L1,V0,M1} { perp( skol22, skol28, skol28, skol24 ) }.
% 18.79/19.22 (59606) {G0,W5,D2,L1,V0,M1} { perp( skol20, skol26, skol20, skol24 ) }.
% 18.79/19.22 (59607) {G0,W5,D2,L1,V0,M1} { perp( skol22, skol28, skol22, skol25 ) }.
% 18.79/19.22 (59608) {G0,W5,D2,L1,V0,M1} { perp( skol20, skol26, skol26, skol25 ) }.
% 18.79/19.22 (59609) {G0,W9,D2,L1,V0,M1} { ! eqangle( skol20, skol23, skol23, skol24,
% 18.79/19.22 skol25, skol23, skol23, skol22 ) }.
% 18.79/19.22
% 18.79/19.22
% 18.79/19.22 Total Proof:
% 18.79/19.22
% 18.79/19.22 subsumption: (0) {G0,W8,D2,L2,V3,M2} I { ! coll( X, Y, Z ), coll( X, Z, Y )
% 18.79/19.22 }.
% 18.79/19.22 parent0: (59484) {G0,W8,D2,L2,V3,M2} { ! coll( X, Y, Z ), coll( X, Z, Y )
% 18.79/19.22 }.
% 18.79/19.22 substitution0:
% 18.79/19.22 X := X
% 18.79/19.22 Y := Y
% 18.79/19.22 Z := Z
% 18.79/19.22 end
% 18.79/19.22 permutation0:
% 18.79/19.22 0 ==> 0
% 18.79/19.22 1 ==> 1
% 18.79/19.22 end
% 18.79/19.22
% 18.79/19.22 subsumption: (2) {G0,W12,D2,L3,V4,M3} I { ! coll( X, T, Y ), ! coll( X, T,
% 18.79/19.22 Z ), coll( Y, Z, X ) }.
% 18.79/19.22 parent0: (59486) {G0,W12,D2,L3,V4,M3} { ! coll( X, T, Y ), ! coll( X, T, Z
% 18.79/19.22 ), coll( Y, Z, X ) }.
% 18.79/19.22 substitution0:
% 18.79/19.22 X := X
% 18.79/19.22 Y := Y
% 18.79/19.22 Z := Z
% 18.79/19.22 T := T
% 18.79/19.22 end
% 18.79/19.22 permutation0:
% 18.79/19.22 0 ==> 0
% 18.79/19.22 1 ==> 1
% 18.79/19.22 2 ==> 2
% 18.79/19.22 end
% 18.79/19.22
% 18.79/19.22 subsumption: (3) {G0,W10,D2,L2,V4,M2} I { ! para( X, Y, Z, T ), para( X, Y
% 18.85/19.22 , T, Z ) }.
% 18.85/19.22 parent0: (59487) {G0,W10,D2,L2,V4,M2} { ! para( X, Y, Z, T ), para( X, Y,
% 18.85/19.22 T, Z ) }.
% 18.85/19.22 substitution0:
% 18.85/19.22 X := X
% 18.85/19.22 Y := Y
% 18.85/19.22 Z := Z
% 18.85/19.22 T := T
% 18.85/19.22 end
% 18.85/19.22 permutation0:
% 18.85/19.22 0 ==> 0
% 18.85/19.22 1 ==> 1
% 18.85/19.22 end
% 18.85/19.22
% 18.85/19.22 subsumption: (7) {G0,W10,D2,L2,V4,M2} I { ! perp( X, Y, Z, T ), perp( Z, T
% 18.85/19.22 , X, Y ) }.
% 18.85/19.22 parent0: (59491) {G0,W10,D2,L2,V4,M2} { ! perp( X, Y, Z, T ), perp( Z, T,
% 18.85/19.22 X, Y ) }.
% 18.85/19.22 substitution0:
% 18.85/19.22 X := X
% 18.85/19.22 Y := Y
% 18.85/19.22 Z := Z
% 18.85/19.22 T := T
% 18.85/19.22 end
% 18.85/19.22 permutation0:
% 18.85/19.22 0 ==> 0
% 18.85/19.22 1 ==> 1
% 18.85/19.22 end
% 18.85/19.22
% 18.85/19.22 subsumption: (8) {G0,W15,D2,L3,V6,M3} I { ! perp( X, Y, U, W ), ! perp( U,
% 18.85/19.22 W, Z, T ), para( X, Y, Z, T ) }.
% 18.85/19.22 parent0: (59492) {G0,W15,D2,L3,V6,M3} { ! perp( X, Y, U, W ), ! perp( U, W
% 18.85/19.22 , Z, T ), para( X, Y, Z, T ) }.
% 18.85/19.22 substitution0:
% 18.85/19.22 X := X
% 18.85/19.22 Y := Y
% 18.85/19.22 Z := Z
% 18.85/19.22 T := T
% 18.85/19.22 U := U
% 18.85/19.22 W := W
% 18.85/19.22 end
% 18.85/19.22 permutation0:
% 18.85/19.22 0 ==> 0
% 18.85/19.22 1 ==> 1
% 18.85/19.22 2 ==> 2
% 18.85/19.22 end
% 18.85/19.22
% 18.85/19.22 subsumption: (13) {G0,W10,D2,L2,V4,M2} I { ! cyclic( X, Y, Z, T ), cyclic(
% 18.85/19.22 X, Y, T, Z ) }.
% 18.85/19.22 parent0: (59497) {G0,W10,D2,L2,V4,M2} { ! cyclic( X, Y, Z, T ), cyclic( X
% 18.85/19.22 , Y, T, Z ) }.
% 18.85/19.22 substitution0:
% 18.85/19.22 X := X
% 18.85/19.22 Y := Y
% 18.85/19.22 Z := Z
% 18.85/19.22 T := T
% 18.85/19.22 end
% 18.85/19.22 permutation0:
% 18.85/19.22 0 ==> 0
% 18.85/19.22 1 ==> 1
% 18.85/19.22 end
% 18.85/19.22
% 18.85/19.22 subsumption: (14) {G0,W10,D2,L2,V4,M2} I { ! cyclic( X, Y, Z, T ), cyclic(
% 18.85/19.22 X, Z, Y, T ) }.
% 18.85/19.22 parent0: (59498) {G0,W10,D2,L2,V4,M2} { ! cyclic( X, Y, Z, T ), cyclic( X
% 18.85/19.22 , Z, Y, T ) }.
% 18.85/19.22 substitution0:
% 18.85/19.22 X := X
% 18.85/19.22 Y := Y
% 18.85/19.22 Z := Z
% 18.85/19.22 T := T
% 18.85/19.22 end
% 18.85/19.22 permutation0:
% 18.85/19.22 0 ==> 0
% 18.85/19.22 1 ==> 1
% 18.85/19.22 end
% 18.85/19.22
% 18.85/19.22 subsumption: (15) {G0,W10,D2,L2,V4,M2} I { ! cyclic( X, Y, Z, T ), cyclic(
% 18.85/19.22 Y, X, Z, T ) }.
% 18.85/19.22 parent0: (59499) {G0,W10,D2,L2,V4,M2} { ! cyclic( X, Y, Z, T ), cyclic( Y
% 18.85/19.22 , X, Z, T ) }.
% 18.85/19.22 substitution0:
% 18.85/19.22 X := X
% 18.85/19.22 Y := Y
% 18.85/19.22 Z := Z
% 18.85/19.22 T := T
% 18.85/19.22 end
% 18.85/19.22 permutation0:
% 18.85/19.22 0 ==> 0
% 18.85/19.22 1 ==> 1
% 18.85/19.22 end
% 18.85/19.22
% 18.85/19.22 subsumption: (16) {G0,W15,D2,L3,V5,M3} I { ! cyclic( U, X, Y, Z ), ! cyclic
% 18.85/19.22 ( U, X, Y, T ), cyclic( X, Y, Z, T ) }.
% 18.85/19.22 parent0: (59500) {G0,W15,D2,L3,V5,M3} { ! cyclic( U, X, Y, Z ), ! cyclic(
% 18.85/19.22 U, X, Y, T ), cyclic( X, Y, Z, T ) }.
% 18.85/19.22 substitution0:
% 18.85/19.22 X := X
% 18.85/19.22 Y := Y
% 18.85/19.22 Z := Z
% 18.85/19.22 T := T
% 18.85/19.22 U := U
% 18.85/19.22 end
% 18.85/19.22 permutation0:
% 18.85/19.22 0 ==> 0
% 18.85/19.22 1 ==> 1
% 18.85/19.22 2 ==> 2
% 18.85/19.22 end
% 18.85/19.22
% 18.85/19.22 subsumption: (17) {G0,W18,D2,L2,V8,M2} I { ! eqangle( X, Y, Z, T, U, W, V0
% 18.85/19.22 , V1 ), eqangle( Y, X, Z, T, U, W, V0, V1 ) }.
% 18.85/19.22 parent0: (59501) {G0,W18,D2,L2,V8,M2} { ! eqangle( X, Y, Z, T, U, W, V0,
% 18.85/19.22 V1 ), eqangle( Y, X, Z, T, U, W, V0, V1 ) }.
% 18.85/19.22 substitution0:
% 18.85/19.22 X := X
% 18.85/19.22 Y := Y
% 18.85/19.22 Z := Z
% 18.85/19.22 T := T
% 18.85/19.22 U := U
% 18.85/19.22 W := W
% 18.85/19.22 V0 := V0
% 18.85/19.22 V1 := V1
% 18.85/19.22 end
% 18.85/19.22 permutation0:
% 18.85/19.22 0 ==> 0
% 18.85/19.22 1 ==> 1
% 18.85/19.22 end
% 18.85/19.22
% 18.85/19.22 subsumption: (18) {G0,W18,D2,L2,V8,M2} I { ! eqangle( X, Y, Z, T, U, W, V0
% 18.85/19.22 , V1 ), eqangle( Z, T, X, Y, V0, V1, U, W ) }.
% 18.85/19.22 parent0: (59502) {G0,W18,D2,L2,V8,M2} { ! eqangle( X, Y, Z, T, U, W, V0,
% 18.85/19.22 V1 ), eqangle( Z, T, X, Y, V0, V1, U, W ) }.
% 18.85/19.22 substitution0:
% 18.85/19.22 X := X
% 18.85/19.22 Y := Y
% 18.85/19.22 Z := Z
% 18.85/19.22 T := T
% 18.85/19.22 U := U
% 18.85/19.22 W := W
% 18.85/19.22 V0 := V0
% 18.85/19.22 V1 := V1
% 18.85/19.22 end
% 18.85/19.22 permutation0:
% 18.85/19.22 0 ==> 0
% 18.85/19.22 1 ==> 1
% 18.85/19.22 end
% 18.85/19.22
% 18.85/19.22 subsumption: (19) {G0,W18,D2,L2,V8,M2} I { ! eqangle( X, Y, Z, T, U, W, V0
% 18.85/19.22 , V1 ), eqangle( U, W, V0, V1, X, Y, Z, T ) }.
% 18.85/19.22 parent0: (59503) {G0,W18,D2,L2,V8,M2} { ! eqangle( X, Y, Z, T, U, W, V0,
% 18.85/19.22 V1 ), eqangle( U, W, V0, V1, X, Y, Z, T ) }.
% 18.85/19.22 substitution0:
% 18.85/19.22 X := X
% 18.85/19.22 Y := Y
% 18.85/19.22 Z := Z
% 18.85/19.22 T := T
% 18.85/19.22 U := U
% 18.85/19.22 W := W
% 18.85/19.22 V0 := V0
% 18.85/19.22 V1 := V1
% 18.85/19.22 end
% 18.85/19.22 permutation0:
% 18.85/19.22 0 ==> 0
% 18.85/19.22 1 ==> 1
% 18.85/19.22 end
% 18.85/19.22
% 18.85/19.22 subsumption: (20) {G0,W18,D2,L2,V8,M2} I { ! eqangle( X, Y, Z, T, U, W, V0
% 18.85/19.22 , V1 ), eqangle( X, Y, U, W, Z, T, V0, V1 ) }.
% 18.85/19.22 parent0: (59504) {G0,W18,D2,L2,V8,M2} { ! eqangle( X, Y, Z, T, U, W, V0,
% 18.85/19.22 V1 ), eqangle( X, Y, U, W, Z, T, V0, V1 ) }.
% 18.85/19.22 substitution0:
% 18.85/19.22 X := X
% 18.85/19.22 Y := Y
% 18.85/19.22 Z := Z
% 18.85/19.22 T := T
% 18.85/19.22 U := U
% 18.85/19.22 W := W
% 18.85/19.22 V0 := V0
% 18.85/19.22 V1 := V1
% 18.85/19.22 end
% 18.85/19.22 permutation0:
% 18.85/19.22 0 ==> 0
% 18.85/19.22 1 ==> 1
% 18.85/19.22 end
% 18.85/19.22
% 18.85/19.22 subsumption: (21) {G0,W27,D2,L3,V12,M3} I { ! eqangle( X, Y, Z, T, V2, V3,
% 18.85/19.22 V4, V5 ), ! eqangle( V2, V3, V4, V5, U, W, V0, V1 ), eqangle( X, Y, Z, T
% 18.85/19.22 , U, W, V0, V1 ) }.
% 18.85/19.22 parent0: (59505) {G0,W27,D2,L3,V12,M3} { ! eqangle( X, Y, Z, T, V2, V3, V4
% 18.85/19.22 , V5 ), ! eqangle( V2, V3, V4, V5, U, W, V0, V1 ), eqangle( X, Y, Z, T, U
% 18.85/19.22 , W, V0, V1 ) }.
% 18.85/19.22 substitution0:
% 18.85/19.22 X := X
% 18.85/19.22 Y := Y
% 18.85/19.22 Z := Z
% 18.85/19.22 T := T
% 18.85/19.22 U := U
% 18.85/19.22 W := W
% 18.85/19.22 V0 := V0
% 18.85/19.22 V1 := V1
% 18.85/19.22 V2 := V2
% 18.85/19.22 V3 := V3
% 18.85/19.22 V4 := V4
% 18.85/19.22 V5 := V5
% 18.85/19.22 end
% 18.85/19.22 permutation0:
% 18.85/19.22 0 ==> 0
% 18.85/19.22 1 ==> 1
% 18.85/19.22 2 ==> 2
% 18.85/19.22 end
% 18.85/19.22
% 18.85/19.22 subsumption: (39) {G0,W14,D2,L2,V6,M2} I { ! para( X, Y, Z, T ), eqangle( X
% 18.85/19.22 , Y, U, W, Z, T, U, W ) }.
% 18.85/19.22 parent0: (59523) {G0,W14,D2,L2,V6,M2} { ! para( X, Y, Z, T ), eqangle( X,
% 18.85/19.22 Y, U, W, Z, T, U, W ) }.
% 18.85/19.22 substitution0:
% 18.85/19.22 X := X
% 18.85/19.22 Y := Y
% 18.85/19.22 Z := Z
% 18.85/19.22 T := T
% 18.85/19.22 U := U
% 18.85/19.22 W := W
% 18.85/19.22 end
% 18.85/19.22 permutation0:
% 18.85/19.22 0 ==> 0
% 18.85/19.22 1 ==> 1
% 18.85/19.22 end
% 18.85/19.22
% 18.85/19.22 subsumption: (40) {G0,W14,D2,L2,V4,M2} I { ! cyclic( X, Y, Z, T ), eqangle
% 18.85/19.22 ( Z, X, Z, Y, T, X, T, Y ) }.
% 18.85/19.22 parent0: (59524) {G0,W14,D2,L2,V4,M2} { ! cyclic( X, Y, Z, T ), eqangle( Z
% 18.85/19.22 , X, Z, Y, T, X, T, Y ) }.
% 18.85/19.22 substitution0:
% 18.85/19.22 X := X
% 18.85/19.22 Y := Y
% 18.85/19.22 Z := Z
% 18.85/19.22 T := T
% 18.85/19.22 end
% 18.85/19.22 permutation0:
% 18.85/19.22 0 ==> 0
% 18.85/19.22 1 ==> 1
% 18.85/19.22 end
% 18.85/19.22
% 18.85/19.22 subsumption: (42) {G0,W18,D2,L3,V4,M3} I { ! eqangle( Z, X, Z, Y, T, X, T,
% 18.85/19.22 Y ), ! coll( Z, T, Y ), cyclic( X, Y, Z, T ) }.
% 18.85/19.22 parent0: (59526) {G0,W18,D2,L3,V4,M3} { ! eqangle( Z, X, Z, Y, T, X, T, Y
% 18.85/19.22 ), ! coll( Z, T, Y ), cyclic( X, Y, Z, T ) }.
% 18.85/19.22 substitution0:
% 18.85/19.22 X := X
% 18.85/19.22 Y := Y
% 18.85/19.22 Z := Z
% 18.85/19.22 T := T
% 18.85/19.22 end
% 18.85/19.22 permutation0:
% 18.85/19.22 0 ==> 0
% 18.85/19.22 1 ==> 1
% 18.85/19.22 2 ==> 2
% 18.85/19.22 end
% 18.85/19.22
% 18.85/19.22 subsumption: (43) {G0,W29,D2,L5,V6,M5} I { ! cyclic( X, Y, U, Z ), ! cyclic
% 18.85/19.22 ( X, Y, U, T ), ! cyclic( X, Y, U, W ), ! eqangle( U, X, U, Y, W, Z, W, T
% 18.85/19.22 ), cong( X, Y, Z, T ) }.
% 18.85/19.22 parent0: (59527) {G0,W29,D2,L5,V6,M5} { ! cyclic( X, Y, U, Z ), ! cyclic(
% 18.85/19.22 X, Y, U, T ), ! cyclic( X, Y, U, W ), ! eqangle( U, X, U, Y, W, Z, W, T )
% 18.85/19.22 , cong( X, Y, Z, T ) }.
% 18.85/19.22 substitution0:
% 18.85/19.22 X := X
% 18.85/19.22 Y := Y
% 18.85/19.22 Z := Z
% 18.85/19.22 T := T
% 18.85/19.22 U := U
% 18.85/19.22 W := W
% 18.85/19.22 end
% 18.85/19.22 permutation0:
% 18.85/19.22 0 ==> 0
% 18.85/19.22 1 ==> 1
% 18.85/19.22 2 ==> 2
% 18.85/19.22 3 ==> 3
% 18.85/19.22 4 ==> 4
% 18.85/19.22 end
% 18.85/19.22
% 18.85/19.22 subsumption: (56) {G0,W15,D2,L3,V4,M3} I { ! cong( X, Z, Y, Z ), ! cong( X
% 18.85/19.22 , T, Y, T ), perp( X, Y, Z, T ) }.
% 18.85/19.22 parent0: (59540) {G0,W15,D2,L3,V4,M3} { ! cong( X, Z, Y, Z ), ! cong( X, T
% 18.85/19.22 , Y, T ), perp( X, Y, Z, T ) }.
% 18.85/19.22 substitution0:
% 18.85/19.22 X := X
% 18.85/19.22 Y := Y
% 18.85/19.22 Z := Z
% 18.85/19.22 T := T
% 18.85/19.22 end
% 18.85/19.22 permutation0:
% 18.85/19.22 0 ==> 0
% 18.85/19.22 1 ==> 1
% 18.85/19.22 2 ==> 2
% 18.85/19.22 end
% 18.85/19.22
% 18.85/19.22 subsumption: (66) {G0,W9,D2,L2,V3,M2} I { ! para( X, Y, X, Z ), coll( X, Y
% 18.85/19.22 , Z ) }.
% 18.85/19.22 parent0: (59550) {G0,W9,D2,L2,V3,M2} { ! para( X, Y, X, Z ), coll( X, Y, Z
% 18.85/19.22 ) }.
% 18.85/19.22 substitution0:
% 18.85/19.22 X := X
% 18.85/19.22 Y := Y
% 18.85/19.22 Z := Z
% 18.85/19.22 end
% 18.85/19.22 permutation0:
% 18.85/19.22 0 ==> 0
% 18.85/19.22 1 ==> 1
% 18.85/19.22 end
% 18.85/19.22
% 18.85/19.22 subsumption: (100) {G0,W12,D3,L2,V4,M2} I { ! circle( Y, X, Z, T ), perp(
% 18.85/19.22 skol12( X, Y ), X, X, Y ) }.
% 18.85/19.22 parent0: (59585) {G0,W12,D3,L2,V4,M2} { ! circle( Y, X, Z, T ), perp(
% 18.85/19.22 skol12( X, Y ), X, X, Y ) }.
% 18.85/19.22 substitution0:
% 18.85/19.22 X := X
% 18.85/19.22 Y := Y
% 18.85/19.22 Z := Z
% 18.85/19.22 T := T
% 18.85/19.22 end
% 18.85/19.22 permutation0:
% 18.85/19.22 0 ==> 0
% 18.85/19.22 1 ==> 1
% 18.85/19.22 end
% 18.85/19.22
% 18.85/19.22 subsumption: (116) {G0,W5,D2,L1,V0,M1} I { circle( skol27, skol20, skol26,
% 18.85/19.22 skol22 ) }.
% 18.85/19.22 parent0: (59601) {G0,W5,D2,L1,V0,M1} { circle( skol27, skol20, skol26,
% 18.85/19.22 skol22 ) }.
% 18.85/19.22 substitution0:
% 18.85/19.22 end
% 18.85/19.22 permutation0:
% 18.85/19.22 0 ==> 0
% 18.85/19.22 end
% 18.85/19.22
% 18.85/19.22 subsumption: (124) {G0,W9,D2,L1,V0,M1} I { ! eqangle( skol20, skol23,
% 18.85/19.22 skol23, skol24, skol25, skol23, skol23, skol22 ) }.
% 18.85/19.22 parent0: (59609) {G0,W9,D2,L1,V0,M1} { ! eqangle( skol20, skol23, skol23,
% 18.85/19.22 skol24, skol25, skol23, skol23, skol22 ) }.
% 18.85/19.22 substitution0:
% 18.85/19.22 end
% 18.85/19.22 permutation0:
% 18.85/19.22 0 ==> 0
% 18.85/19.22 end
% 18.85/19.22
% 18.85/19.22 resolution: (59945) {G1,W12,D2,L3,V4,M3} { coll( X, Z, Y ), ! coll( Z, T,
% 18.85/19.22 X ), ! coll( Z, T, Y ) }.
% 18.85/19.22 parent0[0]: (0) {G0,W8,D2,L2,V3,M2} I { ! coll( X, Y, Z ), coll( X, Z, Y )
% 18.85/19.22 }.
% 18.85/19.22 parent1[2]: (2) {G0,W12,D2,L3,V4,M3} I { ! coll( X, T, Y ), ! coll( X, T, Z
% 18.85/19.22 ), coll( Y, Z, X ) }.
% 18.85/19.22 substitution0:
% 18.85/19.22 X := X
% 18.85/19.22 Y := Y
% 18.85/19.22 Z := Z
% 18.85/19.22 end
% 18.85/19.22 substitution1:
% 18.85/19.22 X := Z
% 18.85/19.22 Y := X
% 18.85/19.22 Z := Y
% 18.85/19.22 T := T
% 18.85/19.22 end
% 18.85/19.22
% 18.85/19.22 subsumption: (191) {G1,W12,D2,L3,V4,M3} R(2,0) { ! coll( X, Y, Z ), ! coll
% 18.85/19.22 ( X, Y, T ), coll( Z, X, T ) }.
% 18.85/19.22 parent0: (59945) {G1,W12,D2,L3,V4,M3} { coll( X, Z, Y ), ! coll( Z, T, X )
% 18.85/19.22 , ! coll( Z, T, Y ) }.
% 18.85/19.22 substitution0:
% 18.85/19.22 X := Z
% 18.85/19.22 Y := T
% 18.85/19.22 Z := X
% 18.85/19.22 T := Y
% 18.85/19.22 end
% 18.85/19.22 permutation0:
% 18.85/19.22 0 ==> 2
% 18.85/19.22 1 ==> 0
% 18.85/19.22 2 ==> 1
% 18.85/19.22 end
% 18.85/19.22
% 18.85/19.22 factor: (59947) {G1,W8,D2,L2,V3,M2} { ! coll( X, Y, Z ), coll( Z, X, Z )
% 18.85/19.22 }.
% 18.85/19.22 parent0[0, 1]: (191) {G1,W12,D2,L3,V4,M3} R(2,0) { ! coll( X, Y, Z ), !
% 18.85/19.22 coll( X, Y, T ), coll( Z, X, T ) }.
% 18.85/19.22 substitution0:
% 18.85/19.22 X := X
% 18.85/19.22 Y := Y
% 18.85/19.22 Z := Z
% 18.85/19.22 T := Z
% 18.85/19.22 end
% 18.85/19.22
% 18.85/19.22 subsumption: (196) {G2,W8,D2,L2,V3,M2} F(191) { ! coll( X, Y, Z ), coll( Z
% 18.85/19.22 , X, Z ) }.
% 18.85/19.22 parent0: (59947) {G1,W8,D2,L2,V3,M2} { ! coll( X, Y, Z ), coll( Z, X, Z )
% 18.85/19.22 }.
% 18.85/19.22 substitution0:
% 18.85/19.22 X := X
% 18.85/19.22 Y := Y
% 18.85/19.22 Z := Z
% 18.85/19.22 end
% 18.85/19.22 permutation0:
% 18.85/19.22 0 ==> 0
% 18.85/19.22 1 ==> 1
% 18.85/19.22 end
% 18.85/19.22
% 18.85/19.22 resolution: (59948) {G1,W12,D2,L3,V4,M3} { coll( Z, X, Z ), ! coll( Z, T,
% 18.85/19.22 X ), ! coll( Z, T, Y ) }.
% 18.85/19.22 parent0[0]: (196) {G2,W8,D2,L2,V3,M2} F(191) { ! coll( X, Y, Z ), coll( Z,
% 18.85/19.22 X, Z ) }.
% 18.85/19.22 parent1[2]: (2) {G0,W12,D2,L3,V4,M3} I { ! coll( X, T, Y ), ! coll( X, T, Z
% 18.85/19.22 ), coll( Y, Z, X ) }.
% 18.85/19.22 substitution0:
% 18.85/19.22 X := X
% 18.85/19.22 Y := Y
% 18.85/19.22 Z := Z
% 18.85/19.22 end
% 18.85/19.22 substitution1:
% 18.85/19.22 X := Z
% 18.85/19.22 Y := X
% 18.85/19.22 Z := Y
% 18.85/19.22 T := T
% 18.85/19.22 end
% 18.85/19.22
% 18.85/19.22 subsumption: (213) {G3,W12,D2,L3,V4,M3} R(196,2) { coll( X, Y, X ), ! coll
% 18.85/19.22 ( X, Z, Y ), ! coll( X, Z, T ) }.
% 18.85/19.22 parent0: (59948) {G1,W12,D2,L3,V4,M3} { coll( Z, X, Z ), ! coll( Z, T, X )
% 18.85/19.22 , ! coll( Z, T, Y ) }.
% 18.85/19.22 substitution0:
% 18.85/19.22 X := Y
% 18.85/19.22 Y := Y
% 18.85/19.22 Z := X
% 18.85/19.22 T := Z
% 18.85/19.22 end
% 18.85/19.22 permutation0:
% 18.85/19.22 0 ==> 0
% 18.85/19.22 1 ==> 1
% 18.85/19.22 2 ==> 1
% 18.85/19.22 end
% 18.85/19.22
% 18.85/19.22 factor: (59950) {G3,W8,D2,L2,V3,M2} { coll( X, Y, X ), ! coll( X, Z, Y )
% 18.85/19.22 }.
% 18.85/19.22 parent0[1, 2]: (213) {G3,W12,D2,L3,V4,M3} R(196,2) { coll( X, Y, X ), !
% 18.85/19.22 coll( X, Z, Y ), ! coll( X, Z, T ) }.
% 18.85/19.22 substitution0:
% 18.85/19.22 X := X
% 18.85/19.22 Y := Y
% 18.85/19.22 Z := Z
% 18.85/19.22 T := Y
% 18.85/19.22 end
% 18.85/19.22
% 18.85/19.22 subsumption: (226) {G4,W8,D2,L2,V3,M2} F(213) { coll( X, Y, X ), ! coll( X
% 18.85/19.22 , Z, Y ) }.
% 18.85/19.22 parent0: (59950) {G3,W8,D2,L2,V3,M2} { coll( X, Y, X ), ! coll( X, Z, Y )
% 18.85/19.22 }.
% 18.85/19.22 substitution0:
% 18.85/19.22 X := X
% 18.85/19.22 Y := Y
% 18.85/19.22 Z := Z
% 18.85/19.22 end
% 18.85/19.22 permutation0:
% 18.85/19.22 0 ==> 0
% 18.85/19.22 1 ==> 1
% 18.85/19.22 end
% 18.85/19.22
% 18.85/19.22 resolution: (59951) {G1,W15,D2,L3,V6,M3} { ! perp( Z, T, U, W ), para( X,
% 18.85/19.22 Y, U, W ), ! perp( Z, T, X, Y ) }.
% 18.85/19.22 parent0[0]: (8) {G0,W15,D2,L3,V6,M3} I { ! perp( X, Y, U, W ), ! perp( U, W
% 18.85/19.22 , Z, T ), para( X, Y, Z, T ) }.
% 18.85/19.22 parent1[1]: (7) {G0,W10,D2,L2,V4,M2} I { ! perp( X, Y, Z, T ), perp( Z, T,
% 18.85/19.22 X, Y ) }.
% 18.85/19.22 substitution0:
% 18.85/19.22 X := X
% 18.85/19.22 Y := Y
% 18.85/19.22 Z := U
% 18.85/19.22 T := W
% 18.85/19.22 U := Z
% 18.85/19.22 W := T
% 18.85/19.22 end
% 18.85/19.22 substitution1:
% 18.85/19.22 X := Z
% 18.85/19.22 Y := T
% 18.85/19.22 Z := X
% 18.85/19.22 T := Y
% 18.85/19.22 end
% 18.85/19.22
% 18.85/19.22 subsumption: (279) {G1,W15,D2,L3,V6,M3} R(8,7) { ! perp( X, Y, Z, T ), para
% 18.85/19.22 ( U, W, Z, T ), ! perp( X, Y, U, W ) }.
% 18.85/19.22 parent0: (59951) {G1,W15,D2,L3,V6,M3} { ! perp( Z, T, U, W ), para( X, Y,
% 18.85/19.22 U, W ), ! perp( Z, T, X, Y ) }.
% 18.85/19.22 substitution0:
% 18.85/19.22 X := U
% 18.85/19.22 Y := W
% 18.85/19.22 Z := X
% 18.85/19.22 T := Y
% 18.85/19.22 U := Z
% 18.85/19.22 W := T
% 18.85/19.22 end
% 18.85/19.22 permutation0:
% 18.85/19.22 0 ==> 0
% 18.85/19.22 1 ==> 1
% 18.85/19.22 2 ==> 2
% 18.85/19.22 end
% 18.85/19.22
% 18.85/19.22 factor: (59955) {G1,W10,D2,L2,V4,M2} { ! perp( X, Y, Z, T ), para( Z, T, Z
% 18.85/19.22 , T ) }.
% 18.85/19.22 parent0[0, 2]: (279) {G1,W15,D2,L3,V6,M3} R(8,7) { ! perp( X, Y, Z, T ),
% 18.85/19.22 para( U, W, Z, T ), ! perp( X, Y, U, W ) }.
% 18.85/19.22 substitution0:
% 18.85/19.22 X := X
% 18.85/19.22 Y := Y
% 18.85/19.22 Z := Z
% 18.85/19.22 T := T
% 18.85/19.22 U := Z
% 18.85/19.22 W := T
% 18.85/19.22 end
% 18.85/19.22
% 18.85/19.22 subsumption: (297) {G2,W10,D2,L2,V4,M2} F(279) { ! perp( X, Y, Z, T ), para
% 18.85/19.22 ( Z, T, Z, T ) }.
% 18.85/19.22 parent0: (59955) {G1,W10,D2,L2,V4,M2} { ! perp( X, Y, Z, T ), para( Z, T,
% 18.85/19.22 Z, T ) }.
% 18.85/19.22 substitution0:
% 18.85/19.22 X := X
% 18.85/19.22 Y := Y
% 18.85/19.22 Z := Z
% 18.85/19.22 T := T
% 18.85/19.22 end
% 18.85/19.22 permutation0:
% 18.85/19.22 0 ==> 0
% 18.85/19.22 1 ==> 1
% 18.85/19.22 end
% 18.85/19.22
% 18.85/19.22 resolution: (59957) {G1,W10,D2,L2,V4,M2} { cyclic( X, Y, T, Z ), ! cyclic
% 18.85/19.22 ( X, Z, Y, T ) }.
% 18.85/19.22 parent0[0]: (13) {G0,W10,D2,L2,V4,M2} I { ! cyclic( X, Y, Z, T ), cyclic( X
% 18.85/19.22 , Y, T, Z ) }.
% 18.85/19.22 parent1[1]: (14) {G0,W10,D2,L2,V4,M2} I { ! cyclic( X, Y, Z, T ), cyclic( X
% 18.85/19.22 , Z, Y, T ) }.
% 18.85/19.22 substitution0:
% 18.85/19.22 X := X
% 18.85/19.22 Y := Y
% 18.85/19.22 Z := Z
% 18.85/19.22 T := T
% 18.85/19.22 end
% 18.85/19.22 substitution1:
% 18.85/19.22 X := X
% 18.85/19.22 Y := Z
% 18.85/19.22 Z := Y
% 18.85/19.22 T := T
% 18.85/19.22 end
% 18.85/19.22
% 18.85/19.22 subsumption: (360) {G1,W10,D2,L2,V4,M2} R(14,13) { ! cyclic( X, Y, Z, T ),
% 18.85/19.22 cyclic( X, Z, T, Y ) }.
% 18.85/19.22 parent0: (59957) {G1,W10,D2,L2,V4,M2} { cyclic( X, Y, T, Z ), ! cyclic( X
% 18.85/19.22 , Z, Y, T ) }.
% 18.85/19.22 substitution0:
% 18.85/19.22 X := X
% 18.85/19.22 Y := Z
% 18.85/19.22 Z := Y
% 18.85/19.22 T := T
% 18.85/19.22 end
% 18.85/19.22 permutation0:
% 18.85/19.22 0 ==> 1
% 18.85/19.22 1 ==> 0
% 18.85/19.22 end
% 18.85/19.22
% 18.85/19.22 resolution: (59958) {G1,W10,D2,L2,V4,M2} { cyclic( Y, X, Z, T ), ! cyclic
% 18.85/19.22 ( X, Z, Y, T ) }.
% 18.85/19.22 parent0[0]: (15) {G0,W10,D2,L2,V4,M2} I { ! cyclic( X, Y, Z, T ), cyclic( Y
% 18.85/19.22 , X, Z, T ) }.
% 18.85/19.22 parent1[1]: (14) {G0,W10,D2,L2,V4,M2} I { ! cyclic( X, Y, Z, T ), cyclic( X
% 18.85/19.22 , Z, Y, T ) }.
% 18.85/19.22 substitution0:
% 18.85/19.22 X := X
% 18.85/19.22 Y := Y
% 18.85/19.22 Z := Z
% 18.85/19.22 T := T
% 18.85/19.22 end
% 18.85/19.22 substitution1:
% 18.85/19.22 X := X
% 18.85/19.22 Y := Z
% 18.85/19.22 Z := Y
% 18.85/19.22 T := T
% 18.85/19.22 end
% 18.85/19.22
% 18.85/19.22 subsumption: (377) {G1,W10,D2,L2,V4,M2} R(15,14) { cyclic( X, Y, Z, T ), !
% 18.85/19.22 cyclic( Y, Z, X, T ) }.
% 18.85/19.22 parent0: (59958) {G1,W10,D2,L2,V4,M2} { cyclic( Y, X, Z, T ), ! cyclic( X
% 18.85/19.22 , Z, Y, T ) }.
% 18.85/19.22 substitution0:
% 18.85/19.22 X := Y
% 18.85/19.22 Y := X
% 18.85/19.22 Z := Z
% 18.85/19.22 T := T
% 18.85/19.22 end
% 18.85/19.22 permutation0:
% 18.85/19.22 0 ==> 0
% 18.85/19.22 1 ==> 1
% 18.85/19.22 end
% 18.85/19.22
% 18.85/19.22 resolution: (59959) {G1,W10,D2,L2,V4,M2} { cyclic( Y, X, Z, T ), ! cyclic
% 18.85/19.22 ( X, Y, T, Z ) }.
% 18.85/19.22 parent0[0]: (15) {G0,W10,D2,L2,V4,M2} I { ! cyclic( X, Y, Z, T ), cyclic( Y
% 18.85/19.22 , X, Z, T ) }.
% 18.85/19.22 parent1[1]: (13) {G0,W10,D2,L2,V4,M2} I { ! cyclic( X, Y, Z, T ), cyclic( X
% 18.85/19.22 , Y, T, Z ) }.
% 18.85/19.22 substitution0:
% 18.85/19.22 X := X
% 18.85/19.22 Y := Y
% 18.85/19.22 Z := Z
% 18.85/19.22 T := T
% 18.85/19.22 end
% 18.85/19.22 substitution1:
% 18.85/19.22 X := X
% 18.85/19.22 Y := Y
% 18.85/19.22 Z := T
% 18.85/19.22 T := Z
% 18.85/19.22 end
% 18.85/19.22
% 18.85/19.22 subsumption: (379) {G1,W10,D2,L2,V4,M2} R(15,13) { cyclic( X, Y, Z, T ), !
% 18.85/19.22 cyclic( Y, X, T, Z ) }.
% 18.85/19.22 parent0: (59959) {G1,W10,D2,L2,V4,M2} { cyclic( Y, X, Z, T ), ! cyclic( X
% 18.85/19.22 , Y, T, Z ) }.
% 18.85/19.22 substitution0:
% 18.85/19.22 X := Y
% 18.85/19.22 Y := X
% 18.85/19.22 Z := Z
% 18.85/19.22 T := T
% 18.85/19.22 end
% 18.85/19.22 permutation0:
% 18.85/19.22 0 ==> 0
% 18.85/19.22 1 ==> 1
% 18.85/19.22 end
% 18.85/19.22
% 18.85/19.22 resolution: (59963) {G1,W15,D2,L3,V5,M3} { cyclic( Y, X, Z, T ), ! cyclic
% 18.85/19.22 ( U, X, Y, Z ), ! cyclic( U, X, Y, T ) }.
% 18.85/19.22 parent0[0]: (15) {G0,W10,D2,L2,V4,M2} I { ! cyclic( X, Y, Z, T ), cyclic( Y
% 18.85/19.22 , X, Z, T ) }.
% 18.85/19.22 parent1[2]: (16) {G0,W15,D2,L3,V5,M3} I { ! cyclic( U, X, Y, Z ), ! cyclic
% 18.85/19.23 ( U, X, Y, T ), cyclic( X, Y, Z, T ) }.
% 18.85/19.23 substitution0:
% 18.85/19.23 X := X
% 18.85/19.23 Y := Y
% 18.85/19.23 Z := Z
% 18.85/19.23 T := T
% 18.85/19.23 end
% 18.85/19.23 substitution1:
% 18.85/19.23 X := X
% 18.85/19.23 Y := Y
% 18.85/19.23 Z := Z
% 18.85/19.23 T := T
% 18.85/19.23 U := U
% 18.85/19.23 end
% 18.85/19.23
% 18.85/19.23 subsumption: (404) {G1,W15,D2,L3,V5,M3} R(16,15) { ! cyclic( X, Y, Z, T ),
% 18.85/19.23 ! cyclic( X, Y, Z, U ), cyclic( Z, Y, T, U ) }.
% 18.85/19.23 parent0: (59963) {G1,W15,D2,L3,V5,M3} { cyclic( Y, X, Z, T ), ! cyclic( U
% 18.85/19.23 , X, Y, Z ), ! cyclic( U, X, Y, T ) }.
% 18.85/19.23 substitution0:
% 18.85/19.23 X := Y
% 18.85/19.23 Y := Z
% 18.85/19.23 Z := T
% 18.85/19.23 T := U
% 18.85/19.23 U := X
% 18.85/19.23 end
% 18.85/19.23 permutation0:
% 18.85/19.23 0 ==> 2
% 18.85/19.23 1 ==> 0
% 18.85/19.23 2 ==> 1
% 18.85/19.23 end
% 18.85/19.23
% 18.85/19.23 resolution: (59966) {G1,W15,D2,L3,V5,M3} { ! cyclic( X, Y, Z, T ), cyclic
% 18.85/19.23 ( Y, Z, T, U ), ! cyclic( X, Y, U, Z ) }.
% 18.85/19.23 parent0[1]: (16) {G0,W15,D2,L3,V5,M3} I { ! cyclic( U, X, Y, Z ), ! cyclic
% 18.85/19.23 ( U, X, Y, T ), cyclic( X, Y, Z, T ) }.
% 18.85/19.23 parent1[1]: (13) {G0,W10,D2,L2,V4,M2} I { ! cyclic( X, Y, Z, T ), cyclic( X
% 18.85/19.23 , Y, T, Z ) }.
% 18.85/19.23 substitution0:
% 18.85/19.23 X := Y
% 18.85/19.23 Y := Z
% 18.85/19.23 Z := T
% 18.85/19.23 T := U
% 18.85/19.23 U := X
% 18.85/19.23 end
% 18.85/19.23 substitution1:
% 18.85/19.23 X := X
% 18.85/19.23 Y := Y
% 18.85/19.23 Z := U
% 18.85/19.23 T := Z
% 18.85/19.23 end
% 18.85/19.23
% 18.85/19.23 subsumption: (409) {G1,W15,D2,L3,V5,M3} R(16,13) { ! cyclic( X, Y, Z, T ),
% 18.85/19.23 cyclic( Y, Z, T, U ), ! cyclic( X, Y, U, Z ) }.
% 18.85/19.23 parent0: (59966) {G1,W15,D2,L3,V5,M3} { ! cyclic( X, Y, Z, T ), cyclic( Y
% 18.85/19.23 , Z, T, U ), ! cyclic( X, Y, U, Z ) }.
% 18.85/19.23 substitution0:
% 18.85/19.23 X := X
% 18.85/19.23 Y := Y
% 18.85/19.23 Z := Z
% 18.85/19.23 T := T
% 18.85/19.23 U := U
% 18.85/19.23 end
% 18.85/19.23 permutation0:
% 18.85/19.23 0 ==> 0
% 18.85/19.23 1 ==> 1
% 18.85/19.23 2 ==> 2
% 18.85/19.23 end
% 18.85/19.23
% 18.85/19.23 factor: (59968) {G1,W10,D2,L2,V4,M2} { ! cyclic( X, Y, Z, T ), cyclic( Z,
% 18.85/19.23 Y, T, T ) }.
% 18.85/19.23 parent0[0, 1]: (404) {G1,W15,D2,L3,V5,M3} R(16,15) { ! cyclic( X, Y, Z, T )
% 18.85/19.23 , ! cyclic( X, Y, Z, U ), cyclic( Z, Y, T, U ) }.
% 18.85/19.23 substitution0:
% 18.85/19.23 X := X
% 18.85/19.23 Y := Y
% 18.85/19.23 Z := Z
% 18.85/19.23 T := T
% 18.85/19.23 U := T
% 18.85/19.23 end
% 18.85/19.23
% 18.85/19.23 subsumption: (413) {G2,W10,D2,L2,V4,M2} F(404) { ! cyclic( X, Y, Z, T ),
% 18.85/19.23 cyclic( Z, Y, T, T ) }.
% 18.85/19.23 parent0: (59968) {G1,W10,D2,L2,V4,M2} { ! cyclic( X, Y, Z, T ), cyclic( Z
% 18.85/19.23 , Y, T, T ) }.
% 18.85/19.23 substitution0:
% 18.85/19.23 X := X
% 18.85/19.23 Y := Y
% 18.85/19.23 Z := Z
% 18.85/19.23 T := T
% 18.85/19.23 end
% 18.85/19.23 permutation0:
% 18.85/19.23 0 ==> 0
% 18.85/19.23 1 ==> 1
% 18.85/19.23 end
% 18.85/19.23
% 18.85/19.23 resolution: (59970) {G1,W18,D2,L2,V8,M2} { eqangle( U, W, V0, V1, X, Y, Z
% 18.85/19.23 , T ), ! eqangle( X, Y, U, W, Z, T, V0, V1 ) }.
% 18.85/19.23 parent0[0]: (19) {G0,W18,D2,L2,V8,M2} I { ! eqangle( X, Y, Z, T, U, W, V0,
% 18.85/19.23 V1 ), eqangle( U, W, V0, V1, X, Y, Z, T ) }.
% 18.85/19.23 parent1[1]: (20) {G0,W18,D2,L2,V8,M2} I { ! eqangle( X, Y, Z, T, U, W, V0,
% 18.85/19.23 V1 ), eqangle( X, Y, U, W, Z, T, V0, V1 ) }.
% 18.85/19.23 substitution0:
% 18.85/19.23 X := X
% 18.85/19.23 Y := Y
% 18.85/19.23 Z := Z
% 18.85/19.23 T := T
% 18.85/19.23 U := U
% 18.85/19.23 W := W
% 18.85/19.23 V0 := V0
% 18.85/19.23 V1 := V1
% 18.85/19.23 end
% 18.85/19.23 substitution1:
% 18.85/19.23 X := X
% 18.85/19.23 Y := Y
% 18.85/19.23 Z := U
% 18.85/19.23 T := W
% 18.85/19.23 U := Z
% 18.85/19.23 W := T
% 18.85/19.23 V0 := V0
% 18.85/19.23 V1 := V1
% 18.85/19.23 end
% 18.85/19.23
% 18.85/19.23 subsumption: (482) {G1,W18,D2,L2,V8,M2} R(20,19) { ! eqangle( X, Y, Z, T, U
% 18.85/19.23 , W, V0, V1 ), eqangle( Z, T, V0, V1, X, Y, U, W ) }.
% 18.85/19.23 parent0: (59970) {G1,W18,D2,L2,V8,M2} { eqangle( U, W, V0, V1, X, Y, Z, T
% 18.85/19.23 ), ! eqangle( X, Y, U, W, Z, T, V0, V1 ) }.
% 18.85/19.23 substitution0:
% 18.85/19.23 X := X
% 18.85/19.23 Y := Y
% 18.85/19.23 Z := U
% 18.85/19.23 T := W
% 18.85/19.23 U := Z
% 18.85/19.23 W := T
% 18.85/19.23 V0 := V0
% 18.85/19.23 V1 := V1
% 18.85/19.23 end
% 18.85/19.23 permutation0:
% 18.85/19.23 0 ==> 1
% 18.85/19.23 1 ==> 0
% 18.85/19.23 end
% 18.85/19.23
% 18.85/19.23 resolution: (59971) {G1,W27,D2,L3,V12,M3} { ! eqangle( U, W, V0, V1, V2,
% 18.85/19.23 V3, V4, V5 ), eqangle( X, Y, Z, T, V2, V3, V4, V5 ), ! eqangle( Y, X, Z,
% 18.85/19.23 T, U, W, V0, V1 ) }.
% 18.85/19.23 parent0[0]: (21) {G0,W27,D2,L3,V12,M3} I { ! eqangle( X, Y, Z, T, V2, V3,
% 18.85/19.23 V4, V5 ), ! eqangle( V2, V3, V4, V5, U, W, V0, V1 ), eqangle( X, Y, Z, T
% 18.85/19.23 , U, W, V0, V1 ) }.
% 18.85/19.23 parent1[1]: (17) {G0,W18,D2,L2,V8,M2} I { ! eqangle( X, Y, Z, T, U, W, V0,
% 18.85/19.23 V1 ), eqangle( Y, X, Z, T, U, W, V0, V1 ) }.
% 18.85/19.23 substitution0:
% 18.85/19.23 X := X
% 18.85/19.23 Y := Y
% 18.85/19.23 Z := Z
% 18.85/19.23 T := T
% 18.85/19.23 U := V2
% 18.85/19.23 W := V3
% 18.85/19.23 V0 := V4
% 18.85/19.23 V1 := V5
% 18.85/19.23 V2 := U
% 18.85/19.23 V3 := W
% 18.85/19.23 V4 := V0
% 18.85/19.23 V5 := V1
% 18.85/19.23 end
% 18.85/19.23 substitution1:
% 18.85/19.23 X := Y
% 18.85/19.23 Y := X
% 18.85/19.23 Z := Z
% 18.85/19.23 T := T
% 18.85/19.23 U := U
% 18.85/19.23 W := W
% 18.85/19.23 V0 := V0
% 18.85/19.23 V1 := V1
% 18.85/19.23 end
% 18.85/19.23
% 18.85/19.23 subsumption: (506) {G1,W27,D2,L3,V12,M3} R(21,17) { ! eqangle( X, Y, Z, T,
% 18.85/19.23 U, W, V0, V1 ), eqangle( V2, V3, V4, V5, U, W, V0, V1 ), ! eqangle( V3,
% 18.85/19.23 V2, V4, V5, X, Y, Z, T ) }.
% 18.85/19.23 parent0: (59971) {G1,W27,D2,L3,V12,M3} { ! eqangle( U, W, V0, V1, V2, V3,
% 18.85/19.23 V4, V5 ), eqangle( X, Y, Z, T, V2, V3, V4, V5 ), ! eqangle( Y, X, Z, T, U
% 18.85/19.23 , W, V0, V1 ) }.
% 18.85/19.23 substitution0:
% 18.85/19.23 X := V2
% 18.85/19.23 Y := V3
% 18.85/19.23 Z := V4
% 18.85/19.23 T := V5
% 18.85/19.23 U := X
% 18.85/19.23 W := Y
% 18.85/19.23 V0 := Z
% 18.85/19.23 V1 := T
% 18.85/19.23 V2 := U
% 18.85/19.23 V3 := W
% 18.85/19.23 V4 := V0
% 18.85/19.23 V5 := V1
% 18.85/19.23 end
% 18.85/19.23 permutation0:
% 18.85/19.23 0 ==> 0
% 18.85/19.23 1 ==> 1
% 18.85/19.23 2 ==> 2
% 18.85/19.23 end
% 18.85/19.23
% 18.85/19.23 resolution: (59976) {G1,W8,D2,L2,V3,M2} { coll( X, X, Y ), ! coll( X, Z, Y
% 18.85/19.23 ) }.
% 18.85/19.23 parent0[0]: (0) {G0,W8,D2,L2,V3,M2} I { ! coll( X, Y, Z ), coll( X, Z, Y )
% 18.85/19.23 }.
% 18.85/19.23 parent1[0]: (226) {G4,W8,D2,L2,V3,M2} F(213) { coll( X, Y, X ), ! coll( X,
% 18.85/19.23 Z, Y ) }.
% 18.85/19.23 substitution0:
% 18.85/19.23 X := X
% 18.85/19.23 Y := Y
% 18.85/19.23 Z := X
% 18.85/19.23 end
% 18.85/19.23 substitution1:
% 18.85/19.23 X := X
% 18.85/19.23 Y := Y
% 18.85/19.23 Z := Z
% 18.85/19.23 end
% 18.85/19.23
% 18.85/19.23 subsumption: (511) {G5,W8,D2,L2,V3,M2} R(226,0) { ! coll( X, Y, Z ), coll(
% 18.85/19.23 X, X, Z ) }.
% 18.85/19.23 parent0: (59976) {G1,W8,D2,L2,V3,M2} { coll( X, X, Y ), ! coll( X, Z, Y )
% 18.85/19.23 }.
% 18.85/19.23 substitution0:
% 18.85/19.23 X := X
% 18.85/19.23 Y := Z
% 18.85/19.23 Z := Y
% 18.85/19.23 end
% 18.85/19.23 permutation0:
% 18.85/19.23 0 ==> 1
% 18.85/19.23 1 ==> 0
% 18.85/19.23 end
% 18.85/19.23
% 18.85/19.23 resolution: (59977) {G1,W14,D2,L2,V6,M2} { eqangle( X, Y, U, W, Z, T, Z, T
% 18.85/19.23 ), ! para( X, Y, U, W ) }.
% 18.85/19.23 parent0[0]: (20) {G0,W18,D2,L2,V8,M2} I { ! eqangle( X, Y, Z, T, U, W, V0,
% 18.85/19.23 V1 ), eqangle( X, Y, U, W, Z, T, V0, V1 ) }.
% 18.85/19.23 parent1[1]: (39) {G0,W14,D2,L2,V6,M2} I { ! para( X, Y, Z, T ), eqangle( X
% 18.85/19.23 , Y, U, W, Z, T, U, W ) }.
% 18.85/19.23 substitution0:
% 18.85/19.23 X := X
% 18.85/19.23 Y := Y
% 18.85/19.23 Z := Z
% 18.85/19.23 T := T
% 18.85/19.23 U := U
% 18.85/19.23 W := W
% 18.85/19.23 V0 := Z
% 18.85/19.23 V1 := T
% 18.85/19.23 end
% 18.85/19.23 substitution1:
% 18.85/19.23 X := X
% 18.85/19.23 Y := Y
% 18.85/19.23 Z := U
% 18.85/19.23 T := W
% 18.85/19.23 U := Z
% 18.85/19.23 W := T
% 18.85/19.23 end
% 18.85/19.23
% 18.85/19.23 subsumption: (812) {G1,W14,D2,L2,V6,M2} R(39,20) { ! para( X, Y, Z, T ),
% 18.85/19.23 eqangle( X, Y, Z, T, U, W, U, W ) }.
% 18.85/19.23 parent0: (59977) {G1,W14,D2,L2,V6,M2} { eqangle( X, Y, U, W, Z, T, Z, T )
% 18.85/19.23 , ! para( X, Y, U, W ) }.
% 18.85/19.23 substitution0:
% 18.85/19.23 X := X
% 18.85/19.23 Y := Y
% 18.85/19.23 Z := U
% 18.85/19.23 T := W
% 18.85/19.23 U := Z
% 18.85/19.23 W := T
% 18.85/19.23 end
% 18.85/19.23 permutation0:
% 18.85/19.23 0 ==> 1
% 18.85/19.23 1 ==> 0
% 18.85/19.23 end
% 18.85/19.23
% 18.85/19.23 resolution: (59978) {G1,W14,D2,L2,V6,M2} { eqangle( Z, T, X, Y, Z, T, U, W
% 18.85/19.23 ), ! para( X, Y, U, W ) }.
% 18.85/19.23 parent0[0]: (18) {G0,W18,D2,L2,V8,M2} I { ! eqangle( X, Y, Z, T, U, W, V0,
% 18.85/19.23 V1 ), eqangle( Z, T, X, Y, V0, V1, U, W ) }.
% 18.85/19.23 parent1[1]: (39) {G0,W14,D2,L2,V6,M2} I { ! para( X, Y, Z, T ), eqangle( X
% 18.85/19.23 , Y, U, W, Z, T, U, W ) }.
% 18.85/19.23 substitution0:
% 18.85/19.23 X := X
% 18.85/19.23 Y := Y
% 18.85/19.23 Z := Z
% 18.85/19.23 T := T
% 18.85/19.23 U := U
% 18.85/19.23 W := W
% 18.85/19.23 V0 := Z
% 18.85/19.23 V1 := T
% 18.85/19.23 end
% 18.85/19.23 substitution1:
% 18.85/19.23 X := X
% 18.85/19.23 Y := Y
% 18.85/19.23 Z := U
% 18.85/19.23 T := W
% 18.85/19.23 U := Z
% 18.85/19.23 W := T
% 18.85/19.23 end
% 18.85/19.23
% 18.85/19.23 subsumption: (814) {G1,W14,D2,L2,V6,M2} R(39,18) { ! para( X, Y, Z, T ),
% 18.85/19.23 eqangle( U, W, X, Y, U, W, Z, T ) }.
% 18.85/19.23 parent0: (59978) {G1,W14,D2,L2,V6,M2} { eqangle( Z, T, X, Y, Z, T, U, W )
% 18.85/19.23 , ! para( X, Y, U, W ) }.
% 18.85/19.23 substitution0:
% 18.85/19.23 X := X
% 18.85/19.23 Y := Y
% 18.85/19.23 Z := U
% 18.85/19.23 T := W
% 18.85/19.23 U := Z
% 18.85/19.23 W := T
% 18.85/19.23 end
% 18.85/19.23 permutation0:
% 18.85/19.23 0 ==> 1
% 18.85/19.23 1 ==> 0
% 18.85/19.23 end
% 18.85/19.23
% 18.85/19.23 resolution: (59979) {G1,W14,D2,L2,V6,M2} { eqangle( X, Y, U, W, Z, T, U, W
% 18.85/19.23 ), ! para( X, Y, T, Z ) }.
% 18.85/19.23 parent0[0]: (39) {G0,W14,D2,L2,V6,M2} I { ! para( X, Y, Z, T ), eqangle( X
% 18.85/19.23 , Y, U, W, Z, T, U, W ) }.
% 18.85/19.23 parent1[1]: (3) {G0,W10,D2,L2,V4,M2} I { ! para( X, Y, Z, T ), para( X, Y,
% 18.85/19.23 T, Z ) }.
% 18.85/19.23 substitution0:
% 18.85/19.23 X := X
% 18.85/19.23 Y := Y
% 18.85/19.23 Z := Z
% 18.85/19.23 T := T
% 18.85/19.23 U := U
% 18.85/19.23 W := W
% 18.85/19.23 end
% 18.85/19.23 substitution1:
% 18.85/19.23 X := X
% 18.85/19.23 Y := Y
% 18.85/19.23 Z := T
% 18.85/19.23 T := Z
% 18.85/19.23 end
% 18.85/19.23
% 18.85/19.23 subsumption: (818) {G1,W14,D2,L2,V6,M2} R(39,3) { eqangle( X, Y, Z, T, U, W
% 18.85/19.23 , Z, T ), ! para( X, Y, W, U ) }.
% 18.85/19.23 parent0: (59979) {G1,W14,D2,L2,V6,M2} { eqangle( X, Y, U, W, Z, T, U, W )
% 18.85/19.23 , ! para( X, Y, T, Z ) }.
% 18.85/19.23 substitution0:
% 18.85/19.23 X := X
% 18.85/19.23 Y := Y
% 18.85/19.23 Z := U
% 18.85/19.23 T := W
% 18.85/19.23 U := Z
% 18.85/19.23 W := T
% 18.85/19.23 end
% 18.85/19.23 permutation0:
% 18.85/19.23 0 ==> 0
% 18.85/19.23 1 ==> 1
% 18.85/19.23 end
% 18.85/19.23
% 18.85/19.23 resolution: (59980) {G1,W18,D2,L3,V4,M3} { ! coll( X, T, Z ), cyclic( Y, Z
% 18.85/19.23 , X, T ), ! eqangle( T, Y, T, Z, X, Y, X, Z ) }.
% 18.85/19.23 parent0[0]: (42) {G0,W18,D2,L3,V4,M3} I { ! eqangle( Z, X, Z, Y, T, X, T, Y
% 18.85/19.23 ), ! coll( Z, T, Y ), cyclic( X, Y, Z, T ) }.
% 18.85/19.23 parent1[1]: (19) {G0,W18,D2,L2,V8,M2} I { ! eqangle( X, Y, Z, T, U, W, V0,
% 18.85/19.23 V1 ), eqangle( U, W, V0, V1, X, Y, Z, T ) }.
% 18.85/19.23 substitution0:
% 18.85/19.23 X := Y
% 18.85/19.23 Y := Z
% 18.85/19.23 Z := X
% 18.85/19.23 T := T
% 18.85/19.23 end
% 18.85/19.23 substitution1:
% 18.85/19.23 X := T
% 18.85/19.23 Y := Y
% 18.85/19.23 Z := T
% 18.85/19.23 T := Z
% 18.85/19.23 U := X
% 18.85/19.23 W := Y
% 18.85/19.23 V0 := X
% 18.85/19.23 V1 := Z
% 18.85/19.23 end
% 18.85/19.23
% 18.85/19.23 subsumption: (867) {G1,W18,D2,L3,V4,M3} R(42,19) { ! coll( X, Y, Z ),
% 18.85/19.23 cyclic( T, Z, X, Y ), ! eqangle( Y, T, Y, Z, X, T, X, Z ) }.
% 18.85/19.23 parent0: (59980) {G1,W18,D2,L3,V4,M3} { ! coll( X, T, Z ), cyclic( Y, Z, X
% 18.85/19.23 , T ), ! eqangle( T, Y, T, Z, X, Y, X, Z ) }.
% 18.85/19.23 substitution0:
% 18.85/19.23 X := X
% 18.85/19.23 Y := T
% 18.85/19.23 Z := Z
% 18.85/19.23 T := Y
% 18.85/19.23 end
% 18.85/19.23 permutation0:
% 18.85/19.23 0 ==> 0
% 18.85/19.23 1 ==> 1
% 18.85/19.23 2 ==> 2
% 18.85/19.23 end
% 18.85/19.23
% 18.85/19.23 resolution: (59981) {G1,W25,D2,L5,V4,M5} { ! cyclic( X, Y, Z, X ), !
% 18.85/19.23 cyclic( X, Y, Z, Y ), ! cyclic( X, Y, Z, T ), cong( X, Y, X, Y ), !
% 18.85/19.23 cyclic( X, Y, Z, T ) }.
% 18.85/19.23 parent0[3]: (43) {G0,W29,D2,L5,V6,M5} I { ! cyclic( X, Y, U, Z ), ! cyclic
% 18.85/19.23 ( X, Y, U, T ), ! cyclic( X, Y, U, W ), ! eqangle( U, X, U, Y, W, Z, W, T
% 18.85/19.23 ), cong( X, Y, Z, T ) }.
% 18.85/19.23 parent1[1]: (40) {G0,W14,D2,L2,V4,M2} I { ! cyclic( X, Y, Z, T ), eqangle(
% 18.85/19.23 Z, X, Z, Y, T, X, T, Y ) }.
% 18.85/19.23 substitution0:
% 18.85/19.23 X := X
% 18.85/19.23 Y := Y
% 18.85/19.23 Z := X
% 18.85/19.23 T := Y
% 18.85/19.23 U := Z
% 18.85/19.23 W := T
% 18.85/19.23 end
% 18.85/19.23 substitution1:
% 18.85/19.23 X := X
% 18.85/19.23 Y := Y
% 18.85/19.23 Z := Z
% 18.85/19.23 T := T
% 18.85/19.23 end
% 18.85/19.23
% 18.85/19.23 factor: (59983) {G1,W20,D2,L4,V3,M4} { ! cyclic( X, Y, Z, X ), ! cyclic( X
% 18.85/19.23 , Y, Z, Y ), cong( X, Y, X, Y ), ! cyclic( X, Y, Z, X ) }.
% 18.85/19.23 parent0[0, 2]: (59981) {G1,W25,D2,L5,V4,M5} { ! cyclic( X, Y, Z, X ), !
% 18.85/19.23 cyclic( X, Y, Z, Y ), ! cyclic( X, Y, Z, T ), cong( X, Y, X, Y ), !
% 18.85/19.23 cyclic( X, Y, Z, T ) }.
% 18.85/19.23 substitution0:
% 18.85/19.23 X := X
% 18.85/19.23 Y := Y
% 18.85/19.23 Z := Z
% 18.85/19.23 T := X
% 18.85/19.23 end
% 18.85/19.23
% 18.85/19.23 subsumption: (940) {G1,W20,D2,L4,V4,M4} R(43,40);f { ! cyclic( X, Y, Z, X )
% 18.85/19.23 , ! cyclic( X, Y, Z, Y ), ! cyclic( X, Y, Z, T ), cong( X, Y, X, Y ) }.
% 18.85/19.23 parent0: (59983) {G1,W20,D2,L4,V3,M4} { ! cyclic( X, Y, Z, X ), ! cyclic(
% 18.85/19.23 X, Y, Z, Y ), cong( X, Y, X, Y ), ! cyclic( X, Y, Z, X ) }.
% 18.85/19.23 substitution0:
% 18.85/19.23 X := X
% 18.85/19.23 Y := Y
% 18.85/19.23 Z := Z
% 18.85/19.23 end
% 18.85/19.23 permutation0:
% 18.85/19.23 0 ==> 0
% 18.85/19.23 1 ==> 1
% 18.85/19.23 2 ==> 3
% 18.85/19.23 3 ==> 0
% 18.85/19.23 end
% 18.85/19.23
% 18.85/19.23 factor: (59988) {G1,W15,D2,L3,V3,M3} { ! cyclic( X, Y, Z, X ), ! cyclic( X
% 18.85/19.23 , Y, Z, Y ), cong( X, Y, X, Y ) }.
% 18.85/19.23 parent0[0, 2]: (940) {G1,W20,D2,L4,V4,M4} R(43,40);f { ! cyclic( X, Y, Z, X
% 18.85/19.23 ), ! cyclic( X, Y, Z, Y ), ! cyclic( X, Y, Z, T ), cong( X, Y, X, Y )
% 18.85/19.23 }.
% 18.85/19.23 substitution0:
% 18.85/19.23 X := X
% 18.85/19.23 Y := Y
% 18.85/19.23 Z := Z
% 18.85/19.23 T := X
% 18.85/19.23 end
% 18.85/19.23
% 18.85/19.23 subsumption: (972) {G2,W15,D2,L3,V3,M3} F(940) { ! cyclic( X, Y, Z, X ), !
% 18.85/19.23 cyclic( X, Y, Z, Y ), cong( X, Y, X, Y ) }.
% 18.85/19.23 parent0: (59988) {G1,W15,D2,L3,V3,M3} { ! cyclic( X, Y, Z, X ), ! cyclic(
% 18.85/19.23 X, Y, Z, Y ), cong( X, Y, X, Y ) }.
% 18.85/19.23 substitution0:
% 18.85/19.23 X := X
% 18.85/19.23 Y := Y
% 18.85/19.23 Z := Z
% 18.85/19.23 end
% 18.85/19.23 permutation0:
% 18.85/19.23 0 ==> 0
% 18.85/19.23 1 ==> 1
% 18.85/19.23 2 ==> 2
% 18.85/19.23 end
% 18.85/19.23
% 18.85/19.23 resolution: (59990) {G1,W7,D3,L1,V0,M1} { perp( skol12( skol20, skol27 ),
% 18.85/19.23 skol20, skol20, skol27 ) }.
% 18.85/19.23 parent0[0]: (100) {G0,W12,D3,L2,V4,M2} I { ! circle( Y, X, Z, T ), perp(
% 18.85/19.23 skol12( X, Y ), X, X, Y ) }.
% 18.85/19.23 parent1[0]: (116) {G0,W5,D2,L1,V0,M1} I { circle( skol27, skol20, skol26,
% 18.85/19.23 skol22 ) }.
% 18.85/19.23 substitution0:
% 18.85/19.23 X := skol20
% 18.85/19.23 Y := skol27
% 18.85/19.23 Z := skol26
% 18.85/19.23 T := skol22
% 18.85/19.23 end
% 18.85/19.23 substitution1:
% 18.85/19.23 end
% 18.85/19.23
% 18.85/19.23 subsumption: (4821) {G1,W7,D3,L1,V0,M1} R(100,116) { perp( skol12( skol20,
% 18.85/19.23 skol27 ), skol20, skol20, skol27 ) }.
% 18.85/19.23 parent0: (59990) {G1,W7,D3,L1,V0,M1} { perp( skol12( skol20, skol27 ),
% 18.85/19.23 skol20, skol20, skol27 ) }.
% 18.85/19.23 substitution0:
% 18.85/19.23 end
% 18.85/19.23 permutation0:
% 18.85/19.23 0 ==> 0
% 18.85/19.23 end
% 18.85/19.23
% 18.85/19.23 resolution: (59991) {G2,W5,D2,L1,V0,M1} { para( skol20, skol27, skol20,
% 18.85/19.23 skol27 ) }.
% 18.85/19.23 parent0[0]: (297) {G2,W10,D2,L2,V4,M2} F(279) { ! perp( X, Y, Z, T ), para
% 18.85/19.23 ( Z, T, Z, T ) }.
% 18.85/19.23 parent1[0]: (4821) {G1,W7,D3,L1,V0,M1} R(100,116) { perp( skol12( skol20,
% 18.85/19.23 skol27 ), skol20, skol20, skol27 ) }.
% 18.85/19.23 substitution0:
% 18.85/19.23 X := skol12( skol20, skol27 )
% 18.85/19.23 Y := skol20
% 18.85/19.23 Z := skol20
% 18.85/19.23 T := skol27
% 18.85/19.23 end
% 18.85/19.23 substitution1:
% 18.85/19.23 end
% 18.85/19.23
% 18.85/19.23 subsumption: (25846) {G3,W5,D2,L1,V0,M1} R(4821,297) { para( skol20, skol27
% 18.85/19.23 , skol20, skol27 ) }.
% 18.85/19.23 parent0: (59991) {G2,W5,D2,L1,V0,M1} { para( skol20, skol27, skol20,
% 18.85/19.23 skol27 ) }.
% 18.85/19.23 substitution0:
% 18.85/19.23 end
% 18.85/19.23 permutation0:
% 18.85/19.23 0 ==> 0
% 18.85/19.23 end
% 18.85/19.23
% 18.85/19.23 resolution: (59992) {G1,W4,D2,L1,V0,M1} { coll( skol20, skol27, skol27 )
% 18.85/19.23 }.
% 18.85/19.23 parent0[0]: (66) {G0,W9,D2,L2,V3,M2} I { ! para( X, Y, X, Z ), coll( X, Y,
% 18.85/19.23 Z ) }.
% 18.85/19.23 parent1[0]: (25846) {G3,W5,D2,L1,V0,M1} R(4821,297) { para( skol20, skol27
% 18.85/19.23 , skol20, skol27 ) }.
% 18.85/19.23 substitution0:
% 18.85/19.23 X := skol20
% 18.85/19.23 Y := skol27
% 18.85/19.23 Z := skol27
% 18.85/19.23 end
% 18.85/19.23 substitution1:
% 18.85/19.23 end
% 18.85/19.23
% 18.85/19.23 subsumption: (25901) {G4,W4,D2,L1,V0,M1} R(25846,66) { coll( skol20, skol27
% 18.85/19.23 , skol27 ) }.
% 18.85/19.23 parent0: (59992) {G1,W4,D2,L1,V0,M1} { coll( skol20, skol27, skol27 ) }.
% 18.85/19.23 substitution0:
% 18.85/19.23 end
% 18.85/19.23 permutation0:
% 18.85/19.23 0 ==> 0
% 18.85/19.23 end
% 18.85/19.23
% 18.85/19.23 resolution: (59993) {G5,W4,D2,L1,V0,M1} { coll( skol20, skol20, skol27 )
% 18.85/19.23 }.
% 18.85/19.23 parent0[0]: (511) {G5,W8,D2,L2,V3,M2} R(226,0) { ! coll( X, Y, Z ), coll( X
% 18.85/19.23 , X, Z ) }.
% 18.85/19.23 parent1[0]: (25901) {G4,W4,D2,L1,V0,M1} R(25846,66) { coll( skol20, skol27
% 18.85/19.23 , skol27 ) }.
% 18.85/19.23 substitution0:
% 18.85/19.23 X := skol20
% 18.85/19.23 Y := skol27
% 18.85/19.23 Z := skol27
% 18.85/19.23 end
% 18.85/19.23 substitution1:
% 18.85/19.23 end
% 18.85/19.23
% 18.85/19.23 subsumption: (25920) {G6,W4,D2,L1,V0,M1} R(25901,511) { coll( skol20,
% 18.85/19.23 skol20, skol27 ) }.
% 18.85/19.23 parent0: (59993) {G5,W4,D2,L1,V0,M1} { coll( skol20, skol20, skol27 ) }.
% 18.85/19.23 substitution0:
% 18.85/19.23 end
% 18.85/19.23 permutation0:
% 18.85/19.23 0 ==> 0
% 18.85/19.23 end
% 18.85/19.23
% 18.85/19.23 resolution: (59994) {G2,W9,D2,L1,V2,M1} { eqangle( X, Y, skol20, skol27, X
% 18.85/19.23 , Y, skol20, skol27 ) }.
% 18.85/19.23 parent0[0]: (814) {G1,W14,D2,L2,V6,M2} R(39,18) { ! para( X, Y, Z, T ),
% 18.85/19.23 eqangle( U, W, X, Y, U, W, Z, T ) }.
% 18.85/19.23 parent1[0]: (25846) {G3,W5,D2,L1,V0,M1} R(4821,297) { para( skol20, skol27
% 18.85/19.23 , skol20, skol27 ) }.
% 18.85/19.23 substitution0:
% 18.85/19.23 X := skol20
% 18.85/19.23 Y := skol27
% 18.85/19.23 Z := skol20
% 18.85/19.23 T := skol27
% 18.85/19.23 U := X
% 18.85/19.23 W := Y
% 18.85/19.23 end
% 18.85/19.23 substitution1:
% 18.85/19.23 end
% 18.85/19.23
% 18.85/19.23 subsumption: (50278) {G4,W9,D2,L1,V2,M1} R(814,25846) { eqangle( X, Y,
% 18.85/19.23 skol20, skol27, X, Y, skol20, skol27 ) }.
% 18.85/19.23 parent0: (59994) {G2,W9,D2,L1,V2,M1} { eqangle( X, Y, skol20, skol27, X, Y
% 18.85/19.23 , skol20, skol27 ) }.
% 18.85/19.23 substitution0:
% 18.85/19.23 X := X
% 18.85/19.23 Y := Y
% 18.85/19.23 end
% 18.85/19.23 permutation0:
% 18.85/19.23 0 ==> 0
% 18.85/19.23 end
% 18.85/19.23
% 18.85/19.23 resolution: (59995) {G2,W14,D2,L2,V1,M2} { cyclic( X, skol27, skol20,
% 18.85/19.23 skol20 ), ! eqangle( skol20, X, skol20, skol27, skol20, X, skol20, skol27
% 18.85/19.23 ) }.
% 18.85/19.23 parent0[0]: (867) {G1,W18,D2,L3,V4,M3} R(42,19) { ! coll( X, Y, Z ), cyclic
% 18.85/19.23 ( T, Z, X, Y ), ! eqangle( Y, T, Y, Z, X, T, X, Z ) }.
% 18.85/19.23 parent1[0]: (25920) {G6,W4,D2,L1,V0,M1} R(25901,511) { coll( skol20, skol20
% 18.85/19.23 , skol27 ) }.
% 18.85/19.23 substitution0:
% 18.85/19.23 X := skol20
% 18.85/19.23 Y := skol20
% 18.85/19.23 Z := skol27
% 18.85/19.23 T := X
% 18.85/19.23 end
% 18.85/19.23 substitution1:
% 18.85/19.23 end
% 18.85/19.23
% 18.85/19.23 resolution: (59996) {G3,W5,D2,L1,V1,M1} { cyclic( X, skol27, skol20,
% 18.85/19.23 skol20 ) }.
% 18.85/19.23 parent0[1]: (59995) {G2,W14,D2,L2,V1,M2} { cyclic( X, skol27, skol20,
% 18.85/19.23 skol20 ), ! eqangle( skol20, X, skol20, skol27, skol20, X, skol20, skol27
% 18.85/19.23 ) }.
% 18.85/19.23 parent1[0]: (50278) {G4,W9,D2,L1,V2,M1} R(814,25846) { eqangle( X, Y,
% 18.85/19.23 skol20, skol27, X, Y, skol20, skol27 ) }.
% 18.85/19.23 substitution0:
% 18.85/19.23 X := X
% 18.85/19.23 end
% 18.85/19.23 substitution1:
% 18.85/19.23 X := skol20
% 18.85/19.23 Y := X
% 18.85/19.23 end
% 18.85/19.23
% 18.85/19.23 subsumption: (53213) {G7,W5,D2,L1,V1,M1} R(867,25920);r(50278) { cyclic( X
% 18.85/19.23 , skol27, skol20, skol20 ) }.
% 18.85/19.23 parent0: (59996) {G3,W5,D2,L1,V1,M1} { cyclic( X, skol27, skol20, skol20 )
% 18.85/19.23 }.
% 18.85/19.23 substitution0:
% 18.85/19.23 X := X
% 18.85/19.23 end
% 18.85/19.23 permutation0:
% 18.85/19.23 0 ==> 0
% 18.85/19.23 end
% 18.85/19.23
% 18.85/19.23 resolution: (59997) {G2,W5,D2,L1,V1,M1} { cyclic( skol27, X, skol20,
% 18.85/19.23 skol20 ) }.
% 18.85/19.23 parent0[1]: (379) {G1,W10,D2,L2,V4,M2} R(15,13) { cyclic( X, Y, Z, T ), !
% 18.85/19.23 cyclic( Y, X, T, Z ) }.
% 18.85/19.23 parent1[0]: (53213) {G7,W5,D2,L1,V1,M1} R(867,25920);r(50278) { cyclic( X,
% 18.85/19.23 skol27, skol20, skol20 ) }.
% 18.85/19.23 substitution0:
% 18.85/19.23 X := skol27
% 18.85/19.23 Y := X
% 18.85/19.23 Z := skol20
% 18.85/19.23 T := skol20
% 18.85/19.23 end
% 18.85/19.23 substitution1:
% 18.85/19.23 X := X
% 18.85/19.23 end
% 18.85/19.23
% 18.85/19.23 subsumption: (53462) {G8,W5,D2,L1,V1,M1} R(53213,379) { cyclic( skol27, X,
% 18.85/19.23 skol20, skol20 ) }.
% 18.85/19.23 parent0: (59997) {G2,W5,D2,L1,V1,M1} { cyclic( skol27, X, skol20, skol20 )
% 18.85/19.23 }.
% 18.85/19.23 substitution0:
% 18.85/19.23 X := X
% 18.85/19.23 end
% 18.85/19.23 permutation0:
% 18.85/19.23 0 ==> 0
% 18.85/19.23 end
% 18.85/19.23
% 18.85/19.23 resolution: (59998) {G3,W5,D2,L1,V1,M1} { cyclic( skol20, X, skol20,
% 18.85/19.23 skol20 ) }.
% 18.85/19.23 parent0[0]: (413) {G2,W10,D2,L2,V4,M2} F(404) { ! cyclic( X, Y, Z, T ),
% 18.85/19.23 cyclic( Z, Y, T, T ) }.
% 18.85/19.23 parent1[0]: (53462) {G8,W5,D2,L1,V1,M1} R(53213,379) { cyclic( skol27, X,
% 18.85/19.23 skol20, skol20 ) }.
% 18.85/19.23 substitution0:
% 18.85/19.23 X := skol27
% 18.85/19.23 Y := X
% 18.85/19.23 Z := skol20
% 18.85/19.23 T := skol20
% 18.85/19.23 end
% 18.85/19.23 substitution1:
% 18.85/19.23 X := X
% 18.85/19.23 end
% 18.85/19.23
% 18.85/19.23 subsumption: (53474) {G9,W5,D2,L1,V1,M1} R(53462,413) { cyclic( skol20, X,
% 18.85/19.23 skol20, skol20 ) }.
% 18.85/19.23 parent0: (59998) {G3,W5,D2,L1,V1,M1} { cyclic( skol20, X, skol20, skol20 )
% 18.85/19.23 }.
% 18.85/19.23 substitution0:
% 18.85/19.23 X := X
% 18.85/19.23 end
% 18.85/19.23 permutation0:
% 18.85/19.23 0 ==> 0
% 18.85/19.23 end
% 18.85/19.23
% 18.85/19.23 resolution: (59999) {G2,W5,D2,L1,V1,M1} { cyclic( skol20, skol20, X,
% 18.85/19.23 skol20 ) }.
% 18.85/19.23 parent0[1]: (377) {G1,W10,D2,L2,V4,M2} R(15,14) { cyclic( X, Y, Z, T ), !
% 18.85/19.23 cyclic( Y, Z, X, T ) }.
% 18.85/19.23 parent1[0]: (53474) {G9,W5,D2,L1,V1,M1} R(53462,413) { cyclic( skol20, X,
% 18.85/19.23 skol20, skol20 ) }.
% 18.85/19.23 substitution0:
% 18.85/19.23 X := skol20
% 18.85/19.23 Y := skol20
% 18.85/19.23 Z := X
% 18.85/19.23 T := skol20
% 18.85/19.23 end
% 18.85/19.23 substitution1:
% 18.85/19.23 X := X
% 18.85/19.23 end
% 18.85/19.23
% 18.85/19.23 subsumption: (53496) {G10,W5,D2,L1,V1,M1} R(53474,377) { cyclic( skol20,
% 18.85/19.23 skol20, X, skol20 ) }.
% 18.85/19.23 parent0: (59999) {G2,W5,D2,L1,V1,M1} { cyclic( skol20, skol20, X, skol20 )
% 18.85/19.23 }.
% 18.85/19.23 substitution0:
% 18.85/19.23 X := X
% 18.85/19.23 end
% 18.85/19.23 permutation0:
% 18.85/19.23 0 ==> 0
% 18.85/19.23 end
% 18.85/19.23
% 18.85/19.23 resolution: (60000) {G2,W5,D2,L1,V1,M1} { cyclic( skol20, skol20, skol20,
% 18.85/19.23 X ) }.
% 18.85/19.23 parent0[0]: (360) {G1,W10,D2,L2,V4,M2} R(14,13) { ! cyclic( X, Y, Z, T ),
% 18.85/19.23 cyclic( X, Z, T, Y ) }.
% 18.85/19.23 parent1[0]: (53474) {G9,W5,D2,L1,V1,M1} R(53462,413) { cyclic( skol20, X,
% 18.85/19.23 skol20, skol20 ) }.
% 18.85/19.23 substitution0:
% 18.85/19.23 X := skol20
% 18.85/19.23 Y := X
% 18.85/19.23 Z := skol20
% 18.85/19.23 T := skol20
% 18.85/19.23 end
% 18.85/19.23 substitution1:
% 18.85/19.23 X := X
% 18.85/19.23 end
% 18.85/19.23
% 18.85/19.23 subsumption: (53497) {G10,W5,D2,L1,V1,M1} R(53474,360) { cyclic( skol20,
% 18.85/19.23 skol20, skol20, X ) }.
% 18.85/19.23 parent0: (60000) {G2,W5,D2,L1,V1,M1} { cyclic( skol20, skol20, skol20, X )
% 18.85/19.23 }.
% 18.85/19.23 substitution0:
% 18.85/19.23 X := X
% 18.85/19.23 end
% 18.85/19.23 permutation0:
% 18.85/19.23 0 ==> 0
% 18.85/19.23 end
% 18.85/19.23
% 18.85/19.23 resolution: (60002) {G2,W10,D2,L2,V2,M2} { ! cyclic( skol20, skol20,
% 18.85/19.23 skol20, X ), cyclic( skol20, skol20, X, Y ) }.
% 18.85/19.23 parent0[2]: (409) {G1,W15,D2,L3,V5,M3} R(16,13) { ! cyclic( X, Y, Z, T ),
% 18.85/19.23 cyclic( Y, Z, T, U ), ! cyclic( X, Y, U, Z ) }.
% 18.85/19.23 parent1[0]: (53496) {G10,W5,D2,L1,V1,M1} R(53474,377) { cyclic( skol20,
% 18.85/19.23 skol20, X, skol20 ) }.
% 18.85/19.23 substitution0:
% 18.85/19.23 X := skol20
% 18.85/19.23 Y := skol20
% 18.85/19.23 Z := skol20
% 18.85/19.23 T := X
% 18.85/19.23 U := Y
% 18.85/19.23 end
% 18.85/19.23 substitution1:
% 18.85/19.23 X := Y
% 18.85/19.23 end
% 18.85/19.23
% 18.85/19.23 resolution: (60003) {G3,W5,D2,L1,V2,M1} { cyclic( skol20, skol20, X, Y )
% 18.85/19.23 }.
% 18.85/19.23 parent0[0]: (60002) {G2,W10,D2,L2,V2,M2} { ! cyclic( skol20, skol20,
% 18.85/19.23 skol20, X ), cyclic( skol20, skol20, X, Y ) }.
% 18.85/19.23 parent1[0]: (53497) {G10,W5,D2,L1,V1,M1} R(53474,360) { cyclic( skol20,
% 18.85/19.23 skol20, skol20, X ) }.
% 18.85/19.23 substitution0:
% 18.85/19.23 X := X
% 18.85/19.23 Y := Y
% 18.85/19.23 end
% 18.85/19.23 substitution1:
% 18.85/19.23 X := X
% 18.85/19.23 end
% 18.85/19.23
% 18.85/19.23 subsumption: (53502) {G11,W5,D2,L1,V2,M1} R(53496,409);r(53497) { cyclic(
% 18.85/19.23 skol20, skol20, X, Y ) }.
% 18.85/19.23 parent0: (60003) {G3,W5,D2,L1,V2,M1} { cyclic( skol20, skol20, X, Y ) }.
% 18.85/19.23 substitution0:
% 18.85/19.23 X := X
% 18.85/19.23 Y := Y
% 18.85/19.23 end
% 18.85/19.23 permutation0:
% 18.85/19.23 0 ==> 0
% 18.85/19.23 end
% 18.85/19.23
% 18.85/19.23 resolution: (60004) {G2,W10,D2,L2,V3,M2} { cyclic( skol20, X, Y, Z ), !
% 18.85/19.23 cyclic( skol20, skol20, Z, X ) }.
% 18.85/19.23 parent0[0]: (409) {G1,W15,D2,L3,V5,M3} R(16,13) { ! cyclic( X, Y, Z, T ),
% 18.85/19.23 cyclic( Y, Z, T, U ), ! cyclic( X, Y, U, Z ) }.
% 18.85/19.23 parent1[0]: (53502) {G11,W5,D2,L1,V2,M1} R(53496,409);r(53497) { cyclic(
% 18.85/19.23 skol20, skol20, X, Y ) }.
% 18.85/19.23 substitution0:
% 18.85/19.23 X := skol20
% 18.85/19.23 Y := skol20
% 18.85/19.23 Z := X
% 18.85/19.23 T := Y
% 18.85/19.23 U := Z
% 18.85/19.23 end
% 18.85/19.23 substitution1:
% 18.85/19.23 X := X
% 18.85/19.23 Y := Y
% 18.85/19.23 end
% 18.85/19.23
% 18.85/19.23 resolution: (60006) {G3,W5,D2,L1,V3,M1} { cyclic( skol20, X, Y, Z ) }.
% 18.85/19.23 parent0[1]: (60004) {G2,W10,D2,L2,V3,M2} { cyclic( skol20, X, Y, Z ), !
% 18.85/19.23 cyclic( skol20, skol20, Z, X ) }.
% 18.85/19.23 parent1[0]: (53502) {G11,W5,D2,L1,V2,M1} R(53496,409);r(53497) { cyclic(
% 18.85/19.23 skol20, skol20, X, Y ) }.
% 18.85/19.23 substitution0:
% 18.85/19.23 X := X
% 18.85/19.23 Y := Y
% 18.85/19.23 Z := Z
% 18.85/19.23 end
% 18.85/19.23 substitution1:
% 18.85/19.23 X := Z
% 18.85/19.23 Y := X
% 18.85/19.23 end
% 18.85/19.23
% 18.85/19.23 subsumption: (53836) {G12,W5,D2,L1,V3,M1} R(53502,409);r(53502) { cyclic(
% 18.85/19.23 skol20, X, Y, Z ) }.
% 18.85/19.23 parent0: (60006) {G3,W5,D2,L1,V3,M1} { cyclic( skol20, X, Y, Z ) }.
% 18.85/19.23 substitution0:
% 18.85/19.23 X := X
% 18.85/19.23 Y := Y
% 18.85/19.23 Z := Z
% 18.85/19.23 end
% 18.85/19.23 permutation0:
% 18.85/19.23 0 ==> 0
% 18.85/19.23 end
% 18.85/19.23
% 18.85/19.23 resolution: (60007) {G2,W10,D2,L2,V4,M2} { cyclic( X, Y, Z, T ), ! cyclic
% 18.85/19.23 ( skol20, X, T, Y ) }.
% 18.85/19.23 parent0[0]: (409) {G1,W15,D2,L3,V5,M3} R(16,13) { ! cyclic( X, Y, Z, T ),
% 18.85/19.23 cyclic( Y, Z, T, U ), ! cyclic( X, Y, U, Z ) }.
% 18.85/19.23 parent1[0]: (53836) {G12,W5,D2,L1,V3,M1} R(53502,409);r(53502) { cyclic(
% 18.85/19.23 skol20, X, Y, Z ) }.
% 18.85/19.23 substitution0:
% 18.85/19.23 X := skol20
% 18.85/19.23 Y := X
% 18.85/19.23 Z := Y
% 18.85/19.23 T := Z
% 18.85/19.23 U := T
% 18.85/19.23 end
% 18.85/19.23 substitution1:
% 18.85/19.23 X := X
% 18.85/19.23 Y := Y
% 18.85/19.23 Z := Z
% 18.85/19.23 end
% 18.85/19.23
% 18.85/19.23 resolution: (60009) {G3,W5,D2,L1,V4,M1} { cyclic( X, Y, Z, T ) }.
% 18.85/19.23 parent0[1]: (60007) {G2,W10,D2,L2,V4,M2} { cyclic( X, Y, Z, T ), ! cyclic
% 18.85/19.23 ( skol20, X, T, Y ) }.
% 18.85/19.23 parent1[0]: (53836) {G12,W5,D2,L1,V3,M1} R(53502,409);r(53502) { cyclic(
% 18.85/19.23 skol20, X, Y, Z ) }.
% 18.85/19.23 substitution0:
% 18.85/19.23 X := X
% 18.85/19.23 Y := Y
% 18.85/19.23 Z := Z
% 18.85/19.23 T := T
% 18.85/19.23 end
% 18.85/19.23 substitution1:
% 18.85/19.23 X := X
% 18.85/19.23 Y := T
% 18.85/19.23 Z := Y
% 18.85/19.23 end
% 18.85/19.23
% 18.85/19.23 subsumption: (53855) {G13,W5,D2,L1,V4,M1} R(53836,409);r(53836) { cyclic( X
% 18.85/19.23 , Y, Z, T ) }.
% 18.85/19.23 parent0: (60009) {G3,W5,D2,L1,V4,M1} { cyclic( X, Y, Z, T ) }.
% 18.85/19.23 substitution0:
% 18.85/19.23 X := X
% 18.85/19.23 Y := Y
% 18.85/19.23 Z := Z
% 18.85/19.23 T := T
% 18.85/19.23 end
% 18.85/19.23 permutation0:
% 18.85/19.23 0 ==> 0
% 18.85/19.23 end
% 18.85/19.23
% 18.85/19.23 resolution: (60012) {G3,W10,D2,L2,V3,M2} { ! cyclic( X, Y, Z, Y ), cong( X
% 18.85/19.23 , Y, X, Y ) }.
% 18.85/19.23 parent0[0]: (972) {G2,W15,D2,L3,V3,M3} F(940) { ! cyclic( X, Y, Z, X ), !
% 18.85/19.23 cyclic( X, Y, Z, Y ), cong( X, Y, X, Y ) }.
% 18.85/19.23 parent1[0]: (53855) {G13,W5,D2,L1,V4,M1} R(53836,409);r(53836) { cyclic( X
% 18.85/19.23 , Y, Z, T ) }.
% 18.85/19.23 substitution0:
% 18.85/19.23 X := X
% 18.85/19.23 Y := Y
% 18.85/19.23 Z := Z
% 18.85/19.23 end
% 18.85/19.23 substitution1:
% 18.85/19.23 X := X
% 18.85/19.23 Y := Y
% 18.85/19.23 Z := Z
% 18.85/19.23 T := X
% 18.85/19.23 end
% 18.85/19.23
% 18.85/19.23 resolution: (60014) {G4,W5,D2,L1,V2,M1} { cong( X, Y, X, Y ) }.
% 18.85/19.23 parent0[0]: (60012) {G3,W10,D2,L2,V3,M2} { ! cyclic( X, Y, Z, Y ), cong( X
% 18.85/19.23 , Y, X, Y ) }.
% 18.85/19.23 parent1[0]: (53855) {G13,W5,D2,L1,V4,M1} R(53836,409);r(53836) { cyclic( X
% 18.85/19.23 , Y, Z, T ) }.
% 18.85/19.23 substitution0:
% 18.85/19.23 X := X
% 18.85/19.23 Y := Y
% 18.85/19.23 Z := Z
% 18.85/19.23 end
% 18.85/19.23 substitution1:
% 18.85/19.23 X := X
% 18.85/19.23 Y := Y
% 18.85/19.23 Z := Z
% 18.85/19.23 T := Y
% 18.85/19.23 end
% 18.85/19.23
% 18.85/19.23 subsumption: (59105) {G14,W5,D2,L1,V2,M1} S(972);r(53855);r(53855) { cong(
% 18.85/19.23 X, Y, X, Y ) }.
% 18.85/19.23 parent0: (60014) {G4,W5,D2,L1,V2,M1} { cong( X, Y, X, Y ) }.
% 18.85/19.23 substitution0:
% 18.85/19.23 X := X
% 18.85/19.23 Y := Y
% 18.85/19.23 end
% 18.85/19.23 permutation0:
% 18.85/19.23 0 ==> 0
% 18.85/19.23 end
% 18.85/19.23
% 18.85/19.23 resolution: (60015) {G1,W10,D2,L2,V3,M2} { ! cong( X, Z, X, Z ), perp( X,
% 18.85/19.23 X, Y, Z ) }.
% 18.85/19.23 parent0[0]: (56) {G0,W15,D2,L3,V4,M3} I { ! cong( X, Z, Y, Z ), ! cong( X,
% 18.85/19.23 T, Y, T ), perp( X, Y, Z, T ) }.
% 18.85/19.23 parent1[0]: (59105) {G14,W5,D2,L1,V2,M1} S(972);r(53855);r(53855) { cong( X
% 18.85/19.23 , Y, X, Y ) }.
% 18.85/19.23 substitution0:
% 18.85/19.23 X := X
% 18.85/19.23 Y := X
% 18.85/19.23 Z := Y
% 18.85/19.23 T := Z
% 18.85/19.23 end
% 18.85/19.23 substitution1:
% 18.85/19.23 X := X
% 18.85/19.23 Y := Y
% 18.85/19.23 end
% 18.85/19.23
% 18.85/19.23 resolution: (60017) {G2,W5,D2,L1,V3,M1} { perp( X, X, Z, Y ) }.
% 18.85/19.23 parent0[0]: (60015) {G1,W10,D2,L2,V3,M2} { ! cong( X, Z, X, Z ), perp( X,
% 18.85/19.23 X, Y, Z ) }.
% 18.85/19.23 parent1[0]: (59105) {G14,W5,D2,L1,V2,M1} S(972);r(53855);r(53855) { cong( X
% 18.85/19.23 , Y, X, Y ) }.
% 18.85/19.23 substitution0:
% 18.85/19.23 X := X
% 18.85/19.23 Y := Z
% 18.85/19.23 Z := Y
% 18.85/19.23 end
% 18.85/19.23 substitution1:
% 18.85/19.23 X := X
% 18.85/19.23 Y := Y
% 18.85/19.23 end
% 18.85/19.23
% 18.85/19.23 subsumption: (59122) {G15,W5,D2,L1,V3,M1} R(59105,56);r(59105) { perp( X, X
% 18.85/19.23 , Z, Y ) }.
% 18.85/19.23 parent0: (60017) {G2,W5,D2,L1,V3,M1} { perp( X, X, Z, Y ) }.
% 18.85/19.23 substitution0:
% 18.85/19.23 X := X
% 18.85/19.23 Y := Y
% 18.85/19.23 Z := Z
% 18.85/19.23 end
% 18.85/19.23 permutation0:
% 18.85/19.23 0 ==> 0
% 18.85/19.23 end
% 18.85/19.23
% 18.85/19.23 resolution: (60018) {G2,W10,D2,L2,V5,M2} { para( T, U, Y, Z ), ! perp( X,
% 18.85/19.23 X, T, U ) }.
% 18.85/19.23 parent0[0]: (279) {G1,W15,D2,L3,V6,M3} R(8,7) { ! perp( X, Y, Z, T ), para
% 18.85/19.23 ( U, W, Z, T ), ! perp( X, Y, U, W ) }.
% 18.85/19.23 parent1[0]: (59122) {G15,W5,D2,L1,V3,M1} R(59105,56);r(59105) { perp( X, X
% 18.85/19.23 , Z, Y ) }.
% 18.85/19.23 substitution0:
% 18.85/19.23 X := X
% 18.85/19.23 Y := X
% 18.85/19.23 Z := Y
% 18.85/19.23 T := Z
% 18.85/19.23 U := T
% 18.85/19.23 W := U
% 18.85/19.23 end
% 18.85/19.23 substitution1:
% 18.85/19.23 X := X
% 18.85/19.23 Y := Z
% 18.85/19.23 Z := Y
% 18.85/19.23 end
% 18.85/19.23
% 18.85/19.23 resolution: (60020) {G3,W5,D2,L1,V4,M1} { para( X, Y, Z, T ) }.
% 18.85/19.23 parent0[1]: (60018) {G2,W10,D2,L2,V5,M2} { para( T, U, Y, Z ), ! perp( X,
% 18.85/19.23 X, T, U ) }.
% 18.85/19.23 parent1[0]: (59122) {G15,W5,D2,L1,V3,M1} R(59105,56);r(59105) { perp( X, X
% 18.85/19.23 , Z, Y ) }.
% 18.85/19.23 substitution0:
% 18.85/19.23 X := U
% 18.85/19.23 Y := Z
% 18.85/19.23 Z := T
% 18.85/19.23 T := X
% 18.85/19.23 U := Y
% 18.85/19.23 end
% 18.85/19.23 substitution1:
% 18.85/19.23 X := U
% 18.85/19.23 Y := Y
% 18.85/19.23 Z := X
% 18.85/19.23 end
% 18.85/19.23
% 18.85/19.23 subsumption: (59159) {G16,W5,D2,L1,V4,M1} R(59122,279);r(59122) { para( X,
% 18.85/19.23 Y, Z, T ) }.
% 18.85/19.23 parent0: (60020) {G3,W5,D2,L1,V4,M1} { para( X, Y, Z, T ) }.
% 18.85/19.23 substitution0:
% 18.85/19.23 X := X
% 18.85/19.23 Y := Y
% 18.85/19.23 Z := Z
% 18.85/19.23 T := T
% 18.85/19.23 end
% 18.85/19.23 permutation0:
% 18.85/19.23 0 ==> 0
% 18.85/19.23 end
% 18.85/19.23
% 18.85/19.23 resolution: (60021) {G2,W9,D2,L1,V6,M1} { eqangle( X, Y, Z, T, U, W, Z, T
% 18.85/19.23 ) }.
% 18.85/19.23 parent0[1]: (818) {G1,W14,D2,L2,V6,M2} R(39,3) { eqangle( X, Y, Z, T, U, W
% 18.85/19.23 , Z, T ), ! para( X, Y, W, U ) }.
% 18.85/19.23 parent1[0]: (59159) {G16,W5,D2,L1,V4,M1} R(59122,279);r(59122) { para( X, Y
% 18.85/19.23 , Z, T ) }.
% 18.85/19.23 substitution0:
% 18.85/19.23 X := X
% 18.85/19.23 Y := Y
% 18.85/19.23 Z := Z
% 18.85/19.23 T := T
% 18.85/19.23 U := U
% 18.85/19.23 W := W
% 18.85/19.23 end
% 18.85/19.23 substitution1:
% 18.85/19.23 X := X
% 18.85/19.23 Y := Y
% 18.85/19.23 Z := W
% 18.85/19.23 T := U
% 18.85/19.23 end
% 18.85/19.23
% 18.85/19.23 subsumption: (59291) {G17,W9,D2,L1,V6,M1} R(59159,818) { eqangle( X, Y, Z,
% 18.85/19.23 T, U, W, Z, T ) }.
% 18.85/19.23 parent0: (60021) {G2,W9,D2,L1,V6,M1} { eqangle( X, Y, Z, T, U, W, Z, T )
% 18.85/19.23 }.
% 18.85/19.23 substitution0:
% 18.85/19.23 X := X
% 18.85/19.23 Y := Y
% 18.85/19.23 Z := Z
% 18.85/19.23 T := T
% 18.85/19.23 U := U
% 18.85/19.23 W := W
% 18.85/19.23 end
% 18.85/19.23 permutation0:
% 18.85/19.23 0 ==> 0
% 18.85/19.23 end
% 18.85/19.23
% 18.85/19.23 resolution: (60022) {G2,W9,D2,L1,V6,M1} { eqangle( X, Y, Z, T, U, W, U, W
% 18.85/19.23 ) }.
% 18.85/19.23 parent0[0]: (812) {G1,W14,D2,L2,V6,M2} R(39,20) { ! para( X, Y, Z, T ),
% 18.85/19.23 eqangle( X, Y, Z, T, U, W, U, W ) }.
% 18.85/19.23 parent1[0]: (59159) {G16,W5,D2,L1,V4,M1} R(59122,279);r(59122) { para( X, Y
% 18.85/19.23 , Z, T ) }.
% 18.85/19.23 substitution0:
% 18.85/19.23 X := X
% 18.85/19.23 Y := Y
% 18.85/19.23 Z := Z
% 18.85/19.23 T := T
% 18.85/19.23 U := U
% 18.85/19.23 W := W
% 18.85/19.23 end
% 18.85/19.23 substitution1:
% 18.85/19.23 X := X
% 18.85/19.23 Y := Y
% 18.85/19.23 Z := Z
% 18.85/19.23 T := T
% 18.85/19.23 end
% 18.85/19.23
% 18.85/19.23 subsumption: (59293) {G17,W9,D2,L1,V6,M1} R(59159,812) { eqangle( X, Y, Z,
% 18.85/19.23 T, U, W, U, W ) }.
% 18.85/19.23 parent0: (60022) {G2,W9,D2,L1,V6,M1} { eqangle( X, Y, Z, T, U, W, U, W )
% 18.85/19.23 }.
% 18.85/19.23 substitution0:
% 18.85/19.23 X := X
% 18.85/19.23 Y := Y
% 18.85/19.23 Z := Z
% 18.85/19.23 T := T
% 18.85/19.23 U := U
% 18.85/19.23 W := W
% 18.85/19.23 end
% 18.85/19.23 permutation0:
% 18.85/19.23 0 ==> 0
% 18.85/19.23 end
% 18.85/19.23
% 18.85/19.23 resolution: (60023) {G2,W9,D2,L1,V6,M1} { eqangle( Z, T, Z, T, X, Y, U, W
% 18.85/19.23 ) }.
% 18.85/19.23 parent0[0]: (482) {G1,W18,D2,L2,V8,M2} R(20,19) { ! eqangle( X, Y, Z, T, U
% 18.85/19.23 , W, V0, V1 ), eqangle( Z, T, V0, V1, X, Y, U, W ) }.
% 18.85/19.23 parent1[0]: (59291) {G17,W9,D2,L1,V6,M1} R(59159,818) { eqangle( X, Y, Z, T
% 18.85/19.23 , U, W, Z, T ) }.
% 18.85/19.23 substitution0:
% 18.85/19.23 X := X
% 18.85/19.23 Y := Y
% 18.85/19.23 Z := Z
% 18.85/19.23 T := T
% 18.85/19.23 U := U
% 18.85/19.23 W := W
% 18.85/19.23 V0 := Z
% 18.85/19.23 V1 := T
% 18.85/19.23 end
% 18.85/19.23 substitution1:
% 18.85/19.23 X := X
% 18.85/19.23 Y := Y
% 18.85/19.23 Z := Z
% 18.85/19.23 T := T
% 18.85/19.23 U := U
% 18.85/19.23 W := W
% 18.85/19.23 end
% 18.85/19.23
% 18.85/19.23 subsumption: (59479) {G18,W9,D2,L1,V6,M1} R(59291,482) { eqangle( X, Y, X,
% 18.85/19.23 Y, Z, T, U, W ) }.
% 18.85/19.23 parent0: (60023) {G2,W9,D2,L1,V6,M1} { eqangle( Z, T, Z, T, X, Y, U, W )
% 18.85/19.23 }.
% 18.85/19.23 substitution0:
% 18.85/19.23 X := Z
% 18.85/19.23 Y := T
% 18.85/19.23 Z := X
% 18.85/19.23 T := Y
% 18.85/19.23 U := U
% 18.85/19.23 W := W
% 18.85/19.23 end
% 18.85/19.23 permutation0:
% 18.85/19.23 0 ==> 0
% 18.85/19.23 end
% 18.85/19.23
% 18.85/19.23 resolution: (60024) {G2,W18,D2,L2,V10,M2} { eqangle( V0, V1, V2, V3, Z, T
% 18.85/19.23 , U, W ), ! eqangle( V1, V0, V2, V3, X, Y, X, Y ) }.
% 18.85/19.23 parent0[0]: (506) {G1,W27,D2,L3,V12,M3} R(21,17) { ! eqangle( X, Y, Z, T, U
% 18.85/19.23 , W, V0, V1 ), eqangle( V2, V3, V4, V5, U, W, V0, V1 ), ! eqangle( V3, V2
% 18.85/19.23 , V4, V5, X, Y, Z, T ) }.
% 18.85/19.23 parent1[0]: (59479) {G18,W9,D2,L1,V6,M1} R(59291,482) { eqangle( X, Y, X, Y
% 18.85/19.23 , Z, T, U, W ) }.
% 18.85/19.23 substitution0:
% 18.85/19.23 X := X
% 18.85/19.23 Y := Y
% 18.85/19.23 Z := X
% 18.85/19.23 T := Y
% 18.85/19.23 U := Z
% 18.85/19.23 W := T
% 18.85/19.23 V0 := U
% 18.85/19.23 V1 := W
% 18.85/19.23 V2 := V0
% 18.85/19.23 V3 := V1
% 18.85/19.23 V4 := V2
% 18.85/19.23 V5 := V3
% 18.85/19.23 end
% 18.85/19.23 substitution1:
% 18.85/19.23 X := X
% 18.85/19.23 Y := Y
% 18.85/19.23 Z := Z
% 18.85/19.23 T := T
% 18.85/19.23 U := U
% 18.85/19.23 W := W
% 18.85/19.23 end
% 18.85/19.23
% 18.85/19.23 resolution: (60026) {G3,W9,D2,L1,V8,M1} { eqangle( X, Y, Z, T, U, W, V0,
% 18.85/19.23 V1 ) }.
% 18.85/19.23 parent0[1]: (60024) {G2,W18,D2,L2,V10,M2} { eqangle( V0, V1, V2, V3, Z, T
% 18.85/19.23 , U, W ), ! eqangle( V1, V0, V2, V3, X, Y, X, Y ) }.
% 18.85/19.23 parent1[0]: (59293) {G17,W9,D2,L1,V6,M1} R(59159,812) { eqangle( X, Y, Z, T
% 18.85/19.23 , U, W, U, W ) }.
% 18.85/19.23 substitution0:
% 18.85/19.23 X := V2
% 18.85/19.23 Y := V3
% 18.85/19.23 Z := U
% 18.85/19.23 T := W
% 18.85/19.23 U := V0
% 18.85/19.23 W := V1
% 18.85/19.23 V0 := X
% 18.85/19.23 V1 := Y
% 18.85/19.23 V2 := Z
% 18.85/19.23 V3 := T
% 18.85/19.23 end
% 18.85/19.23 substitution1:
% 18.85/19.23 X := Y
% 18.85/19.23 Y := X
% 18.85/19.23 Z := Z
% 18.85/19.23 T := T
% 18.85/19.23 U := V2
% 18.85/19.23 W := V3
% 18.85/19.23 end
% 18.85/19.23
% 18.85/19.23 subsumption: (59481) {G19,W9,D2,L1,V8,M1} R(59479,506);r(59293) { eqangle(
% 18.85/19.23 X, Y, Z, T, U, W, V0, V1 ) }.
% 18.85/19.23 parent0: (60026) {G3,W9,D2,L1,V8,M1} { eqangle( X, Y, Z, T, U, W, V0, V1 )
% 18.85/19.23 }.
% 18.85/19.23 substitution0:
% 18.85/19.23 X := X
% 18.85/19.23 Y := Y
% 18.85/19.23 Z := Z
% 18.85/19.23 T := T
% 18.85/19.23 U := U
% 18.85/19.23 W := W
% 18.85/19.23 V0 := V0
% 18.85/19.23 V1 := V1
% 18.85/19.23 end
% 18.85/19.23 permutation0:
% 18.85/19.23 0 ==> 0
% 18.85/19.23 end
% 18.85/19.23
% 18.85/19.23 resolution: (60027) {G1,W0,D0,L0,V0,M0} { }.
% 18.85/19.23 parent0[0]: (124) {G0,W9,D2,L1,V0,M1} I { ! eqangle( skol20, skol23, skol23
% 18.85/19.23 , skol24, skol25, skol23, skol23, skol22 ) }.
% 18.85/19.23 parent1[0]: (59481) {G19,W9,D2,L1,V8,M1} R(59479,506);r(59293) { eqangle( X
% 18.85/19.23 , Y, Z, T, U, W, V0, V1 ) }.
% 18.85/19.23 substitution0:
% 18.85/19.23 end
% 18.85/19.23 substitution1:
% 18.85/19.23 X := skol20
% 18.85/19.23 Y := skol23
% 18.85/19.23 Z := skol23
% 18.85/19.23 T := skol24
% 18.85/19.23 U := skol25
% 18.85/19.23 W := skol23
% 18.85/19.23 V0 := skol23
% 18.85/19.23 V1 := skol22
% 18.85/19.23 end
% 18.85/19.23
% 18.85/19.23 subsumption: (59482) {G20,W0,D0,L0,V0,M0} R(59481,124) { }.
% 18.85/19.23 parent0: (60027) {G1,W0,D0,L0,V0,M0} { }.
% 18.85/19.23 substitution0:
% 18.85/19.23 end
% 18.85/19.23 permutation0:
% 18.85/19.23 end
% 18.85/19.23
% 18.85/19.23 Proof check complete!
% 18.85/19.23
% 18.85/19.23 Memory use:
% 18.85/19.23
% 18.85/19.23 space for terms: 825178
% 18.85/19.23 space for clauses: 2568629
% 18.85/19.23
% 18.85/19.23
% 18.85/19.23 clauses generated: 494451
% 18.85/19.23 clauses kept: 59483
% 18.85/19.23 clauses selected: 3279
% 18.85/19.23 clauses deleted: 12923
% 18.85/19.23 clauses inuse deleted: 3092
% 18.85/19.23
% 18.85/19.23 subsentry: 23953040
% 18.85/19.23 literals s-matched: 12296712
% 18.85/19.23 literals matched: 6984301
% 18.85/19.23 full subsumption: 2055904
% 18.85/19.23
% 18.85/19.23 checksum: 1146201193
% 18.85/19.23
% 18.85/19.23
% 18.85/19.23 Bliksem ended
%------------------------------------------------------------------------------