TSTP Solution File: GEO585+1 by Bliksem---1.12
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- Process Solution
%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : GEO585+1 : TPTP v8.1.0. Released v7.5.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n003.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 02:54:54 EDT 2022
% Result : Theorem 23.24s 23.61s
% Output : Refutation 23.24s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : GEO585+1 : TPTP v8.1.0. Released v7.5.0.
% 0.03/0.12 % Command : bliksem %s
% 0.12/0.33 % Computer : n003.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % DateTime : Fri Jun 17 21:15:42 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.72/1.12 *** allocated 10000 integers for termspace/termends
% 0.72/1.12 *** allocated 10000 integers for clauses
% 0.72/1.12 *** allocated 10000 integers for justifications
% 0.72/1.12 Bliksem 1.12
% 0.72/1.12
% 0.72/1.12
% 0.72/1.12 Automatic Strategy Selection
% 0.72/1.12
% 0.72/1.12 *** allocated 15000 integers for termspace/termends
% 0.72/1.12
% 0.72/1.12 Clauses:
% 0.72/1.12
% 0.72/1.12 { ! coll( X, Y, Z ), coll( X, Z, Y ) }.
% 0.72/1.12 { ! coll( X, Y, Z ), coll( Y, X, Z ) }.
% 0.72/1.12 { ! coll( X, T, Y ), ! coll( X, T, Z ), coll( Y, Z, X ) }.
% 0.72/1.12 { ! para( X, Y, Z, T ), para( X, Y, T, Z ) }.
% 0.72/1.12 { ! para( X, Y, Z, T ), para( Z, T, X, Y ) }.
% 0.72/1.12 { ! para( X, Y, U, W ), ! para( U, W, Z, T ), para( X, Y, Z, T ) }.
% 0.72/1.12 { ! perp( X, Y, Z, T ), perp( X, Y, T, Z ) }.
% 0.72/1.12 { ! perp( X, Y, Z, T ), perp( Z, T, X, Y ) }.
% 0.72/1.12 { ! perp( X, Y, U, W ), ! perp( U, W, Z, T ), para( X, Y, Z, T ) }.
% 0.72/1.12 { ! para( X, Y, U, W ), ! perp( U, W, Z, T ), perp( X, Y, Z, T ) }.
% 0.72/1.12 { ! midp( Z, Y, X ), midp( Z, X, Y ) }.
% 0.72/1.12 { ! cong( T, X, T, Y ), ! cong( T, X, T, Z ), circle( T, X, Y, Z ) }.
% 0.72/1.12 { ! cong( U, X, U, Y ), ! cong( U, X, U, Z ), ! cong( U, X, U, T ), cyclic
% 0.72/1.12 ( X, Y, Z, T ) }.
% 0.72/1.12 { ! cyclic( X, Y, Z, T ), cyclic( X, Y, T, Z ) }.
% 0.72/1.12 { ! cyclic( X, Y, Z, T ), cyclic( X, Z, Y, T ) }.
% 0.72/1.12 { ! cyclic( X, Y, Z, T ), cyclic( Y, X, Z, T ) }.
% 0.72/1.12 { ! cyclic( U, X, Y, Z ), ! cyclic( U, X, Y, T ), cyclic( X, Y, Z, T ) }.
% 0.72/1.12 { ! eqangle( X, Y, Z, T, U, W, V0, V1 ), eqangle( Y, X, Z, T, U, W, V0, V1
% 0.72/1.12 ) }.
% 0.72/1.12 { ! eqangle( X, Y, Z, T, U, W, V0, V1 ), eqangle( Z, T, X, Y, V0, V1, U, W
% 0.72/1.12 ) }.
% 0.72/1.12 { ! eqangle( X, Y, Z, T, U, W, V0, V1 ), eqangle( U, W, V0, V1, X, Y, Z, T
% 0.72/1.12 ) }.
% 0.72/1.12 { ! eqangle( X, Y, Z, T, U, W, V0, V1 ), eqangle( X, Y, U, W, Z, T, V0, V1
% 0.72/1.12 ) }.
% 0.72/1.12 { ! eqangle( X, Y, Z, T, V2, V3, V4, V5 ), ! eqangle( V2, V3, V4, V5, U, W
% 0.72/1.12 , V0, V1 ), eqangle( X, Y, Z, T, U, W, V0, V1 ) }.
% 0.72/1.12 { ! cong( X, Y, Z, T ), cong( X, Y, T, Z ) }.
% 0.72/1.12 { ! cong( X, Y, Z, T ), cong( Z, T, X, Y ) }.
% 0.72/1.12 { ! cong( X, Y, U, W ), ! cong( U, W, Z, T ), cong( X, Y, Z, T ) }.
% 0.72/1.12 { ! eqratio( X, Y, Z, T, U, W, V0, V1 ), eqratio( Y, X, Z, T, U, W, V0, V1
% 0.72/1.12 ) }.
% 0.72/1.12 { ! eqratio( X, Y, Z, T, U, W, V0, V1 ), eqratio( Z, T, X, Y, V0, V1, U, W
% 0.72/1.12 ) }.
% 0.72/1.12 { ! eqratio( X, Y, Z, T, U, W, V0, V1 ), eqratio( U, W, V0, V1, X, Y, Z, T
% 0.72/1.12 ) }.
% 0.72/1.12 { ! eqratio( X, Y, Z, T, U, W, V0, V1 ), eqratio( X, Y, U, W, Z, T, V0, V1
% 0.72/1.12 ) }.
% 0.72/1.12 { ! eqratio( X, Y, Z, T, V2, V3, V4, V5 ), ! eqratio( V2, V3, V4, V5, U, W
% 0.72/1.12 , V0, V1 ), eqratio( X, Y, Z, T, U, W, V0, V1 ) }.
% 0.72/1.12 { ! simtri( X, Z, Y, T, W, U ), simtri( X, Y, Z, T, U, W ) }.
% 0.72/1.12 { ! simtri( Y, X, Z, U, T, W ), simtri( X, Y, Z, T, U, W ) }.
% 0.72/1.12 { ! simtri( T, U, W, X, Y, Z ), simtri( X, Y, Z, T, U, W ) }.
% 0.72/1.12 { ! simtri( X, Y, Z, V0, V1, V2 ), ! simtri( V0, V1, V2, T, U, W ), simtri
% 0.72/1.12 ( X, Y, Z, T, U, W ) }.
% 0.72/1.12 { ! contri( X, Z, Y, T, W, U ), contri( X, Y, Z, T, U, W ) }.
% 0.72/1.12 { ! contri( Y, X, Z, U, T, W ), contri( X, Y, Z, T, U, W ) }.
% 0.72/1.12 { ! contri( T, U, W, X, Y, Z ), contri( X, Y, Z, T, U, W ) }.
% 0.72/1.12 { ! contri( X, Y, Z, V0, V1, V2 ), ! contri( V0, V1, V2, T, U, W ), contri
% 0.72/1.12 ( X, Y, Z, T, U, W ) }.
% 0.72/1.12 { ! eqangle( X, Y, U, W, Z, T, U, W ), para( X, Y, Z, T ) }.
% 0.72/1.12 { ! para( X, Y, Z, T ), eqangle( X, Y, U, W, Z, T, U, W ) }.
% 0.72/1.12 { ! cyclic( X, Y, Z, T ), eqangle( Z, X, Z, Y, T, X, T, Y ) }.
% 0.72/1.12 { ! eqangle( Z, X, Z, Y, T, X, T, Y ), coll( Z, T, X ), cyclic( X, Y, Z, T
% 0.72/1.12 ) }.
% 0.72/1.12 { ! eqangle( Z, X, Z, Y, T, X, T, Y ), ! coll( Z, T, Y ), cyclic( X, Y, Z,
% 0.72/1.12 T ) }.
% 0.72/1.12 { ! cyclic( X, Y, U, Z ), ! cyclic( X, Y, U, T ), ! cyclic( X, Y, U, W ), !
% 0.72/1.12 eqangle( U, X, U, Y, W, Z, W, T ), cong( X, Y, Z, T ) }.
% 0.72/1.12 { ! midp( Z, U, X ), ! midp( T, U, Y ), para( Z, T, X, Y ) }.
% 0.72/1.12 { ! midp( U, X, T ), ! para( U, Z, T, Y ), ! coll( Z, X, Y ), midp( Z, X, Y
% 0.72/1.12 ) }.
% 0.72/1.12 { ! cong( Z, X, Z, Y ), eqangle( Z, X, X, Y, X, Y, Z, Y ) }.
% 0.72/1.12 { ! eqangle( Z, X, X, Y, X, Y, Z, Y ), coll( Z, X, Y ), cong( Z, X, Z, Y )
% 0.72/1.12 }.
% 0.72/1.12 { ! circle( U, X, Y, Z ), ! perp( U, X, X, T ), eqangle( X, T, X, Y, Z, X,
% 0.72/1.12 Z, Y ) }.
% 0.72/1.12 { ! circle( Y, X, T, U ), ! eqangle( X, Z, X, T, U, X, U, T ), perp( Y, X,
% 0.72/1.12 X, Z ) }.
% 0.72/1.12 { ! circle( T, X, Y, Z ), ! midp( U, Y, Z ), eqangle( X, Y, X, Z, T, Y, T,
% 0.72/1.12 U ) }.
% 0.72/1.12 { ! circle( U, T, X, Y ), ! coll( Z, X, Y ), ! eqangle( T, X, T, Y, U, X, U
% 0.72/1.12 , Z ), midp( Z, X, Y ) }.
% 0.72/1.12 { ! perp( X, Y, Y, T ), ! midp( Z, X, T ), cong( X, Z, Y, Z ) }.
% 0.72/1.12 { ! circle( T, X, Y, Z ), ! coll( T, X, Z ), perp( X, Y, Y, Z ) }.
% 0.72/1.12 { ! cyclic( X, Y, Z, T ), ! para( X, Y, Z, T ), eqangle( X, T, Z, T, Z, T,
% 0.72/1.12 Z, Y ) }.
% 0.72/1.12 { ! midp( T, X, Y ), ! perp( Z, T, X, Y ), cong( Z, X, Z, Y ) }.
% 0.72/1.12 { ! cong( X, Z, Y, Z ), ! cong( X, T, Y, T ), perp( X, Y, Z, T ) }.
% 0.72/1.12 { ! cong( X, Y, T, Y ), ! cong( X, Z, T, Z ), ! cyclic( X, T, Y, Z ), perp
% 0.72/1.12 ( Y, X, X, Z ) }.
% 0.72/1.12 { ! eqangle( X, Y, Y, Z, T, U, U, W ), ! eqangle( X, Z, Y, Z, T, W, U, W )
% 0.72/1.12 , coll( X, Y, Z ), simtri( X, Y, Z, T, U, W ) }.
% 0.72/1.12 { ! simtri( X, Y, Z, T, U, W ), eqratio( X, Y, X, Z, T, U, T, W ) }.
% 0.72/1.12 { ! simtri( X, Y, Z, T, U, W ), eqangle( X, Y, Y, Z, T, U, U, W ) }.
% 0.72/1.12 { ! simtri( X, Y, Z, T, U, W ), ! cong( X, Y, T, U ), contri( X, Y, Z, T, U
% 0.72/1.12 , W ) }.
% 0.72/1.12 { ! contri( X, Y, U, Z, T, W ), cong( X, Y, Z, T ) }.
% 0.72/1.12 { ! midp( U, X, Y ), ! midp( U, Z, T ), para( X, Z, Y, T ) }.
% 0.72/1.12 { ! midp( Z, T, U ), ! para( T, X, U, Y ), ! para( T, Y, U, X ), midp( Z, X
% 0.72/1.12 , Y ) }.
% 0.72/1.12 { ! para( X, Y, Z, T ), ! coll( U, X, Z ), ! coll( U, Y, T ), eqratio( U, X
% 0.72/1.12 , X, Z, U, Y, Y, T ) }.
% 0.72/1.12 { ! para( X, Y, X, Z ), coll( X, Y, Z ) }.
% 0.72/1.12 { ! cong( X, Y, X, Z ), ! coll( X, Y, Z ), midp( X, Y, Z ) }.
% 0.72/1.12 { ! midp( X, Y, Z ), cong( X, Y, X, Z ) }.
% 0.72/1.12 { ! midp( X, Y, Z ), coll( X, Y, Z ) }.
% 0.72/1.12 { ! midp( U, X, Y ), ! midp( W, Z, T ), eqratio( U, X, X, Y, W, Z, Z, T ) }
% 0.72/1.12 .
% 0.72/1.12 { ! eqangle( X, Y, Z, T, Z, T, X, Y ), para( X, Y, Z, T ), perp( X, Y, Z, T
% 0.72/1.12 ) }.
% 0.72/1.12 { ! eqangle( X, Y, Z, T, Z, T, X, Y ), perp( X, Y, Z, T ), para( X, Y, Z, T
% 0.72/1.12 ) }.
% 0.72/1.12 { ! eqangle( X, Y, Z, T, U, W, V0, V1 ), ! para( U, W, V0, V1 ), para( X, Y
% 0.72/1.12 , Z, T ) }.
% 0.72/1.12 { ! eqangle( X, Y, Z, T, U, W, V0, V1 ), ! perp( U, W, V0, V1 ), perp( X, Y
% 0.72/1.12 , Z, T ) }.
% 0.72/1.12 { ! eqratio( X, Y, Z, T, U, W, V0, V1 ), ! cong( U, W, V0, V1 ), cong( X, Y
% 0.72/1.12 , Z, T ) }.
% 0.72/1.12 { ! perp( Z, Y, Y, X ), ! eqangle( T, Z, Y, Z, Y, Z, X, Z ), coll( skol1( U
% 0.72/1.12 , W, Z, T ), Z, T ) }.
% 0.72/1.12 { ! perp( Z, Y, Y, X ), ! eqangle( T, Z, Y, Z, Y, Z, X, Z ), coll( skol1( X
% 0.72/1.12 , Y, Z, T ), X, Y ) }.
% 0.72/1.12 { ! cong( Z, X, Z, Y ), ! eqangle( X, Z, Z, T, Z, T, Z, Y ), coll( skol2( U
% 0.72/1.12 , W, Z, T ), Z, T ) }.
% 0.72/1.12 { ! cong( Z, X, Z, Y ), ! eqangle( X, Z, Z, T, Z, T, Z, Y ), coll( Y, X,
% 0.72/1.12 skol2( X, Y, Z, T ) ) }.
% 0.72/1.12 { ! perp( Z, T, X, Y ), ! eqangle( X, Z, Z, T, Z, T, Z, Y ), coll( skol3( U
% 0.72/1.12 , W, Z, T ), Z, T ) }.
% 0.72/1.12 { ! perp( Z, T, X, Y ), ! eqangle( X, Z, Z, T, Z, T, Z, Y ), coll( Y, X,
% 0.72/1.12 skol3( X, Y, Z, T ) ) }.
% 0.72/1.12 { ! perp( Z, T, X, Y ), ! cong( Z, X, Z, Y ), coll( skol4( U, W, Z, T ), Z
% 0.72/1.12 , T ) }.
% 0.72/1.12 { ! perp( Z, T, X, Y ), ! cong( Z, X, Z, Y ), coll( Y, X, skol4( X, Y, Z, T
% 0.72/1.12 ) ) }.
% 0.72/1.12 { ! eqangle( X, Z, Y, Z, X, T, Y, U ), coll( X, Y, Z ), cyclic( T, Y, Z,
% 0.72/1.12 skol5( W, Y, Z, T ) ) }.
% 0.72/1.12 { ! eqangle( X, Z, Y, Z, X, T, Y, U ), coll( X, Y, Z ), eqangle( X, Z, Y, Z
% 0.72/1.12 , X, skol5( X, Y, Z, T ), Y, skol5( X, Y, Z, T ) ) }.
% 0.72/1.12 { ! midp( U, X, Y ), ! midp( W, Z, T ), midp( skol6( X, V0, V1, T, V2, V3 )
% 0.72/1.12 , X, T ) }.
% 0.72/1.12 { ! midp( U, X, Y ), ! midp( W, Z, T ), para( skol6( X, V0, Z, T, V1, W ),
% 0.72/1.12 W, X, Z ) }.
% 0.72/1.12 { ! midp( U, X, Y ), ! midp( W, Z, T ), para( skol6( X, Y, Z, T, U, W ), U
% 0.72/1.12 , Y, T ) }.
% 0.72/1.12 { ! midp( Z, X, Y ), ! midp( W, T, U ), ! coll( T, X, Y ), ! coll( U, X, Y
% 0.72/1.12 ), midp( skol7( X, V0 ), X, V0 ) }.
% 0.72/1.12 { ! midp( T, X, U ), ! para( X, W, Z, T ), ! para( X, W, U, Y ), ! coll( W
% 0.72/1.12 , Y, Z ), coll( skol8( V0, V1, Z, T ), T, Z ) }.
% 0.72/1.12 { ! midp( T, X, U ), ! para( X, W, Z, T ), ! para( X, W, U, Y ), ! coll( W
% 0.72/1.12 , Y, Z ), coll( skol8( X, Y, Z, T ), X, Y ) }.
% 0.72/1.12 { ! cong( T, Z, T, U ), ! perp( X, Y, Y, T ), cong( T, Z, T, skol9( W, V0,
% 0.72/1.12 Z, T ) ) }.
% 0.72/1.12 { ! cong( T, Z, T, U ), ! perp( X, Y, Y, T ), cong( Y, Z, Y, skol9( W, Y, Z
% 0.72/1.12 , T ) ) }.
% 0.72/1.12 { ! cong( T, Z, T, U ), ! perp( X, Y, Y, T ), para( skol9( X, Y, Z, T ), Z
% 0.72/1.12 , X, Y ) }.
% 0.72/1.12 { ! perp( X, T, Y, Z ), ! perp( Y, T, X, Z ), coll( skol10( U, Y, Z ), Z, Y
% 0.72/1.12 ) }.
% 0.72/1.12 { ! perp( X, T, Y, Z ), ! perp( Y, T, X, Z ), perp( X, skol10( X, Y, Z ), Z
% 0.72/1.12 , Y ) }.
% 0.72/1.12 { ! perp( X, T, Y, Z ), ! perp( Y, T, X, Z ), alpha1( X, Y, Z ) }.
% 0.72/1.12 { ! alpha1( X, Y, Z ), coll( skol11( X, T, Z ), Z, X ) }.
% 0.72/1.12 { ! alpha1( X, Y, Z ), perp( Y, skol11( X, Y, Z ), Z, X ) }.
% 0.72/1.12 { ! coll( T, Z, X ), ! perp( Y, T, Z, X ), alpha1( X, Y, Z ) }.
% 0.72/1.12 { ! circle( Y, X, Z, T ), perp( skol12( X, Y ), X, X, Y ) }.
% 3.82/4.21 { ! circle( W, X, Y, Z ), ! cong( W, X, W, T ), ! cong( U, X, U, Y ), W = U
% 3.82/4.21 , alpha2( X, Z, U, skol13( X, V0, Z, V1, U ) ) }.
% 3.82/4.21 { ! circle( W, X, Y, Z ), ! cong( W, X, W, T ), ! cong( U, X, U, Y ), W = U
% 3.82/4.21 , coll( skol21( V0, Y, T, V1 ), Y, T ) }.
% 3.82/4.21 { ! circle( W, X, Y, Z ), ! cong( W, X, W, T ), ! cong( U, X, U, Y ), W = U
% 3.82/4.21 , cong( skol21( X, Y, T, U ), U, U, X ) }.
% 3.82/4.21 { ! alpha2( X, Y, Z, T ), coll( T, X, Y ) }.
% 3.82/4.21 { ! alpha2( X, Y, Z, T ), cong( T, Z, Z, X ) }.
% 3.82/4.21 { ! coll( T, X, Y ), ! cong( T, Z, Z, X ), alpha2( X, Y, Z, T ) }.
% 3.82/4.21 { ! cyclic( X, Y, Z, T ), ! para( X, Y, Z, T ), ! midp( U, X, Y ), circle(
% 3.82/4.21 skol14( X, Y, Z ), X, Y, Z ) }.
% 3.82/4.21 { ! perp( X, Z, Z, Y ), ! cyclic( X, Y, Z, T ), circle( skol15( X, Y, Z ),
% 3.82/4.21 X, Y, Z ) }.
% 3.82/4.21 { ! perp( X, U, U, T ), ! coll( T, Y, Z ), coll( skol16( W, Y, Z ), Y, Z )
% 3.82/4.21 }.
% 3.82/4.21 { ! perp( X, U, U, T ), ! coll( T, Y, Z ), perp( skol16( X, Y, Z ), X, Y, Z
% 3.82/4.21 ) }.
% 3.82/4.21 { ! perp( X, Z, X, Y ), ! perp( Y, X, Y, T ), ! midp( U, Z, T ), midp(
% 3.82/4.21 skol17( X, Y ), X, Y ) }.
% 3.82/4.21 { ! cong( Y, X, Y, Z ), ! perp( X, Y, Y, Z ), coll( X, Y, skol18( X, Y ) )
% 3.82/4.21 }.
% 3.82/4.21 { ! cong( Y, X, Y, Z ), ! perp( X, Y, Y, Z ), cong( Y, X, Y, skol18( X, Y )
% 3.82/4.21 ) }.
% 3.82/4.21 { ! para( U, W, X, Y ), ! coll( Z, U, X ), ! coll( Z, W, Y ), ! coll( T, U
% 3.82/4.21 , W ), coll( Z, T, skol19( V0, V1, Z, T ) ) }.
% 3.82/4.21 { ! para( U, W, X, Y ), ! coll( Z, U, X ), ! coll( Z, W, Y ), ! coll( T, U
% 3.82/4.21 , W ), coll( skol19( X, Y, Z, T ), X, Y ) }.
% 3.82/4.21 { circle( skol27, skol20, skol25, skol26 ) }.
% 3.82/4.21 { circle( skol27, skol20, skol22, skol28 ) }.
% 3.82/4.21 { perp( skol20, skol25, skol22, skol23 ) }.
% 3.82/4.21 { perp( skol20, skol22, skol25, skol23 ) }.
% 3.82/4.21 { perp( skol25, skol22, skol20, skol23 ) }.
% 3.82/4.21 { perp( skol20, skol26, skol22, skol24 ) }.
% 3.82/4.21 { perp( skol20, skol22, skol26, skol24 ) }.
% 3.82/4.21 { perp( skol26, skol22, skol20, skol24 ) }.
% 3.82/4.21 { ! cyclic( skol20, skol23, skol22, skol24 ) }.
% 3.82/4.21
% 3.82/4.21 percentage equality = 0.008746, percentage horn = 0.928000
% 3.82/4.21 This is a problem with some equality
% 3.82/4.21
% 3.82/4.21
% 3.82/4.21
% 3.82/4.21 Options Used:
% 3.82/4.21
% 3.82/4.21 useres = 1
% 3.82/4.21 useparamod = 1
% 3.82/4.21 useeqrefl = 1
% 3.82/4.21 useeqfact = 1
% 3.82/4.21 usefactor = 1
% 3.82/4.21 usesimpsplitting = 0
% 3.82/4.21 usesimpdemod = 5
% 3.82/4.21 usesimpres = 3
% 3.82/4.21
% 3.82/4.21 resimpinuse = 1000
% 3.82/4.21 resimpclauses = 20000
% 3.82/4.21 substype = eqrewr
% 3.82/4.21 backwardsubs = 1
% 3.82/4.21 selectoldest = 5
% 3.82/4.21
% 3.82/4.21 litorderings [0] = split
% 3.82/4.21 litorderings [1] = extend the termordering, first sorting on arguments
% 3.82/4.21
% 3.82/4.21 termordering = kbo
% 3.82/4.21
% 3.82/4.21 litapriori = 0
% 3.82/4.21 termapriori = 1
% 3.82/4.21 litaposteriori = 0
% 3.82/4.21 termaposteriori = 0
% 3.82/4.21 demodaposteriori = 0
% 3.82/4.21 ordereqreflfact = 0
% 3.82/4.21
% 3.82/4.21 litselect = negord
% 3.82/4.21
% 3.82/4.21 maxweight = 15
% 3.82/4.21 maxdepth = 30000
% 3.82/4.21 maxlength = 115
% 3.82/4.21 maxnrvars = 195
% 3.82/4.21 excuselevel = 1
% 3.82/4.21 increasemaxweight = 1
% 3.82/4.21
% 3.82/4.21 maxselected = 10000000
% 3.82/4.21 maxnrclauses = 10000000
% 3.82/4.21
% 3.82/4.21 showgenerated = 0
% 3.82/4.21 showkept = 0
% 3.82/4.21 showselected = 0
% 3.82/4.21 showdeleted = 0
% 3.82/4.21 showresimp = 1
% 3.82/4.21 showstatus = 2000
% 3.82/4.21
% 3.82/4.21 prologoutput = 0
% 3.82/4.21 nrgoals = 5000000
% 3.82/4.21 totalproof = 1
% 3.82/4.21
% 3.82/4.21 Symbols occurring in the translation:
% 3.82/4.21
% 3.82/4.21 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 3.82/4.21 . [1, 2] (w:1, o:38, a:1, s:1, b:0),
% 3.82/4.21 ! [4, 1] (w:0, o:33, a:1, s:1, b:0),
% 3.82/4.21 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 3.82/4.21 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 3.82/4.21 coll [38, 3] (w:1, o:66, a:1, s:1, b:0),
% 3.82/4.21 para [40, 4] (w:1, o:74, a:1, s:1, b:0),
% 3.82/4.21 perp [43, 4] (w:1, o:75, a:1, s:1, b:0),
% 3.82/4.21 midp [45, 3] (w:1, o:67, a:1, s:1, b:0),
% 3.82/4.21 cong [47, 4] (w:1, o:76, a:1, s:1, b:0),
% 3.82/4.21 circle [48, 4] (w:1, o:77, a:1, s:1, b:0),
% 3.82/4.21 cyclic [49, 4] (w:1, o:78, a:1, s:1, b:0),
% 3.82/4.21 eqangle [54, 8] (w:1, o:93, a:1, s:1, b:0),
% 3.82/4.21 eqratio [57, 8] (w:1, o:94, a:1, s:1, b:0),
% 3.82/4.21 simtri [59, 6] (w:1, o:90, a:1, s:1, b:0),
% 3.82/4.21 contri [60, 6] (w:1, o:91, a:1, s:1, b:0),
% 3.82/4.21 alpha1 [65, 3] (w:1, o:68, a:1, s:1, b:1),
% 3.82/4.21 alpha2 [66, 4] (w:1, o:79, a:1, s:1, b:1),
% 3.82/4.21 skol1 [67, 4] (w:1, o:80, a:1, s:1, b:1),
% 3.82/4.21 skol2 [68, 4] (w:1, o:82, a:1, s:1, b:1),
% 3.82/4.21 skol3 [69, 4] (w:1, o:84, a:1, s:1, b:1),
% 3.82/4.21 skol4 [70, 4] (w:1, o:85, a:1, s:1, b:1),
% 3.82/4.21 skol5 [71, 4] (w:1, o:86, a:1, s:1, b:1),
% 3.82/4.21 skol6 [72, 6] (w:1, o:92, a:1, s:1, b:1),
% 20.23/20.57 skol7 [73, 2] (w:1, o:62, a:1, s:1, b:1),
% 20.23/20.57 skol8 [74, 4] (w:1, o:87, a:1, s:1, b:1),
% 20.23/20.57 skol9 [75, 4] (w:1, o:88, a:1, s:1, b:1),
% 20.23/20.57 skol10 [76, 3] (w:1, o:69, a:1, s:1, b:1),
% 20.23/20.57 skol11 [77, 3] (w:1, o:70, a:1, s:1, b:1),
% 20.23/20.57 skol12 [78, 2] (w:1, o:63, a:1, s:1, b:1),
% 20.23/20.57 skol13 [79, 5] (w:1, o:89, a:1, s:1, b:1),
% 20.23/20.57 skol14 [80, 3] (w:1, o:71, a:1, s:1, b:1),
% 20.23/20.57 skol15 [81, 3] (w:1, o:72, a:1, s:1, b:1),
% 20.23/20.57 skol16 [82, 3] (w:1, o:73, a:1, s:1, b:1),
% 20.23/20.57 skol17 [83, 2] (w:1, o:64, a:1, s:1, b:1),
% 20.23/20.57 skol18 [84, 2] (w:1, o:65, a:1, s:1, b:1),
% 20.23/20.57 skol19 [85, 4] (w:1, o:81, a:1, s:1, b:1),
% 20.23/20.57 skol20 [86, 0] (w:1, o:25, a:1, s:1, b:1),
% 20.23/20.57 skol21 [87, 4] (w:1, o:83, a:1, s:1, b:1),
% 20.23/20.57 skol22 [88, 0] (w:1, o:26, a:1, s:1, b:1),
% 20.23/20.57 skol23 [89, 0] (w:1, o:27, a:1, s:1, b:1),
% 20.23/20.57 skol24 [90, 0] (w:1, o:28, a:1, s:1, b:1),
% 20.23/20.57 skol25 [91, 0] (w:1, o:29, a:1, s:1, b:1),
% 20.23/20.57 skol26 [92, 0] (w:1, o:30, a:1, s:1, b:1),
% 20.23/20.57 skol27 [93, 0] (w:1, o:31, a:1, s:1, b:1),
% 20.23/20.57 skol28 [94, 0] (w:1, o:32, a:1, s:1, b:1).
% 20.23/20.57
% 20.23/20.57
% 20.23/20.57 Starting Search:
% 20.23/20.57
% 20.23/20.57 *** allocated 15000 integers for clauses
% 20.23/20.57 *** allocated 22500 integers for clauses
% 20.23/20.57 *** allocated 33750 integers for clauses
% 20.23/20.57 *** allocated 22500 integers for termspace/termends
% 20.23/20.57 *** allocated 50625 integers for clauses
% 20.23/20.57 Resimplifying inuse:
% 20.23/20.57 Done
% 20.23/20.57
% 20.23/20.57 *** allocated 75937 integers for clauses
% 20.23/20.57 *** allocated 33750 integers for termspace/termends
% 20.23/20.57 *** allocated 113905 integers for clauses
% 20.23/20.57 *** allocated 50625 integers for termspace/termends
% 20.23/20.57
% 20.23/20.57 Intermediate Status:
% 20.23/20.57 Generated: 8718
% 20.23/20.57 Kept: 2036
% 20.23/20.57 Inuse: 321
% 20.23/20.57 Deleted: 0
% 20.23/20.57 Deletedinuse: 0
% 20.23/20.57
% 20.23/20.57 Resimplifying inuse:
% 20.23/20.57 Done
% 20.23/20.57
% 20.23/20.57 *** allocated 170857 integers for clauses
% 20.23/20.57 *** allocated 75937 integers for termspace/termends
% 20.23/20.57 Resimplifying inuse:
% 20.23/20.57 Done
% 20.23/20.57
% 20.23/20.57 *** allocated 113905 integers for termspace/termends
% 20.23/20.57 *** allocated 256285 integers for clauses
% 20.23/20.57
% 20.23/20.57 Intermediate Status:
% 20.23/20.57 Generated: 18727
% 20.23/20.57 Kept: 4053
% 20.23/20.57 Inuse: 460
% 20.23/20.57 Deleted: 1
% 20.23/20.57 Deletedinuse: 0
% 20.23/20.57
% 20.23/20.57 Resimplifying inuse:
% 20.23/20.57 Done
% 20.23/20.57
% 20.23/20.57 *** allocated 170857 integers for termspace/termends
% 20.23/20.57 Resimplifying inuse:
% 20.23/20.57 Done
% 20.23/20.57
% 20.23/20.57 *** allocated 384427 integers for clauses
% 20.23/20.57
% 20.23/20.57 Intermediate Status:
% 20.23/20.57 Generated: 27909
% 20.23/20.57 Kept: 6126
% 20.23/20.57 Inuse: 555
% 20.23/20.57 Deleted: 15
% 20.23/20.57 Deletedinuse: 14
% 20.23/20.57
% 20.23/20.57 Resimplifying inuse:
% 20.23/20.57 Done
% 20.23/20.57
% 20.23/20.57 Resimplifying inuse:
% 20.23/20.57 Done
% 20.23/20.57
% 20.23/20.57 *** allocated 576640 integers for clauses
% 20.23/20.57 *** allocated 256285 integers for termspace/termends
% 20.23/20.57
% 20.23/20.57 Intermediate Status:
% 20.23/20.57 Generated: 50499
% 20.23/20.57 Kept: 8252
% 20.23/20.57 Inuse: 733
% 20.23/20.57 Deleted: 18
% 20.23/20.57 Deletedinuse: 15
% 20.23/20.57
% 20.23/20.57 Resimplifying inuse:
% 20.23/20.57 Done
% 20.23/20.57
% 20.23/20.57 Resimplifying inuse:
% 20.23/20.57 Done
% 20.23/20.57
% 20.23/20.57
% 20.23/20.57 Intermediate Status:
% 20.23/20.57 Generated: 59743
% 20.23/20.57 Kept: 10253
% 20.23/20.57 Inuse: 780
% 20.23/20.57 Deleted: 22
% 20.23/20.57 Deletedinuse: 17
% 20.23/20.57
% 20.23/20.57 Resimplifying inuse:
% 20.23/20.57 Done
% 20.23/20.57
% 20.23/20.57 Resimplifying inuse:
% 20.23/20.57 Done
% 20.23/20.57
% 20.23/20.57
% 20.23/20.57 Intermediate Status:
% 20.23/20.57 Generated: 73626
% 20.23/20.57 Kept: 12264
% 20.23/20.57 Inuse: 862
% 20.23/20.57 Deleted: 29
% 20.23/20.57 Deletedinuse: 17
% 20.23/20.57
% 20.23/20.57 Resimplifying inuse:
% 20.23/20.57 Done
% 20.23/20.57
% 20.23/20.57 *** allocated 864960 integers for clauses
% 20.23/20.57 Resimplifying inuse:
% 20.23/20.57 Done
% 20.23/20.57
% 20.23/20.57
% 20.23/20.57 Intermediate Status:
% 20.23/20.57 Generated: 82165
% 20.23/20.57 Kept: 14280
% 20.23/20.57 Inuse: 915
% 20.23/20.58 Deleted: 96
% 20.23/20.58 Deletedinuse: 83
% 20.23/20.58
% 20.23/20.58 Resimplifying inuse:
% 20.23/20.58 Done
% 20.23/20.58
% 20.23/20.58 *** allocated 384427 integers for termspace/termends
% 20.23/20.58 Resimplifying inuse:
% 20.23/20.58 Done
% 20.23/20.58
% 20.23/20.58
% 20.23/20.58 Intermediate Status:
% 20.23/20.58 Generated: 92180
% 20.23/20.58 Kept: 16334
% 20.23/20.58 Inuse: 1008
% 20.23/20.58 Deleted: 104
% 20.23/20.58 Deletedinuse: 91
% 20.23/20.58
% 20.23/20.58 Resimplifying inuse:
% 20.23/20.58 Done
% 20.23/20.58
% 20.23/20.58 Resimplifying inuse:
% 20.23/20.58 Done
% 20.23/20.58
% 20.23/20.58
% 20.23/20.58 Intermediate Status:
% 20.23/20.58 Generated: 103383
% 20.23/20.58 Kept: 18337
% 20.23/20.58 Inuse: 1109
% 20.23/20.58 Deleted: 106
% 20.23/20.58 Deletedinuse: 91
% 20.23/20.58
% 20.23/20.58 Resimplifying inuse:
% 20.23/20.58 Done
% 20.23/20.58
% 20.23/20.58 *** allocated 1297440 integers for clauses
% 20.23/20.58 Resimplifying inuse:
% 20.23/20.58 Done
% 20.23/20.58
% 20.23/20.58 Resimplifying clauses:
% 20.23/20.58 Done
% 20.23/20.58
% 20.23/20.58
% 20.23/20.58 Intermediate Status:
% 20.23/20.58 Generated: 113970
% 20.23/20.58 Kept: 20344
% 20.23/20.58 Inuse: 1195
% 20.23/20.58 Deleted: 1235
% 20.23/20.58 Deletedinuse: 91
% 20.23/20.58
% 20.23/20.58 Resimplifying inuse:
% 20.23/20.58 Done
% 20.23/20.58
% 20.23/20.58 Resimplifying inuse:
% 20.23/20.58 Done
% 20.23/20.58
% 20.23/20.58
% 20.23/20.58 Intermediate Status:
% 20.23/20.58 Generated: 123771
% 20.23/20.58 Kept: 22352
% 20.23/20.58 Inuse: 1270
% 20.23/20.58 Deleted: 1235
% 20.23/20.58 Deletedinuse: 91
% 20.23/20.58
% 20.23/20.58 Resimplifying inuse:
% 20.23/20.58 Done
% 20.23/20.58
% 20.23/20.58 Resimplifying inuse:
% 20.23/20.58 Done
% 20.23/20.58
% 20.23/20.58
% 20.23/20.58 Intermediate Status:
% 20.23/20.58 Generated: 133254
% 20.23/20.58 Kept: 24417
% 20.23/20.58 Inuse: 1351
% 20.23/20.58 Deleted: 1235
% 20.23/20.58 Deletedinuse: 91
% 23.24/23.61
% 23.24/23.61 *** allocated 576640 integers for termspace/termends
% 23.24/23.61 Resimplifying inuse:
% 23.24/23.61 Done
% 23.24/23.61
% 23.24/23.61 Resimplifying inuse:
% 23.24/23.61 Done
% 23.24/23.61
% 23.24/23.61
% 23.24/23.61 Intermediate Status:
% 23.24/23.61 Generated: 142935
% 23.24/23.61 Kept: 26437
% 23.24/23.61 Inuse: 1431
% 23.24/23.61 Deleted: 1235
% 23.24/23.61 Deletedinuse: 91
% 23.24/23.61
% 23.24/23.61 Resimplifying inuse:
% 23.24/23.61 Done
% 23.24/23.61
% 23.24/23.61 Resimplifying inuse:
% 23.24/23.61 Done
% 23.24/23.61
% 23.24/23.61
% 23.24/23.61 Intermediate Status:
% 23.24/23.61 Generated: 153057
% 23.24/23.61 Kept: 28445
% 23.24/23.61 Inuse: 1508
% 23.24/23.61 Deleted: 1235
% 23.24/23.61 Deletedinuse: 91
% 23.24/23.61
% 23.24/23.61 *** allocated 1946160 integers for clauses
% 23.24/23.61 Resimplifying inuse:
% 23.24/23.61 Done
% 23.24/23.61
% 23.24/23.61 Resimplifying inuse:
% 23.24/23.61 Done
% 23.24/23.61
% 23.24/23.61
% 23.24/23.61 Intermediate Status:
% 23.24/23.61 Generated: 162463
% 23.24/23.61 Kept: 30464
% 23.24/23.61 Inuse: 1578
% 23.24/23.61 Deleted: 1235
% 23.24/23.61 Deletedinuse: 91
% 23.24/23.61
% 23.24/23.61 Resimplifying inuse:
% 23.24/23.61 Done
% 23.24/23.61
% 23.24/23.61 Resimplifying inuse:
% 23.24/23.61 Done
% 23.24/23.61
% 23.24/23.61
% 23.24/23.61 Intermediate Status:
% 23.24/23.61 Generated: 174769
% 23.24/23.61 Kept: 32476
% 23.24/23.61 Inuse: 1686
% 23.24/23.61 Deleted: 1235
% 23.24/23.61 Deletedinuse: 91
% 23.24/23.61
% 23.24/23.61 Resimplifying inuse:
% 23.24/23.61 Done
% 23.24/23.61
% 23.24/23.61 Resimplifying inuse:
% 23.24/23.61 Done
% 23.24/23.61
% 23.24/23.61
% 23.24/23.61 Intermediate Status:
% 23.24/23.61 Generated: 187846
% 23.24/23.61 Kept: 34490
% 23.24/23.61 Inuse: 1797
% 23.24/23.61 Deleted: 1236
% 23.24/23.61 Deletedinuse: 91
% 23.24/23.61
% 23.24/23.61 Resimplifying inuse:
% 23.24/23.61 Done
% 23.24/23.61
% 23.24/23.61 Resimplifying inuse:
% 23.24/23.61 Done
% 23.24/23.61
% 23.24/23.61
% 23.24/23.61 Intermediate Status:
% 23.24/23.61 Generated: 197810
% 23.24/23.61 Kept: 36604
% 23.24/23.61 Inuse: 1875
% 23.24/23.61 Deleted: 1236
% 23.24/23.61 Deletedinuse: 91
% 23.24/23.61
% 23.24/23.61 Resimplifying inuse:
% 23.24/23.61 Done
% 23.24/23.61
% 23.24/23.61 Resimplifying inuse:
% 23.24/23.61 Done
% 23.24/23.61
% 23.24/23.61
% 23.24/23.61 Intermediate Status:
% 23.24/23.61 Generated: 209648
% 23.24/23.61 Kept: 38632
% 23.24/23.61 Inuse: 1971
% 23.24/23.61 Deleted: 1236
% 23.24/23.61 Deletedinuse: 91
% 23.24/23.61
% 23.24/23.61 *** allocated 864960 integers for termspace/termends
% 23.24/23.61 Resimplifying inuse:
% 23.24/23.61 Done
% 23.24/23.61
% 23.24/23.61 Resimplifying clauses:
% 23.24/23.61 Done
% 23.24/23.61
% 23.24/23.61 Resimplifying inuse:
% 23.24/23.61 Done
% 23.24/23.61
% 23.24/23.61
% 23.24/23.61 Intermediate Status:
% 23.24/23.61 Generated: 219405
% 23.24/23.61 Kept: 40659
% 23.24/23.61 Inuse: 2043
% 23.24/23.61 Deleted: 1392
% 23.24/23.61 Deletedinuse: 91
% 23.24/23.61
% 23.24/23.61 Resimplifying inuse:
% 23.24/23.61 Done
% 23.24/23.61
% 23.24/23.61 Resimplifying inuse:
% 23.24/23.61 Done
% 23.24/23.61
% 23.24/23.61
% 23.24/23.61 Intermediate Status:
% 23.24/23.61 Generated: 230490
% 23.24/23.61 Kept: 42851
% 23.24/23.61 Inuse: 2105
% 23.24/23.61 Deleted: 1395
% 23.24/23.61 Deletedinuse: 94
% 23.24/23.61
% 23.24/23.61 Resimplifying inuse:
% 23.24/23.61 Done
% 23.24/23.61
% 23.24/23.61
% 23.24/23.61 Intermediate Status:
% 23.24/23.61 Generated: 240632
% 23.24/23.61 Kept: 45522
% 23.24/23.61 Inuse: 2160
% 23.24/23.61 Deleted: 1396
% 23.24/23.61 Deletedinuse: 95
% 23.24/23.61
% 23.24/23.61 Resimplifying inuse:
% 23.24/23.61 Done
% 23.24/23.61
% 23.24/23.61 Resimplifying inuse:
% 23.24/23.61 Done
% 23.24/23.61
% 23.24/23.61 *** allocated 2919240 integers for clauses
% 23.24/23.61
% 23.24/23.61 Intermediate Status:
% 23.24/23.61 Generated: 254125
% 23.24/23.61 Kept: 47538
% 23.24/23.61 Inuse: 2193
% 23.24/23.61 Deleted: 1400
% 23.24/23.61 Deletedinuse: 99
% 23.24/23.61
% 23.24/23.61 Resimplifying inuse:
% 23.24/23.61 Done
% 23.24/23.61
% 23.24/23.61 Resimplifying inuse:
% 23.24/23.61 Done
% 23.24/23.61
% 23.24/23.61
% 23.24/23.61 Intermediate Status:
% 23.24/23.61 Generated: 264922
% 23.24/23.61 Kept: 49633
% 23.24/23.61 Inuse: 2265
% 23.24/23.61 Deleted: 1404
% 23.24/23.61 Deletedinuse: 103
% 23.24/23.61
% 23.24/23.61 Resimplifying inuse:
% 23.24/23.61 Done
% 23.24/23.61
% 23.24/23.61 Resimplifying inuse:
% 23.24/23.61 Done
% 23.24/23.61
% 23.24/23.61
% 23.24/23.61 Intermediate Status:
% 23.24/23.61 Generated: 279100
% 23.24/23.61 Kept: 51931
% 23.24/23.61 Inuse: 2323
% 23.24/23.61 Deleted: 1418
% 23.24/23.61 Deletedinuse: 115
% 23.24/23.61
% 23.24/23.61 Resimplifying inuse:
% 23.24/23.61 Done
% 23.24/23.61
% 23.24/23.61 Resimplifying inuse:
% 23.24/23.61 Done
% 23.24/23.61
% 23.24/23.61
% 23.24/23.61 Intermediate Status:
% 23.24/23.61 Generated: 290682
% 23.24/23.61 Kept: 54001
% 23.24/23.61 Inuse: 2439
% 23.24/23.61 Deleted: 1433
% 23.24/23.61 Deletedinuse: 121
% 23.24/23.61
% 23.24/23.61 Resimplifying inuse:
% 23.24/23.61 Done
% 23.24/23.61
% 23.24/23.61 Resimplifying inuse:
% 23.24/23.61 Done
% 23.24/23.61
% 23.24/23.61
% 23.24/23.61 Intermediate Status:
% 23.24/23.61 Generated: 299007
% 23.24/23.61 Kept: 56010
% 23.24/23.61 Inuse: 2503
% 23.24/23.61 Deleted: 1439
% 23.24/23.61 Deletedinuse: 123
% 23.24/23.61
% 23.24/23.61 Resimplifying inuse:
% 23.24/23.61 Done
% 23.24/23.61
% 23.24/23.61 Resimplifying inuse:
% 23.24/23.61 Done
% 23.24/23.61
% 23.24/23.61
% 23.24/23.61 Intermediate Status:
% 23.24/23.61 Generated: 309218
% 23.24/23.61 Kept: 58011
% 23.24/23.61 Inuse: 2596
% 23.24/23.61 Deleted: 1448
% 23.24/23.61 Deletedinuse: 127
% 23.24/23.61
% 23.24/23.61 Resimplifying inuse:
% 23.24/23.61 Done
% 23.24/23.61
% 23.24/23.61 Resimplifying inuse:
% 23.24/23.61 Done
% 23.24/23.61
% 23.24/23.61
% 23.24/23.61 Intermediate Status:
% 23.24/23.61 Generated: 321255
% 23.24/23.61 Kept: 60021
% 23.24/23.61 Inuse: 2725
% 23.24/23.61 Deleted: 1457
% 23.24/23.61 Deletedinuse: 128
% 23.24/23.61
% 23.24/23.61 Resimplifying clauses:
% 23.24/23.61 Done
% 23.24/23.61
% 23.24/23.61 Resimplifying inuse:
% 23.24/23.61 Done
% 23.24/23.61
% 23.24/23.61 *** allocated 1297440 integers for termspace/termends
% 23.24/23.61 Resimplifying inuse:
% 23.24/23.61 Done
% 23.24/23.61
% 23.24/23.61
% 23.24/23.61 Intermediate Status:
% 23.24/23.61 Generated: 333803
% 23.24/23.61 Kept: 62021
% 23.24/23.61 Inuse: 2838
% 23.24/23.61 Deleted: 8318
% 23.24/23.61 Deletedinuse: 128
% 23.24/23.61
% 23.24/23.61 Resimplifying inuse:
% 23.24/23.61 Done
% 23.24/23.61
% 23.24/23.61 Resimplifying inuse:
% 23.24/23.61 Done
% 23.24/23.61
% 23.24/23.61
% 23.24/23.61 Intermediate Status:
% 23.24/23.61 Generated: 345890
% 23.24/23.61 Kept: 64033
% 23.24/23.61 Inuse: 2925
% 23.24/23.61 Deleted: 8326
% 23.24/23.61 Deletedinuse: 136
% 23.24/23.61
% 23.24/23.61 Resimplifying inuse:
% 23.24/23.61 Done
% 23.24/23.61
% 23.24/23.61 Resimplifying inuse:
% 23.24/23.61 Done
% 23.24/23.61
% 23.24/23.61
% 23.24/23.61 Intermediate Status:
% 23.24/23.61 Generated: 361416
% 23.24/23.61 Kept: 66205
% 23.24/23.61 Inuse: 3031
% 23.24/23.61 Deleted: 8328
% 23.24/23.61 Deletedinuse: 137
% 23.24/23.61
% 23.24/23.61 Resimplifying inuse:
% 23.24/23.61 Done
% 23.24/23.61
% 23.24/23.61
% 23.24/23.61 Intermediate Status:
% 23.24/23.61 Generated: 367068
% 23.24/23.61 Kept: 68722
% 23.24/23.61 Inuse: 3041
% 23.24/23.61 Deleted: 8328
% 23.24/23.61 Deletedinuse: 137
% 23.24/23.61
% 23.24/23.61 Resimplifying inuse:
% 23.24/23.61 Done
% 23.24/23.61
% 23.24/23.61 Resimplifying inuse:
% 23.24/23.61 Done
% 23.24/23.61
% 23.24/23.61
% 23.24/23.61 Intermediate Status:
% 23.24/23.61 Generated: 383412
% 23.24/23.61 Kept: 70743
% 23.24/23.61 Inuse: 3177
% 23.24/23.61 Deleted: 8350
% 23.24/23.61 Deletedinuse: 143
% 23.24/23.61
% 23.24/23.61 Resimplifying inuse:
% 23.24/23.61 Done
% 23.24/23.61
% 23.24/23.61 *** allocated 4378860 integers for clauses
% 23.24/23.61 Resimplifying inuse:
% 23.24/23.61 Done
% 23.24/23.61
% 23.24/23.61
% 23.24/23.61 Intermediate Status:
% 23.24/23.61 Generated: 397890
% 23.24/23.61 Kept: 73020
% 23.24/23.61 Inuse: 3228
% 23.24/23.61 Deleted: 8352
% 23.24/23.61 Deletedinuse: 143
% 23.24/23.61
% 23.24/23.61 Resimplifying inuse:
% 23.24/23.61 Done
% 23.24/23.61
% 23.24/23.61 Resimplifying inuse:
% 23.24/23.61 Done
% 23.24/23.61
% 23.24/23.61
% 23.24/23.61 Intermediate Status:
% 23.24/23.61 Generated: 406620
% 23.24/23.61 Kept: 75541
% 23.24/23.61 Inuse: 3258
% 23.24/23.61 Deleted: 8356
% 23.24/23.61 Deletedinuse: 147
% 23.24/23.61
% 23.24/23.61 Resimplifying inuse:
% 23.24/23.61 Done
% 23.24/23.61
% 23.24/23.61 Resimplifying inuse:
% 23.24/23.61 Done
% 23.24/23.61
% 23.24/23.61
% 23.24/23.61 Intermediate Status:
% 23.24/23.61 Generated: 444620
% 23.24/23.61 Kept: 77547
% 23.24/23.61 Inuse: 3299
% 23.24/23.61 Deleted: 8361
% 23.24/23.61 Deletedinuse: 151
% 23.24/23.61
% 23.24/23.61 Resimplifying inuse:
% 23.24/23.61 Done
% 23.24/23.61
% 23.24/23.61
% 23.24/23.61 Bliksems!, er is een bewijs:
% 23.24/23.61 % SZS status Theorem
% 23.24/23.61 % SZS output start Refutation
% 23.24/23.61
% 23.24/23.61 (0) {G0,W8,D2,L2,V3,M2} I { ! coll( X, Y, Z ), coll( X, Z, Y ) }.
% 23.24/23.61 (1) {G0,W8,D2,L2,V3,M2} I { ! coll( X, Y, Z ), coll( Y, X, Z ) }.
% 23.24/23.61 (2) {G0,W12,D2,L3,V4,M3} I { ! coll( X, T, Y ), ! coll( X, T, Z ), coll( Y
% 23.24/23.61 , Z, X ) }.
% 23.24/23.61 (3) {G0,W10,D2,L2,V4,M2} I { ! para( X, Y, Z, T ), para( X, Y, T, Z ) }.
% 23.24/23.61 (4) {G0,W10,D2,L2,V4,M2} I { ! para( X, Y, Z, T ), para( Z, T, X, Y ) }.
% 23.24/23.61 (5) {G0,W15,D2,L3,V6,M3} I { ! para( X, Y, U, W ), ! para( U, W, Z, T ),
% 23.24/23.61 para( X, Y, Z, T ) }.
% 23.24/23.61 (6) {G0,W10,D2,L2,V4,M2} I { ! perp( X, Y, Z, T ), perp( X, Y, T, Z ) }.
% 23.24/23.61 (7) {G0,W10,D2,L2,V4,M2} I { ! perp( X, Y, Z, T ), perp( Z, T, X, Y ) }.
% 23.24/23.61 (8) {G0,W15,D2,L3,V6,M3} I { ! perp( X, Y, U, W ), ! perp( U, W, Z, T ),
% 23.24/23.61 para( X, Y, Z, T ) }.
% 23.24/23.61 (13) {G0,W10,D2,L2,V4,M2} I { ! cyclic( X, Y, Z, T ), cyclic( X, Y, T, Z )
% 23.24/23.61 }.
% 23.24/23.61 (14) {G0,W10,D2,L2,V4,M2} I { ! cyclic( X, Y, Z, T ), cyclic( X, Z, Y, T )
% 23.24/23.61 }.
% 23.24/23.61 (15) {G0,W10,D2,L2,V4,M2} I { ! cyclic( X, Y, Z, T ), cyclic( Y, X, Z, T )
% 23.24/23.61 }.
% 23.24/23.61 (16) {G0,W15,D2,L3,V5,M3} I { ! cyclic( U, X, Y, Z ), ! cyclic( U, X, Y, T
% 23.24/23.61 ), cyclic( X, Y, Z, T ) }.
% 23.24/23.61 (18) {G0,W18,D2,L2,V8,M2} I { ! eqangle( X, Y, Z, T, U, W, V0, V1 ),
% 23.24/23.61 eqangle( Z, T, X, Y, V0, V1, U, W ) }.
% 23.24/23.61 (19) {G0,W18,D2,L2,V8,M2} I { ! eqangle( X, Y, Z, T, U, W, V0, V1 ),
% 23.24/23.61 eqangle( U, W, V0, V1, X, Y, Z, T ) }.
% 23.24/23.61 (39) {G0,W14,D2,L2,V6,M2} I { ! para( X, Y, Z, T ), eqangle( X, Y, U, W, Z
% 23.24/23.61 , T, U, W ) }.
% 23.24/23.61 (42) {G0,W18,D2,L3,V4,M3} I { ! eqangle( Z, X, Z, Y, T, X, T, Y ), ! coll(
% 23.24/23.61 Z, T, Y ), cyclic( X, Y, Z, T ) }.
% 23.24/23.61 (53) {G0,W14,D2,L3,V4,M3} I { ! circle( T, X, Y, Z ), ! coll( T, X, Z ),
% 23.24/23.61 perp( X, Y, Y, Z ) }.
% 23.24/23.61 (66) {G0,W9,D2,L2,V3,M2} I { ! para( X, Y, X, Z ), coll( X, Y, Z ) }.
% 23.24/23.61 (94) {G0,W17,D3,L3,V5,M3} I { ! perp( X, T, Y, Z ), ! perp( Y, T, X, Z ),
% 23.24/23.61 coll( skol10( U, Y, Z ), Z, Y ) }.
% 23.24/23.61 (100) {G0,W12,D3,L2,V4,M2} I { ! circle( Y, X, Z, T ), perp( skol12( X, Y )
% 23.24/23.61 , X, X, Y ) }.
% 23.24/23.61 (116) {G0,W5,D2,L1,V0,M1} I { circle( skol27, skol20, skol25, skol26 ) }.
% 23.24/23.61 (118) {G0,W5,D2,L1,V0,M1} I { perp( skol20, skol25, skol22, skol23 ) }.
% 23.24/23.61 (119) {G0,W5,D2,L1,V0,M1} I { perp( skol20, skol22, skol25, skol23 ) }.
% 23.24/23.61 (121) {G0,W5,D2,L1,V0,M1} I { perp( skol20, skol26, skol22, skol24 ) }.
% 23.24/23.61 (122) {G0,W5,D2,L1,V0,M1} I { perp( skol20, skol22, skol26, skol24 ) }.
% 23.24/23.61 (124) {G0,W5,D2,L1,V0,M1} I { ! cyclic( skol20, skol23, skol22, skol24 )
% 23.24/23.61 }.
% 23.24/23.61 (162) {G1,W8,D2,L2,V3,M2} R(1,0) { coll( X, Y, Z ), ! coll( Y, Z, X ) }.
% 23.24/23.61 (163) {G1,W8,D2,L2,V3,M2} R(1,0) { ! coll( X, Y, Z ), coll( Y, Z, X ) }.
% 23.24/23.61 (164) {G2,W8,D2,L2,V3,M2} R(162,1) { coll( X, Y, Z ), ! coll( Z, Y, X ) }.
% 23.24/23.61 (176) {G2,W12,D2,L3,V4,M3} R(2,163) { ! coll( X, Y, Z ), ! coll( X, Y, T )
% 23.24/23.61 , coll( T, X, Z ) }.
% 23.24/23.61 (187) {G3,W8,D2,L2,V3,M2} F(176) { ! coll( X, Y, Z ), coll( Z, X, Z ) }.
% 23.24/23.61 (194) {G4,W8,D2,L2,V3,M2} R(187,163) { coll( X, Y, X ), ! coll( X, Y, Z )
% 23.24/23.61 }.
% 23.24/23.61 (209) {G1,W10,D2,L2,V4,M2} R(4,3) { ! para( X, Y, Z, T ), para( Z, T, Y, X
% 23.24/23.61 ) }.
% 23.24/23.61 (217) {G1,W15,D2,L3,V6,M3} R(5,4) { ! para( X, Y, Z, T ), para( U, W, Z, T
% 23.24/23.61 ), ! para( X, Y, U, W ) }.
% 23.24/23.61 (223) {G2,W10,D2,L2,V4,M2} F(217) { ! para( X, Y, Z, T ), para( Z, T, Z, T
% 23.24/23.61 ) }.
% 23.24/23.61 (226) {G5,W12,D2,L3,V4,M3} R(194,2) { ! coll( X, Y, Z ), ! coll( X, Y, T )
% 23.24/23.61 , coll( T, X, X ) }.
% 23.24/23.61 (230) {G5,W8,D2,L2,V3,M2} R(194,162) { ! coll( X, Y, Z ), coll( X, X, Y )
% 23.24/23.61 }.
% 23.24/23.61 (231) {G6,W8,D2,L2,V3,M2} F(226) { ! coll( X, Y, Z ), coll( Z, X, X ) }.
% 23.24/23.61 (232) {G7,W8,D2,L2,V3,M2} R(231,163) { coll( X, Y, Y ), ! coll( X, Y, Z )
% 23.24/23.61 }.
% 23.24/23.61 (238) {G8,W8,D2,L2,V3,M2} R(232,163) { ! coll( X, Y, Z ), coll( Y, Y, X )
% 23.24/23.61 }.
% 23.24/23.61 (239) {G1,W5,D2,L1,V0,M1} R(6,118) { perp( skol20, skol25, skol23, skol22 )
% 23.24/23.61 }.
% 23.24/23.61 (240) {G1,W5,D2,L1,V0,M1} R(6,119) { perp( skol20, skol22, skol23, skol25 )
% 23.24/23.61 }.
% 23.24/23.61 (242) {G1,W5,D2,L1,V0,M1} R(6,121) { perp( skol20, skol26, skol24, skol22 )
% 23.24/23.61 }.
% 23.24/23.61 (243) {G1,W5,D2,L1,V0,M1} R(6,122) { perp( skol20, skol22, skol24, skol26 )
% 23.24/23.61 }.
% 23.24/23.61 (245) {G2,W5,D2,L1,V0,M1} R(7,242) { perp( skol24, skol22, skol20, skol26 )
% 23.24/23.61 }.
% 23.24/23.61 (247) {G2,W5,D2,L1,V0,M1} R(7,240) { perp( skol23, skol25, skol20, skol22 )
% 23.24/23.61 }.
% 23.24/23.61 (248) {G2,W5,D2,L1,V0,M1} R(7,239) { perp( skol23, skol22, skol20, skol25 )
% 23.24/23.61 }.
% 23.24/23.61 (251) {G1,W5,D2,L1,V0,M1} R(7,118) { perp( skol22, skol23, skol20, skol25 )
% 23.24/23.61 }.
% 23.24/23.61 (269) {G1,W15,D2,L3,V6,M3} R(8,7) { ! perp( X, Y, Z, T ), para( U, W, Z, T
% 23.24/23.61 ), ! perp( X, Y, U, W ) }.
% 23.24/23.61 (299) {G2,W10,D2,L2,V4,M2} F(269) { ! perp( X, Y, Z, T ), para( Z, T, Z, T
% 23.24/23.61 ) }.
% 23.24/23.61 (347) {G3,W5,D2,L1,V0,M1} R(247,6) { perp( skol23, skol25, skol22, skol20 )
% 23.24/23.61 }.
% 23.24/23.61 (351) {G4,W5,D2,L1,V0,M1} R(347,7) { perp( skol22, skol20, skol23, skol25 )
% 23.24/23.61 }.
% 23.24/23.61 (359) {G5,W5,D2,L1,V0,M1} R(351,6) { perp( skol22, skol20, skol25, skol23 )
% 23.24/23.61 }.
% 23.24/23.61 (363) {G6,W5,D2,L1,V0,M1} R(359,7) { perp( skol25, skol23, skol22, skol20 )
% 23.24/23.61 }.
% 23.24/23.61 (370) {G3,W5,D2,L1,V0,M1} R(248,6) { perp( skol23, skol22, skol25, skol20 )
% 23.24/23.61 }.
% 23.24/23.61 (374) {G4,W5,D2,L1,V0,M1} R(370,7) { perp( skol25, skol20, skol23, skol22 )
% 23.24/23.61 }.
% 23.24/23.61 (378) {G5,W5,D2,L1,V0,M1} R(374,6) { perp( skol25, skol20, skol22, skol23 )
% 23.24/23.61 }.
% 23.24/23.61 (382) {G6,W5,D2,L1,V0,M1} R(378,7) { perp( skol22, skol23, skol25, skol20 )
% 23.24/23.61 }.
% 23.24/23.61 (388) {G2,W10,D2,L2,V2,M2} R(251,8) { ! perp( skol20, skol25, X, Y ), para
% 23.24/23.61 ( skol22, skol23, X, Y ) }.
% 23.24/23.61 (399) {G1,W5,D2,L1,V0,M1} R(13,124) { ! cyclic( skol20, skol23, skol24,
% 23.24/23.61 skol22 ) }.
% 23.24/23.61 (414) {G1,W10,D2,L2,V4,M2} R(14,13) { ! cyclic( X, Y, Z, T ), cyclic( X, Z
% 23.24/23.61 , T, Y ) }.
% 23.24/23.61 (422) {G1,W10,D2,L2,V4,M2} R(15,14) { cyclic( X, Y, Z, T ), ! cyclic( Y, Z
% 23.24/23.61 , X, T ) }.
% 23.24/23.61 (424) {G2,W5,D2,L1,V0,M1} R(15,399) { ! cyclic( skol23, skol20, skol24,
% 23.24/23.61 skol22 ) }.
% 23.24/23.61 (425) {G1,W10,D2,L2,V4,M2} R(15,13) { cyclic( X, Y, Z, T ), ! cyclic( Y, X
% 23.24/23.61 , T, Z ) }.
% 23.24/23.61 (446) {G1,W15,D2,L3,V5,M3} R(16,15) { ! cyclic( X, Y, Z, T ), ! cyclic( X,
% 23.24/23.61 Y, Z, U ), cyclic( Z, Y, T, U ) }.
% 23.24/23.61 (454) {G1,W15,D2,L3,V5,M3} R(16,13) { ! cyclic( X, Y, Z, T ), cyclic( Y, Z
% 23.24/23.61 , T, U ), ! cyclic( X, Y, U, Z ) }.
% 23.24/23.61 (458) {G2,W10,D2,L2,V4,M2} F(446) { ! cyclic( X, Y, Z, T ), cyclic( Z, Y, T
% 23.24/23.61 , T ) }.
% 23.24/23.61 (479) {G3,W10,D2,L2,V1,M2} R(424,16) { ! cyclic( X, skol23, skol20, skol24
% 23.24/23.61 ), ! cyclic( X, skol23, skol20, skol22 ) }.
% 23.24/23.61 (558) {G9,W12,D2,L3,V4,M3} R(238,2) { ! coll( X, Y, Z ), ! coll( Y, Y, T )
% 23.24/23.61 , coll( X, T, Y ) }.
% 23.24/23.61 (598) {G6,W12,D2,L3,V4,M3} R(230,2) { ! coll( X, Y, Z ), ! coll( X, X, T )
% 23.24/23.61 , coll( Y, T, X ) }.
% 23.24/23.61 (756) {G1,W14,D2,L2,V6,M2} R(39,18) { ! para( X, Y, Z, T ), eqangle( U, W,
% 23.24/23.61 X, Y, U, W, Z, T ) }.
% 23.24/23.61 (816) {G1,W9,D2,L2,V3,M2} R(66,4) { coll( X, Y, Z ), ! para( X, Z, X, Y )
% 23.24/23.61 }.
% 23.24/23.61 (913) {G1,W18,D2,L3,V4,M3} R(42,19) { ! coll( X, Y, Z ), cyclic( T, Z, X, Y
% 23.24/23.61 ), ! eqangle( Y, T, Y, Z, X, T, X, Z ) }.
% 23.24/23.61 (1493) {G1,W9,D2,L2,V0,M2} R(53,116) { ! coll( skol27, skol20, skol26 ),
% 23.24/23.61 perp( skol20, skol25, skol25, skol26 ) }.
% 23.24/23.61 (1929) {G2,W9,D2,L2,V3,M2} R(816,3) { coll( X, Y, Z ), ! para( X, Z, Y, X )
% 23.24/23.61 }.
% 23.24/23.61 (1955) {G3,W9,D2,L2,V3,M2} R(1929,4) { coll( X, Y, Z ), ! para( Y, X, X, Z
% 23.24/23.61 ) }.
% 23.24/23.61 (1967) {G4,W9,D2,L2,V3,M2} R(1955,3) { coll( X, Y, Z ), ! para( Y, X, Z, X
% 23.24/23.61 ) }.
% 23.24/23.61 (1983) {G5,W9,D2,L2,V3,M2} R(1967,164) { ! para( X, Y, Z, Y ), coll( Z, X,
% 23.24/23.61 Y ) }.
% 23.24/23.61 (4010) {G3,W7,D3,L1,V1,M1} R(94,243);r(245) { coll( skol10( X, skol20,
% 23.24/23.61 skol26 ), skol26, skol20 ) }.
% 23.24/23.61 (4022) {G7,W7,D3,L1,V1,M1} R(94,382);r(363) { coll( skol10( X, skol25,
% 23.24/23.61 skol20 ), skol20, skol25 ) }.
% 23.24/23.61 (4637) {G1,W7,D3,L1,V0,M1} R(100,116) { perp( skol12( skol20, skol27 ),
% 23.24/23.61 skol20, skol20, skol27 ) }.
% 23.24/23.61 (15799) {G4,W7,D3,L1,V1,M1} R(4010,163) { coll( skol26, skol20, skol10( X,
% 23.24/23.61 skol20, skol26 ) ) }.
% 23.24/23.61 (20988) {G8,W7,D3,L1,V1,M1} R(4022,164) { coll( skol25, skol20, skol10( X,
% 23.24/23.61 skol25, skol20 ) ) }.
% 23.24/23.61 (23632) {G3,W5,D2,L1,V0,M1} R(4637,299) { para( skol20, skol27, skol20,
% 23.24/23.61 skol27 ) }.
% 23.24/23.61 (23670) {G6,W4,D2,L1,V0,M1} R(23632,1983) { coll( skol20, skol20, skol27 )
% 23.24/23.61 }.
% 23.24/23.61 (45772) {G10,W8,D2,L2,V2,M2} R(558,23670) { ! coll( X, skol20, Y ), coll( X
% 23.24/23.61 , skol27, skol20 ) }.
% 23.24/23.61 (45973) {G11,W4,D2,L1,V0,M1} R(45772,20988) { coll( skol25, skol27, skol20
% 23.24/23.61 ) }.
% 23.24/23.61 (45982) {G11,W4,D2,L1,V0,M1} R(45772,15799) { coll( skol26, skol27, skol20
% 23.24/23.61 ) }.
% 23.24/23.61 (47309) {G12,W4,D2,L1,V0,M1} R(45973,1) { coll( skol27, skol25, skol20 )
% 23.24/23.61 }.
% 23.24/23.61 (48270) {G12,W4,D2,L1,V0,M1} R(45982,238) { coll( skol27, skol27, skol26 )
% 23.24/23.61 }.
% 23.24/23.61 (48275) {G12,W4,D2,L1,V0,M1} R(45982,163) { coll( skol27, skol20, skol26 )
% 23.24/23.61 }.
% 23.24/23.61 (51626) {G13,W8,D2,L2,V2,M2} R(598,48270) { ! coll( skol27, X, Y ), coll( X
% 23.24/23.61 , skol26, skol27 ) }.
% 23.24/23.61 (54631) {G14,W4,D2,L1,V0,M1} R(51626,47309) { coll( skol25, skol26, skol27
% 23.24/23.61 ) }.
% 23.24/23.61 (55329) {G15,W4,D2,L1,V0,M1} R(54631,238) { coll( skol26, skol26, skol25 )
% 23.24/23.61 }.
% 23.24/23.61 (60053) {G13,W5,D2,L1,V0,M1} S(1493);r(48275) { perp( skol20, skol25,
% 23.24/23.61 skol25, skol26 ) }.
% 23.24/23.61 (60060) {G14,W5,D2,L1,V0,M1} R(60053,388) { para( skol22, skol23, skol25,
% 23.24/23.61 skol26 ) }.
% 23.24/23.61 (60259) {G15,W5,D2,L1,V0,M1} R(60060,209) { para( skol25, skol26, skol23,
% 23.24/23.61 skol22 ) }.
% 23.24/23.61 (60294) {G16,W5,D2,L1,V0,M1} R(60259,209) { para( skol23, skol22, skol26,
% 23.24/23.61 skol25 ) }.
% 23.24/23.61 (60370) {G17,W5,D2,L1,V0,M1} R(60294,223) { para( skol26, skol25, skol26,
% 23.24/23.61 skol25 ) }.
% 23.24/23.61 (62555) {G18,W9,D2,L1,V2,M1} R(756,60370) { eqangle( X, Y, skol26, skol25,
% 23.24/23.61 X, Y, skol26, skol25 ) }.
% 23.24/23.61 (78059) {G19,W5,D2,L1,V1,M1} R(913,55329);r(62555) { cyclic( X, skol25,
% 23.24/23.61 skol26, skol26 ) }.
% 23.24/23.61 (78219) {G20,W5,D2,L1,V1,M1} R(78059,425) { cyclic( skol25, X, skol26,
% 23.24/23.61 skol26 ) }.
% 23.24/23.61 (78231) {G21,W5,D2,L1,V1,M1} R(78219,458) { cyclic( skol26, X, skol26,
% 23.24/23.61 skol26 ) }.
% 23.24/23.61 (78253) {G22,W5,D2,L1,V1,M1} R(78231,422) { cyclic( skol26, skol26, X,
% 23.24/23.61 skol26 ) }.
% 23.24/23.61 (78254) {G22,W5,D2,L1,V1,M1} R(78231,414) { cyclic( skol26, skol26, skol26
% 23.24/23.61 , X ) }.
% 23.24/23.61 (78259) {G23,W5,D2,L1,V2,M1} R(78253,454);r(78254) { cyclic( skol26, skol26
% 23.24/23.61 , X, Y ) }.
% 23.24/23.61 (78281) {G24,W5,D2,L1,V3,M1} R(78259,454);r(78259) { cyclic( skol26, X, Y,
% 23.24/23.61 Z ) }.
% 23.24/23.61 (78297) {G25,W0,D0,L0,V0,M0} R(78281,479);r(78281) { }.
% 23.24/23.61
% 23.24/23.61
% 23.24/23.61 % SZS output end Refutation
% 23.24/23.61 found a proof!
% 23.24/23.61
% 23.24/23.61
% 23.24/23.61 Unprocessed initial clauses:
% 23.24/23.61
% 23.24/23.61 (78299) {G0,W8,D2,L2,V3,M2} { ! coll( X, Y, Z ), coll( X, Z, Y ) }.
% 23.24/23.61 (78300) {G0,W8,D2,L2,V3,M2} { ! coll( X, Y, Z ), coll( Y, X, Z ) }.
% 23.24/23.61 (78301) {G0,W12,D2,L3,V4,M3} { ! coll( X, T, Y ), ! coll( X, T, Z ), coll
% 23.24/23.61 ( Y, Z, X ) }.
% 23.24/23.61 (78302) {G0,W10,D2,L2,V4,M2} { ! para( X, Y, Z, T ), para( X, Y, T, Z )
% 23.24/23.61 }.
% 23.24/23.61 (78303) {G0,W10,D2,L2,V4,M2} { ! para( X, Y, Z, T ), para( Z, T, X, Y )
% 23.24/23.61 }.
% 23.24/23.61 (78304) {G0,W15,D2,L3,V6,M3} { ! para( X, Y, U, W ), ! para( U, W, Z, T )
% 23.24/23.61 , para( X, Y, Z, T ) }.
% 23.24/23.61 (78305) {G0,W10,D2,L2,V4,M2} { ! perp( X, Y, Z, T ), perp( X, Y, T, Z )
% 23.24/23.61 }.
% 23.24/23.61 (78306) {G0,W10,D2,L2,V4,M2} { ! perp( X, Y, Z, T ), perp( Z, T, X, Y )
% 23.24/23.61 }.
% 23.24/23.61 (78307) {G0,W15,D2,L3,V6,M3} { ! perp( X, Y, U, W ), ! perp( U, W, Z, T )
% 23.24/23.61 , para( X, Y, Z, T ) }.
% 23.24/23.61 (78308) {G0,W15,D2,L3,V6,M3} { ! para( X, Y, U, W ), ! perp( U, W, Z, T )
% 23.24/23.61 , perp( X, Y, Z, T ) }.
% 23.24/23.61 (78309) {G0,W8,D2,L2,V3,M2} { ! midp( Z, Y, X ), midp( Z, X, Y ) }.
% 23.24/23.61 (78310) {G0,W15,D2,L3,V4,M3} { ! cong( T, X, T, Y ), ! cong( T, X, T, Z )
% 23.24/23.61 , circle( T, X, Y, Z ) }.
% 23.24/23.61 (78311) {G0,W20,D2,L4,V5,M4} { ! cong( U, X, U, Y ), ! cong( U, X, U, Z )
% 23.24/23.61 , ! cong( U, X, U, T ), cyclic( X, Y, Z, T ) }.
% 23.24/23.61 (78312) {G0,W10,D2,L2,V4,M2} { ! cyclic( X, Y, Z, T ), cyclic( X, Y, T, Z
% 23.24/23.61 ) }.
% 23.24/23.61 (78313) {G0,W10,D2,L2,V4,M2} { ! cyclic( X, Y, Z, T ), cyclic( X, Z, Y, T
% 23.24/23.61 ) }.
% 23.24/23.61 (78314) {G0,W10,D2,L2,V4,M2} { ! cyclic( X, Y, Z, T ), cyclic( Y, X, Z, T
% 23.24/23.61 ) }.
% 23.24/23.61 (78315) {G0,W15,D2,L3,V5,M3} { ! cyclic( U, X, Y, Z ), ! cyclic( U, X, Y,
% 23.24/23.61 T ), cyclic( X, Y, Z, T ) }.
% 23.24/23.61 (78316) {G0,W18,D2,L2,V8,M2} { ! eqangle( X, Y, Z, T, U, W, V0, V1 ),
% 23.24/23.61 eqangle( Y, X, Z, T, U, W, V0, V1 ) }.
% 23.24/23.61 (78317) {G0,W18,D2,L2,V8,M2} { ! eqangle( X, Y, Z, T, U, W, V0, V1 ),
% 23.24/23.61 eqangle( Z, T, X, Y, V0, V1, U, W ) }.
% 23.24/23.61 (78318) {G0,W18,D2,L2,V8,M2} { ! eqangle( X, Y, Z, T, U, W, V0, V1 ),
% 23.24/23.61 eqangle( U, W, V0, V1, X, Y, Z, T ) }.
% 23.24/23.61 (78319) {G0,W18,D2,L2,V8,M2} { ! eqangle( X, Y, Z, T, U, W, V0, V1 ),
% 23.24/23.61 eqangle( X, Y, U, W, Z, T, V0, V1 ) }.
% 23.24/23.61 (78320) {G0,W27,D2,L3,V12,M3} { ! eqangle( X, Y, Z, T, V2, V3, V4, V5 ), !
% 23.24/23.61 eqangle( V2, V3, V4, V5, U, W, V0, V1 ), eqangle( X, Y, Z, T, U, W, V0,
% 23.24/23.61 V1 ) }.
% 23.24/23.61 (78321) {G0,W10,D2,L2,V4,M2} { ! cong( X, Y, Z, T ), cong( X, Y, T, Z )
% 23.24/23.61 }.
% 23.24/23.61 (78322) {G0,W10,D2,L2,V4,M2} { ! cong( X, Y, Z, T ), cong( Z, T, X, Y )
% 23.24/23.61 }.
% 23.24/23.61 (78323) {G0,W15,D2,L3,V6,M3} { ! cong( X, Y, U, W ), ! cong( U, W, Z, T )
% 23.24/23.61 , cong( X, Y, Z, T ) }.
% 23.24/23.61 (78324) {G0,W18,D2,L2,V8,M2} { ! eqratio( X, Y, Z, T, U, W, V0, V1 ),
% 23.24/23.61 eqratio( Y, X, Z, T, U, W, V0, V1 ) }.
% 23.24/23.61 (78325) {G0,W18,D2,L2,V8,M2} { ! eqratio( X, Y, Z, T, U, W, V0, V1 ),
% 23.24/23.61 eqratio( Z, T, X, Y, V0, V1, U, W ) }.
% 23.24/23.61 (78326) {G0,W18,D2,L2,V8,M2} { ! eqratio( X, Y, Z, T, U, W, V0, V1 ),
% 23.24/23.61 eqratio( U, W, V0, V1, X, Y, Z, T ) }.
% 23.24/23.61 (78327) {G0,W18,D2,L2,V8,M2} { ! eqratio( X, Y, Z, T, U, W, V0, V1 ),
% 23.24/23.61 eqratio( X, Y, U, W, Z, T, V0, V1 ) }.
% 23.24/23.61 (78328) {G0,W27,D2,L3,V12,M3} { ! eqratio( X, Y, Z, T, V2, V3, V4, V5 ), !
% 23.24/23.61 eqratio( V2, V3, V4, V5, U, W, V0, V1 ), eqratio( X, Y, Z, T, U, W, V0,
% 23.24/23.61 V1 ) }.
% 23.24/23.61 (78329) {G0,W14,D2,L2,V6,M2} { ! simtri( X, Z, Y, T, W, U ), simtri( X, Y
% 23.24/23.61 , Z, T, U, W ) }.
% 23.24/23.61 (78330) {G0,W14,D2,L2,V6,M2} { ! simtri( Y, X, Z, U, T, W ), simtri( X, Y
% 23.24/23.61 , Z, T, U, W ) }.
% 23.24/23.61 (78331) {G0,W14,D2,L2,V6,M2} { ! simtri( T, U, W, X, Y, Z ), simtri( X, Y
% 23.24/23.61 , Z, T, U, W ) }.
% 23.24/23.61 (78332) {G0,W21,D2,L3,V9,M3} { ! simtri( X, Y, Z, V0, V1, V2 ), ! simtri(
% 23.24/23.61 V0, V1, V2, T, U, W ), simtri( X, Y, Z, T, U, W ) }.
% 23.24/23.61 (78333) {G0,W14,D2,L2,V6,M2} { ! contri( X, Z, Y, T, W, U ), contri( X, Y
% 23.24/23.61 , Z, T, U, W ) }.
% 23.24/23.61 (78334) {G0,W14,D2,L2,V6,M2} { ! contri( Y, X, Z, U, T, W ), contri( X, Y
% 23.24/23.61 , Z, T, U, W ) }.
% 23.24/23.61 (78335) {G0,W14,D2,L2,V6,M2} { ! contri( T, U, W, X, Y, Z ), contri( X, Y
% 23.24/23.61 , Z, T, U, W ) }.
% 23.24/23.61 (78336) {G0,W21,D2,L3,V9,M3} { ! contri( X, Y, Z, V0, V1, V2 ), ! contri(
% 23.24/23.61 V0, V1, V2, T, U, W ), contri( X, Y, Z, T, U, W ) }.
% 23.24/23.61 (78337) {G0,W14,D2,L2,V6,M2} { ! eqangle( X, Y, U, W, Z, T, U, W ), para(
% 23.24/23.61 X, Y, Z, T ) }.
% 23.24/23.61 (78338) {G0,W14,D2,L2,V6,M2} { ! para( X, Y, Z, T ), eqangle( X, Y, U, W,
% 23.24/23.61 Z, T, U, W ) }.
% 23.24/23.61 (78339) {G0,W14,D2,L2,V4,M2} { ! cyclic( X, Y, Z, T ), eqangle( Z, X, Z, Y
% 23.24/23.61 , T, X, T, Y ) }.
% 23.24/23.61 (78340) {G0,W18,D2,L3,V4,M3} { ! eqangle( Z, X, Z, Y, T, X, T, Y ), coll(
% 23.24/23.61 Z, T, X ), cyclic( X, Y, Z, T ) }.
% 23.24/23.61 (78341) {G0,W18,D2,L3,V4,M3} { ! eqangle( Z, X, Z, Y, T, X, T, Y ), ! coll
% 23.24/23.61 ( Z, T, Y ), cyclic( X, Y, Z, T ) }.
% 23.24/23.61 (78342) {G0,W29,D2,L5,V6,M5} { ! cyclic( X, Y, U, Z ), ! cyclic( X, Y, U,
% 23.24/23.61 T ), ! cyclic( X, Y, U, W ), ! eqangle( U, X, U, Y, W, Z, W, T ), cong( X
% 23.24/23.61 , Y, Z, T ) }.
% 23.24/23.61 (78343) {G0,W13,D2,L3,V5,M3} { ! midp( Z, U, X ), ! midp( T, U, Y ), para
% 23.24/23.61 ( Z, T, X, Y ) }.
% 23.24/23.61 (78344) {G0,W17,D2,L4,V5,M4} { ! midp( U, X, T ), ! para( U, Z, T, Y ), !
% 23.24/23.61 coll( Z, X, Y ), midp( Z, X, Y ) }.
% 23.24/23.61 (78345) {G0,W14,D2,L2,V3,M2} { ! cong( Z, X, Z, Y ), eqangle( Z, X, X, Y,
% 23.24/23.61 X, Y, Z, Y ) }.
% 23.24/23.61 (78346) {G0,W18,D2,L3,V3,M3} { ! eqangle( Z, X, X, Y, X, Y, Z, Y ), coll(
% 23.24/23.61 Z, X, Y ), cong( Z, X, Z, Y ) }.
% 23.24/23.61 (78347) {G0,W19,D2,L3,V5,M3} { ! circle( U, X, Y, Z ), ! perp( U, X, X, T
% 23.24/23.61 ), eqangle( X, T, X, Y, Z, X, Z, Y ) }.
% 23.24/23.61 (78348) {G0,W19,D2,L3,V5,M3} { ! circle( Y, X, T, U ), ! eqangle( X, Z, X
% 23.24/23.61 , T, U, X, U, T ), perp( Y, X, X, Z ) }.
% 23.24/23.61 (78349) {G0,W18,D2,L3,V5,M3} { ! circle( T, X, Y, Z ), ! midp( U, Y, Z ),
% 23.24/23.61 eqangle( X, Y, X, Z, T, Y, T, U ) }.
% 23.24/23.61 (78350) {G0,W22,D2,L4,V5,M4} { ! circle( U, T, X, Y ), ! coll( Z, X, Y ),
% 23.24/23.61 ! eqangle( T, X, T, Y, U, X, U, Z ), midp( Z, X, Y ) }.
% 23.24/23.61 (78351) {G0,W14,D2,L3,V4,M3} { ! perp( X, Y, Y, T ), ! midp( Z, X, T ),
% 23.24/23.61 cong( X, Z, Y, Z ) }.
% 23.24/23.61 (78352) {G0,W14,D2,L3,V4,M3} { ! circle( T, X, Y, Z ), ! coll( T, X, Z ),
% 23.24/23.61 perp( X, Y, Y, Z ) }.
% 23.24/23.61 (78353) {G0,W19,D2,L3,V4,M3} { ! cyclic( X, Y, Z, T ), ! para( X, Y, Z, T
% 23.24/23.61 ), eqangle( X, T, Z, T, Z, T, Z, Y ) }.
% 23.24/23.61 (78354) {G0,W14,D2,L3,V4,M3} { ! midp( T, X, Y ), ! perp( Z, T, X, Y ),
% 23.24/23.61 cong( Z, X, Z, Y ) }.
% 23.24/23.61 (78355) {G0,W15,D2,L3,V4,M3} { ! cong( X, Z, Y, Z ), ! cong( X, T, Y, T )
% 23.24/23.61 , perp( X, Y, Z, T ) }.
% 23.24/23.61 (78356) {G0,W20,D2,L4,V4,M4} { ! cong( X, Y, T, Y ), ! cong( X, Z, T, Z )
% 23.24/23.61 , ! cyclic( X, T, Y, Z ), perp( Y, X, X, Z ) }.
% 23.24/23.61 (78357) {G0,W29,D2,L4,V6,M4} { ! eqangle( X, Y, Y, Z, T, U, U, W ), !
% 23.24/23.61 eqangle( X, Z, Y, Z, T, W, U, W ), coll( X, Y, Z ), simtri( X, Y, Z, T, U
% 23.24/23.61 , W ) }.
% 23.24/23.61 (78358) {G0,W16,D2,L2,V6,M2} { ! simtri( X, Y, Z, T, U, W ), eqratio( X, Y
% 23.24/23.61 , X, Z, T, U, T, W ) }.
% 23.24/23.61 (78359) {G0,W16,D2,L2,V6,M2} { ! simtri( X, Y, Z, T, U, W ), eqangle( X, Y
% 23.24/23.61 , Y, Z, T, U, U, W ) }.
% 23.24/23.61 (78360) {G0,W19,D2,L3,V6,M3} { ! simtri( X, Y, Z, T, U, W ), ! cong( X, Y
% 23.24/23.61 , T, U ), contri( X, Y, Z, T, U, W ) }.
% 23.24/23.61 (78361) {G0,W12,D2,L2,V6,M2} { ! contri( X, Y, U, Z, T, W ), cong( X, Y, Z
% 23.24/23.61 , T ) }.
% 23.24/23.61 (78362) {G0,W13,D2,L3,V5,M3} { ! midp( U, X, Y ), ! midp( U, Z, T ), para
% 23.24/23.61 ( X, Z, Y, T ) }.
% 23.24/23.61 (78363) {G0,W18,D2,L4,V5,M4} { ! midp( Z, T, U ), ! para( T, X, U, Y ), !
% 23.24/23.61 para( T, Y, U, X ), midp( Z, X, Y ) }.
% 23.24/23.61 (78364) {G0,W22,D2,L4,V5,M4} { ! para( X, Y, Z, T ), ! coll( U, X, Z ), !
% 23.24/23.61 coll( U, Y, T ), eqratio( U, X, X, Z, U, Y, Y, T ) }.
% 23.24/23.61 (78365) {G0,W9,D2,L2,V3,M2} { ! para( X, Y, X, Z ), coll( X, Y, Z ) }.
% 23.24/23.61 (78366) {G0,W13,D2,L3,V3,M3} { ! cong( X, Y, X, Z ), ! coll( X, Y, Z ),
% 23.24/23.61 midp( X, Y, Z ) }.
% 23.24/23.61 (78367) {G0,W9,D2,L2,V3,M2} { ! midp( X, Y, Z ), cong( X, Y, X, Z ) }.
% 23.24/23.61 (78368) {G0,W8,D2,L2,V3,M2} { ! midp( X, Y, Z ), coll( X, Y, Z ) }.
% 23.24/23.61 (78369) {G0,W17,D2,L3,V6,M3} { ! midp( U, X, Y ), ! midp( W, Z, T ),
% 23.24/23.61 eqratio( U, X, X, Y, W, Z, Z, T ) }.
% 23.24/23.61 (78370) {G0,W19,D2,L3,V4,M3} { ! eqangle( X, Y, Z, T, Z, T, X, Y ), para(
% 23.24/23.61 X, Y, Z, T ), perp( X, Y, Z, T ) }.
% 23.24/23.61 (78371) {G0,W19,D2,L3,V4,M3} { ! eqangle( X, Y, Z, T, Z, T, X, Y ), perp(
% 23.24/23.61 X, Y, Z, T ), para( X, Y, Z, T ) }.
% 23.24/23.61 (78372) {G0,W19,D2,L3,V8,M3} { ! eqangle( X, Y, Z, T, U, W, V0, V1 ), !
% 23.24/23.61 para( U, W, V0, V1 ), para( X, Y, Z, T ) }.
% 23.24/23.61 (78373) {G0,W19,D2,L3,V8,M3} { ! eqangle( X, Y, Z, T, U, W, V0, V1 ), !
% 23.24/23.61 perp( U, W, V0, V1 ), perp( X, Y, Z, T ) }.
% 23.24/23.61 (78374) {G0,W19,D2,L3,V8,M3} { ! eqratio( X, Y, Z, T, U, W, V0, V1 ), !
% 23.24/23.61 cong( U, W, V0, V1 ), cong( X, Y, Z, T ) }.
% 23.24/23.61 (78375) {G0,W22,D3,L3,V6,M3} { ! perp( Z, Y, Y, X ), ! eqangle( T, Z, Y, Z
% 23.24/23.61 , Y, Z, X, Z ), coll( skol1( U, W, Z, T ), Z, T ) }.
% 23.24/23.61 (78376) {G0,W22,D3,L3,V4,M3} { ! perp( Z, Y, Y, X ), ! eqangle( T, Z, Y, Z
% 23.24/23.61 , Y, Z, X, Z ), coll( skol1( X, Y, Z, T ), X, Y ) }.
% 23.24/23.61 (78377) {G0,W22,D3,L3,V6,M3} { ! cong( Z, X, Z, Y ), ! eqangle( X, Z, Z, T
% 23.24/23.61 , Z, T, Z, Y ), coll( skol2( U, W, Z, T ), Z, T ) }.
% 23.24/23.61 (78378) {G0,W22,D3,L3,V4,M3} { ! cong( Z, X, Z, Y ), ! eqangle( X, Z, Z, T
% 23.24/23.61 , Z, T, Z, Y ), coll( Y, X, skol2( X, Y, Z, T ) ) }.
% 23.24/23.61 (78379) {G0,W22,D3,L3,V6,M3} { ! perp( Z, T, X, Y ), ! eqangle( X, Z, Z, T
% 23.24/23.61 , Z, T, Z, Y ), coll( skol3( U, W, Z, T ), Z, T ) }.
% 23.24/23.61 (78380) {G0,W22,D3,L3,V4,M3} { ! perp( Z, T, X, Y ), ! eqangle( X, Z, Z, T
% 23.24/23.61 , Z, T, Z, Y ), coll( Y, X, skol3( X, Y, Z, T ) ) }.
% 23.24/23.61 (78381) {G0,W18,D3,L3,V6,M3} { ! perp( Z, T, X, Y ), ! cong( Z, X, Z, Y )
% 23.24/23.61 , coll( skol4( U, W, Z, T ), Z, T ) }.
% 23.24/23.61 (78382) {G0,W18,D3,L3,V4,M3} { ! perp( Z, T, X, Y ), ! cong( Z, X, Z, Y )
% 23.24/23.61 , coll( Y, X, skol4( X, Y, Z, T ) ) }.
% 23.24/23.61 (78383) {G0,W22,D3,L3,V6,M3} { ! eqangle( X, Z, Y, Z, X, T, Y, U ), coll(
% 23.24/23.61 X, Y, Z ), cyclic( T, Y, Z, skol5( W, Y, Z, T ) ) }.
% 23.24/23.61 (78384) {G0,W30,D3,L3,V5,M3} { ! eqangle( X, Z, Y, Z, X, T, Y, U ), coll(
% 23.24/23.61 X, Y, Z ), eqangle( X, Z, Y, Z, X, skol5( X, Y, Z, T ), Y, skol5( X, Y, Z
% 23.24/23.61 , T ) ) }.
% 23.24/23.61 (78385) {G0,W18,D3,L3,V10,M3} { ! midp( U, X, Y ), ! midp( W, Z, T ), midp
% 23.24/23.61 ( skol6( X, V0, V1, T, V2, V3 ), X, T ) }.
% 23.24/23.61 (78386) {G0,W19,D3,L3,V8,M3} { ! midp( U, X, Y ), ! midp( W, Z, T ), para
% 23.24/23.61 ( skol6( X, V0, Z, T, V1, W ), W, X, Z ) }.
% 23.24/23.61 (78387) {G0,W19,D3,L3,V6,M3} { ! midp( U, X, Y ), ! midp( W, Z, T ), para
% 23.24/23.61 ( skol6( X, Y, Z, T, U, W ), U, Y, T ) }.
% 23.24/23.61 (78388) {G0,W22,D3,L5,V7,M5} { ! midp( Z, X, Y ), ! midp( W, T, U ), !
% 23.24/23.61 coll( T, X, Y ), ! coll( U, X, Y ), midp( skol7( X, V0 ), X, V0 ) }.
% 23.24/23.61 (78389) {G0,W26,D3,L5,V8,M5} { ! midp( T, X, U ), ! para( X, W, Z, T ), !
% 23.24/23.61 para( X, W, U, Y ), ! coll( W, Y, Z ), coll( skol8( V0, V1, Z, T ), T, Z
% 23.24/23.61 ) }.
% 23.24/23.61 (78390) {G0,W26,D3,L5,V6,M5} { ! midp( T, X, U ), ! para( X, W, Z, T ), !
% 23.24/23.61 para( X, W, U, Y ), ! coll( W, Y, Z ), coll( skol8( X, Y, Z, T ), X, Y )
% 23.24/23.61 }.
% 23.24/23.61 (78391) {G0,W19,D3,L3,V7,M3} { ! cong( T, Z, T, U ), ! perp( X, Y, Y, T )
% 23.24/23.61 , cong( T, Z, T, skol9( W, V0, Z, T ) ) }.
% 23.24/23.61 (78392) {G0,W19,D3,L3,V6,M3} { ! cong( T, Z, T, U ), ! perp( X, Y, Y, T )
% 23.24/23.61 , cong( Y, Z, Y, skol9( W, Y, Z, T ) ) }.
% 23.24/23.61 (78393) {G0,W19,D3,L3,V5,M3} { ! cong( T, Z, T, U ), ! perp( X, Y, Y, T )
% 23.24/23.61 , para( skol9( X, Y, Z, T ), Z, X, Y ) }.
% 23.24/23.61 (78394) {G0,W17,D3,L3,V5,M3} { ! perp( X, T, Y, Z ), ! perp( Y, T, X, Z )
% 23.24/23.61 , coll( skol10( U, Y, Z ), Z, Y ) }.
% 23.24/23.61 (78395) {G0,W18,D3,L3,V4,M3} { ! perp( X, T, Y, Z ), ! perp( Y, T, X, Z )
% 23.24/23.61 , perp( X, skol10( X, Y, Z ), Z, Y ) }.
% 23.24/23.61 (78396) {G0,W14,D2,L3,V4,M3} { ! perp( X, T, Y, Z ), ! perp( Y, T, X, Z )
% 23.24/23.61 , alpha1( X, Y, Z ) }.
% 23.24/23.61 (78397) {G0,W11,D3,L2,V4,M2} { ! alpha1( X, Y, Z ), coll( skol11( X, T, Z
% 23.24/23.61 ), Z, X ) }.
% 23.24/23.61 (78398) {G0,W12,D3,L2,V3,M2} { ! alpha1( X, Y, Z ), perp( Y, skol11( X, Y
% 23.24/23.61 , Z ), Z, X ) }.
% 23.24/23.61 (78399) {G0,W13,D2,L3,V4,M3} { ! coll( T, Z, X ), ! perp( Y, T, Z, X ),
% 23.24/23.61 alpha1( X, Y, Z ) }.
% 23.24/23.61 (78400) {G0,W12,D3,L2,V4,M2} { ! circle( Y, X, Z, T ), perp( skol12( X, Y
% 23.24/23.61 ), X, X, Y ) }.
% 23.24/23.61 (78401) {G0,W28,D3,L5,V8,M5} { ! circle( W, X, Y, Z ), ! cong( W, X, W, T
% 23.24/23.61 ), ! cong( U, X, U, Y ), W = U, alpha2( X, Z, U, skol13( X, V0, Z, V1, U
% 23.24/23.61 ) ) }.
% 23.24/23.61 (78402) {G0,W26,D3,L5,V8,M5} { ! circle( W, X, Y, Z ), ! cong( W, X, W, T
% 23.24/23.61 ), ! cong( U, X, U, Y ), W = U, coll( skol21( V0, Y, T, V1 ), Y, T ) }.
% 23.24/23.61 (78403) {G0,W27,D3,L5,V6,M5} { ! circle( W, X, Y, Z ), ! cong( W, X, W, T
% 23.24/23.61 ), ! cong( U, X, U, Y ), W = U, cong( skol21( X, Y, T, U ), U, U, X )
% 23.24/23.61 }.
% 23.24/23.61 (78404) {G0,W9,D2,L2,V4,M2} { ! alpha2( X, Y, Z, T ), coll( T, X, Y ) }.
% 23.24/23.61 (78405) {G0,W10,D2,L2,V4,M2} { ! alpha2( X, Y, Z, T ), cong( T, Z, Z, X )
% 23.24/23.61 }.
% 23.24/23.61 (78406) {G0,W14,D2,L3,V4,M3} { ! coll( T, X, Y ), ! cong( T, Z, Z, X ),
% 23.24/23.61 alpha2( X, Y, Z, T ) }.
% 23.24/23.61 (78407) {G0,W22,D3,L4,V5,M4} { ! cyclic( X, Y, Z, T ), ! para( X, Y, Z, T
% 23.24/23.61 ), ! midp( U, X, Y ), circle( skol14( X, Y, Z ), X, Y, Z ) }.
% 23.24/23.61 (78408) {G0,W18,D3,L3,V4,M3} { ! perp( X, Z, Z, Y ), ! cyclic( X, Y, Z, T
% 23.24/23.61 ), circle( skol15( X, Y, Z ), X, Y, Z ) }.
% 23.24/23.61 (78409) {G0,W16,D3,L3,V6,M3} { ! perp( X, U, U, T ), ! coll( T, Y, Z ),
% 23.24/23.61 coll( skol16( W, Y, Z ), Y, Z ) }.
% 23.24/23.61 (78410) {G0,W17,D3,L3,V5,M3} { ! perp( X, U, U, T ), ! coll( T, Y, Z ),
% 23.24/23.61 perp( skol16( X, Y, Z ), X, Y, Z ) }.
% 23.24/23.61 (78411) {G0,W20,D3,L4,V5,M4} { ! perp( X, Z, X, Y ), ! perp( Y, X, Y, T )
% 23.24/23.61 , ! midp( U, Z, T ), midp( skol17( X, Y ), X, Y ) }.
% 23.24/23.61 (78412) {G0,W16,D3,L3,V3,M3} { ! cong( Y, X, Y, Z ), ! perp( X, Y, Y, Z )
% 23.24/23.61 , coll( X, Y, skol18( X, Y ) ) }.
% 23.24/23.61 (78413) {G0,W17,D3,L3,V3,M3} { ! cong( Y, X, Y, Z ), ! perp( X, Y, Y, Z )
% 23.24/23.61 , cong( Y, X, Y, skol18( X, Y ) ) }.
% 23.24/23.61 (78414) {G0,W25,D3,L5,V8,M5} { ! para( U, W, X, Y ), ! coll( Z, U, X ), !
% 23.24/23.61 coll( Z, W, Y ), ! coll( T, U, W ), coll( Z, T, skol19( V0, V1, Z, T ) )
% 23.24/23.61 }.
% 23.24/23.61 (78415) {G0,W25,D3,L5,V6,M5} { ! para( U, W, X, Y ), ! coll( Z, U, X ), !
% 23.24/23.61 coll( Z, W, Y ), ! coll( T, U, W ), coll( skol19( X, Y, Z, T ), X, Y )
% 23.24/23.61 }.
% 23.24/23.61 (78416) {G0,W5,D2,L1,V0,M1} { circle( skol27, skol20, skol25, skol26 ) }.
% 23.24/23.61 (78417) {G0,W5,D2,L1,V0,M1} { circle( skol27, skol20, skol22, skol28 ) }.
% 23.24/23.61 (78418) {G0,W5,D2,L1,V0,M1} { perp( skol20, skol25, skol22, skol23 ) }.
% 23.24/23.61 (78419) {G0,W5,D2,L1,V0,M1} { perp( skol20, skol22, skol25, skol23 ) }.
% 23.24/23.61 (78420) {G0,W5,D2,L1,V0,M1} { perp( skol25, skol22, skol20, skol23 ) }.
% 23.24/23.61 (78421) {G0,W5,D2,L1,V0,M1} { perp( skol20, skol26, skol22, skol24 ) }.
% 23.24/23.61 (78422) {G0,W5,D2,L1,V0,M1} { perp( skol20, skol22, skol26, skol24 ) }.
% 23.24/23.61 (78423) {G0,W5,D2,L1,V0,M1} { perp( skol26, skol22, skol20, skol24 ) }.
% 23.24/23.61 (78424) {G0,W5,D2,L1,V0,M1} { ! cyclic( skol20, skol23, skol22, skol24 )
% 23.24/23.61 }.
% 23.24/23.61
% 23.24/23.61
% 23.24/23.61 Total Proof:
% 23.24/23.61
% 23.24/23.61 subsumption: (0) {G0,W8,D2,L2,V3,M2} I { ! coll( X, Y, Z ), coll( X, Z, Y )
% 23.24/23.61 }.
% 23.24/23.61 parent0: (78299) {G0,W8,D2,L2,V3,M2} { ! coll( X, Y, Z ), coll( X, Z, Y )
% 23.24/23.61 }.
% 23.24/23.61 substitution0:
% 23.24/23.61 X := X
% 23.24/23.61 Y := Y
% 23.24/23.61 Z := Z
% 23.24/23.61 end
% 23.24/23.61 permutation0:
% 23.24/23.61 0 ==> 0
% 23.24/23.61 1 ==> 1
% 23.24/23.61 end
% 23.24/23.61
% 23.24/23.61 subsumption: (1) {G0,W8,D2,L2,V3,M2} I { ! coll( X, Y, Z ), coll( Y, X, Z )
% 23.24/23.61 }.
% 23.24/23.61 parent0: (78300) {G0,W8,D2,L2,V3,M2} { ! coll( X, Y, Z ), coll( Y, X, Z )
% 23.24/23.61 }.
% 23.24/23.61 substitution0:
% 23.24/23.61 X := X
% 23.24/23.61 Y := Y
% 23.24/23.61 Z := Z
% 23.24/23.61 end
% 23.24/23.61 permutation0:
% 23.24/23.61 0 ==> 0
% 23.24/23.61 1 ==> 1
% 23.24/23.61 end
% 23.24/23.61
% 23.24/23.61 subsumption: (2) {G0,W12,D2,L3,V4,M3} I { ! coll( X, T, Y ), ! coll( X, T,
% 23.24/23.61 Z ), coll( Y, Z, X ) }.
% 23.24/23.61 parent0: (78301) {G0,W12,D2,L3,V4,M3} { ! coll( X, T, Y ), ! coll( X, T, Z
% 23.24/23.61 ), coll( Y, Z, X ) }.
% 23.24/23.61 substitution0:
% 23.24/23.61 X := X
% 23.24/23.61 Y := Y
% 23.24/23.61 Z := Z
% 23.24/23.61 T := T
% 23.24/23.61 end
% 23.24/23.61 permutation0:
% 23.24/23.61 0 ==> 0
% 23.24/23.61 1 ==> 1
% 23.24/23.61 2 ==> 2
% 23.24/23.61 end
% 23.24/23.61
% 23.24/23.61 subsumption: (3) {G0,W10,D2,L2,V4,M2} I { ! para( X, Y, Z, T ), para( X, Y
% 23.24/23.61 , T, Z ) }.
% 23.24/23.61 parent0: (78302) {G0,W10,D2,L2,V4,M2} { ! para( X, Y, Z, T ), para( X, Y,
% 23.24/23.61 T, Z ) }.
% 23.24/23.61 substitution0:
% 23.24/23.61 X := X
% 23.24/23.61 Y := Y
% 23.24/23.61 Z := Z
% 23.24/23.61 T := T
% 23.24/23.61 end
% 23.24/23.61 permutation0:
% 23.24/23.61 0 ==> 0
% 23.24/23.61 1 ==> 1
% 23.24/23.61 end
% 23.24/23.61
% 23.24/23.61 subsumption: (4) {G0,W10,D2,L2,V4,M2} I { ! para( X, Y, Z, T ), para( Z, T
% 23.24/23.61 , X, Y ) }.
% 23.24/23.61 parent0: (78303) {G0,W10,D2,L2,V4,M2} { ! para( X, Y, Z, T ), para( Z, T,
% 23.24/23.61 X, Y ) }.
% 23.24/23.61 substitution0:
% 23.24/23.61 X := X
% 23.24/23.61 Y := Y
% 23.24/23.61 Z := Z
% 23.24/23.61 T := T
% 23.24/23.61 end
% 23.24/23.61 permutation0:
% 23.24/23.61 0 ==> 0
% 23.24/23.61 1 ==> 1
% 23.24/23.61 end
% 23.24/23.61
% 23.24/23.61 subsumption: (5) {G0,W15,D2,L3,V6,M3} I { ! para( X, Y, U, W ), ! para( U,
% 23.24/23.61 W, Z, T ), para( X, Y, Z, T ) }.
% 23.24/23.61 parent0: (78304) {G0,W15,D2,L3,V6,M3} { ! para( X, Y, U, W ), ! para( U, W
% 23.24/23.61 , Z, T ), para( X, Y, Z, T ) }.
% 23.24/23.61 substitution0:
% 23.24/23.61 X := X
% 23.24/23.61 Y := Y
% 23.24/23.61 Z := Z
% 23.24/23.61 T := T
% 23.24/23.61 U := U
% 23.24/23.61 W := W
% 23.24/23.61 end
% 23.24/23.61 permutation0:
% 23.24/23.61 0 ==> 0
% 23.24/23.61 1 ==> 1
% 23.24/23.61 2 ==> 2
% 23.24/23.61 end
% 23.24/23.61
% 23.24/23.61 subsumption: (6) {G0,W10,D2,L2,V4,M2} I { ! perp( X, Y, Z, T ), perp( X, Y
% 23.24/23.61 , T, Z ) }.
% 23.24/23.61 parent0: (78305) {G0,W10,D2,L2,V4,M2} { ! perp( X, Y, Z, T ), perp( X, Y,
% 23.24/23.61 T, Z ) }.
% 23.24/23.61 substitution0:
% 23.24/23.61 X := X
% 23.24/23.61 Y := Y
% 23.24/23.61 Z := Z
% 23.24/23.61 T := T
% 23.24/23.61 end
% 23.24/23.61 permutation0:
% 23.24/23.61 0 ==> 0
% 23.24/23.61 1 ==> 1
% 23.24/23.61 end
% 23.24/23.61
% 23.24/23.61 subsumption: (7) {G0,W10,D2,L2,V4,M2} I { ! perp( X, Y, Z, T ), perp( Z, T
% 23.24/23.61 , X, Y ) }.
% 23.24/23.61 parent0: (78306) {G0,W10,D2,L2,V4,M2} { ! perp( X, Y, Z, T ), perp( Z, T,
% 23.24/23.61 X, Y ) }.
% 23.24/23.61 substitution0:
% 23.24/23.61 X := X
% 23.24/23.61 Y := Y
% 23.24/23.61 Z := Z
% 23.24/23.61 T := T
% 23.24/23.61 end
% 23.24/23.61 permutation0:
% 23.24/23.61 0 ==> 0
% 23.24/23.61 1 ==> 1
% 23.24/23.61 end
% 23.24/23.61
% 23.24/23.61 subsumption: (8) {G0,W15,D2,L3,V6,M3} I { ! perp( X, Y, U, W ), ! perp( U,
% 23.24/23.61 W, Z, T ), para( X, Y, Z, T ) }.
% 23.24/23.61 parent0: (78307) {G0,W15,D2,L3,V6,M3} { ! perp( X, Y, U, W ), ! perp( U, W
% 23.24/23.61 , Z, T ), para( X, Y, Z, T ) }.
% 23.24/23.61 substitution0:
% 23.24/23.61 X := X
% 23.24/23.61 Y := Y
% 23.24/23.61 Z := Z
% 23.24/23.61 T := T
% 23.24/23.61 U := U
% 23.24/23.61 W := W
% 23.24/23.61 end
% 23.24/23.61 permutation0:
% 23.24/23.61 0 ==> 0
% 23.24/23.61 1 ==> 1
% 23.24/23.61 2 ==> 2
% 23.24/23.61 end
% 23.24/23.61
% 23.24/23.61 subsumption: (13) {G0,W10,D2,L2,V4,M2} I { ! cyclic( X, Y, Z, T ), cyclic(
% 23.24/23.61 X, Y, T, Z ) }.
% 23.24/23.61 parent0: (78312) {G0,W10,D2,L2,V4,M2} { ! cyclic( X, Y, Z, T ), cyclic( X
% 23.24/23.61 , Y, T, Z ) }.
% 23.24/23.61 substitution0:
% 23.24/23.61 X := X
% 23.24/23.61 Y := Y
% 23.24/23.61 Z := Z
% 23.24/23.61 T := T
% 23.24/23.61 end
% 23.24/23.61 permutation0:
% 23.24/23.61 0 ==> 0
% 23.24/23.61 1 ==> 1
% 23.24/23.61 end
% 23.24/23.61
% 23.24/23.61 subsumption: (14) {G0,W10,D2,L2,V4,M2} I { ! cyclic( X, Y, Z, T ), cyclic(
% 23.24/23.61 X, Z, Y, T ) }.
% 23.24/23.61 parent0: (78313) {G0,W10,D2,L2,V4,M2} { ! cyclic( X, Y, Z, T ), cyclic( X
% 23.24/23.61 , Z, Y, T ) }.
% 23.24/23.61 substitution0:
% 23.24/23.61 X := X
% 23.24/23.61 Y := Y
% 23.24/23.61 Z := Z
% 23.24/23.61 T := T
% 23.24/23.61 end
% 23.24/23.61 permutation0:
% 23.24/23.61 0 ==> 0
% 23.24/23.61 1 ==> 1
% 23.24/23.61 end
% 23.24/23.61
% 23.24/23.61 subsumption: (15) {G0,W10,D2,L2,V4,M2} I { ! cyclic( X, Y, Z, T ), cyclic(
% 23.24/23.61 Y, X, Z, T ) }.
% 23.24/23.61 parent0: (78314) {G0,W10,D2,L2,V4,M2} { ! cyclic( X, Y, Z, T ), cyclic( Y
% 23.24/23.61 , X, Z, T ) }.
% 23.24/23.61 substitution0:
% 23.24/23.61 X := X
% 23.24/23.61 Y := Y
% 23.24/23.61 Z := Z
% 23.24/23.61 T := T
% 23.24/23.61 end
% 23.24/23.61 permutation0:
% 23.24/23.61 0 ==> 0
% 23.24/23.61 1 ==> 1
% 23.24/23.61 end
% 23.24/23.61
% 23.24/23.61 subsumption: (16) {G0,W15,D2,L3,V5,M3} I { ! cyclic( U, X, Y, Z ), ! cyclic
% 23.24/23.61 ( U, X, Y, T ), cyclic( X, Y, Z, T ) }.
% 23.24/23.61 parent0: (78315) {G0,W15,D2,L3,V5,M3} { ! cyclic( U, X, Y, Z ), ! cyclic(
% 23.24/23.61 U, X, Y, T ), cyclic( X, Y, Z, T ) }.
% 23.24/23.61 substitution0:
% 23.24/23.61 X := X
% 23.24/23.61 Y := Y
% 23.24/23.61 Z := Z
% 23.24/23.61 T := T
% 23.24/23.61 U := U
% 23.24/23.61 end
% 23.24/23.61 permutation0:
% 23.24/23.61 0 ==> 0
% 23.24/23.61 1 ==> 1
% 23.24/23.61 2 ==> 2
% 23.24/23.61 end
% 23.24/23.61
% 23.24/23.61 subsumption: (18) {G0,W18,D2,L2,V8,M2} I { ! eqangle( X, Y, Z, T, U, W, V0
% 23.24/23.61 , V1 ), eqangle( Z, T, X, Y, V0, V1, U, W ) }.
% 23.24/23.61 parent0: (78317) {G0,W18,D2,L2,V8,M2} { ! eqangle( X, Y, Z, T, U, W, V0,
% 23.24/23.61 V1 ), eqangle( Z, T, X, Y, V0, V1, U, W ) }.
% 23.24/23.61 substitution0:
% 23.24/23.61 X := X
% 23.24/23.61 Y := Y
% 23.24/23.61 Z := Z
% 23.24/23.61 T := T
% 23.24/23.61 U := U
% 23.24/23.61 W := W
% 23.24/23.61 V0 := V0
% 23.24/23.61 V1 := V1
% 23.24/23.61 end
% 23.24/23.61 permutation0:
% 23.24/23.61 0 ==> 0
% 23.24/23.61 1 ==> 1
% 23.24/23.61 end
% 23.24/23.61
% 23.24/23.61 subsumption: (19) {G0,W18,D2,L2,V8,M2} I { ! eqangle( X, Y, Z, T, U, W, V0
% 23.24/23.61 , V1 ), eqangle( U, W, V0, V1, X, Y, Z, T ) }.
% 23.24/23.61 parent0: (78318) {G0,W18,D2,L2,V8,M2} { ! eqangle( X, Y, Z, T, U, W, V0,
% 23.24/23.61 V1 ), eqangle( U, W, V0, V1, X, Y, Z, T ) }.
% 23.24/23.61 substitution0:
% 23.24/23.61 X := X
% 23.24/23.61 Y := Y
% 23.24/23.61 Z := Z
% 23.24/23.61 T := T
% 23.24/23.61 U := U
% 23.24/23.61 W := W
% 23.24/23.61 V0 := V0
% 23.24/23.61 V1 := V1
% 23.24/23.61 end
% 23.24/23.61 permutation0:
% 23.24/23.61 0 ==> 0
% 23.24/23.61 1 ==> 1
% 23.24/23.61 end
% 23.24/23.61
% 23.24/23.61 subsumption: (39) {G0,W14,D2,L2,V6,M2} I { ! para( X, Y, Z, T ), eqangle( X
% 23.24/23.61 , Y, U, W, Z, T, U, W ) }.
% 23.24/23.61 parent0: (78338) {G0,W14,D2,L2,V6,M2} { ! para( X, Y, Z, T ), eqangle( X,
% 23.24/23.61 Y, U, W, Z, T, U, W ) }.
% 23.24/23.61 substitution0:
% 23.24/23.61 X := X
% 23.24/23.61 Y := Y
% 23.24/23.61 Z := Z
% 23.24/23.61 T := T
% 23.24/23.61 U := U
% 23.24/23.61 W := W
% 23.24/23.61 end
% 23.24/23.61 permutation0:
% 23.24/23.61 0 ==> 0
% 23.24/23.61 1 ==> 1
% 23.24/23.61 end
% 23.24/23.61
% 23.24/23.61 subsumption: (42) {G0,W18,D2,L3,V4,M3} I { ! eqangle( Z, X, Z, Y, T, X, T,
% 23.24/23.61 Y ), ! coll( Z, T, Y ), cyclic( X, Y, Z, T ) }.
% 23.24/23.61 parent0: (78341) {G0,W18,D2,L3,V4,M3} { ! eqangle( Z, X, Z, Y, T, X, T, Y
% 23.24/23.61 ), ! coll( Z, T, Y ), cyclic( X, Y, Z, T ) }.
% 23.24/23.61 substitution0:
% 23.24/23.61 X := X
% 23.24/23.61 Y := Y
% 23.24/23.61 Z := Z
% 23.24/23.61 T := T
% 23.24/23.61 end
% 23.24/23.61 permutation0:
% 23.24/23.61 0 ==> 0
% 23.24/23.61 1 ==> 1
% 23.24/23.61 2 ==> 2
% 23.24/23.61 end
% 23.24/23.61
% 23.24/23.61 subsumption: (53) {G0,W14,D2,L3,V4,M3} I { ! circle( T, X, Y, Z ), ! coll(
% 23.24/23.61 T, X, Z ), perp( X, Y, Y, Z ) }.
% 23.24/23.61 parent0: (78352) {G0,W14,D2,L3,V4,M3} { ! circle( T, X, Y, Z ), ! coll( T
% 23.24/23.61 , X, Z ), perp( X, Y, Y, Z ) }.
% 23.24/23.61 substitution0:
% 23.24/23.61 X := X
% 23.24/23.61 Y := Y
% 23.24/23.61 Z := Z
% 23.24/23.61 T := T
% 23.24/23.61 end
% 23.24/23.61 permutation0:
% 23.24/23.61 0 ==> 0
% 23.24/23.61 1 ==> 1
% 23.24/23.61 2 ==> 2
% 23.24/23.61 end
% 23.24/23.61
% 23.24/23.61 subsumption: (66) {G0,W9,D2,L2,V3,M2} I { ! para( X, Y, X, Z ), coll( X, Y
% 23.24/23.61 , Z ) }.
% 23.24/23.61 parent0: (78365) {G0,W9,D2,L2,V3,M2} { ! para( X, Y, X, Z ), coll( X, Y, Z
% 23.24/23.61 ) }.
% 23.24/23.61 substitution0:
% 23.24/23.61 X := X
% 23.24/23.61 Y := Y
% 23.24/23.61 Z := Z
% 23.24/23.61 end
% 23.24/23.61 permutation0:
% 23.24/23.61 0 ==> 0
% 23.24/23.61 1 ==> 1
% 23.24/23.61 end
% 23.24/23.61
% 23.24/23.61 subsumption: (94) {G0,W17,D3,L3,V5,M3} I { ! perp( X, T, Y, Z ), ! perp( Y
% 23.24/23.61 , T, X, Z ), coll( skol10( U, Y, Z ), Z, Y ) }.
% 23.24/23.61 parent0: (78394) {G0,W17,D3,L3,V5,M3} { ! perp( X, T, Y, Z ), ! perp( Y, T
% 23.24/23.61 , X, Z ), coll( skol10( U, Y, Z ), Z, Y ) }.
% 23.24/23.61 substitution0:
% 23.24/23.61 X := X
% 23.24/23.61 Y := Y
% 23.24/23.61 Z := Z
% 23.24/23.61 T := T
% 23.24/23.61 U := U
% 23.24/23.61 end
% 23.24/23.61 permutation0:
% 23.24/23.61 0 ==> 0
% 23.24/23.61 1 ==> 1
% 23.24/23.61 2 ==> 2
% 23.24/23.61 end
% 23.24/23.61
% 23.24/23.61 subsumption: (100) {G0,W12,D3,L2,V4,M2} I { ! circle( Y, X, Z, T ), perp(
% 23.24/23.61 skol12( X, Y ), X, X, Y ) }.
% 23.24/23.61 parent0: (78400) {G0,W12,D3,L2,V4,M2} { ! circle( Y, X, Z, T ), perp(
% 23.24/23.61 skol12( X, Y ), X, X, Y ) }.
% 23.24/23.61 substitution0:
% 23.24/23.61 X := X
% 23.24/23.61 Y := Y
% 23.24/23.61 Z := Z
% 23.24/23.61 T := T
% 23.24/23.61 end
% 23.24/23.61 permutation0:
% 23.24/23.61 0 ==> 0
% 23.24/23.61 1 ==> 1
% 23.24/23.61 end
% 23.24/23.61
% 23.24/23.61 subsumption: (116) {G0,W5,D2,L1,V0,M1} I { circle( skol27, skol20, skol25,
% 23.24/23.61 skol26 ) }.
% 23.24/23.61 parent0: (78416) {G0,W5,D2,L1,V0,M1} { circle( skol27, skol20, skol25,
% 23.24/23.61 skol26 ) }.
% 23.24/23.61 substitution0:
% 23.24/23.61 end
% 23.24/23.61 permutation0:
% 23.24/23.61 0 ==> 0
% 23.24/23.61 end
% 23.24/23.61
% 23.24/23.61 subsumption: (118) {G0,W5,D2,L1,V0,M1} I { perp( skol20, skol25, skol22,
% 23.24/23.61 skol23 ) }.
% 23.24/23.61 parent0: (78418) {G0,W5,D2,L1,V0,M1} { perp( skol20, skol25, skol22,
% 23.24/23.61 skol23 ) }.
% 23.24/23.61 substitution0:
% 23.24/23.61 end
% 23.24/23.61 permutation0:
% 23.24/23.61 0 ==> 0
% 23.24/23.61 end
% 23.24/23.61
% 23.24/23.61 subsumption: (119) {G0,W5,D2,L1,V0,M1} I { perp( skol20, skol22, skol25,
% 23.24/23.61 skol23 ) }.
% 23.24/23.61 parent0: (78419) {G0,W5,D2,L1,V0,M1} { perp( skol20, skol22, skol25,
% 23.24/23.61 skol23 ) }.
% 23.24/23.61 substitution0:
% 23.24/23.61 end
% 23.24/23.61 permutation0:
% 23.24/23.61 0 ==> 0
% 23.24/23.61 end
% 23.24/23.61
% 23.24/23.61 subsumption: (121) {G0,W5,D2,L1,V0,M1} I { perp( skol20, skol26, skol22,
% 23.24/23.61 skol24 ) }.
% 23.24/23.61 parent0: (78421) {G0,W5,D2,L1,V0,M1} { perp( skol20, skol26, skol22,
% 23.24/23.61 skol24 ) }.
% 23.24/23.61 substitution0:
% 23.24/23.61 end
% 23.24/23.61 permutation0:
% 23.24/23.61 0 ==> 0
% 23.24/23.61 end
% 23.24/23.61
% 23.24/23.61 subsumption: (122) {G0,W5,D2,L1,V0,M1} I { perp( skol20, skol22, skol26,
% 23.24/23.61 skol24 ) }.
% 23.24/23.61 parent0: (78422) {G0,W5,D2,L1,V0,M1} { perp( skol20, skol22, skol26,
% 23.24/23.61 skol24 ) }.
% 23.24/23.61 substitution0:
% 23.24/23.61 end
% 23.24/23.61 permutation0:
% 23.24/23.61 0 ==> 0
% 23.24/23.61 end
% 23.24/23.61
% 23.24/23.61 subsumption: (124) {G0,W5,D2,L1,V0,M1} I { ! cyclic( skol20, skol23, skol22
% 23.24/23.61 , skol24 ) }.
% 23.24/23.61 parent0: (78424) {G0,W5,D2,L1,V0,M1} { ! cyclic( skol20, skol23, skol22,
% 23.24/23.61 skol24 ) }.
% 23.24/23.61 substitution0:
% 23.24/23.61 end
% 23.24/23.61 permutation0:
% 23.24/23.61 0 ==> 0
% 23.24/23.61 end
% 23.24/23.61
% 23.24/23.61 resolution: (78944) {G1,W8,D2,L2,V3,M2} { coll( Y, X, Z ), ! coll( X, Z, Y
% 23.24/23.61 ) }.
% 23.24/23.61 parent0[0]: (1) {G0,W8,D2,L2,V3,M2} I { ! coll( X, Y, Z ), coll( Y, X, Z )
% 23.24/23.61 }.
% 23.24/23.61 parent1[1]: (0) {G0,W8,D2,L2,V3,M2} I { ! coll( X, Y, Z ), coll( X, Z, Y )
% 23.24/23.61 }.
% 23.24/23.61 substitution0:
% 23.24/23.61 X := X
% 23.24/23.61 Y := Y
% 23.24/23.61 Z := Z
% 23.24/23.61 end
% 23.24/23.61 substitution1:
% 23.24/23.61 X := X
% 23.24/23.61 Y := Z
% 23.24/23.61 Z := Y
% 23.24/23.61 end
% 23.24/23.61
% 23.24/23.61 subsumption: (162) {G1,W8,D2,L2,V3,M2} R(1,0) { coll( X, Y, Z ), ! coll( Y
% 23.24/23.61 , Z, X ) }.
% 23.24/23.61 parent0: (78944) {G1,W8,D2,L2,V3,M2} { coll( Y, X, Z ), ! coll( X, Z, Y )
% 23.24/23.61 }.
% 23.24/23.61 substitution0:
% 23.24/23.61 X := Y
% 23.24/23.61 Y := X
% 23.24/23.61 Z := Z
% 23.24/23.61 end
% 23.24/23.61 permutation0:
% 23.24/23.61 0 ==> 0
% 23.24/23.61 1 ==> 1
% 23.24/23.61 end
% 23.24/23.61
% 23.24/23.61 resolution: (78946) {G1,W8,D2,L2,V3,M2} { coll( X, Z, Y ), ! coll( Y, X, Z
% 23.24/23.61 ) }.
% 23.24/23.61 parent0[0]: (0) {G0,W8,D2,L2,V3,M2} I { ! coll( X, Y, Z ), coll( X, Z, Y )
% 23.24/23.61 }.
% 23.24/23.61 parent1[1]: (1) {G0,W8,D2,L2,V3,M2} I { ! coll( X, Y, Z ), coll( Y, X, Z )
% 23.24/23.61 }.
% 23.24/23.61 substitution0:
% 23.24/23.61 X := X
% 23.24/23.61 Y := Y
% 23.24/23.61 Z := Z
% 23.24/23.61 end
% 23.24/23.61 substitution1:
% 23.24/23.61 X := Y
% 23.24/23.61 Y := X
% 23.24/23.61 Z := Z
% 23.24/23.61 end
% 23.24/23.61
% 23.24/23.61 subsumption: (163) {G1,W8,D2,L2,V3,M2} R(1,0) { ! coll( X, Y, Z ), coll( Y
% 23.24/23.61 , Z, X ) }.
% 23.24/23.61 parent0: (78946) {G1,W8,D2,L2,V3,M2} { coll( X, Z, Y ), ! coll( Y, X, Z )
% 23.24/23.61 }.
% 23.24/23.61 substitution0:
% 23.24/23.61 X := Y
% 23.24/23.61 Y := X
% 23.24/23.61 Z := Z
% 23.24/23.61 end
% 23.24/23.61 permutation0:
% 23.24/23.61 0 ==> 1
% 23.24/23.61 1 ==> 0
% 23.24/23.61 end
% 23.24/23.61
% 23.24/23.61 resolution: (78947) {G1,W8,D2,L2,V3,M2} { coll( X, Y, Z ), ! coll( Z, Y, X
% 23.24/23.61 ) }.
% 23.24/23.61 parent0[1]: (162) {G1,W8,D2,L2,V3,M2} R(1,0) { coll( X, Y, Z ), ! coll( Y,
% 23.24/23.61 Z, X ) }.
% 23.24/23.61 parent1[1]: (1) {G0,W8,D2,L2,V3,M2} I { ! coll( X, Y, Z ), coll( Y, X, Z )
% 23.24/23.61 }.
% 23.24/23.61 substitution0:
% 23.24/23.61 X := X
% 23.24/23.61 Y := Y
% 23.24/23.61 Z := Z
% 23.24/23.61 end
% 23.24/23.61 substitution1:
% 23.24/23.61 X := Z
% 23.24/23.61 Y := Y
% 23.24/23.61 Z := X
% 23.24/23.61 end
% 23.24/23.61
% 23.24/23.61 subsumption: (164) {G2,W8,D2,L2,V3,M2} R(162,1) { coll( X, Y, Z ), ! coll(
% 23.24/23.61 Z, Y, X ) }.
% 23.24/23.61 parent0: (78947) {G1,W8,D2,L2,V3,M2} { coll( X, Y, Z ), ! coll( Z, Y, X )
% 23.24/23.61 }.
% 23.24/23.61 substitution0:
% 23.24/23.61 X := X
% 23.24/23.61 Y := Y
% 23.24/23.61 Z := Z
% 23.24/23.61 end
% 23.24/23.61 permutation0:
% 23.24/23.61 0 ==> 0
% 23.24/23.61 1 ==> 1
% 23.24/23.61 end
% 23.24/23.61
% 23.24/23.61 resolution: (78951) {G1,W12,D2,L3,V4,M3} { coll( Y, Z, X ), ! coll( Z, T,
% 23.24/23.61 X ), ! coll( Z, T, Y ) }.
% 23.24/23.61 parent0[0]: (163) {G1,W8,D2,L2,V3,M2} R(1,0) { ! coll( X, Y, Z ), coll( Y,
% 23.24/23.61 Z, X ) }.
% 23.24/23.61 parent1[2]: (2) {G0,W12,D2,L3,V4,M3} I { ! coll( X, T, Y ), ! coll( X, T, Z
% 23.24/23.61 ), coll( Y, Z, X ) }.
% 23.24/23.61 substitution0:
% 23.24/23.61 X := X
% 23.24/23.61 Y := Y
% 23.24/23.61 Z := Z
% 23.24/23.61 end
% 23.24/23.61 substitution1:
% 23.24/23.61 X := Z
% 23.24/23.61 Y := X
% 23.24/23.61 Z := Y
% 23.24/23.61 T := T
% 23.24/23.61 end
% 23.24/23.61
% 23.24/23.61 subsumption: (176) {G2,W12,D2,L3,V4,M3} R(2,163) { ! coll( X, Y, Z ), !
% 23.24/23.61 coll( X, Y, T ), coll( T, X, Z ) }.
% 23.24/23.61 parent0: (78951) {G1,W12,D2,L3,V4,M3} { coll( Y, Z, X ), ! coll( Z, T, X )
% 23.24/23.61 , ! coll( Z, T, Y ) }.
% 23.24/23.61 substitution0:
% 23.24/23.61 X := Z
% 23.24/23.61 Y := T
% 23.24/23.61 Z := X
% 23.24/23.61 T := Y
% 23.24/23.61 end
% 23.24/23.61 permutation0:
% 23.24/23.61 0 ==> 2
% 23.24/23.61 1 ==> 0
% 23.24/23.61 2 ==> 1
% 23.24/23.61 end
% 23.24/23.61
% 23.24/23.61 factor: (78953) {G2,W8,D2,L2,V3,M2} { ! coll( X, Y, Z ), coll( Z, X, Z )
% 23.24/23.61 }.
% 23.24/23.61 parent0[0, 1]: (176) {G2,W12,D2,L3,V4,M3} R(2,163) { ! coll( X, Y, Z ), !
% 23.24/23.61 coll( X, Y, T ), coll( T, X, Z ) }.
% 23.24/23.61 substitution0:
% 23.24/23.61 X := X
% 23.24/23.61 Y := Y
% 23.24/23.61 Z := Z
% 23.24/23.61 T := Z
% 23.24/23.61 end
% 23.24/23.61
% 23.24/23.61 subsumption: (187) {G3,W8,D2,L2,V3,M2} F(176) { ! coll( X, Y, Z ), coll( Z
% 23.24/23.61 , X, Z ) }.
% 23.24/23.61 parent0: (78953) {G2,W8,D2,L2,V3,M2} { ! coll( X, Y, Z ), coll( Z, X, Z )
% 23.24/23.61 }.
% 23.24/23.61 substitution0:
% 23.24/23.61 X := X
% 23.24/23.61 Y := Y
% 23.24/23.61 Z := Z
% 23.24/23.61 end
% 23.24/23.61 permutation0:
% 23.24/23.61 0 ==> 0
% 23.24/23.61 1 ==> 1
% 23.24/23.61 end
% 23.24/23.61
% 23.24/23.61 resolution: (78954) {G2,W8,D2,L2,V3,M2} { coll( Z, X, Z ), ! coll( Z, X, Y
% 23.24/23.61 ) }.
% 23.24/23.61 parent0[0]: (187) {G3,W8,D2,L2,V3,M2} F(176) { ! coll( X, Y, Z ), coll( Z,
% 23.24/23.61 X, Z ) }.
% 23.24/23.61 parent1[1]: (163) {G1,W8,D2,L2,V3,M2} R(1,0) { ! coll( X, Y, Z ), coll( Y,
% 23.24/23.61 Z, X ) }.
% 23.24/23.61 substitution0:
% 23.24/23.61 X := X
% 23.24/23.61 Y := Y
% 23.24/23.61 Z := Z
% 23.24/23.61 end
% 23.24/23.61 substitution1:
% 23.24/23.61 X := Z
% 23.24/23.61 Y := X
% 23.24/23.61 Z := Y
% 23.24/23.61 end
% 23.24/23.61
% 23.24/23.61 subsumption: (194) {G4,W8,D2,L2,V3,M2} R(187,163) { coll( X, Y, X ), ! coll
% 23.24/23.61 ( X, Y, Z ) }.
% 23.24/23.61 parent0: (78954) {G2,W8,D2,L2,V3,M2} { coll( Z, X, Z ), ! coll( Z, X, Y )
% 23.24/23.61 }.
% 23.24/23.61 substitution0:
% 23.24/23.61 X := Y
% 23.24/23.61 Y := Z
% 23.24/23.61 Z := X
% 23.24/23.61 end
% 23.24/23.61 permutation0:
% 23.24/23.61 0 ==> 0
% 23.24/23.61 1 ==> 1
% 23.24/23.61 end
% 23.24/23.61
% 23.24/23.61 resolution: (78956) {G1,W10,D2,L2,V4,M2} { para( X, Y, T, Z ), ! para( Z,
% 23.24/23.61 T, X, Y ) }.
% 23.24/23.61 parent0[0]: (3) {G0,W10,D2,L2,V4,M2} I { ! para( X, Y, Z, T ), para( X, Y,
% 23.24/23.61 T, Z ) }.
% 23.24/23.61 parent1[1]: (4) {G0,W10,D2,L2,V4,M2} I { ! para( X, Y, Z, T ), para( Z, T,
% 23.24/23.61 X, Y ) }.
% 23.24/23.61 substitution0:
% 23.24/23.61 X := X
% 23.24/23.61 Y := Y
% 23.24/23.61 Z := Z
% 23.24/23.61 T := T
% 23.24/23.61 end
% 23.24/23.61 substitution1:
% 23.24/23.61 X := Z
% 23.24/23.61 Y := T
% 23.24/23.61 Z := X
% 23.24/23.61 T := Y
% 23.24/23.61 end
% 23.24/23.61
% 23.24/23.61 subsumption: (209) {G1,W10,D2,L2,V4,M2} R(4,3) { ! para( X, Y, Z, T ), para
% 23.24/23.61 ( Z, T, Y, X ) }.
% 23.24/23.61 parent0: (78956) {G1,W10,D2,L2,V4,M2} { para( X, Y, T, Z ), ! para( Z, T,
% 23.24/23.61 X, Y ) }.
% 23.24/23.61 substitution0:
% 23.24/23.61 X := Z
% 23.24/23.61 Y := T
% 23.24/23.61 Z := X
% 23.24/23.61 T := Y
% 23.24/23.61 end
% 23.24/23.61 permutation0:
% 23.24/23.61 0 ==> 1
% 23.24/23.61 1 ==> 0
% 23.24/23.61 end
% 23.24/23.61
% 23.24/23.61 resolution: (78957) {G1,W15,D2,L3,V6,M3} { ! para( Z, T, U, W ), para( X,
% 23.24/23.61 Y, U, W ), ! para( Z, T, X, Y ) }.
% 23.24/23.61 parent0[0]: (5) {G0,W15,D2,L3,V6,M3} I { ! para( X, Y, U, W ), ! para( U, W
% 23.24/23.61 , Z, T ), para( X, Y, Z, T ) }.
% 23.24/23.61 parent1[1]: (4) {G0,W10,D2,L2,V4,M2} I { ! para( X, Y, Z, T ), para( Z, T,
% 23.24/23.61 X, Y ) }.
% 23.24/23.61 substitution0:
% 23.24/23.61 X := X
% 23.24/23.61 Y := Y
% 23.24/23.61 Z := U
% 23.24/23.61 T := W
% 23.24/23.61 U := Z
% 23.24/23.61 W := T
% 23.24/23.61 end
% 23.24/23.61 substitution1:
% 23.24/23.61 X := Z
% 23.24/23.61 Y := T
% 23.24/23.61 Z := X
% 23.24/23.61 T := Y
% 23.24/23.61 end
% 23.24/23.61
% 23.24/23.61 subsumption: (217) {G1,W15,D2,L3,V6,M3} R(5,4) { ! para( X, Y, Z, T ), para
% 23.24/23.61 ( U, W, Z, T ), ! para( X, Y, U, W ) }.
% 23.24/23.61 parent0: (78957) {G1,W15,D2,L3,V6,M3} { ! para( Z, T, U, W ), para( X, Y,
% 23.24/23.61 U, W ), ! para( Z, T, X, Y ) }.
% 23.24/23.61 substitution0:
% 23.24/23.61 X := U
% 23.24/23.61 Y := W
% 23.24/23.61 Z := X
% 23.24/23.61 T := Y
% 23.24/23.61 U := Z
% 23.24/23.61 W := T
% 23.24/23.61 end
% 23.24/23.61 permutation0:
% 23.24/23.61 0 ==> 0
% 23.24/23.61 1 ==> 1
% 23.24/23.61 2 ==> 2
% 23.24/23.61 end
% 23.24/23.61
% 23.24/23.61 factor: (78961) {G1,W10,D2,L2,V4,M2} { ! para( X, Y, Z, T ), para( Z, T, Z
% 23.24/23.61 , T ) }.
% 23.24/23.61 parent0[0, 2]: (217) {G1,W15,D2,L3,V6,M3} R(5,4) { ! para( X, Y, Z, T ),
% 23.24/23.61 para( U, W, Z, T ), ! para( X, Y, U, W ) }.
% 23.24/23.61 substitution0:
% 23.24/23.61 X := X
% 23.24/23.61 Y := Y
% 23.24/23.61 Z := Z
% 23.24/23.61 T := T
% 23.24/23.61 U := Z
% 23.24/23.61 W := T
% 23.24/23.61 end
% 23.24/23.61
% 23.24/23.61 subsumption: (223) {G2,W10,D2,L2,V4,M2} F(217) { ! para( X, Y, Z, T ), para
% 23.24/23.61 ( Z, T, Z, T ) }.
% 23.24/23.61 parent0: (78961) {G1,W10,D2,L2,V4,M2} { ! para( X, Y, Z, T ), para( Z, T,
% 23.24/23.61 Z, T ) }.
% 23.24/23.61 substitution0:
% 23.24/23.61 X := X
% 23.24/23.61 Y := Y
% 23.24/23.61 Z := Z
% 23.24/23.61 T := T
% 23.24/23.61 end
% 23.24/23.61 permutation0:
% 23.24/23.61 0 ==> 0
% 23.24/23.61 1 ==> 1
% 23.24/23.61 end
% 23.24/23.61
% 23.24/23.61 resolution: (78965) {G1,W12,D2,L3,V4,M3} { ! coll( X, Y, Z ), coll( Z, X,
% 23.24/23.61 X ), ! coll( X, Y, T ) }.
% 23.24/23.61 parent0[1]: (2) {G0,W12,D2,L3,V4,M3} I { ! coll( X, T, Y ), ! coll( X, T, Z
% 23.24/23.61 ), coll( Y, Z, X ) }.
% 23.24/23.61 parent1[0]: (194) {G4,W8,D2,L2,V3,M2} R(187,163) { coll( X, Y, X ), ! coll
% 23.24/23.61 ( X, Y, Z ) }.
% 23.24/23.61 substitution0:
% 23.24/23.61 X := X
% 23.24/23.61 Y := Z
% 23.24/23.61 Z := X
% 23.24/23.61 T := Y
% 23.24/23.61 end
% 23.24/23.61 substitution1:
% 23.24/23.61 X := X
% 23.24/23.61 Y := Y
% 23.24/23.61 Z := T
% 23.24/23.61 end
% 23.24/23.61
% 23.24/23.61 subsumption: (226) {G5,W12,D2,L3,V4,M3} R(194,2) { ! coll( X, Y, Z ), !
% 23.24/23.61 coll( X, Y, T ), coll( T, X, X ) }.
% 23.24/23.61 parent0: (78965) {G1,W12,D2,L3,V4,M3} { ! coll( X, Y, Z ), coll( Z, X, X )
% 23.24/23.61 , ! coll( X, Y, T ) }.
% 23.24/23.61 substitution0:
% 23.24/23.61 X := X
% 23.24/23.61 Y := Y
% 23.24/23.61 Z := T
% 23.24/23.61 T := Z
% 23.24/23.61 end
% 23.24/23.61 permutation0:
% 23.24/23.61 0 ==> 1
% 23.24/23.61 1 ==> 2
% 23.24/23.61 2 ==> 0
% 23.24/23.61 end
% 23.24/23.61
% 23.24/23.61 resolution: (78969) {G2,W8,D2,L2,V3,M2} { coll( X, X, Y ), ! coll( X, Y, Z
% 23.24/23.61 ) }.
% 23.24/23.61 parent0[1]: (162) {G1,W8,D2,L2,V3,M2} R(1,0) { coll( X, Y, Z ), ! coll( Y,
% 23.24/23.61 Z, X ) }.
% 23.24/23.61 parent1[0]: (194) {G4,W8,D2,L2,V3,M2} R(187,163) { coll( X, Y, X ), ! coll
% 23.24/23.61 ( X, Y, Z ) }.
% 23.24/23.61 substitution0:
% 23.24/23.61 X := X
% 23.24/23.61 Y := X
% 23.24/23.61 Z := Y
% 23.24/23.61 end
% 23.24/23.61 substitution1:
% 23.24/23.61 X := X
% 23.24/23.61 Y := Y
% 23.24/23.61 Z := Z
% 23.24/23.61 end
% 23.24/23.61
% 23.24/23.61 subsumption: (230) {G5,W8,D2,L2,V3,M2} R(194,162) { ! coll( X, Y, Z ), coll
% 23.24/23.61 ( X, X, Y ) }.
% 23.24/23.61 parent0: (78969) {G2,W8,D2,L2,V3,M2} { coll( X, X, Y ), ! coll( X, Y, Z )
% 23.24/23.61 }.
% 23.24/23.61 substitution0:
% 23.24/23.61 X := X
% 23.24/23.61 Y := Y
% 23.24/23.61 Z := Z
% 23.24/23.61 end
% 23.24/23.61 permutation0:
% 23.24/23.61 0 ==> 1
% 23.24/23.61 1 ==> 0
% 23.24/23.61 end
% 23.24/23.61
% 23.24/23.61 factor: (78970) {G5,W8,D2,L2,V3,M2} { ! coll( X, Y, Z ), coll( Z, X, X )
% 23.24/23.61 }.
% 23.24/23.61 parent0[0, 1]: (226) {G5,W12,D2,L3,V4,M3} R(194,2) { ! coll( X, Y, Z ), !
% 23.24/23.61 coll( X, Y, T ), coll( T, X, X ) }.
% 23.24/23.61 substitution0:
% 23.24/23.61 X := X
% 23.24/23.61 Y := Y
% 23.24/23.61 Z := Z
% 23.24/23.61 T := Z
% 23.24/23.61 end
% 23.24/23.61
% 23.24/23.61 subsumption: (231) {G6,W8,D2,L2,V3,M2} F(226) { ! coll( X, Y, Z ), coll( Z
% 23.24/23.61 , X, X ) }.
% 23.24/23.61 parent0: (78970) {G5,W8,D2,L2,V3,M2} { ! coll( X, Y, Z ), coll( Z, X, X )
% 23.24/23.61 }.
% 23.24/23.61 substitution0:
% 23.24/23.61 X := X
% 23.24/23.61 Y := Y
% 23.24/23.61 Z := Z
% 23.24/23.61 end
% 23.24/23.61 permutation0:
% 23.24/23.61 0 ==> 0
% 23.24/23.61 1 ==> 1
% 23.24/23.61 end
% 23.24/23.61
% 23.24/23.61 resolution: (78971) {G2,W8,D2,L2,V3,M2} { coll( Z, X, X ), ! coll( Z, X, Y
% 23.24/23.61 ) }.
% 23.24/23.61 parent0[0]: (231) {G6,W8,D2,L2,V3,M2} F(226) { ! coll( X, Y, Z ), coll( Z,
% 23.24/23.61 X, X ) }.
% 23.24/23.61 parent1[1]: (163) {G1,W8,D2,L2,V3,M2} R(1,0) { ! coll( X, Y, Z ), coll( Y,
% 23.24/23.61 Z, X ) }.
% 23.24/23.61 substitution0:
% 23.24/23.61 X := X
% 23.24/23.61 Y := Y
% 23.24/23.61 Z := Z
% 23.24/23.61 end
% 23.24/23.61 substitution1:
% 23.24/23.61 X := Z
% 23.24/23.61 Y := X
% 23.24/23.61 Z := Y
% 23.24/23.61 end
% 23.24/23.61
% 23.24/23.61 subsumption: (232) {G7,W8,D2,L2,V3,M2} R(231,163) { coll( X, Y, Y ), ! coll
% 23.24/23.61 ( X, Y, Z ) }.
% 23.24/23.61 parent0: (78971) {G2,W8,D2,L2,V3,M2} { coll( Z, X, X ), ! coll( Z, X, Y )
% 23.24/23.61 }.
% 23.24/23.61 substitution0:
% 23.24/23.61 X := Y
% 23.24/23.61 Y := Z
% 23.24/23.61 Z := X
% 23.24/23.61 end
% 23.24/23.61 permutation0:
% 23.24/23.61 0 ==> 0
% 23.24/23.61 1 ==> 1
% 23.24/23.61 end
% 23.24/23.61
% 23.24/23.61 resolution: (78973) {G2,W8,D2,L2,V3,M2} { coll( Y, Y, X ), ! coll( X, Y, Z
% 23.24/23.61 ) }.
% 23.24/23.61 parent0[0]: (163) {G1,W8,D2,L2,V3,M2} R(1,0) { ! coll( X, Y, Z ), coll( Y,
% 23.24/23.61 Z, X ) }.
% 23.24/23.61 parent1[0]: (232) {G7,W8,D2,L2,V3,M2} R(231,163) { coll( X, Y, Y ), ! coll
% 23.24/23.61 ( X, Y, Z ) }.
% 23.24/23.61 substitution0:
% 23.24/23.61 X := X
% 23.24/23.61 Y := Y
% 23.24/23.61 Z := Y
% 23.24/23.61 end
% 23.24/23.61 substitution1:
% 23.24/23.61 X := X
% 23.24/23.61 Y := Y
% 23.24/23.61 Z := Z
% 23.24/23.61 end
% 23.24/23.61
% 23.24/23.61 subsumption: (238) {G8,W8,D2,L2,V3,M2} R(232,163) { ! coll( X, Y, Z ), coll
% 23.24/23.61 ( Y, Y, X ) }.
% 23.24/23.61 parent0: (78973) {G2,W8,D2,L2,V3,M2} { coll( Y, Y, X ), ! coll( X, Y, Z )
% 23.24/23.61 }.
% 23.24/23.61 substitution0:
% 23.24/23.61 X := X
% 23.24/23.61 Y := Y
% 23.24/23.61 Z := Z
% 23.24/23.61 end
% 23.24/23.61 permutation0:
% 23.24/23.61 0 ==> 1
% 23.24/23.61 1 ==> 0
% 23.24/23.61 end
% 23.24/23.61
% 23.24/23.61 resolution: (78974) {G1,W5,D2,L1,V0,M1} { perp( skol20, skol25, skol23,
% 23.24/23.61 skol22 ) }.
% 23.24/23.61 parent0[0]: (6) {G0,W10,D2,L2,V4,M2} I { ! perp( X, Y, Z, T ), perp( X, Y,
% 23.24/23.61 T, Z ) }.
% 23.24/23.61 parent1[0]: (118) {G0,W5,D2,L1,V0,M1} I { perp( skol20, skol25, skol22,
% 23.24/23.61 skol23 ) }.
% 23.24/23.61 substitution0:
% 23.24/23.61 X := skol20
% 23.24/23.61 Y := skol25
% 23.24/23.61 Z := skol22
% 23.24/23.61 T := skol23
% 23.24/23.61 end
% 23.24/23.61 substitution1:
% 23.24/23.61 end
% 23.24/23.61
% 23.24/23.61 subsumption: (239) {G1,W5,D2,L1,V0,M1} R(6,118) { perp( skol20, skol25,
% 23.24/23.61 skol23, skol22 ) }.
% 23.24/23.61 parent0: (78974) {G1,W5,D2,L1,V0,M1} { perp( skol20, skol25, skol23,
% 23.24/23.61 skol22 ) }.
% 23.24/23.61 substitution0:
% 23.24/23.61 end
% 23.24/23.61 permutation0:
% 23.24/23.61 0 ==> 0
% 23.24/23.61 end
% 23.24/23.61
% 23.24/23.61 resolution: (78975) {G1,W5,D2,L1,V0,M1} { perp( skol20, skol22, skol23,
% 23.24/23.61 skol25 ) }.
% 23.24/23.61 parent0[0]: (6) {G0,W10,D2,L2,V4,M2} I { ! perp( X, Y, Z, T ), perp( X, Y,
% 23.24/23.61 T, Z ) }.
% 23.24/23.61 parent1[0]: (119) {G0,W5,D2,L1,V0,M1} I { perp( skol20, skol22, skol25,
% 23.24/23.61 skol23 ) }.
% 23.24/23.61 substitution0:
% 23.24/23.61 X := skol20
% 23.24/23.61 Y := skol22
% 23.24/23.61 Z := skol25
% 23.24/23.61 T := skol23
% 23.24/23.61 end
% 23.24/23.61 substitution1:
% 23.24/23.61 end
% 23.24/23.61
% 23.24/23.61 subsumption: (240) {G1,W5,D2,L1,V0,M1} R(6,119) { perp( skol20, skol22,
% 23.24/23.61 skol23, skol25 ) }.
% 23.24/23.61 parent0: (78975) {G1,W5,D2,L1,V0,M1} { perp( skol20, skol22, skol23,
% 23.24/23.61 skol25 ) }.
% 23.24/23.61 substitution0:
% 23.24/23.61 end
% 23.24/23.61 permutation0:
% 23.24/23.61 0 ==> 0
% 23.24/23.61 end
% 23.24/23.61
% 23.24/23.61 resolution: (78976) {G1,W5,D2,L1,V0,M1} { perp( skol20, skol26, skol24,
% 23.24/23.61 skol22 ) }.
% 23.24/23.61 parent0[0]: (6) {G0,W10,D2,L2,V4,M2} I { ! perp( X, Y, Z, T ), perp( X, Y,
% 23.24/23.61 T, Z ) }.
% 23.24/23.61 parent1[0]: (121) {G0,W5,D2,L1,V0,M1} I { perp( skol20, skol26, skol22,
% 23.24/23.61 skol24 ) }.
% 23.24/23.61 substitution0:
% 23.24/23.61 X := skol20
% 23.24/23.61 Y := skol26
% 23.24/23.61 Z := skol22
% 23.24/23.61 T := skol24
% 23.24/23.61 end
% 23.24/23.61 substitution1:
% 23.24/23.61 end
% 23.24/23.61
% 23.24/23.61 subsumption: (242) {G1,W5,D2,L1,V0,M1} R(6,121) { perp( skol20, skol26,
% 23.24/23.61 skol24, skol22 ) }.
% 23.24/23.61 parent0: (78976) {G1,W5,D2,L1,V0,M1} { perp( skol20, skol26, skol24,
% 23.24/23.61 skol22 ) }.
% 23.24/23.61 substitution0:
% 23.24/23.61 end
% 23.24/23.61 permutation0:
% 23.24/23.61 0 ==> 0
% 23.24/23.61 end
% 23.24/23.61
% 23.24/23.61 resolution: (78977) {G1,W5,D2,L1,V0,M1} { perp( skol20, skol22, skol24,
% 23.24/23.61 skol26 ) }.
% 23.24/23.61 parent0[0]: (6) {G0,W10,D2,L2,V4,M2} I { ! perp( X, Y, Z, T ), perp( X, Y,
% 23.24/23.61 T, Z ) }.
% 23.24/23.61 parent1[0]: (122) {G0,W5,D2,L1,V0,M1} I { perp( skol20, skol22, skol26,
% 23.24/23.61 skol24 ) }.
% 23.24/23.61 substitution0:
% 23.24/23.61 X := skol20
% 23.24/23.61 Y := skol22
% 23.24/23.61 Z := skol26
% 23.24/23.61 T := skol24
% 23.24/23.61 end
% 23.24/23.61 substitution1:
% 23.24/23.61 end
% 23.24/23.61
% 23.24/23.61 subsumption: (243) {G1,W5,D2,L1,V0,M1} R(6,122) { perp( skol20, skol22,
% 23.24/23.61 skol24, skol26 ) }.
% 23.24/23.61 parent0: (78977) {G1,W5,D2,L1,V0,M1} { perp( skol20, skol22, skol24,
% 23.24/23.62 skol26 ) }.
% 23.24/23.62 substitution0:
% 23.24/23.62 end
% 23.24/23.62 permutation0:
% 23.24/23.62 0 ==> 0
% 23.24/23.62 end
% 23.24/23.62
% 23.24/23.62 resolution: (78978) {G1,W5,D2,L1,V0,M1} { perp( skol24, skol22, skol20,
% 23.24/23.62 skol26 ) }.
% 23.24/23.62 parent0[0]: (7) {G0,W10,D2,L2,V4,M2} I { ! perp( X, Y, Z, T ), perp( Z, T,
% 23.24/23.62 X, Y ) }.
% 23.24/23.62 parent1[0]: (242) {G1,W5,D2,L1,V0,M1} R(6,121) { perp( skol20, skol26,
% 23.24/23.62 skol24, skol22 ) }.
% 23.24/23.62 substitution0:
% 23.24/23.62 X := skol20
% 23.24/23.62 Y := skol26
% 23.24/23.62 Z := skol24
% 23.24/23.62 T := skol22
% 23.24/23.62 end
% 23.24/23.62 substitution1:
% 23.24/23.62 end
% 23.24/23.62
% 23.24/23.62 subsumption: (245) {G2,W5,D2,L1,V0,M1} R(7,242) { perp( skol24, skol22,
% 23.24/23.62 skol20, skol26 ) }.
% 23.24/23.62 parent0: (78978) {G1,W5,D2,L1,V0,M1} { perp( skol24, skol22, skol20,
% 23.24/23.62 skol26 ) }.
% 23.24/23.62 substitution0:
% 23.24/23.62 end
% 23.24/23.62 permutation0:
% 23.24/23.62 0 ==> 0
% 23.24/23.62 end
% 23.24/23.62
% 23.24/23.62 resolution: (78979) {G1,W5,D2,L1,V0,M1} { perp( skol23, skol25, skol20,
% 23.24/23.62 skol22 ) }.
% 23.24/23.62 parent0[0]: (7) {G0,W10,D2,L2,V4,M2} I { ! perp( X, Y, Z, T ), perp( Z, T,
% 23.24/23.62 X, Y ) }.
% 23.24/23.62 parent1[0]: (240) {G1,W5,D2,L1,V0,M1} R(6,119) { perp( skol20, skol22,
% 23.24/23.62 skol23, skol25 ) }.
% 23.24/23.62 substitution0:
% 23.24/23.62 X := skol20
% 23.24/23.62 Y := skol22
% 23.24/23.62 Z := skol23
% 23.24/23.62 T := skol25
% 23.24/23.62 end
% 23.24/23.62 substitution1:
% 23.24/23.62 end
% 23.24/23.62
% 23.24/23.62 subsumption: (247) {G2,W5,D2,L1,V0,M1} R(7,240) { perp( skol23, skol25,
% 23.24/23.62 skol20, skol22 ) }.
% 23.24/23.62 parent0: (78979) {G1,W5,D2,L1,V0,M1} { perp( skol23, skol25, skol20,
% 23.24/23.62 skol22 ) }.
% 23.24/23.62 substitution0:
% 23.24/23.62 end
% 23.24/23.62 permutation0:
% 23.24/23.62 0 ==> 0
% 23.24/23.62 end
% 23.24/23.62
% 23.24/23.62 resolution: (78980) {G1,W5,D2,L1,V0,M1} { perp( skol23, skol22, skol20,
% 23.24/23.62 skol25 ) }.
% 23.24/23.62 parent0[0]: (7) {G0,W10,D2,L2,V4,M2} I { ! perp( X, Y, Z, T ), perp( Z, T,
% 23.24/23.62 X, Y ) }.
% 23.24/23.62 parent1[0]: (239) {G1,W5,D2,L1,V0,M1} R(6,118) { perp( skol20, skol25,
% 23.24/23.62 skol23, skol22 ) }.
% 23.24/23.62 substitution0:
% 23.24/23.62 X := skol20
% 23.24/23.62 Y := skol25
% 23.24/23.62 Z := skol23
% 23.24/23.62 T := skol22
% 23.24/23.62 end
% 23.24/23.62 substitution1:
% 23.24/23.62 end
% 23.24/23.62
% 23.24/23.62 subsumption: (248) {G2,W5,D2,L1,V0,M1} R(7,239) { perp( skol23, skol22,
% 23.24/23.62 skol20, skol25 ) }.
% 23.24/23.62 parent0: (78980) {G1,W5,D2,L1,V0,M1} { perp( skol23, skol22, skol20,
% 23.24/23.62 skol25 ) }.
% 23.24/23.62 substitution0:
% 23.24/23.62 end
% 23.24/23.62 permutation0:
% 23.24/23.62 0 ==> 0
% 23.24/23.62 end
% 23.24/23.62
% 23.24/23.62 resolution: (78981) {G1,W5,D2,L1,V0,M1} { perp( skol22, skol23, skol20,
% 23.24/23.62 skol25 ) }.
% 23.24/23.62 parent0[0]: (7) {G0,W10,D2,L2,V4,M2} I { ! perp( X, Y, Z, T ), perp( Z, T,
% 23.24/23.62 X, Y ) }.
% 23.24/23.62 parent1[0]: (118) {G0,W5,D2,L1,V0,M1} I { perp( skol20, skol25, skol22,
% 23.24/23.62 skol23 ) }.
% 23.24/23.62 substitution0:
% 23.24/23.62 X := skol20
% 23.24/23.62 Y := skol25
% 23.24/23.62 Z := skol22
% 23.24/23.62 T := skol23
% 23.24/23.62 end
% 23.24/23.62 substitution1:
% 23.24/23.62 end
% 23.24/23.62
% 23.24/23.62 subsumption: (251) {G1,W5,D2,L1,V0,M1} R(7,118) { perp( skol22, skol23,
% 23.24/23.62 skol20, skol25 ) }.
% 23.24/23.62 parent0: (78981) {G1,W5,D2,L1,V0,M1} { perp( skol22, skol23, skol20,
% 23.24/23.62 skol25 ) }.
% 23.24/23.62 substitution0:
% 23.24/23.62 end
% 23.24/23.62 permutation0:
% 23.24/23.62 0 ==> 0
% 23.24/23.62 end
% 23.24/23.62
% 23.24/23.62 resolution: (78982) {G1,W15,D2,L3,V6,M3} { ! perp( Z, T, U, W ), para( X,
% 23.24/23.62 Y, U, W ), ! perp( Z, T, X, Y ) }.
% 23.24/23.62 parent0[0]: (8) {G0,W15,D2,L3,V6,M3} I { ! perp( X, Y, U, W ), ! perp( U, W
% 23.24/23.62 , Z, T ), para( X, Y, Z, T ) }.
% 23.24/23.62 parent1[1]: (7) {G0,W10,D2,L2,V4,M2} I { ! perp( X, Y, Z, T ), perp( Z, T,
% 23.24/23.62 X, Y ) }.
% 23.24/23.62 substitution0:
% 23.24/23.62 X := X
% 23.24/23.62 Y := Y
% 23.24/23.62 Z := U
% 23.24/23.62 T := W
% 23.24/23.62 U := Z
% 23.24/23.62 W := T
% 23.24/23.62 end
% 23.24/23.62 substitution1:
% 23.24/23.62 X := Z
% 23.24/23.62 Y := T
% 23.24/23.62 Z := X
% 23.24/23.62 T := Y
% 23.24/23.62 end
% 23.24/23.62
% 23.24/23.62 subsumption: (269) {G1,W15,D2,L3,V6,M3} R(8,7) { ! perp( X, Y, Z, T ), para
% 23.24/23.62 ( U, W, Z, T ), ! perp( X, Y, U, W ) }.
% 23.24/23.62 parent0: (78982) {G1,W15,D2,L3,V6,M3} { ! perp( Z, T, U, W ), para( X, Y,
% 23.24/23.62 U, W ), ! perp( Z, T, X, Y ) }.
% 23.24/23.62 substitution0:
% 23.24/23.62 X := U
% 23.24/23.62 Y := W
% 23.24/23.62 Z := X
% 23.24/23.62 T := Y
% 23.24/23.62 U := Z
% 23.24/23.62 W := T
% 23.24/23.62 end
% 23.24/23.62 permutation0:
% 23.24/23.62 0 ==> 0
% 23.24/23.62 1 ==> 1
% 23.24/23.62 2 ==> 2
% 23.24/23.62 end
% 23.24/23.62
% 23.24/23.62 factor: (78986) {G1,W10,D2,L2,V4,M2} { ! perp( X, Y, Z, T ), para( Z, T, Z
% 23.24/23.62 , T ) }.
% 23.24/23.62 parent0[0, 2]: (269) {G1,W15,D2,L3,V6,M3} R(8,7) { ! perp( X, Y, Z, T ),
% 23.24/23.62 para( U, W, Z, T ), ! perp( X, Y, U, W ) }.
% 23.24/23.62 substitution0:
% 23.24/23.62 X := X
% 23.24/23.62 Y := Y
% 23.24/23.62 Z := Z
% 23.24/23.62 T := T
% 23.24/23.62 U := Z
% 23.24/23.62 W := T
% 23.24/23.62 end
% 23.24/23.62
% 23.24/23.62 subsumption: (299) {G2,W10,D2,L2,V4,M2} F(269) { ! perp( X, Y, Z, T ), para
% 23.24/23.62 ( Z, T, Z, T ) }.
% 23.24/23.62 parent0: (78986) {G1,W10,D2,L2,V4,M2} { ! perp( X, Y, Z, T ), para( Z, T,
% 23.24/23.62 Z, T ) }.
% 23.24/23.62 substitution0:
% 23.24/23.62 X := X
% 23.24/23.62 Y := Y
% 23.24/23.62 Z := Z
% 23.24/23.62 T := T
% 23.24/23.62 end
% 23.24/23.62 permutation0:
% 23.24/23.62 0 ==> 0
% 23.24/23.62 1 ==> 1
% 23.24/23.62 end
% 23.24/23.62
% 23.24/23.62 resolution: (78987) {G1,W5,D2,L1,V0,M1} { perp( skol23, skol25, skol22,
% 23.24/23.62 skol20 ) }.
% 23.24/23.62 parent0[0]: (6) {G0,W10,D2,L2,V4,M2} I { ! perp( X, Y, Z, T ), perp( X, Y,
% 23.24/23.62 T, Z ) }.
% 23.24/23.62 parent1[0]: (247) {G2,W5,D2,L1,V0,M1} R(7,240) { perp( skol23, skol25,
% 23.24/23.62 skol20, skol22 ) }.
% 23.24/23.62 substitution0:
% 23.24/23.62 X := skol23
% 23.24/23.62 Y := skol25
% 23.24/23.62 Z := skol20
% 23.24/23.62 T := skol22
% 23.24/23.62 end
% 23.24/23.62 substitution1:
% 23.24/23.62 end
% 23.24/23.62
% 23.24/23.62 subsumption: (347) {G3,W5,D2,L1,V0,M1} R(247,6) { perp( skol23, skol25,
% 23.24/23.62 skol22, skol20 ) }.
% 23.24/23.62 parent0: (78987) {G1,W5,D2,L1,V0,M1} { perp( skol23, skol25, skol22,
% 23.24/23.62 skol20 ) }.
% 23.24/23.62 substitution0:
% 23.24/23.62 end
% 23.24/23.62 permutation0:
% 23.24/23.62 0 ==> 0
% 23.24/23.62 end
% 23.24/23.62
% 23.24/23.62 resolution: (78988) {G1,W5,D2,L1,V0,M1} { perp( skol22, skol20, skol23,
% 23.24/23.62 skol25 ) }.
% 23.24/23.62 parent0[0]: (7) {G0,W10,D2,L2,V4,M2} I { ! perp( X, Y, Z, T ), perp( Z, T,
% 23.24/23.62 X, Y ) }.
% 23.24/23.62 parent1[0]: (347) {G3,W5,D2,L1,V0,M1} R(247,6) { perp( skol23, skol25,
% 23.24/23.62 skol22, skol20 ) }.
% 23.24/23.62 substitution0:
% 23.24/23.62 X := skol23
% 23.24/23.62 Y := skol25
% 23.24/23.62 Z := skol22
% 23.24/23.62 T := skol20
% 23.24/23.62 end
% 23.24/23.62 substitution1:
% 23.24/23.62 end
% 23.24/23.62
% 23.24/23.62 subsumption: (351) {G4,W5,D2,L1,V0,M1} R(347,7) { perp( skol22, skol20,
% 23.24/23.62 skol23, skol25 ) }.
% 23.24/23.62 parent0: (78988) {G1,W5,D2,L1,V0,M1} { perp( skol22, skol20, skol23,
% 23.24/23.62 skol25 ) }.
% 23.24/23.62 substitution0:
% 23.24/23.62 end
% 23.24/23.62 permutation0:
% 23.24/23.62 0 ==> 0
% 23.24/23.62 end
% 23.24/23.62
% 23.24/23.62 resolution: (78989) {G1,W5,D2,L1,V0,M1} { perp( skol22, skol20, skol25,
% 23.24/23.62 skol23 ) }.
% 23.24/23.62 parent0[0]: (6) {G0,W10,D2,L2,V4,M2} I { ! perp( X, Y, Z, T ), perp( X, Y,
% 23.24/23.62 T, Z ) }.
% 23.24/23.62 parent1[0]: (351) {G4,W5,D2,L1,V0,M1} R(347,7) { perp( skol22, skol20,
% 23.24/23.62 skol23, skol25 ) }.
% 23.24/23.62 substitution0:
% 23.24/23.62 X := skol22
% 23.24/23.62 Y := skol20
% 23.24/23.62 Z := skol23
% 23.24/23.62 T := skol25
% 23.24/23.62 end
% 23.24/23.62 substitution1:
% 23.24/23.62 end
% 23.24/23.62
% 23.24/23.62 subsumption: (359) {G5,W5,D2,L1,V0,M1} R(351,6) { perp( skol22, skol20,
% 23.24/23.62 skol25, skol23 ) }.
% 23.24/23.62 parent0: (78989) {G1,W5,D2,L1,V0,M1} { perp( skol22, skol20, skol25,
% 23.24/23.62 skol23 ) }.
% 23.24/23.62 substitution0:
% 23.24/23.62 end
% 23.24/23.62 permutation0:
% 23.24/23.62 0 ==> 0
% 23.24/23.62 end
% 23.24/23.62
% 23.24/23.62 resolution: (78990) {G1,W5,D2,L1,V0,M1} { perp( skol25, skol23, skol22,
% 23.24/23.62 skol20 ) }.
% 23.24/23.62 parent0[0]: (7) {G0,W10,D2,L2,V4,M2} I { ! perp( X, Y, Z, T ), perp( Z, T,
% 23.24/23.62 X, Y ) }.
% 23.24/23.62 parent1[0]: (359) {G5,W5,D2,L1,V0,M1} R(351,6) { perp( skol22, skol20,
% 23.24/23.62 skol25, skol23 ) }.
% 23.24/23.62 substitution0:
% 23.24/23.62 X := skol22
% 23.24/23.62 Y := skol20
% 23.24/23.62 Z := skol25
% 23.24/23.62 T := skol23
% 23.24/23.62 end
% 23.24/23.62 substitution1:
% 23.24/23.62 end
% 23.24/23.62
% 23.24/23.62 subsumption: (363) {G6,W5,D2,L1,V0,M1} R(359,7) { perp( skol25, skol23,
% 23.24/23.62 skol22, skol20 ) }.
% 23.24/23.62 parent0: (78990) {G1,W5,D2,L1,V0,M1} { perp( skol25, skol23, skol22,
% 23.24/23.62 skol20 ) }.
% 23.24/23.62 substitution0:
% 23.24/23.62 end
% 23.24/23.62 permutation0:
% 23.24/23.62 0 ==> 0
% 23.24/23.62 end
% 23.24/23.62
% 23.24/23.62 resolution: (78991) {G1,W5,D2,L1,V0,M1} { perp( skol23, skol22, skol25,
% 23.24/23.62 skol20 ) }.
% 23.24/23.62 parent0[0]: (6) {G0,W10,D2,L2,V4,M2} I { ! perp( X, Y, Z, T ), perp( X, Y,
% 23.24/23.62 T, Z ) }.
% 23.24/23.62 parent1[0]: (248) {G2,W5,D2,L1,V0,M1} R(7,239) { perp( skol23, skol22,
% 23.24/23.62 skol20, skol25 ) }.
% 23.24/23.62 substitution0:
% 23.24/23.62 X := skol23
% 23.24/23.62 Y := skol22
% 23.24/23.62 Z := skol20
% 23.24/23.62 T := skol25
% 23.24/23.62 end
% 23.24/23.62 substitution1:
% 23.24/23.62 end
% 23.24/23.62
% 23.24/23.62 subsumption: (370) {G3,W5,D2,L1,V0,M1} R(248,6) { perp( skol23, skol22,
% 23.24/23.62 skol25, skol20 ) }.
% 23.24/23.62 parent0: (78991) {G1,W5,D2,L1,V0,M1} { perp( skol23, skol22, skol25,
% 23.24/23.62 skol20 ) }.
% 23.24/23.62 substitution0:
% 23.24/23.62 end
% 23.24/23.62 permutation0:
% 23.24/23.62 0 ==> 0
% 23.24/23.62 end
% 23.24/23.62
% 23.24/23.62 resolution: (78992) {G1,W5,D2,L1,V0,M1} { perp( skol25, skol20, skol23,
% 23.24/23.62 skol22 ) }.
% 23.24/23.62 parent0[0]: (7) {G0,W10,D2,L2,V4,M2} I { ! perp( X, Y, Z, T ), perp( Z, T,
% 23.24/23.62 X, Y ) }.
% 23.24/23.62 parent1[0]: (370) {G3,W5,D2,L1,V0,M1} R(248,6) { perp( skol23, skol22,
% 23.24/23.62 skol25, skol20 ) }.
% 23.24/23.62 substitution0:
% 23.24/23.62 X := skol23
% 23.24/23.62 Y := skol22
% 23.24/23.62 Z := skol25
% 23.24/23.62 T := skol20
% 23.24/23.62 end
% 23.24/23.62 substitution1:
% 23.24/23.62 end
% 23.24/23.62
% 23.24/23.62 subsumption: (374) {G4,W5,D2,L1,V0,M1} R(370,7) { perp( skol25, skol20,
% 23.24/23.62 skol23, skol22 ) }.
% 23.24/23.62 parent0: (78992) {G1,W5,D2,L1,V0,M1} { perp( skol25, skol20, skol23,
% 23.24/23.62 skol22 ) }.
% 23.24/23.62 substitution0:
% 23.24/23.62 end
% 23.24/23.62 permutation0:
% 23.24/23.62 0 ==> 0
% 23.24/23.62 end
% 23.24/23.62
% 23.24/23.62 resolution: (78993) {G1,W5,D2,L1,V0,M1} { perp( skol25, skol20, skol22,
% 23.24/23.62 skol23 ) }.
% 23.24/23.62 parent0[0]: (6) {G0,W10,D2,L2,V4,M2} I { ! perp( X, Y, Z, T ), perp( X, Y,
% 23.24/23.62 T, Z ) }.
% 23.24/23.62 parent1[0]: (374) {G4,W5,D2,L1,V0,M1} R(370,7) { perp( skol25, skol20,
% 23.24/23.62 skol23, skol22 ) }.
% 23.24/23.62 substitution0:
% 23.24/23.62 X := skol25
% 23.24/23.62 Y := skol20
% 23.24/23.62 Z := skol23
% 23.24/23.62 T := skol22
% 23.24/23.62 end
% 23.24/23.62 substitution1:
% 23.24/23.62 end
% 23.24/23.62
% 23.24/23.62 subsumption: (378) {G5,W5,D2,L1,V0,M1} R(374,6) { perp( skol25, skol20,
% 23.24/23.62 skol22, skol23 ) }.
% 23.24/23.62 parent0: (78993) {G1,W5,D2,L1,V0,M1} { perp( skol25, skol20, skol22,
% 23.24/23.62 skol23 ) }.
% 23.24/23.62 substitution0:
% 23.24/23.62 end
% 23.24/23.62 permutation0:
% 23.24/23.62 0 ==> 0
% 23.24/23.62 end
% 23.24/23.62
% 23.24/23.62 resolution: (78994) {G1,W5,D2,L1,V0,M1} { perp( skol22, skol23, skol25,
% 23.24/23.62 skol20 ) }.
% 23.24/23.62 parent0[0]: (7) {G0,W10,D2,L2,V4,M2} I { ! perp( X, Y, Z, T ), perp( Z, T,
% 23.24/23.62 X, Y ) }.
% 23.24/23.62 parent1[0]: (378) {G5,W5,D2,L1,V0,M1} R(374,6) { perp( skol25, skol20,
% 23.24/23.62 skol22, skol23 ) }.
% 23.24/23.62 substitution0:
% 23.24/23.62 X := skol25
% 23.24/23.62 Y := skol20
% 23.24/23.62 Z := skol22
% 23.24/23.62 T := skol23
% 23.24/23.62 end
% 23.24/23.62 substitution1:
% 23.24/23.62 end
% 23.24/23.62
% 23.24/23.62 subsumption: (382) {G6,W5,D2,L1,V0,M1} R(378,7) { perp( skol22, skol23,
% 23.24/23.62 skol25, skol20 ) }.
% 23.24/23.62 parent0: (78994) {G1,W5,D2,L1,V0,M1} { perp( skol22, skol23, skol25,
% 23.24/23.62 skol20 ) }.
% 23.24/23.62 substitution0:
% 23.24/23.62 end
% 23.24/23.62 permutation0:
% 23.24/23.62 0 ==> 0
% 23.24/23.62 end
% 23.24/23.62
% 23.24/23.62 resolution: (78995) {G1,W10,D2,L2,V2,M2} { ! perp( skol20, skol25, X, Y )
% 23.24/23.62 , para( skol22, skol23, X, Y ) }.
% 23.24/23.62 parent0[0]: (8) {G0,W15,D2,L3,V6,M3} I { ! perp( X, Y, U, W ), ! perp( U, W
% 23.24/23.62 , Z, T ), para( X, Y, Z, T ) }.
% 23.24/23.62 parent1[0]: (251) {G1,W5,D2,L1,V0,M1} R(7,118) { perp( skol22, skol23,
% 23.24/23.62 skol20, skol25 ) }.
% 23.24/23.62 substitution0:
% 23.24/23.62 X := skol22
% 23.24/23.62 Y := skol23
% 23.24/23.62 Z := X
% 23.24/23.62 T := Y
% 23.24/23.62 U := skol20
% 23.24/23.62 W := skol25
% 23.24/23.62 end
% 23.24/23.62 substitution1:
% 23.24/23.62 end
% 23.24/23.62
% 23.24/23.62 subsumption: (388) {G2,W10,D2,L2,V2,M2} R(251,8) { ! perp( skol20, skol25,
% 23.24/23.62 X, Y ), para( skol22, skol23, X, Y ) }.
% 23.24/23.62 parent0: (78995) {G1,W10,D2,L2,V2,M2} { ! perp( skol20, skol25, X, Y ),
% 23.24/23.62 para( skol22, skol23, X, Y ) }.
% 23.24/23.62 substitution0:
% 23.24/23.62 X := X
% 23.24/23.62 Y := Y
% 23.24/23.62 end
% 23.24/23.62 permutation0:
% 23.24/23.62 0 ==> 0
% 23.24/23.62 1 ==> 1
% 23.24/23.62 end
% 23.24/23.62
% 23.24/23.62 resolution: (78997) {G1,W5,D2,L1,V0,M1} { ! cyclic( skol20, skol23, skol24
% 23.24/23.62 , skol22 ) }.
% 23.24/23.62 parent0[0]: (124) {G0,W5,D2,L1,V0,M1} I { ! cyclic( skol20, skol23, skol22
% 23.24/23.62 , skol24 ) }.
% 23.24/23.62 parent1[1]: (13) {G0,W10,D2,L2,V4,M2} I { ! cyclic( X, Y, Z, T ), cyclic( X
% 23.24/23.62 , Y, T, Z ) }.
% 23.24/23.62 substitution0:
% 23.24/23.62 end
% 23.24/23.62 substitution1:
% 23.24/23.62 X := skol20
% 23.24/23.62 Y := skol23
% 23.24/23.62 Z := skol24
% 23.24/23.62 T := skol22
% 23.24/23.62 end
% 23.24/23.62
% 23.24/23.62 subsumption: (399) {G1,W5,D2,L1,V0,M1} R(13,124) { ! cyclic( skol20, skol23
% 23.24/23.62 , skol24, skol22 ) }.
% 23.24/23.62 parent0: (78997) {G1,W5,D2,L1,V0,M1} { ! cyclic( skol20, skol23, skol24,
% 23.24/23.62 skol22 ) }.
% 23.24/23.62 substitution0:
% 23.24/23.62 end
% 23.24/23.62 permutation0:
% 23.24/23.62 0 ==> 0
% 23.24/23.62 end
% 23.24/23.62
% 23.24/23.62 resolution: (78999) {G1,W10,D2,L2,V4,M2} { cyclic( X, Y, T, Z ), ! cyclic
% 23.24/23.62 ( X, Z, Y, T ) }.
% 23.24/23.62 parent0[0]: (13) {G0,W10,D2,L2,V4,M2} I { ! cyclic( X, Y, Z, T ), cyclic( X
% 23.24/23.62 , Y, T, Z ) }.
% 23.24/23.62 parent1[1]: (14) {G0,W10,D2,L2,V4,M2} I { ! cyclic( X, Y, Z, T ), cyclic( X
% 23.24/23.62 , Z, Y, T ) }.
% 23.24/23.62 substitution0:
% 23.24/23.62 X := X
% 23.24/23.62 Y := Y
% 23.24/23.62 Z := Z
% 23.24/23.62 T := T
% 23.24/23.62 end
% 23.24/23.62 substitution1:
% 23.24/23.62 X := X
% 23.24/23.62 Y := Z
% 23.24/23.62 Z := Y
% 23.24/23.62 T := T
% 23.24/23.62 end
% 23.24/23.62
% 23.24/23.62 subsumption: (414) {G1,W10,D2,L2,V4,M2} R(14,13) { ! cyclic( X, Y, Z, T ),
% 23.24/23.62 cyclic( X, Z, T, Y ) }.
% 23.24/23.62 parent0: (78999) {G1,W10,D2,L2,V4,M2} { cyclic( X, Y, T, Z ), ! cyclic( X
% 23.24/23.62 , Z, Y, T ) }.
% 23.24/23.62 substitution0:
% 23.24/23.62 X := X
% 23.24/23.62 Y := Z
% 23.24/23.62 Z := Y
% 23.24/23.62 T := T
% 23.24/23.62 end
% 23.24/23.62 permutation0:
% 23.24/23.62 0 ==> 1
% 23.24/23.62 1 ==> 0
% 23.24/23.62 end
% 23.24/23.62
% 23.24/23.62 resolution: (79000) {G1,W10,D2,L2,V4,M2} { cyclic( Y, X, Z, T ), ! cyclic
% 23.24/23.62 ( X, Z, Y, T ) }.
% 23.24/23.62 parent0[0]: (15) {G0,W10,D2,L2,V4,M2} I { ! cyclic( X, Y, Z, T ), cyclic( Y
% 23.24/23.62 , X, Z, T ) }.
% 23.24/23.62 parent1[1]: (14) {G0,W10,D2,L2,V4,M2} I { ! cyclic( X, Y, Z, T ), cyclic( X
% 23.24/23.62 , Z, Y, T ) }.
% 23.24/23.62 substitution0:
% 23.24/23.62 X := X
% 23.24/23.62 Y := Y
% 23.24/23.62 Z := Z
% 23.24/23.62 T := T
% 23.24/23.62 end
% 23.24/23.62 substitution1:
% 23.24/23.62 X := X
% 23.24/23.62 Y := Z
% 23.24/23.62 Z := Y
% 23.24/23.62 T := T
% 23.24/23.62 end
% 23.24/23.62
% 23.24/23.62 subsumption: (422) {G1,W10,D2,L2,V4,M2} R(15,14) { cyclic( X, Y, Z, T ), !
% 23.24/23.62 cyclic( Y, Z, X, T ) }.
% 23.24/23.62 parent0: (79000) {G1,W10,D2,L2,V4,M2} { cyclic( Y, X, Z, T ), ! cyclic( X
% 23.24/23.62 , Z, Y, T ) }.
% 23.24/23.62 substitution0:
% 23.24/23.62 X := Y
% 23.24/23.62 Y := X
% 23.24/23.62 Z := Z
% 23.24/23.62 T := T
% 23.24/23.62 end
% 23.24/23.62 permutation0:
% 23.24/23.62 0 ==> 0
% 23.24/23.62 1 ==> 1
% 23.24/23.62 end
% 23.24/23.62
% 23.24/23.62 resolution: (79001) {G1,W5,D2,L1,V0,M1} { ! cyclic( skol23, skol20, skol24
% 23.24/23.62 , skol22 ) }.
% 23.24/23.62 parent0[0]: (399) {G1,W5,D2,L1,V0,M1} R(13,124) { ! cyclic( skol20, skol23
% 23.24/23.62 , skol24, skol22 ) }.
% 23.24/23.62 parent1[1]: (15) {G0,W10,D2,L2,V4,M2} I { ! cyclic( X, Y, Z, T ), cyclic( Y
% 23.24/23.62 , X, Z, T ) }.
% 23.24/23.62 substitution0:
% 23.24/23.62 end
% 23.24/23.62 substitution1:
% 23.24/23.62 X := skol23
% 23.24/23.62 Y := skol20
% 23.24/23.62 Z := skol24
% 23.24/23.62 T := skol22
% 23.24/23.62 end
% 23.24/23.62
% 23.24/23.62 subsumption: (424) {G2,W5,D2,L1,V0,M1} R(15,399) { ! cyclic( skol23, skol20
% 23.24/23.62 , skol24, skol22 ) }.
% 23.24/23.62 parent0: (79001) {G1,W5,D2,L1,V0,M1} { ! cyclic( skol23, skol20, skol24,
% 23.24/23.62 skol22 ) }.
% 23.24/23.62 substitution0:
% 23.24/23.62 end
% 23.24/23.62 permutation0:
% 23.24/23.62 0 ==> 0
% 23.24/23.62 end
% 23.24/23.62
% 23.24/23.62 resolution: (79002) {G1,W10,D2,L2,V4,M2} { cyclic( Y, X, Z, T ), ! cyclic
% 23.24/23.62 ( X, Y, T, Z ) }.
% 23.24/23.62 parent0[0]: (15) {G0,W10,D2,L2,V4,M2} I { ! cyclic( X, Y, Z, T ), cyclic( Y
% 23.24/23.62 , X, Z, T ) }.
% 23.24/23.62 parent1[1]: (13) {G0,W10,D2,L2,V4,M2} I { ! cyclic( X, Y, Z, T ), cyclic( X
% 23.24/23.62 , Y, T, Z ) }.
% 23.24/23.62 substitution0:
% 23.24/23.62 X := X
% 23.24/23.62 Y := Y
% 23.24/23.62 Z := Z
% 23.24/23.62 T := T
% 23.24/23.62 end
% 23.24/23.62 substitution1:
% 23.24/23.62 X := X
% 23.24/23.62 Y := Y
% 23.24/23.62 Z := T
% 23.24/23.62 T := Z
% 23.24/23.62 end
% 23.24/23.62
% 23.24/23.62 subsumption: (425) {G1,W10,D2,L2,V4,M2} R(15,13) { cyclic( X, Y, Z, T ), !
% 23.24/23.62 cyclic( Y, X, T, Z ) }.
% 23.24/23.62 parent0: (79002) {G1,W10,D2,L2,V4,M2} { cyclic( Y, X, Z, T ), ! cyclic( X
% 23.24/23.62 , Y, T, Z ) }.
% 23.24/23.62 substitution0:
% 23.24/23.62 X := Y
% 23.24/23.62 Y := X
% 23.24/23.62 Z := Z
% 23.24/23.62 T := T
% 23.24/23.62 end
% 23.24/23.62 permutation0:
% 23.24/23.62 0 ==> 0
% 23.24/23.62 1 ==> 1
% 23.24/23.62 end
% 23.24/23.62
% 23.24/23.62 resolution: (79006) {G1,W15,D2,L3,V5,M3} { cyclic( Y, X, Z, T ), ! cyclic
% 23.24/23.62 ( U, X, Y, Z ), ! cyclic( U, X, Y, T ) }.
% 23.24/23.62 parent0[0]: (15) {G0,W10,D2,L2,V4,M2} I { ! cyclic( X, Y, Z, T ), cyclic( Y
% 23.24/23.62 , X, Z, T ) }.
% 23.24/23.62 parent1[2]: (16) {G0,W15,D2,L3,V5,M3} I { ! cyclic( U, X, Y, Z ), ! cyclic
% 23.24/23.62 ( U, X, Y, T ), cyclic( X, Y, Z, T ) }.
% 23.24/23.62 substitution0:
% 23.24/23.62 X := X
% 23.24/23.62 Y := Y
% 23.24/23.62 Z := Z
% 23.24/23.62 T := T
% 23.24/23.62 end
% 23.24/23.62 substitution1:
% 23.24/23.62 X := X
% 23.24/23.62 Y := Y
% 23.24/23.62 Z := Z
% 23.24/23.62 T := T
% 23.24/23.62 U := U
% 23.24/23.62 end
% 23.24/23.62
% 23.24/23.62 subsumption: (446) {G1,W15,D2,L3,V5,M3} R(16,15) { ! cyclic( X, Y, Z, T ),
% 23.24/23.62 ! cyclic( X, Y, Z, U ), cyclic( Z, Y, T, U ) }.
% 23.24/23.62 parent0: (79006) {G1,W15,D2,L3,V5,M3} { cyclic( Y, X, Z, T ), ! cyclic( U
% 23.24/23.62 , X, Y, Z ), ! cyclic( U, X, Y, T ) }.
% 23.24/23.62 substitution0:
% 23.24/23.62 X := Y
% 23.24/23.62 Y := Z
% 23.24/23.62 Z := T
% 23.24/23.62 T := U
% 23.24/23.62 U := X
% 23.24/23.62 end
% 23.24/23.62 permutation0:
% 23.24/23.62 0 ==> 2
% 23.24/23.62 1 ==> 0
% 23.24/23.62 2 ==> 1
% 23.24/23.62 end
% 23.24/23.62
% 23.24/23.62 resolution: (79009) {G1,W15,D2,L3,V5,M3} { ! cyclic( X, Y, Z, T ), cyclic
% 23.24/23.62 ( Y, Z, T, U ), ! cyclic( X, Y, U, Z ) }.
% 23.24/23.62 parent0[1]: (16) {G0,W15,D2,L3,V5,M3} I { ! cyclic( U, X, Y, Z ), ! cyclic
% 23.24/23.62 ( U, X, Y, T ), cyclic( X, Y, Z, T ) }.
% 23.24/23.62 parent1[1]: (13) {G0,W10,D2,L2,V4,M2} I { ! cyclic( X, Y, Z, T ), cyclic( X
% 23.24/23.62 , Y, T, Z ) }.
% 23.24/23.62 substitution0:
% 23.24/23.62 X := Y
% 23.24/23.62 Y := Z
% 23.24/23.62 Z := T
% 23.24/23.62 T := U
% 23.24/23.62 U := X
% 23.24/23.62 end
% 23.24/23.62 substitution1:
% 23.24/23.62 X := X
% 23.24/23.62 Y := Y
% 23.24/23.62 Z := U
% 23.24/23.62 T := Z
% 23.24/23.62 end
% 23.24/23.62
% 23.24/23.62 subsumption: (454) {G1,W15,D2,L3,V5,M3} R(16,13) { ! cyclic( X, Y, Z, T ),
% 23.24/23.62 cyclic( Y, Z, T, U ), ! cyclic( X, Y, U, Z ) }.
% 23.24/23.62 parent0: (79009) {G1,W15,D2,L3,V5,M3} { ! cyclic( X, Y, Z, T ), cyclic( Y
% 23.24/23.62 , Z, T, U ), ! cyclic( X, Y, U, Z ) }.
% 23.24/23.62 substitution0:
% 23.24/23.62 X := X
% 23.24/23.62 Y := Y
% 23.24/23.62 Z := Z
% 23.24/23.62 T := T
% 23.24/23.62 U := U
% 23.24/23.62 end
% 23.24/23.62 permutation0:
% 23.24/23.62 0 ==> 0
% 23.24/23.62 1 ==> 1
% 23.24/23.62 2 ==> 2
% 23.24/23.62 end
% 23.24/23.62
% 23.24/23.62 factor: (79011) {G1,W10,D2,L2,V4,M2} { ! cyclic( X, Y, Z, T ), cyclic( Z,
% 23.24/23.62 Y, T, T ) }.
% 23.24/23.62 parent0[0, 1]: (446) {G1,W15,D2,L3,V5,M3} R(16,15) { ! cyclic( X, Y, Z, T )
% 23.24/23.62 , ! cyclic( X, Y, Z, U ), cyclic( Z, Y, T, U ) }.
% 23.24/23.62 substitution0:
% 23.24/23.62 X := X
% 23.24/23.62 Y := Y
% 23.24/23.62 Z := Z
% 23.24/23.62 T := T
% 23.24/23.62 U := T
% 23.24/23.62 end
% 23.24/23.62
% 23.24/23.62 subsumption: (458) {G2,W10,D2,L2,V4,M2} F(446) { ! cyclic( X, Y, Z, T ),
% 23.24/23.62 cyclic( Z, Y, T, T ) }.
% 23.24/23.62 parent0: (79011) {G1,W10,D2,L2,V4,M2} { ! cyclic( X, Y, Z, T ), cyclic( Z
% 23.24/23.62 , Y, T, T ) }.
% 23.24/23.62 substitution0:
% 23.24/23.62 X := X
% 23.24/23.62 Y := Y
% 23.24/23.62 Z := Z
% 23.24/23.62 T := T
% 23.24/23.62 end
% 23.24/23.62 permutation0:
% 23.24/23.62 0 ==> 0
% 23.24/23.62 1 ==> 1
% 23.24/23.62 end
% 23.24/23.62
% 23.24/23.62 resolution: (79012) {G1,W10,D2,L2,V1,M2} { ! cyclic( X, skol23, skol20,
% 23.24/23.62 skol24 ), ! cyclic( X, skol23, skol20, skol22 ) }.
% 23.24/23.62 parent0[0]: (424) {G2,W5,D2,L1,V0,M1} R(15,399) { ! cyclic( skol23, skol20
% 23.24/23.62 , skol24, skol22 ) }.
% 23.24/23.62 parent1[2]: (16) {G0,W15,D2,L3,V5,M3} I { ! cyclic( U, X, Y, Z ), ! cyclic
% 23.24/23.62 ( U, X, Y, T ), cyclic( X, Y, Z, T ) }.
% 23.24/23.62 substitution0:
% 23.24/23.62 end
% 23.24/23.62 substitution1:
% 23.24/23.62 X := skol23
% 23.24/23.62 Y := skol20
% 23.24/23.62 Z := skol24
% 23.24/23.62 T := skol22
% 23.24/23.62 U := X
% 23.24/23.62 end
% 23.24/23.62
% 23.24/23.62 subsumption: (479) {G3,W10,D2,L2,V1,M2} R(424,16) { ! cyclic( X, skol23,
% 23.24/23.62 skol20, skol24 ), ! cyclic( X, skol23, skol20, skol22 ) }.
% 23.24/23.62 parent0: (79012) {G1,W10,D2,L2,V1,M2} { ! cyclic( X, skol23, skol20,
% 23.24/23.62 skol24 ), ! cyclic( X, skol23, skol20, skol22 ) }.
% 23.24/23.62 substitution0:
% 23.24/23.62 X := X
% 23.24/23.62 end
% 23.24/23.62 permutation0:
% 23.24/23.62 0 ==> 0
% 23.24/23.62 1 ==> 1
% 23.24/23.62 end
% 23.24/23.62
% 23.24/23.62 resolution: (79015) {G1,W12,D2,L3,V4,M3} { ! coll( X, X, Z ), coll( Y, Z,
% 23.24/23.62 X ), ! coll( Y, X, T ) }.
% 23.24/23.62 parent0[0]: (2) {G0,W12,D2,L3,V4,M3} I { ! coll( X, T, Y ), ! coll( X, T, Z
% 23.24/23.62 ), coll( Y, Z, X ) }.
% 23.24/23.62 parent1[1]: (238) {G8,W8,D2,L2,V3,M2} R(232,163) { ! coll( X, Y, Z ), coll
% 23.24/23.62 ( Y, Y, X ) }.
% 23.24/23.62 substitution0:
% 23.24/23.62 X := X
% 23.24/23.62 Y := Y
% 23.24/23.62 Z := Z
% 23.24/23.62 T := X
% 23.24/23.62 end
% 23.24/23.62 substitution1:
% 23.24/23.62 X := Y
% 23.24/23.62 Y := X
% 23.24/23.62 Z := T
% 23.24/23.62 end
% 23.24/23.62
% 23.24/23.62 subsumption: (558) {G9,W12,D2,L3,V4,M3} R(238,2) { ! coll( X, Y, Z ), !
% 23.24/23.62 coll( Y, Y, T ), coll( X, T, Y ) }.
% 23.24/23.62 parent0: (79015) {G1,W12,D2,L3,V4,M3} { ! coll( X, X, Z ), coll( Y, Z, X )
% 23.24/23.62 , ! coll( Y, X, T ) }.
% 23.24/23.62 substitution0:
% 23.24/23.62 X := Y
% 23.24/23.62 Y := X
% 23.24/23.62 Z := T
% 23.24/23.62 T := Z
% 23.24/23.62 end
% 23.24/23.62 permutation0:
% 23.24/23.62 0 ==> 1
% 23.24/23.62 1 ==> 2
% 23.24/23.62 2 ==> 0
% 23.24/23.62 end
% 23.24/23.62
% 23.24/23.62 resolution: (79021) {G1,W12,D2,L3,V4,M3} { ! coll( X, X, Z ), coll( Y, Z,
% 23.24/23.62 X ), ! coll( X, Y, T ) }.
% 23.24/23.62 parent0[0]: (2) {G0,W12,D2,L3,V4,M3} I { ! coll( X, T, Y ), ! coll( X, T, Z
% 23.24/23.62 ), coll( Y, Z, X ) }.
% 23.24/23.62 parent1[1]: (230) {G5,W8,D2,L2,V3,M2} R(194,162) { ! coll( X, Y, Z ), coll
% 23.24/23.62 ( X, X, Y ) }.
% 23.24/23.62 substitution0:
% 23.24/23.62 X := X
% 23.24/23.62 Y := Y
% 23.24/23.62 Z := Z
% 23.24/23.62 T := X
% 23.24/23.62 end
% 23.24/23.62 substitution1:
% 23.24/23.62 X := X
% 23.24/23.62 Y := Y
% 23.24/23.62 Z := T
% 23.24/23.62 end
% 23.24/23.62
% 23.24/23.62 subsumption: (598) {G6,W12,D2,L3,V4,M3} R(230,2) { ! coll( X, Y, Z ), !
% 23.24/23.62 coll( X, X, T ), coll( Y, T, X ) }.
% 23.24/23.62 parent0: (79021) {G1,W12,D2,L3,V4,M3} { ! coll( X, X, Z ), coll( Y, Z, X )
% 23.24/23.62 , ! coll( X, Y, T ) }.
% 23.24/23.62 substitution0:
% 23.24/23.62 X := X
% 23.24/23.62 Y := Y
% 23.24/23.62 Z := T
% 23.24/23.62 T := Z
% 23.24/23.62 end
% 23.24/23.62 permutation0:
% 23.24/23.62 0 ==> 1
% 23.24/23.62 1 ==> 2
% 23.24/23.62 2 ==> 0
% 23.24/23.62 end
% 23.24/23.62
% 23.24/23.62 resolution: (79025) {G1,W14,D2,L2,V6,M2} { eqangle( Z, T, X, Y, Z, T, U, W
% 23.24/23.62 ), ! para( X, Y, U, W ) }.
% 23.24/23.62 parent0[0]: (18) {G0,W18,D2,L2,V8,M2} I { ! eqangle( X, Y, Z, T, U, W, V0,
% 23.24/23.62 V1 ), eqangle( Z, T, X, Y, V0, V1, U, W ) }.
% 23.24/23.62 parent1[1]: (39) {G0,W14,D2,L2,V6,M2} I { ! para( X, Y, Z, T ), eqangle( X
% 23.24/23.62 , Y, U, W, Z, T, U, W ) }.
% 23.24/23.62 substitution0:
% 23.24/23.62 X := X
% 23.24/23.62 Y := Y
% 23.24/23.62 Z := Z
% 23.24/23.62 T := T
% 23.24/23.62 U := U
% 23.24/23.62 W := W
% 23.24/23.62 V0 := Z
% 23.24/23.62 V1 := T
% 23.24/23.62 end
% 23.24/23.62 substitution1:
% 23.24/23.62 X := X
% 23.24/23.62 Y := Y
% 23.24/23.62 Z := U
% 23.24/23.62 T := W
% 23.24/23.62 U := Z
% 23.24/23.62 W := T
% 23.24/23.62 end
% 23.24/23.62
% 23.24/23.62 subsumption: (756) {G1,W14,D2,L2,V6,M2} R(39,18) { ! para( X, Y, Z, T ),
% 23.24/23.62 eqangle( U, W, X, Y, U, W, Z, T ) }.
% 23.24/23.62 parent0: (79025) {G1,W14,D2,L2,V6,M2} { eqangle( Z, T, X, Y, Z, T, U, W )
% 23.24/23.62 , ! para( X, Y, U, W ) }.
% 23.24/23.62 substitution0:
% 23.24/23.62 X := X
% 23.24/23.62 Y := Y
% 23.24/23.62 Z := U
% 23.24/23.62 T := W
% 23.24/23.62 U := Z
% 23.24/23.62 W := T
% 23.24/23.62 end
% 23.24/23.62 permutation0:
% 23.24/23.62 0 ==> 1
% 23.24/23.62 1 ==> 0
% 23.24/23.62 end
% 23.24/23.62
% 23.24/23.62 resolution: (79026) {G1,W9,D2,L2,V3,M2} { coll( X, Y, Z ), ! para( X, Z, X
% 23.24/23.62 , Y ) }.
% 23.24/23.62 parent0[0]: (66) {G0,W9,D2,L2,V3,M2} I { ! para( X, Y, X, Z ), coll( X, Y,
% 23.24/23.62 Z ) }.
% 23.24/23.62 parent1[1]: (4) {G0,W10,D2,L2,V4,M2} I { ! para( X, Y, Z, T ), para( Z, T,
% 23.24/23.62 X, Y ) }.
% 23.24/23.62 substitution0:
% 23.24/23.62 X := X
% 23.24/23.62 Y := Y
% 23.24/23.62 Z := Z
% 23.24/23.62 end
% 23.24/23.62 substitution1:
% 23.24/23.62 X := X
% 23.24/23.62 Y := Z
% 23.24/23.62 Z := X
% 23.24/23.62 T := Y
% 23.24/23.62 end
% 23.24/23.62
% 23.24/23.62 subsumption: (816) {G1,W9,D2,L2,V3,M2} R(66,4) { coll( X, Y, Z ), ! para( X
% 23.24/23.62 , Z, X, Y ) }.
% 23.24/23.62 parent0: (79026) {G1,W9,D2,L2,V3,M2} { coll( X, Y, Z ), ! para( X, Z, X, Y
% 23.24/23.62 ) }.
% 23.24/23.62 substitution0:
% 23.24/23.62 X := X
% 23.24/23.62 Y := Y
% 23.24/23.62 Z := Z
% 23.24/23.62 end
% 23.24/23.62 permutation0:
% 23.24/23.62 0 ==> 0
% 23.24/23.62 1 ==> 1
% 23.24/23.62 end
% 23.24/23.62
% 23.24/23.62 resolution: (79027) {G1,W18,D2,L3,V4,M3} { ! coll( X, T, Z ), cyclic( Y, Z
% 23.24/23.62 , X, T ), ! eqangle( T, Y, T, Z, X, Y, X, Z ) }.
% 23.24/23.62 parent0[0]: (42) {G0,W18,D2,L3,V4,M3} I { ! eqangle( Z, X, Z, Y, T, X, T, Y
% 23.24/23.62 ), ! coll( Z, T, Y ), cyclic( X, Y, Z, T ) }.
% 23.24/23.62 parent1[1]: (19) {G0,W18,D2,L2,V8,M2} I { ! eqangle( X, Y, Z, T, U, W, V0,
% 23.24/23.62 V1 ), eqangle( U, W, V0, V1, X, Y, Z, T ) }.
% 23.24/23.62 substitution0:
% 23.24/23.62 X := Y
% 23.24/23.62 Y := Z
% 23.24/23.62 Z := X
% 23.24/23.62 T := T
% 23.24/23.62 end
% 23.24/23.62 substitution1:
% 23.24/23.62 X := T
% 23.24/23.62 Y := Y
% 23.24/23.62 Z := T
% 23.24/23.62 T := Z
% 23.24/23.62 U := X
% 23.24/23.62 W := Y
% 23.24/23.62 V0 := X
% 23.24/23.62 V1 := Z
% 23.24/23.62 end
% 23.24/23.62
% 23.24/23.62 subsumption: (913) {G1,W18,D2,L3,V4,M3} R(42,19) { ! coll( X, Y, Z ),
% 23.24/23.62 cyclic( T, Z, X, Y ), ! eqangle( Y, T, Y, Z, X, T, X, Z ) }.
% 23.24/23.62 parent0: (79027) {G1,W18,D2,L3,V4,M3} { ! coll( X, T, Z ), cyclic( Y, Z, X
% 23.24/23.62 , T ), ! eqangle( T, Y, T, Z, X, Y, X, Z ) }.
% 23.24/23.62 substitution0:
% 23.24/23.62 X := X
% 23.24/23.62 Y := T
% 23.24/23.62 Z := Z
% 23.24/23.62 T := Y
% 23.24/23.62 end
% 23.24/23.62 permutation0:
% 23.24/23.62 0 ==> 0
% 23.24/23.62 1 ==> 1
% 23.24/23.62 2 ==> 2
% 23.24/23.62 end
% 23.24/23.62
% 23.24/23.62 resolution: (79028) {G1,W9,D2,L2,V0,M2} { ! coll( skol27, skol20, skol26 )
% 23.24/23.62 , perp( skol20, skol25, skol25, skol26 ) }.
% 23.24/23.62 parent0[0]: (53) {G0,W14,D2,L3,V4,M3} I { ! circle( T, X, Y, Z ), ! coll( T
% 23.24/23.62 , X, Z ), perp( X, Y, Y, Z ) }.
% 23.24/23.62 parent1[0]: (116) {G0,W5,D2,L1,V0,M1} I { circle( skol27, skol20, skol25,
% 23.24/23.62 skol26 ) }.
% 23.24/23.62 substitution0:
% 23.24/23.62 X := skol20
% 23.24/23.62 Y := skol25
% 23.24/23.62 Z := skol26
% 23.24/23.62 T := skol27
% 23.24/23.62 end
% 23.24/23.62 substitution1:
% 23.24/23.62 end
% 23.24/23.62
% 23.24/23.62 subsumption: (1493) {G1,W9,D2,L2,V0,M2} R(53,116) { ! coll( skol27, skol20
% 23.24/23.62 , skol26 ), perp( skol20, skol25, skol25, skol26 ) }.
% 23.24/23.62 parent0: (79028) {G1,W9,D2,L2,V0,M2} { ! coll( skol27, skol20, skol26 ),
% 23.24/23.62 perp( skol20, skol25, skol25, skol26 ) }.
% 23.24/23.62 substitution0:
% 23.24/23.62 end
% 23.24/23.62 permutation0:
% 23.24/23.62 0 ==> 0
% 23.24/23.62 1 ==> 1
% 23.24/23.62 end
% 23.24/23.62
% 23.24/23.62 resolution: (79029) {G1,W9,D2,L2,V3,M2} { coll( X, Y, Z ), ! para( X, Z, Y
% 23.24/23.62 , X ) }.
% 23.24/23.62 parent0[1]: (816) {G1,W9,D2,L2,V3,M2} R(66,4) { coll( X, Y, Z ), ! para( X
% 23.24/23.62 , Z, X, Y ) }.
% 23.24/23.62 parent1[1]: (3) {G0,W10,D2,L2,V4,M2} I { ! para( X, Y, Z, T ), para( X, Y,
% 23.24/23.62 T, Z ) }.
% 23.24/23.62 substitution0:
% 23.24/23.62 X := X
% 23.24/23.62 Y := Y
% 23.24/23.62 Z := Z
% 23.24/23.62 end
% 23.24/23.62 substitution1:
% 23.24/23.62 X := X
% 23.24/23.62 Y := Z
% 23.24/23.62 Z := Y
% 23.24/23.62 T := X
% 23.24/23.62 end
% 23.24/23.62
% 23.24/23.62 subsumption: (1929) {G2,W9,D2,L2,V3,M2} R(816,3) { coll( X, Y, Z ), ! para
% 23.24/23.62 ( X, Z, Y, X ) }.
% 23.24/23.62 parent0: (79029) {G1,W9,D2,L2,V3,M2} { coll( X, Y, Z ), ! para( X, Z, Y, X
% 23.24/23.62 ) }.
% 23.24/23.62 substitution0:
% 23.24/23.62 X := X
% 23.24/23.62 Y := Y
% 23.24/23.62 Z := Z
% 23.24/23.62 end
% 23.24/23.62 permutation0:
% 23.24/23.62 0 ==> 0
% 23.24/23.62 1 ==> 1
% 23.24/23.62 end
% 23.24/23.62
% 23.24/23.62 resolution: (79030) {G1,W9,D2,L2,V3,M2} { coll( X, Y, Z ), ! para( Y, X, X
% 23.24/23.62 , Z ) }.
% 23.24/23.62 parent0[1]: (1929) {G2,W9,D2,L2,V3,M2} R(816,3) { coll( X, Y, Z ), ! para(
% 23.24/23.62 X, Z, Y, X ) }.
% 23.24/23.62 parent1[1]: (4) {G0,W10,D2,L2,V4,M2} I { ! para( X, Y, Z, T ), para( Z, T,
% 23.24/23.62 X, Y ) }.
% 23.24/23.62 substitution0:
% 23.24/23.62 X := X
% 23.24/23.62 Y := Y
% 23.24/23.62 Z := Z
% 23.24/23.62 end
% 23.24/23.62 substitution1:
% 23.24/23.62 X := Y
% 23.24/23.62 Y := X
% 23.24/23.62 Z := X
% 23.24/23.62 T := Z
% 23.24/23.62 end
% 23.24/23.62
% 23.24/23.62 subsumption: (1955) {G3,W9,D2,L2,V3,M2} R(1929,4) { coll( X, Y, Z ), ! para
% 23.24/23.62 ( Y, X, X, Z ) }.
% 23.24/23.62 parent0: (79030) {G1,W9,D2,L2,V3,M2} { coll( X, Y, Z ), ! para( Y, X, X, Z
% 23.24/23.62 ) }.
% 23.24/23.62 substitution0:
% 23.24/23.62 X := X
% 23.24/23.62 Y := Y
% 23.24/23.62 Z := Z
% 23.24/23.62 end
% 23.24/23.62 permutation0:
% 23.24/23.62 0 ==> 0
% 23.24/23.62 1 ==> 1
% 23.24/23.62 end
% 23.24/23.62
% 23.24/23.62 resolution: (79031) {G1,W9,D2,L2,V3,M2} { coll( X, Y, Z ), ! para( Y, X, Z
% 23.24/23.62 , X ) }.
% 23.24/23.62 parent0[1]: (1955) {G3,W9,D2,L2,V3,M2} R(1929,4) { coll( X, Y, Z ), ! para
% 23.24/23.62 ( Y, X, X, Z ) }.
% 23.24/23.62 parent1[1]: (3) {G0,W10,D2,L2,V4,M2} I { ! para( X, Y, Z, T ), para( X, Y,
% 23.24/23.62 T, Z ) }.
% 23.24/23.62 substitution0:
% 23.24/23.62 X := X
% 23.24/23.62 Y := Y
% 23.24/23.62 Z := Z
% 23.24/23.62 end
% 23.24/23.62 substitution1:
% 23.24/23.62 X := Y
% 23.24/23.62 Y := X
% 23.24/23.62 Z := Z
% 23.24/23.62 T := X
% 23.24/23.62 end
% 23.24/23.62
% 23.24/23.62 subsumption: (1967) {G4,W9,D2,L2,V3,M2} R(1955,3) { coll( X, Y, Z ), ! para
% 23.24/23.62 ( Y, X, Z, X ) }.
% 23.24/23.62 parent0: (79031) {G1,W9,D2,L2,V3,M2} { coll( X, Y, Z ), ! para( Y, X, Z, X
% 23.24/23.62 ) }.
% 23.24/23.62 substitution0:
% 23.24/23.62 X := X
% 23.24/23.62 Y := Y
% 23.24/23.62 Z := Z
% 23.24/23.62 end
% 23.24/23.62 permutation0:
% 23.24/23.62 0 ==> 0
% 23.24/23.62 1 ==> 1
% 23.24/23.62 end
% 23.24/23.62
% 23.24/23.62 resolution: (79032) {G3,W9,D2,L2,V3,M2} { coll( X, Y, Z ), ! para( Y, Z, X
% 23.24/23.62 , Z ) }.
% 23.24/23.62 parent0[1]: (164) {G2,W8,D2,L2,V3,M2} R(162,1) { coll( X, Y, Z ), ! coll( Z
% 23.24/23.62 , Y, X ) }.
% 23.24/23.62 parent1[0]: (1967) {G4,W9,D2,L2,V3,M2} R(1955,3) { coll( X, Y, Z ), ! para
% 23.24/23.62 ( Y, X, Z, X ) }.
% 23.24/23.62 substitution0:
% 23.24/23.62 X := X
% 23.24/23.62 Y := Y
% 23.24/23.62 Z := Z
% 23.24/23.62 end
% 23.24/23.62 substitution1:
% 23.24/23.62 X := Z
% 23.24/23.62 Y := Y
% 23.24/23.62 Z := X
% 23.24/23.62 end
% 23.24/23.62
% 23.24/23.62 subsumption: (1983) {G5,W9,D2,L2,V3,M2} R(1967,164) { ! para( X, Y, Z, Y )
% 23.24/23.62 , coll( Z, X, Y ) }.
% 23.24/23.62 parent0: (79032) {G3,W9,D2,L2,V3,M2} { coll( X, Y, Z ), ! para( Y, Z, X, Z
% 23.24/23.62 ) }.
% 23.24/23.62 substitution0:
% 23.24/23.62 X := Z
% 23.24/23.62 Y := X
% 23.24/23.62 Z := Y
% 23.24/23.62 end
% 23.24/23.62 permutation0:
% 23.24/23.62 0 ==> 1
% 23.24/23.62 1 ==> 0
% 23.24/23.62 end
% 23.24/23.62
% 23.24/23.62 resolution: (79034) {G1,W12,D3,L2,V1,M2} { ! perp( skol24, skol22, skol20
% 23.24/23.62 , skol26 ), coll( skol10( X, skol20, skol26 ), skol26, skol20 ) }.
% 23.24/23.62 parent0[1]: (94) {G0,W17,D3,L3,V5,M3} I { ! perp( X, T, Y, Z ), ! perp( Y,
% 23.24/23.62 T, X, Z ), coll( skol10( U, Y, Z ), Z, Y ) }.
% 23.24/23.62 parent1[0]: (243) {G1,W5,D2,L1,V0,M1} R(6,122) { perp( skol20, skol22,
% 23.24/23.62 skol24, skol26 ) }.
% 23.24/23.62 substitution0:
% 23.24/23.62 X := skol24
% 23.24/23.62 Y := skol20
% 23.24/23.62 Z := skol26
% 23.24/23.62 T := skol22
% 23.24/23.62 U := X
% 23.24/23.62 end
% 23.24/23.62 substitution1:
% 23.24/23.62 end
% 23.24/23.62
% 23.24/23.62 resolution: (79036) {G2,W7,D3,L1,V1,M1} { coll( skol10( X, skol20, skol26
% 23.24/23.62 ), skol26, skol20 ) }.
% 23.24/23.62 parent0[0]: (79034) {G1,W12,D3,L2,V1,M2} { ! perp( skol24, skol22, skol20
% 23.24/23.62 , skol26 ), coll( skol10( X, skol20, skol26 ), skol26, skol20 ) }.
% 23.24/23.62 parent1[0]: (245) {G2,W5,D2,L1,V0,M1} R(7,242) { perp( skol24, skol22,
% 23.24/23.62 skol20, skol26 ) }.
% 23.24/23.62 substitution0:
% 23.24/23.62 X := X
% 23.24/23.62 end
% 23.24/23.62 substitution1:
% 23.24/23.62 end
% 23.24/23.62
% 23.24/23.62 subsumption: (4010) {G3,W7,D3,L1,V1,M1} R(94,243);r(245) { coll( skol10( X
% 23.24/23.62 , skol20, skol26 ), skol26, skol20 ) }.
% 23.24/23.62 parent0: (79036) {G2,W7,D3,L1,V1,M1} { coll( skol10( X, skol20, skol26 ),
% 23.24/23.62 skol26, skol20 ) }.
% 23.24/23.62 substitution0:
% 23.24/23.62 X := X
% 23.24/23.62 end
% 23.24/23.62 permutation0:
% 23.24/23.62 0 ==> 0
% 23.24/23.62 end
% 23.24/23.62
% 23.24/23.62 resolution: (79037) {G1,W12,D3,L2,V1,M2} { ! perp( skol25, skol23, skol22
% 23.24/23.62 , skol20 ), coll( skol10( X, skol25, skol20 ), skol20, skol25 ) }.
% 23.24/23.62 parent0[0]: (94) {G0,W17,D3,L3,V5,M3} I { ! perp( X, T, Y, Z ), ! perp( Y,
% 23.24/23.62 T, X, Z ), coll( skol10( U, Y, Z ), Z, Y ) }.
% 23.24/23.62 parent1[0]: (382) {G6,W5,D2,L1,V0,M1} R(378,7) { perp( skol22, skol23,
% 23.24/23.62 skol25, skol20 ) }.
% 23.24/23.62 substitution0:
% 23.24/23.62 X := skol22
% 23.24/23.62 Y := skol25
% 23.24/23.62 Z := skol20
% 23.24/23.62 T := skol23
% 23.24/23.62 U := X
% 23.24/23.62 end
% 23.24/23.62 substitution1:
% 23.24/23.62 end
% 23.24/23.62
% 23.24/23.62 resolution: (79039) {G2,W7,D3,L1,V1,M1} { coll( skol10( X, skol25, skol20
% 23.24/23.62 ), skol20, skol25 ) }.
% 23.24/23.62 parent0[0]: (79037) {G1,W12,D3,L2,V1,M2} { ! perp( skol25, skol23, skol22
% 23.24/23.62 , skol20 ), coll( skol10( X, skol25, skol20 ), skol20, skol25 ) }.
% 23.24/23.62 parent1[0]: (363) {G6,W5,D2,L1,V0,M1} R(359,7) { perp( skol25, skol23,
% 23.24/23.62 skol22, skol20 ) }.
% 23.24/23.62 substitution0:
% 23.24/23.62 X := X
% 23.24/23.62 end
% 23.24/23.62 substitution1:
% 23.24/23.62 end
% 23.24/23.62
% 23.24/23.62 subsumption: (4022) {G7,W7,D3,L1,V1,M1} R(94,382);r(363) { coll( skol10( X
% 23.24/23.62 , skol25, skol20 ), skol20, skol25 ) }.
% 23.24/23.62 parent0: (79039) {G2,W7,D3,L1,V1,M1} { coll( skol10( X, skol25, skol20 ),
% 23.24/23.62 skol20, skol25 ) }.
% 23.24/23.62 substitution0:
% 23.24/23.62 X := X
% 23.24/23.62 end
% 23.24/23.62 permutation0:
% 23.24/23.62 0 ==> 0
% 23.24/23.62 end
% 23.24/23.62
% 23.24/23.62 resolution: (79040) {G1,W7,D3,L1,V0,M1} { perp( skol12( skol20, skol27 ),
% 23.24/23.62 skol20, skol20, skol27 ) }.
% 23.24/23.62 parent0[0]: (100) {G0,W12,D3,L2,V4,M2} I { ! circle( Y, X, Z, T ), perp(
% 23.24/23.62 skol12( X, Y ), X, X, Y ) }.
% 23.24/23.62 parent1[0]: (116) {G0,W5,D2,L1,V0,M1} I { circle( skol27, skol20, skol25,
% 23.24/23.62 skol26 ) }.
% 23.24/23.62 substitution0:
% 23.24/23.62 X := skol20
% 23.24/23.62 Y := skol27
% 23.24/23.62 Z := skol25
% 23.24/23.62 T := skol26
% 23.24/23.62 end
% 23.24/23.62 substitution1:
% 23.24/23.62 end
% 23.24/23.62
% 23.24/23.62 subsumption: (4637) {G1,W7,D3,L1,V0,M1} R(100,116) { perp( skol12( skol20,
% 23.24/23.62 skol27 ), skol20, skol20, skol27 ) }.
% 23.24/23.62 parent0: (79040) {G1,W7,D3,L1,V0,M1} { perp( skol12( skol20, skol27 ),
% 23.24/23.62 skol20, skol20, skol27 ) }.
% 23.24/23.62 substitution0:
% 23.24/23.62 end
% 23.24/23.62 permutation0:
% 23.24/23.62 0 ==> 0
% 23.24/23.62 end
% 23.24/23.62
% 23.24/23.62 resolution: (79041) {G2,W7,D3,L1,V1,M1} { coll( skol26, skol20, skol10( X
% 23.24/23.62 , skol20, skol26 ) ) }.
% 23.24/23.62 parent0[0]: (163) {G1,W8,D2,L2,V3,M2} R(1,0) { ! coll( X, Y, Z ), coll( Y,
% 23.24/23.62 Z, X ) }.
% 23.24/23.62 parent1[0]: (4010) {G3,W7,D3,L1,V1,M1} R(94,243);r(245) { coll( skol10( X,
% 23.24/23.62 skol20, skol26 ), skol26, skol20 ) }.
% 23.24/23.62 substitution0:
% 23.24/23.62 X := skol10( X, skol20, skol26 )
% 23.24/23.62 Y := skol26
% 23.24/23.62 Z := skol20
% 23.24/23.62 end
% 23.24/23.62 substitution1:
% 23.24/23.62 X := X
% 23.24/23.62 end
% 23.24/23.62
% 23.24/23.62 subsumption: (15799) {G4,W7,D3,L1,V1,M1} R(4010,163) { coll( skol26, skol20
% 23.24/23.62 , skol10( X, skol20, skol26 ) ) }.
% 23.24/23.62 parent0: (79041) {G2,W7,D3,L1,V1,M1} { coll( skol26, skol20, skol10( X,
% 23.24/23.62 skol20, skol26 ) ) }.
% 23.24/23.62 substitution0:
% 23.24/23.62 X := X
% 23.24/23.62 end
% 23.24/23.62 permutation0:
% 23.24/23.62 0 ==> 0
% 23.24/23.62 end
% 23.24/23.62
% 23.24/23.62 resolution: (79042) {G3,W7,D3,L1,V1,M1} { coll( skol25, skol20, skol10( X
% 23.24/23.62 , skol25, skol20 ) ) }.
% 23.24/23.62 parent0[1]: (164) {G2,W8,D2,L2,V3,M2} R(162,1) { coll( X, Y, Z ), ! coll( Z
% 23.24/23.62 , Y, X ) }.
% 23.24/23.62 parent1[0]: (4022) {G7,W7,D3,L1,V1,M1} R(94,382);r(363) { coll( skol10( X,
% 23.24/23.62 skol25, skol20 ), skol20, skol25 ) }.
% 23.24/23.62 substitution0:
% 23.24/23.62 X := skol25
% 23.24/23.62 Y := skol20
% 23.24/23.62 Z := skol10( X, skol25, skol20 )
% 23.24/23.62 end
% 23.24/23.62 substitution1:
% 23.24/23.62 X := X
% 23.24/23.62 end
% 23.24/23.62
% 23.24/23.62 subsumption: (20988) {G8,W7,D3,L1,V1,M1} R(4022,164) { coll( skol25, skol20
% 23.24/23.62 , skol10( X, skol25, skol20 ) ) }.
% 23.24/23.62 parent0: (79042) {G3,W7,D3,L1,V1,M1} { coll( skol25, skol20, skol10( X,
% 23.24/23.62 skol25, skol20 ) ) }.
% 23.24/23.62 substitution0:
% 23.24/23.62 X := X
% 23.24/23.62 end
% 23.24/23.62 permutation0:
% 23.24/23.62 0 ==> 0
% 23.24/23.62 end
% 23.24/23.62
% 23.24/23.62 resolution: (79043) {G2,W5,D2,L1,V0,M1} { para( skol20, skol27, skol20,
% 23.24/23.62 skol27 ) }.
% 23.24/23.62 parent0[0]: (299) {G2,W10,D2,L2,V4,M2} F(269) { ! perp( X, Y, Z, T ), para
% 23.24/23.62 ( Z, T, Z, T ) }.
% 23.24/23.62 parent1[0]: (4637) {G1,W7,D3,L1,V0,M1} R(100,116) { perp( skol12( skol20,
% 23.24/23.62 skol27 ), skol20, skol20, skol27 ) }.
% 23.24/23.62 substitution0:
% 23.24/23.62 X := skol12( skol20, skol27 )
% 23.24/23.62 Y := skol20
% 23.24/23.62 Z := skol20
% 23.24/23.62 T := skol27
% 23.24/23.62 end
% 23.24/23.62 substitution1:
% 23.24/23.62 end
% 23.24/23.62
% 23.24/23.62 subsumption: (23632) {G3,W5,D2,L1,V0,M1} R(4637,299) { para( skol20, skol27
% 23.24/23.62 , skol20, skol27 ) }.
% 23.24/23.62 parent0: (79043) {G2,W5,D2,L1,V0,M1} { para( skol20, skol27, skol20,
% 23.24/23.62 skol27 ) }.
% 23.24/23.62 substitution0:
% 23.24/23.62 end
% 23.24/23.62 permutation0:
% 23.24/23.62 0 ==> 0
% 23.24/23.62 end
% 23.24/23.62
% 23.24/23.62 resolution: (79044) {G4,W4,D2,L1,V0,M1} { coll( skol20, skol20, skol27 )
% 23.24/23.62 }.
% 23.24/23.62 parent0[0]: (1983) {G5,W9,D2,L2,V3,M2} R(1967,164) { ! para( X, Y, Z, Y ),
% 23.24/23.62 coll( Z, X, Y ) }.
% 23.24/23.62 parent1[0]: (23632) {G3,W5,D2,L1,V0,M1} R(4637,299) { para( skol20, skol27
% 23.24/23.62 , skol20, skol27 ) }.
% 23.24/23.62 substitution0:
% 23.24/23.62 X := skol20
% 23.24/23.62 Y := skol27
% 23.24/23.62 Z := skol20
% 23.24/23.62 end
% 23.24/23.62 substitution1:
% 23.24/23.62 end
% 23.24/23.62
% 23.24/23.62 subsumption: (23670) {G6,W4,D2,L1,V0,M1} R(23632,1983) { coll( skol20,
% 23.24/23.62 skol20, skol27 ) }.
% 23.24/23.62 parent0: (79044) {G4,W4,D2,L1,V0,M1} { coll( skol20, skol20, skol27 ) }.
% 23.24/23.62 substitution0:
% 23.24/23.62 end
% 23.24/23.62 permutation0:
% 23.24/23.62 0 ==> 0
% 23.24/23.62 end
% 23.24/23.62
% 23.24/23.62 resolution: (79046) {G7,W8,D2,L2,V2,M2} { ! coll( X, skol20, Y ), coll( X
% 23.24/23.62 , skol27, skol20 ) }.
% 23.24/23.62 parent0[1]: (558) {G9,W12,D2,L3,V4,M3} R(238,2) { ! coll( X, Y, Z ), ! coll
% 23.24/23.62 ( Y, Y, T ), coll( X, T, Y ) }.
% 23.24/23.62 parent1[0]: (23670) {G6,W4,D2,L1,V0,M1} R(23632,1983) { coll( skol20,
% 23.24/23.62 skol20, skol27 ) }.
% 23.24/23.62 substitution0:
% 23.24/23.62 X := X
% 23.24/23.62 Y := skol20
% 23.24/23.62 Z := Y
% 23.24/23.62 T := skol27
% 23.24/23.62 end
% 23.24/23.62 substitution1:
% 23.24/23.62 end
% 23.24/23.62
% 23.24/23.62 subsumption: (45772) {G10,W8,D2,L2,V2,M2} R(558,23670) { ! coll( X, skol20
% 23.24/23.62 , Y ), coll( X, skol27, skol20 ) }.
% 23.24/23.62 parent0: (79046) {G7,W8,D2,L2,V2,M2} { ! coll( X, skol20, Y ), coll( X,
% 23.24/23.62 skol27, skol20 ) }.
% 23.24/23.62 substitution0:
% 23.24/23.62 X := X
% 23.24/23.62 Y := Y
% 23.24/23.62 end
% 23.24/23.62 permutation0:
% 23.24/23.62 0 ==> 0
% 23.24/23.62 1 ==> 1
% 23.24/23.62 end
% 23.24/23.62
% 23.24/23.62 resolution: (79047) {G9,W4,D2,L1,V0,M1} { coll( skol25, skol27, skol20 )
% 23.24/23.62 }.
% 23.24/23.62 parent0[0]: (45772) {G10,W8,D2,L2,V2,M2} R(558,23670) { ! coll( X, skol20,
% 23.24/23.62 Y ), coll( X, skol27, skol20 ) }.
% 23.24/23.62 parent1[0]: (20988) {G8,W7,D3,L1,V1,M1} R(4022,164) { coll( skol25, skol20
% 23.24/23.62 , skol10( X, skol25, skol20 ) ) }.
% 23.24/23.62 substitution0:
% 23.24/23.62 X := skol25
% 23.24/23.62 Y := skol10( X, skol25, skol20 )
% 23.24/23.62 end
% 23.24/23.62 substitution1:
% 23.24/23.62 X := X
% 23.24/23.62 end
% 23.24/23.62
% 23.24/23.62 subsumption: (45973) {G11,W4,D2,L1,V0,M1} R(45772,20988) { coll( skol25,
% 23.24/23.62 skol27, skol20 ) }.
% 23.24/23.62 parent0: (79047) {G9,W4,D2,L1,V0,M1} { coll( skol25, skol27, skol20 ) }.
% 23.24/23.62 substitution0:
% 23.24/23.62 end
% 23.24/23.62 permutation0:
% 23.24/23.62 0 ==> 0
% 23.24/23.62 end
% 23.24/23.62
% 23.24/23.62 resolution: (79048) {G5,W4,D2,L1,V0,M1} { coll( skol26, skol27, skol20 )
% 23.24/23.62 }.
% 23.24/23.62 parent0[0]: (45772) {G10,W8,D2,L2,V2,M2} R(558,23670) { ! coll( X, skol20,
% 23.24/23.62 Y ), coll( X, skol27, skol20 ) }.
% 23.24/23.62 parent1[0]: (15799) {G4,W7,D3,L1,V1,M1} R(4010,163) { coll( skol26, skol20
% 23.24/23.62 , skol10( X, skol20, skol26 ) ) }.
% 23.24/23.62 substitution0:
% 23.24/23.62 X := skol26
% 23.24/23.62 Y := skol10( X, skol20, skol26 )
% 23.24/23.62 end
% 23.24/23.62 substitution1:
% 23.24/23.62 X := X
% 23.24/23.62 end
% 23.24/23.62
% 23.24/23.62 subsumption: (45982) {G11,W4,D2,L1,V0,M1} R(45772,15799) { coll( skol26,
% 23.24/23.62 skol27, skol20 ) }.
% 23.24/23.62 parent0: (79048) {G5,W4,D2,L1,V0,M1} { coll( skol26, skol27, skol20 ) }.
% 23.24/23.62 substitution0:
% 23.24/23.62 end
% 23.24/23.62 permutation0:
% 23.24/23.62 0 ==> 0
% 23.24/23.62 end
% 23.24/23.62
% 23.24/23.62 resolution: (79049) {G1,W4,D2,L1,V0,M1} { coll( skol27, skol25, skol20 )
% 23.24/23.62 }.
% 23.24/23.62 parent0[0]: (1) {G0,W8,D2,L2,V3,M2} I { ! coll( X, Y, Z ), coll( Y, X, Z )
% 23.24/23.62 }.
% 23.24/23.62 parent1[0]: (45973) {G11,W4,D2,L1,V0,M1} R(45772,20988) { coll( skol25,
% 23.24/23.62 skol27, skol20 ) }.
% 23.24/23.62 substitution0:
% 23.24/23.62 X := skol25
% 23.24/23.62 Y := skol27
% 23.24/23.62 Z := skol20
% 23.24/23.62 end
% 23.24/23.62 substitution1:
% 23.24/23.62 end
% 23.24/23.62
% 23.24/23.62 subsumption: (47309) {G12,W4,D2,L1,V0,M1} R(45973,1) { coll( skol27, skol25
% 23.24/23.62 , skol20 ) }.
% 23.24/23.62 parent0: (79049) {G1,W4,D2,L1,V0,M1} { coll( skol27, skol25, skol20 ) }.
% 23.24/23.62 substitution0:
% 23.24/23.62 end
% 23.24/23.62 permutation0:
% 23.24/23.62 0 ==> 0
% 23.24/23.62 end
% 23.24/23.62
% 23.24/23.62 resolution: (79050) {G9,W4,D2,L1,V0,M1} { coll( skol27, skol27, skol26 )
% 23.24/23.62 }.
% 23.24/23.62 parent0[0]: (238) {G8,W8,D2,L2,V3,M2} R(232,163) { ! coll( X, Y, Z ), coll
% 23.24/23.62 ( Y, Y, X ) }.
% 23.24/23.62 parent1[0]: (45982) {G11,W4,D2,L1,V0,M1} R(45772,15799) { coll( skol26,
% 23.24/23.62 skol27, skol20 ) }.
% 23.24/23.62 substitution0:
% 23.24/23.62 X := skol26
% 23.24/23.62 Y := skol27
% 23.24/23.62 Z := skol20
% 23.24/23.62 end
% 23.24/23.62 substitution1:
% 23.24/23.62 end
% 23.24/23.62
% 23.24/23.62 subsumption: (48270) {G12,W4,D2,L1,V0,M1} R(45982,238) { coll( skol27,
% 23.24/23.62 skol27, skol26 ) }.
% 23.24/23.62 parent0: (79050) {G9,W4,D2,L1,V0,M1} { coll( skol27, skol27, skol26 ) }.
% 23.24/23.62 substitution0:
% 23.24/23.62 end
% 23.24/23.62 permutation0:
% 23.24/23.62 0 ==> 0
% 23.24/23.62 end
% 23.24/23.62
% 23.24/23.62 resolution: (79051) {G2,W4,D2,L1,V0,M1} { coll( skol27, skol20, skol26 )
% 23.24/23.62 }.
% 23.24/23.62 parent0[0]: (163) {G1,W8,D2,L2,V3,M2} R(1,0) { ! coll( X, Y, Z ), coll( Y,
% 23.24/23.62 Z, X ) }.
% 23.24/23.62 parent1[0]: (45982) {G11,W4,D2,L1,V0,M1} R(45772,15799) { coll( skol26,
% 23.24/23.62 skol27, skol20 ) }.
% 23.24/23.62 substitution0:
% 23.24/23.62 X := skol26
% 23.24/23.62 Y := skol27
% 23.24/23.62 Z := skol20
% 23.24/23.62 end
% 23.24/23.62 substitution1:
% 23.24/23.62 end
% 23.24/23.62
% 23.24/23.62 subsumption: (48275) {G12,W4,D2,L1,V0,M1} R(45982,163) { coll( skol27,
% 23.24/23.62 skol20, skol26 ) }.
% 23.24/23.62 parent0: (79051) {G2,W4,D2,L1,V0,M1} { coll( skol27, skol20, skol26 ) }.
% 23.24/23.62 substitution0:
% 23.24/23.62 end
% 23.24/23.62 permutation0:
% 23.24/23.62 0 ==> 0
% 23.24/23.62 end
% 23.24/23.62
% 23.24/23.62 resolution: (79053) {G7,W8,D2,L2,V2,M2} { ! coll( skol27, X, Y ), coll( X
% 23.24/23.62 , skol26, skol27 ) }.
% 23.24/23.62 parent0[1]: (598) {G6,W12,D2,L3,V4,M3} R(230,2) { ! coll( X, Y, Z ), ! coll
% 23.24/23.62 ( X, X, T ), coll( Y, T, X ) }.
% 23.24/23.62 parent1[0]: (48270) {G12,W4,D2,L1,V0,M1} R(45982,238) { coll( skol27,
% 23.24/23.62 skol27, skol26 ) }.
% 23.24/23.62 substitution0:
% 23.24/23.62 X := skol27
% 23.24/23.62 Y := X
% 23.24/23.62 Z := Y
% 23.24/23.62 T := skol26
% 23.24/23.62 end
% 23.24/23.62 substitution1:
% 23.24/23.62 end
% 23.24/23.62
% 23.24/23.62 subsumption: (51626) {G13,W8,D2,L2,V2,M2} R(598,48270) { ! coll( skol27, X
% 23.24/23.62 , Y ), coll( X, skol26, skol27 ) }.
% 23.24/23.62 parent0: (79053) {G7,W8,D2,L2,V2,M2} { ! coll( skol27, X, Y ), coll( X,
% 23.24/23.62 skol26, skol27 ) }.
% 23.24/23.62 substitution0:
% 23.24/23.62 X := X
% 23.24/23.62 Y := Y
% 23.24/23.62 end
% 23.24/23.62 permutation0:
% 23.24/23.62 0 ==> 0
% 23.24/23.62 1 ==> 1
% 23.24/23.62 end
% 23.24/23.62
% 23.24/23.62 resolution: (79054) {G13,W4,D2,L1,V0,M1} { coll( skol25, skol26, skol27 )
% 23.24/23.62 }.
% 23.24/23.62 parent0[0]: (51626) {G13,W8,D2,L2,V2,M2} R(598,48270) { ! coll( skol27, X,
% 23.24/23.62 Y ), coll( X, skol26, skol27 ) }.
% 23.24/23.62 parent1[0]: (47309) {G12,W4,D2,L1,V0,M1} R(45973,1) { coll( skol27, skol25
% 23.24/23.62 , skol20 ) }.
% 23.24/23.62 substitution0:
% 23.24/23.62 X := skol25
% 23.24/23.62 Y := skol20
% 23.24/23.62 end
% 23.24/23.62 substitution1:
% 23.24/23.62 end
% 23.24/23.62
% 23.24/23.62 subsumption: (54631) {G14,W4,D2,L1,V0,M1} R(51626,47309) { coll( skol25,
% 23.24/23.62 skol26, skol27 ) }.
% 23.24/23.62 parent0: (79054) {G13,W4,D2,L1,V0,M1} { coll( skol25, skol26, skol27 ) }.
% 23.24/23.62 substitution0:
% 23.24/23.62 end
% 23.24/23.62 permutation0:
% 23.24/23.62 0 ==> 0
% 23.24/23.62 end
% 23.24/23.62
% 23.24/23.62 resolution: (79055) {G9,W4,D2,L1,V0,M1} { coll( skol26, skol26, skol25 )
% 23.24/23.62 }.
% 23.24/23.62 parent0[0]: (238) {G8,W8,D2,L2,V3,M2} R(232,163) { ! coll( X, Y, Z ), coll
% 23.24/23.62 ( Y, Y, X ) }.
% 23.24/23.62 parent1[0]: (54631) {G14,W4,D2,L1,V0,M1} R(51626,47309) { coll( skol25,
% 23.24/23.62 skol26, skol27 ) }.
% 23.24/23.62 substitution0:
% 23.24/23.62 X := skol25
% 23.24/23.62 Y := skol26
% 23.24/23.62 Z := skol27
% 23.24/23.62 end
% 23.24/23.62 substitution1:
% 23.24/23.62 end
% 23.24/23.62
% 23.24/23.62 subsumption: (55329) {G15,W4,D2,L1,V0,M1} R(54631,238) { coll( skol26,
% 23.24/23.62 skol26, skol25 ) }.
% 23.24/23.62 parent0: (79055) {G9,W4,D2,L1,V0,M1} { coll( skol26, skol26, skol25 ) }.
% 23.24/23.62 substitution0:
% 23.24/23.62 end
% 23.24/23.62 permutation0:
% 23.24/23.62 0 ==> 0
% 23.24/23.62 end
% 23.24/23.62
% 23.24/23.62 resolution: (79056) {G2,W5,D2,L1,V0,M1} { perp( skol20, skol25, skol25,
% 23.24/23.62 skol26 ) }.
% 23.24/23.62 parent0[0]: (1493) {G1,W9,D2,L2,V0,M2} R(53,116) { ! coll( skol27, skol20,
% 23.24/23.62 skol26 ), perp( skol20, skol25, skol25, skol26 ) }.
% 23.24/23.62 parent1[0]: (48275) {G12,W4,D2,L1,V0,M1} R(45982,163) { coll( skol27,
% 23.24/23.62 skol20, skol26 ) }.
% 23.24/23.62 substitution0:
% 23.24/23.62 end
% 23.24/23.62 substitution1:
% 23.24/23.62 end
% 23.24/23.62
% 23.24/23.62 subsumption: (60053) {G13,W5,D2,L1,V0,M1} S(1493);r(48275) { perp( skol20,
% 23.24/23.62 skol25, skol25, skol26 ) }.
% 23.24/23.62 parent0: (79056) {G2,W5,D2,L1,V0,M1} { perp( skol20, skol25, skol25,
% 23.24/23.62 skol26 ) }.
% 23.24/23.62 substitution0:
% 23.24/23.62 end
% 23.24/23.62 permutation0:
% 23.24/23.62 0 ==> 0
% 23.24/23.62 end
% 23.24/23.62
% 23.24/23.62 resolution: (79057) {G3,W5,D2,L1,V0,M1} { para( skol22, skol23, skol25,
% 23.24/23.62 skol26 ) }.
% 23.24/23.62 parent0[0]: (388) {G2,W10,D2,L2,V2,M2} R(251,8) { ! perp( skol20, skol25, X
% 23.24/23.62 , Y ), para( skol22, skol23, X, Y ) }.
% 23.24/23.62 parent1[0]: (60053) {G13,W5,D2,L1,V0,M1} S(1493);r(48275) { perp( skol20,
% 23.24/23.62 skol25, skol25, skol26 ) }.
% 23.24/23.62 substitution0:
% 23.24/23.62 X := skol25
% 23.24/23.62 Y := skol26
% 23.24/23.62 end
% 23.24/23.62 substitution1:
% 23.24/23.62 end
% 23.24/23.62
% 23.24/23.62 subsumption: (60060) {G14,W5,D2,L1,V0,M1} R(60053,388) { para( skol22,
% 23.24/23.62 skol23, skol25, skol26 ) }.
% 23.24/23.62 parent0: (79057) {G3,W5,D2,L1,V0,M1} { para( skol22, skol23, skol25,
% 23.24/23.62 skol26 ) }.
% 23.24/23.62 substitution0:
% 23.24/23.62 end
% 23.24/23.62 permutation0:
% 23.24/23.62 0 ==> 0
% 23.24/23.62 end
% 23.24/23.62
% 23.24/23.62 resolution: (79058) {G2,W5,D2,L1,V0,M1} { para( skol25, skol26, skol23,
% 23.24/23.62 skol22 ) }.
% 23.24/23.62 parent0[0]: (209) {G1,W10,D2,L2,V4,M2} R(4,3) { ! para( X, Y, Z, T ), para
% 23.24/23.62 ( Z, T, Y, X ) }.
% 23.24/23.62 parent1[0]: (60060) {G14,W5,D2,L1,V0,M1} R(60053,388) { para( skol22,
% 23.24/23.62 skol23, skol25, skol26 ) }.
% 23.24/23.62 substitution0:
% 23.24/23.62 X := skol22
% 23.24/23.62 Y := skol23
% 23.24/23.62 Z := skol25
% 23.24/23.62 T := skol26
% 23.24/23.62 end
% 23.24/23.62 substitution1:
% 23.24/23.62 end
% 23.24/23.62
% 23.24/23.62 subsumption: (60259) {G15,W5,D2,L1,V0,M1} R(60060,209) { para( skol25,
% 23.24/23.62 skol26, skol23, skol22 ) }.
% 23.24/23.62 parent0: (79058) {G2,W5,D2,L1,V0,M1} { para( skol25, skol26, skol23,
% 23.24/23.62 skol22 ) }.
% 23.24/23.62 substitution0:
% 23.24/23.62 end
% 23.24/23.62 permutation0:
% 23.24/23.62 0 ==> 0
% 23.24/23.62 end
% 23.24/23.62
% 23.24/23.62 resolution: (79059) {G2,W5,D2,L1,V0,M1} { para( skol23, skol22, skol26,
% 23.24/23.62 skol25 ) }.
% 23.24/23.62 parent0[0]: (209) {G1,W10,D2,L2,V4,M2} R(4,3) { ! para( X, Y, Z, T ), para
% 23.24/23.62 ( Z, T, Y, X ) }.
% 23.24/23.62 parent1[0]: (60259) {G15,W5,D2,L1,V0,M1} R(60060,209) { para( skol25,
% 23.24/23.62 skol26, skol23, skol22 ) }.
% 23.24/23.62 substitution0:
% 23.24/23.62 X := skol25
% 23.24/23.62 Y := skol26
% 23.24/23.62 Z := skol23
% 23.24/23.62 T := skol22
% 23.24/23.62 end
% 23.24/23.62 substitution1:
% 23.24/23.62 end
% 23.24/23.62
% 23.24/23.62 subsumption: (60294) {G16,W5,D2,L1,V0,M1} R(60259,209) { para( skol23,
% 23.24/23.62 skol22, skol26, skol25 ) }.
% 23.24/23.62 parent0: (79059) {G2,W5,D2,L1,V0,M1} { para( skol23, skol22, skol26,
% 23.24/23.62 skol25 ) }.
% 23.24/23.62 substitution0:
% 23.24/23.62 end
% 23.24/23.62 permutation0:
% 23.24/23.62 0 ==> 0
% 23.24/23.62 end
% 23.24/23.62
% 23.24/23.62 resolution: (79060) {G3,W5,D2,L1,V0,M1} { para( skol26, skol25, skol26,
% 23.24/23.62 skol25 ) }.
% 23.24/23.62 parent0[0]: (223) {G2,W10,D2,L2,V4,M2} F(217) { ! para( X, Y, Z, T ), para
% 23.24/23.62 ( Z, T, Z, T ) }.
% 23.24/23.62 parent1[0]: (60294) {G16,W5,D2,L1,V0,M1} R(60259,209) { para( skol23,
% 23.24/23.62 skol22, skol26, skol25 ) }.
% 23.24/23.62 substitution0:
% 23.24/23.62 X := skol23
% 23.24/23.62 Y := skol22
% 23.24/23.62 Z := skol26
% 23.24/23.62 T := skol25
% 23.24/23.62 end
% 23.24/23.62 substitution1:
% 23.24/23.62 end
% 23.24/23.62
% 23.24/23.62 subsumption: (60370) {G17,W5,D2,L1,V0,M1} R(60294,223) { para( skol26,
% 23.24/23.62 skol25, skol26, skol25 ) }.
% 23.24/23.62 parent0: (79060) {G3,W5,D2,L1,V0,M1} { para( skol26, skol25, skol26,
% 23.24/23.62 skol25 ) }.
% 23.24/23.62 substitution0:
% 23.24/23.62 end
% 23.24/23.62 permutation0:
% 23.24/23.62 0 ==> 0
% 23.24/23.62 end
% 23.24/23.62
% 23.24/23.62 resolution: (79061) {G2,W9,D2,L1,V2,M1} { eqangle( X, Y, skol26, skol25, X
% 23.24/23.62 , Y, skol26, skol25 ) }.
% 23.24/23.62 parent0[0]: (756) {G1,W14,D2,L2,V6,M2} R(39,18) { ! para( X, Y, Z, T ),
% 23.24/23.62 eqangle( U, W, X, Y, U, W, Z, T ) }.
% 23.24/23.62 parent1[0]: (60370) {G17,W5,D2,L1,V0,M1} R(60294,223) { para( skol26,
% 23.24/23.62 skol25, skol26, skol25 ) }.
% 23.24/23.62 substitution0:
% 23.24/23.62 X := skol26
% 23.24/23.62 Y := skol25
% 23.24/23.62 Z := skol26
% 23.24/23.62 T := skol25
% 23.24/23.62 U := X
% 23.24/23.62 W := Y
% 23.24/23.62 end
% 23.24/23.62 substitution1:
% 23.24/23.62 end
% 23.24/23.62
% 23.24/23.62 subsumption: (62555) {G18,W9,D2,L1,V2,M1} R(756,60370) { eqangle( X, Y,
% 23.24/23.62 skol26, skol25, X, Y, skol26, skol25 ) }.
% 23.24/23.62 parent0: (79061) {G2,W9,D2,L1,V2,M1} { eqangle( X, Y, skol26, skol25, X, Y
% 23.24/23.62 , skol26, skol25 ) }.
% 23.24/23.62 substitution0:
% 23.24/23.62 X := X
% 23.24/23.62 Y := Y
% 23.24/23.62 end
% 23.24/23.62 permutation0:
% 23.24/23.62 0 ==> 0
% 23.24/23.62 end
% 23.24/23.62
% 23.24/23.62 resolution: (79062) {G2,W14,D2,L2,V1,M2} { cyclic( X, skol25, skol26,
% 23.24/23.62 skol26 ), ! eqangle( skol26, X, skol26, skol25, skol26, X, skol26, skol25
% 23.24/23.62 ) }.
% 23.24/23.62 parent0[0]: (913) {G1,W18,D2,L3,V4,M3} R(42,19) { ! coll( X, Y, Z ), cyclic
% 23.24/23.62 ( T, Z, X, Y ), ! eqangle( Y, T, Y, Z, X, T, X, Z ) }.
% 23.24/23.62 parent1[0]: (55329) {G15,W4,D2,L1,V0,M1} R(54631,238) { coll( skol26,
% 23.24/23.62 skol26, skol25 ) }.
% 23.24/23.62 substitution0:
% 23.24/23.62 X := skol26
% 23.24/23.62 Y := skol26
% 23.24/23.62 Z := skol25
% 23.24/23.62 T := X
% 23.24/23.62 end
% 23.24/23.62 substitution1:
% 23.24/23.62 end
% 23.24/23.62
% 23.24/23.62 resolution: (79063) {G3,W5,D2,L1,V1,M1} { cyclic( X, skol25, skol26,
% 23.24/23.62 skol26 ) }.
% 23.24/23.62 parent0[1]: (79062) {G2,W14,D2,L2,V1,M2} { cyclic( X, skol25, skol26,
% 23.24/23.62 skol26 ), ! eqangle( skol26, X, skol26, skol25, skol26, X, skol26, skol25
% 23.24/23.62 ) }.
% 23.24/23.62 parent1[0]: (62555) {G18,W9,D2,L1,V2,M1} R(756,60370) { eqangle( X, Y,
% 23.24/23.62 skol26, skol25, X, Y, skol26, skol25 ) }.
% 23.24/23.62 substitution0:
% 23.24/23.62 X := X
% 23.24/23.62 end
% 23.24/23.62 substitution1:
% 23.24/23.62 X := skol26
% 23.24/23.62 Y := X
% 23.24/23.62 end
% 23.24/23.62
% 23.24/23.62 subsumption: (78059) {G19,W5,D2,L1,V1,M1} R(913,55329);r(62555) { cyclic( X
% 23.24/23.62 , skol25, skol26, skol26 ) }.
% 23.24/23.62 parent0: (79063) {G3,W5,D2,L1,V1,M1} { cyclic( X, skol25, skol26, skol26 )
% 23.24/23.62 }.
% 23.24/23.62 substitution0:
% 23.24/23.62 X := X
% 23.24/23.62 end
% 23.24/23.62 permutation0:
% 23.24/23.62 0 ==> 0
% 23.24/23.62 end
% 23.24/23.62
% 23.24/23.62 resolution: (79064) {G2,W5,D2,L1,V1,M1} { cyclic( skol25, X, skol26,
% 23.24/23.62 skol26 ) }.
% 23.24/23.62 parent0[1]: (425) {G1,W10,D2,L2,V4,M2} R(15,13) { cyclic( X, Y, Z, T ), !
% 23.24/23.62 cyclic( Y, X, T, Z ) }.
% 23.24/23.62 parent1[0]: (78059) {G19,W5,D2,L1,V1,M1} R(913,55329);r(62555) { cyclic( X
% 23.24/23.62 , skol25, skol26, skol26 ) }.
% 23.24/23.62 substitution0:
% 23.24/23.62 X := skol25
% 23.24/23.62 Y := X
% 23.24/23.62 Z := skol26
% 23.24/23.62 T := skol26
% 23.24/23.62 end
% 23.24/23.62 substitution1:
% 23.24/23.62 X := X
% 23.24/23.62 end
% 23.24/23.62
% 23.24/23.62 subsumption: (78219) {G20,W5,D2,L1,V1,M1} R(78059,425) { cyclic( skol25, X
% 23.24/23.62 , skol26, skol26 ) }.
% 23.24/23.62 parent0: (79064) {G2,W5,D2,L1,V1,M1} { cyclic( skol25, X, skol26, skol26 )
% 23.24/23.62 }.
% 23.24/23.62 substitution0:
% 23.24/23.62 X := X
% 23.24/23.62 end
% 23.24/23.62 permutation0:
% 23.24/23.62 0 ==> 0
% 23.24/23.62 end
% 23.24/23.62
% 23.24/23.62 resolution: (79065) {G3,W5,D2,L1,V1,M1} { cyclic( skol26, X, skol26,
% 23.24/23.62 skol26 ) }.
% 23.24/23.62 parent0[0]: (458) {G2,W10,D2,L2,V4,M2} F(446) { ! cyclic( X, Y, Z, T ),
% 23.24/23.62 cyclic( Z, Y, T, T ) }.
% 23.24/23.62 parent1[0]: (78219) {G20,W5,D2,L1,V1,M1} R(78059,425) { cyclic( skol25, X,
% 23.24/23.62 skol26, skol26 ) }.
% 23.24/23.62 substitution0:
% 23.24/23.62 X := skol25
% 23.24/23.62 Y := X
% 23.24/23.62 Z := skol26
% 23.24/23.62 T := skol26
% 23.24/23.62 end
% 23.24/23.62 substitution1:
% 23.24/23.62 X := X
% 23.24/23.62 end
% 23.24/23.62
% 23.24/23.62 subsumption: (78231) {G21,W5,D2,L1,V1,M1} R(78219,458) { cyclic( skol26, X
% 23.24/23.62 , skol26, skol26 ) }.
% 23.24/23.62 parent0: (79065) {G3,W5,D2,L1,V1,M1} { cyclic( skol26, X, skol26, skol26 )
% 23.24/23.62 }.
% 23.24/23.62 substitution0:
% 23.24/23.62 X := X
% 23.24/23.62 end
% 23.24/23.62 permutation0:
% 23.24/23.62 0 ==> 0
% 23.24/23.62 end
% 23.24/23.62
% 23.24/23.62 resolution: (79066) {G2,W5,D2,L1,V1,M1} { cyclic( skol26, skol26, X,
% 23.24/23.62 skol26 ) }.
% 23.24/23.62 parent0[1]: (422) {G1,W10,D2,L2,V4,M2} R(15,14) { cyclic( X, Y, Z, T ), !
% 23.24/23.62 cyclic( Y, Z, X, T ) }.
% 23.24/23.62 parent1[0]: (78231) {G21,W5,D2,L1,V1,M1} R(78219,458) { cyclic( skol26, X,
% 23.24/23.62 skol26, skol26 ) }.
% 23.24/23.62 substitution0:
% 23.24/23.62 X := skol26
% 23.24/23.62 Y := skol26
% 23.24/23.62 Z := X
% 23.24/23.62 T := skol26
% 23.24/23.62 end
% 23.24/23.62 substitution1:
% 23.24/23.62 X := X
% 23.24/23.62 end
% 23.24/23.62
% 23.24/23.62 subsumption: (78253) {G22,W5,D2,L1,V1,M1} R(78231,422) { cyclic( skol26,
% 23.24/23.62 skol26, X, skol26 ) }.
% 23.24/23.62 parent0: (79066) {G2,W5,D2,L1,V1,M1} { cyclic( skol26, skol26, X, skol26 )
% 23.24/23.62 }.
% 23.24/23.62 substitution0:
% 23.24/23.62 X := X
% 23.24/23.62 end
% 23.24/23.62 permutation0:
% 23.24/23.62 0 ==> 0
% 23.24/23.62 end
% 23.24/23.62
% 23.24/23.62 resolution: (79067) {G2,W5,D2,L1,V1,M1} { cyclic( skol26, skol26, skol26,
% 23.24/23.62 X ) }.
% 23.24/23.62 parent0[0]: (414) {G1,W10,D2,L2,V4,M2} R(14,13) { ! cyclic( X, Y, Z, T ),
% 23.24/23.62 cyclic( X, Z, T, Y ) }.
% 23.24/23.62 parent1[0]: (78231) {G21,W5,D2,L1,V1,M1} R(78219,458) { cyclic( skol26, X,
% 23.24/23.62 skol26, skol26 ) }.
% 23.24/23.62 substitution0:
% 23.24/23.62 X := skol26
% 23.24/23.62 Y := X
% 23.24/23.62 Z := skol26
% 23.24/23.62 T := skol26
% 23.24/23.62 end
% 23.24/23.62 substitution1:
% 23.24/23.62 X := X
% 23.24/23.62 end
% 23.24/23.62
% 23.24/23.62 subsumption: (78254) {G22,W5,D2,L1,V1,M1} R(78231,414) { cyclic( skol26,
% 23.24/23.62 skol26, skol26, X ) }.
% 23.24/23.62 parent0: (79067) {G2,W5,D2,L1,V1,M1} { cyclic( skol26, skol26, skol26, X )
% 23.24/23.62 }.
% 23.24/23.62 substitution0:
% 23.24/23.62 X := X
% 23.24/23.62 end
% 23.24/23.62 permutation0:
% 23.24/23.62 0 ==> 0
% 23.24/23.62 end
% 23.24/23.62
% 23.24/23.62 resolution: (79069) {G2,W10,D2,L2,V2,M2} { ! cyclic( skol26, skol26,
% 23.24/23.62 skol26, X ), cyclic( skol26, skol26, X, Y ) }.
% 23.24/23.62 parent0[2]: (454) {G1,W15,D2,L3,V5,M3} R(16,13) { ! cyclic( X, Y, Z, T ),
% 23.24/23.62 cyclic( Y, Z, T, U ), ! cyclic( X, Y, U, Z ) }.
% 23.24/23.62 parent1[0]: (78253) {G22,W5,D2,L1,V1,M1} R(78231,422) { cyclic( skol26,
% 23.24/23.62 skol26, X, skol26 ) }.
% 23.24/23.62 substitution0:
% 23.24/23.62 X := skol26
% 23.24/23.62 Y := skol26
% 23.24/23.62 Z := skol26
% 23.24/23.62 T := X
% 23.24/23.62 U := Y
% 23.24/23.62 end
% 23.24/23.62 substitution1:
% 23.24/23.62 X := Y
% 23.24/23.62 end
% 23.24/23.62
% 23.24/23.62 resolution: (79070) {G3,W5,D2,L1,V2,M1} { cyclic( skol26, skol26, X, Y )
% 23.24/23.62 }.
% 23.24/23.62 parent0[0]: (79069) {G2,W10,D2,L2,V2,M2} { ! cyclic( skol26, skol26,
% 23.24/23.62 skol26, X ), cyclic( skol26, skol26, X, Y ) }.
% 23.24/23.62 parent1[0]: (78254) {G22,W5,D2,L1,V1,M1} R(78231,414) { cyclic( skol26,
% 23.24/23.62 skol26, skol26, X ) }.
% 23.24/23.62 substitution0:
% 23.24/23.62 X := X
% 23.24/23.62 Y := Y
% 23.24/23.62 end
% 23.24/23.62 substitution1:
% 23.24/23.62 X := X
% 23.24/23.62 end
% 23.24/23.62
% 23.24/23.62 subsumption: (78259) {G23,W5,D2,L1,V2,M1} R(78253,454);r(78254) { cyclic(
% 23.24/23.62 skol26, skol26, X, Y ) }.
% 23.24/23.62 parent0: (79070) {G3,W5,D2,L1,V2,M1} { cyclic( skol26, skol26, X, Y ) }.
% 23.24/23.62 substitution0:
% 23.24/23.62 X := X
% 23.24/23.62 Y := Y
% 23.24/23.62 end
% 23.24/23.62 permutation0:
% 23.24/23.62 0 ==> 0
% 23.24/23.62 end
% 23.24/23.62
% 23.24/23.62 resolution: (79071) {G2,W10,D2,L2,V3,M2} { cyclic( skol26, X, Y, Z ), !
% 23.24/23.62 cyclic( skol26, skol26, Z, X ) }.
% 23.24/23.62 parent0[0]: (454) {G1,W15,D2,L3,V5,M3} R(16,13) { ! cyclic( X, Y, Z, T ),
% 23.24/23.62 cyclic( Y, Z, T, U ), ! cyclic( X, Y, U, Z ) }.
% 23.24/23.62 parent1[0]: (78259) {G23,W5,D2,L1,V2,M1} R(78253,454);r(78254) { cyclic(
% 23.24/23.62 skol26, skol26, X, Y ) }.
% 23.24/23.62 substitution0:
% 23.24/23.62 X := skol26
% 23.24/23.62 Y := skol26
% 23.24/23.62 Z := X
% 23.24/23.62 T := Y
% 23.24/23.62 U := Z
% 23.24/23.62 end
% 23.24/23.62 substitution1:
% 23.24/23.62 X := X
% 23.24/23.62 Y := Y
% 23.24/23.62 end
% 23.24/23.62
% 23.24/23.62 resolution: (79073) {G3,W5,D2,L1,V3,M1} { cyclic( skol26, X, Y, Z ) }.
% 23.24/23.62 parent0[1]: (79071) {G2,W10,D2,L2,V3,M2} { cyclic( skol26, X, Y, Z ), !
% 23.24/23.62 cyclic( skol26, skol26, Z, X ) }.
% 23.24/23.62 parent1[0]: (78259) {G23,W5,D2,L1,V2,M1} R(78253,454);r(78254) { cyclic(
% 23.24/23.62 skol26, skol26, X, Y ) }.
% 23.24/23.62 substitution0:
% 23.24/23.62 X := X
% 23.24/23.62 Y := Y
% 23.24/23.62 Z := Z
% 23.24/23.62 end
% 23.24/23.62 substitution1:
% 23.24/23.62 X := Z
% 23.24/23.62 Y := X
% 23.24/23.62 end
% 23.24/23.62
% 23.24/23.62 subsumption: (78281) {G24,W5,D2,L1,V3,M1} R(78259,454);r(78259) { cyclic(
% 23.24/23.62 skol26, X, Y, Z ) }.
% 23.24/23.62 parent0: (79073) {G3,W5,D2,L1,V3,M1} { cyclic( skol26, X, Y, Z ) }.
% 23.24/23.62 substitution0:
% 23.24/23.62 X := X
% 23.24/23.62 Y := Y
% 23.24/23.62 Z := Z
% 23.24/23.62 end
% 23.24/23.62 permutation0:
% 23.24/23.62 0 ==> 0
% 23.24/23.62 end
% 23.24/23.62
% 23.24/23.62 resolution: (79074) {G4,W5,D2,L1,V0,M1} { ! cyclic( skol26, skol23, skol20
% 23.24/23.62 , skol22 ) }.
% 23.24/23.62 parent0[0]: (479) {G3,W10,D2,L2,V1,M2} R(424,16) { ! cyclic( X, skol23,
% 23.24/23.62 skol20, skol24 ), ! cyclic( X, skol23, skol20, skol22 ) }.
% 23.24/23.62 parent1[0]: (78281) {G24,W5,D2,L1,V3,M1} R(78259,454);r(78259) { cyclic(
% 23.24/23.62 skol26, X, Y, Z ) }.
% 23.24/23.62 substitution0:
% 23.24/23.62 X := skol26
% 23.24/23.62 end
% 23.24/23.62 substitution1:
% 23.24/23.62 X := skol23
% 23.24/23.62 Y := skol20
% 23.24/23.62 Z := skol24
% 23.24/23.62 end
% 23.24/23.62
% 23.24/23.62 resolution: (79076) {G5,W0,D0,L0,V0,M0} { }.
% 23.24/23.62 parent0[0]: (79074) {G4,W5,D2,L1,V0,M1} { ! cyclic( skol26, skol23, skol20
% 23.24/23.62 , skol22 ) }.
% 23.24/23.62 parent1[0]: (78281) {G24,W5,D2,L1,V3,M1} R(78259,454);r(78259) { cyclic(
% 23.24/23.62 skol26, X, Y, Z ) }.
% 23.24/23.62 substitution0:
% 23.24/23.62 end
% 23.24/23.62 substitution1:
% 23.24/23.62 X := skol23
% 23.24/23.62 Y := skol20
% 23.24/23.62 Z := skol22
% 23.24/23.62 end
% 23.24/23.62
% 23.24/23.62 subsumption: (78297) {G25,W0,D0,L0,V0,M0} R(78281,479);r(78281) { }.
% 23.24/23.62 parent0: (79076) {G5,W0,D0,L0,V0,M0} { }.
% 23.24/23.62 substitution0:
% 23.24/23.62 end
% 23.24/23.62 permutation0:
% 23.24/23.62 end
% 23.24/23.62
% 23.24/23.62 Proof check complete!
% 23.24/23.62
% 23.24/23.62 Memory use:
% 23.24/23.62
% 23.24/23.62 space for terms: 1103199
% 23.24/23.62 space for clauses: 3182066
% 23.24/23.62
% 23.24/23.62
% 23.24/23.62 clauses generated: 463802
% 23.24/23.62 clauses kept: 78298
% 23.24/23.62 clauses selected: 3321
% 23.24/23.62 clauses deleted: 8364
% 23.24/23.62 clauses inuse deleted: 151
% 23.24/23.62
% 23.24/23.62 subsentry: 45009788
% 23.24/23.62 literals s-matched: 26915124
% 23.24/23.62 literals matched: 15628174
% 23.24/23.62 full subsumption: 2130511
% 23.24/23.62
% 23.24/23.62 checksum: -452094010
% 23.24/23.62
% 23.24/23.62
% 23.24/23.62 Bliksem ended
%------------------------------------------------------------------------------