TSTP Solution File: GEO642+1 by Bliksem---1.12
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- Process Solution
%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : GEO642+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 02:55:18 EDT 2022
% Result : Theorem 2.86s 3.26s
% Output : Refutation 2.86s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12 % Problem : GEO642+1 : TPTP v8.1.0. Released v7.5.0.
% 0.12/0.12 % 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 : Sat Jun 18 18:56:28 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.74/1.17 *** allocated 10000 integers for termspace/termends
% 0.74/1.17 *** allocated 10000 integers for clauses
% 0.74/1.17 *** allocated 10000 integers for justifications
% 0.74/1.17 Bliksem 1.12
% 0.74/1.17
% 0.74/1.17
% 0.74/1.17 Automatic Strategy Selection
% 0.74/1.17
% 0.74/1.17 *** allocated 15000 integers for termspace/termends
% 0.74/1.17
% 0.74/1.17 Clauses:
% 0.74/1.17
% 0.74/1.17 { ! coll( X, Y, Z ), coll( X, Z, Y ) }.
% 0.74/1.17 { ! coll( X, Y, Z ), coll( Y, X, Z ) }.
% 0.74/1.17 { ! coll( X, T, Y ), ! coll( X, T, Z ), coll( Y, Z, X ) }.
% 0.74/1.17 { ! para( X, Y, Z, T ), para( X, Y, T, Z ) }.
% 0.74/1.17 { ! para( X, Y, Z, T ), para( Z, T, X, Y ) }.
% 0.74/1.17 { ! para( X, Y, U, W ), ! para( U, W, Z, T ), para( X, Y, Z, T ) }.
% 0.74/1.17 { ! perp( X, Y, Z, T ), perp( X, Y, T, Z ) }.
% 0.74/1.17 { ! perp( X, Y, Z, T ), perp( Z, T, X, Y ) }.
% 0.74/1.17 { ! perp( X, Y, U, W ), ! perp( U, W, Z, T ), para( X, Y, Z, T ) }.
% 0.74/1.17 { ! para( X, Y, U, W ), ! perp( U, W, Z, T ), perp( X, Y, Z, T ) }.
% 0.74/1.17 { ! midp( Z, Y, X ), midp( Z, X, Y ) }.
% 0.74/1.17 { ! cong( T, X, T, Y ), ! cong( T, X, T, Z ), circle( T, X, Y, Z ) }.
% 0.74/1.17 { ! cong( U, X, U, Y ), ! cong( U, X, U, Z ), ! cong( U, X, U, T ), cyclic
% 0.74/1.17 ( X, Y, Z, T ) }.
% 0.74/1.17 { ! cyclic( X, Y, Z, T ), cyclic( X, Y, T, Z ) }.
% 0.74/1.17 { ! cyclic( X, Y, Z, T ), cyclic( X, Z, Y, T ) }.
% 0.74/1.17 { ! cyclic( X, Y, Z, T ), cyclic( Y, X, Z, T ) }.
% 0.74/1.17 { ! cyclic( U, X, Y, Z ), ! cyclic( U, X, Y, T ), cyclic( X, Y, Z, T ) }.
% 0.74/1.17 { ! eqangle( X, Y, Z, T, U, W, V0, V1 ), eqangle( Y, X, Z, T, U, W, V0, V1
% 0.74/1.17 ) }.
% 0.74/1.17 { ! eqangle( X, Y, Z, T, U, W, V0, V1 ), eqangle( Z, T, X, Y, V0, V1, U, W
% 0.74/1.17 ) }.
% 0.74/1.17 { ! eqangle( X, Y, Z, T, U, W, V0, V1 ), eqangle( U, W, V0, V1, X, Y, Z, T
% 0.74/1.17 ) }.
% 0.74/1.17 { ! eqangle( X, Y, Z, T, U, W, V0, V1 ), eqangle( X, Y, U, W, Z, T, V0, V1
% 0.74/1.17 ) }.
% 0.74/1.17 { ! eqangle( X, Y, Z, T, V2, V3, V4, V5 ), ! eqangle( V2, V3, V4, V5, U, W
% 0.74/1.17 , V0, V1 ), eqangle( X, Y, Z, T, U, W, V0, V1 ) }.
% 0.74/1.17 { ! cong( X, Y, Z, T ), cong( X, Y, T, Z ) }.
% 0.74/1.17 { ! cong( X, Y, Z, T ), cong( Z, T, X, Y ) }.
% 0.74/1.17 { ! cong( X, Y, U, W ), ! cong( U, W, Z, T ), cong( X, Y, Z, T ) }.
% 0.74/1.17 { ! eqratio( X, Y, Z, T, U, W, V0, V1 ), eqratio( Y, X, Z, T, U, W, V0, V1
% 0.74/1.17 ) }.
% 0.74/1.17 { ! eqratio( X, Y, Z, T, U, W, V0, V1 ), eqratio( Z, T, X, Y, V0, V1, U, W
% 0.74/1.17 ) }.
% 0.74/1.17 { ! eqratio( X, Y, Z, T, U, W, V0, V1 ), eqratio( U, W, V0, V1, X, Y, Z, T
% 0.74/1.17 ) }.
% 0.74/1.17 { ! eqratio( X, Y, Z, T, U, W, V0, V1 ), eqratio( X, Y, U, W, Z, T, V0, V1
% 0.74/1.17 ) }.
% 0.74/1.17 { ! eqratio( X, Y, Z, T, V2, V3, V4, V5 ), ! eqratio( V2, V3, V4, V5, U, W
% 0.74/1.17 , V0, V1 ), eqratio( X, Y, Z, T, U, W, V0, V1 ) }.
% 0.74/1.17 { ! simtri( X, Z, Y, T, W, U ), simtri( X, Y, Z, T, U, W ) }.
% 0.74/1.17 { ! simtri( Y, X, Z, U, T, W ), simtri( X, Y, Z, T, U, W ) }.
% 0.74/1.17 { ! simtri( T, U, W, X, Y, Z ), simtri( X, Y, Z, T, U, W ) }.
% 0.74/1.17 { ! simtri( X, Y, Z, V0, V1, V2 ), ! simtri( V0, V1, V2, T, U, W ), simtri
% 0.74/1.17 ( X, Y, Z, T, U, W ) }.
% 0.74/1.17 { ! contri( X, Z, Y, T, W, U ), contri( X, Y, Z, T, U, W ) }.
% 0.74/1.17 { ! contri( Y, X, Z, U, T, W ), contri( X, Y, Z, T, U, W ) }.
% 0.74/1.17 { ! contri( T, U, W, X, Y, Z ), contri( X, Y, Z, T, U, W ) }.
% 0.74/1.17 { ! contri( X, Y, Z, V0, V1, V2 ), ! contri( V0, V1, V2, T, U, W ), contri
% 0.74/1.17 ( X, Y, Z, T, U, W ) }.
% 0.74/1.17 { ! eqangle( X, Y, U, W, Z, T, U, W ), para( X, Y, Z, T ) }.
% 0.74/1.17 { ! para( X, Y, Z, T ), eqangle( X, Y, U, W, Z, T, U, W ) }.
% 0.74/1.17 { ! cyclic( X, Y, Z, T ), eqangle( Z, X, Z, Y, T, X, T, Y ) }.
% 0.74/1.17 { ! eqangle( Z, X, Z, Y, T, X, T, Y ), coll( Z, T, X ), cyclic( X, Y, Z, T
% 0.74/1.17 ) }.
% 0.74/1.17 { ! eqangle( Z, X, Z, Y, T, X, T, Y ), ! coll( Z, T, Y ), cyclic( X, Y, Z,
% 0.74/1.17 T ) }.
% 0.74/1.17 { ! cyclic( X, Y, U, Z ), ! cyclic( X, Y, U, T ), ! cyclic( X, Y, U, W ), !
% 0.74/1.17 eqangle( U, X, U, Y, W, Z, W, T ), cong( X, Y, Z, T ) }.
% 0.74/1.17 { ! midp( Z, U, X ), ! midp( T, U, Y ), para( Z, T, X, Y ) }.
% 0.74/1.17 { ! midp( U, X, T ), ! para( U, Z, T, Y ), ! coll( Z, X, Y ), midp( Z, X, Y
% 0.74/1.17 ) }.
% 0.74/1.17 { ! cong( Z, X, Z, Y ), eqangle( Z, X, X, Y, X, Y, Z, Y ) }.
% 0.74/1.17 { ! eqangle( Z, X, X, Y, X, Y, Z, Y ), coll( Z, X, Y ), cong( Z, X, Z, Y )
% 0.74/1.17 }.
% 0.74/1.17 { ! circle( U, X, Y, Z ), ! perp( U, X, X, T ), eqangle( X, T, X, Y, Z, X,
% 0.74/1.17 Z, Y ) }.
% 0.74/1.17 { ! circle( Y, X, T, U ), ! eqangle( X, Z, X, T, U, X, U, T ), perp( Y, X,
% 0.74/1.17 X, Z ) }.
% 0.74/1.17 { ! circle( T, X, Y, Z ), ! midp( U, Y, Z ), eqangle( X, Y, X, Z, T, Y, T,
% 0.74/1.17 U ) }.
% 0.74/1.17 { ! circle( U, T, X, Y ), ! coll( Z, X, Y ), ! eqangle( T, X, T, Y, U, X, U
% 0.74/1.17 , Z ), midp( Z, X, Y ) }.
% 0.74/1.17 { ! perp( X, Y, Y, T ), ! midp( Z, X, T ), cong( X, Z, Y, Z ) }.
% 0.74/1.17 { ! circle( T, X, Y, Z ), ! coll( T, X, Z ), perp( X, Y, Y, Z ) }.
% 0.74/1.17 { ! cyclic( X, Y, Z, T ), ! para( X, Y, Z, T ), eqangle( X, T, Z, T, Z, T,
% 0.74/1.17 Z, Y ) }.
% 0.74/1.17 { ! midp( T, X, Y ), ! perp( Z, T, X, Y ), cong( Z, X, Z, Y ) }.
% 0.74/1.17 { ! cong( X, Z, Y, Z ), ! cong( X, T, Y, T ), perp( X, Y, Z, T ) }.
% 0.74/1.17 { ! cong( X, Y, T, Y ), ! cong( X, Z, T, Z ), ! cyclic( X, T, Y, Z ), perp
% 0.74/1.17 ( Y, X, X, Z ) }.
% 0.74/1.17 { ! eqangle( X, Y, Y, Z, T, U, U, W ), ! eqangle( X, Z, Y, Z, T, W, U, W )
% 0.74/1.17 , coll( X, Y, Z ), simtri( X, Y, Z, T, U, W ) }.
% 0.74/1.17 { ! simtri( X, Y, Z, T, U, W ), eqratio( X, Y, X, Z, T, U, T, W ) }.
% 0.74/1.17 { ! simtri( X, Y, Z, T, U, W ), eqangle( X, Y, Y, Z, T, U, U, W ) }.
% 0.74/1.17 { ! simtri( X, Y, Z, T, U, W ), ! cong( X, Y, T, U ), contri( X, Y, Z, T, U
% 0.74/1.17 , W ) }.
% 0.74/1.17 { ! contri( X, Y, U, Z, T, W ), cong( X, Y, Z, T ) }.
% 0.74/1.17 { ! midp( U, X, Y ), ! midp( U, Z, T ), para( X, Z, Y, T ) }.
% 0.74/1.17 { ! midp( Z, T, U ), ! para( T, X, U, Y ), ! para( T, Y, U, X ), midp( Z, X
% 0.74/1.17 , Y ) }.
% 0.74/1.17 { ! para( X, Y, Z, T ), ! coll( U, X, Z ), ! coll( U, Y, T ), eqratio( U, X
% 0.74/1.17 , X, Z, U, Y, Y, T ) }.
% 0.74/1.17 { ! para( X, Y, X, Z ), coll( X, Y, Z ) }.
% 0.74/1.17 { ! cong( X, Y, X, Z ), ! coll( X, Y, Z ), midp( X, Y, Z ) }.
% 0.74/1.17 { ! midp( X, Y, Z ), cong( X, Y, X, Z ) }.
% 0.74/1.17 { ! midp( X, Y, Z ), coll( X, Y, Z ) }.
% 0.74/1.17 { ! midp( U, X, Y ), ! midp( W, Z, T ), eqratio( U, X, X, Y, W, Z, Z, T ) }
% 0.74/1.17 .
% 0.74/1.17 { ! eqangle( X, Y, Z, T, Z, T, X, Y ), para( X, Y, Z, T ), perp( X, Y, Z, T
% 0.74/1.17 ) }.
% 0.74/1.17 { ! eqangle( X, Y, Z, T, Z, T, X, Y ), perp( X, Y, Z, T ), para( X, Y, Z, T
% 0.74/1.17 ) }.
% 0.74/1.17 { ! eqangle( X, Y, Z, T, U, W, V0, V1 ), ! para( U, W, V0, V1 ), para( X, Y
% 0.74/1.17 , Z, T ) }.
% 0.74/1.17 { ! eqangle( X, Y, Z, T, U, W, V0, V1 ), ! perp( U, W, V0, V1 ), perp( X, Y
% 0.74/1.17 , Z, T ) }.
% 0.74/1.17 { ! eqratio( X, Y, Z, T, U, W, V0, V1 ), ! cong( U, W, V0, V1 ), cong( X, Y
% 0.74/1.17 , Z, T ) }.
% 0.74/1.17 { ! perp( Z, Y, Y, X ), ! eqangle( T, Z, Y, Z, Y, Z, X, Z ), coll( skol1( U
% 0.74/1.17 , W, Z, T ), Z, T ) }.
% 0.74/1.17 { ! perp( Z, Y, Y, X ), ! eqangle( T, Z, Y, Z, Y, Z, X, Z ), coll( skol1( X
% 0.74/1.17 , Y, Z, T ), X, Y ) }.
% 0.74/1.17 { ! cong( Z, X, Z, Y ), ! eqangle( X, Z, Z, T, Z, T, Z, Y ), coll( skol2( U
% 0.74/1.17 , W, Z, T ), Z, T ) }.
% 0.74/1.17 { ! cong( Z, X, Z, Y ), ! eqangle( X, Z, Z, T, Z, T, Z, Y ), coll( Y, X,
% 0.74/1.17 skol2( X, Y, Z, T ) ) }.
% 0.74/1.17 { ! perp( Z, T, X, Y ), ! eqangle( X, Z, Z, T, Z, T, Z, Y ), coll( skol3( U
% 0.74/1.17 , W, Z, T ), Z, T ) }.
% 0.74/1.17 { ! perp( Z, T, X, Y ), ! eqangle( X, Z, Z, T, Z, T, Z, Y ), coll( Y, X,
% 0.74/1.17 skol3( X, Y, Z, T ) ) }.
% 0.74/1.17 { ! perp( Z, T, X, Y ), ! cong( Z, X, Z, Y ), coll( skol4( U, W, Z, T ), Z
% 0.74/1.17 , T ) }.
% 0.74/1.17 { ! perp( Z, T, X, Y ), ! cong( Z, X, Z, Y ), coll( Y, X, skol4( X, Y, Z, T
% 0.74/1.17 ) ) }.
% 0.74/1.17 { ! eqangle( X, Z, Y, Z, X, T, Y, U ), coll( X, Y, Z ), cyclic( T, Y, Z,
% 0.74/1.17 skol5( W, Y, Z, T ) ) }.
% 0.74/1.17 { ! eqangle( X, Z, Y, Z, X, T, Y, U ), coll( X, Y, Z ), eqangle( X, Z, Y, Z
% 0.74/1.17 , X, skol5( X, Y, Z, T ), Y, skol5( X, Y, Z, T ) ) }.
% 0.74/1.17 { ! midp( U, X, Y ), ! midp( W, Z, T ), midp( skol6( X, V0, V1, T, V2, V3 )
% 0.74/1.17 , X, T ) }.
% 0.74/1.17 { ! midp( U, X, Y ), ! midp( W, Z, T ), para( skol6( X, V0, Z, T, V1, W ),
% 0.74/1.17 W, X, Z ) }.
% 0.74/1.17 { ! midp( U, X, Y ), ! midp( W, Z, T ), para( skol6( X, Y, Z, T, U, W ), U
% 0.74/1.17 , Y, T ) }.
% 0.74/1.17 { ! midp( Z, X, Y ), ! midp( W, T, U ), ! coll( T, X, Y ), ! coll( U, X, Y
% 0.74/1.17 ), midp( skol7( X, V0 ), X, V0 ) }.
% 0.74/1.17 { ! midp( T, X, U ), ! para( X, W, Z, T ), ! para( X, W, U, Y ), ! coll( W
% 0.74/1.17 , Y, Z ), coll( skol8( V0, V1, Z, T ), T, Z ) }.
% 0.74/1.17 { ! midp( T, X, U ), ! para( X, W, Z, T ), ! para( X, W, U, Y ), ! coll( W
% 0.74/1.17 , Y, Z ), coll( skol8( X, Y, Z, T ), X, Y ) }.
% 0.74/1.17 { ! cong( T, Z, T, U ), ! perp( X, Y, Y, T ), cong( T, Z, T, skol9( W, V0,
% 0.74/1.17 Z, T ) ) }.
% 0.74/1.17 { ! cong( T, Z, T, U ), ! perp( X, Y, Y, T ), cong( Y, Z, Y, skol9( W, Y, Z
% 0.74/1.17 , T ) ) }.
% 0.74/1.17 { ! cong( T, Z, T, U ), ! perp( X, Y, Y, T ), para( skol9( X, Y, Z, T ), Z
% 0.74/1.17 , X, Y ) }.
% 0.74/1.17 { ! perp( X, T, Y, Z ), ! perp( Y, T, X, Z ), coll( skol10( U, Y, Z ), Z, Y
% 0.74/1.17 ) }.
% 0.74/1.17 { ! perp( X, T, Y, Z ), ! perp( Y, T, X, Z ), perp( X, skol10( X, Y, Z ), Z
% 0.74/1.17 , Y ) }.
% 0.74/1.17 { ! perp( X, T, Y, Z ), ! perp( Y, T, X, Z ), alpha1( X, Y, Z ) }.
% 0.74/1.17 { ! alpha1( X, Y, Z ), coll( skol11( X, T, Z ), Z, X ) }.
% 0.74/1.17 { ! alpha1( X, Y, Z ), perp( Y, skol11( X, Y, Z ), Z, X ) }.
% 0.74/1.17 { ! coll( T, Z, X ), ! perp( Y, T, Z, X ), alpha1( X, Y, Z ) }.
% 0.74/1.17 { ! circle( Y, X, Z, T ), perp( skol12( X, Y ), X, X, Y ) }.
% 2.46/2.88 { ! circle( W, X, Y, Z ), ! cong( W, X, W, T ), ! cong( U, X, U, Y ), W = U
% 2.46/2.88 , alpha2( X, Z, U, skol13( X, V0, Z, V1, U ) ) }.
% 2.46/2.88 { ! circle( W, X, Y, Z ), ! cong( W, X, W, T ), ! cong( U, X, U, Y ), W = U
% 2.46/2.88 , coll( skol21( V0, Y, T, V1 ), Y, T ) }.
% 2.46/2.88 { ! circle( W, X, Y, Z ), ! cong( W, X, W, T ), ! cong( U, X, U, Y ), W = U
% 2.46/2.88 , cong( skol21( X, Y, T, U ), U, U, X ) }.
% 2.46/2.88 { ! alpha2( X, Y, Z, T ), coll( T, X, Y ) }.
% 2.46/2.88 { ! alpha2( X, Y, Z, T ), cong( T, Z, Z, X ) }.
% 2.46/2.88 { ! coll( T, X, Y ), ! cong( T, Z, Z, X ), alpha2( X, Y, Z, T ) }.
% 2.46/2.88 { ! cyclic( X, Y, Z, T ), ! para( X, Y, Z, T ), ! midp( U, X, Y ), circle(
% 2.46/2.88 skol14( X, Y, Z ), X, Y, Z ) }.
% 2.46/2.88 { ! perp( X, Z, Z, Y ), ! cyclic( X, Y, Z, T ), circle( skol15( X, Y, Z ),
% 2.46/2.88 X, Y, Z ) }.
% 2.46/2.88 { ! perp( X, U, U, T ), ! coll( T, Y, Z ), coll( skol16( W, Y, Z ), Y, Z )
% 2.46/2.88 }.
% 2.46/2.88 { ! perp( X, U, U, T ), ! coll( T, Y, Z ), perp( skol16( X, Y, Z ), X, Y, Z
% 2.46/2.88 ) }.
% 2.46/2.88 { ! perp( X, Z, X, Y ), ! perp( Y, X, Y, T ), ! midp( U, Z, T ), midp(
% 2.46/2.88 skol17( X, Y ), X, Y ) }.
% 2.46/2.88 { ! cong( Y, X, Y, Z ), ! perp( X, Y, Y, Z ), coll( X, Y, skol18( X, Y ) )
% 2.46/2.88 }.
% 2.46/2.88 { ! cong( Y, X, Y, Z ), ! perp( X, Y, Y, Z ), cong( Y, X, Y, skol18( X, Y )
% 2.46/2.88 ) }.
% 2.46/2.88 { ! para( U, W, X, Y ), ! coll( Z, U, X ), ! coll( Z, W, Y ), ! coll( T, U
% 2.46/2.88 , W ), coll( Z, T, skol19( V0, V1, Z, T ) ) }.
% 2.46/2.88 { ! para( U, W, X, Y ), ! coll( Z, U, X ), ! coll( Z, W, Y ), ! coll( T, U
% 2.46/2.88 , W ), coll( skol19( X, Y, Z, T ), X, Y ) }.
% 2.46/2.88 { midp( skol26, skol25, skol20 ) }.
% 2.46/2.88 { circle( skol26, skol20, skol27, skol28 ) }.
% 2.46/2.88 { circle( skol26, skol20, skol29, skol30 ) }.
% 2.46/2.88 { circle( skol26, skol20, skol31, skol32 ) }.
% 2.46/2.88 { circle( skol29, skol25, skol33, skol34 ) }.
% 2.46/2.88 { circle( skol26, skol20, skol22, skol35 ) }.
% 2.46/2.88 { circle( skol29, skol25, skol22, skol36 ) }.
% 2.46/2.88 { coll( skol37, skol25, skol31 ) }.
% 2.46/2.88 { coll( skol37, skol20, skol22 ) }.
% 2.46/2.88 { coll( skol23, skol20, skol29 ) }.
% 2.46/2.88 { coll( skol23, skol25, skol31 ) }.
% 2.46/2.88 { coll( skol24, skol20, skol22 ) }.
% 2.46/2.88 { coll( skol24, skol29, skol31 ) }.
% 2.46/2.88 { ! perp( skol23, skol24, skol20, skol22 ) }.
% 2.46/2.88
% 2.46/2.88 percentage equality = 0.008621, percentage horn = 0.930769
% 2.46/2.88 This is a problem with some equality
% 2.46/2.88
% 2.46/2.88
% 2.46/2.88
% 2.46/2.88 Options Used:
% 2.46/2.88
% 2.46/2.88 useres = 1
% 2.46/2.88 useparamod = 1
% 2.46/2.88 useeqrefl = 1
% 2.46/2.88 useeqfact = 1
% 2.46/2.88 usefactor = 1
% 2.46/2.88 usesimpsplitting = 0
% 2.46/2.88 usesimpdemod = 5
% 2.46/2.88 usesimpres = 3
% 2.46/2.88
% 2.46/2.88 resimpinuse = 1000
% 2.46/2.88 resimpclauses = 20000
% 2.46/2.88 substype = eqrewr
% 2.46/2.88 backwardsubs = 1
% 2.46/2.88 selectoldest = 5
% 2.46/2.88
% 2.46/2.88 litorderings [0] = split
% 2.46/2.88 litorderings [1] = extend the termordering, first sorting on arguments
% 2.46/2.88
% 2.46/2.88 termordering = kbo
% 2.46/2.88
% 2.46/2.88 litapriori = 0
% 2.46/2.88 termapriori = 1
% 2.46/2.88 litaposteriori = 0
% 2.46/2.88 termaposteriori = 0
% 2.46/2.88 demodaposteriori = 0
% 2.46/2.88 ordereqreflfact = 0
% 2.46/2.88
% 2.46/2.88 litselect = negord
% 2.46/2.88
% 2.46/2.88 maxweight = 15
% 2.46/2.88 maxdepth = 30000
% 2.46/2.88 maxlength = 115
% 2.46/2.88 maxnrvars = 195
% 2.46/2.88 excuselevel = 1
% 2.46/2.88 increasemaxweight = 1
% 2.46/2.88
% 2.46/2.88 maxselected = 10000000
% 2.46/2.88 maxnrclauses = 10000000
% 2.46/2.88
% 2.46/2.88 showgenerated = 0
% 2.46/2.88 showkept = 0
% 2.46/2.88 showselected = 0
% 2.46/2.88 showdeleted = 0
% 2.46/2.88 showresimp = 1
% 2.46/2.88 showstatus = 2000
% 2.46/2.88
% 2.46/2.88 prologoutput = 0
% 2.46/2.88 nrgoals = 5000000
% 2.46/2.88 totalproof = 1
% 2.46/2.88
% 2.46/2.88 Symbols occurring in the translation:
% 2.46/2.88
% 2.46/2.88 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 2.46/2.88 . [1, 2] (w:1, o:54, a:1, s:1, b:0),
% 2.46/2.88 ! [4, 1] (w:0, o:49, a:1, s:1, b:0),
% 2.46/2.88 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 2.46/2.88 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 2.46/2.88 coll [38, 3] (w:1, o:82, a:1, s:1, b:0),
% 2.46/2.88 para [40, 4] (w:1, o:90, a:1, s:1, b:0),
% 2.46/2.88 perp [43, 4] (w:1, o:91, a:1, s:1, b:0),
% 2.46/2.88 midp [45, 3] (w:1, o:83, a:1, s:1, b:0),
% 2.46/2.88 cong [47, 4] (w:1, o:92, a:1, s:1, b:0),
% 2.46/2.88 circle [48, 4] (w:1, o:93, a:1, s:1, b:0),
% 2.46/2.88 cyclic [49, 4] (w:1, o:94, a:1, s:1, b:0),
% 2.46/2.88 eqangle [54, 8] (w:1, o:109, a:1, s:1, b:0),
% 2.46/2.88 eqratio [57, 8] (w:1, o:110, a:1, s:1, b:0),
% 2.46/2.88 simtri [59, 6] (w:1, o:106, a:1, s:1, b:0),
% 2.46/2.88 contri [60, 6] (w:1, o:107, a:1, s:1, b:0),
% 2.46/2.88 alpha1 [72, 3] (w:1, o:84, a:1, s:1, b:1),
% 2.46/2.88 alpha2 [73, 4] (w:1, o:95, a:1, s:1, b:1),
% 2.46/2.88 skol1 [74, 4] (w:1, o:96, a:1, s:1, b:1),
% 2.46/2.88 skol2 [75, 4] (w:1, o:98, a:1, s:1, b:1),
% 2.86/3.25 skol3 [76, 4] (w:1, o:100, a:1, s:1, b:1),
% 2.86/3.25 skol4 [77, 4] (w:1, o:101, a:1, s:1, b:1),
% 2.86/3.25 skol5 [78, 4] (w:1, o:102, a:1, s:1, b:1),
% 2.86/3.25 skol6 [79, 6] (w:1, o:108, a:1, s:1, b:1),
% 2.86/3.25 skol7 [80, 2] (w:1, o:78, a:1, s:1, b:1),
% 2.86/3.25 skol8 [81, 4] (w:1, o:103, a:1, s:1, b:1),
% 2.86/3.25 skol9 [82, 4] (w:1, o:104, a:1, s:1, b:1),
% 2.86/3.25 skol10 [83, 3] (w:1, o:85, a:1, s:1, b:1),
% 2.86/3.25 skol11 [84, 3] (w:1, o:86, a:1, s:1, b:1),
% 2.86/3.25 skol12 [85, 2] (w:1, o:79, a:1, s:1, b:1),
% 2.86/3.25 skol13 [86, 5] (w:1, o:105, a:1, s:1, b:1),
% 2.86/3.25 skol14 [87, 3] (w:1, o:87, a:1, s:1, b:1),
% 2.86/3.25 skol15 [88, 3] (w:1, o:88, a:1, s:1, b:1),
% 2.86/3.25 skol16 [89, 3] (w:1, o:89, a:1, s:1, b:1),
% 2.86/3.25 skol17 [90, 2] (w:1, o:80, a:1, s:1, b:1),
% 2.86/3.25 skol18 [91, 2] (w:1, o:81, a:1, s:1, b:1),
% 2.86/3.25 skol19 [92, 4] (w:1, o:97, a:1, s:1, b:1),
% 2.86/3.25 skol20 [93, 0] (w:1, o:32, a:1, s:1, b:1),
% 2.86/3.25 skol21 [94, 4] (w:1, o:99, a:1, s:1, b:1),
% 2.86/3.25 skol22 [95, 0] (w:1, o:33, a:1, s:1, b:1),
% 2.86/3.25 skol23 [96, 0] (w:1, o:34, a:1, s:1, b:1),
% 2.86/3.25 skol24 [97, 0] (w:1, o:35, a:1, s:1, b:1),
% 2.86/3.25 skol25 [98, 0] (w:1, o:36, a:1, s:1, b:1),
% 2.86/3.25 skol26 [99, 0] (w:1, o:37, a:1, s:1, b:1),
% 2.86/3.25 skol27 [100, 0] (w:1, o:38, a:1, s:1, b:1),
% 2.86/3.25 skol28 [101, 0] (w:1, o:39, a:1, s:1, b:1),
% 2.86/3.25 skol29 [102, 0] (w:1, o:40, a:1, s:1, b:1),
% 2.86/3.25 skol30 [103, 0] (w:1, o:41, a:1, s:1, b:1),
% 2.86/3.25 skol31 [104, 0] (w:1, o:42, a:1, s:1, b:1),
% 2.86/3.25 skol32 [105, 0] (w:1, o:43, a:1, s:1, b:1),
% 2.86/3.25 skol33 [106, 0] (w:1, o:44, a:1, s:1, b:1),
% 2.86/3.25 skol34 [107, 0] (w:1, o:45, a:1, s:1, b:1),
% 2.86/3.25 skol35 [108, 0] (w:1, o:46, a:1, s:1, b:1),
% 2.86/3.25 skol36 [109, 0] (w:1, o:47, a:1, s:1, b:1),
% 2.86/3.25 skol37 [110, 0] (w:1, o:48, a:1, s:1, b:1).
% 2.86/3.25
% 2.86/3.25
% 2.86/3.25 Starting Search:
% 2.86/3.25
% 2.86/3.25 *** allocated 15000 integers for clauses
% 2.86/3.25 *** allocated 22500 integers for clauses
% 2.86/3.25 *** allocated 33750 integers for clauses
% 2.86/3.25 *** allocated 50625 integers for clauses
% 2.86/3.25 *** allocated 22500 integers for termspace/termends
% 2.86/3.25 *** allocated 75937 integers for clauses
% 2.86/3.25 Resimplifying inuse:
% 2.86/3.25 Done
% 2.86/3.25
% 2.86/3.25 *** allocated 33750 integers for termspace/termends
% 2.86/3.25 *** allocated 113905 integers for clauses
% 2.86/3.25 *** allocated 50625 integers for termspace/termends
% 2.86/3.25
% 2.86/3.25 Intermediate Status:
% 2.86/3.25 Generated: 9627
% 2.86/3.25 Kept: 2006
% 2.86/3.25 Inuse: 320
% 2.86/3.25 Deleted: 0
% 2.86/3.25 Deletedinuse: 0
% 2.86/3.25
% 2.86/3.25 Resimplifying inuse:
% 2.86/3.25 Done
% 2.86/3.25
% 2.86/3.25 *** allocated 170857 integers for clauses
% 2.86/3.25 *** allocated 75937 integers for termspace/termends
% 2.86/3.25 Resimplifying inuse:
% 2.86/3.25 Done
% 2.86/3.25
% 2.86/3.25 *** allocated 256285 integers for clauses
% 2.86/3.25 *** allocated 113905 integers for termspace/termends
% 2.86/3.25
% 2.86/3.25 Intermediate Status:
% 2.86/3.25 Generated: 20859
% 2.86/3.25 Kept: 4013
% 2.86/3.25 Inuse: 462
% 2.86/3.25 Deleted: 0
% 2.86/3.25 Deletedinuse: 0
% 2.86/3.25
% 2.86/3.25 Resimplifying inuse:
% 2.86/3.25 Done
% 2.86/3.25
% 2.86/3.25 *** allocated 384427 integers for clauses
% 2.86/3.25 Resimplifying inuse:
% 2.86/3.25 Done
% 2.86/3.25
% 2.86/3.25 *** allocated 170857 integers for termspace/termends
% 2.86/3.25
% 2.86/3.25 Intermediate Status:
% 2.86/3.25 Generated: 33300
% 2.86/3.25 Kept: 6064
% 2.86/3.25 Inuse: 531
% 2.86/3.25 Deleted: 0
% 2.86/3.25 Deletedinuse: 0
% 2.86/3.25
% 2.86/3.25 Resimplifying inuse:
% 2.86/3.25 Done
% 2.86/3.25
% 2.86/3.25 Resimplifying inuse:
% 2.86/3.25 Done
% 2.86/3.25
% 2.86/3.25 *** allocated 576640 integers for clauses
% 2.86/3.25
% 2.86/3.25 Intermediate Status:
% 2.86/3.25 Generated: 45432
% 2.86/3.25 Kept: 8079
% 2.86/3.25 Inuse: 670
% 2.86/3.25 Deleted: 1
% 2.86/3.25 Deletedinuse: 0
% 2.86/3.25
% 2.86/3.25 Resimplifying inuse:
% 2.86/3.25 Done
% 2.86/3.25
% 2.86/3.25 *** allocated 256285 integers for termspace/termends
% 2.86/3.25 Resimplifying inuse:
% 2.86/3.25 Done
% 2.86/3.25
% 2.86/3.25
% 2.86/3.25 Intermediate Status:
% 2.86/3.25 Generated: 57029
% 2.86/3.25 Kept: 10180
% 2.86/3.25 Inuse: 859
% 2.86/3.25 Deleted: 869
% 2.86/3.25 Deletedinuse: 517
% 2.86/3.25
% 2.86/3.25 Resimplifying inuse:
% 2.86/3.25 Done
% 2.86/3.25
% 2.86/3.25 *** allocated 864960 integers for clauses
% 2.86/3.25 Resimplifying inuse:
% 2.86/3.25 Done
% 2.86/3.25
% 2.86/3.25
% 2.86/3.25 Intermediate Status:
% 2.86/3.25 Generated: 68036
% 2.86/3.25 Kept: 12182
% 2.86/3.25 Inuse: 1064
% 2.86/3.25 Deleted: 875
% 2.86/3.25 Deletedinuse: 517
% 2.86/3.25
% 2.86/3.25 Resimplifying inuse:
% 2.86/3.25 Done
% 2.86/3.25
% 2.86/3.25 Resimplifying inuse:
% 2.86/3.25 Done
% 2.86/3.25
% 2.86/3.25
% 2.86/3.25 Intermediate Status:
% 2.86/3.25 Generated: 86388
% 2.86/3.25 Kept: 14184
% 2.86/3.25 Inuse: 1357
% 2.86/3.25 Deleted: 946
% 2.86/3.25 Deletedinuse: 559
% 2.86/3.25
% 2.86/3.25 Resimplifying inuse:
% 2.86/3.25 Done
% 2.86/3.25
% 2.86/3.25 *** allocated 384427 integers for termspace/termends
% 2.86/3.25 Resimplifying inuse:
% 2.86/3.25 Done
% 2.86/3.25
% 2.86/3.25
% 2.86/3.25 Intermediate Status:
% 2.86/3.25 Generated: 99794
% 2.86/3.25 Kept: 16190
% 2.86/3.25 Inuse: 1623
% 2.86/3.25 Deleted: 1181
% 2.86/3.25 Deletedinuse: 778
% 2.86/3.25
% 2.86/3.25 Resimplifying inuse:
% 2.86/3.25 Done
% 2.86/3.25
% 2.86/3.25 *** allocated 1297440 integers for clauses
% 2.86/3.25 Resimplifying inuse:
% 2.86/3.25 Done
% 2.86/3.25
% 2.86/3.25
% 2.86/3.25 Intermediate Status:
% 2.86/3.26 Generated: 121169
% 2.86/3.26 Kept: 18203
% 2.86/3.26 Inuse: 1974
% 2.86/3.26 Deleted: 1399
% 2.86/3.26 Deletedinuse: 914
% 2.86/3.26
% 2.86/3.26 Resimplifying inuse:
% 2.86/3.26 Done
% 2.86/3.26
% 2.86/3.26 Resimplifying inuse:
% 2.86/3.26 Done
% 2.86/3.26
% 2.86/3.26
% 2.86/3.26 Bliksems!, er is een bewijs:
% 2.86/3.26 % SZS status Theorem
% 2.86/3.26 % SZS output start Refutation
% 2.86/3.26
% 2.86/3.26 (0) {G0,W8,D2,L2,V3,M2} I { ! coll( X, Y, Z ), coll( X, Z, Y ) }.
% 2.86/3.26 (1) {G0,W8,D2,L2,V3,M2} I { ! coll( X, Y, Z ), coll( Y, X, Z ) }.
% 2.86/3.26 (2) {G0,W12,D2,L3,V4,M3} I { ! coll( X, T, Y ), ! coll( X, T, Z ), coll( Y
% 2.86/3.26 , Z, X ) }.
% 2.86/3.26 (3) {G0,W10,D2,L2,V4,M2} I { ! para( X, Y, Z, T ), para( X, Y, T, Z ) }.
% 2.86/3.26 (4) {G0,W10,D2,L2,V4,M2} I { ! para( X, Y, Z, T ), para( Z, T, X, Y ) }.
% 2.86/3.26 (5) {G0,W15,D2,L3,V6,M3} I { ! para( X, Y, U, W ), ! para( U, W, Z, T ),
% 2.86/3.26 para( X, Y, Z, T ) }.
% 2.86/3.26 (6) {G0,W10,D2,L2,V4,M2} I { ! perp( X, Y, Z, T ), perp( X, Y, T, Z ) }.
% 2.86/3.26 (7) {G0,W10,D2,L2,V4,M2} I { ! perp( X, Y, Z, T ), perp( Z, T, X, Y ) }.
% 2.86/3.26 (8) {G0,W15,D2,L3,V6,M3} I { ! perp( X, Y, U, W ), ! perp( U, W, Z, T ),
% 2.86/3.26 para( X, Y, Z, T ) }.
% 2.86/3.26 (9) {G0,W15,D2,L3,V6,M3} I { ! para( X, Y, U, W ), ! perp( U, W, Z, T ),
% 2.86/3.26 perp( X, Y, Z, T ) }.
% 2.86/3.26 (10) {G0,W8,D2,L2,V3,M2} I { ! midp( Z, Y, X ), midp( Z, X, Y ) }.
% 2.86/3.26 (11) {G0,W15,D2,L3,V4,M3} I { ! cong( T, X, T, Y ), ! cong( T, X, T, Z ),
% 2.86/3.26 circle( T, X, Y, Z ) }.
% 2.86/3.26 (12) {G0,W20,D2,L4,V5,M4} I { ! cong( U, X, U, Y ), ! cong( U, X, U, Z ), !
% 2.86/3.26 cong( U, X, U, T ), cyclic( X, Y, Z, T ) }.
% 2.86/3.26 (16) {G0,W15,D2,L3,V5,M3} I { ! cyclic( U, X, Y, Z ), ! cyclic( U, X, Y, T
% 2.86/3.26 ), cyclic( X, Y, Z, T ) }.
% 2.86/3.26 (17) {G0,W18,D2,L2,V8,M2} I { ! eqangle( X, Y, Z, T, U, W, V0, V1 ),
% 2.86/3.26 eqangle( Y, X, Z, T, U, W, V0, V1 ) }.
% 2.86/3.26 (18) {G0,W18,D2,L2,V8,M2} I { ! eqangle( X, Y, Z, T, U, W, V0, V1 ),
% 2.86/3.26 eqangle( Z, T, X, Y, V0, V1, U, W ) }.
% 2.86/3.26 (19) {G0,W18,D2,L2,V8,M2} I { ! eqangle( X, Y, Z, T, U, W, V0, V1 ),
% 2.86/3.26 eqangle( U, W, V0, V1, X, Y, Z, T ) }.
% 2.86/3.26 (20) {G0,W18,D2,L2,V8,M2} I { ! eqangle( X, Y, Z, T, U, W, V0, V1 ),
% 2.86/3.26 eqangle( X, Y, U, W, Z, T, V0, V1 ) }.
% 2.86/3.26 (22) {G0,W10,D2,L2,V4,M2} I { ! cong( X, Y, Z, T ), cong( X, Y, T, Z ) }.
% 2.86/3.26 (23) {G0,W10,D2,L2,V4,M2} I { ! cong( X, Y, Z, T ), cong( Z, T, X, Y ) }.
% 2.86/3.26 (24) {G0,W15,D2,L3,V6,M3} I { ! cong( X, Y, U, W ), ! cong( U, W, Z, T ),
% 2.86/3.26 cong( X, Y, Z, T ) }.
% 2.86/3.26 (38) {G0,W14,D2,L2,V6,M2} I { ! eqangle( X, Y, U, W, Z, T, U, W ), para( X
% 2.86/3.26 , Y, Z, T ) }.
% 2.86/3.26 (39) {G0,W14,D2,L2,V6,M2} I { ! para( X, Y, Z, T ), eqangle( X, Y, U, W, Z
% 2.86/3.26 , T, U, W ) }.
% 2.86/3.26 (43) {G0,W29,D2,L5,V6,M5} I { ! cyclic( X, Y, U, Z ), ! cyclic( X, Y, U, T
% 2.86/3.26 ), ! cyclic( X, Y, U, W ), ! eqangle( U, X, U, Y, W, Z, W, T ), cong( X
% 2.86/3.26 , Y, Z, T ) }.
% 2.86/3.26 (46) {G0,W14,D2,L2,V3,M2} I { ! cong( Z, X, Z, Y ), eqangle( Z, X, X, Y, X
% 2.86/3.26 , Y, Z, Y ) }.
% 2.86/3.26 (52) {G0,W14,D2,L3,V4,M3} I { ! perp( X, Y, Y, T ), ! midp( Z, X, T ), cong
% 2.86/3.26 ( X, Z, Y, Z ) }.
% 2.86/3.26 (56) {G0,W15,D2,L3,V4,M3} I { ! cong( X, Z, Y, Z ), ! cong( X, T, Y, T ),
% 2.86/3.26 perp( X, Y, Z, T ) }.
% 2.86/3.26 (57) {G0,W20,D2,L4,V4,M4} I { ! cong( X, Y, T, Y ), ! cong( X, Z, T, Z ), !
% 2.86/3.26 cyclic( X, T, Y, Z ), perp( Y, X, X, Z ) }.
% 2.86/3.26 (63) {G0,W13,D2,L3,V5,M3} I { ! midp( U, X, Y ), ! midp( U, Z, T ), para( X
% 2.86/3.26 , Z, Y, T ) }.
% 2.86/3.26 (64) {G0,W18,D2,L4,V5,M4} I { ! midp( Z, T, U ), ! para( T, X, U, Y ), !
% 2.86/3.26 para( T, Y, U, X ), midp( Z, X, Y ) }.
% 2.86/3.26 (68) {G0,W9,D2,L2,V3,M2} I { ! midp( X, Y, Z ), cong( X, Y, X, Z ) }.
% 2.86/3.26 (69) {G0,W8,D2,L2,V3,M2} I { ! midp( X, Y, Z ), coll( X, Y, Z ) }.
% 2.86/3.26 (71) {G0,W19,D2,L3,V4,M3} I { ! eqangle( X, Y, Z, T, Z, T, X, Y ), para( X
% 2.86/3.26 , Y, Z, T ), perp( X, Y, Z, T ) }.
% 2.86/3.26 (73) {G0,W19,D2,L3,V8,M3} I { ! eqangle( X, Y, Z, T, U, W, V0, V1 ), ! perp
% 2.86/3.26 ( U, W, V0, V1 ), perp( X, Y, Z, T ) }.
% 2.86/3.26 (88) {G0,W22,D3,L5,V7,M5} I { ! midp( Z, X, Y ), ! midp( W, T, U ), ! coll
% 2.86/3.26 ( T, X, Y ), ! coll( U, X, Y ), midp( skol7( X, V0 ), X, V0 ) }.
% 2.86/3.26 (95) {G0,W18,D3,L3,V4,M3} I { ! perp( X, T, Y, Z ), ! perp( Y, T, X, Z ),
% 2.86/3.26 perp( X, skol10( X, Y, Z ), Z, Y ) }.
% 2.86/3.26 (98) {G0,W12,D3,L2,V3,M2} I { ! alpha1( X, Y, Z ), perp( Y, skol11( X, Y, Z
% 2.86/3.26 ), Z, X ) }.
% 2.86/3.26 (99) {G0,W13,D2,L3,V4,M3} I { ! coll( T, Z, X ), ! perp( Y, T, Z, X ),
% 2.86/3.26 alpha1( X, Y, Z ) }.
% 2.86/3.26 (100) {G0,W12,D3,L2,V4,M2} I { ! circle( Y, X, Z, T ), perp( skol12( X, Y )
% 2.86/3.26 , X, X, Y ) }.
% 2.86/3.26 (116) {G0,W4,D2,L1,V0,M1} I { midp( skol26, skol25, skol20 ) }.
% 2.86/3.26 (117) {G0,W5,D2,L1,V0,M1} I { circle( skol26, skol20, skol27, skol28 ) }.
% 2.86/3.26 (120) {G0,W5,D2,L1,V0,M1} I { circle( skol29, skol25, skol33, skol34 ) }.
% 2.86/3.26 (129) {G0,W5,D2,L1,V0,M1} I { ! perp( skol23, skol24, skol20, skol22 ) }.
% 2.86/3.26 (132) {G1,W10,D2,L2,V3,M2} F(11) { ! cong( X, Y, X, Z ), circle( X, Y, Z, Z
% 2.86/3.26 ) }.
% 2.86/3.26 (135) {G1,W15,D2,L3,V4,M3} F(12) { ! cong( X, Y, X, Z ), ! cong( X, Y, X, T
% 2.86/3.26 ), cyclic( Y, Z, T, T ) }.
% 2.86/3.26 (136) {G2,W10,D2,L2,V3,M2} F(135) { ! cong( X, Y, X, Z ), cyclic( Y, Z, Z,
% 2.86/3.26 Z ) }.
% 2.86/3.26 (137) {G1,W10,D2,L2,V4,M2} F(16) { ! cyclic( X, Y, Z, T ), cyclic( Y, Z, T
% 2.86/3.26 , T ) }.
% 2.86/3.26 (140) {G1,W24,D2,L4,V5,M4} F(43) { ! cyclic( X, Y, Z, T ), ! cyclic( X, Y,
% 2.86/3.26 Z, U ), ! eqangle( Z, X, Z, Y, U, T, U, U ), cong( X, Y, T, U ) }.
% 2.86/3.26 (142) {G1,W10,D2,L2,V3,M2} F(56) { ! cong( X, Y, Z, Y ), perp( X, Z, Y, Y )
% 2.86/3.26 }.
% 2.86/3.26 (143) {G1,W15,D2,L3,V3,M3} F(57) { ! cong( X, Y, Z, Y ), ! cyclic( X, Z, Y
% 2.86/3.26 , Y ), perp( Y, X, X, Y ) }.
% 2.86/3.26 (145) {G1,W9,D2,L2,V3,M2} F(63) { ! midp( X, Y, Z ), para( Y, Y, Z, Z ) }.
% 2.86/3.26 (146) {G1,W13,D2,L3,V4,M3} F(64) { ! midp( X, Y, Z ), ! para( Y, T, Z, T )
% 2.86/3.26 , midp( X, T, T ) }.
% 2.86/3.26 (152) {G1,W18,D3,L4,V4,M4} F(88) { ! midp( X, Y, Z ), ! coll( Y, Y, Z ), !
% 2.86/3.26 coll( Z, Y, Z ), midp( skol7( Y, T ), Y, T ) }.
% 2.86/3.26 (158) {G1,W13,D3,L2,V3,M2} F(95) { ! perp( X, Y, X, Z ), perp( X, skol10( X
% 2.86/3.26 , X, Z ), Z, X ) }.
% 2.86/3.26 (176) {G1,W8,D2,L2,V3,M2} R(1,0) { coll( X, Y, Z ), ! coll( Y, Z, X ) }.
% 2.86/3.26 (177) {G1,W8,D2,L2,V3,M2} R(1,0) { ! coll( X, Y, Z ), coll( Y, Z, X ) }.
% 2.86/3.26 (208) {G1,W12,D2,L3,V4,M3} R(2,0) { ! coll( X, Y, Z ), ! coll( X, Y, T ),
% 2.86/3.26 coll( Z, X, T ) }.
% 2.86/3.26 (219) {G2,W8,D2,L2,V3,M2} F(208) { ! coll( X, Y, Z ), coll( Z, X, Z ) }.
% 2.86/3.26 (244) {G1,W10,D2,L2,V4,M2} R(4,3) { ! para( X, Y, Z, T ), para( Z, T, Y, X
% 2.86/3.26 ) }.
% 2.86/3.26 (255) {G1,W15,D2,L3,V6,M3} R(5,4) { ! para( X, Y, Z, T ), para( X, Y, U, W
% 2.86/3.26 ), ! para( U, W, Z, T ) }.
% 2.86/3.26 (259) {G2,W10,D2,L2,V4,M2} F(255) { ! para( X, Y, Z, T ), para( X, Y, X, Y
% 2.86/3.26 ) }.
% 2.86/3.26 (284) {G1,W10,D2,L2,V4,M2} R(7,6) { perp( X, Y, Z, T ), ! perp( Z, T, Y, X
% 2.86/3.26 ) }.
% 2.86/3.26 (285) {G1,W10,D2,L2,V4,M2} R(7,6) { ! perp( X, Y, Z, T ), perp( Z, T, Y, X
% 2.86/3.26 ) }.
% 2.86/3.26 (294) {G1,W15,D2,L3,V6,M3} R(8,7) { ! perp( X, Y, Z, T ), para( X, Y, U, W
% 2.86/3.26 ), ! perp( U, W, Z, T ) }.
% 2.86/3.26 (295) {G1,W15,D2,L3,V6,M3} R(8,6) { ! perp( X, Y, Z, T ), para( U, W, Z, T
% 2.86/3.26 ), ! perp( U, W, Y, X ) }.
% 2.86/3.26 (299) {G1,W15,D2,L3,V6,M3} R(8,4) { ! perp( X, Y, Z, T ), ! perp( Z, T, U,
% 2.86/3.26 W ), para( U, W, X, Y ) }.
% 2.86/3.26 (302) {G2,W10,D2,L2,V4,M2} F(294) { ! perp( X, Y, Z, T ), para( X, Y, X, Y
% 2.86/3.26 ) }.
% 2.86/3.26 (304) {G1,W5,D2,L1,V0,M1} R(129,7) { ! perp( skol20, skol22, skol23, skol24
% 2.86/3.26 ) }.
% 2.86/3.26 (306) {G2,W5,D2,L1,V0,M1} R(304,6) { ! perp( skol20, skol22, skol24, skol23
% 2.86/3.26 ) }.
% 2.86/3.26 (307) {G3,W5,D2,L1,V0,M1} R(306,7) { ! perp( skol24, skol23, skol20, skol22
% 2.86/3.26 ) }.
% 2.86/3.26 (310) {G4,W10,D2,L2,V2,M2} R(9,307) { ! para( skol24, skol23, X, Y ), !
% 2.86/3.26 perp( X, Y, skol20, skol22 ) }.
% 2.86/3.26 (320) {G1,W15,D2,L3,V6,M3} R(9,3) { ! perp( X, Y, Z, T ), perp( U, W, Z, T
% 2.86/3.26 ), ! para( U, W, Y, X ) }.
% 2.86/3.26 (327) {G1,W4,D2,L1,V0,M1} R(10,116) { midp( skol26, skol20, skol25 ) }.
% 2.86/3.26 (350) {G3,W12,D2,L3,V4,M3} R(219,2) { coll( X, Y, X ), ! coll( X, Z, Y ), !
% 2.86/3.26 coll( X, Z, T ) }.
% 2.86/3.26 (354) {G3,W8,D2,L2,V3,M2} R(219,1) { coll( X, Y, X ), ! coll( Z, Y, X ) }.
% 2.86/3.26 (366) {G4,W8,D2,L2,V3,M2} F(350) { coll( X, Y, X ), ! coll( X, Z, Y ) }.
% 2.86/3.26 (447) {G1,W18,D2,L2,V8,M2} R(19,18) { eqangle( X, Y, Z, T, U, W, V0, V1 ),
% 2.86/3.26 ! eqangle( V0, V1, U, W, Z, T, X, Y ) }.
% 2.86/3.26 (448) {G1,W18,D2,L2,V8,M2} R(19,17) { eqangle( X, Y, Z, T, U, W, V0, V1 ),
% 2.86/3.26 ! eqangle( W, U, V0, V1, X, Y, Z, T ) }.
% 2.86/3.26 (449) {G1,W18,D2,L2,V8,M2} R(19,17) { ! eqangle( X, Y, Z, T, U, W, V0, V1 )
% 2.86/3.26 , eqangle( W, U, V0, V1, X, Y, Z, T ) }.
% 2.86/3.26 (459) {G1,W18,D2,L2,V8,M2} R(20,17) { eqangle( X, Y, Z, T, U, W, V0, V1 ),
% 2.86/3.26 ! eqangle( Y, X, U, W, Z, T, V0, V1 ) }.
% 2.86/3.26 (523) {G1,W15,D2,L3,V6,M3} R(24,23) { ! cong( X, Y, Z, T ), cong( X, Y, U,
% 2.86/3.26 W ), ! cong( U, W, Z, T ) }.
% 2.86/3.26 (534) {G2,W10,D2,L2,V4,M2} F(523) { ! cong( X, Y, Z, T ), cong( X, Y, X, Y
% 2.86/3.26 ) }.
% 2.86/3.26 (719) {G5,W8,D2,L2,V3,M2} R(366,1) { ! coll( X, Y, Z ), coll( Z, X, X ) }.
% 2.86/3.26 (735) {G6,W8,D2,L2,V3,M2} R(719,1) { coll( X, Y, Y ), ! coll( Z, Y, X ) }.
% 2.86/3.26 (736) {G6,W8,D2,L2,V3,M2} R(719,0) { coll( X, Y, Y ), ! coll( Y, X, Z ) }.
% 2.86/3.26 (737) {G7,W8,D2,L2,V3,M2} R(735,719) { ! coll( X, Y, Z ), coll( Y, Z, Z )
% 2.86/3.26 }.
% 2.86/3.26 (740) {G7,W8,D2,L2,V3,M2} R(736,736) { ! coll( X, Y, Z ), coll( X, Y, Y )
% 2.86/3.26 }.
% 2.86/3.26 (754) {G8,W12,D2,L3,V4,M3} R(740,2) { ! coll( X, Y, Z ), ! coll( X, Y, T )
% 2.86/3.26 , coll( T, Y, X ) }.
% 2.86/3.26 (755) {G9,W8,D2,L2,V3,M2} F(754) { ! coll( X, Y, Z ), coll( Z, Y, X ) }.
% 2.86/3.26 (758) {G10,W8,D2,L2,V3,M2} R(755,737) { coll( X, X, Y ), ! coll( Z, Y, X )
% 2.86/3.26 }.
% 2.86/3.26 (759) {G10,W8,D2,L2,V3,M2} R(755,735) { coll( X, X, Y ), ! coll( Z, X, Y )
% 2.86/3.26 }.
% 2.86/3.26 (991) {G2,W8,D2,L2,V3,M2} R(69,176) { ! midp( X, Y, Z ), coll( Z, X, Y )
% 2.86/3.26 }.
% 2.86/3.26 (999) {G11,W8,D2,L2,V3,M2} R(69,759) { ! midp( X, Y, Z ), coll( Y, Y, Z )
% 2.86/3.26 }.
% 2.86/3.26 (1014) {G2,W4,D2,L1,V0,M1} R(69,327) { coll( skol26, skol20, skol25 ) }.
% 2.86/3.26 (1016) {G1,W4,D2,L1,V0,M1} R(69,116) { coll( skol26, skol25, skol20 ) }.
% 2.86/3.26 (1019) {G1,W8,D2,L2,V3,M2} R(69,1) { ! midp( X, Y, Z ), coll( Y, X, Z ) }.
% 2.86/3.26 (1024) {G4,W4,D2,L1,V0,M1} R(1014,354) { coll( skol25, skol20, skol25 ) }.
% 2.86/3.26 (1030) {G11,W4,D2,L1,V0,M1} R(1014,758) { coll( skol25, skol25, skol20 )
% 2.86/3.26 }.
% 2.86/3.26 (1360) {G2,W8,D2,L2,V1,M2} R(1016,2) { ! coll( skol26, skol25, X ), coll(
% 2.86/3.26 skol20, X, skol26 ) }.
% 2.86/3.26 (1771) {G3,W8,D2,L2,V1,M2} R(1360,177) { coll( skol20, X, skol26 ), ! coll
% 2.86/3.26 ( X, skol26, skol25 ) }.
% 2.86/3.26 (2543) {G2,W5,D2,L1,V0,M1} R(68,327) { cong( skol26, skol20, skol26, skol25
% 2.86/3.26 ) }.
% 2.86/3.26 (2544) {G1,W5,D2,L1,V0,M1} R(68,116) { cong( skol26, skol25, skol26, skol20
% 2.86/3.26 ) }.
% 2.86/3.26 (2553) {G3,W5,D2,L1,V0,M1} R(2543,22) { cong( skol26, skol20, skol25,
% 2.86/3.26 skol26 ) }.
% 2.86/3.26 (3037) {G4,W8,D2,L2,V1,M2} R(1771,177) { ! coll( X, skol26, skol25 ), coll
% 2.86/3.26 ( X, skol26, skol20 ) }.
% 2.86/3.26 (3057) {G5,W12,D2,L3,V2,M3} R(3037,2) { ! coll( X, skol26, skol25 ), ! coll
% 2.86/3.26 ( X, skol26, Y ), coll( skol20, Y, X ) }.
% 2.86/3.26 (3062) {G6,W8,D2,L2,V1,M2} F(3057) { ! coll( X, skol26, skol25 ), coll(
% 2.86/3.26 skol20, skol25, X ) }.
% 2.86/3.26 (3772) {G7,W8,D2,L2,V1,M2} R(3062,1019) { coll( skol20, skol25, X ), ! midp
% 2.86/3.26 ( skol26, X, skol25 ) }.
% 2.86/3.26 (3776) {G7,W8,D2,L2,V1,M2} R(3062,991) { coll( skol20, skol25, X ), ! midp
% 2.86/3.26 ( skol26, skol25, X ) }.
% 2.86/3.26 (3799) {G8,W8,D2,L2,V1,M2} R(3772,0) { ! midp( skol26, X, skol25 ), coll(
% 2.86/3.26 skol20, X, skol25 ) }.
% 2.86/3.26 (4793) {G1,W7,D3,L1,V0,M1} R(100,117) { perp( skol12( skol20, skol26 ),
% 2.86/3.26 skol20, skol20, skol26 ) }.
% 2.86/3.26 (4795) {G1,W7,D3,L1,V0,M1} R(100,120) { perp( skol12( skol25, skol29 ),
% 2.86/3.26 skol25, skol25, skol29 ) }.
% 2.86/3.26 (4813) {G2,W7,D3,L1,V0,M1} R(4793,7) { perp( skol20, skol26, skol12( skol20
% 2.86/3.26 , skol26 ), skol20 ) }.
% 2.86/3.26 (5451) {G3,W7,D3,L1,V0,M1} R(4813,6) { perp( skol20, skol26, skol20, skol12
% 2.86/3.26 ( skol20, skol26 ) ) }.
% 2.86/3.26 (7302) {G2,W7,D3,L1,V0,M1} R(4795,7) { perp( skol25, skol29, skol12( skol25
% 2.86/3.26 , skol29 ), skol25 ) }.
% 2.86/3.26 (7313) {G3,W7,D3,L1,V0,M1} R(7302,6) { perp( skol25, skol29, skol25, skol12
% 2.86/3.26 ( skol25, skol29 ) ) }.
% 2.86/3.26 (7323) {G4,W7,D3,L1,V0,M1} R(7313,7) { perp( skol25, skol12( skol25, skol29
% 2.86/3.26 ), skol25, skol29 ) }.
% 2.86/3.26 (7325) {G2,W5,D2,L1,V0,M1} R(132,2544) { circle( skol26, skol25, skol20,
% 2.86/3.26 skol20 ) }.
% 2.86/3.26 (7334) {G3,W7,D3,L1,V0,M1} R(7325,100) { perp( skol12( skol25, skol26 ),
% 2.86/3.26 skol25, skol25, skol26 ) }.
% 2.86/3.26 (7481) {G3,W5,D2,L1,V0,M1} R(136,2544) { cyclic( skol25, skol20, skol20,
% 2.86/3.26 skol20 ) }.
% 2.86/3.26 (7514) {G4,W5,D2,L1,V0,M1} R(137,7481) { cyclic( skol20, skol20, skol20,
% 2.86/3.26 skol20 ) }.
% 2.86/3.26 (8171) {G12,W14,D3,L3,V2,M3} R(152,3776);r(1030) { ! midp( X, skol25,
% 2.86/3.26 skol20 ), midp( skol7( skol25, Y ), skol25, Y ), ! midp( skol26, skol25,
% 2.86/3.26 skol20 ) }.
% 2.86/3.26 (8183) {G9,W14,D3,L3,V2,M3} R(152,3799);r(1024) { ! midp( X, skol20, skol25
% 2.86/3.26 ), midp( skol7( skol20, Y ), skol20, Y ), ! midp( skol26, skol20, skol25
% 2.86/3.26 ) }.
% 2.86/3.26 (8298) {G10,W6,D3,L1,V1,M1} F(8183);r(327) { midp( skol7( skol20, X ),
% 2.86/3.26 skol20, X ) }.
% 2.86/3.26 (8299) {G13,W6,D3,L1,V1,M1} F(8171);r(116) { midp( skol7( skol25, X ),
% 2.86/3.26 skol25, X ) }.
% 2.86/3.26 (8343) {G14,W4,D2,L1,V1,M1} R(8299,999) { coll( skol25, skol25, X ) }.
% 2.86/3.26 (8406) {G15,W4,D2,L1,V2,M1} R(8343,2);r(8343) { coll( Y, X, skol25 ) }.
% 2.86/3.26 (8427) {G16,W4,D2,L1,V2,M1} R(8406,177) { coll( X, skol25, Y ) }.
% 2.86/3.26 (8441) {G17,W4,D2,L1,V3,M1} R(8427,2);r(8427) { coll( Z, Y, X ) }.
% 2.86/3.26 (8447) {G18,W9,D2,L2,V4,M2} S(99);r(8441) { ! perp( Y, T, Z, X ), alpha1( X
% 2.86/3.26 , Y, Z ) }.
% 2.86/3.26 (8492) {G11,W5,D2,L1,V1,M1} R(8298,145) { para( skol20, skol20, X, X ) }.
% 2.86/3.26 (8503) {G11,W6,D3,L1,V1,M1} R(8298,10) { midp( skol7( skol20, X ), X,
% 2.86/3.26 skol20 ) }.
% 2.86/3.26 (8510) {G12,W5,D2,L1,V1,M1} R(8492,4) { para( X, X, skol20, skol20 ) }.
% 2.86/3.26 (8513) {G13,W9,D2,L1,V3,M1} R(8510,39) { eqangle( X, X, Y, Z, skol20,
% 2.86/3.26 skol20, Y, Z ) }.
% 2.86/3.26 (8537) {G4,W7,D3,L1,V0,M1} R(7334,7) { perp( skol25, skol26, skol12( skol25
% 2.86/3.26 , skol26 ), skol25 ) }.
% 2.86/3.26 (8544) {G5,W7,D3,L1,V0,M1} R(8537,6) { perp( skol25, skol26, skol25, skol12
% 2.86/3.26 ( skol25, skol26 ) ) }.
% 2.86/3.26 (8551) {G6,W7,D3,L1,V0,M1} R(8544,7) { perp( skol25, skol12( skol25, skol26
% 2.86/3.26 ), skol25, skol26 ) }.
% 2.86/3.26 (8554) {G7,W8,D3,L1,V0,M1} R(8551,158) { perp( skol25, skol10( skol25,
% 2.86/3.26 skol25, skol26 ), skol26, skol25 ) }.
% 2.86/3.26 (8593) {G5,W8,D3,L1,V0,M1} R(7323,158) { perp( skol25, skol10( skol25,
% 2.86/3.26 skol25, skol29 ), skol29, skol25 ) }.
% 2.86/3.26 (8758) {G6,W8,D3,L1,V0,M1} R(8593,7) { perp( skol29, skol25, skol25, skol10
% 2.86/3.26 ( skol25, skol25, skol29 ) ) }.
% 2.86/3.26 (8773) {G7,W8,D3,L1,V0,M1} R(8758,6) { perp( skol29, skol25, skol10( skol25
% 2.86/3.26 , skol25, skol29 ), skol25 ) }.
% 2.86/3.26 (8778) {G8,W8,D3,L1,V0,M1} R(8773,7) { perp( skol10( skol25, skol25, skol29
% 2.86/3.26 ), skol25, skol29, skol25 ) }.
% 2.86/3.26 (8787) {G9,W8,D3,L1,V0,M1} R(8778,6) { perp( skol10( skol25, skol25, skol29
% 2.86/3.26 ), skol25, skol25, skol29 ) }.
% 2.86/3.26 (8807) {G10,W8,D3,L1,V0,M1} R(8787,7) { perp( skol25, skol29, skol10(
% 2.86/3.26 skol25, skol25, skol29 ), skol25 ) }.
% 2.86/3.26 (8813) {G11,W8,D3,L1,V0,M1} R(8807,6) { perp( skol25, skol29, skol25,
% 2.86/3.26 skol10( skol25, skol25, skol29 ) ) }.
% 2.86/3.26 (8820) {G13,W5,D2,L1,V1,M1} R(259,8510) { para( X, X, X, X ) }.
% 2.86/3.26 (8827) {G14,W9,D2,L1,V3,M1} R(8820,39) { eqangle( X, X, Y, Z, X, X, Y, Z )
% 2.86/3.26 }.
% 2.86/3.26 (8938) {G8,W8,D3,L1,V0,M1} R(8554,7) { perp( skol26, skol25, skol25, skol10
% 2.86/3.26 ( skol25, skol25, skol26 ) ) }.
% 2.86/3.26 (9495) {G9,W5,D2,L1,V0,M1} R(302,8938) { para( skol26, skol25, skol26,
% 2.86/3.26 skol25 ) }.
% 2.86/3.26 (9501) {G12,W5,D2,L1,V0,M1} R(302,8813) { para( skol25, skol29, skol25,
% 2.86/3.26 skol29 ) }.
% 2.86/3.26 (9515) {G4,W5,D2,L1,V0,M1} R(302,5451) { para( skol20, skol26, skol20,
% 2.86/3.26 skol26 ) }.
% 2.86/3.26 (9545) {G10,W8,D2,L2,V1,M2} R(9495,146) { ! midp( X, skol26, skol26 ), midp
% 2.86/3.26 ( X, skol25, skol25 ) }.
% 2.86/3.26 (9591) {G13,W8,D2,L2,V1,M2} R(9501,146) { ! midp( X, skol25, skol25 ), midp
% 2.86/3.26 ( X, skol29, skol29 ) }.
% 2.86/3.26 (9644) {G5,W8,D2,L2,V1,M2} R(9515,146) { ! midp( X, skol20, skol20 ), midp
% 2.86/3.26 ( X, skol26, skol26 ) }.
% 2.86/3.26 (9671) {G12,W6,D3,L1,V0,M1} R(9644,8503) { midp( skol7( skol20, skol20 ),
% 2.86/3.26 skol26, skol26 ) }.
% 2.86/3.26 (9865) {G13,W6,D3,L1,V0,M1} R(9545,9671) { midp( skol7( skol20, skol20 ),
% 2.86/3.26 skol25, skol25 ) }.
% 2.86/3.26 (9917) {G14,W6,D3,L1,V0,M1} R(9865,9591) { midp( skol7( skol20, skol20 ),
% 2.86/3.26 skol29, skol29 ) }.
% 2.86/3.26 (12116) {G15,W9,D2,L1,V3,M1} R(8827,447) { eqangle( X, Y, Z, Z, X, Y, Z, Z
% 2.86/3.26 ) }.
% 2.86/3.26 (12121) {G16,W5,D2,L1,V2,M1} R(12116,38) { para( X, Y, X, Y ) }.
% 2.86/3.26 (12124) {G17,W8,D2,L2,V3,M2} R(12121,146) { ! midp( X, Y, Y ), midp( X, Z,
% 2.86/3.26 Z ) }.
% 2.86/3.26 (12133) {G18,W6,D3,L1,V1,M1} R(12124,9917) { midp( skol7( skol20, skol20 )
% 2.86/3.26 , X, X ) }.
% 2.86/3.26 (12195) {G14,W5,D2,L1,V0,M1} R(8513,140);f;r(7514) { cong( skol20, skol20,
% 2.86/3.26 skol20, skol20 ) }.
% 2.86/3.26 (12204) {G15,W5,D2,L1,V0,M1} R(12195,143);r(7514) { perp( skol20, skol20,
% 2.86/3.26 skol20, skol20 ) }.
% 2.86/3.26 (12222) {G16,W10,D2,L2,V2,M2} R(12204,320) { perp( X, Y, skol20, skol20 ),
% 2.86/3.26 ! para( X, Y, skol20, skol20 ) }.
% 2.86/3.26 (12239) {G16,W10,D2,L2,V2,M2} R(12204,295) { ! perp( skol20, skol20, X, Y )
% 2.86/3.26 , para( skol20, skol20, X, Y ) }.
% 2.86/3.26 (13317) {G4,W5,D2,L1,V0,M1} R(534,2553) { cong( skol26, skol20, skol26,
% 2.86/3.26 skol20 ) }.
% 2.86/3.26 (13601) {G5,W9,D2,L1,V0,M1} R(13317,46) { eqangle( skol26, skol20, skol20,
% 2.86/3.26 skol20, skol20, skol20, skol26, skol20 ) }.
% 2.86/3.26 (14228) {G6,W9,D2,L1,V0,M1} R(13601,459) { eqangle( skol20, skol26, skol20
% 2.86/3.26 , skol20, skol20, skol20, skol26, skol20 ) }.
% 2.86/3.26 (14232) {G17,W5,D2,L1,V0,M1} R(13601,71);r(12222) { perp( skol26, skol20,
% 2.86/3.26 skol20, skol20 ) }.
% 2.86/3.26 (14259) {G18,W5,D2,L1,V0,M1} R(14232,284) { perp( skol20, skol20, skol26,
% 2.86/3.26 skol20 ) }.
% 2.86/3.26 (14607) {G7,W9,D2,L1,V0,M1} R(14228,447) { eqangle( skol26, skol20, skol20
% 2.86/3.26 , skol20, skol20, skol20, skol20, skol26 ) }.
% 2.86/3.26 (14609) {G8,W9,D2,L1,V0,M1} R(14607,448) { eqangle( skol20, skol20, skol20
% 2.86/3.26 , skol26, skol20, skol26, skol20, skol20 ) }.
% 2.86/3.26 (14610) {G17,W5,D2,L1,V0,M1} R(14609,71);r(12239) { para( skol20, skol20,
% 2.86/3.26 skol20, skol26 ) }.
% 2.86/3.26 (14634) {G18,W5,D2,L1,V0,M1} R(14610,244) { para( skol20, skol26, skol20,
% 2.86/3.26 skol20 ) }.
% 2.86/3.26 (14637) {G19,W8,D2,L2,V1,M2} R(14610,64);r(14634) { ! midp( X, skol20,
% 2.86/3.26 skol20 ), midp( X, skol20, skol26 ) }.
% 2.86/3.26 (14643) {G18,W5,D2,L1,V0,M1} R(14610,3) { para( skol20, skol20, skol26,
% 2.86/3.26 skol20 ) }.
% 2.86/3.26 (14695) {G19,W8,D2,L2,V1,M2} R(14643,64);r(14643) { ! midp( X, skol20,
% 2.86/3.26 skol26 ), midp( X, skol20, skol20 ) }.
% 2.86/3.26 (14697) {G19,W9,D2,L1,V2,M1} R(14643,39) { eqangle( skol20, skol20, X, Y,
% 2.86/3.26 skol26, skol20, X, Y ) }.
% 2.86/3.26 (14698) {G20,W8,D2,L2,V2,M2} R(14695,12124) { ! midp( X, skol20, skol26 ),
% 2.86/3.26 midp( X, Y, Y ) }.
% 2.86/3.26 (14746) {G21,W8,D2,L2,V2,M2} R(14698,10) { midp( X, Y, Y ), ! midp( X,
% 2.86/3.26 skol26, skol20 ) }.
% 2.86/3.26 (14765) {G20,W6,D3,L1,V0,M1} R(14637,12133) { midp( skol7( skol20, skol20 )
% 2.86/3.26 , skol20, skol26 ) }.
% 2.86/3.26 (14816) {G21,W6,D3,L1,V0,M1} R(14765,10) { midp( skol7( skol20, skol20 ),
% 2.86/3.26 skol26, skol20 ) }.
% 2.86/3.26 (14856) {G20,W9,D2,L1,V2,M1} R(14697,459) { eqangle( skol20, skol20, skol26
% 2.86/3.26 , skol20, X, Y, X, Y ) }.
% 2.86/3.26 (14862) {G21,W9,D2,L1,V2,M1} R(14856,449) { eqangle( X, Y, Y, X, skol20,
% 2.86/3.26 skol20, skol26, skol20 ) }.
% 2.86/3.26 (14872) {G22,W5,D2,L1,V2,M1} R(14862,73);r(14259) { perp( X, Y, Y, X ) }.
% 2.86/3.26 (14902) {G23,W5,D2,L1,V2,M1} R(14872,285) { perp( X, Y, X, Y ) }.
% 2.86/3.26 (14917) {G23,W9,D2,L2,V3,M2} R(14872,52) { ! midp( X, Y, Y ), cong( Y, X, Z
% 2.86/3.26 , X ) }.
% 2.86/3.26 (14927) {G24,W8,D3,L1,V2,M1} R(14902,158) { perp( X, skol10( X, X, Y ), Y,
% 2.86/3.26 X ) }.
% 2.86/3.26 (15367) {G25,W8,D3,L1,V2,M1} R(14927,6) { perp( X, skol10( X, X, Y ), X, Y
% 2.86/3.26 ) }.
% 2.86/3.26 (18894) {G26,W4,D2,L1,V2,M1} R(8447,15367) { alpha1( X, Y, Y ) }.
% 2.86/3.26 (18970) {G27,W8,D3,L1,V2,M1} R(18894,98) { perp( X, skol11( Y, X, X ), X, Y
% 2.86/3.26 ) }.
% 2.86/3.26 (19054) {G28,W8,D3,L1,V0,M1} R(18970,310) { ! para( skol24, skol23, skol20
% 2.86/3.26 , skol11( skol22, skol20, skol20 ) ) }.
% 2.86/3.26 (19763) {G24,W9,D2,L2,V4,M2} R(14917,12124) { cong( X, Y, Z, Y ), ! midp( Y
% 2.86/3.26 , T, T ) }.
% 2.86/3.26 (19801) {G25,W9,D2,L2,V4,M2} R(19763,142) { ! midp( X, Y, Y ), perp( Z, T,
% 2.86/3.26 X, X ) }.
% 2.86/3.26 (19874) {G26,W9,D2,L2,V3,M2} R(19801,14746) { perp( X, Y, Z, Z ), ! midp( Z
% 2.86/3.26 , skol26, skol20 ) }.
% 2.86/3.26 (19890) {G26,W9,D2,L2,V4,M2} R(19801,285) { ! midp( X, Y, Y ), perp( X, X,
% 2.86/3.26 Z, T ) }.
% 2.86/3.26 (19893) {G27,W9,D2,L2,V3,M2} R(19890,14746) { perp( X, X, Y, Z ), ! midp( X
% 2.86/3.26 , skol26, skol20 ) }.
% 2.86/3.26 (19917) {G28,W9,D2,L2,V5,M2} R(19893,299);r(19874) { ! midp( X, skol26,
% 2.86/3.26 skol20 ), para( T, U, Y, Z ) }.
% 2.86/3.26 (19920) {G29,W4,D2,L1,V1,M1} R(19917,19054) { ! midp( X, skol26, skol20 )
% 2.86/3.26 }.
% 2.86/3.26 (19924) {G30,W0,D0,L0,V0,M0} R(19920,14816) { }.
% 2.86/3.26
% 2.86/3.26
% 2.86/3.26 % SZS output end Refutation
% 2.86/3.26 found a proof!
% 2.86/3.26
% 2.86/3.26
% 2.86/3.26 Unprocessed initial clauses:
% 2.86/3.26
% 2.86/3.26 (19926) {G0,W8,D2,L2,V3,M2} { ! coll( X, Y, Z ), coll( X, Z, Y ) }.
% 2.86/3.26 (19927) {G0,W8,D2,L2,V3,M2} { ! coll( X, Y, Z ), coll( Y, X, Z ) }.
% 2.86/3.26 (19928) {G0,W12,D2,L3,V4,M3} { ! coll( X, T, Y ), ! coll( X, T, Z ), coll
% 2.86/3.26 ( Y, Z, X ) }.
% 2.86/3.26 (19929) {G0,W10,D2,L2,V4,M2} { ! para( X, Y, Z, T ), para( X, Y, T, Z )
% 2.86/3.26 }.
% 2.86/3.26 (19930) {G0,W10,D2,L2,V4,M2} { ! para( X, Y, Z, T ), para( Z, T, X, Y )
% 2.86/3.26 }.
% 2.86/3.26 (19931) {G0,W15,D2,L3,V6,M3} { ! para( X, Y, U, W ), ! para( U, W, Z, T )
% 2.86/3.26 , para( X, Y, Z, T ) }.
% 2.86/3.26 (19932) {G0,W10,D2,L2,V4,M2} { ! perp( X, Y, Z, T ), perp( X, Y, T, Z )
% 2.86/3.26 }.
% 2.86/3.26 (19933) {G0,W10,D2,L2,V4,M2} { ! perp( X, Y, Z, T ), perp( Z, T, X, Y )
% 2.86/3.26 }.
% 2.86/3.26 (19934) {G0,W15,D2,L3,V6,M3} { ! perp( X, Y, U, W ), ! perp( U, W, Z, T )
% 2.86/3.26 , para( X, Y, Z, T ) }.
% 2.86/3.26 (19935) {G0,W15,D2,L3,V6,M3} { ! para( X, Y, U, W ), ! perp( U, W, Z, T )
% 2.86/3.26 , perp( X, Y, Z, T ) }.
% 2.86/3.26 (19936) {G0,W8,D2,L2,V3,M2} { ! midp( Z, Y, X ), midp( Z, X, Y ) }.
% 2.86/3.26 (19937) {G0,W15,D2,L3,V4,M3} { ! cong( T, X, T, Y ), ! cong( T, X, T, Z )
% 2.86/3.26 , circle( T, X, Y, Z ) }.
% 2.86/3.26 (19938) {G0,W20,D2,L4,V5,M4} { ! cong( U, X, U, Y ), ! cong( U, X, U, Z )
% 2.86/3.26 , ! cong( U, X, U, T ), cyclic( X, Y, Z, T ) }.
% 2.86/3.26 (19939) {G0,W10,D2,L2,V4,M2} { ! cyclic( X, Y, Z, T ), cyclic( X, Y, T, Z
% 2.86/3.26 ) }.
% 2.86/3.26 (19940) {G0,W10,D2,L2,V4,M2} { ! cyclic( X, Y, Z, T ), cyclic( X, Z, Y, T
% 2.86/3.26 ) }.
% 2.86/3.26 (19941) {G0,W10,D2,L2,V4,M2} { ! cyclic( X, Y, Z, T ), cyclic( Y, X, Z, T
% 2.86/3.26 ) }.
% 2.86/3.26 (19942) {G0,W15,D2,L3,V5,M3} { ! cyclic( U, X, Y, Z ), ! cyclic( U, X, Y,
% 2.86/3.26 T ), cyclic( X, Y, Z, T ) }.
% 2.86/3.26 (19943) {G0,W18,D2,L2,V8,M2} { ! eqangle( X, Y, Z, T, U, W, V0, V1 ),
% 2.86/3.26 eqangle( Y, X, Z, T, U, W, V0, V1 ) }.
% 2.86/3.26 (19944) {G0,W18,D2,L2,V8,M2} { ! eqangle( X, Y, Z, T, U, W, V0, V1 ),
% 2.86/3.26 eqangle( Z, T, X, Y, V0, V1, U, W ) }.
% 2.86/3.26 (19945) {G0,W18,D2,L2,V8,M2} { ! eqangle( X, Y, Z, T, U, W, V0, V1 ),
% 2.86/3.26 eqangle( U, W, V0, V1, X, Y, Z, T ) }.
% 2.86/3.26 (19946) {G0,W18,D2,L2,V8,M2} { ! eqangle( X, Y, Z, T, U, W, V0, V1 ),
% 2.86/3.26 eqangle( X, Y, U, W, Z, T, V0, V1 ) }.
% 2.86/3.26 (19947) {G0,W27,D2,L3,V12,M3} { ! eqangle( X, Y, Z, T, V2, V3, V4, V5 ), !
% 2.86/3.26 eqangle( V2, V3, V4, V5, U, W, V0, V1 ), eqangle( X, Y, Z, T, U, W, V0,
% 2.86/3.26 V1 ) }.
% 2.86/3.26 (19948) {G0,W10,D2,L2,V4,M2} { ! cong( X, Y, Z, T ), cong( X, Y, T, Z )
% 2.86/3.26 }.
% 2.86/3.26 (19949) {G0,W10,D2,L2,V4,M2} { ! cong( X, Y, Z, T ), cong( Z, T, X, Y )
% 2.86/3.26 }.
% 2.86/3.26 (19950) {G0,W15,D2,L3,V6,M3} { ! cong( X, Y, U, W ), ! cong( U, W, Z, T )
% 2.86/3.26 , cong( X, Y, Z, T ) }.
% 2.86/3.26 (19951) {G0,W18,D2,L2,V8,M2} { ! eqratio( X, Y, Z, T, U, W, V0, V1 ),
% 2.86/3.26 eqratio( Y, X, Z, T, U, W, V0, V1 ) }.
% 2.86/3.26 (19952) {G0,W18,D2,L2,V8,M2} { ! eqratio( X, Y, Z, T, U, W, V0, V1 ),
% 2.86/3.26 eqratio( Z, T, X, Y, V0, V1, U, W ) }.
% 2.86/3.26 (19953) {G0,W18,D2,L2,V8,M2} { ! eqratio( X, Y, Z, T, U, W, V0, V1 ),
% 2.86/3.26 eqratio( U, W, V0, V1, X, Y, Z, T ) }.
% 2.86/3.26 (19954) {G0,W18,D2,L2,V8,M2} { ! eqratio( X, Y, Z, T, U, W, V0, V1 ),
% 2.86/3.26 eqratio( X, Y, U, W, Z, T, V0, V1 ) }.
% 2.86/3.26 (19955) {G0,W27,D2,L3,V12,M3} { ! eqratio( X, Y, Z, T, V2, V3, V4, V5 ), !
% 2.86/3.26 eqratio( V2, V3, V4, V5, U, W, V0, V1 ), eqratio( X, Y, Z, T, U, W, V0,
% 2.86/3.26 V1 ) }.
% 2.86/3.26 (19956) {G0,W14,D2,L2,V6,M2} { ! simtri( X, Z, Y, T, W, U ), simtri( X, Y
% 2.86/3.26 , Z, T, U, W ) }.
% 2.86/3.26 (19957) {G0,W14,D2,L2,V6,M2} { ! simtri( Y, X, Z, U, T, W ), simtri( X, Y
% 2.86/3.26 , Z, T, U, W ) }.
% 2.86/3.26 (19958) {G0,W14,D2,L2,V6,M2} { ! simtri( T, U, W, X, Y, Z ), simtri( X, Y
% 2.86/3.26 , Z, T, U, W ) }.
% 2.86/3.26 (19959) {G0,W21,D2,L3,V9,M3} { ! simtri( X, Y, Z, V0, V1, V2 ), ! simtri(
% 2.86/3.26 V0, V1, V2, T, U, W ), simtri( X, Y, Z, T, U, W ) }.
% 2.86/3.26 (19960) {G0,W14,D2,L2,V6,M2} { ! contri( X, Z, Y, T, W, U ), contri( X, Y
% 2.86/3.26 , Z, T, U, W ) }.
% 2.86/3.26 (19961) {G0,W14,D2,L2,V6,M2} { ! contri( Y, X, Z, U, T, W ), contri( X, Y
% 2.86/3.26 , Z, T, U, W ) }.
% 2.86/3.26 (19962) {G0,W14,D2,L2,V6,M2} { ! contri( T, U, W, X, Y, Z ), contri( X, Y
% 2.86/3.26 , Z, T, U, W ) }.
% 2.86/3.26 (19963) {G0,W21,D2,L3,V9,M3} { ! contri( X, Y, Z, V0, V1, V2 ), ! contri(
% 2.86/3.26 V0, V1, V2, T, U, W ), contri( X, Y, Z, T, U, W ) }.
% 2.86/3.26 (19964) {G0,W14,D2,L2,V6,M2} { ! eqangle( X, Y, U, W, Z, T, U, W ), para(
% 2.86/3.26 X, Y, Z, T ) }.
% 2.86/3.26 (19965) {G0,W14,D2,L2,V6,M2} { ! para( X, Y, Z, T ), eqangle( X, Y, U, W,
% 2.86/3.26 Z, T, U, W ) }.
% 2.86/3.26 (19966) {G0,W14,D2,L2,V4,M2} { ! cyclic( X, Y, Z, T ), eqangle( Z, X, Z, Y
% 2.86/3.26 , T, X, T, Y ) }.
% 2.86/3.26 (19967) {G0,W18,D2,L3,V4,M3} { ! eqangle( Z, X, Z, Y, T, X, T, Y ), coll(
% 2.86/3.26 Z, T, X ), cyclic( X, Y, Z, T ) }.
% 2.86/3.26 (19968) {G0,W18,D2,L3,V4,M3} { ! eqangle( Z, X, Z, Y, T, X, T, Y ), ! coll
% 2.86/3.26 ( Z, T, Y ), cyclic( X, Y, Z, T ) }.
% 2.86/3.26 (19969) {G0,W29,D2,L5,V6,M5} { ! cyclic( X, Y, U, Z ), ! cyclic( X, Y, U,
% 2.86/3.26 T ), ! cyclic( X, Y, U, W ), ! eqangle( U, X, U, Y, W, Z, W, T ), cong( X
% 2.86/3.26 , Y, Z, T ) }.
% 2.86/3.26 (19970) {G0,W13,D2,L3,V5,M3} { ! midp( Z, U, X ), ! midp( T, U, Y ), para
% 2.86/3.26 ( Z, T, X, Y ) }.
% 2.86/3.26 (19971) {G0,W17,D2,L4,V5,M4} { ! midp( U, X, T ), ! para( U, Z, T, Y ), !
% 2.86/3.26 coll( Z, X, Y ), midp( Z, X, Y ) }.
% 2.86/3.26 (19972) {G0,W14,D2,L2,V3,M2} { ! cong( Z, X, Z, Y ), eqangle( Z, X, X, Y,
% 2.86/3.26 X, Y, Z, Y ) }.
% 2.86/3.26 (19973) {G0,W18,D2,L3,V3,M3} { ! eqangle( Z, X, X, Y, X, Y, Z, Y ), coll(
% 2.86/3.26 Z, X, Y ), cong( Z, X, Z, Y ) }.
% 2.86/3.26 (19974) {G0,W19,D2,L3,V5,M3} { ! circle( U, X, Y, Z ), ! perp( U, X, X, T
% 2.86/3.26 ), eqangle( X, T, X, Y, Z, X, Z, Y ) }.
% 2.86/3.26 (19975) {G0,W19,D2,L3,V5,M3} { ! circle( Y, X, T, U ), ! eqangle( X, Z, X
% 2.86/3.26 , T, U, X, U, T ), perp( Y, X, X, Z ) }.
% 2.86/3.26 (19976) {G0,W18,D2,L3,V5,M3} { ! circle( T, X, Y, Z ), ! midp( U, Y, Z ),
% 2.86/3.26 eqangle( X, Y, X, Z, T, Y, T, U ) }.
% 2.86/3.26 (19977) {G0,W22,D2,L4,V5,M4} { ! circle( U, T, X, Y ), ! coll( Z, X, Y ),
% 2.86/3.26 ! eqangle( T, X, T, Y, U, X, U, Z ), midp( Z, X, Y ) }.
% 2.86/3.26 (19978) {G0,W14,D2,L3,V4,M3} { ! perp( X, Y, Y, T ), ! midp( Z, X, T ),
% 2.86/3.26 cong( X, Z, Y, Z ) }.
% 2.86/3.26 (19979) {G0,W14,D2,L3,V4,M3} { ! circle( T, X, Y, Z ), ! coll( T, X, Z ),
% 2.86/3.26 perp( X, Y, Y, Z ) }.
% 2.86/3.26 (19980) {G0,W19,D2,L3,V4,M3} { ! cyclic( X, Y, Z, T ), ! para( X, Y, Z, T
% 2.86/3.26 ), eqangle( X, T, Z, T, Z, T, Z, Y ) }.
% 2.86/3.26 (19981) {G0,W14,D2,L3,V4,M3} { ! midp( T, X, Y ), ! perp( Z, T, X, Y ),
% 2.86/3.26 cong( Z, X, Z, Y ) }.
% 2.86/3.26 (19982) {G0,W15,D2,L3,V4,M3} { ! cong( X, Z, Y, Z ), ! cong( X, T, Y, T )
% 2.86/3.26 , perp( X, Y, Z, T ) }.
% 2.86/3.26 (19983) {G0,W20,D2,L4,V4,M4} { ! cong( X, Y, T, Y ), ! cong( X, Z, T, Z )
% 2.86/3.26 , ! cyclic( X, T, Y, Z ), perp( Y, X, X, Z ) }.
% 2.86/3.26 (19984) {G0,W29,D2,L4,V6,M4} { ! eqangle( X, Y, Y, Z, T, U, U, W ), !
% 2.86/3.26 eqangle( X, Z, Y, Z, T, W, U, W ), coll( X, Y, Z ), simtri( X, Y, Z, T, U
% 2.86/3.26 , W ) }.
% 2.86/3.26 (19985) {G0,W16,D2,L2,V6,M2} { ! simtri( X, Y, Z, T, U, W ), eqratio( X, Y
% 2.86/3.26 , X, Z, T, U, T, W ) }.
% 2.86/3.26 (19986) {G0,W16,D2,L2,V6,M2} { ! simtri( X, Y, Z, T, U, W ), eqangle( X, Y
% 2.86/3.26 , Y, Z, T, U, U, W ) }.
% 2.86/3.26 (19987) {G0,W19,D2,L3,V6,M3} { ! simtri( X, Y, Z, T, U, W ), ! cong( X, Y
% 2.86/3.26 , T, U ), contri( X, Y, Z, T, U, W ) }.
% 2.86/3.26 (19988) {G0,W12,D2,L2,V6,M2} { ! contri( X, Y, U, Z, T, W ), cong( X, Y, Z
% 2.86/3.26 , T ) }.
% 2.86/3.26 (19989) {G0,W13,D2,L3,V5,M3} { ! midp( U, X, Y ), ! midp( U, Z, T ), para
% 2.86/3.26 ( X, Z, Y, T ) }.
% 2.86/3.26 (19990) {G0,W18,D2,L4,V5,M4} { ! midp( Z, T, U ), ! para( T, X, U, Y ), !
% 2.86/3.26 para( T, Y, U, X ), midp( Z, X, Y ) }.
% 2.86/3.26 (19991) {G0,W22,D2,L4,V5,M4} { ! para( X, Y, Z, T ), ! coll( U, X, Z ), !
% 2.86/3.26 coll( U, Y, T ), eqratio( U, X, X, Z, U, Y, Y, T ) }.
% 2.86/3.26 (19992) {G0,W9,D2,L2,V3,M2} { ! para( X, Y, X, Z ), coll( X, Y, Z ) }.
% 2.86/3.26 (19993) {G0,W13,D2,L3,V3,M3} { ! cong( X, Y, X, Z ), ! coll( X, Y, Z ),
% 2.86/3.26 midp( X, Y, Z ) }.
% 2.86/3.26 (19994) {G0,W9,D2,L2,V3,M2} { ! midp( X, Y, Z ), cong( X, Y, X, Z ) }.
% 2.86/3.26 (19995) {G0,W8,D2,L2,V3,M2} { ! midp( X, Y, Z ), coll( X, Y, Z ) }.
% 2.86/3.26 (19996) {G0,W17,D2,L3,V6,M3} { ! midp( U, X, Y ), ! midp( W, Z, T ),
% 2.86/3.26 eqratio( U, X, X, Y, W, Z, Z, T ) }.
% 2.86/3.26 (19997) {G0,W19,D2,L3,V4,M3} { ! eqangle( X, Y, Z, T, Z, T, X, Y ), para(
% 2.86/3.26 X, Y, Z, T ), perp( X, Y, Z, T ) }.
% 2.86/3.26 (19998) {G0,W19,D2,L3,V4,M3} { ! eqangle( X, Y, Z, T, Z, T, X, Y ), perp(
% 2.86/3.26 X, Y, Z, T ), para( X, Y, Z, T ) }.
% 2.86/3.26 (19999) {G0,W19,D2,L3,V8,M3} { ! eqangle( X, Y, Z, T, U, W, V0, V1 ), !
% 2.86/3.26 para( U, W, V0, V1 ), para( X, Y, Z, T ) }.
% 2.86/3.26 (20000) {G0,W19,D2,L3,V8,M3} { ! eqangle( X, Y, Z, T, U, W, V0, V1 ), !
% 2.86/3.26 perp( U, W, V0, V1 ), perp( X, Y, Z, T ) }.
% 2.86/3.26 (20001) {G0,W19,D2,L3,V8,M3} { ! eqratio( X, Y, Z, T, U, W, V0, V1 ), !
% 2.86/3.26 cong( U, W, V0, V1 ), cong( X, Y, Z, T ) }.
% 2.86/3.26 (20002) {G0,W22,D3,L3,V6,M3} { ! perp( Z, Y, Y, X ), ! eqangle( T, Z, Y, Z
% 2.86/3.26 , Y, Z, X, Z ), coll( skol1( U, W, Z, T ), Z, T ) }.
% 2.86/3.26 (20003) {G0,W22,D3,L3,V4,M3} { ! perp( Z, Y, Y, X ), ! eqangle( T, Z, Y, Z
% 2.86/3.26 , Y, Z, X, Z ), coll( skol1( X, Y, Z, T ), X, Y ) }.
% 2.86/3.26 (20004) {G0,W22,D3,L3,V6,M3} { ! cong( Z, X, Z, Y ), ! eqangle( X, Z, Z, T
% 2.86/3.26 , Z, T, Z, Y ), coll( skol2( U, W, Z, T ), Z, T ) }.
% 2.86/3.26 (20005) {G0,W22,D3,L3,V4,M3} { ! cong( Z, X, Z, Y ), ! eqangle( X, Z, Z, T
% 2.86/3.26 , Z, T, Z, Y ), coll( Y, X, skol2( X, Y, Z, T ) ) }.
% 2.86/3.26 (20006) {G0,W22,D3,L3,V6,M3} { ! perp( Z, T, X, Y ), ! eqangle( X, Z, Z, T
% 2.86/3.26 , Z, T, Z, Y ), coll( skol3( U, W, Z, T ), Z, T ) }.
% 2.86/3.26 (20007) {G0,W22,D3,L3,V4,M3} { ! perp( Z, T, X, Y ), ! eqangle( X, Z, Z, T
% 2.86/3.26 , Z, T, Z, Y ), coll( Y, X, skol3( X, Y, Z, T ) ) }.
% 2.86/3.26 (20008) {G0,W18,D3,L3,V6,M3} { ! perp( Z, T, X, Y ), ! cong( Z, X, Z, Y )
% 2.86/3.26 , coll( skol4( U, W, Z, T ), Z, T ) }.
% 2.86/3.26 (20009) {G0,W18,D3,L3,V4,M3} { ! perp( Z, T, X, Y ), ! cong( Z, X, Z, Y )
% 2.86/3.26 , coll( Y, X, skol4( X, Y, Z, T ) ) }.
% 2.86/3.26 (20010) {G0,W22,D3,L3,V6,M3} { ! eqangle( X, Z, Y, Z, X, T, Y, U ), coll(
% 2.86/3.26 X, Y, Z ), cyclic( T, Y, Z, skol5( W, Y, Z, T ) ) }.
% 2.86/3.26 (20011) {G0,W30,D3,L3,V5,M3} { ! eqangle( X, Z, Y, Z, X, T, Y, U ), coll(
% 2.86/3.26 X, Y, Z ), eqangle( X, Z, Y, Z, X, skol5( X, Y, Z, T ), Y, skol5( X, Y, Z
% 2.86/3.26 , T ) ) }.
% 2.86/3.26 (20012) {G0,W18,D3,L3,V10,M3} { ! midp( U, X, Y ), ! midp( W, Z, T ), midp
% 2.86/3.26 ( skol6( X, V0, V1, T, V2, V3 ), X, T ) }.
% 2.86/3.26 (20013) {G0,W19,D3,L3,V8,M3} { ! midp( U, X, Y ), ! midp( W, Z, T ), para
% 2.86/3.26 ( skol6( X, V0, Z, T, V1, W ), W, X, Z ) }.
% 2.86/3.26 (20014) {G0,W19,D3,L3,V6,M3} { ! midp( U, X, Y ), ! midp( W, Z, T ), para
% 2.86/3.26 ( skol6( X, Y, Z, T, U, W ), U, Y, T ) }.
% 2.86/3.26 (20015) {G0,W22,D3,L5,V7,M5} { ! midp( Z, X, Y ), ! midp( W, T, U ), !
% 2.86/3.26 coll( T, X, Y ), ! coll( U, X, Y ), midp( skol7( X, V0 ), X, V0 ) }.
% 2.86/3.26 (20016) {G0,W26,D3,L5,V8,M5} { ! midp( T, X, U ), ! para( X, W, Z, T ), !
% 2.86/3.26 para( X, W, U, Y ), ! coll( W, Y, Z ), coll( skol8( V0, V1, Z, T ), T, Z
% 2.86/3.26 ) }.
% 2.86/3.26 (20017) {G0,W26,D3,L5,V6,M5} { ! midp( T, X, U ), ! para( X, W, Z, T ), !
% 2.86/3.26 para( X, W, U, Y ), ! coll( W, Y, Z ), coll( skol8( X, Y, Z, T ), X, Y )
% 2.86/3.26 }.
% 2.86/3.26 (20018) {G0,W19,D3,L3,V7,M3} { ! cong( T, Z, T, U ), ! perp( X, Y, Y, T )
% 2.86/3.26 , cong( T, Z, T, skol9( W, V0, Z, T ) ) }.
% 2.86/3.26 (20019) {G0,W19,D3,L3,V6,M3} { ! cong( T, Z, T, U ), ! perp( X, Y, Y, T )
% 2.86/3.26 , cong( Y, Z, Y, skol9( W, Y, Z, T ) ) }.
% 2.86/3.26 (20020) {G0,W19,D3,L3,V5,M3} { ! cong( T, Z, T, U ), ! perp( X, Y, Y, T )
% 2.86/3.26 , para( skol9( X, Y, Z, T ), Z, X, Y ) }.
% 2.86/3.26 (20021) {G0,W17,D3,L3,V5,M3} { ! perp( X, T, Y, Z ), ! perp( Y, T, X, Z )
% 2.86/3.26 , coll( skol10( U, Y, Z ), Z, Y ) }.
% 2.86/3.26 (20022) {G0,W18,D3,L3,V4,M3} { ! perp( X, T, Y, Z ), ! perp( Y, T, X, Z )
% 2.86/3.26 , perp( X, skol10( X, Y, Z ), Z, Y ) }.
% 2.86/3.26 (20023) {G0,W14,D2,L3,V4,M3} { ! perp( X, T, Y, Z ), ! perp( Y, T, X, Z )
% 2.86/3.26 , alpha1( X, Y, Z ) }.
% 2.86/3.26 (20024) {G0,W11,D3,L2,V4,M2} { ! alpha1( X, Y, Z ), coll( skol11( X, T, Z
% 2.86/3.26 ), Z, X ) }.
% 2.86/3.26 (20025) {G0,W12,D3,L2,V3,M2} { ! alpha1( X, Y, Z ), perp( Y, skol11( X, Y
% 2.86/3.26 , Z ), Z, X ) }.
% 2.86/3.26 (20026) {G0,W13,D2,L3,V4,M3} { ! coll( T, Z, X ), ! perp( Y, T, Z, X ),
% 2.86/3.26 alpha1( X, Y, Z ) }.
% 2.86/3.26 (20027) {G0,W12,D3,L2,V4,M2} { ! circle( Y, X, Z, T ), perp( skol12( X, Y
% 2.86/3.26 ), X, X, Y ) }.
% 2.86/3.26 (20028) {G0,W28,D3,L5,V8,M5} { ! circle( W, X, Y, Z ), ! cong( W, X, W, T
% 2.86/3.26 ), ! cong( U, X, U, Y ), W = U, alpha2( X, Z, U, skol13( X, V0, Z, V1, U
% 2.86/3.26 ) ) }.
% 2.86/3.26 (20029) {G0,W26,D3,L5,V8,M5} { ! circle( W, X, Y, Z ), ! cong( W, X, W, T
% 2.86/3.26 ), ! cong( U, X, U, Y ), W = U, coll( skol21( V0, Y, T, V1 ), Y, T ) }.
% 2.86/3.26 (20030) {G0,W27,D3,L5,V6,M5} { ! circle( W, X, Y, Z ), ! cong( W, X, W, T
% 2.86/3.26 ), ! cong( U, X, U, Y ), W = U, cong( skol21( X, Y, T, U ), U, U, X )
% 2.86/3.26 }.
% 2.86/3.26 (20031) {G0,W9,D2,L2,V4,M2} { ! alpha2( X, Y, Z, T ), coll( T, X, Y ) }.
% 2.86/3.26 (20032) {G0,W10,D2,L2,V4,M2} { ! alpha2( X, Y, Z, T ), cong( T, Z, Z, X )
% 2.86/3.26 }.
% 2.86/3.26 (20033) {G0,W14,D2,L3,V4,M3} { ! coll( T, X, Y ), ! cong( T, Z, Z, X ),
% 2.86/3.26 alpha2( X, Y, Z, T ) }.
% 2.86/3.26 (20034) {G0,W22,D3,L4,V5,M4} { ! cyclic( X, Y, Z, T ), ! para( X, Y, Z, T
% 2.86/3.26 ), ! midp( U, X, Y ), circle( skol14( X, Y, Z ), X, Y, Z ) }.
% 2.86/3.26 (20035) {G0,W18,D3,L3,V4,M3} { ! perp( X, Z, Z, Y ), ! cyclic( X, Y, Z, T
% 2.86/3.26 ), circle( skol15( X, Y, Z ), X, Y, Z ) }.
% 2.86/3.26 (20036) {G0,W16,D3,L3,V6,M3} { ! perp( X, U, U, T ), ! coll( T, Y, Z ),
% 2.86/3.26 coll( skol16( W, Y, Z ), Y, Z ) }.
% 2.86/3.26 (20037) {G0,W17,D3,L3,V5,M3} { ! perp( X, U, U, T ), ! coll( T, Y, Z ),
% 2.86/3.26 perp( skol16( X, Y, Z ), X, Y, Z ) }.
% 2.86/3.26 (20038) {G0,W20,D3,L4,V5,M4} { ! perp( X, Z, X, Y ), ! perp( Y, X, Y, T )
% 2.86/3.26 , ! midp( U, Z, T ), midp( skol17( X, Y ), X, Y ) }.
% 2.86/3.26 (20039) {G0,W16,D3,L3,V3,M3} { ! cong( Y, X, Y, Z ), ! perp( X, Y, Y, Z )
% 2.86/3.26 , coll( X, Y, skol18( X, Y ) ) }.
% 2.86/3.26 (20040) {G0,W17,D3,L3,V3,M3} { ! cong( Y, X, Y, Z ), ! perp( X, Y, Y, Z )
% 2.86/3.26 , cong( Y, X, Y, skol18( X, Y ) ) }.
% 2.86/3.26 (20041) {G0,W25,D3,L5,V8,M5} { ! para( U, W, X, Y ), ! coll( Z, U, X ), !
% 2.86/3.26 coll( Z, W, Y ), ! coll( T, U, W ), coll( Z, T, skol19( V0, V1, Z, T ) )
% 2.86/3.26 }.
% 2.86/3.26 (20042) {G0,W25,D3,L5,V6,M5} { ! para( U, W, X, Y ), ! coll( Z, U, X ), !
% 2.86/3.26 coll( Z, W, Y ), ! coll( T, U, W ), coll( skol19( X, Y, Z, T ), X, Y )
% 2.86/3.26 }.
% 2.86/3.26 (20043) {G0,W4,D2,L1,V0,M1} { midp( skol26, skol25, skol20 ) }.
% 2.86/3.26 (20044) {G0,W5,D2,L1,V0,M1} { circle( skol26, skol20, skol27, skol28 ) }.
% 2.86/3.26 (20045) {G0,W5,D2,L1,V0,M1} { circle( skol26, skol20, skol29, skol30 ) }.
% 2.86/3.26 (20046) {G0,W5,D2,L1,V0,M1} { circle( skol26, skol20, skol31, skol32 ) }.
% 2.86/3.26 (20047) {G0,W5,D2,L1,V0,M1} { circle( skol29, skol25, skol33, skol34 ) }.
% 2.86/3.26 (20048) {G0,W5,D2,L1,V0,M1} { circle( skol26, skol20, skol22, skol35 ) }.
% 2.86/3.26 (20049) {G0,W5,D2,L1,V0,M1} { circle( skol29, skol25, skol22, skol36 ) }.
% 2.86/3.26 (20050) {G0,W4,D2,L1,V0,M1} { coll( skol37, skol25, skol31 ) }.
% 2.86/3.26 (20051) {G0,W4,D2,L1,V0,M1} { coll( skol37, skol20, skol22 ) }.
% 2.86/3.26 (20052) {G0,W4,D2,L1,V0,M1} { coll( skol23, skol20, skol29 ) }.
% 2.86/3.26 (20053) {G0,W4,D2,L1,V0,M1} { coll( skol23, skol25, skol31 ) }.
% 2.86/3.26 (20054) {G0,W4,D2,L1,V0,M1} { coll( skol24, skol20, skol22 ) }.
% 2.86/3.26 (20055) {G0,W4,D2,L1,V0,M1} { coll( skol24, skol29, skol31 ) }.
% 2.86/3.26 (20056) {G0,W5,D2,L1,V0,M1} { ! perp( skol23, skol24, skol20, skol22 ) }.
% 2.86/3.26
% 2.86/3.26
% 2.86/3.26 Total Proof:
% 2.86/3.26
% 2.86/3.26 subsumption: (0) {G0,W8,D2,L2,V3,M2} I { ! coll( X, Y, Z ), coll( X, Z, Y )
% 2.86/3.26 }.
% 2.86/3.26 parent0: (19926) {G0,W8,D2,L2,V3,M2} { ! coll( X, Y, Z ), coll( X, Z, Y )
% 2.86/3.26 }.
% 2.86/3.26 substitution0:
% 2.86/3.26 X := X
% 2.86/3.26 Y := Y
% 2.86/3.26 Z := Z
% 2.86/3.26 end
% 2.86/3.26 permutation0:
% 2.86/3.26 0 ==> 0
% 2.86/3.26 1 ==> 1
% 2.86/3.26 end
% 2.86/3.26
% 2.86/3.26 subsumption: (1) {G0,W8,D2,L2,V3,M2} I { ! coll( X, Y, Z ), coll( Y, X, Z )
% 2.86/3.26 }.
% 2.86/3.26 parent0: (19927) {G0,W8,D2,L2,V3,M2} { ! coll( X, Y, Z ), coll( Y, X, Z )
% 2.86/3.26 }.
% 2.86/3.26 substitution0:
% 2.86/3.26 X := X
% 2.86/3.26 Y := Y
% 2.86/3.26 Z := Z
% 2.86/3.26 end
% 2.86/3.26 permutation0:
% 2.86/3.26 0 ==> 0
% 2.86/3.26 1 ==> 1
% 2.86/3.26 end
% 2.86/3.26
% 2.86/3.26 subsumption: (2) {G0,W12,D2,L3,V4,M3} I { ! coll( X, T, Y ), ! coll( X, T,
% 2.86/3.26 Z ), coll( Y, Z, X ) }.
% 2.86/3.26 parent0: (19928) {G0,W12,D2,L3,V4,M3} { ! coll( X, T, Y ), ! coll( X, T, Z
% 2.86/3.26 ), coll( Y, Z, X ) }.
% 2.86/3.26 substitution0:
% 2.86/3.26 X := X
% 2.86/3.26 Y := Y
% 2.86/3.26 Z := Z
% 2.86/3.26 T := T
% 2.86/3.26 end
% 2.86/3.26 permutation0:
% 2.86/3.26 0 ==> 0
% 2.86/3.26 1 ==> 1
% 2.86/3.26 2 ==> 2
% 2.86/3.26 end
% 2.86/3.26
% 2.86/3.26 subsumption: (3) {G0,W10,D2,L2,V4,M2} I { ! para( X, Y, Z, T ), para( X, Y
% 2.86/3.26 , T, Z ) }.
% 2.86/3.26 parent0: (19929) {G0,W10,D2,L2,V4,M2} { ! para( X, Y, Z, T ), para( X, Y,
% 2.86/3.26 T, Z ) }.
% 2.86/3.26 substitution0:
% 2.86/3.26 X := X
% 2.86/3.26 Y := Y
% 2.86/3.26 Z := Z
% 2.86/3.26 T := T
% 2.86/3.26 end
% 2.86/3.26 permutation0:
% 2.86/3.26 0 ==> 0
% 2.86/3.26 1 ==> 1
% 2.86/3.26 end
% 2.86/3.26
% 2.86/3.26 subsumption: (4) {G0,W10,D2,L2,V4,M2} I { ! para( X, Y, Z, T ), para( Z, T
% 2.86/3.26 , X, Y ) }.
% 2.86/3.26 parent0: (19930) {G0,W10,D2,L2,V4,M2} { ! para( X, Y, Z, T ), para( Z, T,
% 2.86/3.26 X, Y ) }.
% 2.86/3.26 substitution0:
% 2.86/3.26 X := X
% 2.86/3.26 Y := Y
% 2.86/3.26 Z := Z
% 2.86/3.26 T := T
% 2.86/3.26 end
% 2.86/3.26 permutation0:
% 2.86/3.26 0 ==> 0
% 2.86/3.26 1 ==> 1
% 2.86/3.26 end
% 2.86/3.26
% 2.86/3.26 subsumption: (5) {G0,W15,D2,L3,V6,M3} I { ! para( X, Y, U, W ), ! para( U,
% 2.86/3.26 W, Z, T ), para( X, Y, Z, T ) }.
% 2.86/3.26 parent0: (19931) {G0,W15,D2,L3,V6,M3} { ! para( X, Y, U, W ), ! para( U, W
% 2.86/3.26 , Z, T ), para( X, Y, Z, T ) }.
% 2.86/3.26 substitution0:
% 2.86/3.26 X := X
% 2.86/3.26 Y := Y
% 2.86/3.26 Z := Z
% 2.86/3.26 T := T
% 2.86/3.26 U := U
% 2.86/3.26 W := W
% 2.86/3.26 end
% 2.86/3.26 permutation0:
% 2.86/3.26 0 ==> 0
% 2.86/3.26 1 ==> 1
% 2.86/3.26 2 ==> 2
% 2.86/3.26 end
% 2.86/3.26
% 2.86/3.26 subsumption: (6) {G0,W10,D2,L2,V4,M2} I { ! perp( X, Y, Z, T ), perp( X, Y
% 2.86/3.26 , T, Z ) }.
% 2.86/3.26 parent0: (19932) {G0,W10,D2,L2,V4,M2} { ! perp( X, Y, Z, T ), perp( X, Y,
% 2.86/3.26 T, Z ) }.
% 2.86/3.26 substitution0:
% 2.86/3.26 X := X
% 2.86/3.26 Y := Y
% 2.86/3.26 Z := Z
% 2.86/3.26 T := T
% 2.86/3.26 end
% 2.86/3.26 permutation0:
% 2.86/3.26 0 ==> 0
% 2.86/3.26 1 ==> 1
% 2.86/3.26 end
% 2.86/3.26
% 2.86/3.26 subsumption: (7) {G0,W10,D2,L2,V4,M2} I { ! perp( X, Y, Z, T ), perp( Z, T
% 2.86/3.26 , X, Y ) }.
% 2.86/3.26 parent0: (19933) {G0,W10,D2,L2,V4,M2} { ! perp( X, Y, Z, T ), perp( Z, T,
% 2.86/3.26 X, Y ) }.
% 2.86/3.26 substitution0:
% 2.86/3.26 X := X
% 2.86/3.26 Y := Y
% 2.86/3.26 Z := Z
% 2.86/3.26 T := T
% 2.86/3.26 end
% 2.86/3.26 permutation0:
% 2.86/3.26 0 ==> 0
% 2.86/3.26 1 ==> 1
% 2.86/3.26 end
% 2.86/3.26
% 2.86/3.26 subsumption: (8) {G0,W15,D2,L3,V6,M3} I { ! perp( X, Y, U, W ), ! perp( U,
% 2.86/3.26 W, Z, T ), para( X, Y, Z, T ) }.
% 2.86/3.26 parent0: (19934) {G0,W15,D2,L3,V6,M3} { ! perp( X, Y, U, W ), ! perp( U, W
% 2.86/3.26 , Z, T ), para( X, Y, Z, T ) }.
% 2.86/3.26 substitution0:
% 2.86/3.26 X := X
% 2.86/3.26 Y := Y
% 2.86/3.26 Z := Z
% 2.86/3.26 T := T
% 2.86/3.26 U := U
% 2.86/3.26 W := W
% 2.86/3.26 end
% 2.86/3.26 permutation0:
% 2.86/3.26 0 ==> 0
% 2.86/3.26 1 ==> 1
% 2.86/3.26 2 ==> 2
% 2.86/3.26 end
% 2.86/3.26
% 2.86/3.26 subsumption: (9) {G0,W15,D2,L3,V6,M3} I { ! para( X, Y, U, W ), ! perp( U,
% 2.86/3.26 W, Z, T ), perp( X, Y, Z, T ) }.
% 2.86/3.26 parent0: (19935) {G0,W15,D2,L3,V6,M3} { ! para( X, Y, U, W ), ! perp( U, W
% 2.86/3.26 , Z, T ), perp( X, Y, Z, T ) }.
% 2.86/3.26 substitution0:
% 2.86/3.26 X := X
% 2.86/3.26 Y := Y
% 2.86/3.26 Z := Z
% 2.86/3.26 T := T
% 2.86/3.26 U := U
% 2.86/3.26 W := W
% 2.86/3.26 end
% 2.86/3.26 permutation0:
% 2.86/3.26 0 ==> 0
% 2.86/3.26 1 ==> 1
% 2.86/3.26 2 ==> 2
% 2.86/3.26 end
% 2.86/3.26
% 2.86/3.26 subsumption: (10) {G0,W8,D2,L2,V3,M2} I { ! midp( Z, Y, X ), midp( Z, X, Y
% 2.86/3.26 ) }.
% 2.86/3.26 parent0: (19936) {G0,W8,D2,L2,V3,M2} { ! midp( Z, Y, X ), midp( Z, X, Y )
% 2.86/3.26 }.
% 2.86/3.26 substitution0:
% 2.86/3.26 X := X
% 2.86/3.26 Y := Y
% 2.86/3.26 Z := Z
% 2.86/3.26 end
% 2.86/3.26 permutation0:
% 2.86/3.26 0 ==> 0
% 2.86/3.26 1 ==> 1
% 2.86/3.26 end
% 2.86/3.26
% 2.86/3.26 subsumption: (11) {G0,W15,D2,L3,V4,M3} I { ! cong( T, X, T, Y ), ! cong( T
% 2.86/3.26 , X, T, Z ), circle( T, X, Y, Z ) }.
% 2.86/3.26 parent0: (19937) {G0,W15,D2,L3,V4,M3} { ! cong( T, X, T, Y ), ! cong( T, X
% 2.86/3.26 , T, Z ), circle( T, X, Y, Z ) }.
% 2.86/3.26 substitution0:
% 2.86/3.26 X := X
% 2.86/3.26 Y := Y
% 2.86/3.26 Z := Z
% 2.86/3.26 T := T
% 2.86/3.26 end
% 2.86/3.26 permutation0:
% 2.86/3.26 0 ==> 0
% 2.86/3.26 1 ==> 1
% 2.86/3.26 2 ==> 2
% 2.86/3.26 end
% 2.86/3.26
% 2.86/3.26 subsumption: (12) {G0,W20,D2,L4,V5,M4} I { ! cong( U, X, U, Y ), ! cong( U
% 2.86/3.26 , X, U, Z ), ! cong( U, X, U, T ), cyclic( X, Y, Z, T ) }.
% 2.86/3.26 parent0: (19938) {G0,W20,D2,L4,V5,M4} { ! cong( U, X, U, Y ), ! cong( U, X
% 2.86/3.26 , U, Z ), ! cong( U, X, U, T ), cyclic( X, Y, Z, T ) }.
% 2.86/3.26 substitution0:
% 2.86/3.26 X := X
% 2.86/3.26 Y := Y
% 2.86/3.26 Z := Z
% 2.86/3.26 T := T
% 2.86/3.26 U := U
% 2.86/3.26 end
% 2.86/3.26 permutation0:
% 2.86/3.26 0 ==> 0
% 2.86/3.26 1 ==> 1
% 2.86/3.26 2 ==> 2
% 2.86/3.26 3 ==> 3
% 2.86/3.26 end
% 2.86/3.26
% 2.86/3.26 subsumption: (16) {G0,W15,D2,L3,V5,M3} I { ! cyclic( U, X, Y, Z ), ! cyclic
% 2.86/3.26 ( U, X, Y, T ), cyclic( X, Y, Z, T ) }.
% 2.86/3.26 parent0: (19942) {G0,W15,D2,L3,V5,M3} { ! cyclic( U, X, Y, Z ), ! cyclic(
% 2.86/3.26 U, X, Y, T ), cyclic( X, Y, Z, T ) }.
% 2.86/3.26 substitution0:
% 2.86/3.26 X := X
% 2.86/3.26 Y := Y
% 2.86/3.26 Z := Z
% 2.86/3.26 T := T
% 2.86/3.26 U := U
% 2.86/3.26 end
% 2.86/3.26 permutation0:
% 2.86/3.26 0 ==> 0
% 2.86/3.26 1 ==> 1
% 2.86/3.26 2 ==> 2
% 2.86/3.26 end
% 2.86/3.26
% 2.86/3.26 subsumption: (17) {G0,W18,D2,L2,V8,M2} I { ! eqangle( X, Y, Z, T, U, W, V0
% 2.86/3.26 , V1 ), eqangle( Y, X, Z, T, U, W, V0, V1 ) }.
% 2.86/3.26 parent0: (19943) {G0,W18,D2,L2,V8,M2} { ! eqangle( X, Y, Z, T, U, W, V0,
% 2.86/3.26 V1 ), eqangle( Y, X, Z, T, U, W, V0, V1 ) }.
% 2.86/3.26 substitution0:
% 2.86/3.26 X := X
% 2.86/3.26 Y := Y
% 2.86/3.26 Z := Z
% 2.86/3.26 T := T
% 2.86/3.26 U := U
% 2.86/3.26 W := W
% 2.86/3.26 V0 := V0
% 2.86/3.26 V1 := V1
% 2.86/3.26 end
% 2.86/3.26 permutation0:
% 2.86/3.26 0 ==> 0
% 2.86/3.26 1 ==> 1
% 2.86/3.26 end
% 2.86/3.26
% 2.86/3.26 subsumption: (18) {G0,W18,D2,L2,V8,M2} I { ! eqangle( X, Y, Z, T, U, W, V0
% 2.86/3.26 , V1 ), eqangle( Z, T, X, Y, V0, V1, U, W ) }.
% 2.86/3.26 parent0: (19944) {G0,W18,D2,L2,V8,M2} { ! eqangle( X, Y, Z, T, U, W, V0,
% 2.86/3.26 V1 ), eqangle( Z, T, X, Y, V0, V1, U, W ) }.
% 2.86/3.26 substitution0:
% 2.86/3.26 X := X
% 2.86/3.26 Y := Y
% 2.86/3.26 Z := Z
% 2.86/3.26 T := T
% 2.86/3.26 U := U
% 2.86/3.26 W := W
% 2.86/3.26 V0 := V0
% 2.86/3.26 V1 := V1
% 2.86/3.26 end
% 2.86/3.26 permutation0:
% 2.86/3.26 0 ==> 0
% 2.86/3.26 1 ==> 1
% 2.86/3.26 end
% 2.86/3.26
% 2.86/3.26 subsumption: (19) {G0,W18,D2,L2,V8,M2} I { ! eqangle( X, Y, Z, T, U, W, V0
% 2.86/3.26 , V1 ), eqangle( U, W, V0, V1, X, Y, Z, T ) }.
% 2.86/3.26 parent0: (19945) {G0,W18,D2,L2,V8,M2} { ! eqangle( X, Y, Z, T, U, W, V0,
% 2.86/3.26 V1 ), eqangle( U, W, V0, V1, X, Y, Z, T ) }.
% 2.86/3.26 substitution0:
% 2.86/3.26 X := X
% 2.86/3.26 Y := Y
% 2.86/3.26 Z := Z
% 2.86/3.26 T := T
% 2.86/3.26 U := U
% 2.86/3.26 W := W
% 2.86/3.26 V0 := V0
% 2.86/3.26 V1 := V1
% 2.86/3.26 end
% 2.86/3.26 permutation0:
% 2.86/3.26 0 ==> 0
% 2.86/3.26 1 ==> 1
% 2.86/3.26 end
% 2.86/3.26
% 2.86/3.26 subsumption: (20) {G0,W18,D2,L2,V8,M2} I { ! eqangle( X, Y, Z, T, U, W, V0
% 2.86/3.26 , V1 ), eqangle( X, Y, U, W, Z, T, V0, V1 ) }.
% 2.86/3.26 parent0: (19946) {G0,W18,D2,L2,V8,M2} { ! eqangle( X, Y, Z, T, U, W, V0,
% 2.86/3.26 V1 ), eqangle( X, Y, U, W, Z, T, V0, V1 ) }.
% 2.86/3.26 substitution0:
% 2.86/3.26 X := X
% 2.86/3.26 Y := Y
% 2.86/3.26 Z := Z
% 2.86/3.26 T := T
% 2.86/3.26 U := U
% 2.86/3.26 W := W
% 2.86/3.26 V0 := V0
% 2.86/3.26 V1 := V1
% 2.86/3.26 end
% 2.86/3.26 permutation0:
% 2.86/3.26 0 ==> 0
% 2.86/3.26 1 ==> 1
% 2.86/3.26 end
% 2.86/3.26
% 2.86/3.26 subsumption: (22) {G0,W10,D2,L2,V4,M2} I { ! cong( X, Y, Z, T ), cong( X, Y
% 2.86/3.26 , T, Z ) }.
% 2.86/3.26 parent0: (19948) {G0,W10,D2,L2,V4,M2} { ! cong( X, Y, Z, T ), cong( X, Y,
% 2.86/3.26 T, Z ) }.
% 2.86/3.26 substitution0:
% 2.86/3.26 X := X
% 2.86/3.26 Y := Y
% 2.86/3.26 Z := Z
% 2.86/3.26 T := T
% 2.86/3.26 end
% 2.86/3.26 permutation0:
% 2.86/3.26 0 ==> 0
% 2.86/3.26 1 ==> 1
% 2.86/3.26 end
% 2.86/3.26
% 2.86/3.26 subsumption: (23) {G0,W10,D2,L2,V4,M2} I { ! cong( X, Y, Z, T ), cong( Z, T
% 2.86/3.26 , X, Y ) }.
% 2.86/3.26 parent0: (19949) {G0,W10,D2,L2,V4,M2} { ! cong( X, Y, Z, T ), cong( Z, T,
% 2.86/3.26 X, Y ) }.
% 2.86/3.26 substitution0:
% 2.86/3.26 X := X
% 2.86/3.26 Y := Y
% 2.86/3.26 Z := Z
% 2.86/3.26 T := T
% 2.86/3.26 end
% 2.86/3.26 permutation0:
% 2.86/3.26 0 ==> 0
% 2.86/3.26 1 ==> 1
% 2.86/3.26 end
% 2.86/3.26
% 2.86/3.26 subsumption: (24) {G0,W15,D2,L3,V6,M3} I { ! cong( X, Y, U, W ), ! cong( U
% 2.86/3.26 , W, Z, T ), cong( X, Y, Z, T ) }.
% 2.86/3.26 parent0: (19950) {G0,W15,D2,L3,V6,M3} { ! cong( X, Y, U, W ), ! cong( U, W
% 2.86/3.26 , Z, T ), cong( X, Y, Z, T ) }.
% 2.86/3.26 substitution0:
% 2.86/3.26 X := X
% 2.86/3.26 Y := Y
% 2.86/3.26 Z := Z
% 2.86/3.26 T := T
% 2.86/3.26 U := U
% 2.86/3.26 W := W
% 2.86/3.26 end
% 2.86/3.26 permutation0:
% 2.86/3.26 0 ==> 0
% 2.86/3.26 1 ==> 1
% 2.86/3.26 2 ==> 2
% 2.86/3.26 end
% 2.86/3.26
% 2.86/3.26 subsumption: (38) {G0,W14,D2,L2,V6,M2} I { ! eqangle( X, Y, U, W, Z, T, U,
% 2.86/3.26 W ), para( X, Y, Z, T ) }.
% 2.86/3.26 parent0: (19964) {G0,W14,D2,L2,V6,M2} { ! eqangle( X, Y, U, W, Z, T, U, W
% 2.86/3.26 ), para( X, Y, Z, T ) }.
% 2.86/3.26 substitution0:
% 2.86/3.26 X := X
% 2.86/3.26 Y := Y
% 2.86/3.26 Z := Z
% 2.86/3.26 T := T
% 2.86/3.26 U := U
% 2.86/3.26 W := W
% 2.86/3.26 end
% 2.86/3.26 permutation0:
% 2.86/3.26 0 ==> 0
% 2.86/3.26 1 ==> 1
% 2.86/3.26 end
% 2.86/3.26
% 2.86/3.26 subsumption: (39) {G0,W14,D2,L2,V6,M2} I { ! para( X, Y, Z, T ), eqangle( X
% 2.86/3.26 , Y, U, W, Z, T, U, W ) }.
% 2.86/3.26 parent0: (19965) {G0,W14,D2,L2,V6,M2} { ! para( X, Y, Z, T ), eqangle( X,
% 2.86/3.26 Y, U, W, Z, T, U, W ) }.
% 2.86/3.26 substitution0:
% 2.86/3.26 X := X
% 2.86/3.26 Y := Y
% 2.86/3.26 Z := Z
% 2.86/3.26 T := T
% 2.86/3.26 U := U
% 2.86/3.26 W := W
% 2.86/3.26 end
% 2.86/3.26 permutation0:
% 2.86/3.26 0 ==> 0
% 2.86/3.26 1 ==> 1
% 2.86/3.26 end
% 2.86/3.26
% 2.86/3.26 subsumption: (43) {G0,W29,D2,L5,V6,M5} I { ! cyclic( X, Y, U, Z ), ! cyclic
% 2.86/3.26 ( X, Y, U, T ), ! cyclic( X, Y, U, W ), ! eqangle( U, X, U, Y, W, Z, W, T
% 2.86/3.26 ), cong( X, Y, Z, T ) }.
% 2.86/3.26 parent0: (19969) {G0,W29,D2,L5,V6,M5} { ! cyclic( X, Y, U, Z ), ! cyclic(
% 2.86/3.26 X, Y, U, T ), ! cyclic( X, Y, U, W ), ! eqangle( U, X, U, Y, W, Z, W, T )
% 2.86/3.26 , cong( X, Y, Z, T ) }.
% 2.86/3.26 substitution0:
% 2.86/3.26 X := X
% 2.86/3.26 Y := Y
% 2.86/3.26 Z := Z
% 2.86/3.26 T := T
% 2.86/3.26 U := U
% 2.86/3.26 W := W
% 2.86/3.26 end
% 2.86/3.26 permutation0:
% 2.86/3.26 0 ==> 0
% 2.86/3.26 1 ==> 1
% 2.86/3.26 2 ==> 2
% 2.86/3.26 3 ==> 3
% 2.86/3.26 4 ==> 4
% 2.86/3.26 end
% 2.86/3.26
% 2.86/3.26 subsumption: (46) {G0,W14,D2,L2,V3,M2} I { ! cong( Z, X, Z, Y ), eqangle( Z
% 2.86/3.26 , X, X, Y, X, Y, Z, Y ) }.
% 2.86/3.26 parent0: (19972) {G0,W14,D2,L2,V3,M2} { ! cong( Z, X, Z, Y ), eqangle( Z,
% 2.86/3.26 X, X, Y, X, Y, Z, Y ) }.
% 2.86/3.26 substitution0:
% 2.86/3.26 X := X
% 2.86/3.26 Y := Y
% 2.86/3.26 Z := Z
% 2.86/3.26 end
% 2.86/3.26 permutation0:
% 2.86/3.26 0 ==> 0
% 2.86/3.26 1 ==> 1
% 2.86/3.26 end
% 2.86/3.26
% 2.86/3.26 subsumption: (52) {G0,W14,D2,L3,V4,M3} I { ! perp( X, Y, Y, T ), ! midp( Z
% 2.86/3.26 , X, T ), cong( X, Z, Y, Z ) }.
% 2.86/3.26 parent0: (19978) {G0,W14,D2,L3,V4,M3} { ! perp( X, Y, Y, T ), ! midp( Z, X
% 2.86/3.26 , T ), cong( X, Z, Y, Z ) }.
% 2.86/3.26 substitution0:
% 2.86/3.26 X := X
% 2.86/3.26 Y := Y
% 2.86/3.26 Z := Z
% 2.86/3.26 T := T
% 2.86/3.26 end
% 2.86/3.26 permutation0:
% 2.86/3.26 0 ==> 0
% 2.86/3.26 1 ==> 1
% 2.86/3.26 2 ==> 2
% 2.86/3.26 end
% 2.86/3.26
% 2.86/3.26 subsumption: (56) {G0,W15,D2,L3,V4,M3} I { ! cong( X, Z, Y, Z ), ! cong( X
% 2.86/3.26 , T, Y, T ), perp( X, Y, Z, T ) }.
% 2.86/3.26 parent0: (19982) {G0,W15,D2,L3,V4,M3} { ! cong( X, Z, Y, Z ), ! cong( X, T
% 2.86/3.26 , Y, T ), perp( X, Y, Z, T ) }.
% 2.86/3.26 substitution0:
% 2.86/3.26 X := X
% 2.86/3.26 Y := Y
% 2.86/3.26 Z := Z
% 2.86/3.26 T := T
% 2.86/3.26 end
% 2.86/3.26 permutation0:
% 2.86/3.26 0 ==> 0
% 2.86/3.26 1 ==> 1
% 2.86/3.26 2 ==> 2
% 2.86/3.26 end
% 2.86/3.26
% 2.86/3.26 subsumption: (57) {G0,W20,D2,L4,V4,M4} I { ! cong( X, Y, T, Y ), ! cong( X
% 2.86/3.26 , Z, T, Z ), ! cyclic( X, T, Y, Z ), perp( Y, X, X, Z ) }.
% 2.86/3.26 parent0: (19983) {G0,W20,D2,L4,V4,M4} { ! cong( X, Y, T, Y ), ! cong( X, Z
% 2.86/3.26 , T, Z ), ! cyclic( X, T, Y, Z ), perp( Y, X, X, Z ) }.
% 2.86/3.26 substitution0:
% 2.86/3.26 X := X
% 2.86/3.26 Y := Y
% 2.86/3.26 Z := Z
% 2.86/3.26 T := T
% 2.86/3.26 end
% 2.86/3.26 permutation0:
% 2.86/3.26 0 ==> 0
% 2.86/3.26 1 ==> 1
% 2.86/3.26 2 ==> 2
% 2.86/3.26 3 ==> 3
% 2.86/3.26 end
% 2.86/3.26
% 2.86/3.26 subsumption: (63) {G0,W13,D2,L3,V5,M3} I { ! midp( U, X, Y ), ! midp( U, Z
% 2.86/3.26 , T ), para( X, Z, Y, T ) }.
% 2.86/3.26 parent0: (19989) {G0,W13,D2,L3,V5,M3} { ! midp( U, X, Y ), ! midp( U, Z, T
% 2.86/3.26 ), para( X, Z, Y, T ) }.
% 2.86/3.26 substitution0:
% 2.86/3.26 X := X
% 2.86/3.26 Y := Y
% 2.86/3.26 Z := Z
% 2.86/3.26 T := T
% 2.86/3.26 U := U
% 2.86/3.26 end
% 2.86/3.26 permutation0:
% 2.86/3.26 0 ==> 0
% 2.86/3.26 1 ==> 1
% 2.86/3.26 2 ==> 2
% 2.86/3.26 end
% 2.86/3.26
% 2.86/3.26 subsumption: (64) {G0,W18,D2,L4,V5,M4} I { ! midp( Z, T, U ), ! para( T, X
% 2.86/3.26 , U, Y ), ! para( T, Y, U, X ), midp( Z, X, Y ) }.
% 2.86/3.26 parent0: (19990) {G0,W18,D2,L4,V5,M4} { ! midp( Z, T, U ), ! para( T, X, U
% 2.86/3.26 , Y ), ! para( T, Y, U, X ), midp( Z, X, Y ) }.
% 2.86/3.26 substitution0:
% 2.86/3.26 X := X
% 2.86/3.26 Y := Y
% 2.86/3.26 Z := Z
% 2.86/3.26 T := T
% 2.86/3.26 U := U
% 2.86/3.26 end
% 2.86/3.26 permutation0:
% 2.86/3.26 0 ==> 0
% 2.86/3.26 1 ==> 1
% 2.86/3.26 2 ==> 2
% 2.86/3.26 3 ==> 3
% 2.86/3.26 end
% 2.86/3.26
% 2.86/3.26 subsumption: (68) {G0,W9,D2,L2,V3,M2} I { ! midp( X, Y, Z ), cong( X, Y, X
% 2.86/3.26 , Z ) }.
% 2.86/3.26 parent0: (19994) {G0,W9,D2,L2,V3,M2} { ! midp( X, Y, Z ), cong( X, Y, X, Z
% 2.86/3.26 ) }.
% 2.86/3.26 substitution0:
% 2.86/3.26 X := X
% 2.86/3.26 Y := Y
% 2.86/3.26 Z := Z
% 2.86/3.26 end
% 2.86/3.26 permutation0:
% 2.86/3.26 0 ==> 0
% 2.86/3.26 1 ==> 1
% 2.86/3.26 end
% 2.86/3.26
% 2.86/3.26 subsumption: (69) {G0,W8,D2,L2,V3,M2} I { ! midp( X, Y, Z ), coll( X, Y, Z
% 2.86/3.26 ) }.
% 2.86/3.26 parent0: (19995) {G0,W8,D2,L2,V3,M2} { ! midp( X, Y, Z ), coll( X, Y, Z )
% 2.86/3.26 }.
% 2.86/3.26 substitution0:
% 2.86/3.26 X := X
% 2.86/3.26 Y := Y
% 2.86/3.26 Z := Z
% 2.86/3.26 end
% 2.86/3.26 permutation0:
% 2.86/3.26 0 ==> 0
% 2.86/3.26 1 ==> 1
% 2.86/3.26 end
% 2.86/3.26
% 2.86/3.26 subsumption: (71) {G0,W19,D2,L3,V4,M3} I { ! eqangle( X, Y, Z, T, Z, T, X,
% 2.86/3.26 Y ), para( X, Y, Z, T ), perp( X, Y, Z, T ) }.
% 2.86/3.26 parent0: (19997) {G0,W19,D2,L3,V4,M3} { ! eqangle( X, Y, Z, T, Z, T, X, Y
% 2.86/3.26 ), para( X, Y, Z, T ), perp( X, Y, Z, T ) }.
% 2.86/3.26 substitution0:
% 2.86/3.26 X := X
% 2.86/3.26 Y := Y
% 2.86/3.26 Z := Z
% 2.86/3.26 T := T
% 2.86/3.26 end
% 2.86/3.26 permutation0:
% 2.86/3.26 0 ==> 0
% 2.86/3.26 1 ==> 1
% 2.86/3.26 2 ==> 2
% 2.86/3.26 end
% 2.86/3.26
% 2.86/3.26 subsumption: (73) {G0,W19,D2,L3,V8,M3} I { ! eqangle( X, Y, Z, T, U, W, V0
% 2.86/3.26 , V1 ), ! perp( U, W, V0, V1 ), perp( X, Y, Z, T ) }.
% 2.86/3.26 parent0: (20000) {G0,W19,D2,L3,V8,M3} { ! eqangle( X, Y, Z, T, U, W, V0,
% 2.86/3.26 V1 ), ! perp( U, W, V0, V1 ), perp( X, Y, Z, T ) }.
% 2.86/3.26 substitution0:
% 2.86/3.26 X := X
% 2.86/3.26 Y := Y
% 2.86/3.26 Z := Z
% 2.86/3.26 T := T
% 2.86/3.26 U := U
% 2.86/3.26 W := W
% 2.86/3.26 V0 := V0
% 2.86/3.26 V1 := V1
% 2.86/3.26 end
% 2.86/3.26 permutation0:
% 2.86/3.26 0 ==> 0
% 2.86/3.26 1 ==> 1
% 2.86/3.26 2 ==> 2
% 2.86/3.26 end
% 2.86/3.26
% 2.86/3.26 subsumption: (88) {G0,W22,D3,L5,V7,M5} I { ! midp( Z, X, Y ), ! midp( W, T
% 2.86/3.26 , U ), ! coll( T, X, Y ), ! coll( U, X, Y ), midp( skol7( X, V0 ), X, V0
% 2.86/3.26 ) }.
% 2.86/3.26 parent0: (20015) {G0,W22,D3,L5,V7,M5} { ! midp( Z, X, Y ), ! midp( W, T, U
% 2.86/3.26 ), ! coll( T, X, Y ), ! coll( U, X, Y ), midp( skol7( X, V0 ), X, V0 )
% 2.86/3.26 }.
% 2.86/3.26 substitution0:
% 2.86/3.26 X := X
% 2.86/3.26 Y := Y
% 2.86/3.26 Z := Z
% 2.86/3.26 T := T
% 2.86/3.26 U := U
% 2.86/3.26 W := W
% 2.86/3.26 V0 := V0
% 2.86/3.26 end
% 2.86/3.26 permutation0:
% 2.86/3.26 0 ==> 0
% 2.86/3.26 1 ==> 1
% 2.86/3.26 2 ==> 2
% 2.86/3.26 3 ==> 3
% 2.86/3.26 4 ==> 4
% 2.86/3.26 end
% 2.86/3.26
% 2.86/3.26 subsumption: (95) {G0,W18,D3,L3,V4,M3} I { ! perp( X, T, Y, Z ), ! perp( Y
% 2.86/3.26 , T, X, Z ), perp( X, skol10( X, Y, Z ), Z, Y ) }.
% 2.86/3.26 parent0: (20022) {G0,W18,D3,L3,V4,M3} { ! perp( X, T, Y, Z ), ! perp( Y, T
% 2.86/3.26 , X, Z ), perp( X, skol10( X, Y, Z ), Z, Y ) }.
% 2.86/3.26 substitution0:
% 2.86/3.26 X := X
% 2.86/3.26 Y := Y
% 2.86/3.26 Z := Z
% 2.86/3.26 T := T
% 2.86/3.26 end
% 2.86/3.26 permutation0:
% 2.86/3.26 0 ==> 0
% 2.86/3.26 1 ==> 1
% 2.86/3.26 2 ==> 2
% 2.86/3.26 end
% 2.86/3.26
% 2.86/3.26 subsumption: (98) {G0,W12,D3,L2,V3,M2} I { ! alpha1( X, Y, Z ), perp( Y,
% 2.86/3.26 skol11( X, Y, Z ), Z, X ) }.
% 2.86/3.26 parent0: (20025) {G0,W12,D3,L2,V3,M2} { ! alpha1( X, Y, Z ), perp( Y,
% 2.86/3.26 skol11( X, Y, Z ), Z, X ) }.
% 2.86/3.26 substitution0:
% 2.86/3.26 X := X
% 2.86/3.26 Y := Y
% 2.86/3.26 Z := Z
% 2.86/3.26 end
% 2.86/3.26 permutation0:
% 2.86/3.26 0 ==> 0
% 2.86/3.26 1 ==> 1
% 2.86/3.26 end
% 2.86/3.26
% 2.86/3.26 subsumption: (99) {G0,W13,D2,L3,V4,M3} I { ! coll( T, Z, X ), ! perp( Y, T
% 2.86/3.26 , Z, X ), alpha1( X, Y, Z ) }.
% 2.86/3.26 parent0: (20026) {G0,W13,D2,L3,V4,M3} { ! coll( T, Z, X ), ! perp( Y, T, Z
% 2.86/3.26 , X ), alpha1( X, Y, Z ) }.
% 2.86/3.26 substitution0:
% 2.86/3.26 X := X
% 2.86/3.26 Y := Y
% 2.86/3.26 Z := Z
% 2.86/3.26 T := T
% 2.86/3.26 end
% 2.86/3.26 permutation0:
% 2.86/3.26 0 ==> 0
% 2.86/3.26 1 ==> 1
% 2.86/3.26 2 ==> 2
% 2.86/3.26 end
% 2.86/3.26
% 2.86/3.26 subsumption: (100) {G0,W12,D3,L2,V4,M2} I { ! circle( Y, X, Z, T ), perp(
% 2.86/3.26 skol12( X, Y ), X, X, Y ) }.
% 2.86/3.26 parent0: (20027) {G0,W12,D3,L2,V4,M2} { ! circle( Y, X, Z, T ), perp(
% 2.86/3.26 skol12( X, Y ), X, X, Y ) }.
% 2.86/3.26 substitution0:
% 2.86/3.26 X := X
% 2.86/3.26 Y := Y
% 2.86/3.26 Z := Z
% 2.86/3.26 T := T
% 2.86/3.26 end
% 2.86/3.26 permutation0:
% 2.86/3.26 0 ==> 0
% 2.86/3.26 1 ==> 1
% 2.86/3.26 end
% 2.86/3.26
% 2.86/3.26 subsumption: (116) {G0,W4,D2,L1,V0,M1} I { midp( skol26, skol25, skol20 )
% 2.86/3.26 }.
% 2.86/3.26 parent0: (20043) {G0,W4,D2,L1,V0,M1} { midp( skol26, skol25, skol20 ) }.
% 2.86/3.26 substitution0:
% 2.86/3.26 end
% 2.86/3.26 permutation0:
% 2.86/3.26 0 ==> 0
% 2.86/3.26 end
% 2.86/3.26
% 2.86/3.26 subsumption: (117) {G0,W5,D2,L1,V0,M1} I { circle( skol26, skol20, skol27,
% 2.86/3.26 skol28 ) }.
% 2.86/3.26 parent0: (20044) {G0,W5,D2,L1,V0,M1} { circle( skol26, skol20, skol27,
% 2.86/3.26 skol28 ) }.
% 2.86/3.26 substitution0:
% 2.86/3.26 end
% 2.86/3.26 permutation0:
% 2.86/3.26 0 ==> 0
% 2.86/3.26 end
% 2.86/3.26
% 2.86/3.26 subsumption: (120) {G0,W5,D2,L1,V0,M1} I { circle( skol29, skol25, skol33,
% 2.86/3.26 skol34 ) }.
% 2.86/3.26 parent0: (20047) {G0,W5,D2,L1,V0,M1} { circle( skol29, skol25, skol33,
% 2.86/3.26 skol34 ) }.
% 2.86/3.26 substitution0:
% 2.86/3.26 end
% 2.86/3.26 permutation0:
% 2.86/3.26 0 ==> 0
% 2.86/3.26 end
% 2.86/3.26
% 2.86/3.26 subsumption: (129) {G0,W5,D2,L1,V0,M1} I { ! perp( skol23, skol24, skol20,
% 2.86/3.26 skol22 ) }.
% 2.86/3.26 parent0: (20056) {G0,W5,D2,L1,V0,M1} { ! perp( skol23, skol24, skol20,
% 2.86/3.26 skol22 ) }.
% 2.86/3.26 substitution0:
% 2.86/3.26 end
% 2.86/3.26 permutation0:
% 2.86/3.26 0 ==> 0
% 2.86/3.26 end
% 2.86/3.26
% 2.86/3.26 factor: (20824) {G0,W10,D2,L2,V3,M2} { ! cong( X, Y, X, Z ), circle( X, Y
% 2.86/3.26 , Z, Z ) }.
% 2.86/3.26 parent0[0, 1]: (11) {G0,W15,D2,L3,V4,M3} I { ! cong( T, X, T, Y ), ! cong(
% 2.86/3.26 T, X, T, Z ), circle( T, X, Y, Z ) }.
% 2.86/3.26 substitution0:
% 2.86/3.26 X := Y
% 2.86/3.26 Y := Z
% 2.86/3.26 Z := Z
% 2.86/3.26 T := X
% 2.86/3.26 end
% 2.86/3.26
% 2.86/3.26 subsumption: (132) {G1,W10,D2,L2,V3,M2} F(11) { ! cong( X, Y, X, Z ),
% 2.86/3.26 circle( X, Y, Z, Z ) }.
% 2.86/3.26 parent0: (20824) {G0,W10,D2,L2,V3,M2} { ! cong( X, Y, X, Z ), circle( X, Y
% 2.86/3.26 , Z, Z ) }.
% 2.86/3.26 substitution0:
% 2.86/3.26 X := X
% 2.86/3.26 Y := Y
% 2.86/3.26 Z := Z
% 2.86/3.26 end
% 2.86/3.26 permutation0:
% 2.86/3.26 0 ==> 0
% 2.86/3.26 1 ==> 1
% 2.86/3.26 end
% 2.86/3.26
% 2.86/3.26 factor: (20827) {G0,W15,D2,L3,V4,M3} { ! cong( X, Y, X, Z ), ! cong( X, Y
% 2.86/3.26 , X, T ), cyclic( Y, Z, T, T ) }.
% 2.86/3.26 parent0[1, 2]: (12) {G0,W20,D2,L4,V5,M4} I { ! cong( U, X, U, Y ), ! cong(
% 2.86/3.26 U, X, U, Z ), ! cong( U, X, U, T ), cyclic( X, Y, Z, T ) }.
% 2.86/3.26 substitution0:
% 2.86/3.26 X := Y
% 2.86/3.26 Y := Z
% 2.86/3.26 Z := T
% 2.86/3.26 T := T
% 2.86/3.26 U := X
% 2.86/3.26 end
% 2.86/3.26
% 2.86/3.26 subsumption: (135) {G1,W15,D2,L3,V4,M3} F(12) { ! cong( X, Y, X, Z ), !
% 2.86/3.26 cong( X, Y, X, T ), cyclic( Y, Z, T, T ) }.
% 2.86/3.26 parent0: (20827) {G0,W15,D2,L3,V4,M3} { ! cong( X, Y, X, Z ), ! cong( X, Y
% 2.86/3.26 , X, T ), cyclic( Y, Z, T, T ) }.
% 2.86/3.26 substitution0:
% 2.86/3.26 X := X
% 2.86/3.26 Y := Y
% 2.86/3.26 Z := Z
% 2.86/3.26 T := T
% 2.86/3.26 end
% 2.86/3.26 permutation0:
% 2.86/3.26 0 ==> 0
% 2.86/3.26 1 ==> 1
% 2.86/3.26 2 ==> 2
% 2.86/3.26 end
% 2.86/3.26
% 2.86/3.26 factor: (20829) {G1,W10,D2,L2,V3,M2} { ! cong( X, Y, X, Z ), cyclic( Y, Z
% 2.86/3.26 , Z, Z ) }.
% 2.86/3.26 parent0[0, 1]: (135) {G1,W15,D2,L3,V4,M3} F(12) { ! cong( X, Y, X, Z ), !
% 2.86/3.26 cong( X, Y, X, T ), cyclic( Y, Z, T, T ) }.
% 2.86/3.26 substitution0:
% 2.86/3.26 X := X
% 2.86/3.26 Y := Y
% 2.86/3.26 Z := Z
% 2.86/3.26 T := Z
% 2.86/3.26 end
% 2.86/3.26
% 2.86/3.26 subsumption: (136) {G2,W10,D2,L2,V3,M2} F(135) { ! cong( X, Y, X, Z ),
% 2.86/3.26 cyclic( Y, Z, Z, Z ) }.
% 2.86/3.26 parent0: (20829) {G1,W10,D2,L2,V3,M2} { ! cong( X, Y, X, Z ), cyclic( Y, Z
% 2.86/3.26 , Z, Z ) }.
% 2.86/3.26 substitution0:
% 2.86/3.26 X := X
% 2.86/3.26 Y := Y
% 2.86/3.26 Z := Z
% 2.86/3.26 end
% 2.86/3.26 permutation0:
% 2.86/3.26 0 ==> 0
% 2.86/3.26 1 ==> 1
% 2.86/3.26 end
% 2.86/3.26
% 2.86/3.26 factor: (20830) {G0,W10,D2,L2,V4,M2} { ! cyclic( X, Y, Z, T ), cyclic( Y,
% 2.86/3.26 Z, T, T ) }.
% 2.86/3.26 parent0[0, 1]: (16) {G0,W15,D2,L3,V5,M3} I { ! cyclic( U, X, Y, Z ), !
% 2.86/3.26 cyclic( U, X, Y, T ), cyclic( X, Y, Z, T ) }.
% 2.86/3.26 substitution0:
% 2.86/3.26 X := Y
% 2.86/3.26 Y := Z
% 2.86/3.26 Z := T
% 2.86/3.26 T := T
% 2.86/3.26 U := X
% 2.86/3.26 end
% 2.86/3.26
% 2.86/3.26 subsumption: (137) {G1,W10,D2,L2,V4,M2} F(16) { ! cyclic( X, Y, Z, T ),
% 2.86/3.26 cyclic( Y, Z, T, T ) }.
% 2.86/3.26 parent0: (20830) {G0,W10,D2,L2,V4,M2} { ! cyclic( X, Y, Z, T ), cyclic( Y
% 2.86/3.26 , Z, T, T ) }.
% 2.86/3.26 substitution0:
% 2.86/3.26 X := X
% 2.86/3.26 Y := Y
% 2.86/3.26 Z := Z
% 2.86/3.26 T := T
% 2.86/3.26 end
% 2.86/3.26 permutation0:
% 2.86/3.26 0 ==> 0
% 2.86/3.26 1 ==> 1
% 2.86/3.26 end
% 2.86/3.26
% 2.86/3.26 factor: (20833) {G0,W24,D2,L4,V5,M4} { ! cyclic( X, Y, Z, T ), ! cyclic( X
% 2.86/3.26 , Y, Z, U ), ! eqangle( Z, X, Z, Y, U, T, U, U ), cong( X, Y, T, U ) }.
% 2.86/3.26 parent0[1, 2]: (43) {G0,W29,D2,L5,V6,M5} I { ! cyclic( X, Y, U, Z ), !
% 2.86/3.26 cyclic( X, Y, U, T ), ! cyclic( X, Y, U, W ), ! eqangle( U, X, U, Y, W, Z
% 2.86/3.26 , W, T ), cong( X, Y, Z, T ) }.
% 2.86/3.26 substitution0:
% 2.86/3.26 X := X
% 2.86/3.26 Y := Y
% 2.86/3.26 Z := T
% 2.86/3.26 T := U
% 2.86/3.26 U := Z
% 2.86/3.26 W := U
% 2.86/3.26 end
% 2.86/3.26
% 2.86/3.26 subsumption: (140) {G1,W24,D2,L4,V5,M4} F(43) { ! cyclic( X, Y, Z, T ), !
% 2.86/3.26 cyclic( X, Y, Z, U ), ! eqangle( Z, X, Z, Y, U, T, U, U ), cong( X, Y, T
% 2.86/3.26 , U ) }.
% 2.86/3.26 parent0: (20833) {G0,W24,D2,L4,V5,M4} { ! cyclic( X, Y, Z, T ), ! cyclic(
% 2.86/3.26 X, Y, Z, U ), ! eqangle( Z, X, Z, Y, U, T, U, U ), cong( X, Y, T, U ) }.
% 2.86/3.26 substitution0:
% 2.86/3.26 X := X
% 2.86/3.26 Y := Y
% 2.86/3.26 Z := Z
% 2.86/3.26 T := T
% 2.86/3.26 U := U
% 2.86/3.26 end
% 2.86/3.26 permutation0:
% 2.86/3.26 0 ==> 0
% 2.86/3.26 1 ==> 1
% 2.86/3.26 2 ==> 2
% 2.86/3.26 3 ==> 3
% 2.86/3.26 end
% 2.86/3.26
% 2.86/3.26 factor: (20835) {G0,W10,D2,L2,V3,M2} { ! cong( X, Y, Z, Y ), perp( X, Z, Y
% 2.86/3.26 , Y ) }.
% 2.86/3.26 parent0[0, 1]: (56) {G0,W15,D2,L3,V4,M3} I { ! cong( X, Z, Y, Z ), ! cong(
% 2.86/3.26 X, T, Y, T ), perp( X, Y, Z, T ) }.
% 2.86/3.26 substitution0:
% 2.86/3.26 X := X
% 2.86/3.26 Y := Z
% 2.86/3.26 Z := Y
% 2.86/3.26 T := Y
% 2.86/3.26 end
% 2.86/3.26
% 2.86/3.26 subsumption: (142) {G1,W10,D2,L2,V3,M2} F(56) { ! cong( X, Y, Z, Y ), perp
% 2.86/3.26 ( X, Z, Y, Y ) }.
% 2.86/3.26 parent0: (20835) {G0,W10,D2,L2,V3,M2} { ! cong( X, Y, Z, Y ), perp( X, Z,
% 2.86/3.26 Y, Y ) }.
% 2.86/3.26 substitution0:
% 2.86/3.26 X := X
% 2.86/3.26 Y := Y
% 2.86/3.26 Z := Z
% 2.86/3.26 end
% 2.86/3.26 permutation0:
% 2.86/3.26 0 ==> 0
% 2.86/3.26 1 ==> 1
% 2.86/3.26 end
% 2.86/3.26
% 2.86/3.26 factor: (20836) {G0,W15,D2,L3,V3,M3} { ! cong( X, Y, Z, Y ), ! cyclic( X,
% 2.86/3.26 Z, Y, Y ), perp( Y, X, X, Y ) }.
% 2.86/3.26 parent0[0, 1]: (57) {G0,W20,D2,L4,V4,M4} I { ! cong( X, Y, T, Y ), ! cong(
% 2.86/3.26 X, Z, T, Z ), ! cyclic( X, T, Y, Z ), perp( Y, X, X, Z ) }.
% 2.86/3.26 substitution0:
% 2.86/3.26 X := X
% 2.86/3.26 Y := Y
% 2.86/3.26 Z := Y
% 2.86/3.26 T := Z
% 2.86/3.26 end
% 2.86/3.26
% 2.86/3.26 subsumption: (143) {G1,W15,D2,L3,V3,M3} F(57) { ! cong( X, Y, Z, Y ), !
% 2.86/3.26 cyclic( X, Z, Y, Y ), perp( Y, X, X, Y ) }.
% 2.86/3.26 parent0: (20836) {G0,W15,D2,L3,V3,M3} { ! cong( X, Y, Z, Y ), ! cyclic( X
% 2.86/3.26 , Z, Y, Y ), perp( Y, X, X, Y ) }.
% 2.86/3.26 substitution0:
% 2.86/3.26 X := X
% 2.86/3.26 Y := Y
% 2.86/3.26 Z := Z
% 2.86/3.26 end
% 2.86/3.26 permutation0:
% 2.86/3.26 0 ==> 0
% 2.86/3.26 1 ==> 1
% 2.86/3.26 2 ==> 2
% 2.86/3.26 end
% 2.86/3.26
% 2.86/3.26 factor: (20837) {G0,W9,D2,L2,V3,M2} { ! midp( X, Y, Z ), para( Y, Y, Z, Z
% 2.86/3.26 ) }.
% 2.86/3.26 parent0[0, 1]: (63) {G0,W13,D2,L3,V5,M3} I { ! midp( U, X, Y ), ! midp( U,
% 2.86/3.26 Z, T ), para( X, Z, Y, T ) }.
% 2.86/3.26 substitution0:
% 2.86/3.26 X := Y
% 2.86/3.26 Y := Z
% 2.86/3.26 Z := Y
% 2.86/3.26 T := Z
% 2.86/3.26 U := X
% 2.86/3.26 end
% 2.86/3.26
% 2.86/3.26 subsumption: (145) {G1,W9,D2,L2,V3,M2} F(63) { ! midp( X, Y, Z ), para( Y,
% 2.86/3.26 Y, Z, Z ) }.
% 2.86/3.26 parent0: (20837) {G0,W9,D2,L2,V3,M2} { ! midp( X, Y, Z ), para( Y, Y, Z, Z
% 2.86/3.26 ) }.
% 2.86/3.26 substitution0:
% 2.86/3.26 X := X
% 2.86/3.26 Y := Y
% 2.86/3.26 Z := Z
% 2.86/3.26 end
% 2.86/3.26 permutation0:
% 2.86/3.26 0 ==> 0
% 2.86/3.26 1 ==> 1
% 2.86/3.26 end
% 2.86/3.26
% 2.86/3.26 factor: (20838) {G0,W13,D2,L3,V4,M3} { ! midp( X, Y, Z ), ! para( Y, T, Z
% 2.86/3.26 , T ), midp( X, T, T ) }.
% 2.86/3.26 parent0[1, 2]: (64) {G0,W18,D2,L4,V5,M4} I { ! midp( Z, T, U ), ! para( T,
% 2.86/3.26 X, U, Y ), ! para( T, Y, U, X ), midp( Z, X, Y ) }.
% 2.86/3.26 substitution0:
% 2.86/3.26 X := T
% 2.86/3.26 Y := T
% 2.86/3.26 Z := X
% 2.86/3.26 T := Y
% 2.86/3.26 U := Z
% 2.86/3.26 end
% 2.86/3.26
% 2.86/3.26 subsumption: (146) {G1,W13,D2,L3,V4,M3} F(64) { ! midp( X, Y, Z ), ! para(
% 2.86/3.26 Y, T, Z, T ), midp( X, T, T ) }.
% 2.86/3.26 parent0: (20838) {G0,W13,D2,L3,V4,M3} { ! midp( X, Y, Z ), ! para( Y, T, Z
% 2.86/3.26 , T ), midp( X, T, T ) }.
% 2.86/3.26 substitution0:
% 2.86/3.26 X := X
% 2.86/3.26 Y := Y
% 2.86/3.26 Z := Z
% 2.86/3.26 T := T
% 2.86/3.26 end
% 2.86/3.26 permutation0:
% 2.86/3.26 0 ==> 0
% 2.86/3.26 1 ==> 1
% 2.86/3.26 2 ==> 2
% 2.86/3.26 end
% 2.86/3.26
% 2.86/3.26 factor: (20839) {G0,W18,D3,L4,V4,M4} { ! midp( X, Y, Z ), ! coll( Y, Y, Z
% 2.86/3.26 ), ! coll( Z, Y, Z ), midp( skol7( Y, T ), Y, T ) }.
% 2.86/3.26 parent0[0, 1]: (88) {G0,W22,D3,L5,V7,M5} I { ! midp( Z, X, Y ), ! midp( W,
% 2.86/3.26 T, U ), ! coll( T, X, Y ), ! coll( U, X, Y ), midp( skol7( X, V0 ), X, V0
% 2.86/3.26 ) }.
% 2.86/3.26 substitution0:
% 2.86/3.26 X := Y
% 2.86/3.26 Y := Z
% 2.86/3.26 Z := X
% 2.86/3.26 T := Y
% 2.86/3.26 U := Z
% 2.86/3.26 W := X
% 2.86/3.26 V0 := T
% 2.86/3.26 end
% 2.86/3.26
% 2.86/3.26 subsumption: (152) {G1,W18,D3,L4,V4,M4} F(88) { ! midp( X, Y, Z ), ! coll(
% 2.86/3.26 Y, Y, Z ), ! coll( Z, Y, Z ), midp( skol7( Y, T ), Y, T ) }.
% 2.86/3.26 parent0: (20839) {G0,W18,D3,L4,V4,M4} { ! midp( X, Y, Z ), ! coll( Y, Y, Z
% 2.86/3.26 ), ! coll( Z, Y, Z ), midp( skol7( Y, T ), Y, T ) }.
% 2.86/3.26 substitution0:
% 2.86/3.26 X := X
% 2.86/3.26 Y := Y
% 2.86/3.26 Z := Z
% 2.86/3.26 T := T
% 2.86/3.26 end
% 2.86/3.26 permutation0:
% 2.86/3.26 0 ==> 0
% 2.86/3.26 1 ==> 1
% 2.86/3.26 2 ==> 2
% 2.86/3.26 3 ==> 3
% 2.86/3.26 end
% 2.86/3.26
% 2.86/3.26 factor: (20842) {G0,W13,D3,L2,V3,M2} { ! perp( X, Y, X, Z ), perp( X,
% 2.86/3.26 skol10( X, X, Z ), Z, X ) }.
% 2.86/3.26 parent0[0, 1]: (95) {G0,W18,D3,L3,V4,M3} I { ! perp( X, T, Y, Z ), ! perp(
% 2.86/3.26 Y, T, X, Z ), perp( X, skol10( X, Y, Z ), Z, Y ) }.
% 2.86/3.26 substitution0:
% 2.86/3.26 X := X
% 2.86/3.26 Y := X
% 2.86/3.26 Z := Z
% 2.86/3.26 T := Y
% 2.86/3.26 end
% 2.86/3.26
% 2.86/3.26 subsumption: (158) {G1,W13,D3,L2,V3,M2} F(95) { ! perp( X, Y, X, Z ), perp
% 2.86/3.26 ( X, skol10( X, X, Z ), Z, X ) }.
% 2.86/3.26 parent0: (20842) {G0,W13,D3,L2,V3,M2} { ! perp( X, Y, X, Z ), perp( X,
% 2.86/3.26 skol10( X, X, Z ), Z, X ) }.
% 2.86/3.26 substitution0:
% 2.86/3.26 X := X
% 2.86/3.26 Y := Y
% 2.86/3.26 Z := Z
% 2.86/3.26 end
% 2.86/3.26 permutation0:
% 2.86/3.26 0 ==> 0
% 2.86/3.26 1 ==> 1
% 2.86/3.26 end
% 2.86/3.26
% 2.86/3.26 resolution: (20843) {G1,W8,D2,L2,V3,M2} { coll( Y, X, Z ), ! coll( X, Z, Y
% 2.86/3.26 ) }.
% 2.86/3.26 parent0[0]: (1) {G0,W8,D2,L2,V3,M2} I { ! coll( X, Y, Z ), coll( Y, X, Z )
% 2.86/3.26 }.
% 2.86/3.26 parent1[1]: (0) {G0,W8,D2,L2,V3,M2} I { ! coll( X, Y, Z ), coll( X, Z, Y )
% 2.86/3.26 }.
% 2.86/3.26 substitution0:
% 2.86/3.26 X := X
% 2.86/3.26 Y := Y
% 2.86/3.26 Z := Z
% 2.86/3.26 end
% 2.86/3.26 substitution1:
% 2.86/3.26 X := X
% 2.86/3.26 Y := Z
% 2.86/3.26 Z := Y
% 2.86/3.26 end
% 2.86/3.26
% 2.86/3.26 subsumption: (176) {G1,W8,D2,L2,V3,M2} R(1,0) { coll( X, Y, Z ), ! coll( Y
% 2.86/3.26 , Z, X ) }.
% 2.86/3.26 parent0: (20843) {G1,W8,D2,L2,V3,M2} { coll( Y, X, Z ), ! coll( X, Z, Y )
% 2.86/3.26 }.
% 2.86/3.26 substitution0:
% 2.86/3.26 X := Y
% 2.86/3.26 Y := X
% 2.86/3.26 Z := Z
% 2.86/3.26 end
% 2.86/3.26 permutation0:
% 2.86/3.26 0 ==> 0
% 2.86/3.26 1 ==> 1
% 2.86/3.26 end
% 2.86/3.26
% 2.86/3.26 resolution: (20845) {G1,W8,D2,L2,V3,M2} { coll( X, Z, Y ), ! coll( Y, X, Z
% 2.86/3.26 ) }.
% 2.86/3.26 parent0[0]: (0) {G0,W8,D2,L2,V3,M2} I { ! coll( X, Y, Z ), coll( X, Z, Y )
% 2.86/3.26 }.
% 2.86/3.26 parent1[1]: (1) {G0,W8,D2,L2,V3,M2} I { ! coll( X, Y, Z ), coll( Y, X, Z )
% 2.86/3.26 }.
% 2.86/3.26 substitution0:
% 2.86/3.26 X := X
% 2.86/3.26 Y := Y
% 2.86/3.26 Z := Z
% 2.86/3.26 end
% 2.86/3.26 substitution1:
% 2.86/3.26 X := Y
% 2.86/3.26 Y := X
% 2.86/3.26 Z := Z
% 2.86/3.26 end
% 2.86/3.26
% 2.86/3.26 subsumption: (177) {G1,W8,D2,L2,V3,M2} R(1,0) { ! coll( X, Y, Z ), coll( Y
% 2.86/3.26 , Z, X ) }.
% 2.86/3.26 parent0: (20845) {G1,W8,D2,L2,V3,M2} { coll( X, Z, Y ), ! coll( Y, X, Z )
% 2.86/3.26 }.
% 2.86/3.26 substitution0:
% 2.86/3.26 X := Y
% 2.86/3.26 Y := X
% 2.86/3.26 Z := Z
% 2.86/3.26 end
% 2.86/3.26 permutation0:
% 2.86/3.26 0 ==> 1
% 2.86/3.26 1 ==> 0
% 2.86/3.26 end
% 2.86/3.26
% 2.86/3.26 resolution: (20849) {G1,W12,D2,L3,V4,M3} { coll( X, Z, Y ), ! coll( Z, T,
% 2.86/3.26 X ), ! coll( Z, T, Y ) }.
% 2.86/3.26 parent0[0]: (0) {G0,W8,D2,L2,V3,M2} I { ! coll( X, Y, Z ), coll( X, Z, Y )
% 2.86/3.26 }.
% 2.86/3.26 parent1[2]: (2) {G0,W12,D2,L3,V4,M3} I { ! coll( X, T, Y ), ! coll( X, T, Z
% 2.86/3.26 ), coll( Y, Z, X ) }.
% 2.86/3.26 substitution0:
% 2.86/3.26 X := X
% 2.86/3.26 Y := Y
% 2.86/3.26 Z := Z
% 2.86/3.26 end
% 2.86/3.26 substitution1:
% 2.86/3.26 X := Z
% 2.86/3.26 Y := X
% 2.86/3.26 Z := Y
% 2.86/3.26 T := T
% 2.86/3.26 end
% 2.86/3.26
% 2.86/3.26 subsumption: (208) {G1,W12,D2,L3,V4,M3} R(2,0) { ! coll( X, Y, Z ), ! coll
% 2.86/3.26 ( X, Y, T ), coll( Z, X, T ) }.
% 2.86/3.26 parent0: (20849) {G1,W12,D2,L3,V4,M3} { coll( X, Z, Y ), ! coll( Z, T, X )
% 2.86/3.26 , ! coll( Z, T, Y ) }.
% 2.86/3.26 substitution0:
% 2.86/3.26 X := Z
% 2.86/3.26 Y := T
% 2.86/3.26 Z := X
% 2.86/3.26 T := Y
% 2.86/3.26 end
% 2.86/3.26 permutation0:
% 2.86/3.26 0 ==> 2
% 2.86/3.26 1 ==> 0
% 2.86/3.26 2 ==> 1
% 2.86/3.26 end
% 2.86/3.26
% 2.86/3.26 factor: (20851) {G1,W8,D2,L2,V3,M2} { ! coll( X, Y, Z ), coll( Z, X, Z )
% 2.86/3.26 }.
% 2.86/3.26 parent0[0, 1]: (208) {G1,W12,D2,L3,V4,M3} R(2,0) { ! coll( X, Y, Z ), !
% 2.86/3.26 coll( X, Y, T ), coll( Z, X, T ) }.
% 2.86/3.26 substitution0:
% 2.86/3.26 X := X
% 2.86/3.26 Y := Y
% 2.86/3.26 Z := Z
% 2.86/3.26 T := Z
% 2.86/3.26 end
% 2.86/3.26
% 2.86/3.26 subsumption: (219) {G2,W8,D2,L2,V3,M2} F(208) { ! coll( X, Y, Z ), coll( Z
% 2.86/3.26 , X, Z ) }.
% 2.86/3.26 parent0: (20851) {G1,W8,D2,L2,V3,M2} { ! coll( X, Y, Z ), coll( Z, X, Z )
% 2.86/3.26 }.
% 2.86/3.26 substitution0:
% 2.86/3.26 X := X
% 2.86/3.26 Y := Y
% 2.86/3.26 Z := Z
% 2.86/3.26 end
% 2.86/3.26 permutation0:
% 2.86/3.26 0 ==> 0
% 2.86/3.26 1 ==> 1
% 2.86/3.26 end
% 2.86/3.26
% 2.86/3.26 resolution: (20853) {G1,W10,D2,L2,V4,M2} { para( X, Y, T, Z ), ! para( Z,
% 2.86/3.26 T, X, Y ) }.
% 2.86/3.26 parent0[0]: (3) {G0,W10,D2,L2,V4,M2} I { ! para( X, Y, Z, T ), para( X, Y,
% 2.86/3.26 T, Z ) }.
% 2.86/3.26 parent1[1]: (4) {G0,W10,D2,L2,V4,M2} I { ! para( X, Y, Z, T ), para( Z, T,
% 2.86/3.26 X, Y ) }.
% 2.86/3.26 substitution0:
% 2.86/3.26 X := X
% 2.86/3.26 Y := Y
% 2.86/3.26 Z := Z
% 2.86/3.26 T := T
% 2.86/3.26 end
% 2.86/3.26 substitution1:
% 2.86/3.26 X := Z
% 2.86/3.26 Y := T
% 2.86/3.26 Z := X
% 2.86/3.26 T := Y
% 2.86/3.26 end
% 2.86/3.26
% 2.86/3.26 subsumption: (244) {G1,W10,D2,L2,V4,M2} R(4,3) { ! para( X, Y, Z, T ), para
% 2.86/3.26 ( Z, T, Y, X ) }.
% 2.86/3.26 parent0: (20853) {G1,W10,D2,L2,V4,M2} { para( X, Y, T, Z ), ! para( Z, T,
% 2.86/3.26 X, Y ) }.
% 2.86/3.26 substitution0:
% 2.86/3.26 X := Z
% 2.86/3.26 Y := T
% 2.86/3.26 Z := X
% 2.86/3.26 T := Y
% 2.86/3.26 end
% 2.86/3.26 permutation0:
% 2.86/3.26 0 ==> 1
% 2.86/3.26 1 ==> 0
% 2.86/3.26 end
% 2.86/3.26
% 2.86/3.26 resolution: (20855) {G1,W15,D2,L3,V6,M3} { ! para( X, Y, Z, T ), para( X,
% 2.86/3.26 Y, U, W ), ! para( U, W, Z, T ) }.
% 2.86/3.26 parent0[1]: (5) {G0,W15,D2,L3,V6,M3} I { ! para( X, Y, U, W ), ! para( U, W
% 2.86/3.26 , Z, T ), para( X, Y, Z, T ) }.
% 2.86/3.26 parent1[1]: (4) {G0,W10,D2,L2,V4,M2} I { ! para( X, Y, Z, T ), para( Z, T,
% 2.86/3.26 X, Y ) }.
% 2.86/3.26 substitution0:
% 2.86/3.26 X := X
% 2.86/3.26 Y := Y
% 2.86/3.26 Z := U
% 2.86/3.26 T := W
% 2.86/3.26 U := Z
% 2.86/3.26 W := T
% 2.86/3.26 end
% 2.86/3.26 substitution1:
% 2.86/3.26 X := U
% 2.86/3.26 Y := W
% 2.86/3.26 Z := Z
% 2.86/3.26 T := T
% 2.86/3.26 end
% 2.86/3.26
% 2.86/3.26 subsumption: (255) {G1,W15,D2,L3,V6,M3} R(5,4) { ! para( X, Y, Z, T ), para
% 2.86/3.26 ( X, Y, U, W ), ! para( U, W, Z, T ) }.
% 2.86/3.26 parent0: (20855) {G1,W15,D2,L3,V6,M3} { ! para( X, Y, Z, T ), para( X, Y,
% 2.86/3.26 U, W ), ! para( U, W, Z, T ) }.
% 2.86/3.26 substitution0:
% 2.86/3.26 X := X
% 2.86/3.26 Y := Y
% 2.86/3.26 Z := Z
% 2.86/3.26 T := T
% 2.86/3.26 U := U
% 2.86/3.26 W := W
% 2.86/3.26 end
% 2.86/3.26 permutation0:
% 2.86/3.26 0 ==> 0
% 2.86/3.26 1 ==> 1
% 2.86/3.26 2 ==> 2
% 2.86/3.26 end
% 2.86/3.26
% 2.86/3.26 factor: (20858) {G1,W10,D2,L2,V4,M2} { ! para( X, Y, Z, T ), para( X, Y, X
% 2.86/3.26 , Y ) }.
% 2.86/3.26 parent0[0, 2]: (255) {G1,W15,D2,L3,V6,M3} R(5,4) { ! para( X, Y, Z, T ),
% 2.86/3.26 para( X, Y, U, W ), ! para( U, W, Z, T ) }.
% 2.86/3.26 substitution0:
% 2.86/3.26 X := X
% 2.86/3.26 Y := Y
% 2.86/3.26 Z := Z
% 2.86/3.26 T := T
% 2.86/3.26 U := X
% 2.86/3.26 W := Y
% 2.86/3.26 end
% 2.86/3.26
% 2.86/3.26 subsumption: (259) {G2,W10,D2,L2,V4,M2} F(255) { ! para( X, Y, Z, T ), para
% 2.86/3.26 ( X, Y, X, Y ) }.
% 2.86/3.26 parent0: (20858) {G1,W10,D2,L2,V4,M2} { ! para( X, Y, Z, T ), para( X, Y,
% 2.86/3.26 X, Y ) }.
% 2.86/3.26 substitution0:
% 2.86/3.26 X := X
% 2.86/3.26 Y := Y
% 2.86/3.26 Z := Z
% 2.86/3.26 T := T
% 2.86/3.26 end
% 2.86/3.26 permutation0:
% 2.86/3.26 0 ==> 0
% 2.86/3.26 1 ==> 1
% 2.86/3.26 end
% 2.86/3.26
% 2.86/3.26 resolution: (20859) {G1,W10,D2,L2,V4,M2} { perp( Z, T, X, Y ), ! perp( X,
% 2.86/3.26 Y, T, Z ) }.
% 2.86/3.26 parent0[0]: (7) {G0,W10,D2,L2,V4,M2} I { ! perp( X, Y, Z, T ), perp( Z, T,
% 2.86/3.26 X, Y ) }.
% 2.86/3.26 parent1[1]: (6) {G0,W10,D2,L2,V4,M2} I { ! perp( X, Y, Z, T ), perp( X, Y,
% 2.86/3.26 T, Z ) }.
% 2.86/3.26 substitution0:
% 2.86/3.26 X := X
% 2.86/3.26 Y := Y
% 2.86/3.26 Z := Z
% 2.86/3.26 T := T
% 2.86/3.26 end
% 2.86/3.26 substitution1:
% 2.86/3.26 X := X
% 2.86/3.26 Y := Y
% 2.86/3.26 Z := T
% 2.86/3.26 T := Z
% 2.86/3.26 end
% 2.86/3.26
% 2.86/3.26 subsumption: (284) {G1,W10,D2,L2,V4,M2} R(7,6) { perp( X, Y, Z, T ), ! perp
% 2.86/3.26 ( Z, T, Y, X ) }.
% 2.86/3.26 parent0: (20859) {G1,W10,D2,L2,V4,M2} { perp( Z, T, X, Y ), ! perp( X, Y,
% 2.86/3.26 T, Z ) }.
% 2.86/3.26 substitution0:
% 2.86/3.26 X := Z
% 2.86/3.26 Y := T
% 2.86/3.26 Z := X
% 2.86/3.26 T := Y
% 2.86/3.26 end
% 2.86/3.26 permutation0:
% 2.86/3.26 0 ==> 0
% 2.86/3.26 1 ==> 1
% 2.86/3.26 end
% 2.86/3.26
% 2.86/3.26 resolution: (20861) {G1,W10,D2,L2,V4,M2} { perp( X, Y, T, Z ), ! perp( Z,
% 2.86/3.26 T, X, Y ) }.
% 2.86/3.26 parent0[0]: (6) {G0,W10,D2,L2,V4,M2} I { ! perp( X, Y, Z, T ), perp( X, Y,
% 2.86/3.26 T, Z ) }.
% 2.86/3.26 parent1[1]: (7) {G0,W10,D2,L2,V4,M2} I { ! perp( X, Y, Z, T ), perp( Z, T,
% 2.86/3.26 X, Y ) }.
% 2.86/3.26 substitution0:
% 2.86/3.26 X := X
% 2.86/3.26 Y := Y
% 2.86/3.26 Z := Z
% 2.86/3.26 T := T
% 2.86/3.26 end
% 2.86/3.26 substitution1:
% 2.86/3.26 X := Z
% 2.86/3.26 Y := T
% 2.86/3.26 Z := X
% 2.86/3.26 T := Y
% 2.86/3.26 end
% 2.86/3.26
% 2.86/3.26 subsumption: (285) {G1,W10,D2,L2,V4,M2} R(7,6) { ! perp( X, Y, Z, T ), perp
% 2.86/3.26 ( Z, T, Y, X ) }.
% 2.86/3.26 parent0: (20861) {G1,W10,D2,L2,V4,M2} { perp( X, Y, T, Z ), ! perp( Z, T,
% 2.86/3.26 X, Y ) }.
% 2.86/3.26 substitution0:
% 2.86/3.26 X := Z
% 2.86/3.26 Y := T
% 2.86/3.26 Z := X
% 2.86/3.26 T := Y
% 2.86/3.26 end
% 2.86/3.26 permutation0:
% 2.86/3.26 0 ==> 1
% 2.86/3.26 1 ==> 0
% 2.86/3.26 end
% 2.86/3.26
% 2.86/3.26 resolution: (20863) {G1,W15,D2,L3,V6,M3} { ! perp( X, Y, Z, T ), para( X,
% 2.86/3.26 Y, U, W ), ! perp( U, W, Z, T ) }.
% 2.86/3.26 parent0[1]: (8) {G0,W15,D2,L3,V6,M3} I { ! perp( X, Y, U, W ), ! perp( U, W
% 2.86/3.26 , Z, T ), para( X, Y, Z, T ) }.
% 2.86/3.26 parent1[1]: (7) {G0,W10,D2,L2,V4,M2} I { ! perp( X, Y, Z, T ), perp( Z, T,
% 2.86/3.26 X, Y ) }.
% 2.86/3.26 substitution0:
% 2.86/3.26 X := X
% 2.86/3.26 Y := Y
% 2.86/3.26 Z := U
% 2.86/3.26 T := W
% 2.86/3.26 U := Z
% 2.86/3.26 W := T
% 2.86/3.26 end
% 2.86/3.26 substitution1:
% 2.86/3.26 X := U
% 2.86/3.26 Y := W
% 2.86/3.26 Z := Z
% 2.86/3.26 T := T
% 2.86/3.26 end
% 2.86/3.26
% 2.86/3.26 subsumption: (294) {G1,W15,D2,L3,V6,M3} R(8,7) { ! perp( X, Y, Z, T ), para
% 2.86/3.26 ( X, Y, U, W ), ! perp( U, W, Z, T ) }.
% 2.86/3.26 parent0: (20863) {G1,W15,D2,L3,V6,M3} { ! perp( X, Y, Z, T ), para( X, Y,
% 2.86/3.26 U, W ), ! perp( U, W, Z, T ) }.
% 2.86/3.26 substitution0:
% 2.86/3.26 X := X
% 2.86/3.26 Y := Y
% 2.86/3.26 Z := Z
% 2.86/3.26 T := T
% 2.86/3.26 U := U
% 2.86/3.26 W := W
% 2.86/3.26 end
% 2.86/3.26 permutation0:
% 2.86/3.26 0 ==> 0
% 2.86/3.26 1 ==> 1
% 2.86/3.26 2 ==> 2
% 2.86/3.26 end
% 2.86/3.26
% 2.86/3.26 resolution: (20866) {G1,W15,D2,L3,V6,M3} { ! perp( Z, T, U, W ), para( X,
% 2.86/3.26 Y, U, W ), ! perp( X, Y, T, Z ) }.
% 2.86/3.26 parent0[0]: (8) {G0,W15,D2,L3,V6,M3} I { ! perp( X, Y, U, W ), ! perp( U, W
% 2.86/3.26 , Z, T ), para( X, Y, Z, T ) }.
% 2.86/3.26 parent1[1]: (6) {G0,W10,D2,L2,V4,M2} I { ! perp( X, Y, Z, T ), perp( X, Y,
% 2.86/3.26 T, Z ) }.
% 2.86/3.26 substitution0:
% 2.86/3.26 X := X
% 2.86/3.26 Y := Y
% 2.86/3.26 Z := U
% 2.86/3.26 T := W
% 2.86/3.26 U := Z
% 2.86/3.26 W := T
% 2.86/3.26 end
% 2.86/3.26 substitution1:
% 2.86/3.26 X := X
% 2.86/3.26 Y := Y
% 2.86/3.26 Z := T
% 2.86/3.26 T := Z
% 2.86/3.26 end
% 2.86/3.26
% 2.86/3.26 subsumption: (295) {G1,W15,D2,L3,V6,M3} R(8,6) { ! perp( X, Y, Z, T ), para
% 2.86/3.26 ( U, W, Z, T ), ! perp( U, W, Y, X ) }.
% 2.86/3.26 parent0: (20866) {G1,W15,D2,L3,V6,M3} { ! perp( Z, T, U, W ), para( X, Y,
% 2.86/3.26 U, W ), ! perp( X, Y, T, Z ) }.
% 2.86/3.26 substitution0:
% 2.86/3.26 X := U
% 2.86/3.26 Y := W
% 2.86/3.26 Z := X
% 2.86/3.26 T := Y
% 2.86/3.26 U := Z
% 2.86/3.26 W := T
% 2.86/3.26 end
% 2.86/3.26 permutation0:
% 2.86/3.26 0 ==> 0
% 2.86/3.26 1 ==> 1
% 2.86/3.26 2 ==> 2
% 2.86/3.26 end
% 2.86/3.26
% 2.86/3.26 resolution: (20870) {G1,W15,D2,L3,V6,M3} { para( Z, T, X, Y ), ! perp( X,
% 2.86/3.26 Y, U, W ), ! perp( U, W, Z, T ) }.
% 2.86/3.26 parent0[0]: (4) {G0,W10,D2,L2,V4,M2} I { ! para( X, Y, Z, T ), para( Z, T,
% 2.86/3.26 X, Y ) }.
% 2.86/3.26 parent1[2]: (8) {G0,W15,D2,L3,V6,M3} I { ! perp( X, Y, U, W ), ! perp( U, W
% 2.86/3.26 , Z, T ), para( X, Y, Z, T ) }.
% 2.86/3.26 substitution0:
% 2.86/3.26 X := X
% 2.86/3.26 Y := Y
% 2.86/3.26 Z := Z
% 2.86/3.26 T := T
% 2.86/3.26 end
% 2.86/3.26 substitution1:
% 2.86/3.26 X := X
% 2.86/3.26 Y := Y
% 2.86/3.26 Z := Z
% 2.86/3.26 T := T
% 2.86/3.26 U := U
% 2.86/3.26 W := W
% 2.86/3.26 end
% 2.86/3.26
% 2.86/3.26 subsumption: (299) {G1,W15,D2,L3,V6,M3} R(8,4) { ! perp( X, Y, Z, T ), !
% 2.86/3.26 perp( Z, T, U, W ), para( U, W, X, Y ) }.
% 2.86/3.26 parent0: (20870) {G1,W15,D2,L3,V6,M3} { para( Z, T, X, Y ), ! perp( X, Y,
% 2.86/3.26 U, W ), ! perp( U, W, Z, T ) }.
% 2.86/3.26 substitution0:
% 2.86/3.26 X := X
% 2.86/3.26 Y := Y
% 2.86/3.26 Z := U
% 2.86/3.26 T := W
% 2.86/3.26 U := Z
% 2.86/3.26 W := T
% 2.86/3.26 end
% 2.86/3.26 permutation0:
% 2.86/3.26 0 ==> 2
% 2.86/3.26 1 ==> 0
% 2.86/3.26 2 ==> 1
% 2.86/3.26 end
% 2.86/3.26
% 2.86/3.26 factor: (20872) {G1,W10,D2,L2,V4,M2} { ! perp( X, Y, Z, T ), para( X, Y, X
% 2.86/3.26 , Y ) }.
% 2.86/3.26 parent0[0, 2]: (294) {G1,W15,D2,L3,V6,M3} R(8,7) { ! perp( X, Y, Z, T ),
% 2.86/3.26 para( X, Y, U, W ), ! perp( U, W, Z, T ) }.
% 2.86/3.26 substitution0:
% 2.86/3.26 X := X
% 2.86/3.26 Y := Y
% 2.86/3.26 Z := Z
% 2.86/3.26 T := T
% 2.86/3.26 U := X
% 2.86/3.26 W := Y
% 2.86/3.26 end
% 2.86/3.26
% 2.86/3.26 subsumption: (302) {G2,W10,D2,L2,V4,M2} F(294) { ! perp( X, Y, Z, T ), para
% 2.86/3.26 ( X, Y, X, Y ) }.
% 2.86/3.26 parent0: (20872) {G1,W10,D2,L2,V4,M2} { ! perp( X, Y, Z, T ), para( X, Y,
% 2.86/3.26 X, Y ) }.
% 2.86/3.26 substitution0:
% 2.86/3.26 X := X
% 2.86/3.26 Y := Y
% 2.86/3.26 Z := Z
% 2.86/3.26 T := T
% 2.86/3.26 end
% 2.86/3.26 permutation0:
% 2.86/3.26 0 ==> 0
% 2.86/3.26 1 ==> 1
% 2.86/3.26 end
% 2.86/3.26
% 2.86/3.26 resolution: (20873) {G1,W5,D2,L1,V0,M1} { ! perp( skol20, skol22, skol23,
% 2.86/3.26 skol24 ) }.
% 2.86/3.26 parent0[0]: (129) {G0,W5,D2,L1,V0,M1} I { ! perp( skol23, skol24, skol20,
% 2.86/3.26 skol22 ) }.
% 2.86/3.26 parent1[1]: (7) {G0,W10,D2,L2,V4,M2} I { ! perp( X, Y, Z, T ), perp( Z, T,
% 2.86/3.26 X, Y ) }.
% 2.86/3.26 substitution0:
% 2.86/3.26 end
% 2.86/3.26 substitution1:
% 2.86/3.26 X := skol20
% 2.86/3.26 Y := skol22
% 2.86/3.26 Z := skol23
% 2.86/3.26 T := skol24
% 2.86/3.26 end
% 2.86/3.26
% 2.86/3.26 subsumption: (304) {G1,W5,D2,L1,V0,M1} R(129,7) { ! perp( skol20, skol22,
% 2.86/3.26 skol23, skol24 ) }.
% 2.86/3.26 parent0: (20873) {G1,W5,D2,L1,V0,M1} { ! perp( skol20, skol22, skol23,
% 2.86/3.26 skol24 ) }.
% 2.86/3.26 substitution0:
% 2.86/3.26 end
% 2.86/3.26 permutation0:
% 2.86/3.26 0 ==> 0
% 2.86/3.26 end
% 2.86/3.26
% 2.86/3.26 resolution: (20874) {G1,W5,D2,L1,V0,M1} { ! perp( skol20, skol22, skol24,
% 2.86/3.26 skol23 ) }.
% 2.86/3.26 parent0[0]: (304) {G1,W5,D2,L1,V0,M1} R(129,7) { ! perp( skol20, skol22,
% 2.86/3.26 skol23, skol24 ) }.
% 2.86/3.26 parent1[1]: (6) {G0,W10,D2,L2,V4,M2} I { ! perp( X, Y, Z, T ), perp( X, Y,
% 2.86/3.26 T, Z ) }.
% 2.86/3.26 substitution0:
% 2.86/3.26 end
% 2.86/3.26 substitution1:
% 2.86/3.26 X := skol20
% 2.86/3.26 Y := skol22
% 2.86/3.26 Z := skol24
% 2.86/3.26 T := skol23
% 2.86/3.26 end
% 2.86/3.26
% 2.86/3.26 subsumption: (306) {G2,W5,D2,L1,V0,M1} R(304,6) { ! perp( skol20, skol22,
% 2.86/3.26 skol24, skol23 ) }.
% 2.86/3.26 parent0: (20874) {G1,W5,D2,L1,V0,M1} { ! perp( skol20, skol22, skol24,
% 2.86/3.26 skol23 ) }.
% 2.86/3.26 substitution0:
% 2.86/3.26 end
% 2.86/3.26 permutation0:
% 2.86/3.26 0 ==> 0
% 2.86/3.26 end
% 2.86/3.26
% 2.86/3.26 resolution: (20875) {G1,W5,D2,L1,V0,M1} { ! perp( skol24, skol23, skol20,
% 2.86/3.26 skol22 ) }.
% 2.86/3.26 parent0[0]: (306) {G2,W5,D2,L1,V0,M1} R(304,6) { ! perp( skol20, skol22,
% 2.86/3.26 skol24, skol23 ) }.
% 2.86/3.26 parent1[1]: (7) {G0,W10,D2,L2,V4,M2} I { ! perp( X, Y, Z, T ), perp( Z, T,
% 2.86/3.26 X, Y ) }.
% 2.86/3.26 substitution0:
% 2.86/3.26 end
% 2.86/3.26 substitution1:
% 2.86/3.26 X := skol24
% 2.86/3.26 Y := skol23
% 2.86/3.26 Z := skol20
% 2.86/3.26 T := skol22
% 2.86/3.26 end
% 2.86/3.26
% 2.86/3.26 subsumption: (307) {G3,W5,D2,L1,V0,M1} R(306,7) { ! perp( skol24, skol23,
% 2.86/3.26 skol20, skol22 ) }.
% 2.86/3.26 parent0: (20875) {G1,W5,D2,L1,V0,M1} { ! perp( skol24, skol23, skol20,
% 2.86/3.26 skol22 ) }.
% 2.86/3.26 substitution0:
% 2.86/3.26 end
% 2.86/3.26 permutation0:
% 2.86/3.26 0 ==> 0
% 2.86/3.26 end
% 2.86/3.26
% 2.86/3.26 resolution: (20876) {G1,W10,D2,L2,V2,M2} { ! para( skol24, skol23, X, Y )
% 2.86/3.26 , ! perp( X, Y, skol20, skol22 ) }.
% 2.86/3.26 parent0[0]: (307) {G3,W5,D2,L1,V0,M1} R(306,7) { ! perp( skol24, skol23,
% 2.86/3.26 skol20, skol22 ) }.
% 2.86/3.26 parent1[2]: (9) {G0,W15,D2,L3,V6,M3} I { ! para( X, Y, U, W ), ! perp( U, W
% 2.86/3.26 , Z, T ), perp( X, Y, Z, T ) }.
% 2.86/3.26 substitution0:
% 2.86/3.26 end
% 2.86/3.26 substitution1:
% 2.86/3.26 X := skol24
% 2.86/3.26 Y := skol23
% 2.86/3.26 Z := skol20
% 2.86/3.26 T := skol22
% 2.86/3.26 U := X
% 2.86/3.26 W := Y
% 2.86/3.26 end
% 2.86/3.26
% 2.86/3.26 subsumption: (310) {G4,W10,D2,L2,V2,M2} R(9,307) { ! para( skol24, skol23,
% 2.86/3.26 X, Y ), ! perp( X, Y, skol20, skol22 ) }.
% 2.86/3.26 parent0: (20876) {G1,W10,D2,L2,V2,M2} { ! para( skol24, skol23, X, Y ), !
% 2.86/3.26 perp( X, Y, skol20, skol22 ) }.
% 2.86/3.26 substitution0:
% 2.86/3.26 X := X
% 2.86/3.26 Y := Y
% 2.86/3.26 end
% 2.86/3.26 permutation0:
% 2.86/3.26 0 ==> 0
% 2.86/3.26 1 ==> 1
% 2.86/3.26 end
% 2.86/3.26
% 2.86/3.26 resolution: (20877) {G1,W15,D2,L3,V6,M3} { ! perp( Z, T, U, W ), perp( X,
% 2.86/3.26 Y, U, W ), ! para( X, Y, T, Z ) }.
% 2.86/3.26 parent0[0]: (9) {G0,W15,D2,L3,V6,M3} I { ! para( X, Y, U, W ), ! perp( U, W
% 2.86/3.26 , Z, T ), perp( X, Y, Z, T ) }.
% 2.86/3.26 parent1[1]: (3) {G0,W10,D2,L2,V4,M2} I { ! para( X, Y, Z, T ), para( X, Y,
% 2.86/3.26 T, Z ) }.
% 2.86/3.26 substitution0:
% 2.86/3.26 X := X
% 2.86/3.26 Y := Y
% 2.86/3.26 Z := U
% 2.86/3.26 T := W
% 2.86/3.26 U := Z
% 2.86/3.26 W := T
% 2.86/3.26 end
% 2.86/3.26 substitution1:
% 2.86/3.26 X := X
% 2.86/3.26 Y := Y
% 2.86/3.26 Z := T
% 2.86/3.26 T := Z
% 2.86/3.26 end
% 2.86/3.26
% 2.86/3.26 subsumption: (320) {G1,W15,D2,L3,V6,M3} R(9,3) { ! perp( X, Y, Z, T ), perp
% 2.86/3.26 ( U, W, Z, T ), ! para( U, W, Y, X ) }.
% 2.86/3.26 parent0: (20877) {G1,W15,D2,L3,V6,M3} { ! perp( Z, T, U, W ), perp( X, Y,
% 2.86/3.26 U, W ), ! para( X, Y, T, Z ) }.
% 2.86/3.26 substitution0:
% 2.86/3.26 X := U
% 2.86/3.26 Y := W
% 2.86/3.26 Z := X
% 2.86/3.26 T := Y
% 2.86/3.26 U := Z
% 2.86/3.26 W := T
% 2.86/3.26 end
% 2.86/3.26 permutation0:
% 2.86/3.26 0 ==> 0
% 2.86/3.26 1 ==> 1
% 2.86/3.26 2 ==> 2
% 2.86/3.26 end
% 2.86/3.26
% 2.86/3.26 resolution: (20878) {G1,W4,D2,L1,V0,M1} { midp( skol26, skol20, skol25 )
% 2.86/3.26 }.
% 2.86/3.26 parent0[0]: (10) {G0,W8,D2,L2,V3,M2} I { ! midp( Z, Y, X ), midp( Z, X, Y )
% 2.86/3.26 }.
% 2.86/3.26 parent1[0]: (116) {G0,W4,D2,L1,V0,M1} I { midp( skol26, skol25, skol20 )
% 2.86/3.26 }.
% 2.86/3.26 substitution0:
% 2.86/3.26 X := skol20
% 2.86/3.26 Y := skol25
% 2.86/3.26 Z := skol26
% 2.86/3.26 end
% 2.86/3.26 substitution1:
% 2.86/3.26 end
% 2.86/3.26
% 2.86/3.26 subsumption: (327) {G1,W4,D2,L1,V0,M1} R(10,116) { midp( skol26, skol20,
% 2.86/3.26 skol25 ) }.
% 2.86/3.26 parent0: (20878) {G1,W4,D2,L1,V0,M1} { midp( skol26, skol20, skol25 ) }.
% 2.86/3.26 substitution0:
% 2.86/3.26 end
% 2.86/3.26 permutation0:
% 2.86/3.26 0 ==> 0
% 2.86/3.26 end
% 2.86/3.26
% 2.86/3.26 resolution: (20879) {G1,W12,D2,L3,V4,M3} { coll( Z, X, Z ), ! coll( Z, T,
% 2.86/3.26 X ), ! coll( Z, T, Y ) }.
% 2.86/3.26 parent0[0]: (219) {G2,W8,D2,L2,V3,M2} F(208) { ! coll( X, Y, Z ), coll( Z,
% 2.86/3.26 X, Z ) }.
% 2.86/3.26 parent1[2]: (2) {G0,W12,D2,L3,V4,M3} I { ! coll( X, T, Y ), ! coll( X, T, Z
% 2.86/3.26 ), coll( Y, Z, X ) }.
% 2.86/3.26 substitution0:
% 2.86/3.26 X := X
% 2.86/3.26 Y := Y
% 2.86/3.26 Z := Z
% 2.86/3.26 end
% 2.86/3.26 substitution1:
% 2.86/3.26 X := Z
% 2.86/3.26 Y := X
% 2.86/3.26 Z := Y
% 2.86/3.26 T := T
% 2.86/3.26 end
% 2.86/3.26
% 2.86/3.26 subsumption: (350) {G3,W12,D2,L3,V4,M3} R(219,2) { coll( X, Y, X ), ! coll
% 2.86/3.26 ( X, Z, Y ), ! coll( X, Z, T ) }.
% 2.86/3.26 parent0: (20879) {G1,W12,D2,L3,V4,M3} { coll( Z, X, Z ), ! coll( Z, T, X )
% 2.86/3.26 , ! coll( Z, T, Y ) }.
% 2.86/3.26 substitution0:
% 2.86/3.26 X := Y
% 2.86/3.26 Y := Y
% 2.86/3.26 Z := X
% 2.86/3.26 T := Z
% 2.86/3.26 end
% 2.86/3.26 permutation0:
% 2.86/3.26 0 ==> 0
% 2.86/3.26 1 ==> 1
% 2.86/3.26 2 ==> 1
% 2.86/3.26 end
% 2.86/3.26
% 2.86/3.26 resolution: (20881) {G1,W8,D2,L2,V3,M2} { coll( Z, X, Z ), ! coll( Y, X, Z
% 2.86/3.26 ) }.
% 2.86/3.26 parent0[0]: (219) {G2,W8,D2,L2,V3,M2} F(208) { ! coll( X, Y, Z ), coll( Z,
% 2.86/3.26 X, Z ) }.
% 2.86/3.26 parent1[1]: (1) {G0,W8,D2,L2,V3,M2} I { ! coll( X, Y, Z ), coll( Y, X, Z )
% 2.86/3.26 }.
% 2.86/3.26 substitution0:
% 2.86/3.26 X := X
% 2.86/3.26 Y := Y
% 2.86/3.26 Z := Z
% 2.86/3.26 end
% 2.86/3.26 substitution1:
% 2.86/3.26 X := Y
% 2.86/3.26 Y := X
% 2.86/3.26 Z := Z
% 2.86/3.26 end
% 2.86/3.26
% 2.86/3.26 subsumption: (354) {G3,W8,D2,L2,V3,M2} R(219,1) { coll( X, Y, X ), ! coll(
% 2.86/3.26 Z, Y, X ) }.
% 2.86/3.26 parent0: (20881) {G1,W8,D2,L2,V3,M2} { coll( Z, X, Z ), ! coll( Y, X, Z )
% 2.86/3.26 }.
% 2.86/3.26 substitution0:
% 2.86/3.26 X := Y
% 2.86/3.26 Y := Z
% 2.86/3.26 Z := X
% 2.86/3.26 end
% 2.86/3.26 permutation0:
% 2.86/3.26 0 ==> 0
% 2.86/3.26 1 ==> 1
% 2.86/3.26 end
% 2.86/3.26
% 2.86/3.26 factor: (20882) {G3,W8,D2,L2,V3,M2} { coll( X, Y, X ), ! coll( X, Z, Y )
% 2.86/3.26 }.
% 2.86/3.26 parent0[1, 2]: (350) {G3,W12,D2,L3,V4,M3} R(219,2) { coll( X, Y, X ), !
% 2.86/3.26 coll( X, Z, Y ), ! coll( X, Z, T ) }.
% 2.86/3.26 substitution0:
% 2.86/3.26 X := X
% 2.86/3.26 Y := Y
% 2.86/3.26 Z := Z
% 2.86/3.26 T := Y
% 2.86/3.26 end
% 2.86/3.26
% 2.86/3.26 subsumption: (366) {G4,W8,D2,L2,V3,M2} F(350) { coll( X, Y, X ), ! coll( X
% 2.86/3.26 , Z, Y ) }.
% 2.86/3.26 parent0: (20882) {G3,W8,D2,L2,V3,M2} { coll( X, Y, X ), ! coll( X, Z, Y )
% 2.86/3.26 }.
% 2.86/3.26 substitution0:
% 2.86/3.26 X := X
% 2.86/3.26 Y := Y
% 2.86/3.26 Z := Z
% 2.86/3.26 end
% 2.86/3.26 permutation0:
% 2.86/3.26 0 ==> 0
% 2.86/3.26 1 ==> 1
% 2.86/3.26 end
% 2.86/3.26
% 2.86/3.26 resolution: (20883) {G1,W18,D2,L2,V8,M2} { eqangle( U, W, V0, V1, X, Y, Z
% 2.86/3.26 , T ), ! eqangle( Z, T, X, Y, V0, V1, U, W ) }.
% 2.86/3.26 parent0[0]: (19) {G0,W18,D2,L2,V8,M2} I { ! eqangle( X, Y, Z, T, U, W, V0,
% 2.86/3.26 V1 ), eqangle( U, W, V0, V1, X, Y, Z, T ) }.
% 2.86/3.26 parent1[1]: (18) {G0,W18,D2,L2,V8,M2} I { ! eqangle( X, Y, Z, T, U, W, V0,
% 2.86/3.26 V1 ), eqangle( Z, T, X, Y, V0, V1, U, W ) }.
% 2.86/3.26 substitution0:
% 2.86/3.26 X := X
% 2.86/3.26 Y := Y
% 2.86/3.26 Z := Z
% 2.86/3.26 T := T
% 2.86/3.26 U := U
% 2.86/3.26 W := W
% 2.86/3.26 V0 := V0
% 2.86/3.26 V1 := V1
% 2.86/3.26 end
% 2.86/3.26 substitution1:
% 2.86/3.26 X := Z
% 2.86/3.26 Y := T
% 2.86/3.26 Z := X
% 2.86/3.26 T := Y
% 2.86/3.26 U := V0
% 2.86/3.26 W := V1
% 2.86/3.26 V0 := U
% 2.86/3.26 V1 := W
% 2.86/3.26 end
% 2.86/3.26
% 2.86/3.26 subsumption: (447) {G1,W18,D2,L2,V8,M2} R(19,18) { eqangle( X, Y, Z, T, U,
% 2.86/3.26 W, V0, V1 ), ! eqangle( V0, V1, U, W, Z, T, X, Y ) }.
% 2.86/3.26 parent0: (20883) {G1,W18,D2,L2,V8,M2} { eqangle( U, W, V0, V1, X, Y, Z, T
% 2.86/3.26 ), ! eqangle( Z, T, X, Y, V0, V1, U, W ) }.
% 2.86/3.26 substitution0:
% 2.86/3.26 X := U
% 2.86/3.26 Y := W
% 2.86/3.26 Z := V0
% 2.86/3.26 T := V1
% 2.86/3.26 U := X
% 2.86/3.26 W := Y
% 2.86/3.26 V0 := Z
% 2.86/3.26 V1 := T
% 2.86/3.26 end
% 2.86/3.26 permutation0:
% 2.86/3.26 0 ==> 0
% 2.86/3.26 1 ==> 1
% 2.86/3.26 end
% 2.86/3.26
% 2.86/3.26 resolution: (20884) {G1,W18,D2,L2,V8,M2} { eqangle( U, W, V0, V1, X, Y, Z
% 2.86/3.26 , T ), ! eqangle( Y, X, Z, T, U, W, V0, V1 ) }.
% 2.86/3.26 parent0[0]: (19) {G0,W18,D2,L2,V8,M2} I { ! eqangle( X, Y, Z, T, U, W, V0,
% 2.86/3.26 V1 ), eqangle( U, W, V0, V1, X, Y, Z, T ) }.
% 2.86/3.26 parent1[1]: (17) {G0,W18,D2,L2,V8,M2} I { ! eqangle( X, Y, Z, T, U, W, V0,
% 2.86/3.26 V1 ), eqangle( Y, X, Z, T, U, W, V0, V1 ) }.
% 2.86/3.26 substitution0:
% 2.86/3.26 X := X
% 2.86/3.26 Y := Y
% 2.86/3.26 Z := Z
% 2.86/3.26 T := T
% 2.86/3.26 U := U
% 2.86/3.26 W := W
% 2.86/3.26 V0 := V0
% 2.86/3.26 V1 := V1
% 2.86/3.26 end
% 2.86/3.26 substitution1:
% 2.86/3.26 X := Y
% 2.86/3.26 Y := X
% 2.86/3.26 Z := Z
% 2.86/3.26 T := T
% 2.86/3.26 U := U
% 2.86/3.26 W := W
% 2.86/3.26 V0 := V0
% 2.86/3.26 V1 := V1
% 2.86/3.26 end
% 2.86/3.26
% 2.86/3.26 subsumption: (448) {G1,W18,D2,L2,V8,M2} R(19,17) { eqangle( X, Y, Z, T, U,
% 2.86/3.26 W, V0, V1 ), ! eqangle( W, U, V0, V1, X, Y, Z, T ) }.
% 2.86/3.26 parent0: (20884) {G1,W18,D2,L2,V8,M2} { eqangle( U, W, V0, V1, X, Y, Z, T
% 2.86/3.26 ), ! eqangle( Y, X, Z, T, U, W, V0, V1 ) }.
% 2.86/3.26 substitution0:
% 2.86/3.26 X := U
% 2.86/3.26 Y := W
% 2.86/3.26 Z := V0
% 2.86/3.26 T := V1
% 2.86/3.26 U := X
% 2.86/3.26 W := Y
% 2.86/3.26 V0 := Z
% 2.86/3.26 V1 := T
% 2.86/3.26 end
% 2.86/3.26 permutation0:
% 2.86/3.26 0 ==> 0
% 2.86/3.26 1 ==> 1
% 2.86/3.26 end
% 2.86/3.26
% 2.86/3.26 resolution: (20886) {G1,W18,D2,L2,V8,M2} { eqangle( Y, X, Z, T, U, W, V0,
% 2.86/3.26 V1 ), ! eqangle( U, W, V0, V1, X, Y, Z, T ) }.
% 2.86/3.26 parent0[0]: (17) {G0,W18,D2,L2,V8,M2} I { ! eqangle( X, Y, Z, T, U, W, V0,
% 2.86/3.26 V1 ), eqangle( Y, X, Z, T, U, W, V0, V1 ) }.
% 2.86/3.26 parent1[1]: (19) {G0,W18,D2,L2,V8,M2} I { ! eqangle( X, Y, Z, T, U, W, V0,
% 2.86/3.26 V1 ), eqangle( U, W, V0, V1, X, Y, Z, T ) }.
% 2.86/3.26 substitution0:
% 2.86/3.26 X := X
% 2.86/3.26 Y := Y
% 2.86/3.26 Z := Z
% 2.86/3.26 T := T
% 2.86/3.26 U := U
% 2.86/3.26 W := W
% 2.86/3.26 V0 := V0
% 2.86/3.26 V1 := V1
% 2.86/3.26 end
% 2.86/3.26 substitution1:
% 2.86/3.26 X := U
% 2.86/3.26 Y := W
% 2.86/3.26 Z := V0
% 2.86/3.26 T := V1
% 2.86/3.26 U := X
% 2.86/3.26 W := Y
% 2.86/3.26 V0 := Z
% 2.86/3.26 V1 := T
% 2.86/3.26 end
% 2.86/3.26
% 2.86/3.26 subsumption: (449) {G1,W18,D2,L2,V8,M2} R(19,17) { ! eqangle( X, Y, Z, T, U
% 2.86/3.26 , W, V0, V1 ), eqangle( W, U, V0, V1, X, Y, Z, T ) }.
% 2.86/3.26 parent0: (20886) {G1,W18,D2,L2,V8,M2} { eqangle( Y, X, Z, T, U, W, V0, V1
% 2.86/3.26 ), ! eqangle( U, W, V0, V1, X, Y, Z, T ) }.
% 2.86/3.26 substitution0:
% 2.86/3.26 X := U
% 2.86/3.26 Y := W
% 2.86/3.26 Z := V0
% 2.86/3.26 T := V1
% 2.86/3.26 U := X
% 2.86/3.26 W := Y
% 2.86/3.26 V0 := Z
% 2.86/3.26 V1 := T
% 2.86/3.26 end
% 2.86/3.26 permutation0:
% 2.86/3.26 0 ==> 1
% 2.86/3.26 1 ==> 0
% 2.86/3.26 end
% 2.86/3.26
% 2.86/3.26 resolution: (20887) {G1,W18,D2,L2,V8,M2} { eqangle( X, Y, U, W, Z, T, V0,
% 2.86/3.26 V1 ), ! eqangle( Y, X, Z, T, U, W, V0, V1 ) }.
% 2.86/3.26 parent0[0]: (20) {G0,W18,D2,L2,V8,M2} I { ! eqangle( X, Y, Z, T, U, W, V0,
% 2.86/3.26 V1 ), eqangle( X, Y, U, W, Z, T, V0, V1 ) }.
% 2.86/3.26 parent1[1]: (17) {G0,W18,D2,L2,V8,M2} I { ! eqangle( X, Y, Z, T, U, W, V0,
% 2.86/3.26 V1 ), eqangle( Y, X, Z, T, U, W, V0, V1 ) }.
% 2.86/3.26 substitution0:
% 2.86/3.26 X := X
% 2.86/3.26 Y := Y
% 2.86/3.26 Z := Z
% 2.86/3.26 T := T
% 2.86/3.26 U := U
% 2.86/3.26 W := W
% 2.86/3.26 V0 := V0
% 2.86/3.26 V1 := V1
% 2.86/3.26 end
% 2.86/3.26 substitution1:
% 2.86/3.26 X := Y
% 2.86/3.26 Y := X
% 2.86/3.26 Z := Z
% 2.86/3.26 T := T
% 2.86/3.26 U := U
% 2.86/3.26 W := W
% 2.86/3.26 V0 := V0
% 2.86/3.26 V1 := V1
% 2.86/3.26 end
% 2.86/3.26
% 2.86/3.26 subsumption: (459) {G1,W18,D2,L2,V8,M2} R(20,17) { eqangle( X, Y, Z, T, U,
% 2.86/3.26 W, V0, V1 ), ! eqangle( Y, X, U, W, Z, T, V0, V1 ) }.
% 2.86/3.26 parent0: (20887) {G1,W18,D2,L2,V8,M2} { eqangle( X, Y, U, W, Z, T, V0, V1
% 2.86/3.26 ), ! eqangle( Y, X, Z, T, U, W, V0, V1 ) }.
% 2.86/3.26 substitution0:
% 2.86/3.26 X := X
% 2.86/3.26 Y := Y
% 2.86/3.26 Z := U
% 2.86/3.26 T := W
% 2.86/3.26 U := Z
% 2.86/3.26 W := T
% 2.86/3.26 V0 := V0
% 2.86/3.26 V1 := V1
% 2.86/3.26 end
% 2.86/3.26 permutation0:
% 2.86/3.26 0 ==> 0
% 2.86/3.26 1 ==> 1
% 2.86/3.26 end
% 2.86/3.26
% 2.86/3.26 resolution: (20889) {G1,W15,D2,L3,V6,M3} { ! cong( X, Y, Z, T ), cong( X,
% 2.86/3.26 Y, U, W ), ! cong( U, W, Z, T ) }.
% 2.86/3.26 parent0[1]: (24) {G0,W15,D2,L3,V6,M3} I { ! cong( X, Y, U, W ), ! cong( U,
% 2.86/3.26 W, Z, T ), cong( X, Y, Z, T ) }.
% 2.86/3.26 parent1[1]: (23) {G0,W10,D2,L2,V4,M2} I { ! cong( X, Y, Z, T ), cong( Z, T
% 2.86/3.26 , X, Y ) }.
% 2.86/3.26 substitution0:
% 2.86/3.26 X := X
% 2.86/3.26 Y := Y
% 2.86/3.26 Z := U
% 2.86/3.26 T := W
% 2.86/3.26 U := Z
% 2.86/3.26 W := T
% 2.86/3.26 end
% 2.86/3.26 substitution1:
% 2.86/3.26 X := U
% 2.86/3.26 Y := W
% 2.86/3.26 Z := Z
% 2.86/3.26 T := T
% 2.86/3.26 end
% 2.86/3.26
% 2.86/3.26 subsumption: (523) {G1,W15,D2,L3,V6,M3} R(24,23) { ! cong( X, Y, Z, T ),
% 2.86/3.26 cong( X, Y, U, W ), ! cong( U, W, Z, T ) }.
% 2.86/3.26 parent0: (20889) {G1,W15,D2,L3,V6,M3} { ! cong( X, Y, Z, T ), cong( X, Y,
% 2.86/3.26 U, W ), ! cong( U, W, Z, T ) }.
% 2.86/3.26 substitution0:
% 2.86/3.26 X := X
% 2.86/3.26 Y := Y
% 2.86/3.26 Z := Z
% 2.86/3.26 T := T
% 2.86/3.26 U := U
% 2.86/3.26 W := W
% 2.86/3.26 end
% 2.86/3.26 permutation0:
% 2.86/3.26 0 ==> 0
% 2.86/3.26 1 ==> 1
% 2.86/3.26 2 ==> 2
% 2.86/3.26 end
% 2.86/3.26
% 2.86/3.26 factor: (20892) {G1,W10,D2,L2,V4,M2} { ! cong( X, Y, Z, T ), cong( X, Y, X
% 2.86/3.26 , Y ) }.
% 2.86/3.26 parent0[0, 2]: (523) {G1,W15,D2,L3,V6,M3} R(24,23) { ! cong( X, Y, Z, T ),
% 2.86/3.26 cong( X, Y, U, W ), ! cong( U, W, Z, T ) }.
% 2.86/3.26 substitution0:
% 2.86/3.26 X := X
% 2.86/3.26 Y := Y
% 2.86/3.26 Z := Z
% 2.86/3.26 T := T
% 2.86/3.26 U := X
% 2.86/3.26 W := Y
% 2.86/3.26 end
% 2.86/3.26
% 2.86/3.26 subsumption: (534) {G2,W10,D2,L2,V4,M2} F(523) { ! cong( X, Y, Z, T ), cong
% 2.86/3.26 ( X, Y, X, Y ) }.
% 2.86/3.26 parent0: (20892) {G1,W10,D2,L2,V4,M2} { ! cong( X, Y, Z, T ), cong( X, Y,
% 2.86/3.26 X, Y ) }.
% 2.86/3.26 substitution0:
% 2.86/3.26 X := X
% 2.86/3.26 Y := Y
% 2.86/3.26 Z := Z
% 2.86/3.26 T := T
% 2.86/3.26 end
% 2.86/3.26 permutation0:
% 2.86/3.26 0 ==> 0
% 2.86/3.26 1 ==> 1
% 2.86/3.26 end
% 2.86/3.26
% 2.86/3.26 resolution: (20894) {G1,W8,D2,L2,V3,M2} { coll( Y, X, X ), ! coll( X, Z, Y
% 2.86/3.26 ) }.
% 2.86/3.26 parent0[0]: (1) {G0,W8,D2,L2,V3,M2} I { ! coll( X, Y, Z ), coll( Y, X, Z )
% 2.86/3.26 }.
% 2.86/3.26 parent1[0]: (366) {G4,W8,D2,L2,V3,M2} F(350) { coll( X, Y, X ), ! coll( X,
% 2.86/3.26 Z, Y ) }.
% 2.86/3.26 substitution0:
% 2.86/3.26 X := X
% 2.86/3.26 Y := Y
% 2.86/3.26 Z := X
% 2.86/3.26 end
% 2.86/3.26 substitution1:
% 2.86/3.26 X := X
% 2.86/3.26 Y := Y
% 2.86/3.26 Z := Z
% 2.86/3.26 end
% 2.86/3.26
% 2.86/3.26 subsumption: (719) {G5,W8,D2,L2,V3,M2} R(366,1) { ! coll( X, Y, Z ), coll(
% 2.86/3.26 Z, X, X ) }.
% 2.86/3.26 parent0: (20894) {G1,W8,D2,L2,V3,M2} { coll( Y, X, X ), ! coll( X, Z, Y )
% 2.86/3.26 }.
% 2.86/3.26 substitution0:
% 2.86/3.26 X := X
% 2.86/3.26 Y := Z
% 2.86/3.26 Z := Y
% 2.86/3.26 end
% 2.86/3.26 permutation0:
% 2.86/3.26 0 ==> 1
% 2.86/3.26 1 ==> 0
% 2.86/3.26 end
% 2.86/3.26
% 2.86/3.26 resolution: (20895) {G1,W8,D2,L2,V3,M2} { coll( Z, X, X ), ! coll( Y, X, Z
% 2.86/3.26 ) }.
% 2.86/3.26 parent0[0]: (719) {G5,W8,D2,L2,V3,M2} R(366,1) { ! coll( X, Y, Z ), coll( Z
% 2.86/3.26 , X, X ) }.
% 2.86/3.26 parent1[1]: (1) {G0,W8,D2,L2,V3,M2} I { ! coll( X, Y, Z ), coll( Y, X, Z )
% 2.86/3.26 }.
% 2.86/3.26 substitution0:
% 2.86/3.26 X := X
% 2.86/3.26 Y := Y
% 2.86/3.26 Z := Z
% 2.86/3.26 end
% 2.86/3.26 substitution1:
% 2.86/3.26 X := Y
% 2.86/3.26 Y := X
% 2.86/3.26 Z := Z
% 2.86/3.26 end
% 2.86/3.26
% 2.86/3.26 subsumption: (735) {G6,W8,D2,L2,V3,M2} R(719,1) { coll( X, Y, Y ), ! coll(
% 2.86/3.26 Z, Y, X ) }.
% 2.86/3.26 parent0: (20895) {G1,W8,D2,L2,V3,M2} { coll( Z, X, X ), ! coll( Y, X, Z )
% 2.86/3.26 }.
% 2.86/3.26 substitution0:
% 2.86/3.26 X := Y
% 2.86/3.26 Y := Z
% 2.86/3.26 Z := X
% 2.86/3.26 end
% 2.86/3.26 permutation0:
% 2.86/3.26 0 ==> 0
% 2.86/3.26 1 ==> 1
% 2.86/3.26 end
% 2.86/3.26
% 2.86/3.26 resolution: (20896) {G1,W8,D2,L2,V3,M2} { coll( Z, X, X ), ! coll( X, Z, Y
% 2.86/3.26 ) }.
% 2.86/3.26 parent0[0]: (719) {G5,W8,D2,L2,V3,M2} R(366,1) { ! coll( X, Y, Z ), coll( Z
% 2.86/3.26 , X, X ) }.
% 2.86/3.26 parent1[1]: (0) {G0,W8,D2,L2,V3,M2} I { ! coll( X, Y, Z ), coll( X, Z, Y )
% 2.86/3.26 }.
% 2.86/3.26 substitution0:
% 2.86/3.26 X := X
% 2.86/3.26 Y := Y
% 2.86/3.26 Z := Z
% 2.86/3.26 end
% 2.86/3.26 substitution1:
% 2.86/3.26 X := X
% 2.86/3.26 Y := Z
% 2.86/3.26 Z := Y
% 2.86/3.26 end
% 2.86/3.26
% 2.86/3.26 subsumption: (736) {G6,W8,D2,L2,V3,M2} R(719,0) { coll( X, Y, Y ), ! coll(
% 2.86/3.26 Y, X, Z ) }.
% 2.86/3.26 parent0: (20896) {G1,W8,D2,L2,V3,M2} { coll( Z, X, X ), ! coll( X, Z, Y )
% 2.86/3.26 }.
% 2.86/3.26 substitution0:
% 2.86/3.26 X := Y
% 2.86/3.26 Y := Z
% 2.86/3.26 Z := X
% 2.86/3.26 end
% 2.86/3.26 permutation0:
% 2.86/3.26 0 ==> 0
% 2.86/3.26 1 ==> 1
% 2.86/3.26 end
% 2.86/3.26
% 2.86/3.26 resolution: (20898) {G6,W8,D2,L2,V3,M2} { coll( Y, X, X ), ! coll( Z, Y, X
% 2.86/3.26 ) }.
% 2.86/3.26 parent0[0]: (719) {G5,W8,D2,L2,V3,M2} R(366,1) { ! coll( X, Y, Z ), coll( Z
% 2.86/3.26 , X, X ) }.
% 2.86/3.26 parent1[0]: (735) {G6,W8,D2,L2,V3,M2} R(719,1) { coll( X, Y, Y ), ! coll( Z
% 2.86/3.26 , Y, X ) }.
% 2.86/3.26 substitution0:
% 2.86/3.26 X := X
% 2.86/3.26 Y := Y
% 2.86/3.26 Z := Y
% 2.86/3.26 end
% 2.86/3.26 substitution1:
% 2.86/3.26 X := X
% 2.86/3.26 Y := Y
% 2.86/3.26 Z := Z
% 2.86/3.26 end
% 2.86/3.26
% 2.86/3.26 subsumption: (737) {G7,W8,D2,L2,V3,M2} R(735,719) { ! coll( X, Y, Z ), coll
% 2.86/3.26 ( Y, Z, Z ) }.
% 2.86/3.26 parent0: (20898) {G6,W8,D2,L2,V3,M2} { coll( Y, X, X ), ! coll( Z, Y, X )
% 2.86/3.26 }.
% 2.86/3.26 substitution0:
% 2.86/3.26 X := Z
% 2.86/3.26 Y := Y
% 2.86/3.26 Z := X
% 2.86/3.26 end
% 2.86/3.26 permutation0:
% 2.86/3.26 0 ==> 1
% 2.86/3.26 1 ==> 0
% 2.86/3.26 end
% 2.86/3.26
% 2.86/3.26 resolution: (20899) {G7,W8,D2,L2,V3,M2} { coll( X, Y, Y ), ! coll( X, Y, Z
% 2.86/3.26 ) }.
% 2.86/3.26 parent0[1]: (736) {G6,W8,D2,L2,V3,M2} R(719,0) { coll( X, Y, Y ), ! coll( Y
% 2.86/3.26 , X, Z ) }.
% 2.86/3.26 parent1[0]: (736) {G6,W8,D2,L2,V3,M2} R(719,0) { coll( X, Y, Y ), ! coll( Y
% 2.86/3.26 , X, Z ) }.
% 2.86/3.26 substitution0:
% 2.86/3.26 X := X
% 2.86/3.26 Y := Y
% 2.86/3.26 Z := X
% 2.86/3.26 end
% 2.86/3.26 substitution1:
% 2.86/3.26 X := Y
% 2.86/3.26 Y := X
% 2.86/3.26 Z := Z
% 2.86/3.26 end
% 2.86/3.26
% 2.86/3.26 subsumption: (740) {G7,W8,D2,L2,V3,M2} R(736,736) { ! coll( X, Y, Z ), coll
% 2.86/3.26 ( X, Y, Y ) }.
% 2.86/3.26 parent0: (20899) {G7,W8,D2,L2,V3,M2} { coll( X, Y, Y ), ! coll( X, Y, Z )
% 2.86/3.26 }.
% 2.86/3.26 substitution0:
% 2.86/3.26 X := X
% 2.86/3.26 Y := Y
% 2.86/3.26 Z := Z
% 2.86/3.26 end
% 2.86/3.26 permutation0:
% 2.86/3.26 0 ==> 1
% 2.86/3.26 1 ==> 0
% 2.86/3.26 end
% 2.86/3.26
% 2.86/3.26 resolution: (20903) {G1,W12,D2,L3,V4,M3} { ! coll( X, Y, Z ), coll( Z, Y,
% 2.86/3.26 X ), ! coll( X, Y, T ) }.
% 2.86/3.26 parent0[1]: (2) {G0,W12,D2,L3,V4,M3} I { ! coll( X, T, Y ), ! coll( X, T, Z
% 2.86/3.26 ), coll( Y, Z, X ) }.
% 2.86/3.26 parent1[1]: (740) {G7,W8,D2,L2,V3,M2} R(736,736) { ! coll( X, Y, Z ), coll
% 2.86/3.26 ( X, Y, Y ) }.
% 2.86/3.26 substitution0:
% 2.86/3.26 X := X
% 2.86/3.26 Y := Z
% 2.86/3.26 Z := Y
% 2.86/3.26 T := Y
% 2.86/3.26 end
% 2.86/3.26 substitution1:
% 2.86/3.26 X := X
% 2.86/3.26 Y := Y
% 2.86/3.26 Z := T
% 2.86/3.26 end
% 2.86/3.26
% 2.86/3.26 subsumption: (754) {G8,W12,D2,L3,V4,M3} R(740,2) { ! coll( X, Y, Z ), !
% 2.86/3.26 coll( X, Y, T ), coll( T, Y, X ) }.
% 2.86/3.26 parent0: (20903) {G1,W12,D2,L3,V4,M3} { ! coll( X, Y, Z ), coll( Z, Y, X )
% 2.86/3.26 , ! coll( X, Y, T ) }.
% 2.86/3.26 substitution0:
% 2.86/3.26 X := X
% 2.86/3.26 Y := Y
% 2.86/3.26 Z := T
% 2.86/3.26 T := Z
% 2.86/3.26 end
% 2.86/3.26 permutation0:
% 2.86/3.26 0 ==> 1
% 2.86/3.26 1 ==> 2
% 2.86/3.26 2 ==> 0
% 2.86/3.26 end
% 2.86/3.26
% 2.86/3.26 factor: (20906) {G8,W8,D2,L2,V3,M2} { ! coll( X, Y, Z ), coll( Z, Y, X )
% 2.86/3.26 }.
% 2.86/3.26 parent0[0, 1]: (754) {G8,W12,D2,L3,V4,M3} R(740,2) { ! coll( X, Y, Z ), !
% 2.86/3.26 coll( X, Y, T ), coll( T, Y, X ) }.
% 2.86/3.26 substitution0:
% 2.86/3.26 X := X
% 2.86/3.26 Y := Y
% 2.86/3.26 Z := Z
% 2.86/3.26 T := Z
% 2.86/3.26 end
% 2.86/3.26
% 2.86/3.26 subsumption: (755) {G9,W8,D2,L2,V3,M2} F(754) { ! coll( X, Y, Z ), coll( Z
% 2.86/3.26 , Y, X ) }.
% 2.86/3.26 parent0: (20906) {G8,W8,D2,L2,V3,M2} { ! coll( X, Y, Z ), coll( Z, Y, X )
% 2.86/3.26 }.
% 2.86/3.26 substitution0:
% 2.86/3.26 X := X
% 2.86/3.26 Y := Y
% 2.86/3.26 Z := Z
% 2.86/3.26 end
% 2.86/3.26 permutation0:
% 2.86/3.26 0 ==> 0
% 2.86/3.26 1 ==> 1
% 2.86/3.26 end
% 2.86/3.26
% 2.86/3.26 resolution: (20907) {G8,W8,D2,L2,V3,M2} { coll( Y, Y, X ), ! coll( Z, X, Y
% 2.86/3.26 ) }.
% 2.86/3.26 parent0[0]: (755) {G9,W8,D2,L2,V3,M2} F(754) { ! coll( X, Y, Z ), coll( Z,
% 2.86/3.26 Y, X ) }.
% 2.86/3.26 parent1[1]: (737) {G7,W8,D2,L2,V3,M2} R(735,719) { ! coll( X, Y, Z ), coll
% 2.86/3.26 ( Y, Z, Z ) }.
% 2.86/3.26 substitution0:
% 2.86/3.26 X := X
% 2.86/3.26 Y := Y
% 2.86/3.26 Z := Y
% 2.86/3.26 end
% 2.86/3.26 substitution1:
% 2.86/3.26 X := Z
% 2.86/3.26 Y := X
% 2.86/3.26 Z := Y
% 2.86/3.26 end
% 2.86/3.26
% 2.86/3.26 subsumption: (758) {G10,W8,D2,L2,V3,M2} R(755,737) { coll( X, X, Y ), !
% 2.86/3.26 coll( Z, Y, X ) }.
% 2.86/3.26 parent0: (20907) {G8,W8,D2,L2,V3,M2} { coll( Y, Y, X ), ! coll( Z, X, Y )
% 2.86/3.26 }.
% 2.86/3.26 substitution0:
% 2.86/3.26 X := Y
% 2.86/3.26 Y := X
% 2.86/3.26 Z := Z
% 2.86/3.26 end
% 2.86/3.26 permutation0:
% 2.86/3.26 0 ==> 0
% 2.86/3.26 1 ==> 1
% 2.86/3.26 end
% 2.86/3.26
% 2.86/3.26 resolution: (20908) {G7,W8,D2,L2,V3,M2} { coll( Y, Y, X ), ! coll( Z, Y, X
% 2.86/3.26 ) }.
% 2.86/3.26 parent0[0]: (755) {G9,W8,D2,L2,V3,M2} F(754) { ! coll( X, Y, Z ), coll( Z,
% 2.86/3.26 Y, X ) }.
% 2.86/3.26 parent1[0]: (735) {G6,W8,D2,L2,V3,M2} R(719,1) { coll( X, Y, Y ), ! coll( Z
% 2.86/3.26 , Y, X ) }.
% 2.86/3.26 substitution0:
% 2.86/3.26 X := X
% 2.86/3.26 Y := Y
% 2.86/3.26 Z := Y
% 2.86/3.26 end
% 2.86/3.26 substitution1:
% 2.86/3.26 X := X
% 2.86/3.26 Y := Y
% 2.86/3.26 Z := Z
% 2.86/3.26 end
% 2.86/3.26
% 2.86/3.26 subsumption: (759) {G10,W8,D2,L2,V3,M2} R(755,735) { coll( X, X, Y ), !
% 2.86/3.26 coll( Z, X, Y ) }.
% 2.86/3.26 parent0: (20908) {G7,W8,D2,L2,V3,M2} { coll( Y, Y, X ), ! coll( Z, Y, X )
% 2.86/3.26 }.
% 2.86/3.26 substitution0:
% 2.86/3.26 X := Y
% 2.86/3.26 Y := X
% 2.86/3.26 Z := Z
% 2.86/3.26 end
% 2.86/3.26 permutation0:
% 2.86/3.26 0 ==> 0
% 2.86/3.26 1 ==> 1
% 2.86/3.26 end
% 2.86/3.26
% 2.86/3.26 resolution: (20909) {G1,W8,D2,L2,V3,M2} { coll( X, Y, Z ), ! midp( Y, Z, X
% 2.86/3.26 ) }.
% 2.86/3.26 parent0[1]: (176) {G1,W8,D2,L2,V3,M2} R(1,0) { coll( X, Y, Z ), ! coll( Y,
% 2.86/3.26 Z, X ) }.
% 2.86/3.26 parent1[1]: (69) {G0,W8,D2,L2,V3,M2} I { ! midp( X, Y, Z ), coll( X, Y, Z )
% 2.86/3.26 }.
% 2.86/3.26 substitution0:
% 2.86/3.26 X := X
% 2.86/3.26 Y := Y
% 2.86/3.26 Z := Z
% 2.86/3.26 end
% 2.86/3.26 substitution1:
% 2.86/3.26 X := Y
% 2.86/3.26 Y := Z
% 2.86/3.26 Z := X
% 2.86/3.26 end
% 2.86/3.26
% 2.86/3.26 subsumption: (991) {G2,W8,D2,L2,V3,M2} R(69,176) { ! midp( X, Y, Z ), coll
% 2.86/3.26 ( Z, X, Y ) }.
% 2.86/3.26 parent0: (20909) {G1,W8,D2,L2,V3,M2} { coll( X, Y, Z ), ! midp( Y, Z, X )
% 2.86/3.26 }.
% 2.86/3.26 substitution0:
% 2.86/3.26 X := Z
% 2.86/3.26 Y := X
% 2.86/3.26 Z := Y
% 2.86/3.26 end
% 2.86/3.26 permutation0:
% 2.86/3.26 0 ==> 1
% 2.86/3.26 1 ==> 0
% 2.86/3.26 end
% 2.86/3.26
% 2.86/3.26 resolution: (20910) {G1,W8,D2,L2,V3,M2} { coll( X, X, Y ), ! midp( Z, X, Y
% 2.86/3.26 ) }.
% 2.86/3.26 parent0[1]: (759) {G10,W8,D2,L2,V3,M2} R(755,735) { coll( X, X, Y ), ! coll
% 2.86/3.26 ( Z, X, Y ) }.
% 2.86/3.26 parent1[1]: (69) {G0,W8,D2,L2,V3,M2} I { ! midp( X, Y, Z ), coll( X, Y, Z )
% 2.86/3.26 }.
% 2.86/3.26 substitution0:
% 2.86/3.26 X := X
% 2.86/3.26 Y := Y
% 2.86/3.26 Z := Z
% 2.86/3.26 end
% 2.86/3.26 substitution1:
% 2.86/3.26 X := Z
% 2.86/3.26 Y := X
% 2.86/3.26 Z := Y
% 2.86/3.26 end
% 2.86/3.26
% 2.86/3.26 subsumption: (999) {G11,W8,D2,L2,V3,M2} R(69,759) { ! midp( X, Y, Z ), coll
% 2.86/3.26 ( Y, Y, Z ) }.
% 2.86/3.26 parent0: (20910) {G1,W8,D2,L2,V3,M2} { coll( X, X, Y ), ! midp( Z, X, Y )
% 2.86/3.26 }.
% 2.86/3.26 substitution0:
% 2.86/3.26 X := Y
% 2.86/3.26 Y := Z
% 2.86/3.26 Z := X
% 2.86/3.26 end
% 2.86/3.26 permutation0:
% 2.86/3.26 0 ==> 1
% 2.86/3.26 1 ==> 0
% 2.86/3.26 end
% 2.86/3.26
% 2.86/3.26 resolution: (20911) {G1,W4,D2,L1,V0,M1} { coll( skol26, skol20, skol25 )
% 2.86/3.26 }.
% 2.86/3.26 parent0[0]: (69) {G0,W8,D2,L2,V3,M2} I { ! midp( X, Y, Z ), coll( X, Y, Z )
% 2.86/3.26 }.
% 2.86/3.26 parent1[0]: (327) {G1,W4,D2,L1,V0,M1} R(10,116) { midp( skol26, skol20,
% 2.86/3.26 skol25 ) }.
% 2.86/3.26 substitution0:
% 2.86/3.26 X := skol26
% 2.86/3.26 Y := skol20
% 2.86/3.26 Z := skol25
% 2.86/3.26 end
% 2.86/3.26 substitution1:
% 2.86/3.26 end
% 2.86/3.26
% 2.86/3.26 subsumption: (1014) {G2,W4,D2,L1,V0,M1} R(69,327) { coll( skol26, skol20,
% 2.86/3.26 skol25 ) }.
% 2.86/3.26 parent0: (20911) {G1,W4,D2,L1,V0,M1} { coll( skol26, skol20, skol25 ) }.
% 2.86/3.26 substitution0:
% 2.86/3.26 end
% 2.86/3.26 permutation0:
% 2.86/3.26 0 ==> 0
% 2.86/3.26 end
% 2.86/3.26
% 2.86/3.26 resolution: (20912) {G1,W4,D2,L1,V0,M1} { coll( skol26, skol25, skol20 )
% 2.86/3.26 }.
% 2.86/3.26 parent0[0]: (69) {G0,W8,D2,L2,V3,M2} I { ! midp( X, Y, Z ), coll( X, Y, Z )
% 2.86/3.26 }.
% 2.86/3.26 parent1[0]: (116) {G0,W4,D2,L1,V0,M1} I { midp( skol26, skol25, skol20 )
% 2.86/3.26 }.
% 2.86/3.26 substitution0:
% 2.86/3.26 X := skol26
% 2.86/3.26 Y := skol25
% 2.86/3.26 Z := skol20
% 2.86/3.26 end
% 2.86/3.26 substitution1:
% 2.86/3.26 end
% 2.86/3.26
% 2.86/3.26 subsumption: (1016) {G1,W4,D2,L1,V0,M1} R(69,116) { coll( skol26, skol25,
% 2.86/3.26 skol20 ) }.
% 2.86/3.26 parent0: (20912) {G1,W4,D2,L1,V0,M1} { coll( skol26, skol25, skol20 ) }.
% 2.86/3.26 substitution0:
% 2.86/3.26 end
% 2.86/3.26 permutation0:
% 2.86/3.26 0 ==> 0
% 2.86/3.26 end
% 2.86/3.26
% 2.86/3.26 resolution: (20913) {G1,W8,D2,L2,V3,M2} { coll( Y, X, Z ), ! midp( X, Y, Z
% 2.86/3.26 ) }.
% 2.86/3.26 parent0[0]: (1) {G0,W8,D2,L2,V3,M2} I { ! coll( X, Y, Z ), coll( Y, X, Z )
% 2.86/3.26 }.
% 2.86/3.26 parent1[1]: (69) {G0,W8,D2,L2,V3,M2} I { ! midp( X, Y, Z ), coll( X, Y, Z )
% 2.86/3.26 }.
% 2.86/3.26 substitution0:
% 2.86/3.26 X := X
% 2.86/3.26 Y := Y
% 2.86/3.26 Z := Z
% 2.86/3.26 end
% 2.86/3.26 substitution1:
% 2.86/3.26 X := X
% 2.86/3.26 Y := Y
% 2.86/3.26 Z := Z
% 2.86/3.26 end
% 2.86/3.26
% 2.86/3.26 subsumption: (1019) {G1,W8,D2,L2,V3,M2} R(69,1) { ! midp( X, Y, Z ), coll(
% 2.86/3.26 Y, X, Z ) }.
% 2.86/3.26 parent0: (20913) {G1,W8,D2,L2,V3,M2} { coll( Y, X, Z ), ! midp( X, Y, Z )
% 2.86/3.26 }.
% 2.86/3.26 substitution0:
% 2.86/3.26 X := X
% 2.86/3.26 Y := Y
% 2.86/3.26 Z := Z
% 2.86/3.26 end
% 2.86/3.26 permutation0:
% 2.86/3.26 0 ==> 1
% 2.86/3.26 1 ==> 0
% 2.86/3.26 end
% 2.86/3.26
% 2.86/3.26 resolution: (20914) {G3,W4,D2,L1,V0,M1} { coll( skol25, skol20, skol25 )
% 2.86/3.26 }.
% 2.86/3.26 parent0[1]: (354) {G3,W8,D2,L2,V3,M2} R(219,1) { coll( X, Y, X ), ! coll( Z
% 2.86/3.26 , Y, X ) }.
% 2.86/3.26 parent1[0]: (1014) {G2,W4,D2,L1,V0,M1} R(69,327) { coll( skol26, skol20,
% 2.86/3.26 skol25 ) }.
% 2.86/3.26 substitution0:
% 2.86/3.26 X := skol25
% 2.86/3.26 Y := skol20
% 2.86/3.26 Z := skol26
% 2.86/3.26 end
% 2.86/3.26 substitution1:
% 2.86/3.26 end
% 2.86/3.26
% 2.86/3.26 subsumption: (1024) {G4,W4,D2,L1,V0,M1} R(1014,354) { coll( skol25, skol20
% 2.86/3.26 , skol25 ) }.
% 2.86/3.26 parent0: (20914) {G3,W4,D2,L1,V0,M1} { coll( skol25, skol20, skol25 ) }.
% 2.86/3.26 substitution0:
% 2.86/3.26 end
% 2.86/3.26 permutation0:
% 2.86/3.26 0 ==> 0
% 2.86/3.26 end
% 2.86/3.26
% 2.86/3.26 resolution: (20915) {G3,W4,D2,L1,V0,M1} { coll( skol25, skol25, skol20 )
% 2.86/3.26 }.
% 2.86/3.26 parent0[1]: (758) {G10,W8,D2,L2,V3,M2} R(755,737) { coll( X, X, Y ), ! coll
% 2.86/3.26 ( Z, Y, X ) }.
% 2.86/3.26 parent1[0]: (1014) {G2,W4,D2,L1,V0,M1} R(69,327) { coll( skol26, skol20,
% 2.86/3.26 skol25 ) }.
% 2.86/3.26 substitution0:
% 2.86/3.26 X := skol25
% 2.86/3.26 Y := skol20
% 2.86/3.26 Z := skol26
% 2.86/3.26 end
% 2.86/3.26 substitution1:
% 2.86/3.26 end
% 2.86/3.26
% 2.86/3.26 subsumption: (1030) {G11,W4,D2,L1,V0,M1} R(1014,758) { coll( skol25, skol25
% 2.86/3.26 , skol20 ) }.
% 2.86/3.26 parent0: (20915) {G3,W4,D2,L1,V0,M1} { coll( skol25, skol25, skol20 ) }.
% 2.86/3.26 substitution0:
% 2.86/3.26 end
% 2.86/3.26 permutation0:
% 2.86/3.26 0 ==> 0
% 2.86/3.26 end
% 2.86/3.26
% 2.86/3.26 resolution: (20916) {G1,W8,D2,L2,V1,M2} { ! coll( skol26, skol25, X ),
% 2.86/3.26 coll( skol20, X, skol26 ) }.
% 2.86/3.26 parent0[0]: (2) {G0,W12,D2,L3,V4,M3} I { ! coll( X, T, Y ), ! coll( X, T, Z
% 2.86/3.26 ), coll( Y, Z, X ) }.
% 2.86/3.26 parent1[0]: (1016) {G1,W4,D2,L1,V0,M1} R(69,116) { coll( skol26, skol25,
% 2.86/3.26 skol20 ) }.
% 2.86/3.26 substitution0:
% 2.86/3.26 X := skol26
% 2.86/3.26 Y := skol20
% 2.86/3.26 Z := X
% 2.86/3.26 T := skol25
% 2.86/3.26 end
% 2.86/3.26 substitution1:
% 2.86/3.26 end
% 2.86/3.26
% 2.86/3.26 subsumption: (1360) {G2,W8,D2,L2,V1,M2} R(1016,2) { ! coll( skol26, skol25
% 2.86/3.26 , X ), coll( skol20, X, skol26 ) }.
% 2.86/3.26 parent0: (20916) {G1,W8,D2,L2,V1,M2} { ! coll( skol26, skol25, X ), coll(
% 2.86/3.26 skol20, X, skol26 ) }.
% 2.86/3.26 substitution0:
% 2.86/3.26 X := X
% 2.86/3.26 end
% 2.86/3.26 permutation0:
% 2.86/3.26 0 ==> 0
% 2.86/3.26 1 ==> 1
% 2.86/3.26 end
% 2.86/3.26
% 2.86/3.26 resolution: (20918) {G2,W8,D2,L2,V1,M2} { coll( skol20, X, skol26 ), !
% 2.86/3.26 coll( X, skol26, skol25 ) }.
% 2.86/3.26 parent0[0]: (1360) {G2,W8,D2,L2,V1,M2} R(1016,2) { ! coll( skol26, skol25,
% 2.86/3.26 X ), coll( skol20, X, skol26 ) }.
% 2.86/3.26 parent1[1]: (177) {G1,W8,D2,L2,V3,M2} R(1,0) { ! coll( X, Y, Z ), coll( Y,
% 2.86/3.26 Z, X ) }.
% 2.86/3.26 substitution0:
% 2.86/3.26 X := X
% 2.86/3.26 end
% 2.86/3.26 substitution1:
% 2.86/3.26 X := X
% 2.86/3.26 Y := skol26
% 2.86/3.26 Z := skol25
% 2.86/3.26 end
% 2.86/3.26
% 2.86/3.26 subsumption: (1771) {G3,W8,D2,L2,V1,M2} R(1360,177) { coll( skol20, X,
% 2.86/3.26 skol26 ), ! coll( X, skol26, skol25 ) }.
% 2.86/3.26 parent0: (20918) {G2,W8,D2,L2,V1,M2} { coll( skol20, X, skol26 ), ! coll(
% 2.86/3.26 X, skol26, skol25 ) }.
% 2.86/3.26 substitution0:
% 2.86/3.26 X := X
% 2.86/3.26 end
% 2.86/3.26 permutation0:
% 2.86/3.26 0 ==> 0
% 2.86/3.26 1 ==> 1
% 2.86/3.26 end
% 2.86/3.26
% 2.86/3.26 resolution: (20919) {G1,W5,D2,L1,V0,M1} { cong( skol26, skol20, skol26,
% 2.86/3.26 skol25 ) }.
% 2.86/3.26 parent0[0]: (68) {G0,W9,D2,L2,V3,M2} I { ! midp( X, Y, Z ), cong( X, Y, X,
% 2.86/3.26 Z ) }.
% 2.86/3.26 parent1[0]: (327) {G1,W4,D2,L1,V0,M1} R(10,116) { midp( skol26, skol20,
% 2.86/3.26 skol25 ) }.
% 2.86/3.26 substitution0:
% 2.86/3.26 X := skol26
% 2.86/3.26 Y := skol20
% 2.86/3.26 Z := skol25
% 2.86/3.26 end
% 2.86/3.26 substitution1:
% 2.86/3.26 end
% 2.86/3.26
% 2.86/3.26 subsumption: (2543) {G2,W5,D2,L1,V0,M1} R(68,327) { cong( skol26, skol20,
% 2.86/3.26 skol26, skol25 ) }.
% 2.86/3.26 parent0: (20919) {G1,W5,D2,L1,V0,M1} { cong( skol26, skol20, skol26,
% 2.86/3.26 skol25 ) }.
% 2.86/3.26 substitution0:
% 2.86/3.26 end
% 2.86/3.26 permutation0:
% 2.86/3.26 0 ==> 0
% 2.86/3.26 end
% 2.86/3.26
% 2.86/3.26 resolution: (20920) {G1,W5,D2,L1,V0,M1} { cong( skol26, skol25, skol26,
% 2.86/3.26 skol20 ) }.
% 2.86/3.26 parent0[0]: (68) {G0,W9,D2,L2,V3,M2} I { ! midp( X, Y, Z ), cong( X, Y, X,
% 2.86/3.26 Z ) }.
% 2.86/3.26 parent1[0]: (116) {G0,W4,D2,L1,V0,M1} I { midp( skol26, skol25, skol20 )
% 2.86/3.26 }.
% 2.86/3.26 substitution0:
% 2.86/3.26 X := skol26
% 2.86/3.26 Y := skol25
% 2.86/3.26 Z := skol20
% 2.86/3.26 end
% 2.86/3.26 substitution1:
% 2.86/3.26 end
% 2.86/3.26
% 2.86/3.26 subsumption: (2544) {G1,W5,D2,L1,V0,M1} R(68,116) { cong( skol26, skol25,
% 2.86/3.26 skol26, skol20 ) }.
% 2.86/3.26 parent0: (20920) {G1,W5,D2,L1,V0,M1} { cong( skol26, skol25, skol26,
% 2.86/3.26 skol20 ) }.
% 2.86/3.26 substitution0:
% 2.86/3.26 end
% 2.86/3.26 permutation0:
% 2.86/3.26 0 ==> 0
% 2.86/3.26 end
% 2.86/3.26
% 2.86/3.26 resolution: (20921) {G1,W5,D2,L1,V0,M1} { cong( skol26, skol20, skol25,
% 2.86/3.26 skol26 ) }.
% 2.86/3.26 parent0[0]: (22) {G0,W10,D2,L2,V4,M2} I { ! cong( X, Y, Z, T ), cong( X, Y
% 2.86/3.26 , T, Z ) }.
% 2.86/3.26 parent1[0]: (2543) {G2,W5,D2,L1,V0,M1} R(68,327) { cong( skol26, skol20,
% 2.86/3.26 skol26, skol25 ) }.
% 2.86/3.26 substitution0:
% 2.86/3.26 X := skol26
% 2.86/3.26 Y := skol20
% 2.86/3.26 Z := skol26
% 2.86/3.26 T := skol25
% 2.86/3.26 end
% 2.86/3.26 substitution1:
% 2.86/3.26 end
% 2.86/3.26
% 2.86/3.26 subsumption: (2553) {G3,W5,D2,L1,V0,M1} R(2543,22) { cong( skol26, skol20,
% 2.86/3.26 skol25, skol26 ) }.
% 2.86/3.26 parent0: (20921) {G1,W5,D2,L1,V0,M1} { cong( skol26, skol20, skol25,
% 2.86/3.26 skol26 ) }.
% 2.86/3.26 substitution0:
% 2.86/3.26 end
% 2.86/3.26 permutation0:
% 2.86/3.26 0 ==> 0
% 2.86/3.26 end
% 2.86/3.26
% 2.86/3.26 resolution: (20923) {G2,W8,D2,L2,V1,M2} { coll( X, skol26, skol20 ), !
% 2.86/3.26 coll( X, skol26, skol25 ) }.
% 2.86/3.26 parent0[0]: (177) {G1,W8,D2,L2,V3,M2} R(1,0) { ! coll( X, Y, Z ), coll( Y,
% 2.86/3.26 Z, X ) }.
% 2.86/3.26 parent1[0]: (1771) {G3,W8,D2,L2,V1,M2} R(1360,177) { coll( skol20, X,
% 2.86/3.26 skol26 ), ! coll( X, skol26, skol25 ) }.
% 2.86/3.26 substitution0:
% 2.86/3.26 X := skol20
% 2.86/3.26 Y := X
% 2.86/3.26 Z := skol26
% 2.86/3.26 end
% 2.86/3.26 substitution1:
% 2.86/3.26 X := X
% 2.86/3.26 end
% 2.86/3.26
% 2.86/3.26 subsumption: (3037) {G4,W8,D2,L2,V1,M2} R(1771,177) { ! coll( X, skol26,
% 2.86/3.26 skol25 ), coll( X, skol26, skol20 ) }.
% 2.86/3.26 parent0: (20923) {G2,W8,D2,L2,V1,M2} { coll( X, skol26, skol20 ), ! coll(
% 2.86/3.26 X, skol26, skol25 ) }.
% 2.86/3.26 substitution0:
% 2.86/3.26 X := X
% 2.86/3.26 end
% 2.86/3.26 permutation0:
% 2.86/3.26 0 ==> 1
% 2.86/3.26 1 ==> 0
% 2.86/3.26 end
% 2.86/3.26
% 2.86/3.26 resolution: (20926) {G1,W12,D2,L3,V2,M3} { ! coll( X, skol26, Y ), coll(
% 2.86/3.26 skol20, Y, X ), ! coll( X, skol26, skol25 ) }.
% 2.86/3.26 parent0[0]: (2) {G0,W12,D2,L3,V4,M3} I { ! coll( X, T, Y ), ! coll( X, T, Z
% 2.86/3.26 ), coll( Y, Z, X ) }.
% 2.86/3.26 parent1[1]: (3037) {G4,W8,D2,L2,V1,M2} R(1771,177) { ! coll( X, skol26,
% 2.86/3.26 skol25 ), coll( X, skol26, skol20 ) }.
% 2.86/3.26 substitution0:
% 2.86/3.26 X := X
% 2.86/3.26 Y := skol20
% 2.86/3.26 Z := Y
% 2.86/3.26 T := skol26
% 2.86/3.26 end
% 2.86/3.26 substitution1:
% 2.86/3.26 X := X
% 2.86/3.26 end
% 2.86/3.26
% 2.86/3.26 subsumption: (3057) {G5,W12,D2,L3,V2,M3} R(3037,2) { ! coll( X, skol26,
% 2.86/3.26 skol25 ), ! coll( X, skol26, Y ), coll( skol20, Y, X ) }.
% 2.86/3.26 parent0: (20926) {G1,W12,D2,L3,V2,M3} { ! coll( X, skol26, Y ), coll(
% 2.86/3.26 skol20, Y, X ), ! coll( X, skol26, skol25 ) }.
% 2.86/3.26 substitution0:
% 2.86/3.26 X := X
% 2.86/3.26 Y := Y
% 2.86/3.26 end
% 2.86/3.26 permutation0:
% 2.86/3.26 0 ==> 1
% 2.86/3.26 1 ==> 2
% 2.86/3.26 2 ==> 0
% 2.86/3.26 end
% 2.86/3.26
% 2.86/3.26 factor: (20930) {G5,W8,D2,L2,V1,M2} { ! coll( X, skol26, skol25 ), coll(
% 2.86/3.27 skol20, skol25, X ) }.
% 2.86/3.27 parent0[0, 1]: (3057) {G5,W12,D2,L3,V2,M3} R(3037,2) { ! coll( X, skol26,
% 2.86/3.27 skol25 ), ! coll( X, skol26, Y ), coll( skol20, Y, X ) }.
% 2.86/3.27 substitution0:
% 2.86/3.27 X := X
% 2.86/3.27 Y := skol25
% 2.86/3.27 end
% 2.86/3.27
% 2.86/3.27 subsumption: (3062) {G6,W8,D2,L2,V1,M2} F(3057) { ! coll( X, skol26, skol25
% 2.86/3.27 ), coll( skol20, skol25, X ) }.
% 2.86/3.27 parent0: (20930) {G5,W8,D2,L2,V1,M2} { ! coll( X, skol26, skol25 ), coll(
% 2.86/3.27 skol20, skol25, X ) }.
% 2.86/3.27 substitution0:
% 2.86/3.27 X := X
% 2.86/3.27 end
% 2.86/3.27 permutation0:
% 2.86/3.27 0 ==> 0
% 2.86/3.27 1 ==> 1
% 2.86/3.27 end
% 2.86/3.27
% 2.86/3.27 resolution: (20931) {G2,W8,D2,L2,V1,M2} { coll( skol20, skol25, X ), !
% 2.86/3.27 midp( skol26, X, skol25 ) }.
% 2.86/3.27 parent0[0]: (3062) {G6,W8,D2,L2,V1,M2} F(3057) { ! coll( X, skol26, skol25
% 2.86/3.27 ), coll( skol20, skol25, X ) }.
% 2.86/3.27 parent1[1]: (1019) {G1,W8,D2,L2,V3,M2} R(69,1) { ! midp( X, Y, Z ), coll( Y
% 2.86/3.27 , X, Z ) }.
% 2.86/3.27 substitution0:
% 2.86/3.27 X := X
% 2.86/3.27 end
% 2.86/3.27 substitution1:
% 2.86/3.27 X := skol26
% 2.86/3.27 Y := X
% 2.86/3.27 Z := skol25
% 2.86/3.27 end
% 2.86/3.27
% 2.86/3.27 subsumption: (3772) {G7,W8,D2,L2,V1,M2} R(3062,1019) { coll( skol20, skol25
% 2.86/3.27 , X ), ! midp( skol26, X, skol25 ) }.
% 2.86/3.27 parent0: (20931) {G2,W8,D2,L2,V1,M2} { coll( skol20, skol25, X ), ! midp(
% 2.86/3.27 skol26, X, skol25 ) }.
% 2.86/3.27 substitution0:
% 2.86/3.27 X := X
% 2.86/3.27 end
% 2.86/3.27 permutation0:
% 2.86/3.27 0 ==> 0
% 2.86/3.27 1 ==> 1
% 2.86/3.27 end
% 2.86/3.27
% 2.86/3.27 resolution: (20932) {G3,W8,D2,L2,V1,M2} { coll( skol20, skol25, X ), !
% 2.86/3.27 midp( skol26, skol25, X ) }.
% 2.86/3.27 parent0[0]: (3062) {G6,W8,D2,L2,V1,M2} F(3057) { ! coll( X, skol26, skol25
% 2.86/3.27 ), coll( skol20, skol25, X ) }.
% 2.86/3.27 parent1[1]: (991) {G2,W8,D2,L2,V3,M2} R(69,176) { ! midp( X, Y, Z ), coll(
% 2.86/3.27 Z, X, Y ) }.
% 2.86/3.27 substitution0:
% 2.86/3.27 X := X
% 2.86/3.27 end
% 2.86/3.27 substitution1:
% 2.86/3.27 X := skol26
% 2.86/3.27 Y := skol25
% 2.86/3.27 Z := X
% 2.86/3.27 end
% 2.86/3.27
% 2.86/3.27 subsumption: (3776) {G7,W8,D2,L2,V1,M2} R(3062,991) { coll( skol20, skol25
% 2.86/3.27 , X ), ! midp( skol26, skol25, X ) }.
% 2.86/3.27 parent0: (20932) {G3,W8,D2,L2,V1,M2} { coll( skol20, skol25, X ), ! midp(
% 2.86/3.27 skol26, skol25, X ) }.
% 2.86/3.27 substitution0:
% 2.86/3.27 X := X
% 2.86/3.27 end
% 2.86/3.27 permutation0:
% 2.86/3.27 0 ==> 0
% 2.86/3.27 1 ==> 1
% 2.86/3.27 end
% 2.86/3.27
% 2.86/3.27 resolution: (20933) {G1,W8,D2,L2,V1,M2} { coll( skol20, X, skol25 ), !
% 2.86/3.27 midp( skol26, X, skol25 ) }.
% 2.86/3.27 parent0[0]: (0) {G0,W8,D2,L2,V3,M2} I { ! coll( X, Y, Z ), coll( X, Z, Y )
% 2.86/3.27 }.
% 2.86/3.27 parent1[0]: (3772) {G7,W8,D2,L2,V1,M2} R(3062,1019) { coll( skol20, skol25
% 2.86/3.27 , X ), ! midp( skol26, X, skol25 ) }.
% 2.86/3.27 substitution0:
% 2.86/3.27 X := skol20
% 2.86/3.27 Y := skol25
% 2.86/3.27 Z := X
% 2.86/3.27 end
% 2.86/3.27 substitution1:
% 2.86/3.27 X := X
% 2.86/3.27 end
% 2.86/3.27
% 2.86/3.27 subsumption: (3799) {G8,W8,D2,L2,V1,M2} R(3772,0) { ! midp( skol26, X,
% 2.86/3.27 skol25 ), coll( skol20, X, skol25 ) }.
% 2.86/3.27 parent0: (20933) {G1,W8,D2,L2,V1,M2} { coll( skol20, X, skol25 ), ! midp(
% 2.86/3.27 skol26, X, skol25 ) }.
% 2.86/3.27 substitution0:
% 2.86/3.27 X := X
% 2.86/3.27 end
% 2.86/3.27 permutation0:
% 2.86/3.27 0 ==> 1
% 2.86/3.27 1 ==> 0
% 2.86/3.27 end
% 2.86/3.27
% 2.86/3.27 resolution: (20934) {G1,W7,D3,L1,V0,M1} { perp( skol12( skol20, skol26 ),
% 2.86/3.27 skol20, skol20, skol26 ) }.
% 2.86/3.27 parent0[0]: (100) {G0,W12,D3,L2,V4,M2} I { ! circle( Y, X, Z, T ), perp(
% 2.86/3.27 skol12( X, Y ), X, X, Y ) }.
% 2.86/3.27 parent1[0]: (117) {G0,W5,D2,L1,V0,M1} I { circle( skol26, skol20, skol27,
% 2.86/3.27 skol28 ) }.
% 2.86/3.27 substitution0:
% 2.86/3.27 X := skol20
% 2.86/3.27 Y := skol26
% 2.86/3.27 Z := skol27
% 2.86/3.27 T := skol28
% 2.86/3.27 end
% 2.86/3.27 substitution1:
% 2.86/3.27 end
% 2.86/3.27
% 2.86/3.27 subsumption: (4793) {G1,W7,D3,L1,V0,M1} R(100,117) { perp( skol12( skol20,
% 2.86/3.27 skol26 ), skol20, skol20, skol26 ) }.
% 2.86/3.27 parent0: (20934) {G1,W7,D3,L1,V0,M1} { perp( skol12( skol20, skol26 ),
% 2.86/3.27 skol20, skol20, skol26 ) }.
% 2.86/3.27 substitution0:
% 2.86/3.27 end
% 2.86/3.27 permutation0:
% 2.86/3.27 0 ==> 0
% 2.86/3.27 end
% 2.86/3.27
% 2.86/3.27 resolution: (20935) {G1,W7,D3,L1,V0,M1} { perp( skol12( skol25, skol29 ),
% 2.86/3.27 skol25, skol25, skol29 ) }.
% 2.86/3.27 parent0[0]: (100) {G0,W12,D3,L2,V4,M2} I { ! circle( Y, X, Z, T ), perp(
% 2.86/3.27 skol12( X, Y ), X, X, Y ) }.
% 2.86/3.27 parent1[0]: (120) {G0,W5,D2,L1,V0,M1} I { circle( skol29, skol25, skol33,
% 2.86/3.27 skol34 ) }.
% 2.86/3.27 substitution0:
% 2.86/3.27 X := skol25
% 2.86/3.27 Y := skol29
% 2.86/3.27 Z := skol33
% 2.86/3.27 T := skol34
% 2.86/3.27 end
% 2.86/3.27 substitution1:
% 2.86/3.27 end
% 2.86/3.27
% 2.86/3.27 subsumption: (4795) {G1,W7,D3,L1,V0,M1} R(100,120) { perp( skol12( skol25,
% 2.86/3.27 skol29 ), skol25, skol25, skol29 ) }.
% 2.86/3.27 parent0: (20935) {G1,W7,D3,L1,V0,M1} { perp( skol12( skol25, skol29 ),
% 2.86/3.27 skol25, skol25, skol29 ) }.
% 2.86/3.27 substitution0:
% 2.86/3.27 end
% 2.86/3.27 permutation0:
% 2.86/3.27 0 ==> 0
% 2.86/3.27 end
% 2.86/3.27
% 2.86/3.27 resolution: (20936) {G1,W7,D3,L1,V0,M1} { perp( skol20, skol26, skol12(
% 2.86/3.27 skol20, skol26 ), skol20 ) }.
% 2.86/3.27 parent0[0]: (7) {G0,W10,D2,L2,V4,M2} I { ! perp( X, Y, Z, T ), perp( Z, T,
% 2.86/3.27 X, Y ) }.
% 2.86/3.27 parent1[0]: (4793) {G1,W7,D3,L1,V0,M1} R(100,117) { perp( skol12( skol20,
% 2.86/3.27 skol26 ), skol20, skol20, skol26 ) }.
% 2.86/3.27 substitution0:
% 2.86/3.27 X := skol12( skol20, skol26 )
% 2.86/3.27 Y := skol20
% 2.86/3.27 Z := skol20
% 2.86/3.27 T := skol26
% 2.86/3.27 end
% 2.86/3.27 substitution1:
% 2.86/3.27 end
% 2.86/3.27
% 2.86/3.27 subsumption: (4813) {G2,W7,D3,L1,V0,M1} R(4793,7) { perp( skol20, skol26,
% 2.86/3.27 skol12( skol20, skol26 ), skol20 ) }.
% 2.86/3.27 parent0: (20936) {G1,W7,D3,L1,V0,M1} { perp( skol20, skol26, skol12(
% 2.86/3.27 skol20, skol26 ), skol20 ) }.
% 2.86/3.27 substitution0:
% 2.86/3.27 end
% 2.86/3.27 permutation0:
% 2.86/3.27 0 ==> 0
% 2.86/3.27 end
% 2.86/3.27
% 2.86/3.27 resolution: (20937) {G1,W7,D3,L1,V0,M1} { perp( skol20, skol26, skol20,
% 2.86/3.27 skol12( skol20, skol26 ) ) }.
% 2.86/3.27 parent0[0]: (6) {G0,W10,D2,L2,V4,M2} I { ! perp( X, Y, Z, T ), perp( X, Y,
% 2.86/3.27 T, Z ) }.
% 2.86/3.27 parent1[0]: (4813) {G2,W7,D3,L1,V0,M1} R(4793,7) { perp( skol20, skol26,
% 2.86/3.27 skol12( skol20, skol26 ), skol20 ) }.
% 2.86/3.27 substitution0:
% 2.86/3.27 X := skol20
% 2.86/3.27 Y := skol26
% 2.86/3.27 Z := skol12( skol20, skol26 )
% 2.86/3.27 T := skol20
% 2.86/3.27 end
% 2.86/3.27 substitution1:
% 2.86/3.27 end
% 2.86/3.27
% 2.86/3.27 subsumption: (5451) {G3,W7,D3,L1,V0,M1} R(4813,6) { perp( skol20, skol26,
% 2.86/3.27 skol20, skol12( skol20, skol26 ) ) }.
% 2.86/3.27 parent0: (20937) {G1,W7,D3,L1,V0,M1} { perp( skol20, skol26, skol20,
% 2.86/3.27 skol12( skol20, skol26 ) ) }.
% 2.86/3.27 substitution0:
% 2.86/3.27 end
% 2.86/3.27 permutation0:
% 2.86/3.27 0 ==> 0
% 2.86/3.27 end
% 2.86/3.27
% 2.86/3.27 resolution: (20938) {G1,W7,D3,L1,V0,M1} { perp( skol25, skol29, skol12(
% 2.86/3.27 skol25, skol29 ), skol25 ) }.
% 2.86/3.27 parent0[0]: (7) {G0,W10,D2,L2,V4,M2} I { ! perp( X, Y, Z, T ), perp( Z, T,
% 2.86/3.27 X, Y ) }.
% 2.86/3.27 parent1[0]: (4795) {G1,W7,D3,L1,V0,M1} R(100,120) { perp( skol12( skol25,
% 2.86/3.27 skol29 ), skol25, skol25, skol29 ) }.
% 2.86/3.27 substitution0:
% 2.86/3.27 X := skol12( skol25, skol29 )
% 2.86/3.27 Y := skol25
% 2.86/3.27 Z := skol25
% 2.86/3.27 T := skol29
% 2.86/3.27 end
% 2.86/3.27 substitution1:
% 2.86/3.27 end
% 2.86/3.27
% 2.86/3.27 subsumption: (7302) {G2,W7,D3,L1,V0,M1} R(4795,7) { perp( skol25, skol29,
% 2.86/3.27 skol12( skol25, skol29 ), skol25 ) }.
% 2.86/3.27 parent0: (20938) {G1,W7,D3,L1,V0,M1} { perp( skol25, skol29, skol12(
% 2.86/3.27 skol25, skol29 ), skol25 ) }.
% 2.86/3.27 substitution0:
% 2.86/3.27 end
% 2.86/3.27 permutation0:
% 2.86/3.27 0 ==> 0
% 2.86/3.27 end
% 2.86/3.27
% 2.86/3.27 resolution: (20939) {G1,W7,D3,L1,V0,M1} { perp( skol25, skol29, skol25,
% 2.86/3.27 skol12( skol25, skol29 ) ) }.
% 2.86/3.27 parent0[0]: (6) {G0,W10,D2,L2,V4,M2} I { ! perp( X, Y, Z, T ), perp( X, Y,
% 2.86/3.27 T, Z ) }.
% 2.86/3.27 parent1[0]: (7302) {G2,W7,D3,L1,V0,M1} R(4795,7) { perp( skol25, skol29,
% 2.86/3.27 skol12( skol25, skol29 ), skol25 ) }.
% 2.86/3.27 substitution0:
% 2.86/3.27 X := skol25
% 2.86/3.27 Y := skol29
% 2.86/3.27 Z := skol12( skol25, skol29 )
% 2.86/3.27 T := skol25
% 2.86/3.27 end
% 2.86/3.27 substitution1:
% 2.86/3.27 end
% 2.86/3.27
% 2.86/3.27 subsumption: (7313) {G3,W7,D3,L1,V0,M1} R(7302,6) { perp( skol25, skol29,
% 2.86/3.27 skol25, skol12( skol25, skol29 ) ) }.
% 2.86/3.27 parent0: (20939) {G1,W7,D3,L1,V0,M1} { perp( skol25, skol29, skol25,
% 2.86/3.27 skol12( skol25, skol29 ) ) }.
% 2.86/3.27 substitution0:
% 2.86/3.27 end
% 2.86/3.27 permutation0:
% 2.86/3.27 0 ==> 0
% 2.86/3.27 end
% 2.86/3.27
% 2.86/3.27 resolution: (20940) {G1,W7,D3,L1,V0,M1} { perp( skol25, skol12( skol25,
% 2.86/3.27 skol29 ), skol25, skol29 ) }.
% 2.86/3.27 parent0[0]: (7) {G0,W10,D2,L2,V4,M2} I { ! perp( X, Y, Z, T ), perp( Z, T,
% 2.86/3.27 X, Y ) }.
% 2.86/3.27 parent1[0]: (7313) {G3,W7,D3,L1,V0,M1} R(7302,6) { perp( skol25, skol29,
% 2.86/3.27 skol25, skol12( skol25, skol29 ) ) }.
% 2.86/3.27 substitution0:
% 2.86/3.27 X := skol25
% 2.86/3.27 Y := skol29
% 2.86/3.27 Z := skol25
% 2.86/3.27 T := skol12( skol25, skol29 )
% 2.86/3.27 end
% 2.86/3.27 substitution1:
% 2.86/3.27 end
% 2.86/3.27
% 2.86/3.27 subsumption: (7323) {G4,W7,D3,L1,V0,M1} R(7313,7) { perp( skol25, skol12(
% 2.86/3.27 skol25, skol29 ), skol25, skol29 ) }.
% 2.86/3.27 parent0: (20940) {G1,W7,D3,L1,V0,M1} { perp( skol25, skol12( skol25,
% 2.86/3.27 skol29 ), skol25, skol29 ) }.
% 2.86/3.27 substitution0:
% 2.86/3.27 end
% 2.86/3.27 permutation0:
% 2.86/3.27 0 ==> 0
% 2.86/3.27 end
% 2.86/3.27
% 2.86/3.27 resolution: (20941) {G2,W5,D2,L1,V0,M1} { circle( skol26, skol25, skol20,
% 2.86/3.27 skol20 ) }.
% 2.86/3.27 parent0[0]: (132) {G1,W10,D2,L2,V3,M2} F(11) { ! cong( X, Y, X, Z ), circle
% 2.86/3.27 ( X, Y, Z, Z ) }.
% 2.86/3.27 parent1[0]: (2544) {G1,W5,D2,L1,V0,M1} R(68,116) { cong( skol26, skol25,
% 2.86/3.27 skol26, skol20 ) }.
% 2.86/3.27 substitution0:
% 2.86/3.27 X := skol26
% 2.86/3.27 Y := skol25
% 2.86/3.27 Z := skol20
% 2.86/3.27 end
% 2.86/3.27 substitution1:
% 2.86/3.27 end
% 2.86/3.27
% 2.86/3.27 subsumption: (7325) {G2,W5,D2,L1,V0,M1} R(132,2544) { circle( skol26,
% 2.86/3.27 skol25, skol20, skol20 ) }.
% 2.86/3.27 parent0: (20941) {G2,W5,D2,L1,V0,M1} { circle( skol26, skol25, skol20,
% 2.86/3.27 skol20 ) }.
% 2.86/3.27 substitution0:
% 2.86/3.27 end
% 2.86/3.27 permutation0:
% 2.86/3.27 0 ==> 0
% 2.86/3.27 end
% 2.86/3.27
% 2.86/3.27 resolution: (20942) {G1,W7,D3,L1,V0,M1} { perp( skol12( skol25, skol26 ),
% 2.86/3.27 skol25, skol25, skol26 ) }.
% 2.86/3.27 parent0[0]: (100) {G0,W12,D3,L2,V4,M2} I { ! circle( Y, X, Z, T ), perp(
% 2.86/3.27 skol12( X, Y ), X, X, Y ) }.
% 2.86/3.27 parent1[0]: (7325) {G2,W5,D2,L1,V0,M1} R(132,2544) { circle( skol26, skol25
% 2.86/3.27 , skol20, skol20 ) }.
% 2.86/3.27 substitution0:
% 2.86/3.27 X := skol25
% 2.86/3.27 Y := skol26
% 2.86/3.27 Z := skol20
% 2.86/3.27 T := skol20
% 2.86/3.27 end
% 2.86/3.27 substitution1:
% 2.86/3.27 end
% 2.86/3.27
% 2.86/3.27 subsumption: (7334) {G3,W7,D3,L1,V0,M1} R(7325,100) { perp( skol12( skol25
% 2.86/3.27 , skol26 ), skol25, skol25, skol26 ) }.
% 2.86/3.27 parent0: (20942) {G1,W7,D3,L1,V0,M1} { perp( skol12( skol25, skol26 ),
% 2.86/3.27 skol25, skol25, skol26 ) }.
% 2.86/3.27 substitution0:
% 2.86/3.27 end
% 2.86/3.27 permutation0:
% 2.86/3.27 0 ==> 0
% 2.86/3.27 end
% 2.86/3.27
% 2.86/3.27 resolution: (20943) {G2,W5,D2,L1,V0,M1} { cyclic( skol25, skol20, skol20,
% 2.86/3.27 skol20 ) }.
% 2.86/3.27 parent0[0]: (136) {G2,W10,D2,L2,V3,M2} F(135) { ! cong( X, Y, X, Z ),
% 2.86/3.27 cyclic( Y, Z, Z, Z ) }.
% 2.86/3.27 parent1[0]: (2544) {G1,W5,D2,L1,V0,M1} R(68,116) { cong( skol26, skol25,
% 2.86/3.27 skol26, skol20 ) }.
% 2.86/3.27 substitution0:
% 2.86/3.27 X := skol26
% 2.86/3.27 Y := skol25
% 2.86/3.27 Z := skol20
% 2.86/3.27 end
% 2.86/3.27 substitution1:
% 2.86/3.27 end
% 2.86/3.27
% 2.86/3.27 subsumption: (7481) {G3,W5,D2,L1,V0,M1} R(136,2544) { cyclic( skol25,
% 2.86/3.27 skol20, skol20, skol20 ) }.
% 2.86/3.27 parent0: (20943) {G2,W5,D2,L1,V0,M1} { cyclic( skol25, skol20, skol20,
% 2.86/3.27 skol20 ) }.
% 2.86/3.27 substitution0:
% 2.86/3.27 end
% 2.86/3.27 permutation0:
% 2.86/3.27 0 ==> 0
% 2.86/3.27 end
% 2.86/3.27
% 2.86/3.27 resolution: (20944) {G2,W5,D2,L1,V0,M1} { cyclic( skol20, skol20, skol20,
% 2.86/3.27 skol20 ) }.
% 2.86/3.27 parent0[0]: (137) {G1,W10,D2,L2,V4,M2} F(16) { ! cyclic( X, Y, Z, T ),
% 2.86/3.27 cyclic( Y, Z, T, T ) }.
% 2.86/3.27 parent1[0]: (7481) {G3,W5,D2,L1,V0,M1} R(136,2544) { cyclic( skol25, skol20
% 2.86/3.27 , skol20, skol20 ) }.
% 2.86/3.27 substitution0:
% 2.86/3.27 X := skol25
% 2.86/3.27 Y := skol20
% 2.86/3.27 Z := skol20
% 2.86/3.27 T := skol20
% 2.86/3.27 end
% 2.86/3.27 substitution1:
% 2.86/3.27 end
% 2.86/3.27
% 2.86/3.27 subsumption: (7514) {G4,W5,D2,L1,V0,M1} R(137,7481) { cyclic( skol20,
% 2.86/3.27 skol20, skol20, skol20 ) }.
% 2.86/3.27 parent0: (20944) {G2,W5,D2,L1,V0,M1} { cyclic( skol20, skol20, skol20,
% 2.86/3.27 skol20 ) }.
% 2.86/3.27 substitution0:
% 2.86/3.27 end
% 2.86/3.27 permutation0:
% 2.86/3.27 0 ==> 0
% 2.86/3.27 end
% 2.86/3.27
% 2.86/3.27 resolution: (20945) {G2,W18,D3,L4,V2,M4} { ! midp( X, skol25, skol20 ), !
% 2.86/3.27 coll( skol25, skol25, skol20 ), midp( skol7( skol25, Y ), skol25, Y ), !
% 2.86/3.27 midp( skol26, skol25, skol20 ) }.
% 2.86/3.27 parent0[2]: (152) {G1,W18,D3,L4,V4,M4} F(88) { ! midp( X, Y, Z ), ! coll( Y
% 2.86/3.27 , Y, Z ), ! coll( Z, Y, Z ), midp( skol7( Y, T ), Y, T ) }.
% 2.86/3.27 parent1[0]: (3776) {G7,W8,D2,L2,V1,M2} R(3062,991) { coll( skol20, skol25,
% 2.86/3.27 X ), ! midp( skol26, skol25, X ) }.
% 2.86/3.27 substitution0:
% 2.86/3.27 X := X
% 2.86/3.27 Y := skol25
% 2.86/3.27 Z := skol20
% 2.86/3.27 T := Y
% 2.86/3.27 end
% 2.86/3.27 substitution1:
% 2.86/3.27 X := skol20
% 2.86/3.27 end
% 2.86/3.27
% 2.86/3.27 resolution: (20948) {G3,W14,D3,L3,V2,M3} { ! midp( X, skol25, skol20 ),
% 2.86/3.27 midp( skol7( skol25, Y ), skol25, Y ), ! midp( skol26, skol25, skol20 )
% 2.86/3.27 }.
% 2.86/3.27 parent0[1]: (20945) {G2,W18,D3,L4,V2,M4} { ! midp( X, skol25, skol20 ), !
% 2.86/3.27 coll( skol25, skol25, skol20 ), midp( skol7( skol25, Y ), skol25, Y ), !
% 2.86/3.27 midp( skol26, skol25, skol20 ) }.
% 2.86/3.27 parent1[0]: (1030) {G11,W4,D2,L1,V0,M1} R(1014,758) { coll( skol25, skol25
% 2.86/3.27 , skol20 ) }.
% 2.86/3.27 substitution0:
% 2.86/3.27 X := X
% 2.86/3.27 Y := Y
% 2.86/3.27 end
% 2.86/3.27 substitution1:
% 2.86/3.27 end
% 2.86/3.27
% 2.86/3.27 subsumption: (8171) {G12,W14,D3,L3,V2,M3} R(152,3776);r(1030) { ! midp( X,
% 2.86/3.27 skol25, skol20 ), midp( skol7( skol25, Y ), skol25, Y ), ! midp( skol26,
% 2.86/3.27 skol25, skol20 ) }.
% 2.86/3.27 parent0: (20948) {G3,W14,D3,L3,V2,M3} { ! midp( X, skol25, skol20 ), midp
% 2.86/3.27 ( skol7( skol25, Y ), skol25, Y ), ! midp( skol26, skol25, skol20 ) }.
% 2.86/3.27 substitution0:
% 2.86/3.27 X := X
% 2.86/3.27 Y := Y
% 2.86/3.27 end
% 2.86/3.27 permutation0:
% 2.86/3.27 0 ==> 0
% 2.86/3.27 1 ==> 1
% 2.86/3.27 2 ==> 2
% 2.86/3.27 end
% 2.86/3.27
% 2.86/3.27 resolution: (20950) {G2,W18,D3,L4,V2,M4} { ! midp( X, skol20, skol25 ), !
% 2.86/3.27 coll( skol25, skol20, skol25 ), midp( skol7( skol20, Y ), skol20, Y ), !
% 2.86/3.27 midp( skol26, skol20, skol25 ) }.
% 2.86/3.27 parent0[1]: (152) {G1,W18,D3,L4,V4,M4} F(88) { ! midp( X, Y, Z ), ! coll( Y
% 2.86/3.27 , Y, Z ), ! coll( Z, Y, Z ), midp( skol7( Y, T ), Y, T ) }.
% 2.86/3.27 parent1[1]: (3799) {G8,W8,D2,L2,V1,M2} R(3772,0) { ! midp( skol26, X,
% 2.86/3.27 skol25 ), coll( skol20, X, skol25 ) }.
% 2.86/3.27 substitution0:
% 2.86/3.27 X := X
% 2.86/3.27 Y := skol20
% 2.86/3.27 Z := skol25
% 2.86/3.27 T := Y
% 2.86/3.27 end
% 2.86/3.27 substitution1:
% 2.86/3.27 X := skol20
% 2.86/3.27 end
% 2.86/3.27
% 2.86/3.27 resolution: (20953) {G3,W14,D3,L3,V2,M3} { ! midp( X, skol20, skol25 ),
% 2.86/3.27 midp( skol7( skol20, Y ), skol20, Y ), ! midp( skol26, skol20, skol25 )
% 2.86/3.27 }.
% 2.86/3.27 parent0[1]: (20950) {G2,W18,D3,L4,V2,M4} { ! midp( X, skol20, skol25 ), !
% 2.86/3.27 coll( skol25, skol20, skol25 ), midp( skol7( skol20, Y ), skol20, Y ), !
% 2.86/3.27 midp( skol26, skol20, skol25 ) }.
% 2.86/3.27 parent1[0]: (1024) {G4,W4,D2,L1,V0,M1} R(1014,354) { coll( skol25, skol20,
% 2.86/3.27 skol25 ) }.
% 2.86/3.27 substitution0:
% 2.86/3.27 X := X
% 2.86/3.27 Y := Y
% 2.86/3.27 end
% 2.86/3.27 substitution1:
% 2.86/3.27 end
% 2.86/3.27
% 2.86/3.27 subsumption: (8183) {G9,W14,D3,L3,V2,M3} R(152,3799);r(1024) { ! midp( X,
% 2.86/3.27 skol20, skol25 ), midp( skol7( skol20, Y ), skol20, Y ), ! midp( skol26,
% 2.86/3.27 skol20, skol25 ) }.
% 2.86/3.27 parent0: (20953) {G3,W14,D3,L3,V2,M3} { ! midp( X, skol20, skol25 ), midp
% 2.86/3.27 ( skol7( skol20, Y ), skol20, Y ), ! midp( skol26, skol20, skol25 ) }.
% 2.86/3.27 substitution0:
% 2.86/3.27 X := X
% 2.86/3.27 Y := Y
% 2.86/3.27 end
% 2.86/3.27 permutation0:
% 2.86/3.27 0 ==> 0
% 2.86/3.27 1 ==> 1
% 2.86/3.27 2 ==> 2
% 2.86/3.27 end
% 2.86/3.27
% 2.86/3.27 factor: (20955) {G9,W10,D3,L2,V1,M2} { ! midp( skol26, skol20, skol25 ),
% 2.86/3.27 midp( skol7( skol20, X ), skol20, X ) }.
% 2.86/3.27 parent0[0, 2]: (8183) {G9,W14,D3,L3,V2,M3} R(152,3799);r(1024) { ! midp( X
% 2.86/3.27 , skol20, skol25 ), midp( skol7( skol20, Y ), skol20, Y ), ! midp( skol26
% 2.86/3.27 , skol20, skol25 ) }.
% 2.86/3.27 substitution0:
% 2.86/3.27 X := skol26
% 2.86/3.27 Y := X
% 2.86/3.27 end
% 2.86/3.27
% 2.86/3.27 resolution: (20956) {G2,W6,D3,L1,V1,M1} { midp( skol7( skol20, X ), skol20
% 2.86/3.27 , X ) }.
% 2.86/3.27 parent0[0]: (20955) {G9,W10,D3,L2,V1,M2} { ! midp( skol26, skol20, skol25
% 2.86/3.27 ), midp( skol7( skol20, X ), skol20, X ) }.
% 2.86/3.27 parent1[0]: (327) {G1,W4,D2,L1,V0,M1} R(10,116) { midp( skol26, skol20,
% 2.86/3.27 skol25 ) }.
% 2.86/3.27 substitution0:
% 2.86/3.27 X := X
% 2.86/3.27 end
% 2.86/3.27 substitution1:
% 2.86/3.27 end
% 2.86/3.27
% 2.86/3.27 subsumption: (8298) {G10,W6,D3,L1,V1,M1} F(8183);r(327) { midp( skol7(
% 2.86/3.27 skol20, X ), skol20, X ) }.
% 2.86/3.27 parent0: (20956) {G2,W6,D3,L1,V1,M1} { midp( skol7( skol20, X ), skol20, X
% 2.86/3.27 ) }.
% 2.86/3.27 substitution0:
% 2.86/3.27 X := X
% 2.86/3.27 end
% 2.86/3.27 permutation0:
% 2.86/3.27 0 ==> 0
% 2.86/3.27 end
% 2.86/3.27
% 2.86/3.27 factor: (20957) {G12,W10,D3,L2,V1,M2} { ! midp( skol26, skol25, skol20 ),
% 2.86/3.27 midp( skol7( skol25, X ), skol25, X ) }.
% 2.86/3.27 parent0[0, 2]: (8171) {G12,W14,D3,L3,V2,M3} R(152,3776);r(1030) { ! midp( X
% 2.86/3.27 , skol25, skol20 ), midp( skol7( skol25, Y ), skol25, Y ), ! midp( skol26
% 2.86/3.27 , skol25, skol20 ) }.
% 2.86/3.27 substitution0:
% 2.86/3.27 X := skol26
% 2.86/3.27 Y := X
% 2.86/3.27 end
% 2.86/3.27
% 2.86/3.27 resolution: (20958) {G1,W6,D3,L1,V1,M1} { midp( skol7( skol25, X ), skol25
% 2.86/3.27 , X ) }.
% 2.86/3.27 parent0[0]: (20957) {G12,W10,D3,L2,V1,M2} { ! midp( skol26, skol25, skol20
% 2.86/3.27 ), midp( skol7( skol25, X ), skol25, X ) }.
% 2.86/3.27 parent1[0]: (116) {G0,W4,D2,L1,V0,M1} I { midp( skol26, skol25, skol20 )
% 2.86/3.27 }.
% 2.86/3.27 substitution0:
% 2.86/3.27 X := X
% 2.86/3.27 end
% 2.86/3.27 substitution1:
% 2.86/3.27 end
% 2.86/3.27
% 2.86/3.27 subsumption: (8299) {G13,W6,D3,L1,V1,M1} F(8171);r(116) { midp( skol7(
% 2.86/3.27 skol25, X ), skol25, X ) }.
% 2.86/3.27 parent0: (20958) {G1,W6,D3,L1,V1,M1} { midp( skol7( skol25, X ), skol25, X
% 2.86/3.27 ) }.
% 2.86/3.27 substitution0:
% 2.86/3.27 X := X
% 2.86/3.27 end
% 2.86/3.27 permutation0:
% 2.86/3.27 0 ==> 0
% 2.86/3.27 end
% 2.86/3.27
% 2.86/3.27 resolution: (20959) {G12,W4,D2,L1,V1,M1} { coll( skol25, skol25, X ) }.
% 2.86/3.27 parent0[0]: (999) {G11,W8,D2,L2,V3,M2} R(69,759) { ! midp( X, Y, Z ), coll
% 2.86/3.27 ( Y, Y, Z ) }.
% 2.86/3.27 parent1[0]: (8299) {G13,W6,D3,L1,V1,M1} F(8171);r(116) { midp( skol7(
% 2.86/3.27 skol25, X ), skol25, X ) }.
% 2.86/3.27 substitution0:
% 2.86/3.27 X := skol7( skol25, X )
% 2.86/3.27 Y := skol25
% 2.86/3.27 Z := X
% 2.86/3.27 end
% 2.86/3.27 substitution1:
% 2.86/3.27 X := X
% 2.86/3.27 end
% 2.86/3.27
% 2.86/3.27 subsumption: (8343) {G14,W4,D2,L1,V1,M1} R(8299,999) { coll( skol25, skol25
% 2.86/3.27 , X ) }.
% 2.86/3.27 parent0: (20959) {G12,W4,D2,L1,V1,M1} { coll( skol25, skol25, X ) }.
% 2.86/3.27 substitution0:
% 2.86/3.27 X := X
% 2.86/3.27 end
% 2.86/3.27 permutation0:
% 2.86/3.27 0 ==> 0
% 2.86/3.27 end
% 2.86/3.27
% 2.86/3.27 resolution: (20960) {G1,W8,D2,L2,V2,M2} { ! coll( skol25, skol25, Y ),
% 2.86/3.27 coll( X, Y, skol25 ) }.
% 2.86/3.27 parent0[0]: (2) {G0,W12,D2,L3,V4,M3} I { ! coll( X, T, Y ), ! coll( X, T, Z
% 2.86/3.27 ), coll( Y, Z, X ) }.
% 2.86/3.27 parent1[0]: (8343) {G14,W4,D2,L1,V1,M1} R(8299,999) { coll( skol25, skol25
% 2.86/3.27 , X ) }.
% 2.86/3.27 substitution0:
% 2.86/3.27 X := skol25
% 2.86/3.27 Y := X
% 2.86/3.27 Z := Y
% 2.86/3.27 T := skol25
% 2.86/3.27 end
% 2.86/3.27 substitution1:
% 2.86/3.27 X := X
% 2.86/3.27 end
% 2.86/3.27
% 2.86/3.27 resolution: (20962) {G2,W4,D2,L1,V2,M1} { coll( Y, X, skol25 ) }.
% 2.86/3.27 parent0[0]: (20960) {G1,W8,D2,L2,V2,M2} { ! coll( skol25, skol25, Y ),
% 2.86/3.27 coll( X, Y, skol25 ) }.
% 2.86/3.27 parent1[0]: (8343) {G14,W4,D2,L1,V1,M1} R(8299,999) { coll( skol25, skol25
% 2.86/3.27 , X ) }.
% 2.86/3.27 substitution0:
% 2.86/3.27 X := Y
% 2.86/3.27 Y := X
% 2.86/3.27 end
% 2.86/3.27 substitution1:
% 2.86/3.27 X := X
% 2.86/3.27 end
% 2.86/3.27
% 2.86/3.27 subsumption: (8406) {G15,W4,D2,L1,V2,M1} R(8343,2);r(8343) { coll( Y, X,
% 2.86/3.27 skol25 ) }.
% 2.86/3.27 parent0: (20962) {G2,W4,D2,L1,V2,M1} { coll( Y, X, skol25 ) }.
% 2.86/3.27 substitution0:
% 2.86/3.27 X := X
% 2.86/3.27 Y := Y
% 2.86/3.27 end
% 2.86/3.27 permutation0:
% 2.86/3.27 0 ==> 0
% 2.86/3.27 end
% 2.86/3.27
% 2.86/3.27 resolution: (20963) {G2,W4,D2,L1,V2,M1} { coll( Y, skol25, X ) }.
% 2.86/3.27 parent0[0]: (177) {G1,W8,D2,L2,V3,M2} R(1,0) { ! coll( X, Y, Z ), coll( Y,
% 2.86/3.27 Z, X ) }.
% 2.86/3.27 parent1[0]: (8406) {G15,W4,D2,L1,V2,M1} R(8343,2);r(8343) { coll( Y, X,
% 2.86/3.27 skol25 ) }.
% 2.86/3.27 substitution0:
% 2.86/3.27 X := X
% 2.86/3.27 Y := Y
% 2.86/3.27 Z := skol25
% 2.86/3.27 end
% 2.86/3.27 substitution1:
% 2.86/3.27 X := Y
% 2.86/3.27 Y := X
% 2.86/3.27 end
% 2.86/3.27
% 2.86/3.27 subsumption: (8427) {G16,W4,D2,L1,V2,M1} R(8406,177) { coll( X, skol25, Y )
% 2.86/3.27 }.
% 2.86/3.27 parent0: (20963) {G2,W4,D2,L1,V2,M1} { coll( Y, skol25, X ) }.
% 2.86/3.27 substitution0:
% 2.86/3.27 X := Y
% 2.86/3.27 Y := X
% 2.86/3.27 end
% 2.86/3.27 permutation0:
% 2.86/3.27 0 ==> 0
% 2.86/3.27 end
% 2.86/3.27
% 2.86/3.27 resolution: (20964) {G1,W8,D2,L2,V3,M2} { ! coll( X, skol25, Z ), coll( Y
% 2.86/3.27 , Z, X ) }.
% 2.86/3.27 parent0[0]: (2) {G0,W12,D2,L3,V4,M3} I { ! coll( X, T, Y ), ! coll( X, T, Z
% 2.86/3.27 ), coll( Y, Z, X ) }.
% 2.86/3.27 parent1[0]: (8427) {G16,W4,D2,L1,V2,M1} R(8406,177) { coll( X, skol25, Y )
% 2.86/3.27 }.
% 2.86/3.27 substitution0:
% 2.86/3.27 X := X
% 2.86/3.27 Y := Y
% 2.86/3.27 Z := Z
% 2.86/3.27 T := skol25
% 2.86/3.27 end
% 2.86/3.27 substitution1:
% 2.86/3.27 X := X
% 2.86/3.27 Y := Y
% 2.86/3.27 end
% 2.86/3.27
% 2.86/3.27 resolution: (20966) {G2,W4,D2,L1,V3,M1} { coll( Z, Y, X ) }.
% 2.86/3.27 parent0[0]: (20964) {G1,W8,D2,L2,V3,M2} { ! coll( X, skol25, Z ), coll( Y
% 2.86/3.27 , Z, X ) }.
% 2.86/3.27 parent1[0]: (8427) {G16,W4,D2,L1,V2,M1} R(8406,177) { coll( X, skol25, Y )
% 2.86/3.27 }.
% 2.86/3.27 substitution0:
% 2.86/3.27 X := X
% 2.86/3.27 Y := Z
% 2.86/3.27 Z := Y
% 2.86/3.27 end
% 2.86/3.27 substitution1:
% 2.86/3.27 X := X
% 2.86/3.27 Y := Y
% 2.86/3.27 end
% 2.86/3.27
% 2.86/3.27 subsumption: (8441) {G17,W4,D2,L1,V3,M1} R(8427,2);r(8427) { coll( Z, Y, X
% 2.86/3.27 ) }.
% 2.86/3.27 parent0: (20966) {G2,W4,D2,L1,V3,M1} { coll( Z, Y, X ) }.
% 2.86/3.27 substitution0:
% 2.86/3.27 X := X
% 2.86/3.27 Y := Y
% 2.86/3.27 Z := Z
% 2.86/3.27 end
% 2.86/3.27 permutation0:
% 2.86/3.27 0 ==> 0
% 2.86/3.27 end
% 2.86/3.27
% 2.86/3.27 resolution: (20967) {G1,W9,D2,L2,V4,M2} { ! perp( T, X, Y, Z ), alpha1( Z
% 2.86/3.27 , T, Y ) }.
% 2.86/3.27 parent0[0]: (99) {G0,W13,D2,L3,V4,M3} I { ! coll( T, Z, X ), ! perp( Y, T,
% 2.86/3.27 Z, X ), alpha1( X, Y, Z ) }.
% 2.86/3.27 parent1[0]: (8441) {G17,W4,D2,L1,V3,M1} R(8427,2);r(8427) { coll( Z, Y, X )
% 2.86/3.27 }.
% 2.86/3.27 substitution0:
% 2.86/3.27 X := Z
% 2.86/3.27 Y := T
% 2.86/3.27 Z := Y
% 2.86/3.27 T := X
% 2.86/3.27 end
% 2.86/3.27 substitution1:
% 2.86/3.27 X := Z
% 2.86/3.27 Y := Y
% 2.86/3.27 Z := X
% 2.86/3.27 end
% 2.86/3.27
% 2.86/3.27 subsumption: (8447) {G18,W9,D2,L2,V4,M2} S(99);r(8441) { ! perp( Y, T, Z, X
% 2.86/3.27 ), alpha1( X, Y, Z ) }.
% 2.86/3.27 parent0: (20967) {G1,W9,D2,L2,V4,M2} { ! perp( T, X, Y, Z ), alpha1( Z, T
% 2.86/3.27 , Y ) }.
% 2.86/3.27 substitution0:
% 2.86/3.27 X := T
% 2.86/3.27 Y := Z
% 2.86/3.27 Z := X
% 2.86/3.27 T := Y
% 2.86/3.27 end
% 2.86/3.27 permutation0:
% 2.86/3.27 0 ==> 0
% 2.86/3.27 1 ==> 1
% 2.86/3.27 end
% 2.86/3.27
% 2.86/3.27 resolution: (20968) {G2,W5,D2,L1,V1,M1} { para( skol20, skol20, X, X ) }.
% 2.86/3.27 parent0[0]: (145) {G1,W9,D2,L2,V3,M2} F(63) { ! midp( X, Y, Z ), para( Y, Y
% 2.86/3.27 , Z, Z ) }.
% 2.86/3.27 parent1[0]: (8298) {G10,W6,D3,L1,V1,M1} F(8183);r(327) { midp( skol7(
% 2.86/3.27 skol20, X ), skol20, X ) }.
% 2.86/3.27 substitution0:
% 2.86/3.27 X := skol7( skol20, X )
% 2.86/3.27 Y := skol20
% 2.86/3.27 Z := X
% 2.86/3.27 end
% 2.86/3.27 substitution1:
% 2.86/3.27 X := X
% 2.86/3.27 end
% 2.86/3.27
% 2.86/3.27 subsumption: (8492) {G11,W5,D2,L1,V1,M1} R(8298,145) { para( skol20, skol20
% 2.86/3.27 , X, X ) }.
% 2.86/3.27 parent0: (20968) {G2,W5,D2,L1,V1,M1} { para( skol20, skol20, X, X ) }.
% 2.86/3.27 substitution0:
% 2.86/3.27 X := X
% 2.86/3.27 end
% 2.86/3.27 permutation0:
% 2.86/3.27 0 ==> 0
% 2.86/3.27 end
% 2.86/3.27
% 2.86/3.27 resolution: (20969) {G1,W6,D3,L1,V1,M1} { midp( skol7( skol20, X ), X,
% 2.86/3.27 skol20 ) }.
% 2.86/3.27 parent0[0]: (10) {G0,W8,D2,L2,V3,M2} I { ! midp( Z, Y, X ), midp( Z, X, Y )
% 2.86/3.27 }.
% 2.86/3.27 parent1[0]: (8298) {G10,W6,D3,L1,V1,M1} F(8183);r(327) { midp( skol7(
% 2.86/3.27 skol20, X ), skol20, X ) }.
% 2.86/3.27 substitution0:
% 2.86/3.27 X := X
% 2.86/3.27 Y := skol20
% 2.86/3.27 Z := skol7( skol20, X )
% 2.86/3.27 end
% 2.86/3.27 substitution1:
% 2.86/3.27 X := X
% 2.86/3.27 end
% 2.86/3.27
% 2.86/3.27 subsumption: (8503) {G11,W6,D3,L1,V1,M1} R(8298,10) { midp( skol7( skol20,
% 2.86/3.27 X ), X, skol20 ) }.
% 2.86/3.27 parent0: (20969) {G1,W6,D3,L1,V1,M1} { midp( skol7( skol20, X ), X, skol20
% 2.86/3.27 ) }.
% 2.86/3.27 substitution0:
% 2.86/3.27 X := X
% 2.86/3.27 end
% 2.86/3.27 permutation0:
% 2.86/3.27 0 ==> 0
% 2.86/3.27 end
% 2.86/3.27
% 2.86/3.27 resolution: (20970) {G1,W5,D2,L1,V1,M1} { para( X, X, skol20, skol20 ) }.
% 2.86/3.27 parent0[0]: (4) {G0,W10,D2,L2,V4,M2} I { ! para( X, Y, Z, T ), para( Z, T,
% 2.86/3.27 X, Y ) }.
% 2.86/3.27 parent1[0]: (8492) {G11,W5,D2,L1,V1,M1} R(8298,145) { para( skol20, skol20
% 2.86/3.27 , X, X ) }.
% 2.86/3.27 substitution0:
% 2.86/3.27 X := skol20
% 2.86/3.27 Y := skol20
% 2.86/3.27 Z := X
% 2.86/3.27 T := X
% 2.86/3.27 end
% 2.86/3.27 substitution1:
% 2.86/3.27 X := X
% 2.86/3.27 end
% 2.86/3.27
% 2.86/3.27 subsumption: (8510) {G12,W5,D2,L1,V1,M1} R(8492,4) { para( X, X, skol20,
% 2.86/3.27 skol20 ) }.
% 2.86/3.27 parent0: (20970) {G1,W5,D2,L1,V1,M1} { para( X, X, skol20, skol20 ) }.
% 2.86/3.27 substitution0:
% 2.86/3.27 X := X
% 2.86/3.27 end
% 2.86/3.27 permutation0:
% 2.86/3.27 0 ==> 0
% 2.86/3.27 end
% 2.86/3.27
% 2.86/3.27 resolution: (20971) {G1,W9,D2,L1,V3,M1} { eqangle( X, X, Y, Z, skol20,
% 2.86/3.27 skol20, Y, Z ) }.
% 2.86/3.27 parent0[0]: (39) {G0,W14,D2,L2,V6,M2} I { ! para( X, Y, Z, T ), eqangle( X
% 2.86/3.27 , Y, U, W, Z, T, U, W ) }.
% 2.86/3.27 parent1[0]: (8510) {G12,W5,D2,L1,V1,M1} R(8492,4) { para( X, X, skol20,
% 2.86/3.27 skol20 ) }.
% 2.86/3.27 substitution0:
% 2.86/3.27 X := X
% 2.86/3.27 Y := X
% 2.86/3.27 Z := skol20
% 2.86/3.27 T := skol20
% 2.86/3.27 U := Y
% 2.86/3.27 W := Z
% 2.86/3.27 end
% 2.86/3.27 substitution1:
% 2.86/3.27 X := X
% 2.86/3.27 end
% 2.86/3.27
% 2.86/3.27 subsumption: (8513) {G13,W9,D2,L1,V3,M1} R(8510,39) { eqangle( X, X, Y, Z,
% 2.86/3.27 skol20, skol20, Y, Z ) }.
% 2.86/3.27 parent0: (20971) {G1,W9,D2,L1,V3,M1} { eqangle( X, X, Y, Z, skol20, skol20
% 2.86/3.27 , Y, Z ) }.
% 2.86/3.27 substitution0:
% 2.86/3.27 X := X
% 2.86/3.27 Y := Y
% 2.86/3.27 Z := Z
% 2.86/3.27 end
% 2.86/3.27 permutation0:
% 2.86/3.27 0 ==> 0
% 2.86/3.27 end
% 2.86/3.27
% 2.86/3.27 resolution: (20972) {G1,W7,D3,L1,V0,M1} { perp( skol25, skol26, skol12(
% 2.86/3.27 skol25, skol26 ), skol25 ) }.
% 2.86/3.27 parent0[0]: (7) {G0,W10,D2,L2,V4,M2} I { ! perp( X, Y, Z, T ), perp( Z, T,
% 2.86/3.27 X, Y ) }.
% 2.86/3.27 parent1[0]: (7334) {G3,W7,D3,L1,V0,M1} R(7325,100) { perp( skol12( skol25,
% 2.86/3.27 skol26 ), skol25, skol25, skol26 ) }.
% 2.86/3.27 substitution0:
% 2.86/3.27 X := skol12( skol25, skol26 )
% 2.86/3.27 Y := skol25
% 2.86/3.27 Z := skol25
% 2.86/3.27 T := skol26
% 2.86/3.27 end
% 2.86/3.27 substitution1:
% 2.86/3.27 end
% 2.86/3.27
% 2.86/3.27 subsumption: (8537) {G4,W7,D3,L1,V0,M1} R(7334,7) { perp( skol25, skol26,
% 2.86/3.27 skol12( skol25, skol26 ), skol25 ) }.
% 2.86/3.27 parent0: (20972) {G1,W7,D3,L1,V0,M1} { perp( skol25, skol26, skol12(
% 2.86/3.27 skol25, skol26 ), skol25 ) }.
% 2.86/3.27 substitution0:
% 2.86/3.27 end
% 2.86/3.27 permutation0:
% 2.86/3.27 0 ==> 0
% 2.86/3.27 end
% 2.86/3.27
% 2.86/3.27 resolution: (20973) {G1,W7,D3,L1,V0,M1} { perp( skol25, skol26, skol25,
% 2.86/3.27 skol12( skol25, skol26 ) ) }.
% 2.86/3.27 parent0[0]: (6) {G0,W10,D2,L2,V4,M2} I { ! perp( X, Y, Z, T ), perp( X, Y,
% 2.86/3.27 T, Z ) }.
% 2.86/3.27 parent1[0]: (8537) {G4,W7,D3,L1,V0,M1} R(7334,7) { perp( skol25, skol26,
% 2.86/3.27 skol12( skol25, skol26 ), skol25 ) }.
% 2.86/3.27 substitution0:
% 2.86/3.27 X := skol25
% 2.86/3.27 Y := skol26
% 2.86/3.27 Z := skol12( skol25, skol26 )
% 2.86/3.27 T := skol25
% 2.86/3.27 end
% 2.86/3.27 substitution1:
% 2.86/3.27 end
% 2.86/3.27
% 2.86/3.27 subsumption: (8544) {G5,W7,D3,L1,V0,M1} R(8537,6) { perp( skol25, skol26,
% 2.86/3.27 skol25, skol12( skol25, skol26 ) ) }.
% 2.86/3.27 parent0: (20973) {G1,W7,D3,L1,V0,M1} { perp( skol25, skol26, skol25,
% 2.86/3.27 skol12( skol25, skol26 ) ) }.
% 2.86/3.27 substitution0:
% 2.86/3.27 end
% 2.86/3.27 permutation0:
% 2.86/3.27 0 ==> 0
% 2.86/3.27 end
% 2.86/3.27
% 2.86/3.27 resolution: (20974) {G1,W7,D3,L1,V0,M1} { perp( skol25, skol12( skol25,
% 2.86/3.27 skol26 ), skol25, skol26 ) }.
% 2.86/3.27 parent0[0]: (7) {G0,W10,D2,L2,V4,M2} I { ! perp( X, Y, Z, T ), perp( Z, T,
% 2.86/3.27 X, Y ) }.
% 2.86/3.27 parent1[0]: (8544) {G5,W7,D3,L1,V0,M1} R(8537,6) { perp( skol25, skol26,
% 2.86/3.27 skol25, skol12( skol25, skol26 ) ) }.
% 2.86/3.27 substitution0:
% 2.86/3.27 X := skol25
% 2.86/3.27 Y := skol26
% 2.86/3.27 Z := skol25
% 2.86/3.27 T := skol12( skol25, skol26 )
% 2.86/3.27 end
% 2.86/3.27 substitution1:
% 2.86/3.27 end
% 2.86/3.27
% 2.86/3.27 subsumption: (8551) {G6,W7,D3,L1,V0,M1} R(8544,7) { perp( skol25, skol12(
% 2.86/3.27 skol25, skol26 ), skol25, skol26 ) }.
% 2.86/3.27 parent0: (20974) {G1,W7,D3,L1,V0,M1} { perp( skol25, skol12( skol25,
% 2.86/3.27 skol26 ), skol25, skol26 ) }.
% 2.86/3.27 substitution0:
% 2.86/3.27 end
% 2.86/3.27 permutation0:
% 2.86/3.27 0 ==> 0
% 2.86/3.27 end
% 2.86/3.27
% 2.86/3.27 resolution: (20975) {G2,W8,D3,L1,V0,M1} { perp( skol25, skol10( skol25,
% 2.86/3.27 skol25, skol26 ), skol26, skol25 ) }.
% 2.86/3.27 parent0[0]: (158) {G1,W13,D3,L2,V3,M2} F(95) { ! perp( X, Y, X, Z ), perp(
% 2.86/3.27 X, skol10( X, X, Z ), Z, X ) }.
% 2.86/3.27 parent1[0]: (8551) {G6,W7,D3,L1,V0,M1} R(8544,7) { perp( skol25, skol12(
% 2.86/3.27 skol25, skol26 ), skol25, skol26 ) }.
% 2.86/3.27 substitution0:
% 2.86/3.27 X := skol25
% 2.86/3.27 Y := skol12( skol25, skol26 )
% 2.86/3.27 Z := skol26
% 2.86/3.27 end
% 2.86/3.27 substitution1:
% 2.86/3.27 end
% 2.86/3.27
% 2.86/3.27 subsumption: (8554) {G7,W8,D3,L1,V0,M1} R(8551,158) { perp( skol25, skol10
% 2.86/3.27 ( skol25, skol25, skol26 ), skol26, skol25 ) }.
% 2.86/3.27 parent0: (20975) {G2,W8,D3,L1,V0,M1} { perp( skol25, skol10( skol25,
% 2.86/3.27 skol25, skol26 ), skol26, skol25 ) }.
% 2.86/3.27 substitution0:
% 2.86/3.27 end
% 2.86/3.27 permutation0:
% 2.86/3.27 0 ==> 0
% 2.86/3.27 end
% 2.86/3.27
% 2.86/3.27 resolution: (20976) {G2,W8,D3,L1,V0,M1} { perp( skol25, skol10( skol25,
% 2.86/3.27 skol25, skol29 ), skol29, skol25 ) }.
% 2.86/3.27 parent0[0]: (158) {G1,W13,D3,L2,V3,M2} F(95) { ! perp( X, Y, X, Z ), perp(
% 2.86/3.27 X, skol10( X, X, Z ), Z, X ) }.
% 2.86/3.27 parent1[0]: (7323) {G4,W7,D3,L1,V0,M1} R(7313,7) { perp( skol25, skol12(
% 2.86/3.27 skol25, skol29 ), skol25, skol29 ) }.
% 2.86/3.27 substitution0:
% 2.86/3.27 X := skol25
% 2.86/3.27 Y := skol12( skol25, skol29 )
% 2.86/3.27 Z := skol29
% 2.86/3.27 end
% 2.86/3.27 substitution1:
% 2.86/3.27 end
% 2.86/3.27
% 2.86/3.27 subsumption: (8593) {G5,W8,D3,L1,V0,M1} R(7323,158) { perp( skol25, skol10
% 2.86/3.27 ( skol25, skol25, skol29 ), skol29, skol25 ) }.
% 2.86/3.27 parent0: (20976) {G2,W8,D3,L1,V0,M1} { perp( skol25, skol10( skol25,
% 2.86/3.27 skol25, skol29 ), skol29, skol25 ) }.
% 2.86/3.27 substitution0:
% 2.86/3.27 end
% 2.86/3.27 permutation0:
% 2.86/3.27 0 ==> 0
% 2.86/3.27 end
% 2.86/3.27
% 2.86/3.27 resolution: (20977) {G1,W8,D3,L1,V0,M1} { perp( skol29, skol25, skol25,
% 2.86/3.27 skol10( skol25, skol25, skol29 ) ) }.
% 2.86/3.27 parent0[0]: (7) {G0,W10,D2,L2,V4,M2} I { ! perp( X, Y, Z, T ), perp( Z, T,
% 2.86/3.27 X, Y ) }.
% 2.86/3.27 parent1[0]: (8593) {G5,W8,D3,L1,V0,M1} R(7323,158) { perp( skol25, skol10(
% 2.86/3.27 skol25, skol25, skol29 ), skol29, skol25 ) }.
% 2.86/3.27 substitution0:
% 2.86/3.27 X := skol25
% 2.86/3.27 Y := skol10( skol25, skol25, skol29 )
% 2.86/3.27 Z := skol29
% 2.86/3.27 T := skol25
% 2.86/3.27 end
% 2.86/3.27 substitution1:
% 2.86/3.27 end
% 2.86/3.27
% 2.86/3.27 subsumption: (8758) {G6,W8,D3,L1,V0,M1} R(8593,7) { perp( skol29, skol25,
% 2.86/3.27 skol25, skol10( skol25, skol25, skol29 ) ) }.
% 2.86/3.27 parent0: (20977) {G1,W8,D3,L1,V0,M1} { perp( skol29, skol25, skol25,
% 2.86/3.27 skol10( skol25, skol25, skol29 ) ) }.
% 2.86/3.27 substitution0:
% 2.86/3.27 end
% 2.86/3.27 permutation0:
% 2.86/3.27 0 ==> 0
% 2.86/3.27 end
% 2.86/3.27
% 2.86/3.27 resolution: (20978) {G1,W8,D3,L1,V0,M1} { perp( skol29, skol25, skol10(
% 2.86/3.27 skol25, skol25, skol29 ), skol25 ) }.
% 2.86/3.27 parent0[0]: (6) {G0,W10,D2,L2,V4,M2} I { ! perp( X, Y, Z, T ), perp( X, Y,
% 2.86/3.27 T, Z ) }.
% 2.86/3.27 parent1[0]: (8758) {G6,W8,D3,L1,V0,M1} R(8593,7) { perp( skol29, skol25,
% 2.86/3.27 skol25, skol10( skol25, skol25, skol29 ) ) }.
% 2.86/3.27 substitution0:
% 2.86/3.27 X := skol29
% 2.86/3.27 Y := skol25
% 2.86/3.27 Z := skol25
% 2.86/3.27 T := skol10( skol25, skol25, skol29 )
% 2.86/3.27 end
% 2.86/3.27 substitution1:
% 2.86/3.27 end
% 2.86/3.27
% 2.86/3.27 subsumption: (8773) {G7,W8,D3,L1,V0,M1} R(8758,6) { perp( skol29, skol25,
% 2.86/3.27 skol10( skol25, skol25, skol29 ), skol25 ) }.
% 2.86/3.27 parent0: (20978) {G1,W8,D3,L1,V0,M1} { perp( skol29, skol25, skol10(
% 2.86/3.27 skol25, skol25, skol29 ), skol25 ) }.
% 2.86/3.27 substitution0:
% 2.86/3.27 end
% 2.86/3.27 permutation0:
% 2.86/3.27 0 ==> 0
% 2.86/3.27 end
% 2.86/3.27
% 2.86/3.27 resolution: (20979) {G1,W8,D3,L1,V0,M1} { perp( skol10( skol25, skol25,
% 2.86/3.27 skol29 ), skol25, skol29, skol25 ) }.
% 2.86/3.27 parent0[0]: (7) {G0,W10,D2,L2,V4,M2} I { ! perp( X, Y, Z, T ), perp( Z, T,
% 2.86/3.27 X, Y ) }.
% 2.86/3.27 parent1[0]: (8773) {G7,W8,D3,L1,V0,M1} R(8758,6) { perp( skol29, skol25,
% 2.86/3.27 skol10( skol25, skol25, skol29 ), skol25 ) }.
% 2.86/3.27 substitution0:
% 2.86/3.27 X := skol29
% 2.86/3.27 Y := skol25
% 2.86/3.27 Z := skol10( skol25, skol25, skol29 )
% 2.86/3.27 T := skol25
% 2.86/3.27 end
% 2.86/3.27 substitution1:
% 2.86/3.27 end
% 2.86/3.27
% 2.86/3.27 subsumption: (8778) {G8,W8,D3,L1,V0,M1} R(8773,7) { perp( skol10( skol25,
% 2.86/3.27 skol25, skol29 ), skol25, skol29, skol25 ) }.
% 2.86/3.27 parent0: (20979) {G1,W8,D3,L1,V0,M1} { perp( skol10( skol25, skol25,
% 2.86/3.27 skol29 ), skol25, skol29, skol25 ) }.
% 2.86/3.27 substitution0:
% 2.86/3.27 end
% 2.86/3.27 permutation0:
% 2.86/3.27 0 ==> 0
% 2.86/3.27 end
% 2.86/3.27
% 2.86/3.27 resolution: (20980) {G1,W8,D3,L1,V0,M1} { perp( skol10( skol25, skol25,
% 2.86/3.27 skol29 ), skol25, skol25, skol29 ) }.
% 2.86/3.27 parent0[0]: (6) {G0,W10,D2,L2,V4,M2} I { ! perp( X, Y, Z, T ), perp( X, Y,
% 2.86/3.27 T, Z ) }.
% 2.86/3.27 parent1[0]: (8778) {G8,W8,D3,L1,V0,M1} R(8773,7) { perp( skol10( skol25,
% 2.86/3.27 skol25, skol29 ), skol25, skol29, skol25 ) }.
% 2.86/3.27 substitution0:
% 2.86/3.27 X := skol10( skol25, skol25, skol29 )
% 2.86/3.27 Y := skol25
% 2.86/3.27 Z := skol29
% 2.86/3.27 T := skol25
% 2.86/3.27 end
% 2.86/3.27 substitution1:
% 2.86/3.27 end
% 2.86/3.27
% 2.86/3.27 subsumption: (8787) {G9,W8,D3,L1,V0,M1} R(8778,6) { perp( skol10( skol25,
% 2.86/3.27 skol25, skol29 ), skol25, skol25, skol29 ) }.
% 2.86/3.27 parent0: (20980) {G1,W8,D3,L1,V0,M1} { perp( skol10( skol25, skol25,
% 2.86/3.27 skol29 ), skol25, skol25, skol29 ) }.
% 2.86/3.27 substitution0:
% 2.86/3.27 end
% 2.86/3.27 permutation0:
% 2.86/3.27 0 ==> 0
% 2.86/3.27 end
% 2.86/3.27
% 2.86/3.27 resolution: (20981) {G1,W8,D3,L1,V0,M1} { perp( skol25, skol29, skol10(
% 2.86/3.27 skol25, skol25, skol29 ), skol25 ) }.
% 2.86/3.27 parent0[0]: (7) {G0,W10,D2,L2,V4,M2} I { ! perp( X, Y, Z, T ), perp( Z, T,
% 2.86/3.27 X, Y ) }.
% 2.86/3.27 parent1[0]: (8787) {G9,W8,D3,L1,V0,M1} R(8778,6) { perp( skol10( skol25,
% 2.86/3.27 skol25, skol29 ), skol25, skol25, skol29 ) }.
% 2.86/3.27 substitution0:
% 2.86/3.27 X := skol10( skol25, skol25, skol29 )
% 2.86/3.27 Y := skol25
% 2.86/3.27 Z := skol25
% 2.86/3.27 T := skol29
% 2.86/3.27 end
% 2.86/3.27 substitution1:
% 2.86/3.27 end
% 2.86/3.27
% 2.86/3.27 subsumption: (8807) {G10,W8,D3,L1,V0,M1} R(8787,7) { perp( skol25, skol29,
% 2.86/3.27 skol10( skol25, skol25, skol29 ), skol25 ) }.
% 2.86/3.27 parent0: (20981) {G1,W8,D3,L1,V0,M1} { perp( skol25, skol29, skol10(
% 2.86/3.27 skol25, skol25, skol29 ), skol25 ) }.
% 2.86/3.27 substitution0:
% 2.86/3.27 end
% 2.86/3.27 permutation0:
% 2.86/3.27 0 ==> 0
% 2.86/3.27 end
% 2.86/3.27
% 2.86/3.27 resolution: (20982) {G1,W8,D3,L1,V0,M1} { perp( skol25, skol29, skol25,
% 2.86/3.27 skol10( skol25, skol25, skol29 ) ) }.
% 2.86/3.27 parent0[0]: (6) {G0,W10,D2,L2,V4,M2} I { ! perp( X, Y, Z, T ), perp( X, Y,
% 2.86/3.27 T, Z ) }.
% 2.86/3.27 parent1[0]: (8807) {G10,W8,D3,L1,V0,M1} R(8787,7) { perp( skol25, skol29,
% 2.86/3.27 skol10( skol25, skol25, skol29 ), skol25 ) }.
% 2.86/3.27 substitution0:
% 2.86/3.27 X := skol25
% 2.86/3.27 Y := skol29
% 2.86/3.27 Z := skol10( skol25, skol25, skol29 )
% 2.86/3.27 T := skol25
% 2.86/3.27 end
% 2.86/3.27 substitution1:
% 2.86/3.27 end
% 2.86/3.27
% 2.86/3.27 subsumption: (8813) {G11,W8,D3,L1,V0,M1} R(8807,6) { perp( skol25, skol29,
% 2.86/3.27 skol25, skol10( skol25, skol25, skol29 ) ) }.
% 2.86/3.27 parent0: (20982) {G1,W8,D3,L1,V0,M1} { perp( skol25, skol29, skol25,
% 2.86/3.27 skol10( skol25, skol25, skol29 ) ) }.
% 2.86/3.27 substitution0:
% 2.86/3.27 end
% 2.86/3.27 permutation0:
% 2.86/3.27 0 ==> 0
% 2.86/3.27 end
% 2.86/3.27
% 2.86/3.27 resolution: (20983) {G3,W5,D2,L1,V1,M1} { para( X, X, X, X ) }.
% 2.86/3.27 parent0[0]: (259) {G2,W10,D2,L2,V4,M2} F(255) { ! para( X, Y, Z, T ), para
% 2.86/3.27 ( X, Y, X, Y ) }.
% 2.86/3.27 parent1[0]: (8510) {G12,W5,D2,L1,V1,M1} R(8492,4) { para( X, X, skol20,
% 2.86/3.27 skol20 ) }.
% 2.86/3.27 substitution0:
% 2.86/3.27 X := X
% 2.86/3.27 Y := X
% 2.86/3.27 Z := skol20
% 2.86/3.27 T := skol20
% 2.86/3.27 end
% 2.86/3.27 substitution1:
% 2.86/3.27 X := X
% 2.86/3.27 end
% 2.86/3.27
% 2.86/3.27 subsumption: (8820) {G13,W5,D2,L1,V1,M1} R(259,8510) { para( X, X, X, X )
% 2.86/3.27 }.
% 2.86/3.27 parent0: (20983) {G3,W5,D2,L1,V1,M1} { para( X, X, X, X ) }.
% 2.86/3.27 substitution0:
% 2.86/3.27 X := X
% 2.86/3.27 end
% 2.86/3.27 permutation0:
% 2.86/3.27 0 ==> 0
% 2.86/3.27 end
% 2.86/3.27
% 2.86/3.27 resolution: (20984) {G1,W9,D2,L1,V3,M1} { eqangle( X, X, Y, Z, X, X, Y, Z
% 2.86/3.27 ) }.
% 2.86/3.27 parent0[0]: (39) {G0,W14,D2,L2,V6,M2} I { ! para( X, Y, Z, T ), eqangle( X
% 2.86/3.27 , Y, U, W, Z, T, U, W ) }.
% 2.86/3.27 parent1[0]: (8820) {G13,W5,D2,L1,V1,M1} R(259,8510) { para( X, X, X, X )
% 2.86/3.27 }.
% 2.86/3.27 substitution0:
% 2.86/3.27 X := X
% 2.86/3.27 Y := X
% 2.86/3.27 Z := X
% 2.86/3.27 T := X
% 2.86/3.27 U := Y
% 2.86/3.27 W := Z
% 2.86/3.27 end
% 2.86/3.27 substitution1:
% 2.86/3.27 X := X
% 2.86/3.27 end
% 2.86/3.27
% 2.86/3.27 subsumption: (8827) {G14,W9,D2,L1,V3,M1} R(8820,39) { eqangle( X, X, Y, Z,
% 2.86/3.27 X, X, Y, Z ) }.
% 2.86/3.27 parent0: (20984) {G1,W9,D2,L1,V3,M1} { eqangle( X, X, Y, Z, X, X, Y, Z )
% 2.86/3.27 }.
% 2.86/3.27 substitution0:
% 2.86/3.27 X := X
% 2.86/3.27 Y := Y
% 2.86/3.27 Z := Z
% 2.86/3.27 end
% 2.86/3.27 permutation0:
% 2.86/3.27 0 ==> 0
% 2.86/3.27 end
% 2.86/3.27
% 2.86/3.27 resolution: (20985) {G1,W8,D3,L1,V0,M1} { perp( skol26, skol25, skol25,
% 2.86/3.27 skol10( skol25, skol25, skol26 ) ) }.
% 2.86/3.27 parent0[0]: (7) {G0,W10,D2,L2,V4,M2} I { ! perp( X, Y, Z, T ), perp( Z, T,
% 2.86/3.27 X, Y ) }.
% 2.86/3.27 parent1[0]: (8554) {G7,W8,D3,L1,V0,M1} R(8551,158) { perp( skol25, skol10(
% 2.86/3.27 skol25, skol25, skol26 ), skol26, skol25 ) }.
% 2.86/3.27 substitution0:
% 2.86/3.27 X := skol25
% 2.86/3.27 Y := skol10( skol25, skol25, skol26 )
% 2.86/3.27 Z := skol26
% 2.86/3.27 T := skol25
% 2.86/3.27 end
% 2.86/3.27 substitution1:
% 2.86/3.27 end
% 2.86/3.27
% 2.86/3.27 subsumption: (8938) {G8,W8,D3,L1,V0,M1} R(8554,7) { perp( skol26, skol25,
% 2.86/3.27 skol25, skol10( skol25, skol25, skol26 ) ) }.
% 2.86/3.27 parent0: (20985) {G1,W8,D3,L1,V0,M1} { perp( skol26, skol25, skol25,
% 2.86/3.27 skol10( skol25, skol25, skol26 ) ) }.
% 2.86/3.27 substitution0:
% 2.86/3.27 end
% 2.86/3.27 permutation0:
% 2.86/3.27 0 ==> 0
% 2.86/3.27 end
% 2.86/3.27
% 2.86/3.27 resolution: (20986) {G3,W5,D2,L1,V0,M1} { para( skol26, skol25, skol26,
% 2.86/3.27 skol25 ) }.
% 2.86/3.27 parent0[0]: (302) {G2,W10,D2,L2,V4,M2} F(294) { ! perp( X, Y, Z, T ), para
% 2.86/3.27 ( X, Y, X, Y ) }.
% 2.86/3.27 parent1[0]: (8938) {G8,W8,D3,L1,V0,M1} R(8554,7) { perp( skol26, skol25,
% 2.86/3.27 skol25, skol10( skol25, skol25, skol26 ) ) }.
% 2.86/3.27 substitution0:
% 2.86/3.27 X := skol26
% 2.86/3.27 Y := skol25
% 2.86/3.27 Z := skol25
% 2.86/3.27 T := skol10( skol25, skol25, skol26 )
% 2.86/3.27 end
% 2.86/3.27 substitution1:
% 2.86/3.27 end
% 2.86/3.27
% 2.86/3.27 subsumption: (9495) {G9,W5,D2,L1,V0,M1} R(302,8938) { para( skol26, skol25
% 2.86/3.27 , skol26, skol25 ) }.
% 2.86/3.27 parent0: (20986) {G3,W5,D2,L1,V0,M1} { para( skol26, skol25, skol26,
% 2.86/3.27 skol25 ) }.
% 2.86/3.27 substitution0:
% 2.86/3.27 end
% 2.86/3.27 permutation0:
% 2.86/3.27 0 ==> 0
% 2.86/3.27 end
% 2.86/3.27
% 2.86/3.27 resolution: (20987) {G3,W5,D2,L1,V0,M1} { para( skol25, skol29, skol25,
% 2.86/3.27 skol29 ) }.
% 2.86/3.27 parent0[0]: (302) {G2,W10,D2,L2,V4,M2} F(294) { ! perp( X, Y, Z, T ), para
% 2.86/3.27 ( X, Y, X, Y ) }.
% 2.86/3.27 parent1[0]: (8813) {G11,W8,D3,L1,V0,M1} R(8807,6) { perp( skol25, skol29,
% 2.86/3.27 skol25, skol10( skol25, skol25, skol29 ) ) }.
% 2.86/3.27 substitution0:
% 2.86/3.27 X := skol25
% 2.86/3.27 Y := skol29
% 2.86/3.27 Z := skol25
% 2.86/3.27 T := skol10( skol25, skol25, skol29 )
% 2.86/3.27 end
% 2.86/3.27 substitution1:
% 2.86/3.27 end
% 2.86/3.27
% 2.86/3.27 subsumption: (9501) {G12,W5,D2,L1,V0,M1} R(302,8813) { para( skol25, skol29
% 2.86/3.27 , skol25, skol29 ) }.
% 2.86/3.27 parent0: (20987) {G3,W5,D2,L1,V0,M1} { para( skol25, skol29, skol25,
% 2.86/3.27 skol29 ) }.
% 2.86/3.27 substitution0:
% 2.86/3.27 end
% 2.86/3.27 permutation0:
% 2.86/3.27 0 ==> 0
% 2.86/3.27 end
% 2.86/3.27
% 2.86/3.27 resolution: (20988) {G3,W5,D2,L1,V0,M1} { para( skol20, skol26, skol20,
% 2.86/3.27 skol26 ) }.
% 2.86/3.27 parent0[0]: (302) {G2,W10,D2,L2,V4,M2} F(294) { ! perp( X, Y, Z, T ), para
% 2.86/3.27 ( X, Y, X, Y ) }.
% 2.86/3.27 parent1[0]: (5451) {G3,W7,D3,L1,V0,M1} R(4813,6) { perp( skol20, skol26,
% 2.86/3.27 skol20, skol12( skol20, skol26 ) ) }.
% 2.86/3.27 substitution0:
% 2.86/3.27 X := skol20
% 2.86/3.27 Y := skol26
% 2.86/3.27 Z := skol20
% 2.86/3.27 T := skol12( skol20, skol26 )
% 2.86/3.27 end
% 2.86/3.27 substitution1:
% 2.86/3.27 end
% 2.86/3.27
% 2.86/3.27 subsumption: (9515) {G4,W5,D2,L1,V0,M1} R(302,5451) { para( skol20, skol26
% 2.86/3.27 , skol20, skol26 ) }.
% 2.86/3.27 parent0: (20988) {G3,W5,D2,L1,V0,M1} { para( skol20, skol26, skol20,
% 2.86/3.27 skol26 ) }.
% 2.86/3.27 substitution0:
% 2.86/3.27 end
% 2.86/3.27 permutation0:
% 2.86/3.27 0 ==> 0
% 2.86/3.27 end
% 2.86/3.27
% 2.86/3.27 resolution: (20989) {G2,W8,D2,L2,V1,M2} { ! midp( X, skol26, skol26 ),
% 2.86/3.27 midp( X, skol25, skol25 ) }.
% 2.86/3.27 parent0[1]: (146) {G1,W13,D2,L3,V4,M3} F(64) { ! midp( X, Y, Z ), ! para( Y
% 2.86/3.27 , T, Z, T ), midp( X, T, T ) }.
% 2.86/3.27 parent1[0]: (9495) {G9,W5,D2,L1,V0,M1} R(302,8938) { para( skol26, skol25,
% 2.86/3.27 skol26, skol25 ) }.
% 2.86/3.27 substitution0:
% 2.86/3.27 X := X
% 2.86/3.27 Y := skol26
% 2.86/3.27 Z := skol26
% 2.86/3.27 T := skol25
% 2.86/3.27 end
% 2.86/3.27 substitution1:
% 2.86/3.27 end
% 2.86/3.27
% 2.86/3.27 subsumption: (9545) {G10,W8,D2,L2,V1,M2} R(9495,146) { ! midp( X, skol26,
% 2.86/3.27 skol26 ), midp( X, skol25, skol25 ) }.
% 2.86/3.27 parent0: (20989) {G2,W8,D2,L2,V1,M2} { ! midp( X, skol26, skol26 ), midp(
% 2.86/3.27 X, skol25, skol25 ) }.
% 2.86/3.27 substitution0:
% 2.86/3.27 X := X
% 2.86/3.27 end
% 2.86/3.27 permutation0:
% 2.86/3.27 0 ==> 0
% 2.86/3.27 1 ==> 1
% 2.86/3.27 end
% 2.86/3.27
% 2.86/3.27 resolution: (20990) {G2,W8,D2,L2,V1,M2} { ! midp( X, skol25, skol25 ),
% 2.86/3.27 midp( X, skol29, skol29 ) }.
% 2.86/3.27 parent0[1]: (146) {G1,W13,D2,L3,V4,M3} F(64) { ! midp( X, Y, Z ), ! para( Y
% 2.86/3.27 , T, Z, T ), midp( X, T, T ) }.
% 2.86/3.27 parent1[0]: (9501) {G12,W5,D2,L1,V0,M1} R(302,8813) { para( skol25, skol29
% 2.86/3.27 , skol25, skol29 ) }.
% 2.86/3.27 substitution0:
% 2.86/3.27 X := X
% 2.86/3.27 Y := skol25
% 2.86/3.27 Z := skol25
% 2.86/3.27 T := skol29
% 2.86/3.27 end
% 2.86/3.27 substitution1:
% 2.86/3.27 end
% 2.86/3.27
% 2.86/3.27 subsumption: (9591) {G13,W8,D2,L2,V1,M2} R(9501,146) { ! midp( X, skol25,
% 2.86/3.27 skol25 ), midp( X, skol29, skol29 ) }.
% 2.86/3.27 parent0: (20990) {G2,W8,D2,L2,V1,M2} { ! midp( X, skol25, skol25 ), midp(
% 2.86/3.27 X, skol29, skol29 ) }.
% 2.86/3.27 substitution0:
% 2.86/3.27 X := X
% 2.86/3.27 end
% 2.86/3.27 permutation0:
% 2.86/3.27 0 ==> 0
% 2.86/3.27 1 ==> 1
% 2.86/3.27 end
% 2.86/3.27
% 2.86/3.27 resolution: (20991) {G2,W8,D2,L2,V1,M2} { ! midp( X, skol20, skol20 ),
% 2.86/3.27 midp( X, skol26, skol26 ) }.
% 2.86/3.27 parent0[1]: (146) {G1,W13,D2,L3,V4,M3} F(64) { ! midp( X, Y, Z ), ! para( Y
% 2.86/3.27 , T, Z, T ), midp( X, T, T ) }.
% 2.86/3.27 parent1[0]: (9515) {G4,W5,D2,L1,V0,M1} R(302,5451) { para( skol20, skol26,
% 2.86/3.27 skol20, skol26 ) }.
% 2.86/3.27 substitution0:
% 2.86/3.27 X := X
% 2.86/3.27 Y := skol20
% 2.86/3.27 Z := skol20
% 2.86/3.27 T := skol26
% 2.86/3.27 end
% 2.86/3.27 substitution1:
% 2.86/3.27 end
% 2.86/3.27
% 2.86/3.27 subsumption: (9644) {G5,W8,D2,L2,V1,M2} R(9515,146) { ! midp( X, skol20,
% 2.86/3.27 skol20 ), midp( X, skol26, skol26 ) }.
% 2.86/3.27 parent0: (20991) {G2,W8,D2,L2,V1,M2} { ! midp( X, skol20, skol20 ), midp(
% 2.86/3.27 X, skol26, skol26 ) }.
% 2.86/3.27 substitution0:
% 2.86/3.27 X := X
% 2.86/3.27 end
% 2.86/3.27 permutation0:
% 2.86/3.27 0 ==> 0
% 2.86/3.27 1 ==> 1
% 2.86/3.27 end
% 2.86/3.27
% 2.86/3.27 resolution: (20992) {G6,W6,D3,L1,V0,M1} { midp( skol7( skol20, skol20 ),
% 2.86/3.27 skol26, skol26 ) }.
% 2.86/3.27 parent0[0]: (9644) {G5,W8,D2,L2,V1,M2} R(9515,146) { ! midp( X, skol20,
% 2.86/3.27 skol20 ), midp( X, skol26, skol26 ) }.
% 2.86/3.27 parent1[0]: (8503) {G11,W6,D3,L1,V1,M1} R(8298,10) { midp( skol7( skol20, X
% 2.86/3.27 ), X, skol20 ) }.
% 2.86/3.27 substitution0:
% 2.86/3.27 X := skol7( skol20, skol20 )
% 2.86/3.27 end
% 2.86/3.27 substitution1:
% 2.86/3.27 X := skol20
% 2.86/3.27 end
% 2.86/3.27
% 2.86/3.27 subsumption: (9671) {G12,W6,D3,L1,V0,M1} R(9644,8503) { midp( skol7( skol20
% 2.86/3.27 , skol20 ), skol26, skol26 ) }.
% 2.86/3.27 parent0: (20992) {G6,W6,D3,L1,V0,M1} { midp( skol7( skol20, skol20 ),
% 2.86/3.27 skol26, skol26 ) }.
% 2.86/3.27 substitution0:
% 2.86/3.27 end
% 2.86/3.27 permutation0:
% 2.86/3.27 0 ==> 0
% 2.86/3.27 end
% 2.86/3.27
% 2.86/3.27 resolution: (20993) {G11,W6,D3,L1,V0,M1} { midp( skol7( skol20, skol20 ),
% 2.86/3.27 skol25, skol25 ) }.
% 2.86/3.27 parent0[0]: (9545) {G10,W8,D2,L2,V1,M2} R(9495,146) { ! midp( X, skol26,
% 2.86/3.27 skol26 ), midp( X, skol25, skol25 ) }.
% 2.86/3.27 parent1[0]: (9671) {G12,W6,D3,L1,V0,M1} R(9644,8503) { midp( skol7( skol20
% 2.86/3.27 , skol20 ), skol26, skol26 ) }.
% 2.86/3.27 substitution0:
% 2.86/3.27 X := skol7( skol20, skol20 )
% 2.86/3.27 end
% 2.86/3.27 substitution1:
% 2.86/3.27 end
% 2.86/3.27
% 2.86/3.27 subsumption: (9865) {G13,W6,D3,L1,V0,M1} R(9545,9671) { midp( skol7( skol20
% 2.86/3.27 , skol20 ), skol25, skol25 ) }.
% 2.86/3.27 parent0: (20993) {G11,W6,D3,L1,V0,M1} { midp( skol7( skol20, skol20 ),
% 2.86/3.27 skol25, skol25 ) }.
% 2.86/3.27 substitution0:
% 2.86/3.27 end
% 2.86/3.27 permutation0:
% 2.86/3.27 0 ==> 0
% 2.86/3.27 end
% 2.86/3.27
% 2.86/3.27 resolution: (20994) {G14,W6,D3,L1,V0,M1} { midp( skol7( skol20, skol20 ),
% 2.86/3.27 skol29, skol29 ) }.
% 2.86/3.27 parent0[0]: (9591) {G13,W8,D2,L2,V1,M2} R(9501,146) { ! midp( X, skol25,
% 2.86/3.27 skol25 ), midp( X, skol29, skol29 ) }.
% 2.86/3.27 parent1[0]: (9865) {G13,W6,D3,L1,V0,M1} R(9545,9671) { midp( skol7( skol20
% 2.86/3.27 , skol20 ), skol25, skol25 ) }.
% 2.86/3.27 substitution0:
% 2.86/3.27 X := skol7( skol20, skol20 )
% 2.86/3.27 end
% 2.86/3.27 substitution1:
% 2.86/3.27 end
% 2.86/3.27
% 2.86/3.27 subsumption: (9917) {G14,W6,D3,L1,V0,M1} R(9865,9591) { midp( skol7( skol20
% 2.86/3.27 , skol20 ), skol29, skol29 ) }.
% 2.86/3.27 parent0: (20994) {G14,W6,D3,L1,V0,M1} { midp( skol7( skol20, skol20 ),
% 2.86/3.27 skol29, skol29 ) }.
% 2.86/3.27 substitution0:
% 2.86/3.27 end
% 2.86/3.27 permutation0:
% 2.86/3.27 0 ==> 0
% 2.86/3.27 end
% 2.86/3.27
% 2.86/3.27 resolution: (20995) {G2,W9,D2,L1,V3,M1} { eqangle( X, Y, Z, Z, X, Y, Z, Z
% 2.86/3.27 ) }.
% 2.86/3.27 parent0[1]: (447) {G1,W18,D2,L2,V8,M2} R(19,18) { eqangle( X, Y, Z, T, U, W
% 2.86/3.27 , V0, V1 ), ! eqangle( V0, V1, U, W, Z, T, X, Y ) }.
% 2.86/3.27 parent1[0]: (8827) {G14,W9,D2,L1,V3,M1} R(8820,39) { eqangle( X, X, Y, Z, X
% 2.86/3.27 , X, Y, Z ) }.
% 2.86/3.27 substitution0:
% 2.86/3.27 X := X
% 2.86/3.27 Y := Y
% 2.86/3.27 Z := Z
% 2.86/3.27 T := Z
% 2.86/3.27 U := X
% 2.86/3.27 W := Y
% 2.86/3.27 V0 := Z
% 2.86/3.27 V1 := Z
% 2.86/3.27 end
% 2.86/3.27 substitution1:
% 2.86/3.27 X := Z
% 2.86/3.27 Y := X
% 2.86/3.27 Z := Y
% 2.86/3.27 end
% 2.86/3.27
% 2.86/3.27 subsumption: (12116) {G15,W9,D2,L1,V3,M1} R(8827,447) { eqangle( X, Y, Z, Z
% 2.86/3.27 , X, Y, Z, Z ) }.
% 2.86/3.27 parent0: (20995) {G2,W9,D2,L1,V3,M1} { eqangle( X, Y, Z, Z, X, Y, Z, Z )
% 2.86/3.27 }.
% 2.86/3.27 substitution0:
% 2.86/3.27 X := X
% 2.86/3.27 Y := Y
% 2.86/3.27 Z := Z
% 2.86/3.27 end
% 2.86/3.27 permutation0:
% 2.86/3.27 0 ==> 0
% 2.86/3.27 end
% 2.86/3.27
% 2.86/3.27 resolution: (20996) {G1,W5,D2,L1,V2,M1} { para( X, Y, X, Y ) }.
% 2.86/3.27 parent0[0]: (38) {G0,W14,D2,L2,V6,M2} I { ! eqangle( X, Y, U, W, Z, T, U, W
% 2.86/3.27 ), para( X, Y, Z, T ) }.
% 2.86/3.27 parent1[0]: (12116) {G15,W9,D2,L1,V3,M1} R(8827,447) { eqangle( X, Y, Z, Z
% 2.86/3.27 , X, Y, Z, Z ) }.
% 2.86/3.27 substitution0:
% 2.86/3.27 X := X
% 2.86/3.27 Y := Y
% 2.86/3.27 Z := X
% 2.86/3.27 T := Y
% 2.86/3.27 U := Z
% 2.86/3.27 W := Z
% 2.86/3.27 end
% 2.86/3.27 substitution1:
% 2.86/3.27 X := X
% 2.86/3.27 Y := Y
% 2.86/3.27 Z := Z
% 2.86/3.27 end
% 2.86/3.27
% 2.86/3.27 subsumption: (12121) {G16,W5,D2,L1,V2,M1} R(12116,38) { para( X, Y, X, Y )
% 2.86/3.27 }.
% 2.86/3.27 parent0: (20996) {G1,W5,D2,L1,V2,M1} { para( X, Y, X, Y ) }.
% 2.86/3.27 substitution0:
% 2.86/3.27 X := X
% 2.86/3.27 Y := Y
% 2.86/3.27 end
% 2.86/3.27 permutation0:
% 2.86/3.27 0 ==> 0
% 2.86/3.27 end
% 2.86/3.27
% 2.86/3.27 resolution: (20997) {G2,W8,D2,L2,V3,M2} { ! midp( X, Y, Y ), midp( X, Z, Z
% 2.86/3.27 ) }.
% 2.86/3.27 parent0[1]: (146) {G1,W13,D2,L3,V4,M3} F(64) { ! midp( X, Y, Z ), ! para( Y
% 2.86/3.27 , T, Z, T ), midp( X, T, T ) }.
% 2.86/3.27 parent1[0]: (12121) {G16,W5,D2,L1,V2,M1} R(12116,38) { para( X, Y, X, Y )
% 2.86/3.27 }.
% 2.86/3.27 substitution0:
% 2.86/3.27 X := X
% 2.86/3.27 Y := Y
% 2.86/3.27 Z := Y
% 2.86/3.27 T := Z
% 2.86/3.27 end
% 2.86/3.27 substitution1:
% 2.86/3.27 X := Y
% 2.86/3.27 Y := Z
% 2.86/3.27 end
% 2.86/3.27
% 2.86/3.27 subsumption: (12124) {G17,W8,D2,L2,V3,M2} R(12121,146) { ! midp( X, Y, Y )
% 2.86/3.27 , midp( X, Z, Z ) }.
% 2.86/3.27 parent0: (20997) {G2,W8,D2,L2,V3,M2} { ! midp( X, Y, Y ), midp( X, Z, Z )
% 2.86/3.27 }.
% 2.86/3.27 substitution0:
% 2.86/3.27 X := X
% 2.86/3.27 Y := Y
% 2.86/3.27 Z := Z
% 2.86/3.27 end
% 2.86/3.27 permutation0:
% 2.86/3.27 0 ==> 0
% 2.86/3.27 1 ==> 1
% 2.86/3.27 end
% 2.86/3.27
% 2.86/3.27 resolution: (20998) {G15,W6,D3,L1,V1,M1} { midp( skol7( skol20, skol20 ),
% 2.86/3.27 X, X ) }.
% 2.86/3.27 parent0[0]: (12124) {G17,W8,D2,L2,V3,M2} R(12121,146) { ! midp( X, Y, Y ),
% 2.86/3.27 midp( X, Z, Z ) }.
% 2.86/3.27 parent1[0]: (9917) {G14,W6,D3,L1,V0,M1} R(9865,9591) { midp( skol7( skol20
% 2.86/3.27 , skol20 ), skol29, skol29 ) }.
% 2.86/3.27 substitution0:
% 2.86/3.27 X := skol7( skol20, skol20 )
% 2.86/3.27 Y := skol29
% 2.86/3.27 Z := X
% 2.86/3.27 end
% 2.86/3.27 substitution1:
% 2.86/3.27 end
% 2.86/3.27
% 2.86/3.27 subsumption: (12133) {G18,W6,D3,L1,V1,M1} R(12124,9917) { midp( skol7(
% 2.86/3.27 skol20, skol20 ), X, X ) }.
% 2.86/3.27 parent0: (20998) {G15,W6,D3,L1,V1,M1} { midp( skol7( skol20, skol20 ), X,
% 2.86/3.27 X ) }.
% 2.86/3.27 substitution0:
% 2.86/3.27 X := X
% 2.86/3.27 end
% 2.86/3.27 permutation0:
% 2.86/3.27 0 ==> 0
% 2.86/3.27 end
% 2.86/3.27
% 2.86/3.27 resolution: (20999) {G2,W15,D2,L3,V0,M3} { ! cyclic( skol20, skol20,
% 2.86/3.27 skol20, skol20 ), ! cyclic( skol20, skol20, skol20, skol20 ), cong(
% 2.86/3.27 skol20, skol20, skol20, skol20 ) }.
% 2.86/3.27 parent0[2]: (140) {G1,W24,D2,L4,V5,M4} F(43) { ! cyclic( X, Y, Z, T ), !
% 2.86/3.27 cyclic( X, Y, Z, U ), ! eqangle( Z, X, Z, Y, U, T, U, U ), cong( X, Y, T
% 2.86/3.27 , U ) }.
% 2.86/3.27 parent1[0]: (8513) {G13,W9,D2,L1,V3,M1} R(8510,39) { eqangle( X, X, Y, Z,
% 2.86/3.27 skol20, skol20, Y, Z ) }.
% 2.86/3.27 substitution0:
% 2.86/3.27 X := skol20
% 2.86/3.27 Y := skol20
% 2.86/3.27 Z := skol20
% 2.86/3.27 T := skol20
% 2.86/3.27 U := skol20
% 2.86/3.27 end
% 2.86/3.27 substitution1:
% 2.86/3.27 X := skol20
% 2.86/3.27 Y := skol20
% 2.86/3.27 Z := skol20
% 2.86/3.27 end
% 2.86/3.27
% 2.86/3.27 factor: (21000) {G2,W10,D2,L2,V0,M2} { ! cyclic( skol20, skol20, skol20,
% 2.86/3.27 skol20 ), cong( skol20, skol20, skol20, skol20 ) }.
% 2.86/3.27 parent0[0, 1]: (20999) {G2,W15,D2,L3,V0,M3} { ! cyclic( skol20, skol20,
% 2.86/3.27 skol20, skol20 ), ! cyclic( skol20, skol20, skol20, skol20 ), cong(
% 2.86/3.27 skol20, skol20, skol20, skol20 ) }.
% 2.86/3.27 substitution0:
% 2.86/3.27 end
% 2.86/3.27
% 2.86/3.27 resolution: (21002) {G3,W5,D2,L1,V0,M1} { cong( skol20, skol20, skol20,
% 2.86/3.27 skol20 ) }.
% 2.86/3.27 parent0[0]: (21000) {G2,W10,D2,L2,V0,M2} { ! cyclic( skol20, skol20,
% 2.86/3.27 skol20, skol20 ), cong( skol20, skol20, skol20, skol20 ) }.
% 2.86/3.27 parent1[0]: (7514) {G4,W5,D2,L1,V0,M1} R(137,7481) { cyclic( skol20, skol20
% 2.86/3.27 , skol20, skol20 ) }.
% 2.86/3.27 substitution0:
% 2.86/3.27 end
% 2.86/3.27 substitution1:
% 2.86/3.27 end
% 2.86/3.27
% 2.86/3.27 subsumption: (12195) {G14,W5,D2,L1,V0,M1} R(8513,140);f;r(7514) { cong(
% 2.86/3.27 skol20, skol20, skol20, skol20 ) }.
% 2.86/3.27 parent0: (21002) {G3,W5,D2,L1,V0,M1} { cong( skol20, skol20, skol20,
% 2.86/3.27 skol20 ) }.
% 2.86/3.27 substitution0:
% 2.86/3.27 end
% 2.86/3.27 permutation0:
% 2.86/3.27 0 ==> 0
% 2.86/3.27 end
% 2.86/3.27
% 2.86/3.27 resolution: (21003) {G2,W10,D2,L2,V0,M2} { ! cyclic( skol20, skol20,
% 2.86/3.27 skol20, skol20 ), perp( skol20, skol20, skol20, skol20 ) }.
% 2.86/3.27 parent0[0]: (143) {G1,W15,D2,L3,V3,M3} F(57) { ! cong( X, Y, Z, Y ), !
% 2.86/3.27 cyclic( X, Z, Y, Y ), perp( Y, X, X, Y ) }.
% 2.86/3.27 parent1[0]: (12195) {G14,W5,D2,L1,V0,M1} R(8513,140);f;r(7514) { cong(
% 2.86/3.27 skol20, skol20, skol20, skol20 ) }.
% 2.86/3.27 substitution0:
% 2.86/3.27 X := skol20
% 2.86/3.27 Y := skol20
% 2.86/3.27 Z := skol20
% 2.86/3.27 end
% 2.86/3.27 substitution1:
% 2.86/3.27 end
% 2.86/3.27
% 2.86/3.27 resolution: (21004) {G3,W5,D2,L1,V0,M1} { perp( skol20, skol20, skol20,
% 2.86/3.27 skol20 ) }.
% 2.86/3.27 parent0[0]: (21003) {G2,W10,D2,L2,V0,M2} { ! cyclic( skol20, skol20,
% 2.86/3.27 skol20, skol20 ), perp( skol20, skol20, skol20, skol20 ) }.
% 2.86/3.27 parent1[0]: (7514) {G4,W5,D2,L1,V0,M1} R(137,7481) { cyclic( skol20, skol20
% 2.86/3.27 , skol20, skol20 ) }.
% 2.86/3.27 substitution0:
% 2.86/3.27 end
% 2.86/3.27 substitution1:
% 2.86/3.27 end
% 2.86/3.27
% 2.86/3.27 subsumption: (12204) {G15,W5,D2,L1,V0,M1} R(12195,143);r(7514) { perp(
% 2.86/3.27 skol20, skol20, skol20, skol20 ) }.
% 2.86/3.27 parent0: (21004) {G3,W5,D2,L1,V0,M1} { perp( skol20, skol20, skol20,
% 2.86/3.27 skol20 ) }.
% 2.86/3.27 substitution0:
% 2.86/3.27 end
% 2.86/3.27 permutation0:
% 2.86/3.27 0 ==> 0
% 2.86/3.27 end
% 2.86/3.27
% 2.86/3.27 resolution: (21005) {G2,W10,D2,L2,V2,M2} { perp( X, Y, skol20, skol20 ), !
% 2.86/3.27 para( X, Y, skol20, skol20 ) }.
% 2.86/3.27 parent0[0]: (320) {G1,W15,D2,L3,V6,M3} R(9,3) { ! perp( X, Y, Z, T ), perp
% 2.86/3.27 ( U, W, Z, T ), ! para( U, W, Y, X ) }.
% 2.86/3.27 parent1[0]: (12204) {G15,W5,D2,L1,V0,M1} R(12195,143);r(7514) { perp(
% 2.86/3.27 skol20, skol20, skol20, skol20 ) }.
% 2.86/3.27 substitution0:
% 2.86/3.27 X := skol20
% 2.86/3.27 Y := skol20
% 2.86/3.27 Z := skol20
% 2.86/3.27 T := skol20
% 2.86/3.27 U := X
% 2.86/3.27 W := Y
% 2.86/3.27 end
% 2.86/3.27 substitution1:
% 2.86/3.27 end
% 2.86/3.27
% 2.86/3.27 subsumption: (12222) {G16,W10,D2,L2,V2,M2} R(12204,320) { perp( X, Y,
% 2.86/3.27 skol20, skol20 ), ! para( X, Y, skol20, skol20 ) }.
% 2.86/3.27 parent0: (21005) {G2,W10,D2,L2,V2,M2} { perp( X, Y, skol20, skol20 ), !
% 2.86/3.27 para( X, Y, skol20, skol20 ) }.
% 2.86/3.27 substitution0:
% 2.86/3.27 X := X
% 2.86/3.27 Y := Y
% 2.86/3.27 end
% 2.86/3.27 permutation0:
% 2.86/3.27 0 ==> 0
% 2.86/3.27 1 ==> 1
% 2.86/3.27 end
% 2.86/3.27
% 2.86/3.27 resolution: (21007) {G2,W10,D2,L2,V2,M2} { ! perp( skol20, skol20, X, Y )
% 2.86/3.27 , para( skol20, skol20, X, Y ) }.
% 2.86/3.27 parent0[2]: (295) {G1,W15,D2,L3,V6,M3} R(8,6) { ! perp( X, Y, Z, T ), para
% 2.86/3.27 ( U, W, Z, T ), ! perp( U, W, Y, X ) }.
% 2.86/3.27 parent1[0]: (12204) {G15,W5,D2,L1,V0,M1} R(12195,143);r(7514) { perp(
% 2.86/3.27 skol20, skol20, skol20, skol20 ) }.
% 2.86/3.27 substitution0:
% 2.86/3.27 X := skol20
% 2.86/3.27 Y := skol20
% 2.86/3.27 Z := X
% 2.86/3.27 T := Y
% 2.86/3.27 U := skol20
% 2.86/3.27 W := skol20
% 2.86/3.27 end
% 2.86/3.27 substitution1:
% 2.86/3.27 end
% 2.86/3.27
% 2.86/3.27 subsumption: (12239) {G16,W10,D2,L2,V2,M2} R(12204,295) { ! perp( skol20,
% 2.86/3.27 skol20, X, Y ), para( skol20, skol20, X, Y ) }.
% 2.86/3.27 parent0: (21007) {G2,W10,D2,L2,V2,M2} { ! perp( skol20, skol20, X, Y ),
% 2.86/3.27 para( skol20, skol20, X, Y ) }.
% 2.86/3.27 substitution0:
% 2.86/3.27 X := X
% 2.86/3.27 Y := Y
% 2.86/3.27 end
% 2.86/3.27 permutation0:
% 2.86/3.27 0 ==> 0
% 2.86/3.27 1 ==> 1
% 2.86/3.27 end
% 2.86/3.27
% 2.86/3.27 resolution: (21008) {G3,W5,D2,L1,V0,M1} { cong( skol26, skol20, skol26,
% 2.86/3.27 skol20 ) }.
% 2.86/3.27 parent0[0]: (534) {G2,W10,D2,L2,V4,M2} F(523) { ! cong( X, Y, Z, T ), cong
% 2.86/3.27 ( X, Y, X, Y ) }.
% 2.86/3.27 parent1[0]: (2553) {G3,W5,D2,L1,V0,M1} R(2543,22) { cong( skol26, skol20,
% 2.86/3.27 skol25, skol26 ) }.
% 2.86/3.27 substitution0:
% 2.86/3.27 X := skol26
% 2.86/3.27 Y := skol20
% 2.86/3.27 Z := skol25
% 2.86/3.27 T := skol26
% 2.86/3.27 end
% 2.86/3.27 substitution1:
% 2.86/3.27 end
% 2.86/3.27
% 2.86/3.27 subsumption: (13317) {G4,W5,D2,L1,V0,M1} R(534,2553) { cong( skol26, skol20
% 2.86/3.27 , skol26, skol20 ) }.
% 2.86/3.27 parent0: (21008) {G3,W5,D2,L1,V0,M1} { cong( skol26, skol20, skol26,
% 2.86/3.27 skol20 ) }.
% 2.86/3.27 substitution0:
% 2.86/3.27 end
% 2.86/3.27 permutation0:
% 2.86/3.27 0 ==> 0
% 2.86/3.27 end
% 2.86/3.27
% 2.86/3.27 resolution: (21009) {G1,W9,D2,L1,V0,M1} { eqangle( skol26, skol20, skol20
% 2.86/3.27 , skol20, skol20, skol20, skol26, skol20 ) }.
% 2.86/3.27 parent0[0]: (46) {G0,W14,D2,L2,V3,M2} I { ! cong( Z, X, Z, Y ), eqangle( Z
% 2.86/3.27 , X, X, Y, X, Y, Z, Y ) }.
% 2.86/3.27 parent1[0]: (13317) {G4,W5,D2,L1,V0,M1} R(534,2553) { cong( skol26, skol20
% 2.86/3.27 , skol26, skol20 ) }.
% 2.86/3.27 substitution0:
% 2.86/3.27 X := skol20
% 2.86/3.27 Y := skol20
% 2.86/3.27 Z := skol26
% 2.86/3.27 end
% 2.86/3.27 substitution1:
% 2.86/3.27 end
% 2.86/3.27
% 2.86/3.27 subsumption: (13601) {G5,W9,D2,L1,V0,M1} R(13317,46) { eqangle( skol26,
% 2.86/3.27 skol20, skol20, skol20, skol20, skol20, skol26, skol20 ) }.
% 2.86/3.27 parent0: (21009) {G1,W9,D2,L1,V0,M1} { eqangle( skol26, skol20, skol20,
% 2.86/3.27 skol20, skol20, skol20, skol26, skol20 ) }.
% 2.86/3.27 substitution0:
% 2.86/3.27 end
% 2.86/3.27 permutation0:
% 2.86/3.27 0 ==> 0
% 2.86/3.27 end
% 2.86/3.27
% 2.86/3.27 resolution: (21010) {G2,W9,D2,L1,V0,M1} { eqangle( skol20, skol26, skol20
% 2.86/3.27 , skol20, skol20, skol20, skol26, skol20 ) }.
% 2.86/3.27 parent0[1]: (459) {G1,W18,D2,L2,V8,M2} R(20,17) { eqangle( X, Y, Z, T, U, W
% 2.86/3.27 , V0, V1 ), ! eqangle( Y, X, U, W, Z, T, V0, V1 ) }.
% 2.86/3.27 parent1[0]: (13601) {G5,W9,D2,L1,V0,M1} R(13317,46) { eqangle( skol26,
% 2.86/3.27 skol20, skol20, skol20, skol20, skol20, skol26, skol20 ) }.
% 2.86/3.27 substitution0:
% 2.86/3.27 X := skol20
% 2.86/3.27 Y := skol26
% 2.86/3.27 Z := skol20
% 2.86/3.27 T := skol20
% 2.86/3.27 U := skol20
% 2.86/3.27 W := skol20
% 2.86/3.27 V0 := skol26
% 2.86/3.27 V1 := skol20
% 2.86/3.27 end
% 2.86/3.27 substitution1:
% 2.86/3.27 end
% 2.86/3.27
% 2.86/3.27 subsumption: (14228) {G6,W9,D2,L1,V0,M1} R(13601,459) { eqangle( skol20,
% 2.86/3.27 skol26, skol20, skol20, skol20, skol20, skol26, skol20 ) }.
% 2.86/3.27 parent0: (21010) {G2,W9,D2,L1,V0,M1} { eqangle( skol20, skol26, skol20,
% 2.86/3.27 skol20, skol20, skol20, skol26, skol20 ) }.
% 2.86/3.27 substitution0:
% 2.86/3.27 end
% 2.86/3.27 permutation0:
% 2.86/3.27 0 ==> 0
% 2.86/3.27 end
% 2.86/3.27
% 2.86/3.27 resolution: (21011) {G1,W10,D2,L2,V0,M2} { para( skol26, skol20, skol20,
% 2.86/3.27 skol20 ), perp( skol26, skol20, skol20, skol20 ) }.
% 2.86/3.27 parent0[0]: (71) {G0,W19,D2,L3,V4,M3} I { ! eqangle( X, Y, Z, T, Z, T, X, Y
% 2.86/3.27 ), para( X, Y, Z, T ), perp( X, Y, Z, T ) }.
% 2.86/3.27 parent1[0]: (13601) {G5,W9,D2,L1,V0,M1} R(13317,46) { eqangle( skol26,
% 2.86/3.27 skol20, skol20, skol20, skol20, skol20, skol26, skol20 ) }.
% 2.86/3.27 substitution0:
% 2.86/3.27 X := skol26
% 2.86/3.27 Y := skol20
% 2.86/3.27 Z := skol20
% 2.86/3.27 T := skol20
% 2.86/3.27 end
% 2.86/3.27 substitution1:
% 2.86/3.27 end
% 2.86/3.27
% 2.86/3.27 resolution: (21012) {G2,W10,D2,L2,V0,M2} { perp( skol26, skol20, skol20,
% 2.86/3.27 skol20 ), perp( skol26, skol20, skol20, skol20 ) }.
% 2.86/3.27 parent0[1]: (12222) {G16,W10,D2,L2,V2,M2} R(12204,320) { perp( X, Y, skol20
% 2.86/3.27 , skol20 ), ! para( X, Y, skol20, skol20 ) }.
% 2.86/3.27 parent1[0]: (21011) {G1,W10,D2,L2,V0,M2} { para( skol26, skol20, skol20,
% 2.86/3.27 skol20 ), perp( skol26, skol20, skol20, skol20 ) }.
% 2.86/3.27 substitution0:
% 2.86/3.27 X := skol26
% 2.86/3.27 Y := skol20
% 2.86/3.27 end
% 2.86/3.27 substitution1:
% 2.86/3.27 end
% 2.86/3.27
% 2.86/3.27 factor: (21013) {G2,W5,D2,L1,V0,M1} { perp( skol26, skol20, skol20, skol20
% 2.86/3.27 ) }.
% 2.86/3.27 parent0[0, 1]: (21012) {G2,W10,D2,L2,V0,M2} { perp( skol26, skol20, skol20
% 2.86/3.27 , skol20 ), perp( skol26, skol20, skol20, skol20 ) }.
% 2.86/3.27 substitution0:
% 2.86/3.27 end
% 2.86/3.27
% 2.86/3.27 subsumption: (14232) {G17,W5,D2,L1,V0,M1} R(13601,71);r(12222) { perp(
% 2.86/3.27 skol26, skol20, skol20, skol20 ) }.
% 2.86/3.27 parent0: (21013) {G2,W5,D2,L1,V0,M1} { perp( skol26, skol20, skol20,
% 2.86/3.27 skol20 ) }.
% 2.86/3.27 substitution0:
% 2.86/3.27 end
% 2.86/3.27 permutation0:
% 2.86/3.27 0 ==> 0
% 2.86/3.27 end
% 2.86/3.27
% 2.86/3.27 resolution: (21014) {G2,W5,D2,L1,V0,M1} { perp( skol20, skol20, skol26,
% 2.86/3.27 skol20 ) }.
% 2.86/3.27 parent0[1]: (284) {G1,W10,D2,L2,V4,M2} R(7,6) { perp( X, Y, Z, T ), ! perp
% 2.86/3.27 ( Z, T, Y, X ) }.
% 2.86/3.27 parent1[0]: (14232) {G17,W5,D2,L1,V0,M1} R(13601,71);r(12222) { perp(
% 2.86/3.27 skol26, skol20, skol20, skol20 ) }.
% 2.86/3.27 substitution0:
% 2.86/3.27 X := skol20
% 2.86/3.27 Y := skol20
% 2.86/3.27 Z := skol26
% 2.86/3.27 T := skol20
% 2.86/3.27 end
% 2.86/3.27 substitution1:
% 2.86/3.27 end
% 2.86/3.27
% 2.86/3.27 subsumption: (14259) {G18,W5,D2,L1,V0,M1} R(14232,284) { perp( skol20,
% 2.86/3.27 skol20, skol26, skol20 ) }.
% 2.86/3.27 parent0: (21014) {G2,W5,D2,L1,V0,M1} { perp( skol20, skol20, skol26,
% 2.86/3.27 skol20 ) }.
% 2.86/3.27 substitution0:
% 2.86/3.27 end
% 2.86/3.27 permutation0:
% 2.86/3.27 0 ==> 0
% 2.86/3.27 end
% 2.86/3.27
% 2.86/3.27 resolution: (21015) {G2,W9,D2,L1,V0,M1} { eqangle( skol26, skol20, skol20
% 2.86/3.27 , skol20, skol20, skol20, skol20, skol26 ) }.
% 2.86/3.27 parent0[1]: (447) {G1,W18,D2,L2,V8,M2} R(19,18) { eqangle( X, Y, Z, T, U, W
% 2.86/3.27 , V0, V1 ), ! eqangle( V0, V1, U, W, Z, T, X, Y ) }.
% 2.86/3.27 parent1[0]: (14228) {G6,W9,D2,L1,V0,M1} R(13601,459) { eqangle( skol20,
% 2.86/3.27 skol26, skol20, skol20, skol20, skol20, skol26, skol20 ) }.
% 2.86/3.27 substitution0:
% 2.86/3.27 X := skol26
% 2.86/3.27 Y := skol20
% 2.86/3.27 Z := skol20
% 2.86/3.27 T := skol20
% 2.86/3.27 U := skol20
% 2.86/3.27 W := skol20
% 2.86/3.27 V0 := skol20
% 2.86/3.27 V1 := skol26
% 2.86/3.27 end
% 2.86/3.27 substitution1:
% 2.86/3.27 end
% 2.86/3.27
% 2.86/3.27 subsumption: (14607) {G7,W9,D2,L1,V0,M1} R(14228,447) { eqangle( skol26,
% 2.86/3.27 skol20, skol20, skol20, skol20, skol20, skol20, skol26 ) }.
% 2.86/3.27 parent0: (21015) {G2,W9,D2,L1,V0,M1} { eqangle( skol26, skol20, skol20,
% 2.86/3.27 skol20, skol20, skol20, skol20, skol26 ) }.
% 2.86/3.27 substitution0:
% 2.86/3.27 end
% 2.86/3.27 permutation0:
% 2.86/3.27 0 ==> 0
% 2.86/3.27 end
% 2.86/3.27
% 2.86/3.27 resolution: (21016) {G2,W9,D2,L1,V0,M1} { eqangle( skol20, skol20, skol20
% 2.86/3.27 , skol26, skol20, skol26, skol20, skol20 ) }.
% 2.86/3.27 parent0[1]: (448) {G1,W18,D2,L2,V8,M2} R(19,17) { eqangle( X, Y, Z, T, U, W
% 2.86/3.27 , V0, V1 ), ! eqangle( W, U, V0, V1, X, Y, Z, T ) }.
% 2.86/3.27 parent1[0]: (14607) {G7,W9,D2,L1,V0,M1} R(14228,447) { eqangle( skol26,
% 2.86/3.27 skol20, skol20, skol20, skol20, skol20, skol20, skol26 ) }.
% 2.86/3.27 substitution0:
% 2.86/3.27 X := skol20
% 2.86/3.27 Y := skol20
% 2.86/3.27 Z := skol20
% 2.86/3.27 T := skol26
% 2.86/3.27 U := skol20
% 2.86/3.27 W := skol26
% 2.86/3.27 V0 := skol20
% 2.86/3.27 V1 := skol20
% 2.86/3.27 end
% 2.86/3.27 substitution1:
% 2.86/3.27 end
% 2.86/3.27
% 2.86/3.27 subsumption: (14609) {G8,W9,D2,L1,V0,M1} R(14607,448) { eqangle( skol20,
% 2.86/3.27 skol20, skol20, skol26, skol20, skol26, skol20, skol20 ) }.
% 2.86/3.27 parent0: (21016) {G2,W9,D2,L1,V0,M1} { eqangle( skol20, skol20, skol20,
% 2.86/3.27 skol26, skol20, skol26, skol20, skol20 ) }.
% 2.86/3.27 substitution0:
% 2.86/3.27 end
% 2.86/3.27 permutation0:
% 2.86/3.27 0 ==> 0
% 2.86/3.27 end
% 2.86/3.27
% 2.86/3.27 resolution: (21017) {G1,W10,D2,L2,V0,M2} { para( skol20, skol20, skol20,
% 2.86/3.27 skol26 ), perp( skol20, skol20, skol20, skol26 ) }.
% 2.86/3.27 parent0[0]: (71) {G0,W19,D2,L3,V4,M3} I { ! eqangle( X, Y, Z, T, Z, T, X, Y
% 2.86/3.27 ), para( X, Y, Z, T ), perp( X, Y, Z, T ) }.
% 2.86/3.27 parent1[0]: (14609) {G8,W9,D2,L1,V0,M1} R(14607,448) { eqangle( skol20,
% 2.86/3.27 skol20, skol20, skol26, skol20, skol26, skol20, skol20 ) }.
% 2.86/3.27 substitution0:
% 2.86/3.27 X := skol20
% 2.86/3.27 Y := skol20
% 2.86/3.27 Z := skol20
% 2.86/3.27 T := skol26
% 2.86/3.27 end
% 2.86/3.27 substitution1:
% 2.86/3.27 end
% 2.86/3.27
% 2.86/3.27 resolution: (21018) {G2,W10,D2,L2,V0,M2} { para( skol20, skol20, skol20,
% 2.86/3.27 skol26 ), para( skol20, skol20, skol20, skol26 ) }.
% 2.86/3.27 parent0[0]: (12239) {G16,W10,D2,L2,V2,M2} R(12204,295) { ! perp( skol20,
% 2.86/3.27 skol20, X, Y ), para( skol20, skol20, X, Y ) }.
% 2.86/3.27 parent1[1]: (21017) {G1,W10,D2,L2,V0,M2} { para( skol20, skol20, skol20,
% 2.86/3.27 skol26 ), perp( skol20, skol20, skol20, skol26 ) }.
% 2.86/3.27 substitution0:
% 2.86/3.27 X := skol20
% 2.86/3.27 Y := skol26
% 2.86/3.27 end
% 2.86/3.27 substitution1:
% 2.86/3.27 end
% 2.86/3.27
% 2.86/3.27 factor: (21019) {G2,W5,D2,L1,V0,M1} { para( skol20, skol20, skol20, skol26
% 2.86/3.27 ) }.
% 2.86/3.27 parent0[0, 1]: (21018) {G2,W10,D2,L2,V0,M2} { para( skol20, skol20, skol20
% 2.86/3.27 , skol26 ), para( skol20, skol20, skol20, skol26 ) }.
% 2.86/3.27 substitution0:
% 2.86/3.27 end
% 2.86/3.27
% 2.86/3.27 subsumption: (14610) {G17,W5,D2,L1,V0,M1} R(14609,71);r(12239) { para(
% 2.86/3.27 skol20, skol20, skol20, skol26 ) }.
% 2.86/3.27 parent0: (21019) {G2,W5,D2,L1,V0,M1} { para( skol20, skol20, skol20,
% 2.86/3.27 skol26 ) }.
% 2.86/3.27 substitution0:
% 2.86/3.27 end
% 2.86/3.27 permutation0:
% 2.86/3.27 0 ==> 0
% 2.86/3.27 end
% 2.86/3.27
% 2.86/3.27 resolution: (21020) {G2,W5,D2,L1,V0,M1} { para( skol20, skol26, skol20,
% 2.86/3.27 skol20 ) }.
% 2.86/3.27 parent0[0]: (244) {G1,W10,D2,L2,V4,M2} R(4,3) { ! para( X, Y, Z, T ), para
% 2.86/3.27 ( Z, T, Y, X ) }.
% 2.86/3.27 parent1[0]: (14610) {G17,W5,D2,L1,V0,M1} R(14609,71);r(12239) { para(
% 2.86/3.27 skol20, skol20, skol20, skol26 ) }.
% 2.86/3.27 substitution0:
% 2.86/3.27 X := skol20
% 2.86/3.27 Y := skol20
% 2.86/3.27 Z := skol20
% 2.86/3.27 T := skol26
% 2.86/3.27 end
% 2.86/3.27 substitution1:
% 2.86/3.27 end
% 2.86/3.27
% 2.86/3.27 subsumption: (14634) {G18,W5,D2,L1,V0,M1} R(14610,244) { para( skol20,
% 2.86/3.27 skol26, skol20, skol20 ) }.
% 2.86/3.27 parent0: (21020) {G2,W5,D2,L1,V0,M1} { para( skol20, skol26, skol20,
% 2.86/3.27 skol20 ) }.
% 2.86/3.27 substitution0:
% 2.86/3.27 end
% 2.86/3.27 permutation0:
% 2.86/3.27 0 ==> 0
% 2.86/3.27 end
% 2.86/3.27
% 2.86/3.27 resolution: (21021) {G1,W13,D2,L3,V1,M3} { ! midp( X, skol20, skol20 ), !
% 2.86/3.27 para( skol20, skol26, skol20, skol20 ), midp( X, skol20, skol26 ) }.
% 2.86/3.27 parent0[1]: (64) {G0,W18,D2,L4,V5,M4} I { ! midp( Z, T, U ), ! para( T, X,
% 2.86/3.27 U, Y ), ! para( T, Y, U, X ), midp( Z, X, Y ) }.
% 2.86/3.27 parent1[0]: (14610) {G17,W5,D2,L1,V0,M1} R(14609,71);r(12239) { para(
% 2.86/3.27 skol20, skol20, skol20, skol26 ) }.
% 2.86/3.27 substitution0:
% 2.86/3.27 X := skol20
% 2.86/3.27 Y := skol26
% 2.86/3.27 Z := X
% 2.86/3.27 T := skol20
% 2.86/3.27 U := skol20
% 2.86/3.27 end
% 2.86/3.27 substitution1:
% 2.86/3.27 end
% 2.86/3.27
% 2.86/3.27 resolution: (21023) {G2,W8,D2,L2,V1,M2} { ! midp( X, skol20, skol20 ),
% 2.86/3.27 midp( X, skol20, skol26 ) }.
% 2.86/3.27 parent0[1]: (21021) {G1,W13,D2,L3,V1,M3} { ! midp( X, skol20, skol20 ), !
% 2.86/3.27 para( skol20, skol26, skol20, skol20 ), midp( X, skol20, skol26 ) }.
% 2.86/3.27 parent1[0]: (14634) {G18,W5,D2,L1,V0,M1} R(14610,244) { para( skol20,
% 2.86/3.27 skol26, skol20, skol20 ) }.
% 2.86/3.27 substitution0:
% 2.86/3.27 X := X
% 2.86/3.27 end
% 2.86/3.27 substitution1:
% 2.86/3.27 end
% 2.86/3.27
% 2.86/3.27 subsumption: (14637) {G19,W8,D2,L2,V1,M2} R(14610,64);r(14634) { ! midp( X
% 2.86/3.27 , skol20, skol20 ), midp( X, skol20, skol26 ) }.
% 2.86/3.27 parent0: (21023) {G2,W8,D2,L2,V1,M2} { ! midp( X, skol20, skol20 ), midp(
% 2.86/3.27 X, skol20, skol26 ) }.
% 2.86/3.27 substitution0:
% 2.86/3.27 X := X
% 2.86/3.27 end
% 2.86/3.27 permutation0:
% 2.86/3.27 0 ==> 0
% 2.86/3.27 1 ==> 1
% 2.86/3.27 end
% 2.86/3.27
% 2.86/3.27 resolution: (21024) {G1,W5,D2,L1,V0,M1} { para( skol20, skol20, skol26,
% 2.86/3.27 skol20 ) }.
% 2.86/3.27 parent0[0]: (3) {G0,W10,D2,L2,V4,M2} I { ! para( X, Y, Z, T ), para( X, Y,
% 2.86/3.27 T, Z ) }.
% 2.86/3.27 parent1[0]: (14610) {G17,W5,D2,L1,V0,M1} R(14609,71);r(12239) { para(
% 2.86/3.27 skol20, skol20, skol20, skol26 ) }.
% 2.86/3.27 substitution0:
% 2.86/3.27 X := skol20
% 2.86/3.27 Y := skol20
% 2.86/3.27 Z := skol20
% 2.86/3.27 T := skol26
% 2.86/3.27 end
% 2.86/3.27 substitution1:
% 2.86/3.27 end
% 2.86/3.27
% 2.86/3.27 subsumption: (14643) {G18,W5,D2,L1,V0,M1} R(14610,3) { para( skol20, skol20
% 2.86/3.27 , skol26, skol20 ) }.
% 2.86/3.27 parent0: (21024) {G1,W5,D2,L1,V0,M1} { para( skol20, skol20, skol26,
% 2.86/3.27 skol20 ) }.
% 2.86/3.27 substitution0:
% 2.86/3.27 end
% 2.86/3.27 permutation0:
% 2.86/3.27 0 ==> 0
% 2.86/3.27 end
% 2.86/3.27
% 2.86/3.27 resolution: (21025) {G1,W13,D2,L3,V1,M3} { ! midp( X, skol20, skol26 ), !
% 2.86/3.27 para( skol20, skol20, skol26, skol20 ), midp( X, skol20, skol20 ) }.
% 2.86/3.27 parent0[1]: (64) {G0,W18,D2,L4,V5,M4} I { ! midp( Z, T, U ), ! para( T, X,
% 2.86/3.27 U, Y ), ! para( T, Y, U, X ), midp( Z, X, Y ) }.
% 2.86/3.27 parent1[0]: (14643) {G18,W5,D2,L1,V0,M1} R(14610,3) { para( skol20, skol20
% 2.86/3.27 , skol26, skol20 ) }.
% 2.86/3.27 substitution0:
% 2.86/3.27 X := skol20
% 2.86/3.27 Y := skol20
% 2.86/3.27 Z := X
% 2.86/3.27 T := skol20
% 2.86/3.27 U := skol26
% 2.86/3.27 end
% 2.86/3.27 substitution1:
% 2.86/3.27 end
% 2.86/3.27
% 2.86/3.27 resolution: (21026) {G2,W8,D2,L2,V1,M2} { ! midp( X, skol20, skol26 ),
% 2.86/3.27 midp( X, skol20, skol20 ) }.
% 2.86/3.27 parent0[1]: (21025) {G1,W13,D2,L3,V1,M3} { ! midp( X, skol20, skol26 ), !
% 2.86/3.27 para( skol20, skol20, skol26, skol20 ), midp( X, skol20, skol20 ) }.
% 2.86/3.27 parent1[0]: (14643) {G18,W5,D2,L1,V0,M1} R(14610,3) { para( skol20, skol20
% 2.86/3.27 , skol26, skol20 ) }.
% 2.86/3.27 substitution0:
% 2.86/3.27 X := X
% 2.86/3.27 end
% 2.86/3.27 substitution1:
% 2.86/3.27 end
% 2.86/3.27
% 2.86/3.27 subsumption: (14695) {G19,W8,D2,L2,V1,M2} R(14643,64);r(14643) { ! midp( X
% 2.86/3.27 , skol20, skol26 ), midp( X, skol20, skol20 ) }.
% 2.86/3.27 parent0: (21026) {G2,W8,D2,L2,V1,M2} { ! midp( X, skol20, skol26 ), midp(
% 2.86/3.27 X, skol20, skol20 ) }.
% 2.86/3.27 substitution0:
% 2.86/3.27 X := X
% 2.86/3.27 end
% 2.86/3.27 permutation0:
% 2.86/3.27 0 ==> 0
% 2.86/3.27 1 ==> 1
% 2.86/3.27 end
% 2.86/3.27
% 2.86/3.27 resolution: (21027) {G1,W9,D2,L1,V2,M1} { eqangle( skol20, skol20, X, Y,
% 2.86/3.27 skol26, skol20, X, Y ) }.
% 2.86/3.27 parent0[0]: (39) {G0,W14,D2,L2,V6,M2} I { ! para( X, Y, Z, T ), eqangle( X
% 2.86/3.27 , Y, U, W, Z, T, U, W ) }.
% 2.86/3.27 parent1[0]: (14643) {G18,W5,D2,L1,V0,M1} R(14610,3) { para( skol20, skol20
% 2.86/3.27 , skol26, skol20 ) }.
% 2.86/3.27 substitution0:
% 2.86/3.27 X := skol20
% 2.86/3.27 Y := skol20
% 2.86/3.27 Z := skol26
% 2.86/3.27 T := skol20
% 2.86/3.27 U := X
% 2.86/3.27 W := Y
% 2.86/3.27 end
% 2.86/3.27 substitution1:
% 2.86/3.27 end
% 2.86/3.27
% 2.86/3.27 subsumption: (14697) {G19,W9,D2,L1,V2,M1} R(14643,39) { eqangle( skol20,
% 2.86/3.27 skol20, X, Y, skol26, skol20, X, Y ) }.
% 2.86/3.27 parent0: (21027) {G1,W9,D2,L1,V2,M1} { eqangle( skol20, skol20, X, Y,
% 2.86/3.27 skol26, skol20, X, Y ) }.
% 2.86/3.27 substitution0:
% 2.86/3.27 X := X
% 2.86/3.27 Y := Y
% 2.86/3.27 end
% 2.86/3.27 permutation0:
% 2.86/3.27 0 ==> 0
% 2.86/3.27 end
% 2.86/3.27
% 2.86/3.27 resolution: (21028) {G18,W8,D2,L2,V2,M2} { midp( X, Y, Y ), ! midp( X,
% 2.86/3.27 skol20, skol26 ) }.
% 2.86/3.27 parent0[0]: (12124) {G17,W8,D2,L2,V3,M2} R(12121,146) { ! midp( X, Y, Y ),
% 2.86/3.27 midp( X, Z, Z ) }.
% 2.86/3.27 parent1[1]: (14695) {G19,W8,D2,L2,V1,M2} R(14643,64);r(14643) { ! midp( X,
% 2.86/3.27 skol20, skol26 ), midp( X, skol20, skol20 ) }.
% 2.86/3.27 substitution0:
% 2.86/3.27 X := X
% 2.86/3.27 Y := skol20
% 2.86/3.27 Z := Y
% 2.86/3.27 end
% 2.86/3.27 substitution1:
% 2.86/3.27 X := X
% 2.86/3.27 end
% 2.86/3.27
% 2.86/3.27 subsumption: (14698) {G20,W8,D2,L2,V2,M2} R(14695,12124) { ! midp( X,
% 2.86/3.27 skol20, skol26 ), midp( X, Y, Y ) }.
% 2.86/3.27 parent0: (21028) {G18,W8,D2,L2,V2,M2} { midp( X, Y, Y ), ! midp( X, skol20
% 2.86/3.27 , skol26 ) }.
% 2.86/3.27 substitution0:
% 2.86/3.27 X := X
% 2.86/3.27 Y := Y
% 2.86/3.27 end
% 2.86/3.27 permutation0:
% 2.86/3.27 0 ==> 1
% 2.86/3.27 1 ==> 0
% 2.86/3.27 end
% 2.86/3.27
% 2.86/3.27 resolution: (21029) {G1,W8,D2,L2,V2,M2} { midp( X, Y, Y ), ! midp( X,
% 2.86/3.27 skol26, skol20 ) }.
% 2.86/3.27 parent0[0]: (14698) {G20,W8,D2,L2,V2,M2} R(14695,12124) { ! midp( X, skol20
% 2.86/3.27 , skol26 ), midp( X, Y, Y ) }.
% 2.86/3.27 parent1[1]: (10) {G0,W8,D2,L2,V3,M2} I { ! midp( Z, Y, X ), midp( Z, X, Y )
% 2.86/3.27 }.
% 2.86/3.27 substitution0:
% 2.86/3.27 X := X
% 2.86/3.27 Y := Y
% 2.86/3.27 end
% 2.86/3.27 substitution1:
% 2.86/3.27 X := skol20
% 2.86/3.27 Y := skol26
% 2.86/3.27 Z := X
% 2.86/3.27 end
% 2.86/3.27
% 2.86/3.27 subsumption: (14746) {G21,W8,D2,L2,V2,M2} R(14698,10) { midp( X, Y, Y ), !
% 2.86/3.27 midp( X, skol26, skol20 ) }.
% 2.86/3.27 parent0: (21029) {G1,W8,D2,L2,V2,M2} { midp( X, Y, Y ), ! midp( X, skol26
% 2.86/3.27 , skol20 ) }.
% 2.86/3.27 substitution0:
% 2.86/3.27 X := X
% 2.86/3.27 Y := Y
% 2.86/3.27 end
% 2.86/3.27 permutation0:
% 2.86/3.27 0 ==> 0
% 2.86/3.27 1 ==> 1
% 2.86/3.27 end
% 2.86/3.27
% 2.86/3.27 resolution: (21030) {G19,W6,D3,L1,V0,M1} { midp( skol7( skol20, skol20 ),
% 2.86/3.27 skol20, skol26 ) }.
% 2.86/3.27 parent0[0]: (14637) {G19,W8,D2,L2,V1,M2} R(14610,64);r(14634) { ! midp( X,
% 2.86/3.27 skol20, skol20 ), midp( X, skol20, skol26 ) }.
% 2.86/3.27 parent1[0]: (12133) {G18,W6,D3,L1,V1,M1} R(12124,9917) { midp( skol7(
% 2.86/3.27 skol20, skol20 ), X, X ) }.
% 2.86/3.27 substitution0:
% 2.86/3.27 X := skol7( skol20, skol20 )
% 2.86/3.27 end
% 2.86/3.27 substitution1:
% 2.86/3.27 X := skol20
% 2.86/3.27 end
% 2.86/3.27
% 2.86/3.27 subsumption: (14765) {G20,W6,D3,L1,V0,M1} R(14637,12133) { midp( skol7(
% 2.86/3.27 skol20, skol20 ), skol20, skol26 ) }.
% 2.86/3.27 parent0: (21030) {G19,W6,D3,L1,V0,M1} { midp( skol7( skol20, skol20 ),
% 2.86/3.27 skol20, skol26 ) }.
% 2.86/3.27 substitution0:
% 2.86/3.27 end
% 2.86/3.27 permutation0:
% 2.86/3.27 0 ==> 0
% 2.86/3.27 end
% 2.86/3.27
% 2.86/3.27 resolution: (21031) {G1,W6,D3,L1,V0,M1} { midp( skol7( skol20, skol20 ),
% 2.86/3.27 skol26, skol20 ) }.
% 2.86/3.27 parent0[0]: (10) {G0,W8,D2,L2,V3,M2} I { ! midp( Z, Y, X ), midp( Z, X, Y )
% 2.86/3.27 }.
% 2.86/3.27 parent1[0]: (14765) {G20,W6,D3,L1,V0,M1} R(14637,12133) { midp( skol7(
% 2.86/3.27 skol20, skol20 ), skol20, skol26 ) }.
% 2.86/3.27 substitution0:
% 2.86/3.27 X := skol26
% 2.86/3.27 Y := skol20
% 2.86/3.27 Z := skol7( skol20, skol20 )
% 2.86/3.27 end
% 2.86/3.27 substitution1:
% 2.86/3.27 end
% 2.86/3.27
% 2.86/3.27 subsumption: (14816) {G21,W6,D3,L1,V0,M1} R(14765,10) { midp( skol7( skol20
% 2.86/3.27 , skol20 ), skol26, skol20 ) }.
% 2.86/3.27 parent0: (21031) {G1,W6,D3,L1,V0,M1} { midp( skol7( skol20, skol20 ),
% 2.86/3.27 skol26, skol20 ) }.
% 2.86/3.27 substitution0:
% 2.86/3.27 end
% 2.86/3.27 permutation0:
% 2.86/3.27 0 ==> 0
% 2.86/3.27 end
% 2.86/3.27
% 2.86/3.27 resolution: (21032) {G2,W9,D2,L1,V2,M1} { eqangle( skol20, skol20, skol26
% 2.86/3.27 , skol20, X, Y, X, Y ) }.
% 2.86/3.27 parent0[1]: (459) {G1,W18,D2,L2,V8,M2} R(20,17) { eqangle( X, Y, Z, T, U, W
% 2.86/3.27 , V0, V1 ), ! eqangle( Y, X, U, W, Z, T, V0, V1 ) }.
% 2.86/3.27 parent1[0]: (14697) {G19,W9,D2,L1,V2,M1} R(14643,39) { eqangle( skol20,
% 2.86/3.27 skol20, X, Y, skol26, skol20, X, Y ) }.
% 2.86/3.27 substitution0:
% 2.86/3.27 X := skol20
% 2.86/3.27 Y := skol20
% 2.86/3.27 Z := skol26
% 2.86/3.27 T := skol20
% 2.86/3.27 U := X
% 2.86/3.27 W := Y
% 2.86/3.27 V0 := X
% 2.86/3.27 V1 := Y
% 2.86/3.27 end
% 2.86/3.27 substitution1:
% 2.86/3.27 X := X
% 2.86/3.27 Y := Y
% 2.86/3.27 end
% 2.86/3.27
% 2.86/3.27 subsumption: (14856) {G20,W9,D2,L1,V2,M1} R(14697,459) { eqangle( skol20,
% 2.86/3.27 skol20, skol26, skol20, X, Y, X, Y ) }.
% 2.86/3.27 parent0: (21032) {G2,W9,D2,L1,V2,M1} { eqangle( skol20, skol20, skol26,
% 2.86/3.27 skol20, X, Y, X, Y ) }.
% 2.86/3.27 substitution0:
% 2.86/3.27 X := X
% 2.86/3.27 Y := Y
% 2.86/3.27 end
% 2.86/3.27 permutation0:
% 2.86/3.27 0 ==> 0
% 2.86/3.27 end
% 2.86/3.27
% 2.86/3.27 resolution: (21033) {G2,W9,D2,L1,V2,M1} { eqangle( Y, X, X, Y, skol20,
% 2.86/3.27 skol20, skol26, skol20 ) }.
% 2.86/3.27 parent0[0]: (449) {G1,W18,D2,L2,V8,M2} R(19,17) { ! eqangle( X, Y, Z, T, U
% 2.86/3.27 , W, V0, V1 ), eqangle( W, U, V0, V1, X, Y, Z, T ) }.
% 2.86/3.27 parent1[0]: (14856) {G20,W9,D2,L1,V2,M1} R(14697,459) { eqangle( skol20,
% 2.86/3.27 skol20, skol26, skol20, X, Y, X, Y ) }.
% 2.86/3.27 substitution0:
% 2.86/3.27 X := skol20
% 2.86/3.27 Y := skol20
% 2.86/3.27 Z := skol26
% 2.86/3.27 T := skol20
% 2.86/3.27 U := X
% 2.86/3.27 W := Y
% 2.86/3.27 V0 := X
% 2.86/3.27 V1 := Y
% 2.86/3.27 end
% 2.86/3.27 substitution1:
% 2.86/3.27 X := X
% 2.86/3.27 Y := Y
% 2.86/3.27 end
% 2.86/3.27
% 2.86/3.27 subsumption: (14862) {G21,W9,D2,L1,V2,M1} R(14856,449) { eqangle( X, Y, Y,
% 2.86/3.27 X, skol20, skol20, skol26, skol20 ) }.
% 2.86/3.27 parent0: (21033) {G2,W9,D2,L1,V2,M1} { eqangle( Y, X, X, Y, skol20, skol20
% 2.86/3.27 , skol26, skol20 ) }.
% 2.86/3.27 substitution0:
% 2.86/3.27 X := Y
% 2.86/3.27 Y := X
% 2.86/3.27 end
% 2.86/3.27 permutation0:
% 2.86/3.27 0 ==> 0
% 2.86/3.27 end
% 2.86/3.27
% 2.86/3.27 resolution: (21034) {G1,W10,D2,L2,V2,M2} { ! perp( skol20, skol20, skol26
% 2.86/3.27 , skol20 ), perp( X, Y, Y, X ) }.
% 2.86/3.27 parent0[0]: (73) {G0,W19,D2,L3,V8,M3} I { ! eqangle( X, Y, Z, T, U, W, V0,
% 2.86/3.27 V1 ), ! perp( U, W, V0, V1 ), perp( X, Y, Z, T ) }.
% 2.86/3.27 parent1[0]: (14862) {G21,W9,D2,L1,V2,M1} R(14856,449) { eqangle( X, Y, Y, X
% 2.86/3.27 , skol20, skol20, skol26, skol20 ) }.
% 2.86/3.27 substitution0:
% 2.86/3.27 X := X
% 2.86/3.27 Y := Y
% 2.86/3.27 Z := Y
% 2.86/3.27 T := X
% 2.86/3.27 U := skol20
% 2.86/3.27 W := skol20
% 2.86/3.27 V0 := skol26
% 2.86/3.27 V1 := skol20
% 2.86/3.27 end
% 2.86/3.27 substitution1:
% 2.86/3.27 X := X
% 2.86/3.27 Y := Y
% 2.86/3.27 end
% 2.86/3.27
% 2.86/3.27 resolution: (21035) {G2,W5,D2,L1,V2,M1} { perp( X, Y, Y, X ) }.
% 2.86/3.27 parent0[0]: (21034) {G1,W10,D2,L2,V2,M2} { ! perp( skol20, skol20, skol26
% 2.86/3.27 , skol20 ), perp( X, Y, Y, X ) }.
% 2.86/3.27 parent1[0]: (14259) {G18,W5,D2,L1,V0,M1} R(14232,284) { perp( skol20,
% 2.86/3.27 skol20, skol26, skol20 ) }.
% 2.86/3.27 substitution0:
% 2.86/3.27 X := X
% 2.86/3.27 Y := Y
% 2.86/3.27 end
% 2.86/3.27 substitution1:
% 2.86/3.27 end
% 2.86/3.27
% 2.86/3.27 subsumption: (14872) {G22,W5,D2,L1,V2,M1} R(14862,73);r(14259) { perp( X, Y
% 2.86/3.27 , Y, X ) }.
% 2.86/3.27 parent0: (21035) {G2,W5,D2,L1,V2,M1} { perp( X, Y, Y, X ) }.
% 2.86/3.27 substitution0:
% 2.86/3.27 X := X
% 2.86/3.27 Y := Y
% 2.86/3.27 end
% 2.86/3.27 permutation0:
% 2.86/3.27 0 ==> 0
% 2.86/3.27 end
% 2.86/3.27
% 2.86/3.27 resolution: (21036) {G2,W5,D2,L1,V2,M1} { perp( Y, X, Y, X ) }.
% 2.86/3.27 parent0[0]: (285) {G1,W10,D2,L2,V4,M2} R(7,6) { ! perp( X, Y, Z, T ), perp
% 2.86/3.27 ( Z, T, Y, X ) }.
% 2.86/3.27 parent1[0]: (14872) {G22,W5,D2,L1,V2,M1} R(14862,73);r(14259) { perp( X, Y
% 2.86/3.27 , Y, X ) }.
% 2.86/3.27 substitution0:
% 2.86/3.27 X := X
% 2.86/3.27 Y := Y
% 2.86/3.27 Z := Y
% 2.86/3.27 T := X
% 2.86/3.27 end
% 2.86/3.27 substitution1:
% 2.86/3.27 X := X
% 2.86/3.27 Y := Y
% 2.86/3.27 end
% 2.86/3.27
% 2.86/3.27 subsumption: (14902) {G23,W5,D2,L1,V2,M1} R(14872,285) { perp( X, Y, X, Y )
% 2.86/3.27 }.
% 2.86/3.27 parent0: (21036) {G2,W5,D2,L1,V2,M1} { perp( Y, X, Y, X ) }.
% 2.86/3.27 substitution0:
% 2.86/3.27 X := Y
% 2.86/3.27 Y := X
% 2.86/3.27 end
% 2.86/3.27 permutation0:
% 2.86/3.27 0 ==> 0
% 2.86/3.27 end
% 2.86/3.27
% 2.86/3.27 resolution: (21037) {G1,W9,D2,L2,V3,M2} { ! midp( Z, X, X ), cong( X, Z, Y
% 2.86/3.27 , Z ) }.
% 2.86/3.27 parent0[0]: (52) {G0,W14,D2,L3,V4,M3} I { ! perp( X, Y, Y, T ), ! midp( Z,
% 2.86/3.27 X, T ), cong( X, Z, Y, Z ) }.
% 2.86/3.27 parent1[0]: (14872) {G22,W5,D2,L1,V2,M1} R(14862,73);r(14259) { perp( X, Y
% 2.86/3.27 , Y, X ) }.
% 2.86/3.27 substitution0:
% 2.86/3.27 X := X
% 2.86/3.27 Y := Y
% 2.86/3.27 Z := Z
% 2.86/3.27 T := X
% 2.86/3.27 end
% 2.86/3.27 substitution1:
% 2.86/3.27 X := X
% 2.86/3.27 Y := Y
% 2.86/3.27 end
% 2.86/3.27
% 2.86/3.27 subsumption: (14917) {G23,W9,D2,L2,V3,M2} R(14872,52) { ! midp( X, Y, Y ),
% 2.86/3.27 cong( Y, X, Z, X ) }.
% 2.86/3.27 parent0: (21037) {G1,W9,D2,L2,V3,M2} { ! midp( Z, X, X ), cong( X, Z, Y, Z
% 2.86/3.27 ) }.
% 2.86/3.27 substitution0:
% 2.86/3.27 X := Y
% 2.86/3.27 Y := Z
% 2.86/3.27 Z := X
% 2.86/3.27 end
% 2.86/3.27 permutation0:
% 2.86/3.27 0 ==> 0
% 2.86/3.27 1 ==> 1
% 2.86/3.27 end
% 2.86/3.27
% 2.86/3.27 resolution: (21038) {G2,W8,D3,L1,V2,M1} { perp( X, skol10( X, X, Y ), Y, X
% 2.86/3.27 ) }.
% 2.86/3.27 parent0[0]: (158) {G1,W13,D3,L2,V3,M2} F(95) { ! perp( X, Y, X, Z ), perp(
% 2.86/3.27 X, skol10( X, X, Z ), Z, X ) }.
% 2.86/3.27 parent1[0]: (14902) {G23,W5,D2,L1,V2,M1} R(14872,285) { perp( X, Y, X, Y )
% 2.86/3.27 }.
% 2.86/3.27 substitution0:
% 2.86/3.27 X := X
% 2.86/3.27 Y := Y
% 2.86/3.27 Z := Y
% 2.86/3.27 end
% 2.86/3.27 substitution1:
% 2.86/3.27 X := X
% 2.86/3.27 Y := Y
% 2.86/3.27 end
% 2.86/3.27
% 2.86/3.27 subsumption: (14927) {G24,W8,D3,L1,V2,M1} R(14902,158) { perp( X, skol10( X
% 2.86/3.27 , X, Y ), Y, X ) }.
% 2.86/3.27 parent0: (21038) {G2,W8,D3,L1,V2,M1} { perp( X, skol10( X, X, Y ), Y, X )
% 2.86/3.27 }.
% 2.86/3.27 substitution0:
% 2.86/3.27 X := X
% 2.86/3.27 Y := Y
% 2.86/3.27 end
% 2.86/3.27 permutation0:
% 2.86/3.27 0 ==> 0
% 2.86/3.27 end
% 2.86/3.27
% 2.86/3.27 resolution: (21039) {G1,W8,D3,L1,V2,M1} { perp( X, skol10( X, X, Y ), X, Y
% 2.86/3.27 ) }.
% 2.86/3.27 parent0[0]: (6) {G0,W10,D2,L2,V4,M2} I { ! perp( X, Y, Z, T ), perp( X, Y,
% 2.86/3.27 T, Z ) }.
% 2.86/3.27 parent1[0]: (14927) {G24,W8,D3,L1,V2,M1} R(14902,158) { perp( X, skol10( X
% 2.86/3.27 , X, Y ), Y, X ) }.
% 2.86/3.27 substitution0:
% 2.86/3.27 X := X
% 2.86/3.27 Y := skol10( X, X, Y )
% 2.86/3.27 Z := Y
% 2.86/3.27 T := X
% 2.86/3.27 end
% 2.86/3.27 substitution1:
% 2.86/3.27 X := X
% 2.86/3.27 Y := Y
% 2.86/3.27 end
% 2.86/3.27
% 2.86/3.27 subsumption: (15367) {G25,W8,D3,L1,V2,M1} R(14927,6) { perp( X, skol10( X,
% 2.86/3.27 X, Y ), X, Y ) }.
% 2.86/3.27 parent0: (21039) {G1,W8,D3,L1,V2,M1} { perp( X, skol10( X, X, Y ), X, Y )
% 2.86/3.27 }.
% 2.86/3.27 substitution0:
% 2.86/3.27 X := X
% 2.86/3.27 Y := Y
% 2.86/3.27 end
% 2.86/3.27 permutation0:
% 2.86/3.27 0 ==> 0
% 2.86/3.27 end
% 2.86/3.27
% 2.86/3.27 resolution: (21040) {G19,W4,D2,L1,V2,M1} { alpha1( Y, X, X ) }.
% 2.86/3.27 parent0[0]: (8447) {G18,W9,D2,L2,V4,M2} S(99);r(8441) { ! perp( Y, T, Z, X
% 2.86/3.27 ), alpha1( X, Y, Z ) }.
% 2.86/3.27 parent1[0]: (15367) {G25,W8,D3,L1,V2,M1} R(14927,6) { perp( X, skol10( X, X
% 2.86/3.27 , Y ), X, Y ) }.
% 2.86/3.27 substitution0:
% 2.86/3.27 X := Y
% 2.86/3.27 Y := X
% 2.86/3.27 Z := X
% 2.86/3.27 T := skol10( X, X, Y )
% 2.86/3.27 end
% 2.86/3.27 substitution1:
% 2.86/3.27 X := X
% 2.86/3.27 Y := Y
% 2.86/3.27 end
% 2.86/3.27
% 2.86/3.27 subsumption: (18894) {G26,W4,D2,L1,V2,M1} R(8447,15367) { alpha1( X, Y, Y )
% 2.86/3.27 }.
% 2.86/3.27 parent0: (21040) {G19,W4,D2,L1,V2,M1} { alpha1( Y, X, X ) }.
% 2.86/3.27 substitution0:
% 2.86/3.27 X := Y
% 2.86/3.27 Y := X
% 2.86/3.27 end
% 2.86/3.27 permutation0:
% 2.86/3.27 0 ==> 0
% 2.86/3.27 end
% 2.86/3.27
% 2.86/3.27 resolution: (21041) {G1,W8,D3,L1,V2,M1} { perp( Y, skol11( X, Y, Y ), Y, X
% 2.86/3.27 ) }.
% 2.86/3.27 parent0[0]: (98) {G0,W12,D3,L2,V3,M2} I { ! alpha1( X, Y, Z ), perp( Y,
% 2.86/3.27 skol11( X, Y, Z ), Z, X ) }.
% 2.86/3.27 parent1[0]: (18894) {G26,W4,D2,L1,V2,M1} R(8447,15367) { alpha1( X, Y, Y )
% 2.86/3.27 }.
% 2.86/3.27 substitution0:
% 2.86/3.27 X := X
% 2.86/3.27 Y := Y
% 2.86/3.27 Z := Y
% 2.86/3.27 end
% 2.86/3.27 substitution1:
% 2.86/3.27 X := X
% 2.86/3.27 Y := Y
% 2.86/3.27 end
% 2.86/3.27
% 2.86/3.27 subsumption: (18970) {G27,W8,D3,L1,V2,M1} R(18894,98) { perp( X, skol11( Y
% 2.86/3.27 , X, X ), X, Y ) }.
% 2.86/3.27 parent0: (21041) {G1,W8,D3,L1,V2,M1} { perp( Y, skol11( X, Y, Y ), Y, X )
% 2.86/3.27 }.
% 2.86/3.27 substitution0:
% 2.86/3.27 X := Y
% 2.86/3.27 Y := X
% 2.86/3.27 end
% 2.86/3.27 permutation0:
% 2.86/3.27 0 ==> 0
% 2.86/3.27 end
% 2.86/3.27
% 2.86/3.27 resolution: (21042) {G5,W8,D3,L1,V0,M1} { ! para( skol24, skol23, skol20,
% 2.86/3.27 skol11( skol22, skol20, skol20 ) ) }.
% 2.86/3.27 parent0[1]: (310) {G4,W10,D2,L2,V2,M2} R(9,307) { ! para( skol24, skol23, X
% 2.86/3.27 , Y ), ! perp( X, Y, skol20, skol22 ) }.
% 2.86/3.27 parent1[0]: (18970) {G27,W8,D3,L1,V2,M1} R(18894,98) { perp( X, skol11( Y,
% 2.86/3.27 X, X ), X, Y ) }.
% 2.86/3.27 substitution0:
% 2.86/3.27 X := skol20
% 2.86/3.27 Y := skol11( skol22, skol20, skol20 )
% 2.86/3.27 end
% 2.86/3.27 substitution1:
% 2.86/3.27 X := skol20
% 2.86/3.27 Y := skol22
% 2.86/3.27 end
% 2.86/3.27
% 2.86/3.27 subsumption: (19054) {G28,W8,D3,L1,V0,M1} R(18970,310) { ! para( skol24,
% 2.86/3.27 skol23, skol20, skol11( skol22, skol20, skol20 ) ) }.
% 2.86/3.27 parent0: (21042) {G5,W8,D3,L1,V0,M1} { ! para( skol24, skol23, skol20,
% 2.86/3.27 skol11( skol22, skol20, skol20 ) ) }.
% 2.86/3.27 substitution0:
% 2.86/3.27 end
% 2.86/3.27 permutation0:
% 2.86/3.27 0 ==> 0
% 2.86/3.27 end
% 2.86/3.27
% 2.86/3.27 resolution: (21043) {G18,W9,D2,L2,V4,M2} { cong( Y, X, Z, X ), ! midp( X,
% 2.86/3.27 T, T ) }.
% 2.86/3.27 parent0[0]: (14917) {G23,W9,D2,L2,V3,M2} R(14872,52) { ! midp( X, Y, Y ),
% 2.86/3.27 cong( Y, X, Z, X ) }.
% 2.86/3.27 parent1[1]: (12124) {G17,W8,D2,L2,V3,M2} R(12121,146) { ! midp( X, Y, Y ),
% 2.86/3.27 midp( X, Z, Z ) }.
% 2.86/3.27 substitution0:
% 2.86/3.27 X := X
% 2.86/3.27 Y := Y
% 2.86/3.27 Z := Z
% 2.86/3.27 end
% 2.86/3.27 substitution1:
% 2.86/3.27 X := X
% 2.86/3.27 Y := T
% 2.86/3.27 Z := Y
% 2.86/3.27 end
% 2.86/3.27
% 2.86/3.27 subsumption: (19763) {G24,W9,D2,L2,V4,M2} R(14917,12124) { cong( X, Y, Z, Y
% 2.86/3.27 ), ! midp( Y, T, T ) }.
% 2.86/3.27 parent0: (21043) {G18,W9,D2,L2,V4,M2} { cong( Y, X, Z, X ), ! midp( X, T,
% 2.86/3.27 T ) }.
% 2.86/3.27 substitution0:
% 2.86/3.27 X := Y
% 2.86/3.27 Y := X
% 2.86/3.27 Z := Z
% 2.86/3.27 T := T
% 2.86/3.27 end
% 2.86/3.27 permutation0:
% 2.86/3.27 0 ==> 0
% 2.86/3.27 1 ==> 1
% 2.86/3.27 end
% 2.86/3.27
% 2.86/3.27 resolution: (21044) {G2,W9,D2,L2,V4,M2} { perp( X, Z, Y, Y ), ! midp( Y, T
% 2.86/3.27 , T ) }.
% 2.86/3.27 parent0[0]: (142) {G1,W10,D2,L2,V3,M2} F(56) { ! cong( X, Y, Z, Y ), perp(
% 2.86/3.27 X, Z, Y, Y ) }.
% 2.86/3.27 parent1[0]: (19763) {G24,W9,D2,L2,V4,M2} R(14917,12124) { cong( X, Y, Z, Y
% 2.86/3.27 ), ! midp( Y, T, T ) }.
% 2.86/3.27 substitution0:
% 2.86/3.27 X := X
% 2.86/3.27 Y := Y
% 2.86/3.27 Z := Z
% 2.86/3.27 end
% 2.86/3.27 substitution1:
% 2.86/3.27 X := X
% 2.86/3.27 Y := Y
% 2.86/3.27 Z := Z
% 2.86/3.27 T := T
% 2.86/3.27 end
% 2.86/3.27
% 2.86/3.27 subsumption: (19801) {G25,W9,D2,L2,V4,M2} R(19763,142) { ! midp( X, Y, Y )
% 2.86/3.27 , perp( Z, T, X, X ) }.
% 2.86/3.27 parent0: (21044) {G2,W9,D2,L2,V4,M2} { perp( X, Z, Y, Y ), ! midp( Y, T, T
% 2.86/3.27 ) }.
% 2.86/3.27 substitution0:
% 2.86/3.27 X := Z
% 2.86/3.27 Y := X
% 2.86/3.27 Z := T
% 2.86/3.27 T := Y
% 2.86/3.27 end
% 2.86/3.27 permutation0:
% 2.86/3.27 0 ==> 1
% 2.86/3.27 1 ==> 0
% 2.86/3.27 end
% 2.86/3.27
% 2.86/3.27 resolution: (21045) {G22,W9,D2,L2,V3,M2} { perp( Z, T, X, X ), ! midp( X,
% 2.86/3.27 skol26, skol20 ) }.
% 2.86/3.27 parent0[0]: (19801) {G25,W9,D2,L2,V4,M2} R(19763,142) { ! midp( X, Y, Y ),
% 2.86/3.27 perp( Z, T, X, X ) }.
% 2.86/3.27 parent1[0]: (14746) {G21,W8,D2,L2,V2,M2} R(14698,10) { midp( X, Y, Y ), !
% 2.86/3.27 midp( X, skol26, skol20 ) }.
% 2.86/3.27 substitution0:
% 2.86/3.27 X := X
% 2.86/3.27 Y := Y
% 2.86/3.27 Z := Z
% 2.86/3.27 T := T
% 2.86/3.27 end
% 2.86/3.27 substitution1:
% 2.86/3.27 X := X
% 2.86/3.27 Y := Y
% 2.86/3.27 end
% 2.86/3.27
% 2.86/3.27 subsumption: (19874) {G26,W9,D2,L2,V3,M2} R(19801,14746) { perp( X, Y, Z, Z
% 2.86/3.27 ), ! midp( Z, skol26, skol20 ) }.
% 2.86/3.27 parent0: (21045) {G22,W9,D2,L2,V3,M2} { perp( Z, T, X, X ), ! midp( X,
% 2.86/3.27 skol26, skol20 ) }.
% 2.86/3.27 substitution0:
% 2.86/3.27 X := Z
% 2.86/3.27 Y := T
% 2.86/3.27 Z := X
% 2.86/3.27 T := Y
% 2.86/3.27 end
% 2.86/3.27 permutation0:
% 2.86/3.27 0 ==> 0
% 2.86/3.27 1 ==> 1
% 2.86/3.27 end
% 2.86/3.27
% 2.86/3.27 resolution: (21046) {G2,W9,D2,L2,V4,M2} { perp( Z, Z, Y, X ), ! midp( Z, T
% 2.86/3.27 , T ) }.
% 2.86/3.27 parent0[0]: (285) {G1,W10,D2,L2,V4,M2} R(7,6) { ! perp( X, Y, Z, T ), perp
% 2.86/3.27 ( Z, T, Y, X ) }.
% 2.86/3.27 parent1[1]: (19801) {G25,W9,D2,L2,V4,M2} R(19763,142) { ! midp( X, Y, Y ),
% 2.86/3.27 perp( Z, T, X, X ) }.
% 2.86/3.27 substitution0:
% 2.86/3.27 X := X
% 2.86/3.27 Y := Y
% 2.86/3.27 Z := Z
% 2.86/3.27 T := Z
% 2.86/3.27 end
% 2.86/3.27 substitution1:
% 2.86/3.27 X := Z
% 2.86/3.27 Y := T
% 2.86/3.27 Z := X
% 2.86/3.27 T := Y
% 2.86/3.27 end
% 2.86/3.27
% 2.86/3.27 subsumption: (19890) {G26,W9,D2,L2,V4,M2} R(19801,285) { ! midp( X, Y, Y )
% 2.86/3.27 , perp( X, X, Z, T ) }.
% 2.86/3.27 parent0: (21046) {G2,W9,D2,L2,V4,M2} { perp( Z, Z, Y, X ), ! midp( Z, T, T
% 2.86/3.27 ) }.
% 2.86/3.27 substitution0:
% 2.86/3.27 X := T
% 2.86/3.27 Y := Z
% 2.86/3.27 Z := X
% 2.86/3.27 T := Y
% 2.86/3.27 end
% 2.86/3.27 permutation0:
% 2.86/3.27 0 ==> 1
% 2.86/3.27 1 ==> 0
% 2.86/3.27 end
% 2.86/3.27
% 2.86/3.27 resolution: (21047) {G22,W9,D2,L2,V3,M2} { perp( X, X, Z, T ), ! midp( X,
% 2.86/3.27 skol26, skol20 ) }.
% 2.86/3.27 parent0[0]: (19890) {G26,W9,D2,L2,V4,M2} R(19801,285) { ! midp( X, Y, Y ),
% 2.86/3.27 perp( X, X, Z, T ) }.
% 2.86/3.27 parent1[0]: (14746) {G21,W8,D2,L2,V2,M2} R(14698,10) { midp( X, Y, Y ), !
% 2.86/3.27 midp( X, skol26, skol20 ) }.
% 2.86/3.27 substitution0:
% 2.86/3.27 X := X
% 2.86/3.27 Y := Y
% 2.86/3.27 Z := Z
% 2.86/3.27 T := T
% 2.86/3.27 end
% 2.86/3.27 substitution1:
% 2.86/3.27 X := X
% 2.86/3.27 Y := Y
% 2.86/3.27 end
% 2.86/3.27
% 2.86/3.27 subsumption: (19893) {G27,W9,D2,L2,V3,M2} R(19890,14746) { perp( X, X, Y, Z
% 2.86/3.27 ), ! midp( X, skol26, skol20 ) }.
% 2.86/3.27 parent0: (21047) {G22,W9,D2,L2,V3,M2} { perp( X, X, Z, T ), ! midp( X,
% 2.86/3.27 skol26, skol20 ) }.
% 2.86/3.27 substitution0:
% 2.86/3.27 X := X
% 2.86/3.27 Y := T
% 2.86/3.27 Z := Y
% 2.86/3.27 T := Z
% 2.86/3.27 end
% 2.86/3.27 permutation0:
% 2.86/3.27 0 ==> 0
% 2.86/3.27 1 ==> 1
% 2.86/3.27 end
% 2.86/3.27
% 2.86/3.27 resolution: (21049) {G2,W14,D2,L3,V5,M3} { ! perp( X, Y, Z, Z ), para( T,
% 2.86/3.27 U, X, Y ), ! midp( Z, skol26, skol20 ) }.
% 2.86/3.27 parent0[1]: (299) {G1,W15,D2,L3,V6,M3} R(8,4) { ! perp( X, Y, Z, T ), !
% 2.86/3.27 perp( Z, T, U, W ), para( U, W, X, Y ) }.
% 2.86/3.27 parent1[0]: (19893) {G27,W9,D2,L2,V3,M2} R(19890,14746) { perp( X, X, Y, Z
% 2.86/3.27 ), ! midp( X, skol26, skol20 ) }.
% 2.86/3.27 substitution0:
% 2.86/3.27 X := X
% 2.86/3.27 Y := Y
% 2.86/3.27 Z := Z
% 2.86/3.27 T := Z
% 2.86/3.27 U := T
% 2.86/3.27 W := U
% 2.86/3.27 end
% 2.86/3.27 substitution1:
% 2.86/3.27 X := Z
% 2.86/3.27 Y := T
% 2.86/3.27 Z := U
% 2.86/3.27 end
% 2.86/3.27
% 2.86/3.27 resolution: (21050) {G3,W13,D2,L3,V5,M3} { para( T, U, X, Y ), ! midp( Z,
% 2.86/3.27 skol26, skol20 ), ! midp( Z, skol26, skol20 ) }.
% 2.86/3.27 parent0[0]: (21049) {G2,W14,D2,L3,V5,M3} { ! perp( X, Y, Z, Z ), para( T,
% 2.86/3.27 U, X, Y ), ! midp( Z, skol26, skol20 ) }.
% 2.86/3.27 parent1[0]: (19874) {G26,W9,D2,L2,V3,M2} R(19801,14746) { perp( X, Y, Z, Z
% 2.86/3.27 ), ! midp( Z, skol26, skol20 ) }.
% 2.86/3.27 substitution0:
% 2.86/3.27 X := X
% 2.86/3.27 Y := Y
% 2.86/3.27 Z := Z
% 2.86/3.27 T := T
% 2.86/3.27 U := U
% 2.86/3.27 end
% 2.86/3.27 substitution1:
% 2.86/3.27 X := X
% 2.86/3.27 Y := Y
% 2.86/3.27 Z := Z
% 2.86/3.27 end
% 2.86/3.27
% 2.86/3.27 factor: (21051) {G3,W9,D2,L2,V5,M2} { para( X, Y, Z, T ), ! midp( U,
% 2.86/3.27 skol26, skol20 ) }.
% 2.86/3.27 parent0[1, 2]: (21050) {G3,W13,D2,L3,V5,M3} { para( T, U, X, Y ), ! midp(
% 2.86/3.27 Z, skol26, skol20 ), ! midp( Z, skol26, skol20 ) }.
% 2.86/3.27 substitution0:
% 2.86/3.27 X := Z
% 2.86/3.27 Y := T
% 2.86/3.27 Z := U
% 2.86/3.27 T := X
% 2.86/3.27 U := Y
% 2.86/3.27 end
% 2.86/3.27
% 2.86/3.27 subsumption: (19917) {G28,W9,D2,L2,V5,M2} R(19893,299);r(19874) { ! midp( X
% 2.86/3.27 , skol26, skol20 ), para( T, U, Y, Z ) }.
% 2.86/3.27 parent0: (21051) {G3,W9,D2,L2,V5,M2} { para( X, Y, Z, T ), ! midp( U,
% 2.86/3.27 skol26, skol20 ) }.
% 2.86/3.27 substitution0:
% 2.86/3.27 X := T
% 2.86/3.27 Y := U
% 2.86/3.27 Z := Y
% 2.86/3.27 T := Z
% 2.86/3.27 U := X
% 2.86/3.27 end
% 2.86/3.27 permutation0:
% 2.86/3.27 0 ==> 1
% 2.86/3.27 1 ==> 0
% 2.86/3.27 end
% 2.86/3.27
% 2.86/3.27 resolution: (21052) {G29,W4,D2,L1,V1,M1} { ! midp( X, skol26, skol20 ) }.
% 2.86/3.27 parent0[0]: (19054) {G28,W8,D3,L1,V0,M1} R(18970,310) { ! para( skol24,
% 2.86/3.27 skol23, skol20, skol11( skol22, skol20, skol20 ) ) }.
% 2.86/3.27 parent1[1]: (19917) {G28,W9,D2,L2,V5,M2} R(19893,299);r(19874) { ! midp( X
% 2.86/3.27 , skol26, skol20 ), para( T, U, Y, Z ) }.
% 2.86/3.27 substitution0:
% 2.86/3.27 end
% 2.86/3.27 substitution1:
% 2.86/3.27 X := X
% 2.86/3.27 Y := skol20
% 2.86/3.27 Z := skol11( skol22, skol20, skol20 )
% 2.86/3.27 T := skol24
% 2.86/3.27 U := skol23
% 2.86/3.27 end
% 2.86/3.27
% 2.86/3.27 subsumption: (19920) {G29,W4,D2,L1,V1,M1} R(19917,19054) { ! midp( X,
% 2.86/3.27 skol26, skol20 ) }.
% 2.86/3.27 parent0: (21052) {G29,W4,D2,L1,V1,M1} { ! midp( X, skol26, skol20 ) }.
% 2.86/3.27 substitution0:
% 2.86/3.27 X := X
% 2.86/3.27 end
% 2.86/3.27 permutation0:
% 2.86/3.27 0 ==> 0
% 2.86/3.27 end
% 2.86/3.27
% 2.86/3.27 resolution: (21053) {G22,W0,D0,L0,V0,M0} { }.
% 2.86/3.27 parent0[0]: (19920) {G29,W4,D2,L1,V1,M1} R(19917,19054) { ! midp( X, skol26
% 2.86/3.27 , skol20 ) }.
% 2.86/3.27 parent1[0]: (14816) {G21,W6,D3,L1,V0,M1} R(14765,10) { midp( skol7( skol20
% 2.86/3.27 , skol20 ), skol26, skol20 ) }.
% 2.86/3.27 substitution0:
% 2.86/3.27 X := skol7( skol20, skol20 )
% 2.86/3.27 end
% 2.86/3.27 substitution1:
% 2.86/3.27 end
% 2.86/3.27
% 2.86/3.27 subsumption: (19924) {G30,W0,D0,L0,V0,M0} R(19920,14816) { }.
% 2.86/3.27 parent0: (21053) {G22,W0,D0,L0,V0,M0} { }.
% 2.86/3.27 substitution0:
% 2.86/3.27 end
% 2.86/3.27 permutation0:
% 2.86/3.27 end
% 2.86/3.27
% 2.86/3.27 Proof check complete!
% 2.86/3.27
% 2.86/3.27 Memory use:
% 2.86/3.27
% 2.86/3.27 space for terms: 325162
% 2.86/3.27 space for clauses: 1053554
% 2.86/3.27
% 2.86/3.27
% 2.86/3.27 clauses generated: 143974
% 2.86/3.27 clauses kept: 19925
% 2.86/3.27 clauses selected: 2416
% 2.86/3.27 clauses deleted: 1636
% 2.86/3.27 clauses inuse deleted: 968
% 2.86/3.27
% 2.86/3.27 subsentry: 1230568
% 2.86/3.27 literals s-matched: 793648
% 2.86/3.27 literals matched: 436773
% 2.86/3.27 full subsumption: 178318
% 2.86/3.27
% 2.86/3.27 checksum: 2075467173
% 2.86/3.27
% 2.86/3.27
% 2.86/3.27 Bliksem ended
%------------------------------------------------------------------------------