TSTP Solution File: GEO569+1 by Bliksem---1.12
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- Process Solution
%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : GEO569+1 : TPTP v8.1.0. Released v7.5.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n017.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 0s
% DateTime : Sat Jul 16 02:54:47 EDT 2022
% Result : Theorem 2.40s 2.81s
% Output : Refutation 2.40s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.11 % Problem : GEO569+1 : TPTP v8.1.0. Released v7.5.0.
% 0.06/0.12 % Command : bliksem %s
% 0.12/0.33 % Computer : n017.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 16:12:12 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.72/1.11 *** allocated 10000 integers for termspace/termends
% 0.72/1.11 *** allocated 10000 integers for clauses
% 0.72/1.11 *** allocated 10000 integers for justifications
% 0.72/1.11 Bliksem 1.12
% 0.72/1.11
% 0.72/1.11
% 0.72/1.11 Automatic Strategy Selection
% 0.72/1.11
% 0.72/1.11 *** allocated 15000 integers for termspace/termends
% 0.72/1.11
% 0.72/1.11 Clauses:
% 0.72/1.11
% 0.72/1.11 { ! coll( X, Y, Z ), coll( X, Z, Y ) }.
% 0.72/1.11 { ! coll( X, Y, Z ), coll( Y, X, Z ) }.
% 0.72/1.11 { ! coll( X, T, Y ), ! coll( X, T, Z ), coll( Y, Z, X ) }.
% 0.72/1.11 { ! para( X, Y, Z, T ), para( X, Y, T, Z ) }.
% 0.72/1.11 { ! para( X, Y, Z, T ), para( Z, T, X, Y ) }.
% 0.72/1.11 { ! para( X, Y, U, W ), ! para( U, W, Z, T ), para( X, Y, Z, T ) }.
% 0.72/1.11 { ! perp( X, Y, Z, T ), perp( X, Y, T, Z ) }.
% 0.72/1.11 { ! perp( X, Y, Z, T ), perp( Z, T, X, Y ) }.
% 0.72/1.11 { ! perp( X, Y, U, W ), ! perp( U, W, Z, T ), para( X, Y, Z, T ) }.
% 0.72/1.11 { ! para( X, Y, U, W ), ! perp( U, W, Z, T ), perp( X, Y, Z, T ) }.
% 0.72/1.11 { ! midp( Z, Y, X ), midp( Z, X, Y ) }.
% 0.72/1.11 { ! cong( T, X, T, Y ), ! cong( T, X, T, Z ), circle( T, X, Y, Z ) }.
% 0.72/1.11 { ! cong( U, X, U, Y ), ! cong( U, X, U, Z ), ! cong( U, X, U, T ), cyclic
% 0.72/1.11 ( X, Y, Z, T ) }.
% 0.72/1.11 { ! cyclic( X, Y, Z, T ), cyclic( X, Y, T, Z ) }.
% 0.72/1.11 { ! cyclic( X, Y, Z, T ), cyclic( X, Z, Y, T ) }.
% 0.72/1.11 { ! cyclic( X, Y, Z, T ), cyclic( Y, X, Z, T ) }.
% 0.72/1.11 { ! cyclic( U, X, Y, Z ), ! cyclic( U, X, Y, T ), cyclic( X, Y, Z, T ) }.
% 0.72/1.11 { ! eqangle( X, Y, Z, T, U, W, V0, V1 ), eqangle( Y, X, Z, T, U, W, V0, V1
% 0.72/1.11 ) }.
% 0.72/1.11 { ! eqangle( X, Y, Z, T, U, W, V0, V1 ), eqangle( Z, T, X, Y, V0, V1, U, W
% 0.72/1.11 ) }.
% 0.72/1.11 { ! eqangle( X, Y, Z, T, U, W, V0, V1 ), eqangle( U, W, V0, V1, X, Y, Z, T
% 0.72/1.11 ) }.
% 0.72/1.11 { ! eqangle( X, Y, Z, T, U, W, V0, V1 ), eqangle( X, Y, U, W, Z, T, V0, V1
% 0.72/1.11 ) }.
% 0.72/1.11 { ! eqangle( X, Y, Z, T, V2, V3, V4, V5 ), ! eqangle( V2, V3, V4, V5, U, W
% 0.72/1.11 , V0, V1 ), eqangle( X, Y, Z, T, U, W, V0, V1 ) }.
% 0.72/1.11 { ! cong( X, Y, Z, T ), cong( X, Y, T, Z ) }.
% 0.72/1.11 { ! cong( X, Y, Z, T ), cong( Z, T, X, Y ) }.
% 0.72/1.11 { ! cong( X, Y, U, W ), ! cong( U, W, Z, T ), cong( X, Y, Z, T ) }.
% 0.72/1.11 { ! eqratio( X, Y, Z, T, U, W, V0, V1 ), eqratio( Y, X, Z, T, U, W, V0, V1
% 0.72/1.11 ) }.
% 0.72/1.11 { ! eqratio( X, Y, Z, T, U, W, V0, V1 ), eqratio( Z, T, X, Y, V0, V1, U, W
% 0.72/1.11 ) }.
% 0.72/1.11 { ! eqratio( X, Y, Z, T, U, W, V0, V1 ), eqratio( U, W, V0, V1, X, Y, Z, T
% 0.72/1.11 ) }.
% 0.72/1.11 { ! eqratio( X, Y, Z, T, U, W, V0, V1 ), eqratio( X, Y, U, W, Z, T, V0, V1
% 0.72/1.11 ) }.
% 0.72/1.11 { ! eqratio( X, Y, Z, T, V2, V3, V4, V5 ), ! eqratio( V2, V3, V4, V5, U, W
% 0.72/1.11 , V0, V1 ), eqratio( X, Y, Z, T, U, W, V0, V1 ) }.
% 0.72/1.11 { ! simtri( X, Z, Y, T, W, U ), simtri( X, Y, Z, T, U, W ) }.
% 0.72/1.11 { ! simtri( Y, X, Z, U, T, W ), simtri( X, Y, Z, T, U, W ) }.
% 0.72/1.11 { ! simtri( T, U, W, X, Y, Z ), simtri( X, Y, Z, T, U, W ) }.
% 0.72/1.11 { ! simtri( X, Y, Z, V0, V1, V2 ), ! simtri( V0, V1, V2, T, U, W ), simtri
% 0.72/1.11 ( X, Y, Z, T, U, W ) }.
% 0.72/1.11 { ! contri( X, Z, Y, T, W, U ), contri( X, Y, Z, T, U, W ) }.
% 0.72/1.11 { ! contri( Y, X, Z, U, T, W ), contri( X, Y, Z, T, U, W ) }.
% 0.72/1.11 { ! contri( T, U, W, X, Y, Z ), contri( X, Y, Z, T, U, W ) }.
% 0.72/1.11 { ! contri( X, Y, Z, V0, V1, V2 ), ! contri( V0, V1, V2, T, U, W ), contri
% 0.72/1.11 ( X, Y, Z, T, U, W ) }.
% 0.72/1.11 { ! eqangle( X, Y, U, W, Z, T, U, W ), para( X, Y, Z, T ) }.
% 0.72/1.11 { ! para( X, Y, Z, T ), eqangle( X, Y, U, W, Z, T, U, W ) }.
% 0.72/1.11 { ! cyclic( X, Y, Z, T ), eqangle( Z, X, Z, Y, T, X, T, Y ) }.
% 0.72/1.11 { ! eqangle( Z, X, Z, Y, T, X, T, Y ), coll( Z, T, X ), cyclic( X, Y, Z, T
% 0.72/1.11 ) }.
% 0.72/1.11 { ! eqangle( Z, X, Z, Y, T, X, T, Y ), ! coll( Z, T, Y ), cyclic( X, Y, Z,
% 0.72/1.11 T ) }.
% 0.72/1.11 { ! cyclic( X, Y, U, Z ), ! cyclic( X, Y, U, T ), ! cyclic( X, Y, U, W ), !
% 0.72/1.11 eqangle( U, X, U, Y, W, Z, W, T ), cong( X, Y, Z, T ) }.
% 0.72/1.11 { ! midp( Z, U, X ), ! midp( T, U, Y ), para( Z, T, X, Y ) }.
% 0.72/1.11 { ! midp( U, X, T ), ! para( U, Z, T, Y ), ! coll( Z, X, Y ), midp( Z, X, Y
% 0.72/1.11 ) }.
% 0.72/1.11 { ! cong( Z, X, Z, Y ), eqangle( Z, X, X, Y, X, Y, Z, Y ) }.
% 0.72/1.11 { ! eqangle( Z, X, X, Y, X, Y, Z, Y ), coll( Z, X, Y ), cong( Z, X, Z, Y )
% 0.72/1.11 }.
% 0.72/1.11 { ! circle( U, X, Y, Z ), ! perp( U, X, X, T ), eqangle( X, T, X, Y, Z, X,
% 0.72/1.11 Z, Y ) }.
% 0.72/1.11 { ! circle( Y, X, T, U ), ! eqangle( X, Z, X, T, U, X, U, T ), perp( Y, X,
% 0.72/1.11 X, Z ) }.
% 0.72/1.11 { ! circle( T, X, Y, Z ), ! midp( U, Y, Z ), eqangle( X, Y, X, Z, T, Y, T,
% 0.72/1.11 U ) }.
% 0.72/1.11 { ! circle( U, T, X, Y ), ! coll( Z, X, Y ), ! eqangle( T, X, T, Y, U, X, U
% 0.72/1.11 , Z ), midp( Z, X, Y ) }.
% 0.72/1.11 { ! perp( X, Y, Y, T ), ! midp( Z, X, T ), cong( X, Z, Y, Z ) }.
% 0.72/1.11 { ! circle( T, X, Y, Z ), ! coll( T, X, Z ), perp( X, Y, Y, Z ) }.
% 0.72/1.11 { ! cyclic( X, Y, Z, T ), ! para( X, Y, Z, T ), eqangle( X, T, Z, T, Z, T,
% 0.72/1.11 Z, Y ) }.
% 0.72/1.11 { ! midp( T, X, Y ), ! perp( Z, T, X, Y ), cong( Z, X, Z, Y ) }.
% 0.72/1.11 { ! cong( X, Z, Y, Z ), ! cong( X, T, Y, T ), perp( X, Y, Z, T ) }.
% 0.72/1.11 { ! cong( X, Y, T, Y ), ! cong( X, Z, T, Z ), ! cyclic( X, T, Y, Z ), perp
% 0.72/1.11 ( Y, X, X, Z ) }.
% 0.72/1.11 { ! eqangle( X, Y, Y, Z, T, U, U, W ), ! eqangle( X, Z, Y, Z, T, W, U, W )
% 0.72/1.11 , coll( X, Y, Z ), simtri( X, Y, Z, T, U, W ) }.
% 0.72/1.11 { ! simtri( X, Y, Z, T, U, W ), eqratio( X, Y, X, Z, T, U, T, W ) }.
% 0.72/1.11 { ! simtri( X, Y, Z, T, U, W ), eqangle( X, Y, Y, Z, T, U, U, W ) }.
% 0.72/1.11 { ! simtri( X, Y, Z, T, U, W ), ! cong( X, Y, T, U ), contri( X, Y, Z, T, U
% 0.72/1.11 , W ) }.
% 0.72/1.11 { ! contri( X, Y, U, Z, T, W ), cong( X, Y, Z, T ) }.
% 0.72/1.11 { ! midp( U, X, Y ), ! midp( U, Z, T ), para( X, Z, Y, T ) }.
% 0.72/1.11 { ! midp( Z, T, U ), ! para( T, X, U, Y ), ! para( T, Y, U, X ), midp( Z, X
% 0.72/1.11 , Y ) }.
% 0.72/1.11 { ! para( X, Y, Z, T ), ! coll( U, X, Z ), ! coll( U, Y, T ), eqratio( U, X
% 0.72/1.11 , X, Z, U, Y, Y, T ) }.
% 0.72/1.11 { ! para( X, Y, X, Z ), coll( X, Y, Z ) }.
% 0.72/1.11 { ! cong( X, Y, X, Z ), ! coll( X, Y, Z ), midp( X, Y, Z ) }.
% 0.72/1.11 { ! midp( X, Y, Z ), cong( X, Y, X, Z ) }.
% 0.72/1.11 { ! midp( X, Y, Z ), coll( X, Y, Z ) }.
% 0.72/1.11 { ! midp( U, X, Y ), ! midp( W, Z, T ), eqratio( U, X, X, Y, W, Z, Z, T ) }
% 0.72/1.11 .
% 0.72/1.11 { ! eqangle( X, Y, Z, T, Z, T, X, Y ), para( X, Y, Z, T ), perp( X, Y, Z, T
% 0.72/1.11 ) }.
% 0.72/1.11 { ! eqangle( X, Y, Z, T, Z, T, X, Y ), perp( X, Y, Z, T ), para( X, Y, Z, T
% 0.72/1.11 ) }.
% 0.72/1.11 { ! eqangle( X, Y, Z, T, U, W, V0, V1 ), ! para( U, W, V0, V1 ), para( X, Y
% 0.72/1.11 , Z, T ) }.
% 0.72/1.11 { ! eqangle( X, Y, Z, T, U, W, V0, V1 ), ! perp( U, W, V0, V1 ), perp( X, Y
% 0.72/1.11 , Z, T ) }.
% 0.72/1.11 { ! eqratio( X, Y, Z, T, U, W, V0, V1 ), ! cong( U, W, V0, V1 ), cong( X, Y
% 0.72/1.11 , Z, T ) }.
% 0.72/1.11 { ! perp( Z, Y, Y, X ), ! eqangle( T, Z, Y, Z, Y, Z, X, Z ), coll( skol1( U
% 0.72/1.11 , W, Z, T ), Z, T ) }.
% 0.72/1.11 { ! perp( Z, Y, Y, X ), ! eqangle( T, Z, Y, Z, Y, Z, X, Z ), coll( skol1( X
% 0.72/1.11 , Y, Z, T ), X, Y ) }.
% 0.72/1.11 { ! cong( Z, X, Z, Y ), ! eqangle( X, Z, Z, T, Z, T, Z, Y ), coll( skol2( U
% 0.72/1.11 , W, Z, T ), Z, T ) }.
% 0.72/1.11 { ! cong( Z, X, Z, Y ), ! eqangle( X, Z, Z, T, Z, T, Z, Y ), coll( Y, X,
% 0.72/1.11 skol2( X, Y, Z, T ) ) }.
% 0.72/1.11 { ! perp( Z, T, X, Y ), ! eqangle( X, Z, Z, T, Z, T, Z, Y ), coll( skol3( U
% 0.72/1.11 , W, Z, T ), Z, T ) }.
% 0.72/1.11 { ! perp( Z, T, X, Y ), ! eqangle( X, Z, Z, T, Z, T, Z, Y ), coll( Y, X,
% 0.72/1.11 skol3( X, Y, Z, T ) ) }.
% 0.72/1.11 { ! perp( Z, T, X, Y ), ! cong( Z, X, Z, Y ), coll( skol4( U, W, Z, T ), Z
% 0.72/1.11 , T ) }.
% 0.72/1.11 { ! perp( Z, T, X, Y ), ! cong( Z, X, Z, Y ), coll( Y, X, skol4( X, Y, Z, T
% 0.72/1.11 ) ) }.
% 0.72/1.11 { ! eqangle( X, Z, Y, Z, X, T, Y, U ), coll( X, Y, Z ), cyclic( T, Y, Z,
% 0.72/1.11 skol5( W, Y, Z, T ) ) }.
% 0.72/1.11 { ! eqangle( X, Z, Y, Z, X, T, Y, U ), coll( X, Y, Z ), eqangle( X, Z, Y, Z
% 0.72/1.11 , X, skol5( X, Y, Z, T ), Y, skol5( X, Y, Z, T ) ) }.
% 0.72/1.11 { ! midp( U, X, Y ), ! midp( W, Z, T ), midp( skol6( X, V0, V1, T, V2, V3 )
% 0.72/1.11 , X, T ) }.
% 0.72/1.11 { ! midp( U, X, Y ), ! midp( W, Z, T ), para( skol6( X, V0, Z, T, V1, W ),
% 0.72/1.11 W, X, Z ) }.
% 0.72/1.11 { ! midp( U, X, Y ), ! midp( W, Z, T ), para( skol6( X, Y, Z, T, U, W ), U
% 0.72/1.11 , Y, T ) }.
% 0.72/1.11 { ! midp( Z, X, Y ), ! midp( W, T, U ), ! coll( T, X, Y ), ! coll( U, X, Y
% 0.72/1.11 ), midp( skol7( X, V0 ), X, V0 ) }.
% 0.72/1.11 { ! midp( T, X, U ), ! para( X, W, Z, T ), ! para( X, W, U, Y ), ! coll( W
% 0.72/1.11 , Y, Z ), coll( skol8( V0, V1, Z, T ), T, Z ) }.
% 0.72/1.11 { ! midp( T, X, U ), ! para( X, W, Z, T ), ! para( X, W, U, Y ), ! coll( W
% 0.72/1.11 , Y, Z ), coll( skol8( X, Y, Z, T ), X, Y ) }.
% 0.72/1.11 { ! cong( T, Z, T, U ), ! perp( X, Y, Y, T ), cong( T, Z, T, skol9( W, V0,
% 0.72/1.11 Z, T ) ) }.
% 0.72/1.11 { ! cong( T, Z, T, U ), ! perp( X, Y, Y, T ), cong( Y, Z, Y, skol9( W, Y, Z
% 0.72/1.11 , T ) ) }.
% 0.72/1.11 { ! cong( T, Z, T, U ), ! perp( X, Y, Y, T ), para( skol9( X, Y, Z, T ), Z
% 0.72/1.11 , X, Y ) }.
% 0.72/1.11 { ! perp( X, T, Y, Z ), ! perp( Y, T, X, Z ), coll( skol10( U, Y, Z ), Z, Y
% 0.72/1.11 ) }.
% 0.72/1.11 { ! perp( X, T, Y, Z ), ! perp( Y, T, X, Z ), perp( X, skol10( X, Y, Z ), Z
% 0.72/1.11 , Y ) }.
% 0.72/1.11 { ! perp( X, T, Y, Z ), ! perp( Y, T, X, Z ), alpha1( X, Y, Z ) }.
% 0.72/1.11 { ! alpha1( X, Y, Z ), coll( skol11( X, T, Z ), Z, X ) }.
% 0.72/1.11 { ! alpha1( X, Y, Z ), perp( Y, skol11( X, Y, Z ), Z, X ) }.
% 0.72/1.11 { ! coll( T, Z, X ), ! perp( Y, T, Z, X ), alpha1( X, Y, Z ) }.
% 0.72/1.11 { ! circle( Y, X, Z, T ), perp( skol12( X, Y ), X, X, Y ) }.
% 2.40/2.81 { ! circle( W, X, Y, Z ), ! cong( W, X, W, T ), ! cong( U, X, U, Y ), W = U
% 2.40/2.81 , alpha2( X, Z, U, skol13( X, V0, Z, V1, U ) ) }.
% 2.40/2.81 { ! circle( W, X, Y, Z ), ! cong( W, X, W, T ), ! cong( U, X, U, Y ), W = U
% 2.40/2.81 , coll( skol21( V0, Y, T, V1 ), Y, T ) }.
% 2.40/2.81 { ! circle( W, X, Y, Z ), ! cong( W, X, W, T ), ! cong( U, X, U, Y ), W = U
% 2.40/2.81 , cong( skol21( X, Y, T, U ), U, U, X ) }.
% 2.40/2.81 { ! alpha2( X, Y, Z, T ), coll( T, X, Y ) }.
% 2.40/2.81 { ! alpha2( X, Y, Z, T ), cong( T, Z, Z, X ) }.
% 2.40/2.81 { ! coll( T, X, Y ), ! cong( T, Z, Z, X ), alpha2( X, Y, Z, T ) }.
% 2.40/2.81 { ! cyclic( X, Y, Z, T ), ! para( X, Y, Z, T ), ! midp( U, X, Y ), circle(
% 2.40/2.81 skol14( X, Y, Z ), X, Y, Z ) }.
% 2.40/2.81 { ! perp( X, Z, Z, Y ), ! cyclic( X, Y, Z, T ), circle( skol15( X, Y, Z ),
% 2.40/2.81 X, Y, Z ) }.
% 2.40/2.81 { ! perp( X, U, U, T ), ! coll( T, Y, Z ), coll( skol16( W, Y, Z ), Y, Z )
% 2.40/2.81 }.
% 2.40/2.81 { ! perp( X, U, U, T ), ! coll( T, Y, Z ), perp( skol16( X, Y, Z ), X, Y, Z
% 2.40/2.81 ) }.
% 2.40/2.81 { ! perp( X, Z, X, Y ), ! perp( Y, X, Y, T ), ! midp( U, Z, T ), midp(
% 2.40/2.81 skol17( X, Y ), X, Y ) }.
% 2.40/2.81 { ! cong( Y, X, Y, Z ), ! perp( X, Y, Y, Z ), coll( X, Y, skol18( X, Y ) )
% 2.40/2.81 }.
% 2.40/2.81 { ! cong( Y, X, Y, Z ), ! perp( X, Y, Y, Z ), cong( Y, X, Y, skol18( X, Y )
% 2.40/2.81 ) }.
% 2.40/2.81 { ! para( U, W, X, Y ), ! coll( Z, U, X ), ! coll( Z, W, Y ), ! coll( T, U
% 2.40/2.81 , W ), coll( Z, T, skol19( V0, V1, Z, T ) ) }.
% 2.40/2.81 { ! para( U, W, X, Y ), ! coll( Z, U, X ), ! coll( Z, W, Y ), ! coll( T, U
% 2.40/2.81 , W ), coll( skol19( X, Y, Z, T ), X, Y ) }.
% 2.40/2.81 { circle( skol26, skol25, skol20, skol22 ) }.
% 2.40/2.81 { midp( skol27, skol20, skol25 ) }.
% 2.40/2.81 { midp( skol28, skol22, skol25 ) }.
% 2.40/2.81 { coll( skol23, skol26, skol27 ) }.
% 2.40/2.81 { coll( skol23, skol25, skol22 ) }.
% 2.40/2.81 { coll( skol24, skol26, skol28 ) }.
% 2.40/2.81 { coll( skol24, skol25, skol20 ) }.
% 2.40/2.81 { ! cyclic( skol24, skol20, skol22, skol23 ) }.
% 2.40/2.81
% 2.40/2.81 percentage equality = 0.008772, percentage horn = 0.927419
% 2.40/2.81 This is a problem with some equality
% 2.40/2.81
% 2.40/2.81
% 2.40/2.81
% 2.40/2.81 Options Used:
% 2.40/2.81
% 2.40/2.81 useres = 1
% 2.40/2.81 useparamod = 1
% 2.40/2.81 useeqrefl = 1
% 2.40/2.81 useeqfact = 1
% 2.40/2.81 usefactor = 1
% 2.40/2.81 usesimpsplitting = 0
% 2.40/2.81 usesimpdemod = 5
% 2.40/2.81 usesimpres = 3
% 2.40/2.81
% 2.40/2.81 resimpinuse = 1000
% 2.40/2.81 resimpclauses = 20000
% 2.40/2.81 substype = eqrewr
% 2.40/2.81 backwardsubs = 1
% 2.40/2.81 selectoldest = 5
% 2.40/2.81
% 2.40/2.81 litorderings [0] = split
% 2.40/2.81 litorderings [1] = extend the termordering, first sorting on arguments
% 2.40/2.81
% 2.40/2.81 termordering = kbo
% 2.40/2.81
% 2.40/2.81 litapriori = 0
% 2.40/2.81 termapriori = 1
% 2.40/2.81 litaposteriori = 0
% 2.40/2.81 termaposteriori = 0
% 2.40/2.81 demodaposteriori = 0
% 2.40/2.81 ordereqreflfact = 0
% 2.40/2.81
% 2.40/2.81 litselect = negord
% 2.40/2.81
% 2.40/2.81 maxweight = 15
% 2.40/2.81 maxdepth = 30000
% 2.40/2.81 maxlength = 115
% 2.40/2.81 maxnrvars = 195
% 2.40/2.81 excuselevel = 1
% 2.40/2.81 increasemaxweight = 1
% 2.40/2.81
% 2.40/2.81 maxselected = 10000000
% 2.40/2.81 maxnrclauses = 10000000
% 2.40/2.81
% 2.40/2.81 showgenerated = 0
% 2.40/2.81 showkept = 0
% 2.40/2.81 showselected = 0
% 2.40/2.81 showdeleted = 0
% 2.40/2.81 showresimp = 1
% 2.40/2.81 showstatus = 2000
% 2.40/2.81
% 2.40/2.81 prologoutput = 0
% 2.40/2.81 nrgoals = 5000000
% 2.40/2.81 totalproof = 1
% 2.40/2.81
% 2.40/2.81 Symbols occurring in the translation:
% 2.40/2.81
% 2.40/2.81 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 2.40/2.81 . [1, 2] (w:1, o:39, a:1, s:1, b:0),
% 2.40/2.81 ! [4, 1] (w:0, o:34, a:1, s:1, b:0),
% 2.40/2.81 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 2.40/2.81 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 2.40/2.81 coll [38, 3] (w:1, o:67, a:1, s:1, b:0),
% 2.40/2.81 para [40, 4] (w:1, o:75, a:1, s:1, b:0),
% 2.40/2.81 perp [43, 4] (w:1, o:76, a:1, s:1, b:0),
% 2.40/2.81 midp [45, 3] (w:1, o:68, a:1, s:1, b:0),
% 2.40/2.81 cong [47, 4] (w:1, o:77, a:1, s:1, b:0),
% 2.40/2.81 circle [48, 4] (w:1, o:78, a:1, s:1, b:0),
% 2.40/2.81 cyclic [49, 4] (w:1, o:79, a:1, s:1, b:0),
% 2.40/2.81 eqangle [54, 8] (w:1, o:94, a:1, s:1, b:0),
% 2.40/2.81 eqratio [57, 8] (w:1, o:95, a:1, s:1, b:0),
% 2.40/2.81 simtri [59, 6] (w:1, o:91, a:1, s:1, b:0),
% 2.40/2.81 contri [60, 6] (w:1, o:92, a:1, s:1, b:0),
% 2.40/2.81 alpha1 [66, 3] (w:1, o:69, a:1, s:1, b:1),
% 2.40/2.81 alpha2 [67, 4] (w:1, o:80, a:1, s:1, b:1),
% 2.40/2.81 skol1 [68, 4] (w:1, o:81, a:1, s:1, b:1),
% 2.40/2.81 skol2 [69, 4] (w:1, o:83, a:1, s:1, b:1),
% 2.40/2.81 skol3 [70, 4] (w:1, o:85, a:1, s:1, b:1),
% 2.40/2.81 skol4 [71, 4] (w:1, o:86, a:1, s:1, b:1),
% 2.40/2.81 skol5 [72, 4] (w:1, o:87, a:1, s:1, b:1),
% 2.40/2.81 skol6 [73, 6] (w:1, o:93, a:1, s:1, b:1),
% 2.40/2.81 skol7 [74, 2] (w:1, o:63, a:1, s:1, b:1),
% 2.40/2.81 skol8 [75, 4] (w:1, o:88, a:1, s:1, b:1),
% 2.40/2.81 skol9 [76, 4] (w:1, o:89, a:1, s:1, b:1),
% 2.40/2.81 skol10 [77, 3] (w:1, o:70, a:1, s:1, b:1),
% 2.40/2.81 skol11 [78, 3] (w:1, o:71, a:1, s:1, b:1),
% 2.40/2.81 skol12 [79, 2] (w:1, o:64, a:1, s:1, b:1),
% 2.40/2.81 skol13 [80, 5] (w:1, o:90, a:1, s:1, b:1),
% 2.40/2.81 skol14 [81, 3] (w:1, o:72, a:1, s:1, b:1),
% 2.40/2.81 skol15 [82, 3] (w:1, o:73, a:1, s:1, b:1),
% 2.40/2.81 skol16 [83, 3] (w:1, o:74, a:1, s:1, b:1),
% 2.40/2.81 skol17 [84, 2] (w:1, o:65, a:1, s:1, b:1),
% 2.40/2.81 skol18 [85, 2] (w:1, o:66, a:1, s:1, b:1),
% 2.40/2.81 skol19 [86, 4] (w:1, o:82, a:1, s:1, b:1),
% 2.40/2.81 skol20 [87, 0] (w:1, o:26, a:1, s:1, b:1),
% 2.40/2.81 skol21 [88, 4] (w:1, o:84, a:1, s:1, b:1),
% 2.40/2.81 skol22 [89, 0] (w:1, o:27, a:1, s:1, b:1),
% 2.40/2.81 skol23 [90, 0] (w:1, o:28, a:1, s:1, b:1),
% 2.40/2.81 skol24 [91, 0] (w:1, o:29, a:1, s:1, b:1),
% 2.40/2.81 skol25 [92, 0] (w:1, o:30, a:1, s:1, b:1),
% 2.40/2.81 skol26 [93, 0] (w:1, o:31, a:1, s:1, b:1),
% 2.40/2.81 skol27 [94, 0] (w:1, o:32, a:1, s:1, b:1),
% 2.40/2.81 skol28 [95, 0] (w:1, o:33, a:1, s:1, b:1).
% 2.40/2.81
% 2.40/2.81
% 2.40/2.81 Starting Search:
% 2.40/2.81
% 2.40/2.81 *** allocated 15000 integers for clauses
% 2.40/2.81 *** allocated 22500 integers for clauses
% 2.40/2.81 *** allocated 33750 integers for clauses
% 2.40/2.81 *** allocated 50625 integers for clauses
% 2.40/2.81 *** allocated 22500 integers for termspace/termends
% 2.40/2.81 *** allocated 75937 integers for clauses
% 2.40/2.81 Resimplifying inuse:
% 2.40/2.81 Done
% 2.40/2.81
% 2.40/2.81 *** allocated 33750 integers for termspace/termends
% 2.40/2.81 *** allocated 113905 integers for clauses
% 2.40/2.81 *** allocated 50625 integers for termspace/termends
% 2.40/2.81
% 2.40/2.81 Intermediate Status:
% 2.40/2.81 Generated: 9767
% 2.40/2.81 Kept: 2031
% 2.40/2.81 Inuse: 326
% 2.40/2.81 Deleted: 0
% 2.40/2.81 Deletedinuse: 0
% 2.40/2.81
% 2.40/2.81 Resimplifying inuse:
% 2.40/2.81 Done
% 2.40/2.81
% 2.40/2.81 *** allocated 170857 integers for clauses
% 2.40/2.81 *** allocated 75937 integers for termspace/termends
% 2.40/2.81 Resimplifying inuse:
% 2.40/2.81 Done
% 2.40/2.81
% 2.40/2.81 *** allocated 256285 integers for clauses
% 2.40/2.81 *** allocated 113905 integers for termspace/termends
% 2.40/2.81
% 2.40/2.81 Intermediate Status:
% 2.40/2.81 Generated: 20596
% 2.40/2.81 Kept: 4041
% 2.40/2.81 Inuse: 466
% 2.40/2.81 Deleted: 0
% 2.40/2.81 Deletedinuse: 0
% 2.40/2.81
% 2.40/2.81 Resimplifying inuse:
% 2.40/2.81 Done
% 2.40/2.81
% 2.40/2.81 Resimplifying inuse:
% 2.40/2.81 Done
% 2.40/2.81
% 2.40/2.81 *** allocated 384427 integers for clauses
% 2.40/2.81 *** allocated 170857 integers for termspace/termends
% 2.40/2.81
% 2.40/2.81 Intermediate Status:
% 2.40/2.81 Generated: 34344
% 2.40/2.81 Kept: 6222
% 2.40/2.81 Inuse: 546
% 2.40/2.81 Deleted: 0
% 2.40/2.81 Deletedinuse: 0
% 2.40/2.81
% 2.40/2.81 Resimplifying inuse:
% 2.40/2.81 Done
% 2.40/2.81
% 2.40/2.81 Resimplifying inuse:
% 2.40/2.81 Done
% 2.40/2.81
% 2.40/2.81 *** allocated 576640 integers for clauses
% 2.40/2.81
% 2.40/2.81 Intermediate Status:
% 2.40/2.81 Generated: 47515
% 2.40/2.81 Kept: 8229
% 2.40/2.81 Inuse: 701
% 2.40/2.81 Deleted: 1
% 2.40/2.81 Deletedinuse: 0
% 2.40/2.81
% 2.40/2.81 Resimplifying inuse:
% 2.40/2.81 Done
% 2.40/2.81
% 2.40/2.81 *** allocated 256285 integers for termspace/termends
% 2.40/2.81 Resimplifying inuse:
% 2.40/2.81 Done
% 2.40/2.81
% 2.40/2.81
% 2.40/2.81 Intermediate Status:
% 2.40/2.81 Generated: 58585
% 2.40/2.81 Kept: 10231
% 2.40/2.81 Inuse: 879
% 2.40/2.81 Deleted: 914
% 2.40/2.81 Deletedinuse: 556
% 2.40/2.81
% 2.40/2.81 Resimplifying inuse:
% 2.40/2.81 Done
% 2.40/2.81
% 2.40/2.81 Resimplifying inuse:
% 2.40/2.81 Done
% 2.40/2.81
% 2.40/2.81 *** allocated 864960 integers for clauses
% 2.40/2.81
% 2.40/2.81 Intermediate Status:
% 2.40/2.81 Generated: 74242
% 2.40/2.81 Kept: 12253
% 2.40/2.81 Inuse: 1173
% 2.40/2.81 Deleted: 949
% 2.40/2.81 Deletedinuse: 561
% 2.40/2.81
% 2.40/2.81 Resimplifying inuse:
% 2.40/2.81 Done
% 2.40/2.81
% 2.40/2.81 Resimplifying inuse:
% 2.40/2.81 Done
% 2.40/2.81
% 2.40/2.81
% 2.40/2.81 Intermediate Status:
% 2.40/2.81 Generated: 94857
% 2.40/2.81 Kept: 14268
% 2.40/2.81 Inuse: 1442
% 2.40/2.81 Deleted: 962
% 2.40/2.81 Deletedinuse: 561
% 2.40/2.81
% 2.40/2.81 Resimplifying inuse:
% 2.40/2.81 Done
% 2.40/2.81
% 2.40/2.81 *** allocated 384427 integers for termspace/termends
% 2.40/2.81 Resimplifying inuse:
% 2.40/2.81 Done
% 2.40/2.81
% 2.40/2.81
% 2.40/2.81 Intermediate Status:
% 2.40/2.81 Generated: 120031
% 2.40/2.81 Kept: 16374
% 2.40/2.81 Inuse: 1752
% 2.40/2.81 Deleted: 1059
% 2.40/2.81 Deletedinuse: 565
% 2.40/2.81
% 2.40/2.81 Resimplifying inuse:
% 2.40/2.81 Done
% 2.40/2.81
% 2.40/2.81
% 2.40/2.81 Bliksems!, er is een bewijs:
% 2.40/2.81 % SZS status Theorem
% 2.40/2.81 % SZS output start Refutation
% 2.40/2.81
% 2.40/2.81 (0) {G0,W8,D2,L2,V3,M2} I { ! coll( X, Y, Z ), coll( X, Z, Y ) }.
% 2.40/2.81 (1) {G0,W8,D2,L2,V3,M2} I { ! coll( X, Y, Z ), coll( Y, X, Z ) }.
% 2.40/2.81 (2) {G0,W12,D2,L3,V4,M3} I { ! coll( X, T, Y ), ! coll( X, T, Z ), coll( Y
% 2.40/2.81 , Z, X ) }.
% 2.40/2.81 (4) {G0,W10,D2,L2,V4,M2} I { ! para( X, Y, Z, T ), para( Z, T, X, Y ) }.
% 2.40/2.81 (6) {G0,W10,D2,L2,V4,M2} I { ! perp( X, Y, Z, T ), perp( X, Y, T, Z ) }.
% 2.40/2.81 (7) {G0,W10,D2,L2,V4,M2} I { ! perp( X, Y, Z, T ), perp( Z, T, X, Y ) }.
% 2.40/2.81 (8) {G0,W15,D2,L3,V6,M3} I { ! perp( X, Y, U, W ), ! perp( U, W, Z, T ),
% 2.40/2.81 para( X, Y, Z, T ) }.
% 2.40/2.81 (10) {G0,W8,D2,L2,V3,M2} I { ! midp( Z, Y, X ), midp( Z, X, Y ) }.
% 2.40/2.81 (11) {G0,W15,D2,L3,V4,M3} I { ! cong( T, X, T, Y ), ! cong( T, X, T, Z ),
% 2.40/2.81 circle( T, X, Y, Z ) }.
% 2.40/2.81 (12) {G0,W20,D2,L4,V5,M4} I { ! cong( U, X, U, Y ), ! cong( U, X, U, Z ), !
% 2.40/2.81 cong( U, X, U, T ), cyclic( X, Y, Z, T ) }.
% 2.40/2.81 (13) {G0,W10,D2,L2,V4,M2} I { ! cyclic( X, Y, Z, T ), cyclic( X, Y, T, Z )
% 2.40/2.81 }.
% 2.40/2.81 (14) {G0,W10,D2,L2,V4,M2} I { ! cyclic( X, Y, Z, T ), cyclic( X, Z, Y, T )
% 2.40/2.81 }.
% 2.40/2.81 (15) {G0,W10,D2,L2,V4,M2} I { ! cyclic( X, Y, Z, T ), cyclic( Y, X, Z, T )
% 2.40/2.81 }.
% 2.40/2.81 (16) {G0,W15,D2,L3,V5,M3} I { ! cyclic( U, X, Y, Z ), ! cyclic( U, X, Y, T
% 2.40/2.81 ), cyclic( X, Y, Z, T ) }.
% 2.40/2.81 (17) {G0,W18,D2,L2,V8,M2} I { ! eqangle( X, Y, Z, T, U, W, V0, V1 ),
% 2.40/2.81 eqangle( Y, X, Z, T, U, W, V0, V1 ) }.
% 2.40/2.81 (19) {G0,W18,D2,L2,V8,M2} I { ! eqangle( X, Y, Z, T, U, W, V0, V1 ),
% 2.40/2.81 eqangle( U, W, V0, V1, X, Y, Z, T ) }.
% 2.40/2.81 (20) {G0,W18,D2,L2,V8,M2} I { ! eqangle( X, Y, Z, T, U, W, V0, V1 ),
% 2.40/2.81 eqangle( X, Y, U, W, Z, T, V0, V1 ) }.
% 2.40/2.81 (22) {G0,W10,D2,L2,V4,M2} I { ! cong( X, Y, Z, T ), cong( X, Y, T, Z ) }.
% 2.40/2.81 (23) {G0,W10,D2,L2,V4,M2} I { ! cong( X, Y, Z, T ), cong( Z, T, X, Y ) }.
% 2.40/2.81 (24) {G0,W15,D2,L3,V6,M3} I { ! cong( X, Y, U, W ), ! cong( U, W, Z, T ),
% 2.40/2.81 cong( X, Y, Z, T ) }.
% 2.40/2.81 (39) {G0,W14,D2,L2,V6,M2} I { ! para( X, Y, Z, T ), eqangle( X, Y, U, W, Z
% 2.40/2.81 , T, U, W ) }.
% 2.40/2.81 (44) {G0,W13,D2,L3,V5,M3} I { ! midp( Z, U, X ), ! midp( T, U, Y ), para( Z
% 2.40/2.81 , T, X, Y ) }.
% 2.40/2.81 (52) {G0,W14,D2,L3,V4,M3} I { ! perp( X, Y, Y, T ), ! midp( Z, X, T ), cong
% 2.40/2.81 ( X, Z, Y, Z ) }.
% 2.40/2.81 (56) {G0,W15,D2,L3,V4,M3} I { ! cong( X, Z, Y, Z ), ! cong( X, T, Y, T ),
% 2.40/2.81 perp( X, Y, Z, T ) }.
% 2.40/2.81 (64) {G0,W18,D2,L4,V5,M4} I { ! midp( Z, T, U ), ! para( T, X, U, Y ), !
% 2.40/2.81 para( T, Y, U, X ), midp( Z, X, Y ) }.
% 2.40/2.81 (68) {G0,W9,D2,L2,V3,M2} I { ! midp( X, Y, Z ), cong( X, Y, X, Z ) }.
% 2.40/2.81 (69) {G0,W8,D2,L2,V3,M2} I { ! midp( X, Y, Z ), coll( X, Y, Z ) }.
% 2.40/2.81 (73) {G0,W19,D2,L3,V8,M3} I { ! eqangle( X, Y, Z, T, U, W, V0, V1 ), ! perp
% 2.40/2.81 ( U, W, V0, V1 ), perp( X, Y, Z, T ) }.
% 2.40/2.81 (88) {G0,W22,D3,L5,V7,M5} I { ! midp( Z, X, Y ), ! midp( W, T, U ), ! coll
% 2.40/2.81 ( T, X, Y ), ! coll( U, X, Y ), midp( skol7( X, V0 ), X, V0 ) }.
% 2.40/2.81 (95) {G0,W18,D3,L3,V4,M3} I { ! perp( X, T, Y, Z ), ! perp( Y, T, X, Z ),
% 2.40/2.81 perp( X, skol10( X, Y, Z ), Z, Y ) }.
% 2.40/2.81 (100) {G0,W12,D3,L2,V4,M2} I { ! circle( Y, X, Z, T ), perp( skol12( X, Y )
% 2.40/2.81 , X, X, Y ) }.
% 2.40/2.81 (110) {G0,W17,D3,L3,V5,M3} I { ! perp( X, U, U, T ), ! coll( T, Y, Z ),
% 2.40/2.81 perp( skol16( X, Y, Z ), X, Y, Z ) }.
% 2.40/2.81 (117) {G0,W4,D2,L1,V0,M1} I { midp( skol27, skol20, skol25 ) }.
% 2.40/2.81 (118) {G0,W4,D2,L1,V0,M1} I { midp( skol28, skol22, skol25 ) }.
% 2.40/2.81 (120) {G0,W4,D2,L1,V0,M1} I { coll( skol23, skol25, skol22 ) }.
% 2.40/2.81 (123) {G0,W5,D2,L1,V0,M1} I { ! cyclic( skol24, skol20, skol22, skol23 )
% 2.40/2.81 }.
% 2.40/2.81 (126) {G1,W10,D2,L2,V3,M2} F(11) { ! cong( X, Y, X, Z ), circle( X, Y, Z, Z
% 2.40/2.81 ) }.
% 2.40/2.81 (135) {G1,W9,D2,L2,V3,M2} F(44) { ! midp( X, Y, Z ), para( X, X, Z, Z ) }.
% 2.40/2.81 (136) {G1,W10,D2,L2,V3,M2} F(56) { ! cong( X, Y, Z, Y ), perp( X, Z, Y, Y )
% 2.40/2.81 }.
% 2.40/2.81 (140) {G1,W13,D2,L3,V4,M3} F(64) { ! midp( X, Y, Z ), ! para( Y, T, Z, T )
% 2.40/2.81 , midp( X, T, T ) }.
% 2.40/2.81 (146) {G1,W18,D3,L4,V4,M4} F(88) { ! midp( X, Y, Z ), ! coll( Y, Y, Z ), !
% 2.40/2.81 coll( Z, Y, Z ), midp( skol7( Y, T ), Y, T ) }.
% 2.40/2.81 (152) {G1,W13,D3,L2,V3,M2} F(95) { ! perp( X, Y, X, Z ), perp( X, skol10( X
% 2.40/2.81 , X, Z ), Z, X ) }.
% 2.40/2.81 (169) {G1,W8,D2,L2,V3,M2} R(1,0) { coll( X, Y, Z ), ! coll( Y, Z, X ) }.
% 2.40/2.81 (170) {G1,W8,D2,L2,V3,M2} R(1,0) { ! coll( X, Y, Z ), coll( Y, Z, X ) }.
% 2.40/2.81 (172) {G1,W4,D2,L1,V0,M1} R(1,120) { coll( skol25, skol23, skol22 ) }.
% 2.40/2.81 (200) {G1,W12,D2,L3,V4,M3} R(2,0) { ! coll( X, Y, Z ), ! coll( X, Y, T ),
% 2.40/2.81 coll( Z, X, T ) }.
% 2.40/2.81 (209) {G2,W8,D2,L2,V3,M2} F(200) { ! coll( X, Y, Z ), coll( Z, X, Z ) }.
% 2.40/2.81 (254) {G3,W4,D2,L1,V0,M1} R(209,172) { coll( skol22, skol25, skol22 ) }.
% 2.40/2.81 (264) {G3,W12,D2,L3,V4,M3} R(209,2) { coll( X, Y, X ), ! coll( X, Z, Y ), !
% 2.40/2.81 coll( X, Z, T ) }.
% 2.40/2.81 (281) {G4,W8,D2,L2,V3,M2} F(264) { coll( X, Y, X ), ! coll( X, Z, Y ) }.
% 2.40/2.81 (290) {G1,W10,D2,L2,V4,M2} R(7,6) { ! perp( X, Y, Z, T ), perp( Z, T, Y, X
% 2.40/2.81 ) }.
% 2.40/2.81 (299) {G1,W15,D2,L3,V6,M3} R(8,7) { ! perp( X, Y, Z, T ), para( X, Y, U, W
% 2.40/2.81 ), ! perp( U, W, Z, T ) }.
% 2.40/2.81 (307) {G2,W10,D2,L2,V4,M2} F(299) { ! perp( X, Y, Z, T ), para( X, Y, X, Y
% 2.40/2.81 ) }.
% 2.40/2.81 (312) {G4,W4,D2,L1,V0,M1} R(254,0) { coll( skol22, skol22, skol25 ) }.
% 2.40/2.81 (331) {G1,W4,D2,L1,V0,M1} R(10,117) { midp( skol27, skol25, skol20 ) }.
% 2.40/2.81 (362) {G1,W10,D2,L2,V4,M2} R(14,13) { ! cyclic( X, Y, Z, T ), cyclic( X, Z
% 2.40/2.81 , T, Y ) }.
% 2.40/2.81 (374) {G1,W10,D2,L2,V4,M2} R(15,14) { cyclic( X, Y, Z, T ), ! cyclic( Y, Z
% 2.40/2.81 , X, T ) }.
% 2.40/2.81 (377) {G1,W20,D2,L4,V5,M4} R(15,12) { cyclic( X, Y, Z, T ), ! cong( U, Y, U
% 2.40/2.81 , X ), ! cong( U, Y, U, Z ), ! cong( U, Y, U, T ) }.
% 2.40/2.81 (378) {G1,W5,D2,L1,V0,M1} R(15,123) { ! cyclic( skol20, skol24, skol22,
% 2.40/2.81 skol23 ) }.
% 2.40/2.81 (381) {G2,W15,D2,L3,V4,M3} F(377) { cyclic( X, Y, Z, Z ), ! cong( T, Y, T,
% 2.40/2.81 X ), ! cong( T, Y, T, Z ) }.
% 2.40/2.81 (382) {G3,W10,D2,L2,V3,M2} F(381) { cyclic( X, Y, X, X ), ! cong( Z, Y, Z,
% 2.40/2.81 X ) }.
% 2.40/2.81 (399) {G1,W15,D2,L3,V5,M3} R(16,13) { ! cyclic( X, Y, Z, T ), cyclic( Y, Z
% 2.40/2.81 , T, U ), ! cyclic( X, Y, U, Z ) }.
% 2.40/2.81 (432) {G1,W18,D2,L2,V8,M2} R(19,17) { ! eqangle( X, Y, Z, T, U, W, V0, V1 )
% 2.40/2.81 , eqangle( W, U, V0, V1, X, Y, Z, T ) }.
% 2.40/2.81 (444) {G1,W18,D2,L2,V8,M2} R(20,17) { eqangle( X, Y, Z, T, U, W, V0, V1 ),
% 2.40/2.81 ! eqangle( Y, X, U, W, Z, T, V0, V1 ) }.
% 2.40/2.81 (490) {G1,W10,D2,L2,V4,M2} R(23,22) { ! cong( X, Y, Z, T ), cong( Z, T, Y,
% 2.40/2.81 X ) }.
% 2.40/2.81 (508) {G1,W15,D2,L3,V6,M3} R(24,23) { ! cong( X, Y, Z, T ), cong( X, Y, U,
% 2.40/2.81 W ), ! cong( U, W, Z, T ) }.
% 2.40/2.81 (519) {G2,W10,D2,L2,V4,M2} F(508) { ! cong( X, Y, Z, T ), cong( X, Y, X, Y
% 2.40/2.81 ) }.
% 2.40/2.81 (544) {G2,W5,D2,L1,V0,M1} R(378,14) { ! cyclic( skol20, skol22, skol24,
% 2.40/2.81 skol23 ) }.
% 2.40/2.81 (548) {G3,W5,D2,L1,V0,M1} R(544,15) { ! cyclic( skol22, skol20, skol24,
% 2.40/2.81 skol23 ) }.
% 2.40/2.81 (554) {G4,W5,D2,L1,V0,M1} R(548,14) { ! cyclic( skol22, skol24, skol20,
% 2.40/2.81 skol23 ) }.
% 2.40/2.81 (558) {G5,W5,D2,L1,V0,M1} R(554,13) { ! cyclic( skol22, skol24, skol23,
% 2.40/2.81 skol20 ) }.
% 2.40/2.81 (559) {G6,W5,D2,L1,V0,M1} R(558,15) { ! cyclic( skol24, skol22, skol23,
% 2.40/2.81 skol20 ) }.
% 2.40/2.81 (562) {G7,W5,D2,L1,V0,M1} R(559,14) { ! cyclic( skol24, skol23, skol22,
% 2.40/2.81 skol20 ) }.
% 2.40/2.81 (567) {G8,W5,D2,L1,V0,M1} R(562,15) { ! cyclic( skol23, skol24, skol22,
% 2.40/2.81 skol20 ) }.
% 2.40/2.81 (570) {G9,W5,D2,L1,V0,M1} R(567,14) { ! cyclic( skol23, skol22, skol24,
% 2.40/2.81 skol20 ) }.
% 2.40/2.81 (574) {G10,W5,D2,L1,V0,M1} R(570,13) { ! cyclic( skol23, skol22, skol20,
% 2.40/2.81 skol24 ) }.
% 2.40/2.81 (576) {G11,W5,D2,L1,V0,M1} R(574,14) { ! cyclic( skol23, skol20, skol22,
% 2.40/2.81 skol24 ) }.
% 2.40/2.81 (591) {G12,W5,D2,L1,V0,M1} R(576,15) { ! cyclic( skol20, skol23, skol22,
% 2.40/2.81 skol24 ) }.
% 2.40/2.81 (593) {G13,W10,D2,L2,V1,M2} R(591,16) { ! cyclic( X, skol20, skol23, skol22
% 2.40/2.81 ), ! cyclic( X, skol20, skol23, skol24 ) }.
% 2.40/2.81 (619) {G5,W8,D2,L2,V3,M2} R(281,1) { ! coll( X, Y, Z ), coll( Z, X, X ) }.
% 2.40/2.81 (624) {G6,W8,D2,L2,V3,M2} R(619,1) { coll( X, Y, Y ), ! coll( Z, Y, X ) }.
% 2.40/2.81 (625) {G6,W8,D2,L2,V3,M2} R(619,0) { coll( X, Y, Y ), ! coll( Y, X, Z ) }.
% 2.40/2.81 (629) {G7,W8,D2,L2,V3,M2} R(625,625) { ! coll( X, Y, Z ), coll( X, Y, Y )
% 2.40/2.81 }.
% 2.40/2.81 (632) {G8,W12,D2,L3,V4,M3} R(629,2) { ! coll( X, Y, Z ), ! coll( X, Y, T )
% 2.40/2.81 , coll( T, Y, X ) }.
% 2.40/2.81 (633) {G9,W8,D2,L2,V3,M2} F(632) { ! coll( X, Y, Z ), coll( Z, Y, X ) }.
% 2.40/2.81 (637) {G10,W8,D2,L2,V3,M2} R(633,624) { coll( X, X, Y ), ! coll( Z, X, Y )
% 2.40/2.81 }.
% 2.40/2.81 (678) {G2,W8,D2,L2,V3,M2} R(69,169) { ! midp( X, Y, Z ), coll( Z, X, Y )
% 2.40/2.81 }.
% 2.40/2.81 (685) {G11,W8,D2,L2,V3,M2} R(69,637) { ! midp( X, Y, Z ), coll( Y, Y, Z )
% 2.40/2.81 }.
% 2.40/2.81 (707) {G1,W4,D2,L1,V0,M1} R(69,118) { coll( skol28, skol22, skol25 ) }.
% 2.40/2.81 (1256) {G2,W8,D2,L2,V1,M2} R(707,2) { ! coll( skol28, skol22, X ), coll(
% 2.40/2.81 skol25, X, skol28 ) }.
% 2.40/2.81 (1611) {G3,W8,D2,L2,V1,M2} R(1256,170) { coll( skol25, X, skol28 ), ! coll
% 2.40/2.81 ( X, skol28, skol22 ) }.
% 2.40/2.81 (2503) {G2,W5,D2,L1,V0,M1} R(68,331) { cong( skol27, skol25, skol27, skol20
% 2.40/2.81 ) }.
% 2.40/2.81 (2504) {G1,W5,D2,L1,V0,M1} R(68,117) { cong( skol27, skol20, skol27, skol25
% 2.40/2.81 ) }.
% 2.40/2.81 (2945) {G4,W8,D2,L2,V1,M2} R(1611,170) { ! coll( X, skol28, skol22 ), coll
% 2.40/2.81 ( X, skol28, skol25 ) }.
% 2.40/2.81 (2965) {G5,W12,D2,L3,V2,M3} R(2945,2) { ! coll( X, skol28, skol22 ), ! coll
% 2.40/2.81 ( X, skol28, Y ), coll( skol25, Y, X ) }.
% 2.40/2.81 (2970) {G6,W8,D2,L2,V1,M2} F(2965) { ! coll( X, skol28, skol22 ), coll(
% 2.40/2.81 skol25, skol22, X ) }.
% 2.40/2.81 (3658) {G7,W8,D2,L2,V1,M2} R(2970,678) { coll( skol25, skol22, X ), ! midp
% 2.40/2.81 ( skol28, skol22, X ) }.
% 2.40/2.81 (7081) {G3,W5,D2,L1,V0,M1} R(126,2503) { circle( skol27, skol25, skol20,
% 2.40/2.81 skol20 ) }.
% 2.40/2.81 (7374) {G2,W5,D2,L1,V0,M1} R(135,331) { para( skol27, skol27, skol20,
% 2.40/2.81 skol20 ) }.
% 2.40/2.81 (7400) {G3,W5,D2,L1,V0,M1} R(7374,4) { para( skol20, skol20, skol27, skol27
% 2.40/2.81 ) }.
% 2.40/2.81 (7404) {G4,W9,D2,L1,V2,M1} R(7400,39) { eqangle( skol20, skol20, X, Y,
% 2.40/2.81 skol27, skol27, X, Y ) }.
% 2.40/2.81 (7885) {G4,W7,D3,L1,V0,M1} R(7081,100) { perp( skol12( skol25, skol27 ),
% 2.40/2.81 skol25, skol25, skol27 ) }.
% 2.40/2.81 (7935) {G8,W14,D3,L3,V2,M3} R(146,3658);r(312) { ! midp( X, skol22, skol25
% 2.40/2.81 ), midp( skol7( skol22, Y ), skol22, Y ), ! midp( skol28, skol22, skol25
% 2.40/2.81 ) }.
% 2.40/2.81 (8057) {G9,W6,D3,L1,V1,M1} F(7935);r(118) { midp( skol7( skol22, X ),
% 2.40/2.81 skol22, X ) }.
% 2.40/2.81 (8275) {G12,W4,D2,L1,V1,M1} R(8057,685) { coll( skol22, skol22, X ) }.
% 2.40/2.81 (8288) {G10,W6,D3,L1,V1,M1} R(8057,10) { midp( skol7( skol22, X ), X,
% 2.40/2.81 skol22 ) }.
% 2.40/2.81 (8347) {G13,W4,D2,L1,V2,M1} R(8275,2);r(8275) { coll( Y, X, skol22 ) }.
% 2.40/2.81 (8401) {G14,W4,D2,L1,V2,M1} R(8347,170) { coll( X, skol22, Y ) }.
% 2.40/2.81 (8414) {G15,W4,D2,L1,V3,M1} R(8401,2);r(8401) { coll( Z, Y, X ) }.
% 2.40/2.81 (8601) {G5,W7,D3,L1,V0,M1} R(7885,7) { perp( skol25, skol27, skol12( skol25
% 2.40/2.81 , skol27 ), skol25 ) }.
% 2.40/2.81 (8610) {G6,W7,D3,L1,V0,M1} R(8601,6) { perp( skol25, skol27, skol25, skol12
% 2.40/2.81 ( skol25, skol27 ) ) }.
% 2.40/2.81 (8618) {G7,W7,D3,L1,V0,M1} R(8610,7) { perp( skol25, skol12( skol25, skol27
% 2.40/2.81 ), skol25, skol27 ) }.
% 2.40/2.81 (8627) {G8,W7,D3,L1,V0,M1} R(8618,6) { perp( skol25, skol12( skol25, skol27
% 2.40/2.81 ), skol27, skol25 ) }.
% 2.40/2.81 (8636) {G9,W7,D3,L1,V0,M1} R(8627,7) { perp( skol27, skol25, skol25, skol12
% 2.40/2.81 ( skol25, skol27 ) ) }.
% 2.40/2.81 (8638) {G16,W8,D3,L1,V2,M1} R(8636,110);r(8414) { perp( skol16( skol27, X,
% 2.40/2.81 Y ), skol27, X, Y ) }.
% 2.40/2.81 (8971) {G17,W8,D3,L1,V2,M1} R(290,8638) { perp( X, Y, skol27, skol16(
% 2.40/2.81 skol27, X, Y ) ) }.
% 2.40/2.81 (8996) {G18,W8,D3,L1,V3,M1} R(8971,110);r(8414) { perp( skol16( X, Y, Z ),
% 2.40/2.81 X, Y, Z ) }.
% 2.40/2.81 (9008) {G19,W8,D3,L1,V3,M1} R(8996,290) { perp( X, Y, Z, skol16( Z, X, Y )
% 2.40/2.81 ) }.
% 2.40/2.81 (9102) {G20,W8,D3,L1,V3,M1} R(9008,290) { perp( X, skol16( X, Y, Z ), Z, Y
% 2.40/2.81 ) }.
% 2.40/2.81 (9198) {G21,W8,D3,L1,V2,M1} R(9102,152) { perp( X, skol10( X, X, Y ), Y, X
% 2.40/2.81 ) }.
% 2.40/2.81 (9510) {G22,W8,D3,L1,V2,M1} R(9198,7) { perp( X, Y, Y, skol10( Y, Y, X ) )
% 2.40/2.81 }.
% 2.40/2.81 (9569) {G23,W5,D2,L1,V2,M1} R(307,9510) { para( X, Y, X, Y ) }.
% 2.40/2.81 (9573) {G24,W8,D2,L2,V3,M2} R(9569,140) { ! midp( X, Y, Y ), midp( X, Z, Z
% 2.40/2.81 ) }.
% 2.40/2.81 (9580) {G25,W6,D3,L1,V1,M1} R(9573,8288) { midp( skol7( skol22, skol22 ), X
% 2.40/2.81 , X ) }.
% 2.40/2.81 (12547) {G3,W5,D2,L1,V0,M1} R(519,2504) { cong( skol27, skol20, skol27,
% 2.40/2.81 skol20 ) }.
% 2.40/2.81 (12689) {G4,W5,D2,L1,V0,M1} R(12547,136) { perp( skol27, skol27, skol20,
% 2.40/2.81 skol20 ) }.
% 2.40/2.81 (12730) {G5,W5,D2,L1,V0,M1} R(12689,290) { perp( skol20, skol20, skol27,
% 2.40/2.81 skol27 ) }.
% 2.40/2.81 (13719) {G5,W9,D2,L1,V2,M1} R(7404,444) { eqangle( skol20, skol20, skol27,
% 2.40/2.81 skol27, X, Y, X, Y ) }.
% 2.40/2.81 (13725) {G6,W9,D2,L1,V2,M1} R(13719,432) { eqangle( X, Y, Y, X, skol20,
% 2.40/2.81 skol20, skol27, skol27 ) }.
% 2.40/2.81 (13731) {G7,W5,D2,L1,V2,M1} R(13725,73);r(12730) { perp( X, Y, Y, X ) }.
% 2.40/2.81 (13763) {G8,W9,D2,L2,V3,M2} R(13731,52) { ! midp( X, Y, Y ), cong( Y, X, Z
% 2.40/2.81 , X ) }.
% 2.40/2.81 (16593) {G25,W9,D2,L2,V4,M2} R(13763,9573) { cong( X, Y, Z, Y ), ! midp( Y
% 2.40/2.81 , T, T ) }.
% 2.40/2.81 (16612) {G26,W9,D2,L2,V4,M2} R(16593,490) { ! midp( X, Y, Y ), cong( Z, X,
% 2.40/2.81 X, T ) }.
% 2.40/2.81 (16656) {G27,W9,D2,L2,V4,M2} R(16612,490) { ! midp( X, Y, Y ), cong( X, Z,
% 2.40/2.81 X, T ) }.
% 2.40/2.81 (16711) {G28,W9,D2,L2,V4,M2} R(16656,382) { ! midp( X, Y, Y ), cyclic( Z, T
% 2.40/2.81 , Z, Z ) }.
% 2.40/2.81 (16735) {G29,W5,D2,L1,V2,M1} R(16711,9580) { cyclic( X, Y, X, X ) }.
% 2.40/2.81 (16738) {G30,W5,D2,L1,V2,M1} R(16735,374) { cyclic( X, X, Y, X ) }.
% 2.40/2.81 (16739) {G30,W5,D2,L1,V2,M1} R(16735,362) { cyclic( X, X, X, Y ) }.
% 2.40/2.81 (16744) {G31,W5,D2,L1,V3,M1} R(16738,399);r(16739) { cyclic( X, X, Y, Z )
% 2.40/2.81 }.
% 2.40/2.81 (16761) {G32,W0,D0,L0,V0,M0} R(16744,593);r(16744) { }.
% 2.40/2.81
% 2.40/2.81
% 2.40/2.81 % SZS output end Refutation
% 2.40/2.81 found a proof!
% 2.40/2.81
% 2.40/2.81
% 2.40/2.81 Unprocessed initial clauses:
% 2.40/2.81
% 2.40/2.81 (16763) {G0,W8,D2,L2,V3,M2} { ! coll( X, Y, Z ), coll( X, Z, Y ) }.
% 2.40/2.81 (16764) {G0,W8,D2,L2,V3,M2} { ! coll( X, Y, Z ), coll( Y, X, Z ) }.
% 2.40/2.81 (16765) {G0,W12,D2,L3,V4,M3} { ! coll( X, T, Y ), ! coll( X, T, Z ), coll
% 2.40/2.81 ( Y, Z, X ) }.
% 2.40/2.81 (16766) {G0,W10,D2,L2,V4,M2} { ! para( X, Y, Z, T ), para( X, Y, T, Z )
% 2.40/2.81 }.
% 2.40/2.81 (16767) {G0,W10,D2,L2,V4,M2} { ! para( X, Y, Z, T ), para( Z, T, X, Y )
% 2.40/2.81 }.
% 2.40/2.81 (16768) {G0,W15,D2,L3,V6,M3} { ! para( X, Y, U, W ), ! para( U, W, Z, T )
% 2.40/2.81 , para( X, Y, Z, T ) }.
% 2.40/2.81 (16769) {G0,W10,D2,L2,V4,M2} { ! perp( X, Y, Z, T ), perp( X, Y, T, Z )
% 2.40/2.81 }.
% 2.40/2.81 (16770) {G0,W10,D2,L2,V4,M2} { ! perp( X, Y, Z, T ), perp( Z, T, X, Y )
% 2.40/2.81 }.
% 2.40/2.81 (16771) {G0,W15,D2,L3,V6,M3} { ! perp( X, Y, U, W ), ! perp( U, W, Z, T )
% 2.40/2.81 , para( X, Y, Z, T ) }.
% 2.40/2.81 (16772) {G0,W15,D2,L3,V6,M3} { ! para( X, Y, U, W ), ! perp( U, W, Z, T )
% 2.40/2.81 , perp( X, Y, Z, T ) }.
% 2.40/2.81 (16773) {G0,W8,D2,L2,V3,M2} { ! midp( Z, Y, X ), midp( Z, X, Y ) }.
% 2.40/2.81 (16774) {G0,W15,D2,L3,V4,M3} { ! cong( T, X, T, Y ), ! cong( T, X, T, Z )
% 2.40/2.81 , circle( T, X, Y, Z ) }.
% 2.40/2.81 (16775) {G0,W20,D2,L4,V5,M4} { ! cong( U, X, U, Y ), ! cong( U, X, U, Z )
% 2.40/2.81 , ! cong( U, X, U, T ), cyclic( X, Y, Z, T ) }.
% 2.40/2.81 (16776) {G0,W10,D2,L2,V4,M2} { ! cyclic( X, Y, Z, T ), cyclic( X, Y, T, Z
% 2.40/2.81 ) }.
% 2.40/2.81 (16777) {G0,W10,D2,L2,V4,M2} { ! cyclic( X, Y, Z, T ), cyclic( X, Z, Y, T
% 2.40/2.81 ) }.
% 2.40/2.81 (16778) {G0,W10,D2,L2,V4,M2} { ! cyclic( X, Y, Z, T ), cyclic( Y, X, Z, T
% 2.40/2.81 ) }.
% 2.40/2.81 (16779) {G0,W15,D2,L3,V5,M3} { ! cyclic( U, X, Y, Z ), ! cyclic( U, X, Y,
% 2.40/2.81 T ), cyclic( X, Y, Z, T ) }.
% 2.40/2.81 (16780) {G0,W18,D2,L2,V8,M2} { ! eqangle( X, Y, Z, T, U, W, V0, V1 ),
% 2.40/2.81 eqangle( Y, X, Z, T, U, W, V0, V1 ) }.
% 2.40/2.81 (16781) {G0,W18,D2,L2,V8,M2} { ! eqangle( X, Y, Z, T, U, W, V0, V1 ),
% 2.40/2.81 eqangle( Z, T, X, Y, V0, V1, U, W ) }.
% 2.40/2.81 (16782) {G0,W18,D2,L2,V8,M2} { ! eqangle( X, Y, Z, T, U, W, V0, V1 ),
% 2.40/2.81 eqangle( U, W, V0, V1, X, Y, Z, T ) }.
% 2.40/2.81 (16783) {G0,W18,D2,L2,V8,M2} { ! eqangle( X, Y, Z, T, U, W, V0, V1 ),
% 2.40/2.81 eqangle( X, Y, U, W, Z, T, V0, V1 ) }.
% 2.40/2.81 (16784) {G0,W27,D2,L3,V12,M3} { ! eqangle( X, Y, Z, T, V2, V3, V4, V5 ), !
% 2.40/2.81 eqangle( V2, V3, V4, V5, U, W, V0, V1 ), eqangle( X, Y, Z, T, U, W, V0,
% 2.40/2.81 V1 ) }.
% 2.40/2.81 (16785) {G0,W10,D2,L2,V4,M2} { ! cong( X, Y, Z, T ), cong( X, Y, T, Z )
% 2.40/2.81 }.
% 2.40/2.81 (16786) {G0,W10,D2,L2,V4,M2} { ! cong( X, Y, Z, T ), cong( Z, T, X, Y )
% 2.40/2.81 }.
% 2.40/2.81 (16787) {G0,W15,D2,L3,V6,M3} { ! cong( X, Y, U, W ), ! cong( U, W, Z, T )
% 2.40/2.81 , cong( X, Y, Z, T ) }.
% 2.40/2.81 (16788) {G0,W18,D2,L2,V8,M2} { ! eqratio( X, Y, Z, T, U, W, V0, V1 ),
% 2.40/2.81 eqratio( Y, X, Z, T, U, W, V0, V1 ) }.
% 2.40/2.81 (16789) {G0,W18,D2,L2,V8,M2} { ! eqratio( X, Y, Z, T, U, W, V0, V1 ),
% 2.40/2.81 eqratio( Z, T, X, Y, V0, V1, U, W ) }.
% 2.40/2.81 (16790) {G0,W18,D2,L2,V8,M2} { ! eqratio( X, Y, Z, T, U, W, V0, V1 ),
% 2.40/2.81 eqratio( U, W, V0, V1, X, Y, Z, T ) }.
% 2.40/2.81 (16791) {G0,W18,D2,L2,V8,M2} { ! eqratio( X, Y, Z, T, U, W, V0, V1 ),
% 2.40/2.81 eqratio( X, Y, U, W, Z, T, V0, V1 ) }.
% 2.40/2.81 (16792) {G0,W27,D2,L3,V12,M3} { ! eqratio( X, Y, Z, T, V2, V3, V4, V5 ), !
% 2.40/2.81 eqratio( V2, V3, V4, V5, U, W, V0, V1 ), eqratio( X, Y, Z, T, U, W, V0,
% 2.40/2.81 V1 ) }.
% 2.40/2.81 (16793) {G0,W14,D2,L2,V6,M2} { ! simtri( X, Z, Y, T, W, U ), simtri( X, Y
% 2.40/2.81 , Z, T, U, W ) }.
% 2.40/2.81 (16794) {G0,W14,D2,L2,V6,M2} { ! simtri( Y, X, Z, U, T, W ), simtri( X, Y
% 2.40/2.81 , Z, T, U, W ) }.
% 2.40/2.81 (16795) {G0,W14,D2,L2,V6,M2} { ! simtri( T, U, W, X, Y, Z ), simtri( X, Y
% 2.40/2.81 , Z, T, U, W ) }.
% 2.40/2.81 (16796) {G0,W21,D2,L3,V9,M3} { ! simtri( X, Y, Z, V0, V1, V2 ), ! simtri(
% 2.40/2.81 V0, V1, V2, T, U, W ), simtri( X, Y, Z, T, U, W ) }.
% 2.40/2.81 (16797) {G0,W14,D2,L2,V6,M2} { ! contri( X, Z, Y, T, W, U ), contri( X, Y
% 2.40/2.81 , Z, T, U, W ) }.
% 2.40/2.81 (16798) {G0,W14,D2,L2,V6,M2} { ! contri( Y, X, Z, U, T, W ), contri( X, Y
% 2.40/2.81 , Z, T, U, W ) }.
% 2.40/2.81 (16799) {G0,W14,D2,L2,V6,M2} { ! contri( T, U, W, X, Y, Z ), contri( X, Y
% 2.40/2.81 , Z, T, U, W ) }.
% 2.40/2.81 (16800) {G0,W21,D2,L3,V9,M3} { ! contri( X, Y, Z, V0, V1, V2 ), ! contri(
% 2.40/2.81 V0, V1, V2, T, U, W ), contri( X, Y, Z, T, U, W ) }.
% 2.40/2.81 (16801) {G0,W14,D2,L2,V6,M2} { ! eqangle( X, Y, U, W, Z, T, U, W ), para(
% 2.40/2.81 X, Y, Z, T ) }.
% 2.40/2.81 (16802) {G0,W14,D2,L2,V6,M2} { ! para( X, Y, Z, T ), eqangle( X, Y, U, W,
% 2.40/2.81 Z, T, U, W ) }.
% 2.40/2.81 (16803) {G0,W14,D2,L2,V4,M2} { ! cyclic( X, Y, Z, T ), eqangle( Z, X, Z, Y
% 2.40/2.81 , T, X, T, Y ) }.
% 2.40/2.81 (16804) {G0,W18,D2,L3,V4,M3} { ! eqangle( Z, X, Z, Y, T, X, T, Y ), coll(
% 2.40/2.81 Z, T, X ), cyclic( X, Y, Z, T ) }.
% 2.40/2.81 (16805) {G0,W18,D2,L3,V4,M3} { ! eqangle( Z, X, Z, Y, T, X, T, Y ), ! coll
% 2.40/2.81 ( Z, T, Y ), cyclic( X, Y, Z, T ) }.
% 2.40/2.81 (16806) {G0,W29,D2,L5,V6,M5} { ! cyclic( X, Y, U, Z ), ! cyclic( X, Y, U,
% 2.40/2.81 T ), ! cyclic( X, Y, U, W ), ! eqangle( U, X, U, Y, W, Z, W, T ), cong( X
% 2.40/2.81 , Y, Z, T ) }.
% 2.40/2.81 (16807) {G0,W13,D2,L3,V5,M3} { ! midp( Z, U, X ), ! midp( T, U, Y ), para
% 2.40/2.81 ( Z, T, X, Y ) }.
% 2.40/2.81 (16808) {G0,W17,D2,L4,V5,M4} { ! midp( U, X, T ), ! para( U, Z, T, Y ), !
% 2.40/2.81 coll( Z, X, Y ), midp( Z, X, Y ) }.
% 2.40/2.81 (16809) {G0,W14,D2,L2,V3,M2} { ! cong( Z, X, Z, Y ), eqangle( Z, X, X, Y,
% 2.40/2.81 X, Y, Z, Y ) }.
% 2.40/2.81 (16810) {G0,W18,D2,L3,V3,M3} { ! eqangle( Z, X, X, Y, X, Y, Z, Y ), coll(
% 2.40/2.81 Z, X, Y ), cong( Z, X, Z, Y ) }.
% 2.40/2.81 (16811) {G0,W19,D2,L3,V5,M3} { ! circle( U, X, Y, Z ), ! perp( U, X, X, T
% 2.40/2.81 ), eqangle( X, T, X, Y, Z, X, Z, Y ) }.
% 2.40/2.81 (16812) {G0,W19,D2,L3,V5,M3} { ! circle( Y, X, T, U ), ! eqangle( X, Z, X
% 2.40/2.81 , T, U, X, U, T ), perp( Y, X, X, Z ) }.
% 2.40/2.81 (16813) {G0,W18,D2,L3,V5,M3} { ! circle( T, X, Y, Z ), ! midp( U, Y, Z ),
% 2.40/2.81 eqangle( X, Y, X, Z, T, Y, T, U ) }.
% 2.40/2.81 (16814) {G0,W22,D2,L4,V5,M4} { ! circle( U, T, X, Y ), ! coll( Z, X, Y ),
% 2.40/2.81 ! eqangle( T, X, T, Y, U, X, U, Z ), midp( Z, X, Y ) }.
% 2.40/2.81 (16815) {G0,W14,D2,L3,V4,M3} { ! perp( X, Y, Y, T ), ! midp( Z, X, T ),
% 2.40/2.81 cong( X, Z, Y, Z ) }.
% 2.40/2.81 (16816) {G0,W14,D2,L3,V4,M3} { ! circle( T, X, Y, Z ), ! coll( T, X, Z ),
% 2.40/2.81 perp( X, Y, Y, Z ) }.
% 2.40/2.81 (16817) {G0,W19,D2,L3,V4,M3} { ! cyclic( X, Y, Z, T ), ! para( X, Y, Z, T
% 2.40/2.81 ), eqangle( X, T, Z, T, Z, T, Z, Y ) }.
% 2.40/2.81 (16818) {G0,W14,D2,L3,V4,M3} { ! midp( T, X, Y ), ! perp( Z, T, X, Y ),
% 2.40/2.81 cong( Z, X, Z, Y ) }.
% 2.40/2.81 (16819) {G0,W15,D2,L3,V4,M3} { ! cong( X, Z, Y, Z ), ! cong( X, T, Y, T )
% 2.40/2.81 , perp( X, Y, Z, T ) }.
% 2.40/2.81 (16820) {G0,W20,D2,L4,V4,M4} { ! cong( X, Y, T, Y ), ! cong( X, Z, T, Z )
% 2.40/2.81 , ! cyclic( X, T, Y, Z ), perp( Y, X, X, Z ) }.
% 2.40/2.81 (16821) {G0,W29,D2,L4,V6,M4} { ! eqangle( X, Y, Y, Z, T, U, U, W ), !
% 2.40/2.81 eqangle( X, Z, Y, Z, T, W, U, W ), coll( X, Y, Z ), simtri( X, Y, Z, T, U
% 2.40/2.81 , W ) }.
% 2.40/2.81 (16822) {G0,W16,D2,L2,V6,M2} { ! simtri( X, Y, Z, T, U, W ), eqratio( X, Y
% 2.40/2.81 , X, Z, T, U, T, W ) }.
% 2.40/2.81 (16823) {G0,W16,D2,L2,V6,M2} { ! simtri( X, Y, Z, T, U, W ), eqangle( X, Y
% 2.40/2.81 , Y, Z, T, U, U, W ) }.
% 2.40/2.81 (16824) {G0,W19,D2,L3,V6,M3} { ! simtri( X, Y, Z, T, U, W ), ! cong( X, Y
% 2.40/2.81 , T, U ), contri( X, Y, Z, T, U, W ) }.
% 2.40/2.81 (16825) {G0,W12,D2,L2,V6,M2} { ! contri( X, Y, U, Z, T, W ), cong( X, Y, Z
% 2.40/2.81 , T ) }.
% 2.40/2.81 (16826) {G0,W13,D2,L3,V5,M3} { ! midp( U, X, Y ), ! midp( U, Z, T ), para
% 2.40/2.81 ( X, Z, Y, T ) }.
% 2.40/2.81 (16827) {G0,W18,D2,L4,V5,M4} { ! midp( Z, T, U ), ! para( T, X, U, Y ), !
% 2.40/2.81 para( T, Y, U, X ), midp( Z, X, Y ) }.
% 2.40/2.81 (16828) {G0,W22,D2,L4,V5,M4} { ! para( X, Y, Z, T ), ! coll( U, X, Z ), !
% 2.40/2.81 coll( U, Y, T ), eqratio( U, X, X, Z, U, Y, Y, T ) }.
% 2.40/2.81 (16829) {G0,W9,D2,L2,V3,M2} { ! para( X, Y, X, Z ), coll( X, Y, Z ) }.
% 2.40/2.81 (16830) {G0,W13,D2,L3,V3,M3} { ! cong( X, Y, X, Z ), ! coll( X, Y, Z ),
% 2.40/2.81 midp( X, Y, Z ) }.
% 2.40/2.81 (16831) {G0,W9,D2,L2,V3,M2} { ! midp( X, Y, Z ), cong( X, Y, X, Z ) }.
% 2.40/2.81 (16832) {G0,W8,D2,L2,V3,M2} { ! midp( X, Y, Z ), coll( X, Y, Z ) }.
% 2.40/2.81 (16833) {G0,W17,D2,L3,V6,M3} { ! midp( U, X, Y ), ! midp( W, Z, T ),
% 2.40/2.81 eqratio( U, X, X, Y, W, Z, Z, T ) }.
% 2.40/2.81 (16834) {G0,W19,D2,L3,V4,M3} { ! eqangle( X, Y, Z, T, Z, T, X, Y ), para(
% 2.40/2.81 X, Y, Z, T ), perp( X, Y, Z, T ) }.
% 2.40/2.81 (16835) {G0,W19,D2,L3,V4,M3} { ! eqangle( X, Y, Z, T, Z, T, X, Y ), perp(
% 2.40/2.81 X, Y, Z, T ), para( X, Y, Z, T ) }.
% 2.40/2.81 (16836) {G0,W19,D2,L3,V8,M3} { ! eqangle( X, Y, Z, T, U, W, V0, V1 ), !
% 2.40/2.81 para( U, W, V0, V1 ), para( X, Y, Z, T ) }.
% 2.40/2.81 (16837) {G0,W19,D2,L3,V8,M3} { ! eqangle( X, Y, Z, T, U, W, V0, V1 ), !
% 2.40/2.81 perp( U, W, V0, V1 ), perp( X, Y, Z, T ) }.
% 2.40/2.81 (16838) {G0,W19,D2,L3,V8,M3} { ! eqratio( X, Y, Z, T, U, W, V0, V1 ), !
% 2.40/2.81 cong( U, W, V0, V1 ), cong( X, Y, Z, T ) }.
% 2.40/2.81 (16839) {G0,W22,D3,L3,V6,M3} { ! perp( Z, Y, Y, X ), ! eqangle( T, Z, Y, Z
% 2.40/2.81 , Y, Z, X, Z ), coll( skol1( U, W, Z, T ), Z, T ) }.
% 2.40/2.81 (16840) {G0,W22,D3,L3,V4,M3} { ! perp( Z, Y, Y, X ), ! eqangle( T, Z, Y, Z
% 2.40/2.81 , Y, Z, X, Z ), coll( skol1( X, Y, Z, T ), X, Y ) }.
% 2.40/2.81 (16841) {G0,W22,D3,L3,V6,M3} { ! cong( Z, X, Z, Y ), ! eqangle( X, Z, Z, T
% 2.40/2.81 , Z, T, Z, Y ), coll( skol2( U, W, Z, T ), Z, T ) }.
% 2.40/2.81 (16842) {G0,W22,D3,L3,V4,M3} { ! cong( Z, X, Z, Y ), ! eqangle( X, Z, Z, T
% 2.40/2.81 , Z, T, Z, Y ), coll( Y, X, skol2( X, Y, Z, T ) ) }.
% 2.40/2.81 (16843) {G0,W22,D3,L3,V6,M3} { ! perp( Z, T, X, Y ), ! eqangle( X, Z, Z, T
% 2.40/2.81 , Z, T, Z, Y ), coll( skol3( U, W, Z, T ), Z, T ) }.
% 2.40/2.81 (16844) {G0,W22,D3,L3,V4,M3} { ! perp( Z, T, X, Y ), ! eqangle( X, Z, Z, T
% 2.40/2.81 , Z, T, Z, Y ), coll( Y, X, skol3( X, Y, Z, T ) ) }.
% 2.40/2.81 (16845) {G0,W18,D3,L3,V6,M3} { ! perp( Z, T, X, Y ), ! cong( Z, X, Z, Y )
% 2.40/2.81 , coll( skol4( U, W, Z, T ), Z, T ) }.
% 2.40/2.81 (16846) {G0,W18,D3,L3,V4,M3} { ! perp( Z, T, X, Y ), ! cong( Z, X, Z, Y )
% 2.40/2.81 , coll( Y, X, skol4( X, Y, Z, T ) ) }.
% 2.40/2.81 (16847) {G0,W22,D3,L3,V6,M3} { ! eqangle( X, Z, Y, Z, X, T, Y, U ), coll(
% 2.40/2.81 X, Y, Z ), cyclic( T, Y, Z, skol5( W, Y, Z, T ) ) }.
% 2.40/2.81 (16848) {G0,W30,D3,L3,V5,M3} { ! eqangle( X, Z, Y, Z, X, T, Y, U ), coll(
% 2.40/2.81 X, Y, Z ), eqangle( X, Z, Y, Z, X, skol5( X, Y, Z, T ), Y, skol5( X, Y, Z
% 2.40/2.81 , T ) ) }.
% 2.40/2.81 (16849) {G0,W18,D3,L3,V10,M3} { ! midp( U, X, Y ), ! midp( W, Z, T ), midp
% 2.40/2.81 ( skol6( X, V0, V1, T, V2, V3 ), X, T ) }.
% 2.40/2.81 (16850) {G0,W19,D3,L3,V8,M3} { ! midp( U, X, Y ), ! midp( W, Z, T ), para
% 2.40/2.81 ( skol6( X, V0, Z, T, V1, W ), W, X, Z ) }.
% 2.40/2.81 (16851) {G0,W19,D3,L3,V6,M3} { ! midp( U, X, Y ), ! midp( W, Z, T ), para
% 2.40/2.81 ( skol6( X, Y, Z, T, U, W ), U, Y, T ) }.
% 2.40/2.81 (16852) {G0,W22,D3,L5,V7,M5} { ! midp( Z, X, Y ), ! midp( W, T, U ), !
% 2.40/2.81 coll( T, X, Y ), ! coll( U, X, Y ), midp( skol7( X, V0 ), X, V0 ) }.
% 2.40/2.81 (16853) {G0,W26,D3,L5,V8,M5} { ! midp( T, X, U ), ! para( X, W, Z, T ), !
% 2.40/2.81 para( X, W, U, Y ), ! coll( W, Y, Z ), coll( skol8( V0, V1, Z, T ), T, Z
% 2.40/2.81 ) }.
% 2.40/2.81 (16854) {G0,W26,D3,L5,V6,M5} { ! midp( T, X, U ), ! para( X, W, Z, T ), !
% 2.40/2.81 para( X, W, U, Y ), ! coll( W, Y, Z ), coll( skol8( X, Y, Z, T ), X, Y )
% 2.40/2.81 }.
% 2.40/2.81 (16855) {G0,W19,D3,L3,V7,M3} { ! cong( T, Z, T, U ), ! perp( X, Y, Y, T )
% 2.40/2.81 , cong( T, Z, T, skol9( W, V0, Z, T ) ) }.
% 2.40/2.81 (16856) {G0,W19,D3,L3,V6,M3} { ! cong( T, Z, T, U ), ! perp( X, Y, Y, T )
% 2.40/2.81 , cong( Y, Z, Y, skol9( W, Y, Z, T ) ) }.
% 2.40/2.81 (16857) {G0,W19,D3,L3,V5,M3} { ! cong( T, Z, T, U ), ! perp( X, Y, Y, T )
% 2.40/2.81 , para( skol9( X, Y, Z, T ), Z, X, Y ) }.
% 2.40/2.81 (16858) {G0,W17,D3,L3,V5,M3} { ! perp( X, T, Y, Z ), ! perp( Y, T, X, Z )
% 2.40/2.81 , coll( skol10( U, Y, Z ), Z, Y ) }.
% 2.40/2.81 (16859) {G0,W18,D3,L3,V4,M3} { ! perp( X, T, Y, Z ), ! perp( Y, T, X, Z )
% 2.40/2.81 , perp( X, skol10( X, Y, Z ), Z, Y ) }.
% 2.40/2.81 (16860) {G0,W14,D2,L3,V4,M3} { ! perp( X, T, Y, Z ), ! perp( Y, T, X, Z )
% 2.40/2.81 , alpha1( X, Y, Z ) }.
% 2.40/2.81 (16861) {G0,W11,D3,L2,V4,M2} { ! alpha1( X, Y, Z ), coll( skol11( X, T, Z
% 2.40/2.81 ), Z, X ) }.
% 2.40/2.81 (16862) {G0,W12,D3,L2,V3,M2} { ! alpha1( X, Y, Z ), perp( Y, skol11( X, Y
% 2.40/2.81 , Z ), Z, X ) }.
% 2.40/2.81 (16863) {G0,W13,D2,L3,V4,M3} { ! coll( T, Z, X ), ! perp( Y, T, Z, X ),
% 2.40/2.81 alpha1( X, Y, Z ) }.
% 2.40/2.81 (16864) {G0,W12,D3,L2,V4,M2} { ! circle( Y, X, Z, T ), perp( skol12( X, Y
% 2.40/2.81 ), X, X, Y ) }.
% 2.40/2.81 (16865) {G0,W28,D3,L5,V8,M5} { ! circle( W, X, Y, Z ), ! cong( W, X, W, T
% 2.40/2.81 ), ! cong( U, X, U, Y ), W = U, alpha2( X, Z, U, skol13( X, V0, Z, V1, U
% 2.40/2.81 ) ) }.
% 2.40/2.81 (16866) {G0,W26,D3,L5,V8,M5} { ! circle( W, X, Y, Z ), ! cong( W, X, W, T
% 2.40/2.81 ), ! cong( U, X, U, Y ), W = U, coll( skol21( V0, Y, T, V1 ), Y, T ) }.
% 2.40/2.81 (16867) {G0,W27,D3,L5,V6,M5} { ! circle( W, X, Y, Z ), ! cong( W, X, W, T
% 2.40/2.81 ), ! cong( U, X, U, Y ), W = U, cong( skol21( X, Y, T, U ), U, U, X )
% 2.40/2.81 }.
% 2.40/2.81 (16868) {G0,W9,D2,L2,V4,M2} { ! alpha2( X, Y, Z, T ), coll( T, X, Y ) }.
% 2.40/2.81 (16869) {G0,W10,D2,L2,V4,M2} { ! alpha2( X, Y, Z, T ), cong( T, Z, Z, X )
% 2.40/2.81 }.
% 2.40/2.81 (16870) {G0,W14,D2,L3,V4,M3} { ! coll( T, X, Y ), ! cong( T, Z, Z, X ),
% 2.40/2.81 alpha2( X, Y, Z, T ) }.
% 2.40/2.81 (16871) {G0,W22,D3,L4,V5,M4} { ! cyclic( X, Y, Z, T ), ! para( X, Y, Z, T
% 2.40/2.81 ), ! midp( U, X, Y ), circle( skol14( X, Y, Z ), X, Y, Z ) }.
% 2.40/2.81 (16872) {G0,W18,D3,L3,V4,M3} { ! perp( X, Z, Z, Y ), ! cyclic( X, Y, Z, T
% 2.40/2.81 ), circle( skol15( X, Y, Z ), X, Y, Z ) }.
% 2.40/2.81 (16873) {G0,W16,D3,L3,V6,M3} { ! perp( X, U, U, T ), ! coll( T, Y, Z ),
% 2.40/2.81 coll( skol16( W, Y, Z ), Y, Z ) }.
% 2.40/2.81 (16874) {G0,W17,D3,L3,V5,M3} { ! perp( X, U, U, T ), ! coll( T, Y, Z ),
% 2.40/2.81 perp( skol16( X, Y, Z ), X, Y, Z ) }.
% 2.40/2.81 (16875) {G0,W20,D3,L4,V5,M4} { ! perp( X, Z, X, Y ), ! perp( Y, X, Y, T )
% 2.40/2.81 , ! midp( U, Z, T ), midp( skol17( X, Y ), X, Y ) }.
% 2.40/2.81 (16876) {G0,W16,D3,L3,V3,M3} { ! cong( Y, X, Y, Z ), ! perp( X, Y, Y, Z )
% 2.40/2.81 , coll( X, Y, skol18( X, Y ) ) }.
% 2.40/2.81 (16877) {G0,W17,D3,L3,V3,M3} { ! cong( Y, X, Y, Z ), ! perp( X, Y, Y, Z )
% 2.40/2.81 , cong( Y, X, Y, skol18( X, Y ) ) }.
% 2.40/2.81 (16878) {G0,W25,D3,L5,V8,M5} { ! para( U, W, X, Y ), ! coll( Z, U, X ), !
% 2.40/2.81 coll( Z, W, Y ), ! coll( T, U, W ), coll( Z, T, skol19( V0, V1, Z, T ) )
% 2.40/2.81 }.
% 2.40/2.81 (16879) {G0,W25,D3,L5,V6,M5} { ! para( U, W, X, Y ), ! coll( Z, U, X ), !
% 2.40/2.81 coll( Z, W, Y ), ! coll( T, U, W ), coll( skol19( X, Y, Z, T ), X, Y )
% 2.40/2.81 }.
% 2.40/2.81 (16880) {G0,W5,D2,L1,V0,M1} { circle( skol26, skol25, skol20, skol22 ) }.
% 2.40/2.81 (16881) {G0,W4,D2,L1,V0,M1} { midp( skol27, skol20, skol25 ) }.
% 2.40/2.81 (16882) {G0,W4,D2,L1,V0,M1} { midp( skol28, skol22, skol25 ) }.
% 2.40/2.81 (16883) {G0,W4,D2,L1,V0,M1} { coll( skol23, skol26, skol27 ) }.
% 2.40/2.81 (16884) {G0,W4,D2,L1,V0,M1} { coll( skol23, skol25, skol22 ) }.
% 2.40/2.81 (16885) {G0,W4,D2,L1,V0,M1} { coll( skol24, skol26, skol28 ) }.
% 2.40/2.81 (16886) {G0,W4,D2,L1,V0,M1} { coll( skol24, skol25, skol20 ) }.
% 2.40/2.81 (16887) {G0,W5,D2,L1,V0,M1} { ! cyclic( skol24, skol20, skol22, skol23 )
% 2.40/2.81 }.
% 2.40/2.81
% 2.40/2.81
% 2.40/2.81 Total Proof:
% 2.40/2.81
% 2.40/2.81 subsumption: (0) {G0,W8,D2,L2,V3,M2} I { ! coll( X, Y, Z ), coll( X, Z, Y )
% 2.40/2.81 }.
% 2.40/2.81 parent0: (16763) {G0,W8,D2,L2,V3,M2} { ! coll( X, Y, Z ), coll( X, Z, Y )
% 2.40/2.81 }.
% 2.40/2.81 substitution0:
% 2.40/2.81 X := X
% 2.40/2.81 Y := Y
% 2.40/2.81 Z := Z
% 2.40/2.81 end
% 2.40/2.81 permutation0:
% 2.40/2.81 0 ==> 0
% 2.40/2.81 1 ==> 1
% 2.40/2.81 end
% 2.40/2.81
% 2.40/2.81 subsumption: (1) {G0,W8,D2,L2,V3,M2} I { ! coll( X, Y, Z ), coll( Y, X, Z )
% 2.40/2.81 }.
% 2.40/2.81 parent0: (16764) {G0,W8,D2,L2,V3,M2} { ! coll( X, Y, Z ), coll( Y, X, Z )
% 2.40/2.81 }.
% 2.40/2.81 substitution0:
% 2.40/2.81 X := X
% 2.40/2.81 Y := Y
% 2.40/2.81 Z := Z
% 2.40/2.81 end
% 2.40/2.81 permutation0:
% 2.40/2.81 0 ==> 0
% 2.40/2.81 1 ==> 1
% 2.40/2.81 end
% 2.40/2.81
% 2.40/2.81 subsumption: (2) {G0,W12,D2,L3,V4,M3} I { ! coll( X, T, Y ), ! coll( X, T,
% 2.40/2.81 Z ), coll( Y, Z, X ) }.
% 2.40/2.81 parent0: (16765) {G0,W12,D2,L3,V4,M3} { ! coll( X, T, Y ), ! coll( X, T, Z
% 2.40/2.81 ), coll( Y, Z, X ) }.
% 2.40/2.81 substitution0:
% 2.40/2.81 X := X
% 2.40/2.81 Y := Y
% 2.40/2.81 Z := Z
% 2.40/2.81 T := T
% 2.40/2.81 end
% 2.40/2.81 permutation0:
% 2.40/2.81 0 ==> 0
% 2.40/2.81 1 ==> 1
% 2.40/2.81 2 ==> 2
% 2.40/2.81 end
% 2.40/2.81
% 2.40/2.81 subsumption: (4) {G0,W10,D2,L2,V4,M2} I { ! para( X, Y, Z, T ), para( Z, T
% 2.40/2.81 , X, Y ) }.
% 2.40/2.81 parent0: (16767) {G0,W10,D2,L2,V4,M2} { ! para( X, Y, Z, T ), para( Z, T,
% 2.40/2.81 X, Y ) }.
% 2.40/2.81 substitution0:
% 2.40/2.81 X := X
% 2.40/2.81 Y := Y
% 2.40/2.81 Z := Z
% 2.40/2.81 T := T
% 2.40/2.81 end
% 2.40/2.81 permutation0:
% 2.40/2.81 0 ==> 0
% 2.40/2.81 1 ==> 1
% 2.40/2.81 end
% 2.40/2.81
% 2.40/2.81 subsumption: (6) {G0,W10,D2,L2,V4,M2} I { ! perp( X, Y, Z, T ), perp( X, Y
% 2.40/2.81 , T, Z ) }.
% 2.40/2.81 parent0: (16769) {G0,W10,D2,L2,V4,M2} { ! perp( X, Y, Z, T ), perp( X, Y,
% 2.40/2.81 T, Z ) }.
% 2.40/2.81 substitution0:
% 2.40/2.81 X := X
% 2.40/2.81 Y := Y
% 2.40/2.81 Z := Z
% 2.40/2.81 T := T
% 2.40/2.81 end
% 2.40/2.81 permutation0:
% 2.40/2.81 0 ==> 0
% 2.40/2.81 1 ==> 1
% 2.40/2.81 end
% 2.40/2.81
% 2.40/2.81 subsumption: (7) {G0,W10,D2,L2,V4,M2} I { ! perp( X, Y, Z, T ), perp( Z, T
% 2.40/2.81 , X, Y ) }.
% 2.40/2.81 parent0: (16770) {G0,W10,D2,L2,V4,M2} { ! perp( X, Y, Z, T ), perp( Z, T,
% 2.40/2.81 X, Y ) }.
% 2.40/2.81 substitution0:
% 2.40/2.81 X := X
% 2.40/2.81 Y := Y
% 2.40/2.81 Z := Z
% 2.40/2.81 T := T
% 2.40/2.81 end
% 2.40/2.81 permutation0:
% 2.40/2.81 0 ==> 0
% 2.40/2.81 1 ==> 1
% 2.40/2.81 end
% 2.40/2.81
% 2.40/2.81 subsumption: (8) {G0,W15,D2,L3,V6,M3} I { ! perp( X, Y, U, W ), ! perp( U,
% 2.40/2.81 W, Z, T ), para( X, Y, Z, T ) }.
% 2.40/2.81 parent0: (16771) {G0,W15,D2,L3,V6,M3} { ! perp( X, Y, U, W ), ! perp( U, W
% 2.40/2.81 , Z, T ), para( X, Y, Z, T ) }.
% 2.40/2.81 substitution0:
% 2.40/2.81 X := X
% 2.40/2.81 Y := Y
% 2.40/2.81 Z := Z
% 2.40/2.81 T := T
% 2.40/2.81 U := U
% 2.40/2.81 W := W
% 2.40/2.81 end
% 2.40/2.81 permutation0:
% 2.40/2.81 0 ==> 0
% 2.40/2.81 1 ==> 1
% 2.40/2.81 2 ==> 2
% 2.40/2.81 end
% 2.40/2.81
% 2.40/2.81 subsumption: (10) {G0,W8,D2,L2,V3,M2} I { ! midp( Z, Y, X ), midp( Z, X, Y
% 2.40/2.81 ) }.
% 2.40/2.81 parent0: (16773) {G0,W8,D2,L2,V3,M2} { ! midp( Z, Y, X ), midp( Z, X, Y )
% 2.40/2.81 }.
% 2.40/2.81 substitution0:
% 2.40/2.81 X := X
% 2.40/2.81 Y := Y
% 2.40/2.81 Z := Z
% 2.40/2.81 end
% 2.40/2.81 permutation0:
% 2.40/2.81 0 ==> 0
% 2.40/2.81 1 ==> 1
% 2.40/2.81 end
% 2.40/2.81
% 2.40/2.81 subsumption: (11) {G0,W15,D2,L3,V4,M3} I { ! cong( T, X, T, Y ), ! cong( T
% 2.40/2.81 , X, T, Z ), circle( T, X, Y, Z ) }.
% 2.40/2.81 parent0: (16774) {G0,W15,D2,L3,V4,M3} { ! cong( T, X, T, Y ), ! cong( T, X
% 2.40/2.81 , T, Z ), circle( T, X, Y, Z ) }.
% 2.40/2.81 substitution0:
% 2.40/2.81 X := X
% 2.40/2.81 Y := Y
% 2.40/2.81 Z := Z
% 2.40/2.81 T := T
% 2.40/2.81 end
% 2.40/2.81 permutation0:
% 2.40/2.81 0 ==> 0
% 2.40/2.81 1 ==> 1
% 2.40/2.81 2 ==> 2
% 2.40/2.81 end
% 2.40/2.81
% 2.40/2.81 subsumption: (12) {G0,W20,D2,L4,V5,M4} I { ! cong( U, X, U, Y ), ! cong( U
% 2.40/2.81 , X, U, Z ), ! cong( U, X, U, T ), cyclic( X, Y, Z, T ) }.
% 2.40/2.81 parent0: (16775) {G0,W20,D2,L4,V5,M4} { ! cong( U, X, U, Y ), ! cong( U, X
% 2.40/2.81 , U, Z ), ! cong( U, X, U, T ), cyclic( X, Y, Z, T ) }.
% 2.40/2.81 substitution0:
% 2.40/2.81 X := X
% 2.40/2.81 Y := Y
% 2.40/2.81 Z := Z
% 2.40/2.81 T := T
% 2.40/2.81 U := U
% 2.40/2.81 end
% 2.40/2.81 permutation0:
% 2.40/2.81 0 ==> 0
% 2.40/2.81 1 ==> 1
% 2.40/2.81 2 ==> 2
% 2.40/2.81 3 ==> 3
% 2.40/2.81 end
% 2.40/2.81
% 2.40/2.81 subsumption: (13) {G0,W10,D2,L2,V4,M2} I { ! cyclic( X, Y, Z, T ), cyclic(
% 2.40/2.81 X, Y, T, Z ) }.
% 2.40/2.81 parent0: (16776) {G0,W10,D2,L2,V4,M2} { ! cyclic( X, Y, Z, T ), cyclic( X
% 2.40/2.81 , Y, T, Z ) }.
% 2.40/2.81 substitution0:
% 2.40/2.81 X := X
% 2.40/2.81 Y := Y
% 2.40/2.81 Z := Z
% 2.40/2.81 T := T
% 2.40/2.81 end
% 2.40/2.81 permutation0:
% 2.40/2.81 0 ==> 0
% 2.40/2.81 1 ==> 1
% 2.40/2.81 end
% 2.40/2.81
% 2.40/2.81 subsumption: (14) {G0,W10,D2,L2,V4,M2} I { ! cyclic( X, Y, Z, T ), cyclic(
% 2.40/2.81 X, Z, Y, T ) }.
% 2.40/2.81 parent0: (16777) {G0,W10,D2,L2,V4,M2} { ! cyclic( X, Y, Z, T ), cyclic( X
% 2.40/2.81 , Z, Y, T ) }.
% 2.40/2.81 substitution0:
% 2.40/2.81 X := X
% 2.40/2.81 Y := Y
% 2.40/2.81 Z := Z
% 2.40/2.81 T := T
% 2.40/2.81 end
% 2.40/2.81 permutation0:
% 2.40/2.81 0 ==> 0
% 2.40/2.81 1 ==> 1
% 2.40/2.81 end
% 2.40/2.81
% 2.40/2.81 subsumption: (15) {G0,W10,D2,L2,V4,M2} I { ! cyclic( X, Y, Z, T ), cyclic(
% 2.40/2.81 Y, X, Z, T ) }.
% 2.40/2.81 parent0: (16778) {G0,W10,D2,L2,V4,M2} { ! cyclic( X, Y, Z, T ), cyclic( Y
% 2.40/2.81 , X, Z, T ) }.
% 2.40/2.81 substitution0:
% 2.40/2.81 X := X
% 2.40/2.81 Y := Y
% 2.40/2.81 Z := Z
% 2.40/2.81 T := T
% 2.40/2.81 end
% 2.40/2.81 permutation0:
% 2.40/2.81 0 ==> 0
% 2.40/2.81 1 ==> 1
% 2.40/2.81 end
% 2.40/2.81
% 2.40/2.81 subsumption: (16) {G0,W15,D2,L3,V5,M3} I { ! cyclic( U, X, Y, Z ), ! cyclic
% 2.40/2.81 ( U, X, Y, T ), cyclic( X, Y, Z, T ) }.
% 2.40/2.81 parent0: (16779) {G0,W15,D2,L3,V5,M3} { ! cyclic( U, X, Y, Z ), ! cyclic(
% 2.40/2.81 U, X, Y, T ), cyclic( X, Y, Z, T ) }.
% 2.40/2.81 substitution0:
% 2.40/2.81 X := X
% 2.40/2.81 Y := Y
% 2.40/2.81 Z := Z
% 2.40/2.81 T := T
% 2.40/2.81 U := U
% 2.40/2.81 end
% 2.40/2.81 permutation0:
% 2.40/2.81 0 ==> 0
% 2.40/2.81 1 ==> 1
% 2.40/2.81 2 ==> 2
% 2.40/2.81 end
% 2.40/2.81
% 2.40/2.81 subsumption: (17) {G0,W18,D2,L2,V8,M2} I { ! eqangle( X, Y, Z, T, U, W, V0
% 2.40/2.81 , V1 ), eqangle( Y, X, Z, T, U, W, V0, V1 ) }.
% 2.40/2.81 parent0: (16780) {G0,W18,D2,L2,V8,M2} { ! eqangle( X, Y, Z, T, U, W, V0,
% 2.40/2.81 V1 ), eqangle( Y, X, Z, T, U, W, V0, V1 ) }.
% 2.40/2.81 substitution0:
% 2.40/2.81 X := X
% 2.40/2.81 Y := Y
% 2.40/2.81 Z := Z
% 2.40/2.81 T := T
% 2.40/2.81 U := U
% 2.40/2.81 W := W
% 2.40/2.81 V0 := V0
% 2.40/2.81 V1 := V1
% 2.40/2.81 end
% 2.40/2.81 permutation0:
% 2.40/2.81 0 ==> 0
% 2.40/2.81 1 ==> 1
% 2.40/2.81 end
% 2.40/2.81
% 2.40/2.81 subsumption: (19) {G0,W18,D2,L2,V8,M2} I { ! eqangle( X, Y, Z, T, U, W, V0
% 2.40/2.81 , V1 ), eqangle( U, W, V0, V1, X, Y, Z, T ) }.
% 2.40/2.81 parent0: (16782) {G0,W18,D2,L2,V8,M2} { ! eqangle( X, Y, Z, T, U, W, V0,
% 2.40/2.81 V1 ), eqangle( U, W, V0, V1, X, Y, Z, T ) }.
% 2.40/2.81 substitution0:
% 2.40/2.81 X := X
% 2.40/2.81 Y := Y
% 2.40/2.81 Z := Z
% 2.40/2.81 T := T
% 2.40/2.81 U := U
% 2.40/2.81 W := W
% 2.40/2.81 V0 := V0
% 2.40/2.81 V1 := V1
% 2.40/2.81 end
% 2.40/2.81 permutation0:
% 2.40/2.81 0 ==> 0
% 2.40/2.81 1 ==> 1
% 2.40/2.81 end
% 2.40/2.81
% 2.40/2.81 subsumption: (20) {G0,W18,D2,L2,V8,M2} I { ! eqangle( X, Y, Z, T, U, W, V0
% 2.40/2.81 , V1 ), eqangle( X, Y, U, W, Z, T, V0, V1 ) }.
% 2.40/2.81 parent0: (16783) {G0,W18,D2,L2,V8,M2} { ! eqangle( X, Y, Z, T, U, W, V0,
% 2.40/2.81 V1 ), eqangle( X, Y, U, W, Z, T, V0, V1 ) }.
% 2.40/2.81 substitution0:
% 2.40/2.81 X := X
% 2.40/2.81 Y := Y
% 2.40/2.81 Z := Z
% 2.40/2.81 T := T
% 2.40/2.81 U := U
% 2.40/2.81 W := W
% 2.40/2.81 V0 := V0
% 2.40/2.81 V1 := V1
% 2.40/2.81 end
% 2.40/2.81 permutation0:
% 2.40/2.81 0 ==> 0
% 2.40/2.81 1 ==> 1
% 2.40/2.81 end
% 2.40/2.81
% 2.40/2.81 subsumption: (22) {G0,W10,D2,L2,V4,M2} I { ! cong( X, Y, Z, T ), cong( X, Y
% 2.40/2.81 , T, Z ) }.
% 2.40/2.81 parent0: (16785) {G0,W10,D2,L2,V4,M2} { ! cong( X, Y, Z, T ), cong( X, Y,
% 2.40/2.81 T, Z ) }.
% 2.40/2.81 substitution0:
% 2.40/2.81 X := X
% 2.40/2.81 Y := Y
% 2.40/2.81 Z := Z
% 2.40/2.81 T := T
% 2.40/2.81 end
% 2.40/2.81 permutation0:
% 2.40/2.81 0 ==> 0
% 2.40/2.81 1 ==> 1
% 2.40/2.81 end
% 2.40/2.81
% 2.40/2.81 subsumption: (23) {G0,W10,D2,L2,V4,M2} I { ! cong( X, Y, Z, T ), cong( Z, T
% 2.40/2.81 , X, Y ) }.
% 2.40/2.81 parent0: (16786) {G0,W10,D2,L2,V4,M2} { ! cong( X, Y, Z, T ), cong( Z, T,
% 2.40/2.81 X, Y ) }.
% 2.40/2.81 substitution0:
% 2.40/2.81 X := X
% 2.40/2.81 Y := Y
% 2.40/2.81 Z := Z
% 2.40/2.81 T := T
% 2.40/2.81 end
% 2.40/2.81 permutation0:
% 2.40/2.81 0 ==> 0
% 2.40/2.81 1 ==> 1
% 2.40/2.81 end
% 2.40/2.81
% 2.40/2.81 subsumption: (24) {G0,W15,D2,L3,V6,M3} I { ! cong( X, Y, U, W ), ! cong( U
% 2.40/2.81 , W, Z, T ), cong( X, Y, Z, T ) }.
% 2.40/2.81 parent0: (16787) {G0,W15,D2,L3,V6,M3} { ! cong( X, Y, U, W ), ! cong( U, W
% 2.40/2.81 , Z, T ), cong( X, Y, Z, T ) }.
% 2.40/2.81 substitution0:
% 2.40/2.81 X := X
% 2.40/2.81 Y := Y
% 2.40/2.81 Z := Z
% 2.40/2.81 T := T
% 2.40/2.81 U := U
% 2.40/2.81 W := W
% 2.40/2.81 end
% 2.40/2.81 permutation0:
% 2.40/2.81 0 ==> 0
% 2.40/2.81 1 ==> 1
% 2.40/2.81 2 ==> 2
% 2.40/2.81 end
% 2.40/2.81
% 2.40/2.81 subsumption: (39) {G0,W14,D2,L2,V6,M2} I { ! para( X, Y, Z, T ), eqangle( X
% 2.40/2.81 , Y, U, W, Z, T, U, W ) }.
% 2.40/2.81 parent0: (16802) {G0,W14,D2,L2,V6,M2} { ! para( X, Y, Z, T ), eqangle( X,
% 2.40/2.81 Y, U, W, Z, T, U, W ) }.
% 2.40/2.81 substitution0:
% 2.40/2.81 X := X
% 2.40/2.81 Y := Y
% 2.40/2.81 Z := Z
% 2.40/2.81 T := T
% 2.40/2.81 U := U
% 2.40/2.81 W := W
% 2.40/2.81 end
% 2.40/2.81 permutation0:
% 2.40/2.81 0 ==> 0
% 2.40/2.81 1 ==> 1
% 2.40/2.81 end
% 2.40/2.81
% 2.40/2.81 subsumption: (44) {G0,W13,D2,L3,V5,M3} I { ! midp( Z, U, X ), ! midp( T, U
% 2.40/2.81 , Y ), para( Z, T, X, Y ) }.
% 2.40/2.81 parent0: (16807) {G0,W13,D2,L3,V5,M3} { ! midp( Z, U, X ), ! midp( T, U, Y
% 2.40/2.81 ), para( Z, T, X, Y ) }.
% 2.40/2.81 substitution0:
% 2.40/2.81 X := X
% 2.40/2.81 Y := Y
% 2.40/2.81 Z := Z
% 2.40/2.81 T := T
% 2.40/2.81 U := U
% 2.40/2.81 end
% 2.40/2.81 permutation0:
% 2.40/2.81 0 ==> 0
% 2.40/2.81 1 ==> 1
% 2.40/2.81 2 ==> 2
% 2.40/2.81 end
% 2.40/2.81
% 2.40/2.81 subsumption: (52) {G0,W14,D2,L3,V4,M3} I { ! perp( X, Y, Y, T ), ! midp( Z
% 2.40/2.81 , X, T ), cong( X, Z, Y, Z ) }.
% 2.40/2.81 parent0: (16815) {G0,W14,D2,L3,V4,M3} { ! perp( X, Y, Y, T ), ! midp( Z, X
% 2.40/2.81 , T ), cong( X, Z, Y, Z ) }.
% 2.40/2.81 substitution0:
% 2.40/2.81 X := X
% 2.40/2.81 Y := Y
% 2.40/2.81 Z := Z
% 2.40/2.81 T := T
% 2.40/2.81 end
% 2.40/2.81 permutation0:
% 2.40/2.81 0 ==> 0
% 2.40/2.81 1 ==> 1
% 2.40/2.81 2 ==> 2
% 2.40/2.81 end
% 2.40/2.81
% 2.40/2.81 subsumption: (56) {G0,W15,D2,L3,V4,M3} I { ! cong( X, Z, Y, Z ), ! cong( X
% 2.40/2.81 , T, Y, T ), perp( X, Y, Z, T ) }.
% 2.40/2.81 parent0: (16819) {G0,W15,D2,L3,V4,M3} { ! cong( X, Z, Y, Z ), ! cong( X, T
% 2.40/2.81 , Y, T ), perp( X, Y, Z, T ) }.
% 2.40/2.81 substitution0:
% 2.40/2.81 X := X
% 2.40/2.81 Y := Y
% 2.40/2.81 Z := Z
% 2.40/2.81 T := T
% 2.40/2.81 end
% 2.40/2.81 permutation0:
% 2.40/2.81 0 ==> 0
% 2.40/2.81 1 ==> 1
% 2.40/2.81 2 ==> 2
% 2.40/2.81 end
% 2.40/2.81
% 2.40/2.81 subsumption: (64) {G0,W18,D2,L4,V5,M4} I { ! midp( Z, T, U ), ! para( T, X
% 2.40/2.81 , U, Y ), ! para( T, Y, U, X ), midp( Z, X, Y ) }.
% 2.40/2.81 parent0: (16827) {G0,W18,D2,L4,V5,M4} { ! midp( Z, T, U ), ! para( T, X, U
% 2.40/2.81 , Y ), ! para( T, Y, U, X ), midp( Z, X, Y ) }.
% 2.40/2.81 substitution0:
% 2.40/2.81 X := X
% 2.40/2.81 Y := Y
% 2.40/2.81 Z := Z
% 2.40/2.81 T := T
% 2.40/2.81 U := U
% 2.40/2.81 end
% 2.40/2.81 permutation0:
% 2.40/2.81 0 ==> 0
% 2.40/2.81 1 ==> 1
% 2.40/2.81 2 ==> 2
% 2.40/2.81 3 ==> 3
% 2.40/2.81 end
% 2.40/2.81
% 2.40/2.81 subsumption: (68) {G0,W9,D2,L2,V3,M2} I { ! midp( X, Y, Z ), cong( X, Y, X
% 2.40/2.81 , Z ) }.
% 2.40/2.81 parent0: (16831) {G0,W9,D2,L2,V3,M2} { ! midp( X, Y, Z ), cong( X, Y, X, Z
% 2.40/2.81 ) }.
% 2.40/2.81 substitution0:
% 2.40/2.81 X := X
% 2.40/2.81 Y := Y
% 2.40/2.81 Z := Z
% 2.40/2.81 end
% 2.40/2.81 permutation0:
% 2.40/2.81 0 ==> 0
% 2.40/2.81 1 ==> 1
% 2.40/2.81 end
% 2.40/2.81
% 2.40/2.81 subsumption: (69) {G0,W8,D2,L2,V3,M2} I { ! midp( X, Y, Z ), coll( X, Y, Z
% 2.40/2.81 ) }.
% 2.40/2.81 parent0: (16832) {G0,W8,D2,L2,V3,M2} { ! midp( X, Y, Z ), coll( X, Y, Z )
% 2.40/2.82 }.
% 2.40/2.82 substitution0:
% 2.40/2.82 X := X
% 2.40/2.82 Y := Y
% 2.40/2.82 Z := Z
% 2.40/2.82 end
% 2.40/2.82 permutation0:
% 2.40/2.82 0 ==> 0
% 2.40/2.82 1 ==> 1
% 2.40/2.82 end
% 2.40/2.82
% 2.40/2.82 *** allocated 1297440 integers for clauses
% 2.40/2.82 subsumption: (73) {G0,W19,D2,L3,V8,M3} I { ! eqangle( X, Y, Z, T, U, W, V0
% 2.40/2.82 , V1 ), ! perp( U, W, V0, V1 ), perp( X, Y, Z, T ) }.
% 2.40/2.82 parent0: (16837) {G0,W19,D2,L3,V8,M3} { ! eqangle( X, Y, Z, T, U, W, V0,
% 2.40/2.82 V1 ), ! perp( U, W, V0, V1 ), perp( X, Y, Z, T ) }.
% 2.40/2.82 substitution0:
% 2.40/2.82 X := X
% 2.40/2.82 Y := Y
% 2.40/2.82 Z := Z
% 2.40/2.82 T := T
% 2.40/2.82 U := U
% 2.40/2.82 W := W
% 2.40/2.82 V0 := V0
% 2.40/2.82 V1 := V1
% 2.40/2.82 end
% 2.40/2.82 permutation0:
% 2.40/2.82 0 ==> 0
% 2.40/2.82 1 ==> 1
% 2.40/2.82 2 ==> 2
% 2.40/2.82 end
% 2.40/2.82
% 2.40/2.82 subsumption: (88) {G0,W22,D3,L5,V7,M5} I { ! midp( Z, X, Y ), ! midp( W, T
% 2.40/2.82 , U ), ! coll( T, X, Y ), ! coll( U, X, Y ), midp( skol7( X, V0 ), X, V0
% 2.40/2.82 ) }.
% 2.40/2.82 parent0: (16852) {G0,W22,D3,L5,V7,M5} { ! midp( Z, X, Y ), ! midp( W, T, U
% 2.40/2.82 ), ! coll( T, X, Y ), ! coll( U, X, Y ), midp( skol7( X, V0 ), X, V0 )
% 2.40/2.82 }.
% 2.40/2.82 substitution0:
% 2.40/2.82 X := X
% 2.40/2.82 Y := Y
% 2.40/2.82 Z := Z
% 2.40/2.82 T := T
% 2.40/2.82 U := U
% 2.40/2.82 W := W
% 2.40/2.82 V0 := V0
% 2.40/2.82 end
% 2.40/2.82 permutation0:
% 2.40/2.82 0 ==> 0
% 2.40/2.82 1 ==> 1
% 2.40/2.82 2 ==> 2
% 2.40/2.82 3 ==> 3
% 2.40/2.82 4 ==> 4
% 2.40/2.82 end
% 2.40/2.82
% 2.40/2.82 subsumption: (95) {G0,W18,D3,L3,V4,M3} I { ! perp( X, T, Y, Z ), ! perp( Y
% 2.40/2.82 , T, X, Z ), perp( X, skol10( X, Y, Z ), Z, Y ) }.
% 2.40/2.82 parent0: (16859) {G0,W18,D3,L3,V4,M3} { ! perp( X, T, Y, Z ), ! perp( Y, T
% 2.40/2.82 , X, Z ), perp( X, skol10( X, Y, Z ), Z, Y ) }.
% 2.40/2.82 substitution0:
% 2.40/2.82 X := X
% 2.40/2.82 Y := Y
% 2.40/2.82 Z := Z
% 2.40/2.82 T := T
% 2.40/2.82 end
% 2.40/2.82 permutation0:
% 2.40/2.82 0 ==> 0
% 2.40/2.82 1 ==> 1
% 2.40/2.82 2 ==> 2
% 2.40/2.82 end
% 2.40/2.82
% 2.40/2.82 subsumption: (100) {G0,W12,D3,L2,V4,M2} I { ! circle( Y, X, Z, T ), perp(
% 2.40/2.82 skol12( X, Y ), X, X, Y ) }.
% 2.40/2.82 parent0: (16864) {G0,W12,D3,L2,V4,M2} { ! circle( Y, X, Z, T ), perp(
% 2.40/2.82 skol12( X, Y ), X, X, Y ) }.
% 2.40/2.82 substitution0:
% 2.40/2.82 X := X
% 2.40/2.82 Y := Y
% 2.40/2.82 Z := Z
% 2.40/2.82 T := T
% 2.40/2.82 end
% 2.40/2.82 permutation0:
% 2.40/2.82 0 ==> 0
% 2.40/2.82 1 ==> 1
% 2.40/2.82 end
% 2.40/2.82
% 2.40/2.82 subsumption: (110) {G0,W17,D3,L3,V5,M3} I { ! perp( X, U, U, T ), ! coll( T
% 2.40/2.82 , Y, Z ), perp( skol16( X, Y, Z ), X, Y, Z ) }.
% 2.40/2.82 parent0: (16874) {G0,W17,D3,L3,V5,M3} { ! perp( X, U, U, T ), ! coll( T, Y
% 2.40/2.82 , Z ), perp( skol16( X, Y, Z ), X, Y, Z ) }.
% 2.40/2.82 substitution0:
% 2.40/2.82 X := X
% 2.40/2.82 Y := Y
% 2.40/2.82 Z := Z
% 2.40/2.82 T := T
% 2.40/2.82 U := U
% 2.40/2.82 end
% 2.40/2.82 permutation0:
% 2.40/2.82 0 ==> 0
% 2.40/2.82 1 ==> 1
% 2.40/2.82 2 ==> 2
% 2.40/2.82 end
% 2.40/2.82
% 2.40/2.82 subsumption: (117) {G0,W4,D2,L1,V0,M1} I { midp( skol27, skol20, skol25 )
% 2.40/2.82 }.
% 2.40/2.82 parent0: (16881) {G0,W4,D2,L1,V0,M1} { midp( skol27, skol20, skol25 ) }.
% 2.40/2.82 substitution0:
% 2.40/2.82 end
% 2.40/2.82 permutation0:
% 2.40/2.82 0 ==> 0
% 2.40/2.82 end
% 2.40/2.82
% 2.40/2.82 subsumption: (118) {G0,W4,D2,L1,V0,M1} I { midp( skol28, skol22, skol25 )
% 2.40/2.82 }.
% 2.40/2.82 parent0: (16882) {G0,W4,D2,L1,V0,M1} { midp( skol28, skol22, skol25 ) }.
% 2.40/2.82 substitution0:
% 2.40/2.82 end
% 2.40/2.82 permutation0:
% 2.40/2.82 0 ==> 0
% 2.40/2.82 end
% 2.40/2.82
% 2.40/2.82 subsumption: (120) {G0,W4,D2,L1,V0,M1} I { coll( skol23, skol25, skol22 )
% 2.40/2.82 }.
% 2.40/2.82 parent0: (16884) {G0,W4,D2,L1,V0,M1} { coll( skol23, skol25, skol22 ) }.
% 2.40/2.82 substitution0:
% 2.40/2.82 end
% 2.40/2.82 permutation0:
% 2.40/2.82 0 ==> 0
% 2.40/2.82 end
% 2.40/2.82
% 2.40/2.82 subsumption: (123) {G0,W5,D2,L1,V0,M1} I { ! cyclic( skol24, skol20, skol22
% 2.40/2.82 , skol23 ) }.
% 2.40/2.82 parent0: (16887) {G0,W5,D2,L1,V0,M1} { ! cyclic( skol24, skol20, skol22,
% 2.40/2.82 skol23 ) }.
% 2.40/2.82 substitution0:
% 2.40/2.82 end
% 2.40/2.82 permutation0:
% 2.40/2.82 0 ==> 0
% 2.40/2.82 end
% 2.40/2.82
% 2.40/2.82 factor: (17531) {G0,W10,D2,L2,V3,M2} { ! cong( X, Y, X, Z ), circle( X, Y
% 2.40/2.82 , Z, Z ) }.
% 2.40/2.82 parent0[0, 1]: (11) {G0,W15,D2,L3,V4,M3} I { ! cong( T, X, T, Y ), ! cong(
% 2.40/2.82 T, X, T, Z ), circle( T, X, Y, Z ) }.
% 2.40/2.82 substitution0:
% 2.40/2.82 X := Y
% 2.40/2.82 Y := Z
% 2.40/2.82 Z := Z
% 2.40/2.82 T := X
% 2.40/2.82 end
% 2.40/2.82
% 2.40/2.82 subsumption: (126) {G1,W10,D2,L2,V3,M2} F(11) { ! cong( X, Y, X, Z ),
% 2.40/2.82 circle( X, Y, Z, Z ) }.
% 2.40/2.82 parent0: (17531) {G0,W10,D2,L2,V3,M2} { ! cong( X, Y, X, Z ), circle( X, Y
% 2.40/2.82 , Z, Z ) }.
% 2.40/2.82 substitution0:
% 2.40/2.82 X := X
% 2.40/2.82 Y := Y
% 2.40/2.82 Z := Z
% 2.40/2.82 end
% 2.40/2.82 permutation0:
% 2.40/2.82 0 ==> 0
% 2.40/2.82 1 ==> 1
% 2.40/2.82 end
% 2.40/2.82
% 2.40/2.82 factor: (17532) {G0,W9,D2,L2,V3,M2} { ! midp( X, Y, Z ), para( X, X, Z, Z
% 2.40/2.82 ) }.
% 2.40/2.82 parent0[0, 1]: (44) {G0,W13,D2,L3,V5,M3} I { ! midp( Z, U, X ), ! midp( T,
% 2.40/2.82 U, Y ), para( Z, T, X, Y ) }.
% 2.40/2.82 substitution0:
% 2.40/2.82 X := Z
% 2.40/2.82 Y := Z
% 2.40/2.82 Z := X
% 2.40/2.82 T := X
% 2.40/2.82 U := Y
% 2.40/2.82 end
% 2.40/2.82
% 2.40/2.82 subsumption: (135) {G1,W9,D2,L2,V3,M2} F(44) { ! midp( X, Y, Z ), para( X,
% 2.40/2.82 X, Z, Z ) }.
% 2.40/2.82 parent0: (17532) {G0,W9,D2,L2,V3,M2} { ! midp( X, Y, Z ), para( X, X, Z, Z
% 2.40/2.82 ) }.
% 2.40/2.82 substitution0:
% 2.40/2.82 X := X
% 2.40/2.82 Y := Y
% 2.40/2.82 Z := Z
% 2.40/2.82 end
% 2.40/2.82 permutation0:
% 2.40/2.82 0 ==> 0
% 2.40/2.82 1 ==> 1
% 2.40/2.82 end
% 2.40/2.82
% 2.40/2.82 factor: (17533) {G0,W10,D2,L2,V3,M2} { ! cong( X, Y, Z, Y ), perp( X, Z, Y
% 2.40/2.82 , Y ) }.
% 2.40/2.82 parent0[0, 1]: (56) {G0,W15,D2,L3,V4,M3} I { ! cong( X, Z, Y, Z ), ! cong(
% 2.40/2.82 X, T, Y, T ), perp( X, Y, Z, T ) }.
% 2.40/2.82 substitution0:
% 2.40/2.82 X := X
% 2.40/2.82 Y := Z
% 2.40/2.82 Z := Y
% 2.40/2.82 T := Y
% 2.40/2.82 end
% 2.40/2.82
% 2.40/2.82 subsumption: (136) {G1,W10,D2,L2,V3,M2} F(56) { ! cong( X, Y, Z, Y ), perp
% 2.40/2.82 ( X, Z, Y, Y ) }.
% 2.40/2.82 parent0: (17533) {G0,W10,D2,L2,V3,M2} { ! cong( X, Y, Z, Y ), perp( X, Z,
% 2.40/2.82 Y, Y ) }.
% 2.40/2.82 substitution0:
% 2.40/2.82 X := X
% 2.40/2.82 Y := Y
% 2.40/2.82 Z := Z
% 2.40/2.82 end
% 2.40/2.82 permutation0:
% 2.40/2.82 0 ==> 0
% 2.40/2.82 1 ==> 1
% 2.40/2.82 end
% 2.40/2.82
% 2.40/2.82 factor: (17534) {G0,W13,D2,L3,V4,M3} { ! midp( X, Y, Z ), ! para( Y, T, Z
% 2.40/2.82 , T ), midp( X, T, T ) }.
% 2.40/2.82 parent0[1, 2]: (64) {G0,W18,D2,L4,V5,M4} I { ! midp( Z, T, U ), ! para( T,
% 2.40/2.82 X, U, Y ), ! para( T, Y, U, X ), midp( Z, X, Y ) }.
% 2.40/2.82 substitution0:
% 2.40/2.82 X := T
% 2.40/2.82 Y := T
% 2.40/2.82 Z := X
% 2.40/2.82 T := Y
% 2.40/2.82 U := Z
% 2.40/2.82 end
% 2.40/2.82
% 2.40/2.82 subsumption: (140) {G1,W13,D2,L3,V4,M3} F(64) { ! midp( X, Y, Z ), ! para(
% 2.40/2.82 Y, T, Z, T ), midp( X, T, T ) }.
% 2.40/2.82 parent0: (17534) {G0,W13,D2,L3,V4,M3} { ! midp( X, Y, Z ), ! para( Y, T, Z
% 2.40/2.82 , T ), midp( X, T, T ) }.
% 2.40/2.82 substitution0:
% 2.40/2.82 X := X
% 2.40/2.82 Y := Y
% 2.40/2.82 Z := Z
% 2.40/2.82 T := T
% 2.40/2.82 end
% 2.40/2.82 permutation0:
% 2.40/2.82 0 ==> 0
% 2.40/2.82 1 ==> 1
% 2.40/2.82 2 ==> 2
% 2.40/2.82 end
% 2.40/2.82
% 2.40/2.82 factor: (17535) {G0,W18,D3,L4,V4,M4} { ! midp( X, Y, Z ), ! coll( Y, Y, Z
% 2.40/2.82 ), ! coll( Z, Y, Z ), midp( skol7( Y, T ), Y, T ) }.
% 2.40/2.82 parent0[0, 1]: (88) {G0,W22,D3,L5,V7,M5} I { ! midp( Z, X, Y ), ! midp( W,
% 2.40/2.82 T, U ), ! coll( T, X, Y ), ! coll( U, X, Y ), midp( skol7( X, V0 ), X, V0
% 2.40/2.82 ) }.
% 2.40/2.82 substitution0:
% 2.40/2.82 X := Y
% 2.40/2.82 Y := Z
% 2.40/2.82 Z := X
% 2.40/2.82 T := Y
% 2.40/2.82 U := Z
% 2.40/2.82 W := X
% 2.40/2.82 V0 := T
% 2.40/2.82 end
% 2.40/2.82
% 2.40/2.82 subsumption: (146) {G1,W18,D3,L4,V4,M4} F(88) { ! midp( X, Y, Z ), ! coll(
% 2.40/2.82 Y, Y, Z ), ! coll( Z, Y, Z ), midp( skol7( Y, T ), Y, T ) }.
% 2.40/2.82 parent0: (17535) {G0,W18,D3,L4,V4,M4} { ! midp( X, Y, Z ), ! coll( Y, Y, Z
% 2.40/2.82 ), ! coll( Z, Y, Z ), midp( skol7( Y, T ), Y, T ) }.
% 2.40/2.82 substitution0:
% 2.40/2.82 X := X
% 2.40/2.82 Y := Y
% 2.40/2.82 Z := Z
% 2.40/2.82 T := T
% 2.40/2.82 end
% 2.40/2.82 permutation0:
% 2.40/2.82 0 ==> 0
% 2.40/2.82 1 ==> 1
% 2.40/2.82 2 ==> 2
% 2.40/2.82 3 ==> 3
% 2.40/2.82 end
% 2.40/2.82
% 2.40/2.82 factor: (17538) {G0,W13,D3,L2,V3,M2} { ! perp( X, Y, X, Z ), perp( X,
% 2.40/2.82 skol10( X, X, Z ), Z, X ) }.
% 2.40/2.82 parent0[0, 1]: (95) {G0,W18,D3,L3,V4,M3} I { ! perp( X, T, Y, Z ), ! perp(
% 2.40/2.82 Y, T, X, Z ), perp( X, skol10( X, Y, Z ), Z, Y ) }.
% 2.40/2.82 substitution0:
% 2.40/2.82 X := X
% 2.40/2.82 Y := X
% 2.40/2.82 Z := Z
% 2.40/2.82 T := Y
% 2.40/2.82 end
% 2.40/2.82
% 2.40/2.82 subsumption: (152) {G1,W13,D3,L2,V3,M2} F(95) { ! perp( X, Y, X, Z ), perp
% 2.40/2.82 ( X, skol10( X, X, Z ), Z, X ) }.
% 2.40/2.82 parent0: (17538) {G0,W13,D3,L2,V3,M2} { ! perp( X, Y, X, Z ), perp( X,
% 2.40/2.82 skol10( X, X, Z ), Z, X ) }.
% 2.40/2.82 substitution0:
% 2.40/2.82 X := X
% 2.40/2.82 Y := Y
% 2.40/2.82 Z := Z
% 2.40/2.82 end
% 2.40/2.82 permutation0:
% 2.40/2.82 0 ==> 0
% 2.40/2.82 1 ==> 1
% 2.40/2.82 end
% 2.40/2.82
% 2.40/2.82 resolution: (17539) {G1,W8,D2,L2,V3,M2} { coll( Y, X, Z ), ! coll( X, Z, Y
% 2.40/2.82 ) }.
% 2.40/2.82 parent0[0]: (1) {G0,W8,D2,L2,V3,M2} I { ! coll( X, Y, Z ), coll( Y, X, Z )
% 2.40/2.82 }.
% 2.40/2.82 parent1[1]: (0) {G0,W8,D2,L2,V3,M2} I { ! coll( X, Y, Z ), coll( X, Z, Y )
% 2.40/2.82 }.
% 2.40/2.82 substitution0:
% 2.40/2.82 X := X
% 2.40/2.82 Y := Y
% 2.40/2.82 Z := Z
% 2.40/2.82 end
% 2.40/2.82 substitution1:
% 2.40/2.82 X := X
% 2.40/2.82 Y := Z
% 2.40/2.82 Z := Y
% 2.40/2.82 end
% 2.40/2.82
% 2.40/2.82 subsumption: (169) {G1,W8,D2,L2,V3,M2} R(1,0) { coll( X, Y, Z ), ! coll( Y
% 2.40/2.82 , Z, X ) }.
% 2.40/2.82 parent0: (17539) {G1,W8,D2,L2,V3,M2} { coll( Y, X, Z ), ! coll( X, Z, Y )
% 2.40/2.82 }.
% 2.40/2.82 substitution0:
% 2.40/2.82 X := Y
% 2.40/2.82 Y := X
% 2.40/2.82 Z := Z
% 2.40/2.82 end
% 2.40/2.82 permutation0:
% 2.40/2.82 0 ==> 0
% 2.40/2.82 1 ==> 1
% 2.40/2.82 end
% 2.40/2.82
% 2.40/2.82 resolution: (17541) {G1,W8,D2,L2,V3,M2} { coll( X, Z, Y ), ! coll( Y, X, Z
% 2.40/2.82 ) }.
% 2.40/2.82 parent0[0]: (0) {G0,W8,D2,L2,V3,M2} I { ! coll( X, Y, Z ), coll( X, Z, Y )
% 2.40/2.82 }.
% 2.40/2.82 parent1[1]: (1) {G0,W8,D2,L2,V3,M2} I { ! coll( X, Y, Z ), coll( Y, X, Z )
% 2.40/2.82 }.
% 2.40/2.82 substitution0:
% 2.40/2.82 X := X
% 2.40/2.82 Y := Y
% 2.40/2.82 Z := Z
% 2.40/2.82 end
% 2.40/2.82 substitution1:
% 2.40/2.82 X := Y
% 2.40/2.82 Y := X
% 2.40/2.82 Z := Z
% 2.40/2.82 end
% 2.40/2.82
% 2.40/2.82 subsumption: (170) {G1,W8,D2,L2,V3,M2} R(1,0) { ! coll( X, Y, Z ), coll( Y
% 2.40/2.82 , Z, X ) }.
% 2.40/2.82 parent0: (17541) {G1,W8,D2,L2,V3,M2} { coll( X, Z, Y ), ! coll( Y, X, Z )
% 2.40/2.82 }.
% 2.40/2.82 substitution0:
% 2.40/2.82 X := Y
% 2.40/2.82 Y := X
% 2.40/2.82 Z := Z
% 2.40/2.82 end
% 2.40/2.82 permutation0:
% 2.40/2.82 0 ==> 1
% 2.40/2.82 1 ==> 0
% 2.40/2.82 end
% 2.40/2.82
% 2.40/2.82 resolution: (17542) {G1,W4,D2,L1,V0,M1} { coll( skol25, skol23, skol22 )
% 2.40/2.82 }.
% 2.40/2.82 parent0[0]: (1) {G0,W8,D2,L2,V3,M2} I { ! coll( X, Y, Z ), coll( Y, X, Z )
% 2.40/2.82 }.
% 2.40/2.82 parent1[0]: (120) {G0,W4,D2,L1,V0,M1} I { coll( skol23, skol25, skol22 )
% 2.40/2.82 }.
% 2.40/2.82 substitution0:
% 2.40/2.82 X := skol23
% 2.40/2.82 Y := skol25
% 2.40/2.82 Z := skol22
% 2.40/2.82 end
% 2.40/2.82 substitution1:
% 2.40/2.82 end
% 2.40/2.82
% 2.40/2.82 subsumption: (172) {G1,W4,D2,L1,V0,M1} R(1,120) { coll( skol25, skol23,
% 2.40/2.82 skol22 ) }.
% 2.40/2.82 parent0: (17542) {G1,W4,D2,L1,V0,M1} { coll( skol25, skol23, skol22 ) }.
% 2.40/2.82 substitution0:
% 2.40/2.82 end
% 2.40/2.82 permutation0:
% 2.40/2.82 0 ==> 0
% 2.40/2.82 end
% 2.40/2.82
% 2.40/2.82 resolution: (17546) {G1,W12,D2,L3,V4,M3} { coll( X, Z, Y ), ! coll( Z, T,
% 2.40/2.82 X ), ! coll( Z, T, Y ) }.
% 2.40/2.82 parent0[0]: (0) {G0,W8,D2,L2,V3,M2} I { ! coll( X, Y, Z ), coll( X, Z, Y )
% 2.40/2.82 }.
% 2.40/2.82 parent1[2]: (2) {G0,W12,D2,L3,V4,M3} I { ! coll( X, T, Y ), ! coll( X, T, Z
% 2.40/2.82 ), coll( Y, Z, X ) }.
% 2.40/2.82 substitution0:
% 2.40/2.82 X := X
% 2.40/2.82 Y := Y
% 2.40/2.82 Z := Z
% 2.40/2.82 end
% 2.40/2.82 substitution1:
% 2.40/2.82 X := Z
% 2.40/2.82 Y := X
% 2.40/2.82 Z := Y
% 2.40/2.82 T := T
% 2.40/2.82 end
% 2.40/2.82
% 2.40/2.82 subsumption: (200) {G1,W12,D2,L3,V4,M3} R(2,0) { ! coll( X, Y, Z ), ! coll
% 2.40/2.82 ( X, Y, T ), coll( Z, X, T ) }.
% 2.40/2.82 parent0: (17546) {G1,W12,D2,L3,V4,M3} { coll( X, Z, Y ), ! coll( Z, T, X )
% 2.40/2.82 , ! coll( Z, T, Y ) }.
% 2.40/2.82 substitution0:
% 2.40/2.82 X := Z
% 2.40/2.82 Y := T
% 2.40/2.82 Z := X
% 2.40/2.82 T := Y
% 2.40/2.82 end
% 2.40/2.82 permutation0:
% 2.40/2.82 0 ==> 2
% 2.40/2.82 1 ==> 0
% 2.40/2.82 2 ==> 1
% 2.40/2.82 end
% 2.40/2.82
% 2.40/2.82 factor: (17548) {G1,W8,D2,L2,V3,M2} { ! coll( X, Y, Z ), coll( Z, X, Z )
% 2.40/2.82 }.
% 2.40/2.82 parent0[0, 1]: (200) {G1,W12,D2,L3,V4,M3} R(2,0) { ! coll( X, Y, Z ), !
% 2.40/2.82 coll( X, Y, T ), coll( Z, X, T ) }.
% 2.40/2.82 substitution0:
% 2.40/2.82 X := X
% 2.40/2.82 Y := Y
% 2.40/2.82 Z := Z
% 2.40/2.82 T := Z
% 2.40/2.82 end
% 2.40/2.82
% 2.40/2.82 subsumption: (209) {G2,W8,D2,L2,V3,M2} F(200) { ! coll( X, Y, Z ), coll( Z
% 2.40/2.82 , X, Z ) }.
% 2.40/2.82 parent0: (17548) {G1,W8,D2,L2,V3,M2} { ! coll( X, Y, Z ), coll( Z, X, Z )
% 2.40/2.82 }.
% 2.40/2.82 substitution0:
% 2.40/2.82 X := X
% 2.40/2.82 Y := Y
% 2.40/2.82 Z := Z
% 2.40/2.82 end
% 2.40/2.82 permutation0:
% 2.40/2.82 0 ==> 0
% 2.40/2.82 1 ==> 1
% 2.40/2.82 end
% 2.40/2.82
% 2.40/2.82 resolution: (17549) {G2,W4,D2,L1,V0,M1} { coll( skol22, skol25, skol22 )
% 2.40/2.82 }.
% 2.40/2.82 parent0[0]: (209) {G2,W8,D2,L2,V3,M2} F(200) { ! coll( X, Y, Z ), coll( Z,
% 2.40/2.82 X, Z ) }.
% 2.40/2.82 parent1[0]: (172) {G1,W4,D2,L1,V0,M1} R(1,120) { coll( skol25, skol23,
% 2.40/2.82 skol22 ) }.
% 2.40/2.82 substitution0:
% 2.40/2.82 X := skol25
% 2.40/2.82 Y := skol23
% 2.40/2.82 Z := skol22
% 2.40/2.82 end
% 2.40/2.82 substitution1:
% 2.40/2.82 end
% 2.40/2.82
% 2.40/2.82 subsumption: (254) {G3,W4,D2,L1,V0,M1} R(209,172) { coll( skol22, skol25,
% 2.40/2.82 skol22 ) }.
% 2.40/2.82 parent0: (17549) {G2,W4,D2,L1,V0,M1} { coll( skol22, skol25, skol22 ) }.
% 2.40/2.82 substitution0:
% 2.40/2.82 end
% 2.40/2.82 permutation0:
% 2.40/2.82 0 ==> 0
% 2.40/2.82 end
% 2.40/2.82
% 2.40/2.82 resolution: (17550) {G1,W12,D2,L3,V4,M3} { coll( Z, X, Z ), ! coll( Z, T,
% 2.40/2.82 X ), ! coll( Z, T, Y ) }.
% 2.40/2.82 parent0[0]: (209) {G2,W8,D2,L2,V3,M2} F(200) { ! coll( X, Y, Z ), coll( Z,
% 2.40/2.82 X, Z ) }.
% 2.40/2.82 parent1[2]: (2) {G0,W12,D2,L3,V4,M3} I { ! coll( X, T, Y ), ! coll( X, T, Z
% 2.40/2.82 ), coll( Y, Z, X ) }.
% 2.40/2.82 substitution0:
% 2.40/2.82 X := X
% 2.40/2.82 Y := Y
% 2.40/2.82 Z := Z
% 2.40/2.82 end
% 2.40/2.82 substitution1:
% 2.40/2.82 X := Z
% 2.40/2.82 Y := X
% 2.40/2.82 Z := Y
% 2.40/2.82 T := T
% 2.40/2.82 end
% 2.40/2.82
% 2.40/2.82 subsumption: (264) {G3,W12,D2,L3,V4,M3} R(209,2) { coll( X, Y, X ), ! coll
% 2.40/2.82 ( X, Z, Y ), ! coll( X, Z, T ) }.
% 2.40/2.82 parent0: (17550) {G1,W12,D2,L3,V4,M3} { coll( Z, X, Z ), ! coll( Z, T, X )
% 2.40/2.82 , ! coll( Z, T, Y ) }.
% 2.40/2.82 substitution0:
% 2.40/2.82 X := Y
% 2.40/2.82 Y := Y
% 2.40/2.82 Z := X
% 2.40/2.82 T := Z
% 2.40/2.82 end
% 2.40/2.82 permutation0:
% 2.40/2.82 0 ==> 0
% 2.40/2.82 1 ==> 1
% 2.40/2.82 2 ==> 1
% 2.40/2.82 end
% 2.40/2.82
% 2.40/2.82 factor: (17552) {G3,W8,D2,L2,V3,M2} { coll( X, Y, X ), ! coll( X, Z, Y )
% 2.40/2.82 }.
% 2.40/2.82 parent0[1, 2]: (264) {G3,W12,D2,L3,V4,M3} R(209,2) { coll( X, Y, X ), !
% 2.40/2.82 coll( X, Z, Y ), ! coll( X, Z, T ) }.
% 2.40/2.82 substitution0:
% 2.40/2.82 X := X
% 2.40/2.82 Y := Y
% 2.40/2.82 Z := Z
% 2.40/2.82 T := Y
% 2.40/2.82 end
% 2.40/2.82
% 2.40/2.82 subsumption: (281) {G4,W8,D2,L2,V3,M2} F(264) { coll( X, Y, X ), ! coll( X
% 2.40/2.82 , Z, Y ) }.
% 2.40/2.82 parent0: (17552) {G3,W8,D2,L2,V3,M2} { coll( X, Y, X ), ! coll( X, Z, Y )
% 2.40/2.82 }.
% 2.40/2.82 substitution0:
% 2.40/2.82 X := X
% 2.40/2.82 Y := Y
% 2.40/2.82 Z := Z
% 2.40/2.82 end
% 2.40/2.82 permutation0:
% 2.40/2.82 0 ==> 0
% 2.40/2.82 1 ==> 1
% 2.40/2.82 end
% 2.40/2.82
% 2.40/2.82 resolution: (17554) {G1,W10,D2,L2,V4,M2} { perp( X, Y, T, Z ), ! perp( Z,
% 2.40/2.82 T, X, Y ) }.
% 2.40/2.82 parent0[0]: (6) {G0,W10,D2,L2,V4,M2} I { ! perp( X, Y, Z, T ), perp( X, Y,
% 2.40/2.82 T, Z ) }.
% 2.40/2.82 parent1[1]: (7) {G0,W10,D2,L2,V4,M2} I { ! perp( X, Y, Z, T ), perp( Z, T,
% 2.40/2.82 X, Y ) }.
% 2.40/2.82 substitution0:
% 2.40/2.82 X := X
% 2.40/2.82 Y := Y
% 2.40/2.82 Z := Z
% 2.40/2.82 T := T
% 2.40/2.82 end
% 2.40/2.82 substitution1:
% 2.40/2.82 X := Z
% 2.40/2.82 Y := T
% 2.40/2.82 Z := X
% 2.40/2.82 T := Y
% 2.40/2.82 end
% 2.40/2.82
% 2.40/2.82 subsumption: (290) {G1,W10,D2,L2,V4,M2} R(7,6) { ! perp( X, Y, Z, T ), perp
% 2.40/2.82 ( Z, T, Y, X ) }.
% 2.40/2.82 parent0: (17554) {G1,W10,D2,L2,V4,M2} { perp( X, Y, T, Z ), ! perp( Z, T,
% 2.40/2.82 X, Y ) }.
% 2.40/2.82 substitution0:
% 2.40/2.82 X := Z
% 2.40/2.82 Y := T
% 2.40/2.82 Z := X
% 2.40/2.82 T := Y
% 2.40/2.82 end
% 2.40/2.82 permutation0:
% 2.40/2.82 0 ==> 1
% 2.40/2.82 1 ==> 0
% 2.40/2.82 end
% 2.40/2.82
% 2.40/2.82 resolution: (17556) {G1,W15,D2,L3,V6,M3} { ! perp( X, Y, Z, T ), para( X,
% 2.40/2.82 Y, U, W ), ! perp( U, W, Z, T ) }.
% 2.40/2.82 parent0[1]: (8) {G0,W15,D2,L3,V6,M3} I { ! perp( X, Y, U, W ), ! perp( U, W
% 2.40/2.82 , Z, T ), para( X, Y, Z, T ) }.
% 2.40/2.82 parent1[1]: (7) {G0,W10,D2,L2,V4,M2} I { ! perp( X, Y, Z, T ), perp( Z, T,
% 2.40/2.82 X, Y ) }.
% 2.40/2.82 substitution0:
% 2.40/2.82 X := X
% 2.40/2.82 Y := Y
% 2.40/2.82 Z := U
% 2.40/2.82 T := W
% 2.40/2.82 U := Z
% 2.40/2.82 W := T
% 2.40/2.82 end
% 2.40/2.82 substitution1:
% 2.40/2.82 X := U
% 2.40/2.82 Y := W
% 2.40/2.82 Z := Z
% 2.40/2.82 T := T
% 2.40/2.82 end
% 2.40/2.82
% 2.40/2.82 subsumption: (299) {G1,W15,D2,L3,V6,M3} R(8,7) { ! perp( X, Y, Z, T ), para
% 2.40/2.82 ( X, Y, U, W ), ! perp( U, W, Z, T ) }.
% 2.40/2.82 parent0: (17556) {G1,W15,D2,L3,V6,M3} { ! perp( X, Y, Z, T ), para( X, Y,
% 2.40/2.82 U, W ), ! perp( U, W, Z, T ) }.
% 2.40/2.82 substitution0:
% 2.40/2.82 X := X
% 2.40/2.82 Y := Y
% 2.40/2.82 Z := Z
% 2.40/2.82 T := T
% 2.40/2.82 U := U
% 2.40/2.82 W := W
% 2.40/2.82 end
% 2.40/2.82 permutation0:
% 2.40/2.82 0 ==> 0
% 2.40/2.82 1 ==> 1
% 2.40/2.82 2 ==> 2
% 2.40/2.82 end
% 2.40/2.82
% 2.40/2.82 factor: (17559) {G1,W10,D2,L2,V4,M2} { ! perp( X, Y, Z, T ), para( X, Y, X
% 2.40/2.82 , Y ) }.
% 2.40/2.82 parent0[0, 2]: (299) {G1,W15,D2,L3,V6,M3} R(8,7) { ! perp( X, Y, Z, T ),
% 2.40/2.82 para( X, Y, U, W ), ! perp( U, W, Z, T ) }.
% 2.40/2.82 substitution0:
% 2.40/2.82 X := X
% 2.40/2.82 Y := Y
% 2.40/2.82 Z := Z
% 2.40/2.82 T := T
% 2.40/2.82 U := X
% 2.40/2.82 W := Y
% 2.40/2.82 end
% 2.40/2.82
% 2.40/2.82 subsumption: (307) {G2,W10,D2,L2,V4,M2} F(299) { ! perp( X, Y, Z, T ), para
% 2.40/2.82 ( X, Y, X, Y ) }.
% 2.40/2.82 parent0: (17559) {G1,W10,D2,L2,V4,M2} { ! perp( X, Y, Z, T ), para( X, Y,
% 2.40/2.82 X, Y ) }.
% 2.40/2.82 substitution0:
% 2.40/2.82 X := X
% 2.40/2.82 Y := Y
% 2.40/2.82 Z := Z
% 2.40/2.82 T := T
% 2.40/2.82 end
% 2.40/2.82 permutation0:
% 2.40/2.82 0 ==> 0
% 2.40/2.82 1 ==> 1
% 2.40/2.82 end
% 2.40/2.82
% 2.40/2.82 resolution: (17560) {G1,W4,D2,L1,V0,M1} { coll( skol22, skol22, skol25 )
% 2.40/2.82 }.
% 2.40/2.82 parent0[0]: (0) {G0,W8,D2,L2,V3,M2} I { ! coll( X, Y, Z ), coll( X, Z, Y )
% 2.40/2.82 }.
% 2.40/2.82 parent1[0]: (254) {G3,W4,D2,L1,V0,M1} R(209,172) { coll( skol22, skol25,
% 2.40/2.82 skol22 ) }.
% 2.40/2.82 substitution0:
% 2.40/2.82 X := skol22
% 2.40/2.82 Y := skol25
% 2.40/2.82 Z := skol22
% 2.40/2.82 end
% 2.40/2.82 substitution1:
% 2.40/2.82 end
% 2.40/2.82
% 2.40/2.82 subsumption: (312) {G4,W4,D2,L1,V0,M1} R(254,0) { coll( skol22, skol22,
% 2.40/2.82 skol25 ) }.
% 2.40/2.82 parent0: (17560) {G1,W4,D2,L1,V0,M1} { coll( skol22, skol22, skol25 ) }.
% 2.40/2.82 substitution0:
% 2.40/2.82 end
% 2.40/2.82 permutation0:
% 2.40/2.82 0 ==> 0
% 2.40/2.82 end
% 2.40/2.82
% 2.40/2.82 resolution: (17561) {G1,W4,D2,L1,V0,M1} { midp( skol27, skol25, skol20 )
% 2.40/2.82 }.
% 2.40/2.82 parent0[0]: (10) {G0,W8,D2,L2,V3,M2} I { ! midp( Z, Y, X ), midp( Z, X, Y )
% 2.40/2.82 }.
% 2.40/2.82 parent1[0]: (117) {G0,W4,D2,L1,V0,M1} I { midp( skol27, skol20, skol25 )
% 2.40/2.82 }.
% 2.40/2.82 substitution0:
% 2.40/2.82 X := skol25
% 2.40/2.82 Y := skol20
% 2.40/2.82 Z := skol27
% 2.40/2.82 end
% 2.40/2.82 substitution1:
% 2.40/2.82 end
% 2.40/2.82
% 2.40/2.82 subsumption: (331) {G1,W4,D2,L1,V0,M1} R(10,117) { midp( skol27, skol25,
% 2.40/2.82 skol20 ) }.
% 2.40/2.82 parent0: (17561) {G1,W4,D2,L1,V0,M1} { midp( skol27, skol25, skol20 ) }.
% 2.40/2.82 substitution0:
% 2.40/2.82 end
% 2.40/2.82 permutation0:
% 2.40/2.82 0 ==> 0
% 2.40/2.82 end
% 2.40/2.82
% 2.40/2.82 resolution: (17563) {G1,W10,D2,L2,V4,M2} { cyclic( X, Y, T, Z ), ! cyclic
% 2.40/2.82 ( X, Z, Y, T ) }.
% 2.40/2.82 parent0[0]: (13) {G0,W10,D2,L2,V4,M2} I { ! cyclic( X, Y, Z, T ), cyclic( X
% 2.40/2.82 , Y, T, Z ) }.
% 2.40/2.82 parent1[1]: (14) {G0,W10,D2,L2,V4,M2} I { ! cyclic( X, Y, Z, T ), cyclic( X
% 2.40/2.82 , Z, Y, T ) }.
% 2.40/2.82 substitution0:
% 2.40/2.82 X := X
% 2.40/2.82 Y := Y
% 2.40/2.82 Z := Z
% 2.40/2.82 T := T
% 2.40/2.82 end
% 2.40/2.82 substitution1:
% 2.40/2.82 X := X
% 2.40/2.82 Y := Z
% 2.40/2.82 Z := Y
% 2.40/2.82 T := T
% 2.40/2.82 end
% 2.40/2.82
% 2.40/2.82 subsumption: (362) {G1,W10,D2,L2,V4,M2} R(14,13) { ! cyclic( X, Y, Z, T ),
% 2.40/2.82 cyclic( X, Z, T, Y ) }.
% 2.40/2.82 parent0: (17563) {G1,W10,D2,L2,V4,M2} { cyclic( X, Y, T, Z ), ! cyclic( X
% 2.40/2.82 , Z, Y, T ) }.
% 2.40/2.82 substitution0:
% 2.40/2.82 X := X
% 2.40/2.82 Y := Z
% 2.40/2.82 Z := Y
% 2.40/2.82 T := T
% 2.40/2.82 end
% 2.40/2.82 permutation0:
% 2.40/2.82 0 ==> 1
% 2.40/2.82 1 ==> 0
% 2.40/2.82 end
% 2.40/2.82
% 2.40/2.82 resolution: (17564) {G1,W10,D2,L2,V4,M2} { cyclic( Y, X, Z, T ), ! cyclic
% 2.40/2.82 ( X, Z, Y, T ) }.
% 2.40/2.82 parent0[0]: (15) {G0,W10,D2,L2,V4,M2} I { ! cyclic( X, Y, Z, T ), cyclic( Y
% 2.40/2.82 , X, Z, T ) }.
% 2.40/2.82 parent1[1]: (14) {G0,W10,D2,L2,V4,M2} I { ! cyclic( X, Y, Z, T ), cyclic( X
% 2.40/2.82 , Z, Y, T ) }.
% 2.40/2.82 substitution0:
% 2.40/2.82 X := X
% 2.40/2.82 Y := Y
% 2.40/2.82 Z := Z
% 2.40/2.82 T := T
% 2.40/2.82 end
% 2.40/2.82 substitution1:
% 2.40/2.82 X := X
% 2.40/2.82 Y := Z
% 2.40/2.82 Z := Y
% 2.40/2.82 T := T
% 2.40/2.82 end
% 2.40/2.82
% 2.40/2.82 subsumption: (374) {G1,W10,D2,L2,V4,M2} R(15,14) { cyclic( X, Y, Z, T ), !
% 2.40/2.82 cyclic( Y, Z, X, T ) }.
% 2.40/2.82 parent0: (17564) {G1,W10,D2,L2,V4,M2} { cyclic( Y, X, Z, T ), ! cyclic( X
% 2.40/2.82 , Z, Y, T ) }.
% 2.40/2.82 substitution0:
% 2.40/2.82 X := Y
% 2.40/2.82 Y := X
% 2.40/2.82 Z := Z
% 2.40/2.82 T := T
% 2.40/2.82 end
% 2.40/2.82 permutation0:
% 2.40/2.82 0 ==> 0
% 2.40/2.82 1 ==> 1
% 2.40/2.82 end
% 2.40/2.82
% 2.40/2.82 resolution: (17565) {G1,W20,D2,L4,V5,M4} { cyclic( Y, X, Z, T ), ! cong( U
% 2.40/2.82 , X, U, Y ), ! cong( U, X, U, Z ), ! cong( U, X, U, T ) }.
% 2.40/2.82 parent0[0]: (15) {G0,W10,D2,L2,V4,M2} I { ! cyclic( X, Y, Z, T ), cyclic( Y
% 2.40/2.82 , X, Z, T ) }.
% 2.40/2.82 parent1[3]: (12) {G0,W20,D2,L4,V5,M4} I { ! cong( U, X, U, Y ), ! cong( U,
% 2.40/2.82 X, U, Z ), ! cong( U, X, U, T ), cyclic( X, Y, Z, T ) }.
% 2.40/2.82 substitution0:
% 2.40/2.82 X := X
% 2.40/2.82 Y := Y
% 2.40/2.82 Z := Z
% 2.40/2.82 T := T
% 2.40/2.82 end
% 2.40/2.82 substitution1:
% 2.40/2.82 X := X
% 2.40/2.82 Y := Y
% 2.40/2.82 Z := Z
% 2.40/2.82 T := T
% 2.40/2.82 U := U
% 2.40/2.82 end
% 2.40/2.82
% 2.40/2.82 subsumption: (377) {G1,W20,D2,L4,V5,M4} R(15,12) { cyclic( X, Y, Z, T ), !
% 2.40/2.82 cong( U, Y, U, X ), ! cong( U, Y, U, Z ), ! cong( U, Y, U, T ) }.
% 2.40/2.82 parent0: (17565) {G1,W20,D2,L4,V5,M4} { cyclic( Y, X, Z, T ), ! cong( U, X
% 2.40/2.82 , U, Y ), ! cong( U, X, U, Z ), ! cong( U, X, U, T ) }.
% 2.40/2.82 substitution0:
% 2.40/2.82 X := Y
% 2.40/2.82 Y := X
% 2.40/2.82 Z := Z
% 2.40/2.82 T := T
% 2.40/2.82 U := U
% 2.40/2.82 end
% 2.40/2.82 permutation0:
% 2.40/2.82 0 ==> 0
% 2.40/2.82 1 ==> 1
% 2.40/2.82 2 ==> 2
% 2.40/2.82 3 ==> 3
% 2.40/2.82 end
% 2.40/2.82
% 2.40/2.82 resolution: (17570) {G1,W5,D2,L1,V0,M1} { ! cyclic( skol20, skol24, skol22
% 2.40/2.82 , skol23 ) }.
% 2.40/2.82 parent0[0]: (123) {G0,W5,D2,L1,V0,M1} I { ! cyclic( skol24, skol20, skol22
% 2.40/2.82 , skol23 ) }.
% 2.40/2.82 parent1[1]: (15) {G0,W10,D2,L2,V4,M2} I { ! cyclic( X, Y, Z, T ), cyclic( Y
% 2.40/2.82 , X, Z, T ) }.
% 2.40/2.82 substitution0:
% 2.40/2.82 end
% 2.40/2.82 substitution1:
% 2.40/2.82 X := skol20
% 2.40/2.82 Y := skol24
% 2.40/2.82 Z := skol22
% 2.40/2.82 T := skol23
% 2.40/2.82 end
% 2.40/2.82
% 2.40/2.82 subsumption: (378) {G1,W5,D2,L1,V0,M1} R(15,123) { ! cyclic( skol20, skol24
% 2.40/2.82 , skol22, skol23 ) }.
% 2.40/2.82 parent0: (17570) {G1,W5,D2,L1,V0,M1} { ! cyclic( skol20, skol24, skol22,
% 2.40/2.82 skol23 ) }.
% 2.40/2.82 substitution0:
% 2.40/2.82 end
% 2.40/2.82 permutation0:
% 2.40/2.82 0 ==> 0
% 2.40/2.82 end
% 2.40/2.82
% 2.40/2.82 factor: (17573) {G1,W15,D2,L3,V4,M3} { cyclic( X, Y, Z, Z ), ! cong( T, Y
% 2.40/2.82 , T, X ), ! cong( T, Y, T, Z ) }.
% 2.40/2.82 parent0[2, 3]: (377) {G1,W20,D2,L4,V5,M4} R(15,12) { cyclic( X, Y, Z, T ),
% 2.40/2.82 ! cong( U, Y, U, X ), ! cong( U, Y, U, Z ), ! cong( U, Y, U, T ) }.
% 2.40/2.82 substitution0:
% 2.40/2.82 X := X
% 2.40/2.82 Y := Y
% 2.40/2.82 Z := Z
% 2.40/2.82 T := Z
% 2.40/2.82 U := T
% 2.40/2.82 end
% 2.40/2.82
% 2.40/2.82 subsumption: (381) {G2,W15,D2,L3,V4,M3} F(377) { cyclic( X, Y, Z, Z ), !
% 2.40/2.82 cong( T, Y, T, X ), ! cong( T, Y, T, Z ) }.
% 2.40/2.82 parent0: (17573) {G1,W15,D2,L3,V4,M3} { cyclic( X, Y, Z, Z ), ! cong( T, Y
% 2.40/2.82 , T, X ), ! cong( T, Y, T, Z ) }.
% 2.40/2.82 substitution0:
% 2.40/2.82 X := X
% 2.40/2.82 Y := Y
% 2.40/2.82 Z := Z
% 2.40/2.82 T := T
% 2.40/2.82 end
% 2.40/2.82 permutation0:
% 2.40/2.82 0 ==> 0
% 2.40/2.82 1 ==> 1
% 2.40/2.82 2 ==> 2
% 2.40/2.82 end
% 2.40/2.82
% 2.40/2.82 factor: (17575) {G2,W10,D2,L2,V3,M2} { cyclic( X, Y, X, X ), ! cong( Z, Y
% 2.40/2.82 , Z, X ) }.
% 2.40/2.82 parent0[1, 2]: (381) {G2,W15,D2,L3,V4,M3} F(377) { cyclic( X, Y, Z, Z ), !
% 2.40/2.82 cong( T, Y, T, X ), ! cong( T, Y, T, Z ) }.
% 2.40/2.82 substitution0:
% 2.40/2.82 X := X
% 2.40/2.82 Y := Y
% 2.40/2.82 Z := X
% 2.40/2.82 T := Z
% 2.40/2.82 end
% 2.40/2.82
% 2.40/2.82 subsumption: (382) {G3,W10,D2,L2,V3,M2} F(381) { cyclic( X, Y, X, X ), !
% 2.40/2.82 cong( Z, Y, Z, X ) }.
% 2.40/2.82 parent0: (17575) {G2,W10,D2,L2,V3,M2} { cyclic( X, Y, X, X ), ! cong( Z, Y
% 2.40/2.82 , Z, X ) }.
% 2.40/2.82 substitution0:
% 2.40/2.82 X := X
% 2.40/2.82 Y := Y
% 2.40/2.82 Z := Z
% 2.40/2.82 end
% 2.40/2.82 permutation0:
% 2.40/2.82 0 ==> 0
% 2.40/2.82 1 ==> 1
% 2.40/2.82 end
% 2.40/2.82
% 2.40/2.82 resolution: (17577) {G1,W15,D2,L3,V5,M3} { ! cyclic( X, Y, Z, T ), cyclic
% 2.40/2.82 ( Y, Z, T, U ), ! cyclic( X, Y, U, Z ) }.
% 2.40/2.82 parent0[1]: (16) {G0,W15,D2,L3,V5,M3} I { ! cyclic( U, X, Y, Z ), ! cyclic
% 2.40/2.82 ( U, X, Y, T ), cyclic( X, Y, Z, T ) }.
% 2.40/2.82 parent1[1]: (13) {G0,W10,D2,L2,V4,M2} I { ! cyclic( X, Y, Z, T ), cyclic( X
% 2.40/2.82 , Y, T, Z ) }.
% 2.40/2.82 substitution0:
% 2.40/2.82 X := Y
% 2.40/2.82 Y := Z
% 2.40/2.82 Z := T
% 2.40/2.82 T := U
% 2.40/2.82 U := X
% 2.40/2.82 end
% 2.40/2.82 substitution1:
% 2.40/2.82 X := X
% 2.40/2.82 Y := Y
% 2.40/2.82 Z := U
% 2.40/2.82 T := Z
% 2.40/2.82 end
% 2.40/2.82
% 2.40/2.82 subsumption: (399) {G1,W15,D2,L3,V5,M3} R(16,13) { ! cyclic( X, Y, Z, T ),
% 2.40/2.82 cyclic( Y, Z, T, U ), ! cyclic( X, Y, U, Z ) }.
% 2.40/2.82 parent0: (17577) {G1,W15,D2,L3,V5,M3} { ! cyclic( X, Y, Z, T ), cyclic( Y
% 2.40/2.82 , Z, T, U ), ! cyclic( X, Y, U, Z ) }.
% 2.40/2.82 substitution0:
% 2.40/2.82 X := X
% 2.40/2.82 Y := Y
% 2.40/2.82 Z := Z
% 2.40/2.82 T := T
% 2.40/2.82 U := U
% 2.40/2.82 end
% 2.40/2.82 permutation0:
% 2.40/2.82 0 ==> 0
% 2.40/2.82 1 ==> 1
% 2.40/2.82 2 ==> 2
% 2.40/2.82 end
% 2.40/2.82
% 2.40/2.82 resolution: (17580) {G1,W18,D2,L2,V8,M2} { eqangle( Y, X, Z, T, U, W, V0,
% 2.40/2.82 V1 ), ! eqangle( U, W, V0, V1, X, Y, Z, T ) }.
% 2.40/2.82 parent0[0]: (17) {G0,W18,D2,L2,V8,M2} I { ! eqangle( X, Y, Z, T, U, W, V0,
% 2.40/2.82 V1 ), eqangle( Y, X, Z, T, U, W, V0, V1 ) }.
% 2.40/2.82 parent1[1]: (19) {G0,W18,D2,L2,V8,M2} I { ! eqangle( X, Y, Z, T, U, W, V0,
% 2.40/2.82 V1 ), eqangle( U, W, V0, V1, X, Y, Z, T ) }.
% 2.40/2.82 substitution0:
% 2.40/2.82 X := X
% 2.40/2.82 Y := Y
% 2.40/2.82 Z := Z
% 2.40/2.82 T := T
% 2.40/2.82 U := U
% 2.40/2.82 W := W
% 2.40/2.82 V0 := V0
% 2.40/2.82 V1 := V1
% 2.40/2.82 end
% 2.40/2.82 substitution1:
% 2.40/2.82 X := U
% 2.40/2.82 Y := W
% 2.40/2.82 Z := V0
% 2.40/2.82 T := V1
% 2.40/2.82 U := X
% 2.40/2.82 W := Y
% 2.40/2.82 V0 := Z
% 2.40/2.82 V1 := T
% 2.40/2.82 end
% 2.40/2.82
% 2.40/2.82 subsumption: (432) {G1,W18,D2,L2,V8,M2} R(19,17) { ! eqangle( X, Y, Z, T, U
% 2.40/2.82 , W, V0, V1 ), eqangle( W, U, V0, V1, X, Y, Z, T ) }.
% 2.40/2.82 parent0: (17580) {G1,W18,D2,L2,V8,M2} { eqangle( Y, X, Z, T, U, W, V0, V1
% 2.40/2.82 ), ! eqangle( U, W, V0, V1, X, Y, Z, T ) }.
% 2.40/2.82 substitution0:
% 2.40/2.82 X := U
% 2.40/2.82 Y := W
% 2.40/2.82 Z := V0
% 2.40/2.82 T := V1
% 2.40/2.82 U := X
% 2.40/2.82 W := Y
% 2.40/2.82 V0 := Z
% 2.40/2.82 V1 := T
% 2.40/2.82 end
% 2.40/2.82 permutation0:
% 2.40/2.82 0 ==> 1
% 2.40/2.82 1 ==> 0
% 2.40/2.82 end
% 2.40/2.82
% 2.40/2.82 resolution: (17581) {G1,W18,D2,L2,V8,M2} { eqangle( X, Y, U, W, Z, T, V0,
% 2.40/2.82 V1 ), ! eqangle( Y, X, Z, T, U, W, V0, V1 ) }.
% 2.40/2.82 parent0[0]: (20) {G0,W18,D2,L2,V8,M2} I { ! eqangle( X, Y, Z, T, U, W, V0,
% 2.40/2.82 V1 ), eqangle( X, Y, U, W, Z, T, V0, V1 ) }.
% 2.40/2.82 parent1[1]: (17) {G0,W18,D2,L2,V8,M2} I { ! eqangle( X, Y, Z, T, U, W, V0,
% 2.40/2.82 V1 ), eqangle( Y, X, Z, T, U, W, V0, V1 ) }.
% 2.40/2.82 substitution0:
% 2.40/2.82 X := X
% 2.40/2.82 Y := Y
% 2.40/2.82 Z := Z
% 2.40/2.82 T := T
% 2.40/2.82 U := U
% 2.40/2.82 W := W
% 2.40/2.82 V0 := V0
% 2.40/2.82 V1 := V1
% 2.40/2.82 end
% 2.40/2.82 substitution1:
% 2.40/2.82 X := Y
% 2.40/2.82 Y := X
% 2.40/2.82 Z := Z
% 2.40/2.82 T := T
% 2.40/2.82 U := U
% 2.40/2.82 W := W
% 2.40/2.82 V0 := V0
% 2.40/2.82 V1 := V1
% 2.40/2.82 end
% 2.40/2.82
% 2.40/2.82 subsumption: (444) {G1,W18,D2,L2,V8,M2} R(20,17) { eqangle( X, Y, Z, T, U,
% 2.40/2.82 W, V0, V1 ), ! eqangle( Y, X, U, W, Z, T, V0, V1 ) }.
% 2.40/2.82 parent0: (17581) {G1,W18,D2,L2,V8,M2} { eqangle( X, Y, U, W, Z, T, V0, V1
% 2.40/2.82 ), ! eqangle( Y, X, Z, T, U, W, V0, V1 ) }.
% 2.40/2.82 substitution0:
% 2.40/2.82 X := X
% 2.40/2.82 Y := Y
% 2.40/2.82 Z := U
% 2.40/2.82 T := W
% 2.40/2.82 U := Z
% 2.40/2.82 W := T
% 2.40/2.82 V0 := V0
% 2.40/2.82 V1 := V1
% 2.40/2.82 end
% 2.40/2.82 permutation0:
% 2.40/2.82 0 ==> 0
% 2.40/2.82 1 ==> 1
% 2.40/2.82 end
% 2.40/2.82
% 2.40/2.82 resolution: (17583) {G1,W10,D2,L2,V4,M2} { cong( X, Y, T, Z ), ! cong( Z,
% 2.40/2.82 T, X, Y ) }.
% 2.40/2.82 parent0[0]: (22) {G0,W10,D2,L2,V4,M2} I { ! cong( X, Y, Z, T ), cong( X, Y
% 2.40/2.82 , T, Z ) }.
% 2.40/2.82 parent1[1]: (23) {G0,W10,D2,L2,V4,M2} I { ! cong( X, Y, Z, T ), cong( Z, T
% 2.40/2.82 , X, Y ) }.
% 2.40/2.82 substitution0:
% 2.40/2.82 X := X
% 2.40/2.82 Y := Y
% 2.40/2.82 Z := Z
% 2.40/2.82 T := T
% 2.40/2.82 end
% 2.40/2.82 substitution1:
% 2.40/2.82 X := Z
% 2.40/2.82 Y := T
% 2.40/2.82 Z := X
% 2.40/2.82 T := Y
% 2.40/2.82 end
% 2.40/2.82
% 2.40/2.82 subsumption: (490) {G1,W10,D2,L2,V4,M2} R(23,22) { ! cong( X, Y, Z, T ),
% 2.40/2.82 cong( Z, T, Y, X ) }.
% 2.40/2.82 parent0: (17583) {G1,W10,D2,L2,V4,M2} { cong( X, Y, T, Z ), ! cong( Z, T,
% 2.40/2.82 X, Y ) }.
% 2.40/2.82 substitution0:
% 2.40/2.82 X := Z
% 2.40/2.82 Y := T
% 2.40/2.82 Z := X
% 2.40/2.82 T := Y
% 2.40/2.82 end
% 2.40/2.82 permutation0:
% 2.40/2.82 0 ==> 1
% 2.40/2.82 1 ==> 0
% 2.40/2.82 end
% 2.40/2.82
% 2.40/2.82 resolution: (17585) {G1,W15,D2,L3,V6,M3} { ! cong( X, Y, Z, T ), cong( X,
% 2.40/2.82 Y, U, W ), ! cong( U, W, Z, T ) }.
% 2.40/2.82 parent0[1]: (24) {G0,W15,D2,L3,V6,M3} I { ! cong( X, Y, U, W ), ! cong( U,
% 2.40/2.82 W, Z, T ), cong( X, Y, Z, T ) }.
% 2.40/2.82 parent1[1]: (23) {G0,W10,D2,L2,V4,M2} I { ! cong( X, Y, Z, T ), cong( Z, T
% 2.40/2.82 , X, Y ) }.
% 2.40/2.82 substitution0:
% 2.40/2.82 X := X
% 2.40/2.82 Y := Y
% 2.40/2.82 Z := U
% 2.40/2.82 T := W
% 2.40/2.82 U := Z
% 2.40/2.82 W := T
% 2.40/2.82 end
% 2.40/2.82 substitution1:
% 2.40/2.82 X := U
% 2.40/2.82 Y := W
% 2.40/2.82 Z := Z
% 2.40/2.82 T := T
% 2.40/2.82 end
% 2.40/2.82
% 2.40/2.82 subsumption: (508) {G1,W15,D2,L3,V6,M3} R(24,23) { ! cong( X, Y, Z, T ),
% 2.40/2.82 cong( X, Y, U, W ), ! cong( U, W, Z, T ) }.
% 2.40/2.82 parent0: (17585) {G1,W15,D2,L3,V6,M3} { ! cong( X, Y, Z, T ), cong( X, Y,
% 2.40/2.82 U, W ), ! cong( U, W, Z, T ) }.
% 2.40/2.82 substitution0:
% 2.40/2.82 X := X
% 2.40/2.82 Y := Y
% 2.40/2.82 Z := Z
% 2.40/2.82 T := T
% 2.40/2.82 U := U
% 2.40/2.82 W := W
% 2.40/2.82 end
% 2.40/2.82 permutation0:
% 2.40/2.82 0 ==> 0
% 2.40/2.82 1 ==> 1
% 2.40/2.82 2 ==> 2
% 2.40/2.82 end
% 2.40/2.82
% 2.40/2.82 factor: (17588) {G1,W10,D2,L2,V4,M2} { ! cong( X, Y, Z, T ), cong( X, Y, X
% 2.40/2.82 , Y ) }.
% 2.40/2.82 parent0[0, 2]: (508) {G1,W15,D2,L3,V6,M3} R(24,23) { ! cong( X, Y, Z, T ),
% 2.40/2.82 cong( X, Y, U, W ), ! cong( U, W, Z, T ) }.
% 2.40/2.82 substitution0:
% 2.40/2.82 X := X
% 2.40/2.82 Y := Y
% 2.40/2.82 Z := Z
% 2.40/2.82 T := T
% 2.40/2.82 U := X
% 2.40/2.82 W := Y
% 2.40/2.82 end
% 2.40/2.82
% 2.40/2.82 subsumption: (519) {G2,W10,D2,L2,V4,M2} F(508) { ! cong( X, Y, Z, T ), cong
% 2.40/2.82 ( X, Y, X, Y ) }.
% 2.40/2.82 parent0: (17588) {G1,W10,D2,L2,V4,M2} { ! cong( X, Y, Z, T ), cong( X, Y,
% 2.40/2.82 X, Y ) }.
% 2.40/2.82 substitution0:
% 2.40/2.82 X := X
% 2.40/2.82 Y := Y
% 2.40/2.82 Z := Z
% 2.40/2.82 T := T
% 2.40/2.82 end
% 2.40/2.82 permutation0:
% 2.40/2.82 0 ==> 0
% 2.40/2.82 1 ==> 1
% 2.40/2.82 end
% 2.40/2.82
% 2.40/2.82 resolution: (17589) {G1,W5,D2,L1,V0,M1} { ! cyclic( skol20, skol22, skol24
% 2.40/2.82 , skol23 ) }.
% 2.40/2.82 parent0[0]: (378) {G1,W5,D2,L1,V0,M1} R(15,123) { ! cyclic( skol20, skol24
% 2.40/2.82 , skol22, skol23 ) }.
% 2.40/2.82 parent1[1]: (14) {G0,W10,D2,L2,V4,M2} I { ! cyclic( X, Y, Z, T ), cyclic( X
% 2.40/2.82 , Z, Y, T ) }.
% 2.40/2.82 substitution0:
% 2.40/2.82 end
% 2.40/2.82 substitution1:
% 2.40/2.82 X := skol20
% 2.40/2.82 Y := skol22
% 2.40/2.82 Z := skol24
% 2.40/2.82 T := skol23
% 2.40/2.82 end
% 2.40/2.82
% 2.40/2.82 subsumption: (544) {G2,W5,D2,L1,V0,M1} R(378,14) { ! cyclic( skol20, skol22
% 2.40/2.82 , skol24, skol23 ) }.
% 2.40/2.82 parent0: (17589) {G1,W5,D2,L1,V0,M1} { ! cyclic( skol20, skol22, skol24,
% 2.40/2.82 skol23 ) }.
% 2.40/2.82 substitution0:
% 2.40/2.82 end
% 2.40/2.82 permutation0:
% 2.40/2.82 0 ==> 0
% 2.40/2.82 end
% 2.40/2.82
% 2.40/2.82 resolution: (17590) {G1,W5,D2,L1,V0,M1} { ! cyclic( skol22, skol20, skol24
% 2.40/2.82 , skol23 ) }.
% 2.40/2.82 parent0[0]: (544) {G2,W5,D2,L1,V0,M1} R(378,14) { ! cyclic( skol20, skol22
% 2.40/2.82 , skol24, skol23 ) }.
% 2.40/2.82 parent1[1]: (15) {G0,W10,D2,L2,V4,M2} I { ! cyclic( X, Y, Z, T ), cyclic( Y
% 2.40/2.82 , X, Z, T ) }.
% 2.40/2.82 substitution0:
% 2.40/2.82 end
% 2.40/2.82 substitution1:
% 2.40/2.82 X := skol22
% 2.40/2.82 Y := skol20
% 2.40/2.82 Z := skol24
% 2.40/2.82 T := skol23
% 2.40/2.82 end
% 2.40/2.82
% 2.40/2.82 subsumption: (548) {G3,W5,D2,L1,V0,M1} R(544,15) { ! cyclic( skol22, skol20
% 2.40/2.82 , skol24, skol23 ) }.
% 2.40/2.82 parent0: (17590) {G1,W5,D2,L1,V0,M1} { ! cyclic( skol22, skol20, skol24,
% 2.40/2.82 skol23 ) }.
% 2.40/2.82 substitution0:
% 2.40/2.82 end
% 2.40/2.82 permutation0:
% 2.40/2.82 0 ==> 0
% 2.40/2.82 end
% 2.40/2.82
% 2.40/2.82 resolution: (17591) {G1,W5,D2,L1,V0,M1} { ! cyclic( skol22, skol24, skol20
% 2.40/2.82 , skol23 ) }.
% 2.40/2.82 parent0[0]: (548) {G3,W5,D2,L1,V0,M1} R(544,15) { ! cyclic( skol22, skol20
% 2.40/2.82 , skol24, skol23 ) }.
% 2.40/2.82 parent1[1]: (14) {G0,W10,D2,L2,V4,M2} I { ! cyclic( X, Y, Z, T ), cyclic( X
% 2.40/2.82 , Z, Y, T ) }.
% 2.40/2.82 substitution0:
% 2.40/2.82 end
% 2.40/2.82 substitution1:
% 2.40/2.82 X := skol22
% 2.40/2.82 Y := skol24
% 2.40/2.82 Z := skol20
% 2.40/2.82 T := skol23
% 2.40/2.82 end
% 2.40/2.82
% 2.40/2.82 subsumption: (554) {G4,W5,D2,L1,V0,M1} R(548,14) { ! cyclic( skol22, skol24
% 2.40/2.82 , skol20, skol23 ) }.
% 2.40/2.82 parent0: (17591) {G1,W5,D2,L1,V0,M1} { ! cyclic( skol22, skol24, skol20,
% 2.40/2.82 skol23 ) }.
% 2.40/2.82 substitution0:
% 2.40/2.82 end
% 2.40/2.82 permutation0:
% 2.40/2.82 0 ==> 0
% 2.40/2.82 end
% 2.40/2.82
% 2.40/2.82 resolution: (17592) {G1,W5,D2,L1,V0,M1} { ! cyclic( skol22, skol24, skol23
% 2.40/2.82 , skol20 ) }.
% 2.40/2.82 parent0[0]: (554) {G4,W5,D2,L1,V0,M1} R(548,14) { ! cyclic( skol22, skol24
% 2.40/2.82 , skol20, skol23 ) }.
% 2.40/2.82 parent1[1]: (13) {G0,W10,D2,L2,V4,M2} I { ! cyclic( X, Y, Z, T ), cyclic( X
% 2.40/2.82 , Y, T, Z ) }.
% 2.40/2.82 substitution0:
% 2.40/2.82 end
% 2.40/2.82 substitution1:
% 2.40/2.82 X := skol22
% 2.40/2.82 Y := skol24
% 2.40/2.82 Z := skol23
% 2.40/2.82 T := skol20
% 2.40/2.82 end
% 2.40/2.82
% 2.40/2.82 subsumption: (558) {G5,W5,D2,L1,V0,M1} R(554,13) { ! cyclic( skol22, skol24
% 2.40/2.82 , skol23, skol20 ) }.
% 2.40/2.82 parent0: (17592) {G1,W5,D2,L1,V0,M1} { ! cyclic( skol22, skol24, skol23,
% 2.40/2.82 skol20 ) }.
% 2.40/2.82 substitution0:
% 2.40/2.82 end
% 2.40/2.82 permutation0:
% 2.40/2.82 0 ==> 0
% 2.40/2.82 end
% 2.40/2.82
% 2.40/2.82 resolution: (17593) {G1,W5,D2,L1,V0,M1} { ! cyclic( skol24, skol22, skol23
% 2.40/2.82 , skol20 ) }.
% 2.40/2.82 parent0[0]: (558) {G5,W5,D2,L1,V0,M1} R(554,13) { ! cyclic( skol22, skol24
% 2.40/2.82 , skol23, skol20 ) }.
% 2.40/2.82 parent1[1]: (15) {G0,W10,D2,L2,V4,M2} I { ! cyclic( X, Y, Z, T ), cyclic( Y
% 2.40/2.82 , X, Z, T ) }.
% 2.40/2.82 substitution0:
% 2.40/2.82 end
% 2.40/2.82 substitution1:
% 2.40/2.82 X := skol24
% 2.40/2.82 Y := skol22
% 2.40/2.82 Z := skol23
% 2.40/2.82 T := skol20
% 2.40/2.82 end
% 2.40/2.82
% 2.40/2.82 subsumption: (559) {G6,W5,D2,L1,V0,M1} R(558,15) { ! cyclic( skol24, skol22
% 2.40/2.82 , skol23, skol20 ) }.
% 2.40/2.82 parent0: (17593) {G1,W5,D2,L1,V0,M1} { ! cyclic( skol24, skol22, skol23,
% 2.40/2.82 skol20 ) }.
% 2.40/2.82 substitution0:
% 2.40/2.82 end
% 2.40/2.82 permutation0:
% 2.40/2.82 0 ==> 0
% 2.40/2.82 end
% 2.40/2.82
% 2.40/2.82 resolution: (17594) {G1,W5,D2,L1,V0,M1} { ! cyclic( skol24, skol23, skol22
% 2.40/2.82 , skol20 ) }.
% 2.40/2.82 parent0[0]: (559) {G6,W5,D2,L1,V0,M1} R(558,15) { ! cyclic( skol24, skol22
% 2.40/2.82 , skol23, skol20 ) }.
% 2.40/2.82 parent1[1]: (14) {G0,W10,D2,L2,V4,M2} I { ! cyclic( X, Y, Z, T ), cyclic( X
% 2.40/2.82 , Z, Y, T ) }.
% 2.40/2.82 substitution0:
% 2.40/2.82 end
% 2.40/2.82 substitution1:
% 2.40/2.82 X := skol24
% 2.40/2.82 Y := skol23
% 2.40/2.82 Z := skol22
% 2.40/2.82 T := skol20
% 2.40/2.82 end
% 2.40/2.82
% 2.40/2.82 subsumption: (562) {G7,W5,D2,L1,V0,M1} R(559,14) { ! cyclic( skol24, skol23
% 2.40/2.82 , skol22, skol20 ) }.
% 2.40/2.82 parent0: (17594) {G1,W5,D2,L1,V0,M1} { ! cyclic( skol24, skol23, skol22,
% 2.40/2.82 skol20 ) }.
% 2.40/2.82 substitution0:
% 2.40/2.82 end
% 2.40/2.82 permutation0:
% 2.40/2.82 0 ==> 0
% 2.40/2.82 end
% 2.40/2.82
% 2.40/2.82 resolution: (17595) {G1,W5,D2,L1,V0,M1} { ! cyclic( skol23, skol24, skol22
% 2.40/2.82 , skol20 ) }.
% 2.40/2.82 parent0[0]: (562) {G7,W5,D2,L1,V0,M1} R(559,14) { ! cyclic( skol24, skol23
% 2.40/2.82 , skol22, skol20 ) }.
% 2.40/2.82 parent1[1]: (15) {G0,W10,D2,L2,V4,M2} I { ! cyclic( X, Y, Z, T ), cyclic( Y
% 2.40/2.82 , X, Z, T ) }.
% 2.40/2.82 substitution0:
% 2.40/2.82 end
% 2.40/2.82 substitution1:
% 2.40/2.82 X := skol23
% 2.40/2.82 Y := skol24
% 2.40/2.82 Z := skol22
% 2.40/2.82 T := skol20
% 2.40/2.82 end
% 2.40/2.82
% 2.40/2.82 subsumption: (567) {G8,W5,D2,L1,V0,M1} R(562,15) { ! cyclic( skol23, skol24
% 2.40/2.82 , skol22, skol20 ) }.
% 2.40/2.82 parent0: (17595) {G1,W5,D2,L1,V0,M1} { ! cyclic( skol23, skol24, skol22,
% 2.40/2.82 skol20 ) }.
% 2.40/2.82 substitution0:
% 2.40/2.82 end
% 2.40/2.82 permutation0:
% 2.40/2.82 0 ==> 0
% 2.40/2.82 end
% 2.40/2.82
% 2.40/2.82 resolution: (17596) {G1,W5,D2,L1,V0,M1} { ! cyclic( skol23, skol22, skol24
% 2.40/2.82 , skol20 ) }.
% 2.40/2.82 parent0[0]: (567) {G8,W5,D2,L1,V0,M1} R(562,15) { ! cyclic( skol23, skol24
% 2.40/2.82 , skol22, skol20 ) }.
% 2.40/2.82 parent1[1]: (14) {G0,W10,D2,L2,V4,M2} I { ! cyclic( X, Y, Z, T ), cyclic( X
% 2.40/2.82 , Z, Y, T ) }.
% 2.40/2.82 substitution0:
% 2.40/2.82 end
% 2.40/2.82 substitution1:
% 2.40/2.82 X := skol23
% 2.40/2.82 Y := skol22
% 2.40/2.82 Z := skol24
% 2.40/2.82 T := skol20
% 2.40/2.82 end
% 2.40/2.82
% 2.40/2.82 subsumption: (570) {G9,W5,D2,L1,V0,M1} R(567,14) { ! cyclic( skol23, skol22
% 2.40/2.82 , skol24, skol20 ) }.
% 2.40/2.82 parent0: (17596) {G1,W5,D2,L1,V0,M1} { ! cyclic( skol23, skol22, skol24,
% 2.40/2.82 skol20 ) }.
% 2.40/2.82 substitution0:
% 2.40/2.82 end
% 2.40/2.82 permutation0:
% 2.40/2.82 0 ==> 0
% 2.40/2.82 end
% 2.40/2.82
% 2.40/2.82 resolution: (17597) {G1,W5,D2,L1,V0,M1} { ! cyclic( skol23, skol22, skol20
% 2.40/2.82 , skol24 ) }.
% 2.40/2.82 parent0[0]: (570) {G9,W5,D2,L1,V0,M1} R(567,14) { ! cyclic( skol23, skol22
% 2.40/2.82 , skol24, skol20 ) }.
% 2.40/2.82 parent1[1]: (13) {G0,W10,D2,L2,V4,M2} I { ! cyclic( X, Y, Z, T ), cyclic( X
% 2.40/2.82 , Y, T, Z ) }.
% 2.40/2.82 substitution0:
% 2.40/2.82 end
% 2.40/2.82 substitution1:
% 2.40/2.82 X := skol23
% 2.40/2.82 Y := skol22
% 2.40/2.82 Z := skol20
% 2.40/2.82 T := skol24
% 2.40/2.82 end
% 2.40/2.82
% 2.40/2.82 subsumption: (574) {G10,W5,D2,L1,V0,M1} R(570,13) { ! cyclic( skol23,
% 2.40/2.82 skol22, skol20, skol24 ) }.
% 2.40/2.82 parent0: (17597) {G1,W5,D2,L1,V0,M1} { ! cyclic( skol23, skol22, skol20,
% 2.40/2.82 skol24 ) }.
% 2.40/2.82 substitution0:
% 2.40/2.82 end
% 2.40/2.82 permutation0:
% 2.40/2.82 0 ==> 0
% 2.40/2.82 end
% 2.40/2.82
% 2.40/2.82 resolution: (17598) {G1,W5,D2,L1,V0,M1} { ! cyclic( skol23, skol20, skol22
% 2.40/2.82 , skol24 ) }.
% 2.40/2.82 parent0[0]: (574) {G10,W5,D2,L1,V0,M1} R(570,13) { ! cyclic( skol23, skol22
% 2.40/2.82 , skol20, skol24 ) }.
% 2.40/2.82 parent1[1]: (14) {G0,W10,D2,L2,V4,M2} I { ! cyclic( X, Y, Z, T ), cyclic( X
% 2.40/2.82 , Z, Y, T ) }.
% 2.40/2.82 substitution0:
% 2.40/2.82 end
% 2.40/2.82 substitution1:
% 2.40/2.82 X := skol23
% 2.40/2.82 Y := skol20
% 2.40/2.82 Z := skol22
% 2.40/2.82 T := skol24
% 2.40/2.82 end
% 2.40/2.82
% 2.40/2.82 subsumption: (576) {G11,W5,D2,L1,V0,M1} R(574,14) { ! cyclic( skol23,
% 2.40/2.82 skol20, skol22, skol24 ) }.
% 2.40/2.82 parent0: (17598) {G1,W5,D2,L1,V0,M1} { ! cyclic( skol23, skol20, skol22,
% 2.40/2.82 skol24 ) }.
% 2.40/2.82 substitution0:
% 2.40/2.82 end
% 2.40/2.82 permutation0:
% 2.40/2.82 0 ==> 0
% 2.40/2.82 end
% 2.40/2.82
% 2.40/2.82 resolution: (17599) {G1,W5,D2,L1,V0,M1} { ! cyclic( skol20, skol23, skol22
% 2.40/2.82 , skol24 ) }.
% 2.40/2.82 parent0[0]: (576) {G11,W5,D2,L1,V0,M1} R(574,14) { ! cyclic( skol23, skol20
% 2.40/2.82 , skol22, skol24 ) }.
% 2.40/2.82 parent1[1]: (15) {G0,W10,D2,L2,V4,M2} I { ! cyclic( X, Y, Z, T ), cyclic( Y
% 2.40/2.82 , X, Z, T ) }.
% 2.40/2.82 substitution0:
% 2.40/2.82 end
% 2.40/2.82 substitution1:
% 2.40/2.82 X := skol20
% 2.40/2.82 Y := skol23
% 2.40/2.82 Z := skol22
% 2.40/2.82 T := skol24
% 2.40/2.82 end
% 2.40/2.82
% 2.40/2.82 subsumption: (591) {G12,W5,D2,L1,V0,M1} R(576,15) { ! cyclic( skol20,
% 2.40/2.82 skol23, skol22, skol24 ) }.
% 2.40/2.82 parent0: (17599) {G1,W5,D2,L1,V0,M1} { ! cyclic( skol20, skol23, skol22,
% 2.40/2.82 skol24 ) }.
% 2.40/2.82 substitution0:
% 2.40/2.82 end
% 2.40/2.82 permutation0:
% 2.40/2.82 0 ==> 0
% 2.40/2.82 end
% 2.40/2.82
% 2.40/2.82 resolution: (17600) {G1,W10,D2,L2,V1,M2} { ! cyclic( X, skol20, skol23,
% 2.40/2.82 skol22 ), ! cyclic( X, skol20, skol23, skol24 ) }.
% 2.40/2.82 parent0[0]: (591) {G12,W5,D2,L1,V0,M1} R(576,15) { ! cyclic( skol20, skol23
% 2.40/2.82 , skol22, skol24 ) }.
% 2.40/2.82 parent1[2]: (16) {G0,W15,D2,L3,V5,M3} I { ! cyclic( U, X, Y, Z ), ! cyclic
% 2.40/2.82 ( U, X, Y, T ), cyclic( X, Y, Z, T ) }.
% 2.40/2.82 substitution0:
% 2.40/2.82 end
% 2.40/2.82 substitution1:
% 2.40/2.82 X := skol20
% 2.40/2.82 Y := skol23
% 2.40/2.82 Z := skol22
% 2.40/2.82 T := skol24
% 2.40/2.82 U := X
% 2.40/2.82 end
% 2.40/2.82
% 2.40/2.82 subsumption: (593) {G13,W10,D2,L2,V1,M2} R(591,16) { ! cyclic( X, skol20,
% 2.40/2.82 skol23, skol22 ), ! cyclic( X, skol20, skol23, skol24 ) }.
% 2.40/2.82 parent0: (17600) {G1,W10,D2,L2,V1,M2} { ! cyclic( X, skol20, skol23,
% 2.40/2.82 skol22 ), ! cyclic( X, skol20, skol23, skol24 ) }.
% 2.40/2.82 substitution0:
% 2.40/2.82 X := X
% 2.40/2.82 end
% 2.40/2.82 permutation0:
% 2.40/2.82 0 ==> 0
% 2.40/2.82 1 ==> 1
% 2.40/2.82 end
% 2.40/2.82
% 2.40/2.82 resolution: (17602) {G1,W8,D2,L2,V3,M2} { coll( Y, X, X ), ! coll( X, Z, Y
% 2.40/2.82 ) }.
% 2.40/2.82 parent0[0]: (1) {G0,W8,D2,L2,V3,M2} I { ! coll( X, Y, Z ), coll( Y, X, Z )
% 2.40/2.82 }.
% 2.40/2.82 parent1[0]: (281) {G4,W8,D2,L2,V3,M2} F(264) { coll( X, Y, X ), ! coll( X,
% 2.40/2.82 Z, Y ) }.
% 2.40/2.82 substitution0:
% 2.40/2.82 X := X
% 2.40/2.82 Y := Y
% 2.40/2.82 Z := X
% 2.40/2.82 end
% 2.40/2.82 substitution1:
% 2.40/2.82 X := X
% 2.40/2.82 Y := Y
% 2.40/2.82 Z := Z
% 2.40/2.82 end
% 2.40/2.82
% 2.40/2.82 subsumption: (619) {G5,W8,D2,L2,V3,M2} R(281,1) { ! coll( X, Y, Z ), coll(
% 2.40/2.82 Z, X, X ) }.
% 2.40/2.82 parent0: (17602) {G1,W8,D2,L2,V3,M2} { coll( Y, X, X ), ! coll( X, Z, Y )
% 2.40/2.82 }.
% 2.40/2.82 substitution0:
% 2.40/2.82 X := X
% 2.40/2.82 Y := Z
% 2.40/2.82 Z := Y
% 2.40/2.82 end
% 2.40/2.82 permutation0:
% 2.40/2.82 0 ==> 1
% 2.40/2.82 1 ==> 0
% 2.40/2.82 end
% 2.40/2.82
% 2.40/2.82 resolution: (17603) {G1,W8,D2,L2,V3,M2} { coll( Z, X, X ), ! coll( Y, X, Z
% 2.40/2.82 ) }.
% 2.40/2.82 parent0[0]: (619) {G5,W8,D2,L2,V3,M2} R(281,1) { ! coll( X, Y, Z ), coll( Z
% 2.40/2.82 , X, X ) }.
% 2.40/2.82 parent1[1]: (1) {G0,W8,D2,L2,V3,M2} I { ! coll( X, Y, Z ), coll( Y, X, Z )
% 2.40/2.82 }.
% 2.40/2.82 substitution0:
% 2.40/2.82 X := X
% 2.40/2.82 Y := Y
% 2.40/2.82 Z := Z
% 2.40/2.82 end
% 2.40/2.82 substitution1:
% 2.40/2.82 X := Y
% 2.40/2.82 Y := X
% 2.40/2.82 Z := Z
% 2.40/2.82 end
% 2.40/2.82
% 2.40/2.82 subsumption: (624) {G6,W8,D2,L2,V3,M2} R(619,1) { coll( X, Y, Y ), ! coll(
% 2.40/2.82 Z, Y, X ) }.
% 2.40/2.82 parent0: (17603) {G1,W8,D2,L2,V3,M2} { coll( Z, X, X ), ! coll( Y, X, Z )
% 2.40/2.82 }.
% 2.40/2.82 substitution0:
% 2.40/2.82 X := Y
% 2.40/2.82 Y := Z
% 2.40/2.82 Z := X
% 2.40/2.82 end
% 2.40/2.82 permutation0:
% 2.40/2.82 0 ==> 0
% 2.40/2.82 1 ==> 1
% 2.40/2.82 end
% 2.40/2.82
% 2.40/2.82 resolution: (17604) {G1,W8,D2,L2,V3,M2} { coll( Z, X, X ), ! coll( X, Z, Y
% 2.40/2.82 ) }.
% 2.40/2.82 parent0[0]: (619) {G5,W8,D2,L2,V3,M2} R(281,1) { ! coll( X, Y, Z ), coll( Z
% 2.40/2.82 , X, X ) }.
% 2.40/2.82 parent1[1]: (0) {G0,W8,D2,L2,V3,M2} I { ! coll( X, Y, Z ), coll( X, Z, Y )
% 2.40/2.82 }.
% 2.40/2.82 substitution0:
% 2.40/2.82 X := X
% 2.40/2.82 Y := Y
% 2.40/2.82 Z := Z
% 2.40/2.82 end
% 2.40/2.82 substitution1:
% 2.40/2.82 X := X
% 2.40/2.82 Y := Z
% 2.40/2.82 Z := Y
% 2.40/2.82 end
% 2.40/2.82
% 2.40/2.82 subsumption: (625) {G6,W8,D2,L2,V3,M2} R(619,0) { coll( X, Y, Y ), ! coll(
% 2.40/2.82 Y, X, Z ) }.
% 2.40/2.82 parent0: (17604) {G1,W8,D2,L2,V3,M2} { coll( Z, X, X ), ! coll( X, Z, Y )
% 2.40/2.82 }.
% 2.40/2.82 substitution0:
% 2.40/2.82 X := Y
% 2.40/2.82 Y := Z
% 2.40/2.82 Z := X
% 2.40/2.82 end
% 2.40/2.82 permutation0:
% 2.40/2.82 0 ==> 0
% 2.40/2.82 1 ==> 1
% 2.40/2.82 end
% 2.40/2.82
% 2.40/2.82 resolution: (17605) {G7,W8,D2,L2,V3,M2} { coll( X, Y, Y ), ! coll( X, Y, Z
% 2.40/2.82 ) }.
% 2.40/2.82 parent0[1]: (625) {G6,W8,D2,L2,V3,M2} R(619,0) { coll( X, Y, Y ), ! coll( Y
% 2.40/2.82 , X, Z ) }.
% 2.40/2.82 parent1[0]: (625) {G6,W8,D2,L2,V3,M2} R(619,0) { coll( X, Y, Y ), ! coll( Y
% 2.40/2.82 , X, Z ) }.
% 2.40/2.82 substitution0:
% 2.40/2.82 X := X
% 2.40/2.82 Y := Y
% 2.40/2.82 Z := X
% 2.40/2.82 end
% 2.40/2.82 substitution1:
% 2.40/2.82 X := Y
% 2.40/2.82 Y := X
% 2.40/2.82 Z := Z
% 2.40/2.82 end
% 2.40/2.82
% 2.40/2.82 subsumption: (629) {G7,W8,D2,L2,V3,M2} R(625,625) { ! coll( X, Y, Z ), coll
% 2.40/2.82 ( X, Y, Y ) }.
% 2.40/2.82 parent0: (17605) {G7,W8,D2,L2,V3,M2} { coll( X, Y, Y ), ! coll( X, Y, Z )
% 2.40/2.82 }.
% 2.40/2.82 substitution0:
% 2.40/2.82 X := X
% 2.40/2.82 Y := Y
% 2.40/2.82 Z := Z
% 2.40/2.82 end
% 2.40/2.82 permutation0:
% 2.40/2.82 0 ==> 1
% 2.40/2.82 1 ==> 0
% 2.40/2.82 end
% 2.40/2.82
% 2.40/2.82 resolution: (17609) {G1,W12,D2,L3,V4,M3} { ! coll( X, Y, Z ), coll( Z, Y,
% 2.40/2.82 X ), ! coll( X, Y, T ) }.
% 2.40/2.82 parent0[1]: (2) {G0,W12,D2,L3,V4,M3} I { ! coll( X, T, Y ), ! coll( X, T, Z
% 2.40/2.82 ), coll( Y, Z, X ) }.
% 2.40/2.82 parent1[1]: (629) {G7,W8,D2,L2,V3,M2} R(625,625) { ! coll( X, Y, Z ), coll
% 2.40/2.82 ( X, Y, Y ) }.
% 2.40/2.82 substitution0:
% 2.40/2.82 X := X
% 2.40/2.82 Y := Z
% 2.40/2.82 Z := Y
% 2.40/2.82 T := Y
% 2.40/2.82 end
% 2.40/2.82 substitution1:
% 2.40/2.82 X := X
% 2.40/2.82 Y := Y
% 2.40/2.82 Z := T
% 2.40/2.82 end
% 2.40/2.82
% 2.40/2.82 subsumption: (632) {G8,W12,D2,L3,V4,M3} R(629,2) { ! coll( X, Y, Z ), !
% 2.40/2.82 coll( X, Y, T ), coll( T, Y, X ) }.
% 2.40/2.82 parent0: (17609) {G1,W12,D2,L3,V4,M3} { ! coll( X, Y, Z ), coll( Z, Y, X )
% 2.40/2.82 , ! coll( X, Y, T ) }.
% 2.40/2.82 substitution0:
% 2.40/2.82 X := X
% 2.40/2.82 Y := Y
% 2.40/2.82 Z := T
% 2.40/2.82 T := Z
% 2.40/2.82 end
% 2.40/2.82 permutation0:
% 2.40/2.82 0 ==> 1
% 2.40/2.82 1 ==> 2
% 2.40/2.82 2 ==> 0
% 2.40/2.82 end
% 2.40/2.82
% 2.40/2.82 factor: (17612) {G8,W8,D2,L2,V3,M2} { ! coll( X, Y, Z ), coll( Z, Y, X )
% 2.40/2.82 }.
% 2.40/2.82 parent0[0, 1]: (632) {G8,W12,D2,L3,V4,M3} R(629,2) { ! coll( X, Y, Z ), !
% 2.40/2.82 coll( X, Y, T ), coll( T, Y, X ) }.
% 2.40/2.82 substitution0:
% 2.40/2.82 X := X
% 2.40/2.82 Y := Y
% 2.40/2.82 Z := Z
% 2.40/2.82 T := Z
% 2.40/2.82 end
% 2.40/2.82
% 2.40/2.82 subsumption: (633) {G9,W8,D2,L2,V3,M2} F(632) { ! coll( X, Y, Z ), coll( Z
% 2.40/2.82 , Y, X ) }.
% 2.40/2.82 parent0: (17612) {G8,W8,D2,L2,V3,M2} { ! coll( X, Y, Z ), coll( Z, Y, X )
% 2.40/2.82 }.
% 2.40/2.82 substitution0:
% 2.40/2.82 X := X
% 2.40/2.82 Y := Y
% 2.40/2.82 Z := Z
% 2.40/2.82 end
% 2.40/2.82 permutation0:
% 2.40/2.82 0 ==> 0
% 2.40/2.82 1 ==> 1
% 2.40/2.82 end
% 2.40/2.82
% 2.40/2.82 resolution: (17613) {G7,W8,D2,L2,V3,M2} { coll( Y, Y, X ), ! coll( Z, Y, X
% 2.40/2.82 ) }.
% 2.40/2.82 parent0[0]: (633) {G9,W8,D2,L2,V3,M2} F(632) { ! coll( X, Y, Z ), coll( Z,
% 2.40/2.82 Y, X ) }.
% 2.40/2.82 parent1[0]: (624) {G6,W8,D2,L2,V3,M2} R(619,1) { coll( X, Y, Y ), ! coll( Z
% 2.40/2.82 , Y, X ) }.
% 2.40/2.82 substitution0:
% 2.40/2.82 X := X
% 2.40/2.82 Y := Y
% 2.40/2.82 Z := Y
% 2.40/2.82 end
% 2.40/2.82 substitution1:
% 2.40/2.82 X := X
% 2.40/2.82 Y := Y
% 2.40/2.82 Z := Z
% 2.40/2.82 end
% 2.40/2.82
% 2.40/2.82 subsumption: (637) {G10,W8,D2,L2,V3,M2} R(633,624) { coll( X, X, Y ), !
% 2.40/2.82 coll( Z, X, Y ) }.
% 2.40/2.82 parent0: (17613) {G7,W8,D2,L2,V3,M2} { coll( Y, Y, X ), ! coll( Z, Y, X )
% 2.40/2.82 }.
% 2.40/2.82 substitution0:
% 2.40/2.82 X := Y
% 2.40/2.82 Y := X
% 2.40/2.82 Z := Z
% 2.40/2.82 end
% 2.40/2.82 permutation0:
% 2.40/2.82 0 ==> 0
% 2.40/2.82 1 ==> 1
% 2.40/2.82 end
% 2.40/2.82
% 2.40/2.82 resolution: (17614) {G1,W8,D2,L2,V3,M2} { coll( X, Y, Z ), ! midp( Y, Z, X
% 2.40/2.82 ) }.
% 2.40/2.82 parent0[1]: (169) {G1,W8,D2,L2,V3,M2} R(1,0) { coll( X, Y, Z ), ! coll( Y,
% 2.40/2.82 Z, X ) }.
% 2.40/2.82 parent1[1]: (69) {G0,W8,D2,L2,V3,M2} I { ! midp( X, Y, Z ), coll( X, Y, Z )
% 2.40/2.82 }.
% 2.40/2.82 substitution0:
% 2.40/2.82 X := X
% 2.40/2.82 Y := Y
% 2.40/2.82 Z := Z
% 2.40/2.82 end
% 2.40/2.82 substitution1:
% 2.40/2.82 X := Y
% 2.40/2.82 Y := Z
% 2.40/2.82 Z := X
% 2.40/2.82 end
% 2.40/2.82
% 2.40/2.82 subsumption: (678) {G2,W8,D2,L2,V3,M2} R(69,169) { ! midp( X, Y, Z ), coll
% 2.40/2.82 ( Z, X, Y ) }.
% 2.40/2.82 parent0: (17614) {G1,W8,D2,L2,V3,M2} { coll( X, Y, Z ), ! midp( Y, Z, X )
% 2.40/2.82 }.
% 2.40/2.82 substitution0:
% 2.40/2.82 X := Z
% 2.40/2.82 Y := X
% 2.40/2.82 Z := Y
% 2.40/2.82 end
% 2.40/2.82 permutation0:
% 2.40/2.82 0 ==> 1
% 2.40/2.82 1 ==> 0
% 2.40/2.82 end
% 2.40/2.82
% 2.40/2.82 resolution: (17615) {G1,W8,D2,L2,V3,M2} { coll( X, X, Y ), ! midp( Z, X, Y
% 2.40/2.82 ) }.
% 2.40/2.82 parent0[1]: (637) {G10,W8,D2,L2,V3,M2} R(633,624) { coll( X, X, Y ), ! coll
% 2.40/2.82 ( Z, X, Y ) }.
% 2.40/2.82 parent1[1]: (69) {G0,W8,D2,L2,V3,M2} I { ! midp( X, Y, Z ), coll( X, Y, Z )
% 2.40/2.82 }.
% 2.40/2.82 substitution0:
% 2.40/2.82 X := X
% 2.40/2.82 Y := Y
% 2.40/2.82 Z := Z
% 2.40/2.82 end
% 2.40/2.82 substitution1:
% 2.40/2.82 X := Z
% 2.40/2.82 Y := X
% 2.40/2.82 Z := Y
% 2.40/2.82 end
% 2.40/2.82
% 2.40/2.82 subsumption: (685) {G11,W8,D2,L2,V3,M2} R(69,637) { ! midp( X, Y, Z ), coll
% 2.40/2.82 ( Y, Y, Z ) }.
% 2.40/2.82 parent0: (17615) {G1,W8,D2,L2,V3,M2} { coll( X, X, Y ), ! midp( Z, X, Y )
% 2.40/2.82 }.
% 2.40/2.82 substitution0:
% 2.40/2.82 X := Y
% 2.40/2.82 Y := Z
% 2.40/2.82 Z := X
% 2.40/2.82 end
% 2.40/2.82 permutation0:
% 2.40/2.82 0 ==> 1
% 2.40/2.82 1 ==> 0
% 2.40/2.82 end
% 2.40/2.82
% 2.40/2.82 resolution: (17616) {G1,W4,D2,L1,V0,M1} { coll( skol28, skol22, skol25 )
% 2.40/2.82 }.
% 2.40/2.82 parent0[0]: (69) {G0,W8,D2,L2,V3,M2} I { ! midp( X, Y, Z ), coll( X, Y, Z )
% 2.40/2.82 }.
% 2.40/2.82 parent1[0]: (118) {G0,W4,D2,L1,V0,M1} I { midp( skol28, skol22, skol25 )
% 2.40/2.82 }.
% 2.40/2.82 substitution0:
% 2.40/2.82 X := skol28
% 2.40/2.82 Y := skol22
% 2.40/2.82 Z := skol25
% 2.40/2.82 end
% 2.40/2.82 substitution1:
% 2.40/2.82 end
% 2.40/2.82
% 2.40/2.82 subsumption: (707) {G1,W4,D2,L1,V0,M1} R(69,118) { coll( skol28, skol22,
% 2.40/2.82 skol25 ) }.
% 2.40/2.82 parent0: (17616) {G1,W4,D2,L1,V0,M1} { coll( skol28, skol22, skol25 ) }.
% 2.40/2.82 substitution0:
% 2.40/2.82 end
% 2.40/2.82 permutation0:
% 2.40/2.82 0 ==> 0
% 2.40/2.82 end
% 2.40/2.82
% 2.40/2.82 resolution: (17617) {G1,W8,D2,L2,V1,M2} { ! coll( skol28, skol22, X ),
% 2.40/2.82 coll( skol25, X, skol28 ) }.
% 2.40/2.82 parent0[0]: (2) {G0,W12,D2,L3,V4,M3} I { ! coll( X, T, Y ), ! coll( X, T, Z
% 2.40/2.82 ), coll( Y, Z, X ) }.
% 2.40/2.82 parent1[0]: (707) {G1,W4,D2,L1,V0,M1} R(69,118) { coll( skol28, skol22,
% 2.40/2.82 skol25 ) }.
% 2.40/2.82 substitution0:
% 2.40/2.82 X := skol28
% 2.40/2.82 Y := skol25
% 2.40/2.82 Z := X
% 2.40/2.82 T := skol22
% 2.40/2.82 end
% 2.40/2.82 substitution1:
% 2.40/2.82 end
% 2.40/2.82
% 2.40/2.82 subsumption: (1256) {G2,W8,D2,L2,V1,M2} R(707,2) { ! coll( skol28, skol22,
% 2.40/2.82 X ), coll( skol25, X, skol28 ) }.
% 2.40/2.82 parent0: (17617) {G1,W8,D2,L2,V1,M2} { ! coll( skol28, skol22, X ), coll(
% 2.40/2.82 skol25, X, skol28 ) }.
% 2.40/2.82 substitution0:
% 2.40/2.82 X := X
% 2.40/2.82 end
% 2.40/2.82 permutation0:
% 2.40/2.82 0 ==> 0
% 2.40/2.82 1 ==> 1
% 2.40/2.82 end
% 2.40/2.82
% 2.40/2.82 resolution: (17619) {G2,W8,D2,L2,V1,M2} { coll( skol25, X, skol28 ), !
% 2.40/2.82 coll( X, skol28, skol22 ) }.
% 2.40/2.82 parent0[0]: (1256) {G2,W8,D2,L2,V1,M2} R(707,2) { ! coll( skol28, skol22, X
% 2.40/2.82 ), coll( skol25, X, skol28 ) }.
% 2.40/2.82 parent1[1]: (170) {G1,W8,D2,L2,V3,M2} R(1,0) { ! coll( X, Y, Z ), coll( Y,
% 2.40/2.82 Z, X ) }.
% 2.40/2.82 substitution0:
% 2.40/2.82 X := X
% 2.40/2.82 end
% 2.40/2.82 substitution1:
% 2.40/2.82 X := X
% 2.40/2.82 Y := skol28
% 2.40/2.82 Z := skol22
% 2.40/2.82 end
% 2.40/2.82
% 2.40/2.82 subsumption: (1611) {G3,W8,D2,L2,V1,M2} R(1256,170) { coll( skol25, X,
% 2.40/2.82 skol28 ), ! coll( X, skol28, skol22 ) }.
% 2.40/2.82 parent0: (17619) {G2,W8,D2,L2,V1,M2} { coll( skol25, X, skol28 ), ! coll(
% 2.40/2.82 X, skol28, skol22 ) }.
% 2.40/2.82 substitution0:
% 2.40/2.82 X := X
% 2.40/2.82 end
% 2.40/2.82 permutation0:
% 2.40/2.82 0 ==> 0
% 2.40/2.82 1 ==> 1
% 2.40/2.82 end
% 2.40/2.82
% 2.40/2.82 resolution: (17620) {G1,W5,D2,L1,V0,M1} { cong( skol27, skol25, skol27,
% 2.40/2.82 skol20 ) }.
% 2.40/2.82 parent0[0]: (68) {G0,W9,D2,L2,V3,M2} I { ! midp( X, Y, Z ), cong( X, Y, X,
% 2.40/2.82 Z ) }.
% 2.40/2.82 parent1[0]: (331) {G1,W4,D2,L1,V0,M1} R(10,117) { midp( skol27, skol25,
% 2.40/2.82 skol20 ) }.
% 2.40/2.82 substitution0:
% 2.40/2.82 X := skol27
% 2.40/2.82 Y := skol25
% 2.40/2.82 Z := skol20
% 2.40/2.82 end
% 2.40/2.82 substitution1:
% 2.40/2.82 end
% 2.40/2.82
% 2.40/2.82 subsumption: (2503) {G2,W5,D2,L1,V0,M1} R(68,331) { cong( skol27, skol25,
% 2.40/2.82 skol27, skol20 ) }.
% 2.40/2.82 parent0: (17620) {G1,W5,D2,L1,V0,M1} { cong( skol27, skol25, skol27,
% 2.40/2.82 skol20 ) }.
% 2.40/2.82 substitution0:
% 2.40/2.82 end
% 2.40/2.82 permutation0:
% 2.40/2.82 0 ==> 0
% 2.40/2.82 end
% 2.40/2.82
% 2.40/2.82 resolution: (17621) {G1,W5,D2,L1,V0,M1} { cong( skol27, skol20, skol27,
% 2.40/2.82 skol25 ) }.
% 2.40/2.82 parent0[0]: (68) {G0,W9,D2,L2,V3,M2} I { ! midp( X, Y, Z ), cong( X, Y, X,
% 2.40/2.82 Z ) }.
% 2.40/2.82 parent1[0]: (117) {G0,W4,D2,L1,V0,M1} I { midp( skol27, skol20, skol25 )
% 2.40/2.82 }.
% 2.40/2.82 substitution0:
% 2.40/2.82 X := skol27
% 2.40/2.82 Y := skol20
% 2.40/2.82 Z := skol25
% 2.40/2.82 end
% 2.40/2.82 substitution1:
% 2.40/2.82 end
% 2.40/2.82
% 2.40/2.82 subsumption: (2504) {G1,W5,D2,L1,V0,M1} R(68,117) { cong( skol27, skol20,
% 2.40/2.82 skol27, skol25 ) }.
% 2.40/2.82 parent0: (17621) {G1,W5,D2,L1,V0,M1} { cong( skol27, skol20, skol27,
% 2.40/2.82 skol25 ) }.
% 2.40/2.82 substitution0:
% 2.40/2.82 end
% 2.40/2.82 permutation0:
% 2.40/2.82 0 ==> 0
% 2.40/2.82 end
% 2.40/2.82
% 2.40/2.82 resolution: (17623) {G2,W8,D2,L2,V1,M2} { coll( X, skol28, skol25 ), !
% 2.40/2.82 coll( X, skol28, skol22 ) }.
% 2.40/2.82 parent0[0]: (170) {G1,W8,D2,L2,V3,M2} R(1,0) { ! coll( X, Y, Z ), coll( Y,
% 2.40/2.82 Z, X ) }.
% 2.40/2.82 parent1[0]: (1611) {G3,W8,D2,L2,V1,M2} R(1256,170) { coll( skol25, X,
% 2.40/2.82 skol28 ), ! coll( X, skol28, skol22 ) }.
% 2.40/2.82 substitution0:
% 2.40/2.82 X := skol25
% 2.40/2.82 Y := X
% 2.40/2.82 Z := skol28
% 2.40/2.82 end
% 2.40/2.82 substitution1:
% 2.40/2.82 X := X
% 2.40/2.82 end
% 2.40/2.82
% 2.40/2.82 subsumption: (2945) {G4,W8,D2,L2,V1,M2} R(1611,170) { ! coll( X, skol28,
% 2.40/2.82 skol22 ), coll( X, skol28, skol25 ) }.
% 2.40/2.82 parent0: (17623) {G2,W8,D2,L2,V1,M2} { coll( X, skol28, skol25 ), ! coll(
% 2.40/2.82 X, skol28, skol22 ) }.
% 2.40/2.82 substitution0:
% 2.40/2.82 X := X
% 2.40/2.82 end
% 2.40/2.82 permutation0:
% 2.40/2.82 0 ==> 1
% 2.40/2.82 1 ==> 0
% 2.40/2.82 end
% 2.40/2.82
% 2.40/2.82 resolution: (17626) {G1,W12,D2,L3,V2,M3} { ! coll( X, skol28, Y ), coll(
% 2.40/2.82 skol25, Y, X ), ! coll( X, skol28, skol22 ) }.
% 2.40/2.82 parent0[0]: (2) {G0,W12,D2,L3,V4,M3} I { ! coll( X, T, Y ), ! coll( X, T, Z
% 2.40/2.82 ), coll( Y, Z, X ) }.
% 2.40/2.82 parent1[1]: (2945) {G4,W8,D2,L2,V1,M2} R(1611,170) { ! coll( X, skol28,
% 2.40/2.82 skol22 ), coll( X, skol28, skol25 ) }.
% 2.40/2.82 substitution0:
% 2.40/2.82 X := X
% 2.40/2.82 Y := skol25
% 2.40/2.82 Z := Y
% 2.40/2.82 T := skol28
% 2.40/2.82 end
% 2.40/2.82 substitution1:
% 2.40/2.82 X := X
% 2.40/2.82 end
% 2.40/2.82
% 2.40/2.82 subsumption: (2965) {G5,W12,D2,L3,V2,M3} R(2945,2) { ! coll( X, skol28,
% 2.40/2.82 skol22 ), ! coll( X, skol28, Y ), coll( skol25, Y, X ) }.
% 2.40/2.82 parent0: (17626) {G1,W12,D2,L3,V2,M3} { ! coll( X, skol28, Y ), coll(
% 2.40/2.82 skol25, Y, X ), ! coll( X, skol28, skol22 ) }.
% 2.40/2.82 substitution0:
% 2.40/2.82 X := X
% 2.40/2.82 Y := Y
% 2.40/2.82 end
% 2.40/2.82 permutation0:
% 2.40/2.82 0 ==> 1
% 2.40/2.82 1 ==> 2
% 2.40/2.82 2 ==> 0
% 2.40/2.82 end
% 2.40/2.82
% 2.40/2.82 factor: (17630) {G5,W8,D2,L2,V1,M2} { ! coll( X, skol28, skol22 ), coll(
% 2.40/2.82 skol25, skol22, X ) }.
% 2.40/2.82 parent0[0, 1]: (2965) {G5,W12,D2,L3,V2,M3} R(2945,2) { ! coll( X, skol28,
% 2.40/2.82 skol22 ), ! coll( X, skol28, Y ), coll( skol25, Y, X ) }.
% 2.40/2.82 substitution0:
% 2.40/2.82 X := X
% 2.40/2.82 Y := skol22
% 2.40/2.82 end
% 2.40/2.82
% 2.40/2.82 subsumption: (2970) {G6,W8,D2,L2,V1,M2} F(2965) { ! coll( X, skol28, skol22
% 2.40/2.82 ), coll( skol25, skol22, X ) }.
% 2.40/2.82 parent0: (17630) {G5,W8,D2,L2,V1,M2} { ! coll( X, skol28, skol22 ), coll(
% 2.40/2.82 skol25, skol22, X ) }.
% 2.40/2.82 substitution0:
% 2.40/2.82 X := X
% 2.40/2.82 end
% 2.40/2.82 permutation0:
% 2.40/2.82 0 ==> 0
% 2.40/2.82 1 ==> 1
% 2.40/2.82 end
% 2.40/2.82
% 2.40/2.82 resolution: (17631) {G3,W8,D2,L2,V1,M2} { coll( skol25, skol22, X ), !
% 2.40/2.82 midp( skol28, skol22, X ) }.
% 2.40/2.82 parent0[0]: (2970) {G6,W8,D2,L2,V1,M2} F(2965) { ! coll( X, skol28, skol22
% 2.40/2.82 ), coll( skol25, skol22, X ) }.
% 2.40/2.82 parent1[1]: (678) {G2,W8,D2,L2,V3,M2} R(69,169) { ! midp( X, Y, Z ), coll(
% 2.40/2.82 Z, X, Y ) }.
% 2.40/2.82 substitution0:
% 2.40/2.82 X := X
% 2.40/2.82 end
% 2.40/2.82 substitution1:
% 2.40/2.82 X := skol28
% 2.40/2.82 Y := skol22
% 2.40/2.82 Z := X
% 2.40/2.82 end
% 2.40/2.82
% 2.40/2.82 subsumption: (3658) {G7,W8,D2,L2,V1,M2} R(2970,678) { coll( skol25, skol22
% 2.40/2.82 , X ), ! midp( skol28, skol22, X ) }.
% 2.40/2.82 parent0: (17631) {G3,W8,D2,L2,V1,M2} { coll( skol25, skol22, X ), ! midp(
% 2.40/2.82 skol28, skol22, X ) }.
% 2.40/2.82 substitution0:
% 2.40/2.82 X := X
% 2.40/2.82 end
% 2.40/2.82 permutation0:
% 2.40/2.82 0 ==> 0
% 2.40/2.82 1 ==> 1
% 2.40/2.82 end
% 2.40/2.82
% 2.40/2.82 resolution: (17632) {G2,W5,D2,L1,V0,M1} { circle( skol27, skol25, skol20,
% 2.40/2.82 skol20 ) }.
% 2.40/2.82 parent0[0]: (126) {G1,W10,D2,L2,V3,M2} F(11) { ! cong( X, Y, X, Z ), circle
% 2.40/2.82 ( X, Y, Z, Z ) }.
% 2.40/2.82 parent1[0]: (2503) {G2,W5,D2,L1,V0,M1} R(68,331) { cong( skol27, skol25,
% 2.40/2.82 skol27, skol20 ) }.
% 2.40/2.82 substitution0:
% 2.40/2.82 X := skol27
% 2.40/2.82 Y := skol25
% 2.40/2.82 Z := skol20
% 2.40/2.82 end
% 2.40/2.82 substitution1:
% 2.40/2.82 end
% 2.40/2.82
% 2.40/2.82 subsumption: (7081) {G3,W5,D2,L1,V0,M1} R(126,2503) { circle( skol27,
% 2.40/2.82 skol25, skol20, skol20 ) }.
% 2.40/2.82 parent0: (17632) {G2,W5,D2,L1,V0,M1} { circle( skol27, skol25, skol20,
% 2.40/2.82 skol20 ) }.
% 2.40/2.82 substitution0:
% 2.40/2.82 end
% 2.40/2.82 permutation0:
% 2.40/2.82 0 ==> 0
% 2.40/2.82 end
% 2.40/2.82
% 2.40/2.82 resolution: (17633) {G2,W5,D2,L1,V0,M1} { para( skol27, skol27, skol20,
% 2.40/2.82 skol20 ) }.
% 2.40/2.82 parent0[0]: (135) {G1,W9,D2,L2,V3,M2} F(44) { ! midp( X, Y, Z ), para( X, X
% 2.40/2.82 , Z, Z ) }.
% 2.40/2.82 parent1[0]: (331) {G1,W4,D2,L1,V0,M1} R(10,117) { midp( skol27, skol25,
% 2.40/2.82 skol20 ) }.
% 2.40/2.82 substitution0:
% 2.40/2.82 X := skol27
% 2.40/2.82 Y := skol25
% 2.40/2.82 Z := skol20
% 2.40/2.82 end
% 2.40/2.82 substitution1:
% 2.40/2.82 end
% 2.40/2.82
% 2.40/2.82 subsumption: (7374) {G2,W5,D2,L1,V0,M1} R(135,331) { para( skol27, skol27,
% 2.40/2.82 skol20, skol20 ) }.
% 2.40/2.82 parent0: (17633) {G2,W5,D2,L1,V0,M1} { para( skol27, skol27, skol20,
% 2.40/2.82 skol20 ) }.
% 2.40/2.82 substitution0:
% 2.40/2.82 end
% 2.40/2.82 permutation0:
% 2.40/2.82 0 ==> 0
% 2.40/2.82 end
% 2.40/2.82
% 2.40/2.82 resolution: (17634) {G1,W5,D2,L1,V0,M1} { para( skol20, skol20, skol27,
% 2.40/2.82 skol27 ) }.
% 2.40/2.82 parent0[0]: (4) {G0,W10,D2,L2,V4,M2} I { ! para( X, Y, Z, T ), para( Z, T,
% 2.40/2.82 X, Y ) }.
% 2.40/2.82 parent1[0]: (7374) {G2,W5,D2,L1,V0,M1} R(135,331) { para( skol27, skol27,
% 2.40/2.82 skol20, skol20 ) }.
% 2.40/2.82 substitution0:
% 2.40/2.82 X := skol27
% 2.40/2.82 Y := skol27
% 2.40/2.82 Z := skol20
% 2.40/2.82 T := skol20
% 2.40/2.82 end
% 2.40/2.82 substitution1:
% 2.40/2.82 end
% 2.40/2.82
% 2.40/2.82 subsumption: (7400) {G3,W5,D2,L1,V0,M1} R(7374,4) { para( skol20, skol20,
% 2.40/2.82 skol27, skol27 ) }.
% 2.40/2.82 parent0: (17634) {G1,W5,D2,L1,V0,M1} { para( skol20, skol20, skol27,
% 2.40/2.82 skol27 ) }.
% 2.40/2.82 substitution0:
% 2.40/2.82 end
% 2.40/2.82 permutation0:
% 2.40/2.82 0 ==> 0
% 2.40/2.82 end
% 2.40/2.82
% 2.40/2.82 resolution: (17635) {G1,W9,D2,L1,V2,M1} { eqangle( skol20, skol20, X, Y,
% 2.40/2.82 skol27, skol27, X, Y ) }.
% 2.40/2.82 parent0[0]: (39) {G0,W14,D2,L2,V6,M2} I { ! para( X, Y, Z, T ), eqangle( X
% 2.40/2.82 , Y, U, W, Z, T, U, W ) }.
% 2.40/2.82 parent1[0]: (7400) {G3,W5,D2,L1,V0,M1} R(7374,4) { para( skol20, skol20,
% 2.40/2.82 skol27, skol27 ) }.
% 2.40/2.82 substitution0:
% 2.40/2.82 X := skol20
% 2.40/2.82 Y := skol20
% 2.40/2.82 Z := skol27
% 2.40/2.82 T := skol27
% 2.40/2.82 U := X
% 2.40/2.82 W := Y
% 2.40/2.82 end
% 2.40/2.82 substitution1:
% 2.40/2.82 end
% 2.40/2.82
% 2.40/2.82 subsumption: (7404) {G4,W9,D2,L1,V2,M1} R(7400,39) { eqangle( skol20,
% 2.40/2.82 skol20, X, Y, skol27, skol27, X, Y ) }.
% 2.40/2.82 parent0: (17635) {G1,W9,D2,L1,V2,M1} { eqangle( skol20, skol20, X, Y,
% 2.40/2.82 skol27, skol27, X, Y ) }.
% 2.40/2.82 substitution0:
% 2.40/2.82 X := X
% 2.40/2.82 Y := Y
% 2.40/2.82 end
% 2.40/2.82 permutation0:
% 2.40/2.82 0 ==> 0
% 2.40/2.82 end
% 2.40/2.82
% 2.40/2.82 resolution: (17636) {G1,W7,D3,L1,V0,M1} { perp( skol12( skol25, skol27 ),
% 2.40/2.82 skol25, skol25, skol27 ) }.
% 2.40/2.82 parent0[0]: (100) {G0,W12,D3,L2,V4,M2} I { ! circle( Y, X, Z, T ), perp(
% 2.40/2.82 skol12( X, Y ), X, X, Y ) }.
% 2.40/2.82 parent1[0]: (7081) {G3,W5,D2,L1,V0,M1} R(126,2503) { circle( skol27, skol25
% 2.40/2.82 , skol20, skol20 ) }.
% 2.40/2.82 substitution0:
% 2.40/2.82 X := skol25
% 2.40/2.82 Y := skol27
% 2.40/2.82 Z := skol20
% 2.40/2.82 T := skol20
% 2.40/2.82 end
% 2.40/2.82 substitution1:
% 2.40/2.82 end
% 2.40/2.82
% 2.40/2.82 subsumption: (7885) {G4,W7,D3,L1,V0,M1} R(7081,100) { perp( skol12( skol25
% 2.40/2.82 , skol27 ), skol25, skol25, skol27 ) }.
% 2.40/2.82 parent0: (17636) {G1,W7,D3,L1,V0,M1} { perp( skol12( skol25, skol27 ),
% 2.40/2.82 skol25, skol25, skol27 ) }.
% 2.40/2.82 substitution0:
% 2.40/2.82 end
% 2.40/2.82 permutation0:
% 2.40/2.82 0 ==> 0
% 2.40/2.82 end
% 2.40/2.82
% 2.40/2.82 resolution: (17637) {G2,W18,D3,L4,V2,M4} { ! midp( X, skol22, skol25 ), !
% 2.40/2.82 coll( skol22, skol22, skol25 ), midp( skol7( skol22, Y ), skol22, Y ), !
% 2.40/2.82 midp( skol28, skol22, skol25 ) }.
% 2.40/2.82 parent0[2]: (146) {G1,W18,D3,L4,V4,M4} F(88) { ! midp( X, Y, Z ), ! coll( Y
% 2.40/2.82 , Y, Z ), ! coll( Z, Y, Z ), midp( skol7( Y, T ), Y, T ) }.
% 2.40/2.82 parent1[0]: (3658) {G7,W8,D2,L2,V1,M2} R(2970,678) { coll( skol25, skol22,
% 2.40/2.82 X ), ! midp( skol28, skol22, X ) }.
% 2.40/2.82 substitution0:
% 2.40/2.82 X := X
% 2.40/2.82 Y := skol22
% 2.40/2.82 Z := skol25
% 2.40/2.82 T := Y
% 2.40/2.82 end
% 2.40/2.82 substitution1:
% 2.40/2.82 X := skol25
% 2.40/2.82 end
% 2.40/2.82
% 2.40/2.82 resolution: (17640) {G3,W14,D3,L3,V2,M3} { ! midp( X, skol22, skol25 ),
% 2.40/2.82 midp( skol7( skol22, Y ), skol22, Y ), ! midp( skol28, skol22, skol25 )
% 2.40/2.82 }.
% 2.40/2.82 parent0[1]: (17637) {G2,W18,D3,L4,V2,M4} { ! midp( X, skol22, skol25 ), !
% 2.40/2.82 coll( skol22, skol22, skol25 ), midp( skol7( skol22, Y ), skol22, Y ), !
% 2.40/2.82 midp( skol28, skol22, skol25 ) }.
% 2.40/2.82 parent1[0]: (312) {G4,W4,D2,L1,V0,M1} R(254,0) { coll( skol22, skol22,
% 2.40/2.82 skol25 ) }.
% 2.40/2.82 substitution0:
% 2.40/2.82 X := X
% 2.40/2.82 Y := Y
% 2.40/2.82 end
% 2.40/2.82 substitution1:
% 2.40/2.82 end
% 2.40/2.82
% 2.40/2.82 subsumption: (7935) {G8,W14,D3,L3,V2,M3} R(146,3658);r(312) { ! midp( X,
% 2.40/2.82 skol22, skol25 ), midp( skol7( skol22, Y ), skol22, Y ), ! midp( skol28,
% 2.40/2.82 skol22, skol25 ) }.
% 2.40/2.82 parent0: (17640) {G3,W14,D3,L3,V2,M3} { ! midp( X, skol22, skol25 ), midp
% 2.40/2.82 ( skol7( skol22, Y ), skol22, Y ), ! midp( skol28, skol22, skol25 ) }.
% 2.40/2.82 substitution0:
% 2.40/2.82 X := X
% 2.40/2.82 Y := Y
% 2.40/2.82 end
% 2.40/2.82 permutation0:
% 2.40/2.82 0 ==> 0
% 2.40/2.82 1 ==> 1
% 2.40/2.82 2 ==> 2
% 2.40/2.82 end
% 2.40/2.82
% 2.40/2.82 factor: (17642) {G8,W10,D3,L2,V1,M2} { ! midp( skol28, skol22, skol25 ),
% 2.40/2.82 midp( skol7( skol22, X ), skol22, X ) }.
% 2.40/2.82 parent0[0, 2]: (7935) {G8,W14,D3,L3,V2,M3} R(146,3658);r(312) { ! midp( X,
% 2.40/2.82 skol22, skol25 ), midp( skol7( skol22, Y ), skol22, Y ), ! midp( skol28,
% 2.40/2.82 skol22, skol25 ) }.
% 2.40/2.82 substitution0:
% 2.40/2.82 X := skol28
% 2.40/2.82 Y := X
% 2.40/2.82 end
% 2.40/2.82
% 2.40/2.82 resolution: (17643) {G1,W6,D3,L1,V1,M1} { midp( skol7( skol22, X ), skol22
% 2.40/2.82 , X ) }.
% 2.40/2.82 parent0[0]: (17642) {G8,W10,D3,L2,V1,M2} { ! midp( skol28, skol22, skol25
% 2.40/2.82 ), midp( skol7( skol22, X ), skol22, X ) }.
% 2.40/2.82 parent1[0]: (118) {G0,W4,D2,L1,V0,M1} I { midp( skol28, skol22, skol25 )
% 2.40/2.82 }.
% 2.40/2.82 substitution0:
% 2.40/2.82 X := X
% 2.40/2.82 end
% 2.40/2.82 substitution1:
% 2.40/2.82 end
% 2.40/2.82
% 2.40/2.82 subsumption: (8057) {G9,W6,D3,L1,V1,M1} F(7935);r(118) { midp( skol7(
% 2.40/2.82 skol22, X ), skol22, X ) }.
% 2.40/2.82 parent0: (17643) {G1,W6,D3,L1,V1,M1} { midp( skol7( skol22, X ), skol22, X
% 2.40/2.82 ) }.
% 2.40/2.82 substitution0:
% 2.40/2.82 X := X
% 2.40/2.82 end
% 2.40/2.82 permutation0:
% 2.40/2.82 0 ==> 0
% 2.40/2.82 end
% 2.40/2.82
% 2.40/2.82 resolution: (17644) {G10,W4,D2,L1,V1,M1} { coll( skol22, skol22, X ) }.
% 2.40/2.82 parent0[0]: (685) {G11,W8,D2,L2,V3,M2} R(69,637) { ! midp( X, Y, Z ), coll
% 2.40/2.82 ( Y, Y, Z ) }.
% 2.40/2.82 parent1[0]: (8057) {G9,W6,D3,L1,V1,M1} F(7935);r(118) { midp( skol7( skol22
% 2.40/2.82 , X ), skol22, X ) }.
% 2.40/2.82 substitution0:
% 2.40/2.82 X := skol7( skol22, X )
% 2.40/2.82 Y := skol22
% 2.40/2.82 Z := X
% 2.40/2.82 end
% 2.40/2.82 substitution1:
% 2.40/2.82 X := X
% 2.40/2.82 end
% 2.40/2.82
% 2.40/2.82 subsumption: (8275) {G12,W4,D2,L1,V1,M1} R(8057,685) { coll( skol22, skol22
% 2.40/2.82 , X ) }.
% 2.40/2.82 parent0: (17644) {G10,W4,D2,L1,V1,M1} { coll( skol22, skol22, X ) }.
% 2.40/2.82 substitution0:
% 2.40/2.82 X := X
% 2.40/2.82 end
% 2.40/2.82 permutation0:
% 2.40/2.82 0 ==> 0
% 2.40/2.82 end
% 2.40/2.82
% 2.40/2.82 resolution: (17645) {G1,W6,D3,L1,V1,M1} { midp( skol7( skol22, X ), X,
% 2.40/2.82 skol22 ) }.
% 2.40/2.82 parent0[0]: (10) {G0,W8,D2,L2,V3,M2} I { ! midp( Z, Y, X ), midp( Z, X, Y )
% 2.40/2.82 }.
% 2.40/2.82 parent1[0]: (8057) {G9,W6,D3,L1,V1,M1} F(7935);r(118) { midp( skol7( skol22
% 2.40/2.82 , X ), skol22, X ) }.
% 2.40/2.82 substitution0:
% 2.40/2.82 X := X
% 2.40/2.82 Y := skol22
% 2.40/2.82 Z := skol7( skol22, X )
% 2.40/2.82 end
% 2.40/2.82 substitution1:
% 2.40/2.82 X := X
% 2.40/2.82 end
% 2.40/2.82
% 2.40/2.82 subsumption: (8288) {G10,W6,D3,L1,V1,M1} R(8057,10) { midp( skol7( skol22,
% 2.40/2.82 X ), X, skol22 ) }.
% 2.40/2.82 parent0: (17645) {G1,W6,D3,L1,V1,M1} { midp( skol7( skol22, X ), X, skol22
% 2.40/2.82 ) }.
% 2.40/2.82 substitution0:
% 2.40/2.82 X := X
% 2.40/2.82 end
% 2.40/2.82 permutation0:
% 2.40/2.82 0 ==> 0
% 2.40/2.82 end
% 2.40/2.82
% 2.40/2.82 resolution: (17646) {G1,W8,D2,L2,V2,M2} { ! coll( skol22, skol22, Y ),
% 2.40/2.82 coll( X, Y, skol22 ) }.
% 2.40/2.82 parent0[0]: (2) {G0,W12,D2,L3,V4,M3} I { ! coll( X, T, Y ), ! coll( X, T, Z
% 2.40/2.82 ), coll( Y, Z, X ) }.
% 2.40/2.82 parent1[0]: (8275) {G12,W4,D2,L1,V1,M1} R(8057,685) { coll( skol22, skol22
% 2.40/2.82 , X ) }.
% 2.40/2.82 substitution0:
% 2.40/2.82 X := skol22
% 2.40/2.82 Y := X
% 2.40/2.82 Z := Y
% 2.40/2.82 T := skol22
% 2.40/2.82 end
% 2.40/2.82 substitution1:
% 2.40/2.82 X := X
% 2.40/2.82 end
% 2.40/2.82
% 2.40/2.82 resolution: (17648) {G2,W4,D2,L1,V2,M1} { coll( Y, X, skol22 ) }.
% 2.40/2.82 parent0[0]: (17646) {G1,W8,D2,L2,V2,M2} { ! coll( skol22, skol22, Y ),
% 2.40/2.82 coll( X, Y, skol22 ) }.
% 2.40/2.82 parent1[0]: (8275) {G12,W4,D2,L1,V1,M1} R(8057,685) { coll( skol22, skol22
% 2.40/2.82 , X ) }.
% 2.40/2.82 substitution0:
% 2.40/2.82 X := Y
% 2.40/2.82 Y := X
% 2.40/2.82 end
% 2.40/2.82 substitution1:
% 2.40/2.82 X := X
% 2.40/2.82 end
% 2.40/2.82
% 2.40/2.82 subsumption: (8347) {G13,W4,D2,L1,V2,M1} R(8275,2);r(8275) { coll( Y, X,
% 2.40/2.82 skol22 ) }.
% 2.40/2.82 parent0: (17648) {G2,W4,D2,L1,V2,M1} { coll( Y, X, skol22 ) }.
% 2.40/2.82 substitution0:
% 2.40/2.82 X := X
% 2.40/2.82 Y := Y
% 2.40/2.82 end
% 2.40/2.82 permutation0:
% 2.40/2.82 0 ==> 0
% 2.40/2.82 end
% 2.40/2.82
% 2.40/2.82 resolution: (17649) {G2,W4,D2,L1,V2,M1} { coll( Y, skol22, X ) }.
% 2.40/2.82 parent0[0]: (170) {G1,W8,D2,L2,V3,M2} R(1,0) { ! coll( X, Y, Z ), coll( Y,
% 2.40/2.82 Z, X ) }.
% 2.40/2.82 parent1[0]: (8347) {G13,W4,D2,L1,V2,M1} R(8275,2);r(8275) { coll( Y, X,
% 2.40/2.82 skol22 ) }.
% 2.40/2.82 substitution0:
% 2.40/2.82 X := X
% 2.40/2.82 Y := Y
% 2.40/2.82 Z := skol22
% 2.40/2.82 end
% 2.40/2.82 substitution1:
% 2.40/2.82 X := Y
% 2.40/2.82 Y := X
% 2.40/2.82 end
% 2.40/2.82
% 2.40/2.82 subsumption: (8401) {G14,W4,D2,L1,V2,M1} R(8347,170) { coll( X, skol22, Y )
% 2.40/2.82 }.
% 2.40/2.82 parent0: (17649) {G2,W4,D2,L1,V2,M1} { coll( Y, skol22, X ) }.
% 2.40/2.82 substitution0:
% 2.40/2.82 X := Y
% 2.40/2.82 Y := X
% 2.40/2.82 end
% 2.40/2.82 permutation0:
% 2.40/2.82 0 ==> 0
% 2.40/2.82 end
% 2.40/2.82
% 2.40/2.82 resolution: (17650) {G1,W8,D2,L2,V3,M2} { ! coll( X, skol22, Z ), coll( Y
% 2.40/2.82 , Z, X ) }.
% 2.40/2.82 parent0[0]: (2) {G0,W12,D2,L3,V4,M3} I { ! coll( X, T, Y ), ! coll( X, T, Z
% 2.40/2.82 ), coll( Y, Z, X ) }.
% 2.40/2.82 parent1[0]: (8401) {G14,W4,D2,L1,V2,M1} R(8347,170) { coll( X, skol22, Y )
% 2.40/2.82 }.
% 2.40/2.82 substitution0:
% 2.40/2.82 X := X
% 2.40/2.82 Y := Y
% 2.40/2.82 Z := Z
% 2.40/2.82 T := skol22
% 2.40/2.82 end
% 2.40/2.82 substitution1:
% 2.40/2.82 X := X
% 2.40/2.82 Y := Y
% 2.40/2.82 end
% 2.40/2.82
% 2.40/2.82 resolution: (17652) {G2,W4,D2,L1,V3,M1} { coll( Z, Y, X ) }.
% 2.40/2.82 parent0[0]: (17650) {G1,W8,D2,L2,V3,M2} { ! coll( X, skol22, Z ), coll( Y
% 2.40/2.82 , Z, X ) }.
% 2.40/2.82 parent1[0]: (8401) {G14,W4,D2,L1,V2,M1} R(8347,170) { coll( X, skol22, Y )
% 2.40/2.82 }.
% 2.40/2.82 substitution0:
% 2.40/2.82 X := X
% 2.40/2.82 Y := Z
% 2.40/2.82 Z := Y
% 2.40/2.82 end
% 2.40/2.82 substitution1:
% 2.40/2.82 X := X
% 2.40/2.82 Y := Y
% 2.40/2.82 end
% 2.40/2.82
% 2.40/2.82 subsumption: (8414) {G15,W4,D2,L1,V3,M1} R(8401,2);r(8401) { coll( Z, Y, X
% 2.40/2.82 ) }.
% 2.40/2.82 parent0: (17652) {G2,W4,D2,L1,V3,M1} { coll( Z, Y, X ) }.
% 2.40/2.82 substitution0:
% 2.40/2.82 X := X
% 2.40/2.82 Y := Y
% 2.40/2.82 Z := Z
% 2.40/2.82 end
% 2.40/2.82 permutation0:
% 2.40/2.82 0 ==> 0
% 2.40/2.82 end
% 2.40/2.82
% 2.40/2.82 resolution: (17653) {G1,W7,D3,L1,V0,M1} { perp( skol25, skol27, skol12(
% 2.40/2.82 skol25, skol27 ), skol25 ) }.
% 2.40/2.82 parent0[0]: (7) {G0,W10,D2,L2,V4,M2} I { ! perp( X, Y, Z, T ), perp( Z, T,
% 2.40/2.82 X, Y ) }.
% 2.40/2.82 parent1[0]: (7885) {G4,W7,D3,L1,V0,M1} R(7081,100) { perp( skol12( skol25,
% 2.40/2.82 skol27 ), skol25, skol25, skol27 ) }.
% 2.40/2.82 substitution0:
% 2.40/2.82 X := skol12( skol25, skol27 )
% 2.40/2.82 Y := skol25
% 2.40/2.82 Z := skol25
% 2.40/2.82 T := skol27
% 2.40/2.82 end
% 2.40/2.82 substitution1:
% 2.40/2.82 end
% 2.40/2.82
% 2.40/2.82 subsumption: (8601) {G5,W7,D3,L1,V0,M1} R(7885,7) { perp( skol25, skol27,
% 2.40/2.82 skol12( skol25, skol27 ), skol25 ) }.
% 2.40/2.82 parent0: (17653) {G1,W7,D3,L1,V0,M1} { perp( skol25, skol27, skol12(
% 2.40/2.82 skol25, skol27 ), skol25 ) }.
% 2.40/2.82 substitution0:
% 2.40/2.82 end
% 2.40/2.82 permutation0:
% 2.40/2.82 0 ==> 0
% 2.40/2.82 end
% 2.40/2.82
% 2.40/2.82 resolution: (17654) {G1,W7,D3,L1,V0,M1} { perp( skol25, skol27, skol25,
% 2.40/2.82 skol12( skol25, skol27 ) ) }.
% 2.40/2.82 parent0[0]: (6) {G0,W10,D2,L2,V4,M2} I { ! perp( X, Y, Z, T ), perp( X, Y,
% 2.40/2.82 T, Z ) }.
% 2.40/2.82 parent1[0]: (8601) {G5,W7,D3,L1,V0,M1} R(7885,7) { perp( skol25, skol27,
% 2.40/2.82 skol12( skol25, skol27 ), skol25 ) }.
% 2.40/2.82 substitution0:
% 2.40/2.82 X := skol25
% 2.40/2.82 Y := skol27
% 2.40/2.82 Z := skol12( skol25, skol27 )
% 2.40/2.82 T := skol25
% 2.40/2.82 end
% 2.40/2.82 substitution1:
% 2.40/2.82 end
% 2.40/2.82
% 2.40/2.82 subsumption: (8610) {G6,W7,D3,L1,V0,M1} R(8601,6) { perp( skol25, skol27,
% 2.40/2.82 skol25, skol12( skol25, skol27 ) ) }.
% 2.40/2.82 parent0: (17654) {G1,W7,D3,L1,V0,M1} { perp( skol25, skol27, skol25,
% 2.40/2.82 skol12( skol25, skol27 ) ) }.
% 2.40/2.82 substitution0:
% 2.40/2.82 end
% 2.40/2.82 permutation0:
% 2.40/2.82 0 ==> 0
% 2.40/2.82 end
% 2.40/2.82
% 2.40/2.82 resolution: (17655) {G1,W7,D3,L1,V0,M1} { perp( skol25, skol12( skol25,
% 2.40/2.82 skol27 ), skol25, skol27 ) }.
% 2.40/2.82 parent0[0]: (7) {G0,W10,D2,L2,V4,M2} I { ! perp( X, Y, Z, T ), perp( Z, T,
% 2.40/2.82 X, Y ) }.
% 2.40/2.82 parent1[0]: (8610) {G6,W7,D3,L1,V0,M1} R(8601,6) { perp( skol25, skol27,
% 2.40/2.82 skol25, skol12( skol25, skol27 ) ) }.
% 2.40/2.82 substitution0:
% 2.40/2.82 X := skol25
% 2.40/2.82 Y := skol27
% 2.40/2.82 Z := skol25
% 2.40/2.82 T := skol12( skol25, skol27 )
% 2.40/2.82 end
% 2.40/2.82 substitution1:
% 2.40/2.82 end
% 2.40/2.82
% 2.40/2.82 subsumption: (8618) {G7,W7,D3,L1,V0,M1} R(8610,7) { perp( skol25, skol12(
% 2.40/2.82 skol25, skol27 ), skol25, skol27 ) }.
% 2.40/2.82 parent0: (17655) {G1,W7,D3,L1,V0,M1} { perp( skol25, skol12( skol25,
% 2.40/2.82 skol27 ), skol25, skol27 ) }.
% 2.40/2.82 substitution0:
% 2.40/2.82 end
% 2.40/2.82 permutation0:
% 2.40/2.82 0 ==> 0
% 2.40/2.82 end
% 2.40/2.82
% 2.40/2.82 resolution: (17656) {G1,W7,D3,L1,V0,M1} { perp( skol25, skol12( skol25,
% 2.40/2.82 skol27 ), skol27, skol25 ) }.
% 2.40/2.82 parent0[0]: (6) {G0,W10,D2,L2,V4,M2} I { ! perp( X, Y, Z, T ), perp( X, Y,
% 2.40/2.82 T, Z ) }.
% 2.40/2.82 parent1[0]: (8618) {G7,W7,D3,L1,V0,M1} R(8610,7) { perp( skol25, skol12(
% 2.40/2.82 skol25, skol27 ), skol25, skol27 ) }.
% 2.40/2.82 substitution0:
% 2.40/2.82 X := skol25
% 2.40/2.82 Y := skol12( skol25, skol27 )
% 2.40/2.82 Z := skol25
% 2.40/2.82 T := skol27
% 2.40/2.82 end
% 2.40/2.82 substitution1:
% 2.40/2.82 end
% 2.40/2.82
% 2.40/2.82 subsumption: (8627) {G8,W7,D3,L1,V0,M1} R(8618,6) { perp( skol25, skol12(
% 2.40/2.82 skol25, skol27 ), skol27, skol25 ) }.
% 2.40/2.82 parent0: (17656) {G1,W7,D3,L1,V0,M1} { perp( skol25, skol12( skol25,
% 2.40/2.82 skol27 ), skol27, skol25 ) }.
% 2.40/2.82 substitution0:
% 2.40/2.82 end
% 2.40/2.82 permutation0:
% 2.40/2.82 0 ==> 0
% 2.40/2.82 end
% 2.40/2.82
% 2.40/2.82 resolution: (17657) {G1,W7,D3,L1,V0,M1} { perp( skol27, skol25, skol25,
% 2.40/2.82 skol12( skol25, skol27 ) ) }.
% 2.40/2.82 parent0[0]: (7) {G0,W10,D2,L2,V4,M2} I { ! perp( X, Y, Z, T ), perp( Z, T,
% 2.40/2.82 X, Y ) }.
% 2.40/2.82 parent1[0]: (8627) {G8,W7,D3,L1,V0,M1} R(8618,6) { perp( skol25, skol12(
% 2.40/2.82 skol25, skol27 ), skol27, skol25 ) }.
% 2.40/2.82 substitution0:
% 2.40/2.82 X := skol25
% 2.40/2.82 Y := skol12( skol25, skol27 )
% 2.40/2.82 Z := skol27
% 2.40/2.82 T := skol25
% 2.40/2.82 end
% 2.40/2.82 substitution1:
% 2.40/2.82 end
% 2.40/2.82
% 2.40/2.82 subsumption: (8636) {G9,W7,D3,L1,V0,M1} R(8627,7) { perp( skol27, skol25,
% 2.40/2.82 skol25, skol12( skol25, skol27 ) ) }.
% 2.40/2.82 parent0: (17657) {G1,W7,D3,L1,V0,M1} { perp( skol27, skol25, skol25,
% 2.40/2.82 skol12( skol25, skol27 ) ) }.
% 2.40/2.82 substitution0:
% 2.40/2.82 end
% 2.40/2.82 permutation0:
% 2.40/2.82 0 ==> 0
% 2.40/2.82 end
% 2.40/2.82
% 2.40/2.82 resolution: (17658) {G1,W14,D3,L2,V2,M2} { ! coll( skol12( skol25, skol27
% 2.40/2.82 ), X, Y ), perp( skol16( skol27, X, Y ), skol27, X, Y ) }.
% 2.40/2.82 parent0[0]: (110) {G0,W17,D3,L3,V5,M3} I { ! perp( X, U, U, T ), ! coll( T
% 2.40/2.82 , Y, Z ), perp( skol16( X, Y, Z ), X, Y, Z ) }.
% 2.40/2.82 parent1[0]: (8636) {G9,W7,D3,L1,V0,M1} R(8627,7) { perp( skol27, skol25,
% 2.40/2.82 skol25, skol12( skol25, skol27 ) ) }.
% 2.40/2.82 substitution0:
% 2.40/2.82 X := skol27
% 2.40/2.82 Y := X
% 2.40/2.82 Z := Y
% 2.40/2.82 T := skol12( skol25, skol27 )
% 2.40/2.82 U := skol25
% 2.40/2.82 end
% 2.40/2.82 substitution1:
% 2.40/2.82 end
% 2.40/2.82
% 2.40/2.82 resolution: (17659) {G2,W8,D3,L1,V2,M1} { perp( skol16( skol27, X, Y ),
% 2.40/2.82 skol27, X, Y ) }.
% 2.40/2.82 parent0[0]: (17658) {G1,W14,D3,L2,V2,M2} { ! coll( skol12( skol25, skol27
% 2.40/2.82 ), X, Y ), perp( skol16( skol27, X, Y ), skol27, X, Y ) }.
% 2.40/2.82 parent1[0]: (8414) {G15,W4,D2,L1,V3,M1} R(8401,2);r(8401) { coll( Z, Y, X )
% 2.40/2.82 }.
% 2.40/2.82 substitution0:
% 2.40/2.82 X := X
% 2.40/2.82 Y := Y
% 2.40/2.82 end
% 2.40/2.82 substitution1:
% 2.40/2.82 X := Y
% 2.40/2.82 Y := X
% 2.40/2.82 Z := skol12( skol25, skol27 )
% 2.40/2.82 end
% 2.40/2.82
% 2.40/2.82 subsumption: (8638) {G16,W8,D3,L1,V2,M1} R(8636,110);r(8414) { perp( skol16
% 2.40/2.82 ( skol27, X, Y ), skol27, X, Y ) }.
% 2.40/2.82 parent0: (17659) {G2,W8,D3,L1,V2,M1} { perp( skol16( skol27, X, Y ),
% 2.40/2.82 skol27, X, Y ) }.
% 2.40/2.82 substitution0:
% 2.40/2.82 X := X
% 2.40/2.82 Y := Y
% 2.40/2.82 end
% 2.40/2.82 permutation0:
% 2.40/2.82 0 ==> 0
% 2.40/2.82 end
% 2.40/2.82
% 2.40/2.82 resolution: (17660) {G2,W8,D3,L1,V2,M1} { perp( X, Y, skol27, skol16(
% 2.40/2.82 skol27, X, Y ) ) }.
% 2.40/2.82 parent0[0]: (290) {G1,W10,D2,L2,V4,M2} R(7,6) { ! perp( X, Y, Z, T ), perp
% 2.40/2.82 ( Z, T, Y, X ) }.
% 2.40/2.82 parent1[0]: (8638) {G16,W8,D3,L1,V2,M1} R(8636,110);r(8414) { perp( skol16
% 2.40/2.82 ( skol27, X, Y ), skol27, X, Y ) }.
% 2.40/2.82 substitution0:
% 2.40/2.82 X := skol16( skol27, X, Y )
% 2.40/2.82 Y := skol27
% 2.40/2.82 Z := X
% 2.40/2.82 T := Y
% 2.40/2.82 end
% 2.40/2.82 substitution1:
% 2.40/2.82 X := X
% 2.40/2.82 Y := Y
% 2.40/2.82 end
% 2.40/2.82
% 2.40/2.82 subsumption: (8971) {G17,W8,D3,L1,V2,M1} R(290,8638) { perp( X, Y, skol27,
% 2.40/2.82 skol16( skol27, X, Y ) ) }.
% 2.40/2.82 parent0: (17660) {G2,W8,D3,L1,V2,M1} { perp( X, Y, skol27, skol16( skol27
% 2.40/2.82 , X, Y ) ) }.
% 2.40/2.82 substitution0:
% 2.40/2.82 X := X
% 2.40/2.82 Y := Y
% 2.40/2.82 end
% 2.40/2.82 permutation0:
% 2.40/2.82 0 ==> 0
% 2.40/2.82 end
% 2.40/2.82
% 2.40/2.82 resolution: (17661) {G1,W15,D3,L2,V3,M2} { ! coll( skol16( skol27, X,
% 2.40/2.82 skol27 ), Y, Z ), perp( skol16( X, Y, Z ), X, Y, Z ) }.
% 2.40/2.82 parent0[0]: (110) {G0,W17,D3,L3,V5,M3} I { ! perp( X, U, U, T ), ! coll( T
% 2.40/2.82 , Y, Z ), perp( skol16( X, Y, Z ), X, Y, Z ) }.
% 2.40/2.82 parent1[0]: (8971) {G17,W8,D3,L1,V2,M1} R(290,8638) { perp( X, Y, skol27,
% 2.40/2.82 skol16( skol27, X, Y ) ) }.
% 2.40/2.82 substitution0:
% 2.40/2.82 X := X
% 2.40/2.82 Y := Y
% 2.40/2.82 Z := Z
% 2.40/2.82 T := skol16( skol27, X, skol27 )
% 2.40/2.82 U := skol27
% 2.40/2.82 end
% 2.40/2.82 substitution1:
% 2.40/2.82 X := X
% 2.40/2.82 Y := skol27
% 2.40/2.82 end
% 2.40/2.82
% 2.40/2.82 resolution: (17662) {G2,W8,D3,L1,V3,M1} { perp( skol16( X, Y, Z ), X, Y, Z
% 2.40/2.82 ) }.
% 2.40/2.82 parent0[0]: (17661) {G1,W15,D3,L2,V3,M2} { ! coll( skol16( skol27, X,
% 2.40/2.82 skol27 ), Y, Z ), perp( skol16( X, Y, Z ), X, Y, Z ) }.
% 2.40/2.82 parent1[0]: (8414) {G15,W4,D2,L1,V3,M1} R(8401,2);r(8401) { coll( Z, Y, X )
% 2.40/2.82 }.
% 2.40/2.82 substitution0:
% 2.40/2.82 X := X
% 2.40/2.82 Y := Y
% 2.40/2.82 Z := Z
% 2.40/2.82 end
% 2.40/2.82 substitution1:
% 2.40/2.82 X := Z
% 2.40/2.82 Y := Y
% 2.40/2.82 Z := skol16( skol27, X, skol27 )
% 2.40/2.82 end
% 2.40/2.82
% 2.40/2.82 subsumption: (8996) {G18,W8,D3,L1,V3,M1} R(8971,110);r(8414) { perp( skol16
% 2.40/2.82 ( X, Y, Z ), X, Y, Z ) }.
% 2.40/2.82 parent0: (17662) {G2,W8,D3,L1,V3,M1} { perp( skol16( X, Y, Z ), X, Y, Z )
% 2.40/2.82 }.
% 2.40/2.82 substitution0:
% 2.40/2.82 X := X
% 2.40/2.82 Y := Y
% 2.40/2.82 Z := Z
% 2.40/2.82 end
% 2.40/2.82 permutation0:
% 2.40/2.82 0 ==> 0
% 2.40/2.82 end
% 2.40/2.82
% 2.40/2.82 resolution: (17663) {G2,W8,D3,L1,V3,M1} { perp( Y, Z, X, skol16( X, Y, Z )
% 2.40/2.82 ) }.
% 2.40/2.82 parent0[0]: (290) {G1,W10,D2,L2,V4,M2} R(7,6) { ! perp( X, Y, Z, T ), perp
% 2.40/2.82 ( Z, T, Y, X ) }.
% 2.40/2.82 parent1[0]: (8996) {G18,W8,D3,L1,V3,M1} R(8971,110);r(8414) { perp( skol16
% 2.40/2.82 ( X, Y, Z ), X, Y, Z ) }.
% 2.40/2.82 substitution0:
% 2.40/2.82 X := skol16( X, Y, Z )
% 2.40/2.82 Y := X
% 2.40/2.82 Z := Y
% 2.40/2.82 T := Z
% 2.40/2.82 end
% 2.40/2.82 substitution1:
% 2.40/2.82 X := X
% 2.40/2.82 Y := Y
% 2.40/2.82 Z := Z
% 2.40/2.82 end
% 2.40/2.82
% 2.40/2.82 subsumption: (9008) {G19,W8,D3,L1,V3,M1} R(8996,290) { perp( X, Y, Z,
% 2.40/2.82 skol16( Z, X, Y ) ) }.
% 2.40/2.82 parent0: (17663) {G2,W8,D3,L1,V3,M1} { perp( Y, Z, X, skol16( X, Y, Z ) )
% 2.40/2.82 }.
% 2.40/2.82 substitution0:
% 2.40/2.82 X := Z
% 2.40/2.82 Y := X
% 2.40/2.82 Z := Y
% 2.40/2.82 end
% 2.40/2.82 permutation0:
% 2.40/2.82 0 ==> 0
% 2.40/2.82 end
% 2.40/2.82
% 2.40/2.82 resolution: (17664) {G2,W8,D3,L1,V3,M1} { perp( Z, skol16( Z, X, Y ), Y, X
% 2.40/2.82 ) }.
% 2.40/2.82 parent0[0]: (290) {G1,W10,D2,L2,V4,M2} R(7,6) { ! perp( X, Y, Z, T ), perp
% 2.40/2.82 ( Z, T, Y, X ) }.
% 2.40/2.82 parent1[0]: (9008) {G19,W8,D3,L1,V3,M1} R(8996,290) { perp( X, Y, Z, skol16
% 2.40/2.82 ( Z, X, Y ) ) }.
% 2.40/2.82 substitution0:
% 2.40/2.82 X := X
% 2.40/2.82 Y := Y
% 2.40/2.82 Z := Z
% 2.40/2.82 T := skol16( Z, X, Y )
% 2.40/2.82 end
% 2.40/2.82 substitution1:
% 2.40/2.82 X := X
% 2.40/2.82 Y := Y
% 2.40/2.82 Z := Z
% 2.40/2.82 end
% 2.40/2.82
% 2.40/2.82 subsumption: (9102) {G20,W8,D3,L1,V3,M1} R(9008,290) { perp( X, skol16( X,
% 2.40/2.82 Y, Z ), Z, Y ) }.
% 2.40/2.82 parent0: (17664) {G2,W8,D3,L1,V3,M1} { perp( Z, skol16( Z, X, Y ), Y, X )
% 2.40/2.82 }.
% 2.40/2.82 substitution0:
% 2.40/2.82 X := Y
% 2.40/2.82 Y := Z
% 2.40/2.82 Z := X
% 2.40/2.82 end
% 2.40/2.82 permutation0:
% 2.40/2.82 0 ==> 0
% 2.40/2.82 end
% 2.40/2.82
% 2.40/2.82 resolution: (17665) {G2,W8,D3,L1,V2,M1} { perp( X, skol10( X, X, Y ), Y, X
% 2.40/2.82 ) }.
% 2.40/2.82 parent0[0]: (152) {G1,W13,D3,L2,V3,M2} F(95) { ! perp( X, Y, X, Z ), perp(
% 2.40/2.82 X, skol10( X, X, Z ), Z, X ) }.
% 2.40/2.82 parent1[0]: (9102) {G20,W8,D3,L1,V3,M1} R(9008,290) { perp( X, skol16( X, Y
% 2.40/2.82 , Z ), Z, Y ) }.
% 2.40/2.82 substitution0:
% 2.40/2.82 X := X
% 2.40/2.82 Y := skol16( X, Y, X )
% 2.40/2.82 Z := Y
% 2.40/2.82 end
% 2.40/2.82 substitution1:
% 2.40/2.82 X := X
% 2.40/2.82 Y := Y
% 2.40/2.82 Z := X
% 2.40/2.82 end
% 2.40/2.82
% 2.40/2.82 subsumption: (9198) {G21,W8,D3,L1,V2,M1} R(9102,152) { perp( X, skol10( X,
% 2.40/2.82 X, Y ), Y, X ) }.
% 2.40/2.82 parent0: (17665) {G2,W8,D3,L1,V2,M1} { perp( X, skol10( X, X, Y ), Y, X )
% 2.40/2.82 }.
% 2.40/2.82 substitution0:
% 2.40/2.82 X := X
% 2.40/2.82 Y := Y
% 2.40/2.82 end
% 2.40/2.82 permutation0:
% 2.40/2.82 0 ==> 0
% 2.40/2.82 end
% 2.40/2.82
% 2.40/2.82 resolution: (17666) {G1,W8,D3,L1,V2,M1} { perp( Y, X, X, skol10( X, X, Y )
% 2.40/2.82 ) }.
% 2.40/2.82 parent0[0]: (7) {G0,W10,D2,L2,V4,M2} I { ! perp( X, Y, Z, T ), perp( Z, T,
% 2.40/2.82 X, Y ) }.
% 2.40/2.82 parent1[0]: (9198) {G21,W8,D3,L1,V2,M1} R(9102,152) { perp( X, skol10( X, X
% 2.40/2.82 , Y ), Y, X ) }.
% 2.40/2.82 substitution0:
% 2.40/2.82 X := X
% 2.40/2.82 Y := skol10( X, X, Y )
% 2.40/2.82 Z := Y
% 2.40/2.82 T := X
% 2.40/2.82 end
% 2.40/2.82 substitution1:
% 2.40/2.82 X := X
% 2.40/2.82 Y := Y
% 2.40/2.82 end
% 2.40/2.82
% 2.40/2.82 subsumption: (9510) {G22,W8,D3,L1,V2,M1} R(9198,7) { perp( X, Y, Y, skol10
% 2.40/2.82 ( Y, Y, X ) ) }.
% 2.40/2.82 parent0: (17666) {G1,W8,D3,L1,V2,M1} { perp( Y, X, X, skol10( X, X, Y ) )
% 2.40/2.82 }.
% 2.40/2.82 substitution0:
% 2.40/2.82 X := Y
% 2.40/2.82 Y := X
% 2.40/2.82 end
% 2.40/2.82 permutation0:
% 2.40/2.82 0 ==> 0
% 2.40/2.82 end
% 2.40/2.82
% 2.40/2.82 resolution: (17667) {G3,W5,D2,L1,V2,M1} { para( X, Y, X, Y ) }.
% 2.40/2.82 parent0[0]: (307) {G2,W10,D2,L2,V4,M2} F(299) { ! perp( X, Y, Z, T ), para
% 2.40/2.82 ( X, Y, X, Y ) }.
% 2.40/2.82 parent1[0]: (9510) {G22,W8,D3,L1,V2,M1} R(9198,7) { perp( X, Y, Y, skol10(
% 2.40/2.82 Y, Y, X ) ) }.
% 2.40/2.82 substitution0:
% 2.40/2.82 X := X
% 2.40/2.82 Y := Y
% 2.40/2.82 Z := Y
% 2.40/2.82 T := skol10( Y, Y, X )
% 2.40/2.82 end
% 2.40/2.82 substitution1:
% 2.40/2.82 X := X
% 2.40/2.82 Y := Y
% 2.40/2.82 end
% 2.40/2.82
% 2.40/2.82 subsumption: (9569) {G23,W5,D2,L1,V2,M1} R(307,9510) { para( X, Y, X, Y )
% 2.40/2.82 }.
% 2.40/2.82 parent0: (17667) {G3,W5,D2,L1,V2,M1} { para( X, Y, X, Y ) }.
% 2.40/2.82 substitution0:
% 2.40/2.82 X := X
% 2.40/2.82 Y := Y
% 2.40/2.82 end
% 2.40/2.82 permutation0:
% 2.40/2.82 0 ==> 0
% 2.40/2.82 end
% 2.40/2.82
% 2.40/2.82 resolution: (17668) {G2,W8,D2,L2,V3,M2} { ! midp( X, Y, Y ), midp( X, Z, Z
% 2.40/2.82 ) }.
% 2.40/2.82 parent0[1]: (140) {G1,W13,D2,L3,V4,M3} F(64) { ! midp( X, Y, Z ), ! para( Y
% 2.40/2.82 , T, Z, T ), midp( X, T, T ) }.
% 2.40/2.82 parent1[0]: (9569) {G23,W5,D2,L1,V2,M1} R(307,9510) { para( X, Y, X, Y )
% 2.40/2.82 }.
% 2.40/2.82 substitution0:
% 2.40/2.82 X := X
% 2.40/2.82 Y := Y
% 2.40/2.82 Z := Y
% 2.40/2.82 T := Z
% 2.40/2.82 end
% 2.40/2.82 substitution1:
% 2.40/2.82 X := Y
% 2.40/2.82 Y := Z
% 2.40/2.82 end
% 2.40/2.82
% 2.40/2.82 subsumption: (9573) {G24,W8,D2,L2,V3,M2} R(9569,140) { ! midp( X, Y, Y ),
% 2.40/2.82 midp( X, Z, Z ) }.
% 2.40/2.82 parent0: (17668) {G2,W8,D2,L2,V3,M2} { ! midp( X, Y, Y ), midp( X, Z, Z )
% 2.40/2.82 }.
% 2.40/2.82 substitution0:
% 2.40/2.82 X := X
% 2.40/2.82 Y := Y
% 2.40/2.82 Z := Z
% 2.40/2.82 end
% 2.40/2.82 permutation0:
% 2.40/2.82 0 ==> 0
% 2.40/2.82 1 ==> 1
% 2.40/2.82 end
% 2.40/2.82
% 2.40/2.82 resolution: (17669) {G11,W6,D3,L1,V1,M1} { midp( skol7( skol22, skol22 ),
% 2.40/2.82 X, X ) }.
% 2.40/2.82 parent0[0]: (9573) {G24,W8,D2,L2,V3,M2} R(9569,140) { ! midp( X, Y, Y ),
% 2.40/2.82 midp( X, Z, Z ) }.
% 2.40/2.82 parent1[0]: (8288) {G10,W6,D3,L1,V1,M1} R(8057,10) { midp( skol7( skol22, X
% 2.40/2.82 ), X, skol22 ) }.
% 2.40/2.82 substitution0:
% 2.40/2.82 X := skol7( skol22, skol22 )
% 2.40/2.82 Y := skol22
% 2.40/2.82 Z := X
% 2.40/2.82 end
% 2.40/2.82 substitution1:
% 2.40/2.82 X := skol22
% 2.40/2.82 end
% 2.40/2.82
% 2.40/2.82 subsumption: (9580) {G25,W6,D3,L1,V1,M1} R(9573,8288) { midp( skol7( skol22
% 2.40/2.82 , skol22 ), X, X ) }.
% 2.40/2.82 parent0: (17669) {G11,W6,D3,L1,V1,M1} { midp( skol7( skol22, skol22 ), X,
% 2.40/2.82 X ) }.
% 2.40/2.82 substitution0:
% 2.40/2.82 X := X
% 2.40/2.82 end
% 2.40/2.82 permutation0:
% 2.40/2.82 0 ==> 0
% 2.40/2.82 end
% 2.40/2.82
% 2.40/2.82 resolution: (17670) {G2,W5,D2,L1,V0,M1} { cong( skol27, skol20, skol27,
% 2.40/2.82 skol20 ) }.
% 2.40/2.82 parent0[0]: (519) {G2,W10,D2,L2,V4,M2} F(508) { ! cong( X, Y, Z, T ), cong
% 2.40/2.82 ( X, Y, X, Y ) }.
% 2.40/2.82 parent1[0]: (2504) {G1,W5,D2,L1,V0,M1} R(68,117) { cong( skol27, skol20,
% 2.40/2.82 skol27, skol25 ) }.
% 2.40/2.82 substitution0:
% 2.40/2.82 X := skol27
% 2.40/2.82 Y := skol20
% 2.40/2.82 Z := skol27
% 2.40/2.82 T := skol25
% 2.40/2.82 end
% 2.40/2.82 substitution1:
% 2.40/2.82 end
% 2.40/2.82
% 2.40/2.82 subsumption: (12547) {G3,W5,D2,L1,V0,M1} R(519,2504) { cong( skol27, skol20
% 2.40/2.82 , skol27, skol20 ) }.
% 2.40/2.82 parent0: (17670) {G2,W5,D2,L1,V0,M1} { cong( skol27, skol20, skol27,
% 2.40/2.82 skol20 ) }.
% 2.40/2.82 substitution0:
% 2.40/2.82 end
% 2.40/2.82 permutation0:
% 2.40/2.82 0 ==> 0
% 2.40/2.82 end
% 2.40/2.82
% 2.40/2.82 resolution: (17671) {G2,W5,D2,L1,V0,M1} { perp( skol27, skol27, skol20,
% 2.40/2.82 skol20 ) }.
% 2.40/2.82 parent0[0]: (136) {G1,W10,D2,L2,V3,M2} F(56) { ! cong( X, Y, Z, Y ), perp(
% 2.40/2.82 X, Z, Y, Y ) }.
% 2.40/2.82 parent1[0]: (12547) {G3,W5,D2,L1,V0,M1} R(519,2504) { cong( skol27, skol20
% 2.40/2.82 , skol27, skol20 ) }.
% 2.40/2.82 substitution0:
% 2.40/2.82 X := skol27
% 2.40/2.82 Y := skol20
% 2.40/2.82 Z := skol27
% 2.40/2.82 end
% 2.40/2.82 substitution1:
% 2.40/2.82 end
% 2.40/2.82
% 2.40/2.82 subsumption: (12689) {G4,W5,D2,L1,V0,M1} R(12547,136) { perp( skol27,
% 2.40/2.82 skol27, skol20, skol20 ) }.
% 2.40/2.82 parent0: (17671) {G2,W5,D2,L1,V0,M1} { perp( skol27, skol27, skol20,
% 2.40/2.82 skol20 ) }.
% 2.40/2.82 substitution0:
% 2.40/2.82 end
% 2.40/2.82 permutation0:
% 2.40/2.82 0 ==> 0
% 2.40/2.82 end
% 2.40/2.82
% 2.40/2.82 resolution: (17672) {G2,W5,D2,L1,V0,M1} { perp( skol20, skol20, skol27,
% 2.40/2.82 skol27 ) }.
% 2.40/2.82 parent0[0]: (290) {G1,W10,D2,L2,V4,M2} R(7,6) { ! perp( X, Y, Z, T ), perp
% 2.40/2.82 ( Z, T, Y, X ) }.
% 2.40/2.82 parent1[0]: (12689) {G4,W5,D2,L1,V0,M1} R(12547,136) { perp( skol27, skol27
% 2.40/2.82 , skol20, skol20 ) }.
% 2.40/2.82 substitution0:
% 2.40/2.82 X := skol27
% 2.40/2.82 Y := skol27
% 2.40/2.82 Z := skol20
% 2.40/2.82 T := skol20
% 2.40/2.82 end
% 2.40/2.82 substitution1:
% 2.40/2.82 end
% 2.40/2.82
% 2.40/2.82 subsumption: (12730) {G5,W5,D2,L1,V0,M1} R(12689,290) { perp( skol20,
% 2.40/2.82 skol20, skol27, skol27 ) }.
% 2.40/2.82 parent0: (17672) {G2,W5,D2,L1,V0,M1} { perp( skol20, skol20, skol27,
% 2.40/2.82 skol27 ) }.
% 2.40/2.82 substitution0:
% 2.40/2.82 end
% 2.40/2.82 permutation0:
% 2.40/2.82 0 ==> 0
% 2.40/2.82 end
% 2.40/2.82
% 2.40/2.82 resolution: (17673) {G2,W9,D2,L1,V2,M1} { eqangle( skol20, skol20, skol27
% 2.40/2.82 , skol27, X, Y, X, Y ) }.
% 2.40/2.82 parent0[1]: (444) {G1,W18,D2,L2,V8,M2} R(20,17) { eqangle( X, Y, Z, T, U, W
% 2.40/2.82 , V0, V1 ), ! eqangle( Y, X, U, W, Z, T, V0, V1 ) }.
% 2.40/2.82 parent1[0]: (7404) {G4,W9,D2,L1,V2,M1} R(7400,39) { eqangle( skol20, skol20
% 2.40/2.82 , X, Y, skol27, skol27, X, Y ) }.
% 2.40/2.82 substitution0:
% 2.40/2.82 X := skol20
% 2.40/2.82 Y := skol20
% 2.40/2.82 Z := skol27
% 2.40/2.82 T := skol27
% 2.40/2.82 U := X
% 2.40/2.82 W := Y
% 2.40/2.82 V0 := X
% 2.40/2.82 V1 := Y
% 2.40/2.82 end
% 2.40/2.82 substitution1:
% 2.40/2.82 X := X
% 2.40/2.82 Y := Y
% 2.40/2.82 end
% 2.40/2.82
% 2.40/2.82 subsumption: (13719) {G5,W9,D2,L1,V2,M1} R(7404,444) { eqangle( skol20,
% 2.40/2.82 skol20, skol27, skol27, X, Y, X, Y ) }.
% 2.40/2.82 parent0: (17673) {G2,W9,D2,L1,V2,M1} { eqangle( skol20, skol20, skol27,
% 2.40/2.82 skol27, X, Y, X, Y ) }.
% 2.40/2.82 substitution0:
% 2.40/2.82 X := X
% 2.40/2.82 Y := Y
% 2.40/2.82 end
% 2.40/2.82 permutation0:
% 2.40/2.82 0 ==> 0
% 2.40/2.82 end
% 2.40/2.82
% 2.40/2.82 resolution: (17674) {G2,W9,D2,L1,V2,M1} { eqangle( Y, X, X, Y, skol20,
% 2.40/2.82 skol20, skol27, skol27 ) }.
% 2.40/2.82 parent0[0]: (432) {G1,W18,D2,L2,V8,M2} R(19,17) { ! eqangle( X, Y, Z, T, U
% 2.40/2.82 , W, V0, V1 ), eqangle( W, U, V0, V1, X, Y, Z, T ) }.
% 2.40/2.82 parent1[0]: (13719) {G5,W9,D2,L1,V2,M1} R(7404,444) { eqangle( skol20,
% 2.40/2.82 skol20, skol27, skol27, X, Y, X, Y ) }.
% 2.40/2.82 substitution0:
% 2.40/2.82 X := skol20
% 2.40/2.82 Y := skol20
% 2.40/2.82 Z := skol27
% 2.40/2.82 T := skol27
% 2.40/2.82 U := X
% 2.40/2.82 W := Y
% 2.40/2.82 V0 := X
% 2.40/2.82 V1 := Y
% 2.40/2.82 end
% 2.40/2.82 substitution1:
% 2.40/2.82 X := X
% 2.40/2.82 Y := Y
% 2.40/2.82 end
% 2.40/2.82
% 2.40/2.82 subsumption: (13725) {G6,W9,D2,L1,V2,M1} R(13719,432) { eqangle( X, Y, Y, X
% 2.40/2.82 , skol20, skol20, skol27, skol27 ) }.
% 2.40/2.82 parent0: (17674) {G2,W9,D2,L1,V2,M1} { eqangle( Y, X, X, Y, skol20, skol20
% 2.40/2.82 , skol27, skol27 ) }.
% 2.40/2.82 substitution0:
% 2.40/2.82 X := Y
% 2.40/2.82 Y := X
% 2.40/2.82 end
% 2.40/2.82 permutation0:
% 2.40/2.82 0 ==> 0
% 2.40/2.82 end
% 2.40/2.82
% 2.40/2.82 resolution: (17675) {G1,W10,D2,L2,V2,M2} { ! perp( skol20, skol20, skol27
% 2.40/2.82 , skol27 ), perp( X, Y, Y, X ) }.
% 2.40/2.82 parent0[0]: (73) {G0,W19,D2,L3,V8,M3} I { ! eqangle( X, Y, Z, T, U, W, V0,
% 2.40/2.82 V1 ), ! perp( U, W, V0, V1 ), perp( X, Y, Z, T ) }.
% 2.40/2.82 parent1[0]: (13725) {G6,W9,D2,L1,V2,M1} R(13719,432) { eqangle( X, Y, Y, X
% 2.40/2.82 , skol20, skol20, skol27, skol27 ) }.
% 2.40/2.82 substitution0:
% 2.40/2.82 X := X
% 2.40/2.82 Y := Y
% 2.40/2.82 Z := Y
% 2.40/2.82 T := X
% 2.40/2.82 U := skol20
% 2.40/2.82 W := skol20
% 2.40/2.82 V0 := skol27
% 2.40/2.82 V1 := skol27
% 2.40/2.82 end
% 2.40/2.82 substitution1:
% 2.40/2.82 X := X
% 2.40/2.82 Y := Y
% 2.40/2.82 end
% 2.40/2.82
% 2.40/2.82 resolution: (17676) {G2,W5,D2,L1,V2,M1} { perp( X, Y, Y, X ) }.
% 2.40/2.82 parent0[0]: (17675) {G1,W10,D2,L2,V2,M2} { ! perp( skol20, skol20, skol27
% 2.40/2.82 , skol27 ), perp( X, Y, Y, X ) }.
% 2.40/2.82 parent1[0]: (12730) {G5,W5,D2,L1,V0,M1} R(12689,290) { perp( skol20, skol20
% 2.40/2.82 , skol27, skol27 ) }.
% 2.40/2.82 substitution0:
% 2.40/2.82 X := X
% 2.40/2.82 Y := Y
% 2.40/2.82 end
% 2.40/2.82 substitution1:
% 2.40/2.82 end
% 2.40/2.82
% 2.40/2.82 subsumption: (13731) {G7,W5,D2,L1,V2,M1} R(13725,73);r(12730) { perp( X, Y
% 2.40/2.82 , Y, X ) }.
% 2.40/2.82 parent0: (17676) {G2,W5,D2,L1,V2,M1} { perp( X, Y, Y, X ) }.
% 2.40/2.82 substitution0:
% 2.40/2.82 X := X
% 2.40/2.82 Y := Y
% 2.40/2.82 end
% 2.40/2.82 permutation0:
% 2.40/2.82 0 ==> 0
% 2.40/2.82 end
% 2.40/2.82
% 2.40/2.82 resolution: (17677) {G1,W9,D2,L2,V3,M2} { ! midp( Z, X, X ), cong( X, Z, Y
% 2.40/2.82 , Z ) }.
% 2.40/2.82 parent0[0]: (52) {G0,W14,D2,L3,V4,M3} I { ! perp( X, Y, Y, T ), ! midp( Z,
% 2.40/2.82 X, T ), cong( X, Z, Y, Z ) }.
% 2.40/2.82 parent1[0]: (13731) {G7,W5,D2,L1,V2,M1} R(13725,73);r(12730) { perp( X, Y,
% 2.40/2.82 Y, X ) }.
% 2.40/2.82 substitution0:
% 2.40/2.82 X := X
% 2.40/2.82 Y := Y
% 2.40/2.82 Z := Z
% 2.40/2.82 T := X
% 2.40/2.82 end
% 2.40/2.82 substitution1:
% 2.40/2.82 X := X
% 2.40/2.82 Y := Y
% 2.40/2.82 end
% 2.40/2.82
% 2.40/2.82 subsumption: (13763) {G8,W9,D2,L2,V3,M2} R(13731,52) { ! midp( X, Y, Y ),
% 2.40/2.82 cong( Y, X, Z, X ) }.
% 2.40/2.82 parent0: (17677) {G1,W9,D2,L2,V3,M2} { ! midp( Z, X, X ), cong( X, Z, Y, Z
% 2.40/2.82 ) }.
% 2.40/2.82 substitution0:
% 2.40/2.82 X := Y
% 2.40/2.82 Y := Z
% 2.40/2.82 Z := X
% 2.40/2.82 end
% 2.40/2.82 permutation0:
% 2.40/2.82 0 ==> 0
% 2.40/2.82 1 ==> 1
% 2.40/2.82 end
% 2.40/2.82
% 2.40/2.82 resolution: (17678) {G9,W9,D2,L2,V4,M2} { cong( Y, X, Z, X ), ! midp( X, T
% 2.40/2.82 , T ) }.
% 2.40/2.82 parent0[0]: (13763) {G8,W9,D2,L2,V3,M2} R(13731,52) { ! midp( X, Y, Y ),
% 2.40/2.82 cong( Y, X, Z, X ) }.
% 2.40/2.82 parent1[1]: (9573) {G24,W8,D2,L2,V3,M2} R(9569,140) { ! midp( X, Y, Y ),
% 2.40/2.82 midp( X, Z, Z ) }.
% 2.40/2.82 substitution0:
% 2.40/2.82 X := X
% 2.40/2.82 Y := Y
% 2.40/2.82 Z := Z
% 2.40/2.82 end
% 2.40/2.82 substitution1:
% 2.40/2.82 X := X
% 2.40/2.82 Y := T
% 2.40/2.82 Z := Y
% 2.40/2.82 end
% 2.40/2.82
% 2.40/2.82 subsumption: (16593) {G25,W9,D2,L2,V4,M2} R(13763,9573) { cong( X, Y, Z, Y
% 2.40/2.82 ), ! midp( Y, T, T ) }.
% 2.40/2.82 parent0: (17678) {G9,W9,D2,L2,V4,M2} { cong( Y, X, Z, X ), ! midp( X, T, T
% 2.40/2.82 ) }.
% 2.40/2.82 substitution0:
% 2.40/2.82 X := Y
% 2.40/2.82 Y := X
% 2.40/2.82 Z := Z
% 2.40/2.82 T := T
% 2.40/2.82 end
% 2.40/2.82 permutation0:
% 2.40/2.82 0 ==> 0
% 2.40/2.82 1 ==> 1
% 2.40/2.82 end
% 2.40/2.82
% 2.40/2.82 resolution: (17679) {G2,W9,D2,L2,V4,M2} { cong( Z, Y, Y, X ), ! midp( Y, T
% 2.40/2.82 , T ) }.
% 2.40/2.82 parent0[0]: (490) {G1,W10,D2,L2,V4,M2} R(23,22) { ! cong( X, Y, Z, T ),
% 2.40/2.82 cong( Z, T, Y, X ) }.
% 2.40/2.82 parent1[0]: (16593) {G25,W9,D2,L2,V4,M2} R(13763,9573) { cong( X, Y, Z, Y )
% 2.40/2.82 , ! midp( Y, T, T ) }.
% 2.40/2.82 substitution0:
% 2.40/2.82 X := X
% 2.40/2.82 Y := Y
% 2.40/2.82 Z := Z
% 2.40/2.82 T := Y
% 2.40/2.82 end
% 2.40/2.82 substitution1:
% 2.40/2.82 X := X
% 2.40/2.82 Y := Y
% 2.40/2.82 Z := Z
% 2.40/2.82 T := T
% 2.40/2.82 end
% 2.40/2.82
% 2.40/2.82 subsumption: (16612) {G26,W9,D2,L2,V4,M2} R(16593,490) { ! midp( X, Y, Y )
% 2.40/2.82 , cong( Z, X, X, T ) }.
% 2.40/2.82 parent0: (17679) {G2,W9,D2,L2,V4,M2} { cong( Z, Y, Y, X ), ! midp( Y, T, T
% 2.40/2.82 ) }.
% 2.40/2.82 substitution0:
% 2.40/2.82 X := T
% 2.40/2.82 Y := X
% 2.40/2.82 Z := Z
% 2.40/2.82 T := Y
% 2.40/2.82 end
% 2.40/2.82 permutation0:
% 2.40/2.82 0 ==> 1
% 2.40/2.82 1 ==> 0
% 2.40/2.82 end
% 2.40/2.82
% 2.40/2.82 resolution: (17680) {G2,W9,D2,L2,V4,M2} { cong( Y, Z, Y, X ), ! midp( Y, T
% 2.40/2.82 , T ) }.
% 2.40/2.82 parent0[0]: (490) {G1,W10,D2,L2,V4,M2} R(23,22) { ! cong( X, Y, Z, T ),
% 2.40/2.82 cong( Z, T, Y, X ) }.
% 2.40/2.82 parent1[1]: (16612) {G26,W9,D2,L2,V4,M2} R(16593,490) { ! midp( X, Y, Y ),
% 2.40/2.82 cong( Z, X, X, T ) }.
% 2.40/2.82 substitution0:
% 2.40/2.82 X := X
% 2.40/2.82 Y := Y
% 2.40/2.82 Z := Y
% 2.40/2.82 T := Z
% 2.40/2.82 end
% 2.40/2.82 substitution1:
% 2.40/2.82 X := Y
% 2.40/2.82 Y := T
% 2.40/2.82 Z := X
% 2.40/2.82 T := Z
% 2.40/2.82 end
% 2.40/2.82
% 2.40/2.82 subsumption: (16656) {G27,W9,D2,L2,V4,M2} R(16612,490) { ! midp( X, Y, Y )
% 2.40/2.82 , cong( X, Z, X, T ) }.
% 2.40/2.82 parent0: (17680) {G2,W9,D2,L2,V4,M2} { cong( Y, Z, Y, X ), ! midp( Y, T, T
% 2.40/2.82 ) }.
% 2.40/2.82 substitution0:
% 2.40/2.82 X := T
% 2.40/2.82 Y := X
% 2.40/2.82 Z := Z
% 2.40/2.82 T := Y
% 2.40/2.82 end
% 2.40/2.82 permutation0:
% 2.40/2.82 0 ==> 1
% 2.40/2.82 1 ==> 0
% 2.40/2.82 end
% 2.40/2.82
% 2.40/2.82 resolution: (17681) {G4,W9,D2,L2,V4,M2} { cyclic( X, Y, X, X ), ! midp( Z
% 2.40/2.82 , T, T ) }.
% 2.40/2.82 parent0[1]: (382) {G3,W10,D2,L2,V3,M2} F(381) { cyclic( X, Y, X, X ), !
% 2.40/2.82 cong( Z, Y, Z, X ) }.
% 2.40/2.82 parent1[1]: (16656) {G27,W9,D2,L2,V4,M2} R(16612,490) { ! midp( X, Y, Y ),
% 2.40/2.82 cong( X, Z, X, T ) }.
% 2.40/2.82 substitution0:
% 2.40/2.82 X := X
% 2.40/2.82 Y := Y
% 2.40/2.82 Z := Z
% 2.40/2.82 end
% 2.40/2.82 substitution1:
% 2.40/2.82 X := Z
% 2.40/2.82 Y := T
% 2.40/2.82 Z := Y
% 2.40/2.82 T := X
% 2.40/2.82 end
% 2.40/2.82
% 2.40/2.82 subsumption: (16711) {G28,W9,D2,L2,V4,M2} R(16656,382) { ! midp( X, Y, Y )
% 2.40/2.82 , cyclic( Z, T, Z, Z ) }.
% 2.40/2.82 parent0: (17681) {G4,W9,D2,L2,V4,M2} { cyclic( X, Y, X, X ), ! midp( Z, T
% 2.40/2.82 , T ) }.
% 2.40/2.82 substitution0:
% 2.40/2.82 X := Z
% 2.40/2.82 Y := T
% 2.40/2.82 Z := X
% 2.40/2.82 T := Y
% 2.40/2.82 end
% 2.40/2.82 permutation0:
% 2.40/2.82 0 ==> 1
% 2.40/2.82 1 ==> 0
% 2.40/2.82 end
% 2.40/2.82
% 2.40/2.82 resolution: (17682) {G26,W5,D2,L1,V2,M1} { cyclic( Y, Z, Y, Y ) }.
% 2.40/2.82 parent0[0]: (16711) {G28,W9,D2,L2,V4,M2} R(16656,382) { ! midp( X, Y, Y ),
% 2.40/2.82 cyclic( Z, T, Z, Z ) }.
% 2.40/2.82 parent1[0]: (9580) {G25,W6,D3,L1,V1,M1} R(9573,8288) { midp( skol7( skol22
% 2.40/2.82 , skol22 ), X, X ) }.
% 2.40/2.82 substitution0:
% 2.40/2.82 X := skol7( skol22, skol22 )
% 2.40/2.82 Y := X
% 2.40/2.82 Z := Y
% 2.40/2.82 T := Z
% 2.40/2.82 end
% 2.40/2.82 substitution1:
% 2.40/2.82 X := X
% 2.40/2.82 end
% 2.40/2.82
% 2.40/2.82 subsumption: (16735) {G29,W5,D2,L1,V2,M1} R(16711,9580) { cyclic( X, Y, X,
% 2.40/2.82 X ) }.
% 2.40/2.82 parent0: (17682) {G26,W5,D2,L1,V2,M1} { cyclic( Y, Z, Y, Y ) }.
% 2.40/2.82 substitution0:
% 2.40/2.82 X := Z
% 2.40/2.82 Y := X
% 2.40/2.82 Z := Y
% 2.40/2.82 end
% 2.40/2.82 permutation0:
% 2.40/2.82 0 ==> 0
% 2.40/2.82 end
% 2.40/2.82
% 2.40/2.82 resolution: (17683) {G2,W5,D2,L1,V2,M1} { cyclic( X, X, Y, X ) }.
% 2.40/2.82 parent0[1]: (374) {G1,W10,D2,L2,V4,M2} R(15,14) { cyclic( X, Y, Z, T ), !
% 2.40/2.82 cyclic( Y, Z, X, T ) }.
% 2.40/2.82 parent1[0]: (16735) {G29,W5,D2,L1,V2,M1} R(16711,9580) { cyclic( X, Y, X, X
% 2.40/2.82 ) }.
% 2.40/2.82 substitution0:
% 2.40/2.82 X := X
% 2.40/2.82 Y := X
% 2.40/2.82 Z := Y
% 2.40/2.82 T := X
% 2.40/2.82 end
% 2.40/2.82 substitution1:
% 2.40/2.82 X := X
% 2.40/2.82 Y := Y
% 2.40/2.82 end
% 2.40/2.82
% 2.40/2.82 subsumption: (16738) {G30,W5,D2,L1,V2,M1} R(16735,374) { cyclic( X, X, Y, X
% 2.40/2.82 ) }.
% 2.40/2.82 parent0: (17683) {G2,W5,D2,L1,V2,M1} { cyclic( X, X, Y, X ) }.
% 2.40/2.82 substitution0:
% 2.40/2.82 X := X
% 2.40/2.82 Y := Y
% 2.40/2.82 end
% 2.40/2.82 permutation0:
% 2.40/2.82 0 ==> 0
% 2.40/2.82 end
% 2.40/2.82
% 2.40/2.82 resolution: (17684) {G2,W5,D2,L1,V2,M1} { cyclic( X, X, X, Y ) }.
% 2.40/2.82 parent0[0]: (362) {G1,W10,D2,L2,V4,M2} R(14,13) { ! cyclic( X, Y, Z, T ),
% 2.40/2.82 cyclic( X, Z, T, Y ) }.
% 2.40/2.82 parent1[0]: (16735) {G29,W5,D2,L1,V2,M1} R(16711,9580) { cyclic( X, Y, X, X
% 2.40/2.82 ) }.
% 2.40/2.82 substitution0:
% 2.40/2.82 X := X
% 2.40/2.82 Y := Y
% 2.40/2.82 Z := X
% 2.40/2.82 T := X
% 2.40/2.82 end
% 2.40/2.82 substitution1:
% 2.40/2.82 X := X
% 2.40/2.82 Y := Y
% 2.40/2.82 end
% 2.40/2.82
% 2.40/2.82 subsumption: (16739) {G30,W5,D2,L1,V2,M1} R(16735,362) { cyclic( X, X, X, Y
% 2.40/2.82 ) }.
% 2.40/2.82 parent0: (17684) {G2,W5,D2,L1,V2,M1} { cyclic( X, X, X, Y ) }.
% 2.40/2.82 substitution0:
% 2.40/2.82 X := X
% 2.40/2.82 Y := Y
% 2.40/2.82 end
% 2.40/2.82 permutation0:
% 2.40/2.82 0 ==> 0
% 2.40/2.82 end
% 2.40/2.82
% 2.40/2.82 resolution: (17686) {G2,W10,D2,L2,V3,M2} { ! cyclic( X, X, X, Y ), cyclic
% 2.40/2.82 ( X, X, Y, Z ) }.
% 2.40/2.82 parent0[2]: (399) {G1,W15,D2,L3,V5,M3} R(16,13) { ! cyclic( X, Y, Z, T ),
% 2.40/2.82 cyclic( Y, Z, T, U ), ! cyclic( X, Y, U, Z ) }.
% 2.40/2.82 parent1[0]: (16738) {G30,W5,D2,L1,V2,M1} R(16735,374) { cyclic( X, X, Y, X
% 2.40/2.82 ) }.
% 2.40/2.82 substitution0:
% 2.40/2.82 X := X
% 2.40/2.82 Y := X
% 2.40/2.82 Z := X
% 2.40/2.82 T := Y
% 2.40/2.82 U := Z
% 2.40/2.82 end
% 2.40/2.82 substitution1:
% 2.40/2.82 X := X
% 2.40/2.82 Y := Z
% 2.40/2.82 end
% 2.40/2.82
% 2.40/2.82 resolution: (17687) {G3,W5,D2,L1,V3,M1} { cyclic( X, X, Y, Z ) }.
% 2.40/2.82 parent0[0]: (17686) {G2,W10,D2,L2,V3,M2} { ! cyclic( X, X, X, Y ), cyclic
% 2.40/2.82 ( X, X, Y, Z ) }.
% 2.40/2.82 parent1[0]: (16739) {G30,W5,D2,L1,V2,M1} R(16735,362) { cyclic( X, X, X, Y
% 2.40/2.82 ) }.
% 2.40/2.82 substitution0:
% 2.40/2.82 X := X
% 2.40/2.82 Y := Y
% 2.40/2.82 Z := Z
% 2.40/2.82 end
% 2.40/2.82 substitution1:
% 2.40/2.82 X := X
% 2.40/2.82 Y := Y
% 2.40/2.82 end
% 2.40/2.82
% 2.40/2.82 subsumption: (16744) {G31,W5,D2,L1,V3,M1} R(16738,399);r(16739) { cyclic( X
% 2.40/2.82 , X, Y, Z ) }.
% 2.40/2.82 parent0: (17687) {G3,W5,D2,L1,V3,M1} { cyclic( X, X, Y, Z ) }.
% 2.40/2.82 substitution0:
% 2.40/2.82 X := X
% 2.40/2.82 Y := Y
% 2.40/2.82 Z := Z
% 2.40/2.82 end
% 2.40/2.82 permutation0:
% 2.40/2.82 0 ==> 0
% 2.40/2.82 end
% 2.40/2.82
% 2.40/2.82 resolution: (17688) {G14,W5,D2,L1,V0,M1} { ! cyclic( skol20, skol20,
% 2.40/2.82 skol23, skol24 ) }.
% 2.40/2.82 parent0[0]: (593) {G13,W10,D2,L2,V1,M2} R(591,16) { ! cyclic( X, skol20,
% 2.40/2.82 skol23, skol22 ), ! cyclic( X, skol20, skol23, skol24 ) }.
% 2.40/2.82 parent1[0]: (16744) {G31,W5,D2,L1,V3,M1} R(16738,399);r(16739) { cyclic( X
% 2.40/2.82 , X, Y, Z ) }.
% 2.40/2.82 substitution0:
% 2.40/2.82 X := skol20
% 2.40/2.82 end
% 2.40/2.82 substitution1:
% 2.40/2.82 X := skol20
% 2.40/2.82 Y := skol23
% 2.40/2.82 Z := skol22
% 2.40/2.82 end
% 2.40/2.82
% 2.40/2.82 resolution: (17690) {G15,W0,D0,L0,V0,M0} { }.
% 2.40/2.82 parent0[0]: (17688) {G14,W5,D2,L1,V0,M1} { ! cyclic( skol20, skol20,
% 2.40/2.82 skol23, skol24 ) }.
% 2.40/2.82 parent1[0]: (16744) {G31,W5,D2,L1,V3,M1} R(16738,399);r(16739) { cyclic( X
% 2.40/2.82 , X, Y, Z ) }.
% 2.40/2.82 substitution0:
% 2.40/2.82 end
% 2.40/2.82 substitution1:
% 2.40/2.82 X := skol20
% 2.40/2.82 Y := skol23
% 2.40/2.82 Z := skol24
% 2.40/2.82 end
% 2.40/2.82
% 2.40/2.82 subsumption: (16761) {G32,W0,D0,L0,V0,M0} R(16744,593);r(16744) { }.
% 2.40/2.82 parent0: (17690) {G15,W0,D0,L0,V0,M0} { }.
% 2.40/2.82 substitution0:
% 2.40/2.82 end
% 2.40/2.82 permutation0:
% 2.40/2.82 end
% 2.40/2.82
% 2.40/2.82 Proof check complete!
% 2.40/2.82
% 2.40/2.82 Memory use:
% 2.40/2.82
% 2.40/2.82 space for terms: 281230
% 2.40/2.82 space for clauses: 856602
% 2.40/2.82
% 2.40/2.82
% 2.40/2.82 clauses generated: 122567
% 2.40/2.82 clauses kept: 16762
% 2.40/2.82 clauses selected: 1771
% 2.40/2.82 clauses deleted: 1089
% 2.40/2.82 clauses inuse deleted: 565
% 2.40/2.82
% 2.40/2.82 subsentry: 1124104
% 2.40/2.82 literals s-matched: 782496
% 2.40/2.82 literals matched: 415383
% 2.40/2.82 full subsumption: 164296
% 2.40/2.82
% 2.40/2.82 checksum: 1408044140
% 2.40/2.82
% 2.40/2.82
% 2.40/2.82 Bliksem ended
%------------------------------------------------------------------------------