TSTP Solution File: GEO541+1 by Bliksem---1.12
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- Process Solution
%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : GEO541+1 : TPTP v8.1.0. Released v7.5.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n019.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 02:54:35 EDT 2022
% Result : Theorem 4.51s 4.92s
% Output : Refutation 4.51s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : GEO541+1 : TPTP v8.1.0. Released v7.5.0.
% 0.07/0.13 % Command : bliksem %s
% 0.13/0.34 % Computer : n019.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % DateTime : Sat Jun 18 12:40:39 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.77/1.16 *** allocated 10000 integers for termspace/termends
% 0.77/1.16 *** allocated 10000 integers for clauses
% 0.77/1.16 *** allocated 10000 integers for justifications
% 0.77/1.16 Bliksem 1.12
% 0.77/1.16
% 0.77/1.16
% 0.77/1.16 Automatic Strategy Selection
% 0.77/1.16
% 0.77/1.16 *** allocated 15000 integers for termspace/termends
% 0.77/1.16
% 0.77/1.16 Clauses:
% 0.77/1.16
% 0.77/1.16 { ! coll( X, Y, Z ), coll( X, Z, Y ) }.
% 0.77/1.16 { ! coll( X, Y, Z ), coll( Y, X, Z ) }.
% 0.77/1.16 { ! coll( X, T, Y ), ! coll( X, T, Z ), coll( Y, Z, X ) }.
% 0.77/1.16 { ! para( X, Y, Z, T ), para( X, Y, T, Z ) }.
% 0.77/1.16 { ! para( X, Y, Z, T ), para( Z, T, X, Y ) }.
% 0.77/1.16 { ! para( X, Y, U, W ), ! para( U, W, Z, T ), para( X, Y, Z, T ) }.
% 0.77/1.16 { ! perp( X, Y, Z, T ), perp( X, Y, T, Z ) }.
% 0.77/1.16 { ! perp( X, Y, Z, T ), perp( Z, T, X, Y ) }.
% 0.77/1.16 { ! perp( X, Y, U, W ), ! perp( U, W, Z, T ), para( X, Y, Z, T ) }.
% 0.77/1.16 { ! para( X, Y, U, W ), ! perp( U, W, Z, T ), perp( X, Y, Z, T ) }.
% 0.77/1.16 { ! midp( Z, Y, X ), midp( Z, X, Y ) }.
% 0.77/1.16 { ! cong( T, X, T, Y ), ! cong( T, X, T, Z ), circle( T, X, Y, Z ) }.
% 0.77/1.16 { ! cong( U, X, U, Y ), ! cong( U, X, U, Z ), ! cong( U, X, U, T ), cyclic
% 0.77/1.16 ( X, Y, Z, T ) }.
% 0.77/1.16 { ! cyclic( X, Y, Z, T ), cyclic( X, Y, T, Z ) }.
% 0.77/1.16 { ! cyclic( X, Y, Z, T ), cyclic( X, Z, Y, T ) }.
% 0.77/1.16 { ! cyclic( X, Y, Z, T ), cyclic( Y, X, Z, T ) }.
% 0.77/1.16 { ! cyclic( U, X, Y, Z ), ! cyclic( U, X, Y, T ), cyclic( X, Y, Z, T ) }.
% 0.77/1.16 { ! eqangle( X, Y, Z, T, U, W, V0, V1 ), eqangle( Y, X, Z, T, U, W, V0, V1
% 0.77/1.16 ) }.
% 0.77/1.16 { ! eqangle( X, Y, Z, T, U, W, V0, V1 ), eqangle( Z, T, X, Y, V0, V1, U, W
% 0.77/1.16 ) }.
% 0.77/1.16 { ! eqangle( X, Y, Z, T, U, W, V0, V1 ), eqangle( U, W, V0, V1, X, Y, Z, T
% 0.77/1.16 ) }.
% 0.77/1.16 { ! eqangle( X, Y, Z, T, U, W, V0, V1 ), eqangle( X, Y, U, W, Z, T, V0, V1
% 0.77/1.16 ) }.
% 0.77/1.16 { ! eqangle( X, Y, Z, T, V2, V3, V4, V5 ), ! eqangle( V2, V3, V4, V5, U, W
% 0.77/1.16 , V0, V1 ), eqangle( X, Y, Z, T, U, W, V0, V1 ) }.
% 0.77/1.16 { ! cong( X, Y, Z, T ), cong( X, Y, T, Z ) }.
% 0.77/1.16 { ! cong( X, Y, Z, T ), cong( Z, T, X, Y ) }.
% 0.77/1.16 { ! cong( X, Y, U, W ), ! cong( U, W, Z, T ), cong( X, Y, Z, T ) }.
% 0.77/1.16 { ! eqratio( X, Y, Z, T, U, W, V0, V1 ), eqratio( Y, X, Z, T, U, W, V0, V1
% 0.77/1.16 ) }.
% 0.77/1.16 { ! eqratio( X, Y, Z, T, U, W, V0, V1 ), eqratio( Z, T, X, Y, V0, V1, U, W
% 0.77/1.16 ) }.
% 0.77/1.16 { ! eqratio( X, Y, Z, T, U, W, V0, V1 ), eqratio( U, W, V0, V1, X, Y, Z, T
% 0.77/1.16 ) }.
% 0.77/1.16 { ! eqratio( X, Y, Z, T, U, W, V0, V1 ), eqratio( X, Y, U, W, Z, T, V0, V1
% 0.77/1.16 ) }.
% 0.77/1.16 { ! eqratio( X, Y, Z, T, V2, V3, V4, V5 ), ! eqratio( V2, V3, V4, V5, U, W
% 0.77/1.16 , V0, V1 ), eqratio( X, Y, Z, T, U, W, V0, V1 ) }.
% 0.77/1.16 { ! simtri( X, Z, Y, T, W, U ), simtri( X, Y, Z, T, U, W ) }.
% 0.77/1.16 { ! simtri( Y, X, Z, U, T, W ), simtri( X, Y, Z, T, U, W ) }.
% 0.77/1.16 { ! simtri( T, U, W, X, Y, Z ), simtri( X, Y, Z, T, U, W ) }.
% 0.77/1.16 { ! simtri( X, Y, Z, V0, V1, V2 ), ! simtri( V0, V1, V2, T, U, W ), simtri
% 0.77/1.16 ( X, Y, Z, T, U, W ) }.
% 0.77/1.16 { ! contri( X, Z, Y, T, W, U ), contri( X, Y, Z, T, U, W ) }.
% 0.77/1.16 { ! contri( Y, X, Z, U, T, W ), contri( X, Y, Z, T, U, W ) }.
% 0.77/1.16 { ! contri( T, U, W, X, Y, Z ), contri( X, Y, Z, T, U, W ) }.
% 0.77/1.16 { ! contri( X, Y, Z, V0, V1, V2 ), ! contri( V0, V1, V2, T, U, W ), contri
% 0.77/1.16 ( X, Y, Z, T, U, W ) }.
% 0.77/1.16 { ! eqangle( X, Y, U, W, Z, T, U, W ), para( X, Y, Z, T ) }.
% 0.77/1.16 { ! para( X, Y, Z, T ), eqangle( X, Y, U, W, Z, T, U, W ) }.
% 0.77/1.16 { ! cyclic( X, Y, Z, T ), eqangle( Z, X, Z, Y, T, X, T, Y ) }.
% 0.77/1.16 { ! eqangle( Z, X, Z, Y, T, X, T, Y ), coll( Z, T, X ), cyclic( X, Y, Z, T
% 0.77/1.16 ) }.
% 0.77/1.16 { ! eqangle( Z, X, Z, Y, T, X, T, Y ), ! coll( Z, T, Y ), cyclic( X, Y, Z,
% 0.77/1.16 T ) }.
% 0.77/1.16 { ! cyclic( X, Y, U, Z ), ! cyclic( X, Y, U, T ), ! cyclic( X, Y, U, W ), !
% 0.77/1.16 eqangle( U, X, U, Y, W, Z, W, T ), cong( X, Y, Z, T ) }.
% 0.77/1.16 { ! midp( Z, U, X ), ! midp( T, U, Y ), para( Z, T, X, Y ) }.
% 0.77/1.16 { ! midp( U, X, T ), ! para( U, Z, T, Y ), ! coll( Z, X, Y ), midp( Z, X, Y
% 0.77/1.16 ) }.
% 0.77/1.16 { ! cong( Z, X, Z, Y ), eqangle( Z, X, X, Y, X, Y, Z, Y ) }.
% 0.77/1.16 { ! eqangle( Z, X, X, Y, X, Y, Z, Y ), coll( Z, X, Y ), cong( Z, X, Z, Y )
% 0.77/1.16 }.
% 0.77/1.16 { ! circle( U, X, Y, Z ), ! perp( U, X, X, T ), eqangle( X, T, X, Y, Z, X,
% 0.77/1.16 Z, Y ) }.
% 0.77/1.16 { ! circle( Y, X, T, U ), ! eqangle( X, Z, X, T, U, X, U, T ), perp( Y, X,
% 0.77/1.16 X, Z ) }.
% 0.77/1.16 { ! circle( T, X, Y, Z ), ! midp( U, Y, Z ), eqangle( X, Y, X, Z, T, Y, T,
% 0.77/1.16 U ) }.
% 0.77/1.16 { ! circle( U, T, X, Y ), ! coll( Z, X, Y ), ! eqangle( T, X, T, Y, U, X, U
% 0.77/1.16 , Z ), midp( Z, X, Y ) }.
% 0.77/1.16 { ! perp( X, Y, Y, T ), ! midp( Z, X, T ), cong( X, Z, Y, Z ) }.
% 0.77/1.16 { ! circle( T, X, Y, Z ), ! coll( T, X, Z ), perp( X, Y, Y, Z ) }.
% 0.77/1.16 { ! cyclic( X, Y, Z, T ), ! para( X, Y, Z, T ), eqangle( X, T, Z, T, Z, T,
% 0.77/1.16 Z, Y ) }.
% 0.77/1.16 { ! midp( T, X, Y ), ! perp( Z, T, X, Y ), cong( Z, X, Z, Y ) }.
% 0.77/1.16 { ! cong( X, Z, Y, Z ), ! cong( X, T, Y, T ), perp( X, Y, Z, T ) }.
% 0.77/1.16 { ! cong( X, Y, T, Y ), ! cong( X, Z, T, Z ), ! cyclic( X, T, Y, Z ), perp
% 0.77/1.16 ( Y, X, X, Z ) }.
% 0.77/1.16 { ! eqangle( X, Y, Y, Z, T, U, U, W ), ! eqangle( X, Z, Y, Z, T, W, U, W )
% 0.77/1.16 , coll( X, Y, Z ), simtri( X, Y, Z, T, U, W ) }.
% 0.77/1.16 { ! simtri( X, Y, Z, T, U, W ), eqratio( X, Y, X, Z, T, U, T, W ) }.
% 0.77/1.16 { ! simtri( X, Y, Z, T, U, W ), eqangle( X, Y, Y, Z, T, U, U, W ) }.
% 0.77/1.16 { ! simtri( X, Y, Z, T, U, W ), ! cong( X, Y, T, U ), contri( X, Y, Z, T, U
% 0.77/1.16 , W ) }.
% 0.77/1.16 { ! contri( X, Y, U, Z, T, W ), cong( X, Y, Z, T ) }.
% 0.77/1.16 { ! midp( U, X, Y ), ! midp( U, Z, T ), para( X, Z, Y, T ) }.
% 0.77/1.16 { ! midp( Z, T, U ), ! para( T, X, U, Y ), ! para( T, Y, U, X ), midp( Z, X
% 0.77/1.16 , Y ) }.
% 0.77/1.16 { ! para( X, Y, Z, T ), ! coll( U, X, Z ), ! coll( U, Y, T ), eqratio( U, X
% 0.77/1.16 , X, Z, U, Y, Y, T ) }.
% 0.77/1.16 { ! para( X, Y, X, Z ), coll( X, Y, Z ) }.
% 0.77/1.16 { ! cong( X, Y, X, Z ), ! coll( X, Y, Z ), midp( X, Y, Z ) }.
% 0.77/1.16 { ! midp( X, Y, Z ), cong( X, Y, X, Z ) }.
% 0.77/1.16 { ! midp( X, Y, Z ), coll( X, Y, Z ) }.
% 0.77/1.16 { ! midp( U, X, Y ), ! midp( W, Z, T ), eqratio( U, X, X, Y, W, Z, Z, T ) }
% 0.77/1.16 .
% 0.77/1.16 { ! eqangle( X, Y, Z, T, Z, T, X, Y ), para( X, Y, Z, T ), perp( X, Y, Z, T
% 0.77/1.16 ) }.
% 0.77/1.16 { ! eqangle( X, Y, Z, T, Z, T, X, Y ), perp( X, Y, Z, T ), para( X, Y, Z, T
% 0.77/1.16 ) }.
% 0.77/1.16 { ! eqangle( X, Y, Z, T, U, W, V0, V1 ), ! para( U, W, V0, V1 ), para( X, Y
% 0.77/1.16 , Z, T ) }.
% 0.77/1.16 { ! eqangle( X, Y, Z, T, U, W, V0, V1 ), ! perp( U, W, V0, V1 ), perp( X, Y
% 0.77/1.16 , Z, T ) }.
% 0.77/1.16 { ! eqratio( X, Y, Z, T, U, W, V0, V1 ), ! cong( U, W, V0, V1 ), cong( X, Y
% 0.77/1.16 , Z, T ) }.
% 0.77/1.16 { ! perp( Z, Y, Y, X ), ! eqangle( T, Z, Y, Z, Y, Z, X, Z ), coll( skol1( U
% 0.77/1.16 , W, Z, T ), Z, T ) }.
% 0.77/1.16 { ! perp( Z, Y, Y, X ), ! eqangle( T, Z, Y, Z, Y, Z, X, Z ), coll( skol1( X
% 0.77/1.16 , Y, Z, T ), X, Y ) }.
% 0.77/1.16 { ! cong( Z, X, Z, Y ), ! eqangle( X, Z, Z, T, Z, T, Z, Y ), coll( skol2( U
% 0.77/1.16 , W, Z, T ), Z, T ) }.
% 0.77/1.16 { ! cong( Z, X, Z, Y ), ! eqangle( X, Z, Z, T, Z, T, Z, Y ), coll( Y, X,
% 0.77/1.16 skol2( X, Y, Z, T ) ) }.
% 0.77/1.16 { ! perp( Z, T, X, Y ), ! eqangle( X, Z, Z, T, Z, T, Z, Y ), coll( skol3( U
% 0.77/1.16 , W, Z, T ), Z, T ) }.
% 0.77/1.16 { ! perp( Z, T, X, Y ), ! eqangle( X, Z, Z, T, Z, T, Z, Y ), coll( Y, X,
% 0.77/1.16 skol3( X, Y, Z, T ) ) }.
% 0.77/1.16 { ! perp( Z, T, X, Y ), ! cong( Z, X, Z, Y ), coll( skol4( U, W, Z, T ), Z
% 0.77/1.16 , T ) }.
% 0.77/1.16 { ! perp( Z, T, X, Y ), ! cong( Z, X, Z, Y ), coll( Y, X, skol4( X, Y, Z, T
% 0.77/1.16 ) ) }.
% 0.77/1.16 { ! eqangle( X, Z, Y, Z, X, T, Y, U ), coll( X, Y, Z ), cyclic( T, Y, Z,
% 0.77/1.16 skol5( W, Y, Z, T ) ) }.
% 0.77/1.16 { ! eqangle( X, Z, Y, Z, X, T, Y, U ), coll( X, Y, Z ), eqangle( X, Z, Y, Z
% 0.77/1.16 , X, skol5( X, Y, Z, T ), Y, skol5( X, Y, Z, T ) ) }.
% 0.77/1.16 { ! midp( U, X, Y ), ! midp( W, Z, T ), midp( skol6( X, V0, V1, T, V2, V3 )
% 0.77/1.16 , X, T ) }.
% 0.77/1.16 { ! midp( U, X, Y ), ! midp( W, Z, T ), para( skol6( X, V0, Z, T, V1, W ),
% 0.77/1.16 W, X, Z ) }.
% 0.77/1.16 { ! midp( U, X, Y ), ! midp( W, Z, T ), para( skol6( X, Y, Z, T, U, W ), U
% 0.77/1.16 , Y, T ) }.
% 0.77/1.16 { ! midp( Z, X, Y ), ! midp( W, T, U ), ! coll( T, X, Y ), ! coll( U, X, Y
% 0.77/1.16 ), midp( skol7( X, V0 ), X, V0 ) }.
% 0.77/1.16 { ! midp( T, X, U ), ! para( X, W, Z, T ), ! para( X, W, U, Y ), ! coll( W
% 0.77/1.16 , Y, Z ), coll( skol8( V0, V1, Z, T ), T, Z ) }.
% 0.77/1.16 { ! midp( T, X, U ), ! para( X, W, Z, T ), ! para( X, W, U, Y ), ! coll( W
% 0.77/1.16 , Y, Z ), coll( skol8( X, Y, Z, T ), X, Y ) }.
% 0.77/1.16 { ! cong( T, Z, T, U ), ! perp( X, Y, Y, T ), cong( T, Z, T, skol9( W, V0,
% 0.77/1.16 Z, T ) ) }.
% 0.77/1.16 { ! cong( T, Z, T, U ), ! perp( X, Y, Y, T ), cong( Y, Z, Y, skol9( W, Y, Z
% 0.77/1.16 , T ) ) }.
% 0.77/1.16 { ! cong( T, Z, T, U ), ! perp( X, Y, Y, T ), para( skol9( X, Y, Z, T ), Z
% 0.77/1.16 , X, Y ) }.
% 0.77/1.16 { ! perp( X, T, Y, Z ), ! perp( Y, T, X, Z ), coll( skol10( U, Y, Z ), Z, Y
% 0.77/1.16 ) }.
% 0.77/1.16 { ! perp( X, T, Y, Z ), ! perp( Y, T, X, Z ), perp( X, skol10( X, Y, Z ), Z
% 0.77/1.16 , Y ) }.
% 0.77/1.16 { ! perp( X, T, Y, Z ), ! perp( Y, T, X, Z ), alpha1( X, Y, Z ) }.
% 0.77/1.16 { ! alpha1( X, Y, Z ), coll( skol11( X, T, Z ), Z, X ) }.
% 0.77/1.16 { ! alpha1( X, Y, Z ), perp( Y, skol11( X, Y, Z ), Z, X ) }.
% 0.77/1.16 { ! coll( T, Z, X ), ! perp( Y, T, Z, X ), alpha1( X, Y, Z ) }.
% 0.77/1.16 { ! circle( Y, X, Z, T ), perp( skol12( X, Y ), X, X, Y ) }.
% 4.51/4.92 { ! circle( W, X, Y, Z ), ! cong( W, X, W, T ), ! cong( U, X, U, Y ), W = U
% 4.51/4.92 , alpha2( X, Z, U, skol13( X, V0, Z, V1, U ) ) }.
% 4.51/4.92 { ! circle( W, X, Y, Z ), ! cong( W, X, W, T ), ! cong( U, X, U, Y ), W = U
% 4.51/4.92 , coll( skol21( V0, Y, T, V1 ), Y, T ) }.
% 4.51/4.92 { ! circle( W, X, Y, Z ), ! cong( W, X, W, T ), ! cong( U, X, U, Y ), W = U
% 4.51/4.92 , cong( skol21( X, Y, T, U ), U, U, X ) }.
% 4.51/4.92 { ! alpha2( X, Y, Z, T ), coll( T, X, Y ) }.
% 4.51/4.92 { ! alpha2( X, Y, Z, T ), cong( T, Z, Z, X ) }.
% 4.51/4.92 { ! coll( T, X, Y ), ! cong( T, Z, Z, X ), alpha2( X, Y, Z, T ) }.
% 4.51/4.92 { ! cyclic( X, Y, Z, T ), ! para( X, Y, Z, T ), ! midp( U, X, Y ), circle(
% 4.51/4.92 skol14( X, Y, Z ), X, Y, Z ) }.
% 4.51/4.92 { ! perp( X, Z, Z, Y ), ! cyclic( X, Y, Z, T ), circle( skol15( X, Y, Z ),
% 4.51/4.92 X, Y, Z ) }.
% 4.51/4.92 { ! perp( X, U, U, T ), ! coll( T, Y, Z ), coll( skol16( W, Y, Z ), Y, Z )
% 4.51/4.92 }.
% 4.51/4.92 { ! perp( X, U, U, T ), ! coll( T, Y, Z ), perp( skol16( X, Y, Z ), X, Y, Z
% 4.51/4.92 ) }.
% 4.51/4.92 { ! perp( X, Z, X, Y ), ! perp( Y, X, Y, T ), ! midp( U, Z, T ), midp(
% 4.51/4.92 skol17( X, Y ), X, Y ) }.
% 4.51/4.92 { ! cong( Y, X, Y, Z ), ! perp( X, Y, Y, Z ), coll( X, Y, skol18( X, Y ) )
% 4.51/4.92 }.
% 4.51/4.92 { ! cong( Y, X, Y, Z ), ! perp( X, Y, Y, Z ), cong( Y, X, Y, skol18( X, Y )
% 4.51/4.92 ) }.
% 4.51/4.92 { ! para( U, W, X, Y ), ! coll( Z, U, X ), ! coll( Z, W, Y ), ! coll( T, U
% 4.51/4.92 , W ), coll( Z, T, skol19( V0, V1, Z, T ) ) }.
% 4.51/4.92 { ! para( U, W, X, Y ), ! coll( Z, U, X ), ! coll( Z, W, Y ), ! coll( T, U
% 4.51/4.92 , W ), coll( skol19( X, Y, Z, T ), X, Y ) }.
% 4.51/4.92 { perp( skol20, skol27, skol25, skol26 ) }.
% 4.51/4.92 { coll( skol20, skol25, skol26 ) }.
% 4.51/4.92 { perp( skol22, skol26, skol25, skol27 ) }.
% 4.51/4.92 { coll( skol22, skol25, skol27 ) }.
% 4.51/4.92 { midp( skol23, skol27, skol26 ) }.
% 4.51/4.92 { midp( skol24, skol20, skol22 ) }.
% 4.51/4.92 { ! perp( skol23, skol24, skol20, skol22 ) }.
% 4.51/4.92
% 4.51/4.92 percentage equality = 0.008798, percentage horn = 0.926829
% 4.51/4.92 This is a problem with some equality
% 4.51/4.92
% 4.51/4.92
% 4.51/4.92
% 4.51/4.92 Options Used:
% 4.51/4.92
% 4.51/4.92 useres = 1
% 4.51/4.92 useparamod = 1
% 4.51/4.92 useeqrefl = 1
% 4.51/4.92 useeqfact = 1
% 4.51/4.92 usefactor = 1
% 4.51/4.92 usesimpsplitting = 0
% 4.51/4.92 usesimpdemod = 5
% 4.51/4.92 usesimpres = 3
% 4.51/4.92
% 4.51/4.92 resimpinuse = 1000
% 4.51/4.92 resimpclauses = 20000
% 4.51/4.92 substype = eqrewr
% 4.51/4.92 backwardsubs = 1
% 4.51/4.92 selectoldest = 5
% 4.51/4.92
% 4.51/4.92 litorderings [0] = split
% 4.51/4.92 litorderings [1] = extend the termordering, first sorting on arguments
% 4.51/4.92
% 4.51/4.92 termordering = kbo
% 4.51/4.92
% 4.51/4.92 litapriori = 0
% 4.51/4.92 termapriori = 1
% 4.51/4.92 litaposteriori = 0
% 4.51/4.92 termaposteriori = 0
% 4.51/4.92 demodaposteriori = 0
% 4.51/4.92 ordereqreflfact = 0
% 4.51/4.92
% 4.51/4.92 litselect = negord
% 4.51/4.92
% 4.51/4.92 maxweight = 15
% 4.51/4.92 maxdepth = 30000
% 4.51/4.92 maxlength = 115
% 4.51/4.92 maxnrvars = 195
% 4.51/4.92 excuselevel = 1
% 4.51/4.92 increasemaxweight = 1
% 4.51/4.92
% 4.51/4.92 maxselected = 10000000
% 4.51/4.92 maxnrclauses = 10000000
% 4.51/4.92
% 4.51/4.92 showgenerated = 0
% 4.51/4.92 showkept = 0
% 4.51/4.92 showselected = 0
% 4.51/4.92 showdeleted = 0
% 4.51/4.92 showresimp = 1
% 4.51/4.92 showstatus = 2000
% 4.51/4.92
% 4.51/4.92 prologoutput = 0
% 4.51/4.92 nrgoals = 5000000
% 4.51/4.92 totalproof = 1
% 4.51/4.92
% 4.51/4.92 Symbols occurring in the translation:
% 4.51/4.92
% 4.51/4.92 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 4.51/4.92 . [1, 2] (w:1, o:36, a:1, s:1, b:0),
% 4.51/4.92 ! [4, 1] (w:0, o:31, a:1, s:1, b:0),
% 4.51/4.92 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 4.51/4.92 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 4.51/4.92 coll [38, 3] (w:1, o:64, a:1, s:1, b:0),
% 4.51/4.92 para [40, 4] (w:1, o:72, a:1, s:1, b:0),
% 4.51/4.92 perp [43, 4] (w:1, o:73, a:1, s:1, b:0),
% 4.51/4.92 midp [45, 3] (w:1, o:65, a:1, s:1, b:0),
% 4.51/4.92 cong [47, 4] (w:1, o:74, a:1, s:1, b:0),
% 4.51/4.92 circle [48, 4] (w:1, o:75, a:1, s:1, b:0),
% 4.51/4.92 cyclic [49, 4] (w:1, o:76, a:1, s:1, b:0),
% 4.51/4.92 eqangle [54, 8] (w:1, o:91, a:1, s:1, b:0),
% 4.51/4.92 eqratio [57, 8] (w:1, o:92, a:1, s:1, b:0),
% 4.51/4.92 simtri [59, 6] (w:1, o:88, a:1, s:1, b:0),
% 4.51/4.92 contri [60, 6] (w:1, o:89, a:1, s:1, b:0),
% 4.51/4.92 alpha1 [64, 3] (w:1, o:66, a:1, s:1, b:1),
% 4.51/4.92 alpha2 [65, 4] (w:1, o:77, a:1, s:1, b:1),
% 4.51/4.92 skol1 [66, 4] (w:1, o:78, a:1, s:1, b:1),
% 4.51/4.92 skol2 [67, 4] (w:1, o:80, a:1, s:1, b:1),
% 4.51/4.92 skol3 [68, 4] (w:1, o:82, a:1, s:1, b:1),
% 4.51/4.92 skol4 [69, 4] (w:1, o:83, a:1, s:1, b:1),
% 4.51/4.92 skol5 [70, 4] (w:1, o:84, a:1, s:1, b:1),
% 4.51/4.92 skol6 [71, 6] (w:1, o:90, a:1, s:1, b:1),
% 4.51/4.92 skol7 [72, 2] (w:1, o:60, a:1, s:1, b:1),
% 4.51/4.92 skol8 [73, 4] (w:1, o:85, a:1, s:1, b:1),
% 4.51/4.92 skol9 [74, 4] (w:1, o:86, a:1, s:1, b:1),
% 4.51/4.92 skol10 [75, 3] (w:1, o:67, a:1, s:1, b:1),
% 4.51/4.92 skol11 [76, 3] (w:1, o:68, a:1, s:1, b:1),
% 4.51/4.92 skol12 [77, 2] (w:1, o:61, a:1, s:1, b:1),
% 4.51/4.92 skol13 [78, 5] (w:1, o:87, a:1, s:1, b:1),
% 4.51/4.92 skol14 [79, 3] (w:1, o:69, a:1, s:1, b:1),
% 4.51/4.92 skol15 [80, 3] (w:1, o:70, a:1, s:1, b:1),
% 4.51/4.92 skol16 [81, 3] (w:1, o:71, a:1, s:1, b:1),
% 4.51/4.92 skol17 [82, 2] (w:1, o:62, a:1, s:1, b:1),
% 4.51/4.92 skol18 [83, 2] (w:1, o:63, a:1, s:1, b:1),
% 4.51/4.92 skol19 [84, 4] (w:1, o:79, a:1, s:1, b:1),
% 4.51/4.92 skol20 [85, 0] (w:1, o:24, a:1, s:1, b:1),
% 4.51/4.92 skol21 [86, 4] (w:1, o:81, a:1, s:1, b:1),
% 4.51/4.92 skol22 [87, 0] (w:1, o:25, a:1, s:1, b:1),
% 4.51/4.92 skol23 [88, 0] (w:1, o:26, a:1, s:1, b:1),
% 4.51/4.92 skol24 [89, 0] (w:1, o:27, a:1, s:1, b:1),
% 4.51/4.92 skol25 [90, 0] (w:1, o:28, a:1, s:1, b:1),
% 4.51/4.92 skol26 [91, 0] (w:1, o:29, a:1, s:1, b:1),
% 4.51/4.92 skol27 [92, 0] (w:1, o:30, a:1, s:1, b:1).
% 4.51/4.92
% 4.51/4.92
% 4.51/4.92 Starting Search:
% 4.51/4.92
% 4.51/4.92 *** allocated 15000 integers for clauses
% 4.51/4.92 *** allocated 22500 integers for clauses
% 4.51/4.92 *** allocated 33750 integers for clauses
% 4.51/4.92 *** allocated 50625 integers for clauses
% 4.51/4.92 *** allocated 22500 integers for termspace/termends
% 4.51/4.92 *** allocated 75937 integers for clauses
% 4.51/4.92 Resimplifying inuse:
% 4.51/4.92 Done
% 4.51/4.92
% 4.51/4.92 *** allocated 33750 integers for termspace/termends
% 4.51/4.92 *** allocated 113905 integers for clauses
% 4.51/4.92 *** allocated 50625 integers for termspace/termends
% 4.51/4.92
% 4.51/4.92 Intermediate Status:
% 4.51/4.92 Generated: 10519
% 4.51/4.92 Kept: 2000
% 4.51/4.92 Inuse: 330
% 4.51/4.92 Deleted: 0
% 4.51/4.92 Deletedinuse: 0
% 4.51/4.92
% 4.51/4.92 Resimplifying inuse:
% 4.51/4.92 Done
% 4.51/4.92
% 4.51/4.92 *** allocated 170857 integers for clauses
% 4.51/4.92 *** allocated 75937 integers for termspace/termends
% 4.51/4.92 Resimplifying inuse:
% 4.51/4.92 Done
% 4.51/4.92
% 4.51/4.92 *** allocated 256285 integers for clauses
% 4.51/4.92 *** allocated 113905 integers for termspace/termends
% 4.51/4.92
% 4.51/4.92 Intermediate Status:
% 4.51/4.92 Generated: 22435
% 4.51/4.92 Kept: 4001
% 4.51/4.92 Inuse: 465
% 4.51/4.92 Deleted: 0
% 4.51/4.92 Deletedinuse: 0
% 4.51/4.92
% 4.51/4.92 Resimplifying inuse:
% 4.51/4.92 Done
% 4.51/4.92
% 4.51/4.92 Resimplifying inuse:
% 4.51/4.92 Done
% 4.51/4.92
% 4.51/4.92 *** allocated 384427 integers for clauses
% 4.51/4.92 *** allocated 170857 integers for termspace/termends
% 4.51/4.92
% 4.51/4.92 Intermediate Status:
% 4.51/4.92 Generated: 36539
% 4.51/4.92 Kept: 6016
% 4.51/4.92 Inuse: 536
% 4.51/4.92 Deleted: 0
% 4.51/4.92 Deletedinuse: 0
% 4.51/4.92
% 4.51/4.92 Resimplifying inuse:
% 4.51/4.92 Done
% 4.51/4.92
% 4.51/4.92 Resimplifying inuse:
% 4.51/4.92 Done
% 4.51/4.92
% 4.51/4.92 *** allocated 576640 integers for clauses
% 4.51/4.92
% 4.51/4.92 Intermediate Status:
% 4.51/4.92 Generated: 51199
% 4.51/4.92 Kept: 8038
% 4.51/4.92 Inuse: 685
% 4.51/4.92 Deleted: 1
% 4.51/4.92 Deletedinuse: 0
% 4.51/4.92
% 4.51/4.92 Resimplifying inuse:
% 4.51/4.92 Done
% 4.51/4.92
% 4.51/4.92 *** allocated 256285 integers for termspace/termends
% 4.51/4.92 Resimplifying inuse:
% 4.51/4.92 Done
% 4.51/4.92
% 4.51/4.92
% 4.51/4.92 Intermediate Status:
% 4.51/4.92 Generated: 63106
% 4.51/4.92 Kept: 10151
% 4.51/4.92 Inuse: 879
% 4.51/4.92 Deleted: 712
% 4.51/4.92 Deletedinuse: 485
% 4.51/4.92
% 4.51/4.92 Resimplifying inuse:
% 4.51/4.92 Done
% 4.51/4.92
% 4.51/4.92 Resimplifying inuse:
% 4.51/4.92 Done
% 4.51/4.92
% 4.51/4.92 *** allocated 864960 integers for clauses
% 4.51/4.92
% 4.51/4.92 Intermediate Status:
% 4.51/4.92 Generated: 71718
% 4.51/4.92 Kept: 12152
% 4.51/4.92 Inuse: 1045
% 4.51/4.92 Deleted: 775
% 4.51/4.92 Deletedinuse: 538
% 4.51/4.92
% 4.51/4.92 Resimplifying inuse:
% 4.51/4.92 Done
% 4.51/4.92
% 4.51/4.92 Resimplifying inuse:
% 4.51/4.92 Done
% 4.51/4.92
% 4.51/4.92
% 4.51/4.92 Intermediate Status:
% 4.51/4.92 Generated: 81419
% 4.51/4.92 Kept: 14155
% 4.51/4.92 Inuse: 1183
% 4.51/4.92 Deleted: 782
% 4.51/4.92 Deletedinuse: 539
% 4.51/4.92
% 4.51/4.92 Resimplifying inuse:
% 4.51/4.92 Done
% 4.51/4.92
% 4.51/4.92 *** allocated 384427 integers for termspace/termends
% 4.51/4.92 Resimplifying inuse:
% 4.51/4.92 Done
% 4.51/4.92
% 4.51/4.92
% 4.51/4.92 Intermediate Status:
% 4.51/4.92 Generated: 91251
% 4.51/4.92 Kept: 16159
% 4.51/4.92 Inuse: 1365
% 4.51/4.92 Deleted: 787
% 4.51/4.92 Deletedinuse: 539
% 4.51/4.92
% 4.51/4.92 Resimplifying inuse:
% 4.51/4.92 Done
% 4.51/4.92
% 4.51/4.92 *** allocated 1297440 integers for clauses
% 4.51/4.92 Resimplifying inuse:
% 4.51/4.92 Done
% 4.51/4.92
% 4.51/4.92
% 4.51/4.92 Intermediate Status:
% 4.51/4.92 Generated: 101864
% 4.51/4.92 Kept: 18160
% 4.51/4.92 Inuse: 1542
% 4.51/4.92 Deleted: 802
% 4.51/4.92 Deletedinuse: 539
% 4.51/4.92
% 4.51/4.92 Resimplifying inuse:
% 4.51/4.92 Done
% 4.51/4.92
% 4.51/4.92 Resimplifying inuse:
% 4.51/4.92 Done
% 4.51/4.92
% 4.51/4.92 Resimplifying clauses:
% 4.51/4.92 Done
% 4.51/4.92
% 4.51/4.92
% 4.51/4.92 Intermediate Status:
% 4.51/4.92 Generated: 113083
% 4.51/4.92 Kept: 20169
% 4.51/4.92 Inuse: 1726
% 4.51/4.92 Deleted: 6665
% 4.51/4.92 Deletedinuse: 539
% 4.51/4.92
% 4.51/4.92 Resimplifying inuse:
% 4.51/4.92 Done
% 4.51/4.92
% 4.51/4.92 Resimplifying inuse:
% 4.51/4.92 Done
% 4.51/4.92
% 4.51/4.92
% 4.51/4.92 Intermediate Status:
% 4.51/4.92 Generated: 126294
% 4.51/4.92 Kept: 22183
% 4.51/4.92 Inuse: 1960
% 4.51/4.92 Deleted: 6785
% 4.51/4.92 Deletedinuse: 659
% 4.51/4.92
% 4.51/4.92 Resimplifying inuse:
% 4.51/4.92 Done
% 4.51/4.92
% 4.51/4.92 Resimplifying inuse:
% 4.51/4.92 Done
% 4.51/4.92
% 4.51/4.92
% 4.51/4.92 Intermediate Status:
% 4.51/4.92 Generated: 136988
% 4.51/4.92 Kept: 24184
% 4.51/4.92 Inuse: 2075
% 4.51/4.92 Deleted: 6803
% 4.51/4.92 Deletedinuse: 659
% 4.51/4.92
% 4.51/4.92 *** allocated 576640 integers for termspace/termends
% 4.51/4.92
% 4.51/4.92 Bliksems!, er is een bewijs:
% 4.51/4.92 % SZS status Theorem
% 4.51/4.92 % SZS output start Refutation
% 4.51/4.92
% 4.51/4.92 (0) {G0,W8,D2,L2,V3,M2} I { ! coll( X, Y, Z ), coll( X, Z, Y ) }.
% 4.51/4.92 (1) {G0,W8,D2,L2,V3,M2} I { ! coll( X, Y, Z ), coll( Y, X, Z ) }.
% 4.51/4.92 (2) {G0,W12,D2,L3,V4,M3} I { ! coll( X, T, Y ), ! coll( X, T, Z ), coll( Y
% 4.51/4.92 , Z, X ) }.
% 4.51/4.92 (6) {G0,W10,D2,L2,V4,M2} I { ! perp( X, Y, Z, T ), perp( X, Y, T, Z ) }.
% 4.51/4.92 (7) {G0,W10,D2,L2,V4,M2} I { ! perp( X, Y, Z, T ), perp( Z, T, X, Y ) }.
% 4.51/4.92 (8) {G0,W15,D2,L3,V6,M3} I { ! perp( X, Y, U, W ), ! perp( U, W, Z, T ),
% 4.51/4.92 para( X, Y, Z, T ) }.
% 4.51/4.92 (9) {G0,W15,D2,L3,V6,M3} I { ! para( X, Y, U, W ), ! perp( U, W, Z, T ),
% 4.51/4.92 perp( X, Y, Z, T ) }.
% 4.51/4.92 (10) {G0,W8,D2,L2,V3,M2} I { ! midp( Z, Y, X ), midp( Z, X, Y ) }.
% 4.51/4.92 (11) {G0,W15,D2,L3,V4,M3} I { ! cong( T, X, T, Y ), ! cong( T, X, T, Z ),
% 4.51/4.92 circle( T, X, Y, Z ) }.
% 4.51/4.92 (13) {G0,W10,D2,L2,V4,M2} I { ! cyclic( X, Y, Z, T ), cyclic( X, Y, T, Z )
% 4.51/4.92 }.
% 4.51/4.92 (14) {G0,W10,D2,L2,V4,M2} I { ! cyclic( X, Y, Z, T ), cyclic( X, Z, Y, T )
% 4.51/4.92 }.
% 4.51/4.92 (15) {G0,W10,D2,L2,V4,M2} I { ! cyclic( X, Y, Z, T ), cyclic( Y, X, Z, T )
% 4.51/4.92 }.
% 4.51/4.92 (16) {G0,W15,D2,L3,V5,M3} I { ! cyclic( U, X, Y, Z ), ! cyclic( U, X, Y, T
% 4.51/4.92 ), cyclic( X, Y, Z, T ) }.
% 4.51/4.92 (39) {G0,W14,D2,L2,V6,M2} I { ! para( X, Y, Z, T ), eqangle( X, Y, U, W, Z
% 4.51/4.92 , T, U, W ) }.
% 4.51/4.92 (40) {G0,W14,D2,L2,V4,M2} I { ! cyclic( X, Y, Z, T ), eqangle( Z, X, Z, Y,
% 4.51/4.92 T, X, T, Y ) }.
% 4.51/4.92 (42) {G0,W18,D2,L3,V4,M3} I { ! eqangle( Z, X, Z, Y, T, X, T, Y ), ! coll(
% 4.51/4.92 Z, T, Y ), cyclic( X, Y, Z, T ) }.
% 4.51/4.92 (43) {G0,W29,D2,L5,V6,M5} I { ! cyclic( X, Y, U, Z ), ! cyclic( X, Y, U, T
% 4.51/4.92 ), ! cyclic( X, Y, U, W ), ! eqangle( U, X, U, Y, W, Z, W, T ), cong( X
% 4.51/4.92 , Y, Z, T ) }.
% 4.51/4.92 (53) {G0,W14,D2,L3,V4,M3} I { ! circle( T, X, Y, Z ), ! coll( T, X, Z ),
% 4.51/4.92 perp( X, Y, Y, Z ) }.
% 4.51/4.92 (56) {G0,W15,D2,L3,V4,M3} I { ! cong( X, Z, Y, Z ), ! cong( X, T, Y, T ),
% 4.51/4.92 perp( X, Y, Z, T ) }.
% 4.51/4.92 (68) {G0,W9,D2,L2,V3,M2} I { ! midp( X, Y, Z ), cong( X, Y, X, Z ) }.
% 4.51/4.92 (69) {G0,W8,D2,L2,V3,M2} I { ! midp( X, Y, Z ), coll( X, Y, Z ) }.
% 4.51/4.92 (88) {G0,W22,D3,L5,V7,M5} I { ! midp( Z, X, Y ), ! midp( W, T, U ), ! coll
% 4.51/4.92 ( T, X, Y ), ! coll( U, X, Y ), midp( skol7( X, V0 ), X, V0 ) }.
% 4.51/4.92 (95) {G0,W18,D3,L3,V4,M3} I { ! perp( X, T, Y, Z ), ! perp( Y, T, X, Z ),
% 4.51/4.92 perp( X, skol10( X, Y, Z ), Z, Y ) }.
% 4.51/4.92 (96) {G0,W14,D2,L3,V4,M3} I { ! perp( X, T, Y, Z ), ! perp( Y, T, X, Z ),
% 4.51/4.92 alpha1( X, Y, Z ) }.
% 4.51/4.92 (98) {G0,W12,D3,L2,V3,M2} I { ! alpha1( X, Y, Z ), perp( Y, skol11( X, Y, Z
% 4.51/4.92 ), Z, X ) }.
% 4.51/4.92 (100) {G0,W12,D3,L2,V4,M2} I { ! circle( Y, X, Z, T ), perp( skol12( X, Y )
% 4.51/4.92 , X, X, Y ) }.
% 4.51/4.92 (110) {G0,W17,D3,L3,V5,M3} I { ! perp( X, U, U, T ), ! coll( T, Y, Z ),
% 4.51/4.92 perp( skol16( X, Y, Z ), X, Y, Z ) }.
% 4.51/4.92 (120) {G0,W4,D2,L1,V0,M1} I { midp( skol23, skol27, skol26 ) }.
% 4.51/4.92 (121) {G0,W4,D2,L1,V0,M1} I { midp( skol24, skol20, skol22 ) }.
% 4.51/4.92 (122) {G0,W5,D2,L1,V0,M1} I { ! perp( skol23, skol24, skol20, skol22 ) }.
% 4.51/4.92 (125) {G1,W10,D2,L2,V3,M2} F(11) { ! cong( X, Y, X, Z ), circle( X, Y, Z, Z
% 4.51/4.92 ) }.
% 4.51/4.92 (145) {G1,W18,D3,L4,V4,M4} F(88) { ! midp( X, Y, Z ), ! coll( Y, Y, Z ), !
% 4.51/4.92 coll( Z, Y, Z ), midp( skol7( Y, T ), Y, T ) }.
% 4.51/4.92 (152) {G1,W9,D2,L2,V3,M2} F(96) { ! perp( X, Y, X, Z ), alpha1( X, X, Z )
% 4.51/4.92 }.
% 4.51/4.92 (164) {G1,W8,D2,L2,V3,M2} R(1,0) { coll( X, Y, Z ), ! coll( Y, Z, X ) }.
% 4.51/4.92 (165) {G1,W8,D2,L2,V3,M2} R(1,0) { ! coll( X, Y, Z ), coll( Y, Z, X ) }.
% 4.51/4.92 (189) {G1,W12,D2,L3,V4,M3} R(2,0) { ! coll( X, Y, Z ), ! coll( X, Y, T ),
% 4.51/4.92 coll( Z, X, T ) }.
% 4.51/4.92 (194) {G2,W8,D2,L2,V3,M2} F(189) { ! coll( X, Y, Z ), coll( Z, X, Z ) }.
% 4.51/4.92 (211) {G3,W12,D2,L3,V4,M3} R(194,2) { coll( X, Y, X ), ! coll( X, Z, Y ), !
% 4.51/4.92 coll( X, Z, T ) }.
% 4.51/4.92 (224) {G4,W8,D2,L2,V3,M2} F(211) { coll( X, Y, X ), ! coll( X, Z, Y ) }.
% 4.51/4.92 (266) {G1,W10,D2,L2,V4,M2} R(7,6) { ! perp( X, Y, Z, T ), perp( Z, T, Y, X
% 4.51/4.92 ) }.
% 4.51/4.92 (269) {G1,W5,D2,L1,V0,M1} R(7,122) { ! perp( skol20, skol22, skol23, skol24
% 4.51/4.92 ) }.
% 4.51/4.92 (277) {G1,W15,D2,L3,V6,M3} R(8,7) { ! perp( X, Y, Z, T ), para( U, W, Z, T
% 4.51/4.92 ), ! perp( X, Y, U, W ) }.
% 4.51/4.92 (278) {G1,W15,D2,L3,V6,M3} R(8,7) { ! perp( X, Y, Z, T ), para( X, Y, U, W
% 4.51/4.92 ), ! perp( U, W, Z, T ) }.
% 4.51/4.92 (290) {G2,W10,D2,L2,V4,M2} F(278) { ! perp( X, Y, Z, T ), para( X, Y, X, Y
% 4.51/4.92 ) }.
% 4.51/4.92 (319) {G1,W4,D2,L1,V0,M1} R(10,120) { midp( skol23, skol26, skol27 ) }.
% 4.51/4.92 (320) {G1,W4,D2,L1,V0,M1} R(10,121) { midp( skol24, skol22, skol20 ) }.
% 4.51/4.92 (349) {G1,W10,D2,L2,V4,M2} R(14,13) { ! cyclic( X, Y, Z, T ), cyclic( X, Z
% 4.51/4.92 , T, Y ) }.
% 4.51/4.92 (367) {G1,W10,D2,L2,V4,M2} R(15,14) { ! cyclic( X, Y, Z, T ), cyclic( Y, Z
% 4.51/4.92 , X, T ) }.
% 4.51/4.92 (398) {G1,W15,D2,L3,V5,M3} R(16,13) { ! cyclic( X, Y, Z, T ), cyclic( Y, Z
% 4.51/4.92 , T, U ), ! cyclic( X, Y, U, Z ) }.
% 4.51/4.92 (421) {G2,W5,D2,L1,V0,M1} R(269,6) { ! perp( skol20, skol22, skol24, skol23
% 4.51/4.92 ) }.
% 4.51/4.92 (423) {G3,W5,D2,L1,V0,M1} R(421,7) { ! perp( skol24, skol23, skol20, skol22
% 4.51/4.92 ) }.
% 4.51/4.92 (425) {G4,W5,D2,L1,V0,M1} R(423,6) { ! perp( skol24, skol23, skol22, skol20
% 4.51/4.92 ) }.
% 4.51/4.92 (426) {G5,W10,D2,L2,V2,M2} R(425,9) { ! para( skol24, skol23, X, Y ), !
% 4.51/4.92 perp( X, Y, skol22, skol20 ) }.
% 4.51/4.92 (450) {G5,W8,D2,L2,V3,M2} R(224,1) { ! coll( X, Y, Z ), coll( Z, X, X ) }.
% 4.51/4.92 (455) {G6,W8,D2,L2,V3,M2} R(450,1) { coll( X, Y, Y ), ! coll( Z, Y, X ) }.
% 4.51/4.92 (456) {G6,W8,D2,L2,V3,M2} R(450,0) { coll( X, Y, Y ), ! coll( Y, X, Z ) }.
% 4.51/4.92 (457) {G7,W8,D2,L2,V3,M2} R(455,450) { ! coll( X, Y, Z ), coll( Y, Z, Z )
% 4.51/4.92 }.
% 4.51/4.92 (472) {G7,W8,D2,L2,V3,M2} R(456,456) { ! coll( X, Y, Z ), coll( X, Y, Y )
% 4.51/4.92 }.
% 4.51/4.92 (475) {G8,W12,D2,L3,V4,M3} R(472,2) { ! coll( X, Y, Z ), ! coll( X, Y, T )
% 4.51/4.92 , coll( T, Y, X ) }.
% 4.51/4.92 (476) {G9,W8,D2,L2,V3,M2} F(475) { ! coll( X, Y, Z ), coll( Z, Y, X ) }.
% 4.51/4.92 (479) {G10,W8,D2,L2,V3,M2} R(476,457) { coll( X, X, Y ), ! coll( Z, Y, X )
% 4.51/4.92 }.
% 4.51/4.92 (480) {G10,W8,D2,L2,V3,M2} R(476,455) { coll( X, X, Y ), ! coll( Z, X, Y )
% 4.51/4.92 }.
% 4.51/4.92 (534) {G2,W8,D2,L2,V3,M2} R(69,164) { ! midp( X, Y, Z ), coll( Z, X, Y )
% 4.51/4.92 }.
% 4.51/4.92 (541) {G11,W8,D2,L2,V3,M2} R(69,480) { ! midp( X, Y, Z ), coll( Y, Y, Z )
% 4.51/4.92 }.
% 4.51/4.92 (555) {G2,W4,D2,L1,V0,M1} R(69,320) { coll( skol24, skol22, skol20 ) }.
% 4.51/4.92 (563) {G1,W4,D2,L1,V0,M1} R(69,121) { coll( skol24, skol20, skol22 ) }.
% 4.51/4.92 (573) {G11,W4,D2,L1,V0,M1} R(555,479) { coll( skol20, skol20, skol22 ) }.
% 4.51/4.92 (716) {G2,W8,D2,L2,V1,M2} R(563,2) { ! coll( skol24, skol20, X ), coll(
% 4.51/4.92 skol22, X, skol24 ) }.
% 4.51/4.92 (784) {G1,W14,D2,L3,V3,M3} R(42,39) { ! coll( X, X, Y ), cyclic( Z, Y, X, X
% 4.51/4.92 ), ! para( X, Z, X, Z ) }.
% 4.51/4.92 (909) {G1,W20,D2,L4,V4,M4} R(43,40);f { ! cyclic( X, Y, Z, X ), ! cyclic( X
% 4.51/4.92 , Y, Z, Y ), ! cyclic( X, Y, Z, T ), cong( X, Y, X, Y ) }.
% 4.51/4.92 (941) {G2,W15,D2,L3,V3,M3} F(909) { ! cyclic( X, Y, Z, X ), ! cyclic( X, Y
% 4.51/4.92 , Z, Y ), cong( X, Y, X, Y ) }.
% 4.51/4.92 (974) {G3,W8,D2,L2,V1,M2} R(716,165) { coll( skol22, X, skol24 ), ! coll( X
% 4.51/4.92 , skol24, skol20 ) }.
% 4.51/4.92 (1852) {G4,W8,D2,L2,V1,M2} R(974,165) { ! coll( X, skol24, skol20 ), coll(
% 4.51/4.92 X, skol24, skol22 ) }.
% 4.51/4.92 (1870) {G5,W12,D2,L3,V2,M3} R(1852,2) { ! coll( X, skol24, skol20 ), ! coll
% 4.51/4.92 ( X, skol24, Y ), coll( skol22, Y, X ) }.
% 4.51/4.92 (1875) {G6,W8,D2,L2,V1,M2} F(1870) { ! coll( X, skol24, skol20 ), coll(
% 4.51/4.92 skol22, skol20, X ) }.
% 4.51/4.92 (2429) {G2,W5,D2,L1,V0,M1} R(68,319) { cong( skol23, skol26, skol23, skol27
% 4.51/4.92 ) }.
% 4.51/4.92 (2431) {G1,W5,D2,L1,V0,M1} R(68,121) { cong( skol24, skol20, skol24, skol22
% 4.51/4.92 ) }.
% 4.51/4.92 (2995) {G7,W8,D2,L2,V1,M2} R(1875,534) { coll( skol22, skol20, X ), ! midp
% 4.51/4.92 ( skol24, skol20, X ) }.
% 4.51/4.92 (7086) {G2,W5,D2,L1,V0,M1} R(125,2431) { circle( skol24, skol20, skol22,
% 4.51/4.92 skol22 ) }.
% 4.51/4.92 (7088) {G3,W5,D2,L1,V0,M1} R(125,2429) { circle( skol23, skol26, skol27,
% 4.51/4.92 skol27 ) }.
% 4.51/4.92 (7098) {G3,W5,D2,L1,V0,M1} R(7086,53);r(563) { perp( skol20, skol22, skol22
% 4.51/4.92 , skol22 ) }.
% 4.51/4.92 (7120) {G4,W5,D2,L1,V0,M1} R(7098,7) { perp( skol22, skol22, skol20, skol22
% 4.51/4.92 ) }.
% 4.51/4.92 (7125) {G5,W8,D3,L1,V0,M1} R(7120,95);r(7098) { perp( skol22, skol10(
% 4.51/4.92 skol22, skol20, skol22 ), skol22, skol20 ) }.
% 4.51/4.92 (7876) {G4,W7,D3,L1,V0,M1} R(7088,100) { perp( skol12( skol26, skol23 ),
% 4.51/4.92 skol26, skol26, skol23 ) }.
% 4.51/4.92 (7936) {G12,W14,D3,L3,V2,M3} R(145,2995);r(573) { ! midp( X, skol20, skol22
% 4.51/4.92 ), midp( skol7( skol20, Y ), skol20, Y ), ! midp( skol24, skol20, skol22
% 4.51/4.92 ) }.
% 4.51/4.92 (8037) {G13,W6,D3,L1,V1,M1} F(7936);r(121) { midp( skol7( skol20, X ),
% 4.51/4.92 skol20, X ) }.
% 4.51/4.92 (8285) {G14,W4,D2,L1,V1,M1} R(8037,541) { coll( skol20, skol20, X ) }.
% 4.51/4.92 (8397) {G15,W4,D2,L1,V2,M1} R(8285,2);r(8285) { coll( Y, X, skol20 ) }.
% 4.51/4.92 (8422) {G16,W4,D2,L1,V2,M1} R(8397,165) { coll( X, skol20, Y ) }.
% 4.51/4.92 (8435) {G17,W4,D2,L1,V3,M1} R(8422,2);r(8422) { coll( Z, Y, X ) }.
% 4.51/4.92 (8618) {G5,W7,D3,L1,V0,M1} R(7876,7) { perp( skol26, skol23, skol12( skol26
% 4.51/4.92 , skol23 ), skol26 ) }.
% 4.51/4.92 (8627) {G6,W7,D3,L1,V0,M1} R(8618,6) { perp( skol26, skol23, skol26, skol12
% 4.51/4.92 ( skol26, skol23 ) ) }.
% 4.51/4.92 (8635) {G7,W7,D3,L1,V0,M1} R(8627,7) { perp( skol26, skol12( skol26, skol23
% 4.51/4.92 ), skol26, skol23 ) }.
% 4.51/4.92 (8644) {G8,W7,D3,L1,V0,M1} R(8635,6) { perp( skol26, skol12( skol26, skol23
% 4.51/4.92 ), skol23, skol26 ) }.
% 4.51/4.92 (8653) {G9,W7,D3,L1,V0,M1} R(8644,7) { perp( skol23, skol26, skol26, skol12
% 4.51/4.92 ( skol26, skol23 ) ) }.
% 4.51/4.92 (8655) {G18,W8,D3,L1,V2,M1} R(8653,110);r(8435) { perp( skol16( skol23, X,
% 4.51/4.92 Y ), skol23, X, Y ) }.
% 4.51/4.92 (9198) {G19,W8,D3,L1,V2,M1} R(8655,266) { perp( X, Y, skol23, skol16(
% 4.51/4.92 skol23, X, Y ) ) }.
% 4.51/4.92 (9222) {G20,W8,D3,L1,V3,M1} R(9198,110);r(8435) { perp( skol16( X, Y, Z ),
% 4.51/4.92 X, Y, Z ) }.
% 4.51/4.92 (9325) {G21,W8,D3,L1,V3,M1} R(9222,266) { perp( X, Y, Z, skol16( Z, X, Y )
% 4.51/4.92 ) }.
% 4.51/4.92 (9342) {G22,W8,D3,L1,V3,M1} R(9325,266) { perp( X, skol16( X, Y, Z ), Z, Y
% 4.51/4.92 ) }.
% 4.51/4.92 (9449) {G23,W4,D2,L1,V2,M1} R(9342,152) { alpha1( X, X, Y ) }.
% 4.51/4.92 (9458) {G24,W8,D3,L1,V2,M1} R(9449,98) { perp( X, skol11( X, X, Y ), Y, X )
% 4.51/4.92 }.
% 4.51/4.92 (9597) {G25,W8,D3,L1,V2,M1} R(9458,266) { perp( X, Y, skol11( Y, Y, X ), Y
% 4.51/4.92 ) }.
% 4.51/4.92 (9617) {G26,W8,D3,L1,V2,M1} R(9597,266) { perp( skol11( X, X, Y ), X, X, Y
% 4.51/4.92 ) }.
% 4.51/4.92 (9636) {G27,W8,D3,L1,V2,M1} R(9617,7) { perp( X, Y, skol11( X, X, Y ), X )
% 4.51/4.92 }.
% 4.51/4.92 (9893) {G28,W5,D2,L1,V2,M1} R(290,9636) { para( X, Y, X, Y ) }.
% 4.51/4.92 (20096) {G29,W5,D2,L1,V3,M1} S(784);r(8435);r(9893) { cyclic( Z, Y, X, X )
% 4.51/4.92 }.
% 4.51/4.92 (20114) {G30,W5,D2,L1,V3,M1} R(20096,367) { cyclic( X, Y, Z, Y ) }.
% 4.51/4.92 (20116) {G30,W5,D2,L1,V3,M1} R(20096,349) { cyclic( X, Y, Y, Z ) }.
% 4.51/4.92 (20121) {G31,W5,D2,L1,V3,M1} R(20114,398);r(20116) { cyclic( Y, Y, Z, T )
% 4.51/4.92 }.
% 4.51/4.92 (20129) {G32,W5,D2,L1,V4,M1} R(20121,398);r(20121) { cyclic( X, Y, Z, T )
% 4.51/4.92 }.
% 4.51/4.92 (23124) {G6,W8,D3,L1,V0,M1} R(7125,426) { ! para( skol24, skol23, skol22,
% 4.51/4.92 skol10( skol22, skol20, skol22 ) ) }.
% 4.51/4.92 (24557) {G33,W5,D2,L1,V2,M1} S(941);r(20129);r(20129) { cong( X, Y, X, Y )
% 4.51/4.92 }.
% 4.51/4.92 (24567) {G34,W5,D2,L1,V3,M1} R(24557,56);r(24557) { perp( X, X, Z, Y ) }.
% 4.51/4.92 (24604) {G35,W5,D2,L1,V4,M1} R(24567,277);r(24567) { para( X, Y, Z, T ) }.
% 4.51/4.92 (24615) {G36,W0,D0,L0,V0,M0} R(24604,23124) { }.
% 4.51/4.92
% 4.51/4.92
% 4.51/4.92 % SZS output end Refutation
% 4.51/4.92 found a proof!
% 4.51/4.92
% 4.51/4.92
% 4.51/4.92 Unprocessed initial clauses:
% 4.51/4.92
% 4.51/4.92 (24617) {G0,W8,D2,L2,V3,M2} { ! coll( X, Y, Z ), coll( X, Z, Y ) }.
% 4.51/4.92 (24618) {G0,W8,D2,L2,V3,M2} { ! coll( X, Y, Z ), coll( Y, X, Z ) }.
% 4.51/4.92 (24619) {G0,W12,D2,L3,V4,M3} { ! coll( X, T, Y ), ! coll( X, T, Z ), coll
% 4.51/4.92 ( Y, Z, X ) }.
% 4.51/4.92 (24620) {G0,W10,D2,L2,V4,M2} { ! para( X, Y, Z, T ), para( X, Y, T, Z )
% 4.51/4.92 }.
% 4.51/4.92 (24621) {G0,W10,D2,L2,V4,M2} { ! para( X, Y, Z, T ), para( Z, T, X, Y )
% 4.51/4.92 }.
% 4.51/4.92 (24622) {G0,W15,D2,L3,V6,M3} { ! para( X, Y, U, W ), ! para( U, W, Z, T )
% 4.51/4.92 , para( X, Y, Z, T ) }.
% 4.51/4.92 (24623) {G0,W10,D2,L2,V4,M2} { ! perp( X, Y, Z, T ), perp( X, Y, T, Z )
% 4.51/4.92 }.
% 4.51/4.92 (24624) {G0,W10,D2,L2,V4,M2} { ! perp( X, Y, Z, T ), perp( Z, T, X, Y )
% 4.51/4.92 }.
% 4.51/4.92 (24625) {G0,W15,D2,L3,V6,M3} { ! perp( X, Y, U, W ), ! perp( U, W, Z, T )
% 4.51/4.92 , para( X, Y, Z, T ) }.
% 4.51/4.92 (24626) {G0,W15,D2,L3,V6,M3} { ! para( X, Y, U, W ), ! perp( U, W, Z, T )
% 4.51/4.92 , perp( X, Y, Z, T ) }.
% 4.51/4.92 (24627) {G0,W8,D2,L2,V3,M2} { ! midp( Z, Y, X ), midp( Z, X, Y ) }.
% 4.51/4.92 (24628) {G0,W15,D2,L3,V4,M3} { ! cong( T, X, T, Y ), ! cong( T, X, T, Z )
% 4.51/4.92 , circle( T, X, Y, Z ) }.
% 4.51/4.92 (24629) {G0,W20,D2,L4,V5,M4} { ! cong( U, X, U, Y ), ! cong( U, X, U, Z )
% 4.51/4.92 , ! cong( U, X, U, T ), cyclic( X, Y, Z, T ) }.
% 4.51/4.92 (24630) {G0,W10,D2,L2,V4,M2} { ! cyclic( X, Y, Z, T ), cyclic( X, Y, T, Z
% 4.51/4.92 ) }.
% 4.51/4.92 (24631) {G0,W10,D2,L2,V4,M2} { ! cyclic( X, Y, Z, T ), cyclic( X, Z, Y, T
% 4.51/4.92 ) }.
% 4.51/4.92 (24632) {G0,W10,D2,L2,V4,M2} { ! cyclic( X, Y, Z, T ), cyclic( Y, X, Z, T
% 4.51/4.92 ) }.
% 4.51/4.92 (24633) {G0,W15,D2,L3,V5,M3} { ! cyclic( U, X, Y, Z ), ! cyclic( U, X, Y,
% 4.51/4.92 T ), cyclic( X, Y, Z, T ) }.
% 4.51/4.92 (24634) {G0,W18,D2,L2,V8,M2} { ! eqangle( X, Y, Z, T, U, W, V0, V1 ),
% 4.51/4.92 eqangle( Y, X, Z, T, U, W, V0, V1 ) }.
% 4.51/4.92 (24635) {G0,W18,D2,L2,V8,M2} { ! eqangle( X, Y, Z, T, U, W, V0, V1 ),
% 4.51/4.92 eqangle( Z, T, X, Y, V0, V1, U, W ) }.
% 4.51/4.92 (24636) {G0,W18,D2,L2,V8,M2} { ! eqangle( X, Y, Z, T, U, W, V0, V1 ),
% 4.51/4.92 eqangle( U, W, V0, V1, X, Y, Z, T ) }.
% 4.51/4.92 (24637) {G0,W18,D2,L2,V8,M2} { ! eqangle( X, Y, Z, T, U, W, V0, V1 ),
% 4.51/4.92 eqangle( X, Y, U, W, Z, T, V0, V1 ) }.
% 4.51/4.92 (24638) {G0,W27,D2,L3,V12,M3} { ! eqangle( X, Y, Z, T, V2, V3, V4, V5 ), !
% 4.51/4.92 eqangle( V2, V3, V4, V5, U, W, V0, V1 ), eqangle( X, Y, Z, T, U, W, V0,
% 4.51/4.92 V1 ) }.
% 4.51/4.92 (24639) {G0,W10,D2,L2,V4,M2} { ! cong( X, Y, Z, T ), cong( X, Y, T, Z )
% 4.51/4.92 }.
% 4.51/4.92 (24640) {G0,W10,D2,L2,V4,M2} { ! cong( X, Y, Z, T ), cong( Z, T, X, Y )
% 4.51/4.92 }.
% 4.51/4.92 (24641) {G0,W15,D2,L3,V6,M3} { ! cong( X, Y, U, W ), ! cong( U, W, Z, T )
% 4.51/4.92 , cong( X, Y, Z, T ) }.
% 4.51/4.92 (24642) {G0,W18,D2,L2,V8,M2} { ! eqratio( X, Y, Z, T, U, W, V0, V1 ),
% 4.51/4.92 eqratio( Y, X, Z, T, U, W, V0, V1 ) }.
% 4.51/4.92 (24643) {G0,W18,D2,L2,V8,M2} { ! eqratio( X, Y, Z, T, U, W, V0, V1 ),
% 4.51/4.92 eqratio( Z, T, X, Y, V0, V1, U, W ) }.
% 4.51/4.92 (24644) {G0,W18,D2,L2,V8,M2} { ! eqratio( X, Y, Z, T, U, W, V0, V1 ),
% 4.51/4.92 eqratio( U, W, V0, V1, X, Y, Z, T ) }.
% 4.51/4.92 (24645) {G0,W18,D2,L2,V8,M2} { ! eqratio( X, Y, Z, T, U, W, V0, V1 ),
% 4.51/4.92 eqratio( X, Y, U, W, Z, T, V0, V1 ) }.
% 4.51/4.92 (24646) {G0,W27,D2,L3,V12,M3} { ! eqratio( X, Y, Z, T, V2, V3, V4, V5 ), !
% 4.51/4.92 eqratio( V2, V3, V4, V5, U, W, V0, V1 ), eqratio( X, Y, Z, T, U, W, V0,
% 4.51/4.92 V1 ) }.
% 4.51/4.92 (24647) {G0,W14,D2,L2,V6,M2} { ! simtri( X, Z, Y, T, W, U ), simtri( X, Y
% 4.51/4.92 , Z, T, U, W ) }.
% 4.51/4.92 (24648) {G0,W14,D2,L2,V6,M2} { ! simtri( Y, X, Z, U, T, W ), simtri( X, Y
% 4.51/4.92 , Z, T, U, W ) }.
% 4.51/4.92 (24649) {G0,W14,D2,L2,V6,M2} { ! simtri( T, U, W, X, Y, Z ), simtri( X, Y
% 4.51/4.92 , Z, T, U, W ) }.
% 4.51/4.92 (24650) {G0,W21,D2,L3,V9,M3} { ! simtri( X, Y, Z, V0, V1, V2 ), ! simtri(
% 4.51/4.92 V0, V1, V2, T, U, W ), simtri( X, Y, Z, T, U, W ) }.
% 4.51/4.92 (24651) {G0,W14,D2,L2,V6,M2} { ! contri( X, Z, Y, T, W, U ), contri( X, Y
% 4.51/4.92 , Z, T, U, W ) }.
% 4.51/4.92 (24652) {G0,W14,D2,L2,V6,M2} { ! contri( Y, X, Z, U, T, W ), contri( X, Y
% 4.51/4.92 , Z, T, U, W ) }.
% 4.51/4.92 (24653) {G0,W14,D2,L2,V6,M2} { ! contri( T, U, W, X, Y, Z ), contri( X, Y
% 4.51/4.92 , Z, T, U, W ) }.
% 4.51/4.92 (24654) {G0,W21,D2,L3,V9,M3} { ! contri( X, Y, Z, V0, V1, V2 ), ! contri(
% 4.51/4.92 V0, V1, V2, T, U, W ), contri( X, Y, Z, T, U, W ) }.
% 4.51/4.92 (24655) {G0,W14,D2,L2,V6,M2} { ! eqangle( X, Y, U, W, Z, T, U, W ), para(
% 4.51/4.92 X, Y, Z, T ) }.
% 4.51/4.92 (24656) {G0,W14,D2,L2,V6,M2} { ! para( X, Y, Z, T ), eqangle( X, Y, U, W,
% 4.51/4.92 Z, T, U, W ) }.
% 4.51/4.92 (24657) {G0,W14,D2,L2,V4,M2} { ! cyclic( X, Y, Z, T ), eqangle( Z, X, Z, Y
% 4.51/4.92 , T, X, T, Y ) }.
% 4.51/4.92 (24658) {G0,W18,D2,L3,V4,M3} { ! eqangle( Z, X, Z, Y, T, X, T, Y ), coll(
% 4.51/4.92 Z, T, X ), cyclic( X, Y, Z, T ) }.
% 4.51/4.92 (24659) {G0,W18,D2,L3,V4,M3} { ! eqangle( Z, X, Z, Y, T, X, T, Y ), ! coll
% 4.51/4.92 ( Z, T, Y ), cyclic( X, Y, Z, T ) }.
% 4.51/4.92 (24660) {G0,W29,D2,L5,V6,M5} { ! cyclic( X, Y, U, Z ), ! cyclic( X, Y, U,
% 4.51/4.92 T ), ! cyclic( X, Y, U, W ), ! eqangle( U, X, U, Y, W, Z, W, T ), cong( X
% 4.51/4.92 , Y, Z, T ) }.
% 4.51/4.92 (24661) {G0,W13,D2,L3,V5,M3} { ! midp( Z, U, X ), ! midp( T, U, Y ), para
% 4.51/4.92 ( Z, T, X, Y ) }.
% 4.51/4.92 (24662) {G0,W17,D2,L4,V5,M4} { ! midp( U, X, T ), ! para( U, Z, T, Y ), !
% 4.51/4.92 coll( Z, X, Y ), midp( Z, X, Y ) }.
% 4.51/4.92 (24663) {G0,W14,D2,L2,V3,M2} { ! cong( Z, X, Z, Y ), eqangle( Z, X, X, Y,
% 4.51/4.92 X, Y, Z, Y ) }.
% 4.51/4.92 (24664) {G0,W18,D2,L3,V3,M3} { ! eqangle( Z, X, X, Y, X, Y, Z, Y ), coll(
% 4.51/4.92 Z, X, Y ), cong( Z, X, Z, Y ) }.
% 4.51/4.92 (24665) {G0,W19,D2,L3,V5,M3} { ! circle( U, X, Y, Z ), ! perp( U, X, X, T
% 4.51/4.92 ), eqangle( X, T, X, Y, Z, X, Z, Y ) }.
% 4.51/4.92 (24666) {G0,W19,D2,L3,V5,M3} { ! circle( Y, X, T, U ), ! eqangle( X, Z, X
% 4.51/4.92 , T, U, X, U, T ), perp( Y, X, X, Z ) }.
% 4.51/4.92 (24667) {G0,W18,D2,L3,V5,M3} { ! circle( T, X, Y, Z ), ! midp( U, Y, Z ),
% 4.51/4.92 eqangle( X, Y, X, Z, T, Y, T, U ) }.
% 4.51/4.92 (24668) {G0,W22,D2,L4,V5,M4} { ! circle( U, T, X, Y ), ! coll( Z, X, Y ),
% 4.51/4.92 ! eqangle( T, X, T, Y, U, X, U, Z ), midp( Z, X, Y ) }.
% 4.51/4.92 (24669) {G0,W14,D2,L3,V4,M3} { ! perp( X, Y, Y, T ), ! midp( Z, X, T ),
% 4.51/4.92 cong( X, Z, Y, Z ) }.
% 4.51/4.92 (24670) {G0,W14,D2,L3,V4,M3} { ! circle( T, X, Y, Z ), ! coll( T, X, Z ),
% 4.51/4.92 perp( X, Y, Y, Z ) }.
% 4.51/4.92 (24671) {G0,W19,D2,L3,V4,M3} { ! cyclic( X, Y, Z, T ), ! para( X, Y, Z, T
% 4.51/4.92 ), eqangle( X, T, Z, T, Z, T, Z, Y ) }.
% 4.51/4.92 (24672) {G0,W14,D2,L3,V4,M3} { ! midp( T, X, Y ), ! perp( Z, T, X, Y ),
% 4.51/4.92 cong( Z, X, Z, Y ) }.
% 4.51/4.92 (24673) {G0,W15,D2,L3,V4,M3} { ! cong( X, Z, Y, Z ), ! cong( X, T, Y, T )
% 4.51/4.92 , perp( X, Y, Z, T ) }.
% 4.51/4.92 (24674) {G0,W20,D2,L4,V4,M4} { ! cong( X, Y, T, Y ), ! cong( X, Z, T, Z )
% 4.51/4.92 , ! cyclic( X, T, Y, Z ), perp( Y, X, X, Z ) }.
% 4.51/4.92 (24675) {G0,W29,D2,L4,V6,M4} { ! eqangle( X, Y, Y, Z, T, U, U, W ), !
% 4.51/4.92 eqangle( X, Z, Y, Z, T, W, U, W ), coll( X, Y, Z ), simtri( X, Y, Z, T, U
% 4.51/4.92 , W ) }.
% 4.51/4.92 (24676) {G0,W16,D2,L2,V6,M2} { ! simtri( X, Y, Z, T, U, W ), eqratio( X, Y
% 4.51/4.92 , X, Z, T, U, T, W ) }.
% 4.51/4.92 (24677) {G0,W16,D2,L2,V6,M2} { ! simtri( X, Y, Z, T, U, W ), eqangle( X, Y
% 4.51/4.92 , Y, Z, T, U, U, W ) }.
% 4.51/4.92 (24678) {G0,W19,D2,L3,V6,M3} { ! simtri( X, Y, Z, T, U, W ), ! cong( X, Y
% 4.51/4.92 , T, U ), contri( X, Y, Z, T, U, W ) }.
% 4.51/4.92 (24679) {G0,W12,D2,L2,V6,M2} { ! contri( X, Y, U, Z, T, W ), cong( X, Y, Z
% 4.51/4.92 , T ) }.
% 4.51/4.92 (24680) {G0,W13,D2,L3,V5,M3} { ! midp( U, X, Y ), ! midp( U, Z, T ), para
% 4.51/4.92 ( X, Z, Y, T ) }.
% 4.51/4.92 (24681) {G0,W18,D2,L4,V5,M4} { ! midp( Z, T, U ), ! para( T, X, U, Y ), !
% 4.51/4.92 para( T, Y, U, X ), midp( Z, X, Y ) }.
% 4.51/4.92 (24682) {G0,W22,D2,L4,V5,M4} { ! para( X, Y, Z, T ), ! coll( U, X, Z ), !
% 4.51/4.92 coll( U, Y, T ), eqratio( U, X, X, Z, U, Y, Y, T ) }.
% 4.51/4.92 (24683) {G0,W9,D2,L2,V3,M2} { ! para( X, Y, X, Z ), coll( X, Y, Z ) }.
% 4.51/4.92 (24684) {G0,W13,D2,L3,V3,M3} { ! cong( X, Y, X, Z ), ! coll( X, Y, Z ),
% 4.51/4.92 midp( X, Y, Z ) }.
% 4.51/4.92 (24685) {G0,W9,D2,L2,V3,M2} { ! midp( X, Y, Z ), cong( X, Y, X, Z ) }.
% 4.51/4.92 (24686) {G0,W8,D2,L2,V3,M2} { ! midp( X, Y, Z ), coll( X, Y, Z ) }.
% 4.51/4.92 (24687) {G0,W17,D2,L3,V6,M3} { ! midp( U, X, Y ), ! midp( W, Z, T ),
% 4.51/4.92 eqratio( U, X, X, Y, W, Z, Z, T ) }.
% 4.51/4.92 (24688) {G0,W19,D2,L3,V4,M3} { ! eqangle( X, Y, Z, T, Z, T, X, Y ), para(
% 4.51/4.92 X, Y, Z, T ), perp( X, Y, Z, T ) }.
% 4.51/4.92 (24689) {G0,W19,D2,L3,V4,M3} { ! eqangle( X, Y, Z, T, Z, T, X, Y ), perp(
% 4.51/4.92 X, Y, Z, T ), para( X, Y, Z, T ) }.
% 4.51/4.92 (24690) {G0,W19,D2,L3,V8,M3} { ! eqangle( X, Y, Z, T, U, W, V0, V1 ), !
% 4.51/4.92 para( U, W, V0, V1 ), para( X, Y, Z, T ) }.
% 4.51/4.92 (24691) {G0,W19,D2,L3,V8,M3} { ! eqangle( X, Y, Z, T, U, W, V0, V1 ), !
% 4.51/4.92 perp( U, W, V0, V1 ), perp( X, Y, Z, T ) }.
% 4.51/4.92 (24692) {G0,W19,D2,L3,V8,M3} { ! eqratio( X, Y, Z, T, U, W, V0, V1 ), !
% 4.51/4.92 cong( U, W, V0, V1 ), cong( X, Y, Z, T ) }.
% 4.51/4.92 (24693) {G0,W22,D3,L3,V6,M3} { ! perp( Z, Y, Y, X ), ! eqangle( T, Z, Y, Z
% 4.51/4.92 , Y, Z, X, Z ), coll( skol1( U, W, Z, T ), Z, T ) }.
% 4.51/4.92 (24694) {G0,W22,D3,L3,V4,M3} { ! perp( Z, Y, Y, X ), ! eqangle( T, Z, Y, Z
% 4.51/4.92 , Y, Z, X, Z ), coll( skol1( X, Y, Z, T ), X, Y ) }.
% 4.51/4.92 (24695) {G0,W22,D3,L3,V6,M3} { ! cong( Z, X, Z, Y ), ! eqangle( X, Z, Z, T
% 4.51/4.92 , Z, T, Z, Y ), coll( skol2( U, W, Z, T ), Z, T ) }.
% 4.51/4.92 (24696) {G0,W22,D3,L3,V4,M3} { ! cong( Z, X, Z, Y ), ! eqangle( X, Z, Z, T
% 4.51/4.92 , Z, T, Z, Y ), coll( Y, X, skol2( X, Y, Z, T ) ) }.
% 4.51/4.92 (24697) {G0,W22,D3,L3,V6,M3} { ! perp( Z, T, X, Y ), ! eqangle( X, Z, Z, T
% 4.51/4.92 , Z, T, Z, Y ), coll( skol3( U, W, Z, T ), Z, T ) }.
% 4.51/4.92 (24698) {G0,W22,D3,L3,V4,M3} { ! perp( Z, T, X, Y ), ! eqangle( X, Z, Z, T
% 4.51/4.92 , Z, T, Z, Y ), coll( Y, X, skol3( X, Y, Z, T ) ) }.
% 4.51/4.92 (24699) {G0,W18,D3,L3,V6,M3} { ! perp( Z, T, X, Y ), ! cong( Z, X, Z, Y )
% 4.51/4.92 , coll( skol4( U, W, Z, T ), Z, T ) }.
% 4.51/4.92 (24700) {G0,W18,D3,L3,V4,M3} { ! perp( Z, T, X, Y ), ! cong( Z, X, Z, Y )
% 4.51/4.92 , coll( Y, X, skol4( X, Y, Z, T ) ) }.
% 4.51/4.92 (24701) {G0,W22,D3,L3,V6,M3} { ! eqangle( X, Z, Y, Z, X, T, Y, U ), coll(
% 4.51/4.92 X, Y, Z ), cyclic( T, Y, Z, skol5( W, Y, Z, T ) ) }.
% 4.51/4.92 (24702) {G0,W30,D3,L3,V5,M3} { ! eqangle( X, Z, Y, Z, X, T, Y, U ), coll(
% 4.51/4.92 X, Y, Z ), eqangle( X, Z, Y, Z, X, skol5( X, Y, Z, T ), Y, skol5( X, Y, Z
% 4.51/4.92 , T ) ) }.
% 4.51/4.92 (24703) {G0,W18,D3,L3,V10,M3} { ! midp( U, X, Y ), ! midp( W, Z, T ), midp
% 4.51/4.92 ( skol6( X, V0, V1, T, V2, V3 ), X, T ) }.
% 4.51/4.92 (24704) {G0,W19,D3,L3,V8,M3} { ! midp( U, X, Y ), ! midp( W, Z, T ), para
% 4.51/4.92 ( skol6( X, V0, Z, T, V1, W ), W, X, Z ) }.
% 4.51/4.92 (24705) {G0,W19,D3,L3,V6,M3} { ! midp( U, X, Y ), ! midp( W, Z, T ), para
% 4.51/4.92 ( skol6( X, Y, Z, T, U, W ), U, Y, T ) }.
% 4.51/4.92 (24706) {G0,W22,D3,L5,V7,M5} { ! midp( Z, X, Y ), ! midp( W, T, U ), !
% 4.51/4.92 coll( T, X, Y ), ! coll( U, X, Y ), midp( skol7( X, V0 ), X, V0 ) }.
% 4.51/4.92 (24707) {G0,W26,D3,L5,V8,M5} { ! midp( T, X, U ), ! para( X, W, Z, T ), !
% 4.51/4.92 para( X, W, U, Y ), ! coll( W, Y, Z ), coll( skol8( V0, V1, Z, T ), T, Z
% 4.51/4.92 ) }.
% 4.51/4.92 (24708) {G0,W26,D3,L5,V6,M5} { ! midp( T, X, U ), ! para( X, W, Z, T ), !
% 4.51/4.92 para( X, W, U, Y ), ! coll( W, Y, Z ), coll( skol8( X, Y, Z, T ), X, Y )
% 4.51/4.92 }.
% 4.51/4.92 (24709) {G0,W19,D3,L3,V7,M3} { ! cong( T, Z, T, U ), ! perp( X, Y, Y, T )
% 4.51/4.92 , cong( T, Z, T, skol9( W, V0, Z, T ) ) }.
% 4.51/4.92 (24710) {G0,W19,D3,L3,V6,M3} { ! cong( T, Z, T, U ), ! perp( X, Y, Y, T )
% 4.51/4.92 , cong( Y, Z, Y, skol9( W, Y, Z, T ) ) }.
% 4.51/4.92 (24711) {G0,W19,D3,L3,V5,M3} { ! cong( T, Z, T, U ), ! perp( X, Y, Y, T )
% 4.51/4.92 , para( skol9( X, Y, Z, T ), Z, X, Y ) }.
% 4.51/4.92 (24712) {G0,W17,D3,L3,V5,M3} { ! perp( X, T, Y, Z ), ! perp( Y, T, X, Z )
% 4.51/4.92 , coll( skol10( U, Y, Z ), Z, Y ) }.
% 4.51/4.92 (24713) {G0,W18,D3,L3,V4,M3} { ! perp( X, T, Y, Z ), ! perp( Y, T, X, Z )
% 4.51/4.92 , perp( X, skol10( X, Y, Z ), Z, Y ) }.
% 4.51/4.92 (24714) {G0,W14,D2,L3,V4,M3} { ! perp( X, T, Y, Z ), ! perp( Y, T, X, Z )
% 4.51/4.92 , alpha1( X, Y, Z ) }.
% 4.51/4.92 (24715) {G0,W11,D3,L2,V4,M2} { ! alpha1( X, Y, Z ), coll( skol11( X, T, Z
% 4.51/4.92 ), Z, X ) }.
% 4.51/4.92 (24716) {G0,W12,D3,L2,V3,M2} { ! alpha1( X, Y, Z ), perp( Y, skol11( X, Y
% 4.51/4.92 , Z ), Z, X ) }.
% 4.51/4.92 (24717) {G0,W13,D2,L3,V4,M3} { ! coll( T, Z, X ), ! perp( Y, T, Z, X ),
% 4.51/4.92 alpha1( X, Y, Z ) }.
% 4.51/4.92 (24718) {G0,W12,D3,L2,V4,M2} { ! circle( Y, X, Z, T ), perp( skol12( X, Y
% 4.51/4.92 ), X, X, Y ) }.
% 4.51/4.92 (24719) {G0,W28,D3,L5,V8,M5} { ! circle( W, X, Y, Z ), ! cong( W, X, W, T
% 4.51/4.92 ), ! cong( U, X, U, Y ), W = U, alpha2( X, Z, U, skol13( X, V0, Z, V1, U
% 4.51/4.92 ) ) }.
% 4.51/4.92 (24720) {G0,W26,D3,L5,V8,M5} { ! circle( W, X, Y, Z ), ! cong( W, X, W, T
% 4.51/4.92 ), ! cong( U, X, U, Y ), W = U, coll( skol21( V0, Y, T, V1 ), Y, T ) }.
% 4.51/4.92 (24721) {G0,W27,D3,L5,V6,M5} { ! circle( W, X, Y, Z ), ! cong( W, X, W, T
% 4.51/4.92 ), ! cong( U, X, U, Y ), W = U, cong( skol21( X, Y, T, U ), U, U, X )
% 4.51/4.92 }.
% 4.51/4.92 (24722) {G0,W9,D2,L2,V4,M2} { ! alpha2( X, Y, Z, T ), coll( T, X, Y ) }.
% 4.51/4.92 (24723) {G0,W10,D2,L2,V4,M2} { ! alpha2( X, Y, Z, T ), cong( T, Z, Z, X )
% 4.51/4.92 }.
% 4.51/4.92 (24724) {G0,W14,D2,L3,V4,M3} { ! coll( T, X, Y ), ! cong( T, Z, Z, X ),
% 4.51/4.92 alpha2( X, Y, Z, T ) }.
% 4.51/4.92 (24725) {G0,W22,D3,L4,V5,M4} { ! cyclic( X, Y, Z, T ), ! para( X, Y, Z, T
% 4.51/4.92 ), ! midp( U, X, Y ), circle( skol14( X, Y, Z ), X, Y, Z ) }.
% 4.51/4.92 (24726) {G0,W18,D3,L3,V4,M3} { ! perp( X, Z, Z, Y ), ! cyclic( X, Y, Z, T
% 4.51/4.92 ), circle( skol15( X, Y, Z ), X, Y, Z ) }.
% 4.51/4.92 (24727) {G0,W16,D3,L3,V6,M3} { ! perp( X, U, U, T ), ! coll( T, Y, Z ),
% 4.51/4.92 coll( skol16( W, Y, Z ), Y, Z ) }.
% 4.51/4.92 (24728) {G0,W17,D3,L3,V5,M3} { ! perp( X, U, U, T ), ! coll( T, Y, Z ),
% 4.51/4.92 perp( skol16( X, Y, Z ), X, Y, Z ) }.
% 4.51/4.92 (24729) {G0,W20,D3,L4,V5,M4} { ! perp( X, Z, X, Y ), ! perp( Y, X, Y, T )
% 4.51/4.92 , ! midp( U, Z, T ), midp( skol17( X, Y ), X, Y ) }.
% 4.51/4.92 (24730) {G0,W16,D3,L3,V3,M3} { ! cong( Y, X, Y, Z ), ! perp( X, Y, Y, Z )
% 4.51/4.92 , coll( X, Y, skol18( X, Y ) ) }.
% 4.51/4.92 (24731) {G0,W17,D3,L3,V3,M3} { ! cong( Y, X, Y, Z ), ! perp( X, Y, Y, Z )
% 4.51/4.92 , cong( Y, X, Y, skol18( X, Y ) ) }.
% 4.51/4.92 (24732) {G0,W25,D3,L5,V8,M5} { ! para( U, W, X, Y ), ! coll( Z, U, X ), !
% 4.51/4.92 coll( Z, W, Y ), ! coll( T, U, W ), coll( Z, T, skol19( V0, V1, Z, T ) )
% 4.51/4.92 }.
% 4.51/4.92 (24733) {G0,W25,D3,L5,V6,M5} { ! para( U, W, X, Y ), ! coll( Z, U, X ), !
% 4.51/4.92 coll( Z, W, Y ), ! coll( T, U, W ), coll( skol19( X, Y, Z, T ), X, Y )
% 4.51/4.92 }.
% 4.51/4.92 (24734) {G0,W5,D2,L1,V0,M1} { perp( skol20, skol27, skol25, skol26 ) }.
% 4.51/4.92 (24735) {G0,W4,D2,L1,V0,M1} { coll( skol20, skol25, skol26 ) }.
% 4.51/4.92 (24736) {G0,W5,D2,L1,V0,M1} { perp( skol22, skol26, skol25, skol27 ) }.
% 4.51/4.92 (24737) {G0,W4,D2,L1,V0,M1} { coll( skol22, skol25, skol27 ) }.
% 4.51/4.92 (24738) {G0,W4,D2,L1,V0,M1} { midp( skol23, skol27, skol26 ) }.
% 4.51/4.92 (24739) {G0,W4,D2,L1,V0,M1} { midp( skol24, skol20, skol22 ) }.
% 4.51/4.92 (24740) {G0,W5,D2,L1,V0,M1} { ! perp( skol23, skol24, skol20, skol22 ) }.
% 4.51/4.92
% 4.51/4.92
% 4.51/4.92 Total Proof:
% 4.51/4.92
% 4.51/4.92 subsumption: (0) {G0,W8,D2,L2,V3,M2} I { ! coll( X, Y, Z ), coll( X, Z, Y )
% 4.51/4.92 }.
% 4.51/4.92 parent0: (24617) {G0,W8,D2,L2,V3,M2} { ! coll( X, Y, Z ), coll( X, Z, Y )
% 4.51/4.92 }.
% 4.51/4.92 substitution0:
% 4.51/4.92 X := X
% 4.51/4.92 Y := Y
% 4.51/4.92 Z := Z
% 4.51/4.92 end
% 4.51/4.92 permutation0:
% 4.51/4.92 0 ==> 0
% 4.51/4.92 1 ==> 1
% 4.51/4.92 end
% 4.51/4.92
% 4.51/4.92 subsumption: (1) {G0,W8,D2,L2,V3,M2} I { ! coll( X, Y, Z ), coll( Y, X, Z )
% 4.51/4.92 }.
% 4.51/4.92 parent0: (24618) {G0,W8,D2,L2,V3,M2} { ! coll( X, Y, Z ), coll( Y, X, Z )
% 4.51/4.92 }.
% 4.51/4.92 substitution0:
% 4.51/4.92 X := X
% 4.51/4.92 Y := Y
% 4.51/4.92 Z := Z
% 4.51/4.92 end
% 4.51/4.92 permutation0:
% 4.51/4.92 0 ==> 0
% 4.51/4.92 1 ==> 1
% 4.51/4.92 end
% 4.51/4.92
% 4.51/4.92 subsumption: (2) {G0,W12,D2,L3,V4,M3} I { ! coll( X, T, Y ), ! coll( X, T,
% 4.51/4.92 Z ), coll( Y, Z, X ) }.
% 4.51/4.92 parent0: (24619) {G0,W12,D2,L3,V4,M3} { ! coll( X, T, Y ), ! coll( X, T, Z
% 4.51/4.92 ), coll( Y, Z, X ) }.
% 4.51/4.92 substitution0:
% 4.51/4.92 X := X
% 4.51/4.92 Y := Y
% 4.51/4.92 Z := Z
% 4.51/4.92 T := T
% 4.51/4.92 end
% 4.51/4.92 permutation0:
% 4.51/4.92 0 ==> 0
% 4.51/4.92 1 ==> 1
% 4.51/4.92 2 ==> 2
% 4.51/4.92 end
% 4.51/4.92
% 4.51/4.92 subsumption: (6) {G0,W10,D2,L2,V4,M2} I { ! perp( X, Y, Z, T ), perp( X, Y
% 4.51/4.92 , T, Z ) }.
% 4.51/4.92 parent0: (24623) {G0,W10,D2,L2,V4,M2} { ! perp( X, Y, Z, T ), perp( X, Y,
% 4.51/4.92 T, Z ) }.
% 4.51/4.92 substitution0:
% 4.51/4.92 X := X
% 4.51/4.92 Y := Y
% 4.51/4.92 Z := Z
% 4.51/4.92 T := T
% 4.51/4.92 end
% 4.51/4.92 permutation0:
% 4.51/4.92 0 ==> 0
% 4.51/4.92 1 ==> 1
% 4.51/4.92 end
% 4.51/4.92
% 4.51/4.92 subsumption: (7) {G0,W10,D2,L2,V4,M2} I { ! perp( X, Y, Z, T ), perp( Z, T
% 4.51/4.92 , X, Y ) }.
% 4.51/4.92 parent0: (24624) {G0,W10,D2,L2,V4,M2} { ! perp( X, Y, Z, T ), perp( Z, T,
% 4.51/4.92 X, Y ) }.
% 4.51/4.92 substitution0:
% 4.51/4.92 X := X
% 4.51/4.92 Y := Y
% 4.51/4.92 Z := Z
% 4.51/4.92 T := T
% 4.51/4.92 end
% 4.51/4.92 permutation0:
% 4.51/4.92 0 ==> 0
% 4.51/4.92 1 ==> 1
% 4.51/4.92 end
% 4.51/4.92
% 4.51/4.92 subsumption: (8) {G0,W15,D2,L3,V6,M3} I { ! perp( X, Y, U, W ), ! perp( U,
% 4.51/4.92 W, Z, T ), para( X, Y, Z, T ) }.
% 4.51/4.92 parent0: (24625) {G0,W15,D2,L3,V6,M3} { ! perp( X, Y, U, W ), ! perp( U, W
% 4.51/4.92 , Z, T ), para( X, Y, Z, T ) }.
% 4.51/4.92 substitution0:
% 4.51/4.92 X := X
% 4.51/4.92 Y := Y
% 4.51/4.92 Z := Z
% 4.51/4.92 T := T
% 4.51/4.92 U := U
% 4.51/4.92 W := W
% 4.51/4.92 end
% 4.51/4.92 permutation0:
% 4.51/4.92 0 ==> 0
% 4.51/4.92 1 ==> 1
% 4.51/4.92 2 ==> 2
% 4.51/4.92 end
% 4.51/4.92
% 4.51/4.92 subsumption: (9) {G0,W15,D2,L3,V6,M3} I { ! para( X, Y, U, W ), ! perp( U,
% 4.51/4.92 W, Z, T ), perp( X, Y, Z, T ) }.
% 4.51/4.92 parent0: (24626) {G0,W15,D2,L3,V6,M3} { ! para( X, Y, U, W ), ! perp( U, W
% 4.51/4.92 , Z, T ), perp( X, Y, Z, T ) }.
% 4.51/4.92 substitution0:
% 4.51/4.92 X := X
% 4.51/4.92 Y := Y
% 4.51/4.92 Z := Z
% 4.51/4.92 T := T
% 4.51/4.92 U := U
% 4.51/4.92 W := W
% 4.51/4.92 end
% 4.51/4.92 permutation0:
% 4.51/4.92 0 ==> 0
% 4.51/4.92 1 ==> 1
% 4.51/4.92 2 ==> 2
% 4.51/4.92 end
% 4.51/4.92
% 4.51/4.92 subsumption: (10) {G0,W8,D2,L2,V3,M2} I { ! midp( Z, Y, X ), midp( Z, X, Y
% 4.51/4.92 ) }.
% 4.51/4.92 parent0: (24627) {G0,W8,D2,L2,V3,M2} { ! midp( Z, Y, X ), midp( Z, X, Y )
% 4.51/4.92 }.
% 4.51/4.92 substitution0:
% 4.51/4.92 X := X
% 4.51/4.92 Y := Y
% 4.51/4.92 Z := Z
% 4.51/4.92 end
% 4.51/4.92 permutation0:
% 4.51/4.92 0 ==> 0
% 4.51/4.92 1 ==> 1
% 4.51/4.92 end
% 4.51/4.92
% 4.51/4.92 subsumption: (11) {G0,W15,D2,L3,V4,M3} I { ! cong( T, X, T, Y ), ! cong( T
% 4.51/4.92 , X, T, Z ), circle( T, X, Y, Z ) }.
% 4.51/4.92 parent0: (24628) {G0,W15,D2,L3,V4,M3} { ! cong( T, X, T, Y ), ! cong( T, X
% 4.51/4.92 , T, Z ), circle( T, X, Y, Z ) }.
% 4.51/4.92 substitution0:
% 4.51/4.92 X := X
% 4.51/4.92 Y := Y
% 4.51/4.92 Z := Z
% 4.51/4.92 T := T
% 4.51/4.92 end
% 4.51/4.92 permutation0:
% 4.51/4.92 0 ==> 0
% 4.51/4.92 1 ==> 1
% 4.51/4.92 2 ==> 2
% 4.51/4.92 end
% 4.51/4.92
% 4.51/4.92 subsumption: (13) {G0,W10,D2,L2,V4,M2} I { ! cyclic( X, Y, Z, T ), cyclic(
% 4.51/4.92 X, Y, T, Z ) }.
% 4.51/4.92 parent0: (24630) {G0,W10,D2,L2,V4,M2} { ! cyclic( X, Y, Z, T ), cyclic( X
% 4.51/4.92 , Y, T, Z ) }.
% 4.51/4.92 substitution0:
% 4.51/4.92 X := X
% 4.51/4.92 Y := Y
% 4.51/4.92 Z := Z
% 4.51/4.92 T := T
% 4.51/4.92 end
% 4.51/4.92 permutation0:
% 4.51/4.92 0 ==> 0
% 4.51/4.92 1 ==> 1
% 4.51/4.92 end
% 4.51/4.92
% 4.51/4.92 subsumption: (14) {G0,W10,D2,L2,V4,M2} I { ! cyclic( X, Y, Z, T ), cyclic(
% 4.51/4.92 X, Z, Y, T ) }.
% 4.51/4.92 parent0: (24631) {G0,W10,D2,L2,V4,M2} { ! cyclic( X, Y, Z, T ), cyclic( X
% 4.51/4.92 , Z, Y, T ) }.
% 4.51/4.92 substitution0:
% 4.51/4.92 X := X
% 4.51/4.92 Y := Y
% 4.51/4.92 Z := Z
% 4.51/4.92 T := T
% 4.51/4.92 end
% 4.51/4.92 permutation0:
% 4.51/4.92 0 ==> 0
% 4.51/4.92 1 ==> 1
% 4.51/4.92 end
% 4.51/4.92
% 4.51/4.92 subsumption: (15) {G0,W10,D2,L2,V4,M2} I { ! cyclic( X, Y, Z, T ), cyclic(
% 4.51/4.92 Y, X, Z, T ) }.
% 4.51/4.92 parent0: (24632) {G0,W10,D2,L2,V4,M2} { ! cyclic( X, Y, Z, T ), cyclic( Y
% 4.51/4.92 , X, Z, T ) }.
% 4.51/4.92 substitution0:
% 4.51/4.92 X := X
% 4.51/4.92 Y := Y
% 4.51/4.92 Z := Z
% 4.51/4.92 T := T
% 4.51/4.92 end
% 4.51/4.92 permutation0:
% 4.51/4.92 0 ==> 0
% 4.51/4.92 1 ==> 1
% 4.51/4.92 end
% 4.51/4.92
% 4.51/4.92 subsumption: (16) {G0,W15,D2,L3,V5,M3} I { ! cyclic( U, X, Y, Z ), ! cyclic
% 4.51/4.92 ( U, X, Y, T ), cyclic( X, Y, Z, T ) }.
% 4.51/4.92 parent0: (24633) {G0,W15,D2,L3,V5,M3} { ! cyclic( U, X, Y, Z ), ! cyclic(
% 4.51/4.92 U, X, Y, T ), cyclic( X, Y, Z, T ) }.
% 4.51/4.92 substitution0:
% 4.51/4.92 X := X
% 4.51/4.92 Y := Y
% 4.51/4.92 Z := Z
% 4.51/4.92 T := T
% 4.51/4.92 U := U
% 4.51/4.92 end
% 4.51/4.92 permutation0:
% 4.51/4.92 0 ==> 0
% 4.51/4.92 1 ==> 1
% 4.51/4.92 2 ==> 2
% 4.51/4.92 end
% 4.51/4.92
% 4.51/4.92 subsumption: (39) {G0,W14,D2,L2,V6,M2} I { ! para( X, Y, Z, T ), eqangle( X
% 4.51/4.92 , Y, U, W, Z, T, U, W ) }.
% 4.51/4.92 parent0: (24656) {G0,W14,D2,L2,V6,M2} { ! para( X, Y, Z, T ), eqangle( X,
% 4.51/4.92 Y, U, W, Z, T, U, W ) }.
% 4.51/4.92 substitution0:
% 4.51/4.92 X := X
% 4.51/4.92 Y := Y
% 4.51/4.92 Z := Z
% 4.51/4.92 T := T
% 4.51/4.92 U := U
% 4.51/4.92 W := W
% 4.51/4.92 end
% 4.51/4.92 permutation0:
% 4.51/4.92 0 ==> 0
% 4.51/4.92 1 ==> 1
% 4.51/4.92 end
% 4.51/4.92
% 4.51/4.92 subsumption: (40) {G0,W14,D2,L2,V4,M2} I { ! cyclic( X, Y, Z, T ), eqangle
% 4.51/4.92 ( Z, X, Z, Y, T, X, T, Y ) }.
% 4.51/4.92 parent0: (24657) {G0,W14,D2,L2,V4,M2} { ! cyclic( X, Y, Z, T ), eqangle( Z
% 4.51/4.92 , X, Z, Y, T, X, T, Y ) }.
% 4.51/4.92 substitution0:
% 4.51/4.92 X := X
% 4.51/4.92 Y := Y
% 4.51/4.92 Z := Z
% 4.51/4.92 T := T
% 4.51/4.92 end
% 4.51/4.92 permutation0:
% 4.51/4.92 0 ==> 0
% 4.51/4.92 1 ==> 1
% 4.51/4.92 end
% 4.51/4.92
% 4.51/4.92 subsumption: (42) {G0,W18,D2,L3,V4,M3} I { ! eqangle( Z, X, Z, Y, T, X, T,
% 4.51/4.92 Y ), ! coll( Z, T, Y ), cyclic( X, Y, Z, T ) }.
% 4.51/4.92 parent0: (24659) {G0,W18,D2,L3,V4,M3} { ! eqangle( Z, X, Z, Y, T, X, T, Y
% 4.51/4.92 ), ! coll( Z, T, Y ), cyclic( X, Y, Z, T ) }.
% 4.51/4.92 substitution0:
% 4.51/4.92 X := X
% 4.51/4.92 Y := Y
% 4.51/4.92 Z := Z
% 4.51/4.92 T := T
% 4.51/4.92 end
% 4.51/4.92 permutation0:
% 4.51/4.92 0 ==> 0
% 4.51/4.92 1 ==> 1
% 4.51/4.92 2 ==> 2
% 4.51/4.92 end
% 4.51/4.92
% 4.51/4.92 subsumption: (43) {G0,W29,D2,L5,V6,M5} I { ! cyclic( X, Y, U, Z ), ! cyclic
% 4.51/4.92 ( X, Y, U, T ), ! cyclic( X, Y, U, W ), ! eqangle( U, X, U, Y, W, Z, W, T
% 4.51/4.92 ), cong( X, Y, Z, T ) }.
% 4.51/4.92 parent0: (24660) {G0,W29,D2,L5,V6,M5} { ! cyclic( X, Y, U, Z ), ! cyclic(
% 4.51/4.92 X, Y, U, T ), ! cyclic( X, Y, U, W ), ! eqangle( U, X, U, Y, W, Z, W, T )
% 4.51/4.92 , cong( X, Y, Z, T ) }.
% 4.51/4.92 substitution0:
% 4.51/4.92 X := X
% 4.51/4.92 Y := Y
% 4.51/4.92 Z := Z
% 4.51/4.92 T := T
% 4.51/4.92 U := U
% 4.51/4.92 W := W
% 4.51/4.92 end
% 4.51/4.92 permutation0:
% 4.51/4.92 0 ==> 0
% 4.51/4.92 1 ==> 1
% 4.51/4.92 2 ==> 2
% 4.51/4.92 3 ==> 3
% 4.51/4.92 4 ==> 4
% 4.51/4.92 end
% 4.51/4.92
% 4.51/4.92 subsumption: (53) {G0,W14,D2,L3,V4,M3} I { ! circle( T, X, Y, Z ), ! coll(
% 4.51/4.92 T, X, Z ), perp( X, Y, Y, Z ) }.
% 4.51/4.92 parent0: (24670) {G0,W14,D2,L3,V4,M3} { ! circle( T, X, Y, Z ), ! coll( T
% 4.51/4.92 , X, Z ), perp( X, Y, Y, Z ) }.
% 4.51/4.92 substitution0:
% 4.51/4.92 X := X
% 4.51/4.92 Y := Y
% 4.51/4.92 Z := Z
% 4.51/4.92 T := T
% 4.51/4.92 end
% 4.51/4.92 permutation0:
% 4.51/4.92 0 ==> 0
% 4.51/4.92 1 ==> 1
% 4.51/4.92 2 ==> 2
% 4.51/4.92 end
% 4.51/4.92
% 4.51/4.92 subsumption: (56) {G0,W15,D2,L3,V4,M3} I { ! cong( X, Z, Y, Z ), ! cong( X
% 4.51/4.92 , T, Y, T ), perp( X, Y, Z, T ) }.
% 4.51/4.92 parent0: (24673) {G0,W15,D2,L3,V4,M3} { ! cong( X, Z, Y, Z ), ! cong( X, T
% 4.51/4.92 , Y, T ), perp( X, Y, Z, T ) }.
% 4.51/4.92 substitution0:
% 4.51/4.92 X := X
% 4.51/4.92 Y := Y
% 4.51/4.92 Z := Z
% 4.51/4.92 T := T
% 4.51/4.92 end
% 4.51/4.92 permutation0:
% 4.51/4.92 0 ==> 0
% 4.51/4.92 1 ==> 1
% 4.51/4.92 2 ==> 2
% 4.51/4.92 end
% 4.51/4.92
% 4.51/4.92 subsumption: (68) {G0,W9,D2,L2,V3,M2} I { ! midp( X, Y, Z ), cong( X, Y, X
% 4.51/4.92 , Z ) }.
% 4.51/4.92 parent0: (24685) {G0,W9,D2,L2,V3,M2} { ! midp( X, Y, Z ), cong( X, Y, X, Z
% 4.51/4.92 ) }.
% 4.51/4.92 substitution0:
% 4.51/4.92 X := X
% 4.51/4.92 Y := Y
% 4.51/4.92 Z := Z
% 4.51/4.92 end
% 4.51/4.92 permutation0:
% 4.51/4.92 0 ==> 0
% 4.51/4.92 1 ==> 1
% 4.51/4.92 end
% 4.51/4.92
% 4.51/4.92 subsumption: (69) {G0,W8,D2,L2,V3,M2} I { ! midp( X, Y, Z ), coll( X, Y, Z
% 4.51/4.92 ) }.
% 4.51/4.92 parent0: (24686) {G0,W8,D2,L2,V3,M2} { ! midp( X, Y, Z ), coll( X, Y, Z )
% 4.51/4.92 }.
% 4.51/4.92 substitution0:
% 4.51/4.92 X := X
% 4.51/4.92 Y := Y
% 4.51/4.92 Z := Z
% 4.51/4.92 end
% 4.51/4.92 permutation0:
% 4.51/4.92 0 ==> 0
% 4.51/4.92 1 ==> 1
% 4.51/4.92 end
% 4.51/4.92
% 4.51/4.92 subsumption: (88) {G0,W22,D3,L5,V7,M5} I { ! midp( Z, X, Y ), ! midp( W, T
% 4.51/4.92 , U ), ! coll( T, X, Y ), ! coll( U, X, Y ), midp( skol7( X, V0 ), X, V0
% 4.51/4.92 ) }.
% 4.51/4.92 parent0: (24706) {G0,W22,D3,L5,V7,M5} { ! midp( Z, X, Y ), ! midp( W, T, U
% 4.51/4.92 ), ! coll( T, X, Y ), ! coll( U, X, Y ), midp( skol7( X, V0 ), X, V0 )
% 4.51/4.92 }.
% 4.51/4.92 substitution0:
% 4.51/4.92 X := X
% 4.51/4.92 Y := Y
% 4.51/4.92 Z := Z
% 4.51/4.92 T := T
% 4.51/4.92 U := U
% 4.51/4.92 W := W
% 4.51/4.92 V0 := V0
% 4.51/4.92 end
% 4.51/4.92 permutation0:
% 4.51/4.92 0 ==> 0
% 4.51/4.92 1 ==> 1
% 4.51/4.92 2 ==> 2
% 4.51/4.92 3 ==> 3
% 4.51/4.92 4 ==> 4
% 4.51/4.92 end
% 4.51/4.92
% 4.51/4.92 subsumption: (95) {G0,W18,D3,L3,V4,M3} I { ! perp( X, T, Y, Z ), ! perp( Y
% 4.51/4.92 , T, X, Z ), perp( X, skol10( X, Y, Z ), Z, Y ) }.
% 4.51/4.92 parent0: (24713) {G0,W18,D3,L3,V4,M3} { ! perp( X, T, Y, Z ), ! perp( Y, T
% 4.51/4.92 , X, Z ), perp( X, skol10( X, Y, Z ), Z, Y ) }.
% 4.51/4.92 substitution0:
% 4.51/4.92 X := X
% 4.51/4.92 Y := Y
% 4.51/4.92 Z := Z
% 4.51/4.92 T := T
% 4.51/4.92 end
% 4.51/4.92 permutation0:
% 4.51/4.92 0 ==> 0
% 4.51/4.92 1 ==> 1
% 4.51/4.92 2 ==> 2
% 4.51/4.92 end
% 4.51/4.92
% 4.51/4.92 subsumption: (96) {G0,W14,D2,L3,V4,M3} I { ! perp( X, T, Y, Z ), ! perp( Y
% 4.51/4.92 , T, X, Z ), alpha1( X, Y, Z ) }.
% 4.51/4.92 parent0: (24714) {G0,W14,D2,L3,V4,M3} { ! perp( X, T, Y, Z ), ! perp( Y, T
% 4.51/4.92 , X, Z ), alpha1( X, Y, Z ) }.
% 4.51/4.92 substitution0:
% 4.51/4.92 X := X
% 4.51/4.92 Y := Y
% 4.51/4.92 Z := Z
% 4.51/4.92 T := T
% 4.51/4.92 end
% 4.51/4.92 permutation0:
% 4.51/4.92 0 ==> 0
% 4.51/4.92 1 ==> 1
% 4.51/4.92 2 ==> 2
% 4.51/4.92 end
% 4.51/4.92
% 4.51/4.92 subsumption: (98) {G0,W12,D3,L2,V3,M2} I { ! alpha1( X, Y, Z ), perp( Y,
% 4.51/4.92 skol11( X, Y, Z ), Z, X ) }.
% 4.51/4.92 parent0: (24716) {G0,W12,D3,L2,V3,M2} { ! alpha1( X, Y, Z ), perp( Y,
% 4.51/4.92 skol11( X, Y, Z ), Z, X ) }.
% 4.51/4.92 substitution0:
% 4.51/4.92 X := X
% 4.51/4.92 Y := Y
% 4.51/4.92 Z := Z
% 4.51/4.92 end
% 4.51/4.92 permutation0:
% 4.51/4.92 0 ==> 0
% 4.51/4.92 1 ==> 1
% 4.51/4.92 end
% 4.51/4.92
% 4.51/4.92 subsumption: (100) {G0,W12,D3,L2,V4,M2} I { ! circle( Y, X, Z, T ), perp(
% 4.51/4.92 skol12( X, Y ), X, X, Y ) }.
% 4.51/4.92 parent0: (24718) {G0,W12,D3,L2,V4,M2} { ! circle( Y, X, Z, T ), perp(
% 4.51/4.92 skol12( X, Y ), X, X, Y ) }.
% 4.51/4.92 substitution0:
% 4.51/4.92 X := X
% 4.51/4.92 Y := Y
% 4.51/4.92 Z := Z
% 4.51/4.92 T := T
% 4.51/4.92 end
% 4.51/4.92 permutation0:
% 4.51/4.92 0 ==> 0
% 4.51/4.92 1 ==> 1
% 4.51/4.92 end
% 4.51/4.92
% 4.51/4.92 subsumption: (110) {G0,W17,D3,L3,V5,M3} I { ! perp( X, U, U, T ), ! coll( T
% 4.51/4.92 , Y, Z ), perp( skol16( X, Y, Z ), X, Y, Z ) }.
% 4.51/4.92 parent0: (24728) {G0,W17,D3,L3,V5,M3} { ! perp( X, U, U, T ), ! coll( T, Y
% 4.51/4.92 , Z ), perp( skol16( X, Y, Z ), X, Y, Z ) }.
% 4.51/4.92 substitution0:
% 4.51/4.92 X := X
% 4.51/4.92 Y := Y
% 4.51/4.92 Z := Z
% 4.51/4.92 T := T
% 4.51/4.92 U := U
% 4.51/4.92 end
% 4.51/4.92 permutation0:
% 4.51/4.92 0 ==> 0
% 4.51/4.92 1 ==> 1
% 4.51/4.92 2 ==> 2
% 4.51/4.92 end
% 4.51/4.92
% 4.51/4.92 *** allocated 1946160 integers for clauses
% 4.51/4.92 subsumption: (120) {G0,W4,D2,L1,V0,M1} I { midp( skol23, skol27, skol26 )
% 4.51/4.92 }.
% 4.51/4.92 parent0: (24738) {G0,W4,D2,L1,V0,M1} { midp( skol23, skol27, skol26 ) }.
% 4.51/4.92 substitution0:
% 4.51/4.92 end
% 4.51/4.92 permutation0:
% 4.51/4.92 0 ==> 0
% 4.51/4.92 end
% 4.51/4.92
% 4.51/4.92 subsumption: (121) {G0,W4,D2,L1,V0,M1} I { midp( skol24, skol20, skol22 )
% 4.51/4.92 }.
% 4.51/4.92 parent0: (24739) {G0,W4,D2,L1,V0,M1} { midp( skol24, skol20, skol22 ) }.
% 4.51/4.92 substitution0:
% 4.51/4.92 end
% 4.51/4.92 permutation0:
% 4.51/4.92 0 ==> 0
% 4.51/4.92 end
% 4.51/4.92
% 4.51/4.92 subsumption: (122) {G0,W5,D2,L1,V0,M1} I { ! perp( skol23, skol24, skol20,
% 4.51/4.92 skol22 ) }.
% 4.51/4.92 parent0: (24740) {G0,W5,D2,L1,V0,M1} { ! perp( skol23, skol24, skol20,
% 4.51/4.92 skol22 ) }.
% 4.51/4.92 substitution0:
% 4.51/4.92 end
% 4.51/4.92 permutation0:
% 4.51/4.92 0 ==> 0
% 4.51/4.92 end
% 4.51/4.92
% 4.51/4.92 factor: (25319) {G0,W10,D2,L2,V3,M2} { ! cong( X, Y, X, Z ), circle( X, Y
% 4.51/4.92 , Z, Z ) }.
% 4.51/4.92 parent0[0, 1]: (11) {G0,W15,D2,L3,V4,M3} I { ! cong( T, X, T, Y ), ! cong(
% 4.51/4.92 T, X, T, Z ), circle( T, X, Y, Z ) }.
% 4.51/4.92 substitution0:
% 4.51/4.92 X := Y
% 4.51/4.92 Y := Z
% 4.51/4.92 Z := Z
% 4.51/4.92 T := X
% 4.51/4.92 end
% 4.51/4.92
% 4.51/4.92 subsumption: (125) {G1,W10,D2,L2,V3,M2} F(11) { ! cong( X, Y, X, Z ),
% 4.51/4.92 circle( X, Y, Z, Z ) }.
% 4.51/4.92 parent0: (25319) {G0,W10,D2,L2,V3,M2} { ! cong( X, Y, X, Z ), circle( X, Y
% 4.51/4.92 , Z, Z ) }.
% 4.51/4.92 substitution0:
% 4.51/4.92 X := X
% 4.51/4.92 Y := Y
% 4.51/4.92 Z := Z
% 4.51/4.92 end
% 4.51/4.92 permutation0:
% 4.51/4.92 0 ==> 0
% 4.51/4.92 1 ==> 1
% 4.51/4.92 end
% 4.51/4.92
% 4.51/4.92 factor: (25320) {G0,W18,D3,L4,V4,M4} { ! midp( X, Y, Z ), ! coll( Y, Y, Z
% 4.51/4.92 ), ! coll( Z, Y, Z ), midp( skol7( Y, T ), Y, T ) }.
% 4.51/4.92 parent0[0, 1]: (88) {G0,W22,D3,L5,V7,M5} I { ! midp( Z, X, Y ), ! midp( W,
% 4.51/4.92 T, U ), ! coll( T, X, Y ), ! coll( U, X, Y ), midp( skol7( X, V0 ), X, V0
% 4.51/4.92 ) }.
% 4.51/4.92 substitution0:
% 4.51/4.92 X := Y
% 4.51/4.92 Y := Z
% 4.51/4.92 Z := X
% 4.51/4.92 T := Y
% 4.51/4.92 U := Z
% 4.51/4.92 W := X
% 4.51/4.92 V0 := T
% 4.51/4.92 end
% 4.51/4.92
% 4.51/4.92 subsumption: (145) {G1,W18,D3,L4,V4,M4} F(88) { ! midp( X, Y, Z ), ! coll(
% 4.51/4.92 Y, Y, Z ), ! coll( Z, Y, Z ), midp( skol7( Y, T ), Y, T ) }.
% 4.51/4.92 parent0: (25320) {G0,W18,D3,L4,V4,M4} { ! midp( X, Y, Z ), ! coll( Y, Y, Z
% 4.51/4.92 ), ! coll( Z, Y, Z ), midp( skol7( Y, T ), Y, T ) }.
% 4.51/4.92 substitution0:
% 4.51/4.92 X := X
% 4.51/4.92 Y := Y
% 4.51/4.92 Z := Z
% 4.51/4.92 T := T
% 4.51/4.92 end
% 4.51/4.92 permutation0:
% 4.51/4.92 0 ==> 0
% 4.51/4.92 1 ==> 1
% 4.51/4.92 2 ==> 2
% 4.51/4.92 3 ==> 3
% 4.51/4.92 end
% 4.51/4.92
% 4.51/4.92 factor: (25323) {G0,W9,D2,L2,V3,M2} { ! perp( X, Y, X, Z ), alpha1( X, X,
% 4.51/4.92 Z ) }.
% 4.51/4.92 parent0[0, 1]: (96) {G0,W14,D2,L3,V4,M3} I { ! perp( X, T, Y, Z ), ! perp(
% 4.51/4.92 Y, T, X, Z ), alpha1( X, Y, Z ) }.
% 4.51/4.92 substitution0:
% 4.51/4.92 X := X
% 4.51/4.92 Y := X
% 4.51/4.92 Z := Z
% 4.51/4.92 T := Y
% 4.51/4.92 end
% 4.51/4.92
% 4.51/4.92 subsumption: (152) {G1,W9,D2,L2,V3,M2} F(96) { ! perp( X, Y, X, Z ), alpha1
% 4.51/4.92 ( X, X, Z ) }.
% 4.51/4.92 parent0: (25323) {G0,W9,D2,L2,V3,M2} { ! perp( X, Y, X, Z ), alpha1( X, X
% 4.51/4.92 , Z ) }.
% 4.51/4.92 substitution0:
% 4.51/4.92 X := X
% 4.51/4.92 Y := Y
% 4.51/4.92 Z := Z
% 4.51/4.92 end
% 4.51/4.92 permutation0:
% 4.51/4.92 0 ==> 0
% 4.51/4.92 1 ==> 1
% 4.51/4.92 end
% 4.51/4.92
% 4.51/4.92 resolution: (25324) {G1,W8,D2,L2,V3,M2} { coll( Y, X, Z ), ! coll( X, Z, Y
% 4.51/4.92 ) }.
% 4.51/4.92 parent0[0]: (1) {G0,W8,D2,L2,V3,M2} I { ! coll( X, Y, Z ), coll( Y, X, Z )
% 4.51/4.92 }.
% 4.51/4.92 parent1[1]: (0) {G0,W8,D2,L2,V3,M2} I { ! coll( X, Y, Z ), coll( X, Z, Y )
% 4.51/4.92 }.
% 4.51/4.92 substitution0:
% 4.51/4.92 X := X
% 4.51/4.92 Y := Y
% 4.51/4.92 Z := Z
% 4.51/4.92 end
% 4.51/4.92 substitution1:
% 4.51/4.92 X := X
% 4.51/4.92 Y := Z
% 4.51/4.92 Z := Y
% 4.51/4.92 end
% 4.51/4.92
% 4.51/4.92 subsumption: (164) {G1,W8,D2,L2,V3,M2} R(1,0) { coll( X, Y, Z ), ! coll( Y
% 4.51/4.92 , Z, X ) }.
% 4.51/4.92 parent0: (25324) {G1,W8,D2,L2,V3,M2} { coll( Y, X, Z ), ! coll( X, Z, Y )
% 4.51/4.92 }.
% 4.51/4.92 substitution0:
% 4.51/4.92 X := Y
% 4.51/4.92 Y := X
% 4.51/4.92 Z := Z
% 4.51/4.92 end
% 4.51/4.92 permutation0:
% 4.51/4.92 0 ==> 0
% 4.51/4.92 1 ==> 1
% 4.51/4.92 end
% 4.51/4.92
% 4.51/4.92 resolution: (25326) {G1,W8,D2,L2,V3,M2} { coll( X, Z, Y ), ! coll( Y, X, Z
% 4.51/4.92 ) }.
% 4.51/4.92 parent0[0]: (0) {G0,W8,D2,L2,V3,M2} I { ! coll( X, Y, Z ), coll( X, Z, Y )
% 4.51/4.92 }.
% 4.51/4.92 parent1[1]: (1) {G0,W8,D2,L2,V3,M2} I { ! coll( X, Y, Z ), coll( Y, X, Z )
% 4.51/4.92 }.
% 4.51/4.92 substitution0:
% 4.51/4.92 X := X
% 4.51/4.92 Y := Y
% 4.51/4.92 Z := Z
% 4.51/4.92 end
% 4.51/4.92 substitution1:
% 4.51/4.92 X := Y
% 4.51/4.92 Y := X
% 4.51/4.92 Z := Z
% 4.51/4.92 end
% 4.51/4.92
% 4.51/4.92 subsumption: (165) {G1,W8,D2,L2,V3,M2} R(1,0) { ! coll( X, Y, Z ), coll( Y
% 4.51/4.92 , Z, X ) }.
% 4.51/4.92 parent0: (25326) {G1,W8,D2,L2,V3,M2} { coll( X, Z, Y ), ! coll( Y, X, Z )
% 4.51/4.92 }.
% 4.51/4.92 substitution0:
% 4.51/4.92 X := Y
% 4.51/4.92 Y := X
% 4.51/4.92 Z := Z
% 4.51/4.92 end
% 4.51/4.92 permutation0:
% 4.51/4.92 0 ==> 1
% 4.51/4.92 1 ==> 0
% 4.51/4.92 end
% 4.51/4.92
% 4.51/4.92 resolution: (25330) {G1,W12,D2,L3,V4,M3} { coll( X, Z, Y ), ! coll( Z, T,
% 4.51/4.92 X ), ! coll( Z, T, Y ) }.
% 4.51/4.92 parent0[0]: (0) {G0,W8,D2,L2,V3,M2} I { ! coll( X, Y, Z ), coll( X, Z, Y )
% 4.51/4.92 }.
% 4.51/4.92 parent1[2]: (2) {G0,W12,D2,L3,V4,M3} I { ! coll( X, T, Y ), ! coll( X, T, Z
% 4.51/4.92 ), coll( Y, Z, X ) }.
% 4.51/4.92 substitution0:
% 4.51/4.92 X := X
% 4.51/4.92 Y := Y
% 4.51/4.92 Z := Z
% 4.51/4.92 end
% 4.51/4.92 substitution1:
% 4.51/4.92 X := Z
% 4.51/4.92 Y := X
% 4.51/4.92 Z := Y
% 4.51/4.92 T := T
% 4.51/4.92 end
% 4.51/4.92
% 4.51/4.92 subsumption: (189) {G1,W12,D2,L3,V4,M3} R(2,0) { ! coll( X, Y, Z ), ! coll
% 4.51/4.92 ( X, Y, T ), coll( Z, X, T ) }.
% 4.51/4.92 parent0: (25330) {G1,W12,D2,L3,V4,M3} { coll( X, Z, Y ), ! coll( Z, T, X )
% 4.51/4.92 , ! coll( Z, T, Y ) }.
% 4.51/4.92 substitution0:
% 4.51/4.92 X := Z
% 4.51/4.92 Y := T
% 4.51/4.92 Z := X
% 4.51/4.92 T := Y
% 4.51/4.92 end
% 4.51/4.92 permutation0:
% 4.51/4.92 0 ==> 2
% 4.51/4.92 1 ==> 0
% 4.51/4.92 2 ==> 1
% 4.51/4.92 end
% 4.51/4.92
% 4.51/4.92 factor: (25332) {G1,W8,D2,L2,V3,M2} { ! coll( X, Y, Z ), coll( Z, X, Z )
% 4.51/4.92 }.
% 4.51/4.92 parent0[0, 1]: (189) {G1,W12,D2,L3,V4,M3} R(2,0) { ! coll( X, Y, Z ), !
% 4.51/4.92 coll( X, Y, T ), coll( Z, X, T ) }.
% 4.51/4.92 substitution0:
% 4.51/4.92 X := X
% 4.51/4.92 Y := Y
% 4.51/4.92 Z := Z
% 4.51/4.92 T := Z
% 4.51/4.92 end
% 4.51/4.92
% 4.51/4.92 subsumption: (194) {G2,W8,D2,L2,V3,M2} F(189) { ! coll( X, Y, Z ), coll( Z
% 4.51/4.92 , X, Z ) }.
% 4.51/4.92 parent0: (25332) {G1,W8,D2,L2,V3,M2} { ! coll( X, Y, Z ), coll( Z, X, Z )
% 4.51/4.92 }.
% 4.51/4.92 substitution0:
% 4.51/4.92 X := X
% 4.51/4.92 Y := Y
% 4.51/4.92 Z := Z
% 4.51/4.92 end
% 4.51/4.92 permutation0:
% 4.51/4.92 0 ==> 0
% 4.51/4.92 1 ==> 1
% 4.51/4.92 end
% 4.51/4.92
% 4.51/4.92 resolution: (25333) {G1,W12,D2,L3,V4,M3} { coll( Z, X, Z ), ! coll( Z, T,
% 4.51/4.92 X ), ! coll( Z, T, Y ) }.
% 4.51/4.92 parent0[0]: (194) {G2,W8,D2,L2,V3,M2} F(189) { ! coll( X, Y, Z ), coll( Z,
% 4.51/4.92 X, Z ) }.
% 4.51/4.92 parent1[2]: (2) {G0,W12,D2,L3,V4,M3} I { ! coll( X, T, Y ), ! coll( X, T, Z
% 4.51/4.92 ), coll( Y, Z, X ) }.
% 4.51/4.92 substitution0:
% 4.51/4.92 X := X
% 4.51/4.92 Y := Y
% 4.51/4.92 Z := Z
% 4.51/4.92 end
% 4.51/4.92 substitution1:
% 4.51/4.92 X := Z
% 4.51/4.92 Y := X
% 4.51/4.92 Z := Y
% 4.51/4.92 T := T
% 4.51/4.92 end
% 4.51/4.92
% 4.51/4.92 subsumption: (211) {G3,W12,D2,L3,V4,M3} R(194,2) { coll( X, Y, X ), ! coll
% 4.51/4.92 ( X, Z, Y ), ! coll( X, Z, T ) }.
% 4.51/4.92 parent0: (25333) {G1,W12,D2,L3,V4,M3} { coll( Z, X, Z ), ! coll( Z, T, X )
% 4.51/4.92 , ! coll( Z, T, Y ) }.
% 4.51/4.92 substitution0:
% 4.51/4.92 X := Y
% 4.51/4.92 Y := Y
% 4.51/4.92 Z := X
% 4.51/4.92 T := Z
% 4.51/4.92 end
% 4.51/4.92 permutation0:
% 4.51/4.92 0 ==> 0
% 4.51/4.92 1 ==> 1
% 4.51/4.92 2 ==> 1
% 4.51/4.92 end
% 4.51/4.92
% 4.51/4.92 factor: (25335) {G3,W8,D2,L2,V3,M2} { coll( X, Y, X ), ! coll( X, Z, Y )
% 4.51/4.92 }.
% 4.51/4.92 parent0[1, 2]: (211) {G3,W12,D2,L3,V4,M3} R(194,2) { coll( X, Y, X ), !
% 4.51/4.92 coll( X, Z, Y ), ! coll( X, Z, T ) }.
% 4.51/4.92 substitution0:
% 4.51/4.92 X := X
% 4.51/4.92 Y := Y
% 4.51/4.92 Z := Z
% 4.51/4.92 T := Y
% 4.51/4.92 end
% 4.51/4.92
% 4.51/4.92 subsumption: (224) {G4,W8,D2,L2,V3,M2} F(211) { coll( X, Y, X ), ! coll( X
% 4.51/4.92 , Z, Y ) }.
% 4.51/4.92 parent0: (25335) {G3,W8,D2,L2,V3,M2} { coll( X, Y, X ), ! coll( X, Z, Y )
% 4.51/4.92 }.
% 4.51/4.92 substitution0:
% 4.51/4.92 X := X
% 4.51/4.92 Y := Y
% 4.51/4.92 Z := Z
% 4.51/4.92 end
% 4.51/4.92 permutation0:
% 4.51/4.92 0 ==> 0
% 4.51/4.92 1 ==> 1
% 4.51/4.92 end
% 4.51/4.92
% 4.51/4.92 resolution: (25337) {G1,W10,D2,L2,V4,M2} { perp( X, Y, T, Z ), ! perp( Z,
% 4.51/4.92 T, X, Y ) }.
% 4.51/4.92 parent0[0]: (6) {G0,W10,D2,L2,V4,M2} I { ! perp( X, Y, Z, T ), perp( X, Y,
% 4.51/4.92 T, Z ) }.
% 4.51/4.92 parent1[1]: (7) {G0,W10,D2,L2,V4,M2} I { ! perp( X, Y, Z, T ), perp( Z, T,
% 4.51/4.92 X, Y ) }.
% 4.51/4.92 substitution0:
% 4.51/4.92 X := X
% 4.51/4.92 Y := Y
% 4.51/4.92 Z := Z
% 4.51/4.92 T := T
% 4.51/4.92 end
% 4.51/4.92 substitution1:
% 4.51/4.92 X := Z
% 4.51/4.92 Y := T
% 4.51/4.92 Z := X
% 4.51/4.92 T := Y
% 4.51/4.92 end
% 4.51/4.92
% 4.51/4.92 subsumption: (266) {G1,W10,D2,L2,V4,M2} R(7,6) { ! perp( X, Y, Z, T ), perp
% 4.51/4.92 ( Z, T, Y, X ) }.
% 4.51/4.92 parent0: (25337) {G1,W10,D2,L2,V4,M2} { perp( X, Y, T, Z ), ! perp( Z, T,
% 4.51/4.92 X, Y ) }.
% 4.51/4.92 substitution0:
% 4.51/4.92 X := Z
% 4.51/4.92 Y := T
% 4.51/4.92 Z := X
% 4.51/4.92 T := Y
% 4.51/4.92 end
% 4.51/4.92 permutation0:
% 4.51/4.92 0 ==> 1
% 4.51/4.92 1 ==> 0
% 4.51/4.92 end
% 4.51/4.92
% 4.51/4.92 resolution: (25338) {G1,W5,D2,L1,V0,M1} { ! perp( skol20, skol22, skol23,
% 4.51/4.92 skol24 ) }.
% 4.51/4.92 parent0[0]: (122) {G0,W5,D2,L1,V0,M1} I { ! perp( skol23, skol24, skol20,
% 4.51/4.92 skol22 ) }.
% 4.51/4.92 parent1[1]: (7) {G0,W10,D2,L2,V4,M2} I { ! perp( X, Y, Z, T ), perp( Z, T,
% 4.51/4.92 X, Y ) }.
% 4.51/4.92 substitution0:
% 4.51/4.92 end
% 4.51/4.92 substitution1:
% 4.51/4.92 X := skol20
% 4.51/4.92 Y := skol22
% 4.51/4.92 Z := skol23
% 4.51/4.92 T := skol24
% 4.51/4.92 end
% 4.51/4.92
% 4.51/4.92 subsumption: (269) {G1,W5,D2,L1,V0,M1} R(7,122) { ! perp( skol20, skol22,
% 4.51/4.92 skol23, skol24 ) }.
% 4.51/4.92 parent0: (25338) {G1,W5,D2,L1,V0,M1} { ! perp( skol20, skol22, skol23,
% 4.51/4.92 skol24 ) }.
% 4.51/4.92 substitution0:
% 4.51/4.92 end
% 4.51/4.92 permutation0:
% 4.51/4.92 0 ==> 0
% 4.51/4.92 end
% 4.51/4.92
% 4.51/4.92 resolution: (25339) {G1,W15,D2,L3,V6,M3} { ! perp( Z, T, U, W ), para( X,
% 4.51/4.92 Y, U, W ), ! perp( Z, T, X, Y ) }.
% 4.51/4.92 parent0[0]: (8) {G0,W15,D2,L3,V6,M3} I { ! perp( X, Y, U, W ), ! perp( U, W
% 4.51/4.92 , Z, T ), para( X, Y, Z, T ) }.
% 4.51/4.92 parent1[1]: (7) {G0,W10,D2,L2,V4,M2} I { ! perp( X, Y, Z, T ), perp( Z, T,
% 4.51/4.92 X, Y ) }.
% 4.51/4.92 substitution0:
% 4.51/4.92 X := X
% 4.51/4.92 Y := Y
% 4.51/4.92 Z := U
% 4.51/4.92 T := W
% 4.51/4.92 U := Z
% 4.51/4.92 W := T
% 4.51/4.92 end
% 4.51/4.92 substitution1:
% 4.51/4.92 X := Z
% 4.51/4.92 Y := T
% 4.51/4.92 Z := X
% 4.51/4.92 T := Y
% 4.51/4.92 end
% 4.51/4.92
% 4.51/4.92 subsumption: (277) {G1,W15,D2,L3,V6,M3} R(8,7) { ! perp( X, Y, Z, T ), para
% 4.51/4.92 ( U, W, Z, T ), ! perp( X, Y, U, W ) }.
% 4.51/4.92 parent0: (25339) {G1,W15,D2,L3,V6,M3} { ! perp( Z, T, U, W ), para( X, Y,
% 4.51/4.92 U, W ), ! perp( Z, T, X, Y ) }.
% 4.51/4.92 substitution0:
% 4.51/4.92 X := U
% 4.51/4.92 Y := W
% 4.51/4.92 Z := X
% 4.51/4.92 T := Y
% 4.51/4.92 U := Z
% 4.51/4.92 W := T
% 4.51/4.92 end
% 4.51/4.92 permutation0:
% 4.51/4.92 0 ==> 0
% 4.51/4.92 1 ==> 1
% 4.51/4.92 2 ==> 2
% 4.51/4.92 end
% 4.51/4.92
% 4.51/4.92 resolution: (25344) {G1,W15,D2,L3,V6,M3} { ! perp( X, Y, Z, T ), para( X,
% 4.51/4.92 Y, U, W ), ! perp( U, W, Z, T ) }.
% 4.51/4.92 parent0[1]: (8) {G0,W15,D2,L3,V6,M3} I { ! perp( X, Y, U, W ), ! perp( U, W
% 4.51/4.92 , Z, T ), para( X, Y, Z, T ) }.
% 4.51/4.92 parent1[1]: (7) {G0,W10,D2,L2,V4,M2} I { ! perp( X, Y, Z, T ), perp( Z, T,
% 4.51/4.92 X, Y ) }.
% 4.51/4.92 substitution0:
% 4.51/4.92 X := X
% 4.51/4.92 Y := Y
% 4.51/4.92 Z := U
% 4.51/4.92 T := W
% 4.51/4.92 U := Z
% 4.51/4.92 W := T
% 4.51/4.92 end
% 4.51/4.92 substitution1:
% 4.51/4.92 X := U
% 4.51/4.92 Y := W
% 4.51/4.92 Z := Z
% 4.51/4.92 T := T
% 4.51/4.92 end
% 4.51/4.92
% 4.51/4.92 subsumption: (278) {G1,W15,D2,L3,V6,M3} R(8,7) { ! perp( X, Y, Z, T ), para
% 4.51/4.92 ( X, Y, U, W ), ! perp( U, W, Z, T ) }.
% 4.51/4.92 parent0: (25344) {G1,W15,D2,L3,V6,M3} { ! perp( X, Y, Z, T ), para( X, Y,
% 4.51/4.92 U, W ), ! perp( U, W, Z, T ) }.
% 4.51/4.92 substitution0:
% 4.51/4.92 X := X
% 4.51/4.92 Y := Y
% 4.51/4.92 Z := Z
% 4.51/4.92 T := T
% 4.51/4.92 U := U
% 4.51/4.92 W := W
% 4.51/4.92 end
% 4.51/4.92 permutation0:
% 4.51/4.92 0 ==> 0
% 4.51/4.92 1 ==> 1
% 4.51/4.92 2 ==> 2
% 4.51/4.92 end
% 4.51/4.92
% 4.51/4.92 factor: (25347) {G1,W10,D2,L2,V4,M2} { ! perp( X, Y, Z, T ), para( X, Y, X
% 4.51/4.92 , Y ) }.
% 4.51/4.92 parent0[0, 2]: (278) {G1,W15,D2,L3,V6,M3} R(8,7) { ! perp( X, Y, Z, T ),
% 4.51/4.92 para( X, Y, U, W ), ! perp( U, W, Z, T ) }.
% 4.51/4.92 substitution0:
% 4.51/4.92 X := X
% 4.51/4.92 Y := Y
% 4.51/4.92 Z := Z
% 4.51/4.92 T := T
% 4.51/4.92 U := X
% 4.51/4.92 W := Y
% 4.51/4.92 end
% 4.51/4.92
% 4.51/4.92 subsumption: (290) {G2,W10,D2,L2,V4,M2} F(278) { ! perp( X, Y, Z, T ), para
% 4.51/4.92 ( X, Y, X, Y ) }.
% 4.51/4.92 parent0: (25347) {G1,W10,D2,L2,V4,M2} { ! perp( X, Y, Z, T ), para( X, Y,
% 4.51/4.92 X, Y ) }.
% 4.51/4.92 substitution0:
% 4.51/4.92 X := X
% 4.51/4.92 Y := Y
% 4.51/4.92 Z := Z
% 4.51/4.92 T := T
% 4.51/4.92 end
% 4.51/4.92 permutation0:
% 4.51/4.92 0 ==> 0
% 4.51/4.92 1 ==> 1
% 4.51/4.92 end
% 4.51/4.92
% 4.51/4.92 resolution: (25348) {G1,W4,D2,L1,V0,M1} { midp( skol23, skol26, skol27 )
% 4.51/4.92 }.
% 4.51/4.92 parent0[0]: (10) {G0,W8,D2,L2,V3,M2} I { ! midp( Z, Y, X ), midp( Z, X, Y )
% 4.51/4.92 }.
% 4.51/4.92 parent1[0]: (120) {G0,W4,D2,L1,V0,M1} I { midp( skol23, skol27, skol26 )
% 4.51/4.92 }.
% 4.51/4.92 substitution0:
% 4.51/4.92 X := skol26
% 4.51/4.92 Y := skol27
% 4.51/4.92 Z := skol23
% 4.51/4.92 end
% 4.51/4.92 substitution1:
% 4.51/4.92 end
% 4.51/4.92
% 4.51/4.92 subsumption: (319) {G1,W4,D2,L1,V0,M1} R(10,120) { midp( skol23, skol26,
% 4.51/4.92 skol27 ) }.
% 4.51/4.92 parent0: (25348) {G1,W4,D2,L1,V0,M1} { midp( skol23, skol26, skol27 ) }.
% 4.51/4.92 substitution0:
% 4.51/4.92 end
% 4.51/4.92 permutation0:
% 4.51/4.92 0 ==> 0
% 4.51/4.92 end
% 4.51/4.92
% 4.51/4.92 resolution: (25349) {G1,W4,D2,L1,V0,M1} { midp( skol24, skol22, skol20 )
% 4.51/4.92 }.
% 4.51/4.92 parent0[0]: (10) {G0,W8,D2,L2,V3,M2} I { ! midp( Z, Y, X ), midp( Z, X, Y )
% 4.51/4.92 }.
% 4.51/4.92 parent1[0]: (121) {G0,W4,D2,L1,V0,M1} I { midp( skol24, skol20, skol22 )
% 4.51/4.92 }.
% 4.51/4.92 substitution0:
% 4.51/4.92 X := skol22
% 4.51/4.92 Y := skol20
% 4.51/4.92 Z := skol24
% 4.51/4.92 end
% 4.51/4.92 substitution1:
% 4.51/4.92 end
% 4.51/4.92
% 4.51/4.92 subsumption: (320) {G1,W4,D2,L1,V0,M1} R(10,121) { midp( skol24, skol22,
% 4.51/4.92 skol20 ) }.
% 4.51/4.92 parent0: (25349) {G1,W4,D2,L1,V0,M1} { midp( skol24, skol22, skol20 ) }.
% 4.51/4.92 substitution0:
% 4.51/4.92 end
% 4.51/4.92 permutation0:
% 4.51/4.92 0 ==> 0
% 4.51/4.92 end
% 4.51/4.92
% 4.51/4.92 resolution: (25351) {G1,W10,D2,L2,V4,M2} { cyclic( X, Y, T, Z ), ! cyclic
% 4.51/4.92 ( X, Z, Y, T ) }.
% 4.51/4.92 parent0[0]: (13) {G0,W10,D2,L2,V4,M2} I { ! cyclic( X, Y, Z, T ), cyclic( X
% 4.51/4.92 , Y, T, Z ) }.
% 4.51/4.92 parent1[1]: (14) {G0,W10,D2,L2,V4,M2} I { ! cyclic( X, Y, Z, T ), cyclic( X
% 4.51/4.92 , Z, Y, T ) }.
% 4.51/4.92 substitution0:
% 4.51/4.92 X := X
% 4.51/4.92 Y := Y
% 4.51/4.92 Z := Z
% 4.51/4.92 T := T
% 4.51/4.92 end
% 4.51/4.92 substitution1:
% 4.51/4.92 X := X
% 4.51/4.92 Y := Z
% 4.51/4.92 Z := Y
% 4.51/4.92 T := T
% 4.51/4.92 end
% 4.51/4.92
% 4.51/4.92 subsumption: (349) {G1,W10,D2,L2,V4,M2} R(14,13) { ! cyclic( X, Y, Z, T ),
% 4.51/4.92 cyclic( X, Z, T, Y ) }.
% 4.51/4.92 parent0: (25351) {G1,W10,D2,L2,V4,M2} { cyclic( X, Y, T, Z ), ! cyclic( X
% 4.51/4.92 , Z, Y, T ) }.
% 4.51/4.92 substitution0:
% 4.51/4.92 X := X
% 4.51/4.92 Y := Z
% 4.51/4.92 Z := Y
% 4.51/4.92 T := T
% 4.51/4.92 end
% 4.51/4.92 permutation0:
% 4.51/4.92 0 ==> 1
% 4.51/4.92 1 ==> 0
% 4.51/4.92 end
% 4.51/4.92
% 4.51/4.92 resolution: (25353) {G1,W10,D2,L2,V4,M2} { cyclic( X, Z, Y, T ), ! cyclic
% 4.51/4.92 ( Y, X, Z, T ) }.
% 4.51/4.92 parent0[0]: (14) {G0,W10,D2,L2,V4,M2} I { ! cyclic( X, Y, Z, T ), cyclic( X
% 4.51/4.92 , Z, Y, T ) }.
% 4.51/4.92 parent1[1]: (15) {G0,W10,D2,L2,V4,M2} I { ! cyclic( X, Y, Z, T ), cyclic( Y
% 4.51/4.92 , X, Z, T ) }.
% 4.51/4.92 substitution0:
% 4.51/4.92 X := X
% 4.51/4.92 Y := Y
% 4.51/4.92 Z := Z
% 4.51/4.92 T := T
% 4.51/4.92 end
% 4.51/4.92 substitution1:
% 4.51/4.92 X := Y
% 4.51/4.92 Y := X
% 4.51/4.92 Z := Z
% 4.51/4.92 T := T
% 4.51/4.92 end
% 4.51/4.92
% 4.51/4.92 subsumption: (367) {G1,W10,D2,L2,V4,M2} R(15,14) { ! cyclic( X, Y, Z, T ),
% 4.51/4.92 cyclic( Y, Z, X, T ) }.
% 4.51/4.92 parent0: (25353) {G1,W10,D2,L2,V4,M2} { cyclic( X, Z, Y, T ), ! cyclic( Y
% 4.51/4.92 , X, Z, T ) }.
% 4.51/4.92 substitution0:
% 4.51/4.92 X := Y
% 4.51/4.92 Y := X
% 4.51/4.92 Z := Z
% 4.51/4.92 T := T
% 4.51/4.92 end
% 4.51/4.92 permutation0:
% 4.51/4.92 0 ==> 1
% 4.51/4.92 1 ==> 0
% 4.51/4.92 end
% 4.51/4.92
% 4.51/4.92 resolution: (25355) {G1,W15,D2,L3,V5,M3} { ! cyclic( X, Y, Z, T ), cyclic
% 4.51/4.92 ( Y, Z, T, U ), ! cyclic( X, Y, U, Z ) }.
% 4.51/4.92 parent0[1]: (16) {G0,W15,D2,L3,V5,M3} I { ! cyclic( U, X, Y, Z ), ! cyclic
% 4.51/4.92 ( U, X, Y, T ), cyclic( X, Y, Z, T ) }.
% 4.51/4.92 parent1[1]: (13) {G0,W10,D2,L2,V4,M2} I { ! cyclic( X, Y, Z, T ), cyclic( X
% 4.51/4.92 , Y, T, Z ) }.
% 4.51/4.92 substitution0:
% 4.51/4.92 X := Y
% 4.51/4.92 Y := Z
% 4.51/4.92 Z := T
% 4.51/4.92 T := U
% 4.51/4.92 U := X
% 4.51/4.92 end
% 4.51/4.92 substitution1:
% 4.51/4.92 X := X
% 4.51/4.92 Y := Y
% 4.51/4.92 Z := U
% 4.51/4.92 T := Z
% 4.51/4.92 end
% 4.51/4.92
% 4.51/4.92 subsumption: (398) {G1,W15,D2,L3,V5,M3} R(16,13) { ! cyclic( X, Y, Z, T ),
% 4.51/4.92 cyclic( Y, Z, T, U ), ! cyclic( X, Y, U, Z ) }.
% 4.51/4.92 parent0: (25355) {G1,W15,D2,L3,V5,M3} { ! cyclic( X, Y, Z, T ), cyclic( Y
% 4.51/4.92 , Z, T, U ), ! cyclic( X, Y, U, Z ) }.
% 4.51/4.92 substitution0:
% 4.51/4.92 X := X
% 4.51/4.92 Y := Y
% 4.51/4.92 Z := Z
% 4.51/4.92 T := T
% 4.51/4.92 U := U
% 4.51/4.92 end
% 4.51/4.92 permutation0:
% 4.51/4.92 0 ==> 0
% 4.51/4.92 1 ==> 1
% 4.51/4.92 2 ==> 2
% 4.51/4.92 end
% 4.51/4.92
% 4.51/4.92 resolution: (25357) {G1,W5,D2,L1,V0,M1} { ! perp( skol20, skol22, skol24,
% 4.51/4.92 skol23 ) }.
% 4.51/4.92 parent0[0]: (269) {G1,W5,D2,L1,V0,M1} R(7,122) { ! perp( skol20, skol22,
% 4.51/4.92 skol23, skol24 ) }.
% 4.51/4.92 parent1[1]: (6) {G0,W10,D2,L2,V4,M2} I { ! perp( X, Y, Z, T ), perp( X, Y,
% 4.51/4.92 T, Z ) }.
% 4.51/4.92 substitution0:
% 4.51/4.92 end
% 4.51/4.92 substitution1:
% 4.51/4.92 X := skol20
% 4.51/4.92 Y := skol22
% 4.51/4.92 Z := skol24
% 4.51/4.92 T := skol23
% 4.51/4.92 end
% 4.51/4.92
% 4.51/4.92 subsumption: (421) {G2,W5,D2,L1,V0,M1} R(269,6) { ! perp( skol20, skol22,
% 4.51/4.92 skol24, skol23 ) }.
% 4.51/4.92 parent0: (25357) {G1,W5,D2,L1,V0,M1} { ! perp( skol20, skol22, skol24,
% 4.51/4.92 skol23 ) }.
% 4.51/4.92 substitution0:
% 4.51/4.92 end
% 4.51/4.92 permutation0:
% 4.51/4.92 0 ==> 0
% 4.51/4.92 end
% 4.51/4.92
% 4.51/4.92 resolution: (25358) {G1,W5,D2,L1,V0,M1} { ! perp( skol24, skol23, skol20,
% 4.51/4.92 skol22 ) }.
% 4.51/4.92 parent0[0]: (421) {G2,W5,D2,L1,V0,M1} R(269,6) { ! perp( skol20, skol22,
% 4.51/4.92 skol24, skol23 ) }.
% 4.51/4.92 parent1[1]: (7) {G0,W10,D2,L2,V4,M2} I { ! perp( X, Y, Z, T ), perp( Z, T,
% 4.51/4.92 X, Y ) }.
% 4.51/4.92 substitution0:
% 4.51/4.92 end
% 4.51/4.92 substitution1:
% 4.51/4.92 X := skol24
% 4.51/4.92 Y := skol23
% 4.51/4.92 Z := skol20
% 4.51/4.92 T := skol22
% 4.51/4.92 end
% 4.51/4.92
% 4.51/4.92 subsumption: (423) {G3,W5,D2,L1,V0,M1} R(421,7) { ! perp( skol24, skol23,
% 4.51/4.92 skol20, skol22 ) }.
% 4.51/4.92 parent0: (25358) {G1,W5,D2,L1,V0,M1} { ! perp( skol24, skol23, skol20,
% 4.51/4.92 skol22 ) }.
% 4.51/4.92 substitution0:
% 4.51/4.92 end
% 4.51/4.92 permutation0:
% 4.51/4.92 0 ==> 0
% 4.51/4.92 end
% 4.51/4.92
% 4.51/4.92 resolution: (25359) {G1,W5,D2,L1,V0,M1} { ! perp( skol24, skol23, skol22,
% 4.51/4.92 skol20 ) }.
% 4.51/4.92 parent0[0]: (423) {G3,W5,D2,L1,V0,M1} R(421,7) { ! perp( skol24, skol23,
% 4.51/4.92 skol20, skol22 ) }.
% 4.51/4.92 parent1[1]: (6) {G0,W10,D2,L2,V4,M2} I { ! perp( X, Y, Z, T ), perp( X, Y,
% 4.51/4.92 T, Z ) }.
% 4.51/4.92 substitution0:
% 4.51/4.92 end
% 4.51/4.92 substitution1:
% 4.51/4.92 X := skol24
% 4.51/4.92 Y := skol23
% 4.51/4.92 Z := skol22
% 4.51/4.92 T := skol20
% 4.51/4.92 end
% 4.51/4.92
% 4.51/4.92 subsumption: (425) {G4,W5,D2,L1,V0,M1} R(423,6) { ! perp( skol24, skol23,
% 4.51/4.92 skol22, skol20 ) }.
% 4.51/4.92 parent0: (25359) {G1,W5,D2,L1,V0,M1} { ! perp( skol24, skol23, skol22,
% 4.51/4.92 skol20 ) }.
% 4.51/4.92 substitution0:
% 4.51/4.92 end
% 4.51/4.92 permutation0:
% 4.51/4.92 0 ==> 0
% 4.51/4.92 end
% 4.51/4.92
% 4.51/4.92 resolution: (25360) {G1,W10,D2,L2,V2,M2} { ! para( skol24, skol23, X, Y )
% 4.51/4.92 , ! perp( X, Y, skol22, skol20 ) }.
% 4.51/4.92 parent0[0]: (425) {G4,W5,D2,L1,V0,M1} R(423,6) { ! perp( skol24, skol23,
% 4.51/4.92 skol22, skol20 ) }.
% 4.51/4.92 parent1[2]: (9) {G0,W15,D2,L3,V6,M3} I { ! para( X, Y, U, W ), ! perp( U, W
% 4.51/4.92 , Z, T ), perp( X, Y, Z, T ) }.
% 4.51/4.92 substitution0:
% 4.51/4.92 end
% 4.51/4.92 substitution1:
% 4.51/4.92 X := skol24
% 4.51/4.92 Y := skol23
% 4.51/4.92 Z := skol22
% 4.51/4.92 T := skol20
% 4.51/4.92 U := X
% 4.51/4.92 W := Y
% 4.51/4.92 end
% 4.51/4.92
% 4.51/4.92 subsumption: (426) {G5,W10,D2,L2,V2,M2} R(425,9) { ! para( skol24, skol23,
% 4.51/4.92 X, Y ), ! perp( X, Y, skol22, skol20 ) }.
% 4.51/4.92 parent0: (25360) {G1,W10,D2,L2,V2,M2} { ! para( skol24, skol23, X, Y ), !
% 4.51/4.92 perp( X, Y, skol22, skol20 ) }.
% 4.51/4.92 substitution0:
% 4.51/4.92 X := X
% 4.51/4.92 Y := Y
% 4.51/4.92 end
% 4.51/4.92 permutation0:
% 4.51/4.92 0 ==> 0
% 4.51/4.92 1 ==> 1
% 4.51/4.92 end
% 4.51/4.92
% 4.51/4.92 resolution: (25362) {G1,W8,D2,L2,V3,M2} { coll( Y, X, X ), ! coll( X, Z, Y
% 4.51/4.92 ) }.
% 4.51/4.92 parent0[0]: (1) {G0,W8,D2,L2,V3,M2} I { ! coll( X, Y, Z ), coll( Y, X, Z )
% 4.51/4.92 }.
% 4.51/4.92 parent1[0]: (224) {G4,W8,D2,L2,V3,M2} F(211) { coll( X, Y, X ), ! coll( X,
% 4.51/4.92 Z, Y ) }.
% 4.51/4.92 substitution0:
% 4.51/4.92 X := X
% 4.51/4.92 Y := Y
% 4.51/4.92 Z := X
% 4.51/4.92 end
% 4.51/4.92 substitution1:
% 4.51/4.92 X := X
% 4.51/4.92 Y := Y
% 4.51/4.92 Z := Z
% 4.51/4.92 end
% 4.51/4.92
% 4.51/4.92 subsumption: (450) {G5,W8,D2,L2,V3,M2} R(224,1) { ! coll( X, Y, Z ), coll(
% 4.51/4.92 Z, X, X ) }.
% 4.51/4.92 parent0: (25362) {G1,W8,D2,L2,V3,M2} { coll( Y, X, X ), ! coll( X, Z, Y )
% 4.51/4.92 }.
% 4.51/4.92 substitution0:
% 4.51/4.92 X := X
% 4.51/4.92 Y := Z
% 4.51/4.92 Z := Y
% 4.51/4.92 end
% 4.51/4.92 permutation0:
% 4.51/4.92 0 ==> 1
% 4.51/4.92 1 ==> 0
% 4.51/4.92 end
% 4.51/4.92
% 4.51/4.92 resolution: (25363) {G1,W8,D2,L2,V3,M2} { coll( Z, X, X ), ! coll( Y, X, Z
% 4.51/4.92 ) }.
% 4.51/4.92 parent0[0]: (450) {G5,W8,D2,L2,V3,M2} R(224,1) { ! coll( X, Y, Z ), coll( Z
% 4.51/4.92 , X, X ) }.
% 4.51/4.92 parent1[1]: (1) {G0,W8,D2,L2,V3,M2} I { ! coll( X, Y, Z ), coll( Y, X, Z )
% 4.51/4.92 }.
% 4.51/4.92 substitution0:
% 4.51/4.92 X := X
% 4.51/4.92 Y := Y
% 4.51/4.92 Z := Z
% 4.51/4.92 end
% 4.51/4.92 substitution1:
% 4.51/4.92 X := Y
% 4.51/4.92 Y := X
% 4.51/4.92 Z := Z
% 4.51/4.92 end
% 4.51/4.92
% 4.51/4.92 subsumption: (455) {G6,W8,D2,L2,V3,M2} R(450,1) { coll( X, Y, Y ), ! coll(
% 4.51/4.92 Z, Y, X ) }.
% 4.51/4.92 parent0: (25363) {G1,W8,D2,L2,V3,M2} { coll( Z, X, X ), ! coll( Y, X, Z )
% 4.51/4.92 }.
% 4.51/4.92 substitution0:
% 4.51/4.92 X := Y
% 4.51/4.92 Y := Z
% 4.51/4.92 Z := X
% 4.51/4.92 end
% 4.51/4.92 permutation0:
% 4.51/4.92 0 ==> 0
% 4.51/4.92 1 ==> 1
% 4.51/4.92 end
% 4.51/4.92
% 4.51/4.92 resolution: (25364) {G1,W8,D2,L2,V3,M2} { coll( Z, X, X ), ! coll( X, Z, Y
% 4.51/4.92 ) }.
% 4.51/4.92 parent0[0]: (450) {G5,W8,D2,L2,V3,M2} R(224,1) { ! coll( X, Y, Z ), coll( Z
% 4.51/4.92 , X, X ) }.
% 4.51/4.92 parent1[1]: (0) {G0,W8,D2,L2,V3,M2} I { ! coll( X, Y, Z ), coll( X, Z, Y )
% 4.51/4.92 }.
% 4.51/4.92 substitution0:
% 4.51/4.92 X := X
% 4.51/4.92 Y := Y
% 4.51/4.92 Z := Z
% 4.51/4.92 end
% 4.51/4.92 substitution1:
% 4.51/4.92 X := X
% 4.51/4.92 Y := Z
% 4.51/4.92 Z := Y
% 4.51/4.92 end
% 4.51/4.92
% 4.51/4.92 subsumption: (456) {G6,W8,D2,L2,V3,M2} R(450,0) { coll( X, Y, Y ), ! coll(
% 4.51/4.92 Y, X, Z ) }.
% 4.51/4.92 parent0: (25364) {G1,W8,D2,L2,V3,M2} { coll( Z, X, X ), ! coll( X, Z, Y )
% 4.51/4.92 }.
% 4.51/4.92 substitution0:
% 4.51/4.92 X := Y
% 4.51/4.92 Y := Z
% 4.51/4.92 Z := X
% 4.51/4.92 end
% 4.51/4.92 permutation0:
% 4.51/4.92 0 ==> 0
% 4.51/4.92 1 ==> 1
% 4.51/4.92 end
% 4.51/4.92
% 4.51/4.92 resolution: (25366) {G6,W8,D2,L2,V3,M2} { coll( Y, X, X ), ! coll( Z, Y, X
% 4.51/4.92 ) }.
% 4.51/4.92 parent0[0]: (450) {G5,W8,D2,L2,V3,M2} R(224,1) { ! coll( X, Y, Z ), coll( Z
% 4.51/4.92 , X, X ) }.
% 4.51/4.92 parent1[0]: (455) {G6,W8,D2,L2,V3,M2} R(450,1) { coll( X, Y, Y ), ! coll( Z
% 4.51/4.92 , Y, X ) }.
% 4.51/4.92 substitution0:
% 4.51/4.92 X := X
% 4.51/4.92 Y := Y
% 4.51/4.92 Z := Y
% 4.51/4.92 end
% 4.51/4.92 substitution1:
% 4.51/4.92 X := X
% 4.51/4.92 Y := Y
% 4.51/4.92 Z := Z
% 4.51/4.92 end
% 4.51/4.92
% 4.51/4.92 subsumption: (457) {G7,W8,D2,L2,V3,M2} R(455,450) { ! coll( X, Y, Z ), coll
% 4.51/4.92 ( Y, Z, Z ) }.
% 4.51/4.92 parent0: (25366) {G6,W8,D2,L2,V3,M2} { coll( Y, X, X ), ! coll( Z, Y, X )
% 4.51/4.92 }.
% 4.51/4.92 substitution0:
% 4.51/4.92 X := Z
% 4.51/4.92 Y := Y
% 4.51/4.92 Z := X
% 4.51/4.92 end
% 4.51/4.92 permutation0:
% 4.51/4.92 0 ==> 1
% 4.51/4.92 1 ==> 0
% 4.51/4.92 end
% 4.51/4.92
% 4.51/4.92 resolution: (25367) {G7,W8,D2,L2,V3,M2} { coll( X, Y, Y ), ! coll( X, Y, Z
% 4.51/4.92 ) }.
% 4.51/4.92 parent0[1]: (456) {G6,W8,D2,L2,V3,M2} R(450,0) { coll( X, Y, Y ), ! coll( Y
% 4.51/4.92 , X, Z ) }.
% 4.51/4.92 parent1[0]: (456) {G6,W8,D2,L2,V3,M2} R(450,0) { coll( X, Y, Y ), ! coll( Y
% 4.51/4.92 , X, Z ) }.
% 4.51/4.92 substitution0:
% 4.51/4.92 X := X
% 4.51/4.92 Y := Y
% 4.51/4.92 Z := X
% 4.51/4.92 end
% 4.51/4.92 substitution1:
% 4.51/4.92 X := Y
% 4.51/4.92 Y := X
% 4.51/4.92 Z := Z
% 4.51/4.92 end
% 4.51/4.92
% 4.51/4.92 subsumption: (472) {G7,W8,D2,L2,V3,M2} R(456,456) { ! coll( X, Y, Z ), coll
% 4.51/4.92 ( X, Y, Y ) }.
% 4.51/4.92 parent0: (25367) {G7,W8,D2,L2,V3,M2} { coll( X, Y, Y ), ! coll( X, Y, Z )
% 4.51/4.92 }.
% 4.51/4.92 substitution0:
% 4.51/4.92 X := X
% 4.51/4.92 Y := Y
% 4.51/4.92 Z := Z
% 4.51/4.92 end
% 4.51/4.92 permutation0:
% 4.51/4.92 0 ==> 1
% 4.51/4.92 1 ==> 0
% 4.51/4.92 end
% 4.51/4.92
% 4.51/4.92 resolution: (25371) {G1,W12,D2,L3,V4,M3} { ! coll( X, Y, Z ), coll( Z, Y,
% 4.51/4.92 X ), ! coll( X, Y, T ) }.
% 4.51/4.92 parent0[1]: (2) {G0,W12,D2,L3,V4,M3} I { ! coll( X, T, Y ), ! coll( X, T, Z
% 4.51/4.92 ), coll( Y, Z, X ) }.
% 4.51/4.92 parent1[1]: (472) {G7,W8,D2,L2,V3,M2} R(456,456) { ! coll( X, Y, Z ), coll
% 4.51/4.92 ( X, Y, Y ) }.
% 4.51/4.92 substitution0:
% 4.51/4.92 X := X
% 4.51/4.92 Y := Z
% 4.51/4.92 Z := Y
% 4.51/4.92 T := Y
% 4.51/4.92 end
% 4.51/4.92 substitution1:
% 4.51/4.92 X := X
% 4.51/4.92 Y := Y
% 4.51/4.92 Z := T
% 4.51/4.92 end
% 4.51/4.92
% 4.51/4.92 subsumption: (475) {G8,W12,D2,L3,V4,M3} R(472,2) { ! coll( X, Y, Z ), !
% 4.51/4.92 coll( X, Y, T ), coll( T, Y, X ) }.
% 4.51/4.92 parent0: (25371) {G1,W12,D2,L3,V4,M3} { ! coll( X, Y, Z ), coll( Z, Y, X )
% 4.51/4.92 , ! coll( X, Y, T ) }.
% 4.51/4.92 substitution0:
% 4.51/4.92 X := X
% 4.51/4.92 Y := Y
% 4.51/4.92 Z := T
% 4.51/4.92 T := Z
% 4.51/4.92 end
% 4.51/4.92 permutation0:
% 4.51/4.92 0 ==> 1
% 4.51/4.92 1 ==> 2
% 4.51/4.92 2 ==> 0
% 4.51/4.92 end
% 4.51/4.92
% 4.51/4.92 factor: (25374) {G8,W8,D2,L2,V3,M2} { ! coll( X, Y, Z ), coll( Z, Y, X )
% 4.51/4.92 }.
% 4.51/4.92 parent0[0, 1]: (475) {G8,W12,D2,L3,V4,M3} R(472,2) { ! coll( X, Y, Z ), !
% 4.51/4.92 coll( X, Y, T ), coll( T, Y, X ) }.
% 4.51/4.92 substitution0:
% 4.51/4.92 X := X
% 4.51/4.92 Y := Y
% 4.51/4.92 Z := Z
% 4.51/4.92 T := Z
% 4.51/4.92 end
% 4.51/4.92
% 4.51/4.92 subsumption: (476) {G9,W8,D2,L2,V3,M2} F(475) { ! coll( X, Y, Z ), coll( Z
% 4.51/4.92 , Y, X ) }.
% 4.51/4.92 parent0: (25374) {G8,W8,D2,L2,V3,M2} { ! coll( X, Y, Z ), coll( Z, Y, X )
% 4.51/4.92 }.
% 4.51/4.92 substitution0:
% 4.51/4.92 X := X
% 4.51/4.92 Y := Y
% 4.51/4.92 Z := Z
% 4.51/4.92 end
% 4.51/4.92 permutation0:
% 4.51/4.92 0 ==> 0
% 4.51/4.92 1 ==> 1
% 4.51/4.92 end
% 4.51/4.92
% 4.51/4.92 resolution: (25375) {G8,W8,D2,L2,V3,M2} { coll( Y, Y, X ), ! coll( Z, X, Y
% 4.51/4.92 ) }.
% 4.51/4.92 parent0[0]: (476) {G9,W8,D2,L2,V3,M2} F(475) { ! coll( X, Y, Z ), coll( Z,
% 4.51/4.92 Y, X ) }.
% 4.51/4.92 parent1[1]: (457) {G7,W8,D2,L2,V3,M2} R(455,450) { ! coll( X, Y, Z ), coll
% 4.51/4.92 ( Y, Z, Z ) }.
% 4.51/4.92 substitution0:
% 4.51/4.92 X := X
% 4.51/4.92 Y := Y
% 4.51/4.92 Z := Y
% 4.51/4.92 end
% 4.51/4.92 substitution1:
% 4.51/4.92 X := Z
% 4.51/4.92 Y := X
% 4.51/4.92 Z := Y
% 4.51/4.92 end
% 4.51/4.92
% 4.51/4.92 subsumption: (479) {G10,W8,D2,L2,V3,M2} R(476,457) { coll( X, X, Y ), !
% 4.51/4.92 coll( Z, Y, X ) }.
% 4.51/4.92 parent0: (25375) {G8,W8,D2,L2,V3,M2} { coll( Y, Y, X ), ! coll( Z, X, Y )
% 4.51/4.92 }.
% 4.51/4.92 substitution0:
% 4.51/4.92 X := Y
% 4.51/4.92 Y := X
% 4.51/4.92 Z := Z
% 4.51/4.92 end
% 4.51/4.92 permutation0:
% 4.51/4.92 0 ==> 0
% 4.51/4.92 1 ==> 1
% 4.51/4.92 end
% 4.51/4.92
% 4.51/4.92 resolution: (25376) {G7,W8,D2,L2,V3,M2} { coll( Y, Y, X ), ! coll( Z, Y, X
% 4.51/4.92 ) }.
% 4.51/4.92 parent0[0]: (476) {G9,W8,D2,L2,V3,M2} F(475) { ! coll( X, Y, Z ), coll( Z,
% 4.51/4.92 Y, X ) }.
% 4.51/4.92 parent1[0]: (455) {G6,W8,D2,L2,V3,M2} R(450,1) { coll( X, Y, Y ), ! coll( Z
% 4.51/4.92 , Y, X ) }.
% 4.51/4.92 substitution0:
% 4.51/4.92 X := X
% 4.51/4.92 Y := Y
% 4.51/4.92 Z := Y
% 4.51/4.92 end
% 4.51/4.92 substitution1:
% 4.51/4.92 X := X
% 4.51/4.92 Y := Y
% 4.51/4.92 Z := Z
% 4.51/4.92 end
% 4.51/4.92
% 4.51/4.92 subsumption: (480) {G10,W8,D2,L2,V3,M2} R(476,455) { coll( X, X, Y ), !
% 4.51/4.92 coll( Z, X, Y ) }.
% 4.51/4.92 parent0: (25376) {G7,W8,D2,L2,V3,M2} { coll( Y, Y, X ), ! coll( Z, Y, X )
% 4.51/4.92 }.
% 4.51/4.92 substitution0:
% 4.51/4.92 X := Y
% 4.51/4.92 Y := X
% 4.51/4.92 Z := Z
% 4.51/4.92 end
% 4.51/4.92 permutation0:
% 4.51/4.92 0 ==> 0
% 4.51/4.92 1 ==> 1
% 4.51/4.92 end
% 4.51/4.92
% 4.51/4.92 resolution: (25377) {G1,W8,D2,L2,V3,M2} { coll( X, Y, Z ), ! midp( Y, Z, X
% 4.51/4.92 ) }.
% 4.51/4.92 parent0[1]: (164) {G1,W8,D2,L2,V3,M2} R(1,0) { coll( X, Y, Z ), ! coll( Y,
% 4.51/4.92 Z, X ) }.
% 4.51/4.92 parent1[1]: (69) {G0,W8,D2,L2,V3,M2} I { ! midp( X, Y, Z ), coll( X, Y, Z )
% 4.51/4.92 }.
% 4.51/4.92 substitution0:
% 4.51/4.92 X := X
% 4.51/4.92 Y := Y
% 4.51/4.92 Z := Z
% 4.51/4.92 end
% 4.51/4.92 substitution1:
% 4.51/4.92 X := Y
% 4.51/4.92 Y := Z
% 4.51/4.92 Z := X
% 4.51/4.92 end
% 4.51/4.92
% 4.51/4.92 subsumption: (534) {G2,W8,D2,L2,V3,M2} R(69,164) { ! midp( X, Y, Z ), coll
% 4.51/4.92 ( Z, X, Y ) }.
% 4.51/4.92 parent0: (25377) {G1,W8,D2,L2,V3,M2} { coll( X, Y, Z ), ! midp( Y, Z, X )
% 4.51/4.92 }.
% 4.51/4.92 substitution0:
% 4.51/4.92 X := Z
% 4.51/4.92 Y := X
% 4.51/4.92 Z := Y
% 4.51/4.92 end
% 4.51/4.92 permutation0:
% 4.51/4.92 0 ==> 1
% 4.51/4.92 1 ==> 0
% 4.51/4.92 end
% 4.51/4.92
% 4.51/4.92 resolution: (25378) {G1,W8,D2,L2,V3,M2} { coll( X, X, Y ), ! midp( Z, X, Y
% 4.51/4.92 ) }.
% 4.51/4.92 parent0[1]: (480) {G10,W8,D2,L2,V3,M2} R(476,455) { coll( X, X, Y ), ! coll
% 4.51/4.92 ( Z, X, Y ) }.
% 4.51/4.92 parent1[1]: (69) {G0,W8,D2,L2,V3,M2} I { ! midp( X, Y, Z ), coll( X, Y, Z )
% 4.51/4.92 }.
% 4.51/4.92 substitution0:
% 4.51/4.92 X := X
% 4.51/4.92 Y := Y
% 4.51/4.92 Z := Z
% 4.51/4.92 end
% 4.51/4.92 substitution1:
% 4.51/4.92 X := Z
% 4.51/4.92 Y := X
% 4.51/4.92 Z := Y
% 4.51/4.92 end
% 4.51/4.92
% 4.51/4.92 subsumption: (541) {G11,W8,D2,L2,V3,M2} R(69,480) { ! midp( X, Y, Z ), coll
% 4.51/4.92 ( Y, Y, Z ) }.
% 4.51/4.92 parent0: (25378) {G1,W8,D2,L2,V3,M2} { coll( X, X, Y ), ! midp( Z, X, Y )
% 4.51/4.92 }.
% 4.51/4.92 substitution0:
% 4.51/4.92 X := Y
% 4.51/4.92 Y := Z
% 4.51/4.92 Z := X
% 4.51/4.92 end
% 4.51/4.92 permutation0:
% 4.51/4.92 0 ==> 1
% 4.51/4.92 1 ==> 0
% 4.51/4.92 end
% 4.51/4.92
% 4.51/4.92 resolution: (25379) {G1,W4,D2,L1,V0,M1} { coll( skol24, skol22, skol20 )
% 4.51/4.92 }.
% 4.51/4.92 parent0[0]: (69) {G0,W8,D2,L2,V3,M2} I { ! midp( X, Y, Z ), coll( X, Y, Z )
% 4.51/4.92 }.
% 4.51/4.92 parent1[0]: (320) {G1,W4,D2,L1,V0,M1} R(10,121) { midp( skol24, skol22,
% 4.51/4.92 skol20 ) }.
% 4.51/4.92 substitution0:
% 4.51/4.92 X := skol24
% 4.51/4.92 Y := skol22
% 4.51/4.92 Z := skol20
% 4.51/4.92 end
% 4.51/4.92 substitution1:
% 4.51/4.92 end
% 4.51/4.92
% 4.51/4.92 subsumption: (555) {G2,W4,D2,L1,V0,M1} R(69,320) { coll( skol24, skol22,
% 4.51/4.92 skol20 ) }.
% 4.51/4.92 parent0: (25379) {G1,W4,D2,L1,V0,M1} { coll( skol24, skol22, skol20 ) }.
% 4.51/4.92 substitution0:
% 4.51/4.92 end
% 4.51/4.92 permutation0:
% 4.51/4.92 0 ==> 0
% 4.51/4.92 end
% 4.51/4.92
% 4.51/4.92 resolution: (25380) {G1,W4,D2,L1,V0,M1} { coll( skol24, skol20, skol22 )
% 4.51/4.92 }.
% 4.51/4.92 parent0[0]: (69) {G0,W8,D2,L2,V3,M2} I { ! midp( X, Y, Z ), coll( X, Y, Z )
% 4.51/4.92 }.
% 4.51/4.92 parent1[0]: (121) {G0,W4,D2,L1,V0,M1} I { midp( skol24, skol20, skol22 )
% 4.51/4.92 }.
% 4.51/4.92 substitution0:
% 4.51/4.92 X := skol24
% 4.51/4.92 Y := skol20
% 4.51/4.92 Z := skol22
% 4.51/4.92 end
% 4.51/4.92 substitution1:
% 4.51/4.92 end
% 4.51/4.92
% 4.51/4.92 subsumption: (563) {G1,W4,D2,L1,V0,M1} R(69,121) { coll( skol24, skol20,
% 4.51/4.92 skol22 ) }.
% 4.51/4.92 parent0: (25380) {G1,W4,D2,L1,V0,M1} { coll( skol24, skol20, skol22 ) }.
% 4.51/4.92 substitution0:
% 4.51/4.92 end
% 4.51/4.92 permutation0:
% 4.51/4.92 0 ==> 0
% 4.51/4.92 end
% 4.51/4.92
% 4.51/4.92 resolution: (25381) {G3,W4,D2,L1,V0,M1} { coll( skol20, skol20, skol22 )
% 4.51/4.92 }.
% 4.51/4.92 parent0[1]: (479) {G10,W8,D2,L2,V3,M2} R(476,457) { coll( X, X, Y ), ! coll
% 4.51/4.92 ( Z, Y, X ) }.
% 4.51/4.92 parent1[0]: (555) {G2,W4,D2,L1,V0,M1} R(69,320) { coll( skol24, skol22,
% 4.51/4.92 skol20 ) }.
% 4.51/4.92 substitution0:
% 4.51/4.92 X := skol20
% 4.51/4.92 Y := skol22
% 4.51/4.92 Z := skol24
% 4.51/4.92 end
% 4.51/4.92 substitution1:
% 4.51/4.92 end
% 4.51/4.92
% 4.51/4.92 subsumption: (573) {G11,W4,D2,L1,V0,M1} R(555,479) { coll( skol20, skol20,
% 4.51/4.92 skol22 ) }.
% 4.51/4.92 parent0: (25381) {G3,W4,D2,L1,V0,M1} { coll( skol20, skol20, skol22 ) }.
% 4.51/4.92 substitution0:
% 4.51/4.92 end
% 4.51/4.92 permutation0:
% 4.51/4.92 0 ==> 0
% 4.51/4.92 end
% 4.51/4.92
% 4.51/4.92 resolution: (25382) {G1,W8,D2,L2,V1,M2} { ! coll( skol24, skol20, X ),
% 4.51/4.92 coll( skol22, X, skol24 ) }.
% 4.51/4.92 parent0[0]: (2) {G0,W12,D2,L3,V4,M3} I { ! coll( X, T, Y ), ! coll( X, T, Z
% 4.51/4.92 ), coll( Y, Z, X ) }.
% 4.51/4.92 parent1[0]: (563) {G1,W4,D2,L1,V0,M1} R(69,121) { coll( skol24, skol20,
% 4.51/4.92 skol22 ) }.
% 4.51/4.92 substitution0:
% 4.51/4.92 X := skol24
% 4.51/4.92 Y := skol22
% 4.51/4.92 Z := X
% 4.51/4.92 T := skol20
% 4.51/4.92 end
% 4.51/4.92 substitution1:
% 4.51/4.92 end
% 4.51/4.92
% 4.51/4.92 subsumption: (716) {G2,W8,D2,L2,V1,M2} R(563,2) { ! coll( skol24, skol20, X
% 4.51/4.92 ), coll( skol22, X, skol24 ) }.
% 4.51/4.92 parent0: (25382) {G1,W8,D2,L2,V1,M2} { ! coll( skol24, skol20, X ), coll(
% 4.51/4.92 skol22, X, skol24 ) }.
% 4.51/4.92 substitution0:
% 4.51/4.92 X := X
% 4.51/4.92 end
% 4.51/4.92 permutation0:
% 4.51/4.92 0 ==> 0
% 4.51/4.92 1 ==> 1
% 4.51/4.92 end
% 4.51/4.92
% 4.51/4.92 resolution: (25384) {G1,W14,D2,L3,V3,M3} { ! coll( X, X, Z ), cyclic( Y, Z
% 4.51/4.92 , X, X ), ! para( X, Y, X, Y ) }.
% 4.51/4.92 parent0[0]: (42) {G0,W18,D2,L3,V4,M3} I { ! eqangle( Z, X, Z, Y, T, X, T, Y
% 4.51/4.92 ), ! coll( Z, T, Y ), cyclic( X, Y, Z, T ) }.
% 4.51/4.92 parent1[1]: (39) {G0,W14,D2,L2,V6,M2} I { ! para( X, Y, Z, T ), eqangle( X
% 4.51/4.92 , Y, U, W, Z, T, U, W ) }.
% 4.51/4.92 substitution0:
% 4.51/4.92 X := Y
% 4.51/4.92 Y := Z
% 4.51/4.92 Z := X
% 4.51/4.92 T := X
% 4.51/4.92 end
% 4.51/4.92 substitution1:
% 4.51/4.92 X := X
% 4.51/4.92 Y := Y
% 4.51/4.92 Z := X
% 4.51/4.92 T := Y
% 4.51/4.92 U := X
% 4.51/4.92 W := Z
% 4.51/4.92 end
% 4.51/4.92
% 4.51/4.92 subsumption: (784) {G1,W14,D2,L3,V3,M3} R(42,39) { ! coll( X, X, Y ),
% 4.51/4.92 cyclic( Z, Y, X, X ), ! para( X, Z, X, Z ) }.
% 4.51/4.92 parent0: (25384) {G1,W14,D2,L3,V3,M3} { ! coll( X, X, Z ), cyclic( Y, Z, X
% 4.51/4.92 , X ), ! para( X, Y, X, Y ) }.
% 4.51/4.92 substitution0:
% 4.51/4.92 X := X
% 4.51/4.92 Y := Z
% 4.51/4.92 Z := Y
% 4.51/4.92 end
% 4.51/4.92 permutation0:
% 4.51/4.92 0 ==> 0
% 4.51/4.92 1 ==> 1
% 4.51/4.92 2 ==> 2
% 4.51/4.92 end
% 4.51/4.92
% 4.51/4.92 resolution: (25385) {G1,W25,D2,L5,V4,M5} { ! cyclic( X, Y, Z, X ), !
% 4.51/4.92 cyclic( X, Y, Z, Y ), ! cyclic( X, Y, Z, T ), cong( X, Y, X, Y ), !
% 4.51/4.92 cyclic( X, Y, Z, T ) }.
% 4.51/4.92 parent0[3]: (43) {G0,W29,D2,L5,V6,M5} I { ! cyclic( X, Y, U, Z ), ! cyclic
% 4.51/4.92 ( X, Y, U, T ), ! cyclic( X, Y, U, W ), ! eqangle( U, X, U, Y, W, Z, W, T
% 4.51/4.92 ), cong( X, Y, Z, T ) }.
% 4.51/4.92 parent1[1]: (40) {G0,W14,D2,L2,V4,M2} I { ! cyclic( X, Y, Z, T ), eqangle(
% 4.51/4.92 Z, X, Z, Y, T, X, T, Y ) }.
% 4.51/4.92 substitution0:
% 4.51/4.92 X := X
% 4.51/4.92 Y := Y
% 4.51/4.92 Z := X
% 4.51/4.92 T := Y
% 4.51/4.92 U := Z
% 4.51/4.92 W := T
% 4.51/4.92 end
% 4.51/4.92 substitution1:
% 4.51/4.92 X := X
% 4.51/4.92 Y := Y
% 4.51/4.92 Z := Z
% 4.51/4.92 T := T
% 4.51/4.92 end
% 4.51/4.92
% 4.51/4.92 factor: (25387) {G1,W20,D2,L4,V3,M4} { ! cyclic( X, Y, Z, X ), ! cyclic( X
% 4.51/4.92 , Y, Z, Y ), cong( X, Y, X, Y ), ! cyclic( X, Y, Z, X ) }.
% 4.51/4.92 parent0[0, 2]: (25385) {G1,W25,D2,L5,V4,M5} { ! cyclic( X, Y, Z, X ), !
% 4.51/4.92 cyclic( X, Y, Z, Y ), ! cyclic( X, Y, Z, T ), cong( X, Y, X, Y ), !
% 4.51/4.92 cyclic( X, Y, Z, T ) }.
% 4.51/4.92 substitution0:
% 4.51/4.92 X := X
% 4.51/4.92 Y := Y
% 4.51/4.92 Z := Z
% 4.51/4.92 T := X
% 4.51/4.92 end
% 4.51/4.92
% 4.51/4.92 subsumption: (909) {G1,W20,D2,L4,V4,M4} R(43,40);f { ! cyclic( X, Y, Z, X )
% 4.51/4.92 , ! cyclic( X, Y, Z, Y ), ! cyclic( X, Y, Z, T ), cong( X, Y, X, Y ) }.
% 4.51/4.92 parent0: (25387) {G1,W20,D2,L4,V3,M4} { ! cyclic( X, Y, Z, X ), ! cyclic(
% 4.51/4.92 X, Y, Z, Y ), cong( X, Y, X, Y ), ! cyclic( X, Y, Z, X ) }.
% 4.51/4.92 substitution0:
% 4.51/4.92 X := X
% 4.51/4.92 Y := Y
% 4.51/4.92 Z := Z
% 4.51/4.92 end
% 4.51/4.92 permutation0:
% 4.51/4.92 0 ==> 0
% 4.51/4.92 1 ==> 1
% 4.51/4.92 2 ==> 3
% 4.51/4.92 3 ==> 0
% 4.51/4.92 end
% 4.51/4.92
% 4.51/4.92 factor: (25392) {G1,W15,D2,L3,V3,M3} { ! cyclic( X, Y, Z, X ), ! cyclic( X
% 4.51/4.92 , Y, Z, Y ), cong( X, Y, X, Y ) }.
% 4.51/4.92 parent0[0, 2]: (909) {G1,W20,D2,L4,V4,M4} R(43,40);f { ! cyclic( X, Y, Z, X
% 4.51/4.92 ), ! cyclic( X, Y, Z, Y ), ! cyclic( X, Y, Z, T ), cong( X, Y, X, Y )
% 4.51/4.92 }.
% 4.51/4.92 substitution0:
% 4.51/4.92 X := X
% 4.51/4.92 Y := Y
% 4.51/4.92 Z := Z
% 4.51/4.92 T := X
% 4.51/4.92 end
% 4.51/4.92
% 4.51/4.92 subsumption: (941) {G2,W15,D2,L3,V3,M3} F(909) { ! cyclic( X, Y, Z, X ), !
% 4.51/4.92 cyclic( X, Y, Z, Y ), cong( X, Y, X, Y ) }.
% 4.51/4.92 parent0: (25392) {G1,W15,D2,L3,V3,M3} { ! cyclic( X, Y, Z, X ), ! cyclic(
% 4.51/4.92 X, Y, Z, Y ), cong( X, Y, X, Y ) }.
% 4.51/4.92 substitution0:
% 4.51/4.92 X := X
% 4.51/4.92 Y := Y
% 4.51/4.92 Z := Z
% 4.51/4.92 end
% 4.51/4.92 permutation0:
% 4.51/4.92 0 ==> 0
% 4.51/4.92 1 ==> 1
% 4.51/4.92 2 ==> 2
% 4.51/4.92 end
% 4.51/4.92
% 4.51/4.92 resolution: (25394) {G2,W8,D2,L2,V1,M2} { coll( skol22, X, skol24 ), !
% 4.51/4.92 coll( X, skol24, skol20 ) }.
% 4.51/4.92 parent0[0]: (716) {G2,W8,D2,L2,V1,M2} R(563,2) { ! coll( skol24, skol20, X
% 4.51/4.92 ), coll( skol22, X, skol24 ) }.
% 4.51/4.92 parent1[1]: (165) {G1,W8,D2,L2,V3,M2} R(1,0) { ! coll( X, Y, Z ), coll( Y,
% 4.51/4.92 Z, X ) }.
% 4.51/4.92 substitution0:
% 4.51/4.92 X := X
% 4.51/4.92 end
% 4.51/4.92 substitution1:
% 4.51/4.92 X := X
% 4.51/4.92 Y := skol24
% 4.51/4.92 Z := skol20
% 4.51/4.92 end
% 4.51/4.92
% 4.51/4.92 subsumption: (974) {G3,W8,D2,L2,V1,M2} R(716,165) { coll( skol22, X, skol24
% 4.51/4.92 ), ! coll( X, skol24, skol20 ) }.
% 4.51/4.92 parent0: (25394) {G2,W8,D2,L2,V1,M2} { coll( skol22, X, skol24 ), ! coll(
% 4.51/4.92 X, skol24, skol20 ) }.
% 4.51/4.92 substitution0:
% 4.51/4.92 X := X
% 4.51/4.92 end
% 4.51/4.92 permutation0:
% 4.51/4.92 0 ==> 0
% 4.51/4.92 1 ==> 1
% 4.51/4.92 end
% 4.51/4.92
% 4.51/4.92 resolution: (25396) {G2,W8,D2,L2,V1,M2} { coll( X, skol24, skol22 ), !
% 4.51/4.92 coll( X, skol24, skol20 ) }.
% 4.51/4.92 parent0[0]: (165) {G1,W8,D2,L2,V3,M2} R(1,0) { ! coll( X, Y, Z ), coll( Y,
% 4.51/4.92 Z, X ) }.
% 4.51/4.92 parent1[0]: (974) {G3,W8,D2,L2,V1,M2} R(716,165) { coll( skol22, X, skol24
% 4.51/4.92 ), ! coll( X, skol24, skol20 ) }.
% 4.51/4.92 substitution0:
% 4.51/4.92 X := skol22
% 4.51/4.92 Y := X
% 4.51/4.92 Z := skol24
% 4.51/4.92 end
% 4.51/4.92 substitution1:
% 4.51/4.92 X := X
% 4.51/4.92 end
% 4.51/4.92
% 4.51/4.92 subsumption: (1852) {G4,W8,D2,L2,V1,M2} R(974,165) { ! coll( X, skol24,
% 4.51/4.92 skol20 ), coll( X, skol24, skol22 ) }.
% 4.51/4.92 parent0: (25396) {G2,W8,D2,L2,V1,M2} { coll( X, skol24, skol22 ), ! coll(
% 4.51/4.92 X, skol24, skol20 ) }.
% 4.51/4.92 substitution0:
% 4.51/4.92 X := X
% 4.51/4.92 end
% 4.51/4.92 permutation0:
% 4.51/4.92 0 ==> 1
% 4.51/4.92 1 ==> 0
% 4.51/4.92 end
% 4.51/4.92
% 4.51/4.92 resolution: (25399) {G1,W12,D2,L3,V2,M3} { ! coll( X, skol24, Y ), coll(
% 4.51/4.92 skol22, Y, X ), ! coll( X, skol24, skol20 ) }.
% 4.51/4.92 parent0[0]: (2) {G0,W12,D2,L3,V4,M3} I { ! coll( X, T, Y ), ! coll( X, T, Z
% 4.51/4.92 ), coll( Y, Z, X ) }.
% 4.51/4.92 parent1[1]: (1852) {G4,W8,D2,L2,V1,M2} R(974,165) { ! coll( X, skol24,
% 4.51/4.92 skol20 ), coll( X, skol24, skol22 ) }.
% 4.51/4.92 substitution0:
% 4.51/4.92 X := X
% 4.51/4.92 Y := skol22
% 4.51/4.92 Z := Y
% 4.51/4.92 T := skol24
% 4.51/4.92 end
% 4.51/4.92 substitution1:
% 4.51/4.92 X := X
% 4.51/4.92 end
% 4.51/4.92
% 4.51/4.92 subsumption: (1870) {G5,W12,D2,L3,V2,M3} R(1852,2) { ! coll( X, skol24,
% 4.51/4.92 skol20 ), ! coll( X, skol24, Y ), coll( skol22, Y, X ) }.
% 4.51/4.92 parent0: (25399) {G1,W12,D2,L3,V2,M3} { ! coll( X, skol24, Y ), coll(
% 4.51/4.92 skol22, Y, X ), ! coll( X, skol24, skol20 ) }.
% 4.51/4.92 substitution0:
% 4.51/4.92 X := X
% 4.51/4.92 Y := Y
% 4.51/4.92 end
% 4.51/4.92 permutation0:
% 4.51/4.92 0 ==> 1
% 4.51/4.92 1 ==> 2
% 4.51/4.92 2 ==> 0
% 4.51/4.92 end
% 4.51/4.92
% 4.51/4.92 factor: (25403) {G5,W8,D2,L2,V1,M2} { ! coll( X, skol24, skol20 ), coll(
% 4.51/4.92 skol22, skol20, X ) }.
% 4.51/4.92 parent0[0, 1]: (1870) {G5,W12,D2,L3,V2,M3} R(1852,2) { ! coll( X, skol24,
% 4.51/4.92 skol20 ), ! coll( X, skol24, Y ), coll( skol22, Y, X ) }.
% 4.51/4.92 substitution0:
% 4.51/4.92 X := X
% 4.51/4.92 Y := skol20
% 4.51/4.92 end
% 4.51/4.92
% 4.51/4.92 subsumption: (1875) {G6,W8,D2,L2,V1,M2} F(1870) { ! coll( X, skol24, skol20
% 4.51/4.92 ), coll( skol22, skol20, X ) }.
% 4.51/4.92 parent0: (25403) {G5,W8,D2,L2,V1,M2} { ! coll( X, skol24, skol20 ), coll(
% 4.51/4.92 skol22, skol20, X ) }.
% 4.51/4.92 substitution0:
% 4.51/4.92 X := X
% 4.51/4.92 end
% 4.51/4.92 permutation0:
% 4.51/4.92 0 ==> 0
% 4.51/4.92 1 ==> 1
% 4.51/4.92 end
% 4.51/4.92
% 4.51/4.92 resolution: (25404) {G1,W5,D2,L1,V0,M1} { cong( skol23, skol26, skol23,
% 4.51/4.92 skol27 ) }.
% 4.51/4.92 parent0[0]: (68) {G0,W9,D2,L2,V3,M2} I { ! midp( X, Y, Z ), cong( X, Y, X,
% 4.51/4.92 Z ) }.
% 4.51/4.92 parent1[0]: (319) {G1,W4,D2,L1,V0,M1} R(10,120) { midp( skol23, skol26,
% 4.51/4.92 skol27 ) }.
% 4.51/4.92 substitution0:
% 4.51/4.92 X := skol23
% 4.51/4.92 Y := skol26
% 4.51/4.92 Z := skol27
% 4.51/4.92 end
% 4.51/4.92 substitution1:
% 4.51/4.92 end
% 4.51/4.92
% 4.51/4.92 subsumption: (2429) {G2,W5,D2,L1,V0,M1} R(68,319) { cong( skol23, skol26,
% 4.51/4.92 skol23, skol27 ) }.
% 4.51/4.92 parent0: (25404) {G1,W5,D2,L1,V0,M1} { cong( skol23, skol26, skol23,
% 4.51/4.92 skol27 ) }.
% 4.51/4.92 substitution0:
% 4.51/4.92 end
% 4.51/4.92 permutation0:
% 4.51/4.92 0 ==> 0
% 4.51/4.92 end
% 4.51/4.92
% 4.51/4.92 resolution: (25405) {G1,W5,D2,L1,V0,M1} { cong( skol24, skol20, skol24,
% 4.51/4.92 skol22 ) }.
% 4.51/4.92 parent0[0]: (68) {G0,W9,D2,L2,V3,M2} I { ! midp( X, Y, Z ), cong( X, Y, X,
% 4.51/4.92 Z ) }.
% 4.51/4.92 parent1[0]: (121) {G0,W4,D2,L1,V0,M1} I { midp( skol24, skol20, skol22 )
% 4.51/4.92 }.
% 4.51/4.92 substitution0:
% 4.51/4.92 X := skol24
% 4.51/4.92 Y := skol20
% 4.51/4.92 Z := skol22
% 4.51/4.92 end
% 4.51/4.92 substitution1:
% 4.51/4.92 end
% 4.51/4.92
% 4.51/4.92 subsumption: (2431) {G1,W5,D2,L1,V0,M1} R(68,121) { cong( skol24, skol20,
% 4.51/4.92 skol24, skol22 ) }.
% 4.51/4.92 parent0: (25405) {G1,W5,D2,L1,V0,M1} { cong( skol24, skol20, skol24,
% 4.51/4.92 skol22 ) }.
% 4.51/4.92 substitution0:
% 4.51/4.92 end
% 4.51/4.92 permutation0:
% 4.51/4.92 0 ==> 0
% 4.51/4.92 end
% 4.51/4.92
% 4.51/4.92 resolution: (25406) {G3,W8,D2,L2,V1,M2} { coll( skol22, skol20, X ), !
% 4.51/4.92 midp( skol24, skol20, X ) }.
% 4.51/4.92 parent0[0]: (1875) {G6,W8,D2,L2,V1,M2} F(1870) { ! coll( X, skol24, skol20
% 4.51/4.92 ), coll( skol22, skol20, X ) }.
% 4.51/4.92 parent1[1]: (534) {G2,W8,D2,L2,V3,M2} R(69,164) { ! midp( X, Y, Z ), coll(
% 4.51/4.92 Z, X, Y ) }.
% 4.51/4.92 substitution0:
% 4.51/4.92 X := X
% 4.51/4.92 end
% 4.51/4.92 substitution1:
% 4.51/4.92 X := skol24
% 4.51/4.92 Y := skol20
% 4.51/4.92 Z := X
% 4.51/4.92 end
% 4.51/4.92
% 4.51/4.92 subsumption: (2995) {G7,W8,D2,L2,V1,M2} R(1875,534) { coll( skol22, skol20
% 4.51/4.92 , X ), ! midp( skol24, skol20, X ) }.
% 4.51/4.92 parent0: (25406) {G3,W8,D2,L2,V1,M2} { coll( skol22, skol20, X ), ! midp(
% 4.51/4.92 skol24, skol20, X ) }.
% 4.51/4.92 substitution0:
% 4.51/4.92 X := X
% 4.51/4.92 end
% 4.51/4.92 permutation0:
% 4.51/4.92 0 ==> 0
% 4.51/4.92 1 ==> 1
% 4.51/4.92 end
% 4.51/4.92
% 4.51/4.92 resolution: (25407) {G2,W5,D2,L1,V0,M1} { circle( skol24, skol20, skol22,
% 4.51/4.92 skol22 ) }.
% 4.51/4.92 parent0[0]: (125) {G1,W10,D2,L2,V3,M2} F(11) { ! cong( X, Y, X, Z ), circle
% 4.51/4.92 ( X, Y, Z, Z ) }.
% 4.51/4.92 parent1[0]: (2431) {G1,W5,D2,L1,V0,M1} R(68,121) { cong( skol24, skol20,
% 4.51/4.92 skol24, skol22 ) }.
% 4.51/4.92 substitution0:
% 4.51/4.92 X := skol24
% 4.51/4.92 Y := skol20
% 4.51/4.92 Z := skol22
% 4.51/4.92 end
% 4.51/4.92 substitution1:
% 4.51/4.92 end
% 4.51/4.92
% 4.51/4.92 subsumption: (7086) {G2,W5,D2,L1,V0,M1} R(125,2431) { circle( skol24,
% 4.51/4.92 skol20, skol22, skol22 ) }.
% 4.51/4.92 parent0: (25407) {G2,W5,D2,L1,V0,M1} { circle( skol24, skol20, skol22,
% 4.51/4.92 skol22 ) }.
% 4.51/4.92 substitution0:
% 4.51/4.92 end
% 4.51/4.92 permutation0:
% 4.51/4.92 0 ==> 0
% 4.51/4.92 end
% 4.51/4.92
% 4.51/4.92 resolution: (25408) {G2,W5,D2,L1,V0,M1} { circle( skol23, skol26, skol27,
% 4.51/4.92 skol27 ) }.
% 4.51/4.92 parent0[0]: (125) {G1,W10,D2,L2,V3,M2} F(11) { ! cong( X, Y, X, Z ), circle
% 4.51/4.92 ( X, Y, Z, Z ) }.
% 4.51/4.92 parent1[0]: (2429) {G2,W5,D2,L1,V0,M1} R(68,319) { cong( skol23, skol26,
% 4.51/4.92 skol23, skol27 ) }.
% 4.51/4.92 substitution0:
% 4.51/4.92 X := skol23
% 4.51/4.92 Y := skol26
% 4.51/4.92 Z := skol27
% 4.51/4.92 end
% 4.51/4.92 substitution1:
% 4.51/4.92 end
% 4.51/4.92
% 4.51/4.92 subsumption: (7088) {G3,W5,D2,L1,V0,M1} R(125,2429) { circle( skol23,
% 4.51/4.92 skol26, skol27, skol27 ) }.
% 4.51/4.92 parent0: (25408) {G2,W5,D2,L1,V0,M1} { circle( skol23, skol26, skol27,
% 4.51/4.92 skol27 ) }.
% 4.51/4.92 substitution0:
% 4.51/4.92 end
% 4.51/4.92 permutation0:
% 4.51/4.92 0 ==> 0
% 4.51/4.92 end
% 4.51/4.92
% 4.51/4.92 resolution: (25409) {G1,W9,D2,L2,V0,M2} { ! coll( skol24, skol20, skol22 )
% 4.51/4.92 , perp( skol20, skol22, skol22, skol22 ) }.
% 4.51/4.92 parent0[0]: (53) {G0,W14,D2,L3,V4,M3} I { ! circle( T, X, Y, Z ), ! coll( T
% 4.51/4.92 , X, Z ), perp( X, Y, Y, Z ) }.
% 4.51/4.92 parent1[0]: (7086) {G2,W5,D2,L1,V0,M1} R(125,2431) { circle( skol24, skol20
% 4.51/4.92 , skol22, skol22 ) }.
% 4.51/4.92 substitution0:
% 4.51/4.92 X := skol20
% 4.51/4.92 Y := skol22
% 4.51/4.92 Z := skol22
% 4.51/4.92 T := skol24
% 4.51/4.92 end
% 4.51/4.92 substitution1:
% 4.51/4.92 end
% 4.51/4.92
% 4.51/4.92 resolution: (25410) {G2,W5,D2,L1,V0,M1} { perp( skol20, skol22, skol22,
% 4.51/4.92 skol22 ) }.
% 4.51/4.92 parent0[0]: (25409) {G1,W9,D2,L2,V0,M2} { ! coll( skol24, skol20, skol22 )
% 4.51/4.92 , perp( skol20, skol22, skol22, skol22 ) }.
% 4.51/4.92 parent1[0]: (563) {G1,W4,D2,L1,V0,M1} R(69,121) { coll( skol24, skol20,
% 4.51/4.92 skol22 ) }.
% 4.51/4.92 substitution0:
% 4.51/4.92 end
% 4.51/4.92 substitution1:
% 4.51/4.92 end
% 4.51/4.92
% 4.51/4.92 subsumption: (7098) {G3,W5,D2,L1,V0,M1} R(7086,53);r(563) { perp( skol20,
% 4.51/4.92 skol22, skol22, skol22 ) }.
% 4.51/4.92 parent0: (25410) {G2,W5,D2,L1,V0,M1} { perp( skol20, skol22, skol22,
% 4.51/4.92 skol22 ) }.
% 4.51/4.92 substitution0:
% 4.51/4.92 end
% 4.51/4.92 permutation0:
% 4.51/4.92 0 ==> 0
% 4.51/4.92 end
% 4.51/4.92
% 4.51/4.92 resolution: (25411) {G1,W5,D2,L1,V0,M1} { perp( skol22, skol22, skol20,
% 4.51/4.92 skol22 ) }.
% 4.51/4.92 parent0[0]: (7) {G0,W10,D2,L2,V4,M2} I { ! perp( X, Y, Z, T ), perp( Z, T,
% 4.51/4.92 X, Y ) }.
% 4.51/4.92 parent1[0]: (7098) {G3,W5,D2,L1,V0,M1} R(7086,53);r(563) { perp( skol20,
% 4.51/4.92 skol22, skol22, skol22 ) }.
% 4.51/4.92 substitution0:
% 4.51/4.92 X := skol20
% 4.51/4.92 Y := skol22
% 4.51/4.92 Z := skol22
% 4.51/4.92 T := skol22
% 4.51/4.92 end
% 4.51/4.92 substitution1:
% 4.51/4.92 end
% 4.51/4.92
% 4.51/4.92 subsumption: (7120) {G4,W5,D2,L1,V0,M1} R(7098,7) { perp( skol22, skol22,
% 4.51/4.92 skol20, skol22 ) }.
% 4.51/4.92 parent0: (25411) {G1,W5,D2,L1,V0,M1} { perp( skol22, skol22, skol20,
% 4.51/4.92 skol22 ) }.
% 4.51/4.92 substitution0:
% 4.51/4.92 end
% 4.51/4.92 permutation0:
% 4.51/4.92 0 ==> 0
% 4.51/4.92 end
% 4.51/4.92
% 4.51/4.92 resolution: (25412) {G1,W13,D3,L2,V0,M2} { ! perp( skol20, skol22, skol22
% 4.51/4.92 , skol22 ), perp( skol22, skol10( skol22, skol20, skol22 ), skol22,
% 4.51/4.92 skol20 ) }.
% 4.51/4.92 parent0[0]: (95) {G0,W18,D3,L3,V4,M3} I { ! perp( X, T, Y, Z ), ! perp( Y,
% 4.51/4.92 T, X, Z ), perp( X, skol10( X, Y, Z ), Z, Y ) }.
% 4.51/4.92 parent1[0]: (7120) {G4,W5,D2,L1,V0,M1} R(7098,7) { perp( skol22, skol22,
% 4.51/4.92 skol20, skol22 ) }.
% 4.51/4.92 substitution0:
% 4.51/4.92 X := skol22
% 4.51/4.92 Y := skol20
% 4.51/4.92 Z := skol22
% 4.51/4.92 T := skol22
% 4.51/4.92 end
% 4.51/4.92 substitution1:
% 4.51/4.92 end
% 4.51/4.92
% 4.51/4.92 resolution: (25414) {G2,W8,D3,L1,V0,M1} { perp( skol22, skol10( skol22,
% 4.51/4.92 skol20, skol22 ), skol22, skol20 ) }.
% 4.51/4.92 parent0[0]: (25412) {G1,W13,D3,L2,V0,M2} { ! perp( skol20, skol22, skol22
% 4.51/4.92 , skol22 ), perp( skol22, skol10( skol22, skol20, skol22 ), skol22,
% 4.51/4.92 skol20 ) }.
% 4.51/4.92 parent1[0]: (7098) {G3,W5,D2,L1,V0,M1} R(7086,53);r(563) { perp( skol20,
% 4.51/4.92 skol22, skol22, skol22 ) }.
% 4.51/4.92 substitution0:
% 4.51/4.92 end
% 4.51/4.92 substitution1:
% 4.51/4.92 end
% 4.51/4.92
% 4.51/4.92 subsumption: (7125) {G5,W8,D3,L1,V0,M1} R(7120,95);r(7098) { perp( skol22,
% 4.51/4.92 skol10( skol22, skol20, skol22 ), skol22, skol20 ) }.
% 4.51/4.92 parent0: (25414) {G2,W8,D3,L1,V0,M1} { perp( skol22, skol10( skol22,
% 4.51/4.92 skol20, skol22 ), skol22, skol20 ) }.
% 4.51/4.92 substitution0:
% 4.51/4.92 end
% 4.51/4.92 permutation0:
% 4.51/4.92 0 ==> 0
% 4.51/4.92 end
% 4.51/4.92
% 4.51/4.92 resolution: (25415) {G1,W7,D3,L1,V0,M1} { perp( skol12( skol26, skol23 ),
% 4.51/4.92 skol26, skol26, skol23 ) }.
% 4.51/4.92 parent0[0]: (100) {G0,W12,D3,L2,V4,M2} I { ! circle( Y, X, Z, T ), perp(
% 4.51/4.92 skol12( X, Y ), X, X, Y ) }.
% 4.51/4.92 parent1[0]: (7088) {G3,W5,D2,L1,V0,M1} R(125,2429) { circle( skol23, skol26
% 4.51/4.92 , skol27, skol27 ) }.
% 4.51/4.92 substitution0:
% 4.51/4.92 X := skol26
% 4.51/4.92 Y := skol23
% 4.51/4.92 Z := skol27
% 4.51/4.92 T := skol27
% 4.51/4.92 end
% 4.51/4.92 substitution1:
% 4.51/4.92 end
% 4.51/4.92
% 4.51/4.92 subsumption: (7876) {G4,W7,D3,L1,V0,M1} R(7088,100) { perp( skol12( skol26
% 4.51/4.92 , skol23 ), skol26, skol26, skol23 ) }.
% 4.51/4.92 parent0: (25415) {G1,W7,D3,L1,V0,M1} { perp( skol12( skol26, skol23 ),
% 4.51/4.92 skol26, skol26, skol23 ) }.
% 4.51/4.92 substitution0:
% 4.51/4.92 end
% 4.51/4.92 permutation0:
% 4.51/4.92 0 ==> 0
% 4.51/4.92 end
% 4.51/4.92
% 4.51/4.92 resolution: (25416) {G2,W18,D3,L4,V2,M4} { ! midp( X, skol20, skol22 ), !
% 4.51/4.92 coll( skol20, skol20, skol22 ), midp( skol7( skol20, Y ), skol20, Y ), !
% 4.51/4.92 midp( skol24, skol20, skol22 ) }.
% 4.51/4.92 parent0[2]: (145) {G1,W18,D3,L4,V4,M4} F(88) { ! midp( X, Y, Z ), ! coll( Y
% 4.51/4.92 , Y, Z ), ! coll( Z, Y, Z ), midp( skol7( Y, T ), Y, T ) }.
% 4.51/4.92 parent1[0]: (2995) {G7,W8,D2,L2,V1,M2} R(1875,534) { coll( skol22, skol20,
% 4.51/4.92 X ), ! midp( skol24, skol20, X ) }.
% 4.51/4.92 substitution0:
% 4.51/4.92 X := X
% 4.51/4.92 Y := skol20
% 4.51/4.92 Z := skol22
% 4.51/4.92 T := Y
% 4.51/4.92 end
% 4.51/4.92 substitution1:
% 4.51/4.92 X := skol22
% 4.51/4.92 end
% 4.51/4.92
% 4.51/4.92 resolution: (25419) {G3,W14,D3,L3,V2,M3} { ! midp( X, skol20, skol22 ),
% 4.51/4.92 midp( skol7( skol20, Y ), skol20, Y ), ! midp( skol24, skol20, skol22 )
% 4.51/4.92 }.
% 4.51/4.92 parent0[1]: (25416) {G2,W18,D3,L4,V2,M4} { ! midp( X, skol20, skol22 ), !
% 4.51/4.92 coll( skol20, skol20, skol22 ), midp( skol7( skol20, Y ), skol20, Y ), !
% 4.51/4.92 midp( skol24, skol20, skol22 ) }.
% 4.51/4.92 parent1[0]: (573) {G11,W4,D2,L1,V0,M1} R(555,479) { coll( skol20, skol20,
% 4.51/4.92 skol22 ) }.
% 4.51/4.92 substitution0:
% 4.51/4.92 X := X
% 4.51/4.92 Y := Y
% 4.51/4.92 end
% 4.51/4.92 substitution1:
% 4.51/4.92 end
% 4.51/4.92
% 4.51/4.92 subsumption: (7936) {G12,W14,D3,L3,V2,M3} R(145,2995);r(573) { ! midp( X,
% 4.51/4.92 skol20, skol22 ), midp( skol7( skol20, Y ), skol20, Y ), ! midp( skol24,
% 4.51/4.92 skol20, skol22 ) }.
% 4.51/4.92 parent0: (25419) {G3,W14,D3,L3,V2,M3} { ! midp( X, skol20, skol22 ), midp
% 4.51/4.92 ( skol7( skol20, Y ), skol20, Y ), ! midp( skol24, skol20, skol22 ) }.
% 4.51/4.92 substitution0:
% 4.51/4.92 X := X
% 4.51/4.92 Y := Y
% 4.51/4.92 end
% 4.51/4.92 permutation0:
% 4.51/4.92 0 ==> 0
% 4.51/4.92 1 ==> 1
% 4.51/4.92 2 ==> 2
% 4.51/4.92 end
% 4.51/4.92
% 4.51/4.92 factor: (25421) {G12,W10,D3,L2,V1,M2} { ! midp( skol24, skol20, skol22 ),
% 4.51/4.92 midp( skol7( skol20, X ), skol20, X ) }.
% 4.51/4.92 parent0[0, 2]: (7936) {G12,W14,D3,L3,V2,M3} R(145,2995);r(573) { ! midp( X
% 4.51/4.92 , skol20, skol22 ), midp( skol7( skol20, Y ), skol20, Y ), ! midp( skol24
% 4.51/4.92 , skol20, skol22 ) }.
% 4.51/4.92 substitution0:
% 4.51/4.92 X := skol24
% 4.51/4.92 Y := X
% 4.51/4.92 end
% 4.51/4.92
% 4.51/4.92 resolution: (25422) {G1,W6,D3,L1,V1,M1} { midp( skol7( skol20, X ), skol20
% 4.51/4.92 , X ) }.
% 4.51/4.92 parent0[0]: (25421) {G12,W10,D3,L2,V1,M2} { ! midp( skol24, skol20, skol22
% 4.51/4.92 ), midp( skol7( skol20, X ), skol20, X ) }.
% 4.51/4.92 parent1[0]: (121) {G0,W4,D2,L1,V0,M1} I { midp( skol24, skol20, skol22 )
% 4.51/4.92 }.
% 4.51/4.92 substitution0:
% 4.51/4.92 X := X
% 4.51/4.92 end
% 4.51/4.92 substitution1:
% 4.51/4.92 end
% 4.51/4.92
% 4.51/4.92 subsumption: (8037) {G13,W6,D3,L1,V1,M1} F(7936);r(121) { midp( skol7(
% 4.51/4.92 skol20, X ), skol20, X ) }.
% 4.51/4.92 parent0: (25422) {G1,W6,D3,L1,V1,M1} { midp( skol7( skol20, X ), skol20, X
% 4.51/4.92 ) }.
% 4.51/4.92 substitution0:
% 4.51/4.92 X := X
% 4.51/4.92 end
% 4.51/4.92 permutation0:
% 4.51/4.92 0 ==> 0
% 4.51/4.92 end
% 4.51/4.92
% 4.51/4.92 resolution: (25423) {G12,W4,D2,L1,V1,M1} { coll( skol20, skol20, X ) }.
% 4.51/4.92 parent0[0]: (541) {G11,W8,D2,L2,V3,M2} R(69,480) { ! midp( X, Y, Z ), coll
% 4.51/4.92 ( Y, Y, Z ) }.
% 4.51/4.92 parent1[0]: (8037) {G13,W6,D3,L1,V1,M1} F(7936);r(121) { midp( skol7(
% 4.51/4.92 skol20, X ), skol20, X ) }.
% 4.51/4.92 substitution0:
% 4.51/4.92 X := skol7( skol20, X )
% 4.51/4.92 Y := skol20
% 4.51/4.92 Z := X
% 4.51/4.92 end
% 4.51/4.92 substitution1:
% 4.51/4.92 X := X
% 4.51/4.92 end
% 4.51/4.92
% 4.51/4.92 subsumption: (8285) {G14,W4,D2,L1,V1,M1} R(8037,541) { coll( skol20, skol20
% 4.51/4.92 , X ) }.
% 4.51/4.92 parent0: (25423) {G12,W4,D2,L1,V1,M1} { coll( skol20, skol20, X ) }.
% 4.51/4.92 substitution0:
% 4.51/4.92 X := X
% 4.51/4.92 end
% 4.51/4.92 permutation0:
% 4.51/4.92 0 ==> 0
% 4.51/4.92 end
% 4.51/4.92
% 4.51/4.92 resolution: (25424) {G1,W8,D2,L2,V2,M2} { ! coll( skol20, skol20, Y ),
% 4.51/4.92 coll( X, Y, skol20 ) }.
% 4.51/4.92 parent0[0]: (2) {G0,W12,D2,L3,V4,M3} I { ! coll( X, T, Y ), ! coll( X, T, Z
% 4.51/4.92 ), coll( Y, Z, X ) }.
% 4.51/4.92 parent1[0]: (8285) {G14,W4,D2,L1,V1,M1} R(8037,541) { coll( skol20, skol20
% 4.51/4.92 , X ) }.
% 4.51/4.92 substitution0:
% 4.51/4.92 X := skol20
% 4.51/4.92 Y := X
% 4.51/4.92 Z := Y
% 4.51/4.92 T := skol20
% 4.51/4.92 end
% 4.51/4.92 substitution1:
% 4.51/4.92 X := X
% 4.51/4.92 end
% 4.51/4.92
% 4.51/4.92 resolution: (25426) {G2,W4,D2,L1,V2,M1} { coll( Y, X, skol20 ) }.
% 4.51/4.92 parent0[0]: (25424) {G1,W8,D2,L2,V2,M2} { ! coll( skol20, skol20, Y ),
% 4.51/4.93 coll( X, Y, skol20 ) }.
% 4.51/4.93 parent1[0]: (8285) {G14,W4,D2,L1,V1,M1} R(8037,541) { coll( skol20, skol20
% 4.51/4.93 , X ) }.
% 4.51/4.93 substitution0:
% 4.51/4.93 X := Y
% 4.51/4.93 Y := X
% 4.51/4.93 end
% 4.51/4.93 substitution1:
% 4.51/4.93 X := X
% 4.51/4.93 end
% 4.51/4.93
% 4.51/4.93 subsumption: (8397) {G15,W4,D2,L1,V2,M1} R(8285,2);r(8285) { coll( Y, X,
% 4.51/4.93 skol20 ) }.
% 4.51/4.93 parent0: (25426) {G2,W4,D2,L1,V2,M1} { coll( Y, X, skol20 ) }.
% 4.51/4.93 substitution0:
% 4.51/4.93 X := X
% 4.51/4.93 Y := Y
% 4.51/4.93 end
% 4.51/4.93 permutation0:
% 4.51/4.93 0 ==> 0
% 4.51/4.93 end
% 4.51/4.93
% 4.51/4.93 resolution: (25427) {G2,W4,D2,L1,V2,M1} { coll( Y, skol20, X ) }.
% 4.51/4.93 parent0[0]: (165) {G1,W8,D2,L2,V3,M2} R(1,0) { ! coll( X, Y, Z ), coll( Y,
% 4.51/4.93 Z, X ) }.
% 4.51/4.93 parent1[0]: (8397) {G15,W4,D2,L1,V2,M1} R(8285,2);r(8285) { coll( Y, X,
% 4.51/4.93 skol20 ) }.
% 4.51/4.93 substitution0:
% 4.51/4.93 X := X
% 4.51/4.93 Y := Y
% 4.51/4.93 Z := skol20
% 4.51/4.93 end
% 4.51/4.93 substitution1:
% 4.51/4.93 X := Y
% 4.51/4.93 Y := X
% 4.51/4.93 end
% 4.51/4.93
% 4.51/4.93 subsumption: (8422) {G16,W4,D2,L1,V2,M1} R(8397,165) { coll( X, skol20, Y )
% 4.51/4.93 }.
% 4.51/4.93 parent0: (25427) {G2,W4,D2,L1,V2,M1} { coll( Y, skol20, X ) }.
% 4.51/4.93 substitution0:
% 4.51/4.93 X := Y
% 4.51/4.93 Y := X
% 4.51/4.93 end
% 4.51/4.93 permutation0:
% 4.51/4.93 0 ==> 0
% 4.51/4.93 end
% 4.51/4.93
% 4.51/4.93 resolution: (25428) {G1,W8,D2,L2,V3,M2} { ! coll( X, skol20, Z ), coll( Y
% 4.51/4.93 , Z, X ) }.
% 4.51/4.93 parent0[0]: (2) {G0,W12,D2,L3,V4,M3} I { ! coll( X, T, Y ), ! coll( X, T, Z
% 4.51/4.93 ), coll( Y, Z, X ) }.
% 4.51/4.93 parent1[0]: (8422) {G16,W4,D2,L1,V2,M1} R(8397,165) { coll( X, skol20, Y )
% 4.51/4.93 }.
% 4.51/4.93 substitution0:
% 4.51/4.93 X := X
% 4.51/4.93 Y := Y
% 4.51/4.93 Z := Z
% 4.51/4.93 T := skol20
% 4.51/4.93 end
% 4.51/4.93 substitution1:
% 4.51/4.93 X := X
% 4.51/4.93 Y := Y
% 4.51/4.93 end
% 4.51/4.93
% 4.51/4.93 resolution: (25430) {G2,W4,D2,L1,V3,M1} { coll( Z, Y, X ) }.
% 4.51/4.93 parent0[0]: (25428) {G1,W8,D2,L2,V3,M2} { ! coll( X, skol20, Z ), coll( Y
% 4.51/4.93 , Z, X ) }.
% 4.51/4.93 parent1[0]: (8422) {G16,W4,D2,L1,V2,M1} R(8397,165) { coll( X, skol20, Y )
% 4.51/4.93 }.
% 4.51/4.93 substitution0:
% 4.51/4.93 X := X
% 4.51/4.93 Y := Z
% 4.51/4.93 Z := Y
% 4.51/4.93 end
% 4.51/4.93 substitution1:
% 4.51/4.93 X := X
% 4.51/4.93 Y := Y
% 4.51/4.93 end
% 4.51/4.93
% 4.51/4.93 subsumption: (8435) {G17,W4,D2,L1,V3,M1} R(8422,2);r(8422) { coll( Z, Y, X
% 4.51/4.93 ) }.
% 4.51/4.93 parent0: (25430) {G2,W4,D2,L1,V3,M1} { coll( Z, Y, X ) }.
% 4.51/4.93 substitution0:
% 4.51/4.93 X := X
% 4.51/4.93 Y := Y
% 4.51/4.93 Z := Z
% 4.51/4.93 end
% 4.51/4.93 permutation0:
% 4.51/4.93 0 ==> 0
% 4.51/4.93 end
% 4.51/4.93
% 4.51/4.93 resolution: (25431) {G1,W7,D3,L1,V0,M1} { perp( skol26, skol23, skol12(
% 4.51/4.93 skol26, skol23 ), skol26 ) }.
% 4.51/4.93 parent0[0]: (7) {G0,W10,D2,L2,V4,M2} I { ! perp( X, Y, Z, T ), perp( Z, T,
% 4.51/4.93 X, Y ) }.
% 4.51/4.93 parent1[0]: (7876) {G4,W7,D3,L1,V0,M1} R(7088,100) { perp( skol12( skol26,
% 4.51/4.93 skol23 ), skol26, skol26, skol23 ) }.
% 4.51/4.93 substitution0:
% 4.51/4.93 X := skol12( skol26, skol23 )
% 4.51/4.93 Y := skol26
% 4.51/4.93 Z := skol26
% 4.51/4.93 T := skol23
% 4.51/4.93 end
% 4.51/4.93 substitution1:
% 4.51/4.93 end
% 4.51/4.93
% 4.51/4.93 subsumption: (8618) {G5,W7,D3,L1,V0,M1} R(7876,7) { perp( skol26, skol23,
% 4.51/4.93 skol12( skol26, skol23 ), skol26 ) }.
% 4.51/4.93 parent0: (25431) {G1,W7,D3,L1,V0,M1} { perp( skol26, skol23, skol12(
% 4.51/4.93 skol26, skol23 ), skol26 ) }.
% 4.51/4.93 substitution0:
% 4.51/4.93 end
% 4.51/4.93 permutation0:
% 4.51/4.93 0 ==> 0
% 4.51/4.93 end
% 4.51/4.93
% 4.51/4.93 resolution: (25432) {G1,W7,D3,L1,V0,M1} { perp( skol26, skol23, skol26,
% 4.51/4.93 skol12( skol26, skol23 ) ) }.
% 4.51/4.93 parent0[0]: (6) {G0,W10,D2,L2,V4,M2} I { ! perp( X, Y, Z, T ), perp( X, Y,
% 4.51/4.93 T, Z ) }.
% 4.51/4.93 parent1[0]: (8618) {G5,W7,D3,L1,V0,M1} R(7876,7) { perp( skol26, skol23,
% 4.51/4.93 skol12( skol26, skol23 ), skol26 ) }.
% 4.51/4.93 substitution0:
% 4.51/4.93 X := skol26
% 4.51/4.93 Y := skol23
% 4.51/4.93 Z := skol12( skol26, skol23 )
% 4.51/4.93 T := skol26
% 4.51/4.93 end
% 4.51/4.93 substitution1:
% 4.51/4.93 end
% 4.51/4.93
% 4.51/4.93 subsumption: (8627) {G6,W7,D3,L1,V0,M1} R(8618,6) { perp( skol26, skol23,
% 4.51/4.93 skol26, skol12( skol26, skol23 ) ) }.
% 4.51/4.93 parent0: (25432) {G1,W7,D3,L1,V0,M1} { perp( skol26, skol23, skol26,
% 4.51/4.93 skol12( skol26, skol23 ) ) }.
% 4.51/4.93 substitution0:
% 4.51/4.93 end
% 4.51/4.93 permutation0:
% 4.51/4.93 0 ==> 0
% 4.51/4.93 end
% 4.51/4.93
% 4.51/4.93 resolution: (25433) {G1,W7,D3,L1,V0,M1} { perp( skol26, skol12( skol26,
% 4.51/4.93 skol23 ), skol26, skol23 ) }.
% 4.51/4.93 parent0[0]: (7) {G0,W10,D2,L2,V4,M2} I { ! perp( X, Y, Z, T ), perp( Z, T,
% 4.51/4.93 X, Y ) }.
% 4.51/4.93 parent1[0]: (8627) {G6,W7,D3,L1,V0,M1} R(8618,6) { perp( skol26, skol23,
% 4.51/4.93 skol26, skol12( skol26, skol23 ) ) }.
% 4.51/4.93 substitution0:
% 4.51/4.93 X := skol26
% 4.51/4.93 Y := skol23
% 4.51/4.93 Z := skol26
% 4.51/4.93 T := skol12( skol26, skol23 )
% 4.51/4.93 end
% 4.51/4.93 substitution1:
% 4.51/4.93 end
% 4.51/4.93
% 4.51/4.93 subsumption: (8635) {G7,W7,D3,L1,V0,M1} R(8627,7) { perp( skol26, skol12(
% 4.51/4.93 skol26, skol23 ), skol26, skol23 ) }.
% 4.51/4.93 parent0: (25433) {G1,W7,D3,L1,V0,M1} { perp( skol26, skol12( skol26,
% 4.51/4.93 skol23 ), skol26, skol23 ) }.
% 4.51/4.93 substitution0:
% 4.51/4.93 end
% 4.51/4.93 permutation0:
% 4.51/4.93 0 ==> 0
% 4.51/4.93 end
% 4.51/4.93
% 4.51/4.93 resolution: (25434) {G1,W7,D3,L1,V0,M1} { perp( skol26, skol12( skol26,
% 4.51/4.93 skol23 ), skol23, skol26 ) }.
% 4.51/4.93 parent0[0]: (6) {G0,W10,D2,L2,V4,M2} I { ! perp( X, Y, Z, T ), perp( X, Y,
% 4.51/4.93 T, Z ) }.
% 4.51/4.93 parent1[0]: (8635) {G7,W7,D3,L1,V0,M1} R(8627,7) { perp( skol26, skol12(
% 4.51/4.93 skol26, skol23 ), skol26, skol23 ) }.
% 4.51/4.93 substitution0:
% 4.51/4.93 X := skol26
% 4.51/4.93 Y := skol12( skol26, skol23 )
% 4.51/4.93 Z := skol26
% 4.51/4.93 T := skol23
% 4.51/4.93 end
% 4.51/4.93 substitution1:
% 4.51/4.93 end
% 4.51/4.93
% 4.51/4.93 subsumption: (8644) {G8,W7,D3,L1,V0,M1} R(8635,6) { perp( skol26, skol12(
% 4.51/4.93 skol26, skol23 ), skol23, skol26 ) }.
% 4.51/4.93 parent0: (25434) {G1,W7,D3,L1,V0,M1} { perp( skol26, skol12( skol26,
% 4.51/4.93 skol23 ), skol23, skol26 ) }.
% 4.51/4.93 substitution0:
% 4.51/4.93 end
% 4.51/4.93 permutation0:
% 4.51/4.93 0 ==> 0
% 4.51/4.93 end
% 4.51/4.93
% 4.51/4.93 resolution: (25435) {G1,W7,D3,L1,V0,M1} { perp( skol23, skol26, skol26,
% 4.51/4.93 skol12( skol26, skol23 ) ) }.
% 4.51/4.93 parent0[0]: (7) {G0,W10,D2,L2,V4,M2} I { ! perp( X, Y, Z, T ), perp( Z, T,
% 4.51/4.93 X, Y ) }.
% 4.51/4.93 parent1[0]: (8644) {G8,W7,D3,L1,V0,M1} R(8635,6) { perp( skol26, skol12(
% 4.51/4.93 skol26, skol23 ), skol23, skol26 ) }.
% 4.51/4.93 substitution0:
% 4.51/4.93 X := skol26
% 4.51/4.93 Y := skol12( skol26, skol23 )
% 4.51/4.93 Z := skol23
% 4.51/4.93 T := skol26
% 4.51/4.93 end
% 4.51/4.93 substitution1:
% 4.51/4.93 end
% 4.51/4.93
% 4.51/4.93 subsumption: (8653) {G9,W7,D3,L1,V0,M1} R(8644,7) { perp( skol23, skol26,
% 4.51/4.93 skol26, skol12( skol26, skol23 ) ) }.
% 4.51/4.93 parent0: (25435) {G1,W7,D3,L1,V0,M1} { perp( skol23, skol26, skol26,
% 4.51/4.93 skol12( skol26, skol23 ) ) }.
% 4.51/4.93 substitution0:
% 4.51/4.93 end
% 4.51/4.93 permutation0:
% 4.51/4.93 0 ==> 0
% 4.51/4.93 end
% 4.51/4.93
% 4.51/4.93 resolution: (25436) {G1,W14,D3,L2,V2,M2} { ! coll( skol12( skol26, skol23
% 4.51/4.93 ), X, Y ), perp( skol16( skol23, X, Y ), skol23, X, Y ) }.
% 4.51/4.93 parent0[0]: (110) {G0,W17,D3,L3,V5,M3} I { ! perp( X, U, U, T ), ! coll( T
% 4.51/4.93 , Y, Z ), perp( skol16( X, Y, Z ), X, Y, Z ) }.
% 4.51/4.93 parent1[0]: (8653) {G9,W7,D3,L1,V0,M1} R(8644,7) { perp( skol23, skol26,
% 4.51/4.93 skol26, skol12( skol26, skol23 ) ) }.
% 4.51/4.93 substitution0:
% 4.51/4.93 X := skol23
% 4.51/4.93 Y := X
% 4.51/4.93 Z := Y
% 4.51/4.93 T := skol12( skol26, skol23 )
% 4.51/4.93 U := skol26
% 4.51/4.93 end
% 4.51/4.93 substitution1:
% 4.51/4.93 end
% 4.51/4.93
% 4.51/4.93 resolution: (25437) {G2,W8,D3,L1,V2,M1} { perp( skol16( skol23, X, Y ),
% 4.51/4.93 skol23, X, Y ) }.
% 4.51/4.93 parent0[0]: (25436) {G1,W14,D3,L2,V2,M2} { ! coll( skol12( skol26, skol23
% 4.51/4.93 ), X, Y ), perp( skol16( skol23, X, Y ), skol23, X, Y ) }.
% 4.51/4.93 parent1[0]: (8435) {G17,W4,D2,L1,V3,M1} R(8422,2);r(8422) { coll( Z, Y, X )
% 4.51/4.93 }.
% 4.51/4.93 substitution0:
% 4.51/4.93 X := X
% 4.51/4.93 Y := Y
% 4.51/4.93 end
% 4.51/4.93 substitution1:
% 4.51/4.93 X := Y
% 4.51/4.93 Y := X
% 4.51/4.93 Z := skol12( skol26, skol23 )
% 4.51/4.93 end
% 4.51/4.93
% 4.51/4.93 subsumption: (8655) {G18,W8,D3,L1,V2,M1} R(8653,110);r(8435) { perp( skol16
% 4.51/4.93 ( skol23, X, Y ), skol23, X, Y ) }.
% 4.51/4.93 parent0: (25437) {G2,W8,D3,L1,V2,M1} { perp( skol16( skol23, X, Y ),
% 4.51/4.93 skol23, X, Y ) }.
% 4.51/4.93 substitution0:
% 4.51/4.93 X := X
% 4.51/4.93 Y := Y
% 4.51/4.93 end
% 4.51/4.93 permutation0:
% 4.51/4.93 0 ==> 0
% 4.51/4.93 end
% 4.51/4.93
% 4.51/4.93 resolution: (25438) {G2,W8,D3,L1,V2,M1} { perp( X, Y, skol23, skol16(
% 4.51/4.93 skol23, X, Y ) ) }.
% 4.51/4.93 parent0[0]: (266) {G1,W10,D2,L2,V4,M2} R(7,6) { ! perp( X, Y, Z, T ), perp
% 4.51/4.93 ( Z, T, Y, X ) }.
% 4.51/4.93 parent1[0]: (8655) {G18,W8,D3,L1,V2,M1} R(8653,110);r(8435) { perp( skol16
% 4.51/4.93 ( skol23, X, Y ), skol23, X, Y ) }.
% 4.51/4.93 substitution0:
% 4.51/4.93 X := skol16( skol23, X, Y )
% 4.51/4.93 Y := skol23
% 4.51/4.93 Z := X
% 4.51/4.93 T := Y
% 4.51/4.93 end
% 4.51/4.93 substitution1:
% 4.51/4.93 X := X
% 4.51/4.93 Y := Y
% 4.51/4.93 end
% 4.51/4.93
% 4.51/4.93 subsumption: (9198) {G19,W8,D3,L1,V2,M1} R(8655,266) { perp( X, Y, skol23,
% 4.51/4.93 skol16( skol23, X, Y ) ) }.
% 4.51/4.93 parent0: (25438) {G2,W8,D3,L1,V2,M1} { perp( X, Y, skol23, skol16( skol23
% 4.51/4.93 , X, Y ) ) }.
% 4.51/4.93 substitution0:
% 4.51/4.93 X := X
% 4.51/4.93 Y := Y
% 4.51/4.93 end
% 4.51/4.93 permutation0:
% 4.51/4.93 0 ==> 0
% 4.51/4.93 end
% 4.51/4.93
% 4.51/4.93 resolution: (25439) {G1,W15,D3,L2,V3,M2} { ! coll( skol16( skol23, X,
% 4.51/4.93 skol23 ), Y, Z ), perp( skol16( X, Y, Z ), X, Y, Z ) }.
% 4.51/4.93 parent0[0]: (110) {G0,W17,D3,L3,V5,M3} I { ! perp( X, U, U, T ), ! coll( T
% 4.51/4.93 , Y, Z ), perp( skol16( X, Y, Z ), X, Y, Z ) }.
% 4.51/4.93 parent1[0]: (9198) {G19,W8,D3,L1,V2,M1} R(8655,266) { perp( X, Y, skol23,
% 4.51/4.93 skol16( skol23, X, Y ) ) }.
% 4.51/4.93 substitution0:
% 4.51/4.93 X := X
% 4.51/4.93 Y := Y
% 4.51/4.93 Z := Z
% 4.51/4.93 T := skol16( skol23, X, skol23 )
% 4.51/4.93 U := skol23
% 4.51/4.93 end
% 4.51/4.93 substitution1:
% 4.51/4.93 X := X
% 4.51/4.93 Y := skol23
% 4.51/4.93 end
% 4.51/4.93
% 4.51/4.93 resolution: (25440) {G2,W8,D3,L1,V3,M1} { perp( skol16( X, Y, Z ), X, Y, Z
% 4.51/4.93 ) }.
% 4.51/4.93 parent0[0]: (25439) {G1,W15,D3,L2,V3,M2} { ! coll( skol16( skol23, X,
% 4.51/4.93 skol23 ), Y, Z ), perp( skol16( X, Y, Z ), X, Y, Z ) }.
% 4.51/4.93 parent1[0]: (8435) {G17,W4,D2,L1,V3,M1} R(8422,2);r(8422) { coll( Z, Y, X )
% 4.51/4.93 }.
% 4.51/4.93 substitution0:
% 4.51/4.93 X := X
% 4.51/4.93 Y := Y
% 4.51/4.93 Z := Z
% 4.51/4.93 end
% 4.51/4.93 substitution1:
% 4.51/4.93 X := Z
% 4.51/4.93 Y := Y
% 4.51/4.93 Z := skol16( skol23, X, skol23 )
% 4.51/4.93 end
% 4.51/4.93
% 4.51/4.93 subsumption: (9222) {G20,W8,D3,L1,V3,M1} R(9198,110);r(8435) { perp( skol16
% 4.51/4.93 ( X, Y, Z ), X, Y, Z ) }.
% 4.51/4.93 parent0: (25440) {G2,W8,D3,L1,V3,M1} { perp( skol16( X, Y, Z ), X, Y, Z )
% 4.51/4.93 }.
% 4.51/4.93 substitution0:
% 4.51/4.93 X := X
% 4.51/4.93 Y := Y
% 4.51/4.93 Z := Z
% 4.51/4.93 end
% 4.51/4.93 permutation0:
% 4.51/4.93 0 ==> 0
% 4.51/4.93 end
% 4.51/4.93
% 4.51/4.93 resolution: (25441) {G2,W8,D3,L1,V3,M1} { perp( Y, Z, X, skol16( X, Y, Z )
% 4.51/4.93 ) }.
% 4.51/4.93 parent0[0]: (266) {G1,W10,D2,L2,V4,M2} R(7,6) { ! perp( X, Y, Z, T ), perp
% 4.51/4.93 ( Z, T, Y, X ) }.
% 4.51/4.93 parent1[0]: (9222) {G20,W8,D3,L1,V3,M1} R(9198,110);r(8435) { perp( skol16
% 4.51/4.93 ( X, Y, Z ), X, Y, Z ) }.
% 4.51/4.93 substitution0:
% 4.51/4.93 X := skol16( X, Y, Z )
% 4.51/4.93 Y := X
% 4.51/4.93 Z := Y
% 4.51/4.93 T := Z
% 4.51/4.93 end
% 4.51/4.93 substitution1:
% 4.51/4.93 X := X
% 4.51/4.93 Y := Y
% 4.51/4.93 Z := Z
% 4.51/4.93 end
% 4.51/4.93
% 4.51/4.93 subsumption: (9325) {G21,W8,D3,L1,V3,M1} R(9222,266) { perp( X, Y, Z,
% 4.51/4.93 skol16( Z, X, Y ) ) }.
% 4.51/4.93 parent0: (25441) {G2,W8,D3,L1,V3,M1} { perp( Y, Z, X, skol16( X, Y, Z ) )
% 4.51/4.93 }.
% 4.51/4.93 substitution0:
% 4.51/4.93 X := Z
% 4.51/4.93 Y := X
% 4.51/4.93 Z := Y
% 4.51/4.93 end
% 4.51/4.93 permutation0:
% 4.51/4.93 0 ==> 0
% 4.51/4.93 end
% 4.51/4.93
% 4.51/4.93 resolution: (25442) {G2,W8,D3,L1,V3,M1} { perp( Z, skol16( Z, X, Y ), Y, X
% 4.51/4.93 ) }.
% 4.51/4.93 parent0[0]: (266) {G1,W10,D2,L2,V4,M2} R(7,6) { ! perp( X, Y, Z, T ), perp
% 4.51/4.93 ( Z, T, Y, X ) }.
% 4.51/4.93 parent1[0]: (9325) {G21,W8,D3,L1,V3,M1} R(9222,266) { perp( X, Y, Z, skol16
% 4.51/4.93 ( Z, X, Y ) ) }.
% 4.51/4.93 substitution0:
% 4.51/4.93 X := X
% 4.51/4.93 Y := Y
% 4.51/4.93 Z := Z
% 4.51/4.93 T := skol16( Z, X, Y )
% 4.51/4.93 end
% 4.51/4.93 substitution1:
% 4.51/4.93 X := X
% 4.51/4.93 Y := Y
% 4.51/4.93 Z := Z
% 4.51/4.93 end
% 4.51/4.93
% 4.51/4.93 subsumption: (9342) {G22,W8,D3,L1,V3,M1} R(9325,266) { perp( X, skol16( X,
% 4.51/4.93 Y, Z ), Z, Y ) }.
% 4.51/4.93 parent0: (25442) {G2,W8,D3,L1,V3,M1} { perp( Z, skol16( Z, X, Y ), Y, X )
% 4.51/4.93 }.
% 4.51/4.93 substitution0:
% 4.51/4.93 X := Y
% 4.51/4.93 Y := Z
% 4.51/4.93 Z := X
% 4.51/4.93 end
% 4.51/4.93 permutation0:
% 4.51/4.93 0 ==> 0
% 4.51/4.93 end
% 4.51/4.93
% 4.51/4.93 resolution: (25443) {G2,W4,D2,L1,V2,M1} { alpha1( X, X, Y ) }.
% 4.51/4.93 parent0[0]: (152) {G1,W9,D2,L2,V3,M2} F(96) { ! perp( X, Y, X, Z ), alpha1
% 4.51/4.93 ( X, X, Z ) }.
% 4.51/4.93 parent1[0]: (9342) {G22,W8,D3,L1,V3,M1} R(9325,266) { perp( X, skol16( X, Y
% 4.51/4.93 , Z ), Z, Y ) }.
% 4.51/4.93 substitution0:
% 4.51/4.93 X := X
% 4.51/4.93 Y := skol16( X, Y, X )
% 4.51/4.93 Z := Y
% 4.51/4.93 end
% 4.51/4.93 substitution1:
% 4.51/4.93 X := X
% 4.51/4.93 Y := Y
% 4.51/4.93 Z := X
% 4.51/4.93 end
% 4.51/4.93
% 4.51/4.93 subsumption: (9449) {G23,W4,D2,L1,V2,M1} R(9342,152) { alpha1( X, X, Y )
% 4.51/4.93 }.
% 4.51/4.93 parent0: (25443) {G2,W4,D2,L1,V2,M1} { alpha1( X, X, Y ) }.
% 4.51/4.93 substitution0:
% 4.51/4.93 X := X
% 4.51/4.93 Y := Y
% 4.51/4.93 end
% 4.51/4.93 permutation0:
% 4.51/4.93 0 ==> 0
% 4.51/4.93 end
% 4.51/4.93
% 4.51/4.93 resolution: (25444) {G1,W8,D3,L1,V2,M1} { perp( X, skol11( X, X, Y ), Y, X
% 4.51/4.93 ) }.
% 4.51/4.93 parent0[0]: (98) {G0,W12,D3,L2,V3,M2} I { ! alpha1( X, Y, Z ), perp( Y,
% 4.51/4.93 skol11( X, Y, Z ), Z, X ) }.
% 4.51/4.93 parent1[0]: (9449) {G23,W4,D2,L1,V2,M1} R(9342,152) { alpha1( X, X, Y ) }.
% 4.51/4.93 substitution0:
% 4.51/4.93 X := X
% 4.51/4.93 Y := X
% 4.51/4.93 Z := Y
% 4.51/4.93 end
% 4.51/4.93 substitution1:
% 4.51/4.93 X := X
% 4.51/4.93 Y := Y
% 4.51/4.93 end
% 4.51/4.93
% 4.51/4.93 subsumption: (9458) {G24,W8,D3,L1,V2,M1} R(9449,98) { perp( X, skol11( X, X
% 4.51/4.93 , Y ), Y, X ) }.
% 4.51/4.93 parent0: (25444) {G1,W8,D3,L1,V2,M1} { perp( X, skol11( X, X, Y ), Y, X )
% 4.51/4.93 }.
% 4.51/4.93 substitution0:
% 4.51/4.93 X := X
% 4.51/4.93 Y := Y
% 4.51/4.93 end
% 4.51/4.93 permutation0:
% 4.51/4.93 0 ==> 0
% 4.51/4.93 end
% 4.51/4.93
% 4.51/4.93 resolution: (25445) {G2,W8,D3,L1,V2,M1} { perp( Y, X, skol11( X, X, Y ), X
% 4.51/4.93 ) }.
% 4.51/4.93 parent0[0]: (266) {G1,W10,D2,L2,V4,M2} R(7,6) { ! perp( X, Y, Z, T ), perp
% 4.51/4.93 ( Z, T, Y, X ) }.
% 4.51/4.93 parent1[0]: (9458) {G24,W8,D3,L1,V2,M1} R(9449,98) { perp( X, skol11( X, X
% 4.51/4.93 , Y ), Y, X ) }.
% 4.51/4.93 substitution0:
% 4.51/4.93 X := X
% 4.51/4.93 Y := skol11( X, X, Y )
% 4.51/4.93 Z := Y
% 4.51/4.93 T := X
% 4.51/4.93 end
% 4.51/4.93 substitution1:
% 4.51/4.93 X := X
% 4.51/4.93 Y := Y
% 4.51/4.93 end
% 4.51/4.93
% 4.51/4.93 subsumption: (9597) {G25,W8,D3,L1,V2,M1} R(9458,266) { perp( X, Y, skol11(
% 4.51/4.93 Y, Y, X ), Y ) }.
% 4.51/4.93 parent0: (25445) {G2,W8,D3,L1,V2,M1} { perp( Y, X, skol11( X, X, Y ), X )
% 4.51/4.93 }.
% 4.51/4.93 substitution0:
% 4.51/4.93 X := Y
% 4.51/4.93 Y := X
% 4.51/4.93 end
% 4.51/4.93 permutation0:
% 4.51/4.93 0 ==> 0
% 4.51/4.93 end
% 4.51/4.93
% 4.51/4.93 resolution: (25446) {G2,W8,D3,L1,V2,M1} { perp( skol11( Y, Y, X ), Y, Y, X
% 4.51/4.93 ) }.
% 4.51/4.93 parent0[0]: (266) {G1,W10,D2,L2,V4,M2} R(7,6) { ! perp( X, Y, Z, T ), perp
% 4.51/4.93 ( Z, T, Y, X ) }.
% 4.51/4.93 parent1[0]: (9597) {G25,W8,D3,L1,V2,M1} R(9458,266) { perp( X, Y, skol11( Y
% 4.51/4.93 , Y, X ), Y ) }.
% 4.51/4.93 substitution0:
% 4.51/4.93 X := X
% 4.51/4.93 Y := Y
% 4.51/4.93 Z := skol11( Y, Y, X )
% 4.51/4.93 T := Y
% 4.51/4.93 end
% 4.51/4.93 substitution1:
% 4.51/4.93 X := X
% 4.51/4.93 Y := Y
% 4.51/4.93 end
% 4.51/4.93
% 4.51/4.93 subsumption: (9617) {G26,W8,D3,L1,V2,M1} R(9597,266) { perp( skol11( X, X,
% 4.51/4.93 Y ), X, X, Y ) }.
% 4.51/4.93 parent0: (25446) {G2,W8,D3,L1,V2,M1} { perp( skol11( Y, Y, X ), Y, Y, X )
% 4.51/4.93 }.
% 4.51/4.93 substitution0:
% 4.51/4.93 X := Y
% 4.51/4.93 Y := X
% 4.51/4.93 end
% 4.51/4.93 permutation0:
% 4.51/4.93 0 ==> 0
% 4.51/4.93 end
% 4.51/4.93
% 4.51/4.93 resolution: (25447) {G1,W8,D3,L1,V2,M1} { perp( X, Y, skol11( X, X, Y ), X
% 4.51/4.93 ) }.
% 4.51/4.93 parent0[0]: (7) {G0,W10,D2,L2,V4,M2} I { ! perp( X, Y, Z, T ), perp( Z, T,
% 4.51/4.93 X, Y ) }.
% 4.51/4.93 parent1[0]: (9617) {G26,W8,D3,L1,V2,M1} R(9597,266) { perp( skol11( X, X, Y
% 4.51/4.93 ), X, X, Y ) }.
% 4.51/4.93 substitution0:
% 4.51/4.93 X := skol11( X, X, Y )
% 4.51/4.93 Y := X
% 4.51/4.93 Z := X
% 4.51/4.93 T := Y
% 4.51/4.93 end
% 4.51/4.93 substitution1:
% 4.51/4.93 X := X
% 4.51/4.93 Y := Y
% 4.51/4.93 end
% 4.51/4.93
% 4.51/4.93 subsumption: (9636) {G27,W8,D3,L1,V2,M1} R(9617,7) { perp( X, Y, skol11( X
% 4.51/4.93 , X, Y ), X ) }.
% 4.51/4.93 parent0: (25447) {G1,W8,D3,L1,V2,M1} { perp( X, Y, skol11( X, X, Y ), X )
% 4.51/4.93 }.
% 4.51/4.93 substitution0:
% 4.51/4.93 X := X
% 4.51/4.93 Y := Y
% 4.51/4.93 end
% 4.51/4.93 permutation0:
% 4.51/4.93 0 ==> 0
% 4.51/4.93 end
% 4.51/4.93
% 4.51/4.93 resolution: (25448) {G3,W5,D2,L1,V2,M1} { para( X, Y, X, Y ) }.
% 4.51/4.93 parent0[0]: (290) {G2,W10,D2,L2,V4,M2} F(278) { ! perp( X, Y, Z, T ), para
% 4.51/4.93 ( X, Y, X, Y ) }.
% 4.51/4.93 parent1[0]: (9636) {G27,W8,D3,L1,V2,M1} R(9617,7) { perp( X, Y, skol11( X,
% 4.51/4.93 X, Y ), X ) }.
% 4.51/4.93 substitution0:
% 4.51/4.93 X := X
% 4.51/4.93 Y := Y
% 4.51/4.93 Z := skol11( X, X, Y )
% 4.51/4.93 T := X
% 4.51/4.93 end
% 4.51/4.93 substitution1:
% 4.51/4.93 X := X
% 4.51/4.93 Y := Y
% 4.51/4.93 end
% 4.51/4.93
% 4.51/4.93 subsumption: (9893) {G28,W5,D2,L1,V2,M1} R(290,9636) { para( X, Y, X, Y )
% 4.51/4.93 }.
% 4.51/4.93 parent0: (25448) {G3,W5,D2,L1,V2,M1} { para( X, Y, X, Y ) }.
% 4.51/4.93 substitution0:
% 4.51/4.93 X := X
% 4.51/4.93 Y := Y
% 4.51/4.93 end
% 4.51/4.93 permutation0:
% 4.51/4.93 0 ==> 0
% 4.51/4.93 end
% 4.51/4.93
% 4.51/4.93 resolution: (25449) {G2,W10,D2,L2,V3,M2} { cyclic( Z, Y, X, X ), ! para( X
% 4.51/4.93 , Z, X, Z ) }.
% 4.51/4.93 parent0[0]: (784) {G1,W14,D2,L3,V3,M3} R(42,39) { ! coll( X, X, Y ), cyclic
% 4.51/4.93 ( Z, Y, X, X ), ! para( X, Z, X, Z ) }.
% 4.51/4.93 parent1[0]: (8435) {G17,W4,D2,L1,V3,M1} R(8422,2);r(8422) { coll( Z, Y, X )
% 4.51/4.93 }.
% 4.51/4.93 substitution0:
% 4.51/4.93 X := X
% 4.51/4.93 Y := Y
% 4.51/4.93 Z := Z
% 4.51/4.93 end
% 4.51/4.93 substitution1:
% 4.51/4.93 X := Y
% 4.51/4.93 Y := X
% 4.51/4.93 Z := X
% 4.51/4.93 end
% 4.51/4.93
% 4.51/4.93 resolution: (25450) {G3,W5,D2,L1,V3,M1} { cyclic( X, Y, Z, Z ) }.
% 4.51/4.93 parent0[1]: (25449) {G2,W10,D2,L2,V3,M2} { cyclic( Z, Y, X, X ), ! para( X
% 4.51/4.93 , Z, X, Z ) }.
% 4.51/4.93 parent1[0]: (9893) {G28,W5,D2,L1,V2,M1} R(290,9636) { para( X, Y, X, Y )
% 4.51/4.93 }.
% 4.51/4.93 substitution0:
% 4.51/4.93 X := Z
% 4.51/4.93 Y := Y
% 4.51/4.93 Z := X
% 4.51/4.93 end
% 4.51/4.93 substitution1:
% 4.51/4.93 X := Z
% 4.51/4.93 Y := X
% 4.51/4.93 end
% 4.51/4.93
% 4.51/4.93 subsumption: (20096) {G29,W5,D2,L1,V3,M1} S(784);r(8435);r(9893) { cyclic(
% 4.51/4.93 Z, Y, X, X ) }.
% 4.51/4.93 parent0: (25450) {G3,W5,D2,L1,V3,M1} { cyclic( X, Y, Z, Z ) }.
% 4.51/4.93 substitution0:
% 4.51/4.93 X := Z
% 4.51/4.93 Y := Y
% 4.51/4.93 Z := X
% 4.51/4.93 end
% 4.51/4.93 permutation0:
% 4.51/4.93 0 ==> 0
% 4.51/4.93 end
% 4.51/4.93
% 4.51/4.93 resolution: (25451) {G2,W5,D2,L1,V3,M1} { cyclic( Y, Z, X, Z ) }.
% 4.51/4.93 parent0[0]: (367) {G1,W10,D2,L2,V4,M2} R(15,14) { ! cyclic( X, Y, Z, T ),
% 4.51/4.93 cyclic( Y, Z, X, T ) }.
% 4.51/4.93 parent1[0]: (20096) {G29,W5,D2,L1,V3,M1} S(784);r(8435);r(9893) { cyclic( Z
% 4.51/4.93 , Y, X, X ) }.
% 4.51/4.93 substitution0:
% 4.51/4.93 X := X
% 4.51/4.93 Y := Y
% 4.51/4.93 Z := Z
% 4.51/4.93 T := Z
% 4.51/4.93 end
% 4.51/4.93 substitution1:
% 4.51/4.93 X := Z
% 4.51/4.93 Y := Y
% 4.51/4.93 Z := X
% 4.51/4.93 end
% 4.51/4.93
% 4.51/4.93 subsumption: (20114) {G30,W5,D2,L1,V3,M1} R(20096,367) { cyclic( X, Y, Z, Y
% 4.51/4.93 ) }.
% 4.51/4.93 parent0: (25451) {G2,W5,D2,L1,V3,M1} { cyclic( Y, Z, X, Z ) }.
% 4.51/4.93 substitution0:
% 4.51/4.93 X := Z
% 4.51/4.93 Y := X
% 4.51/4.93 Z := Y
% 4.51/4.93 end
% 4.51/4.93 permutation0:
% 4.51/4.93 0 ==> 0
% 4.51/4.93 end
% 4.51/4.93
% 4.51/4.93 resolution: (25452) {G2,W5,D2,L1,V3,M1} { cyclic( X, Z, Z, Y ) }.
% 4.51/4.93 parent0[0]: (349) {G1,W10,D2,L2,V4,M2} R(14,13) { ! cyclic( X, Y, Z, T ),
% 4.51/4.93 cyclic( X, Z, T, Y ) }.
% 4.51/4.93 parent1[0]: (20096) {G29,W5,D2,L1,V3,M1} S(784);r(8435);r(9893) { cyclic( Z
% 4.51/4.93 , Y, X, X ) }.
% 4.51/4.93 substitution0:
% 4.51/4.93 X := X
% 4.51/4.93 Y := Y
% 4.51/4.93 Z := Z
% 4.51/4.93 T := Z
% 4.51/4.93 end
% 4.51/4.93 substitution1:
% 4.51/4.93 X := Z
% 4.51/4.93 Y := Y
% 4.51/4.93 Z := X
% 4.51/4.93 end
% 4.51/4.93
% 4.51/4.93 subsumption: (20116) {G30,W5,D2,L1,V3,M1} R(20096,349) { cyclic( X, Y, Y, Z
% 4.51/4.93 ) }.
% 4.51/4.93 parent0: (25452) {G2,W5,D2,L1,V3,M1} { cyclic( X, Z, Z, Y ) }.
% 4.51/4.93 substitution0:
% 4.51/4.93 X := X
% 4.51/4.93 Y := Z
% 4.51/4.93 Z := Y
% 4.51/4.93 end
% 4.51/4.93 permutation0:
% 4.51/4.93 0 ==> 0
% 4.51/4.93 end
% 4.51/4.93
% 4.51/4.93 resolution: (25454) {G2,W10,D2,L2,V4,M2} { ! cyclic( X, Y, Y, Z ), cyclic
% 4.51/4.93 ( Y, Y, Z, T ) }.
% 4.51/4.93 parent0[2]: (398) {G1,W15,D2,L3,V5,M3} R(16,13) { ! cyclic( X, Y, Z, T ),
% 4.51/4.93 cyclic( Y, Z, T, U ), ! cyclic( X, Y, U, Z ) }.
% 4.51/4.93 parent1[0]: (20114) {G30,W5,D2,L1,V3,M1} R(20096,367) { cyclic( X, Y, Z, Y
% 4.51/4.93 ) }.
% 4.51/4.93 substitution0:
% 4.51/4.93 X := X
% 4.51/4.93 Y := Y
% 4.51/4.93 Z := Y
% 4.51/4.93 T := Z
% 4.51/4.93 U := T
% 4.51/4.93 end
% 4.51/4.93 substitution1:
% 4.51/4.93 X := X
% 4.51/4.93 Y := Y
% 4.51/4.93 Z := T
% 4.51/4.93 end
% 4.51/4.93
% 4.51/4.93 resolution: (25455) {G3,W5,D2,L1,V3,M1} { cyclic( Y, Y, Z, T ) }.
% 4.51/4.93 parent0[0]: (25454) {G2,W10,D2,L2,V4,M2} { ! cyclic( X, Y, Y, Z ), cyclic
% 4.51/4.93 ( Y, Y, Z, T ) }.
% 4.51/4.93 parent1[0]: (20116) {G30,W5,D2,L1,V3,M1} R(20096,349) { cyclic( X, Y, Y, Z
% 4.51/4.93 ) }.
% 4.51/4.93 substitution0:
% 4.51/4.93 X := X
% 4.51/4.93 Y := Y
% 4.51/4.93 Z := Z
% 4.51/4.93 T := T
% 4.51/4.93 end
% 4.51/4.93 substitution1:
% 4.51/4.93 X := X
% 4.51/4.93 Y := Y
% 4.51/4.93 Z := Z
% 4.51/4.93 end
% 4.51/4.93
% 4.51/4.93 subsumption: (20121) {G31,W5,D2,L1,V3,M1} R(20114,398);r(20116) { cyclic( Y
% 4.51/4.93 , Y, Z, T ) }.
% 4.51/4.93 parent0: (25455) {G3,W5,D2,L1,V3,M1} { cyclic( Y, Y, Z, T ) }.
% 4.51/4.93 substitution0:
% 4.51/4.93 X := U
% 4.51/4.93 Y := Y
% 4.51/4.93 Z := Z
% 4.51/4.93 T := T
% 4.51/4.93 end
% 4.51/4.93 permutation0:
% 4.51/4.93 0 ==> 0
% 4.51/4.93 end
% 4.51/4.93
% 4.51/4.93 resolution: (25456) {G2,W10,D2,L2,V4,M2} { cyclic( X, Y, Z, T ), ! cyclic
% 4.51/4.93 ( X, X, T, Y ) }.
% 4.51/4.93 parent0[0]: (398) {G1,W15,D2,L3,V5,M3} R(16,13) { ! cyclic( X, Y, Z, T ),
% 4.51/4.93 cyclic( Y, Z, T, U ), ! cyclic( X, Y, U, Z ) }.
% 4.51/4.93 parent1[0]: (20121) {G31,W5,D2,L1,V3,M1} R(20114,398);r(20116) { cyclic( Y
% 4.51/4.93 , Y, Z, T ) }.
% 4.51/4.93 substitution0:
% 4.51/4.93 X := X
% 4.51/4.93 Y := X
% 4.51/4.93 Z := Y
% 4.51/4.93 T := Z
% 4.51/4.93 U := T
% 4.51/4.93 end
% 4.51/4.93 substitution1:
% 4.51/4.93 X := U
% 4.51/4.93 Y := X
% 4.51/4.93 Z := Y
% 4.51/4.93 T := Z
% 4.51/4.93 end
% 4.51/4.93
% 4.51/4.93 resolution: (25458) {G3,W5,D2,L1,V4,M1} { cyclic( X, Y, Z, T ) }.
% 4.51/4.93 parent0[1]: (25456) {G2,W10,D2,L2,V4,M2} { cyclic( X, Y, Z, T ), ! cyclic
% 4.51/4.93 ( X, X, T, Y ) }.
% 4.51/4.93 parent1[0]: (20121) {G31,W5,D2,L1,V3,M1} R(20114,398);r(20116) { cyclic( Y
% 4.51/4.93 , Y, Z, T ) }.
% 4.51/4.93 substitution0:
% 4.51/4.93 X := X
% 4.51/4.93 Y := Y
% 4.51/4.93 Z := Z
% 4.51/4.93 T := T
% 4.51/4.93 end
% 4.51/4.93 substitution1:
% 4.51/4.93 X := U
% 4.51/4.93 Y := X
% 4.51/4.93 Z := T
% 4.51/4.93 T := Y
% 4.51/4.93 end
% 4.51/4.93
% 4.51/4.93 subsumption: (20129) {G32,W5,D2,L1,V4,M1} R(20121,398);r(20121) { cyclic( X
% 4.51/4.93 , Y, Z, T ) }.
% 4.51/4.93 parent0: (25458) {G3,W5,D2,L1,V4,M1} { cyclic( X, Y, Z, T ) }.
% 4.51/4.93 substitution0:
% 4.51/4.93 X := X
% 4.51/4.93 Y := Y
% 4.51/4.93 Z := Z
% 4.51/4.93 T := T
% 4.51/4.93 end
% 4.51/4.93 permutation0:
% 4.51/4.93 0 ==> 0
% 4.51/4.93 end
% 4.51/4.93
% 4.51/4.93 resolution: (25459) {G6,W8,D3,L1,V0,M1} { ! para( skol24, skol23, skol22,
% 4.51/4.93 skol10( skol22, skol20, skol22 ) ) }.
% 4.51/4.93 parent0[1]: (426) {G5,W10,D2,L2,V2,M2} R(425,9) { ! para( skol24, skol23, X
% 4.51/4.93 , Y ), ! perp( X, Y, skol22, skol20 ) }.
% 4.51/4.93 parent1[0]: (7125) {G5,W8,D3,L1,V0,M1} R(7120,95);r(7098) { perp( skol22,
% 4.51/4.93 skol10( skol22, skol20, skol22 ), skol22, skol20 ) }.
% 4.51/4.93 substitution0:
% 4.51/4.93 X := skol22
% 4.51/4.93 Y := skol10( skol22, skol20, skol22 )
% 4.51/4.93 end
% 4.51/4.93 substitution1:
% 4.51/4.93 end
% 4.51/4.93
% 4.51/4.93 subsumption: (23124) {G6,W8,D3,L1,V0,M1} R(7125,426) { ! para( skol24,
% 4.51/4.93 skol23, skol22, skol10( skol22, skol20, skol22 ) ) }.
% 4.51/4.93 parent0: (25459) {G6,W8,D3,L1,V0,M1} { ! para( skol24, skol23, skol22,
% 4.51/4.93 skol10( skol22, skol20, skol22 ) ) }.
% 4.51/4.93 substitution0:
% 4.51/4.93 end
% 4.51/4.93 permutation0:
% 4.51/4.93 0 ==> 0
% 4.51/4.93 end
% 4.51/4.93
% 4.51/4.93 resolution: (25462) {G3,W10,D2,L2,V3,M2} { ! cyclic( X, Y, Z, Y ), cong( X
% 4.51/4.93 , Y, X, Y ) }.
% 4.51/4.93 parent0[0]: (941) {G2,W15,D2,L3,V3,M3} F(909) { ! cyclic( X, Y, Z, X ), !
% 4.51/4.93 cyclic( X, Y, Z, Y ), cong( X, Y, X, Y ) }.
% 4.51/4.93 parent1[0]: (20129) {G32,W5,D2,L1,V4,M1} R(20121,398);r(20121) { cyclic( X
% 4.51/4.93 , Y, Z, T ) }.
% 4.51/4.93 substitution0:
% 4.51/4.93 X := X
% 4.51/4.93 Y := Y
% 4.51/4.93 Z := Z
% 4.51/4.93 end
% 4.51/4.93 substitution1:
% 4.51/4.93 X := X
% 4.51/4.93 Y := Y
% 4.51/4.93 Z := Z
% 4.51/4.93 T := X
% 4.51/4.93 end
% 4.51/4.93
% 4.51/4.93 resolution: (25464) {G4,W5,D2,L1,V2,M1} { cong( X, Y, X, Y ) }.
% 4.51/4.93 parent0[0]: (25462) {G3,W10,D2,L2,V3,M2} { ! cyclic( X, Y, Z, Y ), cong( X
% 4.51/4.93 , Y, X, Y ) }.
% 4.51/4.93 parent1[0]: (20129) {G32,W5,D2,L1,V4,M1} R(20121,398);r(20121) { cyclic( X
% 4.51/4.93 , Y, Z, T ) }.
% 4.51/4.93 substitution0:
% 4.51/4.93 X := X
% 4.51/4.93 Y := Y
% 4.51/4.93 Z := Z
% 4.51/4.93 end
% 4.51/4.93 substitution1:
% 4.51/4.93 X := X
% 4.51/4.93 Y := Y
% 4.51/4.93 Z := Z
% 4.51/4.93 T := Y
% 4.51/4.93 end
% 4.51/4.93
% 4.51/4.93 subsumption: (24557) {G33,W5,D2,L1,V2,M1} S(941);r(20129);r(20129) { cong(
% 4.51/4.93 X, Y, X, Y ) }.
% 4.51/4.93 parent0: (25464) {G4,W5,D2,L1,V2,M1} { cong( X, Y, X, Y ) }.
% 4.51/4.93 substitution0:
% 4.51/4.93 X := X
% 4.51/4.93 Y := Y
% 4.51/4.93 end
% 4.51/4.93 permutation0:
% 4.51/4.93 0 ==> 0
% 4.51/4.93 end
% 4.51/4.93
% 4.51/4.93 resolution: (25465) {G1,W10,D2,L2,V3,M2} { ! cong( X, Z, X, Z ), perp( X,
% 4.51/4.93 X, Y, Z ) }.
% 4.51/4.93 parent0[0]: (56) {G0,W15,D2,L3,V4,M3} I { ! cong( X, Z, Y, Z ), ! cong( X,
% 4.51/4.93 T, Y, T ), perp( X, Y, Z, T ) }.
% 4.51/4.93 parent1[0]: (24557) {G33,W5,D2,L1,V2,M1} S(941);r(20129);r(20129) { cong( X
% 4.51/4.93 , Y, X, Y ) }.
% 4.51/4.93 substitution0:
% 4.51/4.93 X := X
% 4.51/4.93 Y := X
% 4.51/4.93 Z := Y
% 4.51/4.93 T := Z
% 4.51/4.93 end
% 4.51/4.93 substitution1:
% 4.51/4.93 X := X
% 4.51/4.93 Y := Y
% 4.51/4.93 end
% 4.51/4.93
% 4.51/4.93 resolution: (25467) {G2,W5,D2,L1,V3,M1} { perp( X, X, Z, Y ) }.
% 4.51/4.93 parent0[0]: (25465) {G1,W10,D2,L2,V3,M2} { ! cong( X, Z, X, Z ), perp( X,
% 4.51/4.93 X, Y, Z ) }.
% 4.51/4.93 parent1[0]: (24557) {G33,W5,D2,L1,V2,M1} S(941);r(20129);r(20129) { cong( X
% 4.51/4.93 , Y, X, Y ) }.
% 4.51/4.93 substitution0:
% 4.51/4.93 X := X
% 4.51/4.93 Y := Z
% 4.51/4.93 Z := Y
% 4.51/4.93 end
% 4.51/4.93 substitution1:
% 4.51/4.93 X := X
% 4.51/4.93 Y := Y
% 4.51/4.93 end
% 4.51/4.93
% 4.51/4.93 subsumption: (24567) {G34,W5,D2,L1,V3,M1} R(24557,56);r(24557) { perp( X, X
% 4.51/4.93 , Z, Y ) }.
% 4.51/4.93 parent0: (25467) {G2,W5,D2,L1,V3,M1} { perp( X, X, Z, Y ) }.
% 4.51/4.93 substitution0:
% 4.51/4.93 X := X
% 4.51/4.93 Y := Y
% 4.51/4.93 Z := Z
% 4.51/4.93 end
% 4.51/4.93 permutation0:
% 4.51/4.93 0 ==> 0
% 4.51/4.93 end
% 4.51/4.93
% 4.51/4.93 resolution: (25468) {G2,W10,D2,L2,V5,M2} { para( T, U, Y, Z ), ! perp( X,
% 4.51/4.93 X, T, U ) }.
% 4.51/4.93 parent0[0]: (277) {G1,W15,D2,L3,V6,M3} R(8,7) { ! perp( X, Y, Z, T ), para
% 4.51/4.93 ( U, W, Z, T ), ! perp( X, Y, U, W ) }.
% 4.51/4.93 parent1[0]: (24567) {G34,W5,D2,L1,V3,M1} R(24557,56);r(24557) { perp( X, X
% 4.51/4.93 , Z, Y ) }.
% 4.51/4.93 substitution0:
% 4.51/4.93 X := X
% 4.51/4.93 Y := X
% 4.51/4.93 Z := Y
% 4.51/4.93 T := Z
% 4.51/4.93 U := T
% 4.51/4.93 W := U
% 4.51/4.93 end
% 4.51/4.93 substitution1:
% 4.51/4.93 X := X
% 4.51/4.93 Y := Z
% 4.51/4.93 Z := Y
% 4.51/4.93 end
% 4.51/4.93
% 4.51/4.93 resolution: (25470) {G3,W5,D2,L1,V4,M1} { para( X, Y, Z, T ) }.
% 4.51/4.93 parent0[1]: (25468) {G2,W10,D2,L2,V5,M2} { para( T, U, Y, Z ), ! perp( X,
% 4.51/4.93 X, T, U ) }.
% 4.51/4.93 parent1[0]: (24567) {G34,W5,D2,L1,V3,M1} R(24557,56);r(24557) { perp( X, X
% 4.51/4.93 , Z, Y ) }.
% 4.51/4.93 substitution0:
% 4.51/4.93 X := U
% 4.51/4.93 Y := Z
% 4.51/4.93 Z := T
% 4.51/4.93 T := X
% 4.51/4.93 U := Y
% 4.51/4.93 end
% 4.51/4.93 substitution1:
% 4.51/4.93 X := U
% 4.51/4.93 Y := Y
% 4.51/4.93 Z := X
% 4.51/4.93 end
% 4.51/4.93
% 4.51/4.93 subsumption: (24604) {G35,W5,D2,L1,V4,M1} R(24567,277);r(24567) { para( X,
% 4.51/4.93 Y, Z, T ) }.
% 4.51/4.93 parent0: (25470) {G3,W5,D2,L1,V4,M1} { para( X, Y, Z, T ) }.
% 4.51/4.93 substitution0:
% 4.51/4.93 X := X
% 4.51/4.93 Y := Y
% 4.51/4.93 Z := Z
% 4.51/4.93 T := T
% 4.51/4.93 end
% 4.51/4.93 permutation0:
% 4.51/4.93 0 ==> 0
% 4.51/4.93 end
% 4.51/4.93
% 4.51/4.93 resolution: (25471) {G7,W0,D0,L0,V0,M0} { }.
% 4.51/4.93 parent0[0]: (23124) {G6,W8,D3,L1,V0,M1} R(7125,426) { ! para( skol24,
% 4.51/4.93 skol23, skol22, skol10( skol22, skol20, skol22 ) ) }.
% 4.51/4.93 parent1[0]: (24604) {G35,W5,D2,L1,V4,M1} R(24567,277);r(24567) { para( X, Y
% 4.51/4.93 , Z, T ) }.
% 4.51/4.93 substitution0:
% 4.51/4.93 end
% 4.51/4.93 substitution1:
% 4.51/4.93 X := skol24
% 4.51/4.93 Y := skol23
% 4.51/4.93 Z := skol22
% 4.51/4.93 T := skol10( skol22, skol20, skol22 )
% 4.51/4.93 end
% 4.51/4.93
% 4.51/4.93 subsumption: (24615) {G36,W0,D0,L0,V0,M0} R(24604,23124) { }.
% 4.51/4.93 parent0: (25471) {G7,W0,D0,L0,V0,M0} { }.
% 4.51/4.93 substitution0:
% 4.51/4.93 end
% 4.51/4.93 permutation0:
% 4.51/4.93 end
% 4.51/4.93
% 4.51/4.93 Proof check complete!
% 4.51/4.93
% 4.51/4.93 Memory use:
% 4.51/4.93
% 4.51/4.93 space for terms: 389227
% 4.51/4.93 space for clauses: 1284572
% 4.51/4.93
% 4.51/4.93
% 4.51/4.93 clauses generated: 141252
% 4.51/4.93 clauses kept: 24616
% 4.51/4.93 clauses selected: 2159
% 4.51/4.93 clauses deleted: 6831
% 4.51/4.93 clauses inuse deleted: 659
% 4.51/4.93
% 4.51/4.93 subsentry: 2133002
% 4.51/4.93 literals s-matched: 1379083
% 4.51/4.93 literals matched: 780184
% 4.51/4.93 full subsumption: 308946
% 4.51/4.93
% 4.51/4.93 checksum: 1857220202
% 4.51/4.93
% 4.51/4.93
% 4.51/4.93 Bliksem ended
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