TSTP Solution File: GEO588+1 by Bliksem---1.12
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- Process Solution
%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : GEO588+1 : TPTP v8.1.0. Released v7.5.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n011.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 02:54:55 EDT 2022
% Result : Theorem 4.15s 4.53s
% Output : Refutation 4.15s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : GEO588+1 : TPTP v8.1.0. Released v7.5.0.
% 0.07/0.13 % Command : bliksem %s
% 0.13/0.34 % Computer : n011.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 : Fri Jun 17 15:43:07 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.81/1.18 *** allocated 10000 integers for termspace/termends
% 0.81/1.18 *** allocated 10000 integers for clauses
% 0.81/1.18 *** allocated 10000 integers for justifications
% 0.81/1.18 Bliksem 1.12
% 0.81/1.18
% 0.81/1.18
% 0.81/1.18 Automatic Strategy Selection
% 0.81/1.18
% 0.81/1.18 *** allocated 15000 integers for termspace/termends
% 0.81/1.18
% 0.81/1.18 Clauses:
% 0.81/1.18
% 0.81/1.18 { ! coll( X, Y, Z ), coll( X, Z, Y ) }.
% 0.81/1.18 { ! coll( X, Y, Z ), coll( Y, X, Z ) }.
% 0.81/1.18 { ! coll( X, T, Y ), ! coll( X, T, Z ), coll( Y, Z, X ) }.
% 0.81/1.18 { ! para( X, Y, Z, T ), para( X, Y, T, Z ) }.
% 0.81/1.18 { ! para( X, Y, Z, T ), para( Z, T, X, Y ) }.
% 0.81/1.18 { ! para( X, Y, U, W ), ! para( U, W, Z, T ), para( X, Y, Z, T ) }.
% 0.81/1.18 { ! perp( X, Y, Z, T ), perp( X, Y, T, Z ) }.
% 0.81/1.18 { ! perp( X, Y, Z, T ), perp( Z, T, X, Y ) }.
% 0.81/1.18 { ! perp( X, Y, U, W ), ! perp( U, W, Z, T ), para( X, Y, Z, T ) }.
% 0.81/1.18 { ! para( X, Y, U, W ), ! perp( U, W, Z, T ), perp( X, Y, Z, T ) }.
% 0.81/1.18 { ! midp( Z, Y, X ), midp( Z, X, Y ) }.
% 0.81/1.18 { ! cong( T, X, T, Y ), ! cong( T, X, T, Z ), circle( T, X, Y, Z ) }.
% 0.81/1.18 { ! cong( U, X, U, Y ), ! cong( U, X, U, Z ), ! cong( U, X, U, T ), cyclic
% 0.81/1.18 ( X, Y, Z, T ) }.
% 0.81/1.18 { ! cyclic( X, Y, Z, T ), cyclic( X, Y, T, Z ) }.
% 0.81/1.18 { ! cyclic( X, Y, Z, T ), cyclic( X, Z, Y, T ) }.
% 0.81/1.18 { ! cyclic( X, Y, Z, T ), cyclic( Y, X, Z, T ) }.
% 0.81/1.18 { ! cyclic( U, X, Y, Z ), ! cyclic( U, X, Y, T ), cyclic( X, Y, Z, T ) }.
% 0.81/1.18 { ! eqangle( X, Y, Z, T, U, W, V0, V1 ), eqangle( Y, X, Z, T, U, W, V0, V1
% 0.81/1.18 ) }.
% 0.81/1.18 { ! eqangle( X, Y, Z, T, U, W, V0, V1 ), eqangle( Z, T, X, Y, V0, V1, U, W
% 0.81/1.18 ) }.
% 0.81/1.18 { ! eqangle( X, Y, Z, T, U, W, V0, V1 ), eqangle( U, W, V0, V1, X, Y, Z, T
% 0.81/1.18 ) }.
% 0.81/1.18 { ! eqangle( X, Y, Z, T, U, W, V0, V1 ), eqangle( X, Y, U, W, Z, T, V0, V1
% 0.81/1.18 ) }.
% 0.81/1.18 { ! eqangle( X, Y, Z, T, V2, V3, V4, V5 ), ! eqangle( V2, V3, V4, V5, U, W
% 0.81/1.18 , V0, V1 ), eqangle( X, Y, Z, T, U, W, V0, V1 ) }.
% 0.81/1.18 { ! cong( X, Y, Z, T ), cong( X, Y, T, Z ) }.
% 0.81/1.18 { ! cong( X, Y, Z, T ), cong( Z, T, X, Y ) }.
% 0.81/1.18 { ! cong( X, Y, U, W ), ! cong( U, W, Z, T ), cong( X, Y, Z, T ) }.
% 0.81/1.18 { ! eqratio( X, Y, Z, T, U, W, V0, V1 ), eqratio( Y, X, Z, T, U, W, V0, V1
% 0.81/1.18 ) }.
% 0.81/1.18 { ! eqratio( X, Y, Z, T, U, W, V0, V1 ), eqratio( Z, T, X, Y, V0, V1, U, W
% 0.81/1.18 ) }.
% 0.81/1.18 { ! eqratio( X, Y, Z, T, U, W, V0, V1 ), eqratio( U, W, V0, V1, X, Y, Z, T
% 0.81/1.18 ) }.
% 0.81/1.18 { ! eqratio( X, Y, Z, T, U, W, V0, V1 ), eqratio( X, Y, U, W, Z, T, V0, V1
% 0.81/1.18 ) }.
% 0.81/1.18 { ! eqratio( X, Y, Z, T, V2, V3, V4, V5 ), ! eqratio( V2, V3, V4, V5, U, W
% 0.81/1.18 , V0, V1 ), eqratio( X, Y, Z, T, U, W, V0, V1 ) }.
% 0.81/1.18 { ! simtri( X, Z, Y, T, W, U ), simtri( X, Y, Z, T, U, W ) }.
% 0.81/1.18 { ! simtri( Y, X, Z, U, T, W ), simtri( X, Y, Z, T, U, W ) }.
% 0.81/1.18 { ! simtri( T, U, W, X, Y, Z ), simtri( X, Y, Z, T, U, W ) }.
% 0.81/1.18 { ! simtri( X, Y, Z, V0, V1, V2 ), ! simtri( V0, V1, V2, T, U, W ), simtri
% 0.81/1.18 ( X, Y, Z, T, U, W ) }.
% 0.81/1.18 { ! contri( X, Z, Y, T, W, U ), contri( X, Y, Z, T, U, W ) }.
% 0.81/1.18 { ! contri( Y, X, Z, U, T, W ), contri( X, Y, Z, T, U, W ) }.
% 0.81/1.18 { ! contri( T, U, W, X, Y, Z ), contri( X, Y, Z, T, U, W ) }.
% 0.81/1.18 { ! contri( X, Y, Z, V0, V1, V2 ), ! contri( V0, V1, V2, T, U, W ), contri
% 0.81/1.18 ( X, Y, Z, T, U, W ) }.
% 0.81/1.18 { ! eqangle( X, Y, U, W, Z, T, U, W ), para( X, Y, Z, T ) }.
% 0.81/1.18 { ! para( X, Y, Z, T ), eqangle( X, Y, U, W, Z, T, U, W ) }.
% 0.81/1.18 { ! cyclic( X, Y, Z, T ), eqangle( Z, X, Z, Y, T, X, T, Y ) }.
% 0.81/1.18 { ! eqangle( Z, X, Z, Y, T, X, T, Y ), coll( Z, T, X ), cyclic( X, Y, Z, T
% 0.81/1.18 ) }.
% 0.81/1.18 { ! eqangle( Z, X, Z, Y, T, X, T, Y ), ! coll( Z, T, Y ), cyclic( X, Y, Z,
% 0.81/1.18 T ) }.
% 0.81/1.18 { ! cyclic( X, Y, U, Z ), ! cyclic( X, Y, U, T ), ! cyclic( X, Y, U, W ), !
% 0.81/1.18 eqangle( U, X, U, Y, W, Z, W, T ), cong( X, Y, Z, T ) }.
% 0.81/1.18 { ! midp( Z, U, X ), ! midp( T, U, Y ), para( Z, T, X, Y ) }.
% 0.81/1.18 { ! midp( U, X, T ), ! para( U, Z, T, Y ), ! coll( Z, X, Y ), midp( Z, X, Y
% 0.81/1.18 ) }.
% 0.81/1.18 { ! cong( Z, X, Z, Y ), eqangle( Z, X, X, Y, X, Y, Z, Y ) }.
% 0.81/1.18 { ! eqangle( Z, X, X, Y, X, Y, Z, Y ), coll( Z, X, Y ), cong( Z, X, Z, Y )
% 0.81/1.18 }.
% 0.81/1.18 { ! circle( U, X, Y, Z ), ! perp( U, X, X, T ), eqangle( X, T, X, Y, Z, X,
% 0.81/1.18 Z, Y ) }.
% 0.81/1.18 { ! circle( Y, X, T, U ), ! eqangle( X, Z, X, T, U, X, U, T ), perp( Y, X,
% 0.81/1.18 X, Z ) }.
% 0.81/1.18 { ! circle( T, X, Y, Z ), ! midp( U, Y, Z ), eqangle( X, Y, X, Z, T, Y, T,
% 0.81/1.18 U ) }.
% 0.81/1.18 { ! circle( U, T, X, Y ), ! coll( Z, X, Y ), ! eqangle( T, X, T, Y, U, X, U
% 0.81/1.18 , Z ), midp( Z, X, Y ) }.
% 0.81/1.18 { ! perp( X, Y, Y, T ), ! midp( Z, X, T ), cong( X, Z, Y, Z ) }.
% 0.81/1.18 { ! circle( T, X, Y, Z ), ! coll( T, X, Z ), perp( X, Y, Y, Z ) }.
% 0.81/1.18 { ! cyclic( X, Y, Z, T ), ! para( X, Y, Z, T ), eqangle( X, T, Z, T, Z, T,
% 0.81/1.18 Z, Y ) }.
% 0.81/1.18 { ! midp( T, X, Y ), ! perp( Z, T, X, Y ), cong( Z, X, Z, Y ) }.
% 0.81/1.18 { ! cong( X, Z, Y, Z ), ! cong( X, T, Y, T ), perp( X, Y, Z, T ) }.
% 0.81/1.18 { ! cong( X, Y, T, Y ), ! cong( X, Z, T, Z ), ! cyclic( X, T, Y, Z ), perp
% 0.81/1.18 ( Y, X, X, Z ) }.
% 0.81/1.18 { ! eqangle( X, Y, Y, Z, T, U, U, W ), ! eqangle( X, Z, Y, Z, T, W, U, W )
% 0.81/1.18 , coll( X, Y, Z ), simtri( X, Y, Z, T, U, W ) }.
% 0.81/1.18 { ! simtri( X, Y, Z, T, U, W ), eqratio( X, Y, X, Z, T, U, T, W ) }.
% 0.81/1.18 { ! simtri( X, Y, Z, T, U, W ), eqangle( X, Y, Y, Z, T, U, U, W ) }.
% 0.81/1.18 { ! simtri( X, Y, Z, T, U, W ), ! cong( X, Y, T, U ), contri( X, Y, Z, T, U
% 0.81/1.18 , W ) }.
% 0.81/1.18 { ! contri( X, Y, U, Z, T, W ), cong( X, Y, Z, T ) }.
% 0.81/1.18 { ! midp( U, X, Y ), ! midp( U, Z, T ), para( X, Z, Y, T ) }.
% 0.81/1.18 { ! midp( Z, T, U ), ! para( T, X, U, Y ), ! para( T, Y, U, X ), midp( Z, X
% 0.81/1.18 , Y ) }.
% 0.81/1.18 { ! para( X, Y, Z, T ), ! coll( U, X, Z ), ! coll( U, Y, T ), eqratio( U, X
% 0.81/1.18 , X, Z, U, Y, Y, T ) }.
% 0.81/1.18 { ! para( X, Y, X, Z ), coll( X, Y, Z ) }.
% 0.81/1.18 { ! cong( X, Y, X, Z ), ! coll( X, Y, Z ), midp( X, Y, Z ) }.
% 0.81/1.18 { ! midp( X, Y, Z ), cong( X, Y, X, Z ) }.
% 0.81/1.18 { ! midp( X, Y, Z ), coll( X, Y, Z ) }.
% 0.81/1.18 { ! midp( U, X, Y ), ! midp( W, Z, T ), eqratio( U, X, X, Y, W, Z, Z, T ) }
% 0.81/1.18 .
% 0.81/1.18 { ! eqangle( X, Y, Z, T, Z, T, X, Y ), para( X, Y, Z, T ), perp( X, Y, Z, T
% 0.81/1.18 ) }.
% 0.81/1.18 { ! eqangle( X, Y, Z, T, Z, T, X, Y ), perp( X, Y, Z, T ), para( X, Y, Z, T
% 0.81/1.18 ) }.
% 0.81/1.18 { ! eqangle( X, Y, Z, T, U, W, V0, V1 ), ! para( U, W, V0, V1 ), para( X, Y
% 0.81/1.18 , Z, T ) }.
% 0.81/1.18 { ! eqangle( X, Y, Z, T, U, W, V0, V1 ), ! perp( U, W, V0, V1 ), perp( X, Y
% 0.81/1.18 , Z, T ) }.
% 0.81/1.18 { ! eqratio( X, Y, Z, T, U, W, V0, V1 ), ! cong( U, W, V0, V1 ), cong( X, Y
% 0.81/1.18 , Z, T ) }.
% 0.81/1.18 { ! perp( Z, Y, Y, X ), ! eqangle( T, Z, Y, Z, Y, Z, X, Z ), coll( skol1( U
% 0.81/1.18 , W, Z, T ), Z, T ) }.
% 0.81/1.18 { ! perp( Z, Y, Y, X ), ! eqangle( T, Z, Y, Z, Y, Z, X, Z ), coll( skol1( X
% 0.81/1.18 , Y, Z, T ), X, Y ) }.
% 0.81/1.18 { ! cong( Z, X, Z, Y ), ! eqangle( X, Z, Z, T, Z, T, Z, Y ), coll( skol2( U
% 0.81/1.18 , W, Z, T ), Z, T ) }.
% 0.81/1.18 { ! cong( Z, X, Z, Y ), ! eqangle( X, Z, Z, T, Z, T, Z, Y ), coll( Y, X,
% 0.81/1.18 skol2( X, Y, Z, T ) ) }.
% 0.81/1.18 { ! perp( Z, T, X, Y ), ! eqangle( X, Z, Z, T, Z, T, Z, Y ), coll( skol3( U
% 0.81/1.18 , W, Z, T ), Z, T ) }.
% 0.81/1.18 { ! perp( Z, T, X, Y ), ! eqangle( X, Z, Z, T, Z, T, Z, Y ), coll( Y, X,
% 0.81/1.18 skol3( X, Y, Z, T ) ) }.
% 0.81/1.18 { ! perp( Z, T, X, Y ), ! cong( Z, X, Z, Y ), coll( skol4( U, W, Z, T ), Z
% 0.81/1.18 , T ) }.
% 0.81/1.18 { ! perp( Z, T, X, Y ), ! cong( Z, X, Z, Y ), coll( Y, X, skol4( X, Y, Z, T
% 0.81/1.18 ) ) }.
% 0.81/1.18 { ! eqangle( X, Z, Y, Z, X, T, Y, U ), coll( X, Y, Z ), cyclic( T, Y, Z,
% 0.81/1.18 skol5( W, Y, Z, T ) ) }.
% 0.81/1.18 { ! eqangle( X, Z, Y, Z, X, T, Y, U ), coll( X, Y, Z ), eqangle( X, Z, Y, Z
% 0.81/1.18 , X, skol5( X, Y, Z, T ), Y, skol5( X, Y, Z, T ) ) }.
% 0.81/1.18 { ! midp( U, X, Y ), ! midp( W, Z, T ), midp( skol6( X, V0, V1, T, V2, V3 )
% 0.81/1.18 , X, T ) }.
% 0.81/1.18 { ! midp( U, X, Y ), ! midp( W, Z, T ), para( skol6( X, V0, Z, T, V1, W ),
% 0.81/1.18 W, X, Z ) }.
% 0.81/1.18 { ! midp( U, X, Y ), ! midp( W, Z, T ), para( skol6( X, Y, Z, T, U, W ), U
% 0.81/1.18 , Y, T ) }.
% 0.81/1.18 { ! midp( Z, X, Y ), ! midp( W, T, U ), ! coll( T, X, Y ), ! coll( U, X, Y
% 0.81/1.18 ), midp( skol7( X, V0 ), X, V0 ) }.
% 0.81/1.18 { ! midp( T, X, U ), ! para( X, W, Z, T ), ! para( X, W, U, Y ), ! coll( W
% 0.81/1.18 , Y, Z ), coll( skol8( V0, V1, Z, T ), T, Z ) }.
% 0.81/1.18 { ! midp( T, X, U ), ! para( X, W, Z, T ), ! para( X, W, U, Y ), ! coll( W
% 0.81/1.18 , Y, Z ), coll( skol8( X, Y, Z, T ), X, Y ) }.
% 0.81/1.18 { ! cong( T, Z, T, U ), ! perp( X, Y, Y, T ), cong( T, Z, T, skol9( W, V0,
% 0.81/1.18 Z, T ) ) }.
% 0.81/1.18 { ! cong( T, Z, T, U ), ! perp( X, Y, Y, T ), cong( Y, Z, Y, skol9( W, Y, Z
% 0.81/1.18 , T ) ) }.
% 0.81/1.18 { ! cong( T, Z, T, U ), ! perp( X, Y, Y, T ), para( skol9( X, Y, Z, T ), Z
% 0.81/1.18 , X, Y ) }.
% 0.81/1.18 { ! perp( X, T, Y, Z ), ! perp( Y, T, X, Z ), coll( skol10( U, Y, Z ), Z, Y
% 0.81/1.18 ) }.
% 0.81/1.18 { ! perp( X, T, Y, Z ), ! perp( Y, T, X, Z ), perp( X, skol10( X, Y, Z ), Z
% 0.81/1.18 , Y ) }.
% 0.81/1.18 { ! perp( X, T, Y, Z ), ! perp( Y, T, X, Z ), alpha1( X, Y, Z ) }.
% 0.81/1.18 { ! alpha1( X, Y, Z ), coll( skol11( X, T, Z ), Z, X ) }.
% 0.81/1.18 { ! alpha1( X, Y, Z ), perp( Y, skol11( X, Y, Z ), Z, X ) }.
% 0.81/1.18 { ! coll( T, Z, X ), ! perp( Y, T, Z, X ), alpha1( X, Y, Z ) }.
% 0.81/1.18 { ! circle( Y, X, Z, T ), perp( skol12( X, Y ), X, X, Y ) }.
% 4.15/4.53 { ! circle( W, X, Y, Z ), ! cong( W, X, W, T ), ! cong( U, X, U, Y ), W = U
% 4.15/4.53 , alpha2( X, Z, U, skol13( X, V0, Z, V1, U ) ) }.
% 4.15/4.53 { ! circle( W, X, Y, Z ), ! cong( W, X, W, T ), ! cong( U, X, U, Y ), W = U
% 4.15/4.53 , coll( skol21( V0, Y, T, V1 ), Y, T ) }.
% 4.15/4.53 { ! circle( W, X, Y, Z ), ! cong( W, X, W, T ), ! cong( U, X, U, Y ), W = U
% 4.15/4.53 , cong( skol21( X, Y, T, U ), U, U, X ) }.
% 4.15/4.53 { ! alpha2( X, Y, Z, T ), coll( T, X, Y ) }.
% 4.15/4.53 { ! alpha2( X, Y, Z, T ), cong( T, Z, Z, X ) }.
% 4.15/4.53 { ! coll( T, X, Y ), ! cong( T, Z, Z, X ), alpha2( X, Y, Z, T ) }.
% 4.15/4.53 { ! cyclic( X, Y, Z, T ), ! para( X, Y, Z, T ), ! midp( U, X, Y ), circle(
% 4.15/4.53 skol14( X, Y, Z ), X, Y, Z ) }.
% 4.15/4.53 { ! perp( X, Z, Z, Y ), ! cyclic( X, Y, Z, T ), circle( skol15( X, Y, Z ),
% 4.15/4.53 X, Y, Z ) }.
% 4.15/4.53 { ! perp( X, U, U, T ), ! coll( T, Y, Z ), coll( skol16( W, Y, Z ), Y, Z )
% 4.15/4.53 }.
% 4.15/4.53 { ! perp( X, U, U, T ), ! coll( T, Y, Z ), perp( skol16( X, Y, Z ), X, Y, Z
% 4.15/4.53 ) }.
% 4.15/4.53 { ! perp( X, Z, X, Y ), ! perp( Y, X, Y, T ), ! midp( U, Z, T ), midp(
% 4.15/4.53 skol17( X, Y ), X, Y ) }.
% 4.15/4.53 { ! cong( Y, X, Y, Z ), ! perp( X, Y, Y, Z ), coll( X, Y, skol18( X, Y ) )
% 4.15/4.53 }.
% 4.15/4.53 { ! cong( Y, X, Y, Z ), ! perp( X, Y, Y, Z ), cong( Y, X, Y, skol18( X, Y )
% 4.15/4.53 ) }.
% 4.15/4.53 { ! para( U, W, X, Y ), ! coll( Z, U, X ), ! coll( Z, W, Y ), ! coll( T, U
% 4.15/4.53 , W ), coll( Z, T, skol19( V0, V1, Z, T ) ) }.
% 4.15/4.53 { ! para( U, W, X, Y ), ! coll( Z, U, X ), ! coll( Z, W, Y ), ! coll( T, U
% 4.15/4.53 , W ), coll( skol19( X, Y, Z, T ), X, Y ) }.
% 4.15/4.53 { coll( skol20, skol25, skol26 ) }.
% 4.15/4.53 { perp( skol25, skol26, skol20, skol27 ) }.
% 4.15/4.53 { circle( skol22, skol25, skol26, skol27 ) }.
% 4.15/4.53 { circle( skol22, skol27, skol28, skol29 ) }.
% 4.15/4.53 { coll( skol28, skol27, skol20 ) }.
% 4.15/4.53 { midp( skol23, skol27, skol25 ) }.
% 4.15/4.53 { midp( skol24, skol28, skol26 ) }.
% 4.15/4.53 { coll( skol30, skol20, skol22 ) }.
% 4.15/4.53 { coll( skol30, skol23, skol24 ) }.
% 4.15/4.53 { ! para( skol23, skol22, skol20, skol24 ) }.
% 4.15/4.53
% 4.15/4.53 percentage equality = 0.008721, percentage horn = 0.928571
% 4.15/4.53 This is a problem with some equality
% 4.15/4.53
% 4.15/4.53
% 4.15/4.53
% 4.15/4.53 Options Used:
% 4.15/4.53
% 4.15/4.53 useres = 1
% 4.15/4.53 useparamod = 1
% 4.15/4.53 useeqrefl = 1
% 4.15/4.53 useeqfact = 1
% 4.15/4.53 usefactor = 1
% 4.15/4.53 usesimpsplitting = 0
% 4.15/4.53 usesimpdemod = 5
% 4.15/4.53 usesimpres = 3
% 4.15/4.53
% 4.15/4.53 resimpinuse = 1000
% 4.15/4.53 resimpclauses = 20000
% 4.15/4.53 substype = eqrewr
% 4.15/4.53 backwardsubs = 1
% 4.15/4.53 selectoldest = 5
% 4.15/4.53
% 4.15/4.53 litorderings [0] = split
% 4.15/4.53 litorderings [1] = extend the termordering, first sorting on arguments
% 4.15/4.53
% 4.15/4.53 termordering = kbo
% 4.15/4.53
% 4.15/4.53 litapriori = 0
% 4.15/4.53 termapriori = 1
% 4.15/4.53 litaposteriori = 0
% 4.15/4.53 termaposteriori = 0
% 4.15/4.53 demodaposteriori = 0
% 4.15/4.53 ordereqreflfact = 0
% 4.15/4.53
% 4.15/4.53 litselect = negord
% 4.15/4.53
% 4.15/4.53 maxweight = 15
% 4.15/4.53 maxdepth = 30000
% 4.15/4.53 maxlength = 115
% 4.15/4.53 maxnrvars = 195
% 4.15/4.53 excuselevel = 1
% 4.15/4.53 increasemaxweight = 1
% 4.15/4.53
% 4.15/4.53 maxselected = 10000000
% 4.15/4.53 maxnrclauses = 10000000
% 4.15/4.53
% 4.15/4.53 showgenerated = 0
% 4.15/4.53 showkept = 0
% 4.15/4.53 showselected = 0
% 4.15/4.53 showdeleted = 0
% 4.15/4.53 showresimp = 1
% 4.15/4.53 showstatus = 2000
% 4.15/4.53
% 4.15/4.53 prologoutput = 0
% 4.15/4.53 nrgoals = 5000000
% 4.15/4.53 totalproof = 1
% 4.15/4.53
% 4.15/4.53 Symbols occurring in the translation:
% 4.15/4.53
% 4.15/4.53 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 4.15/4.53 . [1, 2] (w:1, o:41, a:1, s:1, b:0),
% 4.15/4.53 ! [4, 1] (w:0, o:36, a:1, s:1, b:0),
% 4.15/4.53 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 4.15/4.53 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 4.15/4.53 coll [38, 3] (w:1, o:69, a:1, s:1, b:0),
% 4.15/4.53 para [40, 4] (w:1, o:77, a:1, s:1, b:0),
% 4.15/4.53 perp [43, 4] (w:1, o:78, a:1, s:1, b:0),
% 4.15/4.53 midp [45, 3] (w:1, o:70, a:1, s:1, b:0),
% 4.15/4.53 cong [47, 4] (w:1, o:79, a:1, s:1, b:0),
% 4.15/4.53 circle [48, 4] (w:1, o:80, a:1, s:1, b:0),
% 4.15/4.53 cyclic [49, 4] (w:1, o:81, a:1, s:1, b:0),
% 4.15/4.53 eqangle [54, 8] (w:1, o:96, a:1, s:1, b:0),
% 4.15/4.53 eqratio [57, 8] (w:1, o:97, a:1, s:1, b:0),
% 4.15/4.53 simtri [59, 6] (w:1, o:93, a:1, s:1, b:0),
% 4.15/4.53 contri [60, 6] (w:1, o:94, a:1, s:1, b:0),
% 4.15/4.53 alpha1 [66, 3] (w:1, o:71, a:1, s:1, b:1),
% 4.15/4.53 alpha2 [67, 4] (w:1, o:82, a:1, s:1, b:1),
% 4.15/4.53 skol1 [68, 4] (w:1, o:83, a:1, s:1, b:1),
% 4.15/4.53 skol2 [69, 4] (w:1, o:85, a:1, s:1, b:1),
% 4.15/4.53 skol3 [70, 4] (w:1, o:87, a:1, s:1, b:1),
% 4.15/4.53 skol4 [71, 4] (w:1, o:88, a:1, s:1, b:1),
% 4.15/4.53 skol5 [72, 4] (w:1, o:89, a:1, s:1, b:1),
% 4.15/4.53 skol6 [73, 6] (w:1, o:95, a:1, s:1, b:1),
% 4.15/4.53 skol7 [74, 2] (w:1, o:65, a:1, s:1, b:1),
% 4.15/4.53 skol8 [75, 4] (w:1, o:90, a:1, s:1, b:1),
% 4.15/4.53 skol9 [76, 4] (w:1, o:91, a:1, s:1, b:1),
% 4.15/4.53 skol10 [77, 3] (w:1, o:72, a:1, s:1, b:1),
% 4.15/4.53 skol11 [78, 3] (w:1, o:73, a:1, s:1, b:1),
% 4.15/4.53 skol12 [79, 2] (w:1, o:66, a:1, s:1, b:1),
% 4.15/4.53 skol13 [80, 5] (w:1, o:92, a:1, s:1, b:1),
% 4.15/4.53 skol14 [81, 3] (w:1, o:74, a:1, s:1, b:1),
% 4.15/4.53 skol15 [82, 3] (w:1, o:75, a:1, s:1, b:1),
% 4.15/4.53 skol16 [83, 3] (w:1, o:76, a:1, s:1, b:1),
% 4.15/4.53 skol17 [84, 2] (w:1, o:67, a:1, s:1, b:1),
% 4.15/4.53 skol18 [85, 2] (w:1, o:68, a:1, s:1, b:1),
% 4.15/4.53 skol19 [86, 4] (w:1, o:84, a:1, s:1, b:1),
% 4.15/4.53 skol20 [87, 0] (w:1, o:26, a:1, s:1, b:1),
% 4.15/4.53 skol21 [88, 4] (w:1, o:86, a:1, s:1, b:1),
% 4.15/4.53 skol22 [89, 0] (w:1, o:27, a:1, s:1, b:1),
% 4.15/4.53 skol23 [90, 0] (w:1, o:28, a:1, s:1, b:1),
% 4.15/4.53 skol24 [91, 0] (w:1, o:29, a:1, s:1, b:1),
% 4.15/4.53 skol25 [92, 0] (w:1, o:30, a:1, s:1, b:1),
% 4.15/4.53 skol26 [93, 0] (w:1, o:31, a:1, s:1, b:1),
% 4.15/4.53 skol27 [94, 0] (w:1, o:32, a:1, s:1, b:1),
% 4.15/4.53 skol28 [95, 0] (w:1, o:33, a:1, s:1, b:1),
% 4.15/4.53 skol29 [96, 0] (w:1, o:34, a:1, s:1, b:1),
% 4.15/4.53 skol30 [97, 0] (w:1, o:35, a:1, s:1, b:1).
% 4.15/4.53
% 4.15/4.53
% 4.15/4.53 Starting Search:
% 4.15/4.53
% 4.15/4.53 *** allocated 15000 integers for clauses
% 4.15/4.53 *** allocated 22500 integers for clauses
% 4.15/4.53 *** allocated 33750 integers for clauses
% 4.15/4.53 *** allocated 50625 integers for clauses
% 4.15/4.53 *** allocated 22500 integers for termspace/termends
% 4.15/4.53 *** allocated 75937 integers for clauses
% 4.15/4.53 Resimplifying inuse:
% 4.15/4.53 Done
% 4.15/4.53
% 4.15/4.53 *** allocated 33750 integers for termspace/termends
% 4.15/4.53 *** allocated 113905 integers for clauses
% 4.15/4.53 *** allocated 50625 integers for termspace/termends
% 4.15/4.53
% 4.15/4.53 Intermediate Status:
% 4.15/4.53 Generated: 9612
% 4.15/4.53 Kept: 2029
% 4.15/4.53 Inuse: 321
% 4.15/4.53 Deleted: 0
% 4.15/4.53 Deletedinuse: 0
% 4.15/4.53
% 4.15/4.53 Resimplifying inuse:
% 4.15/4.53 Done
% 4.15/4.53
% 4.15/4.53 *** allocated 170857 integers for clauses
% 4.15/4.53 *** allocated 75937 integers for termspace/termends
% 4.15/4.53 Resimplifying inuse:
% 4.15/4.53 Done
% 4.15/4.53
% 4.15/4.53 *** allocated 256285 integers for clauses
% 4.15/4.53 *** allocated 113905 integers for termspace/termends
% 4.15/4.53
% 4.15/4.53 Intermediate Status:
% 4.15/4.53 Generated: 20202
% 4.15/4.53 Kept: 4038
% 4.15/4.53 Inuse: 461
% 4.15/4.53 Deleted: 0
% 4.15/4.53 Deletedinuse: 0
% 4.15/4.53
% 4.15/4.53 Resimplifying inuse:
% 4.15/4.53 Done
% 4.15/4.53
% 4.15/4.53 *** allocated 384427 integers for clauses
% 4.15/4.53 Resimplifying inuse:
% 4.15/4.53 Done
% 4.15/4.53
% 4.15/4.53 *** allocated 170857 integers for termspace/termends
% 4.15/4.53
% 4.15/4.53 Intermediate Status:
% 4.15/4.53 Generated: 32925
% 4.15/4.53 Kept: 6050
% 4.15/4.53 Inuse: 536
% 4.15/4.53 Deleted: 0
% 4.15/4.53 Deletedinuse: 0
% 4.15/4.53
% 4.15/4.53 Resimplifying inuse:
% 4.15/4.53 Done
% 4.15/4.53
% 4.15/4.53 Resimplifying inuse:
% 4.15/4.53 Done
% 4.15/4.53
% 4.15/4.53 *** allocated 576640 integers for clauses
% 4.15/4.53
% 4.15/4.53 Intermediate Status:
% 4.15/4.53 Generated: 44124
% 4.15/4.53 Kept: 8052
% 4.15/4.53 Inuse: 671
% 4.15/4.53 Deleted: 1
% 4.15/4.53 Deletedinuse: 0
% 4.15/4.53
% 4.15/4.53 Resimplifying inuse:
% 4.15/4.53 Done
% 4.15/4.53
% 4.15/4.53 *** allocated 256285 integers for termspace/termends
% 4.15/4.53 Resimplifying inuse:
% 4.15/4.53 Done
% 4.15/4.53
% 4.15/4.53
% 4.15/4.53 Intermediate Status:
% 4.15/4.53 Generated: 56051
% 4.15/4.53 Kept: 10056
% 4.15/4.53 Inuse: 887
% 4.15/4.53 Deleted: 778
% 4.15/4.53 Deletedinuse: 471
% 4.15/4.53
% 4.15/4.53 Resimplifying inuse:
% 4.15/4.53 Done
% 4.15/4.53
% 4.15/4.53 *** allocated 864960 integers for clauses
% 4.15/4.53 Resimplifying inuse:
% 4.15/4.53 Done
% 4.15/4.53
% 4.15/4.53
% 4.15/4.53 Intermediate Status:
% 4.15/4.53 Generated: 64770
% 4.15/4.53 Kept: 12077
% 4.15/4.53 Inuse: 1017
% 4.15/4.53 Deleted: 816
% 4.15/4.53 Deletedinuse: 497
% 4.15/4.53
% 4.15/4.53 Resimplifying inuse:
% 4.15/4.53 Done
% 4.15/4.53
% 4.15/4.53 Resimplifying inuse:
% 4.15/4.53 Done
% 4.15/4.53
% 4.15/4.53
% 4.15/4.53 Intermediate Status:
% 4.15/4.53 Generated: 75007
% 4.15/4.53 Kept: 14077
% 4.15/4.53 Inuse: 1183
% 4.15/4.53 Deleted: 818
% 4.15/4.53 Deletedinuse: 497
% 4.15/4.53
% 4.15/4.53 Resimplifying inuse:
% 4.15/4.53 Done
% 4.15/4.53
% 4.15/4.53 *** allocated 384427 integers for termspace/termends
% 4.15/4.53 Resimplifying inuse:
% 4.15/4.53 Done
% 4.15/4.53
% 4.15/4.53
% 4.15/4.53 Intermediate Status:
% 4.15/4.53 Generated: 88434
% 4.15/4.53 Kept: 16087
% 4.15/4.53 Inuse: 1422
% 4.15/4.53 Deleted: 819
% 4.15/4.53 Deletedinuse: 497
% 4.15/4.53
% 4.15/4.53 Resimplifying inuse:
% 4.15/4.53 Done
% 4.15/4.53
% 4.15/4.53 *** allocated 1297440 integers for clauses
% 4.15/4.53 Resimplifying inuse:
% 4.15/4.53 Done
% 4.15/4.53
% 4.15/4.53
% 4.15/4.53 Intermediate Status:
% 4.15/4.53 Generated: 100087
% 4.15/4.53 Kept: 18088
% 4.15/4.53 Inuse: 1638
% 4.15/4.53 Deleted: 827
% 4.15/4.53 Deletedinuse: 497
% 4.15/4.53
% 4.15/4.53 Resimplifying inuse:
% 4.15/4.53 Done
% 4.15/4.53
% 4.15/4.53 Resimplifying inuse:
% 4.15/4.53 Done
% 4.15/4.53
% 4.15/4.53 Resimplifying clauses:
% 4.15/4.53 Done
% 4.15/4.53
% 4.15/4.53
% 4.15/4.53 Intermediate Status:
% 4.15/4.53 Generated: 110698
% 4.15/4.53 Kept: 20137
% 4.15/4.53 Inuse: 1882
% 4.15/4.53 Deleted: 6602
% 4.15/4.53 Deletedinuse: 497
% 4.15/4.53
% 4.15/4.53 Resimplifying inuse:
% 4.15/4.53 Done
% 4.15/4.53
% 4.15/4.53 Resimplifying inuse:
% 4.15/4.53 Done
% 4.15/4.53
% 4.15/4.53
% 4.15/4.53 Intermediate Status:
% 4.15/4.53 Generated: 121243
% 4.15/4.53 Kept: 22137
% 4.15/4.53 Inuse: 2016
% 4.15/4.53 Deleted: 6734
% 4.15/4.53 Deletedinuse: 618
% 4.15/4.53
% 4.15/4.53 Resimplifying inuse:
% 4.15/4.53 Done
% 4.15/4.53
% 4.15/4.53 Resimplifying inuse:
% 4.15/4.53 Done
% 4.15/4.53
% 4.15/4.53
% 4.15/4.53 Bliksems!, er is een bewijs:
% 4.15/4.53 % SZS status Theorem
% 4.15/4.53 % SZS output start Refutation
% 4.15/4.53
% 4.15/4.53 (0) {G0,W8,D2,L2,V3,M2} I { ! coll( X, Y, Z ), coll( X, Z, Y ) }.
% 4.15/4.53 (1) {G0,W8,D2,L2,V3,M2} I { ! coll( X, Y, Z ), coll( Y, X, Z ) }.
% 4.15/4.53 (2) {G0,W12,D2,L3,V4,M3} I { ! coll( X, T, Y ), ! coll( X, T, Z ), coll( Y
% 4.15/4.53 , Z, X ) }.
% 4.15/4.53 (3) {G0,W10,D2,L2,V4,M2} I { ! para( X, Y, Z, T ), para( X, Y, T, Z ) }.
% 4.15/4.53 (5) {G0,W15,D2,L3,V6,M3} I { ! para( X, Y, U, W ), ! para( U, W, Z, T ),
% 4.15/4.53 para( X, Y, Z, T ) }.
% 4.15/4.53 (6) {G0,W10,D2,L2,V4,M2} I { ! perp( X, Y, Z, T ), perp( X, Y, T, Z ) }.
% 4.15/4.53 (7) {G0,W10,D2,L2,V4,M2} I { ! perp( X, Y, Z, T ), perp( Z, T, X, Y ) }.
% 4.15/4.53 (8) {G0,W15,D2,L3,V6,M3} I { ! perp( X, Y, U, W ), ! perp( U, W, Z, T ),
% 4.15/4.53 para( X, Y, Z, T ) }.
% 4.15/4.53 (10) {G0,W8,D2,L2,V3,M2} I { ! midp( Z, Y, X ), midp( Z, X, Y ) }.
% 4.15/4.53 (11) {G0,W15,D2,L3,V4,M3} I { ! cong( T, X, T, Y ), ! cong( T, X, T, Z ),
% 4.15/4.53 circle( T, X, Y, Z ) }.
% 4.15/4.53 (13) {G0,W10,D2,L2,V4,M2} I { ! cyclic( X, Y, Z, T ), cyclic( X, Y, T, Z )
% 4.15/4.53 }.
% 4.15/4.53 (14) {G0,W10,D2,L2,V4,M2} I { ! cyclic( X, Y, Z, T ), cyclic( X, Z, Y, T )
% 4.15/4.53 }.
% 4.15/4.53 (15) {G0,W10,D2,L2,V4,M2} I { ! cyclic( X, Y, Z, T ), cyclic( Y, X, Z, T )
% 4.15/4.53 }.
% 4.15/4.53 (16) {G0,W15,D2,L3,V5,M3} I { ! cyclic( U, X, Y, Z ), ! cyclic( U, X, Y, T
% 4.15/4.53 ), cyclic( X, Y, Z, T ) }.
% 4.15/4.53 (39) {G0,W14,D2,L2,V6,M2} I { ! para( X, Y, Z, T ), eqangle( X, Y, U, W, Z
% 4.15/4.53 , T, U, W ) }.
% 4.15/4.53 (40) {G0,W14,D2,L2,V4,M2} I { ! cyclic( X, Y, Z, T ), eqangle( Z, X, Z, Y,
% 4.15/4.53 T, X, T, Y ) }.
% 4.15/4.53 (42) {G0,W18,D2,L3,V4,M3} I { ! eqangle( Z, X, Z, Y, T, X, T, Y ), ! coll(
% 4.15/4.53 Z, T, Y ), cyclic( X, Y, Z, T ) }.
% 4.15/4.53 (43) {G0,W29,D2,L5,V6,M5} I { ! cyclic( X, Y, U, Z ), ! cyclic( X, Y, U, T
% 4.15/4.53 ), ! cyclic( X, Y, U, W ), ! eqangle( U, X, U, Y, W, Z, W, T ), cong( X
% 4.15/4.53 , Y, Z, T ) }.
% 4.15/4.53 (56) {G0,W15,D2,L3,V4,M3} I { ! cong( X, Z, Y, Z ), ! cong( X, T, Y, T ),
% 4.15/4.53 perp( X, Y, Z, T ) }.
% 4.15/4.53 (68) {G0,W9,D2,L2,V3,M2} I { ! midp( X, Y, Z ), cong( X, Y, X, Z ) }.
% 4.15/4.53 (69) {G0,W8,D2,L2,V3,M2} I { ! midp( X, Y, Z ), coll( X, Y, Z ) }.
% 4.15/4.53 (88) {G0,W22,D3,L5,V7,M5} I { ! midp( Z, X, Y ), ! midp( W, T, U ), ! coll
% 4.15/4.53 ( T, X, Y ), ! coll( U, X, Y ), midp( skol7( X, V0 ), X, V0 ) }.
% 4.15/4.53 (100) {G0,W12,D3,L2,V4,M2} I { ! circle( Y, X, Z, T ), perp( skol12( X, Y )
% 4.15/4.53 , X, X, Y ) }.
% 4.15/4.53 (110) {G0,W17,D3,L3,V5,M3} I { ! perp( X, U, U, T ), ! coll( T, Y, Z ),
% 4.15/4.53 perp( skol16( X, Y, Z ), X, Y, Z ) }.
% 4.15/4.53 (122) {G0,W4,D2,L1,V0,M1} I { midp( skol24, skol28, skol26 ) }.
% 4.15/4.53 (125) {G0,W5,D2,L1,V0,M1} I { ! para( skol23, skol22, skol20, skol24 ) }.
% 4.15/4.53 (128) {G1,W10,D2,L2,V3,M2} F(11) { ! cong( X, Y, X, Z ), circle( X, Y, Z, Z
% 4.15/4.53 ) }.
% 4.15/4.53 (148) {G1,W18,D3,L4,V4,M4} F(88) { ! midp( X, Y, Z ), ! coll( Y, Y, Z ), !
% 4.15/4.53 coll( Z, Y, Z ), midp( skol7( Y, T ), Y, T ) }.
% 4.15/4.53 (172) {G1,W8,D2,L2,V3,M2} R(1,0) { ! coll( X, Y, Z ), coll( Y, Z, X ) }.
% 4.15/4.53 (201) {G1,W12,D2,L3,V4,M3} R(2,0) { ! coll( X, Y, Z ), ! coll( X, Y, T ),
% 4.15/4.53 coll( Z, X, T ) }.
% 4.15/4.53 (208) {G2,W8,D2,L2,V3,M2} F(201) { ! coll( X, Y, Z ), coll( Z, X, Z ) }.
% 4.15/4.53 (255) {G1,W5,D2,L1,V0,M1} R(125,3) { ! para( skol23, skol22, skol24, skol20
% 4.15/4.53 ) }.
% 4.15/4.53 (269) {G2,W10,D2,L2,V2,M2} R(255,5) { ! para( skol23, skol22, X, Y ), !
% 4.15/4.53 para( X, Y, skol24, skol20 ) }.
% 4.15/4.53 (275) {G1,W15,D2,L3,V6,M3} R(8,7) { ! perp( X, Y, Z, T ), para( U, W, Z, T
% 4.15/4.53 ), ! perp( X, Y, U, W ) }.
% 4.15/4.53 (276) {G1,W15,D2,L3,V6,M3} R(8,7) { ! perp( X, Y, Z, T ), para( X, Y, U, W
% 4.15/4.53 ), ! perp( U, W, Z, T ) }.
% 4.15/4.53 (291) {G2,W10,D2,L2,V4,M2} F(276) { ! perp( X, Y, Z, T ), para( X, Y, X, Y
% 4.15/4.53 ) }.
% 4.15/4.53 (342) {G3,W12,D2,L3,V4,M3} R(208,2) { coll( X, Y, X ), ! coll( X, Z, Y ), !
% 4.15/4.53 coll( X, Z, T ) }.
% 4.15/4.53 (348) {G3,W8,D2,L2,V3,M2} R(208,1) { coll( X, Y, X ), ! coll( Z, Y, X ) }.
% 4.15/4.53 (358) {G4,W8,D2,L2,V3,M2} F(342) { coll( X, Y, X ), ! coll( X, Z, Y ) }.
% 4.15/4.53 (360) {G1,W4,D2,L1,V0,M1} R(10,122) { midp( skol24, skol26, skol28 ) }.
% 4.15/4.53 (387) {G1,W10,D2,L2,V4,M2} R(14,13) { ! cyclic( X, Y, Z, T ), cyclic( X, Z
% 4.15/4.53 , T, Y ) }.
% 4.15/4.53 (396) {G1,W10,D2,L2,V4,M2} R(15,14) { ! cyclic( X, Y, Z, T ), cyclic( Y, Z
% 4.15/4.53 , X, T ) }.
% 4.15/4.53 (419) {G1,W15,D2,L3,V5,M3} R(16,13) { ! cyclic( X, Y, Z, T ), cyclic( Y, Z
% 4.15/4.53 , T, U ), ! cyclic( X, Y, U, Z ) }.
% 4.15/4.53 (619) {G5,W8,D2,L2,V3,M2} R(358,1) { ! coll( X, Y, Z ), coll( Z, X, X ) }.
% 4.15/4.53 (624) {G6,W8,D2,L2,V3,M2} R(619,1) { coll( X, Y, Y ), ! coll( Z, Y, X ) }.
% 4.15/4.53 (625) {G6,W8,D2,L2,V3,M2} R(619,0) { coll( X, Y, Y ), ! coll( Y, X, Z ) }.
% 4.15/4.53 (631) {G7,W8,D2,L2,V3,M2} R(625,625) { ! coll( X, Y, Z ), coll( X, Y, Y )
% 4.15/4.53 }.
% 4.15/4.53 (634) {G8,W12,D2,L3,V4,M3} R(631,2) { ! coll( X, Y, Z ), ! coll( X, Y, T )
% 4.15/4.53 , coll( T, Y, X ) }.
% 4.15/4.53 (635) {G9,W8,D2,L2,V3,M2} F(634) { ! coll( X, Y, Z ), coll( Z, Y, X ) }.
% 4.15/4.53 (655) {G10,W8,D2,L2,V3,M2} R(635,624) { coll( X, X, Y ), ! coll( Z, X, Y )
% 4.15/4.53 }.
% 4.15/4.53 (687) {G11,W8,D2,L2,V3,M2} R(69,655) { ! midp( X, Y, Z ), coll( Y, Y, Z )
% 4.15/4.53 }.
% 4.15/4.53 (701) {G2,W4,D2,L1,V0,M1} R(69,360) { coll( skol24, skol26, skol28 ) }.
% 4.15/4.53 (707) {G1,W8,D2,L2,V3,M2} R(69,1) { ! midp( X, Y, Z ), coll( Y, X, Z ) }.
% 4.15/4.53 (709) {G1,W4,D2,L1,V0,M1} R(69,122) { coll( skol24, skol28, skol26 ) }.
% 4.15/4.53 (714) {G4,W4,D2,L1,V0,M1} R(701,348) { coll( skol28, skol26, skol28 ) }.
% 4.15/4.53 (835) {G1,W14,D2,L3,V3,M3} R(42,39) { ! coll( X, X, Y ), cyclic( Z, Y, X, X
% 4.15/4.53 ), ! para( X, Z, X, Z ) }.
% 4.15/4.53 (1006) {G1,W20,D2,L4,V4,M4} R(43,40);f { ! cyclic( X, Y, Z, X ), ! cyclic(
% 4.15/4.53 X, Y, Z, Y ), ! cyclic( X, Y, Z, T ), cong( X, Y, X, Y ) }.
% 4.15/4.53 (1038) {G2,W15,D2,L3,V3,M3} F(1006) { ! cyclic( X, Y, Z, X ), ! cyclic( X,
% 4.15/4.53 Y, Z, Y ), cong( X, Y, X, Y ) }.
% 4.15/4.53 (1320) {G2,W8,D2,L2,V1,M2} R(709,2) { ! coll( skol24, skol28, X ), coll(
% 4.15/4.53 skol26, X, skol24 ) }.
% 4.15/4.53 (1707) {G3,W8,D2,L2,V1,M2} R(1320,172) { coll( skol26, X, skol24 ), ! coll
% 4.15/4.53 ( X, skol24, skol28 ) }.
% 4.15/4.53 (2513) {G2,W5,D2,L1,V0,M1} R(68,360) { cong( skol24, skol26, skol24, skol28
% 4.15/4.53 ) }.
% 4.15/4.53 (3157) {G4,W8,D2,L2,V1,M2} R(1707,172) { ! coll( X, skol24, skol28 ), coll
% 4.15/4.53 ( X, skol24, skol26 ) }.
% 4.15/4.53 (3177) {G5,W12,D2,L3,V2,M3} R(3157,2) { ! coll( X, skol24, skol28 ), ! coll
% 4.15/4.53 ( X, skol24, Y ), coll( skol26, Y, X ) }.
% 4.15/4.53 (3182) {G6,W8,D2,L2,V1,M2} F(3177) { ! coll( X, skol24, skol28 ), coll(
% 4.15/4.53 skol26, skol28, X ) }.
% 4.15/4.53 (3968) {G7,W8,D2,L2,V1,M2} R(3182,707) { coll( skol26, skol28, X ), ! midp
% 4.15/4.53 ( skol24, X, skol28 ) }.
% 4.15/4.53 (3995) {G8,W8,D2,L2,V1,M2} R(3968,0) { ! midp( skol24, X, skol28 ), coll(
% 4.15/4.53 skol26, X, skol28 ) }.
% 4.15/4.53 (7261) {G3,W5,D2,L1,V0,M1} R(128,2513) { circle( skol24, skol26, skol28,
% 4.15/4.53 skol28 ) }.
% 4.15/4.53 (8137) {G9,W14,D3,L3,V2,M3} R(148,3995);r(714) { ! midp( X, skol26, skol28
% 4.15/4.53 ), midp( skol7( skol26, Y ), skol26, Y ), ! midp( skol24, skol26, skol28
% 4.15/4.53 ) }.
% 4.15/4.53 (8254) {G10,W6,D3,L1,V1,M1} F(8137);r(360) { midp( skol7( skol26, X ),
% 4.15/4.53 skol26, X ) }.
% 4.15/4.53 (8301) {G4,W7,D3,L1,V0,M1} R(7261,100) { perp( skol12( skol26, skol24 ),
% 4.15/4.53 skol26, skol26, skol24 ) }.
% 4.15/4.53 (8495) {G12,W4,D2,L1,V1,M1} R(8254,687) { coll( skol26, skol26, X ) }.
% 4.15/4.53 (8581) {G13,W4,D2,L1,V2,M1} R(8495,2);r(8495) { coll( Y, X, skol26 ) }.
% 4.15/4.53 (8590) {G14,W4,D2,L1,V2,M1} R(8581,172) { coll( X, skol26, Y ) }.
% 4.15/4.53 (8603) {G15,W4,D2,L1,V3,M1} R(8590,2);r(8590) { coll( Z, Y, X ) }.
% 4.15/4.53 (8717) {G5,W7,D3,L1,V0,M1} R(8301,7) { perp( skol26, skol24, skol12( skol26
% 4.15/4.53 , skol24 ), skol26 ) }.
% 4.15/4.53 (8726) {G6,W7,D3,L1,V0,M1} R(8717,6) { perp( skol26, skol24, skol26, skol12
% 4.15/4.53 ( skol26, skol24 ) ) }.
% 4.15/4.53 (8734) {G7,W7,D3,L1,V0,M1} R(8726,7) { perp( skol26, skol12( skol26, skol24
% 4.15/4.53 ), skol26, skol24 ) }.
% 4.15/4.53 (8743) {G8,W7,D3,L1,V0,M1} R(8734,6) { perp( skol26, skol12( skol26, skol24
% 4.15/4.53 ), skol24, skol26 ) }.
% 4.15/4.53 (8752) {G9,W7,D3,L1,V0,M1} R(8743,7) { perp( skol24, skol26, skol26, skol12
% 4.15/4.53 ( skol26, skol24 ) ) }.
% 4.15/4.53 (8754) {G16,W8,D3,L1,V2,M1} R(8752,110);r(8603) { perp( skol16( skol24, X,
% 4.15/4.53 Y ), skol24, X, Y ) }.
% 4.15/4.53 (10338) {G17,W8,D3,L1,V2,M1} R(8754,7) { perp( X, Y, skol16( skol24, X, Y )
% 4.15/4.53 , skol24 ) }.
% 4.15/4.53 (10767) {G18,W5,D2,L1,V2,M1} R(291,10338) { para( X, Y, X, Y ) }.
% 4.15/4.53 (20130) {G19,W5,D2,L1,V3,M1} S(835);r(8603);r(10767) { cyclic( Z, Y, X, X )
% 4.15/4.53 }.
% 4.15/4.53 (20149) {G20,W5,D2,L1,V3,M1} R(20130,396) { cyclic( X, Y, Z, Y ) }.
% 4.15/4.53 (20151) {G20,W5,D2,L1,V3,M1} R(20130,387) { cyclic( X, Y, Y, Z ) }.
% 4.15/4.53 (20156) {G21,W5,D2,L1,V3,M1} R(20149,419);r(20151) { cyclic( Y, Y, Z, T )
% 4.15/4.53 }.
% 4.15/4.53 (20166) {G22,W5,D2,L1,V4,M1} R(20156,419);r(20156) { cyclic( X, Y, Z, T )
% 4.15/4.53 }.
% 4.15/4.53 (23819) {G23,W5,D2,L1,V2,M1} S(1038);r(20166);r(20166) { cong( X, Y, X, Y )
% 4.15/4.53 }.
% 4.15/4.53 (23830) {G24,W5,D2,L1,V3,M1} R(23819,56);r(23819) { perp( X, X, Z, Y ) }.
% 4.15/4.53 (23863) {G25,W5,D2,L1,V4,M1} R(23830,275);r(23830) { para( X, Y, Z, T ) }.
% 4.15/4.53 (23878) {G26,W0,D0,L0,V0,M0} R(23863,269);r(23863) { }.
% 4.15/4.53
% 4.15/4.53
% 4.15/4.53 % SZS output end Refutation
% 4.15/4.53 found a proof!
% 4.15/4.53
% 4.15/4.53
% 4.15/4.53 Unprocessed initial clauses:
% 4.15/4.53
% 4.15/4.53 (23880) {G0,W8,D2,L2,V3,M2} { ! coll( X, Y, Z ), coll( X, Z, Y ) }.
% 4.15/4.53 (23881) {G0,W8,D2,L2,V3,M2} { ! coll( X, Y, Z ), coll( Y, X, Z ) }.
% 4.15/4.53 (23882) {G0,W12,D2,L3,V4,M3} { ! coll( X, T, Y ), ! coll( X, T, Z ), coll
% 4.15/4.53 ( Y, Z, X ) }.
% 4.15/4.53 (23883) {G0,W10,D2,L2,V4,M2} { ! para( X, Y, Z, T ), para( X, Y, T, Z )
% 4.15/4.53 }.
% 4.15/4.53 (23884) {G0,W10,D2,L2,V4,M2} { ! para( X, Y, Z, T ), para( Z, T, X, Y )
% 4.15/4.53 }.
% 4.15/4.53 (23885) {G0,W15,D2,L3,V6,M3} { ! para( X, Y, U, W ), ! para( U, W, Z, T )
% 4.15/4.53 , para( X, Y, Z, T ) }.
% 4.15/4.53 (23886) {G0,W10,D2,L2,V4,M2} { ! perp( X, Y, Z, T ), perp( X, Y, T, Z )
% 4.15/4.53 }.
% 4.15/4.53 (23887) {G0,W10,D2,L2,V4,M2} { ! perp( X, Y, Z, T ), perp( Z, T, X, Y )
% 4.15/4.53 }.
% 4.15/4.53 (23888) {G0,W15,D2,L3,V6,M3} { ! perp( X, Y, U, W ), ! perp( U, W, Z, T )
% 4.15/4.53 , para( X, Y, Z, T ) }.
% 4.15/4.53 (23889) {G0,W15,D2,L3,V6,M3} { ! para( X, Y, U, W ), ! perp( U, W, Z, T )
% 4.15/4.53 , perp( X, Y, Z, T ) }.
% 4.15/4.53 (23890) {G0,W8,D2,L2,V3,M2} { ! midp( Z, Y, X ), midp( Z, X, Y ) }.
% 4.15/4.53 (23891) {G0,W15,D2,L3,V4,M3} { ! cong( T, X, T, Y ), ! cong( T, X, T, Z )
% 4.15/4.53 , circle( T, X, Y, Z ) }.
% 4.15/4.53 (23892) {G0,W20,D2,L4,V5,M4} { ! cong( U, X, U, Y ), ! cong( U, X, U, Z )
% 4.15/4.53 , ! cong( U, X, U, T ), cyclic( X, Y, Z, T ) }.
% 4.15/4.53 (23893) {G0,W10,D2,L2,V4,M2} { ! cyclic( X, Y, Z, T ), cyclic( X, Y, T, Z
% 4.15/4.53 ) }.
% 4.15/4.53 (23894) {G0,W10,D2,L2,V4,M2} { ! cyclic( X, Y, Z, T ), cyclic( X, Z, Y, T
% 4.15/4.53 ) }.
% 4.15/4.53 (23895) {G0,W10,D2,L2,V4,M2} { ! cyclic( X, Y, Z, T ), cyclic( Y, X, Z, T
% 4.15/4.53 ) }.
% 4.15/4.53 (23896) {G0,W15,D2,L3,V5,M3} { ! cyclic( U, X, Y, Z ), ! cyclic( U, X, Y,
% 4.15/4.53 T ), cyclic( X, Y, Z, T ) }.
% 4.15/4.53 (23897) {G0,W18,D2,L2,V8,M2} { ! eqangle( X, Y, Z, T, U, W, V0, V1 ),
% 4.15/4.53 eqangle( Y, X, Z, T, U, W, V0, V1 ) }.
% 4.15/4.53 (23898) {G0,W18,D2,L2,V8,M2} { ! eqangle( X, Y, Z, T, U, W, V0, V1 ),
% 4.15/4.53 eqangle( Z, T, X, Y, V0, V1, U, W ) }.
% 4.15/4.53 (23899) {G0,W18,D2,L2,V8,M2} { ! eqangle( X, Y, Z, T, U, W, V0, V1 ),
% 4.15/4.53 eqangle( U, W, V0, V1, X, Y, Z, T ) }.
% 4.15/4.53 (23900) {G0,W18,D2,L2,V8,M2} { ! eqangle( X, Y, Z, T, U, W, V0, V1 ),
% 4.15/4.53 eqangle( X, Y, U, W, Z, T, V0, V1 ) }.
% 4.15/4.53 (23901) {G0,W27,D2,L3,V12,M3} { ! eqangle( X, Y, Z, T, V2, V3, V4, V5 ), !
% 4.15/4.53 eqangle( V2, V3, V4, V5, U, W, V0, V1 ), eqangle( X, Y, Z, T, U, W, V0,
% 4.15/4.53 V1 ) }.
% 4.15/4.53 (23902) {G0,W10,D2,L2,V4,M2} { ! cong( X, Y, Z, T ), cong( X, Y, T, Z )
% 4.15/4.53 }.
% 4.15/4.53 (23903) {G0,W10,D2,L2,V4,M2} { ! cong( X, Y, Z, T ), cong( Z, T, X, Y )
% 4.15/4.53 }.
% 4.15/4.53 (23904) {G0,W15,D2,L3,V6,M3} { ! cong( X, Y, U, W ), ! cong( U, W, Z, T )
% 4.15/4.53 , cong( X, Y, Z, T ) }.
% 4.15/4.53 (23905) {G0,W18,D2,L2,V8,M2} { ! eqratio( X, Y, Z, T, U, W, V0, V1 ),
% 4.15/4.53 eqratio( Y, X, Z, T, U, W, V0, V1 ) }.
% 4.15/4.53 (23906) {G0,W18,D2,L2,V8,M2} { ! eqratio( X, Y, Z, T, U, W, V0, V1 ),
% 4.15/4.53 eqratio( Z, T, X, Y, V0, V1, U, W ) }.
% 4.15/4.53 (23907) {G0,W18,D2,L2,V8,M2} { ! eqratio( X, Y, Z, T, U, W, V0, V1 ),
% 4.15/4.53 eqratio( U, W, V0, V1, X, Y, Z, T ) }.
% 4.15/4.53 (23908) {G0,W18,D2,L2,V8,M2} { ! eqratio( X, Y, Z, T, U, W, V0, V1 ),
% 4.15/4.53 eqratio( X, Y, U, W, Z, T, V0, V1 ) }.
% 4.15/4.53 (23909) {G0,W27,D2,L3,V12,M3} { ! eqratio( X, Y, Z, T, V2, V3, V4, V5 ), !
% 4.15/4.53 eqratio( V2, V3, V4, V5, U, W, V0, V1 ), eqratio( X, Y, Z, T, U, W, V0,
% 4.15/4.53 V1 ) }.
% 4.15/4.53 (23910) {G0,W14,D2,L2,V6,M2} { ! simtri( X, Z, Y, T, W, U ), simtri( X, Y
% 4.15/4.53 , Z, T, U, W ) }.
% 4.15/4.53 (23911) {G0,W14,D2,L2,V6,M2} { ! simtri( Y, X, Z, U, T, W ), simtri( X, Y
% 4.15/4.53 , Z, T, U, W ) }.
% 4.15/4.53 (23912) {G0,W14,D2,L2,V6,M2} { ! simtri( T, U, W, X, Y, Z ), simtri( X, Y
% 4.15/4.53 , Z, T, U, W ) }.
% 4.15/4.53 (23913) {G0,W21,D2,L3,V9,M3} { ! simtri( X, Y, Z, V0, V1, V2 ), ! simtri(
% 4.15/4.53 V0, V1, V2, T, U, W ), simtri( X, Y, Z, T, U, W ) }.
% 4.15/4.53 (23914) {G0,W14,D2,L2,V6,M2} { ! contri( X, Z, Y, T, W, U ), contri( X, Y
% 4.15/4.53 , Z, T, U, W ) }.
% 4.15/4.53 (23915) {G0,W14,D2,L2,V6,M2} { ! contri( Y, X, Z, U, T, W ), contri( X, Y
% 4.15/4.53 , Z, T, U, W ) }.
% 4.15/4.53 (23916) {G0,W14,D2,L2,V6,M2} { ! contri( T, U, W, X, Y, Z ), contri( X, Y
% 4.15/4.53 , Z, T, U, W ) }.
% 4.15/4.53 (23917) {G0,W21,D2,L3,V9,M3} { ! contri( X, Y, Z, V0, V1, V2 ), ! contri(
% 4.15/4.53 V0, V1, V2, T, U, W ), contri( X, Y, Z, T, U, W ) }.
% 4.15/4.53 (23918) {G0,W14,D2,L2,V6,M2} { ! eqangle( X, Y, U, W, Z, T, U, W ), para(
% 4.15/4.53 X, Y, Z, T ) }.
% 4.15/4.53 (23919) {G0,W14,D2,L2,V6,M2} { ! para( X, Y, Z, T ), eqangle( X, Y, U, W,
% 4.15/4.53 Z, T, U, W ) }.
% 4.15/4.53 (23920) {G0,W14,D2,L2,V4,M2} { ! cyclic( X, Y, Z, T ), eqangle( Z, X, Z, Y
% 4.15/4.53 , T, X, T, Y ) }.
% 4.15/4.53 (23921) {G0,W18,D2,L3,V4,M3} { ! eqangle( Z, X, Z, Y, T, X, T, Y ), coll(
% 4.15/4.53 Z, T, X ), cyclic( X, Y, Z, T ) }.
% 4.15/4.53 (23922) {G0,W18,D2,L3,V4,M3} { ! eqangle( Z, X, Z, Y, T, X, T, Y ), ! coll
% 4.15/4.53 ( Z, T, Y ), cyclic( X, Y, Z, T ) }.
% 4.15/4.53 (23923) {G0,W29,D2,L5,V6,M5} { ! cyclic( X, Y, U, Z ), ! cyclic( X, Y, U,
% 4.15/4.53 T ), ! cyclic( X, Y, U, W ), ! eqangle( U, X, U, Y, W, Z, W, T ), cong( X
% 4.15/4.53 , Y, Z, T ) }.
% 4.15/4.53 (23924) {G0,W13,D2,L3,V5,M3} { ! midp( Z, U, X ), ! midp( T, U, Y ), para
% 4.15/4.53 ( Z, T, X, Y ) }.
% 4.15/4.53 (23925) {G0,W17,D2,L4,V5,M4} { ! midp( U, X, T ), ! para( U, Z, T, Y ), !
% 4.15/4.53 coll( Z, X, Y ), midp( Z, X, Y ) }.
% 4.15/4.53 (23926) {G0,W14,D2,L2,V3,M2} { ! cong( Z, X, Z, Y ), eqangle( Z, X, X, Y,
% 4.15/4.53 X, Y, Z, Y ) }.
% 4.15/4.53 (23927) {G0,W18,D2,L3,V3,M3} { ! eqangle( Z, X, X, Y, X, Y, Z, Y ), coll(
% 4.15/4.53 Z, X, Y ), cong( Z, X, Z, Y ) }.
% 4.15/4.53 (23928) {G0,W19,D2,L3,V5,M3} { ! circle( U, X, Y, Z ), ! perp( U, X, X, T
% 4.15/4.53 ), eqangle( X, T, X, Y, Z, X, Z, Y ) }.
% 4.15/4.53 (23929) {G0,W19,D2,L3,V5,M3} { ! circle( Y, X, T, U ), ! eqangle( X, Z, X
% 4.15/4.53 , T, U, X, U, T ), perp( Y, X, X, Z ) }.
% 4.15/4.53 (23930) {G0,W18,D2,L3,V5,M3} { ! circle( T, X, Y, Z ), ! midp( U, Y, Z ),
% 4.15/4.53 eqangle( X, Y, X, Z, T, Y, T, U ) }.
% 4.15/4.53 (23931) {G0,W22,D2,L4,V5,M4} { ! circle( U, T, X, Y ), ! coll( Z, X, Y ),
% 4.15/4.53 ! eqangle( T, X, T, Y, U, X, U, Z ), midp( Z, X, Y ) }.
% 4.15/4.53 (23932) {G0,W14,D2,L3,V4,M3} { ! perp( X, Y, Y, T ), ! midp( Z, X, T ),
% 4.15/4.53 cong( X, Z, Y, Z ) }.
% 4.15/4.53 (23933) {G0,W14,D2,L3,V4,M3} { ! circle( T, X, Y, Z ), ! coll( T, X, Z ),
% 4.15/4.53 perp( X, Y, Y, Z ) }.
% 4.15/4.53 (23934) {G0,W19,D2,L3,V4,M3} { ! cyclic( X, Y, Z, T ), ! para( X, Y, Z, T
% 4.15/4.53 ), eqangle( X, T, Z, T, Z, T, Z, Y ) }.
% 4.15/4.53 (23935) {G0,W14,D2,L3,V4,M3} { ! midp( T, X, Y ), ! perp( Z, T, X, Y ),
% 4.15/4.53 cong( Z, X, Z, Y ) }.
% 4.15/4.53 (23936) {G0,W15,D2,L3,V4,M3} { ! cong( X, Z, Y, Z ), ! cong( X, T, Y, T )
% 4.15/4.53 , perp( X, Y, Z, T ) }.
% 4.15/4.53 (23937) {G0,W20,D2,L4,V4,M4} { ! cong( X, Y, T, Y ), ! cong( X, Z, T, Z )
% 4.15/4.53 , ! cyclic( X, T, Y, Z ), perp( Y, X, X, Z ) }.
% 4.15/4.53 (23938) {G0,W29,D2,L4,V6,M4} { ! eqangle( X, Y, Y, Z, T, U, U, W ), !
% 4.15/4.53 eqangle( X, Z, Y, Z, T, W, U, W ), coll( X, Y, Z ), simtri( X, Y, Z, T, U
% 4.15/4.53 , W ) }.
% 4.15/4.53 (23939) {G0,W16,D2,L2,V6,M2} { ! simtri( X, Y, Z, T, U, W ), eqratio( X, Y
% 4.15/4.53 , X, Z, T, U, T, W ) }.
% 4.15/4.53 (23940) {G0,W16,D2,L2,V6,M2} { ! simtri( X, Y, Z, T, U, W ), eqangle( X, Y
% 4.15/4.53 , Y, Z, T, U, U, W ) }.
% 4.15/4.53 (23941) {G0,W19,D2,L3,V6,M3} { ! simtri( X, Y, Z, T, U, W ), ! cong( X, Y
% 4.15/4.53 , T, U ), contri( X, Y, Z, T, U, W ) }.
% 4.15/4.53 (23942) {G0,W12,D2,L2,V6,M2} { ! contri( X, Y, U, Z, T, W ), cong( X, Y, Z
% 4.15/4.53 , T ) }.
% 4.15/4.53 (23943) {G0,W13,D2,L3,V5,M3} { ! midp( U, X, Y ), ! midp( U, Z, T ), para
% 4.15/4.53 ( X, Z, Y, T ) }.
% 4.15/4.53 (23944) {G0,W18,D2,L4,V5,M4} { ! midp( Z, T, U ), ! para( T, X, U, Y ), !
% 4.15/4.53 para( T, Y, U, X ), midp( Z, X, Y ) }.
% 4.15/4.53 (23945) {G0,W22,D2,L4,V5,M4} { ! para( X, Y, Z, T ), ! coll( U, X, Z ), !
% 4.15/4.53 coll( U, Y, T ), eqratio( U, X, X, Z, U, Y, Y, T ) }.
% 4.15/4.53 (23946) {G0,W9,D2,L2,V3,M2} { ! para( X, Y, X, Z ), coll( X, Y, Z ) }.
% 4.15/4.53 (23947) {G0,W13,D2,L3,V3,M3} { ! cong( X, Y, X, Z ), ! coll( X, Y, Z ),
% 4.15/4.53 midp( X, Y, Z ) }.
% 4.15/4.53 (23948) {G0,W9,D2,L2,V3,M2} { ! midp( X, Y, Z ), cong( X, Y, X, Z ) }.
% 4.15/4.53 (23949) {G0,W8,D2,L2,V3,M2} { ! midp( X, Y, Z ), coll( X, Y, Z ) }.
% 4.15/4.53 (23950) {G0,W17,D2,L3,V6,M3} { ! midp( U, X, Y ), ! midp( W, Z, T ),
% 4.15/4.53 eqratio( U, X, X, Y, W, Z, Z, T ) }.
% 4.15/4.53 (23951) {G0,W19,D2,L3,V4,M3} { ! eqangle( X, Y, Z, T, Z, T, X, Y ), para(
% 4.15/4.53 X, Y, Z, T ), perp( X, Y, Z, T ) }.
% 4.15/4.53 (23952) {G0,W19,D2,L3,V4,M3} { ! eqangle( X, Y, Z, T, Z, T, X, Y ), perp(
% 4.15/4.53 X, Y, Z, T ), para( X, Y, Z, T ) }.
% 4.15/4.53 (23953) {G0,W19,D2,L3,V8,M3} { ! eqangle( X, Y, Z, T, U, W, V0, V1 ), !
% 4.15/4.53 para( U, W, V0, V1 ), para( X, Y, Z, T ) }.
% 4.15/4.53 (23954) {G0,W19,D2,L3,V8,M3} { ! eqangle( X, Y, Z, T, U, W, V0, V1 ), !
% 4.15/4.53 perp( U, W, V0, V1 ), perp( X, Y, Z, T ) }.
% 4.15/4.53 (23955) {G0,W19,D2,L3,V8,M3} { ! eqratio( X, Y, Z, T, U, W, V0, V1 ), !
% 4.15/4.53 cong( U, W, V0, V1 ), cong( X, Y, Z, T ) }.
% 4.15/4.53 (23956) {G0,W22,D3,L3,V6,M3} { ! perp( Z, Y, Y, X ), ! eqangle( T, Z, Y, Z
% 4.15/4.53 , Y, Z, X, Z ), coll( skol1( U, W, Z, T ), Z, T ) }.
% 4.15/4.53 (23957) {G0,W22,D3,L3,V4,M3} { ! perp( Z, Y, Y, X ), ! eqangle( T, Z, Y, Z
% 4.15/4.53 , Y, Z, X, Z ), coll( skol1( X, Y, Z, T ), X, Y ) }.
% 4.15/4.53 (23958) {G0,W22,D3,L3,V6,M3} { ! cong( Z, X, Z, Y ), ! eqangle( X, Z, Z, T
% 4.15/4.53 , Z, T, Z, Y ), coll( skol2( U, W, Z, T ), Z, T ) }.
% 4.15/4.53 (23959) {G0,W22,D3,L3,V4,M3} { ! cong( Z, X, Z, Y ), ! eqangle( X, Z, Z, T
% 4.15/4.53 , Z, T, Z, Y ), coll( Y, X, skol2( X, Y, Z, T ) ) }.
% 4.15/4.53 (23960) {G0,W22,D3,L3,V6,M3} { ! perp( Z, T, X, Y ), ! eqangle( X, Z, Z, T
% 4.15/4.53 , Z, T, Z, Y ), coll( skol3( U, W, Z, T ), Z, T ) }.
% 4.15/4.53 (23961) {G0,W22,D3,L3,V4,M3} { ! perp( Z, T, X, Y ), ! eqangle( X, Z, Z, T
% 4.15/4.53 , Z, T, Z, Y ), coll( Y, X, skol3( X, Y, Z, T ) ) }.
% 4.15/4.53 (23962) {G0,W18,D3,L3,V6,M3} { ! perp( Z, T, X, Y ), ! cong( Z, X, Z, Y )
% 4.15/4.53 , coll( skol4( U, W, Z, T ), Z, T ) }.
% 4.15/4.53 (23963) {G0,W18,D3,L3,V4,M3} { ! perp( Z, T, X, Y ), ! cong( Z, X, Z, Y )
% 4.15/4.53 , coll( Y, X, skol4( X, Y, Z, T ) ) }.
% 4.15/4.53 (23964) {G0,W22,D3,L3,V6,M3} { ! eqangle( X, Z, Y, Z, X, T, Y, U ), coll(
% 4.15/4.53 X, Y, Z ), cyclic( T, Y, Z, skol5( W, Y, Z, T ) ) }.
% 4.15/4.53 (23965) {G0,W30,D3,L3,V5,M3} { ! eqangle( X, Z, Y, Z, X, T, Y, U ), coll(
% 4.15/4.53 X, Y, Z ), eqangle( X, Z, Y, Z, X, skol5( X, Y, Z, T ), Y, skol5( X, Y, Z
% 4.15/4.53 , T ) ) }.
% 4.15/4.53 (23966) {G0,W18,D3,L3,V10,M3} { ! midp( U, X, Y ), ! midp( W, Z, T ), midp
% 4.15/4.53 ( skol6( X, V0, V1, T, V2, V3 ), X, T ) }.
% 4.15/4.53 (23967) {G0,W19,D3,L3,V8,M3} { ! midp( U, X, Y ), ! midp( W, Z, T ), para
% 4.15/4.53 ( skol6( X, V0, Z, T, V1, W ), W, X, Z ) }.
% 4.15/4.53 (23968) {G0,W19,D3,L3,V6,M3} { ! midp( U, X, Y ), ! midp( W, Z, T ), para
% 4.15/4.53 ( skol6( X, Y, Z, T, U, W ), U, Y, T ) }.
% 4.15/4.53 (23969) {G0,W22,D3,L5,V7,M5} { ! midp( Z, X, Y ), ! midp( W, T, U ), !
% 4.15/4.53 coll( T, X, Y ), ! coll( U, X, Y ), midp( skol7( X, V0 ), X, V0 ) }.
% 4.15/4.53 (23970) {G0,W26,D3,L5,V8,M5} { ! midp( T, X, U ), ! para( X, W, Z, T ), !
% 4.15/4.53 para( X, W, U, Y ), ! coll( W, Y, Z ), coll( skol8( V0, V1, Z, T ), T, Z
% 4.15/4.53 ) }.
% 4.15/4.53 (23971) {G0,W26,D3,L5,V6,M5} { ! midp( T, X, U ), ! para( X, W, Z, T ), !
% 4.15/4.53 para( X, W, U, Y ), ! coll( W, Y, Z ), coll( skol8( X, Y, Z, T ), X, Y )
% 4.15/4.53 }.
% 4.15/4.53 (23972) {G0,W19,D3,L3,V7,M3} { ! cong( T, Z, T, U ), ! perp( X, Y, Y, T )
% 4.15/4.53 , cong( T, Z, T, skol9( W, V0, Z, T ) ) }.
% 4.15/4.53 (23973) {G0,W19,D3,L3,V6,M3} { ! cong( T, Z, T, U ), ! perp( X, Y, Y, T )
% 4.15/4.53 , cong( Y, Z, Y, skol9( W, Y, Z, T ) ) }.
% 4.15/4.53 (23974) {G0,W19,D3,L3,V5,M3} { ! cong( T, Z, T, U ), ! perp( X, Y, Y, T )
% 4.15/4.53 , para( skol9( X, Y, Z, T ), Z, X, Y ) }.
% 4.15/4.53 (23975) {G0,W17,D3,L3,V5,M3} { ! perp( X, T, Y, Z ), ! perp( Y, T, X, Z )
% 4.15/4.53 , coll( skol10( U, Y, Z ), Z, Y ) }.
% 4.15/4.53 (23976) {G0,W18,D3,L3,V4,M3} { ! perp( X, T, Y, Z ), ! perp( Y, T, X, Z )
% 4.15/4.53 , perp( X, skol10( X, Y, Z ), Z, Y ) }.
% 4.15/4.53 (23977) {G0,W14,D2,L3,V4,M3} { ! perp( X, T, Y, Z ), ! perp( Y, T, X, Z )
% 4.15/4.53 , alpha1( X, Y, Z ) }.
% 4.15/4.53 (23978) {G0,W11,D3,L2,V4,M2} { ! alpha1( X, Y, Z ), coll( skol11( X, T, Z
% 4.15/4.53 ), Z, X ) }.
% 4.15/4.53 (23979) {G0,W12,D3,L2,V3,M2} { ! alpha1( X, Y, Z ), perp( Y, skol11( X, Y
% 4.15/4.53 , Z ), Z, X ) }.
% 4.15/4.53 (23980) {G0,W13,D2,L3,V4,M3} { ! coll( T, Z, X ), ! perp( Y, T, Z, X ),
% 4.15/4.53 alpha1( X, Y, Z ) }.
% 4.15/4.53 (23981) {G0,W12,D3,L2,V4,M2} { ! circle( Y, X, Z, T ), perp( skol12( X, Y
% 4.15/4.53 ), X, X, Y ) }.
% 4.15/4.53 (23982) {G0,W28,D3,L5,V8,M5} { ! circle( W, X, Y, Z ), ! cong( W, X, W, T
% 4.15/4.53 ), ! cong( U, X, U, Y ), W = U, alpha2( X, Z, U, skol13( X, V0, Z, V1, U
% 4.15/4.53 ) ) }.
% 4.15/4.53 (23983) {G0,W26,D3,L5,V8,M5} { ! circle( W, X, Y, Z ), ! cong( W, X, W, T
% 4.15/4.53 ), ! cong( U, X, U, Y ), W = U, coll( skol21( V0, Y, T, V1 ), Y, T ) }.
% 4.15/4.53 (23984) {G0,W27,D3,L5,V6,M5} { ! circle( W, X, Y, Z ), ! cong( W, X, W, T
% 4.15/4.53 ), ! cong( U, X, U, Y ), W = U, cong( skol21( X, Y, T, U ), U, U, X )
% 4.15/4.53 }.
% 4.15/4.53 (23985) {G0,W9,D2,L2,V4,M2} { ! alpha2( X, Y, Z, T ), coll( T, X, Y ) }.
% 4.15/4.53 (23986) {G0,W10,D2,L2,V4,M2} { ! alpha2( X, Y, Z, T ), cong( T, Z, Z, X )
% 4.15/4.53 }.
% 4.15/4.53 (23987) {G0,W14,D2,L3,V4,M3} { ! coll( T, X, Y ), ! cong( T, Z, Z, X ),
% 4.15/4.53 alpha2( X, Y, Z, T ) }.
% 4.15/4.53 (23988) {G0,W22,D3,L4,V5,M4} { ! cyclic( X, Y, Z, T ), ! para( X, Y, Z, T
% 4.15/4.53 ), ! midp( U, X, Y ), circle( skol14( X, Y, Z ), X, Y, Z ) }.
% 4.15/4.53 (23989) {G0,W18,D3,L3,V4,M3} { ! perp( X, Z, Z, Y ), ! cyclic( X, Y, Z, T
% 4.15/4.53 ), circle( skol15( X, Y, Z ), X, Y, Z ) }.
% 4.15/4.53 (23990) {G0,W16,D3,L3,V6,M3} { ! perp( X, U, U, T ), ! coll( T, Y, Z ),
% 4.15/4.53 coll( skol16( W, Y, Z ), Y, Z ) }.
% 4.15/4.53 (23991) {G0,W17,D3,L3,V5,M3} { ! perp( X, U, U, T ), ! coll( T, Y, Z ),
% 4.15/4.53 perp( skol16( X, Y, Z ), X, Y, Z ) }.
% 4.15/4.53 (23992) {G0,W20,D3,L4,V5,M4} { ! perp( X, Z, X, Y ), ! perp( Y, X, Y, T )
% 4.15/4.53 , ! midp( U, Z, T ), midp( skol17( X, Y ), X, Y ) }.
% 4.15/4.53 (23993) {G0,W16,D3,L3,V3,M3} { ! cong( Y, X, Y, Z ), ! perp( X, Y, Y, Z )
% 4.15/4.53 , coll( X, Y, skol18( X, Y ) ) }.
% 4.15/4.53 (23994) {G0,W17,D3,L3,V3,M3} { ! cong( Y, X, Y, Z ), ! perp( X, Y, Y, Z )
% 4.15/4.53 , cong( Y, X, Y, skol18( X, Y ) ) }.
% 4.15/4.53 (23995) {G0,W25,D3,L5,V8,M5} { ! para( U, W, X, Y ), ! coll( Z, U, X ), !
% 4.15/4.53 coll( Z, W, Y ), ! coll( T, U, W ), coll( Z, T, skol19( V0, V1, Z, T ) )
% 4.15/4.53 }.
% 4.15/4.53 (23996) {G0,W25,D3,L5,V6,M5} { ! para( U, W, X, Y ), ! coll( Z, U, X ), !
% 4.15/4.53 coll( Z, W, Y ), ! coll( T, U, W ), coll( skol19( X, Y, Z, T ), X, Y )
% 4.15/4.53 }.
% 4.15/4.53 (23997) {G0,W4,D2,L1,V0,M1} { coll( skol20, skol25, skol26 ) }.
% 4.15/4.53 (23998) {G0,W5,D2,L1,V0,M1} { perp( skol25, skol26, skol20, skol27 ) }.
% 4.15/4.53 (23999) {G0,W5,D2,L1,V0,M1} { circle( skol22, skol25, skol26, skol27 ) }.
% 4.15/4.53 (24000) {G0,W5,D2,L1,V0,M1} { circle( skol22, skol27, skol28, skol29 ) }.
% 4.15/4.53 (24001) {G0,W4,D2,L1,V0,M1} { coll( skol28, skol27, skol20 ) }.
% 4.15/4.53 (24002) {G0,W4,D2,L1,V0,M1} { midp( skol23, skol27, skol25 ) }.
% 4.15/4.53 (24003) {G0,W4,D2,L1,V0,M1} { midp( skol24, skol28, skol26 ) }.
% 4.15/4.53 (24004) {G0,W4,D2,L1,V0,M1} { coll( skol30, skol20, skol22 ) }.
% 4.15/4.53 (24005) {G0,W4,D2,L1,V0,M1} { coll( skol30, skol23, skol24 ) }.
% 4.15/4.53 (24006) {G0,W5,D2,L1,V0,M1} { ! para( skol23, skol22, skol20, skol24 ) }.
% 4.15/4.53
% 4.15/4.53
% 4.15/4.53 Total Proof:
% 4.15/4.53
% 4.15/4.53 subsumption: (0) {G0,W8,D2,L2,V3,M2} I { ! coll( X, Y, Z ), coll( X, Z, Y )
% 4.15/4.53 }.
% 4.15/4.53 parent0: (23880) {G0,W8,D2,L2,V3,M2} { ! coll( X, Y, Z ), coll( X, Z, Y )
% 4.15/4.53 }.
% 4.15/4.53 substitution0:
% 4.15/4.53 X := X
% 4.15/4.53 Y := Y
% 4.15/4.53 Z := Z
% 4.15/4.53 end
% 4.15/4.53 permutation0:
% 4.15/4.53 0 ==> 0
% 4.15/4.53 1 ==> 1
% 4.15/4.53 end
% 4.15/4.53
% 4.15/4.53 subsumption: (1) {G0,W8,D2,L2,V3,M2} I { ! coll( X, Y, Z ), coll( Y, X, Z )
% 4.15/4.53 }.
% 4.15/4.53 parent0: (23881) {G0,W8,D2,L2,V3,M2} { ! coll( X, Y, Z ), coll( Y, X, Z )
% 4.15/4.53 }.
% 4.15/4.53 substitution0:
% 4.15/4.53 X := X
% 4.15/4.53 Y := Y
% 4.15/4.53 Z := Z
% 4.15/4.53 end
% 4.15/4.53 permutation0:
% 4.15/4.53 0 ==> 0
% 4.15/4.53 1 ==> 1
% 4.15/4.53 end
% 4.15/4.53
% 4.15/4.53 subsumption: (2) {G0,W12,D2,L3,V4,M3} I { ! coll( X, T, Y ), ! coll( X, T,
% 4.15/4.53 Z ), coll( Y, Z, X ) }.
% 4.15/4.53 parent0: (23882) {G0,W12,D2,L3,V4,M3} { ! coll( X, T, Y ), ! coll( X, T, Z
% 4.15/4.53 ), coll( Y, Z, X ) }.
% 4.15/4.53 substitution0:
% 4.15/4.53 X := X
% 4.15/4.53 Y := Y
% 4.15/4.53 Z := Z
% 4.15/4.53 T := T
% 4.15/4.53 end
% 4.15/4.53 permutation0:
% 4.15/4.53 0 ==> 0
% 4.15/4.53 1 ==> 1
% 4.15/4.53 2 ==> 2
% 4.15/4.53 end
% 4.15/4.53
% 4.15/4.53 subsumption: (3) {G0,W10,D2,L2,V4,M2} I { ! para( X, Y, Z, T ), para( X, Y
% 4.15/4.53 , T, Z ) }.
% 4.15/4.53 parent0: (23883) {G0,W10,D2,L2,V4,M2} { ! para( X, Y, Z, T ), para( X, Y,
% 4.15/4.53 T, Z ) }.
% 4.15/4.53 substitution0:
% 4.15/4.53 X := X
% 4.15/4.53 Y := Y
% 4.15/4.53 Z := Z
% 4.15/4.53 T := T
% 4.15/4.53 end
% 4.15/4.53 permutation0:
% 4.15/4.53 0 ==> 0
% 4.15/4.53 1 ==> 1
% 4.15/4.53 end
% 4.15/4.53
% 4.15/4.53 subsumption: (5) {G0,W15,D2,L3,V6,M3} I { ! para( X, Y, U, W ), ! para( U,
% 4.15/4.53 W, Z, T ), para( X, Y, Z, T ) }.
% 4.15/4.53 parent0: (23885) {G0,W15,D2,L3,V6,M3} { ! para( X, Y, U, W ), ! para( U, W
% 4.15/4.53 , Z, T ), para( X, Y, Z, T ) }.
% 4.15/4.53 substitution0:
% 4.15/4.53 X := X
% 4.15/4.53 Y := Y
% 4.15/4.53 Z := Z
% 4.15/4.53 T := T
% 4.15/4.53 U := U
% 4.15/4.53 W := W
% 4.15/4.53 end
% 4.15/4.53 permutation0:
% 4.15/4.53 0 ==> 0
% 4.15/4.53 1 ==> 1
% 4.15/4.53 2 ==> 2
% 4.15/4.53 end
% 4.15/4.53
% 4.15/4.53 subsumption: (6) {G0,W10,D2,L2,V4,M2} I { ! perp( X, Y, Z, T ), perp( X, Y
% 4.15/4.53 , T, Z ) }.
% 4.15/4.53 parent0: (23886) {G0,W10,D2,L2,V4,M2} { ! perp( X, Y, Z, T ), perp( X, Y,
% 4.15/4.53 T, Z ) }.
% 4.15/4.53 substitution0:
% 4.15/4.53 X := X
% 4.15/4.53 Y := Y
% 4.15/4.53 Z := Z
% 4.15/4.53 T := T
% 4.15/4.53 end
% 4.15/4.53 permutation0:
% 4.15/4.53 0 ==> 0
% 4.15/4.53 1 ==> 1
% 4.15/4.53 end
% 4.15/4.53
% 4.15/4.53 subsumption: (7) {G0,W10,D2,L2,V4,M2} I { ! perp( X, Y, Z, T ), perp( Z, T
% 4.15/4.53 , X, Y ) }.
% 4.15/4.53 parent0: (23887) {G0,W10,D2,L2,V4,M2} { ! perp( X, Y, Z, T ), perp( Z, T,
% 4.15/4.53 X, Y ) }.
% 4.15/4.53 substitution0:
% 4.15/4.53 X := X
% 4.15/4.53 Y := Y
% 4.15/4.53 Z := Z
% 4.15/4.53 T := T
% 4.15/4.53 end
% 4.15/4.53 permutation0:
% 4.15/4.53 0 ==> 0
% 4.15/4.53 1 ==> 1
% 4.15/4.53 end
% 4.15/4.53
% 4.15/4.53 subsumption: (8) {G0,W15,D2,L3,V6,M3} I { ! perp( X, Y, U, W ), ! perp( U,
% 4.15/4.53 W, Z, T ), para( X, Y, Z, T ) }.
% 4.15/4.53 parent0: (23888) {G0,W15,D2,L3,V6,M3} { ! perp( X, Y, U, W ), ! perp( U, W
% 4.15/4.53 , Z, T ), para( X, Y, Z, T ) }.
% 4.15/4.53 substitution0:
% 4.15/4.53 X := X
% 4.15/4.53 Y := Y
% 4.15/4.53 Z := Z
% 4.15/4.53 T := T
% 4.15/4.53 U := U
% 4.15/4.53 W := W
% 4.15/4.53 end
% 4.15/4.53 permutation0:
% 4.15/4.53 0 ==> 0
% 4.15/4.53 1 ==> 1
% 4.15/4.53 2 ==> 2
% 4.15/4.53 end
% 4.15/4.53
% 4.15/4.53 subsumption: (10) {G0,W8,D2,L2,V3,M2} I { ! midp( Z, Y, X ), midp( Z, X, Y
% 4.15/4.53 ) }.
% 4.15/4.53 parent0: (23890) {G0,W8,D2,L2,V3,M2} { ! midp( Z, Y, X ), midp( Z, X, Y )
% 4.15/4.53 }.
% 4.15/4.53 substitution0:
% 4.15/4.53 X := X
% 4.15/4.53 Y := Y
% 4.15/4.53 Z := Z
% 4.15/4.53 end
% 4.15/4.53 permutation0:
% 4.15/4.54 0 ==> 0
% 4.15/4.54 1 ==> 1
% 4.15/4.54 end
% 4.15/4.54
% 4.15/4.54 subsumption: (11) {G0,W15,D2,L3,V4,M3} I { ! cong( T, X, T, Y ), ! cong( T
% 4.15/4.54 , X, T, Z ), circle( T, X, Y, Z ) }.
% 4.15/4.54 parent0: (23891) {G0,W15,D2,L3,V4,M3} { ! cong( T, X, T, Y ), ! cong( T, X
% 4.15/4.54 , T, Z ), circle( T, X, Y, Z ) }.
% 4.15/4.54 substitution0:
% 4.15/4.54 X := X
% 4.15/4.54 Y := Y
% 4.15/4.54 Z := Z
% 4.15/4.54 T := T
% 4.15/4.54 end
% 4.15/4.54 permutation0:
% 4.15/4.54 0 ==> 0
% 4.15/4.54 1 ==> 1
% 4.15/4.54 2 ==> 2
% 4.15/4.54 end
% 4.15/4.54
% 4.15/4.54 subsumption: (13) {G0,W10,D2,L2,V4,M2} I { ! cyclic( X, Y, Z, T ), cyclic(
% 4.15/4.54 X, Y, T, Z ) }.
% 4.15/4.54 parent0: (23893) {G0,W10,D2,L2,V4,M2} { ! cyclic( X, Y, Z, T ), cyclic( X
% 4.15/4.54 , Y, T, Z ) }.
% 4.15/4.54 substitution0:
% 4.15/4.54 X := X
% 4.15/4.54 Y := Y
% 4.15/4.54 Z := Z
% 4.15/4.54 T := T
% 4.15/4.54 end
% 4.15/4.54 permutation0:
% 4.15/4.54 0 ==> 0
% 4.15/4.54 1 ==> 1
% 4.15/4.54 end
% 4.15/4.54
% 4.15/4.54 subsumption: (14) {G0,W10,D2,L2,V4,M2} I { ! cyclic( X, Y, Z, T ), cyclic(
% 4.15/4.54 X, Z, Y, T ) }.
% 4.15/4.54 parent0: (23894) {G0,W10,D2,L2,V4,M2} { ! cyclic( X, Y, Z, T ), cyclic( X
% 4.15/4.54 , Z, Y, T ) }.
% 4.15/4.54 substitution0:
% 4.15/4.54 X := X
% 4.15/4.54 Y := Y
% 4.15/4.54 Z := Z
% 4.15/4.54 T := T
% 4.15/4.54 end
% 4.15/4.54 permutation0:
% 4.15/4.54 0 ==> 0
% 4.15/4.54 1 ==> 1
% 4.15/4.54 end
% 4.15/4.54
% 4.15/4.54 subsumption: (15) {G0,W10,D2,L2,V4,M2} I { ! cyclic( X, Y, Z, T ), cyclic(
% 4.15/4.54 Y, X, Z, T ) }.
% 4.15/4.54 parent0: (23895) {G0,W10,D2,L2,V4,M2} { ! cyclic( X, Y, Z, T ), cyclic( Y
% 4.15/4.54 , X, Z, T ) }.
% 4.15/4.54 substitution0:
% 4.15/4.54 X := X
% 4.15/4.54 Y := Y
% 4.15/4.54 Z := Z
% 4.15/4.54 T := T
% 4.15/4.54 end
% 4.15/4.54 permutation0:
% 4.15/4.54 0 ==> 0
% 4.15/4.54 1 ==> 1
% 4.15/4.54 end
% 4.15/4.54
% 4.15/4.54 subsumption: (16) {G0,W15,D2,L3,V5,M3} I { ! cyclic( U, X, Y, Z ), ! cyclic
% 4.15/4.54 ( U, X, Y, T ), cyclic( X, Y, Z, T ) }.
% 4.15/4.54 parent0: (23896) {G0,W15,D2,L3,V5,M3} { ! cyclic( U, X, Y, Z ), ! cyclic(
% 4.15/4.54 U, X, Y, T ), cyclic( X, Y, Z, T ) }.
% 4.15/4.54 substitution0:
% 4.15/4.54 X := X
% 4.15/4.54 Y := Y
% 4.15/4.54 Z := Z
% 4.15/4.54 T := T
% 4.15/4.54 U := U
% 4.15/4.54 end
% 4.15/4.54 permutation0:
% 4.15/4.54 0 ==> 0
% 4.15/4.54 1 ==> 1
% 4.15/4.54 2 ==> 2
% 4.15/4.54 end
% 4.15/4.54
% 4.15/4.54 subsumption: (39) {G0,W14,D2,L2,V6,M2} I { ! para( X, Y, Z, T ), eqangle( X
% 4.15/4.54 , Y, U, W, Z, T, U, W ) }.
% 4.15/4.54 parent0: (23919) {G0,W14,D2,L2,V6,M2} { ! para( X, Y, Z, T ), eqangle( X,
% 4.15/4.54 Y, U, W, Z, T, U, W ) }.
% 4.15/4.54 substitution0:
% 4.15/4.54 X := X
% 4.15/4.54 Y := Y
% 4.15/4.54 Z := Z
% 4.15/4.54 T := T
% 4.15/4.54 U := U
% 4.15/4.54 W := W
% 4.15/4.54 end
% 4.15/4.54 permutation0:
% 4.15/4.54 0 ==> 0
% 4.15/4.54 1 ==> 1
% 4.15/4.54 end
% 4.15/4.54
% 4.15/4.54 subsumption: (40) {G0,W14,D2,L2,V4,M2} I { ! cyclic( X, Y, Z, T ), eqangle
% 4.15/4.54 ( Z, X, Z, Y, T, X, T, Y ) }.
% 4.15/4.54 parent0: (23920) {G0,W14,D2,L2,V4,M2} { ! cyclic( X, Y, Z, T ), eqangle( Z
% 4.15/4.54 , X, Z, Y, T, X, T, Y ) }.
% 4.15/4.54 substitution0:
% 4.15/4.54 X := X
% 4.15/4.54 Y := Y
% 4.15/4.54 Z := Z
% 4.15/4.54 T := T
% 4.15/4.54 end
% 4.15/4.54 permutation0:
% 4.15/4.54 0 ==> 0
% 4.15/4.54 1 ==> 1
% 4.15/4.54 end
% 4.15/4.54
% 4.15/4.54 subsumption: (42) {G0,W18,D2,L3,V4,M3} I { ! eqangle( Z, X, Z, Y, T, X, T,
% 4.15/4.54 Y ), ! coll( Z, T, Y ), cyclic( X, Y, Z, T ) }.
% 4.15/4.54 parent0: (23922) {G0,W18,D2,L3,V4,M3} { ! eqangle( Z, X, Z, Y, T, X, T, Y
% 4.15/4.54 ), ! coll( Z, T, Y ), cyclic( X, Y, Z, T ) }.
% 4.15/4.54 substitution0:
% 4.15/4.54 X := X
% 4.15/4.54 Y := Y
% 4.15/4.54 Z := Z
% 4.15/4.54 T := T
% 4.15/4.54 end
% 4.15/4.54 permutation0:
% 4.15/4.54 0 ==> 0
% 4.15/4.54 1 ==> 1
% 4.15/4.54 2 ==> 2
% 4.15/4.54 end
% 4.15/4.54
% 4.15/4.54 subsumption: (43) {G0,W29,D2,L5,V6,M5} I { ! cyclic( X, Y, U, Z ), ! cyclic
% 4.15/4.54 ( X, Y, U, T ), ! cyclic( X, Y, U, W ), ! eqangle( U, X, U, Y, W, Z, W, T
% 4.15/4.54 ), cong( X, Y, Z, T ) }.
% 4.15/4.54 parent0: (23923) {G0,W29,D2,L5,V6,M5} { ! cyclic( X, Y, U, Z ), ! cyclic(
% 4.15/4.54 X, Y, U, T ), ! cyclic( X, Y, U, W ), ! eqangle( U, X, U, Y, W, Z, W, T )
% 4.15/4.54 , cong( X, Y, Z, T ) }.
% 4.15/4.54 substitution0:
% 4.15/4.54 X := X
% 4.15/4.54 Y := Y
% 4.15/4.54 Z := Z
% 4.15/4.54 T := T
% 4.15/4.54 U := U
% 4.15/4.54 W := W
% 4.15/4.54 end
% 4.15/4.54 permutation0:
% 4.15/4.54 0 ==> 0
% 4.15/4.54 1 ==> 1
% 4.15/4.54 2 ==> 2
% 4.15/4.54 3 ==> 3
% 4.15/4.54 4 ==> 4
% 4.15/4.54 end
% 4.15/4.54
% 4.15/4.54 subsumption: (56) {G0,W15,D2,L3,V4,M3} I { ! cong( X, Z, Y, Z ), ! cong( X
% 4.15/4.54 , T, Y, T ), perp( X, Y, Z, T ) }.
% 4.15/4.54 parent0: (23936) {G0,W15,D2,L3,V4,M3} { ! cong( X, Z, Y, Z ), ! cong( X, T
% 4.15/4.54 , Y, T ), perp( X, Y, Z, T ) }.
% 4.15/4.54 substitution0:
% 4.15/4.54 X := X
% 4.15/4.54 Y := Y
% 4.15/4.54 Z := Z
% 4.15/4.54 T := T
% 4.15/4.54 end
% 4.15/4.54 permutation0:
% 4.15/4.54 0 ==> 0
% 4.15/4.54 1 ==> 1
% 4.15/4.54 2 ==> 2
% 4.15/4.54 end
% 4.15/4.54
% 4.15/4.54 subsumption: (68) {G0,W9,D2,L2,V3,M2} I { ! midp( X, Y, Z ), cong( X, Y, X
% 4.15/4.54 , Z ) }.
% 4.15/4.54 parent0: (23948) {G0,W9,D2,L2,V3,M2} { ! midp( X, Y, Z ), cong( X, Y, X, Z
% 4.15/4.54 ) }.
% 4.15/4.54 substitution0:
% 4.15/4.54 X := X
% 4.15/4.54 Y := Y
% 4.15/4.54 Z := Z
% 4.15/4.54 end
% 4.15/4.54 permutation0:
% 4.15/4.54 0 ==> 0
% 4.15/4.54 1 ==> 1
% 4.15/4.54 end
% 4.15/4.54
% 4.15/4.54 subsumption: (69) {G0,W8,D2,L2,V3,M2} I { ! midp( X, Y, Z ), coll( X, Y, Z
% 4.15/4.54 ) }.
% 4.15/4.54 parent0: (23949) {G0,W8,D2,L2,V3,M2} { ! midp( X, Y, Z ), coll( X, Y, Z )
% 4.15/4.54 }.
% 4.15/4.54 substitution0:
% 4.15/4.54 X := X
% 4.15/4.54 Y := Y
% 4.15/4.54 Z := Z
% 4.15/4.54 end
% 4.15/4.54 permutation0:
% 4.15/4.54 0 ==> 0
% 4.15/4.54 1 ==> 1
% 4.15/4.54 end
% 4.15/4.54
% 4.15/4.54 subsumption: (88) {G0,W22,D3,L5,V7,M5} I { ! midp( Z, X, Y ), ! midp( W, T
% 4.15/4.54 , U ), ! coll( T, X, Y ), ! coll( U, X, Y ), midp( skol7( X, V0 ), X, V0
% 4.15/4.54 ) }.
% 4.15/4.54 parent0: (23969) {G0,W22,D3,L5,V7,M5} { ! midp( Z, X, Y ), ! midp( W, T, U
% 4.15/4.54 ), ! coll( T, X, Y ), ! coll( U, X, Y ), midp( skol7( X, V0 ), X, V0 )
% 4.15/4.54 }.
% 4.15/4.54 substitution0:
% 4.15/4.54 X := X
% 4.15/4.54 Y := Y
% 4.15/4.54 Z := Z
% 4.15/4.54 T := T
% 4.15/4.54 U := U
% 4.15/4.54 W := W
% 4.15/4.54 V0 := V0
% 4.15/4.54 end
% 4.15/4.54 permutation0:
% 4.15/4.54 0 ==> 0
% 4.15/4.54 1 ==> 1
% 4.15/4.54 2 ==> 2
% 4.15/4.54 3 ==> 3
% 4.15/4.54 4 ==> 4
% 4.15/4.54 end
% 4.15/4.54
% 4.15/4.54 *** allocated 576640 integers for termspace/termends
% 4.15/4.54 subsumption: (100) {G0,W12,D3,L2,V4,M2} I { ! circle( Y, X, Z, T ), perp(
% 4.15/4.54 skol12( X, Y ), X, X, Y ) }.
% 4.15/4.54 parent0: (23981) {G0,W12,D3,L2,V4,M2} { ! circle( Y, X, Z, T ), perp(
% 4.15/4.54 skol12( X, Y ), X, X, Y ) }.
% 4.15/4.54 substitution0:
% 4.15/4.54 X := X
% 4.15/4.54 Y := Y
% 4.15/4.54 Z := Z
% 4.15/4.54 T := T
% 4.15/4.54 end
% 4.15/4.54 permutation0:
% 4.15/4.54 0 ==> 0
% 4.15/4.54 1 ==> 1
% 4.15/4.54 end
% 4.15/4.54
% 4.15/4.54 subsumption: (110) {G0,W17,D3,L3,V5,M3} I { ! perp( X, U, U, T ), ! coll( T
% 4.15/4.54 , Y, Z ), perp( skol16( X, Y, Z ), X, Y, Z ) }.
% 4.15/4.54 parent0: (23991) {G0,W17,D3,L3,V5,M3} { ! perp( X, U, U, T ), ! coll( T, Y
% 4.15/4.54 , Z ), perp( skol16( X, Y, Z ), X, Y, Z ) }.
% 4.15/4.54 substitution0:
% 4.15/4.54 X := X
% 4.15/4.54 Y := Y
% 4.15/4.54 Z := Z
% 4.15/4.54 T := T
% 4.15/4.54 U := U
% 4.15/4.54 end
% 4.15/4.54 permutation0:
% 4.15/4.54 0 ==> 0
% 4.15/4.54 1 ==> 1
% 4.15/4.54 2 ==> 2
% 4.15/4.54 end
% 4.15/4.54
% 4.15/4.54 subsumption: (122) {G0,W4,D2,L1,V0,M1} I { midp( skol24, skol28, skol26 )
% 4.15/4.54 }.
% 4.15/4.54 parent0: (24003) {G0,W4,D2,L1,V0,M1} { midp( skol24, skol28, skol26 ) }.
% 4.15/4.54 substitution0:
% 4.15/4.54 end
% 4.15/4.54 permutation0:
% 4.15/4.54 0 ==> 0
% 4.15/4.54 end
% 4.15/4.54
% 4.15/4.54 subsumption: (125) {G0,W5,D2,L1,V0,M1} I { ! para( skol23, skol22, skol20,
% 4.15/4.54 skol24 ) }.
% 4.15/4.54 parent0: (24006) {G0,W5,D2,L1,V0,M1} { ! para( skol23, skol22, skol20,
% 4.15/4.54 skol24 ) }.
% 4.15/4.54 substitution0:
% 4.15/4.54 end
% 4.15/4.54 permutation0:
% 4.15/4.54 0 ==> 0
% 4.15/4.54 end
% 4.15/4.54
% 4.15/4.54 factor: (24404) {G0,W10,D2,L2,V3,M2} { ! cong( X, Y, X, Z ), circle( X, Y
% 4.15/4.54 , Z, Z ) }.
% 4.15/4.54 parent0[0, 1]: (11) {G0,W15,D2,L3,V4,M3} I { ! cong( T, X, T, Y ), ! cong(
% 4.15/4.54 T, X, T, Z ), circle( T, X, Y, Z ) }.
% 4.15/4.54 substitution0:
% 4.15/4.54 X := Y
% 4.15/4.54 Y := Z
% 4.15/4.54 Z := Z
% 4.15/4.54 T := X
% 4.15/4.54 end
% 4.15/4.54
% 4.15/4.54 subsumption: (128) {G1,W10,D2,L2,V3,M2} F(11) { ! cong( X, Y, X, Z ),
% 4.15/4.54 circle( X, Y, Z, Z ) }.
% 4.15/4.54 parent0: (24404) {G0,W10,D2,L2,V3,M2} { ! cong( X, Y, X, Z ), circle( X, Y
% 4.15/4.54 , Z, Z ) }.
% 4.15/4.54 substitution0:
% 4.15/4.54 X := X
% 4.15/4.54 Y := Y
% 4.15/4.54 Z := Z
% 4.15/4.54 end
% 4.15/4.54 permutation0:
% 4.15/4.54 0 ==> 0
% 4.15/4.54 1 ==> 1
% 4.15/4.54 end
% 4.15/4.54
% 4.15/4.54 factor: (24405) {G0,W18,D3,L4,V4,M4} { ! midp( X, Y, Z ), ! coll( Y, Y, Z
% 4.15/4.54 ), ! coll( Z, Y, Z ), midp( skol7( Y, T ), Y, T ) }.
% 4.15/4.54 parent0[0, 1]: (88) {G0,W22,D3,L5,V7,M5} I { ! midp( Z, X, Y ), ! midp( W,
% 4.15/4.54 T, U ), ! coll( T, X, Y ), ! coll( U, X, Y ), midp( skol7( X, V0 ), X, V0
% 4.15/4.54 ) }.
% 4.15/4.54 substitution0:
% 4.15/4.54 X := Y
% 4.15/4.54 Y := Z
% 4.15/4.54 Z := X
% 4.15/4.54 T := Y
% 4.15/4.54 U := Z
% 4.15/4.54 W := X
% 4.15/4.54 V0 := T
% 4.15/4.54 end
% 4.15/4.54
% 4.15/4.54 subsumption: (148) {G1,W18,D3,L4,V4,M4} F(88) { ! midp( X, Y, Z ), ! coll(
% 4.15/4.54 Y, Y, Z ), ! coll( Z, Y, Z ), midp( skol7( Y, T ), Y, T ) }.
% 4.15/4.54 parent0: (24405) {G0,W18,D3,L4,V4,M4} { ! midp( X, Y, Z ), ! coll( Y, Y, Z
% 4.15/4.54 ), ! coll( Z, Y, Z ), midp( skol7( Y, T ), Y, T ) }.
% 4.15/4.54 substitution0:
% 4.15/4.54 X := X
% 4.15/4.54 Y := Y
% 4.15/4.54 Z := Z
% 4.15/4.54 T := T
% 4.15/4.54 end
% 4.15/4.54 permutation0:
% 4.15/4.54 0 ==> 0
% 4.15/4.54 1 ==> 1
% 4.15/4.54 2 ==> 2
% 4.15/4.54 3 ==> 3
% 4.15/4.54 end
% 4.15/4.54
% 4.15/4.54 resolution: (24409) {G1,W8,D2,L2,V3,M2} { coll( X, Z, Y ), ! coll( Y, X, Z
% 4.15/4.54 ) }.
% 4.15/4.54 parent0[0]: (0) {G0,W8,D2,L2,V3,M2} I { ! coll( X, Y, Z ), coll( X, Z, Y )
% 4.15/4.54 }.
% 4.15/4.54 parent1[1]: (1) {G0,W8,D2,L2,V3,M2} I { ! coll( X, Y, Z ), coll( Y, X, Z )
% 4.15/4.54 }.
% 4.15/4.54 substitution0:
% 4.15/4.54 X := X
% 4.15/4.54 Y := Y
% 4.15/4.54 Z := Z
% 4.15/4.54 end
% 4.15/4.54 substitution1:
% 4.15/4.54 X := Y
% 4.15/4.54 Y := X
% 4.15/4.54 Z := Z
% 4.15/4.54 end
% 4.15/4.54
% 4.15/4.54 subsumption: (172) {G1,W8,D2,L2,V3,M2} R(1,0) { ! coll( X, Y, Z ), coll( Y
% 4.15/4.54 , Z, X ) }.
% 4.15/4.54 parent0: (24409) {G1,W8,D2,L2,V3,M2} { coll( X, Z, Y ), ! coll( Y, X, Z )
% 4.15/4.54 }.
% 4.15/4.54 substitution0:
% 4.15/4.54 X := Y
% 4.15/4.54 Y := X
% 4.15/4.54 Z := Z
% 4.15/4.54 end
% 4.15/4.54 permutation0:
% 4.15/4.54 0 ==> 1
% 4.15/4.54 1 ==> 0
% 4.15/4.54 end
% 4.15/4.54
% 4.15/4.54 resolution: (24413) {G1,W12,D2,L3,V4,M3} { coll( X, Z, Y ), ! coll( Z, T,
% 4.15/4.54 X ), ! coll( Z, T, Y ) }.
% 4.15/4.54 parent0[0]: (0) {G0,W8,D2,L2,V3,M2} I { ! coll( X, Y, Z ), coll( X, Z, Y )
% 4.15/4.54 }.
% 4.15/4.54 parent1[2]: (2) {G0,W12,D2,L3,V4,M3} I { ! coll( X, T, Y ), ! coll( X, T, Z
% 4.15/4.54 ), coll( Y, Z, X ) }.
% 4.15/4.54 substitution0:
% 4.15/4.54 X := X
% 4.15/4.54 Y := Y
% 4.15/4.54 Z := Z
% 4.15/4.54 end
% 4.15/4.54 substitution1:
% 4.15/4.54 X := Z
% 4.15/4.54 Y := X
% 4.15/4.54 Z := Y
% 4.15/4.54 T := T
% 4.15/4.54 end
% 4.15/4.54
% 4.15/4.54 subsumption: (201) {G1,W12,D2,L3,V4,M3} R(2,0) { ! coll( X, Y, Z ), ! coll
% 4.15/4.54 ( X, Y, T ), coll( Z, X, T ) }.
% 4.15/4.54 parent0: (24413) {G1,W12,D2,L3,V4,M3} { coll( X, Z, Y ), ! coll( Z, T, X )
% 4.15/4.54 , ! coll( Z, T, Y ) }.
% 4.15/4.54 substitution0:
% 4.15/4.54 X := Z
% 4.15/4.54 Y := T
% 4.15/4.54 Z := X
% 4.15/4.54 T := Y
% 4.15/4.54 end
% 4.15/4.54 permutation0:
% 4.15/4.54 0 ==> 2
% 4.15/4.54 1 ==> 0
% 4.15/4.54 2 ==> 1
% 4.15/4.54 end
% 4.15/4.54
% 4.15/4.54 factor: (24415) {G1,W8,D2,L2,V3,M2} { ! coll( X, Y, Z ), coll( Z, X, Z )
% 4.15/4.54 }.
% 4.15/4.54 parent0[0, 1]: (201) {G1,W12,D2,L3,V4,M3} R(2,0) { ! coll( X, Y, Z ), !
% 4.15/4.54 coll( X, Y, T ), coll( Z, X, T ) }.
% 4.15/4.54 substitution0:
% 4.15/4.54 X := X
% 4.15/4.54 Y := Y
% 4.15/4.54 Z := Z
% 4.15/4.54 T := Z
% 4.15/4.54 end
% 4.15/4.54
% 4.15/4.54 subsumption: (208) {G2,W8,D2,L2,V3,M2} F(201) { ! coll( X, Y, Z ), coll( Z
% 4.15/4.54 , X, Z ) }.
% 4.15/4.54 parent0: (24415) {G1,W8,D2,L2,V3,M2} { ! coll( X, Y, Z ), coll( Z, X, Z )
% 4.15/4.54 }.
% 4.15/4.54 substitution0:
% 4.15/4.54 X := X
% 4.15/4.54 Y := Y
% 4.15/4.54 Z := Z
% 4.15/4.54 end
% 4.15/4.54 permutation0:
% 4.15/4.54 0 ==> 0
% 4.15/4.54 1 ==> 1
% 4.15/4.54 end
% 4.15/4.54
% 4.15/4.54 resolution: (24416) {G1,W5,D2,L1,V0,M1} { ! para( skol23, skol22, skol24,
% 4.15/4.54 skol20 ) }.
% 4.15/4.54 parent0[0]: (125) {G0,W5,D2,L1,V0,M1} I { ! para( skol23, skol22, skol20,
% 4.15/4.54 skol24 ) }.
% 4.15/4.54 parent1[1]: (3) {G0,W10,D2,L2,V4,M2} I { ! para( X, Y, Z, T ), para( X, Y,
% 4.15/4.54 T, Z ) }.
% 4.15/4.54 substitution0:
% 4.15/4.54 end
% 4.15/4.54 substitution1:
% 4.15/4.54 X := skol23
% 4.15/4.54 Y := skol22
% 4.15/4.54 Z := skol24
% 4.15/4.54 T := skol20
% 4.15/4.54 end
% 4.15/4.54
% 4.15/4.54 subsumption: (255) {G1,W5,D2,L1,V0,M1} R(125,3) { ! para( skol23, skol22,
% 4.15/4.54 skol24, skol20 ) }.
% 4.15/4.54 parent0: (24416) {G1,W5,D2,L1,V0,M1} { ! para( skol23, skol22, skol24,
% 4.15/4.54 skol20 ) }.
% 4.15/4.54 substitution0:
% 4.15/4.54 end
% 4.15/4.54 permutation0:
% 4.15/4.54 0 ==> 0
% 4.15/4.54 end
% 4.15/4.54
% 4.15/4.54 resolution: (24417) {G1,W10,D2,L2,V2,M2} { ! para( skol23, skol22, X, Y )
% 4.15/4.54 , ! para( X, Y, skol24, skol20 ) }.
% 4.15/4.54 parent0[0]: (255) {G1,W5,D2,L1,V0,M1} R(125,3) { ! para( skol23, skol22,
% 4.15/4.54 skol24, skol20 ) }.
% 4.15/4.54 parent1[2]: (5) {G0,W15,D2,L3,V6,M3} I { ! para( X, Y, U, W ), ! para( U, W
% 4.15/4.54 , Z, T ), para( X, Y, Z, T ) }.
% 4.15/4.54 substitution0:
% 4.15/4.54 end
% 4.15/4.54 substitution1:
% 4.15/4.54 X := skol23
% 4.15/4.54 Y := skol22
% 4.15/4.54 Z := skol24
% 4.15/4.54 T := skol20
% 4.15/4.54 U := X
% 4.15/4.54 W := Y
% 4.15/4.54 end
% 4.15/4.54
% 4.15/4.54 subsumption: (269) {G2,W10,D2,L2,V2,M2} R(255,5) { ! para( skol23, skol22,
% 4.15/4.54 X, Y ), ! para( X, Y, skol24, skol20 ) }.
% 4.15/4.54 parent0: (24417) {G1,W10,D2,L2,V2,M2} { ! para( skol23, skol22, X, Y ), !
% 4.15/4.54 para( X, Y, skol24, skol20 ) }.
% 4.15/4.54 substitution0:
% 4.15/4.54 X := X
% 4.15/4.54 Y := Y
% 4.15/4.54 end
% 4.15/4.54 permutation0:
% 4.15/4.54 0 ==> 0
% 4.15/4.54 1 ==> 1
% 4.15/4.54 end
% 4.15/4.54
% 4.15/4.54 resolution: (24418) {G1,W15,D2,L3,V6,M3} { ! perp( Z, T, U, W ), para( X,
% 4.15/4.54 Y, U, W ), ! perp( Z, T, X, Y ) }.
% 4.15/4.54 parent0[0]: (8) {G0,W15,D2,L3,V6,M3} I { ! perp( X, Y, U, W ), ! perp( U, W
% 4.15/4.54 , Z, T ), para( X, Y, Z, T ) }.
% 4.15/4.54 parent1[1]: (7) {G0,W10,D2,L2,V4,M2} I { ! perp( X, Y, Z, T ), perp( Z, T,
% 4.15/4.54 X, Y ) }.
% 4.15/4.54 substitution0:
% 4.15/4.54 X := X
% 4.15/4.54 Y := Y
% 4.15/4.54 Z := U
% 4.15/4.54 T := W
% 4.15/4.54 U := Z
% 4.15/4.54 W := T
% 4.15/4.54 end
% 4.15/4.54 substitution1:
% 4.15/4.54 X := Z
% 4.15/4.54 Y := T
% 4.15/4.54 Z := X
% 4.15/4.54 T := Y
% 4.15/4.54 end
% 4.15/4.54
% 4.15/4.54 subsumption: (275) {G1,W15,D2,L3,V6,M3} R(8,7) { ! perp( X, Y, Z, T ), para
% 4.15/4.54 ( U, W, Z, T ), ! perp( X, Y, U, W ) }.
% 4.15/4.54 parent0: (24418) {G1,W15,D2,L3,V6,M3} { ! perp( Z, T, U, W ), para( X, Y,
% 4.15/4.54 U, W ), ! perp( Z, T, X, Y ) }.
% 4.15/4.54 substitution0:
% 4.15/4.54 X := U
% 4.15/4.54 Y := W
% 4.15/4.54 Z := X
% 4.15/4.54 T := Y
% 4.15/4.54 U := Z
% 4.15/4.54 W := T
% 4.15/4.54 end
% 4.15/4.54 permutation0:
% 4.15/4.54 0 ==> 0
% 4.15/4.54 1 ==> 1
% 4.15/4.54 2 ==> 2
% 4.15/4.54 end
% 4.15/4.54
% 4.15/4.54 resolution: (24423) {G1,W15,D2,L3,V6,M3} { ! perp( X, Y, Z, T ), para( X,
% 4.15/4.54 Y, U, W ), ! perp( U, W, Z, T ) }.
% 4.15/4.54 parent0[1]: (8) {G0,W15,D2,L3,V6,M3} I { ! perp( X, Y, U, W ), ! perp( U, W
% 4.15/4.54 , Z, T ), para( X, Y, Z, T ) }.
% 4.15/4.54 parent1[1]: (7) {G0,W10,D2,L2,V4,M2} I { ! perp( X, Y, Z, T ), perp( Z, T,
% 4.15/4.54 X, Y ) }.
% 4.15/4.54 substitution0:
% 4.15/4.54 X := X
% 4.15/4.54 Y := Y
% 4.15/4.54 Z := U
% 4.15/4.54 T := W
% 4.15/4.54 U := Z
% 4.15/4.54 W := T
% 4.15/4.54 end
% 4.15/4.54 substitution1:
% 4.15/4.54 X := U
% 4.15/4.54 Y := W
% 4.15/4.54 Z := Z
% 4.15/4.54 T := T
% 4.15/4.54 end
% 4.15/4.54
% 4.15/4.54 subsumption: (276) {G1,W15,D2,L3,V6,M3} R(8,7) { ! perp( X, Y, Z, T ), para
% 4.15/4.54 ( X, Y, U, W ), ! perp( U, W, Z, T ) }.
% 4.15/4.54 parent0: (24423) {G1,W15,D2,L3,V6,M3} { ! perp( X, Y, Z, T ), para( X, Y,
% 4.15/4.54 U, W ), ! perp( U, W, Z, T ) }.
% 4.15/4.54 substitution0:
% 4.15/4.54 X := X
% 4.15/4.54 Y := Y
% 4.15/4.54 Z := Z
% 4.15/4.54 T := T
% 4.15/4.54 U := U
% 4.15/4.54 W := W
% 4.15/4.54 end
% 4.15/4.54 permutation0:
% 4.15/4.54 0 ==> 0
% 4.15/4.54 1 ==> 1
% 4.15/4.54 2 ==> 2
% 4.15/4.54 end
% 4.15/4.54
% 4.15/4.54 factor: (24426) {G1,W10,D2,L2,V4,M2} { ! perp( X, Y, Z, T ), para( X, Y, X
% 4.15/4.54 , Y ) }.
% 4.15/4.54 parent0[0, 2]: (276) {G1,W15,D2,L3,V6,M3} R(8,7) { ! perp( X, Y, Z, T ),
% 4.15/4.54 para( X, Y, U, W ), ! perp( U, W, Z, T ) }.
% 4.15/4.54 substitution0:
% 4.15/4.54 X := X
% 4.15/4.54 Y := Y
% 4.15/4.54 Z := Z
% 4.15/4.54 T := T
% 4.15/4.54 U := X
% 4.15/4.54 W := Y
% 4.15/4.54 end
% 4.15/4.54
% 4.15/4.54 subsumption: (291) {G2,W10,D2,L2,V4,M2} F(276) { ! perp( X, Y, Z, T ), para
% 4.15/4.54 ( X, Y, X, Y ) }.
% 4.15/4.54 parent0: (24426) {G1,W10,D2,L2,V4,M2} { ! perp( X, Y, Z, T ), para( X, Y,
% 4.15/4.54 X, Y ) }.
% 4.15/4.54 substitution0:
% 4.15/4.54 X := X
% 4.15/4.54 Y := Y
% 4.15/4.54 Z := Z
% 4.15/4.54 T := T
% 4.15/4.54 end
% 4.15/4.54 permutation0:
% 4.15/4.54 0 ==> 0
% 4.15/4.54 1 ==> 1
% 4.15/4.54 end
% 4.15/4.54
% 4.15/4.54 resolution: (24427) {G1,W12,D2,L3,V4,M3} { coll( Z, X, Z ), ! coll( Z, T,
% 4.15/4.54 X ), ! coll( Z, T, Y ) }.
% 4.15/4.54 parent0[0]: (208) {G2,W8,D2,L2,V3,M2} F(201) { ! coll( X, Y, Z ), coll( Z,
% 4.15/4.54 X, Z ) }.
% 4.15/4.54 parent1[2]: (2) {G0,W12,D2,L3,V4,M3} I { ! coll( X, T, Y ), ! coll( X, T, Z
% 4.15/4.54 ), coll( Y, Z, X ) }.
% 4.15/4.54 substitution0:
% 4.15/4.54 X := X
% 4.15/4.54 Y := Y
% 4.15/4.54 Z := Z
% 4.15/4.54 end
% 4.15/4.54 substitution1:
% 4.15/4.54 X := Z
% 4.15/4.54 Y := X
% 4.15/4.54 Z := Y
% 4.15/4.54 T := T
% 4.15/4.54 end
% 4.15/4.54
% 4.15/4.54 subsumption: (342) {G3,W12,D2,L3,V4,M3} R(208,2) { coll( X, Y, X ), ! coll
% 4.15/4.54 ( X, Z, Y ), ! coll( X, Z, T ) }.
% 4.15/4.54 parent0: (24427) {G1,W12,D2,L3,V4,M3} { coll( Z, X, Z ), ! coll( Z, T, X )
% 4.15/4.54 , ! coll( Z, T, Y ) }.
% 4.15/4.54 substitution0:
% 4.15/4.54 X := Y
% 4.15/4.54 Y := Y
% 4.15/4.54 Z := X
% 4.15/4.54 T := Z
% 4.15/4.54 end
% 4.15/4.54 permutation0:
% 4.15/4.54 0 ==> 0
% 4.15/4.54 1 ==> 1
% 4.15/4.54 2 ==> 1
% 4.15/4.54 end
% 4.15/4.54
% 4.15/4.54 resolution: (24429) {G1,W8,D2,L2,V3,M2} { coll( Z, X, Z ), ! coll( Y, X, Z
% 4.15/4.54 ) }.
% 4.15/4.54 parent0[0]: (208) {G2,W8,D2,L2,V3,M2} F(201) { ! coll( X, Y, Z ), coll( Z,
% 4.15/4.54 X, Z ) }.
% 4.15/4.54 parent1[1]: (1) {G0,W8,D2,L2,V3,M2} I { ! coll( X, Y, Z ), coll( Y, X, Z )
% 4.15/4.54 }.
% 4.15/4.54 substitution0:
% 4.15/4.54 X := X
% 4.15/4.54 Y := Y
% 4.15/4.54 Z := Z
% 4.15/4.54 end
% 4.15/4.54 substitution1:
% 4.15/4.54 X := Y
% 4.15/4.54 Y := X
% 4.15/4.54 Z := Z
% 4.15/4.54 end
% 4.15/4.54
% 4.15/4.54 subsumption: (348) {G3,W8,D2,L2,V3,M2} R(208,1) { coll( X, Y, X ), ! coll(
% 4.15/4.54 Z, Y, X ) }.
% 4.15/4.54 parent0: (24429) {G1,W8,D2,L2,V3,M2} { coll( Z, X, Z ), ! coll( Y, X, Z )
% 4.15/4.54 }.
% 4.15/4.54 substitution0:
% 4.15/4.54 X := Y
% 4.15/4.54 Y := Z
% 4.15/4.54 Z := X
% 4.15/4.54 end
% 4.15/4.54 permutation0:
% 4.15/4.54 0 ==> 0
% 4.15/4.54 1 ==> 1
% 4.15/4.54 end
% 4.15/4.54
% 4.15/4.54 factor: (24430) {G3,W8,D2,L2,V3,M2} { coll( X, Y, X ), ! coll( X, Z, Y )
% 4.15/4.54 }.
% 4.15/4.54 parent0[1, 2]: (342) {G3,W12,D2,L3,V4,M3} R(208,2) { coll( X, Y, X ), !
% 4.15/4.54 coll( X, Z, Y ), ! coll( X, Z, T ) }.
% 4.15/4.54 substitution0:
% 4.15/4.54 X := X
% 4.15/4.54 Y := Y
% 4.15/4.54 Z := Z
% 4.15/4.54 T := Y
% 4.15/4.54 end
% 4.15/4.54
% 4.15/4.54 subsumption: (358) {G4,W8,D2,L2,V3,M2} F(342) { coll( X, Y, X ), ! coll( X
% 4.15/4.54 , Z, Y ) }.
% 4.15/4.54 parent0: (24430) {G3,W8,D2,L2,V3,M2} { coll( X, Y, X ), ! coll( X, Z, Y )
% 4.15/4.54 }.
% 4.15/4.54 substitution0:
% 4.15/4.54 X := X
% 4.15/4.54 Y := Y
% 4.15/4.54 Z := Z
% 4.15/4.54 end
% 4.15/4.54 permutation0:
% 4.15/4.54 0 ==> 0
% 4.15/4.54 1 ==> 1
% 4.15/4.54 end
% 4.15/4.54
% 4.15/4.54 resolution: (24431) {G1,W4,D2,L1,V0,M1} { midp( skol24, skol26, skol28 )
% 4.15/4.54 }.
% 4.15/4.54 parent0[0]: (10) {G0,W8,D2,L2,V3,M2} I { ! midp( Z, Y, X ), midp( Z, X, Y )
% 4.15/4.54 }.
% 4.15/4.54 parent1[0]: (122) {G0,W4,D2,L1,V0,M1} I { midp( skol24, skol28, skol26 )
% 4.15/4.54 }.
% 4.15/4.54 substitution0:
% 4.15/4.54 X := skol26
% 4.15/4.54 Y := skol28
% 4.15/4.54 Z := skol24
% 4.15/4.54 end
% 4.15/4.54 substitution1:
% 4.15/4.54 end
% 4.15/4.54
% 4.15/4.54 subsumption: (360) {G1,W4,D2,L1,V0,M1} R(10,122) { midp( skol24, skol26,
% 4.15/4.54 skol28 ) }.
% 4.15/4.54 parent0: (24431) {G1,W4,D2,L1,V0,M1} { midp( skol24, skol26, skol28 ) }.
% 4.15/4.54 substitution0:
% 4.15/4.54 end
% 4.15/4.54 permutation0:
% 4.15/4.54 0 ==> 0
% 4.15/4.54 end
% 4.15/4.54
% 4.15/4.54 resolution: (24433) {G1,W10,D2,L2,V4,M2} { cyclic( X, Y, T, Z ), ! cyclic
% 4.15/4.54 ( X, Z, Y, T ) }.
% 4.15/4.54 parent0[0]: (13) {G0,W10,D2,L2,V4,M2} I { ! cyclic( X, Y, Z, T ), cyclic( X
% 4.15/4.54 , Y, T, Z ) }.
% 4.15/4.54 parent1[1]: (14) {G0,W10,D2,L2,V4,M2} I { ! cyclic( X, Y, Z, T ), cyclic( X
% 4.15/4.54 , Z, Y, T ) }.
% 4.15/4.54 substitution0:
% 4.15/4.54 X := X
% 4.15/4.54 Y := Y
% 4.15/4.54 Z := Z
% 4.15/4.54 T := T
% 4.15/4.54 end
% 4.15/4.54 substitution1:
% 4.15/4.54 X := X
% 4.15/4.54 Y := Z
% 4.15/4.54 Z := Y
% 4.15/4.54 T := T
% 4.15/4.54 end
% 4.15/4.54
% 4.15/4.54 subsumption: (387) {G1,W10,D2,L2,V4,M2} R(14,13) { ! cyclic( X, Y, Z, T ),
% 4.15/4.54 cyclic( X, Z, T, Y ) }.
% 4.15/4.54 parent0: (24433) {G1,W10,D2,L2,V4,M2} { cyclic( X, Y, T, Z ), ! cyclic( X
% 4.15/4.54 , Z, Y, T ) }.
% 4.15/4.54 substitution0:
% 4.15/4.54 X := X
% 4.15/4.54 Y := Z
% 4.15/4.54 Z := Y
% 4.15/4.54 T := T
% 4.15/4.54 end
% 4.15/4.54 permutation0:
% 4.15/4.54 0 ==> 1
% 4.15/4.54 1 ==> 0
% 4.15/4.54 end
% 4.15/4.54
% 4.15/4.54 resolution: (24435) {G1,W10,D2,L2,V4,M2} { cyclic( X, Z, Y, T ), ! cyclic
% 4.15/4.54 ( Y, X, Z, T ) }.
% 4.15/4.54 parent0[0]: (14) {G0,W10,D2,L2,V4,M2} I { ! cyclic( X, Y, Z, T ), cyclic( X
% 4.15/4.54 , Z, Y, T ) }.
% 4.15/4.54 parent1[1]: (15) {G0,W10,D2,L2,V4,M2} I { ! cyclic( X, Y, Z, T ), cyclic( Y
% 4.15/4.54 , X, Z, T ) }.
% 4.15/4.54 substitution0:
% 4.15/4.54 X := X
% 4.15/4.54 Y := Y
% 4.15/4.54 Z := Z
% 4.15/4.54 T := T
% 4.15/4.54 end
% 4.15/4.54 substitution1:
% 4.15/4.54 X := Y
% 4.15/4.54 Y := X
% 4.15/4.54 Z := Z
% 4.15/4.54 T := T
% 4.15/4.54 end
% 4.15/4.54
% 4.15/4.54 subsumption: (396) {G1,W10,D2,L2,V4,M2} R(15,14) { ! cyclic( X, Y, Z, T ),
% 4.15/4.54 cyclic( Y, Z, X, T ) }.
% 4.15/4.54 parent0: (24435) {G1,W10,D2,L2,V4,M2} { cyclic( X, Z, Y, T ), ! cyclic( Y
% 4.15/4.54 , X, Z, T ) }.
% 4.15/4.54 substitution0:
% 4.15/4.54 X := Y
% 4.15/4.54 Y := X
% 4.15/4.54 Z := Z
% 4.15/4.54 T := T
% 4.15/4.54 end
% 4.15/4.54 permutation0:
% 4.15/4.54 0 ==> 1
% 4.15/4.54 1 ==> 0
% 4.15/4.54 end
% 4.15/4.54
% 4.15/4.54 resolution: (24437) {G1,W15,D2,L3,V5,M3} { ! cyclic( X, Y, Z, T ), cyclic
% 4.15/4.54 ( Y, Z, T, U ), ! cyclic( X, Y, U, Z ) }.
% 4.15/4.54 parent0[1]: (16) {G0,W15,D2,L3,V5,M3} I { ! cyclic( U, X, Y, Z ), ! cyclic
% 4.15/4.54 ( U, X, Y, T ), cyclic( X, Y, Z, T ) }.
% 4.15/4.54 parent1[1]: (13) {G0,W10,D2,L2,V4,M2} I { ! cyclic( X, Y, Z, T ), cyclic( X
% 4.15/4.54 , Y, T, Z ) }.
% 4.15/4.54 substitution0:
% 4.15/4.54 X := Y
% 4.15/4.54 Y := Z
% 4.15/4.54 Z := T
% 4.15/4.54 T := U
% 4.15/4.54 U := X
% 4.15/4.54 end
% 4.15/4.54 substitution1:
% 4.15/4.54 X := X
% 4.15/4.54 Y := Y
% 4.15/4.54 Z := U
% 4.15/4.54 T := Z
% 4.15/4.54 end
% 4.15/4.54
% 4.15/4.54 subsumption: (419) {G1,W15,D2,L3,V5,M3} R(16,13) { ! cyclic( X, Y, Z, T ),
% 4.15/4.54 cyclic( Y, Z, T, U ), ! cyclic( X, Y, U, Z ) }.
% 4.15/4.54 parent0: (24437) {G1,W15,D2,L3,V5,M3} { ! cyclic( X, Y, Z, T ), cyclic( Y
% 4.15/4.54 , Z, T, U ), ! cyclic( X, Y, U, Z ) }.
% 4.15/4.54 substitution0:
% 4.15/4.54 X := X
% 4.15/4.54 Y := Y
% 4.15/4.54 Z := Z
% 4.15/4.54 T := T
% 4.15/4.54 U := U
% 4.15/4.54 end
% 4.15/4.54 permutation0:
% 4.15/4.54 0 ==> 0
% 4.15/4.54 1 ==> 1
% 4.15/4.54 2 ==> 2
% 4.15/4.54 end
% 4.15/4.54
% 4.15/4.54 resolution: (24440) {G1,W8,D2,L2,V3,M2} { coll( Y, X, X ), ! coll( X, Z, Y
% 4.15/4.54 ) }.
% 4.15/4.54 parent0[0]: (1) {G0,W8,D2,L2,V3,M2} I { ! coll( X, Y, Z ), coll( Y, X, Z )
% 4.15/4.54 }.
% 4.15/4.54 parent1[0]: (358) {G4,W8,D2,L2,V3,M2} F(342) { coll( X, Y, X ), ! coll( X,
% 4.15/4.54 Z, Y ) }.
% 4.15/4.54 substitution0:
% 4.15/4.54 X := X
% 4.15/4.54 Y := Y
% 4.15/4.54 Z := X
% 4.15/4.54 end
% 4.15/4.54 substitution1:
% 4.15/4.54 X := X
% 4.15/4.54 Y := Y
% 4.15/4.54 Z := Z
% 4.15/4.54 end
% 4.15/4.54
% 4.15/4.54 subsumption: (619) {G5,W8,D2,L2,V3,M2} R(358,1) { ! coll( X, Y, Z ), coll(
% 4.15/4.54 Z, X, X ) }.
% 4.15/4.54 parent0: (24440) {G1,W8,D2,L2,V3,M2} { coll( Y, X, X ), ! coll( X, Z, Y )
% 4.15/4.54 }.
% 4.15/4.54 substitution0:
% 4.15/4.54 X := X
% 4.15/4.54 Y := Z
% 4.15/4.54 Z := Y
% 4.15/4.54 end
% 4.15/4.54 permutation0:
% 4.15/4.54 0 ==> 1
% 4.15/4.54 1 ==> 0
% 4.15/4.54 end
% 4.15/4.54
% 4.15/4.54 resolution: (24441) {G1,W8,D2,L2,V3,M2} { coll( Z, X, X ), ! coll( Y, X, Z
% 4.15/4.54 ) }.
% 4.15/4.54 parent0[0]: (619) {G5,W8,D2,L2,V3,M2} R(358,1) { ! coll( X, Y, Z ), coll( Z
% 4.15/4.54 , X, X ) }.
% 4.15/4.54 parent1[1]: (1) {G0,W8,D2,L2,V3,M2} I { ! coll( X, Y, Z ), coll( Y, X, Z )
% 4.15/4.54 }.
% 4.15/4.54 substitution0:
% 4.15/4.54 X := X
% 4.15/4.54 Y := Y
% 4.15/4.54 Z := Z
% 4.15/4.54 end
% 4.15/4.54 substitution1:
% 4.15/4.54 X := Y
% 4.15/4.54 Y := X
% 4.15/4.54 Z := Z
% 4.15/4.54 end
% 4.15/4.54
% 4.15/4.54 subsumption: (624) {G6,W8,D2,L2,V3,M2} R(619,1) { coll( X, Y, Y ), ! coll(
% 4.15/4.54 Z, Y, X ) }.
% 4.15/4.54 parent0: (24441) {G1,W8,D2,L2,V3,M2} { coll( Z, X, X ), ! coll( Y, X, Z )
% 4.15/4.54 }.
% 4.15/4.54 substitution0:
% 4.15/4.54 X := Y
% 4.15/4.54 Y := Z
% 4.15/4.54 Z := X
% 4.15/4.54 end
% 4.15/4.54 permutation0:
% 4.15/4.54 0 ==> 0
% 4.15/4.54 1 ==> 1
% 4.15/4.54 end
% 4.15/4.54
% 4.15/4.54 resolution: (24442) {G1,W8,D2,L2,V3,M2} { coll( Z, X, X ), ! coll( X, Z, Y
% 4.15/4.54 ) }.
% 4.15/4.54 parent0[0]: (619) {G5,W8,D2,L2,V3,M2} R(358,1) { ! coll( X, Y, Z ), coll( Z
% 4.15/4.54 , X, X ) }.
% 4.15/4.54 parent1[1]: (0) {G0,W8,D2,L2,V3,M2} I { ! coll( X, Y, Z ), coll( X, Z, Y )
% 4.15/4.54 }.
% 4.15/4.54 substitution0:
% 4.15/4.54 X := X
% 4.15/4.54 Y := Y
% 4.15/4.54 Z := Z
% 4.15/4.54 end
% 4.15/4.54 substitution1:
% 4.15/4.54 X := X
% 4.15/4.54 Y := Z
% 4.15/4.54 Z := Y
% 4.15/4.54 end
% 4.15/4.54
% 4.15/4.54 subsumption: (625) {G6,W8,D2,L2,V3,M2} R(619,0) { coll( X, Y, Y ), ! coll(
% 4.15/4.54 Y, X, Z ) }.
% 4.15/4.54 parent0: (24442) {G1,W8,D2,L2,V3,M2} { coll( Z, X, X ), ! coll( X, Z, Y )
% 4.15/4.54 }.
% 4.15/4.54 substitution0:
% 4.15/4.54 X := Y
% 4.15/4.54 Y := Z
% 4.15/4.54 Z := X
% 4.15/4.54 end
% 4.15/4.54 permutation0:
% 4.15/4.54 0 ==> 0
% 4.15/4.54 1 ==> 1
% 4.15/4.54 end
% 4.15/4.54
% 4.15/4.54 resolution: (24443) {G7,W8,D2,L2,V3,M2} { coll( X, Y, Y ), ! coll( X, Y, Z
% 4.15/4.54 ) }.
% 4.15/4.54 parent0[1]: (625) {G6,W8,D2,L2,V3,M2} R(619,0) { coll( X, Y, Y ), ! coll( Y
% 4.15/4.54 , X, Z ) }.
% 4.15/4.54 parent1[0]: (625) {G6,W8,D2,L2,V3,M2} R(619,0) { coll( X, Y, Y ), ! coll( Y
% 4.15/4.54 , X, Z ) }.
% 4.15/4.54 substitution0:
% 4.15/4.54 X := X
% 4.15/4.54 Y := Y
% 4.15/4.54 Z := X
% 4.15/4.54 end
% 4.15/4.54 substitution1:
% 4.15/4.54 X := Y
% 4.15/4.54 Y := X
% 4.15/4.54 Z := Z
% 4.15/4.54 end
% 4.15/4.54
% 4.15/4.54 subsumption: (631) {G7,W8,D2,L2,V3,M2} R(625,625) { ! coll( X, Y, Z ), coll
% 4.15/4.54 ( X, Y, Y ) }.
% 4.15/4.54 parent0: (24443) {G7,W8,D2,L2,V3,M2} { coll( X, Y, Y ), ! coll( X, Y, Z )
% 4.15/4.54 }.
% 4.15/4.54 substitution0:
% 4.15/4.54 X := X
% 4.15/4.54 Y := Y
% 4.15/4.54 Z := Z
% 4.15/4.54 end
% 4.15/4.54 permutation0:
% 4.15/4.54 0 ==> 1
% 4.15/4.54 1 ==> 0
% 4.15/4.54 end
% 4.15/4.54
% 4.15/4.54 resolution: (24447) {G1,W12,D2,L3,V4,M3} { ! coll( X, Y, Z ), coll( Z, Y,
% 4.15/4.54 X ), ! coll( X, Y, T ) }.
% 4.15/4.54 parent0[1]: (2) {G0,W12,D2,L3,V4,M3} I { ! coll( X, T, Y ), ! coll( X, T, Z
% 4.15/4.54 ), coll( Y, Z, X ) }.
% 4.15/4.54 parent1[1]: (631) {G7,W8,D2,L2,V3,M2} R(625,625) { ! coll( X, Y, Z ), coll
% 4.15/4.54 ( X, Y, Y ) }.
% 4.15/4.54 substitution0:
% 4.15/4.54 X := X
% 4.15/4.54 Y := Z
% 4.15/4.54 Z := Y
% 4.15/4.54 T := Y
% 4.15/4.54 end
% 4.15/4.54 substitution1:
% 4.15/4.54 X := X
% 4.15/4.54 Y := Y
% 4.15/4.54 Z := T
% 4.15/4.54 end
% 4.15/4.54
% 4.15/4.54 subsumption: (634) {G8,W12,D2,L3,V4,M3} R(631,2) { ! coll( X, Y, Z ), !
% 4.15/4.54 coll( X, Y, T ), coll( T, Y, X ) }.
% 4.15/4.54 parent0: (24447) {G1,W12,D2,L3,V4,M3} { ! coll( X, Y, Z ), coll( Z, Y, X )
% 4.15/4.54 , ! coll( X, Y, T ) }.
% 4.15/4.54 substitution0:
% 4.15/4.54 X := X
% 4.15/4.54 Y := Y
% 4.15/4.54 Z := T
% 4.15/4.54 T := Z
% 4.15/4.54 end
% 4.15/4.54 permutation0:
% 4.15/4.54 0 ==> 1
% 4.15/4.54 1 ==> 2
% 4.15/4.54 2 ==> 0
% 4.15/4.54 end
% 4.15/4.54
% 4.15/4.54 factor: (24450) {G8,W8,D2,L2,V3,M2} { ! coll( X, Y, Z ), coll( Z, Y, X )
% 4.15/4.54 }.
% 4.15/4.54 parent0[0, 1]: (634) {G8,W12,D2,L3,V4,M3} R(631,2) { ! coll( X, Y, Z ), !
% 4.15/4.54 coll( X, Y, T ), coll( T, Y, X ) }.
% 4.15/4.54 substitution0:
% 4.15/4.54 X := X
% 4.15/4.54 Y := Y
% 4.15/4.54 Z := Z
% 4.15/4.54 T := Z
% 4.15/4.54 end
% 4.15/4.54
% 4.15/4.54 subsumption: (635) {G9,W8,D2,L2,V3,M2} F(634) { ! coll( X, Y, Z ), coll( Z
% 4.15/4.54 , Y, X ) }.
% 4.15/4.54 parent0: (24450) {G8,W8,D2,L2,V3,M2} { ! coll( X, Y, Z ), coll( Z, Y, X )
% 4.15/4.54 }.
% 4.15/4.54 substitution0:
% 4.15/4.54 X := X
% 4.15/4.54 Y := Y
% 4.15/4.54 Z := Z
% 4.15/4.54 end
% 4.15/4.54 permutation0:
% 4.15/4.54 0 ==> 0
% 4.15/4.54 1 ==> 1
% 4.15/4.54 end
% 4.15/4.54
% 4.15/4.54 resolution: (24451) {G7,W8,D2,L2,V3,M2} { coll( Y, Y, X ), ! coll( Z, Y, X
% 4.15/4.54 ) }.
% 4.15/4.54 parent0[0]: (635) {G9,W8,D2,L2,V3,M2} F(634) { ! coll( X, Y, Z ), coll( Z,
% 4.15/4.54 Y, X ) }.
% 4.15/4.54 parent1[0]: (624) {G6,W8,D2,L2,V3,M2} R(619,1) { coll( X, Y, Y ), ! coll( Z
% 4.15/4.54 , Y, X ) }.
% 4.15/4.54 substitution0:
% 4.15/4.54 X := X
% 4.15/4.54 Y := Y
% 4.15/4.54 Z := Y
% 4.15/4.54 end
% 4.15/4.54 substitution1:
% 4.15/4.54 X := X
% 4.15/4.54 Y := Y
% 4.15/4.54 Z := Z
% 4.15/4.54 end
% 4.15/4.54
% 4.15/4.54 subsumption: (655) {G10,W8,D2,L2,V3,M2} R(635,624) { coll( X, X, Y ), !
% 4.15/4.54 coll( Z, X, Y ) }.
% 4.15/4.54 parent0: (24451) {G7,W8,D2,L2,V3,M2} { coll( Y, Y, X ), ! coll( Z, Y, X )
% 4.15/4.54 }.
% 4.15/4.54 substitution0:
% 4.15/4.54 X := Y
% 4.15/4.54 Y := X
% 4.15/4.54 Z := Z
% 4.15/4.54 end
% 4.15/4.54 permutation0:
% 4.15/4.54 0 ==> 0
% 4.15/4.54 1 ==> 1
% 4.15/4.54 end
% 4.15/4.54
% 4.15/4.54 resolution: (24452) {G1,W8,D2,L2,V3,M2} { coll( X, X, Y ), ! midp( Z, X, Y
% 4.15/4.54 ) }.
% 4.15/4.54 parent0[1]: (655) {G10,W8,D2,L2,V3,M2} R(635,624) { coll( X, X, Y ), ! coll
% 4.15/4.54 ( Z, X, Y ) }.
% 4.15/4.54 parent1[1]: (69) {G0,W8,D2,L2,V3,M2} I { ! midp( X, Y, Z ), coll( X, Y, Z )
% 4.15/4.54 }.
% 4.15/4.54 substitution0:
% 4.15/4.54 X := X
% 4.15/4.54 Y := Y
% 4.15/4.54 Z := Z
% 4.15/4.54 end
% 4.15/4.54 substitution1:
% 4.15/4.54 X := Z
% 4.15/4.54 Y := X
% 4.15/4.54 Z := Y
% 4.15/4.54 end
% 4.15/4.54
% 4.15/4.54 subsumption: (687) {G11,W8,D2,L2,V3,M2} R(69,655) { ! midp( X, Y, Z ), coll
% 4.15/4.54 ( Y, Y, Z ) }.
% 4.15/4.54 parent0: (24452) {G1,W8,D2,L2,V3,M2} { coll( X, X, Y ), ! midp( Z, X, Y )
% 4.15/4.54 }.
% 4.15/4.54 substitution0:
% 4.15/4.54 X := Y
% 4.15/4.54 Y := Z
% 4.15/4.54 Z := X
% 4.15/4.54 end
% 4.15/4.54 permutation0:
% 4.15/4.54 0 ==> 1
% 4.15/4.54 1 ==> 0
% 4.15/4.54 end
% 4.15/4.54
% 4.15/4.54 resolution: (24453) {G1,W4,D2,L1,V0,M1} { coll( skol24, skol26, skol28 )
% 4.15/4.54 }.
% 4.15/4.54 parent0[0]: (69) {G0,W8,D2,L2,V3,M2} I { ! midp( X, Y, Z ), coll( X, Y, Z )
% 4.15/4.54 }.
% 4.15/4.54 parent1[0]: (360) {G1,W4,D2,L1,V0,M1} R(10,122) { midp( skol24, skol26,
% 4.15/4.54 skol28 ) }.
% 4.15/4.54 substitution0:
% 4.15/4.54 X := skol24
% 4.15/4.54 Y := skol26
% 4.15/4.54 Z := skol28
% 4.15/4.54 end
% 4.15/4.54 substitution1:
% 4.15/4.54 end
% 4.15/4.54
% 4.15/4.54 subsumption: (701) {G2,W4,D2,L1,V0,M1} R(69,360) { coll( skol24, skol26,
% 4.15/4.54 skol28 ) }.
% 4.15/4.54 parent0: (24453) {G1,W4,D2,L1,V0,M1} { coll( skol24, skol26, skol28 ) }.
% 4.15/4.54 substitution0:
% 4.15/4.54 end
% 4.15/4.54 permutation0:
% 4.15/4.54 0 ==> 0
% 4.15/4.54 end
% 4.15/4.54
% 4.15/4.54 resolution: (24454) {G1,W8,D2,L2,V3,M2} { coll( Y, X, Z ), ! midp( X, Y, Z
% 4.15/4.54 ) }.
% 4.15/4.54 parent0[0]: (1) {G0,W8,D2,L2,V3,M2} I { ! coll( X, Y, Z ), coll( Y, X, Z )
% 4.15/4.54 }.
% 4.15/4.54 parent1[1]: (69) {G0,W8,D2,L2,V3,M2} I { ! midp( X, Y, Z ), coll( X, Y, Z )
% 4.15/4.54 }.
% 4.15/4.54 substitution0:
% 4.15/4.54 X := X
% 4.15/4.54 Y := Y
% 4.15/4.54 Z := Z
% 4.15/4.54 end
% 4.15/4.54 substitution1:
% 4.15/4.54 X := X
% 4.15/4.54 Y := Y
% 4.15/4.54 Z := Z
% 4.15/4.54 end
% 4.15/4.54
% 4.15/4.54 subsumption: (707) {G1,W8,D2,L2,V3,M2} R(69,1) { ! midp( X, Y, Z ), coll( Y
% 4.15/4.54 , X, Z ) }.
% 4.15/4.54 parent0: (24454) {G1,W8,D2,L2,V3,M2} { coll( Y, X, Z ), ! midp( X, Y, Z )
% 4.15/4.54 }.
% 4.15/4.54 substitution0:
% 4.15/4.54 X := X
% 4.15/4.54 Y := Y
% 4.15/4.54 Z := Z
% 4.15/4.54 end
% 4.15/4.54 permutation0:
% 4.15/4.54 0 ==> 1
% 4.15/4.54 1 ==> 0
% 4.15/4.54 end
% 4.15/4.54
% 4.15/4.54 resolution: (24455) {G1,W4,D2,L1,V0,M1} { coll( skol24, skol28, skol26 )
% 4.15/4.54 }.
% 4.15/4.54 parent0[0]: (69) {G0,W8,D2,L2,V3,M2} I { ! midp( X, Y, Z ), coll( X, Y, Z )
% 4.15/4.54 }.
% 4.15/4.54 parent1[0]: (122) {G0,W4,D2,L1,V0,M1} I { midp( skol24, skol28, skol26 )
% 4.15/4.54 }.
% 4.15/4.54 substitution0:
% 4.15/4.54 X := skol24
% 4.15/4.54 Y := skol28
% 4.15/4.54 Z := skol26
% 4.15/4.54 end
% 4.15/4.54 substitution1:
% 4.15/4.54 end
% 4.15/4.54
% 4.15/4.54 subsumption: (709) {G1,W4,D2,L1,V0,M1} R(69,122) { coll( skol24, skol28,
% 4.15/4.54 skol26 ) }.
% 4.15/4.54 parent0: (24455) {G1,W4,D2,L1,V0,M1} { coll( skol24, skol28, skol26 ) }.
% 4.15/4.54 substitution0:
% 4.15/4.54 end
% 4.15/4.54 permutation0:
% 4.15/4.54 0 ==> 0
% 4.15/4.54 end
% 4.15/4.54
% 4.15/4.54 resolution: (24456) {G3,W4,D2,L1,V0,M1} { coll( skol28, skol26, skol28 )
% 4.15/4.54 }.
% 4.15/4.54 parent0[1]: (348) {G3,W8,D2,L2,V3,M2} R(208,1) { coll( X, Y, X ), ! coll( Z
% 4.15/4.54 , Y, X ) }.
% 4.15/4.54 parent1[0]: (701) {G2,W4,D2,L1,V0,M1} R(69,360) { coll( skol24, skol26,
% 4.15/4.54 skol28 ) }.
% 4.15/4.54 substitution0:
% 4.15/4.54 X := skol28
% 4.15/4.54 Y := skol26
% 4.15/4.54 Z := skol24
% 4.15/4.54 end
% 4.15/4.54 substitution1:
% 4.15/4.54 end
% 4.15/4.54
% 4.15/4.54 subsumption: (714) {G4,W4,D2,L1,V0,M1} R(701,348) { coll( skol28, skol26,
% 4.15/4.54 skol28 ) }.
% 4.15/4.54 parent0: (24456) {G3,W4,D2,L1,V0,M1} { coll( skol28, skol26, skol28 ) }.
% 4.15/4.54 substitution0:
% 4.15/4.54 end
% 4.15/4.54 permutation0:
% 4.15/4.54 0 ==> 0
% 4.15/4.54 end
% 4.15/4.54
% 4.15/4.54 resolution: (24457) {G1,W14,D2,L3,V3,M3} { ! coll( X, X, Z ), cyclic( Y, Z
% 4.15/4.54 , X, X ), ! para( X, Y, X, Y ) }.
% 4.15/4.54 parent0[0]: (42) {G0,W18,D2,L3,V4,M3} I { ! eqangle( Z, X, Z, Y, T, X, T, Y
% 4.15/4.54 ), ! coll( Z, T, Y ), cyclic( X, Y, Z, T ) }.
% 4.15/4.54 parent1[1]: (39) {G0,W14,D2,L2,V6,M2} I { ! para( X, Y, Z, T ), eqangle( X
% 4.15/4.54 , Y, U, W, Z, T, U, W ) }.
% 4.15/4.54 substitution0:
% 4.15/4.54 X := Y
% 4.15/4.54 Y := Z
% 4.15/4.54 Z := X
% 4.15/4.54 T := X
% 4.15/4.54 end
% 4.15/4.54 substitution1:
% 4.15/4.54 X := X
% 4.15/4.54 Y := Y
% 4.15/4.54 Z := X
% 4.15/4.54 T := Y
% 4.15/4.54 U := X
% 4.15/4.54 W := Z
% 4.15/4.54 end
% 4.15/4.54
% 4.15/4.54 subsumption: (835) {G1,W14,D2,L3,V3,M3} R(42,39) { ! coll( X, X, Y ),
% 4.15/4.54 cyclic( Z, Y, X, X ), ! para( X, Z, X, Z ) }.
% 4.15/4.54 parent0: (24457) {G1,W14,D2,L3,V3,M3} { ! coll( X, X, Z ), cyclic( Y, Z, X
% 4.15/4.54 , X ), ! para( X, Y, X, Y ) }.
% 4.15/4.54 substitution0:
% 4.15/4.54 X := X
% 4.15/4.54 Y := Z
% 4.15/4.54 Z := Y
% 4.15/4.54 end
% 4.15/4.54 permutation0:
% 4.15/4.54 0 ==> 0
% 4.15/4.54 1 ==> 1
% 4.15/4.54 2 ==> 2
% 4.15/4.54 end
% 4.15/4.54
% 4.15/4.54 resolution: (24458) {G1,W25,D2,L5,V4,M5} { ! cyclic( X, Y, Z, X ), !
% 4.15/4.54 cyclic( X, Y, Z, Y ), ! cyclic( X, Y, Z, T ), cong( X, Y, X, Y ), !
% 4.15/4.54 cyclic( X, Y, Z, T ) }.
% 4.15/4.54 parent0[3]: (43) {G0,W29,D2,L5,V6,M5} I { ! cyclic( X, Y, U, Z ), ! cyclic
% 4.15/4.54 ( X, Y, U, T ), ! cyclic( X, Y, U, W ), ! eqangle( U, X, U, Y, W, Z, W, T
% 4.15/4.54 ), cong( X, Y, Z, T ) }.
% 4.15/4.54 parent1[1]: (40) {G0,W14,D2,L2,V4,M2} I { ! cyclic( X, Y, Z, T ), eqangle(
% 4.15/4.54 Z, X, Z, Y, T, X, T, Y ) }.
% 4.15/4.54 substitution0:
% 4.15/4.54 X := X
% 4.15/4.54 Y := Y
% 4.15/4.54 Z := X
% 4.15/4.54 T := Y
% 4.15/4.54 U := Z
% 4.15/4.54 W := T
% 4.15/4.54 end
% 4.15/4.54 substitution1:
% 4.15/4.54 X := X
% 4.15/4.54 Y := Y
% 4.15/4.54 Z := Z
% 4.15/4.54 T := T
% 4.15/4.54 end
% 4.15/4.54
% 4.15/4.54 factor: (24460) {G1,W20,D2,L4,V3,M4} { ! cyclic( X, Y, Z, X ), ! cyclic( X
% 4.15/4.54 , Y, Z, Y ), cong( X, Y, X, Y ), ! cyclic( X, Y, Z, X ) }.
% 4.15/4.54 parent0[0, 2]: (24458) {G1,W25,D2,L5,V4,M5} { ! cyclic( X, Y, Z, X ), !
% 4.15/4.54 cyclic( X, Y, Z, Y ), ! cyclic( X, Y, Z, T ), cong( X, Y, X, Y ), !
% 4.15/4.54 cyclic( X, Y, Z, T ) }.
% 4.15/4.54 substitution0:
% 4.15/4.54 X := X
% 4.15/4.54 Y := Y
% 4.15/4.54 Z := Z
% 4.15/4.54 T := X
% 4.15/4.54 end
% 4.15/4.54
% 4.15/4.54 subsumption: (1006) {G1,W20,D2,L4,V4,M4} R(43,40);f { ! cyclic( X, Y, Z, X
% 4.15/4.54 ), ! cyclic( X, Y, Z, Y ), ! cyclic( X, Y, Z, T ), cong( X, Y, X, Y )
% 4.15/4.54 }.
% 4.15/4.54 parent0: (24460) {G1,W20,D2,L4,V3,M4} { ! cyclic( X, Y, Z, X ), ! cyclic(
% 4.15/4.54 X, Y, Z, Y ), cong( X, Y, X, Y ), ! cyclic( X, Y, Z, X ) }.
% 4.15/4.54 substitution0:
% 4.15/4.54 X := X
% 4.15/4.54 Y := Y
% 4.15/4.54 Z := Z
% 4.15/4.54 end
% 4.15/4.54 permutation0:
% 4.15/4.54 0 ==> 0
% 4.15/4.54 1 ==> 1
% 4.15/4.54 2 ==> 3
% 4.15/4.54 3 ==> 0
% 4.15/4.54 end
% 4.15/4.54
% 4.15/4.54 factor: (24465) {G1,W15,D2,L3,V3,M3} { ! cyclic( X, Y, Z, X ), ! cyclic( X
% 4.15/4.54 , Y, Z, Y ), cong( X, Y, X, Y ) }.
% 4.15/4.54 parent0[0, 2]: (1006) {G1,W20,D2,L4,V4,M4} R(43,40);f { ! cyclic( X, Y, Z,
% 4.15/4.54 X ), ! cyclic( X, Y, Z, Y ), ! cyclic( X, Y, Z, T ), cong( X, Y, X, Y )
% 4.15/4.54 }.
% 4.15/4.54 substitution0:
% 4.15/4.54 X := X
% 4.15/4.54 Y := Y
% 4.15/4.54 Z := Z
% 4.15/4.54 T := X
% 4.15/4.54 end
% 4.15/4.54
% 4.15/4.54 subsumption: (1038) {G2,W15,D2,L3,V3,M3} F(1006) { ! cyclic( X, Y, Z, X ),
% 4.15/4.54 ! cyclic( X, Y, Z, Y ), cong( X, Y, X, Y ) }.
% 4.15/4.54 parent0: (24465) {G1,W15,D2,L3,V3,M3} { ! cyclic( X, Y, Z, X ), ! cyclic(
% 4.15/4.54 X, Y, Z, Y ), cong( X, Y, X, Y ) }.
% 4.15/4.54 substitution0:
% 4.15/4.54 X := X
% 4.15/4.54 Y := Y
% 4.15/4.54 Z := Z
% 4.15/4.54 end
% 4.15/4.54 permutation0:
% 4.15/4.54 0 ==> 0
% 4.15/4.54 1 ==> 1
% 4.15/4.54 2 ==> 2
% 4.15/4.54 end
% 4.15/4.54
% 4.15/4.54 resolution: (24467) {G1,W8,D2,L2,V1,M2} { ! coll( skol24, skol28, X ),
% 4.15/4.54 coll( skol26, X, skol24 ) }.
% 4.15/4.54 parent0[0]: (2) {G0,W12,D2,L3,V4,M3} I { ! coll( X, T, Y ), ! coll( X, T, Z
% 4.15/4.54 ), coll( Y, Z, X ) }.
% 4.15/4.54 parent1[0]: (709) {G1,W4,D2,L1,V0,M1} R(69,122) { coll( skol24, skol28,
% 4.15/4.54 skol26 ) }.
% 4.15/4.54 substitution0:
% 4.15/4.54 X := skol24
% 4.15/4.54 Y := skol26
% 4.15/4.54 Z := X
% 4.15/4.54 T := skol28
% 4.15/4.54 end
% 4.15/4.54 substitution1:
% 4.15/4.54 end
% 4.15/4.54
% 4.15/4.54 subsumption: (1320) {G2,W8,D2,L2,V1,M2} R(709,2) { ! coll( skol24, skol28,
% 4.15/4.54 X ), coll( skol26, X, skol24 ) }.
% 4.15/4.54 parent0: (24467) {G1,W8,D2,L2,V1,M2} { ! coll( skol24, skol28, X ), coll(
% 4.15/4.54 skol26, X, skol24 ) }.
% 4.15/4.54 substitution0:
% 4.15/4.54 X := X
% 4.15/4.54 end
% 4.15/4.54 permutation0:
% 4.15/4.54 0 ==> 0
% 4.15/4.54 1 ==> 1
% 4.15/4.54 end
% 4.15/4.54
% 4.15/4.54 resolution: (24469) {G2,W8,D2,L2,V1,M2} { coll( skol26, X, skol24 ), !
% 4.15/4.54 coll( X, skol24, skol28 ) }.
% 4.15/4.54 parent0[0]: (1320) {G2,W8,D2,L2,V1,M2} R(709,2) { ! coll( skol24, skol28, X
% 4.15/4.54 ), coll( skol26, X, skol24 ) }.
% 4.15/4.54 parent1[1]: (172) {G1,W8,D2,L2,V3,M2} R(1,0) { ! coll( X, Y, Z ), coll( Y,
% 4.15/4.54 Z, X ) }.
% 4.15/4.54 substitution0:
% 4.15/4.54 X := X
% 4.15/4.54 end
% 4.15/4.54 substitution1:
% 4.15/4.54 X := X
% 4.15/4.54 Y := skol24
% 4.15/4.54 Z := skol28
% 4.15/4.54 end
% 4.15/4.54
% 4.15/4.54 subsumption: (1707) {G3,W8,D2,L2,V1,M2} R(1320,172) { coll( skol26, X,
% 4.15/4.54 skol24 ), ! coll( X, skol24, skol28 ) }.
% 4.15/4.54 parent0: (24469) {G2,W8,D2,L2,V1,M2} { coll( skol26, X, skol24 ), ! coll(
% 4.15/4.54 X, skol24, skol28 ) }.
% 4.15/4.54 substitution0:
% 4.15/4.54 X := X
% 4.15/4.54 end
% 4.15/4.54 permutation0:
% 4.15/4.54 0 ==> 0
% 4.15/4.54 1 ==> 1
% 4.15/4.54 end
% 4.15/4.54
% 4.15/4.54 resolution: (24470) {G1,W5,D2,L1,V0,M1} { cong( skol24, skol26, skol24,
% 4.15/4.54 skol28 ) }.
% 4.15/4.54 parent0[0]: (68) {G0,W9,D2,L2,V3,M2} I { ! midp( X, Y, Z ), cong( X, Y, X,
% 4.15/4.54 Z ) }.
% 4.15/4.54 parent1[0]: (360) {G1,W4,D2,L1,V0,M1} R(10,122) { midp( skol24, skol26,
% 4.15/4.54 skol28 ) }.
% 4.15/4.54 substitution0:
% 4.15/4.54 X := skol24
% 4.15/4.54 Y := skol26
% 4.15/4.54 Z := skol28
% 4.15/4.54 end
% 4.15/4.54 substitution1:
% 4.15/4.54 end
% 4.15/4.54
% 4.15/4.54 subsumption: (2513) {G2,W5,D2,L1,V0,M1} R(68,360) { cong( skol24, skol26,
% 4.15/4.54 skol24, skol28 ) }.
% 4.15/4.54 parent0: (24470) {G1,W5,D2,L1,V0,M1} { cong( skol24, skol26, skol24,
% 4.15/4.54 skol28 ) }.
% 4.15/4.54 substitution0:
% 4.15/4.54 end
% 4.15/4.54 permutation0:
% 4.15/4.54 0 ==> 0
% 4.15/4.54 end
% 4.15/4.54
% 4.15/4.54 resolution: (24472) {G2,W8,D2,L2,V1,M2} { coll( X, skol24, skol26 ), !
% 4.15/4.54 coll( X, skol24, skol28 ) }.
% 4.15/4.54 parent0[0]: (172) {G1,W8,D2,L2,V3,M2} R(1,0) { ! coll( X, Y, Z ), coll( Y,
% 4.15/4.54 Z, X ) }.
% 4.15/4.54 parent1[0]: (1707) {G3,W8,D2,L2,V1,M2} R(1320,172) { coll( skol26, X,
% 4.15/4.54 skol24 ), ! coll( X, skol24, skol28 ) }.
% 4.15/4.54 substitution0:
% 4.15/4.54 X := skol26
% 4.15/4.54 Y := X
% 4.15/4.54 Z := skol24
% 4.15/4.54 end
% 4.15/4.54 substitution1:
% 4.15/4.54 X := X
% 4.15/4.54 end
% 4.15/4.54
% 4.15/4.54 subsumption: (3157) {G4,W8,D2,L2,V1,M2} R(1707,172) { ! coll( X, skol24,
% 4.15/4.54 skol28 ), coll( X, skol24, skol26 ) }.
% 4.15/4.54 parent0: (24472) {G2,W8,D2,L2,V1,M2} { coll( X, skol24, skol26 ), ! coll(
% 4.15/4.54 X, skol24, skol28 ) }.
% 4.15/4.54 substitution0:
% 4.15/4.54 X := X
% 4.15/4.54 end
% 4.15/4.54 permutation0:
% 4.15/4.54 0 ==> 1
% 4.15/4.54 1 ==> 0
% 4.15/4.54 end
% 4.15/4.54
% 4.15/4.54 resolution: (24475) {G1,W12,D2,L3,V2,M3} { ! coll( X, skol24, Y ), coll(
% 4.15/4.54 skol26, Y, X ), ! coll( X, skol24, skol28 ) }.
% 4.15/4.54 parent0[0]: (2) {G0,W12,D2,L3,V4,M3} I { ! coll( X, T, Y ), ! coll( X, T, Z
% 4.15/4.54 ), coll( Y, Z, X ) }.
% 4.15/4.54 parent1[1]: (3157) {G4,W8,D2,L2,V1,M2} R(1707,172) { ! coll( X, skol24,
% 4.15/4.54 skol28 ), coll( X, skol24, skol26 ) }.
% 4.15/4.54 substitution0:
% 4.15/4.54 X := X
% 4.15/4.54 Y := skol26
% 4.15/4.54 Z := Y
% 4.15/4.54 T := skol24
% 4.15/4.54 end
% 4.15/4.54 substitution1:
% 4.15/4.54 X := X
% 4.15/4.54 end
% 4.15/4.54
% 4.15/4.54 subsumption: (3177) {G5,W12,D2,L3,V2,M3} R(3157,2) { ! coll( X, skol24,
% 4.15/4.54 skol28 ), ! coll( X, skol24, Y ), coll( skol26, Y, X ) }.
% 4.15/4.54 parent0: (24475) {G1,W12,D2,L3,V2,M3} { ! coll( X, skol24, Y ), coll(
% 4.15/4.54 skol26, Y, X ), ! coll( X, skol24, skol28 ) }.
% 4.15/4.54 substitution0:
% 4.15/4.54 X := X
% 4.15/4.54 Y := Y
% 4.15/4.54 end
% 4.15/4.54 permutation0:
% 4.15/4.54 0 ==> 1
% 4.15/4.54 1 ==> 2
% 4.15/4.54 2 ==> 0
% 4.15/4.54 end
% 4.15/4.54
% 4.15/4.54 factor: (24479) {G5,W8,D2,L2,V1,M2} { ! coll( X, skol24, skol28 ), coll(
% 4.15/4.54 skol26, skol28, X ) }.
% 4.15/4.54 parent0[0, 1]: (3177) {G5,W12,D2,L3,V2,M3} R(3157,2) { ! coll( X, skol24,
% 4.15/4.54 skol28 ), ! coll( X, skol24, Y ), coll( skol26, Y, X ) }.
% 4.15/4.54 substitution0:
% 4.15/4.54 X := X
% 4.15/4.54 Y := skol28
% 4.15/4.54 end
% 4.15/4.54
% 4.15/4.54 subsumption: (3182) {G6,W8,D2,L2,V1,M2} F(3177) { ! coll( X, skol24, skol28
% 4.15/4.54 ), coll( skol26, skol28, X ) }.
% 4.15/4.54 parent0: (24479) {G5,W8,D2,L2,V1,M2} { ! coll( X, skol24, skol28 ), coll(
% 4.15/4.54 skol26, skol28, X ) }.
% 4.15/4.54 substitution0:
% 4.15/4.54 X := X
% 4.15/4.54 end
% 4.15/4.54 permutation0:
% 4.15/4.54 0 ==> 0
% 4.15/4.54 1 ==> 1
% 4.15/4.54 end
% 4.15/4.54
% 4.15/4.54 resolution: (24480) {G2,W8,D2,L2,V1,M2} { coll( skol26, skol28, X ), !
% 4.15/4.54 midp( skol24, X, skol28 ) }.
% 4.15/4.54 parent0[0]: (3182) {G6,W8,D2,L2,V1,M2} F(3177) { ! coll( X, skol24, skol28
% 4.15/4.54 ), coll( skol26, skol28, X ) }.
% 4.15/4.54 parent1[1]: (707) {G1,W8,D2,L2,V3,M2} R(69,1) { ! midp( X, Y, Z ), coll( Y
% 4.15/4.54 , X, Z ) }.
% 4.15/4.54 substitution0:
% 4.15/4.54 X := X
% 4.15/4.54 end
% 4.15/4.54 substitution1:
% 4.15/4.54 X := skol24
% 4.15/4.54 Y := X
% 4.15/4.54 Z := skol28
% 4.15/4.54 end
% 4.15/4.54
% 4.15/4.54 subsumption: (3968) {G7,W8,D2,L2,V1,M2} R(3182,707) { coll( skol26, skol28
% 4.15/4.54 , X ), ! midp( skol24, X, skol28 ) }.
% 4.15/4.54 parent0: (24480) {G2,W8,D2,L2,V1,M2} { coll( skol26, skol28, X ), ! midp(
% 4.15/4.54 skol24, X, skol28 ) }.
% 4.15/4.54 substitution0:
% 4.15/4.54 X := X
% 4.15/4.54 end
% 4.15/4.54 permutation0:
% 4.15/4.54 0 ==> 0
% 4.15/4.54 1 ==> 1
% 4.15/4.54 end
% 4.15/4.54
% 4.15/4.54 resolution: (24481) {G1,W8,D2,L2,V1,M2} { coll( skol26, X, skol28 ), !
% 4.15/4.54 midp( skol24, X, skol28 ) }.
% 4.15/4.54 parent0[0]: (0) {G0,W8,D2,L2,V3,M2} I { ! coll( X, Y, Z ), coll( X, Z, Y )
% 4.15/4.54 }.
% 4.15/4.54 parent1[0]: (3968) {G7,W8,D2,L2,V1,M2} R(3182,707) { coll( skol26, skol28,
% 4.15/4.54 X ), ! midp( skol24, X, skol28 ) }.
% 4.15/4.54 substitution0:
% 4.15/4.54 X := skol26
% 4.15/4.54 Y := skol28
% 4.15/4.54 Z := X
% 4.15/4.54 end
% 4.15/4.54 substitution1:
% 4.15/4.54 X := X
% 4.15/4.54 end
% 4.15/4.54
% 4.15/4.54 subsumption: (3995) {G8,W8,D2,L2,V1,M2} R(3968,0) { ! midp( skol24, X,
% 4.15/4.54 skol28 ), coll( skol26, X, skol28 ) }.
% 4.15/4.54 parent0: (24481) {G1,W8,D2,L2,V1,M2} { coll( skol26, X, skol28 ), ! midp(
% 4.15/4.54 skol24, X, skol28 ) }.
% 4.15/4.54 substitution0:
% 4.15/4.54 X := X
% 4.15/4.54 end
% 4.15/4.54 permutation0:
% 4.15/4.54 0 ==> 1
% 4.15/4.54 1 ==> 0
% 4.15/4.54 end
% 4.15/4.54
% 4.15/4.54 resolution: (24482) {G2,W5,D2,L1,V0,M1} { circle( skol24, skol26, skol28,
% 4.15/4.54 skol28 ) }.
% 4.15/4.54 parent0[0]: (128) {G1,W10,D2,L2,V3,M2} F(11) { ! cong( X, Y, X, Z ), circle
% 4.15/4.54 ( X, Y, Z, Z ) }.
% 4.15/4.54 parent1[0]: (2513) {G2,W5,D2,L1,V0,M1} R(68,360) { cong( skol24, skol26,
% 4.15/4.54 skol24, skol28 ) }.
% 4.15/4.54 substitution0:
% 4.15/4.54 X := skol24
% 4.15/4.54 Y := skol26
% 4.15/4.54 Z := skol28
% 4.15/4.54 end
% 4.15/4.54 substitution1:
% 4.15/4.54 end
% 4.15/4.54
% 4.15/4.54 subsumption: (7261) {G3,W5,D2,L1,V0,M1} R(128,2513) { circle( skol24,
% 4.15/4.54 skol26, skol28, skol28 ) }.
% 4.15/4.54 parent0: (24482) {G2,W5,D2,L1,V0,M1} { circle( skol24, skol26, skol28,
% 4.15/4.54 skol28 ) }.
% 4.15/4.54 substitution0:
% 4.15/4.54 end
% 4.15/4.54 permutation0:
% 4.15/4.54 0 ==> 0
% 4.15/4.54 end
% 4.15/4.54
% 4.15/4.54 resolution: (24483) {G2,W18,D3,L4,V2,M4} { ! midp( X, skol26, skol28 ), !
% 4.15/4.54 coll( skol28, skol26, skol28 ), midp( skol7( skol26, Y ), skol26, Y ), !
% 4.15/4.54 midp( skol24, skol26, skol28 ) }.
% 4.15/4.54 parent0[1]: (148) {G1,W18,D3,L4,V4,M4} F(88) { ! midp( X, Y, Z ), ! coll( Y
% 4.15/4.54 , Y, Z ), ! coll( Z, Y, Z ), midp( skol7( Y, T ), Y, T ) }.
% 4.15/4.54 parent1[1]: (3995) {G8,W8,D2,L2,V1,M2} R(3968,0) { ! midp( skol24, X,
% 4.15/4.54 skol28 ), coll( skol26, X, skol28 ) }.
% 4.15/4.54 substitution0:
% 4.15/4.54 X := X
% 4.15/4.54 Y := skol26
% 4.15/4.54 Z := skol28
% 4.15/4.54 T := Y
% 4.15/4.54 end
% 4.15/4.54 substitution1:
% 4.15/4.54 X := skol26
% 4.15/4.54 end
% 4.15/4.54
% 4.15/4.54 resolution: (24486) {G3,W14,D3,L3,V2,M3} { ! midp( X, skol26, skol28 ),
% 4.15/4.54 midp( skol7( skol26, Y ), skol26, Y ), ! midp( skol24, skol26, skol28 )
% 4.15/4.54 }.
% 4.15/4.54 parent0[1]: (24483) {G2,W18,D3,L4,V2,M4} { ! midp( X, skol26, skol28 ), !
% 4.15/4.54 coll( skol28, skol26, skol28 ), midp( skol7( skol26, Y ), skol26, Y ), !
% 4.15/4.54 midp( skol24, skol26, skol28 ) }.
% 4.15/4.54 parent1[0]: (714) {G4,W4,D2,L1,V0,M1} R(701,348) { coll( skol28, skol26,
% 4.15/4.54 skol28 ) }.
% 4.15/4.54 substitution0:
% 4.15/4.54 X := X
% 4.15/4.54 Y := Y
% 4.15/4.54 end
% 4.15/4.54 substitution1:
% 4.15/4.54 end
% 4.15/4.54
% 4.15/4.54 subsumption: (8137) {G9,W14,D3,L3,V2,M3} R(148,3995);r(714) { ! midp( X,
% 4.15/4.54 skol26, skol28 ), midp( skol7( skol26, Y ), skol26, Y ), ! midp( skol24,
% 4.15/4.54 skol26, skol28 ) }.
% 4.15/4.54 parent0: (24486) {G3,W14,D3,L3,V2,M3} { ! midp( X, skol26, skol28 ), midp
% 4.15/4.54 ( skol7( skol26, Y ), skol26, Y ), ! midp( skol24, skol26, skol28 ) }.
% 4.15/4.54 substitution0:
% 4.15/4.54 X := X
% 4.15/4.54 Y := Y
% 4.15/4.54 end
% 4.15/4.54 permutation0:
% 4.15/4.54 0 ==> 0
% 4.15/4.54 1 ==> 1
% 4.15/4.54 2 ==> 2
% 4.15/4.54 end
% 4.15/4.54
% 4.15/4.54 factor: (24488) {G9,W10,D3,L2,V1,M2} { ! midp( skol24, skol26, skol28 ),
% 4.15/4.54 midp( skol7( skol26, X ), skol26, X ) }.
% 4.15/4.54 parent0[0, 2]: (8137) {G9,W14,D3,L3,V2,M3} R(148,3995);r(714) { ! midp( X,
% 4.15/4.54 skol26, skol28 ), midp( skol7( skol26, Y ), skol26, Y ), ! midp( skol24,
% 4.15/4.54 skol26, skol28 ) }.
% 4.15/4.54 substitution0:
% 4.15/4.54 X := skol24
% 4.15/4.54 Y := X
% 4.15/4.54 end
% 4.15/4.54
% 4.15/4.54 resolution: (24489) {G2,W6,D3,L1,V1,M1} { midp( skol7( skol26, X ), skol26
% 4.15/4.54 , X ) }.
% 4.15/4.54 parent0[0]: (24488) {G9,W10,D3,L2,V1,M2} { ! midp( skol24, skol26, skol28
% 4.15/4.54 ), midp( skol7( skol26, X ), skol26, X ) }.
% 4.15/4.54 parent1[0]: (360) {G1,W4,D2,L1,V0,M1} R(10,122) { midp( skol24, skol26,
% 4.15/4.54 skol28 ) }.
% 4.15/4.54 substitution0:
% 4.15/4.54 X := X
% 4.15/4.54 end
% 4.15/4.54 substitution1:
% 4.15/4.54 end
% 4.15/4.54
% 4.15/4.54 subsumption: (8254) {G10,W6,D3,L1,V1,M1} F(8137);r(360) { midp( skol7(
% 4.15/4.54 skol26, X ), skol26, X ) }.
% 4.15/4.54 parent0: (24489) {G2,W6,D3,L1,V1,M1} { midp( skol7( skol26, X ), skol26, X
% 4.15/4.54 ) }.
% 4.15/4.54 substitution0:
% 4.15/4.54 X := X
% 4.15/4.54 end
% 4.15/4.54 permutation0:
% 4.15/4.54 0 ==> 0
% 4.15/4.54 end
% 4.15/4.54
% 4.15/4.54 resolution: (24490) {G1,W7,D3,L1,V0,M1} { perp( skol12( skol26, skol24 ),
% 4.15/4.54 skol26, skol26, skol24 ) }.
% 4.15/4.54 parent0[0]: (100) {G0,W12,D3,L2,V4,M2} I { ! circle( Y, X, Z, T ), perp(
% 4.15/4.54 skol12( X, Y ), X, X, Y ) }.
% 4.15/4.54 parent1[0]: (7261) {G3,W5,D2,L1,V0,M1} R(128,2513) { circle( skol24, skol26
% 4.15/4.54 , skol28, skol28 ) }.
% 4.15/4.54 substitution0:
% 4.15/4.54 X := skol26
% 4.15/4.54 Y := skol24
% 4.15/4.54 Z := skol28
% 4.15/4.54 T := skol28
% 4.15/4.54 end
% 4.15/4.54 substitution1:
% 4.15/4.54 end
% 4.15/4.54
% 4.15/4.54 subsumption: (8301) {G4,W7,D3,L1,V0,M1} R(7261,100) { perp( skol12( skol26
% 4.15/4.54 , skol24 ), skol26, skol26, skol24 ) }.
% 4.15/4.54 parent0: (24490) {G1,W7,D3,L1,V0,M1} { perp( skol12( skol26, skol24 ),
% 4.15/4.54 skol26, skol26, skol24 ) }.
% 4.15/4.54 substitution0:
% 4.15/4.54 end
% 4.15/4.54 permutation0:
% 4.15/4.54 0 ==> 0
% 4.15/4.54 end
% 4.15/4.54
% 4.15/4.54 resolution: (24491) {G11,W4,D2,L1,V1,M1} { coll( skol26, skol26, X ) }.
% 4.15/4.54 parent0[0]: (687) {G11,W8,D2,L2,V3,M2} R(69,655) { ! midp( X, Y, Z ), coll
% 4.15/4.54 ( Y, Y, Z ) }.
% 4.15/4.54 parent1[0]: (8254) {G10,W6,D3,L1,V1,M1} F(8137);r(360) { midp( skol7(
% 4.15/4.54 skol26, X ), skol26, X ) }.
% 4.15/4.54 substitution0:
% 4.15/4.54 X := skol7( skol26, X )
% 4.15/4.54 Y := skol26
% 4.15/4.54 Z := X
% 4.15/4.54 end
% 4.15/4.54 substitution1:
% 4.15/4.54 X := X
% 4.15/4.54 end
% 4.15/4.54
% 4.15/4.54 subsumption: (8495) {G12,W4,D2,L1,V1,M1} R(8254,687) { coll( skol26, skol26
% 4.15/4.54 , X ) }.
% 4.15/4.54 parent0: (24491) {G11,W4,D2,L1,V1,M1} { coll( skol26, skol26, X ) }.
% 4.15/4.54 substitution0:
% 4.15/4.54 X := X
% 4.15/4.54 end
% 4.15/4.54 permutation0:
% 4.15/4.54 0 ==> 0
% 4.15/4.54 end
% 4.15/4.54
% 4.15/4.54 resolution: (24492) {G1,W8,D2,L2,V2,M2} { ! coll( skol26, skol26, Y ),
% 4.15/4.54 coll( X, Y, skol26 ) }.
% 4.15/4.54 parent0[0]: (2) {G0,W12,D2,L3,V4,M3} I { ! coll( X, T, Y ), ! coll( X, T, Z
% 4.15/4.54 ), coll( Y, Z, X ) }.
% 4.15/4.54 parent1[0]: (8495) {G12,W4,D2,L1,V1,M1} R(8254,687) { coll( skol26, skol26
% 4.15/4.54 , X ) }.
% 4.15/4.54 substitution0:
% 4.15/4.54 X := skol26
% 4.15/4.54 Y := X
% 4.15/4.54 Z := Y
% 4.15/4.54 T := skol26
% 4.15/4.54 end
% 4.15/4.54 substitution1:
% 4.15/4.54 X := X
% 4.15/4.54 end
% 4.15/4.54
% 4.15/4.54 resolution: (24494) {G2,W4,D2,L1,V2,M1} { coll( Y, X, skol26 ) }.
% 4.15/4.54 parent0[0]: (24492) {G1,W8,D2,L2,V2,M2} { ! coll( skol26, skol26, Y ),
% 4.15/4.54 coll( X, Y, skol26 ) }.
% 4.15/4.54 parent1[0]: (8495) {G12,W4,D2,L1,V1,M1} R(8254,687) { coll( skol26, skol26
% 4.15/4.54 , X ) }.
% 4.15/4.54 substitution0:
% 4.15/4.54 X := Y
% 4.15/4.54 Y := X
% 4.15/4.54 end
% 4.15/4.54 substitution1:
% 4.15/4.54 X := X
% 4.15/4.54 end
% 4.15/4.54
% 4.15/4.54 subsumption: (8581) {G13,W4,D2,L1,V2,M1} R(8495,2);r(8495) { coll( Y, X,
% 4.15/4.54 skol26 ) }.
% 4.15/4.54 parent0: (24494) {G2,W4,D2,L1,V2,M1} { coll( Y, X, skol26 ) }.
% 4.15/4.54 substitution0:
% 4.15/4.54 X := X
% 4.15/4.54 Y := Y
% 4.15/4.54 end
% 4.15/4.54 permutation0:
% 4.15/4.54 0 ==> 0
% 4.15/4.54 end
% 4.15/4.54
% 4.15/4.54 resolution: (24495) {G2,W4,D2,L1,V2,M1} { coll( Y, skol26, X ) }.
% 4.15/4.54 parent0[0]: (172) {G1,W8,D2,L2,V3,M2} R(1,0) { ! coll( X, Y, Z ), coll( Y,
% 4.15/4.54 Z, X ) }.
% 4.15/4.54 parent1[0]: (8581) {G13,W4,D2,L1,V2,M1} R(8495,2);r(8495) { coll( Y, X,
% 4.15/4.54 skol26 ) }.
% 4.15/4.54 substitution0:
% 4.15/4.54 X := X
% 4.15/4.54 Y := Y
% 4.15/4.54 Z := skol26
% 4.15/4.54 end
% 4.15/4.54 substitution1:
% 4.15/4.54 X := Y
% 4.15/4.54 Y := X
% 4.15/4.54 end
% 4.15/4.54
% 4.15/4.54 subsumption: (8590) {G14,W4,D2,L1,V2,M1} R(8581,172) { coll( X, skol26, Y )
% 4.15/4.54 }.
% 4.15/4.54 parent0: (24495) {G2,W4,D2,L1,V2,M1} { coll( Y, skol26, X ) }.
% 4.15/4.54 substitution0:
% 4.15/4.54 X := Y
% 4.15/4.54 Y := X
% 4.15/4.54 end
% 4.15/4.54 permutation0:
% 4.15/4.54 0 ==> 0
% 4.15/4.54 end
% 4.15/4.54
% 4.15/4.54 resolution: (24496) {G1,W8,D2,L2,V3,M2} { ! coll( X, skol26, Z ), coll( Y
% 4.15/4.54 , Z, X ) }.
% 4.15/4.54 parent0[0]: (2) {G0,W12,D2,L3,V4,M3} I { ! coll( X, T, Y ), ! coll( X, T, Z
% 4.15/4.54 ), coll( Y, Z, X ) }.
% 4.15/4.54 parent1[0]: (8590) {G14,W4,D2,L1,V2,M1} R(8581,172) { coll( X, skol26, Y )
% 4.15/4.54 }.
% 4.15/4.54 substitution0:
% 4.15/4.54 X := X
% 4.15/4.54 Y := Y
% 4.15/4.54 Z := Z
% 4.15/4.54 T := skol26
% 4.15/4.54 end
% 4.15/4.54 substitution1:
% 4.15/4.54 X := X
% 4.15/4.54 Y := Y
% 4.15/4.54 end
% 4.15/4.54
% 4.15/4.54 resolution: (24498) {G2,W4,D2,L1,V3,M1} { coll( Z, Y, X ) }.
% 4.15/4.54 parent0[0]: (24496) {G1,W8,D2,L2,V3,M2} { ! coll( X, skol26, Z ), coll( Y
% 4.15/4.54 , Z, X ) }.
% 4.15/4.54 parent1[0]: (8590) {G14,W4,D2,L1,V2,M1} R(8581,172) { coll( X, skol26, Y )
% 4.15/4.54 }.
% 4.15/4.54 substitution0:
% 4.15/4.54 X := X
% 4.15/4.54 Y := Z
% 4.15/4.54 Z := Y
% 4.15/4.54 end
% 4.15/4.54 substitution1:
% 4.15/4.54 X := X
% 4.15/4.54 Y := Y
% 4.15/4.54 end
% 4.15/4.54
% 4.15/4.54 subsumption: (8603) {G15,W4,D2,L1,V3,M1} R(8590,2);r(8590) { coll( Z, Y, X
% 4.15/4.54 ) }.
% 4.15/4.54 parent0: (24498) {G2,W4,D2,L1,V3,M1} { coll( Z, Y, X ) }.
% 4.15/4.54 substitution0:
% 4.15/4.54 X := X
% 4.15/4.54 Y := Y
% 4.15/4.54 Z := Z
% 4.15/4.54 end
% 4.15/4.54 permutation0:
% 4.15/4.54 0 ==> 0
% 4.15/4.54 end
% 4.15/4.54
% 4.15/4.54 resolution: (24499) {G1,W7,D3,L1,V0,M1} { perp( skol26, skol24, skol12(
% 4.15/4.54 skol26, skol24 ), skol26 ) }.
% 4.15/4.54 parent0[0]: (7) {G0,W10,D2,L2,V4,M2} I { ! perp( X, Y, Z, T ), perp( Z, T,
% 4.15/4.54 X, Y ) }.
% 4.15/4.54 parent1[0]: (8301) {G4,W7,D3,L1,V0,M1} R(7261,100) { perp( skol12( skol26,
% 4.15/4.54 skol24 ), skol26, skol26, skol24 ) }.
% 4.15/4.54 substitution0:
% 4.15/4.54 X := skol12( skol26, skol24 )
% 4.15/4.54 Y := skol26
% 4.15/4.54 Z := skol26
% 4.15/4.54 T := skol24
% 4.15/4.54 end
% 4.15/4.54 substitution1:
% 4.15/4.54 end
% 4.15/4.54
% 4.15/4.54 subsumption: (8717) {G5,W7,D3,L1,V0,M1} R(8301,7) { perp( skol26, skol24,
% 4.15/4.54 skol12( skol26, skol24 ), skol26 ) }.
% 4.15/4.54 parent0: (24499) {G1,W7,D3,L1,V0,M1} { perp( skol26, skol24, skol12(
% 4.15/4.54 skol26, skol24 ), skol26 ) }.
% 4.15/4.54 substitution0:
% 4.15/4.54 end
% 4.15/4.54 permutation0:
% 4.15/4.54 0 ==> 0
% 4.15/4.54 end
% 4.15/4.54
% 4.15/4.54 resolution: (24500) {G1,W7,D3,L1,V0,M1} { perp( skol26, skol24, skol26,
% 4.15/4.54 skol12( skol26, skol24 ) ) }.
% 4.15/4.54 parent0[0]: (6) {G0,W10,D2,L2,V4,M2} I { ! perp( X, Y, Z, T ), perp( X, Y,
% 4.15/4.54 T, Z ) }.
% 4.15/4.54 parent1[0]: (8717) {G5,W7,D3,L1,V0,M1} R(8301,7) { perp( skol26, skol24,
% 4.15/4.54 skol12( skol26, skol24 ), skol26 ) }.
% 4.15/4.54 substitution0:
% 4.15/4.54 X := skol26
% 4.15/4.54 Y := skol24
% 4.15/4.54 Z := skol12( skol26, skol24 )
% 4.15/4.54 T := skol26
% 4.15/4.54 end
% 4.15/4.54 substitution1:
% 4.15/4.54 end
% 4.15/4.54
% 4.15/4.54 subsumption: (8726) {G6,W7,D3,L1,V0,M1} R(8717,6) { perp( skol26, skol24,
% 4.15/4.54 skol26, skol12( skol26, skol24 ) ) }.
% 4.15/4.54 parent0: (24500) {G1,W7,D3,L1,V0,M1} { perp( skol26, skol24, skol26,
% 4.15/4.54 skol12( skol26, skol24 ) ) }.
% 4.15/4.54 substitution0:
% 4.15/4.54 end
% 4.15/4.54 permutation0:
% 4.15/4.54 0 ==> 0
% 4.15/4.54 end
% 4.15/4.54
% 4.15/4.54 resolution: (24501) {G1,W7,D3,L1,V0,M1} { perp( skol26, skol12( skol26,
% 4.15/4.54 skol24 ), skol26, skol24 ) }.
% 4.15/4.54 parent0[0]: (7) {G0,W10,D2,L2,V4,M2} I { ! perp( X, Y, Z, T ), perp( Z, T,
% 4.15/4.54 X, Y ) }.
% 4.15/4.54 parent1[0]: (8726) {G6,W7,D3,L1,V0,M1} R(8717,6) { perp( skol26, skol24,
% 4.15/4.54 skol26, skol12( skol26, skol24 ) ) }.
% 4.15/4.54 substitution0:
% 4.15/4.54 X := skol26
% 4.15/4.54 Y := skol24
% 4.15/4.54 Z := skol26
% 4.15/4.54 T := skol12( skol26, skol24 )
% 4.15/4.54 end
% 4.15/4.54 substitution1:
% 4.15/4.54 end
% 4.15/4.54
% 4.15/4.54 subsumption: (8734) {G7,W7,D3,L1,V0,M1} R(8726,7) { perp( skol26, skol12(
% 4.15/4.54 skol26, skol24 ), skol26, skol24 ) }.
% 4.15/4.54 parent0: (24501) {G1,W7,D3,L1,V0,M1} { perp( skol26, skol12( skol26,
% 4.15/4.54 skol24 ), skol26, skol24 ) }.
% 4.15/4.54 substitution0:
% 4.15/4.54 end
% 4.15/4.54 permutation0:
% 4.15/4.54 0 ==> 0
% 4.15/4.54 end
% 4.15/4.54
% 4.15/4.54 resolution: (24502) {G1,W7,D3,L1,V0,M1} { perp( skol26, skol12( skol26,
% 4.15/4.54 skol24 ), skol24, skol26 ) }.
% 4.15/4.54 parent0[0]: (6) {G0,W10,D2,L2,V4,M2} I { ! perp( X, Y, Z, T ), perp( X, Y,
% 4.15/4.54 T, Z ) }.
% 4.15/4.54 parent1[0]: (8734) {G7,W7,D3,L1,V0,M1} R(8726,7) { perp( skol26, skol12(
% 4.15/4.54 skol26, skol24 ), skol26, skol24 ) }.
% 4.15/4.54 substitution0:
% 4.15/4.54 X := skol26
% 4.15/4.54 Y := skol12( skol26, skol24 )
% 4.15/4.54 Z := skol26
% 4.15/4.54 T := skol24
% 4.15/4.54 end
% 4.15/4.54 substitution1:
% 4.15/4.54 end
% 4.15/4.54
% 4.15/4.54 subsumption: (8743) {G8,W7,D3,L1,V0,M1} R(8734,6) { perp( skol26, skol12(
% 4.15/4.54 skol26, skol24 ), skol24, skol26 ) }.
% 4.15/4.54 parent0: (24502) {G1,W7,D3,L1,V0,M1} { perp( skol26, skol12( skol26,
% 4.15/4.54 skol24 ), skol24, skol26 ) }.
% 4.15/4.54 substitution0:
% 4.15/4.54 end
% 4.15/4.54 permutation0:
% 4.15/4.54 0 ==> 0
% 4.15/4.54 end
% 4.15/4.54
% 4.15/4.54 resolution: (24503) {G1,W7,D3,L1,V0,M1} { perp( skol24, skol26, skol26,
% 4.15/4.54 skol12( skol26, skol24 ) ) }.
% 4.15/4.54 parent0[0]: (7) {G0,W10,D2,L2,V4,M2} I { ! perp( X, Y, Z, T ), perp( Z, T,
% 4.15/4.54 X, Y ) }.
% 4.15/4.54 parent1[0]: (8743) {G8,W7,D3,L1,V0,M1} R(8734,6) { perp( skol26, skol12(
% 4.15/4.54 skol26, skol24 ), skol24, skol26 ) }.
% 4.15/4.54 substitution0:
% 4.15/4.54 X := skol26
% 4.15/4.54 Y := skol12( skol26, skol24 )
% 4.15/4.54 Z := skol24
% 4.15/4.54 T := skol26
% 4.15/4.54 end
% 4.15/4.54 substitution1:
% 4.15/4.54 end
% 4.15/4.54
% 4.15/4.54 subsumption: (8752) {G9,W7,D3,L1,V0,M1} R(8743,7) { perp( skol24, skol26,
% 4.15/4.54 skol26, skol12( skol26, skol24 ) ) }.
% 4.15/4.54 parent0: (24503) {G1,W7,D3,L1,V0,M1} { perp( skol24, skol26, skol26,
% 4.15/4.54 skol12( skol26, skol24 ) ) }.
% 4.15/4.54 substitution0:
% 4.15/4.54 end
% 4.15/4.54 permutation0:
% 4.15/4.54 0 ==> 0
% 4.15/4.54 end
% 4.15/4.54
% 4.15/4.54 resolution: (24504) {G1,W14,D3,L2,V2,M2} { ! coll( skol12( skol26, skol24
% 4.15/4.54 ), X, Y ), perp( skol16( skol24, X, Y ), skol24, X, Y ) }.
% 4.15/4.54 parent0[0]: (110) {G0,W17,D3,L3,V5,M3} I { ! perp( X, U, U, T ), ! coll( T
% 4.15/4.54 , Y, Z ), perp( skol16( X, Y, Z ), X, Y, Z ) }.
% 4.15/4.54 parent1[0]: (8752) {G9,W7,D3,L1,V0,M1} R(8743,7) { perp( skol24, skol26,
% 4.15/4.54 skol26, skol12( skol26, skol24 ) ) }.
% 4.15/4.54 substitution0:
% 4.15/4.54 X := skol24
% 4.15/4.54 Y := X
% 4.15/4.54 Z := Y
% 4.15/4.54 T := skol12( skol26, skol24 )
% 4.15/4.54 U := skol26
% 4.15/4.54 end
% 4.15/4.54 substitution1:
% 4.15/4.54 end
% 4.15/4.54
% 4.15/4.54 resolution: (24505) {G2,W8,D3,L1,V2,M1} { perp( skol16( skol24, X, Y ),
% 4.15/4.54 skol24, X, Y ) }.
% 4.15/4.54 parent0[0]: (24504) {G1,W14,D3,L2,V2,M2} { ! coll( skol12( skol26, skol24
% 4.15/4.54 ), X, Y ), perp( skol16( skol24, X, Y ), skol24, X, Y ) }.
% 4.15/4.54 parent1[0]: (8603) {G15,W4,D2,L1,V3,M1} R(8590,2);r(8590) { coll( Z, Y, X )
% 4.15/4.54 }.
% 4.15/4.54 substitution0:
% 4.15/4.54 X := X
% 4.15/4.54 Y := Y
% 4.15/4.54 end
% 4.15/4.54 substitution1:
% 4.15/4.54 X := Y
% 4.15/4.54 Y := X
% 4.15/4.54 Z := skol12( skol26, skol24 )
% 4.15/4.54 end
% 4.15/4.54
% 4.15/4.54 subsumption: (8754) {G16,W8,D3,L1,V2,M1} R(8752,110);r(8603) { perp( skol16
% 4.15/4.54 ( skol24, X, Y ), skol24, X, Y ) }.
% 4.15/4.54 parent0: (24505) {G2,W8,D3,L1,V2,M1} { perp( skol16( skol24, X, Y ),
% 4.15/4.54 skol24, X, Y ) }.
% 4.15/4.54 substitution0:
% 4.15/4.54 X := X
% 4.15/4.54 Y := Y
% 4.15/4.54 end
% 4.15/4.54 permutation0:
% 4.15/4.54 0 ==> 0
% 4.15/4.54 end
% 4.15/4.54
% 4.15/4.54 resolution: (24506) {G1,W8,D3,L1,V2,M1} { perp( X, Y, skol16( skol24, X, Y
% 4.15/4.54 ), skol24 ) }.
% 4.15/4.54 parent0[0]: (7) {G0,W10,D2,L2,V4,M2} I { ! perp( X, Y, Z, T ), perp( Z, T,
% 4.15/4.54 X, Y ) }.
% 4.15/4.54 parent1[0]: (8754) {G16,W8,D3,L1,V2,M1} R(8752,110);r(8603) { perp( skol16
% 4.15/4.54 ( skol24, X, Y ), skol24, X, Y ) }.
% 4.15/4.54 substitution0:
% 4.15/4.54 X := skol16( skol24, X, Y )
% 4.15/4.54 Y := skol24
% 4.15/4.54 Z := X
% 4.15/4.54 T := Y
% 4.15/4.54 end
% 4.15/4.54 substitution1:
% 4.15/4.54 X := X
% 4.15/4.54 Y := Y
% 4.15/4.54 end
% 4.15/4.54
% 4.15/4.54 subsumption: (10338) {G17,W8,D3,L1,V2,M1} R(8754,7) { perp( X, Y, skol16(
% 4.15/4.54 skol24, X, Y ), skol24 ) }.
% 4.15/4.54 parent0: (24506) {G1,W8,D3,L1,V2,M1} { perp( X, Y, skol16( skol24, X, Y )
% 4.15/4.54 , skol24 ) }.
% 4.15/4.54 substitution0:
% 4.15/4.54 X := X
% 4.15/4.54 Y := Y
% 4.15/4.54 end
% 4.15/4.54 permutation0:
% 4.15/4.54 0 ==> 0
% 4.15/4.54 end
% 4.15/4.54
% 4.15/4.54 resolution: (24507) {G3,W5,D2,L1,V2,M1} { para( X, Y, X, Y ) }.
% 4.15/4.54 parent0[0]: (291) {G2,W10,D2,L2,V4,M2} F(276) { ! perp( X, Y, Z, T ), para
% 4.15/4.54 ( X, Y, X, Y ) }.
% 4.15/4.54 parent1[0]: (10338) {G17,W8,D3,L1,V2,M1} R(8754,7) { perp( X, Y, skol16(
% 4.15/4.54 skol24, X, Y ), skol24 ) }.
% 4.15/4.54 substitution0:
% 4.15/4.54 X := X
% 4.15/4.54 Y := Y
% 4.15/4.54 Z := skol16( skol24, X, Y )
% 4.15/4.54 T := skol24
% 4.15/4.54 end
% 4.15/4.54 substitution1:
% 4.15/4.54 X := X
% 4.15/4.54 Y := Y
% 4.15/4.54 end
% 4.15/4.54
% 4.15/4.54 subsumption: (10767) {G18,W5,D2,L1,V2,M1} R(291,10338) { para( X, Y, X, Y )
% 4.15/4.54 }.
% 4.15/4.54 parent0: (24507) {G3,W5,D2,L1,V2,M1} { para( X, Y, X, Y ) }.
% 4.15/4.54 substitution0:
% 4.15/4.54 X := X
% 4.15/4.54 Y := Y
% 4.15/4.54 end
% 4.15/4.54 permutation0:
% 4.15/4.54 0 ==> 0
% 4.15/4.54 end
% 4.15/4.54
% 4.15/4.54 resolution: (24508) {G2,W10,D2,L2,V3,M2} { cyclic( Z, Y, X, X ), ! para( X
% 4.15/4.54 , Z, X, Z ) }.
% 4.15/4.54 parent0[0]: (835) {G1,W14,D2,L3,V3,M3} R(42,39) { ! coll( X, X, Y ), cyclic
% 4.15/4.54 ( Z, Y, X, X ), ! para( X, Z, X, Z ) }.
% 4.15/4.54 parent1[0]: (8603) {G15,W4,D2,L1,V3,M1} R(8590,2);r(8590) { coll( Z, Y, X )
% 4.15/4.54 }.
% 4.15/4.54 substitution0:
% 4.15/4.54 X := X
% 4.15/4.54 Y := Y
% 4.15/4.54 Z := Z
% 4.15/4.54 end
% 4.15/4.54 substitution1:
% 4.15/4.54 X := Y
% 4.15/4.54 Y := X
% 4.15/4.54 Z := X
% 4.15/4.54 end
% 4.15/4.54
% 4.15/4.54 resolution: (24509) {G3,W5,D2,L1,V3,M1} { cyclic( X, Y, Z, Z ) }.
% 4.15/4.54 parent0[1]: (24508) {G2,W10,D2,L2,V3,M2} { cyclic( Z, Y, X, X ), ! para( X
% 4.15/4.54 , Z, X, Z ) }.
% 4.15/4.54 parent1[0]: (10767) {G18,W5,D2,L1,V2,M1} R(291,10338) { para( X, Y, X, Y )
% 4.15/4.54 }.
% 4.15/4.54 substitution0:
% 4.15/4.54 X := Z
% 4.15/4.54 Y := Y
% 4.15/4.54 Z := X
% 4.15/4.54 end
% 4.15/4.54 substitution1:
% 4.15/4.54 X := Z
% 4.15/4.54 Y := X
% 4.15/4.54 end
% 4.15/4.54
% 4.15/4.54 subsumption: (20130) {G19,W5,D2,L1,V3,M1} S(835);r(8603);r(10767) { cyclic
% 4.15/4.54 ( Z, Y, X, X ) }.
% 4.15/4.54 parent0: (24509) {G3,W5,D2,L1,V3,M1} { cyclic( X, Y, Z, Z ) }.
% 4.15/4.54 substitution0:
% 4.15/4.54 X := Z
% 4.15/4.54 Y := Y
% 4.15/4.54 Z := X
% 4.15/4.54 end
% 4.15/4.54 permutation0:
% 4.15/4.54 0 ==> 0
% 4.15/4.54 end
% 4.15/4.54
% 4.15/4.54 resolution: (24510) {G2,W5,D2,L1,V3,M1} { cyclic( Y, Z, X, Z ) }.
% 4.15/4.54 parent0[0]: (396) {G1,W10,D2,L2,V4,M2} R(15,14) { ! cyclic( X, Y, Z, T ),
% 4.15/4.54 cyclic( Y, Z, X, T ) }.
% 4.15/4.54 parent1[0]: (20130) {G19,W5,D2,L1,V3,M1} S(835);r(8603);r(10767) { cyclic(
% 4.15/4.54 Z, Y, X, X ) }.
% 4.15/4.54 substitution0:
% 4.15/4.54 X := X
% 4.15/4.54 Y := Y
% 4.15/4.54 Z := Z
% 4.15/4.54 T := Z
% 4.15/4.54 end
% 4.15/4.54 substitution1:
% 4.15/4.54 X := Z
% 4.15/4.54 Y := Y
% 4.15/4.54 Z := X
% 4.15/4.54 end
% 4.15/4.54
% 4.15/4.54 subsumption: (20149) {G20,W5,D2,L1,V3,M1} R(20130,396) { cyclic( X, Y, Z, Y
% 4.15/4.54 ) }.
% 4.15/4.54 parent0: (24510) {G2,W5,D2,L1,V3,M1} { cyclic( Y, Z, X, Z ) }.
% 4.15/4.54 substitution0:
% 4.15/4.54 X := Z
% 4.15/4.54 Y := X
% 4.15/4.54 Z := Y
% 4.15/4.54 end
% 4.15/4.54 permutation0:
% 4.15/4.54 0 ==> 0
% 4.15/4.54 end
% 4.15/4.54
% 4.15/4.54 resolution: (24511) {G2,W5,D2,L1,V3,M1} { cyclic( X, Z, Z, Y ) }.
% 4.15/4.54 parent0[0]: (387) {G1,W10,D2,L2,V4,M2} R(14,13) { ! cyclic( X, Y, Z, T ),
% 4.15/4.54 cyclic( X, Z, T, Y ) }.
% 4.15/4.54 parent1[0]: (20130) {G19,W5,D2,L1,V3,M1} S(835);r(8603);r(10767) { cyclic(
% 4.15/4.54 Z, Y, X, X ) }.
% 4.15/4.54 substitution0:
% 4.15/4.54 X := X
% 4.15/4.54 Y := Y
% 4.15/4.54 Z := Z
% 4.15/4.54 T := Z
% 4.15/4.54 end
% 4.15/4.54 substitution1:
% 4.15/4.54 X := Z
% 4.15/4.54 Y := Y
% 4.15/4.54 Z := X
% 4.15/4.54 end
% 4.15/4.54
% 4.15/4.54 subsumption: (20151) {G20,W5,D2,L1,V3,M1} R(20130,387) { cyclic( X, Y, Y, Z
% 4.15/4.54 ) }.
% 4.15/4.54 parent0: (24511) {G2,W5,D2,L1,V3,M1} { cyclic( X, Z, Z, Y ) }.
% 4.15/4.54 substitution0:
% 4.15/4.54 X := X
% 4.15/4.54 Y := Z
% 4.15/4.54 Z := Y
% 4.15/4.54 end
% 4.15/4.54 permutation0:
% 4.15/4.54 0 ==> 0
% 4.15/4.54 end
% 4.15/4.54
% 4.15/4.54 resolution: (24513) {G2,W10,D2,L2,V4,M2} { ! cyclic( X, Y, Y, Z ), cyclic
% 4.15/4.54 ( Y, Y, Z, T ) }.
% 4.15/4.54 parent0[2]: (419) {G1,W15,D2,L3,V5,M3} R(16,13) { ! cyclic( X, Y, Z, T ),
% 4.15/4.54 cyclic( Y, Z, T, U ), ! cyclic( X, Y, U, Z ) }.
% 4.15/4.54 parent1[0]: (20149) {G20,W5,D2,L1,V3,M1} R(20130,396) { cyclic( X, Y, Z, Y
% 4.15/4.54 ) }.
% 4.15/4.54 substitution0:
% 4.15/4.54 X := X
% 4.15/4.54 Y := Y
% 4.15/4.54 Z := Y
% 4.15/4.54 T := Z
% 4.15/4.54 U := T
% 4.15/4.54 end
% 4.15/4.54 substitution1:
% 4.15/4.54 X := X
% 4.15/4.54 Y := Y
% 4.15/4.54 Z := T
% 4.15/4.54 end
% 4.15/4.54
% 4.15/4.54 resolution: (24514) {G3,W5,D2,L1,V3,M1} { cyclic( Y, Y, Z, T ) }.
% 4.15/4.54 parent0[0]: (24513) {G2,W10,D2,L2,V4,M2} { ! cyclic( X, Y, Y, Z ), cyclic
% 4.15/4.54 ( Y, Y, Z, T ) }.
% 4.15/4.54 parent1[0]: (20151) {G20,W5,D2,L1,V3,M1} R(20130,387) { cyclic( X, Y, Y, Z
% 4.15/4.54 ) }.
% 4.15/4.54 substitution0:
% 4.15/4.54 X := X
% 4.15/4.54 Y := Y
% 4.15/4.54 Z := Z
% 4.15/4.54 T := T
% 4.15/4.54 end
% 4.15/4.54 substitution1:
% 4.15/4.54 X := X
% 4.15/4.54 Y := Y
% 4.15/4.54 Z := Z
% 4.15/4.54 end
% 4.15/4.54
% 4.15/4.54 subsumption: (20156) {G21,W5,D2,L1,V3,M1} R(20149,419);r(20151) { cyclic( Y
% 4.15/4.54 , Y, Z, T ) }.
% 4.15/4.54 parent0: (24514) {G3,W5,D2,L1,V3,M1} { cyclic( Y, Y, Z, T ) }.
% 4.15/4.54 substitution0:
% 4.15/4.54 X := U
% 4.15/4.54 Y := Y
% 4.15/4.54 Z := Z
% 4.15/4.54 T := T
% 4.15/4.54 end
% 4.15/4.54 permutation0:
% 4.15/4.54 0 ==> 0
% 4.15/4.54 end
% 4.15/4.54
% 4.15/4.54 resolution: (24515) {G2,W10,D2,L2,V4,M2} { cyclic( X, Y, Z, T ), ! cyclic
% 4.15/4.54 ( X, X, T, Y ) }.
% 4.15/4.54 parent0[0]: (419) {G1,W15,D2,L3,V5,M3} R(16,13) { ! cyclic( X, Y, Z, T ),
% 4.15/4.54 cyclic( Y, Z, T, U ), ! cyclic( X, Y, U, Z ) }.
% 4.15/4.54 parent1[0]: (20156) {G21,W5,D2,L1,V3,M1} R(20149,419);r(20151) { cyclic( Y
% 4.15/4.54 , Y, Z, T ) }.
% 4.15/4.54 substitution0:
% 4.15/4.54 X := X
% 4.15/4.54 Y := X
% 4.15/4.54 Z := Y
% 4.15/4.54 T := Z
% 4.15/4.54 U := T
% 4.15/4.54 end
% 4.15/4.54 substitution1:
% 4.15/4.54 X := U
% 4.15/4.54 Y := X
% 4.15/4.54 Z := Y
% 4.15/4.54 T := Z
% 4.15/4.54 end
% 4.15/4.54
% 4.15/4.54 resolution: (24517) {G3,W5,D2,L1,V4,M1} { cyclic( X, Y, Z, T ) }.
% 4.15/4.54 parent0[1]: (24515) {G2,W10,D2,L2,V4,M2} { cyclic( X, Y, Z, T ), ! cyclic
% 4.15/4.54 ( X, X, T, Y ) }.
% 4.15/4.54 parent1[0]: (20156) {G21,W5,D2,L1,V3,M1} R(20149,419);r(20151) { cyclic( Y
% 4.15/4.54 , Y, Z, T ) }.
% 4.15/4.54 substitution0:
% 4.15/4.54 X := X
% 4.15/4.54 Y := Y
% 4.15/4.54 Z := Z
% 4.15/4.54 T := T
% 4.15/4.54 end
% 4.15/4.54 substitution1:
% 4.15/4.54 X := U
% 4.15/4.54 Y := X
% 4.15/4.54 Z := T
% 4.15/4.54 T := Y
% 4.15/4.54 end
% 4.15/4.54
% 4.15/4.54 subsumption: (20166) {G22,W5,D2,L1,V4,M1} R(20156,419);r(20156) { cyclic( X
% 4.15/4.54 , Y, Z, T ) }.
% 4.15/4.54 parent0: (24517) {G3,W5,D2,L1,V4,M1} { cyclic( X, Y, Z, T ) }.
% 4.15/4.54 substitution0:
% 4.15/4.54 X := X
% 4.15/4.54 Y := Y
% 4.15/4.54 Z := Z
% 4.15/4.54 T := T
% 4.15/4.54 end
% 4.15/4.54 permutation0:
% 4.15/4.54 0 ==> 0
% 4.15/4.54 end
% 4.15/4.54
% 4.15/4.54 resolution: (24520) {G3,W10,D2,L2,V3,M2} { ! cyclic( X, Y, Z, Y ), cong( X
% 4.15/4.54 , Y, X, Y ) }.
% 4.15/4.54 parent0[0]: (1038) {G2,W15,D2,L3,V3,M3} F(1006) { ! cyclic( X, Y, Z, X ), !
% 4.15/4.54 cyclic( X, Y, Z, Y ), cong( X, Y, X, Y ) }.
% 4.15/4.54 parent1[0]: (20166) {G22,W5,D2,L1,V4,M1} R(20156,419);r(20156) { cyclic( X
% 4.15/4.54 , Y, Z, T ) }.
% 4.15/4.54 substitution0:
% 4.15/4.54 X := X
% 4.15/4.54 Y := Y
% 4.15/4.54 Z := Z
% 4.15/4.54 end
% 4.15/4.54 substitution1:
% 4.15/4.54 X := X
% 4.15/4.54 Y := Y
% 4.15/4.54 Z := Z
% 4.15/4.54 T := X
% 4.15/4.54 end
% 4.15/4.54
% 4.15/4.54 resolution: (24522) {G4,W5,D2,L1,V2,M1} { cong( X, Y, X, Y ) }.
% 4.15/4.54 parent0[0]: (24520) {G3,W10,D2,L2,V3,M2} { ! cyclic( X, Y, Z, Y ), cong( X
% 4.15/4.54 , Y, X, Y ) }.
% 4.15/4.54 parent1[0]: (20166) {G22,W5,D2,L1,V4,M1} R(20156,419);r(20156) { cyclic( X
% 4.15/4.54 , Y, Z, T ) }.
% 4.15/4.54 substitution0:
% 4.15/4.54 X := X
% 4.15/4.54 Y := Y
% 4.15/4.54 Z := Z
% 4.15/4.54 end
% 4.15/4.54 substitution1:
% 4.15/4.54 X := X
% 4.15/4.54 Y := Y
% 4.15/4.54 Z := Z
% 4.15/4.54 T := Y
% 4.15/4.54 end
% 4.15/4.54
% 4.15/4.54 subsumption: (23819) {G23,W5,D2,L1,V2,M1} S(1038);r(20166);r(20166) { cong
% 4.15/4.54 ( X, Y, X, Y ) }.
% 4.15/4.54 parent0: (24522) {G4,W5,D2,L1,V2,M1} { cong( X, Y, X, Y ) }.
% 4.15/4.54 substitution0:
% 4.15/4.54 X := X
% 4.15/4.54 Y := Y
% 4.15/4.54 end
% 4.15/4.54 permutation0:
% 4.15/4.54 0 ==> 0
% 4.15/4.54 end
% 4.15/4.54
% 4.15/4.54 resolution: (24523) {G1,W10,D2,L2,V3,M2} { ! cong( X, Z, X, Z ), perp( X,
% 4.15/4.54 X, Y, Z ) }.
% 4.15/4.54 parent0[0]: (56) {G0,W15,D2,L3,V4,M3} I { ! cong( X, Z, Y, Z ), ! cong( X,
% 4.15/4.54 T, Y, T ), perp( X, Y, Z, T ) }.
% 4.15/4.54 parent1[0]: (23819) {G23,W5,D2,L1,V2,M1} S(1038);r(20166);r(20166) { cong(
% 4.15/4.54 X, Y, X, Y ) }.
% 4.15/4.54 substitution0:
% 4.15/4.54 X := X
% 4.15/4.54 Y := X
% 4.15/4.54 Z := Y
% 4.15/4.54 T := Z
% 4.15/4.54 end
% 4.15/4.54 substitution1:
% 4.15/4.54 X := X
% 4.15/4.54 Y := Y
% 4.15/4.54 end
% 4.15/4.54
% 4.15/4.54 resolution: (24525) {G2,W5,D2,L1,V3,M1} { perp( X, X, Z, Y ) }.
% 4.15/4.54 parent0[0]: (24523) {G1,W10,D2,L2,V3,M2} { ! cong( X, Z, X, Z ), perp( X,
% 4.15/4.54 X, Y, Z ) }.
% 4.15/4.54 parent1[0]: (23819) {G23,W5,D2,L1,V2,M1} S(1038);r(20166);r(20166) { cong(
% 4.15/4.54 X, Y, X, Y ) }.
% 4.15/4.54 substitution0:
% 4.15/4.54 X := X
% 4.15/4.54 Y := Z
% 4.15/4.54 Z := Y
% 4.15/4.54 end
% 4.15/4.54 substitution1:
% 4.15/4.54 X := X
% 4.15/4.54 Y := Y
% 4.15/4.54 end
% 4.15/4.54
% 4.15/4.54 subsumption: (23830) {G24,W5,D2,L1,V3,M1} R(23819,56);r(23819) { perp( X, X
% 4.15/4.54 , Z, Y ) }.
% 4.15/4.54 parent0: (24525) {G2,W5,D2,L1,V3,M1} { perp( X, X, Z, Y ) }.
% 4.15/4.54 substitution0:
% 4.15/4.54 X := X
% 4.15/4.54 Y := Y
% 4.15/4.54 Z := Z
% 4.15/4.54 end
% 4.15/4.54 permutation0:
% 4.15/4.54 0 ==> 0
% 4.15/4.54 end
% 4.15/4.54
% 4.15/4.54 resolution: (24526) {G2,W10,D2,L2,V5,M2} { para( T, U, Y, Z ), ! perp( X,
% 4.15/4.54 X, T, U ) }.
% 4.15/4.54 parent0[0]: (275) {G1,W15,D2,L3,V6,M3} R(8,7) { ! perp( X, Y, Z, T ), para
% 4.15/4.54 ( U, W, Z, T ), ! perp( X, Y, U, W ) }.
% 4.15/4.54 parent1[0]: (23830) {G24,W5,D2,L1,V3,M1} R(23819,56);r(23819) { perp( X, X
% 4.15/4.54 , Z, Y ) }.
% 4.15/4.54 substitution0:
% 4.15/4.54 X := X
% 4.15/4.54 Y := X
% 4.15/4.54 Z := Y
% 4.15/4.54 T := Z
% 4.15/4.54 U := T
% 4.15/4.54 W := U
% 4.15/4.54 end
% 4.15/4.54 substitution1:
% 4.15/4.54 X := X
% 4.15/4.54 Y := Z
% 4.15/4.54 Z := Y
% 4.15/4.54 end
% 4.15/4.54
% 4.15/4.54 resolution: (24528) {G3,W5,D2,L1,V4,M1} { para( X, Y, Z, T ) }.
% 4.15/4.54 parent0[1]: (24526) {G2,W10,D2,L2,V5,M2} { para( T, U, Y, Z ), ! perp( X,
% 4.15/4.54 X, T, U ) }.
% 4.15/4.54 parent1[0]: (23830) {G24,W5,D2,L1,V3,M1} R(23819,56);r(23819) { perp( X, X
% 4.15/4.54 , Z, Y ) }.
% 4.15/4.54 substitution0:
% 4.15/4.54 X := U
% 4.15/4.54 Y := Z
% 4.15/4.54 Z := T
% 4.15/4.54 T := X
% 4.15/4.54 U := Y
% 4.15/4.54 end
% 4.15/4.54 substitution1:
% 4.15/4.54 X := U
% 4.15/4.54 Y := Y
% 4.15/4.54 Z := X
% 4.15/4.54 end
% 4.15/4.54
% 4.15/4.54 subsumption: (23863) {G25,W5,D2,L1,V4,M1} R(23830,275);r(23830) { para( X,
% 4.15/4.54 Y, Z, T ) }.
% 4.15/4.54 parent0: (24528) {G3,W5,D2,L1,V4,M1} { para( X, Y, Z, T ) }.
% 4.15/4.54 substitution0:
% 4.15/4.54 X := X
% 4.15/4.54 Y := Y
% 4.15/4.54 Z := Z
% 4.15/4.54 T := T
% 4.15/4.54 end
% 4.15/4.54 permutation0:
% 4.15/4.54 0 ==> 0
% 4.15/4.54 end
% 4.15/4.54
% 4.15/4.54 resolution: (24529) {G3,W5,D2,L1,V2,M1} { ! para( X, Y, skol24, skol20 )
% 4.15/4.54 }.
% 4.15/4.54 parent0[0]: (269) {G2,W10,D2,L2,V2,M2} R(255,5) { ! para( skol23, skol22, X
% 4.15/4.54 , Y ), ! para( X, Y, skol24, skol20 ) }.
% 4.15/4.54 parent1[0]: (23863) {G25,W5,D2,L1,V4,M1} R(23830,275);r(23830) { para( X, Y
% 4.15/4.54 , Z, T ) }.
% 4.15/4.54 substitution0:
% 4.15/4.54 X := X
% 4.15/4.54 Y := Y
% 4.15/4.54 end
% 4.15/4.54 substitution1:
% 4.15/4.54 X := skol23
% 4.15/4.54 Y := skol22
% 4.15/4.54 Z := X
% 4.15/4.54 T := Y
% 4.15/4.54 end
% 4.15/4.54
% 4.15/4.54 resolution: (24531) {G4,W0,D0,L0,V0,M0} { }.
% 4.15/4.54 parent0[0]: (24529) {G3,W5,D2,L1,V2,M1} { ! para( X, Y, skol24, skol20 )
% 4.15/4.54 }.
% 4.15/4.54 parent1[0]: (23863) {G25,W5,D2,L1,V4,M1} R(23830,275);r(23830) { para( X, Y
% 4.15/4.54 , Z, T ) }.
% 4.15/4.54 substitution0:
% 4.15/4.54 X := X
% 4.15/4.54 Y := Y
% 4.15/4.54 end
% 4.15/4.54 substitution1:
% 4.15/4.54 X := X
% 4.15/4.54 Y := Y
% 4.15/4.54 Z := skol24
% 4.15/4.54 T := skol20
% 4.15/4.54 end
% 4.15/4.54
% 4.15/4.54 subsumption: (23878) {G26,W0,D0,L0,V0,M0} R(23863,269);r(23863) { }.
% 4.15/4.54 parent0: (24531) {G4,W0,D0,L0,V0,M0} { }.
% 4.15/4.54 substitution0:
% 4.15/4.54 end
% 4.15/4.54 permutation0:
% 4.15/4.54 end
% 4.15/4.54
% 4.15/4.54 Proof check complete!
% 4.15/4.54
% 4.15/4.54 Memory use:
% 4.15/4.54
% 4.15/4.54 space for terms: 378568
% 4.15/4.54 space for clauses: 1270533
% 4.15/4.54
% 4.15/4.54
% 4.15/4.54 clauses generated: 129704
% 4.15/4.54 clauses kept: 23879
% 4.15/4.54 clauses selected: 2174
% 4.15/4.54 clauses deleted: 6841
% 4.15/4.54 clauses inuse deleted: 686
% 4.15/4.54
% 4.15/4.54 subsentry: 1908008
% 4.15/4.54 literals s-matched: 1228052
% 4.15/4.54 literals matched: 681555
% 4.15/4.54 full subsumption: 306144
% 4.15/4.54
% 4.15/4.54 checksum: 927005957
% 4.15/4.54
% 4.15/4.54
% 4.15/4.54 Bliksem ended
%------------------------------------------------------------------------------