TSTP Solution File: GEO603+1 by Bliksem---1.12
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- Process Solution
%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : GEO603+1 : TPTP v8.1.0. Released v7.5.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n008.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 0s
% DateTime : Sat Jul 16 02:55:02 EDT 2022
% Result : Theorem 2.11s 2.49s
% Output : Refutation 2.11s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : GEO603+1 : TPTP v8.1.0. Released v7.5.0.
% 0.07/0.13 % Command : bliksem %s
% 0.14/0.34 % Computer : n008.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % DateTime : Sat Jun 18 05:08:52 EDT 2022
% 0.14/0.35 % CPUTime :
% 0.79/1.16 *** allocated 10000 integers for termspace/termends
% 0.79/1.16 *** allocated 10000 integers for clauses
% 0.79/1.16 *** allocated 10000 integers for justifications
% 0.79/1.16 Bliksem 1.12
% 0.79/1.16
% 0.79/1.16
% 0.79/1.16 Automatic Strategy Selection
% 0.79/1.16
% 0.79/1.16 *** allocated 15000 integers for termspace/termends
% 0.79/1.16
% 0.79/1.16 Clauses:
% 0.79/1.16
% 0.79/1.16 { ! coll( X, Y, Z ), coll( X, Z, Y ) }.
% 0.79/1.16 { ! coll( X, Y, Z ), coll( Y, X, Z ) }.
% 0.79/1.16 { ! coll( X, T, Y ), ! coll( X, T, Z ), coll( Y, Z, X ) }.
% 0.79/1.16 { ! para( X, Y, Z, T ), para( X, Y, T, Z ) }.
% 0.79/1.16 { ! para( X, Y, Z, T ), para( Z, T, X, Y ) }.
% 0.79/1.16 { ! para( X, Y, U, W ), ! para( U, W, Z, T ), para( X, Y, Z, T ) }.
% 0.79/1.16 { ! perp( X, Y, Z, T ), perp( X, Y, T, Z ) }.
% 0.79/1.16 { ! perp( X, Y, Z, T ), perp( Z, T, X, Y ) }.
% 0.79/1.16 { ! perp( X, Y, U, W ), ! perp( U, W, Z, T ), para( X, Y, Z, T ) }.
% 0.79/1.16 { ! para( X, Y, U, W ), ! perp( U, W, Z, T ), perp( X, Y, Z, T ) }.
% 0.79/1.16 { ! midp( Z, Y, X ), midp( Z, X, Y ) }.
% 0.79/1.16 { ! cong( T, X, T, Y ), ! cong( T, X, T, Z ), circle( T, X, Y, Z ) }.
% 0.79/1.16 { ! cong( U, X, U, Y ), ! cong( U, X, U, Z ), ! cong( U, X, U, T ), cyclic
% 0.79/1.16 ( X, Y, Z, T ) }.
% 0.79/1.16 { ! cyclic( X, Y, Z, T ), cyclic( X, Y, T, Z ) }.
% 0.79/1.16 { ! cyclic( X, Y, Z, T ), cyclic( X, Z, Y, T ) }.
% 0.79/1.16 { ! cyclic( X, Y, Z, T ), cyclic( Y, X, Z, T ) }.
% 0.79/1.16 { ! cyclic( U, X, Y, Z ), ! cyclic( U, X, Y, T ), cyclic( X, Y, Z, T ) }.
% 0.79/1.16 { ! eqangle( X, Y, Z, T, U, W, V0, V1 ), eqangle( Y, X, Z, T, U, W, V0, V1
% 0.79/1.16 ) }.
% 0.79/1.16 { ! eqangle( X, Y, Z, T, U, W, V0, V1 ), eqangle( Z, T, X, Y, V0, V1, U, W
% 0.79/1.16 ) }.
% 0.79/1.16 { ! eqangle( X, Y, Z, T, U, W, V0, V1 ), eqangle( U, W, V0, V1, X, Y, Z, T
% 0.79/1.16 ) }.
% 0.79/1.16 { ! eqangle( X, Y, Z, T, U, W, V0, V1 ), eqangle( X, Y, U, W, Z, T, V0, V1
% 0.79/1.16 ) }.
% 0.79/1.16 { ! eqangle( X, Y, Z, T, V2, V3, V4, V5 ), ! eqangle( V2, V3, V4, V5, U, W
% 0.79/1.16 , V0, V1 ), eqangle( X, Y, Z, T, U, W, V0, V1 ) }.
% 0.79/1.16 { ! cong( X, Y, Z, T ), cong( X, Y, T, Z ) }.
% 0.79/1.16 { ! cong( X, Y, Z, T ), cong( Z, T, X, Y ) }.
% 0.79/1.16 { ! cong( X, Y, U, W ), ! cong( U, W, Z, T ), cong( X, Y, Z, T ) }.
% 0.79/1.16 { ! eqratio( X, Y, Z, T, U, W, V0, V1 ), eqratio( Y, X, Z, T, U, W, V0, V1
% 0.79/1.16 ) }.
% 0.79/1.16 { ! eqratio( X, Y, Z, T, U, W, V0, V1 ), eqratio( Z, T, X, Y, V0, V1, U, W
% 0.79/1.16 ) }.
% 0.79/1.16 { ! eqratio( X, Y, Z, T, U, W, V0, V1 ), eqratio( U, W, V0, V1, X, Y, Z, T
% 0.79/1.16 ) }.
% 0.79/1.16 { ! eqratio( X, Y, Z, T, U, W, V0, V1 ), eqratio( X, Y, U, W, Z, T, V0, V1
% 0.79/1.16 ) }.
% 0.79/1.16 { ! eqratio( X, Y, Z, T, V2, V3, V4, V5 ), ! eqratio( V2, V3, V4, V5, U, W
% 0.79/1.16 , V0, V1 ), eqratio( X, Y, Z, T, U, W, V0, V1 ) }.
% 0.79/1.16 { ! simtri( X, Z, Y, T, W, U ), simtri( X, Y, Z, T, U, W ) }.
% 0.79/1.16 { ! simtri( Y, X, Z, U, T, W ), simtri( X, Y, Z, T, U, W ) }.
% 0.79/1.16 { ! simtri( T, U, W, X, Y, Z ), simtri( X, Y, Z, T, U, W ) }.
% 0.79/1.16 { ! simtri( X, Y, Z, V0, V1, V2 ), ! simtri( V0, V1, V2, T, U, W ), simtri
% 0.79/1.16 ( X, Y, Z, T, U, W ) }.
% 0.79/1.16 { ! contri( X, Z, Y, T, W, U ), contri( X, Y, Z, T, U, W ) }.
% 0.79/1.16 { ! contri( Y, X, Z, U, T, W ), contri( X, Y, Z, T, U, W ) }.
% 0.79/1.16 { ! contri( T, U, W, X, Y, Z ), contri( X, Y, Z, T, U, W ) }.
% 0.79/1.16 { ! contri( X, Y, Z, V0, V1, V2 ), ! contri( V0, V1, V2, T, U, W ), contri
% 0.79/1.16 ( X, Y, Z, T, U, W ) }.
% 0.79/1.16 { ! eqangle( X, Y, U, W, Z, T, U, W ), para( X, Y, Z, T ) }.
% 0.79/1.16 { ! para( X, Y, Z, T ), eqangle( X, Y, U, W, Z, T, U, W ) }.
% 0.79/1.16 { ! cyclic( X, Y, Z, T ), eqangle( Z, X, Z, Y, T, X, T, Y ) }.
% 0.79/1.16 { ! eqangle( Z, X, Z, Y, T, X, T, Y ), coll( Z, T, X ), cyclic( X, Y, Z, T
% 0.79/1.16 ) }.
% 0.79/1.16 { ! eqangle( Z, X, Z, Y, T, X, T, Y ), ! coll( Z, T, Y ), cyclic( X, Y, Z,
% 0.79/1.16 T ) }.
% 0.79/1.16 { ! cyclic( X, Y, U, Z ), ! cyclic( X, Y, U, T ), ! cyclic( X, Y, U, W ), !
% 0.79/1.16 eqangle( U, X, U, Y, W, Z, W, T ), cong( X, Y, Z, T ) }.
% 0.79/1.16 { ! midp( Z, U, X ), ! midp( T, U, Y ), para( Z, T, X, Y ) }.
% 0.79/1.16 { ! midp( U, X, T ), ! para( U, Z, T, Y ), ! coll( Z, X, Y ), midp( Z, X, Y
% 0.79/1.16 ) }.
% 0.79/1.16 { ! cong( Z, X, Z, Y ), eqangle( Z, X, X, Y, X, Y, Z, Y ) }.
% 0.79/1.16 { ! eqangle( Z, X, X, Y, X, Y, Z, Y ), coll( Z, X, Y ), cong( Z, X, Z, Y )
% 0.79/1.16 }.
% 0.79/1.16 { ! circle( U, X, Y, Z ), ! perp( U, X, X, T ), eqangle( X, T, X, Y, Z, X,
% 0.79/1.16 Z, Y ) }.
% 0.79/1.16 { ! circle( Y, X, T, U ), ! eqangle( X, Z, X, T, U, X, U, T ), perp( Y, X,
% 0.79/1.16 X, Z ) }.
% 0.79/1.16 { ! circle( T, X, Y, Z ), ! midp( U, Y, Z ), eqangle( X, Y, X, Z, T, Y, T,
% 0.79/1.16 U ) }.
% 0.79/1.16 { ! circle( U, T, X, Y ), ! coll( Z, X, Y ), ! eqangle( T, X, T, Y, U, X, U
% 0.79/1.16 , Z ), midp( Z, X, Y ) }.
% 0.79/1.16 { ! perp( X, Y, Y, T ), ! midp( Z, X, T ), cong( X, Z, Y, Z ) }.
% 0.79/1.16 { ! circle( T, X, Y, Z ), ! coll( T, X, Z ), perp( X, Y, Y, Z ) }.
% 0.79/1.16 { ! cyclic( X, Y, Z, T ), ! para( X, Y, Z, T ), eqangle( X, T, Z, T, Z, T,
% 0.79/1.16 Z, Y ) }.
% 0.79/1.16 { ! midp( T, X, Y ), ! perp( Z, T, X, Y ), cong( Z, X, Z, Y ) }.
% 0.79/1.16 { ! cong( X, Z, Y, Z ), ! cong( X, T, Y, T ), perp( X, Y, Z, T ) }.
% 0.79/1.16 { ! cong( X, Y, T, Y ), ! cong( X, Z, T, Z ), ! cyclic( X, T, Y, Z ), perp
% 0.79/1.16 ( Y, X, X, Z ) }.
% 0.79/1.16 { ! eqangle( X, Y, Y, Z, T, U, U, W ), ! eqangle( X, Z, Y, Z, T, W, U, W )
% 0.79/1.16 , coll( X, Y, Z ), simtri( X, Y, Z, T, U, W ) }.
% 0.79/1.16 { ! simtri( X, Y, Z, T, U, W ), eqratio( X, Y, X, Z, T, U, T, W ) }.
% 0.79/1.16 { ! simtri( X, Y, Z, T, U, W ), eqangle( X, Y, Y, Z, T, U, U, W ) }.
% 0.79/1.16 { ! simtri( X, Y, Z, T, U, W ), ! cong( X, Y, T, U ), contri( X, Y, Z, T, U
% 0.79/1.16 , W ) }.
% 0.79/1.16 { ! contri( X, Y, U, Z, T, W ), cong( X, Y, Z, T ) }.
% 0.79/1.16 { ! midp( U, X, Y ), ! midp( U, Z, T ), para( X, Z, Y, T ) }.
% 0.79/1.16 { ! midp( Z, T, U ), ! para( T, X, U, Y ), ! para( T, Y, U, X ), midp( Z, X
% 0.79/1.16 , Y ) }.
% 0.79/1.16 { ! para( X, Y, Z, T ), ! coll( U, X, Z ), ! coll( U, Y, T ), eqratio( U, X
% 0.79/1.16 , X, Z, U, Y, Y, T ) }.
% 0.79/1.16 { ! para( X, Y, X, Z ), coll( X, Y, Z ) }.
% 0.79/1.16 { ! cong( X, Y, X, Z ), ! coll( X, Y, Z ), midp( X, Y, Z ) }.
% 0.79/1.16 { ! midp( X, Y, Z ), cong( X, Y, X, Z ) }.
% 0.79/1.16 { ! midp( X, Y, Z ), coll( X, Y, Z ) }.
% 0.79/1.16 { ! midp( U, X, Y ), ! midp( W, Z, T ), eqratio( U, X, X, Y, W, Z, Z, T ) }
% 0.79/1.16 .
% 0.79/1.16 { ! eqangle( X, Y, Z, T, Z, T, X, Y ), para( X, Y, Z, T ), perp( X, Y, Z, T
% 0.79/1.16 ) }.
% 0.79/1.16 { ! eqangle( X, Y, Z, T, Z, T, X, Y ), perp( X, Y, Z, T ), para( X, Y, Z, T
% 0.79/1.16 ) }.
% 0.79/1.16 { ! eqangle( X, Y, Z, T, U, W, V0, V1 ), ! para( U, W, V0, V1 ), para( X, Y
% 0.79/1.16 , Z, T ) }.
% 0.79/1.16 { ! eqangle( X, Y, Z, T, U, W, V0, V1 ), ! perp( U, W, V0, V1 ), perp( X, Y
% 0.79/1.16 , Z, T ) }.
% 0.79/1.16 { ! eqratio( X, Y, Z, T, U, W, V0, V1 ), ! cong( U, W, V0, V1 ), cong( X, Y
% 0.79/1.16 , Z, T ) }.
% 0.79/1.16 { ! perp( Z, Y, Y, X ), ! eqangle( T, Z, Y, Z, Y, Z, X, Z ), coll( skol1( U
% 0.79/1.16 , W, Z, T ), Z, T ) }.
% 0.79/1.16 { ! perp( Z, Y, Y, X ), ! eqangle( T, Z, Y, Z, Y, Z, X, Z ), coll( skol1( X
% 0.79/1.16 , Y, Z, T ), X, Y ) }.
% 0.79/1.16 { ! cong( Z, X, Z, Y ), ! eqangle( X, Z, Z, T, Z, T, Z, Y ), coll( skol2( U
% 0.79/1.16 , W, Z, T ), Z, T ) }.
% 0.79/1.16 { ! cong( Z, X, Z, Y ), ! eqangle( X, Z, Z, T, Z, T, Z, Y ), coll( Y, X,
% 0.79/1.16 skol2( X, Y, Z, T ) ) }.
% 0.79/1.16 { ! perp( Z, T, X, Y ), ! eqangle( X, Z, Z, T, Z, T, Z, Y ), coll( skol3( U
% 0.79/1.16 , W, Z, T ), Z, T ) }.
% 0.79/1.16 { ! perp( Z, T, X, Y ), ! eqangle( X, Z, Z, T, Z, T, Z, Y ), coll( Y, X,
% 0.79/1.16 skol3( X, Y, Z, T ) ) }.
% 0.79/1.16 { ! perp( Z, T, X, Y ), ! cong( Z, X, Z, Y ), coll( skol4( U, W, Z, T ), Z
% 0.79/1.16 , T ) }.
% 0.79/1.16 { ! perp( Z, T, X, Y ), ! cong( Z, X, Z, Y ), coll( Y, X, skol4( X, Y, Z, T
% 0.79/1.16 ) ) }.
% 0.79/1.16 { ! eqangle( X, Z, Y, Z, X, T, Y, U ), coll( X, Y, Z ), cyclic( T, Y, Z,
% 0.79/1.16 skol5( W, Y, Z, T ) ) }.
% 0.79/1.16 { ! eqangle( X, Z, Y, Z, X, T, Y, U ), coll( X, Y, Z ), eqangle( X, Z, Y, Z
% 0.79/1.16 , X, skol5( X, Y, Z, T ), Y, skol5( X, Y, Z, T ) ) }.
% 0.79/1.16 { ! midp( U, X, Y ), ! midp( W, Z, T ), midp( skol6( X, V0, V1, T, V2, V3 )
% 0.79/1.16 , X, T ) }.
% 0.79/1.16 { ! midp( U, X, Y ), ! midp( W, Z, T ), para( skol6( X, V0, Z, T, V1, W ),
% 0.79/1.16 W, X, Z ) }.
% 0.79/1.16 { ! midp( U, X, Y ), ! midp( W, Z, T ), para( skol6( X, Y, Z, T, U, W ), U
% 0.79/1.16 , Y, T ) }.
% 0.79/1.16 { ! midp( Z, X, Y ), ! midp( W, T, U ), ! coll( T, X, Y ), ! coll( U, X, Y
% 0.79/1.16 ), midp( skol7( X, V0 ), X, V0 ) }.
% 0.79/1.16 { ! midp( T, X, U ), ! para( X, W, Z, T ), ! para( X, W, U, Y ), ! coll( W
% 0.79/1.16 , Y, Z ), coll( skol8( V0, V1, Z, T ), T, Z ) }.
% 0.79/1.16 { ! midp( T, X, U ), ! para( X, W, Z, T ), ! para( X, W, U, Y ), ! coll( W
% 0.79/1.16 , Y, Z ), coll( skol8( X, Y, Z, T ), X, Y ) }.
% 0.79/1.16 { ! cong( T, Z, T, U ), ! perp( X, Y, Y, T ), cong( T, Z, T, skol9( W, V0,
% 0.79/1.16 Z, T ) ) }.
% 0.79/1.16 { ! cong( T, Z, T, U ), ! perp( X, Y, Y, T ), cong( Y, Z, Y, skol9( W, Y, Z
% 0.79/1.16 , T ) ) }.
% 0.79/1.16 { ! cong( T, Z, T, U ), ! perp( X, Y, Y, T ), para( skol9( X, Y, Z, T ), Z
% 0.79/1.16 , X, Y ) }.
% 0.79/1.16 { ! perp( X, T, Y, Z ), ! perp( Y, T, X, Z ), coll( skol10( U, Y, Z ), Z, Y
% 0.79/1.16 ) }.
% 0.79/1.16 { ! perp( X, T, Y, Z ), ! perp( Y, T, X, Z ), perp( X, skol10( X, Y, Z ), Z
% 0.79/1.16 , Y ) }.
% 0.79/1.16 { ! perp( X, T, Y, Z ), ! perp( Y, T, X, Z ), alpha1( X, Y, Z ) }.
% 0.79/1.16 { ! alpha1( X, Y, Z ), coll( skol11( X, T, Z ), Z, X ) }.
% 0.79/1.16 { ! alpha1( X, Y, Z ), perp( Y, skol11( X, Y, Z ), Z, X ) }.
% 0.79/1.16 { ! coll( T, Z, X ), ! perp( Y, T, Z, X ), alpha1( X, Y, Z ) }.
% 0.79/1.16 { ! circle( Y, X, Z, T ), perp( skol12( X, Y ), X, X, Y ) }.
% 2.11/2.49 { ! circle( W, X, Y, Z ), ! cong( W, X, W, T ), ! cong( U, X, U, Y ), W = U
% 2.11/2.49 , alpha2( X, Z, U, skol13( X, V0, Z, V1, U ) ) }.
% 2.11/2.49 { ! circle( W, X, Y, Z ), ! cong( W, X, W, T ), ! cong( U, X, U, Y ), W = U
% 2.11/2.49 , coll( skol21( V0, Y, T, V1 ), Y, T ) }.
% 2.11/2.49 { ! circle( W, X, Y, Z ), ! cong( W, X, W, T ), ! cong( U, X, U, Y ), W = U
% 2.11/2.49 , cong( skol21( X, Y, T, U ), U, U, X ) }.
% 2.11/2.49 { ! alpha2( X, Y, Z, T ), coll( T, X, Y ) }.
% 2.11/2.49 { ! alpha2( X, Y, Z, T ), cong( T, Z, Z, X ) }.
% 2.11/2.49 { ! coll( T, X, Y ), ! cong( T, Z, Z, X ), alpha2( X, Y, Z, T ) }.
% 2.11/2.49 { ! cyclic( X, Y, Z, T ), ! para( X, Y, Z, T ), ! midp( U, X, Y ), circle(
% 2.11/2.49 skol14( X, Y, Z ), X, Y, Z ) }.
% 2.11/2.49 { ! perp( X, Z, Z, Y ), ! cyclic( X, Y, Z, T ), circle( skol15( X, Y, Z ),
% 2.11/2.49 X, Y, Z ) }.
% 2.11/2.49 { ! perp( X, U, U, T ), ! coll( T, Y, Z ), coll( skol16( W, Y, Z ), Y, Z )
% 2.11/2.49 }.
% 2.11/2.49 { ! perp( X, U, U, T ), ! coll( T, Y, Z ), perp( skol16( X, Y, Z ), X, Y, Z
% 2.11/2.49 ) }.
% 2.11/2.49 { ! perp( X, Z, X, Y ), ! perp( Y, X, Y, T ), ! midp( U, Z, T ), midp(
% 2.11/2.49 skol17( X, Y ), X, Y ) }.
% 2.11/2.49 { ! cong( Y, X, Y, Z ), ! perp( X, Y, Y, Z ), coll( X, Y, skol18( X, Y ) )
% 2.11/2.49 }.
% 2.11/2.49 { ! cong( Y, X, Y, Z ), ! perp( X, Y, Y, Z ), cong( Y, X, Y, skol18( X, Y )
% 2.11/2.49 ) }.
% 2.11/2.49 { ! para( U, W, X, Y ), ! coll( Z, U, X ), ! coll( Z, W, Y ), ! coll( T, U
% 2.11/2.49 , W ), coll( Z, T, skol19( V0, V1, Z, T ) ) }.
% 2.11/2.49 { ! para( U, W, X, Y ), ! coll( Z, U, X ), ! coll( Z, W, Y ), ! coll( T, U
% 2.11/2.49 , W ), coll( skol19( X, Y, Z, T ), X, Y ) }.
% 2.11/2.49 { circle( skol22, skol20, skol24, skol25 ) }.
% 2.11/2.49 { coll( skol26, skol20, skol24 ) }.
% 2.11/2.49 { para( skol24, skol25, skol27, skol26 ) }.
% 2.11/2.49 { coll( skol27, skol20, skol25 ) }.
% 2.11/2.49 { circle( skol23, skol20, skol26, skol27 ) }.
% 2.11/2.49 { ! coll( skol20, skol23, skol22 ) }.
% 2.11/2.49
% 2.11/2.49 percentage equality = 0.008824, percentage horn = 0.926230
% 2.11/2.49 This is a problem with some equality
% 2.11/2.49
% 2.11/2.49
% 2.11/2.49
% 2.11/2.49 Options Used:
% 2.11/2.49
% 2.11/2.49 useres = 1
% 2.11/2.49 useparamod = 1
% 2.11/2.49 useeqrefl = 1
% 2.11/2.49 useeqfact = 1
% 2.11/2.49 usefactor = 1
% 2.11/2.49 usesimpsplitting = 0
% 2.11/2.49 usesimpdemod = 5
% 2.11/2.49 usesimpres = 3
% 2.11/2.49
% 2.11/2.49 resimpinuse = 1000
% 2.11/2.49 resimpclauses = 20000
% 2.11/2.49 substype = eqrewr
% 2.11/2.49 backwardsubs = 1
% 2.11/2.49 selectoldest = 5
% 2.11/2.49
% 2.11/2.49 litorderings [0] = split
% 2.11/2.49 litorderings [1] = extend the termordering, first sorting on arguments
% 2.11/2.49
% 2.11/2.49 termordering = kbo
% 2.11/2.49
% 2.11/2.49 litapriori = 0
% 2.11/2.49 termapriori = 1
% 2.11/2.49 litaposteriori = 0
% 2.11/2.49 termaposteriori = 0
% 2.11/2.49 demodaposteriori = 0
% 2.11/2.49 ordereqreflfact = 0
% 2.11/2.49
% 2.11/2.49 litselect = negord
% 2.11/2.49
% 2.11/2.49 maxweight = 15
% 2.11/2.49 maxdepth = 30000
% 2.11/2.49 maxlength = 115
% 2.11/2.49 maxnrvars = 195
% 2.11/2.49 excuselevel = 1
% 2.11/2.49 increasemaxweight = 1
% 2.11/2.49
% 2.11/2.49 maxselected = 10000000
% 2.11/2.49 maxnrclauses = 10000000
% 2.11/2.49
% 2.11/2.49 showgenerated = 0
% 2.11/2.49 showkept = 0
% 2.11/2.49 showselected = 0
% 2.11/2.49 showdeleted = 0
% 2.11/2.49 showresimp = 1
% 2.11/2.49 showstatus = 2000
% 2.11/2.49
% 2.11/2.49 prologoutput = 0
% 2.11/2.49 nrgoals = 5000000
% 2.11/2.49 totalproof = 1
% 2.11/2.49
% 2.11/2.49 Symbols occurring in the translation:
% 2.11/2.49
% 2.11/2.49 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 2.11/2.49 . [1, 2] (w:1, o:36, a:1, s:1, b:0),
% 2.11/2.49 ! [4, 1] (w:0, o:31, a:1, s:1, b:0),
% 2.11/2.49 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 2.11/2.49 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 2.11/2.49 coll [38, 3] (w:1, o:64, a:1, s:1, b:0),
% 2.11/2.49 para [40, 4] (w:1, o:72, a:1, s:1, b:0),
% 2.11/2.49 perp [43, 4] (w:1, o:73, a:1, s:1, b:0),
% 2.11/2.49 midp [45, 3] (w:1, o:65, a:1, s:1, b:0),
% 2.11/2.49 cong [47, 4] (w:1, o:74, a:1, s:1, b:0),
% 2.11/2.49 circle [48, 4] (w:1, o:75, a:1, s:1, b:0),
% 2.11/2.49 cyclic [49, 4] (w:1, o:76, a:1, s:1, b:0),
% 2.11/2.49 eqangle [54, 8] (w:1, o:91, a:1, s:1, b:0),
% 2.11/2.49 eqratio [57, 8] (w:1, o:92, a:1, s:1, b:0),
% 2.11/2.49 simtri [59, 6] (w:1, o:88, a:1, s:1, b:0),
% 2.11/2.49 contri [60, 6] (w:1, o:89, a:1, s:1, b:0),
% 2.11/2.49 alpha1 [64, 3] (w:1, o:66, a:1, s:1, b:1),
% 2.11/2.49 alpha2 [65, 4] (w:1, o:77, a:1, s:1, b:1),
% 2.11/2.49 skol1 [66, 4] (w:1, o:78, a:1, s:1, b:1),
% 2.11/2.49 skol2 [67, 4] (w:1, o:80, a:1, s:1, b:1),
% 2.11/2.49 skol3 [68, 4] (w:1, o:82, a:1, s:1, b:1),
% 2.11/2.49 skol4 [69, 4] (w:1, o:83, a:1, s:1, b:1),
% 2.11/2.49 skol5 [70, 4] (w:1, o:84, a:1, s:1, b:1),
% 2.11/2.49 skol6 [71, 6] (w:1, o:90, a:1, s:1, b:1),
% 2.11/2.49 skol7 [72, 2] (w:1, o:60, a:1, s:1, b:1),
% 2.11/2.49 skol8 [73, 4] (w:1, o:85, a:1, s:1, b:1),
% 2.11/2.49 skol9 [74, 4] (w:1, o:86, a:1, s:1, b:1),
% 2.11/2.49 skol10 [75, 3] (w:1, o:67, a:1, s:1, b:1),
% 2.11/2.49 skol11 [76, 3] (w:1, o:68, a:1, s:1, b:1),
% 2.11/2.49 skol12 [77, 2] (w:1, o:61, a:1, s:1, b:1),
% 2.11/2.49 skol13 [78, 5] (w:1, o:87, a:1, s:1, b:1),
% 2.11/2.49 skol14 [79, 3] (w:1, o:69, a:1, s:1, b:1),
% 2.11/2.49 skol15 [80, 3] (w:1, o:70, a:1, s:1, b:1),
% 2.11/2.49 skol16 [81, 3] (w:1, o:71, a:1, s:1, b:1),
% 2.11/2.49 skol17 [82, 2] (w:1, o:62, a:1, s:1, b:1),
% 2.11/2.49 skol18 [83, 2] (w:1, o:63, a:1, s:1, b:1),
% 2.11/2.49 skol19 [84, 4] (w:1, o:79, a:1, s:1, b:1),
% 2.11/2.49 skol20 [85, 0] (w:1, o:24, a:1, s:1, b:1),
% 2.11/2.49 skol21 [86, 4] (w:1, o:81, a:1, s:1, b:1),
% 2.11/2.49 skol22 [87, 0] (w:1, o:25, a:1, s:1, b:1),
% 2.11/2.49 skol23 [88, 0] (w:1, o:26, a:1, s:1, b:1),
% 2.11/2.49 skol24 [89, 0] (w:1, o:27, a:1, s:1, b:1),
% 2.11/2.49 skol25 [90, 0] (w:1, o:28, a:1, s:1, b:1),
% 2.11/2.49 skol26 [91, 0] (w:1, o:29, a:1, s:1, b:1),
% 2.11/2.49 skol27 [92, 0] (w:1, o:30, a:1, s:1, b:1).
% 2.11/2.49
% 2.11/2.49
% 2.11/2.49 Starting Search:
% 2.11/2.49
% 2.11/2.49 *** allocated 15000 integers for clauses
% 2.11/2.49 *** allocated 22500 integers for clauses
% 2.11/2.49 *** allocated 33750 integers for clauses
% 2.11/2.49 *** allocated 22500 integers for termspace/termends
% 2.11/2.49 *** allocated 50625 integers for clauses
% 2.11/2.49 Resimplifying inuse:
% 2.11/2.49 Done
% 2.11/2.49
% 2.11/2.49 *** allocated 75937 integers for clauses
% 2.11/2.49 *** allocated 33750 integers for termspace/termends
% 2.11/2.49 *** allocated 113905 integers for clauses
% 2.11/2.49 *** allocated 50625 integers for termspace/termends
% 2.11/2.49
% 2.11/2.49 Intermediate Status:
% 2.11/2.49 Generated: 19788
% 2.11/2.49 Kept: 2048
% 2.11/2.49 Inuse: 336
% 2.11/2.49 Deleted: 1
% 2.11/2.49 Deletedinuse: 1
% 2.11/2.49
% 2.11/2.49 Resimplifying inuse:
% 2.11/2.49 Done
% 2.11/2.49
% 2.11/2.49 *** allocated 170857 integers for clauses
% 2.11/2.49 *** allocated 75937 integers for termspace/termends
% 2.11/2.49 Resimplifying inuse:
% 2.11/2.49 Done
% 2.11/2.49
% 2.11/2.49 *** allocated 256285 integers for clauses
% 2.11/2.49 *** allocated 113905 integers for termspace/termends
% 2.11/2.49
% 2.11/2.49 Intermediate Status:
% 2.11/2.49 Generated: 33860
% 2.11/2.49 Kept: 4066
% 2.11/2.49 Inuse: 486
% 2.11/2.49 Deleted: 1
% 2.11/2.49 Deletedinuse: 1
% 2.11/2.49
% 2.11/2.49 Resimplifying inuse:
% 2.11/2.49 Done
% 2.11/2.49
% 2.11/2.49 Resimplifying inuse:
% 2.11/2.49 Done
% 2.11/2.49
% 2.11/2.49 *** allocated 170857 integers for termspace/termends
% 2.11/2.49 *** allocated 384427 integers for clauses
% 2.11/2.49
% 2.11/2.49 Intermediate Status:
% 2.11/2.49 Generated: 47234
% 2.11/2.49 Kept: 6103
% 2.11/2.49 Inuse: 561
% 2.11/2.49 Deleted: 1
% 2.11/2.49 Deletedinuse: 1
% 2.11/2.49
% 2.11/2.49 Resimplifying inuse:
% 2.11/2.49 Done
% 2.11/2.49
% 2.11/2.49 Resimplifying inuse:
% 2.11/2.49 Done
% 2.11/2.49
% 2.11/2.49 *** allocated 576640 integers for clauses
% 2.11/2.49
% 2.11/2.49 Intermediate Status:
% 2.11/2.49 Generated: 75399
% 2.11/2.49 Kept: 8316
% 2.11/2.49 Inuse: 759
% 2.11/2.49 Deleted: 3
% 2.11/2.49 Deletedinuse: 1
% 2.11/2.49
% 2.11/2.49 Resimplifying inuse:
% 2.11/2.49 Done
% 2.11/2.49
% 2.11/2.49 *** allocated 256285 integers for termspace/termends
% 2.11/2.49 Resimplifying inuse:
% 2.11/2.49 Done
% 2.11/2.49
% 2.11/2.49
% 2.11/2.49 Intermediate Status:
% 2.11/2.49 Generated: 85938
% 2.11/2.49 Kept: 10332
% 2.11/2.49 Inuse: 823
% 2.11/2.49 Deleted: 104
% 2.11/2.49 Deletedinuse: 96
% 2.11/2.49
% 2.11/2.49 Resimplifying inuse:
% 2.11/2.49 Done
% 2.11/2.49
% 2.11/2.49 Resimplifying inuse:
% 2.11/2.49 Done
% 2.11/2.49
% 2.11/2.49
% 2.11/2.49 Bliksems!, er is een bewijs:
% 2.11/2.49 % SZS status Theorem
% 2.11/2.49 % SZS output start Refutation
% 2.11/2.49
% 2.11/2.49 (0) {G0,W8,D2,L2,V3,M2} I { ! coll( X, Y, Z ), coll( X, Z, Y ) }.
% 2.11/2.49 (1) {G0,W8,D2,L2,V3,M2} I { ! coll( X, Y, Z ), coll( Y, X, Z ) }.
% 2.11/2.49 (2) {G0,W12,D2,L3,V4,M3} I { ! coll( X, T, Y ), ! coll( X, T, Z ), coll( Y
% 2.11/2.49 , Z, X ) }.
% 2.11/2.49 (6) {G0,W10,D2,L2,V4,M2} I { ! perp( X, Y, Z, T ), perp( X, Y, T, Z ) }.
% 2.11/2.49 (7) {G0,W10,D2,L2,V4,M2} I { ! perp( X, Y, Z, T ), perp( Z, T, X, Y ) }.
% 2.11/2.49 (96) {G0,W14,D2,L3,V4,M3} I { ! perp( X, T, Y, Z ), ! perp( Y, T, X, Z ),
% 2.11/2.49 alpha1( X, Y, Z ) }.
% 2.11/2.49 (97) {G0,W11,D3,L2,V4,M2} I { ! alpha1( X, Y, Z ), coll( skol11( X, T, Z )
% 2.11/2.49 , Z, X ) }.
% 2.11/2.49 (100) {G0,W12,D3,L2,V4,M2} I { ! circle( Y, X, Z, T ), perp( skol12( X, Y )
% 2.11/2.49 , X, X, Y ) }.
% 2.11/2.49 (116) {G0,W5,D2,L1,V0,M1} I { circle( skol22, skol20, skol24, skol25 ) }.
% 2.11/2.49 (120) {G0,W5,D2,L1,V0,M1} I { circle( skol23, skol20, skol26, skol27 ) }.
% 2.11/2.49 (121) {G0,W4,D2,L1,V0,M1} I { ! coll( skol20, skol23, skol22 ) }.
% 2.11/2.49 (161) {G1,W4,D2,L1,V0,M1} R(0,121) { ! coll( skol20, skol22, skol23 ) }.
% 2.11/2.49 (185) {G1,W12,D2,L3,V4,M3} R(2,0) { ! coll( X, Y, Z ), coll( T, Z, X ), !
% 2.11/2.49 coll( X, T, Y ) }.
% 2.11/2.49 (187) {G1,W12,D2,L3,V4,M3} R(2,0) { ! coll( X, Y, Z ), ! coll( X, Y, T ),
% 2.11/2.49 coll( Z, X, T ) }.
% 2.11/2.49 (193) {G2,W8,D2,L2,V3,M2} F(187) { ! coll( X, Y, Z ), coll( Z, X, Z ) }.
% 2.11/2.49 (254) {G3,W12,D2,L3,V4,M3} R(193,2) { coll( X, Y, X ), ! coll( X, Z, Y ), !
% 2.11/2.49 coll( X, Z, T ) }.
% 2.11/2.49 (257) {G3,W8,D2,L2,V3,M2} R(193,1) { coll( X, Y, X ), ! coll( Z, Y, X ) }.
% 2.11/2.49 (264) {G4,W8,D2,L2,V3,M2} F(254) { coll( X, Y, X ), ! coll( X, Z, Y ) }.
% 2.11/2.49 (401) {G5,W8,D2,L2,V3,M2} R(264,1) { ! coll( X, Y, Z ), coll( Z, X, X ) }.
% 2.11/2.49 (406) {G6,W8,D2,L2,V3,M2} R(401,1) { coll( X, Y, Y ), ! coll( Z, Y, X ) }.
% 2.11/2.49 (407) {G6,W8,D2,L2,V3,M2} R(401,0) { coll( X, Y, Y ), ! coll( Y, X, Z ) }.
% 2.11/2.49 (408) {G7,W8,D2,L2,V3,M2} R(406,401) { ! coll( X, Y, Z ), coll( Y, Z, Z )
% 2.11/2.49 }.
% 2.11/2.49 (413) {G7,W8,D2,L2,V3,M2} R(407,407) { ! coll( X, Y, Z ), coll( X, Y, Y )
% 2.11/2.49 }.
% 2.11/2.49 (416) {G8,W12,D2,L3,V4,M3} R(413,2) { ! coll( X, Y, Z ), ! coll( X, Y, T )
% 2.11/2.49 , coll( T, Y, X ) }.
% 2.11/2.49 (417) {G9,W8,D2,L2,V3,M2} F(416) { ! coll( X, Y, Z ), coll( Z, Y, X ) }.
% 2.11/2.49 (418) {G10,W8,D2,L2,V3,M2} R(417,413) { coll( X, X, Y ), ! coll( Y, X, Z )
% 2.11/2.49 }.
% 2.11/2.49 (420) {G10,W8,D2,L2,V3,M2} R(417,408) { coll( X, X, Y ), ! coll( Z, Y, X )
% 2.11/2.49 }.
% 2.11/2.49 (421) {G10,W8,D2,L2,V3,M2} R(417,406) { coll( X, X, Y ), ! coll( Z, X, Y )
% 2.11/2.49 }.
% 2.11/2.49 (4043) {G4,W8,D2,L2,V3,M2} R(97,257) { ! alpha1( X, Y, Z ), coll( X, Z, X )
% 2.11/2.49 }.
% 2.11/2.49 (4047) {G11,W8,D2,L2,V3,M2} R(97,421) { ! alpha1( X, Y, Z ), coll( Z, Z, X
% 2.11/2.49 ) }.
% 2.11/2.49 (4048) {G11,W8,D2,L2,V3,M2} R(97,420) { ! alpha1( X, Y, Z ), coll( X, X, Z
% 2.11/2.49 ) }.
% 2.11/2.49 (4460) {G1,W7,D3,L1,V0,M1} R(100,116) { perp( skol12( skol20, skol22 ),
% 2.11/2.49 skol20, skol20, skol22 ) }.
% 2.11/2.49 (4461) {G1,W7,D3,L1,V0,M1} R(100,120) { perp( skol12( skol20, skol23 ),
% 2.11/2.49 skol20, skol20, skol23 ) }.
% 2.11/2.49 (4474) {G2,W7,D3,L1,V0,M1} R(4460,7) { perp( skol20, skol22, skol12( skol20
% 2.11/2.49 , skol22 ), skol20 ) }.
% 2.11/2.49 (4485) {G3,W7,D3,L1,V0,M1} R(4474,6) { perp( skol20, skol22, skol20, skol12
% 2.11/2.49 ( skol20, skol22 ) ) }.
% 2.11/2.49 (4495) {G4,W7,D3,L1,V0,M1} R(4485,7) { perp( skol20, skol12( skol20, skol22
% 2.11/2.49 ), skol20, skol22 ) }.
% 2.11/2.49 (4633) {G5,W4,D2,L1,V0,M1} R(4495,96);r(4495) { alpha1( skol20, skol20,
% 2.11/2.49 skol22 ) }.
% 2.11/2.49 (4786) {G6,W4,D2,L1,V0,M1} R(4633,4043) { coll( skol20, skol22, skol20 )
% 2.11/2.49 }.
% 2.11/2.49 (6600) {G2,W7,D3,L1,V0,M1} R(4461,7) { perp( skol20, skol23, skol12( skol20
% 2.11/2.49 , skol23 ), skol20 ) }.
% 2.11/2.49 (6611) {G3,W7,D3,L1,V0,M1} R(6600,6) { perp( skol20, skol23, skol20, skol12
% 2.11/2.49 ( skol20, skol23 ) ) }.
% 2.11/2.49 (6625) {G4,W7,D3,L1,V0,M1} R(6611,7) { perp( skol20, skol12( skol20, skol23
% 2.11/2.49 ), skol20, skol23 ) }.
% 2.11/2.49 (6663) {G5,W4,D2,L1,V0,M1} R(6625,96);r(6625) { alpha1( skol20, skol20,
% 2.11/2.49 skol23 ) }.
% 2.11/2.49 (6676) {G12,W4,D2,L1,V0,M1} R(6663,4048) { coll( skol20, skol20, skol23 )
% 2.11/2.49 }.
% 2.11/2.49 (6677) {G12,W4,D2,L1,V0,M1} R(6663,4047) { coll( skol23, skol23, skol20 )
% 2.11/2.49 }.
% 2.11/2.49 (6731) {G13,W8,D2,L2,V1,M2} R(6677,2) { ! coll( skol23, skol23, X ), coll(
% 2.11/2.49 skol20, X, skol23 ) }.
% 2.11/2.49 (7858) {G14,W4,D2,L1,V0,M1} R(6731,161) { ! coll( skol23, skol23, skol22 )
% 2.11/2.49 }.
% 2.11/2.49 (7881) {G15,W4,D2,L1,V1,M1} R(7858,418) { ! coll( skol22, skol23, X ) }.
% 2.11/2.49 (9308) {G16,W8,D2,L2,V2,M2} R(185,7881) { ! coll( X, Y, skol23 ), ! coll( X
% 2.11/2.49 , skol22, Y ) }.
% 2.11/2.49 (12072) {G17,W0,D0,L0,V0,M0} R(9308,6676);r(4786) { }.
% 2.11/2.49
% 2.11/2.49
% 2.11/2.49 % SZS output end Refutation
% 2.11/2.49 found a proof!
% 2.11/2.49
% 2.11/2.49
% 2.11/2.49 Unprocessed initial clauses:
% 2.11/2.49
% 2.11/2.49 (12074) {G0,W8,D2,L2,V3,M2} { ! coll( X, Y, Z ), coll( X, Z, Y ) }.
% 2.11/2.49 (12075) {G0,W8,D2,L2,V3,M2} { ! coll( X, Y, Z ), coll( Y, X, Z ) }.
% 2.11/2.49 (12076) {G0,W12,D2,L3,V4,M3} { ! coll( X, T, Y ), ! coll( X, T, Z ), coll
% 2.11/2.49 ( Y, Z, X ) }.
% 2.11/2.49 (12077) {G0,W10,D2,L2,V4,M2} { ! para( X, Y, Z, T ), para( X, Y, T, Z )
% 2.11/2.49 }.
% 2.11/2.49 (12078) {G0,W10,D2,L2,V4,M2} { ! para( X, Y, Z, T ), para( Z, T, X, Y )
% 2.11/2.49 }.
% 2.11/2.49 (12079) {G0,W15,D2,L3,V6,M3} { ! para( X, Y, U, W ), ! para( U, W, Z, T )
% 2.11/2.49 , para( X, Y, Z, T ) }.
% 2.11/2.49 (12080) {G0,W10,D2,L2,V4,M2} { ! perp( X, Y, Z, T ), perp( X, Y, T, Z )
% 2.11/2.49 }.
% 2.11/2.49 (12081) {G0,W10,D2,L2,V4,M2} { ! perp( X, Y, Z, T ), perp( Z, T, X, Y )
% 2.11/2.49 }.
% 2.11/2.49 (12082) {G0,W15,D2,L3,V6,M3} { ! perp( X, Y, U, W ), ! perp( U, W, Z, T )
% 2.11/2.49 , para( X, Y, Z, T ) }.
% 2.11/2.49 (12083) {G0,W15,D2,L3,V6,M3} { ! para( X, Y, U, W ), ! perp( U, W, Z, T )
% 2.11/2.49 , perp( X, Y, Z, T ) }.
% 2.11/2.49 (12084) {G0,W8,D2,L2,V3,M2} { ! midp( Z, Y, X ), midp( Z, X, Y ) }.
% 2.11/2.49 (12085) {G0,W15,D2,L3,V4,M3} { ! cong( T, X, T, Y ), ! cong( T, X, T, Z )
% 2.11/2.49 , circle( T, X, Y, Z ) }.
% 2.11/2.49 (12086) {G0,W20,D2,L4,V5,M4} { ! cong( U, X, U, Y ), ! cong( U, X, U, Z )
% 2.11/2.49 , ! cong( U, X, U, T ), cyclic( X, Y, Z, T ) }.
% 2.11/2.49 (12087) {G0,W10,D2,L2,V4,M2} { ! cyclic( X, Y, Z, T ), cyclic( X, Y, T, Z
% 2.11/2.49 ) }.
% 2.11/2.49 (12088) {G0,W10,D2,L2,V4,M2} { ! cyclic( X, Y, Z, T ), cyclic( X, Z, Y, T
% 2.11/2.49 ) }.
% 2.11/2.49 (12089) {G0,W10,D2,L2,V4,M2} { ! cyclic( X, Y, Z, T ), cyclic( Y, X, Z, T
% 2.11/2.49 ) }.
% 2.11/2.49 (12090) {G0,W15,D2,L3,V5,M3} { ! cyclic( U, X, Y, Z ), ! cyclic( U, X, Y,
% 2.11/2.49 T ), cyclic( X, Y, Z, T ) }.
% 2.11/2.49 (12091) {G0,W18,D2,L2,V8,M2} { ! eqangle( X, Y, Z, T, U, W, V0, V1 ),
% 2.11/2.49 eqangle( Y, X, Z, T, U, W, V0, V1 ) }.
% 2.11/2.49 (12092) {G0,W18,D2,L2,V8,M2} { ! eqangle( X, Y, Z, T, U, W, V0, V1 ),
% 2.11/2.49 eqangle( Z, T, X, Y, V0, V1, U, W ) }.
% 2.11/2.49 (12093) {G0,W18,D2,L2,V8,M2} { ! eqangle( X, Y, Z, T, U, W, V0, V1 ),
% 2.11/2.49 eqangle( U, W, V0, V1, X, Y, Z, T ) }.
% 2.11/2.49 (12094) {G0,W18,D2,L2,V8,M2} { ! eqangle( X, Y, Z, T, U, W, V0, V1 ),
% 2.11/2.49 eqangle( X, Y, U, W, Z, T, V0, V1 ) }.
% 2.11/2.49 (12095) {G0,W27,D2,L3,V12,M3} { ! eqangle( X, Y, Z, T, V2, V3, V4, V5 ), !
% 2.11/2.49 eqangle( V2, V3, V4, V5, U, W, V0, V1 ), eqangle( X, Y, Z, T, U, W, V0,
% 2.11/2.49 V1 ) }.
% 2.11/2.49 (12096) {G0,W10,D2,L2,V4,M2} { ! cong( X, Y, Z, T ), cong( X, Y, T, Z )
% 2.11/2.49 }.
% 2.11/2.49 (12097) {G0,W10,D2,L2,V4,M2} { ! cong( X, Y, Z, T ), cong( Z, T, X, Y )
% 2.11/2.49 }.
% 2.11/2.49 (12098) {G0,W15,D2,L3,V6,M3} { ! cong( X, Y, U, W ), ! cong( U, W, Z, T )
% 2.11/2.49 , cong( X, Y, Z, T ) }.
% 2.11/2.49 (12099) {G0,W18,D2,L2,V8,M2} { ! eqratio( X, Y, Z, T, U, W, V0, V1 ),
% 2.11/2.49 eqratio( Y, X, Z, T, U, W, V0, V1 ) }.
% 2.11/2.49 (12100) {G0,W18,D2,L2,V8,M2} { ! eqratio( X, Y, Z, T, U, W, V0, V1 ),
% 2.11/2.49 eqratio( Z, T, X, Y, V0, V1, U, W ) }.
% 2.11/2.49 (12101) {G0,W18,D2,L2,V8,M2} { ! eqratio( X, Y, Z, T, U, W, V0, V1 ),
% 2.11/2.49 eqratio( U, W, V0, V1, X, Y, Z, T ) }.
% 2.11/2.49 (12102) {G0,W18,D2,L2,V8,M2} { ! eqratio( X, Y, Z, T, U, W, V0, V1 ),
% 2.11/2.49 eqratio( X, Y, U, W, Z, T, V0, V1 ) }.
% 2.11/2.49 (12103) {G0,W27,D2,L3,V12,M3} { ! eqratio( X, Y, Z, T, V2, V3, V4, V5 ), !
% 2.11/2.49 eqratio( V2, V3, V4, V5, U, W, V0, V1 ), eqratio( X, Y, Z, T, U, W, V0,
% 2.11/2.49 V1 ) }.
% 2.11/2.49 (12104) {G0,W14,D2,L2,V6,M2} { ! simtri( X, Z, Y, T, W, U ), simtri( X, Y
% 2.11/2.49 , Z, T, U, W ) }.
% 2.11/2.49 (12105) {G0,W14,D2,L2,V6,M2} { ! simtri( Y, X, Z, U, T, W ), simtri( X, Y
% 2.11/2.49 , Z, T, U, W ) }.
% 2.11/2.49 (12106) {G0,W14,D2,L2,V6,M2} { ! simtri( T, U, W, X, Y, Z ), simtri( X, Y
% 2.11/2.49 , Z, T, U, W ) }.
% 2.11/2.49 (12107) {G0,W21,D2,L3,V9,M3} { ! simtri( X, Y, Z, V0, V1, V2 ), ! simtri(
% 2.11/2.49 V0, V1, V2, T, U, W ), simtri( X, Y, Z, T, U, W ) }.
% 2.11/2.49 (12108) {G0,W14,D2,L2,V6,M2} { ! contri( X, Z, Y, T, W, U ), contri( X, Y
% 2.11/2.49 , Z, T, U, W ) }.
% 2.11/2.49 (12109) {G0,W14,D2,L2,V6,M2} { ! contri( Y, X, Z, U, T, W ), contri( X, Y
% 2.11/2.49 , Z, T, U, W ) }.
% 2.11/2.49 (12110) {G0,W14,D2,L2,V6,M2} { ! contri( T, U, W, X, Y, Z ), contri( X, Y
% 2.11/2.49 , Z, T, U, W ) }.
% 2.11/2.49 (12111) {G0,W21,D2,L3,V9,M3} { ! contri( X, Y, Z, V0, V1, V2 ), ! contri(
% 2.11/2.49 V0, V1, V2, T, U, W ), contri( X, Y, Z, T, U, W ) }.
% 2.11/2.49 (12112) {G0,W14,D2,L2,V6,M2} { ! eqangle( X, Y, U, W, Z, T, U, W ), para(
% 2.11/2.49 X, Y, Z, T ) }.
% 2.11/2.49 (12113) {G0,W14,D2,L2,V6,M2} { ! para( X, Y, Z, T ), eqangle( X, Y, U, W,
% 2.11/2.49 Z, T, U, W ) }.
% 2.11/2.49 (12114) {G0,W14,D2,L2,V4,M2} { ! cyclic( X, Y, Z, T ), eqangle( Z, X, Z, Y
% 2.11/2.49 , T, X, T, Y ) }.
% 2.11/2.49 (12115) {G0,W18,D2,L3,V4,M3} { ! eqangle( Z, X, Z, Y, T, X, T, Y ), coll(
% 2.11/2.49 Z, T, X ), cyclic( X, Y, Z, T ) }.
% 2.11/2.49 (12116) {G0,W18,D2,L3,V4,M3} { ! eqangle( Z, X, Z, Y, T, X, T, Y ), ! coll
% 2.11/2.49 ( Z, T, Y ), cyclic( X, Y, Z, T ) }.
% 2.11/2.49 (12117) {G0,W29,D2,L5,V6,M5} { ! cyclic( X, Y, U, Z ), ! cyclic( X, Y, U,
% 2.11/2.49 T ), ! cyclic( X, Y, U, W ), ! eqangle( U, X, U, Y, W, Z, W, T ), cong( X
% 2.11/2.49 , Y, Z, T ) }.
% 2.11/2.49 (12118) {G0,W13,D2,L3,V5,M3} { ! midp( Z, U, X ), ! midp( T, U, Y ), para
% 2.11/2.49 ( Z, T, X, Y ) }.
% 2.11/2.49 (12119) {G0,W17,D2,L4,V5,M4} { ! midp( U, X, T ), ! para( U, Z, T, Y ), !
% 2.11/2.49 coll( Z, X, Y ), midp( Z, X, Y ) }.
% 2.11/2.49 (12120) {G0,W14,D2,L2,V3,M2} { ! cong( Z, X, Z, Y ), eqangle( Z, X, X, Y,
% 2.11/2.49 X, Y, Z, Y ) }.
% 2.11/2.49 (12121) {G0,W18,D2,L3,V3,M3} { ! eqangle( Z, X, X, Y, X, Y, Z, Y ), coll(
% 2.11/2.49 Z, X, Y ), cong( Z, X, Z, Y ) }.
% 2.11/2.49 (12122) {G0,W19,D2,L3,V5,M3} { ! circle( U, X, Y, Z ), ! perp( U, X, X, T
% 2.11/2.49 ), eqangle( X, T, X, Y, Z, X, Z, Y ) }.
% 2.11/2.49 (12123) {G0,W19,D2,L3,V5,M3} { ! circle( Y, X, T, U ), ! eqangle( X, Z, X
% 2.11/2.49 , T, U, X, U, T ), perp( Y, X, X, Z ) }.
% 2.11/2.49 (12124) {G0,W18,D2,L3,V5,M3} { ! circle( T, X, Y, Z ), ! midp( U, Y, Z ),
% 2.11/2.49 eqangle( X, Y, X, Z, T, Y, T, U ) }.
% 2.11/2.49 (12125) {G0,W22,D2,L4,V5,M4} { ! circle( U, T, X, Y ), ! coll( Z, X, Y ),
% 2.11/2.49 ! eqangle( T, X, T, Y, U, X, U, Z ), midp( Z, X, Y ) }.
% 2.11/2.49 (12126) {G0,W14,D2,L3,V4,M3} { ! perp( X, Y, Y, T ), ! midp( Z, X, T ),
% 2.11/2.49 cong( X, Z, Y, Z ) }.
% 2.11/2.49 (12127) {G0,W14,D2,L3,V4,M3} { ! circle( T, X, Y, Z ), ! coll( T, X, Z ),
% 2.11/2.49 perp( X, Y, Y, Z ) }.
% 2.11/2.49 (12128) {G0,W19,D2,L3,V4,M3} { ! cyclic( X, Y, Z, T ), ! para( X, Y, Z, T
% 2.11/2.49 ), eqangle( X, T, Z, T, Z, T, Z, Y ) }.
% 2.11/2.49 (12129) {G0,W14,D2,L3,V4,M3} { ! midp( T, X, Y ), ! perp( Z, T, X, Y ),
% 2.11/2.49 cong( Z, X, Z, Y ) }.
% 2.11/2.49 (12130) {G0,W15,D2,L3,V4,M3} { ! cong( X, Z, Y, Z ), ! cong( X, T, Y, T )
% 2.11/2.49 , perp( X, Y, Z, T ) }.
% 2.11/2.49 (12131) {G0,W20,D2,L4,V4,M4} { ! cong( X, Y, T, Y ), ! cong( X, Z, T, Z )
% 2.11/2.49 , ! cyclic( X, T, Y, Z ), perp( Y, X, X, Z ) }.
% 2.11/2.49 (12132) {G0,W29,D2,L4,V6,M4} { ! eqangle( X, Y, Y, Z, T, U, U, W ), !
% 2.11/2.49 eqangle( X, Z, Y, Z, T, W, U, W ), coll( X, Y, Z ), simtri( X, Y, Z, T, U
% 2.11/2.49 , W ) }.
% 2.11/2.49 (12133) {G0,W16,D2,L2,V6,M2} { ! simtri( X, Y, Z, T, U, W ), eqratio( X, Y
% 2.11/2.49 , X, Z, T, U, T, W ) }.
% 2.11/2.49 (12134) {G0,W16,D2,L2,V6,M2} { ! simtri( X, Y, Z, T, U, W ), eqangle( X, Y
% 2.11/2.49 , Y, Z, T, U, U, W ) }.
% 2.11/2.49 (12135) {G0,W19,D2,L3,V6,M3} { ! simtri( X, Y, Z, T, U, W ), ! cong( X, Y
% 2.11/2.49 , T, U ), contri( X, Y, Z, T, U, W ) }.
% 2.11/2.49 (12136) {G0,W12,D2,L2,V6,M2} { ! contri( X, Y, U, Z, T, W ), cong( X, Y, Z
% 2.11/2.49 , T ) }.
% 2.11/2.49 (12137) {G0,W13,D2,L3,V5,M3} { ! midp( U, X, Y ), ! midp( U, Z, T ), para
% 2.11/2.49 ( X, Z, Y, T ) }.
% 2.11/2.49 (12138) {G0,W18,D2,L4,V5,M4} { ! midp( Z, T, U ), ! para( T, X, U, Y ), !
% 2.11/2.49 para( T, Y, U, X ), midp( Z, X, Y ) }.
% 2.11/2.49 (12139) {G0,W22,D2,L4,V5,M4} { ! para( X, Y, Z, T ), ! coll( U, X, Z ), !
% 2.11/2.49 coll( U, Y, T ), eqratio( U, X, X, Z, U, Y, Y, T ) }.
% 2.11/2.49 (12140) {G0,W9,D2,L2,V3,M2} { ! para( X, Y, X, Z ), coll( X, Y, Z ) }.
% 2.11/2.49 (12141) {G0,W13,D2,L3,V3,M3} { ! cong( X, Y, X, Z ), ! coll( X, Y, Z ),
% 2.11/2.49 midp( X, Y, Z ) }.
% 2.11/2.49 (12142) {G0,W9,D2,L2,V3,M2} { ! midp( X, Y, Z ), cong( X, Y, X, Z ) }.
% 2.11/2.49 (12143) {G0,W8,D2,L2,V3,M2} { ! midp( X, Y, Z ), coll( X, Y, Z ) }.
% 2.11/2.49 (12144) {G0,W17,D2,L3,V6,M3} { ! midp( U, X, Y ), ! midp( W, Z, T ),
% 2.11/2.49 eqratio( U, X, X, Y, W, Z, Z, T ) }.
% 2.11/2.49 (12145) {G0,W19,D2,L3,V4,M3} { ! eqangle( X, Y, Z, T, Z, T, X, Y ), para(
% 2.11/2.49 X, Y, Z, T ), perp( X, Y, Z, T ) }.
% 2.11/2.49 (12146) {G0,W19,D2,L3,V4,M3} { ! eqangle( X, Y, Z, T, Z, T, X, Y ), perp(
% 2.11/2.49 X, Y, Z, T ), para( X, Y, Z, T ) }.
% 2.11/2.49 (12147) {G0,W19,D2,L3,V8,M3} { ! eqangle( X, Y, Z, T, U, W, V0, V1 ), !
% 2.11/2.49 para( U, W, V0, V1 ), para( X, Y, Z, T ) }.
% 2.11/2.49 (12148) {G0,W19,D2,L3,V8,M3} { ! eqangle( X, Y, Z, T, U, W, V0, V1 ), !
% 2.11/2.49 perp( U, W, V0, V1 ), perp( X, Y, Z, T ) }.
% 2.11/2.49 (12149) {G0,W19,D2,L3,V8,M3} { ! eqratio( X, Y, Z, T, U, W, V0, V1 ), !
% 2.11/2.49 cong( U, W, V0, V1 ), cong( X, Y, Z, T ) }.
% 2.11/2.49 (12150) {G0,W22,D3,L3,V6,M3} { ! perp( Z, Y, Y, X ), ! eqangle( T, Z, Y, Z
% 2.11/2.49 , Y, Z, X, Z ), coll( skol1( U, W, Z, T ), Z, T ) }.
% 2.11/2.49 (12151) {G0,W22,D3,L3,V4,M3} { ! perp( Z, Y, Y, X ), ! eqangle( T, Z, Y, Z
% 2.11/2.49 , Y, Z, X, Z ), coll( skol1( X, Y, Z, T ), X, Y ) }.
% 2.11/2.49 (12152) {G0,W22,D3,L3,V6,M3} { ! cong( Z, X, Z, Y ), ! eqangle( X, Z, Z, T
% 2.11/2.49 , Z, T, Z, Y ), coll( skol2( U, W, Z, T ), Z, T ) }.
% 2.11/2.49 (12153) {G0,W22,D3,L3,V4,M3} { ! cong( Z, X, Z, Y ), ! eqangle( X, Z, Z, T
% 2.11/2.49 , Z, T, Z, Y ), coll( Y, X, skol2( X, Y, Z, T ) ) }.
% 2.11/2.49 (12154) {G0,W22,D3,L3,V6,M3} { ! perp( Z, T, X, Y ), ! eqangle( X, Z, Z, T
% 2.11/2.49 , Z, T, Z, Y ), coll( skol3( U, W, Z, T ), Z, T ) }.
% 2.11/2.49 (12155) {G0,W22,D3,L3,V4,M3} { ! perp( Z, T, X, Y ), ! eqangle( X, Z, Z, T
% 2.11/2.49 , Z, T, Z, Y ), coll( Y, X, skol3( X, Y, Z, T ) ) }.
% 2.11/2.49 (12156) {G0,W18,D3,L3,V6,M3} { ! perp( Z, T, X, Y ), ! cong( Z, X, Z, Y )
% 2.11/2.49 , coll( skol4( U, W, Z, T ), Z, T ) }.
% 2.11/2.49 (12157) {G0,W18,D3,L3,V4,M3} { ! perp( Z, T, X, Y ), ! cong( Z, X, Z, Y )
% 2.11/2.49 , coll( Y, X, skol4( X, Y, Z, T ) ) }.
% 2.11/2.49 (12158) {G0,W22,D3,L3,V6,M3} { ! eqangle( X, Z, Y, Z, X, T, Y, U ), coll(
% 2.11/2.49 X, Y, Z ), cyclic( T, Y, Z, skol5( W, Y, Z, T ) ) }.
% 2.11/2.49 (12159) {G0,W30,D3,L3,V5,M3} { ! eqangle( X, Z, Y, Z, X, T, Y, U ), coll(
% 2.11/2.49 X, Y, Z ), eqangle( X, Z, Y, Z, X, skol5( X, Y, Z, T ), Y, skol5( X, Y, Z
% 2.11/2.49 , T ) ) }.
% 2.11/2.49 (12160) {G0,W18,D3,L3,V10,M3} { ! midp( U, X, Y ), ! midp( W, Z, T ), midp
% 2.11/2.49 ( skol6( X, V0, V1, T, V2, V3 ), X, T ) }.
% 2.11/2.49 (12161) {G0,W19,D3,L3,V8,M3} { ! midp( U, X, Y ), ! midp( W, Z, T ), para
% 2.11/2.49 ( skol6( X, V0, Z, T, V1, W ), W, X, Z ) }.
% 2.11/2.49 (12162) {G0,W19,D3,L3,V6,M3} { ! midp( U, X, Y ), ! midp( W, Z, T ), para
% 2.11/2.49 ( skol6( X, Y, Z, T, U, W ), U, Y, T ) }.
% 2.11/2.49 (12163) {G0,W22,D3,L5,V7,M5} { ! midp( Z, X, Y ), ! midp( W, T, U ), !
% 2.11/2.49 coll( T, X, Y ), ! coll( U, X, Y ), midp( skol7( X, V0 ), X, V0 ) }.
% 2.11/2.49 (12164) {G0,W26,D3,L5,V8,M5} { ! midp( T, X, U ), ! para( X, W, Z, T ), !
% 2.11/2.49 para( X, W, U, Y ), ! coll( W, Y, Z ), coll( skol8( V0, V1, Z, T ), T, Z
% 2.11/2.49 ) }.
% 2.11/2.49 (12165) {G0,W26,D3,L5,V6,M5} { ! midp( T, X, U ), ! para( X, W, Z, T ), !
% 2.11/2.49 para( X, W, U, Y ), ! coll( W, Y, Z ), coll( skol8( X, Y, Z, T ), X, Y )
% 2.11/2.49 }.
% 2.11/2.49 (12166) {G0,W19,D3,L3,V7,M3} { ! cong( T, Z, T, U ), ! perp( X, Y, Y, T )
% 2.11/2.49 , cong( T, Z, T, skol9( W, V0, Z, T ) ) }.
% 2.11/2.49 (12167) {G0,W19,D3,L3,V6,M3} { ! cong( T, Z, T, U ), ! perp( X, Y, Y, T )
% 2.11/2.49 , cong( Y, Z, Y, skol9( W, Y, Z, T ) ) }.
% 2.11/2.49 (12168) {G0,W19,D3,L3,V5,M3} { ! cong( T, Z, T, U ), ! perp( X, Y, Y, T )
% 2.11/2.49 , para( skol9( X, Y, Z, T ), Z, X, Y ) }.
% 2.11/2.49 (12169) {G0,W17,D3,L3,V5,M3} { ! perp( X, T, Y, Z ), ! perp( Y, T, X, Z )
% 2.11/2.49 , coll( skol10( U, Y, Z ), Z, Y ) }.
% 2.11/2.49 (12170) {G0,W18,D3,L3,V4,M3} { ! perp( X, T, Y, Z ), ! perp( Y, T, X, Z )
% 2.11/2.49 , perp( X, skol10( X, Y, Z ), Z, Y ) }.
% 2.11/2.49 (12171) {G0,W14,D2,L3,V4,M3} { ! perp( X, T, Y, Z ), ! perp( Y, T, X, Z )
% 2.11/2.49 , alpha1( X, Y, Z ) }.
% 2.11/2.49 (12172) {G0,W11,D3,L2,V4,M2} { ! alpha1( X, Y, Z ), coll( skol11( X, T, Z
% 2.11/2.49 ), Z, X ) }.
% 2.11/2.49 (12173) {G0,W12,D3,L2,V3,M2} { ! alpha1( X, Y, Z ), perp( Y, skol11( X, Y
% 2.11/2.49 , Z ), Z, X ) }.
% 2.11/2.49 (12174) {G0,W13,D2,L3,V4,M3} { ! coll( T, Z, X ), ! perp( Y, T, Z, X ),
% 2.11/2.49 alpha1( X, Y, Z ) }.
% 2.11/2.49 (12175) {G0,W12,D3,L2,V4,M2} { ! circle( Y, X, Z, T ), perp( skol12( X, Y
% 2.11/2.49 ), X, X, Y ) }.
% 2.11/2.49 (12176) {G0,W28,D3,L5,V8,M5} { ! circle( W, X, Y, Z ), ! cong( W, X, W, T
% 2.11/2.49 ), ! cong( U, X, U, Y ), W = U, alpha2( X, Z, U, skol13( X, V0, Z, V1, U
% 2.11/2.49 ) ) }.
% 2.11/2.49 (12177) {G0,W26,D3,L5,V8,M5} { ! circle( W, X, Y, Z ), ! cong( W, X, W, T
% 2.11/2.49 ), ! cong( U, X, U, Y ), W = U, coll( skol21( V0, Y, T, V1 ), Y, T ) }.
% 2.11/2.49 (12178) {G0,W27,D3,L5,V6,M5} { ! circle( W, X, Y, Z ), ! cong( W, X, W, T
% 2.11/2.49 ), ! cong( U, X, U, Y ), W = U, cong( skol21( X, Y, T, U ), U, U, X )
% 2.11/2.49 }.
% 2.11/2.49 (12179) {G0,W9,D2,L2,V4,M2} { ! alpha2( X, Y, Z, T ), coll( T, X, Y ) }.
% 2.11/2.49 (12180) {G0,W10,D2,L2,V4,M2} { ! alpha2( X, Y, Z, T ), cong( T, Z, Z, X )
% 2.11/2.49 }.
% 2.11/2.49 (12181) {G0,W14,D2,L3,V4,M3} { ! coll( T, X, Y ), ! cong( T, Z, Z, X ),
% 2.11/2.49 alpha2( X, Y, Z, T ) }.
% 2.11/2.49 (12182) {G0,W22,D3,L4,V5,M4} { ! cyclic( X, Y, Z, T ), ! para( X, Y, Z, T
% 2.11/2.49 ), ! midp( U, X, Y ), circle( skol14( X, Y, Z ), X, Y, Z ) }.
% 2.11/2.49 (12183) {G0,W18,D3,L3,V4,M3} { ! perp( X, Z, Z, Y ), ! cyclic( X, Y, Z, T
% 2.11/2.49 ), circle( skol15( X, Y, Z ), X, Y, Z ) }.
% 2.11/2.49 (12184) {G0,W16,D3,L3,V6,M3} { ! perp( X, U, U, T ), ! coll( T, Y, Z ),
% 2.11/2.49 coll( skol16( W, Y, Z ), Y, Z ) }.
% 2.11/2.49 (12185) {G0,W17,D3,L3,V5,M3} { ! perp( X, U, U, T ), ! coll( T, Y, Z ),
% 2.11/2.49 perp( skol16( X, Y, Z ), X, Y, Z ) }.
% 2.11/2.49 (12186) {G0,W20,D3,L4,V5,M4} { ! perp( X, Z, X, Y ), ! perp( Y, X, Y, T )
% 2.11/2.49 , ! midp( U, Z, T ), midp( skol17( X, Y ), X, Y ) }.
% 2.11/2.49 (12187) {G0,W16,D3,L3,V3,M3} { ! cong( Y, X, Y, Z ), ! perp( X, Y, Y, Z )
% 2.11/2.49 , coll( X, Y, skol18( X, Y ) ) }.
% 2.11/2.49 (12188) {G0,W17,D3,L3,V3,M3} { ! cong( Y, X, Y, Z ), ! perp( X, Y, Y, Z )
% 2.11/2.49 , cong( Y, X, Y, skol18( X, Y ) ) }.
% 2.11/2.49 (12189) {G0,W25,D3,L5,V8,M5} { ! para( U, W, X, Y ), ! coll( Z, U, X ), !
% 2.11/2.49 coll( Z, W, Y ), ! coll( T, U, W ), coll( Z, T, skol19( V0, V1, Z, T ) )
% 2.11/2.49 }.
% 2.11/2.49 (12190) {G0,W25,D3,L5,V6,M5} { ! para( U, W, X, Y ), ! coll( Z, U, X ), !
% 2.11/2.49 coll( Z, W, Y ), ! coll( T, U, W ), coll( skol19( X, Y, Z, T ), X, Y )
% 2.11/2.49 }.
% 2.11/2.49 (12191) {G0,W5,D2,L1,V0,M1} { circle( skol22, skol20, skol24, skol25 ) }.
% 2.11/2.49 (12192) {G0,W4,D2,L1,V0,M1} { coll( skol26, skol20, skol24 ) }.
% 2.11/2.49 (12193) {G0,W5,D2,L1,V0,M1} { para( skol24, skol25, skol27, skol26 ) }.
% 2.11/2.49 (12194) {G0,W4,D2,L1,V0,M1} { coll( skol27, skol20, skol25 ) }.
% 2.11/2.49 (12195) {G0,W5,D2,L1,V0,M1} { circle( skol23, skol20, skol26, skol27 ) }.
% 2.11/2.49 (12196) {G0,W4,D2,L1,V0,M1} { ! coll( skol20, skol23, skol22 ) }.
% 2.11/2.49
% 2.11/2.49
% 2.11/2.49 Total Proof:
% 2.11/2.49
% 2.11/2.49 subsumption: (0) {G0,W8,D2,L2,V3,M2} I { ! coll( X, Y, Z ), coll( X, Z, Y )
% 2.11/2.49 }.
% 2.11/2.49 parent0: (12074) {G0,W8,D2,L2,V3,M2} { ! coll( X, Y, Z ), coll( X, Z, Y )
% 2.11/2.49 }.
% 2.11/2.49 substitution0:
% 2.11/2.49 X := X
% 2.11/2.49 Y := Y
% 2.11/2.49 Z := Z
% 2.11/2.49 end
% 2.11/2.49 permutation0:
% 2.11/2.49 0 ==> 0
% 2.11/2.49 1 ==> 1
% 2.11/2.49 end
% 2.11/2.49
% 2.11/2.49 subsumption: (1) {G0,W8,D2,L2,V3,M2} I { ! coll( X, Y, Z ), coll( Y, X, Z )
% 2.11/2.49 }.
% 2.11/2.49 parent0: (12075) {G0,W8,D2,L2,V3,M2} { ! coll( X, Y, Z ), coll( Y, X, Z )
% 2.11/2.49 }.
% 2.11/2.49 substitution0:
% 2.11/2.49 X := X
% 2.11/2.49 Y := Y
% 2.11/2.49 Z := Z
% 2.11/2.49 end
% 2.11/2.49 permutation0:
% 2.11/2.49 0 ==> 0
% 2.11/2.49 1 ==> 1
% 2.11/2.49 end
% 2.11/2.49
% 2.11/2.49 subsumption: (2) {G0,W12,D2,L3,V4,M3} I { ! coll( X, T, Y ), ! coll( X, T,
% 2.11/2.49 Z ), coll( Y, Z, X ) }.
% 2.11/2.49 parent0: (12076) {G0,W12,D2,L3,V4,M3} { ! coll( X, T, Y ), ! coll( X, T, Z
% 2.11/2.49 ), coll( Y, Z, X ) }.
% 2.11/2.49 substitution0:
% 2.11/2.49 X := X
% 2.11/2.49 Y := Y
% 2.11/2.49 Z := Z
% 2.11/2.49 T := T
% 2.11/2.49 end
% 2.11/2.49 permutation0:
% 2.11/2.49 0 ==> 0
% 2.11/2.49 1 ==> 1
% 2.11/2.49 2 ==> 2
% 2.11/2.49 end
% 2.11/2.49
% 2.11/2.49 subsumption: (6) {G0,W10,D2,L2,V4,M2} I { ! perp( X, Y, Z, T ), perp( X, Y
% 2.11/2.49 , T, Z ) }.
% 2.11/2.49 parent0: (12080) {G0,W10,D2,L2,V4,M2} { ! perp( X, Y, Z, T ), perp( X, Y,
% 2.11/2.49 T, Z ) }.
% 2.11/2.49 substitution0:
% 2.11/2.49 X := X
% 2.11/2.49 Y := Y
% 2.11/2.49 Z := Z
% 2.11/2.49 T := T
% 2.11/2.49 end
% 2.11/2.49 permutation0:
% 2.11/2.49 0 ==> 0
% 2.11/2.49 1 ==> 1
% 2.11/2.49 end
% 2.11/2.49
% 2.11/2.49 subsumption: (7) {G0,W10,D2,L2,V4,M2} I { ! perp( X, Y, Z, T ), perp( Z, T
% 2.11/2.49 , X, Y ) }.
% 2.11/2.49 parent0: (12081) {G0,W10,D2,L2,V4,M2} { ! perp( X, Y, Z, T ), perp( Z, T,
% 2.11/2.49 X, Y ) }.
% 2.11/2.49 substitution0:
% 2.11/2.49 X := X
% 2.11/2.49 Y := Y
% 2.11/2.49 Z := Z
% 2.11/2.49 T := T
% 2.11/2.49 end
% 2.11/2.49 permutation0:
% 2.11/2.49 0 ==> 0
% 2.11/2.49 1 ==> 1
% 2.11/2.49 end
% 2.11/2.49
% 2.11/2.49 subsumption: (96) {G0,W14,D2,L3,V4,M3} I { ! perp( X, T, Y, Z ), ! perp( Y
% 2.11/2.49 , T, X, Z ), alpha1( X, Y, Z ) }.
% 2.11/2.49 parent0: (12171) {G0,W14,D2,L3,V4,M3} { ! perp( X, T, Y, Z ), ! perp( Y, T
% 2.11/2.49 , X, Z ), alpha1( X, Y, Z ) }.
% 2.11/2.49 substitution0:
% 2.11/2.49 X := X
% 2.11/2.49 Y := Y
% 2.11/2.49 Z := Z
% 2.11/2.49 T := T
% 2.11/2.49 end
% 2.11/2.49 permutation0:
% 2.11/2.49 0 ==> 0
% 2.11/2.49 1 ==> 1
% 2.11/2.49 2 ==> 2
% 2.11/2.49 end
% 2.11/2.49
% 2.11/2.49 subsumption: (97) {G0,W11,D3,L2,V4,M2} I { ! alpha1( X, Y, Z ), coll(
% 2.11/2.49 skol11( X, T, Z ), Z, X ) }.
% 2.11/2.49 parent0: (12172) {G0,W11,D3,L2,V4,M2} { ! alpha1( X, Y, Z ), coll( skol11
% 2.11/2.49 ( X, T, Z ), Z, X ) }.
% 2.11/2.49 substitution0:
% 2.11/2.49 X := X
% 2.11/2.49 Y := Y
% 2.11/2.49 Z := Z
% 2.11/2.49 T := T
% 2.11/2.49 end
% 2.11/2.49 permutation0:
% 2.11/2.49 0 ==> 0
% 2.11/2.49 1 ==> 1
% 2.11/2.49 end
% 2.11/2.49
% 2.11/2.49 subsumption: (100) {G0,W12,D3,L2,V4,M2} I { ! circle( Y, X, Z, T ), perp(
% 2.11/2.49 skol12( X, Y ), X, X, Y ) }.
% 2.11/2.49 parent0: (12175) {G0,W12,D3,L2,V4,M2} { ! circle( Y, X, Z, T ), perp(
% 2.11/2.49 skol12( X, Y ), X, X, Y ) }.
% 2.11/2.49 substitution0:
% 2.11/2.49 X := X
% 2.11/2.49 Y := Y
% 2.11/2.49 Z := Z
% 2.11/2.49 T := T
% 2.11/2.49 end
% 2.11/2.49 permutation0:
% 2.11/2.49 0 ==> 0
% 2.11/2.49 1 ==> 1
% 2.11/2.49 end
% 2.11/2.49
% 2.11/2.49 subsumption: (116) {G0,W5,D2,L1,V0,M1} I { circle( skol22, skol20, skol24,
% 2.11/2.49 skol25 ) }.
% 2.11/2.49 parent0: (12191) {G0,W5,D2,L1,V0,M1} { circle( skol22, skol20, skol24,
% 2.11/2.49 skol25 ) }.
% 2.11/2.49 substitution0:
% 2.11/2.49 end
% 2.11/2.49 permutation0:
% 2.11/2.49 0 ==> 0
% 2.11/2.49 end
% 2.11/2.49
% 2.11/2.49 subsumption: (120) {G0,W5,D2,L1,V0,M1} I { circle( skol23, skol20, skol26,
% 2.11/2.49 skol27 ) }.
% 2.11/2.49 parent0: (12195) {G0,W5,D2,L1,V0,M1} { circle( skol23, skol20, skol26,
% 2.11/2.49 skol27 ) }.
% 2.11/2.49 substitution0:
% 2.11/2.49 end
% 2.11/2.49 permutation0:
% 2.11/2.49 0 ==> 0
% 2.11/2.49 end
% 2.11/2.49
% 2.11/2.49 subsumption: (121) {G0,W4,D2,L1,V0,M1} I { ! coll( skol20, skol23, skol22 )
% 2.11/2.49 }.
% 2.11/2.49 parent0: (12196) {G0,W4,D2,L1,V0,M1} { ! coll( skol20, skol23, skol22 )
% 2.11/2.49 }.
% 2.11/2.49 substitution0:
% 2.11/2.49 end
% 2.11/2.49 permutation0:
% 2.11/2.49 0 ==> 0
% 2.11/2.49 end
% 2.11/2.49
% 2.11/2.49 resolution: (12469) {G1,W4,D2,L1,V0,M1} { ! coll( skol20, skol22, skol23 )
% 2.11/2.49 }.
% 2.11/2.49 parent0[0]: (121) {G0,W4,D2,L1,V0,M1} I { ! coll( skol20, skol23, skol22 )
% 2.11/2.49 }.
% 2.11/2.49 parent1[1]: (0) {G0,W8,D2,L2,V3,M2} I { ! coll( X, Y, Z ), coll( X, Z, Y )
% 2.11/2.49 }.
% 2.11/2.49 substitution0:
% 2.11/2.49 end
% 2.11/2.49 substitution1:
% 2.11/2.49 X := skol20
% 2.11/2.49 Y := skol22
% 2.11/2.49 Z := skol23
% 2.11/2.49 end
% 2.11/2.49
% 2.11/2.49 subsumption: (161) {G1,W4,D2,L1,V0,M1} R(0,121) { ! coll( skol20, skol22,
% 2.11/2.49 skol23 ) }.
% 2.11/2.49 parent0: (12469) {G1,W4,D2,L1,V0,M1} { ! coll( skol20, skol22, skol23 )
% 2.11/2.49 }.
% 2.11/2.49 substitution0:
% 2.11/2.49 end
% 2.11/2.49 permutation0:
% 2.11/2.49 0 ==> 0
% 2.11/2.49 end
% 2.11/2.49
% 2.11/2.49 resolution: (12470) {G1,W12,D2,L3,V4,M3} { ! coll( X, Y, T ), coll( Z, T,
% 2.11/2.49 X ), ! coll( X, Z, Y ) }.
% 2.11/2.49 parent0[0]: (2) {G0,W12,D2,L3,V4,M3} I { ! coll( X, T, Y ), ! coll( X, T, Z
% 2.11/2.49 ), coll( Y, Z, X ) }.
% 2.11/2.49 parent1[1]: (0) {G0,W8,D2,L2,V3,M2} I { ! coll( X, Y, Z ), coll( X, Z, Y )
% 2.11/2.49 }.
% 2.11/2.49 substitution0:
% 2.11/2.49 X := X
% 2.11/2.49 Y := Z
% 2.11/2.49 Z := T
% 2.11/2.49 T := Y
% 2.11/2.49 end
% 2.11/2.49 substitution1:
% 2.11/2.49 X := X
% 2.11/2.49 Y := Z
% 2.11/2.49 Z := Y
% 2.11/2.49 end
% 2.11/2.49
% 2.11/2.49 subsumption: (185) {G1,W12,D2,L3,V4,M3} R(2,0) { ! coll( X, Y, Z ), coll( T
% 2.11/2.49 , Z, X ), ! coll( X, T, Y ) }.
% 2.11/2.49 parent0: (12470) {G1,W12,D2,L3,V4,M3} { ! coll( X, Y, T ), coll( Z, T, X )
% 2.11/2.49 , ! coll( X, Z, Y ) }.
% 2.11/2.49 substitution0:
% 2.11/2.49 X := X
% 2.11/2.49 Y := Y
% 2.11/2.49 Z := T
% 2.11/2.49 T := Z
% 2.11/2.49 end
% 2.11/2.49 permutation0:
% 2.11/2.49 0 ==> 0
% 2.11/2.49 1 ==> 1
% 2.11/2.49 2 ==> 2
% 2.11/2.49 end
% 2.11/2.49
% 2.11/2.49 resolution: (12476) {G1,W12,D2,L3,V4,M3} { coll( X, Z, Y ), ! coll( Z, T,
% 2.11/2.49 X ), ! coll( Z, T, Y ) }.
% 2.11/2.49 parent0[0]: (0) {G0,W8,D2,L2,V3,M2} I { ! coll( X, Y, Z ), coll( X, Z, Y )
% 2.11/2.49 }.
% 2.11/2.49 parent1[2]: (2) {G0,W12,D2,L3,V4,M3} I { ! coll( X, T, Y ), ! coll( X, T, Z
% 2.11/2.49 ), coll( Y, Z, X ) }.
% 2.11/2.49 substitution0:
% 2.11/2.49 X := X
% 2.11/2.49 Y := Y
% 2.11/2.49 Z := Z
% 2.11/2.49 end
% 2.11/2.49 substitution1:
% 2.11/2.49 X := Z
% 2.11/2.49 Y := X
% 2.11/2.49 Z := Y
% 2.11/2.49 T := T
% 2.11/2.49 end
% 2.11/2.49
% 2.11/2.49 subsumption: (187) {G1,W12,D2,L3,V4,M3} R(2,0) { ! coll( X, Y, Z ), ! coll
% 2.11/2.49 ( X, Y, T ), coll( Z, X, T ) }.
% 2.11/2.49 parent0: (12476) {G1,W12,D2,L3,V4,M3} { coll( X, Z, Y ), ! coll( Z, T, X )
% 2.11/2.49 , ! coll( Z, T, Y ) }.
% 2.11/2.49 substitution0:
% 2.11/2.49 X := Z
% 2.11/2.49 Y := T
% 2.11/2.49 Z := X
% 2.11/2.49 T := Y
% 2.11/2.49 end
% 2.11/2.49 permutation0:
% 2.11/2.49 0 ==> 2
% 2.11/2.49 1 ==> 0
% 2.11/2.49 2 ==> 1
% 2.11/2.49 end
% 2.11/2.49
% 2.11/2.49 factor: (12478) {G1,W8,D2,L2,V3,M2} { ! coll( X, Y, Z ), coll( Z, X, Z )
% 2.11/2.49 }.
% 2.11/2.49 parent0[0, 1]: (187) {G1,W12,D2,L3,V4,M3} R(2,0) { ! coll( X, Y, Z ), !
% 2.11/2.49 coll( X, Y, T ), coll( Z, X, T ) }.
% 2.11/2.49 substitution0:
% 2.11/2.49 X := X
% 2.11/2.49 Y := Y
% 2.11/2.49 Z := Z
% 2.11/2.49 T := Z
% 2.11/2.49 end
% 2.11/2.49
% 2.11/2.49 subsumption: (193) {G2,W8,D2,L2,V3,M2} F(187) { ! coll( X, Y, Z ), coll( Z
% 2.11/2.49 , X, Z ) }.
% 2.11/2.49 parent0: (12478) {G1,W8,D2,L2,V3,M2} { ! coll( X, Y, Z ), coll( Z, X, Z )
% 2.11/2.49 }.
% 2.11/2.49 substitution0:
% 2.11/2.49 X := X
% 2.11/2.49 Y := Y
% 2.11/2.49 Z := Z
% 2.11/2.49 end
% 2.11/2.49 permutation0:
% 2.11/2.49 0 ==> 0
% 2.11/2.49 1 ==> 1
% 2.11/2.49 end
% 2.11/2.49
% 2.11/2.49 resolution: (12479) {G1,W12,D2,L3,V4,M3} { coll( Z, X, Z ), ! coll( Z, T,
% 2.11/2.49 X ), ! coll( Z, T, Y ) }.
% 2.11/2.49 parent0[0]: (193) {G2,W8,D2,L2,V3,M2} F(187) { ! coll( X, Y, Z ), coll( Z,
% 2.11/2.49 X, Z ) }.
% 2.11/2.49 parent1[2]: (2) {G0,W12,D2,L3,V4,M3} I { ! coll( X, T, Y ), ! coll( X, T, Z
% 2.11/2.49 ), coll( Y, Z, X ) }.
% 2.11/2.49 substitution0:
% 2.11/2.49 X := X
% 2.11/2.49 Y := Y
% 2.11/2.49 Z := Z
% 2.11/2.49 end
% 2.11/2.49 substitution1:
% 2.11/2.49 X := Z
% 2.11/2.49 Y := X
% 2.11/2.49 Z := Y
% 2.11/2.49 T := T
% 2.11/2.49 end
% 2.11/2.49
% 2.11/2.49 subsumption: (254) {G3,W12,D2,L3,V4,M3} R(193,2) { coll( X, Y, X ), ! coll
% 2.11/2.49 ( X, Z, Y ), ! coll( X, Z, T ) }.
% 2.11/2.49 parent0: (12479) {G1,W12,D2,L3,V4,M3} { coll( Z, X, Z ), ! coll( Z, T, X )
% 2.11/2.49 , ! coll( Z, T, Y ) }.
% 2.11/2.49 substitution0:
% 2.11/2.49 X := Y
% 2.11/2.49 Y := Y
% 2.11/2.49 Z := X
% 2.11/2.49 T := Z
% 2.11/2.49 end
% 2.11/2.49 permutation0:
% 2.11/2.49 0 ==> 0
% 2.11/2.49 1 ==> 1
% 2.11/2.49 2 ==> 1
% 2.11/2.49 end
% 2.11/2.49
% 2.11/2.49 resolution: (12481) {G1,W8,D2,L2,V3,M2} { coll( Z, X, Z ), ! coll( Y, X, Z
% 2.11/2.49 ) }.
% 2.11/2.49 parent0[0]: (193) {G2,W8,D2,L2,V3,M2} F(187) { ! coll( X, Y, Z ), coll( Z,
% 2.11/2.49 X, Z ) }.
% 2.11/2.49 parent1[1]: (1) {G0,W8,D2,L2,V3,M2} I { ! coll( X, Y, Z ), coll( Y, X, Z )
% 2.11/2.49 }.
% 2.11/2.49 substitution0:
% 2.11/2.49 X := X
% 2.11/2.49 Y := Y
% 2.11/2.49 Z := Z
% 2.11/2.49 end
% 2.11/2.49 substitution1:
% 2.11/2.49 X := Y
% 2.11/2.49 Y := X
% 2.11/2.49 Z := Z
% 2.11/2.49 end
% 2.11/2.49
% 2.11/2.49 subsumption: (257) {G3,W8,D2,L2,V3,M2} R(193,1) { coll( X, Y, X ), ! coll(
% 2.11/2.49 Z, Y, X ) }.
% 2.11/2.49 parent0: (12481) {G1,W8,D2,L2,V3,M2} { coll( Z, X, Z ), ! coll( Y, X, Z )
% 2.11/2.49 }.
% 2.11/2.49 substitution0:
% 2.11/2.49 X := Y
% 2.11/2.49 Y := Z
% 2.11/2.49 Z := X
% 2.11/2.49 end
% 2.11/2.49 permutation0:
% 2.11/2.49 0 ==> 0
% 2.11/2.49 1 ==> 1
% 2.11/2.49 end
% 2.11/2.49
% 2.11/2.49 factor: (12482) {G3,W8,D2,L2,V3,M2} { coll( X, Y, X ), ! coll( X, Z, Y )
% 2.11/2.49 }.
% 2.11/2.49 parent0[1, 2]: (254) {G3,W12,D2,L3,V4,M3} R(193,2) { coll( X, Y, X ), !
% 2.11/2.49 coll( X, Z, Y ), ! coll( X, Z, T ) }.
% 2.11/2.49 substitution0:
% 2.11/2.49 X := X
% 2.11/2.49 Y := Y
% 2.11/2.49 Z := Z
% 2.11/2.49 T := Y
% 2.11/2.49 end
% 2.11/2.49
% 2.11/2.49 subsumption: (264) {G4,W8,D2,L2,V3,M2} F(254) { coll( X, Y, X ), ! coll( X
% 2.11/2.49 , Z, Y ) }.
% 2.11/2.49 parent0: (12482) {G3,W8,D2,L2,V3,M2} { coll( X, Y, X ), ! coll( X, Z, Y )
% 2.11/2.49 }.
% 2.11/2.49 substitution0:
% 2.11/2.49 X := X
% 2.11/2.49 Y := Y
% 2.11/2.49 Z := Z
% 2.11/2.49 end
% 2.11/2.49 permutation0:
% 2.11/2.49 0 ==> 0
% 2.11/2.49 1 ==> 1
% 2.11/2.49 end
% 2.11/2.49
% 2.11/2.49 resolution: (12484) {G1,W8,D2,L2,V3,M2} { coll( Y, X, X ), ! coll( X, Z, Y
% 2.11/2.49 ) }.
% 2.11/2.49 parent0[0]: (1) {G0,W8,D2,L2,V3,M2} I { ! coll( X, Y, Z ), coll( Y, X, Z )
% 2.11/2.49 }.
% 2.11/2.49 parent1[0]: (264) {G4,W8,D2,L2,V3,M2} F(254) { coll( X, Y, X ), ! coll( X,
% 2.11/2.49 Z, Y ) }.
% 2.11/2.49 substitution0:
% 2.11/2.49 X := X
% 2.11/2.49 Y := Y
% 2.11/2.49 Z := X
% 2.11/2.49 end
% 2.11/2.49 substitution1:
% 2.11/2.49 X := X
% 2.11/2.49 Y := Y
% 2.11/2.49 Z := Z
% 2.11/2.49 end
% 2.11/2.49
% 2.11/2.49 subsumption: (401) {G5,W8,D2,L2,V3,M2} R(264,1) { ! coll( X, Y, Z ), coll(
% 2.11/2.49 Z, X, X ) }.
% 2.11/2.49 parent0: (12484) {G1,W8,D2,L2,V3,M2} { coll( Y, X, X ), ! coll( X, Z, Y )
% 2.11/2.49 }.
% 2.11/2.49 substitution0:
% 2.11/2.49 X := X
% 2.11/2.49 Y := Z
% 2.11/2.49 Z := Y
% 2.11/2.49 end
% 2.11/2.49 permutation0:
% 2.11/2.49 0 ==> 1
% 2.11/2.49 1 ==> 0
% 2.11/2.49 end
% 2.11/2.49
% 2.11/2.49 resolution: (12485) {G1,W8,D2,L2,V3,M2} { coll( Z, X, X ), ! coll( Y, X, Z
% 2.11/2.49 ) }.
% 2.11/2.49 parent0[0]: (401) {G5,W8,D2,L2,V3,M2} R(264,1) { ! coll( X, Y, Z ), coll( Z
% 2.11/2.49 , X, X ) }.
% 2.11/2.49 parent1[1]: (1) {G0,W8,D2,L2,V3,M2} I { ! coll( X, Y, Z ), coll( Y, X, Z )
% 2.11/2.49 }.
% 2.11/2.49 substitution0:
% 2.11/2.49 X := X
% 2.11/2.49 Y := Y
% 2.11/2.49 Z := Z
% 2.11/2.49 end
% 2.11/2.49 substitution1:
% 2.11/2.49 X := Y
% 2.11/2.49 Y := X
% 2.11/2.49 Z := Z
% 2.11/2.49 end
% 2.11/2.49
% 2.11/2.49 subsumption: (406) {G6,W8,D2,L2,V3,M2} R(401,1) { coll( X, Y, Y ), ! coll(
% 2.11/2.49 Z, Y, X ) }.
% 2.11/2.49 parent0: (12485) {G1,W8,D2,L2,V3,M2} { coll( Z, X, X ), ! coll( Y, X, Z )
% 2.11/2.49 }.
% 2.11/2.49 substitution0:
% 2.11/2.49 X := Y
% 2.11/2.49 Y := Z
% 2.11/2.49 Z := X
% 2.11/2.49 end
% 2.11/2.49 permutation0:
% 2.11/2.49 0 ==> 0
% 2.11/2.49 1 ==> 1
% 2.11/2.49 end
% 2.11/2.49
% 2.11/2.49 resolution: (12486) {G1,W8,D2,L2,V3,M2} { coll( Z, X, X ), ! coll( X, Z, Y
% 2.11/2.49 ) }.
% 2.11/2.49 parent0[0]: (401) {G5,W8,D2,L2,V3,M2} R(264,1) { ! coll( X, Y, Z ), coll( Z
% 2.11/2.49 , X, X ) }.
% 2.11/2.49 parent1[1]: (0) {G0,W8,D2,L2,V3,M2} I { ! coll( X, Y, Z ), coll( X, Z, Y )
% 2.11/2.49 }.
% 2.11/2.49 substitution0:
% 2.11/2.49 X := X
% 2.11/2.49 Y := Y
% 2.11/2.49 Z := Z
% 2.11/2.49 end
% 2.11/2.49 substitution1:
% 2.11/2.49 X := X
% 2.11/2.49 Y := Z
% 2.11/2.49 Z := Y
% 2.11/2.49 end
% 2.11/2.49
% 2.11/2.49 subsumption: (407) {G6,W8,D2,L2,V3,M2} R(401,0) { coll( X, Y, Y ), ! coll(
% 2.11/2.49 Y, X, Z ) }.
% 2.11/2.49 parent0: (12486) {G1,W8,D2,L2,V3,M2} { coll( Z, X, X ), ! coll( X, Z, Y )
% 2.11/2.49 }.
% 2.11/2.49 substitution0:
% 2.11/2.49 X := Y
% 2.11/2.49 Y := Z
% 2.11/2.49 Z := X
% 2.11/2.49 end
% 2.11/2.49 permutation0:
% 2.11/2.49 0 ==> 0
% 2.11/2.49 1 ==> 1
% 2.11/2.49 end
% 2.11/2.49
% 2.11/2.49 resolution: (12488) {G6,W8,D2,L2,V3,M2} { coll( Y, X, X ), ! coll( Z, Y, X
% 2.11/2.49 ) }.
% 2.11/2.49 parent0[0]: (401) {G5,W8,D2,L2,V3,M2} R(264,1) { ! coll( X, Y, Z ), coll( Z
% 2.11/2.49 , X, X ) }.
% 2.11/2.49 parent1[0]: (406) {G6,W8,D2,L2,V3,M2} R(401,1) { coll( X, Y, Y ), ! coll( Z
% 2.11/2.49 , Y, X ) }.
% 2.11/2.49 substitution0:
% 2.11/2.49 X := X
% 2.11/2.49 Y := Y
% 2.11/2.49 Z := Y
% 2.11/2.49 end
% 2.11/2.49 substitution1:
% 2.11/2.49 X := X
% 2.11/2.49 Y := Y
% 2.11/2.49 Z := Z
% 2.11/2.49 end
% 2.11/2.49
% 2.11/2.49 subsumption: (408) {G7,W8,D2,L2,V3,M2} R(406,401) { ! coll( X, Y, Z ), coll
% 2.11/2.49 ( Y, Z, Z ) }.
% 2.11/2.49 parent0: (12488) {G6,W8,D2,L2,V3,M2} { coll( Y, X, X ), ! coll( Z, Y, X )
% 2.11/2.49 }.
% 2.11/2.49 substitution0:
% 2.11/2.49 X := Z
% 2.11/2.49 Y := Y
% 2.11/2.49 Z := X
% 2.11/2.49 end
% 2.11/2.49 permutation0:
% 2.11/2.49 0 ==> 1
% 2.11/2.49 1 ==> 0
% 2.11/2.49 end
% 2.11/2.49
% 2.11/2.49 resolution: (12489) {G7,W8,D2,L2,V3,M2} { coll( X, Y, Y ), ! coll( X, Y, Z
% 2.11/2.49 ) }.
% 2.11/2.49 parent0[1]: (407) {G6,W8,D2,L2,V3,M2} R(401,0) { coll( X, Y, Y ), ! coll( Y
% 2.11/2.49 , X, Z ) }.
% 2.11/2.49 parent1[0]: (407) {G6,W8,D2,L2,V3,M2} R(401,0) { coll( X, Y, Y ), ! coll( Y
% 2.11/2.49 , X, Z ) }.
% 2.11/2.49 substitution0:
% 2.11/2.49 X := X
% 2.11/2.49 Y := Y
% 2.11/2.49 Z := X
% 2.11/2.49 end
% 2.11/2.49 substitution1:
% 2.11/2.49 X := Y
% 2.11/2.49 Y := X
% 2.11/2.49 Z := Z
% 2.11/2.49 end
% 2.11/2.49
% 2.11/2.49 subsumption: (413) {G7,W8,D2,L2,V3,M2} R(407,407) { ! coll( X, Y, Z ), coll
% 2.11/2.49 ( X, Y, Y ) }.
% 2.11/2.49 parent0: (12489) {G7,W8,D2,L2,V3,M2} { coll( X, Y, Y ), ! coll( X, Y, Z )
% 2.11/2.49 }.
% 2.11/2.49 substitution0:
% 2.11/2.49 X := X
% 2.11/2.49 Y := Y
% 2.11/2.49 Z := Z
% 2.11/2.49 end
% 2.11/2.49 permutation0:
% 2.11/2.49 0 ==> 1
% 2.11/2.49 1 ==> 0
% 2.11/2.49 end
% 2.11/2.49
% 2.11/2.49 resolution: (12493) {G1,W12,D2,L3,V4,M3} { ! coll( X, Y, Z ), coll( Z, Y,
% 2.11/2.49 X ), ! coll( X, Y, T ) }.
% 2.11/2.49 parent0[1]: (2) {G0,W12,D2,L3,V4,M3} I { ! coll( X, T, Y ), ! coll( X, T, Z
% 2.11/2.49 ), coll( Y, Z, X ) }.
% 2.11/2.49 parent1[1]: (413) {G7,W8,D2,L2,V3,M2} R(407,407) { ! coll( X, Y, Z ), coll
% 2.11/2.49 ( X, Y, Y ) }.
% 2.11/2.49 substitution0:
% 2.11/2.49 X := X
% 2.11/2.49 Y := Z
% 2.11/2.49 Z := Y
% 2.11/2.49 T := Y
% 2.11/2.49 end
% 2.11/2.49 substitution1:
% 2.11/2.49 X := X
% 2.11/2.49 Y := Y
% 2.11/2.49 Z := T
% 2.11/2.49 end
% 2.11/2.49
% 2.11/2.49 subsumption: (416) {G8,W12,D2,L3,V4,M3} R(413,2) { ! coll( X, Y, Z ), !
% 2.11/2.49 coll( X, Y, T ), coll( T, Y, X ) }.
% 2.11/2.49 parent0: (12493) {G1,W12,D2,L3,V4,M3} { ! coll( X, Y, Z ), coll( Z, Y, X )
% 2.11/2.49 , ! coll( X, Y, T ) }.
% 2.11/2.49 substitution0:
% 2.11/2.49 X := X
% 2.11/2.49 Y := Y
% 2.11/2.49 Z := T
% 2.11/2.49 T := Z
% 2.11/2.49 end
% 2.11/2.49 permutation0:
% 2.11/2.49 0 ==> 1
% 2.11/2.49 1 ==> 2
% 2.11/2.49 2 ==> 0
% 2.11/2.49 end
% 2.11/2.49
% 2.11/2.49 factor: (12496) {G8,W8,D2,L2,V3,M2} { ! coll( X, Y, Z ), coll( Z, Y, X )
% 2.11/2.49 }.
% 2.11/2.49 parent0[0, 1]: (416) {G8,W12,D2,L3,V4,M3} R(413,2) { ! coll( X, Y, Z ), !
% 2.11/2.49 coll( X, Y, T ), coll( T, Y, X ) }.
% 2.11/2.49 substitution0:
% 2.11/2.49 X := X
% 2.11/2.49 Y := Y
% 2.11/2.49 Z := Z
% 2.11/2.49 T := Z
% 2.11/2.49 end
% 2.11/2.49
% 2.11/2.49 subsumption: (417) {G9,W8,D2,L2,V3,M2} F(416) { ! coll( X, Y, Z ), coll( Z
% 2.11/2.49 , Y, X ) }.
% 2.11/2.49 parent0: (12496) {G8,W8,D2,L2,V3,M2} { ! coll( X, Y, Z ), coll( Z, Y, X )
% 2.11/2.49 }.
% 2.11/2.49 substitution0:
% 2.11/2.49 X := X
% 2.11/2.49 Y := Y
% 2.11/2.49 Z := Z
% 2.11/2.49 end
% 2.11/2.49 permutation0:
% 2.11/2.49 0 ==> 0
% 2.11/2.49 1 ==> 1
% 2.11/2.49 end
% 2.11/2.49
% 2.11/2.49 resolution: (12497) {G8,W8,D2,L2,V3,M2} { coll( Y, Y, X ), ! coll( X, Y, Z
% 2.11/2.49 ) }.
% 2.11/2.49 parent0[0]: (417) {G9,W8,D2,L2,V3,M2} F(416) { ! coll( X, Y, Z ), coll( Z,
% 2.11/2.49 Y, X ) }.
% 2.11/2.49 parent1[1]: (413) {G7,W8,D2,L2,V3,M2} R(407,407) { ! coll( X, Y, Z ), coll
% 2.11/2.49 ( X, Y, Y ) }.
% 2.11/2.49 substitution0:
% 2.11/2.49 X := X
% 2.11/2.49 Y := Y
% 2.11/2.49 Z := Y
% 2.11/2.49 end
% 2.11/2.49 substitution1:
% 2.11/2.49 X := X
% 2.11/2.49 Y := Y
% 2.11/2.49 Z := Z
% 2.11/2.49 end
% 2.11/2.49
% 2.11/2.49 subsumption: (418) {G10,W8,D2,L2,V3,M2} R(417,413) { coll( X, X, Y ), !
% 2.11/2.49 coll( Y, X, Z ) }.
% 2.11/2.49 parent0: (12497) {G8,W8,D2,L2,V3,M2} { coll( Y, Y, X ), ! coll( X, Y, Z )
% 2.11/2.49 }.
% 2.11/2.49 substitution0:
% 2.11/2.49 X := Y
% 2.11/2.49 Y := X
% 2.11/2.49 Z := Z
% 2.11/2.49 end
% 2.11/2.49 permutation0:
% 2.11/2.49 0 ==> 0
% 2.11/2.49 1 ==> 1
% 2.11/2.49 end
% 2.11/2.49
% 2.11/2.49 resolution: (12498) {G8,W8,D2,L2,V3,M2} { coll( Y, Y, X ), ! coll( Z, X, Y
% 2.11/2.49 ) }.
% 2.11/2.49 parent0[0]: (417) {G9,W8,D2,L2,V3,M2} F(416) { ! coll( X, Y, Z ), coll( Z,
% 2.11/2.49 Y, X ) }.
% 2.11/2.49 parent1[1]: (408) {G7,W8,D2,L2,V3,M2} R(406,401) { ! coll( X, Y, Z ), coll
% 2.11/2.49 ( Y, Z, Z ) }.
% 2.11/2.49 substitution0:
% 2.11/2.49 X := X
% 2.11/2.49 Y := Y
% 2.11/2.49 Z := Y
% 2.11/2.49 end
% 2.11/2.49 substitution1:
% 2.11/2.49 X := Z
% 2.11/2.49 Y := X
% 2.11/2.49 Z := Y
% 2.11/2.49 end
% 2.11/2.49
% 2.11/2.49 subsumption: (420) {G10,W8,D2,L2,V3,M2} R(417,408) { coll( X, X, Y ), !
% 2.11/2.49 coll( Z, Y, X ) }.
% 2.11/2.49 parent0: (12498) {G8,W8,D2,L2,V3,M2} { coll( Y, Y, X ), ! coll( Z, X, Y )
% 2.11/2.49 }.
% 2.11/2.49 substitution0:
% 2.11/2.49 X := Y
% 2.11/2.49 Y := X
% 2.11/2.49 Z := Z
% 2.11/2.49 end
% 2.11/2.49 permutation0:
% 2.11/2.49 0 ==> 0
% 2.11/2.49 1 ==> 1
% 2.11/2.49 end
% 2.11/2.49
% 2.11/2.49 resolution: (12499) {G7,W8,D2,L2,V3,M2} { coll( Y, Y, X ), ! coll( Z, Y, X
% 2.11/2.49 ) }.
% 2.11/2.49 parent0[0]: (417) {G9,W8,D2,L2,V3,M2} F(416) { ! coll( X, Y, Z ), coll( Z,
% 2.11/2.49 Y, X ) }.
% 2.11/2.49 parent1[0]: (406) {G6,W8,D2,L2,V3,M2} R(401,1) { coll( X, Y, Y ), ! coll( Z
% 2.11/2.49 , Y, X ) }.
% 2.11/2.49 substitution0:
% 2.11/2.49 X := X
% 2.11/2.49 Y := Y
% 2.11/2.49 Z := Y
% 2.11/2.49 end
% 2.11/2.49 substitution1:
% 2.11/2.49 X := X
% 2.11/2.49 Y := Y
% 2.11/2.49 Z := Z
% 2.11/2.49 end
% 2.11/2.49
% 2.11/2.49 subsumption: (421) {G10,W8,D2,L2,V3,M2} R(417,406) { coll( X, X, Y ), !
% 2.11/2.49 coll( Z, X, Y ) }.
% 2.11/2.49 parent0: (12499) {G7,W8,D2,L2,V3,M2} { coll( Y, Y, X ), ! coll( Z, Y, X )
% 2.11/2.49 }.
% 2.11/2.49 substitution0:
% 2.11/2.49 X := Y
% 2.11/2.49 Y := X
% 2.11/2.49 Z := Z
% 2.11/2.49 end
% 2.11/2.49 permutation0:
% 2.11/2.49 0 ==> 0
% 2.11/2.49 1 ==> 1
% 2.11/2.49 end
% 2.11/2.49
% 2.11/2.49 resolution: (12500) {G1,W8,D2,L2,V3,M2} { coll( X, Y, X ), ! alpha1( X, T
% 2.11/2.49 , Y ) }.
% 2.11/2.49 parent0[1]: (257) {G3,W8,D2,L2,V3,M2} R(193,1) { coll( X, Y, X ), ! coll( Z
% 2.11/2.49 , Y, X ) }.
% 2.11/2.49 parent1[1]: (97) {G0,W11,D3,L2,V4,M2} I { ! alpha1( X, Y, Z ), coll( skol11
% 2.11/2.49 ( X, T, Z ), Z, X ) }.
% 2.11/2.49 substitution0:
% 2.11/2.49 X := X
% 2.11/2.49 Y := Y
% 2.11/2.49 Z := skol11( X, Z, Y )
% 2.11/2.49 end
% 2.11/2.49 substitution1:
% 2.11/2.49 X := X
% 2.11/2.49 Y := T
% 2.11/2.49 Z := Y
% 2.11/2.49 T := Z
% 2.11/2.49 end
% 2.11/2.49
% 2.11/2.49 subsumption: (4043) {G4,W8,D2,L2,V3,M2} R(97,257) { ! alpha1( X, Y, Z ),
% 2.11/2.49 coll( X, Z, X ) }.
% 2.11/2.49 parent0: (12500) {G1,W8,D2,L2,V3,M2} { coll( X, Y, X ), ! alpha1( X, T, Y
% 2.11/2.49 ) }.
% 2.11/2.49 substitution0:
% 2.11/2.49 X := X
% 2.11/2.49 Y := Z
% 2.11/2.49 Z := T
% 2.11/2.49 T := Y
% 2.11/2.49 end
% 2.11/2.49 permutation0:
% 2.11/2.49 0 ==> 1
% 2.11/2.49 1 ==> 0
% 2.11/2.49 end
% 2.11/2.49
% 2.11/2.49 resolution: (12501) {G1,W8,D2,L2,V3,M2} { coll( X, X, Y ), ! alpha1( Y, T
% 2.11/2.49 , X ) }.
% 2.11/2.49 parent0[1]: (421) {G10,W8,D2,L2,V3,M2} R(417,406) { coll( X, X, Y ), ! coll
% 2.11/2.49 ( Z, X, Y ) }.
% 2.11/2.49 parent1[1]: (97) {G0,W11,D3,L2,V4,M2} I { ! alpha1( X, Y, Z ), coll( skol11
% 2.11/2.49 ( X, T, Z ), Z, X ) }.
% 2.11/2.49 substitution0:
% 2.11/2.49 X := X
% 2.11/2.49 Y := Y
% 2.11/2.49 Z := skol11( Y, Z, X )
% 2.11/2.49 end
% 2.11/2.49 substitution1:
% 2.11/2.49 X := Y
% 2.11/2.49 Y := T
% 2.11/2.49 Z := X
% 2.11/2.49 T := Z
% 2.11/2.49 end
% 2.11/2.49
% 2.11/2.49 subsumption: (4047) {G11,W8,D2,L2,V3,M2} R(97,421) { ! alpha1( X, Y, Z ),
% 2.11/2.49 coll( Z, Z, X ) }.
% 2.11/2.49 parent0: (12501) {G1,W8,D2,L2,V3,M2} { coll( X, X, Y ), ! alpha1( Y, T, X
% 2.11/2.49 ) }.
% 2.11/2.49 substitution0:
% 2.11/2.49 X := Z
% 2.11/2.49 Y := X
% 2.11/2.49 Z := T
% 2.11/2.49 T := Y
% 2.11/2.49 end
% 2.11/2.49 permutation0:
% 2.11/2.49 0 ==> 1
% 2.11/2.49 1 ==> 0
% 2.11/2.49 end
% 2.11/2.49
% 2.11/2.49 resolution: (12502) {G1,W8,D2,L2,V3,M2} { coll( X, X, Y ), ! alpha1( X, T
% 2.11/2.49 , Y ) }.
% 2.11/2.49 parent0[1]: (420) {G10,W8,D2,L2,V3,M2} R(417,408) { coll( X, X, Y ), ! coll
% 2.11/2.49 ( Z, Y, X ) }.
% 2.11/2.49 parent1[1]: (97) {G0,W11,D3,L2,V4,M2} I { ! alpha1( X, Y, Z ), coll( skol11
% 2.11/2.49 ( X, T, Z ), Z, X ) }.
% 2.11/2.49 substitution0:
% 2.11/2.49 X := X
% 2.11/2.49 Y := Y
% 2.11/2.49 Z := skol11( X, Z, Y )
% 2.11/2.49 end
% 2.11/2.49 substitution1:
% 2.11/2.49 X := X
% 2.11/2.49 Y := T
% 2.11/2.49 Z := Y
% 2.11/2.49 T := Z
% 2.11/2.49 end
% 2.11/2.49
% 2.11/2.49 subsumption: (4048) {G11,W8,D2,L2,V3,M2} R(97,420) { ! alpha1( X, Y, Z ),
% 2.11/2.49 coll( X, X, Z ) }.
% 2.11/2.49 parent0: (12502) {G1,W8,D2,L2,V3,M2} { coll( X, X, Y ), ! alpha1( X, T, Y
% 2.11/2.49 ) }.
% 2.11/2.49 substitution0:
% 2.11/2.49 X := X
% 2.11/2.49 Y := Z
% 2.11/2.49 Z := T
% 2.11/2.49 T := Y
% 2.11/2.49 end
% 2.11/2.49 permutation0:
% 2.11/2.49 0 ==> 1
% 2.11/2.49 1 ==> 0
% 2.11/2.49 end
% 2.11/2.49
% 2.11/2.49 resolution: (12503) {G1,W7,D3,L1,V0,M1} { perp( skol12( skol20, skol22 ),
% 2.11/2.49 skol20, skol20, skol22 ) }.
% 2.11/2.49 parent0[0]: (100) {G0,W12,D3,L2,V4,M2} I { ! circle( Y, X, Z, T ), perp(
% 2.11/2.49 skol12( X, Y ), X, X, Y ) }.
% 2.11/2.49 parent1[0]: (116) {G0,W5,D2,L1,V0,M1} I { circle( skol22, skol20, skol24,
% 2.11/2.49 skol25 ) }.
% 2.11/2.49 substitution0:
% 2.11/2.49 X := skol20
% 2.11/2.49 Y := skol22
% 2.11/2.49 Z := skol24
% 2.11/2.49 T := skol25
% 2.11/2.49 end
% 2.11/2.49 substitution1:
% 2.11/2.49 end
% 2.11/2.49
% 2.11/2.49 subsumption: (4460) {G1,W7,D3,L1,V0,M1} R(100,116) { perp( skol12( skol20,
% 2.11/2.49 skol22 ), skol20, skol20, skol22 ) }.
% 2.11/2.49 parent0: (12503) {G1,W7,D3,L1,V0,M1} { perp( skol12( skol20, skol22 ),
% 2.11/2.49 skol20, skol20, skol22 ) }.
% 2.11/2.49 substitution0:
% 2.11/2.49 end
% 2.11/2.49 permutation0:
% 2.11/2.49 0 ==> 0
% 2.11/2.49 end
% 2.11/2.49
% 2.11/2.49 resolution: (12504) {G1,W7,D3,L1,V0,M1} { perp( skol12( skol20, skol23 ),
% 2.11/2.49 skol20, skol20, skol23 ) }.
% 2.11/2.49 parent0[0]: (100) {G0,W12,D3,L2,V4,M2} I { ! circle( Y, X, Z, T ), perp(
% 2.11/2.49 skol12( X, Y ), X, X, Y ) }.
% 2.11/2.49 parent1[0]: (120) {G0,W5,D2,L1,V0,M1} I { circle( skol23, skol20, skol26,
% 2.11/2.49 skol27 ) }.
% 2.11/2.49 substitution0:
% 2.11/2.49 X := skol20
% 2.11/2.49 Y := skol23
% 2.11/2.49 Z := skol26
% 2.11/2.49 T := skol27
% 2.11/2.49 end
% 2.11/2.49 substitution1:
% 2.11/2.49 end
% 2.11/2.49
% 2.11/2.49 subsumption: (4461) {G1,W7,D3,L1,V0,M1} R(100,120) { perp( skol12( skol20,
% 2.11/2.49 skol23 ), skol20, skol20, skol23 ) }.
% 2.11/2.49 parent0: (12504) {G1,W7,D3,L1,V0,M1} { perp( skol12( skol20, skol23 ),
% 2.11/2.49 skol20, skol20, skol23 ) }.
% 2.11/2.49 substitution0:
% 2.11/2.49 end
% 2.11/2.49 permutation0:
% 2.11/2.49 0 ==> 0
% 2.11/2.49 end
% 2.11/2.49
% 2.11/2.49 resolution: (12505) {G1,W7,D3,L1,V0,M1} { perp( skol20, skol22, skol12(
% 2.11/2.49 skol20, skol22 ), skol20 ) }.
% 2.11/2.49 parent0[0]: (7) {G0,W10,D2,L2,V4,M2} I { ! perp( X, Y, Z, T ), perp( Z, T,
% 2.11/2.49 X, Y ) }.
% 2.11/2.49 parent1[0]: (4460) {G1,W7,D3,L1,V0,M1} R(100,116) { perp( skol12( skol20,
% 2.11/2.49 skol22 ), skol20, skol20, skol22 ) }.
% 2.11/2.49 substitution0:
% 2.11/2.49 X := skol12( skol20, skol22 )
% 2.11/2.49 Y := skol20
% 2.11/2.49 Z := skol20
% 2.11/2.49 T := skol22
% 2.11/2.49 end
% 2.11/2.49 substitution1:
% 2.11/2.49 end
% 2.11/2.49
% 2.11/2.49 subsumption: (4474) {G2,W7,D3,L1,V0,M1} R(4460,7) { perp( skol20, skol22,
% 2.11/2.49 skol12( skol20, skol22 ), skol20 ) }.
% 2.11/2.49 parent0: (12505) {G1,W7,D3,L1,V0,M1} { perp( skol20, skol22, skol12(
% 2.11/2.49 skol20, skol22 ), skol20 ) }.
% 2.11/2.49 substitution0:
% 2.11/2.49 end
% 2.11/2.49 permutation0:
% 2.11/2.49 0 ==> 0
% 2.11/2.49 end
% 2.11/2.49
% 2.11/2.49 resolution: (12506) {G1,W7,D3,L1,V0,M1} { perp( skol20, skol22, skol20,
% 2.11/2.49 skol12( skol20, skol22 ) ) }.
% 2.11/2.49 parent0[0]: (6) {G0,W10,D2,L2,V4,M2} I { ! perp( X, Y, Z, T ), perp( X, Y,
% 2.11/2.49 T, Z ) }.
% 2.11/2.49 parent1[0]: (4474) {G2,W7,D3,L1,V0,M1} R(4460,7) { perp( skol20, skol22,
% 2.11/2.49 skol12( skol20, skol22 ), skol20 ) }.
% 2.11/2.49 substitution0:
% 2.11/2.49 X := skol20
% 2.11/2.49 Y := skol22
% 2.11/2.49 Z := skol12( skol20, skol22 )
% 2.11/2.49 T := skol20
% 2.11/2.49 end
% 2.11/2.49 substitution1:
% 2.11/2.49 end
% 2.11/2.49
% 2.11/2.49 subsumption: (4485) {G3,W7,D3,L1,V0,M1} R(4474,6) { perp( skol20, skol22,
% 2.11/2.49 skol20, skol12( skol20, skol22 ) ) }.
% 2.11/2.49 parent0: (12506) {G1,W7,D3,L1,V0,M1} { perp( skol20, skol22, skol20,
% 2.11/2.49 skol12( skol20, skol22 ) ) }.
% 2.11/2.49 substitution0:
% 2.11/2.49 end
% 2.11/2.49 permutation0:
% 2.11/2.49 0 ==> 0
% 2.11/2.49 end
% 2.11/2.49
% 2.11/2.49 resolution: (12507) {G1,W7,D3,L1,V0,M1} { perp( skol20, skol12( skol20,
% 2.11/2.49 skol22 ), skol20, skol22 ) }.
% 2.11/2.49 parent0[0]: (7) {G0,W10,D2,L2,V4,M2} I { ! perp( X, Y, Z, T ), perp( Z, T,
% 2.11/2.49 X, Y ) }.
% 2.11/2.49 parent1[0]: (4485) {G3,W7,D3,L1,V0,M1} R(4474,6) { perp( skol20, skol22,
% 2.11/2.49 skol20, skol12( skol20, skol22 ) ) }.
% 2.11/2.49 substitution0:
% 2.11/2.49 X := skol20
% 2.11/2.49 Y := skol22
% 2.11/2.49 Z := skol20
% 2.11/2.49 T := skol12( skol20, skol22 )
% 2.11/2.49 end
% 2.11/2.49 substitution1:
% 2.11/2.49 end
% 2.11/2.49
% 2.11/2.49 subsumption: (4495) {G4,W7,D3,L1,V0,M1} R(4485,7) { perp( skol20, skol12(
% 2.11/2.49 skol20, skol22 ), skol20, skol22 ) }.
% 2.11/2.49 parent0: (12507) {G1,W7,D3,L1,V0,M1} { perp( skol20, skol12( skol20,
% 2.11/2.49 skol22 ), skol20, skol22 ) }.
% 2.11/2.49 substitution0:
% 2.11/2.49 end
% 2.11/2.49 permutation0:
% 2.11/2.49 0 ==> 0
% 2.11/2.49 end
% 2.11/2.49
% 2.11/2.49 resolution: (12508) {G1,W11,D3,L2,V0,M2} { ! perp( skol20, skol12( skol20
% 2.11/2.49 , skol22 ), skol20, skol22 ), alpha1( skol20, skol20, skol22 ) }.
% 2.11/2.49 parent0[0]: (96) {G0,W14,D2,L3,V4,M3} I { ! perp( X, T, Y, Z ), ! perp( Y,
% 2.11/2.49 T, X, Z ), alpha1( X, Y, Z ) }.
% 2.11/2.49 parent1[0]: (4495) {G4,W7,D3,L1,V0,M1} R(4485,7) { perp( skol20, skol12(
% 2.11/2.49 skol20, skol22 ), skol20, skol22 ) }.
% 2.11/2.49 substitution0:
% 2.11/2.49 X := skol20
% 2.11/2.49 Y := skol20
% 2.11/2.49 Z := skol22
% 2.11/2.49 T := skol12( skol20, skol22 )
% 2.11/2.49 end
% 2.11/2.49 substitution1:
% 2.11/2.49 end
% 2.11/2.49
% 2.11/2.49 resolution: (12509) {G2,W4,D2,L1,V0,M1} { alpha1( skol20, skol20, skol22 )
% 2.11/2.49 }.
% 2.11/2.49 parent0[0]: (12508) {G1,W11,D3,L2,V0,M2} { ! perp( skol20, skol12( skol20
% 2.11/2.49 , skol22 ), skol20, skol22 ), alpha1( skol20, skol20, skol22 ) }.
% 2.11/2.49 parent1[0]: (4495) {G4,W7,D3,L1,V0,M1} R(4485,7) { perp( skol20, skol12(
% 2.11/2.49 skol20, skol22 ), skol20, skol22 ) }.
% 2.11/2.49 substitution0:
% 2.11/2.49 end
% 2.11/2.49 substitution1:
% 2.11/2.49 end
% 2.11/2.49
% 2.11/2.49 subsumption: (4633) {G5,W4,D2,L1,V0,M1} R(4495,96);r(4495) { alpha1( skol20
% 2.11/2.49 , skol20, skol22 ) }.
% 2.11/2.49 parent0: (12509) {G2,W4,D2,L1,V0,M1} { alpha1( skol20, skol20, skol22 )
% 2.11/2.49 }.
% 2.11/2.49 substitution0:
% 2.11/2.49 end
% 2.11/2.49 permutation0:
% 2.11/2.49 0 ==> 0
% 2.11/2.49 end
% 2.11/2.49
% 2.11/2.49 resolution: (12510) {G5,W4,D2,L1,V0,M1} { coll( skol20, skol22, skol20 )
% 2.11/2.49 }.
% 2.11/2.49 parent0[0]: (4043) {G4,W8,D2,L2,V3,M2} R(97,257) { ! alpha1( X, Y, Z ),
% 2.11/2.49 coll( X, Z, X ) }.
% 2.11/2.49 parent1[0]: (4633) {G5,W4,D2,L1,V0,M1} R(4495,96);r(4495) { alpha1( skol20
% 2.11/2.49 , skol20, skol22 ) }.
% 2.11/2.49 substitution0:
% 2.11/2.49 X := skol20
% 2.11/2.49 Y := skol20
% 2.11/2.49 Z := skol22
% 2.11/2.49 end
% 2.11/2.49 substitution1:
% 2.11/2.49 end
% 2.11/2.49
% 2.11/2.49 subsumption: (4786) {G6,W4,D2,L1,V0,M1} R(4633,4043) { coll( skol20, skol22
% 2.11/2.49 , skol20 ) }.
% 2.11/2.49 parent0: (12510) {G5,W4,D2,L1,V0,M1} { coll( skol20, skol22, skol20 ) }.
% 2.11/2.49 substitution0:
% 2.11/2.49 end
% 2.11/2.49 permutation0:
% 2.11/2.49 0 ==> 0
% 2.11/2.49 end
% 2.11/2.49
% 2.11/2.49 resolution: (12511) {G1,W7,D3,L1,V0,M1} { perp( skol20, skol23, skol12(
% 2.11/2.49 skol20, skol23 ), skol20 ) }.
% 2.11/2.49 parent0[0]: (7) {G0,W10,D2,L2,V4,M2} I { ! perp( X, Y, Z, T ), perp( Z, T,
% 2.11/2.49 X, Y ) }.
% 2.11/2.49 parent1[0]: (4461) {G1,W7,D3,L1,V0,M1} R(100,120) { perp( skol12( skol20,
% 2.11/2.49 skol23 ), skol20, skol20, skol23 ) }.
% 2.11/2.49 substitution0:
% 2.11/2.49 X := skol12( skol20, skol23 )
% 2.11/2.49 Y := skol20
% 2.11/2.49 Z := skol20
% 2.11/2.49 T := skol23
% 2.11/2.49 end
% 2.11/2.49 substitution1:
% 2.11/2.49 end
% 2.11/2.49
% 2.11/2.49 subsumption: (6600) {G2,W7,D3,L1,V0,M1} R(4461,7) { perp( skol20, skol23,
% 2.11/2.49 skol12( skol20, skol23 ), skol20 ) }.
% 2.11/2.49 parent0: (12511) {G1,W7,D3,L1,V0,M1} { perp( skol20, skol23, skol12(
% 2.11/2.49 skol20, skol23 ), skol20 ) }.
% 2.11/2.49 substitution0:
% 2.11/2.49 end
% 2.11/2.49 permutation0:
% 2.11/2.49 0 ==> 0
% 2.11/2.49 end
% 2.11/2.49
% 2.11/2.49 resolution: (12512) {G1,W7,D3,L1,V0,M1} { perp( skol20, skol23, skol20,
% 2.11/2.49 skol12( skol20, skol23 ) ) }.
% 2.11/2.49 parent0[0]: (6) {G0,W10,D2,L2,V4,M2} I { ! perp( X, Y, Z, T ), perp( X, Y,
% 2.11/2.49 T, Z ) }.
% 2.11/2.49 parent1[0]: (6600) {G2,W7,D3,L1,V0,M1} R(4461,7) { perp( skol20, skol23,
% 2.11/2.49 skol12( skol20, skol23 ), skol20 ) }.
% 2.11/2.49 substitution0:
% 2.11/2.49 X := skol20
% 2.11/2.49 Y := skol23
% 2.11/2.49 Z := skol12( skol20, skol23 )
% 2.11/2.49 T := skol20
% 2.11/2.49 end
% 2.11/2.49 substitution1:
% 2.11/2.49 end
% 2.11/2.49
% 2.11/2.49 subsumption: (6611) {G3,W7,D3,L1,V0,M1} R(6600,6) { perp( skol20, skol23,
% 2.11/2.49 skol20, skol12( skol20, skol23 ) ) }.
% 2.11/2.49 parent0: (12512) {G1,W7,D3,L1,V0,M1} { perp( skol20, skol23, skol20,
% 2.11/2.49 skol12( skol20, skol23 ) ) }.
% 2.11/2.49 substitution0:
% 2.11/2.49 end
% 2.11/2.49 permutation0:
% 2.11/2.49 0 ==> 0
% 2.11/2.49 end
% 2.11/2.49
% 2.11/2.49 resolution: (12513) {G1,W7,D3,L1,V0,M1} { perp( skol20, skol12( skol20,
% 2.11/2.49 skol23 ), skol20, skol23 ) }.
% 2.11/2.49 parent0[0]: (7) {G0,W10,D2,L2,V4,M2} I { ! perp( X, Y, Z, T ), perp( Z, T,
% 2.11/2.49 X, Y ) }.
% 2.11/2.49 parent1[0]: (6611) {G3,W7,D3,L1,V0,M1} R(6600,6) { perp( skol20, skol23,
% 2.11/2.49 skol20, skol12( skol20, skol23 ) ) }.
% 2.11/2.49 substitution0:
% 2.11/2.49 X := skol20
% 2.11/2.49 Y := skol23
% 2.11/2.49 Z := skol20
% 2.11/2.49 T := skol12( skol20, skol23 )
% 2.11/2.49 end
% 2.11/2.49 substitution1:
% 2.11/2.49 end
% 2.11/2.49
% 2.11/2.49 subsumption: (6625) {G4,W7,D3,L1,V0,M1} R(6611,7) { perp( skol20, skol12(
% 2.11/2.49 skol20, skol23 ), skol20, skol23 ) }.
% 2.11/2.49 parent0: (12513) {G1,W7,D3,L1,V0,M1} { perp( skol20, skol12( skol20,
% 2.11/2.49 skol23 ), skol20, skol23 ) }.
% 2.11/2.49 substitution0:
% 2.11/2.49 end
% 2.11/2.49 permutation0:
% 2.11/2.49 0 ==> 0
% 2.11/2.49 end
% 2.11/2.49
% 2.11/2.49 resolution: (12514) {G1,W11,D3,L2,V0,M2} { ! perp( skol20, skol12( skol20
% 2.11/2.49 , skol23 ), skol20, skol23 ), alpha1( skol20, skol20, skol23 ) }.
% 2.11/2.49 parent0[0]: (96) {G0,W14,D2,L3,V4,M3} I { ! perp( X, T, Y, Z ), ! perp( Y,
% 2.11/2.49 T, X, Z ), alpha1( X, Y, Z ) }.
% 2.11/2.49 parent1[0]: (6625) {G4,W7,D3,L1,V0,M1} R(6611,7) { perp( skol20, skol12(
% 2.11/2.49 skol20, skol23 ), skol20, skol23 ) }.
% 2.11/2.49 substitution0:
% 2.11/2.49 X := skol20
% 2.11/2.49 Y := skol20
% 2.11/2.49 Z := skol23
% 2.11/2.49 T := skol12( skol20, skol23 )
% 2.11/2.49 end
% 2.11/2.49 substitution1:
% 2.11/2.49 end
% 2.11/2.49
% 2.11/2.49 resolution: (12515) {G2,W4,D2,L1,V0,M1} { alpha1( skol20, skol20, skol23 )
% 2.11/2.49 }.
% 2.11/2.49 parent0[0]: (12514) {G1,W11,D3,L2,V0,M2} { ! perp( skol20, skol12( skol20
% 2.11/2.49 , skol23 ), skol20, skol23 ), alpha1( skol20, skol20, skol23 ) }.
% 2.11/2.49 parent1[0]: (6625) {G4,W7,D3,L1,V0,M1} R(6611,7) { perp( skol20, skol12(
% 2.11/2.49 skol20, skol23 ), skol20, skol23 ) }.
% 2.11/2.49 substitution0:
% 2.11/2.49 end
% 2.11/2.49 substitution1:
% 2.11/2.49 end
% 2.11/2.49
% 2.11/2.49 subsumption: (6663) {G5,W4,D2,L1,V0,M1} R(6625,96);r(6625) { alpha1( skol20
% 2.11/2.49 , skol20, skol23 ) }.
% 2.11/2.50 parent0: (12515) {G2,W4,D2,L1,V0,M1} { alpha1( skol20, skol20, skol23 )
% 2.11/2.50 }.
% 2.11/2.50 substitution0:
% 2.11/2.50 end
% 2.11/2.50 permutation0:
% 2.11/2.50 0 ==> 0
% 2.11/2.50 end
% 2.11/2.50
% 2.11/2.50 resolution: (12516) {G6,W4,D2,L1,V0,M1} { coll( skol20, skol20, skol23 )
% 2.11/2.50 }.
% 2.11/2.50 parent0[0]: (4048) {G11,W8,D2,L2,V3,M2} R(97,420) { ! alpha1( X, Y, Z ),
% 2.11/2.50 coll( X, X, Z ) }.
% 2.11/2.50 parent1[0]: (6663) {G5,W4,D2,L1,V0,M1} R(6625,96);r(6625) { alpha1( skol20
% 2.11/2.50 , skol20, skol23 ) }.
% 2.11/2.50 substitution0:
% 2.11/2.50 X := skol20
% 2.11/2.50 Y := skol20
% 2.11/2.50 Z := skol23
% 2.11/2.50 end
% 2.11/2.50 substitution1:
% 2.11/2.50 end
% 2.11/2.50
% 2.11/2.50 subsumption: (6676) {G12,W4,D2,L1,V0,M1} R(6663,4048) { coll( skol20,
% 2.11/2.50 skol20, skol23 ) }.
% 2.11/2.50 parent0: (12516) {G6,W4,D2,L1,V0,M1} { coll( skol20, skol20, skol23 ) }.
% 2.11/2.50 substitution0:
% 2.11/2.50 end
% 2.11/2.50 permutation0:
% 2.11/2.50 0 ==> 0
% 2.11/2.50 end
% 2.11/2.50
% 2.11/2.50 resolution: (12517) {G6,W4,D2,L1,V0,M1} { coll( skol23, skol23, skol20 )
% 2.11/2.50 }.
% 2.11/2.50 parent0[0]: (4047) {G11,W8,D2,L2,V3,M2} R(97,421) { ! alpha1( X, Y, Z ),
% 2.11/2.50 coll( Z, Z, X ) }.
% 2.11/2.50 parent1[0]: (6663) {G5,W4,D2,L1,V0,M1} R(6625,96);r(6625) { alpha1( skol20
% 2.11/2.50 , skol20, skol23 ) }.
% 2.11/2.50 substitution0:
% 2.11/2.50 X := skol20
% 2.11/2.50 Y := skol20
% 2.11/2.50 Z := skol23
% 2.11/2.50 end
% 2.11/2.50 substitution1:
% 2.11/2.50 end
% 2.11/2.50
% 2.11/2.50 subsumption: (6677) {G12,W4,D2,L1,V0,M1} R(6663,4047) { coll( skol23,
% 2.11/2.50 skol23, skol20 ) }.
% 2.11/2.50 parent0: (12517) {G6,W4,D2,L1,V0,M1} { coll( skol23, skol23, skol20 ) }.
% 2.11/2.50 substitution0:
% 2.11/2.50 end
% 2.11/2.50 permutation0:
% 2.11/2.50 0 ==> 0
% 2.11/2.50 end
% 2.11/2.50
% 2.11/2.50 resolution: (12518) {G1,W8,D2,L2,V1,M2} { ! coll( skol23, skol23, X ),
% 2.11/2.50 coll( skol20, X, skol23 ) }.
% 2.11/2.50 parent0[0]: (2) {G0,W12,D2,L3,V4,M3} I { ! coll( X, T, Y ), ! coll( X, T, Z
% 2.11/2.50 ), coll( Y, Z, X ) }.
% 2.11/2.50 parent1[0]: (6677) {G12,W4,D2,L1,V0,M1} R(6663,4047) { coll( skol23, skol23
% 2.11/2.50 , skol20 ) }.
% 2.11/2.50 substitution0:
% 2.11/2.50 X := skol23
% 2.11/2.50 Y := skol20
% 2.11/2.50 Z := X
% 2.11/2.50 T := skol23
% 2.11/2.50 end
% 2.11/2.50 substitution1:
% 2.11/2.50 end
% 2.11/2.50
% 2.11/2.50 subsumption: (6731) {G13,W8,D2,L2,V1,M2} R(6677,2) { ! coll( skol23, skol23
% 2.11/2.50 , X ), coll( skol20, X, skol23 ) }.
% 2.11/2.50 parent0: (12518) {G1,W8,D2,L2,V1,M2} { ! coll( skol23, skol23, X ), coll(
% 2.11/2.50 skol20, X, skol23 ) }.
% 2.11/2.50 substitution0:
% 2.11/2.50 X := X
% 2.11/2.50 end
% 2.11/2.50 permutation0:
% 2.11/2.50 0 ==> 0
% 2.11/2.50 1 ==> 1
% 2.11/2.50 end
% 2.11/2.50
% 2.11/2.50 resolution: (12520) {G2,W4,D2,L1,V0,M1} { ! coll( skol23, skol23, skol22 )
% 2.11/2.50 }.
% 2.11/2.50 parent0[0]: (161) {G1,W4,D2,L1,V0,M1} R(0,121) { ! coll( skol20, skol22,
% 2.11/2.50 skol23 ) }.
% 2.11/2.50 parent1[1]: (6731) {G13,W8,D2,L2,V1,M2} R(6677,2) { ! coll( skol23, skol23
% 2.11/2.50 , X ), coll( skol20, X, skol23 ) }.
% 2.11/2.50 substitution0:
% 2.11/2.50 end
% 2.11/2.50 substitution1:
% 2.11/2.50 X := skol22
% 2.11/2.50 end
% 2.11/2.50
% 2.11/2.50 subsumption: (7858) {G14,W4,D2,L1,V0,M1} R(6731,161) { ! coll( skol23,
% 2.11/2.50 skol23, skol22 ) }.
% 2.11/2.50 parent0: (12520) {G2,W4,D2,L1,V0,M1} { ! coll( skol23, skol23, skol22 )
% 2.11/2.50 }.
% 2.11/2.50 substitution0:
% 2.11/2.50 end
% 2.11/2.50 permutation0:
% 2.11/2.50 0 ==> 0
% 2.11/2.50 end
% 2.11/2.50
% 2.11/2.50 resolution: (12521) {G11,W4,D2,L1,V1,M1} { ! coll( skol22, skol23, X ) }.
% 2.11/2.50 parent0[0]: (7858) {G14,W4,D2,L1,V0,M1} R(6731,161) { ! coll( skol23,
% 2.11/2.50 skol23, skol22 ) }.
% 2.11/2.50 parent1[0]: (418) {G10,W8,D2,L2,V3,M2} R(417,413) { coll( X, X, Y ), ! coll
% 2.11/2.50 ( Y, X, Z ) }.
% 2.11/2.50 substitution0:
% 2.11/2.50 end
% 2.11/2.50 substitution1:
% 2.11/2.50 X := skol23
% 2.11/2.50 Y := skol22
% 2.11/2.50 Z := X
% 2.11/2.50 end
% 2.11/2.50
% 2.11/2.50 subsumption: (7881) {G15,W4,D2,L1,V1,M1} R(7858,418) { ! coll( skol22,
% 2.11/2.50 skol23, X ) }.
% 2.11/2.50 parent0: (12521) {G11,W4,D2,L1,V1,M1} { ! coll( skol22, skol23, X ) }.
% 2.11/2.50 substitution0:
% 2.11/2.50 X := X
% 2.11/2.50 end
% 2.11/2.50 permutation0:
% 2.11/2.50 0 ==> 0
% 2.11/2.50 end
% 2.11/2.50
% 2.11/2.50 resolution: (12522) {G2,W8,D2,L2,V2,M2} { ! coll( X, Y, skol23 ), ! coll(
% 2.11/2.50 X, skol22, Y ) }.
% 2.11/2.50 parent0[0]: (7881) {G15,W4,D2,L1,V1,M1} R(7858,418) { ! coll( skol22,
% 2.11/2.50 skol23, X ) }.
% 2.11/2.50 parent1[1]: (185) {G1,W12,D2,L3,V4,M3} R(2,0) { ! coll( X, Y, Z ), coll( T
% 2.11/2.50 , Z, X ), ! coll( X, T, Y ) }.
% 2.11/2.50 substitution0:
% 2.11/2.50 X := X
% 2.11/2.50 end
% 2.11/2.50 substitution1:
% 2.11/2.50 X := X
% 2.11/2.50 Y := Y
% 2.11/2.50 Z := skol23
% 2.11/2.50 T := skol22
% 2.11/2.50 end
% 2.11/2.50
% 2.11/2.50 subsumption: (9308) {G16,W8,D2,L2,V2,M2} R(185,7881) { ! coll( X, Y, skol23
% 2.11/2.50 ), ! coll( X, skol22, Y ) }.
% 2.11/2.50 parent0: (12522) {G2,W8,D2,L2,V2,M2} { ! coll( X, Y, skol23 ), ! coll( X,
% 2.11/2.50 skol22, Y ) }.
% 2.11/2.50 substitution0:
% 2.11/2.50 X := X
% 2.11/2.50 Y := Y
% 2.11/2.50 end
% 2.11/2.50 permutation0:
% 2.11/2.50 0 ==> 0
% 2.11/2.50 1 ==> 1
% 2.11/2.50 end
% 2.11/2.50
% 2.11/2.50 resolution: (12523) {G13,W4,D2,L1,V0,M1} { ! coll( skol20, skol22, skol20
% 2.11/2.50 ) }.
% 2.11/2.50 parent0[0]: (9308) {G16,W8,D2,L2,V2,M2} R(185,7881) { ! coll( X, Y, skol23
% 2.11/2.50 ), ! coll( X, skol22, Y ) }.
% 2.11/2.50 parent1[0]: (6676) {G12,W4,D2,L1,V0,M1} R(6663,4048) { coll( skol20, skol20
% 2.11/2.50 , skol23 ) }.
% 2.11/2.50 substitution0:
% 2.11/2.50 X := skol20
% 2.11/2.50 Y := skol20
% 2.11/2.50 end
% 2.11/2.50 substitution1:
% 2.11/2.50 end
% 2.11/2.50
% 2.11/2.50 resolution: (12524) {G7,W0,D0,L0,V0,M0} { }.
% 2.11/2.50 parent0[0]: (12523) {G13,W4,D2,L1,V0,M1} { ! coll( skol20, skol22, skol20
% 2.11/2.50 ) }.
% 2.11/2.50 parent1[0]: (4786) {G6,W4,D2,L1,V0,M1} R(4633,4043) { coll( skol20, skol22
% 2.11/2.50 , skol20 ) }.
% 2.11/2.50 substitution0:
% 2.11/2.50 end
% 2.11/2.50 substitution1:
% 2.11/2.50 end
% 2.11/2.50
% 2.11/2.50 subsumption: (12072) {G17,W0,D0,L0,V0,M0} R(9308,6676);r(4786) { }.
% 2.11/2.50 parent0: (12524) {G7,W0,D0,L0,V0,M0} { }.
% 2.11/2.50 substitution0:
% 2.11/2.50 end
% 2.11/2.50 permutation0:
% 2.11/2.50 end
% 2.11/2.50
% 2.11/2.50 Proof check complete!
% 2.11/2.50
% 2.11/2.50 Memory use:
% 2.11/2.50
% 2.11/2.50 space for terms: 215146
% 2.11/2.50 space for clauses: 559359
% 2.11/2.50
% 2.11/2.50
% 2.11/2.50 clauses generated: 98229
% 2.11/2.50 clauses kept: 12073
% 2.11/2.50 clauses selected: 1031
% 2.11/2.50 clauses deleted: 382
% 2.11/2.50 clauses inuse deleted: 304
% 2.11/2.50
% 2.11/2.50 subsentry: 1978373
% 2.11/2.50 literals s-matched: 1419543
% 2.11/2.50 literals matched: 777893
% 2.11/2.50 full subsumption: 231698
% 2.11/2.50
% 2.11/2.50 checksum: 1729321545
% 2.11/2.50
% 2.11/2.50
% 2.11/2.50 Bliksem ended
%------------------------------------------------------------------------------