TSTP Solution File: GEO604+1 by Bliksem---1.12
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- Process Solution
%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : GEO604+1 : TPTP v8.1.0. Released v7.5.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n028.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 5.00s 5.49s
% Output : Refutation 5.00s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : GEO604+1 : TPTP v8.1.0. Released v7.5.0.
% 0.06/0.13 % Command : bliksem %s
% 0.12/0.33 % Computer : n028.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % DateTime : Sat Jun 18 01:51:22 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.72/1.12 *** allocated 10000 integers for termspace/termends
% 0.72/1.12 *** allocated 10000 integers for clauses
% 0.72/1.12 *** allocated 10000 integers for justifications
% 0.72/1.12 Bliksem 1.12
% 0.72/1.12
% 0.72/1.12
% 0.72/1.12 Automatic Strategy Selection
% 0.72/1.12
% 0.72/1.12 *** allocated 15000 integers for termspace/termends
% 0.72/1.12
% 0.72/1.12 Clauses:
% 0.72/1.12
% 0.72/1.12 { ! coll( X, Y, Z ), coll( X, Z, Y ) }.
% 0.72/1.12 { ! coll( X, Y, Z ), coll( Y, X, Z ) }.
% 0.72/1.12 { ! coll( X, T, Y ), ! coll( X, T, Z ), coll( Y, Z, X ) }.
% 0.72/1.12 { ! para( X, Y, Z, T ), para( X, Y, T, Z ) }.
% 0.72/1.12 { ! para( X, Y, Z, T ), para( Z, T, X, Y ) }.
% 0.72/1.12 { ! para( X, Y, U, W ), ! para( U, W, Z, T ), para( X, Y, Z, T ) }.
% 0.72/1.12 { ! perp( X, Y, Z, T ), perp( X, Y, T, Z ) }.
% 0.72/1.12 { ! perp( X, Y, Z, T ), perp( Z, T, X, Y ) }.
% 0.72/1.12 { ! perp( X, Y, U, W ), ! perp( U, W, Z, T ), para( X, Y, Z, T ) }.
% 0.72/1.12 { ! para( X, Y, U, W ), ! perp( U, W, Z, T ), perp( X, Y, Z, T ) }.
% 0.72/1.12 { ! midp( Z, Y, X ), midp( Z, X, Y ) }.
% 0.72/1.12 { ! cong( T, X, T, Y ), ! cong( T, X, T, Z ), circle( T, X, Y, Z ) }.
% 0.72/1.12 { ! cong( U, X, U, Y ), ! cong( U, X, U, Z ), ! cong( U, X, U, T ), cyclic
% 0.72/1.12 ( X, Y, Z, T ) }.
% 0.72/1.12 { ! cyclic( X, Y, Z, T ), cyclic( X, Y, T, Z ) }.
% 0.72/1.12 { ! cyclic( X, Y, Z, T ), cyclic( X, Z, Y, T ) }.
% 0.72/1.12 { ! cyclic( X, Y, Z, T ), cyclic( Y, X, Z, T ) }.
% 0.72/1.12 { ! cyclic( U, X, Y, Z ), ! cyclic( U, X, Y, T ), cyclic( X, Y, Z, T ) }.
% 0.72/1.12 { ! eqangle( X, Y, Z, T, U, W, V0, V1 ), eqangle( Y, X, Z, T, U, W, V0, V1
% 0.72/1.12 ) }.
% 0.72/1.12 { ! eqangle( X, Y, Z, T, U, W, V0, V1 ), eqangle( Z, T, X, Y, V0, V1, U, W
% 0.72/1.12 ) }.
% 0.72/1.12 { ! eqangle( X, Y, Z, T, U, W, V0, V1 ), eqangle( U, W, V0, V1, X, Y, Z, T
% 0.72/1.12 ) }.
% 0.72/1.12 { ! eqangle( X, Y, Z, T, U, W, V0, V1 ), eqangle( X, Y, U, W, Z, T, V0, V1
% 0.72/1.12 ) }.
% 0.72/1.12 { ! eqangle( X, Y, Z, T, V2, V3, V4, V5 ), ! eqangle( V2, V3, V4, V5, U, W
% 0.72/1.12 , V0, V1 ), eqangle( X, Y, Z, T, U, W, V0, V1 ) }.
% 0.72/1.12 { ! cong( X, Y, Z, T ), cong( X, Y, T, Z ) }.
% 0.72/1.12 { ! cong( X, Y, Z, T ), cong( Z, T, X, Y ) }.
% 0.72/1.12 { ! cong( X, Y, U, W ), ! cong( U, W, Z, T ), cong( X, Y, Z, T ) }.
% 0.72/1.12 { ! eqratio( X, Y, Z, T, U, W, V0, V1 ), eqratio( Y, X, Z, T, U, W, V0, V1
% 0.72/1.12 ) }.
% 0.72/1.12 { ! eqratio( X, Y, Z, T, U, W, V0, V1 ), eqratio( Z, T, X, Y, V0, V1, U, W
% 0.72/1.12 ) }.
% 0.72/1.12 { ! eqratio( X, Y, Z, T, U, W, V0, V1 ), eqratio( U, W, V0, V1, X, Y, Z, T
% 0.72/1.12 ) }.
% 0.72/1.12 { ! eqratio( X, Y, Z, T, U, W, V0, V1 ), eqratio( X, Y, U, W, Z, T, V0, V1
% 0.72/1.12 ) }.
% 0.72/1.12 { ! eqratio( X, Y, Z, T, V2, V3, V4, V5 ), ! eqratio( V2, V3, V4, V5, U, W
% 0.72/1.12 , V0, V1 ), eqratio( X, Y, Z, T, U, W, V0, V1 ) }.
% 0.72/1.12 { ! simtri( X, Z, Y, T, W, U ), simtri( X, Y, Z, T, U, W ) }.
% 0.72/1.12 { ! simtri( Y, X, Z, U, T, W ), simtri( X, Y, Z, T, U, W ) }.
% 0.72/1.12 { ! simtri( T, U, W, X, Y, Z ), simtri( X, Y, Z, T, U, W ) }.
% 0.72/1.12 { ! simtri( X, Y, Z, V0, V1, V2 ), ! simtri( V0, V1, V2, T, U, W ), simtri
% 0.72/1.12 ( X, Y, Z, T, U, W ) }.
% 0.72/1.12 { ! contri( X, Z, Y, T, W, U ), contri( X, Y, Z, T, U, W ) }.
% 0.72/1.12 { ! contri( Y, X, Z, U, T, W ), contri( X, Y, Z, T, U, W ) }.
% 0.72/1.12 { ! contri( T, U, W, X, Y, Z ), contri( X, Y, Z, T, U, W ) }.
% 0.72/1.12 { ! contri( X, Y, Z, V0, V1, V2 ), ! contri( V0, V1, V2, T, U, W ), contri
% 0.72/1.12 ( X, Y, Z, T, U, W ) }.
% 0.72/1.12 { ! eqangle( X, Y, U, W, Z, T, U, W ), para( X, Y, Z, T ) }.
% 0.72/1.12 { ! para( X, Y, Z, T ), eqangle( X, Y, U, W, Z, T, U, W ) }.
% 0.72/1.12 { ! cyclic( X, Y, Z, T ), eqangle( Z, X, Z, Y, T, X, T, Y ) }.
% 0.72/1.12 { ! eqangle( Z, X, Z, Y, T, X, T, Y ), coll( Z, T, X ), cyclic( X, Y, Z, T
% 0.72/1.12 ) }.
% 0.72/1.12 { ! eqangle( Z, X, Z, Y, T, X, T, Y ), ! coll( Z, T, Y ), cyclic( X, Y, Z,
% 0.72/1.12 T ) }.
% 0.72/1.12 { ! cyclic( X, Y, U, Z ), ! cyclic( X, Y, U, T ), ! cyclic( X, Y, U, W ), !
% 0.72/1.12 eqangle( U, X, U, Y, W, Z, W, T ), cong( X, Y, Z, T ) }.
% 0.72/1.12 { ! midp( Z, U, X ), ! midp( T, U, Y ), para( Z, T, X, Y ) }.
% 0.72/1.12 { ! midp( U, X, T ), ! para( U, Z, T, Y ), ! coll( Z, X, Y ), midp( Z, X, Y
% 0.72/1.12 ) }.
% 0.72/1.12 { ! cong( Z, X, Z, Y ), eqangle( Z, X, X, Y, X, Y, Z, Y ) }.
% 0.72/1.12 { ! eqangle( Z, X, X, Y, X, Y, Z, Y ), coll( Z, X, Y ), cong( Z, X, Z, Y )
% 0.72/1.12 }.
% 0.72/1.12 { ! circle( U, X, Y, Z ), ! perp( U, X, X, T ), eqangle( X, T, X, Y, Z, X,
% 0.72/1.12 Z, Y ) }.
% 0.72/1.12 { ! circle( Y, X, T, U ), ! eqangle( X, Z, X, T, U, X, U, T ), perp( Y, X,
% 0.72/1.12 X, Z ) }.
% 0.72/1.12 { ! circle( T, X, Y, Z ), ! midp( U, Y, Z ), eqangle( X, Y, X, Z, T, Y, T,
% 0.72/1.12 U ) }.
% 0.72/1.12 { ! circle( U, T, X, Y ), ! coll( Z, X, Y ), ! eqangle( T, X, T, Y, U, X, U
% 0.72/1.12 , Z ), midp( Z, X, Y ) }.
% 0.72/1.12 { ! perp( X, Y, Y, T ), ! midp( Z, X, T ), cong( X, Z, Y, Z ) }.
% 0.72/1.12 { ! circle( T, X, Y, Z ), ! coll( T, X, Z ), perp( X, Y, Y, Z ) }.
% 0.72/1.12 { ! cyclic( X, Y, Z, T ), ! para( X, Y, Z, T ), eqangle( X, T, Z, T, Z, T,
% 0.72/1.12 Z, Y ) }.
% 0.72/1.12 { ! midp( T, X, Y ), ! perp( Z, T, X, Y ), cong( Z, X, Z, Y ) }.
% 0.72/1.12 { ! cong( X, Z, Y, Z ), ! cong( X, T, Y, T ), perp( X, Y, Z, T ) }.
% 0.72/1.12 { ! cong( X, Y, T, Y ), ! cong( X, Z, T, Z ), ! cyclic( X, T, Y, Z ), perp
% 0.72/1.12 ( Y, X, X, Z ) }.
% 0.72/1.12 { ! eqangle( X, Y, Y, Z, T, U, U, W ), ! eqangle( X, Z, Y, Z, T, W, U, W )
% 0.72/1.12 , coll( X, Y, Z ), simtri( X, Y, Z, T, U, W ) }.
% 0.72/1.12 { ! simtri( X, Y, Z, T, U, W ), eqratio( X, Y, X, Z, T, U, T, W ) }.
% 0.72/1.12 { ! simtri( X, Y, Z, T, U, W ), eqangle( X, Y, Y, Z, T, U, U, W ) }.
% 0.72/1.12 { ! simtri( X, Y, Z, T, U, W ), ! cong( X, Y, T, U ), contri( X, Y, Z, T, U
% 0.72/1.12 , W ) }.
% 0.72/1.12 { ! contri( X, Y, U, Z, T, W ), cong( X, Y, Z, T ) }.
% 0.72/1.12 { ! midp( U, X, Y ), ! midp( U, Z, T ), para( X, Z, Y, T ) }.
% 0.72/1.12 { ! midp( Z, T, U ), ! para( T, X, U, Y ), ! para( T, Y, U, X ), midp( Z, X
% 0.72/1.12 , Y ) }.
% 0.72/1.12 { ! para( X, Y, Z, T ), ! coll( U, X, Z ), ! coll( U, Y, T ), eqratio( U, X
% 0.72/1.12 , X, Z, U, Y, Y, T ) }.
% 0.72/1.12 { ! para( X, Y, X, Z ), coll( X, Y, Z ) }.
% 0.72/1.12 { ! cong( X, Y, X, Z ), ! coll( X, Y, Z ), midp( X, Y, Z ) }.
% 0.72/1.12 { ! midp( X, Y, Z ), cong( X, Y, X, Z ) }.
% 0.72/1.12 { ! midp( X, Y, Z ), coll( X, Y, Z ) }.
% 0.72/1.12 { ! midp( U, X, Y ), ! midp( W, Z, T ), eqratio( U, X, X, Y, W, Z, Z, T ) }
% 0.72/1.12 .
% 0.72/1.12 { ! eqangle( X, Y, Z, T, Z, T, X, Y ), para( X, Y, Z, T ), perp( X, Y, Z, T
% 0.72/1.12 ) }.
% 0.72/1.12 { ! eqangle( X, Y, Z, T, Z, T, X, Y ), perp( X, Y, Z, T ), para( X, Y, Z, T
% 0.72/1.12 ) }.
% 0.72/1.12 { ! eqangle( X, Y, Z, T, U, W, V0, V1 ), ! para( U, W, V0, V1 ), para( X, Y
% 0.72/1.12 , Z, T ) }.
% 0.72/1.12 { ! eqangle( X, Y, Z, T, U, W, V0, V1 ), ! perp( U, W, V0, V1 ), perp( X, Y
% 0.72/1.12 , Z, T ) }.
% 0.72/1.12 { ! eqratio( X, Y, Z, T, U, W, V0, V1 ), ! cong( U, W, V0, V1 ), cong( X, Y
% 0.72/1.12 , Z, T ) }.
% 0.72/1.12 { ! perp( Z, Y, Y, X ), ! eqangle( T, Z, Y, Z, Y, Z, X, Z ), coll( skol1( U
% 0.72/1.12 , W, Z, T ), Z, T ) }.
% 0.72/1.12 { ! perp( Z, Y, Y, X ), ! eqangle( T, Z, Y, Z, Y, Z, X, Z ), coll( skol1( X
% 0.72/1.12 , Y, Z, T ), X, Y ) }.
% 0.72/1.12 { ! cong( Z, X, Z, Y ), ! eqangle( X, Z, Z, T, Z, T, Z, Y ), coll( skol2( U
% 0.72/1.12 , W, Z, T ), Z, T ) }.
% 0.72/1.12 { ! cong( Z, X, Z, Y ), ! eqangle( X, Z, Z, T, Z, T, Z, Y ), coll( Y, X,
% 0.72/1.12 skol2( X, Y, Z, T ) ) }.
% 0.72/1.12 { ! perp( Z, T, X, Y ), ! eqangle( X, Z, Z, T, Z, T, Z, Y ), coll( skol3( U
% 0.72/1.12 , W, Z, T ), Z, T ) }.
% 0.72/1.12 { ! perp( Z, T, X, Y ), ! eqangle( X, Z, Z, T, Z, T, Z, Y ), coll( Y, X,
% 0.72/1.12 skol3( X, Y, Z, T ) ) }.
% 0.72/1.12 { ! perp( Z, T, X, Y ), ! cong( Z, X, Z, Y ), coll( skol4( U, W, Z, T ), Z
% 0.72/1.12 , T ) }.
% 0.72/1.12 { ! perp( Z, T, X, Y ), ! cong( Z, X, Z, Y ), coll( Y, X, skol4( X, Y, Z, T
% 0.72/1.12 ) ) }.
% 0.72/1.12 { ! eqangle( X, Z, Y, Z, X, T, Y, U ), coll( X, Y, Z ), cyclic( T, Y, Z,
% 0.72/1.12 skol5( W, Y, Z, T ) ) }.
% 0.72/1.12 { ! eqangle( X, Z, Y, Z, X, T, Y, U ), coll( X, Y, Z ), eqangle( X, Z, Y, Z
% 0.72/1.12 , X, skol5( X, Y, Z, T ), Y, skol5( X, Y, Z, T ) ) }.
% 0.72/1.12 { ! midp( U, X, Y ), ! midp( W, Z, T ), midp( skol6( X, V0, V1, T, V2, V3 )
% 0.72/1.12 , X, T ) }.
% 0.72/1.12 { ! midp( U, X, Y ), ! midp( W, Z, T ), para( skol6( X, V0, Z, T, V1, W ),
% 0.72/1.12 W, X, Z ) }.
% 0.72/1.12 { ! midp( U, X, Y ), ! midp( W, Z, T ), para( skol6( X, Y, Z, T, U, W ), U
% 0.72/1.12 , Y, T ) }.
% 0.72/1.12 { ! midp( Z, X, Y ), ! midp( W, T, U ), ! coll( T, X, Y ), ! coll( U, X, Y
% 0.72/1.12 ), midp( skol7( X, V0 ), X, V0 ) }.
% 0.72/1.12 { ! midp( T, X, U ), ! para( X, W, Z, T ), ! para( X, W, U, Y ), ! coll( W
% 0.72/1.12 , Y, Z ), coll( skol8( V0, V1, Z, T ), T, Z ) }.
% 0.72/1.12 { ! midp( T, X, U ), ! para( X, W, Z, T ), ! para( X, W, U, Y ), ! coll( W
% 0.72/1.12 , Y, Z ), coll( skol8( X, Y, Z, T ), X, Y ) }.
% 0.72/1.12 { ! cong( T, Z, T, U ), ! perp( X, Y, Y, T ), cong( T, Z, T, skol9( W, V0,
% 0.72/1.12 Z, T ) ) }.
% 0.72/1.12 { ! cong( T, Z, T, U ), ! perp( X, Y, Y, T ), cong( Y, Z, Y, skol9( W, Y, Z
% 0.72/1.12 , T ) ) }.
% 0.72/1.12 { ! cong( T, Z, T, U ), ! perp( X, Y, Y, T ), para( skol9( X, Y, Z, T ), Z
% 0.72/1.12 , X, Y ) }.
% 0.72/1.12 { ! perp( X, T, Y, Z ), ! perp( Y, T, X, Z ), coll( skol10( U, Y, Z ), Z, Y
% 0.72/1.12 ) }.
% 0.72/1.12 { ! perp( X, T, Y, Z ), ! perp( Y, T, X, Z ), perp( X, skol10( X, Y, Z ), Z
% 0.72/1.12 , Y ) }.
% 0.72/1.12 { ! perp( X, T, Y, Z ), ! perp( Y, T, X, Z ), alpha1( X, Y, Z ) }.
% 0.72/1.12 { ! alpha1( X, Y, Z ), coll( skol11( X, T, Z ), Z, X ) }.
% 0.72/1.12 { ! alpha1( X, Y, Z ), perp( Y, skol11( X, Y, Z ), Z, X ) }.
% 0.72/1.12 { ! coll( T, Z, X ), ! perp( Y, T, Z, X ), alpha1( X, Y, Z ) }.
% 0.72/1.12 { ! circle( Y, X, Z, T ), perp( skol12( X, Y ), X, X, Y ) }.
% 4.86/5.30 { ! circle( W, X, Y, Z ), ! cong( W, X, W, T ), ! cong( U, X, U, Y ), W = U
% 4.86/5.30 , alpha2( X, Z, U, skol13( X, V0, Z, V1, U ) ) }.
% 4.86/5.30 { ! circle( W, X, Y, Z ), ! cong( W, X, W, T ), ! cong( U, X, U, Y ), W = U
% 4.86/5.30 , coll( skol21( V0, Y, T, V1 ), Y, T ) }.
% 4.86/5.30 { ! circle( W, X, Y, Z ), ! cong( W, X, W, T ), ! cong( U, X, U, Y ), W = U
% 4.86/5.30 , cong( skol21( X, Y, T, U ), U, U, X ) }.
% 4.86/5.30 { ! alpha2( X, Y, Z, T ), coll( T, X, Y ) }.
% 4.86/5.30 { ! alpha2( X, Y, Z, T ), cong( T, Z, Z, X ) }.
% 4.86/5.30 { ! coll( T, X, Y ), ! cong( T, Z, Z, X ), alpha2( X, Y, Z, T ) }.
% 4.86/5.30 { ! cyclic( X, Y, Z, T ), ! para( X, Y, Z, T ), ! midp( U, X, Y ), circle(
% 4.86/5.30 skol14( X, Y, Z ), X, Y, Z ) }.
% 4.86/5.30 { ! perp( X, Z, Z, Y ), ! cyclic( X, Y, Z, T ), circle( skol15( X, Y, Z ),
% 4.86/5.30 X, Y, Z ) }.
% 4.86/5.30 { ! perp( X, U, U, T ), ! coll( T, Y, Z ), coll( skol16( W, Y, Z ), Y, Z )
% 4.86/5.30 }.
% 4.86/5.30 { ! perp( X, U, U, T ), ! coll( T, Y, Z ), perp( skol16( X, Y, Z ), X, Y, Z
% 4.86/5.30 ) }.
% 4.86/5.30 { ! perp( X, Z, X, Y ), ! perp( Y, X, Y, T ), ! midp( U, Z, T ), midp(
% 4.86/5.30 skol17( X, Y ), X, Y ) }.
% 4.86/5.30 { ! cong( Y, X, Y, Z ), ! perp( X, Y, Y, Z ), coll( X, Y, skol18( X, Y ) )
% 4.86/5.30 }.
% 4.86/5.30 { ! cong( Y, X, Y, Z ), ! perp( X, Y, Y, Z ), cong( Y, X, Y, skol18( X, Y )
% 4.86/5.30 ) }.
% 4.86/5.30 { ! para( U, W, X, Y ), ! coll( Z, U, X ), ! coll( Z, W, Y ), ! coll( T, U
% 4.86/5.30 , W ), coll( Z, T, skol19( V0, V1, Z, T ) ) }.
% 4.86/5.30 { ! para( U, W, X, Y ), ! coll( Z, U, X ), ! coll( Z, W, Y ), ! coll( T, U
% 4.86/5.30 , W ), coll( skol19( X, Y, Z, T ), X, Y ) }.
% 4.86/5.30 { perp( skol20, skol26, skol24, skol25 ) }.
% 4.86/5.30 { coll( skol20, skol24, skol25 ) }.
% 4.86/5.30 { perp( skol25, skol26, skol24, skol27 ) }.
% 4.86/5.30 { coll( skol27, skol26, skol20 ) }.
% 4.86/5.30 { midp( skol22, skol24, skol27 ) }.
% 4.86/5.30 { midp( skol23, skol26, skol25 ) }.
% 4.86/5.30 { ! perp( skol20, skol23, skol20, skol22 ) }.
% 4.86/5.30
% 4.86/5.30 percentage equality = 0.008798, percentage horn = 0.926829
% 4.86/5.30 This is a problem with some equality
% 4.86/5.30
% 4.86/5.30
% 4.86/5.30
% 4.86/5.30 Options Used:
% 4.86/5.30
% 4.86/5.30 useres = 1
% 4.86/5.30 useparamod = 1
% 4.86/5.30 useeqrefl = 1
% 4.86/5.30 useeqfact = 1
% 4.86/5.30 usefactor = 1
% 4.86/5.30 usesimpsplitting = 0
% 4.86/5.30 usesimpdemod = 5
% 4.86/5.30 usesimpres = 3
% 4.86/5.30
% 4.86/5.30 resimpinuse = 1000
% 4.86/5.30 resimpclauses = 20000
% 4.86/5.30 substype = eqrewr
% 4.86/5.30 backwardsubs = 1
% 4.86/5.30 selectoldest = 5
% 4.86/5.30
% 4.86/5.30 litorderings [0] = split
% 4.86/5.30 litorderings [1] = extend the termordering, first sorting on arguments
% 4.86/5.30
% 4.86/5.30 termordering = kbo
% 4.86/5.30
% 4.86/5.30 litapriori = 0
% 4.86/5.30 termapriori = 1
% 4.86/5.30 litaposteriori = 0
% 4.86/5.30 termaposteriori = 0
% 4.86/5.30 demodaposteriori = 0
% 4.86/5.30 ordereqreflfact = 0
% 4.86/5.30
% 4.86/5.30 litselect = negord
% 4.86/5.30
% 4.86/5.30 maxweight = 15
% 4.86/5.30 maxdepth = 30000
% 4.86/5.30 maxlength = 115
% 4.86/5.30 maxnrvars = 195
% 4.86/5.30 excuselevel = 1
% 4.86/5.30 increasemaxweight = 1
% 4.86/5.30
% 4.86/5.30 maxselected = 10000000
% 4.86/5.30 maxnrclauses = 10000000
% 4.86/5.30
% 4.86/5.30 showgenerated = 0
% 4.86/5.30 showkept = 0
% 4.86/5.30 showselected = 0
% 4.86/5.30 showdeleted = 0
% 4.86/5.30 showresimp = 1
% 4.86/5.30 showstatus = 2000
% 4.86/5.30
% 4.86/5.30 prologoutput = 0
% 4.86/5.30 nrgoals = 5000000
% 4.86/5.30 totalproof = 1
% 4.86/5.30
% 4.86/5.30 Symbols occurring in the translation:
% 4.86/5.30
% 4.86/5.30 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 4.86/5.30 . [1, 2] (w:1, o:36, a:1, s:1, b:0),
% 4.86/5.30 ! [4, 1] (w:0, o:31, a:1, s:1, b:0),
% 4.86/5.30 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 4.86/5.30 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 4.86/5.30 coll [38, 3] (w:1, o:64, a:1, s:1, b:0),
% 4.86/5.30 para [40, 4] (w:1, o:72, a:1, s:1, b:0),
% 4.86/5.30 perp [43, 4] (w:1, o:73, a:1, s:1, b:0),
% 4.86/5.30 midp [45, 3] (w:1, o:65, a:1, s:1, b:0),
% 4.86/5.30 cong [47, 4] (w:1, o:74, a:1, s:1, b:0),
% 4.86/5.30 circle [48, 4] (w:1, o:75, a:1, s:1, b:0),
% 4.86/5.30 cyclic [49, 4] (w:1, o:76, a:1, s:1, b:0),
% 4.86/5.30 eqangle [54, 8] (w:1, o:91, a:1, s:1, b:0),
% 4.86/5.30 eqratio [57, 8] (w:1, o:92, a:1, s:1, b:0),
% 4.86/5.30 simtri [59, 6] (w:1, o:88, a:1, s:1, b:0),
% 4.86/5.30 contri [60, 6] (w:1, o:89, a:1, s:1, b:0),
% 4.86/5.30 alpha1 [64, 3] (w:1, o:66, a:1, s:1, b:1),
% 4.86/5.30 alpha2 [65, 4] (w:1, o:77, a:1, s:1, b:1),
% 4.86/5.30 skol1 [66, 4] (w:1, o:78, a:1, s:1, b:1),
% 4.86/5.30 skol2 [67, 4] (w:1, o:80, a:1, s:1, b:1),
% 4.86/5.30 skol3 [68, 4] (w:1, o:82, a:1, s:1, b:1),
% 4.86/5.30 skol4 [69, 4] (w:1, o:83, a:1, s:1, b:1),
% 4.86/5.30 skol5 [70, 4] (w:1, o:84, a:1, s:1, b:1),
% 4.86/5.30 skol6 [71, 6] (w:1, o:90, a:1, s:1, b:1),
% 4.86/5.30 skol7 [72, 2] (w:1, o:60, a:1, s:1, b:1),
% 4.86/5.30 skol8 [73, 4] (w:1, o:85, a:1, s:1, b:1),
% 4.86/5.30 skol9 [74, 4] (w:1, o:86, a:1, s:1, b:1),
% 5.00/5.49 skol10 [75, 3] (w:1, o:67, a:1, s:1, b:1),
% 5.00/5.49 skol11 [76, 3] (w:1, o:68, a:1, s:1, b:1),
% 5.00/5.49 skol12 [77, 2] (w:1, o:61, a:1, s:1, b:1),
% 5.00/5.49 skol13 [78, 5] (w:1, o:87, a:1, s:1, b:1),
% 5.00/5.49 skol14 [79, 3] (w:1, o:69, a:1, s:1, b:1),
% 5.00/5.49 skol15 [80, 3] (w:1, o:70, a:1, s:1, b:1),
% 5.00/5.49 skol16 [81, 3] (w:1, o:71, a:1, s:1, b:1),
% 5.00/5.49 skol17 [82, 2] (w:1, o:62, a:1, s:1, b:1),
% 5.00/5.49 skol18 [83, 2] (w:1, o:63, a:1, s:1, b:1),
% 5.00/5.49 skol19 [84, 4] (w:1, o:79, a:1, s:1, b:1),
% 5.00/5.49 skol20 [85, 0] (w:1, o:24, a:1, s:1, b:1),
% 5.00/5.49 skol21 [86, 4] (w:1, o:81, a:1, s:1, b:1),
% 5.00/5.49 skol22 [87, 0] (w:1, o:25, a:1, s:1, b:1),
% 5.00/5.49 skol23 [88, 0] (w:1, o:26, a:1, s:1, b:1),
% 5.00/5.49 skol24 [89, 0] (w:1, o:27, a:1, s:1, b:1),
% 5.00/5.49 skol25 [90, 0] (w:1, o:28, a:1, s:1, b:1),
% 5.00/5.49 skol26 [91, 0] (w:1, o:29, a:1, s:1, b:1),
% 5.00/5.49 skol27 [92, 0] (w:1, o:30, a:1, s:1, b:1).
% 5.00/5.49
% 5.00/5.49
% 5.00/5.49 Starting Search:
% 5.00/5.49
% 5.00/5.49 *** allocated 15000 integers for clauses
% 5.00/5.49 *** allocated 22500 integers for clauses
% 5.00/5.49 *** allocated 33750 integers for clauses
% 5.00/5.49 *** allocated 50625 integers for clauses
% 5.00/5.49 *** allocated 22500 integers for termspace/termends
% 5.00/5.49 *** allocated 75937 integers for clauses
% 5.00/5.49 Resimplifying inuse:
% 5.00/5.49 Done
% 5.00/5.49
% 5.00/5.49 *** allocated 33750 integers for termspace/termends
% 5.00/5.49 *** allocated 113905 integers for clauses
% 5.00/5.49 *** allocated 50625 integers for termspace/termends
% 5.00/5.49
% 5.00/5.49 Intermediate Status:
% 5.00/5.49 Generated: 10442
% 5.00/5.49 Kept: 2004
% 5.00/5.49 Inuse: 329
% 5.00/5.49 Deleted: 0
% 5.00/5.49 Deletedinuse: 0
% 5.00/5.49
% 5.00/5.49 Resimplifying inuse:
% 5.00/5.49 Done
% 5.00/5.49
% 5.00/5.49 *** allocated 170857 integers for clauses
% 5.00/5.49 *** allocated 75937 integers for termspace/termends
% 5.00/5.49 Resimplifying inuse:
% 5.00/5.49 Done
% 5.00/5.49
% 5.00/5.49 *** allocated 256285 integers for clauses
% 5.00/5.49 *** allocated 113905 integers for termspace/termends
% 5.00/5.49
% 5.00/5.49 Intermediate Status:
% 5.00/5.49 Generated: 22441
% 5.00/5.49 Kept: 4007
% 5.00/5.49 Inuse: 465
% 5.00/5.49 Deleted: 0
% 5.00/5.49 Deletedinuse: 0
% 5.00/5.49
% 5.00/5.49 Resimplifying inuse:
% 5.00/5.49 Done
% 5.00/5.49
% 5.00/5.49 Resimplifying inuse:
% 5.00/5.49 Done
% 5.00/5.49
% 5.00/5.49 *** allocated 384427 integers for clauses
% 5.00/5.49 *** allocated 170857 integers for termspace/termends
% 5.00/5.49
% 5.00/5.49 Intermediate Status:
% 5.00/5.49 Generated: 37158
% 5.00/5.49 Kept: 6024
% 5.00/5.49 Inuse: 536
% 5.00/5.49 Deleted: 0
% 5.00/5.49 Deletedinuse: 0
% 5.00/5.49
% 5.00/5.49 Resimplifying inuse:
% 5.00/5.49 Done
% 5.00/5.49
% 5.00/5.49 Resimplifying inuse:
% 5.00/5.49 Done
% 5.00/5.49
% 5.00/5.49 *** allocated 576640 integers for clauses
% 5.00/5.49
% 5.00/5.49 Intermediate Status:
% 5.00/5.49 Generated: 51950
% 5.00/5.49 Kept: 8126
% 5.00/5.49 Inuse: 685
% 5.00/5.49 Deleted: 1
% 5.00/5.49 Deletedinuse: 0
% 5.00/5.49
% 5.00/5.49 Resimplifying inuse:
% 5.00/5.49 Done
% 5.00/5.49
% 5.00/5.49 *** allocated 256285 integers for termspace/termends
% 5.00/5.49 Resimplifying inuse:
% 5.00/5.49 Done
% 5.00/5.49
% 5.00/5.49
% 5.00/5.49 Intermediate Status:
% 5.00/5.49 Generated: 63359
% 5.00/5.49 Kept: 10160
% 5.00/5.49 Inuse: 867
% 5.00/5.49 Deleted: 729
% 5.00/5.49 Deletedinuse: 485
% 5.00/5.49
% 5.00/5.49 Resimplifying inuse:
% 5.00/5.49 Done
% 5.00/5.49
% 5.00/5.49 Resimplifying inuse:
% 5.00/5.49 Done
% 5.00/5.49
% 5.00/5.49 *** allocated 864960 integers for clauses
% 5.00/5.49
% 5.00/5.49 Intermediate Status:
% 5.00/5.49 Generated: 70787
% 5.00/5.49 Kept: 12165
% 5.00/5.49 Inuse: 974
% 5.00/5.49 Deleted: 764
% 5.00/5.49 Deletedinuse: 505
% 5.00/5.49
% 5.00/5.49 Resimplifying inuse:
% 5.00/5.49 Done
% 5.00/5.49
% 5.00/5.49 Resimplifying inuse:
% 5.00/5.49 Done
% 5.00/5.49
% 5.00/5.49
% 5.00/5.49 Intermediate Status:
% 5.00/5.49 Generated: 79966
% 5.00/5.49 Kept: 14168
% 5.00/5.49 Inuse: 1121
% 5.00/5.49 Deleted: 764
% 5.00/5.49 Deletedinuse: 505
% 5.00/5.49
% 5.00/5.49 Resimplifying inuse:
% 5.00/5.49 Done
% 5.00/5.49
% 5.00/5.49 *** allocated 384427 integers for termspace/termends
% 5.00/5.49 Resimplifying inuse:
% 5.00/5.49 Done
% 5.00/5.49
% 5.00/5.49
% 5.00/5.49 Intermediate Status:
% 5.00/5.49 Generated: 89769
% 5.00/5.49 Kept: 16169
% 5.00/5.49 Inuse: 1278
% 5.00/5.49 Deleted: 765
% 5.00/5.49 Deletedinuse: 505
% 5.00/5.49
% 5.00/5.49 Resimplifying inuse:
% 5.00/5.49 Done
% 5.00/5.49
% 5.00/5.49 *** allocated 1297440 integers for clauses
% 5.00/5.49 Resimplifying inuse:
% 5.00/5.49 Done
% 5.00/5.49
% 5.00/5.49
% 5.00/5.49 Intermediate Status:
% 5.00/5.49 Generated: 100766
% 5.00/5.49 Kept: 18174
% 5.00/5.49 Inuse: 1467
% 5.00/5.49 Deleted: 779
% 5.00/5.49 Deletedinuse: 505
% 5.00/5.49
% 5.00/5.49 Resimplifying inuse:
% 5.00/5.49 Done
% 5.00/5.49
% 5.00/5.49 Resimplifying inuse:
% 5.00/5.49 Done
% 5.00/5.49
% 5.00/5.49 Resimplifying clauses:
% 5.00/5.49 Done
% 5.00/5.49
% 5.00/5.49
% 5.00/5.49 Intermediate Status:
% 5.00/5.49 Generated: 111352
% 5.00/5.49 Kept: 20188
% 5.00/5.49 Inuse: 1648
% 5.00/5.49 Deleted: 6528
% 5.00/5.49 Deletedinuse: 505
% 5.00/5.49
% 5.00/5.49 Resimplifying inuse:
% 5.00/5.49 Done
% 5.00/5.49
% 5.00/5.49 Resimplifying inuse:
% 5.00/5.49 Done
% 5.00/5.49
% 5.00/5.49
% 5.00/5.49 Intermediate Status:
% 5.00/5.49 Generated: 121444
% 5.00/5.49 Kept: 22189
% 5.00/5.49 Inuse: 1842
% 5.00/5.49 Deleted: 6644
% 5.00/5.49 Deletedinuse: 621
% 5.00/5.49
% 5.00/5.49 Resimplifying inuse:
% 5.00/5.49 Done
% 5.00/5.49
% 5.00/5.49 Resimplifying inuse:
% 5.00/5.49 Done
% 5.00/5.49
% 5.00/5.49
% 5.00/5.49 Intermediate Status:
% 5.00/5.49 Generated: 131853
% 5.00/5.49 Kept: 24196
% 5.00/5.49 Inuse: 1962
% 5.00/5.49 Deleted: 6667
% 5.00/5.49 Deletedinuse: 644
% 5.00/5.49
% 5.00/5.49 *** allocated 576640 integers for termspace/termends
% 5.00/5.49 Resimplifying inuse:
% 5.00/5.49 Done
% 5.00/5.49
% 5.00/5.49 *** allocated 1946160 integers for clauses
% 5.00/5.49 Resimplifying inuse:
% 5.00/5.49 Done
% 5.00/5.49
% 5.00/5.49
% 5.00/5.49 Intermediate Status:
% 5.00/5.49 Generated: 141879
% 5.00/5.49 Kept: 26201
% 5.00/5.49 Inuse: 2087
% 5.00/5.49 Deleted: 6692
% 5.00/5.49 Deletedinuse: 644
% 5.00/5.49
% 5.00/5.49 Resimplifying inuse:
% 5.00/5.49 Done
% 5.00/5.49
% 5.00/5.49
% 5.00/5.49 Bliksems!, er is een bewijs:
% 5.00/5.49 % SZS status Theorem
% 5.00/5.49 % SZS output start Refutation
% 5.00/5.49
% 5.00/5.49 (0) {G0,W8,D2,L2,V3,M2} I { ! coll( X, Y, Z ), coll( X, Z, Y ) }.
% 5.00/5.49 (1) {G0,W8,D2,L2,V3,M2} I { ! coll( X, Y, Z ), coll( Y, X, Z ) }.
% 5.00/5.49 (2) {G0,W12,D2,L3,V4,M3} I { ! coll( X, T, Y ), ! coll( X, T, Z ), coll( Y
% 5.00/5.49 , Z, X ) }.
% 5.00/5.49 (6) {G0,W10,D2,L2,V4,M2} I { ! perp( X, Y, Z, T ), perp( X, Y, T, Z ) }.
% 5.00/5.49 (7) {G0,W10,D2,L2,V4,M2} I { ! perp( X, Y, Z, T ), perp( Z, T, X, Y ) }.
% 5.00/5.49 (8) {G0,W15,D2,L3,V6,M3} I { ! perp( X, Y, U, W ), ! perp( U, W, Z, T ),
% 5.00/5.49 para( X, Y, Z, T ) }.
% 5.00/5.49 (9) {G0,W15,D2,L3,V6,M3} I { ! para( X, Y, U, W ), ! perp( U, W, Z, T ),
% 5.00/5.49 perp( X, Y, Z, T ) }.
% 5.00/5.49 (10) {G0,W8,D2,L2,V3,M2} I { ! midp( Z, Y, X ), midp( Z, X, Y ) }.
% 5.00/5.49 (11) {G0,W15,D2,L3,V4,M3} I { ! cong( T, X, T, Y ), ! cong( T, X, T, Z ),
% 5.00/5.49 circle( T, X, Y, Z ) }.
% 5.00/5.49 (13) {G0,W10,D2,L2,V4,M2} I { ! cyclic( X, Y, Z, T ), cyclic( X, Y, T, Z )
% 5.00/5.49 }.
% 5.00/5.49 (14) {G0,W10,D2,L2,V4,M2} I { ! cyclic( X, Y, Z, T ), cyclic( X, Z, Y, T )
% 5.00/5.49 }.
% 5.00/5.49 (15) {G0,W10,D2,L2,V4,M2} I { ! cyclic( X, Y, Z, T ), cyclic( Y, X, Z, T )
% 5.00/5.49 }.
% 5.00/5.49 (16) {G0,W15,D2,L3,V5,M3} I { ! cyclic( U, X, Y, Z ), ! cyclic( U, X, Y, T
% 5.00/5.49 ), cyclic( X, Y, Z, T ) }.
% 5.00/5.49 (39) {G0,W14,D2,L2,V6,M2} I { ! para( X, Y, Z, T ), eqangle( X, Y, U, W, Z
% 5.00/5.49 , T, U, W ) }.
% 5.00/5.49 (40) {G0,W14,D2,L2,V4,M2} I { ! cyclic( X, Y, Z, T ), eqangle( Z, X, Z, Y,
% 5.00/5.49 T, X, T, Y ) }.
% 5.00/5.49 (42) {G0,W18,D2,L3,V4,M3} I { ! eqangle( Z, X, Z, Y, T, X, T, Y ), ! coll(
% 5.00/5.49 Z, T, Y ), cyclic( X, Y, Z, T ) }.
% 5.00/5.49 (43) {G0,W29,D2,L5,V6,M5} I { ! cyclic( X, Y, U, Z ), ! cyclic( X, Y, U, T
% 5.00/5.49 ), ! cyclic( X, Y, U, W ), ! eqangle( U, X, U, Y, W, Z, W, T ), cong( X
% 5.00/5.49 , Y, Z, T ) }.
% 5.00/5.49 (53) {G0,W14,D2,L3,V4,M3} I { ! circle( T, X, Y, Z ), ! coll( T, X, Z ),
% 5.00/5.49 perp( X, Y, Y, Z ) }.
% 5.00/5.49 (56) {G0,W15,D2,L3,V4,M3} I { ! cong( X, Z, Y, Z ), ! cong( X, T, Y, T ),
% 5.00/5.49 perp( X, Y, Z, T ) }.
% 5.00/5.49 (68) {G0,W9,D2,L2,V3,M2} I { ! midp( X, Y, Z ), cong( X, Y, X, Z ) }.
% 5.00/5.49 (69) {G0,W8,D2,L2,V3,M2} I { ! midp( X, Y, Z ), coll( X, Y, Z ) }.
% 5.00/5.49 (88) {G0,W22,D3,L5,V7,M5} I { ! midp( Z, X, Y ), ! midp( W, T, U ), ! coll
% 5.00/5.49 ( T, X, Y ), ! coll( U, X, Y ), midp( skol7( X, V0 ), X, V0 ) }.
% 5.00/5.49 (100) {G0,W12,D3,L2,V4,M2} I { ! circle( Y, X, Z, T ), perp( skol12( X, Y )
% 5.00/5.49 , X, X, Y ) }.
% 5.00/5.49 (110) {G0,W17,D3,L3,V5,M3} I { ! perp( X, U, U, T ), ! coll( T, Y, Z ),
% 5.00/5.49 perp( skol16( X, Y, Z ), X, Y, Z ) }.
% 5.00/5.49 (120) {G0,W4,D2,L1,V0,M1} I { midp( skol22, skol24, skol27 ) }.
% 5.00/5.49 (121) {G0,W4,D2,L1,V0,M1} I { midp( skol23, skol26, skol25 ) }.
% 5.00/5.49 (122) {G0,W5,D2,L1,V0,M1} I { ! perp( skol20, skol23, skol20, skol22 ) }.
% 5.00/5.49 (125) {G1,W10,D2,L2,V3,M2} F(11) { ! cong( X, Y, X, Z ), circle( X, Y, Z, Z
% 5.00/5.49 ) }.
% 5.00/5.49 (145) {G1,W18,D3,L4,V4,M4} F(88) { ! midp( X, Y, Z ), ! coll( Y, Y, Z ), !
% 5.00/5.49 coll( Z, Y, Z ), midp( skol7( Y, T ), Y, T ) }.
% 5.00/5.49 (164) {G1,W8,D2,L2,V3,M2} R(1,0) { coll( X, Y, Z ), ! coll( Y, Z, X ) }.
% 5.00/5.49 (165) {G1,W8,D2,L2,V3,M2} R(1,0) { ! coll( X, Y, Z ), coll( Y, Z, X ) }.
% 5.00/5.49 (189) {G1,W12,D2,L3,V4,M3} R(2,0) { ! coll( X, Y, Z ), ! coll( X, Y, T ),
% 5.00/5.49 coll( Z, X, T ) }.
% 5.00/5.49 (194) {G2,W8,D2,L2,V3,M2} F(189) { ! coll( X, Y, Z ), coll( Z, X, Z ) }.
% 5.00/5.49 (211) {G3,W12,D2,L3,V4,M3} R(194,2) { coll( X, Y, X ), ! coll( X, Z, Y ), !
% 5.00/5.49 coll( X, Z, T ) }.
% 5.00/5.49 (224) {G4,W8,D2,L2,V3,M2} F(211) { coll( X, Y, X ), ! coll( X, Z, Y ) }.
% 5.00/5.49 (268) {G1,W10,D2,L2,V4,M2} R(7,6) { perp( X, Y, Z, T ), ! perp( Z, T, Y, X
% 5.00/5.49 ) }.
% 5.00/5.49 (280) {G1,W15,D2,L3,V6,M3} R(8,7) { ! perp( X, Y, Z, T ), para( U, W, Z, T
% 5.00/5.49 ), ! perp( X, Y, U, W ) }.
% 5.00/5.49 (281) {G1,W15,D2,L3,V6,M3} R(8,7) { ! perp( X, Y, Z, T ), para( X, Y, U, W
% 5.00/5.49 ), ! perp( U, W, Z, T ) }.
% 5.00/5.49 (293) {G2,W10,D2,L2,V4,M2} F(281) { ! perp( X, Y, Z, T ), para( X, Y, X, Y
% 5.00/5.49 ) }.
% 5.00/5.49 (311) {G1,W10,D2,L2,V2,M2} R(9,122) { ! para( skol20, skol23, X, Y ), !
% 5.00/5.49 perp( X, Y, skol20, skol22 ) }.
% 5.00/5.49 (319) {G1,W4,D2,L1,V0,M1} R(10,120) { midp( skol22, skol27, skol24 ) }.
% 5.00/5.49 (320) {G1,W4,D2,L1,V0,M1} R(10,121) { midp( skol23, skol25, skol26 ) }.
% 5.00/5.49 (349) {G1,W10,D2,L2,V4,M2} R(14,13) { ! cyclic( X, Y, Z, T ), cyclic( X, Z
% 5.00/5.49 , T, Y ) }.
% 5.00/5.49 (367) {G1,W10,D2,L2,V4,M2} R(15,14) { ! cyclic( X, Y, Z, T ), cyclic( Y, Z
% 5.00/5.49 , X, T ) }.
% 5.00/5.49 (398) {G1,W15,D2,L3,V5,M3} R(16,13) { ! cyclic( X, Y, Z, T ), cyclic( Y, Z
% 5.00/5.49 , T, U ), ! cyclic( X, Y, U, Z ) }.
% 5.00/5.49 (450) {G5,W8,D2,L2,V3,M2} R(224,1) { ! coll( X, Y, Z ), coll( Z, X, X ) }.
% 5.00/5.49 (455) {G6,W8,D2,L2,V3,M2} R(450,1) { coll( X, Y, Y ), ! coll( Z, Y, X ) }.
% 5.00/5.49 (456) {G6,W8,D2,L2,V3,M2} R(450,0) { coll( X, Y, Y ), ! coll( Y, X, Z ) }.
% 5.00/5.49 (457) {G7,W8,D2,L2,V3,M2} R(455,450) { ! coll( X, Y, Z ), coll( Y, Z, Z )
% 5.00/5.49 }.
% 5.00/5.49 (472) {G7,W8,D2,L2,V3,M2} R(456,456) { ! coll( X, Y, Z ), coll( X, Y, Y )
% 5.00/5.49 }.
% 5.00/5.49 (475) {G8,W12,D2,L3,V4,M3} R(472,2) { ! coll( X, Y, Z ), ! coll( X, Y, T )
% 5.00/5.49 , coll( T, Y, X ) }.
% 5.00/5.49 (476) {G9,W8,D2,L2,V3,M2} F(475) { ! coll( X, Y, Z ), coll( Z, Y, X ) }.
% 5.00/5.49 (479) {G10,W8,D2,L2,V3,M2} R(476,457) { coll( X, X, Y ), ! coll( Z, Y, X )
% 5.00/5.49 }.
% 5.00/5.49 (480) {G10,W8,D2,L2,V3,M2} R(476,455) { coll( X, X, Y ), ! coll( Z, X, Y )
% 5.00/5.49 }.
% 5.00/5.49 (534) {G2,W8,D2,L2,V3,M2} R(69,164) { ! midp( X, Y, Z ), coll( Z, X, Y )
% 5.00/5.49 }.
% 5.00/5.49 (541) {G11,W8,D2,L2,V3,M2} R(69,480) { ! midp( X, Y, Z ), coll( Y, Y, Z )
% 5.00/5.49 }.
% 5.00/5.49 (555) {G2,W4,D2,L1,V0,M1} R(69,320) { coll( skol23, skol25, skol26 ) }.
% 5.00/5.49 (563) {G1,W4,D2,L1,V0,M1} R(69,121) { coll( skol23, skol26, skol25 ) }.
% 5.00/5.49 (573) {G11,W4,D2,L1,V0,M1} R(555,479) { coll( skol26, skol26, skol25 ) }.
% 5.00/5.49 (716) {G2,W8,D2,L2,V1,M2} R(563,2) { ! coll( skol23, skol26, X ), coll(
% 5.00/5.49 skol25, X, skol23 ) }.
% 5.00/5.49 (784) {G1,W14,D2,L3,V3,M3} R(42,39) { ! coll( X, X, Y ), cyclic( Z, Y, X, X
% 5.00/5.49 ), ! para( X, Z, X, Z ) }.
% 5.00/5.49 (909) {G1,W20,D2,L4,V4,M4} R(43,40);f { ! cyclic( X, Y, Z, X ), ! cyclic( X
% 5.00/5.49 , Y, Z, Y ), ! cyclic( X, Y, Z, T ), cong( X, Y, X, Y ) }.
% 5.00/5.49 (941) {G2,W15,D2,L3,V3,M3} F(909) { ! cyclic( X, Y, Z, X ), ! cyclic( X, Y
% 5.00/5.49 , Z, Y ), cong( X, Y, X, Y ) }.
% 5.00/5.49 (974) {G3,W8,D2,L2,V1,M2} R(716,165) { coll( skol25, X, skol23 ), ! coll( X
% 5.00/5.49 , skol23, skol26 ) }.
% 5.00/5.49 (1858) {G4,W8,D2,L2,V1,M2} R(974,165) { ! coll( X, skol23, skol26 ), coll(
% 5.00/5.49 X, skol23, skol25 ) }.
% 5.00/5.49 (1876) {G5,W12,D2,L3,V2,M3} R(1858,2) { ! coll( X, skol23, skol26 ), ! coll
% 5.00/5.49 ( X, skol23, Y ), coll( skol25, Y, X ) }.
% 5.00/5.49 (1881) {G6,W8,D2,L2,V1,M2} F(1876) { ! coll( X, skol23, skol26 ), coll(
% 5.00/5.49 skol25, skol26, X ) }.
% 5.00/5.49 (2435) {G2,W5,D2,L1,V0,M1} R(68,319) { cong( skol22, skol27, skol22, skol24
% 5.00/5.49 ) }.
% 5.00/5.49 (2437) {G1,W5,D2,L1,V0,M1} R(68,121) { cong( skol23, skol26, skol23, skol25
% 5.00/5.49 ) }.
% 5.00/5.49 (3001) {G7,W8,D2,L2,V1,M2} R(1881,534) { coll( skol25, skol26, X ), ! midp
% 5.00/5.49 ( skol23, skol26, X ) }.
% 5.00/5.49 (7163) {G2,W5,D2,L1,V0,M1} R(125,2437) { circle( skol23, skol26, skol25,
% 5.00/5.49 skol25 ) }.
% 5.00/5.49 (7165) {G3,W5,D2,L1,V0,M1} R(125,2435) { circle( skol22, skol27, skol24,
% 5.00/5.49 skol24 ) }.
% 5.00/5.49 (7175) {G3,W5,D2,L1,V0,M1} R(7163,53);r(563) { perp( skol26, skol25, skol25
% 5.00/5.49 , skol25 ) }.
% 5.00/5.49 (7197) {G4,W5,D2,L1,V0,M1} R(7175,7) { perp( skol25, skol25, skol26, skol25
% 5.00/5.49 ) }.
% 5.00/5.49 (7212) {G5,W5,D2,L1,V0,M1} R(7197,6) { perp( skol25, skol25, skol25, skol26
% 5.00/5.49 ) }.
% 5.00/5.49 (7229) {G6,W12,D3,L2,V2,M2} R(7212,110) { ! coll( skol26, X, Y ), perp(
% 5.00/5.49 skol16( skol25, X, Y ), skol25, X, Y ) }.
% 5.00/5.49 (7955) {G4,W7,D3,L1,V0,M1} R(7165,100) { perp( skol12( skol27, skol22 ),
% 5.00/5.49 skol27, skol27, skol22 ) }.
% 5.00/5.49 (8026) {G12,W14,D3,L3,V2,M3} R(145,3001);r(573) { ! midp( X, skol26, skol25
% 5.00/5.49 ), midp( skol7( skol26, Y ), skol26, Y ), ! midp( skol23, skol26, skol25
% 5.00/5.49 ) }.
% 5.00/5.49 (8125) {G13,W6,D3,L1,V1,M1} F(8026);r(121) { midp( skol7( skol26, X ),
% 5.00/5.49 skol26, X ) }.
% 5.00/5.49 (8373) {G14,W4,D2,L1,V1,M1} R(8125,541) { coll( skol26, skol26, X ) }.
% 5.00/5.49 (8485) {G15,W4,D2,L1,V2,M1} R(8373,2);r(8373) { coll( Y, X, skol26 ) }.
% 5.00/5.49 (8511) {G16,W4,D2,L1,V2,M1} R(8485,165) { coll( X, skol26, Y ) }.
% 5.00/5.49 (8524) {G17,W4,D2,L1,V3,M1} R(8511,2);r(8511) { coll( Z, Y, X ) }.
% 5.00/5.49 (8711) {G5,W7,D3,L1,V0,M1} R(7955,7) { perp( skol27, skol22, skol12( skol27
% 5.00/5.49 , skol22 ), skol27 ) }.
% 5.00/5.49 (8720) {G6,W7,D3,L1,V0,M1} R(8711,6) { perp( skol27, skol22, skol27, skol12
% 5.00/5.49 ( skol27, skol22 ) ) }.
% 5.00/5.49 (8728) {G7,W7,D3,L1,V0,M1} R(8720,7) { perp( skol27, skol12( skol27, skol22
% 5.00/5.49 ), skol27, skol22 ) }.
% 5.00/5.49 (8737) {G8,W7,D3,L1,V0,M1} R(8728,6) { perp( skol27, skol12( skol27, skol22
% 5.00/5.49 ), skol22, skol27 ) }.
% 5.00/5.49 (8746) {G9,W7,D3,L1,V0,M1} R(8737,7) { perp( skol22, skol27, skol27, skol12
% 5.00/5.49 ( skol27, skol22 ) ) }.
% 5.00/5.49 (8748) {G18,W8,D3,L1,V2,M1} R(8746,110);r(8524) { perp( skol16( skol22, X,
% 5.00/5.49 Y ), skol22, X, Y ) }.
% 5.00/5.49 (9558) {G19,W8,D3,L1,V2,M1} R(8748,268) { perp( X, Y, skol16( skol22, Y, X
% 5.00/5.49 ), skol22 ) }.
% 5.00/5.49 (9996) {G20,W5,D2,L1,V2,M1} R(293,9558) { para( X, Y, X, Y ) }.
% 5.00/5.49 (20025) {G18,W8,D3,L1,V2,M1} S(7229);r(8524) { perp( skol16( skol25, X, Y )
% 5.00/5.49 , skol25, X, Y ) }.
% 5.00/5.49 (20103) {G21,W5,D2,L1,V3,M1} S(784);r(8524);r(9996) { cyclic( Z, Y, X, X )
% 5.00/5.49 }.
% 5.00/5.49 (20121) {G22,W5,D2,L1,V3,M1} R(20103,367) { cyclic( X, Y, Z, Y ) }.
% 5.00/5.49 (20123) {G22,W5,D2,L1,V3,M1} R(20103,349) { cyclic( X, Y, Y, Z ) }.
% 5.00/5.49 (20128) {G23,W5,D2,L1,V3,M1} R(20121,398);r(20123) { cyclic( Y, Y, Z, T )
% 5.00/5.49 }.
% 5.00/5.49 (20136) {G24,W5,D2,L1,V4,M1} R(20128,398);r(20128) { cyclic( X, Y, Z, T )
% 5.00/5.49 }.
% 5.00/5.49 (21670) {G19,W8,D3,L1,V0,M1} R(20025,311) { ! para( skol20, skol23, skol16
% 5.00/5.49 ( skol25, skol20, skol22 ), skol25 ) }.
% 5.00/5.49 (26735) {G25,W5,D2,L1,V2,M1} S(941);r(20136);r(20136) { cong( X, Y, X, Y )
% 5.00/5.49 }.
% 5.00/5.49 (26746) {G26,W5,D2,L1,V3,M1} R(26735,56);r(26735) { perp( X, X, Z, Y ) }.
% 5.00/5.49 (26783) {G27,W5,D2,L1,V4,M1} R(26746,280);r(26746) { para( X, Y, Z, T ) }.
% 5.00/5.49 (26795) {G28,W0,D0,L0,V0,M0} R(26783,21670) { }.
% 5.00/5.49
% 5.00/5.49
% 5.00/5.49 % SZS output end Refutation
% 5.00/5.49 found a proof!
% 5.00/5.49
% 5.00/5.49
% 5.00/5.49 Unprocessed initial clauses:
% 5.00/5.49
% 5.00/5.49 (26797) {G0,W8,D2,L2,V3,M2} { ! coll( X, Y, Z ), coll( X, Z, Y ) }.
% 5.00/5.49 (26798) {G0,W8,D2,L2,V3,M2} { ! coll( X, Y, Z ), coll( Y, X, Z ) }.
% 5.00/5.49 (26799) {G0,W12,D2,L3,V4,M3} { ! coll( X, T, Y ), ! coll( X, T, Z ), coll
% 5.00/5.49 ( Y, Z, X ) }.
% 5.00/5.49 (26800) {G0,W10,D2,L2,V4,M2} { ! para( X, Y, Z, T ), para( X, Y, T, Z )
% 5.00/5.49 }.
% 5.00/5.49 (26801) {G0,W10,D2,L2,V4,M2} { ! para( X, Y, Z, T ), para( Z, T, X, Y )
% 5.00/5.49 }.
% 5.00/5.49 (26802) {G0,W15,D2,L3,V6,M3} { ! para( X, Y, U, W ), ! para( U, W, Z, T )
% 5.00/5.49 , para( X, Y, Z, T ) }.
% 5.00/5.49 (26803) {G0,W10,D2,L2,V4,M2} { ! perp( X, Y, Z, T ), perp( X, Y, T, Z )
% 5.00/5.49 }.
% 5.00/5.49 (26804) {G0,W10,D2,L2,V4,M2} { ! perp( X, Y, Z, T ), perp( Z, T, X, Y )
% 5.00/5.49 }.
% 5.00/5.49 (26805) {G0,W15,D2,L3,V6,M3} { ! perp( X, Y, U, W ), ! perp( U, W, Z, T )
% 5.00/5.49 , para( X, Y, Z, T ) }.
% 5.00/5.49 (26806) {G0,W15,D2,L3,V6,M3} { ! para( X, Y, U, W ), ! perp( U, W, Z, T )
% 5.00/5.49 , perp( X, Y, Z, T ) }.
% 5.00/5.49 (26807) {G0,W8,D2,L2,V3,M2} { ! midp( Z, Y, X ), midp( Z, X, Y ) }.
% 5.00/5.49 (26808) {G0,W15,D2,L3,V4,M3} { ! cong( T, X, T, Y ), ! cong( T, X, T, Z )
% 5.00/5.49 , circle( T, X, Y, Z ) }.
% 5.00/5.49 (26809) {G0,W20,D2,L4,V5,M4} { ! cong( U, X, U, Y ), ! cong( U, X, U, Z )
% 5.00/5.49 , ! cong( U, X, U, T ), cyclic( X, Y, Z, T ) }.
% 5.00/5.49 (26810) {G0,W10,D2,L2,V4,M2} { ! cyclic( X, Y, Z, T ), cyclic( X, Y, T, Z
% 5.00/5.49 ) }.
% 5.00/5.49 (26811) {G0,W10,D2,L2,V4,M2} { ! cyclic( X, Y, Z, T ), cyclic( X, Z, Y, T
% 5.00/5.49 ) }.
% 5.00/5.49 (26812) {G0,W10,D2,L2,V4,M2} { ! cyclic( X, Y, Z, T ), cyclic( Y, X, Z, T
% 5.00/5.49 ) }.
% 5.00/5.49 (26813) {G0,W15,D2,L3,V5,M3} { ! cyclic( U, X, Y, Z ), ! cyclic( U, X, Y,
% 5.00/5.49 T ), cyclic( X, Y, Z, T ) }.
% 5.00/5.49 (26814) {G0,W18,D2,L2,V8,M2} { ! eqangle( X, Y, Z, T, U, W, V0, V1 ),
% 5.00/5.49 eqangle( Y, X, Z, T, U, W, V0, V1 ) }.
% 5.00/5.49 (26815) {G0,W18,D2,L2,V8,M2} { ! eqangle( X, Y, Z, T, U, W, V0, V1 ),
% 5.00/5.49 eqangle( Z, T, X, Y, V0, V1, U, W ) }.
% 5.00/5.49 (26816) {G0,W18,D2,L2,V8,M2} { ! eqangle( X, Y, Z, T, U, W, V0, V1 ),
% 5.00/5.49 eqangle( U, W, V0, V1, X, Y, Z, T ) }.
% 5.00/5.49 (26817) {G0,W18,D2,L2,V8,M2} { ! eqangle( X, Y, Z, T, U, W, V0, V1 ),
% 5.00/5.49 eqangle( X, Y, U, W, Z, T, V0, V1 ) }.
% 5.00/5.49 (26818) {G0,W27,D2,L3,V12,M3} { ! eqangle( X, Y, Z, T, V2, V3, V4, V5 ), !
% 5.00/5.49 eqangle( V2, V3, V4, V5, U, W, V0, V1 ), eqangle( X, Y, Z, T, U, W, V0,
% 5.00/5.49 V1 ) }.
% 5.00/5.49 (26819) {G0,W10,D2,L2,V4,M2} { ! cong( X, Y, Z, T ), cong( X, Y, T, Z )
% 5.00/5.49 }.
% 5.00/5.49 (26820) {G0,W10,D2,L2,V4,M2} { ! cong( X, Y, Z, T ), cong( Z, T, X, Y )
% 5.00/5.49 }.
% 5.00/5.49 (26821) {G0,W15,D2,L3,V6,M3} { ! cong( X, Y, U, W ), ! cong( U, W, Z, T )
% 5.00/5.49 , cong( X, Y, Z, T ) }.
% 5.00/5.49 (26822) {G0,W18,D2,L2,V8,M2} { ! eqratio( X, Y, Z, T, U, W, V0, V1 ),
% 5.00/5.49 eqratio( Y, X, Z, T, U, W, V0, V1 ) }.
% 5.00/5.49 (26823) {G0,W18,D2,L2,V8,M2} { ! eqratio( X, Y, Z, T, U, W, V0, V1 ),
% 5.00/5.49 eqratio( Z, T, X, Y, V0, V1, U, W ) }.
% 5.00/5.49 (26824) {G0,W18,D2,L2,V8,M2} { ! eqratio( X, Y, Z, T, U, W, V0, V1 ),
% 5.00/5.49 eqratio( U, W, V0, V1, X, Y, Z, T ) }.
% 5.00/5.49 (26825) {G0,W18,D2,L2,V8,M2} { ! eqratio( X, Y, Z, T, U, W, V0, V1 ),
% 5.00/5.49 eqratio( X, Y, U, W, Z, T, V0, V1 ) }.
% 5.00/5.49 (26826) {G0,W27,D2,L3,V12,M3} { ! eqratio( X, Y, Z, T, V2, V3, V4, V5 ), !
% 5.00/5.49 eqratio( V2, V3, V4, V5, U, W, V0, V1 ), eqratio( X, Y, Z, T, U, W, V0,
% 5.00/5.49 V1 ) }.
% 5.00/5.49 (26827) {G0,W14,D2,L2,V6,M2} { ! simtri( X, Z, Y, T, W, U ), simtri( X, Y
% 5.00/5.49 , Z, T, U, W ) }.
% 5.00/5.49 (26828) {G0,W14,D2,L2,V6,M2} { ! simtri( Y, X, Z, U, T, W ), simtri( X, Y
% 5.00/5.49 , Z, T, U, W ) }.
% 5.00/5.49 (26829) {G0,W14,D2,L2,V6,M2} { ! simtri( T, U, W, X, Y, Z ), simtri( X, Y
% 5.00/5.49 , Z, T, U, W ) }.
% 5.00/5.49 (26830) {G0,W21,D2,L3,V9,M3} { ! simtri( X, Y, Z, V0, V1, V2 ), ! simtri(
% 5.00/5.49 V0, V1, V2, T, U, W ), simtri( X, Y, Z, T, U, W ) }.
% 5.00/5.49 (26831) {G0,W14,D2,L2,V6,M2} { ! contri( X, Z, Y, T, W, U ), contri( X, Y
% 5.00/5.49 , Z, T, U, W ) }.
% 5.00/5.49 (26832) {G0,W14,D2,L2,V6,M2} { ! contri( Y, X, Z, U, T, W ), contri( X, Y
% 5.00/5.49 , Z, T, U, W ) }.
% 5.00/5.49 (26833) {G0,W14,D2,L2,V6,M2} { ! contri( T, U, W, X, Y, Z ), contri( X, Y
% 5.00/5.49 , Z, T, U, W ) }.
% 5.00/5.49 (26834) {G0,W21,D2,L3,V9,M3} { ! contri( X, Y, Z, V0, V1, V2 ), ! contri(
% 5.00/5.49 V0, V1, V2, T, U, W ), contri( X, Y, Z, T, U, W ) }.
% 5.00/5.49 (26835) {G0,W14,D2,L2,V6,M2} { ! eqangle( X, Y, U, W, Z, T, U, W ), para(
% 5.00/5.49 X, Y, Z, T ) }.
% 5.00/5.49 (26836) {G0,W14,D2,L2,V6,M2} { ! para( X, Y, Z, T ), eqangle( X, Y, U, W,
% 5.00/5.49 Z, T, U, W ) }.
% 5.00/5.49 (26837) {G0,W14,D2,L2,V4,M2} { ! cyclic( X, Y, Z, T ), eqangle( Z, X, Z, Y
% 5.00/5.49 , T, X, T, Y ) }.
% 5.00/5.49 (26838) {G0,W18,D2,L3,V4,M3} { ! eqangle( Z, X, Z, Y, T, X, T, Y ), coll(
% 5.00/5.49 Z, T, X ), cyclic( X, Y, Z, T ) }.
% 5.00/5.49 (26839) {G0,W18,D2,L3,V4,M3} { ! eqangle( Z, X, Z, Y, T, X, T, Y ), ! coll
% 5.00/5.49 ( Z, T, Y ), cyclic( X, Y, Z, T ) }.
% 5.00/5.49 (26840) {G0,W29,D2,L5,V6,M5} { ! cyclic( X, Y, U, Z ), ! cyclic( X, Y, U,
% 5.00/5.49 T ), ! cyclic( X, Y, U, W ), ! eqangle( U, X, U, Y, W, Z, W, T ), cong( X
% 5.00/5.49 , Y, Z, T ) }.
% 5.00/5.49 (26841) {G0,W13,D2,L3,V5,M3} { ! midp( Z, U, X ), ! midp( T, U, Y ), para
% 5.00/5.49 ( Z, T, X, Y ) }.
% 5.00/5.49 (26842) {G0,W17,D2,L4,V5,M4} { ! midp( U, X, T ), ! para( U, Z, T, Y ), !
% 5.00/5.49 coll( Z, X, Y ), midp( Z, X, Y ) }.
% 5.00/5.49 (26843) {G0,W14,D2,L2,V3,M2} { ! cong( Z, X, Z, Y ), eqangle( Z, X, X, Y,
% 5.00/5.49 X, Y, Z, Y ) }.
% 5.00/5.49 (26844) {G0,W18,D2,L3,V3,M3} { ! eqangle( Z, X, X, Y, X, Y, Z, Y ), coll(
% 5.00/5.49 Z, X, Y ), cong( Z, X, Z, Y ) }.
% 5.00/5.49 (26845) {G0,W19,D2,L3,V5,M3} { ! circle( U, X, Y, Z ), ! perp( U, X, X, T
% 5.00/5.49 ), eqangle( X, T, X, Y, Z, X, Z, Y ) }.
% 5.00/5.49 (26846) {G0,W19,D2,L3,V5,M3} { ! circle( Y, X, T, U ), ! eqangle( X, Z, X
% 5.00/5.49 , T, U, X, U, T ), perp( Y, X, X, Z ) }.
% 5.00/5.49 (26847) {G0,W18,D2,L3,V5,M3} { ! circle( T, X, Y, Z ), ! midp( U, Y, Z ),
% 5.00/5.49 eqangle( X, Y, X, Z, T, Y, T, U ) }.
% 5.00/5.49 (26848) {G0,W22,D2,L4,V5,M4} { ! circle( U, T, X, Y ), ! coll( Z, X, Y ),
% 5.00/5.49 ! eqangle( T, X, T, Y, U, X, U, Z ), midp( Z, X, Y ) }.
% 5.00/5.49 (26849) {G0,W14,D2,L3,V4,M3} { ! perp( X, Y, Y, T ), ! midp( Z, X, T ),
% 5.00/5.49 cong( X, Z, Y, Z ) }.
% 5.00/5.49 (26850) {G0,W14,D2,L3,V4,M3} { ! circle( T, X, Y, Z ), ! coll( T, X, Z ),
% 5.00/5.49 perp( X, Y, Y, Z ) }.
% 5.00/5.49 (26851) {G0,W19,D2,L3,V4,M3} { ! cyclic( X, Y, Z, T ), ! para( X, Y, Z, T
% 5.00/5.49 ), eqangle( X, T, Z, T, Z, T, Z, Y ) }.
% 5.00/5.49 (26852) {G0,W14,D2,L3,V4,M3} { ! midp( T, X, Y ), ! perp( Z, T, X, Y ),
% 5.00/5.49 cong( Z, X, Z, Y ) }.
% 5.00/5.49 (26853) {G0,W15,D2,L3,V4,M3} { ! cong( X, Z, Y, Z ), ! cong( X, T, Y, T )
% 5.00/5.49 , perp( X, Y, Z, T ) }.
% 5.00/5.49 (26854) {G0,W20,D2,L4,V4,M4} { ! cong( X, Y, T, Y ), ! cong( X, Z, T, Z )
% 5.00/5.49 , ! cyclic( X, T, Y, Z ), perp( Y, X, X, Z ) }.
% 5.00/5.49 (26855) {G0,W29,D2,L4,V6,M4} { ! eqangle( X, Y, Y, Z, T, U, U, W ), !
% 5.00/5.49 eqangle( X, Z, Y, Z, T, W, U, W ), coll( X, Y, Z ), simtri( X, Y, Z, T, U
% 5.00/5.49 , W ) }.
% 5.00/5.49 (26856) {G0,W16,D2,L2,V6,M2} { ! simtri( X, Y, Z, T, U, W ), eqratio( X, Y
% 5.00/5.49 , X, Z, T, U, T, W ) }.
% 5.00/5.49 (26857) {G0,W16,D2,L2,V6,M2} { ! simtri( X, Y, Z, T, U, W ), eqangle( X, Y
% 5.00/5.49 , Y, Z, T, U, U, W ) }.
% 5.00/5.49 (26858) {G0,W19,D2,L3,V6,M3} { ! simtri( X, Y, Z, T, U, W ), ! cong( X, Y
% 5.00/5.49 , T, U ), contri( X, Y, Z, T, U, W ) }.
% 5.00/5.49 (26859) {G0,W12,D2,L2,V6,M2} { ! contri( X, Y, U, Z, T, W ), cong( X, Y, Z
% 5.00/5.49 , T ) }.
% 5.00/5.49 (26860) {G0,W13,D2,L3,V5,M3} { ! midp( U, X, Y ), ! midp( U, Z, T ), para
% 5.00/5.49 ( X, Z, Y, T ) }.
% 5.00/5.49 (26861) {G0,W18,D2,L4,V5,M4} { ! midp( Z, T, U ), ! para( T, X, U, Y ), !
% 5.00/5.49 para( T, Y, U, X ), midp( Z, X, Y ) }.
% 5.00/5.49 (26862) {G0,W22,D2,L4,V5,M4} { ! para( X, Y, Z, T ), ! coll( U, X, Z ), !
% 5.00/5.49 coll( U, Y, T ), eqratio( U, X, X, Z, U, Y, Y, T ) }.
% 5.00/5.49 (26863) {G0,W9,D2,L2,V3,M2} { ! para( X, Y, X, Z ), coll( X, Y, Z ) }.
% 5.00/5.49 (26864) {G0,W13,D2,L3,V3,M3} { ! cong( X, Y, X, Z ), ! coll( X, Y, Z ),
% 5.00/5.49 midp( X, Y, Z ) }.
% 5.00/5.49 (26865) {G0,W9,D2,L2,V3,M2} { ! midp( X, Y, Z ), cong( X, Y, X, Z ) }.
% 5.00/5.49 (26866) {G0,W8,D2,L2,V3,M2} { ! midp( X, Y, Z ), coll( X, Y, Z ) }.
% 5.00/5.49 (26867) {G0,W17,D2,L3,V6,M3} { ! midp( U, X, Y ), ! midp( W, Z, T ),
% 5.00/5.49 eqratio( U, X, X, Y, W, Z, Z, T ) }.
% 5.00/5.49 (26868) {G0,W19,D2,L3,V4,M3} { ! eqangle( X, Y, Z, T, Z, T, X, Y ), para(
% 5.00/5.49 X, Y, Z, T ), perp( X, Y, Z, T ) }.
% 5.00/5.49 (26869) {G0,W19,D2,L3,V4,M3} { ! eqangle( X, Y, Z, T, Z, T, X, Y ), perp(
% 5.00/5.49 X, Y, Z, T ), para( X, Y, Z, T ) }.
% 5.00/5.49 (26870) {G0,W19,D2,L3,V8,M3} { ! eqangle( X, Y, Z, T, U, W, V0, V1 ), !
% 5.00/5.49 para( U, W, V0, V1 ), para( X, Y, Z, T ) }.
% 5.00/5.49 (26871) {G0,W19,D2,L3,V8,M3} { ! eqangle( X, Y, Z, T, U, W, V0, V1 ), !
% 5.00/5.49 perp( U, W, V0, V1 ), perp( X, Y, Z, T ) }.
% 5.00/5.49 (26872) {G0,W19,D2,L3,V8,M3} { ! eqratio( X, Y, Z, T, U, W, V0, V1 ), !
% 5.00/5.49 cong( U, W, V0, V1 ), cong( X, Y, Z, T ) }.
% 5.00/5.49 (26873) {G0,W22,D3,L3,V6,M3} { ! perp( Z, Y, Y, X ), ! eqangle( T, Z, Y, Z
% 5.00/5.49 , Y, Z, X, Z ), coll( skol1( U, W, Z, T ), Z, T ) }.
% 5.00/5.49 (26874) {G0,W22,D3,L3,V4,M3} { ! perp( Z, Y, Y, X ), ! eqangle( T, Z, Y, Z
% 5.00/5.49 , Y, Z, X, Z ), coll( skol1( X, Y, Z, T ), X, Y ) }.
% 5.00/5.49 (26875) {G0,W22,D3,L3,V6,M3} { ! cong( Z, X, Z, Y ), ! eqangle( X, Z, Z, T
% 5.00/5.49 , Z, T, Z, Y ), coll( skol2( U, W, Z, T ), Z, T ) }.
% 5.00/5.49 (26876) {G0,W22,D3,L3,V4,M3} { ! cong( Z, X, Z, Y ), ! eqangle( X, Z, Z, T
% 5.00/5.49 , Z, T, Z, Y ), coll( Y, X, skol2( X, Y, Z, T ) ) }.
% 5.00/5.49 (26877) {G0,W22,D3,L3,V6,M3} { ! perp( Z, T, X, Y ), ! eqangle( X, Z, Z, T
% 5.00/5.49 , Z, T, Z, Y ), coll( skol3( U, W, Z, T ), Z, T ) }.
% 5.00/5.49 (26878) {G0,W22,D3,L3,V4,M3} { ! perp( Z, T, X, Y ), ! eqangle( X, Z, Z, T
% 5.00/5.49 , Z, T, Z, Y ), coll( Y, X, skol3( X, Y, Z, T ) ) }.
% 5.00/5.49 (26879) {G0,W18,D3,L3,V6,M3} { ! perp( Z, T, X, Y ), ! cong( Z, X, Z, Y )
% 5.00/5.49 , coll( skol4( U, W, Z, T ), Z, T ) }.
% 5.00/5.49 (26880) {G0,W18,D3,L3,V4,M3} { ! perp( Z, T, X, Y ), ! cong( Z, X, Z, Y )
% 5.00/5.49 , coll( Y, X, skol4( X, Y, Z, T ) ) }.
% 5.00/5.49 (26881) {G0,W22,D3,L3,V6,M3} { ! eqangle( X, Z, Y, Z, X, T, Y, U ), coll(
% 5.00/5.49 X, Y, Z ), cyclic( T, Y, Z, skol5( W, Y, Z, T ) ) }.
% 5.00/5.49 (26882) {G0,W30,D3,L3,V5,M3} { ! eqangle( X, Z, Y, Z, X, T, Y, U ), coll(
% 5.00/5.49 X, Y, Z ), eqangle( X, Z, Y, Z, X, skol5( X, Y, Z, T ), Y, skol5( X, Y, Z
% 5.00/5.49 , T ) ) }.
% 5.00/5.49 (26883) {G0,W18,D3,L3,V10,M3} { ! midp( U, X, Y ), ! midp( W, Z, T ), midp
% 5.00/5.49 ( skol6( X, V0, V1, T, V2, V3 ), X, T ) }.
% 5.00/5.49 (26884) {G0,W19,D3,L3,V8,M3} { ! midp( U, X, Y ), ! midp( W, Z, T ), para
% 5.00/5.49 ( skol6( X, V0, Z, T, V1, W ), W, X, Z ) }.
% 5.00/5.49 (26885) {G0,W19,D3,L3,V6,M3} { ! midp( U, X, Y ), ! midp( W, Z, T ), para
% 5.00/5.49 ( skol6( X, Y, Z, T, U, W ), U, Y, T ) }.
% 5.00/5.49 (26886) {G0,W22,D3,L5,V7,M5} { ! midp( Z, X, Y ), ! midp( W, T, U ), !
% 5.00/5.49 coll( T, X, Y ), ! coll( U, X, Y ), midp( skol7( X, V0 ), X, V0 ) }.
% 5.00/5.49 (26887) {G0,W26,D3,L5,V8,M5} { ! midp( T, X, U ), ! para( X, W, Z, T ), !
% 5.00/5.49 para( X, W, U, Y ), ! coll( W, Y, Z ), coll( skol8( V0, V1, Z, T ), T, Z
% 5.00/5.49 ) }.
% 5.00/5.49 (26888) {G0,W26,D3,L5,V6,M5} { ! midp( T, X, U ), ! para( X, W, Z, T ), !
% 5.00/5.49 para( X, W, U, Y ), ! coll( W, Y, Z ), coll( skol8( X, Y, Z, T ), X, Y )
% 5.00/5.49 }.
% 5.00/5.49 (26889) {G0,W19,D3,L3,V7,M3} { ! cong( T, Z, T, U ), ! perp( X, Y, Y, T )
% 5.00/5.49 , cong( T, Z, T, skol9( W, V0, Z, T ) ) }.
% 5.00/5.49 (26890) {G0,W19,D3,L3,V6,M3} { ! cong( T, Z, T, U ), ! perp( X, Y, Y, T )
% 5.00/5.49 , cong( Y, Z, Y, skol9( W, Y, Z, T ) ) }.
% 5.00/5.49 (26891) {G0,W19,D3,L3,V5,M3} { ! cong( T, Z, T, U ), ! perp( X, Y, Y, T )
% 5.00/5.49 , para( skol9( X, Y, Z, T ), Z, X, Y ) }.
% 5.00/5.49 (26892) {G0,W17,D3,L3,V5,M3} { ! perp( X, T, Y, Z ), ! perp( Y, T, X, Z )
% 5.00/5.49 , coll( skol10( U, Y, Z ), Z, Y ) }.
% 5.00/5.49 (26893) {G0,W18,D3,L3,V4,M3} { ! perp( X, T, Y, Z ), ! perp( Y, T, X, Z )
% 5.00/5.49 , perp( X, skol10( X, Y, Z ), Z, Y ) }.
% 5.00/5.49 (26894) {G0,W14,D2,L3,V4,M3} { ! perp( X, T, Y, Z ), ! perp( Y, T, X, Z )
% 5.00/5.49 , alpha1( X, Y, Z ) }.
% 5.00/5.49 (26895) {G0,W11,D3,L2,V4,M2} { ! alpha1( X, Y, Z ), coll( skol11( X, T, Z
% 5.00/5.49 ), Z, X ) }.
% 5.00/5.49 (26896) {G0,W12,D3,L2,V3,M2} { ! alpha1( X, Y, Z ), perp( Y, skol11( X, Y
% 5.00/5.49 , Z ), Z, X ) }.
% 5.00/5.49 (26897) {G0,W13,D2,L3,V4,M3} { ! coll( T, Z, X ), ! perp( Y, T, Z, X ),
% 5.00/5.49 alpha1( X, Y, Z ) }.
% 5.00/5.49 (26898) {G0,W12,D3,L2,V4,M2} { ! circle( Y, X, Z, T ), perp( skol12( X, Y
% 5.00/5.49 ), X, X, Y ) }.
% 5.00/5.49 (26899) {G0,W28,D3,L5,V8,M5} { ! circle( W, X, Y, Z ), ! cong( W, X, W, T
% 5.00/5.49 ), ! cong( U, X, U, Y ), W = U, alpha2( X, Z, U, skol13( X, V0, Z, V1, U
% 5.00/5.49 ) ) }.
% 5.00/5.49 (26900) {G0,W26,D3,L5,V8,M5} { ! circle( W, X, Y, Z ), ! cong( W, X, W, T
% 5.00/5.49 ), ! cong( U, X, U, Y ), W = U, coll( skol21( V0, Y, T, V1 ), Y, T ) }.
% 5.00/5.49 (26901) {G0,W27,D3,L5,V6,M5} { ! circle( W, X, Y, Z ), ! cong( W, X, W, T
% 5.00/5.49 ), ! cong( U, X, U, Y ), W = U, cong( skol21( X, Y, T, U ), U, U, X )
% 5.00/5.49 }.
% 5.00/5.49 (26902) {G0,W9,D2,L2,V4,M2} { ! alpha2( X, Y, Z, T ), coll( T, X, Y ) }.
% 5.00/5.49 (26903) {G0,W10,D2,L2,V4,M2} { ! alpha2( X, Y, Z, T ), cong( T, Z, Z, X )
% 5.00/5.49 }.
% 5.00/5.49 (26904) {G0,W14,D2,L3,V4,M3} { ! coll( T, X, Y ), ! cong( T, Z, Z, X ),
% 5.00/5.49 alpha2( X, Y, Z, T ) }.
% 5.00/5.49 (26905) {G0,W22,D3,L4,V5,M4} { ! cyclic( X, Y, Z, T ), ! para( X, Y, Z, T
% 5.00/5.49 ), ! midp( U, X, Y ), circle( skol14( X, Y, Z ), X, Y, Z ) }.
% 5.00/5.49 (26906) {G0,W18,D3,L3,V4,M3} { ! perp( X, Z, Z, Y ), ! cyclic( X, Y, Z, T
% 5.00/5.49 ), circle( skol15( X, Y, Z ), X, Y, Z ) }.
% 5.00/5.49 (26907) {G0,W16,D3,L3,V6,M3} { ! perp( X, U, U, T ), ! coll( T, Y, Z ),
% 5.00/5.49 coll( skol16( W, Y, Z ), Y, Z ) }.
% 5.00/5.49 (26908) {G0,W17,D3,L3,V5,M3} { ! perp( X, U, U, T ), ! coll( T, Y, Z ),
% 5.00/5.49 perp( skol16( X, Y, Z ), X, Y, Z ) }.
% 5.00/5.49 (26909) {G0,W20,D3,L4,V5,M4} { ! perp( X, Z, X, Y ), ! perp( Y, X, Y, T )
% 5.00/5.49 , ! midp( U, Z, T ), midp( skol17( X, Y ), X, Y ) }.
% 5.00/5.49 (26910) {G0,W16,D3,L3,V3,M3} { ! cong( Y, X, Y, Z ), ! perp( X, Y, Y, Z )
% 5.00/5.49 , coll( X, Y, skol18( X, Y ) ) }.
% 5.00/5.49 (26911) {G0,W17,D3,L3,V3,M3} { ! cong( Y, X, Y, Z ), ! perp( X, Y, Y, Z )
% 5.00/5.49 , cong( Y, X, Y, skol18( X, Y ) ) }.
% 5.00/5.49 (26912) {G0,W25,D3,L5,V8,M5} { ! para( U, W, X, Y ), ! coll( Z, U, X ), !
% 5.00/5.49 coll( Z, W, Y ), ! coll( T, U, W ), coll( Z, T, skol19( V0, V1, Z, T ) )
% 5.00/5.49 }.
% 5.00/5.49 (26913) {G0,W25,D3,L5,V6,M5} { ! para( U, W, X, Y ), ! coll( Z, U, X ), !
% 5.00/5.49 coll( Z, W, Y ), ! coll( T, U, W ), coll( skol19( X, Y, Z, T ), X, Y )
% 5.00/5.49 }.
% 5.00/5.49 (26914) {G0,W5,D2,L1,V0,M1} { perp( skol20, skol26, skol24, skol25 ) }.
% 5.00/5.49 (26915) {G0,W4,D2,L1,V0,M1} { coll( skol20, skol24, skol25 ) }.
% 5.00/5.49 (26916) {G0,W5,D2,L1,V0,M1} { perp( skol25, skol26, skol24, skol27 ) }.
% 5.00/5.49 (26917) {G0,W4,D2,L1,V0,M1} { coll( skol27, skol26, skol20 ) }.
% 5.00/5.49 (26918) {G0,W4,D2,L1,V0,M1} { midp( skol22, skol24, skol27 ) }.
% 5.00/5.49 (26919) {G0,W4,D2,L1,V0,M1} { midp( skol23, skol26, skol25 ) }.
% 5.00/5.49 (26920) {G0,W5,D2,L1,V0,M1} { ! perp( skol20, skol23, skol20, skol22 ) }.
% 5.00/5.49
% 5.00/5.49
% 5.00/5.49 Total Proof:
% 5.00/5.49
% 5.00/5.49 subsumption: (0) {G0,W8,D2,L2,V3,M2} I { ! coll( X, Y, Z ), coll( X, Z, Y )
% 5.00/5.49 }.
% 5.00/5.49 parent0: (26797) {G0,W8,D2,L2,V3,M2} { ! coll( X, Y, Z ), coll( X, Z, Y )
% 5.00/5.49 }.
% 5.00/5.49 substitution0:
% 5.00/5.49 X := X
% 5.00/5.49 Y := Y
% 5.00/5.49 Z := Z
% 5.00/5.49 end
% 5.00/5.49 permutation0:
% 5.00/5.49 0 ==> 0
% 5.00/5.49 1 ==> 1
% 5.00/5.49 end
% 5.00/5.49
% 5.00/5.49 subsumption: (1) {G0,W8,D2,L2,V3,M2} I { ! coll( X, Y, Z ), coll( Y, X, Z )
% 5.00/5.49 }.
% 5.00/5.49 parent0: (26798) {G0,W8,D2,L2,V3,M2} { ! coll( X, Y, Z ), coll( Y, X, Z )
% 5.00/5.49 }.
% 5.00/5.49 substitution0:
% 5.00/5.49 X := X
% 5.00/5.49 Y := Y
% 5.00/5.49 Z := Z
% 5.00/5.49 end
% 5.00/5.49 permutation0:
% 5.00/5.49 0 ==> 0
% 5.00/5.49 1 ==> 1
% 5.00/5.49 end
% 5.00/5.49
% 5.00/5.49 subsumption: (2) {G0,W12,D2,L3,V4,M3} I { ! coll( X, T, Y ), ! coll( X, T,
% 5.00/5.49 Z ), coll( Y, Z, X ) }.
% 5.00/5.49 parent0: (26799) {G0,W12,D2,L3,V4,M3} { ! coll( X, T, Y ), ! coll( X, T, Z
% 5.00/5.49 ), coll( Y, Z, X ) }.
% 5.00/5.49 substitution0:
% 5.00/5.49 X := X
% 5.00/5.49 Y := Y
% 5.00/5.49 Z := Z
% 5.00/5.49 T := T
% 5.00/5.49 end
% 5.00/5.49 permutation0:
% 5.00/5.49 0 ==> 0
% 5.00/5.49 1 ==> 1
% 5.00/5.49 2 ==> 2
% 5.00/5.49 end
% 5.00/5.49
% 5.00/5.49 subsumption: (6) {G0,W10,D2,L2,V4,M2} I { ! perp( X, Y, Z, T ), perp( X, Y
% 5.00/5.49 , T, Z ) }.
% 5.00/5.49 parent0: (26803) {G0,W10,D2,L2,V4,M2} { ! perp( X, Y, Z, T ), perp( X, Y,
% 5.00/5.49 T, Z ) }.
% 5.00/5.49 substitution0:
% 5.00/5.49 X := X
% 5.00/5.49 Y := Y
% 5.00/5.49 Z := Z
% 5.00/5.49 T := T
% 5.00/5.49 end
% 5.00/5.49 permutation0:
% 5.00/5.49 0 ==> 0
% 5.00/5.49 1 ==> 1
% 5.00/5.49 end
% 5.00/5.49
% 5.00/5.49 subsumption: (7) {G0,W10,D2,L2,V4,M2} I { ! perp( X, Y, Z, T ), perp( Z, T
% 5.00/5.49 , X, Y ) }.
% 5.00/5.49 parent0: (26804) {G0,W10,D2,L2,V4,M2} { ! perp( X, Y, Z, T ), perp( Z, T,
% 5.00/5.49 X, Y ) }.
% 5.00/5.49 substitution0:
% 5.00/5.49 X := X
% 5.00/5.49 Y := Y
% 5.00/5.49 Z := Z
% 5.00/5.49 T := T
% 5.00/5.49 end
% 5.00/5.49 permutation0:
% 5.00/5.49 0 ==> 0
% 5.00/5.49 1 ==> 1
% 5.00/5.49 end
% 5.00/5.49
% 5.00/5.49 subsumption: (8) {G0,W15,D2,L3,V6,M3} I { ! perp( X, Y, U, W ), ! perp( U,
% 5.00/5.49 W, Z, T ), para( X, Y, Z, T ) }.
% 5.00/5.49 parent0: (26805) {G0,W15,D2,L3,V6,M3} { ! perp( X, Y, U, W ), ! perp( U, W
% 5.00/5.49 , Z, T ), para( X, Y, Z, T ) }.
% 5.00/5.49 substitution0:
% 5.00/5.49 X := X
% 5.00/5.49 Y := Y
% 5.00/5.49 Z := Z
% 5.00/5.49 T := T
% 5.00/5.49 U := U
% 5.00/5.49 W := W
% 5.00/5.49 end
% 5.00/5.49 permutation0:
% 5.00/5.49 0 ==> 0
% 5.00/5.49 1 ==> 1
% 5.00/5.49 2 ==> 2
% 5.00/5.49 end
% 5.00/5.49
% 5.00/5.49 subsumption: (9) {G0,W15,D2,L3,V6,M3} I { ! para( X, Y, U, W ), ! perp( U,
% 5.00/5.49 W, Z, T ), perp( X, Y, Z, T ) }.
% 5.00/5.49 parent0: (26806) {G0,W15,D2,L3,V6,M3} { ! para( X, Y, U, W ), ! perp( U, W
% 5.00/5.49 , Z, T ), perp( X, Y, Z, T ) }.
% 5.00/5.49 substitution0:
% 5.00/5.49 X := X
% 5.00/5.49 Y := Y
% 5.00/5.49 Z := Z
% 5.00/5.49 T := T
% 5.00/5.49 U := U
% 5.00/5.49 W := W
% 5.00/5.49 end
% 5.00/5.49 permutation0:
% 5.00/5.49 0 ==> 0
% 5.00/5.49 1 ==> 1
% 5.00/5.49 2 ==> 2
% 5.00/5.49 end
% 5.00/5.49
% 5.00/5.49 subsumption: (10) {G0,W8,D2,L2,V3,M2} I { ! midp( Z, Y, X ), midp( Z, X, Y
% 5.00/5.49 ) }.
% 5.00/5.49 parent0: (26807) {G0,W8,D2,L2,V3,M2} { ! midp( Z, Y, X ), midp( Z, X, Y )
% 5.00/5.49 }.
% 5.00/5.49 substitution0:
% 5.00/5.49 X := X
% 5.00/5.49 Y := Y
% 5.00/5.49 Z := Z
% 5.00/5.49 end
% 5.00/5.49 permutation0:
% 5.00/5.49 0 ==> 0
% 5.00/5.49 1 ==> 1
% 5.00/5.49 end
% 5.00/5.49
% 5.00/5.49 subsumption: (11) {G0,W15,D2,L3,V4,M3} I { ! cong( T, X, T, Y ), ! cong( T
% 5.00/5.49 , X, T, Z ), circle( T, X, Y, Z ) }.
% 5.00/5.49 parent0: (26808) {G0,W15,D2,L3,V4,M3} { ! cong( T, X, T, Y ), ! cong( T, X
% 5.00/5.49 , T, Z ), circle( T, X, Y, Z ) }.
% 5.00/5.49 substitution0:
% 5.00/5.49 X := X
% 5.00/5.49 Y := Y
% 5.00/5.49 Z := Z
% 5.00/5.49 T := T
% 5.00/5.49 end
% 5.00/5.49 permutation0:
% 5.00/5.49 0 ==> 0
% 5.00/5.49 1 ==> 1
% 5.00/5.49 2 ==> 2
% 5.00/5.49 end
% 5.00/5.49
% 5.00/5.49 subsumption: (13) {G0,W10,D2,L2,V4,M2} I { ! cyclic( X, Y, Z, T ), cyclic(
% 5.00/5.49 X, Y, T, Z ) }.
% 5.00/5.49 parent0: (26810) {G0,W10,D2,L2,V4,M2} { ! cyclic( X, Y, Z, T ), cyclic( X
% 5.00/5.49 , Y, T, Z ) }.
% 5.00/5.49 substitution0:
% 5.00/5.49 X := X
% 5.00/5.49 Y := Y
% 5.00/5.49 Z := Z
% 5.00/5.49 T := T
% 5.00/5.49 end
% 5.00/5.49 permutation0:
% 5.00/5.49 0 ==> 0
% 5.00/5.49 1 ==> 1
% 5.00/5.49 end
% 5.00/5.49
% 5.00/5.49 subsumption: (14) {G0,W10,D2,L2,V4,M2} I { ! cyclic( X, Y, Z, T ), cyclic(
% 5.00/5.49 X, Z, Y, T ) }.
% 5.00/5.49 parent0: (26811) {G0,W10,D2,L2,V4,M2} { ! cyclic( X, Y, Z, T ), cyclic( X
% 5.00/5.49 , Z, Y, T ) }.
% 5.00/5.49 substitution0:
% 5.00/5.49 X := X
% 5.00/5.49 Y := Y
% 5.00/5.49 Z := Z
% 5.00/5.49 T := T
% 5.00/5.49 end
% 5.00/5.49 permutation0:
% 5.00/5.49 0 ==> 0
% 5.00/5.49 1 ==> 1
% 5.00/5.49 end
% 5.00/5.49
% 5.00/5.49 subsumption: (15) {G0,W10,D2,L2,V4,M2} I { ! cyclic( X, Y, Z, T ), cyclic(
% 5.00/5.49 Y, X, Z, T ) }.
% 5.00/5.49 parent0: (26812) {G0,W10,D2,L2,V4,M2} { ! cyclic( X, Y, Z, T ), cyclic( Y
% 5.00/5.49 , X, Z, T ) }.
% 5.00/5.49 substitution0:
% 5.00/5.49 X := X
% 5.00/5.49 Y := Y
% 5.00/5.49 Z := Z
% 5.00/5.49 T := T
% 5.00/5.49 end
% 5.00/5.49 permutation0:
% 5.00/5.49 0 ==> 0
% 5.00/5.49 1 ==> 1
% 5.00/5.49 end
% 5.00/5.49
% 5.00/5.49 subsumption: (16) {G0,W15,D2,L3,V5,M3} I { ! cyclic( U, X, Y, Z ), ! cyclic
% 5.00/5.49 ( U, X, Y, T ), cyclic( X, Y, Z, T ) }.
% 5.00/5.49 parent0: (26813) {G0,W15,D2,L3,V5,M3} { ! cyclic( U, X, Y, Z ), ! cyclic(
% 5.00/5.49 U, X, Y, T ), cyclic( X, Y, Z, T ) }.
% 5.00/5.49 substitution0:
% 5.00/5.49 X := X
% 5.00/5.49 Y := Y
% 5.00/5.49 Z := Z
% 5.00/5.49 T := T
% 5.00/5.49 U := U
% 5.00/5.49 end
% 5.00/5.49 permutation0:
% 5.00/5.49 0 ==> 0
% 5.00/5.49 1 ==> 1
% 5.00/5.49 2 ==> 2
% 5.00/5.49 end
% 5.00/5.49
% 5.00/5.49 subsumption: (39) {G0,W14,D2,L2,V6,M2} I { ! para( X, Y, Z, T ), eqangle( X
% 5.00/5.49 , Y, U, W, Z, T, U, W ) }.
% 5.00/5.49 parent0: (26836) {G0,W14,D2,L2,V6,M2} { ! para( X, Y, Z, T ), eqangle( X,
% 5.00/5.49 Y, U, W, Z, T, U, W ) }.
% 5.00/5.49 substitution0:
% 5.00/5.49 X := X
% 5.00/5.49 Y := Y
% 5.00/5.49 Z := Z
% 5.00/5.49 T := T
% 5.00/5.49 U := U
% 5.00/5.49 W := W
% 5.00/5.49 end
% 5.00/5.49 permutation0:
% 5.00/5.49 0 ==> 0
% 5.00/5.49 1 ==> 1
% 5.00/5.49 end
% 5.00/5.49
% 5.00/5.49 subsumption: (40) {G0,W14,D2,L2,V4,M2} I { ! cyclic( X, Y, Z, T ), eqangle
% 5.00/5.49 ( Z, X, Z, Y, T, X, T, Y ) }.
% 5.00/5.49 parent0: (26837) {G0,W14,D2,L2,V4,M2} { ! cyclic( X, Y, Z, T ), eqangle( Z
% 5.00/5.49 , X, Z, Y, T, X, T, Y ) }.
% 5.00/5.49 substitution0:
% 5.00/5.49 X := X
% 5.00/5.49 Y := Y
% 5.00/5.49 Z := Z
% 5.00/5.49 T := T
% 5.00/5.49 end
% 5.00/5.49 permutation0:
% 5.00/5.49 0 ==> 0
% 5.00/5.49 1 ==> 1
% 5.00/5.49 end
% 5.00/5.49
% 5.00/5.49 subsumption: (42) {G0,W18,D2,L3,V4,M3} I { ! eqangle( Z, X, Z, Y, T, X, T,
% 5.00/5.49 Y ), ! coll( Z, T, Y ), cyclic( X, Y, Z, T ) }.
% 5.00/5.49 parent0: (26839) {G0,W18,D2,L3,V4,M3} { ! eqangle( Z, X, Z, Y, T, X, T, Y
% 5.00/5.49 ), ! coll( Z, T, Y ), cyclic( X, Y, Z, T ) }.
% 5.00/5.49 substitution0:
% 5.00/5.49 X := X
% 5.00/5.49 Y := Y
% 5.00/5.49 Z := Z
% 5.00/5.49 T := T
% 5.00/5.49 end
% 5.00/5.49 permutation0:
% 5.00/5.49 0 ==> 0
% 5.00/5.49 1 ==> 1
% 5.00/5.49 2 ==> 2
% 5.00/5.49 end
% 5.00/5.49
% 5.00/5.49 subsumption: (43) {G0,W29,D2,L5,V6,M5} I { ! cyclic( X, Y, U, Z ), ! cyclic
% 5.00/5.49 ( X, Y, U, T ), ! cyclic( X, Y, U, W ), ! eqangle( U, X, U, Y, W, Z, W, T
% 5.00/5.49 ), cong( X, Y, Z, T ) }.
% 5.00/5.49 parent0: (26840) {G0,W29,D2,L5,V6,M5} { ! cyclic( X, Y, U, Z ), ! cyclic(
% 5.00/5.49 X, Y, U, T ), ! cyclic( X, Y, U, W ), ! eqangle( U, X, U, Y, W, Z, W, T )
% 5.00/5.49 , cong( X, Y, Z, T ) }.
% 5.00/5.49 substitution0:
% 5.00/5.49 X := X
% 5.00/5.49 Y := Y
% 5.00/5.49 Z := Z
% 5.00/5.49 T := T
% 5.00/5.49 U := U
% 5.00/5.49 W := W
% 5.00/5.49 end
% 5.00/5.49 permutation0:
% 5.00/5.49 0 ==> 0
% 5.00/5.49 1 ==> 1
% 5.00/5.49 2 ==> 2
% 5.00/5.49 3 ==> 3
% 5.00/5.49 4 ==> 4
% 5.00/5.49 end
% 5.00/5.49
% 5.00/5.49 subsumption: (53) {G0,W14,D2,L3,V4,M3} I { ! circle( T, X, Y, Z ), ! coll(
% 5.00/5.49 T, X, Z ), perp( X, Y, Y, Z ) }.
% 5.00/5.49 parent0: (26850) {G0,W14,D2,L3,V4,M3} { ! circle( T, X, Y, Z ), ! coll( T
% 5.00/5.49 , X, Z ), perp( X, Y, Y, Z ) }.
% 5.00/5.49 substitution0:
% 5.00/5.49 X := X
% 5.00/5.49 Y := Y
% 5.00/5.49 Z := Z
% 5.00/5.49 T := T
% 5.00/5.49 end
% 5.00/5.49 permutation0:
% 5.00/5.49 0 ==> 0
% 5.00/5.49 1 ==> 1
% 5.00/5.49 2 ==> 2
% 5.00/5.49 end
% 5.00/5.49
% 5.00/5.49 subsumption: (56) {G0,W15,D2,L3,V4,M3} I { ! cong( X, Z, Y, Z ), ! cong( X
% 5.00/5.49 , T, Y, T ), perp( X, Y, Z, T ) }.
% 5.00/5.49 parent0: (26853) {G0,W15,D2,L3,V4,M3} { ! cong( X, Z, Y, Z ), ! cong( X, T
% 5.00/5.49 , Y, T ), perp( X, Y, Z, T ) }.
% 5.00/5.49 substitution0:
% 5.00/5.49 X := X
% 5.00/5.49 Y := Y
% 5.00/5.49 Z := Z
% 5.00/5.49 T := T
% 5.00/5.49 end
% 5.00/5.49 permutation0:
% 5.00/5.49 0 ==> 0
% 5.00/5.49 1 ==> 1
% 5.00/5.49 2 ==> 2
% 5.00/5.49 end
% 5.00/5.49
% 5.00/5.49 subsumption: (68) {G0,W9,D2,L2,V3,M2} I { ! midp( X, Y, Z ), cong( X, Y, X
% 5.00/5.49 , Z ) }.
% 5.00/5.49 parent0: (26865) {G0,W9,D2,L2,V3,M2} { ! midp( X, Y, Z ), cong( X, Y, X, Z
% 5.00/5.49 ) }.
% 5.00/5.49 substitution0:
% 5.00/5.49 X := X
% 5.00/5.49 Y := Y
% 5.00/5.49 Z := Z
% 5.00/5.49 end
% 5.00/5.49 permutation0:
% 5.00/5.49 0 ==> 0
% 5.00/5.49 1 ==> 1
% 5.00/5.49 end
% 5.00/5.49
% 5.00/5.49 subsumption: (69) {G0,W8,D2,L2,V3,M2} I { ! midp( X, Y, Z ), coll( X, Y, Z
% 5.00/5.49 ) }.
% 5.00/5.49 parent0: (26866) {G0,W8,D2,L2,V3,M2} { ! midp( X, Y, Z ), coll( X, Y, Z )
% 5.00/5.49 }.
% 5.00/5.49 substitution0:
% 5.00/5.49 X := X
% 5.00/5.49 Y := Y
% 5.00/5.49 Z := Z
% 5.00/5.49 end
% 5.00/5.49 permutation0:
% 5.00/5.49 0 ==> 0
% 5.00/5.49 1 ==> 1
% 5.00/5.49 end
% 5.00/5.49
% 5.00/5.49 subsumption: (88) {G0,W22,D3,L5,V7,M5} I { ! midp( Z, X, Y ), ! midp( W, T
% 5.00/5.49 , U ), ! coll( T, X, Y ), ! coll( U, X, Y ), midp( skol7( X, V0 ), X, V0
% 5.00/5.49 ) }.
% 5.00/5.49 parent0: (26886) {G0,W22,D3,L5,V7,M5} { ! midp( Z, X, Y ), ! midp( W, T, U
% 5.00/5.49 ), ! coll( T, X, Y ), ! coll( U, X, Y ), midp( skol7( X, V0 ), X, V0 )
% 5.00/5.49 }.
% 5.00/5.49 substitution0:
% 5.00/5.49 X := X
% 5.00/5.49 Y := Y
% 5.00/5.49 Z := Z
% 5.00/5.49 T := T
% 5.00/5.49 U := U
% 5.00/5.49 W := W
% 5.00/5.49 V0 := V0
% 5.00/5.49 end
% 5.00/5.49 permutation0:
% 5.00/5.49 0 ==> 0
% 5.00/5.49 1 ==> 1
% 5.00/5.49 2 ==> 2
% 5.00/5.49 3 ==> 3
% 5.00/5.49 4 ==> 4
% 5.00/5.49 end
% 5.00/5.49
% 5.00/5.49 subsumption: (100) {G0,W12,D3,L2,V4,M2} I { ! circle( Y, X, Z, T ), perp(
% 5.00/5.49 skol12( X, Y ), X, X, Y ) }.
% 5.00/5.49 parent0: (26898) {G0,W12,D3,L2,V4,M2} { ! circle( Y, X, Z, T ), perp(
% 5.00/5.49 skol12( X, Y ), X, X, Y ) }.
% 5.00/5.49 substitution0:
% 5.00/5.49 X := X
% 5.00/5.49 Y := Y
% 5.00/5.49 Z := Z
% 5.00/5.49 T := T
% 5.00/5.49 end
% 5.00/5.49 permutation0:
% 5.00/5.49 0 ==> 0
% 5.00/5.49 1 ==> 1
% 5.00/5.49 end
% 5.00/5.49
% 5.00/5.49 subsumption: (110) {G0,W17,D3,L3,V5,M3} I { ! perp( X, U, U, T ), ! coll( T
% 5.00/5.49 , Y, Z ), perp( skol16( X, Y, Z ), X, Y, Z ) }.
% 5.00/5.49 parent0: (26908) {G0,W17,D3,L3,V5,M3} { ! perp( X, U, U, T ), ! coll( T, Y
% 5.00/5.49 , Z ), perp( skol16( X, Y, Z ), X, Y, Z ) }.
% 5.00/5.49 substitution0:
% 5.00/5.49 X := X
% 5.00/5.49 Y := Y
% 5.00/5.49 Z := Z
% 5.00/5.49 T := T
% 5.00/5.49 U := U
% 5.00/5.49 end
% 5.00/5.49 permutation0:
% 5.00/5.49 0 ==> 0
% 5.00/5.49 1 ==> 1
% 5.00/5.49 2 ==> 2
% 5.00/5.49 end
% 5.00/5.49
% 5.00/5.49 subsumption: (120) {G0,W4,D2,L1,V0,M1} I { midp( skol22, skol24, skol27 )
% 5.00/5.49 }.
% 5.00/5.49 parent0: (26918) {G0,W4,D2,L1,V0,M1} { midp( skol22, skol24, skol27 ) }.
% 5.00/5.49 substitution0:
% 5.00/5.49 end
% 5.00/5.49 permutation0:
% 5.00/5.49 0 ==> 0
% 5.00/5.49 end
% 5.00/5.49
% 5.00/5.49 subsumption: (121) {G0,W4,D2,L1,V0,M1} I { midp( skol23, skol26, skol25 )
% 5.00/5.49 }.
% 5.00/5.49 parent0: (26919) {G0,W4,D2,L1,V0,M1} { midp( skol23, skol26, skol25 ) }.
% 5.00/5.49 substitution0:
% 5.00/5.49 end
% 5.00/5.49 permutation0:
% 5.00/5.49 0 ==> 0
% 5.00/5.49 end
% 5.00/5.49
% 5.00/5.49 subsumption: (122) {G0,W5,D2,L1,V0,M1} I { ! perp( skol20, skol23, skol20,
% 5.00/5.49 skol22 ) }.
% 5.00/5.49 parent0: (26920) {G0,W5,D2,L1,V0,M1} { ! perp( skol20, skol23, skol20,
% 5.00/5.49 skol22 ) }.
% 5.00/5.49 substitution0:
% 5.00/5.49 end
% 5.00/5.49 permutation0:
% 5.00/5.49 0 ==> 0
% 5.00/5.49 end
% 5.00/5.49
% 5.00/5.49 factor: (27389) {G0,W10,D2,L2,V3,M2} { ! cong( X, Y, X, Z ), circle( X, Y
% 5.00/5.49 , Z, Z ) }.
% 5.00/5.49 parent0[0, 1]: (11) {G0,W15,D2,L3,V4,M3} I { ! cong( T, X, T, Y ), ! cong(
% 5.00/5.49 T, X, T, Z ), circle( T, X, Y, Z ) }.
% 5.00/5.49 substitution0:
% 5.00/5.49 X := Y
% 5.00/5.49 Y := Z
% 5.00/5.49 Z := Z
% 5.00/5.49 T := X
% 5.00/5.49 end
% 5.00/5.49
% 5.00/5.49 subsumption: (125) {G1,W10,D2,L2,V3,M2} F(11) { ! cong( X, Y, X, Z ),
% 5.00/5.49 circle( X, Y, Z, Z ) }.
% 5.00/5.49 parent0: (27389) {G0,W10,D2,L2,V3,M2} { ! cong( X, Y, X, Z ), circle( X, Y
% 5.00/5.49 , Z, Z ) }.
% 5.00/5.49 substitution0:
% 5.00/5.49 X := X
% 5.00/5.49 Y := Y
% 5.00/5.49 Z := Z
% 5.00/5.49 end
% 5.00/5.49 permutation0:
% 5.00/5.49 0 ==> 0
% 5.00/5.49 1 ==> 1
% 5.00/5.49 end
% 5.00/5.49
% 5.00/5.49 factor: (27390) {G0,W18,D3,L4,V4,M4} { ! midp( X, Y, Z ), ! coll( Y, Y, Z
% 5.00/5.49 ), ! coll( Z, Y, Z ), midp( skol7( Y, T ), Y, T ) }.
% 5.00/5.49 parent0[0, 1]: (88) {G0,W22,D3,L5,V7,M5} I { ! midp( Z, X, Y ), ! midp( W,
% 5.00/5.49 T, U ), ! coll( T, X, Y ), ! coll( U, X, Y ), midp( skol7( X, V0 ), X, V0
% 5.00/5.49 ) }.
% 5.00/5.49 substitution0:
% 5.00/5.49 X := Y
% 5.00/5.49 Y := Z
% 5.00/5.49 Z := X
% 5.00/5.49 T := Y
% 5.00/5.49 U := Z
% 5.00/5.49 W := X
% 5.00/5.49 V0 := T
% 5.00/5.49 end
% 5.00/5.49
% 5.00/5.49 subsumption: (145) {G1,W18,D3,L4,V4,M4} F(88) { ! midp( X, Y, Z ), ! coll(
% 5.00/5.49 Y, Y, Z ), ! coll( Z, Y, Z ), midp( skol7( Y, T ), Y, T ) }.
% 5.00/5.49 parent0: (27390) {G0,W18,D3,L4,V4,M4} { ! midp( X, Y, Z ), ! coll( Y, Y, Z
% 5.00/5.49 ), ! coll( Z, Y, Z ), midp( skol7( Y, T ), Y, T ) }.
% 5.00/5.49 substitution0:
% 5.00/5.49 X := X
% 5.00/5.49 Y := Y
% 5.00/5.49 Z := Z
% 5.00/5.49 T := T
% 5.00/5.49 end
% 5.00/5.49 permutation0:
% 5.00/5.49 0 ==> 0
% 5.00/5.49 1 ==> 1
% 5.00/5.49 2 ==> 2
% 5.00/5.49 3 ==> 3
% 5.00/5.49 end
% 5.00/5.49
% 5.00/5.49 resolution: (27393) {G1,W8,D2,L2,V3,M2} { coll( Y, X, Z ), ! coll( X, Z, Y
% 5.00/5.49 ) }.
% 5.00/5.49 parent0[0]: (1) {G0,W8,D2,L2,V3,M2} I { ! coll( X, Y, Z ), coll( Y, X, Z )
% 5.00/5.49 }.
% 5.00/5.49 parent1[1]: (0) {G0,W8,D2,L2,V3,M2} I { ! coll( X, Y, Z ), coll( X, Z, Y )
% 5.00/5.49 }.
% 5.00/5.49 substitution0:
% 5.00/5.49 X := X
% 5.00/5.49 Y := Y
% 5.00/5.49 Z := Z
% 5.00/5.49 end
% 5.00/5.49 substitution1:
% 5.00/5.49 X := X
% 5.00/5.49 Y := Z
% 5.00/5.49 Z := Y
% 5.00/5.49 end
% 5.00/5.49
% 5.00/5.49 subsumption: (164) {G1,W8,D2,L2,V3,M2} R(1,0) { coll( X, Y, Z ), ! coll( Y
% 5.00/5.49 , Z, X ) }.
% 5.00/5.49 parent0: (27393) {G1,W8,D2,L2,V3,M2} { coll( Y, X, Z ), ! coll( X, Z, Y )
% 5.00/5.49 }.
% 5.00/5.49 substitution0:
% 5.00/5.49 X := Y
% 5.00/5.49 Y := X
% 5.00/5.49 Z := Z
% 5.00/5.49 end
% 5.00/5.49 permutation0:
% 5.00/5.49 0 ==> 0
% 5.00/5.49 1 ==> 1
% 5.00/5.49 end
% 5.00/5.49
% 5.00/5.49 resolution: (27395) {G1,W8,D2,L2,V3,M2} { coll( X, Z, Y ), ! coll( Y, X, Z
% 5.00/5.49 ) }.
% 5.00/5.49 parent0[0]: (0) {G0,W8,D2,L2,V3,M2} I { ! coll( X, Y, Z ), coll( X, Z, Y )
% 5.00/5.49 }.
% 5.00/5.49 parent1[1]: (1) {G0,W8,D2,L2,V3,M2} I { ! coll( X, Y, Z ), coll( Y, X, Z )
% 5.00/5.49 }.
% 5.00/5.49 substitution0:
% 5.00/5.49 X := X
% 5.00/5.49 Y := Y
% 5.00/5.49 Z := Z
% 5.00/5.49 end
% 5.00/5.49 substitution1:
% 5.00/5.49 X := Y
% 5.00/5.49 Y := X
% 5.00/5.49 Z := Z
% 5.00/5.49 end
% 5.00/5.49
% 5.00/5.49 subsumption: (165) {G1,W8,D2,L2,V3,M2} R(1,0) { ! coll( X, Y, Z ), coll( Y
% 5.00/5.49 , Z, X ) }.
% 5.00/5.49 parent0: (27395) {G1,W8,D2,L2,V3,M2} { coll( X, Z, Y ), ! coll( Y, X, Z )
% 5.00/5.49 }.
% 5.00/5.49 substitution0:
% 5.00/5.49 X := Y
% 5.00/5.49 Y := X
% 5.00/5.49 Z := Z
% 5.00/5.49 end
% 5.00/5.49 permutation0:
% 5.00/5.49 0 ==> 1
% 5.00/5.49 1 ==> 0
% 5.00/5.49 end
% 5.00/5.49
% 5.00/5.49 resolution: (27399) {G1,W12,D2,L3,V4,M3} { coll( X, Z, Y ), ! coll( Z, T,
% 5.00/5.49 X ), ! coll( Z, T, Y ) }.
% 5.00/5.49 parent0[0]: (0) {G0,W8,D2,L2,V3,M2} I { ! coll( X, Y, Z ), coll( X, Z, Y )
% 5.00/5.49 }.
% 5.00/5.49 parent1[2]: (2) {G0,W12,D2,L3,V4,M3} I { ! coll( X, T, Y ), ! coll( X, T, Z
% 5.00/5.49 ), coll( Y, Z, X ) }.
% 5.00/5.49 substitution0:
% 5.00/5.49 X := X
% 5.00/5.49 Y := Y
% 5.00/5.49 Z := Z
% 5.00/5.49 end
% 5.00/5.49 substitution1:
% 5.00/5.49 X := Z
% 5.00/5.49 Y := X
% 5.00/5.49 Z := Y
% 5.00/5.49 T := T
% 5.00/5.49 end
% 5.00/5.49
% 5.00/5.49 subsumption: (189) {G1,W12,D2,L3,V4,M3} R(2,0) { ! coll( X, Y, Z ), ! coll
% 5.00/5.49 ( X, Y, T ), coll( Z, X, T ) }.
% 5.00/5.49 parent0: (27399) {G1,W12,D2,L3,V4,M3} { coll( X, Z, Y ), ! coll( Z, T, X )
% 5.00/5.49 , ! coll( Z, T, Y ) }.
% 5.00/5.49 substitution0:
% 5.00/5.49 X := Z
% 5.00/5.49 Y := T
% 5.00/5.49 Z := X
% 5.00/5.49 T := Y
% 5.00/5.49 end
% 5.00/5.49 permutation0:
% 5.00/5.49 0 ==> 2
% 5.00/5.49 1 ==> 0
% 5.00/5.49 2 ==> 1
% 5.00/5.49 end
% 5.00/5.49
% 5.00/5.49 factor: (27401) {G1,W8,D2,L2,V3,M2} { ! coll( X, Y, Z ), coll( Z, X, Z )
% 5.00/5.49 }.
% 5.00/5.49 parent0[0, 1]: (189) {G1,W12,D2,L3,V4,M3} R(2,0) { ! coll( X, Y, Z ), !
% 5.00/5.49 coll( X, Y, T ), coll( Z, X, T ) }.
% 5.00/5.49 substitution0:
% 5.00/5.49 X := X
% 5.00/5.49 Y := Y
% 5.00/5.49 Z := Z
% 5.00/5.49 T := Z
% 5.00/5.49 end
% 5.00/5.49
% 5.00/5.49 subsumption: (194) {G2,W8,D2,L2,V3,M2} F(189) { ! coll( X, Y, Z ), coll( Z
% 5.00/5.49 , X, Z ) }.
% 5.00/5.49 parent0: (27401) {G1,W8,D2,L2,V3,M2} { ! coll( X, Y, Z ), coll( Z, X, Z )
% 5.00/5.49 }.
% 5.00/5.49 substitution0:
% 5.00/5.49 X := X
% 5.00/5.49 Y := Y
% 5.00/5.49 Z := Z
% 5.00/5.49 end
% 5.00/5.49 permutation0:
% 5.00/5.49 0 ==> 0
% 5.00/5.49 1 ==> 1
% 5.00/5.49 end
% 5.00/5.49
% 5.00/5.49 resolution: (27402) {G1,W12,D2,L3,V4,M3} { coll( Z, X, Z ), ! coll( Z, T,
% 5.00/5.49 X ), ! coll( Z, T, Y ) }.
% 5.00/5.49 parent0[0]: (194) {G2,W8,D2,L2,V3,M2} F(189) { ! coll( X, Y, Z ), coll( Z,
% 5.00/5.49 X, Z ) }.
% 5.00/5.49 parent1[2]: (2) {G0,W12,D2,L3,V4,M3} I { ! coll( X, T, Y ), ! coll( X, T, Z
% 5.00/5.49 ), coll( Y, Z, X ) }.
% 5.00/5.49 substitution0:
% 5.00/5.49 X := X
% 5.00/5.49 Y := Y
% 5.00/5.49 Z := Z
% 5.00/5.49 end
% 5.00/5.49 substitution1:
% 5.00/5.49 X := Z
% 5.00/5.49 Y := X
% 5.00/5.49 Z := Y
% 5.00/5.49 T := T
% 5.00/5.49 end
% 5.00/5.49
% 5.00/5.49 subsumption: (211) {G3,W12,D2,L3,V4,M3} R(194,2) { coll( X, Y, X ), ! coll
% 5.00/5.49 ( X, Z, Y ), ! coll( X, Z, T ) }.
% 5.00/5.49 parent0: (27402) {G1,W12,D2,L3,V4,M3} { coll( Z, X, Z ), ! coll( Z, T, X )
% 5.00/5.49 , ! coll( Z, T, Y ) }.
% 5.00/5.49 substitution0:
% 5.00/5.49 X := Y
% 5.00/5.49 Y := Y
% 5.00/5.49 Z := X
% 5.00/5.49 T := Z
% 5.00/5.49 end
% 5.00/5.49 permutation0:
% 5.00/5.49 0 ==> 0
% 5.00/5.49 1 ==> 1
% 5.00/5.49 2 ==> 1
% 5.00/5.49 end
% 5.00/5.49
% 5.00/5.49 factor: (27404) {G3,W8,D2,L2,V3,M2} { coll( X, Y, X ), ! coll( X, Z, Y )
% 5.00/5.49 }.
% 5.00/5.49 parent0[1, 2]: (211) {G3,W12,D2,L3,V4,M3} R(194,2) { coll( X, Y, X ), !
% 5.00/5.49 coll( X, Z, Y ), ! coll( X, Z, T ) }.
% 5.00/5.49 substitution0:
% 5.00/5.49 X := X
% 5.00/5.49 Y := Y
% 5.00/5.49 Z := Z
% 5.00/5.49 T := Y
% 5.00/5.49 end
% 5.00/5.49
% 5.00/5.49 subsumption: (224) {G4,W8,D2,L2,V3,M2} F(211) { coll( X, Y, X ), ! coll( X
% 5.00/5.49 , Z, Y ) }.
% 5.00/5.49 parent0: (27404) {G3,W8,D2,L2,V3,M2} { coll( X, Y, X ), ! coll( X, Z, Y )
% 5.00/5.49 }.
% 5.00/5.49 substitution0:
% 5.00/5.49 X := X
% 5.00/5.49 Y := Y
% 5.00/5.49 Z := Z
% 5.00/5.49 end
% 5.00/5.49 permutation0:
% 5.00/5.49 0 ==> 0
% 5.00/5.49 1 ==> 1
% 5.00/5.49 end
% 5.00/5.49
% 5.00/5.49 resolution: (27405) {G1,W10,D2,L2,V4,M2} { perp( Z, T, X, Y ), ! perp( X,
% 5.00/5.49 Y, T, Z ) }.
% 5.00/5.49 parent0[0]: (7) {G0,W10,D2,L2,V4,M2} I { ! perp( X, Y, Z, T ), perp( Z, T,
% 5.00/5.49 X, Y ) }.
% 5.00/5.49 parent1[1]: (6) {G0,W10,D2,L2,V4,M2} I { ! perp( X, Y, Z, T ), perp( X, Y,
% 5.00/5.49 T, Z ) }.
% 5.00/5.49 substitution0:
% 5.00/5.49 X := X
% 5.00/5.49 Y := Y
% 5.00/5.49 Z := Z
% 5.00/5.49 T := T
% 5.00/5.49 end
% 5.00/5.49 substitution1:
% 5.00/5.49 X := X
% 5.00/5.49 Y := Y
% 5.00/5.49 Z := T
% 5.00/5.49 T := Z
% 5.00/5.49 end
% 5.00/5.49
% 5.00/5.49 subsumption: (268) {G1,W10,D2,L2,V4,M2} R(7,6) { perp( X, Y, Z, T ), ! perp
% 5.00/5.49 ( Z, T, Y, X ) }.
% 5.00/5.49 parent0: (27405) {G1,W10,D2,L2,V4,M2} { perp( Z, T, X, Y ), ! perp( X, Y,
% 5.00/5.49 T, Z ) }.
% 5.00/5.49 substitution0:
% 5.00/5.49 X := Z
% 5.00/5.49 Y := T
% 5.00/5.49 Z := X
% 5.00/5.49 T := Y
% 5.00/5.49 end
% 5.00/5.49 permutation0:
% 5.00/5.49 0 ==> 0
% 5.00/5.49 1 ==> 1
% 5.00/5.49 end
% 5.00/5.49
% 5.00/5.49 resolution: (27406) {G1,W15,D2,L3,V6,M3} { ! perp( Z, T, U, W ), para( X,
% 5.00/5.49 Y, U, W ), ! perp( Z, T, X, Y ) }.
% 5.00/5.49 parent0[0]: (8) {G0,W15,D2,L3,V6,M3} I { ! perp( X, Y, U, W ), ! perp( U, W
% 5.00/5.49 , Z, T ), para( X, Y, Z, T ) }.
% 5.00/5.49 parent1[1]: (7) {G0,W10,D2,L2,V4,M2} I { ! perp( X, Y, Z, T ), perp( Z, T,
% 5.00/5.49 X, Y ) }.
% 5.00/5.49 substitution0:
% 5.00/5.49 X := X
% 5.00/5.49 Y := Y
% 5.00/5.49 Z := U
% 5.00/5.49 T := W
% 5.00/5.49 U := Z
% 5.00/5.49 W := T
% 5.00/5.49 end
% 5.00/5.49 substitution1:
% 5.00/5.49 X := Z
% 5.00/5.49 Y := T
% 5.00/5.49 Z := X
% 5.00/5.49 T := Y
% 5.00/5.49 end
% 5.00/5.49
% 5.00/5.49 subsumption: (280) {G1,W15,D2,L3,V6,M3} R(8,7) { ! perp( X, Y, Z, T ), para
% 5.00/5.49 ( U, W, Z, T ), ! perp( X, Y, U, W ) }.
% 5.00/5.49 parent0: (27406) {G1,W15,D2,L3,V6,M3} { ! perp( Z, T, U, W ), para( X, Y,
% 5.00/5.49 U, W ), ! perp( Z, T, X, Y ) }.
% 5.00/5.49 substitution0:
% 5.00/5.49 X := U
% 5.00/5.49 Y := W
% 5.00/5.49 Z := X
% 5.00/5.49 T := Y
% 5.00/5.49 U := Z
% 5.00/5.49 W := T
% 5.00/5.49 end
% 5.00/5.49 permutation0:
% 5.00/5.49 0 ==> 0
% 5.00/5.49 1 ==> 1
% 5.00/5.49 2 ==> 2
% 5.00/5.49 end
% 5.00/5.49
% 5.00/5.49 resolution: (27411) {G1,W15,D2,L3,V6,M3} { ! perp( X, Y, Z, T ), para( X,
% 5.00/5.49 Y, U, W ), ! perp( U, W, Z, T ) }.
% 5.00/5.49 parent0[1]: (8) {G0,W15,D2,L3,V6,M3} I { ! perp( X, Y, U, W ), ! perp( U, W
% 5.00/5.49 , Z, T ), para( X, Y, Z, T ) }.
% 5.00/5.49 parent1[1]: (7) {G0,W10,D2,L2,V4,M2} I { ! perp( X, Y, Z, T ), perp( Z, T,
% 5.00/5.49 X, Y ) }.
% 5.00/5.49 substitution0:
% 5.00/5.49 X := X
% 5.00/5.49 Y := Y
% 5.00/5.49 Z := U
% 5.00/5.49 T := W
% 5.00/5.49 U := Z
% 5.00/5.49 W := T
% 5.00/5.49 end
% 5.00/5.49 substitution1:
% 5.00/5.49 X := U
% 5.00/5.49 Y := W
% 5.00/5.49 Z := Z
% 5.00/5.49 T := T
% 5.00/5.49 end
% 5.00/5.49
% 5.00/5.49 subsumption: (281) {G1,W15,D2,L3,V6,M3} R(8,7) { ! perp( X, Y, Z, T ), para
% 5.00/5.49 ( X, Y, U, W ), ! perp( U, W, Z, T ) }.
% 5.00/5.49 parent0: (27411) {G1,W15,D2,L3,V6,M3} { ! perp( X, Y, Z, T ), para( X, Y,
% 5.00/5.49 U, W ), ! perp( U, W, Z, T ) }.
% 5.00/5.49 substitution0:
% 5.00/5.49 X := X
% 5.00/5.49 Y := Y
% 5.00/5.49 Z := Z
% 5.00/5.49 T := T
% 5.00/5.49 U := U
% 5.00/5.49 W := W
% 5.00/5.49 end
% 5.00/5.49 permutation0:
% 5.00/5.49 0 ==> 0
% 5.00/5.49 1 ==> 1
% 5.00/5.49 2 ==> 2
% 5.00/5.49 end
% 5.00/5.49
% 5.00/5.49 factor: (27414) {G1,W10,D2,L2,V4,M2} { ! perp( X, Y, Z, T ), para( X, Y, X
% 5.00/5.49 , Y ) }.
% 5.00/5.49 parent0[0, 2]: (281) {G1,W15,D2,L3,V6,M3} R(8,7) { ! perp( X, Y, Z, T ),
% 5.00/5.49 para( X, Y, U, W ), ! perp( U, W, Z, T ) }.
% 5.00/5.49 substitution0:
% 5.00/5.49 X := X
% 5.00/5.49 Y := Y
% 5.00/5.49 Z := Z
% 5.00/5.49 T := T
% 5.00/5.49 U := X
% 5.00/5.49 W := Y
% 5.00/5.49 end
% 5.00/5.49
% 5.00/5.49 subsumption: (293) {G2,W10,D2,L2,V4,M2} F(281) { ! perp( X, Y, Z, T ), para
% 5.00/5.49 ( X, Y, X, Y ) }.
% 5.00/5.49 parent0: (27414) {G1,W10,D2,L2,V4,M2} { ! perp( X, Y, Z, T ), para( X, Y,
% 5.00/5.49 X, Y ) }.
% 5.00/5.49 substitution0:
% 5.00/5.49 X := X
% 5.00/5.49 Y := Y
% 5.00/5.49 Z := Z
% 5.00/5.49 T := T
% 5.00/5.49 end
% 5.00/5.49 permutation0:
% 5.00/5.49 0 ==> 0
% 5.00/5.49 1 ==> 1
% 5.00/5.49 end
% 5.00/5.49
% 5.00/5.49 resolution: (27415) {G1,W10,D2,L2,V2,M2} { ! para( skol20, skol23, X, Y )
% 5.00/5.49 , ! perp( X, Y, skol20, skol22 ) }.
% 5.00/5.49 parent0[0]: (122) {G0,W5,D2,L1,V0,M1} I { ! perp( skol20, skol23, skol20,
% 5.00/5.49 skol22 ) }.
% 5.00/5.49 parent1[2]: (9) {G0,W15,D2,L3,V6,M3} I { ! para( X, Y, U, W ), ! perp( U, W
% 5.00/5.49 , Z, T ), perp( X, Y, Z, T ) }.
% 5.00/5.49 substitution0:
% 5.00/5.49 end
% 5.00/5.49 substitution1:
% 5.00/5.49 X := skol20
% 5.00/5.49 Y := skol23
% 5.00/5.49 Z := skol20
% 5.00/5.49 T := skol22
% 5.00/5.49 U := X
% 5.00/5.49 W := Y
% 5.00/5.49 end
% 5.00/5.49
% 5.00/5.49 subsumption: (311) {G1,W10,D2,L2,V2,M2} R(9,122) { ! para( skol20, skol23,
% 5.00/5.49 X, Y ), ! perp( X, Y, skol20, skol22 ) }.
% 5.00/5.49 parent0: (27415) {G1,W10,D2,L2,V2,M2} { ! para( skol20, skol23, X, Y ), !
% 5.00/5.49 perp( X, Y, skol20, skol22 ) }.
% 5.00/5.49 substitution0:
% 5.00/5.49 X := X
% 5.00/5.49 Y := Y
% 5.00/5.49 end
% 5.00/5.49 permutation0:
% 5.00/5.49 0 ==> 0
% 5.00/5.49 1 ==> 1
% 5.00/5.49 end
% 5.00/5.49
% 5.00/5.49 resolution: (27416) {G1,W4,D2,L1,V0,M1} { midp( skol22, skol27, skol24 )
% 5.00/5.49 }.
% 5.00/5.49 parent0[0]: (10) {G0,W8,D2,L2,V3,M2} I { ! midp( Z, Y, X ), midp( Z, X, Y )
% 5.00/5.49 }.
% 5.00/5.49 parent1[0]: (120) {G0,W4,D2,L1,V0,M1} I { midp( skol22, skol24, skol27 )
% 5.00/5.49 }.
% 5.00/5.49 substitution0:
% 5.00/5.49 X := skol27
% 5.00/5.49 Y := skol24
% 5.00/5.49 Z := skol22
% 5.00/5.49 end
% 5.00/5.49 substitution1:
% 5.00/5.49 end
% 5.00/5.49
% 5.00/5.49 subsumption: (319) {G1,W4,D2,L1,V0,M1} R(10,120) { midp( skol22, skol27,
% 5.00/5.49 skol24 ) }.
% 5.00/5.49 parent0: (27416) {G1,W4,D2,L1,V0,M1} { midp( skol22, skol27, skol24 ) }.
% 5.00/5.49 substitution0:
% 5.00/5.49 end
% 5.00/5.49 permutation0:
% 5.00/5.49 0 ==> 0
% 5.00/5.49 end
% 5.00/5.49
% 5.00/5.49 resolution: (27417) {G1,W4,D2,L1,V0,M1} { midp( skol23, skol25, skol26 )
% 5.00/5.49 }.
% 5.00/5.49 parent0[0]: (10) {G0,W8,D2,L2,V3,M2} I { ! midp( Z, Y, X ), midp( Z, X, Y )
% 5.00/5.49 }.
% 5.00/5.49 parent1[0]: (121) {G0,W4,D2,L1,V0,M1} I { midp( skol23, skol26, skol25 )
% 5.00/5.49 }.
% 5.00/5.49 substitution0:
% 5.00/5.49 X := skol25
% 5.00/5.49 Y := skol26
% 5.00/5.49 Z := skol23
% 5.00/5.49 end
% 5.00/5.49 substitution1:
% 5.00/5.49 end
% 5.00/5.49
% 5.00/5.49 subsumption: (320) {G1,W4,D2,L1,V0,M1} R(10,121) { midp( skol23, skol25,
% 5.00/5.49 skol26 ) }.
% 5.00/5.49 parent0: (27417) {G1,W4,D2,L1,V0,M1} { midp( skol23, skol25, skol26 ) }.
% 5.00/5.49 substitution0:
% 5.00/5.49 end
% 5.00/5.49 permutation0:
% 5.00/5.49 0 ==> 0
% 5.00/5.49 end
% 5.00/5.49
% 5.00/5.49 resolution: (27419) {G1,W10,D2,L2,V4,M2} { cyclic( X, Y, T, Z ), ! cyclic
% 5.00/5.49 ( X, Z, Y, T ) }.
% 5.00/5.49 parent0[0]: (13) {G0,W10,D2,L2,V4,M2} I { ! cyclic( X, Y, Z, T ), cyclic( X
% 5.00/5.49 , Y, T, Z ) }.
% 5.00/5.49 parent1[1]: (14) {G0,W10,D2,L2,V4,M2} I { ! cyclic( X, Y, Z, T ), cyclic( X
% 5.00/5.49 , Z, Y, T ) }.
% 5.00/5.49 substitution0:
% 5.00/5.49 X := X
% 5.00/5.49 Y := Y
% 5.00/5.49 Z := Z
% 5.00/5.49 T := T
% 5.00/5.49 end
% 5.00/5.49 substitution1:
% 5.00/5.49 X := X
% 5.00/5.49 Y := Z
% 5.00/5.49 Z := Y
% 5.00/5.49 T := T
% 5.00/5.49 end
% 5.00/5.49
% 5.00/5.49 subsumption: (349) {G1,W10,D2,L2,V4,M2} R(14,13) { ! cyclic( X, Y, Z, T ),
% 5.00/5.49 cyclic( X, Z, T, Y ) }.
% 5.00/5.49 parent0: (27419) {G1,W10,D2,L2,V4,M2} { cyclic( X, Y, T, Z ), ! cyclic( X
% 5.00/5.49 , Z, Y, T ) }.
% 5.00/5.49 substitution0:
% 5.00/5.49 X := X
% 5.00/5.49 Y := Z
% 5.00/5.49 Z := Y
% 5.00/5.49 T := T
% 5.00/5.49 end
% 5.00/5.49 permutation0:
% 5.00/5.49 0 ==> 1
% 5.00/5.49 1 ==> 0
% 5.00/5.49 end
% 5.00/5.49
% 5.00/5.49 resolution: (27421) {G1,W10,D2,L2,V4,M2} { cyclic( X, Z, Y, T ), ! cyclic
% 5.00/5.49 ( Y, X, Z, T ) }.
% 5.00/5.49 parent0[0]: (14) {G0,W10,D2,L2,V4,M2} I { ! cyclic( X, Y, Z, T ), cyclic( X
% 5.00/5.49 , Z, Y, T ) }.
% 5.00/5.49 parent1[1]: (15) {G0,W10,D2,L2,V4,M2} I { ! cyclic( X, Y, Z, T ), cyclic( Y
% 5.00/5.49 , X, Z, T ) }.
% 5.00/5.49 substitution0:
% 5.00/5.49 X := X
% 5.00/5.49 Y := Y
% 5.00/5.49 Z := Z
% 5.00/5.49 T := T
% 5.00/5.49 end
% 5.00/5.49 substitution1:
% 5.00/5.49 X := Y
% 5.00/5.49 Y := X
% 5.00/5.49 Z := Z
% 5.00/5.49 T := T
% 5.00/5.49 end
% 5.00/5.49
% 5.00/5.49 subsumption: (367) {G1,W10,D2,L2,V4,M2} R(15,14) { ! cyclic( X, Y, Z, T ),
% 5.00/5.49 cyclic( Y, Z, X, T ) }.
% 5.00/5.49 parent0: (27421) {G1,W10,D2,L2,V4,M2} { cyclic( X, Z, Y, T ), ! cyclic( Y
% 5.00/5.49 , X, Z, T ) }.
% 5.00/5.49 substitution0:
% 5.00/5.49 X := Y
% 5.00/5.49 Y := X
% 5.00/5.49 Z := Z
% 5.00/5.49 T := T
% 5.00/5.49 end
% 5.00/5.49 permutation0:
% 5.00/5.49 0 ==> 1
% 5.00/5.49 1 ==> 0
% 5.00/5.49 end
% 5.00/5.49
% 5.00/5.49 resolution: (27423) {G1,W15,D2,L3,V5,M3} { ! cyclic( X, Y, Z, T ), cyclic
% 5.00/5.49 ( Y, Z, T, U ), ! cyclic( X, Y, U, Z ) }.
% 5.00/5.49 parent0[1]: (16) {G0,W15,D2,L3,V5,M3} I { ! cyclic( U, X, Y, Z ), ! cyclic
% 5.00/5.49 ( U, X, Y, T ), cyclic( X, Y, Z, T ) }.
% 5.00/5.49 parent1[1]: (13) {G0,W10,D2,L2,V4,M2} I { ! cyclic( X, Y, Z, T ), cyclic( X
% 5.00/5.49 , Y, T, Z ) }.
% 5.00/5.49 substitution0:
% 5.00/5.49 X := Y
% 5.00/5.49 Y := Z
% 5.00/5.49 Z := T
% 5.00/5.49 T := U
% 5.00/5.49 U := X
% 5.00/5.49 end
% 5.00/5.49 substitution1:
% 5.00/5.49 X := X
% 5.00/5.49 Y := Y
% 5.00/5.49 Z := U
% 5.00/5.49 T := Z
% 5.00/5.49 end
% 5.00/5.49
% 5.00/5.49 subsumption: (398) {G1,W15,D2,L3,V5,M3} R(16,13) { ! cyclic( X, Y, Z, T ),
% 5.00/5.49 cyclic( Y, Z, T, U ), ! cyclic( X, Y, U, Z ) }.
% 5.00/5.49 parent0: (27423) {G1,W15,D2,L3,V5,M3} { ! cyclic( X, Y, Z, T ), cyclic( Y
% 5.00/5.49 , Z, T, U ), ! cyclic( X, Y, U, Z ) }.
% 5.00/5.49 substitution0:
% 5.00/5.49 X := X
% 5.00/5.49 Y := Y
% 5.00/5.49 Z := Z
% 5.00/5.49 T := T
% 5.00/5.49 U := U
% 5.00/5.49 end
% 5.00/5.49 permutation0:
% 5.00/5.49 0 ==> 0
% 5.00/5.49 1 ==> 1
% 5.00/5.49 2 ==> 2
% 5.00/5.49 end
% 5.00/5.49
% 5.00/5.49 resolution: (27426) {G1,W8,D2,L2,V3,M2} { coll( Y, X, X ), ! coll( X, Z, Y
% 5.00/5.49 ) }.
% 5.00/5.49 parent0[0]: (1) {G0,W8,D2,L2,V3,M2} I { ! coll( X, Y, Z ), coll( Y, X, Z )
% 5.00/5.49 }.
% 5.00/5.49 parent1[0]: (224) {G4,W8,D2,L2,V3,M2} F(211) { coll( X, Y, X ), ! coll( X,
% 5.00/5.49 Z, Y ) }.
% 5.00/5.49 substitution0:
% 5.00/5.49 X := X
% 5.00/5.49 Y := Y
% 5.00/5.49 Z := X
% 5.00/5.49 end
% 5.00/5.49 substitution1:
% 5.00/5.49 X := X
% 5.00/5.49 Y := Y
% 5.00/5.49 Z := Z
% 5.00/5.49 end
% 5.00/5.49
% 5.00/5.49 subsumption: (450) {G5,W8,D2,L2,V3,M2} R(224,1) { ! coll( X, Y, Z ), coll(
% 5.00/5.49 Z, X, X ) }.
% 5.00/5.49 parent0: (27426) {G1,W8,D2,L2,V3,M2} { coll( Y, X, X ), ! coll( X, Z, Y )
% 5.00/5.49 }.
% 5.00/5.49 substitution0:
% 5.00/5.49 X := X
% 5.00/5.49 Y := Z
% 5.00/5.49 Z := Y
% 5.00/5.49 end
% 5.00/5.49 permutation0:
% 5.00/5.49 0 ==> 1
% 5.00/5.49 1 ==> 0
% 5.00/5.49 end
% 5.00/5.49
% 5.00/5.49 resolution: (27427) {G1,W8,D2,L2,V3,M2} { coll( Z, X, X ), ! coll( Y, X, Z
% 5.00/5.49 ) }.
% 5.00/5.49 parent0[0]: (450) {G5,W8,D2,L2,V3,M2} R(224,1) { ! coll( X, Y, Z ), coll( Z
% 5.00/5.49 , X, X ) }.
% 5.00/5.49 parent1[1]: (1) {G0,W8,D2,L2,V3,M2} I { ! coll( X, Y, Z ), coll( Y, X, Z )
% 5.00/5.49 }.
% 5.00/5.49 substitution0:
% 5.00/5.49 X := X
% 5.00/5.49 Y := Y
% 5.00/5.49 Z := Z
% 5.00/5.49 end
% 5.00/5.49 substitution1:
% 5.00/5.49 X := Y
% 5.00/5.49 Y := X
% 5.00/5.49 Z := Z
% 5.00/5.49 end
% 5.00/5.49
% 5.00/5.49 subsumption: (455) {G6,W8,D2,L2,V3,M2} R(450,1) { coll( X, Y, Y ), ! coll(
% 5.00/5.49 Z, Y, X ) }.
% 5.00/5.49 parent0: (27427) {G1,W8,D2,L2,V3,M2} { coll( Z, X, X ), ! coll( Y, X, Z )
% 5.00/5.49 }.
% 5.00/5.49 substitution0:
% 5.00/5.49 X := Y
% 5.00/5.49 Y := Z
% 5.00/5.49 Z := X
% 5.00/5.49 end
% 5.00/5.49 permutation0:
% 5.00/5.49 0 ==> 0
% 5.00/5.49 1 ==> 1
% 5.00/5.49 end
% 5.00/5.49
% 5.00/5.49 resolution: (27428) {G1,W8,D2,L2,V3,M2} { coll( Z, X, X ), ! coll( X, Z, Y
% 5.00/5.49 ) }.
% 5.00/5.49 parent0[0]: (450) {G5,W8,D2,L2,V3,M2} R(224,1) { ! coll( X, Y, Z ), coll( Z
% 5.00/5.49 , X, X ) }.
% 5.00/5.49 parent1[1]: (0) {G0,W8,D2,L2,V3,M2} I { ! coll( X, Y, Z ), coll( X, Z, Y )
% 5.00/5.49 }.
% 5.00/5.49 substitution0:
% 5.00/5.49 X := X
% 5.00/5.49 Y := Y
% 5.00/5.49 Z := Z
% 5.00/5.49 end
% 5.00/5.49 substitution1:
% 5.00/5.49 X := X
% 5.00/5.49 Y := Z
% 5.00/5.49 Z := Y
% 5.00/5.49 end
% 5.00/5.49
% 5.00/5.49 subsumption: (456) {G6,W8,D2,L2,V3,M2} R(450,0) { coll( X, Y, Y ), ! coll(
% 5.00/5.49 Y, X, Z ) }.
% 5.00/5.49 parent0: (27428) {G1,W8,D2,L2,V3,M2} { coll( Z, X, X ), ! coll( X, Z, Y )
% 5.00/5.49 }.
% 5.00/5.49 substitution0:
% 5.00/5.49 X := Y
% 5.00/5.49 Y := Z
% 5.00/5.49 Z := X
% 5.00/5.49 end
% 5.00/5.49 permutation0:
% 5.00/5.49 0 ==> 0
% 5.00/5.49 1 ==> 1
% 5.00/5.49 end
% 5.00/5.49
% 5.00/5.49 resolution: (27430) {G6,W8,D2,L2,V3,M2} { coll( Y, X, X ), ! coll( Z, Y, X
% 5.00/5.49 ) }.
% 5.00/5.49 parent0[0]: (450) {G5,W8,D2,L2,V3,M2} R(224,1) { ! coll( X, Y, Z ), coll( Z
% 5.00/5.49 , X, X ) }.
% 5.00/5.49 parent1[0]: (455) {G6,W8,D2,L2,V3,M2} R(450,1) { coll( X, Y, Y ), ! coll( Z
% 5.00/5.49 , Y, X ) }.
% 5.00/5.49 substitution0:
% 5.00/5.49 X := X
% 5.00/5.49 Y := Y
% 5.00/5.49 Z := Y
% 5.00/5.49 end
% 5.00/5.49 substitution1:
% 5.00/5.49 X := X
% 5.00/5.49 Y := Y
% 5.00/5.49 Z := Z
% 5.00/5.49 end
% 5.00/5.49
% 5.00/5.49 subsumption: (457) {G7,W8,D2,L2,V3,M2} R(455,450) { ! coll( X, Y, Z ), coll
% 5.00/5.49 ( Y, Z, Z ) }.
% 5.00/5.49 parent0: (27430) {G6,W8,D2,L2,V3,M2} { coll( Y, X, X ), ! coll( Z, Y, X )
% 5.00/5.49 }.
% 5.00/5.49 substitution0:
% 5.00/5.49 X := Z
% 5.00/5.49 Y := Y
% 5.00/5.49 Z := X
% 5.00/5.49 end
% 5.00/5.49 permutation0:
% 5.00/5.49 0 ==> 1
% 5.00/5.49 1 ==> 0
% 5.00/5.49 end
% 5.00/5.49
% 5.00/5.49 resolution: (27431) {G7,W8,D2,L2,V3,M2} { coll( X, Y, Y ), ! coll( X, Y, Z
% 5.00/5.49 ) }.
% 5.00/5.49 parent0[1]: (456) {G6,W8,D2,L2,V3,M2} R(450,0) { coll( X, Y, Y ), ! coll( Y
% 5.00/5.49 , X, Z ) }.
% 5.00/5.49 parent1[0]: (456) {G6,W8,D2,L2,V3,M2} R(450,0) { coll( X, Y, Y ), ! coll( Y
% 5.00/5.49 , X, Z ) }.
% 5.00/5.49 substitution0:
% 5.00/5.49 X := X
% 5.00/5.49 Y := Y
% 5.00/5.49 Z := X
% 5.00/5.49 end
% 5.00/5.49 substitution1:
% 5.00/5.49 X := Y
% 5.00/5.49 Y := X
% 5.00/5.49 Z := Z
% 5.00/5.49 end
% 5.00/5.49
% 5.00/5.49 subsumption: (472) {G7,W8,D2,L2,V3,M2} R(456,456) { ! coll( X, Y, Z ), coll
% 5.00/5.49 ( X, Y, Y ) }.
% 5.00/5.49 parent0: (27431) {G7,W8,D2,L2,V3,M2} { coll( X, Y, Y ), ! coll( X, Y, Z )
% 5.00/5.49 }.
% 5.00/5.49 substitution0:
% 5.00/5.49 X := X
% 5.00/5.49 Y := Y
% 5.00/5.49 Z := Z
% 5.00/5.49 end
% 5.00/5.49 permutation0:
% 5.00/5.49 0 ==> 1
% 5.00/5.49 1 ==> 0
% 5.00/5.49 end
% 5.00/5.49
% 5.00/5.49 resolution: (27435) {G1,W12,D2,L3,V4,M3} { ! coll( X, Y, Z ), coll( Z, Y,
% 5.00/5.49 X ), ! coll( X, Y, T ) }.
% 5.00/5.49 parent0[1]: (2) {G0,W12,D2,L3,V4,M3} I { ! coll( X, T, Y ), ! coll( X, T, Z
% 5.00/5.49 ), coll( Y, Z, X ) }.
% 5.00/5.49 parent1[1]: (472) {G7,W8,D2,L2,V3,M2} R(456,456) { ! coll( X, Y, Z ), coll
% 5.00/5.49 ( X, Y, Y ) }.
% 5.00/5.49 substitution0:
% 5.00/5.49 X := X
% 5.00/5.49 Y := Z
% 5.00/5.49 Z := Y
% 5.00/5.49 T := Y
% 5.00/5.49 end
% 5.00/5.49 substitution1:
% 5.00/5.49 X := X
% 5.00/5.49 Y := Y
% 5.00/5.49 Z := T
% 5.00/5.49 end
% 5.00/5.49
% 5.00/5.49 subsumption: (475) {G8,W12,D2,L3,V4,M3} R(472,2) { ! coll( X, Y, Z ), !
% 5.00/5.49 coll( X, Y, T ), coll( T, Y, X ) }.
% 5.00/5.49 parent0: (27435) {G1,W12,D2,L3,V4,M3} { ! coll( X, Y, Z ), coll( Z, Y, X )
% 5.00/5.49 , ! coll( X, Y, T ) }.
% 5.00/5.49 substitution0:
% 5.00/5.49 X := X
% 5.00/5.49 Y := Y
% 5.00/5.49 Z := T
% 5.00/5.49 T := Z
% 5.00/5.49 end
% 5.00/5.49 permutation0:
% 5.00/5.49 0 ==> 1
% 5.00/5.49 1 ==> 2
% 5.00/5.49 2 ==> 0
% 5.00/5.49 end
% 5.00/5.49
% 5.00/5.49 factor: (27438) {G8,W8,D2,L2,V3,M2} { ! coll( X, Y, Z ), coll( Z, Y, X )
% 5.00/5.49 }.
% 5.00/5.49 parent0[0, 1]: (475) {G8,W12,D2,L3,V4,M3} R(472,2) { ! coll( X, Y, Z ), !
% 5.00/5.49 coll( X, Y, T ), coll( T, Y, X ) }.
% 5.00/5.49 substitution0:
% 5.00/5.49 X := X
% 5.00/5.49 Y := Y
% 5.00/5.49 Z := Z
% 5.00/5.49 T := Z
% 5.00/5.49 end
% 5.00/5.49
% 5.00/5.49 subsumption: (476) {G9,W8,D2,L2,V3,M2} F(475) { ! coll( X, Y, Z ), coll( Z
% 5.00/5.49 , Y, X ) }.
% 5.00/5.49 parent0: (27438) {G8,W8,D2,L2,V3,M2} { ! coll( X, Y, Z ), coll( Z, Y, X )
% 5.00/5.49 }.
% 5.00/5.49 substitution0:
% 5.00/5.49 X := X
% 5.00/5.49 Y := Y
% 5.00/5.49 Z := Z
% 5.00/5.49 end
% 5.00/5.49 permutation0:
% 5.00/5.49 0 ==> 0
% 5.00/5.49 1 ==> 1
% 5.00/5.49 end
% 5.00/5.49
% 5.00/5.49 resolution: (27439) {G8,W8,D2,L2,V3,M2} { coll( Y, Y, X ), ! coll( Z, X, Y
% 5.00/5.49 ) }.
% 5.00/5.49 parent0[0]: (476) {G9,W8,D2,L2,V3,M2} F(475) { ! coll( X, Y, Z ), coll( Z,
% 5.00/5.49 Y, X ) }.
% 5.00/5.49 parent1[1]: (457) {G7,W8,D2,L2,V3,M2} R(455,450) { ! coll( X, Y, Z ), coll
% 5.00/5.49 ( Y, Z, Z ) }.
% 5.00/5.49 substitution0:
% 5.00/5.49 X := X
% 5.00/5.49 Y := Y
% 5.00/5.49 Z := Y
% 5.00/5.49 end
% 5.00/5.49 substitution1:
% 5.00/5.49 X := Z
% 5.00/5.49 Y := X
% 5.00/5.49 Z := Y
% 5.00/5.49 end
% 5.00/5.49
% 5.00/5.49 subsumption: (479) {G10,W8,D2,L2,V3,M2} R(476,457) { coll( X, X, Y ), !
% 5.00/5.49 coll( Z, Y, X ) }.
% 5.00/5.49 parent0: (27439) {G8,W8,D2,L2,V3,M2} { coll( Y, Y, X ), ! coll( Z, X, Y )
% 5.00/5.49 }.
% 5.00/5.49 substitution0:
% 5.00/5.49 X := Y
% 5.00/5.49 Y := X
% 5.00/5.49 Z := Z
% 5.00/5.49 end
% 5.00/5.49 permutation0:
% 5.00/5.49 0 ==> 0
% 5.00/5.49 1 ==> 1
% 5.00/5.49 end
% 5.00/5.49
% 5.00/5.49 resolution: (27440) {G7,W8,D2,L2,V3,M2} { coll( Y, Y, X ), ! coll( Z, Y, X
% 5.00/5.49 ) }.
% 5.00/5.49 parent0[0]: (476) {G9,W8,D2,L2,V3,M2} F(475) { ! coll( X, Y, Z ), coll( Z,
% 5.00/5.49 Y, X ) }.
% 5.00/5.49 parent1[0]: (455) {G6,W8,D2,L2,V3,M2} R(450,1) { coll( X, Y, Y ), ! coll( Z
% 5.00/5.49 , Y, X ) }.
% 5.00/5.49 substitution0:
% 5.00/5.49 X := X
% 5.00/5.49 Y := Y
% 5.00/5.49 Z := Y
% 5.00/5.49 end
% 5.00/5.49 substitution1:
% 5.00/5.49 X := X
% 5.00/5.49 Y := Y
% 5.00/5.49 Z := Z
% 5.00/5.49 end
% 5.00/5.49
% 5.00/5.49 subsumption: (480) {G10,W8,D2,L2,V3,M2} R(476,455) { coll( X, X, Y ), !
% 5.00/5.49 coll( Z, X, Y ) }.
% 5.00/5.49 parent0: (27440) {G7,W8,D2,L2,V3,M2} { coll( Y, Y, X ), ! coll( Z, Y, X )
% 5.00/5.49 }.
% 5.00/5.49 substitution0:
% 5.00/5.49 X := Y
% 5.00/5.49 Y := X
% 5.00/5.49 Z := Z
% 5.00/5.49 end
% 5.00/5.49 permutation0:
% 5.00/5.49 0 ==> 0
% 5.00/5.49 1 ==> 1
% 5.00/5.49 end
% 5.00/5.49
% 5.00/5.49 resolution: (27441) {G1,W8,D2,L2,V3,M2} { coll( X, Y, Z ), ! midp( Y, Z, X
% 5.00/5.49 ) }.
% 5.00/5.49 parent0[1]: (164) {G1,W8,D2,L2,V3,M2} R(1,0) { coll( X, Y, Z ), ! coll( Y,
% 5.00/5.49 Z, X ) }.
% 5.00/5.49 parent1[1]: (69) {G0,W8,D2,L2,V3,M2} I { ! midp( X, Y, Z ), coll( X, Y, Z )
% 5.00/5.49 }.
% 5.00/5.49 substitution0:
% 5.00/5.49 X := X
% 5.00/5.49 Y := Y
% 5.00/5.49 Z := Z
% 5.00/5.49 end
% 5.00/5.49 substitution1:
% 5.00/5.49 X := Y
% 5.00/5.49 Y := Z
% 5.00/5.49 Z := X
% 5.00/5.49 end
% 5.00/5.49
% 5.00/5.49 subsumption: (534) {G2,W8,D2,L2,V3,M2} R(69,164) { ! midp( X, Y, Z ), coll
% 5.00/5.49 ( Z, X, Y ) }.
% 5.00/5.49 parent0: (27441) {G1,W8,D2,L2,V3,M2} { coll( X, Y, Z ), ! midp( Y, Z, X )
% 5.00/5.49 }.
% 5.00/5.49 substitution0:
% 5.00/5.49 X := Z
% 5.00/5.49 Y := X
% 5.00/5.49 Z := Y
% 5.00/5.49 end
% 5.00/5.49 permutation0:
% 5.00/5.49 0 ==> 1
% 5.00/5.49 1 ==> 0
% 5.00/5.49 end
% 5.00/5.49
% 5.00/5.49 resolution: (27442) {G1,W8,D2,L2,V3,M2} { coll( X, X, Y ), ! midp( Z, X, Y
% 5.00/5.49 ) }.
% 5.00/5.49 parent0[1]: (480) {G10,W8,D2,L2,V3,M2} R(476,455) { coll( X, X, Y ), ! coll
% 5.00/5.49 ( Z, X, Y ) }.
% 5.00/5.49 parent1[1]: (69) {G0,W8,D2,L2,V3,M2} I { ! midp( X, Y, Z ), coll( X, Y, Z )
% 5.00/5.49 }.
% 5.00/5.49 substitution0:
% 5.00/5.49 X := X
% 5.00/5.49 Y := Y
% 5.00/5.49 Z := Z
% 5.00/5.49 end
% 5.00/5.49 substitution1:
% 5.00/5.49 X := Z
% 5.00/5.49 Y := X
% 5.00/5.49 Z := Y
% 5.00/5.49 end
% 5.00/5.49
% 5.00/5.49 subsumption: (541) {G11,W8,D2,L2,V3,M2} R(69,480) { ! midp( X, Y, Z ), coll
% 5.00/5.49 ( Y, Y, Z ) }.
% 5.00/5.49 parent0: (27442) {G1,W8,D2,L2,V3,M2} { coll( X, X, Y ), ! midp( Z, X, Y )
% 5.00/5.49 }.
% 5.00/5.49 substitution0:
% 5.00/5.49 X := Y
% 5.00/5.49 Y := Z
% 5.00/5.49 Z := X
% 5.00/5.49 end
% 5.00/5.49 permutation0:
% 5.00/5.49 0 ==> 1
% 5.00/5.49 1 ==> 0
% 5.00/5.49 end
% 5.00/5.49
% 5.00/5.49 resolution: (27443) {G1,W4,D2,L1,V0,M1} { coll( skol23, skol25, skol26 )
% 5.00/5.49 }.
% 5.00/5.49 parent0[0]: (69) {G0,W8,D2,L2,V3,M2} I { ! midp( X, Y, Z ), coll( X, Y, Z )
% 5.00/5.49 }.
% 5.00/5.49 parent1[0]: (320) {G1,W4,D2,L1,V0,M1} R(10,121) { midp( skol23, skol25,
% 5.00/5.49 skol26 ) }.
% 5.00/5.49 substitution0:
% 5.00/5.49 X := skol23
% 5.00/5.49 Y := skol25
% 5.00/5.49 Z := skol26
% 5.00/5.49 end
% 5.00/5.49 substitution1:
% 5.00/5.49 end
% 5.00/5.49
% 5.00/5.49 subsumption: (555) {G2,W4,D2,L1,V0,M1} R(69,320) { coll( skol23, skol25,
% 5.00/5.49 skol26 ) }.
% 5.00/5.49 parent0: (27443) {G1,W4,D2,L1,V0,M1} { coll( skol23, skol25, skol26 ) }.
% 5.00/5.49 substitution0:
% 5.00/5.49 end
% 5.00/5.49 permutation0:
% 5.00/5.49 0 ==> 0
% 5.00/5.49 end
% 5.00/5.49
% 5.00/5.49 resolution: (27444) {G1,W4,D2,L1,V0,M1} { coll( skol23, skol26, skol25 )
% 5.00/5.49 }.
% 5.00/5.49 parent0[0]: (69) {G0,W8,D2,L2,V3,M2} I { ! midp( X, Y, Z ), coll( X, Y, Z )
% 5.00/5.49 }.
% 5.00/5.49 parent1[0]: (121) {G0,W4,D2,L1,V0,M1} I { midp( skol23, skol26, skol25 )
% 5.00/5.49 }.
% 5.00/5.49 substitution0:
% 5.00/5.49 X := skol23
% 5.00/5.49 Y := skol26
% 5.00/5.49 Z := skol25
% 5.00/5.49 end
% 5.00/5.49 substitution1:
% 5.00/5.49 end
% 5.00/5.49
% 5.00/5.49 subsumption: (563) {G1,W4,D2,L1,V0,M1} R(69,121) { coll( skol23, skol26,
% 5.00/5.49 skol25 ) }.
% 5.00/5.49 parent0: (27444) {G1,W4,D2,L1,V0,M1} { coll( skol23, skol26, skol25 ) }.
% 5.00/5.49 substitution0:
% 5.00/5.49 end
% 5.00/5.49 permutation0:
% 5.00/5.49 0 ==> 0
% 5.00/5.49 end
% 5.00/5.49
% 5.00/5.49 resolution: (27445) {G3,W4,D2,L1,V0,M1} { coll( skol26, skol26, skol25 )
% 5.00/5.49 }.
% 5.00/5.49 parent0[1]: (479) {G10,W8,D2,L2,V3,M2} R(476,457) { coll( X, X, Y ), ! coll
% 5.00/5.49 ( Z, Y, X ) }.
% 5.00/5.49 parent1[0]: (555) {G2,W4,D2,L1,V0,M1} R(69,320) { coll( skol23, skol25,
% 5.00/5.49 skol26 ) }.
% 5.00/5.49 substitution0:
% 5.00/5.49 X := skol26
% 5.00/5.49 Y := skol25
% 5.00/5.49 Z := skol23
% 5.00/5.49 end
% 5.00/5.49 substitution1:
% 5.00/5.49 end
% 5.00/5.49
% 5.00/5.49 subsumption: (573) {G11,W4,D2,L1,V0,M1} R(555,479) { coll( skol26, skol26,
% 5.00/5.49 skol25 ) }.
% 5.00/5.49 parent0: (27445) {G3,W4,D2,L1,V0,M1} { coll( skol26, skol26, skol25 ) }.
% 5.00/5.49 substitution0:
% 5.00/5.49 end
% 5.00/5.49 permutation0:
% 5.00/5.49 0 ==> 0
% 5.00/5.49 end
% 5.00/5.49
% 5.00/5.49 resolution: (27446) {G1,W8,D2,L2,V1,M2} { ! coll( skol23, skol26, X ),
% 5.00/5.49 coll( skol25, X, skol23 ) }.
% 5.00/5.49 parent0[0]: (2) {G0,W12,D2,L3,V4,M3} I { ! coll( X, T, Y ), ! coll( X, T, Z
% 5.00/5.49 ), coll( Y, Z, X ) }.
% 5.00/5.49 parent1[0]: (563) {G1,W4,D2,L1,V0,M1} R(69,121) { coll( skol23, skol26,
% 5.00/5.49 skol25 ) }.
% 5.00/5.49 substitution0:
% 5.00/5.49 X := skol23
% 5.00/5.49 Y := skol25
% 5.00/5.49 Z := X
% 5.00/5.49 T := skol26
% 5.00/5.49 end
% 5.00/5.49 substitution1:
% 5.00/5.49 end
% 5.00/5.49
% 5.00/5.49 subsumption: (716) {G2,W8,D2,L2,V1,M2} R(563,2) { ! coll( skol23, skol26, X
% 5.00/5.49 ), coll( skol25, X, skol23 ) }.
% 5.00/5.49 parent0: (27446) {G1,W8,D2,L2,V1,M2} { ! coll( skol23, skol26, X ), coll(
% 5.00/5.49 skol25, X, skol23 ) }.
% 5.00/5.49 substitution0:
% 5.00/5.49 X := X
% 5.00/5.49 end
% 5.00/5.49 permutation0:
% 5.00/5.49 0 ==> 0
% 5.00/5.49 1 ==> 1
% 5.00/5.49 end
% 5.00/5.49
% 5.00/5.49 resolution: (27448) {G1,W14,D2,L3,V3,M3} { ! coll( X, X, Z ), cyclic( Y, Z
% 5.00/5.49 , X, X ), ! para( X, Y, X, Y ) }.
% 5.00/5.49 parent0[0]: (42) {G0,W18,D2,L3,V4,M3} I { ! eqangle( Z, X, Z, Y, T, X, T, Y
% 5.00/5.49 ), ! coll( Z, T, Y ), cyclic( X, Y, Z, T ) }.
% 5.00/5.49 parent1[1]: (39) {G0,W14,D2,L2,V6,M2} I { ! para( X, Y, Z, T ), eqangle( X
% 5.00/5.49 , Y, U, W, Z, T, U, W ) }.
% 5.00/5.49 substitution0:
% 5.00/5.49 X := Y
% 5.00/5.49 Y := Z
% 5.00/5.49 Z := X
% 5.00/5.49 T := X
% 5.00/5.49 end
% 5.00/5.49 substitution1:
% 5.00/5.49 X := X
% 5.00/5.49 Y := Y
% 5.00/5.49 Z := X
% 5.00/5.49 T := Y
% 5.00/5.49 U := X
% 5.00/5.49 W := Z
% 5.00/5.49 end
% 5.00/5.49
% 5.00/5.49 subsumption: (784) {G1,W14,D2,L3,V3,M3} R(42,39) { ! coll( X, X, Y ),
% 5.00/5.49 cyclic( Z, Y, X, X ), ! para( X, Z, X, Z ) }.
% 5.00/5.49 parent0: (27448) {G1,W14,D2,L3,V3,M3} { ! coll( X, X, Z ), cyclic( Y, Z, X
% 5.00/5.49 , X ), ! para( X, Y, X, Y ) }.
% 5.00/5.49 substitution0:
% 5.00/5.49 X := X
% 5.00/5.49 Y := Z
% 5.00/5.49 Z := Y
% 5.00/5.49 end
% 5.00/5.49 permutation0:
% 5.00/5.49 0 ==> 0
% 5.00/5.49 1 ==> 1
% 5.00/5.49 2 ==> 2
% 5.00/5.49 end
% 5.00/5.49
% 5.00/5.49 resolution: (27449) {G1,W25,D2,L5,V4,M5} { ! cyclic( X, Y, Z, X ), !
% 5.00/5.49 cyclic( X, Y, Z, Y ), ! cyclic( X, Y, Z, T ), cong( X, Y, X, Y ), !
% 5.00/5.49 cyclic( X, Y, Z, T ) }.
% 5.00/5.49 parent0[3]: (43) {G0,W29,D2,L5,V6,M5} I { ! cyclic( X, Y, U, Z ), ! cyclic
% 5.00/5.49 ( X, Y, U, T ), ! cyclic( X, Y, U, W ), ! eqangle( U, X, U, Y, W, Z, W, T
% 5.00/5.49 ), cong( X, Y, Z, T ) }.
% 5.00/5.49 parent1[1]: (40) {G0,W14,D2,L2,V4,M2} I { ! cyclic( X, Y, Z, T ), eqangle(
% 5.00/5.49 Z, X, Z, Y, T, X, T, Y ) }.
% 5.00/5.49 substitution0:
% 5.00/5.49 X := X
% 5.00/5.49 Y := Y
% 5.00/5.49 Z := X
% 5.00/5.49 T := Y
% 5.00/5.49 U := Z
% 5.00/5.49 W := T
% 5.00/5.49 end
% 5.00/5.49 substitution1:
% 5.00/5.49 X := X
% 5.00/5.49 Y := Y
% 5.00/5.49 Z := Z
% 5.00/5.49 T := T
% 5.00/5.49 end
% 5.00/5.49
% 5.00/5.49 factor: (27451) {G1,W20,D2,L4,V3,M4} { ! cyclic( X, Y, Z, X ), ! cyclic( X
% 5.00/5.49 , Y, Z, Y ), cong( X, Y, X, Y ), ! cyclic( X, Y, Z, X ) }.
% 5.00/5.49 parent0[0, 2]: (27449) {G1,W25,D2,L5,V4,M5} { ! cyclic( X, Y, Z, X ), !
% 5.00/5.49 cyclic( X, Y, Z, Y ), ! cyclic( X, Y, Z, T ), cong( X, Y, X, Y ), !
% 5.00/5.49 cyclic( X, Y, Z, T ) }.
% 5.00/5.49 substitution0:
% 5.00/5.49 X := X
% 5.00/5.49 Y := Y
% 5.00/5.49 Z := Z
% 5.00/5.49 T := X
% 5.00/5.49 end
% 5.00/5.49
% 5.00/5.49 subsumption: (909) {G1,W20,D2,L4,V4,M4} R(43,40);f { ! cyclic( X, Y, Z, X )
% 5.00/5.49 , ! cyclic( X, Y, Z, Y ), ! cyclic( X, Y, Z, T ), cong( X, Y, X, Y ) }.
% 5.00/5.49 parent0: (27451) {G1,W20,D2,L4,V3,M4} { ! cyclic( X, Y, Z, X ), ! cyclic(
% 5.00/5.49 X, Y, Z, Y ), cong( X, Y, X, Y ), ! cyclic( X, Y, Z, X ) }.
% 5.00/5.49 substitution0:
% 5.00/5.49 X := X
% 5.00/5.49 Y := Y
% 5.00/5.49 Z := Z
% 5.00/5.49 end
% 5.00/5.49 permutation0:
% 5.00/5.49 0 ==> 0
% 5.00/5.49 1 ==> 1
% 5.00/5.49 2 ==> 3
% 5.00/5.49 3 ==> 0
% 5.00/5.49 end
% 5.00/5.49
% 5.00/5.49 factor: (27456) {G1,W15,D2,L3,V3,M3} { ! cyclic( X, Y, Z, X ), ! cyclic( X
% 5.00/5.49 , Y, Z, Y ), cong( X, Y, X, Y ) }.
% 5.00/5.49 parent0[0, 2]: (909) {G1,W20,D2,L4,V4,M4} R(43,40);f { ! cyclic( X, Y, Z, X
% 5.00/5.49 ), ! cyclic( X, Y, Z, Y ), ! cyclic( X, Y, Z, T ), cong( X, Y, X, Y )
% 5.00/5.49 }.
% 5.00/5.49 substitution0:
% 5.00/5.49 X := X
% 5.00/5.49 Y := Y
% 5.00/5.49 Z := Z
% 5.00/5.49 T := X
% 5.00/5.49 end
% 5.00/5.49
% 5.00/5.49 subsumption: (941) {G2,W15,D2,L3,V3,M3} F(909) { ! cyclic( X, Y, Z, X ), !
% 5.00/5.49 cyclic( X, Y, Z, Y ), cong( X, Y, X, Y ) }.
% 5.00/5.49 parent0: (27456) {G1,W15,D2,L3,V3,M3} { ! cyclic( X, Y, Z, X ), ! cyclic(
% 5.00/5.49 X, Y, Z, Y ), cong( X, Y, X, Y ) }.
% 5.00/5.49 substitution0:
% 5.00/5.49 X := X
% 5.00/5.49 Y := Y
% 5.00/5.49 Z := Z
% 5.00/5.49 end
% 5.00/5.49 permutation0:
% 5.00/5.49 0 ==> 0
% 5.00/5.49 1 ==> 1
% 5.00/5.49 2 ==> 2
% 5.00/5.49 end
% 5.00/5.49
% 5.00/5.49 resolution: (27458) {G2,W8,D2,L2,V1,M2} { coll( skol25, X, skol23 ), !
% 5.00/5.49 coll( X, skol23, skol26 ) }.
% 5.00/5.49 parent0[0]: (716) {G2,W8,D2,L2,V1,M2} R(563,2) { ! coll( skol23, skol26, X
% 5.00/5.49 ), coll( skol25, X, skol23 ) }.
% 5.00/5.49 parent1[1]: (165) {G1,W8,D2,L2,V3,M2} R(1,0) { ! coll( X, Y, Z ), coll( Y,
% 5.00/5.49 Z, X ) }.
% 5.00/5.49 substitution0:
% 5.00/5.49 X := X
% 5.00/5.49 end
% 5.00/5.49 substitution1:
% 5.00/5.49 X := X
% 5.00/5.49 Y := skol23
% 5.00/5.49 Z := skol26
% 5.00/5.49 end
% 5.00/5.49
% 5.00/5.49 subsumption: (974) {G3,W8,D2,L2,V1,M2} R(716,165) { coll( skol25, X, skol23
% 5.00/5.49 ), ! coll( X, skol23, skol26 ) }.
% 5.00/5.49 parent0: (27458) {G2,W8,D2,L2,V1,M2} { coll( skol25, X, skol23 ), ! coll(
% 5.00/5.49 X, skol23, skol26 ) }.
% 5.00/5.49 substitution0:
% 5.00/5.49 X := X
% 5.00/5.49 end
% 5.00/5.49 permutation0:
% 5.00/5.49 0 ==> 0
% 5.00/5.49 1 ==> 1
% 5.00/5.49 end
% 5.00/5.49
% 5.00/5.49 resolution: (27460) {G2,W8,D2,L2,V1,M2} { coll( X, skol23, skol25 ), !
% 5.00/5.49 coll( X, skol23, skol26 ) }.
% 5.00/5.49 parent0[0]: (165) {G1,W8,D2,L2,V3,M2} R(1,0) { ! coll( X, Y, Z ), coll( Y,
% 5.00/5.49 Z, X ) }.
% 5.00/5.49 parent1[0]: (974) {G3,W8,D2,L2,V1,M2} R(716,165) { coll( skol25, X, skol23
% 5.00/5.49 ), ! coll( X, skol23, skol26 ) }.
% 5.00/5.49 substitution0:
% 5.00/5.49 X := skol25
% 5.00/5.49 Y := X
% 5.00/5.49 Z := skol23
% 5.00/5.49 end
% 5.00/5.49 substitution1:
% 5.00/5.49 X := X
% 5.00/5.49 end
% 5.00/5.49
% 5.00/5.49 subsumption: (1858) {G4,W8,D2,L2,V1,M2} R(974,165) { ! coll( X, skol23,
% 5.00/5.49 skol26 ), coll( X, skol23, skol25 ) }.
% 5.00/5.49 parent0: (27460) {G2,W8,D2,L2,V1,M2} { coll( X, skol23, skol25 ), ! coll(
% 5.00/5.49 X, skol23, skol26 ) }.
% 5.00/5.49 substitution0:
% 5.00/5.49 X := X
% 5.00/5.49 end
% 5.00/5.49 permutation0:
% 5.00/5.49 0 ==> 1
% 5.00/5.49 1 ==> 0
% 5.00/5.49 end
% 5.00/5.49
% 5.00/5.49 resolution: (27463) {G1,W12,D2,L3,V2,M3} { ! coll( X, skol23, Y ), coll(
% 5.00/5.49 skol25, Y, X ), ! coll( X, skol23, skol26 ) }.
% 5.00/5.49 parent0[0]: (2) {G0,W12,D2,L3,V4,M3} I { ! coll( X, T, Y ), ! coll( X, T, Z
% 5.00/5.49 ), coll( Y, Z, X ) }.
% 5.00/5.49 parent1[1]: (1858) {G4,W8,D2,L2,V1,M2} R(974,165) { ! coll( X, skol23,
% 5.00/5.49 skol26 ), coll( X, skol23, skol25 ) }.
% 5.00/5.49 substitution0:
% 5.00/5.49 X := X
% 5.00/5.49 Y := skol25
% 5.00/5.49 Z := Y
% 5.00/5.49 T := skol23
% 5.00/5.49 end
% 5.00/5.49 substitution1:
% 5.00/5.49 X := X
% 5.00/5.49 end
% 5.00/5.49
% 5.00/5.49 subsumption: (1876) {G5,W12,D2,L3,V2,M3} R(1858,2) { ! coll( X, skol23,
% 5.00/5.49 skol26 ), ! coll( X, skol23, Y ), coll( skol25, Y, X ) }.
% 5.00/5.49 parent0: (27463) {G1,W12,D2,L3,V2,M3} { ! coll( X, skol23, Y ), coll(
% 5.00/5.49 skol25, Y, X ), ! coll( X, skol23, skol26 ) }.
% 5.00/5.49 substitution0:
% 5.00/5.49 X := X
% 5.00/5.49 Y := Y
% 5.00/5.49 end
% 5.00/5.49 permutation0:
% 5.00/5.49 0 ==> 1
% 5.00/5.49 1 ==> 2
% 5.00/5.49 2 ==> 0
% 5.00/5.49 end
% 5.00/5.49
% 5.00/5.49 factor: (27467) {G5,W8,D2,L2,V1,M2} { ! coll( X, skol23, skol26 ), coll(
% 5.00/5.49 skol25, skol26, X ) }.
% 5.00/5.49 parent0[0, 1]: (1876) {G5,W12,D2,L3,V2,M3} R(1858,2) { ! coll( X, skol23,
% 5.00/5.49 skol26 ), ! coll( X, skol23, Y ), coll( skol25, Y, X ) }.
% 5.00/5.49 substitution0:
% 5.00/5.49 X := X
% 5.00/5.49 Y := skol26
% 5.00/5.49 end
% 5.00/5.49
% 5.00/5.49 subsumption: (1881) {G6,W8,D2,L2,V1,M2} F(1876) { ! coll( X, skol23, skol26
% 5.00/5.49 ), coll( skol25, skol26, X ) }.
% 5.00/5.49 parent0: (27467) {G5,W8,D2,L2,V1,M2} { ! coll( X, skol23, skol26 ), coll(
% 5.00/5.49 skol25, skol26, X ) }.
% 5.00/5.49 substitution0:
% 5.00/5.49 X := X
% 5.00/5.49 end
% 5.00/5.49 permutation0:
% 5.00/5.49 0 ==> 0
% 5.00/5.49 1 ==> 1
% 5.00/5.49 end
% 5.00/5.49
% 5.00/5.49 resolution: (27468) {G1,W5,D2,L1,V0,M1} { cong( skol22, skol27, skol22,
% 5.00/5.49 skol24 ) }.
% 5.00/5.49 parent0[0]: (68) {G0,W9,D2,L2,V3,M2} I { ! midp( X, Y, Z ), cong( X, Y, X,
% 5.00/5.49 Z ) }.
% 5.00/5.49 parent1[0]: (319) {G1,W4,D2,L1,V0,M1} R(10,120) { midp( skol22, skol27,
% 5.00/5.49 skol24 ) }.
% 5.00/5.49 substitution0:
% 5.00/5.49 X := skol22
% 5.00/5.49 Y := skol27
% 5.00/5.49 Z := skol24
% 5.00/5.49 end
% 5.00/5.49 substitution1:
% 5.00/5.49 end
% 5.00/5.49
% 5.00/5.49 subsumption: (2435) {G2,W5,D2,L1,V0,M1} R(68,319) { cong( skol22, skol27,
% 5.00/5.49 skol22, skol24 ) }.
% 5.00/5.49 parent0: (27468) {G1,W5,D2,L1,V0,M1} { cong( skol22, skol27, skol22,
% 5.00/5.49 skol24 ) }.
% 5.00/5.49 substitution0:
% 5.00/5.49 end
% 5.00/5.49 permutation0:
% 5.00/5.49 0 ==> 0
% 5.00/5.49 end
% 5.00/5.49
% 5.00/5.49 resolution: (27469) {G1,W5,D2,L1,V0,M1} { cong( skol23, skol26, skol23,
% 5.00/5.49 skol25 ) }.
% 5.00/5.49 parent0[0]: (68) {G0,W9,D2,L2,V3,M2} I { ! midp( X, Y, Z ), cong( X, Y, X,
% 5.00/5.49 Z ) }.
% 5.00/5.49 parent1[0]: (121) {G0,W4,D2,L1,V0,M1} I { midp( skol23, skol26, skol25 )
% 5.00/5.49 }.
% 5.00/5.49 substitution0:
% 5.00/5.49 X := skol23
% 5.00/5.49 Y := skol26
% 5.00/5.49 Z := skol25
% 5.00/5.49 end
% 5.00/5.49 substitution1:
% 5.00/5.49 end
% 5.00/5.49
% 5.00/5.49 subsumption: (2437) {G1,W5,D2,L1,V0,M1} R(68,121) { cong( skol23, skol26,
% 5.00/5.49 skol23, skol25 ) }.
% 5.00/5.49 parent0: (27469) {G1,W5,D2,L1,V0,M1} { cong( skol23, skol26, skol23,
% 5.00/5.49 skol25 ) }.
% 5.00/5.49 substitution0:
% 5.00/5.49 end
% 5.00/5.49 permutation0:
% 5.00/5.49 0 ==> 0
% 5.00/5.49 end
% 5.00/5.49
% 5.00/5.49 resolution: (27470) {G3,W8,D2,L2,V1,M2} { coll( skol25, skol26, X ), !
% 5.00/5.49 midp( skol23, skol26, X ) }.
% 5.00/5.49 parent0[0]: (1881) {G6,W8,D2,L2,V1,M2} F(1876) { ! coll( X, skol23, skol26
% 5.00/5.49 ), coll( skol25, skol26, X ) }.
% 5.00/5.49 parent1[1]: (534) {G2,W8,D2,L2,V3,M2} R(69,164) { ! midp( X, Y, Z ), coll(
% 5.00/5.49 Z, X, Y ) }.
% 5.00/5.49 substitution0:
% 5.00/5.49 X := X
% 5.00/5.49 end
% 5.00/5.49 substitution1:
% 5.00/5.49 X := skol23
% 5.00/5.49 Y := skol26
% 5.00/5.49 Z := X
% 5.00/5.49 end
% 5.00/5.49
% 5.00/5.49 subsumption: (3001) {G7,W8,D2,L2,V1,M2} R(1881,534) { coll( skol25, skol26
% 5.00/5.49 , X ), ! midp( skol23, skol26, X ) }.
% 5.00/5.49 parent0: (27470) {G3,W8,D2,L2,V1,M2} { coll( skol25, skol26, X ), ! midp(
% 5.00/5.49 skol23, skol26, X ) }.
% 5.00/5.49 substitution0:
% 5.00/5.49 X := X
% 5.00/5.49 end
% 5.00/5.49 permutation0:
% 5.00/5.49 0 ==> 0
% 5.00/5.49 1 ==> 1
% 5.00/5.49 end
% 5.00/5.49
% 5.00/5.49 resolution: (27471) {G2,W5,D2,L1,V0,M1} { circle( skol23, skol26, skol25,
% 5.00/5.49 skol25 ) }.
% 5.00/5.49 parent0[0]: (125) {G1,W10,D2,L2,V3,M2} F(11) { ! cong( X, Y, X, Z ), circle
% 5.00/5.49 ( X, Y, Z, Z ) }.
% 5.00/5.49 parent1[0]: (2437) {G1,W5,D2,L1,V0,M1} R(68,121) { cong( skol23, skol26,
% 5.00/5.49 skol23, skol25 ) }.
% 5.00/5.49 substitution0:
% 5.00/5.49 X := skol23
% 5.00/5.49 Y := skol26
% 5.00/5.49 Z := skol25
% 5.00/5.49 end
% 5.00/5.49 substitution1:
% 5.00/5.49 end
% 5.00/5.49
% 5.00/5.49 subsumption: (7163) {G2,W5,D2,L1,V0,M1} R(125,2437) { circle( skol23,
% 5.00/5.49 skol26, skol25, skol25 ) }.
% 5.00/5.49 parent0: (27471) {G2,W5,D2,L1,V0,M1} { circle( skol23, skol26, skol25,
% 5.00/5.49 skol25 ) }.
% 5.00/5.49 substitution0:
% 5.00/5.49 end
% 5.00/5.49 permutation0:
% 5.00/5.49 0 ==> 0
% 5.00/5.49 end
% 5.00/5.49
% 5.00/5.49 resolution: (27472) {G2,W5,D2,L1,V0,M1} { circle( skol22, skol27, skol24,
% 5.00/5.49 skol24 ) }.
% 5.00/5.49 parent0[0]: (125) {G1,W10,D2,L2,V3,M2} F(11) { ! cong( X, Y, X, Z ), circle
% 5.00/5.49 ( X, Y, Z, Z ) }.
% 5.00/5.49 parent1[0]: (2435) {G2,W5,D2,L1,V0,M1} R(68,319) { cong( skol22, skol27,
% 5.00/5.49 skol22, skol24 ) }.
% 5.00/5.49 substitution0:
% 5.00/5.49 X := skol22
% 5.00/5.49 Y := skol27
% 5.00/5.49 Z := skol24
% 5.00/5.49 end
% 5.00/5.49 substitution1:
% 5.00/5.49 end
% 5.00/5.49
% 5.00/5.49 subsumption: (7165) {G3,W5,D2,L1,V0,M1} R(125,2435) { circle( skol22,
% 5.00/5.49 skol27, skol24, skol24 ) }.
% 5.00/5.49 parent0: (27472) {G2,W5,D2,L1,V0,M1} { circle( skol22, skol27, skol24,
% 5.00/5.49 skol24 ) }.
% 5.00/5.49 substitution0:
% 5.00/5.49 end
% 5.00/5.49 permutation0:
% 5.00/5.49 0 ==> 0
% 5.00/5.49 end
% 5.00/5.49
% 5.00/5.49 resolution: (27473) {G1,W9,D2,L2,V0,M2} { ! coll( skol23, skol26, skol25 )
% 5.00/5.49 , perp( skol26, skol25, skol25, skol25 ) }.
% 5.00/5.49 parent0[0]: (53) {G0,W14,D2,L3,V4,M3} I { ! circle( T, X, Y, Z ), ! coll( T
% 5.00/5.49 , X, Z ), perp( X, Y, Y, Z ) }.
% 5.00/5.49 parent1[0]: (7163) {G2,W5,D2,L1,V0,M1} R(125,2437) { circle( skol23, skol26
% 5.00/5.49 , skol25, skol25 ) }.
% 5.00/5.49 substitution0:
% 5.00/5.49 X := skol26
% 5.00/5.49 Y := skol25
% 5.00/5.49 Z := skol25
% 5.00/5.49 T := skol23
% 5.00/5.49 end
% 5.00/5.49 substitution1:
% 5.00/5.49 end
% 5.00/5.49
% 5.00/5.49 resolution: (27474) {G2,W5,D2,L1,V0,M1} { perp( skol26, skol25, skol25,
% 5.00/5.49 skol25 ) }.
% 5.00/5.49 parent0[0]: (27473) {G1,W9,D2,L2,V0,M2} { ! coll( skol23, skol26, skol25 )
% 5.00/5.49 , perp( skol26, skol25, skol25, skol25 ) }.
% 5.00/5.49 parent1[0]: (563) {G1,W4,D2,L1,V0,M1} R(69,121) { coll( skol23, skol26,
% 5.00/5.49 skol25 ) }.
% 5.00/5.49 substitution0:
% 5.00/5.49 end
% 5.00/5.49 substitution1:
% 5.00/5.49 end
% 5.00/5.49
% 5.00/5.49 subsumption: (7175) {G3,W5,D2,L1,V0,M1} R(7163,53);r(563) { perp( skol26,
% 5.00/5.49 skol25, skol25, skol25 ) }.
% 5.00/5.49 parent0: (27474) {G2,W5,D2,L1,V0,M1} { perp( skol26, skol25, skol25,
% 5.00/5.49 skol25 ) }.
% 5.00/5.49 substitution0:
% 5.00/5.49 end
% 5.00/5.49 permutation0:
% 5.00/5.49 0 ==> 0
% 5.00/5.49 end
% 5.00/5.49
% 5.00/5.49 resolution: (27475) {G1,W5,D2,L1,V0,M1} { perp( skol25, skol25, skol26,
% 5.00/5.49 skol25 ) }.
% 5.00/5.49 parent0[0]: (7) {G0,W10,D2,L2,V4,M2} I { ! perp( X, Y, Z, T ), perp( Z, T,
% 5.00/5.49 X, Y ) }.
% 5.00/5.49 parent1[0]: (7175) {G3,W5,D2,L1,V0,M1} R(7163,53);r(563) { perp( skol26,
% 5.00/5.49 skol25, skol25, skol25 ) }.
% 5.00/5.49 substitution0:
% 5.00/5.49 X := skol26
% 5.00/5.49 Y := skol25
% 5.00/5.49 Z := skol25
% 5.00/5.49 T := skol25
% 5.00/5.49 end
% 5.00/5.49 substitution1:
% 5.00/5.49 end
% 5.00/5.49
% 5.00/5.49 subsumption: (7197) {G4,W5,D2,L1,V0,M1} R(7175,7) { perp( skol25, skol25,
% 5.00/5.49 skol26, skol25 ) }.
% 5.00/5.49 parent0: (27475) {G1,W5,D2,L1,V0,M1} { perp( skol25, skol25, skol26,
% 5.00/5.49 skol25 ) }.
% 5.00/5.49 substitution0:
% 5.00/5.49 end
% 5.00/5.49 permutation0:
% 5.00/5.49 0 ==> 0
% 5.00/5.50 end
% 5.00/5.50
% 5.00/5.50 resolution: (27476) {G1,W5,D2,L1,V0,M1} { perp( skol25, skol25, skol25,
% 5.00/5.50 skol26 ) }.
% 5.00/5.50 parent0[0]: (6) {G0,W10,D2,L2,V4,M2} I { ! perp( X, Y, Z, T ), perp( X, Y,
% 5.00/5.50 T, Z ) }.
% 5.00/5.50 parent1[0]: (7197) {G4,W5,D2,L1,V0,M1} R(7175,7) { perp( skol25, skol25,
% 5.00/5.50 skol26, skol25 ) }.
% 5.00/5.50 substitution0:
% 5.00/5.50 X := skol25
% 5.00/5.50 Y := skol25
% 5.00/5.50 Z := skol26
% 5.00/5.50 T := skol25
% 5.00/5.50 end
% 5.00/5.50 substitution1:
% 5.00/5.50 end
% 5.00/5.50
% 5.00/5.50 subsumption: (7212) {G5,W5,D2,L1,V0,M1} R(7197,6) { perp( skol25, skol25,
% 5.00/5.50 skol25, skol26 ) }.
% 5.00/5.50 parent0: (27476) {G1,W5,D2,L1,V0,M1} { perp( skol25, skol25, skol25,
% 5.00/5.50 skol26 ) }.
% 5.00/5.50 substitution0:
% 5.00/5.50 end
% 5.00/5.50 permutation0:
% 5.00/5.50 0 ==> 0
% 5.00/5.50 end
% 5.00/5.50
% 5.00/5.50 resolution: (27477) {G1,W12,D3,L2,V2,M2} { ! coll( skol26, X, Y ), perp(
% 5.00/5.50 skol16( skol25, X, Y ), skol25, X, Y ) }.
% 5.00/5.50 parent0[0]: (110) {G0,W17,D3,L3,V5,M3} I { ! perp( X, U, U, T ), ! coll( T
% 5.00/5.50 , Y, Z ), perp( skol16( X, Y, Z ), X, Y, Z ) }.
% 5.00/5.50 parent1[0]: (7212) {G5,W5,D2,L1,V0,M1} R(7197,6) { perp( skol25, skol25,
% 5.00/5.50 skol25, skol26 ) }.
% 5.00/5.50 substitution0:
% 5.00/5.50 X := skol25
% 5.00/5.50 Y := X
% 5.00/5.50 Z := Y
% 5.00/5.50 T := skol26
% 5.00/5.50 U := skol25
% 5.00/5.50 end
% 5.00/5.50 substitution1:
% 5.00/5.50 end
% 5.00/5.50
% 5.00/5.50 subsumption: (7229) {G6,W12,D3,L2,V2,M2} R(7212,110) { ! coll( skol26, X, Y
% 5.00/5.50 ), perp( skol16( skol25, X, Y ), skol25, X, Y ) }.
% 5.00/5.50 parent0: (27477) {G1,W12,D3,L2,V2,M2} { ! coll( skol26, X, Y ), perp(
% 5.00/5.50 skol16( skol25, X, Y ), skol25, X, Y ) }.
% 5.00/5.50 substitution0:
% 5.00/5.50 X := X
% 5.00/5.50 Y := Y
% 5.00/5.50 end
% 5.00/5.50 permutation0:
% 5.00/5.50 0 ==> 0
% 5.00/5.50 1 ==> 1
% 5.00/5.50 end
% 5.00/5.50
% 5.00/5.50 resolution: (27478) {G1,W7,D3,L1,V0,M1} { perp( skol12( skol27, skol22 ),
% 5.00/5.50 skol27, skol27, skol22 ) }.
% 5.00/5.50 parent0[0]: (100) {G0,W12,D3,L2,V4,M2} I { ! circle( Y, X, Z, T ), perp(
% 5.00/5.50 skol12( X, Y ), X, X, Y ) }.
% 5.00/5.50 parent1[0]: (7165) {G3,W5,D2,L1,V0,M1} R(125,2435) { circle( skol22, skol27
% 5.00/5.50 , skol24, skol24 ) }.
% 5.00/5.50 substitution0:
% 5.00/5.50 X := skol27
% 5.00/5.50 Y := skol22
% 5.00/5.50 Z := skol24
% 5.00/5.50 T := skol24
% 5.00/5.50 end
% 5.00/5.50 substitution1:
% 5.00/5.50 end
% 5.00/5.50
% 5.00/5.50 subsumption: (7955) {G4,W7,D3,L1,V0,M1} R(7165,100) { perp( skol12( skol27
% 5.00/5.50 , skol22 ), skol27, skol27, skol22 ) }.
% 5.00/5.50 parent0: (27478) {G1,W7,D3,L1,V0,M1} { perp( skol12( skol27, skol22 ),
% 5.00/5.50 skol27, skol27, skol22 ) }.
% 5.00/5.50 substitution0:
% 5.00/5.50 end
% 5.00/5.50 permutation0:
% 5.00/5.50 0 ==> 0
% 5.00/5.50 end
% 5.00/5.50
% 5.00/5.50 resolution: (27479) {G2,W18,D3,L4,V2,M4} { ! midp( X, skol26, skol25 ), !
% 5.00/5.50 coll( skol26, skol26, skol25 ), midp( skol7( skol26, Y ), skol26, Y ), !
% 5.00/5.50 midp( skol23, skol26, skol25 ) }.
% 5.00/5.50 parent0[2]: (145) {G1,W18,D3,L4,V4,M4} F(88) { ! midp( X, Y, Z ), ! coll( Y
% 5.00/5.50 , Y, Z ), ! coll( Z, Y, Z ), midp( skol7( Y, T ), Y, T ) }.
% 5.00/5.50 parent1[0]: (3001) {G7,W8,D2,L2,V1,M2} R(1881,534) { coll( skol25, skol26,
% 5.00/5.50 X ), ! midp( skol23, skol26, X ) }.
% 5.00/5.50 substitution0:
% 5.00/5.50 X := X
% 5.00/5.50 Y := skol26
% 5.00/5.50 Z := skol25
% 5.00/5.50 T := Y
% 5.00/5.50 end
% 5.00/5.50 substitution1:
% 5.00/5.50 X := skol25
% 5.00/5.50 end
% 5.00/5.50
% 5.00/5.50 resolution: (27482) {G3,W14,D3,L3,V2,M3} { ! midp( X, skol26, skol25 ),
% 5.00/5.50 midp( skol7( skol26, Y ), skol26, Y ), ! midp( skol23, skol26, skol25 )
% 5.00/5.50 }.
% 5.00/5.50 parent0[1]: (27479) {G2,W18,D3,L4,V2,M4} { ! midp( X, skol26, skol25 ), !
% 5.00/5.50 coll( skol26, skol26, skol25 ), midp( skol7( skol26, Y ), skol26, Y ), !
% 5.00/5.50 midp( skol23, skol26, skol25 ) }.
% 5.00/5.50 parent1[0]: (573) {G11,W4,D2,L1,V0,M1} R(555,479) { coll( skol26, skol26,
% 5.00/5.50 skol25 ) }.
% 5.00/5.50 substitution0:
% 5.00/5.50 X := X
% 5.00/5.50 Y := Y
% 5.00/5.50 end
% 5.00/5.50 substitution1:
% 5.00/5.50 end
% 5.00/5.50
% 5.00/5.50 subsumption: (8026) {G12,W14,D3,L3,V2,M3} R(145,3001);r(573) { ! midp( X,
% 5.00/5.50 skol26, skol25 ), midp( skol7( skol26, Y ), skol26, Y ), ! midp( skol23,
% 5.00/5.50 skol26, skol25 ) }.
% 5.00/5.50 parent0: (27482) {G3,W14,D3,L3,V2,M3} { ! midp( X, skol26, skol25 ), midp
% 5.00/5.50 ( skol7( skol26, Y ), skol26, Y ), ! midp( skol23, skol26, skol25 ) }.
% 5.00/5.50 substitution0:
% 5.00/5.50 X := X
% 5.00/5.50 Y := Y
% 5.00/5.50 end
% 5.00/5.50 permutation0:
% 5.00/5.50 0 ==> 0
% 5.00/5.50 1 ==> 1
% 5.00/5.50 2 ==> 2
% 5.00/5.50 end
% 5.00/5.50
% 5.00/5.50 factor: (27484) {G12,W10,D3,L2,V1,M2} { ! midp( skol23, skol26, skol25 ),
% 5.00/5.50 midp( skol7( skol26, X ), skol26, X ) }.
% 5.00/5.50 parent0[0, 2]: (8026) {G12,W14,D3,L3,V2,M3} R(145,3001);r(573) { ! midp( X
% 5.00/5.50 , skol26, skol25 ), midp( skol7( skol26, Y ), skol26, Y ), ! midp( skol23
% 5.00/5.50 , skol26, skol25 ) }.
% 5.00/5.50 substitution0:
% 5.00/5.50 X := skol23
% 5.00/5.50 Y := X
% 5.00/5.50 end
% 5.00/5.50
% 5.00/5.50 resolution: (27485) {G1,W6,D3,L1,V1,M1} { midp( skol7( skol26, X ), skol26
% 5.00/5.50 , X ) }.
% 5.00/5.50 parent0[0]: (27484) {G12,W10,D3,L2,V1,M2} { ! midp( skol23, skol26, skol25
% 5.00/5.50 ), midp( skol7( skol26, X ), skol26, X ) }.
% 5.00/5.50 parent1[0]: (121) {G0,W4,D2,L1,V0,M1} I { midp( skol23, skol26, skol25 )
% 5.00/5.50 }.
% 5.00/5.50 substitution0:
% 5.00/5.50 X := X
% 5.00/5.50 end
% 5.00/5.50 substitution1:
% 5.00/5.50 end
% 5.00/5.50
% 5.00/5.50 subsumption: (8125) {G13,W6,D3,L1,V1,M1} F(8026);r(121) { midp( skol7(
% 5.00/5.50 skol26, X ), skol26, X ) }.
% 5.00/5.50 parent0: (27485) {G1,W6,D3,L1,V1,M1} { midp( skol7( skol26, X ), skol26, X
% 5.00/5.50 ) }.
% 5.00/5.50 substitution0:
% 5.00/5.50 X := X
% 5.00/5.50 end
% 5.00/5.50 permutation0:
% 5.00/5.50 0 ==> 0
% 5.00/5.50 end
% 5.00/5.50
% 5.00/5.50 resolution: (27486) {G12,W4,D2,L1,V1,M1} { coll( skol26, skol26, X ) }.
% 5.00/5.50 parent0[0]: (541) {G11,W8,D2,L2,V3,M2} R(69,480) { ! midp( X, Y, Z ), coll
% 5.00/5.50 ( Y, Y, Z ) }.
% 5.00/5.50 parent1[0]: (8125) {G13,W6,D3,L1,V1,M1} F(8026);r(121) { midp( skol7(
% 5.00/5.50 skol26, X ), skol26, X ) }.
% 5.00/5.50 substitution0:
% 5.00/5.50 X := skol7( skol26, X )
% 5.00/5.50 Y := skol26
% 5.00/5.50 Z := X
% 5.00/5.50 end
% 5.00/5.50 substitution1:
% 5.00/5.50 X := X
% 5.00/5.50 end
% 5.00/5.50
% 5.00/5.50 subsumption: (8373) {G14,W4,D2,L1,V1,M1} R(8125,541) { coll( skol26, skol26
% 5.00/5.50 , X ) }.
% 5.00/5.50 parent0: (27486) {G12,W4,D2,L1,V1,M1} { coll( skol26, skol26, X ) }.
% 5.00/5.50 substitution0:
% 5.00/5.50 X := X
% 5.00/5.50 end
% 5.00/5.50 permutation0:
% 5.00/5.50 0 ==> 0
% 5.00/5.50 end
% 5.00/5.50
% 5.00/5.50 resolution: (27487) {G1,W8,D2,L2,V2,M2} { ! coll( skol26, skol26, Y ),
% 5.00/5.50 coll( X, Y, skol26 ) }.
% 5.00/5.50 parent0[0]: (2) {G0,W12,D2,L3,V4,M3} I { ! coll( X, T, Y ), ! coll( X, T, Z
% 5.00/5.50 ), coll( Y, Z, X ) }.
% 5.00/5.50 parent1[0]: (8373) {G14,W4,D2,L1,V1,M1} R(8125,541) { coll( skol26, skol26
% 5.00/5.50 , X ) }.
% 5.00/5.50 substitution0:
% 5.00/5.50 X := skol26
% 5.00/5.50 Y := X
% 5.00/5.50 Z := Y
% 5.00/5.50 T := skol26
% 5.00/5.50 end
% 5.00/5.50 substitution1:
% 5.00/5.50 X := X
% 5.00/5.50 end
% 5.00/5.50
% 5.00/5.50 resolution: (27489) {G2,W4,D2,L1,V2,M1} { coll( Y, X, skol26 ) }.
% 5.00/5.50 parent0[0]: (27487) {G1,W8,D2,L2,V2,M2} { ! coll( skol26, skol26, Y ),
% 5.00/5.50 coll( X, Y, skol26 ) }.
% 5.00/5.50 parent1[0]: (8373) {G14,W4,D2,L1,V1,M1} R(8125,541) { coll( skol26, skol26
% 5.00/5.50 , X ) }.
% 5.00/5.50 substitution0:
% 5.00/5.50 X := Y
% 5.00/5.50 Y := X
% 5.00/5.50 end
% 5.00/5.50 substitution1:
% 5.00/5.50 X := X
% 5.00/5.50 end
% 5.00/5.50
% 5.00/5.50 subsumption: (8485) {G15,W4,D2,L1,V2,M1} R(8373,2);r(8373) { coll( Y, X,
% 5.00/5.50 skol26 ) }.
% 5.00/5.50 parent0: (27489) {G2,W4,D2,L1,V2,M1} { coll( Y, X, skol26 ) }.
% 5.00/5.50 substitution0:
% 5.00/5.50 X := X
% 5.00/5.50 Y := Y
% 5.00/5.50 end
% 5.00/5.50 permutation0:
% 5.00/5.50 0 ==> 0
% 5.00/5.50 end
% 5.00/5.50
% 5.00/5.50 resolution: (27490) {G2,W4,D2,L1,V2,M1} { coll( Y, skol26, X ) }.
% 5.00/5.50 parent0[0]: (165) {G1,W8,D2,L2,V3,M2} R(1,0) { ! coll( X, Y, Z ), coll( Y,
% 5.00/5.50 Z, X ) }.
% 5.00/5.50 parent1[0]: (8485) {G15,W4,D2,L1,V2,M1} R(8373,2);r(8373) { coll( Y, X,
% 5.00/5.50 skol26 ) }.
% 5.00/5.50 substitution0:
% 5.00/5.50 X := X
% 5.00/5.50 Y := Y
% 5.00/5.50 Z := skol26
% 5.00/5.50 end
% 5.00/5.50 substitution1:
% 5.00/5.50 X := Y
% 5.00/5.50 Y := X
% 5.00/5.50 end
% 5.00/5.50
% 5.00/5.50 subsumption: (8511) {G16,W4,D2,L1,V2,M1} R(8485,165) { coll( X, skol26, Y )
% 5.00/5.50 }.
% 5.00/5.50 parent0: (27490) {G2,W4,D2,L1,V2,M1} { coll( Y, skol26, X ) }.
% 5.00/5.50 substitution0:
% 5.00/5.50 X := Y
% 5.00/5.50 Y := X
% 5.00/5.50 end
% 5.00/5.50 permutation0:
% 5.00/5.50 0 ==> 0
% 5.00/5.50 end
% 5.00/5.50
% 5.00/5.50 resolution: (27491) {G1,W8,D2,L2,V3,M2} { ! coll( X, skol26, Z ), coll( Y
% 5.00/5.50 , Z, X ) }.
% 5.00/5.50 parent0[0]: (2) {G0,W12,D2,L3,V4,M3} I { ! coll( X, T, Y ), ! coll( X, T, Z
% 5.00/5.50 ), coll( Y, Z, X ) }.
% 5.00/5.50 parent1[0]: (8511) {G16,W4,D2,L1,V2,M1} R(8485,165) { coll( X, skol26, Y )
% 5.00/5.50 }.
% 5.00/5.50 substitution0:
% 5.00/5.50 X := X
% 5.00/5.50 Y := Y
% 5.00/5.50 Z := Z
% 5.00/5.50 T := skol26
% 5.00/5.50 end
% 5.00/5.50 substitution1:
% 5.00/5.50 X := X
% 5.00/5.50 Y := Y
% 5.00/5.50 end
% 5.00/5.50
% 5.00/5.50 resolution: (27493) {G2,W4,D2,L1,V3,M1} { coll( Z, Y, X ) }.
% 5.00/5.50 parent0[0]: (27491) {G1,W8,D2,L2,V3,M2} { ! coll( X, skol26, Z ), coll( Y
% 5.00/5.50 , Z, X ) }.
% 5.00/5.50 parent1[0]: (8511) {G16,W4,D2,L1,V2,M1} R(8485,165) { coll( X, skol26, Y )
% 5.00/5.50 }.
% 5.00/5.50 substitution0:
% 5.00/5.50 X := X
% 5.00/5.50 Y := Z
% 5.00/5.50 Z := Y
% 5.00/5.50 end
% 5.00/5.50 substitution1:
% 5.00/5.50 X := X
% 5.00/5.50 Y := Y
% 5.00/5.50 end
% 5.00/5.50
% 5.00/5.50 subsumption: (8524) {G17,W4,D2,L1,V3,M1} R(8511,2);r(8511) { coll( Z, Y, X
% 5.00/5.50 ) }.
% 5.00/5.50 parent0: (27493) {G2,W4,D2,L1,V3,M1} { coll( Z, Y, X ) }.
% 5.00/5.50 substitution0:
% 5.00/5.50 X := X
% 5.00/5.50 Y := Y
% 5.00/5.50 Z := Z
% 5.00/5.50 end
% 5.00/5.50 permutation0:
% 5.00/5.50 0 ==> 0
% 5.00/5.50 end
% 5.00/5.50
% 5.00/5.50 resolution: (27494) {G1,W7,D3,L1,V0,M1} { perp( skol27, skol22, skol12(
% 5.00/5.50 skol27, skol22 ), skol27 ) }.
% 5.00/5.50 parent0[0]: (7) {G0,W10,D2,L2,V4,M2} I { ! perp( X, Y, Z, T ), perp( Z, T,
% 5.00/5.50 X, Y ) }.
% 5.00/5.50 parent1[0]: (7955) {G4,W7,D3,L1,V0,M1} R(7165,100) { perp( skol12( skol27,
% 5.00/5.50 skol22 ), skol27, skol27, skol22 ) }.
% 5.00/5.50 substitution0:
% 5.00/5.50 X := skol12( skol27, skol22 )
% 5.00/5.50 Y := skol27
% 5.00/5.50 Z := skol27
% 5.00/5.50 T := skol22
% 5.00/5.50 end
% 5.00/5.50 substitution1:
% 5.00/5.50 end
% 5.00/5.50
% 5.00/5.50 subsumption: (8711) {G5,W7,D3,L1,V0,M1} R(7955,7) { perp( skol27, skol22,
% 5.00/5.50 skol12( skol27, skol22 ), skol27 ) }.
% 5.00/5.50 parent0: (27494) {G1,W7,D3,L1,V0,M1} { perp( skol27, skol22, skol12(
% 5.00/5.50 skol27, skol22 ), skol27 ) }.
% 5.00/5.50 substitution0:
% 5.00/5.50 end
% 5.00/5.50 permutation0:
% 5.00/5.50 0 ==> 0
% 5.00/5.50 end
% 5.00/5.50
% 5.00/5.50 resolution: (27495) {G1,W7,D3,L1,V0,M1} { perp( skol27, skol22, skol27,
% 5.00/5.50 skol12( skol27, skol22 ) ) }.
% 5.00/5.50 parent0[0]: (6) {G0,W10,D2,L2,V4,M2} I { ! perp( X, Y, Z, T ), perp( X, Y,
% 5.00/5.50 T, Z ) }.
% 5.00/5.50 parent1[0]: (8711) {G5,W7,D3,L1,V0,M1} R(7955,7) { perp( skol27, skol22,
% 5.00/5.50 skol12( skol27, skol22 ), skol27 ) }.
% 5.00/5.50 substitution0:
% 5.00/5.50 X := skol27
% 5.00/5.50 Y := skol22
% 5.00/5.50 Z := skol12( skol27, skol22 )
% 5.00/5.50 T := skol27
% 5.00/5.50 end
% 5.00/5.50 substitution1:
% 5.00/5.50 end
% 5.00/5.50
% 5.00/5.50 subsumption: (8720) {G6,W7,D3,L1,V0,M1} R(8711,6) { perp( skol27, skol22,
% 5.00/5.50 skol27, skol12( skol27, skol22 ) ) }.
% 5.00/5.50 parent0: (27495) {G1,W7,D3,L1,V0,M1} { perp( skol27, skol22, skol27,
% 5.00/5.50 skol12( skol27, skol22 ) ) }.
% 5.00/5.50 substitution0:
% 5.00/5.50 end
% 5.00/5.50 permutation0:
% 5.00/5.50 0 ==> 0
% 5.00/5.50 end
% 5.00/5.50
% 5.00/5.50 resolution: (27496) {G1,W7,D3,L1,V0,M1} { perp( skol27, skol12( skol27,
% 5.00/5.50 skol22 ), skol27, skol22 ) }.
% 5.00/5.50 parent0[0]: (7) {G0,W10,D2,L2,V4,M2} I { ! perp( X, Y, Z, T ), perp( Z, T,
% 5.00/5.50 X, Y ) }.
% 5.00/5.50 parent1[0]: (8720) {G6,W7,D3,L1,V0,M1} R(8711,6) { perp( skol27, skol22,
% 5.00/5.50 skol27, skol12( skol27, skol22 ) ) }.
% 5.00/5.50 substitution0:
% 5.00/5.50 X := skol27
% 5.00/5.50 Y := skol22
% 5.00/5.50 Z := skol27
% 5.00/5.50 T := skol12( skol27, skol22 )
% 5.00/5.50 end
% 5.00/5.50 substitution1:
% 5.00/5.50 end
% 5.00/5.50
% 5.00/5.50 subsumption: (8728) {G7,W7,D3,L1,V0,M1} R(8720,7) { perp( skol27, skol12(
% 5.00/5.50 skol27, skol22 ), skol27, skol22 ) }.
% 5.00/5.50 parent0: (27496) {G1,W7,D3,L1,V0,M1} { perp( skol27, skol12( skol27,
% 5.00/5.50 skol22 ), skol27, skol22 ) }.
% 5.00/5.50 substitution0:
% 5.00/5.50 end
% 5.00/5.50 permutation0:
% 5.00/5.50 0 ==> 0
% 5.00/5.50 end
% 5.00/5.50
% 5.00/5.50 resolution: (27497) {G1,W7,D3,L1,V0,M1} { perp( skol27, skol12( skol27,
% 5.00/5.50 skol22 ), skol22, skol27 ) }.
% 5.00/5.50 parent0[0]: (6) {G0,W10,D2,L2,V4,M2} I { ! perp( X, Y, Z, T ), perp( X, Y,
% 5.00/5.50 T, Z ) }.
% 5.00/5.50 parent1[0]: (8728) {G7,W7,D3,L1,V0,M1} R(8720,7) { perp( skol27, skol12(
% 5.00/5.50 skol27, skol22 ), skol27, skol22 ) }.
% 5.00/5.50 substitution0:
% 5.00/5.50 X := skol27
% 5.00/5.50 Y := skol12( skol27, skol22 )
% 5.00/5.50 Z := skol27
% 5.00/5.50 T := skol22
% 5.00/5.50 end
% 5.00/5.50 substitution1:
% 5.00/5.50 end
% 5.00/5.50
% 5.00/5.50 subsumption: (8737) {G8,W7,D3,L1,V0,M1} R(8728,6) { perp( skol27, skol12(
% 5.00/5.50 skol27, skol22 ), skol22, skol27 ) }.
% 5.00/5.50 parent0: (27497) {G1,W7,D3,L1,V0,M1} { perp( skol27, skol12( skol27,
% 5.00/5.50 skol22 ), skol22, skol27 ) }.
% 5.00/5.50 substitution0:
% 5.00/5.50 end
% 5.00/5.50 permutation0:
% 5.00/5.50 0 ==> 0
% 5.00/5.50 end
% 5.00/5.50
% 5.00/5.50 resolution: (27498) {G1,W7,D3,L1,V0,M1} { perp( skol22, skol27, skol27,
% 5.00/5.50 skol12( skol27, skol22 ) ) }.
% 5.00/5.50 parent0[0]: (7) {G0,W10,D2,L2,V4,M2} I { ! perp( X, Y, Z, T ), perp( Z, T,
% 5.00/5.50 X, Y ) }.
% 5.00/5.50 parent1[0]: (8737) {G8,W7,D3,L1,V0,M1} R(8728,6) { perp( skol27, skol12(
% 5.00/5.50 skol27, skol22 ), skol22, skol27 ) }.
% 5.00/5.50 substitution0:
% 5.00/5.50 X := skol27
% 5.00/5.50 Y := skol12( skol27, skol22 )
% 5.00/5.50 Z := skol22
% 5.00/5.50 T := skol27
% 5.00/5.50 end
% 5.00/5.50 substitution1:
% 5.00/5.50 end
% 5.00/5.50
% 5.00/5.50 subsumption: (8746) {G9,W7,D3,L1,V0,M1} R(8737,7) { perp( skol22, skol27,
% 5.00/5.50 skol27, skol12( skol27, skol22 ) ) }.
% 5.00/5.50 parent0: (27498) {G1,W7,D3,L1,V0,M1} { perp( skol22, skol27, skol27,
% 5.00/5.50 skol12( skol27, skol22 ) ) }.
% 5.00/5.50 substitution0:
% 5.00/5.50 end
% 5.00/5.50 permutation0:
% 5.00/5.50 0 ==> 0
% 5.00/5.50 end
% 5.00/5.50
% 5.00/5.50 resolution: (27499) {G1,W14,D3,L2,V2,M2} { ! coll( skol12( skol27, skol22
% 5.00/5.50 ), X, Y ), perp( skol16( skol22, X, Y ), skol22, X, Y ) }.
% 5.00/5.50 parent0[0]: (110) {G0,W17,D3,L3,V5,M3} I { ! perp( X, U, U, T ), ! coll( T
% 5.00/5.50 , Y, Z ), perp( skol16( X, Y, Z ), X, Y, Z ) }.
% 5.00/5.50 parent1[0]: (8746) {G9,W7,D3,L1,V0,M1} R(8737,7) { perp( skol22, skol27,
% 5.00/5.50 skol27, skol12( skol27, skol22 ) ) }.
% 5.00/5.50 substitution0:
% 5.00/5.50 X := skol22
% 5.00/5.50 Y := X
% 5.00/5.50 Z := Y
% 5.00/5.50 T := skol12( skol27, skol22 )
% 5.00/5.50 U := skol27
% 5.00/5.50 end
% 5.00/5.50 substitution1:
% 5.00/5.50 end
% 5.00/5.50
% 5.00/5.50 resolution: (27500) {G2,W8,D3,L1,V2,M1} { perp( skol16( skol22, X, Y ),
% 5.00/5.50 skol22, X, Y ) }.
% 5.00/5.50 parent0[0]: (27499) {G1,W14,D3,L2,V2,M2} { ! coll( skol12( skol27, skol22
% 5.00/5.50 ), X, Y ), perp( skol16( skol22, X, Y ), skol22, X, Y ) }.
% 5.00/5.50 parent1[0]: (8524) {G17,W4,D2,L1,V3,M1} R(8511,2);r(8511) { coll( Z, Y, X )
% 5.00/5.50 }.
% 5.00/5.50 substitution0:
% 5.00/5.50 X := X
% 5.00/5.50 Y := Y
% 5.00/5.50 end
% 5.00/5.50 substitution1:
% 5.00/5.50 X := Y
% 5.00/5.50 Y := X
% 5.00/5.50 Z := skol12( skol27, skol22 )
% 5.00/5.50 end
% 5.00/5.50
% 5.00/5.50 subsumption: (8748) {G18,W8,D3,L1,V2,M1} R(8746,110);r(8524) { perp( skol16
% 5.00/5.50 ( skol22, X, Y ), skol22, X, Y ) }.
% 5.00/5.50 parent0: (27500) {G2,W8,D3,L1,V2,M1} { perp( skol16( skol22, X, Y ),
% 5.00/5.50 skol22, X, Y ) }.
% 5.00/5.50 substitution0:
% 5.00/5.50 X := X
% 5.00/5.50 Y := Y
% 5.00/5.50 end
% 5.00/5.50 permutation0:
% 5.00/5.50 0 ==> 0
% 5.00/5.50 end
% 5.00/5.50
% 5.00/5.50 resolution: (27501) {G2,W8,D3,L1,V2,M1} { perp( X, Y, skol16( skol22, Y, X
% 5.00/5.50 ), skol22 ) }.
% 5.00/5.50 parent0[1]: (268) {G1,W10,D2,L2,V4,M2} R(7,6) { perp( X, Y, Z, T ), ! perp
% 5.00/5.50 ( Z, T, Y, X ) }.
% 5.00/5.50 parent1[0]: (8748) {G18,W8,D3,L1,V2,M1} R(8746,110);r(8524) { perp( skol16
% 5.00/5.50 ( skol22, X, Y ), skol22, X, Y ) }.
% 5.00/5.50 substitution0:
% 5.00/5.50 X := X
% 5.00/5.50 Y := Y
% 5.00/5.50 Z := skol16( skol22, Y, X )
% 5.00/5.50 T := skol22
% 5.00/5.50 end
% 5.00/5.50 substitution1:
% 5.00/5.50 X := Y
% 5.00/5.50 Y := X
% 5.00/5.50 end
% 5.00/5.50
% 5.00/5.50 subsumption: (9558) {G19,W8,D3,L1,V2,M1} R(8748,268) { perp( X, Y, skol16(
% 5.00/5.50 skol22, Y, X ), skol22 ) }.
% 5.00/5.50 parent0: (27501) {G2,W8,D3,L1,V2,M1} { perp( X, Y, skol16( skol22, Y, X )
% 5.00/5.50 , skol22 ) }.
% 5.00/5.50 substitution0:
% 5.00/5.50 X := X
% 5.00/5.50 Y := Y
% 5.00/5.50 end
% 5.00/5.50 permutation0:
% 5.00/5.50 0 ==> 0
% 5.00/5.50 end
% 5.00/5.50
% 5.00/5.50 resolution: (27502) {G3,W5,D2,L1,V2,M1} { para( X, Y, X, Y ) }.
% 5.00/5.50 parent0[0]: (293) {G2,W10,D2,L2,V4,M2} F(281) { ! perp( X, Y, Z, T ), para
% 5.00/5.50 ( X, Y, X, Y ) }.
% 5.00/5.50 parent1[0]: (9558) {G19,W8,D3,L1,V2,M1} R(8748,268) { perp( X, Y, skol16(
% 5.00/5.50 skol22, Y, X ), skol22 ) }.
% 5.00/5.50 substitution0:
% 5.00/5.50 X := X
% 5.00/5.50 Y := Y
% 5.00/5.50 Z := skol16( skol22, Y, X )
% 5.00/5.50 T := skol22
% 5.00/5.50 end
% 5.00/5.50 substitution1:
% 5.00/5.50 X := X
% 5.00/5.50 Y := Y
% 5.00/5.50 end
% 5.00/5.50
% 5.00/5.50 subsumption: (9996) {G20,W5,D2,L1,V2,M1} R(293,9558) { para( X, Y, X, Y )
% 5.00/5.50 }.
% 5.00/5.50 parent0: (27502) {G3,W5,D2,L1,V2,M1} { para( X, Y, X, Y ) }.
% 5.00/5.50 substitution0:
% 5.00/5.50 X := X
% 5.00/5.50 Y := Y
% 5.00/5.50 end
% 5.00/5.50 permutation0:
% 5.00/5.50 0 ==> 0
% 5.00/5.50 end
% 5.00/5.50
% 5.00/5.50 resolution: (27503) {G7,W8,D3,L1,V2,M1} { perp( skol16( skol25, X, Y ),
% 5.00/5.50 skol25, X, Y ) }.
% 5.00/5.50 parent0[0]: (7229) {G6,W12,D3,L2,V2,M2} R(7212,110) { ! coll( skol26, X, Y
% 5.00/5.50 ), perp( skol16( skol25, X, Y ), skol25, X, Y ) }.
% 5.00/5.50 parent1[0]: (8524) {G17,W4,D2,L1,V3,M1} R(8511,2);r(8511) { coll( Z, Y, X )
% 5.00/5.50 }.
% 5.00/5.50 substitution0:
% 5.00/5.50 X := X
% 5.00/5.50 Y := Y
% 5.00/5.50 end
% 5.00/5.50 substitution1:
% 5.00/5.50 X := Y
% 5.00/5.50 Y := X
% 5.00/5.50 Z := skol26
% 5.00/5.50 end
% 5.00/5.50
% 5.00/5.50 subsumption: (20025) {G18,W8,D3,L1,V2,M1} S(7229);r(8524) { perp( skol16(
% 5.00/5.50 skol25, X, Y ), skol25, X, Y ) }.
% 5.00/5.50 parent0: (27503) {G7,W8,D3,L1,V2,M1} { perp( skol16( skol25, X, Y ),
% 5.00/5.50 skol25, X, Y ) }.
% 5.00/5.50 substitution0:
% 5.00/5.50 X := X
% 5.00/5.50 Y := Y
% 5.00/5.50 end
% 5.00/5.50 permutation0:
% 5.00/5.50 0 ==> 0
% 5.00/5.50 end
% 5.00/5.50
% 5.00/5.50 resolution: (27504) {G2,W10,D2,L2,V3,M2} { cyclic( Z, Y, X, X ), ! para( X
% 5.00/5.50 , Z, X, Z ) }.
% 5.00/5.50 parent0[0]: (784) {G1,W14,D2,L3,V3,M3} R(42,39) { ! coll( X, X, Y ), cyclic
% 5.00/5.50 ( Z, Y, X, X ), ! para( X, Z, X, Z ) }.
% 5.00/5.50 parent1[0]: (8524) {G17,W4,D2,L1,V3,M1} R(8511,2);r(8511) { coll( Z, Y, X )
% 5.00/5.50 }.
% 5.00/5.50 substitution0:
% 5.00/5.50 X := X
% 5.00/5.50 Y := Y
% 5.00/5.50 Z := Z
% 5.00/5.50 end
% 5.00/5.50 substitution1:
% 5.00/5.50 X := Y
% 5.00/5.50 Y := X
% 5.00/5.50 Z := X
% 5.00/5.50 end
% 5.00/5.50
% 5.00/5.50 resolution: (27505) {G3,W5,D2,L1,V3,M1} { cyclic( X, Y, Z, Z ) }.
% 5.00/5.50 parent0[1]: (27504) {G2,W10,D2,L2,V3,M2} { cyclic( Z, Y, X, X ), ! para( X
% 5.00/5.50 , Z, X, Z ) }.
% 5.00/5.50 parent1[0]: (9996) {G20,W5,D2,L1,V2,M1} R(293,9558) { para( X, Y, X, Y )
% 5.00/5.50 }.
% 5.00/5.50 substitution0:
% 5.00/5.50 X := Z
% 5.00/5.50 Y := Y
% 5.00/5.50 Z := X
% 5.00/5.50 end
% 5.00/5.50 substitution1:
% 5.00/5.50 X := Z
% 5.00/5.50 Y := X
% 5.00/5.50 end
% 5.00/5.50
% 5.00/5.50 subsumption: (20103) {G21,W5,D2,L1,V3,M1} S(784);r(8524);r(9996) { cyclic(
% 5.00/5.50 Z, Y, X, X ) }.
% 5.00/5.50 parent0: (27505) {G3,W5,D2,L1,V3,M1} { cyclic( X, Y, Z, Z ) }.
% 5.00/5.50 substitution0:
% 5.00/5.50 X := Z
% 5.00/5.50 Y := Y
% 5.00/5.50 Z := X
% 5.00/5.50 end
% 5.00/5.50 permutation0:
% 5.00/5.50 0 ==> 0
% 5.00/5.50 end
% 5.00/5.50
% 5.00/5.50 resolution: (27506) {G2,W5,D2,L1,V3,M1} { cyclic( Y, Z, X, Z ) }.
% 5.00/5.50 parent0[0]: (367) {G1,W10,D2,L2,V4,M2} R(15,14) { ! cyclic( X, Y, Z, T ),
% 5.00/5.50 cyclic( Y, Z, X, T ) }.
% 5.00/5.50 parent1[0]: (20103) {G21,W5,D2,L1,V3,M1} S(784);r(8524);r(9996) { cyclic( Z
% 5.00/5.50 , Y, X, X ) }.
% 5.00/5.50 substitution0:
% 5.00/5.50 X := X
% 5.00/5.50 Y := Y
% 5.00/5.50 Z := Z
% 5.00/5.50 T := Z
% 5.00/5.50 end
% 5.00/5.50 substitution1:
% 5.00/5.50 X := Z
% 5.00/5.50 Y := Y
% 5.00/5.50 Z := X
% 5.00/5.50 end
% 5.00/5.50
% 5.00/5.50 subsumption: (20121) {G22,W5,D2,L1,V3,M1} R(20103,367) { cyclic( X, Y, Z, Y
% 5.00/5.50 ) }.
% 5.00/5.50 parent0: (27506) {G2,W5,D2,L1,V3,M1} { cyclic( Y, Z, X, Z ) }.
% 5.00/5.50 substitution0:
% 5.00/5.50 X := Z
% 5.00/5.50 Y := X
% 5.00/5.50 Z := Y
% 5.00/5.50 end
% 5.00/5.50 permutation0:
% 5.00/5.50 0 ==> 0
% 5.00/5.50 end
% 5.00/5.50
% 5.00/5.50 resolution: (27507) {G2,W5,D2,L1,V3,M1} { cyclic( X, Z, Z, Y ) }.
% 5.00/5.50 parent0[0]: (349) {G1,W10,D2,L2,V4,M2} R(14,13) { ! cyclic( X, Y, Z, T ),
% 5.00/5.50 cyclic( X, Z, T, Y ) }.
% 5.00/5.50 parent1[0]: (20103) {G21,W5,D2,L1,V3,M1} S(784);r(8524);r(9996) { cyclic( Z
% 5.00/5.50 , Y, X, X ) }.
% 5.00/5.50 substitution0:
% 5.00/5.50 X := X
% 5.00/5.50 Y := Y
% 5.00/5.50 Z := Z
% 5.00/5.50 T := Z
% 5.00/5.50 end
% 5.00/5.50 substitution1:
% 5.00/5.50 X := Z
% 5.00/5.50 Y := Y
% 5.00/5.50 Z := X
% 5.00/5.50 end
% 5.00/5.50
% 5.00/5.50 subsumption: (20123) {G22,W5,D2,L1,V3,M1} R(20103,349) { cyclic( X, Y, Y, Z
% 5.00/5.50 ) }.
% 5.00/5.50 parent0: (27507) {G2,W5,D2,L1,V3,M1} { cyclic( X, Z, Z, Y ) }.
% 5.00/5.50 substitution0:
% 5.00/5.50 X := X
% 5.00/5.50 Y := Z
% 5.00/5.50 Z := Y
% 5.00/5.50 end
% 5.00/5.50 permutation0:
% 5.00/5.50 0 ==> 0
% 5.00/5.50 end
% 5.00/5.50
% 5.00/5.50 resolution: (27509) {G2,W10,D2,L2,V4,M2} { ! cyclic( X, Y, Y, Z ), cyclic
% 5.00/5.50 ( Y, Y, Z, T ) }.
% 5.00/5.50 parent0[2]: (398) {G1,W15,D2,L3,V5,M3} R(16,13) { ! cyclic( X, Y, Z, T ),
% 5.00/5.50 cyclic( Y, Z, T, U ), ! cyclic( X, Y, U, Z ) }.
% 5.00/5.50 parent1[0]: (20121) {G22,W5,D2,L1,V3,M1} R(20103,367) { cyclic( X, Y, Z, Y
% 5.00/5.50 ) }.
% 5.00/5.50 substitution0:
% 5.00/5.50 X := X
% 5.00/5.50 Y := Y
% 5.00/5.50 Z := Y
% 5.00/5.50 T := Z
% 5.00/5.50 U := T
% 5.00/5.50 end
% 5.00/5.50 substitution1:
% 5.00/5.50 X := X
% 5.00/5.50 Y := Y
% 5.00/5.50 Z := T
% 5.00/5.50 end
% 5.00/5.50
% 5.00/5.50 resolution: (27510) {G3,W5,D2,L1,V3,M1} { cyclic( Y, Y, Z, T ) }.
% 5.00/5.50 parent0[0]: (27509) {G2,W10,D2,L2,V4,M2} { ! cyclic( X, Y, Y, Z ), cyclic
% 5.00/5.50 ( Y, Y, Z, T ) }.
% 5.00/5.50 parent1[0]: (20123) {G22,W5,D2,L1,V3,M1} R(20103,349) { cyclic( X, Y, Y, Z
% 5.00/5.50 ) }.
% 5.00/5.50 substitution0:
% 5.00/5.50 X := X
% 5.00/5.50 Y := Y
% 5.00/5.50 Z := Z
% 5.00/5.50 T := T
% 5.00/5.50 end
% 5.00/5.50 substitution1:
% 5.00/5.50 X := X
% 5.00/5.50 Y := Y
% 5.00/5.50 Z := Z
% 5.00/5.50 end
% 5.00/5.50
% 5.00/5.50 subsumption: (20128) {G23,W5,D2,L1,V3,M1} R(20121,398);r(20123) { cyclic( Y
% 5.00/5.50 , Y, Z, T ) }.
% 5.00/5.50 parent0: (27510) {G3,W5,D2,L1,V3,M1} { cyclic( Y, Y, Z, T ) }.
% 5.00/5.50 substitution0:
% 5.00/5.50 X := U
% 5.00/5.50 Y := Y
% 5.00/5.50 Z := Z
% 5.00/5.50 T := T
% 5.00/5.50 end
% 5.00/5.50 permutation0:
% 5.00/5.50 0 ==> 0
% 5.00/5.50 end
% 5.00/5.50
% 5.00/5.50 resolution: (27511) {G2,W10,D2,L2,V4,M2} { cyclic( X, Y, Z, T ), ! cyclic
% 5.00/5.50 ( X, X, T, Y ) }.
% 5.00/5.50 parent0[0]: (398) {G1,W15,D2,L3,V5,M3} R(16,13) { ! cyclic( X, Y, Z, T ),
% 5.00/5.50 cyclic( Y, Z, T, U ), ! cyclic( X, Y, U, Z ) }.
% 5.00/5.50 parent1[0]: (20128) {G23,W5,D2,L1,V3,M1} R(20121,398);r(20123) { cyclic( Y
% 5.00/5.50 , Y, Z, T ) }.
% 5.00/5.50 substitution0:
% 5.00/5.50 X := X
% 5.00/5.50 Y := X
% 5.00/5.50 Z := Y
% 5.00/5.50 T := Z
% 5.00/5.50 U := T
% 5.00/5.50 end
% 5.00/5.50 substitution1:
% 5.00/5.50 X := U
% 5.00/5.50 Y := X
% 5.00/5.50 Z := Y
% 5.00/5.50 T := Z
% 5.00/5.50 end
% 5.00/5.50
% 5.00/5.50 resolution: (27513) {G3,W5,D2,L1,V4,M1} { cyclic( X, Y, Z, T ) }.
% 5.00/5.50 parent0[1]: (27511) {G2,W10,D2,L2,V4,M2} { cyclic( X, Y, Z, T ), ! cyclic
% 5.00/5.50 ( X, X, T, Y ) }.
% 5.00/5.50 parent1[0]: (20128) {G23,W5,D2,L1,V3,M1} R(20121,398);r(20123) { cyclic( Y
% 5.00/5.50 , Y, Z, T ) }.
% 5.00/5.50 substitution0:
% 5.00/5.50 X := X
% 5.00/5.50 Y := Y
% 5.00/5.50 Z := Z
% 5.00/5.50 T := T
% 5.00/5.50 end
% 5.00/5.50 substitution1:
% 5.00/5.50 X := U
% 5.00/5.50 Y := X
% 5.00/5.50 Z := T
% 5.00/5.50 T := Y
% 5.00/5.50 end
% 5.00/5.50
% 5.00/5.50 subsumption: (20136) {G24,W5,D2,L1,V4,M1} R(20128,398);r(20128) { cyclic( X
% 5.00/5.50 , Y, Z, T ) }.
% 5.00/5.50 parent0: (27513) {G3,W5,D2,L1,V4,M1} { cyclic( X, Y, Z, T ) }.
% 5.00/5.50 substitution0:
% 5.00/5.50 X := X
% 5.00/5.50 Y := Y
% 5.00/5.50 Z := Z
% 5.00/5.50 T := T
% 5.00/5.50 end
% 5.00/5.50 permutation0:
% 5.00/5.50 0 ==> 0
% 5.00/5.50 end
% 5.00/5.50
% 5.00/5.50 resolution: (27514) {G2,W8,D3,L1,V0,M1} { ! para( skol20, skol23, skol16(
% 5.00/5.50 skol25, skol20, skol22 ), skol25 ) }.
% 5.00/5.50 parent0[1]: (311) {G1,W10,D2,L2,V2,M2} R(9,122) { ! para( skol20, skol23, X
% 5.00/5.50 , Y ), ! perp( X, Y, skol20, skol22 ) }.
% 5.00/5.50 parent1[0]: (20025) {G18,W8,D3,L1,V2,M1} S(7229);r(8524) { perp( skol16(
% 5.00/5.50 skol25, X, Y ), skol25, X, Y ) }.
% 5.00/5.50 substitution0:
% 5.00/5.50 X := skol16( skol25, skol20, skol22 )
% 5.00/5.50 Y := skol25
% 5.00/5.50 end
% 5.00/5.50 substitution1:
% 5.00/5.50 X := skol20
% 5.00/5.50 Y := skol22
% 5.00/5.50 end
% 5.00/5.50
% 5.00/5.50 subsumption: (21670) {G19,W8,D3,L1,V0,M1} R(20025,311) { ! para( skol20,
% 5.00/5.50 skol23, skol16( skol25, skol20, skol22 ), skol25 ) }.
% 5.00/5.50 parent0: (27514) {G2,W8,D3,L1,V0,M1} { ! para( skol20, skol23, skol16(
% 5.00/5.50 skol25, skol20, skol22 ), skol25 ) }.
% 5.00/5.50 substitution0:
% 5.00/5.50 end
% 5.00/5.50 permutation0:
% 5.00/5.50 0 ==> 0
% 5.00/5.50 end
% 5.00/5.50
% 5.00/5.50 resolution: (27517) {G3,W10,D2,L2,V3,M2} { ! cyclic( X, Y, Z, Y ), cong( X
% 5.00/5.50 , Y, X, Y ) }.
% 5.00/5.50 parent0[0]: (941) {G2,W15,D2,L3,V3,M3} F(909) { ! cyclic( X, Y, Z, X ), !
% 5.00/5.50 cyclic( X, Y, Z, Y ), cong( X, Y, X, Y ) }.
% 5.00/5.50 parent1[0]: (20136) {G24,W5,D2,L1,V4,M1} R(20128,398);r(20128) { cyclic( X
% 5.00/5.50 , Y, Z, T ) }.
% 5.00/5.50 substitution0:
% 5.00/5.50 X := X
% 5.00/5.50 Y := Y
% 5.00/5.50 Z := Z
% 5.00/5.50 end
% 5.00/5.50 substitution1:
% 5.00/5.50 X := X
% 5.00/5.50 Y := Y
% 5.00/5.50 Z := Z
% 5.00/5.50 T := X
% 5.00/5.50 end
% 5.00/5.50
% 5.00/5.50 resolution: (27519) {G4,W5,D2,L1,V2,M1} { cong( X, Y, X, Y ) }.
% 5.00/5.50 parent0[0]: (27517) {G3,W10,D2,L2,V3,M2} { ! cyclic( X, Y, Z, Y ), cong( X
% 5.00/5.50 , Y, X, Y ) }.
% 5.00/5.50 parent1[0]: (20136) {G24,W5,D2,L1,V4,M1} R(20128,398);r(20128) { cyclic( X
% 5.00/5.50 , Y, Z, T ) }.
% 5.00/5.50 substitution0:
% 5.00/5.50 X := X
% 5.00/5.50 Y := Y
% 5.00/5.50 Z := Z
% 5.00/5.50 end
% 5.00/5.50 substitution1:
% 5.00/5.50 X := X
% 5.00/5.50 Y := Y
% 5.00/5.50 Z := Z
% 5.00/5.50 T := Y
% 5.00/5.50 end
% 5.00/5.50
% 5.00/5.50 subsumption: (26735) {G25,W5,D2,L1,V2,M1} S(941);r(20136);r(20136) { cong(
% 5.00/5.50 X, Y, X, Y ) }.
% 5.00/5.50 parent0: (27519) {G4,W5,D2,L1,V2,M1} { cong( X, Y, X, Y ) }.
% 5.00/5.50 substitution0:
% 5.00/5.50 X := X
% 5.00/5.50 Y := Y
% 5.00/5.50 end
% 5.00/5.50 permutation0:
% 5.00/5.50 0 ==> 0
% 5.00/5.50 end
% 5.00/5.50
% 5.00/5.50 resolution: (27520) {G1,W10,D2,L2,V3,M2} { ! cong( X, Z, X, Z ), perp( X,
% 5.00/5.50 X, Y, Z ) }.
% 5.00/5.50 parent0[0]: (56) {G0,W15,D2,L3,V4,M3} I { ! cong( X, Z, Y, Z ), ! cong( X,
% 5.00/5.50 T, Y, T ), perp( X, Y, Z, T ) }.
% 5.00/5.50 parent1[0]: (26735) {G25,W5,D2,L1,V2,M1} S(941);r(20136);r(20136) { cong( X
% 5.00/5.50 , Y, X, Y ) }.
% 5.00/5.50 substitution0:
% 5.00/5.50 X := X
% 5.00/5.50 Y := X
% 5.00/5.50 Z := Y
% 5.00/5.50 T := Z
% 5.00/5.50 end
% 5.00/5.50 substitution1:
% 5.00/5.50 X := X
% 5.00/5.50 Y := Y
% 5.00/5.50 end
% 5.00/5.50
% 5.00/5.50 resolution: (27522) {G2,W5,D2,L1,V3,M1} { perp( X, X, Z, Y ) }.
% 5.00/5.50 parent0[0]: (27520) {G1,W10,D2,L2,V3,M2} { ! cong( X, Z, X, Z ), perp( X,
% 5.00/5.50 X, Y, Z ) }.
% 5.00/5.50 parent1[0]: (26735) {G25,W5,D2,L1,V2,M1} S(941);r(20136);r(20136) { cong( X
% 5.00/5.50 , Y, X, Y ) }.
% 5.00/5.50 substitution0:
% 5.00/5.50 X := X
% 5.00/5.50 Y := Z
% 5.00/5.50 Z := Y
% 5.00/5.50 end
% 5.00/5.50 substitution1:
% 5.00/5.50 X := X
% 5.00/5.50 Y := Y
% 5.00/5.50 end
% 5.00/5.50
% 5.00/5.50 subsumption: (26746) {G26,W5,D2,L1,V3,M1} R(26735,56);r(26735) { perp( X, X
% 5.00/5.50 , Z, Y ) }.
% 5.00/5.50 parent0: (27522) {G2,W5,D2,L1,V3,M1} { perp( X, X, Z, Y ) }.
% 5.00/5.50 substitution0:
% 5.00/5.50 X := X
% 5.00/5.50 Y := Y
% 5.00/5.50 Z := Z
% 5.00/5.50 end
% 5.00/5.50 permutation0:
% 5.00/5.50 0 ==> 0
% 5.00/5.50 end
% 5.00/5.50
% 5.00/5.50 resolution: (27523) {G2,W10,D2,L2,V5,M2} { para( T, U, Y, Z ), ! perp( X,
% 5.00/5.50 X, T, U ) }.
% 5.00/5.50 parent0[0]: (280) {G1,W15,D2,L3,V6,M3} R(8,7) { ! perp( X, Y, Z, T ), para
% 5.00/5.50 ( U, W, Z, T ), ! perp( X, Y, U, W ) }.
% 5.00/5.50 parent1[0]: (26746) {G26,W5,D2,L1,V3,M1} R(26735,56);r(26735) { perp( X, X
% 5.00/5.50 , Z, Y ) }.
% 5.00/5.50 substitution0:
% 5.00/5.50 X := X
% 5.00/5.50 Y := X
% 5.00/5.50 Z := Y
% 5.00/5.50 T := Z
% 5.00/5.50 U := T
% 5.00/5.50 W := U
% 5.00/5.50 end
% 5.00/5.50 substitution1:
% 5.00/5.50 X := X
% 5.00/5.50 Y := Z
% 5.00/5.50 Z := Y
% 5.00/5.50 end
% 5.00/5.50
% 5.00/5.50 resolution: (27525) {G3,W5,D2,L1,V4,M1} { para( X, Y, Z, T ) }.
% 5.00/5.50 parent0[1]: (27523) {G2,W10,D2,L2,V5,M2} { para( T, U, Y, Z ), ! perp( X,
% 5.00/5.50 X, T, U ) }.
% 5.00/5.50 parent1[0]: (26746) {G26,W5,D2,L1,V3,M1} R(26735,56);r(26735) { perp( X, X
% 5.00/5.50 , Z, Y ) }.
% 5.00/5.50 substitution0:
% 5.00/5.50 X := U
% 5.00/5.50 Y := Z
% 5.00/5.50 Z := T
% 5.00/5.50 T := X
% 5.00/5.50 U := Y
% 5.00/5.50 end
% 5.00/5.50 substitution1:
% 5.00/5.50 X := U
% 5.00/5.50 Y := Y
% 5.00/5.50 Z := X
% 5.00/5.50 end
% 5.00/5.50
% 5.00/5.50 subsumption: (26783) {G27,W5,D2,L1,V4,M1} R(26746,280);r(26746) { para( X,
% 5.00/5.50 Y, Z, T ) }.
% 5.00/5.50 parent0: (27525) {G3,W5,D2,L1,V4,M1} { para( X, Y, Z, T ) }.
% 5.00/5.50 substitution0:
% 5.00/5.50 X := X
% 5.00/5.50 Y := Y
% 5.00/5.50 Z := Z
% 5.00/5.50 T := T
% 5.00/5.50 end
% 5.00/5.50 permutation0:
% 5.00/5.50 0 ==> 0
% 5.00/5.50 end
% 5.00/5.50
% 5.00/5.50 resolution: (27526) {G20,W0,D0,L0,V0,M0} { }.
% 5.00/5.50 parent0[0]: (21670) {G19,W8,D3,L1,V0,M1} R(20025,311) { ! para( skol20,
% 5.00/5.50 skol23, skol16( skol25, skol20, skol22 ), skol25 ) }.
% 5.00/5.50 parent1[0]: (26783) {G27,W5,D2,L1,V4,M1} R(26746,280);r(26746) { para( X, Y
% 5.00/5.50 , Z, T ) }.
% 5.00/5.50 substitution0:
% 5.00/5.50 end
% 5.00/5.50 substitution1:
% 5.00/5.50 X := skol20
% 5.00/5.50 Y := skol23
% 5.00/5.50 Z := skol16( skol25, skol20, skol22 )
% 5.00/5.50 T := skol25
% 5.00/5.50 end
% 5.00/5.50
% 5.00/5.50 subsumption: (26795) {G28,W0,D0,L0,V0,M0} R(26783,21670) { }.
% 5.00/5.50 parent0: (27526) {G20,W0,D0,L0,V0,M0} { }.
% 5.00/5.50 substitution0:
% 5.00/5.50 end
% 5.00/5.50 permutation0:
% 5.00/5.50 end
% 5.00/5.50
% 5.00/5.50 Proof check complete!
% 5.00/5.50
% 5.00/5.50 Memory use:
% 5.00/5.50
% 5.00/5.50 space for terms: 416876
% 5.00/5.50 space for clauses: 1418719
% 5.00/5.50
% 5.00/5.50
% 5.00/5.50 clauses generated: 145494
% 5.00/5.50 clauses kept: 26796
% 5.00/5.50 clauses selected: 2148
% 5.00/5.50 clauses deleted: 6707
% 5.00/5.50 clauses inuse deleted: 644
% 5.00/5.50
% 5.00/5.50 subsentry: 2231639
% 5.00/5.50 literals s-matched: 1425400
% 5.00/5.50 literals matched: 847085
% 5.00/5.50 full subsumption: 333801
% 5.00/5.50
% 5.00/5.50 checksum: 1115462926
% 5.00/5.50
% 5.00/5.50
% 5.00/5.50 Bliksem ended
%------------------------------------------------------------------------------