TSTP Solution File: GEO639+1 by Bliksem---1.12
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- Process Solution
%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : GEO639+1 : TPTP v8.1.0. Released v7.5.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n014.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 02:55:17 EDT 2022
% Result : Theorem 4.13s 4.49s
% Output : Refutation 4.13s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12 % Problem : GEO639+1 : TPTP v8.1.0. Released v7.5.0.
% 0.04/0.13 % Command : bliksem %s
% 0.13/0.35 % Computer : n014.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % DateTime : Sat Jun 18 09:49:34 EDT 2022
% 0.13/0.35 % CPUTime :
% 0.76/1.22 *** allocated 10000 integers for termspace/termends
% 0.76/1.22 *** allocated 10000 integers for clauses
% 0.76/1.22 *** allocated 10000 integers for justifications
% 0.76/1.22 Bliksem 1.12
% 0.76/1.22
% 0.76/1.22
% 0.76/1.22 Automatic Strategy Selection
% 0.76/1.22
% 0.76/1.22 *** allocated 15000 integers for termspace/termends
% 0.76/1.22
% 0.76/1.22 Clauses:
% 0.76/1.22
% 0.76/1.22 { ! coll( X, Y, Z ), coll( X, Z, Y ) }.
% 0.76/1.22 { ! coll( X, Y, Z ), coll( Y, X, Z ) }.
% 0.76/1.22 { ! coll( X, T, Y ), ! coll( X, T, Z ), coll( Y, Z, X ) }.
% 0.76/1.22 { ! para( X, Y, Z, T ), para( X, Y, T, Z ) }.
% 0.76/1.22 { ! para( X, Y, Z, T ), para( Z, T, X, Y ) }.
% 0.76/1.22 { ! para( X, Y, U, W ), ! para( U, W, Z, T ), para( X, Y, Z, T ) }.
% 0.76/1.22 { ! perp( X, Y, Z, T ), perp( X, Y, T, Z ) }.
% 0.76/1.22 { ! perp( X, Y, Z, T ), perp( Z, T, X, Y ) }.
% 0.76/1.22 { ! perp( X, Y, U, W ), ! perp( U, W, Z, T ), para( X, Y, Z, T ) }.
% 0.76/1.22 { ! para( X, Y, U, W ), ! perp( U, W, Z, T ), perp( X, Y, Z, T ) }.
% 0.76/1.22 { ! midp( Z, Y, X ), midp( Z, X, Y ) }.
% 0.76/1.22 { ! cong( T, X, T, Y ), ! cong( T, X, T, Z ), circle( T, X, Y, Z ) }.
% 0.76/1.22 { ! cong( U, X, U, Y ), ! cong( U, X, U, Z ), ! cong( U, X, U, T ), cyclic
% 0.76/1.22 ( X, Y, Z, T ) }.
% 0.76/1.22 { ! cyclic( X, Y, Z, T ), cyclic( X, Y, T, Z ) }.
% 0.76/1.22 { ! cyclic( X, Y, Z, T ), cyclic( X, Z, Y, T ) }.
% 0.76/1.22 { ! cyclic( X, Y, Z, T ), cyclic( Y, X, Z, T ) }.
% 0.76/1.22 { ! cyclic( U, X, Y, Z ), ! cyclic( U, X, Y, T ), cyclic( X, Y, Z, T ) }.
% 0.76/1.22 { ! eqangle( X, Y, Z, T, U, W, V0, V1 ), eqangle( Y, X, Z, T, U, W, V0, V1
% 0.76/1.22 ) }.
% 0.76/1.22 { ! eqangle( X, Y, Z, T, U, W, V0, V1 ), eqangle( Z, T, X, Y, V0, V1, U, W
% 0.76/1.22 ) }.
% 0.76/1.22 { ! eqangle( X, Y, Z, T, U, W, V0, V1 ), eqangle( U, W, V0, V1, X, Y, Z, T
% 0.76/1.22 ) }.
% 0.76/1.22 { ! eqangle( X, Y, Z, T, U, W, V0, V1 ), eqangle( X, Y, U, W, Z, T, V0, V1
% 0.76/1.22 ) }.
% 0.76/1.22 { ! eqangle( X, Y, Z, T, V2, V3, V4, V5 ), ! eqangle( V2, V3, V4, V5, U, W
% 0.76/1.22 , V0, V1 ), eqangle( X, Y, Z, T, U, W, V0, V1 ) }.
% 0.76/1.22 { ! cong( X, Y, Z, T ), cong( X, Y, T, Z ) }.
% 0.76/1.22 { ! cong( X, Y, Z, T ), cong( Z, T, X, Y ) }.
% 0.76/1.22 { ! cong( X, Y, U, W ), ! cong( U, W, Z, T ), cong( X, Y, Z, T ) }.
% 0.76/1.22 { ! eqratio( X, Y, Z, T, U, W, V0, V1 ), eqratio( Y, X, Z, T, U, W, V0, V1
% 0.76/1.22 ) }.
% 0.76/1.22 { ! eqratio( X, Y, Z, T, U, W, V0, V1 ), eqratio( Z, T, X, Y, V0, V1, U, W
% 0.76/1.22 ) }.
% 0.76/1.22 { ! eqratio( X, Y, Z, T, U, W, V0, V1 ), eqratio( U, W, V0, V1, X, Y, Z, T
% 0.76/1.22 ) }.
% 0.76/1.22 { ! eqratio( X, Y, Z, T, U, W, V0, V1 ), eqratio( X, Y, U, W, Z, T, V0, V1
% 0.76/1.22 ) }.
% 0.76/1.22 { ! eqratio( X, Y, Z, T, V2, V3, V4, V5 ), ! eqratio( V2, V3, V4, V5, U, W
% 0.76/1.22 , V0, V1 ), eqratio( X, Y, Z, T, U, W, V0, V1 ) }.
% 0.76/1.22 { ! simtri( X, Z, Y, T, W, U ), simtri( X, Y, Z, T, U, W ) }.
% 0.76/1.22 { ! simtri( Y, X, Z, U, T, W ), simtri( X, Y, Z, T, U, W ) }.
% 0.76/1.22 { ! simtri( T, U, W, X, Y, Z ), simtri( X, Y, Z, T, U, W ) }.
% 0.76/1.22 { ! simtri( X, Y, Z, V0, V1, V2 ), ! simtri( V0, V1, V2, T, U, W ), simtri
% 0.76/1.22 ( X, Y, Z, T, U, W ) }.
% 0.76/1.22 { ! contri( X, Z, Y, T, W, U ), contri( X, Y, Z, T, U, W ) }.
% 0.76/1.22 { ! contri( Y, X, Z, U, T, W ), contri( X, Y, Z, T, U, W ) }.
% 0.76/1.22 { ! contri( T, U, W, X, Y, Z ), contri( X, Y, Z, T, U, W ) }.
% 0.76/1.22 { ! contri( X, Y, Z, V0, V1, V2 ), ! contri( V0, V1, V2, T, U, W ), contri
% 0.76/1.22 ( X, Y, Z, T, U, W ) }.
% 0.76/1.22 { ! eqangle( X, Y, U, W, Z, T, U, W ), para( X, Y, Z, T ) }.
% 0.76/1.22 { ! para( X, Y, Z, T ), eqangle( X, Y, U, W, Z, T, U, W ) }.
% 0.76/1.22 { ! cyclic( X, Y, Z, T ), eqangle( Z, X, Z, Y, T, X, T, Y ) }.
% 0.76/1.22 { ! eqangle( Z, X, Z, Y, T, X, T, Y ), coll( Z, T, X ), cyclic( X, Y, Z, T
% 0.76/1.22 ) }.
% 0.76/1.22 { ! eqangle( Z, X, Z, Y, T, X, T, Y ), ! coll( Z, T, Y ), cyclic( X, Y, Z,
% 0.76/1.22 T ) }.
% 0.76/1.22 { ! cyclic( X, Y, U, Z ), ! cyclic( X, Y, U, T ), ! cyclic( X, Y, U, W ), !
% 0.76/1.22 eqangle( U, X, U, Y, W, Z, W, T ), cong( X, Y, Z, T ) }.
% 0.76/1.22 { ! midp( Z, U, X ), ! midp( T, U, Y ), para( Z, T, X, Y ) }.
% 0.76/1.22 { ! midp( U, X, T ), ! para( U, Z, T, Y ), ! coll( Z, X, Y ), midp( Z, X, Y
% 0.76/1.22 ) }.
% 0.76/1.22 { ! cong( Z, X, Z, Y ), eqangle( Z, X, X, Y, X, Y, Z, Y ) }.
% 0.76/1.22 { ! eqangle( Z, X, X, Y, X, Y, Z, Y ), coll( Z, X, Y ), cong( Z, X, Z, Y )
% 0.76/1.22 }.
% 0.76/1.22 { ! circle( U, X, Y, Z ), ! perp( U, X, X, T ), eqangle( X, T, X, Y, Z, X,
% 0.76/1.22 Z, Y ) }.
% 0.76/1.22 { ! circle( Y, X, T, U ), ! eqangle( X, Z, X, T, U, X, U, T ), perp( Y, X,
% 0.76/1.22 X, Z ) }.
% 0.76/1.22 { ! circle( T, X, Y, Z ), ! midp( U, Y, Z ), eqangle( X, Y, X, Z, T, Y, T,
% 0.76/1.22 U ) }.
% 0.76/1.22 { ! circle( U, T, X, Y ), ! coll( Z, X, Y ), ! eqangle( T, X, T, Y, U, X, U
% 0.76/1.22 , Z ), midp( Z, X, Y ) }.
% 0.76/1.22 { ! perp( X, Y, Y, T ), ! midp( Z, X, T ), cong( X, Z, Y, Z ) }.
% 0.76/1.22 { ! circle( T, X, Y, Z ), ! coll( T, X, Z ), perp( X, Y, Y, Z ) }.
% 0.76/1.22 { ! cyclic( X, Y, Z, T ), ! para( X, Y, Z, T ), eqangle( X, T, Z, T, Z, T,
% 0.76/1.22 Z, Y ) }.
% 0.76/1.22 { ! midp( T, X, Y ), ! perp( Z, T, X, Y ), cong( Z, X, Z, Y ) }.
% 0.76/1.22 { ! cong( X, Z, Y, Z ), ! cong( X, T, Y, T ), perp( X, Y, Z, T ) }.
% 0.76/1.22 { ! cong( X, Y, T, Y ), ! cong( X, Z, T, Z ), ! cyclic( X, T, Y, Z ), perp
% 0.76/1.22 ( Y, X, X, Z ) }.
% 0.76/1.22 { ! eqangle( X, Y, Y, Z, T, U, U, W ), ! eqangle( X, Z, Y, Z, T, W, U, W )
% 0.76/1.22 , coll( X, Y, Z ), simtri( X, Y, Z, T, U, W ) }.
% 0.76/1.22 { ! simtri( X, Y, Z, T, U, W ), eqratio( X, Y, X, Z, T, U, T, W ) }.
% 0.76/1.22 { ! simtri( X, Y, Z, T, U, W ), eqangle( X, Y, Y, Z, T, U, U, W ) }.
% 0.76/1.22 { ! simtri( X, Y, Z, T, U, W ), ! cong( X, Y, T, U ), contri( X, Y, Z, T, U
% 0.76/1.22 , W ) }.
% 0.76/1.22 { ! contri( X, Y, U, Z, T, W ), cong( X, Y, Z, T ) }.
% 0.76/1.22 { ! midp( U, X, Y ), ! midp( U, Z, T ), para( X, Z, Y, T ) }.
% 0.76/1.22 { ! midp( Z, T, U ), ! para( T, X, U, Y ), ! para( T, Y, U, X ), midp( Z, X
% 0.76/1.22 , Y ) }.
% 0.76/1.22 { ! para( X, Y, Z, T ), ! coll( U, X, Z ), ! coll( U, Y, T ), eqratio( U, X
% 0.76/1.22 , X, Z, U, Y, Y, T ) }.
% 0.76/1.22 { ! para( X, Y, X, Z ), coll( X, Y, Z ) }.
% 0.76/1.22 { ! cong( X, Y, X, Z ), ! coll( X, Y, Z ), midp( X, Y, Z ) }.
% 0.76/1.22 { ! midp( X, Y, Z ), cong( X, Y, X, Z ) }.
% 0.76/1.22 { ! midp( X, Y, Z ), coll( X, Y, Z ) }.
% 0.76/1.22 { ! midp( U, X, Y ), ! midp( W, Z, T ), eqratio( U, X, X, Y, W, Z, Z, T ) }
% 0.76/1.22 .
% 0.76/1.22 { ! eqangle( X, Y, Z, T, Z, T, X, Y ), para( X, Y, Z, T ), perp( X, Y, Z, T
% 0.76/1.22 ) }.
% 0.76/1.22 { ! eqangle( X, Y, Z, T, Z, T, X, Y ), perp( X, Y, Z, T ), para( X, Y, Z, T
% 0.76/1.22 ) }.
% 0.76/1.22 { ! eqangle( X, Y, Z, T, U, W, V0, V1 ), ! para( U, W, V0, V1 ), para( X, Y
% 0.76/1.22 , Z, T ) }.
% 0.76/1.22 { ! eqangle( X, Y, Z, T, U, W, V0, V1 ), ! perp( U, W, V0, V1 ), perp( X, Y
% 0.76/1.22 , Z, T ) }.
% 0.76/1.22 { ! eqratio( X, Y, Z, T, U, W, V0, V1 ), ! cong( U, W, V0, V1 ), cong( X, Y
% 0.76/1.22 , Z, T ) }.
% 0.76/1.22 { ! perp( Z, Y, Y, X ), ! eqangle( T, Z, Y, Z, Y, Z, X, Z ), coll( skol1( U
% 0.76/1.22 , W, Z, T ), Z, T ) }.
% 0.76/1.22 { ! perp( Z, Y, Y, X ), ! eqangle( T, Z, Y, Z, Y, Z, X, Z ), coll( skol1( X
% 0.76/1.22 , Y, Z, T ), X, Y ) }.
% 0.76/1.22 { ! cong( Z, X, Z, Y ), ! eqangle( X, Z, Z, T, Z, T, Z, Y ), coll( skol2( U
% 0.76/1.22 , W, Z, T ), Z, T ) }.
% 0.76/1.22 { ! cong( Z, X, Z, Y ), ! eqangle( X, Z, Z, T, Z, T, Z, Y ), coll( Y, X,
% 0.76/1.22 skol2( X, Y, Z, T ) ) }.
% 0.76/1.22 { ! perp( Z, T, X, Y ), ! eqangle( X, Z, Z, T, Z, T, Z, Y ), coll( skol3( U
% 0.76/1.22 , W, Z, T ), Z, T ) }.
% 0.76/1.22 { ! perp( Z, T, X, Y ), ! eqangle( X, Z, Z, T, Z, T, Z, Y ), coll( Y, X,
% 0.76/1.22 skol3( X, Y, Z, T ) ) }.
% 0.76/1.22 { ! perp( Z, T, X, Y ), ! cong( Z, X, Z, Y ), coll( skol4( U, W, Z, T ), Z
% 0.76/1.22 , T ) }.
% 0.76/1.22 { ! perp( Z, T, X, Y ), ! cong( Z, X, Z, Y ), coll( Y, X, skol4( X, Y, Z, T
% 0.76/1.22 ) ) }.
% 0.76/1.22 { ! eqangle( X, Z, Y, Z, X, T, Y, U ), coll( X, Y, Z ), cyclic( T, Y, Z,
% 0.76/1.22 skol5( W, Y, Z, T ) ) }.
% 0.76/1.22 { ! eqangle( X, Z, Y, Z, X, T, Y, U ), coll( X, Y, Z ), eqangle( X, Z, Y, Z
% 0.76/1.22 , X, skol5( X, Y, Z, T ), Y, skol5( X, Y, Z, T ) ) }.
% 0.76/1.22 { ! midp( U, X, Y ), ! midp( W, Z, T ), midp( skol6( X, V0, V1, T, V2, V3 )
% 0.76/1.22 , X, T ) }.
% 0.76/1.22 { ! midp( U, X, Y ), ! midp( W, Z, T ), para( skol6( X, V0, Z, T, V1, W ),
% 0.76/1.22 W, X, Z ) }.
% 0.76/1.22 { ! midp( U, X, Y ), ! midp( W, Z, T ), para( skol6( X, Y, Z, T, U, W ), U
% 0.76/1.22 , Y, T ) }.
% 0.76/1.22 { ! midp( Z, X, Y ), ! midp( W, T, U ), ! coll( T, X, Y ), ! coll( U, X, Y
% 0.76/1.22 ), midp( skol7( X, V0 ), X, V0 ) }.
% 0.76/1.22 { ! midp( T, X, U ), ! para( X, W, Z, T ), ! para( X, W, U, Y ), ! coll( W
% 0.76/1.22 , Y, Z ), coll( skol8( V0, V1, Z, T ), T, Z ) }.
% 0.76/1.22 { ! midp( T, X, U ), ! para( X, W, Z, T ), ! para( X, W, U, Y ), ! coll( W
% 0.76/1.22 , Y, Z ), coll( skol8( X, Y, Z, T ), X, Y ) }.
% 0.76/1.22 { ! cong( T, Z, T, U ), ! perp( X, Y, Y, T ), cong( T, Z, T, skol9( W, V0,
% 0.76/1.22 Z, T ) ) }.
% 0.76/1.22 { ! cong( T, Z, T, U ), ! perp( X, Y, Y, T ), cong( Y, Z, Y, skol9( W, Y, Z
% 0.76/1.22 , T ) ) }.
% 0.76/1.22 { ! cong( T, Z, T, U ), ! perp( X, Y, Y, T ), para( skol9( X, Y, Z, T ), Z
% 0.76/1.22 , X, Y ) }.
% 0.76/1.22 { ! perp( X, T, Y, Z ), ! perp( Y, T, X, Z ), coll( skol10( U, Y, Z ), Z, Y
% 0.76/1.22 ) }.
% 0.76/1.22 { ! perp( X, T, Y, Z ), ! perp( Y, T, X, Z ), perp( X, skol10( X, Y, Z ), Z
% 0.76/1.22 , Y ) }.
% 0.76/1.22 { ! perp( X, T, Y, Z ), ! perp( Y, T, X, Z ), alpha1( X, Y, Z ) }.
% 0.76/1.22 { ! alpha1( X, Y, Z ), coll( skol11( X, T, Z ), Z, X ) }.
% 0.76/1.22 { ! alpha1( X, Y, Z ), perp( Y, skol11( X, Y, Z ), Z, X ) }.
% 0.76/1.22 { ! coll( T, Z, X ), ! perp( Y, T, Z, X ), alpha1( X, Y, Z ) }.
% 0.76/1.22 { ! circle( Y, X, Z, T ), perp( skol12( X, Y ), X, X, Y ) }.
% 2.53/2.89 { ! circle( W, X, Y, Z ), ! cong( W, X, W, T ), ! cong( U, X, U, Y ), W = U
% 2.53/2.89 , alpha2( X, Z, U, skol13( X, V0, Z, V1, U ) ) }.
% 2.53/2.89 { ! circle( W, X, Y, Z ), ! cong( W, X, W, T ), ! cong( U, X, U, Y ), W = U
% 2.53/2.89 , coll( skol21( V0, Y, T, V1 ), Y, T ) }.
% 2.53/2.89 { ! circle( W, X, Y, Z ), ! cong( W, X, W, T ), ! cong( U, X, U, Y ), W = U
% 2.53/2.89 , cong( skol21( X, Y, T, U ), U, U, X ) }.
% 2.53/2.89 { ! alpha2( X, Y, Z, T ), coll( T, X, Y ) }.
% 2.53/2.89 { ! alpha2( X, Y, Z, T ), cong( T, Z, Z, X ) }.
% 2.53/2.89 { ! coll( T, X, Y ), ! cong( T, Z, Z, X ), alpha2( X, Y, Z, T ) }.
% 2.53/2.89 { ! cyclic( X, Y, Z, T ), ! para( X, Y, Z, T ), ! midp( U, X, Y ), circle(
% 2.53/2.89 skol14( X, Y, Z ), X, Y, Z ) }.
% 2.53/2.89 { ! perp( X, Z, Z, Y ), ! cyclic( X, Y, Z, T ), circle( skol15( X, Y, Z ),
% 2.53/2.89 X, Y, Z ) }.
% 2.53/2.89 { ! perp( X, U, U, T ), ! coll( T, Y, Z ), coll( skol16( W, Y, Z ), Y, Z )
% 2.53/2.89 }.
% 2.53/2.89 { ! perp( X, U, U, T ), ! coll( T, Y, Z ), perp( skol16( X, Y, Z ), X, Y, Z
% 2.53/2.89 ) }.
% 2.53/2.89 { ! perp( X, Z, X, Y ), ! perp( Y, X, Y, T ), ! midp( U, Z, T ), midp(
% 2.53/2.89 skol17( X, Y ), X, Y ) }.
% 2.53/2.89 { ! cong( Y, X, Y, Z ), ! perp( X, Y, Y, Z ), coll( X, Y, skol18( X, Y ) )
% 2.53/2.89 }.
% 2.53/2.89 { ! cong( Y, X, Y, Z ), ! perp( X, Y, Y, Z ), cong( Y, X, Y, skol18( X, Y )
% 2.53/2.89 ) }.
% 2.53/2.89 { ! para( U, W, X, Y ), ! coll( Z, U, X ), ! coll( Z, W, Y ), ! coll( T, U
% 2.53/2.89 , W ), coll( Z, T, skol19( V0, V1, Z, T ) ) }.
% 2.53/2.89 { ! para( U, W, X, Y ), ! coll( Z, U, X ), ! coll( Z, W, Y ), ! coll( T, U
% 2.53/2.89 , W ), coll( skol19( X, Y, Z, T ), X, Y ) }.
% 2.53/2.89 { cong( skol20, skol25, skol25, skol26 ), cong( skol20, skol25, skol20,
% 2.53/2.89 skol26 ) }.
% 2.53/2.89 { perp( skol25, skol20, skol25, skol27 ) }.
% 2.53/2.89 { perp( skol26, skol20, skol26, skol27 ) }.
% 2.53/2.89 { circle( skol27, skol25, skol28, skol29 ) }.
% 2.53/2.89 { coll( skol30, skol20, skol27 ) }.
% 2.53/2.89 { circle( skol27, skol25, skol30, skol31 ) }.
% 2.53/2.89 { midp( skol32, skol30, skol20 ) }.
% 2.53/2.89 { circle( skol32, skol30, skol33, skol34 ) }.
% 2.53/2.89 { coll( skol22, skol25, skol20 ) }.
% 2.53/2.89 { circle( skol32, skol30, skol22, skol35 ) }.
% 2.53/2.89 { coll( skol23, skol26, skol20 ) }.
% 2.53/2.89 { circle( skol32, skol30, skol23, skol36 ) }.
% 2.53/2.89 { coll( skol24, skol25, skol26 ) }.
% 2.53/2.89 { coll( skol24, skol20, skol27 ) }.
% 2.53/2.89 { ! eqangle( skol20, skol22, skol22, skol24, skol24, skol22, skol22, skol23
% 2.53/2.89 ) }.
% 2.53/2.89
% 2.53/2.89 percentage equality = 0.008571, percentage horn = 0.923664
% 2.53/2.89 This is a problem with some equality
% 2.53/2.89
% 2.53/2.89
% 2.53/2.89
% 2.53/2.89 Options Used:
% 2.53/2.89
% 2.53/2.89 useres = 1
% 2.53/2.89 useparamod = 1
% 2.53/2.89 useeqrefl = 1
% 2.53/2.89 useeqfact = 1
% 2.53/2.89 usefactor = 1
% 2.53/2.89 usesimpsplitting = 0
% 2.53/2.89 usesimpdemod = 5
% 2.53/2.89 usesimpres = 3
% 2.53/2.89
% 2.53/2.89 resimpinuse = 1000
% 2.53/2.89 resimpclauses = 20000
% 2.53/2.89 substype = eqrewr
% 2.53/2.89 backwardsubs = 1
% 2.53/2.89 selectoldest = 5
% 2.53/2.89
% 2.53/2.89 litorderings [0] = split
% 2.53/2.89 litorderings [1] = extend the termordering, first sorting on arguments
% 2.53/2.89
% 2.53/2.89 termordering = kbo
% 2.53/2.89
% 2.53/2.89 litapriori = 0
% 2.53/2.89 termapriori = 1
% 2.53/2.89 litaposteriori = 0
% 2.53/2.89 termaposteriori = 0
% 2.53/2.89 demodaposteriori = 0
% 2.53/2.89 ordereqreflfact = 0
% 2.53/2.89
% 2.53/2.89 litselect = negord
% 2.53/2.89
% 2.53/2.89 maxweight = 15
% 2.53/2.89 maxdepth = 30000
% 2.53/2.89 maxlength = 115
% 2.53/2.89 maxnrvars = 195
% 2.53/2.89 excuselevel = 1
% 2.53/2.89 increasemaxweight = 1
% 2.53/2.89
% 2.53/2.89 maxselected = 10000000
% 2.53/2.89 maxnrclauses = 10000000
% 2.53/2.89
% 2.53/2.89 showgenerated = 0
% 2.53/2.89 showkept = 0
% 2.53/2.89 showselected = 0
% 2.53/2.89 showdeleted = 0
% 2.53/2.89 showresimp = 1
% 2.53/2.89 showstatus = 2000
% 2.53/2.89
% 2.53/2.89 prologoutput = 0
% 2.53/2.89 nrgoals = 5000000
% 2.53/2.89 totalproof = 1
% 2.53/2.89
% 2.53/2.89 Symbols occurring in the translation:
% 2.53/2.89
% 2.53/2.89 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 2.53/2.89 . [1, 2] (w:1, o:52, a:1, s:1, b:0),
% 2.53/2.89 ! [4, 1] (w:0, o:47, a:1, s:1, b:0),
% 2.53/2.89 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 2.53/2.89 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 2.53/2.89 coll [38, 3] (w:1, o:80, a:1, s:1, b:0),
% 2.53/2.89 para [40, 4] (w:1, o:88, a:1, s:1, b:0),
% 2.53/2.89 perp [43, 4] (w:1, o:89, a:1, s:1, b:0),
% 2.53/2.89 midp [45, 3] (w:1, o:81, a:1, s:1, b:0),
% 2.53/2.89 cong [47, 4] (w:1, o:90, a:1, s:1, b:0),
% 2.53/2.89 circle [48, 4] (w:1, o:91, a:1, s:1, b:0),
% 2.53/2.89 cyclic [49, 4] (w:1, o:92, a:1, s:1, b:0),
% 2.53/2.89 eqangle [54, 8] (w:1, o:107, a:1, s:1, b:0),
% 2.53/2.89 eqratio [57, 8] (w:1, o:108, a:1, s:1, b:0),
% 2.53/2.89 simtri [59, 6] (w:1, o:104, a:1, s:1, b:0),
% 2.53/2.89 contri [60, 6] (w:1, o:105, a:1, s:1, b:0),
% 2.53/2.89 alpha1 [71, 3] (w:1, o:82, a:1, s:1, b:1),
% 2.53/2.89 alpha2 [72, 4] (w:1, o:93, a:1, s:1, b:1),
% 4.13/4.49 skol1 [73, 4] (w:1, o:94, a:1, s:1, b:1),
% 4.13/4.49 skol2 [74, 4] (w:1, o:96, a:1, s:1, b:1),
% 4.13/4.49 skol3 [75, 4] (w:1, o:98, a:1, s:1, b:1),
% 4.13/4.49 skol4 [76, 4] (w:1, o:99, a:1, s:1, b:1),
% 4.13/4.49 skol5 [77, 4] (w:1, o:100, a:1, s:1, b:1),
% 4.13/4.49 skol6 [78, 6] (w:1, o:106, a:1, s:1, b:1),
% 4.13/4.49 skol7 [79, 2] (w:1, o:76, a:1, s:1, b:1),
% 4.13/4.49 skol8 [80, 4] (w:1, o:101, a:1, s:1, b:1),
% 4.13/4.49 skol9 [81, 4] (w:1, o:102, a:1, s:1, b:1),
% 4.13/4.49 skol10 [82, 3] (w:1, o:83, a:1, s:1, b:1),
% 4.13/4.49 skol11 [83, 3] (w:1, o:84, a:1, s:1, b:1),
% 4.13/4.49 skol12 [84, 2] (w:1, o:77, a:1, s:1, b:1),
% 4.13/4.49 skol13 [85, 5] (w:1, o:103, a:1, s:1, b:1),
% 4.13/4.49 skol14 [86, 3] (w:1, o:85, a:1, s:1, b:1),
% 4.13/4.49 skol15 [87, 3] (w:1, o:86, a:1, s:1, b:1),
% 4.13/4.49 skol16 [88, 3] (w:1, o:87, a:1, s:1, b:1),
% 4.13/4.49 skol17 [89, 2] (w:1, o:78, a:1, s:1, b:1),
% 4.13/4.49 skol18 [90, 2] (w:1, o:79, a:1, s:1, b:1),
% 4.13/4.49 skol19 [91, 4] (w:1, o:95, a:1, s:1, b:1),
% 4.13/4.49 skol20 [92, 0] (w:1, o:31, a:1, s:1, b:1),
% 4.13/4.49 skol21 [93, 4] (w:1, o:97, a:1, s:1, b:1),
% 4.13/4.49 skol22 [94, 0] (w:1, o:32, a:1, s:1, b:1),
% 4.13/4.49 skol23 [95, 0] (w:1, o:33, a:1, s:1, b:1),
% 4.13/4.49 skol24 [96, 0] (w:1, o:34, a:1, s:1, b:1),
% 4.13/4.49 skol25 [97, 0] (w:1, o:35, a:1, s:1, b:1),
% 4.13/4.49 skol26 [98, 0] (w:1, o:36, a:1, s:1, b:1),
% 4.13/4.49 skol27 [99, 0] (w:1, o:37, a:1, s:1, b:1),
% 4.13/4.49 skol28 [100, 0] (w:1, o:38, a:1, s:1, b:1),
% 4.13/4.49 skol29 [101, 0] (w:1, o:39, a:1, s:1, b:1),
% 4.13/4.49 skol30 [102, 0] (w:1, o:40, a:1, s:1, b:1),
% 4.13/4.49 skol31 [103, 0] (w:1, o:41, a:1, s:1, b:1),
% 4.13/4.49 skol32 [104, 0] (w:1, o:42, a:1, s:1, b:1),
% 4.13/4.49 skol33 [105, 0] (w:1, o:43, a:1, s:1, b:1),
% 4.13/4.49 skol34 [106, 0] (w:1, o:44, a:1, s:1, b:1),
% 4.13/4.49 skol35 [107, 0] (w:1, o:45, a:1, s:1, b:1),
% 4.13/4.49 skol36 [108, 0] (w:1, o:46, a:1, s:1, b:1).
% 4.13/4.49
% 4.13/4.49
% 4.13/4.49 Starting Search:
% 4.13/4.49
% 4.13/4.49 *** allocated 15000 integers for clauses
% 4.13/4.49 *** allocated 22500 integers for clauses
% 4.13/4.49 *** allocated 33750 integers for clauses
% 4.13/4.49 *** allocated 50625 integers for clauses
% 4.13/4.49 *** allocated 22500 integers for termspace/termends
% 4.13/4.49 *** allocated 75937 integers for clauses
% 4.13/4.49 Resimplifying inuse:
% 4.13/4.49 Done
% 4.13/4.49
% 4.13/4.49 *** allocated 33750 integers for termspace/termends
% 4.13/4.49 *** allocated 113905 integers for clauses
% 4.13/4.49 *** allocated 50625 integers for termspace/termends
% 4.13/4.49
% 4.13/4.49 Intermediate Status:
% 4.13/4.49 Generated: 9573
% 4.13/4.49 Kept: 2017
% 4.13/4.49 Inuse: 321
% 4.13/4.49 Deleted: 0
% 4.13/4.49 Deletedinuse: 0
% 4.13/4.49
% 4.13/4.49 Resimplifying inuse:
% 4.13/4.49 Done
% 4.13/4.49
% 4.13/4.49 *** allocated 170857 integers for clauses
% 4.13/4.49 *** allocated 75937 integers for termspace/termends
% 4.13/4.49 Resimplifying inuse:
% 4.13/4.49 Done
% 4.13/4.49
% 4.13/4.49 *** allocated 256285 integers for clauses
% 4.13/4.49 *** allocated 113905 integers for termspace/termends
% 4.13/4.49
% 4.13/4.49 Intermediate Status:
% 4.13/4.49 Generated: 20911
% 4.13/4.49 Kept: 4049
% 4.13/4.49 Inuse: 461
% 4.13/4.49 Deleted: 0
% 4.13/4.49 Deletedinuse: 0
% 4.13/4.49
% 4.13/4.49 Resimplifying inuse:
% 4.13/4.49 Done
% 4.13/4.49
% 4.13/4.49 Resimplifying inuse:
% 4.13/4.49 Done
% 4.13/4.49
% 4.13/4.49 *** allocated 384427 integers for clauses
% 4.13/4.49 *** allocated 170857 integers for termspace/termends
% 4.13/4.49
% 4.13/4.49 Intermediate Status:
% 4.13/4.49 Generated: 32826
% 4.13/4.49 Kept: 6061
% 4.13/4.49 Inuse: 531
% 4.13/4.49 Deleted: 0
% 4.13/4.49 Deletedinuse: 0
% 4.13/4.49
% 4.13/4.49 Resimplifying inuse:
% 4.13/4.49 Done
% 4.13/4.49
% 4.13/4.49 Resimplifying inuse:
% 4.13/4.49 Done
% 4.13/4.49
% 4.13/4.49 *** allocated 576640 integers for clauses
% 4.13/4.49
% 4.13/4.49 Intermediate Status:
% 4.13/4.49 Generated: 44921
% 4.13/4.49 Kept: 8071
% 4.13/4.49 Inuse: 670
% 4.13/4.49 Deleted: 1
% 4.13/4.49 Deletedinuse: 0
% 4.13/4.49
% 4.13/4.49 Resimplifying inuse:
% 4.13/4.49 Done
% 4.13/4.49
% 4.13/4.49 *** allocated 256285 integers for termspace/termends
% 4.13/4.49 Resimplifying inuse:
% 4.13/4.49 Done
% 4.13/4.49
% 4.13/4.49
% 4.13/4.49 Intermediate Status:
% 4.13/4.49 Generated: 56079
% 4.13/4.49 Kept: 10072
% 4.13/4.49 Inuse: 854
% 4.13/4.49 Deleted: 866
% 4.13/4.49 Deletedinuse: 515
% 4.13/4.49
% 4.13/4.49 Resimplifying inuse:
% 4.13/4.49 Done
% 4.13/4.49
% 4.13/4.49 Resimplifying inuse:
% 4.13/4.49 Done
% 4.13/4.49
% 4.13/4.49 *** allocated 864960 integers for clauses
% 4.13/4.49
% 4.13/4.49 Intermediate Status:
% 4.13/4.49 Generated: 64513
% 4.13/4.49 Kept: 12077
% 4.13/4.49 Inuse: 971
% 4.13/4.49 Deleted: 945
% 4.13/4.49 Deletedinuse: 555
% 4.13/4.49
% 4.13/4.49 Resimplifying inuse:
% 4.13/4.49 Done
% 4.13/4.49
% 4.13/4.49 Resimplifying inuse:
% 4.13/4.49 Done
% 4.13/4.49
% 4.13/4.49
% 4.13/4.49 Intermediate Status:
% 4.13/4.49 Generated: 73412
% 4.13/4.49 Kept: 14077
% 4.13/4.49 Inuse: 1119
% 4.13/4.49 Deleted: 952
% 4.13/4.49 Deletedinuse: 555
% 4.13/4.49
% 4.13/4.49 Resimplifying inuse:
% 4.13/4.49 Done
% 4.13/4.49
% 4.13/4.49 *** allocated 384427 integers for termspace/termends
% 4.13/4.49 Resimplifying inuse:
% 4.13/4.49 Done
% 4.13/4.49
% 4.13/4.49
% 4.13/4.49 Intermediate Status:
% 4.13/4.49 Generated: 85764
% 4.13/4.49 Kept: 16086
% 4.13/4.49 Inuse: 1325
% 4.13/4.49 Deleted: 961
% 4.13/4.49 Deletedinuse: 555
% 4.13/4.49
% 4.13/4.49 Resimplifying inuse:
% 4.13/4.49 Done
% 4.13/4.49
% 4.13/4.49 *** allocated 1297440 integers for clauses
% 4.13/4.49 Resimplifying inuse:
% 4.13/4.49 Done
% 4.13/4.49
% 4.13/4.49
% 4.13/4.49 Intermediate Status:
% 4.13/4.49 Generated: 97110
% 4.13/4.49 Kept: 18092
% 4.13/4.49 Inuse: 1507
% 4.13/4.49 Deleted: 976
% 4.13/4.49 Deletedinuse: 555
% 4.13/4.49
% 4.13/4.49 Resimplifying inuse:
% 4.13/4.49 Done
% 4.13/4.49
% 4.13/4.49 Resimplifying inuse:
% 4.13/4.49 Done
% 4.13/4.49
% 4.13/4.49 Resimplifying clauses:
% 4.13/4.49 Done
% 4.13/4.49
% 4.13/4.49
% 4.13/4.49 Intermediate Status:
% 4.13/4.49 Generated: 108225
% 4.13/4.49 Kept: 20103
% 4.13/4.49 Inuse: 1710
% 4.13/4.49 Deleted: 6974
% 4.13/4.49 Deletedinuse: 555
% 4.13/4.49
% 4.13/4.49 Resimplifying inuse:
% 4.13/4.49 Done
% 4.13/4.49
% 4.13/4.49 Resimplifying inuse:
% 4.13/4.49 Done
% 4.13/4.49
% 4.13/4.49
% 4.13/4.49 Intermediate Status:
% 4.13/4.49 Generated: 117028
% 4.13/4.49 Kept: 22370
% 4.13/4.49 Inuse: 1809
% 4.13/4.49 Deleted: 7071
% 4.13/4.49 Deletedinuse: 649
% 4.13/4.49
% 4.13/4.49 Resimplifying inuse:
% 4.13/4.49 Done
% 4.13/4.49
% 4.13/4.49 Resimplifying inuse:
% 4.13/4.49 Done
% 4.13/4.49
% 4.13/4.49 *** allocated 576640 integers for termspace/termends
% 4.13/4.49
% 4.13/4.49 Bliksems!, er is een bewijs:
% 4.13/4.49 % SZS status Theorem
% 4.13/4.49 % SZS output start Refutation
% 4.13/4.49
% 4.13/4.49 (0) {G0,W8,D2,L2,V3,M2} I { ! coll( X, Y, Z ), coll( X, Z, Y ) }.
% 4.13/4.49 (1) {G0,W8,D2,L2,V3,M2} I { ! coll( X, Y, Z ), coll( Y, X, Z ) }.
% 4.13/4.49 (2) {G0,W12,D2,L3,V4,M3} I { ! coll( X, T, Y ), ! coll( X, T, Z ), coll( Y
% 4.13/4.49 , Z, X ) }.
% 4.13/4.49 (3) {G0,W10,D2,L2,V4,M2} I { ! para( X, Y, Z, T ), para( X, Y, T, Z ) }.
% 4.13/4.49 (6) {G0,W10,D2,L2,V4,M2} I { ! perp( X, Y, Z, T ), perp( X, Y, T, Z ) }.
% 4.13/4.49 (7) {G0,W10,D2,L2,V4,M2} I { ! perp( X, Y, Z, T ), perp( Z, T, X, Y ) }.
% 4.13/4.49 (8) {G0,W15,D2,L3,V6,M3} I { ! perp( X, Y, U, W ), ! perp( U, W, Z, T ),
% 4.13/4.49 para( X, Y, Z, T ) }.
% 4.13/4.49 (13) {G0,W10,D2,L2,V4,M2} I { ! cyclic( X, Y, Z, T ), cyclic( X, Y, T, Z )
% 4.13/4.49 }.
% 4.13/4.49 (14) {G0,W10,D2,L2,V4,M2} I { ! cyclic( X, Y, Z, T ), cyclic( X, Z, Y, T )
% 4.13/4.49 }.
% 4.13/4.49 (15) {G0,W10,D2,L2,V4,M2} I { ! cyclic( X, Y, Z, T ), cyclic( Y, X, Z, T )
% 4.13/4.49 }.
% 4.13/4.49 (16) {G0,W15,D2,L3,V5,M3} I { ! cyclic( U, X, Y, Z ), ! cyclic( U, X, Y, T
% 4.13/4.49 ), cyclic( X, Y, Z, T ) }.
% 4.13/4.49 (19) {G0,W18,D2,L2,V8,M2} I { ! eqangle( X, Y, Z, T, U, W, V0, V1 ),
% 4.13/4.49 eqangle( U, W, V0, V1, X, Y, Z, T ) }.
% 4.13/4.49 (20) {G0,W18,D2,L2,V8,M2} I { ! eqangle( X, Y, Z, T, U, W, V0, V1 ),
% 4.13/4.49 eqangle( X, Y, U, W, Z, T, V0, V1 ) }.
% 4.13/4.49 (21) {G0,W27,D2,L3,V12,M3} I { ! eqangle( X, Y, Z, T, V2, V3, V4, V5 ), !
% 4.13/4.49 eqangle( V2, V3, V4, V5, U, W, V0, V1 ), eqangle( X, Y, Z, T, U, W, V0,
% 4.13/4.49 V1 ) }.
% 4.13/4.49 (39) {G0,W14,D2,L2,V6,M2} I { ! para( X, Y, Z, T ), eqangle( X, Y, U, W, Z
% 4.13/4.49 , T, U, W ) }.
% 4.13/4.49 (40) {G0,W14,D2,L2,V4,M2} I { ! cyclic( X, Y, Z, T ), eqangle( Z, X, Z, Y,
% 4.13/4.49 T, X, T, Y ) }.
% 4.13/4.49 (42) {G0,W18,D2,L3,V4,M3} I { ! eqangle( Z, X, Z, Y, T, X, T, Y ), ! coll(
% 4.13/4.49 Z, T, Y ), cyclic( X, Y, Z, T ) }.
% 4.13/4.49 (43) {G0,W29,D2,L5,V6,M5} I { ! cyclic( X, Y, U, Z ), ! cyclic( X, Y, U, T
% 4.13/4.49 ), ! cyclic( X, Y, U, W ), ! eqangle( U, X, U, Y, W, Z, W, T ), cong( X
% 4.13/4.49 , Y, Z, T ) }.
% 4.13/4.49 (56) {G0,W15,D2,L3,V4,M3} I { ! cong( X, Z, Y, Z ), ! cong( X, T, Y, T ),
% 4.13/4.49 perp( X, Y, Z, T ) }.
% 4.13/4.49 (69) {G0,W8,D2,L2,V3,M2} I { ! midp( X, Y, Z ), coll( X, Y, Z ) }.
% 4.13/4.49 (88) {G0,W22,D3,L5,V7,M5} I { ! midp( Z, X, Y ), ! midp( W, T, U ), ! coll
% 4.13/4.49 ( T, X, Y ), ! coll( U, X, Y ), midp( skol7( X, V0 ), X, V0 ) }.
% 4.13/4.49 (100) {G0,W12,D3,L2,V4,M2} I { ! circle( Y, X, Z, T ), perp( skol12( X, Y )
% 4.13/4.49 , X, X, Y ) }.
% 4.13/4.49 (110) {G0,W17,D3,L3,V5,M3} I { ! perp( X, U, U, T ), ! coll( T, Y, Z ),
% 4.13/4.49 perp( skol16( X, Y, Z ), X, Y, Z ) }.
% 4.13/4.49 (119) {G0,W5,D2,L1,V0,M1} I { circle( skol27, skol25, skol28, skol29 ) }.
% 4.13/4.49 (120) {G0,W4,D2,L1,V0,M1} I { coll( skol30, skol20, skol27 ) }.
% 4.13/4.49 (122) {G0,W4,D2,L1,V0,M1} I { midp( skol32, skol30, skol20 ) }.
% 4.13/4.49 (130) {G0,W9,D2,L1,V0,M1} I { ! eqangle( skol20, skol22, skol22, skol24,
% 4.13/4.49 skol24, skol22, skol22, skol23 ) }.
% 4.13/4.49 (153) {G1,W18,D3,L4,V4,M4} F(88) { ! midp( X, Y, Z ), ! coll( Y, Y, Z ), !
% 4.13/4.49 coll( Z, Y, Z ), midp( skol7( Y, T ), Y, T ) }.
% 4.13/4.49 (176) {G1,W8,D2,L2,V3,M2} R(1,0) { coll( X, Y, Z ), ! coll( Y, Z, X ) }.
% 4.13/4.49 (177) {G1,W8,D2,L2,V3,M2} R(1,0) { ! coll( X, Y, Z ), coll( Y, Z, X ) }.
% 4.13/4.49 (207) {G1,W12,D2,L3,V4,M3} R(2,0) { ! coll( X, Y, Z ), ! coll( X, Y, T ),
% 4.13/4.49 coll( Z, X, T ) }.
% 4.13/4.49 (216) {G2,W8,D2,L2,V3,M2} F(207) { ! coll( X, Y, Z ), coll( Z, X, Z ) }.
% 4.13/4.49 (260) {G1,W4,D2,L1,V0,M1} R(120,1) { coll( skol20, skol30, skol27 ) }.
% 4.13/4.49 (264) {G2,W4,D2,L1,V0,M1} R(260,0) { coll( skol20, skol27, skol30 ) }.
% 4.13/4.49 (276) {G1,W10,D2,L2,V4,M2} R(7,6) { ! perp( X, Y, Z, T ), perp( Z, T, Y, X
% 4.13/4.49 ) }.
% 4.13/4.49 (281) {G1,W15,D2,L3,V6,M3} R(8,7) { ! perp( X, Y, Z, T ), para( U, W, Z, T
% 4.13/4.49 ), ! perp( X, Y, U, W ) }.
% 4.13/4.49 (282) {G1,W15,D2,L3,V6,M3} R(8,7) { ! perp( X, Y, Z, T ), para( X, Y, U, W
% 4.13/4.49 ), ! perp( U, W, Z, T ) }.
% 4.13/4.49 (290) {G2,W10,D2,L2,V4,M2} F(282) { ! perp( X, Y, Z, T ), para( X, Y, X, Y
% 4.13/4.49 ) }.
% 4.13/4.49 (363) {G3,W4,D2,L1,V0,M1} R(216,264) { coll( skol30, skol20, skol30 ) }.
% 4.13/4.49 (377) {G3,W12,D2,L3,V4,M3} R(216,2) { coll( X, Y, X ), ! coll( X, Z, Y ), !
% 4.13/4.49 coll( X, Z, T ) }.
% 4.13/4.49 (393) {G4,W8,D2,L2,V3,M2} F(377) { coll( X, Y, X ), ! coll( X, Z, Y ) }.
% 4.13/4.49 (408) {G1,W10,D2,L2,V4,M2} R(14,13) { ! cyclic( X, Y, Z, T ), cyclic( X, Z
% 4.13/4.49 , T, Y ) }.
% 4.13/4.49 (417) {G1,W10,D2,L2,V4,M2} R(15,14) { ! cyclic( X, Y, Z, T ), cyclic( Y, Z
% 4.13/4.49 , X, T ) }.
% 4.13/4.49 (426) {G4,W4,D2,L1,V0,M1} R(363,0) { coll( skol30, skol30, skol20 ) }.
% 4.13/4.49 (443) {G1,W15,D2,L3,V5,M3} R(16,13) { ! cyclic( X, Y, Z, T ), cyclic( Y, Z
% 4.13/4.49 , T, U ), ! cyclic( X, Y, U, Z ) }.
% 4.13/4.49 (484) {G1,W18,D2,L2,V8,M2} R(20,19) { ! eqangle( X, Y, Z, T, U, W, V0, V1 )
% 4.13/4.49 , eqangle( Z, T, V0, V1, X, Y, U, W ) }.
% 4.13/4.49 (697) {G5,W8,D2,L2,V3,M2} R(393,1) { ! coll( X, Y, Z ), coll( Z, X, X ) }.
% 4.13/4.49 (702) {G6,W8,D2,L2,V3,M2} R(697,1) { coll( X, Y, Y ), ! coll( Z, Y, X ) }.
% 4.13/4.49 (703) {G6,W8,D2,L2,V3,M2} R(697,0) { coll( X, Y, Y ), ! coll( Y, X, Z ) }.
% 4.13/4.49 (723) {G7,W8,D2,L2,V3,M2} R(703,703) { ! coll( X, Y, Z ), coll( X, Y, Y )
% 4.13/4.49 }.
% 4.13/4.49 (726) {G8,W12,D2,L3,V4,M3} R(723,2) { ! coll( X, Y, Z ), ! coll( X, Y, T )
% 4.13/4.49 , coll( T, Y, X ) }.
% 4.13/4.49 (727) {G9,W8,D2,L2,V3,M2} F(726) { ! coll( X, Y, Z ), coll( Z, Y, X ) }.
% 4.13/4.49 (731) {G10,W8,D2,L2,V3,M2} R(727,702) { coll( X, X, Y ), ! coll( Z, X, Y )
% 4.13/4.49 }.
% 4.13/4.49 (754) {G1,W23,D2,L3,V10,M3} R(39,21) { ! para( X, Y, Z, T ), ! eqangle( Z,
% 4.13/4.49 T, U, W, V0, V1, V2, V3 ), eqangle( X, Y, U, W, V0, V1, V2, V3 ) }.
% 4.13/4.49 (762) {G1,W14,D2,L2,V6,M2} R(39,3) { eqangle( X, Y, Z, T, U, W, Z, T ), !
% 4.13/4.49 para( X, Y, W, U ) }.
% 4.13/4.49 (783) {G2,W8,D2,L2,V3,M2} R(69,176) { ! midp( X, Y, Z ), coll( Z, X, Y )
% 4.13/4.49 }.
% 4.13/4.49 (790) {G11,W8,D2,L2,V3,M2} R(69,731) { ! midp( X, Y, Z ), coll( Y, Y, Z )
% 4.13/4.49 }.
% 4.13/4.49 (810) {G1,W4,D2,L1,V0,M1} R(69,122) { coll( skol32, skol30, skol20 ) }.
% 4.13/4.49 (857) {G1,W14,D2,L3,V3,M3} R(42,39) { ! coll( X, X, Y ), cyclic( Z, Y, X, X
% 4.13/4.49 ), ! para( X, Z, X, Z ) }.
% 4.13/4.49 (1006) {G1,W20,D2,L4,V4,M4} R(43,40);f { ! cyclic( X, Y, Z, X ), ! cyclic(
% 4.13/4.49 X, Y, Z, Y ), ! cyclic( X, Y, Z, T ), cong( X, Y, X, Y ) }.
% 4.13/4.49 (1038) {G2,W15,D2,L3,V3,M3} F(1006) { ! cyclic( X, Y, Z, X ), ! cyclic( X,
% 4.13/4.49 Y, Z, Y ), cong( X, Y, X, Y ) }.
% 4.13/4.49 (1232) {G2,W8,D2,L2,V1,M2} R(810,2) { ! coll( skol32, skol30, X ), coll(
% 4.13/4.49 skol20, X, skol32 ) }.
% 4.13/4.49 (1412) {G3,W8,D2,L2,V1,M2} R(1232,177) { coll( skol20, X, skol32 ), ! coll
% 4.13/4.49 ( X, skol32, skol30 ) }.
% 4.13/4.49 (2783) {G4,W8,D2,L2,V1,M2} R(1412,177) { ! coll( X, skol32, skol30 ), coll
% 4.13/4.49 ( X, skol32, skol20 ) }.
% 4.13/4.49 (2844) {G5,W12,D2,L3,V2,M3} R(2783,2) { ! coll( X, skol32, skol30 ), ! coll
% 4.13/4.49 ( X, skol32, Y ), coll( skol20, Y, X ) }.
% 4.13/4.49 (2849) {G6,W8,D2,L2,V1,M2} F(2844) { ! coll( X, skol32, skol30 ), coll(
% 4.13/4.49 skol20, skol30, X ) }.
% 4.13/4.49 (3475) {G7,W8,D2,L2,V1,M2} R(2849,783) { coll( skol20, skol30, X ), ! midp
% 4.13/4.49 ( skol32, skol30, X ) }.
% 4.13/4.49 (4898) {G1,W7,D3,L1,V0,M1} R(100,119) { perp( skol12( skol25, skol27 ),
% 4.13/4.49 skol25, skol25, skol27 ) }.
% 4.13/4.49 (8265) {G8,W14,D3,L3,V2,M3} R(153,3475);r(426) { ! midp( X, skol30, skol20
% 4.13/4.49 ), midp( skol7( skol30, Y ), skol30, Y ), ! midp( skol32, skol30, skol20
% 4.13/4.49 ) }.
% 4.13/4.49 (8386) {G9,W6,D3,L1,V1,M1} F(8265);r(122) { midp( skol7( skol30, X ),
% 4.13/4.49 skol30, X ) }.
% 4.13/4.49 (8431) {G12,W4,D2,L1,V1,M1} R(8386,790) { coll( skol30, skol30, X ) }.
% 4.13/4.49 (8493) {G13,W4,D2,L1,V2,M1} R(8431,2);r(8431) { coll( Y, X, skol30 ) }.
% 4.13/4.49 (8515) {G14,W4,D2,L1,V2,M1} R(8493,177) { coll( X, skol30, Y ) }.
% 4.13/4.49 (8528) {G15,W4,D2,L1,V3,M1} R(8515,2);r(8515) { coll( Z, Y, X ) }.
% 4.13/4.49 (8713) {G2,W7,D3,L1,V0,M1} R(4898,7) { perp( skol25, skol27, skol12( skol25
% 4.13/4.49 , skol27 ), skol25 ) }.
% 4.13/4.49 (8722) {G3,W7,D3,L1,V0,M1} R(8713,6) { perp( skol25, skol27, skol25, skol12
% 4.13/4.49 ( skol25, skol27 ) ) }.
% 4.13/4.49 (8730) {G4,W7,D3,L1,V0,M1} R(8722,7) { perp( skol25, skol12( skol25, skol27
% 4.13/4.49 ), skol25, skol27 ) }.
% 4.13/4.49 (8737) {G5,W7,D3,L1,V0,M1} R(8730,6) { perp( skol25, skol12( skol25, skol27
% 4.13/4.49 ), skol27, skol25 ) }.
% 4.13/4.49 (8745) {G6,W7,D3,L1,V0,M1} R(8737,7) { perp( skol27, skol25, skol25, skol12
% 4.13/4.49 ( skol25, skol27 ) ) }.
% 4.13/4.49 (8747) {G16,W8,D3,L1,V2,M1} R(8745,110);r(8528) { perp( skol16( skol27, X,
% 4.13/4.49 Y ), skol27, X, Y ) }.
% 4.13/4.49 (8995) {G17,W8,D3,L1,V2,M1} R(8747,276) { perp( X, Y, skol27, skol16(
% 4.13/4.49 skol27, X, Y ) ) }.
% 4.13/4.49 (9859) {G18,W5,D2,L1,V2,M1} R(290,8995) { para( X, Y, X, Y ) }.
% 4.13/4.49 (20096) {G19,W5,D2,L1,V3,M1} S(857);r(8528);r(9859) { cyclic( Z, Y, X, X )
% 4.13/4.49 }.
% 4.13/4.49 (20114) {G20,W5,D2,L1,V3,M1} R(20096,417) { cyclic( X, Y, Z, Y ) }.
% 4.13/4.49 (20116) {G20,W5,D2,L1,V3,M1} R(20096,408) { cyclic( X, Y, Y, Z ) }.
% 4.13/4.49 (20121) {G21,W5,D2,L1,V3,M1} R(20114,443);r(20116) { cyclic( Y, Y, Z, T )
% 4.13/4.49 }.
% 4.13/4.49 (20129) {G22,W5,D2,L1,V4,M1} R(20121,443);r(20121) { cyclic( X, Y, Z, T )
% 4.13/4.49 }.
% 4.13/4.49 (23850) {G23,W5,D2,L1,V2,M1} S(1038);r(20129);r(20129) { cong( X, Y, X, Y )
% 4.13/4.49 }.
% 4.13/4.49 (23860) {G24,W5,D2,L1,V3,M1} R(23850,56);r(23850) { perp( X, X, Z, Y ) }.
% 4.13/4.49 (23893) {G25,W5,D2,L1,V4,M1} R(23860,281);r(23860) { para( X, Y, Z, T ) }.
% 4.13/4.49 (23903) {G26,W9,D2,L1,V6,M1} R(23893,762) { eqangle( X, Y, Z, T, U, W, Z, T
% 4.13/4.49 ) }.
% 4.13/4.49 (24133) {G27,W9,D2,L1,V6,M1} R(23903,484) { eqangle( X, Y, X, Y, Z, T, U, W
% 4.13/4.49 ) }.
% 4.13/4.49 (24136) {G28,W9,D2,L1,V8,M1} R(24133,754);r(23893) { eqangle( X, Y, Z, T, U
% 4.13/4.49 , W, V0, V1 ) }.
% 4.13/4.49 (24137) {G29,W0,D0,L0,V0,M0} R(24136,130) { }.
% 4.13/4.49
% 4.13/4.49
% 4.13/4.49 % SZS output end Refutation
% 4.13/4.49 found a proof!
% 4.13/4.49
% 4.13/4.49
% 4.13/4.49 Unprocessed initial clauses:
% 4.13/4.49
% 4.13/4.49 (24139) {G0,W8,D2,L2,V3,M2} { ! coll( X, Y, Z ), coll( X, Z, Y ) }.
% 4.13/4.49 (24140) {G0,W8,D2,L2,V3,M2} { ! coll( X, Y, Z ), coll( Y, X, Z ) }.
% 4.13/4.49 (24141) {G0,W12,D2,L3,V4,M3} { ! coll( X, T, Y ), ! coll( X, T, Z ), coll
% 4.13/4.49 ( Y, Z, X ) }.
% 4.13/4.49 (24142) {G0,W10,D2,L2,V4,M2} { ! para( X, Y, Z, T ), para( X, Y, T, Z )
% 4.13/4.49 }.
% 4.13/4.49 (24143) {G0,W10,D2,L2,V4,M2} { ! para( X, Y, Z, T ), para( Z, T, X, Y )
% 4.13/4.49 }.
% 4.13/4.49 (24144) {G0,W15,D2,L3,V6,M3} { ! para( X, Y, U, W ), ! para( U, W, Z, T )
% 4.13/4.49 , para( X, Y, Z, T ) }.
% 4.13/4.49 (24145) {G0,W10,D2,L2,V4,M2} { ! perp( X, Y, Z, T ), perp( X, Y, T, Z )
% 4.13/4.49 }.
% 4.13/4.49 (24146) {G0,W10,D2,L2,V4,M2} { ! perp( X, Y, Z, T ), perp( Z, T, X, Y )
% 4.13/4.49 }.
% 4.13/4.49 (24147) {G0,W15,D2,L3,V6,M3} { ! perp( X, Y, U, W ), ! perp( U, W, Z, T )
% 4.13/4.49 , para( X, Y, Z, T ) }.
% 4.13/4.49 (24148) {G0,W15,D2,L3,V6,M3} { ! para( X, Y, U, W ), ! perp( U, W, Z, T )
% 4.13/4.49 , perp( X, Y, Z, T ) }.
% 4.13/4.49 (24149) {G0,W8,D2,L2,V3,M2} { ! midp( Z, Y, X ), midp( Z, X, Y ) }.
% 4.13/4.49 (24150) {G0,W15,D2,L3,V4,M3} { ! cong( T, X, T, Y ), ! cong( T, X, T, Z )
% 4.13/4.49 , circle( T, X, Y, Z ) }.
% 4.13/4.49 (24151) {G0,W20,D2,L4,V5,M4} { ! cong( U, X, U, Y ), ! cong( U, X, U, Z )
% 4.13/4.49 , ! cong( U, X, U, T ), cyclic( X, Y, Z, T ) }.
% 4.13/4.49 (24152) {G0,W10,D2,L2,V4,M2} { ! cyclic( X, Y, Z, T ), cyclic( X, Y, T, Z
% 4.13/4.49 ) }.
% 4.13/4.49 (24153) {G0,W10,D2,L2,V4,M2} { ! cyclic( X, Y, Z, T ), cyclic( X, Z, Y, T
% 4.13/4.49 ) }.
% 4.13/4.49 (24154) {G0,W10,D2,L2,V4,M2} { ! cyclic( X, Y, Z, T ), cyclic( Y, X, Z, T
% 4.13/4.49 ) }.
% 4.13/4.49 (24155) {G0,W15,D2,L3,V5,M3} { ! cyclic( U, X, Y, Z ), ! cyclic( U, X, Y,
% 4.13/4.49 T ), cyclic( X, Y, Z, T ) }.
% 4.13/4.49 (24156) {G0,W18,D2,L2,V8,M2} { ! eqangle( X, Y, Z, T, U, W, V0, V1 ),
% 4.13/4.49 eqangle( Y, X, Z, T, U, W, V0, V1 ) }.
% 4.13/4.49 (24157) {G0,W18,D2,L2,V8,M2} { ! eqangle( X, Y, Z, T, U, W, V0, V1 ),
% 4.13/4.49 eqangle( Z, T, X, Y, V0, V1, U, W ) }.
% 4.13/4.49 (24158) {G0,W18,D2,L2,V8,M2} { ! eqangle( X, Y, Z, T, U, W, V0, V1 ),
% 4.13/4.49 eqangle( U, W, V0, V1, X, Y, Z, T ) }.
% 4.13/4.49 (24159) {G0,W18,D2,L2,V8,M2} { ! eqangle( X, Y, Z, T, U, W, V0, V1 ),
% 4.13/4.49 eqangle( X, Y, U, W, Z, T, V0, V1 ) }.
% 4.13/4.49 (24160) {G0,W27,D2,L3,V12,M3} { ! eqangle( X, Y, Z, T, V2, V3, V4, V5 ), !
% 4.13/4.49 eqangle( V2, V3, V4, V5, U, W, V0, V1 ), eqangle( X, Y, Z, T, U, W, V0,
% 4.13/4.49 V1 ) }.
% 4.13/4.49 (24161) {G0,W10,D2,L2,V4,M2} { ! cong( X, Y, Z, T ), cong( X, Y, T, Z )
% 4.13/4.49 }.
% 4.13/4.49 (24162) {G0,W10,D2,L2,V4,M2} { ! cong( X, Y, Z, T ), cong( Z, T, X, Y )
% 4.13/4.49 }.
% 4.13/4.49 (24163) {G0,W15,D2,L3,V6,M3} { ! cong( X, Y, U, W ), ! cong( U, W, Z, T )
% 4.13/4.49 , cong( X, Y, Z, T ) }.
% 4.13/4.49 (24164) {G0,W18,D2,L2,V8,M2} { ! eqratio( X, Y, Z, T, U, W, V0, V1 ),
% 4.13/4.49 eqratio( Y, X, Z, T, U, W, V0, V1 ) }.
% 4.13/4.49 (24165) {G0,W18,D2,L2,V8,M2} { ! eqratio( X, Y, Z, T, U, W, V0, V1 ),
% 4.13/4.49 eqratio( Z, T, X, Y, V0, V1, U, W ) }.
% 4.13/4.49 (24166) {G0,W18,D2,L2,V8,M2} { ! eqratio( X, Y, Z, T, U, W, V0, V1 ),
% 4.13/4.49 eqratio( U, W, V0, V1, X, Y, Z, T ) }.
% 4.13/4.49 (24167) {G0,W18,D2,L2,V8,M2} { ! eqratio( X, Y, Z, T, U, W, V0, V1 ),
% 4.13/4.49 eqratio( X, Y, U, W, Z, T, V0, V1 ) }.
% 4.13/4.49 (24168) {G0,W27,D2,L3,V12,M3} { ! eqratio( X, Y, Z, T, V2, V3, V4, V5 ), !
% 4.13/4.49 eqratio( V2, V3, V4, V5, U, W, V0, V1 ), eqratio( X, Y, Z, T, U, W, V0,
% 4.13/4.49 V1 ) }.
% 4.13/4.49 (24169) {G0,W14,D2,L2,V6,M2} { ! simtri( X, Z, Y, T, W, U ), simtri( X, Y
% 4.13/4.49 , Z, T, U, W ) }.
% 4.13/4.49 (24170) {G0,W14,D2,L2,V6,M2} { ! simtri( Y, X, Z, U, T, W ), simtri( X, Y
% 4.13/4.49 , Z, T, U, W ) }.
% 4.13/4.49 (24171) {G0,W14,D2,L2,V6,M2} { ! simtri( T, U, W, X, Y, Z ), simtri( X, Y
% 4.13/4.49 , Z, T, U, W ) }.
% 4.13/4.49 (24172) {G0,W21,D2,L3,V9,M3} { ! simtri( X, Y, Z, V0, V1, V2 ), ! simtri(
% 4.13/4.49 V0, V1, V2, T, U, W ), simtri( X, Y, Z, T, U, W ) }.
% 4.13/4.49 (24173) {G0,W14,D2,L2,V6,M2} { ! contri( X, Z, Y, T, W, U ), contri( X, Y
% 4.13/4.49 , Z, T, U, W ) }.
% 4.13/4.49 (24174) {G0,W14,D2,L2,V6,M2} { ! contri( Y, X, Z, U, T, W ), contri( X, Y
% 4.13/4.49 , Z, T, U, W ) }.
% 4.13/4.49 (24175) {G0,W14,D2,L2,V6,M2} { ! contri( T, U, W, X, Y, Z ), contri( X, Y
% 4.13/4.49 , Z, T, U, W ) }.
% 4.13/4.49 (24176) {G0,W21,D2,L3,V9,M3} { ! contri( X, Y, Z, V0, V1, V2 ), ! contri(
% 4.13/4.49 V0, V1, V2, T, U, W ), contri( X, Y, Z, T, U, W ) }.
% 4.13/4.49 (24177) {G0,W14,D2,L2,V6,M2} { ! eqangle( X, Y, U, W, Z, T, U, W ), para(
% 4.13/4.49 X, Y, Z, T ) }.
% 4.13/4.49 (24178) {G0,W14,D2,L2,V6,M2} { ! para( X, Y, Z, T ), eqangle( X, Y, U, W,
% 4.13/4.49 Z, T, U, W ) }.
% 4.13/4.49 (24179) {G0,W14,D2,L2,V4,M2} { ! cyclic( X, Y, Z, T ), eqangle( Z, X, Z, Y
% 4.13/4.49 , T, X, T, Y ) }.
% 4.13/4.49 (24180) {G0,W18,D2,L3,V4,M3} { ! eqangle( Z, X, Z, Y, T, X, T, Y ), coll(
% 4.13/4.49 Z, T, X ), cyclic( X, Y, Z, T ) }.
% 4.13/4.49 (24181) {G0,W18,D2,L3,V4,M3} { ! eqangle( Z, X, Z, Y, T, X, T, Y ), ! coll
% 4.13/4.49 ( Z, T, Y ), cyclic( X, Y, Z, T ) }.
% 4.13/4.49 (24182) {G0,W29,D2,L5,V6,M5} { ! cyclic( X, Y, U, Z ), ! cyclic( X, Y, U,
% 4.13/4.49 T ), ! cyclic( X, Y, U, W ), ! eqangle( U, X, U, Y, W, Z, W, T ), cong( X
% 4.13/4.49 , Y, Z, T ) }.
% 4.13/4.49 (24183) {G0,W13,D2,L3,V5,M3} { ! midp( Z, U, X ), ! midp( T, U, Y ), para
% 4.13/4.49 ( Z, T, X, Y ) }.
% 4.13/4.49 (24184) {G0,W17,D2,L4,V5,M4} { ! midp( U, X, T ), ! para( U, Z, T, Y ), !
% 4.13/4.49 coll( Z, X, Y ), midp( Z, X, Y ) }.
% 4.13/4.49 (24185) {G0,W14,D2,L2,V3,M2} { ! cong( Z, X, Z, Y ), eqangle( Z, X, X, Y,
% 4.13/4.49 X, Y, Z, Y ) }.
% 4.13/4.49 (24186) {G0,W18,D2,L3,V3,M3} { ! eqangle( Z, X, X, Y, X, Y, Z, Y ), coll(
% 4.13/4.49 Z, X, Y ), cong( Z, X, Z, Y ) }.
% 4.13/4.49 (24187) {G0,W19,D2,L3,V5,M3} { ! circle( U, X, Y, Z ), ! perp( U, X, X, T
% 4.13/4.49 ), eqangle( X, T, X, Y, Z, X, Z, Y ) }.
% 4.13/4.49 (24188) {G0,W19,D2,L3,V5,M3} { ! circle( Y, X, T, U ), ! eqangle( X, Z, X
% 4.13/4.49 , T, U, X, U, T ), perp( Y, X, X, Z ) }.
% 4.13/4.49 (24189) {G0,W18,D2,L3,V5,M3} { ! circle( T, X, Y, Z ), ! midp( U, Y, Z ),
% 4.13/4.49 eqangle( X, Y, X, Z, T, Y, T, U ) }.
% 4.13/4.49 (24190) {G0,W22,D2,L4,V5,M4} { ! circle( U, T, X, Y ), ! coll( Z, X, Y ),
% 4.13/4.49 ! eqangle( T, X, T, Y, U, X, U, Z ), midp( Z, X, Y ) }.
% 4.13/4.49 (24191) {G0,W14,D2,L3,V4,M3} { ! perp( X, Y, Y, T ), ! midp( Z, X, T ),
% 4.13/4.49 cong( X, Z, Y, Z ) }.
% 4.13/4.49 (24192) {G0,W14,D2,L3,V4,M3} { ! circle( T, X, Y, Z ), ! coll( T, X, Z ),
% 4.13/4.49 perp( X, Y, Y, Z ) }.
% 4.13/4.49 (24193) {G0,W19,D2,L3,V4,M3} { ! cyclic( X, Y, Z, T ), ! para( X, Y, Z, T
% 4.13/4.49 ), eqangle( X, T, Z, T, Z, T, Z, Y ) }.
% 4.13/4.49 (24194) {G0,W14,D2,L3,V4,M3} { ! midp( T, X, Y ), ! perp( Z, T, X, Y ),
% 4.13/4.49 cong( Z, X, Z, Y ) }.
% 4.13/4.49 (24195) {G0,W15,D2,L3,V4,M3} { ! cong( X, Z, Y, Z ), ! cong( X, T, Y, T )
% 4.13/4.49 , perp( X, Y, Z, T ) }.
% 4.13/4.49 (24196) {G0,W20,D2,L4,V4,M4} { ! cong( X, Y, T, Y ), ! cong( X, Z, T, Z )
% 4.13/4.49 , ! cyclic( X, T, Y, Z ), perp( Y, X, X, Z ) }.
% 4.13/4.49 (24197) {G0,W29,D2,L4,V6,M4} { ! eqangle( X, Y, Y, Z, T, U, U, W ), !
% 4.13/4.49 eqangle( X, Z, Y, Z, T, W, U, W ), coll( X, Y, Z ), simtri( X, Y, Z, T, U
% 4.13/4.49 , W ) }.
% 4.13/4.49 (24198) {G0,W16,D2,L2,V6,M2} { ! simtri( X, Y, Z, T, U, W ), eqratio( X, Y
% 4.13/4.49 , X, Z, T, U, T, W ) }.
% 4.13/4.49 (24199) {G0,W16,D2,L2,V6,M2} { ! simtri( X, Y, Z, T, U, W ), eqangle( X, Y
% 4.13/4.49 , Y, Z, T, U, U, W ) }.
% 4.13/4.49 (24200) {G0,W19,D2,L3,V6,M3} { ! simtri( X, Y, Z, T, U, W ), ! cong( X, Y
% 4.13/4.49 , T, U ), contri( X, Y, Z, T, U, W ) }.
% 4.13/4.49 (24201) {G0,W12,D2,L2,V6,M2} { ! contri( X, Y, U, Z, T, W ), cong( X, Y, Z
% 4.13/4.49 , T ) }.
% 4.13/4.49 (24202) {G0,W13,D2,L3,V5,M3} { ! midp( U, X, Y ), ! midp( U, Z, T ), para
% 4.13/4.49 ( X, Z, Y, T ) }.
% 4.13/4.49 (24203) {G0,W18,D2,L4,V5,M4} { ! midp( Z, T, U ), ! para( T, X, U, Y ), !
% 4.13/4.49 para( T, Y, U, X ), midp( Z, X, Y ) }.
% 4.13/4.49 (24204) {G0,W22,D2,L4,V5,M4} { ! para( X, Y, Z, T ), ! coll( U, X, Z ), !
% 4.13/4.49 coll( U, Y, T ), eqratio( U, X, X, Z, U, Y, Y, T ) }.
% 4.13/4.49 (24205) {G0,W9,D2,L2,V3,M2} { ! para( X, Y, X, Z ), coll( X, Y, Z ) }.
% 4.13/4.49 (24206) {G0,W13,D2,L3,V3,M3} { ! cong( X, Y, X, Z ), ! coll( X, Y, Z ),
% 4.13/4.49 midp( X, Y, Z ) }.
% 4.13/4.49 (24207) {G0,W9,D2,L2,V3,M2} { ! midp( X, Y, Z ), cong( X, Y, X, Z ) }.
% 4.13/4.49 (24208) {G0,W8,D2,L2,V3,M2} { ! midp( X, Y, Z ), coll( X, Y, Z ) }.
% 4.13/4.49 (24209) {G0,W17,D2,L3,V6,M3} { ! midp( U, X, Y ), ! midp( W, Z, T ),
% 4.13/4.49 eqratio( U, X, X, Y, W, Z, Z, T ) }.
% 4.13/4.49 (24210) {G0,W19,D2,L3,V4,M3} { ! eqangle( X, Y, Z, T, Z, T, X, Y ), para(
% 4.13/4.49 X, Y, Z, T ), perp( X, Y, Z, T ) }.
% 4.13/4.49 (24211) {G0,W19,D2,L3,V4,M3} { ! eqangle( X, Y, Z, T, Z, T, X, Y ), perp(
% 4.13/4.49 X, Y, Z, T ), para( X, Y, Z, T ) }.
% 4.13/4.49 (24212) {G0,W19,D2,L3,V8,M3} { ! eqangle( X, Y, Z, T, U, W, V0, V1 ), !
% 4.13/4.49 para( U, W, V0, V1 ), para( X, Y, Z, T ) }.
% 4.13/4.49 (24213) {G0,W19,D2,L3,V8,M3} { ! eqangle( X, Y, Z, T, U, W, V0, V1 ), !
% 4.13/4.49 perp( U, W, V0, V1 ), perp( X, Y, Z, T ) }.
% 4.13/4.49 (24214) {G0,W19,D2,L3,V8,M3} { ! eqratio( X, Y, Z, T, U, W, V0, V1 ), !
% 4.13/4.49 cong( U, W, V0, V1 ), cong( X, Y, Z, T ) }.
% 4.13/4.49 (24215) {G0,W22,D3,L3,V6,M3} { ! perp( Z, Y, Y, X ), ! eqangle( T, Z, Y, Z
% 4.13/4.49 , Y, Z, X, Z ), coll( skol1( U, W, Z, T ), Z, T ) }.
% 4.13/4.49 (24216) {G0,W22,D3,L3,V4,M3} { ! perp( Z, Y, Y, X ), ! eqangle( T, Z, Y, Z
% 4.13/4.49 , Y, Z, X, Z ), coll( skol1( X, Y, Z, T ), X, Y ) }.
% 4.13/4.49 (24217) {G0,W22,D3,L3,V6,M3} { ! cong( Z, X, Z, Y ), ! eqangle( X, Z, Z, T
% 4.13/4.49 , Z, T, Z, Y ), coll( skol2( U, W, Z, T ), Z, T ) }.
% 4.13/4.49 (24218) {G0,W22,D3,L3,V4,M3} { ! cong( Z, X, Z, Y ), ! eqangle( X, Z, Z, T
% 4.13/4.49 , Z, T, Z, Y ), coll( Y, X, skol2( X, Y, Z, T ) ) }.
% 4.13/4.49 (24219) {G0,W22,D3,L3,V6,M3} { ! perp( Z, T, X, Y ), ! eqangle( X, Z, Z, T
% 4.13/4.49 , Z, T, Z, Y ), coll( skol3( U, W, Z, T ), Z, T ) }.
% 4.13/4.49 (24220) {G0,W22,D3,L3,V4,M3} { ! perp( Z, T, X, Y ), ! eqangle( X, Z, Z, T
% 4.13/4.49 , Z, T, Z, Y ), coll( Y, X, skol3( X, Y, Z, T ) ) }.
% 4.13/4.49 (24221) {G0,W18,D3,L3,V6,M3} { ! perp( Z, T, X, Y ), ! cong( Z, X, Z, Y )
% 4.13/4.49 , coll( skol4( U, W, Z, T ), Z, T ) }.
% 4.13/4.49 (24222) {G0,W18,D3,L3,V4,M3} { ! perp( Z, T, X, Y ), ! cong( Z, X, Z, Y )
% 4.13/4.49 , coll( Y, X, skol4( X, Y, Z, T ) ) }.
% 4.13/4.49 (24223) {G0,W22,D3,L3,V6,M3} { ! eqangle( X, Z, Y, Z, X, T, Y, U ), coll(
% 4.13/4.49 X, Y, Z ), cyclic( T, Y, Z, skol5( W, Y, Z, T ) ) }.
% 4.13/4.49 (24224) {G0,W30,D3,L3,V5,M3} { ! eqangle( X, Z, Y, Z, X, T, Y, U ), coll(
% 4.13/4.49 X, Y, Z ), eqangle( X, Z, Y, Z, X, skol5( X, Y, Z, T ), Y, skol5( X, Y, Z
% 4.13/4.49 , T ) ) }.
% 4.13/4.49 (24225) {G0,W18,D3,L3,V10,M3} { ! midp( U, X, Y ), ! midp( W, Z, T ), midp
% 4.13/4.49 ( skol6( X, V0, V1, T, V2, V3 ), X, T ) }.
% 4.13/4.49 (24226) {G0,W19,D3,L3,V8,M3} { ! midp( U, X, Y ), ! midp( W, Z, T ), para
% 4.13/4.49 ( skol6( X, V0, Z, T, V1, W ), W, X, Z ) }.
% 4.13/4.49 (24227) {G0,W19,D3,L3,V6,M3} { ! midp( U, X, Y ), ! midp( W, Z, T ), para
% 4.13/4.49 ( skol6( X, Y, Z, T, U, W ), U, Y, T ) }.
% 4.13/4.49 (24228) {G0,W22,D3,L5,V7,M5} { ! midp( Z, X, Y ), ! midp( W, T, U ), !
% 4.13/4.49 coll( T, X, Y ), ! coll( U, X, Y ), midp( skol7( X, V0 ), X, V0 ) }.
% 4.13/4.49 (24229) {G0,W26,D3,L5,V8,M5} { ! midp( T, X, U ), ! para( X, W, Z, T ), !
% 4.13/4.49 para( X, W, U, Y ), ! coll( W, Y, Z ), coll( skol8( V0, V1, Z, T ), T, Z
% 4.13/4.49 ) }.
% 4.13/4.49 (24230) {G0,W26,D3,L5,V6,M5} { ! midp( T, X, U ), ! para( X, W, Z, T ), !
% 4.13/4.49 para( X, W, U, Y ), ! coll( W, Y, Z ), coll( skol8( X, Y, Z, T ), X, Y )
% 4.13/4.49 }.
% 4.13/4.49 (24231) {G0,W19,D3,L3,V7,M3} { ! cong( T, Z, T, U ), ! perp( X, Y, Y, T )
% 4.13/4.49 , cong( T, Z, T, skol9( W, V0, Z, T ) ) }.
% 4.13/4.49 (24232) {G0,W19,D3,L3,V6,M3} { ! cong( T, Z, T, U ), ! perp( X, Y, Y, T )
% 4.13/4.49 , cong( Y, Z, Y, skol9( W, Y, Z, T ) ) }.
% 4.13/4.49 (24233) {G0,W19,D3,L3,V5,M3} { ! cong( T, Z, T, U ), ! perp( X, Y, Y, T )
% 4.13/4.49 , para( skol9( X, Y, Z, T ), Z, X, Y ) }.
% 4.13/4.49 (24234) {G0,W17,D3,L3,V5,M3} { ! perp( X, T, Y, Z ), ! perp( Y, T, X, Z )
% 4.13/4.49 , coll( skol10( U, Y, Z ), Z, Y ) }.
% 4.13/4.49 (24235) {G0,W18,D3,L3,V4,M3} { ! perp( X, T, Y, Z ), ! perp( Y, T, X, Z )
% 4.13/4.49 , perp( X, skol10( X, Y, Z ), Z, Y ) }.
% 4.13/4.49 (24236) {G0,W14,D2,L3,V4,M3} { ! perp( X, T, Y, Z ), ! perp( Y, T, X, Z )
% 4.13/4.49 , alpha1( X, Y, Z ) }.
% 4.13/4.49 (24237) {G0,W11,D3,L2,V4,M2} { ! alpha1( X, Y, Z ), coll( skol11( X, T, Z
% 4.13/4.49 ), Z, X ) }.
% 4.13/4.49 (24238) {G0,W12,D3,L2,V3,M2} { ! alpha1( X, Y, Z ), perp( Y, skol11( X, Y
% 4.13/4.49 , Z ), Z, X ) }.
% 4.13/4.49 (24239) {G0,W13,D2,L3,V4,M3} { ! coll( T, Z, X ), ! perp( Y, T, Z, X ),
% 4.13/4.49 alpha1( X, Y, Z ) }.
% 4.13/4.49 (24240) {G0,W12,D3,L2,V4,M2} { ! circle( Y, X, Z, T ), perp( skol12( X, Y
% 4.13/4.49 ), X, X, Y ) }.
% 4.13/4.49 (24241) {G0,W28,D3,L5,V8,M5} { ! circle( W, X, Y, Z ), ! cong( W, X, W, T
% 4.13/4.49 ), ! cong( U, X, U, Y ), W = U, alpha2( X, Z, U, skol13( X, V0, Z, V1, U
% 4.13/4.49 ) ) }.
% 4.13/4.49 (24242) {G0,W26,D3,L5,V8,M5} { ! circle( W, X, Y, Z ), ! cong( W, X, W, T
% 4.13/4.49 ), ! cong( U, X, U, Y ), W = U, coll( skol21( V0, Y, T, V1 ), Y, T ) }.
% 4.13/4.49 (24243) {G0,W27,D3,L5,V6,M5} { ! circle( W, X, Y, Z ), ! cong( W, X, W, T
% 4.13/4.49 ), ! cong( U, X, U, Y ), W = U, cong( skol21( X, Y, T, U ), U, U, X )
% 4.13/4.49 }.
% 4.13/4.49 (24244) {G0,W9,D2,L2,V4,M2} { ! alpha2( X, Y, Z, T ), coll( T, X, Y ) }.
% 4.13/4.49 (24245) {G0,W10,D2,L2,V4,M2} { ! alpha2( X, Y, Z, T ), cong( T, Z, Z, X )
% 4.13/4.49 }.
% 4.13/4.49 (24246) {G0,W14,D2,L3,V4,M3} { ! coll( T, X, Y ), ! cong( T, Z, Z, X ),
% 4.13/4.49 alpha2( X, Y, Z, T ) }.
% 4.13/4.49 (24247) {G0,W22,D3,L4,V5,M4} { ! cyclic( X, Y, Z, T ), ! para( X, Y, Z, T
% 4.13/4.49 ), ! midp( U, X, Y ), circle( skol14( X, Y, Z ), X, Y, Z ) }.
% 4.13/4.49 (24248) {G0,W18,D3,L3,V4,M3} { ! perp( X, Z, Z, Y ), ! cyclic( X, Y, Z, T
% 4.13/4.49 ), circle( skol15( X, Y, Z ), X, Y, Z ) }.
% 4.13/4.49 (24249) {G0,W16,D3,L3,V6,M3} { ! perp( X, U, U, T ), ! coll( T, Y, Z ),
% 4.13/4.49 coll( skol16( W, Y, Z ), Y, Z ) }.
% 4.13/4.49 (24250) {G0,W17,D3,L3,V5,M3} { ! perp( X, U, U, T ), ! coll( T, Y, Z ),
% 4.13/4.49 perp( skol16( X, Y, Z ), X, Y, Z ) }.
% 4.13/4.49 (24251) {G0,W20,D3,L4,V5,M4} { ! perp( X, Z, X, Y ), ! perp( Y, X, Y, T )
% 4.13/4.49 , ! midp( U, Z, T ), midp( skol17( X, Y ), X, Y ) }.
% 4.13/4.49 (24252) {G0,W16,D3,L3,V3,M3} { ! cong( Y, X, Y, Z ), ! perp( X, Y, Y, Z )
% 4.13/4.49 , coll( X, Y, skol18( X, Y ) ) }.
% 4.13/4.49 (24253) {G0,W17,D3,L3,V3,M3} { ! cong( Y, X, Y, Z ), ! perp( X, Y, Y, Z )
% 4.13/4.49 , cong( Y, X, Y, skol18( X, Y ) ) }.
% 4.13/4.49 (24254) {G0,W25,D3,L5,V8,M5} { ! para( U, W, X, Y ), ! coll( Z, U, X ), !
% 4.13/4.49 coll( Z, W, Y ), ! coll( T, U, W ), coll( Z, T, skol19( V0, V1, Z, T ) )
% 4.13/4.49 }.
% 4.13/4.49 (24255) {G0,W25,D3,L5,V6,M5} { ! para( U, W, X, Y ), ! coll( Z, U, X ), !
% 4.13/4.49 coll( Z, W, Y ), ! coll( T, U, W ), coll( skol19( X, Y, Z, T ), X, Y )
% 4.13/4.49 }.
% 4.13/4.49 (24256) {G0,W10,D2,L2,V0,M2} { cong( skol20, skol25, skol25, skol26 ),
% 4.13/4.49 cong( skol20, skol25, skol20, skol26 ) }.
% 4.13/4.49 (24257) {G0,W5,D2,L1,V0,M1} { perp( skol25, skol20, skol25, skol27 ) }.
% 4.13/4.49 (24258) {G0,W5,D2,L1,V0,M1} { perp( skol26, skol20, skol26, skol27 ) }.
% 4.13/4.49 (24259) {G0,W5,D2,L1,V0,M1} { circle( skol27, skol25, skol28, skol29 ) }.
% 4.13/4.49 (24260) {G0,W4,D2,L1,V0,M1} { coll( skol30, skol20, skol27 ) }.
% 4.13/4.49 (24261) {G0,W5,D2,L1,V0,M1} { circle( skol27, skol25, skol30, skol31 ) }.
% 4.13/4.49 (24262) {G0,W4,D2,L1,V0,M1} { midp( skol32, skol30, skol20 ) }.
% 4.13/4.49 (24263) {G0,W5,D2,L1,V0,M1} { circle( skol32, skol30, skol33, skol34 ) }.
% 4.13/4.49 (24264) {G0,W4,D2,L1,V0,M1} { coll( skol22, skol25, skol20 ) }.
% 4.13/4.49 (24265) {G0,W5,D2,L1,V0,M1} { circle( skol32, skol30, skol22, skol35 ) }.
% 4.13/4.49 (24266) {G0,W4,D2,L1,V0,M1} { coll( skol23, skol26, skol20 ) }.
% 4.13/4.49 (24267) {G0,W5,D2,L1,V0,M1} { circle( skol32, skol30, skol23, skol36 ) }.
% 4.13/4.49 (24268) {G0,W4,D2,L1,V0,M1} { coll( skol24, skol25, skol26 ) }.
% 4.13/4.49 (24269) {G0,W4,D2,L1,V0,M1} { coll( skol24, skol20, skol27 ) }.
% 4.13/4.49 (24270) {G0,W9,D2,L1,V0,M1} { ! eqangle( skol20, skol22, skol22, skol24,
% 4.13/4.49 skol24, skol22, skol22, skol23 ) }.
% 4.13/4.49
% 4.13/4.49
% 4.13/4.49 Total Proof:
% 4.13/4.49
% 4.13/4.49 subsumption: (0) {G0,W8,D2,L2,V3,M2} I { ! coll( X, Y, Z ), coll( X, Z, Y )
% 4.13/4.49 }.
% 4.13/4.49 parent0: (24139) {G0,W8,D2,L2,V3,M2} { ! coll( X, Y, Z ), coll( X, Z, Y )
% 4.13/4.49 }.
% 4.13/4.49 substitution0:
% 4.13/4.49 X := X
% 4.13/4.49 Y := Y
% 4.13/4.49 Z := Z
% 4.13/4.49 end
% 4.13/4.49 permutation0:
% 4.13/4.49 0 ==> 0
% 4.13/4.49 1 ==> 1
% 4.13/4.49 end
% 4.13/4.49
% 4.13/4.49 subsumption: (1) {G0,W8,D2,L2,V3,M2} I { ! coll( X, Y, Z ), coll( Y, X, Z )
% 4.13/4.49 }.
% 4.13/4.49 parent0: (24140) {G0,W8,D2,L2,V3,M2} { ! coll( X, Y, Z ), coll( Y, X, Z )
% 4.13/4.49 }.
% 4.13/4.49 substitution0:
% 4.13/4.49 X := X
% 4.13/4.49 Y := Y
% 4.13/4.49 Z := Z
% 4.13/4.49 end
% 4.13/4.49 permutation0:
% 4.13/4.49 0 ==> 0
% 4.13/4.49 1 ==> 1
% 4.13/4.49 end
% 4.13/4.49
% 4.13/4.49 subsumption: (2) {G0,W12,D2,L3,V4,M3} I { ! coll( X, T, Y ), ! coll( X, T,
% 4.13/4.49 Z ), coll( Y, Z, X ) }.
% 4.13/4.49 parent0: (24141) {G0,W12,D2,L3,V4,M3} { ! coll( X, T, Y ), ! coll( X, T, Z
% 4.13/4.49 ), coll( Y, Z, X ) }.
% 4.13/4.49 substitution0:
% 4.13/4.49 X := X
% 4.13/4.49 Y := Y
% 4.13/4.49 Z := Z
% 4.13/4.49 T := T
% 4.13/4.49 end
% 4.13/4.49 permutation0:
% 4.13/4.49 0 ==> 0
% 4.13/4.49 1 ==> 1
% 4.13/4.49 2 ==> 2
% 4.13/4.49 end
% 4.13/4.49
% 4.13/4.49 subsumption: (3) {G0,W10,D2,L2,V4,M2} I { ! para( X, Y, Z, T ), para( X, Y
% 4.13/4.49 , T, Z ) }.
% 4.13/4.49 parent0: (24142) {G0,W10,D2,L2,V4,M2} { ! para( X, Y, Z, T ), para( X, Y,
% 4.13/4.49 T, Z ) }.
% 4.13/4.49 substitution0:
% 4.13/4.49 X := X
% 4.13/4.49 Y := Y
% 4.13/4.49 Z := Z
% 4.13/4.49 T := T
% 4.13/4.49 end
% 4.13/4.49 permutation0:
% 4.13/4.49 0 ==> 0
% 4.13/4.49 1 ==> 1
% 4.13/4.49 end
% 4.13/4.49
% 4.13/4.49 subsumption: (6) {G0,W10,D2,L2,V4,M2} I { ! perp( X, Y, Z, T ), perp( X, Y
% 4.13/4.49 , T, Z ) }.
% 4.13/4.49 parent0: (24145) {G0,W10,D2,L2,V4,M2} { ! perp( X, Y, Z, T ), perp( X, Y,
% 4.13/4.49 T, Z ) }.
% 4.13/4.49 substitution0:
% 4.13/4.49 X := X
% 4.13/4.49 Y := Y
% 4.13/4.49 Z := Z
% 4.13/4.49 T := T
% 4.13/4.49 end
% 4.13/4.49 permutation0:
% 4.13/4.49 0 ==> 0
% 4.13/4.49 1 ==> 1
% 4.13/4.49 end
% 4.13/4.49
% 4.13/4.49 subsumption: (7) {G0,W10,D2,L2,V4,M2} I { ! perp( X, Y, Z, T ), perp( Z, T
% 4.13/4.49 , X, Y ) }.
% 4.13/4.49 parent0: (24146) {G0,W10,D2,L2,V4,M2} { ! perp( X, Y, Z, T ), perp( Z, T,
% 4.13/4.49 X, Y ) }.
% 4.13/4.49 substitution0:
% 4.13/4.49 X := X
% 4.13/4.49 Y := Y
% 4.13/4.49 Z := Z
% 4.13/4.49 T := T
% 4.13/4.49 end
% 4.13/4.49 permutation0:
% 4.13/4.49 0 ==> 0
% 4.13/4.49 1 ==> 1
% 4.13/4.49 end
% 4.13/4.49
% 4.13/4.49 subsumption: (8) {G0,W15,D2,L3,V6,M3} I { ! perp( X, Y, U, W ), ! perp( U,
% 4.13/4.49 W, Z, T ), para( X, Y, Z, T ) }.
% 4.13/4.49 parent0: (24147) {G0,W15,D2,L3,V6,M3} { ! perp( X, Y, U, W ), ! perp( U, W
% 4.13/4.49 , Z, T ), para( X, Y, Z, T ) }.
% 4.13/4.49 substitution0:
% 4.13/4.49 X := X
% 4.13/4.49 Y := Y
% 4.13/4.49 Z := Z
% 4.13/4.49 T := T
% 4.13/4.49 U := U
% 4.13/4.49 W := W
% 4.13/4.49 end
% 4.13/4.49 permutation0:
% 4.13/4.49 0 ==> 0
% 4.13/4.49 1 ==> 1
% 4.13/4.49 2 ==> 2
% 4.13/4.49 end
% 4.13/4.49
% 4.13/4.49 subsumption: (13) {G0,W10,D2,L2,V4,M2} I { ! cyclic( X, Y, Z, T ), cyclic(
% 4.13/4.49 X, Y, T, Z ) }.
% 4.13/4.49 parent0: (24152) {G0,W10,D2,L2,V4,M2} { ! cyclic( X, Y, Z, T ), cyclic( X
% 4.13/4.49 , Y, T, Z ) }.
% 4.13/4.49 substitution0:
% 4.13/4.49 X := X
% 4.13/4.49 Y := Y
% 4.13/4.49 Z := Z
% 4.13/4.49 T := T
% 4.13/4.49 end
% 4.13/4.49 permutation0:
% 4.13/4.49 0 ==> 0
% 4.13/4.49 1 ==> 1
% 4.13/4.49 end
% 4.13/4.49
% 4.13/4.49 subsumption: (14) {G0,W10,D2,L2,V4,M2} I { ! cyclic( X, Y, Z, T ), cyclic(
% 4.13/4.49 X, Z, Y, T ) }.
% 4.13/4.49 parent0: (24153) {G0,W10,D2,L2,V4,M2} { ! cyclic( X, Y, Z, T ), cyclic( X
% 4.13/4.49 , Z, Y, T ) }.
% 4.13/4.49 substitution0:
% 4.13/4.49 X := X
% 4.13/4.49 Y := Y
% 4.13/4.49 Z := Z
% 4.13/4.49 T := T
% 4.13/4.49 end
% 4.13/4.49 permutation0:
% 4.13/4.49 0 ==> 0
% 4.13/4.49 1 ==> 1
% 4.13/4.49 end
% 4.13/4.49
% 4.13/4.49 subsumption: (15) {G0,W10,D2,L2,V4,M2} I { ! cyclic( X, Y, Z, T ), cyclic(
% 4.13/4.49 Y, X, Z, T ) }.
% 4.13/4.49 parent0: (24154) {G0,W10,D2,L2,V4,M2} { ! cyclic( X, Y, Z, T ), cyclic( Y
% 4.13/4.49 , X, Z, T ) }.
% 4.13/4.49 substitution0:
% 4.13/4.49 X := X
% 4.13/4.49 Y := Y
% 4.13/4.49 Z := Z
% 4.13/4.49 T := T
% 4.13/4.49 end
% 4.13/4.49 permutation0:
% 4.13/4.49 0 ==> 0
% 4.13/4.49 1 ==> 1
% 4.13/4.49 end
% 4.13/4.49
% 4.13/4.49 subsumption: (16) {G0,W15,D2,L3,V5,M3} I { ! cyclic( U, X, Y, Z ), ! cyclic
% 4.13/4.49 ( U, X, Y, T ), cyclic( X, Y, Z, T ) }.
% 4.13/4.49 parent0: (24155) {G0,W15,D2,L3,V5,M3} { ! cyclic( U, X, Y, Z ), ! cyclic(
% 4.13/4.49 U, X, Y, T ), cyclic( X, Y, Z, T ) }.
% 4.13/4.49 substitution0:
% 4.13/4.49 X := X
% 4.13/4.49 Y := Y
% 4.13/4.49 Z := Z
% 4.13/4.49 T := T
% 4.13/4.49 U := U
% 4.13/4.49 end
% 4.13/4.49 permutation0:
% 4.13/4.49 0 ==> 0
% 4.13/4.49 1 ==> 1
% 4.13/4.49 2 ==> 2
% 4.13/4.49 end
% 4.13/4.49
% 4.13/4.49 subsumption: (19) {G0,W18,D2,L2,V8,M2} I { ! eqangle( X, Y, Z, T, U, W, V0
% 4.13/4.49 , V1 ), eqangle( U, W, V0, V1, X, Y, Z, T ) }.
% 4.13/4.49 parent0: (24158) {G0,W18,D2,L2,V8,M2} { ! eqangle( X, Y, Z, T, U, W, V0,
% 4.13/4.49 V1 ), eqangle( U, W, V0, V1, X, Y, Z, T ) }.
% 4.13/4.49 substitution0:
% 4.13/4.49 X := X
% 4.13/4.49 Y := Y
% 4.13/4.49 Z := Z
% 4.13/4.49 T := T
% 4.13/4.49 U := U
% 4.13/4.49 W := W
% 4.13/4.49 V0 := V0
% 4.13/4.49 V1 := V1
% 4.13/4.49 end
% 4.13/4.49 permutation0:
% 4.13/4.49 0 ==> 0
% 4.13/4.49 1 ==> 1
% 4.13/4.49 end
% 4.13/4.49
% 4.13/4.49 subsumption: (20) {G0,W18,D2,L2,V8,M2} I { ! eqangle( X, Y, Z, T, U, W, V0
% 4.13/4.49 , V1 ), eqangle( X, Y, U, W, Z, T, V0, V1 ) }.
% 4.13/4.49 parent0: (24159) {G0,W18,D2,L2,V8,M2} { ! eqangle( X, Y, Z, T, U, W, V0,
% 4.13/4.49 V1 ), eqangle( X, Y, U, W, Z, T, V0, V1 ) }.
% 4.13/4.49 substitution0:
% 4.13/4.49 X := X
% 4.13/4.49 Y := Y
% 4.13/4.49 Z := Z
% 4.13/4.49 T := T
% 4.13/4.49 U := U
% 4.13/4.49 W := W
% 4.13/4.49 V0 := V0
% 4.13/4.49 V1 := V1
% 4.13/4.49 end
% 4.13/4.49 permutation0:
% 4.13/4.49 0 ==> 0
% 4.13/4.49 1 ==> 1
% 4.13/4.49 end
% 4.13/4.49
% 4.13/4.49 subsumption: (21) {G0,W27,D2,L3,V12,M3} I { ! eqangle( X, Y, Z, T, V2, V3,
% 4.13/4.49 V4, V5 ), ! eqangle( V2, V3, V4, V5, U, W, V0, V1 ), eqangle( X, Y, Z, T
% 4.13/4.49 , U, W, V0, V1 ) }.
% 4.13/4.49 parent0: (24160) {G0,W27,D2,L3,V12,M3} { ! eqangle( X, Y, Z, T, V2, V3, V4
% 4.13/4.49 , V5 ), ! eqangle( V2, V3, V4, V5, U, W, V0, V1 ), eqangle( X, Y, Z, T, U
% 4.13/4.49 , W, V0, V1 ) }.
% 4.13/4.49 substitution0:
% 4.13/4.49 X := X
% 4.13/4.49 Y := Y
% 4.13/4.49 Z := Z
% 4.13/4.49 T := T
% 4.13/4.49 U := U
% 4.13/4.49 W := W
% 4.13/4.49 V0 := V0
% 4.13/4.49 V1 := V1
% 4.13/4.49 V2 := V2
% 4.13/4.49 V3 := V3
% 4.13/4.49 V4 := V4
% 4.13/4.49 V5 := V5
% 4.13/4.49 end
% 4.13/4.49 permutation0:
% 4.13/4.49 0 ==> 0
% 4.13/4.49 1 ==> 1
% 4.13/4.49 2 ==> 2
% 4.13/4.49 end
% 4.13/4.49
% 4.13/4.49 subsumption: (39) {G0,W14,D2,L2,V6,M2} I { ! para( X, Y, Z, T ), eqangle( X
% 4.13/4.49 , Y, U, W, Z, T, U, W ) }.
% 4.13/4.49 parent0: (24178) {G0,W14,D2,L2,V6,M2} { ! para( X, Y, Z, T ), eqangle( X,
% 4.13/4.49 Y, U, W, Z, T, U, W ) }.
% 4.13/4.49 substitution0:
% 4.13/4.49 X := X
% 4.13/4.49 Y := Y
% 4.13/4.49 Z := Z
% 4.13/4.49 T := T
% 4.13/4.49 U := U
% 4.13/4.49 W := W
% 4.13/4.49 end
% 4.13/4.49 permutation0:
% 4.13/4.49 0 ==> 0
% 4.13/4.49 1 ==> 1
% 4.13/4.49 end
% 4.13/4.49
% 4.13/4.49 subsumption: (40) {G0,W14,D2,L2,V4,M2} I { ! cyclic( X, Y, Z, T ), eqangle
% 4.13/4.49 ( Z, X, Z, Y, T, X, T, Y ) }.
% 4.13/4.49 parent0: (24179) {G0,W14,D2,L2,V4,M2} { ! cyclic( X, Y, Z, T ), eqangle( Z
% 4.13/4.49 , X, Z, Y, T, X, T, Y ) }.
% 4.13/4.49 substitution0:
% 4.13/4.49 X := X
% 4.13/4.49 Y := Y
% 4.13/4.49 Z := Z
% 4.13/4.49 T := T
% 4.13/4.49 end
% 4.13/4.49 permutation0:
% 4.13/4.49 0 ==> 0
% 4.13/4.49 1 ==> 1
% 4.13/4.49 end
% 4.13/4.49
% 4.13/4.49 subsumption: (42) {G0,W18,D2,L3,V4,M3} I { ! eqangle( Z, X, Z, Y, T, X, T,
% 4.13/4.49 Y ), ! coll( Z, T, Y ), cyclic( X, Y, Z, T ) }.
% 4.13/4.49 parent0: (24181) {G0,W18,D2,L3,V4,M3} { ! eqangle( Z, X, Z, Y, T, X, T, Y
% 4.13/4.49 ), ! coll( Z, T, Y ), cyclic( X, Y, Z, T ) }.
% 4.13/4.49 substitution0:
% 4.13/4.49 X := X
% 4.13/4.49 Y := Y
% 4.13/4.49 Z := Z
% 4.13/4.49 T := T
% 4.13/4.49 end
% 4.13/4.49 permutation0:
% 4.13/4.49 0 ==> 0
% 4.13/4.49 1 ==> 1
% 4.13/4.49 2 ==> 2
% 4.13/4.49 end
% 4.13/4.49
% 4.13/4.49 subsumption: (43) {G0,W29,D2,L5,V6,M5} I { ! cyclic( X, Y, U, Z ), ! cyclic
% 4.13/4.49 ( X, Y, U, T ), ! cyclic( X, Y, U, W ), ! eqangle( U, X, U, Y, W, Z, W, T
% 4.13/4.49 ), cong( X, Y, Z, T ) }.
% 4.13/4.49 parent0: (24182) {G0,W29,D2,L5,V6,M5} { ! cyclic( X, Y, U, Z ), ! cyclic(
% 4.13/4.49 X, Y, U, T ), ! cyclic( X, Y, U, W ), ! eqangle( U, X, U, Y, W, Z, W, T )
% 4.13/4.49 , cong( X, Y, Z, T ) }.
% 4.13/4.49 substitution0:
% 4.13/4.49 X := X
% 4.13/4.49 Y := Y
% 4.13/4.49 Z := Z
% 4.13/4.49 T := T
% 4.13/4.49 U := U
% 4.13/4.49 W := W
% 4.13/4.49 end
% 4.13/4.49 permutation0:
% 4.13/4.49 0 ==> 0
% 4.13/4.49 1 ==> 1
% 4.13/4.49 2 ==> 2
% 4.13/4.49 3 ==> 3
% 4.13/4.49 4 ==> 4
% 4.13/4.49 end
% 4.13/4.49
% 4.13/4.49 subsumption: (56) {G0,W15,D2,L3,V4,M3} I { ! cong( X, Z, Y, Z ), ! cong( X
% 4.13/4.49 , T, Y, T ), perp( X, Y, Z, T ) }.
% 4.13/4.49 parent0: (24195) {G0,W15,D2,L3,V4,M3} { ! cong( X, Z, Y, Z ), ! cong( X, T
% 4.13/4.49 , Y, T ), perp( X, Y, Z, T ) }.
% 4.13/4.49 substitution0:
% 4.13/4.49 X := X
% 4.13/4.49 Y := Y
% 4.13/4.49 Z := Z
% 4.13/4.49 T := T
% 4.13/4.49 end
% 4.13/4.49 permutation0:
% 4.13/4.49 0 ==> 0
% 4.13/4.49 1 ==> 1
% 4.13/4.49 2 ==> 2
% 4.13/4.49 end
% 4.13/4.49
% 4.13/4.49 subsumption: (69) {G0,W8,D2,L2,V3,M2} I { ! midp( X, Y, Z ), coll( X, Y, Z
% 4.13/4.49 ) }.
% 4.13/4.49 parent0: (24208) {G0,W8,D2,L2,V3,M2} { ! midp( X, Y, Z ), coll( X, Y, Z )
% 4.13/4.49 }.
% 4.13/4.49 substitution0:
% 4.13/4.49 X := X
% 4.13/4.49 Y := Y
% 4.13/4.49 Z := Z
% 4.13/4.49 end
% 4.13/4.49 permutation0:
% 4.13/4.49 0 ==> 0
% 4.13/4.49 1 ==> 1
% 4.13/4.49 end
% 4.13/4.49
% 4.13/4.49 subsumption: (88) {G0,W22,D3,L5,V7,M5} I { ! midp( Z, X, Y ), ! midp( W, T
% 4.13/4.49 , U ), ! coll( T, X, Y ), ! coll( U, X, Y ), midp( skol7( X, V0 ), X, V0
% 4.13/4.49 ) }.
% 4.13/4.49 parent0: (24228) {G0,W22,D3,L5,V7,M5} { ! midp( Z, X, Y ), ! midp( W, T, U
% 4.13/4.49 ), ! coll( T, X, Y ), ! coll( U, X, Y ), midp( skol7( X, V0 ), X, V0 )
% 4.13/4.49 }.
% 4.13/4.49 substitution0:
% 4.13/4.49 X := X
% 4.13/4.49 Y := Y
% 4.13/4.49 Z := Z
% 4.13/4.49 T := T
% 4.13/4.49 U := U
% 4.13/4.49 W := W
% 4.13/4.49 V0 := V0
% 4.13/4.49 end
% 4.13/4.49 permutation0:
% 4.13/4.49 0 ==> 0
% 4.13/4.49 1 ==> 1
% 4.13/4.49 2 ==> 2
% 4.13/4.49 3 ==> 3
% 4.13/4.49 4 ==> 4
% 4.13/4.49 end
% 4.13/4.49
% 4.13/4.49 subsumption: (100) {G0,W12,D3,L2,V4,M2} I { ! circle( Y, X, Z, T ), perp(
% 4.13/4.49 skol12( X, Y ), X, X, Y ) }.
% 4.13/4.49 parent0: (24240) {G0,W12,D3,L2,V4,M2} { ! circle( Y, X, Z, T ), perp(
% 4.13/4.49 skol12( X, Y ), X, X, Y ) }.
% 4.13/4.49 substitution0:
% 4.13/4.49 X := X
% 4.13/4.49 Y := Y
% 4.13/4.49 Z := Z
% 4.13/4.49 T := T
% 4.13/4.49 end
% 4.13/4.49 permutation0:
% 4.13/4.49 0 ==> 0
% 4.13/4.49 1 ==> 1
% 4.13/4.49 end
% 4.13/4.49
% 4.13/4.49 subsumption: (110) {G0,W17,D3,L3,V5,M3} I { ! perp( X, U, U, T ), ! coll( T
% 4.13/4.49 , Y, Z ), perp( skol16( X, Y, Z ), X, Y, Z ) }.
% 4.13/4.49 parent0: (24250) {G0,W17,D3,L3,V5,M3} { ! perp( X, U, U, T ), ! coll( T, Y
% 4.13/4.49 , Z ), perp( skol16( X, Y, Z ), X, Y, Z ) }.
% 4.13/4.49 substitution0:
% 4.13/4.49 X := X
% 4.13/4.49 Y := Y
% 4.13/4.49 Z := Z
% 4.13/4.49 T := T
% 4.13/4.49 U := U
% 4.13/4.49 end
% 4.13/4.49 permutation0:
% 4.13/4.49 0 ==> 0
% 4.13/4.49 1 ==> 1
% 4.13/4.49 2 ==> 2
% 4.13/4.49 end
% 4.13/4.49
% 4.13/4.49 subsumption: (119) {G0,W5,D2,L1,V0,M1} I { circle( skol27, skol25, skol28,
% 4.13/4.49 skol29 ) }.
% 4.13/4.49 parent0: (24259) {G0,W5,D2,L1,V0,M1} { circle( skol27, skol25, skol28,
% 4.13/4.49 skol29 ) }.
% 4.13/4.49 substitution0:
% 4.13/4.49 end
% 4.13/4.49 permutation0:
% 4.13/4.49 0 ==> 0
% 4.13/4.49 end
% 4.13/4.49
% 4.13/4.49 subsumption: (120) {G0,W4,D2,L1,V0,M1} I { coll( skol30, skol20, skol27 )
% 4.13/4.49 }.
% 4.13/4.49 parent0: (24260) {G0,W4,D2,L1,V0,M1} { coll( skol30, skol20, skol27 ) }.
% 4.13/4.49 substitution0:
% 4.13/4.49 end
% 4.13/4.49 permutation0:
% 4.13/4.49 0 ==> 0
% 4.13/4.49 end
% 4.13/4.49
% 4.13/4.49 subsumption: (122) {G0,W4,D2,L1,V0,M1} I { midp( skol32, skol30, skol20 )
% 4.13/4.49 }.
% 4.13/4.49 parent0: (24262) {G0,W4,D2,L1,V0,M1} { midp( skol32, skol30, skol20 ) }.
% 4.13/4.49 substitution0:
% 4.13/4.49 end
% 4.13/4.49 permutation0:
% 4.13/4.49 0 ==> 0
% 4.13/4.49 end
% 4.13/4.49
% 4.13/4.49 subsumption: (130) {G0,W9,D2,L1,V0,M1} I { ! eqangle( skol20, skol22,
% 4.13/4.49 skol22, skol24, skol24, skol22, skol22, skol23 ) }.
% 4.13/4.49 parent0: (24270) {G0,W9,D2,L1,V0,M1} { ! eqangle( skol20, skol22, skol22,
% 4.13/4.49 skol24, skol24, skol22, skol22, skol23 ) }.
% 4.13/4.49 substitution0:
% 4.13/4.49 end
% 4.13/4.49 permutation0:
% 4.13/4.49 0 ==> 0
% 4.13/4.49 end
% 4.13/4.49
% 4.13/4.49 factor: (24766) {G0,W18,D3,L4,V4,M4} { ! midp( X, Y, Z ), ! coll( Y, Y, Z
% 4.13/4.49 ), ! coll( Z, Y, Z ), midp( skol7( Y, T ), Y, T ) }.
% 4.13/4.49 parent0[0, 1]: (88) {G0,W22,D3,L5,V7,M5} I { ! midp( Z, X, Y ), ! midp( W,
% 4.13/4.49 T, U ), ! coll( T, X, Y ), ! coll( U, X, Y ), midp( skol7( X, V0 ), X, V0
% 4.13/4.49 ) }.
% 4.13/4.49 substitution0:
% 4.13/4.49 X := Y
% 4.13/4.49 Y := Z
% 4.13/4.49 Z := X
% 4.13/4.49 T := Y
% 4.13/4.49 U := Z
% 4.13/4.49 W := X
% 4.13/4.49 V0 := T
% 4.13/4.49 end
% 4.13/4.49
% 4.13/4.49 subsumption: (153) {G1,W18,D3,L4,V4,M4} F(88) { ! midp( X, Y, Z ), ! coll(
% 4.13/4.49 Y, Y, Z ), ! coll( Z, Y, Z ), midp( skol7( Y, T ), Y, T ) }.
% 4.13/4.49 parent0: (24766) {G0,W18,D3,L4,V4,M4} { ! midp( X, Y, Z ), ! coll( Y, Y, Z
% 4.13/4.49 ), ! coll( Z, Y, Z ), midp( skol7( Y, T ), Y, T ) }.
% 4.13/4.49 substitution0:
% 4.13/4.49 X := X
% 4.13/4.49 Y := Y
% 4.13/4.49 Z := Z
% 4.13/4.49 T := T
% 4.13/4.49 end
% 4.13/4.49 permutation0:
% 4.13/4.49 0 ==> 0
% 4.13/4.49 1 ==> 1
% 4.13/4.49 2 ==> 2
% 4.13/4.49 3 ==> 3
% 4.13/4.49 end
% 4.13/4.49
% 4.13/4.49 resolution: (24769) {G1,W8,D2,L2,V3,M2} { coll( Y, X, Z ), ! coll( X, Z, Y
% 4.13/4.49 ) }.
% 4.13/4.49 parent0[0]: (1) {G0,W8,D2,L2,V3,M2} I { ! coll( X, Y, Z ), coll( Y, X, Z )
% 4.13/4.49 }.
% 4.13/4.49 parent1[1]: (0) {G0,W8,D2,L2,V3,M2} I { ! coll( X, Y, Z ), coll( X, Z, Y )
% 4.13/4.49 }.
% 4.13/4.49 substitution0:
% 4.13/4.49 X := X
% 4.13/4.49 Y := Y
% 4.13/4.49 Z := Z
% 4.13/4.49 end
% 4.13/4.49 substitution1:
% 4.13/4.49 X := X
% 4.13/4.49 Y := Z
% 4.13/4.49 Z := Y
% 4.13/4.49 end
% 4.13/4.49
% 4.13/4.49 subsumption: (176) {G1,W8,D2,L2,V3,M2} R(1,0) { coll( X, Y, Z ), ! coll( Y
% 4.13/4.49 , Z, X ) }.
% 4.13/4.49 parent0: (24769) {G1,W8,D2,L2,V3,M2} { coll( Y, X, Z ), ! coll( X, Z, Y )
% 4.13/4.49 }.
% 4.13/4.49 substitution0:
% 4.13/4.49 X := Y
% 4.13/4.49 Y := X
% 4.13/4.49 Z := Z
% 4.13/4.49 end
% 4.13/4.49 permutation0:
% 4.13/4.49 0 ==> 0
% 4.13/4.49 1 ==> 1
% 4.13/4.49 end
% 4.13/4.49
% 4.13/4.49 resolution: (24771) {G1,W8,D2,L2,V3,M2} { coll( X, Z, Y ), ! coll( Y, X, Z
% 4.13/4.49 ) }.
% 4.13/4.49 parent0[0]: (0) {G0,W8,D2,L2,V3,M2} I { ! coll( X, Y, Z ), coll( X, Z, Y )
% 4.13/4.50 }.
% 4.13/4.50 parent1[1]: (1) {G0,W8,D2,L2,V3,M2} I { ! coll( X, Y, Z ), coll( Y, X, Z )
% 4.13/4.50 }.
% 4.13/4.50 substitution0:
% 4.13/4.50 X := X
% 4.13/4.50 Y := Y
% 4.13/4.50 Z := Z
% 4.13/4.50 end
% 4.13/4.50 substitution1:
% 4.13/4.50 X := Y
% 4.13/4.50 Y := X
% 4.13/4.50 Z := Z
% 4.13/4.50 end
% 4.13/4.50
% 4.13/4.50 subsumption: (177) {G1,W8,D2,L2,V3,M2} R(1,0) { ! coll( X, Y, Z ), coll( Y
% 4.13/4.50 , Z, X ) }.
% 4.13/4.50 parent0: (24771) {G1,W8,D2,L2,V3,M2} { coll( X, Z, Y ), ! coll( Y, X, Z )
% 4.13/4.50 }.
% 4.13/4.50 substitution0:
% 4.13/4.50 X := Y
% 4.13/4.50 Y := X
% 4.13/4.50 Z := Z
% 4.13/4.50 end
% 4.13/4.50 permutation0:
% 4.13/4.50 0 ==> 1
% 4.13/4.50 1 ==> 0
% 4.13/4.50 end
% 4.13/4.50
% 4.13/4.50 resolution: (24775) {G1,W12,D2,L3,V4,M3} { coll( X, Z, Y ), ! coll( Z, T,
% 4.13/4.50 X ), ! coll( Z, T, Y ) }.
% 4.13/4.50 parent0[0]: (0) {G0,W8,D2,L2,V3,M2} I { ! coll( X, Y, Z ), coll( X, Z, Y )
% 4.13/4.50 }.
% 4.13/4.50 parent1[2]: (2) {G0,W12,D2,L3,V4,M3} I { ! coll( X, T, Y ), ! coll( X, T, Z
% 4.13/4.50 ), coll( Y, Z, X ) }.
% 4.13/4.50 substitution0:
% 4.13/4.50 X := X
% 4.13/4.50 Y := Y
% 4.13/4.50 Z := Z
% 4.13/4.50 end
% 4.13/4.50 substitution1:
% 4.13/4.50 X := Z
% 4.13/4.50 Y := X
% 4.13/4.50 Z := Y
% 4.13/4.50 T := T
% 4.13/4.50 end
% 4.13/4.50
% 4.13/4.50 subsumption: (207) {G1,W12,D2,L3,V4,M3} R(2,0) { ! coll( X, Y, Z ), ! coll
% 4.13/4.50 ( X, Y, T ), coll( Z, X, T ) }.
% 4.13/4.50 parent0: (24775) {G1,W12,D2,L3,V4,M3} { coll( X, Z, Y ), ! coll( Z, T, X )
% 4.13/4.50 , ! coll( Z, T, Y ) }.
% 4.13/4.50 substitution0:
% 4.13/4.50 X := Z
% 4.13/4.50 Y := T
% 4.13/4.50 Z := X
% 4.13/4.50 T := Y
% 4.13/4.50 end
% 4.13/4.50 permutation0:
% 4.13/4.50 0 ==> 2
% 4.13/4.50 1 ==> 0
% 4.13/4.50 2 ==> 1
% 4.13/4.50 end
% 4.13/4.50
% 4.13/4.50 factor: (24777) {G1,W8,D2,L2,V3,M2} { ! coll( X, Y, Z ), coll( Z, X, Z )
% 4.13/4.50 }.
% 4.13/4.50 parent0[0, 1]: (207) {G1,W12,D2,L3,V4,M3} R(2,0) { ! coll( X, Y, Z ), !
% 4.13/4.50 coll( X, Y, T ), coll( Z, X, T ) }.
% 4.13/4.50 substitution0:
% 4.13/4.50 X := X
% 4.13/4.50 Y := Y
% 4.13/4.50 Z := Z
% 4.13/4.50 T := Z
% 4.13/4.50 end
% 4.13/4.50
% 4.13/4.50 subsumption: (216) {G2,W8,D2,L2,V3,M2} F(207) { ! coll( X, Y, Z ), coll( Z
% 4.13/4.50 , X, Z ) }.
% 4.13/4.50 parent0: (24777) {G1,W8,D2,L2,V3,M2} { ! coll( X, Y, Z ), coll( Z, X, Z )
% 4.13/4.50 }.
% 4.13/4.50 substitution0:
% 4.13/4.50 X := X
% 4.13/4.50 Y := Y
% 4.13/4.50 Z := Z
% 4.13/4.50 end
% 4.13/4.50 permutation0:
% 4.13/4.50 0 ==> 0
% 4.13/4.50 1 ==> 1
% 4.13/4.50 end
% 4.13/4.50
% 4.13/4.50 resolution: (24778) {G1,W4,D2,L1,V0,M1} { coll( skol20, skol30, skol27 )
% 4.13/4.50 }.
% 4.13/4.50 parent0[0]: (1) {G0,W8,D2,L2,V3,M2} I { ! coll( X, Y, Z ), coll( Y, X, Z )
% 4.13/4.50 }.
% 4.13/4.50 parent1[0]: (120) {G0,W4,D2,L1,V0,M1} I { coll( skol30, skol20, skol27 )
% 4.13/4.50 }.
% 4.13/4.50 substitution0:
% 4.13/4.50 X := skol30
% 4.13/4.50 Y := skol20
% 4.13/4.50 Z := skol27
% 4.13/4.50 end
% 4.13/4.50 substitution1:
% 4.13/4.50 end
% 4.13/4.50
% 4.13/4.50 subsumption: (260) {G1,W4,D2,L1,V0,M1} R(120,1) { coll( skol20, skol30,
% 4.13/4.50 skol27 ) }.
% 4.13/4.50 parent0: (24778) {G1,W4,D2,L1,V0,M1} { coll( skol20, skol30, skol27 ) }.
% 4.13/4.50 substitution0:
% 4.13/4.50 end
% 4.13/4.50 permutation0:
% 4.13/4.50 0 ==> 0
% 4.13/4.50 end
% 4.13/4.50
% 4.13/4.50 resolution: (24779) {G1,W4,D2,L1,V0,M1} { coll( skol20, skol27, skol30 )
% 4.13/4.50 }.
% 4.13/4.50 parent0[0]: (0) {G0,W8,D2,L2,V3,M2} I { ! coll( X, Y, Z ), coll( X, Z, Y )
% 4.13/4.50 }.
% 4.13/4.50 parent1[0]: (260) {G1,W4,D2,L1,V0,M1} R(120,1) { coll( skol20, skol30,
% 4.13/4.50 skol27 ) }.
% 4.13/4.50 substitution0:
% 4.13/4.50 X := skol20
% 4.13/4.50 Y := skol30
% 4.13/4.50 Z := skol27
% 4.13/4.50 end
% 4.13/4.50 substitution1:
% 4.13/4.50 end
% 4.13/4.50
% 4.13/4.50 subsumption: (264) {G2,W4,D2,L1,V0,M1} R(260,0) { coll( skol20, skol27,
% 4.13/4.50 skol30 ) }.
% 4.13/4.50 parent0: (24779) {G1,W4,D2,L1,V0,M1} { coll( skol20, skol27, skol30 ) }.
% 4.13/4.50 substitution0:
% 4.13/4.50 end
% 4.13/4.50 permutation0:
% 4.13/4.50 0 ==> 0
% 4.13/4.50 end
% 4.13/4.50
% 4.13/4.50 resolution: (24781) {G1,W10,D2,L2,V4,M2} { perp( X, Y, T, Z ), ! perp( Z,
% 4.13/4.50 T, X, Y ) }.
% 4.13/4.50 parent0[0]: (6) {G0,W10,D2,L2,V4,M2} I { ! perp( X, Y, Z, T ), perp( X, Y,
% 4.13/4.50 T, Z ) }.
% 4.13/4.50 parent1[1]: (7) {G0,W10,D2,L2,V4,M2} I { ! perp( X, Y, Z, T ), perp( Z, T,
% 4.13/4.50 X, Y ) }.
% 4.13/4.50 substitution0:
% 4.13/4.50 X := X
% 4.13/4.50 Y := Y
% 4.13/4.50 Z := Z
% 4.13/4.50 T := T
% 4.13/4.50 end
% 4.13/4.50 substitution1:
% 4.13/4.50 X := Z
% 4.13/4.50 Y := T
% 4.13/4.50 Z := X
% 4.13/4.50 T := Y
% 4.13/4.50 end
% 4.13/4.50
% 4.13/4.50 subsumption: (276) {G1,W10,D2,L2,V4,M2} R(7,6) { ! perp( X, Y, Z, T ), perp
% 4.13/4.50 ( Z, T, Y, X ) }.
% 4.13/4.50 parent0: (24781) {G1,W10,D2,L2,V4,M2} { perp( X, Y, T, Z ), ! perp( Z, T,
% 4.13/4.50 X, Y ) }.
% 4.13/4.50 substitution0:
% 4.13/4.50 X := Z
% 4.13/4.50 Y := T
% 4.13/4.50 Z := X
% 4.13/4.50 T := Y
% 4.13/4.50 end
% 4.13/4.50 permutation0:
% 4.13/4.50 0 ==> 1
% 4.13/4.50 1 ==> 0
% 4.13/4.50 end
% 4.13/4.50
% 4.13/4.50 resolution: (24782) {G1,W15,D2,L3,V6,M3} { ! perp( Z, T, U, W ), para( X,
% 4.13/4.50 Y, U, W ), ! perp( Z, T, X, Y ) }.
% 4.13/4.50 parent0[0]: (8) {G0,W15,D2,L3,V6,M3} I { ! perp( X, Y, U, W ), ! perp( U, W
% 4.13/4.50 , Z, T ), para( X, Y, Z, T ) }.
% 4.13/4.50 parent1[1]: (7) {G0,W10,D2,L2,V4,M2} I { ! perp( X, Y, Z, T ), perp( Z, T,
% 4.13/4.50 X, Y ) }.
% 4.13/4.50 substitution0:
% 4.13/4.50 X := X
% 4.13/4.50 Y := Y
% 4.13/4.50 Z := U
% 4.13/4.50 T := W
% 4.13/4.50 U := Z
% 4.13/4.50 W := T
% 4.13/4.50 end
% 4.13/4.50 substitution1:
% 4.13/4.50 X := Z
% 4.13/4.50 Y := T
% 4.13/4.50 Z := X
% 4.13/4.50 T := Y
% 4.13/4.50 end
% 4.13/4.50
% 4.13/4.50 subsumption: (281) {G1,W15,D2,L3,V6,M3} R(8,7) { ! perp( X, Y, Z, T ), para
% 4.13/4.50 ( U, W, Z, T ), ! perp( X, Y, U, W ) }.
% 4.13/4.50 parent0: (24782) {G1,W15,D2,L3,V6,M3} { ! perp( Z, T, U, W ), para( X, Y,
% 4.13/4.50 U, W ), ! perp( Z, T, X, Y ) }.
% 4.13/4.50 substitution0:
% 4.13/4.50 X := U
% 4.13/4.50 Y := W
% 4.13/4.50 Z := X
% 4.13/4.50 T := Y
% 4.13/4.50 U := Z
% 4.13/4.50 W := T
% 4.13/4.50 end
% 4.13/4.50 permutation0:
% 4.13/4.50 0 ==> 0
% 4.13/4.50 1 ==> 1
% 4.13/4.50 2 ==> 2
% 4.13/4.50 end
% 4.13/4.50
% 4.13/4.50 resolution: (24787) {G1,W15,D2,L3,V6,M3} { ! perp( X, Y, Z, T ), para( X,
% 4.13/4.50 Y, U, W ), ! perp( U, W, Z, T ) }.
% 4.13/4.50 parent0[1]: (8) {G0,W15,D2,L3,V6,M3} I { ! perp( X, Y, U, W ), ! perp( U, W
% 4.13/4.50 , Z, T ), para( X, Y, Z, T ) }.
% 4.13/4.50 parent1[1]: (7) {G0,W10,D2,L2,V4,M2} I { ! perp( X, Y, Z, T ), perp( Z, T,
% 4.13/4.50 X, Y ) }.
% 4.13/4.50 substitution0:
% 4.13/4.50 X := X
% 4.13/4.50 Y := Y
% 4.13/4.50 Z := U
% 4.13/4.50 T := W
% 4.13/4.50 U := Z
% 4.13/4.50 W := T
% 4.13/4.50 end
% 4.13/4.50 substitution1:
% 4.13/4.50 X := U
% 4.13/4.50 Y := W
% 4.13/4.50 Z := Z
% 4.13/4.50 T := T
% 4.13/4.50 end
% 4.13/4.50
% 4.13/4.50 subsumption: (282) {G1,W15,D2,L3,V6,M3} R(8,7) { ! perp( X, Y, Z, T ), para
% 4.13/4.50 ( X, Y, U, W ), ! perp( U, W, Z, T ) }.
% 4.13/4.50 parent0: (24787) {G1,W15,D2,L3,V6,M3} { ! perp( X, Y, Z, T ), para( X, Y,
% 4.13/4.50 U, W ), ! perp( U, W, Z, T ) }.
% 4.13/4.50 substitution0:
% 4.13/4.50 X := X
% 4.13/4.50 Y := Y
% 4.13/4.50 Z := Z
% 4.13/4.50 T := T
% 4.13/4.50 U := U
% 4.13/4.50 W := W
% 4.13/4.50 end
% 4.13/4.50 permutation0:
% 4.13/4.50 0 ==> 0
% 4.13/4.50 1 ==> 1
% 4.13/4.50 2 ==> 2
% 4.13/4.50 end
% 4.13/4.50
% 4.13/4.50 factor: (24790) {G1,W10,D2,L2,V4,M2} { ! perp( X, Y, Z, T ), para( X, Y, X
% 4.13/4.50 , Y ) }.
% 4.13/4.50 parent0[0, 2]: (282) {G1,W15,D2,L3,V6,M3} R(8,7) { ! perp( X, Y, Z, T ),
% 4.13/4.50 para( X, Y, U, W ), ! perp( U, W, Z, T ) }.
% 4.13/4.50 substitution0:
% 4.13/4.50 X := X
% 4.13/4.50 Y := Y
% 4.13/4.50 Z := Z
% 4.13/4.50 T := T
% 4.13/4.50 U := X
% 4.13/4.50 W := Y
% 4.13/4.50 end
% 4.13/4.50
% 4.13/4.50 subsumption: (290) {G2,W10,D2,L2,V4,M2} F(282) { ! perp( X, Y, Z, T ), para
% 4.13/4.50 ( X, Y, X, Y ) }.
% 4.13/4.50 parent0: (24790) {G1,W10,D2,L2,V4,M2} { ! perp( X, Y, Z, T ), para( X, Y,
% 4.13/4.50 X, Y ) }.
% 4.13/4.50 substitution0:
% 4.13/4.50 X := X
% 4.13/4.50 Y := Y
% 4.13/4.50 Z := Z
% 4.13/4.50 T := T
% 4.13/4.50 end
% 4.13/4.50 permutation0:
% 4.13/4.50 0 ==> 0
% 4.13/4.50 1 ==> 1
% 4.13/4.50 end
% 4.13/4.50
% 4.13/4.50 resolution: (24791) {G3,W4,D2,L1,V0,M1} { coll( skol30, skol20, skol30 )
% 4.13/4.50 }.
% 4.13/4.50 parent0[0]: (216) {G2,W8,D2,L2,V3,M2} F(207) { ! coll( X, Y, Z ), coll( Z,
% 4.13/4.50 X, Z ) }.
% 4.13/4.50 parent1[0]: (264) {G2,W4,D2,L1,V0,M1} R(260,0) { coll( skol20, skol27,
% 4.13/4.50 skol30 ) }.
% 4.13/4.50 substitution0:
% 4.13/4.50 X := skol20
% 4.13/4.50 Y := skol27
% 4.13/4.50 Z := skol30
% 4.13/4.50 end
% 4.13/4.50 substitution1:
% 4.13/4.50 end
% 4.13/4.50
% 4.13/4.50 subsumption: (363) {G3,W4,D2,L1,V0,M1} R(216,264) { coll( skol30, skol20,
% 4.13/4.50 skol30 ) }.
% 4.13/4.50 parent0: (24791) {G3,W4,D2,L1,V0,M1} { coll( skol30, skol20, skol30 ) }.
% 4.13/4.50 substitution0:
% 4.13/4.50 end
% 4.13/4.50 permutation0:
% 4.13/4.50 0 ==> 0
% 4.13/4.50 end
% 4.13/4.50
% 4.13/4.50 resolution: (24792) {G1,W12,D2,L3,V4,M3} { coll( Z, X, Z ), ! coll( Z, T,
% 4.13/4.50 X ), ! coll( Z, T, Y ) }.
% 4.13/4.50 parent0[0]: (216) {G2,W8,D2,L2,V3,M2} F(207) { ! coll( X, Y, Z ), coll( Z,
% 4.13/4.50 X, Z ) }.
% 4.13/4.50 parent1[2]: (2) {G0,W12,D2,L3,V4,M3} I { ! coll( X, T, Y ), ! coll( X, T, Z
% 4.13/4.50 ), coll( Y, Z, X ) }.
% 4.13/4.50 substitution0:
% 4.13/4.50 X := X
% 4.13/4.50 Y := Y
% 4.13/4.50 Z := Z
% 4.13/4.50 end
% 4.13/4.50 substitution1:
% 4.13/4.50 X := Z
% 4.13/4.50 Y := X
% 4.13/4.50 Z := Y
% 4.13/4.50 T := T
% 4.13/4.50 end
% 4.13/4.50
% 4.13/4.50 subsumption: (377) {G3,W12,D2,L3,V4,M3} R(216,2) { coll( X, Y, X ), ! coll
% 4.13/4.50 ( X, Z, Y ), ! coll( X, Z, T ) }.
% 4.13/4.50 parent0: (24792) {G1,W12,D2,L3,V4,M3} { coll( Z, X, Z ), ! coll( Z, T, X )
% 4.13/4.50 , ! coll( Z, T, Y ) }.
% 4.13/4.50 substitution0:
% 4.13/4.50 X := Y
% 4.13/4.50 Y := Y
% 4.13/4.50 Z := X
% 4.13/4.50 T := Z
% 4.13/4.50 end
% 4.13/4.50 permutation0:
% 4.13/4.50 0 ==> 0
% 4.13/4.50 1 ==> 1
% 4.13/4.50 2 ==> 1
% 4.13/4.50 end
% 4.13/4.50
% 4.13/4.50 factor: (24794) {G3,W8,D2,L2,V3,M2} { coll( X, Y, X ), ! coll( X, Z, Y )
% 4.13/4.50 }.
% 4.13/4.50 parent0[1, 2]: (377) {G3,W12,D2,L3,V4,M3} R(216,2) { coll( X, Y, X ), !
% 4.13/4.50 coll( X, Z, Y ), ! coll( X, Z, T ) }.
% 4.13/4.50 substitution0:
% 4.13/4.50 X := X
% 4.13/4.50 Y := Y
% 4.13/4.50 Z := Z
% 4.13/4.50 T := Y
% 4.13/4.50 end
% 4.13/4.50
% 4.13/4.50 subsumption: (393) {G4,W8,D2,L2,V3,M2} F(377) { coll( X, Y, X ), ! coll( X
% 4.13/4.50 , Z, Y ) }.
% 4.13/4.50 parent0: (24794) {G3,W8,D2,L2,V3,M2} { coll( X, Y, X ), ! coll( X, Z, Y )
% 4.13/4.50 }.
% 4.13/4.50 substitution0:
% 4.13/4.50 X := X
% 4.13/4.50 Y := Y
% 4.13/4.50 Z := Z
% 4.13/4.50 end
% 4.13/4.50 permutation0:
% 4.13/4.50 0 ==> 0
% 4.13/4.50 1 ==> 1
% 4.13/4.50 end
% 4.13/4.50
% 4.13/4.50 resolution: (24796) {G1,W10,D2,L2,V4,M2} { cyclic( X, Y, T, Z ), ! cyclic
% 4.13/4.50 ( X, Z, Y, T ) }.
% 4.13/4.50 parent0[0]: (13) {G0,W10,D2,L2,V4,M2} I { ! cyclic( X, Y, Z, T ), cyclic( X
% 4.13/4.50 , Y, T, Z ) }.
% 4.13/4.50 parent1[1]: (14) {G0,W10,D2,L2,V4,M2} I { ! cyclic( X, Y, Z, T ), cyclic( X
% 4.13/4.50 , Z, Y, T ) }.
% 4.13/4.50 substitution0:
% 4.13/4.50 X := X
% 4.13/4.50 Y := Y
% 4.13/4.50 Z := Z
% 4.13/4.50 T := T
% 4.13/4.50 end
% 4.13/4.50 substitution1:
% 4.13/4.50 X := X
% 4.13/4.50 Y := Z
% 4.13/4.50 Z := Y
% 4.13/4.50 T := T
% 4.13/4.50 end
% 4.13/4.50
% 4.13/4.50 subsumption: (408) {G1,W10,D2,L2,V4,M2} R(14,13) { ! cyclic( X, Y, Z, T ),
% 4.13/4.50 cyclic( X, Z, T, Y ) }.
% 4.13/4.50 parent0: (24796) {G1,W10,D2,L2,V4,M2} { cyclic( X, Y, T, Z ), ! cyclic( X
% 4.13/4.50 , Z, Y, T ) }.
% 4.13/4.50 substitution0:
% 4.13/4.50 X := X
% 4.13/4.50 Y := Z
% 4.13/4.50 Z := Y
% 4.13/4.50 T := T
% 4.13/4.50 end
% 4.13/4.50 permutation0:
% 4.13/4.50 0 ==> 1
% 4.13/4.50 1 ==> 0
% 4.13/4.50 end
% 4.13/4.50
% 4.13/4.50 resolution: (24798) {G1,W10,D2,L2,V4,M2} { cyclic( X, Z, Y, T ), ! cyclic
% 4.13/4.50 ( Y, X, Z, T ) }.
% 4.13/4.50 parent0[0]: (14) {G0,W10,D2,L2,V4,M2} I { ! cyclic( X, Y, Z, T ), cyclic( X
% 4.13/4.50 , Z, Y, T ) }.
% 4.13/4.50 parent1[1]: (15) {G0,W10,D2,L2,V4,M2} I { ! cyclic( X, Y, Z, T ), cyclic( Y
% 4.13/4.50 , X, Z, T ) }.
% 4.13/4.50 substitution0:
% 4.13/4.50 X := X
% 4.13/4.50 Y := Y
% 4.13/4.50 Z := Z
% 4.13/4.50 T := T
% 4.13/4.50 end
% 4.13/4.50 substitution1:
% 4.13/4.50 X := Y
% 4.13/4.50 Y := X
% 4.13/4.50 Z := Z
% 4.13/4.50 T := T
% 4.13/4.50 end
% 4.13/4.50
% 4.13/4.50 subsumption: (417) {G1,W10,D2,L2,V4,M2} R(15,14) { ! cyclic( X, Y, Z, T ),
% 4.13/4.50 cyclic( Y, Z, X, T ) }.
% 4.13/4.50 parent0: (24798) {G1,W10,D2,L2,V4,M2} { cyclic( X, Z, Y, T ), ! cyclic( Y
% 4.13/4.50 , X, Z, T ) }.
% 4.13/4.50 substitution0:
% 4.13/4.50 X := Y
% 4.13/4.50 Y := X
% 4.13/4.50 Z := Z
% 4.13/4.50 T := T
% 4.13/4.50 end
% 4.13/4.50 permutation0:
% 4.13/4.50 0 ==> 1
% 4.13/4.50 1 ==> 0
% 4.13/4.50 end
% 4.13/4.50
% 4.13/4.50 resolution: (24799) {G1,W4,D2,L1,V0,M1} { coll( skol30, skol30, skol20 )
% 4.13/4.50 }.
% 4.13/4.50 parent0[0]: (0) {G0,W8,D2,L2,V3,M2} I { ! coll( X, Y, Z ), coll( X, Z, Y )
% 4.13/4.50 }.
% 4.13/4.50 parent1[0]: (363) {G3,W4,D2,L1,V0,M1} R(216,264) { coll( skol30, skol20,
% 4.13/4.50 skol30 ) }.
% 4.13/4.50 substitution0:
% 4.13/4.50 X := skol30
% 4.13/4.50 Y := skol20
% 4.13/4.50 Z := skol30
% 4.13/4.50 end
% 4.13/4.50 substitution1:
% 4.13/4.50 end
% 4.13/4.50
% 4.13/4.50 subsumption: (426) {G4,W4,D2,L1,V0,M1} R(363,0) { coll( skol30, skol30,
% 4.13/4.50 skol20 ) }.
% 4.13/4.50 parent0: (24799) {G1,W4,D2,L1,V0,M1} { coll( skol30, skol30, skol20 ) }.
% 4.13/4.50 substitution0:
% 4.13/4.50 end
% 4.13/4.50 permutation0:
% 4.13/4.50 0 ==> 0
% 4.13/4.50 end
% 4.13/4.50
% 4.13/4.50 resolution: (24801) {G1,W15,D2,L3,V5,M3} { ! cyclic( X, Y, Z, T ), cyclic
% 4.13/4.50 ( Y, Z, T, U ), ! cyclic( X, Y, U, Z ) }.
% 4.13/4.50 parent0[1]: (16) {G0,W15,D2,L3,V5,M3} I { ! cyclic( U, X, Y, Z ), ! cyclic
% 4.13/4.50 ( U, X, Y, T ), cyclic( X, Y, Z, T ) }.
% 4.13/4.50 parent1[1]: (13) {G0,W10,D2,L2,V4,M2} I { ! cyclic( X, Y, Z, T ), cyclic( X
% 4.13/4.50 , Y, T, Z ) }.
% 4.13/4.50 substitution0:
% 4.13/4.50 X := Y
% 4.13/4.50 Y := Z
% 4.13/4.50 Z := T
% 4.13/4.50 T := U
% 4.13/4.50 U := X
% 4.13/4.50 end
% 4.13/4.50 substitution1:
% 4.13/4.50 X := X
% 4.13/4.50 Y := Y
% 4.13/4.50 Z := U
% 4.13/4.50 T := Z
% 4.13/4.50 end
% 4.13/4.50
% 4.13/4.50 subsumption: (443) {G1,W15,D2,L3,V5,M3} R(16,13) { ! cyclic( X, Y, Z, T ),
% 4.13/4.50 cyclic( Y, Z, T, U ), ! cyclic( X, Y, U, Z ) }.
% 4.13/4.50 parent0: (24801) {G1,W15,D2,L3,V5,M3} { ! cyclic( X, Y, Z, T ), cyclic( Y
% 4.13/4.50 , Z, T, U ), ! cyclic( X, Y, U, Z ) }.
% 4.13/4.50 substitution0:
% 4.13/4.50 X := X
% 4.13/4.50 Y := Y
% 4.13/4.50 Z := Z
% 4.13/4.50 T := T
% 4.13/4.50 U := U
% 4.13/4.50 end
% 4.13/4.50 permutation0:
% 4.13/4.50 0 ==> 0
% 4.13/4.50 1 ==> 1
% 4.13/4.50 2 ==> 2
% 4.13/4.50 end
% 4.13/4.50
% 4.13/4.50 resolution: (24804) {G1,W18,D2,L2,V8,M2} { eqangle( U, W, V0, V1, X, Y, Z
% 4.13/4.50 , T ), ! eqangle( X, Y, U, W, Z, T, V0, V1 ) }.
% 4.13/4.50 parent0[0]: (19) {G0,W18,D2,L2,V8,M2} I { ! eqangle( X, Y, Z, T, U, W, V0,
% 4.13/4.50 V1 ), eqangle( U, W, V0, V1, X, Y, Z, T ) }.
% 4.13/4.50 parent1[1]: (20) {G0,W18,D2,L2,V8,M2} I { ! eqangle( X, Y, Z, T, U, W, V0,
% 4.13/4.50 V1 ), eqangle( X, Y, U, W, Z, T, V0, V1 ) }.
% 4.13/4.50 substitution0:
% 4.13/4.50 X := X
% 4.13/4.50 Y := Y
% 4.13/4.50 Z := Z
% 4.13/4.50 T := T
% 4.13/4.50 U := U
% 4.13/4.50 W := W
% 4.13/4.50 V0 := V0
% 4.13/4.50 V1 := V1
% 4.13/4.50 end
% 4.13/4.50 substitution1:
% 4.13/4.50 X := X
% 4.13/4.50 Y := Y
% 4.13/4.50 Z := U
% 4.13/4.50 T := W
% 4.13/4.50 U := Z
% 4.13/4.50 W := T
% 4.13/4.50 V0 := V0
% 4.13/4.50 V1 := V1
% 4.13/4.50 end
% 4.13/4.50
% 4.13/4.50 subsumption: (484) {G1,W18,D2,L2,V8,M2} R(20,19) { ! eqangle( X, Y, Z, T, U
% 4.13/4.50 , W, V0, V1 ), eqangle( Z, T, V0, V1, X, Y, U, W ) }.
% 4.13/4.50 parent0: (24804) {G1,W18,D2,L2,V8,M2} { eqangle( U, W, V0, V1, X, Y, Z, T
% 4.13/4.50 ), ! eqangle( X, Y, U, W, Z, T, V0, V1 ) }.
% 4.13/4.50 substitution0:
% 4.13/4.50 X := X
% 4.13/4.50 Y := Y
% 4.13/4.50 Z := U
% 4.13/4.50 T := W
% 4.13/4.50 U := Z
% 4.13/4.50 W := T
% 4.13/4.50 V0 := V0
% 4.13/4.50 V1 := V1
% 4.13/4.50 end
% 4.13/4.50 permutation0:
% 4.13/4.50 0 ==> 1
% 4.13/4.50 1 ==> 0
% 4.13/4.50 end
% 4.13/4.50
% 4.13/4.50 resolution: (24806) {G1,W8,D2,L2,V3,M2} { coll( Y, X, X ), ! coll( X, Z, Y
% 4.13/4.50 ) }.
% 4.13/4.50 parent0[0]: (1) {G0,W8,D2,L2,V3,M2} I { ! coll( X, Y, Z ), coll( Y, X, Z )
% 4.13/4.50 }.
% 4.13/4.50 parent1[0]: (393) {G4,W8,D2,L2,V3,M2} F(377) { coll( X, Y, X ), ! coll( X,
% 4.13/4.50 Z, Y ) }.
% 4.13/4.50 substitution0:
% 4.13/4.50 X := X
% 4.13/4.50 Y := Y
% 4.13/4.50 Z := X
% 4.13/4.50 end
% 4.13/4.50 substitution1:
% 4.13/4.50 X := X
% 4.13/4.50 Y := Y
% 4.13/4.50 Z := Z
% 4.13/4.50 end
% 4.13/4.50
% 4.13/4.50 subsumption: (697) {G5,W8,D2,L2,V3,M2} R(393,1) { ! coll( X, Y, Z ), coll(
% 4.13/4.50 Z, X, X ) }.
% 4.13/4.50 parent0: (24806) {G1,W8,D2,L2,V3,M2} { coll( Y, X, X ), ! coll( X, Z, Y )
% 4.13/4.50 }.
% 4.13/4.50 substitution0:
% 4.13/4.50 X := X
% 4.13/4.50 Y := Z
% 4.13/4.50 Z := Y
% 4.13/4.50 end
% 4.13/4.50 permutation0:
% 4.13/4.50 0 ==> 1
% 4.13/4.50 1 ==> 0
% 4.13/4.50 end
% 4.13/4.50
% 4.13/4.50 resolution: (24807) {G1,W8,D2,L2,V3,M2} { coll( Z, X, X ), ! coll( Y, X, Z
% 4.13/4.50 ) }.
% 4.13/4.50 parent0[0]: (697) {G5,W8,D2,L2,V3,M2} R(393,1) { ! coll( X, Y, Z ), coll( Z
% 4.13/4.50 , X, X ) }.
% 4.13/4.50 parent1[1]: (1) {G0,W8,D2,L2,V3,M2} I { ! coll( X, Y, Z ), coll( Y, X, Z )
% 4.13/4.50 }.
% 4.13/4.50 substitution0:
% 4.13/4.50 X := X
% 4.13/4.50 Y := Y
% 4.13/4.50 Z := Z
% 4.13/4.50 end
% 4.13/4.50 substitution1:
% 4.13/4.50 X := Y
% 4.13/4.50 Y := X
% 4.13/4.50 Z := Z
% 4.13/4.50 end
% 4.13/4.50
% 4.13/4.50 subsumption: (702) {G6,W8,D2,L2,V3,M2} R(697,1) { coll( X, Y, Y ), ! coll(
% 4.13/4.50 Z, Y, X ) }.
% 4.13/4.50 parent0: (24807) {G1,W8,D2,L2,V3,M2} { coll( Z, X, X ), ! coll( Y, X, Z )
% 4.13/4.50 }.
% 4.13/4.50 substitution0:
% 4.13/4.50 X := Y
% 4.13/4.50 Y := Z
% 4.13/4.50 Z := X
% 4.13/4.50 end
% 4.13/4.50 permutation0:
% 4.13/4.50 0 ==> 0
% 4.13/4.50 1 ==> 1
% 4.13/4.50 end
% 4.13/4.50
% 4.13/4.50 resolution: (24808) {G1,W8,D2,L2,V3,M2} { coll( Z, X, X ), ! coll( X, Z, Y
% 4.13/4.50 ) }.
% 4.13/4.50 parent0[0]: (697) {G5,W8,D2,L2,V3,M2} R(393,1) { ! coll( X, Y, Z ), coll( Z
% 4.13/4.50 , X, X ) }.
% 4.13/4.50 parent1[1]: (0) {G0,W8,D2,L2,V3,M2} I { ! coll( X, Y, Z ), coll( X, Z, Y )
% 4.13/4.50 }.
% 4.13/4.50 substitution0:
% 4.13/4.50 X := X
% 4.13/4.50 Y := Y
% 4.13/4.50 Z := Z
% 4.13/4.50 end
% 4.13/4.50 substitution1:
% 4.13/4.50 X := X
% 4.13/4.50 Y := Z
% 4.13/4.50 Z := Y
% 4.13/4.50 end
% 4.13/4.50
% 4.13/4.50 subsumption: (703) {G6,W8,D2,L2,V3,M2} R(697,0) { coll( X, Y, Y ), ! coll(
% 4.13/4.50 Y, X, Z ) }.
% 4.13/4.50 parent0: (24808) {G1,W8,D2,L2,V3,M2} { coll( Z, X, X ), ! coll( X, Z, Y )
% 4.13/4.50 }.
% 4.13/4.50 substitution0:
% 4.13/4.50 X := Y
% 4.13/4.50 Y := Z
% 4.13/4.50 Z := X
% 4.13/4.50 end
% 4.13/4.50 permutation0:
% 4.13/4.50 0 ==> 0
% 4.13/4.50 1 ==> 1
% 4.13/4.50 end
% 4.13/4.50
% 4.13/4.50 resolution: (24809) {G7,W8,D2,L2,V3,M2} { coll( X, Y, Y ), ! coll( X, Y, Z
% 4.13/4.50 ) }.
% 4.13/4.50 parent0[1]: (703) {G6,W8,D2,L2,V3,M2} R(697,0) { coll( X, Y, Y ), ! coll( Y
% 4.13/4.50 , X, Z ) }.
% 4.13/4.50 parent1[0]: (703) {G6,W8,D2,L2,V3,M2} R(697,0) { coll( X, Y, Y ), ! coll( Y
% 4.13/4.50 , X, Z ) }.
% 4.13/4.50 substitution0:
% 4.13/4.50 X := X
% 4.13/4.50 Y := Y
% 4.13/4.50 Z := X
% 4.13/4.50 end
% 4.13/4.50 substitution1:
% 4.13/4.50 X := Y
% 4.13/4.50 Y := X
% 4.13/4.50 Z := Z
% 4.13/4.50 end
% 4.13/4.50
% 4.13/4.50 subsumption: (723) {G7,W8,D2,L2,V3,M2} R(703,703) { ! coll( X, Y, Z ), coll
% 4.13/4.50 ( X, Y, Y ) }.
% 4.13/4.50 parent0: (24809) {G7,W8,D2,L2,V3,M2} { coll( X, Y, Y ), ! coll( X, Y, Z )
% 4.13/4.50 }.
% 4.13/4.50 substitution0:
% 4.13/4.50 X := X
% 4.13/4.50 Y := Y
% 4.13/4.50 Z := Z
% 4.13/4.50 end
% 4.13/4.50 permutation0:
% 4.13/4.50 0 ==> 1
% 4.13/4.50 1 ==> 0
% 4.13/4.50 end
% 4.13/4.50
% 4.13/4.50 resolution: (24813) {G1,W12,D2,L3,V4,M3} { ! coll( X, Y, Z ), coll( Z, Y,
% 4.13/4.50 X ), ! coll( X, Y, T ) }.
% 4.13/4.50 parent0[1]: (2) {G0,W12,D2,L3,V4,M3} I { ! coll( X, T, Y ), ! coll( X, T, Z
% 4.13/4.50 ), coll( Y, Z, X ) }.
% 4.13/4.50 parent1[1]: (723) {G7,W8,D2,L2,V3,M2} R(703,703) { ! coll( X, Y, Z ), coll
% 4.13/4.50 ( X, Y, Y ) }.
% 4.13/4.50 substitution0:
% 4.13/4.50 X := X
% 4.13/4.50 Y := Z
% 4.13/4.50 Z := Y
% 4.13/4.50 T := Y
% 4.13/4.50 end
% 4.13/4.50 substitution1:
% 4.13/4.50 X := X
% 4.13/4.50 Y := Y
% 4.13/4.50 Z := T
% 4.13/4.50 end
% 4.13/4.50
% 4.13/4.50 subsumption: (726) {G8,W12,D2,L3,V4,M3} R(723,2) { ! coll( X, Y, Z ), !
% 4.13/4.50 coll( X, Y, T ), coll( T, Y, X ) }.
% 4.13/4.50 parent0: (24813) {G1,W12,D2,L3,V4,M3} { ! coll( X, Y, Z ), coll( Z, Y, X )
% 4.13/4.50 , ! coll( X, Y, T ) }.
% 4.13/4.50 substitution0:
% 4.13/4.50 X := X
% 4.13/4.50 Y := Y
% 4.13/4.50 Z := T
% 4.13/4.50 T := Z
% 4.13/4.50 end
% 4.13/4.50 permutation0:
% 4.13/4.50 0 ==> 1
% 4.13/4.50 1 ==> 2
% 4.13/4.50 2 ==> 0
% 4.13/4.50 end
% 4.13/4.50
% 4.13/4.50 factor: (24816) {G8,W8,D2,L2,V3,M2} { ! coll( X, Y, Z ), coll( Z, Y, X )
% 4.13/4.50 }.
% 4.13/4.50 parent0[0, 1]: (726) {G8,W12,D2,L3,V4,M3} R(723,2) { ! coll( X, Y, Z ), !
% 4.13/4.50 coll( X, Y, T ), coll( T, Y, X ) }.
% 4.13/4.50 substitution0:
% 4.13/4.50 X := X
% 4.13/4.50 Y := Y
% 4.13/4.50 Z := Z
% 4.13/4.50 T := Z
% 4.13/4.50 end
% 4.13/4.50
% 4.13/4.50 subsumption: (727) {G9,W8,D2,L2,V3,M2} F(726) { ! coll( X, Y, Z ), coll( Z
% 4.13/4.50 , Y, X ) }.
% 4.13/4.50 parent0: (24816) {G8,W8,D2,L2,V3,M2} { ! coll( X, Y, Z ), coll( Z, Y, X )
% 4.13/4.50 }.
% 4.13/4.50 substitution0:
% 4.13/4.50 X := X
% 4.13/4.50 Y := Y
% 4.13/4.50 Z := Z
% 4.13/4.50 end
% 4.13/4.50 permutation0:
% 4.13/4.50 0 ==> 0
% 4.13/4.50 1 ==> 1
% 4.13/4.50 end
% 4.13/4.50
% 4.13/4.50 resolution: (24817) {G7,W8,D2,L2,V3,M2} { coll( Y, Y, X ), ! coll( Z, Y, X
% 4.13/4.50 ) }.
% 4.13/4.50 parent0[0]: (727) {G9,W8,D2,L2,V3,M2} F(726) { ! coll( X, Y, Z ), coll( Z,
% 4.13/4.50 Y, X ) }.
% 4.13/4.50 parent1[0]: (702) {G6,W8,D2,L2,V3,M2} R(697,1) { coll( X, Y, Y ), ! coll( Z
% 4.13/4.50 , Y, X ) }.
% 4.13/4.50 substitution0:
% 4.13/4.50 X := X
% 4.13/4.50 Y := Y
% 4.13/4.50 Z := Y
% 4.13/4.50 end
% 4.13/4.50 substitution1:
% 4.13/4.50 X := X
% 4.13/4.50 Y := Y
% 4.13/4.50 Z := Z
% 4.13/4.50 end
% 4.13/4.50
% 4.13/4.50 subsumption: (731) {G10,W8,D2,L2,V3,M2} R(727,702) { coll( X, X, Y ), !
% 4.13/4.50 coll( Z, X, Y ) }.
% 4.13/4.50 parent0: (24817) {G7,W8,D2,L2,V3,M2} { coll( Y, Y, X ), ! coll( Z, Y, X )
% 4.13/4.50 }.
% 4.13/4.50 substitution0:
% 4.13/4.50 X := Y
% 4.13/4.50 Y := X
% 4.13/4.50 Z := Z
% 4.13/4.50 end
% 4.13/4.50 permutation0:
% 4.13/4.50 0 ==> 0
% 4.13/4.50 1 ==> 1
% 4.13/4.50 end
% 4.13/4.50
% 4.13/4.50 resolution: (24818) {G1,W23,D2,L3,V10,M3} { ! eqangle( U, W, Z, T, V0, V1
% 4.13/4.50 , V2, V3 ), eqangle( X, Y, Z, T, V0, V1, V2, V3 ), ! para( X, Y, U, W )
% 4.13/4.50 }.
% 4.13/4.50 parent0[0]: (21) {G0,W27,D2,L3,V12,M3} I { ! eqangle( X, Y, Z, T, V2, V3,
% 4.13/4.50 V4, V5 ), ! eqangle( V2, V3, V4, V5, U, W, V0, V1 ), eqangle( X, Y, Z, T
% 4.13/4.50 , U, W, V0, V1 ) }.
% 4.13/4.50 parent1[1]: (39) {G0,W14,D2,L2,V6,M2} I { ! para( X, Y, Z, T ), eqangle( X
% 4.13/4.50 , Y, U, W, Z, T, U, W ) }.
% 4.13/4.50 substitution0:
% 4.13/4.50 X := X
% 4.13/4.50 Y := Y
% 4.13/4.50 Z := Z
% 4.13/4.50 T := T
% 4.13/4.50 U := V0
% 4.13/4.50 W := V1
% 4.13/4.50 V0 := V2
% 4.13/4.50 V1 := V3
% 4.13/4.50 V2 := U
% 4.13/4.50 V3 := W
% 4.13/4.50 V4 := Z
% 4.13/4.50 V5 := T
% 4.13/4.50 end
% 4.13/4.50 substitution1:
% 4.13/4.50 X := X
% 4.13/4.50 Y := Y
% 4.13/4.50 Z := U
% 4.13/4.50 T := W
% 4.13/4.50 U := Z
% 4.13/4.50 W := T
% 4.13/4.50 end
% 4.13/4.50
% 4.13/4.50 subsumption: (754) {G1,W23,D2,L3,V10,M3} R(39,21) { ! para( X, Y, Z, T ), !
% 4.13/4.50 eqangle( Z, T, U, W, V0, V1, V2, V3 ), eqangle( X, Y, U, W, V0, V1, V2,
% 4.13/4.50 V3 ) }.
% 4.13/4.50 parent0: (24818) {G1,W23,D2,L3,V10,M3} { ! eqangle( U, W, Z, T, V0, V1, V2
% 4.13/4.50 , V3 ), eqangle( X, Y, Z, T, V0, V1, V2, V3 ), ! para( X, Y, U, W ) }.
% 4.13/4.50 substitution0:
% 4.13/4.50 X := X
% 4.13/4.50 Y := Y
% 4.13/4.50 Z := U
% 4.13/4.50 T := W
% 4.13/4.50 U := Z
% 4.13/4.50 W := T
% 4.13/4.50 V0 := V0
% 4.13/4.50 V1 := V1
% 4.13/4.50 V2 := V2
% 4.13/4.50 V3 := V3
% 4.13/4.50 end
% 4.13/4.50 permutation0:
% 4.13/4.50 0 ==> 1
% 4.13/4.50 1 ==> 2
% 4.13/4.50 2 ==> 0
% 4.13/4.50 end
% 4.13/4.50
% 4.13/4.50 resolution: (24820) {G1,W14,D2,L2,V6,M2} { eqangle( X, Y, U, W, Z, T, U, W
% 4.13/4.50 ), ! para( X, Y, T, Z ) }.
% 4.13/4.50 parent0[0]: (39) {G0,W14,D2,L2,V6,M2} I { ! para( X, Y, Z, T ), eqangle( X
% 4.13/4.50 , Y, U, W, Z, T, U, W ) }.
% 4.13/4.50 parent1[1]: (3) {G0,W10,D2,L2,V4,M2} I { ! para( X, Y, Z, T ), para( X, Y,
% 4.13/4.50 T, Z ) }.
% 4.13/4.50 substitution0:
% 4.13/4.50 X := X
% 4.13/4.50 Y := Y
% 4.13/4.50 Z := Z
% 4.13/4.50 T := T
% 4.13/4.50 U := U
% 4.13/4.50 W := W
% 4.13/4.50 end
% 4.13/4.50 substitution1:
% 4.13/4.50 X := X
% 4.13/4.50 Y := Y
% 4.13/4.50 Z := T
% 4.13/4.50 T := Z
% 4.13/4.50 end
% 4.13/4.50
% 4.13/4.50 subsumption: (762) {G1,W14,D2,L2,V6,M2} R(39,3) { eqangle( X, Y, Z, T, U, W
% 4.13/4.50 , Z, T ), ! para( X, Y, W, U ) }.
% 4.13/4.50 parent0: (24820) {G1,W14,D2,L2,V6,M2} { eqangle( X, Y, U, W, Z, T, U, W )
% 4.13/4.50 , ! para( X, Y, T, Z ) }.
% 4.13/4.50 substitution0:
% 4.13/4.50 X := X
% 4.13/4.50 Y := Y
% 4.13/4.50 Z := U
% 4.13/4.50 T := W
% 4.13/4.50 U := Z
% 4.13/4.50 W := T
% 4.13/4.50 end
% 4.13/4.50 permutation0:
% 4.13/4.50 0 ==> 0
% 4.13/4.50 1 ==> 1
% 4.13/4.50 end
% 4.13/4.50
% 4.13/4.50 resolution: (24821) {G1,W8,D2,L2,V3,M2} { coll( X, Y, Z ), ! midp( Y, Z, X
% 4.13/4.50 ) }.
% 4.13/4.50 parent0[1]: (176) {G1,W8,D2,L2,V3,M2} R(1,0) { coll( X, Y, Z ), ! coll( Y,
% 4.13/4.50 Z, X ) }.
% 4.13/4.50 parent1[1]: (69) {G0,W8,D2,L2,V3,M2} I { ! midp( X, Y, Z ), coll( X, Y, Z )
% 4.13/4.50 }.
% 4.13/4.50 substitution0:
% 4.13/4.50 X := X
% 4.13/4.50 Y := Y
% 4.13/4.50 Z := Z
% 4.13/4.50 end
% 4.13/4.50 substitution1:
% 4.13/4.50 X := Y
% 4.13/4.50 Y := Z
% 4.13/4.50 Z := X
% 4.13/4.50 end
% 4.13/4.50
% 4.13/4.50 subsumption: (783) {G2,W8,D2,L2,V3,M2} R(69,176) { ! midp( X, Y, Z ), coll
% 4.13/4.50 ( Z, X, Y ) }.
% 4.13/4.50 parent0: (24821) {G1,W8,D2,L2,V3,M2} { coll( X, Y, Z ), ! midp( Y, Z, X )
% 4.13/4.50 }.
% 4.13/4.50 substitution0:
% 4.13/4.50 X := Z
% 4.13/4.50 Y := X
% 4.13/4.50 Z := Y
% 4.13/4.50 end
% 4.13/4.50 permutation0:
% 4.13/4.50 0 ==> 1
% 4.13/4.50 1 ==> 0
% 4.13/4.50 end
% 4.13/4.50
% 4.13/4.50 resolution: (24822) {G1,W8,D2,L2,V3,M2} { coll( X, X, Y ), ! midp( Z, X, Y
% 4.13/4.50 ) }.
% 4.13/4.50 parent0[1]: (731) {G10,W8,D2,L2,V3,M2} R(727,702) { coll( X, X, Y ), ! coll
% 4.13/4.50 ( Z, X, Y ) }.
% 4.13/4.50 parent1[1]: (69) {G0,W8,D2,L2,V3,M2} I { ! midp( X, Y, Z ), coll( X, Y, Z )
% 4.13/4.50 }.
% 4.13/4.50 substitution0:
% 4.13/4.50 X := X
% 4.13/4.50 Y := Y
% 4.13/4.50 Z := Z
% 4.13/4.50 end
% 4.13/4.50 substitution1:
% 4.13/4.50 X := Z
% 4.13/4.50 Y := X
% 4.13/4.50 Z := Y
% 4.13/4.50 end
% 4.13/4.50
% 4.13/4.50 subsumption: (790) {G11,W8,D2,L2,V3,M2} R(69,731) { ! midp( X, Y, Z ), coll
% 4.13/4.50 ( Y, Y, Z ) }.
% 4.13/4.50 parent0: (24822) {G1,W8,D2,L2,V3,M2} { coll( X, X, Y ), ! midp( Z, X, Y )
% 4.13/4.50 }.
% 4.13/4.50 substitution0:
% 4.13/4.50 X := Y
% 4.13/4.50 Y := Z
% 4.13/4.50 Z := X
% 4.13/4.50 end
% 4.13/4.50 permutation0:
% 4.13/4.50 0 ==> 1
% 4.13/4.50 1 ==> 0
% 4.13/4.50 end
% 4.13/4.50
% 4.13/4.50 resolution: (24823) {G1,W4,D2,L1,V0,M1} { coll( skol32, skol30, skol20 )
% 4.13/4.50 }.
% 4.13/4.50 parent0[0]: (69) {G0,W8,D2,L2,V3,M2} I { ! midp( X, Y, Z ), coll( X, Y, Z )
% 4.13/4.50 }.
% 4.13/4.50 parent1[0]: (122) {G0,W4,D2,L1,V0,M1} I { midp( skol32, skol30, skol20 )
% 4.13/4.50 }.
% 4.13/4.50 substitution0:
% 4.13/4.50 X := skol32
% 4.13/4.50 Y := skol30
% 4.13/4.50 Z := skol20
% 4.13/4.50 end
% 4.13/4.50 substitution1:
% 4.13/4.50 end
% 4.13/4.50
% 4.13/4.50 subsumption: (810) {G1,W4,D2,L1,V0,M1} R(69,122) { coll( skol32, skol30,
% 4.13/4.50 skol20 ) }.
% 4.13/4.50 parent0: (24823) {G1,W4,D2,L1,V0,M1} { coll( skol32, skol30, skol20 ) }.
% 4.13/4.50 substitution0:
% 4.13/4.50 end
% 4.13/4.50 permutation0:
% 4.13/4.50 0 ==> 0
% 4.13/4.50 end
% 4.13/4.50
% 4.13/4.50 resolution: (24824) {G1,W14,D2,L3,V3,M3} { ! coll( X, X, Z ), cyclic( Y, Z
% 4.13/4.50 , X, X ), ! para( X, Y, X, Y ) }.
% 4.13/4.50 parent0[0]: (42) {G0,W18,D2,L3,V4,M3} I { ! eqangle( Z, X, Z, Y, T, X, T, Y
% 4.13/4.50 ), ! coll( Z, T, Y ), cyclic( X, Y, Z, T ) }.
% 4.13/4.50 parent1[1]: (39) {G0,W14,D2,L2,V6,M2} I { ! para( X, Y, Z, T ), eqangle( X
% 4.13/4.50 , Y, U, W, Z, T, U, W ) }.
% 4.13/4.50 substitution0:
% 4.13/4.50 X := Y
% 4.13/4.50 Y := Z
% 4.13/4.50 Z := X
% 4.13/4.50 T := X
% 4.13/4.50 end
% 4.13/4.50 substitution1:
% 4.13/4.50 X := X
% 4.13/4.50 Y := Y
% 4.13/4.50 Z := X
% 4.13/4.50 T := Y
% 4.13/4.50 U := X
% 4.13/4.50 W := Z
% 4.13/4.50 end
% 4.13/4.50
% 4.13/4.50 subsumption: (857) {G1,W14,D2,L3,V3,M3} R(42,39) { ! coll( X, X, Y ),
% 4.13/4.50 cyclic( Z, Y, X, X ), ! para( X, Z, X, Z ) }.
% 4.13/4.50 parent0: (24824) {G1,W14,D2,L3,V3,M3} { ! coll( X, X, Z ), cyclic( Y, Z, X
% 4.13/4.50 , X ), ! para( X, Y, X, Y ) }.
% 4.13/4.50 substitution0:
% 4.13/4.50 X := X
% 4.13/4.50 Y := Z
% 4.13/4.50 Z := Y
% 4.13/4.50 end
% 4.13/4.50 permutation0:
% 4.13/4.50 0 ==> 0
% 4.13/4.50 1 ==> 1
% 4.13/4.50 2 ==> 2
% 4.13/4.50 end
% 4.13/4.50
% 4.13/4.50 resolution: (24825) {G1,W25,D2,L5,V4,M5} { ! cyclic( X, Y, Z, X ), !
% 4.13/4.50 cyclic( X, Y, Z, Y ), ! cyclic( X, Y, Z, T ), cong( X, Y, X, Y ), !
% 4.13/4.50 cyclic( X, Y, Z, T ) }.
% 4.13/4.50 parent0[3]: (43) {G0,W29,D2,L5,V6,M5} I { ! cyclic( X, Y, U, Z ), ! cyclic
% 4.13/4.50 ( X, Y, U, T ), ! cyclic( X, Y, U, W ), ! eqangle( U, X, U, Y, W, Z, W, T
% 4.13/4.50 ), cong( X, Y, Z, T ) }.
% 4.13/4.50 parent1[1]: (40) {G0,W14,D2,L2,V4,M2} I { ! cyclic( X, Y, Z, T ), eqangle(
% 4.13/4.50 Z, X, Z, Y, T, X, T, Y ) }.
% 4.13/4.50 substitution0:
% 4.13/4.50 X := X
% 4.13/4.50 Y := Y
% 4.13/4.50 Z := X
% 4.13/4.50 T := Y
% 4.13/4.50 U := Z
% 4.13/4.50 W := T
% 4.13/4.50 end
% 4.13/4.50 substitution1:
% 4.13/4.50 X := X
% 4.13/4.50 Y := Y
% 4.13/4.50 Z := Z
% 4.13/4.50 T := T
% 4.13/4.50 end
% 4.13/4.50
% 4.13/4.50 factor: (24827) {G1,W20,D2,L4,V3,M4} { ! cyclic( X, Y, Z, X ), ! cyclic( X
% 4.13/4.50 , Y, Z, Y ), cong( X, Y, X, Y ), ! cyclic( X, Y, Z, X ) }.
% 4.13/4.50 parent0[0, 2]: (24825) {G1,W25,D2,L5,V4,M5} { ! cyclic( X, Y, Z, X ), !
% 4.13/4.50 cyclic( X, Y, Z, Y ), ! cyclic( X, Y, Z, T ), cong( X, Y, X, Y ), !
% 4.13/4.50 cyclic( X, Y, Z, T ) }.
% 4.13/4.50 substitution0:
% 4.13/4.50 X := X
% 4.13/4.50 Y := Y
% 4.13/4.50 Z := Z
% 4.13/4.50 T := X
% 4.13/4.50 end
% 4.13/4.50
% 4.13/4.50 subsumption: (1006) {G1,W20,D2,L4,V4,M4} R(43,40);f { ! cyclic( X, Y, Z, X
% 4.13/4.50 ), ! cyclic( X, Y, Z, Y ), ! cyclic( X, Y, Z, T ), cong( X, Y, X, Y )
% 4.13/4.50 }.
% 4.13/4.50 parent0: (24827) {G1,W20,D2,L4,V3,M4} { ! cyclic( X, Y, Z, X ), ! cyclic(
% 4.13/4.50 X, Y, Z, Y ), cong( X, Y, X, Y ), ! cyclic( X, Y, Z, X ) }.
% 4.13/4.50 substitution0:
% 4.13/4.50 X := X
% 4.13/4.50 Y := Y
% 4.13/4.50 Z := Z
% 4.13/4.50 end
% 4.13/4.50 permutation0:
% 4.13/4.50 0 ==> 0
% 4.13/4.50 1 ==> 1
% 4.13/4.50 2 ==> 3
% 4.13/4.50 3 ==> 0
% 4.13/4.50 end
% 4.13/4.50
% 4.13/4.50 factor: (24832) {G1,W15,D2,L3,V3,M3} { ! cyclic( X, Y, Z, X ), ! cyclic( X
% 4.13/4.50 , Y, Z, Y ), cong( X, Y, X, Y ) }.
% 4.13/4.50 parent0[0, 2]: (1006) {G1,W20,D2,L4,V4,M4} R(43,40);f { ! cyclic( X, Y, Z,
% 4.13/4.50 X ), ! cyclic( X, Y, Z, Y ), ! cyclic( X, Y, Z, T ), cong( X, Y, X, Y )
% 4.13/4.50 }.
% 4.13/4.50 substitution0:
% 4.13/4.50 X := X
% 4.13/4.50 Y := Y
% 4.13/4.50 Z := Z
% 4.13/4.50 T := X
% 4.13/4.50 end
% 4.13/4.50
% 4.13/4.50 subsumption: (1038) {G2,W15,D2,L3,V3,M3} F(1006) { ! cyclic( X, Y, Z, X ),
% 4.13/4.50 ! cyclic( X, Y, Z, Y ), cong( X, Y, X, Y ) }.
% 4.13/4.50 parent0: (24832) {G1,W15,D2,L3,V3,M3} { ! cyclic( X, Y, Z, X ), ! cyclic(
% 4.13/4.50 X, Y, Z, Y ), cong( X, Y, X, Y ) }.
% 4.13/4.50 substitution0:
% 4.13/4.50 X := X
% 4.13/4.50 Y := Y
% 4.13/4.50 Z := Z
% 4.13/4.50 end
% 4.13/4.50 permutation0:
% 4.13/4.50 0 ==> 0
% 4.13/4.50 1 ==> 1
% 4.13/4.50 2 ==> 2
% 4.13/4.50 end
% 4.13/4.50
% 4.13/4.50 resolution: (24834) {G1,W8,D2,L2,V1,M2} { ! coll( skol32, skol30, X ),
% 4.13/4.50 coll( skol20, X, skol32 ) }.
% 4.13/4.50 parent0[0]: (2) {G0,W12,D2,L3,V4,M3} I { ! coll( X, T, Y ), ! coll( X, T, Z
% 4.13/4.50 ), coll( Y, Z, X ) }.
% 4.13/4.50 parent1[0]: (810) {G1,W4,D2,L1,V0,M1} R(69,122) { coll( skol32, skol30,
% 4.13/4.50 skol20 ) }.
% 4.13/4.50 substitution0:
% 4.13/4.50 X := skol32
% 4.13/4.50 Y := skol20
% 4.13/4.50 Z := X
% 4.13/4.50 T := skol30
% 4.13/4.50 end
% 4.13/4.50 substitution1:
% 4.13/4.50 end
% 4.13/4.50
% 4.13/4.50 subsumption: (1232) {G2,W8,D2,L2,V1,M2} R(810,2) { ! coll( skol32, skol30,
% 4.13/4.50 X ), coll( skol20, X, skol32 ) }.
% 4.13/4.50 parent0: (24834) {G1,W8,D2,L2,V1,M2} { ! coll( skol32, skol30, X ), coll(
% 4.13/4.50 skol20, X, skol32 ) }.
% 4.13/4.50 substitution0:
% 4.13/4.50 X := X
% 4.13/4.50 end
% 4.13/4.50 permutation0:
% 4.13/4.50 0 ==> 0
% 4.13/4.50 1 ==> 1
% 4.13/4.50 end
% 4.13/4.50
% 4.13/4.50 resolution: (24836) {G2,W8,D2,L2,V1,M2} { coll( skol20, X, skol32 ), !
% 4.13/4.50 coll( X, skol32, skol30 ) }.
% 4.13/4.50 parent0[0]: (1232) {G2,W8,D2,L2,V1,M2} R(810,2) { ! coll( skol32, skol30, X
% 4.13/4.50 ), coll( skol20, X, skol32 ) }.
% 4.13/4.50 parent1[1]: (177) {G1,W8,D2,L2,V3,M2} R(1,0) { ! coll( X, Y, Z ), coll( Y,
% 4.13/4.50 Z, X ) }.
% 4.13/4.50 substitution0:
% 4.13/4.50 X := X
% 4.13/4.50 end
% 4.13/4.50 substitution1:
% 4.13/4.50 X := X
% 4.13/4.50 Y := skol32
% 4.13/4.50 Z := skol30
% 4.13/4.50 end
% 4.13/4.50
% 4.13/4.50 subsumption: (1412) {G3,W8,D2,L2,V1,M2} R(1232,177) { coll( skol20, X,
% 4.13/4.50 skol32 ), ! coll( X, skol32, skol30 ) }.
% 4.13/4.50 parent0: (24836) {G2,W8,D2,L2,V1,M2} { coll( skol20, X, skol32 ), ! coll(
% 4.13/4.50 X, skol32, skol30 ) }.
% 4.13/4.50 substitution0:
% 4.13/4.50 X := X
% 4.13/4.50 end
% 4.13/4.50 permutation0:
% 4.13/4.50 0 ==> 0
% 4.13/4.50 1 ==> 1
% 4.13/4.50 end
% 4.13/4.50
% 4.13/4.50 resolution: (24838) {G2,W8,D2,L2,V1,M2} { coll( X, skol32, skol20 ), !
% 4.13/4.50 coll( X, skol32, skol30 ) }.
% 4.13/4.50 parent0[0]: (177) {G1,W8,D2,L2,V3,M2} R(1,0) { ! coll( X, Y, Z ), coll( Y,
% 4.13/4.50 Z, X ) }.
% 4.13/4.50 parent1[0]: (1412) {G3,W8,D2,L2,V1,M2} R(1232,177) { coll( skol20, X,
% 4.13/4.50 skol32 ), ! coll( X, skol32, skol30 ) }.
% 4.13/4.50 substitution0:
% 4.13/4.50 X := skol20
% 4.13/4.50 Y := X
% 4.13/4.50 Z := skol32
% 4.13/4.50 end
% 4.13/4.50 substitution1:
% 4.13/4.50 X := X
% 4.13/4.50 end
% 4.13/4.50
% 4.13/4.50 subsumption: (2783) {G4,W8,D2,L2,V1,M2} R(1412,177) { ! coll( X, skol32,
% 4.13/4.50 skol30 ), coll( X, skol32, skol20 ) }.
% 4.13/4.50 parent0: (24838) {G2,W8,D2,L2,V1,M2} { coll( X, skol32, skol20 ), ! coll(
% 4.13/4.50 X, skol32, skol30 ) }.
% 4.13/4.50 substitution0:
% 4.13/4.50 X := X
% 4.13/4.50 end
% 4.13/4.50 permutation0:
% 4.13/4.50 0 ==> 1
% 4.13/4.50 1 ==> 0
% 4.13/4.50 end
% 4.13/4.50
% 4.13/4.50 resolution: (24841) {G1,W12,D2,L3,V2,M3} { ! coll( X, skol32, Y ), coll(
% 4.13/4.50 skol20, Y, X ), ! coll( X, skol32, skol30 ) }.
% 4.13/4.50 parent0[0]: (2) {G0,W12,D2,L3,V4,M3} I { ! coll( X, T, Y ), ! coll( X, T, Z
% 4.13/4.50 ), coll( Y, Z, X ) }.
% 4.13/4.50 parent1[1]: (2783) {G4,W8,D2,L2,V1,M2} R(1412,177) { ! coll( X, skol32,
% 4.13/4.50 skol30 ), coll( X, skol32, skol20 ) }.
% 4.13/4.50 substitution0:
% 4.13/4.50 X := X
% 4.13/4.50 Y := skol20
% 4.13/4.50 Z := Y
% 4.13/4.50 T := skol32
% 4.13/4.50 end
% 4.13/4.50 substitution1:
% 4.13/4.50 X := X
% 4.13/4.50 end
% 4.13/4.50
% 4.13/4.50 subsumption: (2844) {G5,W12,D2,L3,V2,M3} R(2783,2) { ! coll( X, skol32,
% 4.13/4.50 skol30 ), ! coll( X, skol32, Y ), coll( skol20, Y, X ) }.
% 4.13/4.50 parent0: (24841) {G1,W12,D2,L3,V2,M3} { ! coll( X, skol32, Y ), coll(
% 4.13/4.50 skol20, Y, X ), ! coll( X, skol32, skol30 ) }.
% 4.13/4.50 substitution0:
% 4.13/4.50 X := X
% 4.13/4.50 Y := Y
% 4.13/4.50 end
% 4.13/4.50 permutation0:
% 4.13/4.50 0 ==> 1
% 4.13/4.50 1 ==> 2
% 4.13/4.50 2 ==> 0
% 4.13/4.50 end
% 4.13/4.50
% 4.13/4.50 factor: (24845) {G5,W8,D2,L2,V1,M2} { ! coll( X, skol32, skol30 ), coll(
% 4.13/4.50 skol20, skol30, X ) }.
% 4.13/4.50 parent0[0, 1]: (2844) {G5,W12,D2,L3,V2,M3} R(2783,2) { ! coll( X, skol32,
% 4.13/4.50 skol30 ), ! coll( X, skol32, Y ), coll( skol20, Y, X ) }.
% 4.13/4.50 substitution0:
% 4.13/4.50 X := X
% 4.13/4.50 Y := skol30
% 4.13/4.50 end
% 4.13/4.50
% 4.13/4.50 subsumption: (2849) {G6,W8,D2,L2,V1,M2} F(2844) { ! coll( X, skol32, skol30
% 4.13/4.50 ), coll( skol20, skol30, X ) }.
% 4.13/4.50 parent0: (24845) {G5,W8,D2,L2,V1,M2} { ! coll( X, skol32, skol30 ), coll(
% 4.13/4.50 skol20, skol30, X ) }.
% 4.13/4.50 substitution0:
% 4.13/4.50 X := X
% 4.13/4.50 end
% 4.13/4.50 permutation0:
% 4.13/4.50 0 ==> 0
% 4.13/4.50 1 ==> 1
% 4.13/4.50 end
% 4.13/4.50
% 4.13/4.50 resolution: (24846) {G3,W8,D2,L2,V1,M2} { coll( skol20, skol30, X ), !
% 4.13/4.50 midp( skol32, skol30, X ) }.
% 4.13/4.50 parent0[0]: (2849) {G6,W8,D2,L2,V1,M2} F(2844) { ! coll( X, skol32, skol30
% 4.13/4.50 ), coll( skol20, skol30, X ) }.
% 4.13/4.50 parent1[1]: (783) {G2,W8,D2,L2,V3,M2} R(69,176) { ! midp( X, Y, Z ), coll(
% 4.13/4.50 Z, X, Y ) }.
% 4.13/4.50 substitution0:
% 4.13/4.50 X := X
% 4.13/4.50 end
% 4.13/4.50 substitution1:
% 4.13/4.50 X := skol32
% 4.13/4.50 Y := skol30
% 4.13/4.50 Z := X
% 4.13/4.50 end
% 4.13/4.50
% 4.13/4.50 subsumption: (3475) {G7,W8,D2,L2,V1,M2} R(2849,783) { coll( skol20, skol30
% 4.13/4.50 , X ), ! midp( skol32, skol30, X ) }.
% 4.13/4.50 parent0: (24846) {G3,W8,D2,L2,V1,M2} { coll( skol20, skol30, X ), ! midp(
% 4.13/4.50 skol32, skol30, X ) }.
% 4.13/4.50 substitution0:
% 4.13/4.50 X := X
% 4.13/4.50 end
% 4.13/4.50 permutation0:
% 4.13/4.50 0 ==> 0
% 4.13/4.50 1 ==> 1
% 4.13/4.50 end
% 4.13/4.50
% 4.13/4.50 resolution: (24847) {G1,W7,D3,L1,V0,M1} { perp( skol12( skol25, skol27 ),
% 4.13/4.50 skol25, skol25, skol27 ) }.
% 4.13/4.50 parent0[0]: (100) {G0,W12,D3,L2,V4,M2} I { ! circle( Y, X, Z, T ), perp(
% 4.13/4.50 skol12( X, Y ), X, X, Y ) }.
% 4.13/4.50 parent1[0]: (119) {G0,W5,D2,L1,V0,M1} I { circle( skol27, skol25, skol28,
% 4.13/4.50 skol29 ) }.
% 4.13/4.50 substitution0:
% 4.13/4.50 X := skol25
% 4.13/4.50 Y := skol27
% 4.13/4.50 Z := skol28
% 4.13/4.50 T := skol29
% 4.13/4.50 end
% 4.13/4.50 substitution1:
% 4.13/4.50 end
% 4.13/4.50
% 4.13/4.50 subsumption: (4898) {G1,W7,D3,L1,V0,M1} R(100,119) { perp( skol12( skol25,
% 4.13/4.50 skol27 ), skol25, skol25, skol27 ) }.
% 4.13/4.50 parent0: (24847) {G1,W7,D3,L1,V0,M1} { perp( skol12( skol25, skol27 ),
% 4.13/4.50 skol25, skol25, skol27 ) }.
% 4.13/4.50 substitution0:
% 4.13/4.50 end
% 4.13/4.50 permutation0:
% 4.13/4.50 0 ==> 0
% 4.13/4.50 end
% 4.13/4.50
% 4.13/4.50 resolution: (24848) {G2,W18,D3,L4,V2,M4} { ! midp( X, skol30, skol20 ), !
% 4.13/4.50 coll( skol30, skol30, skol20 ), midp( skol7( skol30, Y ), skol30, Y ), !
% 4.13/4.50 midp( skol32, skol30, skol20 ) }.
% 4.13/4.50 parent0[2]: (153) {G1,W18,D3,L4,V4,M4} F(88) { ! midp( X, Y, Z ), ! coll( Y
% 4.13/4.50 , Y, Z ), ! coll( Z, Y, Z ), midp( skol7( Y, T ), Y, T ) }.
% 4.13/4.50 parent1[0]: (3475) {G7,W8,D2,L2,V1,M2} R(2849,783) { coll( skol20, skol30,
% 4.13/4.50 X ), ! midp( skol32, skol30, X ) }.
% 4.13/4.50 substitution0:
% 4.13/4.50 X := X
% 4.13/4.50 Y := skol30
% 4.13/4.50 Z := skol20
% 4.13/4.50 T := Y
% 4.13/4.50 end
% 4.13/4.50 substitution1:
% 4.13/4.50 X := skol20
% 4.13/4.50 end
% 4.13/4.50
% 4.13/4.50 resolution: (24851) {G3,W14,D3,L3,V2,M3} { ! midp( X, skol30, skol20 ),
% 4.13/4.50 midp( skol7( skol30, Y ), skol30, Y ), ! midp( skol32, skol30, skol20 )
% 4.13/4.50 }.
% 4.13/4.50 parent0[1]: (24848) {G2,W18,D3,L4,V2,M4} { ! midp( X, skol30, skol20 ), !
% 4.13/4.50 coll( skol30, skol30, skol20 ), midp( skol7( skol30, Y ), skol30, Y ), !
% 4.13/4.50 midp( skol32, skol30, skol20 ) }.
% 4.13/4.50 parent1[0]: (426) {G4,W4,D2,L1,V0,M1} R(363,0) { coll( skol30, skol30,
% 4.13/4.50 skol20 ) }.
% 4.13/4.50 substitution0:
% 4.13/4.50 X := X
% 4.13/4.50 Y := Y
% 4.13/4.50 end
% 4.13/4.50 substitution1:
% 4.13/4.50 end
% 4.13/4.50
% 4.13/4.50 subsumption: (8265) {G8,W14,D3,L3,V2,M3} R(153,3475);r(426) { ! midp( X,
% 4.13/4.50 skol30, skol20 ), midp( skol7( skol30, Y ), skol30, Y ), ! midp( skol32,
% 4.13/4.50 skol30, skol20 ) }.
% 4.13/4.50 parent0: (24851) {G3,W14,D3,L3,V2,M3} { ! midp( X, skol30, skol20 ), midp
% 4.13/4.50 ( skol7( skol30, Y ), skol30, Y ), ! midp( skol32, skol30, skol20 ) }.
% 4.13/4.50 substitution0:
% 4.13/4.50 X := X
% 4.13/4.50 Y := Y
% 4.13/4.50 end
% 4.13/4.50 permutation0:
% 4.13/4.50 0 ==> 0
% 4.13/4.50 1 ==> 1
% 4.13/4.50 2 ==> 2
% 4.13/4.50 end
% 4.13/4.50
% 4.13/4.50 factor: (24853) {G8,W10,D3,L2,V1,M2} { ! midp( skol32, skol30, skol20 ),
% 4.13/4.50 midp( skol7( skol30, X ), skol30, X ) }.
% 4.13/4.50 parent0[0, 2]: (8265) {G8,W14,D3,L3,V2,M3} R(153,3475);r(426) { ! midp( X,
% 4.13/4.50 skol30, skol20 ), midp( skol7( skol30, Y ), skol30, Y ), ! midp( skol32,
% 4.13/4.50 skol30, skol20 ) }.
% 4.13/4.50 substitution0:
% 4.13/4.50 X := skol32
% 4.13/4.50 Y := X
% 4.13/4.50 end
% 4.13/4.50
% 4.13/4.50 resolution: (24854) {G1,W6,D3,L1,V1,M1} { midp( skol7( skol30, X ), skol30
% 4.13/4.50 , X ) }.
% 4.13/4.50 parent0[0]: (24853) {G8,W10,D3,L2,V1,M2} { ! midp( skol32, skol30, skol20
% 4.13/4.50 ), midp( skol7( skol30, X ), skol30, X ) }.
% 4.13/4.50 parent1[0]: (122) {G0,W4,D2,L1,V0,M1} I { midp( skol32, skol30, skol20 )
% 4.13/4.50 }.
% 4.13/4.50 substitution0:
% 4.13/4.50 X := X
% 4.13/4.50 end
% 4.13/4.50 substitution1:
% 4.13/4.50 end
% 4.13/4.50
% 4.13/4.50 subsumption: (8386) {G9,W6,D3,L1,V1,M1} F(8265);r(122) { midp( skol7(
% 4.13/4.50 skol30, X ), skol30, X ) }.
% 4.13/4.50 parent0: (24854) {G1,W6,D3,L1,V1,M1} { midp( skol7( skol30, X ), skol30, X
% 4.13/4.50 ) }.
% 4.13/4.50 substitution0:
% 4.13/4.50 X := X
% 4.13/4.50 end
% 4.13/4.50 permutation0:
% 4.13/4.50 0 ==> 0
% 4.13/4.50 end
% 4.13/4.50
% 4.13/4.50 resolution: (24855) {G10,W4,D2,L1,V1,M1} { coll( skol30, skol30, X ) }.
% 4.13/4.50 parent0[0]: (790) {G11,W8,D2,L2,V3,M2} R(69,731) { ! midp( X, Y, Z ), coll
% 4.13/4.50 ( Y, Y, Z ) }.
% 4.13/4.50 parent1[0]: (8386) {G9,W6,D3,L1,V1,M1} F(8265);r(122) { midp( skol7( skol30
% 4.13/4.50 , X ), skol30, X ) }.
% 4.13/4.50 substitution0:
% 4.13/4.50 X := skol7( skol30, X )
% 4.13/4.50 Y := skol30
% 4.13/4.50 Z := X
% 4.13/4.50 end
% 4.13/4.50 substitution1:
% 4.13/4.50 X := X
% 4.13/4.50 end
% 4.13/4.50
% 4.13/4.50 subsumption: (8431) {G12,W4,D2,L1,V1,M1} R(8386,790) { coll( skol30, skol30
% 4.13/4.50 , X ) }.
% 4.13/4.50 parent0: (24855) {G10,W4,D2,L1,V1,M1} { coll( skol30, skol30, X ) }.
% 4.13/4.50 substitution0:
% 4.13/4.50 X := X
% 4.13/4.50 end
% 4.13/4.50 permutation0:
% 4.13/4.50 0 ==> 0
% 4.13/4.50 end
% 4.13/4.50
% 4.13/4.50 resolution: (24856) {G1,W8,D2,L2,V2,M2} { ! coll( skol30, skol30, Y ),
% 4.13/4.50 coll( X, Y, skol30 ) }.
% 4.13/4.50 parent0[0]: (2) {G0,W12,D2,L3,V4,M3} I { ! coll( X, T, Y ), ! coll( X, T, Z
% 4.13/4.50 ), coll( Y, Z, X ) }.
% 4.13/4.50 parent1[0]: (8431) {G12,W4,D2,L1,V1,M1} R(8386,790) { coll( skol30, skol30
% 4.13/4.50 , X ) }.
% 4.13/4.50 substitution0:
% 4.13/4.50 X := skol30
% 4.13/4.50 Y := X
% 4.13/4.50 Z := Y
% 4.13/4.50 T := skol30
% 4.13/4.50 end
% 4.13/4.50 substitution1:
% 4.13/4.50 X := X
% 4.13/4.50 end
% 4.13/4.50
% 4.13/4.50 resolution: (24858) {G2,W4,D2,L1,V2,M1} { coll( Y, X, skol30 ) }.
% 4.13/4.50 parent0[0]: (24856) {G1,W8,D2,L2,V2,M2} { ! coll( skol30, skol30, Y ),
% 4.13/4.50 coll( X, Y, skol30 ) }.
% 4.13/4.50 parent1[0]: (8431) {G12,W4,D2,L1,V1,M1} R(8386,790) { coll( skol30, skol30
% 4.13/4.50 , X ) }.
% 4.13/4.50 substitution0:
% 4.13/4.50 X := Y
% 4.13/4.50 Y := X
% 4.13/4.50 end
% 4.13/4.50 substitution1:
% 4.13/4.50 X := X
% 4.13/4.50 end
% 4.13/4.50
% 4.13/4.50 subsumption: (8493) {G13,W4,D2,L1,V2,M1} R(8431,2);r(8431) { coll( Y, X,
% 4.13/4.50 skol30 ) }.
% 4.13/4.50 parent0: (24858) {G2,W4,D2,L1,V2,M1} { coll( Y, X, skol30 ) }.
% 4.13/4.50 substitution0:
% 4.13/4.50 X := X
% 4.13/4.50 Y := Y
% 4.13/4.50 end
% 4.13/4.50 permutation0:
% 4.13/4.50 0 ==> 0
% 4.13/4.50 end
% 4.13/4.50
% 4.13/4.50 resolution: (24859) {G2,W4,D2,L1,V2,M1} { coll( Y, skol30, X ) }.
% 4.13/4.50 parent0[0]: (177) {G1,W8,D2,L2,V3,M2} R(1,0) { ! coll( X, Y, Z ), coll( Y,
% 4.13/4.50 Z, X ) }.
% 4.13/4.50 parent1[0]: (8493) {G13,W4,D2,L1,V2,M1} R(8431,2);r(8431) { coll( Y, X,
% 4.13/4.50 skol30 ) }.
% 4.13/4.50 substitution0:
% 4.13/4.50 X := X
% 4.13/4.50 Y := Y
% 4.13/4.50 Z := skol30
% 4.13/4.50 end
% 4.13/4.50 substitution1:
% 4.13/4.50 X := Y
% 4.13/4.50 Y := X
% 4.13/4.50 end
% 4.13/4.50
% 4.13/4.50 subsumption: (8515) {G14,W4,D2,L1,V2,M1} R(8493,177) { coll( X, skol30, Y )
% 4.13/4.50 }.
% 4.13/4.50 parent0: (24859) {G2,W4,D2,L1,V2,M1} { coll( Y, skol30, X ) }.
% 4.13/4.50 substitution0:
% 4.13/4.50 X := Y
% 4.13/4.50 Y := X
% 4.13/4.50 end
% 4.13/4.50 permutation0:
% 4.13/4.50 0 ==> 0
% 4.13/4.50 end
% 4.13/4.50
% 4.13/4.50 resolution: (24860) {G1,W8,D2,L2,V3,M2} { ! coll( X, skol30, Z ), coll( Y
% 4.13/4.50 , Z, X ) }.
% 4.13/4.50 parent0[0]: (2) {G0,W12,D2,L3,V4,M3} I { ! coll( X, T, Y ), ! coll( X, T, Z
% 4.13/4.50 ), coll( Y, Z, X ) }.
% 4.13/4.50 parent1[0]: (8515) {G14,W4,D2,L1,V2,M1} R(8493,177) { coll( X, skol30, Y )
% 4.13/4.50 }.
% 4.13/4.50 substitution0:
% 4.13/4.50 X := X
% 4.13/4.50 Y := Y
% 4.13/4.50 Z := Z
% 4.13/4.50 T := skol30
% 4.13/4.50 end
% 4.13/4.50 substitution1:
% 4.13/4.50 X := X
% 4.13/4.50 Y := Y
% 4.13/4.50 end
% 4.13/4.50
% 4.13/4.50 resolution: (24862) {G2,W4,D2,L1,V3,M1} { coll( Z, Y, X ) }.
% 4.13/4.50 parent0[0]: (24860) {G1,W8,D2,L2,V3,M2} { ! coll( X, skol30, Z ), coll( Y
% 4.13/4.50 , Z, X ) }.
% 4.13/4.50 parent1[0]: (8515) {G14,W4,D2,L1,V2,M1} R(8493,177) { coll( X, skol30, Y )
% 4.13/4.50 }.
% 4.13/4.50 substitution0:
% 4.13/4.50 X := X
% 4.13/4.50 Y := Z
% 4.13/4.50 Z := Y
% 4.13/4.50 end
% 4.13/4.50 substitution1:
% 4.13/4.50 X := X
% 4.13/4.50 Y := Y
% 4.13/4.50 end
% 4.13/4.50
% 4.13/4.50 subsumption: (8528) {G15,W4,D2,L1,V3,M1} R(8515,2);r(8515) { coll( Z, Y, X
% 4.13/4.50 ) }.
% 4.13/4.50 parent0: (24862) {G2,W4,D2,L1,V3,M1} { coll( Z, Y, X ) }.
% 4.13/4.50 substitution0:
% 4.13/4.50 X := X
% 4.13/4.50 Y := Y
% 4.13/4.50 Z := Z
% 4.13/4.50 end
% 4.13/4.50 permutation0:
% 4.13/4.50 0 ==> 0
% 4.13/4.50 end
% 4.13/4.50
% 4.13/4.50 resolution: (24863) {G1,W7,D3,L1,V0,M1} { perp( skol25, skol27, skol12(
% 4.13/4.50 skol25, skol27 ), skol25 ) }.
% 4.13/4.50 parent0[0]: (7) {G0,W10,D2,L2,V4,M2} I { ! perp( X, Y, Z, T ), perp( Z, T,
% 4.13/4.50 X, Y ) }.
% 4.13/4.50 parent1[0]: (4898) {G1,W7,D3,L1,V0,M1} R(100,119) { perp( skol12( skol25,
% 4.13/4.50 skol27 ), skol25, skol25, skol27 ) }.
% 4.13/4.50 substitution0:
% 4.13/4.50 X := skol12( skol25, skol27 )
% 4.13/4.50 Y := skol25
% 4.13/4.50 Z := skol25
% 4.13/4.50 T := skol27
% 4.13/4.50 end
% 4.13/4.50 substitution1:
% 4.13/4.50 end
% 4.13/4.50
% 4.13/4.50 subsumption: (8713) {G2,W7,D3,L1,V0,M1} R(4898,7) { perp( skol25, skol27,
% 4.13/4.50 skol12( skol25, skol27 ), skol25 ) }.
% 4.13/4.50 parent0: (24863) {G1,W7,D3,L1,V0,M1} { perp( skol25, skol27, skol12(
% 4.13/4.50 skol25, skol27 ), skol25 ) }.
% 4.13/4.50 substitution0:
% 4.13/4.50 end
% 4.13/4.50 permutation0:
% 4.13/4.50 0 ==> 0
% 4.13/4.50 end
% 4.13/4.50
% 4.13/4.50 resolution: (24864) {G1,W7,D3,L1,V0,M1} { perp( skol25, skol27, skol25,
% 4.13/4.50 skol12( skol25, skol27 ) ) }.
% 4.13/4.50 parent0[0]: (6) {G0,W10,D2,L2,V4,M2} I { ! perp( X, Y, Z, T ), perp( X, Y,
% 4.13/4.50 T, Z ) }.
% 4.13/4.50 parent1[0]: (8713) {G2,W7,D3,L1,V0,M1} R(4898,7) { perp( skol25, skol27,
% 4.13/4.50 skol12( skol25, skol27 ), skol25 ) }.
% 4.13/4.50 substitution0:
% 4.13/4.50 X := skol25
% 4.13/4.50 Y := skol27
% 4.13/4.50 Z := skol12( skol25, skol27 )
% 4.13/4.50 T := skol25
% 4.13/4.50 end
% 4.13/4.50 substitution1:
% 4.13/4.50 end
% 4.13/4.50
% 4.13/4.50 subsumption: (8722) {G3,W7,D3,L1,V0,M1} R(8713,6) { perp( skol25, skol27,
% 4.13/4.50 skol25, skol12( skol25, skol27 ) ) }.
% 4.13/4.50 parent0: (24864) {G1,W7,D3,L1,V0,M1} { perp( skol25, skol27, skol25,
% 4.13/4.50 skol12( skol25, skol27 ) ) }.
% 4.13/4.50 substitution0:
% 4.13/4.50 end
% 4.13/4.50 permutation0:
% 4.13/4.50 0 ==> 0
% 4.13/4.50 end
% 4.13/4.50
% 4.13/4.50 resolution: (24865) {G1,W7,D3,L1,V0,M1} { perp( skol25, skol12( skol25,
% 4.13/4.50 skol27 ), skol25, skol27 ) }.
% 4.13/4.50 parent0[0]: (7) {G0,W10,D2,L2,V4,M2} I { ! perp( X, Y, Z, T ), perp( Z, T,
% 4.13/4.50 X, Y ) }.
% 4.13/4.50 parent1[0]: (8722) {G3,W7,D3,L1,V0,M1} R(8713,6) { perp( skol25, skol27,
% 4.13/4.50 skol25, skol12( skol25, skol27 ) ) }.
% 4.13/4.50 substitution0:
% 4.13/4.50 X := skol25
% 4.13/4.50 Y := skol27
% 4.13/4.50 Z := skol25
% 4.13/4.50 T := skol12( skol25, skol27 )
% 4.13/4.50 end
% 4.13/4.50 substitution1:
% 4.13/4.50 end
% 4.13/4.50
% 4.13/4.50 subsumption: (8730) {G4,W7,D3,L1,V0,M1} R(8722,7) { perp( skol25, skol12(
% 4.13/4.50 skol25, skol27 ), skol25, skol27 ) }.
% 4.13/4.50 parent0: (24865) {G1,W7,D3,L1,V0,M1} { perp( skol25, skol12( skol25,
% 4.13/4.50 skol27 ), skol25, skol27 ) }.
% 4.13/4.50 substitution0:
% 4.13/4.50 end
% 4.13/4.50 permutation0:
% 4.13/4.50 0 ==> 0
% 4.13/4.50 end
% 4.13/4.50
% 4.13/4.50 resolution: (24866) {G1,W7,D3,L1,V0,M1} { perp( skol25, skol12( skol25,
% 4.13/4.50 skol27 ), skol27, skol25 ) }.
% 4.13/4.50 parent0[0]: (6) {G0,W10,D2,L2,V4,M2} I { ! perp( X, Y, Z, T ), perp( X, Y,
% 4.13/4.50 T, Z ) }.
% 4.13/4.50 parent1[0]: (8730) {G4,W7,D3,L1,V0,M1} R(8722,7) { perp( skol25, skol12(
% 4.13/4.50 skol25, skol27 ), skol25, skol27 ) }.
% 4.13/4.50 substitution0:
% 4.13/4.50 X := skol25
% 4.13/4.50 Y := skol12( skol25, skol27 )
% 4.13/4.50 Z := skol25
% 4.13/4.50 T := skol27
% 4.13/4.50 end
% 4.13/4.50 substitution1:
% 4.13/4.50 end
% 4.13/4.50
% 4.13/4.50 subsumption: (8737) {G5,W7,D3,L1,V0,M1} R(8730,6) { perp( skol25, skol12(
% 4.13/4.50 skol25, skol27 ), skol27, skol25 ) }.
% 4.13/4.50 parent0: (24866) {G1,W7,D3,L1,V0,M1} { perp( skol25, skol12( skol25,
% 4.13/4.50 skol27 ), skol27, skol25 ) }.
% 4.13/4.50 substitution0:
% 4.13/4.50 end
% 4.13/4.50 permutation0:
% 4.13/4.50 0 ==> 0
% 4.13/4.50 end
% 4.13/4.50
% 4.13/4.50 resolution: (24867) {G1,W7,D3,L1,V0,M1} { perp( skol27, skol25, skol25,
% 4.13/4.50 skol12( skol25, skol27 ) ) }.
% 4.13/4.50 parent0[0]: (7) {G0,W10,D2,L2,V4,M2} I { ! perp( X, Y, Z, T ), perp( Z, T,
% 4.13/4.50 X, Y ) }.
% 4.13/4.50 parent1[0]: (8737) {G5,W7,D3,L1,V0,M1} R(8730,6) { perp( skol25, skol12(
% 4.13/4.50 skol25, skol27 ), skol27, skol25 ) }.
% 4.13/4.50 substitution0:
% 4.13/4.50 X := skol25
% 4.13/4.50 Y := skol12( skol25, skol27 )
% 4.13/4.50 Z := skol27
% 4.13/4.50 T := skol25
% 4.13/4.50 end
% 4.13/4.50 substitution1:
% 4.13/4.50 end
% 4.13/4.50
% 4.13/4.50 subsumption: (8745) {G6,W7,D3,L1,V0,M1} R(8737,7) { perp( skol27, skol25,
% 4.13/4.50 skol25, skol12( skol25, skol27 ) ) }.
% 4.13/4.50 parent0: (24867) {G1,W7,D3,L1,V0,M1} { perp( skol27, skol25, skol25,
% 4.13/4.50 skol12( skol25, skol27 ) ) }.
% 4.13/4.50 substitution0:
% 4.13/4.50 end
% 4.13/4.50 permutation0:
% 4.13/4.50 0 ==> 0
% 4.13/4.50 end
% 4.13/4.50
% 4.13/4.50 resolution: (24868) {G1,W14,D3,L2,V2,M2} { ! coll( skol12( skol25, skol27
% 4.13/4.50 ), X, Y ), perp( skol16( skol27, X, Y ), skol27, X, Y ) }.
% 4.13/4.50 parent0[0]: (110) {G0,W17,D3,L3,V5,M3} I { ! perp( X, U, U, T ), ! coll( T
% 4.13/4.50 , Y, Z ), perp( skol16( X, Y, Z ), X, Y, Z ) }.
% 4.13/4.50 parent1[0]: (8745) {G6,W7,D3,L1,V0,M1} R(8737,7) { perp( skol27, skol25,
% 4.13/4.50 skol25, skol12( skol25, skol27 ) ) }.
% 4.13/4.50 substitution0:
% 4.13/4.50 X := skol27
% 4.13/4.50 Y := X
% 4.13/4.50 Z := Y
% 4.13/4.50 T := skol12( skol25, skol27 )
% 4.13/4.50 U := skol25
% 4.13/4.50 end
% 4.13/4.50 substitution1:
% 4.13/4.50 end
% 4.13/4.50
% 4.13/4.50 resolution: (24869) {G2,W8,D3,L1,V2,M1} { perp( skol16( skol27, X, Y ),
% 4.13/4.50 skol27, X, Y ) }.
% 4.13/4.50 parent0[0]: (24868) {G1,W14,D3,L2,V2,M2} { ! coll( skol12( skol25, skol27
% 4.13/4.50 ), X, Y ), perp( skol16( skol27, X, Y ), skol27, X, Y ) }.
% 4.13/4.50 parent1[0]: (8528) {G15,W4,D2,L1,V3,M1} R(8515,2);r(8515) { coll( Z, Y, X )
% 4.13/4.50 }.
% 4.13/4.50 substitution0:
% 4.13/4.50 X := X
% 4.13/4.50 Y := Y
% 4.13/4.50 end
% 4.13/4.50 substitution1:
% 4.13/4.50 X := Y
% 4.13/4.50 Y := X
% 4.13/4.50 Z := skol12( skol25, skol27 )
% 4.13/4.50 end
% 4.13/4.50
% 4.13/4.50 subsumption: (8747) {G16,W8,D3,L1,V2,M1} R(8745,110);r(8528) { perp( skol16
% 4.13/4.50 ( skol27, X, Y ), skol27, X, Y ) }.
% 4.13/4.50 parent0: (24869) {G2,W8,D3,L1,V2,M1} { perp( skol16( skol27, X, Y ),
% 4.13/4.50 skol27, X, Y ) }.
% 4.13/4.50 substitution0:
% 4.13/4.50 X := X
% 4.13/4.50 Y := Y
% 4.13/4.50 end
% 4.13/4.50 permutation0:
% 4.13/4.50 0 ==> 0
% 4.13/4.50 end
% 4.13/4.50
% 4.13/4.50 resolution: (24870) {G2,W8,D3,L1,V2,M1} { perp( X, Y, skol27, skol16(
% 4.13/4.50 skol27, X, Y ) ) }.
% 4.13/4.50 parent0[0]: (276) {G1,W10,D2,L2,V4,M2} R(7,6) { ! perp( X, Y, Z, T ), perp
% 4.13/4.50 ( Z, T, Y, X ) }.
% 4.13/4.50 parent1[0]: (8747) {G16,W8,D3,L1,V2,M1} R(8745,110);r(8528) { perp( skol16
% 4.13/4.50 ( skol27, X, Y ), skol27, X, Y ) }.
% 4.13/4.50 substitution0:
% 4.13/4.50 X := skol16( skol27, X, Y )
% 4.13/4.50 Y := skol27
% 4.13/4.50 Z := X
% 4.13/4.50 T := Y
% 4.13/4.50 end
% 4.13/4.50 substitution1:
% 4.13/4.50 X := X
% 4.13/4.50 Y := Y
% 4.13/4.50 end
% 4.13/4.50
% 4.13/4.50 subsumption: (8995) {G17,W8,D3,L1,V2,M1} R(8747,276) { perp( X, Y, skol27,
% 4.13/4.50 skol16( skol27, X, Y ) ) }.
% 4.13/4.50 parent0: (24870) {G2,W8,D3,L1,V2,M1} { perp( X, Y, skol27, skol16( skol27
% 4.13/4.50 , X, Y ) ) }.
% 4.13/4.50 substitution0:
% 4.13/4.50 X := X
% 4.13/4.50 Y := Y
% 4.13/4.50 end
% 4.13/4.50 permutation0:
% 4.13/4.50 0 ==> 0
% 4.13/4.50 end
% 4.13/4.50
% 4.13/4.50 resolution: (24871) {G3,W5,D2,L1,V2,M1} { para( X, Y, X, Y ) }.
% 4.13/4.50 parent0[0]: (290) {G2,W10,D2,L2,V4,M2} F(282) { ! perp( X, Y, Z, T ), para
% 4.13/4.50 ( X, Y, X, Y ) }.
% 4.13/4.50 parent1[0]: (8995) {G17,W8,D3,L1,V2,M1} R(8747,276) { perp( X, Y, skol27,
% 4.13/4.50 skol16( skol27, X, Y ) ) }.
% 4.13/4.50 substitution0:
% 4.13/4.50 X := X
% 4.13/4.50 Y := Y
% 4.13/4.50 Z := skol27
% 4.13/4.50 T := skol16( skol27, X, Y )
% 4.13/4.50 end
% 4.13/4.50 substitution1:
% 4.13/4.50 X := X
% 4.13/4.50 Y := Y
% 4.13/4.50 end
% 4.13/4.50
% 4.13/4.50 subsumption: (9859) {G18,W5,D2,L1,V2,M1} R(290,8995) { para( X, Y, X, Y )
% 4.13/4.50 }.
% 4.13/4.50 parent0: (24871) {G3,W5,D2,L1,V2,M1} { para( X, Y, X, Y ) }.
% 4.13/4.50 substitution0:
% 4.13/4.50 X := X
% 4.13/4.50 Y := Y
% 4.13/4.50 end
% 4.13/4.50 permutation0:
% 4.13/4.50 0 ==> 0
% 4.13/4.50 end
% 4.13/4.50
% 4.13/4.50 resolution: (24872) {G2,W10,D2,L2,V3,M2} { cyclic( Z, Y, X, X ), ! para( X
% 4.13/4.50 , Z, X, Z ) }.
% 4.13/4.50 parent0[0]: (857) {G1,W14,D2,L3,V3,M3} R(42,39) { ! coll( X, X, Y ), cyclic
% 4.13/4.50 ( Z, Y, X, X ), ! para( X, Z, X, Z ) }.
% 4.13/4.50 parent1[0]: (8528) {G15,W4,D2,L1,V3,M1} R(8515,2);r(8515) { coll( Z, Y, X )
% 4.13/4.50 }.
% 4.13/4.50 substitution0:
% 4.13/4.50 X := X
% 4.13/4.50 Y := Y
% 4.13/4.50 Z := Z
% 4.13/4.50 end
% 4.13/4.50 substitution1:
% 4.13/4.50 X := Y
% 4.13/4.50 Y := X
% 4.13/4.50 Z := X
% 4.13/4.50 end
% 4.13/4.50
% 4.13/4.50 resolution: (24873) {G3,W5,D2,L1,V3,M1} { cyclic( X, Y, Z, Z ) }.
% 4.13/4.50 parent0[1]: (24872) {G2,W10,D2,L2,V3,M2} { cyclic( Z, Y, X, X ), ! para( X
% 4.13/4.50 , Z, X, Z ) }.
% 4.13/4.50 parent1[0]: (9859) {G18,W5,D2,L1,V2,M1} R(290,8995) { para( X, Y, X, Y )
% 4.13/4.50 }.
% 4.13/4.50 substitution0:
% 4.13/4.50 X := Z
% 4.13/4.50 Y := Y
% 4.13/4.50 Z := X
% 4.13/4.50 end
% 4.13/4.50 substitution1:
% 4.13/4.50 X := Z
% 4.13/4.50 Y := X
% 4.13/4.50 end
% 4.13/4.50
% 4.13/4.50 subsumption: (20096) {G19,W5,D2,L1,V3,M1} S(857);r(8528);r(9859) { cyclic(
% 4.13/4.50 Z, Y, X, X ) }.
% 4.13/4.50 parent0: (24873) {G3,W5,D2,L1,V3,M1} { cyclic( X, Y, Z, Z ) }.
% 4.13/4.50 substitution0:
% 4.13/4.50 X := Z
% 4.13/4.50 Y := Y
% 4.13/4.50 Z := X
% 4.13/4.50 end
% 4.13/4.50 permutation0:
% 4.13/4.50 0 ==> 0
% 4.13/4.50 end
% 4.13/4.50
% 4.13/4.50 resolution: (24874) {G2,W5,D2,L1,V3,M1} { cyclic( Y, Z, X, Z ) }.
% 4.13/4.50 parent0[0]: (417) {G1,W10,D2,L2,V4,M2} R(15,14) { ! cyclic( X, Y, Z, T ),
% 4.13/4.50 cyclic( Y, Z, X, T ) }.
% 4.13/4.50 parent1[0]: (20096) {G19,W5,D2,L1,V3,M1} S(857);r(8528);r(9859) { cyclic( Z
% 4.13/4.50 , Y, X, X ) }.
% 4.13/4.50 substitution0:
% 4.13/4.50 X := X
% 4.13/4.50 Y := Y
% 4.13/4.50 Z := Z
% 4.13/4.50 T := Z
% 4.13/4.50 end
% 4.13/4.50 substitution1:
% 4.13/4.50 X := Z
% 4.13/4.50 Y := Y
% 4.13/4.50 Z := X
% 4.13/4.50 end
% 4.13/4.50
% 4.13/4.50 subsumption: (20114) {G20,W5,D2,L1,V3,M1} R(20096,417) { cyclic( X, Y, Z, Y
% 4.13/4.50 ) }.
% 4.13/4.50 parent0: (24874) {G2,W5,D2,L1,V3,M1} { cyclic( Y, Z, X, Z ) }.
% 4.13/4.50 substitution0:
% 4.13/4.50 X := Z
% 4.13/4.50 Y := X
% 4.13/4.50 Z := Y
% 4.13/4.50 end
% 4.13/4.50 permutation0:
% 4.13/4.50 0 ==> 0
% 4.13/4.50 end
% 4.13/4.50
% 4.13/4.50 resolution: (24875) {G2,W5,D2,L1,V3,M1} { cyclic( X, Z, Z, Y ) }.
% 4.13/4.50 parent0[0]: (408) {G1,W10,D2,L2,V4,M2} R(14,13) { ! cyclic( X, Y, Z, T ),
% 4.13/4.50 cyclic( X, Z, T, Y ) }.
% 4.13/4.50 parent1[0]: (20096) {G19,W5,D2,L1,V3,M1} S(857);r(8528);r(9859) { cyclic( Z
% 4.13/4.50 , Y, X, X ) }.
% 4.13/4.50 substitution0:
% 4.13/4.50 X := X
% 4.13/4.50 Y := Y
% 4.13/4.50 Z := Z
% 4.13/4.50 T := Z
% 4.13/4.50 end
% 4.13/4.50 substitution1:
% 4.13/4.50 X := Z
% 4.13/4.50 Y := Y
% 4.13/4.50 Z := X
% 4.13/4.50 end
% 4.13/4.50
% 4.13/4.50 subsumption: (20116) {G20,W5,D2,L1,V3,M1} R(20096,408) { cyclic( X, Y, Y, Z
% 4.13/4.50 ) }.
% 4.13/4.50 parent0: (24875) {G2,W5,D2,L1,V3,M1} { cyclic( X, Z, Z, Y ) }.
% 4.13/4.50 substitution0:
% 4.13/4.50 X := X
% 4.13/4.50 Y := Z
% 4.13/4.50 Z := Y
% 4.13/4.50 end
% 4.13/4.50 permutation0:
% 4.13/4.50 0 ==> 0
% 4.13/4.50 end
% 4.13/4.50
% 4.13/4.50 resolution: (24877) {G2,W10,D2,L2,V4,M2} { ! cyclic( X, Y, Y, Z ), cyclic
% 4.13/4.50 ( Y, Y, Z, T ) }.
% 4.13/4.50 parent0[2]: (443) {G1,W15,D2,L3,V5,M3} R(16,13) { ! cyclic( X, Y, Z, T ),
% 4.13/4.50 cyclic( Y, Z, T, U ), ! cyclic( X, Y, U, Z ) }.
% 4.13/4.50 parent1[0]: (20114) {G20,W5,D2,L1,V3,M1} R(20096,417) { cyclic( X, Y, Z, Y
% 4.13/4.50 ) }.
% 4.13/4.50 substitution0:
% 4.13/4.50 X := X
% 4.13/4.50 Y := Y
% 4.13/4.50 Z := Y
% 4.13/4.50 T := Z
% 4.13/4.50 U := T
% 4.13/4.50 end
% 4.13/4.50 substitution1:
% 4.13/4.50 X := X
% 4.13/4.50 Y := Y
% 4.13/4.50 Z := T
% 4.13/4.50 end
% 4.13/4.50
% 4.13/4.50 resolution: (24878) {G3,W5,D2,L1,V3,M1} { cyclic( Y, Y, Z, T ) }.
% 4.13/4.50 parent0[0]: (24877) {G2,W10,D2,L2,V4,M2} { ! cyclic( X, Y, Y, Z ), cyclic
% 4.13/4.50 ( Y, Y, Z, T ) }.
% 4.13/4.50 parent1[0]: (20116) {G20,W5,D2,L1,V3,M1} R(20096,408) { cyclic( X, Y, Y, Z
% 4.13/4.50 ) }.
% 4.13/4.50 substitution0:
% 4.13/4.50 X := X
% 4.13/4.50 Y := Y
% 4.13/4.50 Z := Z
% 4.13/4.50 T := T
% 4.13/4.50 end
% 4.13/4.50 substitution1:
% 4.13/4.50 X := X
% 4.13/4.50 Y := Y
% 4.13/4.50 Z := Z
% 4.13/4.50 end
% 4.13/4.50
% 4.13/4.50 subsumption: (20121) {G21,W5,D2,L1,V3,M1} R(20114,443);r(20116) { cyclic( Y
% 4.13/4.50 , Y, Z, T ) }.
% 4.13/4.50 parent0: (24878) {G3,W5,D2,L1,V3,M1} { cyclic( Y, Y, Z, T ) }.
% 4.13/4.50 substitution0:
% 4.13/4.50 X := U
% 4.13/4.50 Y := Y
% 4.13/4.50 Z := Z
% 4.13/4.50 T := T
% 4.13/4.50 end
% 4.13/4.50 permutation0:
% 4.13/4.50 0 ==> 0
% 4.13/4.50 end
% 4.13/4.50
% 4.13/4.50 resolution: (24879) {G2,W10,D2,L2,V4,M2} { cyclic( X, Y, Z, T ), ! cyclic
% 4.13/4.50 ( X, X, T, Y ) }.
% 4.13/4.50 parent0[0]: (443) {G1,W15,D2,L3,V5,M3} R(16,13) { ! cyclic( X, Y, Z, T ),
% 4.13/4.50 cyclic( Y, Z, T, U ), ! cyclic( X, Y, U, Z ) }.
% 4.13/4.50 parent1[0]: (20121) {G21,W5,D2,L1,V3,M1} R(20114,443);r(20116) { cyclic( Y
% 4.13/4.50 , Y, Z, T ) }.
% 4.13/4.50 substitution0:
% 4.13/4.50 X := X
% 4.13/4.50 Y := X
% 4.13/4.50 Z := Y
% 4.13/4.50 T := Z
% 4.13/4.50 U := T
% 4.13/4.50 end
% 4.13/4.50 substitution1:
% 4.13/4.50 X := U
% 4.13/4.50 Y := X
% 4.13/4.50 Z := Y
% 4.13/4.50 T := Z
% 4.13/4.50 end
% 4.13/4.50
% 4.13/4.50 resolution: (24881) {G3,W5,D2,L1,V4,M1} { cyclic( X, Y, Z, T ) }.
% 4.13/4.50 parent0[1]: (24879) {G2,W10,D2,L2,V4,M2} { cyclic( X, Y, Z, T ), ! cyclic
% 4.13/4.50 ( X, X, T, Y ) }.
% 4.13/4.50 parent1[0]: (20121) {G21,W5,D2,L1,V3,M1} R(20114,443);r(20116) { cyclic( Y
% 4.13/4.50 , Y, Z, T ) }.
% 4.13/4.50 substitution0:
% 4.13/4.50 X := X
% 4.13/4.50 Y := Y
% 4.13/4.50 Z := Z
% 4.13/4.50 T := T
% 4.13/4.50 end
% 4.13/4.50 substitution1:
% 4.13/4.50 X := U
% 4.13/4.50 Y := X
% 4.13/4.50 Z := T
% 4.13/4.50 T := Y
% 4.13/4.50 end
% 4.13/4.50
% 4.13/4.50 subsumption: (20129) {G22,W5,D2,L1,V4,M1} R(20121,443);r(20121) { cyclic( X
% 4.13/4.50 , Y, Z, T ) }.
% 4.13/4.50 parent0: (24881) {G3,W5,D2,L1,V4,M1} { cyclic( X, Y, Z, T ) }.
% 4.13/4.50 substitution0:
% 4.13/4.50 X := X
% 4.13/4.50 Y := Y
% 4.13/4.50 Z := Z
% 4.13/4.50 T := T
% 4.13/4.50 end
% 4.13/4.50 permutation0:
% 4.13/4.50 0 ==> 0
% 4.13/4.50 end
% 4.13/4.50
% 4.13/4.50 resolution: (24884) {G3,W10,D2,L2,V3,M2} { ! cyclic( X, Y, Z, Y ), cong( X
% 4.13/4.50 , Y, X, Y ) }.
% 4.13/4.50 parent0[0]: (1038) {G2,W15,D2,L3,V3,M3} F(1006) { ! cyclic( X, Y, Z, X ), !
% 4.13/4.50 cyclic( X, Y, Z, Y ), cong( X, Y, X, Y ) }.
% 4.13/4.50 parent1[0]: (20129) {G22,W5,D2,L1,V4,M1} R(20121,443);r(20121) { cyclic( X
% 4.13/4.50 , Y, Z, T ) }.
% 4.13/4.50 substitution0:
% 4.13/4.50 X := X
% 4.13/4.50 Y := Y
% 4.13/4.50 Z := Z
% 4.13/4.50 end
% 4.13/4.50 substitution1:
% 4.13/4.50 X := X
% 4.13/4.50 Y := Y
% 4.13/4.50 Z := Z
% 4.13/4.50 T := X
% 4.13/4.50 end
% 4.13/4.50
% 4.13/4.50 resolution: (24886) {G4,W5,D2,L1,V2,M1} { cong( X, Y, X, Y ) }.
% 4.13/4.50 parent0[0]: (24884) {G3,W10,D2,L2,V3,M2} { ! cyclic( X, Y, Z, Y ), cong( X
% 4.13/4.50 , Y, X, Y ) }.
% 4.13/4.50 parent1[0]: (20129) {G22,W5,D2,L1,V4,M1} R(20121,443);r(20121) { cyclic( X
% 4.13/4.50 , Y, Z, T ) }.
% 4.13/4.50 substitution0:
% 4.13/4.50 X := X
% 4.13/4.50 Y := Y
% 4.13/4.50 Z := Z
% 4.13/4.50 end
% 4.13/4.50 substitution1:
% 4.13/4.50 X := X
% 4.13/4.50 Y := Y
% 4.13/4.50 Z := Z
% 4.13/4.50 T := Y
% 4.13/4.50 end
% 4.13/4.50
% 4.13/4.50 subsumption: (23850) {G23,W5,D2,L1,V2,M1} S(1038);r(20129);r(20129) { cong
% 4.13/4.50 ( X, Y, X, Y ) }.
% 4.13/4.50 parent0: (24886) {G4,W5,D2,L1,V2,M1} { cong( X, Y, X, Y ) }.
% 4.13/4.50 substitution0:
% 4.13/4.50 X := X
% 4.13/4.50 Y := Y
% 4.13/4.50 end
% 4.13/4.50 permutation0:
% 4.13/4.50 0 ==> 0
% 4.13/4.50 end
% 4.13/4.50
% 4.13/4.50 resolution: (24887) {G1,W10,D2,L2,V3,M2} { ! cong( X, Z, X, Z ), perp( X,
% 4.13/4.50 X, Y, Z ) }.
% 4.13/4.50 parent0[0]: (56) {G0,W15,D2,L3,V4,M3} I { ! cong( X, Z, Y, Z ), ! cong( X,
% 4.13/4.50 T, Y, T ), perp( X, Y, Z, T ) }.
% 4.13/4.50 parent1[0]: (23850) {G23,W5,D2,L1,V2,M1} S(1038);r(20129);r(20129) { cong(
% 4.13/4.50 X, Y, X, Y ) }.
% 4.13/4.50 substitution0:
% 4.13/4.50 X := X
% 4.13/4.50 Y := X
% 4.13/4.50 Z := Y
% 4.13/4.50 T := Z
% 4.13/4.50 end
% 4.13/4.50 substitution1:
% 4.13/4.50 X := X
% 4.13/4.50 Y := Y
% 4.13/4.50 end
% 4.13/4.50
% 4.13/4.50 resolution: (24889) {G2,W5,D2,L1,V3,M1} { perp( X, X, Z, Y ) }.
% 4.13/4.50 parent0[0]: (24887) {G1,W10,D2,L2,V3,M2} { ! cong( X, Z, X, Z ), perp( X,
% 4.13/4.50 X, Y, Z ) }.
% 4.13/4.50 parent1[0]: (23850) {G23,W5,D2,L1,V2,M1} S(1038);r(20129);r(20129) { cong(
% 4.13/4.50 X, Y, X, Y ) }.
% 4.13/4.50 substitution0:
% 4.13/4.50 X := X
% 4.13/4.50 Y := Z
% 4.13/4.50 Z := Y
% 4.13/4.50 end
% 4.13/4.50 substitution1:
% 4.13/4.50 X := X
% 4.13/4.50 Y := Y
% 4.13/4.50 end
% 4.13/4.50
% 4.13/4.50 subsumption: (23860) {G24,W5,D2,L1,V3,M1} R(23850,56);r(23850) { perp( X, X
% 4.13/4.50 , Z, Y ) }.
% 4.13/4.50 parent0: (24889) {G2,W5,D2,L1,V3,M1} { perp( X, X, Z, Y ) }.
% 4.13/4.50 substitution0:
% 4.13/4.50 X := X
% 4.13/4.50 Y := Y
% 4.13/4.50 Z := Z
% 4.13/4.50 end
% 4.13/4.50 permutation0:
% 4.13/4.50 0 ==> 0
% 4.13/4.50 end
% 4.13/4.50
% 4.13/4.50 resolution: (24890) {G2,W10,D2,L2,V5,M2} { para( T, U, Y, Z ), ! perp( X,
% 4.13/4.50 X, T, U ) }.
% 4.13/4.50 parent0[0]: (281) {G1,W15,D2,L3,V6,M3} R(8,7) { ! perp( X, Y, Z, T ), para
% 4.13/4.50 ( U, W, Z, T ), ! perp( X, Y, U, W ) }.
% 4.13/4.50 parent1[0]: (23860) {G24,W5,D2,L1,V3,M1} R(23850,56);r(23850) { perp( X, X
% 4.13/4.50 , Z, Y ) }.
% 4.13/4.50 substitution0:
% 4.13/4.50 X := X
% 4.13/4.50 Y := X
% 4.13/4.50 Z := Y
% 4.13/4.50 T := Z
% 4.13/4.50 U := T
% 4.13/4.50 W := U
% 4.13/4.50 end
% 4.13/4.50 substitution1:
% 4.13/4.50 X := X
% 4.13/4.50 Y := Z
% 4.13/4.50 Z := Y
% 4.13/4.50 end
% 4.13/4.50
% 4.13/4.50 resolution: (24892) {G3,W5,D2,L1,V4,M1} { para( X, Y, Z, T ) }.
% 4.13/4.50 parent0[1]: (24890) {G2,W10,D2,L2,V5,M2} { para( T, U, Y, Z ), ! perp( X,
% 4.13/4.50 X, T, U ) }.
% 4.13/4.50 parent1[0]: (23860) {G24,W5,D2,L1,V3,M1} R(23850,56);r(23850) { perp( X, X
% 4.13/4.50 , Z, Y ) }.
% 4.13/4.50 substitution0:
% 4.13/4.50 X := U
% 4.13/4.50 Y := Z
% 4.13/4.50 Z := T
% 4.13/4.50 T := X
% 4.13/4.50 U := Y
% 4.13/4.50 end
% 4.13/4.50 substitution1:
% 4.13/4.50 X := U
% 4.13/4.50 Y := Y
% 4.13/4.50 Z := X
% 4.13/4.50 end
% 4.13/4.50
% 4.13/4.50 subsumption: (23893) {G25,W5,D2,L1,V4,M1} R(23860,281);r(23860) { para( X,
% 4.13/4.50 Y, Z, T ) }.
% 4.13/4.50 parent0: (24892) {G3,W5,D2,L1,V4,M1} { para( X, Y, Z, T ) }.
% 4.13/4.50 substitution0:
% 4.13/4.50 X := X
% 4.13/4.50 Y := Y
% 4.13/4.50 Z := Z
% 4.13/4.50 T := T
% 4.13/4.50 end
% 4.13/4.50 permutation0:
% 4.13/4.50 0 ==> 0
% 4.13/4.50 end
% 4.13/4.50
% 4.13/4.50 resolution: (24893) {G2,W9,D2,L1,V6,M1} { eqangle( X, Y, Z, T, U, W, Z, T
% 4.13/4.50 ) }.
% 4.13/4.50 parent0[1]: (762) {G1,W14,D2,L2,V6,M2} R(39,3) { eqangle( X, Y, Z, T, U, W
% 4.13/4.50 , Z, T ), ! para( X, Y, W, U ) }.
% 4.13/4.50 parent1[0]: (23893) {G25,W5,D2,L1,V4,M1} R(23860,281);r(23860) { para( X, Y
% 4.13/4.50 , Z, T ) }.
% 4.13/4.50 substitution0:
% 4.13/4.50 X := X
% 4.13/4.50 Y := Y
% 4.13/4.50 Z := Z
% 4.13/4.50 T := T
% 4.13/4.50 U := U
% 4.13/4.50 W := W
% 4.13/4.50 end
% 4.13/4.50 substitution1:
% 4.13/4.50 X := X
% 4.13/4.50 Y := Y
% 4.13/4.50 Z := W
% 4.13/4.50 T := U
% 4.13/4.50 end
% 4.13/4.50
% 4.13/4.50 subsumption: (23903) {G26,W9,D2,L1,V6,M1} R(23893,762) { eqangle( X, Y, Z,
% 4.13/4.50 T, U, W, Z, T ) }.
% 4.13/4.50 parent0: (24893) {G2,W9,D2,L1,V6,M1} { eqangle( X, Y, Z, T, U, W, Z, T )
% 4.13/4.50 }.
% 4.13/4.50 substitution0:
% 4.13/4.50 X := X
% 4.13/4.50 Y := Y
% 4.13/4.50 Z := Z
% 4.13/4.50 T := T
% 4.13/4.50 U := U
% 4.13/4.50 W := W
% 4.13/4.50 end
% 4.13/4.50 permutation0:
% 4.13/4.50 0 ==> 0
% 4.13/4.50 end
% 4.13/4.50
% 4.13/4.50 resolution: (24894) {G2,W9,D2,L1,V6,M1} { eqangle( Z, T, Z, T, X, Y, U, W
% 4.13/4.50 ) }.
% 4.13/4.50 parent0[0]: (484) {G1,W18,D2,L2,V8,M2} R(20,19) { ! eqangle( X, Y, Z, T, U
% 4.13/4.50 , W, V0, V1 ), eqangle( Z, T, V0, V1, X, Y, U, W ) }.
% 4.13/4.50 parent1[0]: (23903) {G26,W9,D2,L1,V6,M1} R(23893,762) { eqangle( X, Y, Z, T
% 4.13/4.50 , U, W, Z, T ) }.
% 4.13/4.50 substitution0:
% 4.13/4.50 X := X
% 4.13/4.50 Y := Y
% 4.13/4.50 Z := Z
% 4.13/4.50 T := T
% 4.13/4.50 U := U
% 4.13/4.50 W := W
% 4.13/4.50 V0 := Z
% 4.13/4.50 V1 := T
% 4.13/4.50 end
% 4.13/4.50 substitution1:
% 4.13/4.50 X := X
% 4.13/4.50 Y := Y
% 4.13/4.50 Z := Z
% 4.13/4.50 T := T
% 4.13/4.50 U := U
% 4.13/4.50 W := W
% 4.13/4.50 end
% 4.13/4.50
% 4.13/4.50 subsumption: (24133) {G27,W9,D2,L1,V6,M1} R(23903,484) { eqangle( X, Y, X,
% 4.13/4.50 Y, Z, T, U, W ) }.
% 4.13/4.50 parent0: (24894) {G2,W9,D2,L1,V6,M1} { eqangle( Z, T, Z, T, X, Y, U, W )
% 4.13/4.50 }.
% 4.13/4.50 substitution0:
% 4.13/4.50 X := Z
% 4.13/4.50 Y := T
% 4.13/4.50 Z := X
% 4.13/4.50 T := Y
% 4.13/4.50 U := U
% 4.13/4.50 W := W
% 4.13/4.50 end
% 4.13/4.50 permutation0:
% 4.13/4.50 0 ==> 0
% 4.13/4.50 end
% 4.13/4.50
% 4.13/4.50 resolution: (24895) {G2,W14,D2,L2,V8,M2} { ! para( X, Y, Z, T ), eqangle(
% 4.13/4.50 X, Y, Z, T, U, W, V0, V1 ) }.
% 4.13/4.50 parent0[1]: (754) {G1,W23,D2,L3,V10,M3} R(39,21) { ! para( X, Y, Z, T ), !
% 4.13/4.50 eqangle( Z, T, U, W, V0, V1, V2, V3 ), eqangle( X, Y, U, W, V0, V1, V2,
% 4.13/4.50 V3 ) }.
% 4.13/4.50 parent1[0]: (24133) {G27,W9,D2,L1,V6,M1} R(23903,484) { eqangle( X, Y, X, Y
% 4.13/4.50 , Z, T, U, W ) }.
% 4.13/4.50 substitution0:
% 4.13/4.50 X := X
% 4.13/4.50 Y := Y
% 4.13/4.50 Z := Z
% 4.13/4.50 T := T
% 4.13/4.50 U := Z
% 4.13/4.50 W := T
% 4.13/4.50 V0 := U
% 4.13/4.50 V1 := W
% 4.13/4.50 V2 := V0
% 4.13/4.50 V3 := V1
% 4.13/4.50 end
% 4.13/4.50 substitution1:
% 4.13/4.50 X := Z
% 4.13/4.50 Y := T
% 4.13/4.50 Z := U
% 4.13/4.50 T := W
% 4.13/4.50 U := V0
% 4.13/4.50 W := V1
% 4.13/4.50 end
% 4.13/4.50
% 4.13/4.50 resolution: (24896) {G3,W9,D2,L1,V8,M1} { eqangle( X, Y, Z, T, U, W, V0,
% 4.13/4.50 V1 ) }.
% 4.13/4.50 parent0[0]: (24895) {G2,W14,D2,L2,V8,M2} { ! para( X, Y, Z, T ), eqangle(
% 4.13/4.50 X, Y, Z, T, U, W, V0, V1 ) }.
% 4.13/4.50 parent1[0]: (23893) {G25,W5,D2,L1,V4,M1} R(23860,281);r(23860) { para( X, Y
% 4.13/4.50 , Z, T ) }.
% 4.13/4.50 substitution0:
% 4.13/4.50 X := X
% 4.13/4.50 Y := Y
% 4.13/4.50 Z := Z
% 4.13/4.50 T := T
% 4.13/4.50 U := U
% 4.13/4.50 W := W
% 4.13/4.50 V0 := V0
% 4.13/4.50 V1 := V1
% 4.13/4.50 end
% 4.13/4.50 substitution1:
% 4.13/4.50 X := X
% 4.13/4.50 Y := Y
% 4.13/4.50 Z := Z
% 4.13/4.50 T := T
% 4.13/4.50 end
% 4.13/4.50
% 4.13/4.50 subsumption: (24136) {G28,W9,D2,L1,V8,M1} R(24133,754);r(23893) { eqangle(
% 4.13/4.50 X, Y, Z, T, U, W, V0, V1 ) }.
% 4.13/4.50 parent0: (24896) {G3,W9,D2,L1,V8,M1} { eqangle( X, Y, Z, T, U, W, V0, V1 )
% 4.13/4.50 }.
% 4.13/4.50 substitution0:
% 4.13/4.50 X := X
% 4.13/4.50 Y := Y
% 4.13/4.50 Z := Z
% 4.13/4.50 T := T
% 4.13/4.50 U := U
% 4.13/4.50 W := W
% 4.13/4.50 V0 := V0
% 4.13/4.50 V1 := V1
% 4.13/4.50 end
% 4.13/4.50 permutation0:
% 4.13/4.50 0 ==> 0
% 4.13/4.50 end
% 4.13/4.50
% 4.13/4.50 resolution: (24897) {G1,W0,D0,L0,V0,M0} { }.
% 4.13/4.50 parent0[0]: (130) {G0,W9,D2,L1,V0,M1} I { ! eqangle( skol20, skol22, skol22
% 4.13/4.50 , skol24, skol24, skol22, skol22, skol23 ) }.
% 4.13/4.50 parent1[0]: (24136) {G28,W9,D2,L1,V8,M1} R(24133,754);r(23893) { eqangle( X
% 4.13/4.50 , Y, Z, T, U, W, V0, V1 ) }.
% 4.13/4.50 substitution0:
% 4.13/4.50 end
% 4.13/4.50 substitution1:
% 4.13/4.50 X := skol20
% 4.13/4.50 Y := skol22
% 4.13/4.50 Z := skol22
% 4.13/4.50 T := skol24
% 4.13/4.50 U := skol24
% 4.13/4.50 W := skol22
% 4.13/4.50 V0 := skol22
% 4.13/4.50 V1 := skol23
% 4.13/4.50 end
% 4.13/4.50
% 4.13/4.50 subsumption: (24137) {G29,W0,D0,L0,V0,M0} R(24136,130) { }.
% 4.13/4.50 parent0: (24897) {G1,W0,D0,L0,V0,M0} { }.
% 4.13/4.50 substitution0:
% 4.13/4.50 end
% 4.13/4.50 permutation0:
% 4.13/4.50 end
% 4.13/4.50
% 4.13/4.50 Proof check complete!
% 4.13/4.50
% 4.13/4.50 Memory use:
% 4.13/4.50
% 4.13/4.50 space for terms: 384462
% 4.13/4.50 space for clauses: 1255562
% 4.13/4.50
% 4.13/4.50
% 4.13/4.50 clauses generated: 130852
% 4.13/4.50 clauses kept: 24138
% 4.13/4.50 clauses selected: 2016
% 4.13/4.50 clauses deleted: 7231
% 4.13/4.50 clauses inuse deleted: 649
% 4.13/4.50
% 4.13/4.50 subsentry: 1938706
% 4.13/4.50 literals s-matched: 1298885
% 4.13/4.50 literals matched: 764606
% 4.13/4.50 full subsumption: 310980
% 4.13/4.50
% 4.13/4.50 checksum: 226200050
% 4.13/4.50
% 4.13/4.50
% 4.13/4.50 Bliksem ended
%------------------------------------------------------------------------------