TSTP Solution File: GEO562+1 by Bliksem---1.12
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- Process Solution
%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : GEO562+1 : TPTP v8.1.0. Released v7.5.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n011.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 0s
% DateTime : Sat Jul 16 02:54:44 EDT 2022
% Result : Theorem 12.72s 13.12s
% Output : Refutation 12.72s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : GEO562+1 : TPTP v8.1.0. Released v7.5.0.
% 0.07/0.13 % Command : bliksem %s
% 0.12/0.34 % Computer : n011.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % DateTime : Sat Jun 18 16:46:53 EDT 2022
% 0.12/0.35 % CPUTime :
% 0.82/1.18 *** allocated 10000 integers for termspace/termends
% 0.82/1.18 *** allocated 10000 integers for clauses
% 0.82/1.18 *** allocated 10000 integers for justifications
% 0.82/1.18 Bliksem 1.12
% 0.82/1.18
% 0.82/1.18
% 0.82/1.18 Automatic Strategy Selection
% 0.82/1.18
% 0.82/1.18 *** allocated 15000 integers for termspace/termends
% 0.82/1.18
% 0.82/1.18 Clauses:
% 0.82/1.18
% 0.82/1.18 { ! coll( X, Y, Z ), coll( X, Z, Y ) }.
% 0.82/1.18 { ! coll( X, Y, Z ), coll( Y, X, Z ) }.
% 0.82/1.18 { ! coll( X, T, Y ), ! coll( X, T, Z ), coll( Y, Z, X ) }.
% 0.82/1.18 { ! para( X, Y, Z, T ), para( X, Y, T, Z ) }.
% 0.82/1.18 { ! para( X, Y, Z, T ), para( Z, T, X, Y ) }.
% 0.82/1.18 { ! para( X, Y, U, W ), ! para( U, W, Z, T ), para( X, Y, Z, T ) }.
% 0.82/1.18 { ! perp( X, Y, Z, T ), perp( X, Y, T, Z ) }.
% 0.82/1.18 { ! perp( X, Y, Z, T ), perp( Z, T, X, Y ) }.
% 0.82/1.18 { ! perp( X, Y, U, W ), ! perp( U, W, Z, T ), para( X, Y, Z, T ) }.
% 0.82/1.18 { ! para( X, Y, U, W ), ! perp( U, W, Z, T ), perp( X, Y, Z, T ) }.
% 0.82/1.18 { ! midp( Z, Y, X ), midp( Z, X, Y ) }.
% 0.82/1.18 { ! cong( T, X, T, Y ), ! cong( T, X, T, Z ), circle( T, X, Y, Z ) }.
% 0.82/1.18 { ! cong( U, X, U, Y ), ! cong( U, X, U, Z ), ! cong( U, X, U, T ), cyclic
% 0.82/1.18 ( X, Y, Z, T ) }.
% 0.82/1.18 { ! cyclic( X, Y, Z, T ), cyclic( X, Y, T, Z ) }.
% 0.82/1.18 { ! cyclic( X, Y, Z, T ), cyclic( X, Z, Y, T ) }.
% 0.82/1.18 { ! cyclic( X, Y, Z, T ), cyclic( Y, X, Z, T ) }.
% 0.82/1.18 { ! cyclic( U, X, Y, Z ), ! cyclic( U, X, Y, T ), cyclic( X, Y, Z, T ) }.
% 0.82/1.18 { ! eqangle( X, Y, Z, T, U, W, V0, V1 ), eqangle( Y, X, Z, T, U, W, V0, V1
% 0.82/1.18 ) }.
% 0.82/1.18 { ! eqangle( X, Y, Z, T, U, W, V0, V1 ), eqangle( Z, T, X, Y, V0, V1, U, W
% 0.82/1.18 ) }.
% 0.82/1.18 { ! eqangle( X, Y, Z, T, U, W, V0, V1 ), eqangle( U, W, V0, V1, X, Y, Z, T
% 0.82/1.18 ) }.
% 0.82/1.18 { ! eqangle( X, Y, Z, T, U, W, V0, V1 ), eqangle( X, Y, U, W, Z, T, V0, V1
% 0.82/1.18 ) }.
% 0.82/1.18 { ! eqangle( X, Y, Z, T, V2, V3, V4, V5 ), ! eqangle( V2, V3, V4, V5, U, W
% 0.82/1.18 , V0, V1 ), eqangle( X, Y, Z, T, U, W, V0, V1 ) }.
% 0.82/1.18 { ! cong( X, Y, Z, T ), cong( X, Y, T, Z ) }.
% 0.82/1.18 { ! cong( X, Y, Z, T ), cong( Z, T, X, Y ) }.
% 0.82/1.18 { ! cong( X, Y, U, W ), ! cong( U, W, Z, T ), cong( X, Y, Z, T ) }.
% 0.82/1.18 { ! eqratio( X, Y, Z, T, U, W, V0, V1 ), eqratio( Y, X, Z, T, U, W, V0, V1
% 0.82/1.18 ) }.
% 0.82/1.18 { ! eqratio( X, Y, Z, T, U, W, V0, V1 ), eqratio( Z, T, X, Y, V0, V1, U, W
% 0.82/1.18 ) }.
% 0.82/1.18 { ! eqratio( X, Y, Z, T, U, W, V0, V1 ), eqratio( U, W, V0, V1, X, Y, Z, T
% 0.82/1.18 ) }.
% 0.82/1.18 { ! eqratio( X, Y, Z, T, U, W, V0, V1 ), eqratio( X, Y, U, W, Z, T, V0, V1
% 0.82/1.18 ) }.
% 0.82/1.18 { ! eqratio( X, Y, Z, T, V2, V3, V4, V5 ), ! eqratio( V2, V3, V4, V5, U, W
% 0.82/1.18 , V0, V1 ), eqratio( X, Y, Z, T, U, W, V0, V1 ) }.
% 0.82/1.18 { ! simtri( X, Z, Y, T, W, U ), simtri( X, Y, Z, T, U, W ) }.
% 0.82/1.18 { ! simtri( Y, X, Z, U, T, W ), simtri( X, Y, Z, T, U, W ) }.
% 0.82/1.18 { ! simtri( T, U, W, X, Y, Z ), simtri( X, Y, Z, T, U, W ) }.
% 0.82/1.18 { ! simtri( X, Y, Z, V0, V1, V2 ), ! simtri( V0, V1, V2, T, U, W ), simtri
% 0.82/1.18 ( X, Y, Z, T, U, W ) }.
% 0.82/1.18 { ! contri( X, Z, Y, T, W, U ), contri( X, Y, Z, T, U, W ) }.
% 0.82/1.18 { ! contri( Y, X, Z, U, T, W ), contri( X, Y, Z, T, U, W ) }.
% 0.82/1.18 { ! contri( T, U, W, X, Y, Z ), contri( X, Y, Z, T, U, W ) }.
% 0.82/1.18 { ! contri( X, Y, Z, V0, V1, V2 ), ! contri( V0, V1, V2, T, U, W ), contri
% 0.82/1.18 ( X, Y, Z, T, U, W ) }.
% 0.82/1.18 { ! eqangle( X, Y, U, W, Z, T, U, W ), para( X, Y, Z, T ) }.
% 0.82/1.18 { ! para( X, Y, Z, T ), eqangle( X, Y, U, W, Z, T, U, W ) }.
% 0.82/1.18 { ! cyclic( X, Y, Z, T ), eqangle( Z, X, Z, Y, T, X, T, Y ) }.
% 0.82/1.18 { ! eqangle( Z, X, Z, Y, T, X, T, Y ), coll( Z, T, X ), cyclic( X, Y, Z, T
% 0.82/1.18 ) }.
% 0.82/1.18 { ! eqangle( Z, X, Z, Y, T, X, T, Y ), ! coll( Z, T, Y ), cyclic( X, Y, Z,
% 0.82/1.18 T ) }.
% 0.82/1.18 { ! cyclic( X, Y, U, Z ), ! cyclic( X, Y, U, T ), ! cyclic( X, Y, U, W ), !
% 0.82/1.18 eqangle( U, X, U, Y, W, Z, W, T ), cong( X, Y, Z, T ) }.
% 0.82/1.18 { ! midp( Z, U, X ), ! midp( T, U, Y ), para( Z, T, X, Y ) }.
% 0.82/1.18 { ! midp( U, X, T ), ! para( U, Z, T, Y ), ! coll( Z, X, Y ), midp( Z, X, Y
% 0.82/1.18 ) }.
% 0.82/1.18 { ! cong( Z, X, Z, Y ), eqangle( Z, X, X, Y, X, Y, Z, Y ) }.
% 0.82/1.18 { ! eqangle( Z, X, X, Y, X, Y, Z, Y ), coll( Z, X, Y ), cong( Z, X, Z, Y )
% 0.82/1.18 }.
% 0.82/1.18 { ! circle( U, X, Y, Z ), ! perp( U, X, X, T ), eqangle( X, T, X, Y, Z, X,
% 0.82/1.18 Z, Y ) }.
% 0.82/1.18 { ! circle( Y, X, T, U ), ! eqangle( X, Z, X, T, U, X, U, T ), perp( Y, X,
% 0.82/1.18 X, Z ) }.
% 0.82/1.18 { ! circle( T, X, Y, Z ), ! midp( U, Y, Z ), eqangle( X, Y, X, Z, T, Y, T,
% 0.82/1.18 U ) }.
% 0.82/1.18 { ! circle( U, T, X, Y ), ! coll( Z, X, Y ), ! eqangle( T, X, T, Y, U, X, U
% 0.82/1.18 , Z ), midp( Z, X, Y ) }.
% 0.82/1.18 { ! perp( X, Y, Y, T ), ! midp( Z, X, T ), cong( X, Z, Y, Z ) }.
% 0.82/1.18 { ! circle( T, X, Y, Z ), ! coll( T, X, Z ), perp( X, Y, Y, Z ) }.
% 0.82/1.18 { ! cyclic( X, Y, Z, T ), ! para( X, Y, Z, T ), eqangle( X, T, Z, T, Z, T,
% 0.82/1.18 Z, Y ) }.
% 0.82/1.18 { ! midp( T, X, Y ), ! perp( Z, T, X, Y ), cong( Z, X, Z, Y ) }.
% 0.82/1.18 { ! cong( X, Z, Y, Z ), ! cong( X, T, Y, T ), perp( X, Y, Z, T ) }.
% 0.82/1.18 { ! cong( X, Y, T, Y ), ! cong( X, Z, T, Z ), ! cyclic( X, T, Y, Z ), perp
% 0.82/1.18 ( Y, X, X, Z ) }.
% 0.82/1.18 { ! eqangle( X, Y, Y, Z, T, U, U, W ), ! eqangle( X, Z, Y, Z, T, W, U, W )
% 0.82/1.18 , coll( X, Y, Z ), simtri( X, Y, Z, T, U, W ) }.
% 0.82/1.18 { ! simtri( X, Y, Z, T, U, W ), eqratio( X, Y, X, Z, T, U, T, W ) }.
% 0.82/1.18 { ! simtri( X, Y, Z, T, U, W ), eqangle( X, Y, Y, Z, T, U, U, W ) }.
% 0.82/1.18 { ! simtri( X, Y, Z, T, U, W ), ! cong( X, Y, T, U ), contri( X, Y, Z, T, U
% 0.82/1.18 , W ) }.
% 0.82/1.18 { ! contri( X, Y, U, Z, T, W ), cong( X, Y, Z, T ) }.
% 0.82/1.18 { ! midp( U, X, Y ), ! midp( U, Z, T ), para( X, Z, Y, T ) }.
% 0.82/1.18 { ! midp( Z, T, U ), ! para( T, X, U, Y ), ! para( T, Y, U, X ), midp( Z, X
% 0.82/1.18 , Y ) }.
% 0.82/1.18 { ! para( X, Y, Z, T ), ! coll( U, X, Z ), ! coll( U, Y, T ), eqratio( U, X
% 0.82/1.18 , X, Z, U, Y, Y, T ) }.
% 0.82/1.18 { ! para( X, Y, X, Z ), coll( X, Y, Z ) }.
% 0.82/1.18 { ! cong( X, Y, X, Z ), ! coll( X, Y, Z ), midp( X, Y, Z ) }.
% 0.82/1.18 { ! midp( X, Y, Z ), cong( X, Y, X, Z ) }.
% 0.82/1.18 { ! midp( X, Y, Z ), coll( X, Y, Z ) }.
% 0.82/1.18 { ! midp( U, X, Y ), ! midp( W, Z, T ), eqratio( U, X, X, Y, W, Z, Z, T ) }
% 0.82/1.18 .
% 0.82/1.18 { ! eqangle( X, Y, Z, T, Z, T, X, Y ), para( X, Y, Z, T ), perp( X, Y, Z, T
% 0.82/1.18 ) }.
% 0.82/1.18 { ! eqangle( X, Y, Z, T, Z, T, X, Y ), perp( X, Y, Z, T ), para( X, Y, Z, T
% 0.82/1.18 ) }.
% 0.82/1.18 { ! eqangle( X, Y, Z, T, U, W, V0, V1 ), ! para( U, W, V0, V1 ), para( X, Y
% 0.82/1.18 , Z, T ) }.
% 0.82/1.18 { ! eqangle( X, Y, Z, T, U, W, V0, V1 ), ! perp( U, W, V0, V1 ), perp( X, Y
% 0.82/1.18 , Z, T ) }.
% 0.82/1.18 { ! eqratio( X, Y, Z, T, U, W, V0, V1 ), ! cong( U, W, V0, V1 ), cong( X, Y
% 0.82/1.18 , Z, T ) }.
% 0.82/1.18 { ! perp( Z, Y, Y, X ), ! eqangle( T, Z, Y, Z, Y, Z, X, Z ), coll( skol1( U
% 0.82/1.18 , W, Z, T ), Z, T ) }.
% 0.82/1.18 { ! perp( Z, Y, Y, X ), ! eqangle( T, Z, Y, Z, Y, Z, X, Z ), coll( skol1( X
% 0.82/1.18 , Y, Z, T ), X, Y ) }.
% 0.82/1.18 { ! cong( Z, X, Z, Y ), ! eqangle( X, Z, Z, T, Z, T, Z, Y ), coll( skol2( U
% 0.82/1.18 , W, Z, T ), Z, T ) }.
% 0.82/1.18 { ! cong( Z, X, Z, Y ), ! eqangle( X, Z, Z, T, Z, T, Z, Y ), coll( Y, X,
% 0.82/1.18 skol2( X, Y, Z, T ) ) }.
% 0.82/1.18 { ! perp( Z, T, X, Y ), ! eqangle( X, Z, Z, T, Z, T, Z, Y ), coll( skol3( U
% 0.82/1.18 , W, Z, T ), Z, T ) }.
% 0.82/1.18 { ! perp( Z, T, X, Y ), ! eqangle( X, Z, Z, T, Z, T, Z, Y ), coll( Y, X,
% 0.82/1.18 skol3( X, Y, Z, T ) ) }.
% 0.82/1.18 { ! perp( Z, T, X, Y ), ! cong( Z, X, Z, Y ), coll( skol4( U, W, Z, T ), Z
% 0.82/1.18 , T ) }.
% 0.82/1.18 { ! perp( Z, T, X, Y ), ! cong( Z, X, Z, Y ), coll( Y, X, skol4( X, Y, Z, T
% 0.82/1.18 ) ) }.
% 0.82/1.18 { ! eqangle( X, Z, Y, Z, X, T, Y, U ), coll( X, Y, Z ), cyclic( T, Y, Z,
% 0.82/1.18 skol5( W, Y, Z, T ) ) }.
% 0.82/1.18 { ! eqangle( X, Z, Y, Z, X, T, Y, U ), coll( X, Y, Z ), eqangle( X, Z, Y, Z
% 0.82/1.18 , X, skol5( X, Y, Z, T ), Y, skol5( X, Y, Z, T ) ) }.
% 0.82/1.18 { ! midp( U, X, Y ), ! midp( W, Z, T ), midp( skol6( X, V0, V1, T, V2, V3 )
% 0.82/1.18 , X, T ) }.
% 0.82/1.18 { ! midp( U, X, Y ), ! midp( W, Z, T ), para( skol6( X, V0, Z, T, V1, W ),
% 0.82/1.18 W, X, Z ) }.
% 0.82/1.18 { ! midp( U, X, Y ), ! midp( W, Z, T ), para( skol6( X, Y, Z, T, U, W ), U
% 0.82/1.18 , Y, T ) }.
% 0.82/1.18 { ! midp( Z, X, Y ), ! midp( W, T, U ), ! coll( T, X, Y ), ! coll( U, X, Y
% 0.82/1.18 ), midp( skol7( X, V0 ), X, V0 ) }.
% 0.82/1.18 { ! midp( T, X, U ), ! para( X, W, Z, T ), ! para( X, W, U, Y ), ! coll( W
% 0.82/1.18 , Y, Z ), coll( skol8( V0, V1, Z, T ), T, Z ) }.
% 0.82/1.18 { ! midp( T, X, U ), ! para( X, W, Z, T ), ! para( X, W, U, Y ), ! coll( W
% 0.82/1.18 , Y, Z ), coll( skol8( X, Y, Z, T ), X, Y ) }.
% 0.82/1.18 { ! cong( T, Z, T, U ), ! perp( X, Y, Y, T ), cong( T, Z, T, skol9( W, V0,
% 0.82/1.18 Z, T ) ) }.
% 0.82/1.18 { ! cong( T, Z, T, U ), ! perp( X, Y, Y, T ), cong( Y, Z, Y, skol9( W, Y, Z
% 0.82/1.18 , T ) ) }.
% 0.82/1.18 { ! cong( T, Z, T, U ), ! perp( X, Y, Y, T ), para( skol9( X, Y, Z, T ), Z
% 0.82/1.18 , X, Y ) }.
% 0.82/1.18 { ! perp( X, T, Y, Z ), ! perp( Y, T, X, Z ), coll( skol10( U, Y, Z ), Z, Y
% 0.82/1.18 ) }.
% 0.82/1.18 { ! perp( X, T, Y, Z ), ! perp( Y, T, X, Z ), perp( X, skol10( X, Y, Z ), Z
% 0.82/1.18 , Y ) }.
% 0.82/1.18 { ! perp( X, T, Y, Z ), ! perp( Y, T, X, Z ), alpha1( X, Y, Z ) }.
% 0.82/1.18 { ! alpha1( X, Y, Z ), coll( skol11( X, T, Z ), Z, X ) }.
% 0.82/1.18 { ! alpha1( X, Y, Z ), perp( Y, skol11( X, Y, Z ), Z, X ) }.
% 0.82/1.18 { ! coll( T, Z, X ), ! perp( Y, T, Z, X ), alpha1( X, Y, Z ) }.
% 0.82/1.18 { ! circle( Y, X, Z, T ), perp( skol12( X, Y ), X, X, Y ) }.
% 3.74/4.15 { ! circle( W, X, Y, Z ), ! cong( W, X, W, T ), ! cong( U, X, U, Y ), W = U
% 3.74/4.15 , alpha2( X, Z, U, skol13( X, V0, Z, V1, U ) ) }.
% 3.74/4.15 { ! circle( W, X, Y, Z ), ! cong( W, X, W, T ), ! cong( U, X, U, Y ), W = U
% 3.74/4.15 , coll( skol21( V0, Y, T, V1 ), Y, T ) }.
% 3.74/4.15 { ! circle( W, X, Y, Z ), ! cong( W, X, W, T ), ! cong( U, X, U, Y ), W = U
% 3.74/4.15 , cong( skol21( X, Y, T, U ), U, U, X ) }.
% 3.74/4.15 { ! alpha2( X, Y, Z, T ), coll( T, X, Y ) }.
% 3.74/4.15 { ! alpha2( X, Y, Z, T ), cong( T, Z, Z, X ) }.
% 3.74/4.15 { ! coll( T, X, Y ), ! cong( T, Z, Z, X ), alpha2( X, Y, Z, T ) }.
% 3.74/4.15 { ! cyclic( X, Y, Z, T ), ! para( X, Y, Z, T ), ! midp( U, X, Y ), circle(
% 3.74/4.15 skol14( X, Y, Z ), X, Y, Z ) }.
% 3.74/4.15 { ! perp( X, Z, Z, Y ), ! cyclic( X, Y, Z, T ), circle( skol15( X, Y, Z ),
% 3.74/4.15 X, Y, Z ) }.
% 3.74/4.15 { ! perp( X, U, U, T ), ! coll( T, Y, Z ), coll( skol16( W, Y, Z ), Y, Z )
% 3.74/4.15 }.
% 3.74/4.15 { ! perp( X, U, U, T ), ! coll( T, Y, Z ), perp( skol16( X, Y, Z ), X, Y, Z
% 3.74/4.15 ) }.
% 3.74/4.15 { ! perp( X, Z, X, Y ), ! perp( Y, X, Y, T ), ! midp( U, Z, T ), midp(
% 3.74/4.15 skol17( X, Y ), X, Y ) }.
% 3.74/4.15 { ! cong( Y, X, Y, Z ), ! perp( X, Y, Y, Z ), coll( X, Y, skol18( X, Y ) )
% 3.74/4.15 }.
% 3.74/4.15 { ! cong( Y, X, Y, Z ), ! perp( X, Y, Y, Z ), cong( Y, X, Y, skol18( X, Y )
% 3.74/4.15 ) }.
% 3.74/4.15 { ! para( U, W, X, Y ), ! coll( Z, U, X ), ! coll( Z, W, Y ), ! coll( T, U
% 3.74/4.15 , W ), coll( Z, T, skol19( V0, V1, Z, T ) ) }.
% 3.74/4.15 { ! para( U, W, X, Y ), ! coll( Z, U, X ), ! coll( Z, W, Y ), ! coll( T, U
% 3.74/4.15 , W ), coll( skol19( X, Y, Z, T ), X, Y ) }.
% 3.74/4.15 { circle( skol26, skol20, skol22, skol23 ) }.
% 3.74/4.15 { perp( skol22, skol26, skol20, skol27 ) }.
% 3.74/4.15 { circle( skol26, skol20, skol27, skol28 ) }.
% 3.74/4.15 { coll( skol29, skol22, skol26 ) }.
% 3.74/4.15 { coll( skol29, skol20, skol27 ) }.
% 3.74/4.15 { circle( skol26, skol20, skol24, skol30 ) }.
% 3.74/4.15 { coll( skol31, skol20, skol27 ) }.
% 3.74/4.15 { coll( skol31, skol22, skol23 ) }.
% 3.74/4.15 { coll( skol25, skol20, skol27 ) }.
% 3.74/4.15 { coll( skol25, skol22, skol24 ) }.
% 3.74/4.15 { ! eqangle( skol20, skol25, skol25, skol22, skol22, skol23, skol23, skol24
% 3.74/4.15 ) }.
% 3.74/4.15
% 3.74/4.15 percentage equality = 0.008696, percentage horn = 0.929134
% 3.74/4.15 This is a problem with some equality
% 3.74/4.15
% 3.74/4.15
% 3.74/4.15
% 3.74/4.15 Options Used:
% 3.74/4.15
% 3.74/4.15 useres = 1
% 3.74/4.15 useparamod = 1
% 3.74/4.15 useeqrefl = 1
% 3.74/4.15 useeqfact = 1
% 3.74/4.15 usefactor = 1
% 3.74/4.15 usesimpsplitting = 0
% 3.74/4.15 usesimpdemod = 5
% 3.74/4.15 usesimpres = 3
% 3.74/4.15
% 3.74/4.15 resimpinuse = 1000
% 3.74/4.15 resimpclauses = 20000
% 3.74/4.15 substype = eqrewr
% 3.74/4.15 backwardsubs = 1
% 3.74/4.15 selectoldest = 5
% 3.74/4.15
% 3.74/4.15 litorderings [0] = split
% 3.74/4.15 litorderings [1] = extend the termordering, first sorting on arguments
% 3.74/4.15
% 3.74/4.15 termordering = kbo
% 3.74/4.15
% 3.74/4.15 litapriori = 0
% 3.74/4.15 termapriori = 1
% 3.74/4.15 litaposteriori = 0
% 3.74/4.15 termaposteriori = 0
% 3.74/4.15 demodaposteriori = 0
% 3.74/4.15 ordereqreflfact = 0
% 3.74/4.15
% 3.74/4.15 litselect = negord
% 3.74/4.15
% 3.74/4.15 maxweight = 15
% 3.74/4.15 maxdepth = 30000
% 3.74/4.15 maxlength = 115
% 3.74/4.15 maxnrvars = 195
% 3.74/4.15 excuselevel = 1
% 3.74/4.15 increasemaxweight = 1
% 3.74/4.15
% 3.74/4.15 maxselected = 10000000
% 3.74/4.15 maxnrclauses = 10000000
% 3.74/4.15
% 3.74/4.15 showgenerated = 0
% 3.74/4.15 showkept = 0
% 3.74/4.15 showselected = 0
% 3.74/4.15 showdeleted = 0
% 3.74/4.15 showresimp = 1
% 3.74/4.15 showstatus = 2000
% 3.74/4.15
% 3.74/4.15 prologoutput = 0
% 3.74/4.15 nrgoals = 5000000
% 3.74/4.15 totalproof = 1
% 3.74/4.15
% 3.74/4.15 Symbols occurring in the translation:
% 3.74/4.15
% 3.74/4.15 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 3.74/4.15 . [1, 2] (w:1, o:42, a:1, s:1, b:0),
% 3.74/4.15 ! [4, 1] (w:0, o:37, a:1, s:1, b:0),
% 3.74/4.15 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 3.74/4.15 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 3.74/4.15 coll [38, 3] (w:1, o:70, a:1, s:1, b:0),
% 3.74/4.15 para [40, 4] (w:1, o:78, a:1, s:1, b:0),
% 3.74/4.15 perp [43, 4] (w:1, o:79, a:1, s:1, b:0),
% 3.74/4.15 midp [45, 3] (w:1, o:71, a:1, s:1, b:0),
% 3.74/4.15 cong [47, 4] (w:1, o:80, a:1, s:1, b:0),
% 3.74/4.15 circle [48, 4] (w:1, o:81, a:1, s:1, b:0),
% 3.74/4.15 cyclic [49, 4] (w:1, o:82, a:1, s:1, b:0),
% 3.74/4.15 eqangle [54, 8] (w:1, o:97, a:1, s:1, b:0),
% 3.74/4.15 eqratio [57, 8] (w:1, o:98, a:1, s:1, b:0),
% 3.74/4.15 simtri [59, 6] (w:1, o:94, a:1, s:1, b:0),
% 3.74/4.15 contri [60, 6] (w:1, o:95, a:1, s:1, b:0),
% 3.74/4.15 alpha1 [66, 3] (w:1, o:72, a:1, s:1, b:1),
% 3.74/4.15 alpha2 [67, 4] (w:1, o:83, a:1, s:1, b:1),
% 3.74/4.15 skol1 [68, 4] (w:1, o:84, a:1, s:1, b:1),
% 3.74/4.15 skol2 [69, 4] (w:1, o:86, a:1, s:1, b:1),
% 3.74/4.15 skol3 [70, 4] (w:1, o:88, a:1, s:1, b:1),
% 3.74/4.15 skol4 [71, 4] (w:1, o:89, a:1, s:1, b:1),
% 12.72/13.12 skol5 [72, 4] (w:1, o:90, a:1, s:1, b:1),
% 12.72/13.12 skol6 [73, 6] (w:1, o:96, a:1, s:1, b:1),
% 12.72/13.12 skol7 [74, 2] (w:1, o:66, a:1, s:1, b:1),
% 12.72/13.12 skol8 [75, 4] (w:1, o:91, a:1, s:1, b:1),
% 12.72/13.12 skol9 [76, 4] (w:1, o:92, a:1, s:1, b:1),
% 12.72/13.12 skol10 [77, 3] (w:1, o:73, a:1, s:1, b:1),
% 12.72/13.12 skol11 [78, 3] (w:1, o:74, a:1, s:1, b:1),
% 12.72/13.12 skol12 [79, 2] (w:1, o:67, a:1, s:1, b:1),
% 12.72/13.12 skol13 [80, 5] (w:1, o:93, a:1, s:1, b:1),
% 12.72/13.12 skol14 [81, 3] (w:1, o:75, a:1, s:1, b:1),
% 12.72/13.12 skol15 [82, 3] (w:1, o:76, a:1, s:1, b:1),
% 12.72/13.12 skol16 [83, 3] (w:1, o:77, a:1, s:1, b:1),
% 12.72/13.12 skol17 [84, 2] (w:1, o:68, a:1, s:1, b:1),
% 12.72/13.12 skol18 [85, 2] (w:1, o:69, a:1, s:1, b:1),
% 12.72/13.12 skol19 [86, 4] (w:1, o:85, a:1, s:1, b:1),
% 12.72/13.12 skol20 [87, 0] (w:1, o:26, a:1, s:1, b:1),
% 12.72/13.12 skol21 [88, 4] (w:1, o:87, a:1, s:1, b:1),
% 12.72/13.12 skol22 [89, 0] (w:1, o:27, a:1, s:1, b:1),
% 12.72/13.12 skol23 [90, 0] (w:1, o:28, a:1, s:1, b:1),
% 12.72/13.12 skol24 [91, 0] (w:1, o:29, a:1, s:1, b:1),
% 12.72/13.12 skol25 [92, 0] (w:1, o:30, a:1, s:1, b:1),
% 12.72/13.12 skol26 [93, 0] (w:1, o:31, a:1, s:1, b:1),
% 12.72/13.12 skol27 [94, 0] (w:1, o:32, a:1, s:1, b:1),
% 12.72/13.12 skol28 [95, 0] (w:1, o:33, a:1, s:1, b:1),
% 12.72/13.12 skol29 [96, 0] (w:1, o:34, a:1, s:1, b:1),
% 12.72/13.12 skol30 [97, 0] (w:1, o:35, a:1, s:1, b:1),
% 12.72/13.12 skol31 [98, 0] (w:1, o:36, a:1, s:1, b:1).
% 12.72/13.12
% 12.72/13.12
% 12.72/13.12 Starting Search:
% 12.72/13.12
% 12.72/13.12 *** allocated 15000 integers for clauses
% 12.72/13.12 *** allocated 22500 integers for clauses
% 12.72/13.12 *** allocated 33750 integers for clauses
% 12.72/13.12 *** allocated 50625 integers for clauses
% 12.72/13.12 *** allocated 22500 integers for termspace/termends
% 12.72/13.12 *** allocated 75937 integers for clauses
% 12.72/13.12 Resimplifying inuse:
% 12.72/13.12 Done
% 12.72/13.12
% 12.72/13.12 *** allocated 33750 integers for termspace/termends
% 12.72/13.12 *** allocated 113905 integers for clauses
% 12.72/13.12 *** allocated 50625 integers for termspace/termends
% 12.72/13.12
% 12.72/13.12 Intermediate Status:
% 12.72/13.12 Generated: 11430
% 12.72/13.12 Kept: 2003
% 12.72/13.12 Inuse: 321
% 12.72/13.12 Deleted: 0
% 12.72/13.12 Deletedinuse: 0
% 12.72/13.12
% 12.72/13.12 Resimplifying inuse:
% 12.72/13.12 Done
% 12.72/13.12
% 12.72/13.12 *** allocated 170857 integers for clauses
% 12.72/13.12 *** allocated 75937 integers for termspace/termends
% 12.72/13.12 Resimplifying inuse:
% 12.72/13.12 Done
% 12.72/13.12
% 12.72/13.12 *** allocated 256285 integers for clauses
% 12.72/13.12 *** allocated 113905 integers for termspace/termends
% 12.72/13.12
% 12.72/13.12 Intermediate Status:
% 12.72/13.12 Generated: 34265
% 12.72/13.12 Kept: 4006
% 12.72/13.12 Inuse: 470
% 12.72/13.12 Deleted: 1
% 12.72/13.12 Deletedinuse: 1
% 12.72/13.12
% 12.72/13.12 Resimplifying inuse:
% 12.72/13.12 Done
% 12.72/13.12
% 12.72/13.12 Resimplifying inuse:
% 12.72/13.12 Done
% 12.72/13.12
% 12.72/13.12 *** allocated 384427 integers for clauses
% 12.72/13.12 *** allocated 170857 integers for termspace/termends
% 12.72/13.12
% 12.72/13.12 Intermediate Status:
% 12.72/13.12 Generated: 46831
% 12.72/13.12 Kept: 6063
% 12.72/13.12 Inuse: 526
% 12.72/13.12 Deleted: 6
% 12.72/13.12 Deletedinuse: 1
% 12.72/13.12
% 12.72/13.12 Resimplifying inuse:
% 12.72/13.12 Done
% 12.72/13.12
% 12.72/13.12 Resimplifying inuse:
% 12.72/13.12 Done
% 12.72/13.12
% 12.72/13.12
% 12.72/13.12 Intermediate Status:
% 12.72/13.12 Generated: 61661
% 12.72/13.12 Kept: 8070
% 12.72/13.12 Inuse: 660
% 12.72/13.12 Deleted: 7
% 12.72/13.12 Deletedinuse: 1
% 12.72/13.12
% 12.72/13.12 *** allocated 576640 integers for clauses
% 12.72/13.12 Resimplifying inuse:
% 12.72/13.12 Done
% 12.72/13.12
% 12.72/13.12 *** allocated 256285 integers for termspace/termends
% 12.72/13.12 Resimplifying inuse:
% 12.72/13.12 Done
% 12.72/13.12
% 12.72/13.12
% 12.72/13.12 Intermediate Status:
% 12.72/13.12 Generated: 88591
% 12.72/13.12 Kept: 10193
% 12.72/13.12 Inuse: 764
% 12.72/13.12 Deleted: 10
% 12.72/13.12 Deletedinuse: 3
% 12.72/13.12
% 12.72/13.12 Resimplifying inuse:
% 12.72/13.12 Done
% 12.72/13.12
% 12.72/13.12 Resimplifying inuse:
% 12.72/13.12 Done
% 12.72/13.12
% 12.72/13.12
% 12.72/13.12 Intermediate Status:
% 12.72/13.12 Generated: 101286
% 12.72/13.12 Kept: 12196
% 12.72/13.12 Inuse: 852
% 12.72/13.12 Deleted: 12
% 12.72/13.12 Deletedinuse: 5
% 12.72/13.12
% 12.72/13.12 *** allocated 864960 integers for clauses
% 12.72/13.12 Resimplifying inuse:
% 12.72/13.12 Done
% 12.72/13.12
% 12.72/13.12 Resimplifying inuse:
% 12.72/13.12 Done
% 12.72/13.12
% 12.72/13.12
% 12.72/13.12 Intermediate Status:
% 12.72/13.12 Generated: 109312
% 12.72/13.12 Kept: 14203
% 12.72/13.12 Inuse: 875
% 12.72/13.12 Deleted: 12
% 12.72/13.12 Deletedinuse: 5
% 12.72/13.12
% 12.72/13.12 Resimplifying inuse:
% 12.72/13.12 Done
% 12.72/13.12
% 12.72/13.12 *** allocated 384427 integers for termspace/termends
% 12.72/13.12 Resimplifying inuse:
% 12.72/13.12 Done
% 12.72/13.12
% 12.72/13.12
% 12.72/13.12 Intermediate Status:
% 12.72/13.12 Generated: 120385
% 12.72/13.12 Kept: 16217
% 12.72/13.12 Inuse: 963
% 12.72/13.12 Deleted: 14
% 12.72/13.12 Deletedinuse: 5
% 12.72/13.12
% 12.72/13.12 Resimplifying inuse:
% 12.72/13.12 Done
% 12.72/13.12
% 12.72/13.12 Resimplifying inuse:
% 12.72/13.12 Done
% 12.72/13.12
% 12.72/13.12
% 12.72/13.12 Intermediate Status:
% 12.72/13.12 Generated: 133782
% 12.72/13.12 Kept: 18230
% 12.72/13.12 Inuse: 1065
% 12.72/13.12 Deleted: 14
% 12.72/13.12 Deletedinuse: 5
% 12.72/13.12
% 12.72/13.12 *** allocated 1297440 integers for clauses
% 12.72/13.12 Resimplifying inuse:
% 12.72/13.12 Done
% 12.72/13.12
% 12.72/13.12 Resimplifying clauses:
% 12.72/13.12 Done
% 12.72/13.12
% 12.72/13.12 Resimplifying inuse:
% 12.72/13.12 Done
% 12.72/13.12
% 12.72/13.12
% 12.72/13.12 Intermediate Status:
% 12.72/13.12 Generated: 145209
% 12.72/13.12 Kept: 20243
% 12.72/13.12 Inuse: 1164
% 12.72/13.12 Deleted: 1285
% 12.72/13.12 Deletedinuse: 9
% 12.72/13.12
% 12.72/13.12 Resimplifying inuse:
% 12.72/13.12 Done
% 12.72/13.12
% 12.72/13.12 Resimplifying inuse:
% 12.72/13.12 Done
% 12.72/13.12
% 12.72/13.12
% 12.72/13.12 Intermediate Status:
% 12.72/13.12 Generated: 158716
% 12.72/13.12 Kept: 22253
% 12.72/13.12 Inuse: 1284
% 12.72/13.12 Deleted: 1287
% 12.72/13.12 Deletedinuse: 9
% 12.72/13.12
% 12.72/13.12 Resimplifying inuse:
% 12.72/13.12 Done
% 12.72/13.12
% 12.72/13.12 Resimplifying inuse:
% 12.72/13.12 Done
% 12.72/13.12
% 12.72/13.12
% 12.72/13.12 Intermediate Status:
% 12.72/13.12 Generated: 172465
% 12.72/13.12 Kept: 24259
% 12.72/13.12 Inuse: 1425
% 12.72/13.12 Deleted: 1287
% 12.72/13.12 Deletedinuse: 9
% 12.72/13.12
% 12.72/13.12 Resimplifying inuse:
% 12.72/13.12 Done
% 12.72/13.12
% 12.72/13.12 Resimplifying inuse:
% 12.72/13.12 Done
% 12.72/13.12
% 12.72/13.12
% 12.72/13.12 Intermediate Status:
% 12.72/13.12 Generated: 184586
% 12.72/13.12 Kept: 26265
% 12.72/13.12 Inuse: 1537
% 12.72/13.12 Deleted: 1309
% 12.72/13.12 Deletedinuse: 31
% 12.72/13.12
% 12.72/13.12 *** allocated 576640 integers for termspace/termends
% 12.72/13.12 Resimplifying inuse:
% 12.72/13.12 Done
% 12.72/13.12
% 12.72/13.12 *** allocated 1946160 integers for clauses
% 12.72/13.12 Resimplifying inuse:
% 12.72/13.12 Done
% 12.72/13.12
% 12.72/13.12
% 12.72/13.12 Intermediate Status:
% 12.72/13.12 Generated: 205208
% 12.72/13.12 Kept: 28278
% 12.72/13.12 Inuse: 1723
% 12.72/13.12 Deleted: 1324
% 12.72/13.12 Deletedinuse: 45
% 12.72/13.12
% 12.72/13.12 Resimplifying inuse:
% 12.72/13.12 Done
% 12.72/13.12
% 12.72/13.12 Resimplifying inuse:
% 12.72/13.12 Done
% 12.72/13.12
% 12.72/13.12
% 12.72/13.12 Intermediate Status:
% 12.72/13.12 Generated: 224984
% 12.72/13.12 Kept: 30279
% 12.72/13.12 Inuse: 1918
% 12.72/13.12 Deleted: 1344
% 12.72/13.12 Deletedinuse: 65
% 12.72/13.12
% 12.72/13.12 Resimplifying inuse:
% 12.72/13.12 Done
% 12.72/13.12
% 12.72/13.12 Resimplifying inuse:
% 12.72/13.12 Done
% 12.72/13.12
% 12.72/13.12
% 12.72/13.12 Intermediate Status:
% 12.72/13.12 Generated: 241806
% 12.72/13.12 Kept: 32285
% 12.72/13.12 Inuse: 2081
% 12.72/13.12 Deleted: 1372
% 12.72/13.12 Deletedinuse: 93
% 12.72/13.12
% 12.72/13.12 Resimplifying inuse:
% 12.72/13.12 Done
% 12.72/13.12
% 12.72/13.12 Resimplifying inuse:
% 12.72/13.12 Done
% 12.72/13.12
% 12.72/13.12
% 12.72/13.12 Intermediate Status:
% 12.72/13.12 Generated: 261354
% 12.72/13.12 Kept: 34293
% 12.72/13.12 Inuse: 2268
% 12.72/13.12 Deleted: 1398
% 12.72/13.12 Deletedinuse: 119
% 12.72/13.12
% 12.72/13.12 Resimplifying inuse:
% 12.72/13.12 Done
% 12.72/13.12
% 12.72/13.12
% 12.72/13.12 Intermediate Status:
% 12.72/13.12 Generated: 281773
% 12.72/13.12 Kept: 38519
% 12.72/13.12 Inuse: 2430
% 12.72/13.12 Deleted: 1412
% 12.72/13.12 Deletedinuse: 133
% 12.72/13.12
% 12.72/13.12 Resimplifying inuse:
% 12.72/13.12 Done
% 12.72/13.12
% 12.72/13.12
% 12.72/13.12 Intermediate Status:
% 12.72/13.12 Generated: 291995
% 12.72/13.12 Kept: 42120
% 12.72/13.12 Inuse: 2489
% 12.72/13.12 Deleted: 1413
% 12.72/13.12 Deletedinuse: 133
% 12.72/13.12
% 12.72/13.12 Resimplifying inuse:
% 12.72/13.12 Done
% 12.72/13.12
% 12.72/13.12 Resimplifying clauses:
% 12.72/13.12 Done
% 12.72/13.12
% 12.72/13.12 *** allocated 864960 integers for termspace/termends
% 12.72/13.12 *** allocated 2919240 integers for clauses
% 12.72/13.12
% 12.72/13.12 Intermediate Status:
% 12.72/13.12 Generated: 302211
% 12.72/13.12 Kept: 45415
% 12.72/13.12 Inuse: 2501
% 12.72/13.12 Deleted: 4968
% 12.72/13.12 Deletedinuse: 137
% 12.72/13.12
% 12.72/13.12 Resimplifying inuse:
% 12.72/13.12 Done
% 12.72/13.12
% 12.72/13.12 Resimplifying inuse:
% 12.72/13.12 Done
% 12.72/13.12
% 12.72/13.12
% 12.72/13.12 Bliksems!, er is een bewijs:
% 12.72/13.12 % SZS status Theorem
% 12.72/13.12 % SZS output start Refutation
% 12.72/13.12
% 12.72/13.12 (0) {G0,W8,D2,L2,V3,M2} I { ! coll( X, Y, Z ), coll( X, Z, Y ) }.
% 12.72/13.12 (1) {G0,W8,D2,L2,V3,M2} I { ! coll( X, Y, Z ), coll( Y, X, Z ) }.
% 12.72/13.12 (2) {G0,W12,D2,L3,V4,M3} I { ! coll( X, T, Y ), ! coll( X, T, Z ), coll( Y
% 12.72/13.12 , Z, X ) }.
% 12.72/13.12 (3) {G0,W10,D2,L2,V4,M2} I { ! para( X, Y, Z, T ), para( X, Y, T, Z ) }.
% 12.72/13.12 (6) {G0,W10,D2,L2,V4,M2} I { ! perp( X, Y, Z, T ), perp( X, Y, T, Z ) }.
% 12.72/13.12 (7) {G0,W10,D2,L2,V4,M2} I { ! perp( X, Y, Z, T ), perp( Z, T, X, Y ) }.
% 12.72/13.12 (8) {G0,W15,D2,L3,V6,M3} I { ! perp( X, Y, U, W ), ! perp( U, W, Z, T ),
% 12.72/13.12 para( X, Y, Z, T ) }.
% 12.72/13.12 (13) {G0,W10,D2,L2,V4,M2} I { ! cyclic( X, Y, Z, T ), cyclic( X, Y, T, Z )
% 12.72/13.12 }.
% 12.72/13.12 (14) {G0,W10,D2,L2,V4,M2} I { ! cyclic( X, Y, Z, T ), cyclic( X, Z, Y, T )
% 12.72/13.12 }.
% 12.72/13.12 (15) {G0,W10,D2,L2,V4,M2} I { ! cyclic( X, Y, Z, T ), cyclic( Y, X, Z, T )
% 12.72/13.12 }.
% 12.72/13.12 (16) {G0,W15,D2,L3,V5,M3} I { ! cyclic( U, X, Y, Z ), ! cyclic( U, X, Y, T
% 12.72/13.12 ), cyclic( X, Y, Z, T ) }.
% 12.72/13.12 (18) {G0,W18,D2,L2,V8,M2} I { ! eqangle( X, Y, Z, T, U, W, V0, V1 ),
% 12.72/13.12 eqangle( Z, T, X, Y, V0, V1, U, W ) }.
% 12.72/13.12 (19) {G0,W18,D2,L2,V8,M2} I { ! eqangle( X, Y, Z, T, U, W, V0, V1 ),
% 12.72/13.12 eqangle( U, W, V0, V1, X, Y, Z, T ) }.
% 12.72/13.12 (20) {G0,W18,D2,L2,V8,M2} I { ! eqangle( X, Y, Z, T, U, W, V0, V1 ),
% 12.72/13.12 eqangle( X, Y, U, W, Z, T, V0, V1 ) }.
% 12.72/13.12 (21) {G0,W27,D2,L3,V12,M3} I { ! eqangle( X, Y, Z, T, V2, V3, V4, V5 ), !
% 12.72/13.12 eqangle( V2, V3, V4, V5, U, W, V0, V1 ), eqangle( X, Y, Z, T, U, W, V0,
% 12.72/13.12 V1 ) }.
% 12.72/13.12 (39) {G0,W14,D2,L2,V6,M2} I { ! para( X, Y, Z, T ), eqangle( X, Y, U, W, Z
% 12.72/13.12 , T, U, W ) }.
% 12.72/13.12 (40) {G0,W14,D2,L2,V4,M2} I { ! cyclic( X, Y, Z, T ), eqangle( Z, X, Z, Y,
% 12.72/13.12 T, X, T, Y ) }.
% 12.72/13.12 (42) {G0,W18,D2,L3,V4,M3} I { ! eqangle( Z, X, Z, Y, T, X, T, Y ), ! coll(
% 12.72/13.12 Z, T, Y ), cyclic( X, Y, Z, T ) }.
% 12.72/13.12 (43) {G0,W29,D2,L5,V6,M5} I { ! cyclic( X, Y, U, Z ), ! cyclic( X, Y, U, T
% 12.72/13.12 ), ! cyclic( X, Y, U, W ), ! eqangle( U, X, U, Y, W, Z, W, T ), cong( X
% 12.72/13.12 , Y, Z, T ) }.
% 12.72/13.12 (56) {G0,W15,D2,L3,V4,M3} I { ! cong( X, Z, Y, Z ), ! cong( X, T, Y, T ),
% 12.72/13.12 perp( X, Y, Z, T ) }.
% 12.72/13.12 (96) {G0,W14,D2,L3,V4,M3} I { ! perp( X, T, Y, Z ), ! perp( Y, T, X, Z ),
% 12.72/13.12 alpha1( X, Y, Z ) }.
% 12.72/13.12 (97) {G0,W11,D3,L2,V4,M2} I { ! alpha1( X, Y, Z ), coll( skol11( X, T, Z )
% 12.72/13.12 , Z, X ) }.
% 12.72/13.12 (100) {G0,W12,D3,L2,V4,M2} I { ! circle( Y, X, Z, T ), perp( skol12( X, Y )
% 12.72/13.12 , X, X, Y ) }.
% 12.72/13.12 (116) {G0,W5,D2,L1,V0,M1} I { circle( skol26, skol20, skol22, skol23 ) }.
% 12.72/13.12 (126) {G0,W9,D2,L1,V0,M1} I { ! eqangle( skol20, skol25, skol25, skol22,
% 12.72/13.12 skol22, skol23, skol23, skol24 ) }.
% 12.72/13.12 (205) {G1,W12,D2,L3,V4,M3} R(2,0) { ! coll( X, Y, Z ), ! coll( X, Y, T ),
% 12.72/13.12 coll( Z, X, T ) }.
% 12.72/13.12 (216) {G2,W8,D2,L2,V3,M2} F(205) { ! coll( X, Y, Z ), coll( Z, X, Z ) }.
% 12.72/13.12 (290) {G1,W15,D2,L3,V6,M3} R(8,7) { ! perp( X, Y, Z, T ), para( U, W, Z, T
% 12.72/13.12 ), ! perp( X, Y, U, W ) }.
% 12.72/13.12 (291) {G1,W15,D2,L3,V6,M3} R(8,7) { ! perp( X, Y, Z, T ), para( X, Y, U, W
% 12.72/13.12 ), ! perp( U, W, Z, T ) }.
% 12.72/13.12 (299) {G2,W10,D2,L2,V4,M2} F(291) { ! perp( X, Y, Z, T ), para( X, Y, X, Y
% 12.72/13.12 ) }.
% 12.72/13.12 (361) {G3,W12,D2,L3,V4,M3} R(216,2) { coll( X, Y, X ), ! coll( X, Z, Y ), !
% 12.72/13.12 coll( X, Z, T ) }.
% 12.72/13.12 (378) {G4,W8,D2,L2,V3,M2} F(361) { coll( X, Y, X ), ! coll( X, Z, Y ) }.
% 12.72/13.12 (404) {G1,W10,D2,L2,V4,M2} R(14,13) { ! cyclic( X, Y, Z, T ), cyclic( X, Z
% 12.72/13.12 , T, Y ) }.
% 12.72/13.12 (412) {G1,W10,D2,L2,V4,M2} R(15,14) { cyclic( X, Y, Z, T ), ! cyclic( Y, Z
% 12.72/13.12 , X, T ) }.
% 12.72/13.12 (414) {G1,W10,D2,L2,V4,M2} R(15,13) { cyclic( X, Y, Z, T ), ! cyclic( Y, X
% 12.72/13.12 , T, Z ) }.
% 12.72/13.12 (432) {G1,W15,D2,L3,V5,M3} R(16,15) { ! cyclic( X, Y, Z, T ), ! cyclic( X,
% 12.72/13.12 Y, Z, U ), cyclic( Z, Y, T, U ) }.
% 12.72/13.12 (437) {G1,W15,D2,L3,V5,M3} R(16,13) { ! cyclic( X, Y, Z, T ), cyclic( Y, Z
% 12.72/13.12 , T, U ), ! cyclic( X, Y, U, Z ) }.
% 12.72/13.12 (441) {G2,W10,D2,L2,V4,M2} F(432) { ! cyclic( X, Y, Z, T ), cyclic( Z, Y, T
% 12.72/13.12 , T ) }.
% 12.72/13.12 (480) {G1,W18,D2,L2,V8,M2} R(20,19) { ! eqangle( X, Y, Z, T, U, W, V0, V1 )
% 12.72/13.12 , eqangle( Z, T, V0, V1, X, Y, U, W ) }.
% 12.72/13.12 (723) {G5,W8,D2,L2,V3,M2} R(378,1) { ! coll( X, Y, Z ), coll( Z, X, X ) }.
% 12.72/13.12 (737) {G6,W8,D2,L2,V3,M2} R(723,1) { coll( X, Y, Y ), ! coll( Z, Y, X ) }.
% 12.72/13.12 (738) {G6,W8,D2,L2,V3,M2} R(723,0) { coll( X, Y, Y ), ! coll( Y, X, Z ) }.
% 12.72/13.12 (742) {G7,W8,D2,L2,V3,M2} R(738,738) { ! coll( X, Y, Z ), coll( X, Y, Y )
% 12.72/13.12 }.
% 12.72/13.12 (746) {G1,W23,D2,L3,V10,M3} R(39,21) { ! para( X, Y, Z, T ), ! eqangle( Z,
% 12.72/13.12 T, U, W, V0, V1, V2, V3 ), eqangle( X, Y, U, W, V0, V1, V2, V3 ) }.
% 12.72/13.12 (750) {G1,W14,D2,L2,V6,M2} R(39,18) { ! para( X, Y, Z, T ), eqangle( U, W,
% 12.72/13.12 X, Y, U, W, Z, T ) }.
% 12.72/13.12 (754) {G1,W14,D2,L2,V6,M2} R(39,3) { eqangle( X, Y, Z, T, U, W, Z, T ), !
% 12.72/13.12 para( X, Y, W, U ) }.
% 12.72/13.12 (756) {G8,W12,D2,L3,V4,M3} R(742,2) { ! coll( X, Y, Z ), ! coll( X, Y, T )
% 12.72/13.12 , coll( T, Y, X ) }.
% 12.72/13.12 (757) {G9,W8,D2,L2,V3,M2} F(756) { ! coll( X, Y, Z ), coll( Z, Y, X ) }.
% 12.72/13.12 (761) {G10,W8,D2,L2,V3,M2} R(757,737) { coll( X, X, Y ), ! coll( Z, X, Y )
% 12.72/13.12 }.
% 12.72/13.12 (1001) {G1,W20,D2,L4,V4,M4} R(43,40);f { ! cyclic( X, Y, Z, X ), ! cyclic(
% 12.72/13.12 X, Y, Z, Y ), ! cyclic( X, Y, Z, T ), cong( X, Y, X, Y ) }.
% 12.72/13.12 (1033) {G2,W15,D2,L3,V3,M3} F(1001) { ! cyclic( X, Y, Z, X ), ! cyclic( X,
% 12.72/13.12 Y, Z, Y ), cong( X, Y, X, Y ) }.
% 12.72/13.12 (4336) {G11,W8,D2,L2,V3,M2} R(97,761) { ! alpha1( X, Y, Z ), coll( Z, Z, X
% 12.72/13.12 ) }.
% 12.72/13.12 (4836) {G1,W7,D3,L1,V0,M1} R(100,116) { perp( skol12( skol20, skol26 ),
% 12.72/13.12 skol20, skol20, skol26 ) }.
% 12.72/13.12 (4854) {G2,W7,D3,L1,V0,M1} R(4836,7) { perp( skol20, skol26, skol12( skol20
% 12.72/13.12 , skol26 ), skol20 ) }.
% 12.72/13.12 (4865) {G3,W7,D3,L1,V0,M1} R(4854,6) { perp( skol20, skol26, skol20, skol12
% 12.72/13.12 ( skol20, skol26 ) ) }.
% 12.72/13.12 (4875) {G4,W7,D3,L1,V0,M1} R(4865,7) { perp( skol20, skol12( skol20, skol26
% 12.72/13.12 ), skol20, skol26 ) }.
% 12.72/13.12 (5040) {G5,W4,D2,L1,V0,M1} R(4875,96);r(4875) { alpha1( skol20, skol20,
% 12.72/13.12 skol26 ) }.
% 12.72/13.12 (5048) {G5,W7,D3,L1,V0,M1} R(4875,6) { perp( skol20, skol12( skol20, skol26
% 12.72/13.12 ), skol26, skol20 ) }.
% 12.72/13.12 (5217) {G12,W4,D2,L1,V0,M1} R(5040,4336) { coll( skol26, skol26, skol20 )
% 12.72/13.12 }.
% 12.72/13.12 (5404) {G13,W14,D2,L2,V1,M2} R(5217,42) { ! eqangle( skol26, X, skol26,
% 12.72/13.12 skol20, skol26, X, skol26, skol20 ), cyclic( X, skol20, skol26, skol26 )
% 12.72/13.12 }.
% 12.72/13.12 (6434) {G6,W7,D3,L1,V0,M1} R(5048,7) { perp( skol26, skol20, skol20, skol12
% 12.72/13.12 ( skol20, skol26 ) ) }.
% 12.72/13.12 (6663) {G7,W7,D3,L1,V0,M1} R(6434,6) { perp( skol26, skol20, skol12( skol20
% 12.72/13.12 , skol26 ), skol20 ) }.
% 12.72/13.12 (21878) {G8,W5,D2,L1,V0,M1} R(299,6663) { para( skol26, skol20, skol26,
% 12.72/13.12 skol20 ) }.
% 12.72/13.12 (39004) {G9,W9,D2,L1,V2,M1} R(750,21878) { eqangle( X, Y, skol26, skol20, X
% 12.72/13.12 , Y, skol26, skol20 ) }.
% 12.72/13.12 (42120) {G14,W5,D2,L1,V1,M1} S(5404);r(39004) { cyclic( X, skol20, skol26,
% 12.72/13.12 skol26 ) }.
% 12.72/13.12 (42149) {G15,W5,D2,L1,V1,M1} R(42120,414) { cyclic( skol20, X, skol26,
% 12.72/13.12 skol26 ) }.
% 12.72/13.12 (42158) {G16,W5,D2,L1,V1,M1} R(42149,441) { cyclic( skol26, X, skol26,
% 12.72/13.12 skol26 ) }.
% 12.72/13.12 (42430) {G17,W5,D2,L1,V1,M1} R(42158,412) { cyclic( skol26, skol26, X,
% 12.72/13.12 skol26 ) }.
% 12.72/13.12 (42431) {G17,W5,D2,L1,V1,M1} R(42158,404) { cyclic( skol26, skol26, skol26
% 12.72/13.12 , X ) }.
% 12.72/13.12 (42434) {G18,W5,D2,L1,V2,M1} R(42430,437);r(42431) { cyclic( skol26, skol26
% 12.72/13.12 , X, Y ) }.
% 12.72/13.12 (42453) {G19,W5,D2,L1,V3,M1} R(42434,437);r(42434) { cyclic( skol26, X, Y,
% 12.72/13.12 Z ) }.
% 12.72/13.12 (42468) {G20,W5,D2,L1,V4,M1} R(42453,437);r(42453) { cyclic( X, Y, Z, T )
% 12.72/13.12 }.
% 12.72/13.12 (46429) {G21,W5,D2,L1,V2,M1} S(1033);r(42468);r(42468) { cong( X, Y, X, Y )
% 12.72/13.12 }.
% 12.72/13.12 (46441) {G22,W5,D2,L1,V3,M1} R(46429,56);r(46429) { perp( X, X, Z, Y ) }.
% 12.72/13.12 (46470) {G23,W5,D2,L1,V4,M1} R(46441,290);r(46441) { para( X, Y, Z, T ) }.
% 12.72/13.12 (46486) {G24,W9,D2,L1,V6,M1} R(46470,754) { eqangle( X, Y, Z, T, U, W, Z, T
% 12.72/13.12 ) }.
% 12.72/13.12 (46877) {G25,W9,D2,L1,V6,M1} R(46486,480) { eqangle( X, Y, X, Y, Z, T, U, W
% 12.72/13.12 ) }.
% 12.72/13.12 (46881) {G26,W9,D2,L1,V8,M1} R(46877,746);r(46470) { eqangle( X, Y, Z, T, U
% 12.72/13.12 , W, V0, V1 ) }.
% 12.72/13.12 (46882) {G27,W0,D0,L0,V0,M0} R(46881,126) { }.
% 12.72/13.12
% 12.72/13.12
% 12.72/13.12 % SZS output end Refutation
% 12.72/13.12 found a proof!
% 12.72/13.12
% 12.72/13.12
% 12.72/13.12 Unprocessed initial clauses:
% 12.72/13.12
% 12.72/13.12 (46884) {G0,W8,D2,L2,V3,M2} { ! coll( X, Y, Z ), coll( X, Z, Y ) }.
% 12.72/13.12 (46885) {G0,W8,D2,L2,V3,M2} { ! coll( X, Y, Z ), coll( Y, X, Z ) }.
% 12.72/13.12 (46886) {G0,W12,D2,L3,V4,M3} { ! coll( X, T, Y ), ! coll( X, T, Z ), coll
% 12.72/13.12 ( Y, Z, X ) }.
% 12.72/13.12 (46887) {G0,W10,D2,L2,V4,M2} { ! para( X, Y, Z, T ), para( X, Y, T, Z )
% 12.72/13.12 }.
% 12.72/13.12 (46888) {G0,W10,D2,L2,V4,M2} { ! para( X, Y, Z, T ), para( Z, T, X, Y )
% 12.72/13.12 }.
% 12.72/13.12 (46889) {G0,W15,D2,L3,V6,M3} { ! para( X, Y, U, W ), ! para( U, W, Z, T )
% 12.72/13.12 , para( X, Y, Z, T ) }.
% 12.72/13.12 (46890) {G0,W10,D2,L2,V4,M2} { ! perp( X, Y, Z, T ), perp( X, Y, T, Z )
% 12.72/13.12 }.
% 12.72/13.12 (46891) {G0,W10,D2,L2,V4,M2} { ! perp( X, Y, Z, T ), perp( Z, T, X, Y )
% 12.72/13.12 }.
% 12.72/13.12 (46892) {G0,W15,D2,L3,V6,M3} { ! perp( X, Y, U, W ), ! perp( U, W, Z, T )
% 12.72/13.12 , para( X, Y, Z, T ) }.
% 12.72/13.12 (46893) {G0,W15,D2,L3,V6,M3} { ! para( X, Y, U, W ), ! perp( U, W, Z, T )
% 12.72/13.12 , perp( X, Y, Z, T ) }.
% 12.72/13.12 (46894) {G0,W8,D2,L2,V3,M2} { ! midp( Z, Y, X ), midp( Z, X, Y ) }.
% 12.72/13.12 (46895) {G0,W15,D2,L3,V4,M3} { ! cong( T, X, T, Y ), ! cong( T, X, T, Z )
% 12.72/13.12 , circle( T, X, Y, Z ) }.
% 12.72/13.12 (46896) {G0,W20,D2,L4,V5,M4} { ! cong( U, X, U, Y ), ! cong( U, X, U, Z )
% 12.72/13.12 , ! cong( U, X, U, T ), cyclic( X, Y, Z, T ) }.
% 12.72/13.12 (46897) {G0,W10,D2,L2,V4,M2} { ! cyclic( X, Y, Z, T ), cyclic( X, Y, T, Z
% 12.72/13.12 ) }.
% 12.72/13.12 (46898) {G0,W10,D2,L2,V4,M2} { ! cyclic( X, Y, Z, T ), cyclic( X, Z, Y, T
% 12.72/13.12 ) }.
% 12.72/13.12 (46899) {G0,W10,D2,L2,V4,M2} { ! cyclic( X, Y, Z, T ), cyclic( Y, X, Z, T
% 12.72/13.12 ) }.
% 12.72/13.12 (46900) {G0,W15,D2,L3,V5,M3} { ! cyclic( U, X, Y, Z ), ! cyclic( U, X, Y,
% 12.72/13.12 T ), cyclic( X, Y, Z, T ) }.
% 12.72/13.12 (46901) {G0,W18,D2,L2,V8,M2} { ! eqangle( X, Y, Z, T, U, W, V0, V1 ),
% 12.72/13.12 eqangle( Y, X, Z, T, U, W, V0, V1 ) }.
% 12.72/13.12 (46902) {G0,W18,D2,L2,V8,M2} { ! eqangle( X, Y, Z, T, U, W, V0, V1 ),
% 12.72/13.12 eqangle( Z, T, X, Y, V0, V1, U, W ) }.
% 12.72/13.12 (46903) {G0,W18,D2,L2,V8,M2} { ! eqangle( X, Y, Z, T, U, W, V0, V1 ),
% 12.72/13.12 eqangle( U, W, V0, V1, X, Y, Z, T ) }.
% 12.72/13.12 (46904) {G0,W18,D2,L2,V8,M2} { ! eqangle( X, Y, Z, T, U, W, V0, V1 ),
% 12.72/13.12 eqangle( X, Y, U, W, Z, T, V0, V1 ) }.
% 12.72/13.12 (46905) {G0,W27,D2,L3,V12,M3} { ! eqangle( X, Y, Z, T, V2, V3, V4, V5 ), !
% 12.72/13.12 eqangle( V2, V3, V4, V5, U, W, V0, V1 ), eqangle( X, Y, Z, T, U, W, V0,
% 12.72/13.12 V1 ) }.
% 12.72/13.12 (46906) {G0,W10,D2,L2,V4,M2} { ! cong( X, Y, Z, T ), cong( X, Y, T, Z )
% 12.72/13.12 }.
% 12.72/13.12 (46907) {G0,W10,D2,L2,V4,M2} { ! cong( X, Y, Z, T ), cong( Z, T, X, Y )
% 12.72/13.12 }.
% 12.72/13.12 (46908) {G0,W15,D2,L3,V6,M3} { ! cong( X, Y, U, W ), ! cong( U, W, Z, T )
% 12.72/13.12 , cong( X, Y, Z, T ) }.
% 12.72/13.12 (46909) {G0,W18,D2,L2,V8,M2} { ! eqratio( X, Y, Z, T, U, W, V0, V1 ),
% 12.72/13.12 eqratio( Y, X, Z, T, U, W, V0, V1 ) }.
% 12.72/13.12 (46910) {G0,W18,D2,L2,V8,M2} { ! eqratio( X, Y, Z, T, U, W, V0, V1 ),
% 12.72/13.12 eqratio( Z, T, X, Y, V0, V1, U, W ) }.
% 12.72/13.12 (46911) {G0,W18,D2,L2,V8,M2} { ! eqratio( X, Y, Z, T, U, W, V0, V1 ),
% 12.72/13.12 eqratio( U, W, V0, V1, X, Y, Z, T ) }.
% 12.72/13.12 (46912) {G0,W18,D2,L2,V8,M2} { ! eqratio( X, Y, Z, T, U, W, V0, V1 ),
% 12.72/13.12 eqratio( X, Y, U, W, Z, T, V0, V1 ) }.
% 12.72/13.12 (46913) {G0,W27,D2,L3,V12,M3} { ! eqratio( X, Y, Z, T, V2, V3, V4, V5 ), !
% 12.72/13.12 eqratio( V2, V3, V4, V5, U, W, V0, V1 ), eqratio( X, Y, Z, T, U, W, V0,
% 12.72/13.12 V1 ) }.
% 12.72/13.12 (46914) {G0,W14,D2,L2,V6,M2} { ! simtri( X, Z, Y, T, W, U ), simtri( X, Y
% 12.72/13.12 , Z, T, U, W ) }.
% 12.72/13.12 (46915) {G0,W14,D2,L2,V6,M2} { ! simtri( Y, X, Z, U, T, W ), simtri( X, Y
% 12.72/13.12 , Z, T, U, W ) }.
% 12.72/13.12 (46916) {G0,W14,D2,L2,V6,M2} { ! simtri( T, U, W, X, Y, Z ), simtri( X, Y
% 12.72/13.12 , Z, T, U, W ) }.
% 12.72/13.12 (46917) {G0,W21,D2,L3,V9,M3} { ! simtri( X, Y, Z, V0, V1, V2 ), ! simtri(
% 12.72/13.12 V0, V1, V2, T, U, W ), simtri( X, Y, Z, T, U, W ) }.
% 12.72/13.12 (46918) {G0,W14,D2,L2,V6,M2} { ! contri( X, Z, Y, T, W, U ), contri( X, Y
% 12.72/13.12 , Z, T, U, W ) }.
% 12.72/13.12 (46919) {G0,W14,D2,L2,V6,M2} { ! contri( Y, X, Z, U, T, W ), contri( X, Y
% 12.72/13.12 , Z, T, U, W ) }.
% 12.72/13.12 (46920) {G0,W14,D2,L2,V6,M2} { ! contri( T, U, W, X, Y, Z ), contri( X, Y
% 12.72/13.12 , Z, T, U, W ) }.
% 12.72/13.12 (46921) {G0,W21,D2,L3,V9,M3} { ! contri( X, Y, Z, V0, V1, V2 ), ! contri(
% 12.72/13.12 V0, V1, V2, T, U, W ), contri( X, Y, Z, T, U, W ) }.
% 12.72/13.12 (46922) {G0,W14,D2,L2,V6,M2} { ! eqangle( X, Y, U, W, Z, T, U, W ), para(
% 12.72/13.12 X, Y, Z, T ) }.
% 12.72/13.12 (46923) {G0,W14,D2,L2,V6,M2} { ! para( X, Y, Z, T ), eqangle( X, Y, U, W,
% 12.72/13.12 Z, T, U, W ) }.
% 12.72/13.12 (46924) {G0,W14,D2,L2,V4,M2} { ! cyclic( X, Y, Z, T ), eqangle( Z, X, Z, Y
% 12.72/13.12 , T, X, T, Y ) }.
% 12.72/13.12 (46925) {G0,W18,D2,L3,V4,M3} { ! eqangle( Z, X, Z, Y, T, X, T, Y ), coll(
% 12.72/13.12 Z, T, X ), cyclic( X, Y, Z, T ) }.
% 12.72/13.12 (46926) {G0,W18,D2,L3,V4,M3} { ! eqangle( Z, X, Z, Y, T, X, T, Y ), ! coll
% 12.72/13.12 ( Z, T, Y ), cyclic( X, Y, Z, T ) }.
% 12.72/13.12 (46927) {G0,W29,D2,L5,V6,M5} { ! cyclic( X, Y, U, Z ), ! cyclic( X, Y, U,
% 12.72/13.12 T ), ! cyclic( X, Y, U, W ), ! eqangle( U, X, U, Y, W, Z, W, T ), cong( X
% 12.72/13.12 , Y, Z, T ) }.
% 12.72/13.12 (46928) {G0,W13,D2,L3,V5,M3} { ! midp( Z, U, X ), ! midp( T, U, Y ), para
% 12.72/13.12 ( Z, T, X, Y ) }.
% 12.72/13.12 (46929) {G0,W17,D2,L4,V5,M4} { ! midp( U, X, T ), ! para( U, Z, T, Y ), !
% 12.72/13.12 coll( Z, X, Y ), midp( Z, X, Y ) }.
% 12.72/13.12 (46930) {G0,W14,D2,L2,V3,M2} { ! cong( Z, X, Z, Y ), eqangle( Z, X, X, Y,
% 12.72/13.12 X, Y, Z, Y ) }.
% 12.72/13.12 (46931) {G0,W18,D2,L3,V3,M3} { ! eqangle( Z, X, X, Y, X, Y, Z, Y ), coll(
% 12.72/13.12 Z, X, Y ), cong( Z, X, Z, Y ) }.
% 12.72/13.12 (46932) {G0,W19,D2,L3,V5,M3} { ! circle( U, X, Y, Z ), ! perp( U, X, X, T
% 12.72/13.12 ), eqangle( X, T, X, Y, Z, X, Z, Y ) }.
% 12.72/13.12 (46933) {G0,W19,D2,L3,V5,M3} { ! circle( Y, X, T, U ), ! eqangle( X, Z, X
% 12.72/13.12 , T, U, X, U, T ), perp( Y, X, X, Z ) }.
% 12.72/13.12 (46934) {G0,W18,D2,L3,V5,M3} { ! circle( T, X, Y, Z ), ! midp( U, Y, Z ),
% 12.72/13.12 eqangle( X, Y, X, Z, T, Y, T, U ) }.
% 12.72/13.12 (46935) {G0,W22,D2,L4,V5,M4} { ! circle( U, T, X, Y ), ! coll( Z, X, Y ),
% 12.72/13.12 ! eqangle( T, X, T, Y, U, X, U, Z ), midp( Z, X, Y ) }.
% 12.72/13.12 (46936) {G0,W14,D2,L3,V4,M3} { ! perp( X, Y, Y, T ), ! midp( Z, X, T ),
% 12.72/13.12 cong( X, Z, Y, Z ) }.
% 12.72/13.12 (46937) {G0,W14,D2,L3,V4,M3} { ! circle( T, X, Y, Z ), ! coll( T, X, Z ),
% 12.72/13.12 perp( X, Y, Y, Z ) }.
% 12.72/13.12 (46938) {G0,W19,D2,L3,V4,M3} { ! cyclic( X, Y, Z, T ), ! para( X, Y, Z, T
% 12.72/13.12 ), eqangle( X, T, Z, T, Z, T, Z, Y ) }.
% 12.72/13.12 (46939) {G0,W14,D2,L3,V4,M3} { ! midp( T, X, Y ), ! perp( Z, T, X, Y ),
% 12.72/13.12 cong( Z, X, Z, Y ) }.
% 12.72/13.12 (46940) {G0,W15,D2,L3,V4,M3} { ! cong( X, Z, Y, Z ), ! cong( X, T, Y, T )
% 12.72/13.12 , perp( X, Y, Z, T ) }.
% 12.72/13.12 (46941) {G0,W20,D2,L4,V4,M4} { ! cong( X, Y, T, Y ), ! cong( X, Z, T, Z )
% 12.72/13.12 , ! cyclic( X, T, Y, Z ), perp( Y, X, X, Z ) }.
% 12.72/13.12 (46942) {G0,W29,D2,L4,V6,M4} { ! eqangle( X, Y, Y, Z, T, U, U, W ), !
% 12.72/13.12 eqangle( X, Z, Y, Z, T, W, U, W ), coll( X, Y, Z ), simtri( X, Y, Z, T, U
% 12.72/13.12 , W ) }.
% 12.72/13.12 (46943) {G0,W16,D2,L2,V6,M2} { ! simtri( X, Y, Z, T, U, W ), eqratio( X, Y
% 12.72/13.12 , X, Z, T, U, T, W ) }.
% 12.72/13.12 (46944) {G0,W16,D2,L2,V6,M2} { ! simtri( X, Y, Z, T, U, W ), eqangle( X, Y
% 12.72/13.12 , Y, Z, T, U, U, W ) }.
% 12.72/13.12 (46945) {G0,W19,D2,L3,V6,M3} { ! simtri( X, Y, Z, T, U, W ), ! cong( X, Y
% 12.72/13.12 , T, U ), contri( X, Y, Z, T, U, W ) }.
% 12.72/13.12 (46946) {G0,W12,D2,L2,V6,M2} { ! contri( X, Y, U, Z, T, W ), cong( X, Y, Z
% 12.72/13.12 , T ) }.
% 12.72/13.12 (46947) {G0,W13,D2,L3,V5,M3} { ! midp( U, X, Y ), ! midp( U, Z, T ), para
% 12.72/13.12 ( X, Z, Y, T ) }.
% 12.72/13.12 (46948) {G0,W18,D2,L4,V5,M4} { ! midp( Z, T, U ), ! para( T, X, U, Y ), !
% 12.72/13.12 para( T, Y, U, X ), midp( Z, X, Y ) }.
% 12.72/13.12 (46949) {G0,W22,D2,L4,V5,M4} { ! para( X, Y, Z, T ), ! coll( U, X, Z ), !
% 12.72/13.12 coll( U, Y, T ), eqratio( U, X, X, Z, U, Y, Y, T ) }.
% 12.72/13.12 (46950) {G0,W9,D2,L2,V3,M2} { ! para( X, Y, X, Z ), coll( X, Y, Z ) }.
% 12.72/13.12 (46951) {G0,W13,D2,L3,V3,M3} { ! cong( X, Y, X, Z ), ! coll( X, Y, Z ),
% 12.72/13.12 midp( X, Y, Z ) }.
% 12.72/13.12 (46952) {G0,W9,D2,L2,V3,M2} { ! midp( X, Y, Z ), cong( X, Y, X, Z ) }.
% 12.72/13.12 (46953) {G0,W8,D2,L2,V3,M2} { ! midp( X, Y, Z ), coll( X, Y, Z ) }.
% 12.72/13.12 (46954) {G0,W17,D2,L3,V6,M3} { ! midp( U, X, Y ), ! midp( W, Z, T ),
% 12.72/13.12 eqratio( U, X, X, Y, W, Z, Z, T ) }.
% 12.72/13.12 (46955) {G0,W19,D2,L3,V4,M3} { ! eqangle( X, Y, Z, T, Z, T, X, Y ), para(
% 12.72/13.12 X, Y, Z, T ), perp( X, Y, Z, T ) }.
% 12.72/13.12 (46956) {G0,W19,D2,L3,V4,M3} { ! eqangle( X, Y, Z, T, Z, T, X, Y ), perp(
% 12.72/13.12 X, Y, Z, T ), para( X, Y, Z, T ) }.
% 12.72/13.12 (46957) {G0,W19,D2,L3,V8,M3} { ! eqangle( X, Y, Z, T, U, W, V0, V1 ), !
% 12.72/13.12 para( U, W, V0, V1 ), para( X, Y, Z, T ) }.
% 12.72/13.12 (46958) {G0,W19,D2,L3,V8,M3} { ! eqangle( X, Y, Z, T, U, W, V0, V1 ), !
% 12.72/13.12 perp( U, W, V0, V1 ), perp( X, Y, Z, T ) }.
% 12.72/13.12 (46959) {G0,W19,D2,L3,V8,M3} { ! eqratio( X, Y, Z, T, U, W, V0, V1 ), !
% 12.72/13.12 cong( U, W, V0, V1 ), cong( X, Y, Z, T ) }.
% 12.72/13.12 (46960) {G0,W22,D3,L3,V6,M3} { ! perp( Z, Y, Y, X ), ! eqangle( T, Z, Y, Z
% 12.72/13.12 , Y, Z, X, Z ), coll( skol1( U, W, Z, T ), Z, T ) }.
% 12.72/13.12 (46961) {G0,W22,D3,L3,V4,M3} { ! perp( Z, Y, Y, X ), ! eqangle( T, Z, Y, Z
% 12.72/13.12 , Y, Z, X, Z ), coll( skol1( X, Y, Z, T ), X, Y ) }.
% 12.72/13.12 (46962) {G0,W22,D3,L3,V6,M3} { ! cong( Z, X, Z, Y ), ! eqangle( X, Z, Z, T
% 12.72/13.12 , Z, T, Z, Y ), coll( skol2( U, W, Z, T ), Z, T ) }.
% 12.72/13.12 (46963) {G0,W22,D3,L3,V4,M3} { ! cong( Z, X, Z, Y ), ! eqangle( X, Z, Z, T
% 12.72/13.12 , Z, T, Z, Y ), coll( Y, X, skol2( X, Y, Z, T ) ) }.
% 12.72/13.12 (46964) {G0,W22,D3,L3,V6,M3} { ! perp( Z, T, X, Y ), ! eqangle( X, Z, Z, T
% 12.72/13.12 , Z, T, Z, Y ), coll( skol3( U, W, Z, T ), Z, T ) }.
% 12.72/13.12 (46965) {G0,W22,D3,L3,V4,M3} { ! perp( Z, T, X, Y ), ! eqangle( X, Z, Z, T
% 12.72/13.12 , Z, T, Z, Y ), coll( Y, X, skol3( X, Y, Z, T ) ) }.
% 12.72/13.12 (46966) {G0,W18,D3,L3,V6,M3} { ! perp( Z, T, X, Y ), ! cong( Z, X, Z, Y )
% 12.72/13.12 , coll( skol4( U, W, Z, T ), Z, T ) }.
% 12.72/13.12 (46967) {G0,W18,D3,L3,V4,M3} { ! perp( Z, T, X, Y ), ! cong( Z, X, Z, Y )
% 12.72/13.12 , coll( Y, X, skol4( X, Y, Z, T ) ) }.
% 12.72/13.12 (46968) {G0,W22,D3,L3,V6,M3} { ! eqangle( X, Z, Y, Z, X, T, Y, U ), coll(
% 12.72/13.12 X, Y, Z ), cyclic( T, Y, Z, skol5( W, Y, Z, T ) ) }.
% 12.72/13.12 (46969) {G0,W30,D3,L3,V5,M3} { ! eqangle( X, Z, Y, Z, X, T, Y, U ), coll(
% 12.72/13.12 X, Y, Z ), eqangle( X, Z, Y, Z, X, skol5( X, Y, Z, T ), Y, skol5( X, Y, Z
% 12.72/13.12 , T ) ) }.
% 12.72/13.12 (46970) {G0,W18,D3,L3,V10,M3} { ! midp( U, X, Y ), ! midp( W, Z, T ), midp
% 12.72/13.12 ( skol6( X, V0, V1, T, V2, V3 ), X, T ) }.
% 12.72/13.12 (46971) {G0,W19,D3,L3,V8,M3} { ! midp( U, X, Y ), ! midp( W, Z, T ), para
% 12.72/13.12 ( skol6( X, V0, Z, T, V1, W ), W, X, Z ) }.
% 12.72/13.12 (46972) {G0,W19,D3,L3,V6,M3} { ! midp( U, X, Y ), ! midp( W, Z, T ), para
% 12.72/13.12 ( skol6( X, Y, Z, T, U, W ), U, Y, T ) }.
% 12.72/13.12 (46973) {G0,W22,D3,L5,V7,M5} { ! midp( Z, X, Y ), ! midp( W, T, U ), !
% 12.72/13.12 coll( T, X, Y ), ! coll( U, X, Y ), midp( skol7( X, V0 ), X, V0 ) }.
% 12.72/13.12 (46974) {G0,W26,D3,L5,V8,M5} { ! midp( T, X, U ), ! para( X, W, Z, T ), !
% 12.72/13.12 para( X, W, U, Y ), ! coll( W, Y, Z ), coll( skol8( V0, V1, Z, T ), T, Z
% 12.72/13.12 ) }.
% 12.72/13.12 (46975) {G0,W26,D3,L5,V6,M5} { ! midp( T, X, U ), ! para( X, W, Z, T ), !
% 12.72/13.12 para( X, W, U, Y ), ! coll( W, Y, Z ), coll( skol8( X, Y, Z, T ), X, Y )
% 12.72/13.12 }.
% 12.72/13.12 (46976) {G0,W19,D3,L3,V7,M3} { ! cong( T, Z, T, U ), ! perp( X, Y, Y, T )
% 12.72/13.12 , cong( T, Z, T, skol9( W, V0, Z, T ) ) }.
% 12.72/13.12 (46977) {G0,W19,D3,L3,V6,M3} { ! cong( T, Z, T, U ), ! perp( X, Y, Y, T )
% 12.72/13.12 , cong( Y, Z, Y, skol9( W, Y, Z, T ) ) }.
% 12.72/13.12 (46978) {G0,W19,D3,L3,V5,M3} { ! cong( T, Z, T, U ), ! perp( X, Y, Y, T )
% 12.72/13.12 , para( skol9( X, Y, Z, T ), Z, X, Y ) }.
% 12.72/13.12 (46979) {G0,W17,D3,L3,V5,M3} { ! perp( X, T, Y, Z ), ! perp( Y, T, X, Z )
% 12.72/13.12 , coll( skol10( U, Y, Z ), Z, Y ) }.
% 12.72/13.12 (46980) {G0,W18,D3,L3,V4,M3} { ! perp( X, T, Y, Z ), ! perp( Y, T, X, Z )
% 12.72/13.12 , perp( X, skol10( X, Y, Z ), Z, Y ) }.
% 12.72/13.12 (46981) {G0,W14,D2,L3,V4,M3} { ! perp( X, T, Y, Z ), ! perp( Y, T, X, Z )
% 12.72/13.12 , alpha1( X, Y, Z ) }.
% 12.72/13.12 (46982) {G0,W11,D3,L2,V4,M2} { ! alpha1( X, Y, Z ), coll( skol11( X, T, Z
% 12.72/13.12 ), Z, X ) }.
% 12.72/13.12 (46983) {G0,W12,D3,L2,V3,M2} { ! alpha1( X, Y, Z ), perp( Y, skol11( X, Y
% 12.72/13.12 , Z ), Z, X ) }.
% 12.72/13.12 (46984) {G0,W13,D2,L3,V4,M3} { ! coll( T, Z, X ), ! perp( Y, T, Z, X ),
% 12.72/13.12 alpha1( X, Y, Z ) }.
% 12.72/13.12 (46985) {G0,W12,D3,L2,V4,M2} { ! circle( Y, X, Z, T ), perp( skol12( X, Y
% 12.72/13.12 ), X, X, Y ) }.
% 12.72/13.12 (46986) {G0,W28,D3,L5,V8,M5} { ! circle( W, X, Y, Z ), ! cong( W, X, W, T
% 12.72/13.12 ), ! cong( U, X, U, Y ), W = U, alpha2( X, Z, U, skol13( X, V0, Z, V1, U
% 12.72/13.12 ) ) }.
% 12.72/13.12 (46987) {G0,W26,D3,L5,V8,M5} { ! circle( W, X, Y, Z ), ! cong( W, X, W, T
% 12.72/13.12 ), ! cong( U, X, U, Y ), W = U, coll( skol21( V0, Y, T, V1 ), Y, T ) }.
% 12.72/13.12 (46988) {G0,W27,D3,L5,V6,M5} { ! circle( W, X, Y, Z ), ! cong( W, X, W, T
% 12.72/13.12 ), ! cong( U, X, U, Y ), W = U, cong( skol21( X, Y, T, U ), U, U, X )
% 12.72/13.12 }.
% 12.72/13.12 (46989) {G0,W9,D2,L2,V4,M2} { ! alpha2( X, Y, Z, T ), coll( T, X, Y ) }.
% 12.72/13.12 (46990) {G0,W10,D2,L2,V4,M2} { ! alpha2( X, Y, Z, T ), cong( T, Z, Z, X )
% 12.72/13.12 }.
% 12.72/13.12 (46991) {G0,W14,D2,L3,V4,M3} { ! coll( T, X, Y ), ! cong( T, Z, Z, X ),
% 12.72/13.12 alpha2( X, Y, Z, T ) }.
% 12.72/13.12 (46992) {G0,W22,D3,L4,V5,M4} { ! cyclic( X, Y, Z, T ), ! para( X, Y, Z, T
% 12.72/13.12 ), ! midp( U, X, Y ), circle( skol14( X, Y, Z ), X, Y, Z ) }.
% 12.72/13.12 (46993) {G0,W18,D3,L3,V4,M3} { ! perp( X, Z, Z, Y ), ! cyclic( X, Y, Z, T
% 12.72/13.12 ), circle( skol15( X, Y, Z ), X, Y, Z ) }.
% 12.72/13.12 (46994) {G0,W16,D3,L3,V6,M3} { ! perp( X, U, U, T ), ! coll( T, Y, Z ),
% 12.72/13.12 coll( skol16( W, Y, Z ), Y, Z ) }.
% 12.72/13.12 (46995) {G0,W17,D3,L3,V5,M3} { ! perp( X, U, U, T ), ! coll( T, Y, Z ),
% 12.72/13.12 perp( skol16( X, Y, Z ), X, Y, Z ) }.
% 12.72/13.12 (46996) {G0,W20,D3,L4,V5,M4} { ! perp( X, Z, X, Y ), ! perp( Y, X, Y, T )
% 12.72/13.12 , ! midp( U, Z, T ), midp( skol17( X, Y ), X, Y ) }.
% 12.72/13.12 (46997) {G0,W16,D3,L3,V3,M3} { ! cong( Y, X, Y, Z ), ! perp( X, Y, Y, Z )
% 12.72/13.12 , coll( X, Y, skol18( X, Y ) ) }.
% 12.72/13.12 (46998) {G0,W17,D3,L3,V3,M3} { ! cong( Y, X, Y, Z ), ! perp( X, Y, Y, Z )
% 12.72/13.12 , cong( Y, X, Y, skol18( X, Y ) ) }.
% 12.72/13.12 (46999) {G0,W25,D3,L5,V8,M5} { ! para( U, W, X, Y ), ! coll( Z, U, X ), !
% 12.72/13.12 coll( Z, W, Y ), ! coll( T, U, W ), coll( Z, T, skol19( V0, V1, Z, T ) )
% 12.72/13.12 }.
% 12.72/13.12 (47000) {G0,W25,D3,L5,V6,M5} { ! para( U, W, X, Y ), ! coll( Z, U, X ), !
% 12.72/13.12 coll( Z, W, Y ), ! coll( T, U, W ), coll( skol19( X, Y, Z, T ), X, Y )
% 12.72/13.12 }.
% 12.72/13.12 (47001) {G0,W5,D2,L1,V0,M1} { circle( skol26, skol20, skol22, skol23 ) }.
% 12.72/13.12 (47002) {G0,W5,D2,L1,V0,M1} { perp( skol22, skol26, skol20, skol27 ) }.
% 12.72/13.12 (47003) {G0,W5,D2,L1,V0,M1} { circle( skol26, skol20, skol27, skol28 ) }.
% 12.72/13.12 (47004) {G0,W4,D2,L1,V0,M1} { coll( skol29, skol22, skol26 ) }.
% 12.72/13.12 (47005) {G0,W4,D2,L1,V0,M1} { coll( skol29, skol20, skol27 ) }.
% 12.72/13.12 (47006) {G0,W5,D2,L1,V0,M1} { circle( skol26, skol20, skol24, skol30 ) }.
% 12.72/13.12 (47007) {G0,W4,D2,L1,V0,M1} { coll( skol31, skol20, skol27 ) }.
% 12.72/13.12 (47008) {G0,W4,D2,L1,V0,M1} { coll( skol31, skol22, skol23 ) }.
% 12.72/13.12 (47009) {G0,W4,D2,L1,V0,M1} { coll( skol25, skol20, skol27 ) }.
% 12.72/13.12 (47010) {G0,W4,D2,L1,V0,M1} { coll( skol25, skol22, skol24 ) }.
% 12.72/13.12 (47011) {G0,W9,D2,L1,V0,M1} { ! eqangle( skol20, skol25, skol25, skol22,
% 12.72/13.12 skol22, skol23, skol23, skol24 ) }.
% 12.72/13.12
% 12.72/13.12
% 12.72/13.12 Total Proof:
% 12.72/13.12
% 12.72/13.12 subsumption: (0) {G0,W8,D2,L2,V3,M2} I { ! coll( X, Y, Z ), coll( X, Z, Y )
% 12.72/13.12 }.
% 12.72/13.12 parent0: (46884) {G0,W8,D2,L2,V3,M2} { ! coll( X, Y, Z ), coll( X, Z, Y )
% 12.72/13.12 }.
% 12.72/13.12 substitution0:
% 12.72/13.12 X := X
% 12.72/13.12 Y := Y
% 12.72/13.12 Z := Z
% 12.72/13.12 end
% 12.72/13.12 permutation0:
% 12.72/13.12 0 ==> 0
% 12.72/13.12 1 ==> 1
% 12.72/13.12 end
% 12.72/13.12
% 12.72/13.12 subsumption: (1) {G0,W8,D2,L2,V3,M2} I { ! coll( X, Y, Z ), coll( Y, X, Z )
% 12.72/13.12 }.
% 12.72/13.12 parent0: (46885) {G0,W8,D2,L2,V3,M2} { ! coll( X, Y, Z ), coll( Y, X, Z )
% 12.72/13.12 }.
% 12.72/13.12 substitution0:
% 12.72/13.12 X := X
% 12.72/13.12 Y := Y
% 12.72/13.12 Z := Z
% 12.72/13.12 end
% 12.72/13.12 permutation0:
% 12.72/13.12 0 ==> 0
% 12.72/13.12 1 ==> 1
% 12.72/13.12 end
% 12.72/13.12
% 12.72/13.12 subsumption: (2) {G0,W12,D2,L3,V4,M3} I { ! coll( X, T, Y ), ! coll( X, T,
% 12.72/13.12 Z ), coll( Y, Z, X ) }.
% 12.72/13.12 parent0: (46886) {G0,W12,D2,L3,V4,M3} { ! coll( X, T, Y ), ! coll( X, T, Z
% 12.72/13.12 ), coll( Y, Z, X ) }.
% 12.72/13.12 substitution0:
% 12.72/13.12 X := X
% 12.72/13.12 Y := Y
% 12.72/13.12 Z := Z
% 12.72/13.12 T := T
% 12.72/13.12 end
% 12.72/13.12 permutation0:
% 12.72/13.12 0 ==> 0
% 12.72/13.12 1 ==> 1
% 12.72/13.12 2 ==> 2
% 12.72/13.12 end
% 12.72/13.12
% 12.72/13.12 subsumption: (3) {G0,W10,D2,L2,V4,M2} I { ! para( X, Y, Z, T ), para( X, Y
% 12.72/13.12 , T, Z ) }.
% 12.72/13.12 parent0: (46887) {G0,W10,D2,L2,V4,M2} { ! para( X, Y, Z, T ), para( X, Y,
% 12.72/13.12 T, Z ) }.
% 12.72/13.12 substitution0:
% 12.72/13.12 X := X
% 12.72/13.12 Y := Y
% 12.72/13.12 Z := Z
% 12.72/13.12 T := T
% 12.72/13.12 end
% 12.72/13.12 permutation0:
% 12.72/13.12 0 ==> 0
% 12.72/13.12 1 ==> 1
% 12.72/13.12 end
% 12.72/13.12
% 12.72/13.12 subsumption: (6) {G0,W10,D2,L2,V4,M2} I { ! perp( X, Y, Z, T ), perp( X, Y
% 12.72/13.12 , T, Z ) }.
% 12.72/13.12 parent0: (46890) {G0,W10,D2,L2,V4,M2} { ! perp( X, Y, Z, T ), perp( X, Y,
% 12.72/13.12 T, Z ) }.
% 12.72/13.12 substitution0:
% 12.72/13.12 X := X
% 12.72/13.12 Y := Y
% 12.72/13.12 Z := Z
% 12.72/13.12 T := T
% 12.72/13.12 end
% 12.72/13.12 permutation0:
% 12.72/13.12 0 ==> 0
% 12.72/13.12 1 ==> 1
% 12.72/13.12 end
% 12.72/13.12
% 12.72/13.12 subsumption: (7) {G0,W10,D2,L2,V4,M2} I { ! perp( X, Y, Z, T ), perp( Z, T
% 12.72/13.12 , X, Y ) }.
% 12.72/13.12 parent0: (46891) {G0,W10,D2,L2,V4,M2} { ! perp( X, Y, Z, T ), perp( Z, T,
% 12.72/13.12 X, Y ) }.
% 12.72/13.12 substitution0:
% 12.72/13.12 X := X
% 12.72/13.12 Y := Y
% 12.72/13.12 Z := Z
% 12.72/13.12 T := T
% 12.72/13.12 end
% 12.72/13.12 permutation0:
% 12.72/13.12 0 ==> 0
% 12.72/13.12 1 ==> 1
% 12.72/13.12 end
% 12.72/13.12
% 12.72/13.12 subsumption: (8) {G0,W15,D2,L3,V6,M3} I { ! perp( X, Y, U, W ), ! perp( U,
% 12.72/13.12 W, Z, T ), para( X, Y, Z, T ) }.
% 12.72/13.12 parent0: (46892) {G0,W15,D2,L3,V6,M3} { ! perp( X, Y, U, W ), ! perp( U, W
% 12.72/13.12 , Z, T ), para( X, Y, Z, T ) }.
% 12.72/13.12 substitution0:
% 12.72/13.12 X := X
% 12.72/13.12 Y := Y
% 12.72/13.12 Z := Z
% 12.72/13.12 T := T
% 12.72/13.12 U := U
% 12.72/13.12 W := W
% 12.72/13.12 end
% 12.72/13.12 permutation0:
% 12.72/13.12 0 ==> 0
% 12.72/13.12 1 ==> 1
% 12.72/13.12 2 ==> 2
% 12.72/13.12 end
% 12.72/13.12
% 12.72/13.12 subsumption: (13) {G0,W10,D2,L2,V4,M2} I { ! cyclic( X, Y, Z, T ), cyclic(
% 12.72/13.12 X, Y, T, Z ) }.
% 12.72/13.12 parent0: (46897) {G0,W10,D2,L2,V4,M2} { ! cyclic( X, Y, Z, T ), cyclic( X
% 12.72/13.12 , Y, T, Z ) }.
% 12.72/13.12 substitution0:
% 12.72/13.12 X := X
% 12.72/13.12 Y := Y
% 12.72/13.12 Z := Z
% 12.72/13.12 T := T
% 12.72/13.12 end
% 12.72/13.12 permutation0:
% 12.72/13.12 0 ==> 0
% 12.72/13.12 1 ==> 1
% 12.72/13.12 end
% 12.72/13.12
% 12.72/13.12 subsumption: (14) {G0,W10,D2,L2,V4,M2} I { ! cyclic( X, Y, Z, T ), cyclic(
% 12.76/13.12 X, Z, Y, T ) }.
% 12.76/13.12 parent0: (46898) {G0,W10,D2,L2,V4,M2} { ! cyclic( X, Y, Z, T ), cyclic( X
% 12.76/13.12 , Z, Y, T ) }.
% 12.76/13.12 substitution0:
% 12.76/13.12 X := X
% 12.76/13.12 Y := Y
% 12.76/13.12 Z := Z
% 12.76/13.12 T := T
% 12.76/13.12 end
% 12.76/13.12 permutation0:
% 12.76/13.12 0 ==> 0
% 12.76/13.12 1 ==> 1
% 12.76/13.12 end
% 12.76/13.12
% 12.76/13.12 subsumption: (15) {G0,W10,D2,L2,V4,M2} I { ! cyclic( X, Y, Z, T ), cyclic(
% 12.76/13.12 Y, X, Z, T ) }.
% 12.76/13.12 parent0: (46899) {G0,W10,D2,L2,V4,M2} { ! cyclic( X, Y, Z, T ), cyclic( Y
% 12.76/13.12 , X, Z, T ) }.
% 12.76/13.12 substitution0:
% 12.76/13.12 X := X
% 12.76/13.12 Y := Y
% 12.76/13.12 Z := Z
% 12.76/13.12 T := T
% 12.76/13.12 end
% 12.76/13.12 permutation0:
% 12.76/13.12 0 ==> 0
% 12.76/13.12 1 ==> 1
% 12.76/13.12 end
% 12.76/13.12
% 12.76/13.12 subsumption: (16) {G0,W15,D2,L3,V5,M3} I { ! cyclic( U, X, Y, Z ), ! cyclic
% 12.76/13.12 ( U, X, Y, T ), cyclic( X, Y, Z, T ) }.
% 12.76/13.12 parent0: (46900) {G0,W15,D2,L3,V5,M3} { ! cyclic( U, X, Y, Z ), ! cyclic(
% 12.76/13.12 U, X, Y, T ), cyclic( X, Y, Z, T ) }.
% 12.76/13.12 substitution0:
% 12.76/13.12 X := X
% 12.76/13.12 Y := Y
% 12.76/13.12 Z := Z
% 12.76/13.12 T := T
% 12.76/13.12 U := U
% 12.76/13.12 end
% 12.76/13.12 permutation0:
% 12.76/13.12 0 ==> 0
% 12.76/13.12 1 ==> 1
% 12.76/13.12 2 ==> 2
% 12.76/13.12 end
% 12.76/13.12
% 12.76/13.12 subsumption: (18) {G0,W18,D2,L2,V8,M2} I { ! eqangle( X, Y, Z, T, U, W, V0
% 12.76/13.12 , V1 ), eqangle( Z, T, X, Y, V0, V1, U, W ) }.
% 12.76/13.12 parent0: (46902) {G0,W18,D2,L2,V8,M2} { ! eqangle( X, Y, Z, T, U, W, V0,
% 12.76/13.12 V1 ), eqangle( Z, T, X, Y, V0, V1, U, W ) }.
% 12.76/13.12 substitution0:
% 12.76/13.12 X := X
% 12.76/13.12 Y := Y
% 12.76/13.12 Z := Z
% 12.76/13.12 T := T
% 12.76/13.12 U := U
% 12.76/13.12 W := W
% 12.76/13.12 V0 := V0
% 12.76/13.12 V1 := V1
% 12.76/13.12 end
% 12.76/13.12 permutation0:
% 12.76/13.12 0 ==> 0
% 12.76/13.12 1 ==> 1
% 12.76/13.12 end
% 12.76/13.12
% 12.76/13.12 subsumption: (19) {G0,W18,D2,L2,V8,M2} I { ! eqangle( X, Y, Z, T, U, W, V0
% 12.76/13.12 , V1 ), eqangle( U, W, V0, V1, X, Y, Z, T ) }.
% 12.76/13.12 parent0: (46903) {G0,W18,D2,L2,V8,M2} { ! eqangle( X, Y, Z, T, U, W, V0,
% 12.76/13.12 V1 ), eqangle( U, W, V0, V1, X, Y, Z, T ) }.
% 12.76/13.12 substitution0:
% 12.76/13.12 X := X
% 12.76/13.12 Y := Y
% 12.76/13.12 Z := Z
% 12.76/13.12 T := T
% 12.76/13.12 U := U
% 12.76/13.12 W := W
% 12.76/13.12 V0 := V0
% 12.76/13.12 V1 := V1
% 12.76/13.12 end
% 12.76/13.12 permutation0:
% 12.76/13.12 0 ==> 0
% 12.76/13.12 1 ==> 1
% 12.76/13.12 end
% 12.76/13.12
% 12.76/13.12 subsumption: (20) {G0,W18,D2,L2,V8,M2} I { ! eqangle( X, Y, Z, T, U, W, V0
% 12.76/13.12 , V1 ), eqangle( X, Y, U, W, Z, T, V0, V1 ) }.
% 12.76/13.12 parent0: (46904) {G0,W18,D2,L2,V8,M2} { ! eqangle( X, Y, Z, T, U, W, V0,
% 12.76/13.12 V1 ), eqangle( X, Y, U, W, Z, T, V0, V1 ) }.
% 12.76/13.12 substitution0:
% 12.76/13.12 X := X
% 12.76/13.12 Y := Y
% 12.76/13.12 Z := Z
% 12.76/13.12 T := T
% 12.76/13.12 U := U
% 12.76/13.12 W := W
% 12.76/13.12 V0 := V0
% 12.76/13.12 V1 := V1
% 12.76/13.12 end
% 12.76/13.12 permutation0:
% 12.76/13.12 0 ==> 0
% 12.76/13.12 1 ==> 1
% 12.76/13.12 end
% 12.76/13.12
% 12.76/13.12 subsumption: (21) {G0,W27,D2,L3,V12,M3} I { ! eqangle( X, Y, Z, T, V2, V3,
% 12.76/13.12 V4, V5 ), ! eqangle( V2, V3, V4, V5, U, W, V0, V1 ), eqangle( X, Y, Z, T
% 12.76/13.12 , U, W, V0, V1 ) }.
% 12.76/13.12 parent0: (46905) {G0,W27,D2,L3,V12,M3} { ! eqangle( X, Y, Z, T, V2, V3, V4
% 12.76/13.12 , V5 ), ! eqangle( V2, V3, V4, V5, U, W, V0, V1 ), eqangle( X, Y, Z, T, U
% 12.76/13.12 , W, V0, V1 ) }.
% 12.76/13.12 substitution0:
% 12.76/13.12 X := X
% 12.76/13.12 Y := Y
% 12.76/13.12 Z := Z
% 12.76/13.12 T := T
% 12.76/13.12 U := U
% 12.76/13.12 W := W
% 12.76/13.12 V0 := V0
% 12.76/13.12 V1 := V1
% 12.76/13.12 V2 := V2
% 12.76/13.12 V3 := V3
% 12.76/13.12 V4 := V4
% 12.76/13.12 V5 := V5
% 12.76/13.12 end
% 12.76/13.12 permutation0:
% 12.76/13.12 0 ==> 0
% 12.76/13.12 1 ==> 1
% 12.76/13.12 2 ==> 2
% 12.76/13.12 end
% 12.76/13.12
% 12.76/13.12 subsumption: (39) {G0,W14,D2,L2,V6,M2} I { ! para( X, Y, Z, T ), eqangle( X
% 12.76/13.12 , Y, U, W, Z, T, U, W ) }.
% 12.76/13.12 parent0: (46923) {G0,W14,D2,L2,V6,M2} { ! para( X, Y, Z, T ), eqangle( X,
% 12.76/13.12 Y, U, W, Z, T, U, W ) }.
% 12.76/13.12 substitution0:
% 12.76/13.12 X := X
% 12.76/13.12 Y := Y
% 12.76/13.12 Z := Z
% 12.76/13.12 T := T
% 12.76/13.12 U := U
% 12.76/13.12 W := W
% 12.76/13.12 end
% 12.76/13.12 permutation0:
% 12.76/13.12 0 ==> 0
% 12.76/13.12 1 ==> 1
% 12.76/13.12 end
% 12.76/13.12
% 12.76/13.12 subsumption: (40) {G0,W14,D2,L2,V4,M2} I { ! cyclic( X, Y, Z, T ), eqangle
% 12.76/13.12 ( Z, X, Z, Y, T, X, T, Y ) }.
% 12.76/13.12 parent0: (46924) {G0,W14,D2,L2,V4,M2} { ! cyclic( X, Y, Z, T ), eqangle( Z
% 12.76/13.12 , X, Z, Y, T, X, T, Y ) }.
% 12.76/13.12 substitution0:
% 12.76/13.12 X := X
% 12.76/13.12 Y := Y
% 12.76/13.12 Z := Z
% 12.76/13.12 T := T
% 12.76/13.12 end
% 12.76/13.12 permutation0:
% 12.76/13.12 0 ==> 0
% 12.76/13.12 1 ==> 1
% 12.76/13.12 end
% 12.76/13.12
% 12.76/13.12 subsumption: (42) {G0,W18,D2,L3,V4,M3} I { ! eqangle( Z, X, Z, Y, T, X, T,
% 12.76/13.12 Y ), ! coll( Z, T, Y ), cyclic( X, Y, Z, T ) }.
% 12.76/13.12 parent0: (46926) {G0,W18,D2,L3,V4,M3} { ! eqangle( Z, X, Z, Y, T, X, T, Y
% 12.76/13.12 ), ! coll( Z, T, Y ), cyclic( X, Y, Z, T ) }.
% 12.76/13.12 substitution0:
% 12.76/13.12 X := X
% 12.76/13.12 Y := Y
% 12.76/13.12 Z := Z
% 12.76/13.12 T := T
% 12.76/13.12 end
% 12.76/13.12 permutation0:
% 12.76/13.12 0 ==> 0
% 12.76/13.12 1 ==> 1
% 12.76/13.12 2 ==> 2
% 12.76/13.12 end
% 12.76/13.12
% 12.76/13.12 subsumption: (43) {G0,W29,D2,L5,V6,M5} I { ! cyclic( X, Y, U, Z ), ! cyclic
% 12.76/13.12 ( X, Y, U, T ), ! cyclic( X, Y, U, W ), ! eqangle( U, X, U, Y, W, Z, W, T
% 12.76/13.12 ), cong( X, Y, Z, T ) }.
% 12.76/13.12 parent0: (46927) {G0,W29,D2,L5,V6,M5} { ! cyclic( X, Y, U, Z ), ! cyclic(
% 12.76/13.12 X, Y, U, T ), ! cyclic( X, Y, U, W ), ! eqangle( U, X, U, Y, W, Z, W, T )
% 12.76/13.12 , cong( X, Y, Z, T ) }.
% 12.76/13.12 substitution0:
% 12.76/13.12 X := X
% 12.76/13.12 Y := Y
% 12.76/13.12 Z := Z
% 12.76/13.12 T := T
% 12.76/13.12 U := U
% 12.76/13.12 W := W
% 12.76/13.12 end
% 12.76/13.12 permutation0:
% 12.76/13.12 0 ==> 0
% 12.76/13.12 1 ==> 1
% 12.76/13.12 2 ==> 2
% 12.76/13.12 3 ==> 3
% 12.76/13.12 4 ==> 4
% 12.76/13.12 end
% 12.76/13.12
% 12.76/13.12 subsumption: (56) {G0,W15,D2,L3,V4,M3} I { ! cong( X, Z, Y, Z ), ! cong( X
% 12.76/13.12 , T, Y, T ), perp( X, Y, Z, T ) }.
% 12.76/13.12 parent0: (46940) {G0,W15,D2,L3,V4,M3} { ! cong( X, Z, Y, Z ), ! cong( X, T
% 12.76/13.12 , Y, T ), perp( X, Y, Z, T ) }.
% 12.76/13.12 substitution0:
% 12.76/13.12 X := X
% 12.76/13.12 Y := Y
% 12.76/13.12 Z := Z
% 12.76/13.12 T := T
% 12.76/13.12 end
% 12.76/13.12 permutation0:
% 12.76/13.12 0 ==> 0
% 12.76/13.12 1 ==> 1
% 12.76/13.12 2 ==> 2
% 12.76/13.12 end
% 12.76/13.12
% 12.76/13.12 subsumption: (96) {G0,W14,D2,L3,V4,M3} I { ! perp( X, T, Y, Z ), ! perp( Y
% 12.76/13.12 , T, X, Z ), alpha1( X, Y, Z ) }.
% 12.76/13.12 parent0: (46981) {G0,W14,D2,L3,V4,M3} { ! perp( X, T, Y, Z ), ! perp( Y, T
% 12.76/13.12 , X, Z ), alpha1( X, Y, Z ) }.
% 12.76/13.12 substitution0:
% 12.76/13.12 X := X
% 12.76/13.12 Y := Y
% 12.76/13.12 Z := Z
% 12.76/13.12 T := T
% 12.76/13.12 end
% 12.76/13.12 permutation0:
% 12.76/13.12 0 ==> 0
% 12.76/13.12 1 ==> 1
% 12.76/13.12 2 ==> 2
% 12.76/13.12 end
% 12.76/13.12
% 12.76/13.12 subsumption: (97) {G0,W11,D3,L2,V4,M2} I { ! alpha1( X, Y, Z ), coll(
% 12.76/13.12 skol11( X, T, Z ), Z, X ) }.
% 12.76/13.12 parent0: (46982) {G0,W11,D3,L2,V4,M2} { ! alpha1( X, Y, Z ), coll( skol11
% 12.76/13.12 ( X, T, Z ), Z, X ) }.
% 12.76/13.12 substitution0:
% 12.76/13.12 X := X
% 12.76/13.12 Y := Y
% 12.76/13.12 Z := Z
% 12.76/13.12 T := T
% 12.76/13.12 end
% 12.76/13.12 permutation0:
% 12.76/13.12 0 ==> 0
% 12.76/13.12 1 ==> 1
% 12.76/13.12 end
% 12.76/13.12
% 12.76/13.12 subsumption: (100) {G0,W12,D3,L2,V4,M2} I { ! circle( Y, X, Z, T ), perp(
% 12.76/13.12 skol12( X, Y ), X, X, Y ) }.
% 12.76/13.12 parent0: (46985) {G0,W12,D3,L2,V4,M2} { ! circle( Y, X, Z, T ), perp(
% 12.76/13.12 skol12( X, Y ), X, X, Y ) }.
% 12.76/13.12 substitution0:
% 12.76/13.12 X := X
% 12.76/13.12 Y := Y
% 12.76/13.12 Z := Z
% 12.76/13.12 T := T
% 12.76/13.12 end
% 12.76/13.12 permutation0:
% 12.76/13.12 0 ==> 0
% 12.76/13.12 1 ==> 1
% 12.76/13.12 end
% 12.76/13.12
% 12.76/13.12 subsumption: (116) {G0,W5,D2,L1,V0,M1} I { circle( skol26, skol20, skol22,
% 12.76/13.12 skol23 ) }.
% 12.76/13.12 parent0: (47001) {G0,W5,D2,L1,V0,M1} { circle( skol26, skol20, skol22,
% 12.76/13.12 skol23 ) }.
% 12.76/13.12 substitution0:
% 12.76/13.12 end
% 12.76/13.12 permutation0:
% 12.76/13.12 0 ==> 0
% 12.76/13.12 end
% 12.76/13.12
% 12.76/13.12 subsumption: (126) {G0,W9,D2,L1,V0,M1} I { ! eqangle( skol20, skol25,
% 12.76/13.12 skol25, skol22, skol22, skol23, skol23, skol24 ) }.
% 12.76/13.12 parent0: (47011) {G0,W9,D2,L1,V0,M1} { ! eqangle( skol20, skol25, skol25,
% 12.76/13.12 skol22, skol22, skol23, skol23, skol24 ) }.
% 12.76/13.12 substitution0:
% 12.76/13.12 end
% 12.76/13.12 permutation0:
% 12.76/13.12 0 ==> 0
% 12.76/13.12 end
% 12.76/13.12
% 12.76/13.12 resolution: (47389) {G1,W12,D2,L3,V4,M3} { coll( X, Z, Y ), ! coll( Z, T,
% 12.76/13.12 X ), ! coll( Z, T, Y ) }.
% 12.76/13.12 parent0[0]: (0) {G0,W8,D2,L2,V3,M2} I { ! coll( X, Y, Z ), coll( X, Z, Y )
% 12.76/13.12 }.
% 12.76/13.12 parent1[2]: (2) {G0,W12,D2,L3,V4,M3} I { ! coll( X, T, Y ), ! coll( X, T, Z
% 12.76/13.12 ), coll( Y, Z, X ) }.
% 12.76/13.12 substitution0:
% 12.76/13.12 X := X
% 12.76/13.12 Y := Y
% 12.76/13.12 Z := Z
% 12.76/13.12 end
% 12.76/13.12 substitution1:
% 12.76/13.12 X := Z
% 12.76/13.12 Y := X
% 12.76/13.12 Z := Y
% 12.76/13.12 T := T
% 12.76/13.12 end
% 12.76/13.12
% 12.76/13.12 subsumption: (205) {G1,W12,D2,L3,V4,M3} R(2,0) { ! coll( X, Y, Z ), ! coll
% 12.76/13.12 ( X, Y, T ), coll( Z, X, T ) }.
% 12.76/13.12 parent0: (47389) {G1,W12,D2,L3,V4,M3} { coll( X, Z, Y ), ! coll( Z, T, X )
% 12.76/13.12 , ! coll( Z, T, Y ) }.
% 12.76/13.12 substitution0:
% 12.76/13.12 X := Z
% 12.76/13.12 Y := T
% 12.76/13.12 Z := X
% 12.76/13.12 T := Y
% 12.76/13.12 end
% 12.76/13.12 permutation0:
% 12.76/13.12 0 ==> 2
% 12.76/13.12 1 ==> 0
% 12.76/13.12 2 ==> 1
% 12.76/13.12 end
% 12.76/13.12
% 12.76/13.12 factor: (47391) {G1,W8,D2,L2,V3,M2} { ! coll( X, Y, Z ), coll( Z, X, Z )
% 12.76/13.12 }.
% 12.76/13.12 parent0[0, 1]: (205) {G1,W12,D2,L3,V4,M3} R(2,0) { ! coll( X, Y, Z ), !
% 12.76/13.12 coll( X, Y, T ), coll( Z, X, T ) }.
% 12.76/13.12 substitution0:
% 12.76/13.12 X := X
% 12.76/13.12 Y := Y
% 12.76/13.12 Z := Z
% 12.76/13.12 T := Z
% 12.76/13.12 end
% 12.76/13.12
% 12.76/13.12 subsumption: (216) {G2,W8,D2,L2,V3,M2} F(205) { ! coll( X, Y, Z ), coll( Z
% 12.76/13.12 , X, Z ) }.
% 12.76/13.12 parent0: (47391) {G1,W8,D2,L2,V3,M2} { ! coll( X, Y, Z ), coll( Z, X, Z )
% 12.76/13.12 }.
% 12.76/13.12 substitution0:
% 12.76/13.12 X := X
% 12.76/13.12 Y := Y
% 12.76/13.12 Z := Z
% 12.76/13.12 end
% 12.76/13.12 permutation0:
% 12.76/13.12 0 ==> 0
% 12.76/13.12 1 ==> 1
% 12.76/13.12 end
% 12.76/13.12
% 12.76/13.12 resolution: (47392) {G1,W15,D2,L3,V6,M3} { ! perp( Z, T, U, W ), para( X,
% 12.76/13.12 Y, U, W ), ! perp( Z, T, X, Y ) }.
% 12.76/13.12 parent0[0]: (8) {G0,W15,D2,L3,V6,M3} I { ! perp( X, Y, U, W ), ! perp( U, W
% 12.76/13.12 , Z, T ), para( X, Y, Z, T ) }.
% 12.76/13.12 parent1[1]: (7) {G0,W10,D2,L2,V4,M2} I { ! perp( X, Y, Z, T ), perp( Z, T,
% 12.76/13.12 X, Y ) }.
% 12.76/13.12 substitution0:
% 12.76/13.12 X := X
% 12.76/13.12 Y := Y
% 12.76/13.12 Z := U
% 12.76/13.12 T := W
% 12.76/13.12 U := Z
% 12.76/13.12 W := T
% 12.76/13.12 end
% 12.76/13.12 substitution1:
% 12.76/13.12 X := Z
% 12.76/13.12 Y := T
% 12.76/13.12 Z := X
% 12.76/13.12 T := Y
% 12.76/13.12 end
% 12.76/13.12
% 12.76/13.12 subsumption: (290) {G1,W15,D2,L3,V6,M3} R(8,7) { ! perp( X, Y, Z, T ), para
% 12.76/13.12 ( U, W, Z, T ), ! perp( X, Y, U, W ) }.
% 12.76/13.12 parent0: (47392) {G1,W15,D2,L3,V6,M3} { ! perp( Z, T, U, W ), para( X, Y,
% 12.76/13.12 U, W ), ! perp( Z, T, X, Y ) }.
% 12.76/13.12 substitution0:
% 12.76/13.12 X := U
% 12.76/13.12 Y := W
% 12.76/13.12 Z := X
% 12.76/13.12 T := Y
% 12.76/13.12 U := Z
% 12.76/13.12 W := T
% 12.76/13.12 end
% 12.76/13.12 permutation0:
% 12.76/13.12 0 ==> 0
% 12.76/13.12 1 ==> 1
% 12.76/13.12 2 ==> 2
% 12.76/13.12 end
% 12.76/13.12
% 12.76/13.12 resolution: (47397) {G1,W15,D2,L3,V6,M3} { ! perp( X, Y, Z, T ), para( X,
% 12.76/13.12 Y, U, W ), ! perp( U, W, Z, T ) }.
% 12.76/13.12 parent0[1]: (8) {G0,W15,D2,L3,V6,M3} I { ! perp( X, Y, U, W ), ! perp( U, W
% 12.76/13.12 , Z, T ), para( X, Y, Z, T ) }.
% 12.76/13.12 parent1[1]: (7) {G0,W10,D2,L2,V4,M2} I { ! perp( X, Y, Z, T ), perp( Z, T,
% 12.76/13.12 X, Y ) }.
% 12.76/13.12 substitution0:
% 12.76/13.12 X := X
% 12.76/13.12 Y := Y
% 12.76/13.12 Z := U
% 12.76/13.12 T := W
% 12.76/13.12 U := Z
% 12.76/13.12 W := T
% 12.76/13.12 end
% 12.76/13.12 substitution1:
% 12.76/13.12 X := U
% 12.76/13.12 Y := W
% 12.76/13.12 Z := Z
% 12.76/13.12 T := T
% 12.76/13.12 end
% 12.76/13.12
% 12.76/13.12 subsumption: (291) {G1,W15,D2,L3,V6,M3} R(8,7) { ! perp( X, Y, Z, T ), para
% 12.76/13.12 ( X, Y, U, W ), ! perp( U, W, Z, T ) }.
% 12.76/13.12 parent0: (47397) {G1,W15,D2,L3,V6,M3} { ! perp( X, Y, Z, T ), para( X, Y,
% 12.76/13.12 U, W ), ! perp( U, W, Z, T ) }.
% 12.76/13.12 substitution0:
% 12.76/13.12 X := X
% 12.76/13.12 Y := Y
% 12.76/13.12 Z := Z
% 12.76/13.12 T := T
% 12.76/13.12 U := U
% 12.76/13.12 W := W
% 12.76/13.12 end
% 12.76/13.12 permutation0:
% 12.76/13.12 0 ==> 0
% 12.76/13.12 1 ==> 1
% 12.76/13.12 2 ==> 2
% 12.76/13.12 end
% 12.76/13.12
% 12.76/13.12 factor: (47400) {G1,W10,D2,L2,V4,M2} { ! perp( X, Y, Z, T ), para( X, Y, X
% 12.76/13.12 , Y ) }.
% 12.76/13.12 parent0[0, 2]: (291) {G1,W15,D2,L3,V6,M3} R(8,7) { ! perp( X, Y, Z, T ),
% 12.76/13.12 para( X, Y, U, W ), ! perp( U, W, Z, T ) }.
% 12.76/13.12 substitution0:
% 12.76/13.12 X := X
% 12.76/13.12 Y := Y
% 12.76/13.12 Z := Z
% 12.76/13.12 T := T
% 12.76/13.12 U := X
% 12.76/13.12 W := Y
% 12.76/13.12 end
% 12.76/13.12
% 12.76/13.12 subsumption: (299) {G2,W10,D2,L2,V4,M2} F(291) { ! perp( X, Y, Z, T ), para
% 12.76/13.12 ( X, Y, X, Y ) }.
% 12.76/13.12 parent0: (47400) {G1,W10,D2,L2,V4,M2} { ! perp( X, Y, Z, T ), para( X, Y,
% 12.76/13.12 X, Y ) }.
% 12.76/13.12 substitution0:
% 12.76/13.12 X := X
% 12.76/13.12 Y := Y
% 12.76/13.12 Z := Z
% 12.76/13.12 T := T
% 12.76/13.12 end
% 12.76/13.12 permutation0:
% 12.76/13.12 0 ==> 0
% 12.76/13.12 1 ==> 1
% 12.76/13.12 end
% 12.76/13.12
% 12.76/13.12 resolution: (47401) {G1,W12,D2,L3,V4,M3} { coll( Z, X, Z ), ! coll( Z, T,
% 12.76/13.12 X ), ! coll( Z, T, Y ) }.
% 12.76/13.12 parent0[0]: (216) {G2,W8,D2,L2,V3,M2} F(205) { ! coll( X, Y, Z ), coll( Z,
% 12.76/13.12 X, Z ) }.
% 12.76/13.12 parent1[2]: (2) {G0,W12,D2,L3,V4,M3} I { ! coll( X, T, Y ), ! coll( X, T, Z
% 12.76/13.12 ), coll( Y, Z, X ) }.
% 12.76/13.12 substitution0:
% 12.76/13.12 X := X
% 12.76/13.12 Y := Y
% 12.76/13.12 Z := Z
% 12.76/13.12 end
% 12.76/13.12 substitution1:
% 12.76/13.12 X := Z
% 12.76/13.12 Y := X
% 12.76/13.12 Z := Y
% 12.76/13.12 T := T
% 12.76/13.12 end
% 12.76/13.12
% 12.76/13.12 subsumption: (361) {G3,W12,D2,L3,V4,M3} R(216,2) { coll( X, Y, X ), ! coll
% 12.76/13.12 ( X, Z, Y ), ! coll( X, Z, T ) }.
% 12.76/13.12 parent0: (47401) {G1,W12,D2,L3,V4,M3} { coll( Z, X, Z ), ! coll( Z, T, X )
% 12.76/13.12 , ! coll( Z, T, Y ) }.
% 12.76/13.12 substitution0:
% 12.76/13.12 X := Y
% 12.76/13.12 Y := Y
% 12.76/13.12 Z := X
% 12.76/13.12 T := Z
% 12.76/13.12 end
% 12.76/13.12 permutation0:
% 12.76/13.12 0 ==> 0
% 12.76/13.12 1 ==> 1
% 12.76/13.12 2 ==> 1
% 12.76/13.12 end
% 12.76/13.12
% 12.76/13.12 factor: (47403) {G3,W8,D2,L2,V3,M2} { coll( X, Y, X ), ! coll( X, Z, Y )
% 12.76/13.12 }.
% 12.76/13.12 parent0[1, 2]: (361) {G3,W12,D2,L3,V4,M3} R(216,2) { coll( X, Y, X ), !
% 12.76/13.12 coll( X, Z, Y ), ! coll( X, Z, T ) }.
% 12.76/13.12 substitution0:
% 12.76/13.12 X := X
% 12.76/13.12 Y := Y
% 12.76/13.12 Z := Z
% 12.76/13.12 T := Y
% 12.76/13.12 end
% 12.76/13.12
% 12.76/13.12 subsumption: (378) {G4,W8,D2,L2,V3,M2} F(361) { coll( X, Y, X ), ! coll( X
% 12.76/13.12 , Z, Y ) }.
% 12.76/13.12 parent0: (47403) {G3,W8,D2,L2,V3,M2} { coll( X, Y, X ), ! coll( X, Z, Y )
% 12.76/13.12 }.
% 12.76/13.12 substitution0:
% 12.76/13.12 X := X
% 12.76/13.12 Y := Y
% 12.76/13.12 Z := Z
% 12.76/13.12 end
% 12.76/13.12 permutation0:
% 12.76/13.12 0 ==> 0
% 12.76/13.12 1 ==> 1
% 12.76/13.12 end
% 12.76/13.12
% 12.76/13.12 resolution: (47405) {G1,W10,D2,L2,V4,M2} { cyclic( X, Y, T, Z ), ! cyclic
% 12.76/13.12 ( X, Z, Y, T ) }.
% 12.76/13.12 parent0[0]: (13) {G0,W10,D2,L2,V4,M2} I { ! cyclic( X, Y, Z, T ), cyclic( X
% 12.76/13.12 , Y, T, Z ) }.
% 12.76/13.12 parent1[1]: (14) {G0,W10,D2,L2,V4,M2} I { ! cyclic( X, Y, Z, T ), cyclic( X
% 12.76/13.12 , Z, Y, T ) }.
% 12.76/13.12 substitution0:
% 12.76/13.12 X := X
% 12.76/13.12 Y := Y
% 12.76/13.12 Z := Z
% 12.76/13.12 T := T
% 12.76/13.12 end
% 12.76/13.12 substitution1:
% 12.76/13.12 X := X
% 12.76/13.12 Y := Z
% 12.76/13.12 Z := Y
% 12.76/13.12 T := T
% 12.76/13.12 end
% 12.76/13.12
% 12.76/13.12 subsumption: (404) {G1,W10,D2,L2,V4,M2} R(14,13) { ! cyclic( X, Y, Z, T ),
% 12.76/13.12 cyclic( X, Z, T, Y ) }.
% 12.76/13.12 parent0: (47405) {G1,W10,D2,L2,V4,M2} { cyclic( X, Y, T, Z ), ! cyclic( X
% 12.76/13.12 , Z, Y, T ) }.
% 12.76/13.12 substitution0:
% 12.76/13.12 X := X
% 12.76/13.12 Y := Z
% 12.76/13.12 Z := Y
% 12.76/13.12 T := T
% 12.76/13.12 end
% 12.76/13.12 permutation0:
% 12.76/13.12 0 ==> 1
% 12.76/13.12 1 ==> 0
% 12.76/13.12 end
% 12.76/13.12
% 12.76/13.12 resolution: (47406) {G1,W10,D2,L2,V4,M2} { cyclic( Y, X, Z, T ), ! cyclic
% 12.76/13.12 ( X, Z, Y, T ) }.
% 12.76/13.12 parent0[0]: (15) {G0,W10,D2,L2,V4,M2} I { ! cyclic( X, Y, Z, T ), cyclic( Y
% 12.76/13.12 , X, Z, T ) }.
% 12.76/13.12 parent1[1]: (14) {G0,W10,D2,L2,V4,M2} I { ! cyclic( X, Y, Z, T ), cyclic( X
% 12.76/13.12 , Z, Y, T ) }.
% 12.76/13.12 substitution0:
% 12.76/13.12 X := X
% 12.76/13.12 Y := Y
% 12.76/13.12 Z := Z
% 12.76/13.12 T := T
% 12.76/13.12 end
% 12.76/13.12 substitution1:
% 12.76/13.12 X := X
% 12.76/13.12 Y := Z
% 12.76/13.12 Z := Y
% 12.76/13.12 T := T
% 12.76/13.12 end
% 12.76/13.12
% 12.76/13.12 subsumption: (412) {G1,W10,D2,L2,V4,M2} R(15,14) { cyclic( X, Y, Z, T ), !
% 12.76/13.12 cyclic( Y, Z, X, T ) }.
% 12.76/13.12 parent0: (47406) {G1,W10,D2,L2,V4,M2} { cyclic( Y, X, Z, T ), ! cyclic( X
% 12.76/13.12 , Z, Y, T ) }.
% 12.76/13.12 substitution0:
% 12.76/13.12 X := Y
% 12.76/13.12 Y := X
% 12.76/13.12 Z := Z
% 12.76/13.12 T := T
% 12.76/13.12 end
% 12.76/13.12 permutation0:
% 12.76/13.12 0 ==> 0
% 12.76/13.12 1 ==> 1
% 12.76/13.12 end
% 12.76/13.12
% 12.76/13.12 resolution: (47407) {G1,W10,D2,L2,V4,M2} { cyclic( Y, X, Z, T ), ! cyclic
% 12.76/13.12 ( X, Y, T, Z ) }.
% 12.76/13.12 parent0[0]: (15) {G0,W10,D2,L2,V4,M2} I { ! cyclic( X, Y, Z, T ), cyclic( Y
% 12.76/13.12 , X, Z, T ) }.
% 12.76/13.12 parent1[1]: (13) {G0,W10,D2,L2,V4,M2} I { ! cyclic( X, Y, Z, T ), cyclic( X
% 12.76/13.12 , Y, T, Z ) }.
% 12.76/13.12 substitution0:
% 12.76/13.12 X := X
% 12.76/13.12 Y := Y
% 12.76/13.12 Z := Z
% 12.76/13.12 T := T
% 12.76/13.12 end
% 12.76/13.12 substitution1:
% 12.76/13.12 X := X
% 12.76/13.12 Y := Y
% 12.76/13.12 Z := T
% 12.76/13.12 T := Z
% 12.76/13.12 end
% 12.76/13.12
% 12.76/13.12 subsumption: (414) {G1,W10,D2,L2,V4,M2} R(15,13) { cyclic( X, Y, Z, T ), !
% 12.76/13.12 cyclic( Y, X, T, Z ) }.
% 12.76/13.12 parent0: (47407) {G1,W10,D2,L2,V4,M2} { cyclic( Y, X, Z, T ), ! cyclic( X
% 12.76/13.12 , Y, T, Z ) }.
% 12.76/13.12 substitution0:
% 12.76/13.12 X := Y
% 12.76/13.12 Y := X
% 12.76/13.12 Z := Z
% 12.76/13.12 T := T
% 12.76/13.12 end
% 12.76/13.12 permutation0:
% 12.76/13.12 0 ==> 0
% 12.76/13.12 1 ==> 1
% 12.76/13.12 end
% 12.76/13.12
% 12.76/13.12 resolution: (47411) {G1,W15,D2,L3,V5,M3} { cyclic( Y, X, Z, T ), ! cyclic
% 12.76/13.12 ( U, X, Y, Z ), ! cyclic( U, X, Y, T ) }.
% 12.76/13.12 parent0[0]: (15) {G0,W10,D2,L2,V4,M2} I { ! cyclic( X, Y, Z, T ), cyclic( Y
% 12.76/13.12 , X, Z, T ) }.
% 12.76/13.12 parent1[2]: (16) {G0,W15,D2,L3,V5,M3} I { ! cyclic( U, X, Y, Z ), ! cyclic
% 12.76/13.12 ( U, X, Y, T ), cyclic( X, Y, Z, T ) }.
% 12.76/13.12 substitution0:
% 12.76/13.12 X := X
% 12.76/13.12 Y := Y
% 12.76/13.12 Z := Z
% 12.76/13.12 T := T
% 12.76/13.12 end
% 12.76/13.12 substitution1:
% 12.76/13.12 X := X
% 12.76/13.12 Y := Y
% 12.76/13.12 Z := Z
% 12.76/13.12 T := T
% 12.76/13.12 U := U
% 12.76/13.12 end
% 12.76/13.12
% 12.76/13.12 subsumption: (432) {G1,W15,D2,L3,V5,M3} R(16,15) { ! cyclic( X, Y, Z, T ),
% 12.76/13.12 ! cyclic( X, Y, Z, U ), cyclic( Z, Y, T, U ) }.
% 12.76/13.12 parent0: (47411) {G1,W15,D2,L3,V5,M3} { cyclic( Y, X, Z, T ), ! cyclic( U
% 12.76/13.12 , X, Y, Z ), ! cyclic( U, X, Y, T ) }.
% 12.76/13.12 substitution0:
% 12.76/13.12 X := Y
% 12.76/13.12 Y := Z
% 12.76/13.12 Z := T
% 12.76/13.12 T := U
% 12.76/13.12 U := X
% 12.76/13.12 end
% 12.76/13.12 permutation0:
% 12.76/13.12 0 ==> 2
% 12.76/13.12 1 ==> 0
% 12.76/13.12 2 ==> 1
% 12.76/13.12 end
% 12.76/13.12
% 12.76/13.12 resolution: (47414) {G1,W15,D2,L3,V5,M3} { ! cyclic( X, Y, Z, T ), cyclic
% 12.76/13.12 ( Y, Z, T, U ), ! cyclic( X, Y, U, Z ) }.
% 12.76/13.12 parent0[1]: (16) {G0,W15,D2,L3,V5,M3} I { ! cyclic( U, X, Y, Z ), ! cyclic
% 12.76/13.12 ( U, X, Y, T ), cyclic( X, Y, Z, T ) }.
% 12.76/13.12 parent1[1]: (13) {G0,W10,D2,L2,V4,M2} I { ! cyclic( X, Y, Z, T ), cyclic( X
% 12.76/13.12 , Y, T, Z ) }.
% 12.76/13.12 substitution0:
% 12.76/13.12 X := Y
% 12.76/13.12 Y := Z
% 12.76/13.12 Z := T
% 12.76/13.12 T := U
% 12.76/13.12 U := X
% 12.76/13.12 end
% 12.76/13.12 substitution1:
% 12.76/13.12 X := X
% 12.76/13.12 Y := Y
% 12.76/13.12 Z := U
% 12.76/13.12 T := Z
% 12.76/13.12 end
% 12.76/13.12
% 12.76/13.12 subsumption: (437) {G1,W15,D2,L3,V5,M3} R(16,13) { ! cyclic( X, Y, Z, T ),
% 12.76/13.12 cyclic( Y, Z, T, U ), ! cyclic( X, Y, U, Z ) }.
% 12.76/13.12 parent0: (47414) {G1,W15,D2,L3,V5,M3} { ! cyclic( X, Y, Z, T ), cyclic( Y
% 12.76/13.12 , Z, T, U ), ! cyclic( X, Y, U, Z ) }.
% 12.76/13.12 substitution0:
% 12.76/13.12 X := X
% 12.76/13.12 Y := Y
% 12.76/13.12 Z := Z
% 12.76/13.12 T := T
% 12.76/13.12 U := U
% 12.76/13.12 end
% 12.76/13.12 permutation0:
% 12.76/13.12 0 ==> 0
% 12.76/13.12 1 ==> 1
% 12.76/13.12 2 ==> 2
% 12.76/13.12 end
% 12.76/13.12
% 12.76/13.12 factor: (47416) {G1,W10,D2,L2,V4,M2} { ! cyclic( X, Y, Z, T ), cyclic( Z,
% 12.76/13.12 Y, T, T ) }.
% 12.76/13.12 parent0[0, 1]: (432) {G1,W15,D2,L3,V5,M3} R(16,15) { ! cyclic( X, Y, Z, T )
% 12.76/13.12 , ! cyclic( X, Y, Z, U ), cyclic( Z, Y, T, U ) }.
% 12.76/13.12 substitution0:
% 12.76/13.12 X := X
% 12.76/13.12 Y := Y
% 12.76/13.12 Z := Z
% 12.76/13.12 T := T
% 12.76/13.12 U := T
% 12.76/13.12 end
% 12.76/13.12
% 12.76/13.12 subsumption: (441) {G2,W10,D2,L2,V4,M2} F(432) { ! cyclic( X, Y, Z, T ),
% 12.76/13.12 cyclic( Z, Y, T, T ) }.
% 12.76/13.12 parent0: (47416) {G1,W10,D2,L2,V4,M2} { ! cyclic( X, Y, Z, T ), cyclic( Z
% 12.76/13.12 , Y, T, T ) }.
% 12.76/13.12 substitution0:
% 12.76/13.12 X := X
% 12.76/13.12 Y := Y
% 12.76/13.12 Z := Z
% 12.76/13.12 T := T
% 12.76/13.12 end
% 12.76/13.12 permutation0:
% 12.76/13.12 0 ==> 0
% 12.76/13.12 1 ==> 1
% 12.76/13.12 end
% 12.76/13.12
% 12.76/13.12 resolution: (47418) {G1,W18,D2,L2,V8,M2} { eqangle( U, W, V0, V1, X, Y, Z
% 12.76/13.12 , T ), ! eqangle( X, Y, U, W, Z, T, V0, V1 ) }.
% 12.76/13.12 parent0[0]: (19) {G0,W18,D2,L2,V8,M2} I { ! eqangle( X, Y, Z, T, U, W, V0,
% 12.76/13.12 V1 ), eqangle( U, W, V0, V1, X, Y, Z, T ) }.
% 12.76/13.12 parent1[1]: (20) {G0,W18,D2,L2,V8,M2} I { ! eqangle( X, Y, Z, T, U, W, V0,
% 12.76/13.12 V1 ), eqangle( X, Y, U, W, Z, T, V0, V1 ) }.
% 12.76/13.12 substitution0:
% 12.76/13.12 X := X
% 12.76/13.12 Y := Y
% 12.76/13.12 Z := Z
% 12.76/13.12 T := T
% 12.76/13.12 U := U
% 12.76/13.12 W := W
% 12.76/13.12 V0 := V0
% 12.76/13.12 V1 := V1
% 12.76/13.12 end
% 12.76/13.12 substitution1:
% 12.76/13.12 X := X
% 12.76/13.12 Y := Y
% 12.76/13.12 Z := U
% 12.76/13.12 T := W
% 12.76/13.12 U := Z
% 12.76/13.12 W := T
% 12.76/13.12 V0 := V0
% 12.76/13.12 V1 := V1
% 12.76/13.12 end
% 12.76/13.12
% 12.76/13.12 subsumption: (480) {G1,W18,D2,L2,V8,M2} R(20,19) { ! eqangle( X, Y, Z, T, U
% 12.76/13.12 , W, V0, V1 ), eqangle( Z, T, V0, V1, X, Y, U, W ) }.
% 12.76/13.12 parent0: (47418) {G1,W18,D2,L2,V8,M2} { eqangle( U, W, V0, V1, X, Y, Z, T
% 12.76/13.12 ), ! eqangle( X, Y, U, W, Z, T, V0, V1 ) }.
% 12.76/13.12 substitution0:
% 12.76/13.12 X := X
% 12.76/13.12 Y := Y
% 12.76/13.12 Z := U
% 12.76/13.12 T := W
% 12.76/13.12 U := Z
% 12.76/13.12 W := T
% 12.76/13.12 V0 := V0
% 12.76/13.12 V1 := V1
% 12.76/13.12 end
% 12.76/13.12 permutation0:
% 12.76/13.12 0 ==> 1
% 12.76/13.12 1 ==> 0
% 12.76/13.12 end
% 12.76/13.12
% 12.76/13.12 resolution: (47420) {G1,W8,D2,L2,V3,M2} { coll( Y, X, X ), ! coll( X, Z, Y
% 12.76/13.12 ) }.
% 12.76/13.12 parent0[0]: (1) {G0,W8,D2,L2,V3,M2} I { ! coll( X, Y, Z ), coll( Y, X, Z )
% 12.76/13.12 }.
% 12.76/13.12 parent1[0]: (378) {G4,W8,D2,L2,V3,M2} F(361) { coll( X, Y, X ), ! coll( X,
% 12.76/13.12 Z, Y ) }.
% 12.76/13.12 substitution0:
% 12.76/13.12 X := X
% 12.76/13.12 Y := Y
% 12.76/13.12 Z := X
% 12.76/13.12 end
% 12.76/13.12 substitution1:
% 12.76/13.12 X := X
% 12.76/13.12 Y := Y
% 12.76/13.12 Z := Z
% 12.76/13.12 end
% 12.76/13.12
% 12.76/13.12 subsumption: (723) {G5,W8,D2,L2,V3,M2} R(378,1) { ! coll( X, Y, Z ), coll(
% 12.76/13.12 Z, X, X ) }.
% 12.76/13.12 parent0: (47420) {G1,W8,D2,L2,V3,M2} { coll( Y, X, X ), ! coll( X, Z, Y )
% 12.76/13.12 }.
% 12.76/13.12 substitution0:
% 12.76/13.12 X := X
% 12.76/13.12 Y := Z
% 12.76/13.12 Z := Y
% 12.76/13.12 end
% 12.76/13.12 permutation0:
% 12.76/13.12 0 ==> 1
% 12.76/13.12 1 ==> 0
% 12.76/13.12 end
% 12.76/13.12
% 12.76/13.12 resolution: (47421) {G1,W8,D2,L2,V3,M2} { coll( Z, X, X ), ! coll( Y, X, Z
% 12.76/13.12 ) }.
% 12.76/13.12 parent0[0]: (723) {G5,W8,D2,L2,V3,M2} R(378,1) { ! coll( X, Y, Z ), coll( Z
% 12.76/13.12 , X, X ) }.
% 12.76/13.12 parent1[1]: (1) {G0,W8,D2,L2,V3,M2} I { ! coll( X, Y, Z ), coll( Y, X, Z )
% 12.76/13.12 }.
% 12.76/13.12 substitution0:
% 12.76/13.12 X := X
% 12.76/13.12 Y := Y
% 12.76/13.12 Z := Z
% 12.76/13.12 end
% 12.76/13.12 substitution1:
% 12.76/13.12 X := Y
% 12.76/13.12 Y := X
% 12.76/13.12 Z := Z
% 12.76/13.12 end
% 12.76/13.12
% 12.76/13.12 subsumption: (737) {G6,W8,D2,L2,V3,M2} R(723,1) { coll( X, Y, Y ), ! coll(
% 12.76/13.12 Z, Y, X ) }.
% 12.76/13.12 parent0: (47421) {G1,W8,D2,L2,V3,M2} { coll( Z, X, X ), ! coll( Y, X, Z )
% 12.76/13.12 }.
% 12.76/13.12 substitution0:
% 12.76/13.12 X := Y
% 12.76/13.12 Y := Z
% 12.76/13.12 Z := X
% 12.76/13.12 end
% 12.76/13.12 permutation0:
% 12.76/13.12 0 ==> 0
% 12.76/13.12 1 ==> 1
% 12.76/13.12 end
% 12.76/13.12
% 12.76/13.12 resolution: (47422) {G1,W8,D2,L2,V3,M2} { coll( Z, X, X ), ! coll( X, Z, Y
% 12.76/13.12 ) }.
% 12.76/13.12 parent0[0]: (723) {G5,W8,D2,L2,V3,M2} R(378,1) { ! coll( X, Y, Z ), coll( Z
% 12.76/13.12 , X, X ) }.
% 12.76/13.12 parent1[1]: (0) {G0,W8,D2,L2,V3,M2} I { ! coll( X, Y, Z ), coll( X, Z, Y )
% 12.76/13.12 }.
% 12.76/13.12 substitution0:
% 12.76/13.12 X := X
% 12.76/13.12 Y := Y
% 12.76/13.12 Z := Z
% 12.76/13.12 end
% 12.76/13.12 substitution1:
% 12.76/13.12 X := X
% 12.76/13.12 Y := Z
% 12.76/13.12 Z := Y
% 12.76/13.12 end
% 12.76/13.12
% 12.76/13.12 subsumption: (738) {G6,W8,D2,L2,V3,M2} R(723,0) { coll( X, Y, Y ), ! coll(
% 12.76/13.12 Y, X, Z ) }.
% 12.76/13.12 parent0: (47422) {G1,W8,D2,L2,V3,M2} { coll( Z, X, X ), ! coll( X, Z, Y )
% 12.76/13.12 }.
% 12.76/13.12 substitution0:
% 12.76/13.12 X := Y
% 12.76/13.12 Y := Z
% 12.76/13.12 Z := X
% 12.76/13.12 end
% 12.76/13.12 permutation0:
% 12.76/13.12 0 ==> 0
% 12.76/13.12 1 ==> 1
% 12.76/13.12 end
% 12.76/13.12
% 12.76/13.12 resolution: (47423) {G7,W8,D2,L2,V3,M2} { coll( X, Y, Y ), ! coll( X, Y, Z
% 12.76/13.12 ) }.
% 12.76/13.12 parent0[1]: (738) {G6,W8,D2,L2,V3,M2} R(723,0) { coll( X, Y, Y ), ! coll( Y
% 12.76/13.12 , X, Z ) }.
% 12.76/13.12 parent1[0]: (738) {G6,W8,D2,L2,V3,M2} R(723,0) { coll( X, Y, Y ), ! coll( Y
% 12.76/13.12 , X, Z ) }.
% 12.76/13.12 substitution0:
% 12.76/13.12 X := X
% 12.76/13.12 Y := Y
% 12.76/13.12 Z := X
% 12.76/13.12 end
% 12.76/13.12 substitution1:
% 12.76/13.12 X := Y
% 12.76/13.12 Y := X
% 12.76/13.12 Z := Z
% 12.76/13.12 end
% 12.76/13.12
% 12.76/13.12 subsumption: (742) {G7,W8,D2,L2,V3,M2} R(738,738) { ! coll( X, Y, Z ), coll
% 12.76/13.12 ( X, Y, Y ) }.
% 12.76/13.12 parent0: (47423) {G7,W8,D2,L2,V3,M2} { coll( X, Y, Y ), ! coll( X, Y, Z )
% 12.76/13.12 }.
% 12.76/13.12 substitution0:
% 12.76/13.12 X := X
% 12.76/13.12 Y := Y
% 12.76/13.12 Z := Z
% 12.76/13.12 end
% 12.76/13.12 permutation0:
% 12.76/13.12 0 ==> 1
% 12.76/13.12 1 ==> 0
% 12.76/13.12 end
% 12.76/13.12
% 12.76/13.12 resolution: (47424) {G1,W23,D2,L3,V10,M3} { ! eqangle( U, W, Z, T, V0, V1
% 12.76/13.12 , V2, V3 ), eqangle( X, Y, Z, T, V0, V1, V2, V3 ), ! para( X, Y, U, W )
% 12.76/13.12 }.
% 12.76/13.12 parent0[0]: (21) {G0,W27,D2,L3,V12,M3} I { ! eqangle( X, Y, Z, T, V2, V3,
% 12.76/13.12 V4, V5 ), ! eqangle( V2, V3, V4, V5, U, W, V0, V1 ), eqangle( X, Y, Z, T
% 12.76/13.12 , U, W, V0, V1 ) }.
% 12.76/13.12 parent1[1]: (39) {G0,W14,D2,L2,V6,M2} I { ! para( X, Y, Z, T ), eqangle( X
% 12.76/13.12 , Y, U, W, Z, T, U, W ) }.
% 12.76/13.12 substitution0:
% 12.76/13.12 X := X
% 12.76/13.12 Y := Y
% 12.76/13.12 Z := Z
% 12.76/13.12 T := T
% 12.76/13.12 U := V0
% 12.76/13.12 W := V1
% 12.76/13.12 V0 := V2
% 12.76/13.12 V1 := V3
% 12.76/13.12 V2 := U
% 12.76/13.12 V3 := W
% 12.76/13.12 V4 := Z
% 12.76/13.12 V5 := T
% 12.76/13.12 end
% 12.76/13.12 substitution1:
% 12.76/13.12 X := X
% 12.76/13.12 Y := Y
% 12.76/13.12 Z := U
% 12.76/13.12 T := W
% 12.76/13.12 U := Z
% 12.76/13.12 W := T
% 12.76/13.12 end
% 12.76/13.12
% 12.76/13.12 subsumption: (746) {G1,W23,D2,L3,V10,M3} R(39,21) { ! para( X, Y, Z, T ), !
% 12.76/13.12 eqangle( Z, T, U, W, V0, V1, V2, V3 ), eqangle( X, Y, U, W, V0, V1, V2,
% 12.76/13.12 V3 ) }.
% 12.76/13.12 parent0: (47424) {G1,W23,D2,L3,V10,M3} { ! eqangle( U, W, Z, T, V0, V1, V2
% 12.76/13.12 , V3 ), eqangle( X, Y, Z, T, V0, V1, V2, V3 ), ! para( X, Y, U, W ) }.
% 12.76/13.12 substitution0:
% 12.76/13.12 X := X
% 12.76/13.12 Y := Y
% 12.76/13.12 Z := U
% 12.76/13.12 T := W
% 12.76/13.12 U := Z
% 12.76/13.12 W := T
% 12.76/13.12 V0 := V0
% 12.76/13.12 V1 := V1
% 12.76/13.12 V2 := V2
% 12.76/13.12 V3 := V3
% 12.76/13.12 end
% 12.76/13.12 permutation0:
% 12.76/13.12 0 ==> 1
% 12.76/13.12 1 ==> 2
% 12.76/13.12 2 ==> 0
% 12.76/13.12 end
% 12.76/13.12
% 12.76/13.12 resolution: (47426) {G1,W14,D2,L2,V6,M2} { eqangle( Z, T, X, Y, Z, T, U, W
% 12.76/13.12 ), ! para( X, Y, U, W ) }.
% 12.76/13.12 parent0[0]: (18) {G0,W18,D2,L2,V8,M2} I { ! eqangle( X, Y, Z, T, U, W, V0,
% 12.76/13.12 V1 ), eqangle( Z, T, X, Y, V0, V1, U, W ) }.
% 12.76/13.12 parent1[1]: (39) {G0,W14,D2,L2,V6,M2} I { ! para( X, Y, Z, T ), eqangle( X
% 12.76/13.12 , Y, U, W, Z, T, U, W ) }.
% 12.76/13.12 substitution0:
% 12.76/13.12 X := X
% 12.76/13.12 Y := Y
% 12.76/13.12 Z := Z
% 12.76/13.12 T := T
% 12.76/13.12 U := U
% 12.76/13.12 W := W
% 12.76/13.12 V0 := Z
% 12.76/13.12 V1 := T
% 12.76/13.12 end
% 12.76/13.12 substitution1:
% 12.76/13.12 X := X
% 12.76/13.12 Y := Y
% 12.76/13.12 Z := U
% 12.76/13.12 T := W
% 12.76/13.12 U := Z
% 12.76/13.12 W := T
% 12.76/13.12 end
% 12.76/13.12
% 12.76/13.12 subsumption: (750) {G1,W14,D2,L2,V6,M2} R(39,18) { ! para( X, Y, Z, T ),
% 12.76/13.12 eqangle( U, W, X, Y, U, W, Z, T ) }.
% 12.76/13.12 parent0: (47426) {G1,W14,D2,L2,V6,M2} { eqangle( Z, T, X, Y, Z, T, U, W )
% 12.76/13.12 , ! para( X, Y, U, W ) }.
% 12.76/13.12 substitution0:
% 12.76/13.12 X := X
% 12.76/13.12 Y := Y
% 12.76/13.12 Z := U
% 12.76/13.12 T := W
% 12.76/13.12 U := Z
% 12.76/13.12 W := T
% 12.76/13.12 end
% 12.76/13.12 permutation0:
% 12.76/13.12 0 ==> 1
% 12.76/13.12 1 ==> 0
% 12.76/13.12 end
% 12.76/13.12
% 12.76/13.12 resolution: (47427) {G1,W14,D2,L2,V6,M2} { eqangle( X, Y, U, W, Z, T, U, W
% 12.76/13.12 ), ! para( X, Y, T, Z ) }.
% 12.76/13.12 parent0[0]: (39) {G0,W14,D2,L2,V6,M2} I { ! para( X, Y, Z, T ), eqangle( X
% 12.76/13.12 , Y, U, W, Z, T, U, W ) }.
% 12.76/13.12 parent1[1]: (3) {G0,W10,D2,L2,V4,M2} I { ! para( X, Y, Z, T ), para( X, Y,
% 12.76/13.12 T, Z ) }.
% 12.76/13.12 substitution0:
% 12.76/13.12 X := X
% 12.76/13.12 Y := Y
% 12.76/13.12 Z := Z
% 12.76/13.12 T := T
% 12.76/13.12 U := U
% 12.76/13.12 W := W
% 12.76/13.12 end
% 12.76/13.12 substitution1:
% 12.76/13.12 X := X
% 12.76/13.12 Y := Y
% 12.76/13.12 Z := T
% 12.76/13.12 T := Z
% 12.76/13.12 end
% 12.76/13.12
% 12.76/13.12 subsumption: (754) {G1,W14,D2,L2,V6,M2} R(39,3) { eqangle( X, Y, Z, T, U, W
% 12.76/13.12 , Z, T ), ! para( X, Y, W, U ) }.
% 12.76/13.12 parent0: (47427) {G1,W14,D2,L2,V6,M2} { eqangle( X, Y, U, W, Z, T, U, W )
% 12.76/13.12 , ! para( X, Y, T, Z ) }.
% 12.76/13.12 substitution0:
% 12.76/13.12 X := X
% 12.76/13.12 Y := Y
% 12.76/13.12 Z := U
% 12.76/13.12 T := W
% 12.76/13.12 U := Z
% 12.76/13.12 W := T
% 12.76/13.12 end
% 12.76/13.12 permutation0:
% 12.76/13.12 0 ==> 0
% 12.76/13.12 1 ==> 1
% 12.76/13.12 end
% 12.76/13.12
% 12.76/13.12 resolution: (47431) {G1,W12,D2,L3,V4,M3} { ! coll( X, Y, Z ), coll( Z, Y,
% 12.76/13.12 X ), ! coll( X, Y, T ) }.
% 12.76/13.12 parent0[1]: (2) {G0,W12,D2,L3,V4,M3} I { ! coll( X, T, Y ), ! coll( X, T, Z
% 12.76/13.12 ), coll( Y, Z, X ) }.
% 12.76/13.12 parent1[1]: (742) {G7,W8,D2,L2,V3,M2} R(738,738) { ! coll( X, Y, Z ), coll
% 12.76/13.12 ( X, Y, Y ) }.
% 12.76/13.12 substitution0:
% 12.76/13.12 X := X
% 12.76/13.12 Y := Z
% 12.76/13.12 Z := Y
% 12.76/13.12 T := Y
% 12.76/13.12 end
% 12.76/13.12 substitution1:
% 12.76/13.12 X := X
% 12.76/13.12 Y := Y
% 12.76/13.12 Z := T
% 12.76/13.12 end
% 12.76/13.12
% 12.76/13.12 subsumption: (756) {G8,W12,D2,L3,V4,M3} R(742,2) { ! coll( X, Y, Z ), !
% 12.76/13.12 coll( X, Y, T ), coll( T, Y, X ) }.
% 12.76/13.12 parent0: (47431) {G1,W12,D2,L3,V4,M3} { ! coll( X, Y, Z ), coll( Z, Y, X )
% 12.76/13.12 , ! coll( X, Y, T ) }.
% 12.76/13.12 substitution0:
% 12.76/13.12 X := X
% 12.76/13.12 Y := Y
% 12.76/13.12 Z := T
% 12.76/13.12 T := Z
% 12.76/13.12 end
% 12.76/13.12 permutation0:
% 12.76/13.12 0 ==> 1
% 12.76/13.12 1 ==> 2
% 12.76/13.12 2 ==> 0
% 12.76/13.12 end
% 12.76/13.12
% 12.76/13.12 factor: (47434) {G8,W8,D2,L2,V3,M2} { ! coll( X, Y, Z ), coll( Z, Y, X )
% 12.76/13.12 }.
% 12.76/13.12 parent0[0, 1]: (756) {G8,W12,D2,L3,V4,M3} R(742,2) { ! coll( X, Y, Z ), !
% 12.76/13.12 coll( X, Y, T ), coll( T, Y, X ) }.
% 12.76/13.12 substitution0:
% 12.76/13.12 X := X
% 12.76/13.12 Y := Y
% 12.76/13.12 Z := Z
% 12.76/13.12 T := Z
% 12.76/13.12 end
% 12.76/13.12
% 12.76/13.12 subsumption: (757) {G9,W8,D2,L2,V3,M2} F(756) { ! coll( X, Y, Z ), coll( Z
% 12.76/13.12 , Y, X ) }.
% 12.76/13.12 parent0: (47434) {G8,W8,D2,L2,V3,M2} { ! coll( X, Y, Z ), coll( Z, Y, X )
% 12.76/13.12 }.
% 12.76/13.12 substitution0:
% 12.76/13.12 X := X
% 12.76/13.12 Y := Y
% 12.76/13.12 Z := Z
% 12.76/13.12 end
% 12.76/13.12 permutation0:
% 12.76/13.12 0 ==> 0
% 12.76/13.12 1 ==> 1
% 12.76/13.12 end
% 12.76/13.12
% 12.76/13.12 resolution: (47435) {G7,W8,D2,L2,V3,M2} { coll( Y, Y, X ), ! coll( Z, Y, X
% 12.76/13.12 ) }.
% 12.76/13.12 parent0[0]: (757) {G9,W8,D2,L2,V3,M2} F(756) { ! coll( X, Y, Z ), coll( Z,
% 12.76/13.12 Y, X ) }.
% 12.76/13.12 parent1[0]: (737) {G6,W8,D2,L2,V3,M2} R(723,1) { coll( X, Y, Y ), ! coll( Z
% 12.76/13.12 , Y, X ) }.
% 12.76/13.12 substitution0:
% 12.76/13.12 X := X
% 12.76/13.12 Y := Y
% 12.76/13.12 Z := Y
% 12.76/13.12 end
% 12.76/13.12 substitution1:
% 12.76/13.12 X := X
% 12.76/13.12 Y := Y
% 12.76/13.12 Z := Z
% 12.76/13.12 end
% 12.76/13.12
% 12.76/13.12 subsumption: (761) {G10,W8,D2,L2,V3,M2} R(757,737) { coll( X, X, Y ), !
% 12.76/13.12 coll( Z, X, Y ) }.
% 12.76/13.12 parent0: (47435) {G7,W8,D2,L2,V3,M2} { coll( Y, Y, X ), ! coll( Z, Y, X )
% 12.76/13.12 }.
% 12.76/13.12 substitution0:
% 12.76/13.12 X := Y
% 12.76/13.12 Y := X
% 12.76/13.12 Z := Z
% 12.76/13.12 end
% 12.76/13.12 permutation0:
% 12.76/13.12 0 ==> 0
% 12.76/13.12 1 ==> 1
% 12.76/13.12 end
% 12.76/13.12
% 12.76/13.12 resolution: (47436) {G1,W25,D2,L5,V4,M5} { ! cyclic( X, Y, Z, X ), !
% 12.76/13.12 cyclic( X, Y, Z, Y ), ! cyclic( X, Y, Z, T ), cong( X, Y, X, Y ), !
% 12.76/13.12 cyclic( X, Y, Z, T ) }.
% 12.76/13.12 parent0[3]: (43) {G0,W29,D2,L5,V6,M5} I { ! cyclic( X, Y, U, Z ), ! cyclic
% 12.76/13.12 ( X, Y, U, T ), ! cyclic( X, Y, U, W ), ! eqangle( U, X, U, Y, W, Z, W, T
% 12.76/13.12 ), cong( X, Y, Z, T ) }.
% 12.76/13.12 parent1[1]: (40) {G0,W14,D2,L2,V4,M2} I { ! cyclic( X, Y, Z, T ), eqangle(
% 12.76/13.12 Z, X, Z, Y, T, X, T, Y ) }.
% 12.76/13.12 substitution0:
% 12.76/13.12 X := X
% 12.76/13.12 Y := Y
% 12.76/13.12 Z := X
% 12.76/13.12 T := Y
% 12.76/13.12 U := Z
% 12.76/13.12 W := T
% 12.76/13.12 end
% 12.76/13.12 substitution1:
% 12.76/13.12 X := X
% 12.76/13.12 Y := Y
% 12.76/13.12 Z := Z
% 12.76/13.12 T := T
% 12.76/13.12 end
% 12.76/13.12
% 12.76/13.12 factor: (47438) {G1,W20,D2,L4,V3,M4} { ! cyclic( X, Y, Z, X ), ! cyclic( X
% 12.76/13.12 , Y, Z, Y ), cong( X, Y, X, Y ), ! cyclic( X, Y, Z, X ) }.
% 12.76/13.12 parent0[0, 2]: (47436) {G1,W25,D2,L5,V4,M5} { ! cyclic( X, Y, Z, X ), !
% 12.76/13.12 cyclic( X, Y, Z, Y ), ! cyclic( X, Y, Z, T ), cong( X, Y, X, Y ), !
% 12.76/13.12 cyclic( X, Y, Z, T ) }.
% 12.76/13.12 substitution0:
% 12.76/13.12 X := X
% 12.76/13.12 Y := Y
% 12.76/13.12 Z := Z
% 12.76/13.12 T := X
% 12.76/13.12 end
% 12.76/13.12
% 12.76/13.12 subsumption: (1001) {G1,W20,D2,L4,V4,M4} R(43,40);f { ! cyclic( X, Y, Z, X
% 12.76/13.12 ), ! cyclic( X, Y, Z, Y ), ! cyclic( X, Y, Z, T ), cong( X, Y, X, Y )
% 12.76/13.12 }.
% 12.76/13.12 parent0: (47438) {G1,W20,D2,L4,V3,M4} { ! cyclic( X, Y, Z, X ), ! cyclic(
% 12.76/13.12 X, Y, Z, Y ), cong( X, Y, X, Y ), ! cyclic( X, Y, Z, X ) }.
% 12.76/13.12 substitution0:
% 12.76/13.12 X := X
% 12.76/13.12 Y := Y
% 12.76/13.12 Z := Z
% 12.76/13.12 end
% 12.76/13.12 permutation0:
% 12.76/13.12 0 ==> 0
% 12.76/13.12 1 ==> 1
% 12.76/13.12 2 ==> 3
% 12.76/13.12 3 ==> 0
% 12.76/13.12 end
% 12.76/13.12
% 12.76/13.12 factor: (47443) {G1,W15,D2,L3,V3,M3} { ! cyclic( X, Y, Z, X ), ! cyclic( X
% 12.76/13.12 , Y, Z, Y ), cong( X, Y, X, Y ) }.
% 12.76/13.12 parent0[0, 2]: (1001) {G1,W20,D2,L4,V4,M4} R(43,40);f { ! cyclic( X, Y, Z,
% 12.76/13.12 X ), ! cyclic( X, Y, Z, Y ), ! cyclic( X, Y, Z, T ), cong( X, Y, X, Y )
% 12.76/13.12 }.
% 12.76/13.12 substitution0:
% 12.76/13.12 X := X
% 12.76/13.12 Y := Y
% 12.76/13.12 Z := Z
% 12.76/13.12 T := X
% 12.76/13.12 end
% 12.76/13.12
% 12.76/13.12 subsumption: (1033) {G2,W15,D2,L3,V3,M3} F(1001) { ! cyclic( X, Y, Z, X ),
% 12.76/13.12 ! cyclic( X, Y, Z, Y ), cong( X, Y, X, Y ) }.
% 12.76/13.12 parent0: (47443) {G1,W15,D2,L3,V3,M3} { ! cyclic( X, Y, Z, X ), ! cyclic(
% 12.76/13.12 X, Y, Z, Y ), cong( X, Y, X, Y ) }.
% 12.76/13.12 substitution0:
% 12.76/13.12 X := X
% 12.76/13.12 Y := Y
% 12.76/13.12 Z := Z
% 12.76/13.12 end
% 12.76/13.12 permutation0:
% 12.76/13.12 0 ==> 0
% 12.76/13.12 1 ==> 1
% 12.76/13.12 2 ==> 2
% 12.76/13.12 end
% 12.76/13.12
% 12.76/13.12 resolution: (47445) {G1,W8,D2,L2,V3,M2} { coll( X, X, Y ), ! alpha1( Y, T
% 12.76/13.12 , X ) }.
% 12.76/13.12 parent0[1]: (761) {G10,W8,D2,L2,V3,M2} R(757,737) { coll( X, X, Y ), ! coll
% 12.76/13.12 ( Z, X, Y ) }.
% 12.76/13.12 parent1[1]: (97) {G0,W11,D3,L2,V4,M2} I { ! alpha1( X, Y, Z ), coll( skol11
% 12.76/13.12 ( X, T, Z ), Z, X ) }.
% 12.76/13.12 substitution0:
% 12.76/13.12 X := X
% 12.76/13.12 Y := Y
% 12.76/13.12 Z := skol11( Y, Z, X )
% 12.76/13.12 end
% 12.76/13.12 substitution1:
% 12.76/13.12 X := Y
% 12.76/13.12 Y := T
% 12.76/13.12 Z := X
% 12.76/13.12 T := Z
% 12.76/13.12 end
% 12.76/13.12
% 12.76/13.12 subsumption: (4336) {G11,W8,D2,L2,V3,M2} R(97,761) { ! alpha1( X, Y, Z ),
% 12.76/13.12 coll( Z, Z, X ) }.
% 12.76/13.12 parent0: (47445) {G1,W8,D2,L2,V3,M2} { coll( X, X, Y ), ! alpha1( Y, T, X
% 12.76/13.12 ) }.
% 12.76/13.12 substitution0:
% 12.76/13.12 X := Z
% 12.76/13.12 Y := X
% 12.76/13.12 Z := T
% 12.76/13.12 T := Y
% 12.76/13.12 end
% 12.76/13.12 permutation0:
% 12.76/13.12 0 ==> 1
% 12.76/13.12 1 ==> 0
% 12.76/13.12 end
% 12.76/13.12
% 12.76/13.12 resolution: (47446) {G1,W7,D3,L1,V0,M1} { perp( skol12( skol20, skol26 ),
% 12.76/13.12 skol20, skol20, skol26 ) }.
% 12.76/13.12 parent0[0]: (100) {G0,W12,D3,L2,V4,M2} I { ! circle( Y, X, Z, T ), perp(
% 12.76/13.12 skol12( X, Y ), X, X, Y ) }.
% 12.76/13.12 parent1[0]: (116) {G0,W5,D2,L1,V0,M1} I { circle( skol26, skol20, skol22,
% 12.76/13.12 skol23 ) }.
% 12.76/13.12 substitution0:
% 12.76/13.12 X := skol20
% 12.76/13.12 Y := skol26
% 12.76/13.12 Z := skol22
% 12.76/13.12 T := skol23
% 12.76/13.12 end
% 12.76/13.12 substitution1:
% 12.76/13.12 end
% 12.76/13.12
% 12.76/13.12 subsumption: (4836) {G1,W7,D3,L1,V0,M1} R(100,116) { perp( skol12( skol20,
% 12.76/13.12 skol26 ), skol20, skol20, skol26 ) }.
% 12.76/13.12 parent0: (47446) {G1,W7,D3,L1,V0,M1} { perp( skol12( skol20, skol26 ),
% 12.76/13.12 skol20, skol20, skol26 ) }.
% 12.76/13.12 substitution0:
% 12.76/13.12 end
% 12.76/13.12 permutation0:
% 12.76/13.12 0 ==> 0
% 12.76/13.12 end
% 12.76/13.12
% 12.76/13.12 resolution: (47447) {G1,W7,D3,L1,V0,M1} { perp( skol20, skol26, skol12(
% 12.76/13.12 skol20, skol26 ), skol20 ) }.
% 12.76/13.12 parent0[0]: (7) {G0,W10,D2,L2,V4,M2} I { ! perp( X, Y, Z, T ), perp( Z, T,
% 12.76/13.12 X, Y ) }.
% 12.76/13.12 parent1[0]: (4836) {G1,W7,D3,L1,V0,M1} R(100,116) { perp( skol12( skol20,
% 12.76/13.12 skol26 ), skol20, skol20, skol26 ) }.
% 12.76/13.13 substitution0:
% 12.76/13.13 X := skol12( skol20, skol26 )
% 12.76/13.13 Y := skol20
% 12.76/13.13 Z := skol20
% 12.76/13.13 T := skol26
% 12.76/13.13 end
% 12.76/13.13 substitution1:
% 12.76/13.13 end
% 12.76/13.13
% 12.76/13.13 subsumption: (4854) {G2,W7,D3,L1,V0,M1} R(4836,7) { perp( skol20, skol26,
% 12.76/13.13 skol12( skol20, skol26 ), skol20 ) }.
% 12.76/13.13 parent0: (47447) {G1,W7,D3,L1,V0,M1} { perp( skol20, skol26, skol12(
% 12.76/13.13 skol20, skol26 ), skol20 ) }.
% 12.76/13.13 substitution0:
% 12.76/13.13 end
% 12.76/13.13 permutation0:
% 12.76/13.13 0 ==> 0
% 12.76/13.13 end
% 12.76/13.13
% 12.76/13.13 resolution: (47448) {G1,W7,D3,L1,V0,M1} { perp( skol20, skol26, skol20,
% 12.76/13.13 skol12( skol20, skol26 ) ) }.
% 12.76/13.13 parent0[0]: (6) {G0,W10,D2,L2,V4,M2} I { ! perp( X, Y, Z, T ), perp( X, Y,
% 12.76/13.13 T, Z ) }.
% 12.76/13.13 parent1[0]: (4854) {G2,W7,D3,L1,V0,M1} R(4836,7) { perp( skol20, skol26,
% 12.76/13.13 skol12( skol20, skol26 ), skol20 ) }.
% 12.76/13.13 substitution0:
% 12.76/13.13 X := skol20
% 12.76/13.13 Y := skol26
% 12.76/13.13 Z := skol12( skol20, skol26 )
% 12.76/13.13 T := skol20
% 12.76/13.13 end
% 12.76/13.13 substitution1:
% 12.76/13.13 end
% 12.76/13.13
% 12.76/13.13 subsumption: (4865) {G3,W7,D3,L1,V0,M1} R(4854,6) { perp( skol20, skol26,
% 12.76/13.13 skol20, skol12( skol20, skol26 ) ) }.
% 12.76/13.13 parent0: (47448) {G1,W7,D3,L1,V0,M1} { perp( skol20, skol26, skol20,
% 12.76/13.13 skol12( skol20, skol26 ) ) }.
% 12.76/13.13 substitution0:
% 12.76/13.13 end
% 12.76/13.13 permutation0:
% 12.76/13.13 0 ==> 0
% 12.76/13.13 end
% 12.76/13.13
% 12.76/13.13 resolution: (47449) {G1,W7,D3,L1,V0,M1} { perp( skol20, skol12( skol20,
% 12.76/13.13 skol26 ), skol20, skol26 ) }.
% 12.76/13.13 parent0[0]: (7) {G0,W10,D2,L2,V4,M2} I { ! perp( X, Y, Z, T ), perp( Z, T,
% 12.76/13.13 X, Y ) }.
% 12.76/13.13 parent1[0]: (4865) {G3,W7,D3,L1,V0,M1} R(4854,6) { perp( skol20, skol26,
% 12.76/13.13 skol20, skol12( skol20, skol26 ) ) }.
% 12.76/13.13 substitution0:
% 12.76/13.13 X := skol20
% 12.76/13.13 Y := skol26
% 12.76/13.13 Z := skol20
% 12.76/13.13 T := skol12( skol20, skol26 )
% 12.76/13.13 end
% 12.76/13.13 substitution1:
% 12.76/13.13 end
% 12.76/13.13
% 12.76/13.13 subsumption: (4875) {G4,W7,D3,L1,V0,M1} R(4865,7) { perp( skol20, skol12(
% 12.76/13.13 skol20, skol26 ), skol20, skol26 ) }.
% 12.76/13.13 parent0: (47449) {G1,W7,D3,L1,V0,M1} { perp( skol20, skol12( skol20,
% 12.76/13.13 skol26 ), skol20, skol26 ) }.
% 12.76/13.13 substitution0:
% 12.76/13.13 end
% 12.76/13.13 permutation0:
% 12.76/13.13 0 ==> 0
% 12.76/13.13 end
% 12.76/13.13
% 12.76/13.13 resolution: (47450) {G1,W11,D3,L2,V0,M2} { ! perp( skol20, skol12( skol20
% 12.76/13.13 , skol26 ), skol20, skol26 ), alpha1( skol20, skol20, skol26 ) }.
% 12.76/13.13 parent0[0]: (96) {G0,W14,D2,L3,V4,M3} I { ! perp( X, T, Y, Z ), ! perp( Y,
% 12.76/13.13 T, X, Z ), alpha1( X, Y, Z ) }.
% 12.76/13.13 parent1[0]: (4875) {G4,W7,D3,L1,V0,M1} R(4865,7) { perp( skol20, skol12(
% 12.76/13.13 skol20, skol26 ), skol20, skol26 ) }.
% 12.76/13.13 substitution0:
% 12.76/13.13 X := skol20
% 12.76/13.13 Y := skol20
% 12.76/13.13 Z := skol26
% 12.76/13.13 T := skol12( skol20, skol26 )
% 12.76/13.13 end
% 12.76/13.13 substitution1:
% 12.76/13.13 end
% 12.76/13.13
% 12.76/13.13 resolution: (47451) {G2,W4,D2,L1,V0,M1} { alpha1( skol20, skol20, skol26 )
% 12.76/13.13 }.
% 12.76/13.13 parent0[0]: (47450) {G1,W11,D3,L2,V0,M2} { ! perp( skol20, skol12( skol20
% 12.76/13.13 , skol26 ), skol20, skol26 ), alpha1( skol20, skol20, skol26 ) }.
% 12.76/13.13 parent1[0]: (4875) {G4,W7,D3,L1,V0,M1} R(4865,7) { perp( skol20, skol12(
% 12.76/13.13 skol20, skol26 ), skol20, skol26 ) }.
% 12.76/13.13 substitution0:
% 12.76/13.13 end
% 12.76/13.13 substitution1:
% 12.76/13.13 end
% 12.76/13.13
% 12.76/13.13 subsumption: (5040) {G5,W4,D2,L1,V0,M1} R(4875,96);r(4875) { alpha1( skol20
% 12.76/13.13 , skol20, skol26 ) }.
% 12.76/13.13 parent0: (47451) {G2,W4,D2,L1,V0,M1} { alpha1( skol20, skol20, skol26 )
% 12.76/13.13 }.
% 12.76/13.13 substitution0:
% 12.76/13.13 end
% 12.76/13.13 permutation0:
% 12.76/13.13 0 ==> 0
% 12.76/13.13 end
% 12.76/13.13
% 12.76/13.13 resolution: (47452) {G1,W7,D3,L1,V0,M1} { perp( skol20, skol12( skol20,
% 12.76/13.13 skol26 ), skol26, skol20 ) }.
% 12.76/13.13 parent0[0]: (6) {G0,W10,D2,L2,V4,M2} I { ! perp( X, Y, Z, T ), perp( X, Y,
% 12.76/13.13 T, Z ) }.
% 12.76/13.13 parent1[0]: (4875) {G4,W7,D3,L1,V0,M1} R(4865,7) { perp( skol20, skol12(
% 12.76/13.13 skol20, skol26 ), skol20, skol26 ) }.
% 12.76/13.13 substitution0:
% 12.76/13.13 X := skol20
% 12.76/13.13 Y := skol12( skol20, skol26 )
% 12.76/13.13 Z := skol20
% 12.76/13.13 T := skol26
% 12.76/13.13 end
% 12.76/13.13 substitution1:
% 12.76/13.13 end
% 12.76/13.13
% 12.76/13.13 subsumption: (5048) {G5,W7,D3,L1,V0,M1} R(4875,6) { perp( skol20, skol12(
% 12.76/13.13 skol20, skol26 ), skol26, skol20 ) }.
% 12.76/13.13 parent0: (47452) {G1,W7,D3,L1,V0,M1} { perp( skol20, skol12( skol20,
% 12.76/13.13 skol26 ), skol26, skol20 ) }.
% 12.76/13.13 substitution0:
% 12.76/13.13 end
% 12.76/13.13 permutation0:
% 12.76/13.13 0 ==> 0
% 12.76/13.13 end
% 12.76/13.13
% 12.76/13.13 resolution: (47453) {G6,W4,D2,L1,V0,M1} { coll( skol26, skol26, skol20 )
% 12.76/13.13 }.
% 12.76/13.13 parent0[0]: (4336) {G11,W8,D2,L2,V3,M2} R(97,761) { ! alpha1( X, Y, Z ),
% 12.76/13.13 coll( Z, Z, X ) }.
% 12.76/13.13 parent1[0]: (5040) {G5,W4,D2,L1,V0,M1} R(4875,96);r(4875) { alpha1( skol20
% 12.76/13.13 , skol20, skol26 ) }.
% 12.76/13.13 substitution0:
% 12.76/13.13 X := skol20
% 12.76/13.13 Y := skol20
% 12.76/13.13 Z := skol26
% 12.76/13.13 end
% 12.76/13.13 substitution1:
% 12.76/13.13 end
% 12.76/13.13
% 12.76/13.13 subsumption: (5217) {G12,W4,D2,L1,V0,M1} R(5040,4336) { coll( skol26,
% 12.76/13.13 skol26, skol20 ) }.
% 12.76/13.13 parent0: (47453) {G6,W4,D2,L1,V0,M1} { coll( skol26, skol26, skol20 ) }.
% 12.76/13.13 substitution0:
% 12.76/13.13 end
% 12.76/13.13 permutation0:
% 12.76/13.13 0 ==> 0
% 12.76/13.13 end
% 12.76/13.13
% 12.76/13.13 resolution: (47454) {G1,W14,D2,L2,V1,M2} { ! eqangle( skol26, X, skol26,
% 12.76/13.13 skol20, skol26, X, skol26, skol20 ), cyclic( X, skol20, skol26, skol26 )
% 12.76/13.13 }.
% 12.76/13.13 parent0[1]: (42) {G0,W18,D2,L3,V4,M3} I { ! eqangle( Z, X, Z, Y, T, X, T, Y
% 12.76/13.13 ), ! coll( Z, T, Y ), cyclic( X, Y, Z, T ) }.
% 12.76/13.13 parent1[0]: (5217) {G12,W4,D2,L1,V0,M1} R(5040,4336) { coll( skol26, skol26
% 12.76/13.13 , skol20 ) }.
% 12.76/13.13 substitution0:
% 12.76/13.13 X := X
% 12.76/13.13 Y := skol20
% 12.76/13.13 Z := skol26
% 12.76/13.13 T := skol26
% 12.76/13.13 end
% 12.76/13.13 substitution1:
% 12.76/13.13 end
% 12.76/13.13
% 12.76/13.13 subsumption: (5404) {G13,W14,D2,L2,V1,M2} R(5217,42) { ! eqangle( skol26, X
% 12.76/13.13 , skol26, skol20, skol26, X, skol26, skol20 ), cyclic( X, skol20, skol26
% 12.76/13.13 , skol26 ) }.
% 12.76/13.13 parent0: (47454) {G1,W14,D2,L2,V1,M2} { ! eqangle( skol26, X, skol26,
% 12.76/13.13 skol20, skol26, X, skol26, skol20 ), cyclic( X, skol20, skol26, skol26 )
% 12.76/13.13 }.
% 12.76/13.13 substitution0:
% 12.76/13.13 X := X
% 12.76/13.13 end
% 12.76/13.13 permutation0:
% 12.76/13.13 0 ==> 0
% 12.76/13.13 1 ==> 1
% 12.76/13.13 end
% 12.76/13.13
% 12.76/13.13 resolution: (47455) {G1,W7,D3,L1,V0,M1} { perp( skol26, skol20, skol20,
% 12.76/13.13 skol12( skol20, skol26 ) ) }.
% 12.76/13.13 parent0[0]: (7) {G0,W10,D2,L2,V4,M2} I { ! perp( X, Y, Z, T ), perp( Z, T,
% 12.76/13.13 X, Y ) }.
% 12.76/13.13 parent1[0]: (5048) {G5,W7,D3,L1,V0,M1} R(4875,6) { perp( skol20, skol12(
% 12.76/13.13 skol20, skol26 ), skol26, skol20 ) }.
% 12.76/13.13 substitution0:
% 12.76/13.13 X := skol20
% 12.76/13.13 Y := skol12( skol20, skol26 )
% 12.76/13.13 Z := skol26
% 12.76/13.13 T := skol20
% 12.76/13.13 end
% 12.76/13.13 substitution1:
% 12.76/13.13 end
% 12.76/13.13
% 12.76/13.13 subsumption: (6434) {G6,W7,D3,L1,V0,M1} R(5048,7) { perp( skol26, skol20,
% 12.76/13.13 skol20, skol12( skol20, skol26 ) ) }.
% 12.76/13.13 parent0: (47455) {G1,W7,D3,L1,V0,M1} { perp( skol26, skol20, skol20,
% 12.76/13.13 skol12( skol20, skol26 ) ) }.
% 12.76/13.13 substitution0:
% 12.76/13.13 end
% 12.76/13.13 permutation0:
% 12.76/13.13 0 ==> 0
% 12.76/13.13 end
% 12.76/13.13
% 12.76/13.13 resolution: (47456) {G1,W7,D3,L1,V0,M1} { perp( skol26, skol20, skol12(
% 12.76/13.13 skol20, skol26 ), skol20 ) }.
% 12.76/13.13 parent0[0]: (6) {G0,W10,D2,L2,V4,M2} I { ! perp( X, Y, Z, T ), perp( X, Y,
% 12.76/13.13 T, Z ) }.
% 12.76/13.13 parent1[0]: (6434) {G6,W7,D3,L1,V0,M1} R(5048,7) { perp( skol26, skol20,
% 12.76/13.13 skol20, skol12( skol20, skol26 ) ) }.
% 12.76/13.13 substitution0:
% 12.76/13.13 X := skol26
% 12.76/13.13 Y := skol20
% 12.76/13.13 Z := skol20
% 12.76/13.13 T := skol12( skol20, skol26 )
% 12.76/13.13 end
% 12.76/13.13 substitution1:
% 12.76/13.13 end
% 12.76/13.13
% 12.76/13.13 subsumption: (6663) {G7,W7,D3,L1,V0,M1} R(6434,6) { perp( skol26, skol20,
% 12.76/13.13 skol12( skol20, skol26 ), skol20 ) }.
% 12.76/13.13 parent0: (47456) {G1,W7,D3,L1,V0,M1} { perp( skol26, skol20, skol12(
% 12.76/13.13 skol20, skol26 ), skol20 ) }.
% 12.76/13.13 substitution0:
% 12.76/13.13 end
% 12.76/13.13 permutation0:
% 12.76/13.13 0 ==> 0
% 12.76/13.13 end
% 12.76/13.13
% 12.76/13.13 resolution: (47457) {G3,W5,D2,L1,V0,M1} { para( skol26, skol20, skol26,
% 12.76/13.13 skol20 ) }.
% 12.76/13.13 parent0[0]: (299) {G2,W10,D2,L2,V4,M2} F(291) { ! perp( X, Y, Z, T ), para
% 12.76/13.13 ( X, Y, X, Y ) }.
% 12.76/13.13 parent1[0]: (6663) {G7,W7,D3,L1,V0,M1} R(6434,6) { perp( skol26, skol20,
% 12.76/13.13 skol12( skol20, skol26 ), skol20 ) }.
% 12.76/13.13 substitution0:
% 12.76/13.13 X := skol26
% 12.76/13.13 Y := skol20
% 12.76/13.13 Z := skol12( skol20, skol26 )
% 12.76/13.13 T := skol20
% 12.76/13.13 end
% 12.76/13.13 substitution1:
% 12.76/13.13 end
% 12.76/13.13
% 12.76/13.13 subsumption: (21878) {G8,W5,D2,L1,V0,M1} R(299,6663) { para( skol26, skol20
% 12.76/13.13 , skol26, skol20 ) }.
% 12.76/13.13 parent0: (47457) {G3,W5,D2,L1,V0,M1} { para( skol26, skol20, skol26,
% 12.76/13.13 skol20 ) }.
% 12.76/13.13 substitution0:
% 12.76/13.13 end
% 12.76/13.13 permutation0:
% 12.76/13.13 0 ==> 0
% 12.76/13.13 end
% 12.76/13.13
% 12.76/13.13 resolution: (47458) {G2,W9,D2,L1,V2,M1} { eqangle( X, Y, skol26, skol20, X
% 12.76/13.13 , Y, skol26, skol20 ) }.
% 12.76/13.13 parent0[0]: (750) {G1,W14,D2,L2,V6,M2} R(39,18) { ! para( X, Y, Z, T ),
% 12.76/13.13 eqangle( U, W, X, Y, U, W, Z, T ) }.
% 12.76/13.13 parent1[0]: (21878) {G8,W5,D2,L1,V0,M1} R(299,6663) { para( skol26, skol20
% 12.76/13.13 , skol26, skol20 ) }.
% 12.76/13.13 substitution0:
% 12.76/13.13 X := skol26
% 12.76/13.13 Y := skol20
% 12.76/13.13 Z := skol26
% 12.76/13.13 T := skol20
% 12.76/13.13 U := X
% 12.76/13.13 W := Y
% 12.76/13.13 end
% 12.76/13.13 substitution1:
% 12.76/13.13 end
% 12.76/13.13
% 12.76/13.13 subsumption: (39004) {G9,W9,D2,L1,V2,M1} R(750,21878) { eqangle( X, Y,
% 12.76/13.13 skol26, skol20, X, Y, skol26, skol20 ) }.
% 12.76/13.13 parent0: (47458) {G2,W9,D2,L1,V2,M1} { eqangle( X, Y, skol26, skol20, X, Y
% 12.76/13.13 , skol26, skol20 ) }.
% 12.76/13.13 substitution0:
% 12.76/13.13 X := X
% 12.76/13.13 Y := Y
% 12.76/13.13 end
% 12.76/13.13 permutation0:
% 12.76/13.13 0 ==> 0
% 12.76/13.13 end
% 12.76/13.13
% 12.76/13.13 resolution: (47459) {G10,W5,D2,L1,V1,M1} { cyclic( X, skol20, skol26,
% 12.76/13.13 skol26 ) }.
% 12.76/13.13 parent0[0]: (5404) {G13,W14,D2,L2,V1,M2} R(5217,42) { ! eqangle( skol26, X
% 12.76/13.13 , skol26, skol20, skol26, X, skol26, skol20 ), cyclic( X, skol20, skol26
% 12.76/13.13 , skol26 ) }.
% 12.76/13.13 parent1[0]: (39004) {G9,W9,D2,L1,V2,M1} R(750,21878) { eqangle( X, Y,
% 12.76/13.13 skol26, skol20, X, Y, skol26, skol20 ) }.
% 12.76/13.13 substitution0:
% 12.76/13.13 X := X
% 12.76/13.13 end
% 12.76/13.13 substitution1:
% 12.76/13.13 X := skol26
% 12.76/13.13 Y := X
% 12.76/13.13 end
% 12.76/13.13
% 12.76/13.13 subsumption: (42120) {G14,W5,D2,L1,V1,M1} S(5404);r(39004) { cyclic( X,
% 12.76/13.13 skol20, skol26, skol26 ) }.
% 12.76/13.13 parent0: (47459) {G10,W5,D2,L1,V1,M1} { cyclic( X, skol20, skol26, skol26
% 12.76/13.13 ) }.
% 12.76/13.13 substitution0:
% 12.76/13.13 X := X
% 12.76/13.13 end
% 12.76/13.13 permutation0:
% 12.76/13.13 0 ==> 0
% 12.76/13.13 end
% 12.76/13.13
% 12.76/13.13 resolution: (47460) {G2,W5,D2,L1,V1,M1} { cyclic( skol20, X, skol26,
% 12.76/13.13 skol26 ) }.
% 12.76/13.13 parent0[1]: (414) {G1,W10,D2,L2,V4,M2} R(15,13) { cyclic( X, Y, Z, T ), !
% 12.76/13.13 cyclic( Y, X, T, Z ) }.
% 12.76/13.13 parent1[0]: (42120) {G14,W5,D2,L1,V1,M1} S(5404);r(39004) { cyclic( X,
% 12.76/13.13 skol20, skol26, skol26 ) }.
% 12.76/13.13 substitution0:
% 12.76/13.13 X := skol20
% 12.76/13.13 Y := X
% 12.76/13.13 Z := skol26
% 12.76/13.13 T := skol26
% 12.76/13.13 end
% 12.76/13.13 substitution1:
% 12.76/13.13 X := X
% 12.76/13.13 end
% 12.76/13.13
% 12.76/13.13 subsumption: (42149) {G15,W5,D2,L1,V1,M1} R(42120,414) { cyclic( skol20, X
% 12.76/13.13 , skol26, skol26 ) }.
% 12.76/13.13 parent0: (47460) {G2,W5,D2,L1,V1,M1} { cyclic( skol20, X, skol26, skol26 )
% 12.76/13.13 }.
% 12.76/13.13 substitution0:
% 12.76/13.13 X := X
% 12.76/13.13 end
% 12.76/13.13 permutation0:
% 12.76/13.13 0 ==> 0
% 12.76/13.13 end
% 12.76/13.13
% 12.76/13.13 resolution: (47461) {G3,W5,D2,L1,V1,M1} { cyclic( skol26, X, skol26,
% 12.76/13.13 skol26 ) }.
% 12.76/13.13 parent0[0]: (441) {G2,W10,D2,L2,V4,M2} F(432) { ! cyclic( X, Y, Z, T ),
% 12.76/13.13 cyclic( Z, Y, T, T ) }.
% 12.76/13.13 parent1[0]: (42149) {G15,W5,D2,L1,V1,M1} R(42120,414) { cyclic( skol20, X,
% 12.76/13.13 skol26, skol26 ) }.
% 12.76/13.13 substitution0:
% 12.76/13.13 X := skol20
% 12.76/13.13 Y := X
% 12.76/13.13 Z := skol26
% 12.76/13.13 T := skol26
% 12.76/13.13 end
% 12.76/13.13 substitution1:
% 12.76/13.13 X := X
% 12.76/13.13 end
% 12.76/13.13
% 12.76/13.13 subsumption: (42158) {G16,W5,D2,L1,V1,M1} R(42149,441) { cyclic( skol26, X
% 12.76/13.13 , skol26, skol26 ) }.
% 12.76/13.13 parent0: (47461) {G3,W5,D2,L1,V1,M1} { cyclic( skol26, X, skol26, skol26 )
% 12.76/13.13 }.
% 12.76/13.13 substitution0:
% 12.76/13.13 X := X
% 12.76/13.13 end
% 12.76/13.13 permutation0:
% 12.76/13.13 0 ==> 0
% 12.76/13.13 end
% 12.76/13.13
% 12.76/13.13 resolution: (47462) {G2,W5,D2,L1,V1,M1} { cyclic( skol26, skol26, X,
% 12.76/13.13 skol26 ) }.
% 12.76/13.13 parent0[1]: (412) {G1,W10,D2,L2,V4,M2} R(15,14) { cyclic( X, Y, Z, T ), !
% 12.76/13.13 cyclic( Y, Z, X, T ) }.
% 12.76/13.13 parent1[0]: (42158) {G16,W5,D2,L1,V1,M1} R(42149,441) { cyclic( skol26, X,
% 12.76/13.13 skol26, skol26 ) }.
% 12.76/13.13 substitution0:
% 12.76/13.13 X := skol26
% 12.76/13.13 Y := skol26
% 12.76/13.13 Z := X
% 12.76/13.13 T := skol26
% 12.76/13.13 end
% 12.76/13.13 substitution1:
% 12.76/13.13 X := X
% 12.76/13.13 end
% 12.76/13.13
% 12.76/13.13 subsumption: (42430) {G17,W5,D2,L1,V1,M1} R(42158,412) { cyclic( skol26,
% 12.76/13.13 skol26, X, skol26 ) }.
% 12.76/13.13 parent0: (47462) {G2,W5,D2,L1,V1,M1} { cyclic( skol26, skol26, X, skol26 )
% 12.76/13.13 }.
% 12.76/13.13 substitution0:
% 12.76/13.13 X := X
% 12.76/13.13 end
% 12.76/13.13 permutation0:
% 12.76/13.13 0 ==> 0
% 12.76/13.13 end
% 12.76/13.13
% 12.76/13.13 resolution: (47463) {G2,W5,D2,L1,V1,M1} { cyclic( skol26, skol26, skol26,
% 12.76/13.13 X ) }.
% 12.76/13.13 parent0[0]: (404) {G1,W10,D2,L2,V4,M2} R(14,13) { ! cyclic( X, Y, Z, T ),
% 12.76/13.13 cyclic( X, Z, T, Y ) }.
% 12.76/13.13 parent1[0]: (42158) {G16,W5,D2,L1,V1,M1} R(42149,441) { cyclic( skol26, X,
% 12.76/13.13 skol26, skol26 ) }.
% 12.76/13.13 substitution0:
% 12.76/13.13 X := skol26
% 12.76/13.13 Y := X
% 12.76/13.13 Z := skol26
% 12.76/13.13 T := skol26
% 12.76/13.13 end
% 12.76/13.13 substitution1:
% 12.76/13.13 X := X
% 12.76/13.13 end
% 12.76/13.13
% 12.76/13.13 subsumption: (42431) {G17,W5,D2,L1,V1,M1} R(42158,404) { cyclic( skol26,
% 12.76/13.13 skol26, skol26, X ) }.
% 12.76/13.13 parent0: (47463) {G2,W5,D2,L1,V1,M1} { cyclic( skol26, skol26, skol26, X )
% 12.76/13.13 }.
% 12.76/13.13 substitution0:
% 12.76/13.13 X := X
% 12.76/13.13 end
% 12.76/13.13 permutation0:
% 12.76/13.13 0 ==> 0
% 12.76/13.13 end
% 12.76/13.13
% 12.76/13.13 resolution: (47465) {G2,W10,D2,L2,V2,M2} { ! cyclic( skol26, skol26,
% 12.76/13.13 skol26, X ), cyclic( skol26, skol26, X, Y ) }.
% 12.76/13.13 parent0[2]: (437) {G1,W15,D2,L3,V5,M3} R(16,13) { ! cyclic( X, Y, Z, T ),
% 12.76/13.13 cyclic( Y, Z, T, U ), ! cyclic( X, Y, U, Z ) }.
% 12.76/13.13 parent1[0]: (42430) {G17,W5,D2,L1,V1,M1} R(42158,412) { cyclic( skol26,
% 12.76/13.13 skol26, X, skol26 ) }.
% 12.76/13.13 substitution0:
% 12.76/13.13 X := skol26
% 12.76/13.13 Y := skol26
% 12.76/13.13 Z := skol26
% 12.76/13.13 T := X
% 12.76/13.13 U := Y
% 12.76/13.13 end
% 12.76/13.13 substitution1:
% 12.76/13.13 X := Y
% 12.76/13.13 end
% 12.76/13.13
% 12.76/13.13 resolution: (47466) {G3,W5,D2,L1,V2,M1} { cyclic( skol26, skol26, X, Y )
% 12.76/13.13 }.
% 12.76/13.13 parent0[0]: (47465) {G2,W10,D2,L2,V2,M2} { ! cyclic( skol26, skol26,
% 12.76/13.13 skol26, X ), cyclic( skol26, skol26, X, Y ) }.
% 12.76/13.13 parent1[0]: (42431) {G17,W5,D2,L1,V1,M1} R(42158,404) { cyclic( skol26,
% 12.76/13.13 skol26, skol26, X ) }.
% 12.76/13.13 substitution0:
% 12.76/13.13 X := X
% 12.76/13.13 Y := Y
% 12.76/13.13 end
% 12.76/13.13 substitution1:
% 12.76/13.13 X := X
% 12.76/13.13 end
% 12.76/13.13
% 12.76/13.13 subsumption: (42434) {G18,W5,D2,L1,V2,M1} R(42430,437);r(42431) { cyclic(
% 12.76/13.13 skol26, skol26, X, Y ) }.
% 12.76/13.13 parent0: (47466) {G3,W5,D2,L1,V2,M1} { cyclic( skol26, skol26, X, Y ) }.
% 12.76/13.13 substitution0:
% 12.76/13.13 X := X
% 12.76/13.13 Y := Y
% 12.76/13.13 end
% 12.76/13.13 permutation0:
% 12.76/13.13 0 ==> 0
% 12.76/13.13 end
% 12.76/13.13
% 12.76/13.13 resolution: (47467) {G2,W10,D2,L2,V3,M2} { cyclic( skol26, X, Y, Z ), !
% 12.76/13.13 cyclic( skol26, skol26, Z, X ) }.
% 12.76/13.13 parent0[0]: (437) {G1,W15,D2,L3,V5,M3} R(16,13) { ! cyclic( X, Y, Z, T ),
% 12.76/13.13 cyclic( Y, Z, T, U ), ! cyclic( X, Y, U, Z ) }.
% 12.76/13.13 parent1[0]: (42434) {G18,W5,D2,L1,V2,M1} R(42430,437);r(42431) { cyclic(
% 12.76/13.13 skol26, skol26, X, Y ) }.
% 12.76/13.13 substitution0:
% 12.76/13.13 X := skol26
% 12.76/13.13 Y := skol26
% 12.76/13.13 Z := X
% 12.76/13.13 T := Y
% 12.76/13.13 U := Z
% 12.76/13.13 end
% 12.76/13.13 substitution1:
% 12.76/13.13 X := X
% 12.76/13.13 Y := Y
% 12.76/13.13 end
% 12.76/13.13
% 12.76/13.13 resolution: (47469) {G3,W5,D2,L1,V3,M1} { cyclic( skol26, X, Y, Z ) }.
% 12.76/13.13 parent0[1]: (47467) {G2,W10,D2,L2,V3,M2} { cyclic( skol26, X, Y, Z ), !
% 12.76/13.13 cyclic( skol26, skol26, Z, X ) }.
% 12.76/13.13 parent1[0]: (42434) {G18,W5,D2,L1,V2,M1} R(42430,437);r(42431) { cyclic(
% 12.76/13.13 skol26, skol26, X, Y ) }.
% 12.76/13.13 substitution0:
% 12.76/13.13 X := X
% 12.76/13.13 Y := Y
% 12.76/13.13 Z := Z
% 12.76/13.13 end
% 12.76/13.13 substitution1:
% 12.76/13.13 X := Z
% 12.76/13.13 Y := X
% 12.76/13.13 end
% 12.76/13.13
% 12.76/13.13 subsumption: (42453) {G19,W5,D2,L1,V3,M1} R(42434,437);r(42434) { cyclic(
% 12.76/13.13 skol26, X, Y, Z ) }.
% 12.76/13.13 parent0: (47469) {G3,W5,D2,L1,V3,M1} { cyclic( skol26, X, Y, Z ) }.
% 12.76/13.13 substitution0:
% 12.76/13.13 X := X
% 12.76/13.13 Y := Y
% 12.76/13.13 Z := Z
% 12.76/13.13 end
% 12.76/13.13 permutation0:
% 12.76/13.13 0 ==> 0
% 12.76/13.13 end
% 12.76/13.13
% 12.76/13.13 resolution: (47470) {G2,W10,D2,L2,V4,M2} { cyclic( X, Y, Z, T ), ! cyclic
% 12.76/13.13 ( skol26, X, T, Y ) }.
% 12.76/13.13 parent0[0]: (437) {G1,W15,D2,L3,V5,M3} R(16,13) { ! cyclic( X, Y, Z, T ),
% 12.76/13.13 cyclic( Y, Z, T, U ), ! cyclic( X, Y, U, Z ) }.
% 12.76/13.13 parent1[0]: (42453) {G19,W5,D2,L1,V3,M1} R(42434,437);r(42434) { cyclic(
% 12.76/13.13 skol26, X, Y, Z ) }.
% 12.76/13.13 substitution0:
% 12.76/13.13 X := skol26
% 12.76/13.13 Y := X
% 12.76/13.13 Z := Y
% 12.76/13.13 T := Z
% 12.76/13.13 U := T
% 12.76/13.13 end
% 12.76/13.13 substitution1:
% 12.76/13.13 X := X
% 12.76/13.13 Y := Y
% 12.76/13.13 Z := Z
% 12.76/13.13 end
% 12.76/13.13
% 12.76/13.13 resolution: (47472) {G3,W5,D2,L1,V4,M1} { cyclic( X, Y, Z, T ) }.
% 12.76/13.13 parent0[1]: (47470) {G2,W10,D2,L2,V4,M2} { cyclic( X, Y, Z, T ), ! cyclic
% 12.76/13.13 ( skol26, X, T, Y ) }.
% 12.76/13.13 parent1[0]: (42453) {G19,W5,D2,L1,V3,M1} R(42434,437);r(42434) { cyclic(
% 12.76/13.13 skol26, X, Y, Z ) }.
% 12.76/13.13 substitution0:
% 12.76/13.13 X := X
% 12.76/13.13 Y := Y
% 12.76/13.13 Z := Z
% 12.76/13.13 T := T
% 12.76/13.13 end
% 12.76/13.13 substitution1:
% 12.76/13.13 X := X
% 12.76/13.13 Y := T
% 12.76/13.13 Z := Y
% 12.76/13.13 end
% 12.76/13.13
% 12.76/13.13 subsumption: (42468) {G20,W5,D2,L1,V4,M1} R(42453,437);r(42453) { cyclic( X
% 12.76/13.13 , Y, Z, T ) }.
% 12.76/13.13 parent0: (47472) {G3,W5,D2,L1,V4,M1} { cyclic( X, Y, Z, T ) }.
% 12.76/13.13 substitution0:
% 12.76/13.13 X := X
% 12.76/13.13 Y := Y
% 12.76/13.13 Z := Z
% 12.76/13.13 T := T
% 12.76/13.13 end
% 12.76/13.13 permutation0:
% 12.76/13.13 0 ==> 0
% 12.76/13.13 end
% 12.76/13.13
% 12.76/13.13 resolution: (47475) {G3,W10,D2,L2,V3,M2} { ! cyclic( X, Y, Z, Y ), cong( X
% 12.76/13.13 , Y, X, Y ) }.
% 12.76/13.13 parent0[0]: (1033) {G2,W15,D2,L3,V3,M3} F(1001) { ! cyclic( X, Y, Z, X ), !
% 12.76/13.13 cyclic( X, Y, Z, Y ), cong( X, Y, X, Y ) }.
% 12.76/13.13 parent1[0]: (42468) {G20,W5,D2,L1,V4,M1} R(42453,437);r(42453) { cyclic( X
% 12.76/13.13 , Y, Z, T ) }.
% 12.76/13.13 substitution0:
% 12.76/13.13 X := X
% 12.76/13.13 Y := Y
% 12.76/13.13 Z := Z
% 12.76/13.13 end
% 12.76/13.13 substitution1:
% 12.76/13.13 X := X
% 12.76/13.13 Y := Y
% 12.76/13.13 Z := Z
% 12.76/13.13 T := X
% 12.76/13.13 end
% 12.76/13.13
% 12.76/13.13 resolution: (47477) {G4,W5,D2,L1,V2,M1} { cong( X, Y, X, Y ) }.
% 12.76/13.13 parent0[0]: (47475) {G3,W10,D2,L2,V3,M2} { ! cyclic( X, Y, Z, Y ), cong( X
% 12.76/13.13 , Y, X, Y ) }.
% 12.76/13.13 parent1[0]: (42468) {G20,W5,D2,L1,V4,M1} R(42453,437);r(42453) { cyclic( X
% 12.76/13.13 , Y, Z, T ) }.
% 12.76/13.13 substitution0:
% 12.76/13.13 X := X
% 12.76/13.13 Y := Y
% 12.76/13.13 Z := Z
% 12.76/13.13 end
% 12.76/13.13 substitution1:
% 12.76/13.13 X := X
% 12.76/13.13 Y := Y
% 12.76/13.13 Z := Z
% 12.76/13.13 T := Y
% 12.76/13.13 end
% 12.76/13.13
% 12.76/13.13 subsumption: (46429) {G21,W5,D2,L1,V2,M1} S(1033);r(42468);r(42468) { cong
% 12.76/13.13 ( X, Y, X, Y ) }.
% 12.76/13.13 parent0: (47477) {G4,W5,D2,L1,V2,M1} { cong( X, Y, X, Y ) }.
% 12.76/13.13 substitution0:
% 12.76/13.13 X := X
% 12.76/13.13 Y := Y
% 12.76/13.13 end
% 12.76/13.13 permutation0:
% 12.76/13.13 0 ==> 0
% 12.76/13.13 end
% 12.76/13.13
% 12.76/13.13 resolution: (47478) {G1,W10,D2,L2,V3,M2} { ! cong( X, Z, X, Z ), perp( X,
% 12.76/13.13 X, Y, Z ) }.
% 12.76/13.13 parent0[0]: (56) {G0,W15,D2,L3,V4,M3} I { ! cong( X, Z, Y, Z ), ! cong( X,
% 12.76/13.13 T, Y, T ), perp( X, Y, Z, T ) }.
% 12.76/13.13 parent1[0]: (46429) {G21,W5,D2,L1,V2,M1} S(1033);r(42468);r(42468) { cong(
% 12.76/13.13 X, Y, X, Y ) }.
% 12.76/13.13 substitution0:
% 12.76/13.13 X := X
% 12.76/13.13 Y := X
% 12.76/13.13 Z := Y
% 12.76/13.13 T := Z
% 12.76/13.13 end
% 12.76/13.13 substitution1:
% 12.76/13.13 X := X
% 12.76/13.13 Y := Y
% 12.76/13.13 end
% 12.76/13.13
% 12.76/13.13 resolution: (47480) {G2,W5,D2,L1,V3,M1} { perp( X, X, Z, Y ) }.
% 12.76/13.13 parent0[0]: (47478) {G1,W10,D2,L2,V3,M2} { ! cong( X, Z, X, Z ), perp( X,
% 12.76/13.13 X, Y, Z ) }.
% 12.76/13.13 parent1[0]: (46429) {G21,W5,D2,L1,V2,M1} S(1033);r(42468);r(42468) { cong(
% 12.76/13.13 X, Y, X, Y ) }.
% 12.76/13.13 substitution0:
% 12.76/13.13 X := X
% 12.76/13.13 Y := Z
% 12.76/13.13 Z := Y
% 12.76/13.13 end
% 12.76/13.13 substitution1:
% 12.76/13.13 X := X
% 12.76/13.13 Y := Y
% 12.76/13.13 end
% 12.76/13.13
% 12.76/13.13 subsumption: (46441) {G22,W5,D2,L1,V3,M1} R(46429,56);r(46429) { perp( X, X
% 12.76/13.13 , Z, Y ) }.
% 12.76/13.13 parent0: (47480) {G2,W5,D2,L1,V3,M1} { perp( X, X, Z, Y ) }.
% 12.76/13.13 substitution0:
% 12.76/13.13 X := X
% 12.76/13.13 Y := Y
% 12.76/13.13 Z := Z
% 12.76/13.13 end
% 12.76/13.13 permutation0:
% 12.76/13.13 0 ==> 0
% 12.76/13.13 end
% 12.76/13.13
% 12.76/13.13 resolution: (47481) {G2,W10,D2,L2,V5,M2} { para( T, U, Y, Z ), ! perp( X,
% 12.76/13.13 X, T, U ) }.
% 12.76/13.13 parent0[0]: (290) {G1,W15,D2,L3,V6,M3} R(8,7) { ! perp( X, Y, Z, T ), para
% 12.76/13.13 ( U, W, Z, T ), ! perp( X, Y, U, W ) }.
% 12.76/13.13 parent1[0]: (46441) {G22,W5,D2,L1,V3,M1} R(46429,56);r(46429) { perp( X, X
% 12.76/13.13 , Z, Y ) }.
% 12.76/13.13 substitution0:
% 12.76/13.13 X := X
% 12.76/13.13 Y := X
% 12.76/13.13 Z := Y
% 12.76/13.13 T := Z
% 12.76/13.13 U := T
% 12.76/13.13 W := U
% 12.76/13.13 end
% 12.76/13.13 substitution1:
% 12.76/13.13 X := X
% 12.76/13.13 Y := Z
% 12.76/13.13 Z := Y
% 12.76/13.13 end
% 12.76/13.13
% 12.76/13.13 resolution: (47483) {G3,W5,D2,L1,V4,M1} { para( X, Y, Z, T ) }.
% 12.76/13.13 parent0[1]: (47481) {G2,W10,D2,L2,V5,M2} { para( T, U, Y, Z ), ! perp( X,
% 12.76/13.13 X, T, U ) }.
% 12.76/13.13 parent1[0]: (46441) {G22,W5,D2,L1,V3,M1} R(46429,56);r(46429) { perp( X, X
% 12.76/13.13 , Z, Y ) }.
% 12.76/13.13 substitution0:
% 12.76/13.13 X := U
% 12.76/13.13 Y := Z
% 12.76/13.13 Z := T
% 12.76/13.13 T := X
% 12.76/13.13 U := Y
% 12.76/13.13 end
% 12.76/13.13 substitution1:
% 12.76/13.13 X := U
% 12.76/13.13 Y := Y
% 12.76/13.13 Z := X
% 12.76/13.13 end
% 12.76/13.13
% 12.76/13.13 subsumption: (46470) {G23,W5,D2,L1,V4,M1} R(46441,290);r(46441) { para( X,
% 12.76/13.13 Y, Z, T ) }.
% 12.76/13.13 parent0: (47483) {G3,W5,D2,L1,V4,M1} { para( X, Y, Z, T ) }.
% 12.76/13.13 substitution0:
% 12.76/13.13 X := X
% 12.76/13.13 Y := Y
% 12.76/13.13 Z := Z
% 12.76/13.13 T := T
% 12.76/13.13 end
% 12.76/13.13 permutation0:
% 12.76/13.13 0 ==> 0
% 12.76/13.13 end
% 12.76/13.13
% 12.76/13.13 resolution: (47484) {G2,W9,D2,L1,V6,M1} { eqangle( X, Y, Z, T, U, W, Z, T
% 12.76/13.13 ) }.
% 12.76/13.13 parent0[1]: (754) {G1,W14,D2,L2,V6,M2} R(39,3) { eqangle( X, Y, Z, T, U, W
% 12.76/13.13 , Z, T ), ! para( X, Y, W, U ) }.
% 12.76/13.13 parent1[0]: (46470) {G23,W5,D2,L1,V4,M1} R(46441,290);r(46441) { para( X, Y
% 12.76/13.13 , Z, T ) }.
% 12.76/13.13 substitution0:
% 12.76/13.13 X := X
% 12.76/13.13 Y := Y
% 12.76/13.13 Z := Z
% 12.76/13.13 T := T
% 12.76/13.13 U := U
% 12.76/13.13 W := W
% 12.76/13.13 end
% 12.76/13.13 substitution1:
% 12.76/13.13 X := X
% 12.76/13.13 Y := Y
% 12.76/13.13 Z := W
% 12.76/13.13 T := U
% 12.76/13.13 end
% 12.76/13.13
% 12.76/13.13 subsumption: (46486) {G24,W9,D2,L1,V6,M1} R(46470,754) { eqangle( X, Y, Z,
% 12.76/13.13 T, U, W, Z, T ) }.
% 12.76/13.13 parent0: (47484) {G2,W9,D2,L1,V6,M1} { eqangle( X, Y, Z, T, U, W, Z, T )
% 12.76/13.13 }.
% 12.76/13.13 substitution0:
% 12.76/13.13 X := X
% 12.76/13.13 Y := Y
% 12.76/13.13 Z := Z
% 12.76/13.13 T := T
% 12.76/13.13 U := U
% 12.76/13.13 W := W
% 12.76/13.13 end
% 12.76/13.13 permutation0:
% 12.76/13.13 0 ==> 0
% 12.76/13.13 end
% 12.76/13.13
% 12.76/13.13 resolution: (47485) {G2,W9,D2,L1,V6,M1} { eqangle( Z, T, Z, T, X, Y, U, W
% 12.76/13.13 ) }.
% 12.76/13.13 parent0[0]: (480) {G1,W18,D2,L2,V8,M2} R(20,19) { ! eqangle( X, Y, Z, T, U
% 12.76/13.13 , W, V0, V1 ), eqangle( Z, T, V0, V1, X, Y, U, W ) }.
% 12.76/13.13 parent1[0]: (46486) {G24,W9,D2,L1,V6,M1} R(46470,754) { eqangle( X, Y, Z, T
% 12.76/13.13 , U, W, Z, T ) }.
% 12.76/13.13 substitution0:
% 12.76/13.13 X := X
% 12.76/13.13 Y := Y
% 12.76/13.13 Z := Z
% 12.76/13.13 T := T
% 12.76/13.13 U := U
% 12.76/13.13 W := W
% 12.76/13.13 V0 := Z
% 12.76/13.13 V1 := T
% 12.76/13.13 end
% 12.76/13.13 substitution1:
% 12.76/13.13 X := X
% 12.76/13.13 Y := Y
% 12.76/13.13 Z := Z
% 12.76/13.13 T := T
% 12.76/13.13 U := U
% 12.76/13.13 W := W
% 12.76/13.13 end
% 12.76/13.13
% 12.76/13.13 subsumption: (46877) {G25,W9,D2,L1,V6,M1} R(46486,480) { eqangle( X, Y, X,
% 12.76/13.13 Y, Z, T, U, W ) }.
% 12.76/13.13 parent0: (47485) {G2,W9,D2,L1,V6,M1} { eqangle( Z, T, Z, T, X, Y, U, W )
% 12.76/13.13 }.
% 12.76/13.13 substitution0:
% 12.76/13.13 X := Z
% 12.76/13.13 Y := T
% 12.76/13.13 Z := X
% 12.76/13.13 T := Y
% 12.76/13.13 U := U
% 12.76/13.13 W := W
% 12.76/13.13 end
% 12.76/13.13 permutation0:
% 12.76/13.13 0 ==> 0
% 12.76/13.13 end
% 12.76/13.13
% 12.76/13.13 resolution: (47486) {G2,W14,D2,L2,V8,M2} { ! para( X, Y, Z, T ), eqangle(
% 12.76/13.13 X, Y, Z, T, U, W, V0, V1 ) }.
% 12.76/13.13 parent0[1]: (746) {G1,W23,D2,L3,V10,M3} R(39,21) { ! para( X, Y, Z, T ), !
% 12.76/13.13 eqangle( Z, T, U, W, V0, V1, V2, V3 ), eqangle( X, Y, U, W, V0, V1, V2,
% 12.76/13.13 V3 ) }.
% 12.76/13.13 parent1[0]: (46877) {G25,W9,D2,L1,V6,M1} R(46486,480) { eqangle( X, Y, X, Y
% 12.76/13.13 , Z, T, U, W ) }.
% 12.76/13.13 substitution0:
% 12.76/13.13 X := X
% 12.76/13.13 Y := Y
% 12.76/13.13 Z := Z
% 12.76/13.13 T := T
% 12.76/13.13 U := Z
% 12.76/13.13 W := T
% 12.76/13.13 V0 := U
% 12.76/13.13 V1 := W
% 12.76/13.13 V2 := V0
% 12.76/13.13 V3 := V1
% 12.76/13.13 end
% 12.76/13.13 substitution1:
% 12.76/13.13 X := Z
% 12.76/13.13 Y := T
% 12.76/13.13 Z := U
% 12.76/13.13 T := W
% 12.76/13.13 U := V0
% 12.76/13.13 W := V1
% 12.76/13.13 end
% 12.76/13.13
% 12.76/13.13 resolution: (47487) {G3,W9,D2,L1,V8,M1} { eqangle( X, Y, Z, T, U, W, V0,
% 12.76/13.13 V1 ) }.
% 12.76/13.13 parent0[0]: (47486) {G2,W14,D2,L2,V8,M2} { ! para( X, Y, Z, T ), eqangle(
% 12.76/13.13 X, Y, Z, T, U, W, V0, V1 ) }.
% 12.76/13.13 parent1[0]: (46470) {G23,W5,D2,L1,V4,M1} R(46441,290);r(46441) { para( X, Y
% 12.76/13.13 , Z, T ) }.
% 12.76/13.13 substitution0:
% 12.76/13.13 X := X
% 12.76/13.13 Y := Y
% 12.76/13.13 Z := Z
% 12.76/13.13 T := T
% 12.76/13.13 U := U
% 12.76/13.13 W := W
% 12.76/13.13 V0 := V0
% 12.76/13.13 V1 := V1
% 12.76/13.13 end
% 12.76/13.13 substitution1:
% 12.76/13.13 X := X
% 12.76/13.13 Y := Y
% 12.76/13.13 Z := Z
% 12.76/13.13 T := T
% 12.76/13.13 end
% 12.76/13.13
% 12.76/13.13 subsumption: (46881) {G26,W9,D2,L1,V8,M1} R(46877,746);r(46470) { eqangle(
% 12.76/13.13 X, Y, Z, T, U, W, V0, V1 ) }.
% 12.76/13.13 parent0: (47487) {G3,W9,D2,L1,V8,M1} { eqangle( X, Y, Z, T, U, W, V0, V1 )
% 12.76/13.13 }.
% 12.76/13.13 substitution0:
% 12.76/13.13 X := X
% 12.76/13.13 Y := Y
% 12.76/13.13 Z := Z
% 12.76/13.13 T := T
% 12.76/13.13 U := U
% 12.76/13.13 W := W
% 12.76/13.13 V0 := V0
% 12.76/13.13 V1 := V1
% 12.76/13.13 end
% 12.76/13.13 permutation0:
% 12.76/13.13 0 ==> 0
% 12.76/13.13 end
% 12.76/13.13
% 12.76/13.13 resolution: (47488) {G1,W0,D0,L0,V0,M0} { }.
% 12.76/13.13 parent0[0]: (126) {G0,W9,D2,L1,V0,M1} I { ! eqangle( skol20, skol25, skol25
% 12.76/13.13 , skol22, skol22, skol23, skol23, skol24 ) }.
% 12.76/13.13 parent1[0]: (46881) {G26,W9,D2,L1,V8,M1} R(46877,746);r(46470) { eqangle( X
% 12.76/13.13 , Y, Z, T, U, W, V0, V1 ) }.
% 12.76/13.13 substitution0:
% 12.76/13.13 end
% 12.76/13.13 substitution1:
% 12.76/13.13 X := skol20
% 12.76/13.13 Y := skol25
% 12.76/13.13 Z := skol25
% 12.76/13.13 T := skol22
% 12.76/13.13 U := skol22
% 12.76/13.13 W := skol23
% 12.76/13.13 V0 := skol23
% 12.76/13.13 V1 := skol24
% 12.76/13.13 end
% 12.76/13.13
% 12.76/13.13 subsumption: (46882) {G27,W0,D0,L0,V0,M0} R(46881,126) { }.
% 12.76/13.13 parent0: (47488) {G1,W0,D0,L0,V0,M0} { }.
% 12.76/13.13 substitution0:
% 12.76/13.13 end
% 12.76/13.13 permutation0:
% 12.76/13.13 end
% 12.76/13.13
% 12.76/13.13 Proof check complete!
% 12.76/13.13
% 12.76/13.13 Memory use:
% 12.76/13.13
% 12.76/13.13 space for terms: 633684
% 12.76/13.13 space for clauses: 2096732
% 12.76/13.13
% 12.76/13.13
% 12.76/13.13 clauses generated: 321547
% 12.76/13.13 clauses kept: 46883
% 12.76/13.13 clauses selected: 2655
% 12.76/13.13 clauses deleted: 15762
% 12.76/13.13 clauses inuse deleted: 2222
% 12.76/13.13
% 12.76/13.13 subsentry: 13111759
% 12.76/13.13 literals s-matched: 7299663
% 12.76/13.13 literals matched: 3843569
% 12.76/13.13 full subsumption: 1482380
% 12.76/13.13
% 12.76/13.13 checksum: 1845330186
% 12.76/13.13
% 12.76/13.13
% 12.76/13.13 Bliksem ended
%------------------------------------------------------------------------------