TSTP Solution File: GEO549+1 by Bliksem---1.12
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : GEO549+1 : TPTP v8.1.0. Released v7.5.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n017.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 02:54:39 EDT 2022
% Result : Theorem 18.56s 18.94s
% Output : Refutation 18.56s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12 % Problem : GEO549+1 : TPTP v8.1.0. Released v7.5.0.
% 0.12/0.13 % Command : bliksem %s
% 0.13/0.34 % Computer : n017.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % DateTime : Sat Jun 18 08:43:12 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.76/1.20 *** allocated 10000 integers for termspace/termends
% 0.76/1.20 *** allocated 10000 integers for clauses
% 0.76/1.20 *** allocated 10000 integers for justifications
% 0.76/1.20 Bliksem 1.12
% 0.76/1.20
% 0.76/1.20
% 0.76/1.20 Automatic Strategy Selection
% 0.76/1.20
% 0.76/1.20 *** allocated 15000 integers for termspace/termends
% 0.76/1.20
% 0.76/1.20 Clauses:
% 0.76/1.20
% 0.76/1.20 { ! coll( X, Y, Z ), coll( X, Z, Y ) }.
% 0.76/1.20 { ! coll( X, Y, Z ), coll( Y, X, Z ) }.
% 0.76/1.20 { ! coll( X, T, Y ), ! coll( X, T, Z ), coll( Y, Z, X ) }.
% 0.76/1.20 { ! para( X, Y, Z, T ), para( X, Y, T, Z ) }.
% 0.76/1.20 { ! para( X, Y, Z, T ), para( Z, T, X, Y ) }.
% 0.76/1.20 { ! para( X, Y, U, W ), ! para( U, W, Z, T ), para( X, Y, Z, T ) }.
% 0.76/1.20 { ! perp( X, Y, Z, T ), perp( X, Y, T, Z ) }.
% 0.76/1.20 { ! perp( X, Y, Z, T ), perp( Z, T, X, Y ) }.
% 0.76/1.20 { ! perp( X, Y, U, W ), ! perp( U, W, Z, T ), para( X, Y, Z, T ) }.
% 0.76/1.20 { ! para( X, Y, U, W ), ! perp( U, W, Z, T ), perp( X, Y, Z, T ) }.
% 0.76/1.20 { ! midp( Z, Y, X ), midp( Z, X, Y ) }.
% 0.76/1.20 { ! cong( T, X, T, Y ), ! cong( T, X, T, Z ), circle( T, X, Y, Z ) }.
% 0.76/1.20 { ! cong( U, X, U, Y ), ! cong( U, X, U, Z ), ! cong( U, X, U, T ), cyclic
% 0.76/1.20 ( X, Y, Z, T ) }.
% 0.76/1.20 { ! cyclic( X, Y, Z, T ), cyclic( X, Y, T, Z ) }.
% 0.76/1.20 { ! cyclic( X, Y, Z, T ), cyclic( X, Z, Y, T ) }.
% 0.76/1.20 { ! cyclic( X, Y, Z, T ), cyclic( Y, X, Z, T ) }.
% 0.76/1.20 { ! cyclic( U, X, Y, Z ), ! cyclic( U, X, Y, T ), cyclic( X, Y, Z, T ) }.
% 0.76/1.20 { ! eqangle( X, Y, Z, T, U, W, V0, V1 ), eqangle( Y, X, Z, T, U, W, V0, V1
% 0.76/1.20 ) }.
% 0.76/1.20 { ! eqangle( X, Y, Z, T, U, W, V0, V1 ), eqangle( Z, T, X, Y, V0, V1, U, W
% 0.76/1.20 ) }.
% 0.76/1.20 { ! eqangle( X, Y, Z, T, U, W, V0, V1 ), eqangle( U, W, V0, V1, X, Y, Z, T
% 0.76/1.20 ) }.
% 0.76/1.20 { ! eqangle( X, Y, Z, T, U, W, V0, V1 ), eqangle( X, Y, U, W, Z, T, V0, V1
% 0.76/1.20 ) }.
% 0.76/1.20 { ! eqangle( X, Y, Z, T, V2, V3, V4, V5 ), ! eqangle( V2, V3, V4, V5, U, W
% 0.76/1.20 , V0, V1 ), eqangle( X, Y, Z, T, U, W, V0, V1 ) }.
% 0.76/1.20 { ! cong( X, Y, Z, T ), cong( X, Y, T, Z ) }.
% 0.76/1.20 { ! cong( X, Y, Z, T ), cong( Z, T, X, Y ) }.
% 0.76/1.20 { ! cong( X, Y, U, W ), ! cong( U, W, Z, T ), cong( X, Y, Z, T ) }.
% 0.76/1.20 { ! eqratio( X, Y, Z, T, U, W, V0, V1 ), eqratio( Y, X, Z, T, U, W, V0, V1
% 0.76/1.20 ) }.
% 0.76/1.20 { ! eqratio( X, Y, Z, T, U, W, V0, V1 ), eqratio( Z, T, X, Y, V0, V1, U, W
% 0.76/1.20 ) }.
% 0.76/1.20 { ! eqratio( X, Y, Z, T, U, W, V0, V1 ), eqratio( U, W, V0, V1, X, Y, Z, T
% 0.76/1.20 ) }.
% 0.76/1.20 { ! eqratio( X, Y, Z, T, U, W, V0, V1 ), eqratio( X, Y, U, W, Z, T, V0, V1
% 0.76/1.20 ) }.
% 0.76/1.20 { ! eqratio( X, Y, Z, T, V2, V3, V4, V5 ), ! eqratio( V2, V3, V4, V5, U, W
% 0.76/1.20 , V0, V1 ), eqratio( X, Y, Z, T, U, W, V0, V1 ) }.
% 0.76/1.20 { ! simtri( X, Z, Y, T, W, U ), simtri( X, Y, Z, T, U, W ) }.
% 0.76/1.20 { ! simtri( Y, X, Z, U, T, W ), simtri( X, Y, Z, T, U, W ) }.
% 0.76/1.20 { ! simtri( T, U, W, X, Y, Z ), simtri( X, Y, Z, T, U, W ) }.
% 0.76/1.20 { ! simtri( X, Y, Z, V0, V1, V2 ), ! simtri( V0, V1, V2, T, U, W ), simtri
% 0.76/1.20 ( X, Y, Z, T, U, W ) }.
% 0.76/1.20 { ! contri( X, Z, Y, T, W, U ), contri( X, Y, Z, T, U, W ) }.
% 0.76/1.20 { ! contri( Y, X, Z, U, T, W ), contri( X, Y, Z, T, U, W ) }.
% 0.76/1.20 { ! contri( T, U, W, X, Y, Z ), contri( X, Y, Z, T, U, W ) }.
% 0.76/1.20 { ! contri( X, Y, Z, V0, V1, V2 ), ! contri( V0, V1, V2, T, U, W ), contri
% 0.76/1.20 ( X, Y, Z, T, U, W ) }.
% 0.76/1.20 { ! eqangle( X, Y, U, W, Z, T, U, W ), para( X, Y, Z, T ) }.
% 0.76/1.20 { ! para( X, Y, Z, T ), eqangle( X, Y, U, W, Z, T, U, W ) }.
% 0.76/1.20 { ! cyclic( X, Y, Z, T ), eqangle( Z, X, Z, Y, T, X, T, Y ) }.
% 0.76/1.20 { ! eqangle( Z, X, Z, Y, T, X, T, Y ), coll( Z, T, X ), cyclic( X, Y, Z, T
% 0.76/1.20 ) }.
% 0.76/1.20 { ! eqangle( Z, X, Z, Y, T, X, T, Y ), ! coll( Z, T, Y ), cyclic( X, Y, Z,
% 0.76/1.20 T ) }.
% 0.76/1.20 { ! cyclic( X, Y, U, Z ), ! cyclic( X, Y, U, T ), ! cyclic( X, Y, U, W ), !
% 0.76/1.20 eqangle( U, X, U, Y, W, Z, W, T ), cong( X, Y, Z, T ) }.
% 0.76/1.20 { ! midp( Z, U, X ), ! midp( T, U, Y ), para( Z, T, X, Y ) }.
% 0.76/1.20 { ! midp( U, X, T ), ! para( U, Z, T, Y ), ! coll( Z, X, Y ), midp( Z, X, Y
% 0.76/1.20 ) }.
% 0.76/1.20 { ! cong( Z, X, Z, Y ), eqangle( Z, X, X, Y, X, Y, Z, Y ) }.
% 0.76/1.20 { ! eqangle( Z, X, X, Y, X, Y, Z, Y ), coll( Z, X, Y ), cong( Z, X, Z, Y )
% 0.76/1.20 }.
% 0.76/1.20 { ! circle( U, X, Y, Z ), ! perp( U, X, X, T ), eqangle( X, T, X, Y, Z, X,
% 0.76/1.20 Z, Y ) }.
% 0.76/1.20 { ! circle( Y, X, T, U ), ! eqangle( X, Z, X, T, U, X, U, T ), perp( Y, X,
% 0.76/1.20 X, Z ) }.
% 0.76/1.20 { ! circle( T, X, Y, Z ), ! midp( U, Y, Z ), eqangle( X, Y, X, Z, T, Y, T,
% 0.76/1.20 U ) }.
% 0.76/1.20 { ! circle( U, T, X, Y ), ! coll( Z, X, Y ), ! eqangle( T, X, T, Y, U, X, U
% 0.76/1.20 , Z ), midp( Z, X, Y ) }.
% 0.76/1.20 { ! perp( X, Y, Y, T ), ! midp( Z, X, T ), cong( X, Z, Y, Z ) }.
% 0.76/1.20 { ! circle( T, X, Y, Z ), ! coll( T, X, Z ), perp( X, Y, Y, Z ) }.
% 0.76/1.20 { ! cyclic( X, Y, Z, T ), ! para( X, Y, Z, T ), eqangle( X, T, Z, T, Z, T,
% 0.76/1.20 Z, Y ) }.
% 0.76/1.20 { ! midp( T, X, Y ), ! perp( Z, T, X, Y ), cong( Z, X, Z, Y ) }.
% 0.76/1.20 { ! cong( X, Z, Y, Z ), ! cong( X, T, Y, T ), perp( X, Y, Z, T ) }.
% 0.76/1.20 { ! cong( X, Y, T, Y ), ! cong( X, Z, T, Z ), ! cyclic( X, T, Y, Z ), perp
% 0.76/1.20 ( Y, X, X, Z ) }.
% 0.76/1.20 { ! eqangle( X, Y, Y, Z, T, U, U, W ), ! eqangle( X, Z, Y, Z, T, W, U, W )
% 0.76/1.20 , coll( X, Y, Z ), simtri( X, Y, Z, T, U, W ) }.
% 0.76/1.20 { ! simtri( X, Y, Z, T, U, W ), eqratio( X, Y, X, Z, T, U, T, W ) }.
% 0.76/1.20 { ! simtri( X, Y, Z, T, U, W ), eqangle( X, Y, Y, Z, T, U, U, W ) }.
% 0.76/1.20 { ! simtri( X, Y, Z, T, U, W ), ! cong( X, Y, T, U ), contri( X, Y, Z, T, U
% 0.76/1.20 , W ) }.
% 0.76/1.20 { ! contri( X, Y, U, Z, T, W ), cong( X, Y, Z, T ) }.
% 0.76/1.20 { ! midp( U, X, Y ), ! midp( U, Z, T ), para( X, Z, Y, T ) }.
% 0.76/1.20 { ! midp( Z, T, U ), ! para( T, X, U, Y ), ! para( T, Y, U, X ), midp( Z, X
% 0.76/1.20 , Y ) }.
% 0.76/1.20 { ! para( X, Y, Z, T ), ! coll( U, X, Z ), ! coll( U, Y, T ), eqratio( U, X
% 0.76/1.20 , X, Z, U, Y, Y, T ) }.
% 0.76/1.20 { ! para( X, Y, X, Z ), coll( X, Y, Z ) }.
% 0.76/1.20 { ! cong( X, Y, X, Z ), ! coll( X, Y, Z ), midp( X, Y, Z ) }.
% 0.76/1.20 { ! midp( X, Y, Z ), cong( X, Y, X, Z ) }.
% 0.76/1.20 { ! midp( X, Y, Z ), coll( X, Y, Z ) }.
% 0.76/1.20 { ! midp( U, X, Y ), ! midp( W, Z, T ), eqratio( U, X, X, Y, W, Z, Z, T ) }
% 0.76/1.20 .
% 0.76/1.20 { ! eqangle( X, Y, Z, T, Z, T, X, Y ), para( X, Y, Z, T ), perp( X, Y, Z, T
% 0.76/1.20 ) }.
% 0.76/1.20 { ! eqangle( X, Y, Z, T, Z, T, X, Y ), perp( X, Y, Z, T ), para( X, Y, Z, T
% 0.76/1.20 ) }.
% 0.76/1.20 { ! eqangle( X, Y, Z, T, U, W, V0, V1 ), ! para( U, W, V0, V1 ), para( X, Y
% 0.76/1.20 , Z, T ) }.
% 0.76/1.20 { ! eqangle( X, Y, Z, T, U, W, V0, V1 ), ! perp( U, W, V0, V1 ), perp( X, Y
% 0.76/1.20 , Z, T ) }.
% 0.76/1.20 { ! eqratio( X, Y, Z, T, U, W, V0, V1 ), ! cong( U, W, V0, V1 ), cong( X, Y
% 0.76/1.20 , Z, T ) }.
% 0.76/1.20 { ! perp( Z, Y, Y, X ), ! eqangle( T, Z, Y, Z, Y, Z, X, Z ), coll( skol1( U
% 0.76/1.20 , W, Z, T ), Z, T ) }.
% 0.76/1.20 { ! perp( Z, Y, Y, X ), ! eqangle( T, Z, Y, Z, Y, Z, X, Z ), coll( skol1( X
% 0.76/1.20 , Y, Z, T ), X, Y ) }.
% 0.76/1.20 { ! cong( Z, X, Z, Y ), ! eqangle( X, Z, Z, T, Z, T, Z, Y ), coll( skol2( U
% 0.76/1.20 , W, Z, T ), Z, T ) }.
% 0.76/1.20 { ! cong( Z, X, Z, Y ), ! eqangle( X, Z, Z, T, Z, T, Z, Y ), coll( Y, X,
% 0.76/1.20 skol2( X, Y, Z, T ) ) }.
% 0.76/1.20 { ! perp( Z, T, X, Y ), ! eqangle( X, Z, Z, T, Z, T, Z, Y ), coll( skol3( U
% 0.76/1.20 , W, Z, T ), Z, T ) }.
% 0.76/1.20 { ! perp( Z, T, X, Y ), ! eqangle( X, Z, Z, T, Z, T, Z, Y ), coll( Y, X,
% 0.76/1.20 skol3( X, Y, Z, T ) ) }.
% 0.76/1.20 { ! perp( Z, T, X, Y ), ! cong( Z, X, Z, Y ), coll( skol4( U, W, Z, T ), Z
% 0.76/1.20 , T ) }.
% 0.76/1.20 { ! perp( Z, T, X, Y ), ! cong( Z, X, Z, Y ), coll( Y, X, skol4( X, Y, Z, T
% 0.76/1.20 ) ) }.
% 0.76/1.20 { ! eqangle( X, Z, Y, Z, X, T, Y, U ), coll( X, Y, Z ), cyclic( T, Y, Z,
% 0.76/1.20 skol5( W, Y, Z, T ) ) }.
% 0.76/1.20 { ! eqangle( X, Z, Y, Z, X, T, Y, U ), coll( X, Y, Z ), eqangle( X, Z, Y, Z
% 0.76/1.20 , X, skol5( X, Y, Z, T ), Y, skol5( X, Y, Z, T ) ) }.
% 0.76/1.20 { ! midp( U, X, Y ), ! midp( W, Z, T ), midp( skol6( X, V0, V1, T, V2, V3 )
% 0.76/1.20 , X, T ) }.
% 0.76/1.20 { ! midp( U, X, Y ), ! midp( W, Z, T ), para( skol6( X, V0, Z, T, V1, W ),
% 0.76/1.20 W, X, Z ) }.
% 0.76/1.20 { ! midp( U, X, Y ), ! midp( W, Z, T ), para( skol6( X, Y, Z, T, U, W ), U
% 0.76/1.20 , Y, T ) }.
% 0.76/1.20 { ! midp( Z, X, Y ), ! midp( W, T, U ), ! coll( T, X, Y ), ! coll( U, X, Y
% 0.76/1.20 ), midp( skol7( X, V0 ), X, V0 ) }.
% 0.76/1.20 { ! midp( T, X, U ), ! para( X, W, Z, T ), ! para( X, W, U, Y ), ! coll( W
% 0.76/1.20 , Y, Z ), coll( skol8( V0, V1, Z, T ), T, Z ) }.
% 0.76/1.20 { ! midp( T, X, U ), ! para( X, W, Z, T ), ! para( X, W, U, Y ), ! coll( W
% 0.76/1.20 , Y, Z ), coll( skol8( X, Y, Z, T ), X, Y ) }.
% 0.76/1.20 { ! cong( T, Z, T, U ), ! perp( X, Y, Y, T ), cong( T, Z, T, skol9( W, V0,
% 0.76/1.20 Z, T ) ) }.
% 0.76/1.20 { ! cong( T, Z, T, U ), ! perp( X, Y, Y, T ), cong( Y, Z, Y, skol9( W, Y, Z
% 0.76/1.20 , T ) ) }.
% 0.76/1.20 { ! cong( T, Z, T, U ), ! perp( X, Y, Y, T ), para( skol9( X, Y, Z, T ), Z
% 0.76/1.20 , X, Y ) }.
% 0.76/1.20 { ! perp( X, T, Y, Z ), ! perp( Y, T, X, Z ), coll( skol10( U, Y, Z ), Z, Y
% 0.76/1.20 ) }.
% 0.76/1.20 { ! perp( X, T, Y, Z ), ! perp( Y, T, X, Z ), perp( X, skol10( X, Y, Z ), Z
% 0.76/1.20 , Y ) }.
% 0.76/1.20 { ! perp( X, T, Y, Z ), ! perp( Y, T, X, Z ), alpha1( X, Y, Z ) }.
% 0.76/1.20 { ! alpha1( X, Y, Z ), coll( skol11( X, T, Z ), Z, X ) }.
% 0.76/1.20 { ! alpha1( X, Y, Z ), perp( Y, skol11( X, Y, Z ), Z, X ) }.
% 0.76/1.20 { ! coll( T, Z, X ), ! perp( Y, T, Z, X ), alpha1( X, Y, Z ) }.
% 0.76/1.20 { ! circle( Y, X, Z, T ), perp( skol12( X, Y ), X, X, Y ) }.
% 2.15/2.55 { ! circle( W, X, Y, Z ), ! cong( W, X, W, T ), ! cong( U, X, U, Y ), W = U
% 2.15/2.55 , alpha2( X, Z, U, skol13( X, V0, Z, V1, U ) ) }.
% 2.15/2.55 { ! circle( W, X, Y, Z ), ! cong( W, X, W, T ), ! cong( U, X, U, Y ), W = U
% 2.15/2.55 , coll( skol21( V0, Y, T, V1 ), Y, T ) }.
% 2.15/2.55 { ! circle( W, X, Y, Z ), ! cong( W, X, W, T ), ! cong( U, X, U, Y ), W = U
% 2.15/2.55 , cong( skol21( X, Y, T, U ), U, U, X ) }.
% 2.15/2.55 { ! alpha2( X, Y, Z, T ), coll( T, X, Y ) }.
% 2.15/2.55 { ! alpha2( X, Y, Z, T ), cong( T, Z, Z, X ) }.
% 2.15/2.55 { ! coll( T, X, Y ), ! cong( T, Z, Z, X ), alpha2( X, Y, Z, T ) }.
% 2.15/2.55 { ! cyclic( X, Y, Z, T ), ! para( X, Y, Z, T ), ! midp( U, X, Y ), circle(
% 2.15/2.55 skol14( X, Y, Z ), X, Y, Z ) }.
% 2.15/2.55 { ! perp( X, Z, Z, Y ), ! cyclic( X, Y, Z, T ), circle( skol15( X, Y, Z ),
% 2.15/2.55 X, Y, Z ) }.
% 2.15/2.55 { ! perp( X, U, U, T ), ! coll( T, Y, Z ), coll( skol16( W, Y, Z ), Y, Z )
% 2.15/2.55 }.
% 2.15/2.55 { ! perp( X, U, U, T ), ! coll( T, Y, Z ), perp( skol16( X, Y, Z ), X, Y, Z
% 2.15/2.55 ) }.
% 2.15/2.55 { ! perp( X, Z, X, Y ), ! perp( Y, X, Y, T ), ! midp( U, Z, T ), midp(
% 2.15/2.55 skol17( X, Y ), X, Y ) }.
% 2.15/2.55 { ! cong( Y, X, Y, Z ), ! perp( X, Y, Y, Z ), coll( X, Y, skol18( X, Y ) )
% 2.15/2.55 }.
% 2.15/2.55 { ! cong( Y, X, Y, Z ), ! perp( X, Y, Y, Z ), cong( Y, X, Y, skol18( X, Y )
% 2.15/2.55 ) }.
% 2.15/2.55 { ! para( U, W, X, Y ), ! coll( Z, U, X ), ! coll( Z, W, Y ), ! coll( T, U
% 2.15/2.55 , W ), coll( Z, T, skol19( V0, V1, Z, T ) ) }.
% 2.15/2.55 { ! para( U, W, X, Y ), ! coll( Z, U, X ), ! coll( Z, W, Y ), ! coll( T, U
% 2.15/2.55 , W ), coll( skol19( X, Y, Z, T ), X, Y ) }.
% 2.15/2.55 { circle( skol30, skol27, skol28, skol29 ) }.
% 2.15/2.55 { circle( skol30, skol27, skol31, skol32 ) }.
% 2.15/2.55 { circle( skol30, skol27, skol33, skol34 ) }.
% 2.15/2.55 { perp( skol20, skol33, skol27, skol31 ) }.
% 2.15/2.55 { coll( skol20, skol27, skol31 ) }.
% 2.15/2.55 { circle( skol30, skol27, skol35, skol36 ) }.
% 2.15/2.55 { perp( skol22, skol35, skol27, skol31 ) }.
% 2.15/2.55 { coll( skol22, skol27, skol31 ) }.
% 2.15/2.55 { perp( skol23, skol35, skol27, skol29 ) }.
% 2.15/2.55 { coll( skol23, skol27, skol29 ) }.
% 2.15/2.55 { perp( skol24, skol33, skol27, skol29 ) }.
% 2.15/2.55 { coll( skol24, skol27, skol29 ) }.
% 2.15/2.55 { perp( skol25, skol33, skol27, skol28 ) }.
% 2.15/2.55 { coll( skol25, skol27, skol28 ) }.
% 2.15/2.55 { perp( skol26, skol35, skol27, skol28 ) }.
% 2.15/2.55 { coll( skol26, skol27, skol28 ) }.
% 2.15/2.55 { ! eqangle( skol20, skol25, skol25, skol24, skol22, skol26, skol26, skol23
% 2.15/2.55 ) }.
% 2.15/2.55
% 2.15/2.55 percentage equality = 0.008547, percentage horn = 0.932331
% 2.15/2.55 This is a problem with some equality
% 2.15/2.55
% 2.15/2.55
% 2.15/2.55
% 2.15/2.55 Options Used:
% 2.15/2.55
% 2.15/2.55 useres = 1
% 2.15/2.55 useparamod = 1
% 2.15/2.55 useeqrefl = 1
% 2.15/2.55 useeqfact = 1
% 2.15/2.55 usefactor = 1
% 2.15/2.55 usesimpsplitting = 0
% 2.15/2.55 usesimpdemod = 5
% 2.15/2.55 usesimpres = 3
% 2.15/2.55
% 2.15/2.55 resimpinuse = 1000
% 2.15/2.55 resimpclauses = 20000
% 2.15/2.55 substype = eqrewr
% 2.15/2.55 backwardsubs = 1
% 2.15/2.55 selectoldest = 5
% 2.15/2.55
% 2.15/2.55 litorderings [0] = split
% 2.15/2.55 litorderings [1] = extend the termordering, first sorting on arguments
% 2.15/2.55
% 2.15/2.55 termordering = kbo
% 2.15/2.55
% 2.15/2.55 litapriori = 0
% 2.15/2.55 termapriori = 1
% 2.15/2.55 litaposteriori = 0
% 2.15/2.55 termaposteriori = 0
% 2.15/2.55 demodaposteriori = 0
% 2.15/2.55 ordereqreflfact = 0
% 2.15/2.55
% 2.15/2.55 litselect = negord
% 2.15/2.55
% 2.15/2.55 maxweight = 15
% 2.15/2.55 maxdepth = 30000
% 2.15/2.55 maxlength = 115
% 2.15/2.55 maxnrvars = 195
% 2.15/2.55 excuselevel = 1
% 2.15/2.55 increasemaxweight = 1
% 2.15/2.55
% 2.15/2.55 maxselected = 10000000
% 2.15/2.55 maxnrclauses = 10000000
% 2.15/2.55
% 2.15/2.55 showgenerated = 0
% 2.15/2.55 showkept = 0
% 2.15/2.55 showselected = 0
% 2.15/2.55 showdeleted = 0
% 2.15/2.55 showresimp = 1
% 2.15/2.55 showstatus = 2000
% 2.15/2.55
% 2.15/2.55 prologoutput = 0
% 2.15/2.55 nrgoals = 5000000
% 2.15/2.55 totalproof = 1
% 2.15/2.55
% 2.15/2.55 Symbols occurring in the translation:
% 2.15/2.55
% 2.15/2.55 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 2.15/2.55 . [1, 2] (w:1, o:53, a:1, s:1, b:0),
% 2.15/2.55 ! [4, 1] (w:0, o:48, a:1, s:1, b:0),
% 2.15/2.55 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 2.15/2.55 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 2.15/2.55 coll [38, 3] (w:1, o:81, a:1, s:1, b:0),
% 2.15/2.55 para [40, 4] (w:1, o:89, a:1, s:1, b:0),
% 2.15/2.55 perp [43, 4] (w:1, o:90, a:1, s:1, b:0),
% 2.15/2.55 midp [45, 3] (w:1, o:82, a:1, s:1, b:0),
% 2.15/2.55 cong [47, 4] (w:1, o:91, a:1, s:1, b:0),
% 2.15/2.55 circle [48, 4] (w:1, o:92, a:1, s:1, b:0),
% 2.15/2.55 cyclic [49, 4] (w:1, o:93, a:1, s:1, b:0),
% 2.15/2.55 eqangle [54, 8] (w:1, o:108, a:1, s:1, b:0),
% 2.15/2.55 eqratio [57, 8] (w:1, o:109, a:1, s:1, b:0),
% 2.15/2.55 simtri [59, 6] (w:1, o:105, a:1, s:1, b:0),
% 2.15/2.55 contri [60, 6] (w:1, o:106, a:1, s:1, b:0),
% 2.15/2.55 alpha1 [72, 3] (w:1, o:83, a:1, s:1, b:1),
% 16.99/17.37 alpha2 [73, 4] (w:1, o:94, a:1, s:1, b:1),
% 16.99/17.37 skol1 [74, 4] (w:1, o:95, a:1, s:1, b:1),
% 16.99/17.37 skol2 [75, 4] (w:1, o:97, a:1, s:1, b:1),
% 16.99/17.37 skol3 [76, 4] (w:1, o:99, a:1, s:1, b:1),
% 16.99/17.37 skol4 [77, 4] (w:1, o:100, a:1, s:1, b:1),
% 16.99/17.37 skol5 [78, 4] (w:1, o:101, a:1, s:1, b:1),
% 16.99/17.37 skol6 [79, 6] (w:1, o:107, a:1, s:1, b:1),
% 16.99/17.37 skol7 [80, 2] (w:1, o:77, a:1, s:1, b:1),
% 16.99/17.37 skol8 [81, 4] (w:1, o:102, a:1, s:1, b:1),
% 16.99/17.37 skol9 [82, 4] (w:1, o:103, a:1, s:1, b:1),
% 16.99/17.37 skol10 [83, 3] (w:1, o:84, a:1, s:1, b:1),
% 16.99/17.37 skol11 [84, 3] (w:1, o:85, a:1, s:1, b:1),
% 16.99/17.37 skol12 [85, 2] (w:1, o:78, a:1, s:1, b:1),
% 16.99/17.37 skol13 [86, 5] (w:1, o:104, a:1, s:1, b:1),
% 16.99/17.37 skol14 [87, 3] (w:1, o:86, a:1, s:1, b:1),
% 16.99/17.37 skol15 [88, 3] (w:1, o:87, a:1, s:1, b:1),
% 16.99/17.37 skol16 [89, 3] (w:1, o:88, a:1, s:1, b:1),
% 16.99/17.37 skol17 [90, 2] (w:1, o:79, a:1, s:1, b:1),
% 16.99/17.37 skol18 [91, 2] (w:1, o:80, a:1, s:1, b:1),
% 16.99/17.37 skol19 [92, 4] (w:1, o:96, a:1, s:1, b:1),
% 16.99/17.37 skol20 [93, 0] (w:1, o:32, a:1, s:1, b:1),
% 16.99/17.37 skol21 [94, 4] (w:1, o:98, a:1, s:1, b:1),
% 16.99/17.37 skol22 [95, 0] (w:1, o:33, a:1, s:1, b:1),
% 16.99/17.37 skol23 [96, 0] (w:1, o:34, a:1, s:1, b:1),
% 16.99/17.37 skol24 [97, 0] (w:1, o:35, a:1, s:1, b:1),
% 16.99/17.37 skol25 [98, 0] (w:1, o:36, a:1, s:1, b:1),
% 16.99/17.37 skol26 [99, 0] (w:1, o:37, a:1, s:1, b:1),
% 16.99/17.37 skol27 [100, 0] (w:1, o:38, a:1, s:1, b:1),
% 16.99/17.37 skol28 [101, 0] (w:1, o:39, a:1, s:1, b:1),
% 16.99/17.37 skol29 [102, 0] (w:1, o:40, a:1, s:1, b:1),
% 16.99/17.37 skol30 [103, 0] (w:1, o:41, a:1, s:1, b:1),
% 16.99/17.37 skol31 [104, 0] (w:1, o:42, a:1, s:1, b:1),
% 16.99/17.37 skol32 [105, 0] (w:1, o:43, a:1, s:1, b:1),
% 16.99/17.37 skol33 [106, 0] (w:1, o:44, a:1, s:1, b:1),
% 16.99/17.37 skol34 [107, 0] (w:1, o:45, a:1, s:1, b:1),
% 16.99/17.37 skol35 [108, 0] (w:1, o:46, a:1, s:1, b:1),
% 16.99/17.37 skol36 [109, 0] (w:1, o:47, a:1, s:1, b:1).
% 16.99/17.37
% 16.99/17.37
% 16.99/17.37 Starting Search:
% 16.99/17.37
% 16.99/17.37 *** allocated 15000 integers for clauses
% 16.99/17.37 *** allocated 22500 integers for clauses
% 16.99/17.37 *** allocated 33750 integers for clauses
% 16.99/17.37 *** allocated 50625 integers for clauses
% 16.99/17.37 *** allocated 22500 integers for termspace/termends
% 16.99/17.37 *** allocated 75937 integers for clauses
% 16.99/17.37 Resimplifying inuse:
% 16.99/17.37 Done
% 16.99/17.37
% 16.99/17.37 *** allocated 33750 integers for termspace/termends
% 16.99/17.37 *** allocated 113905 integers for clauses
% 16.99/17.37 *** allocated 50625 integers for termspace/termends
% 16.99/17.37
% 16.99/17.37 Intermediate Status:
% 16.99/17.37 Generated: 8320
% 16.99/17.37 Kept: 2002
% 16.99/17.37 Inuse: 311
% 16.99/17.37 Deleted: 0
% 16.99/17.37 Deletedinuse: 0
% 16.99/17.37
% 16.99/17.37 Resimplifying inuse:
% 16.99/17.37 Done
% 16.99/17.37
% 16.99/17.37 *** allocated 170857 integers for clauses
% 16.99/17.37 *** allocated 75937 integers for termspace/termends
% 16.99/17.37 Resimplifying inuse:
% 16.99/17.37 Done
% 16.99/17.37
% 16.99/17.37 *** allocated 256285 integers for clauses
% 16.99/17.37 *** allocated 113905 integers for termspace/termends
% 16.99/17.37
% 16.99/17.37 Intermediate Status:
% 16.99/17.37 Generated: 24809
% 16.99/17.37 Kept: 4008
% 16.99/17.37 Inuse: 456
% 16.99/17.37 Deleted: 1
% 16.99/17.37 Deletedinuse: 1
% 16.99/17.37
% 16.99/17.37 Resimplifying inuse:
% 16.99/17.37 Done
% 16.99/17.37
% 16.99/17.37 Resimplifying inuse:
% 16.99/17.37 Done
% 16.99/17.37
% 16.99/17.37 *** allocated 384427 integers for clauses
% 16.99/17.37 *** allocated 170857 integers for termspace/termends
% 16.99/17.37
% 16.99/17.37 Intermediate Status:
% 16.99/17.37 Generated: 37474
% 16.99/17.37 Kept: 6029
% 16.99/17.37 Inuse: 521
% 16.99/17.37 Deleted: 1
% 16.99/17.37 Deletedinuse: 1
% 16.99/17.37
% 16.99/17.37 Resimplifying inuse:
% 16.99/17.37 Done
% 16.99/17.37
% 16.99/17.37 Resimplifying inuse:
% 16.99/17.37 Done
% 16.99/17.37
% 16.99/17.37 *** allocated 576640 integers for clauses
% 16.99/17.37
% 16.99/17.37 Intermediate Status:
% 16.99/17.37 Generated: 50255
% 16.99/17.37 Kept: 8031
% 16.99/17.37 Inuse: 644
% 16.99/17.37 Deleted: 2
% 16.99/17.37 Deletedinuse: 1
% 16.99/17.37
% 16.99/17.37 *** allocated 256285 integers for termspace/termends
% 16.99/17.37 Resimplifying inuse:
% 16.99/17.37 Done
% 16.99/17.37
% 16.99/17.37 Resimplifying inuse:
% 16.99/17.37 Done
% 16.99/17.37
% 16.99/17.37
% 16.99/17.37 Intermediate Status:
% 16.99/17.37 Generated: 72011
% 16.99/17.37 Kept: 10170
% 16.99/17.37 Inuse: 769
% 16.99/17.37 Deleted: 5
% 16.99/17.37 Deletedinuse: 3
% 16.99/17.37
% 16.99/17.37 Resimplifying inuse:
% 16.99/17.37 Done
% 16.99/17.37
% 16.99/17.37 Resimplifying inuse:
% 16.99/17.37 Done
% 16.99/17.37
% 16.99/17.37 *** allocated 864960 integers for clauses
% 16.99/17.37
% 16.99/17.37 Intermediate Status:
% 16.99/17.37 Generated: 84950
% 16.99/17.37 Kept: 12177
% 16.99/17.37 Inuse: 863
% 16.99/17.37 Deleted: 6
% 16.99/17.37 Deletedinuse: 4
% 16.99/17.37
% 16.99/17.37 Resimplifying inuse:
% 16.99/17.37 Done
% 16.99/17.37
% 16.99/17.37 Resimplifying inuse:
% 16.99/17.37 Done
% 16.99/17.37
% 16.99/17.37
% 16.99/17.37 Intermediate Status:
% 16.99/17.37 Generated: 92292
% 16.99/17.37 Kept: 14197
% 16.99/17.37 Inuse: 893
% 16.99/17.37 Deleted: 6
% 16.99/17.37 Deletedinuse: 4
% 16.99/17.37
% 16.99/17.37 Resimplifying inuse:
% 16.99/17.37 Done
% 16.99/17.37
% 16.99/17.37 *** allocated 384427 integers for termspace/termends
% 16.99/17.37 Resimplifying inuse:
% 16.99/17.37 Done
% 16.99/17.37
% 16.99/17.37
% 16.99/17.37 Intermediate Status:
% 16.99/17.37 Generated: 104078
% 16.99/17.37 Kept: 16219
% 16.99/17.37 Inuse: 997
% 16.99/17.37 Deleted: 8
% 16.99/17.37 Deletedinuse: 4
% 16.99/17.37
% 16.99/17.37 Resimplifying inuse:
% 18.56/18.94 Done
% 18.56/18.94
% 18.56/18.94 Resimplifying inuse:
% 18.56/18.94 Done
% 18.56/18.94
% 18.56/18.94
% 18.56/18.94 Intermediate Status:
% 18.56/18.94 Generated: 118574
% 18.56/18.94 Kept: 18228
% 18.56/18.94 Inuse: 1137
% 18.56/18.94 Deleted: 12
% 18.56/18.94 Deletedinuse: 4
% 18.56/18.94
% 18.56/18.94 *** allocated 1297440 integers for clauses
% 18.56/18.94 Resimplifying inuse:
% 18.56/18.94 Done
% 18.56/18.94
% 18.56/18.94 Resimplifying clauses:
% 18.56/18.94 Done
% 18.56/18.94
% 18.56/18.94 Resimplifying inuse:
% 18.56/18.94 Done
% 18.56/18.94
% 18.56/18.94
% 18.56/18.94 Intermediate Status:
% 18.56/18.94 Generated: 131387
% 18.56/18.94 Kept: 20298
% 18.56/18.94 Inuse: 1253
% 18.56/18.94 Deleted: 912
% 18.56/18.94 Deletedinuse: 10
% 18.56/18.94
% 18.56/18.94 Resimplifying inuse:
% 18.56/18.94 Done
% 18.56/18.94
% 18.56/18.94 Resimplifying inuse:
% 18.56/18.94 Done
% 18.56/18.94
% 18.56/18.94
% 18.56/18.94 Intermediate Status:
% 18.56/18.94 Generated: 142086
% 18.56/18.94 Kept: 22305
% 18.56/18.94 Inuse: 1363
% 18.56/18.94 Deleted: 912
% 18.56/18.94 Deletedinuse: 10
% 18.56/18.94
% 18.56/18.94 Resimplifying inuse:
% 18.56/18.94 Done
% 18.56/18.94
% 18.56/18.94 Resimplifying inuse:
% 18.56/18.94 Done
% 18.56/18.94
% 18.56/18.94
% 18.56/18.94 Intermediate Status:
% 18.56/18.94 Generated: 155555
% 18.56/18.94 Kept: 24307
% 18.56/18.94 Inuse: 1495
% 18.56/18.94 Deleted: 912
% 18.56/18.94 Deletedinuse: 10
% 18.56/18.94
% 18.56/18.94 Resimplifying inuse:
% 18.56/18.94 Done
% 18.56/18.94
% 18.56/18.94 *** allocated 576640 integers for termspace/termends
% 18.56/18.94 Resimplifying inuse:
% 18.56/18.94 Done
% 18.56/18.94
% 18.56/18.94
% 18.56/18.94 Intermediate Status:
% 18.56/18.94 Generated: 168134
% 18.56/18.94 Kept: 26309
% 18.56/18.94 Inuse: 1613
% 18.56/18.94 Deleted: 912
% 18.56/18.94 Deletedinuse: 10
% 18.56/18.94
% 18.56/18.94 Resimplifying inuse:
% 18.56/18.94 Done
% 18.56/18.94
% 18.56/18.94 *** allocated 1946160 integers for clauses
% 18.56/18.94 Resimplifying inuse:
% 18.56/18.94 Done
% 18.56/18.94
% 18.56/18.94
% 18.56/18.94 Intermediate Status:
% 18.56/18.94 Generated: 181412
% 18.56/18.94 Kept: 28375
% 18.56/18.94 Inuse: 1738
% 18.56/18.94 Deleted: 912
% 18.56/18.94 Deletedinuse: 10
% 18.56/18.94
% 18.56/18.94 Resimplifying inuse:
% 18.56/18.94 Done
% 18.56/18.94
% 18.56/18.94 Resimplifying inuse:
% 18.56/18.94 Done
% 18.56/18.94
% 18.56/18.94
% 18.56/18.94 Intermediate Status:
% 18.56/18.94 Generated: 190345
% 18.56/18.94 Kept: 30375
% 18.56/18.94 Inuse: 1823
% 18.56/18.94 Deleted: 912
% 18.56/18.94 Deletedinuse: 10
% 18.56/18.94
% 18.56/18.94 Resimplifying inuse:
% 18.56/18.94 Done
% 18.56/18.94
% 18.56/18.94 Resimplifying inuse:
% 18.56/18.94 Done
% 18.56/18.94
% 18.56/18.94
% 18.56/18.94 Intermediate Status:
% 18.56/18.94 Generated: 201601
% 18.56/18.94 Kept: 32378
% 18.56/18.94 Inuse: 1931
% 18.56/18.94 Deleted: 913
% 18.56/18.94 Deletedinuse: 10
% 18.56/18.94
% 18.56/18.94 Resimplifying inuse:
% 18.56/18.94 Done
% 18.56/18.94
% 18.56/18.94
% 18.56/18.94 Intermediate Status:
% 18.56/18.94 Generated: 209786
% 18.56/18.94 Kept: 34428
% 18.56/18.94 Inuse: 2007
% 18.56/18.94 Deleted: 913
% 18.56/18.94 Deletedinuse: 10
% 18.56/18.94
% 18.56/18.94 Resimplifying inuse:
% 18.56/18.94 Done
% 18.56/18.94
% 18.56/18.94 Resimplifying inuse:
% 18.56/18.94 Done
% 18.56/18.94
% 18.56/18.94
% 18.56/18.94 Intermediate Status:
% 18.56/18.94 Generated: 220316
% 18.56/18.94 Kept: 36432
% 18.56/18.94 Inuse: 2105
% 18.56/18.94 Deleted: 913
% 18.56/18.94 Deletedinuse: 10
% 18.56/18.94
% 18.56/18.94 Resimplifying inuse:
% 18.56/18.94 Done
% 18.56/18.94
% 18.56/18.94 Resimplifying inuse:
% 18.56/18.94 Done
% 18.56/18.94
% 18.56/18.94
% 18.56/18.94 Intermediate Status:
% 18.56/18.94 Generated: 233082
% 18.56/18.94 Kept: 38432
% 18.56/18.94 Inuse: 2224
% 18.56/18.94 Deleted: 913
% 18.56/18.94 Deletedinuse: 10
% 18.56/18.94
% 18.56/18.94 Resimplifying inuse:
% 18.56/18.94 Done
% 18.56/18.94
% 18.56/18.94 Resimplifying inuse:
% 18.56/18.94 Done
% 18.56/18.94
% 18.56/18.94 Resimplifying clauses:
% 18.56/18.94 Done
% 18.56/18.94
% 18.56/18.94
% 18.56/18.94 Intermediate Status:
% 18.56/18.94 Generated: 244174
% 18.56/18.94 Kept: 40434
% 18.56/18.94 Inuse: 2325
% 18.56/18.94 Deleted: 1709
% 18.56/18.94 Deletedinuse: 14
% 18.56/18.94
% 18.56/18.94 Resimplifying inuse:
% 18.56/18.94 Done
% 18.56/18.94
% 18.56/18.94 *** allocated 864960 integers for termspace/termends
% 18.56/18.94 Resimplifying inuse:
% 18.56/18.94 Done
% 18.56/18.94
% 18.56/18.94 *** allocated 2919240 integers for clauses
% 18.56/18.94
% 18.56/18.94 Intermediate Status:
% 18.56/18.94 Generated: 256645
% 18.56/18.94 Kept: 42441
% 18.56/18.94 Inuse: 2447
% 18.56/18.94 Deleted: 1719
% 18.56/18.94 Deletedinuse: 24
% 18.56/18.94
% 18.56/18.94 Resimplifying inuse:
% 18.56/18.94 Done
% 18.56/18.94
% 18.56/18.94 Resimplifying inuse:
% 18.56/18.94 Done
% 18.56/18.94
% 18.56/18.94
% 18.56/18.94 Intermediate Status:
% 18.56/18.94 Generated: 268401
% 18.56/18.94 Kept: 44459
% 18.56/18.94 Inuse: 2549
% 18.56/18.94 Deleted: 1735
% 18.56/18.94 Deletedinuse: 40
% 18.56/18.94
% 18.56/18.94 Resimplifying inuse:
% 18.56/18.94 Done
% 18.56/18.94
% 18.56/18.94 Resimplifying inuse:
% 18.56/18.94 Done
% 18.56/18.94
% 18.56/18.94
% 18.56/18.94 Intermediate Status:
% 18.56/18.94 Generated: 281000
% 18.56/18.94 Kept: 46462
% 18.56/18.94 Inuse: 2676
% 18.56/18.94 Deleted: 1747
% 18.56/18.94 Deletedinuse: 52
% 18.56/18.94
% 18.56/18.94 Resimplifying inuse:
% 18.56/18.94 Done
% 18.56/18.94
% 18.56/18.94 Resimplifying inuse:
% 18.56/18.94 Done
% 18.56/18.94
% 18.56/18.94
% 18.56/18.94 Intermediate Status:
% 18.56/18.94 Generated: 292445
% 18.56/18.94 Kept: 48467
% 18.56/18.94 Inuse: 2788
% 18.56/18.94 Deleted: 1767
% 18.56/18.94 Deletedinuse: 72
% 18.56/18.94
% 18.56/18.94 Resimplifying inuse:
% 18.56/18.94 Done
% 18.56/18.94
% 18.56/18.94 Resimplifying inuse:
% 18.56/18.94 Done
% 18.56/18.94
% 18.56/18.94
% 18.56/18.94 Intermediate Status:
% 18.56/18.94 Generated: 305797
% 18.56/18.94 Kept: 50476
% 18.56/18.94 Inuse: 2914
% 18.56/18.94 Deleted: 1783
% 18.56/18.94 Deletedinuse: 88
% 18.56/18.94
% 18.56/18.94 Resimplifying inuse:
% 18.56/18.94 Done
% 18.56/18.94
% 18.56/18.94 Resimplifying inuse:
% 18.56/18.94 Done
% 18.56/18.94
% 18.56/18.94
% 18.56/18.94 Intermediate Status:
% 18.56/18.94 Generated: 317466
% 18.56/18.94 Kept: 52488
% 18.56/18.94 Inuse: 3006
% 18.56/18.94 Deleted: 1791
% 18.56/18.94 Deletedinuse: 96
% 18.56/18.94
% 18.56/18.94 Resimplifying inuse:
% 18.56/18.94 Done
% 18.56/18.94
% 18.56/18.94 Resimplifying inuse:
% 18.56/18.94 Done
% 18.56/18.94
% 18.56/18.94
% 18.56/18.94 Intermediate Status:
% 18.56/18.94 Generated: 341460
% 18.56/18.94 Kept: 54494
% 18.56/18.94 Inuse: 3165
% 18.56/18.94 Deleted: 1805
% 18.56/18.94 Deletedinuse: 109
% 18.56/18.94
% 18.56/18.94 Resimplifying inuse:
% 18.56/18.94 Done
% 18.56/18.94
% 18.56/18.94 Resimplifying inuse:
% 18.56/18.94 Done
% 18.56/18.94
% 18.56/18.94
% 18.56/18.94 Intermediate Status:
% 18.56/18.94 Generated: 359510
% 18.56/18.94 Kept: 56496
% 18.56/18.94 Inuse: 3347
% 18.56/18.94 Deleted: 1865
% 18.56/18.94 Deletedinuse: 122
% 18.56/18.94
% 18.56/18.94 Resimplifying inuse:
% 18.56/18.94 Done
% 18.56/18.94
% 18.56/18.94 Resimplifying inuse:
% 18.56/18.94 Done
% 18.56/18.94
% 18.56/18.94
% 18.56/18.94 Intermediate Status:
% 18.56/18.94 Generated: 379939
% 18.56/18.94 Kept: 58504
% 18.56/18.94 Inuse: 3576
% 18.56/18.94 Deleted: 2032
% 18.56/18.94 Deletedinuse: 232
% 18.56/18.94
% 18.56/18.94 Resimplifying inuse:
% 18.56/18.94 Done
% 18.56/18.94
% 18.56/18.94 Resimplifying inuse:
% 18.56/18.94 Done
% 18.56/18.94
% 18.56/18.94 Resimplifying clauses:
% 18.56/18.94 Done
% 18.56/18.94
% 18.56/18.94
% 18.56/18.94 Intermediate Status:
% 18.56/18.94 Generated: 394306
% 18.56/18.94 Kept: 61774
% 18.56/18.94 Inuse: 3711
% 18.56/18.94 Deleted: 28566
% 18.56/18.94 Deletedinuse: 234
% 18.56/18.94
% 18.56/18.94 Resimplifying inuse:
% 18.56/18.94 Done
% 18.56/18.94
% 18.56/18.94 *** allocated 4378860 integers for clauses
% 18.56/18.94 Resimplifying inuse:
% 18.56/18.94 Done
% 18.56/18.94
% 18.56/18.94
% 18.56/18.94 Bliksems!, er is een bewijs:
% 18.56/18.94 % SZS status Theorem
% 18.56/18.94 % SZS output start Refutation
% 18.56/18.94
% 18.56/18.94 (0) {G0,W8,D2,L2,V3,M2} I { ! coll( X, Y, Z ), coll( X, Z, Y ) }.
% 18.56/18.94 (1) {G0,W8,D2,L2,V3,M2} I { ! coll( X, Y, Z ), coll( Y, X, Z ) }.
% 18.56/18.94 (2) {G0,W12,D2,L3,V4,M3} I { ! coll( X, T, Y ), ! coll( X, T, Z ), coll( Y
% 18.56/18.94 , Z, X ) }.
% 18.56/18.94 (6) {G0,W10,D2,L2,V4,M2} I { ! perp( X, Y, Z, T ), perp( X, Y, T, Z ) }.
% 18.56/18.94 (7) {G0,W10,D2,L2,V4,M2} I { ! perp( X, Y, Z, T ), perp( Z, T, X, Y ) }.
% 18.56/18.94 (8) {G0,W15,D2,L3,V6,M3} I { ! perp( X, Y, U, W ), ! perp( U, W, Z, T ),
% 18.56/18.94 para( X, Y, Z, T ) }.
% 18.56/18.94 (13) {G0,W10,D2,L2,V4,M2} I { ! cyclic( X, Y, Z, T ), cyclic( X, Y, T, Z )
% 18.56/18.94 }.
% 18.56/18.94 (14) {G0,W10,D2,L2,V4,M2} I { ! cyclic( X, Y, Z, T ), cyclic( X, Z, Y, T )
% 18.56/18.94 }.
% 18.56/18.94 (15) {G0,W10,D2,L2,V4,M2} I { ! cyclic( X, Y, Z, T ), cyclic( Y, X, Z, T )
% 18.56/18.94 }.
% 18.56/18.94 (16) {G0,W15,D2,L3,V5,M3} I { ! cyclic( U, X, Y, Z ), ! cyclic( U, X, Y, T
% 18.56/18.94 ), cyclic( X, Y, Z, T ) }.
% 18.56/18.94 (18) {G0,W18,D2,L2,V8,M2} I { ! eqangle( X, Y, Z, T, U, W, V0, V1 ),
% 18.56/18.94 eqangle( Z, T, X, Y, V0, V1, U, W ) }.
% 18.56/18.94 (21) {G0,W27,D2,L3,V12,M3} I { ! eqangle( X, Y, Z, T, V2, V3, V4, V5 ), !
% 18.56/18.94 eqangle( V2, V3, V4, V5, U, W, V0, V1 ), eqangle( X, Y, Z, T, U, W, V0,
% 18.56/18.94 V1 ) }.
% 18.56/18.94 (23) {G0,W10,D2,L2,V4,M2} I { ! cong( X, Y, Z, T ), cong( Z, T, X, Y ) }.
% 18.56/18.94 (38) {G0,W14,D2,L2,V6,M2} I { ! eqangle( X, Y, U, W, Z, T, U, W ), para( X
% 18.56/18.94 , Y, Z, T ) }.
% 18.56/18.94 (39) {G0,W14,D2,L2,V6,M2} I { ! para( X, Y, Z, T ), eqangle( X, Y, U, W, Z
% 18.56/18.94 , T, U, W ) }.
% 18.56/18.94 (40) {G0,W14,D2,L2,V4,M2} I { ! cyclic( X, Y, Z, T ), eqangle( Z, X, Z, Y,
% 18.56/18.94 T, X, T, Y ) }.
% 18.56/18.94 (42) {G0,W18,D2,L3,V4,M3} I { ! eqangle( Z, X, Z, Y, T, X, T, Y ), ! coll(
% 18.56/18.94 Z, T, Y ), cyclic( X, Y, Z, T ) }.
% 18.56/18.94 (43) {G0,W29,D2,L5,V6,M5} I { ! cyclic( X, Y, U, Z ), ! cyclic( X, Y, U, T
% 18.56/18.94 ), ! cyclic( X, Y, U, W ), ! eqangle( U, X, U, Y, W, Z, W, T ), cong( X
% 18.56/18.94 , Y, Z, T ) }.
% 18.56/18.94 (52) {G0,W14,D2,L3,V4,M3} I { ! perp( X, Y, Y, T ), ! midp( Z, X, T ), cong
% 18.56/18.94 ( X, Z, Y, Z ) }.
% 18.56/18.94 (56) {G0,W15,D2,L3,V4,M3} I { ! cong( X, Z, Y, Z ), ! cong( X, T, Y, T ),
% 18.56/18.94 perp( X, Y, Z, T ) }.
% 18.56/18.94 (57) {G0,W20,D2,L4,V4,M4} I { ! cong( X, Y, T, Y ), ! cong( X, Z, T, Z ), !
% 18.56/18.94 cyclic( X, T, Y, Z ), perp( Y, X, X, Z ) }.
% 18.56/18.94 (66) {G0,W9,D2,L2,V3,M2} I { ! para( X, Y, X, Z ), coll( X, Y, Z ) }.
% 18.56/18.94 (67) {G0,W13,D2,L3,V3,M3} I { ! cong( X, Y, X, Z ), ! coll( X, Y, Z ), midp
% 18.56/18.94 ( X, Y, Z ) }.
% 18.56/18.94 (124) {G0,W5,D2,L1,V0,M1} I { perp( skol23, skol35, skol27, skol29 ) }.
% 18.56/18.94 (125) {G0,W4,D2,L1,V0,M1} I { coll( skol23, skol27, skol29 ) }.
% 18.56/18.94 (132) {G0,W9,D2,L1,V0,M1} I { ! eqangle( skol20, skol25, skol25, skol24,
% 18.56/18.94 skol22, skol26, skol26, skol23 ) }.
% 18.56/18.94 (171) {G1,W4,D2,L1,V0,M1} R(0,125) { coll( skol23, skol29, skol27 ) }.
% 18.56/18.94 (177) {G2,W4,D2,L1,V0,M1} R(1,171) { coll( skol29, skol23, skol27 ) }.
% 18.56/18.94 (211) {G1,W12,D2,L3,V4,M3} R(2,0) { ! coll( X, Y, Z ), ! coll( X, Y, T ),
% 18.56/18.94 coll( Z, X, T ) }.
% 18.56/18.94 (222) {G2,W8,D2,L2,V3,M2} F(211) { ! coll( X, Y, Z ), coll( Z, X, Z ) }.
% 18.56/18.94 (301) {G1,W15,D2,L3,V6,M3} R(8,7) { ! perp( X, Y, Z, T ), para( X, Y, U, W
% 18.56/18.94 ), ! perp( U, W, Z, T ) }.
% 18.56/18.94 (309) {G2,W10,D2,L2,V4,M2} F(301) { ! perp( X, Y, Z, T ), para( X, Y, X, Y
% 18.56/18.94 ) }.
% 18.56/18.94 (411) {G1,W5,D2,L1,V0,M1} R(124,7) { perp( skol27, skol29, skol23, skol35 )
% 18.56/18.94 }.
% 18.56/18.94 (414) {G1,W10,D2,L2,V4,M2} R(14,13) { ! cyclic( X, Y, Z, T ), cyclic( X, Z
% 18.56/18.94 , T, Y ) }.
% 18.56/18.94 (418) {G2,W5,D2,L1,V0,M1} R(411,6) { perp( skol27, skol29, skol35, skol23 )
% 18.56/18.94 }.
% 18.56/18.94 (431) {G1,W10,D2,L2,V4,M2} R(15,14) { cyclic( X, Y, Z, T ), ! cyclic( Y, Z
% 18.56/18.94 , X, T ) }.
% 18.56/18.94 (433) {G1,W10,D2,L2,V4,M2} R(15,13) { cyclic( X, Y, Z, T ), ! cyclic( Y, X
% 18.56/18.94 , T, Z ) }.
% 18.56/18.94 (458) {G1,W15,D2,L3,V5,M3} R(16,15) { ! cyclic( X, Y, Z, T ), ! cyclic( X,
% 18.56/18.94 Y, Z, U ), cyclic( Z, Y, T, U ) }.
% 18.56/18.94 (463) {G1,W15,D2,L3,V5,M3} R(16,13) { ! cyclic( X, Y, Z, T ), cyclic( Y, Z
% 18.56/18.94 , T, U ), ! cyclic( X, Y, U, Z ) }.
% 18.56/18.94 (467) {G2,W10,D2,L2,V4,M2} F(458) { ! cyclic( X, Y, Z, T ), cyclic( Z, Y, T
% 18.56/18.94 , T ) }.
% 18.56/18.94 (552) {G3,W4,D2,L1,V0,M1} R(222,177) { coll( skol27, skol29, skol27 ) }.
% 18.56/18.94 (765) {G4,W4,D2,L1,V0,M1} R(552,0) { coll( skol27, skol27, skol29 ) }.
% 18.56/18.94 (822) {G1,W23,D2,L3,V10,M3} R(39,21) { ! para( X, Y, Z, T ), ! eqangle( U,
% 18.56/18.94 W, V0, V1, X, Y, V2, V3 ), eqangle( U, W, V0, V1, Z, T, V2, V3 ) }.
% 18.56/18.94 (825) {G1,W14,D2,L2,V6,M2} R(39,18) { ! para( X, Y, Z, T ), eqangle( U, W,
% 18.56/18.94 X, Y, U, W, Z, T ) }.
% 18.56/18.94 (839) {G1,W10,D2,L2,V3,M2} R(40,38) { ! cyclic( X, Y, Z, Z ), para( Z, X, Z
% 18.56/18.94 , X ) }.
% 18.56/18.94 (908) {G5,W14,D2,L2,V1,M2} R(42,765) { ! eqangle( skol27, X, skol27, skol29
% 18.56/18.94 , skol27, X, skol27, skol29 ), cyclic( X, skol29, skol27, skol27 ) }.
% 18.56/18.94 (1035) {G1,W20,D2,L4,V4,M4} R(43,40);f { ! cyclic( X, Y, Z, X ), ! cyclic(
% 18.56/18.94 X, Y, Z, Y ), ! cyclic( X, Y, Z, T ), cong( X, Y, X, Y ) }.
% 18.56/18.94 (1067) {G2,W15,D2,L3,V3,M3} F(1035) { ! cyclic( X, Y, Z, X ), ! cyclic( X,
% 18.56/18.94 Y, Z, Y ), cong( X, Y, X, Y ) }.
% 18.56/18.94 (1820) {G1,W20,D2,L4,V4,M4} R(57,23) { ! cong( X, Y, Z, Y ), ! cyclic( X, Z
% 18.56/18.94 , Y, T ), perp( Y, X, X, T ), ! cong( Z, T, X, T ) }.
% 18.56/18.94 (20592) {G3,W5,D2,L1,V0,M1} R(309,418) { para( skol27, skol29, skol27,
% 18.56/18.94 skol29 ) }.
% 18.56/18.94 (51243) {G4,W9,D2,L1,V2,M1} R(825,20592) { eqangle( X, Y, skol27, skol29, X
% 18.56/18.94 , Y, skol27, skol29 ) }.
% 18.56/18.94 (52236) {G2,W9,D2,L2,V3,M2} R(839,66) { ! cyclic( X, Y, Z, Z ), coll( Z, X
% 18.56/18.94 , X ) }.
% 18.56/18.94 (55714) {G6,W5,D2,L1,V1,M1} S(908);r(51243) { cyclic( X, skol29, skol27,
% 18.56/18.94 skol27 ) }.
% 18.56/18.94 (55735) {G7,W5,D2,L1,V1,M1} R(55714,433) { cyclic( skol29, X, skol27,
% 18.56/18.94 skol27 ) }.
% 18.56/18.94 (55747) {G8,W5,D2,L1,V1,M1} R(55735,467) { cyclic( skol27, X, skol27,
% 18.56/18.94 skol27 ) }.
% 18.56/18.94 (55769) {G9,W5,D2,L1,V1,M1} R(55747,431) { cyclic( skol27, skol27, X,
% 18.56/18.94 skol27 ) }.
% 18.56/18.94 (55770) {G9,W5,D2,L1,V1,M1} R(55747,414) { cyclic( skol27, skol27, skol27,
% 18.56/18.94 X ) }.
% 18.56/18.94 (55775) {G10,W5,D2,L1,V2,M1} R(55769,463);r(55770) { cyclic( skol27, skol27
% 18.56/18.94 , X, Y ) }.
% 18.56/18.94 (55797) {G11,W5,D2,L1,V3,M1} R(55775,463);r(55775) { cyclic( skol27, X, Y,
% 18.56/18.94 Z ) }.
% 18.56/18.94 (55816) {G12,W5,D2,L1,V4,M1} R(55797,463);r(55797) { cyclic( X, Y, Z, T )
% 18.56/18.94 }.
% 18.56/18.94 (60063) {G13,W4,D2,L1,V2,M1} S(52236);r(55816) { coll( Z, X, X ) }.
% 18.56/18.94 (61739) {G13,W15,D2,L3,V4,M3} S(1820);r(55816) { ! cong( X, Y, Z, Y ), perp
% 18.56/18.94 ( Y, X, X, T ), ! cong( Z, T, X, T ) }.
% 18.56/18.94 (61765) {G13,W5,D2,L1,V2,M1} S(1067);r(55816);r(55816) { cong( X, Y, X, Y )
% 18.56/18.94 }.
% 18.56/18.94 (61772) {G14,W5,D2,L1,V2,M1} F(61739);r(61765) { perp( Y, X, X, Y ) }.
% 18.56/18.94 (61786) {G14,W4,D2,L1,V2,M1} R(60063,67);r(61765) { midp( X, Y, Y ) }.
% 18.56/18.94 (61805) {G15,W5,D2,L1,V3,M1} R(61786,52);r(61772) { cong( X, Z, Y, Z ) }.
% 18.56/18.94 (62781) {G16,W5,D2,L1,V4,M1} S(56);r(61805);r(61805) { perp( X, Y, Z, T )
% 18.56/18.94 }.
% 18.56/18.94 (62784) {G17,W5,D2,L1,V4,M1} S(8);r(62781);r(62781) { para( X, Y, Z, T )
% 18.56/18.94 }.
% 18.56/18.94 (63205) {G18,W9,D2,L1,V6,M1} R(62784,825) { eqangle( X, Y, Z, T, X, Y, U, W
% 18.56/18.94 ) }.
% 18.56/18.94 (63373) {G19,W9,D2,L1,V8,M1} R(63205,822);r(62784) { eqangle( X, Y, U, W, Z
% 18.56/18.94 , T, V0, V1 ) }.
% 18.56/18.94 (63374) {G20,W0,D0,L0,V0,M0} R(63373,132) { }.
% 18.56/18.94
% 18.56/18.94
% 18.56/18.94 % SZS output end Refutation
% 18.56/18.94 found a proof!
% 18.56/18.94
% 18.56/18.94
% 18.56/18.94 Unprocessed initial clauses:
% 18.56/18.94
% 18.56/18.94 (63376) {G0,W8,D2,L2,V3,M2} { ! coll( X, Y, Z ), coll( X, Z, Y ) }.
% 18.56/18.94 (63377) {G0,W8,D2,L2,V3,M2} { ! coll( X, Y, Z ), coll( Y, X, Z ) }.
% 18.56/18.94 (63378) {G0,W12,D2,L3,V4,M3} { ! coll( X, T, Y ), ! coll( X, T, Z ), coll
% 18.56/18.94 ( Y, Z, X ) }.
% 18.56/18.94 (63379) {G0,W10,D2,L2,V4,M2} { ! para( X, Y, Z, T ), para( X, Y, T, Z )
% 18.56/18.94 }.
% 18.56/18.94 (63380) {G0,W10,D2,L2,V4,M2} { ! para( X, Y, Z, T ), para( Z, T, X, Y )
% 18.56/18.94 }.
% 18.56/18.94 (63381) {G0,W15,D2,L3,V6,M3} { ! para( X, Y, U, W ), ! para( U, W, Z, T )
% 18.56/18.94 , para( X, Y, Z, T ) }.
% 18.56/18.94 (63382) {G0,W10,D2,L2,V4,M2} { ! perp( X, Y, Z, T ), perp( X, Y, T, Z )
% 18.56/18.94 }.
% 18.56/18.94 (63383) {G0,W10,D2,L2,V4,M2} { ! perp( X, Y, Z, T ), perp( Z, T, X, Y )
% 18.56/18.94 }.
% 18.56/18.94 (63384) {G0,W15,D2,L3,V6,M3} { ! perp( X, Y, U, W ), ! perp( U, W, Z, T )
% 18.56/18.94 , para( X, Y, Z, T ) }.
% 18.56/18.94 (63385) {G0,W15,D2,L3,V6,M3} { ! para( X, Y, U, W ), ! perp( U, W, Z, T )
% 18.56/18.94 , perp( X, Y, Z, T ) }.
% 18.56/18.94 (63386) {G0,W8,D2,L2,V3,M2} { ! midp( Z, Y, X ), midp( Z, X, Y ) }.
% 18.56/18.94 (63387) {G0,W15,D2,L3,V4,M3} { ! cong( T, X, T, Y ), ! cong( T, X, T, Z )
% 18.56/18.94 , circle( T, X, Y, Z ) }.
% 18.56/18.94 (63388) {G0,W20,D2,L4,V5,M4} { ! cong( U, X, U, Y ), ! cong( U, X, U, Z )
% 18.56/18.94 , ! cong( U, X, U, T ), cyclic( X, Y, Z, T ) }.
% 18.56/18.94 (63389) {G0,W10,D2,L2,V4,M2} { ! cyclic( X, Y, Z, T ), cyclic( X, Y, T, Z
% 18.56/18.94 ) }.
% 18.56/18.94 (63390) {G0,W10,D2,L2,V4,M2} { ! cyclic( X, Y, Z, T ), cyclic( X, Z, Y, T
% 18.56/18.94 ) }.
% 18.56/18.94 (63391) {G0,W10,D2,L2,V4,M2} { ! cyclic( X, Y, Z, T ), cyclic( Y, X, Z, T
% 18.56/18.94 ) }.
% 18.56/18.94 (63392) {G0,W15,D2,L3,V5,M3} { ! cyclic( U, X, Y, Z ), ! cyclic( U, X, Y,
% 18.56/18.94 T ), cyclic( X, Y, Z, T ) }.
% 18.56/18.94 (63393) {G0,W18,D2,L2,V8,M2} { ! eqangle( X, Y, Z, T, U, W, V0, V1 ),
% 18.56/18.94 eqangle( Y, X, Z, T, U, W, V0, V1 ) }.
% 18.56/18.94 (63394) {G0,W18,D2,L2,V8,M2} { ! eqangle( X, Y, Z, T, U, W, V0, V1 ),
% 18.56/18.94 eqangle( Z, T, X, Y, V0, V1, U, W ) }.
% 18.56/18.94 (63395) {G0,W18,D2,L2,V8,M2} { ! eqangle( X, Y, Z, T, U, W, V0, V1 ),
% 18.56/18.94 eqangle( U, W, V0, V1, X, Y, Z, T ) }.
% 18.56/18.94 (63396) {G0,W18,D2,L2,V8,M2} { ! eqangle( X, Y, Z, T, U, W, V0, V1 ),
% 18.56/18.94 eqangle( X, Y, U, W, Z, T, V0, V1 ) }.
% 18.56/18.94 (63397) {G0,W27,D2,L3,V12,M3} { ! eqangle( X, Y, Z, T, V2, V3, V4, V5 ), !
% 18.56/18.94 eqangle( V2, V3, V4, V5, U, W, V0, V1 ), eqangle( X, Y, Z, T, U, W, V0,
% 18.56/18.94 V1 ) }.
% 18.56/18.94 (63398) {G0,W10,D2,L2,V4,M2} { ! cong( X, Y, Z, T ), cong( X, Y, T, Z )
% 18.56/18.94 }.
% 18.56/18.94 (63399) {G0,W10,D2,L2,V4,M2} { ! cong( X, Y, Z, T ), cong( Z, T, X, Y )
% 18.56/18.94 }.
% 18.56/18.94 (63400) {G0,W15,D2,L3,V6,M3} { ! cong( X, Y, U, W ), ! cong( U, W, Z, T )
% 18.56/18.94 , cong( X, Y, Z, T ) }.
% 18.56/18.94 (63401) {G0,W18,D2,L2,V8,M2} { ! eqratio( X, Y, Z, T, U, W, V0, V1 ),
% 18.56/18.94 eqratio( Y, X, Z, T, U, W, V0, V1 ) }.
% 18.56/18.94 (63402) {G0,W18,D2,L2,V8,M2} { ! eqratio( X, Y, Z, T, U, W, V0, V1 ),
% 18.56/18.94 eqratio( Z, T, X, Y, V0, V1, U, W ) }.
% 18.56/18.94 (63403) {G0,W18,D2,L2,V8,M2} { ! eqratio( X, Y, Z, T, U, W, V0, V1 ),
% 18.56/18.94 eqratio( U, W, V0, V1, X, Y, Z, T ) }.
% 18.56/18.94 (63404) {G0,W18,D2,L2,V8,M2} { ! eqratio( X, Y, Z, T, U, W, V0, V1 ),
% 18.56/18.94 eqratio( X, Y, U, W, Z, T, V0, V1 ) }.
% 18.56/18.94 (63405) {G0,W27,D2,L3,V12,M3} { ! eqratio( X, Y, Z, T, V2, V3, V4, V5 ), !
% 18.56/18.94 eqratio( V2, V3, V4, V5, U, W, V0, V1 ), eqratio( X, Y, Z, T, U, W, V0,
% 18.56/18.94 V1 ) }.
% 18.56/18.94 (63406) {G0,W14,D2,L2,V6,M2} { ! simtri( X, Z, Y, T, W, U ), simtri( X, Y
% 18.56/18.94 , Z, T, U, W ) }.
% 18.56/18.94 (63407) {G0,W14,D2,L2,V6,M2} { ! simtri( Y, X, Z, U, T, W ), simtri( X, Y
% 18.56/18.94 , Z, T, U, W ) }.
% 18.56/18.94 (63408) {G0,W14,D2,L2,V6,M2} { ! simtri( T, U, W, X, Y, Z ), simtri( X, Y
% 18.56/18.94 , Z, T, U, W ) }.
% 18.56/18.94 (63409) {G0,W21,D2,L3,V9,M3} { ! simtri( X, Y, Z, V0, V1, V2 ), ! simtri(
% 18.56/18.94 V0, V1, V2, T, U, W ), simtri( X, Y, Z, T, U, W ) }.
% 18.56/18.94 (63410) {G0,W14,D2,L2,V6,M2} { ! contri( X, Z, Y, T, W, U ), contri( X, Y
% 18.56/18.94 , Z, T, U, W ) }.
% 18.56/18.94 (63411) {G0,W14,D2,L2,V6,M2} { ! contri( Y, X, Z, U, T, W ), contri( X, Y
% 18.56/18.94 , Z, T, U, W ) }.
% 18.56/18.94 (63412) {G0,W14,D2,L2,V6,M2} { ! contri( T, U, W, X, Y, Z ), contri( X, Y
% 18.56/18.94 , Z, T, U, W ) }.
% 18.56/18.94 (63413) {G0,W21,D2,L3,V9,M3} { ! contri( X, Y, Z, V0, V1, V2 ), ! contri(
% 18.56/18.94 V0, V1, V2, T, U, W ), contri( X, Y, Z, T, U, W ) }.
% 18.56/18.94 (63414) {G0,W14,D2,L2,V6,M2} { ! eqangle( X, Y, U, W, Z, T, U, W ), para(
% 18.56/18.94 X, Y, Z, T ) }.
% 18.56/18.94 (63415) {G0,W14,D2,L2,V6,M2} { ! para( X, Y, Z, T ), eqangle( X, Y, U, W,
% 18.56/18.94 Z, T, U, W ) }.
% 18.56/18.94 (63416) {G0,W14,D2,L2,V4,M2} { ! cyclic( X, Y, Z, T ), eqangle( Z, X, Z, Y
% 18.56/18.94 , T, X, T, Y ) }.
% 18.56/18.94 (63417) {G0,W18,D2,L3,V4,M3} { ! eqangle( Z, X, Z, Y, T, X, T, Y ), coll(
% 18.56/18.94 Z, T, X ), cyclic( X, Y, Z, T ) }.
% 18.56/18.94 (63418) {G0,W18,D2,L3,V4,M3} { ! eqangle( Z, X, Z, Y, T, X, T, Y ), ! coll
% 18.56/18.94 ( Z, T, Y ), cyclic( X, Y, Z, T ) }.
% 18.56/18.94 (63419) {G0,W29,D2,L5,V6,M5} { ! cyclic( X, Y, U, Z ), ! cyclic( X, Y, U,
% 18.56/18.94 T ), ! cyclic( X, Y, U, W ), ! eqangle( U, X, U, Y, W, Z, W, T ), cong( X
% 18.56/18.94 , Y, Z, T ) }.
% 18.56/18.94 (63420) {G0,W13,D2,L3,V5,M3} { ! midp( Z, U, X ), ! midp( T, U, Y ), para
% 18.56/18.94 ( Z, T, X, Y ) }.
% 18.56/18.94 (63421) {G0,W17,D2,L4,V5,M4} { ! midp( U, X, T ), ! para( U, Z, T, Y ), !
% 18.56/18.94 coll( Z, X, Y ), midp( Z, X, Y ) }.
% 18.56/18.94 (63422) {G0,W14,D2,L2,V3,M2} { ! cong( Z, X, Z, Y ), eqangle( Z, X, X, Y,
% 18.56/18.94 X, Y, Z, Y ) }.
% 18.56/18.94 (63423) {G0,W18,D2,L3,V3,M3} { ! eqangle( Z, X, X, Y, X, Y, Z, Y ), coll(
% 18.56/18.94 Z, X, Y ), cong( Z, X, Z, Y ) }.
% 18.56/18.94 (63424) {G0,W19,D2,L3,V5,M3} { ! circle( U, X, Y, Z ), ! perp( U, X, X, T
% 18.56/18.94 ), eqangle( X, T, X, Y, Z, X, Z, Y ) }.
% 18.56/18.94 (63425) {G0,W19,D2,L3,V5,M3} { ! circle( Y, X, T, U ), ! eqangle( X, Z, X
% 18.56/18.94 , T, U, X, U, T ), perp( Y, X, X, Z ) }.
% 18.56/18.94 (63426) {G0,W18,D2,L3,V5,M3} { ! circle( T, X, Y, Z ), ! midp( U, Y, Z ),
% 18.56/18.94 eqangle( X, Y, X, Z, T, Y, T, U ) }.
% 18.56/18.94 (63427) {G0,W22,D2,L4,V5,M4} { ! circle( U, T, X, Y ), ! coll( Z, X, Y ),
% 18.56/18.94 ! eqangle( T, X, T, Y, U, X, U, Z ), midp( Z, X, Y ) }.
% 18.56/18.94 (63428) {G0,W14,D2,L3,V4,M3} { ! perp( X, Y, Y, T ), ! midp( Z, X, T ),
% 18.56/18.94 cong( X, Z, Y, Z ) }.
% 18.56/18.94 (63429) {G0,W14,D2,L3,V4,M3} { ! circle( T, X, Y, Z ), ! coll( T, X, Z ),
% 18.56/18.94 perp( X, Y, Y, Z ) }.
% 18.56/18.94 (63430) {G0,W19,D2,L3,V4,M3} { ! cyclic( X, Y, Z, T ), ! para( X, Y, Z, T
% 18.56/18.94 ), eqangle( X, T, Z, T, Z, T, Z, Y ) }.
% 18.56/18.94 (63431) {G0,W14,D2,L3,V4,M3} { ! midp( T, X, Y ), ! perp( Z, T, X, Y ),
% 18.56/18.94 cong( Z, X, Z, Y ) }.
% 18.56/18.94 (63432) {G0,W15,D2,L3,V4,M3} { ! cong( X, Z, Y, Z ), ! cong( X, T, Y, T )
% 18.56/18.94 , perp( X, Y, Z, T ) }.
% 18.56/18.94 (63433) {G0,W20,D2,L4,V4,M4} { ! cong( X, Y, T, Y ), ! cong( X, Z, T, Z )
% 18.56/18.94 , ! cyclic( X, T, Y, Z ), perp( Y, X, X, Z ) }.
% 18.56/18.94 (63434) {G0,W29,D2,L4,V6,M4} { ! eqangle( X, Y, Y, Z, T, U, U, W ), !
% 18.56/18.94 eqangle( X, Z, Y, Z, T, W, U, W ), coll( X, Y, Z ), simtri( X, Y, Z, T, U
% 18.56/18.94 , W ) }.
% 18.56/18.94 (63435) {G0,W16,D2,L2,V6,M2} { ! simtri( X, Y, Z, T, U, W ), eqratio( X, Y
% 18.56/18.94 , X, Z, T, U, T, W ) }.
% 18.56/18.94 (63436) {G0,W16,D2,L2,V6,M2} { ! simtri( X, Y, Z, T, U, W ), eqangle( X, Y
% 18.56/18.94 , Y, Z, T, U, U, W ) }.
% 18.56/18.94 (63437) {G0,W19,D2,L3,V6,M3} { ! simtri( X, Y, Z, T, U, W ), ! cong( X, Y
% 18.56/18.94 , T, U ), contri( X, Y, Z, T, U, W ) }.
% 18.56/18.94 (63438) {G0,W12,D2,L2,V6,M2} { ! contri( X, Y, U, Z, T, W ), cong( X, Y, Z
% 18.56/18.94 , T ) }.
% 18.56/18.94 (63439) {G0,W13,D2,L3,V5,M3} { ! midp( U, X, Y ), ! midp( U, Z, T ), para
% 18.56/18.94 ( X, Z, Y, T ) }.
% 18.56/18.94 (63440) {G0,W18,D2,L4,V5,M4} { ! midp( Z, T, U ), ! para( T, X, U, Y ), !
% 18.56/18.94 para( T, Y, U, X ), midp( Z, X, Y ) }.
% 18.56/18.94 (63441) {G0,W22,D2,L4,V5,M4} { ! para( X, Y, Z, T ), ! coll( U, X, Z ), !
% 18.56/18.94 coll( U, Y, T ), eqratio( U, X, X, Z, U, Y, Y, T ) }.
% 18.56/18.94 (63442) {G0,W9,D2,L2,V3,M2} { ! para( X, Y, X, Z ), coll( X, Y, Z ) }.
% 18.56/18.94 (63443) {G0,W13,D2,L3,V3,M3} { ! cong( X, Y, X, Z ), ! coll( X, Y, Z ),
% 18.56/18.94 midp( X, Y, Z ) }.
% 18.56/18.94 (63444) {G0,W9,D2,L2,V3,M2} { ! midp( X, Y, Z ), cong( X, Y, X, Z ) }.
% 18.56/18.94 (63445) {G0,W8,D2,L2,V3,M2} { ! midp( X, Y, Z ), coll( X, Y, Z ) }.
% 18.56/18.94 (63446) {G0,W17,D2,L3,V6,M3} { ! midp( U, X, Y ), ! midp( W, Z, T ),
% 18.56/18.94 eqratio( U, X, X, Y, W, Z, Z, T ) }.
% 18.56/18.94 (63447) {G0,W19,D2,L3,V4,M3} { ! eqangle( X, Y, Z, T, Z, T, X, Y ), para(
% 18.56/18.94 X, Y, Z, T ), perp( X, Y, Z, T ) }.
% 18.56/18.94 (63448) {G0,W19,D2,L3,V4,M3} { ! eqangle( X, Y, Z, T, Z, T, X, Y ), perp(
% 18.56/18.94 X, Y, Z, T ), para( X, Y, Z, T ) }.
% 18.56/18.94 (63449) {G0,W19,D2,L3,V8,M3} { ! eqangle( X, Y, Z, T, U, W, V0, V1 ), !
% 18.56/18.94 para( U, W, V0, V1 ), para( X, Y, Z, T ) }.
% 18.56/18.94 (63450) {G0,W19,D2,L3,V8,M3} { ! eqangle( X, Y, Z, T, U, W, V0, V1 ), !
% 18.56/18.94 perp( U, W, V0, V1 ), perp( X, Y, Z, T ) }.
% 18.56/18.94 (63451) {G0,W19,D2,L3,V8,M3} { ! eqratio( X, Y, Z, T, U, W, V0, V1 ), !
% 18.56/18.94 cong( U, W, V0, V1 ), cong( X, Y, Z, T ) }.
% 18.56/18.94 (63452) {G0,W22,D3,L3,V6,M3} { ! perp( Z, Y, Y, X ), ! eqangle( T, Z, Y, Z
% 18.56/18.94 , Y, Z, X, Z ), coll( skol1( U, W, Z, T ), Z, T ) }.
% 18.56/18.94 (63453) {G0,W22,D3,L3,V4,M3} { ! perp( Z, Y, Y, X ), ! eqangle( T, Z, Y, Z
% 18.56/18.94 , Y, Z, X, Z ), coll( skol1( X, Y, Z, T ), X, Y ) }.
% 18.56/18.94 (63454) {G0,W22,D3,L3,V6,M3} { ! cong( Z, X, Z, Y ), ! eqangle( X, Z, Z, T
% 18.56/18.94 , Z, T, Z, Y ), coll( skol2( U, W, Z, T ), Z, T ) }.
% 18.56/18.94 (63455) {G0,W22,D3,L3,V4,M3} { ! cong( Z, X, Z, Y ), ! eqangle( X, Z, Z, T
% 18.56/18.94 , Z, T, Z, Y ), coll( Y, X, skol2( X, Y, Z, T ) ) }.
% 18.56/18.94 (63456) {G0,W22,D3,L3,V6,M3} { ! perp( Z, T, X, Y ), ! eqangle( X, Z, Z, T
% 18.56/18.94 , Z, T, Z, Y ), coll( skol3( U, W, Z, T ), Z, T ) }.
% 18.56/18.94 (63457) {G0,W22,D3,L3,V4,M3} { ! perp( Z, T, X, Y ), ! eqangle( X, Z, Z, T
% 18.56/18.94 , Z, T, Z, Y ), coll( Y, X, skol3( X, Y, Z, T ) ) }.
% 18.56/18.94 (63458) {G0,W18,D3,L3,V6,M3} { ! perp( Z, T, X, Y ), ! cong( Z, X, Z, Y )
% 18.56/18.94 , coll( skol4( U, W, Z, T ), Z, T ) }.
% 18.56/18.94 (63459) {G0,W18,D3,L3,V4,M3} { ! perp( Z, T, X, Y ), ! cong( Z, X, Z, Y )
% 18.56/18.94 , coll( Y, X, skol4( X, Y, Z, T ) ) }.
% 18.56/18.94 (63460) {G0,W22,D3,L3,V6,M3} { ! eqangle( X, Z, Y, Z, X, T, Y, U ), coll(
% 18.56/18.94 X, Y, Z ), cyclic( T, Y, Z, skol5( W, Y, Z, T ) ) }.
% 18.56/18.94 (63461) {G0,W30,D3,L3,V5,M3} { ! eqangle( X, Z, Y, Z, X, T, Y, U ), coll(
% 18.56/18.94 X, Y, Z ), eqangle( X, Z, Y, Z, X, skol5( X, Y, Z, T ), Y, skol5( X, Y, Z
% 18.56/18.94 , T ) ) }.
% 18.56/18.94 (63462) {G0,W18,D3,L3,V10,M3} { ! midp( U, X, Y ), ! midp( W, Z, T ), midp
% 18.56/18.94 ( skol6( X, V0, V1, T, V2, V3 ), X, T ) }.
% 18.56/18.94 (63463) {G0,W19,D3,L3,V8,M3} { ! midp( U, X, Y ), ! midp( W, Z, T ), para
% 18.56/18.94 ( skol6( X, V0, Z, T, V1, W ), W, X, Z ) }.
% 18.56/18.94 (63464) {G0,W19,D3,L3,V6,M3} { ! midp( U, X, Y ), ! midp( W, Z, T ), para
% 18.56/18.94 ( skol6( X, Y, Z, T, U, W ), U, Y, T ) }.
% 18.56/18.94 (63465) {G0,W22,D3,L5,V7,M5} { ! midp( Z, X, Y ), ! midp( W, T, U ), !
% 18.56/18.94 coll( T, X, Y ), ! coll( U, X, Y ), midp( skol7( X, V0 ), X, V0 ) }.
% 18.56/18.94 (63466) {G0,W26,D3,L5,V8,M5} { ! midp( T, X, U ), ! para( X, W, Z, T ), !
% 18.56/18.94 para( X, W, U, Y ), ! coll( W, Y, Z ), coll( skol8( V0, V1, Z, T ), T, Z
% 18.56/18.94 ) }.
% 18.56/18.94 (63467) {G0,W26,D3,L5,V6,M5} { ! midp( T, X, U ), ! para( X, W, Z, T ), !
% 18.56/18.94 para( X, W, U, Y ), ! coll( W, Y, Z ), coll( skol8( X, Y, Z, T ), X, Y )
% 18.56/18.94 }.
% 18.56/18.94 (63468) {G0,W19,D3,L3,V7,M3} { ! cong( T, Z, T, U ), ! perp( X, Y, Y, T )
% 18.56/18.94 , cong( T, Z, T, skol9( W, V0, Z, T ) ) }.
% 18.56/18.94 (63469) {G0,W19,D3,L3,V6,M3} { ! cong( T, Z, T, U ), ! perp( X, Y, Y, T )
% 18.56/18.94 , cong( Y, Z, Y, skol9( W, Y, Z, T ) ) }.
% 18.56/18.94 (63470) {G0,W19,D3,L3,V5,M3} { ! cong( T, Z, T, U ), ! perp( X, Y, Y, T )
% 18.56/18.94 , para( skol9( X, Y, Z, T ), Z, X, Y ) }.
% 18.56/18.94 (63471) {G0,W17,D3,L3,V5,M3} { ! perp( X, T, Y, Z ), ! perp( Y, T, X, Z )
% 18.56/18.94 , coll( skol10( U, Y, Z ), Z, Y ) }.
% 18.56/18.94 (63472) {G0,W18,D3,L3,V4,M3} { ! perp( X, T, Y, Z ), ! perp( Y, T, X, Z )
% 18.56/18.94 , perp( X, skol10( X, Y, Z ), Z, Y ) }.
% 18.56/18.94 (63473) {G0,W14,D2,L3,V4,M3} { ! perp( X, T, Y, Z ), ! perp( Y, T, X, Z )
% 18.56/18.94 , alpha1( X, Y, Z ) }.
% 18.56/18.94 (63474) {G0,W11,D3,L2,V4,M2} { ! alpha1( X, Y, Z ), coll( skol11( X, T, Z
% 18.56/18.94 ), Z, X ) }.
% 18.56/18.94 (63475) {G0,W12,D3,L2,V3,M2} { ! alpha1( X, Y, Z ), perp( Y, skol11( X, Y
% 18.56/18.94 , Z ), Z, X ) }.
% 18.56/18.94 (63476) {G0,W13,D2,L3,V4,M3} { ! coll( T, Z, X ), ! perp( Y, T, Z, X ),
% 18.56/18.94 alpha1( X, Y, Z ) }.
% 18.56/18.94 (63477) {G0,W12,D3,L2,V4,M2} { ! circle( Y, X, Z, T ), perp( skol12( X, Y
% 18.56/18.94 ), X, X, Y ) }.
% 18.56/18.94 (63478) {G0,W28,D3,L5,V8,M5} { ! circle( W, X, Y, Z ), ! cong( W, X, W, T
% 18.56/18.94 ), ! cong( U, X, U, Y ), W = U, alpha2( X, Z, U, skol13( X, V0, Z, V1, U
% 18.56/18.94 ) ) }.
% 18.56/18.94 (63479) {G0,W26,D3,L5,V8,M5} { ! circle( W, X, Y, Z ), ! cong( W, X, W, T
% 18.56/18.94 ), ! cong( U, X, U, Y ), W = U, coll( skol21( V0, Y, T, V1 ), Y, T ) }.
% 18.56/18.94 (63480) {G0,W27,D3,L5,V6,M5} { ! circle( W, X, Y, Z ), ! cong( W, X, W, T
% 18.56/18.94 ), ! cong( U, X, U, Y ), W = U, cong( skol21( X, Y, T, U ), U, U, X )
% 18.56/18.94 }.
% 18.56/18.94 (63481) {G0,W9,D2,L2,V4,M2} { ! alpha2( X, Y, Z, T ), coll( T, X, Y ) }.
% 18.56/18.94 (63482) {G0,W10,D2,L2,V4,M2} { ! alpha2( X, Y, Z, T ), cong( T, Z, Z, X )
% 18.56/18.94 }.
% 18.56/18.94 (63483) {G0,W14,D2,L3,V4,M3} { ! coll( T, X, Y ), ! cong( T, Z, Z, X ),
% 18.56/18.94 alpha2( X, Y, Z, T ) }.
% 18.56/18.94 (63484) {G0,W22,D3,L4,V5,M4} { ! cyclic( X, Y, Z, T ), ! para( X, Y, Z, T
% 18.56/18.94 ), ! midp( U, X, Y ), circle( skol14( X, Y, Z ), X, Y, Z ) }.
% 18.56/18.94 (63485) {G0,W18,D3,L3,V4,M3} { ! perp( X, Z, Z, Y ), ! cyclic( X, Y, Z, T
% 18.56/18.94 ), circle( skol15( X, Y, Z ), X, Y, Z ) }.
% 18.56/18.94 (63486) {G0,W16,D3,L3,V6,M3} { ! perp( X, U, U, T ), ! coll( T, Y, Z ),
% 18.56/18.94 coll( skol16( W, Y, Z ), Y, Z ) }.
% 18.56/18.94 (63487) {G0,W17,D3,L3,V5,M3} { ! perp( X, U, U, T ), ! coll( T, Y, Z ),
% 18.56/18.94 perp( skol16( X, Y, Z ), X, Y, Z ) }.
% 18.56/18.94 (63488) {G0,W20,D3,L4,V5,M4} { ! perp( X, Z, X, Y ), ! perp( Y, X, Y, T )
% 18.56/18.94 , ! midp( U, Z, T ), midp( skol17( X, Y ), X, Y ) }.
% 18.56/18.94 (63489) {G0,W16,D3,L3,V3,M3} { ! cong( Y, X, Y, Z ), ! perp( X, Y, Y, Z )
% 18.56/18.94 , coll( X, Y, skol18( X, Y ) ) }.
% 18.56/18.94 (63490) {G0,W17,D3,L3,V3,M3} { ! cong( Y, X, Y, Z ), ! perp( X, Y, Y, Z )
% 18.56/18.94 , cong( Y, X, Y, skol18( X, Y ) ) }.
% 18.56/18.94 (63491) {G0,W25,D3,L5,V8,M5} { ! para( U, W, X, Y ), ! coll( Z, U, X ), !
% 18.56/18.94 coll( Z, W, Y ), ! coll( T, U, W ), coll( Z, T, skol19( V0, V1, Z, T ) )
% 18.56/18.94 }.
% 18.56/18.94 (63492) {G0,W25,D3,L5,V6,M5} { ! para( U, W, X, Y ), ! coll( Z, U, X ), !
% 18.56/18.94 coll( Z, W, Y ), ! coll( T, U, W ), coll( skol19( X, Y, Z, T ), X, Y )
% 18.56/18.94 }.
% 18.56/18.94 (63493) {G0,W5,D2,L1,V0,M1} { circle( skol30, skol27, skol28, skol29 ) }.
% 18.56/18.94 (63494) {G0,W5,D2,L1,V0,M1} { circle( skol30, skol27, skol31, skol32 ) }.
% 18.56/18.94 (63495) {G0,W5,D2,L1,V0,M1} { circle( skol30, skol27, skol33, skol34 ) }.
% 18.56/18.94 (63496) {G0,W5,D2,L1,V0,M1} { perp( skol20, skol33, skol27, skol31 ) }.
% 18.56/18.94 (63497) {G0,W4,D2,L1,V0,M1} { coll( skol20, skol27, skol31 ) }.
% 18.56/18.94 (63498) {G0,W5,D2,L1,V0,M1} { circle( skol30, skol27, skol35, skol36 ) }.
% 18.56/18.94 (63499) {G0,W5,D2,L1,V0,M1} { perp( skol22, skol35, skol27, skol31 ) }.
% 18.56/18.94 (63500) {G0,W4,D2,L1,V0,M1} { coll( skol22, skol27, skol31 ) }.
% 18.56/18.94 (63501) {G0,W5,D2,L1,V0,M1} { perp( skol23, skol35, skol27, skol29 ) }.
% 18.56/18.94 (63502) {G0,W4,D2,L1,V0,M1} { coll( skol23, skol27, skol29 ) }.
% 18.56/18.94 (63503) {G0,W5,D2,L1,V0,M1} { perp( skol24, skol33, skol27, skol29 ) }.
% 18.56/18.94 (63504) {G0,W4,D2,L1,V0,M1} { coll( skol24, skol27, skol29 ) }.
% 18.56/18.94 (63505) {G0,W5,D2,L1,V0,M1} { perp( skol25, skol33, skol27, skol28 ) }.
% 18.56/18.94 (63506) {G0,W4,D2,L1,V0,M1} { coll( skol25, skol27, skol28 ) }.
% 18.56/18.94 (63507) {G0,W5,D2,L1,V0,M1} { perp( skol26, skol35, skol27, skol28 ) }.
% 18.56/18.94 (63508) {G0,W4,D2,L1,V0,M1} { coll( skol26, skol27, skol28 ) }.
% 18.56/18.94 (63509) {G0,W9,D2,L1,V0,M1} { ! eqangle( skol20, skol25, skol25, skol24,
% 18.56/18.94 skol22, skol26, skol26, skol23 ) }.
% 18.56/18.94
% 18.56/18.94
% 18.56/18.94 Total Proof:
% 18.56/18.94
% 18.56/18.94 subsumption: (0) {G0,W8,D2,L2,V3,M2} I { ! coll( X, Y, Z ), coll( X, Z, Y )
% 18.56/18.94 }.
% 18.56/18.94 parent0: (63376) {G0,W8,D2,L2,V3,M2} { ! coll( X, Y, Z ), coll( X, Z, Y )
% 18.56/18.94 }.
% 18.56/18.94 substitution0:
% 18.56/18.94 X := X
% 18.56/18.94 Y := Y
% 18.56/18.94 Z := Z
% 18.56/18.94 end
% 18.56/18.94 permutation0:
% 18.56/18.94 0 ==> 0
% 18.56/18.94 1 ==> 1
% 18.56/18.94 end
% 18.56/18.94
% 18.56/18.94 subsumption: (1) {G0,W8,D2,L2,V3,M2} I { ! coll( X, Y, Z ), coll( Y, X, Z )
% 18.56/18.94 }.
% 18.56/18.94 parent0: (63377) {G0,W8,D2,L2,V3,M2} { ! coll( X, Y, Z ), coll( Y, X, Z )
% 18.56/18.94 }.
% 18.56/18.94 substitution0:
% 18.56/18.94 X := X
% 18.56/18.94 Y := Y
% 18.56/18.94 Z := Z
% 18.56/18.94 end
% 18.56/18.94 permutation0:
% 18.56/18.94 0 ==> 0
% 18.56/18.94 1 ==> 1
% 18.56/18.94 end
% 18.56/18.94
% 18.56/18.94 subsumption: (2) {G0,W12,D2,L3,V4,M3} I { ! coll( X, T, Y ), ! coll( X, T,
% 18.56/18.94 Z ), coll( Y, Z, X ) }.
% 18.56/18.94 parent0: (63378) {G0,W12,D2,L3,V4,M3} { ! coll( X, T, Y ), ! coll( X, T, Z
% 18.56/18.94 ), coll( Y, Z, X ) }.
% 18.56/18.94 substitution0:
% 18.56/18.94 X := X
% 18.56/18.94 Y := Y
% 18.56/18.94 Z := Z
% 18.56/18.94 T := T
% 18.56/18.94 end
% 18.56/18.94 permutation0:
% 18.56/18.94 0 ==> 0
% 18.56/18.94 1 ==> 1
% 18.56/18.94 2 ==> 2
% 18.56/18.94 end
% 18.56/18.94
% 18.56/18.94 subsumption: (6) {G0,W10,D2,L2,V4,M2} I { ! perp( X, Y, Z, T ), perp( X, Y
% 18.56/18.94 , T, Z ) }.
% 18.56/18.94 parent0: (63382) {G0,W10,D2,L2,V4,M2} { ! perp( X, Y, Z, T ), perp( X, Y,
% 18.56/18.94 T, Z ) }.
% 18.56/18.94 substitution0:
% 18.56/18.94 X := X
% 18.56/18.94 Y := Y
% 18.56/18.94 Z := Z
% 18.56/18.94 T := T
% 18.56/18.94 end
% 18.56/18.94 permutation0:
% 18.56/18.94 0 ==> 0
% 18.56/18.94 1 ==> 1
% 18.56/18.94 end
% 18.56/18.94
% 18.56/18.94 subsumption: (7) {G0,W10,D2,L2,V4,M2} I { ! perp( X, Y, Z, T ), perp( Z, T
% 18.56/18.94 , X, Y ) }.
% 18.56/18.94 parent0: (63383) {G0,W10,D2,L2,V4,M2} { ! perp( X, Y, Z, T ), perp( Z, T,
% 18.56/18.94 X, Y ) }.
% 18.56/18.94 substitution0:
% 18.56/18.94 X := X
% 18.56/18.94 Y := Y
% 18.56/18.94 Z := Z
% 18.56/18.94 T := T
% 18.56/18.94 end
% 18.56/18.94 permutation0:
% 18.56/18.94 0 ==> 0
% 18.56/18.94 1 ==> 1
% 18.56/18.94 end
% 18.56/18.94
% 18.56/18.94 subsumption: (8) {G0,W15,D2,L3,V6,M3} I { ! perp( X, Y, U, W ), ! perp( U,
% 18.56/18.94 W, Z, T ), para( X, Y, Z, T ) }.
% 18.56/18.94 parent0: (63384) {G0,W15,D2,L3,V6,M3} { ! perp( X, Y, U, W ), ! perp( U, W
% 18.56/18.94 , Z, T ), para( X, Y, Z, T ) }.
% 18.56/18.94 substitution0:
% 18.56/18.94 X := X
% 18.56/18.94 Y := Y
% 18.56/18.94 Z := Z
% 18.56/18.94 T := T
% 18.56/18.94 U := U
% 18.56/18.94 W := W
% 18.56/18.94 end
% 18.56/18.94 permutation0:
% 18.56/18.94 0 ==> 0
% 18.56/18.94 1 ==> 1
% 18.56/18.94 2 ==> 2
% 18.56/18.94 end
% 18.56/18.94
% 18.56/18.94 subsumption: (13) {G0,W10,D2,L2,V4,M2} I { ! cyclic( X, Y, Z, T ), cyclic(
% 18.56/18.94 X, Y, T, Z ) }.
% 18.56/18.94 parent0: (63389) {G0,W10,D2,L2,V4,M2} { ! cyclic( X, Y, Z, T ), cyclic( X
% 18.56/18.94 , Y, T, Z ) }.
% 18.56/18.94 substitution0:
% 18.56/18.94 X := X
% 18.56/18.94 Y := Y
% 18.56/18.94 Z := Z
% 18.56/18.94 T := T
% 18.56/18.94 end
% 18.56/18.94 permutation0:
% 18.56/18.94 0 ==> 0
% 18.56/18.94 1 ==> 1
% 18.56/18.94 end
% 18.56/18.94
% 18.56/18.94 subsumption: (14) {G0,W10,D2,L2,V4,M2} I { ! cyclic( X, Y, Z, T ), cyclic(
% 18.56/18.94 X, Z, Y, T ) }.
% 18.56/18.94 parent0: (63390) {G0,W10,D2,L2,V4,M2} { ! cyclic( X, Y, Z, T ), cyclic( X
% 18.56/18.94 , Z, Y, T ) }.
% 18.56/18.94 substitution0:
% 18.56/18.94 X := X
% 18.56/18.94 Y := Y
% 18.56/18.94 Z := Z
% 18.56/18.94 T := T
% 18.56/18.94 end
% 18.56/18.94 permutation0:
% 18.56/18.94 0 ==> 0
% 18.56/18.94 1 ==> 1
% 18.56/18.94 end
% 18.56/18.94
% 18.56/18.94 subsumption: (15) {G0,W10,D2,L2,V4,M2} I { ! cyclic( X, Y, Z, T ), cyclic(
% 18.56/18.94 Y, X, Z, T ) }.
% 18.56/18.94 parent0: (63391) {G0,W10,D2,L2,V4,M2} { ! cyclic( X, Y, Z, T ), cyclic( Y
% 18.56/18.94 , X, Z, T ) }.
% 18.56/18.94 substitution0:
% 18.56/18.94 X := X
% 18.56/18.94 Y := Y
% 18.56/18.94 Z := Z
% 18.56/18.94 T := T
% 18.56/18.94 end
% 18.56/18.94 permutation0:
% 18.56/18.94 0 ==> 0
% 18.56/18.94 1 ==> 1
% 18.56/18.94 end
% 18.56/18.94
% 18.56/18.94 subsumption: (16) {G0,W15,D2,L3,V5,M3} I { ! cyclic( U, X, Y, Z ), ! cyclic
% 18.56/18.94 ( U, X, Y, T ), cyclic( X, Y, Z, T ) }.
% 18.56/18.94 parent0: (63392) {G0,W15,D2,L3,V5,M3} { ! cyclic( U, X, Y, Z ), ! cyclic(
% 18.56/18.94 U, X, Y, T ), cyclic( X, Y, Z, T ) }.
% 18.56/18.94 substitution0:
% 18.56/18.94 X := X
% 18.56/18.94 Y := Y
% 18.56/18.94 Z := Z
% 18.56/18.94 T := T
% 18.56/18.94 U := U
% 18.56/18.94 end
% 18.56/18.94 permutation0:
% 18.56/18.94 0 ==> 0
% 18.56/18.94 1 ==> 1
% 18.56/18.94 2 ==> 2
% 18.56/18.94 end
% 18.56/18.94
% 18.56/18.94 subsumption: (18) {G0,W18,D2,L2,V8,M2} I { ! eqangle( X, Y, Z, T, U, W, V0
% 18.56/18.94 , V1 ), eqangle( Z, T, X, Y, V0, V1, U, W ) }.
% 18.56/18.94 parent0: (63394) {G0,W18,D2,L2,V8,M2} { ! eqangle( X, Y, Z, T, U, W, V0,
% 18.56/18.94 V1 ), eqangle( Z, T, X, Y, V0, V1, U, W ) }.
% 18.56/18.94 substitution0:
% 18.56/18.94 X := X
% 18.56/18.94 Y := Y
% 18.56/18.94 Z := Z
% 18.56/18.94 T := T
% 18.56/18.94 U := U
% 18.56/18.94 W := W
% 18.56/18.94 V0 := V0
% 18.56/18.94 V1 := V1
% 18.56/18.94 end
% 18.56/18.94 permutation0:
% 18.56/18.94 0 ==> 0
% 18.56/18.94 1 ==> 1
% 18.56/18.94 end
% 18.56/18.94
% 18.56/18.94 subsumption: (21) {G0,W27,D2,L3,V12,M3} I { ! eqangle( X, Y, Z, T, V2, V3,
% 18.56/18.94 V4, V5 ), ! eqangle( V2, V3, V4, V5, U, W, V0, V1 ), eqangle( X, Y, Z, T
% 18.56/18.94 , U, W, V0, V1 ) }.
% 18.56/18.94 parent0: (63397) {G0,W27,D2,L3,V12,M3} { ! eqangle( X, Y, Z, T, V2, V3, V4
% 18.56/18.94 , V5 ), ! eqangle( V2, V3, V4, V5, U, W, V0, V1 ), eqangle( X, Y, Z, T, U
% 18.56/18.94 , W, V0, V1 ) }.
% 18.56/18.94 substitution0:
% 18.56/18.94 X := X
% 18.56/18.94 Y := Y
% 18.56/18.94 Z := Z
% 18.56/18.94 T := T
% 18.56/18.94 U := U
% 18.56/18.94 W := W
% 18.56/18.94 V0 := V0
% 18.56/18.94 V1 := V1
% 18.56/18.94 V2 := V2
% 18.56/18.94 V3 := V3
% 18.56/18.94 V4 := V4
% 18.56/18.94 V5 := V5
% 18.56/18.94 end
% 18.56/18.94 permutation0:
% 18.56/18.94 0 ==> 0
% 18.56/18.94 1 ==> 1
% 18.56/18.94 2 ==> 2
% 18.56/18.94 end
% 18.56/18.94
% 18.56/18.94 subsumption: (23) {G0,W10,D2,L2,V4,M2} I { ! cong( X, Y, Z, T ), cong( Z, T
% 18.56/18.94 , X, Y ) }.
% 18.56/18.94 parent0: (63399) {G0,W10,D2,L2,V4,M2} { ! cong( X, Y, Z, T ), cong( Z, T,
% 18.56/18.94 X, Y ) }.
% 18.56/18.94 substitution0:
% 18.56/18.94 X := X
% 18.56/18.94 Y := Y
% 18.56/18.94 Z := Z
% 18.56/18.94 T := T
% 18.56/18.94 end
% 18.56/18.94 permutation0:
% 18.56/18.94 0 ==> 0
% 18.56/18.94 1 ==> 1
% 18.56/18.94 end
% 18.56/18.94
% 18.56/18.94 subsumption: (38) {G0,W14,D2,L2,V6,M2} I { ! eqangle( X, Y, U, W, Z, T, U,
% 18.56/18.94 W ), para( X, Y, Z, T ) }.
% 18.56/18.94 parent0: (63414) {G0,W14,D2,L2,V6,M2} { ! eqangle( X, Y, U, W, Z, T, U, W
% 18.56/18.94 ), para( X, Y, Z, T ) }.
% 18.56/18.94 substitution0:
% 18.56/18.94 X := X
% 18.56/18.94 Y := Y
% 18.56/18.94 Z := Z
% 18.56/18.94 T := T
% 18.56/18.94 U := U
% 18.56/18.94 W := W
% 18.56/18.94 end
% 18.56/18.94 permutation0:
% 18.56/18.94 0 ==> 0
% 18.56/18.94 1 ==> 1
% 18.56/18.94 end
% 18.56/18.94
% 18.56/18.94 subsumption: (39) {G0,W14,D2,L2,V6,M2} I { ! para( X, Y, Z, T ), eqangle( X
% 18.56/18.95 , Y, U, W, Z, T, U, W ) }.
% 18.56/18.95 parent0: (63415) {G0,W14,D2,L2,V6,M2} { ! para( X, Y, Z, T ), eqangle( X,
% 18.56/18.95 Y, U, W, Z, T, U, W ) }.
% 18.56/18.95 substitution0:
% 18.56/18.95 X := X
% 18.56/18.95 Y := Y
% 18.56/18.95 Z := Z
% 18.56/18.95 T := T
% 18.56/18.95 U := U
% 18.56/18.95 W := W
% 18.56/18.95 end
% 18.56/18.95 permutation0:
% 18.56/18.95 0 ==> 0
% 18.56/18.95 1 ==> 1
% 18.56/18.95 end
% 18.56/18.95
% 18.56/18.95 subsumption: (40) {G0,W14,D2,L2,V4,M2} I { ! cyclic( X, Y, Z, T ), eqangle
% 18.56/18.95 ( Z, X, Z, Y, T, X, T, Y ) }.
% 18.56/18.95 parent0: (63416) {G0,W14,D2,L2,V4,M2} { ! cyclic( X, Y, Z, T ), eqangle( Z
% 18.56/18.95 , X, Z, Y, T, X, T, Y ) }.
% 18.56/18.95 substitution0:
% 18.56/18.95 X := X
% 18.56/18.95 Y := Y
% 18.56/18.95 Z := Z
% 18.56/18.95 T := T
% 18.56/18.95 end
% 18.56/18.95 permutation0:
% 18.56/18.95 0 ==> 0
% 18.56/18.95 1 ==> 1
% 18.56/18.95 end
% 18.56/18.95
% 18.56/18.95 subsumption: (42) {G0,W18,D2,L3,V4,M3} I { ! eqangle( Z, X, Z, Y, T, X, T,
% 18.56/18.95 Y ), ! coll( Z, T, Y ), cyclic( X, Y, Z, T ) }.
% 18.56/18.95 parent0: (63418) {G0,W18,D2,L3,V4,M3} { ! eqangle( Z, X, Z, Y, T, X, T, Y
% 18.56/18.95 ), ! coll( Z, T, Y ), cyclic( X, Y, Z, T ) }.
% 18.56/18.95 substitution0:
% 18.56/18.95 X := X
% 18.56/18.95 Y := Y
% 18.56/18.95 Z := Z
% 18.56/18.95 T := T
% 18.56/18.95 end
% 18.56/18.95 permutation0:
% 18.56/18.95 0 ==> 0
% 18.56/18.95 1 ==> 1
% 18.56/18.95 2 ==> 2
% 18.56/18.95 end
% 18.56/18.95
% 18.56/18.95 subsumption: (43) {G0,W29,D2,L5,V6,M5} I { ! cyclic( X, Y, U, Z ), ! cyclic
% 18.56/18.95 ( X, Y, U, T ), ! cyclic( X, Y, U, W ), ! eqangle( U, X, U, Y, W, Z, W, T
% 18.56/18.95 ), cong( X, Y, Z, T ) }.
% 18.56/18.95 parent0: (63419) {G0,W29,D2,L5,V6,M5} { ! cyclic( X, Y, U, Z ), ! cyclic(
% 18.56/18.95 X, Y, U, T ), ! cyclic( X, Y, U, W ), ! eqangle( U, X, U, Y, W, Z, W, T )
% 18.56/18.95 , cong( X, Y, Z, T ) }.
% 18.56/18.95 substitution0:
% 18.56/18.95 X := X
% 18.56/18.95 Y := Y
% 18.56/18.95 Z := Z
% 18.56/18.95 T := T
% 18.56/18.95 U := U
% 18.56/18.95 W := W
% 18.56/18.95 end
% 18.56/18.95 permutation0:
% 18.56/18.95 0 ==> 0
% 18.56/18.95 1 ==> 1
% 18.56/18.95 2 ==> 2
% 18.56/18.95 3 ==> 3
% 18.56/18.95 4 ==> 4
% 18.56/18.95 end
% 18.56/18.95
% 18.56/18.95 subsumption: (52) {G0,W14,D2,L3,V4,M3} I { ! perp( X, Y, Y, T ), ! midp( Z
% 18.56/18.95 , X, T ), cong( X, Z, Y, Z ) }.
% 18.56/18.95 parent0: (63428) {G0,W14,D2,L3,V4,M3} { ! perp( X, Y, Y, T ), ! midp( Z, X
% 18.56/18.95 , T ), cong( X, Z, Y, Z ) }.
% 18.56/18.95 substitution0:
% 18.56/18.95 X := X
% 18.56/18.95 Y := Y
% 18.56/18.95 Z := Z
% 18.56/18.95 T := T
% 18.56/18.95 end
% 18.56/18.95 permutation0:
% 18.56/18.95 0 ==> 0
% 18.56/18.95 1 ==> 1
% 18.56/18.95 2 ==> 2
% 18.56/18.95 end
% 18.56/18.95
% 18.56/18.95 subsumption: (56) {G0,W15,D2,L3,V4,M3} I { ! cong( X, Z, Y, Z ), ! cong( X
% 18.56/18.95 , T, Y, T ), perp( X, Y, Z, T ) }.
% 18.56/18.95 parent0: (63432) {G0,W15,D2,L3,V4,M3} { ! cong( X, Z, Y, Z ), ! cong( X, T
% 18.56/18.95 , Y, T ), perp( X, Y, Z, T ) }.
% 18.56/18.95 substitution0:
% 18.56/18.95 X := X
% 18.56/18.95 Y := Y
% 18.56/18.95 Z := Z
% 18.56/18.95 T := T
% 18.56/18.95 end
% 18.56/18.95 permutation0:
% 18.56/18.95 0 ==> 0
% 18.56/18.95 1 ==> 1
% 18.56/18.95 2 ==> 2
% 18.56/18.95 end
% 18.56/18.95
% 18.56/18.95 subsumption: (57) {G0,W20,D2,L4,V4,M4} I { ! cong( X, Y, T, Y ), ! cong( X
% 18.56/18.95 , Z, T, Z ), ! cyclic( X, T, Y, Z ), perp( Y, X, X, Z ) }.
% 18.56/18.95 parent0: (63433) {G0,W20,D2,L4,V4,M4} { ! cong( X, Y, T, Y ), ! cong( X, Z
% 18.56/18.95 , T, Z ), ! cyclic( X, T, Y, Z ), perp( Y, X, X, Z ) }.
% 18.56/18.95 substitution0:
% 18.56/18.95 X := X
% 18.56/18.95 Y := Y
% 18.56/18.95 Z := Z
% 18.56/18.95 T := T
% 18.56/18.95 end
% 18.56/18.95 permutation0:
% 18.56/18.95 0 ==> 0
% 18.56/18.95 1 ==> 1
% 18.56/18.95 2 ==> 2
% 18.56/18.95 3 ==> 3
% 18.56/18.95 end
% 18.56/18.95
% 18.56/18.95 subsumption: (66) {G0,W9,D2,L2,V3,M2} I { ! para( X, Y, X, Z ), coll( X, Y
% 18.56/18.95 , Z ) }.
% 18.56/18.95 parent0: (63442) {G0,W9,D2,L2,V3,M2} { ! para( X, Y, X, Z ), coll( X, Y, Z
% 18.56/18.95 ) }.
% 18.56/18.95 substitution0:
% 18.56/18.95 X := X
% 18.56/18.95 Y := Y
% 18.56/18.95 Z := Z
% 18.56/18.95 end
% 18.56/18.95 permutation0:
% 18.56/18.95 0 ==> 0
% 18.56/18.95 1 ==> 1
% 18.56/18.95 end
% 18.56/18.95
% 18.56/18.95 subsumption: (67) {G0,W13,D2,L3,V3,M3} I { ! cong( X, Y, X, Z ), ! coll( X
% 18.56/18.95 , Y, Z ), midp( X, Y, Z ) }.
% 18.56/18.95 parent0: (63443) {G0,W13,D2,L3,V3,M3} { ! cong( X, Y, X, Z ), ! coll( X, Y
% 18.56/18.95 , Z ), midp( X, Y, Z ) }.
% 18.56/18.95 substitution0:
% 18.56/18.95 X := X
% 18.56/18.95 Y := Y
% 18.56/18.95 Z := Z
% 18.56/18.95 end
% 18.56/18.95 permutation0:
% 18.56/18.95 0 ==> 0
% 18.56/18.95 1 ==> 1
% 18.56/18.95 2 ==> 2
% 18.56/18.95 end
% 18.56/18.95
% 18.56/18.95 subsumption: (124) {G0,W5,D2,L1,V0,M1} I { perp( skol23, skol35, skol27,
% 18.56/18.95 skol29 ) }.
% 18.56/18.95 parent0: (63501) {G0,W5,D2,L1,V0,M1} { perp( skol23, skol35, skol27,
% 18.56/18.95 skol29 ) }.
% 18.56/18.95 substitution0:
% 18.56/18.95 end
% 18.56/18.95 permutation0:
% 18.56/18.95 0 ==> 0
% 18.56/18.95 end
% 18.56/18.95
% 18.56/18.95 subsumption: (125) {G0,W4,D2,L1,V0,M1} I { coll( skol23, skol27, skol29 )
% 18.56/18.95 }.
% 18.56/18.95 parent0: (63502) {G0,W4,D2,L1,V0,M1} { coll( skol23, skol27, skol29 ) }.
% 18.56/18.95 substitution0:
% 18.56/18.95 end
% 18.56/18.95 permutation0:
% 18.56/18.95 0 ==> 0
% 18.56/18.95 end
% 18.56/18.95
% 18.56/18.95 subsumption: (132) {G0,W9,D2,L1,V0,M1} I { ! eqangle( skol20, skol25,
% 18.56/18.95 skol25, skol24, skol22, skol26, skol26, skol23 ) }.
% 18.56/18.95 parent0: (63509) {G0,W9,D2,L1,V0,M1} { ! eqangle( skol20, skol25, skol25,
% 18.56/18.95 skol24, skol22, skol26, skol26, skol23 ) }.
% 18.56/18.95 substitution0:
% 18.56/18.95 end
% 18.56/18.95 permutation0:
% 18.56/18.95 0 ==> 0
% 18.56/18.95 end
% 18.56/18.95
% 18.56/18.95 resolution: (63920) {G1,W4,D2,L1,V0,M1} { coll( skol23, skol29, skol27 )
% 18.56/18.95 }.
% 18.56/18.95 parent0[0]: (0) {G0,W8,D2,L2,V3,M2} I { ! coll( X, Y, Z ), coll( X, Z, Y )
% 18.56/18.95 }.
% 18.56/18.95 parent1[0]: (125) {G0,W4,D2,L1,V0,M1} I { coll( skol23, skol27, skol29 )
% 18.56/18.95 }.
% 18.56/18.95 substitution0:
% 18.56/18.95 X := skol23
% 18.56/18.95 Y := skol27
% 18.56/18.95 Z := skol29
% 18.56/18.95 end
% 18.56/18.95 substitution1:
% 18.56/18.95 end
% 18.56/18.95
% 18.56/18.95 subsumption: (171) {G1,W4,D2,L1,V0,M1} R(0,125) { coll( skol23, skol29,
% 18.56/18.95 skol27 ) }.
% 18.56/18.95 parent0: (63920) {G1,W4,D2,L1,V0,M1} { coll( skol23, skol29, skol27 ) }.
% 18.56/18.95 substitution0:
% 18.56/18.95 end
% 18.56/18.95 permutation0:
% 18.56/18.95 0 ==> 0
% 18.56/18.95 end
% 18.56/18.95
% 18.56/18.95 resolution: (63921) {G1,W4,D2,L1,V0,M1} { coll( skol29, skol23, skol27 )
% 18.56/18.95 }.
% 18.56/18.95 parent0[0]: (1) {G0,W8,D2,L2,V3,M2} I { ! coll( X, Y, Z ), coll( Y, X, Z )
% 18.56/18.95 }.
% 18.56/18.95 parent1[0]: (171) {G1,W4,D2,L1,V0,M1} R(0,125) { coll( skol23, skol29,
% 18.56/18.95 skol27 ) }.
% 18.56/18.95 substitution0:
% 18.56/18.95 X := skol23
% 18.56/18.95 Y := skol29
% 18.56/18.95 Z := skol27
% 18.56/18.95 end
% 18.56/18.95 substitution1:
% 18.56/18.95 end
% 18.56/18.95
% 18.56/18.95 subsumption: (177) {G2,W4,D2,L1,V0,M1} R(1,171) { coll( skol29, skol23,
% 18.56/18.95 skol27 ) }.
% 18.56/18.95 parent0: (63921) {G1,W4,D2,L1,V0,M1} { coll( skol29, skol23, skol27 ) }.
% 18.56/18.95 substitution0:
% 18.56/18.95 end
% 18.56/18.95 permutation0:
% 18.56/18.95 0 ==> 0
% 18.56/18.95 end
% 18.56/18.95
% 18.56/18.95 resolution: (63925) {G1,W12,D2,L3,V4,M3} { coll( X, Z, Y ), ! coll( Z, T,
% 18.56/18.95 X ), ! coll( Z, T, Y ) }.
% 18.56/18.95 parent0[0]: (0) {G0,W8,D2,L2,V3,M2} I { ! coll( X, Y, Z ), coll( X, Z, Y )
% 18.56/18.95 }.
% 18.56/18.95 parent1[2]: (2) {G0,W12,D2,L3,V4,M3} I { ! coll( X, T, Y ), ! coll( X, T, Z
% 18.56/18.95 ), coll( Y, Z, X ) }.
% 18.56/18.95 substitution0:
% 18.56/18.95 X := X
% 18.56/18.95 Y := Y
% 18.56/18.95 Z := Z
% 18.56/18.95 end
% 18.56/18.95 substitution1:
% 18.56/18.95 X := Z
% 18.56/18.95 Y := X
% 18.56/18.95 Z := Y
% 18.56/18.95 T := T
% 18.56/18.95 end
% 18.56/18.95
% 18.56/18.95 subsumption: (211) {G1,W12,D2,L3,V4,M3} R(2,0) { ! coll( X, Y, Z ), ! coll
% 18.56/18.95 ( X, Y, T ), coll( Z, X, T ) }.
% 18.56/18.95 parent0: (63925) {G1,W12,D2,L3,V4,M3} { coll( X, Z, Y ), ! coll( Z, T, X )
% 18.56/18.95 , ! coll( Z, T, Y ) }.
% 18.56/18.95 substitution0:
% 18.56/18.95 X := Z
% 18.56/18.95 Y := T
% 18.56/18.95 Z := X
% 18.56/18.95 T := Y
% 18.56/18.95 end
% 18.56/18.95 permutation0:
% 18.56/18.95 0 ==> 2
% 18.56/18.95 1 ==> 0
% 18.56/18.95 2 ==> 1
% 18.56/18.95 end
% 18.56/18.95
% 18.56/18.95 factor: (63927) {G1,W8,D2,L2,V3,M2} { ! coll( X, Y, Z ), coll( Z, X, Z )
% 18.56/18.95 }.
% 18.56/18.95 parent0[0, 1]: (211) {G1,W12,D2,L3,V4,M3} R(2,0) { ! coll( X, Y, Z ), !
% 18.56/18.95 coll( X, Y, T ), coll( Z, X, T ) }.
% 18.56/18.95 substitution0:
% 18.56/18.95 X := X
% 18.56/18.95 Y := Y
% 18.56/18.95 Z := Z
% 18.56/18.95 T := Z
% 18.56/18.95 end
% 18.56/18.95
% 18.56/18.95 subsumption: (222) {G2,W8,D2,L2,V3,M2} F(211) { ! coll( X, Y, Z ), coll( Z
% 18.56/18.95 , X, Z ) }.
% 18.56/18.95 parent0: (63927) {G1,W8,D2,L2,V3,M2} { ! coll( X, Y, Z ), coll( Z, X, Z )
% 18.56/18.95 }.
% 18.56/18.95 substitution0:
% 18.56/18.95 X := X
% 18.56/18.95 Y := Y
% 18.56/18.95 Z := Z
% 18.56/18.95 end
% 18.56/18.95 permutation0:
% 18.56/18.95 0 ==> 0
% 18.56/18.95 1 ==> 1
% 18.56/18.95 end
% 18.56/18.95
% 18.56/18.95 resolution: (63929) {G1,W15,D2,L3,V6,M3} { ! perp( X, Y, Z, T ), para( X,
% 18.56/18.95 Y, U, W ), ! perp( U, W, Z, T ) }.
% 18.56/18.95 parent0[1]: (8) {G0,W15,D2,L3,V6,M3} I { ! perp( X, Y, U, W ), ! perp( U, W
% 18.56/18.95 , Z, T ), para( X, Y, Z, T ) }.
% 18.56/18.95 parent1[1]: (7) {G0,W10,D2,L2,V4,M2} I { ! perp( X, Y, Z, T ), perp( Z, T,
% 18.56/18.95 X, Y ) }.
% 18.56/18.95 substitution0:
% 18.56/18.95 X := X
% 18.56/18.95 Y := Y
% 18.56/18.95 Z := U
% 18.56/18.95 T := W
% 18.56/18.95 U := Z
% 18.56/18.95 W := T
% 18.56/18.95 end
% 18.56/18.95 substitution1:
% 18.56/18.95 X := U
% 18.56/18.95 Y := W
% 18.56/18.95 Z := Z
% 18.56/18.95 T := T
% 18.56/18.95 end
% 18.56/18.95
% 18.56/18.95 subsumption: (301) {G1,W15,D2,L3,V6,M3} R(8,7) { ! perp( X, Y, Z, T ), para
% 18.56/18.95 ( X, Y, U, W ), ! perp( U, W, Z, T ) }.
% 18.56/18.95 parent0: (63929) {G1,W15,D2,L3,V6,M3} { ! perp( X, Y, Z, T ), para( X, Y,
% 18.56/18.95 U, W ), ! perp( U, W, Z, T ) }.
% 18.56/18.95 substitution0:
% 18.56/18.95 X := X
% 18.56/18.95 Y := Y
% 18.56/18.95 Z := Z
% 18.56/18.95 T := T
% 18.56/18.95 U := U
% 18.56/18.95 W := W
% 18.56/18.95 end
% 18.56/18.95 permutation0:
% 18.56/18.95 0 ==> 0
% 18.56/18.95 1 ==> 1
% 18.56/18.95 2 ==> 2
% 18.56/18.95 end
% 18.56/18.95
% 18.56/18.95 factor: (63932) {G1,W10,D2,L2,V4,M2} { ! perp( X, Y, Z, T ), para( X, Y, X
% 18.56/18.95 , Y ) }.
% 18.56/18.95 parent0[0, 2]: (301) {G1,W15,D2,L3,V6,M3} R(8,7) { ! perp( X, Y, Z, T ),
% 18.56/18.95 para( X, Y, U, W ), ! perp( U, W, Z, T ) }.
% 18.56/18.95 substitution0:
% 18.56/18.95 X := X
% 18.56/18.95 Y := Y
% 18.56/18.95 Z := Z
% 18.56/18.95 T := T
% 18.56/18.95 U := X
% 18.56/18.95 W := Y
% 18.56/18.95 end
% 18.56/18.95
% 18.56/18.95 subsumption: (309) {G2,W10,D2,L2,V4,M2} F(301) { ! perp( X, Y, Z, T ), para
% 18.56/18.95 ( X, Y, X, Y ) }.
% 18.56/18.95 parent0: (63932) {G1,W10,D2,L2,V4,M2} { ! perp( X, Y, Z, T ), para( X, Y,
% 18.56/18.95 X, Y ) }.
% 18.56/18.95 substitution0:
% 18.56/18.95 X := X
% 18.56/18.95 Y := Y
% 18.56/18.95 Z := Z
% 18.56/18.95 T := T
% 18.56/18.95 end
% 18.56/18.95 permutation0:
% 18.56/18.95 0 ==> 0
% 18.56/18.95 1 ==> 1
% 18.56/18.95 end
% 18.56/18.95
% 18.56/18.95 resolution: (63933) {G1,W5,D2,L1,V0,M1} { perp( skol27, skol29, skol23,
% 18.56/18.95 skol35 ) }.
% 18.56/18.95 parent0[0]: (7) {G0,W10,D2,L2,V4,M2} I { ! perp( X, Y, Z, T ), perp( Z, T,
% 18.56/18.95 X, Y ) }.
% 18.56/18.95 parent1[0]: (124) {G0,W5,D2,L1,V0,M1} I { perp( skol23, skol35, skol27,
% 18.56/18.95 skol29 ) }.
% 18.56/18.95 substitution0:
% 18.56/18.95 X := skol23
% 18.56/18.95 Y := skol35
% 18.56/18.95 Z := skol27
% 18.56/18.95 T := skol29
% 18.56/18.95 end
% 18.56/18.95 substitution1:
% 18.56/18.95 end
% 18.56/18.95
% 18.56/18.95 subsumption: (411) {G1,W5,D2,L1,V0,M1} R(124,7) { perp( skol27, skol29,
% 18.56/18.95 skol23, skol35 ) }.
% 18.56/18.95 parent0: (63933) {G1,W5,D2,L1,V0,M1} { perp( skol27, skol29, skol23,
% 18.56/18.95 skol35 ) }.
% 18.56/18.95 substitution0:
% 18.56/18.95 end
% 18.56/18.95 permutation0:
% 18.56/18.95 0 ==> 0
% 18.56/18.95 end
% 18.56/18.95
% 18.56/18.95 resolution: (63935) {G1,W10,D2,L2,V4,M2} { cyclic( X, Y, T, Z ), ! cyclic
% 18.56/18.95 ( X, Z, Y, T ) }.
% 18.56/18.95 parent0[0]: (13) {G0,W10,D2,L2,V4,M2} I { ! cyclic( X, Y, Z, T ), cyclic( X
% 18.56/18.95 , Y, T, Z ) }.
% 18.56/18.95 parent1[1]: (14) {G0,W10,D2,L2,V4,M2} I { ! cyclic( X, Y, Z, T ), cyclic( X
% 18.56/18.95 , Z, Y, T ) }.
% 18.56/18.95 substitution0:
% 18.56/18.95 X := X
% 18.56/18.95 Y := Y
% 18.56/18.95 Z := Z
% 18.56/18.95 T := T
% 18.56/18.95 end
% 18.56/18.95 substitution1:
% 18.56/18.95 X := X
% 18.56/18.95 Y := Z
% 18.56/18.95 Z := Y
% 18.56/18.95 T := T
% 18.56/18.95 end
% 18.56/18.95
% 18.56/18.95 subsumption: (414) {G1,W10,D2,L2,V4,M2} R(14,13) { ! cyclic( X, Y, Z, T ),
% 18.56/18.95 cyclic( X, Z, T, Y ) }.
% 18.56/18.95 parent0: (63935) {G1,W10,D2,L2,V4,M2} { cyclic( X, Y, T, Z ), ! cyclic( X
% 18.56/18.95 , Z, Y, T ) }.
% 18.56/18.95 substitution0:
% 18.56/18.95 X := X
% 18.56/18.95 Y := Z
% 18.56/18.95 Z := Y
% 18.56/18.95 T := T
% 18.56/18.95 end
% 18.56/18.95 permutation0:
% 18.56/18.95 0 ==> 1
% 18.56/18.95 1 ==> 0
% 18.56/18.95 end
% 18.56/18.95
% 18.56/18.95 resolution: (63936) {G1,W5,D2,L1,V0,M1} { perp( skol27, skol29, skol35,
% 18.56/18.95 skol23 ) }.
% 18.56/18.95 parent0[0]: (6) {G0,W10,D2,L2,V4,M2} I { ! perp( X, Y, Z, T ), perp( X, Y,
% 18.56/18.95 T, Z ) }.
% 18.56/18.95 parent1[0]: (411) {G1,W5,D2,L1,V0,M1} R(124,7) { perp( skol27, skol29,
% 18.56/18.95 skol23, skol35 ) }.
% 18.56/18.95 substitution0:
% 18.56/18.95 X := skol27
% 18.56/18.95 Y := skol29
% 18.56/18.95 Z := skol23
% 18.56/18.95 T := skol35
% 18.56/18.95 end
% 18.56/18.95 substitution1:
% 18.56/18.95 end
% 18.56/18.95
% 18.56/18.95 subsumption: (418) {G2,W5,D2,L1,V0,M1} R(411,6) { perp( skol27, skol29,
% 18.56/18.95 skol35, skol23 ) }.
% 18.56/18.95 parent0: (63936) {G1,W5,D2,L1,V0,M1} { perp( skol27, skol29, skol35,
% 18.56/18.95 skol23 ) }.
% 18.56/18.95 substitution0:
% 18.56/18.95 end
% 18.56/18.95 permutation0:
% 18.56/18.95 0 ==> 0
% 18.56/18.95 end
% 18.56/18.95
% 18.56/18.95 resolution: (63937) {G1,W10,D2,L2,V4,M2} { cyclic( Y, X, Z, T ), ! cyclic
% 18.56/18.95 ( X, Z, Y, T ) }.
% 18.56/18.95 parent0[0]: (15) {G0,W10,D2,L2,V4,M2} I { ! cyclic( X, Y, Z, T ), cyclic( Y
% 18.56/18.95 , X, Z, T ) }.
% 18.56/18.95 parent1[1]: (14) {G0,W10,D2,L2,V4,M2} I { ! cyclic( X, Y, Z, T ), cyclic( X
% 18.56/18.95 , Z, Y, T ) }.
% 18.56/18.95 substitution0:
% 18.56/18.95 X := X
% 18.56/18.95 Y := Y
% 18.56/18.95 Z := Z
% 18.56/18.95 T := T
% 18.56/18.95 end
% 18.56/18.95 substitution1:
% 18.56/18.95 X := X
% 18.56/18.95 Y := Z
% 18.56/18.95 Z := Y
% 18.56/18.95 T := T
% 18.56/18.95 end
% 18.56/18.95
% 18.56/18.95 subsumption: (431) {G1,W10,D2,L2,V4,M2} R(15,14) { cyclic( X, Y, Z, T ), !
% 18.56/18.95 cyclic( Y, Z, X, T ) }.
% 18.56/18.95 parent0: (63937) {G1,W10,D2,L2,V4,M2} { cyclic( Y, X, Z, T ), ! cyclic( X
% 18.56/18.95 , Z, Y, T ) }.
% 18.56/18.95 substitution0:
% 18.56/18.95 X := Y
% 18.56/18.95 Y := X
% 18.56/18.95 Z := Z
% 18.56/18.95 T := T
% 18.56/18.95 end
% 18.56/18.95 permutation0:
% 18.56/18.95 0 ==> 0
% 18.56/18.95 1 ==> 1
% 18.56/18.95 end
% 18.56/18.95
% 18.56/18.95 resolution: (63938) {G1,W10,D2,L2,V4,M2} { cyclic( Y, X, Z, T ), ! cyclic
% 18.56/18.95 ( X, Y, T, Z ) }.
% 18.56/18.95 parent0[0]: (15) {G0,W10,D2,L2,V4,M2} I { ! cyclic( X, Y, Z, T ), cyclic( Y
% 18.56/18.95 , X, Z, T ) }.
% 18.56/18.95 parent1[1]: (13) {G0,W10,D2,L2,V4,M2} I { ! cyclic( X, Y, Z, T ), cyclic( X
% 18.56/18.95 , Y, T, Z ) }.
% 18.56/18.95 substitution0:
% 18.56/18.95 X := X
% 18.56/18.95 Y := Y
% 18.56/18.95 Z := Z
% 18.56/18.95 T := T
% 18.56/18.95 end
% 18.56/18.95 substitution1:
% 18.56/18.95 X := X
% 18.56/18.95 Y := Y
% 18.56/18.95 Z := T
% 18.56/18.95 T := Z
% 18.56/18.95 end
% 18.56/18.95
% 18.56/18.95 subsumption: (433) {G1,W10,D2,L2,V4,M2} R(15,13) { cyclic( X, Y, Z, T ), !
% 18.56/18.95 cyclic( Y, X, T, Z ) }.
% 18.56/18.95 parent0: (63938) {G1,W10,D2,L2,V4,M2} { cyclic( Y, X, Z, T ), ! cyclic( X
% 18.56/18.95 , Y, T, Z ) }.
% 18.56/18.95 substitution0:
% 18.56/18.95 X := Y
% 18.56/18.95 Y := X
% 18.56/18.95 Z := Z
% 18.56/18.95 T := T
% 18.56/18.95 end
% 18.56/18.95 permutation0:
% 18.56/18.95 0 ==> 0
% 18.56/18.95 1 ==> 1
% 18.56/18.95 end
% 18.56/18.95
% 18.56/18.95 resolution: (63942) {G1,W15,D2,L3,V5,M3} { cyclic( Y, X, Z, T ), ! cyclic
% 18.56/18.95 ( U, X, Y, Z ), ! cyclic( U, X, Y, T ) }.
% 18.56/18.95 parent0[0]: (15) {G0,W10,D2,L2,V4,M2} I { ! cyclic( X, Y, Z, T ), cyclic( Y
% 18.56/18.95 , X, Z, T ) }.
% 18.56/18.95 parent1[2]: (16) {G0,W15,D2,L3,V5,M3} I { ! cyclic( U, X, Y, Z ), ! cyclic
% 18.56/18.95 ( U, X, Y, T ), cyclic( X, Y, Z, T ) }.
% 18.56/18.95 substitution0:
% 18.56/18.95 X := X
% 18.56/18.95 Y := Y
% 18.56/18.95 Z := Z
% 18.56/18.95 T := T
% 18.56/18.95 end
% 18.56/18.95 substitution1:
% 18.56/18.95 X := X
% 18.56/18.95 Y := Y
% 18.56/18.95 Z := Z
% 18.56/18.95 T := T
% 18.56/18.95 U := U
% 18.56/18.95 end
% 18.56/18.95
% 18.56/18.95 subsumption: (458) {G1,W15,D2,L3,V5,M3} R(16,15) { ! cyclic( X, Y, Z, T ),
% 18.56/18.95 ! cyclic( X, Y, Z, U ), cyclic( Z, Y, T, U ) }.
% 18.56/18.95 parent0: (63942) {G1,W15,D2,L3,V5,M3} { cyclic( Y, X, Z, T ), ! cyclic( U
% 18.56/18.95 , X, Y, Z ), ! cyclic( U, X, Y, T ) }.
% 18.56/18.95 substitution0:
% 18.56/18.95 X := Y
% 18.56/18.95 Y := Z
% 18.56/18.95 Z := T
% 18.56/18.95 T := U
% 18.56/18.95 U := X
% 18.56/18.95 end
% 18.56/18.95 permutation0:
% 18.56/18.95 0 ==> 2
% 18.56/18.95 1 ==> 0
% 18.56/18.95 2 ==> 1
% 18.56/18.95 end
% 18.56/18.95
% 18.56/18.95 resolution: (63945) {G1,W15,D2,L3,V5,M3} { ! cyclic( X, Y, Z, T ), cyclic
% 18.56/18.95 ( Y, Z, T, U ), ! cyclic( X, Y, U, Z ) }.
% 18.56/18.95 parent0[1]: (16) {G0,W15,D2,L3,V5,M3} I { ! cyclic( U, X, Y, Z ), ! cyclic
% 18.56/18.95 ( U, X, Y, T ), cyclic( X, Y, Z, T ) }.
% 18.56/18.95 parent1[1]: (13) {G0,W10,D2,L2,V4,M2} I { ! cyclic( X, Y, Z, T ), cyclic( X
% 18.56/18.95 , Y, T, Z ) }.
% 18.56/18.95 substitution0:
% 18.56/18.95 X := Y
% 18.56/18.95 Y := Z
% 18.56/18.95 Z := T
% 18.56/18.95 T := U
% 18.56/18.95 U := X
% 18.56/18.95 end
% 18.56/18.95 substitution1:
% 18.56/18.95 X := X
% 18.56/18.95 Y := Y
% 18.56/18.95 Z := U
% 18.56/18.95 T := Z
% 18.56/18.95 end
% 18.56/18.95
% 18.56/18.95 subsumption: (463) {G1,W15,D2,L3,V5,M3} R(16,13) { ! cyclic( X, Y, Z, T ),
% 18.56/18.95 cyclic( Y, Z, T, U ), ! cyclic( X, Y, U, Z ) }.
% 18.56/18.95 parent0: (63945) {G1,W15,D2,L3,V5,M3} { ! cyclic( X, Y, Z, T ), cyclic( Y
% 18.56/18.95 , Z, T, U ), ! cyclic( X, Y, U, Z ) }.
% 18.56/18.95 substitution0:
% 18.56/18.95 X := X
% 18.56/18.95 Y := Y
% 18.56/18.95 Z := Z
% 18.56/18.95 T := T
% 18.56/18.95 U := U
% 18.56/18.95 end
% 18.56/18.95 permutation0:
% 18.56/18.95 0 ==> 0
% 18.56/18.95 1 ==> 1
% 18.56/18.95 2 ==> 2
% 18.56/18.95 end
% 18.56/18.95
% 18.56/18.95 factor: (63947) {G1,W10,D2,L2,V4,M2} { ! cyclic( X, Y, Z, T ), cyclic( Z,
% 18.56/18.95 Y, T, T ) }.
% 18.56/18.95 parent0[0, 1]: (458) {G1,W15,D2,L3,V5,M3} R(16,15) { ! cyclic( X, Y, Z, T )
% 18.56/18.95 , ! cyclic( X, Y, Z, U ), cyclic( Z, Y, T, U ) }.
% 18.56/18.95 substitution0:
% 18.56/18.95 X := X
% 18.56/18.95 Y := Y
% 18.56/18.95 Z := Z
% 18.56/18.95 T := T
% 18.56/18.95 U := T
% 18.56/18.95 end
% 18.56/18.95
% 18.56/18.95 subsumption: (467) {G2,W10,D2,L2,V4,M2} F(458) { ! cyclic( X, Y, Z, T ),
% 18.56/18.95 cyclic( Z, Y, T, T ) }.
% 18.56/18.95 parent0: (63947) {G1,W10,D2,L2,V4,M2} { ! cyclic( X, Y, Z, T ), cyclic( Z
% 18.56/18.95 , Y, T, T ) }.
% 18.56/18.95 substitution0:
% 18.56/18.95 X := X
% 18.56/18.95 Y := Y
% 18.56/18.95 Z := Z
% 18.56/18.95 T := T
% 18.56/18.95 end
% 18.56/18.95 permutation0:
% 18.56/18.95 0 ==> 0
% 18.56/18.95 1 ==> 1
% 18.56/18.95 end
% 18.56/18.95
% 18.56/18.95 resolution: (63948) {G3,W4,D2,L1,V0,M1} { coll( skol27, skol29, skol27 )
% 18.56/18.95 }.
% 18.56/18.95 parent0[0]: (222) {G2,W8,D2,L2,V3,M2} F(211) { ! coll( X, Y, Z ), coll( Z,
% 18.56/18.95 X, Z ) }.
% 18.56/18.95 parent1[0]: (177) {G2,W4,D2,L1,V0,M1} R(1,171) { coll( skol29, skol23,
% 18.56/18.95 skol27 ) }.
% 18.56/18.95 substitution0:
% 18.56/18.95 X := skol29
% 18.56/18.95 Y := skol23
% 18.56/18.95 Z := skol27
% 18.56/18.95 end
% 18.56/18.95 substitution1:
% 18.56/18.95 end
% 18.56/18.95
% 18.56/18.95 subsumption: (552) {G3,W4,D2,L1,V0,M1} R(222,177) { coll( skol27, skol29,
% 18.56/18.95 skol27 ) }.
% 18.56/18.95 parent0: (63948) {G3,W4,D2,L1,V0,M1} { coll( skol27, skol29, skol27 ) }.
% 18.56/18.95 substitution0:
% 18.56/18.95 end
% 18.56/18.95 permutation0:
% 18.56/18.95 0 ==> 0
% 18.56/18.95 end
% 18.56/18.95
% 18.56/18.95 resolution: (63949) {G1,W4,D2,L1,V0,M1} { coll( skol27, skol27, skol29 )
% 18.56/18.95 }.
% 18.56/18.95 parent0[0]: (0) {G0,W8,D2,L2,V3,M2} I { ! coll( X, Y, Z ), coll( X, Z, Y )
% 18.56/18.95 }.
% 18.56/18.95 parent1[0]: (552) {G3,W4,D2,L1,V0,M1} R(222,177) { coll( skol27, skol29,
% 18.56/18.95 skol27 ) }.
% 18.56/18.95 substitution0:
% 18.56/18.95 X := skol27
% 18.56/18.95 Y := skol29
% 18.56/18.95 Z := skol27
% 18.56/18.95 end
% 18.56/18.95 substitution1:
% 18.56/18.95 end
% 18.56/18.95
% 18.56/18.95 subsumption: (765) {G4,W4,D2,L1,V0,M1} R(552,0) { coll( skol27, skol27,
% 18.56/18.95 skol29 ) }.
% 18.56/18.95 parent0: (63949) {G1,W4,D2,L1,V0,M1} { coll( skol27, skol27, skol29 ) }.
% 18.56/18.95 substitution0:
% 18.56/18.95 end
% 18.56/18.95 permutation0:
% 18.56/18.95 0 ==> 0
% 18.56/18.95 end
% 18.56/18.95
% 18.56/18.95 resolution: (63951) {G1,W23,D2,L3,V10,M3} { ! eqangle( X, Y, Z, T, U, W,
% 18.56/18.95 V0, V1 ), eqangle( X, Y, Z, T, V2, V3, V0, V1 ), ! para( U, W, V2, V3 )
% 18.56/18.95 }.
% 18.56/18.95 parent0[1]: (21) {G0,W27,D2,L3,V12,M3} I { ! eqangle( X, Y, Z, T, V2, V3,
% 18.56/18.95 V4, V5 ), ! eqangle( V2, V3, V4, V5, U, W, V0, V1 ), eqangle( X, Y, Z, T
% 18.56/18.95 , U, W, V0, V1 ) }.
% 18.56/18.95 parent1[1]: (39) {G0,W14,D2,L2,V6,M2} I { ! para( X, Y, Z, T ), eqangle( X
% 18.56/18.95 , Y, U, W, Z, T, U, W ) }.
% 18.56/18.95 substitution0:
% 18.56/18.95 X := X
% 18.56/18.95 Y := Y
% 18.56/18.95 Z := Z
% 18.56/18.95 T := T
% 18.56/18.95 U := V2
% 18.56/18.95 W := V3
% 18.56/18.95 V0 := V0
% 18.56/18.95 V1 := V1
% 18.56/18.95 V2 := U
% 18.56/18.95 V3 := W
% 18.56/18.95 V4 := V0
% 18.56/18.95 V5 := V1
% 18.56/18.95 end
% 18.56/18.95 substitution1:
% 18.56/18.95 X := U
% 18.56/18.95 Y := W
% 18.56/18.95 Z := V2
% 18.56/18.95 T := V3
% 18.56/18.95 U := V0
% 18.56/18.95 W := V1
% 18.56/18.95 end
% 18.56/18.95
% 18.56/18.95 subsumption: (822) {G1,W23,D2,L3,V10,M3} R(39,21) { ! para( X, Y, Z, T ), !
% 18.56/18.95 eqangle( U, W, V0, V1, X, Y, V2, V3 ), eqangle( U, W, V0, V1, Z, T, V2,
% 18.56/18.95 V3 ) }.
% 18.56/18.95 parent0: (63951) {G1,W23,D2,L3,V10,M3} { ! eqangle( X, Y, Z, T, U, W, V0,
% 18.56/18.95 V1 ), eqangle( X, Y, Z, T, V2, V3, V0, V1 ), ! para( U, W, V2, V3 ) }.
% 18.56/18.95 substitution0:
% 18.56/18.95 X := U
% 18.56/18.95 Y := W
% 18.56/18.95 Z := V0
% 18.56/18.95 T := V1
% 18.56/18.95 U := X
% 18.56/18.95 W := Y
% 18.56/18.95 V0 := V2
% 18.56/18.95 V1 := V3
% 18.56/18.95 V2 := Z
% 18.56/18.95 V3 := T
% 18.56/18.95 end
% 18.56/18.95 permutation0:
% 18.56/18.95 0 ==> 1
% 18.56/18.95 1 ==> 2
% 18.56/18.95 2 ==> 0
% 18.56/18.95 end
% 18.56/18.95
% 18.56/18.95 resolution: (63952) {G1,W14,D2,L2,V6,M2} { eqangle( Z, T, X, Y, Z, T, U, W
% 18.56/18.95 ), ! para( X, Y, U, W ) }.
% 18.56/18.95 parent0[0]: (18) {G0,W18,D2,L2,V8,M2} I { ! eqangle( X, Y, Z, T, U, W, V0,
% 18.56/18.95 V1 ), eqangle( Z, T, X, Y, V0, V1, U, W ) }.
% 18.56/18.95 parent1[1]: (39) {G0,W14,D2,L2,V6,M2} I { ! para( X, Y, Z, T ), eqangle( X
% 18.56/18.95 , Y, U, W, Z, T, U, W ) }.
% 18.56/18.95 substitution0:
% 18.56/18.95 X := X
% 18.56/18.95 Y := Y
% 18.56/18.95 Z := Z
% 18.56/18.95 T := T
% 18.56/18.95 U := U
% 18.56/18.95 W := W
% 18.56/18.95 V0 := Z
% 18.56/18.95 V1 := T
% 18.56/18.95 end
% 18.56/18.95 substitution1:
% 18.56/18.95 X := X
% 18.56/18.95 Y := Y
% 18.56/18.95 Z := U
% 18.56/18.95 T := W
% 18.56/18.95 U := Z
% 18.56/18.95 W := T
% 18.56/18.95 end
% 18.56/18.95
% 18.56/18.95 subsumption: (825) {G1,W14,D2,L2,V6,M2} R(39,18) { ! para( X, Y, Z, T ),
% 18.56/18.95 eqangle( U, W, X, Y, U, W, Z, T ) }.
% 18.56/18.95 parent0: (63952) {G1,W14,D2,L2,V6,M2} { eqangle( Z, T, X, Y, Z, T, U, W )
% 18.56/18.95 , ! para( X, Y, U, W ) }.
% 18.56/18.95 substitution0:
% 18.56/18.95 X := X
% 18.56/18.95 Y := Y
% 18.56/18.95 Z := U
% 18.56/18.95 T := W
% 18.56/18.95 U := Z
% 18.56/18.95 W := T
% 18.56/18.95 end
% 18.56/18.95 permutation0:
% 18.56/18.95 0 ==> 1
% 18.56/18.95 1 ==> 0
% 18.56/18.95 end
% 18.56/18.95
% 18.56/18.95 resolution: (63953) {G1,W10,D2,L2,V3,M2} { para( X, Y, X, Y ), ! cyclic( Y
% 18.56/18.95 , Z, X, X ) }.
% 18.56/18.95 parent0[0]: (38) {G0,W14,D2,L2,V6,M2} I { ! eqangle( X, Y, U, W, Z, T, U, W
% 18.56/18.95 ), para( X, Y, Z, T ) }.
% 18.56/18.95 parent1[1]: (40) {G0,W14,D2,L2,V4,M2} I { ! cyclic( X, Y, Z, T ), eqangle(
% 18.56/18.95 Z, X, Z, Y, T, X, T, Y ) }.
% 18.56/18.95 substitution0:
% 18.56/18.95 X := X
% 18.56/18.95 Y := Y
% 18.56/18.95 Z := X
% 18.56/18.95 T := Y
% 18.56/18.95 U := X
% 18.56/18.95 W := Z
% 18.56/18.95 end
% 18.56/18.95 substitution1:
% 18.56/18.95 X := Y
% 18.56/18.95 Y := Z
% 18.56/18.95 Z := X
% 18.56/18.95 T := X
% 18.56/18.95 end
% 18.56/18.95
% 18.56/18.95 subsumption: (839) {G1,W10,D2,L2,V3,M2} R(40,38) { ! cyclic( X, Y, Z, Z ),
% 18.56/18.95 para( Z, X, Z, X ) }.
% 18.56/18.95 parent0: (63953) {G1,W10,D2,L2,V3,M2} { para( X, Y, X, Y ), ! cyclic( Y, Z
% 18.56/18.95 , X, X ) }.
% 18.56/18.95 substitution0:
% 18.56/18.95 X := Z
% 18.56/18.95 Y := X
% 18.56/18.95 Z := Y
% 18.56/18.95 end
% 18.56/18.95 permutation0:
% 18.56/18.95 0 ==> 1
% 18.56/18.95 1 ==> 0
% 18.56/18.95 end
% 18.56/18.95
% 18.56/18.95 resolution: (63954) {G1,W14,D2,L2,V1,M2} { ! eqangle( skol27, X, skol27,
% 18.56/18.95 skol29, skol27, X, skol27, skol29 ), cyclic( X, skol29, skol27, skol27 )
% 18.56/18.95 }.
% 18.56/18.95 parent0[1]: (42) {G0,W18,D2,L3,V4,M3} I { ! eqangle( Z, X, Z, Y, T, X, T, Y
% 18.56/18.95 ), ! coll( Z, T, Y ), cyclic( X, Y, Z, T ) }.
% 18.56/18.95 parent1[0]: (765) {G4,W4,D2,L1,V0,M1} R(552,0) { coll( skol27, skol27,
% 18.56/18.95 skol29 ) }.
% 18.56/18.95 substitution0:
% 18.56/18.95 X := X
% 18.56/18.95 Y := skol29
% 18.56/18.95 Z := skol27
% 18.56/18.95 T := skol27
% 18.56/18.95 end
% 18.56/18.95 substitution1:
% 18.56/18.95 end
% 18.56/18.95
% 18.56/18.95 subsumption: (908) {G5,W14,D2,L2,V1,M2} R(42,765) { ! eqangle( skol27, X,
% 18.56/18.95 skol27, skol29, skol27, X, skol27, skol29 ), cyclic( X, skol29, skol27,
% 18.56/18.95 skol27 ) }.
% 18.56/18.95 parent0: (63954) {G1,W14,D2,L2,V1,M2} { ! eqangle( skol27, X, skol27,
% 18.56/18.95 skol29, skol27, X, skol27, skol29 ), cyclic( X, skol29, skol27, skol27 )
% 18.56/18.95 }.
% 18.56/18.95 substitution0:
% 18.56/18.95 X := X
% 18.56/18.95 end
% 18.56/18.95 permutation0:
% 18.56/18.95 0 ==> 0
% 18.56/18.95 1 ==> 1
% 18.56/18.95 end
% 18.56/18.95
% 18.56/18.95 resolution: (63955) {G1,W25,D2,L5,V4,M5} { ! cyclic( X, Y, Z, X ), !
% 18.56/18.95 cyclic( X, Y, Z, Y ), ! cyclic( X, Y, Z, T ), cong( X, Y, X, Y ), !
% 18.56/18.95 cyclic( X, Y, Z, T ) }.
% 18.56/18.95 parent0[3]: (43) {G0,W29,D2,L5,V6,M5} I { ! cyclic( X, Y, U, Z ), ! cyclic
% 18.56/18.95 ( X, Y, U, T ), ! cyclic( X, Y, U, W ), ! eqangle( U, X, U, Y, W, Z, W, T
% 18.56/18.95 ), cong( X, Y, Z, T ) }.
% 18.56/18.95 parent1[1]: (40) {G0,W14,D2,L2,V4,M2} I { ! cyclic( X, Y, Z, T ), eqangle(
% 18.56/18.95 Z, X, Z, Y, T, X, T, Y ) }.
% 18.56/18.95 substitution0:
% 18.56/18.95 X := X
% 18.56/18.95 Y := Y
% 18.56/18.95 Z := X
% 18.56/18.95 T := Y
% 18.56/18.95 U := Z
% 18.56/18.95 W := T
% 18.56/18.95 end
% 18.56/18.95 substitution1:
% 18.56/18.95 X := X
% 18.56/18.95 Y := Y
% 18.56/18.95 Z := Z
% 18.56/18.95 T := T
% 18.56/18.95 end
% 18.56/18.95
% 18.56/18.95 factor: (63957) {G1,W20,D2,L4,V3,M4} { ! cyclic( X, Y, Z, X ), ! cyclic( X
% 18.56/18.95 , Y, Z, Y ), cong( X, Y, X, Y ), ! cyclic( X, Y, Z, X ) }.
% 18.56/18.95 parent0[0, 2]: (63955) {G1,W25,D2,L5,V4,M5} { ! cyclic( X, Y, Z, X ), !
% 18.56/18.95 cyclic( X, Y, Z, Y ), ! cyclic( X, Y, Z, T ), cong( X, Y, X, Y ), !
% 18.56/18.95 cyclic( X, Y, Z, T ) }.
% 18.56/18.95 substitution0:
% 18.56/18.95 X := X
% 18.56/18.95 Y := Y
% 18.56/18.95 Z := Z
% 18.56/18.95 T := X
% 18.56/18.95 end
% 18.56/18.95
% 18.56/18.95 subsumption: (1035) {G1,W20,D2,L4,V4,M4} R(43,40);f { ! cyclic( X, Y, Z, X
% 18.56/18.95 ), ! cyclic( X, Y, Z, Y ), ! cyclic( X, Y, Z, T ), cong( X, Y, X, Y )
% 18.56/18.95 }.
% 18.56/18.95 parent0: (63957) {G1,W20,D2,L4,V3,M4} { ! cyclic( X, Y, Z, X ), ! cyclic(
% 18.56/18.95 X, Y, Z, Y ), cong( X, Y, X, Y ), ! cyclic( X, Y, Z, X ) }.
% 18.56/18.95 substitution0:
% 18.56/18.95 X := X
% 18.56/18.95 Y := Y
% 18.56/18.95 Z := Z
% 18.56/18.95 end
% 18.56/18.95 permutation0:
% 18.56/18.95 0 ==> 0
% 18.56/18.95 1 ==> 1
% 18.56/18.95 2 ==> 3
% 18.56/18.95 3 ==> 0
% 18.56/18.95 end
% 18.56/18.95
% 18.56/18.95 factor: (63962) {G1,W15,D2,L3,V3,M3} { ! cyclic( X, Y, Z, X ), ! cyclic( X
% 18.56/18.95 , Y, Z, Y ), cong( X, Y, X, Y ) }.
% 18.56/18.95 parent0[0, 2]: (1035) {G1,W20,D2,L4,V4,M4} R(43,40);f { ! cyclic( X, Y, Z,
% 18.56/18.95 X ), ! cyclic( X, Y, Z, Y ), ! cyclic( X, Y, Z, T ), cong( X, Y, X, Y )
% 18.56/18.95 }.
% 18.56/18.95 substitution0:
% 18.56/18.95 X := X
% 18.56/18.95 Y := Y
% 18.56/18.95 Z := Z
% 18.56/18.95 T := X
% 18.56/18.95 end
% 18.56/18.95
% 18.56/18.95 subsumption: (1067) {G2,W15,D2,L3,V3,M3} F(1035) { ! cyclic( X, Y, Z, X ),
% 18.56/18.95 ! cyclic( X, Y, Z, Y ), cong( X, Y, X, Y ) }.
% 18.56/18.95 parent0: (63962) {G1,W15,D2,L3,V3,M3} { ! cyclic( X, Y, Z, X ), ! cyclic(
% 18.56/18.95 X, Y, Z, Y ), cong( X, Y, X, Y ) }.
% 18.56/18.95 substitution0:
% 18.56/18.95 X := X
% 18.56/18.95 Y := Y
% 18.56/18.95 Z := Z
% 18.56/18.95 end
% 18.56/18.95 permutation0:
% 18.56/18.95 0 ==> 0
% 18.56/18.95 1 ==> 1
% 18.56/18.95 2 ==> 2
% 18.56/18.95 end
% 18.56/18.95
% 18.56/18.95 resolution: (63965) {G1,W20,D2,L4,V4,M4} { ! cong( X, Y, Z, Y ), ! cyclic
% 18.56/18.95 ( X, Z, Y, T ), perp( Y, X, X, T ), ! cong( Z, T, X, T ) }.
% 18.56/18.95 parent0[1]: (57) {G0,W20,D2,L4,V4,M4} I { ! cong( X, Y, T, Y ), ! cong( X,
% 18.56/18.95 Z, T, Z ), ! cyclic( X, T, Y, Z ), perp( Y, X, X, Z ) }.
% 18.56/18.95 parent1[1]: (23) {G0,W10,D2,L2,V4,M2} I { ! cong( X, Y, Z, T ), cong( Z, T
% 18.56/18.95 , X, Y ) }.
% 18.56/18.95 substitution0:
% 18.56/18.95 X := X
% 18.56/18.95 Y := Y
% 18.56/18.95 Z := T
% 18.56/18.95 T := Z
% 18.56/18.95 end
% 18.56/18.95 substitution1:
% 18.56/18.95 X := Z
% 18.56/18.95 Y := T
% 18.56/18.95 Z := X
% 18.56/18.95 T := T
% 18.56/18.95 end
% 18.56/18.95
% 18.56/18.95 subsumption: (1820) {G1,W20,D2,L4,V4,M4} R(57,23) { ! cong( X, Y, Z, Y ), !
% 18.56/18.95 cyclic( X, Z, Y, T ), perp( Y, X, X, T ), ! cong( Z, T, X, T ) }.
% 18.56/18.95 parent0: (63965) {G1,W20,D2,L4,V4,M4} { ! cong( X, Y, Z, Y ), ! cyclic( X
% 18.56/18.95 , Z, Y, T ), perp( Y, X, X, T ), ! cong( Z, T, X, T ) }.
% 18.56/18.95 substitution0:
% 18.56/18.95 X := X
% 18.56/18.95 Y := Y
% 18.56/18.95 Z := Z
% 18.56/18.95 T := T
% 18.56/18.95 end
% 18.56/18.95 permutation0:
% 18.56/18.95 0 ==> 0
% 18.56/18.95 1 ==> 1
% 18.56/18.95 2 ==> 2
% 18.56/18.95 3 ==> 3
% 18.56/18.95 end
% 18.56/18.95
% 18.56/18.95 resolution: (63967) {G3,W5,D2,L1,V0,M1} { para( skol27, skol29, skol27,
% 18.56/18.95 skol29 ) }.
% 18.56/18.95 parent0[0]: (309) {G2,W10,D2,L2,V4,M2} F(301) { ! perp( X, Y, Z, T ), para
% 18.56/18.95 ( X, Y, X, Y ) }.
% 18.56/18.95 parent1[0]: (418) {G2,W5,D2,L1,V0,M1} R(411,6) { perp( skol27, skol29,
% 18.56/18.95 skol35, skol23 ) }.
% 18.56/18.95 substitution0:
% 18.56/18.95 X := skol27
% 18.56/18.95 Y := skol29
% 18.56/18.95 Z := skol35
% 18.56/18.95 T := skol23
% 18.56/18.95 end
% 18.56/18.95 substitution1:
% 18.56/18.95 end
% 18.56/18.95
% 18.56/18.95 subsumption: (20592) {G3,W5,D2,L1,V0,M1} R(309,418) { para( skol27, skol29
% 18.56/18.95 , skol27, skol29 ) }.
% 18.56/18.95 parent0: (63967) {G3,W5,D2,L1,V0,M1} { para( skol27, skol29, skol27,
% 18.56/18.95 skol29 ) }.
% 18.56/18.95 substitution0:
% 18.56/18.95 end
% 18.56/18.95 permutation0:
% 18.56/18.95 0 ==> 0
% 18.56/18.95 end
% 18.56/18.95
% 18.56/18.95 resolution: (63968) {G2,W9,D2,L1,V2,M1} { eqangle( X, Y, skol27, skol29, X
% 18.56/18.95 , Y, skol27, skol29 ) }.
% 18.56/18.95 parent0[0]: (825) {G1,W14,D2,L2,V6,M2} R(39,18) { ! para( X, Y, Z, T ),
% 18.56/18.95 eqangle( U, W, X, Y, U, W, Z, T ) }.
% 18.56/18.95 parent1[0]: (20592) {G3,W5,D2,L1,V0,M1} R(309,418) { para( skol27, skol29,
% 18.56/18.95 skol27, skol29 ) }.
% 18.56/18.95 substitution0:
% 18.56/18.95 X := skol27
% 18.56/18.95 Y := skol29
% 18.56/18.95 Z := skol27
% 18.56/18.95 T := skol29
% 18.56/18.95 U := X
% 18.56/18.95 W := Y
% 18.56/18.95 end
% 18.56/18.95 substitution1:
% 18.56/18.95 end
% 18.56/18.95
% 18.56/18.95 subsumption: (51243) {G4,W9,D2,L1,V2,M1} R(825,20592) { eqangle( X, Y,
% 18.56/18.95 skol27, skol29, X, Y, skol27, skol29 ) }.
% 18.56/18.95 parent0: (63968) {G2,W9,D2,L1,V2,M1} { eqangle( X, Y, skol27, skol29, X, Y
% 18.56/18.95 , skol27, skol29 ) }.
% 18.56/18.95 substitution0:
% 18.56/18.95 X := X
% 18.56/18.95 Y := Y
% 18.56/18.95 end
% 18.56/18.95 permutation0:
% 18.56/18.95 0 ==> 0
% 18.56/18.95 end
% 18.56/18.95
% 18.56/18.95 resolution: (63969) {G1,W9,D2,L2,V3,M2} { coll( X, Y, Y ), ! cyclic( Y, Z
% 18.56/18.95 , X, X ) }.
% 18.56/18.95 parent0[0]: (66) {G0,W9,D2,L2,V3,M2} I { ! para( X, Y, X, Z ), coll( X, Y,
% 18.56/18.95 Z ) }.
% 18.56/18.95 parent1[1]: (839) {G1,W10,D2,L2,V3,M2} R(40,38) { ! cyclic( X, Y, Z, Z ),
% 18.56/18.95 para( Z, X, Z, X ) }.
% 18.56/18.95 substitution0:
% 18.56/18.95 X := X
% 18.56/18.95 Y := Y
% 18.56/18.95 Z := Y
% 18.56/18.95 end
% 18.56/18.95 substitution1:
% 18.56/18.95 X := Y
% 18.56/18.95 Y := Z
% 18.56/18.95 Z := X
% 18.56/18.95 end
% 18.56/18.95
% 18.56/18.95 subsumption: (52236) {G2,W9,D2,L2,V3,M2} R(839,66) { ! cyclic( X, Y, Z, Z )
% 18.56/18.95 , coll( Z, X, X ) }.
% 18.56/18.95 parent0: (63969) {G1,W9,D2,L2,V3,M2} { coll( X, Y, Y ), ! cyclic( Y, Z, X
% 18.56/18.95 , X ) }.
% 18.56/18.95 substitution0:
% 18.56/18.95 X := Z
% 18.56/18.95 Y := X
% 18.56/18.95 Z := Y
% 18.56/18.95 end
% 18.56/18.95 permutation0:
% 18.56/18.95 0 ==> 1
% 18.56/18.95 1 ==> 0
% 18.56/18.95 end
% 18.56/18.95
% 18.56/18.95 resolution: (63970) {G5,W5,D2,L1,V1,M1} { cyclic( X, skol29, skol27,
% 18.56/18.95 skol27 ) }.
% 18.56/18.95 parent0[0]: (908) {G5,W14,D2,L2,V1,M2} R(42,765) { ! eqangle( skol27, X,
% 18.56/18.95 skol27, skol29, skol27, X, skol27, skol29 ), cyclic( X, skol29, skol27,
% 18.56/18.95 skol27 ) }.
% 18.56/18.95 parent1[0]: (51243) {G4,W9,D2,L1,V2,M1} R(825,20592) { eqangle( X, Y,
% 18.56/18.95 skol27, skol29, X, Y, skol27, skol29 ) }.
% 18.56/18.95 substitution0:
% 18.56/18.95 X := X
% 18.56/18.95 end
% 18.56/18.95 substitution1:
% 18.56/18.95 X := skol27
% 18.56/18.95 Y := X
% 18.56/18.95 end
% 18.56/18.95
% 18.56/18.95 subsumption: (55714) {G6,W5,D2,L1,V1,M1} S(908);r(51243) { cyclic( X,
% 18.56/18.95 skol29, skol27, skol27 ) }.
% 18.56/18.95 parent0: (63970) {G5,W5,D2,L1,V1,M1} { cyclic( X, skol29, skol27, skol27 )
% 18.56/18.95 }.
% 18.56/18.95 substitution0:
% 18.56/18.95 X := X
% 18.56/18.95 end
% 18.56/18.95 permutation0:
% 18.56/18.95 0 ==> 0
% 18.56/18.95 end
% 18.56/18.95
% 18.56/18.95 resolution: (63971) {G2,W5,D2,L1,V1,M1} { cyclic( skol29, X, skol27,
% 18.56/18.95 skol27 ) }.
% 18.56/18.95 parent0[1]: (433) {G1,W10,D2,L2,V4,M2} R(15,13) { cyclic( X, Y, Z, T ), !
% 18.56/18.95 cyclic( Y, X, T, Z ) }.
% 18.56/18.95 parent1[0]: (55714) {G6,W5,D2,L1,V1,M1} S(908);r(51243) { cyclic( X, skol29
% 18.56/18.95 , skol27, skol27 ) }.
% 18.56/18.95 substitution0:
% 18.56/18.95 X := skol29
% 18.56/18.95 Y := X
% 18.56/18.95 Z := skol27
% 18.56/18.95 T := skol27
% 18.56/18.95 end
% 18.56/18.95 substitution1:
% 18.56/18.95 X := X
% 18.56/18.95 end
% 18.56/18.95
% 18.56/18.95 subsumption: (55735) {G7,W5,D2,L1,V1,M1} R(55714,433) { cyclic( skol29, X,
% 18.56/18.95 skol27, skol27 ) }.
% 18.56/18.95 parent0: (63971) {G2,W5,D2,L1,V1,M1} { cyclic( skol29, X, skol27, skol27 )
% 18.56/18.95 }.
% 18.56/18.95 substitution0:
% 18.56/18.95 X := X
% 18.56/18.95 end
% 18.56/18.95 permutation0:
% 18.56/18.95 0 ==> 0
% 18.56/18.95 end
% 18.56/18.95
% 18.56/18.95 resolution: (63972) {G3,W5,D2,L1,V1,M1} { cyclic( skol27, X, skol27,
% 18.56/18.95 skol27 ) }.
% 18.56/18.95 parent0[0]: (467) {G2,W10,D2,L2,V4,M2} F(458) { ! cyclic( X, Y, Z, T ),
% 18.56/18.95 cyclic( Z, Y, T, T ) }.
% 18.56/18.95 parent1[0]: (55735) {G7,W5,D2,L1,V1,M1} R(55714,433) { cyclic( skol29, X,
% 18.56/18.95 skol27, skol27 ) }.
% 18.56/18.95 substitution0:
% 18.56/18.95 X := skol29
% 18.56/18.95 Y := X
% 18.56/18.95 Z := skol27
% 18.56/18.95 T := skol27
% 18.56/18.95 end
% 18.56/18.95 substitution1:
% 18.56/18.95 X := X
% 18.56/18.95 end
% 18.56/18.95
% 18.56/18.95 subsumption: (55747) {G8,W5,D2,L1,V1,M1} R(55735,467) { cyclic( skol27, X,
% 18.56/18.95 skol27, skol27 ) }.
% 18.56/18.95 parent0: (63972) {G3,W5,D2,L1,V1,M1} { cyclic( skol27, X, skol27, skol27 )
% 18.56/18.95 }.
% 18.56/18.95 substitution0:
% 18.56/18.95 X := X
% 18.56/18.95 end
% 18.56/18.95 permutation0:
% 18.56/18.95 0 ==> 0
% 18.56/18.95 end
% 18.56/18.95
% 18.56/18.95 resolution: (63973) {G2,W5,D2,L1,V1,M1} { cyclic( skol27, skol27, X,
% 18.56/18.95 skol27 ) }.
% 18.56/18.95 parent0[1]: (431) {G1,W10,D2,L2,V4,M2} R(15,14) { cyclic( X, Y, Z, T ), !
% 18.56/18.95 cyclic( Y, Z, X, T ) }.
% 18.56/18.95 parent1[0]: (55747) {G8,W5,D2,L1,V1,M1} R(55735,467) { cyclic( skol27, X,
% 18.56/18.95 skol27, skol27 ) }.
% 18.56/18.95 substitution0:
% 18.56/18.95 X := skol27
% 18.56/18.95 Y := skol27
% 18.56/18.95 Z := X
% 18.56/18.95 T := skol27
% 18.56/18.95 end
% 18.56/18.95 substitution1:
% 18.56/18.95 X := X
% 18.56/18.95 end
% 18.56/18.95
% 18.56/18.95 subsumption: (55769) {G9,W5,D2,L1,V1,M1} R(55747,431) { cyclic( skol27,
% 18.56/18.95 skol27, X, skol27 ) }.
% 18.56/18.95 parent0: (63973) {G2,W5,D2,L1,V1,M1} { cyclic( skol27, skol27, X, skol27 )
% 18.56/18.95 }.
% 18.56/18.95 substitution0:
% 18.56/18.95 X := X
% 18.56/18.95 end
% 18.56/18.95 permutation0:
% 18.56/18.95 0 ==> 0
% 18.56/18.95 end
% 18.56/18.95
% 18.56/18.95 resolution: (63974) {G2,W5,D2,L1,V1,M1} { cyclic( skol27, skol27, skol27,
% 18.56/18.95 X ) }.
% 18.56/18.95 parent0[0]: (414) {G1,W10,D2,L2,V4,M2} R(14,13) { ! cyclic( X, Y, Z, T ),
% 18.56/18.95 cyclic( X, Z, T, Y ) }.
% 18.56/18.95 parent1[0]: (55747) {G8,W5,D2,L1,V1,M1} R(55735,467) { cyclic( skol27, X,
% 18.56/18.95 skol27, skol27 ) }.
% 18.56/18.95 substitution0:
% 18.56/18.95 X := skol27
% 18.56/18.95 Y := X
% 18.56/18.95 Z := skol27
% 18.56/18.95 T := skol27
% 18.56/18.95 end
% 18.56/18.95 substitution1:
% 18.56/18.95 X := X
% 18.56/18.95 end
% 18.56/18.95
% 18.56/18.95 subsumption: (55770) {G9,W5,D2,L1,V1,M1} R(55747,414) { cyclic( skol27,
% 18.56/18.95 skol27, skol27, X ) }.
% 18.56/18.95 parent0: (63974) {G2,W5,D2,L1,V1,M1} { cyclic( skol27, skol27, skol27, X )
% 18.56/18.95 }.
% 18.56/18.95 substitution0:
% 18.56/18.95 X := X
% 18.56/18.95 end
% 18.56/18.95 permutation0:
% 18.56/18.95 0 ==> 0
% 18.56/18.95 end
% 18.56/18.95
% 18.56/18.95 resolution: (63976) {G2,W10,D2,L2,V2,M2} { ! cyclic( skol27, skol27,
% 18.56/18.95 skol27, X ), cyclic( skol27, skol27, X, Y ) }.
% 18.56/18.95 parent0[2]: (463) {G1,W15,D2,L3,V5,M3} R(16,13) { ! cyclic( X, Y, Z, T ),
% 18.56/18.95 cyclic( Y, Z, T, U ), ! cyclic( X, Y, U, Z ) }.
% 18.56/18.95 parent1[0]: (55769) {G9,W5,D2,L1,V1,M1} R(55747,431) { cyclic( skol27,
% 18.56/18.95 skol27, X, skol27 ) }.
% 18.56/18.95 substitution0:
% 18.56/18.95 X := skol27
% 18.56/18.95 Y := skol27
% 18.56/18.95 Z := skol27
% 18.56/18.95 T := X
% 18.56/18.95 U := Y
% 18.56/18.95 end
% 18.56/18.95 substitution1:
% 18.56/18.95 X := Y
% 18.56/18.95 end
% 18.56/18.95
% 18.56/18.95 resolution: (63977) {G3,W5,D2,L1,V2,M1} { cyclic( skol27, skol27, X, Y )
% 18.56/18.95 }.
% 18.56/18.95 parent0[0]: (63976) {G2,W10,D2,L2,V2,M2} { ! cyclic( skol27, skol27,
% 18.56/18.95 skol27, X ), cyclic( skol27, skol27, X, Y ) }.
% 18.56/18.95 parent1[0]: (55770) {G9,W5,D2,L1,V1,M1} R(55747,414) { cyclic( skol27,
% 18.56/18.95 skol27, skol27, X ) }.
% 18.56/18.95 substitution0:
% 18.56/18.95 X := X
% 18.56/18.95 Y := Y
% 18.56/18.95 end
% 18.56/18.95 substitution1:
% 18.56/18.95 X := X
% 18.56/18.95 end
% 18.56/18.95
% 18.56/18.95 subsumption: (55775) {G10,W5,D2,L1,V2,M1} R(55769,463);r(55770) { cyclic(
% 18.56/18.95 skol27, skol27, X, Y ) }.
% 18.56/18.95 parent0: (63977) {G3,W5,D2,L1,V2,M1} { cyclic( skol27, skol27, X, Y ) }.
% 18.56/18.95 substitution0:
% 18.56/18.95 X := X
% 18.56/18.95 Y := Y
% 18.56/18.95 end
% 18.56/18.95 permutation0:
% 18.56/18.95 0 ==> 0
% 18.56/18.95 end
% 18.56/18.95
% 18.56/18.95 resolution: (63978) {G2,W10,D2,L2,V3,M2} { cyclic( skol27, X, Y, Z ), !
% 18.56/18.95 cyclic( skol27, skol27, Z, X ) }.
% 18.56/18.95 parent0[0]: (463) {G1,W15,D2,L3,V5,M3} R(16,13) { ! cyclic( X, Y, Z, T ),
% 18.56/18.95 cyclic( Y, Z, T, U ), ! cyclic( X, Y, U, Z ) }.
% 18.56/18.95 parent1[0]: (55775) {G10,W5,D2,L1,V2,M1} R(55769,463);r(55770) { cyclic(
% 18.56/18.95 skol27, skol27, X, Y ) }.
% 18.56/18.95 substitution0:
% 18.56/18.95 X := skol27
% 18.56/18.95 Y := skol27
% 18.56/18.95 Z := X
% 18.56/18.95 T := Y
% 18.56/18.95 U := Z
% 18.56/18.95 end
% 18.56/18.95 substitution1:
% 18.56/18.95 X := X
% 18.56/18.95 Y := Y
% 18.56/18.95 end
% 18.56/18.95
% 18.56/18.95 resolution: (63980) {G3,W5,D2,L1,V3,M1} { cyclic( skol27, X, Y, Z ) }.
% 18.56/18.95 parent0[1]: (63978) {G2,W10,D2,L2,V3,M2} { cyclic( skol27, X, Y, Z ), !
% 18.56/18.95 cyclic( skol27, skol27, Z, X ) }.
% 18.56/18.95 parent1[0]: (55775) {G10,W5,D2,L1,V2,M1} R(55769,463);r(55770) { cyclic(
% 18.56/18.95 skol27, skol27, X, Y ) }.
% 18.56/18.95 substitution0:
% 18.56/18.95 X := X
% 18.56/18.95 Y := Y
% 18.56/18.95 Z := Z
% 18.56/18.95 end
% 18.56/18.95 substitution1:
% 18.56/18.95 X := Z
% 18.56/18.95 Y := X
% 18.56/18.95 end
% 18.56/18.95
% 18.56/18.95 subsumption: (55797) {G11,W5,D2,L1,V3,M1} R(55775,463);r(55775) { cyclic(
% 18.56/18.95 skol27, X, Y, Z ) }.
% 18.56/18.95 parent0: (63980) {G3,W5,D2,L1,V3,M1} { cyclic( skol27, X, Y, Z ) }.
% 18.56/18.95 substitution0:
% 18.56/18.95 X := X
% 18.56/18.95 Y := Y
% 18.56/18.95 Z := Z
% 18.56/18.95 end
% 18.56/18.95 permutation0:
% 18.56/18.95 0 ==> 0
% 18.56/18.95 end
% 18.56/18.95
% 18.56/18.95 resolution: (63981) {G2,W10,D2,L2,V4,M2} { cyclic( X, Y, Z, T ), ! cyclic
% 18.56/18.95 ( skol27, X, T, Y ) }.
% 18.56/18.95 parent0[0]: (463) {G1,W15,D2,L3,V5,M3} R(16,13) { ! cyclic( X, Y, Z, T ),
% 18.56/18.95 cyclic( Y, Z, T, U ), ! cyclic( X, Y, U, Z ) }.
% 18.56/18.95 parent1[0]: (55797) {G11,W5,D2,L1,V3,M1} R(55775,463);r(55775) { cyclic(
% 18.56/18.95 skol27, X, Y, Z ) }.
% 18.56/18.95 substitution0:
% 18.56/18.95 X := skol27
% 18.56/18.95 Y := X
% 18.56/18.95 Z := Y
% 18.56/18.95 T := Z
% 18.56/18.95 U := T
% 18.56/18.95 end
% 18.56/18.95 substitution1:
% 18.56/18.95 X := X
% 18.56/18.95 Y := Y
% 18.56/18.95 Z := Z
% 18.56/18.95 end
% 18.56/18.95
% 18.56/18.95 resolution: (63983) {G3,W5,D2,L1,V4,M1} { cyclic( X, Y, Z, T ) }.
% 18.56/18.95 parent0[1]: (63981) {G2,W10,D2,L2,V4,M2} { cyclic( X, Y, Z, T ), ! cyclic
% 18.56/18.95 ( skol27, X, T, Y ) }.
% 18.56/18.95 parent1[0]: (55797) {G11,W5,D2,L1,V3,M1} R(55775,463);r(55775) { cyclic(
% 18.56/18.95 skol27, X, Y, Z ) }.
% 18.56/18.95 substitution0:
% 18.56/18.95 X := X
% 18.56/18.95 Y := Y
% 18.56/18.95 Z := Z
% 18.56/18.95 T := T
% 18.56/18.95 end
% 18.56/18.95 substitution1:
% 18.56/18.95 X := X
% 18.56/18.95 Y := T
% 18.56/18.95 Z := Y
% 18.56/18.95 end
% 18.56/18.95
% 18.56/18.95 subsumption: (55816) {G12,W5,D2,L1,V4,M1} R(55797,463);r(55797) { cyclic( X
% 18.56/18.95 , Y, Z, T ) }.
% 18.56/18.95 parent0: (63983) {G3,W5,D2,L1,V4,M1} { cyclic( X, Y, Z, T ) }.
% 18.56/18.95 substitution0:
% 18.56/18.95 X := X
% 18.56/18.95 Y := Y
% 18.56/18.95 Z := Z
% 18.56/18.95 T := T
% 18.56/18.95 end
% 18.56/18.95 permutation0:
% 18.56/18.95 0 ==> 0
% 18.56/18.95 end
% 18.56/18.95
% 18.56/18.95 resolution: (63984) {G3,W4,D2,L1,V2,M1} { coll( Z, X, X ) }.
% 18.56/18.95 parent0[0]: (52236) {G2,W9,D2,L2,V3,M2} R(839,66) { ! cyclic( X, Y, Z, Z )
% 18.56/18.95 , coll( Z, X, X ) }.
% 18.56/18.95 parent1[0]: (55816) {G12,W5,D2,L1,V4,M1} R(55797,463);r(55797) { cyclic( X
% 18.56/18.95 , Y, Z, T ) }.
% 18.56/18.95 substitution0:
% 18.56/18.95 X := X
% 18.56/18.95 Y := Y
% 18.56/18.95 Z := Z
% 18.56/18.95 end
% 18.56/18.95 substitution1:
% 18.56/18.95 X := X
% 18.56/18.95 Y := Y
% 18.56/18.95 Z := Z
% 18.56/18.95 T := Z
% 18.56/18.95 end
% 18.56/18.95
% 18.56/18.95 subsumption: (60063) {G13,W4,D2,L1,V2,M1} S(52236);r(55816) { coll( Z, X, X
% 18.56/18.95 ) }.
% 18.56/18.95 parent0: (63984) {G3,W4,D2,L1,V2,M1} { coll( Z, X, X ) }.
% 18.56/18.95 substitution0:
% 18.56/18.95 X := X
% 18.56/18.95 Y := T
% 18.56/18.95 Z := Z
% 18.56/18.95 end
% 18.56/18.95 permutation0:
% 18.56/18.95 0 ==> 0
% 18.56/18.95 end
% 18.56/18.95
% 18.56/18.95 resolution: (63987) {G2,W15,D2,L3,V4,M3} { ! cong( X, Y, Z, Y ), perp( Y,
% 18.56/18.95 X, X, T ), ! cong( Z, T, X, T ) }.
% 18.56/18.95 parent0[1]: (1820) {G1,W20,D2,L4,V4,M4} R(57,23) { ! cong( X, Y, Z, Y ), !
% 18.56/18.95 cyclic( X, Z, Y, T ), perp( Y, X, X, T ), ! cong( Z, T, X, T ) }.
% 18.56/18.95 parent1[0]: (55816) {G12,W5,D2,L1,V4,M1} R(55797,463);r(55797) { cyclic( X
% 18.56/18.95 , Y, Z, T ) }.
% 18.56/18.95 substitution0:
% 18.56/18.95 X := X
% 18.56/18.95 Y := Y
% 18.56/18.95 Z := Z
% 18.56/18.95 T := T
% 18.56/18.95 end
% 18.56/18.95 substitution1:
% 18.56/18.95 X := X
% 18.56/18.95 Y := Z
% 18.56/18.95 Z := Y
% 18.56/18.95 T := T
% 18.56/18.95 end
% 18.56/18.95
% 18.56/18.95 subsumption: (61739) {G13,W15,D2,L3,V4,M3} S(1820);r(55816) { ! cong( X, Y
% 18.56/18.95 , Z, Y ), perp( Y, X, X, T ), ! cong( Z, T, X, T ) }.
% 18.56/18.95 parent0: (63987) {G2,W15,D2,L3,V4,M3} { ! cong( X, Y, Z, Y ), perp( Y, X,
% 18.56/18.95 X, T ), ! cong( Z, T, X, T ) }.
% 18.56/18.95 substitution0:
% 18.56/18.95 X := X
% 18.56/18.95 Y := Y
% 18.56/18.95 Z := Z
% 18.56/18.95 T := T
% 18.56/18.95 end
% 18.56/18.95 permutation0:
% 18.56/18.95 0 ==> 0
% 18.56/18.95 1 ==> 1
% 18.56/18.95 2 ==> 2
% 18.56/18.95 end
% 18.56/18.95
% 18.56/18.95 resolution: (63991) {G3,W10,D2,L2,V3,M2} { ! cyclic( X, Y, Z, Y ), cong( X
% 18.56/18.95 , Y, X, Y ) }.
% 18.56/18.95 parent0[0]: (1067) {G2,W15,D2,L3,V3,M3} F(1035) { ! cyclic( X, Y, Z, X ), !
% 18.56/18.95 cyclic( X, Y, Z, Y ), cong( X, Y, X, Y ) }.
% 18.56/18.95 parent1[0]: (55816) {G12,W5,D2,L1,V4,M1} R(55797,463);r(55797) { cyclic( X
% 18.56/18.95 , Y, Z, T ) }.
% 18.56/18.95 substitution0:
% 18.56/18.95 X := X
% 18.56/18.95 Y := Y
% 18.56/18.95 Z := Z
% 18.56/18.95 end
% 18.56/18.95 substitution1:
% 18.56/18.95 X := X
% 18.56/18.95 Y := Y
% 18.56/18.95 Z := Z
% 18.56/18.95 T := X
% 18.56/18.95 end
% 18.56/18.95
% 18.56/18.95 resolution: (63993) {G4,W5,D2,L1,V2,M1} { cong( X, Y, X, Y ) }.
% 18.56/18.95 parent0[0]: (63991) {G3,W10,D2,L2,V3,M2} { ! cyclic( X, Y, Z, Y ), cong( X
% 18.56/18.95 , Y, X, Y ) }.
% 18.56/18.95 parent1[0]: (55816) {G12,W5,D2,L1,V4,M1} R(55797,463);r(55797) { cyclic( X
% 18.56/18.95 , Y, Z, T ) }.
% 18.56/18.95 substitution0:
% 18.56/18.95 X := X
% 18.56/18.95 Y := Y
% 18.56/18.95 Z := Z
% 18.56/18.95 end
% 18.56/18.95 substitution1:
% 18.56/18.95 X := X
% 18.56/18.95 Y := Y
% 18.56/18.95 Z := Z
% 18.56/18.95 T := Y
% 18.56/18.95 end
% 18.56/18.95
% 18.56/18.95 subsumption: (61765) {G13,W5,D2,L1,V2,M1} S(1067);r(55816);r(55816) { cong
% 18.56/18.95 ( X, Y, X, Y ) }.
% 18.56/18.95 parent0: (63993) {G4,W5,D2,L1,V2,M1} { cong( X, Y, X, Y ) }.
% 18.56/18.95 substitution0:
% 18.56/18.95 X := X
% 18.56/18.95 Y := Y
% 18.56/18.95 end
% 18.56/18.95 permutation0:
% 18.56/18.95 0 ==> 0
% 18.56/18.95 end
% 18.56/18.95
% 18.56/18.95 factor: (63994) {G13,W10,D2,L2,V2,M2} { ! cong( X, Y, X, Y ), perp( Y, X,
% 18.56/18.95 X, Y ) }.
% 18.56/18.95 parent0[0, 2]: (61739) {G13,W15,D2,L3,V4,M3} S(1820);r(55816) { ! cong( X,
% 18.56/18.95 Y, Z, Y ), perp( Y, X, X, T ), ! cong( Z, T, X, T ) }.
% 18.56/18.95 substitution0:
% 18.56/18.95 X := X
% 18.56/18.95 Y := Y
% 18.56/18.95 Z := X
% 18.56/18.95 T := Y
% 18.56/18.95 end
% 18.56/18.95
% 18.56/18.95 resolution: (63995) {G14,W5,D2,L1,V2,M1} { perp( Y, X, X, Y ) }.
% 18.56/18.95 parent0[0]: (63994) {G13,W10,D2,L2,V2,M2} { ! cong( X, Y, X, Y ), perp( Y
% 18.56/18.95 , X, X, Y ) }.
% 18.56/18.95 parent1[0]: (61765) {G13,W5,D2,L1,V2,M1} S(1067);r(55816);r(55816) { cong(
% 18.56/18.95 X, Y, X, Y ) }.
% 18.56/18.95 substitution0:
% 18.56/18.95 X := X
% 18.56/18.95 Y := Y
% 18.56/18.95 end
% 18.56/18.95 substitution1:
% 18.56/18.95 X := X
% 18.56/18.95 Y := Y
% 18.56/18.95 end
% 18.56/18.95
% 18.56/18.95 subsumption: (61772) {G14,W5,D2,L1,V2,M1} F(61739);r(61765) { perp( Y, X, X
% 18.56/18.95 , Y ) }.
% 18.56/18.95 parent0: (63995) {G14,W5,D2,L1,V2,M1} { perp( Y, X, X, Y ) }.
% 18.56/18.95 substitution0:
% 18.56/18.95 X := X
% 18.56/18.95 Y := Y
% 18.56/18.95 end
% 18.56/18.95 permutation0:
% 18.56/18.95 0 ==> 0
% 18.56/18.95 end
% 18.56/18.95
% 18.56/18.95 resolution: (63996) {G1,W9,D2,L2,V2,M2} { ! cong( X, Y, X, Y ), midp( X, Y
% 18.56/18.95 , Y ) }.
% 18.56/18.95 parent0[1]: (67) {G0,W13,D2,L3,V3,M3} I { ! cong( X, Y, X, Z ), ! coll( X,
% 18.56/18.95 Y, Z ), midp( X, Y, Z ) }.
% 18.56/18.95 parent1[0]: (60063) {G13,W4,D2,L1,V2,M1} S(52236);r(55816) { coll( Z, X, X
% 18.56/18.95 ) }.
% 18.56/18.95 substitution0:
% 18.56/18.95 X := X
% 18.56/18.95 Y := Y
% 18.56/18.95 Z := Y
% 18.56/18.95 end
% 18.56/18.95 substitution1:
% 18.56/18.95 X := Y
% 18.56/18.95 Y := Z
% 18.56/18.95 Z := X
% 18.56/18.95 end
% 18.56/18.95
% 18.56/18.95 resolution: (63997) {G2,W4,D2,L1,V2,M1} { midp( X, Y, Y ) }.
% 18.56/18.95 parent0[0]: (63996) {G1,W9,D2,L2,V2,M2} { ! cong( X, Y, X, Y ), midp( X, Y
% 18.56/18.95 , Y ) }.
% 18.56/18.95 parent1[0]: (61765) {G13,W5,D2,L1,V2,M1} S(1067);r(55816);r(55816) { cong(
% 18.56/18.95 X, Y, X, Y ) }.
% 18.56/18.95 substitution0:
% 18.56/18.95 X := X
% 18.56/18.95 Y := Y
% 18.56/18.95 end
% 18.56/18.95 substitution1:
% 18.56/18.95 X := X
% 18.56/18.95 Y := Y
% 18.56/18.95 end
% 18.56/18.95
% 18.56/18.95 subsumption: (61786) {G14,W4,D2,L1,V2,M1} R(60063,67);r(61765) { midp( X, Y
% 18.56/18.95 , Y ) }.
% 18.56/18.95 parent0: (63997) {G2,W4,D2,L1,V2,M1} { midp( X, Y, Y ) }.
% 18.56/18.95 substitution0:
% 18.56/18.95 X := X
% 18.56/18.95 Y := Y
% 18.56/18.95 end
% 18.56/18.95 permutation0:
% 18.56/18.95 0 ==> 0
% 18.56/18.95 end
% 18.56/18.95
% 18.56/18.95 resolution: (63998) {G1,W10,D2,L2,V3,M2} { ! perp( X, Y, Y, X ), cong( X,
% 18.56/18.95 Z, Y, Z ) }.
% 18.56/18.95 parent0[1]: (52) {G0,W14,D2,L3,V4,M3} I { ! perp( X, Y, Y, T ), ! midp( Z,
% 18.56/18.95 X, T ), cong( X, Z, Y, Z ) }.
% 18.56/18.95 parent1[0]: (61786) {G14,W4,D2,L1,V2,M1} R(60063,67);r(61765) { midp( X, Y
% 18.56/18.95 , Y ) }.
% 18.56/18.95 substitution0:
% 18.56/18.95 X := X
% 18.56/18.95 Y := Y
% 18.56/18.95 Z := Z
% 18.56/18.95 T := X
% 18.56/18.95 end
% 18.56/18.95 substitution1:
% 18.56/18.95 X := Z
% 18.56/18.95 Y := X
% 18.56/18.95 end
% 18.56/18.95
% 18.56/18.95 resolution: (63999) {G2,W5,D2,L1,V3,M1} { cong( X, Z, Y, Z ) }.
% 18.56/18.95 parent0[0]: (63998) {G1,W10,D2,L2,V3,M2} { ! perp( X, Y, Y, X ), cong( X,
% 18.56/18.95 Z, Y, Z ) }.
% 18.56/18.95 parent1[0]: (61772) {G14,W5,D2,L1,V2,M1} F(61739);r(61765) { perp( Y, X, X
% 18.56/18.95 , Y ) }.
% 18.56/18.95 substitution0:
% 18.56/18.95 X := X
% 18.56/18.95 Y := Y
% 18.56/18.95 Z := Z
% 18.56/18.95 end
% 18.56/18.95 substitution1:
% 18.56/18.95 X := Y
% 18.56/18.95 Y := X
% 18.56/18.95 end
% 18.56/18.95
% 18.56/18.95 subsumption: (61805) {G15,W5,D2,L1,V3,M1} R(61786,52);r(61772) { cong( X, Z
% 18.56/18.95 , Y, Z ) }.
% 18.56/18.95 parent0: (63999) {G2,W5,D2,L1,V3,M1} { cong( X, Z, Y, Z ) }.
% 18.56/18.95 substitution0:
% 18.56/18.95 X := X
% 18.56/18.95 Y := Y
% 18.56/18.95 Z := Z
% 18.56/18.95 end
% 18.56/18.95 permutation0:
% 18.56/18.95 0 ==> 0
% 18.56/18.95 end
% 18.56/18.95
% 18.56/18.95 resolution: (64002) {G1,W10,D2,L2,V4,M2} { ! cong( X, T, Z, T ), perp( X,
% 18.56/18.95 Z, Y, T ) }.
% 18.56/18.95 parent0[0]: (56) {G0,W15,D2,L3,V4,M3} I { ! cong( X, Z, Y, Z ), ! cong( X,
% 18.56/18.95 T, Y, T ), perp( X, Y, Z, T ) }.
% 18.56/18.95 parent1[0]: (61805) {G15,W5,D2,L1,V3,M1} R(61786,52);r(61772) { cong( X, Z
% 18.56/18.95 , Y, Z ) }.
% 18.56/18.95 substitution0:
% 18.56/18.95 X := X
% 18.56/18.95 Y := Z
% 18.56/18.95 Z := Y
% 18.56/18.95 T := T
% 18.56/18.95 end
% 18.56/18.95 substitution1:
% 18.56/18.95 X := X
% 18.56/18.95 Y := Z
% 18.56/18.95 Z := Y
% 18.56/18.95 end
% 18.56/18.95
% 18.56/18.95 resolution: (64004) {G2,W5,D2,L1,V4,M1} { perp( X, Z, T, Y ) }.
% 18.56/18.95 parent0[0]: (64002) {G1,W10,D2,L2,V4,M2} { ! cong( X, T, Z, T ), perp( X,
% 18.56/18.95 Z, Y, T ) }.
% 18.56/18.95 parent1[0]: (61805) {G15,W5,D2,L1,V3,M1} R(61786,52);r(61772) { cong( X, Z
% 18.56/18.95 , Y, Z ) }.
% 18.56/18.95 substitution0:
% 18.56/18.95 X := X
% 18.56/18.95 Y := T
% 18.56/18.95 Z := Z
% 18.56/18.95 T := Y
% 18.56/18.95 end
% 18.56/18.95 substitution1:
% 18.56/18.95 X := X
% 18.56/18.95 Y := Z
% 18.56/18.95 Z := Y
% 18.56/18.95 end
% 18.56/18.95
% 18.56/18.95 subsumption: (62781) {G16,W5,D2,L1,V4,M1} S(56);r(61805);r(61805) { perp( X
% 18.56/18.95 , Y, Z, T ) }.
% 18.56/18.95 parent0: (64004) {G2,W5,D2,L1,V4,M1} { perp( X, Z, T, Y ) }.
% 18.56/18.95 substitution0:
% 18.56/18.95 X := X
% 18.56/18.95 Y := T
% 18.56/18.95 Z := Y
% 18.56/18.95 T := Z
% 18.56/18.95 end
% 18.56/18.95 permutation0:
% 18.56/18.95 0 ==> 0
% 18.56/18.95 end
% 18.56/18.95
% 18.56/18.95 resolution: (64007) {G1,W10,D2,L2,V6,M2} { ! perp( Z, T, U, W ), para( X,
% 18.56/18.95 Y, U, W ) }.
% 18.56/18.95 parent0[0]: (8) {G0,W15,D2,L3,V6,M3} I { ! perp( X, Y, U, W ), ! perp( U, W
% 18.56/18.95 , Z, T ), para( X, Y, Z, T ) }.
% 18.56/18.95 parent1[0]: (62781) {G16,W5,D2,L1,V4,M1} S(56);r(61805);r(61805) { perp( X
% 18.56/18.95 , Y, Z, T ) }.
% 18.56/18.95 substitution0:
% 18.56/18.95 X := X
% 18.56/18.95 Y := Y
% 18.56/18.95 Z := U
% 18.56/18.95 T := W
% 18.56/18.95 U := Z
% 18.56/18.95 W := T
% 18.56/18.95 end
% 18.56/18.95 substitution1:
% 18.56/18.95 X := X
% 18.56/18.95 Y := Y
% 18.56/18.95 Z := Z
% 18.56/18.95 T := T
% 18.56/18.95 end
% 18.56/18.95
% 18.56/18.95 resolution: (64009) {G2,W5,D2,L1,V4,M1} { para( U, W, Z, T ) }.
% 18.56/18.95 parent0[0]: (64007) {G1,W10,D2,L2,V6,M2} { ! perp( Z, T, U, W ), para( X,
% 18.56/18.95 Y, U, W ) }.
% 18.56/18.95 parent1[0]: (62781) {G16,W5,D2,L1,V4,M1} S(56);r(61805);r(61805) { perp( X
% 18.56/18.95 , Y, Z, T ) }.
% 18.56/18.95 substitution0:
% 18.56/18.95 X := U
% 18.56/18.95 Y := W
% 18.56/18.95 Z := X
% 18.56/18.95 T := Y
% 18.56/18.95 U := Z
% 18.56/18.95 W := T
% 18.56/18.95 end
% 18.56/18.95 substitution1:
% 18.56/18.95 X := X
% 18.56/18.95 Y := Y
% 18.56/18.95 Z := Z
% 18.56/18.95 T := T
% 18.56/18.95 end
% 18.56/18.95
% 18.56/18.95 subsumption: (62784) {G17,W5,D2,L1,V4,M1} S(8);r(62781);r(62781) { para( X
% 18.56/18.95 , Y, Z, T ) }.
% 18.56/18.95 parent0: (64009) {G2,W5,D2,L1,V4,M1} { para( U, W, Z, T ) }.
% 18.56/18.95 substitution0:
% 18.56/18.95 X := U
% 18.56/18.95 Y := W
% 18.56/18.95 Z := Z
% 18.56/18.95 T := T
% 18.56/18.95 U := X
% 18.56/18.95 W := Y
% 18.56/18.95 end
% 18.56/18.95 permutation0:
% 18.56/18.95 0 ==> 0
% 18.56/18.95 end
% 18.56/18.95
% 18.56/18.95 resolution: (64010) {G2,W9,D2,L1,V6,M1} { eqangle( U, W, X, Y, U, W, Z, T
% 18.56/18.95 ) }.
% 18.56/18.95 parent0[0]: (825) {G1,W14,D2,L2,V6,M2} R(39,18) { ! para( X, Y, Z, T ),
% 18.56/18.95 eqangle( U, W, X, Y, U, W, Z, T ) }.
% 18.56/18.95 parent1[0]: (62784) {G17,W5,D2,L1,V4,M1} S(8);r(62781);r(62781) { para( X,
% 18.56/18.95 Y, Z, T ) }.
% 18.56/18.95 substitution0:
% 18.56/18.95 X := X
% 18.56/18.95 Y := Y
% 18.56/18.95 Z := Z
% 18.56/18.95 T := T
% 18.56/18.95 U := U
% 18.56/18.95 W := W
% 18.56/18.95 end
% 18.56/18.95 substitution1:
% 18.56/18.95 X := X
% 18.56/18.95 Y := Y
% 18.56/18.95 Z := Z
% 18.56/18.95 T := T
% 18.56/18.95 end
% 18.56/18.95
% 18.56/18.95 subsumption: (63205) {G18,W9,D2,L1,V6,M1} R(62784,825) { eqangle( X, Y, Z,
% 18.56/18.95 T, X, Y, U, W ) }.
% 18.56/18.95 parent0: (64010) {G2,W9,D2,L1,V6,M1} { eqangle( U, W, X, Y, U, W, Z, T )
% 18.56/18.95 }.
% 18.56/18.95 substitution0:
% 18.56/18.95 X := Z
% 18.56/18.95 Y := T
% 18.56/18.95 Z := U
% 18.56/18.95 T := W
% 18.56/18.95 U := X
% 18.56/18.95 W := Y
% 18.56/18.95 end
% 18.56/18.95 permutation0:
% 18.56/18.95 0 ==> 0
% 18.56/18.95 end
% 18.56/18.95
% 18.56/18.95 resolution: (64011) {G2,W14,D2,L2,V8,M2} { ! para( X, Y, Z, T ), eqangle(
% 18.56/18.95 X, Y, U, W, Z, T, V0, V1 ) }.
% 18.56/18.95 parent0[1]: (822) {G1,W23,D2,L3,V10,M3} R(39,21) { ! para( X, Y, Z, T ), !
% 18.56/18.95 eqangle( U, W, V0, V1, X, Y, V2, V3 ), eqangle( U, W, V0, V1, Z, T, V2,
% 18.56/18.95 V3 ) }.
% 18.56/18.95 parent1[0]: (63205) {G18,W9,D2,L1,V6,M1} R(62784,825) { eqangle( X, Y, Z, T
% 18.56/18.95 , X, Y, U, W ) }.
% 18.56/18.95 substitution0:
% 18.56/18.95 X := X
% 18.56/18.95 Y := Y
% 18.56/18.95 Z := Z
% 18.56/18.95 T := T
% 18.56/18.95 U := X
% 18.56/18.95 W := Y
% 18.56/18.95 V0 := U
% 18.56/18.95 V1 := W
% 18.56/18.95 V2 := V0
% 18.56/18.95 V3 := V1
% 18.56/18.95 end
% 18.56/18.95 substitution1:
% 18.56/18.95 X := X
% 18.56/18.95 Y := Y
% 18.56/18.95 Z := U
% 18.56/18.95 T := W
% 18.56/18.95 U := V0
% 18.56/18.95 W := V1
% 18.56/18.95 end
% 18.56/18.95
% 18.56/18.95 resolution: (64012) {G3,W9,D2,L1,V8,M1} { eqangle( X, Y, U, W, Z, T, V0,
% 18.56/18.95 V1 ) }.
% 18.56/18.95 parent0[0]: (64011) {G2,W14,D2,L2,V8,M2} { ! para( X, Y, Z, T ), eqangle(
% 18.56/18.95 X, Y, U, W, Z, T, V0, V1 ) }.
% 18.56/18.95 parent1[0]: (62784) {G17,W5,D2,L1,V4,M1} S(8);r(62781);r(62781) { para( X,
% 18.56/18.95 Y, Z, T ) }.
% 18.56/18.95 substitution0:
% 18.56/18.95 X := X
% 18.56/18.95 Y := Y
% 18.56/18.95 Z := Z
% 18.56/18.95 T := T
% 18.56/18.95 U := U
% 18.56/18.95 W := W
% 18.56/18.95 V0 := V0
% 18.56/18.95 V1 := V1
% 18.56/18.95 end
% 18.56/18.95 substitution1:
% 18.56/18.95 X := X
% 18.56/18.95 Y := Y
% 18.56/18.95 Z := Z
% 18.56/18.95 T := T
% 18.56/18.95 end
% 18.56/18.95
% 18.56/18.95 subsumption: (63373) {G19,W9,D2,L1,V8,M1} R(63205,822);r(62784) { eqangle(
% 18.56/18.95 X, Y, U, W, Z, T, V0, V1 ) }.
% 18.56/18.95 parent0: (64012) {G3,W9,D2,L1,V8,M1} { eqangle( X, Y, U, W, Z, T, V0, V1 )
% 18.56/18.95 }.
% 18.56/18.95 substitution0:
% 18.56/18.95 X := X
% 18.56/18.95 Y := Y
% 18.56/18.95 Z := Z
% 18.56/18.95 T := T
% 18.56/18.95 U := U
% 18.56/18.95 W := W
% 18.56/18.95 V0 := V0
% 18.56/18.95 V1 := V1
% 18.56/18.95 end
% 18.56/18.95 permutation0:
% 18.56/18.95 0 ==> 0
% 18.56/18.95 end
% 18.56/18.95
% 18.56/18.95 resolution: (64013) {G1,W0,D0,L0,V0,M0} { }.
% 18.56/18.95 parent0[0]: (132) {G0,W9,D2,L1,V0,M1} I { ! eqangle( skol20, skol25, skol25
% 18.56/18.95 , skol24, skol22, skol26, skol26, skol23 ) }.
% 18.56/18.95 parent1[0]: (63373) {G19,W9,D2,L1,V8,M1} R(63205,822);r(62784) { eqangle( X
% 18.56/18.95 , Y, U, W, Z, T, V0, V1 ) }.
% 18.56/18.95 substitution0:
% 18.56/18.95 end
% 18.56/18.95 substitution1:
% 18.56/18.95 X := skol20
% 18.56/18.95 Y := skol25
% 18.56/18.95 Z := skol22
% 18.56/18.95 T := skol26
% 18.56/18.95 U := skol25
% 18.56/18.95 W := skol24
% 18.56/18.95 V0 := skol26
% 18.56/18.95 V1 := skol23
% 18.56/18.95 end
% 18.56/18.95
% 18.56/18.95 subsumption: (63374) {G20,W0,D0,L0,V0,M0} R(63373,132) { }.
% 18.56/18.95 parent0: (64013) {G1,W0,D0,L0,V0,M0} { }.
% 18.56/18.95 substitution0:
% 18.56/18.95 end
% 18.56/18.95 permutation0:
% 18.56/18.95 end
% 18.56/18.95
% 18.56/18.95 Proof check complete!
% 18.56/18.95
% 18.56/18.95 Memory use:
% 18.56/18.95
% 18.56/18.95 space for terms: 840972
% 18.56/18.95 space for clauses: 2983354
% 18.56/18.95
% 18.56/18.95
% 18.56/18.95 clauses generated: 405820
% 18.56/18.95 clauses kept: 63375
% 18.56/18.95 clauses selected: 3954
% 18.56/18.95 clauses deleted: 33675
% 18.56/18.95 clauses inuse deleted: 3251
% 18.56/18.95
% 18.56/18.95 subsentry: 11792667
% 18.56/18.95 literals s-matched: 6681858
% 18.56/18.95 literals matched: 3481089
% 18.56/18.95 full subsumption: 1467612
% 18.56/18.95
% 18.56/18.95 checksum: 617061966
% 18.56/18.95
% 18.56/18.95
% 18.56/18.95 Bliksem ended
%------------------------------------------------------------------------------