%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : GEO560+1 : TPTP v8.1.0. Released v7.5.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n026.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 02:54:43 EDT 2022
% Result : Theorem 17.02s 17.46s
% Output : Refutation 17.02s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.11 % Problem : GEO560+1 : TPTP v8.1.0. Released v7.5.0.
% 0.11/0.12 % Command : bliksem %s
% 0.12/0.33 % Computer : n026.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % DateTime : Sat Jun 18 16:04:24 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.68/1.12 *** allocated 10000 integers for termspace/termends
% 0.68/1.12 *** allocated 10000 integers for clauses
% 0.68/1.12 *** allocated 10000 integers for justifications
% 0.68/1.12 Bliksem 1.12
% 0.68/1.12
% 0.68/1.12
% 0.68/1.12 Automatic Strategy Selection
% 0.68/1.12
% 0.68/1.12 *** allocated 15000 integers for termspace/termends
% 0.68/1.12
% 0.68/1.12 Clauses:
% 0.68/1.12
% 0.68/1.12 { ! coll( X, Y, Z ), coll( X, Z, Y ) }.
% 0.68/1.12 { ! coll( X, Y, Z ), coll( Y, X, Z ) }.
% 0.68/1.12 { ! coll( X, T, Y ), ! coll( X, T, Z ), coll( Y, Z, X ) }.
% 0.68/1.12 { ! para( X, Y, Z, T ), para( X, Y, T, Z ) }.
% 0.68/1.12 { ! para( X, Y, Z, T ), para( Z, T, X, Y ) }.
% 0.68/1.12 { ! para( X, Y, U, W ), ! para( U, W, Z, T ), para( X, Y, Z, T ) }.
% 0.68/1.12 { ! perp( X, Y, Z, T ), perp( X, Y, T, Z ) }.
% 0.68/1.12 { ! perp( X, Y, Z, T ), perp( Z, T, X, Y ) }.
% 0.68/1.12 { ! perp( X, Y, U, W ), ! perp( U, W, Z, T ), para( X, Y, Z, T ) }.
% 0.68/1.12 { ! para( X, Y, U, W ), ! perp( U, W, Z, T ), perp( X, Y, Z, T ) }.
% 0.68/1.12 { ! midp( Z, Y, X ), midp( Z, X, Y ) }.
% 0.68/1.12 { ! cong( T, X, T, Y ), ! cong( T, X, T, Z ), circle( T, X, Y, Z ) }.
% 0.68/1.12 { ! cong( U, X, U, Y ), ! cong( U, X, U, Z ), ! cong( U, X, U, T ), cyclic
% 0.68/1.12 ( X, Y, Z, T ) }.
% 0.68/1.12 { ! cyclic( X, Y, Z, T ), cyclic( X, Y, T, Z ) }.
% 0.68/1.12 { ! cyclic( X, Y, Z, T ), cyclic( X, Z, Y, T ) }.
% 0.68/1.12 { ! cyclic( X, Y, Z, T ), cyclic( Y, X, Z, T ) }.
% 0.68/1.12 { ! cyclic( U, X, Y, Z ), ! cyclic( U, X, Y, T ), cyclic( X, Y, Z, T ) }.
% 0.68/1.12 { ! eqangle( X, Y, Z, T, U, W, V0, V1 ), eqangle( Y, X, Z, T, U, W, V0, V1
% 0.68/1.12 ) }.
% 0.68/1.12 { ! eqangle( X, Y, Z, T, U, W, V0, V1 ), eqangle( Z, T, X, Y, V0, V1, U, W
% 0.68/1.12 ) }.
% 0.68/1.12 { ! eqangle( X, Y, Z, T, U, W, V0, V1 ), eqangle( U, W, V0, V1, X, Y, Z, T
% 0.68/1.12 ) }.
% 0.68/1.12 { ! eqangle( X, Y, Z, T, U, W, V0, V1 ), eqangle( X, Y, U, W, Z, T, V0, V1
% 0.68/1.12 ) }.
% 0.68/1.12 { ! eqangle( X, Y, Z, T, V2, V3, V4, V5 ), ! eqangle( V2, V3, V4, V5, U, W
% 0.68/1.12 , V0, V1 ), eqangle( X, Y, Z, T, U, W, V0, V1 ) }.
% 0.68/1.12 { ! cong( X, Y, Z, T ), cong( X, Y, T, Z ) }.
% 0.68/1.12 { ! cong( X, Y, Z, T ), cong( Z, T, X, Y ) }.
% 0.68/1.12 { ! cong( X, Y, U, W ), ! cong( U, W, Z, T ), cong( X, Y, Z, T ) }.
% 0.68/1.12 { ! eqratio( X, Y, Z, T, U, W, V0, V1 ), eqratio( Y, X, Z, T, U, W, V0, V1
% 0.68/1.12 ) }.
% 0.68/1.12 { ! eqratio( X, Y, Z, T, U, W, V0, V1 ), eqratio( Z, T, X, Y, V0, V1, U, W
% 0.68/1.12 ) }.
% 0.68/1.12 { ! eqratio( X, Y, Z, T, U, W, V0, V1 ), eqratio( U, W, V0, V1, X, Y, Z, T
% 0.68/1.12 ) }.
% 0.68/1.12 { ! eqratio( X, Y, Z, T, U, W, V0, V1 ), eqratio( X, Y, U, W, Z, T, V0, V1
% 0.68/1.12 ) }.
% 0.68/1.12 { ! eqratio( X, Y, Z, T, V2, V3, V4, V5 ), ! eqratio( V2, V3, V4, V5, U, W
% 0.68/1.12 , V0, V1 ), eqratio( X, Y, Z, T, U, W, V0, V1 ) }.
% 0.68/1.12 { ! simtri( X, Z, Y, T, W, U ), simtri( X, Y, Z, T, U, W ) }.
% 0.68/1.12 { ! simtri( Y, X, Z, U, T, W ), simtri( X, Y, Z, T, U, W ) }.
% 0.68/1.12 { ! simtri( T, U, W, X, Y, Z ), simtri( X, Y, Z, T, U, W ) }.
% 0.68/1.12 { ! simtri( X, Y, Z, V0, V1, V2 ), ! simtri( V0, V1, V2, T, U, W ), simtri
% 0.68/1.12 ( X, Y, Z, T, U, W ) }.
% 0.68/1.12 { ! contri( X, Z, Y, T, W, U ), contri( X, Y, Z, T, U, W ) }.
% 0.68/1.12 { ! contri( Y, X, Z, U, T, W ), contri( X, Y, Z, T, U, W ) }.
% 0.68/1.12 { ! contri( T, U, W, X, Y, Z ), contri( X, Y, Z, T, U, W ) }.
% 0.68/1.12 { ! contri( X, Y, Z, V0, V1, V2 ), ! contri( V0, V1, V2, T, U, W ), contri
% 0.68/1.12 ( X, Y, Z, T, U, W ) }.
% 0.68/1.12 { ! eqangle( X, Y, U, W, Z, T, U, W ), para( X, Y, Z, T ) }.
% 0.68/1.12 { ! para( X, Y, Z, T ), eqangle( X, Y, U, W, Z, T, U, W ) }.
% 0.68/1.12 { ! cyclic( X, Y, Z, T ), eqangle( Z, X, Z, Y, T, X, T, Y ) }.
% 0.68/1.12 { ! eqangle( Z, X, Z, Y, T, X, T, Y ), coll( Z, T, X ), cyclic( X, Y, Z, T
% 0.68/1.12 ) }.
% 0.68/1.12 { ! eqangle( Z, X, Z, Y, T, X, T, Y ), ! coll( Z, T, Y ), cyclic( X, Y, Z,
% 0.68/1.12 T ) }.
% 0.68/1.12 { ! cyclic( X, Y, U, Z ), ! cyclic( X, Y, U, T ), ! cyclic( X, Y, U, W ), !
% 0.68/1.12 eqangle( U, X, U, Y, W, Z, W, T ), cong( X, Y, Z, T ) }.
% 0.68/1.12 { ! midp( Z, U, X ), ! midp( T, U, Y ), para( Z, T, X, Y ) }.
% 0.68/1.12 { ! midp( U, X, T ), ! para( U, Z, T, Y ), ! coll( Z, X, Y ), midp( Z, X, Y
% 0.68/1.12 ) }.
% 0.68/1.12 { ! cong( Z, X, Z, Y ), eqangle( Z, X, X, Y, X, Y, Z, Y ) }.
% 0.68/1.12 { ! eqangle( Z, X, X, Y, X, Y, Z, Y ), coll( Z, X, Y ), cong( Z, X, Z, Y )
% 0.68/1.12 }.
% 0.68/1.12 { ! circle( U, X, Y, Z ), ! perp( U, X, X, T ), eqangle( X, T, X, Y, Z, X,
% 0.68/1.12 Z, Y ) }.
% 0.68/1.12 { ! circle( Y, X, T, U ), ! eqangle( X, Z, X, T, U, X, U, T ), perp( Y, X,
% 0.68/1.12 X, Z ) }.
% 0.68/1.12 { ! circle( T, X, Y, Z ), ! midp( U, Y, Z ), eqangle( X, Y, X, Z, T, Y, T,
% 0.68/1.12 U ) }.
% 0.68/1.12 { ! circle( U, T, X, Y ), ! coll( Z, X, Y ), ! eqangle( T, X, T, Y, U, X, U
% 0.68/1.12 , Z ), midp( Z, X, Y ) }.
% 0.68/1.12 { ! perp( X, Y, Y, T ), ! midp( Z, X, T ), cong( X, Z, Y, Z ) }.
% 0.68/1.12 { ! circle( T, X, Y, Z ), ! coll( T, X, Z ), perp( X, Y, Y, Z ) }.
% 0.68/1.12 { ! cyclic( X, Y, Z, T ), ! para( X, Y, Z, T ), eqangle( X, T, Z, T, Z, T,
% 0.68/1.12 Z, Y ) }.
% 0.68/1.12 { ! midp( T, X, Y ), ! perp( Z, T, X, Y ), cong( Z, X, Z, Y ) }.
% 0.68/1.12 { ! cong( X, Z, Y, Z ), ! cong( X, T, Y, T ), perp( X, Y, Z, T ) }.
% 0.68/1.12 { ! cong( X, Y, T, Y ), ! cong( X, Z, T, Z ), ! cyclic( X, T, Y, Z ), perp
% 0.68/1.12 ( Y, X, X, Z ) }.
% 0.68/1.12 { ! eqangle( X, Y, Y, Z, T, U, U, W ), ! eqangle( X, Z, Y, Z, T, W, U, W )
% 0.68/1.12 , coll( X, Y, Z ), simtri( X, Y, Z, T, U, W ) }.
% 0.68/1.12 { ! simtri( X, Y, Z, T, U, W ), eqratio( X, Y, X, Z, T, U, T, W ) }.
% 0.68/1.12 { ! simtri( X, Y, Z, T, U, W ), eqangle( X, Y, Y, Z, T, U, U, W ) }.
% 0.68/1.12 { ! simtri( X, Y, Z, T, U, W ), ! cong( X, Y, T, U ), contri( X, Y, Z, T, U
% 0.68/1.12 , W ) }.
% 0.68/1.12 { ! contri( X, Y, U, Z, T, W ), cong( X, Y, Z, T ) }.
% 0.68/1.12 { ! midp( U, X, Y ), ! midp( U, Z, T ), para( X, Z, Y, T ) }.
% 0.68/1.12 { ! midp( Z, T, U ), ! para( T, X, U, Y ), ! para( T, Y, U, X ), midp( Z, X
% 0.68/1.12 , Y ) }.
% 0.68/1.12 { ! para( X, Y, Z, T ), ! coll( U, X, Z ), ! coll( U, Y, T ), eqratio( U, X
% 0.68/1.12 , X, Z, U, Y, Y, T ) }.
% 0.68/1.12 { ! para( X, Y, X, Z ), coll( X, Y, Z ) }.
% 0.68/1.12 { ! cong( X, Y, X, Z ), ! coll( X, Y, Z ), midp( X, Y, Z ) }.
% 0.68/1.12 { ! midp( X, Y, Z ), cong( X, Y, X, Z ) }.
% 0.68/1.12 { ! midp( X, Y, Z ), coll( X, Y, Z ) }.
% 0.68/1.12 { ! midp( U, X, Y ), ! midp( W, Z, T ), eqratio( U, X, X, Y, W, Z, Z, T ) }
% 0.68/1.12 .
% 0.68/1.12 { ! eqangle( X, Y, Z, T, Z, T, X, Y ), para( X, Y, Z, T ), perp( X, Y, Z, T
% 0.68/1.12 ) }.
% 0.68/1.12 { ! eqangle( X, Y, Z, T, Z, T, X, Y ), perp( X, Y, Z, T ), para( X, Y, Z, T
% 0.68/1.12 ) }.
% 0.68/1.12 { ! eqangle( X, Y, Z, T, U, W, V0, V1 ), ! para( U, W, V0, V1 ), para( X, Y
% 0.68/1.12 , Z, T ) }.
% 0.68/1.12 { ! eqangle( X, Y, Z, T, U, W, V0, V1 ), ! perp( U, W, V0, V1 ), perp( X, Y
% 0.68/1.12 , Z, T ) }.
% 0.68/1.12 { ! eqratio( X, Y, Z, T, U, W, V0, V1 ), ! cong( U, W, V0, V1 ), cong( X, Y
% 0.68/1.12 , Z, T ) }.
% 0.68/1.12 { ! perp( Z, Y, Y, X ), ! eqangle( T, Z, Y, Z, Y, Z, X, Z ), coll( skol1( U
% 0.68/1.12 , W, Z, T ), Z, T ) }.
% 0.68/1.12 { ! perp( Z, Y, Y, X ), ! eqangle( T, Z, Y, Z, Y, Z, X, Z ), coll( skol1( X
% 0.68/1.12 , Y, Z, T ), X, Y ) }.
% 0.68/1.12 { ! cong( Z, X, Z, Y ), ! eqangle( X, Z, Z, T, Z, T, Z, Y ), coll( skol2( U
% 0.68/1.12 , W, Z, T ), Z, T ) }.
% 0.68/1.12 { ! cong( Z, X, Z, Y ), ! eqangle( X, Z, Z, T, Z, T, Z, Y ), coll( Y, X,
% 0.68/1.12 skol2( X, Y, Z, T ) ) }.
% 0.68/1.12 { ! perp( Z, T, X, Y ), ! eqangle( X, Z, Z, T, Z, T, Z, Y ), coll( skol3( U
% 0.68/1.12 , W, Z, T ), Z, T ) }.
% 0.68/1.12 { ! perp( Z, T, X, Y ), ! eqangle( X, Z, Z, T, Z, T, Z, Y ), coll( Y, X,
% 0.68/1.12 skol3( X, Y, Z, T ) ) }.
% 0.68/1.12 { ! perp( Z, T, X, Y ), ! cong( Z, X, Z, Y ), coll( skol4( U, W, Z, T ), Z
% 0.68/1.12 , T ) }.
% 0.68/1.12 { ! perp( Z, T, X, Y ), ! cong( Z, X, Z, Y ), coll( Y, X, skol4( X, Y, Z, T
% 0.68/1.12 ) ) }.
% 0.68/1.12 { ! eqangle( X, Z, Y, Z, X, T, Y, U ), coll( X, Y, Z ), cyclic( T, Y, Z,
% 0.68/1.12 skol5( W, Y, Z, T ) ) }.
% 0.68/1.12 { ! eqangle( X, Z, Y, Z, X, T, Y, U ), coll( X, Y, Z ), eqangle( X, Z, Y, Z
% 0.68/1.12 , X, skol5( X, Y, Z, T ), Y, skol5( X, Y, Z, T ) ) }.
% 0.68/1.12 { ! midp( U, X, Y ), ! midp( W, Z, T ), midp( skol6( X, V0, V1, T, V2, V3 )
% 0.68/1.12 , X, T ) }.
% 0.68/1.12 { ! midp( U, X, Y ), ! midp( W, Z, T ), para( skol6( X, V0, Z, T, V1, W ),
% 0.68/1.12 W, X, Z ) }.
% 0.68/1.12 { ! midp( U, X, Y ), ! midp( W, Z, T ), para( skol6( X, Y, Z, T, U, W ), U
% 0.68/1.12 , Y, T ) }.
% 0.68/1.12 { ! midp( Z, X, Y ), ! midp( W, T, U ), ! coll( T, X, Y ), ! coll( U, X, Y
% 0.68/1.12 ), midp( skol7( X, V0 ), X, V0 ) }.
% 0.68/1.12 { ! midp( T, X, U ), ! para( X, W, Z, T ), ! para( X, W, U, Y ), ! coll( W
% 0.68/1.12 , Y, Z ), coll( skol8( V0, V1, Z, T ), T, Z ) }.
% 0.68/1.12 { ! midp( T, X, U ), ! para( X, W, Z, T ), ! para( X, W, U, Y ), ! coll( W
% 0.68/1.12 , Y, Z ), coll( skol8( X, Y, Z, T ), X, Y ) }.
% 0.68/1.12 { ! cong( T, Z, T, U ), ! perp( X, Y, Y, T ), cong( T, Z, T, skol9( W, V0,
% 0.68/1.12 Z, T ) ) }.
% 0.68/1.12 { ! cong( T, Z, T, U ), ! perp( X, Y, Y, T ), cong( Y, Z, Y, skol9( W, Y, Z
% 0.68/1.12 , T ) ) }.
% 0.68/1.12 { ! cong( T, Z, T, U ), ! perp( X, Y, Y, T ), para( skol9( X, Y, Z, T ), Z
% 0.68/1.12 , X, Y ) }.
% 0.68/1.12 { ! perp( X, T, Y, Z ), ! perp( Y, T, X, Z ), coll( skol10( U, Y, Z ), Z, Y
% 0.68/1.12 ) }.
% 0.68/1.12 { ! perp( X, T, Y, Z ), ! perp( Y, T, X, Z ), perp( X, skol10( X, Y, Z ), Z
% 0.68/1.12 , Y ) }.
% 0.68/1.12 { ! perp( X, T, Y, Z ), ! perp( Y, T, X, Z ), alpha1( X, Y, Z ) }.
% 0.68/1.12 { ! alpha1( X, Y, Z ), coll( skol11( X, T, Z ), Z, X ) }.
% 0.68/1.12 { ! alpha1( X, Y, Z ), perp( Y, skol11( X, Y, Z ), Z, X ) }.
% 0.68/1.12 { ! coll( T, Z, X ), ! perp( Y, T, Z, X ), alpha1( X, Y, Z ) }.
% 0.68/1.12 { ! circle( Y, X, Z, T ), perp( skol12( X, Y ), X, X, Y ) }.
% 4.40/4.82 { ! circle( W, X, Y, Z ), ! cong( W, X, W, T ), ! cong( U, X, U, Y ), W = U
% 4.40/4.82 , alpha2( X, Z, U, skol13( X, V0, Z, V1, U ) ) }.
% 4.40/4.82 { ! circle( W, X, Y, Z ), ! cong( W, X, W, T ), ! cong( U, X, U, Y ), W = U
% 4.40/4.82 , coll( skol21( V0, Y, T, V1 ), Y, T ) }.
% 4.40/4.82 { ! circle( W, X, Y, Z ), ! cong( W, X, W, T ), ! cong( U, X, U, Y ), W = U
% 4.40/4.82 , cong( skol21( X, Y, T, U ), U, U, X ) }.
% 4.40/4.82 { ! alpha2( X, Y, Z, T ), coll( T, X, Y ) }.
% 4.40/4.82 { ! alpha2( X, Y, Z, T ), cong( T, Z, Z, X ) }.
% 4.40/4.82 { ! coll( T, X, Y ), ! cong( T, Z, Z, X ), alpha2( X, Y, Z, T ) }.
% 4.40/4.82 { ! cyclic( X, Y, Z, T ), ! para( X, Y, Z, T ), ! midp( U, X, Y ), circle(
% 4.40/4.82 skol14( X, Y, Z ), X, Y, Z ) }.
% 4.40/4.82 { ! perp( X, Z, Z, Y ), ! cyclic( X, Y, Z, T ), circle( skol15( X, Y, Z ),
% 4.40/4.82 X, Y, Z ) }.
% 4.40/4.82 { ! perp( X, U, U, T ), ! coll( T, Y, Z ), coll( skol16( W, Y, Z ), Y, Z )
% 4.40/4.82 }.
% 4.40/4.82 { ! perp( X, U, U, T ), ! coll( T, Y, Z ), perp( skol16( X, Y, Z ), X, Y, Z
% 4.40/4.82 ) }.
% 4.40/4.82 { ! perp( X, Z, X, Y ), ! perp( Y, X, Y, T ), ! midp( U, Z, T ), midp(
% 4.40/4.82 skol17( X, Y ), X, Y ) }.
% 4.40/4.82 { ! cong( Y, X, Y, Z ), ! perp( X, Y, Y, Z ), coll( X, Y, skol18( X, Y ) )
% 4.40/4.82 }.
% 4.40/4.82 { ! cong( Y, X, Y, Z ), ! perp( X, Y, Y, Z ), cong( Y, X, Y, skol18( X, Y )
% 4.40/4.82 ) }.
% 4.40/4.82 { ! para( U, W, X, Y ), ! coll( Z, U, X ), ! coll( Z, W, Y ), ! coll( T, U
% 4.40/4.82 , W ), coll( Z, T, skol19( V0, V1, Z, T ) ) }.
% 4.40/4.82 { ! para( U, W, X, Y ), ! coll( Z, U, X ), ! coll( Z, W, Y ), ! coll( T, U
% 4.40/4.82 , W ), coll( skol19( X, Y, Z, T ), X, Y ) }.
% 4.40/4.82 { perp( skol20, skol25, skol26, skol27 ) }.
% 4.40/4.82 { coll( skol20, skol26, skol27 ) }.
% 4.40/4.82 { perp( skol22, skol26, skol25, skol27 ) }.
% 4.40/4.82 { coll( skol22, skol25, skol27 ) }.
% 4.40/4.82 { coll( skol23, skol25, skol20 ) }.
% 4.40/4.82 { coll( skol23, skol26, skol22 ) }.
% 4.40/4.82 { perp( skol24, skol23, skol25, skol26 ) }.
% 4.40/4.82 { coll( skol24, skol25, skol26 ) }.
% 4.40/4.82 { ! eqangle( skol22, skol24, skol24, skol23, skol23, skol24, skol24, skol20
% 4.40/4.82 ) }.
% 4.40/4.82
% 4.40/4.82 percentage equality = 0.008746, percentage horn = 0.928000
% 4.40/4.82 This is a problem with some equality
% 4.40/4.82
% 4.40/4.82
% 4.40/4.82
% 4.40/4.82 Options Used:
% 4.40/4.82
% 4.40/4.82 useres = 1
% 4.40/4.82 useparamod = 1
% 4.40/4.82 useeqrefl = 1
% 4.40/4.82 useeqfact = 1
% 4.40/4.82 usefactor = 1
% 4.40/4.82 usesimpsplitting = 0
% 4.40/4.82 usesimpdemod = 5
% 4.40/4.82 usesimpres = 3
% 4.40/4.82
% 4.40/4.82 resimpinuse = 1000
% 4.40/4.82 resimpclauses = 20000
% 4.40/4.82 substype = eqrewr
% 4.40/4.82 backwardsubs = 1
% 4.40/4.82 selectoldest = 5
% 4.40/4.82
% 4.40/4.82 litorderings [0] = split
% 4.40/4.82 litorderings [1] = extend the termordering, first sorting on arguments
% 4.40/4.82
% 4.40/4.82 termordering = kbo
% 4.40/4.82
% 4.40/4.82 litapriori = 0
% 4.40/4.82 termapriori = 1
% 4.40/4.82 litaposteriori = 0
% 4.40/4.82 termaposteriori = 0
% 4.40/4.82 demodaposteriori = 0
% 4.40/4.82 ordereqreflfact = 0
% 4.40/4.82
% 4.40/4.82 litselect = negord
% 4.40/4.82
% 4.40/4.82 maxweight = 15
% 4.40/4.82 maxdepth = 30000
% 4.40/4.82 maxlength = 115
% 4.40/4.82 maxnrvars = 195
% 4.40/4.82 excuselevel = 1
% 4.40/4.82 increasemaxweight = 1
% 4.40/4.82
% 4.40/4.82 maxselected = 10000000
% 4.40/4.82 maxnrclauses = 10000000
% 4.40/4.82
% 4.40/4.82 showgenerated = 0
% 4.40/4.82 showkept = 0
% 4.40/4.82 showselected = 0
% 4.40/4.82 showdeleted = 0
% 4.40/4.82 showresimp = 1
% 4.40/4.82 showstatus = 2000
% 4.40/4.82
% 4.40/4.82 prologoutput = 0
% 4.40/4.82 nrgoals = 5000000
% 4.40/4.82 totalproof = 1
% 4.40/4.82
% 4.40/4.82 Symbols occurring in the translation:
% 4.40/4.82
% 4.40/4.82 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 4.40/4.82 . [1, 2] (w:1, o:36, a:1, s:1, b:0),
% 4.40/4.82 ! [4, 1] (w:0, o:31, a:1, s:1, b:0),
% 4.40/4.82 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 4.40/4.82 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 4.40/4.82 coll [38, 3] (w:1, o:64, a:1, s:1, b:0),
% 4.40/4.82 para [40, 4] (w:1, o:72, a:1, s:1, b:0),
% 4.40/4.82 perp [43, 4] (w:1, o:73, a:1, s:1, b:0),
% 4.40/4.82 midp [45, 3] (w:1, o:65, a:1, s:1, b:0),
% 4.40/4.82 cong [47, 4] (w:1, o:74, a:1, s:1, b:0),
% 4.40/4.82 circle [48, 4] (w:1, o:75, a:1, s:1, b:0),
% 4.40/4.82 cyclic [49, 4] (w:1, o:76, a:1, s:1, b:0),
% 4.40/4.82 eqangle [54, 8] (w:1, o:91, a:1, s:1, b:0),
% 4.40/4.82 eqratio [57, 8] (w:1, o:92, a:1, s:1, b:0),
% 4.40/4.82 simtri [59, 6] (w:1, o:88, a:1, s:1, b:0),
% 4.40/4.82 contri [60, 6] (w:1, o:89, a:1, s:1, b:0),
% 4.40/4.82 alpha1 [64, 3] (w:1, o:66, a:1, s:1, b:1),
% 4.40/4.82 alpha2 [65, 4] (w:1, o:77, a:1, s:1, b:1),
% 4.40/4.82 skol1 [66, 4] (w:1, o:78, a:1, s:1, b:1),
% 4.40/4.82 skol2 [67, 4] (w:1, o:80, a:1, s:1, b:1),
% 4.40/4.82 skol3 [68, 4] (w:1, o:82, a:1, s:1, b:1),
% 4.40/4.82 skol4 [69, 4] (w:1, o:83, a:1, s:1, b:1),
% 4.40/4.82 skol5 [70, 4] (w:1, o:84, a:1, s:1, b:1),
% 4.40/4.82 skol6 [71, 6] (w:1, o:90, a:1, s:1, b:1),
% 17.02/17.46 skol7 [72, 2] (w:1, o:60, a:1, s:1, b:1),
% 17.02/17.46 skol8 [73, 4] (w:1, o:85, a:1, s:1, b:1),
% 17.02/17.46 skol9 [74, 4] (w:1, o:86, a:1, s:1, b:1),
% 17.02/17.46 skol10 [75, 3] (w:1, o:67, a:1, s:1, b:1),
% 17.02/17.46 skol11 [76, 3] (w:1, o:68, a:1, s:1, b:1),
% 17.02/17.46 skol12 [77, 2] (w:1, o:61, a:1, s:1, b:1),
% 17.02/17.46 skol13 [78, 5] (w:1, o:87, a:1, s:1, b:1),
% 17.02/17.46 skol14 [79, 3] (w:1, o:69, a:1, s:1, b:1),
% 17.02/17.46 skol15 [80, 3] (w:1, o:70, a:1, s:1, b:1),
% 17.02/17.46 skol16 [81, 3] (w:1, o:71, a:1, s:1, b:1),
% 17.02/17.46 skol17 [82, 2] (w:1, o:62, a:1, s:1, b:1),
% 17.02/17.46 skol18 [83, 2] (w:1, o:63, a:1, s:1, b:1),
% 17.02/17.46 skol19 [84, 4] (w:1, o:79, a:1, s:1, b:1),
% 17.02/17.46 skol20 [85, 0] (w:1, o:24, a:1, s:1, b:1),
% 17.02/17.46 skol21 [86, 4] (w:1, o:81, a:1, s:1, b:1),
% 17.02/17.46 skol22 [87, 0] (w:1, o:25, a:1, s:1, b:1),
% 17.02/17.46 skol23 [88, 0] (w:1, o:26, a:1, s:1, b:1),
% 17.02/17.46 skol24 [89, 0] (w:1, o:27, a:1, s:1, b:1),
% 17.02/17.46 skol25 [90, 0] (w:1, o:28, a:1, s:1, b:1),
% 17.02/17.46 skol26 [91, 0] (w:1, o:29, a:1, s:1, b:1),
% 17.02/17.46 skol27 [92, 0] (w:1, o:30, a:1, s:1, b:1).
% 17.02/17.46
% 17.02/17.46
% 17.02/17.46 Starting Search:
% 17.02/17.46
% 17.02/17.46 *** allocated 15000 integers for clauses
% 17.02/17.46 *** allocated 22500 integers for clauses
% 17.02/17.46 *** allocated 33750 integers for clauses
% 17.02/17.46 *** allocated 50625 integers for clauses
% 17.02/17.46 *** allocated 22500 integers for termspace/termends
% 17.02/17.46 *** allocated 75937 integers for clauses
% 17.02/17.46 Resimplifying inuse:
% 17.02/17.46 Done
% 17.02/17.46
% 17.02/17.46 *** allocated 33750 integers for termspace/termends
% 17.02/17.46 *** allocated 113905 integers for clauses
% 17.02/17.46 *** allocated 50625 integers for termspace/termends
% 17.02/17.46
% 17.02/17.46 Intermediate Status:
% 17.02/17.46 Generated: 9047
% 17.02/17.46 Kept: 2001
% 17.02/17.46 Inuse: 311
% 17.02/17.46 Deleted: 0
% 17.02/17.46 Deletedinuse: 0
% 17.02/17.46
% 17.02/17.46 Resimplifying inuse:
% 17.02/17.46 Done
% 17.02/17.46
% 17.02/17.46 *** allocated 170857 integers for clauses
% 17.02/17.46 *** allocated 75937 integers for termspace/termends
% 17.02/17.46 Resimplifying inuse:
% 17.02/17.46 Done
% 17.02/17.46
% 17.02/17.46 *** allocated 256285 integers for clauses
% 17.02/17.46 *** allocated 113905 integers for termspace/termends
% 17.02/17.46
% 17.02/17.46 Intermediate Status:
% 17.02/17.46 Generated: 26970
% 17.02/17.46 Kept: 4004
% 17.02/17.46 Inuse: 461
% 17.02/17.46 Deleted: 1
% 17.02/17.46 Deletedinuse: 1
% 17.02/17.46
% 17.02/17.46 Resimplifying inuse:
% 17.02/17.46 Done
% 17.02/17.46
% 17.02/17.46 Resimplifying inuse:
% 17.02/17.46 Done
% 17.02/17.46
% 17.02/17.46 *** allocated 384427 integers for clauses
% 17.02/17.46 *** allocated 170857 integers for termspace/termends
% 17.02/17.46
% 17.02/17.46 Intermediate Status:
% 17.02/17.46 Generated: 39562
% 17.02/17.46 Kept: 6138
% 17.02/17.46 Inuse: 531
% 17.02/17.46 Deleted: 1
% 17.02/17.46 Deletedinuse: 1
% 17.02/17.46
% 17.02/17.46 Resimplifying inuse:
% 17.02/17.46 Done
% 17.02/17.46
% 17.02/17.46 Resimplifying inuse:
% 17.02/17.46 Done
% 17.02/17.46
% 17.02/17.46 *** allocated 576640 integers for clauses
% 17.02/17.46
% 17.02/17.46 Intermediate Status:
% 17.02/17.46 Generated: 55233
% 17.02/17.46 Kept: 8158
% 17.02/17.46 Inuse: 682
% 17.02/17.46 Deleted: 2
% 17.02/17.46 Deletedinuse: 1
% 17.02/17.46
% 17.02/17.46 Resimplifying inuse:
% 17.02/17.46 Done
% 17.02/17.46
% 17.02/17.46 *** allocated 256285 integers for termspace/termends
% 17.02/17.46 Resimplifying inuse:
% 17.02/17.46 Done
% 17.02/17.46
% 17.02/17.46
% 17.02/17.46 Intermediate Status:
% 17.02/17.46 Generated: 77159
% 17.02/17.46 Kept: 10158
% 17.02/17.46 Inuse: 778
% 17.02/17.46 Deleted: 5
% 17.02/17.46 Deletedinuse: 3
% 17.02/17.46
% 17.02/17.46 Resimplifying inuse:
% 17.02/17.46 Done
% 17.02/17.46
% 17.02/17.46 Resimplifying inuse:
% 17.02/17.46 Done
% 17.02/17.46
% 17.02/17.46 *** allocated 864960 integers for clauses
% 17.02/17.46
% 17.02/17.46 Intermediate Status:
% 17.02/17.46 Generated: 92574
% 17.02/17.46 Kept: 12532
% 17.02/17.46 Inuse: 869
% 17.02/17.46 Deleted: 6
% 17.02/17.46 Deletedinuse: 4
% 17.02/17.46
% 17.02/17.46 Resimplifying inuse:
% 17.02/17.46 Done
% 17.02/17.46
% 17.02/17.46 Resimplifying inuse:
% 17.02/17.46 Done
% 17.02/17.46
% 17.02/17.46
% 17.02/17.46 Intermediate Status:
% 17.02/17.46 Generated: 106920
% 17.02/17.46 Kept: 14561
% 17.02/17.46 Inuse: 942
% 17.02/17.46 Deleted: 8
% 17.02/17.46 Deletedinuse: 4
% 17.02/17.46
% 17.02/17.46 Resimplifying inuse:
% 17.02/17.46 Done
% 17.02/17.46
% 17.02/17.46 *** allocated 384427 integers for termspace/termends
% 17.02/17.46 Resimplifying inuse:
% 17.02/17.46 Done
% 17.02/17.46
% 17.02/17.46
% 17.02/17.46 Intermediate Status:
% 17.02/17.46 Generated: 123827
% 17.02/17.46 Kept: 16563
% 17.02/17.46 Inuse: 1078
% 17.02/17.46 Deleted: 8
% 17.02/17.46 Deletedinuse: 4
% 17.02/17.46
% 17.02/17.46 Resimplifying inuse:
% 17.02/17.46 Done
% 17.02/17.46
% 17.02/17.46 Resimplifying inuse:
% 17.02/17.46 Done
% 17.02/17.46
% 17.02/17.46
% 17.02/17.46 Intermediate Status:
% 17.02/17.46 Generated: 139249
% 17.02/17.46 Kept: 18569
% 17.02/17.46 Inuse: 1174
% 17.02/17.46 Deleted: 13
% 17.02/17.46 Deletedinuse: 5
% 17.02/17.46
% 17.02/17.46 Resimplifying inuse:
% 17.02/17.46 Done
% 17.02/17.46
% 17.02/17.46 *** allocated 1297440 integers for clauses
% 17.02/17.46 Resimplifying inuse:
% 17.02/17.46 Done
% 17.02/17.46
% 17.02/17.46 Resimplifying clauses:
% 17.02/17.46 Done
% 17.02/17.46
% 17.02/17.46
% 17.02/17.46 Intermediate Status:
% 17.02/17.46 Generated: 151131
% 17.02/17.46 Kept: 20589
% 17.02/17.46 Inuse: 1311
% 17.02/17.46 Deleted: 1265
% 17.02/17.46 Deletedinuse: 8
% 17.02/17.46
% 17.02/17.46 Resimplifying inuse:
% 17.02/17.46 Done
% 17.02/17.46
% 17.02/17.46 Resimplifying inuse:
% 17.02/17.46 Done
% 17.02/17.46
% 17.02/17.46
% 17.02/17.46 Intermediate Status:
% 17.02/17.46 Generated: 165361
% 17.02/17.46 Kept: 22598
% 17.02/17.46 Inuse: 1434
% 17.02/17.46 Deleted: 1265
% 17.02/17.46 Deletedinuse: 8
% 17.02/17.46
% 17.02/17.46 Resimplifying inuse:
% 17.02/17.46 Done
% 17.02/17.46
% 17.02/17.46 Resimplifying inuse:
% 17.02/17.46 Done
% 17.02/17.46
% 17.02/17.46
% 17.02/17.46 Intermediate Status:
% 17.02/17.46 Generated: 178720
% 17.02/17.46 Kept: 24625
% 17.02/17.46 Inuse: 1559
% 17.02/17.46 Deleted: 1265
% 17.02/17.46 Deletedinuse: 8
% 17.02/17.46
% 17.02/17.46 Resimplifying inuse:
% 17.02/17.46 Done
% 17.02/17.46
% 17.02/17.46 *** allocated 576640 integers for termspace/termends
% 17.02/17.46 Resimplifying inuse:
% 17.02/17.46 Done
% 17.02/17.46
% 17.02/17.46
% 17.02/17.46 Intermediate Status:
% 17.02/17.46 Generated: 194707
% 17.02/17.46 Kept: 26632
% 17.02/17.46 Inuse: 1686
% 17.02/17.46 Deleted: 1266
% 17.02/17.46 Deletedinuse: 9
% 17.02/17.46
% 17.02/17.46 Resimplifying inuse:
% 17.02/17.46 Done
% 17.02/17.46
% 17.02/17.46 Resimplifying inuse:
% 17.02/17.46 Done
% 17.02/17.46
% 17.02/17.46 *** allocated 1946160 integers for clauses
% 17.02/17.46
% 17.02/17.46 Intermediate Status:
% 17.02/17.46 Generated: 214401
% 17.02/17.46 Kept: 28638
% 17.02/17.46 Inuse: 1855
% 17.02/17.46 Deleted: 1284
% 17.02/17.46 Deletedinuse: 26
% 17.02/17.46
% 17.02/17.46 Resimplifying inuse:
% 17.02/17.46 Done
% 17.02/17.46
% 17.02/17.46 Resimplifying inuse:
% 17.02/17.46 Done
% 17.02/17.46
% 17.02/17.46
% 17.02/17.46 Intermediate Status:
% 17.02/17.46 Generated: 232714
% 17.02/17.46 Kept: 30644
% 17.02/17.46 Inuse: 2032
% 17.02/17.46 Deleted: 1298
% 17.02/17.46 Deletedinuse: 40
% 17.02/17.46
% 17.02/17.46 Resimplifying inuse:
% 17.02/17.46 Done
% 17.02/17.46
% 17.02/17.46 Resimplifying inuse:
% 17.02/17.46 Done
% 17.02/17.46
% 17.02/17.46
% 17.02/17.46 Intermediate Status:
% 17.02/17.46 Generated: 250495
% 17.02/17.46 Kept: 32647
% 17.02/17.46 Inuse: 2196
% 17.02/17.46 Deleted: 1316
% 17.02/17.46 Deletedinuse: 58
% 17.02/17.46
% 17.02/17.46 Resimplifying inuse:
% 17.02/17.46 Done
% 17.02/17.46
% 17.02/17.46 Resimplifying inuse:
% 17.02/17.46 Done
% 17.02/17.46
% 17.02/17.46
% 17.02/17.46 Intermediate Status:
% 17.02/17.46 Generated: 267648
% 17.02/17.46 Kept: 34650
% 17.02/17.46 Inuse: 2356
% 17.02/17.46 Deleted: 1342
% 17.02/17.46 Deletedinuse: 84
% 17.02/17.46
% 17.02/17.46 Resimplifying inuse:
% 17.02/17.46 Done
% 17.02/17.46
% 17.02/17.46 Resimplifying inuse:
% 17.02/17.46 Done
% 17.02/17.46
% 17.02/17.46
% 17.02/17.46 Intermediate Status:
% 17.02/17.46 Generated: 287349
% 17.02/17.46 Kept: 36661
% 17.02/17.46 Inuse: 2560
% 17.02/17.46 Deleted: 1372
% 17.02/17.46 Deletedinuse: 114
% 17.02/17.46
% 17.02/17.46 Resimplifying inuse:
% 17.02/17.46 Done
% 17.02/17.46
% 17.02/17.46
% 17.02/17.46 Intermediate Status:
% 17.02/17.46 Generated: 294698
% 17.02/17.46 Kept: 39795
% 17.02/17.46 Inuse: 2587
% 17.02/17.46 Deleted: 1374
% 17.02/17.46 Deletedinuse: 116
% 17.02/17.46
% 17.02/17.46 Resimplifying inuse:
% 17.02/17.46 Done
% 17.02/17.46
% 17.02/17.46 Resimplifying clauses:
% 17.02/17.46 Done
% 17.02/17.46
% 17.02/17.46 *** allocated 864960 integers for termspace/termends
% 17.02/17.46
% 17.02/17.46 Intermediate Status:
% 17.02/17.46 Generated: 305782
% 17.02/17.46 Kept: 43651
% 17.02/17.46 Inuse: 2642
% 17.02/17.46 Deleted: 4381
% 17.02/17.46 Deletedinuse: 116
% 17.02/17.46
% 17.02/17.46 Resimplifying inuse:
% 17.02/17.46 Done
% 17.02/17.46
% 17.02/17.46 *** allocated 2919240 integers for clauses
% 17.02/17.46
% 17.02/17.46 Intermediate Status:
% 17.02/17.46 Generated: 317020
% 17.02/17.46 Kept: 47275
% 17.02/17.46 Inuse: 2657
% 17.02/17.46 Deleted: 4385
% 17.02/17.46 Deletedinuse: 120
% 17.02/17.46
% 17.02/17.46 Resimplifying inuse:
% 17.02/17.46 Done
% 17.02/17.46
% 17.02/17.46 Resimplifying inuse:
% 17.02/17.46 Done
% 17.02/17.46
% 17.02/17.46
% 17.02/17.46 Intermediate Status:
% 17.02/17.46 Generated: 339806
% 17.02/17.46 Kept: 49275
% 17.02/17.46 Inuse: 2741
% 17.02/17.46 Deleted: 4395
% 17.02/17.46 Deletedinuse: 128
% 17.02/17.46
% 17.02/17.46 Resimplifying inuse:
% 17.02/17.46 Done
% 17.02/17.46
% 17.02/17.46
% 17.02/17.46 Intermediate Status:
% 17.02/17.46 Generated: 348202
% 17.02/17.46 Kept: 52753
% 17.02/17.46 Inuse: 2754
% 17.02/17.46 Deleted: 4399
% 17.02/17.46 Deletedinuse: 131
% 17.02/17.46
% 17.02/17.46 Resimplifying inuse:
% 17.02/17.46 Done
% 17.02/17.46
% 17.02/17.46 Resimplifying inuse:
% 17.02/17.46 Done
% 17.02/17.46
% 17.02/17.46
% 17.02/17.46 Intermediate Status:
% 17.02/17.46 Generated: 374232
% 17.02/17.46 Kept: 54765
% 17.02/17.46 Inuse: 2930
% 17.02/17.46 Deleted: 4406
% 17.02/17.46 Deletedinuse: 135
% 17.02/17.46
% 17.02/17.46 Resimplifying inuse:
% 17.02/17.46 Done
% 17.02/17.46
% 17.02/17.46 Resimplifying inuse:
% 17.02/17.46 Done
% 17.02/17.46
% 17.02/17.46
% 17.02/17.46 Intermediate Status:
% 17.02/17.46 Generated: 389308
% 17.02/17.46 Kept: 56770
% 17.02/17.46 Inuse: 3080
% 17.02/17.46 Deleted: 4576
% 17.02/17.46 Deletedinuse: 255
% 17.02/17.46
% 17.02/17.46 Resimplifying inuse:
% 17.02/17.46 Done
% 17.02/17.46
% 17.02/17.46 Resimplifying inuse:
% 17.02/17.46 Done
% 17.02/17.46
% 17.02/17.46
% 17.02/17.46 Intermediate Status:
% 17.02/17.46 Generated: 432088
% 17.02/17.46 Kept: 58775
% 17.02/17.46 Inuse: 3214
% 17.02/17.46 Deleted: 4610
% 17.02/17.46 Deletedinuse: 255
% 17.02/17.46
% 17.02/17.46 Resimplifying inuse:
% 17.02/17.46 Done
% 17.02/17.46
% 17.02/17.46 Resimplifying inuse:
% 17.02/17.46 Done
% 17.02/17.46
% 17.02/17.46 Resimplifying clauses:
% 17.02/17.46 Done
% 17.02/17.46
% 17.02/17.46
% 17.02/17.46 Intermediate Status:
% 17.02/17.46 Generated: 473850
% 17.02/17.46 Kept: 61281
% 17.02/17.46 Inuse: 3313
% 17.02/17.46 Deleted: 34409
% 17.02/17.46 Deletedinuse: 255
% 17.02/17.46
% 17.02/17.46 Resimplifying inuse:
% 17.02/17.46 Done
% 17.02/17.46
% 17.02/17.46 Resimplifying inuse:
% 17.02/17.46 Done
% 17.02/17.46
% 17.02/17.46
% 17.02/17.46 Bliksems!, er is een bewijs:
% 17.02/17.46 % SZS status Theorem
% 17.02/17.46 % SZS output start Refutation
% 17.02/17.46
% 17.02/17.46 (0) {G0,W8,D2,L2,V3,M2} I { ! coll( X, Y, Z ), coll( X, Z, Y ) }.
% 17.02/17.46 (1) {G0,W8,D2,L2,V3,M2} I { ! coll( X, Y, Z ), coll( Y, X, Z ) }.
% 17.02/17.46 (2) {G0,W12,D2,L3,V4,M3} I { ! coll( X, T, Y ), ! coll( X, T, Z ), coll( Y
% 17.02/17.46 , Z, X ) }.
% 17.02/17.46 (4) {G0,W10,D2,L2,V4,M2} I { ! para( X, Y, Z, T ), para( Z, T, X, Y ) }.
% 17.02/17.46 (6) {G0,W10,D2,L2,V4,M2} I { ! perp( X, Y, Z, T ), perp( X, Y, T, Z ) }.
% 17.02/17.46 (7) {G0,W10,D2,L2,V4,M2} I { ! perp( X, Y, Z, T ), perp( Z, T, X, Y ) }.
% 17.02/17.46 (8) {G0,W15,D2,L3,V6,M3} I { ! perp( X, Y, U, W ), ! perp( U, W, Z, T ),
% 17.02/17.46 para( X, Y, Z, T ) }.
% 17.02/17.46 (13) {G0,W10,D2,L2,V4,M2} I { ! cyclic( X, Y, Z, T ), cyclic( X, Y, T, Z )
% 17.02/17.46 }.
% 17.02/17.46 (14) {G0,W10,D2,L2,V4,M2} I { ! cyclic( X, Y, Z, T ), cyclic( X, Z, Y, T )
% 17.02/17.46 }.
% 17.02/17.46 (15) {G0,W10,D2,L2,V4,M2} I { ! cyclic( X, Y, Z, T ), cyclic( Y, X, Z, T )
% 17.02/17.46 }.
% 17.02/17.46 (16) {G0,W15,D2,L3,V5,M3} I { ! cyclic( U, X, Y, Z ), ! cyclic( U, X, Y, T
% 17.02/17.46 ), cyclic( X, Y, Z, T ) }.
% 17.02/17.46 (18) {G0,W18,D2,L2,V8,M2} I { ! eqangle( X, Y, Z, T, U, W, V0, V1 ),
% 17.02/17.46 eqangle( Z, T, X, Y, V0, V1, U, W ) }.
% 17.02/17.46 (20) {G0,W18,D2,L2,V8,M2} I { ! eqangle( X, Y, Z, T, U, W, V0, V1 ),
% 17.02/17.46 eqangle( X, Y, U, W, Z, T, V0, V1 ) }.
% 17.02/17.46 (21) {G0,W27,D2,L3,V12,M3} I { ! eqangle( X, Y, Z, T, V2, V3, V4, V5 ), !
% 17.02/17.46 eqangle( V2, V3, V4, V5, U, W, V0, V1 ), eqangle( X, Y, Z, T, U, W, V0,
% 17.02/17.46 V1 ) }.
% 17.02/17.46 (23) {G0,W10,D2,L2,V4,M2} I { ! cong( X, Y, Z, T ), cong( Z, T, X, Y ) }.
% 17.02/17.46 (38) {G0,W14,D2,L2,V6,M2} I { ! eqangle( X, Y, U, W, Z, T, U, W ), para( X
% 17.02/17.46 , Y, Z, T ) }.
% 17.02/17.46 (39) {G0,W14,D2,L2,V6,M2} I { ! para( X, Y, Z, T ), eqangle( X, Y, U, W, Z
% 17.02/17.46 , T, U, W ) }.
% 17.02/17.46 (40) {G0,W14,D2,L2,V4,M2} I { ! cyclic( X, Y, Z, T ), eqangle( Z, X, Z, Y,
% 17.02/17.46 T, X, T, Y ) }.
% 17.02/17.46 (42) {G0,W18,D2,L3,V4,M3} I { ! eqangle( Z, X, Z, Y, T, X, T, Y ), ! coll(
% 17.02/17.46 Z, T, Y ), cyclic( X, Y, Z, T ) }.
% 17.02/17.46 (43) {G0,W29,D2,L5,V6,M5} I { ! cyclic( X, Y, U, Z ), ! cyclic( X, Y, U, T
% 17.02/17.46 ), ! cyclic( X, Y, U, W ), ! eqangle( U, X, U, Y, W, Z, W, T ), cong( X
% 17.02/17.46 , Y, Z, T ) }.
% 17.02/17.46 (52) {G0,W14,D2,L3,V4,M3} I { ! perp( X, Y, Y, T ), ! midp( Z, X, T ), cong
% 17.02/17.46 ( X, Z, Y, Z ) }.
% 17.02/17.46 (56) {G0,W15,D2,L3,V4,M3} I { ! cong( X, Z, Y, Z ), ! cong( X, T, Y, T ),
% 17.02/17.46 perp( X, Y, Z, T ) }.
% 17.02/17.46 (57) {G0,W20,D2,L4,V4,M4} I { ! cong( X, Y, T, Y ), ! cong( X, Z, T, Z ), !
% 17.02/17.46 cyclic( X, T, Y, Z ), perp( Y, X, X, Z ) }.
% 17.02/17.46 (66) {G0,W9,D2,L2,V3,M2} I { ! para( X, Y, X, Z ), coll( X, Y, Z ) }.
% 17.02/17.46 (67) {G0,W13,D2,L3,V3,M3} I { ! cong( X, Y, X, Z ), ! coll( X, Y, Z ), midp
% 17.02/17.46 ( X, Y, Z ) }.
% 17.02/17.46 (118) {G0,W5,D2,L1,V0,M1} I { perp( skol22, skol26, skol25, skol27 ) }.
% 17.02/17.46 (121) {G0,W4,D2,L1,V0,M1} I { coll( skol23, skol26, skol22 ) }.
% 17.02/17.46 (124) {G0,W9,D2,L1,V0,M1} I { ! eqangle( skol22, skol24, skol24, skol23,
% 17.02/17.46 skol23, skol24, skol24, skol20 ) }.
% 17.02/17.46 (165) {G1,W4,D2,L1,V0,M1} R(0,121) { coll( skol23, skol22, skol26 ) }.
% 17.02/17.46 (167) {G2,W4,D2,L1,V0,M1} R(1,165) { coll( skol22, skol23, skol26 ) }.
% 17.02/17.46 (203) {G1,W12,D2,L3,V4,M3} R(2,0) { ! coll( X, Y, Z ), ! coll( X, Y, T ),
% 17.02/17.46 coll( Z, X, T ) }.
% 17.02/17.46 (214) {G2,W8,D2,L2,V3,M2} F(203) { ! coll( X, Y, Z ), coll( Z, X, Z ) }.
% 17.02/17.46 (271) {G1,W5,D2,L1,V0,M1} R(7,118) { perp( skol25, skol27, skol22, skol26 )
% 17.02/17.46 }.
% 17.02/17.46 (276) {G2,W5,D2,L1,V0,M1} R(271,6) { perp( skol25, skol27, skol26, skol22 )
% 17.02/17.46 }.
% 17.02/17.46 (277) {G3,W5,D2,L1,V0,M1} R(276,7) { perp( skol26, skol22, skol25, skol27 )
% 17.02/17.46 }.
% 17.02/17.46 (278) {G4,W5,D2,L1,V0,M1} R(277,6) { perp( skol26, skol22, skol27, skol25 )
% 17.02/17.46 }.
% 17.02/17.46 (279) {G5,W5,D2,L1,V0,M1} R(278,7) { perp( skol27, skol25, skol26, skol22 )
% 17.02/17.46 }.
% 17.02/17.46 (280) {G5,W10,D2,L2,V2,M2} R(8,278) { ! perp( skol27, skol25, X, Y ), para
% 17.02/17.46 ( skol26, skol22, X, Y ) }.
% 17.02/17.46 (300) {G1,W15,D2,L3,V6,M3} R(8,4) { ! perp( X, Y, Z, T ), ! perp( Z, T, U,
% 17.02/17.46 W ), para( U, W, X, Y ) }.
% 17.02/17.46 (406) {G3,W4,D2,L1,V0,M1} R(214,167) { coll( skol26, skol22, skol26 ) }.
% 17.02/17.46 (432) {G1,W10,D2,L2,V4,M2} R(14,13) { ! cyclic( X, Y, Z, T ), cyclic( X, Z
% 17.02/17.46 , T, Y ) }.
% 17.02/17.46 (440) {G1,W10,D2,L2,V4,M2} R(15,14) { cyclic( X, Y, Z, T ), ! cyclic( Y, Z
% 17.02/17.46 , X, T ) }.
% 17.02/17.46 (442) {G1,W10,D2,L2,V4,M2} R(15,13) { cyclic( X, Y, Z, T ), ! cyclic( Y, X
% 17.02/17.46 , T, Z ) }.
% 17.02/17.46 (460) {G1,W15,D2,L3,V5,M3} R(16,15) { ! cyclic( X, Y, Z, T ), ! cyclic( X,
% 17.02/17.46 Y, Z, U ), cyclic( Z, Y, T, U ) }.
% 17.02/17.46 (465) {G1,W15,D2,L3,V5,M3} R(16,13) { ! cyclic( X, Y, Z, T ), cyclic( Y, Z
% 17.02/17.46 , T, U ), ! cyclic( X, Y, U, Z ) }.
% 17.02/17.46 (469) {G2,W10,D2,L2,V4,M2} F(460) { ! cyclic( X, Y, Z, T ), cyclic( Z, Y, T
% 17.02/17.46 , T ) }.
% 17.02/17.46 (519) {G1,W27,D2,L3,V12,M3} R(21,20) { ! eqangle( X, Y, Z, T, U, W, V0, V1
% 17.02/17.46 ), eqangle( X, Y, Z, T, V2, V3, V4, V5 ), ! eqangle( U, W, V2, V3, V0,
% 17.02/17.46 V1, V4, V5 ) }.
% 17.02/17.46 (648) {G4,W4,D2,L1,V0,M1} R(406,0) { coll( skol26, skol26, skol22 ) }.
% 17.02/17.46 (777) {G1,W14,D2,L2,V6,M2} R(39,20) { ! para( X, Y, Z, T ), eqangle( X, Y,
% 17.02/17.46 Z, T, U, W, U, W ) }.
% 17.02/17.46 (779) {G1,W14,D2,L2,V6,M2} R(39,18) { ! para( X, Y, Z, T ), eqangle( U, W,
% 17.02/17.46 X, Y, U, W, Z, T ) }.
% 17.02/17.46 (799) {G1,W10,D2,L2,V3,M2} R(40,38) { ! cyclic( X, Y, Z, Z ), para( Z, X, Z
% 17.02/17.46 , X ) }.
% 17.02/17.46 (861) {G5,W14,D2,L2,V1,M2} R(42,648) { ! eqangle( skol26, X, skol26, skol22
% 17.02/17.46 , skol26, X, skol26, skol22 ), cyclic( X, skol22, skol26, skol26 ) }.
% 17.02/17.46 (1016) {G1,W20,D2,L4,V4,M4} R(43,40);f { ! cyclic( X, Y, Z, X ), ! cyclic(
% 17.02/17.46 X, Y, Z, Y ), ! cyclic( X, Y, Z, T ), cong( X, Y, X, Y ) }.
% 17.02/17.46 (1048) {G2,W15,D2,L3,V3,M3} F(1016) { ! cyclic( X, Y, Z, X ), ! cyclic( X,
% 17.02/17.46 Y, Z, Y ), cong( X, Y, X, Y ) }.
% 17.02/17.46 (1830) {G1,W20,D2,L4,V4,M4} R(57,23) { ! cong( X, Y, Z, Y ), ! cyclic( X, Z
% 17.02/17.46 , Y, T ), perp( Y, X, X, T ), ! cong( Z, T, X, T ) }.
% 17.02/17.46 (18343) {G6,W5,D2,L1,V0,M1} R(280,279) { para( skol26, skol22, skol26,
% 17.02/17.46 skol22 ) }.
% 17.02/17.46 (40240) {G7,W9,D2,L1,V2,M1} R(779,18343) { eqangle( X, Y, skol26, skol22, X
% 17.02/17.46 , Y, skol26, skol22 ) }.
% 17.02/17.46 (48355) {G2,W9,D2,L2,V3,M2} R(799,66) { ! cyclic( X, Y, Z, Z ), coll( Z, X
% 17.02/17.46 , X ) }.
% 17.02/17.46 (55451) {G8,W5,D2,L1,V1,M1} S(861);r(40240) { cyclic( X, skol22, skol26,
% 17.02/17.46 skol26 ) }.
% 17.02/17.46 (55472) {G9,W5,D2,L1,V1,M1} R(55451,442) { cyclic( skol22, X, skol26,
% 17.02/17.46 skol26 ) }.
% 17.02/17.46 (55484) {G10,W5,D2,L1,V1,M1} R(55472,469) { cyclic( skol26, X, skol26,
% 17.02/17.46 skol26 ) }.
% 17.02/17.46 (55506) {G11,W5,D2,L1,V1,M1} R(55484,440) { cyclic( skol26, skol26, X,
% 17.02/17.46 skol26 ) }.
% 17.02/17.46 (55507) {G11,W5,D2,L1,V1,M1} R(55484,432) { cyclic( skol26, skol26, skol26
% 17.02/17.46 , X ) }.
% 17.02/17.46 (55512) {G12,W5,D2,L1,V2,M1} R(55506,465);r(55507) { cyclic( skol26, skol26
% 17.02/17.46 , X, Y ) }.
% 17.02/17.46 (55534) {G13,W5,D2,L1,V3,M1} R(55512,465);r(55512) { cyclic( skol26, X, Y,
% 17.02/17.46 Z ) }.
% 17.02/17.46 (55553) {G14,W5,D2,L1,V4,M1} R(55534,465);r(55534) { cyclic( X, Y, Z, T )
% 17.02/17.46 }.
% 17.02/17.46 (60072) {G15,W4,D2,L1,V2,M1} S(48355);r(55553) { coll( Z, X, X ) }.
% 17.02/17.46 (61254) {G15,W15,D2,L3,V4,M3} S(1830);r(55553) { ! cong( X, Y, Z, Y ), perp
% 17.02/17.46 ( Y, X, X, T ), ! cong( Z, T, X, T ) }.
% 17.02/17.46 (61272) {G15,W5,D2,L1,V2,M1} S(1048);r(55553);r(55553) { cong( X, Y, X, Y )
% 17.02/17.46 }.
% 17.02/17.46 (61279) {G16,W5,D2,L1,V2,M1} F(61254);r(61272) { perp( Y, X, X, Y ) }.
% 17.02/17.46 (61320) {G16,W4,D2,L1,V2,M1} R(60072,67);r(61272) { midp( X, Y, Y ) }.
% 17.02/17.46 (61339) {G17,W5,D2,L1,V3,M1} R(61320,52);r(61279) { cong( X, Z, Y, Z ) }.
% 17.02/17.46 (61878) {G18,W5,D2,L1,V4,M1} R(61339,56);r(61339) { perp( X, Z, T, Y ) }.
% 17.02/17.46 (61902) {G19,W5,D2,L1,V4,M1} R(61878,300);r(61878) { para( Z, T, U, W ) }.
% 17.02/17.46 (61915) {G20,W9,D2,L1,V6,M1} R(61902,779) { eqangle( X, Y, Z, T, X, Y, U, W
% 17.02/17.46 ) }.
% 17.02/17.46 (61916) {G20,W9,D2,L1,V6,M1} R(61902,777) { eqangle( X, Y, Z, T, U, W, U, W
% 17.02/17.46 ) }.
% 17.02/17.46 (62360) {G21,W9,D2,L1,V8,M1} R(61915,519);r(61916) { eqangle( X, Y, Z, T,
% 17.02/17.46 V0, V1, V2, V3 ) }.
% 17.02/17.46 (62361) {G22,W0,D0,L0,V0,M0} R(62360,124) { }.
% 17.02/17.46
% 17.02/17.46
% 17.02/17.46 % SZS output end Refutation
% 17.02/17.46 found a proof!
% 17.02/17.46
% 17.02/17.46
% 17.02/17.46 Unprocessed initial clauses:
% 17.02/17.46
% 17.02/17.46 (62363) {G0,W8,D2,L2,V3,M2} { ! coll( X, Y, Z ), coll( X, Z, Y ) }.
% 17.02/17.46 (62364) {G0,W8,D2,L2,V3,M2} { ! coll( X, Y, Z ), coll( Y, X, Z ) }.
% 17.02/17.46 (62365) {G0,W12,D2,L3,V4,M3} { ! coll( X, T, Y ), ! coll( X, T, Z ), coll
% 17.02/17.46 ( Y, Z, X ) }.
% 17.02/17.46 (62366) {G0,W10,D2,L2,V4,M2} { ! para( X, Y, Z, T ), para( X, Y, T, Z )
% 17.02/17.46 }.
% 17.02/17.46 (62367) {G0,W10,D2,L2,V4,M2} { ! para( X, Y, Z, T ), para( Z, T, X, Y )
% 17.02/17.46 }.
% 17.02/17.46 (62368) {G0,W15,D2,L3,V6,M3} { ! para( X, Y, U, W ), ! para( U, W, Z, T )
% 17.02/17.46 , para( X, Y, Z, T ) }.
% 17.02/17.46 (62369) {G0,W10,D2,L2,V4,M2} { ! perp( X, Y, Z, T ), perp( X, Y, T, Z )
% 17.02/17.46 }.
% 17.02/17.46 (62370) {G0,W10,D2,L2,V4,M2} { ! perp( X, Y, Z, T ), perp( Z, T, X, Y )
% 17.02/17.46 }.
% 17.02/17.46 (62371) {G0,W15,D2,L3,V6,M3} { ! perp( X, Y, U, W ), ! perp( U, W, Z, T )
% 17.02/17.46 , para( X, Y, Z, T ) }.
% 17.02/17.46 (62372) {G0,W15,D2,L3,V6,M3} { ! para( X, Y, U, W ), ! perp( U, W, Z, T )
% 17.02/17.46 , perp( X, Y, Z, T ) }.
% 17.02/17.46 (62373) {G0,W8,D2,L2,V3,M2} { ! midp( Z, Y, X ), midp( Z, X, Y ) }.
% 17.02/17.46 (62374) {G0,W15,D2,L3,V4,M3} { ! cong( T, X, T, Y ), ! cong( T, X, T, Z )
% 17.02/17.46 , circle( T, X, Y, Z ) }.
% 17.02/17.46 (62375) {G0,W20,D2,L4,V5,M4} { ! cong( U, X, U, Y ), ! cong( U, X, U, Z )
% 17.02/17.46 , ! cong( U, X, U, T ), cyclic( X, Y, Z, T ) }.
% 17.02/17.46 (62376) {G0,W10,D2,L2,V4,M2} { ! cyclic( X, Y, Z, T ), cyclic( X, Y, T, Z
% 17.02/17.46 ) }.
% 17.02/17.46 (62377) {G0,W10,D2,L2,V4,M2} { ! cyclic( X, Y, Z, T ), cyclic( X, Z, Y, T
% 17.02/17.46 ) }.
% 17.02/17.46 (62378) {G0,W10,D2,L2,V4,M2} { ! cyclic( X, Y, Z, T ), cyclic( Y, X, Z, T
% 17.02/17.46 ) }.
% 17.02/17.46 (62379) {G0,W15,D2,L3,V5,M3} { ! cyclic( U, X, Y, Z ), ! cyclic( U, X, Y,
% 17.02/17.46 T ), cyclic( X, Y, Z, T ) }.
% 17.02/17.46 (62380) {G0,W18,D2,L2,V8,M2} { ! eqangle( X, Y, Z, T, U, W, V0, V1 ),
% 17.02/17.46 eqangle( Y, X, Z, T, U, W, V0, V1 ) }.
% 17.02/17.46 (62381) {G0,W18,D2,L2,V8,M2} { ! eqangle( X, Y, Z, T, U, W, V0, V1 ),
% 17.02/17.46 eqangle( Z, T, X, Y, V0, V1, U, W ) }.
% 17.02/17.46 (62382) {G0,W18,D2,L2,V8,M2} { ! eqangle( X, Y, Z, T, U, W, V0, V1 ),
% 17.02/17.46 eqangle( U, W, V0, V1, X, Y, Z, T ) }.
% 17.02/17.46 (62383) {G0,W18,D2,L2,V8,M2} { ! eqangle( X, Y, Z, T, U, W, V0, V1 ),
% 17.02/17.46 eqangle( X, Y, U, W, Z, T, V0, V1 ) }.
% 17.02/17.46 (62384) {G0,W27,D2,L3,V12,M3} { ! eqangle( X, Y, Z, T, V2, V3, V4, V5 ), !
% 17.02/17.46 eqangle( V2, V3, V4, V5, U, W, V0, V1 ), eqangle( X, Y, Z, T, U, W, V0,
% 17.02/17.46 V1 ) }.
% 17.02/17.46 (62385) {G0,W10,D2,L2,V4,M2} { ! cong( X, Y, Z, T ), cong( X, Y, T, Z )
% 17.02/17.46 }.
% 17.02/17.46 (62386) {G0,W10,D2,L2,V4,M2} { ! cong( X, Y, Z, T ), cong( Z, T, X, Y )
% 17.02/17.46 }.
% 17.02/17.46 (62387) {G0,W15,D2,L3,V6,M3} { ! cong( X, Y, U, W ), ! cong( U, W, Z, T )
% 17.02/17.46 , cong( X, Y, Z, T ) }.
% 17.02/17.46 (62388) {G0,W18,D2,L2,V8,M2} { ! eqratio( X, Y, Z, T, U, W, V0, V1 ),
% 17.02/17.46 eqratio( Y, X, Z, T, U, W, V0, V1 ) }.
% 17.02/17.46 (62389) {G0,W18,D2,L2,V8,M2} { ! eqratio( X, Y, Z, T, U, W, V0, V1 ),
% 17.02/17.46 eqratio( Z, T, X, Y, V0, V1, U, W ) }.
% 17.02/17.46 (62390) {G0,W18,D2,L2,V8,M2} { ! eqratio( X, Y, Z, T, U, W, V0, V1 ),
% 17.02/17.46 eqratio( U, W, V0, V1, X, Y, Z, T ) }.
% 17.02/17.46 (62391) {G0,W18,D2,L2,V8,M2} { ! eqratio( X, Y, Z, T, U, W, V0, V1 ),
% 17.02/17.46 eqratio( X, Y, U, W, Z, T, V0, V1 ) }.
% 17.02/17.46 (62392) {G0,W27,D2,L3,V12,M3} { ! eqratio( X, Y, Z, T, V2, V3, V4, V5 ), !
% 17.02/17.46 eqratio( V2, V3, V4, V5, U, W, V0, V1 ), eqratio( X, Y, Z, T, U, W, V0,
% 17.02/17.46 V1 ) }.
% 17.02/17.46 (62393) {G0,W14,D2,L2,V6,M2} { ! simtri( X, Z, Y, T, W, U ), simtri( X, Y
% 17.02/17.46 , Z, T, U, W ) }.
% 17.02/17.46 (62394) {G0,W14,D2,L2,V6,M2} { ! simtri( Y, X, Z, U, T, W ), simtri( X, Y
% 17.02/17.46 , Z, T, U, W ) }.
% 17.02/17.46 (62395) {G0,W14,D2,L2,V6,M2} { ! simtri( T, U, W, X, Y, Z ), simtri( X, Y
% 17.02/17.46 , Z, T, U, W ) }.
% 17.02/17.46 (62396) {G0,W21,D2,L3,V9,M3} { ! simtri( X, Y, Z, V0, V1, V2 ), ! simtri(
% 17.02/17.46 V0, V1, V2, T, U, W ), simtri( X, Y, Z, T, U, W ) }.
% 17.02/17.46 (62397) {G0,W14,D2,L2,V6,M2} { ! contri( X, Z, Y, T, W, U ), contri( X, Y
% 17.02/17.46 , Z, T, U, W ) }.
% 17.02/17.46 (62398) {G0,W14,D2,L2,V6,M2} { ! contri( Y, X, Z, U, T, W ), contri( X, Y
% 17.02/17.46 , Z, T, U, W ) }.
% 17.02/17.46 (62399) {G0,W14,D2,L2,V6,M2} { ! contri( T, U, W, X, Y, Z ), contri( X, Y
% 17.02/17.46 , Z, T, U, W ) }.
% 17.02/17.46 (62400) {G0,W21,D2,L3,V9,M3} { ! contri( X, Y, Z, V0, V1, V2 ), ! contri(
% 17.02/17.46 V0, V1, V2, T, U, W ), contri( X, Y, Z, T, U, W ) }.
% 17.02/17.46 (62401) {G0,W14,D2,L2,V6,M2} { ! eqangle( X, Y, U, W, Z, T, U, W ), para(
% 17.02/17.46 X, Y, Z, T ) }.
% 17.02/17.46 (62402) {G0,W14,D2,L2,V6,M2} { ! para( X, Y, Z, T ), eqangle( X, Y, U, W,
% 17.02/17.46 Z, T, U, W ) }.
% 17.02/17.46 (62403) {G0,W14,D2,L2,V4,M2} { ! cyclic( X, Y, Z, T ), eqangle( Z, X, Z, Y
% 17.02/17.46 , T, X, T, Y ) }.
% 17.02/17.46 (62404) {G0,W18,D2,L3,V4,M3} { ! eqangle( Z, X, Z, Y, T, X, T, Y ), coll(
% 17.02/17.46 Z, T, X ), cyclic( X, Y, Z, T ) }.
% 17.02/17.46 (62405) {G0,W18,D2,L3,V4,M3} { ! eqangle( Z, X, Z, Y, T, X, T, Y ), ! coll
% 17.02/17.46 ( Z, T, Y ), cyclic( X, Y, Z, T ) }.
% 17.02/17.46 (62406) {G0,W29,D2,L5,V6,M5} { ! cyclic( X, Y, U, Z ), ! cyclic( X, Y, U,
% 17.02/17.46 T ), ! cyclic( X, Y, U, W ), ! eqangle( U, X, U, Y, W, Z, W, T ), cong( X
% 17.02/17.46 , Y, Z, T ) }.
% 17.02/17.46 (62407) {G0,W13,D2,L3,V5,M3} { ! midp( Z, U, X ), ! midp( T, U, Y ), para
% 17.02/17.46 ( Z, T, X, Y ) }.
% 17.02/17.46 (62408) {G0,W17,D2,L4,V5,M4} { ! midp( U, X, T ), ! para( U, Z, T, Y ), !
% 17.02/17.46 coll( Z, X, Y ), midp( Z, X, Y ) }.
% 17.02/17.46 (62409) {G0,W14,D2,L2,V3,M2} { ! cong( Z, X, Z, Y ), eqangle( Z, X, X, Y,
% 17.02/17.46 X, Y, Z, Y ) }.
% 17.02/17.46 (62410) {G0,W18,D2,L3,V3,M3} { ! eqangle( Z, X, X, Y, X, Y, Z, Y ), coll(
% 17.02/17.46 Z, X, Y ), cong( Z, X, Z, Y ) }.
% 17.02/17.46 (62411) {G0,W19,D2,L3,V5,M3} { ! circle( U, X, Y, Z ), ! perp( U, X, X, T
% 17.02/17.46 ), eqangle( X, T, X, Y, Z, X, Z, Y ) }.
% 17.02/17.46 (62412) {G0,W19,D2,L3,V5,M3} { ! circle( Y, X, T, U ), ! eqangle( X, Z, X
% 17.02/17.46 , T, U, X, U, T ), perp( Y, X, X, Z ) }.
% 17.02/17.46 (62413) {G0,W18,D2,L3,V5,M3} { ! circle( T, X, Y, Z ), ! midp( U, Y, Z ),
% 17.02/17.46 eqangle( X, Y, X, Z, T, Y, T, U ) }.
% 17.02/17.46 (62414) {G0,W22,D2,L4,V5,M4} { ! circle( U, T, X, Y ), ! coll( Z, X, Y ),
% 17.02/17.46 ! eqangle( T, X, T, Y, U, X, U, Z ), midp( Z, X, Y ) }.
% 17.02/17.46 (62415) {G0,W14,D2,L3,V4,M3} { ! perp( X, Y, Y, T ), ! midp( Z, X, T ),
% 17.02/17.46 cong( X, Z, Y, Z ) }.
% 17.02/17.46 (62416) {G0,W14,D2,L3,V4,M3} { ! circle( T, X, Y, Z ), ! coll( T, X, Z ),
% 17.02/17.46 perp( X, Y, Y, Z ) }.
% 17.02/17.46 (62417) {G0,W19,D2,L3,V4,M3} { ! cyclic( X, Y, Z, T ), ! para( X, Y, Z, T
% 17.02/17.46 ), eqangle( X, T, Z, T, Z, T, Z, Y ) }.
% 17.02/17.46 (62418) {G0,W14,D2,L3,V4,M3} { ! midp( T, X, Y ), ! perp( Z, T, X, Y ),
% 17.02/17.46 cong( Z, X, Z, Y ) }.
% 17.02/17.46 (62419) {G0,W15,D2,L3,V4,M3} { ! cong( X, Z, Y, Z ), ! cong( X, T, Y, T )
% 17.02/17.46 , perp( X, Y, Z, T ) }.
% 17.02/17.46 (62420) {G0,W20,D2,L4,V4,M4} { ! cong( X, Y, T, Y ), ! cong( X, Z, T, Z )
% 17.02/17.46 , ! cyclic( X, T, Y, Z ), perp( Y, X, X, Z ) }.
% 17.02/17.46 (62421) {G0,W29,D2,L4,V6,M4} { ! eqangle( X, Y, Y, Z, T, U, U, W ), !
% 17.02/17.46 eqangle( X, Z, Y, Z, T, W, U, W ), coll( X, Y, Z ), simtri( X, Y, Z, T, U
% 17.02/17.46 , W ) }.
% 17.02/17.46 (62422) {G0,W16,D2,L2,V6,M2} { ! simtri( X, Y, Z, T, U, W ), eqratio( X, Y
% 17.02/17.46 , X, Z, T, U, T, W ) }.
% 17.02/17.46 (62423) {G0,W16,D2,L2,V6,M2} { ! simtri( X, Y, Z, T, U, W ), eqangle( X, Y
% 17.02/17.46 , Y, Z, T, U, U, W ) }.
% 17.02/17.46 (62424) {G0,W19,D2,L3,V6,M3} { ! simtri( X, Y, Z, T, U, W ), ! cong( X, Y
% 17.02/17.46 , T, U ), contri( X, Y, Z, T, U, W ) }.
% 17.02/17.46 (62425) {G0,W12,D2,L2,V6,M2} { ! contri( X, Y, U, Z, T, W ), cong( X, Y, Z
% 17.02/17.46 , T ) }.
% 17.02/17.46 (62426) {G0,W13,D2,L3,V5,M3} { ! midp( U, X, Y ), ! midp( U, Z, T ), para
% 17.02/17.46 ( X, Z, Y, T ) }.
% 17.02/17.46 (62427) {G0,W18,D2,L4,V5,M4} { ! midp( Z, T, U ), ! para( T, X, U, Y ), !
% 17.02/17.46 para( T, Y, U, X ), midp( Z, X, Y ) }.
% 17.02/17.46 (62428) {G0,W22,D2,L4,V5,M4} { ! para( X, Y, Z, T ), ! coll( U, X, Z ), !
% 17.02/17.46 coll( U, Y, T ), eqratio( U, X, X, Z, U, Y, Y, T ) }.
% 17.02/17.46 (62429) {G0,W9,D2,L2,V3,M2} { ! para( X, Y, X, Z ), coll( X, Y, Z ) }.
% 17.02/17.46 (62430) {G0,W13,D2,L3,V3,M3} { ! cong( X, Y, X, Z ), ! coll( X, Y, Z ),
% 17.02/17.46 midp( X, Y, Z ) }.
% 17.02/17.46 (62431) {G0,W9,D2,L2,V3,M2} { ! midp( X, Y, Z ), cong( X, Y, X, Z ) }.
% 17.02/17.46 (62432) {G0,W8,D2,L2,V3,M2} { ! midp( X, Y, Z ), coll( X, Y, Z ) }.
% 17.02/17.46 (62433) {G0,W17,D2,L3,V6,M3} { ! midp( U, X, Y ), ! midp( W, Z, T ),
% 17.02/17.46 eqratio( U, X, X, Y, W, Z, Z, T ) }.
% 17.02/17.46 (62434) {G0,W19,D2,L3,V4,M3} { ! eqangle( X, Y, Z, T, Z, T, X, Y ), para(
% 17.02/17.46 X, Y, Z, T ), perp( X, Y, Z, T ) }.
% 17.02/17.46 (62435) {G0,W19,D2,L3,V4,M3} { ! eqangle( X, Y, Z, T, Z, T, X, Y ), perp(
% 17.02/17.46 X, Y, Z, T ), para( X, Y, Z, T ) }.
% 17.02/17.46 (62436) {G0,W19,D2,L3,V8,M3} { ! eqangle( X, Y, Z, T, U, W, V0, V1 ), !
% 17.02/17.46 para( U, W, V0, V1 ), para( X, Y, Z, T ) }.
% 17.02/17.46 (62437) {G0,W19,D2,L3,V8,M3} { ! eqangle( X, Y, Z, T, U, W, V0, V1 ), !
% 17.02/17.46 perp( U, W, V0, V1 ), perp( X, Y, Z, T ) }.
% 17.02/17.46 (62438) {G0,W19,D2,L3,V8,M3} { ! eqratio( X, Y, Z, T, U, W, V0, V1 ), !
% 17.02/17.46 cong( U, W, V0, V1 ), cong( X, Y, Z, T ) }.
% 17.02/17.46 (62439) {G0,W22,D3,L3,V6,M3} { ! perp( Z, Y, Y, X ), ! eqangle( T, Z, Y, Z
% 17.02/17.46 , Y, Z, X, Z ), coll( skol1( U, W, Z, T ), Z, T ) }.
% 17.02/17.46 (62440) {G0,W22,D3,L3,V4,M3} { ! perp( Z, Y, Y, X ), ! eqangle( T, Z, Y, Z
% 17.02/17.46 , Y, Z, X, Z ), coll( skol1( X, Y, Z, T ), X, Y ) }.
% 17.02/17.46 (62441) {G0,W22,D3,L3,V6,M3} { ! cong( Z, X, Z, Y ), ! eqangle( X, Z, Z, T
% 17.02/17.46 , Z, T, Z, Y ), coll( skol2( U, W, Z, T ), Z, T ) }.
% 17.02/17.46 (62442) {G0,W22,D3,L3,V4,M3} { ! cong( Z, X, Z, Y ), ! eqangle( X, Z, Z, T
% 17.02/17.46 , Z, T, Z, Y ), coll( Y, X, skol2( X, Y, Z, T ) ) }.
% 17.02/17.46 (62443) {G0,W22,D3,L3,V6,M3} { ! perp( Z, T, X, Y ), ! eqangle( X, Z, Z, T
% 17.02/17.46 , Z, T, Z, Y ), coll( skol3( U, W, Z, T ), Z, T ) }.
% 17.02/17.46 (62444) {G0,W22,D3,L3,V4,M3} { ! perp( Z, T, X, Y ), ! eqangle( X, Z, Z, T
% 17.02/17.46 , Z, T, Z, Y ), coll( Y, X, skol3( X, Y, Z, T ) ) }.
% 17.02/17.46 (62445) {G0,W18,D3,L3,V6,M3} { ! perp( Z, T, X, Y ), ! cong( Z, X, Z, Y )
% 17.02/17.46 , coll( skol4( U, W, Z, T ), Z, T ) }.
% 17.02/17.46 (62446) {G0,W18,D3,L3,V4,M3} { ! perp( Z, T, X, Y ), ! cong( Z, X, Z, Y )
% 17.02/17.46 , coll( Y, X, skol4( X, Y, Z, T ) ) }.
% 17.02/17.46 (62447) {G0,W22,D3,L3,V6,M3} { ! eqangle( X, Z, Y, Z, X, T, Y, U ), coll(
% 17.02/17.46 X, Y, Z ), cyclic( T, Y, Z, skol5( W, Y, Z, T ) ) }.
% 17.02/17.46 (62448) {G0,W30,D3,L3,V5,M3} { ! eqangle( X, Z, Y, Z, X, T, Y, U ), coll(
% 17.02/17.46 X, Y, Z ), eqangle( X, Z, Y, Z, X, skol5( X, Y, Z, T ), Y, skol5( X, Y, Z
% 17.02/17.46 , T ) ) }.
% 17.02/17.46 (62449) {G0,W18,D3,L3,V10,M3} { ! midp( U, X, Y ), ! midp( W, Z, T ), midp
% 17.02/17.46 ( skol6( X, V0, V1, T, V2, V3 ), X, T ) }.
% 17.02/17.46 (62450) {G0,W19,D3,L3,V8,M3} { ! midp( U, X, Y ), ! midp( W, Z, T ), para
% 17.02/17.46 ( skol6( X, V0, Z, T, V1, W ), W, X, Z ) }.
% 17.02/17.46 (62451) {G0,W19,D3,L3,V6,M3} { ! midp( U, X, Y ), ! midp( W, Z, T ), para
% 17.02/17.46 ( skol6( X, Y, Z, T, U, W ), U, Y, T ) }.
% 17.02/17.46 (62452) {G0,W22,D3,L5,V7,M5} { ! midp( Z, X, Y ), ! midp( W, T, U ), !
% 17.02/17.46 coll( T, X, Y ), ! coll( U, X, Y ), midp( skol7( X, V0 ), X, V0 ) }.
% 17.02/17.46 (62453) {G0,W26,D3,L5,V8,M5} { ! midp( T, X, U ), ! para( X, W, Z, T ), !
% 17.02/17.46 para( X, W, U, Y ), ! coll( W, Y, Z ), coll( skol8( V0, V1, Z, T ), T, Z
% 17.02/17.46 ) }.
% 17.02/17.46 (62454) {G0,W26,D3,L5,V6,M5} { ! midp( T, X, U ), ! para( X, W, Z, T ), !
% 17.02/17.46 para( X, W, U, Y ), ! coll( W, Y, Z ), coll( skol8( X, Y, Z, T ), X, Y )
% 17.02/17.46 }.
% 17.02/17.46 (62455) {G0,W19,D3,L3,V7,M3} { ! cong( T, Z, T, U ), ! perp( X, Y, Y, T )
% 17.02/17.46 , cong( T, Z, T, skol9( W, V0, Z, T ) ) }.
% 17.02/17.46 (62456) {G0,W19,D3,L3,V6,M3} { ! cong( T, Z, T, U ), ! perp( X, Y, Y, T )
% 17.02/17.46 , cong( Y, Z, Y, skol9( W, Y, Z, T ) ) }.
% 17.02/17.46 (62457) {G0,W19,D3,L3,V5,M3} { ! cong( T, Z, T, U ), ! perp( X, Y, Y, T )
% 17.02/17.46 , para( skol9( X, Y, Z, T ), Z, X, Y ) }.
% 17.02/17.46 (62458) {G0,W17,D3,L3,V5,M3} { ! perp( X, T, Y, Z ), ! perp( Y, T, X, Z )
% 17.02/17.46 , coll( skol10( U, Y, Z ), Z, Y ) }.
% 17.02/17.46 (62459) {G0,W18,D3,L3,V4,M3} { ! perp( X, T, Y, Z ), ! perp( Y, T, X, Z )
% 17.02/17.46 , perp( X, skol10( X, Y, Z ), Z, Y ) }.
% 17.02/17.46 (62460) {G0,W14,D2,L3,V4,M3} { ! perp( X, T, Y, Z ), ! perp( Y, T, X, Z )
% 17.02/17.46 , alpha1( X, Y, Z ) }.
% 17.02/17.46 (62461) {G0,W11,D3,L2,V4,M2} { ! alpha1( X, Y, Z ), coll( skol11( X, T, Z
% 17.02/17.46 ), Z, X ) }.
% 17.02/17.46 (62462) {G0,W12,D3,L2,V3,M2} { ! alpha1( X, Y, Z ), perp( Y, skol11( X, Y
% 17.02/17.46 , Z ), Z, X ) }.
% 17.02/17.46 (62463) {G0,W13,D2,L3,V4,M3} { ! coll( T, Z, X ), ! perp( Y, T, Z, X ),
% 17.02/17.46 alpha1( X, Y, Z ) }.
% 17.02/17.46 (62464) {G0,W12,D3,L2,V4,M2} { ! circle( Y, X, Z, T ), perp( skol12( X, Y
% 17.02/17.46 ), X, X, Y ) }.
% 17.02/17.46 (62465) {G0,W28,D3,L5,V8,M5} { ! circle( W, X, Y, Z ), ! cong( W, X, W, T
% 17.02/17.46 ), ! cong( U, X, U, Y ), W = U, alpha2( X, Z, U, skol13( X, V0, Z, V1, U
% 17.02/17.46 ) ) }.
% 17.02/17.46 (62466) {G0,W26,D3,L5,V8,M5} { ! circle( W, X, Y, Z ), ! cong( W, X, W, T
% 17.02/17.46 ), ! cong( U, X, U, Y ), W = U, coll( skol21( V0, Y, T, V1 ), Y, T ) }.
% 17.02/17.46 (62467) {G0,W27,D3,L5,V6,M5} { ! circle( W, X, Y, Z ), ! cong( W, X, W, T
% 17.02/17.46 ), ! cong( U, X, U, Y ), W = U, cong( skol21( X, Y, T, U ), U, U, X )
% 17.02/17.46 }.
% 17.02/17.46 (62468) {G0,W9,D2,L2,V4,M2} { ! alpha2( X, Y, Z, T ), coll( T, X, Y ) }.
% 17.02/17.46 (62469) {G0,W10,D2,L2,V4,M2} { ! alpha2( X, Y, Z, T ), cong( T, Z, Z, X )
% 17.02/17.46 }.
% 17.02/17.46 (62470) {G0,W14,D2,L3,V4,M3} { ! coll( T, X, Y ), ! cong( T, Z, Z, X ),
% 17.02/17.46 alpha2( X, Y, Z, T ) }.
% 17.02/17.46 (62471) {G0,W22,D3,L4,V5,M4} { ! cyclic( X, Y, Z, T ), ! para( X, Y, Z, T
% 17.02/17.46 ), ! midp( U, X, Y ), circle( skol14( X, Y, Z ), X, Y, Z ) }.
% 17.02/17.46 (62472) {G0,W18,D3,L3,V4,M3} { ! perp( X, Z, Z, Y ), ! cyclic( X, Y, Z, T
% 17.02/17.46 ), circle( skol15( X, Y, Z ), X, Y, Z ) }.
% 17.02/17.46 (62473) {G0,W16,D3,L3,V6,M3} { ! perp( X, U, U, T ), ! coll( T, Y, Z ),
% 17.02/17.46 coll( skol16( W, Y, Z ), Y, Z ) }.
% 17.02/17.46 (62474) {G0,W17,D3,L3,V5,M3} { ! perp( X, U, U, T ), ! coll( T, Y, Z ),
% 17.02/17.46 perp( skol16( X, Y, Z ), X, Y, Z ) }.
% 17.02/17.46 (62475) {G0,W20,D3,L4,V5,M4} { ! perp( X, Z, X, Y ), ! perp( Y, X, Y, T )
% 17.02/17.46 , ! midp( U, Z, T ), midp( skol17( X, Y ), X, Y ) }.
% 17.02/17.46 (62476) {G0,W16,D3,L3,V3,M3} { ! cong( Y, X, Y, Z ), ! perp( X, Y, Y, Z )
% 17.02/17.46 , coll( X, Y, skol18( X, Y ) ) }.
% 17.02/17.46 (62477) {G0,W17,D3,L3,V3,M3} { ! cong( Y, X, Y, Z ), ! perp( X, Y, Y, Z )
% 17.02/17.46 , cong( Y, X, Y, skol18( X, Y ) ) }.
% 17.02/17.46 (62478) {G0,W25,D3,L5,V8,M5} { ! para( U, W, X, Y ), ! coll( Z, U, X ), !
% 17.02/17.46 coll( Z, W, Y ), ! coll( T, U, W ), coll( Z, T, skol19( V0, V1, Z, T ) )
% 17.02/17.46 }.
% 17.02/17.46 (62479) {G0,W25,D3,L5,V6,M5} { ! para( U, W, X, Y ), ! coll( Z, U, X ), !
% 17.02/17.46 coll( Z, W, Y ), ! coll( T, U, W ), coll( skol19( X, Y, Z, T ), X, Y )
% 17.02/17.46 }.
% 17.02/17.46 (62480) {G0,W5,D2,L1,V0,M1} { perp( skol20, skol25, skol26, skol27 ) }.
% 17.02/17.46 (62481) {G0,W4,D2,L1,V0,M1} { coll( skol20, skol26, skol27 ) }.
% 17.02/17.46 (62482) {G0,W5,D2,L1,V0,M1} { perp( skol22, skol26, skol25, skol27 ) }.
% 17.02/17.46 (62483) {G0,W4,D2,L1,V0,M1} { coll( skol22, skol25, skol27 ) }.
% 17.02/17.46 (62484) {G0,W4,D2,L1,V0,M1} { coll( skol23, skol25, skol20 ) }.
% 17.02/17.46 (62485) {G0,W4,D2,L1,V0,M1} { coll( skol23, skol26, skol22 ) }.
% 17.02/17.46 (62486) {G0,W5,D2,L1,V0,M1} { perp( skol24, skol23, skol25, skol26 ) }.
% 17.02/17.46 (62487) {G0,W4,D2,L1,V0,M1} { coll( skol24, skol25, skol26 ) }.
% 17.02/17.46 (62488) {G0,W9,D2,L1,V0,M1} { ! eqangle( skol22, skol24, skol24, skol23,
% 17.02/17.46 skol23, skol24, skol24, skol20 ) }.
% 17.02/17.46
% 17.02/17.46
% 17.02/17.46 Total Proof:
% 17.02/17.46
% 17.02/17.46 subsumption: (0) {G0,W8,D2,L2,V3,M2} I { ! coll( X, Y, Z ), coll( X, Z, Y )
% 17.02/17.46 }.
% 17.02/17.46 parent0: (62363) {G0,W8,D2,L2,V3,M2} { ! coll( X, Y, Z ), coll( X, Z, Y )
% 17.02/17.46 }.
% 17.02/17.46 substitution0:
% 17.02/17.46 X := X
% 17.02/17.46 Y := Y
% 17.02/17.46 Z := Z
% 17.02/17.46 end
% 17.02/17.46 permutation0:
% 17.02/17.46 0 ==> 0
% 17.02/17.46 1 ==> 1
% 17.02/17.46 end
% 17.02/17.46
% 17.02/17.46 subsumption: (1) {G0,W8,D2,L2,V3,M2} I { ! coll( X, Y, Z ), coll( Y, X, Z )
% 17.02/17.46 }.
% 17.02/17.46 parent0: (62364) {G0,W8,D2,L2,V3,M2} { ! coll( X, Y, Z ), coll( Y, X, Z )
% 17.02/17.46 }.
% 17.02/17.46 substitution0:
% 17.02/17.46 X := X
% 17.02/17.46 Y := Y
% 17.02/17.46 Z := Z
% 17.02/17.46 end
% 17.02/17.46 permutation0:
% 17.02/17.46 0 ==> 0
% 17.02/17.46 1 ==> 1
% 17.02/17.46 end
% 17.02/17.46
% 17.02/17.46 subsumption: (2) {G0,W12,D2,L3,V4,M3} I { ! coll( X, T, Y ), ! coll( X, T,
% 17.02/17.46 Z ), coll( Y, Z, X ) }.
% 17.02/17.46 parent0: (62365) {G0,W12,D2,L3,V4,M3} { ! coll( X, T, Y ), ! coll( X, T, Z
% 17.02/17.46 ), coll( Y, Z, X ) }.
% 17.02/17.46 substitution0:
% 17.02/17.46 X := X
% 17.02/17.46 Y := Y
% 17.02/17.46 Z := Z
% 17.02/17.46 T := T
% 17.02/17.46 end
% 17.02/17.46 permutation0:
% 17.02/17.46 0 ==> 0
% 17.02/17.46 1 ==> 1
% 17.02/17.46 2 ==> 2
% 17.02/17.46 end
% 17.02/17.46
% 17.02/17.46 subsumption: (4) {G0,W10,D2,L2,V4,M2} I { ! para( X, Y, Z, T ), para( Z, T
% 17.02/17.46 , X, Y ) }.
% 17.02/17.46 parent0: (62367) {G0,W10,D2,L2,V4,M2} { ! para( X, Y, Z, T ), para( Z, T,
% 17.02/17.46 X, Y ) }.
% 17.02/17.46 substitution0:
% 17.02/17.46 X := X
% 17.02/17.46 Y := Y
% 17.02/17.46 Z := Z
% 17.02/17.46 T := T
% 17.02/17.46 end
% 17.02/17.46 permutation0:
% 17.02/17.46 0 ==> 0
% 17.02/17.46 1 ==> 1
% 17.02/17.46 end
% 17.02/17.46
% 17.02/17.46 subsumption: (6) {G0,W10,D2,L2,V4,M2} I { ! perp( X, Y, Z, T ), perp( X, Y
% 17.02/17.46 , T, Z ) }.
% 17.02/17.46 parent0: (62369) {G0,W10,D2,L2,V4,M2} { ! perp( X, Y, Z, T ), perp( X, Y,
% 17.02/17.46 T, Z ) }.
% 17.02/17.46 substitution0:
% 17.02/17.46 X := X
% 17.02/17.46 Y := Y
% 17.02/17.46 Z := Z
% 17.02/17.46 T := T
% 17.02/17.46 end
% 17.02/17.46 permutation0:
% 17.02/17.46 0 ==> 0
% 17.02/17.46 1 ==> 1
% 17.02/17.46 end
% 17.02/17.46
% 17.02/17.46 subsumption: (7) {G0,W10,D2,L2,V4,M2} I { ! perp( X, Y, Z, T ), perp( Z, T
% 17.02/17.46 , X, Y ) }.
% 17.02/17.46 parent0: (62370) {G0,W10,D2,L2,V4,M2} { ! perp( X, Y, Z, T ), perp( Z, T,
% 17.02/17.46 X, Y ) }.
% 17.02/17.46 substitution0:
% 17.02/17.46 X := X
% 17.02/17.46 Y := Y
% 17.02/17.46 Z := Z
% 17.02/17.46 T := T
% 17.02/17.46 end
% 17.02/17.46 permutation0:
% 17.02/17.46 0 ==> 0
% 17.02/17.46 1 ==> 1
% 17.02/17.46 end
% 17.02/17.46
% 17.02/17.46 subsumption: (8) {G0,W15,D2,L3,V6,M3} I { ! perp( X, Y, U, W ), ! perp( U,
% 17.02/17.46 W, Z, T ), para( X, Y, Z, T ) }.
% 17.02/17.46 parent0: (62371) {G0,W15,D2,L3,V6,M3} { ! perp( X, Y, U, W ), ! perp( U, W
% 17.02/17.46 , Z, T ), para( X, Y, Z, T ) }.
% 17.02/17.46 substitution0:
% 17.02/17.46 X := X
% 17.02/17.46 Y := Y
% 17.02/17.46 Z := Z
% 17.02/17.46 T := T
% 17.02/17.46 U := U
% 17.02/17.46 W := W
% 17.02/17.46 end
% 17.02/17.46 permutation0:
% 17.02/17.46 0 ==> 0
% 17.02/17.46 1 ==> 1
% 17.02/17.46 2 ==> 2
% 17.02/17.46 end
% 17.02/17.46
% 17.02/17.46 subsumption: (13) {G0,W10,D2,L2,V4,M2} I { ! cyclic( X, Y, Z, T ), cyclic(
% 17.02/17.46 X, Y, T, Z ) }.
% 17.02/17.46 parent0: (62376) {G0,W10,D2,L2,V4,M2} { ! cyclic( X, Y, Z, T ), cyclic( X
% 17.02/17.46 , Y, T, Z ) }.
% 17.02/17.46 substitution0:
% 17.02/17.46 X := X
% 17.02/17.46 Y := Y
% 17.02/17.46 Z := Z
% 17.02/17.46 T := T
% 17.02/17.46 end
% 17.02/17.46 permutation0:
% 17.02/17.46 0 ==> 0
% 17.02/17.46 1 ==> 1
% 17.02/17.46 end
% 17.02/17.46
% 17.02/17.46 subsumption: (14) {G0,W10,D2,L2,V4,M2} I { ! cyclic( X, Y, Z, T ), cyclic(
% 17.02/17.46 X, Z, Y, T ) }.
% 17.02/17.46 parent0: (62377) {G0,W10,D2,L2,V4,M2} { ! cyclic( X, Y, Z, T ), cyclic( X
% 17.02/17.46 , Z, Y, T ) }.
% 17.02/17.46 substitution0:
% 17.02/17.46 X := X
% 17.02/17.46 Y := Y
% 17.02/17.46 Z := Z
% 17.02/17.46 T := T
% 17.02/17.46 end
% 17.02/17.46 permutation0:
% 17.02/17.46 0 ==> 0
% 17.02/17.46 1 ==> 1
% 17.02/17.46 end
% 17.02/17.46
% 17.02/17.46 subsumption: (15) {G0,W10,D2,L2,V4,M2} I { ! cyclic( X, Y, Z, T ), cyclic(
% 17.02/17.46 Y, X, Z, T ) }.
% 17.02/17.46 parent0: (62378) {G0,W10,D2,L2,V4,M2} { ! cyclic( X, Y, Z, T ), cyclic( Y
% 17.02/17.46 , X, Z, T ) }.
% 17.02/17.46 substitution0:
% 17.02/17.46 X := X
% 17.02/17.46 Y := Y
% 17.02/17.46 Z := Z
% 17.02/17.46 T := T
% 17.02/17.46 end
% 17.02/17.46 permutation0:
% 17.02/17.46 0 ==> 0
% 17.02/17.46 1 ==> 1
% 17.02/17.46 end
% 17.02/17.46
% 17.02/17.46 subsumption: (16) {G0,W15,D2,L3,V5,M3} I { ! cyclic( U, X, Y, Z ), ! cyclic
% 17.02/17.46 ( U, X, Y, T ), cyclic( X, Y, Z, T ) }.
% 17.02/17.46 parent0: (62379) {G0,W15,D2,L3,V5,M3} { ! cyclic( U, X, Y, Z ), ! cyclic(
% 17.02/17.46 U, X, Y, T ), cyclic( X, Y, Z, T ) }.
% 17.02/17.46 substitution0:
% 17.02/17.46 X := X
% 17.02/17.46 Y := Y
% 17.02/17.46 Z := Z
% 17.02/17.46 T := T
% 17.02/17.46 U := U
% 17.02/17.46 end
% 17.02/17.46 permutation0:
% 17.02/17.46 0 ==> 0
% 17.02/17.46 1 ==> 1
% 17.02/17.46 2 ==> 2
% 17.02/17.46 end
% 17.02/17.46
% 17.02/17.46 subsumption: (18) {G0,W18,D2,L2,V8,M2} I { ! eqangle( X, Y, Z, T, U, W, V0
% 17.02/17.46 , V1 ), eqangle( Z, T, X, Y, V0, V1, U, W ) }.
% 17.02/17.46 parent0: (62381) {G0,W18,D2,L2,V8,M2} { ! eqangle( X, Y, Z, T, U, W, V0,
% 17.02/17.46 V1 ), eqangle( Z, T, X, Y, V0, V1, U, W ) }.
% 17.02/17.46 substitution0:
% 17.02/17.46 X := X
% 17.02/17.46 Y := Y
% 17.02/17.46 Z := Z
% 17.02/17.46 T := T
% 17.02/17.46 U := U
% 17.02/17.46 W := W
% 17.02/17.46 V0 := V0
% 17.02/17.46 V1 := V1
% 17.02/17.46 end
% 17.02/17.46 permutation0:
% 17.02/17.46 0 ==> 0
% 17.02/17.46 1 ==> 1
% 17.02/17.46 end
% 17.02/17.46
% 17.02/17.46 subsumption: (20) {G0,W18,D2,L2,V8,M2} I { ! eqangle( X, Y, Z, T, U, W, V0
% 17.02/17.46 , V1 ), eqangle( X, Y, U, W, Z, T, V0, V1 ) }.
% 17.02/17.46 parent0: (62383) {G0,W18,D2,L2,V8,M2} { ! eqangle( X, Y, Z, T, U, W, V0,
% 17.02/17.46 V1 ), eqangle( X, Y, U, W, Z, T, V0, V1 ) }.
% 17.02/17.46 substitution0:
% 17.02/17.46 X := X
% 17.02/17.46 Y := Y
% 17.02/17.46 Z := Z
% 17.02/17.46 T := T
% 17.02/17.46 U := U
% 17.02/17.46 W := W
% 17.02/17.46 V0 := V0
% 17.02/17.46 V1 := V1
% 17.02/17.46 end
% 17.02/17.46 permutation0:
% 17.02/17.46 0 ==> 0
% 17.02/17.46 1 ==> 1
% 17.02/17.46 end
% 17.02/17.46
% 17.02/17.46 subsumption: (21) {G0,W27,D2,L3,V12,M3} I { ! eqangle( X, Y, Z, T, V2, V3,
% 17.02/17.46 V4, V5 ), ! eqangle( V2, V3, V4, V5, U, W, V0, V1 ), eqangle( X, Y, Z, T
% 17.02/17.46 , U, W, V0, V1 ) }.
% 17.02/17.46 parent0: (62384) {G0,W27,D2,L3,V12,M3} { ! eqangle( X, Y, Z, T, V2, V3, V4
% 17.02/17.46 , V5 ), ! eqangle( V2, V3, V4, V5, U, W, V0, V1 ), eqangle( X, Y, Z, T, U
% 17.02/17.46 , W, V0, V1 ) }.
% 17.02/17.46 substitution0:
% 17.02/17.46 X := X
% 17.02/17.46 Y := Y
% 17.02/17.46 Z := Z
% 17.02/17.46 T := T
% 17.02/17.46 U := U
% 17.02/17.46 W := W
% 17.02/17.46 V0 := V0
% 17.02/17.46 V1 := V1
% 17.02/17.46 V2 := V2
% 17.02/17.46 V3 := V3
% 17.02/17.46 V4 := V4
% 17.02/17.46 V5 := V5
% 17.02/17.46 end
% 17.02/17.46 permutation0:
% 17.02/17.46 0 ==> 0
% 17.02/17.46 1 ==> 1
% 17.02/17.46 2 ==> 2
% 17.02/17.46 end
% 17.02/17.46
% 17.02/17.46 subsumption: (23) {G0,W10,D2,L2,V4,M2} I { ! cong( X, Y, Z, T ), cong( Z, T
% 17.02/17.46 , X, Y ) }.
% 17.02/17.46 parent0: (62386) {G0,W10,D2,L2,V4,M2} { ! cong( X, Y, Z, T ), cong( Z, T,
% 17.02/17.46 X, Y ) }.
% 17.02/17.46 substitution0:
% 17.02/17.46 X := X
% 17.02/17.46 Y := Y
% 17.02/17.46 Z := Z
% 17.02/17.46 T := T
% 17.02/17.46 end
% 17.02/17.46 permutation0:
% 17.02/17.46 0 ==> 0
% 17.02/17.46 1 ==> 1
% 17.02/17.46 end
% 17.02/17.46
% 17.02/17.46 subsumption: (38) {G0,W14,D2,L2,V6,M2} I { ! eqangle( X, Y, U, W, Z, T, U,
% 17.02/17.46 W ), para( X, Y, Z, T ) }.
% 17.02/17.46 parent0: (62401) {G0,W14,D2,L2,V6,M2} { ! eqangle( X, Y, U, W, Z, T, U, W
% 17.02/17.46 ), para( X, Y, Z, T ) }.
% 17.02/17.46 substitution0:
% 17.02/17.46 X := X
% 17.02/17.46 Y := Y
% 17.02/17.46 Z := Z
% 17.02/17.46 T := T
% 17.02/17.46 U := U
% 17.02/17.46 W := W
% 17.02/17.46 end
% 17.02/17.46 permutation0:
% 17.02/17.46 0 ==> 0
% 17.02/17.46 1 ==> 1
% 17.02/17.46 end
% 17.02/17.46
% 17.02/17.46 subsumption: (39) {G0,W14,D2,L2,V6,M2} I { ! para( X, Y, Z, T ), eqangle( X
% 17.02/17.46 , Y, U, W, Z, T, U, W ) }.
% 17.02/17.46 parent0: (62402) {G0,W14,D2,L2,V6,M2} { ! para( X, Y, Z, T ), eqangle( X,
% 17.02/17.46 Y, U, W, Z, T, U, W ) }.
% 17.02/17.46 substitution0:
% 17.02/17.46 X := X
% 17.02/17.46 Y := Y
% 17.02/17.46 Z := Z
% 17.02/17.46 T := T
% 17.02/17.46 U := U
% 17.02/17.46 W := W
% 17.02/17.46 end
% 17.02/17.46 permutation0:
% 17.02/17.46 0 ==> 0
% 17.02/17.46 1 ==> 1
% 17.02/17.46 end
% 17.02/17.46
% 17.02/17.46 subsumption: (40) {G0,W14,D2,L2,V4,M2} I { ! cyclic( X, Y, Z, T ), eqangle
% 17.02/17.46 ( Z, X, Z, Y, T, X, T, Y ) }.
% 17.02/17.46 parent0: (62403) {G0,W14,D2,L2,V4,M2} { ! cyclic( X, Y, Z, T ), eqangle( Z
% 17.02/17.46 , X, Z, Y, T, X, T, Y ) }.
% 17.02/17.46 substitution0:
% 17.02/17.46 X := X
% 17.02/17.46 Y := Y
% 17.02/17.46 Z := Z
% 17.02/17.46 T := T
% 17.02/17.46 end
% 17.02/17.46 permutation0:
% 17.02/17.46 0 ==> 0
% 17.02/17.46 1 ==> 1
% 17.02/17.46 end
% 17.02/17.46
% 17.02/17.46 subsumption: (42) {G0,W18,D2,L3,V4,M3} I { ! eqangle( Z, X, Z, Y, T, X, T,
% 17.02/17.46 Y ), ! coll( Z, T, Y ), cyclic( X, Y, Z, T ) }.
% 17.02/17.46 parent0: (62405) {G0,W18,D2,L3,V4,M3} { ! eqangle( Z, X, Z, Y, T, X, T, Y
% 17.02/17.46 ), ! coll( Z, T, Y ), cyclic( X, Y, Z, T ) }.
% 17.02/17.46 substitution0:
% 17.02/17.46 X := X
% 17.02/17.46 Y := Y
% 17.02/17.46 Z := Z
% 17.02/17.46 T := T
% 17.02/17.46 end
% 17.02/17.46 permutation0:
% 17.02/17.46 0 ==> 0
% 17.02/17.46 1 ==> 1
% 17.02/17.46 2 ==> 2
% 17.02/17.46 end
% 17.02/17.46
% 17.02/17.46 subsumption: (43) {G0,W29,D2,L5,V6,M5} I { ! cyclic( X, Y, U, Z ), ! cyclic
% 17.02/17.46 ( X, Y, U, T ), ! cyclic( X, Y, U, W ), ! eqangle( U, X, U, Y, W, Z, W, T
% 17.02/17.46 ), cong( X, Y, Z, T ) }.
% 17.02/17.46 parent0: (62406) {G0,W29,D2,L5,V6,M5} { ! cyclic( X, Y, U, Z ), ! cyclic(
% 17.02/17.46 X, Y, U, T ), ! cyclic( X, Y, U, W ), ! eqangle( U, X, U, Y, W, Z, W, T )
% 17.02/17.46 , cong( X, Y, Z, T ) }.
% 17.02/17.46 substitution0:
% 17.02/17.46 X := X
% 17.02/17.46 Y := Y
% 17.02/17.46 Z := Z
% 17.02/17.46 T := T
% 17.02/17.46 U := U
% 17.02/17.46 W := W
% 17.02/17.46 end
% 17.02/17.46 permutation0:
% 17.02/17.46 0 ==> 0
% 17.02/17.46 1 ==> 1
% 17.02/17.46 2 ==> 2
% 17.02/17.46 3 ==> 3
% 17.02/17.46 4 ==> 4
% 17.02/17.46 end
% 17.02/17.46
% 17.02/17.46 subsumption: (52) {G0,W14,D2,L3,V4,M3} I { ! perp( X, Y, Y, T ), ! midp( Z
% 17.02/17.46 , X, T ), cong( X, Z, Y, Z ) }.
% 17.02/17.46 parent0: (62415) {G0,W14,D2,L3,V4,M3} { ! perp( X, Y, Y, T ), ! midp( Z, X
% 17.02/17.46 , T ), cong( X, Z, Y, Z ) }.
% 17.02/17.46 substitution0:
% 17.02/17.46 X := X
% 17.02/17.46 Y := Y
% 17.02/17.46 Z := Z
% 17.02/17.46 T := T
% 17.02/17.46 end
% 17.02/17.46 permutation0:
% 17.02/17.46 0 ==> 0
% 17.02/17.46 1 ==> 1
% 17.02/17.46 2 ==> 2
% 17.02/17.46 end
% 17.02/17.46
% 17.02/17.46 subsumption: (56) {G0,W15,D2,L3,V4,M3} I { ! cong( X, Z, Y, Z ), ! cong( X
% 17.02/17.46 , T, Y, T ), perp( X, Y, Z, T ) }.
% 17.02/17.46 parent0: (62419) {G0,W15,D2,L3,V4,M3} { ! cong( X, Z, Y, Z ), ! cong( X, T
% 17.02/17.46 , Y, T ), perp( X, Y, Z, T ) }.
% 17.02/17.46 substitution0:
% 17.02/17.46 X := X
% 17.02/17.46 Y := Y
% 17.02/17.46 Z := Z
% 17.02/17.46 T := T
% 17.02/17.46 end
% 17.02/17.46 permutation0:
% 17.02/17.46 0 ==> 0
% 17.02/17.46 1 ==> 1
% 17.02/17.46 2 ==> 2
% 17.02/17.46 end
% 17.02/17.46
% 17.02/17.46 subsumption: (57) {G0,W20,D2,L4,V4,M4} I { ! cong( X, Y, T, Y ), ! cong( X
% 17.02/17.46 , Z, T, Z ), ! cyclic( X, T, Y, Z ), perp( Y, X, X, Z ) }.
% 17.02/17.46 parent0: (62420) {G0,W20,D2,L4,V4,M4} { ! cong( X, Y, T, Y ), ! cong( X, Z
% 17.02/17.46 , T, Z ), ! cyclic( X, T, Y, Z ), perp( Y, X, X, Z ) }.
% 17.02/17.46 substitution0:
% 17.02/17.46 X := X
% 17.02/17.46 Y := Y
% 17.02/17.46 Z := Z
% 17.02/17.46 T := T
% 17.02/17.46 end
% 17.02/17.46 permutation0:
% 17.02/17.46 0 ==> 0
% 17.02/17.46 1 ==> 1
% 17.02/17.46 2 ==> 2
% 17.02/17.46 3 ==> 3
% 17.02/17.46 end
% 17.02/17.46
% 17.02/17.46 subsumption: (66) {G0,W9,D2,L2,V3,M2} I { ! para( X, Y, X, Z ), coll( X, Y
% 17.02/17.46 , Z ) }.
% 17.02/17.46 parent0: (62429) {G0,W9,D2,L2,V3,M2} { ! para( X, Y, X, Z ), coll( X, Y, Z
% 17.02/17.46 ) }.
% 17.02/17.46 substitution0:
% 17.02/17.46 X := X
% 17.02/17.46 Y := Y
% 17.02/17.46 Z := Z
% 17.02/17.46 end
% 17.02/17.46 permutation0:
% 17.02/17.46 0 ==> 0
% 17.02/17.46 1 ==> 1
% 17.02/17.46 end
% 17.02/17.46
% 17.02/17.46 subsumption: (67) {G0,W13,D2,L3,V3,M3} I { ! cong( X, Y, X, Z ), ! coll( X
% 17.02/17.46 , Y, Z ), midp( X, Y, Z ) }.
% 17.02/17.46 parent0: (62430) {G0,W13,D2,L3,V3,M3} { ! cong( X, Y, X, Z ), ! coll( X, Y
% 17.02/17.46 , Z ), midp( X, Y, Z ) }.
% 17.02/17.46 substitution0:
% 17.02/17.46 X := X
% 17.02/17.46 Y := Y
% 17.02/17.46 Z := Z
% 17.02/17.46 end
% 17.02/17.46 permutation0:
% 17.02/17.46 0 ==> 0
% 17.02/17.46 1 ==> 1
% 17.02/17.46 2 ==> 2
% 17.02/17.46 end
% 17.02/17.46
% 17.02/17.46 subsumption: (118) {G0,W5,D2,L1,V0,M1} I { perp( skol22, skol26, skol25,
% 17.02/17.46 skol27 ) }.
% 17.02/17.46 parent0: (62482) {G0,W5,D2,L1,V0,M1} { perp( skol22, skol26, skol25,
% 17.02/17.46 skol27 ) }.
% 17.02/17.46 substitution0:
% 17.02/17.46 end
% 17.02/17.46 permutation0:
% 17.02/17.46 0 ==> 0
% 17.02/17.46 end
% 17.02/17.46
% 17.02/17.46 subsumption: (121) {G0,W4,D2,L1,V0,M1} I { coll( skol23, skol26, skol22 )
% 17.02/17.46 }.
% 17.02/17.46 parent0: (62485) {G0,W4,D2,L1,V0,M1} { coll( skol23, skol26, skol22 ) }.
% 17.02/17.46 substitution0:
% 17.02/17.46 end
% 17.02/17.46 permutation0:
% 17.02/17.46 0 ==> 0
% 17.02/17.46 end
% 17.02/17.46
% 17.02/17.46 subsumption: (124) {G0,W9,D2,L1,V0,M1} I { ! eqangle( skol22, skol24,
% 17.02/17.46 skol24, skol23, skol23, skol24, skol24, skol20 ) }.
% 17.02/17.46 parent0: (62488) {G0,W9,D2,L1,V0,M1} { ! eqangle( skol22, skol24, skol24,
% 17.02/17.46 skol23, skol23, skol24, skol24, skol20 ) }.
% 17.02/17.46 substitution0:
% 17.02/17.46 end
% 17.02/17.46 permutation0:
% 17.02/17.46 0 ==> 0
% 17.02/17.46 end
% 17.02/17.46
% 17.02/17.46 resolution: (62909) {G1,W4,D2,L1,V0,M1} { coll( skol23, skol22, skol26 )
% 17.02/17.46 }.
% 17.02/17.46 parent0[0]: (0) {G0,W8,D2,L2,V3,M2} I { ! coll( X, Y, Z ), coll( X, Z, Y )
% 17.02/17.46 }.
% 17.02/17.46 parent1[0]: (121) {G0,W4,D2,L1,V0,M1} I { coll( skol23, skol26, skol22 )
% 17.02/17.46 }.
% 17.02/17.46 substitution0:
% 17.02/17.46 X := skol23
% 17.02/17.46 Y := skol26
% 17.02/17.46 Z := skol22
% 17.02/17.46 end
% 17.02/17.46 substitution1:
% 17.02/17.46 end
% 17.02/17.46
% 17.02/17.46 subsumption: (165) {G1,W4,D2,L1,V0,M1} R(0,121) { coll( skol23, skol22,
% 17.02/17.46 skol26 ) }.
% 17.02/17.46 parent0: (62909) {G1,W4,D2,L1,V0,M1} { coll( skol23, skol22, skol26 ) }.
% 17.02/17.46 substitution0:
% 17.02/17.46 end
% 17.02/17.46 permutation0:
% 17.02/17.46 0 ==> 0
% 17.02/17.46 end
% 17.02/17.46
% 17.02/17.46 resolution: (62910) {G1,W4,D2,L1,V0,M1} { coll( skol22, skol23, skol26 )
% 17.02/17.46 }.
% 17.02/17.46 parent0[0]: (1) {G0,W8,D2,L2,V3,M2} I { ! coll( X, Y, Z ), coll( Y, X, Z )
% 17.02/17.46 }.
% 17.02/17.46 parent1[0]: (165) {G1,W4,D2,L1,V0,M1} R(0,121) { coll( skol23, skol22,
% 17.02/17.46 skol26 ) }.
% 17.02/17.46 substitution0:
% 17.02/17.46 X := skol23
% 17.02/17.46 Y := skol22
% 17.02/17.46 Z := skol26
% 17.02/17.46 end
% 17.02/17.46 substitution1:
% 17.02/17.46 end
% 17.02/17.46
% 17.02/17.46 subsumption: (167) {G2,W4,D2,L1,V0,M1} R(1,165) { coll( skol22, skol23,
% 17.02/17.46 skol26 ) }.
% 17.02/17.46 parent0: (62910) {G1,W4,D2,L1,V0,M1} { coll( skol22, skol23, skol26 ) }.
% 17.02/17.46 substitution0:
% 17.02/17.46 end
% 17.02/17.46 permutation0:
% 17.02/17.46 0 ==> 0
% 17.02/17.46 end
% 17.02/17.46
% 17.02/17.46 resolution: (62914) {G1,W12,D2,L3,V4,M3} { coll( X, Z, Y ), ! coll( Z, T,
% 17.02/17.46 X ), ! coll( Z, T, Y ) }.
% 17.02/17.46 parent0[0]: (0) {G0,W8,D2,L2,V3,M2} I { ! coll( X, Y, Z ), coll( X, Z, Y )
% 17.02/17.46 }.
% 17.02/17.46 parent1[2]: (2) {G0,W12,D2,L3,V4,M3} I { ! coll( X, T, Y ), ! coll( X, T, Z
% 17.02/17.46 ), coll( Y, Z, X ) }.
% 17.02/17.46 substitution0:
% 17.02/17.46 X := X
% 17.02/17.46 Y := Y
% 17.02/17.46 Z := Z
% 17.02/17.46 end
% 17.02/17.46 substitution1:
% 17.02/17.46 X := Z
% 17.02/17.46 Y := X
% 17.02/17.46 Z := Y
% 17.02/17.46 T := T
% 17.02/17.46 end
% 17.02/17.46
% 17.02/17.46 subsumption: (203) {G1,W12,D2,L3,V4,M3} R(2,0) { ! coll( X, Y, Z ), ! coll
% 17.02/17.46 ( X, Y, T ), coll( Z, X, T ) }.
% 17.02/17.46 parent0: (62914) {G1,W12,D2,L3,V4,M3} { coll( X, Z, Y ), ! coll( Z, T, X )
% 17.02/17.46 , ! coll( Z, T, Y ) }.
% 17.02/17.46 substitution0:
% 17.02/17.46 X := Z
% 17.02/17.46 Y := T
% 17.02/17.46 Z := X
% 17.02/17.46 T := Y
% 17.02/17.46 end
% 17.02/17.46 permutation0:
% 17.02/17.46 0 ==> 2
% 17.02/17.46 1 ==> 0
% 17.02/17.46 2 ==> 1
% 17.02/17.46 end
% 17.02/17.46
% 17.02/17.46 factor: (62916) {G1,W8,D2,L2,V3,M2} { ! coll( X, Y, Z ), coll( Z, X, Z )
% 17.02/17.46 }.
% 17.02/17.46 parent0[0, 1]: (203) {G1,W12,D2,L3,V4,M3} R(2,0) { ! coll( X, Y, Z ), !
% 17.02/17.46 coll( X, Y, T ), coll( Z, X, T ) }.
% 17.02/17.46 substitution0:
% 17.02/17.46 X := X
% 17.02/17.46 Y := Y
% 17.02/17.46 Z := Z
% 17.02/17.46 T := Z
% 17.02/17.46 end
% 17.02/17.46
% 17.02/17.46 subsumption: (214) {G2,W8,D2,L2,V3,M2} F(203) { ! coll( X, Y, Z ), coll( Z
% 17.02/17.46 , X, Z ) }.
% 17.02/17.46 parent0: (62916) {G1,W8,D2,L2,V3,M2} { ! coll( X, Y, Z ), coll( Z, X, Z )
% 17.02/17.46 }.
% 17.02/17.46 substitution0:
% 17.02/17.46 X := X
% 17.02/17.46 Y := Y
% 17.02/17.46 Z := Z
% 17.02/17.46 end
% 17.02/17.46 permutation0:
% 17.02/17.46 0 ==> 0
% 17.02/17.46 1 ==> 1
% 17.02/17.46 end
% 17.02/17.46
% 17.02/17.46 resolution: (62917) {G1,W5,D2,L1,V0,M1} { perp( skol25, skol27, skol22,
% 17.02/17.46 skol26 ) }.
% 17.02/17.46 parent0[0]: (7) {G0,W10,D2,L2,V4,M2} I { ! perp( X, Y, Z, T ), perp( Z, T,
% 17.02/17.46 X, Y ) }.
% 17.02/17.46 parent1[0]: (118) {G0,W5,D2,L1,V0,M1} I { perp( skol22, skol26, skol25,
% 17.02/17.46 skol27 ) }.
% 17.02/17.46 substitution0:
% 17.02/17.46 X := skol22
% 17.02/17.46 Y := skol26
% 17.02/17.46 Z := skol25
% 17.02/17.46 T := skol27
% 17.02/17.46 end
% 17.02/17.46 substitution1:
% 17.02/17.46 end
% 17.02/17.46
% 17.02/17.46 subsumption: (271) {G1,W5,D2,L1,V0,M1} R(7,118) { perp( skol25, skol27,
% 17.02/17.46 skol22, skol26 ) }.
% 17.02/17.46 parent0: (62917) {G1,W5,D2,L1,V0,M1} { perp( skol25, skol27, skol22,
% 17.02/17.46 skol26 ) }.
% 17.02/17.46 substitution0:
% 17.02/17.46 end
% 17.02/17.46 permutation0:
% 17.02/17.46 0 ==> 0
% 17.02/17.46 end
% 17.02/17.46
% 17.02/17.46 resolution: (62918) {G1,W5,D2,L1,V0,M1} { perp( skol25, skol27, skol26,
% 17.02/17.46 skol22 ) }.
% 17.02/17.46 parent0[0]: (6) {G0,W10,D2,L2,V4,M2} I { ! perp( X, Y, Z, T ), perp( X, Y,
% 17.02/17.46 T, Z ) }.
% 17.02/17.47 parent1[0]: (271) {G1,W5,D2,L1,V0,M1} R(7,118) { perp( skol25, skol27,
% 17.02/17.47 skol22, skol26 ) }.
% 17.02/17.47 substitution0:
% 17.02/17.47 X := skol25
% 17.02/17.47 Y := skol27
% 17.02/17.47 Z := skol22
% 17.02/17.47 T := skol26
% 17.02/17.47 end
% 17.02/17.47 substitution1:
% 17.02/17.47 end
% 17.02/17.47
% 17.02/17.47 subsumption: (276) {G2,W5,D2,L1,V0,M1} R(271,6) { perp( skol25, skol27,
% 17.02/17.47 skol26, skol22 ) }.
% 17.02/17.47 parent0: (62918) {G1,W5,D2,L1,V0,M1} { perp( skol25, skol27, skol26,
% 17.02/17.47 skol22 ) }.
% 17.02/17.47 substitution0:
% 17.02/17.47 end
% 17.02/17.47 permutation0:
% 17.02/17.47 0 ==> 0
% 17.02/17.47 end
% 17.02/17.47
% 17.02/17.47 resolution: (62919) {G1,W5,D2,L1,V0,M1} { perp( skol26, skol22, skol25,
% 17.02/17.47 skol27 ) }.
% 17.02/17.47 parent0[0]: (7) {G0,W10,D2,L2,V4,M2} I { ! perp( X, Y, Z, T ), perp( Z, T,
% 17.02/17.47 X, Y ) }.
% 17.02/17.47 parent1[0]: (276) {G2,W5,D2,L1,V0,M1} R(271,6) { perp( skol25, skol27,
% 17.02/17.47 skol26, skol22 ) }.
% 17.02/17.47 substitution0:
% 17.02/17.47 X := skol25
% 17.02/17.47 Y := skol27
% 17.02/17.47 Z := skol26
% 17.02/17.47 T := skol22
% 17.02/17.47 end
% 17.02/17.47 substitution1:
% 17.02/17.47 end
% 17.02/17.47
% 17.02/17.47 subsumption: (277) {G3,W5,D2,L1,V0,M1} R(276,7) { perp( skol26, skol22,
% 17.02/17.47 skol25, skol27 ) }.
% 17.02/17.47 parent0: (62919) {G1,W5,D2,L1,V0,M1} { perp( skol26, skol22, skol25,
% 17.02/17.47 skol27 ) }.
% 17.02/17.47 substitution0:
% 17.02/17.47 end
% 17.02/17.47 permutation0:
% 17.02/17.47 0 ==> 0
% 17.02/17.47 end
% 17.02/17.47
% 17.02/17.47 resolution: (62920) {G1,W5,D2,L1,V0,M1} { perp( skol26, skol22, skol27,
% 17.02/17.47 skol25 ) }.
% 17.02/17.47 parent0[0]: (6) {G0,W10,D2,L2,V4,M2} I { ! perp( X, Y, Z, T ), perp( X, Y,
% 17.02/17.47 T, Z ) }.
% 17.02/17.47 parent1[0]: (277) {G3,W5,D2,L1,V0,M1} R(276,7) { perp( skol26, skol22,
% 17.02/17.47 skol25, skol27 ) }.
% 17.02/17.47 substitution0:
% 17.02/17.47 X := skol26
% 17.02/17.47 Y := skol22
% 17.02/17.47 Z := skol25
% 17.02/17.47 T := skol27
% 17.02/17.47 end
% 17.02/17.47 substitution1:
% 17.02/17.47 end
% 17.02/17.47
% 17.02/17.47 subsumption: (278) {G4,W5,D2,L1,V0,M1} R(277,6) { perp( skol26, skol22,
% 17.02/17.47 skol27, skol25 ) }.
% 17.02/17.47 parent0: (62920) {G1,W5,D2,L1,V0,M1} { perp( skol26, skol22, skol27,
% 17.02/17.47 skol25 ) }.
% 17.02/17.47 substitution0:
% 17.02/17.47 end
% 17.02/17.47 permutation0:
% 17.02/17.47 0 ==> 0
% 17.02/17.47 end
% 17.02/17.47
% 17.02/17.47 resolution: (62921) {G1,W5,D2,L1,V0,M1} { perp( skol27, skol25, skol26,
% 17.02/17.47 skol22 ) }.
% 17.02/17.47 parent0[0]: (7) {G0,W10,D2,L2,V4,M2} I { ! perp( X, Y, Z, T ), perp( Z, T,
% 17.02/17.47 X, Y ) }.
% 17.02/17.47 parent1[0]: (278) {G4,W5,D2,L1,V0,M1} R(277,6) { perp( skol26, skol22,
% 17.02/17.47 skol27, skol25 ) }.
% 17.02/17.47 substitution0:
% 17.02/17.47 X := skol26
% 17.02/17.47 Y := skol22
% 17.02/17.47 Z := skol27
% 17.02/17.47 T := skol25
% 17.02/17.47 end
% 17.02/17.47 substitution1:
% 17.02/17.47 end
% 17.02/17.47
% 17.02/17.47 subsumption: (279) {G5,W5,D2,L1,V0,M1} R(278,7) { perp( skol27, skol25,
% 17.02/17.47 skol26, skol22 ) }.
% 17.02/17.47 parent0: (62921) {G1,W5,D2,L1,V0,M1} { perp( skol27, skol25, skol26,
% 17.02/17.47 skol22 ) }.
% 17.02/17.47 substitution0:
% 17.02/17.47 end
% 17.02/17.47 permutation0:
% 17.02/17.47 0 ==> 0
% 17.02/17.47 end
% 17.02/17.47
% 17.02/17.47 resolution: (62922) {G1,W10,D2,L2,V2,M2} { ! perp( skol27, skol25, X, Y )
% 17.02/17.47 , para( skol26, skol22, X, Y ) }.
% 17.02/17.47 parent0[0]: (8) {G0,W15,D2,L3,V6,M3} I { ! perp( X, Y, U, W ), ! perp( U, W
% 17.02/17.47 , Z, T ), para( X, Y, Z, T ) }.
% 17.02/17.47 parent1[0]: (278) {G4,W5,D2,L1,V0,M1} R(277,6) { perp( skol26, skol22,
% 17.02/17.47 skol27, skol25 ) }.
% 17.02/17.47 substitution0:
% 17.02/17.47 X := skol26
% 17.02/17.47 Y := skol22
% 17.02/17.47 Z := X
% 17.02/17.47 T := Y
% 17.02/17.47 U := skol27
% 17.02/17.47 W := skol25
% 17.02/17.47 end
% 17.02/17.47 substitution1:
% 17.02/17.47 end
% 17.02/17.47
% 17.02/17.47 subsumption: (280) {G5,W10,D2,L2,V2,M2} R(8,278) { ! perp( skol27, skol25,
% 17.02/17.47 X, Y ), para( skol26, skol22, X, Y ) }.
% 17.02/17.47 parent0: (62922) {G1,W10,D2,L2,V2,M2} { ! perp( skol27, skol25, X, Y ),
% 17.02/17.47 para( skol26, skol22, X, Y ) }.
% 17.02/17.47 substitution0:
% 17.02/17.47 X := X
% 17.02/17.47 Y := Y
% 17.02/17.47 end
% 17.02/17.47 permutation0:
% 17.02/17.47 0 ==> 0
% 17.02/17.47 1 ==> 1
% 17.02/17.47 end
% 17.02/17.47
% 17.02/17.47 resolution: (62924) {G1,W15,D2,L3,V6,M3} { para( Z, T, X, Y ), ! perp( X,
% 17.02/17.47 Y, U, W ), ! perp( U, W, Z, T ) }.
% 17.02/17.47 parent0[0]: (4) {G0,W10,D2,L2,V4,M2} I { ! para( X, Y, Z, T ), para( Z, T,
% 17.02/17.47 X, Y ) }.
% 17.02/17.47 parent1[2]: (8) {G0,W15,D2,L3,V6,M3} I { ! perp( X, Y, U, W ), ! perp( U, W
% 17.02/17.47 , Z, T ), para( X, Y, Z, T ) }.
% 17.02/17.47 substitution0:
% 17.02/17.47 X := X
% 17.02/17.47 Y := Y
% 17.02/17.47 Z := Z
% 17.02/17.47 T := T
% 17.02/17.47 end
% 17.02/17.47 substitution1:
% 17.02/17.47 X := X
% 17.02/17.47 Y := Y
% 17.02/17.47 Z := Z
% 17.02/17.47 T := T
% 17.02/17.47 U := U
% 17.02/17.47 W := W
% 17.02/17.47 end
% 17.02/17.47
% 17.02/17.47 subsumption: (300) {G1,W15,D2,L3,V6,M3} R(8,4) { ! perp( X, Y, Z, T ), !
% 17.02/17.47 perp( Z, T, U, W ), para( U, W, X, Y ) }.
% 17.02/17.47 parent0: (62924) {G1,W15,D2,L3,V6,M3} { para( Z, T, X, Y ), ! perp( X, Y,
% 17.02/17.47 U, W ), ! perp( U, W, Z, T ) }.
% 17.02/17.47 substitution0:
% 17.02/17.47 X := X
% 17.02/17.47 Y := Y
% 17.02/17.47 Z := U
% 17.02/17.47 T := W
% 17.02/17.47 U := Z
% 17.02/17.47 W := T
% 17.02/17.47 end
% 17.02/17.47 permutation0:
% 17.02/17.47 0 ==> 2
% 17.02/17.47 1 ==> 0
% 17.02/17.47 2 ==> 1
% 17.02/17.47 end
% 17.02/17.47
% 17.02/17.47 resolution: (62926) {G3,W4,D2,L1,V0,M1} { coll( skol26, skol22, skol26 )
% 17.02/17.47 }.
% 17.02/17.47 parent0[0]: (214) {G2,W8,D2,L2,V3,M2} F(203) { ! coll( X, Y, Z ), coll( Z,
% 17.02/17.47 X, Z ) }.
% 17.02/17.47 parent1[0]: (167) {G2,W4,D2,L1,V0,M1} R(1,165) { coll( skol22, skol23,
% 17.02/17.47 skol26 ) }.
% 17.02/17.47 substitution0:
% 17.02/17.47 X := skol22
% 17.02/17.47 Y := skol23
% 17.02/17.47 Z := skol26
% 17.02/17.47 end
% 17.02/17.47 substitution1:
% 17.02/17.47 end
% 17.02/17.47
% 17.02/17.47 subsumption: (406) {G3,W4,D2,L1,V0,M1} R(214,167) { coll( skol26, skol22,
% 17.02/17.47 skol26 ) }.
% 17.02/17.47 parent0: (62926) {G3,W4,D2,L1,V0,M1} { coll( skol26, skol22, skol26 ) }.
% 17.02/17.47 substitution0:
% 17.02/17.47 end
% 17.02/17.47 permutation0:
% 17.02/17.47 0 ==> 0
% 17.02/17.47 end
% 17.02/17.47
% 17.02/17.47 resolution: (62928) {G1,W10,D2,L2,V4,M2} { cyclic( X, Y, T, Z ), ! cyclic
% 17.02/17.47 ( X, Z, Y, T ) }.
% 17.02/17.47 parent0[0]: (13) {G0,W10,D2,L2,V4,M2} I { ! cyclic( X, Y, Z, T ), cyclic( X
% 17.02/17.47 , Y, T, Z ) }.
% 17.02/17.47 parent1[1]: (14) {G0,W10,D2,L2,V4,M2} I { ! cyclic( X, Y, Z, T ), cyclic( X
% 17.02/17.47 , Z, Y, T ) }.
% 17.02/17.47 substitution0:
% 17.02/17.47 X := X
% 17.02/17.47 Y := Y
% 17.02/17.47 Z := Z
% 17.02/17.47 T := T
% 17.02/17.47 end
% 17.02/17.47 substitution1:
% 17.02/17.47 X := X
% 17.02/17.47 Y := Z
% 17.02/17.47 Z := Y
% 17.02/17.47 T := T
% 17.02/17.47 end
% 17.02/17.47
% 17.02/17.47 subsumption: (432) {G1,W10,D2,L2,V4,M2} R(14,13) { ! cyclic( X, Y, Z, T ),
% 17.02/17.47 cyclic( X, Z, T, Y ) }.
% 17.02/17.47 parent0: (62928) {G1,W10,D2,L2,V4,M2} { cyclic( X, Y, T, Z ), ! cyclic( X
% 17.02/17.47 , Z, Y, T ) }.
% 17.02/17.47 substitution0:
% 17.02/17.47 X := X
% 17.02/17.47 Y := Z
% 17.02/17.47 Z := Y
% 17.02/17.47 T := T
% 17.02/17.47 end
% 17.02/17.47 permutation0:
% 17.02/17.47 0 ==> 1
% 17.02/17.47 1 ==> 0
% 17.02/17.47 end
% 17.02/17.47
% 17.02/17.47 resolution: (62929) {G1,W10,D2,L2,V4,M2} { cyclic( Y, X, Z, T ), ! cyclic
% 17.02/17.47 ( X, Z, Y, T ) }.
% 17.02/17.47 parent0[0]: (15) {G0,W10,D2,L2,V4,M2} I { ! cyclic( X, Y, Z, T ), cyclic( Y
% 17.02/17.47 , X, Z, T ) }.
% 17.02/17.47 parent1[1]: (14) {G0,W10,D2,L2,V4,M2} I { ! cyclic( X, Y, Z, T ), cyclic( X
% 17.02/17.47 , Z, Y, T ) }.
% 17.02/17.47 substitution0:
% 17.02/17.47 X := X
% 17.02/17.47 Y := Y
% 17.02/17.47 Z := Z
% 17.02/17.47 T := T
% 17.02/17.47 end
% 17.02/17.47 substitution1:
% 17.02/17.47 X := X
% 17.02/17.47 Y := Z
% 17.02/17.47 Z := Y
% 17.02/17.47 T := T
% 17.02/17.47 end
% 17.02/17.47
% 17.02/17.47 subsumption: (440) {G1,W10,D2,L2,V4,M2} R(15,14) { cyclic( X, Y, Z, T ), !
% 17.02/17.47 cyclic( Y, Z, X, T ) }.
% 17.02/17.47 parent0: (62929) {G1,W10,D2,L2,V4,M2} { cyclic( Y, X, Z, T ), ! cyclic( X
% 17.02/17.47 , Z, Y, T ) }.
% 17.02/17.47 substitution0:
% 17.02/17.47 X := Y
% 17.02/17.47 Y := X
% 17.02/17.47 Z := Z
% 17.02/17.47 T := T
% 17.02/17.47 end
% 17.02/17.47 permutation0:
% 17.02/17.47 0 ==> 0
% 17.02/17.47 1 ==> 1
% 17.02/17.47 end
% 17.02/17.47
% 17.02/17.47 resolution: (62930) {G1,W10,D2,L2,V4,M2} { cyclic( Y, X, Z, T ), ! cyclic
% 17.02/17.47 ( X, Y, T, Z ) }.
% 17.02/17.47 parent0[0]: (15) {G0,W10,D2,L2,V4,M2} I { ! cyclic( X, Y, Z, T ), cyclic( Y
% 17.02/17.47 , X, Z, T ) }.
% 17.02/17.47 parent1[1]: (13) {G0,W10,D2,L2,V4,M2} I { ! cyclic( X, Y, Z, T ), cyclic( X
% 17.02/17.47 , Y, T, Z ) }.
% 17.02/17.47 substitution0:
% 17.02/17.47 X := X
% 17.02/17.47 Y := Y
% 17.02/17.47 Z := Z
% 17.02/17.47 T := T
% 17.02/17.47 end
% 17.02/17.47 substitution1:
% 17.02/17.47 X := X
% 17.02/17.47 Y := Y
% 17.02/17.47 Z := T
% 17.02/17.47 T := Z
% 17.02/17.47 end
% 17.02/17.47
% 17.02/17.47 subsumption: (442) {G1,W10,D2,L2,V4,M2} R(15,13) { cyclic( X, Y, Z, T ), !
% 17.02/17.47 cyclic( Y, X, T, Z ) }.
% 17.02/17.47 parent0: (62930) {G1,W10,D2,L2,V4,M2} { cyclic( Y, X, Z, T ), ! cyclic( X
% 17.02/17.47 , Y, T, Z ) }.
% 17.02/17.47 substitution0:
% 17.02/17.47 X := Y
% 17.02/17.47 Y := X
% 17.02/17.47 Z := Z
% 17.02/17.47 T := T
% 17.02/17.47 end
% 17.02/17.47 permutation0:
% 17.02/17.47 0 ==> 0
% 17.02/17.47 1 ==> 1
% 17.02/17.47 end
% 17.02/17.47
% 17.02/17.47 resolution: (62934) {G1,W15,D2,L3,V5,M3} { cyclic( Y, X, Z, T ), ! cyclic
% 17.02/17.47 ( U, X, Y, Z ), ! cyclic( U, X, Y, T ) }.
% 17.02/17.47 parent0[0]: (15) {G0,W10,D2,L2,V4,M2} I { ! cyclic( X, Y, Z, T ), cyclic( Y
% 17.02/17.47 , X, Z, T ) }.
% 17.02/17.47 parent1[2]: (16) {G0,W15,D2,L3,V5,M3} I { ! cyclic( U, X, Y, Z ), ! cyclic
% 17.02/17.47 ( U, X, Y, T ), cyclic( X, Y, Z, T ) }.
% 17.02/17.47 substitution0:
% 17.02/17.47 X := X
% 17.02/17.47 Y := Y
% 17.02/17.47 Z := Z
% 17.02/17.47 T := T
% 17.02/17.47 end
% 17.02/17.47 substitution1:
% 17.02/17.47 X := X
% 17.02/17.47 Y := Y
% 17.02/17.47 Z := Z
% 17.02/17.47 T := T
% 17.02/17.47 U := U
% 17.02/17.47 end
% 17.02/17.47
% 17.02/17.47 subsumption: (460) {G1,W15,D2,L3,V5,M3} R(16,15) { ! cyclic( X, Y, Z, T ),
% 17.02/17.47 ! cyclic( X, Y, Z, U ), cyclic( Z, Y, T, U ) }.
% 17.02/17.47 parent0: (62934) {G1,W15,D2,L3,V5,M3} { cyclic( Y, X, Z, T ), ! cyclic( U
% 17.02/17.47 , X, Y, Z ), ! cyclic( U, X, Y, T ) }.
% 17.02/17.47 substitution0:
% 17.02/17.47 X := Y
% 17.02/17.47 Y := Z
% 17.02/17.47 Z := T
% 17.02/17.47 T := U
% 17.02/17.47 U := X
% 17.02/17.47 end
% 17.02/17.47 permutation0:
% 17.02/17.47 0 ==> 2
% 17.02/17.47 1 ==> 0
% 17.02/17.47 2 ==> 1
% 17.02/17.47 end
% 17.02/17.47
% 17.02/17.47 resolution: (62937) {G1,W15,D2,L3,V5,M3} { ! cyclic( X, Y, Z, T ), cyclic
% 17.02/17.47 ( Y, Z, T, U ), ! cyclic( X, Y, U, Z ) }.
% 17.02/17.47 parent0[1]: (16) {G0,W15,D2,L3,V5,M3} I { ! cyclic( U, X, Y, Z ), ! cyclic
% 17.02/17.47 ( U, X, Y, T ), cyclic( X, Y, Z, T ) }.
% 17.02/17.47 parent1[1]: (13) {G0,W10,D2,L2,V4,M2} I { ! cyclic( X, Y, Z, T ), cyclic( X
% 17.02/17.47 , Y, T, Z ) }.
% 17.02/17.47 substitution0:
% 17.02/17.47 X := Y
% 17.02/17.47 Y := Z
% 17.02/17.47 Z := T
% 17.02/17.47 T := U
% 17.02/17.47 U := X
% 17.02/17.47 end
% 17.02/17.47 substitution1:
% 17.02/17.47 X := X
% 17.02/17.47 Y := Y
% 17.02/17.47 Z := U
% 17.02/17.47 T := Z
% 17.02/17.47 end
% 17.02/17.47
% 17.02/17.47 subsumption: (465) {G1,W15,D2,L3,V5,M3} R(16,13) { ! cyclic( X, Y, Z, T ),
% 17.02/17.47 cyclic( Y, Z, T, U ), ! cyclic( X, Y, U, Z ) }.
% 17.02/17.47 parent0: (62937) {G1,W15,D2,L3,V5,M3} { ! cyclic( X, Y, Z, T ), cyclic( Y
% 17.02/17.47 , Z, T, U ), ! cyclic( X, Y, U, Z ) }.
% 17.02/17.47 substitution0:
% 17.02/17.47 X := X
% 17.02/17.47 Y := Y
% 17.02/17.47 Z := Z
% 17.02/17.47 T := T
% 17.02/17.47 U := U
% 17.02/17.47 end
% 17.02/17.47 permutation0:
% 17.02/17.47 0 ==> 0
% 17.02/17.47 1 ==> 1
% 17.02/17.47 2 ==> 2
% 17.02/17.47 end
% 17.02/17.47
% 17.02/17.47 factor: (62939) {G1,W10,D2,L2,V4,M2} { ! cyclic( X, Y, Z, T ), cyclic( Z,
% 17.02/17.47 Y, T, T ) }.
% 17.02/17.47 parent0[0, 1]: (460) {G1,W15,D2,L3,V5,M3} R(16,15) { ! cyclic( X, Y, Z, T )
% 17.02/17.47 , ! cyclic( X, Y, Z, U ), cyclic( Z, Y, T, U ) }.
% 17.02/17.47 substitution0:
% 17.02/17.47 X := X
% 17.02/17.47 Y := Y
% 17.02/17.47 Z := Z
% 17.02/17.47 T := T
% 17.02/17.47 U := T
% 17.02/17.47 end
% 17.02/17.47
% 17.02/17.47 subsumption: (469) {G2,W10,D2,L2,V4,M2} F(460) { ! cyclic( X, Y, Z, T ),
% 17.02/17.47 cyclic( Z, Y, T, T ) }.
% 17.02/17.47 parent0: (62939) {G1,W10,D2,L2,V4,M2} { ! cyclic( X, Y, Z, T ), cyclic( Z
% 17.02/17.47 , Y, T, T ) }.
% 17.02/17.47 substitution0:
% 17.02/17.47 X := X
% 17.02/17.47 Y := Y
% 17.02/17.47 Z := Z
% 17.02/17.47 T := T
% 17.02/17.47 end
% 17.02/17.47 permutation0:
% 17.02/17.47 0 ==> 0
% 17.02/17.47 1 ==> 1
% 17.02/17.47 end
% 17.02/17.47
% 17.02/17.47 resolution: (62941) {G1,W27,D2,L3,V12,M3} { ! eqangle( X, Y, Z, T, U, W,
% 17.02/17.47 V0, V1 ), eqangle( X, Y, Z, T, V2, V3, V4, V5 ), ! eqangle( U, W, V2, V3
% 17.02/17.47 , V0, V1, V4, V5 ) }.
% 17.02/17.47 parent0[1]: (21) {G0,W27,D2,L3,V12,M3} I { ! eqangle( X, Y, Z, T, V2, V3,
% 17.02/17.47 V4, V5 ), ! eqangle( V2, V3, V4, V5, U, W, V0, V1 ), eqangle( X, Y, Z, T
% 17.02/17.47 , U, W, V0, V1 ) }.
% 17.02/17.47 parent1[1]: (20) {G0,W18,D2,L2,V8,M2} I { ! eqangle( X, Y, Z, T, U, W, V0,
% 17.02/17.47 V1 ), eqangle( X, Y, U, W, Z, T, V0, V1 ) }.
% 17.02/17.47 substitution0:
% 17.02/17.47 X := X
% 17.02/17.47 Y := Y
% 17.02/17.47 Z := Z
% 17.02/17.47 T := T
% 17.02/17.47 U := V2
% 17.02/17.47 W := V3
% 17.02/17.47 V0 := V4
% 17.02/17.47 V1 := V5
% 17.02/17.47 V2 := U
% 17.02/17.47 V3 := W
% 17.02/17.47 V4 := V0
% 17.02/17.47 V5 := V1
% 17.02/17.47 end
% 17.02/17.47 substitution1:
% 17.02/17.47 X := U
% 17.02/17.47 Y := W
% 17.02/17.47 Z := V2
% 17.02/17.47 T := V3
% 17.02/17.47 U := V0
% 17.02/17.47 W := V1
% 17.02/17.47 V0 := V4
% 17.02/17.47 V1 := V5
% 17.02/17.47 end
% 17.02/17.47
% 17.02/17.47 subsumption: (519) {G1,W27,D2,L3,V12,M3} R(21,20) { ! eqangle( X, Y, Z, T,
% 17.02/17.47 U, W, V0, V1 ), eqangle( X, Y, Z, T, V2, V3, V4, V5 ), ! eqangle( U, W,
% 17.02/17.47 V2, V3, V0, V1, V4, V5 ) }.
% 17.02/17.47 parent0: (62941) {G1,W27,D2,L3,V12,M3} { ! eqangle( X, Y, Z, T, U, W, V0,
% 17.02/17.47 V1 ), eqangle( X, Y, Z, T, V2, V3, V4, V5 ), ! eqangle( U, W, V2, V3, V0
% 17.02/17.47 , V1, V4, V5 ) }.
% 17.02/17.47 substitution0:
% 17.02/17.47 X := X
% 17.02/17.47 Y := Y
% 17.02/17.47 Z := Z
% 17.02/17.47 T := T
% 17.02/17.47 U := U
% 17.02/17.47 W := W
% 17.02/17.47 V0 := V0
% 17.02/17.47 V1 := V1
% 17.02/17.47 V2 := V2
% 17.02/17.47 V3 := V3
% 17.02/17.47 V4 := V4
% 17.02/17.47 V5 := V5
% 17.02/17.47 end
% 17.02/17.47 permutation0:
% 17.02/17.47 0 ==> 0
% 17.02/17.47 1 ==> 1
% 17.02/17.47 2 ==> 2
% 17.02/17.47 end
% 17.02/17.47
% 17.02/17.47 resolution: (62944) {G1,W4,D2,L1,V0,M1} { coll( skol26, skol26, skol22 )
% 17.02/17.47 }.
% 17.02/17.47 parent0[0]: (0) {G0,W8,D2,L2,V3,M2} I { ! coll( X, Y, Z ), coll( X, Z, Y )
% 17.02/17.47 }.
% 17.02/17.47 parent1[0]: (406) {G3,W4,D2,L1,V0,M1} R(214,167) { coll( skol26, skol22,
% 17.02/17.47 skol26 ) }.
% 17.02/17.47 substitution0:
% 17.02/17.47 X := skol26
% 17.02/17.47 Y := skol22
% 17.02/17.47 Z := skol26
% 17.02/17.47 end
% 17.02/17.47 substitution1:
% 17.02/17.47 end
% 17.02/17.47
% 17.02/17.47 subsumption: (648) {G4,W4,D2,L1,V0,M1} R(406,0) { coll( skol26, skol26,
% 17.02/17.47 skol22 ) }.
% 17.02/17.47 parent0: (62944) {G1,W4,D2,L1,V0,M1} { coll( skol26, skol26, skol22 ) }.
% 17.02/17.47 substitution0:
% 17.02/17.47 end
% 17.02/17.47 permutation0:
% 17.02/17.47 0 ==> 0
% 17.02/17.47 end
% 17.02/17.47
% 17.02/17.47 resolution: (62945) {G1,W14,D2,L2,V6,M2} { eqangle( X, Y, U, W, Z, T, Z, T
% 17.02/17.47 ), ! para( X, Y, U, W ) }.
% 17.02/17.47 parent0[0]: (20) {G0,W18,D2,L2,V8,M2} I { ! eqangle( X, Y, Z, T, U, W, V0,
% 17.02/17.47 V1 ), eqangle( X, Y, U, W, Z, T, V0, V1 ) }.
% 17.02/17.47 parent1[1]: (39) {G0,W14,D2,L2,V6,M2} I { ! para( X, Y, Z, T ), eqangle( X
% 17.02/17.47 , Y, U, W, Z, T, U, W ) }.
% 17.02/17.47 substitution0:
% 17.02/17.47 X := X
% 17.02/17.47 Y := Y
% 17.02/17.47 Z := Z
% 17.02/17.47 T := T
% 17.02/17.47 U := U
% 17.02/17.47 W := W
% 17.02/17.47 V0 := Z
% 17.02/17.47 V1 := T
% 17.02/17.47 end
% 17.02/17.47 substitution1:
% 17.02/17.47 X := X
% 17.02/17.47 Y := Y
% 17.02/17.47 Z := U
% 17.02/17.47 T := W
% 17.02/17.47 U := Z
% 17.02/17.47 W := T
% 17.02/17.47 end
% 17.02/17.47
% 17.02/17.47 subsumption: (777) {G1,W14,D2,L2,V6,M2} R(39,20) { ! para( X, Y, Z, T ),
% 17.02/17.47 eqangle( X, Y, Z, T, U, W, U, W ) }.
% 17.02/17.47 parent0: (62945) {G1,W14,D2,L2,V6,M2} { eqangle( X, Y, U, W, Z, T, Z, T )
% 17.02/17.47 , ! para( X, Y, U, W ) }.
% 17.02/17.47 substitution0:
% 17.02/17.47 X := X
% 17.02/17.47 Y := Y
% 17.02/17.47 Z := U
% 17.02/17.47 T := W
% 17.02/17.47 U := Z
% 17.02/17.47 W := T
% 17.02/17.47 end
% 17.02/17.47 permutation0:
% 17.02/17.47 0 ==> 1
% 17.02/17.47 1 ==> 0
% 17.02/17.47 end
% 17.02/17.47
% 17.02/17.47 resolution: (62946) {G1,W14,D2,L2,V6,M2} { eqangle( Z, T, X, Y, Z, T, U, W
% 17.02/17.47 ), ! para( X, Y, U, W ) }.
% 17.02/17.47 parent0[0]: (18) {G0,W18,D2,L2,V8,M2} I { ! eqangle( X, Y, Z, T, U, W, V0,
% 17.02/17.47 V1 ), eqangle( Z, T, X, Y, V0, V1, U, W ) }.
% 17.02/17.47 parent1[1]: (39) {G0,W14,D2,L2,V6,M2} I { ! para( X, Y, Z, T ), eqangle( X
% 17.02/17.47 , Y, U, W, Z, T, U, W ) }.
% 17.02/17.47 substitution0:
% 17.02/17.47 X := X
% 17.02/17.47 Y := Y
% 17.02/17.47 Z := Z
% 17.02/17.47 T := T
% 17.02/17.47 U := U
% 17.02/17.47 W := W
% 17.02/17.47 V0 := Z
% 17.02/17.47 V1 := T
% 17.02/17.47 end
% 17.02/17.47 substitution1:
% 17.02/17.47 X := X
% 17.02/17.47 Y := Y
% 17.02/17.47 Z := U
% 17.02/17.47 T := W
% 17.02/17.47 U := Z
% 17.02/17.47 W := T
% 17.02/17.47 end
% 17.02/17.47
% 17.02/17.47 subsumption: (779) {G1,W14,D2,L2,V6,M2} R(39,18) { ! para( X, Y, Z, T ),
% 17.02/17.47 eqangle( U, W, X, Y, U, W, Z, T ) }.
% 17.02/17.47 parent0: (62946) {G1,W14,D2,L2,V6,M2} { eqangle( Z, T, X, Y, Z, T, U, W )
% 17.02/17.47 , ! para( X, Y, U, W ) }.
% 17.02/17.47 substitution0:
% 17.02/17.47 X := X
% 17.02/17.47 Y := Y
% 17.02/17.47 Z := U
% 17.02/17.47 T := W
% 17.02/17.47 U := Z
% 17.02/17.47 W := T
% 17.02/17.47 end
% 17.02/17.47 permutation0:
% 17.02/17.47 0 ==> 1
% 17.02/17.47 1 ==> 0
% 17.02/17.47 end
% 17.02/17.47
% 17.02/17.47 resolution: (62947) {G1,W10,D2,L2,V3,M2} { para( X, Y, X, Y ), ! cyclic( Y
% 17.02/17.47 , Z, X, X ) }.
% 17.02/17.47 parent0[0]: (38) {G0,W14,D2,L2,V6,M2} I { ! eqangle( X, Y, U, W, Z, T, U, W
% 17.02/17.47 ), para( X, Y, Z, T ) }.
% 17.02/17.47 parent1[1]: (40) {G0,W14,D2,L2,V4,M2} I { ! cyclic( X, Y, Z, T ), eqangle(
% 17.02/17.47 Z, X, Z, Y, T, X, T, Y ) }.
% 17.02/17.47 substitution0:
% 17.02/17.47 X := X
% 17.02/17.47 Y := Y
% 17.02/17.47 Z := X
% 17.02/17.47 T := Y
% 17.02/17.47 U := X
% 17.02/17.47 W := Z
% 17.02/17.47 end
% 17.02/17.47 substitution1:
% 17.02/17.47 X := Y
% 17.02/17.47 Y := Z
% 17.02/17.47 Z := X
% 17.02/17.47 T := X
% 17.02/17.47 end
% 17.02/17.47
% 17.02/17.47 subsumption: (799) {G1,W10,D2,L2,V3,M2} R(40,38) { ! cyclic( X, Y, Z, Z ),
% 17.02/17.47 para( Z, X, Z, X ) }.
% 17.02/17.47 parent0: (62947) {G1,W10,D2,L2,V3,M2} { para( X, Y, X, Y ), ! cyclic( Y, Z
% 17.02/17.47 , X, X ) }.
% 17.02/17.47 substitution0:
% 17.02/17.47 X := Z
% 17.02/17.47 Y := X
% 17.02/17.47 Z := Y
% 17.02/17.47 end
% 17.02/17.47 permutation0:
% 17.02/17.47 0 ==> 1
% 17.02/17.47 1 ==> 0
% 17.02/17.47 end
% 17.02/17.47
% 17.02/17.47 resolution: (62948) {G1,W14,D2,L2,V1,M2} { ! eqangle( skol26, X, skol26,
% 17.02/17.47 skol22, skol26, X, skol26, skol22 ), cyclic( X, skol22, skol26, skol26 )
% 17.02/17.47 }.
% 17.02/17.47 parent0[1]: (42) {G0,W18,D2,L3,V4,M3} I { ! eqangle( Z, X, Z, Y, T, X, T, Y
% 17.02/17.47 ), ! coll( Z, T, Y ), cyclic( X, Y, Z, T ) }.
% 17.02/17.47 parent1[0]: (648) {G4,W4,D2,L1,V0,M1} R(406,0) { coll( skol26, skol26,
% 17.02/17.47 skol22 ) }.
% 17.02/17.47 substitution0:
% 17.02/17.47 X := X
% 17.02/17.47 Y := skol22
% 17.02/17.47 Z := skol26
% 17.02/17.47 T := skol26
% 17.02/17.47 end
% 17.02/17.47 substitution1:
% 17.02/17.47 end
% 17.02/17.47
% 17.02/17.47 subsumption: (861) {G5,W14,D2,L2,V1,M2} R(42,648) { ! eqangle( skol26, X,
% 17.02/17.47 skol26, skol22, skol26, X, skol26, skol22 ), cyclic( X, skol22, skol26,
% 17.02/17.47 skol26 ) }.
% 17.02/17.47 parent0: (62948) {G1,W14,D2,L2,V1,M2} { ! eqangle( skol26, X, skol26,
% 17.02/17.47 skol22, skol26, X, skol26, skol22 ), cyclic( X, skol22, skol26, skol26 )
% 17.02/17.47 }.
% 17.02/17.47 substitution0:
% 17.02/17.47 X := X
% 17.02/17.47 end
% 17.02/17.47 permutation0:
% 17.02/17.47 0 ==> 0
% 17.02/17.47 1 ==> 1
% 17.02/17.47 end
% 17.02/17.47
% 17.02/17.47 resolution: (62949) {G1,W25,D2,L5,V4,M5} { ! cyclic( X, Y, Z, X ), !
% 17.02/17.47 cyclic( X, Y, Z, Y ), ! cyclic( X, Y, Z, T ), cong( X, Y, X, Y ), !
% 17.02/17.47 cyclic( X, Y, Z, T ) }.
% 17.02/17.47 parent0[3]: (43) {G0,W29,D2,L5,V6,M5} I { ! cyclic( X, Y, U, Z ), ! cyclic
% 17.02/17.47 ( X, Y, U, T ), ! cyclic( X, Y, U, W ), ! eqangle( U, X, U, Y, W, Z, W, T
% 17.02/17.47 ), cong( X, Y, Z, T ) }.
% 17.02/17.47 parent1[1]: (40) {G0,W14,D2,L2,V4,M2} I { ! cyclic( X, Y, Z, T ), eqangle(
% 17.02/17.47 Z, X, Z, Y, T, X, T, Y ) }.
% 17.02/17.47 substitution0:
% 17.02/17.47 X := X
% 17.02/17.47 Y := Y
% 17.02/17.47 Z := X
% 17.02/17.47 T := Y
% 17.02/17.47 U := Z
% 17.02/17.47 W := T
% 17.02/17.47 end
% 17.02/17.47 substitution1:
% 17.02/17.47 X := X
% 17.02/17.47 Y := Y
% 17.02/17.47 Z := Z
% 17.02/17.47 T := T
% 17.02/17.47 end
% 17.02/17.47
% 17.02/17.47 factor: (62951) {G1,W20,D2,L4,V3,M4} { ! cyclic( X, Y, Z, X ), ! cyclic( X
% 17.02/17.47 , Y, Z, Y ), cong( X, Y, X, Y ), ! cyclic( X, Y, Z, X ) }.
% 17.02/17.47 parent0[0, 2]: (62949) {G1,W25,D2,L5,V4,M5} { ! cyclic( X, Y, Z, X ), !
% 17.02/17.47 cyclic( X, Y, Z, Y ), ! cyclic( X, Y, Z, T ), cong( X, Y, X, Y ), !
% 17.02/17.47 cyclic( X, Y, Z, T ) }.
% 17.02/17.47 substitution0:
% 17.02/17.47 X := X
% 17.02/17.47 Y := Y
% 17.02/17.47 Z := Z
% 17.02/17.47 T := X
% 17.02/17.47 end
% 17.02/17.47
% 17.02/17.47 subsumption: (1016) {G1,W20,D2,L4,V4,M4} R(43,40);f { ! cyclic( X, Y, Z, X
% 17.02/17.47 ), ! cyclic( X, Y, Z, Y ), ! cyclic( X, Y, Z, T ), cong( X, Y, X, Y )
% 17.02/17.47 }.
% 17.02/17.47 parent0: (62951) {G1,W20,D2,L4,V3,M4} { ! cyclic( X, Y, Z, X ), ! cyclic(
% 17.02/17.47 X, Y, Z, Y ), cong( X, Y, X, Y ), ! cyclic( X, Y, Z, X ) }.
% 17.02/17.47 substitution0:
% 17.02/17.47 X := X
% 17.02/17.47 Y := Y
% 17.02/17.47 Z := Z
% 17.02/17.47 end
% 17.02/17.47 permutation0:
% 17.02/17.47 0 ==> 0
% 17.02/17.47 1 ==> 1
% 17.02/17.47 2 ==> 3
% 17.02/17.47 3 ==> 0
% 17.02/17.47 end
% 17.02/17.47
% 17.02/17.47 factor: (62956) {G1,W15,D2,L3,V3,M3} { ! cyclic( X, Y, Z, X ), ! cyclic( X
% 17.02/17.47 , Y, Z, Y ), cong( X, Y, X, Y ) }.
% 17.02/17.47 parent0[0, 2]: (1016) {G1,W20,D2,L4,V4,M4} R(43,40);f { ! cyclic( X, Y, Z,
% 17.02/17.47 X ), ! cyclic( X, Y, Z, Y ), ! cyclic( X, Y, Z, T ), cong( X, Y, X, Y )
% 17.02/17.47 }.
% 17.02/17.47 substitution0:
% 17.02/17.47 X := X
% 17.02/17.47 Y := Y
% 17.02/17.47 Z := Z
% 17.02/17.47 T := X
% 17.02/17.47 end
% 17.02/17.47
% 17.02/17.47 subsumption: (1048) {G2,W15,D2,L3,V3,M3} F(1016) { ! cyclic( X, Y, Z, X ),
% 17.02/17.47 ! cyclic( X, Y, Z, Y ), cong( X, Y, X, Y ) }.
% 17.02/17.47 parent0: (62956) {G1,W15,D2,L3,V3,M3} { ! cyclic( X, Y, Z, X ), ! cyclic(
% 17.02/17.47 X, Y, Z, Y ), cong( X, Y, X, Y ) }.
% 17.02/17.47 substitution0:
% 17.02/17.47 X := X
% 17.02/17.47 Y := Y
% 17.02/17.47 Z := Z
% 17.02/17.47 end
% 17.02/17.47 permutation0:
% 17.02/17.47 0 ==> 0
% 17.02/17.47 1 ==> 1
% 17.02/17.47 2 ==> 2
% 17.02/17.47 end
% 17.02/17.47
% 17.02/17.47 resolution: (62959) {G1,W20,D2,L4,V4,M4} { ! cong( X, Y, Z, Y ), ! cyclic
% 17.02/17.47 ( X, Z, Y, T ), perp( Y, X, X, T ), ! cong( Z, T, X, T ) }.
% 17.02/17.47 parent0[1]: (57) {G0,W20,D2,L4,V4,M4} I { ! cong( X, Y, T, Y ), ! cong( X,
% 17.02/17.47 Z, T, Z ), ! cyclic( X, T, Y, Z ), perp( Y, X, X, Z ) }.
% 17.02/17.47 parent1[1]: (23) {G0,W10,D2,L2,V4,M2} I { ! cong( X, Y, Z, T ), cong( Z, T
% 17.02/17.47 , X, Y ) }.
% 17.02/17.47 substitution0:
% 17.02/17.47 X := X
% 17.02/17.47 Y := Y
% 17.02/17.47 Z := T
% 17.02/17.47 T := Z
% 17.02/17.47 end
% 17.02/17.47 substitution1:
% 17.02/17.47 X := Z
% 17.02/17.47 Y := T
% 17.02/17.47 Z := X
% 17.02/17.47 T := T
% 17.02/17.47 end
% 17.02/17.47
% 17.02/17.47 subsumption: (1830) {G1,W20,D2,L4,V4,M4} R(57,23) { ! cong( X, Y, Z, Y ), !
% 17.02/17.47 cyclic( X, Z, Y, T ), perp( Y, X, X, T ), ! cong( Z, T, X, T ) }.
% 17.02/17.47 parent0: (62959) {G1,W20,D2,L4,V4,M4} { ! cong( X, Y, Z, Y ), ! cyclic( X
% 17.02/17.47 , Z, Y, T ), perp( Y, X, X, T ), ! cong( Z, T, X, T ) }.
% 17.02/17.47 substitution0:
% 17.02/17.47 X := X
% 17.02/17.47 Y := Y
% 17.02/17.47 Z := Z
% 17.02/17.47 T := T
% 17.02/17.47 end
% 17.02/17.47 permutation0:
% 17.02/17.47 0 ==> 0
% 17.02/17.47 1 ==> 1
% 17.02/17.47 2 ==> 2
% 17.02/17.47 3 ==> 3
% 17.02/17.47 end
% 17.02/17.47
% 17.02/17.47 resolution: (62961) {G6,W5,D2,L1,V0,M1} { para( skol26, skol22, skol26,
% 17.02/17.47 skol22 ) }.
% 17.02/17.47 parent0[0]: (280) {G5,W10,D2,L2,V2,M2} R(8,278) { ! perp( skol27, skol25, X
% 17.02/17.47 , Y ), para( skol26, skol22, X, Y ) }.
% 17.02/17.47 parent1[0]: (279) {G5,W5,D2,L1,V0,M1} R(278,7) { perp( skol27, skol25,
% 17.02/17.47 skol26, skol22 ) }.
% 17.02/17.47 substitution0:
% 17.02/17.47 X := skol26
% 17.02/17.47 Y := skol22
% 17.02/17.47 end
% 17.02/17.47 substitution1:
% 17.02/17.47 end
% 17.02/17.47
% 17.02/17.47 subsumption: (18343) {G6,W5,D2,L1,V0,M1} R(280,279) { para( skol26, skol22
% 17.02/17.47 , skol26, skol22 ) }.
% 17.02/17.47 parent0: (62961) {G6,W5,D2,L1,V0,M1} { para( skol26, skol22, skol26,
% 17.02/17.47 skol22 ) }.
% 17.02/17.47 substitution0:
% 17.02/17.47 end
% 17.02/17.47 permutation0:
% 17.02/17.47 0 ==> 0
% 17.02/17.47 end
% 17.02/17.47
% 17.02/17.47 resolution: (62962) {G2,W9,D2,L1,V2,M1} { eqangle( X, Y, skol26, skol22, X
% 17.02/17.47 , Y, skol26, skol22 ) }.
% 17.02/17.47 parent0[0]: (779) {G1,W14,D2,L2,V6,M2} R(39,18) { ! para( X, Y, Z, T ),
% 17.02/17.47 eqangle( U, W, X, Y, U, W, Z, T ) }.
% 17.02/17.47 parent1[0]: (18343) {G6,W5,D2,L1,V0,M1} R(280,279) { para( skol26, skol22,
% 17.02/17.47 skol26, skol22 ) }.
% 17.02/17.47 substitution0:
% 17.02/17.47 X := skol26
% 17.02/17.47 Y := skol22
% 17.02/17.47 Z := skol26
% 17.02/17.47 T := skol22
% 17.02/17.47 U := X
% 17.02/17.47 W := Y
% 17.02/17.47 end
% 17.02/17.47 substitution1:
% 17.02/17.47 end
% 17.02/17.47
% 17.02/17.47 subsumption: (40240) {G7,W9,D2,L1,V2,M1} R(779,18343) { eqangle( X, Y,
% 17.02/17.47 skol26, skol22, X, Y, skol26, skol22 ) }.
% 17.02/17.47 parent0: (62962) {G2,W9,D2,L1,V2,M1} { eqangle( X, Y, skol26, skol22, X, Y
% 17.02/17.47 , skol26, skol22 ) }.
% 17.02/17.47 substitution0:
% 17.02/17.47 X := X
% 17.02/17.47 Y := Y
% 17.02/17.47 end
% 17.02/17.47 permutation0:
% 17.02/17.47 0 ==> 0
% 17.02/17.47 end
% 17.02/17.47
% 17.02/17.47 resolution: (62963) {G1,W9,D2,L2,V3,M2} { coll( X, Y, Y ), ! cyclic( Y, Z
% 17.02/17.47 , X, X ) }.
% 17.02/17.47 parent0[0]: (66) {G0,W9,D2,L2,V3,M2} I { ! para( X, Y, X, Z ), coll( X, Y,
% 17.02/17.47 Z ) }.
% 17.02/17.47 parent1[1]: (799) {G1,W10,D2,L2,V3,M2} R(40,38) { ! cyclic( X, Y, Z, Z ),
% 17.02/17.47 para( Z, X, Z, X ) }.
% 17.02/17.47 substitution0:
% 17.02/17.47 X := X
% 17.02/17.47 Y := Y
% 17.02/17.47 Z := Y
% 17.02/17.47 end
% 17.02/17.47 substitution1:
% 17.02/17.47 X := Y
% 17.02/17.47 Y := Z
% 17.02/17.47 Z := X
% 17.02/17.47 end
% 17.02/17.47
% 17.02/17.47 subsumption: (48355) {G2,W9,D2,L2,V3,M2} R(799,66) { ! cyclic( X, Y, Z, Z )
% 17.02/17.47 , coll( Z, X, X ) }.
% 17.02/17.47 parent0: (62963) {G1,W9,D2,L2,V3,M2} { coll( X, Y, Y ), ! cyclic( Y, Z, X
% 17.02/17.47 , X ) }.
% 17.02/17.47 substitution0:
% 17.02/17.47 X := Z
% 17.02/17.47 Y := X
% 17.02/17.47 Z := Y
% 17.02/17.47 end
% 17.02/17.47 permutation0:
% 17.02/17.47 0 ==> 1
% 17.02/17.47 1 ==> 0
% 17.02/17.47 end
% 17.02/17.47
% 17.02/17.47 resolution: (62964) {G6,W5,D2,L1,V1,M1} { cyclic( X, skol22, skol26,
% 17.02/17.47 skol26 ) }.
% 17.02/17.47 parent0[0]: (861) {G5,W14,D2,L2,V1,M2} R(42,648) { ! eqangle( skol26, X,
% 17.02/17.47 skol26, skol22, skol26, X, skol26, skol22 ), cyclic( X, skol22, skol26,
% 17.02/17.47 skol26 ) }.
% 17.02/17.47 parent1[0]: (40240) {G7,W9,D2,L1,V2,M1} R(779,18343) { eqangle( X, Y,
% 17.02/17.47 skol26, skol22, X, Y, skol26, skol22 ) }.
% 17.02/17.47 substitution0:
% 17.02/17.47 X := X
% 17.02/17.47 end
% 17.02/17.47 substitution1:
% 17.02/17.47 X := skol26
% 17.02/17.47 Y := X
% 17.02/17.47 end
% 17.02/17.47
% 17.02/17.47 subsumption: (55451) {G8,W5,D2,L1,V1,M1} S(861);r(40240) { cyclic( X,
% 17.02/17.47 skol22, skol26, skol26 ) }.
% 17.02/17.47 parent0: (62964) {G6,W5,D2,L1,V1,M1} { cyclic( X, skol22, skol26, skol26 )
% 17.02/17.47 }.
% 17.02/17.47 substitution0:
% 17.02/17.47 X := X
% 17.02/17.47 end
% 17.02/17.47 permutation0:
% 17.02/17.47 0 ==> 0
% 17.02/17.47 end
% 17.02/17.47
% 17.02/17.47 resolution: (62965) {G2,W5,D2,L1,V1,M1} { cyclic( skol22, X, skol26,
% 17.02/17.47 skol26 ) }.
% 17.02/17.47 parent0[1]: (442) {G1,W10,D2,L2,V4,M2} R(15,13) { cyclic( X, Y, Z, T ), !
% 17.02/17.47 cyclic( Y, X, T, Z ) }.
% 17.02/17.47 parent1[0]: (55451) {G8,W5,D2,L1,V1,M1} S(861);r(40240) { cyclic( X, skol22
% 17.02/17.47 , skol26, skol26 ) }.
% 17.02/17.47 substitution0:
% 17.02/17.47 X := skol22
% 17.02/17.47 Y := X
% 17.02/17.47 Z := skol26
% 17.02/17.47 T := skol26
% 17.02/17.47 end
% 17.02/17.47 substitution1:
% 17.02/17.47 X := X
% 17.02/17.47 end
% 17.02/17.47
% 17.02/17.47 subsumption: (55472) {G9,W5,D2,L1,V1,M1} R(55451,442) { cyclic( skol22, X,
% 17.02/17.47 skol26, skol26 ) }.
% 17.02/17.47 parent0: (62965) {G2,W5,D2,L1,V1,M1} { cyclic( skol22, X, skol26, skol26 )
% 17.02/17.47 }.
% 17.02/17.47 substitution0:
% 17.02/17.47 X := X
% 17.02/17.47 end
% 17.02/17.47 permutation0:
% 17.02/17.47 0 ==> 0
% 17.02/17.47 end
% 17.02/17.47
% 17.02/17.47 resolution: (62966) {G3,W5,D2,L1,V1,M1} { cyclic( skol26, X, skol26,
% 17.02/17.47 skol26 ) }.
% 17.02/17.47 parent0[0]: (469) {G2,W10,D2,L2,V4,M2} F(460) { ! cyclic( X, Y, Z, T ),
% 17.02/17.47 cyclic( Z, Y, T, T ) }.
% 17.02/17.47 parent1[0]: (55472) {G9,W5,D2,L1,V1,M1} R(55451,442) { cyclic( skol22, X,
% 17.02/17.47 skol26, skol26 ) }.
% 17.02/17.47 substitution0:
% 17.02/17.47 X := skol22
% 17.02/17.47 Y := X
% 17.02/17.47 Z := skol26
% 17.02/17.47 T := skol26
% 17.02/17.47 end
% 17.02/17.47 substitution1:
% 17.02/17.47 X := X
% 17.02/17.47 end
% 17.02/17.47
% 17.02/17.47 subsumption: (55484) {G10,W5,D2,L1,V1,M1} R(55472,469) { cyclic( skol26, X
% 17.02/17.47 , skol26, skol26 ) }.
% 17.02/17.47 parent0: (62966) {G3,W5,D2,L1,V1,M1} { cyclic( skol26, X, skol26, skol26 )
% 17.02/17.47 }.
% 17.02/17.47 substitution0:
% 17.02/17.47 X := X
% 17.02/17.47 end
% 17.02/17.47 permutation0:
% 17.02/17.47 0 ==> 0
% 17.02/17.47 end
% 17.02/17.47
% 17.02/17.47 resolution: (62967) {G2,W5,D2,L1,V1,M1} { cyclic( skol26, skol26, X,
% 17.02/17.47 skol26 ) }.
% 17.02/17.47 parent0[1]: (440) {G1,W10,D2,L2,V4,M2} R(15,14) { cyclic( X, Y, Z, T ), !
% 17.02/17.47 cyclic( Y, Z, X, T ) }.
% 17.02/17.47 parent1[0]: (55484) {G10,W5,D2,L1,V1,M1} R(55472,469) { cyclic( skol26, X,
% 17.02/17.47 skol26, skol26 ) }.
% 17.02/17.47 substitution0:
% 17.02/17.47 X := skol26
% 17.02/17.47 Y := skol26
% 17.02/17.47 Z := X
% 17.02/17.47 T := skol26
% 17.02/17.47 end
% 17.02/17.47 substitution1:
% 17.02/17.47 X := X
% 17.02/17.47 end
% 17.02/17.47
% 17.02/17.47 subsumption: (55506) {G11,W5,D2,L1,V1,M1} R(55484,440) { cyclic( skol26,
% 17.02/17.47 skol26, X, skol26 ) }.
% 17.02/17.47 parent0: (62967) {G2,W5,D2,L1,V1,M1} { cyclic( skol26, skol26, X, skol26 )
% 17.02/17.47 }.
% 17.02/17.47 substitution0:
% 17.02/17.47 X := X
% 17.02/17.47 end
% 17.02/17.47 permutation0:
% 17.02/17.47 0 ==> 0
% 17.02/17.47 end
% 17.02/17.47
% 17.02/17.47 resolution: (62968) {G2,W5,D2,L1,V1,M1} { cyclic( skol26, skol26, skol26,
% 17.02/17.47 X ) }.
% 17.02/17.47 parent0[0]: (432) {G1,W10,D2,L2,V4,M2} R(14,13) { ! cyclic( X, Y, Z, T ),
% 17.02/17.47 cyclic( X, Z, T, Y ) }.
% 17.02/17.47 parent1[0]: (55484) {G10,W5,D2,L1,V1,M1} R(55472,469) { cyclic( skol26, X,
% 17.02/17.47 skol26, skol26 ) }.
% 17.02/17.47 substitution0:
% 17.02/17.47 X := skol26
% 17.02/17.47 Y := X
% 17.02/17.47 Z := skol26
% 17.02/17.47 T := skol26
% 17.02/17.47 end
% 17.02/17.47 substitution1:
% 17.02/17.47 X := X
% 17.02/17.47 end
% 17.02/17.47
% 17.02/17.47 subsumption: (55507) {G11,W5,D2,L1,V1,M1} R(55484,432) { cyclic( skol26,
% 17.02/17.47 skol26, skol26, X ) }.
% 17.02/17.47 parent0: (62968) {G2,W5,D2,L1,V1,M1} { cyclic( skol26, skol26, skol26, X )
% 17.02/17.47 }.
% 17.02/17.47 substitution0:
% 17.02/17.47 X := X
% 17.02/17.47 end
% 17.02/17.47 permutation0:
% 17.02/17.47 0 ==> 0
% 17.02/17.47 end
% 17.02/17.47
% 17.02/17.47 resolution: (62970) {G2,W10,D2,L2,V2,M2} { ! cyclic( skol26, skol26,
% 17.02/17.47 skol26, X ), cyclic( skol26, skol26, X, Y ) }.
% 17.02/17.47 parent0[2]: (465) {G1,W15,D2,L3,V5,M3} R(16,13) { ! cyclic( X, Y, Z, T ),
% 17.02/17.47 cyclic( Y, Z, T, U ), ! cyclic( X, Y, U, Z ) }.
% 17.02/17.47 parent1[0]: (55506) {G11,W5,D2,L1,V1,M1} R(55484,440) { cyclic( skol26,
% 17.02/17.47 skol26, X, skol26 ) }.
% 17.02/17.47 substitution0:
% 17.02/17.47 X := skol26
% 17.02/17.47 Y := skol26
% 17.02/17.47 Z := skol26
% 17.02/17.47 T := X
% 17.02/17.47 U := Y
% 17.02/17.47 end
% 17.02/17.47 substitution1:
% 17.02/17.47 X := Y
% 17.02/17.47 end
% 17.02/17.47
% 17.02/17.47 resolution: (62971) {G3,W5,D2,L1,V2,M1} { cyclic( skol26, skol26, X, Y )
% 17.02/17.47 }.
% 17.02/17.47 parent0[0]: (62970) {G2,W10,D2,L2,V2,M2} { ! cyclic( skol26, skol26,
% 17.02/17.47 skol26, X ), cyclic( skol26, skol26, X, Y ) }.
% 17.02/17.47 parent1[0]: (55507) {G11,W5,D2,L1,V1,M1} R(55484,432) { cyclic( skol26,
% 17.02/17.47 skol26, skol26, X ) }.
% 17.02/17.47 substitution0:
% 17.02/17.47 X := X
% 17.02/17.47 Y := Y
% 17.02/17.47 end
% 17.02/17.47 substitution1:
% 17.02/17.47 X := X
% 17.02/17.47 end
% 17.02/17.47
% 17.02/17.47 subsumption: (55512) {G12,W5,D2,L1,V2,M1} R(55506,465);r(55507) { cyclic(
% 17.02/17.47 skol26, skol26, X, Y ) }.
% 17.02/17.47 parent0: (62971) {G3,W5,D2,L1,V2,M1} { cyclic( skol26, skol26, X, Y ) }.
% 17.02/17.47 substitution0:
% 17.02/17.47 X := X
% 17.02/17.47 Y := Y
% 17.02/17.47 end
% 17.02/17.47 permutation0:
% 17.02/17.47 0 ==> 0
% 17.02/17.47 end
% 17.02/17.47
% 17.02/17.47 resolution: (62972) {G2,W10,D2,L2,V3,M2} { cyclic( skol26, X, Y, Z ), !
% 17.02/17.47 cyclic( skol26, skol26, Z, X ) }.
% 17.02/17.47 parent0[0]: (465) {G1,W15,D2,L3,V5,M3} R(16,13) { ! cyclic( X, Y, Z, T ),
% 17.02/17.47 cyclic( Y, Z, T, U ), ! cyclic( X, Y, U, Z ) }.
% 17.02/17.47 parent1[0]: (55512) {G12,W5,D2,L1,V2,M1} R(55506,465);r(55507) { cyclic(
% 17.02/17.47 skol26, skol26, X, Y ) }.
% 17.02/17.47 substitution0:
% 17.02/17.47 X := skol26
% 17.02/17.47 Y := skol26
% 17.02/17.47 Z := X
% 17.02/17.47 T := Y
% 17.02/17.47 U := Z
% 17.02/17.47 end
% 17.02/17.47 substitution1:
% 17.02/17.47 X := X
% 17.02/17.47 Y := Y
% 17.02/17.47 end
% 17.02/17.47
% 17.02/17.47 resolution: (62974) {G3,W5,D2,L1,V3,M1} { cyclic( skol26, X, Y, Z ) }.
% 17.02/17.47 parent0[1]: (62972) {G2,W10,D2,L2,V3,M2} { cyclic( skol26, X, Y, Z ), !
% 17.02/17.47 cyclic( skol26, skol26, Z, X ) }.
% 17.02/17.47 parent1[0]: (55512) {G12,W5,D2,L1,V2,M1} R(55506,465);r(55507) { cyclic(
% 17.02/17.47 skol26, skol26, X, Y ) }.
% 17.02/17.47 substitution0:
% 17.02/17.47 X := X
% 17.02/17.47 Y := Y
% 17.02/17.47 Z := Z
% 17.02/17.47 end
% 17.02/17.47 substitution1:
% 17.02/17.47 X := Z
% 17.02/17.47 Y := X
% 17.02/17.47 end
% 17.02/17.47
% 17.02/17.47 subsumption: (55534) {G13,W5,D2,L1,V3,M1} R(55512,465);r(55512) { cyclic(
% 17.02/17.47 skol26, X, Y, Z ) }.
% 17.02/17.47 parent0: (62974) {G3,W5,D2,L1,V3,M1} { cyclic( skol26, X, Y, Z ) }.
% 17.02/17.47 substitution0:
% 17.02/17.47 X := X
% 17.02/17.47 Y := Y
% 17.02/17.47 Z := Z
% 17.02/17.47 end
% 17.02/17.47 permutation0:
% 17.02/17.47 0 ==> 0
% 17.02/17.47 end
% 17.02/17.47
% 17.02/17.47 resolution: (62975) {G2,W10,D2,L2,V4,M2} { cyclic( X, Y, Z, T ), ! cyclic
% 17.02/17.47 ( skol26, X, T, Y ) }.
% 17.02/17.47 parent0[0]: (465) {G1,W15,D2,L3,V5,M3} R(16,13) { ! cyclic( X, Y, Z, T ),
% 17.02/17.47 cyclic( Y, Z, T, U ), ! cyclic( X, Y, U, Z ) }.
% 17.02/17.47 parent1[0]: (55534) {G13,W5,D2,L1,V3,M1} R(55512,465);r(55512) { cyclic(
% 17.02/17.47 skol26, X, Y, Z ) }.
% 17.02/17.47 substitution0:
% 17.02/17.47 X := skol26
% 17.02/17.47 Y := X
% 17.02/17.47 Z := Y
% 17.02/17.47 T := Z
% 17.02/17.47 U := T
% 17.02/17.47 end
% 17.02/17.47 substitution1:
% 17.02/17.47 X := X
% 17.02/17.47 Y := Y
% 17.02/17.47 Z := Z
% 17.02/17.47 end
% 17.02/17.47
% 17.02/17.47 resolution: (62977) {G3,W5,D2,L1,V4,M1} { cyclic( X, Y, Z, T ) }.
% 17.02/17.47 parent0[1]: (62975) {G2,W10,D2,L2,V4,M2} { cyclic( X, Y, Z, T ), ! cyclic
% 17.02/17.47 ( skol26, X, T, Y ) }.
% 17.02/17.47 parent1[0]: (55534) {G13,W5,D2,L1,V3,M1} R(55512,465);r(55512) { cyclic(
% 17.02/17.47 skol26, X, Y, Z ) }.
% 17.02/17.47 substitution0:
% 17.02/17.47 X := X
% 17.02/17.47 Y := Y
% 17.02/17.47 Z := Z
% 17.02/17.47 T := T
% 17.02/17.47 end
% 17.02/17.47 substitution1:
% 17.02/17.47 X := X
% 17.02/17.47 Y := T
% 17.02/17.47 Z := Y
% 17.02/17.47 end
% 17.02/17.47
% 17.02/17.47 subsumption: (55553) {G14,W5,D2,L1,V4,M1} R(55534,465);r(55534) { cyclic( X
% 17.02/17.47 , Y, Z, T ) }.
% 17.02/17.47 parent0: (62977) {G3,W5,D2,L1,V4,M1} { cyclic( X, Y, Z, T ) }.
% 17.02/17.47 substitution0:
% 17.02/17.47 X := X
% 17.02/17.47 Y := Y
% 17.02/17.47 Z := Z
% 17.02/17.47 T := T
% 17.02/17.47 end
% 17.02/17.47 permutation0:
% 17.02/17.47 0 ==> 0
% 17.02/17.47 end
% 17.02/17.47
% 17.02/17.47 resolution: (62978) {G3,W4,D2,L1,V2,M1} { coll( Z, X, X ) }.
% 17.02/17.47 parent0[0]: (48355) {G2,W9,D2,L2,V3,M2} R(799,66) { ! cyclic( X, Y, Z, Z )
% 17.02/17.47 , coll( Z, X, X ) }.
% 17.02/17.47 parent1[0]: (55553) {G14,W5,D2,L1,V4,M1} R(55534,465);r(55534) { cyclic( X
% 17.02/17.47 , Y, Z, T ) }.
% 17.02/17.47 substitution0:
% 17.02/17.47 X := X
% 17.02/17.47 Y := Y
% 17.02/17.47 Z := Z
% 17.02/17.47 end
% 17.02/17.47 substitution1:
% 17.02/17.47 X := X
% 17.02/17.47 Y := Y
% 17.02/17.47 Z := Z
% 17.02/17.47 T := Z
% 17.02/17.47 end
% 17.02/17.47
% 17.02/17.47 subsumption: (60072) {G15,W4,D2,L1,V2,M1} S(48355);r(55553) { coll( Z, X, X
% 17.02/17.47 ) }.
% 17.02/17.47 parent0: (62978) {G3,W4,D2,L1,V2,M1} { coll( Z, X, X ) }.
% 17.02/17.47 substitution0:
% 17.02/17.47 X := X
% 17.02/17.47 Y := T
% 17.02/17.47 Z := Z
% 17.02/17.47 end
% 17.02/17.47 permutation0:
% 17.02/17.47 0 ==> 0
% 17.02/17.47 end
% 17.02/17.47
% 17.02/17.47 resolution: (62981) {G2,W15,D2,L3,V4,M3} { ! cong( X, Y, Z, Y ), perp( Y,
% 17.02/17.47 X, X, T ), ! cong( Z, T, X, T ) }.
% 17.02/17.47 parent0[1]: (1830) {G1,W20,D2,L4,V4,M4} R(57,23) { ! cong( X, Y, Z, Y ), !
% 17.02/17.47 cyclic( X, Z, Y, T ), perp( Y, X, X, T ), ! cong( Z, T, X, T ) }.
% 17.02/17.47 parent1[0]: (55553) {G14,W5,D2,L1,V4,M1} R(55534,465);r(55534) { cyclic( X
% 17.02/17.47 , Y, Z, T ) }.
% 17.02/17.47 substitution0:
% 17.02/17.47 X := X
% 17.02/17.47 Y := Y
% 17.02/17.47 Z := Z
% 17.02/17.47 T := T
% 17.02/17.47 end
% 17.02/17.47 substitution1:
% 17.02/17.47 X := X
% 17.02/17.47 Y := Z
% 17.02/17.47 Z := Y
% 17.02/17.47 T := T
% 17.02/17.47 end
% 17.02/17.47
% 17.02/17.47 subsumption: (61254) {G15,W15,D2,L3,V4,M3} S(1830);r(55553) { ! cong( X, Y
% 17.02/17.47 , Z, Y ), perp( Y, X, X, T ), ! cong( Z, T, X, T ) }.
% 17.02/17.47 parent0: (62981) {G2,W15,D2,L3,V4,M3} { ! cong( X, Y, Z, Y ), perp( Y, X,
% 17.02/17.47 X, T ), ! cong( Z, T, X, T ) }.
% 17.02/17.47 substitution0:
% 17.02/17.47 X := X
% 17.02/17.47 Y := Y
% 17.02/17.47 Z := Z
% 17.02/17.47 T := T
% 17.02/17.47 end
% 17.02/17.47 permutation0:
% 17.02/17.47 0 ==> 0
% 17.02/17.47 1 ==> 1
% 17.02/17.47 2 ==> 2
% 17.02/17.47 end
% 17.02/17.47
% 17.02/17.47 resolution: (62985) {G3,W10,D2,L2,V3,M2} { ! cyclic( X, Y, Z, Y ), cong( X
% 17.02/17.47 , Y, X, Y ) }.
% 17.02/17.47 parent0[0]: (1048) {G2,W15,D2,L3,V3,M3} F(1016) { ! cyclic( X, Y, Z, X ), !
% 17.02/17.47 cyclic( X, Y, Z, Y ), cong( X, Y, X, Y ) }.
% 17.02/17.47 parent1[0]: (55553) {G14,W5,D2,L1,V4,M1} R(55534,465);r(55534) { cyclic( X
% 17.02/17.47 , Y, Z, T ) }.
% 17.02/17.47 substitution0:
% 17.02/17.47 X := X
% 17.02/17.47 Y := Y
% 17.02/17.47 Z := Z
% 17.02/17.47 end
% 17.02/17.47 substitution1:
% 17.02/17.47 X := X
% 17.02/17.47 Y := Y
% 17.02/17.47 Z := Z
% 17.02/17.47 T := X
% 17.02/17.47 end
% 17.02/17.47
% 17.02/17.47 resolution: (62987) {G4,W5,D2,L1,V2,M1} { cong( X, Y, X, Y ) }.
% 17.02/17.47 parent0[0]: (62985) {G3,W10,D2,L2,V3,M2} { ! cyclic( X, Y, Z, Y ), cong( X
% 17.02/17.47 , Y, X, Y ) }.
% 17.02/17.47 parent1[0]: (55553) {G14,W5,D2,L1,V4,M1} R(55534,465);r(55534) { cyclic( X
% 17.02/17.47 , Y, Z, T ) }.
% 17.02/17.47 substitution0:
% 17.02/17.47 X := X
% 17.02/17.47 Y := Y
% 17.02/17.47 Z := Z
% 17.02/17.47 end
% 17.02/17.47 substitution1:
% 17.02/17.47 X := X
% 17.02/17.47 Y := Y
% 17.02/17.47 Z := Z
% 17.02/17.47 T := Y
% 17.02/17.47 end
% 17.02/17.47
% 17.02/17.47 subsumption: (61272) {G15,W5,D2,L1,V2,M1} S(1048);r(55553);r(55553) { cong
% 17.02/17.47 ( X, Y, X, Y ) }.
% 17.02/17.47 parent0: (62987) {G4,W5,D2,L1,V2,M1} { cong( X, Y, X, Y ) }.
% 17.02/17.47 substitution0:
% 17.02/17.47 X := X
% 17.02/17.47 Y := Y
% 17.02/17.47 end
% 17.02/17.47 permutation0:
% 17.02/17.47 0 ==> 0
% 17.02/17.47 end
% 17.02/17.47
% 17.02/17.47 factor: (62988) {G15,W10,D2,L2,V2,M2} { ! cong( X, Y, X, Y ), perp( Y, X,
% 17.02/17.47 X, Y ) }.
% 17.02/17.47 parent0[0, 2]: (61254) {G15,W15,D2,L3,V4,M3} S(1830);r(55553) { ! cong( X,
% 17.02/17.47 Y, Z, Y ), perp( Y, X, X, T ), ! cong( Z, T, X, T ) }.
% 17.02/17.47 substitution0:
% 17.02/17.47 X := X
% 17.02/17.47 Y := Y
% 17.02/17.47 Z := X
% 17.02/17.47 T := Y
% 17.02/17.47 end
% 17.02/17.47
% 17.02/17.47 resolution: (62989) {G16,W5,D2,L1,V2,M1} { perp( Y, X, X, Y ) }.
% 17.02/17.47 parent0[0]: (62988) {G15,W10,D2,L2,V2,M2} { ! cong( X, Y, X, Y ), perp( Y
% 17.02/17.47 , X, X, Y ) }.
% 17.02/17.47 parent1[0]: (61272) {G15,W5,D2,L1,V2,M1} S(1048);r(55553);r(55553) { cong(
% 17.02/17.47 X, Y, X, Y ) }.
% 17.02/17.47 substitution0:
% 17.02/17.47 X := X
% 17.02/17.47 Y := Y
% 17.02/17.47 end
% 17.02/17.47 substitution1:
% 17.02/17.47 X := X
% 17.02/17.47 Y := Y
% 17.02/17.47 end
% 17.02/17.47
% 17.02/17.47 subsumption: (61279) {G16,W5,D2,L1,V2,M1} F(61254);r(61272) { perp( Y, X, X
% 17.02/17.47 , Y ) }.
% 17.02/17.47 parent0: (62989) {G16,W5,D2,L1,V2,M1} { perp( Y, X, X, Y ) }.
% 17.02/17.47 substitution0:
% 17.02/17.47 X := X
% 17.02/17.47 Y := Y
% 17.02/17.47 end
% 17.02/17.47 permutation0:
% 17.02/17.47 0 ==> 0
% 17.02/17.47 end
% 17.02/17.47
% 17.02/17.47 resolution: (62990) {G1,W9,D2,L2,V2,M2} { ! cong( X, Y, X, Y ), midp( X, Y
% 17.02/17.47 , Y ) }.
% 17.02/17.47 parent0[1]: (67) {G0,W13,D2,L3,V3,M3} I { ! cong( X, Y, X, Z ), ! coll( X,
% 17.02/17.47 Y, Z ), midp( X, Y, Z ) }.
% 17.02/17.47 parent1[0]: (60072) {G15,W4,D2,L1,V2,M1} S(48355);r(55553) { coll( Z, X, X
% 17.02/17.47 ) }.
% 17.02/17.47 substitution0:
% 17.02/17.47 X := X
% 17.02/17.47 Y := Y
% 17.02/17.47 Z := Y
% 17.02/17.47 end
% 17.02/17.47 substitution1:
% 17.02/17.47 X := Y
% 17.02/17.47 Y := Z
% 17.02/17.47 Z := X
% 17.02/17.47 end
% 17.02/17.47
% 17.02/17.47 resolution: (62991) {G2,W4,D2,L1,V2,M1} { midp( X, Y, Y ) }.
% 17.02/17.47 parent0[0]: (62990) {G1,W9,D2,L2,V2,M2} { ! cong( X, Y, X, Y ), midp( X, Y
% 17.02/17.47 , Y ) }.
% 17.02/17.47 parent1[0]: (61272) {G15,W5,D2,L1,V2,M1} S(1048);r(55553);r(55553) { cong(
% 17.02/17.47 X, Y, X, Y ) }.
% 17.02/17.47 substitution0:
% 17.02/17.47 X := X
% 17.02/17.47 Y := Y
% 17.02/17.47 end
% 17.02/17.47 substitution1:
% 17.02/17.47 X := X
% 17.02/17.47 Y := Y
% 17.02/17.47 end
% 17.02/17.47
% 17.02/17.47 subsumption: (61320) {G16,W4,D2,L1,V2,M1} R(60072,67);r(61272) { midp( X, Y
% 17.02/17.47 , Y ) }.
% 17.02/17.47 parent0: (62991) {G2,W4,D2,L1,V2,M1} { midp( X, Y, Y ) }.
% 17.02/17.47 substitution0:
% 17.02/17.47 X := X
% 17.02/17.47 Y := Y
% 17.02/17.47 end
% 17.02/17.47 permutation0:
% 17.02/17.47 0 ==> 0
% 17.02/17.47 end
% 17.02/17.47
% 17.02/17.47 resolution: (62992) {G1,W10,D2,L2,V3,M2} { ! perp( X, Y, Y, X ), cong( X,
% 17.02/17.47 Z, Y, Z ) }.
% 17.02/17.47 parent0[1]: (52) {G0,W14,D2,L3,V4,M3} I { ! perp( X, Y, Y, T ), ! midp( Z,
% 17.02/17.47 X, T ), cong( X, Z, Y, Z ) }.
% 17.02/17.47 parent1[0]: (61320) {G16,W4,D2,L1,V2,M1} R(60072,67);r(61272) { midp( X, Y
% 17.02/17.47 , Y ) }.
% 17.02/17.47 substitution0:
% 17.02/17.47 X := X
% 17.02/17.47 Y := Y
% 17.02/17.47 Z := Z
% 17.02/17.47 T := X
% 17.02/17.47 end
% 17.02/17.47 substitution1:
% 17.02/17.47 X := Z
% 17.02/17.47 Y := X
% 17.02/17.47 end
% 17.02/17.47
% 17.02/17.47 resolution: (62993) {G2,W5,D2,L1,V3,M1} { cong( X, Z, Y, Z ) }.
% 17.02/17.47 parent0[0]: (62992) {G1,W10,D2,L2,V3,M2} { ! perp( X, Y, Y, X ), cong( X,
% 17.02/17.47 Z, Y, Z ) }.
% 17.02/17.47 parent1[0]: (61279) {G16,W5,D2,L1,V2,M1} F(61254);r(61272) { perp( Y, X, X
% 17.02/17.47 , Y ) }.
% 17.02/17.47 substitution0:
% 17.02/17.47 X := X
% 17.02/17.47 Y := Y
% 17.02/17.47 Z := Z
% 17.02/17.47 end
% 17.02/17.47 substitution1:
% 17.02/17.47 X := Y
% 17.02/17.47 Y := X
% 17.02/17.47 end
% 17.02/17.47
% 17.02/17.47 subsumption: (61339) {G17,W5,D2,L1,V3,M1} R(61320,52);r(61279) { cong( X, Z
% 17.02/17.47 , Y, Z ) }.
% 17.02/17.47 parent0: (62993) {G2,W5,D2,L1,V3,M1} { cong( X, Z, Y, Z ) }.
% 17.02/17.47 substitution0:
% 17.02/17.47 X := X
% 17.02/17.47 Y := Y
% 17.02/17.47 Z := Z
% 17.02/17.47 end
% 17.02/17.47 permutation0:
% 17.02/17.47 0 ==> 0
% 17.02/17.47 end
% 17.02/17.47
% 17.02/17.47 resolution: (62994) {G1,W10,D2,L2,V4,M2} { ! cong( X, T, Z, T ), perp( X,
% 17.02/17.47 Z, Y, T ) }.
% 17.02/17.47 parent0[0]: (56) {G0,W15,D2,L3,V4,M3} I { ! cong( X, Z, Y, Z ), ! cong( X,
% 17.02/17.47 T, Y, T ), perp( X, Y, Z, T ) }.
% 17.02/17.47 parent1[0]: (61339) {G17,W5,D2,L1,V3,M1} R(61320,52);r(61279) { cong( X, Z
% 17.02/17.47 , Y, Z ) }.
% 17.02/17.47 substitution0:
% 17.02/17.47 X := X
% 17.02/17.47 Y := Z
% 17.02/17.47 Z := Y
% 17.02/17.47 T := T
% 17.02/17.47 end
% 17.02/17.47 substitution1:
% 17.02/17.47 X := X
% 17.02/17.47 Y := Z
% 17.02/17.47 Z := Y
% 17.02/17.47 end
% 17.02/17.47
% 17.02/17.47 resolution: (62996) {G2,W5,D2,L1,V4,M1} { perp( X, Z, T, Y ) }.
% 17.02/17.47 parent0[0]: (62994) {G1,W10,D2,L2,V4,M2} { ! cong( X, T, Z, T ), perp( X,
% 17.02/17.47 Z, Y, T ) }.
% 17.02/17.47 parent1[0]: (61339) {G17,W5,D2,L1,V3,M1} R(61320,52);r(61279) { cong( X, Z
% 17.02/17.47 , Y, Z ) }.
% 17.02/17.47 substitution0:
% 17.02/17.47 X := X
% 17.02/17.47 Y := T
% 17.02/17.47 Z := Z
% 17.02/17.47 T := Y
% 17.02/17.47 end
% 17.02/17.47 substitution1:
% 17.02/17.47 X := X
% 17.02/17.47 Y := Z
% 17.02/17.47 Z := Y
% 17.02/17.47 end
% 17.02/17.47
% 17.02/17.47 subsumption: (61878) {G18,W5,D2,L1,V4,M1} R(61339,56);r(61339) { perp( X, Z
% 17.02/17.47 , T, Y ) }.
% 17.02/17.47 parent0: (62996) {G2,W5,D2,L1,V4,M1} { perp( X, Z, T, Y ) }.
% 17.02/17.47 substitution0:
% 17.02/17.47 X := X
% 17.02/17.47 Y := Y
% 17.02/17.47 Z := Z
% 17.02/17.47 T := T
% 17.02/17.47 end
% 17.02/17.47 permutation0:
% 17.02/17.47 0 ==> 0
% 17.02/17.47 end
% 17.02/17.47
% 17.02/17.47 resolution: (62997) {G2,W10,D2,L2,V6,M2} { ! perp( Z, T, U, W ), para( U,
% 17.02/17.47 W, X, Y ) }.
% 17.02/17.47 parent0[0]: (300) {G1,W15,D2,L3,V6,M3} R(8,4) { ! perp( X, Y, Z, T ), !
% 17.02/17.47 perp( Z, T, U, W ), para( U, W, X, Y ) }.
% 17.02/17.47 parent1[0]: (61878) {G18,W5,D2,L1,V4,M1} R(61339,56);r(61339) { perp( X, Z
% 17.02/17.47 , T, Y ) }.
% 17.02/17.47 substitution0:
% 17.02/17.47 X := X
% 17.02/17.47 Y := Y
% 17.02/17.47 Z := Z
% 17.02/17.47 T := T
% 17.02/17.47 U := U
% 17.02/17.47 W := W
% 17.02/17.47 end
% 17.02/17.47 substitution1:
% 17.02/17.47 X := X
% 17.02/17.47 Y := T
% 17.02/17.47 Z := Y
% 17.02/17.47 T := Z
% 17.02/17.47 end
% 17.02/17.47
% 17.02/17.47 resolution: (62999) {G3,W5,D2,L1,V4,M1} { para( Z, T, U, W ) }.
% 17.02/17.47 parent0[0]: (62997) {G2,W10,D2,L2,V6,M2} { ! perp( Z, T, U, W ), para( U,
% 17.02/17.47 W, X, Y ) }.
% 17.02/17.47 parent1[0]: (61878) {G18,W5,D2,L1,V4,M1} R(61339,56);r(61339) { perp( X, Z
% 17.02/17.47 , T, Y ) }.
% 17.02/17.47 substitution0:
% 17.02/17.47 X := U
% 17.02/17.47 Y := W
% 17.02/17.47 Z := X
% 17.02/17.47 T := Y
% 17.02/17.47 U := Z
% 17.02/17.47 W := T
% 17.02/17.47 end
% 17.02/17.47 substitution1:
% 17.02/17.47 X := X
% 17.02/17.47 Y := T
% 17.02/17.47 Z := Y
% 17.02/17.47 T := Z
% 17.02/17.47 end
% 17.02/17.47
% 17.02/17.47 subsumption: (61902) {G19,W5,D2,L1,V4,M1} R(61878,300);r(61878) { para( Z,
% 17.02/17.47 T, U, W ) }.
% 17.02/17.47 parent0: (62999) {G3,W5,D2,L1,V4,M1} { para( Z, T, U, W ) }.
% 17.02/17.47 substitution0:
% 17.02/17.47 X := V0
% 17.02/17.47 Y := V1
% 17.02/17.47 Z := Z
% 17.02/17.47 T := T
% 17.02/17.47 U := U
% 17.02/17.47 W := W
% 17.02/17.47 end
% 17.02/17.47 permutation0:
% 17.02/17.47 0 ==> 0
% 17.02/17.47 end
% 17.02/17.47
% 17.02/17.47 resolution: (63000) {G2,W9,D2,L1,V6,M1} { eqangle( U, W, X, Y, U, W, Z, T
% 17.02/17.47 ) }.
% 17.02/17.47 parent0[0]: (779) {G1,W14,D2,L2,V6,M2} R(39,18) { ! para( X, Y, Z, T ),
% 17.02/17.47 eqangle( U, W, X, Y, U, W, Z, T ) }.
% 17.02/17.47 parent1[0]: (61902) {G19,W5,D2,L1,V4,M1} R(61878,300);r(61878) { para( Z, T
% 17.02/17.47 , U, W ) }.
% 17.02/17.47 substitution0:
% 17.02/17.47 X := X
% 17.02/17.47 Y := Y
% 17.02/17.47 Z := Z
% 17.02/17.47 T := T
% 17.02/17.47 U := U
% 17.02/17.47 W := W
% 17.02/17.47 end
% 17.02/17.47 substitution1:
% 17.02/17.47 X := V0
% 17.02/17.47 Y := V1
% 17.02/17.47 Z := X
% 17.02/17.47 T := Y
% 17.02/17.47 U := Z
% 17.02/17.47 W := T
% 17.02/17.47 end
% 17.02/17.47
% 17.02/17.47 subsumption: (61915) {G20,W9,D2,L1,V6,M1} R(61902,779) { eqangle( X, Y, Z,
% 17.02/17.47 T, X, Y, U, W ) }.
% 17.02/17.47 parent0: (63000) {G2,W9,D2,L1,V6,M1} { eqangle( U, W, X, Y, U, W, Z, T )
% 17.02/17.47 }.
% 17.02/17.47 substitution0:
% 17.02/17.47 X := Z
% 17.02/17.47 Y := T
% 17.02/17.47 Z := U
% 17.02/17.47 T := W
% 17.02/17.47 U := X
% 17.02/17.47 W := Y
% 17.02/17.47 end
% 17.02/17.47 permutation0:
% 17.02/17.47 0 ==> 0
% 17.02/17.47 end
% 17.02/17.47
% 17.02/17.47 resolution: (63001) {G2,W9,D2,L1,V6,M1} { eqangle( X, Y, Z, T, U, W, U, W
% 17.02/17.47 ) }.
% 17.02/17.47 parent0[0]: (777) {G1,W14,D2,L2,V6,M2} R(39,20) { ! para( X, Y, Z, T ),
% 17.02/17.47 eqangle( X, Y, Z, T, U, W, U, W ) }.
% 17.02/17.47 parent1[0]: (61902) {G19,W5,D2,L1,V4,M1} R(61878,300);r(61878) { para( Z, T
% 17.02/17.47 , U, W ) }.
% 17.02/17.47 substitution0:
% 17.02/17.47 X := X
% 17.02/17.47 Y := Y
% 17.02/17.47 Z := Z
% 17.02/17.47 T := T
% 17.02/17.47 U := U
% 17.02/17.47 W := W
% 17.02/17.47 end
% 17.02/17.47 substitution1:
% 17.02/17.47 X := V0
% 17.02/17.47 Y := V1
% 17.02/17.47 Z := X
% 17.02/17.47 T := Y
% 17.02/17.47 U := Z
% 17.02/17.47 W := T
% 17.02/17.47 end
% 17.02/17.47
% 17.02/17.47 subsumption: (61916) {G20,W9,D2,L1,V6,M1} R(61902,777) { eqangle( X, Y, Z,
% 17.02/17.47 T, U, W, U, W ) }.
% 17.02/17.47 parent0: (63001) {G2,W9,D2,L1,V6,M1} { eqangle( X, Y, Z, T, U, W, U, W )
% 17.02/17.47 }.
% 17.02/17.47 substitution0:
% 17.02/17.47 X := X
% 17.02/17.47 Y := Y
% 17.02/17.47 Z := Z
% 17.02/17.47 T := T
% 17.02/17.47 U := U
% 17.02/17.47 W := W
% 17.02/17.47 end
% 17.02/17.47 permutation0:
% 17.02/17.47 0 ==> 0
% 17.02/17.47 end
% 17.02/17.47
% 17.02/17.47 resolution: (63003) {G2,W18,D2,L2,V10,M2} { ! eqangle( X, Y, Z, T, U, W, U
% 17.02/17.47 , W ), eqangle( X, Y, Z, T, V0, V1, V2, V3 ) }.
% 17.02/17.47 parent0[2]: (519) {G1,W27,D2,L3,V12,M3} R(21,20) { ! eqangle( X, Y, Z, T, U
% 17.02/17.47 , W, V0, V1 ), eqangle( X, Y, Z, T, V2, V3, V4, V5 ), ! eqangle( U, W, V2
% 17.02/17.47 , V3, V0, V1, V4, V5 ) }.
% 17.02/17.47 parent1[0]: (61915) {G20,W9,D2,L1,V6,M1} R(61902,779) { eqangle( X, Y, Z, T
% 17.02/17.47 , X, Y, U, W ) }.
% 17.02/17.47 substitution0:
% 17.02/17.47 X := X
% 17.02/17.47 Y := Y
% 17.02/17.47 Z := Z
% 17.02/17.47 T := T
% 17.02/17.47 U := U
% 17.02/17.47 W := W
% 17.02/17.47 V0 := U
% 17.02/17.47 V1 := W
% 17.02/17.47 V2 := V0
% 17.02/17.47 V3 := V1
% 17.02/17.47 V4 := V2
% 17.02/17.47 V5 := V3
% 17.02/17.47 end
% 17.02/17.47 substitution1:
% 17.02/17.47 X := U
% 17.02/17.47 Y := W
% 17.02/17.47 Z := V0
% 17.02/17.47 T := V1
% 17.02/17.47 U := V2
% 17.02/17.47 W := V3
% 17.02/17.47 end
% 17.02/17.47
% 17.02/17.47 resolution: (63004) {G3,W9,D2,L1,V8,M1} { eqangle( X, Y, Z, T, V0, V1, V2
% 17.02/17.47 , V3 ) }.
% 17.02/17.47 parent0[0]: (63003) {G2,W18,D2,L2,V10,M2} { ! eqangle( X, Y, Z, T, U, W, U
% 17.02/17.47 , W ), eqangle( X, Y, Z, T, V0, V1, V2, V3 ) }.
% 17.02/17.47 parent1[0]: (61916) {G20,W9,D2,L1,V6,M1} R(61902,777) { eqangle( X, Y, Z, T
% 17.02/17.47 , U, W, U, W ) }.
% 17.02/17.47 substitution0:
% 17.02/17.47 X := X
% 17.02/17.47 Y := Y
% 17.02/17.47 Z := Z
% 17.02/17.47 T := T
% 17.02/17.47 U := U
% 17.02/17.47 W := W
% 17.02/17.47 V0 := V0
% 17.02/17.47 V1 := V1
% 17.02/17.47 V2 := V2
% 17.02/17.47 V3 := V3
% 17.02/17.47 end
% 17.02/17.47 substitution1:
% 17.02/17.47 X := X
% 17.02/17.47 Y := Y
% 17.02/17.47 Z := Z
% 17.02/17.47 T := T
% 17.02/17.47 U := U
% 17.02/17.47 W := W
% 17.02/17.47 end
% 17.02/17.47
% 17.02/17.47 subsumption: (62360) {G21,W9,D2,L1,V8,M1} R(61915,519);r(61916) { eqangle(
% 17.02/17.47 X, Y, Z, T, V0, V1, V2, V3 ) }.
% 17.02/17.47 parent0: (63004) {G3,W9,D2,L1,V8,M1} { eqangle( X, Y, Z, T, V0, V1, V2, V3
% 17.02/17.47 ) }.
% 17.02/17.47 substitution0:
% 17.02/17.47 X := X
% 17.02/17.47 Y := Y
% 17.02/17.47 Z := Z
% 17.02/17.47 T := T
% 17.02/17.47 U := V4
% 17.02/17.47 W := V5
% 17.02/17.47 V0 := V0
% 17.02/17.47 V1 := V1
% 17.02/17.47 V2 := V2
% 17.02/17.47 V3 := V3
% 17.02/17.47 end
% 17.02/17.47 permutation0:
% 17.02/17.47 0 ==> 0
% 17.02/17.47 end
% 17.02/17.47
% 17.02/17.47 resolution: (63005) {G1,W0,D0,L0,V0,M0} { }.
% 17.02/17.47 parent0[0]: (124) {G0,W9,D2,L1,V0,M1} I { ! eqangle( skol22, skol24, skol24
% 17.02/17.47 , skol23, skol23, skol24, skol24, skol20 ) }.
% 17.02/17.47 parent1[0]: (62360) {G21,W9,D2,L1,V8,M1} R(61915,519);r(61916) { eqangle( X
% 17.02/17.47 , Y, Z, T, V0, V1, V2, V3 ) }.
% 17.02/17.47 substitution0:
% 17.02/17.47 end
% 17.02/17.47 substitution1:
% 17.02/17.47 X := skol22
% 17.02/17.47 Y := skol24
% 17.02/17.47 Z := skol24
% 17.02/17.47 T := skol23
% 17.02/17.47 U := X
% 17.02/17.47 W := Y
% 17.02/17.47 V0 := skol23
% 17.02/17.47 V1 := skol24
% 17.02/17.47 V2 := skol24
% 17.02/17.47 V3 := skol20
% 17.02/17.47 end
% 17.02/17.47
% 17.02/17.47 subsumption: (62361) {G22,W0,D0,L0,V0,M0} R(62360,124) { }.
% 17.02/17.47 parent0: (63005) {G1,W0,D0,L0,V0,M0} { }.
% 17.02/17.47 substitution0:
% 17.02/17.47 end
% 17.02/17.47 permutation0:
% 17.02/17.47 end
% 17.02/17.47
% 17.02/17.47 Proof check complete!
% 17.02/17.47
% 17.02/17.47 Memory use:
% 17.02/17.47
% 17.02/17.47 space for terms: 851417
% 17.02/17.47 space for clauses: 2676051
% 17.02/17.47
% 17.02/17.47
% 17.02/17.47 clauses generated: 487499
% 17.02/17.47 clauses kept: 62362
% 17.02/17.47 clauses selected: 3752
% 17.02/17.47 clauses deleted: 38832
% 17.02/17.47 clauses inuse deleted: 3216
% 17.02/17.47
% 17.02/17.47 subsentry: 22679717
% 17.02/17.47 literals s-matched: 11825518
% 17.02/17.47 literals matched: 6382386
% 17.02/17.47 full subsumption: 2194700
% 17.02/17.47
% 17.02/17.47 checksum: -1139286695
% 17.02/17.47
% 17.02/17.47
% 17.02/17.47 Bliksem ended
%------------------------------------------------------------------------------