%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : GEO548+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 02:54:38 EDT 2022
% Result : Theorem 19.16s 19.53s
% Output : Refutation 19.16s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.11 % Problem : GEO548+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 02:20:24 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.74/1.16 *** allocated 10000 integers for termspace/termends
% 0.74/1.16 *** allocated 10000 integers for clauses
% 0.74/1.16 *** allocated 10000 integers for justifications
% 0.74/1.16 Bliksem 1.12
% 0.74/1.16
% 0.74/1.16
% 0.74/1.16 Automatic Strategy Selection
% 0.74/1.16
% 0.74/1.16 *** allocated 15000 integers for termspace/termends
% 0.74/1.16
% 0.74/1.16 Clauses:
% 0.74/1.16
% 0.74/1.16 { ! coll( X, Y, Z ), coll( X, Z, Y ) }.
% 0.74/1.16 { ! coll( X, Y, Z ), coll( Y, X, Z ) }.
% 0.74/1.16 { ! coll( X, T, Y ), ! coll( X, T, Z ), coll( Y, Z, X ) }.
% 0.74/1.16 { ! para( X, Y, Z, T ), para( X, Y, T, Z ) }.
% 0.74/1.16 { ! para( X, Y, Z, T ), para( Z, T, X, Y ) }.
% 0.74/1.16 { ! para( X, Y, U, W ), ! para( U, W, Z, T ), para( X, Y, Z, T ) }.
% 0.74/1.16 { ! perp( X, Y, Z, T ), perp( X, Y, T, Z ) }.
% 0.74/1.16 { ! perp( X, Y, Z, T ), perp( Z, T, X, Y ) }.
% 0.74/1.16 { ! perp( X, Y, U, W ), ! perp( U, W, Z, T ), para( X, Y, Z, T ) }.
% 0.74/1.16 { ! para( X, Y, U, W ), ! perp( U, W, Z, T ), perp( X, Y, Z, T ) }.
% 0.74/1.16 { ! midp( Z, Y, X ), midp( Z, X, Y ) }.
% 0.74/1.16 { ! cong( T, X, T, Y ), ! cong( T, X, T, Z ), circle( T, X, Y, Z ) }.
% 0.74/1.16 { ! cong( U, X, U, Y ), ! cong( U, X, U, Z ), ! cong( U, X, U, T ), cyclic
% 0.74/1.16 ( X, Y, Z, T ) }.
% 0.74/1.16 { ! cyclic( X, Y, Z, T ), cyclic( X, Y, T, Z ) }.
% 0.74/1.16 { ! cyclic( X, Y, Z, T ), cyclic( X, Z, Y, T ) }.
% 0.74/1.16 { ! cyclic( X, Y, Z, T ), cyclic( Y, X, Z, T ) }.
% 0.74/1.16 { ! cyclic( U, X, Y, Z ), ! cyclic( U, X, Y, T ), cyclic( X, Y, Z, T ) }.
% 0.74/1.16 { ! eqangle( X, Y, Z, T, U, W, V0, V1 ), eqangle( Y, X, Z, T, U, W, V0, V1
% 0.74/1.16 ) }.
% 0.74/1.16 { ! eqangle( X, Y, Z, T, U, W, V0, V1 ), eqangle( Z, T, X, Y, V0, V1, U, W
% 0.74/1.16 ) }.
% 0.74/1.16 { ! eqangle( X, Y, Z, T, U, W, V0, V1 ), eqangle( U, W, V0, V1, X, Y, Z, T
% 0.74/1.16 ) }.
% 0.74/1.16 { ! eqangle( X, Y, Z, T, U, W, V0, V1 ), eqangle( X, Y, U, W, Z, T, V0, V1
% 0.74/1.16 ) }.
% 0.74/1.16 { ! eqangle( X, Y, Z, T, V2, V3, V4, V5 ), ! eqangle( V2, V3, V4, V5, U, W
% 0.74/1.16 , V0, V1 ), eqangle( X, Y, Z, T, U, W, V0, V1 ) }.
% 0.74/1.16 { ! cong( X, Y, Z, T ), cong( X, Y, T, Z ) }.
% 0.74/1.16 { ! cong( X, Y, Z, T ), cong( Z, T, X, Y ) }.
% 0.74/1.16 { ! cong( X, Y, U, W ), ! cong( U, W, Z, T ), cong( X, Y, Z, T ) }.
% 0.74/1.16 { ! eqratio( X, Y, Z, T, U, W, V0, V1 ), eqratio( Y, X, Z, T, U, W, V0, V1
% 0.74/1.16 ) }.
% 0.74/1.16 { ! eqratio( X, Y, Z, T, U, W, V0, V1 ), eqratio( Z, T, X, Y, V0, V1, U, W
% 0.74/1.16 ) }.
% 0.74/1.16 { ! eqratio( X, Y, Z, T, U, W, V0, V1 ), eqratio( U, W, V0, V1, X, Y, Z, T
% 0.74/1.16 ) }.
% 0.74/1.16 { ! eqratio( X, Y, Z, T, U, W, V0, V1 ), eqratio( X, Y, U, W, Z, T, V0, V1
% 0.74/1.16 ) }.
% 0.74/1.16 { ! eqratio( X, Y, Z, T, V2, V3, V4, V5 ), ! eqratio( V2, V3, V4, V5, U, W
% 0.74/1.16 , V0, V1 ), eqratio( X, Y, Z, T, U, W, V0, V1 ) }.
% 0.74/1.16 { ! simtri( X, Z, Y, T, W, U ), simtri( X, Y, Z, T, U, W ) }.
% 0.74/1.16 { ! simtri( Y, X, Z, U, T, W ), simtri( X, Y, Z, T, U, W ) }.
% 0.74/1.16 { ! simtri( T, U, W, X, Y, Z ), simtri( X, Y, Z, T, U, W ) }.
% 0.74/1.16 { ! simtri( X, Y, Z, V0, V1, V2 ), ! simtri( V0, V1, V2, T, U, W ), simtri
% 0.74/1.16 ( X, Y, Z, T, U, W ) }.
% 0.74/1.16 { ! contri( X, Z, Y, T, W, U ), contri( X, Y, Z, T, U, W ) }.
% 0.74/1.16 { ! contri( Y, X, Z, U, T, W ), contri( X, Y, Z, T, U, W ) }.
% 0.74/1.16 { ! contri( T, U, W, X, Y, Z ), contri( X, Y, Z, T, U, W ) }.
% 0.74/1.16 { ! contri( X, Y, Z, V0, V1, V2 ), ! contri( V0, V1, V2, T, U, W ), contri
% 0.74/1.16 ( X, Y, Z, T, U, W ) }.
% 0.74/1.16 { ! eqangle( X, Y, U, W, Z, T, U, W ), para( X, Y, Z, T ) }.
% 0.74/1.16 { ! para( X, Y, Z, T ), eqangle( X, Y, U, W, Z, T, U, W ) }.
% 0.74/1.16 { ! cyclic( X, Y, Z, T ), eqangle( Z, X, Z, Y, T, X, T, Y ) }.
% 0.74/1.16 { ! eqangle( Z, X, Z, Y, T, X, T, Y ), coll( Z, T, X ), cyclic( X, Y, Z, T
% 0.74/1.16 ) }.
% 0.74/1.16 { ! eqangle( Z, X, Z, Y, T, X, T, Y ), ! coll( Z, T, Y ), cyclic( X, Y, Z,
% 0.74/1.16 T ) }.
% 0.74/1.16 { ! cyclic( X, Y, U, Z ), ! cyclic( X, Y, U, T ), ! cyclic( X, Y, U, W ), !
% 0.74/1.16 eqangle( U, X, U, Y, W, Z, W, T ), cong( X, Y, Z, T ) }.
% 0.74/1.16 { ! midp( Z, U, X ), ! midp( T, U, Y ), para( Z, T, X, Y ) }.
% 0.74/1.16 { ! midp( U, X, T ), ! para( U, Z, T, Y ), ! coll( Z, X, Y ), midp( Z, X, Y
% 0.74/1.16 ) }.
% 0.74/1.16 { ! cong( Z, X, Z, Y ), eqangle( Z, X, X, Y, X, Y, Z, Y ) }.
% 0.74/1.16 { ! eqangle( Z, X, X, Y, X, Y, Z, Y ), coll( Z, X, Y ), cong( Z, X, Z, Y )
% 0.74/1.16 }.
% 0.74/1.16 { ! circle( U, X, Y, Z ), ! perp( U, X, X, T ), eqangle( X, T, X, Y, Z, X,
% 0.74/1.16 Z, Y ) }.
% 0.74/1.16 { ! circle( Y, X, T, U ), ! eqangle( X, Z, X, T, U, X, U, T ), perp( Y, X,
% 0.74/1.16 X, Z ) }.
% 0.74/1.16 { ! circle( T, X, Y, Z ), ! midp( U, Y, Z ), eqangle( X, Y, X, Z, T, Y, T,
% 0.74/1.16 U ) }.
% 0.74/1.16 { ! circle( U, T, X, Y ), ! coll( Z, X, Y ), ! eqangle( T, X, T, Y, U, X, U
% 0.74/1.16 , Z ), midp( Z, X, Y ) }.
% 0.74/1.16 { ! perp( X, Y, Y, T ), ! midp( Z, X, T ), cong( X, Z, Y, Z ) }.
% 0.74/1.16 { ! circle( T, X, Y, Z ), ! coll( T, X, Z ), perp( X, Y, Y, Z ) }.
% 0.74/1.16 { ! cyclic( X, Y, Z, T ), ! para( X, Y, Z, T ), eqangle( X, T, Z, T, Z, T,
% 0.74/1.16 Z, Y ) }.
% 0.74/1.16 { ! midp( T, X, Y ), ! perp( Z, T, X, Y ), cong( Z, X, Z, Y ) }.
% 0.74/1.16 { ! cong( X, Z, Y, Z ), ! cong( X, T, Y, T ), perp( X, Y, Z, T ) }.
% 0.74/1.16 { ! cong( X, Y, T, Y ), ! cong( X, Z, T, Z ), ! cyclic( X, T, Y, Z ), perp
% 0.74/1.16 ( Y, X, X, Z ) }.
% 0.74/1.16 { ! eqangle( X, Y, Y, Z, T, U, U, W ), ! eqangle( X, Z, Y, Z, T, W, U, W )
% 0.74/1.16 , coll( X, Y, Z ), simtri( X, Y, Z, T, U, W ) }.
% 0.74/1.16 { ! simtri( X, Y, Z, T, U, W ), eqratio( X, Y, X, Z, T, U, T, W ) }.
% 0.74/1.16 { ! simtri( X, Y, Z, T, U, W ), eqangle( X, Y, Y, Z, T, U, U, W ) }.
% 0.74/1.16 { ! simtri( X, Y, Z, T, U, W ), ! cong( X, Y, T, U ), contri( X, Y, Z, T, U
% 0.74/1.16 , W ) }.
% 0.74/1.16 { ! contri( X, Y, U, Z, T, W ), cong( X, Y, Z, T ) }.
% 0.74/1.16 { ! midp( U, X, Y ), ! midp( U, Z, T ), para( X, Z, Y, T ) }.
% 0.74/1.16 { ! midp( Z, T, U ), ! para( T, X, U, Y ), ! para( T, Y, U, X ), midp( Z, X
% 0.74/1.16 , Y ) }.
% 0.74/1.16 { ! para( X, Y, Z, T ), ! coll( U, X, Z ), ! coll( U, Y, T ), eqratio( U, X
% 0.74/1.16 , X, Z, U, Y, Y, T ) }.
% 0.74/1.16 { ! para( X, Y, X, Z ), coll( X, Y, Z ) }.
% 0.74/1.16 { ! cong( X, Y, X, Z ), ! coll( X, Y, Z ), midp( X, Y, Z ) }.
% 0.74/1.16 { ! midp( X, Y, Z ), cong( X, Y, X, Z ) }.
% 0.74/1.16 { ! midp( X, Y, Z ), coll( X, Y, Z ) }.
% 0.74/1.16 { ! midp( U, X, Y ), ! midp( W, Z, T ), eqratio( U, X, X, Y, W, Z, Z, T ) }
% 0.74/1.16 .
% 0.74/1.16 { ! eqangle( X, Y, Z, T, Z, T, X, Y ), para( X, Y, Z, T ), perp( X, Y, Z, T
% 0.74/1.16 ) }.
% 0.74/1.16 { ! eqangle( X, Y, Z, T, Z, T, X, Y ), perp( X, Y, Z, T ), para( X, Y, Z, T
% 0.74/1.16 ) }.
% 0.74/1.16 { ! eqangle( X, Y, Z, T, U, W, V0, V1 ), ! para( U, W, V0, V1 ), para( X, Y
% 0.74/1.16 , Z, T ) }.
% 0.74/1.16 { ! eqangle( X, Y, Z, T, U, W, V0, V1 ), ! perp( U, W, V0, V1 ), perp( X, Y
% 0.74/1.16 , Z, T ) }.
% 0.74/1.16 { ! eqratio( X, Y, Z, T, U, W, V0, V1 ), ! cong( U, W, V0, V1 ), cong( X, Y
% 0.74/1.16 , Z, T ) }.
% 0.74/1.16 { ! perp( Z, Y, Y, X ), ! eqangle( T, Z, Y, Z, Y, Z, X, Z ), coll( skol1( U
% 0.74/1.16 , W, Z, T ), Z, T ) }.
% 0.74/1.16 { ! perp( Z, Y, Y, X ), ! eqangle( T, Z, Y, Z, Y, Z, X, Z ), coll( skol1( X
% 0.74/1.16 , Y, Z, T ), X, Y ) }.
% 0.74/1.16 { ! cong( Z, X, Z, Y ), ! eqangle( X, Z, Z, T, Z, T, Z, Y ), coll( skol2( U
% 0.74/1.16 , W, Z, T ), Z, T ) }.
% 0.74/1.16 { ! cong( Z, X, Z, Y ), ! eqangle( X, Z, Z, T, Z, T, Z, Y ), coll( Y, X,
% 0.74/1.16 skol2( X, Y, Z, T ) ) }.
% 0.74/1.16 { ! perp( Z, T, X, Y ), ! eqangle( X, Z, Z, T, Z, T, Z, Y ), coll( skol3( U
% 0.74/1.16 , W, Z, T ), Z, T ) }.
% 0.74/1.16 { ! perp( Z, T, X, Y ), ! eqangle( X, Z, Z, T, Z, T, Z, Y ), coll( Y, X,
% 0.74/1.16 skol3( X, Y, Z, T ) ) }.
% 0.74/1.16 { ! perp( Z, T, X, Y ), ! cong( Z, X, Z, Y ), coll( skol4( U, W, Z, T ), Z
% 0.74/1.16 , T ) }.
% 0.74/1.16 { ! perp( Z, T, X, Y ), ! cong( Z, X, Z, Y ), coll( Y, X, skol4( X, Y, Z, T
% 0.74/1.16 ) ) }.
% 0.74/1.16 { ! eqangle( X, Z, Y, Z, X, T, Y, U ), coll( X, Y, Z ), cyclic( T, Y, Z,
% 0.74/1.16 skol5( W, Y, Z, T ) ) }.
% 0.74/1.16 { ! eqangle( X, Z, Y, Z, X, T, Y, U ), coll( X, Y, Z ), eqangle( X, Z, Y, Z
% 0.74/1.16 , X, skol5( X, Y, Z, T ), Y, skol5( X, Y, Z, T ) ) }.
% 0.74/1.16 { ! midp( U, X, Y ), ! midp( W, Z, T ), midp( skol6( X, V0, V1, T, V2, V3 )
% 0.74/1.16 , X, T ) }.
% 0.74/1.16 { ! midp( U, X, Y ), ! midp( W, Z, T ), para( skol6( X, V0, Z, T, V1, W ),
% 0.74/1.16 W, X, Z ) }.
% 0.74/1.16 { ! midp( U, X, Y ), ! midp( W, Z, T ), para( skol6( X, Y, Z, T, U, W ), U
% 0.74/1.16 , Y, T ) }.
% 0.74/1.16 { ! midp( Z, X, Y ), ! midp( W, T, U ), ! coll( T, X, Y ), ! coll( U, X, Y
% 0.74/1.16 ), midp( skol7( X, V0 ), X, V0 ) }.
% 0.74/1.16 { ! midp( T, X, U ), ! para( X, W, Z, T ), ! para( X, W, U, Y ), ! coll( W
% 0.74/1.16 , Y, Z ), coll( skol8( V0, V1, Z, T ), T, Z ) }.
% 0.74/1.16 { ! midp( T, X, U ), ! para( X, W, Z, T ), ! para( X, W, U, Y ), ! coll( W
% 0.74/1.16 , Y, Z ), coll( skol8( X, Y, Z, T ), X, Y ) }.
% 0.74/1.16 { ! cong( T, Z, T, U ), ! perp( X, Y, Y, T ), cong( T, Z, T, skol9( W, V0,
% 0.74/1.16 Z, T ) ) }.
% 0.74/1.16 { ! cong( T, Z, T, U ), ! perp( X, Y, Y, T ), cong( Y, Z, Y, skol9( W, Y, Z
% 0.74/1.16 , T ) ) }.
% 0.74/1.16 { ! cong( T, Z, T, U ), ! perp( X, Y, Y, T ), para( skol9( X, Y, Z, T ), Z
% 0.74/1.16 , X, Y ) }.
% 0.74/1.16 { ! perp( X, T, Y, Z ), ! perp( Y, T, X, Z ), coll( skol10( U, Y, Z ), Z, Y
% 0.74/1.16 ) }.
% 0.74/1.16 { ! perp( X, T, Y, Z ), ! perp( Y, T, X, Z ), perp( X, skol10( X, Y, Z ), Z
% 0.74/1.16 , Y ) }.
% 0.74/1.16 { ! perp( X, T, Y, Z ), ! perp( Y, T, X, Z ), alpha1( X, Y, Z ) }.
% 0.74/1.16 { ! alpha1( X, Y, Z ), coll( skol11( X, T, Z ), Z, X ) }.
% 0.74/1.16 { ! alpha1( X, Y, Z ), perp( Y, skol11( X, Y, Z ), Z, X ) }.
% 0.74/1.16 { ! coll( T, Z, X ), ! perp( Y, T, Z, X ), alpha1( X, Y, Z ) }.
% 0.74/1.16 { ! circle( Y, X, Z, T ), perp( skol12( X, Y ), X, X, Y ) }.
% 3.33/3.73 { ! circle( W, X, Y, Z ), ! cong( W, X, W, T ), ! cong( U, X, U, Y ), W = U
% 3.33/3.73 , alpha2( X, Z, U, skol13( X, V0, Z, V1, U ) ) }.
% 3.33/3.73 { ! circle( W, X, Y, Z ), ! cong( W, X, W, T ), ! cong( U, X, U, Y ), W = U
% 3.33/3.73 , coll( skol21( V0, Y, T, V1 ), Y, T ) }.
% 3.33/3.73 { ! circle( W, X, Y, Z ), ! cong( W, X, W, T ), ! cong( U, X, U, Y ), W = U
% 3.33/3.73 , cong( skol21( X, Y, T, U ), U, U, X ) }.
% 3.33/3.73 { ! alpha2( X, Y, Z, T ), coll( T, X, Y ) }.
% 3.33/3.73 { ! alpha2( X, Y, Z, T ), cong( T, Z, Z, X ) }.
% 3.33/3.73 { ! coll( T, X, Y ), ! cong( T, Z, Z, X ), alpha2( X, Y, Z, T ) }.
% 3.33/3.73 { ! cyclic( X, Y, Z, T ), ! para( X, Y, Z, T ), ! midp( U, X, Y ), circle(
% 3.33/3.73 skol14( X, Y, Z ), X, Y, Z ) }.
% 3.33/3.73 { ! perp( X, Z, Z, Y ), ! cyclic( X, Y, Z, T ), circle( skol15( X, Y, Z ),
% 3.33/3.73 X, Y, Z ) }.
% 3.33/3.73 { ! perp( X, U, U, T ), ! coll( T, Y, Z ), coll( skol16( W, Y, Z ), Y, Z )
% 3.33/3.73 }.
% 3.33/3.73 { ! perp( X, U, U, T ), ! coll( T, Y, Z ), perp( skol16( X, Y, Z ), X, Y, Z
% 3.33/3.73 ) }.
% 3.33/3.73 { ! perp( X, Z, X, Y ), ! perp( Y, X, Y, T ), ! midp( U, Z, T ), midp(
% 3.33/3.73 skol17( X, Y ), X, Y ) }.
% 3.33/3.73 { ! cong( Y, X, Y, Z ), ! perp( X, Y, Y, Z ), coll( X, Y, skol18( X, Y ) )
% 3.33/3.73 }.
% 3.33/3.73 { ! cong( Y, X, Y, Z ), ! perp( X, Y, Y, Z ), cong( Y, X, Y, skol18( X, Y )
% 3.33/3.73 ) }.
% 3.33/3.73 { ! para( U, W, X, Y ), ! coll( Z, U, X ), ! coll( Z, W, Y ), ! coll( T, U
% 3.33/3.73 , W ), coll( Z, T, skol19( V0, V1, Z, T ) ) }.
% 3.33/3.73 { ! para( U, W, X, Y ), ! coll( Z, U, X ), ! coll( Z, W, Y ), ! coll( T, U
% 3.33/3.73 , W ), coll( skol19( X, Y, Z, T ), X, Y ) }.
% 3.33/3.73 { circle( skol29, skol20, skol27, skol28 ) }.
% 3.33/3.73 { circle( skol29, skol20, skol22, skol30 ) }.
% 3.33/3.73 { perp( skol31, skol22, skol20, skol27 ) }.
% 3.33/3.73 { coll( skol31, skol20, skol27 ) }.
% 3.33/3.73 { perp( skol23, skol22, skol20, skol28 ) }.
% 3.33/3.73 { coll( skol23, skol20, skol28 ) }.
% 3.33/3.73 { circle( skol29, skol20, skol24, skol32 ) }.
% 3.33/3.73 { perp( skol33, skol24, skol20, skol27 ) }.
% 3.33/3.73 { coll( skol33, skol20, skol27 ) }.
% 3.33/3.73 { perp( skol25, skol24, skol20, skol28 ) }.
% 3.33/3.73 { coll( skol25, skol20, skol28 ) }.
% 3.33/3.73 { coll( skol26, skol33, skol25 ) }.
% 3.33/3.73 { coll( skol26, skol31, skol23 ) }.
% 3.33/3.73 { ! eqangle( skol22, skol20, skol20, skol24, skol25, skol26, skol26, skol23
% 3.33/3.73 ) }.
% 3.33/3.73
% 3.33/3.73 percentage equality = 0.008621, percentage horn = 0.930769
% 3.33/3.73 This is a problem with some equality
% 3.33/3.73
% 3.33/3.73
% 3.33/3.73
% 3.33/3.73 Options Used:
% 3.33/3.73
% 3.33/3.73 useres = 1
% 3.33/3.73 useparamod = 1
% 3.33/3.73 useeqrefl = 1
% 3.33/3.73 useeqfact = 1
% 3.33/3.73 usefactor = 1
% 3.33/3.73 usesimpsplitting = 0
% 3.33/3.73 usesimpdemod = 5
% 3.33/3.73 usesimpres = 3
% 3.33/3.73
% 3.33/3.73 resimpinuse = 1000
% 3.33/3.73 resimpclauses = 20000
% 3.33/3.73 substype = eqrewr
% 3.33/3.73 backwardsubs = 1
% 3.33/3.73 selectoldest = 5
% 3.33/3.73
% 3.33/3.73 litorderings [0] = split
% 3.33/3.73 litorderings [1] = extend the termordering, first sorting on arguments
% 3.33/3.73
% 3.33/3.73 termordering = kbo
% 3.33/3.73
% 3.33/3.73 litapriori = 0
% 3.33/3.73 termapriori = 1
% 3.33/3.73 litaposteriori = 0
% 3.33/3.73 termaposteriori = 0
% 3.33/3.73 demodaposteriori = 0
% 3.33/3.73 ordereqreflfact = 0
% 3.33/3.73
% 3.33/3.73 litselect = negord
% 3.33/3.73
% 3.33/3.73 maxweight = 15
% 3.33/3.73 maxdepth = 30000
% 3.33/3.73 maxlength = 115
% 3.33/3.73 maxnrvars = 195
% 3.33/3.73 excuselevel = 1
% 3.33/3.73 increasemaxweight = 1
% 3.33/3.73
% 3.33/3.73 maxselected = 10000000
% 3.33/3.73 maxnrclauses = 10000000
% 3.33/3.73
% 3.33/3.73 showgenerated = 0
% 3.33/3.73 showkept = 0
% 3.33/3.73 showselected = 0
% 3.33/3.73 showdeleted = 0
% 3.33/3.73 showresimp = 1
% 3.33/3.73 showstatus = 2000
% 3.33/3.73
% 3.33/3.73 prologoutput = 0
% 3.33/3.73 nrgoals = 5000000
% 3.33/3.73 totalproof = 1
% 3.33/3.73
% 3.33/3.73 Symbols occurring in the translation:
% 3.33/3.73
% 3.33/3.73 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 3.33/3.73 . [1, 2] (w:1, o:48, a:1, s:1, b:0),
% 3.33/3.73 ! [4, 1] (w:0, o:43, a:1, s:1, b:0),
% 3.33/3.73 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 3.33/3.73 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 3.33/3.73 coll [38, 3] (w:1, o:76, a:1, s:1, b:0),
% 3.33/3.73 para [40, 4] (w:1, o:84, a:1, s:1, b:0),
% 3.33/3.73 perp [43, 4] (w:1, o:85, a:1, s:1, b:0),
% 3.33/3.73 midp [45, 3] (w:1, o:77, a:1, s:1, b:0),
% 3.33/3.73 cong [47, 4] (w:1, o:86, a:1, s:1, b:0),
% 3.33/3.73 circle [48, 4] (w:1, o:87, a:1, s:1, b:0),
% 3.33/3.73 cyclic [49, 4] (w:1, o:88, a:1, s:1, b:0),
% 3.33/3.73 eqangle [54, 8] (w:1, o:103, a:1, s:1, b:0),
% 3.33/3.73 eqratio [57, 8] (w:1, o:104, a:1, s:1, b:0),
% 3.33/3.73 simtri [59, 6] (w:1, o:100, a:1, s:1, b:0),
% 3.33/3.73 contri [60, 6] (w:1, o:101, a:1, s:1, b:0),
% 3.33/3.73 alpha1 [70, 3] (w:1, o:78, a:1, s:1, b:1),
% 3.33/3.73 alpha2 [71, 4] (w:1, o:89, a:1, s:1, b:1),
% 3.33/3.73 skol1 [72, 4] (w:1, o:90, a:1, s:1, b:1),
% 3.33/3.73 skol2 [73, 4] (w:1, o:92, a:1, s:1, b:1),
% 19.16/19.53 skol3 [74, 4] (w:1, o:94, a:1, s:1, b:1),
% 19.16/19.53 skol4 [75, 4] (w:1, o:95, a:1, s:1, b:1),
% 19.16/19.53 skol5 [76, 4] (w:1, o:96, a:1, s:1, b:1),
% 19.16/19.53 skol6 [77, 6] (w:1, o:102, a:1, s:1, b:1),
% 19.16/19.53 skol7 [78, 2] (w:1, o:72, a:1, s:1, b:1),
% 19.16/19.53 skol8 [79, 4] (w:1, o:97, a:1, s:1, b:1),
% 19.16/19.53 skol9 [80, 4] (w:1, o:98, a:1, s:1, b:1),
% 19.16/19.53 skol10 [81, 3] (w:1, o:79, a:1, s:1, b:1),
% 19.16/19.53 skol11 [82, 3] (w:1, o:80, a:1, s:1, b:1),
% 19.16/19.53 skol12 [83, 2] (w:1, o:73, a:1, s:1, b:1),
% 19.16/19.53 skol13 [84, 5] (w:1, o:99, a:1, s:1, b:1),
% 19.16/19.53 skol14 [85, 3] (w:1, o:81, a:1, s:1, b:1),
% 19.16/19.53 skol15 [86, 3] (w:1, o:82, a:1, s:1, b:1),
% 19.16/19.53 skol16 [87, 3] (w:1, o:83, a:1, s:1, b:1),
% 19.16/19.53 skol17 [88, 2] (w:1, o:74, a:1, s:1, b:1),
% 19.16/19.53 skol18 [89, 2] (w:1, o:75, a:1, s:1, b:1),
% 19.16/19.53 skol19 [90, 4] (w:1, o:91, a:1, s:1, b:1),
% 19.16/19.53 skol20 [91, 0] (w:1, o:30, a:1, s:1, b:1),
% 19.16/19.53 skol21 [92, 4] (w:1, o:93, a:1, s:1, b:1),
% 19.16/19.53 skol22 [93, 0] (w:1, o:31, a:1, s:1, b:1),
% 19.16/19.53 skol23 [94, 0] (w:1, o:32, a:1, s:1, b:1),
% 19.16/19.53 skol24 [95, 0] (w:1, o:33, a:1, s:1, b:1),
% 19.16/19.53 skol25 [96, 0] (w:1, o:34, a:1, s:1, b:1),
% 19.16/19.53 skol26 [97, 0] (w:1, o:35, a:1, s:1, b:1),
% 19.16/19.53 skol27 [98, 0] (w:1, o:36, a:1, s:1, b:1),
% 19.16/19.53 skol28 [99, 0] (w:1, o:37, a:1, s:1, b:1),
% 19.16/19.53 skol29 [100, 0] (w:1, o:38, a:1, s:1, b:1),
% 19.16/19.53 skol30 [101, 0] (w:1, o:39, a:1, s:1, b:1),
% 19.16/19.53 skol31 [102, 0] (w:1, o:40, a:1, s:1, b:1),
% 19.16/19.53 skol32 [103, 0] (w:1, o:41, a:1, s:1, b:1),
% 19.16/19.53 skol33 [104, 0] (w:1, o:42, a:1, s:1, b:1).
% 19.16/19.53
% 19.16/19.53
% 19.16/19.53 Starting Search:
% 19.16/19.53
% 19.16/19.53 *** allocated 15000 integers for clauses
% 19.16/19.53 *** allocated 22500 integers for clauses
% 19.16/19.53 *** allocated 33750 integers for clauses
% 19.16/19.53 *** allocated 50625 integers for clauses
% 19.16/19.53 *** allocated 22500 integers for termspace/termends
% 19.16/19.53 *** allocated 75937 integers for clauses
% 19.16/19.53 Resimplifying inuse:
% 19.16/19.53 Done
% 19.16/19.53
% 19.16/19.53 *** allocated 33750 integers for termspace/termends
% 19.16/19.53 *** allocated 113905 integers for clauses
% 19.16/19.53 *** allocated 50625 integers for termspace/termends
% 19.16/19.53
% 19.16/19.53 Intermediate Status:
% 19.16/19.53 Generated: 8761
% 19.16/19.53 Kept: 2006
% 19.16/19.53 Inuse: 311
% 19.16/19.53 Deleted: 0
% 19.16/19.53 Deletedinuse: 0
% 19.16/19.53
% 19.16/19.53 Resimplifying inuse:
% 19.16/19.53 Done
% 19.16/19.53
% 19.16/19.53 *** allocated 170857 integers for clauses
% 19.16/19.53 *** allocated 75937 integers for termspace/termends
% 19.16/19.53 Resimplifying inuse:
% 19.16/19.53 Done
% 19.16/19.53
% 19.16/19.53 *** allocated 256285 integers for clauses
% 19.16/19.53 *** allocated 113905 integers for termspace/termends
% 19.16/19.53
% 19.16/19.53 Intermediate Status:
% 19.16/19.53 Generated: 26013
% 19.16/19.53 Kept: 4031
% 19.16/19.53 Inuse: 461
% 19.16/19.53 Deleted: 1
% 19.16/19.53 Deletedinuse: 1
% 19.16/19.53
% 19.16/19.53 Resimplifying inuse:
% 19.16/19.53 Done
% 19.16/19.53
% 19.16/19.53 Resimplifying inuse:
% 19.16/19.53 Done
% 19.16/19.53
% 19.16/19.53 *** allocated 384427 integers for clauses
% 19.16/19.53 *** allocated 170857 integers for termspace/termends
% 19.16/19.53
% 19.16/19.53 Intermediate Status:
% 19.16/19.53 Generated: 39023
% 19.16/19.53 Kept: 6312
% 19.16/19.53 Inuse: 531
% 19.16/19.53 Deleted: 1
% 19.16/19.53 Deletedinuse: 1
% 19.16/19.53
% 19.16/19.53 Resimplifying inuse:
% 19.16/19.53 Done
% 19.16/19.53
% 19.16/19.53 Resimplifying inuse:
% 19.16/19.53 Done
% 19.16/19.53
% 19.16/19.53 *** allocated 576640 integers for clauses
% 19.16/19.53
% 19.16/19.53 Intermediate Status:
% 19.16/19.53 Generated: 52742
% 19.16/19.53 Kept: 8318
% 19.16/19.53 Inuse: 675
% 19.16/19.53 Deleted: 2
% 19.16/19.53 Deletedinuse: 1
% 19.16/19.53
% 19.16/19.53 *** allocated 256285 integers for termspace/termends
% 19.16/19.53 Resimplifying inuse:
% 19.16/19.53 Done
% 19.16/19.53
% 19.16/19.53 Resimplifying inuse:
% 19.16/19.53 Done
% 19.16/19.53
% 19.16/19.53
% 19.16/19.53 Intermediate Status:
% 19.16/19.53 Generated: 80609
% 19.16/19.53 Kept: 10336
% 19.16/19.53 Inuse: 770
% 19.16/19.53 Deleted: 5
% 19.16/19.53 Deletedinuse: 3
% 19.16/19.53
% 19.16/19.53 Resimplifying inuse:
% 19.16/19.53 Done
% 19.16/19.53
% 19.16/19.53 Resimplifying inuse:
% 19.16/19.53 Done
% 19.16/19.53
% 19.16/19.53 *** allocated 864960 integers for clauses
% 19.16/19.53
% 19.16/19.53 Intermediate Status:
% 19.16/19.53 Generated: 93619
% 19.16/19.53 Kept: 12338
% 19.16/19.53 Inuse: 862
% 19.16/19.53 Deleted: 6
% 19.16/19.53 Deletedinuse: 4
% 19.16/19.53
% 19.16/19.53 Resimplifying inuse:
% 19.16/19.53 Done
% 19.16/19.53
% 19.16/19.53 Resimplifying inuse:
% 19.16/19.53 Done
% 19.16/19.53
% 19.16/19.53
% 19.16/19.53 Intermediate Status:
% 19.16/19.53 Generated: 101176
% 19.16/19.53 Kept: 14338
% 19.16/19.53 Inuse: 890
% 19.16/19.53 Deleted: 6
% 19.16/19.53 Deletedinuse: 4
% 19.16/19.53
% 19.16/19.53 Resimplifying inuse:
% 19.16/19.53 Done
% 19.16/19.53
% 19.16/19.53 *** allocated 384427 integers for termspace/termends
% 19.16/19.53 Resimplifying inuse:
% 19.16/19.53 Done
% 19.16/19.53
% 19.16/19.53
% 19.16/19.53 Intermediate Status:
% 19.16/19.53 Generated: 112186
% 19.16/19.53 Kept: 16340
% 19.16/19.53 Inuse: 984
% 19.16/19.53 Deleted: 8
% 19.16/19.53 Deletedinuse: 4
% 19.16/19.53
% 19.16/19.53 Resimplifying inuse:
% 19.16/19.53 Done
% 19.16/19.53
% 19.16/19.53 Resimplifying inuse:
% 19.16/19.53 Done
% 19.16/19.53
% 19.16/19.53
% 19.16/19.53 Intermediate Status:
% 19.16/19.53 Generated: 124865
% 19.16/19.53 Kept: 18355
% 19.16/19.53 Inuse: 1083
% 19.16/19.53 Deleted: 8
% 19.16/19.53 Deletedinuse: 4
% 19.16/19.53
% 19.16/19.53 *** allocated 1297440 integers for clauses
% 19.16/19.53 Resimplifying inuse:
% 19.16/19.53 Done
% 19.16/19.53
% 19.16/19.53 Resimplifying inuse:
% 19.16/19.53 Done
% 19.16/19.53
% 19.16/19.53 Resimplifying clauses:
% 19.16/19.53 Done
% 19.16/19.53
% 19.16/19.53
% 19.16/19.53 Intermediate Status:
% 19.16/19.53 Generated: 135818
% 19.16/19.53 Kept: 20367
% 19.16/19.53 Inuse: 1182
% 19.16/19.53 Deleted: 1080
% 19.16/19.53 Deletedinuse: 8
% 19.16/19.53
% 19.16/19.53 Resimplifying inuse:
% 19.16/19.53 Done
% 19.16/19.53
% 19.16/19.53 Resimplifying inuse:
% 19.16/19.53 Done
% 19.16/19.53
% 19.16/19.53
% 19.16/19.53 Intermediate Status:
% 19.16/19.53 Generated: 147138
% 19.16/19.53 Kept: 22376
% 19.16/19.53 Inuse: 1283
% 19.16/19.53 Deleted: 1082
% 19.16/19.53 Deletedinuse: 8
% 19.16/19.53
% 19.16/19.53 Resimplifying inuse:
% 19.16/19.53 Done
% 19.16/19.53
% 19.16/19.53 Resimplifying inuse:
% 19.16/19.53 Done
% 19.16/19.53
% 19.16/19.53
% 19.16/19.53 Intermediate Status:
% 19.16/19.53 Generated: 158380
% 19.16/19.53 Kept: 24382
% 19.16/19.53 Inuse: 1387
% 19.16/19.53 Deleted: 1082
% 19.16/19.53 Deletedinuse: 8
% 19.16/19.53
% 19.16/19.53 Resimplifying inuse:
% 19.16/19.53 Done
% 19.16/19.53
% 19.16/19.53 Resimplifying inuse:
% 19.16/19.53 Done
% 19.16/19.53
% 19.16/19.53 *** allocated 576640 integers for termspace/termends
% 19.16/19.53
% 19.16/19.53 Intermediate Status:
% 19.16/19.53 Generated: 168517
% 19.16/19.53 Kept: 26395
% 19.16/19.53 Inuse: 1497
% 19.16/19.53 Deleted: 1082
% 19.16/19.53 Deletedinuse: 8
% 19.16/19.53
% 19.16/19.53 Resimplifying inuse:
% 19.16/19.53 Done
% 19.16/19.53
% 19.16/19.53 *** allocated 1946160 integers for clauses
% 19.16/19.53 Resimplifying inuse:
% 19.16/19.53 Done
% 19.16/19.53
% 19.16/19.53
% 19.16/19.53 Intermediate Status:
% 19.16/19.53 Generated: 180568
% 19.16/19.53 Kept: 28411
% 19.16/19.53 Inuse: 1621
% 19.16/19.53 Deleted: 1082
% 19.16/19.53 Deletedinuse: 8
% 19.16/19.53
% 19.16/19.53 Resimplifying inuse:
% 19.16/19.53 Done
% 19.16/19.53
% 19.16/19.53 Resimplifying inuse:
% 19.16/19.53 Done
% 19.16/19.53
% 19.16/19.53
% 19.16/19.53 Intermediate Status:
% 19.16/19.53 Generated: 192091
% 19.16/19.53 Kept: 30416
% 19.16/19.53 Inuse: 1737
% 19.16/19.53 Deleted: 1082
% 19.16/19.53 Deletedinuse: 8
% 19.16/19.53
% 19.16/19.53 Resimplifying inuse:
% 19.16/19.53 Done
% 19.16/19.53
% 19.16/19.53 Resimplifying inuse:
% 19.16/19.53 Done
% 19.16/19.53
% 19.16/19.53
% 19.16/19.53 Intermediate Status:
% 19.16/19.53 Generated: 207130
% 19.16/19.53 Kept: 32416
% 19.16/19.53 Inuse: 1882
% 19.16/19.53 Deleted: 1082
% 19.16/19.53 Deletedinuse: 8
% 19.16/19.53
% 19.16/19.53 Resimplifying inuse:
% 19.16/19.53 Done
% 19.16/19.53
% 19.16/19.53 Resimplifying inuse:
% 19.16/19.53 Done
% 19.16/19.53
% 19.16/19.53
% 19.16/19.53 Intermediate Status:
% 19.16/19.53 Generated: 221315
% 19.16/19.53 Kept: 34416
% 19.16/19.53 Inuse: 2023
% 19.16/19.53 Deleted: 1101
% 19.16/19.53 Deletedinuse: 26
% 19.16/19.53
% 19.16/19.53 Resimplifying inuse:
% 19.16/19.53 Done
% 19.16/19.53
% 19.16/19.53 Resimplifying inuse:
% 19.16/19.53 Done
% 19.16/19.53
% 19.16/19.53
% 19.16/19.53 Intermediate Status:
% 19.16/19.53 Generated: 238569
% 19.16/19.53 Kept: 36426
% 19.16/19.53 Inuse: 2187
% 19.16/19.53 Deleted: 1113
% 19.16/19.53 Deletedinuse: 38
% 19.16/19.53
% 19.16/19.53 Resimplifying inuse:
% 19.16/19.53 Done
% 19.16/19.53
% 19.16/19.53 Resimplifying inuse:
% 19.16/19.53 Done
% 19.16/19.53
% 19.16/19.53
% 19.16/19.53 Intermediate Status:
% 19.16/19.53 Generated: 257600
% 19.16/19.53 Kept: 38428
% 19.16/19.53 Inuse: 2350
% 19.16/19.53 Deleted: 1130
% 19.16/19.53 Deletedinuse: 55
% 19.16/19.53
% 19.16/19.53 Resimplifying inuse:
% 19.16/19.53 Done
% 19.16/19.53
% 19.16/19.53 Resimplifying clauses:
% 19.16/19.53 Done
% 19.16/19.53
% 19.16/19.53 Resimplifying inuse:
% 19.16/19.53 Done
% 19.16/19.53
% 19.16/19.53
% 19.16/19.53 Intermediate Status:
% 19.16/19.53 Generated: 270107
% 19.16/19.53 Kept: 40446
% 19.16/19.53 Inuse: 2470
% 19.16/19.53 Deleted: 2985
% 19.16/19.53 Deletedinuse: 76
% 19.16/19.53
% 19.16/19.53 Resimplifying inuse:
% 19.16/19.53 Done
% 19.16/19.53
% 19.16/19.53 *** allocated 2919240 integers for clauses
% 19.16/19.53 *** allocated 864960 integers for termspace/termends
% 19.16/19.53 Resimplifying inuse:
% 19.16/19.53 Done
% 19.16/19.53
% 19.16/19.53
% 19.16/19.53 Intermediate Status:
% 19.16/19.53 Generated: 283166
% 19.16/19.53 Kept: 42449
% 19.16/19.53 Inuse: 2604
% 19.16/19.53 Deleted: 3007
% 19.16/19.53 Deletedinuse: 98
% 19.16/19.53
% 19.16/19.53 Resimplifying inuse:
% 19.16/19.53 Done
% 19.16/19.53
% 19.16/19.53 Resimplifying inuse:
% 19.16/19.53 Done
% 19.16/19.53
% 19.16/19.53
% 19.16/19.53 Intermediate Status:
% 19.16/19.53 Generated: 300966
% 19.16/19.53 Kept: 44588
% 19.16/19.53 Inuse: 2770
% 19.16/19.53 Deleted: 3025
% 19.16/19.53 Deletedinuse: 116
% 19.16/19.53
% 19.16/19.53 Resimplifying inuse:
% 19.16/19.53 Done
% 19.16/19.53
% 19.16/19.53 Resimplifying inuse:
% 19.16/19.53 Done
% 19.16/19.53
% 19.16/19.53
% 19.16/19.53 Intermediate Status:
% 19.16/19.53 Generated: 320220
% 19.16/19.53 Kept: 46591
% 19.16/19.53 Inuse: 2921
% 19.16/19.53 Deleted: 3039
% 19.16/19.53 Deletedinuse: 129
% 19.16/19.53
% 19.16/19.53 Resimplifying inuse:
% 19.16/19.53 Done
% 19.16/19.53
% 19.16/19.53 Resimplifying inuse:
% 19.16/19.53 Done
% 19.16/19.53
% 19.16/19.53
% 19.16/19.53 Intermediate Status:
% 19.16/19.53 Generated: 345492
% 19.16/19.53 Kept: 48598
% 19.16/19.53 Inuse: 3096
% 19.16/19.53 Deleted: 3055
% 19.16/19.53 Deletedinuse: 144
% 19.16/19.53
% 19.16/19.53 Resimplifying inuse:
% 19.16/19.53 Done
% 19.16/19.53
% 19.16/19.53 Resimplifying inuse:
% 19.16/19.53 Done
% 19.16/19.53
% 19.16/19.53
% 19.16/19.53 Intermediate Status:
% 19.16/19.53 Generated: 366360
% 19.16/19.53 Kept: 50601
% 19.16/19.53 Inuse: 3292
% 19.16/19.53 Deleted: 3235
% 19.16/19.53 Deletedinuse: 277
% 19.16/19.53
% 19.16/19.53 Resimplifying inuse:
% 19.16/19.53 Done
% 19.16/19.53
% 19.16/19.53 Resimplifying inuse:
% 19.16/19.53 Done
% 19.16/19.53
% 19.16/19.53
% 19.16/19.53 Intermediate Status:
% 19.16/19.53 Generated: 387293
% 19.16/19.53 Kept: 52605
% 19.16/19.53 Inuse: 3513
% 19.16/19.53 Deleted: 3290
% 19.16/19.53 Deletedinuse: 277
% 19.16/19.53
% 19.16/19.53 Resimplifying inuse:
% 19.16/19.53 Done
% 19.16/19.53
% 19.16/19.53 Resimplifying inuse:
% 19.16/19.53 Done
% 19.16/19.53
% 19.16/19.53
% 19.16/19.53 Intermediate Status:
% 19.16/19.53 Generated: 409458
% 19.16/19.53 Kept: 54611
% 19.16/19.53 Inuse: 3746
% 19.16/19.53 Deleted: 3348
% 19.16/19.53 Deletedinuse: 277
% 19.16/19.53
% 19.16/19.53
% 19.16/19.53 Bliksems!, er is een bewijs:
% 19.16/19.53 % SZS status Theorem
% 19.16/19.53 % SZS output start Refutation
% 19.16/19.53
% 19.16/19.53 (0) {G0,W8,D2,L2,V3,M2} I { ! coll( X, Y, Z ), coll( X, Z, Y ) }.
% 19.16/19.53 (1) {G0,W8,D2,L2,V3,M2} I { ! coll( X, Y, Z ), coll( Y, X, Z ) }.
% 19.16/19.53 (2) {G0,W12,D2,L3,V4,M3} I { ! coll( X, T, Y ), ! coll( X, T, Z ), coll( Y
% 19.16/19.53 , Z, X ) }.
% 19.16/19.53 (3) {G0,W10,D2,L2,V4,M2} I { ! para( X, Y, Z, T ), para( X, Y, T, Z ) }.
% 19.16/19.53 (7) {G0,W10,D2,L2,V4,M2} I { ! perp( X, Y, Z, T ), perp( Z, T, X, Y ) }.
% 19.16/19.53 (8) {G0,W15,D2,L3,V6,M3} I { ! perp( X, Y, U, W ), ! perp( U, W, Z, T ),
% 19.16/19.53 para( X, Y, Z, T ) }.
% 19.16/19.53 (13) {G0,W10,D2,L2,V4,M2} I { ! cyclic( X, Y, Z, T ), cyclic( X, Y, T, Z )
% 19.16/19.53 }.
% 19.16/19.53 (14) {G0,W10,D2,L2,V4,M2} I { ! cyclic( X, Y, Z, T ), cyclic( X, Z, Y, T )
% 19.16/19.53 }.
% 19.16/19.53 (15) {G0,W10,D2,L2,V4,M2} I { ! cyclic( X, Y, Z, T ), cyclic( Y, X, Z, T )
% 19.16/19.53 }.
% 19.16/19.53 (16) {G0,W15,D2,L3,V5,M3} I { ! cyclic( U, X, Y, Z ), ! cyclic( U, X, Y, T
% 19.16/19.53 ), cyclic( X, Y, Z, T ) }.
% 19.16/19.53 (18) {G0,W18,D2,L2,V8,M2} I { ! eqangle( X, Y, Z, T, U, W, V0, V1 ),
% 19.16/19.53 eqangle( Z, T, X, Y, V0, V1, U, W ) }.
% 19.16/19.53 (19) {G0,W18,D2,L2,V8,M2} I { ! eqangle( X, Y, Z, T, U, W, V0, V1 ),
% 19.16/19.53 eqangle( U, W, V0, V1, X, Y, Z, T ) }.
% 19.16/19.53 (20) {G0,W18,D2,L2,V8,M2} I { ! eqangle( X, Y, Z, T, U, W, V0, V1 ),
% 19.16/19.53 eqangle( X, Y, U, W, Z, T, V0, V1 ) }.
% 19.16/19.53 (21) {G0,W27,D2,L3,V12,M3} I { ! eqangle( X, Y, Z, T, V2, V3, V4, V5 ), !
% 19.16/19.53 eqangle( V2, V3, V4, V5, U, W, V0, V1 ), eqangle( X, Y, Z, T, U, W, V0,
% 19.16/19.53 V1 ) }.
% 19.16/19.53 (39) {G0,W14,D2,L2,V6,M2} I { ! para( X, Y, Z, T ), eqangle( X, Y, U, W, Z
% 19.16/19.53 , T, U, W ) }.
% 19.16/19.53 (40) {G0,W14,D2,L2,V4,M2} I { ! cyclic( X, Y, Z, T ), eqangle( Z, X, Z, Y,
% 19.16/19.53 T, X, T, Y ) }.
% 19.16/19.53 (42) {G0,W18,D2,L3,V4,M3} I { ! eqangle( Z, X, Z, Y, T, X, T, Y ), ! coll(
% 19.16/19.53 Z, T, Y ), cyclic( X, Y, Z, T ) }.
% 19.16/19.53 (43) {G0,W29,D2,L5,V6,M5} I { ! cyclic( X, Y, U, Z ), ! cyclic( X, Y, U, T
% 19.16/19.53 ), ! cyclic( X, Y, U, W ), ! eqangle( U, X, U, Y, W, Z, W, T ), cong( X
% 19.16/19.53 , Y, Z, T ) }.
% 19.16/19.53 (56) {G0,W15,D2,L3,V4,M3} I { ! cong( X, Z, Y, Z ), ! cong( X, T, Y, T ),
% 19.16/19.53 perp( X, Y, Z, T ) }.
% 19.16/19.53 (121) {G0,W4,D2,L1,V0,M1} I { coll( skol23, skol20, skol28 ) }.
% 19.16/19.53 (125) {G0,W5,D2,L1,V0,M1} I { perp( skol25, skol24, skol20, skol28 ) }.
% 19.16/19.53 (129) {G0,W9,D2,L1,V0,M1} I { ! eqangle( skol22, skol20, skol20, skol24,
% 19.16/19.53 skol25, skol26, skol26, skol23 ) }.
% 19.16/19.53 (167) {G1,W4,D2,L1,V0,M1} R(0,121) { coll( skol23, skol28, skol20 ) }.
% 19.16/19.53 (175) {G2,W4,D2,L1,V0,M1} R(1,167) { coll( skol28, skol23, skol20 ) }.
% 19.16/19.53 (208) {G1,W12,D2,L3,V4,M3} R(2,0) { ! coll( X, Y, Z ), ! coll( X, Y, T ),
% 19.16/19.53 coll( Z, X, T ) }.
% 19.16/19.53 (219) {G2,W8,D2,L2,V3,M2} F(208) { ! coll( X, Y, Z ), coll( Z, X, Z ) }.
% 19.16/19.53 (293) {G1,W5,D2,L1,V0,M1} R(125,7) { perp( skol20, skol28, skol25, skol24 )
% 19.16/19.53 }.
% 19.16/19.53 (296) {G1,W10,D2,L2,V2,M2} R(8,125) { ! perp( X, Y, skol25, skol24 ), para
% 19.16/19.53 ( X, Y, skol20, skol28 ) }.
% 19.16/19.53 (297) {G1,W15,D2,L3,V6,M3} R(8,7) { ! perp( X, Y, Z, T ), para( U, W, Z, T
% 19.16/19.53 ), ! perp( X, Y, U, W ) }.
% 19.16/19.53 (406) {G1,W10,D2,L2,V4,M2} R(14,13) { ! cyclic( X, Y, Z, T ), cyclic( X, Z
% 19.16/19.53 , T, Y ) }.
% 19.16/19.53 (424) {G1,W10,D2,L2,V4,M2} R(15,14) { cyclic( X, Y, Z, T ), ! cyclic( Y, Z
% 19.16/19.53 , X, T ) }.
% 19.16/19.53 (426) {G1,W10,D2,L2,V4,M2} R(15,13) { cyclic( X, Y, Z, T ), ! cyclic( Y, X
% 19.16/19.53 , T, Z ) }.
% 19.16/19.53 (450) {G1,W15,D2,L3,V5,M3} R(16,15) { ! cyclic( X, Y, Z, T ), ! cyclic( X,
% 19.16/19.53 Y, Z, U ), cyclic( Z, Y, T, U ) }.
% 19.16/19.53 (455) {G1,W15,D2,L3,V5,M3} R(16,13) { ! cyclic( X, Y, Z, T ), cyclic( Y, Z
% 19.16/19.53 , T, U ), ! cyclic( X, Y, U, Z ) }.
% 19.16/19.53 (459) {G2,W10,D2,L2,V4,M2} F(450) { ! cyclic( X, Y, Z, T ), cyclic( Z, Y, T
% 19.16/19.53 , T ) }.
% 19.16/19.53 (478) {G3,W4,D2,L1,V0,M1} R(219,175) { coll( skol20, skol28, skol20 ) }.
% 19.16/19.53 (531) {G1,W18,D2,L2,V8,M2} R(20,19) { ! eqangle( X, Y, Z, T, U, W, V0, V1 )
% 19.16/19.53 , eqangle( Z, T, V0, V1, X, Y, U, W ) }.
% 19.16/19.53 (673) {G4,W4,D2,L1,V0,M1} R(478,0) { coll( skol20, skol20, skol28 ) }.
% 19.16/19.53 (794) {G1,W23,D2,L3,V10,M3} R(39,21) { ! para( X, Y, Z, T ), ! eqangle( Z,
% 19.16/19.53 T, U, W, V0, V1, V2, V3 ), eqangle( X, Y, U, W, V0, V1, V2, V3 ) }.
% 19.16/19.53 (798) {G1,W14,D2,L2,V6,M2} R(39,18) { ! para( X, Y, Z, T ), eqangle( U, W,
% 19.16/19.53 X, Y, U, W, Z, T ) }.
% 19.16/19.53 (802) {G1,W14,D2,L2,V6,M2} R(39,3) { eqangle( X, Y, Z, T, U, W, Z, T ), !
% 19.16/19.53 para( X, Y, W, U ) }.
% 19.16/19.53 (902) {G5,W14,D2,L2,V1,M2} R(42,673) { ! eqangle( skol20, X, skol20, skol28
% 19.16/19.53 , skol20, X, skol20, skol28 ), cyclic( X, skol28, skol20, skol20 ) }.
% 19.16/19.53 (1025) {G1,W20,D2,L4,V4,M4} R(43,40);f { ! cyclic( X, Y, Z, X ), ! cyclic(
% 19.16/19.53 X, Y, Z, Y ), ! cyclic( X, Y, Z, T ), cong( X, Y, X, Y ) }.
% 19.16/19.53 (1057) {G2,W15,D2,L3,V3,M3} F(1025) { ! cyclic( X, Y, Z, X ), ! cyclic( X,
% 19.16/19.53 Y, Z, Y ), cong( X, Y, X, Y ) }.
% 19.16/19.53 (21290) {G2,W5,D2,L1,V0,M1} R(296,293) { para( skol20, skol28, skol20,
% 19.16/19.53 skol28 ) }.
% 19.16/19.53 (44856) {G3,W9,D2,L1,V2,M1} R(798,21290) { eqangle( X, Y, skol20, skol28, X
% 19.16/19.53 , Y, skol20, skol28 ) }.
% 19.16/19.53 (49831) {G6,W5,D2,L1,V1,M1} S(902);r(44856) { cyclic( X, skol28, skol20,
% 19.16/19.53 skol20 ) }.
% 19.16/19.53 (49852) {G7,W5,D2,L1,V1,M1} R(49831,426) { cyclic( skol28, X, skol20,
% 19.16/19.53 skol20 ) }.
% 19.16/19.53 (49864) {G8,W5,D2,L1,V1,M1} R(49852,459) { cyclic( skol20, X, skol20,
% 19.16/19.53 skol20 ) }.
% 19.16/19.53 (49886) {G9,W5,D2,L1,V1,M1} R(49864,424) { cyclic( skol20, skol20, X,
% 19.16/19.53 skol20 ) }.
% 19.16/19.53 (49887) {G9,W5,D2,L1,V1,M1} R(49864,406) { cyclic( skol20, skol20, skol20,
% 19.16/19.53 X ) }.
% 19.16/19.53 (49892) {G10,W5,D2,L1,V2,M1} R(49886,455);r(49887) { cyclic( skol20, skol20
% 19.16/19.53 , X, Y ) }.
% 19.16/19.53 (49914) {G11,W5,D2,L1,V3,M1} R(49892,455);r(49892) { cyclic( skol20, X, Y,
% 19.16/19.53 Z ) }.
% 19.16/19.53 (49933) {G12,W5,D2,L1,V4,M1} R(49914,455);r(49914) { cyclic( X, Y, Z, T )
% 19.16/19.53 }.
% 19.16/19.53 (54762) {G13,W5,D2,L1,V2,M1} S(1057);r(49933);r(49933) { cong( X, Y, X, Y )
% 19.16/19.53 }.
% 19.16/19.53 (54779) {G14,W5,D2,L1,V3,M1} R(54762,56);r(54762) { perp( X, X, Z, Y ) }.
% 19.16/19.53 (54816) {G15,W5,D2,L1,V4,M1} R(54779,297);r(54779) { para( X, Y, Z, T ) }.
% 19.16/19.53 (54900) {G16,W9,D2,L1,V6,M1} R(54816,802) { eqangle( X, Y, Z, T, U, W, Z, T
% 19.16/19.53 ) }.
% 19.16/19.53 (55110) {G17,W9,D2,L1,V6,M1} R(54900,531) { eqangle( X, Y, X, Y, Z, T, U, W
% 19.16/19.53 ) }.
% 19.16/19.53 (55112) {G18,W9,D2,L1,V8,M1} R(55110,794);r(54816) { eqangle( X, Y, Z, T, U
% 19.16/19.53 , W, V0, V1 ) }.
% 19.16/19.53 (55113) {G19,W0,D0,L0,V0,M0} R(55112,129) { }.
% 19.16/19.53
% 19.16/19.53
% 19.16/19.53 % SZS output end Refutation
% 19.16/19.53 found a proof!
% 19.16/19.53
% 19.16/19.53
% 19.16/19.53 Unprocessed initial clauses:
% 19.16/19.53
% 19.16/19.53 (55115) {G0,W8,D2,L2,V3,M2} { ! coll( X, Y, Z ), coll( X, Z, Y ) }.
% 19.16/19.53 (55116) {G0,W8,D2,L2,V3,M2} { ! coll( X, Y, Z ), coll( Y, X, Z ) }.
% 19.16/19.53 (55117) {G0,W12,D2,L3,V4,M3} { ! coll( X, T, Y ), ! coll( X, T, Z ), coll
% 19.16/19.53 ( Y, Z, X ) }.
% 19.16/19.53 (55118) {G0,W10,D2,L2,V4,M2} { ! para( X, Y, Z, T ), para( X, Y, T, Z )
% 19.16/19.53 }.
% 19.16/19.53 (55119) {G0,W10,D2,L2,V4,M2} { ! para( X, Y, Z, T ), para( Z, T, X, Y )
% 19.16/19.53 }.
% 19.16/19.53 (55120) {G0,W15,D2,L3,V6,M3} { ! para( X, Y, U, W ), ! para( U, W, Z, T )
% 19.16/19.53 , para( X, Y, Z, T ) }.
% 19.16/19.53 (55121) {G0,W10,D2,L2,V4,M2} { ! perp( X, Y, Z, T ), perp( X, Y, T, Z )
% 19.16/19.53 }.
% 19.16/19.53 (55122) {G0,W10,D2,L2,V4,M2} { ! perp( X, Y, Z, T ), perp( Z, T, X, Y )
% 19.16/19.53 }.
% 19.16/19.53 (55123) {G0,W15,D2,L3,V6,M3} { ! perp( X, Y, U, W ), ! perp( U, W, Z, T )
% 19.16/19.53 , para( X, Y, Z, T ) }.
% 19.16/19.53 (55124) {G0,W15,D2,L3,V6,M3} { ! para( X, Y, U, W ), ! perp( U, W, Z, T )
% 19.16/19.53 , perp( X, Y, Z, T ) }.
% 19.16/19.53 (55125) {G0,W8,D2,L2,V3,M2} { ! midp( Z, Y, X ), midp( Z, X, Y ) }.
% 19.16/19.53 (55126) {G0,W15,D2,L3,V4,M3} { ! cong( T, X, T, Y ), ! cong( T, X, T, Z )
% 19.16/19.53 , circle( T, X, Y, Z ) }.
% 19.16/19.53 (55127) {G0,W20,D2,L4,V5,M4} { ! cong( U, X, U, Y ), ! cong( U, X, U, Z )
% 19.16/19.53 , ! cong( U, X, U, T ), cyclic( X, Y, Z, T ) }.
% 19.16/19.53 (55128) {G0,W10,D2,L2,V4,M2} { ! cyclic( X, Y, Z, T ), cyclic( X, Y, T, Z
% 19.16/19.53 ) }.
% 19.16/19.53 (55129) {G0,W10,D2,L2,V4,M2} { ! cyclic( X, Y, Z, T ), cyclic( X, Z, Y, T
% 19.16/19.53 ) }.
% 19.16/19.53 (55130) {G0,W10,D2,L2,V4,M2} { ! cyclic( X, Y, Z, T ), cyclic( Y, X, Z, T
% 19.16/19.53 ) }.
% 19.16/19.53 (55131) {G0,W15,D2,L3,V5,M3} { ! cyclic( U, X, Y, Z ), ! cyclic( U, X, Y,
% 19.16/19.53 T ), cyclic( X, Y, Z, T ) }.
% 19.16/19.53 (55132) {G0,W18,D2,L2,V8,M2} { ! eqangle( X, Y, Z, T, U, W, V0, V1 ),
% 19.16/19.53 eqangle( Y, X, Z, T, U, W, V0, V1 ) }.
% 19.16/19.53 (55133) {G0,W18,D2,L2,V8,M2} { ! eqangle( X, Y, Z, T, U, W, V0, V1 ),
% 19.16/19.53 eqangle( Z, T, X, Y, V0, V1, U, W ) }.
% 19.16/19.53 (55134) {G0,W18,D2,L2,V8,M2} { ! eqangle( X, Y, Z, T, U, W, V0, V1 ),
% 19.16/19.53 eqangle( U, W, V0, V1, X, Y, Z, T ) }.
% 19.16/19.53 (55135) {G0,W18,D2,L2,V8,M2} { ! eqangle( X, Y, Z, T, U, W, V0, V1 ),
% 19.16/19.53 eqangle( X, Y, U, W, Z, T, V0, V1 ) }.
% 19.16/19.53 (55136) {G0,W27,D2,L3,V12,M3} { ! eqangle( X, Y, Z, T, V2, V3, V4, V5 ), !
% 19.16/19.53 eqangle( V2, V3, V4, V5, U, W, V0, V1 ), eqangle( X, Y, Z, T, U, W, V0,
% 19.16/19.53 V1 ) }.
% 19.16/19.53 (55137) {G0,W10,D2,L2,V4,M2} { ! cong( X, Y, Z, T ), cong( X, Y, T, Z )
% 19.16/19.53 }.
% 19.16/19.53 (55138) {G0,W10,D2,L2,V4,M2} { ! cong( X, Y, Z, T ), cong( Z, T, X, Y )
% 19.16/19.53 }.
% 19.16/19.53 (55139) {G0,W15,D2,L3,V6,M3} { ! cong( X, Y, U, W ), ! cong( U, W, Z, T )
% 19.16/19.53 , cong( X, Y, Z, T ) }.
% 19.16/19.53 (55140) {G0,W18,D2,L2,V8,M2} { ! eqratio( X, Y, Z, T, U, W, V0, V1 ),
% 19.16/19.53 eqratio( Y, X, Z, T, U, W, V0, V1 ) }.
% 19.16/19.53 (55141) {G0,W18,D2,L2,V8,M2} { ! eqratio( X, Y, Z, T, U, W, V0, V1 ),
% 19.16/19.53 eqratio( Z, T, X, Y, V0, V1, U, W ) }.
% 19.16/19.53 (55142) {G0,W18,D2,L2,V8,M2} { ! eqratio( X, Y, Z, T, U, W, V0, V1 ),
% 19.16/19.53 eqratio( U, W, V0, V1, X, Y, Z, T ) }.
% 19.16/19.53 (55143) {G0,W18,D2,L2,V8,M2} { ! eqratio( X, Y, Z, T, U, W, V0, V1 ),
% 19.16/19.53 eqratio( X, Y, U, W, Z, T, V0, V1 ) }.
% 19.16/19.53 (55144) {G0,W27,D2,L3,V12,M3} { ! eqratio( X, Y, Z, T, V2, V3, V4, V5 ), !
% 19.16/19.53 eqratio( V2, V3, V4, V5, U, W, V0, V1 ), eqratio( X, Y, Z, T, U, W, V0,
% 19.16/19.53 V1 ) }.
% 19.16/19.53 (55145) {G0,W14,D2,L2,V6,M2} { ! simtri( X, Z, Y, T, W, U ), simtri( X, Y
% 19.16/19.53 , Z, T, U, W ) }.
% 19.16/19.53 (55146) {G0,W14,D2,L2,V6,M2} { ! simtri( Y, X, Z, U, T, W ), simtri( X, Y
% 19.16/19.53 , Z, T, U, W ) }.
% 19.16/19.53 (55147) {G0,W14,D2,L2,V6,M2} { ! simtri( T, U, W, X, Y, Z ), simtri( X, Y
% 19.16/19.53 , Z, T, U, W ) }.
% 19.16/19.53 (55148) {G0,W21,D2,L3,V9,M3} { ! simtri( X, Y, Z, V0, V1, V2 ), ! simtri(
% 19.16/19.53 V0, V1, V2, T, U, W ), simtri( X, Y, Z, T, U, W ) }.
% 19.16/19.53 (55149) {G0,W14,D2,L2,V6,M2} { ! contri( X, Z, Y, T, W, U ), contri( X, Y
% 19.16/19.53 , Z, T, U, W ) }.
% 19.16/19.53 (55150) {G0,W14,D2,L2,V6,M2} { ! contri( Y, X, Z, U, T, W ), contri( X, Y
% 19.16/19.53 , Z, T, U, W ) }.
% 19.16/19.53 (55151) {G0,W14,D2,L2,V6,M2} { ! contri( T, U, W, X, Y, Z ), contri( X, Y
% 19.16/19.53 , Z, T, U, W ) }.
% 19.16/19.53 (55152) {G0,W21,D2,L3,V9,M3} { ! contri( X, Y, Z, V0, V1, V2 ), ! contri(
% 19.16/19.53 V0, V1, V2, T, U, W ), contri( X, Y, Z, T, U, W ) }.
% 19.16/19.53 (55153) {G0,W14,D2,L2,V6,M2} { ! eqangle( X, Y, U, W, Z, T, U, W ), para(
% 19.16/19.53 X, Y, Z, T ) }.
% 19.16/19.53 (55154) {G0,W14,D2,L2,V6,M2} { ! para( X, Y, Z, T ), eqangle( X, Y, U, W,
% 19.16/19.53 Z, T, U, W ) }.
% 19.16/19.53 (55155) {G0,W14,D2,L2,V4,M2} { ! cyclic( X, Y, Z, T ), eqangle( Z, X, Z, Y
% 19.16/19.53 , T, X, T, Y ) }.
% 19.16/19.53 (55156) {G0,W18,D2,L3,V4,M3} { ! eqangle( Z, X, Z, Y, T, X, T, Y ), coll(
% 19.16/19.53 Z, T, X ), cyclic( X, Y, Z, T ) }.
% 19.16/19.53 (55157) {G0,W18,D2,L3,V4,M3} { ! eqangle( Z, X, Z, Y, T, X, T, Y ), ! coll
% 19.16/19.53 ( Z, T, Y ), cyclic( X, Y, Z, T ) }.
% 19.16/19.53 (55158) {G0,W29,D2,L5,V6,M5} { ! cyclic( X, Y, U, Z ), ! cyclic( X, Y, U,
% 19.16/19.53 T ), ! cyclic( X, Y, U, W ), ! eqangle( U, X, U, Y, W, Z, W, T ), cong( X
% 19.16/19.53 , Y, Z, T ) }.
% 19.16/19.53 (55159) {G0,W13,D2,L3,V5,M3} { ! midp( Z, U, X ), ! midp( T, U, Y ), para
% 19.16/19.53 ( Z, T, X, Y ) }.
% 19.16/19.53 (55160) {G0,W17,D2,L4,V5,M4} { ! midp( U, X, T ), ! para( U, Z, T, Y ), !
% 19.16/19.53 coll( Z, X, Y ), midp( Z, X, Y ) }.
% 19.16/19.53 (55161) {G0,W14,D2,L2,V3,M2} { ! cong( Z, X, Z, Y ), eqangle( Z, X, X, Y,
% 19.16/19.53 X, Y, Z, Y ) }.
% 19.16/19.53 (55162) {G0,W18,D2,L3,V3,M3} { ! eqangle( Z, X, X, Y, X, Y, Z, Y ), coll(
% 19.16/19.53 Z, X, Y ), cong( Z, X, Z, Y ) }.
% 19.16/19.53 (55163) {G0,W19,D2,L3,V5,M3} { ! circle( U, X, Y, Z ), ! perp( U, X, X, T
% 19.16/19.53 ), eqangle( X, T, X, Y, Z, X, Z, Y ) }.
% 19.16/19.53 (55164) {G0,W19,D2,L3,V5,M3} { ! circle( Y, X, T, U ), ! eqangle( X, Z, X
% 19.16/19.53 , T, U, X, U, T ), perp( Y, X, X, Z ) }.
% 19.16/19.53 (55165) {G0,W18,D2,L3,V5,M3} { ! circle( T, X, Y, Z ), ! midp( U, Y, Z ),
% 19.16/19.53 eqangle( X, Y, X, Z, T, Y, T, U ) }.
% 19.16/19.53 (55166) {G0,W22,D2,L4,V5,M4} { ! circle( U, T, X, Y ), ! coll( Z, X, Y ),
% 19.16/19.53 ! eqangle( T, X, T, Y, U, X, U, Z ), midp( Z, X, Y ) }.
% 19.16/19.53 (55167) {G0,W14,D2,L3,V4,M3} { ! perp( X, Y, Y, T ), ! midp( Z, X, T ),
% 19.16/19.53 cong( X, Z, Y, Z ) }.
% 19.16/19.53 (55168) {G0,W14,D2,L3,V4,M3} { ! circle( T, X, Y, Z ), ! coll( T, X, Z ),
% 19.16/19.53 perp( X, Y, Y, Z ) }.
% 19.16/19.53 (55169) {G0,W19,D2,L3,V4,M3} { ! cyclic( X, Y, Z, T ), ! para( X, Y, Z, T
% 19.16/19.53 ), eqangle( X, T, Z, T, Z, T, Z, Y ) }.
% 19.16/19.53 (55170) {G0,W14,D2,L3,V4,M3} { ! midp( T, X, Y ), ! perp( Z, T, X, Y ),
% 19.16/19.53 cong( Z, X, Z, Y ) }.
% 19.16/19.53 (55171) {G0,W15,D2,L3,V4,M3} { ! cong( X, Z, Y, Z ), ! cong( X, T, Y, T )
% 19.16/19.53 , perp( X, Y, Z, T ) }.
% 19.16/19.53 (55172) {G0,W20,D2,L4,V4,M4} { ! cong( X, Y, T, Y ), ! cong( X, Z, T, Z )
% 19.16/19.53 , ! cyclic( X, T, Y, Z ), perp( Y, X, X, Z ) }.
% 19.16/19.53 (55173) {G0,W29,D2,L4,V6,M4} { ! eqangle( X, Y, Y, Z, T, U, U, W ), !
% 19.16/19.53 eqangle( X, Z, Y, Z, T, W, U, W ), coll( X, Y, Z ), simtri( X, Y, Z, T, U
% 19.16/19.53 , W ) }.
% 19.16/19.53 (55174) {G0,W16,D2,L2,V6,M2} { ! simtri( X, Y, Z, T, U, W ), eqratio( X, Y
% 19.16/19.53 , X, Z, T, U, T, W ) }.
% 19.16/19.53 (55175) {G0,W16,D2,L2,V6,M2} { ! simtri( X, Y, Z, T, U, W ), eqangle( X, Y
% 19.16/19.53 , Y, Z, T, U, U, W ) }.
% 19.16/19.53 (55176) {G0,W19,D2,L3,V6,M3} { ! simtri( X, Y, Z, T, U, W ), ! cong( X, Y
% 19.16/19.53 , T, U ), contri( X, Y, Z, T, U, W ) }.
% 19.16/19.53 (55177) {G0,W12,D2,L2,V6,M2} { ! contri( X, Y, U, Z, T, W ), cong( X, Y, Z
% 19.16/19.53 , T ) }.
% 19.16/19.53 (55178) {G0,W13,D2,L3,V5,M3} { ! midp( U, X, Y ), ! midp( U, Z, T ), para
% 19.16/19.53 ( X, Z, Y, T ) }.
% 19.16/19.53 (55179) {G0,W18,D2,L4,V5,M4} { ! midp( Z, T, U ), ! para( T, X, U, Y ), !
% 19.16/19.53 para( T, Y, U, X ), midp( Z, X, Y ) }.
% 19.16/19.53 (55180) {G0,W22,D2,L4,V5,M4} { ! para( X, Y, Z, T ), ! coll( U, X, Z ), !
% 19.16/19.53 coll( U, Y, T ), eqratio( U, X, X, Z, U, Y, Y, T ) }.
% 19.16/19.53 (55181) {G0,W9,D2,L2,V3,M2} { ! para( X, Y, X, Z ), coll( X, Y, Z ) }.
% 19.16/19.53 (55182) {G0,W13,D2,L3,V3,M3} { ! cong( X, Y, X, Z ), ! coll( X, Y, Z ),
% 19.16/19.53 midp( X, Y, Z ) }.
% 19.16/19.53 (55183) {G0,W9,D2,L2,V3,M2} { ! midp( X, Y, Z ), cong( X, Y, X, Z ) }.
% 19.16/19.53 (55184) {G0,W8,D2,L2,V3,M2} { ! midp( X, Y, Z ), coll( X, Y, Z ) }.
% 19.16/19.53 (55185) {G0,W17,D2,L3,V6,M3} { ! midp( U, X, Y ), ! midp( W, Z, T ),
% 19.16/19.53 eqratio( U, X, X, Y, W, Z, Z, T ) }.
% 19.16/19.53 (55186) {G0,W19,D2,L3,V4,M3} { ! eqangle( X, Y, Z, T, Z, T, X, Y ), para(
% 19.16/19.53 X, Y, Z, T ), perp( X, Y, Z, T ) }.
% 19.16/19.53 (55187) {G0,W19,D2,L3,V4,M3} { ! eqangle( X, Y, Z, T, Z, T, X, Y ), perp(
% 19.16/19.53 X, Y, Z, T ), para( X, Y, Z, T ) }.
% 19.16/19.53 (55188) {G0,W19,D2,L3,V8,M3} { ! eqangle( X, Y, Z, T, U, W, V0, V1 ), !
% 19.16/19.53 para( U, W, V0, V1 ), para( X, Y, Z, T ) }.
% 19.16/19.53 (55189) {G0,W19,D2,L3,V8,M3} { ! eqangle( X, Y, Z, T, U, W, V0, V1 ), !
% 19.16/19.53 perp( U, W, V0, V1 ), perp( X, Y, Z, T ) }.
% 19.16/19.53 (55190) {G0,W19,D2,L3,V8,M3} { ! eqratio( X, Y, Z, T, U, W, V0, V1 ), !
% 19.16/19.53 cong( U, W, V0, V1 ), cong( X, Y, Z, T ) }.
% 19.16/19.53 (55191) {G0,W22,D3,L3,V6,M3} { ! perp( Z, Y, Y, X ), ! eqangle( T, Z, Y, Z
% 19.16/19.53 , Y, Z, X, Z ), coll( skol1( U, W, Z, T ), Z, T ) }.
% 19.16/19.53 (55192) {G0,W22,D3,L3,V4,M3} { ! perp( Z, Y, Y, X ), ! eqangle( T, Z, Y, Z
% 19.16/19.53 , Y, Z, X, Z ), coll( skol1( X, Y, Z, T ), X, Y ) }.
% 19.16/19.53 (55193) {G0,W22,D3,L3,V6,M3} { ! cong( Z, X, Z, Y ), ! eqangle( X, Z, Z, T
% 19.16/19.53 , Z, T, Z, Y ), coll( skol2( U, W, Z, T ), Z, T ) }.
% 19.16/19.53 (55194) {G0,W22,D3,L3,V4,M3} { ! cong( Z, X, Z, Y ), ! eqangle( X, Z, Z, T
% 19.16/19.53 , Z, T, Z, Y ), coll( Y, X, skol2( X, Y, Z, T ) ) }.
% 19.16/19.53 (55195) {G0,W22,D3,L3,V6,M3} { ! perp( Z, T, X, Y ), ! eqangle( X, Z, Z, T
% 19.16/19.53 , Z, T, Z, Y ), coll( skol3( U, W, Z, T ), Z, T ) }.
% 19.16/19.53 (55196) {G0,W22,D3,L3,V4,M3} { ! perp( Z, T, X, Y ), ! eqangle( X, Z, Z, T
% 19.16/19.53 , Z, T, Z, Y ), coll( Y, X, skol3( X, Y, Z, T ) ) }.
% 19.16/19.53 (55197) {G0,W18,D3,L3,V6,M3} { ! perp( Z, T, X, Y ), ! cong( Z, X, Z, Y )
% 19.16/19.53 , coll( skol4( U, W, Z, T ), Z, T ) }.
% 19.16/19.53 (55198) {G0,W18,D3,L3,V4,M3} { ! perp( Z, T, X, Y ), ! cong( Z, X, Z, Y )
% 19.16/19.53 , coll( Y, X, skol4( X, Y, Z, T ) ) }.
% 19.16/19.53 (55199) {G0,W22,D3,L3,V6,M3} { ! eqangle( X, Z, Y, Z, X, T, Y, U ), coll(
% 19.16/19.53 X, Y, Z ), cyclic( T, Y, Z, skol5( W, Y, Z, T ) ) }.
% 19.16/19.53 (55200) {G0,W30,D3,L3,V5,M3} { ! eqangle( X, Z, Y, Z, X, T, Y, U ), coll(
% 19.16/19.53 X, Y, Z ), eqangle( X, Z, Y, Z, X, skol5( X, Y, Z, T ), Y, skol5( X, Y, Z
% 19.16/19.53 , T ) ) }.
% 19.16/19.53 (55201) {G0,W18,D3,L3,V10,M3} { ! midp( U, X, Y ), ! midp( W, Z, T ), midp
% 19.16/19.53 ( skol6( X, V0, V1, T, V2, V3 ), X, T ) }.
% 19.16/19.53 (55202) {G0,W19,D3,L3,V8,M3} { ! midp( U, X, Y ), ! midp( W, Z, T ), para
% 19.16/19.53 ( skol6( X, V0, Z, T, V1, W ), W, X, Z ) }.
% 19.16/19.53 (55203) {G0,W19,D3,L3,V6,M3} { ! midp( U, X, Y ), ! midp( W, Z, T ), para
% 19.16/19.53 ( skol6( X, Y, Z, T, U, W ), U, Y, T ) }.
% 19.16/19.53 (55204) {G0,W22,D3,L5,V7,M5} { ! midp( Z, X, Y ), ! midp( W, T, U ), !
% 19.16/19.53 coll( T, X, Y ), ! coll( U, X, Y ), midp( skol7( X, V0 ), X, V0 ) }.
% 19.16/19.53 (55205) {G0,W26,D3,L5,V8,M5} { ! midp( T, X, U ), ! para( X, W, Z, T ), !
% 19.16/19.53 para( X, W, U, Y ), ! coll( W, Y, Z ), coll( skol8( V0, V1, Z, T ), T, Z
% 19.16/19.53 ) }.
% 19.16/19.53 (55206) {G0,W26,D3,L5,V6,M5} { ! midp( T, X, U ), ! para( X, W, Z, T ), !
% 19.16/19.53 para( X, W, U, Y ), ! coll( W, Y, Z ), coll( skol8( X, Y, Z, T ), X, Y )
% 19.16/19.53 }.
% 19.16/19.53 (55207) {G0,W19,D3,L3,V7,M3} { ! cong( T, Z, T, U ), ! perp( X, Y, Y, T )
% 19.16/19.53 , cong( T, Z, T, skol9( W, V0, Z, T ) ) }.
% 19.16/19.53 (55208) {G0,W19,D3,L3,V6,M3} { ! cong( T, Z, T, U ), ! perp( X, Y, Y, T )
% 19.16/19.53 , cong( Y, Z, Y, skol9( W, Y, Z, T ) ) }.
% 19.16/19.53 (55209) {G0,W19,D3,L3,V5,M3} { ! cong( T, Z, T, U ), ! perp( X, Y, Y, T )
% 19.16/19.53 , para( skol9( X, Y, Z, T ), Z, X, Y ) }.
% 19.16/19.53 (55210) {G0,W17,D3,L3,V5,M3} { ! perp( X, T, Y, Z ), ! perp( Y, T, X, Z )
% 19.16/19.53 , coll( skol10( U, Y, Z ), Z, Y ) }.
% 19.16/19.53 (55211) {G0,W18,D3,L3,V4,M3} { ! perp( X, T, Y, Z ), ! perp( Y, T, X, Z )
% 19.16/19.53 , perp( X, skol10( X, Y, Z ), Z, Y ) }.
% 19.16/19.53 (55212) {G0,W14,D2,L3,V4,M3} { ! perp( X, T, Y, Z ), ! perp( Y, T, X, Z )
% 19.16/19.53 , alpha1( X, Y, Z ) }.
% 19.16/19.53 (55213) {G0,W11,D3,L2,V4,M2} { ! alpha1( X, Y, Z ), coll( skol11( X, T, Z
% 19.16/19.53 ), Z, X ) }.
% 19.16/19.53 (55214) {G0,W12,D3,L2,V3,M2} { ! alpha1( X, Y, Z ), perp( Y, skol11( X, Y
% 19.16/19.53 , Z ), Z, X ) }.
% 19.16/19.53 (55215) {G0,W13,D2,L3,V4,M3} { ! coll( T, Z, X ), ! perp( Y, T, Z, X ),
% 19.16/19.53 alpha1( X, Y, Z ) }.
% 19.16/19.53 (55216) {G0,W12,D3,L2,V4,M2} { ! circle( Y, X, Z, T ), perp( skol12( X, Y
% 19.16/19.53 ), X, X, Y ) }.
% 19.16/19.53 (55217) {G0,W28,D3,L5,V8,M5} { ! circle( W, X, Y, Z ), ! cong( W, X, W, T
% 19.16/19.53 ), ! cong( U, X, U, Y ), W = U, alpha2( X, Z, U, skol13( X, V0, Z, V1, U
% 19.16/19.53 ) ) }.
% 19.16/19.53 (55218) {G0,W26,D3,L5,V8,M5} { ! circle( W, X, Y, Z ), ! cong( W, X, W, T
% 19.16/19.53 ), ! cong( U, X, U, Y ), W = U, coll( skol21( V0, Y, T, V1 ), Y, T ) }.
% 19.16/19.53 (55219) {G0,W27,D3,L5,V6,M5} { ! circle( W, X, Y, Z ), ! cong( W, X, W, T
% 19.16/19.53 ), ! cong( U, X, U, Y ), W = U, cong( skol21( X, Y, T, U ), U, U, X )
% 19.16/19.53 }.
% 19.16/19.53 (55220) {G0,W9,D2,L2,V4,M2} { ! alpha2( X, Y, Z, T ), coll( T, X, Y ) }.
% 19.16/19.53 (55221) {G0,W10,D2,L2,V4,M2} { ! alpha2( X, Y, Z, T ), cong( T, Z, Z, X )
% 19.16/19.53 }.
% 19.16/19.53 (55222) {G0,W14,D2,L3,V4,M3} { ! coll( T, X, Y ), ! cong( T, Z, Z, X ),
% 19.16/19.53 alpha2( X, Y, Z, T ) }.
% 19.16/19.53 (55223) {G0,W22,D3,L4,V5,M4} { ! cyclic( X, Y, Z, T ), ! para( X, Y, Z, T
% 19.16/19.53 ), ! midp( U, X, Y ), circle( skol14( X, Y, Z ), X, Y, Z ) }.
% 19.16/19.53 (55224) {G0,W18,D3,L3,V4,M3} { ! perp( X, Z, Z, Y ), ! cyclic( X, Y, Z, T
% 19.16/19.53 ), circle( skol15( X, Y, Z ), X, Y, Z ) }.
% 19.16/19.53 (55225) {G0,W16,D3,L3,V6,M3} { ! perp( X, U, U, T ), ! coll( T, Y, Z ),
% 19.16/19.53 coll( skol16( W, Y, Z ), Y, Z ) }.
% 19.16/19.53 (55226) {G0,W17,D3,L3,V5,M3} { ! perp( X, U, U, T ), ! coll( T, Y, Z ),
% 19.16/19.53 perp( skol16( X, Y, Z ), X, Y, Z ) }.
% 19.16/19.53 (55227) {G0,W20,D3,L4,V5,M4} { ! perp( X, Z, X, Y ), ! perp( Y, X, Y, T )
% 19.16/19.53 , ! midp( U, Z, T ), midp( skol17( X, Y ), X, Y ) }.
% 19.16/19.53 (55228) {G0,W16,D3,L3,V3,M3} { ! cong( Y, X, Y, Z ), ! perp( X, Y, Y, Z )
% 19.16/19.53 , coll( X, Y, skol18( X, Y ) ) }.
% 19.16/19.53 (55229) {G0,W17,D3,L3,V3,M3} { ! cong( Y, X, Y, Z ), ! perp( X, Y, Y, Z )
% 19.16/19.53 , cong( Y, X, Y, skol18( X, Y ) ) }.
% 19.16/19.53 (55230) {G0,W25,D3,L5,V8,M5} { ! para( U, W, X, Y ), ! coll( Z, U, X ), !
% 19.16/19.53 coll( Z, W, Y ), ! coll( T, U, W ), coll( Z, T, skol19( V0, V1, Z, T ) )
% 19.16/19.53 }.
% 19.16/19.53 (55231) {G0,W25,D3,L5,V6,M5} { ! para( U, W, X, Y ), ! coll( Z, U, X ), !
% 19.16/19.53 coll( Z, W, Y ), ! coll( T, U, W ), coll( skol19( X, Y, Z, T ), X, Y )
% 19.16/19.53 }.
% 19.16/19.53 (55232) {G0,W5,D2,L1,V0,M1} { circle( skol29, skol20, skol27, skol28 ) }.
% 19.16/19.53 (55233) {G0,W5,D2,L1,V0,M1} { circle( skol29, skol20, skol22, skol30 ) }.
% 19.16/19.53 (55234) {G0,W5,D2,L1,V0,M1} { perp( skol31, skol22, skol20, skol27 ) }.
% 19.16/19.53 (55235) {G0,W4,D2,L1,V0,M1} { coll( skol31, skol20, skol27 ) }.
% 19.16/19.53 (55236) {G0,W5,D2,L1,V0,M1} { perp( skol23, skol22, skol20, skol28 ) }.
% 19.16/19.53 (55237) {G0,W4,D2,L1,V0,M1} { coll( skol23, skol20, skol28 ) }.
% 19.16/19.53 (55238) {G0,W5,D2,L1,V0,M1} { circle( skol29, skol20, skol24, skol32 ) }.
% 19.16/19.53 (55239) {G0,W5,D2,L1,V0,M1} { perp( skol33, skol24, skol20, skol27 ) }.
% 19.16/19.53 (55240) {G0,W4,D2,L1,V0,M1} { coll( skol33, skol20, skol27 ) }.
% 19.16/19.53 (55241) {G0,W5,D2,L1,V0,M1} { perp( skol25, skol24, skol20, skol28 ) }.
% 19.16/19.53 (55242) {G0,W4,D2,L1,V0,M1} { coll( skol25, skol20, skol28 ) }.
% 19.16/19.53 (55243) {G0,W4,D2,L1,V0,M1} { coll( skol26, skol33, skol25 ) }.
% 19.16/19.53 (55244) {G0,W4,D2,L1,V0,M1} { coll( skol26, skol31, skol23 ) }.
% 19.16/19.53 (55245) {G0,W9,D2,L1,V0,M1} { ! eqangle( skol22, skol20, skol20, skol24,
% 19.16/19.53 skol25, skol26, skol26, skol23 ) }.
% 19.16/19.53
% 19.16/19.53
% 19.16/19.53 Total Proof:
% 19.16/19.53
% 19.16/19.53 subsumption: (0) {G0,W8,D2,L2,V3,M2} I { ! coll( X, Y, Z ), coll( X, Z, Y )
% 19.16/19.53 }.
% 19.16/19.53 parent0: (55115) {G0,W8,D2,L2,V3,M2} { ! coll( X, Y, Z ), coll( X, Z, Y )
% 19.16/19.53 }.
% 19.16/19.53 substitution0:
% 19.16/19.53 X := X
% 19.16/19.53 Y := Y
% 19.16/19.53 Z := Z
% 19.16/19.53 end
% 19.16/19.53 permutation0:
% 19.16/19.53 0 ==> 0
% 19.16/19.53 1 ==> 1
% 19.16/19.53 end
% 19.16/19.53
% 19.16/19.53 subsumption: (1) {G0,W8,D2,L2,V3,M2} I { ! coll( X, Y, Z ), coll( Y, X, Z )
% 19.16/19.53 }.
% 19.16/19.53 parent0: (55116) {G0,W8,D2,L2,V3,M2} { ! coll( X, Y, Z ), coll( Y, X, Z )
% 19.16/19.53 }.
% 19.16/19.53 substitution0:
% 19.16/19.53 X := X
% 19.16/19.53 Y := Y
% 19.16/19.53 Z := Z
% 19.16/19.53 end
% 19.16/19.53 permutation0:
% 19.16/19.53 0 ==> 0
% 19.16/19.53 1 ==> 1
% 19.16/19.53 end
% 19.16/19.53
% 19.16/19.53 subsumption: (2) {G0,W12,D2,L3,V4,M3} I { ! coll( X, T, Y ), ! coll( X, T,
% 19.16/19.53 Z ), coll( Y, Z, X ) }.
% 19.16/19.53 parent0: (55117) {G0,W12,D2,L3,V4,M3} { ! coll( X, T, Y ), ! coll( X, T, Z
% 19.16/19.53 ), coll( Y, Z, X ) }.
% 19.16/19.53 substitution0:
% 19.16/19.53 X := X
% 19.16/19.53 Y := Y
% 19.16/19.53 Z := Z
% 19.16/19.53 T := T
% 19.16/19.53 end
% 19.16/19.53 permutation0:
% 19.16/19.53 0 ==> 0
% 19.16/19.53 1 ==> 1
% 19.16/19.53 2 ==> 2
% 19.16/19.53 end
% 19.16/19.53
% 19.16/19.53 subsumption: (3) {G0,W10,D2,L2,V4,M2} I { ! para( X, Y, Z, T ), para( X, Y
% 19.16/19.53 , T, Z ) }.
% 19.16/19.53 parent0: (55118) {G0,W10,D2,L2,V4,M2} { ! para( X, Y, Z, T ), para( X, Y,
% 19.16/19.53 T, Z ) }.
% 19.16/19.53 substitution0:
% 19.16/19.53 X := X
% 19.16/19.53 Y := Y
% 19.16/19.53 Z := Z
% 19.16/19.53 T := T
% 19.16/19.53 end
% 19.16/19.53 permutation0:
% 19.16/19.53 0 ==> 0
% 19.16/19.53 1 ==> 1
% 19.16/19.53 end
% 19.16/19.53
% 19.16/19.53 subsumption: (7) {G0,W10,D2,L2,V4,M2} I { ! perp( X, Y, Z, T ), perp( Z, T
% 19.16/19.53 , X, Y ) }.
% 19.16/19.53 parent0: (55122) {G0,W10,D2,L2,V4,M2} { ! perp( X, Y, Z, T ), perp( Z, T,
% 19.16/19.53 X, Y ) }.
% 19.16/19.53 substitution0:
% 19.16/19.53 X := X
% 19.16/19.53 Y := Y
% 19.16/19.53 Z := Z
% 19.16/19.53 T := T
% 19.16/19.53 end
% 19.16/19.53 permutation0:
% 19.16/19.53 0 ==> 0
% 19.16/19.53 1 ==> 1
% 19.16/19.53 end
% 19.16/19.53
% 19.16/19.53 subsumption: (8) {G0,W15,D2,L3,V6,M3} I { ! perp( X, Y, U, W ), ! perp( U,
% 19.16/19.53 W, Z, T ), para( X, Y, Z, T ) }.
% 19.16/19.53 parent0: (55123) {G0,W15,D2,L3,V6,M3} { ! perp( X, Y, U, W ), ! perp( U, W
% 19.16/19.53 , Z, T ), para( X, Y, Z, T ) }.
% 19.16/19.53 substitution0:
% 19.16/19.53 X := X
% 19.16/19.53 Y := Y
% 19.16/19.53 Z := Z
% 19.16/19.53 T := T
% 19.16/19.53 U := U
% 19.16/19.53 W := W
% 19.16/19.53 end
% 19.16/19.53 permutation0:
% 19.16/19.53 0 ==> 0
% 19.16/19.53 1 ==> 1
% 19.16/19.53 2 ==> 2
% 19.16/19.53 end
% 19.16/19.53
% 19.16/19.53 subsumption: (13) {G0,W10,D2,L2,V4,M2} I { ! cyclic( X, Y, Z, T ), cyclic(
% 19.16/19.53 X, Y, T, Z ) }.
% 19.16/19.53 parent0: (55128) {G0,W10,D2,L2,V4,M2} { ! cyclic( X, Y, Z, T ), cyclic( X
% 19.16/19.53 , Y, T, Z ) }.
% 19.16/19.53 substitution0:
% 19.16/19.53 X := X
% 19.16/19.53 Y := Y
% 19.16/19.53 Z := Z
% 19.16/19.53 T := T
% 19.16/19.53 end
% 19.16/19.53 permutation0:
% 19.16/19.53 0 ==> 0
% 19.16/19.53 1 ==> 1
% 19.16/19.53 end
% 19.16/19.53
% 19.16/19.53 subsumption: (14) {G0,W10,D2,L2,V4,M2} I { ! cyclic( X, Y, Z, T ), cyclic(
% 19.16/19.53 X, Z, Y, T ) }.
% 19.16/19.53 parent0: (55129) {G0,W10,D2,L2,V4,M2} { ! cyclic( X, Y, Z, T ), cyclic( X
% 19.16/19.53 , Z, Y, T ) }.
% 19.16/19.53 substitution0:
% 19.16/19.53 X := X
% 19.16/19.53 Y := Y
% 19.16/19.53 Z := Z
% 19.16/19.53 T := T
% 19.16/19.53 end
% 19.16/19.53 permutation0:
% 19.16/19.53 0 ==> 0
% 19.16/19.53 1 ==> 1
% 19.16/19.53 end
% 19.16/19.53
% 19.16/19.53 subsumption: (15) {G0,W10,D2,L2,V4,M2} I { ! cyclic( X, Y, Z, T ), cyclic(
% 19.16/19.53 Y, X, Z, T ) }.
% 19.16/19.53 parent0: (55130) {G0,W10,D2,L2,V4,M2} { ! cyclic( X, Y, Z, T ), cyclic( Y
% 19.16/19.53 , X, Z, T ) }.
% 19.16/19.53 substitution0:
% 19.16/19.53 X := X
% 19.16/19.53 Y := Y
% 19.16/19.53 Z := Z
% 19.16/19.53 T := T
% 19.16/19.53 end
% 19.16/19.53 permutation0:
% 19.16/19.53 0 ==> 0
% 19.16/19.53 1 ==> 1
% 19.16/19.53 end
% 19.16/19.53
% 19.16/19.53 subsumption: (16) {G0,W15,D2,L3,V5,M3} I { ! cyclic( U, X, Y, Z ), ! cyclic
% 19.16/19.53 ( U, X, Y, T ), cyclic( X, Y, Z, T ) }.
% 19.16/19.53 parent0: (55131) {G0,W15,D2,L3,V5,M3} { ! cyclic( U, X, Y, Z ), ! cyclic(
% 19.16/19.53 U, X, Y, T ), cyclic( X, Y, Z, T ) }.
% 19.16/19.53 substitution0:
% 19.16/19.53 X := X
% 19.16/19.53 Y := Y
% 19.16/19.53 Z := Z
% 19.16/19.53 T := T
% 19.16/19.53 U := U
% 19.16/19.53 end
% 19.16/19.53 permutation0:
% 19.16/19.53 0 ==> 0
% 19.16/19.53 1 ==> 1
% 19.16/19.53 2 ==> 2
% 19.16/19.53 end
% 19.16/19.53
% 19.16/19.53 subsumption: (18) {G0,W18,D2,L2,V8,M2} I { ! eqangle( X, Y, Z, T, U, W, V0
% 19.16/19.53 , V1 ), eqangle( Z, T, X, Y, V0, V1, U, W ) }.
% 19.16/19.53 parent0: (55133) {G0,W18,D2,L2,V8,M2} { ! eqangle( X, Y, Z, T, U, W, V0,
% 19.16/19.53 V1 ), eqangle( Z, T, X, Y, V0, V1, U, W ) }.
% 19.16/19.53 substitution0:
% 19.16/19.53 X := X
% 19.16/19.53 Y := Y
% 19.16/19.53 Z := Z
% 19.16/19.53 T := T
% 19.16/19.53 U := U
% 19.16/19.53 W := W
% 19.16/19.53 V0 := V0
% 19.16/19.53 V1 := V1
% 19.16/19.53 end
% 19.16/19.53 permutation0:
% 19.16/19.53 0 ==> 0
% 19.16/19.53 1 ==> 1
% 19.16/19.53 end
% 19.16/19.53
% 19.16/19.53 subsumption: (19) {G0,W18,D2,L2,V8,M2} I { ! eqangle( X, Y, Z, T, U, W, V0
% 19.16/19.53 , V1 ), eqangle( U, W, V0, V1, X, Y, Z, T ) }.
% 19.16/19.53 parent0: (55134) {G0,W18,D2,L2,V8,M2} { ! eqangle( X, Y, Z, T, U, W, V0,
% 19.16/19.53 V1 ), eqangle( U, W, V0, V1, X, Y, Z, T ) }.
% 19.16/19.53 substitution0:
% 19.16/19.53 X := X
% 19.16/19.53 Y := Y
% 19.16/19.53 Z := Z
% 19.16/19.53 T := T
% 19.16/19.53 U := U
% 19.16/19.53 W := W
% 19.16/19.53 V0 := V0
% 19.16/19.53 V1 := V1
% 19.16/19.53 end
% 19.16/19.53 permutation0:
% 19.16/19.53 0 ==> 0
% 19.16/19.53 1 ==> 1
% 19.16/19.53 end
% 19.16/19.53
% 19.16/19.53 subsumption: (20) {G0,W18,D2,L2,V8,M2} I { ! eqangle( X, Y, Z, T, U, W, V0
% 19.16/19.53 , V1 ), eqangle( X, Y, U, W, Z, T, V0, V1 ) }.
% 19.16/19.53 parent0: (55135) {G0,W18,D2,L2,V8,M2} { ! eqangle( X, Y, Z, T, U, W, V0,
% 19.16/19.53 V1 ), eqangle( X, Y, U, W, Z, T, V0, V1 ) }.
% 19.16/19.53 substitution0:
% 19.16/19.53 X := X
% 19.16/19.53 Y := Y
% 19.16/19.53 Z := Z
% 19.16/19.53 T := T
% 19.16/19.53 U := U
% 19.16/19.53 W := W
% 19.16/19.53 V0 := V0
% 19.16/19.53 V1 := V1
% 19.16/19.53 end
% 19.16/19.53 permutation0:
% 19.16/19.53 0 ==> 0
% 19.16/19.53 1 ==> 1
% 19.16/19.53 end
% 19.16/19.53
% 19.16/19.53 subsumption: (21) {G0,W27,D2,L3,V12,M3} I { ! eqangle( X, Y, Z, T, V2, V3,
% 19.16/19.53 V4, V5 ), ! eqangle( V2, V3, V4, V5, U, W, V0, V1 ), eqangle( X, Y, Z, T
% 19.16/19.53 , U, W, V0, V1 ) }.
% 19.16/19.53 parent0: (55136) {G0,W27,D2,L3,V12,M3} { ! eqangle( X, Y, Z, T, V2, V3, V4
% 19.16/19.53 , V5 ), ! eqangle( V2, V3, V4, V5, U, W, V0, V1 ), eqangle( X, Y, Z, T, U
% 19.16/19.53 , W, V0, V1 ) }.
% 19.16/19.53 substitution0:
% 19.16/19.53 X := X
% 19.16/19.53 Y := Y
% 19.16/19.53 Z := Z
% 19.16/19.53 T := T
% 19.16/19.53 U := U
% 19.16/19.53 W := W
% 19.16/19.53 V0 := V0
% 19.16/19.53 V1 := V1
% 19.16/19.53 V2 := V2
% 19.16/19.53 V3 := V3
% 19.16/19.53 V4 := V4
% 19.16/19.53 V5 := V5
% 19.16/19.53 end
% 19.16/19.53 permutation0:
% 19.16/19.53 0 ==> 0
% 19.16/19.53 1 ==> 1
% 19.16/19.53 2 ==> 2
% 19.16/19.53 end
% 19.16/19.53
% 19.16/19.53 subsumption: (39) {G0,W14,D2,L2,V6,M2} I { ! para( X, Y, Z, T ), eqangle( X
% 19.16/19.53 , Y, U, W, Z, T, U, W ) }.
% 19.16/19.53 parent0: (55154) {G0,W14,D2,L2,V6,M2} { ! para( X, Y, Z, T ), eqangle( X,
% 19.16/19.53 Y, U, W, Z, T, U, W ) }.
% 19.16/19.53 substitution0:
% 19.16/19.53 X := X
% 19.16/19.53 Y := Y
% 19.16/19.53 Z := Z
% 19.16/19.53 T := T
% 19.16/19.53 U := U
% 19.16/19.53 W := W
% 19.16/19.53 end
% 19.16/19.53 permutation0:
% 19.16/19.53 0 ==> 0
% 19.16/19.53 1 ==> 1
% 19.16/19.53 end
% 19.16/19.53
% 19.16/19.53 subsumption: (40) {G0,W14,D2,L2,V4,M2} I { ! cyclic( X, Y, Z, T ), eqangle
% 19.16/19.53 ( Z, X, Z, Y, T, X, T, Y ) }.
% 19.16/19.53 parent0: (55155) {G0,W14,D2,L2,V4,M2} { ! cyclic( X, Y, Z, T ), eqangle( Z
% 19.16/19.53 , X, Z, Y, T, X, T, Y ) }.
% 19.16/19.53 substitution0:
% 19.16/19.53 X := X
% 19.16/19.53 Y := Y
% 19.16/19.53 Z := Z
% 19.16/19.53 T := T
% 19.16/19.53 end
% 19.16/19.53 permutation0:
% 19.16/19.53 0 ==> 0
% 19.16/19.53 1 ==> 1
% 19.16/19.53 end
% 19.16/19.53
% 19.16/19.53 subsumption: (42) {G0,W18,D2,L3,V4,M3} I { ! eqangle( Z, X, Z, Y, T, X, T,
% 19.16/19.53 Y ), ! coll( Z, T, Y ), cyclic( X, Y, Z, T ) }.
% 19.16/19.53 parent0: (55157) {G0,W18,D2,L3,V4,M3} { ! eqangle( Z, X, Z, Y, T, X, T, Y
% 19.16/19.53 ), ! coll( Z, T, Y ), cyclic( X, Y, Z, T ) }.
% 19.16/19.53 substitution0:
% 19.16/19.53 X := X
% 19.16/19.53 Y := Y
% 19.16/19.53 Z := Z
% 19.16/19.53 T := T
% 19.16/19.53 end
% 19.16/19.53 permutation0:
% 19.16/19.53 0 ==> 0
% 19.16/19.53 1 ==> 1
% 19.16/19.53 2 ==> 2
% 19.16/19.53 end
% 19.16/19.53
% 19.16/19.53 subsumption: (43) {G0,W29,D2,L5,V6,M5} I { ! cyclic( X, Y, U, Z ), ! cyclic
% 19.16/19.53 ( X, Y, U, T ), ! cyclic( X, Y, U, W ), ! eqangle( U, X, U, Y, W, Z, W, T
% 19.16/19.53 ), cong( X, Y, Z, T ) }.
% 19.16/19.53 parent0: (55158) {G0,W29,D2,L5,V6,M5} { ! cyclic( X, Y, U, Z ), ! cyclic(
% 19.16/19.53 X, Y, U, T ), ! cyclic( X, Y, U, W ), ! eqangle( U, X, U, Y, W, Z, W, T )
% 19.16/19.53 , cong( X, Y, Z, T ) }.
% 19.16/19.53 substitution0:
% 19.16/19.53 X := X
% 19.16/19.53 Y := Y
% 19.16/19.53 Z := Z
% 19.16/19.53 T := T
% 19.16/19.53 U := U
% 19.16/19.53 W := W
% 19.16/19.53 end
% 19.16/19.53 permutation0:
% 19.16/19.53 0 ==> 0
% 19.16/19.53 1 ==> 1
% 19.16/19.53 2 ==> 2
% 19.16/19.53 3 ==> 3
% 19.16/19.53 4 ==> 4
% 19.16/19.53 end
% 19.16/19.53
% 19.16/19.53 subsumption: (56) {G0,W15,D2,L3,V4,M3} I { ! cong( X, Z, Y, Z ), ! cong( X
% 19.16/19.53 , T, Y, T ), perp( X, Y, Z, T ) }.
% 19.16/19.53 parent0: (55171) {G0,W15,D2,L3,V4,M3} { ! cong( X, Z, Y, Z ), ! cong( X, T
% 19.16/19.53 , Y, T ), perp( X, Y, Z, T ) }.
% 19.16/19.53 substitution0:
% 19.16/19.53 X := X
% 19.16/19.53 Y := Y
% 19.16/19.53 Z := Z
% 19.16/19.53 T := T
% 19.16/19.53 end
% 19.16/19.53 permutation0:
% 19.16/19.53 0 ==> 0
% 19.16/19.53 1 ==> 1
% 19.16/19.53 2 ==> 2
% 19.16/19.53 end
% 19.16/19.53
% 19.16/19.53 subsumption: (121) {G0,W4,D2,L1,V0,M1} I { coll( skol23, skol20, skol28 )
% 19.16/19.53 }.
% 19.16/19.53 parent0: (55237) {G0,W4,D2,L1,V0,M1} { coll( skol23, skol20, skol28 ) }.
% 19.16/19.53 substitution0:
% 19.16/19.53 end
% 19.16/19.53 permutation0:
% 19.16/19.53 0 ==> 0
% 19.16/19.53 end
% 19.16/19.53
% 19.16/19.53 subsumption: (125) {G0,W5,D2,L1,V0,M1} I { perp( skol25, skol24, skol20,
% 19.16/19.53 skol28 ) }.
% 19.16/19.53 parent0: (55241) {G0,W5,D2,L1,V0,M1} { perp( skol25, skol24, skol20,
% 19.16/19.53 skol28 ) }.
% 19.16/19.53 substitution0:
% 19.16/19.53 end
% 19.16/19.53 permutation0:
% 19.16/19.53 0 ==> 0
% 19.16/19.53 end
% 19.16/19.53
% 19.16/19.53 subsumption: (129) {G0,W9,D2,L1,V0,M1} I { ! eqangle( skol22, skol20,
% 19.16/19.53 skol20, skol24, skol25, skol26, skol26, skol23 ) }.
% 19.16/19.53 parent0: (55245) {G0,W9,D2,L1,V0,M1} { ! eqangle( skol22, skol20, skol20,
% 19.16/19.53 skol24, skol25, skol26, skol26, skol23 ) }.
% 19.16/19.53 substitution0:
% 19.16/19.53 end
% 19.16/19.53 permutation0:
% 19.16/19.53 0 ==> 0
% 19.16/19.53 end
% 19.16/19.53
% 19.16/19.53 resolution: (55559) {G1,W4,D2,L1,V0,M1} { coll( skol23, skol28, skol20 )
% 19.16/19.53 }.
% 19.16/19.53 parent0[0]: (0) {G0,W8,D2,L2,V3,M2} I { ! coll( X, Y, Z ), coll( X, Z, Y )
% 19.16/19.53 }.
% 19.16/19.53 parent1[0]: (121) {G0,W4,D2,L1,V0,M1} I { coll( skol23, skol20, skol28 )
% 19.16/19.53 }.
% 19.16/19.53 substitution0:
% 19.16/19.53 X := skol23
% 19.16/19.53 Y := skol20
% 19.16/19.53 Z := skol28
% 19.16/19.53 end
% 19.16/19.53 substitution1:
% 19.16/19.53 end
% 19.16/19.53
% 19.16/19.53 subsumption: (167) {G1,W4,D2,L1,V0,M1} R(0,121) { coll( skol23, skol28,
% 19.16/19.53 skol20 ) }.
% 19.16/19.53 parent0: (55559) {G1,W4,D2,L1,V0,M1} { coll( skol23, skol28, skol20 ) }.
% 19.16/19.53 substitution0:
% 19.16/19.53 end
% 19.16/19.53 permutation0:
% 19.16/19.53 0 ==> 0
% 19.16/19.53 end
% 19.16/19.53
% 19.16/19.53 resolution: (55560) {G1,W4,D2,L1,V0,M1} { coll( skol28, skol23, skol20 )
% 19.16/19.53 }.
% 19.16/19.53 parent0[0]: (1) {G0,W8,D2,L2,V3,M2} I { ! coll( X, Y, Z ), coll( Y, X, Z )
% 19.16/19.53 }.
% 19.16/19.53 parent1[0]: (167) {G1,W4,D2,L1,V0,M1} R(0,121) { coll( skol23, skol28,
% 19.16/19.53 skol20 ) }.
% 19.16/19.53 substitution0:
% 19.16/19.53 X := skol23
% 19.16/19.53 Y := skol28
% 19.16/19.53 Z := skol20
% 19.16/19.53 end
% 19.16/19.53 substitution1:
% 19.16/19.53 end
% 19.16/19.53
% 19.16/19.53 subsumption: (175) {G2,W4,D2,L1,V0,M1} R(1,167) { coll( skol28, skol23,
% 19.16/19.53 skol20 ) }.
% 19.16/19.53 parent0: (55560) {G1,W4,D2,L1,V0,M1} { coll( skol28, skol23, skol20 ) }.
% 19.16/19.53 substitution0:
% 19.16/19.53 end
% 19.16/19.53 permutation0:
% 19.16/19.53 0 ==> 0
% 19.16/19.53 end
% 19.16/19.53
% 19.16/19.53 resolution: (55564) {G1,W12,D2,L3,V4,M3} { coll( X, Z, Y ), ! coll( Z, T,
% 19.16/19.53 X ), ! coll( Z, T, Y ) }.
% 19.16/19.53 parent0[0]: (0) {G0,W8,D2,L2,V3,M2} I { ! coll( X, Y, Z ), coll( X, Z, Y )
% 19.16/19.53 }.
% 19.16/19.53 parent1[2]: (2) {G0,W12,D2,L3,V4,M3} I { ! coll( X, T, Y ), ! coll( X, T, Z
% 19.16/19.53 ), coll( Y, Z, X ) }.
% 19.16/19.53 substitution0:
% 19.16/19.53 X := X
% 19.16/19.53 Y := Y
% 19.16/19.53 Z := Z
% 19.16/19.53 end
% 19.16/19.53 substitution1:
% 19.16/19.53 X := Z
% 19.16/19.53 Y := X
% 19.16/19.53 Z := Y
% 19.16/19.53 T := T
% 19.16/19.53 end
% 19.16/19.53
% 19.16/19.53 subsumption: (208) {G1,W12,D2,L3,V4,M3} R(2,0) { ! coll( X, Y, Z ), ! coll
% 19.16/19.53 ( X, Y, T ), coll( Z, X, T ) }.
% 19.16/19.53 parent0: (55564) {G1,W12,D2,L3,V4,M3} { coll( X, Z, Y ), ! coll( Z, T, X )
% 19.16/19.53 , ! coll( Z, T, Y ) }.
% 19.16/19.53 substitution0:
% 19.16/19.53 X := Z
% 19.16/19.53 Y := T
% 19.16/19.53 Z := X
% 19.16/19.53 T := Y
% 19.16/19.53 end
% 19.16/19.53 permutation0:
% 19.16/19.53 0 ==> 2
% 19.16/19.53 1 ==> 0
% 19.16/19.53 2 ==> 1
% 19.16/19.53 end
% 19.16/19.53
% 19.16/19.53 factor: (55566) {G1,W8,D2,L2,V3,M2} { ! coll( X, Y, Z ), coll( Z, X, Z )
% 19.16/19.53 }.
% 19.16/19.53 parent0[0, 1]: (208) {G1,W12,D2,L3,V4,M3} R(2,0) { ! coll( X, Y, Z ), !
% 19.16/19.53 coll( X, Y, T ), coll( Z, X, T ) }.
% 19.16/19.53 substitution0:
% 19.16/19.53 X := X
% 19.16/19.53 Y := Y
% 19.16/19.53 Z := Z
% 19.16/19.53 T := Z
% 19.16/19.53 end
% 19.16/19.53
% 19.16/19.53 subsumption: (219) {G2,W8,D2,L2,V3,M2} F(208) { ! coll( X, Y, Z ), coll( Z
% 19.16/19.53 , X, Z ) }.
% 19.16/19.53 parent0: (55566) {G1,W8,D2,L2,V3,M2} { ! coll( X, Y, Z ), coll( Z, X, Z )
% 19.16/19.53 }.
% 19.16/19.53 substitution0:
% 19.16/19.53 X := X
% 19.16/19.53 Y := Y
% 19.16/19.53 Z := Z
% 19.16/19.53 end
% 19.16/19.53 permutation0:
% 19.16/19.53 0 ==> 0
% 19.16/19.53 1 ==> 1
% 19.16/19.53 end
% 19.16/19.53
% 19.16/19.53 resolution: (55567) {G1,W5,D2,L1,V0,M1} { perp( skol20, skol28, skol25,
% 19.16/19.53 skol24 ) }.
% 19.16/19.53 parent0[0]: (7) {G0,W10,D2,L2,V4,M2} I { ! perp( X, Y, Z, T ), perp( Z, T,
% 19.16/19.53 X, Y ) }.
% 19.16/19.53 parent1[0]: (125) {G0,W5,D2,L1,V0,M1} I { perp( skol25, skol24, skol20,
% 19.16/19.53 skol28 ) }.
% 19.16/19.53 substitution0:
% 19.16/19.53 X := skol25
% 19.16/19.53 Y := skol24
% 19.16/19.53 Z := skol20
% 19.16/19.53 T := skol28
% 19.16/19.53 end
% 19.16/19.53 substitution1:
% 19.16/19.53 end
% 19.16/19.53
% 19.16/19.53 subsumption: (293) {G1,W5,D2,L1,V0,M1} R(125,7) { perp( skol20, skol28,
% 19.16/19.53 skol25, skol24 ) }.
% 19.16/19.53 parent0: (55567) {G1,W5,D2,L1,V0,M1} { perp( skol20, skol28, skol25,
% 19.16/19.53 skol24 ) }.
% 19.16/19.53 substitution0:
% 19.16/19.53 end
% 19.16/19.53 permutation0:
% 19.16/19.53 0 ==> 0
% 19.16/19.53 end
% 19.16/19.53
% 19.16/19.53 resolution: (55569) {G1,W10,D2,L2,V2,M2} { ! perp( X, Y, skol25, skol24 )
% 19.16/19.53 , para( X, Y, skol20, skol28 ) }.
% 19.16/19.53 parent0[1]: (8) {G0,W15,D2,L3,V6,M3} I { ! perp( X, Y, U, W ), ! perp( U, W
% 19.16/19.53 , Z, T ), para( X, Y, Z, T ) }.
% 19.16/19.53 parent1[0]: (125) {G0,W5,D2,L1,V0,M1} I { perp( skol25, skol24, skol20,
% 19.16/19.53 skol28 ) }.
% 19.16/19.53 substitution0:
% 19.16/19.53 X := X
% 19.16/19.53 Y := Y
% 19.16/19.53 Z := skol20
% 19.16/19.53 T := skol28
% 19.16/19.53 U := skol25
% 19.16/19.53 W := skol24
% 19.16/19.53 end
% 19.16/19.53 substitution1:
% 19.16/19.53 end
% 19.16/19.53
% 19.16/19.53 subsumption: (296) {G1,W10,D2,L2,V2,M2} R(8,125) { ! perp( X, Y, skol25,
% 19.16/19.53 skol24 ), para( X, Y, skol20, skol28 ) }.
% 19.16/19.53 parent0: (55569) {G1,W10,D2,L2,V2,M2} { ! perp( X, Y, skol25, skol24 ),
% 19.16/19.53 para( X, Y, skol20, skol28 ) }.
% 19.16/19.53 substitution0:
% 19.16/19.53 X := X
% 19.16/19.53 Y := Y
% 19.16/19.53 end
% 19.16/19.53 permutation0:
% 19.16/19.53 0 ==> 0
% 19.16/19.53 1 ==> 1
% 19.16/19.53 end
% 19.16/19.53
% 19.16/19.53 resolution: (55570) {G1,W15,D2,L3,V6,M3} { ! perp( Z, T, U, W ), para( X,
% 19.16/19.53 Y, U, W ), ! perp( Z, T, X, Y ) }.
% 19.16/19.53 parent0[0]: (8) {G0,W15,D2,L3,V6,M3} I { ! perp( X, Y, U, W ), ! perp( U, W
% 19.16/19.53 , Z, T ), para( X, Y, Z, T ) }.
% 19.16/19.53 parent1[1]: (7) {G0,W10,D2,L2,V4,M2} I { ! perp( X, Y, Z, T ), perp( Z, T,
% 19.16/19.53 X, Y ) }.
% 19.16/19.53 substitution0:
% 19.16/19.53 X := X
% 19.16/19.53 Y := Y
% 19.16/19.53 Z := U
% 19.16/19.53 T := W
% 19.16/19.53 U := Z
% 19.16/19.53 W := T
% 19.16/19.53 end
% 19.16/19.53 substitution1:
% 19.16/19.53 X := Z
% 19.16/19.53 Y := T
% 19.16/19.53 Z := X
% 19.16/19.53 T := Y
% 19.16/19.53 end
% 19.16/19.53
% 19.16/19.53 subsumption: (297) {G1,W15,D2,L3,V6,M3} R(8,7) { ! perp( X, Y, Z, T ), para
% 19.16/19.53 ( U, W, Z, T ), ! perp( X, Y, U, W ) }.
% 19.16/19.53 parent0: (55570) {G1,W15,D2,L3,V6,M3} { ! perp( Z, T, U, W ), para( X, Y,
% 19.16/19.53 U, W ), ! perp( Z, T, X, Y ) }.
% 19.16/19.53 substitution0:
% 19.16/19.53 X := U
% 19.16/19.53 Y := W
% 19.16/19.53 Z := X
% 19.16/19.53 T := Y
% 19.16/19.53 U := Z
% 19.16/19.53 W := T
% 19.16/19.53 end
% 19.16/19.53 permutation0:
% 19.16/19.53 0 ==> 0
% 19.16/19.53 1 ==> 1
% 19.16/19.53 2 ==> 2
% 19.16/19.53 end
% 19.16/19.53
% 19.16/19.53 resolution: (55575) {G1,W10,D2,L2,V4,M2} { cyclic( X, Y, T, Z ), ! cyclic
% 19.16/19.53 ( X, Z, Y, T ) }.
% 19.16/19.53 parent0[0]: (13) {G0,W10,D2,L2,V4,M2} I { ! cyclic( X, Y, Z, T ), cyclic( X
% 19.16/19.53 , Y, T, Z ) }.
% 19.16/19.53 parent1[1]: (14) {G0,W10,D2,L2,V4,M2} I { ! cyclic( X, Y, Z, T ), cyclic( X
% 19.16/19.53 , Z, Y, T ) }.
% 19.16/19.53 substitution0:
% 19.16/19.53 X := X
% 19.16/19.53 Y := Y
% 19.16/19.53 Z := Z
% 19.16/19.53 T := T
% 19.16/19.53 end
% 19.16/19.53 substitution1:
% 19.16/19.53 X := X
% 19.16/19.53 Y := Z
% 19.16/19.53 Z := Y
% 19.16/19.53 T := T
% 19.16/19.53 end
% 19.16/19.53
% 19.16/19.53 subsumption: (406) {G1,W10,D2,L2,V4,M2} R(14,13) { ! cyclic( X, Y, Z, T ),
% 19.16/19.53 cyclic( X, Z, T, Y ) }.
% 19.16/19.53 parent0: (55575) {G1,W10,D2,L2,V4,M2} { cyclic( X, Y, T, Z ), ! cyclic( X
% 19.16/19.53 , Z, Y, T ) }.
% 19.16/19.53 substitution0:
% 19.16/19.53 X := X
% 19.16/19.53 Y := Z
% 19.16/19.53 Z := Y
% 19.16/19.53 T := T
% 19.16/19.53 end
% 19.16/19.53 permutation0:
% 19.16/19.53 0 ==> 1
% 19.16/19.53 1 ==> 0
% 19.16/19.53 end
% 19.16/19.53
% 19.16/19.53 resolution: (55576) {G1,W10,D2,L2,V4,M2} { cyclic( Y, X, Z, T ), ! cyclic
% 19.16/19.53 ( X, Z, Y, T ) }.
% 19.16/19.53 parent0[0]: (15) {G0,W10,D2,L2,V4,M2} I { ! cyclic( X, Y, Z, T ), cyclic( Y
% 19.16/19.53 , X, Z, T ) }.
% 19.16/19.53 parent1[1]: (14) {G0,W10,D2,L2,V4,M2} I { ! cyclic( X, Y, Z, T ), cyclic( X
% 19.16/19.53 , Z, Y, T ) }.
% 19.16/19.53 substitution0:
% 19.16/19.53 X := X
% 19.16/19.53 Y := Y
% 19.16/19.53 Z := Z
% 19.16/19.53 T := T
% 19.16/19.53 end
% 19.16/19.53 substitution1:
% 19.16/19.53 X := X
% 19.16/19.53 Y := Z
% 19.16/19.53 Z := Y
% 19.16/19.53 T := T
% 19.16/19.53 end
% 19.16/19.53
% 19.16/19.53 subsumption: (424) {G1,W10,D2,L2,V4,M2} R(15,14) { cyclic( X, Y, Z, T ), !
% 19.16/19.53 cyclic( Y, Z, X, T ) }.
% 19.16/19.53 parent0: (55576) {G1,W10,D2,L2,V4,M2} { cyclic( Y, X, Z, T ), ! cyclic( X
% 19.16/19.53 , Z, Y, T ) }.
% 19.16/19.53 substitution0:
% 19.16/19.53 X := Y
% 19.16/19.53 Y := X
% 19.16/19.53 Z := Z
% 19.16/19.53 T := T
% 19.16/19.53 end
% 19.16/19.53 permutation0:
% 19.16/19.53 0 ==> 0
% 19.16/19.53 1 ==> 1
% 19.16/19.53 end
% 19.16/19.53
% 19.16/19.53 resolution: (55577) {G1,W10,D2,L2,V4,M2} { cyclic( Y, X, Z, T ), ! cyclic
% 19.16/19.53 ( X, Y, T, Z ) }.
% 19.16/19.53 parent0[0]: (15) {G0,W10,D2,L2,V4,M2} I { ! cyclic( X, Y, Z, T ), cyclic( Y
% 19.16/19.53 , X, Z, T ) }.
% 19.16/19.53 parent1[1]: (13) {G0,W10,D2,L2,V4,M2} I { ! cyclic( X, Y, Z, T ), cyclic( X
% 19.16/19.53 , Y, T, Z ) }.
% 19.16/19.53 substitution0:
% 19.16/19.53 X := X
% 19.16/19.53 Y := Y
% 19.16/19.53 Z := Z
% 19.16/19.53 T := T
% 19.16/19.53 end
% 19.16/19.53 substitution1:
% 19.16/19.53 X := X
% 19.16/19.53 Y := Y
% 19.16/19.53 Z := T
% 19.16/19.53 T := Z
% 19.16/19.53 end
% 19.16/19.53
% 19.16/19.53 subsumption: (426) {G1,W10,D2,L2,V4,M2} R(15,13) { cyclic( X, Y, Z, T ), !
% 19.16/19.53 cyclic( Y, X, T, Z ) }.
% 19.16/19.53 parent0: (55577) {G1,W10,D2,L2,V4,M2} { cyclic( Y, X, Z, T ), ! cyclic( X
% 19.16/19.53 , Y, T, Z ) }.
% 19.16/19.53 substitution0:
% 19.16/19.53 X := Y
% 19.16/19.53 Y := X
% 19.16/19.53 Z := Z
% 19.16/19.53 T := T
% 19.16/19.53 end
% 19.16/19.53 permutation0:
% 19.16/19.53 0 ==> 0
% 19.16/19.53 1 ==> 1
% 19.16/19.53 end
% 19.16/19.53
% 19.16/19.53 resolution: (55581) {G1,W15,D2,L3,V5,M3} { cyclic( Y, X, Z, T ), ! cyclic
% 19.16/19.53 ( U, X, Y, Z ), ! cyclic( U, X, Y, T ) }.
% 19.16/19.53 parent0[0]: (15) {G0,W10,D2,L2,V4,M2} I { ! cyclic( X, Y, Z, T ), cyclic( Y
% 19.16/19.53 , X, Z, T ) }.
% 19.16/19.53 parent1[2]: (16) {G0,W15,D2,L3,V5,M3} I { ! cyclic( U, X, Y, Z ), ! cyclic
% 19.16/19.53 ( U, X, Y, T ), cyclic( X, Y, Z, T ) }.
% 19.16/19.53 substitution0:
% 19.16/19.53 X := X
% 19.16/19.53 Y := Y
% 19.16/19.53 Z := Z
% 19.16/19.53 T := T
% 19.16/19.53 end
% 19.16/19.53 substitution1:
% 19.16/19.53 X := X
% 19.16/19.53 Y := Y
% 19.16/19.53 Z := Z
% 19.16/19.53 T := T
% 19.16/19.53 U := U
% 19.16/19.53 end
% 19.16/19.53
% 19.16/19.53 subsumption: (450) {G1,W15,D2,L3,V5,M3} R(16,15) { ! cyclic( X, Y, Z, T ),
% 19.16/19.53 ! cyclic( X, Y, Z, U ), cyclic( Z, Y, T, U ) }.
% 19.16/19.53 parent0: (55581) {G1,W15,D2,L3,V5,M3} { cyclic( Y, X, Z, T ), ! cyclic( U
% 19.16/19.53 , X, Y, Z ), ! cyclic( U, X, Y, T ) }.
% 19.16/19.53 substitution0:
% 19.16/19.53 X := Y
% 19.16/19.53 Y := Z
% 19.16/19.53 Z := T
% 19.16/19.53 T := U
% 19.16/19.53 U := X
% 19.16/19.53 end
% 19.16/19.53 permutation0:
% 19.16/19.53 0 ==> 2
% 19.16/19.53 1 ==> 0
% 19.16/19.53 2 ==> 1
% 19.16/19.53 end
% 19.16/19.53
% 19.16/19.53 resolution: (55584) {G1,W15,D2,L3,V5,M3} { ! cyclic( X, Y, Z, T ), cyclic
% 19.16/19.53 ( Y, Z, T, U ), ! cyclic( X, Y, U, Z ) }.
% 19.16/19.53 parent0[1]: (16) {G0,W15,D2,L3,V5,M3} I { ! cyclic( U, X, Y, Z ), ! cyclic
% 19.16/19.53 ( U, X, Y, T ), cyclic( X, Y, Z, T ) }.
% 19.16/19.53 parent1[1]: (13) {G0,W10,D2,L2,V4,M2} I { ! cyclic( X, Y, Z, T ), cyclic( X
% 19.16/19.53 , Y, T, Z ) }.
% 19.16/19.53 substitution0:
% 19.16/19.53 X := Y
% 19.16/19.53 Y := Z
% 19.16/19.53 Z := T
% 19.16/19.53 T := U
% 19.16/19.53 U := X
% 19.16/19.53 end
% 19.16/19.53 substitution1:
% 19.16/19.53 X := X
% 19.16/19.53 Y := Y
% 19.16/19.53 Z := U
% 19.16/19.53 T := Z
% 19.16/19.53 end
% 19.16/19.53
% 19.16/19.53 subsumption: (455) {G1,W15,D2,L3,V5,M3} R(16,13) { ! cyclic( X, Y, Z, T ),
% 19.16/19.53 cyclic( Y, Z, T, U ), ! cyclic( X, Y, U, Z ) }.
% 19.16/19.53 parent0: (55584) {G1,W15,D2,L3,V5,M3} { ! cyclic( X, Y, Z, T ), cyclic( Y
% 19.16/19.53 , Z, T, U ), ! cyclic( X, Y, U, Z ) }.
% 19.16/19.53 substitution0:
% 19.16/19.53 X := X
% 19.16/19.53 Y := Y
% 19.16/19.53 Z := Z
% 19.16/19.53 T := T
% 19.16/19.53 U := U
% 19.16/19.53 end
% 19.16/19.53 permutation0:
% 19.16/19.53 0 ==> 0
% 19.16/19.53 1 ==> 1
% 19.16/19.53 2 ==> 2
% 19.16/19.53 end
% 19.16/19.53
% 19.16/19.53 factor: (55586) {G1,W10,D2,L2,V4,M2} { ! cyclic( X, Y, Z, T ), cyclic( Z,
% 19.16/19.53 Y, T, T ) }.
% 19.16/19.53 parent0[0, 1]: (450) {G1,W15,D2,L3,V5,M3} R(16,15) { ! cyclic( X, Y, Z, T )
% 19.16/19.53 , ! cyclic( X, Y, Z, U ), cyclic( Z, Y, T, U ) }.
% 19.16/19.53 substitution0:
% 19.16/19.53 X := X
% 19.16/19.53 Y := Y
% 19.16/19.53 Z := Z
% 19.16/19.53 T := T
% 19.16/19.53 U := T
% 19.16/19.53 end
% 19.16/19.53
% 19.16/19.53 subsumption: (459) {G2,W10,D2,L2,V4,M2} F(450) { ! cyclic( X, Y, Z, T ),
% 19.16/19.53 cyclic( Z, Y, T, T ) }.
% 19.16/19.53 parent0: (55586) {G1,W10,D2,L2,V4,M2} { ! cyclic( X, Y, Z, T ), cyclic( Z
% 19.16/19.53 , Y, T, T ) }.
% 19.16/19.53 substitution0:
% 19.16/19.53 X := X
% 19.16/19.53 Y := Y
% 19.16/19.53 Z := Z
% 19.16/19.53 T := T
% 19.16/19.53 end
% 19.16/19.53 permutation0:
% 19.16/19.53 0 ==> 0
% 19.16/19.53 1 ==> 1
% 19.16/19.53 end
% 19.16/19.53
% 19.16/19.53 resolution: (55587) {G3,W4,D2,L1,V0,M1} { coll( skol20, skol28, skol20 )
% 19.16/19.53 }.
% 19.16/19.53 parent0[0]: (219) {G2,W8,D2,L2,V3,M2} F(208) { ! coll( X, Y, Z ), coll( Z,
% 19.16/19.53 X, Z ) }.
% 19.16/19.53 parent1[0]: (175) {G2,W4,D2,L1,V0,M1} R(1,167) { coll( skol28, skol23,
% 19.16/19.53 skol20 ) }.
% 19.16/19.53 substitution0:
% 19.16/19.53 X := skol28
% 19.16/19.53 Y := skol23
% 19.16/19.53 Z := skol20
% 19.16/19.53 end
% 19.16/19.53 substitution1:
% 19.16/19.53 end
% 19.16/19.53
% 19.16/19.53 subsumption: (478) {G3,W4,D2,L1,V0,M1} R(219,175) { coll( skol20, skol28,
% 19.16/19.53 skol20 ) }.
% 19.16/19.53 parent0: (55587) {G3,W4,D2,L1,V0,M1} { coll( skol20, skol28, skol20 ) }.
% 19.16/19.53 substitution0:
% 19.16/19.53 end
% 19.16/19.53 permutation0:
% 19.16/19.53 0 ==> 0
% 19.16/19.53 end
% 19.16/19.53
% 19.16/19.53 resolution: (55589) {G1,W18,D2,L2,V8,M2} { eqangle( U, W, V0, V1, X, Y, Z
% 19.16/19.53 , T ), ! eqangle( X, Y, U, W, Z, T, V0, V1 ) }.
% 19.16/19.53 parent0[0]: (19) {G0,W18,D2,L2,V8,M2} I { ! eqangle( X, Y, Z, T, U, W, V0,
% 19.16/19.53 V1 ), eqangle( U, W, V0, V1, X, Y, Z, T ) }.
% 19.16/19.53 parent1[1]: (20) {G0,W18,D2,L2,V8,M2} I { ! eqangle( X, Y, Z, T, U, W, V0,
% 19.16/19.53 V1 ), eqangle( X, Y, U, W, Z, T, V0, V1 ) }.
% 19.16/19.53 substitution0:
% 19.16/19.53 X := X
% 19.16/19.53 Y := Y
% 19.16/19.53 Z := Z
% 19.16/19.53 T := T
% 19.16/19.53 U := U
% 19.16/19.53 W := W
% 19.16/19.53 V0 := V0
% 19.16/19.53 V1 := V1
% 19.16/19.53 end
% 19.16/19.53 substitution1:
% 19.16/19.53 X := X
% 19.16/19.53 Y := Y
% 19.16/19.53 Z := U
% 19.16/19.53 T := W
% 19.16/19.53 U := Z
% 19.16/19.53 W := T
% 19.16/19.53 V0 := V0
% 19.16/19.53 V1 := V1
% 19.16/19.53 end
% 19.16/19.53
% 19.16/19.53 subsumption: (531) {G1,W18,D2,L2,V8,M2} R(20,19) { ! eqangle( X, Y, Z, T, U
% 19.16/19.53 , W, V0, V1 ), eqangle( Z, T, V0, V1, X, Y, U, W ) }.
% 19.16/19.53 parent0: (55589) {G1,W18,D2,L2,V8,M2} { eqangle( U, W, V0, V1, X, Y, Z, T
% 19.16/19.53 ), ! eqangle( X, Y, U, W, Z, T, V0, V1 ) }.
% 19.16/19.53 substitution0:
% 19.16/19.53 X := X
% 19.16/19.53 Y := Y
% 19.16/19.53 Z := U
% 19.16/19.53 T := W
% 19.16/19.53 U := Z
% 19.16/19.53 W := T
% 19.16/19.53 V0 := V0
% 19.16/19.53 V1 := V1
% 19.16/19.53 end
% 19.16/19.53 permutation0:
% 19.16/19.53 0 ==> 1
% 19.16/19.53 1 ==> 0
% 19.16/19.53 end
% 19.16/19.53
% 19.16/19.53 resolution: (55590) {G1,W4,D2,L1,V0,M1} { coll( skol20, skol20, skol28 )
% 19.16/19.53 }.
% 19.16/19.53 parent0[0]: (0) {G0,W8,D2,L2,V3,M2} I { ! coll( X, Y, Z ), coll( X, Z, Y )
% 19.16/19.53 }.
% 19.16/19.53 parent1[0]: (478) {G3,W4,D2,L1,V0,M1} R(219,175) { coll( skol20, skol28,
% 19.16/19.53 skol20 ) }.
% 19.16/19.53 substitution0:
% 19.16/19.53 X := skol20
% 19.16/19.53 Y := skol28
% 19.16/19.53 Z := skol20
% 19.16/19.53 end
% 19.16/19.53 substitution1:
% 19.16/19.53 end
% 19.16/19.53
% 19.16/19.53 subsumption: (673) {G4,W4,D2,L1,V0,M1} R(478,0) { coll( skol20, skol20,
% 19.16/19.53 skol28 ) }.
% 19.16/19.53 parent0: (55590) {G1,W4,D2,L1,V0,M1} { coll( skol20, skol20, skol28 ) }.
% 19.16/19.53 substitution0:
% 19.16/19.53 end
% 19.16/19.53 permutation0:
% 19.16/19.53 0 ==> 0
% 19.16/19.53 end
% 19.16/19.53
% 19.16/19.53 resolution: (55591) {G1,W23,D2,L3,V10,M3} { ! eqangle( U, W, Z, T, V0, V1
% 19.16/19.53 , V2, V3 ), eqangle( X, Y, Z, T, V0, V1, V2, V3 ), ! para( X, Y, U, W )
% 19.16/19.53 }.
% 19.16/19.53 parent0[0]: (21) {G0,W27,D2,L3,V12,M3} I { ! eqangle( X, Y, Z, T, V2, V3,
% 19.16/19.53 V4, V5 ), ! eqangle( V2, V3, V4, V5, U, W, V0, V1 ), eqangle( X, Y, Z, T
% 19.16/19.53 , U, W, V0, V1 ) }.
% 19.16/19.53 parent1[1]: (39) {G0,W14,D2,L2,V6,M2} I { ! para( X, Y, Z, T ), eqangle( X
% 19.16/19.53 , Y, U, W, Z, T, U, W ) }.
% 19.16/19.53 substitution0:
% 19.16/19.53 X := X
% 19.16/19.53 Y := Y
% 19.16/19.53 Z := Z
% 19.16/19.53 T := T
% 19.16/19.53 U := V0
% 19.16/19.53 W := V1
% 19.16/19.53 V0 := V2
% 19.16/19.53 V1 := V3
% 19.16/19.53 V2 := U
% 19.16/19.53 V3 := W
% 19.16/19.53 V4 := Z
% 19.16/19.53 V5 := T
% 19.16/19.53 end
% 19.16/19.53 substitution1:
% 19.16/19.53 X := X
% 19.16/19.53 Y := Y
% 19.16/19.53 Z := U
% 19.16/19.53 T := W
% 19.16/19.53 U := Z
% 19.16/19.53 W := T
% 19.16/19.53 end
% 19.16/19.53
% 19.16/19.53 subsumption: (794) {G1,W23,D2,L3,V10,M3} R(39,21) { ! para( X, Y, Z, T ), !
% 19.16/19.53 eqangle( Z, T, U, W, V0, V1, V2, V3 ), eqangle( X, Y, U, W, V0, V1, V2,
% 19.16/19.53 V3 ) }.
% 19.16/19.53 parent0: (55591) {G1,W23,D2,L3,V10,M3} { ! eqangle( U, W, Z, T, V0, V1, V2
% 19.16/19.53 , V3 ), eqangle( X, Y, Z, T, V0, V1, V2, V3 ), ! para( X, Y, U, W ) }.
% 19.16/19.53 substitution0:
% 19.16/19.53 X := X
% 19.16/19.53 Y := Y
% 19.16/19.53 Z := U
% 19.16/19.53 T := W
% 19.16/19.53 U := Z
% 19.16/19.53 W := T
% 19.16/19.53 V0 := V0
% 19.16/19.53 V1 := V1
% 19.16/19.53 V2 := V2
% 19.16/19.53 V3 := V3
% 19.16/19.53 end
% 19.16/19.53 permutation0:
% 19.16/19.53 0 ==> 1
% 19.16/19.53 1 ==> 2
% 19.16/19.53 2 ==> 0
% 19.16/19.53 end
% 19.16/19.53
% 19.16/19.53 resolution: (55593) {G1,W14,D2,L2,V6,M2} { eqangle( Z, T, X, Y, Z, T, U, W
% 19.16/19.53 ), ! para( X, Y, U, W ) }.
% 19.16/19.53 parent0[0]: (18) {G0,W18,D2,L2,V8,M2} I { ! eqangle( X, Y, Z, T, U, W, V0,
% 19.16/19.53 V1 ), eqangle( Z, T, X, Y, V0, V1, U, W ) }.
% 19.16/19.53 parent1[1]: (39) {G0,W14,D2,L2,V6,M2} I { ! para( X, Y, Z, T ), eqangle( X
% 19.16/19.53 , Y, U, W, Z, T, U, W ) }.
% 19.16/19.53 substitution0:
% 19.16/19.53 X := X
% 19.16/19.53 Y := Y
% 19.16/19.53 Z := Z
% 19.16/19.53 T := T
% 19.16/19.53 U := U
% 19.16/19.53 W := W
% 19.16/19.53 V0 := Z
% 19.16/19.53 V1 := T
% 19.16/19.53 end
% 19.16/19.53 substitution1:
% 19.16/19.53 X := X
% 19.16/19.53 Y := Y
% 19.16/19.53 Z := U
% 19.16/19.53 T := W
% 19.16/19.53 U := Z
% 19.16/19.53 W := T
% 19.16/19.53 end
% 19.16/19.53
% 19.16/19.53 subsumption: (798) {G1,W14,D2,L2,V6,M2} R(39,18) { ! para( X, Y, Z, T ),
% 19.16/19.53 eqangle( U, W, X, Y, U, W, Z, T ) }.
% 19.16/19.53 parent0: (55593) {G1,W14,D2,L2,V6,M2} { eqangle( Z, T, X, Y, Z, T, U, W )
% 19.16/19.53 , ! para( X, Y, U, W ) }.
% 19.16/19.53 substitution0:
% 19.16/19.53 X := X
% 19.16/19.53 Y := Y
% 19.16/19.53 Z := U
% 19.16/19.53 T := W
% 19.16/19.53 U := Z
% 19.16/19.53 W := T
% 19.16/19.53 end
% 19.16/19.53 permutation0:
% 19.16/19.53 0 ==> 1
% 19.16/19.53 1 ==> 0
% 19.16/19.53 end
% 19.16/19.53
% 19.16/19.53 resolution: (55594) {G1,W14,D2,L2,V6,M2} { eqangle( X, Y, U, W, Z, T, U, W
% 19.16/19.53 ), ! para( X, Y, T, Z ) }.
% 19.16/19.53 parent0[0]: (39) {G0,W14,D2,L2,V6,M2} I { ! para( X, Y, Z, T ), eqangle( X
% 19.16/19.53 , Y, U, W, Z, T, U, W ) }.
% 19.16/19.53 parent1[1]: (3) {G0,W10,D2,L2,V4,M2} I { ! para( X, Y, Z, T ), para( X, Y,
% 19.16/19.53 T, Z ) }.
% 19.16/19.53 substitution0:
% 19.16/19.53 X := X
% 19.16/19.53 Y := Y
% 19.16/19.53 Z := Z
% 19.16/19.53 T := T
% 19.16/19.53 U := U
% 19.16/19.53 W := W
% 19.16/19.53 end
% 19.16/19.53 substitution1:
% 19.16/19.53 X := X
% 19.16/19.53 Y := Y
% 19.16/19.53 Z := T
% 19.16/19.53 T := Z
% 19.16/19.53 end
% 19.16/19.53
% 19.16/19.53 subsumption: (802) {G1,W14,D2,L2,V6,M2} R(39,3) { eqangle( X, Y, Z, T, U, W
% 19.16/19.53 , Z, T ), ! para( X, Y, W, U ) }.
% 19.16/19.53 parent0: (55594) {G1,W14,D2,L2,V6,M2} { eqangle( X, Y, U, W, Z, T, U, W )
% 19.16/19.53 , ! para( X, Y, T, Z ) }.
% 19.16/19.53 substitution0:
% 19.16/19.53 X := X
% 19.16/19.53 Y := Y
% 19.16/19.53 Z := U
% 19.16/19.53 T := W
% 19.16/19.53 U := Z
% 19.16/19.53 W := T
% 19.16/19.53 end
% 19.16/19.53 permutation0:
% 19.16/19.53 0 ==> 0
% 19.16/19.53 1 ==> 1
% 19.16/19.53 end
% 19.16/19.53
% 19.16/19.53 resolution: (55595) {G1,W14,D2,L2,V1,M2} { ! eqangle( skol20, X, skol20,
% 19.16/19.53 skol28, skol20, X, skol20, skol28 ), cyclic( X, skol28, skol20, skol20 )
% 19.16/19.53 }.
% 19.16/19.53 parent0[1]: (42) {G0,W18,D2,L3,V4,M3} I { ! eqangle( Z, X, Z, Y, T, X, T, Y
% 19.16/19.53 ), ! coll( Z, T, Y ), cyclic( X, Y, Z, T ) }.
% 19.16/19.53 parent1[0]: (673) {G4,W4,D2,L1,V0,M1} R(478,0) { coll( skol20, skol20,
% 19.16/19.53 skol28 ) }.
% 19.16/19.53 substitution0:
% 19.16/19.53 X := X
% 19.16/19.53 Y := skol28
% 19.16/19.53 Z := skol20
% 19.16/19.53 T := skol20
% 19.16/19.53 end
% 19.16/19.53 substitution1:
% 19.16/19.53 end
% 19.16/19.53
% 19.16/19.53 subsumption: (902) {G5,W14,D2,L2,V1,M2} R(42,673) { ! eqangle( skol20, X,
% 19.16/19.53 skol20, skol28, skol20, X, skol20, skol28 ), cyclic( X, skol28, skol20,
% 19.16/19.53 skol20 ) }.
% 19.16/19.53 parent0: (55595) {G1,W14,D2,L2,V1,M2} { ! eqangle( skol20, X, skol20,
% 19.16/19.53 skol28, skol20, X, skol20, skol28 ), cyclic( X, skol28, skol20, skol20 )
% 19.16/19.53 }.
% 19.16/19.53 substitution0:
% 19.16/19.53 X := X
% 19.16/19.53 end
% 19.16/19.53 permutation0:
% 19.16/19.53 0 ==> 0
% 19.16/19.53 1 ==> 1
% 19.16/19.53 end
% 19.16/19.53
% 19.16/19.53 resolution: (55596) {G1,W25,D2,L5,V4,M5} { ! cyclic( X, Y, Z, X ), !
% 19.16/19.53 cyclic( X, Y, Z, Y ), ! cyclic( X, Y, Z, T ), cong( X, Y, X, Y ), !
% 19.16/19.53 cyclic( X, Y, Z, T ) }.
% 19.16/19.53 parent0[3]: (43) {G0,W29,D2,L5,V6,M5} I { ! cyclic( X, Y, U, Z ), ! cyclic
% 19.16/19.53 ( X, Y, U, T ), ! cyclic( X, Y, U, W ), ! eqangle( U, X, U, Y, W, Z, W, T
% 19.16/19.53 ), cong( X, Y, Z, T ) }.
% 19.16/19.53 parent1[1]: (40) {G0,W14,D2,L2,V4,M2} I { ! cyclic( X, Y, Z, T ), eqangle(
% 19.16/19.53 Z, X, Z, Y, T, X, T, Y ) }.
% 19.16/19.53 substitution0:
% 19.16/19.53 X := X
% 19.16/19.53 Y := Y
% 19.16/19.53 Z := X
% 19.16/19.53 T := Y
% 19.16/19.53 U := Z
% 19.16/19.53 W := T
% 19.16/19.53 end
% 19.16/19.53 substitution1:
% 19.16/19.53 X := X
% 19.16/19.53 Y := Y
% 19.16/19.53 Z := Z
% 19.16/19.53 T := T
% 19.16/19.53 end
% 19.16/19.53
% 19.16/19.53 factor: (55598) {G1,W20,D2,L4,V3,M4} { ! cyclic( X, Y, Z, X ), ! cyclic( X
% 19.16/19.53 , Y, Z, Y ), cong( X, Y, X, Y ), ! cyclic( X, Y, Z, X ) }.
% 19.16/19.53 parent0[0, 2]: (55596) {G1,W25,D2,L5,V4,M5} { ! cyclic( X, Y, Z, X ), !
% 19.16/19.53 cyclic( X, Y, Z, Y ), ! cyclic( X, Y, Z, T ), cong( X, Y, X, Y ), !
% 19.16/19.53 cyclic( X, Y, Z, T ) }.
% 19.16/19.53 substitution0:
% 19.16/19.53 X := X
% 19.16/19.53 Y := Y
% 19.16/19.53 Z := Z
% 19.16/19.53 T := X
% 19.16/19.53 end
% 19.16/19.53
% 19.16/19.53 subsumption: (1025) {G1,W20,D2,L4,V4,M4} R(43,40);f { ! cyclic( X, Y, Z, X
% 19.16/19.53 ), ! cyclic( X, Y, Z, Y ), ! cyclic( X, Y, Z, T ), cong( X, Y, X, Y )
% 19.16/19.53 }.
% 19.16/19.53 parent0: (55598) {G1,W20,D2,L4,V3,M4} { ! cyclic( X, Y, Z, X ), ! cyclic(
% 19.16/19.53 X, Y, Z, Y ), cong( X, Y, X, Y ), ! cyclic( X, Y, Z, X ) }.
% 19.16/19.53 substitution0:
% 19.16/19.53 X := X
% 19.16/19.53 Y := Y
% 19.16/19.53 Z := Z
% 19.16/19.53 end
% 19.16/19.53 permutation0:
% 19.16/19.53 0 ==> 0
% 19.16/19.53 1 ==> 1
% 19.16/19.53 2 ==> 3
% 19.16/19.53 3 ==> 0
% 19.16/19.53 end
% 19.16/19.53
% 19.16/19.53 factor: (55603) {G1,W15,D2,L3,V3,M3} { ! cyclic( X, Y, Z, X ), ! cyclic( X
% 19.16/19.53 , Y, Z, Y ), cong( X, Y, X, Y ) }.
% 19.16/19.53 parent0[0, 2]: (1025) {G1,W20,D2,L4,V4,M4} R(43,40);f { ! cyclic( X, Y, Z,
% 19.16/19.53 X ), ! cyclic( X, Y, Z, Y ), ! cyclic( X, Y, Z, T ), cong( X, Y, X, Y )
% 19.16/19.53 }.
% 19.16/19.53 substitution0:
% 19.16/19.53 X := X
% 19.16/19.53 Y := Y
% 19.16/19.53 Z := Z
% 19.16/19.53 T := X
% 19.16/19.53 end
% 19.16/19.53
% 19.16/19.53 subsumption: (1057) {G2,W15,D2,L3,V3,M3} F(1025) { ! cyclic( X, Y, Z, X ),
% 19.16/19.53 ! cyclic( X, Y, Z, Y ), cong( X, Y, X, Y ) }.
% 19.16/19.53 parent0: (55603) {G1,W15,D2,L3,V3,M3} { ! cyclic( X, Y, Z, X ), ! cyclic(
% 19.16/19.53 X, Y, Z, Y ), cong( X, Y, X, Y ) }.
% 19.16/19.53 substitution0:
% 19.16/19.53 X := X
% 19.16/19.53 Y := Y
% 19.16/19.53 Z := Z
% 19.16/19.53 end
% 19.16/19.53 permutation0:
% 19.16/19.53 0 ==> 0
% 19.16/19.53 1 ==> 1
% 19.16/19.53 2 ==> 2
% 19.16/19.53 end
% 19.16/19.53
% 19.16/19.53 resolution: (55605) {G2,W5,D2,L1,V0,M1} { para( skol20, skol28, skol20,
% 19.16/19.53 skol28 ) }.
% 19.16/19.53 parent0[0]: (296) {G1,W10,D2,L2,V2,M2} R(8,125) { ! perp( X, Y, skol25,
% 19.16/19.53 skol24 ), para( X, Y, skol20, skol28 ) }.
% 19.16/19.53 parent1[0]: (293) {G1,W5,D2,L1,V0,M1} R(125,7) { perp( skol20, skol28,
% 19.16/19.53 skol25, skol24 ) }.
% 19.16/19.53 substitution0:
% 19.16/19.53 X := skol20
% 19.16/19.53 Y := skol28
% 19.16/19.53 end
% 19.16/19.53 substitution1:
% 19.16/19.53 end
% 19.16/19.53
% 19.16/19.53 subsumption: (21290) {G2,W5,D2,L1,V0,M1} R(296,293) { para( skol20, skol28
% 19.16/19.53 , skol20, skol28 ) }.
% 19.16/19.53 parent0: (55605) {G2,W5,D2,L1,V0,M1} { para( skol20, skol28, skol20,
% 19.16/19.53 skol28 ) }.
% 19.16/19.53 substitution0:
% 19.16/19.53 end
% 19.16/19.53 permutation0:
% 19.16/19.53 0 ==> 0
% 19.16/19.53 end
% 19.16/19.53
% 19.16/19.53 resolution: (55606) {G2,W9,D2,L1,V2,M1} { eqangle( X, Y, skol20, skol28, X
% 19.16/19.53 , Y, skol20, skol28 ) }.
% 19.16/19.53 parent0[0]: (798) {G1,W14,D2,L2,V6,M2} R(39,18) { ! para( X, Y, Z, T ),
% 19.16/19.53 eqangle( U, W, X, Y, U, W, Z, T ) }.
% 19.16/19.53 parent1[0]: (21290) {G2,W5,D2,L1,V0,M1} R(296,293) { para( skol20, skol28,
% 19.16/19.53 skol20, skol28 ) }.
% 19.16/19.53 substitution0:
% 19.16/19.53 X := skol20
% 19.16/19.53 Y := skol28
% 19.16/19.53 Z := skol20
% 19.16/19.53 T := skol28
% 19.16/19.53 U := X
% 19.16/19.53 W := Y
% 19.16/19.53 end
% 19.16/19.53 substitution1:
% 19.16/19.53 end
% 19.16/19.53
% 19.16/19.53 subsumption: (44856) {G3,W9,D2,L1,V2,M1} R(798,21290) { eqangle( X, Y,
% 19.16/19.53 skol20, skol28, X, Y, skol20, skol28 ) }.
% 19.16/19.53 parent0: (55606) {G2,W9,D2,L1,V2,M1} { eqangle( X, Y, skol20, skol28, X, Y
% 19.16/19.53 , skol20, skol28 ) }.
% 19.16/19.53 substitution0:
% 19.16/19.53 X := X
% 19.16/19.53 Y := Y
% 19.16/19.53 end
% 19.16/19.53 permutation0:
% 19.16/19.53 0 ==> 0
% 19.16/19.53 end
% 19.16/19.53
% 19.16/19.53 resolution: (55607) {G4,W5,D2,L1,V1,M1} { cyclic( X, skol28, skol20,
% 19.16/19.53 skol20 ) }.
% 19.16/19.53 parent0[0]: (902) {G5,W14,D2,L2,V1,M2} R(42,673) { ! eqangle( skol20, X,
% 19.16/19.53 skol20, skol28, skol20, X, skol20, skol28 ), cyclic( X, skol28, skol20,
% 19.16/19.53 skol20 ) }.
% 19.16/19.53 parent1[0]: (44856) {G3,W9,D2,L1,V2,M1} R(798,21290) { eqangle( X, Y,
% 19.16/19.53 skol20, skol28, X, Y, skol20, skol28 ) }.
% 19.16/19.53 substitution0:
% 19.16/19.53 X := X
% 19.16/19.53 end
% 19.16/19.53 substitution1:
% 19.16/19.53 X := skol20
% 19.16/19.53 Y := X
% 19.16/19.53 end
% 19.16/19.53
% 19.16/19.53 subsumption: (49831) {G6,W5,D2,L1,V1,M1} S(902);r(44856) { cyclic( X,
% 19.16/19.53 skol28, skol20, skol20 ) }.
% 19.16/19.53 parent0: (55607) {G4,W5,D2,L1,V1,M1} { cyclic( X, skol28, skol20, skol20 )
% 19.16/19.53 }.
% 19.16/19.53 substitution0:
% 19.16/19.53 X := X
% 19.16/19.53 end
% 19.16/19.53 permutation0:
% 19.16/19.53 0 ==> 0
% 19.16/19.53 end
% 19.16/19.53
% 19.16/19.53 resolution: (55608) {G2,W5,D2,L1,V1,M1} { cyclic( skol28, X, skol20,
% 19.16/19.53 skol20 ) }.
% 19.16/19.53 parent0[1]: (426) {G1,W10,D2,L2,V4,M2} R(15,13) { cyclic( X, Y, Z, T ), !
% 19.16/19.53 cyclic( Y, X, T, Z ) }.
% 19.16/19.53 parent1[0]: (49831) {G6,W5,D2,L1,V1,M1} S(902);r(44856) { cyclic( X, skol28
% 19.16/19.53 , skol20, skol20 ) }.
% 19.16/19.53 substitution0:
% 19.16/19.53 X := skol28
% 19.16/19.53 Y := X
% 19.16/19.53 Z := skol20
% 19.16/19.53 T := skol20
% 19.16/19.53 end
% 19.16/19.53 substitution1:
% 19.16/19.53 X := X
% 19.16/19.53 end
% 19.16/19.53
% 19.16/19.53 subsumption: (49852) {G7,W5,D2,L1,V1,M1} R(49831,426) { cyclic( skol28, X,
% 19.16/19.53 skol20, skol20 ) }.
% 19.16/19.53 parent0: (55608) {G2,W5,D2,L1,V1,M1} { cyclic( skol28, X, skol20, skol20 )
% 19.16/19.53 }.
% 19.16/19.53 substitution0:
% 19.16/19.53 X := X
% 19.16/19.53 end
% 19.16/19.53 permutation0:
% 19.16/19.53 0 ==> 0
% 19.16/19.53 end
% 19.16/19.53
% 19.16/19.53 resolution: (55609) {G3,W5,D2,L1,V1,M1} { cyclic( skol20, X, skol20,
% 19.16/19.53 skol20 ) }.
% 19.16/19.53 parent0[0]: (459) {G2,W10,D2,L2,V4,M2} F(450) { ! cyclic( X, Y, Z, T ),
% 19.16/19.53 cyclic( Z, Y, T, T ) }.
% 19.16/19.53 parent1[0]: (49852) {G7,W5,D2,L1,V1,M1} R(49831,426) { cyclic( skol28, X,
% 19.16/19.53 skol20, skol20 ) }.
% 19.16/19.53 substitution0:
% 19.16/19.53 X := skol28
% 19.16/19.53 Y := X
% 19.16/19.53 Z := skol20
% 19.16/19.53 T := skol20
% 19.16/19.53 end
% 19.16/19.53 substitution1:
% 19.16/19.53 X := X
% 19.16/19.53 end
% 19.16/19.53
% 19.16/19.53 subsumption: (49864) {G8,W5,D2,L1,V1,M1} R(49852,459) { cyclic( skol20, X,
% 19.16/19.53 skol20, skol20 ) }.
% 19.16/19.53 parent0: (55609) {G3,W5,D2,L1,V1,M1} { cyclic( skol20, X, skol20, skol20 )
% 19.16/19.53 }.
% 19.16/19.53 substitution0:
% 19.16/19.53 X := X
% 19.16/19.53 end
% 19.16/19.53 permutation0:
% 19.16/19.53 0 ==> 0
% 19.16/19.53 end
% 19.16/19.53
% 19.16/19.53 resolution: (55610) {G2,W5,D2,L1,V1,M1} { cyclic( skol20, skol20, X,
% 19.16/19.53 skol20 ) }.
% 19.16/19.53 parent0[1]: (424) {G1,W10,D2,L2,V4,M2} R(15,14) { cyclic( X, Y, Z, T ), !
% 19.16/19.53 cyclic( Y, Z, X, T ) }.
% 19.16/19.53 parent1[0]: (49864) {G8,W5,D2,L1,V1,M1} R(49852,459) { cyclic( skol20, X,
% 19.16/19.53 skol20, skol20 ) }.
% 19.16/19.53 substitution0:
% 19.16/19.53 X := skol20
% 19.16/19.53 Y := skol20
% 19.16/19.53 Z := X
% 19.16/19.53 T := skol20
% 19.16/19.53 end
% 19.16/19.53 substitution1:
% 19.16/19.53 X := X
% 19.16/19.53 end
% 19.16/19.53
% 19.16/19.53 subsumption: (49886) {G9,W5,D2,L1,V1,M1} R(49864,424) { cyclic( skol20,
% 19.16/19.53 skol20, X, skol20 ) }.
% 19.16/19.53 parent0: (55610) {G2,W5,D2,L1,V1,M1} { cyclic( skol20, skol20, X, skol20 )
% 19.16/19.53 }.
% 19.16/19.53 substitution0:
% 19.16/19.53 X := X
% 19.16/19.53 end
% 19.16/19.53 permutation0:
% 19.16/19.53 0 ==> 0
% 19.16/19.53 end
% 19.16/19.53
% 19.16/19.53 resolution: (55611) {G2,W5,D2,L1,V1,M1} { cyclic( skol20, skol20, skol20,
% 19.16/19.53 X ) }.
% 19.16/19.53 parent0[0]: (406) {G1,W10,D2,L2,V4,M2} R(14,13) { ! cyclic( X, Y, Z, T ),
% 19.16/19.53 cyclic( X, Z, T, Y ) }.
% 19.16/19.53 parent1[0]: (49864) {G8,W5,D2,L1,V1,M1} R(49852,459) { cyclic( skol20, X,
% 19.16/19.53 skol20, skol20 ) }.
% 19.16/19.53 substitution0:
% 19.16/19.53 X := skol20
% 19.16/19.53 Y := X
% 19.16/19.53 Z := skol20
% 19.16/19.53 T := skol20
% 19.16/19.53 end
% 19.16/19.53 substitution1:
% 19.16/19.53 X := X
% 19.16/19.53 end
% 19.16/19.53
% 19.16/19.53 subsumption: (49887) {G9,W5,D2,L1,V1,M1} R(49864,406) { cyclic( skol20,
% 19.16/19.53 skol20, skol20, X ) }.
% 19.16/19.53 parent0: (55611) {G2,W5,D2,L1,V1,M1} { cyclic( skol20, skol20, skol20, X )
% 19.16/19.53 }.
% 19.16/19.53 substitution0:
% 19.16/19.53 X := X
% 19.16/19.53 end
% 19.16/19.53 permutation0:
% 19.16/19.53 0 ==> 0
% 19.16/19.53 end
% 19.16/19.53
% 19.16/19.53 resolution: (55613) {G2,W10,D2,L2,V2,M2} { ! cyclic( skol20, skol20,
% 19.16/19.53 skol20, X ), cyclic( skol20, skol20, X, Y ) }.
% 19.16/19.53 parent0[2]: (455) {G1,W15,D2,L3,V5,M3} R(16,13) { ! cyclic( X, Y, Z, T ),
% 19.16/19.53 cyclic( Y, Z, T, U ), ! cyclic( X, Y, U, Z ) }.
% 19.16/19.53 parent1[0]: (49886) {G9,W5,D2,L1,V1,M1} R(49864,424) { cyclic( skol20,
% 19.16/19.53 skol20, X, skol20 ) }.
% 19.16/19.53 substitution0:
% 19.16/19.53 X := skol20
% 19.16/19.53 Y := skol20
% 19.16/19.53 Z := skol20
% 19.16/19.53 T := X
% 19.16/19.53 U := Y
% 19.16/19.53 end
% 19.16/19.53 substitution1:
% 19.16/19.53 X := Y
% 19.16/19.53 end
% 19.16/19.53
% 19.16/19.53 resolution: (55614) {G3,W5,D2,L1,V2,M1} { cyclic( skol20, skol20, X, Y )
% 19.16/19.53 }.
% 19.16/19.53 parent0[0]: (55613) {G2,W10,D2,L2,V2,M2} { ! cyclic( skol20, skol20,
% 19.16/19.53 skol20, X ), cyclic( skol20, skol20, X, Y ) }.
% 19.16/19.53 parent1[0]: (49887) {G9,W5,D2,L1,V1,M1} R(49864,406) { cyclic( skol20,
% 19.16/19.53 skol20, skol20, X ) }.
% 19.16/19.53 substitution0:
% 19.16/19.53 X := X
% 19.16/19.53 Y := Y
% 19.16/19.53 end
% 19.16/19.53 substitution1:
% 19.16/19.53 X := X
% 19.16/19.53 end
% 19.16/19.53
% 19.16/19.53 subsumption: (49892) {G10,W5,D2,L1,V2,M1} R(49886,455);r(49887) { cyclic(
% 19.16/19.53 skol20, skol20, X, Y ) }.
% 19.16/19.53 parent0: (55614) {G3,W5,D2,L1,V2,M1} { cyclic( skol20, skol20, X, Y ) }.
% 19.16/19.53 substitution0:
% 19.16/19.53 X := X
% 19.16/19.53 Y := Y
% 19.16/19.53 end
% 19.16/19.53 permutation0:
% 19.16/19.53 0 ==> 0
% 19.16/19.53 end
% 19.16/19.53
% 19.16/19.53 resolution: (55615) {G2,W10,D2,L2,V3,M2} { cyclic( skol20, X, Y, Z ), !
% 19.16/19.53 cyclic( skol20, skol20, Z, X ) }.
% 19.16/19.53 parent0[0]: (455) {G1,W15,D2,L3,V5,M3} R(16,13) { ! cyclic( X, Y, Z, T ),
% 19.16/19.53 cyclic( Y, Z, T, U ), ! cyclic( X, Y, U, Z ) }.
% 19.16/19.53 parent1[0]: (49892) {G10,W5,D2,L1,V2,M1} R(49886,455);r(49887) { cyclic(
% 19.16/19.53 skol20, skol20, X, Y ) }.
% 19.16/19.53 substitution0:
% 19.16/19.53 X := skol20
% 19.16/19.53 Y := skol20
% 19.16/19.53 Z := X
% 19.16/19.53 T := Y
% 19.16/19.53 U := Z
% 19.16/19.53 end
% 19.16/19.53 substitution1:
% 19.16/19.53 X := X
% 19.16/19.53 Y := Y
% 19.16/19.53 end
% 19.16/19.53
% 19.16/19.53 resolution: (55617) {G3,W5,D2,L1,V3,M1} { cyclic( skol20, X, Y, Z ) }.
% 19.16/19.53 parent0[1]: (55615) {G2,W10,D2,L2,V3,M2} { cyclic( skol20, X, Y, Z ), !
% 19.16/19.53 cyclic( skol20, skol20, Z, X ) }.
% 19.16/19.53 parent1[0]: (49892) {G10,W5,D2,L1,V2,M1} R(49886,455);r(49887) { cyclic(
% 19.16/19.53 skol20, skol20, X, Y ) }.
% 19.16/19.53 substitution0:
% 19.16/19.53 X := X
% 19.16/19.53 Y := Y
% 19.16/19.53 Z := Z
% 19.16/19.53 end
% 19.16/19.53 substitution1:
% 19.16/19.53 X := Z
% 19.16/19.53 Y := X
% 19.16/19.53 end
% 19.16/19.53
% 19.16/19.53 subsumption: (49914) {G11,W5,D2,L1,V3,M1} R(49892,455);r(49892) { cyclic(
% 19.16/19.53 skol20, X, Y, Z ) }.
% 19.16/19.53 parent0: (55617) {G3,W5,D2,L1,V3,M1} { cyclic( skol20, X, Y, Z ) }.
% 19.16/19.53 substitution0:
% 19.16/19.53 X := X
% 19.16/19.53 Y := Y
% 19.16/19.53 Z := Z
% 19.16/19.53 end
% 19.16/19.53 permutation0:
% 19.16/19.53 0 ==> 0
% 19.16/19.53 end
% 19.16/19.53
% 19.16/19.53 resolution: (55618) {G2,W10,D2,L2,V4,M2} { cyclic( X, Y, Z, T ), ! cyclic
% 19.16/19.53 ( skol20, X, T, Y ) }.
% 19.16/19.53 parent0[0]: (455) {G1,W15,D2,L3,V5,M3} R(16,13) { ! cyclic( X, Y, Z, T ),
% 19.16/19.53 cyclic( Y, Z, T, U ), ! cyclic( X, Y, U, Z ) }.
% 19.16/19.53 parent1[0]: (49914) {G11,W5,D2,L1,V3,M1} R(49892,455);r(49892) { cyclic(
% 19.16/19.53 skol20, X, Y, Z ) }.
% 19.16/19.53 substitution0:
% 19.16/19.53 X := skol20
% 19.16/19.53 Y := X
% 19.16/19.53 Z := Y
% 19.16/19.53 T := Z
% 19.16/19.53 U := T
% 19.16/19.53 end
% 19.16/19.53 substitution1:
% 19.16/19.53 X := X
% 19.16/19.53 Y := Y
% 19.16/19.53 Z := Z
% 19.16/19.53 end
% 19.16/19.53
% 19.16/19.53 resolution: (55620) {G3,W5,D2,L1,V4,M1} { cyclic( X, Y, Z, T ) }.
% 19.16/19.53 parent0[1]: (55618) {G2,W10,D2,L2,V4,M2} { cyclic( X, Y, Z, T ), ! cyclic
% 19.16/19.53 ( skol20, X, T, Y ) }.
% 19.16/19.53 parent1[0]: (49914) {G11,W5,D2,L1,V3,M1} R(49892,455);r(49892) { cyclic(
% 19.16/19.53 skol20, X, Y, Z ) }.
% 19.16/19.53 substitution0:
% 19.16/19.53 X := X
% 19.16/19.53 Y := Y
% 19.16/19.53 Z := Z
% 19.16/19.53 T := T
% 19.16/19.53 end
% 19.16/19.53 substitution1:
% 19.16/19.53 X := X
% 19.16/19.53 Y := T
% 19.16/19.53 Z := Y
% 19.16/19.53 end
% 19.16/19.53
% 19.16/19.53 subsumption: (49933) {G12,W5,D2,L1,V4,M1} R(49914,455);r(49914) { cyclic( X
% 19.16/19.53 , Y, Z, T ) }.
% 19.16/19.53 parent0: (55620) {G3,W5,D2,L1,V4,M1} { cyclic( X, Y, Z, T ) }.
% 19.16/19.53 substitution0:
% 19.16/19.53 X := X
% 19.16/19.53 Y := Y
% 19.16/19.53 Z := Z
% 19.16/19.53 T := T
% 19.16/19.53 end
% 19.16/19.53 permutation0:
% 19.16/19.53 0 ==> 0
% 19.16/19.53 end
% 19.16/19.53
% 19.16/19.53 resolution: (55623) {G3,W10,D2,L2,V3,M2} { ! cyclic( X, Y, Z, Y ), cong( X
% 19.16/19.53 , Y, X, Y ) }.
% 19.16/19.53 parent0[0]: (1057) {G2,W15,D2,L3,V3,M3} F(1025) { ! cyclic( X, Y, Z, X ), !
% 19.16/19.53 cyclic( X, Y, Z, Y ), cong( X, Y, X, Y ) }.
% 19.16/19.53 parent1[0]: (49933) {G12,W5,D2,L1,V4,M1} R(49914,455);r(49914) { cyclic( X
% 19.16/19.53 , Y, Z, T ) }.
% 19.16/19.53 substitution0:
% 19.16/19.53 X := X
% 19.16/19.53 Y := Y
% 19.16/19.53 Z := Z
% 19.16/19.53 end
% 19.16/19.53 substitution1:
% 19.16/19.53 X := X
% 19.16/19.53 Y := Y
% 19.16/19.53 Z := Z
% 19.16/19.53 T := X
% 19.16/19.53 end
% 19.16/19.53
% 19.16/19.53 resolution: (55625) {G4,W5,D2,L1,V2,M1} { cong( X, Y, X, Y ) }.
% 19.16/19.53 parent0[0]: (55623) {G3,W10,D2,L2,V3,M2} { ! cyclic( X, Y, Z, Y ), cong( X
% 19.16/19.53 , Y, X, Y ) }.
% 19.16/19.53 parent1[0]: (49933) {G12,W5,D2,L1,V4,M1} R(49914,455);r(49914) { cyclic( X
% 19.16/19.53 , Y, Z, T ) }.
% 19.16/19.53 substitution0:
% 19.16/19.53 X := X
% 19.16/19.53 Y := Y
% 19.16/19.53 Z := Z
% 19.16/19.53 end
% 19.16/19.53 substitution1:
% 19.16/19.53 X := X
% 19.16/19.53 Y := Y
% 19.16/19.53 Z := Z
% 19.16/19.53 T := Y
% 19.16/19.53 end
% 19.16/19.53
% 19.16/19.53 subsumption: (54762) {G13,W5,D2,L1,V2,M1} S(1057);r(49933);r(49933) { cong
% 19.16/19.53 ( X, Y, X, Y ) }.
% 19.16/19.53 parent0: (55625) {G4,W5,D2,L1,V2,M1} { cong( X, Y, X, Y ) }.
% 19.16/19.53 substitution0:
% 19.16/19.53 X := X
% 19.16/19.53 Y := Y
% 19.16/19.53 end
% 19.16/19.53 permutation0:
% 19.16/19.53 0 ==> 0
% 19.16/19.53 end
% 19.16/19.53
% 19.16/19.53 resolution: (55626) {G1,W10,D2,L2,V3,M2} { ! cong( X, Z, X, Z ), perp( X,
% 19.16/19.53 X, Y, Z ) }.
% 19.16/19.53 parent0[0]: (56) {G0,W15,D2,L3,V4,M3} I { ! cong( X, Z, Y, Z ), ! cong( X,
% 19.16/19.53 T, Y, T ), perp( X, Y, Z, T ) }.
% 19.16/19.53 parent1[0]: (54762) {G13,W5,D2,L1,V2,M1} S(1057);r(49933);r(49933) { cong(
% 19.16/19.53 X, Y, X, Y ) }.
% 19.16/19.53 substitution0:
% 19.16/19.53 X := X
% 19.16/19.53 Y := X
% 19.16/19.53 Z := Y
% 19.16/19.53 T := Z
% 19.16/19.53 end
% 19.16/19.53 substitution1:
% 19.16/19.53 X := X
% 19.16/19.53 Y := Y
% 19.16/19.53 end
% 19.16/19.53
% 19.16/19.53 resolution: (55628) {G2,W5,D2,L1,V3,M1} { perp( X, X, Z, Y ) }.
% 19.16/19.53 parent0[0]: (55626) {G1,W10,D2,L2,V3,M2} { ! cong( X, Z, X, Z ), perp( X,
% 19.16/19.53 X, Y, Z ) }.
% 19.16/19.53 parent1[0]: (54762) {G13,W5,D2,L1,V2,M1} S(1057);r(49933);r(49933) { cong(
% 19.16/19.53 X, Y, X, Y ) }.
% 19.16/19.53 substitution0:
% 19.16/19.53 X := X
% 19.16/19.53 Y := Z
% 19.16/19.53 Z := Y
% 19.16/19.53 end
% 19.16/19.53 substitution1:
% 19.16/19.53 X := X
% 19.16/19.53 Y := Y
% 19.16/19.53 end
% 19.16/19.53
% 19.16/19.53 subsumption: (54779) {G14,W5,D2,L1,V3,M1} R(54762,56);r(54762) { perp( X, X
% 19.16/19.53 , Z, Y ) }.
% 19.16/19.53 parent0: (55628) {G2,W5,D2,L1,V3,M1} { perp( X, X, Z, Y ) }.
% 19.16/19.53 substitution0:
% 19.16/19.53 X := X
% 19.16/19.53 Y := Y
% 19.16/19.53 Z := Z
% 19.16/19.53 end
% 19.16/19.53 permutation0:
% 19.16/19.53 0 ==> 0
% 19.16/19.53 end
% 19.16/19.53
% 19.16/19.53 resolution: (55629) {G2,W10,D2,L2,V5,M2} { para( T, U, Y, Z ), ! perp( X,
% 19.16/19.53 X, T, U ) }.
% 19.16/19.53 parent0[0]: (297) {G1,W15,D2,L3,V6,M3} R(8,7) { ! perp( X, Y, Z, T ), para
% 19.16/19.53 ( U, W, Z, T ), ! perp( X, Y, U, W ) }.
% 19.16/19.53 parent1[0]: (54779) {G14,W5,D2,L1,V3,M1} R(54762,56);r(54762) { perp( X, X
% 19.16/19.53 , Z, Y ) }.
% 19.16/19.53 substitution0:
% 19.16/19.53 X := X
% 19.16/19.53 Y := X
% 19.16/19.53 Z := Y
% 19.16/19.53 T := Z
% 19.16/19.53 U := T
% 19.16/19.53 W := U
% 19.16/19.53 end
% 19.16/19.53 substitution1:
% 19.16/19.53 X := X
% 19.16/19.53 Y := Z
% 19.16/19.53 Z := Y
% 19.16/19.53 end
% 19.16/19.53
% 19.16/19.53 resolution: (55631) {G3,W5,D2,L1,V4,M1} { para( X, Y, Z, T ) }.
% 19.16/19.53 parent0[1]: (55629) {G2,W10,D2,L2,V5,M2} { para( T, U, Y, Z ), ! perp( X,
% 19.16/19.53 X, T, U ) }.
% 19.16/19.53 parent1[0]: (54779) {G14,W5,D2,L1,V3,M1} R(54762,56);r(54762) { perp( X, X
% 19.16/19.53 , Z, Y ) }.
% 19.16/19.53 substitution0:
% 19.16/19.53 X := U
% 19.16/19.53 Y := Z
% 19.16/19.53 Z := T
% 19.16/19.53 T := X
% 19.16/19.53 U := Y
% 19.16/19.53 end
% 19.16/19.53 substitution1:
% 19.16/19.53 X := U
% 19.16/19.53 Y := Y
% 19.16/19.53 Z := X
% 19.16/19.53 end
% 19.16/19.53
% 19.16/19.53 subsumption: (54816) {G15,W5,D2,L1,V4,M1} R(54779,297);r(54779) { para( X,
% 19.16/19.53 Y, Z, T ) }.
% 19.16/19.53 parent0: (55631) {G3,W5,D2,L1,V4,M1} { para( X, Y, Z, T ) }.
% 19.16/19.53 substitution0:
% 19.16/19.53 X := X
% 19.16/19.53 Y := Y
% 19.16/19.53 Z := Z
% 19.16/19.53 T := T
% 19.16/19.53 end
% 19.16/19.53 permutation0:
% 19.16/19.53 0 ==> 0
% 19.16/19.53 end
% 19.16/19.53
% 19.16/19.53 resolution: (55632) {G2,W9,D2,L1,V6,M1} { eqangle( X, Y, Z, T, U, W, Z, T
% 19.16/19.53 ) }.
% 19.16/19.53 parent0[1]: (802) {G1,W14,D2,L2,V6,M2} R(39,3) { eqangle( X, Y, Z, T, U, W
% 19.16/19.53 , Z, T ), ! para( X, Y, W, U ) }.
% 19.16/19.53 parent1[0]: (54816) {G15,W5,D2,L1,V4,M1} R(54779,297);r(54779) { para( X, Y
% 19.16/19.53 , Z, T ) }.
% 19.16/19.53 substitution0:
% 19.16/19.53 X := X
% 19.16/19.53 Y := Y
% 19.16/19.53 Z := Z
% 19.16/19.53 T := T
% 19.16/19.53 U := U
% 19.16/19.53 W := W
% 19.16/19.53 end
% 19.16/19.53 substitution1:
% 19.16/19.53 X := X
% 19.16/19.53 Y := Y
% 19.16/19.53 Z := W
% 19.16/19.53 T := U
% 19.16/19.53 end
% 19.16/19.53
% 19.16/19.53 subsumption: (54900) {G16,W9,D2,L1,V6,M1} R(54816,802) { eqangle( X, Y, Z,
% 19.16/19.53 T, U, W, Z, T ) }.
% 19.16/19.53 parent0: (55632) {G2,W9,D2,L1,V6,M1} { eqangle( X, Y, Z, T, U, W, Z, T )
% 19.16/19.53 }.
% 19.16/19.53 substitution0:
% 19.16/19.53 X := X
% 19.16/19.53 Y := Y
% 19.16/19.53 Z := Z
% 19.16/19.53 T := T
% 19.16/19.53 U := U
% 19.16/19.53 W := W
% 19.16/19.53 end
% 19.16/19.53 permutation0:
% 19.16/19.53 0 ==> 0
% 19.16/19.53 end
% 19.16/19.53
% 19.16/19.53 resolution: (55633) {G2,W9,D2,L1,V6,M1} { eqangle( Z, T, Z, T, X, Y, U, W
% 19.16/19.53 ) }.
% 19.16/19.53 parent0[0]: (531) {G1,W18,D2,L2,V8,M2} R(20,19) { ! eqangle( X, Y, Z, T, U
% 19.16/19.53 , W, V0, V1 ), eqangle( Z, T, V0, V1, X, Y, U, W ) }.
% 19.16/19.53 parent1[0]: (54900) {G16,W9,D2,L1,V6,M1} R(54816,802) { eqangle( X, Y, Z, T
% 19.16/19.53 , U, W, Z, T ) }.
% 19.16/19.53 substitution0:
% 19.16/19.53 X := X
% 19.16/19.53 Y := Y
% 19.16/19.53 Z := Z
% 19.16/19.53 T := T
% 19.16/19.53 U := U
% 19.16/19.53 W := W
% 19.16/19.53 V0 := Z
% 19.16/19.53 V1 := T
% 19.16/19.53 end
% 19.16/19.53 substitution1:
% 19.16/19.53 X := X
% 19.16/19.53 Y := Y
% 19.16/19.53 Z := Z
% 19.16/19.53 T := T
% 19.16/19.53 U := U
% 19.16/19.53 W := W
% 19.16/19.53 end
% 19.16/19.53
% 19.16/19.53 subsumption: (55110) {G17,W9,D2,L1,V6,M1} R(54900,531) { eqangle( X, Y, X,
% 19.16/19.53 Y, Z, T, U, W ) }.
% 19.16/19.53 parent0: (55633) {G2,W9,D2,L1,V6,M1} { eqangle( Z, T, Z, T, X, Y, U, W )
% 19.16/19.53 }.
% 19.16/19.53 substitution0:
% 19.16/19.53 X := Z
% 19.16/19.53 Y := T
% 19.16/19.53 Z := X
% 19.16/19.53 T := Y
% 19.16/19.53 U := U
% 19.16/19.53 W := W
% 19.16/19.53 end
% 19.16/19.53 permutation0:
% 19.16/19.53 0 ==> 0
% 19.16/19.53 end
% 19.16/19.53
% 19.16/19.53 resolution: (55634) {G2,W14,D2,L2,V8,M2} { ! para( X, Y, Z, T ), eqangle(
% 19.16/19.53 X, Y, Z, T, U, W, V0, V1 ) }.
% 19.16/19.53 parent0[1]: (794) {G1,W23,D2,L3,V10,M3} R(39,21) { ! para( X, Y, Z, T ), !
% 19.16/19.53 eqangle( Z, T, U, W, V0, V1, V2, V3 ), eqangle( X, Y, U, W, V0, V1, V2,
% 19.16/19.53 V3 ) }.
% 19.16/19.53 parent1[0]: (55110) {G17,W9,D2,L1,V6,M1} R(54900,531) { eqangle( X, Y, X, Y
% 19.16/19.53 , Z, T, U, W ) }.
% 19.16/19.53 substitution0:
% 19.16/19.53 X := X
% 19.16/19.53 Y := Y
% 19.16/19.53 Z := Z
% 19.16/19.53 T := T
% 19.16/19.53 U := Z
% 19.16/19.53 W := T
% 19.16/19.53 V0 := U
% 19.16/19.53 V1 := W
% 19.16/19.53 V2 := V0
% 19.16/19.53 V3 := V1
% 19.16/19.53 end
% 19.16/19.53 substitution1:
% 19.16/19.53 X := Z
% 19.16/19.53 Y := T
% 19.16/19.53 Z := U
% 19.16/19.53 T := W
% 19.16/19.53 U := V0
% 19.16/19.53 W := V1
% 19.16/19.53 end
% 19.16/19.53
% 19.16/19.53 resolution: (55635) {G3,W9,D2,L1,V8,M1} { eqangle( X, Y, Z, T, U, W, V0,
% 19.16/19.53 V1 ) }.
% 19.16/19.53 parent0[0]: (55634) {G2,W14,D2,L2,V8,M2} { ! para( X, Y, Z, T ), eqangle(
% 19.16/19.53 X, Y, Z, T, U, W, V0, V1 ) }.
% 19.16/19.53 parent1[0]: (54816) {G15,W5,D2,L1,V4,M1} R(54779,297);r(54779) { para( X, Y
% 19.16/19.53 , Z, T ) }.
% 19.16/19.53 substitution0:
% 19.16/19.53 X := X
% 19.16/19.53 Y := Y
% 19.16/19.53 Z := Z
% 19.16/19.53 T := T
% 19.16/19.53 U := U
% 19.16/19.53 W := W
% 19.16/19.53 V0 := V0
% 19.16/19.53 V1 := V1
% 19.16/19.53 end
% 19.16/19.53 substitution1:
% 19.16/19.53 X := X
% 19.16/19.53 Y := Y
% 19.16/19.53 Z := Z
% 19.16/19.53 T := T
% 19.16/19.53 end
% 19.16/19.53
% 19.16/19.53 subsumption: (55112) {G18,W9,D2,L1,V8,M1} R(55110,794);r(54816) { eqangle(
% 19.16/19.53 X, Y, Z, T, U, W, V0, V1 ) }.
% 19.16/19.53 parent0: (55635) {G3,W9,D2,L1,V8,M1} { eqangle( X, Y, Z, T, U, W, V0, V1 )
% 19.16/19.53 }.
% 19.16/19.53 substitution0:
% 19.16/19.53 X := X
% 19.16/19.53 Y := Y
% 19.16/19.53 Z := Z
% 19.16/19.53 T := T
% 19.16/19.53 U := U
% 19.16/19.53 W := W
% 19.16/19.53 V0 := V0
% 19.16/19.53 V1 := V1
% 19.16/19.53 end
% 19.16/19.53 permutation0:
% 19.16/19.53 0 ==> 0
% 19.16/19.53 end
% 19.16/19.53
% 19.16/19.53 resolution: (55636) {G1,W0,D0,L0,V0,M0} { }.
% 19.16/19.53 parent0[0]: (129) {G0,W9,D2,L1,V0,M1} I { ! eqangle( skol22, skol20, skol20
% 19.16/19.53 , skol24, skol25, skol26, skol26, skol23 ) }.
% 19.16/19.53 parent1[0]: (55112) {G18,W9,D2,L1,V8,M1} R(55110,794);r(54816) { eqangle( X
% 19.16/19.53 , Y, Z, T, U, W, V0, V1 ) }.
% 19.16/19.53 substitution0:
% 19.16/19.53 end
% 19.16/19.53 substitution1:
% 19.16/19.53 X := skol22
% 19.16/19.53 Y := skol20
% 19.16/19.53 Z := skol20
% 19.16/19.53 T := skol24
% 19.16/19.53 U := skol25
% 19.16/19.53 W := skol26
% 19.16/19.53 V0 := skol26
% 19.16/19.53 V1 := skol23
% 19.16/19.53 end
% 19.16/19.53
% 19.16/19.53 subsumption: (55113) {G19,W0,D0,L0,V0,M0} R(55112,129) { }.
% 19.16/19.53 parent0: (55636) {G1,W0,D0,L0,V0,M0} { }.
% 19.16/19.53 substitution0:
% 19.16/19.53 end
% 19.16/19.53 permutation0:
% 19.16/19.53 end
% 19.16/19.53
% 19.16/19.53 Proof check complete!
% 19.16/19.53
% 19.16/19.53 Memory use:
% 19.16/19.53
% 19.16/19.53 space for terms: 749709
% 19.16/19.53 space for clauses: 2591727
% 19.16/19.53
% 19.16/19.53
% 19.16/19.53 clauses generated: 421199
% 19.16/19.53 clauses kept: 55114
% 19.16/19.53 clauses selected: 3873
% 19.16/19.53 clauses deleted: 11716
% 19.16/19.53 clauses inuse deleted: 277
% 19.16/19.53
% 19.16/19.53 subsentry: 10669422
% 19.16/19.53 literals s-matched: 5907636
% 19.16/19.53 literals matched: 2993549
% 19.16/19.53 full subsumption: 1259562
% 19.16/19.53
% 19.16/19.53 checksum: 1672233761
% 19.16/19.53
% 19.16/19.53
% 19.16/19.53 Bliksem ended
%------------------------------------------------------------------------------