%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : GEO618+1 : TPTP v8.1.0. Released v7.5.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n020.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 0s
% DateTime : Sat Jul 16 02:55:08 EDT 2022
% Result : Theorem 30.31s 30.72s
% Output : Refutation 30.31s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : GEO618+1 : TPTP v8.1.0. Released v7.5.0.
% 0.07/0.13 % Command : bliksem %s
% 0.13/0.34 % Computer : n020.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % DateTime : Sat Jun 18 06:54:49 EDT 2022
% 0.13/0.35 % CPUTime :
% 0.75/1.15 *** allocated 10000 integers for termspace/termends
% 0.75/1.15 *** allocated 10000 integers for clauses
% 0.75/1.15 *** allocated 10000 integers for justifications
% 0.75/1.15 Bliksem 1.12
% 0.75/1.15
% 0.75/1.15
% 0.75/1.15 Automatic Strategy Selection
% 0.75/1.15
% 0.75/1.15 *** allocated 15000 integers for termspace/termends
% 0.75/1.15
% 0.75/1.15 Clauses:
% 0.75/1.15
% 0.75/1.15 { ! coll( X, Y, Z ), coll( X, Z, Y ) }.
% 0.75/1.15 { ! coll( X, Y, Z ), coll( Y, X, Z ) }.
% 0.75/1.15 { ! coll( X, T, Y ), ! coll( X, T, Z ), coll( Y, Z, X ) }.
% 0.75/1.15 { ! para( X, Y, Z, T ), para( X, Y, T, Z ) }.
% 0.75/1.15 { ! para( X, Y, Z, T ), para( Z, T, X, Y ) }.
% 0.75/1.15 { ! para( X, Y, U, W ), ! para( U, W, Z, T ), para( X, Y, Z, T ) }.
% 0.75/1.15 { ! perp( X, Y, Z, T ), perp( X, Y, T, Z ) }.
% 0.75/1.15 { ! perp( X, Y, Z, T ), perp( Z, T, X, Y ) }.
% 0.75/1.15 { ! perp( X, Y, U, W ), ! perp( U, W, Z, T ), para( X, Y, Z, T ) }.
% 0.75/1.15 { ! para( X, Y, U, W ), ! perp( U, W, Z, T ), perp( X, Y, Z, T ) }.
% 0.75/1.15 { ! midp( Z, Y, X ), midp( Z, X, Y ) }.
% 0.75/1.15 { ! cong( T, X, T, Y ), ! cong( T, X, T, Z ), circle( T, X, Y, Z ) }.
% 0.75/1.15 { ! cong( U, X, U, Y ), ! cong( U, X, U, Z ), ! cong( U, X, U, T ), cyclic
% 0.75/1.15 ( X, Y, Z, T ) }.
% 0.75/1.15 { ! cyclic( X, Y, Z, T ), cyclic( X, Y, T, Z ) }.
% 0.75/1.15 { ! cyclic( X, Y, Z, T ), cyclic( X, Z, Y, T ) }.
% 0.75/1.15 { ! cyclic( X, Y, Z, T ), cyclic( Y, X, Z, T ) }.
% 0.75/1.15 { ! cyclic( U, X, Y, Z ), ! cyclic( U, X, Y, T ), cyclic( X, Y, Z, T ) }.
% 0.75/1.15 { ! eqangle( X, Y, Z, T, U, W, V0, V1 ), eqangle( Y, X, Z, T, U, W, V0, V1
% 0.75/1.15 ) }.
% 0.75/1.15 { ! eqangle( X, Y, Z, T, U, W, V0, V1 ), eqangle( Z, T, X, Y, V0, V1, U, W
% 0.75/1.15 ) }.
% 0.75/1.15 { ! eqangle( X, Y, Z, T, U, W, V0, V1 ), eqangle( U, W, V0, V1, X, Y, Z, T
% 0.75/1.15 ) }.
% 0.75/1.15 { ! eqangle( X, Y, Z, T, U, W, V0, V1 ), eqangle( X, Y, U, W, Z, T, V0, V1
% 0.75/1.15 ) }.
% 0.75/1.15 { ! eqangle( X, Y, Z, T, V2, V3, V4, V5 ), ! eqangle( V2, V3, V4, V5, U, W
% 0.75/1.15 , V0, V1 ), eqangle( X, Y, Z, T, U, W, V0, V1 ) }.
% 0.75/1.15 { ! cong( X, Y, Z, T ), cong( X, Y, T, Z ) }.
% 0.75/1.15 { ! cong( X, Y, Z, T ), cong( Z, T, X, Y ) }.
% 0.75/1.15 { ! cong( X, Y, U, W ), ! cong( U, W, Z, T ), cong( X, Y, Z, T ) }.
% 0.75/1.15 { ! eqratio( X, Y, Z, T, U, W, V0, V1 ), eqratio( Y, X, Z, T, U, W, V0, V1
% 0.75/1.15 ) }.
% 0.75/1.15 { ! eqratio( X, Y, Z, T, U, W, V0, V1 ), eqratio( Z, T, X, Y, V0, V1, U, W
% 0.75/1.15 ) }.
% 0.75/1.15 { ! eqratio( X, Y, Z, T, U, W, V0, V1 ), eqratio( U, W, V0, V1, X, Y, Z, T
% 0.75/1.15 ) }.
% 0.75/1.15 { ! eqratio( X, Y, Z, T, U, W, V0, V1 ), eqratio( X, Y, U, W, Z, T, V0, V1
% 0.75/1.15 ) }.
% 0.75/1.15 { ! eqratio( X, Y, Z, T, V2, V3, V4, V5 ), ! eqratio( V2, V3, V4, V5, U, W
% 0.75/1.15 , V0, V1 ), eqratio( X, Y, Z, T, U, W, V0, V1 ) }.
% 0.75/1.15 { ! simtri( X, Z, Y, T, W, U ), simtri( X, Y, Z, T, U, W ) }.
% 0.75/1.15 { ! simtri( Y, X, Z, U, T, W ), simtri( X, Y, Z, T, U, W ) }.
% 0.75/1.15 { ! simtri( T, U, W, X, Y, Z ), simtri( X, Y, Z, T, U, W ) }.
% 0.75/1.15 { ! simtri( X, Y, Z, V0, V1, V2 ), ! simtri( V0, V1, V2, T, U, W ), simtri
% 0.75/1.15 ( X, Y, Z, T, U, W ) }.
% 0.75/1.15 { ! contri( X, Z, Y, T, W, U ), contri( X, Y, Z, T, U, W ) }.
% 0.75/1.15 { ! contri( Y, X, Z, U, T, W ), contri( X, Y, Z, T, U, W ) }.
% 0.75/1.15 { ! contri( T, U, W, X, Y, Z ), contri( X, Y, Z, T, U, W ) }.
% 0.75/1.15 { ! contri( X, Y, Z, V0, V1, V2 ), ! contri( V0, V1, V2, T, U, W ), contri
% 0.75/1.15 ( X, Y, Z, T, U, W ) }.
% 0.75/1.15 { ! eqangle( X, Y, U, W, Z, T, U, W ), para( X, Y, Z, T ) }.
% 0.75/1.15 { ! para( X, Y, Z, T ), eqangle( X, Y, U, W, Z, T, U, W ) }.
% 0.75/1.15 { ! cyclic( X, Y, Z, T ), eqangle( Z, X, Z, Y, T, X, T, Y ) }.
% 0.75/1.15 { ! eqangle( Z, X, Z, Y, T, X, T, Y ), coll( Z, T, X ), cyclic( X, Y, Z, T
% 0.75/1.15 ) }.
% 0.75/1.15 { ! eqangle( Z, X, Z, Y, T, X, T, Y ), ! coll( Z, T, Y ), cyclic( X, Y, Z,
% 0.75/1.15 T ) }.
% 0.75/1.15 { ! cyclic( X, Y, U, Z ), ! cyclic( X, Y, U, T ), ! cyclic( X, Y, U, W ), !
% 0.75/1.15 eqangle( U, X, U, Y, W, Z, W, T ), cong( X, Y, Z, T ) }.
% 0.75/1.15 { ! midp( Z, U, X ), ! midp( T, U, Y ), para( Z, T, X, Y ) }.
% 0.75/1.15 { ! midp( U, X, T ), ! para( U, Z, T, Y ), ! coll( Z, X, Y ), midp( Z, X, Y
% 0.75/1.15 ) }.
% 0.75/1.15 { ! cong( Z, X, Z, Y ), eqangle( Z, X, X, Y, X, Y, Z, Y ) }.
% 0.75/1.15 { ! eqangle( Z, X, X, Y, X, Y, Z, Y ), coll( Z, X, Y ), cong( Z, X, Z, Y )
% 0.75/1.15 }.
% 0.75/1.15 { ! circle( U, X, Y, Z ), ! perp( U, X, X, T ), eqangle( X, T, X, Y, Z, X,
% 0.75/1.15 Z, Y ) }.
% 0.75/1.15 { ! circle( Y, X, T, U ), ! eqangle( X, Z, X, T, U, X, U, T ), perp( Y, X,
% 0.75/1.15 X, Z ) }.
% 0.75/1.15 { ! circle( T, X, Y, Z ), ! midp( U, Y, Z ), eqangle( X, Y, X, Z, T, Y, T,
% 0.75/1.15 U ) }.
% 0.75/1.15 { ! circle( U, T, X, Y ), ! coll( Z, X, Y ), ! eqangle( T, X, T, Y, U, X, U
% 0.75/1.15 , Z ), midp( Z, X, Y ) }.
% 0.75/1.15 { ! perp( X, Y, Y, T ), ! midp( Z, X, T ), cong( X, Z, Y, Z ) }.
% 0.75/1.15 { ! circle( T, X, Y, Z ), ! coll( T, X, Z ), perp( X, Y, Y, Z ) }.
% 0.75/1.15 { ! cyclic( X, Y, Z, T ), ! para( X, Y, Z, T ), eqangle( X, T, Z, T, Z, T,
% 0.75/1.15 Z, Y ) }.
% 0.75/1.15 { ! midp( T, X, Y ), ! perp( Z, T, X, Y ), cong( Z, X, Z, Y ) }.
% 0.75/1.15 { ! cong( X, Z, Y, Z ), ! cong( X, T, Y, T ), perp( X, Y, Z, T ) }.
% 0.75/1.15 { ! cong( X, Y, T, Y ), ! cong( X, Z, T, Z ), ! cyclic( X, T, Y, Z ), perp
% 0.75/1.15 ( Y, X, X, Z ) }.
% 0.75/1.15 { ! eqangle( X, Y, Y, Z, T, U, U, W ), ! eqangle( X, Z, Y, Z, T, W, U, W )
% 0.75/1.15 , coll( X, Y, Z ), simtri( X, Y, Z, T, U, W ) }.
% 0.75/1.15 { ! simtri( X, Y, Z, T, U, W ), eqratio( X, Y, X, Z, T, U, T, W ) }.
% 0.75/1.15 { ! simtri( X, Y, Z, T, U, W ), eqangle( X, Y, Y, Z, T, U, U, W ) }.
% 0.75/1.15 { ! simtri( X, Y, Z, T, U, W ), ! cong( X, Y, T, U ), contri( X, Y, Z, T, U
% 0.75/1.15 , W ) }.
% 0.75/1.15 { ! contri( X, Y, U, Z, T, W ), cong( X, Y, Z, T ) }.
% 0.75/1.15 { ! midp( U, X, Y ), ! midp( U, Z, T ), para( X, Z, Y, T ) }.
% 0.75/1.15 { ! midp( Z, T, U ), ! para( T, X, U, Y ), ! para( T, Y, U, X ), midp( Z, X
% 0.75/1.15 , Y ) }.
% 0.75/1.15 { ! para( X, Y, Z, T ), ! coll( U, X, Z ), ! coll( U, Y, T ), eqratio( U, X
% 0.75/1.15 , X, Z, U, Y, Y, T ) }.
% 0.75/1.15 { ! para( X, Y, X, Z ), coll( X, Y, Z ) }.
% 0.75/1.15 { ! cong( X, Y, X, Z ), ! coll( X, Y, Z ), midp( X, Y, Z ) }.
% 0.75/1.15 { ! midp( X, Y, Z ), cong( X, Y, X, Z ) }.
% 0.75/1.15 { ! midp( X, Y, Z ), coll( X, Y, Z ) }.
% 0.75/1.15 { ! midp( U, X, Y ), ! midp( W, Z, T ), eqratio( U, X, X, Y, W, Z, Z, T ) }
% 0.75/1.15 .
% 0.75/1.15 { ! eqangle( X, Y, Z, T, Z, T, X, Y ), para( X, Y, Z, T ), perp( X, Y, Z, T
% 0.75/1.15 ) }.
% 0.75/1.15 { ! eqangle( X, Y, Z, T, Z, T, X, Y ), perp( X, Y, Z, T ), para( X, Y, Z, T
% 0.75/1.15 ) }.
% 0.75/1.15 { ! eqangle( X, Y, Z, T, U, W, V0, V1 ), ! para( U, W, V0, V1 ), para( X, Y
% 0.75/1.15 , Z, T ) }.
% 0.75/1.15 { ! eqangle( X, Y, Z, T, U, W, V0, V1 ), ! perp( U, W, V0, V1 ), perp( X, Y
% 0.75/1.15 , Z, T ) }.
% 0.75/1.15 { ! eqratio( X, Y, Z, T, U, W, V0, V1 ), ! cong( U, W, V0, V1 ), cong( X, Y
% 0.75/1.15 , Z, T ) }.
% 0.75/1.15 { ! perp( Z, Y, Y, X ), ! eqangle( T, Z, Y, Z, Y, Z, X, Z ), coll( skol1( U
% 0.75/1.15 , W, Z, T ), Z, T ) }.
% 0.75/1.15 { ! perp( Z, Y, Y, X ), ! eqangle( T, Z, Y, Z, Y, Z, X, Z ), coll( skol1( X
% 0.75/1.15 , Y, Z, T ), X, Y ) }.
% 0.75/1.15 { ! cong( Z, X, Z, Y ), ! eqangle( X, Z, Z, T, Z, T, Z, Y ), coll( skol2( U
% 0.75/1.15 , W, Z, T ), Z, T ) }.
% 0.75/1.15 { ! cong( Z, X, Z, Y ), ! eqangle( X, Z, Z, T, Z, T, Z, Y ), coll( Y, X,
% 0.75/1.15 skol2( X, Y, Z, T ) ) }.
% 0.75/1.15 { ! perp( Z, T, X, Y ), ! eqangle( X, Z, Z, T, Z, T, Z, Y ), coll( skol3( U
% 0.75/1.15 , W, Z, T ), Z, T ) }.
% 0.75/1.15 { ! perp( Z, T, X, Y ), ! eqangle( X, Z, Z, T, Z, T, Z, Y ), coll( Y, X,
% 0.75/1.15 skol3( X, Y, Z, T ) ) }.
% 0.75/1.15 { ! perp( Z, T, X, Y ), ! cong( Z, X, Z, Y ), coll( skol4( U, W, Z, T ), Z
% 0.75/1.15 , T ) }.
% 0.75/1.15 { ! perp( Z, T, X, Y ), ! cong( Z, X, Z, Y ), coll( Y, X, skol4( X, Y, Z, T
% 0.75/1.15 ) ) }.
% 0.75/1.15 { ! eqangle( X, Z, Y, Z, X, T, Y, U ), coll( X, Y, Z ), cyclic( T, Y, Z,
% 0.75/1.15 skol5( W, Y, Z, T ) ) }.
% 0.75/1.15 { ! eqangle( X, Z, Y, Z, X, T, Y, U ), coll( X, Y, Z ), eqangle( X, Z, Y, Z
% 0.75/1.15 , X, skol5( X, Y, Z, T ), Y, skol5( X, Y, Z, T ) ) }.
% 0.75/1.15 { ! midp( U, X, Y ), ! midp( W, Z, T ), midp( skol6( X, V0, V1, T, V2, V3 )
% 0.75/1.15 , X, T ) }.
% 0.75/1.15 { ! midp( U, X, Y ), ! midp( W, Z, T ), para( skol6( X, V0, Z, T, V1, W ),
% 0.75/1.15 W, X, Z ) }.
% 0.75/1.15 { ! midp( U, X, Y ), ! midp( W, Z, T ), para( skol6( X, Y, Z, T, U, W ), U
% 0.75/1.15 , Y, T ) }.
% 0.75/1.15 { ! midp( Z, X, Y ), ! midp( W, T, U ), ! coll( T, X, Y ), ! coll( U, X, Y
% 0.75/1.15 ), midp( skol7( X, V0 ), X, V0 ) }.
% 0.75/1.15 { ! midp( T, X, U ), ! para( X, W, Z, T ), ! para( X, W, U, Y ), ! coll( W
% 0.75/1.15 , Y, Z ), coll( skol8( V0, V1, Z, T ), T, Z ) }.
% 0.75/1.15 { ! midp( T, X, U ), ! para( X, W, Z, T ), ! para( X, W, U, Y ), ! coll( W
% 0.75/1.15 , Y, Z ), coll( skol8( X, Y, Z, T ), X, Y ) }.
% 0.75/1.15 { ! cong( T, Z, T, U ), ! perp( X, Y, Y, T ), cong( T, Z, T, skol9( W, V0,
% 0.75/1.15 Z, T ) ) }.
% 0.75/1.15 { ! cong( T, Z, T, U ), ! perp( X, Y, Y, T ), cong( Y, Z, Y, skol9( W, Y, Z
% 0.75/1.15 , T ) ) }.
% 0.75/1.15 { ! cong( T, Z, T, U ), ! perp( X, Y, Y, T ), para( skol9( X, Y, Z, T ), Z
% 0.75/1.15 , X, Y ) }.
% 0.75/1.15 { ! perp( X, T, Y, Z ), ! perp( Y, T, X, Z ), coll( skol10( U, Y, Z ), Z, Y
% 0.75/1.15 ) }.
% 0.75/1.15 { ! perp( X, T, Y, Z ), ! perp( Y, T, X, Z ), perp( X, skol10( X, Y, Z ), Z
% 0.75/1.15 , Y ) }.
% 0.75/1.15 { ! perp( X, T, Y, Z ), ! perp( Y, T, X, Z ), alpha1( X, Y, Z ) }.
% 0.75/1.15 { ! alpha1( X, Y, Z ), coll( skol11( X, T, Z ), Z, X ) }.
% 0.75/1.15 { ! alpha1( X, Y, Z ), perp( Y, skol11( X, Y, Z ), Z, X ) }.
% 0.75/1.15 { ! coll( T, Z, X ), ! perp( Y, T, Z, X ), alpha1( X, Y, Z ) }.
% 0.75/1.15 { ! circle( Y, X, Z, T ), perp( skol12( X, Y ), X, X, Y ) }.
% 5.70/6.13 { ! circle( W, X, Y, Z ), ! cong( W, X, W, T ), ! cong( U, X, U, Y ), W = U
% 5.70/6.13 , alpha2( X, Z, U, skol13( X, V0, Z, V1, U ) ) }.
% 5.70/6.13 { ! circle( W, X, Y, Z ), ! cong( W, X, W, T ), ! cong( U, X, U, Y ), W = U
% 5.70/6.13 , coll( skol21( V0, Y, T, V1 ), Y, T ) }.
% 5.70/6.13 { ! circle( W, X, Y, Z ), ! cong( W, X, W, T ), ! cong( U, X, U, Y ), W = U
% 5.70/6.13 , cong( skol21( X, Y, T, U ), U, U, X ) }.
% 5.70/6.13 { ! alpha2( X, Y, Z, T ), coll( T, X, Y ) }.
% 5.70/6.13 { ! alpha2( X, Y, Z, T ), cong( T, Z, Z, X ) }.
% 5.70/6.13 { ! coll( T, X, Y ), ! cong( T, Z, Z, X ), alpha2( X, Y, Z, T ) }.
% 5.70/6.13 { ! cyclic( X, Y, Z, T ), ! para( X, Y, Z, T ), ! midp( U, X, Y ), circle(
% 5.70/6.13 skol14( X, Y, Z ), X, Y, Z ) }.
% 5.70/6.13 { ! perp( X, Z, Z, Y ), ! cyclic( X, Y, Z, T ), circle( skol15( X, Y, Z ),
% 5.70/6.13 X, Y, Z ) }.
% 5.70/6.13 { ! perp( X, U, U, T ), ! coll( T, Y, Z ), coll( skol16( W, Y, Z ), Y, Z )
% 5.70/6.13 }.
% 5.70/6.13 { ! perp( X, U, U, T ), ! coll( T, Y, Z ), perp( skol16( X, Y, Z ), X, Y, Z
% 5.70/6.13 ) }.
% 5.70/6.13 { ! perp( X, Z, X, Y ), ! perp( Y, X, Y, T ), ! midp( U, Z, T ), midp(
% 5.70/6.13 skol17( X, Y ), X, Y ) }.
% 5.70/6.13 { ! cong( Y, X, Y, Z ), ! perp( X, Y, Y, Z ), coll( X, Y, skol18( X, Y ) )
% 5.70/6.13 }.
% 5.70/6.13 { ! cong( Y, X, Y, Z ), ! perp( X, Y, Y, Z ), cong( Y, X, Y, skol18( X, Y )
% 5.70/6.13 ) }.
% 5.70/6.13 { ! para( U, W, X, Y ), ! coll( Z, U, X ), ! coll( Z, W, Y ), ! coll( T, U
% 5.70/6.13 , W ), coll( Z, T, skol19( V0, V1, Z, T ) ) }.
% 5.70/6.13 { ! para( U, W, X, Y ), ! coll( Z, U, X ), ! coll( Z, W, Y ), ! coll( T, U
% 5.70/6.13 , W ), coll( skol19( X, Y, Z, T ), X, Y ) }.
% 5.70/6.13 { eqangle( skol22, skol20, skol20, skol25, skol22, skol20, skol20, skol24 )
% 5.70/6.13 }.
% 5.70/6.13 { coll( skol22, skol24, skol25 ) }.
% 5.70/6.13 { circle( skol26, skol20, skol24, skol25 ) }.
% 5.70/6.13 { perp( skol20, skol26, skol20, skol23 ) }.
% 5.70/6.13 { coll( skol23, skol24, skol25 ) }.
% 5.70/6.13 { ! cong( skol23, skol20, skol23, skol22 ) }.
% 5.70/6.13
% 5.70/6.13 percentage equality = 0.008824, percentage horn = 0.926230
% 5.70/6.13 This is a problem with some equality
% 5.70/6.13
% 5.70/6.13
% 5.70/6.13
% 5.70/6.13 Options Used:
% 5.70/6.13
% 5.70/6.13 useres = 1
% 5.70/6.13 useparamod = 1
% 5.70/6.13 useeqrefl = 1
% 5.70/6.13 useeqfact = 1
% 5.70/6.13 usefactor = 1
% 5.70/6.13 usesimpsplitting = 0
% 5.70/6.13 usesimpdemod = 5
% 5.70/6.13 usesimpres = 3
% 5.70/6.13
% 5.70/6.13 resimpinuse = 1000
% 5.70/6.13 resimpclauses = 20000
% 5.70/6.13 substype = eqrewr
% 5.70/6.13 backwardsubs = 1
% 5.70/6.13 selectoldest = 5
% 5.70/6.13
% 5.70/6.13 litorderings [0] = split
% 5.70/6.13 litorderings [1] = extend the termordering, first sorting on arguments
% 5.70/6.13
% 5.70/6.13 termordering = kbo
% 5.70/6.13
% 5.70/6.13 litapriori = 0
% 5.70/6.13 termapriori = 1
% 5.70/6.13 litaposteriori = 0
% 5.70/6.13 termaposteriori = 0
% 5.70/6.13 demodaposteriori = 0
% 5.70/6.13 ordereqreflfact = 0
% 5.70/6.13
% 5.70/6.13 litselect = negord
% 5.70/6.13
% 5.70/6.13 maxweight = 15
% 5.70/6.13 maxdepth = 30000
% 5.70/6.13 maxlength = 115
% 5.70/6.13 maxnrvars = 195
% 5.70/6.13 excuselevel = 1
% 5.70/6.13 increasemaxweight = 1
% 5.70/6.13
% 5.70/6.13 maxselected = 10000000
% 5.70/6.13 maxnrclauses = 10000000
% 5.70/6.13
% 5.70/6.13 showgenerated = 0
% 5.70/6.13 showkept = 0
% 5.70/6.13 showselected = 0
% 5.70/6.13 showdeleted = 0
% 5.70/6.13 showresimp = 1
% 5.70/6.13 showstatus = 2000
% 5.70/6.13
% 5.70/6.13 prologoutput = 0
% 5.70/6.13 nrgoals = 5000000
% 5.70/6.13 totalproof = 1
% 5.70/6.13
% 5.70/6.13 Symbols occurring in the translation:
% 5.70/6.13
% 5.70/6.13 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 5.70/6.13 . [1, 2] (w:1, o:36, a:1, s:1, b:0),
% 5.70/6.13 ! [4, 1] (w:0, o:31, a:1, s:1, b:0),
% 5.70/6.13 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 5.70/6.13 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 5.70/6.13 coll [38, 3] (w:1, o:64, a:1, s:1, b:0),
% 5.70/6.13 para [40, 4] (w:1, o:72, a:1, s:1, b:0),
% 5.70/6.13 perp [43, 4] (w:1, o:73, a:1, s:1, b:0),
% 5.70/6.13 midp [45, 3] (w:1, o:65, a:1, s:1, b:0),
% 5.70/6.13 cong [47, 4] (w:1, o:74, a:1, s:1, b:0),
% 5.70/6.13 circle [48, 4] (w:1, o:75, a:1, s:1, b:0),
% 5.70/6.13 cyclic [49, 4] (w:1, o:76, a:1, s:1, b:0),
% 5.70/6.13 eqangle [54, 8] (w:1, o:91, a:1, s:1, b:0),
% 5.70/6.13 eqratio [57, 8] (w:1, o:92, a:1, s:1, b:0),
% 5.70/6.13 simtri [59, 6] (w:1, o:88, a:1, s:1, b:0),
% 5.70/6.13 contri [60, 6] (w:1, o:89, a:1, s:1, b:0),
% 5.70/6.13 alpha1 [65, 3] (w:1, o:66, a:1, s:1, b:1),
% 5.70/6.13 alpha2 [66, 4] (w:1, o:77, a:1, s:1, b:1),
% 5.70/6.13 skol1 [67, 4] (w:1, o:78, a:1, s:1, b:1),
% 5.70/6.13 skol2 [68, 4] (w:1, o:80, a:1, s:1, b:1),
% 5.70/6.13 skol3 [69, 4] (w:1, o:82, a:1, s:1, b:1),
% 5.70/6.13 skol4 [70, 4] (w:1, o:83, a:1, s:1, b:1),
% 5.70/6.13 skol5 [71, 4] (w:1, o:84, a:1, s:1, b:1),
% 5.70/6.13 skol6 [72, 6] (w:1, o:90, a:1, s:1, b:1),
% 5.70/6.13 skol7 [73, 2] (w:1, o:60, a:1, s:1, b:1),
% 5.70/6.13 skol8 [74, 4] (w:1, o:85, a:1, s:1, b:1),
% 30.31/30.72 skol9 [75, 4] (w:1, o:86, a:1, s:1, b:1),
% 30.31/30.72 skol10 [76, 3] (w:1, o:67, a:1, s:1, b:1),
% 30.31/30.72 skol11 [77, 3] (w:1, o:68, a:1, s:1, b:1),
% 30.31/30.72 skol12 [78, 2] (w:1, o:61, a:1, s:1, b:1),
% 30.31/30.72 skol13 [79, 5] (w:1, o:87, a:1, s:1, b:1),
% 30.31/30.72 skol14 [80, 3] (w:1, o:69, a:1, s:1, b:1),
% 30.31/30.72 skol15 [81, 3] (w:1, o:70, a:1, s:1, b:1),
% 30.31/30.72 skol16 [82, 3] (w:1, o:71, a:1, s:1, b:1),
% 30.31/30.72 skol17 [83, 2] (w:1, o:62, a:1, s:1, b:1),
% 30.31/30.72 skol18 [84, 2] (w:1, o:63, a:1, s:1, b:1),
% 30.31/30.72 skol19 [85, 4] (w:1, o:79, a:1, s:1, b:1),
% 30.31/30.72 skol20 [86, 0] (w:1, o:25, a:1, s:1, b:1),
% 30.31/30.72 skol21 [87, 4] (w:1, o:81, a:1, s:1, b:1),
% 30.31/30.72 skol22 [88, 0] (w:1, o:26, a:1, s:1, b:1),
% 30.31/30.72 skol23 [89, 0] (w:1, o:27, a:1, s:1, b:1),
% 30.31/30.72 skol24 [90, 0] (w:1, o:28, a:1, s:1, b:1),
% 30.31/30.72 skol25 [91, 0] (w:1, o:29, a:1, s:1, b:1),
% 30.31/30.72 skol26 [92, 0] (w:1, o:30, a:1, s:1, b:1).
% 30.31/30.72
% 30.31/30.72
% 30.31/30.72 Starting Search:
% 30.31/30.72
% 30.31/30.72 *** allocated 15000 integers for clauses
% 30.31/30.72 *** allocated 22500 integers for clauses
% 30.31/30.72 *** allocated 33750 integers for clauses
% 30.31/30.72 *** allocated 22500 integers for termspace/termends
% 30.31/30.72 *** allocated 50625 integers for clauses
% 30.31/30.72 Resimplifying inuse:
% 30.31/30.72 Done
% 30.31/30.72
% 30.31/30.72 *** allocated 75937 integers for clauses
% 30.31/30.72 *** allocated 33750 integers for termspace/termends
% 30.31/30.72 *** allocated 113905 integers for clauses
% 30.31/30.72 *** allocated 50625 integers for termspace/termends
% 30.31/30.72
% 30.31/30.72 Intermediate Status:
% 30.31/30.72 Generated: 19140
% 30.31/30.72 Kept: 2044
% 30.31/30.72 Inuse: 336
% 30.31/30.72 Deleted: 1
% 30.31/30.72 Deletedinuse: 1
% 30.31/30.72
% 30.31/30.72 Resimplifying inuse:
% 30.31/30.72 Done
% 30.31/30.72
% 30.31/30.72 *** allocated 170857 integers for clauses
% 30.31/30.72 *** allocated 75937 integers for termspace/termends
% 30.31/30.72 Resimplifying inuse:
% 30.31/30.72 Done
% 30.31/30.72
% 30.31/30.72 *** allocated 256285 integers for clauses
% 30.31/30.72 *** allocated 113905 integers for termspace/termends
% 30.31/30.72
% 30.31/30.72 Intermediate Status:
% 30.31/30.72 Generated: 38499
% 30.31/30.72 Kept: 4066
% 30.31/30.72 Inuse: 476
% 30.31/30.72 Deleted: 1
% 30.31/30.72 Deletedinuse: 1
% 30.31/30.72
% 30.31/30.72 Resimplifying inuse:
% 30.31/30.72 Done
% 30.31/30.72
% 30.31/30.72 Resimplifying inuse:
% 30.31/30.72 Done
% 30.31/30.72
% 30.31/30.72 *** allocated 384427 integers for clauses
% 30.31/30.72 *** allocated 170857 integers for termspace/termends
% 30.31/30.72
% 30.31/30.72 Intermediate Status:
% 30.31/30.72 Generated: 50259
% 30.31/30.72 Kept: 6066
% 30.31/30.72 Inuse: 550
% 30.31/30.72 Deleted: 1
% 30.31/30.72 Deletedinuse: 1
% 30.31/30.72
% 30.31/30.72 Resimplifying inuse:
% 30.31/30.72 Done
% 30.31/30.72
% 30.31/30.72 Resimplifying inuse:
% 30.31/30.72 Done
% 30.31/30.72
% 30.31/30.72
% 30.31/30.72 Intermediate Status:
% 30.31/30.72 Generated: 71202
% 30.31/30.72 Kept: 8069
% 30.31/30.72 Inuse: 726
% 30.31/30.72 Deleted: 2
% 30.31/30.72 Deletedinuse: 1
% 30.31/30.72
% 30.31/30.72 *** allocated 576640 integers for clauses
% 30.31/30.72 Resimplifying inuse:
% 30.31/30.72 Done
% 30.31/30.72
% 30.31/30.72 *** allocated 256285 integers for termspace/termends
% 30.31/30.72 Resimplifying inuse:
% 30.31/30.72 Done
% 30.31/30.72
% 30.31/30.72
% 30.31/30.72 Intermediate Status:
% 30.31/30.72 Generated: 93775
% 30.31/30.72 Kept: 10261
% 30.31/30.72 Inuse: 815
% 30.31/30.72 Deleted: 12
% 30.31/30.72 Deletedinuse: 6
% 30.31/30.72
% 30.31/30.72 Resimplifying inuse:
% 30.31/30.72 Done
% 30.31/30.72
% 30.31/30.72 Resimplifying inuse:
% 30.31/30.72 Done
% 30.31/30.72
% 30.31/30.72
% 30.31/30.72 Intermediate Status:
% 30.31/30.72 Generated: 103599
% 30.31/30.72 Kept: 12665
% 30.31/30.72 Inuse: 860
% 30.31/30.72 Deleted: 16
% 30.31/30.72 Deletedinuse: 10
% 30.31/30.72
% 30.31/30.72 Resimplifying inuse:
% 30.31/30.72 Done
% 30.31/30.72
% 30.31/30.72 *** allocated 864960 integers for clauses
% 30.31/30.72 Resimplifying inuse:
% 30.31/30.72 Done
% 30.31/30.72
% 30.31/30.72
% 30.31/30.72 Intermediate Status:
% 30.31/30.72 Generated: 114682
% 30.31/30.72 Kept: 14679
% 30.31/30.72 Inuse: 918
% 30.31/30.72 Deleted: 20
% 30.31/30.72 Deletedinuse: 12
% 30.31/30.72
% 30.31/30.72 Resimplifying inuse:
% 30.31/30.72 Done
% 30.31/30.72
% 30.31/30.72 *** allocated 384427 integers for termspace/termends
% 30.31/30.72 Resimplifying inuse:
% 30.31/30.72 Done
% 30.31/30.72
% 30.31/30.72
% 30.31/30.72 Intermediate Status:
% 30.31/30.72 Generated: 131906
% 30.31/30.72 Kept: 16689
% 30.31/30.72 Inuse: 1029
% 30.31/30.72 Deleted: 42
% 30.31/30.72 Deletedinuse: 26
% 30.31/30.72
% 30.31/30.72 Resimplifying inuse:
% 30.31/30.72 Done
% 30.31/30.72
% 30.31/30.72 Resimplifying inuse:
% 30.31/30.72 Done
% 30.31/30.72
% 30.31/30.72
% 30.31/30.72 Intermediate Status:
% 30.31/30.72 Generated: 146940
% 30.31/30.72 Kept: 18694
% 30.31/30.72 Inuse: 1104
% 30.31/30.72 Deleted: 63
% 30.31/30.72 Deletedinuse: 41
% 30.31/30.72
% 30.31/30.72 Resimplifying inuse:
% 30.31/30.72 Done
% 30.31/30.72
% 30.31/30.72 *** allocated 1297440 integers for clauses
% 30.31/30.72 Resimplifying inuse:
% 30.31/30.72 Done
% 30.31/30.72
% 30.31/30.72 Resimplifying clauses:
% 30.31/30.72 Done
% 30.31/30.72
% 30.31/30.72
% 30.31/30.72 Intermediate Status:
% 30.31/30.72 Generated: 162526
% 30.31/30.72 Kept: 20695
% 30.31/30.72 Inuse: 1236
% 30.31/30.72 Deleted: 1864
% 30.31/30.72 Deletedinuse: 47
% 30.31/30.72
% 30.31/30.72 Resimplifying inuse:
% 30.31/30.72 Done
% 30.31/30.72
% 30.31/30.72 Resimplifying inuse:
% 30.31/30.72 Done
% 30.31/30.72
% 30.31/30.72
% 30.31/30.72 Intermediate Status:
% 30.31/30.72 Generated: 181800
% 30.31/30.72 Kept: 22705
% 30.31/30.72 Inuse: 1394
% 30.31/30.72 Deleted: 1874
% 30.31/30.72 Deletedinuse: 57
% 30.31/30.72
% 30.31/30.72 Resimplifying inuse:
% 30.31/30.72 Done
% 30.31/30.72
% 30.31/30.72 Resimplifying inuse:
% 30.31/30.72 Done
% 30.31/30.72
% 30.31/30.72
% 30.31/30.72 Intermediate Status:
% 30.31/30.72 Generated: 196455
% 30.31/30.72 Kept: 24775
% 30.31/30.72 Inuse: 1508
% 30.31/30.72 Deleted: 1878
% 30.31/30.72 Deletedinuse: 60
% 30.31/30.72
% 30.31/30.72 *** allocated 576640 integers for termspace/termends
% 30.31/30.72 Resimplifying inuse:
% 30.31/30.72 Done
% 30.31/30.72
% 30.31/30.72
% 30.31/30.72 Intermediate Status:
% 30.31/30.72 Generated: 205055
% 30.31/30.72 Kept: 28034
% 30.31/30.72 Inuse: 1543
% 30.31/30.72 Deleted: 1883
% 30.31/30.72 Deletedinuse: 65
% 30.31/30.72
% 30.31/30.72 Resimplifying inuse:
% 30.31/30.72 Done
% 30.31/30.72
% 30.31/30.72
% 30.31/30.72 Intermediate Status:
% 30.31/30.72 Generated: 213014
% 30.31/30.72 Kept: 30092
% 30.31/30.72 Inuse: 1558
% 30.31/30.72 Deleted: 1883
% 30.31/30.72 Deletedinuse: 65
% 30.31/30.72
% 30.31/30.72 Resimplifying inuse:
% 30.31/30.72 Done
% 30.31/30.72
% 30.31/30.72 *** allocated 1946160 integers for clauses
% 30.31/30.72 Resimplifying inuse:
% 30.31/30.72 Done
% 30.31/30.72
% 30.31/30.72
% 30.31/30.72 Intermediate Status:
% 30.31/30.72 Generated: 226467
% 30.31/30.72 Kept: 32227
% 30.31/30.72 Inuse: 1613
% 30.31/30.72 Deleted: 1895
% 30.31/30.72 Deletedinuse: 77
% 30.31/30.72
% 30.31/30.72 Resimplifying inuse:
% 30.31/30.72 Done
% 30.31/30.72
% 30.31/30.72 Resimplifying inuse:
% 30.31/30.72 Done
% 30.31/30.72
% 30.31/30.72
% 30.31/30.72 Intermediate Status:
% 30.31/30.72 Generated: 243075
% 30.31/30.72 Kept: 34231
% 30.31/30.72 Inuse: 1706
% 30.31/30.72 Deleted: 1911
% 30.31/30.72 Deletedinuse: 92
% 30.31/30.72
% 30.31/30.72 Resimplifying inuse:
% 30.31/30.72 Done
% 30.31/30.72
% 30.31/30.72 Resimplifying inuse:
% 30.31/30.72 Done
% 30.31/30.72
% 30.31/30.72
% 30.31/30.72 Intermediate Status:
% 30.31/30.72 Generated: 262148
% 30.31/30.72 Kept: 36238
% 30.31/30.72 Inuse: 1840
% 30.31/30.72 Deleted: 1922
% 30.31/30.72 Deletedinuse: 98
% 30.31/30.72
% 30.31/30.72 Resimplifying inuse:
% 30.31/30.72 Done
% 30.31/30.72
% 30.31/30.72 Resimplifying inuse:
% 30.31/30.72 Done
% 30.31/30.72
% 30.31/30.72
% 30.31/30.72 Intermediate Status:
% 30.31/30.72 Generated: 287555
% 30.31/30.72 Kept: 39345
% 30.31/30.72 Inuse: 1937
% 30.31/30.72 Deleted: 1922
% 30.31/30.72 Deletedinuse: 98
% 30.31/30.72
% 30.31/30.72 Resimplifying inuse:
% 30.31/30.72 Done
% 30.31/30.72
% 30.31/30.72 Resimplifying clauses:
% 30.31/30.72 Done
% 30.31/30.72
% 30.31/30.72 *** allocated 864960 integers for termspace/termends
% 30.31/30.72 Resimplifying inuse:
% 30.31/30.72 Done
% 30.31/30.72
% 30.31/30.72
% 30.31/30.72 Intermediate Status:
% 30.31/30.72 Generated: 320509
% 30.31/30.72 Kept: 41356
% 30.31/30.72 Inuse: 2105
% 30.31/30.72 Deleted: 7760
% 30.31/30.72 Deletedinuse: 100
% 30.31/30.72
% 30.31/30.72 Resimplifying inuse:
% 30.31/30.72 Done
% 30.31/30.72
% 30.31/30.72 Resimplifying inuse:
% 30.31/30.72 Done
% 30.31/30.72
% 30.31/30.72
% 30.31/30.72 Intermediate Status:
% 30.31/30.72 Generated: 359022
% 30.31/30.72 Kept: 43368
% 30.31/30.72 Inuse: 2265
% 30.31/30.72 Deleted: 7764
% 30.31/30.72 Deletedinuse: 104
% 30.31/30.72
% 30.31/30.72 Resimplifying inuse:
% 30.31/30.72 Done
% 30.31/30.72
% 30.31/30.72 Resimplifying inuse:
% 30.31/30.72 Done
% 30.31/30.72
% 30.31/30.72
% 30.31/30.72 Intermediate Status:
% 30.31/30.72 Generated: 388936
% 30.31/30.72 Kept: 45372
% 30.31/30.72 Inuse: 2388
% 30.31/30.72 Deleted: 7764
% 30.31/30.72 Deletedinuse: 104
% 30.31/30.72
% 30.31/30.72 Resimplifying inuse:
% 30.31/30.72 Done
% 30.31/30.72
% 30.31/30.72 Resimplifying inuse:
% 30.31/30.72 Done
% 30.31/30.72
% 30.31/30.72
% 30.31/30.72 Intermediate Status:
% 30.31/30.72 Generated: 468403
% 30.31/30.72 Kept: 47389
% 30.31/30.72 Inuse: 2539
% 30.31/30.72 Deleted: 7772
% 30.31/30.72 Deletedinuse: 110
% 30.31/30.72
% 30.31/30.72 Resimplifying inuse:
% 30.31/30.72 Done
% 30.31/30.72
% 30.31/30.72 *** allocated 2919240 integers for clauses
% 30.31/30.72 Resimplifying inuse:
% 30.31/30.72 Done
% 30.31/30.72
% 30.31/30.72
% 30.31/30.72 Intermediate Status:
% 30.31/30.72 Generated: 530140
% 30.31/30.72 Kept: 49398
% 30.31/30.72 Inuse: 2629
% 30.31/30.72 Deleted: 7814
% 30.31/30.72 Deletedinuse: 115
% 30.31/30.72
% 30.31/30.72 Resimplifying inuse:
% 30.31/30.72 Done
% 30.31/30.72
% 30.31/30.72 Resimplifying inuse:
% 30.31/30.72 Done
% 30.31/30.72
% 30.31/30.72
% 30.31/30.72 Intermediate Status:
% 30.31/30.72 Generated: 616511
% 30.31/30.72 Kept: 51415
% 30.31/30.72 Inuse: 2799
% 30.31/30.72 Deleted: 7964
% 30.31/30.72 Deletedinuse: 223
% 30.31/30.72
% 30.31/30.72 Resimplifying inuse:
% 30.31/30.72 Done
% 30.31/30.72
% 30.31/30.72 Resimplifying inuse:
% 30.31/30.72 Done
% 30.31/30.72
% 30.31/30.72
% 30.31/30.72 Intermediate Status:
% 30.31/30.72 Generated: 705868
% 30.31/30.72 Kept: 53419
% 30.31/30.72 Inuse: 2933
% 30.31/30.72 Deleted: 7997
% 30.31/30.72 Deletedinuse: 227
% 30.31/30.72
% 30.31/30.72 Resimplifying inuse:
% 30.31/30.72 Done
% 30.31/30.72
% 30.31/30.72
% 30.31/30.72 Bliksems!, er is een bewijs:
% 30.31/30.72 % SZS status Theorem
% 30.31/30.72 % SZS output start Refutation
% 30.31/30.72
% 30.31/30.72 (0) {G0,W8,D2,L2,V3,M2} I { ! coll( X, Y, Z ), coll( X, Z, Y ) }.
% 30.31/30.72 (1) {G0,W8,D2,L2,V3,M2} I { ! coll( X, Y, Z ), coll( Y, X, Z ) }.
% 30.31/30.72 (2) {G0,W12,D2,L3,V4,M3} I { ! coll( X, T, Y ), ! coll( X, T, Z ), coll( Y
% 30.31/30.72 , Z, X ) }.
% 30.31/30.72 (4) {G0,W10,D2,L2,V4,M2} I { ! para( X, Y, Z, T ), para( Z, T, X, Y ) }.
% 30.31/30.72 (5) {G0,W15,D2,L3,V6,M3} I { ! para( X, Y, U, W ), ! para( U, W, Z, T ),
% 30.31/30.72 para( X, Y, Z, T ) }.
% 30.31/30.72 (7) {G0,W10,D2,L2,V4,M2} I { ! perp( X, Y, Z, T ), perp( Z, T, X, Y ) }.
% 30.31/30.72 (8) {G0,W15,D2,L3,V6,M3} I { ! perp( X, Y, U, W ), ! perp( U, W, Z, T ),
% 30.31/30.72 para( X, Y, Z, T ) }.
% 30.31/30.72 (9) {G0,W15,D2,L3,V6,M3} I { ! para( X, Y, U, W ), ! perp( U, W, Z, T ),
% 30.31/30.72 perp( X, Y, Z, T ) }.
% 30.31/30.72 (13) {G0,W10,D2,L2,V4,M2} I { ! cyclic( X, Y, Z, T ), cyclic( X, Y, T, Z )
% 30.31/30.72 }.
% 30.31/30.72 (14) {G0,W10,D2,L2,V4,M2} I { ! cyclic( X, Y, Z, T ), cyclic( X, Z, Y, T )
% 30.31/30.72 }.
% 30.31/30.72 (15) {G0,W10,D2,L2,V4,M2} I { ! cyclic( X, Y, Z, T ), cyclic( Y, X, Z, T )
% 30.31/30.72 }.
% 30.31/30.72 (16) {G0,W15,D2,L3,V5,M3} I { ! cyclic( U, X, Y, Z ), ! cyclic( U, X, Y, T
% 30.31/30.72 ), cyclic( X, Y, Z, T ) }.
% 30.31/30.72 (18) {G0,W18,D2,L2,V8,M2} I { ! eqangle( X, Y, Z, T, U, W, V0, V1 ),
% 30.31/30.72 eqangle( Z, T, X, Y, V0, V1, U, W ) }.
% 30.31/30.72 (19) {G0,W18,D2,L2,V8,M2} I { ! eqangle( X, Y, Z, T, U, W, V0, V1 ),
% 30.31/30.72 eqangle( U, W, V0, V1, X, Y, Z, T ) }.
% 30.31/30.72 (22) {G0,W10,D2,L2,V4,M2} I { ! cong( X, Y, Z, T ), cong( X, Y, T, Z ) }.
% 30.31/30.72 (23) {G0,W10,D2,L2,V4,M2} I { ! cong( X, Y, Z, T ), cong( Z, T, X, Y ) }.
% 30.31/30.72 (24) {G0,W15,D2,L3,V6,M3} I { ! cong( X, Y, U, W ), ! cong( U, W, Z, T ),
% 30.31/30.72 cong( X, Y, Z, T ) }.
% 30.31/30.72 (38) {G0,W14,D2,L2,V6,M2} I { ! eqangle( X, Y, U, W, Z, T, U, W ), para( X
% 30.31/30.72 , Y, Z, T ) }.
% 30.31/30.72 (39) {G0,W14,D2,L2,V6,M2} I { ! para( X, Y, Z, T ), eqangle( X, Y, U, W, Z
% 30.31/30.72 , T, U, W ) }.
% 30.31/30.72 (40) {G0,W14,D2,L2,V4,M2} I { ! cyclic( X, Y, Z, T ), eqangle( Z, X, Z, Y,
% 30.31/30.72 T, X, T, Y ) }.
% 30.31/30.72 (42) {G0,W18,D2,L3,V4,M3} I { ! eqangle( Z, X, Z, Y, T, X, T, Y ), ! coll(
% 30.31/30.72 Z, T, Y ), cyclic( X, Y, Z, T ) }.
% 30.31/30.72 (43) {G0,W29,D2,L5,V6,M5} I { ! cyclic( X, Y, U, Z ), ! cyclic( X, Y, U, T
% 30.31/30.72 ), ! cyclic( X, Y, U, W ), ! eqangle( U, X, U, Y, W, Z, W, T ), cong( X
% 30.31/30.72 , Y, Z, T ) }.
% 30.31/30.72 (52) {G0,W14,D2,L3,V4,M3} I { ! perp( X, Y, Y, T ), ! midp( Z, X, T ), cong
% 30.31/30.72 ( X, Z, Y, Z ) }.
% 30.31/30.72 (56) {G0,W15,D2,L3,V4,M3} I { ! cong( X, Z, Y, Z ), ! cong( X, T, Y, T ),
% 30.31/30.72 perp( X, Y, Z, T ) }.
% 30.31/30.72 (67) {G0,W13,D2,L3,V3,M3} I { ! cong( X, Y, X, Z ), ! coll( X, Y, Z ), midp
% 30.31/30.72 ( X, Y, Z ) }.
% 30.31/30.72 (96) {G0,W14,D2,L3,V4,M3} I { ! perp( X, T, Y, Z ), ! perp( Y, T, X, Z ),
% 30.31/30.72 alpha1( X, Y, Z ) }.
% 30.31/30.72 (97) {G0,W11,D3,L2,V4,M2} I { ! alpha1( X, Y, Z ), coll( skol11( X, T, Z )
% 30.31/30.72 , Z, X ) }.
% 30.31/30.72 (116) {G0,W9,D2,L1,V0,M1} I { eqangle( skol22, skol20, skol20, skol25,
% 30.31/30.72 skol22, skol20, skol20, skol24 ) }.
% 30.31/30.72 (119) {G0,W5,D2,L1,V0,M1} I { perp( skol20, skol26, skol20, skol23 ) }.
% 30.31/30.72 (120) {G0,W4,D2,L1,V0,M1} I { coll( skol23, skol24, skol25 ) }.
% 30.31/30.72 (121) {G0,W5,D2,L1,V0,M1} I { ! cong( skol23, skol20, skol23, skol22 ) }.
% 30.31/30.72 (151) {G1,W9,D2,L2,V3,M2} F(96) { ! perp( X, Y, X, Z ), alpha1( X, X, Z )
% 30.31/30.72 }.
% 30.31/30.72 (160) {G1,W4,D2,L1,V0,M1} R(0,120) { coll( skol23, skol25, skol24 ) }.
% 30.31/30.72 (164) {G2,W4,D2,L1,V0,M1} R(1,160) { coll( skol25, skol23, skol24 ) }.
% 30.31/30.72 (170) {G3,W4,D2,L1,V0,M1} R(164,0) { coll( skol25, skol24, skol23 ) }.
% 30.31/30.72 (171) {G4,W4,D2,L1,V0,M1} R(170,1) { coll( skol24, skol25, skol23 ) }.
% 30.31/30.72 (195) {G1,W12,D2,L3,V4,M3} R(2,0) { ! coll( X, Y, Z ), ! coll( X, Y, T ),
% 30.31/30.72 coll( Z, X, T ) }.
% 30.31/30.72 (200) {G2,W8,D2,L2,V3,M2} F(195) { ! coll( X, Y, Z ), coll( Z, X, Z ) }.
% 30.31/30.72 (216) {G3,W12,D2,L3,V4,M3} R(200,2) { coll( X, Y, X ), ! coll( X, Z, Y ), !
% 30.31/30.72 coll( X, Z, T ) }.
% 30.31/30.72 (219) {G5,W4,D2,L1,V0,M1} R(200,171) { coll( skol23, skol24, skol23 ) }.
% 30.31/30.72 (230) {G4,W8,D2,L2,V3,M2} F(216) { coll( X, Y, X ), ! coll( X, Z, Y ) }.
% 30.31/30.72 (246) {G1,W15,D2,L3,V6,M3} R(5,4) { ! para( X, Y, Z, T ), para( U, W, Z, T
% 30.31/30.72 ), ! para( X, Y, U, W ) }.
% 30.31/30.72 (252) {G2,W10,D2,L2,V4,M2} F(246) { ! para( X, Y, Z, T ), para( Z, T, Z, T
% 30.31/30.72 ) }.
% 30.31/30.72 (275) {G6,W4,D2,L1,V0,M1} R(219,0) { coll( skol23, skol23, skol24 ) }.
% 30.31/30.72 (277) {G7,W8,D2,L2,V1,M2} R(275,2) { ! coll( skol23, skol23, X ), coll(
% 30.31/30.72 skol24, X, skol23 ) }.
% 30.31/30.72 (279) {G1,W15,D2,L3,V6,M3} R(8,7) { ! perp( X, Y, Z, T ), para( U, W, Z, T
% 30.31/30.72 ), ! perp( X, Y, U, W ) }.
% 30.31/30.72 (364) {G1,W10,D2,L2,V4,M2} R(14,13) { ! cyclic( X, Y, Z, T ), cyclic( X, Z
% 30.31/30.72 , T, Y ) }.
% 30.31/30.72 (365) {G1,W10,D2,L2,V4,M2} R(15,14) { cyclic( X, Y, Z, T ), ! cyclic( Y, Z
% 30.31/30.72 , X, T ) }.
% 30.31/30.72 (367) {G1,W10,D2,L2,V4,M2} R(15,13) { cyclic( X, Y, Z, T ), ! cyclic( Y, X
% 30.31/30.72 , T, Z ) }.
% 30.31/30.72 (374) {G5,W8,D2,L2,V3,M2} R(230,1) { ! coll( X, Y, Z ), coll( Z, X, X ) }.
% 30.31/30.72 (381) {G6,W8,D2,L2,V3,M2} R(374,1) { coll( X, Y, Y ), ! coll( Z, Y, X ) }.
% 30.31/30.72 (384) {G6,W8,D2,L2,V3,M2} R(374,0) { coll( X, Y, Y ), ! coll( Y, X, Z ) }.
% 30.31/30.72 (394) {G1,W15,D2,L3,V5,M3} R(16,15) { ! cyclic( X, Y, Z, T ), ! cyclic( X,
% 30.31/30.72 Y, Z, U ), cyclic( Z, Y, T, U ) }.
% 30.31/30.72 (399) {G1,W15,D2,L3,V5,M3} R(16,13) { ! cyclic( X, Y, Z, T ), cyclic( Y, Z
% 30.31/30.72 , T, U ), ! cyclic( X, Y, U, Z ) }.
% 30.31/30.72 (403) {G2,W10,D2,L2,V4,M2} F(394) { ! cyclic( X, Y, Z, T ), cyclic( Z, Y, T
% 30.31/30.72 , T ) }.
% 30.31/30.72 (424) {G7,W8,D2,L2,V3,M2} R(384,384) { ! coll( X, Y, Z ), coll( X, Y, Y )
% 30.31/30.72 }.
% 30.31/30.72 (427) {G8,W12,D2,L3,V4,M3} R(424,2) { ! coll( X, Y, Z ), ! coll( X, Y, T )
% 30.31/30.72 , coll( T, Y, X ) }.
% 30.31/30.72 (428) {G9,W8,D2,L2,V3,M2} F(427) { ! coll( X, Y, Z ), coll( Z, Y, X ) }.
% 30.31/30.72 (432) {G10,W8,D2,L2,V3,M2} R(428,424) { coll( X, X, Y ), ! coll( Y, X, Z )
% 30.31/30.72 }.
% 30.31/30.72 (439) {G10,W8,D2,L2,V3,M2} R(428,381) { coll( X, X, Y ), ! coll( Z, X, Y )
% 30.31/30.72 }.
% 30.31/30.72 (486) {G1,W5,D2,L1,V0,M1} R(22,121) { ! cong( skol23, skol20, skol22,
% 30.31/30.72 skol23 ) }.
% 30.31/30.72 (492) {G2,W5,D2,L1,V0,M1} R(23,486) { ! cong( skol22, skol23, skol23,
% 30.31/30.72 skol20 ) }.
% 30.31/30.72 (504) {G3,W5,D2,L1,V0,M1} R(492,22) { ! cong( skol22, skol23, skol20,
% 30.31/30.72 skol23 ) }.
% 30.31/30.72 (511) {G4,W10,D2,L2,V2,M2} R(24,504) { ! cong( skol22, skol23, X, Y ), !
% 30.31/30.72 cong( X, Y, skol20, skol23 ) }.
% 30.31/30.72 (768) {G1,W14,D2,L2,V6,M2} R(38,18) { para( X, Y, Z, T ), ! eqangle( U, W,
% 30.31/30.72 X, Y, U, W, Z, T ) }.
% 30.31/30.72 (780) {G1,W14,D2,L2,V6,M2} R(39,18) { ! para( X, Y, Z, T ), eqangle( U, W,
% 30.31/30.72 X, Y, U, W, Z, T ) }.
% 30.31/30.72 (835) {G1,W18,D2,L3,V4,M3} R(42,19) { ! coll( X, Y, Z ), cyclic( T, Z, X, Y
% 30.31/30.72 ), ! eqangle( Y, T, Y, Z, X, T, X, Z ) }.
% 30.31/30.72 (908) {G1,W20,D2,L4,V4,M4} R(43,40);f { ! cyclic( X, Y, Z, X ), ! cyclic( X
% 30.31/30.72 , Y, Z, Y ), ! cyclic( X, Y, Z, T ), cong( X, Y, X, Y ) }.
% 30.31/30.72 (941) {G2,W15,D2,L3,V3,M3} F(908) { ! cyclic( X, Y, Z, X ), ! cyclic( X, Y
% 30.31/30.72 , Z, Y ), cong( X, Y, X, Y ) }.
% 30.31/30.72 (4116) {G1,W4,D2,L1,V0,M1} R(96,119);r(119) { alpha1( skol20, skol20,
% 30.31/30.72 skol23 ) }.
% 30.31/30.72 (4121) {G2,W7,D3,L1,V1,M1} R(97,4116) { coll( skol11( skol20, X, skol23 ),
% 30.31/30.72 skol23, skol20 ) }.
% 30.31/30.72 (4218) {G7,W8,D2,L2,V3,M2} R(97,381) { ! alpha1( X, Y, Z ), coll( X, Z, Z )
% 30.31/30.72 }.
% 30.31/30.72 (4244) {G11,W4,D2,L1,V0,M1} R(4121,439) { coll( skol23, skol23, skol20 )
% 30.31/30.72 }.
% 30.31/30.72 (18332) {G12,W4,D2,L1,V0,M1} R(277,4244) { coll( skol24, skol20, skol23 )
% 30.31/30.72 }.
% 30.31/30.72 (18378) {G13,W4,D2,L1,V0,M1} R(18332,432) { coll( skol20, skol20, skol24 )
% 30.31/30.72 }.
% 30.31/30.72 (43918) {G2,W5,D2,L1,V0,M1} R(768,116) { para( skol20, skol25, skol20,
% 30.31/30.72 skol24 ) }.
% 30.31/30.72 (43936) {G3,W5,D2,L1,V0,M1} R(43918,252) { para( skol20, skol24, skol20,
% 30.31/30.72 skol24 ) }.
% 30.31/30.72 (44853) {G4,W9,D2,L1,V2,M1} R(780,43936) { eqangle( X, Y, skol20, skol24, X
% 30.31/30.72 , Y, skol20, skol24 ) }.
% 30.31/30.72 (48763) {G14,W5,D2,L1,V1,M1} R(835,18378);r(44853) { cyclic( X, skol24,
% 30.31/30.72 skol20, skol20 ) }.
% 30.31/30.72 (48938) {G15,W5,D2,L1,V1,M1} R(48763,367) { cyclic( skol24, X, skol20,
% 30.31/30.72 skol20 ) }.
% 30.31/30.72 (48950) {G16,W5,D2,L1,V1,M1} R(48938,403) { cyclic( skol20, X, skol20,
% 30.31/30.72 skol20 ) }.
% 30.31/30.72 (48972) {G17,W5,D2,L1,V1,M1} R(48950,365) { cyclic( skol20, skol20, X,
% 30.31/30.72 skol20 ) }.
% 30.31/30.72 (48973) {G17,W5,D2,L1,V1,M1} R(48950,364) { cyclic( skol20, skol20, skol20
% 30.31/30.72 , X ) }.
% 30.31/30.72 (48978) {G18,W5,D2,L1,V2,M1} R(48972,399);r(48973) { cyclic( skol20, skol20
% 30.31/30.72 , X, Y ) }.
% 30.31/30.72 (49176) {G19,W5,D2,L1,V3,M1} R(48978,399);r(48978) { cyclic( skol20, X, Y,
% 30.31/30.72 Z ) }.
% 30.31/30.72 (49195) {G20,W5,D2,L1,V4,M1} R(49176,399);r(49176) { cyclic( X, Y, Z, T )
% 30.31/30.72 }.
% 30.31/30.72 (54207) {G21,W5,D2,L1,V2,M1} S(941);r(49195);r(49195) { cong( X, Y, X, Y )
% 30.31/30.72 }.
% 30.31/30.72 (54224) {G22,W5,D2,L1,V3,M1} R(54207,56);r(54207) { perp( X, X, Z, Y ) }.
% 30.31/30.72 (54253) {G23,W5,D2,L1,V4,M1} R(54224,279);r(54224) { para( X, Y, Z, T ) }.
% 30.31/30.72 (54255) {G23,W4,D2,L1,V2,M1} R(54224,151) { alpha1( X, X, Y ) }.
% 30.31/30.72 (54275) {G24,W5,D2,L1,V4,M1} R(54224,9);r(54253) { perp( X, Y, T, U ) }.
% 30.31/30.72 (54351) {G24,W4,D2,L1,V2,M1} R(54255,4218) { coll( X, Y, Y ) }.
% 30.31/30.72 (54363) {G25,W4,D2,L1,V2,M1} R(54351,67);r(54207) { midp( X, Y, Y ) }.
% 30.31/30.72 (54387) {G26,W5,D2,L1,V3,M1} R(54363,52);r(54275) { cong( X, Z, Y, Z ) }.
% 30.31/30.72 (54444) {G27,W0,D0,L0,V0,M0} R(54387,511);r(54387) { }.
% 30.31/30.72
% 30.31/30.72
% 30.31/30.72 % SZS output end Refutation
% 30.31/30.72 found a proof!
% 30.31/30.72
% 30.31/30.72
% 30.31/30.72 Unprocessed initial clauses:
% 30.31/30.72
% 30.31/30.72 (54446) {G0,W8,D2,L2,V3,M2} { ! coll( X, Y, Z ), coll( X, Z, Y ) }.
% 30.31/30.72 (54447) {G0,W8,D2,L2,V3,M2} { ! coll( X, Y, Z ), coll( Y, X, Z ) }.
% 30.31/30.72 (54448) {G0,W12,D2,L3,V4,M3} { ! coll( X, T, Y ), ! coll( X, T, Z ), coll
% 30.31/30.72 ( Y, Z, X ) }.
% 30.31/30.72 (54449) {G0,W10,D2,L2,V4,M2} { ! para( X, Y, Z, T ), para( X, Y, T, Z )
% 30.31/30.72 }.
% 30.31/30.72 (54450) {G0,W10,D2,L2,V4,M2} { ! para( X, Y, Z, T ), para( Z, T, X, Y )
% 30.31/30.72 }.
% 30.31/30.72 (54451) {G0,W15,D2,L3,V6,M3} { ! para( X, Y, U, W ), ! para( U, W, Z, T )
% 30.31/30.72 , para( X, Y, Z, T ) }.
% 30.31/30.72 (54452) {G0,W10,D2,L2,V4,M2} { ! perp( X, Y, Z, T ), perp( X, Y, T, Z )
% 30.31/30.72 }.
% 30.31/30.72 (54453) {G0,W10,D2,L2,V4,M2} { ! perp( X, Y, Z, T ), perp( Z, T, X, Y )
% 30.31/30.72 }.
% 30.31/30.72 (54454) {G0,W15,D2,L3,V6,M3} { ! perp( X, Y, U, W ), ! perp( U, W, Z, T )
% 30.31/30.72 , para( X, Y, Z, T ) }.
% 30.31/30.72 (54455) {G0,W15,D2,L3,V6,M3} { ! para( X, Y, U, W ), ! perp( U, W, Z, T )
% 30.31/30.72 , perp( X, Y, Z, T ) }.
% 30.31/30.72 (54456) {G0,W8,D2,L2,V3,M2} { ! midp( Z, Y, X ), midp( Z, X, Y ) }.
% 30.31/30.72 (54457) {G0,W15,D2,L3,V4,M3} { ! cong( T, X, T, Y ), ! cong( T, X, T, Z )
% 30.31/30.72 , circle( T, X, Y, Z ) }.
% 30.31/30.72 (54458) {G0,W20,D2,L4,V5,M4} { ! cong( U, X, U, Y ), ! cong( U, X, U, Z )
% 30.31/30.72 , ! cong( U, X, U, T ), cyclic( X, Y, Z, T ) }.
% 30.31/30.72 (54459) {G0,W10,D2,L2,V4,M2} { ! cyclic( X, Y, Z, T ), cyclic( X, Y, T, Z
% 30.31/30.72 ) }.
% 30.31/30.72 (54460) {G0,W10,D2,L2,V4,M2} { ! cyclic( X, Y, Z, T ), cyclic( X, Z, Y, T
% 30.31/30.72 ) }.
% 30.31/30.72 (54461) {G0,W10,D2,L2,V4,M2} { ! cyclic( X, Y, Z, T ), cyclic( Y, X, Z, T
% 30.31/30.72 ) }.
% 30.31/30.72 (54462) {G0,W15,D2,L3,V5,M3} { ! cyclic( U, X, Y, Z ), ! cyclic( U, X, Y,
% 30.31/30.72 T ), cyclic( X, Y, Z, T ) }.
% 30.31/30.72 (54463) {G0,W18,D2,L2,V8,M2} { ! eqangle( X, Y, Z, T, U, W, V0, V1 ),
% 30.31/30.72 eqangle( Y, X, Z, T, U, W, V0, V1 ) }.
% 30.31/30.72 (54464) {G0,W18,D2,L2,V8,M2} { ! eqangle( X, Y, Z, T, U, W, V0, V1 ),
% 30.31/30.72 eqangle( Z, T, X, Y, V0, V1, U, W ) }.
% 30.31/30.72 (54465) {G0,W18,D2,L2,V8,M2} { ! eqangle( X, Y, Z, T, U, W, V0, V1 ),
% 30.31/30.72 eqangle( U, W, V0, V1, X, Y, Z, T ) }.
% 30.31/30.72 (54466) {G0,W18,D2,L2,V8,M2} { ! eqangle( X, Y, Z, T, U, W, V0, V1 ),
% 30.31/30.72 eqangle( X, Y, U, W, Z, T, V0, V1 ) }.
% 30.31/30.72 (54467) {G0,W27,D2,L3,V12,M3} { ! eqangle( X, Y, Z, T, V2, V3, V4, V5 ), !
% 30.31/30.72 eqangle( V2, V3, V4, V5, U, W, V0, V1 ), eqangle( X, Y, Z, T, U, W, V0,
% 30.31/30.72 V1 ) }.
% 30.31/30.72 (54468) {G0,W10,D2,L2,V4,M2} { ! cong( X, Y, Z, T ), cong( X, Y, T, Z )
% 30.31/30.72 }.
% 30.31/30.72 (54469) {G0,W10,D2,L2,V4,M2} { ! cong( X, Y, Z, T ), cong( Z, T, X, Y )
% 30.31/30.72 }.
% 30.31/30.72 (54470) {G0,W15,D2,L3,V6,M3} { ! cong( X, Y, U, W ), ! cong( U, W, Z, T )
% 30.31/30.72 , cong( X, Y, Z, T ) }.
% 30.31/30.72 (54471) {G0,W18,D2,L2,V8,M2} { ! eqratio( X, Y, Z, T, U, W, V0, V1 ),
% 30.31/30.72 eqratio( Y, X, Z, T, U, W, V0, V1 ) }.
% 30.31/30.72 (54472) {G0,W18,D2,L2,V8,M2} { ! eqratio( X, Y, Z, T, U, W, V0, V1 ),
% 30.31/30.72 eqratio( Z, T, X, Y, V0, V1, U, W ) }.
% 30.31/30.72 (54473) {G0,W18,D2,L2,V8,M2} { ! eqratio( X, Y, Z, T, U, W, V0, V1 ),
% 30.31/30.72 eqratio( U, W, V0, V1, X, Y, Z, T ) }.
% 30.31/30.72 (54474) {G0,W18,D2,L2,V8,M2} { ! eqratio( X, Y, Z, T, U, W, V0, V1 ),
% 30.31/30.72 eqratio( X, Y, U, W, Z, T, V0, V1 ) }.
% 30.31/30.72 (54475) {G0,W27,D2,L3,V12,M3} { ! eqratio( X, Y, Z, T, V2, V3, V4, V5 ), !
% 30.31/30.72 eqratio( V2, V3, V4, V5, U, W, V0, V1 ), eqratio( X, Y, Z, T, U, W, V0,
% 30.31/30.72 V1 ) }.
% 30.31/30.72 (54476) {G0,W14,D2,L2,V6,M2} { ! simtri( X, Z, Y, T, W, U ), simtri( X, Y
% 30.31/30.72 , Z, T, U, W ) }.
% 30.31/30.72 (54477) {G0,W14,D2,L2,V6,M2} { ! simtri( Y, X, Z, U, T, W ), simtri( X, Y
% 30.31/30.72 , Z, T, U, W ) }.
% 30.31/30.72 (54478) {G0,W14,D2,L2,V6,M2} { ! simtri( T, U, W, X, Y, Z ), simtri( X, Y
% 30.31/30.72 , Z, T, U, W ) }.
% 30.31/30.72 (54479) {G0,W21,D2,L3,V9,M3} { ! simtri( X, Y, Z, V0, V1, V2 ), ! simtri(
% 30.31/30.72 V0, V1, V2, T, U, W ), simtri( X, Y, Z, T, U, W ) }.
% 30.31/30.72 (54480) {G0,W14,D2,L2,V6,M2} { ! contri( X, Z, Y, T, W, U ), contri( X, Y
% 30.31/30.72 , Z, T, U, W ) }.
% 30.31/30.72 (54481) {G0,W14,D2,L2,V6,M2} { ! contri( Y, X, Z, U, T, W ), contri( X, Y
% 30.31/30.72 , Z, T, U, W ) }.
% 30.31/30.72 (54482) {G0,W14,D2,L2,V6,M2} { ! contri( T, U, W, X, Y, Z ), contri( X, Y
% 30.31/30.72 , Z, T, U, W ) }.
% 30.31/30.72 (54483) {G0,W21,D2,L3,V9,M3} { ! contri( X, Y, Z, V0, V1, V2 ), ! contri(
% 30.31/30.72 V0, V1, V2, T, U, W ), contri( X, Y, Z, T, U, W ) }.
% 30.31/30.72 (54484) {G0,W14,D2,L2,V6,M2} { ! eqangle( X, Y, U, W, Z, T, U, W ), para(
% 30.31/30.72 X, Y, Z, T ) }.
% 30.31/30.72 (54485) {G0,W14,D2,L2,V6,M2} { ! para( X, Y, Z, T ), eqangle( X, Y, U, W,
% 30.31/30.72 Z, T, U, W ) }.
% 30.31/30.72 (54486) {G0,W14,D2,L2,V4,M2} { ! cyclic( X, Y, Z, T ), eqangle( Z, X, Z, Y
% 30.31/30.72 , T, X, T, Y ) }.
% 30.31/30.72 (54487) {G0,W18,D2,L3,V4,M3} { ! eqangle( Z, X, Z, Y, T, X, T, Y ), coll(
% 30.31/30.72 Z, T, X ), cyclic( X, Y, Z, T ) }.
% 30.31/30.72 (54488) {G0,W18,D2,L3,V4,M3} { ! eqangle( Z, X, Z, Y, T, X, T, Y ), ! coll
% 30.31/30.72 ( Z, T, Y ), cyclic( X, Y, Z, T ) }.
% 30.31/30.72 (54489) {G0,W29,D2,L5,V6,M5} { ! cyclic( X, Y, U, Z ), ! cyclic( X, Y, U,
% 30.31/30.72 T ), ! cyclic( X, Y, U, W ), ! eqangle( U, X, U, Y, W, Z, W, T ), cong( X
% 30.31/30.72 , Y, Z, T ) }.
% 30.31/30.72 (54490) {G0,W13,D2,L3,V5,M3} { ! midp( Z, U, X ), ! midp( T, U, Y ), para
% 30.31/30.72 ( Z, T, X, Y ) }.
% 30.31/30.72 (54491) {G0,W17,D2,L4,V5,M4} { ! midp( U, X, T ), ! para( U, Z, T, Y ), !
% 30.31/30.72 coll( Z, X, Y ), midp( Z, X, Y ) }.
% 30.31/30.72 (54492) {G0,W14,D2,L2,V3,M2} { ! cong( Z, X, Z, Y ), eqangle( Z, X, X, Y,
% 30.31/30.72 X, Y, Z, Y ) }.
% 30.31/30.72 (54493) {G0,W18,D2,L3,V3,M3} { ! eqangle( Z, X, X, Y, X, Y, Z, Y ), coll(
% 30.31/30.72 Z, X, Y ), cong( Z, X, Z, Y ) }.
% 30.31/30.72 (54494) {G0,W19,D2,L3,V5,M3} { ! circle( U, X, Y, Z ), ! perp( U, X, X, T
% 30.31/30.72 ), eqangle( X, T, X, Y, Z, X, Z, Y ) }.
% 30.31/30.72 (54495) {G0,W19,D2,L3,V5,M3} { ! circle( Y, X, T, U ), ! eqangle( X, Z, X
% 30.31/30.72 , T, U, X, U, T ), perp( Y, X, X, Z ) }.
% 30.31/30.72 (54496) {G0,W18,D2,L3,V5,M3} { ! circle( T, X, Y, Z ), ! midp( U, Y, Z ),
% 30.31/30.72 eqangle( X, Y, X, Z, T, Y, T, U ) }.
% 30.31/30.72 (54497) {G0,W22,D2,L4,V5,M4} { ! circle( U, T, X, Y ), ! coll( Z, X, Y ),
% 30.31/30.72 ! eqangle( T, X, T, Y, U, X, U, Z ), midp( Z, X, Y ) }.
% 30.31/30.72 (54498) {G0,W14,D2,L3,V4,M3} { ! perp( X, Y, Y, T ), ! midp( Z, X, T ),
% 30.31/30.72 cong( X, Z, Y, Z ) }.
% 30.31/30.72 (54499) {G0,W14,D2,L3,V4,M3} { ! circle( T, X, Y, Z ), ! coll( T, X, Z ),
% 30.31/30.72 perp( X, Y, Y, Z ) }.
% 30.31/30.72 (54500) {G0,W19,D2,L3,V4,M3} { ! cyclic( X, Y, Z, T ), ! para( X, Y, Z, T
% 30.31/30.72 ), eqangle( X, T, Z, T, Z, T, Z, Y ) }.
% 30.31/30.72 (54501) {G0,W14,D2,L3,V4,M3} { ! midp( T, X, Y ), ! perp( Z, T, X, Y ),
% 30.31/30.72 cong( Z, X, Z, Y ) }.
% 30.31/30.72 (54502) {G0,W15,D2,L3,V4,M3} { ! cong( X, Z, Y, Z ), ! cong( X, T, Y, T )
% 30.31/30.72 , perp( X, Y, Z, T ) }.
% 30.31/30.72 (54503) {G0,W20,D2,L4,V4,M4} { ! cong( X, Y, T, Y ), ! cong( X, Z, T, Z )
% 30.31/30.72 , ! cyclic( X, T, Y, Z ), perp( Y, X, X, Z ) }.
% 30.31/30.72 (54504) {G0,W29,D2,L4,V6,M4} { ! eqangle( X, Y, Y, Z, T, U, U, W ), !
% 30.31/30.72 eqangle( X, Z, Y, Z, T, W, U, W ), coll( X, Y, Z ), simtri( X, Y, Z, T, U
% 30.31/30.72 , W ) }.
% 30.31/30.72 (54505) {G0,W16,D2,L2,V6,M2} { ! simtri( X, Y, Z, T, U, W ), eqratio( X, Y
% 30.31/30.72 , X, Z, T, U, T, W ) }.
% 30.31/30.72 (54506) {G0,W16,D2,L2,V6,M2} { ! simtri( X, Y, Z, T, U, W ), eqangle( X, Y
% 30.31/30.72 , Y, Z, T, U, U, W ) }.
% 30.31/30.72 (54507) {G0,W19,D2,L3,V6,M3} { ! simtri( X, Y, Z, T, U, W ), ! cong( X, Y
% 30.31/30.72 , T, U ), contri( X, Y, Z, T, U, W ) }.
% 30.31/30.72 (54508) {G0,W12,D2,L2,V6,M2} { ! contri( X, Y, U, Z, T, W ), cong( X, Y, Z
% 30.31/30.72 , T ) }.
% 30.31/30.72 (54509) {G0,W13,D2,L3,V5,M3} { ! midp( U, X, Y ), ! midp( U, Z, T ), para
% 30.31/30.72 ( X, Z, Y, T ) }.
% 30.31/30.72 (54510) {G0,W18,D2,L4,V5,M4} { ! midp( Z, T, U ), ! para( T, X, U, Y ), !
% 30.31/30.72 para( T, Y, U, X ), midp( Z, X, Y ) }.
% 30.31/30.72 (54511) {G0,W22,D2,L4,V5,M4} { ! para( X, Y, Z, T ), ! coll( U, X, Z ), !
% 30.31/30.72 coll( U, Y, T ), eqratio( U, X, X, Z, U, Y, Y, T ) }.
% 30.31/30.72 (54512) {G0,W9,D2,L2,V3,M2} { ! para( X, Y, X, Z ), coll( X, Y, Z ) }.
% 30.31/30.72 (54513) {G0,W13,D2,L3,V3,M3} { ! cong( X, Y, X, Z ), ! coll( X, Y, Z ),
% 30.31/30.72 midp( X, Y, Z ) }.
% 30.31/30.72 (54514) {G0,W9,D2,L2,V3,M2} { ! midp( X, Y, Z ), cong( X, Y, X, Z ) }.
% 30.31/30.72 (54515) {G0,W8,D2,L2,V3,M2} { ! midp( X, Y, Z ), coll( X, Y, Z ) }.
% 30.31/30.72 (54516) {G0,W17,D2,L3,V6,M3} { ! midp( U, X, Y ), ! midp( W, Z, T ),
% 30.31/30.72 eqratio( U, X, X, Y, W, Z, Z, T ) }.
% 30.31/30.72 (54517) {G0,W19,D2,L3,V4,M3} { ! eqangle( X, Y, Z, T, Z, T, X, Y ), para(
% 30.31/30.72 X, Y, Z, T ), perp( X, Y, Z, T ) }.
% 30.31/30.72 (54518) {G0,W19,D2,L3,V4,M3} { ! eqangle( X, Y, Z, T, Z, T, X, Y ), perp(
% 30.31/30.72 X, Y, Z, T ), para( X, Y, Z, T ) }.
% 30.31/30.72 (54519) {G0,W19,D2,L3,V8,M3} { ! eqangle( X, Y, Z, T, U, W, V0, V1 ), !
% 30.31/30.72 para( U, W, V0, V1 ), para( X, Y, Z, T ) }.
% 30.31/30.72 (54520) {G0,W19,D2,L3,V8,M3} { ! eqangle( X, Y, Z, T, U, W, V0, V1 ), !
% 30.31/30.72 perp( U, W, V0, V1 ), perp( X, Y, Z, T ) }.
% 30.31/30.72 (54521) {G0,W19,D2,L3,V8,M3} { ! eqratio( X, Y, Z, T, U, W, V0, V1 ), !
% 30.31/30.72 cong( U, W, V0, V1 ), cong( X, Y, Z, T ) }.
% 30.31/30.72 (54522) {G0,W22,D3,L3,V6,M3} { ! perp( Z, Y, Y, X ), ! eqangle( T, Z, Y, Z
% 30.31/30.72 , Y, Z, X, Z ), coll( skol1( U, W, Z, T ), Z, T ) }.
% 30.31/30.72 (54523) {G0,W22,D3,L3,V4,M3} { ! perp( Z, Y, Y, X ), ! eqangle( T, Z, Y, Z
% 30.31/30.72 , Y, Z, X, Z ), coll( skol1( X, Y, Z, T ), X, Y ) }.
% 30.31/30.72 (54524) {G0,W22,D3,L3,V6,M3} { ! cong( Z, X, Z, Y ), ! eqangle( X, Z, Z, T
% 30.31/30.72 , Z, T, Z, Y ), coll( skol2( U, W, Z, T ), Z, T ) }.
% 30.31/30.72 (54525) {G0,W22,D3,L3,V4,M3} { ! cong( Z, X, Z, Y ), ! eqangle( X, Z, Z, T
% 30.31/30.72 , Z, T, Z, Y ), coll( Y, X, skol2( X, Y, Z, T ) ) }.
% 30.31/30.72 (54526) {G0,W22,D3,L3,V6,M3} { ! perp( Z, T, X, Y ), ! eqangle( X, Z, Z, T
% 30.31/30.72 , Z, T, Z, Y ), coll( skol3( U, W, Z, T ), Z, T ) }.
% 30.31/30.72 (54527) {G0,W22,D3,L3,V4,M3} { ! perp( Z, T, X, Y ), ! eqangle( X, Z, Z, T
% 30.31/30.72 , Z, T, Z, Y ), coll( Y, X, skol3( X, Y, Z, T ) ) }.
% 30.31/30.72 (54528) {G0,W18,D3,L3,V6,M3} { ! perp( Z, T, X, Y ), ! cong( Z, X, Z, Y )
% 30.31/30.72 , coll( skol4( U, W, Z, T ), Z, T ) }.
% 30.31/30.72 (54529) {G0,W18,D3,L3,V4,M3} { ! perp( Z, T, X, Y ), ! cong( Z, X, Z, Y )
% 30.31/30.72 , coll( Y, X, skol4( X, Y, Z, T ) ) }.
% 30.31/30.72 (54530) {G0,W22,D3,L3,V6,M3} { ! eqangle( X, Z, Y, Z, X, T, Y, U ), coll(
% 30.31/30.72 X, Y, Z ), cyclic( T, Y, Z, skol5( W, Y, Z, T ) ) }.
% 30.31/30.72 (54531) {G0,W30,D3,L3,V5,M3} { ! eqangle( X, Z, Y, Z, X, T, Y, U ), coll(
% 30.31/30.72 X, Y, Z ), eqangle( X, Z, Y, Z, X, skol5( X, Y, Z, T ), Y, skol5( X, Y, Z
% 30.31/30.72 , T ) ) }.
% 30.31/30.72 (54532) {G0,W18,D3,L3,V10,M3} { ! midp( U, X, Y ), ! midp( W, Z, T ), midp
% 30.31/30.72 ( skol6( X, V0, V1, T, V2, V3 ), X, T ) }.
% 30.31/30.72 (54533) {G0,W19,D3,L3,V8,M3} { ! midp( U, X, Y ), ! midp( W, Z, T ), para
% 30.31/30.72 ( skol6( X, V0, Z, T, V1, W ), W, X, Z ) }.
% 30.31/30.72 (54534) {G0,W19,D3,L3,V6,M3} { ! midp( U, X, Y ), ! midp( W, Z, T ), para
% 30.31/30.72 ( skol6( X, Y, Z, T, U, W ), U, Y, T ) }.
% 30.31/30.72 (54535) {G0,W22,D3,L5,V7,M5} { ! midp( Z, X, Y ), ! midp( W, T, U ), !
% 30.31/30.72 coll( T, X, Y ), ! coll( U, X, Y ), midp( skol7( X, V0 ), X, V0 ) }.
% 30.31/30.72 (54536) {G0,W26,D3,L5,V8,M5} { ! midp( T, X, U ), ! para( X, W, Z, T ), !
% 30.31/30.72 para( X, W, U, Y ), ! coll( W, Y, Z ), coll( skol8( V0, V1, Z, T ), T, Z
% 30.31/30.72 ) }.
% 30.31/30.72 (54537) {G0,W26,D3,L5,V6,M5} { ! midp( T, X, U ), ! para( X, W, Z, T ), !
% 30.31/30.72 para( X, W, U, Y ), ! coll( W, Y, Z ), coll( skol8( X, Y, Z, T ), X, Y )
% 30.31/30.72 }.
% 30.31/30.72 (54538) {G0,W19,D3,L3,V7,M3} { ! cong( T, Z, T, U ), ! perp( X, Y, Y, T )
% 30.31/30.72 , cong( T, Z, T, skol9( W, V0, Z, T ) ) }.
% 30.31/30.72 (54539) {G0,W19,D3,L3,V6,M3} { ! cong( T, Z, T, U ), ! perp( X, Y, Y, T )
% 30.31/30.72 , cong( Y, Z, Y, skol9( W, Y, Z, T ) ) }.
% 30.31/30.72 (54540) {G0,W19,D3,L3,V5,M3} { ! cong( T, Z, T, U ), ! perp( X, Y, Y, T )
% 30.31/30.72 , para( skol9( X, Y, Z, T ), Z, X, Y ) }.
% 30.31/30.72 (54541) {G0,W17,D3,L3,V5,M3} { ! perp( X, T, Y, Z ), ! perp( Y, T, X, Z )
% 30.31/30.72 , coll( skol10( U, Y, Z ), Z, Y ) }.
% 30.31/30.72 (54542) {G0,W18,D3,L3,V4,M3} { ! perp( X, T, Y, Z ), ! perp( Y, T, X, Z )
% 30.31/30.72 , perp( X, skol10( X, Y, Z ), Z, Y ) }.
% 30.31/30.72 (54543) {G0,W14,D2,L3,V4,M3} { ! perp( X, T, Y, Z ), ! perp( Y, T, X, Z )
% 30.31/30.72 , alpha1( X, Y, Z ) }.
% 30.31/30.72 (54544) {G0,W11,D3,L2,V4,M2} { ! alpha1( X, Y, Z ), coll( skol11( X, T, Z
% 30.31/30.72 ), Z, X ) }.
% 30.31/30.72 (54545) {G0,W12,D3,L2,V3,M2} { ! alpha1( X, Y, Z ), perp( Y, skol11( X, Y
% 30.31/30.72 , Z ), Z, X ) }.
% 30.31/30.72 (54546) {G0,W13,D2,L3,V4,M3} { ! coll( T, Z, X ), ! perp( Y, T, Z, X ),
% 30.31/30.72 alpha1( X, Y, Z ) }.
% 30.31/30.72 (54547) {G0,W12,D3,L2,V4,M2} { ! circle( Y, X, Z, T ), perp( skol12( X, Y
% 30.31/30.72 ), X, X, Y ) }.
% 30.31/30.72 (54548) {G0,W28,D3,L5,V8,M5} { ! circle( W, X, Y, Z ), ! cong( W, X, W, T
% 30.31/30.72 ), ! cong( U, X, U, Y ), W = U, alpha2( X, Z, U, skol13( X, V0, Z, V1, U
% 30.31/30.72 ) ) }.
% 30.31/30.72 (54549) {G0,W26,D3,L5,V8,M5} { ! circle( W, X, Y, Z ), ! cong( W, X, W, T
% 30.31/30.72 ), ! cong( U, X, U, Y ), W = U, coll( skol21( V0, Y, T, V1 ), Y, T ) }.
% 30.31/30.72 (54550) {G0,W27,D3,L5,V6,M5} { ! circle( W, X, Y, Z ), ! cong( W, X, W, T
% 30.31/30.72 ), ! cong( U, X, U, Y ), W = U, cong( skol21( X, Y, T, U ), U, U, X )
% 30.31/30.72 }.
% 30.31/30.72 (54551) {G0,W9,D2,L2,V4,M2} { ! alpha2( X, Y, Z, T ), coll( T, X, Y ) }.
% 30.31/30.72 (54552) {G0,W10,D2,L2,V4,M2} { ! alpha2( X, Y, Z, T ), cong( T, Z, Z, X )
% 30.31/30.72 }.
% 30.31/30.72 (54553) {G0,W14,D2,L3,V4,M3} { ! coll( T, X, Y ), ! cong( T, Z, Z, X ),
% 30.31/30.72 alpha2( X, Y, Z, T ) }.
% 30.31/30.72 (54554) {G0,W22,D3,L4,V5,M4} { ! cyclic( X, Y, Z, T ), ! para( X, Y, Z, T
% 30.31/30.72 ), ! midp( U, X, Y ), circle( skol14( X, Y, Z ), X, Y, Z ) }.
% 30.31/30.72 (54555) {G0,W18,D3,L3,V4,M3} { ! perp( X, Z, Z, Y ), ! cyclic( X, Y, Z, T
% 30.31/30.72 ), circle( skol15( X, Y, Z ), X, Y, Z ) }.
% 30.31/30.72 (54556) {G0,W16,D3,L3,V6,M3} { ! perp( X, U, U, T ), ! coll( T, Y, Z ),
% 30.31/30.72 coll( skol16( W, Y, Z ), Y, Z ) }.
% 30.31/30.72 (54557) {G0,W17,D3,L3,V5,M3} { ! perp( X, U, U, T ), ! coll( T, Y, Z ),
% 30.31/30.72 perp( skol16( X, Y, Z ), X, Y, Z ) }.
% 30.31/30.72 (54558) {G0,W20,D3,L4,V5,M4} { ! perp( X, Z, X, Y ), ! perp( Y, X, Y, T )
% 30.31/30.72 , ! midp( U, Z, T ), midp( skol17( X, Y ), X, Y ) }.
% 30.31/30.72 (54559) {G0,W16,D3,L3,V3,M3} { ! cong( Y, X, Y, Z ), ! perp( X, Y, Y, Z )
% 30.31/30.72 , coll( X, Y, skol18( X, Y ) ) }.
% 30.31/30.72 (54560) {G0,W17,D3,L3,V3,M3} { ! cong( Y, X, Y, Z ), ! perp( X, Y, Y, Z )
% 30.31/30.72 , cong( Y, X, Y, skol18( X, Y ) ) }.
% 30.31/30.72 (54561) {G0,W25,D3,L5,V8,M5} { ! para( U, W, X, Y ), ! coll( Z, U, X ), !
% 30.31/30.72 coll( Z, W, Y ), ! coll( T, U, W ), coll( Z, T, skol19( V0, V1, Z, T ) )
% 30.31/30.72 }.
% 30.31/30.72 (54562) {G0,W25,D3,L5,V6,M5} { ! para( U, W, X, Y ), ! coll( Z, U, X ), !
% 30.31/30.72 coll( Z, W, Y ), ! coll( T, U, W ), coll( skol19( X, Y, Z, T ), X, Y )
% 30.31/30.72 }.
% 30.31/30.72 (54563) {G0,W9,D2,L1,V0,M1} { eqangle( skol22, skol20, skol20, skol25,
% 30.31/30.72 skol22, skol20, skol20, skol24 ) }.
% 30.31/30.72 (54564) {G0,W4,D2,L1,V0,M1} { coll( skol22, skol24, skol25 ) }.
% 30.31/30.72 (54565) {G0,W5,D2,L1,V0,M1} { circle( skol26, skol20, skol24, skol25 ) }.
% 30.31/30.72 (54566) {G0,W5,D2,L1,V0,M1} { perp( skol20, skol26, skol20, skol23 ) }.
% 30.31/30.72 (54567) {G0,W4,D2,L1,V0,M1} { coll( skol23, skol24, skol25 ) }.
% 30.31/30.72 (54568) {G0,W5,D2,L1,V0,M1} { ! cong( skol23, skol20, skol23, skol22 ) }.
% 30.31/30.72
% 30.31/30.72
% 30.31/30.72 Total Proof:
% 30.31/30.72
% 30.31/30.72 subsumption: (0) {G0,W8,D2,L2,V3,M2} I { ! coll( X, Y, Z ), coll( X, Z, Y )
% 30.31/30.72 }.
% 30.31/30.72 parent0: (54446) {G0,W8,D2,L2,V3,M2} { ! coll( X, Y, Z ), coll( X, Z, Y )
% 30.31/30.72 }.
% 30.31/30.72 substitution0:
% 30.31/30.72 X := X
% 30.31/30.72 Y := Y
% 30.31/30.72 Z := Z
% 30.31/30.72 end
% 30.31/30.72 permutation0:
% 30.31/30.72 0 ==> 0
% 30.31/30.72 1 ==> 1
% 30.31/30.72 end
% 30.31/30.72
% 30.31/30.72 subsumption: (1) {G0,W8,D2,L2,V3,M2} I { ! coll( X, Y, Z ), coll( Y, X, Z )
% 30.31/30.72 }.
% 30.31/30.72 parent0: (54447) {G0,W8,D2,L2,V3,M2} { ! coll( X, Y, Z ), coll( Y, X, Z )
% 30.31/30.72 }.
% 30.31/30.72 substitution0:
% 30.31/30.72 X := X
% 30.31/30.72 Y := Y
% 30.31/30.72 Z := Z
% 30.31/30.72 end
% 30.31/30.72 permutation0:
% 30.31/30.72 0 ==> 0
% 30.31/30.72 1 ==> 1
% 30.31/30.72 end
% 30.31/30.72
% 30.31/30.72 subsumption: (2) {G0,W12,D2,L3,V4,M3} I { ! coll( X, T, Y ), ! coll( X, T,
% 30.31/30.72 Z ), coll( Y, Z, X ) }.
% 30.31/30.72 parent0: (54448) {G0,W12,D2,L3,V4,M3} { ! coll( X, T, Y ), ! coll( X, T, Z
% 30.31/30.72 ), coll( Y, Z, X ) }.
% 30.31/30.72 substitution0:
% 30.31/30.72 X := X
% 30.31/30.72 Y := Y
% 30.31/30.72 Z := Z
% 30.31/30.72 T := T
% 30.31/30.72 end
% 30.31/30.72 permutation0:
% 30.31/30.72 0 ==> 0
% 30.31/30.72 1 ==> 1
% 30.31/30.72 2 ==> 2
% 30.31/30.72 end
% 30.31/30.72
% 30.31/30.72 subsumption: (4) {G0,W10,D2,L2,V4,M2} I { ! para( X, Y, Z, T ), para( Z, T
% 30.31/30.72 , X, Y ) }.
% 30.31/30.72 parent0: (54450) {G0,W10,D2,L2,V4,M2} { ! para( X, Y, Z, T ), para( Z, T,
% 30.31/30.72 X, Y ) }.
% 30.31/30.72 substitution0:
% 30.31/30.72 X := X
% 30.31/30.72 Y := Y
% 30.31/30.72 Z := Z
% 30.31/30.72 T := T
% 30.31/30.72 end
% 30.31/30.72 permutation0:
% 30.31/30.72 0 ==> 0
% 30.31/30.72 1 ==> 1
% 30.31/30.72 end
% 30.31/30.72
% 30.31/30.72 subsumption: (5) {G0,W15,D2,L3,V6,M3} I { ! para( X, Y, U, W ), ! para( U,
% 30.31/30.72 W, Z, T ), para( X, Y, Z, T ) }.
% 30.31/30.72 parent0: (54451) {G0,W15,D2,L3,V6,M3} { ! para( X, Y, U, W ), ! para( U, W
% 30.31/30.72 , Z, T ), para( X, Y, Z, T ) }.
% 30.31/30.72 substitution0:
% 30.31/30.72 X := X
% 30.31/30.72 Y := Y
% 30.31/30.72 Z := Z
% 30.31/30.72 T := T
% 30.31/30.72 U := U
% 30.31/30.72 W := W
% 30.31/30.72 end
% 30.31/30.72 permutation0:
% 30.31/30.72 0 ==> 0
% 30.31/30.72 1 ==> 1
% 30.31/30.72 2 ==> 2
% 30.31/30.72 end
% 30.31/30.72
% 30.31/30.72 subsumption: (7) {G0,W10,D2,L2,V4,M2} I { ! perp( X, Y, Z, T ), perp( Z, T
% 30.31/30.72 , X, Y ) }.
% 30.31/30.72 parent0: (54453) {G0,W10,D2,L2,V4,M2} { ! perp( X, Y, Z, T ), perp( Z, T,
% 30.31/30.72 X, Y ) }.
% 30.31/30.72 substitution0:
% 30.31/30.72 X := X
% 30.31/30.72 Y := Y
% 30.31/30.72 Z := Z
% 30.31/30.72 T := T
% 30.31/30.72 end
% 30.31/30.72 permutation0:
% 30.31/30.72 0 ==> 0
% 30.31/30.72 1 ==> 1
% 30.31/30.72 end
% 30.31/30.72
% 30.31/30.72 subsumption: (8) {G0,W15,D2,L3,V6,M3} I { ! perp( X, Y, U, W ), ! perp( U,
% 30.31/30.72 W, Z, T ), para( X, Y, Z, T ) }.
% 30.31/30.72 parent0: (54454) {G0,W15,D2,L3,V6,M3} { ! perp( X, Y, U, W ), ! perp( U, W
% 30.31/30.72 , Z, T ), para( X, Y, Z, T ) }.
% 30.31/30.72 substitution0:
% 30.31/30.72 X := X
% 30.31/30.72 Y := Y
% 30.31/30.72 Z := Z
% 30.31/30.72 T := T
% 30.31/30.72 U := U
% 30.31/30.72 W := W
% 30.31/30.72 end
% 30.31/30.72 permutation0:
% 30.31/30.72 0 ==> 0
% 30.31/30.72 1 ==> 1
% 30.31/30.72 2 ==> 2
% 30.31/30.72 end
% 30.31/30.72
% 30.31/30.72 subsumption: (9) {G0,W15,D2,L3,V6,M3} I { ! para( X, Y, U, W ), ! perp( U,
% 30.31/30.72 W, Z, T ), perp( X, Y, Z, T ) }.
% 30.31/30.72 parent0: (54455) {G0,W15,D2,L3,V6,M3} { ! para( X, Y, U, W ), ! perp( U, W
% 30.31/30.72 , Z, T ), perp( X, Y, Z, T ) }.
% 30.31/30.72 substitution0:
% 30.31/30.72 X := X
% 30.31/30.72 Y := Y
% 30.31/30.72 Z := Z
% 30.31/30.72 T := T
% 30.31/30.72 U := U
% 30.31/30.72 W := W
% 30.31/30.72 end
% 30.31/30.72 permutation0:
% 30.31/30.72 0 ==> 0
% 30.31/30.72 1 ==> 1
% 30.31/30.72 2 ==> 2
% 30.31/30.72 end
% 30.31/30.72
% 30.31/30.72 subsumption: (13) {G0,W10,D2,L2,V4,M2} I { ! cyclic( X, Y, Z, T ), cyclic(
% 30.31/30.72 X, Y, T, Z ) }.
% 30.31/30.72 parent0: (54459) {G0,W10,D2,L2,V4,M2} { ! cyclic( X, Y, Z, T ), cyclic( X
% 30.31/30.72 , Y, T, Z ) }.
% 30.31/30.72 substitution0:
% 30.31/30.72 X := X
% 30.31/30.72 Y := Y
% 30.31/30.72 Z := Z
% 30.31/30.72 T := T
% 30.31/30.72 end
% 30.31/30.72 permutation0:
% 30.31/30.72 0 ==> 0
% 30.31/30.72 1 ==> 1
% 30.31/30.72 end
% 30.31/30.72
% 30.31/30.72 subsumption: (14) {G0,W10,D2,L2,V4,M2} I { ! cyclic( X, Y, Z, T ), cyclic(
% 30.31/30.72 X, Z, Y, T ) }.
% 30.31/30.72 parent0: (54460) {G0,W10,D2,L2,V4,M2} { ! cyclic( X, Y, Z, T ), cyclic( X
% 30.31/30.72 , Z, Y, T ) }.
% 30.31/30.72 substitution0:
% 30.31/30.72 X := X
% 30.31/30.72 Y := Y
% 30.31/30.72 Z := Z
% 30.31/30.72 T := T
% 30.31/30.72 end
% 30.31/30.72 permutation0:
% 30.31/30.72 0 ==> 0
% 30.31/30.72 1 ==> 1
% 30.31/30.72 end
% 30.31/30.72
% 30.31/30.72 subsumption: (15) {G0,W10,D2,L2,V4,M2} I { ! cyclic( X, Y, Z, T ), cyclic(
% 30.31/30.72 Y, X, Z, T ) }.
% 30.31/30.72 parent0: (54461) {G0,W10,D2,L2,V4,M2} { ! cyclic( X, Y, Z, T ), cyclic( Y
% 30.31/30.72 , X, Z, T ) }.
% 30.31/30.72 substitution0:
% 30.31/30.72 X := X
% 30.31/30.72 Y := Y
% 30.31/30.72 Z := Z
% 30.31/30.72 T := T
% 30.31/30.72 end
% 30.31/30.72 permutation0:
% 30.31/30.72 0 ==> 0
% 30.31/30.72 1 ==> 1
% 30.31/30.72 end
% 30.31/30.72
% 30.31/30.72 subsumption: (16) {G0,W15,D2,L3,V5,M3} I { ! cyclic( U, X, Y, Z ), ! cyclic
% 30.31/30.72 ( U, X, Y, T ), cyclic( X, Y, Z, T ) }.
% 30.31/30.72 parent0: (54462) {G0,W15,D2,L3,V5,M3} { ! cyclic( U, X, Y, Z ), ! cyclic(
% 30.31/30.72 U, X, Y, T ), cyclic( X, Y, Z, T ) }.
% 30.31/30.72 substitution0:
% 30.31/30.72 X := X
% 30.31/30.72 Y := Y
% 30.31/30.72 Z := Z
% 30.31/30.72 T := T
% 30.31/30.72 U := U
% 30.31/30.72 end
% 30.31/30.72 permutation0:
% 30.31/30.72 0 ==> 0
% 30.31/30.72 1 ==> 1
% 30.31/30.72 2 ==> 2
% 30.31/30.72 end
% 30.31/30.72
% 30.31/30.72 subsumption: (18) {G0,W18,D2,L2,V8,M2} I { ! eqangle( X, Y, Z, T, U, W, V0
% 30.31/30.72 , V1 ), eqangle( Z, T, X, Y, V0, V1, U, W ) }.
% 30.31/30.72 parent0: (54464) {G0,W18,D2,L2,V8,M2} { ! eqangle( X, Y, Z, T, U, W, V0,
% 30.31/30.72 V1 ), eqangle( Z, T, X, Y, V0, V1, U, W ) }.
% 30.31/30.72 substitution0:
% 30.31/30.72 X := X
% 30.31/30.72 Y := Y
% 30.31/30.72 Z := Z
% 30.31/30.72 T := T
% 30.31/30.72 U := U
% 30.31/30.72 W := W
% 30.31/30.72 V0 := V0
% 30.31/30.72 V1 := V1
% 30.31/30.72 end
% 30.31/30.72 permutation0:
% 30.31/30.72 0 ==> 0
% 30.31/30.72 1 ==> 1
% 30.31/30.72 end
% 30.31/30.72
% 30.31/30.72 subsumption: (19) {G0,W18,D2,L2,V8,M2} I { ! eqangle( X, Y, Z, T, U, W, V0
% 30.31/30.72 , V1 ), eqangle( U, W, V0, V1, X, Y, Z, T ) }.
% 30.31/30.72 parent0: (54465) {G0,W18,D2,L2,V8,M2} { ! eqangle( X, Y, Z, T, U, W, V0,
% 30.31/30.72 V1 ), eqangle( U, W, V0, V1, X, Y, Z, T ) }.
% 30.31/30.72 substitution0:
% 30.31/30.72 X := X
% 30.31/30.72 Y := Y
% 30.31/30.72 Z := Z
% 30.31/30.72 T := T
% 30.31/30.72 U := U
% 30.31/30.72 W := W
% 30.31/30.72 V0 := V0
% 30.31/30.72 V1 := V1
% 30.31/30.72 end
% 30.31/30.72 permutation0:
% 30.31/30.72 0 ==> 0
% 30.31/30.72 1 ==> 1
% 30.31/30.72 end
% 30.31/30.72
% 30.31/30.72 subsumption: (22) {G0,W10,D2,L2,V4,M2} I { ! cong( X, Y, Z, T ), cong( X, Y
% 30.31/30.73 , T, Z ) }.
% 30.31/30.73 parent0: (54468) {G0,W10,D2,L2,V4,M2} { ! cong( X, Y, Z, T ), cong( X, Y,
% 30.31/30.73 T, Z ) }.
% 30.31/30.73 substitution0:
% 30.31/30.73 X := X
% 30.31/30.73 Y := Y
% 30.31/30.73 Z := Z
% 30.31/30.73 T := T
% 30.31/30.73 end
% 30.31/30.73 permutation0:
% 30.31/30.73 0 ==> 0
% 30.31/30.73 1 ==> 1
% 30.31/30.73 end
% 30.31/30.73
% 30.31/30.73 subsumption: (23) {G0,W10,D2,L2,V4,M2} I { ! cong( X, Y, Z, T ), cong( Z, T
% 30.31/30.73 , X, Y ) }.
% 30.31/30.73 parent0: (54469) {G0,W10,D2,L2,V4,M2} { ! cong( X, Y, Z, T ), cong( Z, T,
% 30.31/30.73 X, Y ) }.
% 30.31/30.73 substitution0:
% 30.31/30.73 X := X
% 30.31/30.73 Y := Y
% 30.31/30.73 Z := Z
% 30.31/30.73 T := T
% 30.31/30.73 end
% 30.31/30.73 permutation0:
% 30.31/30.73 0 ==> 0
% 30.31/30.73 1 ==> 1
% 30.31/30.73 end
% 30.31/30.73
% 30.31/30.73 subsumption: (24) {G0,W15,D2,L3,V6,M3} I { ! cong( X, Y, U, W ), ! cong( U
% 30.31/30.73 , W, Z, T ), cong( X, Y, Z, T ) }.
% 30.31/30.73 parent0: (54470) {G0,W15,D2,L3,V6,M3} { ! cong( X, Y, U, W ), ! cong( U, W
% 30.31/30.73 , Z, T ), cong( X, Y, Z, T ) }.
% 30.31/30.73 substitution0:
% 30.31/30.73 X := X
% 30.31/30.73 Y := Y
% 30.31/30.73 Z := Z
% 30.31/30.73 T := T
% 30.31/30.73 U := U
% 30.31/30.73 W := W
% 30.31/30.73 end
% 30.31/30.73 permutation0:
% 30.31/30.73 0 ==> 0
% 30.31/30.73 1 ==> 1
% 30.31/30.73 2 ==> 2
% 30.31/30.73 end
% 30.31/30.73
% 30.31/30.73 subsumption: (38) {G0,W14,D2,L2,V6,M2} I { ! eqangle( X, Y, U, W, Z, T, U,
% 30.31/30.73 W ), para( X, Y, Z, T ) }.
% 30.31/30.73 parent0: (54484) {G0,W14,D2,L2,V6,M2} { ! eqangle( X, Y, U, W, Z, T, U, W
% 30.31/30.73 ), para( X, Y, Z, T ) }.
% 30.31/30.73 substitution0:
% 30.31/30.73 X := X
% 30.31/30.73 Y := Y
% 30.31/30.73 Z := Z
% 30.31/30.73 T := T
% 30.31/30.73 U := U
% 30.31/30.73 W := W
% 30.31/30.73 end
% 30.31/30.73 permutation0:
% 30.31/30.73 0 ==> 0
% 30.31/30.73 1 ==> 1
% 30.31/30.73 end
% 30.31/30.73
% 30.31/30.73 subsumption: (39) {G0,W14,D2,L2,V6,M2} I { ! para( X, Y, Z, T ), eqangle( X
% 30.31/30.73 , Y, U, W, Z, T, U, W ) }.
% 30.31/30.73 parent0: (54485) {G0,W14,D2,L2,V6,M2} { ! para( X, Y, Z, T ), eqangle( X,
% 30.31/30.73 Y, U, W, Z, T, U, W ) }.
% 30.31/30.73 substitution0:
% 30.31/30.73 X := X
% 30.31/30.73 Y := Y
% 30.31/30.73 Z := Z
% 30.31/30.73 T := T
% 30.31/30.73 U := U
% 30.31/30.73 W := W
% 30.31/30.73 end
% 30.31/30.73 permutation0:
% 30.31/30.73 0 ==> 0
% 30.31/30.73 1 ==> 1
% 30.31/30.73 end
% 30.31/30.73
% 30.31/30.73 subsumption: (40) {G0,W14,D2,L2,V4,M2} I { ! cyclic( X, Y, Z, T ), eqangle
% 30.31/30.73 ( Z, X, Z, Y, T, X, T, Y ) }.
% 30.31/30.73 parent0: (54486) {G0,W14,D2,L2,V4,M2} { ! cyclic( X, Y, Z, T ), eqangle( Z
% 30.31/30.73 , X, Z, Y, T, X, T, Y ) }.
% 30.31/30.73 substitution0:
% 30.31/30.73 X := X
% 30.31/30.73 Y := Y
% 30.31/30.73 Z := Z
% 30.31/30.73 T := T
% 30.31/30.73 end
% 30.31/30.73 permutation0:
% 30.31/30.73 0 ==> 0
% 30.31/30.73 1 ==> 1
% 30.31/30.73 end
% 30.31/30.73
% 30.31/30.73 subsumption: (42) {G0,W18,D2,L3,V4,M3} I { ! eqangle( Z, X, Z, Y, T, X, T,
% 30.31/30.73 Y ), ! coll( Z, T, Y ), cyclic( X, Y, Z, T ) }.
% 30.31/30.73 parent0: (54488) {G0,W18,D2,L3,V4,M3} { ! eqangle( Z, X, Z, Y, T, X, T, Y
% 30.31/30.73 ), ! coll( Z, T, Y ), cyclic( X, Y, Z, T ) }.
% 30.31/30.73 substitution0:
% 30.31/30.73 X := X
% 30.31/30.73 Y := Y
% 30.31/30.73 Z := Z
% 30.31/30.73 T := T
% 30.31/30.73 end
% 30.31/30.73 permutation0:
% 30.31/30.73 0 ==> 0
% 30.31/30.73 1 ==> 1
% 30.31/30.73 2 ==> 2
% 30.31/30.73 end
% 30.31/30.73
% 30.31/30.73 subsumption: (43) {G0,W29,D2,L5,V6,M5} I { ! cyclic( X, Y, U, Z ), ! cyclic
% 30.31/30.73 ( X, Y, U, T ), ! cyclic( X, Y, U, W ), ! eqangle( U, X, U, Y, W, Z, W, T
% 30.31/30.73 ), cong( X, Y, Z, T ) }.
% 30.31/30.73 parent0: (54489) {G0,W29,D2,L5,V6,M5} { ! cyclic( X, Y, U, Z ), ! cyclic(
% 30.31/30.73 X, Y, U, T ), ! cyclic( X, Y, U, W ), ! eqangle( U, X, U, Y, W, Z, W, T )
% 30.31/30.73 , cong( X, Y, Z, T ) }.
% 30.31/30.73 substitution0:
% 30.31/30.73 X := X
% 30.31/30.73 Y := Y
% 30.31/30.73 Z := Z
% 30.31/30.73 T := T
% 30.31/30.73 U := U
% 30.31/30.73 W := W
% 30.31/30.73 end
% 30.31/30.73 permutation0:
% 30.31/30.73 0 ==> 0
% 30.31/30.73 1 ==> 1
% 30.31/30.73 2 ==> 2
% 30.31/30.73 3 ==> 3
% 30.31/30.73 4 ==> 4
% 30.31/30.73 end
% 30.31/30.73
% 30.31/30.73 subsumption: (52) {G0,W14,D2,L3,V4,M3} I { ! perp( X, Y, Y, T ), ! midp( Z
% 30.31/30.73 , X, T ), cong( X, Z, Y, Z ) }.
% 30.31/30.73 parent0: (54498) {G0,W14,D2,L3,V4,M3} { ! perp( X, Y, Y, T ), ! midp( Z, X
% 30.31/30.73 , T ), cong( X, Z, Y, Z ) }.
% 30.31/30.73 substitution0:
% 30.31/30.73 X := X
% 30.31/30.73 Y := Y
% 30.31/30.73 Z := Z
% 30.31/30.73 T := T
% 30.31/30.73 end
% 30.31/30.73 permutation0:
% 30.31/30.73 0 ==> 0
% 30.31/30.73 1 ==> 1
% 30.31/30.73 2 ==> 2
% 30.31/30.73 end
% 30.31/30.73
% 30.31/30.73 subsumption: (56) {G0,W15,D2,L3,V4,M3} I { ! cong( X, Z, Y, Z ), ! cong( X
% 30.31/30.73 , T, Y, T ), perp( X, Y, Z, T ) }.
% 30.31/30.73 parent0: (54502) {G0,W15,D2,L3,V4,M3} { ! cong( X, Z, Y, Z ), ! cong( X, T
% 30.31/30.73 , Y, T ), perp( X, Y, Z, T ) }.
% 30.31/30.73 substitution0:
% 30.31/30.73 X := X
% 30.31/30.73 Y := Y
% 30.31/30.73 Z := Z
% 30.31/30.73 T := T
% 30.31/30.73 end
% 30.31/30.73 permutation0:
% 30.31/30.73 0 ==> 0
% 30.31/30.73 1 ==> 1
% 30.31/30.73 2 ==> 2
% 30.31/30.73 end
% 30.31/30.73
% 30.31/30.73 subsumption: (67) {G0,W13,D2,L3,V3,M3} I { ! cong( X, Y, X, Z ), ! coll( X
% 30.31/30.73 , Y, Z ), midp( X, Y, Z ) }.
% 30.31/30.73 parent0: (54513) {G0,W13,D2,L3,V3,M3} { ! cong( X, Y, X, Z ), ! coll( X, Y
% 30.31/30.73 , Z ), midp( X, Y, Z ) }.
% 30.31/30.73 substitution0:
% 30.31/30.73 X := X
% 30.31/30.73 Y := Y
% 30.31/30.73 Z := Z
% 30.31/30.73 end
% 30.31/30.73 permutation0:
% 30.31/30.73 0 ==> 0
% 30.31/30.73 1 ==> 1
% 30.31/30.73 2 ==> 2
% 30.31/30.73 end
% 30.31/30.73
% 30.31/30.73 subsumption: (96) {G0,W14,D2,L3,V4,M3} I { ! perp( X, T, Y, Z ), ! perp( Y
% 30.31/30.73 , T, X, Z ), alpha1( X, Y, Z ) }.
% 30.31/30.73 parent0: (54543) {G0,W14,D2,L3,V4,M3} { ! perp( X, T, Y, Z ), ! perp( Y, T
% 30.31/30.73 , X, Z ), alpha1( X, Y, Z ) }.
% 30.31/30.73 substitution0:
% 30.31/30.73 X := X
% 30.31/30.73 Y := Y
% 30.31/30.73 Z := Z
% 30.31/30.73 T := T
% 30.31/30.73 end
% 30.31/30.73 permutation0:
% 30.31/30.73 0 ==> 0
% 30.31/30.73 1 ==> 1
% 30.31/30.73 2 ==> 2
% 30.31/30.73 end
% 30.31/30.73
% 30.31/30.73 subsumption: (97) {G0,W11,D3,L2,V4,M2} I { ! alpha1( X, Y, Z ), coll(
% 30.31/30.73 skol11( X, T, Z ), Z, X ) }.
% 30.31/30.73 parent0: (54544) {G0,W11,D3,L2,V4,M2} { ! alpha1( X, Y, Z ), coll( skol11
% 30.31/30.73 ( X, T, Z ), Z, X ) }.
% 30.31/30.73 substitution0:
% 30.31/30.73 X := X
% 30.31/30.73 Y := Y
% 30.31/30.73 Z := Z
% 30.31/30.73 T := T
% 30.31/30.73 end
% 30.31/30.73 permutation0:
% 30.31/30.73 0 ==> 0
% 30.31/30.73 1 ==> 1
% 30.31/30.73 end
% 30.31/30.73
% 30.31/30.73 subsumption: (116) {G0,W9,D2,L1,V0,M1} I { eqangle( skol22, skol20, skol20
% 30.31/30.73 , skol25, skol22, skol20, skol20, skol24 ) }.
% 30.31/30.73 parent0: (54563) {G0,W9,D2,L1,V0,M1} { eqangle( skol22, skol20, skol20,
% 30.31/30.73 skol25, skol22, skol20, skol20, skol24 ) }.
% 30.31/30.73 substitution0:
% 30.31/30.73 end
% 30.31/30.73 permutation0:
% 30.31/30.73 0 ==> 0
% 30.31/30.73 end
% 30.31/30.73
% 30.31/30.73 subsumption: (119) {G0,W5,D2,L1,V0,M1} I { perp( skol20, skol26, skol20,
% 30.31/30.73 skol23 ) }.
% 30.31/30.73 parent0: (54566) {G0,W5,D2,L1,V0,M1} { perp( skol20, skol26, skol20,
% 30.31/30.73 skol23 ) }.
% 30.31/30.73 substitution0:
% 30.31/30.73 end
% 30.31/30.73 permutation0:
% 30.31/30.73 0 ==> 0
% 30.31/30.73 end
% 30.31/30.73
% 30.31/30.73 subsumption: (120) {G0,W4,D2,L1,V0,M1} I { coll( skol23, skol24, skol25 )
% 30.31/30.73 }.
% 30.31/30.73 parent0: (54567) {G0,W4,D2,L1,V0,M1} { coll( skol23, skol24, skol25 ) }.
% 30.31/30.73 substitution0:
% 30.31/30.73 end
% 30.31/30.73 permutation0:
% 30.31/30.73 0 ==> 0
% 30.31/30.73 end
% 30.31/30.73
% 30.31/30.73 subsumption: (121) {G0,W5,D2,L1,V0,M1} I { ! cong( skol23, skol20, skol23,
% 30.31/30.73 skol22 ) }.
% 30.31/30.73 parent0: (54568) {G0,W5,D2,L1,V0,M1} { ! cong( skol23, skol20, skol23,
% 30.31/30.73 skol22 ) }.
% 30.31/30.73 substitution0:
% 30.31/30.73 end
% 30.31/30.73 permutation0:
% 30.31/30.73 0 ==> 0
% 30.31/30.73 end
% 30.31/30.73
% 30.31/30.73 factor: (55083) {G0,W9,D2,L2,V3,M2} { ! perp( X, Y, X, Z ), alpha1( X, X,
% 30.31/30.73 Z ) }.
% 30.31/30.73 parent0[0, 1]: (96) {G0,W14,D2,L3,V4,M3} I { ! perp( X, T, Y, Z ), ! perp(
% 30.31/30.73 Y, T, X, Z ), alpha1( X, Y, Z ) }.
% 30.31/30.73 substitution0:
% 30.31/30.73 X := X
% 30.31/30.73 Y := X
% 30.31/30.73 Z := Z
% 30.31/30.73 T := Y
% 30.31/30.73 end
% 30.31/30.73
% 30.31/30.73 subsumption: (151) {G1,W9,D2,L2,V3,M2} F(96) { ! perp( X, Y, X, Z ), alpha1
% 30.31/30.73 ( X, X, Z ) }.
% 30.31/30.73 parent0: (55083) {G0,W9,D2,L2,V3,M2} { ! perp( X, Y, X, Z ), alpha1( X, X
% 30.31/30.73 , Z ) }.
% 30.31/30.73 substitution0:
% 30.31/30.73 X := X
% 30.31/30.73 Y := Y
% 30.31/30.73 Z := Z
% 30.31/30.73 end
% 30.31/30.73 permutation0:
% 30.31/30.73 0 ==> 0
% 30.31/30.73 1 ==> 1
% 30.31/30.73 end
% 30.31/30.73
% 30.31/30.73 resolution: (55084) {G1,W4,D2,L1,V0,M1} { coll( skol23, skol25, skol24 )
% 30.31/30.73 }.
% 30.31/30.73 parent0[0]: (0) {G0,W8,D2,L2,V3,M2} I { ! coll( X, Y, Z ), coll( X, Z, Y )
% 30.31/30.73 }.
% 30.31/30.73 parent1[0]: (120) {G0,W4,D2,L1,V0,M1} I { coll( skol23, skol24, skol25 )
% 30.31/30.73 }.
% 30.31/30.73 substitution0:
% 30.31/30.73 X := skol23
% 30.31/30.73 Y := skol24
% 30.31/30.73 Z := skol25
% 30.31/30.73 end
% 30.31/30.73 substitution1:
% 30.31/30.73 end
% 30.31/30.73
% 30.31/30.73 subsumption: (160) {G1,W4,D2,L1,V0,M1} R(0,120) { coll( skol23, skol25,
% 30.35/30.73 skol24 ) }.
% 30.35/30.73 parent0: (55084) {G1,W4,D2,L1,V0,M1} { coll( skol23, skol25, skol24 ) }.
% 30.35/30.73 substitution0:
% 30.35/30.73 end
% 30.35/30.73 permutation0:
% 30.35/30.73 0 ==> 0
% 30.35/30.73 end
% 30.35/30.73
% 30.35/30.73 resolution: (55085) {G1,W4,D2,L1,V0,M1} { coll( skol25, skol23, skol24 )
% 30.35/30.73 }.
% 30.35/30.73 parent0[0]: (1) {G0,W8,D2,L2,V3,M2} I { ! coll( X, Y, Z ), coll( Y, X, Z )
% 30.35/30.73 }.
% 30.35/30.73 parent1[0]: (160) {G1,W4,D2,L1,V0,M1} R(0,120) { coll( skol23, skol25,
% 30.35/30.73 skol24 ) }.
% 30.35/30.73 substitution0:
% 30.35/30.73 X := skol23
% 30.35/30.73 Y := skol25
% 30.35/30.73 Z := skol24
% 30.35/30.73 end
% 30.35/30.73 substitution1:
% 30.35/30.73 end
% 30.35/30.73
% 30.35/30.73 subsumption: (164) {G2,W4,D2,L1,V0,M1} R(1,160) { coll( skol25, skol23,
% 30.35/30.73 skol24 ) }.
% 30.35/30.73 parent0: (55085) {G1,W4,D2,L1,V0,M1} { coll( skol25, skol23, skol24 ) }.
% 30.35/30.73 substitution0:
% 30.35/30.73 end
% 30.35/30.73 permutation0:
% 30.35/30.73 0 ==> 0
% 30.35/30.73 end
% 30.35/30.73
% 30.35/30.73 resolution: (55086) {G1,W4,D2,L1,V0,M1} { coll( skol25, skol24, skol23 )
% 30.35/30.73 }.
% 30.35/30.73 parent0[0]: (0) {G0,W8,D2,L2,V3,M2} I { ! coll( X, Y, Z ), coll( X, Z, Y )
% 30.35/30.73 }.
% 30.35/30.73 parent1[0]: (164) {G2,W4,D2,L1,V0,M1} R(1,160) { coll( skol25, skol23,
% 30.35/30.73 skol24 ) }.
% 30.35/30.73 substitution0:
% 30.35/30.73 X := skol25
% 30.35/30.73 Y := skol23
% 30.35/30.73 Z := skol24
% 30.35/30.73 end
% 30.35/30.73 substitution1:
% 30.35/30.73 end
% 30.35/30.73
% 30.35/30.73 subsumption: (170) {G3,W4,D2,L1,V0,M1} R(164,0) { coll( skol25, skol24,
% 30.35/30.73 skol23 ) }.
% 30.35/30.73 parent0: (55086) {G1,W4,D2,L1,V0,M1} { coll( skol25, skol24, skol23 ) }.
% 30.35/30.73 substitution0:
% 30.35/30.73 end
% 30.35/30.73 permutation0:
% 30.35/30.73 0 ==> 0
% 30.35/30.73 end
% 30.35/30.73
% 30.35/30.73 resolution: (55087) {G1,W4,D2,L1,V0,M1} { coll( skol24, skol25, skol23 )
% 30.35/30.73 }.
% 30.35/30.73 parent0[0]: (1) {G0,W8,D2,L2,V3,M2} I { ! coll( X, Y, Z ), coll( Y, X, Z )
% 30.35/30.73 }.
% 30.35/30.73 parent1[0]: (170) {G3,W4,D2,L1,V0,M1} R(164,0) { coll( skol25, skol24,
% 30.35/30.73 skol23 ) }.
% 30.35/30.73 substitution0:
% 30.35/30.73 X := skol25
% 30.35/30.73 Y := skol24
% 30.35/30.73 Z := skol23
% 30.35/30.73 end
% 30.35/30.73 substitution1:
% 30.35/30.73 end
% 30.35/30.73
% 30.35/30.73 subsumption: (171) {G4,W4,D2,L1,V0,M1} R(170,1) { coll( skol24, skol25,
% 30.35/30.73 skol23 ) }.
% 30.35/30.73 parent0: (55087) {G1,W4,D2,L1,V0,M1} { coll( skol24, skol25, skol23 ) }.
% 30.35/30.73 substitution0:
% 30.35/30.73 end
% 30.35/30.73 permutation0:
% 30.35/30.73 0 ==> 0
% 30.35/30.73 end
% 30.35/30.73
% 30.35/30.73 resolution: (55091) {G1,W12,D2,L3,V4,M3} { coll( X, Z, Y ), ! coll( Z, T,
% 30.35/30.73 X ), ! coll( Z, T, Y ) }.
% 30.35/30.73 parent0[0]: (0) {G0,W8,D2,L2,V3,M2} I { ! coll( X, Y, Z ), coll( X, Z, Y )
% 30.35/30.73 }.
% 30.35/30.73 parent1[2]: (2) {G0,W12,D2,L3,V4,M3} I { ! coll( X, T, Y ), ! coll( X, T, Z
% 30.35/30.73 ), coll( Y, Z, X ) }.
% 30.35/30.73 substitution0:
% 30.35/30.73 X := X
% 30.35/30.73 Y := Y
% 30.35/30.73 Z := Z
% 30.35/30.73 end
% 30.35/30.73 substitution1:
% 30.35/30.73 X := Z
% 30.35/30.73 Y := X
% 30.35/30.73 Z := Y
% 30.35/30.73 T := T
% 30.35/30.73 end
% 30.35/30.73
% 30.35/30.73 subsumption: (195) {G1,W12,D2,L3,V4,M3} R(2,0) { ! coll( X, Y, Z ), ! coll
% 30.35/30.73 ( X, Y, T ), coll( Z, X, T ) }.
% 30.35/30.73 parent0: (55091) {G1,W12,D2,L3,V4,M3} { coll( X, Z, Y ), ! coll( Z, T, X )
% 30.35/30.73 , ! coll( Z, T, Y ) }.
% 30.35/30.73 substitution0:
% 30.35/30.73 X := Z
% 30.35/30.73 Y := T
% 30.35/30.73 Z := X
% 30.35/30.73 T := Y
% 30.35/30.73 end
% 30.35/30.73 permutation0:
% 30.35/30.73 0 ==> 2
% 30.35/30.73 1 ==> 0
% 30.35/30.73 2 ==> 1
% 30.35/30.73 end
% 30.35/30.73
% 30.35/30.73 factor: (55093) {G1,W8,D2,L2,V3,M2} { ! coll( X, Y, Z ), coll( Z, X, Z )
% 30.35/30.73 }.
% 30.35/30.73 parent0[0, 1]: (195) {G1,W12,D2,L3,V4,M3} R(2,0) { ! coll( X, Y, Z ), !
% 30.35/30.73 coll( X, Y, T ), coll( Z, X, T ) }.
% 30.35/30.73 substitution0:
% 30.35/30.73 X := X
% 30.35/30.73 Y := Y
% 30.35/30.73 Z := Z
% 30.35/30.73 T := Z
% 30.35/30.73 end
% 30.35/30.73
% 30.35/30.73 subsumption: (200) {G2,W8,D2,L2,V3,M2} F(195) { ! coll( X, Y, Z ), coll( Z
% 30.35/30.73 , X, Z ) }.
% 30.35/30.73 parent0: (55093) {G1,W8,D2,L2,V3,M2} { ! coll( X, Y, Z ), coll( Z, X, Z )
% 30.35/30.73 }.
% 30.35/30.73 substitution0:
% 30.35/30.73 X := X
% 30.35/30.73 Y := Y
% 30.35/30.73 Z := Z
% 30.35/30.73 end
% 30.35/30.73 permutation0:
% 30.35/30.73 0 ==> 0
% 30.35/30.73 1 ==> 1
% 30.35/30.73 end
% 30.35/30.73
% 30.35/30.73 resolution: (55094) {G1,W12,D2,L3,V4,M3} { coll( Z, X, Z ), ! coll( Z, T,
% 30.35/30.73 X ), ! coll( Z, T, Y ) }.
% 30.35/30.73 parent0[0]: (200) {G2,W8,D2,L2,V3,M2} F(195) { ! coll( X, Y, Z ), coll( Z,
% 30.35/30.73 X, Z ) }.
% 30.35/30.73 parent1[2]: (2) {G0,W12,D2,L3,V4,M3} I { ! coll( X, T, Y ), ! coll( X, T, Z
% 30.35/30.73 ), coll( Y, Z, X ) }.
% 30.35/30.73 substitution0:
% 30.35/30.73 X := X
% 30.35/30.73 Y := Y
% 30.35/30.73 Z := Z
% 30.35/30.73 end
% 30.35/30.73 substitution1:
% 30.35/30.73 X := Z
% 30.35/30.73 Y := X
% 30.35/30.73 Z := Y
% 30.35/30.73 T := T
% 30.35/30.73 end
% 30.35/30.73
% 30.35/30.73 subsumption: (216) {G3,W12,D2,L3,V4,M3} R(200,2) { coll( X, Y, X ), ! coll
% 30.35/30.73 ( X, Z, Y ), ! coll( X, Z, T ) }.
% 30.35/30.73 parent0: (55094) {G1,W12,D2,L3,V4,M3} { coll( Z, X, Z ), ! coll( Z, T, X )
% 30.35/30.73 , ! coll( Z, T, Y ) }.
% 30.35/30.73 substitution0:
% 30.35/30.73 X := Y
% 30.35/30.73 Y := Y
% 30.35/30.73 Z := X
% 30.35/30.73 T := Z
% 30.35/30.73 end
% 30.35/30.73 permutation0:
% 30.35/30.73 0 ==> 0
% 30.35/30.73 1 ==> 1
% 30.35/30.73 2 ==> 1
% 30.35/30.73 end
% 30.35/30.73
% 30.35/30.73 resolution: (55096) {G3,W4,D2,L1,V0,M1} { coll( skol23, skol24, skol23 )
% 30.35/30.73 }.
% 30.35/30.73 parent0[0]: (200) {G2,W8,D2,L2,V3,M2} F(195) { ! coll( X, Y, Z ), coll( Z,
% 30.35/30.73 X, Z ) }.
% 30.35/30.73 parent1[0]: (171) {G4,W4,D2,L1,V0,M1} R(170,1) { coll( skol24, skol25,
% 30.35/30.73 skol23 ) }.
% 30.35/30.73 substitution0:
% 30.35/30.73 X := skol24
% 30.35/30.73 Y := skol25
% 30.35/30.73 Z := skol23
% 30.35/30.73 end
% 30.35/30.73 substitution1:
% 30.35/30.73 end
% 30.35/30.73
% 30.35/30.73 subsumption: (219) {G5,W4,D2,L1,V0,M1} R(200,171) { coll( skol23, skol24,
% 30.35/30.73 skol23 ) }.
% 30.35/30.73 parent0: (55096) {G3,W4,D2,L1,V0,M1} { coll( skol23, skol24, skol23 ) }.
% 30.35/30.73 substitution0:
% 30.35/30.73 end
% 30.35/30.73 permutation0:
% 30.35/30.73 0 ==> 0
% 30.35/30.73 end
% 30.35/30.73
% 30.35/30.73 factor: (55097) {G3,W8,D2,L2,V3,M2} { coll( X, Y, X ), ! coll( X, Z, Y )
% 30.35/30.73 }.
% 30.35/30.73 parent0[1, 2]: (216) {G3,W12,D2,L3,V4,M3} R(200,2) { coll( X, Y, X ), !
% 30.35/30.73 coll( X, Z, Y ), ! coll( X, Z, T ) }.
% 30.35/30.73 substitution0:
% 30.35/30.73 X := X
% 30.35/30.73 Y := Y
% 30.35/30.73 Z := Z
% 30.35/30.73 T := Y
% 30.35/30.73 end
% 30.35/30.73
% 30.35/30.73 subsumption: (230) {G4,W8,D2,L2,V3,M2} F(216) { coll( X, Y, X ), ! coll( X
% 30.35/30.73 , Z, Y ) }.
% 30.35/30.73 parent0: (55097) {G3,W8,D2,L2,V3,M2} { coll( X, Y, X ), ! coll( X, Z, Y )
% 30.35/30.73 }.
% 30.35/30.73 substitution0:
% 30.35/30.73 X := X
% 30.35/30.73 Y := Y
% 30.35/30.73 Z := Z
% 30.35/30.73 end
% 30.35/30.73 permutation0:
% 30.35/30.73 0 ==> 0
% 30.35/30.73 1 ==> 1
% 30.35/30.73 end
% 30.35/30.73
% 30.35/30.73 resolution: (55098) {G1,W15,D2,L3,V6,M3} { ! para( Z, T, U, W ), para( X,
% 30.35/30.73 Y, U, W ), ! para( Z, T, X, Y ) }.
% 30.35/30.73 parent0[0]: (5) {G0,W15,D2,L3,V6,M3} I { ! para( X, Y, U, W ), ! para( U, W
% 30.35/30.73 , Z, T ), para( X, Y, Z, T ) }.
% 30.35/30.73 parent1[1]: (4) {G0,W10,D2,L2,V4,M2} I { ! para( X, Y, Z, T ), para( Z, T,
% 30.35/30.73 X, Y ) }.
% 30.35/30.73 substitution0:
% 30.35/30.73 X := X
% 30.35/30.73 Y := Y
% 30.35/30.73 Z := U
% 30.35/30.73 T := W
% 30.35/30.73 U := Z
% 30.35/30.73 W := T
% 30.35/30.73 end
% 30.35/30.73 substitution1:
% 30.35/30.73 X := Z
% 30.35/30.73 Y := T
% 30.35/30.73 Z := X
% 30.35/30.73 T := Y
% 30.35/30.73 end
% 30.35/30.73
% 30.35/30.73 subsumption: (246) {G1,W15,D2,L3,V6,M3} R(5,4) { ! para( X, Y, Z, T ), para
% 30.35/30.73 ( U, W, Z, T ), ! para( X, Y, U, W ) }.
% 30.35/30.73 parent0: (55098) {G1,W15,D2,L3,V6,M3} { ! para( Z, T, U, W ), para( X, Y,
% 30.35/30.73 U, W ), ! para( Z, T, X, Y ) }.
% 30.35/30.73 substitution0:
% 30.35/30.73 X := U
% 30.35/30.73 Y := W
% 30.35/30.73 Z := X
% 30.35/30.73 T := Y
% 30.35/30.73 U := Z
% 30.35/30.73 W := T
% 30.35/30.73 end
% 30.35/30.73 permutation0:
% 30.35/30.73 0 ==> 0
% 30.35/30.73 1 ==> 1
% 30.35/30.73 2 ==> 2
% 30.35/30.73 end
% 30.35/30.73
% 30.35/30.73 factor: (55102) {G1,W10,D2,L2,V4,M2} { ! para( X, Y, Z, T ), para( Z, T, Z
% 30.35/30.73 , T ) }.
% 30.35/30.73 parent0[0, 2]: (246) {G1,W15,D2,L3,V6,M3} R(5,4) { ! para( X, Y, Z, T ),
% 30.35/30.73 para( U, W, Z, T ), ! para( X, Y, U, W ) }.
% 30.35/30.73 substitution0:
% 30.35/30.73 X := X
% 30.35/30.73 Y := Y
% 30.35/30.73 Z := Z
% 30.35/30.73 T := T
% 30.35/30.73 U := Z
% 30.35/30.73 W := T
% 30.35/30.73 end
% 30.35/30.73
% 30.35/30.73 subsumption: (252) {G2,W10,D2,L2,V4,M2} F(246) { ! para( X, Y, Z, T ), para
% 30.35/30.73 ( Z, T, Z, T ) }.
% 30.35/30.73 parent0: (55102) {G1,W10,D2,L2,V4,M2} { ! para( X, Y, Z, T ), para( Z, T,
% 30.35/30.73 Z, T ) }.
% 30.35/30.73 substitution0:
% 30.35/30.73 X := X
% 30.35/30.73 Y := Y
% 30.35/30.73 Z := Z
% 30.35/30.73 T := T
% 30.35/30.73 end
% 30.35/30.73 permutation0:
% 30.35/30.73 0 ==> 0
% 30.35/30.73 1 ==> 1
% 30.35/30.73 end
% 30.35/30.73
% 30.35/30.73 resolution: (55103) {G1,W4,D2,L1,V0,M1} { coll( skol23, skol23, skol24 )
% 30.35/30.73 }.
% 30.35/30.73 parent0[0]: (0) {G0,W8,D2,L2,V3,M2} I { ! coll( X, Y, Z ), coll( X, Z, Y )
% 30.35/30.73 }.
% 30.35/30.73 parent1[0]: (219) {G5,W4,D2,L1,V0,M1} R(200,171) { coll( skol23, skol24,
% 30.35/30.73 skol23 ) }.
% 30.35/30.73 substitution0:
% 30.35/30.73 X := skol23
% 30.35/30.73 Y := skol24
% 30.35/30.73 Z := skol23
% 30.35/30.73 end
% 30.35/30.73 substitution1:
% 30.35/30.73 end
% 30.35/30.73
% 30.35/30.73 subsumption: (275) {G6,W4,D2,L1,V0,M1} R(219,0) { coll( skol23, skol23,
% 30.35/30.73 skol24 ) }.
% 30.35/30.73 parent0: (55103) {G1,W4,D2,L1,V0,M1} { coll( skol23, skol23, skol24 ) }.
% 30.35/30.73 substitution0:
% 30.35/30.73 end
% 30.35/30.73 permutation0:
% 30.35/30.73 0 ==> 0
% 30.35/30.73 end
% 30.35/30.73
% 30.35/30.73 resolution: (55104) {G1,W8,D2,L2,V1,M2} { ! coll( skol23, skol23, X ),
% 30.35/30.73 coll( skol24, X, skol23 ) }.
% 30.35/30.73 parent0[0]: (2) {G0,W12,D2,L3,V4,M3} I { ! coll( X, T, Y ), ! coll( X, T, Z
% 30.35/30.73 ), coll( Y, Z, X ) }.
% 30.35/30.73 parent1[0]: (275) {G6,W4,D2,L1,V0,M1} R(219,0) { coll( skol23, skol23,
% 30.35/30.73 skol24 ) }.
% 30.35/30.73 substitution0:
% 30.35/30.73 X := skol23
% 30.35/30.73 Y := skol24
% 30.35/30.73 Z := X
% 30.35/30.73 T := skol23
% 30.35/30.73 end
% 30.35/30.73 substitution1:
% 30.35/30.73 end
% 30.35/30.73
% 30.35/30.73 subsumption: (277) {G7,W8,D2,L2,V1,M2} R(275,2) { ! coll( skol23, skol23, X
% 30.35/30.73 ), coll( skol24, X, skol23 ) }.
% 30.35/30.73 parent0: (55104) {G1,W8,D2,L2,V1,M2} { ! coll( skol23, skol23, X ), coll(
% 30.35/30.73 skol24, X, skol23 ) }.
% 30.35/30.73 substitution0:
% 30.35/30.73 X := X
% 30.35/30.73 end
% 30.35/30.73 permutation0:
% 30.35/30.73 0 ==> 0
% 30.35/30.73 1 ==> 1
% 30.35/30.73 end
% 30.35/30.73
% 30.35/30.73 resolution: (55106) {G1,W15,D2,L3,V6,M3} { ! perp( Z, T, U, W ), para( X,
% 30.35/30.73 Y, U, W ), ! perp( Z, T, X, Y ) }.
% 30.35/30.73 parent0[0]: (8) {G0,W15,D2,L3,V6,M3} I { ! perp( X, Y, U, W ), ! perp( U, W
% 30.35/30.73 , Z, T ), para( X, Y, Z, T ) }.
% 30.35/30.73 parent1[1]: (7) {G0,W10,D2,L2,V4,M2} I { ! perp( X, Y, Z, T ), perp( Z, T,
% 30.35/30.73 X, Y ) }.
% 30.35/30.73 substitution0:
% 30.35/30.73 X := X
% 30.35/30.73 Y := Y
% 30.35/30.73 Z := U
% 30.35/30.73 T := W
% 30.35/30.73 U := Z
% 30.35/30.73 W := T
% 30.35/30.73 end
% 30.35/30.73 substitution1:
% 30.35/30.73 X := Z
% 30.35/30.73 Y := T
% 30.35/30.73 Z := X
% 30.35/30.73 T := Y
% 30.35/30.73 end
% 30.35/30.73
% 30.35/30.73 subsumption: (279) {G1,W15,D2,L3,V6,M3} R(8,7) { ! perp( X, Y, Z, T ), para
% 30.35/30.73 ( U, W, Z, T ), ! perp( X, Y, U, W ) }.
% 30.35/30.73 parent0: (55106) {G1,W15,D2,L3,V6,M3} { ! perp( Z, T, U, W ), para( X, Y,
% 30.35/30.73 U, W ), ! perp( Z, T, X, Y ) }.
% 30.35/30.73 substitution0:
% 30.35/30.73 X := U
% 30.35/30.73 Y := W
% 30.35/30.73 Z := X
% 30.35/30.73 T := Y
% 30.35/30.73 U := Z
% 30.35/30.73 W := T
% 30.35/30.73 end
% 30.35/30.73 permutation0:
% 30.35/30.73 0 ==> 0
% 30.35/30.73 1 ==> 1
% 30.35/30.73 2 ==> 2
% 30.35/30.73 end
% 30.35/30.73
% 30.35/30.73 resolution: (55111) {G1,W10,D2,L2,V4,M2} { cyclic( X, Y, T, Z ), ! cyclic
% 30.35/30.73 ( X, Z, Y, T ) }.
% 30.35/30.73 parent0[0]: (13) {G0,W10,D2,L2,V4,M2} I { ! cyclic( X, Y, Z, T ), cyclic( X
% 30.35/30.73 , Y, T, Z ) }.
% 30.35/30.73 parent1[1]: (14) {G0,W10,D2,L2,V4,M2} I { ! cyclic( X, Y, Z, T ), cyclic( X
% 30.35/30.73 , Z, Y, T ) }.
% 30.35/30.73 substitution0:
% 30.35/30.73 X := X
% 30.35/30.73 Y := Y
% 30.35/30.73 Z := Z
% 30.35/30.73 T := T
% 30.35/30.73 end
% 30.35/30.73 substitution1:
% 30.35/30.73 X := X
% 30.35/30.73 Y := Z
% 30.35/30.73 Z := Y
% 30.35/30.73 T := T
% 30.35/30.73 end
% 30.35/30.73
% 30.35/30.73 subsumption: (364) {G1,W10,D2,L2,V4,M2} R(14,13) { ! cyclic( X, Y, Z, T ),
% 30.35/30.73 cyclic( X, Z, T, Y ) }.
% 30.35/30.73 parent0: (55111) {G1,W10,D2,L2,V4,M2} { cyclic( X, Y, T, Z ), ! cyclic( X
% 30.35/30.73 , Z, Y, T ) }.
% 30.35/30.73 substitution0:
% 30.35/30.73 X := X
% 30.35/30.73 Y := Z
% 30.35/30.73 Z := Y
% 30.35/30.73 T := T
% 30.35/30.73 end
% 30.35/30.73 permutation0:
% 30.35/30.73 0 ==> 1
% 30.35/30.73 1 ==> 0
% 30.35/30.73 end
% 30.35/30.73
% 30.35/30.73 resolution: (55112) {G1,W10,D2,L2,V4,M2} { cyclic( Y, X, Z, T ), ! cyclic
% 30.35/30.73 ( X, Z, Y, T ) }.
% 30.35/30.73 parent0[0]: (15) {G0,W10,D2,L2,V4,M2} I { ! cyclic( X, Y, Z, T ), cyclic( Y
% 30.35/30.73 , X, Z, T ) }.
% 30.35/30.73 parent1[1]: (14) {G0,W10,D2,L2,V4,M2} I { ! cyclic( X, Y, Z, T ), cyclic( X
% 30.35/30.73 , Z, Y, T ) }.
% 30.35/30.73 substitution0:
% 30.35/30.73 X := X
% 30.35/30.73 Y := Y
% 30.35/30.73 Z := Z
% 30.35/30.73 T := T
% 30.35/30.73 end
% 30.35/30.73 substitution1:
% 30.35/30.73 X := X
% 30.35/30.73 Y := Z
% 30.35/30.73 Z := Y
% 30.35/30.73 T := T
% 30.35/30.73 end
% 30.35/30.73
% 30.35/30.73 subsumption: (365) {G1,W10,D2,L2,V4,M2} R(15,14) { cyclic( X, Y, Z, T ), !
% 30.35/30.73 cyclic( Y, Z, X, T ) }.
% 30.35/30.73 parent0: (55112) {G1,W10,D2,L2,V4,M2} { cyclic( Y, X, Z, T ), ! cyclic( X
% 30.35/30.73 , Z, Y, T ) }.
% 30.35/30.73 substitution0:
% 30.35/30.73 X := Y
% 30.35/30.73 Y := X
% 30.35/30.73 Z := Z
% 30.35/30.73 T := T
% 30.35/30.73 end
% 30.35/30.73 permutation0:
% 30.35/30.73 0 ==> 0
% 30.35/30.73 1 ==> 1
% 30.35/30.73 end
% 30.35/30.73
% 30.35/30.73 resolution: (55113) {G1,W10,D2,L2,V4,M2} { cyclic( Y, X, Z, T ), ! cyclic
% 30.35/30.73 ( X, Y, T, Z ) }.
% 30.35/30.73 parent0[0]: (15) {G0,W10,D2,L2,V4,M2} I { ! cyclic( X, Y, Z, T ), cyclic( Y
% 30.35/30.73 , X, Z, T ) }.
% 30.35/30.73 parent1[1]: (13) {G0,W10,D2,L2,V4,M2} I { ! cyclic( X, Y, Z, T ), cyclic( X
% 30.35/30.73 , Y, T, Z ) }.
% 30.35/30.73 substitution0:
% 30.35/30.73 X := X
% 30.35/30.73 Y := Y
% 30.35/30.73 Z := Z
% 30.35/30.73 T := T
% 30.35/30.73 end
% 30.35/30.73 substitution1:
% 30.35/30.73 X := X
% 30.35/30.73 Y := Y
% 30.35/30.73 Z := T
% 30.35/30.73 T := Z
% 30.35/30.73 end
% 30.35/30.73
% 30.35/30.73 subsumption: (367) {G1,W10,D2,L2,V4,M2} R(15,13) { cyclic( X, Y, Z, T ), !
% 30.35/30.73 cyclic( Y, X, T, Z ) }.
% 30.35/30.73 parent0: (55113) {G1,W10,D2,L2,V4,M2} { cyclic( Y, X, Z, T ), ! cyclic( X
% 30.35/30.73 , Y, T, Z ) }.
% 30.35/30.73 substitution0:
% 30.35/30.73 X := Y
% 30.35/30.73 Y := X
% 30.35/30.73 Z := Z
% 30.35/30.73 T := T
% 30.35/30.73 end
% 30.35/30.73 permutation0:
% 30.35/30.73 0 ==> 0
% 30.35/30.73 1 ==> 1
% 30.35/30.73 end
% 30.35/30.73
% 30.35/30.73 resolution: (55115) {G1,W8,D2,L2,V3,M2} { coll( Y, X, X ), ! coll( X, Z, Y
% 30.35/30.73 ) }.
% 30.35/30.73 parent0[0]: (1) {G0,W8,D2,L2,V3,M2} I { ! coll( X, Y, Z ), coll( Y, X, Z )
% 30.35/30.73 }.
% 30.35/30.73 parent1[0]: (230) {G4,W8,D2,L2,V3,M2} F(216) { coll( X, Y, X ), ! coll( X,
% 30.35/30.73 Z, Y ) }.
% 30.35/30.73 substitution0:
% 30.35/30.73 X := X
% 30.35/30.73 Y := Y
% 30.35/30.73 Z := X
% 30.35/30.73 end
% 30.35/30.73 substitution1:
% 30.35/30.73 X := X
% 30.35/30.73 Y := Y
% 30.35/30.73 Z := Z
% 30.35/30.73 end
% 30.35/30.73
% 30.35/30.73 subsumption: (374) {G5,W8,D2,L2,V3,M2} R(230,1) { ! coll( X, Y, Z ), coll(
% 30.35/30.73 Z, X, X ) }.
% 30.35/30.73 parent0: (55115) {G1,W8,D2,L2,V3,M2} { coll( Y, X, X ), ! coll( X, Z, Y )
% 30.35/30.73 }.
% 30.35/30.73 substitution0:
% 30.35/30.73 X := X
% 30.35/30.73 Y := Z
% 30.35/30.73 Z := Y
% 30.35/30.73 end
% 30.35/30.73 permutation0:
% 30.35/30.73 0 ==> 1
% 30.35/30.73 1 ==> 0
% 30.35/30.73 end
% 30.35/30.73
% 30.35/30.73 resolution: (55116) {G1,W8,D2,L2,V3,M2} { coll( Z, X, X ), ! coll( Y, X, Z
% 30.35/30.73 ) }.
% 30.35/30.73 parent0[0]: (374) {G5,W8,D2,L2,V3,M2} R(230,1) { ! coll( X, Y, Z ), coll( Z
% 30.35/30.73 , X, X ) }.
% 30.35/30.73 parent1[1]: (1) {G0,W8,D2,L2,V3,M2} I { ! coll( X, Y, Z ), coll( Y, X, Z )
% 30.35/30.73 }.
% 30.35/30.73 substitution0:
% 30.35/30.73 X := X
% 30.35/30.73 Y := Y
% 30.35/30.73 Z := Z
% 30.35/30.73 end
% 30.35/30.73 substitution1:
% 30.35/30.73 X := Y
% 30.35/30.73 Y := X
% 30.35/30.73 Z := Z
% 30.35/30.73 end
% 30.35/30.73
% 30.35/30.73 subsumption: (381) {G6,W8,D2,L2,V3,M2} R(374,1) { coll( X, Y, Y ), ! coll(
% 30.35/30.73 Z, Y, X ) }.
% 30.35/30.73 parent0: (55116) {G1,W8,D2,L2,V3,M2} { coll( Z, X, X ), ! coll( Y, X, Z )
% 30.35/30.73 }.
% 30.35/30.73 substitution0:
% 30.35/30.73 X := Y
% 30.35/30.73 Y := Z
% 30.35/30.73 Z := X
% 30.35/30.73 end
% 30.35/30.73 permutation0:
% 30.35/30.73 0 ==> 0
% 30.35/30.73 1 ==> 1
% 30.35/30.73 end
% 30.35/30.73
% 30.35/30.73 resolution: (55117) {G1,W8,D2,L2,V3,M2} { coll( Z, X, X ), ! coll( X, Z, Y
% 30.35/30.73 ) }.
% 30.35/30.73 parent0[0]: (374) {G5,W8,D2,L2,V3,M2} R(230,1) { ! coll( X, Y, Z ), coll( Z
% 30.35/30.73 , X, X ) }.
% 30.35/30.73 parent1[1]: (0) {G0,W8,D2,L2,V3,M2} I { ! coll( X, Y, Z ), coll( X, Z, Y )
% 30.35/30.73 }.
% 30.35/30.73 substitution0:
% 30.35/30.73 X := X
% 30.35/30.73 Y := Y
% 30.35/30.73 Z := Z
% 30.35/30.73 end
% 30.35/30.73 substitution1:
% 30.35/30.73 X := X
% 30.35/30.73 Y := Z
% 30.35/30.73 Z := Y
% 30.35/30.73 end
% 30.35/30.73
% 30.35/30.73 subsumption: (384) {G6,W8,D2,L2,V3,M2} R(374,0) { coll( X, Y, Y ), ! coll(
% 30.35/30.73 Y, X, Z ) }.
% 30.35/30.73 parent0: (55117) {G1,W8,D2,L2,V3,M2} { coll( Z, X, X ), ! coll( X, Z, Y )
% 30.35/30.73 }.
% 30.35/30.73 substitution0:
% 30.35/30.73 X := Y
% 30.35/30.73 Y := Z
% 30.35/30.73 Z := X
% 30.35/30.73 end
% 30.35/30.73 permutation0:
% 30.35/30.73 0 ==> 0
% 30.35/30.73 1 ==> 1
% 30.35/30.73 end
% 30.35/30.73
% 30.35/30.73 resolution: (55121) {G1,W15,D2,L3,V5,M3} { cyclic( Y, X, Z, T ), ! cyclic
% 30.35/30.73 ( U, X, Y, Z ), ! cyclic( U, X, Y, T ) }.
% 30.35/30.73 parent0[0]: (15) {G0,W10,D2,L2,V4,M2} I { ! cyclic( X, Y, Z, T ), cyclic( Y
% 30.35/30.73 , X, Z, T ) }.
% 30.35/30.73 parent1[2]: (16) {G0,W15,D2,L3,V5,M3} I { ! cyclic( U, X, Y, Z ), ! cyclic
% 30.35/30.73 ( U, X, Y, T ), cyclic( X, Y, Z, T ) }.
% 30.35/30.73 substitution0:
% 30.35/30.73 X := X
% 30.35/30.73 Y := Y
% 30.35/30.73 Z := Z
% 30.35/30.73 T := T
% 30.35/30.73 end
% 30.35/30.73 substitution1:
% 30.35/30.73 X := X
% 30.35/30.73 Y := Y
% 30.35/30.73 Z := Z
% 30.35/30.73 T := T
% 30.35/30.73 U := U
% 30.35/30.73 end
% 30.35/30.73
% 30.35/30.73 subsumption: (394) {G1,W15,D2,L3,V5,M3} R(16,15) { ! cyclic( X, Y, Z, T ),
% 30.35/30.73 ! cyclic( X, Y, Z, U ), cyclic( Z, Y, T, U ) }.
% 30.35/30.73 parent0: (55121) {G1,W15,D2,L3,V5,M3} { cyclic( Y, X, Z, T ), ! cyclic( U
% 30.35/30.73 , X, Y, Z ), ! cyclic( U, X, Y, T ) }.
% 30.35/30.73 substitution0:
% 30.35/30.73 X := Y
% 30.35/30.73 Y := Z
% 30.35/30.73 Z := T
% 30.35/30.73 T := U
% 30.35/30.73 U := X
% 30.35/30.73 end
% 30.35/30.73 permutation0:
% 30.35/30.73 0 ==> 2
% 30.35/30.73 1 ==> 0
% 30.35/30.73 2 ==> 1
% 30.35/30.73 end
% 30.35/30.73
% 30.35/30.73 resolution: (55124) {G1,W15,D2,L3,V5,M3} { ! cyclic( X, Y, Z, T ), cyclic
% 30.35/30.73 ( Y, Z, T, U ), ! cyclic( X, Y, U, Z ) }.
% 30.35/30.73 parent0[1]: (16) {G0,W15,D2,L3,V5,M3} I { ! cyclic( U, X, Y, Z ), ! cyclic
% 30.35/30.73 ( U, X, Y, T ), cyclic( X, Y, Z, T ) }.
% 30.35/30.73 parent1[1]: (13) {G0,W10,D2,L2,V4,M2} I { ! cyclic( X, Y, Z, T ), cyclic( X
% 30.35/30.73 , Y, T, Z ) }.
% 30.35/30.73 substitution0:
% 30.35/30.73 X := Y
% 30.35/30.73 Y := Z
% 30.35/30.73 Z := T
% 30.35/30.73 T := U
% 30.35/30.73 U := X
% 30.35/30.73 end
% 30.35/30.73 substitution1:
% 30.35/30.73 X := X
% 30.35/30.73 Y := Y
% 30.35/30.73 Z := U
% 30.35/30.73 T := Z
% 30.35/30.73 end
% 30.35/30.73
% 30.35/30.73 subsumption: (399) {G1,W15,D2,L3,V5,M3} R(16,13) { ! cyclic( X, Y, Z, T ),
% 30.35/30.73 cyclic( Y, Z, T, U ), ! cyclic( X, Y, U, Z ) }.
% 30.35/30.73 parent0: (55124) {G1,W15,D2,L3,V5,M3} { ! cyclic( X, Y, Z, T ), cyclic( Y
% 30.35/30.73 , Z, T, U ), ! cyclic( X, Y, U, Z ) }.
% 30.35/30.73 substitution0:
% 30.35/30.73 X := X
% 30.35/30.73 Y := Y
% 30.35/30.73 Z := Z
% 30.35/30.73 T := T
% 30.35/30.73 U := U
% 30.35/30.73 end
% 30.35/30.73 permutation0:
% 30.35/30.73 0 ==> 0
% 30.35/30.73 1 ==> 1
% 30.35/30.73 2 ==> 2
% 30.35/30.73 end
% 30.35/30.73
% 30.35/30.73 factor: (55126) {G1,W10,D2,L2,V4,M2} { ! cyclic( X, Y, Z, T ), cyclic( Z,
% 30.35/30.73 Y, T, T ) }.
% 30.35/30.73 parent0[0, 1]: (394) {G1,W15,D2,L3,V5,M3} R(16,15) { ! cyclic( X, Y, Z, T )
% 30.35/30.73 , ! cyclic( X, Y, Z, U ), cyclic( Z, Y, T, U ) }.
% 30.35/30.73 substitution0:
% 30.35/30.73 X := X
% 30.35/30.73 Y := Y
% 30.35/30.73 Z := Z
% 30.35/30.73 T := T
% 30.35/30.73 U := T
% 30.35/30.73 end
% 30.35/30.73
% 30.35/30.73 subsumption: (403) {G2,W10,D2,L2,V4,M2} F(394) { ! cyclic( X, Y, Z, T ),
% 30.35/30.73 cyclic( Z, Y, T, T ) }.
% 30.35/30.73 parent0: (55126) {G1,W10,D2,L2,V4,M2} { ! cyclic( X, Y, Z, T ), cyclic( Z
% 30.35/30.73 , Y, T, T ) }.
% 30.35/30.73 substitution0:
% 30.35/30.73 X := X
% 30.35/30.73 Y := Y
% 30.35/30.73 Z := Z
% 30.35/30.73 T := T
% 30.35/30.73 end
% 30.35/30.73 permutation0:
% 30.35/30.73 0 ==> 0
% 30.35/30.73 1 ==> 1
% 30.35/30.73 end
% 30.35/30.73
% 30.35/30.73 resolution: (55127) {G7,W8,D2,L2,V3,M2} { coll( X, Y, Y ), ! coll( X, Y, Z
% 30.35/30.73 ) }.
% 30.35/30.73 parent0[1]: (384) {G6,W8,D2,L2,V3,M2} R(374,0) { coll( X, Y, Y ), ! coll( Y
% 30.35/30.73 , X, Z ) }.
% 30.35/30.73 parent1[0]: (384) {G6,W8,D2,L2,V3,M2} R(374,0) { coll( X, Y, Y ), ! coll( Y
% 30.35/30.73 , X, Z ) }.
% 30.35/30.73 substitution0:
% 30.35/30.73 X := X
% 30.35/30.73 Y := Y
% 30.35/30.73 Z := X
% 30.35/30.73 end
% 30.35/30.73 substitution1:
% 30.35/30.73 X := Y
% 30.35/30.73 Y := X
% 30.35/30.73 Z := Z
% 30.35/30.73 end
% 30.35/30.73
% 30.35/30.73 subsumption: (424) {G7,W8,D2,L2,V3,M2} R(384,384) { ! coll( X, Y, Z ), coll
% 30.35/30.73 ( X, Y, Y ) }.
% 30.35/30.73 parent0: (55127) {G7,W8,D2,L2,V3,M2} { coll( X, Y, Y ), ! coll( X, Y, Z )
% 30.35/30.73 }.
% 30.35/30.73 substitution0:
% 30.35/30.73 X := X
% 30.35/30.73 Y := Y
% 30.35/30.73 Z := Z
% 30.35/30.73 end
% 30.35/30.73 permutation0:
% 30.35/30.73 0 ==> 1
% 30.35/30.73 1 ==> 0
% 30.35/30.73 end
% 30.35/30.73
% 30.35/30.73 resolution: (55131) {G1,W12,D2,L3,V4,M3} { ! coll( X, Y, Z ), coll( Z, Y,
% 30.35/30.73 X ), ! coll( X, Y, T ) }.
% 30.35/30.73 parent0[1]: (2) {G0,W12,D2,L3,V4,M3} I { ! coll( X, T, Y ), ! coll( X, T, Z
% 30.35/30.73 ), coll( Y, Z, X ) }.
% 30.35/30.73 parent1[1]: (424) {G7,W8,D2,L2,V3,M2} R(384,384) { ! coll( X, Y, Z ), coll
% 30.35/30.73 ( X, Y, Y ) }.
% 30.35/30.73 substitution0:
% 30.35/30.73 X := X
% 30.35/30.73 Y := Z
% 30.35/30.73 Z := Y
% 30.35/30.73 T := Y
% 30.35/30.73 end
% 30.35/30.73 substitution1:
% 30.35/30.73 X := X
% 30.35/30.73 Y := Y
% 30.35/30.73 Z := T
% 30.35/30.73 end
% 30.35/30.73
% 30.35/30.73 subsumption: (427) {G8,W12,D2,L3,V4,M3} R(424,2) { ! coll( X, Y, Z ), !
% 30.35/30.73 coll( X, Y, T ), coll( T, Y, X ) }.
% 30.35/30.73 parent0: (55131) {G1,W12,D2,L3,V4,M3} { ! coll( X, Y, Z ), coll( Z, Y, X )
% 30.35/30.73 , ! coll( X, Y, T ) }.
% 30.35/30.73 substitution0:
% 30.35/30.73 X := X
% 30.35/30.73 Y := Y
% 30.35/30.73 Z := T
% 30.35/30.73 T := Z
% 30.35/30.73 end
% 30.35/30.73 permutation0:
% 30.35/30.73 0 ==> 1
% 30.35/30.73 1 ==> 2
% 30.35/30.73 2 ==> 0
% 30.35/30.73 end
% 30.35/30.73
% 30.35/30.73 factor: (55134) {G8,W8,D2,L2,V3,M2} { ! coll( X, Y, Z ), coll( Z, Y, X )
% 30.35/30.73 }.
% 30.35/30.73 parent0[0, 1]: (427) {G8,W12,D2,L3,V4,M3} R(424,2) { ! coll( X, Y, Z ), !
% 30.35/30.73 coll( X, Y, T ), coll( T, Y, X ) }.
% 30.35/30.73 substitution0:
% 30.35/30.73 X := X
% 30.35/30.73 Y := Y
% 30.35/30.73 Z := Z
% 30.35/30.73 T := Z
% 30.35/30.73 end
% 30.35/30.73
% 30.35/30.73 subsumption: (428) {G9,W8,D2,L2,V3,M2} F(427) { ! coll( X, Y, Z ), coll( Z
% 30.35/30.73 , Y, X ) }.
% 30.35/30.73 parent0: (55134) {G8,W8,D2,L2,V3,M2} { ! coll( X, Y, Z ), coll( Z, Y, X )
% 30.35/30.73 }.
% 30.35/30.73 substitution0:
% 30.35/30.73 X := X
% 30.35/30.73 Y := Y
% 30.35/30.73 Z := Z
% 30.35/30.73 end
% 30.35/30.73 permutation0:
% 30.35/30.73 0 ==> 0
% 30.35/30.73 1 ==> 1
% 30.35/30.73 end
% 30.35/30.73
% 30.35/30.73 resolution: (55135) {G8,W8,D2,L2,V3,M2} { coll( Y, Y, X ), ! coll( X, Y, Z
% 30.35/30.73 ) }.
% 30.35/30.73 parent0[0]: (428) {G9,W8,D2,L2,V3,M2} F(427) { ! coll( X, Y, Z ), coll( Z,
% 30.35/30.73 Y, X ) }.
% 30.35/30.73 parent1[1]: (424) {G7,W8,D2,L2,V3,M2} R(384,384) { ! coll( X, Y, Z ), coll
% 30.35/30.73 ( X, Y, Y ) }.
% 30.35/30.73 substitution0:
% 30.35/30.73 X := X
% 30.35/30.73 Y := Y
% 30.35/30.73 Z := Y
% 30.35/30.73 end
% 30.35/30.73 substitution1:
% 30.35/30.73 X := X
% 30.35/30.73 Y := Y
% 30.35/30.73 Z := Z
% 30.35/30.73 end
% 30.35/30.73
% 30.35/30.73 subsumption: (432) {G10,W8,D2,L2,V3,M2} R(428,424) { coll( X, X, Y ), !
% 30.35/30.73 coll( Y, X, Z ) }.
% 30.35/30.73 parent0: (55135) {G8,W8,D2,L2,V3,M2} { coll( Y, Y, X ), ! coll( X, Y, Z )
% 30.35/30.73 }.
% 30.35/30.73 substitution0:
% 30.35/30.73 X := Y
% 30.35/30.73 Y := X
% 30.35/30.73 Z := Z
% 30.35/30.73 end
% 30.35/30.73 permutation0:
% 30.35/30.73 0 ==> 0
% 30.35/30.73 1 ==> 1
% 30.35/30.73 end
% 30.35/30.73
% 30.35/30.73 resolution: (55136) {G7,W8,D2,L2,V3,M2} { coll( Y, Y, X ), ! coll( Z, Y, X
% 30.35/30.73 ) }.
% 30.35/30.73 parent0[0]: (428) {G9,W8,D2,L2,V3,M2} F(427) { ! coll( X, Y, Z ), coll( Z,
% 30.35/30.73 Y, X ) }.
% 30.35/30.73 parent1[0]: (381) {G6,W8,D2,L2,V3,M2} R(374,1) { coll( X, Y, Y ), ! coll( Z
% 30.35/30.73 , Y, X ) }.
% 30.35/30.73 substitution0:
% 30.35/30.73 X := X
% 30.35/30.73 Y := Y
% 30.35/30.73 Z := Y
% 30.35/30.73 end
% 30.35/30.73 substitution1:
% 30.35/30.73 X := X
% 30.35/30.73 Y := Y
% 30.35/30.73 Z := Z
% 30.35/30.73 end
% 30.35/30.73
% 30.35/30.73 subsumption: (439) {G10,W8,D2,L2,V3,M2} R(428,381) { coll( X, X, Y ), !
% 30.35/30.73 coll( Z, X, Y ) }.
% 30.35/30.73 parent0: (55136) {G7,W8,D2,L2,V3,M2} { coll( Y, Y, X ), ! coll( Z, Y, X )
% 30.35/30.73 }.
% 30.35/30.73 substitution0:
% 30.35/30.73 X := Y
% 30.35/30.73 Y := X
% 30.35/30.73 Z := Z
% 30.35/30.73 end
% 30.35/30.73 permutation0:
% 30.35/30.73 0 ==> 0
% 30.35/30.73 1 ==> 1
% 30.35/30.73 end
% 30.35/30.73
% 30.35/30.73 resolution: (55137) {G1,W5,D2,L1,V0,M1} { ! cong( skol23, skol20, skol22,
% 30.35/30.73 skol23 ) }.
% 30.35/30.73 parent0[0]: (121) {G0,W5,D2,L1,V0,M1} I { ! cong( skol23, skol20, skol23,
% 30.35/30.73 skol22 ) }.
% 30.35/30.73 parent1[1]: (22) {G0,W10,D2,L2,V4,M2} I { ! cong( X, Y, Z, T ), cong( X, Y
% 30.35/30.73 , T, Z ) }.
% 30.35/30.73 substitution0:
% 30.35/30.73 end
% 30.35/30.73 substitution1:
% 30.35/30.73 X := skol23
% 30.35/30.73 Y := skol20
% 30.35/30.73 Z := skol22
% 30.35/30.73 T := skol23
% 30.35/30.73 end
% 30.35/30.73
% 30.35/30.73 subsumption: (486) {G1,W5,D2,L1,V0,M1} R(22,121) { ! cong( skol23, skol20,
% 30.35/30.73 skol22, skol23 ) }.
% 30.35/30.73 parent0: (55137) {G1,W5,D2,L1,V0,M1} { ! cong( skol23, skol20, skol22,
% 30.35/30.73 skol23 ) }.
% 30.35/30.73 substitution0:
% 30.35/30.73 end
% 30.35/30.73 permutation0:
% 30.35/30.73 0 ==> 0
% 30.35/30.73 end
% 30.35/30.73
% 30.35/30.73 resolution: (55138) {G1,W5,D2,L1,V0,M1} { ! cong( skol22, skol23, skol23,
% 30.35/30.73 skol20 ) }.
% 30.35/30.73 parent0[0]: (486) {G1,W5,D2,L1,V0,M1} R(22,121) { ! cong( skol23, skol20,
% 30.35/30.73 skol22, skol23 ) }.
% 30.35/30.73 parent1[1]: (23) {G0,W10,D2,L2,V4,M2} I { ! cong( X, Y, Z, T ), cong( Z, T
% 30.35/30.73 , X, Y ) }.
% 30.35/30.73 substitution0:
% 30.35/30.73 end
% 30.35/30.73 substitution1:
% 30.35/30.73 X := skol22
% 30.35/30.73 Y := skol23
% 30.35/30.73 Z := skol23
% 30.35/30.73 T := skol20
% 30.35/30.73 end
% 30.35/30.73
% 30.35/30.73 subsumption: (492) {G2,W5,D2,L1,V0,M1} R(23,486) { ! cong( skol22, skol23,
% 30.35/30.73 skol23, skol20 ) }.
% 30.35/30.73 parent0: (55138) {G1,W5,D2,L1,V0,M1} { ! cong( skol22, skol23, skol23,
% 30.35/30.73 skol20 ) }.
% 30.35/30.73 substitution0:
% 30.35/30.73 end
% 30.35/30.73 permutation0:
% 30.35/30.73 0 ==> 0
% 30.35/30.73 end
% 30.35/30.73
% 30.35/30.73 resolution: (55139) {G1,W5,D2,L1,V0,M1} { ! cong( skol22, skol23, skol20,
% 30.35/30.73 skol23 ) }.
% 30.35/30.73 parent0[0]: (492) {G2,W5,D2,L1,V0,M1} R(23,486) { ! cong( skol22, skol23,
% 30.35/30.73 skol23, skol20 ) }.
% 30.35/30.73 parent1[1]: (22) {G0,W10,D2,L2,V4,M2} I { ! cong( X, Y, Z, T ), cong( X, Y
% 30.35/30.73 , T, Z ) }.
% 30.35/30.73 substitution0:
% 30.35/30.73 end
% 30.35/30.73 substitution1:
% 30.35/30.73 X := skol22
% 30.35/30.73 Y := skol23
% 30.35/30.73 Z := skol20
% 30.35/30.73 T := skol23
% 30.35/30.73 end
% 30.35/30.73
% 30.35/30.73 subsumption: (504) {G3,W5,D2,L1,V0,M1} R(492,22) { ! cong( skol22, skol23,
% 30.35/30.73 skol20, skol23 ) }.
% 30.35/30.73 parent0: (55139) {G1,W5,D2,L1,V0,M1} { ! cong( skol22, skol23, skol20,
% 30.35/30.73 skol23 ) }.
% 30.35/30.73 substitution0:
% 30.35/30.73 end
% 30.35/30.73 permutation0:
% 30.35/30.73 0 ==> 0
% 30.35/30.73 end
% 30.35/30.73
% 30.35/30.73 resolution: (55140) {G1,W10,D2,L2,V2,M2} { ! cong( skol22, skol23, X, Y )
% 30.35/30.73 , ! cong( X, Y, skol20, skol23 ) }.
% 30.35/30.73 parent0[0]: (504) {G3,W5,D2,L1,V0,M1} R(492,22) { ! cong( skol22, skol23,
% 30.35/30.73 skol20, skol23 ) }.
% 30.35/30.73 parent1[2]: (24) {G0,W15,D2,L3,V6,M3} I { ! cong( X, Y, U, W ), ! cong( U,
% 30.35/30.73 W, Z, T ), cong( X, Y, Z, T ) }.
% 30.35/30.73 substitution0:
% 30.35/30.73 end
% 30.35/30.73 substitution1:
% 30.35/30.73 X := skol22
% 30.35/30.73 Y := skol23
% 30.35/30.73 Z := skol20
% 30.35/30.73 T := skol23
% 30.35/30.73 U := X
% 30.35/30.73 W := Y
% 30.35/30.73 end
% 30.35/30.73
% 30.35/30.73 subsumption: (511) {G4,W10,D2,L2,V2,M2} R(24,504) { ! cong( skol22, skol23
% 30.35/30.73 , X, Y ), ! cong( X, Y, skol20, skol23 ) }.
% 30.35/30.73 parent0: (55140) {G1,W10,D2,L2,V2,M2} { ! cong( skol22, skol23, X, Y ), !
% 30.35/30.73 cong( X, Y, skol20, skol23 ) }.
% 30.35/30.73 substitution0:
% 30.35/30.73 X := X
% 30.35/30.73 Y := Y
% 30.35/30.73 end
% 30.35/30.73 permutation0:
% 30.35/30.73 0 ==> 0
% 30.35/30.73 1 ==> 1
% 30.35/30.73 end
% 30.35/30.73
% 30.35/30.73 resolution: (55141) {G1,W14,D2,L2,V6,M2} { para( X, Y, U, W ), ! eqangle(
% 30.35/30.73 Z, T, X, Y, Z, T, U, W ) }.
% 30.35/30.73 parent0[0]: (38) {G0,W14,D2,L2,V6,M2} I { ! eqangle( X, Y, U, W, Z, T, U, W
% 30.35/30.73 ), para( X, Y, Z, T ) }.
% 30.35/30.73 parent1[1]: (18) {G0,W18,D2,L2,V8,M2} I { ! eqangle( X, Y, Z, T, U, W, V0,
% 30.35/30.73 V1 ), eqangle( Z, T, X, Y, V0, V1, U, W ) }.
% 30.35/30.73 substitution0:
% 30.35/30.73 X := X
% 30.35/30.73 Y := Y
% 30.35/30.73 Z := U
% 30.35/30.73 T := W
% 30.35/30.73 U := Z
% 30.35/30.73 W := T
% 30.35/30.73 end
% 30.35/30.73 substitution1:
% 30.35/30.73 X := Z
% 30.35/30.73 Y := T
% 30.35/30.73 Z := X
% 30.35/30.73 T := Y
% 30.35/30.73 U := Z
% 30.35/30.73 W := T
% 30.35/30.73 V0 := U
% 30.35/30.73 V1 := W
% 30.35/30.73 end
% 30.35/30.73
% 30.35/30.73 subsumption: (768) {G1,W14,D2,L2,V6,M2} R(38,18) { para( X, Y, Z, T ), !
% 30.35/30.73 eqangle( U, W, X, Y, U, W, Z, T ) }.
% 30.35/30.73 parent0: (55141) {G1,W14,D2,L2,V6,M2} { para( X, Y, U, W ), ! eqangle( Z,
% 30.35/30.73 T, X, Y, Z, T, U, W ) }.
% 30.35/30.73 substitution0:
% 30.35/30.73 X := X
% 30.35/30.73 Y := Y
% 30.35/30.73 Z := U
% 30.35/30.73 T := W
% 30.35/30.73 U := Z
% 30.35/30.73 W := T
% 30.35/30.73 end
% 30.35/30.73 permutation0:
% 30.35/30.73 0 ==> 0
% 30.35/30.73 1 ==> 1
% 30.35/30.73 end
% 30.35/30.73
% 30.35/30.73 resolution: (55142) {G1,W14,D2,L2,V6,M2} { eqangle( Z, T, X, Y, Z, T, U, W
% 30.35/30.73 ), ! para( X, Y, U, W ) }.
% 30.35/30.73 parent0[0]: (18) {G0,W18,D2,L2,V8,M2} I { ! eqangle( X, Y, Z, T, U, W, V0,
% 30.35/30.73 V1 ), eqangle( Z, T, X, Y, V0, V1, U, W ) }.
% 30.35/30.73 parent1[1]: (39) {G0,W14,D2,L2,V6,M2} I { ! para( X, Y, Z, T ), eqangle( X
% 30.35/30.73 , Y, U, W, Z, T, U, W ) }.
% 30.35/30.73 substitution0:
% 30.35/30.73 X := X
% 30.35/30.73 Y := Y
% 30.35/30.73 Z := Z
% 30.35/30.73 T := T
% 30.35/30.73 U := U
% 30.35/30.73 W := W
% 30.35/30.73 V0 := Z
% 30.35/30.73 V1 := T
% 30.35/30.73 end
% 30.35/30.73 substitution1:
% 30.35/30.73 X := X
% 30.35/30.73 Y := Y
% 30.35/30.73 Z := U
% 30.35/30.73 T := W
% 30.35/30.73 U := Z
% 30.35/30.73 W := T
% 30.35/30.73 end
% 30.35/30.73
% 30.35/30.73 subsumption: (780) {G1,W14,D2,L2,V6,M2} R(39,18) { ! para( X, Y, Z, T ),
% 30.35/30.73 eqangle( U, W, X, Y, U, W, Z, T ) }.
% 30.35/30.73 parent0: (55142) {G1,W14,D2,L2,V6,M2} { eqangle( Z, T, X, Y, Z, T, U, W )
% 30.35/30.73 , ! para( X, Y, U, W ) }.
% 30.35/30.73 substitution0:
% 30.35/30.73 X := X
% 30.35/30.73 Y := Y
% 30.35/30.73 Z := U
% 30.35/30.73 T := W
% 30.35/30.73 U := Z
% 30.35/30.73 W := T
% 30.35/30.73 end
% 30.35/30.73 permutation0:
% 30.35/30.73 0 ==> 1
% 30.35/30.73 1 ==> 0
% 30.35/30.73 end
% 30.35/30.73
% 30.35/30.73 resolution: (55143) {G1,W18,D2,L3,V4,M3} { ! coll( X, T, Z ), cyclic( Y, Z
% 30.35/30.73 , X, T ), ! eqangle( T, Y, T, Z, X, Y, X, Z ) }.
% 30.35/30.73 parent0[0]: (42) {G0,W18,D2,L3,V4,M3} I { ! eqangle( Z, X, Z, Y, T, X, T, Y
% 30.35/30.73 ), ! coll( Z, T, Y ), cyclic( X, Y, Z, T ) }.
% 30.35/30.73 parent1[1]: (19) {G0,W18,D2,L2,V8,M2} I { ! eqangle( X, Y, Z, T, U, W, V0,
% 30.35/30.73 V1 ), eqangle( U, W, V0, V1, X, Y, Z, T ) }.
% 30.35/30.73 substitution0:
% 30.35/30.73 X := Y
% 30.35/30.73 Y := Z
% 30.35/30.73 Z := X
% 30.35/30.73 T := T
% 30.35/30.73 end
% 30.35/30.73 substitution1:
% 30.35/30.73 X := T
% 30.35/30.73 Y := Y
% 30.35/30.73 Z := T
% 30.35/30.73 T := Z
% 30.35/30.73 U := X
% 30.35/30.73 W := Y
% 30.35/30.73 V0 := X
% 30.35/30.73 V1 := Z
% 30.35/30.73 end
% 30.35/30.73
% 30.35/30.73 subsumption: (835) {G1,W18,D2,L3,V4,M3} R(42,19) { ! coll( X, Y, Z ),
% 30.35/30.73 cyclic( T, Z, X, Y ), ! eqangle( Y, T, Y, Z, X, T, X, Z ) }.
% 30.35/30.73 parent0: (55143) {G1,W18,D2,L3,V4,M3} { ! coll( X, T, Z ), cyclic( Y, Z, X
% 30.35/30.73 , T ), ! eqangle( T, Y, T, Z, X, Y, X, Z ) }.
% 30.35/30.73 substitution0:
% 30.35/30.73 X := X
% 30.35/30.73 Y := T
% 30.35/30.73 Z := Z
% 30.35/30.73 T := Y
% 30.35/30.73 end
% 30.35/30.73 permutation0:
% 30.35/30.73 0 ==> 0
% 30.35/30.73 1 ==> 1
% 30.35/30.73 2 ==> 2
% 30.35/30.73 end
% 30.35/30.73
% 30.35/30.73 resolution: (55144) {G1,W25,D2,L5,V4,M5} { ! cyclic( X, Y, Z, X ), !
% 30.35/30.73 cyclic( X, Y, Z, Y ), ! cyclic( X, Y, Z, T ), cong( X, Y, X, Y ), !
% 30.35/30.73 cyclic( X, Y, Z, T ) }.
% 30.35/30.73 parent0[3]: (43) {G0,W29,D2,L5,V6,M5} I { ! cyclic( X, Y, U, Z ), ! cyclic
% 30.35/30.73 ( X, Y, U, T ), ! cyclic( X, Y, U, W ), ! eqangle( U, X, U, Y, W, Z, W, T
% 30.35/30.73 ), cong( X, Y, Z, T ) }.
% 30.35/30.73 parent1[1]: (40) {G0,W14,D2,L2,V4,M2} I { ! cyclic( X, Y, Z, T ), eqangle(
% 30.35/30.73 Z, X, Z, Y, T, X, T, Y ) }.
% 30.35/30.73 substitution0:
% 30.35/30.73 X := X
% 30.35/30.73 Y := Y
% 30.35/30.73 Z := X
% 30.35/30.73 T := Y
% 30.35/30.73 U := Z
% 30.35/30.73 W := T
% 30.35/30.73 end
% 30.35/30.73 substitution1:
% 30.35/30.73 X := X
% 30.35/30.73 Y := Y
% 30.35/30.73 Z := Z
% 30.35/30.73 T := T
% 30.35/30.73 end
% 30.35/30.73
% 30.35/30.73 factor: (55146) {G1,W20,D2,L4,V3,M4} { ! cyclic( X, Y, Z, X ), ! cyclic( X
% 30.35/30.73 , Y, Z, Y ), cong( X, Y, X, Y ), ! cyclic( X, Y, Z, X ) }.
% 30.35/30.73 parent0[0, 2]: (55144) {G1,W25,D2,L5,V4,M5} { ! cyclic( X, Y, Z, X ), !
% 30.35/30.73 cyclic( X, Y, Z, Y ), ! cyclic( X, Y, Z, T ), cong( X, Y, X, Y ), !
% 30.35/30.73 cyclic( X, Y, Z, T ) }.
% 30.35/30.73 substitution0:
% 30.35/30.73 X := X
% 30.35/30.73 Y := Y
% 30.35/30.73 Z := Z
% 30.35/30.73 T := X
% 30.35/30.73 end
% 30.35/30.73
% 30.35/30.73 subsumption: (908) {G1,W20,D2,L4,V4,M4} R(43,40);f { ! cyclic( X, Y, Z, X )
% 30.35/30.73 , ! cyclic( X, Y, Z, Y ), ! cyclic( X, Y, Z, T ), cong( X, Y, X, Y ) }.
% 30.35/30.73 parent0: (55146) {G1,W20,D2,L4,V3,M4} { ! cyclic( X, Y, Z, X ), ! cyclic(
% 30.35/30.73 X, Y, Z, Y ), cong( X, Y, X, Y ), ! cyclic( X, Y, Z, X ) }.
% 30.35/30.73 substitution0:
% 30.35/30.73 X := X
% 30.35/30.73 Y := Y
% 30.35/30.73 Z := Z
% 30.35/30.73 end
% 30.35/30.73 permutation0:
% 30.35/30.73 0 ==> 0
% 30.35/30.73 1 ==> 1
% 30.35/30.73 2 ==> 3
% 30.35/30.73 3 ==> 0
% 30.35/30.73 end
% 30.35/30.73
% 30.35/30.73 factor: (55151) {G1,W15,D2,L3,V3,M3} { ! cyclic( X, Y, Z, X ), ! cyclic( X
% 30.35/30.73 , Y, Z, Y ), cong( X, Y, X, Y ) }.
% 30.35/30.73 parent0[0, 2]: (908) {G1,W20,D2,L4,V4,M4} R(43,40);f { ! cyclic( X, Y, Z, X
% 30.35/30.73 ), ! cyclic( X, Y, Z, Y ), ! cyclic( X, Y, Z, T ), cong( X, Y, X, Y )
% 30.35/30.73 }.
% 30.35/30.73 substitution0:
% 30.35/30.73 X := X
% 30.35/30.73 Y := Y
% 30.35/30.73 Z := Z
% 30.35/30.73 T := X
% 30.35/30.73 end
% 30.35/30.73
% 30.35/30.73 subsumption: (941) {G2,W15,D2,L3,V3,M3} F(908) { ! cyclic( X, Y, Z, X ), !
% 30.35/30.73 cyclic( X, Y, Z, Y ), cong( X, Y, X, Y ) }.
% 30.35/30.73 parent0: (55151) {G1,W15,D2,L3,V3,M3} { ! cyclic( X, Y, Z, X ), ! cyclic(
% 30.35/30.73 X, Y, Z, Y ), cong( X, Y, X, Y ) }.
% 30.35/30.73 substitution0:
% 30.35/30.73 X := X
% 30.35/30.73 Y := Y
% 30.35/30.73 Z := Z
% 30.35/30.73 end
% 30.35/30.73 permutation0:
% 30.35/30.73 0 ==> 0
% 30.35/30.73 1 ==> 1
% 30.35/30.73 2 ==> 2
% 30.35/30.73 end
% 30.35/30.73
% 30.35/30.73 resolution: (55153) {G1,W9,D2,L2,V0,M2} { ! perp( skol20, skol26, skol20,
% 30.35/30.73 skol23 ), alpha1( skol20, skol20, skol23 ) }.
% 30.35/30.73 parent0[0]: (96) {G0,W14,D2,L3,V4,M3} I { ! perp( X, T, Y, Z ), ! perp( Y,
% 30.35/30.73 T, X, Z ), alpha1( X, Y, Z ) }.
% 30.35/30.73 parent1[0]: (119) {G0,W5,D2,L1,V0,M1} I { perp( skol20, skol26, skol20,
% 30.35/30.73 skol23 ) }.
% 30.35/30.73 substitution0:
% 30.35/30.73 X := skol20
% 30.35/30.73 Y := skol20
% 30.35/30.73 Z := skol23
% 30.35/30.73 T := skol26
% 30.35/30.73 end
% 30.35/30.73 substitution1:
% 30.35/30.73 end
% 30.35/30.73
% 30.35/30.73 resolution: (55154) {G1,W4,D2,L1,V0,M1} { alpha1( skol20, skol20, skol23 )
% 30.35/30.73 }.
% 30.35/30.73 parent0[0]: (55153) {G1,W9,D2,L2,V0,M2} { ! perp( skol20, skol26, skol20,
% 30.35/30.73 skol23 ), alpha1( skol20, skol20, skol23 ) }.
% 30.35/30.73 parent1[0]: (119) {G0,W5,D2,L1,V0,M1} I { perp( skol20, skol26, skol20,
% 30.35/30.73 skol23 ) }.
% 30.35/30.73 substitution0:
% 30.35/30.73 end
% 30.35/30.73 substitution1:
% 30.35/30.73 end
% 30.35/30.73
% 30.35/30.73 subsumption: (4116) {G1,W4,D2,L1,V0,M1} R(96,119);r(119) { alpha1( skol20,
% 30.35/30.73 skol20, skol23 ) }.
% 30.35/30.73 parent0: (55154) {G1,W4,D2,L1,V0,M1} { alpha1( skol20, skol20, skol23 )
% 30.35/30.73 }.
% 30.35/30.73 substitution0:
% 30.35/30.73 end
% 30.35/30.73 permutation0:
% 30.35/30.73 0 ==> 0
% 30.35/30.73 end
% 30.35/30.73
% 30.35/30.73 resolution: (55155) {G1,W7,D3,L1,V1,M1} { coll( skol11( skol20, X, skol23
% 30.35/30.73 ), skol23, skol20 ) }.
% 30.35/30.73 parent0[0]: (97) {G0,W11,D3,L2,V4,M2} I { ! alpha1( X, Y, Z ), coll( skol11
% 30.35/30.73 ( X, T, Z ), Z, X ) }.
% 30.35/30.73 parent1[0]: (4116) {G1,W4,D2,L1,V0,M1} R(96,119);r(119) { alpha1( skol20,
% 30.35/30.73 skol20, skol23 ) }.
% 30.35/30.73 substitution0:
% 30.35/30.73 X := skol20
% 30.35/30.73 Y := skol20
% 30.35/30.73 Z := skol23
% 30.35/30.73 T := X
% 30.35/30.73 end
% 30.35/30.73 substitution1:
% 30.35/30.73 end
% 30.35/30.73
% 30.35/30.73 subsumption: (4121) {G2,W7,D3,L1,V1,M1} R(97,4116) { coll( skol11( skol20,
% 30.35/30.73 X, skol23 ), skol23, skol20 ) }.
% 30.35/30.73 parent0: (55155) {G1,W7,D3,L1,V1,M1} { coll( skol11( skol20, X, skol23 ),
% 30.35/30.73 skol23, skol20 ) }.
% 30.35/30.73 substitution0:
% 30.35/30.73 X := X
% 30.35/30.73 end
% 30.35/30.73 permutation0:
% 30.35/30.73 0 ==> 0
% 30.35/30.73 end
% 30.35/30.73
% 30.35/30.73 resolution: (55156) {G1,W8,D2,L2,V3,M2} { coll( X, Y, Y ), ! alpha1( X, T
% 30.35/30.73 , Y ) }.
% 30.35/30.73 parent0[1]: (381) {G6,W8,D2,L2,V3,M2} R(374,1) { coll( X, Y, Y ), ! coll( Z
% 30.35/30.73 , Y, X ) }.
% 30.35/30.73 parent1[1]: (97) {G0,W11,D3,L2,V4,M2} I { ! alpha1( X, Y, Z ), coll( skol11
% 30.35/30.73 ( X, T, Z ), Z, X ) }.
% 30.35/30.73 substitution0:
% 30.35/30.73 X := X
% 30.35/30.73 Y := Y
% 30.35/30.73 Z := skol11( X, Z, Y )
% 30.35/30.73 end
% 30.35/30.73 substitution1:
% 30.35/30.73 X := X
% 30.35/30.73 Y := T
% 30.35/30.73 Z := Y
% 30.35/30.73 T := Z
% 30.35/30.73 end
% 30.35/30.73
% 30.35/30.73 subsumption: (4218) {G7,W8,D2,L2,V3,M2} R(97,381) { ! alpha1( X, Y, Z ),
% 30.35/30.73 coll( X, Z, Z ) }.
% 30.35/30.73 parent0: (55156) {G1,W8,D2,L2,V3,M2} { coll( X, Y, Y ), ! alpha1( X, T, Y
% 30.35/30.73 ) }.
% 30.35/30.73 substitution0:
% 30.35/30.73 X := X
% 30.35/30.73 Y := Z
% 30.35/30.73 Z := T
% 30.35/30.73 T := Y
% 30.35/30.73 end
% 30.35/30.73 permutation0:
% 30.35/30.73 0 ==> 1
% 30.35/30.73 1 ==> 0
% 30.35/30.73 end
% 30.35/30.73
% 30.35/30.73 resolution: (55157) {G3,W4,D2,L1,V0,M1} { coll( skol23, skol23, skol20 )
% 30.35/30.73 }.
% 30.35/30.73 parent0[1]: (439) {G10,W8,D2,L2,V3,M2} R(428,381) { coll( X, X, Y ), ! coll
% 30.35/30.73 ( Z, X, Y ) }.
% 30.35/30.73 parent1[0]: (4121) {G2,W7,D3,L1,V1,M1} R(97,4116) { coll( skol11( skol20, X
% 30.35/30.73 , skol23 ), skol23, skol20 ) }.
% 30.35/30.73 substitution0:
% 30.35/30.73 X := skol23
% 30.35/30.73 Y := skol20
% 30.35/30.73 Z := skol11( skol20, X, skol23 )
% 30.35/30.73 end
% 30.35/30.73 substitution1:
% 30.35/30.73 X := X
% 30.35/30.73 end
% 30.35/30.73
% 30.35/30.73 subsumption: (4244) {G11,W4,D2,L1,V0,M1} R(4121,439) { coll( skol23, skol23
% 30.35/30.73 , skol20 ) }.
% 30.35/30.73 parent0: (55157) {G3,W4,D2,L1,V0,M1} { coll( skol23, skol23, skol20 ) }.
% 30.35/30.73 substitution0:
% 30.35/30.73 end
% 30.35/30.73 permutation0:
% 30.35/30.73 0 ==> 0
% 30.35/30.73 end
% 30.35/30.73
% 30.35/30.73 resolution: (55158) {G8,W4,D2,L1,V0,M1} { coll( skol24, skol20, skol23 )
% 30.35/30.73 }.
% 30.35/30.73 parent0[0]: (277) {G7,W8,D2,L2,V1,M2} R(275,2) { ! coll( skol23, skol23, X
% 30.35/30.73 ), coll( skol24, X, skol23 ) }.
% 30.35/30.73 parent1[0]: (4244) {G11,W4,D2,L1,V0,M1} R(4121,439) { coll( skol23, skol23
% 30.35/30.73 , skol20 ) }.
% 30.35/30.73 substitution0:
% 30.35/30.73 X := skol20
% 30.35/30.73 end
% 30.35/30.73 substitution1:
% 30.35/30.73 end
% 30.35/30.73
% 30.35/30.73 subsumption: (18332) {G12,W4,D2,L1,V0,M1} R(277,4244) { coll( skol24,
% 30.35/30.73 skol20, skol23 ) }.
% 30.35/30.73 parent0: (55158) {G8,W4,D2,L1,V0,M1} { coll( skol24, skol20, skol23 ) }.
% 30.35/30.73 substitution0:
% 30.35/30.73 end
% 30.35/30.73 permutation0:
% 30.35/30.73 0 ==> 0
% 30.35/30.73 end
% 30.35/30.73
% 30.35/30.73 resolution: (55159) {G11,W4,D2,L1,V0,M1} { coll( skol20, skol20, skol24 )
% 30.35/30.73 }.
% 30.35/30.73 parent0[1]: (432) {G10,W8,D2,L2,V3,M2} R(428,424) { coll( X, X, Y ), ! coll
% 30.35/30.73 ( Y, X, Z ) }.
% 30.35/30.73 parent1[0]: (18332) {G12,W4,D2,L1,V0,M1} R(277,4244) { coll( skol24, skol20
% 30.35/30.73 , skol23 ) }.
% 30.35/30.73 substitution0:
% 30.35/30.73 X := skol20
% 30.35/30.73 Y := skol24
% 30.35/30.73 Z := skol23
% 30.35/30.73 end
% 30.35/30.73 substitution1:
% 30.35/30.73 end
% 30.35/30.73
% 30.35/30.73 subsumption: (18378) {G13,W4,D2,L1,V0,M1} R(18332,432) { coll( skol20,
% 30.35/30.73 skol20, skol24 ) }.
% 30.35/30.73 parent0: (55159) {G11,W4,D2,L1,V0,M1} { coll( skol20, skol20, skol24 ) }.
% 30.35/30.73 substitution0:
% 30.35/30.73 end
% 30.35/30.73 permutation0:
% 30.35/30.73 0 ==> 0
% 30.35/30.73 end
% 30.35/30.73
% 30.35/30.73 resolution: (55160) {G1,W5,D2,L1,V0,M1} { para( skol20, skol25, skol20,
% 30.35/30.73 skol24 ) }.
% 30.35/30.73 parent0[1]: (768) {G1,W14,D2,L2,V6,M2} R(38,18) { para( X, Y, Z, T ), !
% 30.35/30.73 eqangle( U, W, X, Y, U, W, Z, T ) }.
% 30.35/30.73 parent1[0]: (116) {G0,W9,D2,L1,V0,M1} I { eqangle( skol22, skol20, skol20,
% 30.35/30.73 skol25, skol22, skol20, skol20, skol24 ) }.
% 30.35/30.73 substitution0:
% 30.35/30.73 X := skol20
% 30.35/30.73 Y := skol25
% 30.35/30.73 Z := skol20
% 30.35/30.73 T := skol24
% 30.35/30.73 U := skol22
% 30.35/30.73 W := skol20
% 30.35/30.73 end
% 30.35/30.73 substitution1:
% 30.35/30.73 end
% 30.35/30.73
% 30.35/30.73 subsumption: (43918) {G2,W5,D2,L1,V0,M1} R(768,116) { para( skol20, skol25
% 30.35/30.73 , skol20, skol24 ) }.
% 30.35/30.73 parent0: (55160) {G1,W5,D2,L1,V0,M1} { para( skol20, skol25, skol20,
% 30.35/30.73 skol24 ) }.
% 30.35/30.73 substitution0:
% 30.35/30.73 end
% 30.35/30.73 permutation0:
% 30.35/30.73 0 ==> 0
% 30.35/30.73 end
% 30.35/30.73
% 30.35/30.73 resolution: (55161) {G3,W5,D2,L1,V0,M1} { para( skol20, skol24, skol20,
% 30.35/30.73 skol24 ) }.
% 30.35/30.73 parent0[0]: (252) {G2,W10,D2,L2,V4,M2} F(246) { ! para( X, Y, Z, T ), para
% 30.35/30.73 ( Z, T, Z, T ) }.
% 30.35/30.73 parent1[0]: (43918) {G2,W5,D2,L1,V0,M1} R(768,116) { para( skol20, skol25,
% 30.35/30.73 skol20, skol24 ) }.
% 30.35/30.73 substitution0:
% 30.35/30.73 X := skol20
% 30.35/30.73 Y := skol25
% 30.35/30.73 Z := skol20
% 30.35/30.73 T := skol24
% 30.35/30.73 end
% 30.35/30.73 substitution1:
% 30.35/30.73 end
% 30.35/30.73
% 30.35/30.73 subsumption: (43936) {G3,W5,D2,L1,V0,M1} R(43918,252) { para( skol20,
% 30.35/30.73 skol24, skol20, skol24 ) }.
% 30.35/30.73 parent0: (55161) {G3,W5,D2,L1,V0,M1} { para( skol20, skol24, skol20,
% 30.35/30.73 skol24 ) }.
% 30.35/30.73 substitution0:
% 30.35/30.73 end
% 30.35/30.73 permutation0:
% 30.35/30.73 0 ==> 0
% 30.35/30.73 end
% 30.35/30.73
% 30.35/30.73 resolution: (55162) {G2,W9,D2,L1,V2,M1} { eqangle( X, Y, skol20, skol24, X
% 30.35/30.73 , Y, skol20, skol24 ) }.
% 30.35/30.73 parent0[0]: (780) {G1,W14,D2,L2,V6,M2} R(39,18) { ! para( X, Y, Z, T ),
% 30.35/30.73 eqangle( U, W, X, Y, U, W, Z, T ) }.
% 30.35/30.73 parent1[0]: (43936) {G3,W5,D2,L1,V0,M1} R(43918,252) { para( skol20, skol24
% 30.35/30.73 , skol20, skol24 ) }.
% 30.35/30.73 substitution0:
% 30.35/30.73 X := skol20
% 30.35/30.73 Y := skol24
% 30.35/30.73 Z := skol20
% 30.35/30.73 T := skol24
% 30.35/30.73 U := X
% 30.35/30.73 W := Y
% 30.35/30.73 end
% 30.35/30.73 substitution1:
% 30.35/30.73 end
% 30.35/30.73
% 30.35/30.73 subsumption: (44853) {G4,W9,D2,L1,V2,M1} R(780,43936) { eqangle( X, Y,
% 30.35/30.73 skol20, skol24, X, Y, skol20, skol24 ) }.
% 30.35/30.73 parent0: (55162) {G2,W9,D2,L1,V2,M1} { eqangle( X, Y, skol20, skol24, X, Y
% 30.35/30.73 , skol20, skol24 ) }.
% 30.35/30.73 substitution0:
% 30.35/30.73 X := X
% 30.35/30.73 Y := Y
% 30.35/30.73 end
% 30.35/30.73 permutation0:
% 30.35/30.73 0 ==> 0
% 30.35/30.73 end
% 30.35/30.73
% 30.35/30.73 resolution: (55163) {G2,W14,D2,L2,V1,M2} { cyclic( X, skol24, skol20,
% 30.35/30.73 skol20 ), ! eqangle( skol20, X, skol20, skol24, skol20, X, skol20, skol24
% 30.35/30.73 ) }.
% 30.35/30.73 parent0[0]: (835) {G1,W18,D2,L3,V4,M3} R(42,19) { ! coll( X, Y, Z ), cyclic
% 30.35/30.73 ( T, Z, X, Y ), ! eqangle( Y, T, Y, Z, X, T, X, Z ) }.
% 30.35/30.73 parent1[0]: (18378) {G13,W4,D2,L1,V0,M1} R(18332,432) { coll( skol20,
% 30.35/30.73 skol20, skol24 ) }.
% 30.35/30.73 substitution0:
% 30.35/30.73 X := skol20
% 30.35/30.73 Y := skol20
% 30.35/30.73 Z := skol24
% 30.35/30.73 T := X
% 30.35/30.73 end
% 30.35/30.73 substitution1:
% 30.35/30.73 end
% 30.35/30.73
% 30.35/30.73 resolution: (55164) {G3,W5,D2,L1,V1,M1} { cyclic( X, skol24, skol20,
% 30.35/30.73 skol20 ) }.
% 30.35/30.73 parent0[1]: (55163) {G2,W14,D2,L2,V1,M2} { cyclic( X, skol24, skol20,
% 30.35/30.73 skol20 ), ! eqangle( skol20, X, skol20, skol24, skol20, X, skol20, skol24
% 30.35/30.73 ) }.
% 30.35/30.73 parent1[0]: (44853) {G4,W9,D2,L1,V2,M1} R(780,43936) { eqangle( X, Y,
% 30.35/30.73 skol20, skol24, X, Y, skol20, skol24 ) }.
% 30.35/30.73 substitution0:
% 30.35/30.73 X := X
% 30.35/30.73 end
% 30.35/30.73 substitution1:
% 30.35/30.73 X := skol20
% 30.35/30.73 Y := X
% 30.35/30.73 end
% 30.35/30.73
% 30.35/30.73 subsumption: (48763) {G14,W5,D2,L1,V1,M1} R(835,18378);r(44853) { cyclic( X
% 30.35/30.73 , skol24, skol20, skol20 ) }.
% 30.35/30.73 parent0: (55164) {G3,W5,D2,L1,V1,M1} { cyclic( X, skol24, skol20, skol20 )
% 30.35/30.73 }.
% 30.35/30.73 substitution0:
% 30.35/30.73 X := X
% 30.35/30.73 end
% 30.35/30.73 permutation0:
% 30.35/30.73 0 ==> 0
% 30.35/30.73 end
% 30.35/30.73
% 30.35/30.73 resolution: (55165) {G2,W5,D2,L1,V1,M1} { cyclic( skol24, X, skol20,
% 30.35/30.73 skol20 ) }.
% 30.35/30.73 parent0[1]: (367) {G1,W10,D2,L2,V4,M2} R(15,13) { cyclic( X, Y, Z, T ), !
% 30.35/30.73 cyclic( Y, X, T, Z ) }.
% 30.35/30.73 parent1[0]: (48763) {G14,W5,D2,L1,V1,M1} R(835,18378);r(44853) { cyclic( X
% 30.35/30.73 , skol24, skol20, skol20 ) }.
% 30.35/30.73 substitution0:
% 30.35/30.73 X := skol24
% 30.35/30.73 Y := X
% 30.35/30.73 Z := skol20
% 30.35/30.73 T := skol20
% 30.35/30.73 end
% 30.35/30.73 substitution1:
% 30.35/30.73 X := X
% 30.35/30.73 end
% 30.35/30.73
% 30.35/30.73 subsumption: (48938) {G15,W5,D2,L1,V1,M1} R(48763,367) { cyclic( skol24, X
% 30.35/30.73 , skol20, skol20 ) }.
% 30.35/30.73 parent0: (55165) {G2,W5,D2,L1,V1,M1} { cyclic( skol24, X, skol20, skol20 )
% 30.35/30.73 }.
% 30.35/30.73 substitution0:
% 30.35/30.73 X := X
% 30.35/30.73 end
% 30.35/30.73 permutation0:
% 30.35/30.73 0 ==> 0
% 30.35/30.73 end
% 30.35/30.73
% 30.35/30.73 resolution: (55166) {G3,W5,D2,L1,V1,M1} { cyclic( skol20, X, skol20,
% 30.35/30.73 skol20 ) }.
% 30.35/30.73 parent0[0]: (403) {G2,W10,D2,L2,V4,M2} F(394) { ! cyclic( X, Y, Z, T ),
% 30.35/30.73 cyclic( Z, Y, T, T ) }.
% 30.35/30.73 parent1[0]: (48938) {G15,W5,D2,L1,V1,M1} R(48763,367) { cyclic( skol24, X,
% 30.35/30.73 skol20, skol20 ) }.
% 30.35/30.73 substitution0:
% 30.35/30.73 X := skol24
% 30.35/30.73 Y := X
% 30.35/30.73 Z := skol20
% 30.35/30.73 T := skol20
% 30.35/30.73 end
% 30.35/30.73 substitution1:
% 30.35/30.73 X := X
% 30.35/30.73 end
% 30.35/30.73
% 30.35/30.73 subsumption: (48950) {G16,W5,D2,L1,V1,M1} R(48938,403) { cyclic( skol20, X
% 30.35/30.73 , skol20, skol20 ) }.
% 30.35/30.73 parent0: (55166) {G3,W5,D2,L1,V1,M1} { cyclic( skol20, X, skol20, skol20 )
% 30.35/30.73 }.
% 30.35/30.73 substitution0:
% 30.35/30.73 X := X
% 30.35/30.73 end
% 30.35/30.73 permutation0:
% 30.35/30.73 0 ==> 0
% 30.35/30.73 end
% 30.35/30.73
% 30.35/30.73 resolution: (55167) {G2,W5,D2,L1,V1,M1} { cyclic( skol20, skol20, X,
% 30.35/30.73 skol20 ) }.
% 30.35/30.73 parent0[1]: (365) {G1,W10,D2,L2,V4,M2} R(15,14) { cyclic( X, Y, Z, T ), !
% 30.35/30.73 cyclic( Y, Z, X, T ) }.
% 30.35/30.73 parent1[0]: (48950) {G16,W5,D2,L1,V1,M1} R(48938,403) { cyclic( skol20, X,
% 30.35/30.73 skol20, skol20 ) }.
% 30.35/30.73 substitution0:
% 30.35/30.73 X := skol20
% 30.35/30.73 Y := skol20
% 30.35/30.73 Z := X
% 30.35/30.73 T := skol20
% 30.35/30.73 end
% 30.35/30.73 substitution1:
% 30.35/30.73 X := X
% 30.35/30.73 end
% 30.35/30.73
% 30.35/30.73 subsumption: (48972) {G17,W5,D2,L1,V1,M1} R(48950,365) { cyclic( skol20,
% 30.35/30.73 skol20, X, skol20 ) }.
% 30.35/30.73 parent0: (55167) {G2,W5,D2,L1,V1,M1} { cyclic( skol20, skol20, X, skol20 )
% 30.35/30.73 }.
% 30.35/30.73 substitution0:
% 30.35/30.73 X := X
% 30.35/30.73 end
% 30.35/30.73 permutation0:
% 30.35/30.73 0 ==> 0
% 30.35/30.73 end
% 30.35/30.73
% 30.35/30.73 resolution: (55168) {G2,W5,D2,L1,V1,M1} { cyclic( skol20, skol20, skol20,
% 30.35/30.73 X ) }.
% 30.35/30.73 parent0[0]: (364) {G1,W10,D2,L2,V4,M2} R(14,13) { ! cyclic( X, Y, Z, T ),
% 30.35/30.73 cyclic( X, Z, T, Y ) }.
% 30.35/30.73 parent1[0]: (48950) {G16,W5,D2,L1,V1,M1} R(48938,403) { cyclic( skol20, X,
% 30.35/30.73 skol20, skol20 ) }.
% 30.35/30.73 substitution0:
% 30.35/30.73 X := skol20
% 30.35/30.73 Y := X
% 30.35/30.73 Z := skol20
% 30.35/30.73 T := skol20
% 30.35/30.73 end
% 30.35/30.73 substitution1:
% 30.35/30.73 X := X
% 30.35/30.73 end
% 30.35/30.73
% 30.35/30.73 subsumption: (48973) {G17,W5,D2,L1,V1,M1} R(48950,364) { cyclic( skol20,
% 30.35/30.73 skol20, skol20, X ) }.
% 30.35/30.73 parent0: (55168) {G2,W5,D2,L1,V1,M1} { cyclic( skol20, skol20, skol20, X )
% 30.35/30.73 }.
% 30.35/30.73 substitution0:
% 30.35/30.73 X := X
% 30.35/30.73 end
% 30.35/30.73 permutation0:
% 30.35/30.73 0 ==> 0
% 30.35/30.73 end
% 30.35/30.73
% 30.35/30.73 resolution: (55170) {G2,W10,D2,L2,V2,M2} { ! cyclic( skol20, skol20,
% 30.35/30.73 skol20, X ), cyclic( skol20, skol20, X, Y ) }.
% 30.35/30.73 parent0[2]: (399) {G1,W15,D2,L3,V5,M3} R(16,13) { ! cyclic( X, Y, Z, T ),
% 30.35/30.73 cyclic( Y, Z, T, U ), ! cyclic( X, Y, U, Z ) }.
% 30.35/30.73 parent1[0]: (48972) {G17,W5,D2,L1,V1,M1} R(48950,365) { cyclic( skol20,
% 30.35/30.73 skol20, X, skol20 ) }.
% 30.35/30.73 substitution0:
% 30.35/30.73 X := skol20
% 30.35/30.73 Y := skol20
% 30.35/30.73 Z := skol20
% 30.35/30.73 T := X
% 30.35/30.73 U := Y
% 30.35/30.73 end
% 30.35/30.73 substitution1:
% 30.35/30.73 X := Y
% 30.35/30.73 end
% 30.35/30.73
% 30.35/30.73 resolution: (55171) {G3,W5,D2,L1,V2,M1} { cyclic( skol20, skol20, X, Y )
% 30.35/30.73 }.
% 30.35/30.73 parent0[0]: (55170) {G2,W10,D2,L2,V2,M2} { ! cyclic( skol20, skol20,
% 30.35/30.73 skol20, X ), cyclic( skol20, skol20, X, Y ) }.
% 30.35/30.73 parent1[0]: (48973) {G17,W5,D2,L1,V1,M1} R(48950,364) { cyclic( skol20,
% 30.35/30.73 skol20, skol20, X ) }.
% 30.35/30.73 substitution0:
% 30.35/30.73 X := X
% 30.35/30.73 Y := Y
% 30.35/30.73 end
% 30.35/30.73 substitution1:
% 30.35/30.73 X := X
% 30.35/30.73 end
% 30.35/30.73
% 30.35/30.73 subsumption: (48978) {G18,W5,D2,L1,V2,M1} R(48972,399);r(48973) { cyclic(
% 30.35/30.73 skol20, skol20, X, Y ) }.
% 30.35/30.73 parent0: (55171) {G3,W5,D2,L1,V2,M1} { cyclic( skol20, skol20, X, Y ) }.
% 30.35/30.73 substitution0:
% 30.35/30.73 X := X
% 30.35/30.73 Y := Y
% 30.35/30.73 end
% 30.35/30.73 permutation0:
% 30.35/30.73 0 ==> 0
% 30.35/30.73 end
% 30.35/30.73
% 30.35/30.73 resolution: (55172) {G2,W10,D2,L2,V3,M2} { cyclic( skol20, X, Y, Z ), !
% 30.35/30.73 cyclic( skol20, skol20, Z, X ) }.
% 30.35/30.73 parent0[0]: (399) {G1,W15,D2,L3,V5,M3} R(16,13) { ! cyclic( X, Y, Z, T ),
% 30.35/30.73 cyclic( Y, Z, T, U ), ! cyclic( X, Y, U, Z ) }.
% 30.35/30.73 parent1[0]: (48978) {G18,W5,D2,L1,V2,M1} R(48972,399);r(48973) { cyclic(
% 30.35/30.73 skol20, skol20, X, Y ) }.
% 30.35/30.73 substitution0:
% 30.35/30.73 X := skol20
% 30.35/30.73 Y := skol20
% 30.35/30.73 Z := X
% 30.35/30.73 T := Y
% 30.35/30.73 U := Z
% 30.35/30.73 end
% 30.35/30.73 substitution1:
% 30.35/30.73 X := X
% 30.35/30.73 Y := Y
% 30.35/30.73 end
% 30.35/30.73
% 30.35/30.73 resolution: (55174) {G3,W5,D2,L1,V3,M1} { cyclic( skol20, X, Y, Z ) }.
% 30.35/30.73 parent0[1]: (55172) {G2,W10,D2,L2,V3,M2} { cyclic( skol20, X, Y, Z ), !
% 30.35/30.73 cyclic( skol20, skol20, Z, X ) }.
% 30.35/30.73 parent1[0]: (48978) {G18,W5,D2,L1,V2,M1} R(48972,399);r(48973) { cyclic(
% 30.35/30.73 skol20, skol20, X, Y ) }.
% 30.35/30.73 substitution0:
% 30.35/30.73 X := X
% 30.35/30.73 Y := Y
% 30.35/30.73 Z := Z
% 30.35/30.73 end
% 30.35/30.73 substitution1:
% 30.35/30.73 X := Z
% 30.35/30.73 Y := X
% 30.35/30.73 end
% 30.35/30.73
% 30.35/30.73 subsumption: (49176) {G19,W5,D2,L1,V3,M1} R(48978,399);r(48978) { cyclic(
% 30.35/30.73 skol20, X, Y, Z ) }.
% 30.35/30.73 parent0: (55174) {G3,W5,D2,L1,V3,M1} { cyclic( skol20, X, Y, Z ) }.
% 30.35/30.73 substitution0:
% 30.35/30.73 X := X
% 30.35/30.73 Y := Y
% 30.35/30.73 Z := Z
% 30.35/30.73 end
% 30.35/30.73 permutation0:
% 30.35/30.73 0 ==> 0
% 30.35/30.73 end
% 30.35/30.73
% 30.35/30.73 resolution: (55175) {G2,W10,D2,L2,V4,M2} { cyclic( X, Y, Z, T ), ! cyclic
% 30.35/30.73 ( skol20, X, T, Y ) }.
% 30.35/30.73 parent0[0]: (399) {G1,W15,D2,L3,V5,M3} R(16,13) { ! cyclic( X, Y, Z, T ),
% 30.35/30.73 cyclic( Y, Z, T, U ), ! cyclic( X, Y, U, Z ) }.
% 30.35/30.73 parent1[0]: (49176) {G19,W5,D2,L1,V3,M1} R(48978,399);r(48978) { cyclic(
% 30.35/30.73 skol20, X, Y, Z ) }.
% 30.35/30.73 substitution0:
% 30.35/30.73 X := skol20
% 30.35/30.73 Y := X
% 30.35/30.73 Z := Y
% 30.35/30.73 T := Z
% 30.35/30.73 U := T
% 30.35/30.73 end
% 30.35/30.73 substitution1:
% 30.35/30.73 X := X
% 30.35/30.73 Y := Y
% 30.35/30.73 Z := Z
% 30.35/30.73 end
% 30.35/30.73
% 30.35/30.73 resolution: (55177) {G3,W5,D2,L1,V4,M1} { cyclic( X, Y, Z, T ) }.
% 30.35/30.73 parent0[1]: (55175) {G2,W10,D2,L2,V4,M2} { cyclic( X, Y, Z, T ), ! cyclic
% 30.35/30.73 ( skol20, X, T, Y ) }.
% 30.35/30.73 parent1[0]: (49176) {G19,W5,D2,L1,V3,M1} R(48978,399);r(48978) { cyclic(
% 30.35/30.73 skol20, X, Y, Z ) }.
% 30.35/30.73 substitution0:
% 30.35/30.73 X := X
% 30.35/30.73 Y := Y
% 30.35/30.73 Z := Z
% 30.35/30.73 T := T
% 30.35/30.73 end
% 30.35/30.73 substitution1:
% 30.35/30.73 X := X
% 30.35/30.73 Y := T
% 30.35/30.73 Z := Y
% 30.35/30.73 end
% 30.35/30.73
% 30.35/30.73 subsumption: (49195) {G20,W5,D2,L1,V4,M1} R(49176,399);r(49176) { cyclic( X
% 30.35/30.73 , Y, Z, T ) }.
% 30.35/30.73 parent0: (55177) {G3,W5,D2,L1,V4,M1} { cyclic( X, Y, Z, T ) }.
% 30.35/30.73 substitution0:
% 30.35/30.73 X := X
% 30.35/30.73 Y := Y
% 30.35/30.73 Z := Z
% 30.35/30.73 T := T
% 30.35/30.73 end
% 30.35/30.73 permutation0:
% 30.35/30.73 0 ==> 0
% 30.35/30.73 end
% 30.35/30.73
% 30.35/30.73 resolution: (55180) {G3,W10,D2,L2,V3,M2} { ! cyclic( X, Y, Z, Y ), cong( X
% 30.35/30.73 , Y, X, Y ) }.
% 30.35/30.73 parent0[0]: (941) {G2,W15,D2,L3,V3,M3} F(908) { ! cyclic( X, Y, Z, X ), !
% 30.35/30.73 cyclic( X, Y, Z, Y ), cong( X, Y, X, Y ) }.
% 30.35/30.73 parent1[0]: (49195) {G20,W5,D2,L1,V4,M1} R(49176,399);r(49176) { cyclic( X
% 30.35/30.73 , Y, Z, T ) }.
% 30.35/30.73 substitution0:
% 30.35/30.73 X := X
% 30.35/30.73 Y := Y
% 30.35/30.73 Z := Z
% 30.35/30.73 end
% 30.35/30.73 substitution1:
% 30.35/30.73 X := X
% 30.35/30.73 Y := Y
% 30.35/30.73 Z := Z
% 30.35/30.73 T := X
% 30.35/30.73 end
% 30.35/30.73
% 30.35/30.73 resolution: (55182) {G4,W5,D2,L1,V2,M1} { cong( X, Y, X, Y ) }.
% 30.35/30.73 parent0[0]: (55180) {G3,W10,D2,L2,V3,M2} { ! cyclic( X, Y, Z, Y ), cong( X
% 30.35/30.73 , Y, X, Y ) }.
% 30.35/30.73 parent1[0]: (49195) {G20,W5,D2,L1,V4,M1} R(49176,399);r(49176) { cyclic( X
% 30.35/30.73 , Y, Z, T ) }.
% 30.35/30.73 substitution0:
% 30.35/30.73 X := X
% 30.35/30.73 Y := Y
% 30.35/30.73 Z := Z
% 30.35/30.73 end
% 30.35/30.73 substitution1:
% 30.35/30.73 X := X
% 30.35/30.73 Y := Y
% 30.35/30.73 Z := Z
% 30.35/30.73 T := Y
% 30.35/30.73 end
% 30.35/30.73
% 30.35/30.73 subsumption: (54207) {G21,W5,D2,L1,V2,M1} S(941);r(49195);r(49195) { cong(
% 30.35/30.73 X, Y, X, Y ) }.
% 30.35/30.73 parent0: (55182) {G4,W5,D2,L1,V2,M1} { cong( X, Y, X, Y ) }.
% 30.35/30.73 substitution0:
% 30.35/30.73 X := X
% 30.35/30.73 Y := Y
% 30.35/30.73 end
% 30.35/30.73 permutation0:
% 30.35/30.73 0 ==> 0
% 30.35/30.73 end
% 30.35/30.73
% 30.35/30.73 resolution: (55183) {G1,W10,D2,L2,V3,M2} { ! cong( X, Z, X, Z ), perp( X,
% 30.35/30.73 X, Y, Z ) }.
% 30.35/30.73 parent0[0]: (56) {G0,W15,D2,L3,V4,M3} I { ! cong( X, Z, Y, Z ), ! cong( X,
% 30.35/30.73 T, Y, T ), perp( X, Y, Z, T ) }.
% 30.35/30.73 parent1[0]: (54207) {G21,W5,D2,L1,V2,M1} S(941);r(49195);r(49195) { cong( X
% 30.35/30.73 , Y, X, Y ) }.
% 30.35/30.73 substitution0:
% 30.35/30.73 X := X
% 30.35/30.73 Y := X
% 30.35/30.73 Z := Y
% 30.35/30.73 T := Z
% 30.35/30.73 end
% 30.35/30.73 substitution1:
% 30.35/30.73 X := X
% 30.35/30.73 Y := Y
% 30.35/30.73 end
% 30.35/30.73
% 30.35/30.73 resolution: (55185) {G2,W5,D2,L1,V3,M1} { perp( X, X, Z, Y ) }.
% 30.35/30.73 parent0[0]: (55183) {G1,W10,D2,L2,V3,M2} { ! cong( X, Z, X, Z ), perp( X,
% 30.35/30.73 X, Y, Z ) }.
% 30.35/30.73 parent1[0]: (54207) {G21,W5,D2,L1,V2,M1} S(941);r(49195);r(49195) { cong( X
% 30.35/30.73 , Y, X, Y ) }.
% 30.35/30.73 substitution0:
% 30.35/30.73 X := X
% 30.35/30.73 Y := Z
% 30.35/30.73 Z := Y
% 30.35/30.73 end
% 30.35/30.73 substitution1:
% 30.35/30.73 X := X
% 30.35/30.73 Y := Y
% 30.35/30.73 end
% 30.35/30.73
% 30.35/30.73 subsumption: (54224) {G22,W5,D2,L1,V3,M1} R(54207,56);r(54207) { perp( X, X
% 30.35/30.73 , Z, Y ) }.
% 30.35/30.73 parent0: (55185) {G2,W5,D2,L1,V3,M1} { perp( X, X, Z, Y ) }.
% 30.35/30.73 substitution0:
% 30.35/30.73 X := X
% 30.35/30.73 Y := Y
% 30.35/30.73 Z := Z
% 30.35/30.73 end
% 30.35/30.73 permutation0:
% 30.35/30.73 0 ==> 0
% 30.35/30.73 end
% 30.35/30.73
% 30.35/30.73 resolution: (55186) {G2,W10,D2,L2,V5,M2} { para( T, U, Y, Z ), ! perp( X,
% 30.35/30.73 X, T, U ) }.
% 30.35/30.73 parent0[0]: (279) {G1,W15,D2,L3,V6,M3} R(8,7) { ! perp( X, Y, Z, T ), para
% 30.35/30.73 ( U, W, Z, T ), ! perp( X, Y, U, W ) }.
% 30.35/30.73 parent1[0]: (54224) {G22,W5,D2,L1,V3,M1} R(54207,56);r(54207) { perp( X, X
% 30.35/30.73 , Z, Y ) }.
% 30.35/30.73 substitution0:
% 30.35/30.73 X := X
% 30.35/30.73 Y := X
% 30.35/30.73 Z := Y
% 30.35/30.73 T := Z
% 30.35/30.73 U := T
% 30.35/30.73 W := U
% 30.35/30.73 end
% 30.35/30.73 substitution1:
% 30.35/30.73 X := X
% 30.35/30.73 Y := Z
% 30.35/30.73 Z := Y
% 30.35/30.73 end
% 30.35/30.73
% 30.35/30.73 resolution: (55188) {G3,W5,D2,L1,V4,M1} { para( X, Y, Z, T ) }.
% 30.35/30.73 parent0[1]: (55186) {G2,W10,D2,L2,V5,M2} { para( T, U, Y, Z ), ! perp( X,
% 30.35/30.73 X, T, U ) }.
% 30.35/30.73 parent1[0]: (54224) {G22,W5,D2,L1,V3,M1} R(54207,56);r(54207) { perp( X, X
% 30.35/30.73 , Z, Y ) }.
% 30.35/30.73 substitution0:
% 30.35/30.73 X := U
% 30.35/30.73 Y := Z
% 30.35/30.73 Z := T
% 30.35/30.73 T := X
% 30.35/30.73 U := Y
% 30.35/30.73 end
% 30.35/30.73 substitution1:
% 30.35/30.73 X := U
% 30.35/30.73 Y := Y
% 30.35/30.73 Z := X
% 30.35/30.73 end
% 30.35/30.73
% 30.35/30.73 subsumption: (54253) {G23,W5,D2,L1,V4,M1} R(54224,279);r(54224) { para( X,
% 30.35/30.73 Y, Z, T ) }.
% 30.35/30.73 parent0: (55188) {G3,W5,D2,L1,V4,M1} { para( X, Y, Z, T ) }.
% 30.35/30.73 substitution0:
% 30.35/30.73 X := X
% 30.35/30.73 Y := Y
% 30.35/30.73 Z := Z
% 30.35/30.73 T := T
% 30.35/30.73 end
% 30.35/30.73 permutation0:
% 30.35/30.73 0 ==> 0
% 30.35/30.73 end
% 30.35/30.73
% 30.35/30.73 resolution: (55189) {G2,W4,D2,L1,V2,M1} { alpha1( X, X, Y ) }.
% 30.35/30.73 parent0[0]: (151) {G1,W9,D2,L2,V3,M2} F(96) { ! perp( X, Y, X, Z ), alpha1
% 30.35/30.73 ( X, X, Z ) }.
% 30.35/30.73 parent1[0]: (54224) {G22,W5,D2,L1,V3,M1} R(54207,56);r(54207) { perp( X, X
% 30.35/30.73 , Z, Y ) }.
% 30.35/30.73 substitution0:
% 30.35/30.73 X := X
% 30.35/30.73 Y := X
% 30.35/30.73 Z := Y
% 30.35/30.73 end
% 30.35/30.73 substitution1:
% 30.35/30.73 X := X
% 30.35/30.73 Y := Y
% 30.35/30.73 Z := X
% 30.35/30.73 end
% 30.35/30.73
% 30.35/30.73 subsumption: (54255) {G23,W4,D2,L1,V2,M1} R(54224,151) { alpha1( X, X, Y )
% 30.35/30.73 }.
% 30.35/30.73 parent0: (55189) {G2,W4,D2,L1,V2,M1} { alpha1( X, X, Y ) }.
% 30.35/30.73 substitution0:
% 30.35/30.73 X := X
% 30.35/30.73 Y := Y
% 30.35/30.73 end
% 30.35/30.73 permutation0:
% 30.35/30.73 0 ==> 0
% 30.35/30.73 end
% 30.35/30.73
% 30.35/30.73 resolution: (55190) {G1,W10,D2,L2,V5,M2} { ! para( X, Y, Z, Z ), perp( X,
% 30.35/30.73 Y, T, U ) }.
% 30.35/30.73 parent0[1]: (9) {G0,W15,D2,L3,V6,M3} I { ! para( X, Y, U, W ), ! perp( U, W
% 30.35/30.73 , Z, T ), perp( X, Y, Z, T ) }.
% 30.35/30.73 parent1[0]: (54224) {G22,W5,D2,L1,V3,M1} R(54207,56);r(54207) { perp( X, X
% 30.35/30.73 , Z, Y ) }.
% 30.35/30.73 substitution0:
% 30.35/30.73 X := X
% 30.35/30.73 Y := Y
% 30.35/30.73 Z := T
% 30.35/30.73 T := U
% 30.35/30.73 U := Z
% 30.35/30.73 W := Z
% 30.35/30.73 end
% 30.35/30.73 substitution1:
% 30.35/30.73 X := Z
% 30.35/30.73 Y := U
% 30.35/30.73 Z := T
% 30.35/30.73 end
% 30.35/30.73
% 30.35/30.73 resolution: (55191) {G2,W5,D2,L1,V4,M1} { perp( X, Y, T, U ) }.
% 30.35/30.73 parent0[0]: (55190) {G1,W10,D2,L2,V5,M2} { ! para( X, Y, Z, Z ), perp( X,
% 30.35/30.73 Y, T, U ) }.
% 30.35/30.73 parent1[0]: (54253) {G23,W5,D2,L1,V4,M1} R(54224,279);r(54224) { para( X, Y
% 30.35/30.73 , Z, T ) }.
% 30.35/30.73 substitution0:
% 30.35/30.73 X := X
% 30.35/30.73 Y := Y
% 30.35/30.73 Z := Z
% 30.35/30.73 T := T
% 30.35/30.73 U := U
% 30.35/30.73 end
% 30.35/30.73 substitution1:
% 30.35/30.73 X := X
% 30.35/30.73 Y := Y
% 30.35/30.73 Z := Z
% 30.35/30.73 T := Z
% 30.35/30.73 end
% 30.35/30.73
% 30.35/30.73 subsumption: (54275) {G24,W5,D2,L1,V4,M1} R(54224,9);r(54253) { perp( X, Y
% 30.35/30.73 , T, U ) }.
% 30.35/30.73 parent0: (55191) {G2,W5,D2,L1,V4,M1} { perp( X, Y, T, U ) }.
% 30.35/30.73 substitution0:
% 30.35/30.73 X := X
% 30.35/30.73 Y := Y
% 30.35/30.73 Z := W
% 30.35/30.73 T := T
% 30.35/30.73 U := U
% 30.35/30.73 end
% 30.35/30.73 permutation0:
% 30.35/30.73 0 ==> 0
% 30.35/30.73 end
% 30.35/30.73
% 30.35/30.73 resolution: (55192) {G8,W4,D2,L1,V2,M1} { coll( X, Y, Y ) }.
% 30.35/30.73 parent0[0]: (4218) {G7,W8,D2,L2,V3,M2} R(97,381) { ! alpha1( X, Y, Z ),
% 30.35/30.73 coll( X, Z, Z ) }.
% 30.35/30.73 parent1[0]: (54255) {G23,W4,D2,L1,V2,M1} R(54224,151) { alpha1( X, X, Y )
% 30.35/30.73 }.
% 30.35/30.73 substitution0:
% 30.35/30.73 X := X
% 30.35/30.73 Y := X
% 30.35/30.73 Z := Y
% 30.35/30.73 end
% 30.35/30.73 substitution1:
% 30.35/30.73 X := X
% 30.35/30.73 Y := Y
% 30.35/30.73 end
% 30.35/30.73
% 30.35/30.73 subsumption: (54351) {G24,W4,D2,L1,V2,M1} R(54255,4218) { coll( X, Y, Y )
% 30.35/30.73 }.
% 30.35/30.73 parent0: (55192) {G8,W4,D2,L1,V2,M1} { coll( X, Y, Y ) }.
% 30.35/30.73 substitution0:
% 30.35/30.73 X := X
% 30.35/30.73 Y := Y
% 30.35/30.73 end
% 30.35/30.73 permutation0:
% 30.35/30.73 0 ==> 0
% 30.35/30.73 end
% 30.35/30.73
% 30.35/30.73 resolution: (55193) {G1,W9,D2,L2,V2,M2} { ! cong( X, Y, X, Y ), midp( X, Y
% 30.35/30.73 , Y ) }.
% 30.35/30.73 parent0[1]: (67) {G0,W13,D2,L3,V3,M3} I { ! cong( X, Y, X, Z ), ! coll( X,
% 30.35/30.73 Y, Z ), midp( X, Y, Z ) }.
% 30.35/30.73 parent1[0]: (54351) {G24,W4,D2,L1,V2,M1} R(54255,4218) { coll( X, Y, Y )
% 30.35/30.73 }.
% 30.35/30.73 substitution0:
% 30.35/30.73 X := X
% 30.35/30.73 Y := Y
% 30.35/30.73 Z := Y
% 30.35/30.73 end
% 30.35/30.73 substitution1:
% 30.35/30.73 X := X
% 30.35/30.73 Y := Y
% 30.35/30.73 end
% 30.35/30.73
% 30.35/30.73 resolution: (55194) {G2,W4,D2,L1,V2,M1} { midp( X, Y, Y ) }.
% 30.35/30.73 parent0[0]: (55193) {G1,W9,D2,L2,V2,M2} { ! cong( X, Y, X, Y ), midp( X, Y
% 30.35/30.73 , Y ) }.
% 30.35/30.73 parent1[0]: (54207) {G21,W5,D2,L1,V2,M1} S(941);r(49195);r(49195) { cong( X
% 30.35/30.73 , Y, X, Y ) }.
% 30.35/30.73 substitution0:
% 30.35/30.73 X := X
% 30.35/30.73 Y := Y
% 30.35/30.73 end
% 30.35/30.73 substitution1:
% 30.35/30.73 X := X
% 30.35/30.73 Y := Y
% 30.35/30.73 end
% 30.35/30.73
% 30.35/30.73 subsumption: (54363) {G25,W4,D2,L1,V2,M1} R(54351,67);r(54207) { midp( X, Y
% 30.35/30.73 , Y ) }.
% 30.35/30.73 parent0: (55194) {G2,W4,D2,L1,V2,M1} { midp( X, Y, Y ) }.
% 30.35/30.73 substitution0:
% 30.35/30.73 X := X
% 30.35/30.73 Y := Y
% 30.35/30.73 end
% 30.35/30.73 permutation0:
% 30.35/30.73 0 ==> 0
% 30.35/30.73 end
% 30.35/30.73
% 30.35/30.73 resolution: (55195) {G1,W10,D2,L2,V3,M2} { ! perp( X, Y, Y, X ), cong( X,
% 30.35/30.73 Z, Y, Z ) }.
% 30.35/30.73 parent0[1]: (52) {G0,W14,D2,L3,V4,M3} I { ! perp( X, Y, Y, T ), ! midp( Z,
% 30.35/30.73 X, T ), cong( X, Z, Y, Z ) }.
% 30.35/30.73 parent1[0]: (54363) {G25,W4,D2,L1,V2,M1} R(54351,67);r(54207) { midp( X, Y
% 30.35/30.73 , Y ) }.
% 30.35/30.73 substitution0:
% 30.35/30.73 X := X
% 30.35/30.73 Y := Y
% 30.35/30.73 Z := Z
% 30.35/30.73 T := X
% 30.35/30.73 end
% 30.35/30.73 substitution1:
% 30.35/30.73 X := Z
% 30.35/30.73 Y := X
% 30.35/30.73 end
% 30.35/30.73
% 30.35/30.73 resolution: (55196) {G2,W5,D2,L1,V3,M1} { cong( X, Z, Y, Z ) }.
% 30.35/30.73 parent0[0]: (55195) {G1,W10,D2,L2,V3,M2} { ! perp( X, Y, Y, X ), cong( X,
% 30.35/30.73 Z, Y, Z ) }.
% 30.35/30.73 parent1[0]: (54275) {G24,W5,D2,L1,V4,M1} R(54224,9);r(54253) { perp( X, Y,
% 30.35/30.73 T, U ) }.
% 30.35/30.73 substitution0:
% 30.35/30.73 X := X
% 30.35/30.73 Y := Y
% 30.35/30.73 Z := Z
% 30.35/30.73 end
% 30.35/30.73 substitution1:
% 30.35/30.73 X := X
% 30.35/30.73 Y := Y
% 30.35/30.73 Z := T
% 30.35/30.73 T := Y
% 30.35/30.73 U := X
% 30.35/30.73 end
% 30.35/30.73
% 30.35/30.73 subsumption: (54387) {G26,W5,D2,L1,V3,M1} R(54363,52);r(54275) { cong( X, Z
% 30.35/30.73 , Y, Z ) }.
% 30.35/30.73 parent0: (55196) {G2,W5,D2,L1,V3,M1} { cong( X, Z, Y, Z ) }.
% 30.35/30.73 substitution0:
% 30.35/30.73 X := X
% 30.35/30.73 Y := Y
% 30.35/30.73 Z := Z
% 30.35/30.73 end
% 30.35/30.73 permutation0:
% 30.35/30.73 0 ==> 0
% 30.35/30.73 end
% 30.35/30.73
% 30.35/30.73 resolution: (55197) {G5,W5,D2,L1,V1,M1} { ! cong( X, skol23, skol20,
% 30.35/30.73 skol23 ) }.
% 30.35/30.73 parent0[0]: (511) {G4,W10,D2,L2,V2,M2} R(24,504) { ! cong( skol22, skol23,
% 30.35/30.73 X, Y ), ! cong( X, Y, skol20, skol23 ) }.
% 30.35/30.73 parent1[0]: (54387) {G26,W5,D2,L1,V3,M1} R(54363,52);r(54275) { cong( X, Z
% 30.35/30.73 , Y, Z ) }.
% 30.35/30.73 substitution0:
% 30.35/30.73 X := X
% 30.35/30.73 Y := skol23
% 30.35/30.73 end
% 30.35/30.73 substitution1:
% 30.35/30.73 X := skol22
% 30.35/30.73 Y := X
% 30.35/30.73 Z := skol23
% 30.35/30.73 end
% 30.35/30.73
% 30.35/30.73 resolution: (55199) {G6,W0,D0,L0,V0,M0} { }.
% 30.35/30.73 parent0[0]: (55197) {G5,W5,D2,L1,V1,M1} { ! cong( X, skol23, skol20,
% 30.35/30.73 skol23 ) }.
% 30.35/30.73 parent1[0]: (54387) {G26,W5,D2,L1,V3,M1} R(54363,52);r(54275) { cong( X, Z
% 30.35/30.73 , Y, Z ) }.
% 30.35/30.73 substitution0:
% 30.35/30.73 X := X
% 30.35/30.73 end
% 30.35/30.73 substitution1:
% 30.35/30.73 X := X
% 30.35/30.73 Y := skol20
% 30.35/30.73 Z := skol23
% 30.35/30.73 end
% 30.35/30.73
% 30.35/30.73 subsumption: (54444) {G27,W0,D0,L0,V0,M0} R(54387,511);r(54387) { }.
% 30.35/30.73 parent0: (55199) {G6,W0,D0,L0,V0,M0} { }.
% 30.35/30.73 substitution0:
% 30.35/30.73 end
% 30.35/30.73 permutation0:
% 30.35/30.73 end
% 30.35/30.73
% 30.35/30.73 Proof check complete!
% 30.35/30.73
% 30.35/30.73 Memory use:
% 30.35/30.73
% 30.35/30.73 space for terms: 774356
% 30.35/30.73 space for clauses: 2190422
% 30.35/30.73
% 30.35/30.73
% 30.35/30.73 clauses generated: 763093
% 30.35/30.73 clauses kept: 54445
% 30.35/30.73 clauses selected: 3003
% 30.35/30.73 clauses deleted: 8119
% 30.35/30.73 clauses inuse deleted: 227
% 30.35/30.73
% 30.35/30.73 subsentry: 43295876
% 30.35/30.73 literals s-matched: 25417142
% 30.35/30.73 literals matched: 15438581
% 30.35/30.73 full subsumption: 3293629
% 30.35/30.73
% 30.35/30.73 checksum: 1117714922
% 30.35/30.73
% 30.35/30.73
% 30.35/30.73 Bliksem ended
%------------------------------------------------------------------------------