TSTP Solution File: GEO542+1 by Bliksem---1.12
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : GEO542+1 : TPTP v8.1.0. Released v7.5.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n028.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 0s
% DateTime : Sat Jul 16 02:54:36 EDT 2022
% Result : Theorem 35.35s 35.76s
% Output : Refutation 35.35s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.11 % Problem : GEO542+1 : TPTP v8.1.0. Released v7.5.0.
% 0.10/0.12 % Command : bliksem %s
% 0.11/0.32 % Computer : n028.cluster.edu
% 0.11/0.32 % Model : x86_64 x86_64
% 0.11/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.32 % Memory : 8042.1875MB
% 0.11/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.32 % CPULimit : 300
% 0.11/0.32 % DateTime : Sat Jun 18 08:29:14 EDT 2022
% 0.11/0.32 % CPUTime :
% 0.71/1.09 *** allocated 10000 integers for termspace/termends
% 0.71/1.09 *** allocated 10000 integers for clauses
% 0.71/1.09 *** allocated 10000 integers for justifications
% 0.71/1.09 Bliksem 1.12
% 0.71/1.09
% 0.71/1.09
% 0.71/1.09 Automatic Strategy Selection
% 0.71/1.09
% 0.71/1.09 *** allocated 15000 integers for termspace/termends
% 0.71/1.09
% 0.71/1.09 Clauses:
% 0.71/1.09
% 0.71/1.09 { ! coll( X, Y, Z ), coll( X, Z, Y ) }.
% 0.71/1.09 { ! coll( X, Y, Z ), coll( Y, X, Z ) }.
% 0.71/1.09 { ! coll( X, T, Y ), ! coll( X, T, Z ), coll( Y, Z, X ) }.
% 0.71/1.09 { ! para( X, Y, Z, T ), para( X, Y, T, Z ) }.
% 0.71/1.09 { ! para( X, Y, Z, T ), para( Z, T, X, Y ) }.
% 0.71/1.09 { ! para( X, Y, U, W ), ! para( U, W, Z, T ), para( X, Y, Z, T ) }.
% 0.71/1.09 { ! perp( X, Y, Z, T ), perp( X, Y, T, Z ) }.
% 0.71/1.09 { ! perp( X, Y, Z, T ), perp( Z, T, X, Y ) }.
% 0.71/1.09 { ! perp( X, Y, U, W ), ! perp( U, W, Z, T ), para( X, Y, Z, T ) }.
% 0.71/1.09 { ! para( X, Y, U, W ), ! perp( U, W, Z, T ), perp( X, Y, Z, T ) }.
% 0.71/1.09 { ! midp( Z, Y, X ), midp( Z, X, Y ) }.
% 0.71/1.09 { ! cong( T, X, T, Y ), ! cong( T, X, T, Z ), circle( T, X, Y, Z ) }.
% 0.71/1.09 { ! cong( U, X, U, Y ), ! cong( U, X, U, Z ), ! cong( U, X, U, T ), cyclic
% 0.71/1.09 ( X, Y, Z, T ) }.
% 0.71/1.09 { ! cyclic( X, Y, Z, T ), cyclic( X, Y, T, Z ) }.
% 0.71/1.09 { ! cyclic( X, Y, Z, T ), cyclic( X, Z, Y, T ) }.
% 0.71/1.09 { ! cyclic( X, Y, Z, T ), cyclic( Y, X, Z, T ) }.
% 0.71/1.09 { ! cyclic( U, X, Y, Z ), ! cyclic( U, X, Y, T ), cyclic( X, Y, Z, T ) }.
% 0.71/1.09 { ! eqangle( X, Y, Z, T, U, W, V0, V1 ), eqangle( Y, X, Z, T, U, W, V0, V1
% 0.71/1.09 ) }.
% 0.71/1.09 { ! eqangle( X, Y, Z, T, U, W, V0, V1 ), eqangle( Z, T, X, Y, V0, V1, U, W
% 0.71/1.09 ) }.
% 0.71/1.09 { ! eqangle( X, Y, Z, T, U, W, V0, V1 ), eqangle( U, W, V0, V1, X, Y, Z, T
% 0.71/1.09 ) }.
% 0.71/1.09 { ! eqangle( X, Y, Z, T, U, W, V0, V1 ), eqangle( X, Y, U, W, Z, T, V0, V1
% 0.71/1.09 ) }.
% 0.71/1.09 { ! eqangle( X, Y, Z, T, V2, V3, V4, V5 ), ! eqangle( V2, V3, V4, V5, U, W
% 0.71/1.09 , V0, V1 ), eqangle( X, Y, Z, T, U, W, V0, V1 ) }.
% 0.71/1.09 { ! cong( X, Y, Z, T ), cong( X, Y, T, Z ) }.
% 0.71/1.09 { ! cong( X, Y, Z, T ), cong( Z, T, X, Y ) }.
% 0.71/1.09 { ! cong( X, Y, U, W ), ! cong( U, W, Z, T ), cong( X, Y, Z, T ) }.
% 0.71/1.09 { ! eqratio( X, Y, Z, T, U, W, V0, V1 ), eqratio( Y, X, Z, T, U, W, V0, V1
% 0.71/1.09 ) }.
% 0.71/1.09 { ! eqratio( X, Y, Z, T, U, W, V0, V1 ), eqratio( Z, T, X, Y, V0, V1, U, W
% 0.71/1.09 ) }.
% 0.71/1.09 { ! eqratio( X, Y, Z, T, U, W, V0, V1 ), eqratio( U, W, V0, V1, X, Y, Z, T
% 0.71/1.09 ) }.
% 0.71/1.09 { ! eqratio( X, Y, Z, T, U, W, V0, V1 ), eqratio( X, Y, U, W, Z, T, V0, V1
% 0.71/1.09 ) }.
% 0.71/1.09 { ! eqratio( X, Y, Z, T, V2, V3, V4, V5 ), ! eqratio( V2, V3, V4, V5, U, W
% 0.71/1.09 , V0, V1 ), eqratio( X, Y, Z, T, U, W, V0, V1 ) }.
% 0.71/1.09 { ! simtri( X, Z, Y, T, W, U ), simtri( X, Y, Z, T, U, W ) }.
% 0.71/1.09 { ! simtri( Y, X, Z, U, T, W ), simtri( X, Y, Z, T, U, W ) }.
% 0.71/1.09 { ! simtri( T, U, W, X, Y, Z ), simtri( X, Y, Z, T, U, W ) }.
% 0.71/1.09 { ! simtri( X, Y, Z, V0, V1, V2 ), ! simtri( V0, V1, V2, T, U, W ), simtri
% 0.71/1.09 ( X, Y, Z, T, U, W ) }.
% 0.71/1.09 { ! contri( X, Z, Y, T, W, U ), contri( X, Y, Z, T, U, W ) }.
% 0.71/1.09 { ! contri( Y, X, Z, U, T, W ), contri( X, Y, Z, T, U, W ) }.
% 0.71/1.09 { ! contri( T, U, W, X, Y, Z ), contri( X, Y, Z, T, U, W ) }.
% 0.71/1.09 { ! contri( X, Y, Z, V0, V1, V2 ), ! contri( V0, V1, V2, T, U, W ), contri
% 0.71/1.09 ( X, Y, Z, T, U, W ) }.
% 0.71/1.09 { ! eqangle( X, Y, U, W, Z, T, U, W ), para( X, Y, Z, T ) }.
% 0.71/1.09 { ! para( X, Y, Z, T ), eqangle( X, Y, U, W, Z, T, U, W ) }.
% 0.71/1.09 { ! cyclic( X, Y, Z, T ), eqangle( Z, X, Z, Y, T, X, T, Y ) }.
% 0.71/1.09 { ! eqangle( Z, X, Z, Y, T, X, T, Y ), coll( Z, T, X ), cyclic( X, Y, Z, T
% 0.71/1.09 ) }.
% 0.71/1.09 { ! eqangle( Z, X, Z, Y, T, X, T, Y ), ! coll( Z, T, Y ), cyclic( X, Y, Z,
% 0.71/1.09 T ) }.
% 0.71/1.09 { ! cyclic( X, Y, U, Z ), ! cyclic( X, Y, U, T ), ! cyclic( X, Y, U, W ), !
% 0.71/1.09 eqangle( U, X, U, Y, W, Z, W, T ), cong( X, Y, Z, T ) }.
% 0.71/1.09 { ! midp( Z, U, X ), ! midp( T, U, Y ), para( Z, T, X, Y ) }.
% 0.71/1.09 { ! midp( U, X, T ), ! para( U, Z, T, Y ), ! coll( Z, X, Y ), midp( Z, X, Y
% 0.71/1.09 ) }.
% 0.71/1.09 { ! cong( Z, X, Z, Y ), eqangle( Z, X, X, Y, X, Y, Z, Y ) }.
% 0.71/1.09 { ! eqangle( Z, X, X, Y, X, Y, Z, Y ), coll( Z, X, Y ), cong( Z, X, Z, Y )
% 0.71/1.09 }.
% 0.71/1.09 { ! circle( U, X, Y, Z ), ! perp( U, X, X, T ), eqangle( X, T, X, Y, Z, X,
% 0.71/1.09 Z, Y ) }.
% 0.71/1.09 { ! circle( Y, X, T, U ), ! eqangle( X, Z, X, T, U, X, U, T ), perp( Y, X,
% 0.71/1.09 X, Z ) }.
% 0.71/1.09 { ! circle( T, X, Y, Z ), ! midp( U, Y, Z ), eqangle( X, Y, X, Z, T, Y, T,
% 0.71/1.09 U ) }.
% 0.71/1.09 { ! circle( U, T, X, Y ), ! coll( Z, X, Y ), ! eqangle( T, X, T, Y, U, X, U
% 0.71/1.09 , Z ), midp( Z, X, Y ) }.
% 0.71/1.09 { ! perp( X, Y, Y, T ), ! midp( Z, X, T ), cong( X, Z, Y, Z ) }.
% 0.71/1.09 { ! circle( T, X, Y, Z ), ! coll( T, X, Z ), perp( X, Y, Y, Z ) }.
% 0.71/1.09 { ! cyclic( X, Y, Z, T ), ! para( X, Y, Z, T ), eqangle( X, T, Z, T, Z, T,
% 0.71/1.09 Z, Y ) }.
% 0.71/1.09 { ! midp( T, X, Y ), ! perp( Z, T, X, Y ), cong( Z, X, Z, Y ) }.
% 0.71/1.09 { ! cong( X, Z, Y, Z ), ! cong( X, T, Y, T ), perp( X, Y, Z, T ) }.
% 0.71/1.09 { ! cong( X, Y, T, Y ), ! cong( X, Z, T, Z ), ! cyclic( X, T, Y, Z ), perp
% 0.71/1.09 ( Y, X, X, Z ) }.
% 0.71/1.09 { ! eqangle( X, Y, Y, Z, T, U, U, W ), ! eqangle( X, Z, Y, Z, T, W, U, W )
% 0.71/1.09 , coll( X, Y, Z ), simtri( X, Y, Z, T, U, W ) }.
% 0.71/1.09 { ! simtri( X, Y, Z, T, U, W ), eqratio( X, Y, X, Z, T, U, T, W ) }.
% 0.71/1.09 { ! simtri( X, Y, Z, T, U, W ), eqangle( X, Y, Y, Z, T, U, U, W ) }.
% 0.71/1.09 { ! simtri( X, Y, Z, T, U, W ), ! cong( X, Y, T, U ), contri( X, Y, Z, T, U
% 0.71/1.09 , W ) }.
% 0.71/1.09 { ! contri( X, Y, U, Z, T, W ), cong( X, Y, Z, T ) }.
% 0.71/1.09 { ! midp( U, X, Y ), ! midp( U, Z, T ), para( X, Z, Y, T ) }.
% 0.71/1.09 { ! midp( Z, T, U ), ! para( T, X, U, Y ), ! para( T, Y, U, X ), midp( Z, X
% 0.71/1.09 , Y ) }.
% 0.71/1.09 { ! para( X, Y, Z, T ), ! coll( U, X, Z ), ! coll( U, Y, T ), eqratio( U, X
% 0.71/1.09 , X, Z, U, Y, Y, T ) }.
% 0.71/1.09 { ! para( X, Y, X, Z ), coll( X, Y, Z ) }.
% 0.71/1.09 { ! cong( X, Y, X, Z ), ! coll( X, Y, Z ), midp( X, Y, Z ) }.
% 0.71/1.09 { ! midp( X, Y, Z ), cong( X, Y, X, Z ) }.
% 0.71/1.09 { ! midp( X, Y, Z ), coll( X, Y, Z ) }.
% 0.71/1.09 { ! midp( U, X, Y ), ! midp( W, Z, T ), eqratio( U, X, X, Y, W, Z, Z, T ) }
% 0.71/1.09 .
% 0.71/1.09 { ! eqangle( X, Y, Z, T, Z, T, X, Y ), para( X, Y, Z, T ), perp( X, Y, Z, T
% 0.71/1.09 ) }.
% 0.71/1.09 { ! eqangle( X, Y, Z, T, Z, T, X, Y ), perp( X, Y, Z, T ), para( X, Y, Z, T
% 0.71/1.09 ) }.
% 0.71/1.09 { ! eqangle( X, Y, Z, T, U, W, V0, V1 ), ! para( U, W, V0, V1 ), para( X, Y
% 0.71/1.09 , Z, T ) }.
% 0.71/1.09 { ! eqangle( X, Y, Z, T, U, W, V0, V1 ), ! perp( U, W, V0, V1 ), perp( X, Y
% 0.71/1.09 , Z, T ) }.
% 0.71/1.09 { ! eqratio( X, Y, Z, T, U, W, V0, V1 ), ! cong( U, W, V0, V1 ), cong( X, Y
% 0.71/1.09 , Z, T ) }.
% 0.71/1.09 { ! perp( Z, Y, Y, X ), ! eqangle( T, Z, Y, Z, Y, Z, X, Z ), coll( skol1( U
% 0.71/1.09 , W, Z, T ), Z, T ) }.
% 0.71/1.09 { ! perp( Z, Y, Y, X ), ! eqangle( T, Z, Y, Z, Y, Z, X, Z ), coll( skol1( X
% 0.71/1.09 , Y, Z, T ), X, Y ) }.
% 0.71/1.09 { ! cong( Z, X, Z, Y ), ! eqangle( X, Z, Z, T, Z, T, Z, Y ), coll( skol2( U
% 0.71/1.09 , W, Z, T ), Z, T ) }.
% 0.71/1.09 { ! cong( Z, X, Z, Y ), ! eqangle( X, Z, Z, T, Z, T, Z, Y ), coll( Y, X,
% 0.71/1.09 skol2( X, Y, Z, T ) ) }.
% 0.71/1.09 { ! perp( Z, T, X, Y ), ! eqangle( X, Z, Z, T, Z, T, Z, Y ), coll( skol3( U
% 0.71/1.09 , W, Z, T ), Z, T ) }.
% 0.71/1.09 { ! perp( Z, T, X, Y ), ! eqangle( X, Z, Z, T, Z, T, Z, Y ), coll( Y, X,
% 0.71/1.09 skol3( X, Y, Z, T ) ) }.
% 0.71/1.09 { ! perp( Z, T, X, Y ), ! cong( Z, X, Z, Y ), coll( skol4( U, W, Z, T ), Z
% 0.71/1.09 , T ) }.
% 0.71/1.09 { ! perp( Z, T, X, Y ), ! cong( Z, X, Z, Y ), coll( Y, X, skol4( X, Y, Z, T
% 0.71/1.09 ) ) }.
% 0.71/1.09 { ! eqangle( X, Z, Y, Z, X, T, Y, U ), coll( X, Y, Z ), cyclic( T, Y, Z,
% 0.71/1.09 skol5( W, Y, Z, T ) ) }.
% 0.71/1.09 { ! eqangle( X, Z, Y, Z, X, T, Y, U ), coll( X, Y, Z ), eqangle( X, Z, Y, Z
% 0.71/1.09 , X, skol5( X, Y, Z, T ), Y, skol5( X, Y, Z, T ) ) }.
% 0.71/1.09 { ! midp( U, X, Y ), ! midp( W, Z, T ), midp( skol6( X, V0, V1, T, V2, V3 )
% 0.71/1.09 , X, T ) }.
% 0.71/1.09 { ! midp( U, X, Y ), ! midp( W, Z, T ), para( skol6( X, V0, Z, T, V1, W ),
% 0.71/1.09 W, X, Z ) }.
% 0.71/1.09 { ! midp( U, X, Y ), ! midp( W, Z, T ), para( skol6( X, Y, Z, T, U, W ), U
% 0.71/1.09 , Y, T ) }.
% 0.71/1.09 { ! midp( Z, X, Y ), ! midp( W, T, U ), ! coll( T, X, Y ), ! coll( U, X, Y
% 0.71/1.09 ), midp( skol7( X, V0 ), X, V0 ) }.
% 0.71/1.09 { ! midp( T, X, U ), ! para( X, W, Z, T ), ! para( X, W, U, Y ), ! coll( W
% 0.71/1.09 , Y, Z ), coll( skol8( V0, V1, Z, T ), T, Z ) }.
% 0.71/1.09 { ! midp( T, X, U ), ! para( X, W, Z, T ), ! para( X, W, U, Y ), ! coll( W
% 0.71/1.09 , Y, Z ), coll( skol8( X, Y, Z, T ), X, Y ) }.
% 0.71/1.09 { ! cong( T, Z, T, U ), ! perp( X, Y, Y, T ), cong( T, Z, T, skol9( W, V0,
% 0.71/1.09 Z, T ) ) }.
% 0.71/1.09 { ! cong( T, Z, T, U ), ! perp( X, Y, Y, T ), cong( Y, Z, Y, skol9( W, Y, Z
% 0.71/1.09 , T ) ) }.
% 0.71/1.09 { ! cong( T, Z, T, U ), ! perp( X, Y, Y, T ), para( skol9( X, Y, Z, T ), Z
% 0.71/1.09 , X, Y ) }.
% 0.71/1.09 { ! perp( X, T, Y, Z ), ! perp( Y, T, X, Z ), coll( skol10( U, Y, Z ), Z, Y
% 0.71/1.09 ) }.
% 0.71/1.09 { ! perp( X, T, Y, Z ), ! perp( Y, T, X, Z ), perp( X, skol10( X, Y, Z ), Z
% 0.71/1.09 , Y ) }.
% 0.71/1.09 { ! perp( X, T, Y, Z ), ! perp( Y, T, X, Z ), alpha1( X, Y, Z ) }.
% 0.71/1.09 { ! alpha1( X, Y, Z ), coll( skol11( X, T, Z ), Z, X ) }.
% 0.71/1.09 { ! alpha1( X, Y, Z ), perp( Y, skol11( X, Y, Z ), Z, X ) }.
% 0.71/1.09 { ! coll( T, Z, X ), ! perp( Y, T, Z, X ), alpha1( X, Y, Z ) }.
% 0.71/1.09 { ! circle( Y, X, Z, T ), perp( skol12( X, Y ), X, X, Y ) }.
% 5.36/5.78 { ! circle( W, X, Y, Z ), ! cong( W, X, W, T ), ! cong( U, X, U, Y ), W = U
% 5.36/5.78 , alpha2( X, Z, U, skol13( X, V0, Z, V1, U ) ) }.
% 5.36/5.78 { ! circle( W, X, Y, Z ), ! cong( W, X, W, T ), ! cong( U, X, U, Y ), W = U
% 5.36/5.78 , coll( skol21( V0, Y, T, V1 ), Y, T ) }.
% 5.36/5.78 { ! circle( W, X, Y, Z ), ! cong( W, X, W, T ), ! cong( U, X, U, Y ), W = U
% 5.36/5.78 , cong( skol21( X, Y, T, U ), U, U, X ) }.
% 5.36/5.78 { ! alpha2( X, Y, Z, T ), coll( T, X, Y ) }.
% 5.36/5.78 { ! alpha2( X, Y, Z, T ), cong( T, Z, Z, X ) }.
% 5.36/5.78 { ! coll( T, X, Y ), ! cong( T, Z, Z, X ), alpha2( X, Y, Z, T ) }.
% 5.36/5.78 { ! cyclic( X, Y, Z, T ), ! para( X, Y, Z, T ), ! midp( U, X, Y ), circle(
% 5.36/5.78 skol14( X, Y, Z ), X, Y, Z ) }.
% 5.36/5.78 { ! perp( X, Z, Z, Y ), ! cyclic( X, Y, Z, T ), circle( skol15( X, Y, Z ),
% 5.36/5.78 X, Y, Z ) }.
% 5.36/5.78 { ! perp( X, U, U, T ), ! coll( T, Y, Z ), coll( skol16( W, Y, Z ), Y, Z )
% 5.36/5.78 }.
% 5.36/5.78 { ! perp( X, U, U, T ), ! coll( T, Y, Z ), perp( skol16( X, Y, Z ), X, Y, Z
% 5.36/5.78 ) }.
% 5.36/5.78 { ! perp( X, Z, X, Y ), ! perp( Y, X, Y, T ), ! midp( U, Z, T ), midp(
% 5.36/5.78 skol17( X, Y ), X, Y ) }.
% 5.36/5.78 { ! cong( Y, X, Y, Z ), ! perp( X, Y, Y, Z ), coll( X, Y, skol18( X, Y ) )
% 5.36/5.78 }.
% 5.36/5.78 { ! cong( Y, X, Y, Z ), ! perp( X, Y, Y, Z ), cong( Y, X, Y, skol18( X, Y )
% 5.36/5.78 ) }.
% 5.36/5.78 { ! para( U, W, X, Y ), ! coll( Z, U, X ), ! coll( Z, W, Y ), ! coll( T, U
% 5.36/5.78 , W ), coll( Z, T, skol19( V0, V1, Z, T ) ) }.
% 5.36/5.78 { ! para( U, W, X, Y ), ! coll( Z, U, X ), ! coll( Z, W, Y ), ! coll( T, U
% 5.36/5.78 , W ), coll( skol19( X, Y, Z, T ), X, Y ) }.
% 5.36/5.78 { midp( skol20, skol26, skol25 ) }.
% 5.36/5.78 { midp( skol22, skol26, skol27 ) }.
% 5.36/5.78 { midp( skol23, skol25, skol27 ) }.
% 5.36/5.78 { circle( skol24, skol27, skol25, skol26 ) }.
% 5.36/5.78 { ! perp( skol24, skol20, skol22, skol23 ) }.
% 5.36/5.78
% 5.36/5.78 percentage equality = 0.008850, percentage horn = 0.925620
% 5.36/5.78 This is a problem with some equality
% 5.36/5.78
% 5.36/5.78
% 5.36/5.78
% 5.36/5.78 Options Used:
% 5.36/5.78
% 5.36/5.78 useres = 1
% 5.36/5.78 useparamod = 1
% 5.36/5.78 useeqrefl = 1
% 5.36/5.78 useeqfact = 1
% 5.36/5.78 usefactor = 1
% 5.36/5.78 usesimpsplitting = 0
% 5.36/5.78 usesimpdemod = 5
% 5.36/5.78 usesimpres = 3
% 5.36/5.78
% 5.36/5.78 resimpinuse = 1000
% 5.36/5.78 resimpclauses = 20000
% 5.36/5.78 substype = eqrewr
% 5.36/5.78 backwardsubs = 1
% 5.36/5.78 selectoldest = 5
% 5.36/5.78
% 5.36/5.78 litorderings [0] = split
% 5.36/5.78 litorderings [1] = extend the termordering, first sorting on arguments
% 5.36/5.78
% 5.36/5.78 termordering = kbo
% 5.36/5.78
% 5.36/5.78 litapriori = 0
% 5.36/5.78 termapriori = 1
% 5.36/5.78 litaposteriori = 0
% 5.36/5.78 termaposteriori = 0
% 5.36/5.78 demodaposteriori = 0
% 5.36/5.78 ordereqreflfact = 0
% 5.36/5.78
% 5.36/5.78 litselect = negord
% 5.36/5.78
% 5.36/5.78 maxweight = 15
% 5.36/5.78 maxdepth = 30000
% 5.36/5.78 maxlength = 115
% 5.36/5.78 maxnrvars = 195
% 5.36/5.78 excuselevel = 1
% 5.36/5.78 increasemaxweight = 1
% 5.36/5.78
% 5.36/5.78 maxselected = 10000000
% 5.36/5.78 maxnrclauses = 10000000
% 5.36/5.78
% 5.36/5.78 showgenerated = 0
% 5.36/5.78 showkept = 0
% 5.36/5.78 showselected = 0
% 5.36/5.78 showdeleted = 0
% 5.36/5.78 showresimp = 1
% 5.36/5.78 showstatus = 2000
% 5.36/5.78
% 5.36/5.78 prologoutput = 0
% 5.36/5.78 nrgoals = 5000000
% 5.36/5.78 totalproof = 1
% 5.36/5.78
% 5.36/5.78 Symbols occurring in the translation:
% 5.36/5.78
% 5.36/5.78 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 5.36/5.78 . [1, 2] (w:1, o:39, a:1, s:1, b:0),
% 5.36/5.78 ! [4, 1] (w:0, o:34, a:1, s:1, b:0),
% 5.36/5.78 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 5.36/5.78 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 5.36/5.78 coll [38, 3] (w:1, o:67, a:1, s:1, b:0),
% 5.36/5.78 para [40, 4] (w:1, o:75, a:1, s:1, b:0),
% 5.36/5.78 perp [43, 4] (w:1, o:76, a:1, s:1, b:0),
% 5.36/5.78 midp [45, 3] (w:1, o:68, a:1, s:1, b:0),
% 5.36/5.78 cong [47, 4] (w:1, o:77, a:1, s:1, b:0),
% 5.36/5.78 circle [48, 4] (w:1, o:78, a:1, s:1, b:0),
% 5.36/5.78 cyclic [49, 4] (w:1, o:79, a:1, s:1, b:0),
% 5.36/5.78 eqangle [54, 8] (w:1, o:94, a:1, s:1, b:0),
% 5.36/5.78 eqratio [57, 8] (w:1, o:95, a:1, s:1, b:0),
% 5.36/5.78 simtri [59, 6] (w:1, o:91, a:1, s:1, b:0),
% 5.36/5.78 contri [60, 6] (w:1, o:92, a:1, s:1, b:0),
% 5.36/5.78 alpha1 [67, 3] (w:1, o:69, a:1, s:1, b:1),
% 5.36/5.78 alpha2 [68, 4] (w:1, o:80, a:1, s:1, b:1),
% 5.36/5.78 skol1 [69, 4] (w:1, o:81, a:1, s:1, b:1),
% 5.36/5.78 skol2 [70, 4] (w:1, o:83, a:1, s:1, b:1),
% 5.36/5.78 skol3 [71, 4] (w:1, o:85, a:1, s:1, b:1),
% 5.36/5.78 skol4 [72, 4] (w:1, o:86, a:1, s:1, b:1),
% 5.36/5.78 skol5 [73, 4] (w:1, o:87, a:1, s:1, b:1),
% 5.36/5.78 skol6 [74, 6] (w:1, o:93, a:1, s:1, b:1),
% 5.36/5.78 skol7 [75, 2] (w:1, o:63, a:1, s:1, b:1),
% 5.36/5.78 skol8 [76, 4] (w:1, o:88, a:1, s:1, b:1),
% 5.36/5.78 skol9 [77, 4] (w:1, o:89, a:1, s:1, b:1),
% 5.36/5.78 skol10 [78, 3] (w:1, o:70, a:1, s:1, b:1),
% 28.24/28.63 skol11 [79, 3] (w:1, o:71, a:1, s:1, b:1),
% 28.24/28.63 skol12 [80, 2] (w:1, o:64, a:1, s:1, b:1),
% 28.24/28.63 skol13 [81, 5] (w:1, o:90, a:1, s:1, b:1),
% 28.24/28.63 skol14 [82, 3] (w:1, o:72, a:1, s:1, b:1),
% 28.24/28.63 skol15 [83, 3] (w:1, o:73, a:1, s:1, b:1),
% 28.24/28.63 skol16 [84, 3] (w:1, o:74, a:1, s:1, b:1),
% 28.24/28.63 skol17 [85, 2] (w:1, o:65, a:1, s:1, b:1),
% 28.24/28.63 skol18 [86, 2] (w:1, o:66, a:1, s:1, b:1),
% 28.24/28.63 skol19 [87, 4] (w:1, o:82, a:1, s:1, b:1),
% 28.24/28.63 skol20 [88, 0] (w:1, o:27, a:1, s:1, b:1),
% 28.24/28.63 skol21 [89, 4] (w:1, o:84, a:1, s:1, b:1),
% 28.24/28.63 skol22 [90, 0] (w:1, o:28, a:1, s:1, b:1),
% 28.24/28.63 skol23 [91, 0] (w:1, o:29, a:1, s:1, b:1),
% 28.24/28.63 skol24 [92, 0] (w:1, o:30, a:1, s:1, b:1),
% 28.24/28.63 skol25 [93, 0] (w:1, o:31, a:1, s:1, b:1),
% 28.24/28.63 skol26 [94, 0] (w:1, o:32, a:1, s:1, b:1),
% 28.24/28.63 skol27 [95, 0] (w:1, o:33, a:1, s:1, b:1).
% 28.24/28.63
% 28.24/28.63
% 28.24/28.63 Starting Search:
% 28.24/28.63
% 28.24/28.63 *** allocated 15000 integers for clauses
% 28.24/28.63 *** allocated 22500 integers for clauses
% 28.24/28.63 *** allocated 33750 integers for clauses
% 28.24/28.63 *** allocated 22500 integers for termspace/termends
% 28.24/28.63 *** allocated 50625 integers for clauses
% 28.24/28.63 Resimplifying inuse:
% 28.24/28.63 Done
% 28.24/28.63
% 28.24/28.63 *** allocated 75937 integers for clauses
% 28.24/28.63 *** allocated 33750 integers for termspace/termends
% 28.24/28.63 *** allocated 113905 integers for clauses
% 28.24/28.63 *** allocated 50625 integers for termspace/termends
% 28.24/28.63
% 28.24/28.63 Intermediate Status:
% 28.24/28.63 Generated: 16410
% 28.24/28.63 Kept: 2019
% 28.24/28.63 Inuse: 331
% 28.24/28.63 Deleted: 1
% 28.24/28.63 Deletedinuse: 1
% 28.24/28.63
% 28.24/28.63 Resimplifying inuse:
% 28.24/28.63 Done
% 28.24/28.63
% 28.24/28.63 *** allocated 170857 integers for clauses
% 28.24/28.63 *** allocated 75937 integers for termspace/termends
% 28.24/28.63 Resimplifying inuse:
% 28.24/28.63 Done
% 28.24/28.63
% 28.24/28.63 *** allocated 256285 integers for clauses
% 28.24/28.63 *** allocated 113905 integers for termspace/termends
% 28.24/28.63
% 28.24/28.63 Intermediate Status:
% 28.24/28.63 Generated: 35640
% 28.24/28.63 Kept: 4038
% 28.24/28.63 Inuse: 466
% 28.24/28.63 Deleted: 1
% 28.24/28.63 Deletedinuse: 1
% 28.24/28.63
% 28.24/28.63 Resimplifying inuse:
% 28.24/28.63 Done
% 28.24/28.63
% 28.24/28.63 Resimplifying inuse:
% 28.24/28.63 Done
% 28.24/28.63
% 28.24/28.63 *** allocated 384427 integers for clauses
% 28.24/28.63 *** allocated 170857 integers for termspace/termends
% 28.24/28.63
% 28.24/28.63 Intermediate Status:
% 28.24/28.63 Generated: 48733
% 28.24/28.63 Kept: 6061
% 28.24/28.63 Inuse: 536
% 28.24/28.63 Deleted: 1
% 28.24/28.63 Deletedinuse: 1
% 28.24/28.63
% 28.24/28.63 Resimplifying inuse:
% 28.24/28.63 Done
% 28.24/28.63
% 28.24/28.63 Resimplifying inuse:
% 28.24/28.63 Done
% 28.24/28.63
% 28.24/28.63 *** allocated 576640 integers for clauses
% 28.24/28.63
% 28.24/28.63 Intermediate Status:
% 28.24/28.63 Generated: 61560
% 28.24/28.63 Kept: 8109
% 28.24/28.63 Inuse: 685
% 28.24/28.63 Deleted: 2
% 28.24/28.63 Deletedinuse: 1
% 28.24/28.63
% 28.24/28.63 Resimplifying inuse:
% 28.24/28.63 Done
% 28.24/28.63
% 28.24/28.63 *** allocated 256285 integers for termspace/termends
% 28.24/28.63 Resimplifying inuse:
% 28.24/28.63 Done
% 28.24/28.63
% 28.24/28.63
% 28.24/28.63 Intermediate Status:
% 28.24/28.63 Generated: 81822
% 28.24/28.63 Kept: 10278
% 28.24/28.63 Inuse: 809
% 28.24/28.63 Deleted: 5
% 28.24/28.63 Deletedinuse: 3
% 28.24/28.63
% 28.24/28.63 Resimplifying inuse:
% 28.24/28.63 Done
% 28.24/28.63
% 28.24/28.63 Resimplifying inuse:
% 28.24/28.63 Done
% 28.24/28.63
% 28.24/28.63 *** allocated 864960 integers for clauses
% 28.24/28.63
% 28.24/28.63 Intermediate Status:
% 28.24/28.63 Generated: 92939
% 28.24/28.63 Kept: 12429
% 28.24/28.63 Inuse: 864
% 28.24/28.63 Deleted: 9
% 28.24/28.63 Deletedinuse: 7
% 28.24/28.63
% 28.24/28.63 Resimplifying inuse:
% 28.24/28.63 Done
% 28.24/28.63
% 28.24/28.63 Resimplifying inuse:
% 28.24/28.63 Done
% 28.24/28.63
% 28.24/28.63
% 28.24/28.63 Intermediate Status:
% 28.24/28.63 Generated: 103150
% 28.24/28.63 Kept: 14436
% 28.24/28.63 Inuse: 933
% 28.24/28.63 Deleted: 17
% 28.24/28.63 Deletedinuse: 9
% 28.24/28.63
% 28.24/28.63 Resimplifying inuse:
% 28.24/28.63 Done
% 28.24/28.63
% 28.24/28.63 Resimplifying inuse:
% 28.24/28.63 Done
% 28.24/28.63
% 28.24/28.63 *** allocated 384427 integers for termspace/termends
% 28.24/28.63
% 28.24/28.63 Intermediate Status:
% 28.24/28.63 Generated: 118929
% 28.24/28.63 Kept: 16445
% 28.24/28.63 Inuse: 1062
% 28.24/28.63 Deleted: 21
% 28.24/28.63 Deletedinuse: 9
% 28.24/28.63
% 28.24/28.63 Resimplifying inuse:
% 28.24/28.63 Done
% 28.24/28.63
% 28.24/28.63 Resimplifying inuse:
% 28.24/28.63 Done
% 28.24/28.63
% 28.24/28.63 *** allocated 1297440 integers for clauses
% 28.24/28.63
% 28.24/28.63 Intermediate Status:
% 28.24/28.63 Generated: 133053
% 28.24/28.63 Kept: 18466
% 28.24/28.63 Inuse: 1185
% 28.24/28.63 Deleted: 42
% 28.24/28.63 Deletedinuse: 21
% 28.24/28.63
% 28.24/28.63 Resimplifying inuse:
% 28.24/28.63 Done
% 28.24/28.63
% 28.24/28.63 Resimplifying inuse:
% 28.24/28.63 Done
% 28.24/28.63
% 28.24/28.63 Resimplifying clauses:
% 28.24/28.63 Done
% 28.24/28.63
% 28.24/28.63
% 28.24/28.63 Intermediate Status:
% 28.24/28.63 Generated: 144168
% 28.24/28.63 Kept: 20466
% 28.24/28.63 Inuse: 1274
% 28.24/28.63 Deleted: 1510
% 28.24/28.63 Deletedinuse: 27
% 28.24/28.63
% 28.24/28.63 Resimplifying inuse:
% 28.24/28.63 Done
% 28.24/28.63
% 28.24/28.63 Resimplifying inuse:
% 28.24/28.63 Done
% 28.24/28.63
% 28.24/28.63
% 28.24/28.63 Intermediate Status:
% 28.24/28.63 Generated: 158743
% 28.24/28.63 Kept: 22475
% 28.24/28.63 Inuse: 1426
% 28.24/28.63 Deleted: 2667
% 28.24/28.63 Deletedinuse: 1003
% 28.24/28.63
% 28.24/28.63 Resimplifying inuse:
% 28.24/28.63 Done
% 28.24/28.63
% 28.24/28.63 Resimplifying inuse:
% 28.24/28.63 Done
% 28.24/28.63
% 28.24/28.63
% 28.24/28.63 Intermediate Status:
% 28.24/28.63 Generated: 170203
% 28.24/28.63 Kept: 24478
% 28.24/28.63 Inuse: 1582
% 28.24/28.63 Deleted: 2767
% 28.24/28.63 Deletedinuse: 1003
% 28.24/28.63
% 28.24/28.63 Resimplifying inuse:
% 28.24/28.63 Done
% 28.24/28.63
% 28.24/28.63 Resimplifying inuse:
% 28.24/28.63 Done
% 28.24/28.63
% 28.24/28.63 *** allocated 576640 integers for termspace/termends
% 28.24/28.63
% 28.24/28.63 Intermediate Status:
% 28.24/28.63 Generated: 182855
% 28.24/28.63 Kept: 26478
% 28.24/28.63 Inuse: 1784
% 28.24/28.63 Deleted: 3701
% 28.24/28.63 Deletedinuse: 1003
% 28.24/28.63
% 28.24/28.63 Resimplifying inuse:
% 28.24/28.63 Done
% 28.24/28.63
% 35.35/35.76 *** allocated 1946160 integers for clauses
% 35.35/35.76 Resimplifying inuse:
% 35.35/35.76 Done
% 35.35/35.76
% 35.35/35.76
% 35.35/35.76 Intermediate Status:
% 35.35/35.76 Generated: 204696
% 35.35/35.76 Kept: 28502
% 35.35/35.76 Inuse: 1893
% 35.35/35.76 Deleted: 4031
% 35.35/35.76 Deletedinuse: 1009
% 35.35/35.76
% 35.35/35.76 Resimplifying inuse:
% 35.35/35.76 Done
% 35.35/35.76
% 35.35/35.76 Resimplifying inuse:
% 35.35/35.76 Done
% 35.35/35.76
% 35.35/35.76
% 35.35/35.76 Intermediate Status:
% 35.35/35.76 Generated: 211061
% 35.35/35.76 Kept: 30521
% 35.35/35.76 Inuse: 1956
% 35.35/35.76 Deleted: 4031
% 35.35/35.76 Deletedinuse: 1009
% 35.35/35.76
% 35.35/35.76 Resimplifying inuse:
% 35.35/35.76 Done
% 35.35/35.76
% 35.35/35.76 Resimplifying inuse:
% 35.35/35.76 Done
% 35.35/35.76
% 35.35/35.76
% 35.35/35.76 Intermediate Status:
% 35.35/35.76 Generated: 221515
% 35.35/35.76 Kept: 32546
% 35.35/35.76 Inuse: 2128
% 35.35/35.76 Deleted: 4070
% 35.35/35.76 Deletedinuse: 1009
% 35.35/35.76
% 35.35/35.76 Resimplifying inuse:
% 35.35/35.76 Done
% 35.35/35.76
% 35.35/35.76 Resimplifying inuse:
% 35.35/35.76 Done
% 35.35/35.76
% 35.35/35.76
% 35.35/35.76 Intermediate Status:
% 35.35/35.76 Generated: 233906
% 35.35/35.76 Kept: 34559
% 35.35/35.76 Inuse: 2295
% 35.35/35.76 Deleted: 4127
% 35.35/35.76 Deletedinuse: 1009
% 35.35/35.76
% 35.35/35.76 Resimplifying inuse:
% 35.35/35.76 Done
% 35.35/35.76
% 35.35/35.76 Resimplifying inuse:
% 35.35/35.76 Done
% 35.35/35.76
% 35.35/35.76
% 35.35/35.76 Intermediate Status:
% 35.35/35.76 Generated: 247553
% 35.35/35.76 Kept: 36561
% 35.35/35.76 Inuse: 2461
% 35.35/35.76 Deleted: 4197
% 35.35/35.76 Deletedinuse: 1009
% 35.35/35.76
% 35.35/35.76 Resimplifying inuse:
% 35.35/35.76 Done
% 35.35/35.76
% 35.35/35.76 Resimplifying inuse:
% 35.35/35.76 Done
% 35.35/35.76
% 35.35/35.76
% 35.35/35.76 Intermediate Status:
% 35.35/35.76 Generated: 261225
% 35.35/35.76 Kept: 38572
% 35.35/35.76 Inuse: 2546
% 35.35/35.76 Deleted: 4388
% 35.35/35.76 Deletedinuse: 1009
% 35.35/35.76
% 35.35/35.76 Resimplifying inuse:
% 35.35/35.76 Done
% 35.35/35.76
% 35.35/35.76 *** allocated 2919240 integers for clauses
% 35.35/35.76 Resimplifying inuse:
% 35.35/35.76 Done
% 35.35/35.76
% 35.35/35.76 *** allocated 864960 integers for termspace/termends
% 35.35/35.76 Resimplifying clauses:
% 35.35/35.76 Done
% 35.35/35.76
% 35.35/35.76
% 35.35/35.76 Intermediate Status:
% 35.35/35.76 Generated: 274996
% 35.35/35.76 Kept: 40590
% 35.35/35.76 Inuse: 2611
% 35.35/35.76 Deleted: 18478
% 35.35/35.76 Deletedinuse: 1009
% 35.35/35.76
% 35.35/35.76 Resimplifying inuse:
% 35.35/35.76 Done
% 35.35/35.76
% 35.35/35.76 Resimplifying inuse:
% 35.35/35.76 Done
% 35.35/35.76
% 35.35/35.76
% 35.35/35.76 Intermediate Status:
% 35.35/35.76 Generated: 287039
% 35.35/35.76 Kept: 42619
% 35.35/35.76 Inuse: 2686
% 35.35/35.76 Deleted: 18484
% 35.35/35.76 Deletedinuse: 1015
% 35.35/35.76
% 35.35/35.76 Resimplifying inuse:
% 35.35/35.76 Done
% 35.35/35.76
% 35.35/35.76 Resimplifying inuse:
% 35.35/35.76 Done
% 35.35/35.76
% 35.35/35.76
% 35.35/35.76 Intermediate Status:
% 35.35/35.76 Generated: 303760
% 35.35/35.76 Kept: 44623
% 35.35/35.76 Inuse: 2763
% 35.35/35.76 Deleted: 18541
% 35.35/35.76 Deletedinuse: 1072
% 35.35/35.76
% 35.35/35.76 Resimplifying inuse:
% 35.35/35.76 Done
% 35.35/35.76
% 35.35/35.76 Resimplifying inuse:
% 35.35/35.76 Done
% 35.35/35.76
% 35.35/35.76
% 35.35/35.76 Intermediate Status:
% 35.35/35.76 Generated: 316948
% 35.35/35.76 Kept: 46646
% 35.35/35.76 Inuse: 2841
% 35.35/35.76 Deleted: 18573
% 35.35/35.76 Deletedinuse: 1104
% 35.35/35.76
% 35.35/35.76 Resimplifying inuse:
% 35.35/35.76 Done
% 35.35/35.76
% 35.35/35.76 Resimplifying inuse:
% 35.35/35.76 Done
% 35.35/35.76
% 35.35/35.76
% 35.35/35.76 Intermediate Status:
% 35.35/35.76 Generated: 331274
% 35.35/35.76 Kept: 48768
% 35.35/35.76 Inuse: 2926
% 35.35/35.76 Deleted: 18573
% 35.35/35.76 Deletedinuse: 1104
% 35.35/35.76
% 35.35/35.76 Resimplifying inuse:
% 35.35/35.76 Done
% 35.35/35.76
% 35.35/35.76 Resimplifying inuse:
% 35.35/35.76 Done
% 35.35/35.76
% 35.35/35.76
% 35.35/35.76 Intermediate Status:
% 35.35/35.76 Generated: 338993
% 35.35/35.76 Kept: 50844
% 35.35/35.76 Inuse: 2961
% 35.35/35.76 Deleted: 18573
% 35.35/35.76 Deletedinuse: 1104
% 35.35/35.76
% 35.35/35.76 Resimplifying inuse:
% 35.35/35.76 Done
% 35.35/35.76
% 35.35/35.76 Resimplifying inuse:
% 35.35/35.76 Done
% 35.35/35.76
% 35.35/35.76
% 35.35/35.76 Intermediate Status:
% 35.35/35.76 Generated: 360301
% 35.35/35.76 Kept: 52862
% 35.35/35.76 Inuse: 3044
% 35.35/35.76 Deleted: 18577
% 35.35/35.76 Deletedinuse: 1104
% 35.35/35.76
% 35.35/35.76 Resimplifying inuse:
% 35.35/35.76 Done
% 35.35/35.76
% 35.35/35.76 Resimplifying inuse:
% 35.35/35.76 Done
% 35.35/35.76
% 35.35/35.76
% 35.35/35.76 Intermediate Status:
% 35.35/35.76 Generated: 377233
% 35.35/35.76 Kept: 54866
% 35.35/35.76 Inuse: 3124
% 35.35/35.76 Deleted: 18587
% 35.35/35.76 Deletedinuse: 1105
% 35.35/35.76
% 35.35/35.76 Resimplifying inuse:
% 35.35/35.76 Done
% 35.35/35.76
% 35.35/35.76 Resimplifying inuse:
% 35.35/35.76 Done
% 35.35/35.76
% 35.35/35.76
% 35.35/35.76 Intermediate Status:
% 35.35/35.76 Generated: 392953
% 35.35/35.76 Kept: 56943
% 35.35/35.76 Inuse: 3219
% 35.35/35.76 Deleted: 18596
% 35.35/35.76 Deletedinuse: 1105
% 35.35/35.76
% 35.35/35.76 Resimplifying inuse:
% 35.35/35.76 Done
% 35.35/35.76
% 35.35/35.76 Resimplifying inuse:
% 35.35/35.76 Done
% 35.35/35.76
% 35.35/35.76
% 35.35/35.76 Intermediate Status:
% 35.35/35.76 Generated: 408659
% 35.35/35.76 Kept: 59062
% 35.35/35.76 Inuse: 3303
% 35.35/35.76 Deleted: 18607
% 35.35/35.76 Deletedinuse: 1105
% 35.35/35.76
% 35.35/35.76 Resimplifying inuse:
% 35.35/35.76 Done
% 35.35/35.76
% 35.35/35.76 *** allocated 1297440 integers for termspace/termends
% 35.35/35.76 Resimplifying clauses:
% 35.35/35.76 Done
% 35.35/35.76
% 35.35/35.76 Resimplifying inuse:
% 35.35/35.76 Done
% 35.35/35.76
% 35.35/35.76 *** allocated 4378860 integers for clauses
% 35.35/35.76
% 35.35/35.76 Intermediate Status:
% 35.35/35.76 Generated: 422368
% 35.35/35.76 Kept: 61483
% 35.35/35.76 Inuse: 3375
% 35.35/35.76 Deleted: 20933
% 35.35/35.76 Deletedinuse: 1106
% 35.35/35.76
% 35.35/35.76 Resimplifying inuse:
% 35.35/35.76 Done
% 35.35/35.76
% 35.35/35.76 Resimplifying inuse:
% 35.35/35.76 Done
% 35.35/35.76
% 35.35/35.76
% 35.35/35.76 Intermediate Status:
% 35.35/35.76 Generated: 432330
% 35.35/35.76 Kept: 64351
% 35.35/35.76 Inuse: 3405
% 35.35/35.76 Deleted: 20933
% 35.35/35.76 Deletedinuse: 1106
% 35.35/35.76
% 35.35/35.76 Resimplifying inuse:
% 35.35/35.76 Done
% 35.35/35.76
% 35.35/35.76 Resimplifying inuse:
% 35.35/35.76 Done
% 35.35/35.76
% 35.35/35.76
% 35.35/35.76 Intermediate Status:
% 35.35/35.76 Generated: 450864
% 35.35/35.76 Kept: 66401
% 35.35/35.76 Inuse: 3482
% 35.35/35.76 Deleted: 21324
% 35.35/35.76 Deletedinuse: 1488
% 35.35/35.76
% 35.35/35.76 Resimplifying inuse:
% 35.35/35.76 Done
% 35.35/35.76
% 35.35/35.76 Resimplifying inuse:
% 35.35/35.76 Done
% 35.35/35.76
% 35.35/35.76
% 35.35/35.76 Intermediate Status:
% 35.35/35.76 Generated: 476940
% 35.35/35.76 Kept: 68415
% 35.35/35.76 Inuse: 3574
% 35.35/35.76 Deleted: 21609
% 35.35/35.76 Deletedinuse: 1773
% 35.35/35.76
% 35.35/35.76 Resimplifying inuse:
% 35.35/35.76 Done
% 35.35/35.76
% 35.35/35.76 Resimplifying inuse:
% 35.35/35.76 Done
% 35.35/35.76
% 35.35/35.76
% 35.35/35.76 Intermediate Status:
% 35.35/35.76 Generated: 486727
% 35.35/35.76 Kept: 70445
% 35.35/35.76 Inuse: 3631
% 35.35/35.76 Deleted: 21646
% 35.35/35.76 Deletedinuse: 1801
% 35.35/35.76
% 35.35/35.76 Resimplifying inuse:
% 35.35/35.76 Done
% 35.35/35.76
% 35.35/35.76 Resimplifying inuse:
% 35.35/35.76 Done
% 35.35/35.76
% 35.35/35.76
% 35.35/35.76 Intermediate Status:
% 35.35/35.76 Generated: 496784
% 35.35/35.76 Kept: 72450
% 35.35/35.76 Inuse: 3674
% 35.35/35.76 Deleted: 21646
% 35.35/35.76 Deletedinuse: 1801
% 35.35/35.76
% 35.35/35.76 Resimplifying inuse:
% 35.35/35.76 Done
% 35.35/35.76
% 35.35/35.76 Resimplifying inuse:
% 35.35/35.76 Done
% 35.35/35.76
% 35.35/35.76
% 35.35/35.76 Intermediate Status:
% 35.35/35.76 Generated: 504140
% 35.35/35.76 Kept: 74511
% 35.35/35.76 Inuse: 3712
% 35.35/35.76 Deleted: 21647
% 35.35/35.76 Deletedinuse: 1802
% 35.35/35.76
% 35.35/35.76 Resimplifying inuse:
% 35.35/35.76 Done
% 35.35/35.76
% 35.35/35.76 Resimplifying inuse:
% 35.35/35.76 Done
% 35.35/35.76
% 35.35/35.76
% 35.35/35.76 Intermediate Status:
% 35.35/35.76 Generated: 515743
% 35.35/35.76 Kept: 76597
% 35.35/35.76 Inuse: 3775
% 35.35/35.76 Deleted: 21647
% 35.35/35.76 Deletedinuse: 1802
% 35.35/35.76
% 35.35/35.76 Resimplifying inuse:
% 35.35/35.76 Done
% 35.35/35.76
% 35.35/35.76 Resimplifying inuse:
% 35.35/35.76 Done
% 35.35/35.76
% 35.35/35.76
% 35.35/35.76 Intermediate Status:
% 35.35/35.76 Generated: 525989
% 35.35/35.76 Kept: 78627
% 35.35/35.76 Inuse: 3832
% 35.35/35.76 Deleted: 21647
% 35.35/35.76 Deletedinuse: 1802
% 35.35/35.76
% 35.35/35.76 Resimplifying inuse:
% 35.35/35.76 Done
% 35.35/35.76
% 35.35/35.76 Resimplifying inuse:
% 35.35/35.76 Done
% 35.35/35.76
% 35.35/35.76 Resimplifying clauses:
% 35.35/35.76 Done
% 35.35/35.76
% 35.35/35.76
% 35.35/35.76 Intermediate Status:
% 35.35/35.76 Generated: 537536
% 35.35/35.76 Kept: 80660
% 35.35/35.76 Inuse: 3897
% 35.35/35.76 Deleted: 32401
% 35.35/35.76 Deletedinuse: 1802
% 35.35/35.76
% 35.35/35.76 Resimplifying inuse:
% 35.35/35.76 Done
% 35.35/35.76
% 35.35/35.76
% 35.35/35.76 Bliksems!, er is een bewijs:
% 35.35/35.76 % SZS status Theorem
% 35.35/35.76 % SZS output start Refutation
% 35.35/35.76
% 35.35/35.76 (0) {G0,W8,D2,L2,V3,M2} I { ! coll( X, Y, Z ), coll( X, Z, Y ) }.
% 35.35/35.76 (1) {G0,W8,D2,L2,V3,M2} I { ! coll( X, Y, Z ), coll( Y, X, Z ) }.
% 35.35/35.76 (2) {G0,W12,D2,L3,V4,M3} I { ! coll( X, T, Y ), ! coll( X, T, Z ), coll( Y
% 35.35/35.76 , Z, X ) }.
% 35.35/35.76 (3) {G0,W10,D2,L2,V4,M2} I { ! para( X, Y, Z, T ), para( X, Y, T, Z ) }.
% 35.35/35.76 (4) {G0,W10,D2,L2,V4,M2} I { ! para( X, Y, Z, T ), para( Z, T, X, Y ) }.
% 35.35/35.76 (6) {G0,W10,D2,L2,V4,M2} I { ! perp( X, Y, Z, T ), perp( X, Y, T, Z ) }.
% 35.35/35.76 (7) {G0,W10,D2,L2,V4,M2} I { ! perp( X, Y, Z, T ), perp( Z, T, X, Y ) }.
% 35.35/35.76 (8) {G0,W15,D2,L3,V6,M3} I { ! perp( X, Y, U, W ), ! perp( U, W, Z, T ),
% 35.35/35.76 para( X, Y, Z, T ) }.
% 35.35/35.76 (9) {G0,W15,D2,L3,V6,M3} I { ! para( X, Y, U, W ), ! perp( U, W, Z, T ),
% 35.35/35.76 perp( X, Y, Z, T ) }.
% 35.35/35.76 (10) {G0,W8,D2,L2,V3,M2} I { ! midp( Z, Y, X ), midp( Z, X, Y ) }.
% 35.35/35.76 (12) {G0,W20,D2,L4,V5,M4} I { ! cong( U, X, U, Y ), ! cong( U, X, U, Z ), !
% 35.35/35.76 cong( U, X, U, T ), cyclic( X, Y, Z, T ) }.
% 35.35/35.76 (13) {G0,W10,D2,L2,V4,M2} I { ! cyclic( X, Y, Z, T ), cyclic( X, Y, T, Z )
% 35.35/35.76 }.
% 35.35/35.76 (14) {G0,W10,D2,L2,V4,M2} I { ! cyclic( X, Y, Z, T ), cyclic( X, Z, Y, T )
% 35.35/35.76 }.
% 35.35/35.76 (15) {G0,W10,D2,L2,V4,M2} I { ! cyclic( X, Y, Z, T ), cyclic( Y, X, Z, T )
% 35.35/35.76 }.
% 35.35/35.76 (16) {G0,W15,D2,L3,V5,M3} I { ! cyclic( U, X, Y, Z ), ! cyclic( U, X, Y, T
% 35.35/35.76 ), cyclic( X, Y, Z, T ) }.
% 35.35/35.76 (22) {G0,W10,D2,L2,V4,M2} I { ! cong( X, Y, Z, T ), cong( X, Y, T, Z ) }.
% 35.35/35.76 (23) {G0,W10,D2,L2,V4,M2} I { ! cong( X, Y, Z, T ), cong( Z, T, X, Y ) }.
% 35.35/35.76 (39) {G0,W14,D2,L2,V6,M2} I { ! para( X, Y, Z, T ), eqangle( X, Y, U, W, Z
% 35.35/35.76 , T, U, W ) }.
% 35.35/35.76 (40) {G0,W14,D2,L2,V4,M2} I { ! cyclic( X, Y, Z, T ), eqangle( Z, X, Z, Y,
% 35.35/35.76 T, X, T, Y ) }.
% 35.35/35.76 (42) {G0,W18,D2,L3,V4,M3} I { ! eqangle( Z, X, Z, Y, T, X, T, Y ), ! coll(
% 35.35/35.76 Z, T, Y ), cyclic( X, Y, Z, T ) }.
% 35.35/35.76 (43) {G0,W29,D2,L5,V6,M5} I { ! cyclic( X, Y, U, Z ), ! cyclic( X, Y, U, T
% 35.35/35.76 ), ! cyclic( X, Y, U, W ), ! eqangle( U, X, U, Y, W, Z, W, T ), cong( X
% 35.35/35.76 , Y, Z, T ) }.
% 35.35/35.76 (52) {G0,W14,D2,L3,V4,M3} I { ! perp( X, Y, Y, T ), ! midp( Z, X, T ), cong
% 35.35/35.76 ( X, Z, Y, Z ) }.
% 35.35/35.76 (53) {G0,W14,D2,L3,V4,M3} I { ! circle( T, X, Y, Z ), ! coll( T, X, Z ),
% 35.35/35.76 perp( X, Y, Y, Z ) }.
% 35.35/35.76 (56) {G0,W15,D2,L3,V4,M3} I { ! cong( X, Z, Y, Z ), ! cong( X, T, Y, T ),
% 35.35/35.76 perp( X, Y, Z, T ) }.
% 35.35/35.76 (57) {G0,W20,D2,L4,V4,M4} I { ! cong( X, Y, T, Y ), ! cong( X, Z, T, Z ), !
% 35.35/35.76 cyclic( X, T, Y, Z ), perp( Y, X, X, Z ) }.
% 35.35/35.76 (63) {G0,W13,D2,L3,V5,M3} I { ! midp( U, X, Y ), ! midp( U, Z, T ), para( X
% 35.35/35.76 , Z, Y, T ) }.
% 35.35/35.76 (68) {G0,W9,D2,L2,V3,M2} I { ! midp( X, Y, Z ), cong( X, Y, X, Z ) }.
% 35.35/35.76 (69) {G0,W8,D2,L2,V3,M2} I { ! midp( X, Y, Z ), coll( X, Y, Z ) }.
% 35.35/35.76 (88) {G0,W22,D3,L5,V7,M5} I { ! midp( Z, X, Y ), ! midp( W, T, U ), ! coll
% 35.35/35.76 ( T, X, Y ), ! coll( U, X, Y ), midp( skol7( X, V0 ), X, V0 ) }.
% 35.35/35.76 (116) {G0,W4,D2,L1,V0,M1} I { midp( skol20, skol26, skol25 ) }.
% 35.35/35.76 (117) {G0,W4,D2,L1,V0,M1} I { midp( skol22, skol26, skol27 ) }.
% 35.35/35.76 (118) {G0,W4,D2,L1,V0,M1} I { midp( skol23, skol25, skol27 ) }.
% 35.35/35.76 (119) {G0,W5,D2,L1,V0,M1} I { circle( skol24, skol27, skol25, skol26 ) }.
% 35.35/35.76 (120) {G0,W5,D2,L1,V0,M1} I { ! perp( skol24, skol20, skol22, skol23 ) }.
% 35.35/35.76 (126) {G1,W15,D2,L3,V4,M3} F(12) { ! cong( X, Y, X, Z ), ! cong( X, Y, X, T
% 35.35/35.76 ), cyclic( Y, Z, T, T ) }.
% 35.35/35.76 (127) {G2,W10,D2,L2,V3,M2} F(126) { ! cong( X, Y, X, Z ), cyclic( Y, Z, Z,
% 35.35/35.76 Z ) }.
% 35.35/35.76 (128) {G1,W10,D2,L2,V4,M2} F(16) { ! cyclic( X, Y, Z, T ), cyclic( Y, Z, T
% 35.35/35.76 , T ) }.
% 35.35/35.76 (134) {G1,W15,D2,L3,V3,M3} F(57) { ! cong( X, Y, Z, Y ), ! cyclic( X, Z, Y
% 35.35/35.76 , Y ), perp( Y, X, X, Y ) }.
% 35.35/35.76 (143) {G1,W18,D3,L4,V4,M4} F(88) { ! midp( X, Y, Z ), ! coll( Y, Y, Z ), !
% 35.35/35.76 coll( Z, Y, Z ), midp( skol7( Y, T ), Y, T ) }.
% 35.35/35.76 (159) {G1,W4,D2,L1,V0,M1} R(69,116) { coll( skol20, skol26, skol25 ) }.
% 35.35/35.76 (161) {G1,W4,D2,L1,V0,M1} R(69,118) { coll( skol23, skol25, skol27 ) }.
% 35.35/35.76 (162) {G2,W4,D2,L1,V0,M1} R(159,0) { coll( skol20, skol25, skol26 ) }.
% 35.35/35.76 (165) {G3,W4,D2,L1,V0,M1} R(1,162) { coll( skol25, skol20, skol26 ) }.
% 35.35/35.76 (166) {G2,W4,D2,L1,V0,M1} R(1,159) { coll( skol26, skol20, skol25 ) }.
% 35.35/35.76 (195) {G1,W12,D2,L3,V4,M3} R(2,0) { ! coll( X, Y, Z ), ! coll( X, Y, T ),
% 35.35/35.76 coll( Z, X, T ) }.
% 35.35/35.76 (196) {G2,W8,D2,L2,V3,M2} F(195) { ! coll( X, Y, Z ), coll( Z, X, Z ) }.
% 35.35/35.76 (213) {G2,W4,D2,L1,V0,M1} R(161,1) { coll( skol25, skol23, skol27 ) }.
% 35.35/35.76 (217) {G3,W4,D2,L1,V0,M1} R(213,0) { coll( skol25, skol27, skol23 ) }.
% 35.35/35.76 (220) {G4,W4,D2,L1,V0,M1} R(217,1) { coll( skol27, skol25, skol23 ) }.
% 35.35/35.76 (222) {G1,W10,D2,L2,V4,M2} R(4,3) { ! para( X, Y, Z, T ), para( Z, T, Y, X
% 35.35/35.76 ) }.
% 35.35/35.76 (225) {G5,W4,D2,L1,V0,M1} R(220,0) { coll( skol27, skol23, skol25 ) }.
% 35.35/35.76 (232) {G6,W4,D2,L1,V0,M1} R(196,225) { coll( skol25, skol27, skol25 ) }.
% 35.35/35.76 (235) {G3,W4,D2,L1,V0,M1} R(196,213) { coll( skol27, skol25, skol27 ) }.
% 35.35/35.76 (238) {G3,W4,D2,L1,V0,M1} R(196,166) { coll( skol25, skol26, skol25 ) }.
% 35.35/35.76 (241) {G4,W4,D2,L1,V0,M1} R(196,165) { coll( skol26, skol25, skol26 ) }.
% 35.35/35.76 (242) {G3,W12,D2,L3,V4,M3} R(196,2) { coll( X, Y, X ), ! coll( X, Z, Y ), !
% 35.35/35.76 coll( X, Z, T ) }.
% 35.35/35.76 (255) {G4,W8,D2,L2,V3,M2} F(242) { coll( X, Y, X ), ! coll( X, Z, Y ) }.
% 35.35/35.76 (283) {G1,W10,D2,L2,V4,M2} R(7,6) { ! perp( X, Y, Z, T ), perp( Z, T, Y, X
% 35.35/35.76 ) }.
% 35.35/35.76 (284) {G1,W5,D2,L1,V0,M1} R(7,120) { ! perp( skol22, skol23, skol24, skol20
% 35.35/35.76 ) }.
% 35.35/35.76 (297) {G1,W15,D2,L3,V6,M3} R(8,4) { ! perp( X, Y, Z, T ), ! perp( Z, T, U,
% 35.35/35.76 W ), para( U, W, X, Y ) }.
% 35.35/35.76 (308) {G4,W4,D2,L1,V0,M1} R(235,0) { coll( skol27, skol27, skol25 ) }.
% 35.35/35.76 (311) {G1,W20,D2,L4,V8,M4} R(9,8) { ! para( X, Y, Z, T ), ! perp( Z, T, U,
% 35.35/35.76 W ), ! perp( V0, V1, X, Y ), para( V0, V1, U, W ) }.
% 35.35/35.76 (312) {G1,W15,D2,L3,V6,M3} R(9,7) { ! para( X, Y, Z, T ), perp( X, Y, U, W
% 35.35/35.76 ), ! perp( U, W, Z, T ) }.
% 35.35/35.76 (326) {G1,W4,D2,L1,V0,M1} R(10,117) { midp( skol22, skol27, skol26 ) }.
% 35.35/35.76 (327) {G1,W4,D2,L1,V0,M1} R(10,118) { midp( skol23, skol27, skol25 ) }.
% 35.35/35.76 (360) {G5,W4,D2,L1,V0,M1} R(241,0) { coll( skol26, skol26, skol25 ) }.
% 35.35/35.76 (362) {G1,W10,D2,L2,V4,M2} R(15,14) { cyclic( X, Y, Z, T ), ! cyclic( Y, Z
% 35.35/35.76 , X, T ) }.
% 35.35/35.76 (363) {G1,W10,D2,L2,V4,M2} R(15,14) { ! cyclic( X, Y, Z, T ), cyclic( Y, Z
% 35.35/35.76 , X, T ) }.
% 35.35/35.76 (440) {G2,W5,D2,L1,V0,M1} R(284,6) { ! perp( skol22, skol23, skol20, skol24
% 35.35/35.76 ) }.
% 35.35/35.76 (454) {G3,W5,D2,L1,V0,M1} R(440,7) { ! perp( skol20, skol24, skol22, skol23
% 35.35/35.76 ) }.
% 35.35/35.76 (455) {G4,W10,D2,L2,V2,M2} R(454,9) { ! para( skol20, skol24, X, Y ), !
% 35.35/35.76 perp( X, Y, skol22, skol23 ) }.
% 35.35/35.76 (503) {G5,W8,D2,L2,V3,M2} R(255,1) { ! coll( X, Y, Z ), coll( Z, X, X ) }.
% 35.35/35.76 (509) {G6,W8,D2,L2,V3,M2} R(503,1) { coll( X, Y, Y ), ! coll( Z, Y, X ) }.
% 35.35/35.76 (512) {G7,W8,D2,L2,V3,M2} R(509,503) { ! coll( X, Y, Z ), coll( Y, Z, Z )
% 35.35/35.76 }.
% 35.35/35.76 (516) {G8,W8,D2,L2,V3,M2} R(512,69) { coll( X, Y, Y ), ! midp( Z, X, Y )
% 35.35/35.76 }.
% 35.35/35.76 (517) {G9,W8,D2,L2,V3,M2} R(516,255) { ! midp( X, Y, Z ), coll( Y, Z, Y )
% 35.35/35.76 }.
% 35.35/35.76 (520) {G10,W8,D2,L2,V3,M2} R(517,0) { ! midp( X, Y, Z ), coll( Y, Y, Z )
% 35.35/35.76 }.
% 35.35/35.76 (836) {G1,W14,D2,L3,V3,M3} R(42,39) { ! coll( X, X, Y ), cyclic( Z, Y, X, X
% 35.35/35.76 ), ! para( X, Z, X, Z ) }.
% 35.35/35.76 (968) {G1,W20,D2,L4,V4,M4} R(43,40);f { ! cyclic( X, Y, Z, X ), ! cyclic( X
% 35.35/35.76 , Y, Z, Y ), ! cyclic( X, Y, Z, T ), cong( X, Y, X, Y ) }.
% 35.35/35.76 (1000) {G2,W15,D2,L3,V3,M3} F(968) { ! cyclic( X, Y, Z, X ), ! cyclic( X, Y
% 35.35/35.76 , Z, Y ), cong( X, Y, X, Y ) }.
% 35.35/35.76 (1317) {G2,W10,D2,L2,V1,M2} R(52,326) { ! perp( skol27, X, X, skol26 ),
% 35.35/35.76 cong( skol27, skol22, X, skol22 ) }.
% 35.35/35.76 (1542) {G1,W9,D2,L2,V0,M2} R(53,119) { ! coll( skol24, skol27, skol26 ),
% 35.35/35.76 perp( skol27, skol25, skol25, skol26 ) }.
% 35.35/35.76 (1639) {G1,W20,D2,L4,V6,M4} R(56,8) { ! cong( X, Y, Z, Y ), ! cong( X, T, Z
% 35.35/35.76 , T ), ! perp( U, W, X, Z ), para( U, W, Y, T ) }.
% 35.35/35.76 (1640) {G1,W15,D2,L3,V4,M3} R(56,7) { ! cong( X, Y, Z, Y ), ! cong( X, T, Z
% 35.35/35.76 , T ), perp( Y, T, X, Z ) }.
% 35.35/35.76 (1642) {G2,W15,D2,L3,V5,M3} F(1639) { ! cong( X, Y, Z, Y ), ! perp( T, U, X
% 35.35/35.76 , Z ), para( T, U, Y, Y ) }.
% 35.35/35.76 (1900) {G1,W13,D2,L3,V5,M3} R(63,10) { ! midp( X, Y, Z ), para( Y, T, Z, U
% 35.35/35.76 ), ! midp( X, U, T ) }.
% 35.35/35.76 (1916) {G2,W9,D2,L2,V3,M2} F(1900) { ! midp( X, Y, Z ), para( Y, Z, Z, Y )
% 35.35/35.76 }.
% 35.35/35.76 (2435) {G2,W5,D2,L1,V0,M1} R(68,327) { cong( skol23, skol27, skol23, skol25
% 35.35/35.76 ) }.
% 35.35/35.76 (2440) {G1,W5,D2,L1,V0,M1} R(68,118) { cong( skol23, skol25, skol23, skol27
% 35.35/35.76 ) }.
% 35.35/35.76 (2449) {G3,W5,D2,L1,V0,M1} R(2435,22) { cong( skol23, skol27, skol25,
% 35.35/35.76 skol23 ) }.
% 35.35/35.76 (2461) {G4,W5,D2,L1,V0,M1} R(2449,23) { cong( skol25, skol23, skol23,
% 35.35/35.76 skol27 ) }.
% 35.35/35.76 (2465) {G5,W5,D2,L1,V0,M1} R(2461,22) { cong( skol25, skol23, skol27,
% 35.35/35.76 skol23 ) }.
% 35.35/35.76 (2469) {G6,W10,D2,L2,V1,M2} R(2465,56) { ! cong( skol25, X, skol27, X ),
% 35.35/35.76 perp( skol25, skol27, skol23, X ) }.
% 35.35/35.76 (7325) {G3,W5,D2,L1,V0,M1} R(127,2440) { cyclic( skol25, skol27, skol27,
% 35.35/35.76 skol27 ) }.
% 35.35/35.76 (7330) {G3,W5,D2,L1,V0,M1} R(127,2435) { cyclic( skol27, skol25, skol25,
% 35.35/35.76 skol25 ) }.
% 35.35/35.76 (7346) {G4,W5,D2,L1,V0,M1} R(7325,15) { cyclic( skol27, skol25, skol27,
% 35.35/35.76 skol27 ) }.
% 35.35/35.76 (7351) {G5,W5,D2,L1,V0,M1} R(7346,14) { cyclic( skol27, skol27, skol25,
% 35.35/35.76 skol27 ) }.
% 35.35/35.76 (7354) {G6,W5,D2,L1,V0,M1} R(7351,13) { cyclic( skol27, skol27, skol27,
% 35.35/35.76 skol25 ) }.
% 35.35/35.76 (7361) {G7,W5,D2,L1,V0,M1} R(128,7354) { cyclic( skol27, skol27, skol25,
% 35.35/35.76 skol25 ) }.
% 35.35/35.76 (7375) {G8,W5,D2,L1,V0,M1} R(7361,14) { cyclic( skol27, skol25, skol27,
% 35.35/35.76 skol25 ) }.
% 35.35/35.76 (7381) {G9,W5,D2,L1,V0,M1} R(7375,13) { cyclic( skol27, skol25, skol25,
% 35.35/35.76 skol27 ) }.
% 35.35/35.76 (8095) {G5,W10,D3,L2,V1,M2} R(143,327);r(308) { ! coll( skol25, skol27,
% 35.35/35.76 skol25 ), midp( skol7( skol27, X ), skol27, X ) }.
% 35.35/35.76 (8106) {G6,W10,D3,L2,V1,M2} R(143,116);r(360) { ! coll( skol25, skol26,
% 35.35/35.76 skol25 ), midp( skol7( skol26, X ), skol26, X ) }.
% 35.35/35.76 (20051) {G7,W6,D3,L1,V1,M1} S(8095);r(232) { midp( skol7( skol27, X ),
% 35.35/35.76 skol27, X ) }.
% 35.35/35.76 (20053) {G7,W6,D3,L1,V1,M1} S(8106);r(238) { midp( skol7( skol26, X ),
% 35.35/35.76 skol26, X ) }.
% 35.35/35.76 (21147) {G11,W4,D2,L1,V1,M1} R(20051,520) { coll( skol27, skol27, X ) }.
% 35.35/35.76 (21232) {G12,W4,D2,L1,V2,M1} R(21147,195);r(21147) { coll( Y, skol27, X )
% 35.35/35.76 }.
% 35.35/35.76 (21245) {G13,W4,D2,L1,V3,M1} R(21232,195);r(21232) { coll( Z, X, Y ) }.
% 35.35/35.76 (21474) {G8,W6,D3,L1,V1,M1} R(20053,10) { midp( skol7( skol26, X ), X,
% 35.35/35.76 skol26 ) }.
% 35.35/35.76 (21518) {G14,W10,D3,L2,V2,M2} R(21474,143);r(21245) { ! coll( skol26, X,
% 35.35/35.76 skol26 ), midp( skol7( X, Y ), X, Y ) }.
% 35.35/35.76 (26029) {G14,W10,D2,L2,V3,M2} S(836);r(21245) { cyclic( Z, Y, X, X ), !
% 35.35/35.76 para( X, Z, X, Z ) }.
% 35.35/35.76 (26946) {G10,W5,D2,L1,V0,M1} R(1000,7330);r(7381) { cong( skol27, skol25,
% 35.35/35.76 skol27, skol25 ) }.
% 35.35/35.76 (28646) {G11,W5,D2,L1,V0,M1} R(26946,134);r(7361) { perp( skol25, skol27,
% 35.35/35.76 skol27, skol25 ) }.
% 35.35/35.76 (28696) {G12,W5,D2,L1,V0,M1} R(28646,283) { perp( skol27, skol25, skol27,
% 35.35/35.76 skol25 ) }.
% 35.35/35.76 (28752) {G13,W10,D2,L2,V2,M2} R(28696,297) { ! perp( X, Y, skol27, skol25 )
% 35.35/35.76 , para( skol27, skol25, X, Y ) }.
% 35.35/35.76 (40136) {G15,W6,D3,L1,V2,M1} S(21518);r(21245) { midp( skol7( X, Y ), X, Y
% 35.35/35.76 ) }.
% 35.35/35.76 (40242) {G14,W5,D2,L1,V0,M1} S(1542);r(21245) { perp( skol27, skol25,
% 35.35/35.76 skol25, skol26 ) }.
% 35.35/35.76 (40422) {G15,W5,D2,L1,V0,M1} R(40242,1317) { cong( skol27, skol22, skol25,
% 35.35/35.76 skol22 ) }.
% 35.35/35.76 (40624) {G16,W5,D2,L1,V0,M1} R(40422,23) { cong( skol25, skol22, skol27,
% 35.35/35.76 skol22 ) }.
% 35.35/35.76 (42715) {G16,W6,D3,L1,V2,M1} R(40136,10) { midp( skol7( X, Y ), Y, X ) }.
% 35.35/35.76 (65266) {G17,W5,D2,L1,V2,M1} R(1916,42715) { para( X, Y, Y, X ) }.
% 35.35/35.76 (65279) {G18,W5,D2,L1,V2,M1} R(65266,222) { para( X, Y, X, Y ) }.
% 35.35/35.76 (78371) {G17,W5,D2,L1,V0,M1} R(2469,40624) { perp( skol25, skol27, skol23,
% 35.35/35.76 skol22 ) }.
% 35.35/35.76 (78444) {G18,W5,D2,L1,V0,M1} R(78371,283) { perp( skol23, skol22, skol27,
% 35.35/35.76 skol25 ) }.
% 35.35/35.76 (78485) {G19,W5,D2,L1,V0,M1} R(78444,283) { perp( skol27, skol25, skol22,
% 35.35/35.76 skol23 ) }.
% 35.35/35.76 (78511) {G20,W5,D2,L1,V0,M1} R(78485,455) { ! para( skol20, skol24, skol27
% 35.35/35.76 , skol25 ) }.
% 35.35/35.76 (78561) {G21,W15,D2,L3,V4,M3} R(78511,311) { ! para( X, Y, Z, T ), ! perp(
% 35.35/35.76 Z, T, skol27, skol25 ), ! perp( skol20, skol24, X, Y ) }.
% 35.35/35.76 (78585) {G22,W5,D2,L1,V0,M1} F(78561);r(28752) { ! perp( skol20, skol24,
% 35.35/35.76 skol27, skol25 ) }.
% 35.35/35.76 (78656) {G23,W5,D2,L1,V0,M1} R(78585,6) { ! perp( skol20, skol24, skol25,
% 35.35/35.76 skol27 ) }.
% 35.35/35.76 (80411) {G19,W5,D2,L1,V3,M1} S(26029);r(65279) { cyclic( Z, Y, X, X ) }.
% 35.35/35.76 (80480) {G20,W5,D2,L1,V3,M1} R(80411,363) { cyclic( X, Y, Z, Y ) }.
% 35.35/35.76 (80481) {G20,W5,D2,L1,V3,M1} R(80411,362) { cyclic( X, Y, Z, X ) }.
% 35.35/35.76 (80497) {G21,W5,D2,L1,V2,M1} R(80480,1000);r(80481) { cong( X, Y, X, Y )
% 35.35/35.76 }.
% 35.35/35.76 (81094) {G22,W5,D2,L1,V3,M1} R(80497,1640);r(80497) { perp( Z, Y, X, X )
% 35.35/35.76 }.
% 35.35/35.76 (81114) {G23,W5,D2,L1,V3,M1} R(81094,1642);r(80497) { para( Z, T, Y, Y )
% 35.35/35.76 }.
% 35.35/35.76 (81117) {G24,W5,D2,L1,V4,M1} R(81094,312);r(81114) { perp( X, Y, T, U ) }.
% 35.35/35.76 (81120) {G25,W0,D0,L0,V0,M0} R(81117,78656) { }.
% 35.35/35.76
% 35.35/35.76
% 35.35/35.76 % SZS output end Refutation
% 35.35/35.76 found a proof!
% 35.35/35.76
% 35.35/35.76
% 35.35/35.76 Unprocessed initial clauses:
% 35.35/35.76
% 35.35/35.76 (81122) {G0,W8,D2,L2,V3,M2} { ! coll( X, Y, Z ), coll( X, Z, Y ) }.
% 35.35/35.76 (81123) {G0,W8,D2,L2,V3,M2} { ! coll( X, Y, Z ), coll( Y, X, Z ) }.
% 35.35/35.76 (81124) {G0,W12,D2,L3,V4,M3} { ! coll( X, T, Y ), ! coll( X, T, Z ), coll
% 35.35/35.76 ( Y, Z, X ) }.
% 35.35/35.76 (81125) {G0,W10,D2,L2,V4,M2} { ! para( X, Y, Z, T ), para( X, Y, T, Z )
% 35.35/35.76 }.
% 35.35/35.76 (81126) {G0,W10,D2,L2,V4,M2} { ! para( X, Y, Z, T ), para( Z, T, X, Y )
% 35.35/35.76 }.
% 35.35/35.76 (81127) {G0,W15,D2,L3,V6,M3} { ! para( X, Y, U, W ), ! para( U, W, Z, T )
% 35.35/35.76 , para( X, Y, Z, T ) }.
% 35.35/35.76 (81128) {G0,W10,D2,L2,V4,M2} { ! perp( X, Y, Z, T ), perp( X, Y, T, Z )
% 35.35/35.76 }.
% 35.35/35.76 (81129) {G0,W10,D2,L2,V4,M2} { ! perp( X, Y, Z, T ), perp( Z, T, X, Y )
% 35.35/35.76 }.
% 35.35/35.76 (81130) {G0,W15,D2,L3,V6,M3} { ! perp( X, Y, U, W ), ! perp( U, W, Z, T )
% 35.35/35.76 , para( X, Y, Z, T ) }.
% 35.35/35.76 (81131) {G0,W15,D2,L3,V6,M3} { ! para( X, Y, U, W ), ! perp( U, W, Z, T )
% 35.35/35.76 , perp( X, Y, Z, T ) }.
% 35.35/35.76 (81132) {G0,W8,D2,L2,V3,M2} { ! midp( Z, Y, X ), midp( Z, X, Y ) }.
% 35.35/35.76 (81133) {G0,W15,D2,L3,V4,M3} { ! cong( T, X, T, Y ), ! cong( T, X, T, Z )
% 35.35/35.76 , circle( T, X, Y, Z ) }.
% 35.35/35.76 (81134) {G0,W20,D2,L4,V5,M4} { ! cong( U, X, U, Y ), ! cong( U, X, U, Z )
% 35.35/35.76 , ! cong( U, X, U, T ), cyclic( X, Y, Z, T ) }.
% 35.35/35.76 (81135) {G0,W10,D2,L2,V4,M2} { ! cyclic( X, Y, Z, T ), cyclic( X, Y, T, Z
% 35.35/35.76 ) }.
% 35.35/35.76 (81136) {G0,W10,D2,L2,V4,M2} { ! cyclic( X, Y, Z, T ), cyclic( X, Z, Y, T
% 35.35/35.76 ) }.
% 35.35/35.76 (81137) {G0,W10,D2,L2,V4,M2} { ! cyclic( X, Y, Z, T ), cyclic( Y, X, Z, T
% 35.35/35.76 ) }.
% 35.35/35.76 (81138) {G0,W15,D2,L3,V5,M3} { ! cyclic( U, X, Y, Z ), ! cyclic( U, X, Y,
% 35.35/35.76 T ), cyclic( X, Y, Z, T ) }.
% 35.35/35.76 (81139) {G0,W18,D2,L2,V8,M2} { ! eqangle( X, Y, Z, T, U, W, V0, V1 ),
% 35.35/35.76 eqangle( Y, X, Z, T, U, W, V0, V1 ) }.
% 35.35/35.76 (81140) {G0,W18,D2,L2,V8,M2} { ! eqangle( X, Y, Z, T, U, W, V0, V1 ),
% 35.35/35.76 eqangle( Z, T, X, Y, V0, V1, U, W ) }.
% 35.35/35.76 (81141) {G0,W18,D2,L2,V8,M2} { ! eqangle( X, Y, Z, T, U, W, V0, V1 ),
% 35.35/35.76 eqangle( U, W, V0, V1, X, Y, Z, T ) }.
% 35.35/35.76 (81142) {G0,W18,D2,L2,V8,M2} { ! eqangle( X, Y, Z, T, U, W, V0, V1 ),
% 35.35/35.76 eqangle( X, Y, U, W, Z, T, V0, V1 ) }.
% 35.35/35.76 (81143) {G0,W27,D2,L3,V12,M3} { ! eqangle( X, Y, Z, T, V2, V3, V4, V5 ), !
% 35.35/35.76 eqangle( V2, V3, V4, V5, U, W, V0, V1 ), eqangle( X, Y, Z, T, U, W, V0,
% 35.35/35.76 V1 ) }.
% 35.35/35.76 (81144) {G0,W10,D2,L2,V4,M2} { ! cong( X, Y, Z, T ), cong( X, Y, T, Z )
% 35.35/35.76 }.
% 35.35/35.76 (81145) {G0,W10,D2,L2,V4,M2} { ! cong( X, Y, Z, T ), cong( Z, T, X, Y )
% 35.35/35.76 }.
% 35.35/35.76 (81146) {G0,W15,D2,L3,V6,M3} { ! cong( X, Y, U, W ), ! cong( U, W, Z, T )
% 35.35/35.76 , cong( X, Y, Z, T ) }.
% 35.35/35.76 (81147) {G0,W18,D2,L2,V8,M2} { ! eqratio( X, Y, Z, T, U, W, V0, V1 ),
% 35.35/35.76 eqratio( Y, X, Z, T, U, W, V0, V1 ) }.
% 35.35/35.76 (81148) {G0,W18,D2,L2,V8,M2} { ! eqratio( X, Y, Z, T, U, W, V0, V1 ),
% 35.35/35.76 eqratio( Z, T, X, Y, V0, V1, U, W ) }.
% 35.35/35.76 (81149) {G0,W18,D2,L2,V8,M2} { ! eqratio( X, Y, Z, T, U, W, V0, V1 ),
% 35.35/35.76 eqratio( U, W, V0, V1, X, Y, Z, T ) }.
% 35.35/35.76 (81150) {G0,W18,D2,L2,V8,M2} { ! eqratio( X, Y, Z, T, U, W, V0, V1 ),
% 35.35/35.76 eqratio( X, Y, U, W, Z, T, V0, V1 ) }.
% 35.35/35.76 (81151) {G0,W27,D2,L3,V12,M3} { ! eqratio( X, Y, Z, T, V2, V3, V4, V5 ), !
% 35.35/35.76 eqratio( V2, V3, V4, V5, U, W, V0, V1 ), eqratio( X, Y, Z, T, U, W, V0,
% 35.35/35.76 V1 ) }.
% 35.35/35.76 (81152) {G0,W14,D2,L2,V6,M2} { ! simtri( X, Z, Y, T, W, U ), simtri( X, Y
% 35.35/35.76 , Z, T, U, W ) }.
% 35.35/35.76 (81153) {G0,W14,D2,L2,V6,M2} { ! simtri( Y, X, Z, U, T, W ), simtri( X, Y
% 35.35/35.76 , Z, T, U, W ) }.
% 35.35/35.76 (81154) {G0,W14,D2,L2,V6,M2} { ! simtri( T, U, W, X, Y, Z ), simtri( X, Y
% 35.35/35.76 , Z, T, U, W ) }.
% 35.35/35.76 (81155) {G0,W21,D2,L3,V9,M3} { ! simtri( X, Y, Z, V0, V1, V2 ), ! simtri(
% 35.35/35.76 V0, V1, V2, T, U, W ), simtri( X, Y, Z, T, U, W ) }.
% 35.35/35.76 (81156) {G0,W14,D2,L2,V6,M2} { ! contri( X, Z, Y, T, W, U ), contri( X, Y
% 35.35/35.76 , Z, T, U, W ) }.
% 35.35/35.76 (81157) {G0,W14,D2,L2,V6,M2} { ! contri( Y, X, Z, U, T, W ), contri( X, Y
% 35.35/35.76 , Z, T, U, W ) }.
% 35.35/35.76 (81158) {G0,W14,D2,L2,V6,M2} { ! contri( T, U, W, X, Y, Z ), contri( X, Y
% 35.35/35.76 , Z, T, U, W ) }.
% 35.35/35.76 (81159) {G0,W21,D2,L3,V9,M3} { ! contri( X, Y, Z, V0, V1, V2 ), ! contri(
% 35.35/35.76 V0, V1, V2, T, U, W ), contri( X, Y, Z, T, U, W ) }.
% 35.35/35.76 (81160) {G0,W14,D2,L2,V6,M2} { ! eqangle( X, Y, U, W, Z, T, U, W ), para(
% 35.35/35.76 X, Y, Z, T ) }.
% 35.35/35.76 (81161) {G0,W14,D2,L2,V6,M2} { ! para( X, Y, Z, T ), eqangle( X, Y, U, W,
% 35.35/35.76 Z, T, U, W ) }.
% 35.35/35.76 (81162) {G0,W14,D2,L2,V4,M2} { ! cyclic( X, Y, Z, T ), eqangle( Z, X, Z, Y
% 35.35/35.76 , T, X, T, Y ) }.
% 35.35/35.76 (81163) {G0,W18,D2,L3,V4,M3} { ! eqangle( Z, X, Z, Y, T, X, T, Y ), coll(
% 35.35/35.76 Z, T, X ), cyclic( X, Y, Z, T ) }.
% 35.35/35.76 (81164) {G0,W18,D2,L3,V4,M3} { ! eqangle( Z, X, Z, Y, T, X, T, Y ), ! coll
% 35.35/35.76 ( Z, T, Y ), cyclic( X, Y, Z, T ) }.
% 35.35/35.76 (81165) {G0,W29,D2,L5,V6,M5} { ! cyclic( X, Y, U, Z ), ! cyclic( X, Y, U,
% 35.35/35.76 T ), ! cyclic( X, Y, U, W ), ! eqangle( U, X, U, Y, W, Z, W, T ), cong( X
% 35.35/35.76 , Y, Z, T ) }.
% 35.35/35.76 (81166) {G0,W13,D2,L3,V5,M3} { ! midp( Z, U, X ), ! midp( T, U, Y ), para
% 35.35/35.76 ( Z, T, X, Y ) }.
% 35.35/35.76 (81167) {G0,W17,D2,L4,V5,M4} { ! midp( U, X, T ), ! para( U, Z, T, Y ), !
% 35.35/35.76 coll( Z, X, Y ), midp( Z, X, Y ) }.
% 35.35/35.76 (81168) {G0,W14,D2,L2,V3,M2} { ! cong( Z, X, Z, Y ), eqangle( Z, X, X, Y,
% 35.35/35.76 X, Y, Z, Y ) }.
% 35.35/35.76 (81169) {G0,W18,D2,L3,V3,M3} { ! eqangle( Z, X, X, Y, X, Y, Z, Y ), coll(
% 35.35/35.76 Z, X, Y ), cong( Z, X, Z, Y ) }.
% 35.35/35.76 (81170) {G0,W19,D2,L3,V5,M3} { ! circle( U, X, Y, Z ), ! perp( U, X, X, T
% 35.35/35.76 ), eqangle( X, T, X, Y, Z, X, Z, Y ) }.
% 35.35/35.76 (81171) {G0,W19,D2,L3,V5,M3} { ! circle( Y, X, T, U ), ! eqangle( X, Z, X
% 35.35/35.76 , T, U, X, U, T ), perp( Y, X, X, Z ) }.
% 35.35/35.76 (81172) {G0,W18,D2,L3,V5,M3} { ! circle( T, X, Y, Z ), ! midp( U, Y, Z ),
% 35.35/35.76 eqangle( X, Y, X, Z, T, Y, T, U ) }.
% 35.35/35.76 (81173) {G0,W22,D2,L4,V5,M4} { ! circle( U, T, X, Y ), ! coll( Z, X, Y ),
% 35.35/35.76 ! eqangle( T, X, T, Y, U, X, U, Z ), midp( Z, X, Y ) }.
% 35.35/35.76 (81174) {G0,W14,D2,L3,V4,M3} { ! perp( X, Y, Y, T ), ! midp( Z, X, T ),
% 35.35/35.76 cong( X, Z, Y, Z ) }.
% 35.35/35.76 (81175) {G0,W14,D2,L3,V4,M3} { ! circle( T, X, Y, Z ), ! coll( T, X, Z ),
% 35.35/35.76 perp( X, Y, Y, Z ) }.
% 35.35/35.76 (81176) {G0,W19,D2,L3,V4,M3} { ! cyclic( X, Y, Z, T ), ! para( X, Y, Z, T
% 35.35/35.76 ), eqangle( X, T, Z, T, Z, T, Z, Y ) }.
% 35.35/35.76 (81177) {G0,W14,D2,L3,V4,M3} { ! midp( T, X, Y ), ! perp( Z, T, X, Y ),
% 35.35/35.76 cong( Z, X, Z, Y ) }.
% 35.35/35.76 (81178) {G0,W15,D2,L3,V4,M3} { ! cong( X, Z, Y, Z ), ! cong( X, T, Y, T )
% 35.35/35.76 , perp( X, Y, Z, T ) }.
% 35.35/35.76 (81179) {G0,W20,D2,L4,V4,M4} { ! cong( X, Y, T, Y ), ! cong( X, Z, T, Z )
% 35.35/35.76 , ! cyclic( X, T, Y, Z ), perp( Y, X, X, Z ) }.
% 35.35/35.76 (81180) {G0,W29,D2,L4,V6,M4} { ! eqangle( X, Y, Y, Z, T, U, U, W ), !
% 35.35/35.76 eqangle( X, Z, Y, Z, T, W, U, W ), coll( X, Y, Z ), simtri( X, Y, Z, T, U
% 35.35/35.76 , W ) }.
% 35.35/35.76 (81181) {G0,W16,D2,L2,V6,M2} { ! simtri( X, Y, Z, T, U, W ), eqratio( X, Y
% 35.35/35.76 , X, Z, T, U, T, W ) }.
% 35.35/35.76 (81182) {G0,W16,D2,L2,V6,M2} { ! simtri( X, Y, Z, T, U, W ), eqangle( X, Y
% 35.35/35.76 , Y, Z, T, U, U, W ) }.
% 35.35/35.76 (81183) {G0,W19,D2,L3,V6,M3} { ! simtri( X, Y, Z, T, U, W ), ! cong( X, Y
% 35.35/35.76 , T, U ), contri( X, Y, Z, T, U, W ) }.
% 35.35/35.76 (81184) {G0,W12,D2,L2,V6,M2} { ! contri( X, Y, U, Z, T, W ), cong( X, Y, Z
% 35.35/35.76 , T ) }.
% 35.35/35.76 (81185) {G0,W13,D2,L3,V5,M3} { ! midp( U, X, Y ), ! midp( U, Z, T ), para
% 35.35/35.76 ( X, Z, Y, T ) }.
% 35.35/35.76 (81186) {G0,W18,D2,L4,V5,M4} { ! midp( Z, T, U ), ! para( T, X, U, Y ), !
% 35.35/35.76 para( T, Y, U, X ), midp( Z, X, Y ) }.
% 35.35/35.76 (81187) {G0,W22,D2,L4,V5,M4} { ! para( X, Y, Z, T ), ! coll( U, X, Z ), !
% 35.35/35.76 coll( U, Y, T ), eqratio( U, X, X, Z, U, Y, Y, T ) }.
% 35.35/35.76 (81188) {G0,W9,D2,L2,V3,M2} { ! para( X, Y, X, Z ), coll( X, Y, Z ) }.
% 35.35/35.76 (81189) {G0,W13,D2,L3,V3,M3} { ! cong( X, Y, X, Z ), ! coll( X, Y, Z ),
% 35.35/35.76 midp( X, Y, Z ) }.
% 35.35/35.76 (81190) {G0,W9,D2,L2,V3,M2} { ! midp( X, Y, Z ), cong( X, Y, X, Z ) }.
% 35.35/35.76 (81191) {G0,W8,D2,L2,V3,M2} { ! midp( X, Y, Z ), coll( X, Y, Z ) }.
% 35.35/35.76 (81192) {G0,W17,D2,L3,V6,M3} { ! midp( U, X, Y ), ! midp( W, Z, T ),
% 35.35/35.76 eqratio( U, X, X, Y, W, Z, Z, T ) }.
% 35.35/35.76 (81193) {G0,W19,D2,L3,V4,M3} { ! eqangle( X, Y, Z, T, Z, T, X, Y ), para(
% 35.35/35.76 X, Y, Z, T ), perp( X, Y, Z, T ) }.
% 35.35/35.76 (81194) {G0,W19,D2,L3,V4,M3} { ! eqangle( X, Y, Z, T, Z, T, X, Y ), perp(
% 35.35/35.76 X, Y, Z, T ), para( X, Y, Z, T ) }.
% 35.35/35.76 (81195) {G0,W19,D2,L3,V8,M3} { ! eqangle( X, Y, Z, T, U, W, V0, V1 ), !
% 35.35/35.76 para( U, W, V0, V1 ), para( X, Y, Z, T ) }.
% 35.35/35.76 (81196) {G0,W19,D2,L3,V8,M3} { ! eqangle( X, Y, Z, T, U, W, V0, V1 ), !
% 35.35/35.76 perp( U, W, V0, V1 ), perp( X, Y, Z, T ) }.
% 35.35/35.76 (81197) {G0,W19,D2,L3,V8,M3} { ! eqratio( X, Y, Z, T, U, W, V0, V1 ), !
% 35.35/35.76 cong( U, W, V0, V1 ), cong( X, Y, Z, T ) }.
% 35.35/35.76 (81198) {G0,W22,D3,L3,V6,M3} { ! perp( Z, Y, Y, X ), ! eqangle( T, Z, Y, Z
% 35.35/35.76 , Y, Z, X, Z ), coll( skol1( U, W, Z, T ), Z, T ) }.
% 35.35/35.76 (81199) {G0,W22,D3,L3,V4,M3} { ! perp( Z, Y, Y, X ), ! eqangle( T, Z, Y, Z
% 35.35/35.76 , Y, Z, X, Z ), coll( skol1( X, Y, Z, T ), X, Y ) }.
% 35.35/35.76 (81200) {G0,W22,D3,L3,V6,M3} { ! cong( Z, X, Z, Y ), ! eqangle( X, Z, Z, T
% 35.35/35.76 , Z, T, Z, Y ), coll( skol2( U, W, Z, T ), Z, T ) }.
% 35.35/35.76 (81201) {G0,W22,D3,L3,V4,M3} { ! cong( Z, X, Z, Y ), ! eqangle( X, Z, Z, T
% 35.35/35.76 , Z, T, Z, Y ), coll( Y, X, skol2( X, Y, Z, T ) ) }.
% 35.35/35.76 (81202) {G0,W22,D3,L3,V6,M3} { ! perp( Z, T, X, Y ), ! eqangle( X, Z, Z, T
% 35.35/35.76 , Z, T, Z, Y ), coll( skol3( U, W, Z, T ), Z, T ) }.
% 35.35/35.76 (81203) {G0,W22,D3,L3,V4,M3} { ! perp( Z, T, X, Y ), ! eqangle( X, Z, Z, T
% 35.35/35.76 , Z, T, Z, Y ), coll( Y, X, skol3( X, Y, Z, T ) ) }.
% 35.35/35.76 (81204) {G0,W18,D3,L3,V6,M3} { ! perp( Z, T, X, Y ), ! cong( Z, X, Z, Y )
% 35.35/35.76 , coll( skol4( U, W, Z, T ), Z, T ) }.
% 35.35/35.76 (81205) {G0,W18,D3,L3,V4,M3} { ! perp( Z, T, X, Y ), ! cong( Z, X, Z, Y )
% 35.35/35.76 , coll( Y, X, skol4( X, Y, Z, T ) ) }.
% 35.35/35.76 (81206) {G0,W22,D3,L3,V6,M3} { ! eqangle( X, Z, Y, Z, X, T, Y, U ), coll(
% 35.35/35.76 X, Y, Z ), cyclic( T, Y, Z, skol5( W, Y, Z, T ) ) }.
% 35.35/35.76 (81207) {G0,W30,D3,L3,V5,M3} { ! eqangle( X, Z, Y, Z, X, T, Y, U ), coll(
% 35.35/35.76 X, Y, Z ), eqangle( X, Z, Y, Z, X, skol5( X, Y, Z, T ), Y, skol5( X, Y, Z
% 35.35/35.76 , T ) ) }.
% 35.35/35.76 (81208) {G0,W18,D3,L3,V10,M3} { ! midp( U, X, Y ), ! midp( W, Z, T ), midp
% 35.35/35.76 ( skol6( X, V0, V1, T, V2, V3 ), X, T ) }.
% 35.35/35.76 (81209) {G0,W19,D3,L3,V8,M3} { ! midp( U, X, Y ), ! midp( W, Z, T ), para
% 35.35/35.76 ( skol6( X, V0, Z, T, V1, W ), W, X, Z ) }.
% 35.35/35.76 (81210) {G0,W19,D3,L3,V6,M3} { ! midp( U, X, Y ), ! midp( W, Z, T ), para
% 35.35/35.76 ( skol6( X, Y, Z, T, U, W ), U, Y, T ) }.
% 35.35/35.76 (81211) {G0,W22,D3,L5,V7,M5} { ! midp( Z, X, Y ), ! midp( W, T, U ), !
% 35.35/35.76 coll( T, X, Y ), ! coll( U, X, Y ), midp( skol7( X, V0 ), X, V0 ) }.
% 35.35/35.76 (81212) {G0,W26,D3,L5,V8,M5} { ! midp( T, X, U ), ! para( X, W, Z, T ), !
% 35.35/35.76 para( X, W, U, Y ), ! coll( W, Y, Z ), coll( skol8( V0, V1, Z, T ), T, Z
% 35.35/35.76 ) }.
% 35.35/35.76 (81213) {G0,W26,D3,L5,V6,M5} { ! midp( T, X, U ), ! para( X, W, Z, T ), !
% 35.35/35.76 para( X, W, U, Y ), ! coll( W, Y, Z ), coll( skol8( X, Y, Z, T ), X, Y )
% 35.35/35.76 }.
% 35.35/35.76 (81214) {G0,W19,D3,L3,V7,M3} { ! cong( T, Z, T, U ), ! perp( X, Y, Y, T )
% 35.35/35.76 , cong( T, Z, T, skol9( W, V0, Z, T ) ) }.
% 35.35/35.76 (81215) {G0,W19,D3,L3,V6,M3} { ! cong( T, Z, T, U ), ! perp( X, Y, Y, T )
% 35.35/35.76 , cong( Y, Z, Y, skol9( W, Y, Z, T ) ) }.
% 35.35/35.76 (81216) {G0,W19,D3,L3,V5,M3} { ! cong( T, Z, T, U ), ! perp( X, Y, Y, T )
% 35.35/35.76 , para( skol9( X, Y, Z, T ), Z, X, Y ) }.
% 35.35/35.76 (81217) {G0,W17,D3,L3,V5,M3} { ! perp( X, T, Y, Z ), ! perp( Y, T, X, Z )
% 35.35/35.76 , coll( skol10( U, Y, Z ), Z, Y ) }.
% 35.35/35.76 (81218) {G0,W18,D3,L3,V4,M3} { ! perp( X, T, Y, Z ), ! perp( Y, T, X, Z )
% 35.35/35.76 , perp( X, skol10( X, Y, Z ), Z, Y ) }.
% 35.35/35.76 (81219) {G0,W14,D2,L3,V4,M3} { ! perp( X, T, Y, Z ), ! perp( Y, T, X, Z )
% 35.35/35.76 , alpha1( X, Y, Z ) }.
% 35.35/35.76 (81220) {G0,W11,D3,L2,V4,M2} { ! alpha1( X, Y, Z ), coll( skol11( X, T, Z
% 35.35/35.76 ), Z, X ) }.
% 35.35/35.76 (81221) {G0,W12,D3,L2,V3,M2} { ! alpha1( X, Y, Z ), perp( Y, skol11( X, Y
% 35.35/35.76 , Z ), Z, X ) }.
% 35.35/35.76 (81222) {G0,W13,D2,L3,V4,M3} { ! coll( T, Z, X ), ! perp( Y, T, Z, X ),
% 35.35/35.76 alpha1( X, Y, Z ) }.
% 35.35/35.76 (81223) {G0,W12,D3,L2,V4,M2} { ! circle( Y, X, Z, T ), perp( skol12( X, Y
% 35.35/35.76 ), X, X, Y ) }.
% 35.35/35.76 (81224) {G0,W28,D3,L5,V8,M5} { ! circle( W, X, Y, Z ), ! cong( W, X, W, T
% 35.35/35.76 ), ! cong( U, X, U, Y ), W = U, alpha2( X, Z, U, skol13( X, V0, Z, V1, U
% 35.35/35.76 ) ) }.
% 35.35/35.76 (81225) {G0,W26,D3,L5,V8,M5} { ! circle( W, X, Y, Z ), ! cong( W, X, W, T
% 35.35/35.76 ), ! cong( U, X, U, Y ), W = U, coll( skol21( V0, Y, T, V1 ), Y, T ) }.
% 35.35/35.76 (81226) {G0,W27,D3,L5,V6,M5} { ! circle( W, X, Y, Z ), ! cong( W, X, W, T
% 35.35/35.76 ), ! cong( U, X, U, Y ), W = U, cong( skol21( X, Y, T, U ), U, U, X )
% 35.35/35.77 }.
% 35.35/35.77 (81227) {G0,W9,D2,L2,V4,M2} { ! alpha2( X, Y, Z, T ), coll( T, X, Y ) }.
% 35.35/35.77 (81228) {G0,W10,D2,L2,V4,M2} { ! alpha2( X, Y, Z, T ), cong( T, Z, Z, X )
% 35.35/35.77 }.
% 35.35/35.77 (81229) {G0,W14,D2,L3,V4,M3} { ! coll( T, X, Y ), ! cong( T, Z, Z, X ),
% 35.35/35.77 alpha2( X, Y, Z, T ) }.
% 35.35/35.77 (81230) {G0,W22,D3,L4,V5,M4} { ! cyclic( X, Y, Z, T ), ! para( X, Y, Z, T
% 35.35/35.77 ), ! midp( U, X, Y ), circle( skol14( X, Y, Z ), X, Y, Z ) }.
% 35.35/35.77 (81231) {G0,W18,D3,L3,V4,M3} { ! perp( X, Z, Z, Y ), ! cyclic( X, Y, Z, T
% 35.35/35.77 ), circle( skol15( X, Y, Z ), X, Y, Z ) }.
% 35.35/35.77 (81232) {G0,W16,D3,L3,V6,M3} { ! perp( X, U, U, T ), ! coll( T, Y, Z ),
% 35.35/35.77 coll( skol16( W, Y, Z ), Y, Z ) }.
% 35.35/35.77 (81233) {G0,W17,D3,L3,V5,M3} { ! perp( X, U, U, T ), ! coll( T, Y, Z ),
% 35.35/35.77 perp( skol16( X, Y, Z ), X, Y, Z ) }.
% 35.35/35.77 (81234) {G0,W20,D3,L4,V5,M4} { ! perp( X, Z, X, Y ), ! perp( Y, X, Y, T )
% 35.35/35.77 , ! midp( U, Z, T ), midp( skol17( X, Y ), X, Y ) }.
% 35.35/35.77 (81235) {G0,W16,D3,L3,V3,M3} { ! cong( Y, X, Y, Z ), ! perp( X, Y, Y, Z )
% 35.35/35.77 , coll( X, Y, skol18( X, Y ) ) }.
% 35.35/35.77 (81236) {G0,W17,D3,L3,V3,M3} { ! cong( Y, X, Y, Z ), ! perp( X, Y, Y, Z )
% 35.35/35.77 , cong( Y, X, Y, skol18( X, Y ) ) }.
% 35.35/35.77 (81237) {G0,W25,D3,L5,V8,M5} { ! para( U, W, X, Y ), ! coll( Z, U, X ), !
% 35.35/35.77 coll( Z, W, Y ), ! coll( T, U, W ), coll( Z, T, skol19( V0, V1, Z, T ) )
% 35.35/35.77 }.
% 35.35/35.77 (81238) {G0,W25,D3,L5,V6,M5} { ! para( U, W, X, Y ), ! coll( Z, U, X ), !
% 35.35/35.77 coll( Z, W, Y ), ! coll( T, U, W ), coll( skol19( X, Y, Z, T ), X, Y )
% 35.35/35.77 }.
% 35.35/35.77 (81239) {G0,W4,D2,L1,V0,M1} { midp( skol20, skol26, skol25 ) }.
% 35.35/35.77 (81240) {G0,W4,D2,L1,V0,M1} { midp( skol22, skol26, skol27 ) }.
% 35.35/35.77 (81241) {G0,W4,D2,L1,V0,M1} { midp( skol23, skol25, skol27 ) }.
% 35.35/35.77 (81242) {G0,W5,D2,L1,V0,M1} { circle( skol24, skol27, skol25, skol26 ) }.
% 35.35/35.77 (81243) {G0,W5,D2,L1,V0,M1} { ! perp( skol24, skol20, skol22, skol23 ) }.
% 35.35/35.77
% 35.35/35.77
% 35.35/35.77 Total Proof:
% 35.35/35.77
% 35.35/35.77 subsumption: (0) {G0,W8,D2,L2,V3,M2} I { ! coll( X, Y, Z ), coll( X, Z, Y )
% 35.35/35.77 }.
% 35.35/35.77 parent0: (81122) {G0,W8,D2,L2,V3,M2} { ! coll( X, Y, Z ), coll( X, Z, Y )
% 35.35/35.77 }.
% 35.35/35.77 substitution0:
% 35.35/35.77 X := X
% 35.35/35.77 Y := Y
% 35.35/35.77 Z := Z
% 35.35/35.77 end
% 35.35/35.77 permutation0:
% 35.35/35.77 0 ==> 0
% 35.35/35.77 1 ==> 1
% 35.35/35.77 end
% 35.35/35.77
% 35.35/35.77 subsumption: (1) {G0,W8,D2,L2,V3,M2} I { ! coll( X, Y, Z ), coll( Y, X, Z )
% 35.35/35.77 }.
% 35.35/35.77 parent0: (81123) {G0,W8,D2,L2,V3,M2} { ! coll( X, Y, Z ), coll( Y, X, Z )
% 35.35/35.77 }.
% 35.35/35.77 substitution0:
% 35.35/35.77 X := X
% 35.35/35.77 Y := Y
% 35.35/35.77 Z := Z
% 35.35/35.77 end
% 35.35/35.77 permutation0:
% 35.35/35.77 0 ==> 0
% 35.35/35.77 1 ==> 1
% 35.35/35.77 end
% 35.35/35.77
% 35.35/35.77 subsumption: (2) {G0,W12,D2,L3,V4,M3} I { ! coll( X, T, Y ), ! coll( X, T,
% 35.35/35.77 Z ), coll( Y, Z, X ) }.
% 35.35/35.77 parent0: (81124) {G0,W12,D2,L3,V4,M3} { ! coll( X, T, Y ), ! coll( X, T, Z
% 35.35/35.77 ), coll( Y, Z, X ) }.
% 35.35/35.77 substitution0:
% 35.35/35.77 X := X
% 35.35/35.77 Y := Y
% 35.35/35.77 Z := Z
% 35.35/35.77 T := T
% 35.35/35.77 end
% 35.35/35.77 permutation0:
% 35.35/35.77 0 ==> 0
% 35.35/35.77 1 ==> 1
% 35.35/35.77 2 ==> 2
% 35.35/35.77 end
% 35.35/35.77
% 35.35/35.77 subsumption: (3) {G0,W10,D2,L2,V4,M2} I { ! para( X, Y, Z, T ), para( X, Y
% 35.35/35.77 , T, Z ) }.
% 35.35/35.77 parent0: (81125) {G0,W10,D2,L2,V4,M2} { ! para( X, Y, Z, T ), para( X, Y,
% 35.35/35.77 T, Z ) }.
% 35.35/35.77 substitution0:
% 35.35/35.77 X := X
% 35.35/35.77 Y := Y
% 35.35/35.77 Z := Z
% 35.35/35.77 T := T
% 35.35/35.77 end
% 35.35/35.77 permutation0:
% 35.35/35.77 0 ==> 0
% 35.35/35.77 1 ==> 1
% 35.35/35.77 end
% 35.35/35.77
% 35.35/35.77 subsumption: (4) {G0,W10,D2,L2,V4,M2} I { ! para( X, Y, Z, T ), para( Z, T
% 35.35/35.77 , X, Y ) }.
% 35.35/35.77 parent0: (81126) {G0,W10,D2,L2,V4,M2} { ! para( X, Y, Z, T ), para( Z, T,
% 35.35/35.77 X, Y ) }.
% 35.35/35.77 substitution0:
% 35.35/35.77 X := X
% 35.35/35.77 Y := Y
% 35.35/35.77 Z := Z
% 35.35/35.77 T := T
% 35.35/35.77 end
% 35.35/35.77 permutation0:
% 35.35/35.77 0 ==> 0
% 35.35/35.77 1 ==> 1
% 35.35/35.77 end
% 35.35/35.77
% 35.35/35.77 subsumption: (6) {G0,W10,D2,L2,V4,M2} I { ! perp( X, Y, Z, T ), perp( X, Y
% 35.35/35.77 , T, Z ) }.
% 35.35/35.77 parent0: (81128) {G0,W10,D2,L2,V4,M2} { ! perp( X, Y, Z, T ), perp( X, Y,
% 35.35/35.77 T, Z ) }.
% 35.35/35.77 substitution0:
% 35.35/35.77 X := X
% 35.35/35.77 Y := Y
% 35.35/35.77 Z := Z
% 35.35/35.77 T := T
% 35.35/35.77 end
% 35.35/35.77 permutation0:
% 35.35/35.77 0 ==> 0
% 35.35/35.77 1 ==> 1
% 35.35/35.77 end
% 35.35/35.77
% 35.35/35.77 subsumption: (7) {G0,W10,D2,L2,V4,M2} I { ! perp( X, Y, Z, T ), perp( Z, T
% 35.35/35.77 , X, Y ) }.
% 35.35/35.77 parent0: (81129) {G0,W10,D2,L2,V4,M2} { ! perp( X, Y, Z, T ), perp( Z, T,
% 35.35/35.77 X, Y ) }.
% 35.35/35.77 substitution0:
% 35.35/35.77 X := X
% 35.35/35.77 Y := Y
% 35.35/35.77 Z := Z
% 35.35/35.77 T := T
% 35.35/35.77 end
% 35.35/35.77 permutation0:
% 35.35/35.77 0 ==> 0
% 35.35/35.77 1 ==> 1
% 35.35/35.77 end
% 35.35/35.77
% 35.35/35.77 subsumption: (8) {G0,W15,D2,L3,V6,M3} I { ! perp( X, Y, U, W ), ! perp( U,
% 35.35/35.77 W, Z, T ), para( X, Y, Z, T ) }.
% 35.35/35.77 parent0: (81130) {G0,W15,D2,L3,V6,M3} { ! perp( X, Y, U, W ), ! perp( U, W
% 35.35/35.77 , Z, T ), para( X, Y, Z, T ) }.
% 35.35/35.77 substitution0:
% 35.35/35.77 X := X
% 35.35/35.77 Y := Y
% 35.35/35.77 Z := Z
% 35.35/35.77 T := T
% 35.35/35.77 U := U
% 35.35/35.77 W := W
% 35.35/35.77 end
% 35.35/35.77 permutation0:
% 35.35/35.77 0 ==> 0
% 35.35/35.77 1 ==> 1
% 35.35/35.77 2 ==> 2
% 35.35/35.77 end
% 35.35/35.77
% 35.35/35.77 subsumption: (9) {G0,W15,D2,L3,V6,M3} I { ! para( X, Y, U, W ), ! perp( U,
% 35.35/35.77 W, Z, T ), perp( X, Y, Z, T ) }.
% 35.35/35.77 parent0: (81131) {G0,W15,D2,L3,V6,M3} { ! para( X, Y, U, W ), ! perp( U, W
% 35.35/35.77 , Z, T ), perp( X, Y, Z, T ) }.
% 35.35/35.77 substitution0:
% 35.35/35.77 X := X
% 35.35/35.77 Y := Y
% 35.35/35.77 Z := Z
% 35.35/35.77 T := T
% 35.35/35.77 U := U
% 35.35/35.77 W := W
% 35.35/35.77 end
% 35.35/35.77 permutation0:
% 35.35/35.77 0 ==> 0
% 35.35/35.77 1 ==> 1
% 35.35/35.77 2 ==> 2
% 35.35/35.77 end
% 35.35/35.77
% 35.35/35.77 subsumption: (10) {G0,W8,D2,L2,V3,M2} I { ! midp( Z, Y, X ), midp( Z, X, Y
% 35.35/35.77 ) }.
% 35.35/35.77 parent0: (81132) {G0,W8,D2,L2,V3,M2} { ! midp( Z, Y, X ), midp( Z, X, Y )
% 35.35/35.77 }.
% 35.35/35.77 substitution0:
% 35.35/35.77 X := X
% 35.35/35.77 Y := Y
% 35.35/35.77 Z := Z
% 35.35/35.77 end
% 35.35/35.77 permutation0:
% 35.35/35.77 0 ==> 0
% 35.35/35.77 1 ==> 1
% 35.35/35.77 end
% 35.35/35.77
% 35.35/35.77 subsumption: (12) {G0,W20,D2,L4,V5,M4} I { ! cong( U, X, U, Y ), ! cong( U
% 35.35/35.77 , X, U, Z ), ! cong( U, X, U, T ), cyclic( X, Y, Z, T ) }.
% 35.35/35.77 parent0: (81134) {G0,W20,D2,L4,V5,M4} { ! cong( U, X, U, Y ), ! cong( U, X
% 35.35/35.77 , U, Z ), ! cong( U, X, U, T ), cyclic( X, Y, Z, T ) }.
% 35.35/35.77 substitution0:
% 35.35/35.77 X := X
% 35.35/35.77 Y := Y
% 35.35/35.77 Z := Z
% 35.35/35.77 T := T
% 35.35/35.77 U := U
% 35.35/35.77 end
% 35.35/35.77 permutation0:
% 35.35/35.77 0 ==> 0
% 35.35/35.77 1 ==> 1
% 35.35/35.77 2 ==> 2
% 35.35/35.77 3 ==> 3
% 35.35/35.77 end
% 35.35/35.77
% 35.35/35.77 subsumption: (13) {G0,W10,D2,L2,V4,M2} I { ! cyclic( X, Y, Z, T ), cyclic(
% 35.35/35.77 X, Y, T, Z ) }.
% 35.35/35.77 parent0: (81135) {G0,W10,D2,L2,V4,M2} { ! cyclic( X, Y, Z, T ), cyclic( X
% 35.35/35.77 , Y, T, Z ) }.
% 35.35/35.77 substitution0:
% 35.35/35.77 X := X
% 35.35/35.77 Y := Y
% 35.35/35.77 Z := Z
% 35.35/35.77 T := T
% 35.35/35.77 end
% 35.35/35.77 permutation0:
% 35.35/35.77 0 ==> 0
% 35.35/35.77 1 ==> 1
% 35.35/35.77 end
% 35.35/35.77
% 35.35/35.77 subsumption: (14) {G0,W10,D2,L2,V4,M2} I { ! cyclic( X, Y, Z, T ), cyclic(
% 35.35/35.77 X, Z, Y, T ) }.
% 35.35/35.77 parent0: (81136) {G0,W10,D2,L2,V4,M2} { ! cyclic( X, Y, Z, T ), cyclic( X
% 35.35/35.77 , Z, Y, T ) }.
% 35.35/35.77 substitution0:
% 35.35/35.77 X := X
% 35.35/35.77 Y := Y
% 35.35/35.77 Z := Z
% 35.35/35.77 T := T
% 35.35/35.77 end
% 35.35/35.77 permutation0:
% 35.35/35.77 0 ==> 0
% 35.35/35.77 1 ==> 1
% 35.35/35.77 end
% 35.35/35.77
% 35.35/35.77 subsumption: (15) {G0,W10,D2,L2,V4,M2} I { ! cyclic( X, Y, Z, T ), cyclic(
% 35.35/35.77 Y, X, Z, T ) }.
% 35.35/35.77 parent0: (81137) {G0,W10,D2,L2,V4,M2} { ! cyclic( X, Y, Z, T ), cyclic( Y
% 35.35/35.77 , X, Z, T ) }.
% 35.35/35.77 substitution0:
% 35.35/35.77 X := X
% 35.35/35.77 Y := Y
% 35.35/35.77 Z := Z
% 35.35/35.77 T := T
% 35.35/35.77 end
% 35.35/35.77 permutation0:
% 35.35/35.77 0 ==> 0
% 35.35/35.77 1 ==> 1
% 35.35/35.77 end
% 35.35/35.77
% 35.35/35.77 subsumption: (16) {G0,W15,D2,L3,V5,M3} I { ! cyclic( U, X, Y, Z ), ! cyclic
% 35.35/35.77 ( U, X, Y, T ), cyclic( X, Y, Z, T ) }.
% 35.35/35.77 parent0: (81138) {G0,W15,D2,L3,V5,M3} { ! cyclic( U, X, Y, Z ), ! cyclic(
% 35.35/35.77 U, X, Y, T ), cyclic( X, Y, Z, T ) }.
% 35.35/35.77 substitution0:
% 35.35/35.77 X := X
% 35.35/35.77 Y := Y
% 35.35/35.77 Z := Z
% 35.35/35.77 T := T
% 35.35/35.77 U := U
% 35.35/35.77 end
% 35.35/35.77 permutation0:
% 35.35/35.77 0 ==> 0
% 35.35/35.77 1 ==> 1
% 35.35/35.77 2 ==> 2
% 35.35/35.77 end
% 35.35/35.77
% 35.35/35.77 subsumption: (22) {G0,W10,D2,L2,V4,M2} I { ! cong( X, Y, Z, T ), cong( X, Y
% 35.35/35.77 , T, Z ) }.
% 35.35/35.77 parent0: (81144) {G0,W10,D2,L2,V4,M2} { ! cong( X, Y, Z, T ), cong( X, Y,
% 35.35/35.77 T, Z ) }.
% 35.35/35.77 substitution0:
% 35.35/35.77 X := X
% 35.35/35.77 Y := Y
% 35.35/35.77 Z := Z
% 35.35/35.77 T := T
% 35.35/35.77 end
% 35.35/35.77 permutation0:
% 35.35/35.77 0 ==> 0
% 35.35/35.77 1 ==> 1
% 35.35/35.77 end
% 35.35/35.77
% 35.35/35.77 subsumption: (23) {G0,W10,D2,L2,V4,M2} I { ! cong( X, Y, Z, T ), cong( Z, T
% 35.35/35.77 , X, Y ) }.
% 35.35/35.77 parent0: (81145) {G0,W10,D2,L2,V4,M2} { ! cong( X, Y, Z, T ), cong( Z, T,
% 35.35/35.77 X, Y ) }.
% 35.35/35.77 substitution0:
% 35.35/35.77 X := X
% 35.35/35.77 Y := Y
% 35.35/35.77 Z := Z
% 35.35/35.77 T := T
% 35.35/35.77 end
% 35.35/35.77 permutation0:
% 35.35/35.77 0 ==> 0
% 35.35/35.77 1 ==> 1
% 35.35/35.77 end
% 35.35/35.77
% 35.35/35.77 subsumption: (39) {G0,W14,D2,L2,V6,M2} I { ! para( X, Y, Z, T ), eqangle( X
% 35.35/35.77 , Y, U, W, Z, T, U, W ) }.
% 35.35/35.77 parent0: (81161) {G0,W14,D2,L2,V6,M2} { ! para( X, Y, Z, T ), eqangle( X,
% 35.35/35.77 Y, U, W, Z, T, U, W ) }.
% 35.35/35.77 substitution0:
% 35.35/35.77 X := X
% 35.35/35.77 Y := Y
% 35.35/35.77 Z := Z
% 35.35/35.77 T := T
% 35.35/35.77 U := U
% 35.35/35.77 W := W
% 35.35/35.77 end
% 35.35/35.77 permutation0:
% 35.35/35.77 0 ==> 0
% 35.35/35.77 1 ==> 1
% 35.35/35.77 end
% 35.35/35.77
% 35.35/35.77 subsumption: (40) {G0,W14,D2,L2,V4,M2} I { ! cyclic( X, Y, Z, T ), eqangle
% 35.35/35.77 ( Z, X, Z, Y, T, X, T, Y ) }.
% 35.35/35.77 parent0: (81162) {G0,W14,D2,L2,V4,M2} { ! cyclic( X, Y, Z, T ), eqangle( Z
% 35.35/35.77 , X, Z, Y, T, X, T, Y ) }.
% 35.35/35.77 substitution0:
% 35.35/35.77 X := X
% 35.35/35.77 Y := Y
% 35.35/35.77 Z := Z
% 35.35/35.77 T := T
% 35.35/35.77 end
% 35.35/35.77 permutation0:
% 35.35/35.77 0 ==> 0
% 35.35/35.77 1 ==> 1
% 35.35/35.77 end
% 35.35/35.77
% 35.35/35.77 subsumption: (42) {G0,W18,D2,L3,V4,M3} I { ! eqangle( Z, X, Z, Y, T, X, T,
% 35.35/35.77 Y ), ! coll( Z, T, Y ), cyclic( X, Y, Z, T ) }.
% 35.35/35.77 parent0: (81164) {G0,W18,D2,L3,V4,M3} { ! eqangle( Z, X, Z, Y, T, X, T, Y
% 35.35/35.77 ), ! coll( Z, T, Y ), cyclic( X, Y, Z, T ) }.
% 35.35/35.77 substitution0:
% 35.35/35.77 X := X
% 35.35/35.77 Y := Y
% 35.35/35.77 Z := Z
% 35.35/35.77 T := T
% 35.35/35.77 end
% 35.35/35.77 permutation0:
% 35.35/35.77 0 ==> 0
% 35.35/35.77 1 ==> 1
% 35.35/35.77 2 ==> 2
% 35.35/35.77 end
% 35.35/35.77
% 35.35/35.77 subsumption: (43) {G0,W29,D2,L5,V6,M5} I { ! cyclic( X, Y, U, Z ), ! cyclic
% 35.35/35.77 ( X, Y, U, T ), ! cyclic( X, Y, U, W ), ! eqangle( U, X, U, Y, W, Z, W, T
% 35.35/35.77 ), cong( X, Y, Z, T ) }.
% 35.35/35.77 parent0: (81165) {G0,W29,D2,L5,V6,M5} { ! cyclic( X, Y, U, Z ), ! cyclic(
% 35.35/35.77 X, Y, U, T ), ! cyclic( X, Y, U, W ), ! eqangle( U, X, U, Y, W, Z, W, T )
% 35.35/35.77 , cong( X, Y, Z, T ) }.
% 35.35/35.77 substitution0:
% 35.35/35.77 X := X
% 35.35/35.77 Y := Y
% 35.35/35.77 Z := Z
% 35.35/35.77 T := T
% 35.35/35.77 U := U
% 35.35/35.77 W := W
% 35.35/35.77 end
% 35.35/35.77 permutation0:
% 35.35/35.77 0 ==> 0
% 35.35/35.77 1 ==> 1
% 35.35/35.77 2 ==> 2
% 35.35/35.77 3 ==> 3
% 35.35/35.77 4 ==> 4
% 35.35/35.77 end
% 35.35/35.77
% 35.35/35.77 subsumption: (52) {G0,W14,D2,L3,V4,M3} I { ! perp( X, Y, Y, T ), ! midp( Z
% 35.35/35.77 , X, T ), cong( X, Z, Y, Z ) }.
% 35.35/35.77 parent0: (81174) {G0,W14,D2,L3,V4,M3} { ! perp( X, Y, Y, T ), ! midp( Z, X
% 35.35/35.77 , T ), cong( X, Z, Y, Z ) }.
% 35.35/35.77 substitution0:
% 35.35/35.77 X := X
% 35.35/35.77 Y := Y
% 35.35/35.77 Z := Z
% 35.35/35.77 T := T
% 35.35/35.77 end
% 35.35/35.77 permutation0:
% 35.35/35.77 0 ==> 0
% 35.35/35.77 1 ==> 1
% 35.35/35.77 2 ==> 2
% 35.35/35.77 end
% 35.35/35.77
% 35.35/35.77 subsumption: (53) {G0,W14,D2,L3,V4,M3} I { ! circle( T, X, Y, Z ), ! coll(
% 35.35/35.77 T, X, Z ), perp( X, Y, Y, Z ) }.
% 35.35/35.77 parent0: (81175) {G0,W14,D2,L3,V4,M3} { ! circle( T, X, Y, Z ), ! coll( T
% 35.35/35.77 , X, Z ), perp( X, Y, Y, Z ) }.
% 35.35/35.77 substitution0:
% 35.35/35.77 X := X
% 35.35/35.77 Y := Y
% 35.35/35.77 Z := Z
% 35.35/35.77 T := T
% 35.35/35.77 end
% 35.35/35.77 permutation0:
% 35.35/35.77 0 ==> 0
% 35.35/35.77 1 ==> 1
% 35.35/35.77 2 ==> 2
% 35.35/35.77 end
% 35.35/35.77
% 35.35/35.77 subsumption: (56) {G0,W15,D2,L3,V4,M3} I { ! cong( X, Z, Y, Z ), ! cong( X
% 35.35/35.77 , T, Y, T ), perp( X, Y, Z, T ) }.
% 35.35/35.77 parent0: (81178) {G0,W15,D2,L3,V4,M3} { ! cong( X, Z, Y, Z ), ! cong( X, T
% 35.35/35.77 , Y, T ), perp( X, Y, Z, T ) }.
% 35.35/35.77 substitution0:
% 35.35/35.77 X := X
% 35.35/35.77 Y := Y
% 35.35/35.77 Z := Z
% 35.35/35.77 T := T
% 35.35/35.77 end
% 35.35/35.77 permutation0:
% 35.35/35.77 0 ==> 0
% 35.35/35.77 1 ==> 1
% 35.35/35.77 2 ==> 2
% 35.35/35.77 end
% 35.35/35.77
% 35.35/35.77 subsumption: (57) {G0,W20,D2,L4,V4,M4} I { ! cong( X, Y, T, Y ), ! cong( X
% 35.35/35.77 , Z, T, Z ), ! cyclic( X, T, Y, Z ), perp( Y, X, X, Z ) }.
% 35.35/35.77 parent0: (81179) {G0,W20,D2,L4,V4,M4} { ! cong( X, Y, T, Y ), ! cong( X, Z
% 35.35/35.77 , T, Z ), ! cyclic( X, T, Y, Z ), perp( Y, X, X, Z ) }.
% 35.35/35.77 substitution0:
% 35.35/35.77 X := X
% 35.35/35.77 Y := Y
% 35.35/35.77 Z := Z
% 35.35/35.77 T := T
% 35.35/35.77 end
% 35.35/35.77 permutation0:
% 35.35/35.77 0 ==> 0
% 35.35/35.77 1 ==> 1
% 35.35/35.77 2 ==> 2
% 35.35/35.77 3 ==> 3
% 35.35/35.77 end
% 35.35/35.77
% 35.35/35.77 subsumption: (63) {G0,W13,D2,L3,V5,M3} I { ! midp( U, X, Y ), ! midp( U, Z
% 35.35/35.77 , T ), para( X, Z, Y, T ) }.
% 35.35/35.77 parent0: (81185) {G0,W13,D2,L3,V5,M3} { ! midp( U, X, Y ), ! midp( U, Z, T
% 35.35/35.77 ), para( X, Z, Y, T ) }.
% 35.35/35.77 substitution0:
% 35.35/35.77 X := X
% 35.35/35.77 Y := Y
% 35.35/35.77 Z := Z
% 35.35/35.77 T := T
% 35.35/35.77 U := U
% 35.35/35.77 end
% 35.35/35.77 permutation0:
% 35.35/35.77 0 ==> 0
% 35.35/35.77 1 ==> 1
% 35.35/35.77 2 ==> 2
% 35.35/35.77 end
% 35.35/35.77
% 35.35/35.77 subsumption: (68) {G0,W9,D2,L2,V3,M2} I { ! midp( X, Y, Z ), cong( X, Y, X
% 35.35/35.77 , Z ) }.
% 35.35/35.77 parent0: (81190) {G0,W9,D2,L2,V3,M2} { ! midp( X, Y, Z ), cong( X, Y, X, Z
% 35.35/35.77 ) }.
% 35.35/35.77 substitution0:
% 35.35/35.77 X := X
% 35.35/35.77 Y := Y
% 35.35/35.77 Z := Z
% 35.35/35.77 end
% 35.35/35.77 permutation0:
% 35.35/35.77 0 ==> 0
% 35.35/35.77 1 ==> 1
% 35.35/35.77 end
% 35.35/35.77
% 35.35/35.77 subsumption: (69) {G0,W8,D2,L2,V3,M2} I { ! midp( X, Y, Z ), coll( X, Y, Z
% 35.35/35.77 ) }.
% 35.35/35.77 parent0: (81191) {G0,W8,D2,L2,V3,M2} { ! midp( X, Y, Z ), coll( X, Y, Z )
% 35.35/35.77 }.
% 35.35/35.77 substitution0:
% 35.35/35.77 X := X
% 35.35/35.77 Y := Y
% 35.35/35.77 Z := Z
% 35.35/35.77 end
% 35.35/35.77 permutation0:
% 35.35/35.77 0 ==> 0
% 35.35/35.77 1 ==> 1
% 35.35/35.77 end
% 35.35/35.77
% 35.35/35.77 subsumption: (88) {G0,W22,D3,L5,V7,M5} I { ! midp( Z, X, Y ), ! midp( W, T
% 35.35/35.77 , U ), ! coll( T, X, Y ), ! coll( U, X, Y ), midp( skol7( X, V0 ), X, V0
% 35.35/35.77 ) }.
% 35.35/35.77 parent0: (81211) {G0,W22,D3,L5,V7,M5} { ! midp( Z, X, Y ), ! midp( W, T, U
% 35.35/35.77 ), ! coll( T, X, Y ), ! coll( U, X, Y ), midp( skol7( X, V0 ), X, V0 )
% 35.35/35.77 }.
% 35.35/35.77 substitution0:
% 35.35/35.77 X := X
% 35.35/35.77 Y := Y
% 35.35/35.77 Z := Z
% 35.35/35.77 T := T
% 35.35/35.77 U := U
% 35.35/35.77 W := W
% 35.35/35.77 V0 := V0
% 35.35/35.77 end
% 35.35/35.77 permutation0:
% 35.35/35.77 0 ==> 0
% 35.35/35.77 1 ==> 1
% 35.35/35.77 2 ==> 2
% 35.35/35.77 3 ==> 3
% 35.35/35.77 4 ==> 4
% 35.35/35.77 end
% 35.35/35.77
% 35.35/35.77 subsumption: (116) {G0,W4,D2,L1,V0,M1} I { midp( skol20, skol26, skol25 )
% 35.35/35.77 }.
% 35.35/35.77 parent0: (81239) {G0,W4,D2,L1,V0,M1} { midp( skol20, skol26, skol25 ) }.
% 35.35/35.77 substitution0:
% 35.35/35.77 end
% 35.35/35.77 permutation0:
% 35.35/35.77 0 ==> 0
% 35.35/35.77 end
% 35.35/35.77
% 35.35/35.77 subsumption: (117) {G0,W4,D2,L1,V0,M1} I { midp( skol22, skol26, skol27 )
% 35.35/35.77 }.
% 35.35/35.77 parent0: (81240) {G0,W4,D2,L1,V0,M1} { midp( skol22, skol26, skol27 ) }.
% 35.35/35.77 substitution0:
% 35.35/35.77 end
% 35.35/35.77 permutation0:
% 35.35/35.77 0 ==> 0
% 35.35/35.77 end
% 35.35/35.77
% 35.35/35.77 subsumption: (118) {G0,W4,D2,L1,V0,M1} I { midp( skol23, skol25, skol27 )
% 35.35/35.77 }.
% 35.35/35.77 parent0: (81241) {G0,W4,D2,L1,V0,M1} { midp( skol23, skol25, skol27 ) }.
% 35.35/35.77 substitution0:
% 35.35/35.77 end
% 35.35/35.77 permutation0:
% 35.35/35.77 0 ==> 0
% 35.35/35.77 end
% 35.35/35.77
% 35.35/35.77 subsumption: (119) {G0,W5,D2,L1,V0,M1} I { circle( skol24, skol27, skol25,
% 35.35/35.77 skol26 ) }.
% 35.35/35.77 parent0: (81242) {G0,W5,D2,L1,V0,M1} { circle( skol24, skol27, skol25,
% 35.35/35.77 skol26 ) }.
% 35.35/35.77 substitution0:
% 35.35/35.77 end
% 35.35/35.77 permutation0:
% 35.35/35.77 0 ==> 0
% 35.35/35.77 end
% 35.35/35.77
% 35.35/35.77 subsumption: (120) {G0,W5,D2,L1,V0,M1} I { ! perp( skol24, skol20, skol22,
% 35.35/35.77 skol23 ) }.
% 35.35/35.77 parent0: (81243) {G0,W5,D2,L1,V0,M1} { ! perp( skol24, skol20, skol22,
% 35.35/35.77 skol23 ) }.
% 35.35/35.77 substitution0:
% 35.35/35.77 end
% 35.35/35.77 permutation0:
% 35.35/35.77 0 ==> 0
% 35.35/35.77 end
% 35.35/35.77
% 35.35/35.77 factor: (81827) {G0,W15,D2,L3,V4,M3} { ! cong( X, Y, X, Z ), ! cong( X, Y
% 35.35/35.77 , X, T ), cyclic( Y, Z, T, T ) }.
% 35.35/35.77 parent0[1, 2]: (12) {G0,W20,D2,L4,V5,M4} I { ! cong( U, X, U, Y ), ! cong(
% 35.35/35.77 U, X, U, Z ), ! cong( U, X, U, T ), cyclic( X, Y, Z, T ) }.
% 35.35/35.77 substitution0:
% 35.35/35.77 X := Y
% 35.35/35.77 Y := Z
% 35.35/35.77 Z := T
% 35.35/35.77 T := T
% 35.35/35.77 U := X
% 35.35/35.77 end
% 35.35/35.77
% 35.35/35.77 subsumption: (126) {G1,W15,D2,L3,V4,M3} F(12) { ! cong( X, Y, X, Z ), !
% 35.35/35.77 cong( X, Y, X, T ), cyclic( Y, Z, T, T ) }.
% 35.35/35.77 parent0: (81827) {G0,W15,D2,L3,V4,M3} { ! cong( X, Y, X, Z ), ! cong( X, Y
% 35.35/35.77 , X, T ), cyclic( Y, Z, T, T ) }.
% 35.35/35.77 substitution0:
% 35.35/35.77 X := X
% 35.35/35.77 Y := Y
% 35.35/35.77 Z := Z
% 35.35/35.77 T := T
% 35.35/35.77 end
% 35.35/35.77 permutation0:
% 35.35/35.77 0 ==> 0
% 35.35/35.77 1 ==> 1
% 35.35/35.77 2 ==> 2
% 35.35/35.77 end
% 35.35/35.77
% 35.35/35.77 factor: (81829) {G1,W10,D2,L2,V3,M2} { ! cong( X, Y, X, Z ), cyclic( Y, Z
% 35.35/35.77 , Z, Z ) }.
% 35.35/35.77 parent0[0, 1]: (126) {G1,W15,D2,L3,V4,M3} F(12) { ! cong( X, Y, X, Z ), !
% 35.35/35.77 cong( X, Y, X, T ), cyclic( Y, Z, T, T ) }.
% 35.35/35.77 substitution0:
% 35.35/35.77 X := X
% 35.35/35.77 Y := Y
% 35.35/35.77 Z := Z
% 35.35/35.77 T := Z
% 35.35/35.77 end
% 35.35/35.77
% 35.35/35.77 subsumption: (127) {G2,W10,D2,L2,V3,M2} F(126) { ! cong( X, Y, X, Z ),
% 35.35/35.77 cyclic( Y, Z, Z, Z ) }.
% 35.35/35.77 parent0: (81829) {G1,W10,D2,L2,V3,M2} { ! cong( X, Y, X, Z ), cyclic( Y, Z
% 35.35/35.77 , Z, Z ) }.
% 35.35/35.77 substitution0:
% 35.35/35.77 X := X
% 35.35/35.77 Y := Y
% 35.35/35.77 Z := Z
% 35.35/35.77 end
% 35.35/35.77 permutation0:
% 35.35/35.77 0 ==> 0
% 35.35/35.77 1 ==> 1
% 35.35/35.77 end
% 35.35/35.77
% 35.35/35.77 factor: (81830) {G0,W10,D2,L2,V4,M2} { ! cyclic( X, Y, Z, T ), cyclic( Y,
% 35.35/35.77 Z, T, T ) }.
% 35.35/35.77 parent0[0, 1]: (16) {G0,W15,D2,L3,V5,M3} I { ! cyclic( U, X, Y, Z ), !
% 35.35/35.77 cyclic( U, X, Y, T ), cyclic( X, Y, Z, T ) }.
% 35.35/35.77 substitution0:
% 35.35/35.77 X := Y
% 35.35/35.77 Y := Z
% 35.35/35.77 Z := T
% 35.35/35.77 T := T
% 35.35/35.77 U := X
% 35.35/35.77 end
% 35.35/35.77
% 35.35/35.77 subsumption: (128) {G1,W10,D2,L2,V4,M2} F(16) { ! cyclic( X, Y, Z, T ),
% 35.35/35.77 cyclic( Y, Z, T, T ) }.
% 35.35/35.77 parent0: (81830) {G0,W10,D2,L2,V4,M2} { ! cyclic( X, Y, Z, T ), cyclic( Y
% 35.35/35.77 , Z, T, T ) }.
% 35.35/35.77 substitution0:
% 35.35/35.77 X := X
% 35.35/35.77 Y := Y
% 35.35/35.77 Z := Z
% 35.35/35.77 T := T
% 35.35/35.77 end
% 35.35/35.77 permutation0:
% 35.35/35.77 0 ==> 0
% 35.35/35.77 1 ==> 1
% 35.35/35.77 end
% 35.35/35.77
% 35.35/35.77 factor: (81831) {G0,W15,D2,L3,V3,M3} { ! cong( X, Y, Z, Y ), ! cyclic( X,
% 35.35/35.77 Z, Y, Y ), perp( Y, X, X, Y ) }.
% 35.35/35.77 parent0[0, 1]: (57) {G0,W20,D2,L4,V4,M4} I { ! cong( X, Y, T, Y ), ! cong(
% 35.35/35.77 X, Z, T, Z ), ! cyclic( X, T, Y, Z ), perp( Y, X, X, Z ) }.
% 35.35/35.77 substitution0:
% 35.35/35.77 X := X
% 35.35/35.77 Y := Y
% 35.35/35.77 Z := Y
% 35.35/35.77 T := Z
% 35.35/35.77 end
% 35.35/35.77
% 35.35/35.77 subsumption: (134) {G1,W15,D2,L3,V3,M3} F(57) { ! cong( X, Y, Z, Y ), !
% 35.35/35.77 cyclic( X, Z, Y, Y ), perp( Y, X, X, Y ) }.
% 35.35/35.77 parent0: (81831) {G0,W15,D2,L3,V3,M3} { ! cong( X, Y, Z, Y ), ! cyclic( X
% 35.35/35.77 , Z, Y, Y ), perp( Y, X, X, Y ) }.
% 35.35/35.77 substitution0:
% 35.35/35.77 X := X
% 35.35/35.77 Y := Y
% 35.35/35.77 Z := Z
% 35.35/35.77 end
% 35.35/35.77 permutation0:
% 35.35/35.77 0 ==> 0
% 35.35/35.77 1 ==> 1
% 35.35/35.77 2 ==> 2
% 35.35/35.77 end
% 35.35/35.77
% 35.35/35.77 factor: (81832) {G0,W18,D3,L4,V4,M4} { ! midp( X, Y, Z ), ! coll( Y, Y, Z
% 35.35/35.77 ), ! coll( Z, Y, Z ), midp( skol7( Y, T ), Y, T ) }.
% 35.35/35.77 parent0[0, 1]: (88) {G0,W22,D3,L5,V7,M5} I { ! midp( Z, X, Y ), ! midp( W,
% 35.35/35.77 T, U ), ! coll( T, X, Y ), ! coll( U, X, Y ), midp( skol7( X, V0 ), X, V0
% 35.35/35.77 ) }.
% 35.35/35.77 substitution0:
% 35.35/35.77 X := Y
% 35.35/35.77 Y := Z
% 35.35/35.77 Z := X
% 35.35/35.77 T := Y
% 35.35/35.77 U := Z
% 35.35/35.77 W := X
% 35.35/35.77 V0 := T
% 35.35/35.77 end
% 35.35/35.77
% 35.35/35.77 subsumption: (143) {G1,W18,D3,L4,V4,M4} F(88) { ! midp( X, Y, Z ), ! coll(
% 35.35/35.77 Y, Y, Z ), ! coll( Z, Y, Z ), midp( skol7( Y, T ), Y, T ) }.
% 35.35/35.77 parent0: (81832) {G0,W18,D3,L4,V4,M4} { ! midp( X, Y, Z ), ! coll( Y, Y, Z
% 35.35/35.77 ), ! coll( Z, Y, Z ), midp( skol7( Y, T ), Y, T ) }.
% 35.35/35.77 substitution0:
% 35.35/35.77 X := X
% 35.35/35.77 Y := Y
% 35.35/35.77 Z := Z
% 35.35/35.77 T := T
% 35.35/35.77 end
% 35.35/35.77 permutation0:
% 35.35/35.77 0 ==> 0
% 35.35/35.77 1 ==> 1
% 35.35/35.77 2 ==> 2
% 35.35/35.77 3 ==> 3
% 35.35/35.77 end
% 35.35/35.77
% 35.35/35.77 resolution: (81835) {G1,W4,D2,L1,V0,M1} { coll( skol20, skol26, skol25 )
% 35.35/35.77 }.
% 35.35/35.77 parent0[0]: (69) {G0,W8,D2,L2,V3,M2} I { ! midp( X, Y, Z ), coll( X, Y, Z )
% 35.35/35.77 }.
% 35.35/35.77 parent1[0]: (116) {G0,W4,D2,L1,V0,M1} I { midp( skol20, skol26, skol25 )
% 35.35/35.77 }.
% 35.35/35.77 substitution0:
% 35.35/35.77 X := skol20
% 35.35/35.77 Y := skol26
% 35.35/35.77 Z := skol25
% 35.35/35.77 end
% 35.35/35.77 substitution1:
% 35.35/35.77 end
% 35.35/35.77
% 35.35/35.77 subsumption: (159) {G1,W4,D2,L1,V0,M1} R(69,116) { coll( skol20, skol26,
% 35.35/35.77 skol25 ) }.
% 35.35/35.77 parent0: (81835) {G1,W4,D2,L1,V0,M1} { coll( skol20, skol26, skol25 ) }.
% 35.35/35.77 substitution0:
% 35.35/35.77 end
% 35.35/35.77 permutation0:
% 35.35/35.77 0 ==> 0
% 35.35/35.77 end
% 35.35/35.77
% 35.35/35.77 resolution: (81836) {G1,W4,D2,L1,V0,M1} { coll( skol23, skol25, skol27 )
% 35.35/35.77 }.
% 35.35/35.77 parent0[0]: (69) {G0,W8,D2,L2,V3,M2} I { ! midp( X, Y, Z ), coll( X, Y, Z )
% 35.35/35.77 }.
% 35.35/35.77 parent1[0]: (118) {G0,W4,D2,L1,V0,M1} I { midp( skol23, skol25, skol27 )
% 35.35/35.77 }.
% 35.35/35.77 substitution0:
% 35.35/35.77 X := skol23
% 35.35/35.77 Y := skol25
% 35.35/35.77 Z := skol27
% 35.35/35.77 end
% 35.35/35.77 substitution1:
% 35.35/35.77 end
% 35.35/35.77
% 35.35/35.77 subsumption: (161) {G1,W4,D2,L1,V0,M1} R(69,118) { coll( skol23, skol25,
% 35.35/35.77 skol27 ) }.
% 35.35/35.77 parent0: (81836) {G1,W4,D2,L1,V0,M1} { coll( skol23, skol25, skol27 ) }.
% 35.35/35.77 substitution0:
% 35.35/35.77 end
% 35.35/35.77 permutation0:
% 35.35/35.77 0 ==> 0
% 35.35/35.77 end
% 35.35/35.77
% 35.35/35.77 resolution: (81837) {G1,W4,D2,L1,V0,M1} { coll( skol20, skol25, skol26 )
% 35.35/35.77 }.
% 35.35/35.77 parent0[0]: (0) {G0,W8,D2,L2,V3,M2} I { ! coll( X, Y, Z ), coll( X, Z, Y )
% 35.35/35.77 }.
% 35.35/35.77 parent1[0]: (159) {G1,W4,D2,L1,V0,M1} R(69,116) { coll( skol20, skol26,
% 35.35/35.77 skol25 ) }.
% 35.35/35.77 substitution0:
% 35.35/35.77 X := skol20
% 35.35/35.77 Y := skol26
% 35.35/35.77 Z := skol25
% 35.35/35.77 end
% 35.35/35.77 substitution1:
% 35.35/35.77 end
% 35.35/35.77
% 35.35/35.77 subsumption: (162) {G2,W4,D2,L1,V0,M1} R(159,0) { coll( skol20, skol25,
% 35.35/35.77 skol26 ) }.
% 35.35/35.77 parent0: (81837) {G1,W4,D2,L1,V0,M1} { coll( skol20, skol25, skol26 ) }.
% 35.35/35.77 substitution0:
% 35.35/35.77 end
% 35.35/35.77 permutation0:
% 35.35/35.77 0 ==> 0
% 35.35/35.77 end
% 35.35/35.77
% 35.35/35.77 resolution: (81838) {G1,W4,D2,L1,V0,M1} { coll( skol25, skol20, skol26 )
% 35.35/35.77 }.
% 35.35/35.77 parent0[0]: (1) {G0,W8,D2,L2,V3,M2} I { ! coll( X, Y, Z ), coll( Y, X, Z )
% 35.35/35.77 }.
% 35.35/35.77 parent1[0]: (162) {G2,W4,D2,L1,V0,M1} R(159,0) { coll( skol20, skol25,
% 35.35/35.77 skol26 ) }.
% 35.35/35.77 substitution0:
% 35.35/35.77 X := skol20
% 35.35/35.77 Y := skol25
% 35.35/35.77 Z := skol26
% 35.35/35.77 end
% 35.35/35.77 substitution1:
% 35.35/35.77 end
% 35.35/35.77
% 35.35/35.77 subsumption: (165) {G3,W4,D2,L1,V0,M1} R(1,162) { coll( skol25, skol20,
% 35.35/35.77 skol26 ) }.
% 35.35/35.77 parent0: (81838) {G1,W4,D2,L1,V0,M1} { coll( skol25, skol20, skol26 ) }.
% 35.35/35.77 substitution0:
% 35.35/35.77 end
% 35.35/35.77 permutation0:
% 35.35/35.77 0 ==> 0
% 35.35/35.77 end
% 35.35/35.77
% 35.35/35.77 resolution: (81839) {G1,W4,D2,L1,V0,M1} { coll( skol26, skol20, skol25 )
% 35.35/35.77 }.
% 35.35/35.77 parent0[0]: (1) {G0,W8,D2,L2,V3,M2} I { ! coll( X, Y, Z ), coll( Y, X, Z )
% 35.35/35.77 }.
% 35.35/35.77 parent1[0]: (159) {G1,W4,D2,L1,V0,M1} R(69,116) { coll( skol20, skol26,
% 35.35/35.77 skol25 ) }.
% 35.35/35.77 substitution0:
% 35.35/35.77 X := skol20
% 35.35/35.77 Y := skol26
% 35.35/35.77 Z := skol25
% 35.35/35.77 end
% 35.35/35.77 substitution1:
% 35.35/35.77 end
% 35.35/35.77
% 35.35/35.77 subsumption: (166) {G2,W4,D2,L1,V0,M1} R(1,159) { coll( skol26, skol20,
% 35.35/35.77 skol25 ) }.
% 35.35/35.77 parent0: (81839) {G1,W4,D2,L1,V0,M1} { coll( skol26, skol20, skol25 ) }.
% 35.35/35.77 substitution0:
% 35.35/35.77 end
% 35.35/35.77 permutation0:
% 35.35/35.77 0 ==> 0
% 35.35/35.77 end
% 35.35/35.77
% 35.35/35.77 resolution: (81843) {G1,W12,D2,L3,V4,M3} { coll( X, Z, Y ), ! coll( Z, T,
% 35.35/35.77 X ), ! coll( Z, T, Y ) }.
% 35.35/35.77 parent0[0]: (0) {G0,W8,D2,L2,V3,M2} I { ! coll( X, Y, Z ), coll( X, Z, Y )
% 35.35/35.77 }.
% 35.35/35.77 parent1[2]: (2) {G0,W12,D2,L3,V4,M3} I { ! coll( X, T, Y ), ! coll( X, T, Z
% 35.35/35.77 ), coll( Y, Z, X ) }.
% 35.35/35.77 substitution0:
% 35.35/35.77 X := X
% 35.35/35.77 Y := Y
% 35.35/35.77 Z := Z
% 35.35/35.77 end
% 35.35/35.77 substitution1:
% 35.35/35.77 X := Z
% 35.35/35.77 Y := X
% 35.35/35.77 Z := Y
% 35.35/35.77 T := T
% 35.35/35.77 end
% 35.35/35.77
% 35.35/35.77 subsumption: (195) {G1,W12,D2,L3,V4,M3} R(2,0) { ! coll( X, Y, Z ), ! coll
% 35.35/35.77 ( X, Y, T ), coll( Z, X, T ) }.
% 35.35/35.77 parent0: (81843) {G1,W12,D2,L3,V4,M3} { coll( X, Z, Y ), ! coll( Z, T, X )
% 35.35/35.77 , ! coll( Z, T, Y ) }.
% 35.35/35.77 substitution0:
% 35.35/35.77 X := Z
% 35.35/35.77 Y := T
% 35.35/35.77 Z := X
% 35.35/35.77 T := Y
% 35.35/35.77 end
% 35.35/35.77 permutation0:
% 35.35/35.77 0 ==> 2
% 35.35/35.77 1 ==> 0
% 35.35/35.77 2 ==> 1
% 35.35/35.77 end
% 35.35/35.77
% 35.35/35.77 factor: (81845) {G1,W8,D2,L2,V3,M2} { ! coll( X, Y, Z ), coll( Z, X, Z )
% 35.35/35.77 }.
% 35.35/35.77 parent0[0, 1]: (195) {G1,W12,D2,L3,V4,M3} R(2,0) { ! coll( X, Y, Z ), !
% 35.35/35.77 coll( X, Y, T ), coll( Z, X, T ) }.
% 35.35/35.77 substitution0:
% 35.35/35.77 X := X
% 35.35/35.77 Y := Y
% 35.35/35.77 Z := Z
% 35.35/35.77 T := Z
% 35.35/35.77 end
% 35.35/35.77
% 35.35/35.77 subsumption: (196) {G2,W8,D2,L2,V3,M2} F(195) { ! coll( X, Y, Z ), coll( Z
% 35.35/35.77 , X, Z ) }.
% 35.35/35.77 parent0: (81845) {G1,W8,D2,L2,V3,M2} { ! coll( X, Y, Z ), coll( Z, X, Z )
% 35.35/35.77 }.
% 35.35/35.77 substitution0:
% 35.35/35.77 X := X
% 35.35/35.77 Y := Y
% 35.35/35.77 Z := Z
% 35.35/35.77 end
% 35.35/35.77 permutation0:
% 35.35/35.77 0 ==> 0
% 35.35/35.77 1 ==> 1
% 35.35/35.77 end
% 35.35/35.77
% 35.35/35.77 resolution: (81846) {G1,W4,D2,L1,V0,M1} { coll( skol25, skol23, skol27 )
% 35.35/35.77 }.
% 35.35/35.77 parent0[0]: (1) {G0,W8,D2,L2,V3,M2} I { ! coll( X, Y, Z ), coll( Y, X, Z )
% 35.35/35.77 }.
% 35.35/35.77 parent1[0]: (161) {G1,W4,D2,L1,V0,M1} R(69,118) { coll( skol23, skol25,
% 35.35/35.77 skol27 ) }.
% 35.35/35.77 substitution0:
% 35.35/35.77 X := skol23
% 35.35/35.77 Y := skol25
% 35.35/35.77 Z := skol27
% 35.35/35.77 end
% 35.35/35.77 substitution1:
% 35.35/35.77 end
% 35.35/35.77
% 35.35/35.77 subsumption: (213) {G2,W4,D2,L1,V0,M1} R(161,1) { coll( skol25, skol23,
% 35.35/35.77 skol27 ) }.
% 35.35/35.77 parent0: (81846) {G1,W4,D2,L1,V0,M1} { coll( skol25, skol23, skol27 ) }.
% 35.35/35.77 substitution0:
% 35.35/35.77 end
% 35.35/35.77 permutation0:
% 35.35/35.77 0 ==> 0
% 35.35/35.77 end
% 35.35/35.77
% 35.35/35.77 resolution: (81847) {G1,W4,D2,L1,V0,M1} { coll( skol25, skol27, skol23 )
% 35.35/35.77 }.
% 35.35/35.77 parent0[0]: (0) {G0,W8,D2,L2,V3,M2} I { ! coll( X, Y, Z ), coll( X, Z, Y )
% 35.35/35.77 }.
% 35.35/35.77 parent1[0]: (213) {G2,W4,D2,L1,V0,M1} R(161,1) { coll( skol25, skol23,
% 35.35/35.77 skol27 ) }.
% 35.35/35.77 substitution0:
% 35.35/35.77 X := skol25
% 35.35/35.77 Y := skol23
% 35.35/35.77 Z := skol27
% 35.35/35.77 end
% 35.35/35.77 substitution1:
% 35.35/35.77 end
% 35.35/35.77
% 35.35/35.77 subsumption: (217) {G3,W4,D2,L1,V0,M1} R(213,0) { coll( skol25, skol27,
% 35.35/35.77 skol23 ) }.
% 35.35/35.77 parent0: (81847) {G1,W4,D2,L1,V0,M1} { coll( skol25, skol27, skol23 ) }.
% 35.35/35.77 substitution0:
% 35.35/35.77 end
% 35.35/35.77 permutation0:
% 35.35/35.77 0 ==> 0
% 35.35/35.77 end
% 35.35/35.77
% 35.35/35.77 resolution: (81848) {G1,W4,D2,L1,V0,M1} { coll( skol27, skol25, skol23 )
% 35.35/35.77 }.
% 35.35/35.77 parent0[0]: (1) {G0,W8,D2,L2,V3,M2} I { ! coll( X, Y, Z ), coll( Y, X, Z )
% 35.35/35.77 }.
% 35.35/35.77 parent1[0]: (217) {G3,W4,D2,L1,V0,M1} R(213,0) { coll( skol25, skol27,
% 35.35/35.77 skol23 ) }.
% 35.35/35.77 substitution0:
% 35.35/35.77 X := skol25
% 35.35/35.77 Y := skol27
% 35.35/35.77 Z := skol23
% 35.35/35.77 end
% 35.35/35.77 substitution1:
% 35.35/35.77 end
% 35.35/35.77
% 35.35/35.77 subsumption: (220) {G4,W4,D2,L1,V0,M1} R(217,1) { coll( skol27, skol25,
% 35.35/35.77 skol23 ) }.
% 35.35/35.77 parent0: (81848) {G1,W4,D2,L1,V0,M1} { coll( skol27, skol25, skol23 ) }.
% 35.35/35.77 substitution0:
% 35.35/35.77 end
% 35.35/35.77 permutation0:
% 35.35/35.77 0 ==> 0
% 35.35/35.77 end
% 35.35/35.77
% 35.35/35.77 resolution: (81850) {G1,W10,D2,L2,V4,M2} { para( X, Y, T, Z ), ! para( Z,
% 35.35/35.77 T, X, Y ) }.
% 35.35/35.77 parent0[0]: (3) {G0,W10,D2,L2,V4,M2} I { ! para( X, Y, Z, T ), para( X, Y,
% 35.35/35.77 T, Z ) }.
% 35.35/35.77 parent1[1]: (4) {G0,W10,D2,L2,V4,M2} I { ! para( X, Y, Z, T ), para( Z, T,
% 35.35/35.77 X, Y ) }.
% 35.35/35.77 substitution0:
% 35.35/35.77 X := X
% 35.35/35.77 Y := Y
% 35.35/35.77 Z := Z
% 35.35/35.77 T := T
% 35.35/35.77 end
% 35.35/35.77 substitution1:
% 35.35/35.77 X := Z
% 35.35/35.77 Y := T
% 35.35/35.77 Z := X
% 35.35/35.77 T := Y
% 35.35/35.77 end
% 35.35/35.77
% 35.35/35.77 subsumption: (222) {G1,W10,D2,L2,V4,M2} R(4,3) { ! para( X, Y, Z, T ), para
% 35.35/35.77 ( Z, T, Y, X ) }.
% 35.35/35.77 parent0: (81850) {G1,W10,D2,L2,V4,M2} { para( X, Y, T, Z ), ! para( Z, T,
% 35.35/35.77 X, Y ) }.
% 35.35/35.77 substitution0:
% 35.35/35.77 X := Z
% 35.35/35.77 Y := T
% 35.35/35.77 Z := X
% 35.35/35.77 T := Y
% 35.35/35.77 end
% 35.35/35.77 permutation0:
% 35.35/35.77 0 ==> 1
% 35.35/35.77 1 ==> 0
% 35.35/35.77 end
% 35.35/35.77
% 35.35/35.77 resolution: (81851) {G1,W4,D2,L1,V0,M1} { coll( skol27, skol23, skol25 )
% 35.35/35.77 }.
% 35.35/35.77 parent0[0]: (0) {G0,W8,D2,L2,V3,M2} I { ! coll( X, Y, Z ), coll( X, Z, Y )
% 35.35/35.77 }.
% 35.35/35.77 parent1[0]: (220) {G4,W4,D2,L1,V0,M1} R(217,1) { coll( skol27, skol25,
% 35.35/35.77 skol23 ) }.
% 35.35/35.77 substitution0:
% 35.35/35.77 X := skol27
% 35.35/35.77 Y := skol25
% 35.35/35.77 Z := skol23
% 35.35/35.77 end
% 35.35/35.77 substitution1:
% 35.35/35.77 end
% 35.35/35.77
% 35.35/35.77 subsumption: (225) {G5,W4,D2,L1,V0,M1} R(220,0) { coll( skol27, skol23,
% 35.35/35.77 skol25 ) }.
% 35.35/35.77 parent0: (81851) {G1,W4,D2,L1,V0,M1} { coll( skol27, skol23, skol25 ) }.
% 35.35/35.77 substitution0:
% 35.35/35.77 end
% 35.35/35.77 permutation0:
% 35.35/35.77 0 ==> 0
% 35.35/35.77 end
% 35.35/35.77
% 35.35/35.77 resolution: (81852) {G3,W4,D2,L1,V0,M1} { coll( skol25, skol27, skol25 )
% 35.35/35.77 }.
% 35.35/35.77 parent0[0]: (196) {G2,W8,D2,L2,V3,M2} F(195) { ! coll( X, Y, Z ), coll( Z,
% 35.35/35.77 X, Z ) }.
% 35.35/35.77 parent1[0]: (225) {G5,W4,D2,L1,V0,M1} R(220,0) { coll( skol27, skol23,
% 35.35/35.77 skol25 ) }.
% 35.35/35.77 substitution0:
% 35.35/35.77 X := skol27
% 35.35/35.77 Y := skol23
% 35.35/35.77 Z := skol25
% 35.35/35.77 end
% 35.35/35.77 substitution1:
% 35.35/35.77 end
% 35.35/35.77
% 35.35/35.77 subsumption: (232) {G6,W4,D2,L1,V0,M1} R(196,225) { coll( skol25, skol27,
% 35.35/35.77 skol25 ) }.
% 35.35/35.77 parent0: (81852) {G3,W4,D2,L1,V0,M1} { coll( skol25, skol27, skol25 ) }.
% 35.35/35.77 substitution0:
% 35.35/35.77 end
% 35.35/35.77 permutation0:
% 35.35/35.77 0 ==> 0
% 35.35/35.77 end
% 35.35/35.77
% 35.35/35.77 resolution: (81853) {G3,W4,D2,L1,V0,M1} { coll( skol27, skol25, skol27 )
% 35.35/35.77 }.
% 35.35/35.77 parent0[0]: (196) {G2,W8,D2,L2,V3,M2} F(195) { ! coll( X, Y, Z ), coll( Z,
% 35.35/35.77 X, Z ) }.
% 35.35/35.77 parent1[0]: (213) {G2,W4,D2,L1,V0,M1} R(161,1) { coll( skol25, skol23,
% 35.35/35.77 skol27 ) }.
% 35.35/35.77 substitution0:
% 35.35/35.77 X := skol25
% 35.35/35.77 Y := skol23
% 35.35/35.77 Z := skol27
% 35.35/35.77 end
% 35.35/35.77 substitution1:
% 35.35/35.77 end
% 35.35/35.77
% 35.35/35.77 subsumption: (235) {G3,W4,D2,L1,V0,M1} R(196,213) { coll( skol27, skol25,
% 35.35/35.77 skol27 ) }.
% 35.35/35.77 parent0: (81853) {G3,W4,D2,L1,V0,M1} { coll( skol27, skol25, skol27 ) }.
% 35.35/35.77 substitution0:
% 35.35/35.77 end
% 35.35/35.77 permutation0:
% 35.35/35.77 0 ==> 0
% 35.35/35.77 end
% 35.35/35.77
% 35.35/35.77 resolution: (81854) {G3,W4,D2,L1,V0,M1} { coll( skol25, skol26, skol25 )
% 35.35/35.77 }.
% 35.35/35.77 parent0[0]: (196) {G2,W8,D2,L2,V3,M2} F(195) { ! coll( X, Y, Z ), coll( Z,
% 35.35/35.77 X, Z ) }.
% 35.35/35.77 parent1[0]: (166) {G2,W4,D2,L1,V0,M1} R(1,159) { coll( skol26, skol20,
% 35.35/35.77 skol25 ) }.
% 35.35/35.77 substitution0:
% 35.35/35.77 X := skol26
% 35.35/35.77 Y := skol20
% 35.35/35.77 Z := skol25
% 35.35/35.77 end
% 35.35/35.77 substitution1:
% 35.35/35.77 end
% 35.35/35.77
% 35.35/35.77 subsumption: (238) {G3,W4,D2,L1,V0,M1} R(196,166) { coll( skol25, skol26,
% 35.35/35.77 skol25 ) }.
% 35.35/35.77 parent0: (81854) {G3,W4,D2,L1,V0,M1} { coll( skol25, skol26, skol25 ) }.
% 35.35/35.77 substitution0:
% 35.35/35.77 end
% 35.35/35.77 permutation0:
% 35.35/35.77 0 ==> 0
% 35.35/35.77 end
% 35.35/35.77
% 35.35/35.77 resolution: (81855) {G3,W4,D2,L1,V0,M1} { coll( skol26, skol25, skol26 )
% 35.35/35.77 }.
% 35.35/35.77 parent0[0]: (196) {G2,W8,D2,L2,V3,M2} F(195) { ! coll( X, Y, Z ), coll( Z,
% 35.35/35.77 X, Z ) }.
% 35.35/35.77 parent1[0]: (165) {G3,W4,D2,L1,V0,M1} R(1,162) { coll( skol25, skol20,
% 35.35/35.77 skol26 ) }.
% 35.35/35.77 substitution0:
% 35.35/35.77 X := skol25
% 35.35/35.77 Y := skol20
% 35.35/35.77 Z := skol26
% 35.35/35.77 end
% 35.35/35.77 substitution1:
% 35.35/35.77 end
% 35.35/35.77
% 35.35/35.77 subsumption: (241) {G4,W4,D2,L1,V0,M1} R(196,165) { coll( skol26, skol25,
% 35.35/35.77 skol26 ) }.
% 35.35/35.77 parent0: (81855) {G3,W4,D2,L1,V0,M1} { coll( skol26, skol25, skol26 ) }.
% 35.35/35.77 substitution0:
% 35.35/35.77 end
% 35.35/35.77 permutation0:
% 35.35/35.77 0 ==> 0
% 35.35/35.77 end
% 35.35/35.77
% 35.35/35.77 resolution: (81856) {G1,W12,D2,L3,V4,M3} { coll( Z, X, Z ), ! coll( Z, T,
% 35.35/35.77 X ), ! coll( Z, T, Y ) }.
% 35.35/35.77 parent0[0]: (196) {G2,W8,D2,L2,V3,M2} F(195) { ! coll( X, Y, Z ), coll( Z,
% 35.35/35.77 X, Z ) }.
% 35.35/35.77 parent1[2]: (2) {G0,W12,D2,L3,V4,M3} I { ! coll( X, T, Y ), ! coll( X, T, Z
% 35.35/35.77 ), coll( Y, Z, X ) }.
% 35.35/35.77 substitution0:
% 35.35/35.77 X := X
% 35.35/35.77 Y := Y
% 35.35/35.77 Z := Z
% 35.35/35.77 end
% 35.35/35.77 substitution1:
% 35.35/35.77 X := Z
% 35.35/35.77 Y := X
% 35.35/35.77 Z := Y
% 35.35/35.77 T := T
% 35.35/35.77 end
% 35.35/35.77
% 35.35/35.77 subsumption: (242) {G3,W12,D2,L3,V4,M3} R(196,2) { coll( X, Y, X ), ! coll
% 35.35/35.77 ( X, Z, Y ), ! coll( X, Z, T ) }.
% 35.35/35.77 parent0: (81856) {G1,W12,D2,L3,V4,M3} { coll( Z, X, Z ), ! coll( Z, T, X )
% 35.35/35.77 , ! coll( Z, T, Y ) }.
% 35.35/35.77 substitution0:
% 35.35/35.77 X := Y
% 35.35/35.77 Y := Y
% 35.35/35.77 Z := X
% 35.35/35.77 T := Z
% 35.35/35.77 end
% 35.35/35.77 permutation0:
% 35.35/35.77 0 ==> 0
% 35.35/35.77 1 ==> 1
% 35.35/35.77 2 ==> 1
% 35.35/35.77 end
% 35.35/35.77
% 35.35/35.77 factor: (81858) {G3,W8,D2,L2,V3,M2} { coll( X, Y, X ), ! coll( X, Z, Y )
% 35.35/35.77 }.
% 35.35/35.77 parent0[1, 2]: (242) {G3,W12,D2,L3,V4,M3} R(196,2) { coll( X, Y, X ), !
% 35.35/35.77 coll( X, Z, Y ), ! coll( X, Z, T ) }.
% 35.35/35.77 substitution0:
% 35.35/35.77 X := X
% 35.35/35.77 Y := Y
% 35.35/35.77 Z := Z
% 35.35/35.77 T := Y
% 35.35/35.77 end
% 35.35/35.77
% 35.35/35.77 subsumption: (255) {G4,W8,D2,L2,V3,M2} F(242) { coll( X, Y, X ), ! coll( X
% 35.35/35.77 , Z, Y ) }.
% 35.35/35.77 parent0: (81858) {G3,W8,D2,L2,V3,M2} { coll( X, Y, X ), ! coll( X, Z, Y )
% 35.35/35.77 }.
% 35.35/35.77 substitution0:
% 35.35/35.77 X := X
% 35.35/35.77 Y := Y
% 35.35/35.77 Z := Z
% 35.35/35.77 end
% 35.35/35.77 permutation0:
% 35.35/35.77 0 ==> 0
% 35.35/35.77 1 ==> 1
% 35.35/35.77 end
% 35.35/35.77
% 35.35/35.77 resolution: (81860) {G1,W10,D2,L2,V4,M2} { perp( X, Y, T, Z ), ! perp( Z,
% 35.35/35.77 T, X, Y ) }.
% 35.35/35.77 parent0[0]: (6) {G0,W10,D2,L2,V4,M2} I { ! perp( X, Y, Z, T ), perp( X, Y,
% 35.35/35.77 T, Z ) }.
% 35.35/35.77 parent1[1]: (7) {G0,W10,D2,L2,V4,M2} I { ! perp( X, Y, Z, T ), perp( Z, T,
% 35.35/35.77 X, Y ) }.
% 35.35/35.77 substitution0:
% 35.35/35.77 X := X
% 35.35/35.77 Y := Y
% 35.35/35.77 Z := Z
% 35.35/35.77 T := T
% 35.35/35.77 end
% 35.35/35.77 substitution1:
% 35.35/35.77 X := Z
% 35.35/35.77 Y := T
% 35.35/35.77 Z := X
% 35.35/35.77 T := Y
% 35.35/35.77 end
% 35.35/35.77
% 35.35/35.77 subsumption: (283) {G1,W10,D2,L2,V4,M2} R(7,6) { ! perp( X, Y, Z, T ), perp
% 35.35/35.77 ( Z, T, Y, X ) }.
% 35.35/35.77 parent0: (81860) {G1,W10,D2,L2,V4,M2} { perp( X, Y, T, Z ), ! perp( Z, T,
% 35.35/35.77 X, Y ) }.
% 35.35/35.77 substitution0:
% 35.35/35.77 X := Z
% 35.35/35.77 Y := T
% 35.35/35.77 Z := X
% 35.35/35.77 T := Y
% 35.35/35.77 end
% 35.35/35.77 permutation0:
% 35.35/35.77 0 ==> 1
% 35.35/35.77 1 ==> 0
% 35.35/35.77 end
% 35.35/35.77
% 35.35/35.77 resolution: (81861) {G1,W5,D2,L1,V0,M1} { ! perp( skol22, skol23, skol24,
% 35.35/35.77 skol20 ) }.
% 35.35/35.77 parent0[0]: (120) {G0,W5,D2,L1,V0,M1} I { ! perp( skol24, skol20, skol22,
% 35.35/35.77 skol23 ) }.
% 35.35/35.77 parent1[1]: (7) {G0,W10,D2,L2,V4,M2} I { ! perp( X, Y, Z, T ), perp( Z, T,
% 35.35/35.77 X, Y ) }.
% 35.35/35.77 substitution0:
% 35.35/35.77 end
% 35.35/35.77 substitution1:
% 35.35/35.77 X := skol22
% 35.35/35.77 Y := skol23
% 35.35/35.77 Z := skol24
% 35.35/35.77 T := skol20
% 35.35/35.77 end
% 35.35/35.77
% 35.35/35.77 subsumption: (284) {G1,W5,D2,L1,V0,M1} R(7,120) { ! perp( skol22, skol23,
% 35.35/35.77 skol24, skol20 ) }.
% 35.35/35.77 parent0: (81861) {G1,W5,D2,L1,V0,M1} { ! perp( skol22, skol23, skol24,
% 35.35/35.77 skol20 ) }.
% 35.35/35.77 substitution0:
% 35.35/35.77 end
% 35.35/35.77 permutation0:
% 35.35/35.77 0 ==> 0
% 35.35/35.77 end
% 35.35/35.77
% 35.35/35.77 resolution: (81862) {G1,W15,D2,L3,V6,M3} { para( Z, T, X, Y ), ! perp( X,
% 35.35/35.77 Y, U, W ), ! perp( U, W, Z, T ) }.
% 35.35/35.77 parent0[0]: (4) {G0,W10,D2,L2,V4,M2} I { ! para( X, Y, Z, T ), para( Z, T,
% 35.35/35.77 X, Y ) }.
% 35.35/35.77 parent1[2]: (8) {G0,W15,D2,L3,V6,M3} I { ! perp( X, Y, U, W ), ! perp( U, W
% 35.35/35.77 , Z, T ), para( X, Y, Z, T ) }.
% 35.35/35.77 substitution0:
% 35.35/35.77 X := X
% 35.35/35.77 Y := Y
% 35.35/35.77 Z := Z
% 35.35/35.77 T := T
% 35.35/35.77 end
% 35.35/35.77 substitution1:
% 35.35/35.77 X := X
% 35.35/35.77 Y := Y
% 35.35/35.77 Z := Z
% 35.35/35.77 T := T
% 35.35/35.77 U := U
% 35.35/35.77 W := W
% 35.35/35.77 end
% 35.35/35.77
% 35.35/35.77 subsumption: (297) {G1,W15,D2,L3,V6,M3} R(8,4) { ! perp( X, Y, Z, T ), !
% 35.35/35.77 perp( Z, T, U, W ), para( U, W, X, Y ) }.
% 35.35/35.77 parent0: (81862) {G1,W15,D2,L3,V6,M3} { para( Z, T, X, Y ), ! perp( X, Y,
% 35.35/35.77 U, W ), ! perp( U, W, Z, T ) }.
% 35.35/35.77 substitution0:
% 35.35/35.77 X := X
% 35.35/35.77 Y := Y
% 35.35/35.77 Z := U
% 35.35/35.77 T := W
% 35.35/35.77 U := Z
% 35.35/35.77 W := T
% 35.35/35.77 end
% 35.35/35.77 permutation0:
% 35.35/35.77 0 ==> 2
% 35.35/35.77 1 ==> 0
% 35.35/35.77 2 ==> 1
% 35.35/35.77 end
% 35.35/35.77
% 35.35/35.77 resolution: (81864) {G1,W4,D2,L1,V0,M1} { coll( skol27, skol27, skol25 )
% 35.35/35.77 }.
% 35.35/35.77 parent0[0]: (0) {G0,W8,D2,L2,V3,M2} I { ! coll( X, Y, Z ), coll( X, Z, Y )
% 35.35/35.77 }.
% 35.35/35.77 parent1[0]: (235) {G3,W4,D2,L1,V0,M1} R(196,213) { coll( skol27, skol25,
% 35.35/35.77 skol27 ) }.
% 35.35/35.77 substitution0:
% 35.35/35.77 X := skol27
% 35.35/35.77 Y := skol25
% 35.35/35.77 Z := skol27
% 35.35/35.77 end
% 35.35/35.77 substitution1:
% 35.35/35.77 end
% 35.35/35.77
% 35.35/35.77 subsumption: (308) {G4,W4,D2,L1,V0,M1} R(235,0) { coll( skol27, skol27,
% 35.35/35.77 skol25 ) }.
% 35.35/35.77 parent0: (81864) {G1,W4,D2,L1,V0,M1} { coll( skol27, skol27, skol25 ) }.
% 35.35/35.77 substitution0:
% 35.35/35.77 end
% 35.35/35.77 permutation0:
% 35.35/35.77 0 ==> 0
% 35.35/35.77 end
% 35.35/35.77
% 35.35/35.77 resolution: (81871) {G1,W20,D2,L4,V8,M4} { ! perp( X, Y, Z, T ), para( X,
% 35.35/35.77 Y, U, W ), ! para( Z, T, V0, V1 ), ! perp( V0, V1, U, W ) }.
% 35.35/35.77 parent0[1]: (8) {G0,W15,D2,L3,V6,M3} I { ! perp( X, Y, U, W ), ! perp( U, W
% 35.35/35.77 , Z, T ), para( X, Y, Z, T ) }.
% 35.35/35.77 parent1[2]: (9) {G0,W15,D2,L3,V6,M3} I { ! para( X, Y, U, W ), ! perp( U, W
% 35.35/35.77 , Z, T ), perp( X, Y, Z, T ) }.
% 35.35/35.77 substitution0:
% 35.35/35.77 X := X
% 35.35/35.77 Y := Y
% 35.35/35.77 Z := U
% 35.35/35.77 T := W
% 35.35/35.77 U := Z
% 35.35/35.77 W := T
% 35.35/35.77 end
% 35.35/35.77 substitution1:
% 35.35/35.77 X := Z
% 35.35/35.77 Y := T
% 35.35/35.77 Z := U
% 35.35/35.77 T := W
% 35.35/35.77 U := V0
% 35.35/35.77 W := V1
% 35.35/35.77 end
% 35.35/35.77
% 35.35/35.77 subsumption: (311) {G1,W20,D2,L4,V8,M4} R(9,8) { ! para( X, Y, Z, T ), !
% 35.35/35.77 perp( Z, T, U, W ), ! perp( V0, V1, X, Y ), para( V0, V1, U, W ) }.
% 35.35/35.77 parent0: (81871) {G1,W20,D2,L4,V8,M4} { ! perp( X, Y, Z, T ), para( X, Y,
% 35.35/35.77 U, W ), ! para( Z, T, V0, V1 ), ! perp( V0, V1, U, W ) }.
% 35.35/35.77 substitution0:
% 35.35/35.77 X := V0
% 35.35/35.77 Y := V1
% 35.35/35.77 Z := X
% 35.35/35.77 T := Y
% 35.35/35.77 U := U
% 35.35/35.77 W := W
% 35.35/35.77 V0 := Z
% 35.35/35.77 V1 := T
% 35.35/35.77 end
% 35.35/35.77 permutation0:
% 35.35/35.77 0 ==> 2
% 35.35/35.77 1 ==> 3
% 35.35/35.77 2 ==> 0
% 35.35/35.77 3 ==> 1
% 35.35/35.77 end
% 35.35/35.77
% 35.35/35.77 resolution: (81874) {G1,W15,D2,L3,V6,M3} { ! para( X, Y, Z, T ), perp( X,
% 35.35/35.77 Y, U, W ), ! perp( U, W, Z, T ) }.
% 35.35/35.77 parent0[1]: (9) {G0,W15,D2,L3,V6,M3} I { ! para( X, Y, U, W ), ! perp( U, W
% 35.35/35.77 , Z, T ), perp( X, Y, Z, T ) }.
% 35.35/35.77 parent1[1]: (7) {G0,W10,D2,L2,V4,M2} I { ! perp( X, Y, Z, T ), perp( Z, T,
% 35.35/35.77 X, Y ) }.
% 35.35/35.77 substitution0:
% 35.35/35.77 X := X
% 35.35/35.77 Y := Y
% 35.35/35.77 Z := U
% 35.35/35.77 T := W
% 35.35/35.77 U := Z
% 35.35/35.77 W := T
% 35.35/35.77 end
% 35.35/35.77 substitution1:
% 35.35/35.77 X := U
% 35.35/35.77 Y := W
% 35.35/35.77 Z := Z
% 35.35/35.77 T := T
% 35.35/35.77 end
% 35.35/35.77
% 35.35/35.77 subsumption: (312) {G1,W15,D2,L3,V6,M3} R(9,7) { ! para( X, Y, Z, T ), perp
% 35.35/35.77 ( X, Y, U, W ), ! perp( U, W, Z, T ) }.
% 35.35/35.77 parent0: (81874) {G1,W15,D2,L3,V6,M3} { ! para( X, Y, Z, T ), perp( X, Y,
% 35.35/35.77 U, W ), ! perp( U, W, Z, T ) }.
% 35.35/35.77 substitution0:
% 35.35/35.77 X := X
% 35.35/35.77 Y := Y
% 35.35/35.77 Z := Z
% 35.35/35.77 T := T
% 35.35/35.77 U := U
% 35.35/35.77 W := W
% 35.35/35.77 end
% 35.35/35.77 permutation0:
% 35.35/35.77 0 ==> 0
% 35.35/35.77 1 ==> 1
% 35.35/35.77 2 ==> 2
% 35.35/35.77 end
% 35.35/35.77
% 35.35/35.77 resolution: (81875) {G1,W4,D2,L1,V0,M1} { midp( skol22, skol27, skol26 )
% 35.35/35.77 }.
% 35.35/35.77 parent0[0]: (10) {G0,W8,D2,L2,V3,M2} I { ! midp( Z, Y, X ), midp( Z, X, Y )
% 35.35/35.77 }.
% 35.35/35.77 parent1[0]: (117) {G0,W4,D2,L1,V0,M1} I { midp( skol22, skol26, skol27 )
% 35.35/35.77 }.
% 35.35/35.77 substitution0:
% 35.35/35.77 X := skol27
% 35.35/35.77 Y := skol26
% 35.35/35.77 Z := skol22
% 35.35/35.77 end
% 35.35/35.77 substitution1:
% 35.35/35.77 end
% 35.35/35.77
% 35.35/35.77 subsumption: (326) {G1,W4,D2,L1,V0,M1} R(10,117) { midp( skol22, skol27,
% 35.35/35.77 skol26 ) }.
% 35.35/35.77 parent0: (81875) {G1,W4,D2,L1,V0,M1} { midp( skol22, skol27, skol26 ) }.
% 35.35/35.77 substitution0:
% 35.35/35.77 end
% 35.35/35.77 permutation0:
% 35.35/35.77 0 ==> 0
% 35.35/35.77 end
% 35.35/35.77
% 35.35/35.77 resolution: (81876) {G1,W4,D2,L1,V0,M1} { midp( skol23, skol27, skol25 )
% 35.35/35.77 }.
% 35.35/35.77 parent0[0]: (10) {G0,W8,D2,L2,V3,M2} I { ! midp( Z, Y, X ), midp( Z, X, Y )
% 35.35/35.77 }.
% 35.35/35.77 parent1[0]: (118) {G0,W4,D2,L1,V0,M1} I { midp( skol23, skol25, skol27 )
% 35.35/35.77 }.
% 35.35/35.77 substitution0:
% 35.35/35.77 X := skol27
% 35.35/35.77 Y := skol25
% 35.35/35.77 Z := skol23
% 35.35/35.77 end
% 35.35/35.77 substitution1:
% 35.35/35.77 end
% 35.35/35.77
% 35.35/35.77 subsumption: (327) {G1,W4,D2,L1,V0,M1} R(10,118) { midp( skol23, skol27,
% 35.35/35.77 skol25 ) }.
% 35.35/35.77 parent0: (81876) {G1,W4,D2,L1,V0,M1} { midp( skol23, skol27, skol25 ) }.
% 35.35/35.77 substitution0:
% 35.35/35.77 end
% 35.35/35.77 permutation0:
% 35.35/35.77 0 ==> 0
% 35.35/35.77 end
% 35.35/35.77
% 35.35/35.77 resolution: (81877) {G1,W4,D2,L1,V0,M1} { coll( skol26, skol26, skol25 )
% 35.35/35.77 }.
% 35.35/35.77 parent0[0]: (0) {G0,W8,D2,L2,V3,M2} I { ! coll( X, Y, Z ), coll( X, Z, Y )
% 35.35/35.77 }.
% 35.35/35.77 parent1[0]: (241) {G4,W4,D2,L1,V0,M1} R(196,165) { coll( skol26, skol25,
% 35.35/35.77 skol26 ) }.
% 35.35/35.77 substitution0:
% 35.35/35.77 X := skol26
% 35.35/35.77 Y := skol25
% 35.35/35.77 Z := skol26
% 35.35/35.77 end
% 35.35/35.77 substitution1:
% 35.35/35.77 end
% 35.35/35.77
% 35.35/35.77 subsumption: (360) {G5,W4,D2,L1,V0,M1} R(241,0) { coll( skol26, skol26,
% 35.35/35.77 skol25 ) }.
% 35.35/35.77 parent0: (81877) {G1,W4,D2,L1,V0,M1} { coll( skol26, skol26, skol25 ) }.
% 35.35/35.77 substitution0:
% 35.35/35.77 end
% 35.35/35.77 permutation0:
% 35.35/35.77 0 ==> 0
% 35.35/35.77 end
% 35.35/35.77
% 35.35/35.77 resolution: (81878) {G1,W10,D2,L2,V4,M2} { cyclic( Y, X, Z, T ), ! cyclic
% 35.35/35.77 ( X, Z, Y, T ) }.
% 35.35/35.77 parent0[0]: (15) {G0,W10,D2,L2,V4,M2} I { ! cyclic( X, Y, Z, T ), cyclic( Y
% 35.35/35.77 , X, Z, T ) }.
% 35.35/35.77 parent1[1]: (14) {G0,W10,D2,L2,V4,M2} I { ! cyclic( X, Y, Z, T ), cyclic( X
% 35.35/35.77 , Z, Y, T ) }.
% 35.35/35.77 substitution0:
% 35.35/35.77 X := X
% 35.35/35.77 Y := Y
% 35.35/35.77 Z := Z
% 35.35/35.77 T := T
% 35.35/35.77 end
% 35.35/35.77 substitution1:
% 35.35/35.77 X := X
% 35.35/35.77 Y := Z
% 35.35/35.77 Z := Y
% 35.35/35.77 T := T
% 35.35/35.77 end
% 35.35/35.77
% 35.35/35.77 subsumption: (362) {G1,W10,D2,L2,V4,M2} R(15,14) { cyclic( X, Y, Z, T ), !
% 35.35/35.77 cyclic( Y, Z, X, T ) }.
% 35.35/35.77 parent0: (81878) {G1,W10,D2,L2,V4,M2} { cyclic( Y, X, Z, T ), ! cyclic( X
% 35.35/35.77 , Z, Y, T ) }.
% 35.35/35.77 substitution0:
% 35.35/35.77 X := Y
% 35.35/35.77 Y := X
% 35.35/35.77 Z := Z
% 35.35/35.77 T := T
% 35.35/35.77 end
% 35.35/35.77 permutation0:
% 35.35/35.77 0 ==> 0
% 35.35/35.77 1 ==> 1
% 35.35/35.77 end
% 35.35/35.77
% 35.35/35.77 resolution: (81880) {G1,W10,D2,L2,V4,M2} { cyclic( X, Z, Y, T ), ! cyclic
% 35.35/35.77 ( Y, X, Z, T ) }.
% 35.35/35.77 parent0[0]: (14) {G0,W10,D2,L2,V4,M2} I { ! cyclic( X, Y, Z, T ), cyclic( X
% 35.35/35.77 , Z, Y, T ) }.
% 35.35/35.77 parent1[1]: (15) {G0,W10,D2,L2,V4,M2} I { ! cyclic( X, Y, Z, T ), cyclic( Y
% 35.35/35.77 , X, Z, T ) }.
% 35.35/35.77 substitution0:
% 35.35/35.77 X := X
% 35.35/35.77 Y := Y
% 35.35/35.77 Z := Z
% 35.35/35.77 T := T
% 35.35/35.77 end
% 35.35/35.77 substitution1:
% 35.35/35.77 X := Y
% 35.35/35.77 Y := X
% 35.35/35.77 Z := Z
% 35.35/35.77 T := T
% 35.35/35.77 end
% 35.35/35.77
% 35.35/35.77 subsumption: (363) {G1,W10,D2,L2,V4,M2} R(15,14) { ! cyclic( X, Y, Z, T ),
% 35.35/35.77 cyclic( Y, Z, X, T ) }.
% 35.35/35.77 parent0: (81880) {G1,W10,D2,L2,V4,M2} { cyclic( X, Z, Y, T ), ! cyclic( Y
% 35.35/35.77 , X, Z, T ) }.
% 35.35/35.77 substitution0:
% 35.35/35.77 X := Y
% 35.35/35.77 Y := X
% 35.35/35.77 Z := Z
% 35.35/35.77 T := T
% 35.35/35.77 end
% 35.35/35.77 permutation0:
% 35.35/35.77 0 ==> 1
% 35.35/35.77 1 ==> 0
% 35.35/35.77 end
% 35.35/35.77
% 35.35/35.77 resolution: (81881) {G1,W5,D2,L1,V0,M1} { ! perp( skol22, skol23, skol20,
% 35.35/35.77 skol24 ) }.
% 35.35/35.77 parent0[0]: (284) {G1,W5,D2,L1,V0,M1} R(7,120) { ! perp( skol22, skol23,
% 35.35/35.77 skol24, skol20 ) }.
% 35.35/35.77 parent1[1]: (6) {G0,W10,D2,L2,V4,M2} I { ! perp( X, Y, Z, T ), perp( X, Y,
% 35.35/35.77 T, Z ) }.
% 35.35/35.77 substitution0:
% 35.35/35.77 end
% 35.35/35.77 substitution1:
% 35.35/35.77 X := skol22
% 35.35/35.77 Y := skol23
% 35.35/35.77 Z := skol20
% 35.35/35.77 T := skol24
% 35.35/35.77 end
% 35.35/35.77
% 35.35/35.77 subsumption: (440) {G2,W5,D2,L1,V0,M1} R(284,6) { ! perp( skol22, skol23,
% 35.35/35.77 skol20, skol24 ) }.
% 35.35/35.77 parent0: (81881) {G1,W5,D2,L1,V0,M1} { ! perp( skol22, skol23, skol20,
% 35.35/35.77 skol24 ) }.
% 35.35/35.77 substitution0:
% 35.35/35.77 end
% 35.35/35.77 permutation0:
% 35.35/35.77 0 ==> 0
% 35.35/35.77 end
% 35.35/35.77
% 35.35/35.77 resolution: (81882) {G1,W5,D2,L1,V0,M1} { ! perp( skol20, skol24, skol22,
% 35.35/35.77 skol23 ) }.
% 35.35/35.77 parent0[0]: (440) {G2,W5,D2,L1,V0,M1} R(284,6) { ! perp( skol22, skol23,
% 35.35/35.77 skol20, skol24 ) }.
% 35.35/35.77 parent1[1]: (7) {G0,W10,D2,L2,V4,M2} I { ! perp( X, Y, Z, T ), perp( Z, T,
% 35.35/35.77 X, Y ) }.
% 35.35/35.77 substitution0:
% 35.35/35.77 end
% 35.35/35.77 substitution1:
% 35.35/35.77 X := skol20
% 35.35/35.77 Y := skol24
% 35.35/35.77 Z := skol22
% 35.35/35.77 T := skol23
% 35.35/35.77 end
% 35.35/35.77
% 35.35/35.77 subsumption: (454) {G3,W5,D2,L1,V0,M1} R(440,7) { ! perp( skol20, skol24,
% 35.35/35.77 skol22, skol23 ) }.
% 35.35/35.77 parent0: (81882) {G1,W5,D2,L1,V0,M1} { ! perp( skol20, skol24, skol22,
% 35.35/35.77 skol23 ) }.
% 35.35/35.77 substitution0:
% 35.35/35.77 end
% 35.35/35.77 permutation0:
% 35.35/35.77 0 ==> 0
% 35.35/35.77 end
% 35.35/35.77
% 35.35/35.77 resolution: (81883) {G1,W10,D2,L2,V2,M2} { ! para( skol20, skol24, X, Y )
% 35.35/35.77 , ! perp( X, Y, skol22, skol23 ) }.
% 35.35/35.77 parent0[0]: (454) {G3,W5,D2,L1,V0,M1} R(440,7) { ! perp( skol20, skol24,
% 35.35/35.77 skol22, skol23 ) }.
% 35.35/35.77 parent1[2]: (9) {G0,W15,D2,L3,V6,M3} I { ! para( X, Y, U, W ), ! perp( U, W
% 35.35/35.77 , Z, T ), perp( X, Y, Z, T ) }.
% 35.35/35.77 substitution0:
% 35.35/35.77 end
% 35.35/35.77 substitution1:
% 35.35/35.77 X := skol20
% 35.35/35.77 Y := skol24
% 35.35/35.77 Z := skol22
% 35.35/35.77 T := skol23
% 35.35/35.77 U := X
% 35.35/35.77 W := Y
% 35.35/35.77 end
% 35.35/35.77
% 35.35/35.77 subsumption: (455) {G4,W10,D2,L2,V2,M2} R(454,9) { ! para( skol20, skol24,
% 35.35/35.77 X, Y ), ! perp( X, Y, skol22, skol23 ) }.
% 35.35/35.77 parent0: (81883) {G1,W10,D2,L2,V2,M2} { ! para( skol20, skol24, X, Y ), !
% 35.35/35.77 perp( X, Y, skol22, skol23 ) }.
% 35.35/35.77 substitution0:
% 35.35/35.77 X := X
% 35.35/35.77 Y := Y
% 35.35/35.77 end
% 35.35/35.77 permutation0:
% 35.35/35.77 0 ==> 0
% 35.35/35.77 1 ==> 1
% 35.35/35.77 end
% 35.35/35.77
% 35.35/35.77 resolution: (81885) {G1,W8,D2,L2,V3,M2} { coll( Y, X, X ), ! coll( X, Z, Y
% 35.35/35.77 ) }.
% 35.35/35.77 parent0[0]: (1) {G0,W8,D2,L2,V3,M2} I { ! coll( X, Y, Z ), coll( Y, X, Z )
% 35.35/35.77 }.
% 35.35/35.77 parent1[0]: (255) {G4,W8,D2,L2,V3,M2} F(242) { coll( X, Y, X ), ! coll( X,
% 35.35/35.77 Z, Y ) }.
% 35.35/35.77 substitution0:
% 35.35/35.77 X := X
% 35.35/35.77 Y := Y
% 35.35/35.77 Z := X
% 35.35/35.77 end
% 35.35/35.77 substitution1:
% 35.35/35.77 X := X
% 35.35/35.77 Y := Y
% 35.35/35.77 Z := Z
% 35.35/35.77 end
% 35.35/35.77
% 35.35/35.77 subsumption: (503) {G5,W8,D2,L2,V3,M2} R(255,1) { ! coll( X, Y, Z ), coll(
% 35.35/35.77 Z, X, X ) }.
% 35.35/35.77 parent0: (81885) {G1,W8,D2,L2,V3,M2} { coll( Y, X, X ), ! coll( X, Z, Y )
% 35.35/35.77 }.
% 35.35/35.77 substitution0:
% 35.35/35.77 X := X
% 35.35/35.77 Y := Z
% 35.35/35.77 Z := Y
% 35.35/35.77 end
% 35.35/35.77 permutation0:
% 35.35/35.77 0 ==> 1
% 35.35/35.77 1 ==> 0
% 35.35/35.77 end
% 35.35/35.77
% 35.35/35.77 resolution: (81886) {G1,W8,D2,L2,V3,M2} { coll( Z, X, X ), ! coll( Y, X, Z
% 35.35/35.77 ) }.
% 35.35/35.77 parent0[0]: (503) {G5,W8,D2,L2,V3,M2} R(255,1) { ! coll( X, Y, Z ), coll( Z
% 35.35/35.77 , X, X ) }.
% 35.35/35.77 parent1[1]: (1) {G0,W8,D2,L2,V3,M2} I { ! coll( X, Y, Z ), coll( Y, X, Z )
% 35.35/35.77 }.
% 35.35/35.77 substitution0:
% 35.35/35.77 X := X
% 35.35/35.77 Y := Y
% 35.35/35.77 Z := Z
% 35.35/35.77 end
% 35.35/35.77 substitution1:
% 35.35/35.77 X := Y
% 35.35/35.77 Y := X
% 35.35/35.77 Z := Z
% 35.35/35.77 end
% 35.35/35.77
% 35.35/35.77 subsumption: (509) {G6,W8,D2,L2,V3,M2} R(503,1) { coll( X, Y, Y ), ! coll(
% 35.35/35.77 Z, Y, X ) }.
% 35.35/35.77 parent0: (81886) {G1,W8,D2,L2,V3,M2} { coll( Z, X, X ), ! coll( Y, X, Z )
% 35.35/35.77 }.
% 35.35/35.77 substitution0:
% 35.35/35.77 X := Y
% 35.35/35.77 Y := Z
% 35.35/35.77 Z := X
% 35.35/35.77 end
% 35.35/35.77 permutation0:
% 35.35/35.77 0 ==> 0
% 35.35/35.77 1 ==> 1
% 35.35/35.77 end
% 35.35/35.77
% 35.35/35.77 resolution: (81888) {G6,W8,D2,L2,V3,M2} { coll( Y, X, X ), ! coll( Z, Y, X
% 35.35/35.77 ) }.
% 35.35/35.77 parent0[0]: (503) {G5,W8,D2,L2,V3,M2} R(255,1) { ! coll( X, Y, Z ), coll( Z
% 35.35/35.77 , X, X ) }.
% 35.35/35.77 parent1[0]: (509) {G6,W8,D2,L2,V3,M2} R(503,1) { coll( X, Y, Y ), ! coll( Z
% 35.35/35.77 , Y, X ) }.
% 35.35/35.77 substitution0:
% 35.35/35.77 X := X
% 35.35/35.77 Y := Y
% 35.35/35.77 Z := Y
% 35.35/35.77 end
% 35.35/35.77 substitution1:
% 35.35/35.77 X := X
% 35.35/35.77 Y := Y
% 35.35/35.77 Z := Z
% 35.35/35.77 end
% 35.35/35.77
% 35.35/35.77 subsumption: (512) {G7,W8,D2,L2,V3,M2} R(509,503) { ! coll( X, Y, Z ), coll
% 35.35/35.77 ( Y, Z, Z ) }.
% 35.35/35.77 parent0: (81888) {G6,W8,D2,L2,V3,M2} { coll( Y, X, X ), ! coll( Z, Y, X )
% 35.35/35.77 }.
% 35.35/35.77 substitution0:
% 35.35/35.77 X := Z
% 35.35/35.77 Y := Y
% 35.35/35.77 Z := X
% 35.35/35.77 end
% 35.35/35.77 permutation0:
% 35.35/35.77 0 ==> 1
% 35.35/35.77 1 ==> 0
% 35.35/35.77 end
% 35.35/35.77
% 35.35/35.77 resolution: (81889) {G1,W8,D2,L2,V3,M2} { coll( Y, Z, Z ), ! midp( X, Y, Z
% 35.35/35.77 ) }.
% 35.35/35.77 parent0[0]: (512) {G7,W8,D2,L2,V3,M2} R(509,503) { ! coll( X, Y, Z ), coll
% 35.35/35.77 ( Y, Z, Z ) }.
% 35.35/35.77 parent1[1]: (69) {G0,W8,D2,L2,V3,M2} I { ! midp( X, Y, Z ), coll( X, Y, Z )
% 35.35/35.77 }.
% 35.35/35.77 substitution0:
% 35.35/35.77 X := X
% 35.35/35.77 Y := Y
% 35.35/35.77 Z := Z
% 35.35/35.77 end
% 35.35/35.77 substitution1:
% 35.35/35.77 X := X
% 35.35/35.77 Y := Y
% 35.35/35.77 Z := Z
% 35.35/35.77 end
% 35.35/35.77
% 35.35/35.77 subsumption: (516) {G8,W8,D2,L2,V3,M2} R(512,69) { coll( X, Y, Y ), ! midp
% 35.35/35.77 ( Z, X, Y ) }.
% 35.35/35.77 parent0: (81889) {G1,W8,D2,L2,V3,M2} { coll( Y, Z, Z ), ! midp( X, Y, Z )
% 35.35/35.77 }.
% 35.35/35.77 substitution0:
% 35.35/35.77 X := Z
% 35.35/35.77 Y := X
% 35.35/35.77 Z := Y
% 35.35/35.77 end
% 35.35/35.77 permutation0:
% 35.35/35.77 0 ==> 0
% 35.35/35.77 1 ==> 1
% 35.35/35.77 end
% 35.35/35.77
% 35.35/35.77 resolution: (81890) {G5,W8,D2,L2,V3,M2} { coll( X, Y, X ), ! midp( Z, X, Y
% 35.35/35.77 ) }.
% 35.35/35.77 parent0[1]: (255) {G4,W8,D2,L2,V3,M2} F(242) { coll( X, Y, X ), ! coll( X,
% 35.35/35.77 Z, Y ) }.
% 35.35/35.77 parent1[0]: (516) {G8,W8,D2,L2,V3,M2} R(512,69) { coll( X, Y, Y ), ! midp(
% 35.35/35.77 Z, X, Y ) }.
% 35.35/35.77 substitution0:
% 35.35/35.77 X := X
% 35.35/35.77 Y := Y
% 35.35/35.77 Z := Y
% 35.35/35.77 end
% 35.35/35.77 substitution1:
% 35.35/35.77 X := X
% 35.35/35.77 Y := Y
% 35.35/35.77 Z := Z
% 35.35/35.77 end
% 35.35/35.77
% 35.35/35.77 subsumption: (517) {G9,W8,D2,L2,V3,M2} R(516,255) { ! midp( X, Y, Z ), coll
% 35.35/35.77 ( Y, Z, Y ) }.
% 35.35/35.77 parent0: (81890) {G5,W8,D2,L2,V3,M2} { coll( X, Y, X ), ! midp( Z, X, Y )
% 35.35/35.77 }.
% 35.35/35.77 substitution0:
% 35.35/35.77 X := Y
% 35.35/35.77 Y := Z
% 35.35/35.77 Z := X
% 35.35/35.77 end
% 35.35/35.77 permutation0:
% 35.35/35.77 0 ==> 1
% 35.35/35.77 1 ==> 0
% 35.35/35.77 end
% 35.35/35.77
% 35.35/35.77 resolution: (81891) {G1,W8,D2,L2,V3,M2} { coll( X, X, Y ), ! midp( Z, X, Y
% 35.35/35.77 ) }.
% 35.35/35.77 parent0[0]: (0) {G0,W8,D2,L2,V3,M2} I { ! coll( X, Y, Z ), coll( X, Z, Y )
% 35.35/35.77 }.
% 35.35/35.77 parent1[1]: (517) {G9,W8,D2,L2,V3,M2} R(516,255) { ! midp( X, Y, Z ), coll
% 35.35/35.77 ( Y, Z, Y ) }.
% 35.35/35.77 substitution0:
% 35.35/35.77 X := X
% 35.35/35.77 Y := Y
% 35.35/35.77 Z := X
% 35.35/35.77 end
% 35.35/35.77 substitution1:
% 35.35/35.77 X := Z
% 35.35/35.77 Y := X
% 35.35/35.77 Z := Y
% 35.35/35.77 end
% 35.35/35.77
% 35.35/35.77 subsumption: (520) {G10,W8,D2,L2,V3,M2} R(517,0) { ! midp( X, Y, Z ), coll
% 35.35/35.77 ( Y, Y, Z ) }.
% 35.35/35.77 parent0: (81891) {G1,W8,D2,L2,V3,M2} { coll( X, X, Y ), ! midp( Z, X, Y )
% 35.35/35.77 }.
% 35.35/35.77 substitution0:
% 35.35/35.77 X := Y
% 35.35/35.77 Y := Z
% 35.35/35.77 Z := X
% 35.35/35.77 end
% 35.35/35.77 permutation0:
% 35.35/35.77 0 ==> 1
% 35.35/35.77 1 ==> 0
% 35.35/35.77 end
% 35.35/35.77
% 35.35/35.77 resolution: (81892) {G1,W14,D2,L3,V3,M3} { ! coll( X, X, Z ), cyclic( Y, Z
% 35.35/35.77 , X, X ), ! para( X, Y, X, Y ) }.
% 35.35/35.77 parent0[0]: (42) {G0,W18,D2,L3,V4,M3} I { ! eqangle( Z, X, Z, Y, T, X, T, Y
% 35.35/35.77 ), ! coll( Z, T, Y ), cyclic( X, Y, Z, T ) }.
% 35.35/35.77 parent1[1]: (39) {G0,W14,D2,L2,V6,M2} I { ! para( X, Y, Z, T ), eqangle( X
% 35.35/35.77 , Y, U, W, Z, T, U, W ) }.
% 35.35/35.77 substitution0:
% 35.35/35.77 X := Y
% 35.35/35.77 Y := Z
% 35.35/35.77 Z := X
% 35.35/35.77 T := X
% 35.35/35.77 end
% 35.35/35.77 substitution1:
% 35.35/35.77 X := X
% 35.35/35.77 Y := Y
% 35.35/35.77 Z := X
% 35.35/35.77 T := Y
% 35.35/35.77 U := X
% 35.35/35.77 W := Z
% 35.35/35.77 end
% 35.35/35.77
% 35.35/35.77 subsumption: (836) {G1,W14,D2,L3,V3,M3} R(42,39) { ! coll( X, X, Y ),
% 35.35/35.77 cyclic( Z, Y, X, X ), ! para( X, Z, X, Z ) }.
% 35.35/35.77 parent0: (81892) {G1,W14,D2,L3,V3,M3} { ! coll( X, X, Z ), cyclic( Y, Z, X
% 35.35/35.77 , X ), ! para( X, Y, X, Y ) }.
% 35.35/35.77 substitution0:
% 35.35/35.77 X := X
% 35.35/35.77 Y := Z
% 35.35/35.77 Z := Y
% 35.35/35.77 end
% 35.35/35.77 permutation0:
% 35.35/35.77 0 ==> 0
% 35.35/35.77 1 ==> 1
% 35.35/35.77 2 ==> 2
% 35.35/35.77 end
% 35.35/35.77
% 35.35/35.77 resolution: (81893) {G1,W25,D2,L5,V4,M5} { ! cyclic( X, Y, Z, X ), !
% 35.35/35.77 cyclic( X, Y, Z, Y ), ! cyclic( X, Y, Z, T ), cong( X, Y, X, Y ), !
% 35.35/35.77 cyclic( X, Y, Z, T ) }.
% 35.35/35.77 parent0[3]: (43) {G0,W29,D2,L5,V6,M5} I { ! cyclic( X, Y, U, Z ), ! cyclic
% 35.35/35.77 ( X, Y, U, T ), ! cyclic( X, Y, U, W ), ! eqangle( U, X, U, Y, W, Z, W, T
% 35.35/35.77 ), cong( X, Y, Z, T ) }.
% 35.35/35.77 parent1[1]: (40) {G0,W14,D2,L2,V4,M2} I { ! cyclic( X, Y, Z, T ), eqangle(
% 35.35/35.77 Z, X, Z, Y, T, X, T, Y ) }.
% 35.35/35.77 substitution0:
% 35.35/35.77 X := X
% 35.35/35.77 Y := Y
% 35.35/35.77 Z := X
% 35.35/35.77 T := Y
% 35.35/35.77 U := Z
% 35.35/35.77 W := T
% 35.35/35.77 end
% 35.35/35.77 substitution1:
% 35.35/35.77 X := X
% 35.35/35.77 Y := Y
% 35.35/35.77 Z := Z
% 35.35/35.77 T := T
% 35.35/35.77 end
% 35.35/35.77
% 35.35/35.77 factor: (81895) {G1,W20,D2,L4,V3,M4} { ! cyclic( X, Y, Z, X ), ! cyclic( X
% 35.35/35.77 , Y, Z, Y ), cong( X, Y, X, Y ), ! cyclic( X, Y, Z, X ) }.
% 35.35/35.77 parent0[0, 2]: (81893) {G1,W25,D2,L5,V4,M5} { ! cyclic( X, Y, Z, X ), !
% 35.35/35.77 cyclic( X, Y, Z, Y ), ! cyclic( X, Y, Z, T ), cong( X, Y, X, Y ), !
% 35.35/35.77 cyclic( X, Y, Z, T ) }.
% 35.35/35.77 substitution0:
% 35.35/35.77 X := X
% 35.35/35.77 Y := Y
% 35.35/35.77 Z := Z
% 35.35/35.77 T := X
% 35.35/35.77 end
% 35.35/35.77
% 35.35/35.77 subsumption: (968) {G1,W20,D2,L4,V4,M4} R(43,40);f { ! cyclic( X, Y, Z, X )
% 35.35/35.77 , ! cyclic( X, Y, Z, Y ), ! cyclic( X, Y, Z, T ), cong( X, Y, X, Y ) }.
% 35.35/35.77 parent0: (81895) {G1,W20,D2,L4,V3,M4} { ! cyclic( X, Y, Z, X ), ! cyclic(
% 35.35/35.77 X, Y, Z, Y ), cong( X, Y, X, Y ), ! cyclic( X, Y, Z, X ) }.
% 35.35/35.77 substitution0:
% 35.35/35.77 X := X
% 35.35/35.77 Y := Y
% 35.35/35.77 Z := Z
% 35.35/35.77 end
% 35.35/35.77 permutation0:
% 35.35/35.77 0 ==> 0
% 35.35/35.77 1 ==> 1
% 35.35/35.77 2 ==> 3
% 35.35/35.77 3 ==> 0
% 35.35/35.77 end
% 35.35/35.77
% 35.35/35.77 factor: (81900) {G1,W15,D2,L3,V3,M3} { ! cyclic( X, Y, Z, X ), ! cyclic( X
% 35.35/35.77 , Y, Z, Y ), cong( X, Y, X, Y ) }.
% 35.35/35.77 parent0[0, 2]: (968) {G1,W20,D2,L4,V4,M4} R(43,40);f { ! cyclic( X, Y, Z, X
% 35.35/35.77 ), ! cyclic( X, Y, Z, Y ), ! cyclic( X, Y, Z, T ), cong( X, Y, X, Y )
% 35.35/35.77 }.
% 35.35/35.77 substitution0:
% 35.35/35.77 X := X
% 35.35/35.77 Y := Y
% 35.35/35.77 Z := Z
% 35.35/35.77 T := X
% 35.35/35.77 end
% 35.35/35.77
% 35.35/35.77 subsumption: (1000) {G2,W15,D2,L3,V3,M3} F(968) { ! cyclic( X, Y, Z, X ), !
% 35.35/35.77 cyclic( X, Y, Z, Y ), cong( X, Y, X, Y ) }.
% 35.35/35.77 parent0: (81900) {G1,W15,D2,L3,V3,M3} { ! cyclic( X, Y, Z, X ), ! cyclic(
% 35.35/35.77 X, Y, Z, Y ), cong( X, Y, X, Y ) }.
% 35.35/35.77 substitution0:
% 35.35/35.77 X := X
% 35.35/35.77 Y := Y
% 35.35/35.77 Z := Z
% 35.35/35.77 end
% 35.35/35.77 permutation0:
% 35.35/35.77 0 ==> 0
% 35.35/35.77 1 ==> 1
% 35.35/35.77 2 ==> 2
% 35.35/35.77 end
% 35.35/35.77
% 35.35/35.77 resolution: (81902) {G1,W10,D2,L2,V1,M2} { ! perp( skol27, X, X, skol26 )
% 35.35/35.77 , cong( skol27, skol22, X, skol22 ) }.
% 35.35/35.77 parent0[1]: (52) {G0,W14,D2,L3,V4,M3} I { ! perp( X, Y, Y, T ), ! midp( Z,
% 35.35/35.77 X, T ), cong( X, Z, Y, Z ) }.
% 35.35/35.77 parent1[0]: (326) {G1,W4,D2,L1,V0,M1} R(10,117) { midp( skol22, skol27,
% 35.35/35.77 skol26 ) }.
% 35.35/35.77 substitution0:
% 35.35/35.77 X := skol27
% 35.35/35.77 Y := X
% 35.35/35.77 Z := skol22
% 35.35/35.77 T := skol26
% 35.35/35.77 end
% 35.35/35.77 substitution1:
% 35.35/35.77 end
% 35.35/35.77
% 35.35/35.77 subsumption: (1317) {G2,W10,D2,L2,V1,M2} R(52,326) { ! perp( skol27, X, X,
% 35.35/35.77 skol26 ), cong( skol27, skol22, X, skol22 ) }.
% 35.35/35.77 parent0: (81902) {G1,W10,D2,L2,V1,M2} { ! perp( skol27, X, X, skol26 ),
% 35.35/35.77 cong( skol27, skol22, X, skol22 ) }.
% 35.35/35.77 substitution0:
% 35.35/35.77 X := X
% 35.35/35.77 end
% 35.35/35.77 permutation0:
% 35.35/35.77 0 ==> 0
% 35.35/35.77 1 ==> 1
% 35.35/35.77 end
% 35.35/35.77
% 35.35/35.77 resolution: (81903) {G1,W9,D2,L2,V0,M2} { ! coll( skol24, skol27, skol26 )
% 35.35/35.77 , perp( skol27, skol25, skol25, skol26 ) }.
% 35.35/35.77 parent0[0]: (53) {G0,W14,D2,L3,V4,M3} I { ! circle( T, X, Y, Z ), ! coll( T
% 35.35/35.77 , X, Z ), perp( X, Y, Y, Z ) }.
% 35.35/35.77 parent1[0]: (119) {G0,W5,D2,L1,V0,M1} I { circle( skol24, skol27, skol25,
% 35.35/35.77 skol26 ) }.
% 35.35/35.77 substitution0:
% 35.35/35.77 X := skol27
% 35.35/35.77 Y := skol25
% 35.35/35.77 Z := skol26
% 35.35/35.77 T := skol24
% 35.35/35.77 end
% 35.35/35.77 substitution1:
% 35.35/35.77 end
% 35.35/35.77
% 35.35/35.77 subsumption: (1542) {G1,W9,D2,L2,V0,M2} R(53,119) { ! coll( skol24, skol27
% 35.35/35.77 , skol26 ), perp( skol27, skol25, skol25, skol26 ) }.
% 35.35/35.77 parent0: (81903) {G1,W9,D2,L2,V0,M2} { ! coll( skol24, skol27, skol26 ),
% 35.35/35.77 perp( skol27, skol25, skol25, skol26 ) }.
% 35.35/35.77 substitution0:
% 35.35/35.77 end
% 35.35/35.77 permutation0:
% 35.35/35.77 0 ==> 0
% 35.35/35.77 1 ==> 1
% 35.35/35.77 end
% 35.35/35.77
% 35.35/35.77 resolution: (81905) {G1,W20,D2,L4,V6,M4} { ! perp( X, Y, Z, T ), para( X,
% 35.35/35.77 Y, U, W ), ! cong( Z, U, T, U ), ! cong( Z, W, T, W ) }.
% 35.35/35.77 parent0[1]: (8) {G0,W15,D2,L3,V6,M3} I { ! perp( X, Y, U, W ), ! perp( U, W
% 35.35/35.77 , Z, T ), para( X, Y, Z, T ) }.
% 35.35/35.77 parent1[2]: (56) {G0,W15,D2,L3,V4,M3} I { ! cong( X, Z, Y, Z ), ! cong( X,
% 35.35/35.77 T, Y, T ), perp( X, Y, Z, T ) }.
% 35.35/35.77 substitution0:
% 35.35/35.77 X := X
% 35.35/35.77 Y := Y
% 35.35/35.77 Z := U
% 35.35/35.77 T := W
% 35.35/35.77 U := Z
% 35.35/35.77 W := T
% 35.35/35.77 end
% 35.35/35.77 substitution1:
% 35.35/35.77 X := Z
% 35.35/35.77 Y := T
% 35.35/35.77 Z := U
% 35.35/35.77 T := W
% 35.35/35.77 end
% 35.35/35.77
% 35.35/35.77 subsumption: (1639) {G1,W20,D2,L4,V6,M4} R(56,8) { ! cong( X, Y, Z, Y ), !
% 35.35/35.77 cong( X, T, Z, T ), ! perp( U, W, X, Z ), para( U, W, Y, T ) }.
% 35.35/35.77 parent0: (81905) {G1,W20,D2,L4,V6,M4} { ! perp( X, Y, Z, T ), para( X, Y,
% 35.35/35.77 U, W ), ! cong( Z, U, T, U ), ! cong( Z, W, T, W ) }.
% 35.35/35.77 substitution0:
% 35.35/35.77 X := U
% 35.35/35.77 Y := W
% 35.35/35.77 Z := X
% 35.35/35.77 T := Z
% 35.35/35.77 U := Y
% 35.35/35.77 W := T
% 35.35/35.77 end
% 35.35/35.77 permutation0:
% 35.35/35.77 0 ==> 2
% 35.35/35.77 1 ==> 3
% 35.35/35.77 2 ==> 0
% 35.35/35.77 3 ==> 1
% 35.35/35.77 end
% 35.35/35.77
% 35.35/35.77 resolution: (81908) {G1,W15,D2,L3,V4,M3} { perp( Z, T, X, Y ), ! cong( X,
% 35.35/35.77 Z, Y, Z ), ! cong( X, T, Y, T ) }.
% 35.35/35.77 parent0[0]: (7) {G0,W10,D2,L2,V4,M2} I { ! perp( X, Y, Z, T ), perp( Z, T,
% 35.35/35.77 X, Y ) }.
% 35.35/35.77 parent1[2]: (56) {G0,W15,D2,L3,V4,M3} I { ! cong( X, Z, Y, Z ), ! cong( X,
% 35.35/35.77 T, Y, T ), perp( X, Y, Z, T ) }.
% 35.35/35.77 substitution0:
% 35.35/35.77 X := X
% 35.35/35.77 Y := Y
% 35.35/35.77 Z := Z
% 35.35/35.77 T := T
% 35.35/35.77 end
% 35.35/35.77 substitution1:
% 35.35/35.77 X := X
% 35.35/35.77 Y := Y
% 35.35/35.77 Z := Z
% 35.35/35.77 T := T
% 35.35/35.77 end
% 35.35/35.77
% 35.35/35.77 subsumption: (1640) {G1,W15,D2,L3,V4,M3} R(56,7) { ! cong( X, Y, Z, Y ), !
% 35.35/35.77 cong( X, T, Z, T ), perp( Y, T, X, Z ) }.
% 35.35/35.77 parent0: (81908) {G1,W15,D2,L3,V4,M3} { perp( Z, T, X, Y ), ! cong( X, Z,
% 35.35/35.77 Y, Z ), ! cong( X, T, Y, T ) }.
% 35.35/35.77 substitution0:
% 35.35/35.77 X := X
% 35.35/35.77 Y := Z
% 35.35/35.77 Z := Y
% 35.35/35.77 T := T
% 35.35/35.77 end
% 35.35/35.77 permutation0:
% 35.35/35.77 0 ==> 2
% 35.35/35.77 1 ==> 0
% 35.35/35.77 2 ==> 1
% 35.35/35.77 end
% 35.35/35.77
% 35.35/35.77 factor: (81910) {G1,W15,D2,L3,V5,M3} { ! cong( X, Y, Z, Y ), ! perp( T, U
% 35.35/35.77 , X, Z ), para( T, U, Y, Y ) }.
% 35.35/35.77 parent0[0, 1]: (1639) {G1,W20,D2,L4,V6,M4} R(56,8) { ! cong( X, Y, Z, Y ),
% 35.35/35.77 ! cong( X, T, Z, T ), ! perp( U, W, X, Z ), para( U, W, Y, T ) }.
% 35.35/35.77 substitution0:
% 35.35/35.77 X := X
% 35.35/35.77 Y := Y
% 35.35/35.77 Z := Z
% 35.35/35.77 T := Y
% 35.35/35.77 U := T
% 35.35/35.77 W := U
% 35.35/35.77 end
% 35.35/35.77
% 35.35/35.77 subsumption: (1642) {G2,W15,D2,L3,V5,M3} F(1639) { ! cong( X, Y, Z, Y ), !
% 35.35/35.77 perp( T, U, X, Z ), para( T, U, Y, Y ) }.
% 35.35/35.77 parent0: (81910) {G1,W15,D2,L3,V5,M3} { ! cong( X, Y, Z, Y ), ! perp( T, U
% 35.35/35.77 , X, Z ), para( T, U, Y, Y ) }.
% 35.35/35.77 substitution0:
% 35.35/35.77 X := X
% 35.35/35.77 Y := Y
% 35.35/35.77 Z := Z
% 35.35/35.77 T := T
% 35.35/35.77 U := U
% 35.35/35.77 end
% 35.35/35.77 permutation0:
% 35.35/35.77 0 ==> 0
% 35.35/35.77 1 ==> 1
% 35.35/35.77 2 ==> 2
% 35.35/35.77 end
% 35.35/35.77
% 35.35/35.77 resolution: (81912) {G1,W13,D2,L3,V5,M3} { ! midp( X, Y, Z ), para( Y, T,
% 35.35/35.77 Z, U ), ! midp( X, U, T ) }.
% 35.35/35.77 parent0[1]: (63) {G0,W13,D2,L3,V5,M3} I { ! midp( U, X, Y ), ! midp( U, Z,
% 35.35/35.77 T ), para( X, Z, Y, T ) }.
% 35.35/35.77 parent1[1]: (10) {G0,W8,D2,L2,V3,M2} I { ! midp( Z, Y, X ), midp( Z, X, Y )
% 35.35/35.77 }.
% 35.35/35.77 substitution0:
% 35.35/35.77 X := Y
% 35.35/35.77 Y := Z
% 35.35/35.77 Z := T
% 35.35/35.77 T := U
% 35.35/35.77 U := X
% 35.35/35.77 end
% 35.35/35.77 substitution1:
% 35.35/35.77 X := T
% 35.35/35.77 Y := U
% 35.35/35.77 Z := X
% 35.35/35.77 end
% 35.35/35.77
% 35.35/35.77 subsumption: (1900) {G1,W13,D2,L3,V5,M3} R(63,10) { ! midp( X, Y, Z ), para
% 35.35/35.77 ( Y, T, Z, U ), ! midp( X, U, T ) }.
% 35.35/35.77 parent0: (81912) {G1,W13,D2,L3,V5,M3} { ! midp( X, Y, Z ), para( Y, T, Z,
% 35.35/35.77 U ), ! midp( X, U, T ) }.
% 35.35/35.77 substitution0:
% 35.35/35.77 X := X
% 35.35/35.77 Y := Y
% 35.35/35.77 Z := Z
% 35.35/35.77 T := T
% 35.35/35.77 U := U
% 35.35/35.77 end
% 35.35/35.77 permutation0:
% 35.35/35.77 0 ==> 0
% 35.35/35.77 1 ==> 1
% 35.35/35.77 2 ==> 2
% 35.35/35.77 end
% 35.35/35.77
% 35.35/35.77 factor: (81915) {G1,W9,D2,L2,V3,M2} { ! midp( X, Y, Z ), para( Y, Z, Z, Y
% 35.35/35.77 ) }.
% 35.35/35.77 parent0[0, 2]: (1900) {G1,W13,D2,L3,V5,M3} R(63,10) { ! midp( X, Y, Z ),
% 35.35/35.77 para( Y, T, Z, U ), ! midp( X, U, T ) }.
% 35.35/35.77 substitution0:
% 35.35/35.77 X := X
% 35.35/35.77 Y := Y
% 35.35/35.77 Z := Z
% 35.35/35.77 T := Z
% 35.35/35.77 U := Y
% 35.35/35.77 end
% 35.35/35.77
% 35.35/35.77 subsumption: (1916) {G2,W9,D2,L2,V3,M2} F(1900) { ! midp( X, Y, Z ), para(
% 35.35/35.77 Y, Z, Z, Y ) }.
% 35.35/35.77 parent0: (81915) {G1,W9,D2,L2,V3,M2} { ! midp( X, Y, Z ), para( Y, Z, Z, Y
% 35.35/35.77 ) }.
% 35.35/35.77 substitution0:
% 35.35/35.77 X := X
% 35.35/35.77 Y := Y
% 35.35/35.77 Z := Z
% 35.35/35.77 end
% 35.35/35.77 permutation0:
% 35.35/35.77 0 ==> 0
% 35.35/35.77 1 ==> 1
% 35.35/35.77 end
% 35.35/35.77
% 35.35/35.77 resolution: (81916) {G1,W5,D2,L1,V0,M1} { cong( skol23, skol27, skol23,
% 35.35/35.77 skol25 ) }.
% 35.35/35.77 parent0[0]: (68) {G0,W9,D2,L2,V3,M2} I { ! midp( X, Y, Z ), cong( X, Y, X,
% 35.35/35.77 Z ) }.
% 35.35/35.77 parent1[0]: (327) {G1,W4,D2,L1,V0,M1} R(10,118) { midp( skol23, skol27,
% 35.35/35.77 skol25 ) }.
% 35.35/35.77 substitution0:
% 35.35/35.77 X := skol23
% 35.35/35.77 Y := skol27
% 35.35/35.77 Z := skol25
% 35.35/35.77 end
% 35.35/35.77 substitution1:
% 35.35/35.77 end
% 35.35/35.77
% 35.35/35.77 subsumption: (2435) {G2,W5,D2,L1,V0,M1} R(68,327) { cong( skol23, skol27,
% 35.35/35.77 skol23, skol25 ) }.
% 35.35/35.77 parent0: (81916) {G1,W5,D2,L1,V0,M1} { cong( skol23, skol27, skol23,
% 35.35/35.77 skol25 ) }.
% 35.35/35.77 substitution0:
% 35.35/35.77 end
% 35.35/35.77 permutation0:
% 35.35/35.77 0 ==> 0
% 35.35/35.77 end
% 35.35/35.77
% 35.35/35.77 resolution: (81917) {G1,W5,D2,L1,V0,M1} { cong( skol23, skol25, skol23,
% 35.35/35.77 skol27 ) }.
% 35.35/35.77 parent0[0]: (68) {G0,W9,D2,L2,V3,M2} I { ! midp( X, Y, Z ), cong( X, Y, X,
% 35.35/35.77 Z ) }.
% 35.35/35.77 parent1[0]: (118) {G0,W4,D2,L1,V0,M1} I { midp( skol23, skol25, skol27 )
% 35.35/35.77 }.
% 35.35/35.77 substitution0:
% 35.35/35.77 X := skol23
% 35.35/35.77 Y := skol25
% 35.35/35.77 Z := skol27
% 35.35/35.77 end
% 35.35/35.77 substitution1:
% 35.35/35.77 end
% 35.35/35.77
% 35.35/35.77 subsumption: (2440) {G1,W5,D2,L1,V0,M1} R(68,118) { cong( skol23, skol25,
% 35.35/35.77 skol23, skol27 ) }.
% 35.35/35.77 parent0: (81917) {G1,W5,D2,L1,V0,M1} { cong( skol23, skol25, skol23,
% 35.35/35.77 skol27 ) }.
% 35.35/35.77 substitution0:
% 35.35/35.77 end
% 35.35/35.77 permutation0:
% 35.35/35.77 0 ==> 0
% 35.35/35.77 end
% 35.35/35.77
% 35.35/35.77 resolution: (81918) {G1,W5,D2,L1,V0,M1} { cong( skol23, skol27, skol25,
% 35.35/35.77 skol23 ) }.
% 35.35/35.77 parent0[0]: (22) {G0,W10,D2,L2,V4,M2} I { ! cong( X, Y, Z, T ), cong( X, Y
% 35.35/35.77 , T, Z ) }.
% 35.35/35.77 parent1[0]: (2435) {G2,W5,D2,L1,V0,M1} R(68,327) { cong( skol23, skol27,
% 35.35/35.77 skol23, skol25 ) }.
% 35.35/35.77 substitution0:
% 35.35/35.77 X := skol23
% 35.35/35.77 Y := skol27
% 35.35/35.77 Z := skol23
% 35.35/35.77 T := skol25
% 35.35/35.77 end
% 35.35/35.77 substitution1:
% 35.35/35.77 end
% 35.35/35.77
% 35.35/35.77 subsumption: (2449) {G3,W5,D2,L1,V0,M1} R(2435,22) { cong( skol23, skol27,
% 35.35/35.77 skol25, skol23 ) }.
% 35.35/35.77 parent0: (81918) {G1,W5,D2,L1,V0,M1} { cong( skol23, skol27, skol25,
% 35.35/35.77 skol23 ) }.
% 35.35/35.77 substitution0:
% 35.35/35.77 end
% 35.35/35.77 permutation0:
% 35.35/35.77 0 ==> 0
% 35.35/35.77 end
% 35.35/35.77
% 35.35/35.77 resolution: (81919) {G1,W5,D2,L1,V0,M1} { cong( skol25, skol23, skol23,
% 35.35/35.77 skol27 ) }.
% 35.35/35.77 parent0[0]: (23) {G0,W10,D2,L2,V4,M2} I { ! cong( X, Y, Z, T ), cong( Z, T
% 35.35/35.77 , X, Y ) }.
% 35.35/35.77 parent1[0]: (2449) {G3,W5,D2,L1,V0,M1} R(2435,22) { cong( skol23, skol27,
% 35.35/35.77 skol25, skol23 ) }.
% 35.35/35.77 substitution0:
% 35.35/35.77 X := skol23
% 35.35/35.77 Y := skol27
% 35.35/35.77 Z := skol25
% 35.35/35.77 T := skol23
% 35.35/35.77 end
% 35.35/35.77 substitution1:
% 35.35/35.77 end
% 35.35/35.77
% 35.35/35.77 subsumption: (2461) {G4,W5,D2,L1,V0,M1} R(2449,23) { cong( skol25, skol23,
% 35.35/35.77 skol23, skol27 ) }.
% 35.35/35.77 parent0: (81919) {G1,W5,D2,L1,V0,M1} { cong( skol25, skol23, skol23,
% 35.35/35.77 skol27 ) }.
% 35.35/35.77 substitution0:
% 35.35/35.77 end
% 35.35/35.77 permutation0:
% 35.35/35.77 0 ==> 0
% 35.35/35.77 end
% 35.35/35.77
% 35.35/35.77 resolution: (81920) {G1,W5,D2,L1,V0,M1} { cong( skol25, skol23, skol27,
% 35.35/35.77 skol23 ) }.
% 35.35/35.77 parent0[0]: (22) {G0,W10,D2,L2,V4,M2} I { ! cong( X, Y, Z, T ), cong( X, Y
% 35.35/35.77 , T, Z ) }.
% 35.35/35.77 parent1[0]: (2461) {G4,W5,D2,L1,V0,M1} R(2449,23) { cong( skol25, skol23,
% 35.35/35.77 skol23, skol27 ) }.
% 35.35/35.77 substitution0:
% 35.35/35.77 X := skol25
% 35.35/35.77 Y := skol23
% 35.35/35.77 Z := skol23
% 35.35/35.77 T := skol27
% 35.35/35.77 end
% 35.35/35.77 substitution1:
% 35.35/35.77 end
% 35.35/35.77
% 35.35/35.77 subsumption: (2465) {G5,W5,D2,L1,V0,M1} R(2461,22) { cong( skol25, skol23,
% 35.35/35.77 skol27, skol23 ) }.
% 35.35/35.77 parent0: (81920) {G1,W5,D2,L1,V0,M1} { cong( skol25, skol23, skol27,
% 35.35/35.77 skol23 ) }.
% 35.35/35.77 substitution0:
% 35.35/35.77 end
% 35.35/35.77 permutation0:
% 35.35/35.77 0 ==> 0
% 35.35/35.77 end
% 35.35/35.77
% 35.35/35.77 resolution: (81921) {G1,W10,D2,L2,V1,M2} { ! cong( skol25, X, skol27, X )
% 35.35/35.77 , perp( skol25, skol27, skol23, X ) }.
% 35.35/35.77 parent0[0]: (56) {G0,W15,D2,L3,V4,M3} I { ! cong( X, Z, Y, Z ), ! cong( X,
% 35.35/35.77 T, Y, T ), perp( X, Y, Z, T ) }.
% 35.35/35.77 parent1[0]: (2465) {G5,W5,D2,L1,V0,M1} R(2461,22) { cong( skol25, skol23,
% 35.35/35.77 skol27, skol23 ) }.
% 35.35/35.77 substitution0:
% 35.35/35.77 X := skol25
% 35.35/35.77 Y := skol27
% 35.35/35.77 Z := skol23
% 35.35/35.77 T := X
% 35.35/35.77 end
% 35.35/35.77 substitution1:
% 35.35/35.77 end
% 35.35/35.77
% 35.35/35.77 subsumption: (2469) {G6,W10,D2,L2,V1,M2} R(2465,56) { ! cong( skol25, X,
% 35.35/35.77 skol27, X ), perp( skol25, skol27, skol23, X ) }.
% 35.35/35.77 parent0: (81921) {G1,W10,D2,L2,V1,M2} { ! cong( skol25, X, skol27, X ),
% 35.35/35.77 perp( skol25, skol27, skol23, X ) }.
% 35.35/35.77 substitution0:
% 35.35/35.77 X := X
% 35.35/35.77 end
% 35.35/35.77 permutation0:
% 35.35/35.77 0 ==> 0
% 35.35/35.77 1 ==> 1
% 35.35/35.77 end
% 35.35/35.77
% 35.35/35.77 resolution: (81923) {G2,W5,D2,L1,V0,M1} { cyclic( skol25, skol27, skol27,
% 35.35/35.77 skol27 ) }.
% 35.35/35.77 parent0[0]: (127) {G2,W10,D2,L2,V3,M2} F(126) { ! cong( X, Y, X, Z ),
% 35.35/35.77 cyclic( Y, Z, Z, Z ) }.
% 35.35/35.77 parent1[0]: (2440) {G1,W5,D2,L1,V0,M1} R(68,118) { cong( skol23, skol25,
% 35.35/35.77 skol23, skol27 ) }.
% 35.35/35.77 substitution0:
% 35.35/35.77 X := skol23
% 35.35/35.77 Y := skol25
% 35.35/35.77 Z := skol27
% 35.35/35.77 end
% 35.35/35.77 substitution1:
% 35.35/35.77 end
% 35.35/35.77
% 35.35/35.77 subsumption: (7325) {G3,W5,D2,L1,V0,M1} R(127,2440) { cyclic( skol25,
% 35.35/35.77 skol27, skol27, skol27 ) }.
% 35.35/35.77 parent0: (81923) {G2,W5,D2,L1,V0,M1} { cyclic( skol25, skol27, skol27,
% 35.35/35.77 skol27 ) }.
% 35.35/35.77 substitution0:
% 35.35/35.77 end
% 35.35/35.77 permutation0:
% 35.35/35.77 0 ==> 0
% 35.35/35.77 end
% 35.35/35.77
% 35.35/35.77 resolution: (81924) {G3,W5,D2,L1,V0,M1} { cyclic( skol27, skol25, skol25,
% 35.35/35.77 skol25 ) }.
% 35.35/35.77 parent0[0]: (127) {G2,W10,D2,L2,V3,M2} F(126) { ! cong( X, Y, X, Z ),
% 35.35/35.77 cyclic( Y, Z, Z, Z ) }.
% 35.35/35.77 parent1[0]: (2435) {G2,W5,D2,L1,V0,M1} R(68,327) { cong( skol23, skol27,
% 35.35/35.77 skol23, skol25 ) }.
% 35.35/35.77 substitution0:
% 35.35/35.77 X := skol23
% 35.35/35.77 Y := skol27
% 35.35/35.77 Z := skol25
% 35.35/35.77 end
% 35.35/35.77 substitution1:
% 35.35/35.77 end
% 35.35/35.77
% 35.35/35.77 subsumption: (7330) {G3,W5,D2,L1,V0,M1} R(127,2435) { cyclic( skol27,
% 35.35/35.77 skol25, skol25, skol25 ) }.
% 35.35/35.77 parent0: (81924) {G3,W5,D2,L1,V0,M1} { cyclic( skol27, skol25, skol25,
% 35.35/35.77 skol25 ) }.
% 35.35/35.77 substitution0:
% 35.35/35.77 end
% 35.35/35.77 permutation0:
% 35.35/35.77 0 ==> 0
% 35.35/35.77 end
% 35.35/35.77
% 35.35/35.77 resolution: (81925) {G1,W5,D2,L1,V0,M1} { cyclic( skol27, skol25, skol27,
% 35.35/35.77 skol27 ) }.
% 35.35/35.77 parent0[0]: (15) {G0,W10,D2,L2,V4,M2} I { ! cyclic( X, Y, Z, T ), cyclic( Y
% 35.35/35.77 , X, Z, T ) }.
% 35.35/35.77 parent1[0]: (7325) {G3,W5,D2,L1,V0,M1} R(127,2440) { cyclic( skol25, skol27
% 35.35/35.77 , skol27, skol27 ) }.
% 35.35/35.77 substitution0:
% 35.35/35.77 X := skol25
% 35.35/35.77 Y := skol27
% 35.35/35.77 Z := skol27
% 35.35/35.77 T := skol27
% 35.35/35.77 end
% 35.35/35.77 substitution1:
% 35.35/35.77 end
% 35.35/35.77
% 35.35/35.77 subsumption: (7346) {G4,W5,D2,L1,V0,M1} R(7325,15) { cyclic( skol27, skol25
% 35.35/35.77 , skol27, skol27 ) }.
% 35.35/35.77 parent0: (81925) {G1,W5,D2,L1,V0,M1} { cyclic( skol27, skol25, skol27,
% 35.35/35.77 skol27 ) }.
% 35.35/35.77 substitution0:
% 35.35/35.77 end
% 35.35/35.77 permutation0:
% 35.35/35.77 0 ==> 0
% 35.35/35.77 end
% 35.35/35.77
% 35.35/35.77 resolution: (81926) {G1,W5,D2,L1,V0,M1} { cyclic( skol27, skol27, skol25,
% 35.35/35.77 skol27 ) }.
% 35.35/35.77 parent0[0]: (14) {G0,W10,D2,L2,V4,M2} I { ! cyclic( X, Y, Z, T ), cyclic( X
% 35.35/35.77 , Z, Y, T ) }.
% 35.35/35.77 parent1[0]: (7346) {G4,W5,D2,L1,V0,M1} R(7325,15) { cyclic( skol27, skol25
% 35.35/35.77 , skol27, skol27 ) }.
% 35.35/35.77 substitution0:
% 35.35/35.77 X := skol27
% 35.35/35.77 Y := skol25
% 35.35/35.77 Z := skol27
% 35.35/35.77 T := skol27
% 35.35/35.77 end
% 35.35/35.77 substitution1:
% 35.35/35.77 end
% 35.35/35.77
% 35.35/35.77 subsumption: (7351) {G5,W5,D2,L1,V0,M1} R(7346,14) { cyclic( skol27, skol27
% 35.35/35.77 , skol25, skol27 ) }.
% 35.35/35.77 parent0: (81926) {G1,W5,D2,L1,V0,M1} { cyclic( skol27, skol27, skol25,
% 35.35/35.77 skol27 ) }.
% 35.35/35.77 substitution0:
% 35.35/35.77 end
% 35.35/35.77 permutation0:
% 35.35/35.77 0 ==> 0
% 35.35/35.77 end
% 35.35/35.77
% 35.35/35.77 resolution: (81927) {G1,W5,D2,L1,V0,M1} { cyclic( skol27, skol27, skol27,
% 35.35/35.77 skol25 ) }.
% 35.35/35.77 parent0[0]: (13) {G0,W10,D2,L2,V4,M2} I { ! cyclic( X, Y, Z, T ), cyclic( X
% 35.35/35.77 , Y, T, Z ) }.
% 35.35/35.77 parent1[0]: (7351) {G5,W5,D2,L1,V0,M1} R(7346,14) { cyclic( skol27, skol27
% 35.35/35.77 , skol25, skol27 ) }.
% 35.35/35.77 substitution0:
% 35.35/35.77 X := skol27
% 35.35/35.77 Y := skol27
% 35.35/35.77 Z := skol25
% 35.35/35.77 T := skol27
% 35.35/35.77 end
% 35.35/35.77 substitution1:
% 35.35/35.77 end
% 35.35/35.77
% 35.35/35.77 subsumption: (7354) {G6,W5,D2,L1,V0,M1} R(7351,13) { cyclic( skol27, skol27
% 35.35/35.77 , skol27, skol25 ) }.
% 35.35/35.77 parent0: (81927) {G1,W5,D2,L1,V0,M1} { cyclic( skol27, skol27, skol27,
% 35.35/35.77 skol25 ) }.
% 35.35/35.77 substitution0:
% 35.35/35.77 end
% 35.35/35.77 permutation0:
% 35.35/35.77 0 ==> 0
% 35.35/35.77 end
% 35.35/35.77
% 35.35/35.77 resolution: (81928) {G2,W5,D2,L1,V0,M1} { cyclic( skol27, skol27, skol25,
% 35.35/35.77 skol25 ) }.
% 35.35/35.77 parent0[0]: (128) {G1,W10,D2,L2,V4,M2} F(16) { ! cyclic( X, Y, Z, T ),
% 35.35/35.77 cyclic( Y, Z, T, T ) }.
% 35.35/35.77 parent1[0]: (7354) {G6,W5,D2,L1,V0,M1} R(7351,13) { cyclic( skol27, skol27
% 35.35/35.77 , skol27, skol25 ) }.
% 35.35/35.77 substitution0:
% 35.35/35.77 X := skol27
% 35.35/35.77 Y := skol27
% 35.35/35.77 Z := skol27
% 35.35/35.77 T := skol25
% 35.35/35.77 end
% 35.35/35.77 substitution1:
% 35.35/35.77 end
% 35.35/35.77
% 35.35/35.77 subsumption: (7361) {G7,W5,D2,L1,V0,M1} R(128,7354) { cyclic( skol27,
% 35.35/35.77 skol27, skol25, skol25 ) }.
% 35.35/35.77 parent0: (81928) {G2,W5,D2,L1,V0,M1} { cyclic( skol27, skol27, skol25,
% 35.35/35.77 skol25 ) }.
% 35.35/35.77 substitution0:
% 35.35/35.77 end
% 35.35/35.77 permutation0:
% 35.35/35.77 0 ==> 0
% 35.35/35.77 end
% 35.35/35.77
% 35.35/35.77 resolution: (81929) {G1,W5,D2,L1,V0,M1} { cyclic( skol27, skol25, skol27,
% 35.35/35.77 skol25 ) }.
% 35.35/35.77 parent0[0]: (14) {G0,W10,D2,L2,V4,M2} I { ! cyclic( X, Y, Z, T ), cyclic( X
% 35.35/35.77 , Z, Y, T ) }.
% 35.35/35.77 parent1[0]: (7361) {G7,W5,D2,L1,V0,M1} R(128,7354) { cyclic( skol27, skol27
% 35.35/35.77 , skol25, skol25 ) }.
% 35.35/35.77 substitution0:
% 35.35/35.77 X := skol27
% 35.35/35.77 Y := skol27
% 35.35/35.77 Z := skol25
% 35.35/35.77 T := skol25
% 35.35/35.77 end
% 35.35/35.77 substitution1:
% 35.35/35.77 end
% 35.35/35.77
% 35.35/35.77 subsumption: (7375) {G8,W5,D2,L1,V0,M1} R(7361,14) { cyclic( skol27, skol25
% 35.35/35.77 , skol27, skol25 ) }.
% 35.35/35.77 parent0: (81929) {G1,W5,D2,L1,V0,M1} { cyclic( skol27, skol25, skol27,
% 35.35/35.77 skol25 ) }.
% 35.35/35.77 substitution0:
% 35.35/35.77 end
% 35.35/35.77 permutation0:
% 35.35/35.77 0 ==> 0
% 35.35/35.77 end
% 35.35/35.77
% 35.35/35.77 resolution: (81930) {G1,W5,D2,L1,V0,M1} { cyclic( skol27, skol25, skol25,
% 35.35/35.77 skol27 ) }.
% 35.35/35.77 parent0[0]: (13) {G0,W10,D2,L2,V4,M2} I { ! cyclic( X, Y, Z, T ), cyclic( X
% 35.35/35.77 , Y, T, Z ) }.
% 35.35/35.77 parent1[0]: (7375) {G8,W5,D2,L1,V0,M1} R(7361,14) { cyclic( skol27, skol25
% 35.35/35.77 , skol27, skol25 ) }.
% 35.35/35.77 substitution0:
% 35.35/35.77 X := skol27
% 35.35/35.77 Y := skol25
% 35.35/35.77 Z := skol27
% 35.35/35.77 T := skol25
% 35.35/35.77 end
% 35.35/35.77 substitution1:
% 35.35/35.77 end
% 35.35/35.77
% 35.35/35.77 subsumption: (7381) {G9,W5,D2,L1,V0,M1} R(7375,13) { cyclic( skol27, skol25
% 35.35/35.77 , skol25, skol27 ) }.
% 35.35/35.77 parent0: (81930) {G1,W5,D2,L1,V0,M1} { cyclic( skol27, skol25, skol25,
% 35.35/35.77 skol27 ) }.
% 35.35/35.77 substitution0:
% 35.35/35.77 end
% 35.35/35.77 permutation0:
% 35.35/35.77 0 ==> 0
% 35.35/35.77 end
% 35.35/35.77
% 35.35/35.77 resolution: (81931) {G2,W14,D3,L3,V1,M3} { ! coll( skol27, skol27, skol25
% 35.35/35.77 ), ! coll( skol25, skol27, skol25 ), midp( skol7( skol27, X ), skol27, X
% 35.35/35.77 ) }.
% 35.35/35.77 parent0[0]: (143) {G1,W18,D3,L4,V4,M4} F(88) { ! midp( X, Y, Z ), ! coll( Y
% 35.35/35.77 , Y, Z ), ! coll( Z, Y, Z ), midp( skol7( Y, T ), Y, T ) }.
% 35.35/35.77 parent1[0]: (327) {G1,W4,D2,L1,V0,M1} R(10,118) { midp( skol23, skol27,
% 35.35/35.77 skol25 ) }.
% 35.35/35.77 substitution0:
% 35.35/35.77 X := skol23
% 35.35/35.77 Y := skol27
% 35.35/35.77 Z := skol25
% 35.35/35.77 T := X
% 35.35/35.77 end
% 35.35/35.77 substitution1:
% 35.35/35.77 end
% 35.35/35.77
% 35.35/35.77 resolution: (81932) {G3,W10,D3,L2,V1,M2} { ! coll( skol25, skol27, skol25
% 35.35/35.77 ), midp( skol7( skol27, X ), skol27, X ) }.
% 35.35/35.77 parent0[0]: (81931) {G2,W14,D3,L3,V1,M3} { ! coll( skol27, skol27, skol25
% 35.35/35.77 ), ! coll( skol25, skol27, skol25 ), midp( skol7( skol27, X ), skol27, X
% 35.35/35.77 ) }.
% 35.35/35.77 parent1[0]: (308) {G4,W4,D2,L1,V0,M1} R(235,0) { coll( skol27, skol27,
% 35.35/35.77 skol25 ) }.
% 35.35/35.77 substitution0:
% 35.35/35.77 X := X
% 35.35/35.77 end
% 35.35/35.77 substitution1:
% 35.35/35.77 end
% 35.35/35.77
% 35.35/35.77 subsumption: (8095) {G5,W10,D3,L2,V1,M2} R(143,327);r(308) { ! coll( skol25
% 35.35/35.77 , skol27, skol25 ), midp( skol7( skol27, X ), skol27, X ) }.
% 35.35/35.77 parent0: (81932) {G3,W10,D3,L2,V1,M2} { ! coll( skol25, skol27, skol25 ),
% 35.35/35.77 midp( skol7( skol27, X ), skol27, X ) }.
% 35.35/35.77 substitution0:
% 35.35/35.77 X := X
% 35.35/35.77 end
% 35.35/35.77 permutation0:
% 35.35/35.77 0 ==> 0
% 35.35/35.77 1 ==> 1
% 35.35/35.77 end
% 35.35/35.77
% 35.35/35.77 resolution: (81933) {G1,W14,D3,L3,V1,M3} { ! coll( skol26, skol26, skol25
% 35.35/35.77 ), ! coll( skol25, skol26, skol25 ), midp( skol7( skol26, X ), skol26, X
% 35.35/35.77 ) }.
% 35.35/35.77 parent0[0]: (143) {G1,W18,D3,L4,V4,M4} F(88) { ! midp( X, Y, Z ), ! coll( Y
% 35.35/35.77 , Y, Z ), ! coll( Z, Y, Z ), midp( skol7( Y, T ), Y, T ) }.
% 35.35/35.77 parent1[0]: (116) {G0,W4,D2,L1,V0,M1} I { midp( skol20, skol26, skol25 )
% 35.35/35.77 }.
% 35.35/35.77 substitution0:
% 35.35/35.77 X := skol20
% 35.35/35.77 Y := skol26
% 35.35/35.77 Z := skol25
% 35.35/35.77 T := X
% 35.35/35.77 end
% 35.35/35.77 substitution1:
% 35.35/35.77 end
% 35.35/35.77
% 35.35/35.77 resolution: (81934) {G2,W10,D3,L2,V1,M2} { ! coll( skol25, skol26, skol25
% 35.35/35.77 ), midp( skol7( skol26, X ), skol26, X ) }.
% 35.35/35.77 parent0[0]: (81933) {G1,W14,D3,L3,V1,M3} { ! coll( skol26, skol26, skol25
% 35.35/35.77 ), ! coll( skol25, skol26, skol25 ), midp( skol7( skol26, X ), skol26, X
% 35.35/35.77 ) }.
% 35.35/35.77 parent1[0]: (360) {G5,W4,D2,L1,V0,M1} R(241,0) { coll( skol26, skol26,
% 35.35/35.77 skol25 ) }.
% 35.35/35.77 substitution0:
% 35.35/35.77 X := X
% 35.35/35.77 end
% 35.35/35.77 substitution1:
% 35.35/35.77 end
% 35.35/35.77
% 35.35/35.77 subsumption: (8106) {G6,W10,D3,L2,V1,M2} R(143,116);r(360) { ! coll( skol25
% 35.35/35.77 , skol26, skol25 ), midp( skol7( skol26, X ), skol26, X ) }.
% 35.35/35.77 parent0: (81934) {G2,W10,D3,L2,V1,M2} { ! coll( skol25, skol26, skol25 ),
% 35.35/35.77 midp( skol7( skol26, X ), skol26, X ) }.
% 35.35/35.77 substitution0:
% 35.35/35.77 X := X
% 35.35/35.77 end
% 35.35/35.77 permutation0:
% 35.35/35.77 0 ==> 0
% 35.35/35.77 1 ==> 1
% 35.35/35.77 end
% 35.35/35.77
% 35.35/35.77 resolution: (81935) {G6,W6,D3,L1,V1,M1} { midp( skol7( skol27, X ), skol27
% 35.35/35.77 , X ) }.
% 35.35/35.77 parent0[0]: (8095) {G5,W10,D3,L2,V1,M2} R(143,327);r(308) { ! coll( skol25
% 35.35/35.77 , skol27, skol25 ), midp( skol7( skol27, X ), skol27, X ) }.
% 35.35/35.77 parent1[0]: (232) {G6,W4,D2,L1,V0,M1} R(196,225) { coll( skol25, skol27,
% 35.35/35.77 skol25 ) }.
% 35.35/35.77 substitution0:
% 35.35/35.77 X := X
% 35.35/35.77 end
% 35.35/35.77 substitution1:
% 35.35/35.77 end
% 35.35/35.77
% 35.35/35.77 subsumption: (20051) {G7,W6,D3,L1,V1,M1} S(8095);r(232) { midp( skol7(
% 35.35/35.77 skol27, X ), skol27, X ) }.
% 35.35/35.77 parent0: (81935) {G6,W6,D3,L1,V1,M1} { midp( skol7( skol27, X ), skol27, X
% 35.35/35.77 ) }.
% 35.35/35.77 substitution0:
% 35.35/35.77 X := X
% 35.35/35.77 end
% 35.35/35.77 permutation0:
% 35.35/35.77 0 ==> 0
% 35.35/35.77 end
% 35.35/35.77
% 35.35/35.77 resolution: (81936) {G4,W6,D3,L1,V1,M1} { midp( skol7( skol26, X ), skol26
% 35.35/35.77 , X ) }.
% 35.35/35.77 parent0[0]: (8106) {G6,W10,D3,L2,V1,M2} R(143,116);r(360) { ! coll( skol25
% 35.35/35.77 , skol26, skol25 ), midp( skol7( skol26, X ), skol26, X ) }.
% 35.35/35.77 parent1[0]: (238) {G3,W4,D2,L1,V0,M1} R(196,166) { coll( skol25, skol26,
% 35.35/35.77 skol25 ) }.
% 35.35/35.77 substitution0:
% 35.35/35.77 X := X
% 35.35/35.77 end
% 35.35/35.77 substitution1:
% 35.35/35.77 end
% 35.35/35.77
% 35.35/35.77 subsumption: (20053) {G7,W6,D3,L1,V1,M1} S(8106);r(238) { midp( skol7(
% 35.35/35.77 skol26, X ), skol26, X ) }.
% 35.35/35.77 parent0: (81936) {G4,W6,D3,L1,V1,M1} { midp( skol7( skol26, X ), skol26, X
% 35.35/35.77 ) }.
% 35.35/35.77 substitution0:
% 35.35/35.77 X := X
% 35.35/35.77 end
% 35.35/35.77 permutation0:
% 35.35/35.77 0 ==> 0
% 35.35/35.77 end
% 35.35/35.77
% 35.35/35.77 resolution: (81937) {G8,W4,D2,L1,V1,M1} { coll( skol27, skol27, X ) }.
% 35.35/35.77 parent0[0]: (520) {G10,W8,D2,L2,V3,M2} R(517,0) { ! midp( X, Y, Z ), coll(
% 35.35/35.77 Y, Y, Z ) }.
% 35.35/35.77 parent1[0]: (20051) {G7,W6,D3,L1,V1,M1} S(8095);r(232) { midp( skol7(
% 35.35/35.77 skol27, X ), skol27, X ) }.
% 35.35/35.77 substitution0:
% 35.35/35.77 X := skol7( skol27, X )
% 35.35/35.77 Y := skol27
% 35.35/35.77 Z := X
% 35.35/35.77 end
% 35.35/35.77 substitution1:
% 35.35/35.77 X := X
% 35.35/35.77 end
% 35.35/35.77
% 35.35/35.77 subsumption: (21147) {G11,W4,D2,L1,V1,M1} R(20051,520) { coll( skol27,
% 35.35/35.77 skol27, X ) }.
% 35.35/35.77 parent0: (81937) {G8,W4,D2,L1,V1,M1} { coll( skol27, skol27, X ) }.
% 35.35/35.77 substitution0:
% 35.35/35.77 X := X
% 35.35/35.77 end
% 35.35/35.77 permutation0:
% 35.35/35.77 0 ==> 0
% 35.35/35.77 end
% 35.35/35.77
% 35.35/35.77 resolution: (81938) {G2,W8,D2,L2,V2,M2} { ! coll( skol27, skol27, Y ),
% 35.35/35.77 coll( X, skol27, Y ) }.
% 35.35/35.77 parent0[0]: (195) {G1,W12,D2,L3,V4,M3} R(2,0) { ! coll( X, Y, Z ), ! coll(
% 35.35/35.77 X, Y, T ), coll( Z, X, T ) }.
% 35.35/35.77 parent1[0]: (21147) {G11,W4,D2,L1,V1,M1} R(20051,520) { coll( skol27,
% 35.35/35.77 skol27, X ) }.
% 35.35/35.77 substitution0:
% 35.35/35.77 X := skol27
% 35.35/35.77 Y := skol27
% 35.35/35.77 Z := X
% 35.35/35.77 T := Y
% 35.35/35.77 end
% 35.35/35.77 substitution1:
% 35.35/35.77 X := X
% 35.35/35.77 end
% 35.35/35.77
% 35.35/35.77 resolution: (81940) {G3,W4,D2,L1,V2,M1} { coll( Y, skol27, X ) }.
% 35.35/35.77 parent0[0]: (81938) {G2,W8,D2,L2,V2,M2} { ! coll( skol27, skol27, Y ),
% 35.35/35.77 coll( X, skol27, Y ) }.
% 35.35/35.77 parent1[0]: (21147) {G11,W4,D2,L1,V1,M1} R(20051,520) { coll( skol27,
% 35.35/35.77 skol27, X ) }.
% 35.35/35.77 substitution0:
% 35.35/35.77 X := Y
% 35.35/35.77 Y := X
% 35.35/35.77 end
% 35.35/35.77 substitution1:
% 35.35/35.77 X := X
% 35.35/35.77 end
% 35.35/35.77
% 35.35/35.77 subsumption: (21232) {G12,W4,D2,L1,V2,M1} R(21147,195);r(21147) { coll( Y,
% 35.35/35.77 skol27, X ) }.
% 35.35/35.77 parent0: (81940) {G3,W4,D2,L1,V2,M1} { coll( Y, skol27, X ) }.
% 35.35/35.77 substitution0:
% 35.35/35.77 X := X
% 35.35/35.77 Y := Y
% 35.35/35.77 end
% 35.35/35.77 permutation0:
% 35.35/35.77 0 ==> 0
% 35.35/35.77 end
% 35.35/35.77
% 35.35/35.77 resolution: (81941) {G2,W8,D2,L2,V3,M2} { ! coll( X, skol27, Z ), coll( Y
% 35.35/35.77 , X, Z ) }.
% 35.35/35.77 parent0[0]: (195) {G1,W12,D2,L3,V4,M3} R(2,0) { ! coll( X, Y, Z ), ! coll(
% 35.35/35.77 X, Y, T ), coll( Z, X, T ) }.
% 35.35/35.77 parent1[0]: (21232) {G12,W4,D2,L1,V2,M1} R(21147,195);r(21147) { coll( Y,
% 35.35/35.77 skol27, X ) }.
% 35.35/35.77 substitution0:
% 35.35/35.77 X := X
% 35.35/35.77 Y := skol27
% 35.35/35.77 Z := Y
% 35.35/35.77 T := Z
% 35.35/35.77 end
% 35.35/35.77 substitution1:
% 35.35/35.77 X := Y
% 35.35/35.77 Y := X
% 35.35/35.77 end
% 35.35/35.77
% 35.35/35.77 resolution: (81943) {G3,W4,D2,L1,V3,M1} { coll( Z, X, Y ) }.
% 35.35/35.77 parent0[0]: (81941) {G2,W8,D2,L2,V3,M2} { ! coll( X, skol27, Z ), coll( Y
% 35.35/35.77 , X, Z ) }.
% 35.35/35.77 parent1[0]: (21232) {G12,W4,D2,L1,V2,M1} R(21147,195);r(21147) { coll( Y,
% 35.35/35.77 skol27, X ) }.
% 35.35/35.77 substitution0:
% 35.35/35.77 X := X
% 35.35/35.77 Y := Z
% 35.35/35.77 Z := Y
% 35.35/35.77 end
% 35.35/35.77 substitution1:
% 35.35/35.77 X := Y
% 35.35/35.77 Y := X
% 35.35/35.77 end
% 35.35/35.77
% 35.35/35.77 subsumption: (21245) {G13,W4,D2,L1,V3,M1} R(21232,195);r(21232) { coll( Z,
% 35.35/35.77 X, Y ) }.
% 35.35/35.77 parent0: (81943) {G3,W4,D2,L1,V3,M1} { coll( Z, X, Y ) }.
% 35.35/35.77 substitution0:
% 35.35/35.77 X := X
% 35.35/35.77 Y := Y
% 35.35/35.77 Z := Z
% 35.35/35.77 end
% 35.35/35.77 permutation0:
% 35.35/35.77 0 ==> 0
% 35.35/35.77 end
% 35.35/35.77
% 35.35/35.77 resolution: (81944) {G1,W6,D3,L1,V1,M1} { midp( skol7( skol26, X ), X,
% 35.35/35.77 skol26 ) }.
% 35.35/35.77 parent0[0]: (10) {G0,W8,D2,L2,V3,M2} I { ! midp( Z, Y, X ), midp( Z, X, Y )
% 35.35/35.77 }.
% 35.35/35.77 parent1[0]: (20053) {G7,W6,D3,L1,V1,M1} S(8106);r(238) { midp( skol7(
% 35.35/35.77 skol26, X ), skol26, X ) }.
% 35.35/35.77 substitution0:
% 35.35/35.77 X := X
% 35.35/35.77 Y := skol26
% 35.35/35.77 Z := skol7( skol26, X )
% 35.35/35.77 end
% 35.35/35.77 substitution1:
% 35.35/35.77 X := X
% 35.35/35.77 end
% 35.35/35.77
% 35.35/35.77 subsumption: (21474) {G8,W6,D3,L1,V1,M1} R(20053,10) { midp( skol7( skol26
% 35.35/35.77 , X ), X, skol26 ) }.
% 35.35/35.77 parent0: (81944) {G1,W6,D3,L1,V1,M1} { midp( skol7( skol26, X ), X, skol26
% 35.35/35.77 ) }.
% 35.35/35.77 substitution0:
% 35.35/35.77 X := X
% 35.35/35.77 end
% 35.35/35.77 permutation0:
% 35.35/35.77 0 ==> 0
% 35.35/35.77 end
% 35.35/35.77
% 35.35/35.77 resolution: (81945) {G2,W14,D3,L3,V2,M3} { ! coll( X, X, skol26 ), ! coll
% 35.35/35.77 ( skol26, X, skol26 ), midp( skol7( X, Y ), X, Y ) }.
% 35.35/35.77 parent0[0]: (143) {G1,W18,D3,L4,V4,M4} F(88) { ! midp( X, Y, Z ), ! coll( Y
% 35.35/35.77 , Y, Z ), ! coll( Z, Y, Z ), midp( skol7( Y, T ), Y, T ) }.
% 35.35/35.77 parent1[0]: (21474) {G8,W6,D3,L1,V1,M1} R(20053,10) { midp( skol7( skol26,
% 35.35/35.77 X ), X, skol26 ) }.
% 35.35/35.77 substitution0:
% 35.35/35.77 X := skol7( skol26, X )
% 35.35/35.77 Y := X
% 35.35/35.77 Z := skol26
% 35.35/35.77 T := Y
% 35.35/35.77 end
% 35.35/35.77 substitution1:
% 35.35/35.77 X := X
% 35.35/35.77 end
% 35.35/35.77
% 35.35/35.77 resolution: (81948) {G3,W10,D3,L2,V2,M2} { ! coll( skol26, X, skol26 ),
% 35.35/35.77 midp( skol7( X, Y ), X, Y ) }.
% 35.35/35.77 parent0[0]: (81945) {G2,W14,D3,L3,V2,M3} { ! coll( X, X, skol26 ), ! coll
% 35.35/35.77 ( skol26, X, skol26 ), midp( skol7( X, Y ), X, Y ) }.
% 35.35/35.77 parent1[0]: (21245) {G13,W4,D2,L1,V3,M1} R(21232,195);r(21232) { coll( Z, X
% 35.35/35.77 , Y ) }.
% 35.35/35.77 substitution0:
% 35.35/35.77 X := X
% 35.35/35.77 Y := Y
% 35.35/35.77 end
% 35.35/35.77 substitution1:
% 35.35/35.77 X := X
% 35.35/35.77 Y := skol26
% 35.35/35.77 Z := X
% 35.35/35.77 end
% 35.35/35.77
% 35.35/35.77 subsumption: (21518) {G14,W10,D3,L2,V2,M2} R(21474,143);r(21245) { ! coll(
% 35.35/35.77 skol26, X, skol26 ), midp( skol7( X, Y ), X, Y ) }.
% 35.35/35.77 parent0: (81948) {G3,W10,D3,L2,V2,M2} { ! coll( skol26, X, skol26 ), midp
% 35.35/35.77 ( skol7( X, Y ), X, Y ) }.
% 35.35/35.77 substitution0:
% 35.35/35.77 X := X
% 35.35/35.77 Y := Y
% 35.35/35.77 end
% 35.35/35.77 permutation0:
% 35.35/35.77 0 ==> 0
% 35.35/35.77 1 ==> 1
% 35.35/35.77 end
% 35.35/35.77
% 35.35/35.77 resolution: (81950) {G2,W10,D2,L2,V3,M2} { cyclic( Z, Y, X, X ), ! para( X
% 35.35/35.77 , Z, X, Z ) }.
% 35.35/35.77 parent0[0]: (836) {G1,W14,D2,L3,V3,M3} R(42,39) { ! coll( X, X, Y ), cyclic
% 35.35/35.77 ( Z, Y, X, X ), ! para( X, Z, X, Z ) }.
% 35.35/35.77 parent1[0]: (21245) {G13,W4,D2,L1,V3,M1} R(21232,195);r(21232) { coll( Z, X
% 35.35/35.77 , Y ) }.
% 35.35/35.77 substitution0:
% 35.35/35.77 X := X
% 35.35/35.77 Y := Y
% 35.35/35.77 Z := Z
% 35.35/35.77 end
% 35.35/35.77 substitution1:
% 35.35/35.77 X := X
% 35.35/35.77 Y := Y
% 35.35/35.77 Z := X
% 35.35/35.77 end
% 35.35/35.77
% 35.35/35.77 subsumption: (26029) {G14,W10,D2,L2,V3,M2} S(836);r(21245) { cyclic( Z, Y,
% 35.35/35.77 X, X ), ! para( X, Z, X, Z ) }.
% 35.35/35.77 parent0: (81950) {G2,W10,D2,L2,V3,M2} { cyclic( Z, Y, X, X ), ! para( X, Z
% 35.35/35.77 , X, Z ) }.
% 35.35/35.77 substitution0:
% 35.35/35.77 X := X
% 35.35/35.77 Y := Y
% 35.35/35.77 Z := Z
% 35.35/35.77 end
% 35.35/35.77 permutation0:
% 35.35/35.77 0 ==> 0
% 35.35/35.77 1 ==> 1
% 35.35/35.77 end
% 35.35/35.77
% 35.35/35.77 resolution: (81951) {G3,W10,D2,L2,V0,M2} { ! cyclic( skol27, skol25,
% 35.35/35.77 skol25, skol27 ), cong( skol27, skol25, skol27, skol25 ) }.
% 35.35/35.77 parent0[1]: (1000) {G2,W15,D2,L3,V3,M3} F(968) { ! cyclic( X, Y, Z, X ), !
% 35.35/35.77 cyclic( X, Y, Z, Y ), cong( X, Y, X, Y ) }.
% 35.35/35.77 parent1[0]: (7330) {G3,W5,D2,L1,V0,M1} R(127,2435) { cyclic( skol27, skol25
% 35.35/35.77 , skol25, skol25 ) }.
% 35.35/35.77 substitution0:
% 35.35/35.77 X := skol27
% 35.35/35.77 Y := skol25
% 35.35/35.77 Z := skol25
% 35.35/35.77 end
% 35.35/35.77 substitution1:
% 35.35/35.77 end
% 35.35/35.77
% 35.35/35.77 resolution: (81952) {G4,W5,D2,L1,V0,M1} { cong( skol27, skol25, skol27,
% 35.35/35.77 skol25 ) }.
% 35.35/35.77 parent0[0]: (81951) {G3,W10,D2,L2,V0,M2} { ! cyclic( skol27, skol25,
% 35.35/35.77 skol25, skol27 ), cong( skol27, skol25, skol27, skol25 ) }.
% 35.35/35.77 parent1[0]: (7381) {G9,W5,D2,L1,V0,M1} R(7375,13) { cyclic( skol27, skol25
% 35.35/35.77 , skol25, skol27 ) }.
% 35.35/35.77 substitution0:
% 35.35/35.77 end
% 35.35/35.77 substitution1:
% 35.35/35.77 end
% 35.35/35.77
% 35.35/35.77 subsumption: (26946) {G10,W5,D2,L1,V0,M1} R(1000,7330);r(7381) { cong(
% 35.35/35.77 skol27, skol25, skol27, skol25 ) }.
% 35.35/35.77 parent0: (81952) {G4,W5,D2,L1,V0,M1} { cong( skol27, skol25, skol27,
% 35.35/35.77 skol25 ) }.
% 35.35/35.77 substitution0:
% 35.35/35.77 end
% 35.35/35.77 permutation0:
% 35.35/35.77 0 ==> 0
% 35.35/35.77 end
% 35.35/35.77
% 35.35/35.77 resolution: (81953) {G2,W10,D2,L2,V0,M2} { ! cyclic( skol27, skol27,
% 35.35/35.77 skol25, skol25 ), perp( skol25, skol27, skol27, skol25 ) }.
% 35.35/35.77 parent0[0]: (134) {G1,W15,D2,L3,V3,M3} F(57) { ! cong( X, Y, Z, Y ), !
% 35.35/35.77 cyclic( X, Z, Y, Y ), perp( Y, X, X, Y ) }.
% 35.35/35.77 parent1[0]: (26946) {G10,W5,D2,L1,V0,M1} R(1000,7330);r(7381) { cong(
% 35.35/35.77 skol27, skol25, skol27, skol25 ) }.
% 35.35/35.77 substitution0:
% 35.35/35.77 X := skol27
% 35.35/35.77 Y := skol25
% 35.35/35.77 Z := skol27
% 35.35/35.77 end
% 35.35/35.77 substitution1:
% 35.35/35.77 end
% 35.35/35.77
% 35.35/35.77 resolution: (81954) {G3,W5,D2,L1,V0,M1} { perp( skol25, skol27, skol27,
% 35.35/35.77 skol25 ) }.
% 35.35/35.77 parent0[0]: (81953) {G2,W10,D2,L2,V0,M2} { ! cyclic( skol27, skol27,
% 35.35/35.77 skol25, skol25 ), perp( skol25, skol27, skol27, skol25 ) }.
% 35.35/35.77 parent1[0]: (7361) {G7,W5,D2,L1,V0,M1} R(128,7354) { cyclic( skol27, skol27
% 35.35/35.77 , skol25, skol25 ) }.
% 35.35/35.77 substitution0:
% 35.35/35.77 end
% 35.35/35.77 substitution1:
% 35.35/35.77 end
% 35.35/35.77
% 35.35/35.77 subsumption: (28646) {G11,W5,D2,L1,V0,M1} R(26946,134);r(7361) { perp(
% 35.35/35.77 skol25, skol27, skol27, skol25 ) }.
% 35.35/35.77 parent0: (81954) {G3,W5,D2,L1,V0,M1} { perp( skol25, skol27, skol27,
% 35.35/35.77 skol25 ) }.
% 35.35/35.77 substitution0:
% 35.35/35.77 end
% 35.35/35.77 permutation0:
% 35.35/35.77 0 ==> 0
% 35.35/35.77 end
% 35.35/35.77
% 35.35/35.77 resolution: (81955) {G2,W5,D2,L1,V0,M1} { perp( skol27, skol25, skol27,
% 35.35/35.77 skol25 ) }.
% 35.35/35.77 parent0[0]: (283) {G1,W10,D2,L2,V4,M2} R(7,6) { ! perp( X, Y, Z, T ), perp
% 35.35/35.77 ( Z, T, Y, X ) }.
% 35.35/35.77 parent1[0]: (28646) {G11,W5,D2,L1,V0,M1} R(26946,134);r(7361) { perp(
% 35.35/35.77 skol25, skol27, skol27, skol25 ) }.
% 35.35/35.77 substitution0:
% 35.35/35.77 X := skol25
% 35.35/35.77 Y := skol27
% 35.35/35.77 Z := skol27
% 35.35/35.77 T := skol25
% 35.35/35.77 end
% 35.35/35.77 substitution1:
% 35.35/35.77 end
% 35.35/35.77
% 35.35/35.77 subsumption: (28696) {G12,W5,D2,L1,V0,M1} R(28646,283) { perp( skol27,
% 35.35/35.77 skol25, skol27, skol25 ) }.
% 35.35/35.77 parent0: (81955) {G2,W5,D2,L1,V0,M1} { perp( skol27, skol25, skol27,
% 35.35/35.77 skol25 ) }.
% 35.35/35.77 substitution0:
% 35.35/35.77 end
% 35.35/35.77 permutation0:
% 35.35/35.77 0 ==> 0
% 35.35/35.77 end
% 35.35/35.77
% 35.35/35.77 resolution: (81957) {G2,W10,D2,L2,V2,M2} { ! perp( X, Y, skol27, skol25 )
% 35.35/35.77 , para( skol27, skol25, X, Y ) }.
% 35.35/35.77 parent0[1]: (297) {G1,W15,D2,L3,V6,M3} R(8,4) { ! perp( X, Y, Z, T ), !
% 35.35/35.77 perp( Z, T, U, W ), para( U, W, X, Y ) }.
% 35.35/35.77 parent1[0]: (28696) {G12,W5,D2,L1,V0,M1} R(28646,283) { perp( skol27,
% 35.35/35.77 skol25, skol27, skol25 ) }.
% 35.35/35.77 substitution0:
% 35.35/35.77 X := X
% 35.35/35.77 Y := Y
% 35.35/35.77 Z := skol27
% 35.35/35.77 T := skol25
% 35.35/35.77 U := skol27
% 35.35/35.77 W := skol25
% 35.35/35.77 end
% 35.35/35.77 substitution1:
% 35.35/35.77 end
% 35.35/35.77
% 35.35/35.77 subsumption: (28752) {G13,W10,D2,L2,V2,M2} R(28696,297) { ! perp( X, Y,
% 35.35/35.77 skol27, skol25 ), para( skol27, skol25, X, Y ) }.
% 35.35/35.77 parent0: (81957) {G2,W10,D2,L2,V2,M2} { ! perp( X, Y, skol27, skol25 ),
% 35.35/35.77 para( skol27, skol25, X, Y ) }.
% 35.35/35.77 substitution0:
% 35.35/35.77 X := X
% 35.35/35.77 Y := Y
% 35.35/35.77 end
% 35.35/35.77 permutation0:
% 35.35/35.77 0 ==> 0
% 35.35/35.77 1 ==> 1
% 35.35/35.77 end
% 35.35/35.77
% 35.35/35.77 resolution: (81958) {G14,W6,D3,L1,V2,M1} { midp( skol7( X, Y ), X, Y ) }.
% 35.35/35.77 parent0[0]: (21518) {G14,W10,D3,L2,V2,M2} R(21474,143);r(21245) { ! coll(
% 35.35/35.77 skol26, X, skol26 ), midp( skol7( X, Y ), X, Y ) }.
% 35.35/35.77 parent1[0]: (21245) {G13,W4,D2,L1,V3,M1} R(21232,195);r(21232) { coll( Z, X
% 35.35/35.77 , Y ) }.
% 35.35/35.77 substitution0:
% 35.35/35.77 X := X
% 35.35/35.77 Y := Y
% 35.35/35.77 end
% 35.35/35.77 substitution1:
% 35.35/35.77 X := X
% 35.35/35.77 Y := skol26
% 35.35/35.77 Z := skol26
% 35.35/35.77 end
% 35.35/35.77
% 35.35/35.77 subsumption: (40136) {G15,W6,D3,L1,V2,M1} S(21518);r(21245) { midp( skol7(
% 35.35/35.77 X, Y ), X, Y ) }.
% 35.35/35.77 parent0: (81958) {G14,W6,D3,L1,V2,M1} { midp( skol7( X, Y ), X, Y ) }.
% 35.35/35.77 substitution0:
% 35.35/35.77 X := X
% 35.35/35.77 Y := Y
% 35.35/35.77 end
% 35.35/35.77 permutation0:
% 35.35/35.77 0 ==> 0
% 35.35/35.77 end
% 35.35/35.77
% 35.35/35.77 resolution: (81959) {G2,W5,D2,L1,V0,M1} { perp( skol27, skol25, skol25,
% 35.35/35.77 skol26 ) }.
% 35.35/35.77 parent0[0]: (1542) {G1,W9,D2,L2,V0,M2} R(53,119) { ! coll( skol24, skol27,
% 35.35/35.77 skol26 ), perp( skol27, skol25, skol25, skol26 ) }.
% 35.35/35.77 parent1[0]: (21245) {G13,W4,D2,L1,V3,M1} R(21232,195);r(21232) { coll( Z, X
% 35.35/35.77 , Y ) }.
% 35.35/35.77 substitution0:
% 35.35/35.77 end
% 35.35/35.77 substitution1:
% 35.35/35.77 X := skol27
% 35.35/35.77 Y := skol26
% 35.35/35.77 Z := skol24
% 35.35/35.77 end
% 35.35/35.77
% 35.35/35.77 subsumption: (40242) {G14,W5,D2,L1,V0,M1} S(1542);r(21245) { perp( skol27,
% 35.35/35.77 skol25, skol25, skol26 ) }.
% 35.35/35.77 parent0: (81959) {G2,W5,D2,L1,V0,M1} { perp( skol27, skol25, skol25,
% 35.35/35.77 skol26 ) }.
% 35.35/35.77 substitution0:
% 35.35/35.77 end
% 35.35/35.77 permutation0:
% 35.35/35.77 0 ==> 0
% 35.35/35.77 end
% 35.35/35.77
% 35.35/35.77 resolution: (81960) {G3,W5,D2,L1,V0,M1} { cong( skol27, skol22, skol25,
% 35.35/35.77 skol22 ) }.
% 35.35/35.77 parent0[0]: (1317) {G2,W10,D2,L2,V1,M2} R(52,326) { ! perp( skol27, X, X,
% 35.35/35.77 skol26 ), cong( skol27, skol22, X, skol22 ) }.
% 35.35/35.77 parent1[0]: (40242) {G14,W5,D2,L1,V0,M1} S(1542);r(21245) { perp( skol27,
% 35.35/35.77 skol25, skol25, skol26 ) }.
% 35.35/35.77 substitution0:
% 35.35/35.77 X := skol25
% 35.35/35.77 end
% 35.35/35.77 substitution1:
% 35.35/35.77 end
% 35.35/35.77
% 35.35/35.77 subsumption: (40422) {G15,W5,D2,L1,V0,M1} R(40242,1317) { cong( skol27,
% 35.35/35.77 skol22, skol25, skol22 ) }.
% 35.35/35.77 parent0: (81960) {G3,W5,D2,L1,V0,M1} { cong( skol27, skol22, skol25,
% 35.35/35.77 skol22 ) }.
% 35.35/35.77 substitution0:
% 35.35/35.77 end
% 35.35/35.77 permutation0:
% 35.35/35.77 0 ==> 0
% 35.35/35.77 end
% 35.35/35.77
% 35.35/35.77 resolution: (81961) {G1,W5,D2,L1,V0,M1} { cong( skol25, skol22, skol27,
% 35.35/35.77 skol22 ) }.
% 35.35/35.77 parent0[0]: (23) {G0,W10,D2,L2,V4,M2} I { ! cong( X, Y, Z, T ), cong( Z, T
% 35.35/35.77 , X, Y ) }.
% 35.35/35.77 parent1[0]: (40422) {G15,W5,D2,L1,V0,M1} R(40242,1317) { cong( skol27,
% 35.35/35.77 skol22, skol25, skol22 ) }.
% 35.35/35.77 substitution0:
% 35.35/35.77 X := skol27
% 35.35/35.77 Y := skol22
% 35.35/35.77 Z := skol25
% 35.35/35.77 T := skol22
% 35.35/35.77 end
% 35.35/35.77 substitution1:
% 35.35/35.77 end
% 35.35/35.77
% 35.35/35.77 subsumption: (40624) {G16,W5,D2,L1,V0,M1} R(40422,23) { cong( skol25,
% 35.35/35.77 skol22, skol27, skol22 ) }.
% 35.35/35.77 parent0: (81961) {G1,W5,D2,L1,V0,M1} { cong( skol25, skol22, skol27,
% 35.35/35.77 skol22 ) }.
% 35.35/35.77 substitution0:
% 35.35/35.77 end
% 35.35/35.77 permutation0:
% 35.35/35.77 0 ==> 0
% 35.35/35.77 end
% 35.35/35.77
% 35.35/35.77 resolution: (81962) {G1,W6,D3,L1,V2,M1} { midp( skol7( X, Y ), Y, X ) }.
% 35.35/35.77 parent0[0]: (10) {G0,W8,D2,L2,V3,M2} I { ! midp( Z, Y, X ), midp( Z, X, Y )
% 35.35/35.77 }.
% 35.35/35.77 parent1[0]: (40136) {G15,W6,D3,L1,V2,M1} S(21518);r(21245) { midp( skol7( X
% 35.35/35.77 , Y ), X, Y ) }.
% 35.35/35.77 substitution0:
% 35.35/35.77 X := Y
% 35.35/35.77 Y := X
% 35.35/35.77 Z := skol7( X, Y )
% 35.35/35.77 end
% 35.35/35.77 substitution1:
% 35.35/35.77 X := X
% 35.35/35.77 Y := Y
% 35.35/35.77 end
% 35.35/35.77
% 35.35/35.77 subsumption: (42715) {G16,W6,D3,L1,V2,M1} R(40136,10) { midp( skol7( X, Y )
% 35.35/35.77 , Y, X ) }.
% 35.35/35.77 parent0: (81962) {G1,W6,D3,L1,V2,M1} { midp( skol7( X, Y ), Y, X ) }.
% 35.35/35.77 substitution0:
% 35.35/35.77 X := X
% 35.35/35.77 Y := Y
% 35.35/35.77 end
% 35.35/35.77 permutation0:
% 35.35/35.77 0 ==> 0
% 35.35/35.77 end
% 35.35/35.77
% 35.35/35.77 resolution: (81963) {G3,W5,D2,L1,V2,M1} { para( Y, X, X, Y ) }.
% 35.35/35.77 parent0[0]: (1916) {G2,W9,D2,L2,V3,M2} F(1900) { ! midp( X, Y, Z ), para( Y
% 35.35/35.77 , Z, Z, Y ) }.
% 35.35/35.77 parent1[0]: (42715) {G16,W6,D3,L1,V2,M1} R(40136,10) { midp( skol7( X, Y )
% 35.35/35.77 , Y, X ) }.
% 35.35/35.77 substitution0:
% 35.35/35.77 X := skol7( X, Y )
% 35.35/35.77 Y := Y
% 35.35/35.77 Z := X
% 35.35/35.77 end
% 35.35/35.77 substitution1:
% 35.35/35.77 X := X
% 35.35/35.77 Y := Y
% 35.35/35.77 end
% 35.35/35.77
% 35.35/35.77 subsumption: (65266) {G17,W5,D2,L1,V2,M1} R(1916,42715) { para( X, Y, Y, X
% 35.35/35.77 ) }.
% 35.35/35.77 parent0: (81963) {G3,W5,D2,L1,V2,M1} { para( Y, X, X, Y ) }.
% 35.35/35.77 substitution0:
% 35.35/35.77 X := Y
% 35.35/35.77 Y := X
% 35.35/35.77 end
% 35.35/35.77 permutation0:
% 35.35/35.77 0 ==> 0
% 35.35/35.77 end
% 35.35/35.77
% 35.35/35.77 resolution: (81964) {G2,W5,D2,L1,V2,M1} { para( Y, X, Y, X ) }.
% 35.35/35.77 parent0[0]: (222) {G1,W10,D2,L2,V4,M2} R(4,3) { ! para( X, Y, Z, T ), para
% 35.35/35.77 ( Z, T, Y, X ) }.
% 35.35/35.77 parent1[0]: (65266) {G17,W5,D2,L1,V2,M1} R(1916,42715) { para( X, Y, Y, X )
% 35.35/35.77 }.
% 35.35/35.77 substitution0:
% 35.35/35.77 X := X
% 35.35/35.77 Y := Y
% 35.35/35.77 Z := Y
% 35.35/35.77 T := X
% 35.35/35.77 end
% 35.35/35.77 substitution1:
% 35.35/35.77 X := X
% 35.35/35.77 Y := Y
% 35.35/35.77 end
% 35.35/35.77
% 35.35/35.77 subsumption: (65279) {G18,W5,D2,L1,V2,M1} R(65266,222) { para( X, Y, X, Y )
% 35.35/35.77 }.
% 35.35/35.77 parent0: (81964) {G2,W5,D2,L1,V2,M1} { para( Y, X, Y, X ) }.
% 35.35/35.77 substitution0:
% 35.35/35.77 X := Y
% 35.35/35.77 Y := X
% 35.35/35.77 end
% 35.35/35.77 permutation0:
% 35.35/35.77 0 ==> 0
% 35.35/35.77 end
% 35.35/35.77
% 35.35/35.77 resolution: (81965) {G7,W5,D2,L1,V0,M1} { perp( skol25, skol27, skol23,
% 35.35/35.77 skol22 ) }.
% 35.35/35.77 parent0[0]: (2469) {G6,W10,D2,L2,V1,M2} R(2465,56) { ! cong( skol25, X,
% 35.35/35.77 skol27, X ), perp( skol25, skol27, skol23, X ) }.
% 35.35/35.77 parent1[0]: (40624) {G16,W5,D2,L1,V0,M1} R(40422,23) { cong( skol25, skol22
% 35.35/35.77 , skol27, skol22 ) }.
% 35.35/35.77 substitution0:
% 35.35/35.77 X := skol22
% 35.35/35.77 end
% 35.35/35.77 substitution1:
% 35.35/35.77 end
% 35.35/35.77
% 35.35/35.77 subsumption: (78371) {G17,W5,D2,L1,V0,M1} R(2469,40624) { perp( skol25,
% 35.35/35.77 skol27, skol23, skol22 ) }.
% 35.35/35.77 parent0: (81965) {G7,W5,D2,L1,V0,M1} { perp( skol25, skol27, skol23,
% 35.35/35.77 skol22 ) }.
% 35.35/35.77 substitution0:
% 35.35/35.77 end
% 35.35/35.77 permutation0:
% 35.35/35.77 0 ==> 0
% 35.35/35.77 end
% 35.35/35.77
% 35.35/35.77 resolution: (81966) {G2,W5,D2,L1,V0,M1} { perp( skol23, skol22, skol27,
% 35.35/35.77 skol25 ) }.
% 35.35/35.77 parent0[0]: (283) {G1,W10,D2,L2,V4,M2} R(7,6) { ! perp( X, Y, Z, T ), perp
% 35.35/35.77 ( Z, T, Y, X ) }.
% 35.35/35.77 parent1[0]: (78371) {G17,W5,D2,L1,V0,M1} R(2469,40624) { perp( skol25,
% 35.35/35.77 skol27, skol23, skol22 ) }.
% 35.35/35.77 substitution0:
% 35.35/35.77 X := skol25
% 35.35/35.77 Y := skol27
% 35.35/35.77 Z := skol23
% 35.35/35.77 T := skol22
% 35.35/35.77 end
% 35.35/35.77 substitution1:
% 35.35/35.77 end
% 35.35/35.77
% 35.35/35.77 subsumption: (78444) {G18,W5,D2,L1,V0,M1} R(78371,283) { perp( skol23,
% 35.35/35.77 skol22, skol27, skol25 ) }.
% 35.35/35.77 parent0: (81966) {G2,W5,D2,L1,V0,M1} { perp( skol23, skol22, skol27,
% 35.35/35.77 skol25 ) }.
% 35.35/35.77 substitution0:
% 35.35/35.77 end
% 35.35/35.77 permutation0:
% 35.35/35.77 0 ==> 0
% 35.35/35.77 end
% 35.35/35.77
% 35.35/35.77 resolution: (81967) {G2,W5,D2,L1,V0,M1} { perp( skol27, skol25, skol22,
% 35.35/35.77 skol23 ) }.
% 35.35/35.77 parent0[0]: (283) {G1,W10,D2,L2,V4,M2} R(7,6) { ! perp( X, Y, Z, T ), perp
% 35.35/35.77 ( Z, T, Y, X ) }.
% 35.35/35.77 parent1[0]: (78444) {G18,W5,D2,L1,V0,M1} R(78371,283) { perp( skol23,
% 35.35/35.77 skol22, skol27, skol25 ) }.
% 35.35/35.77 substitution0:
% 35.35/35.77 X := skol23
% 35.35/35.77 Y := skol22
% 35.35/35.77 Z := skol27
% 35.35/35.77 T := skol25
% 35.35/35.77 end
% 35.35/35.77 substitution1:
% 35.35/35.77 end
% 35.35/35.77
% 35.35/35.77 subsumption: (78485) {G19,W5,D2,L1,V0,M1} R(78444,283) { perp( skol27,
% 35.35/35.77 skol25, skol22, skol23 ) }.
% 35.35/35.77 parent0: (81967) {G2,W5,D2,L1,V0,M1} { perp( skol27, skol25, skol22,
% 35.35/35.77 skol23 ) }.
% 35.35/35.77 substitution0:
% 35.35/35.77 end
% 35.35/35.77 permutation0:
% 35.35/35.77 0 ==> 0
% 35.35/35.77 end
% 35.35/35.77
% 35.35/35.77 resolution: (81968) {G5,W5,D2,L1,V0,M1} { ! para( skol20, skol24, skol27,
% 35.35/35.77 skol25 ) }.
% 35.35/35.77 parent0[1]: (455) {G4,W10,D2,L2,V2,M2} R(454,9) { ! para( skol20, skol24, X
% 35.35/35.77 , Y ), ! perp( X, Y, skol22, skol23 ) }.
% 35.35/35.77 parent1[0]: (78485) {G19,W5,D2,L1,V0,M1} R(78444,283) { perp( skol27,
% 35.35/35.77 skol25, skol22, skol23 ) }.
% 35.35/35.77 substitution0:
% 35.35/35.77 X := skol27
% 35.35/35.77 Y := skol25
% 35.35/35.77 end
% 35.35/35.77 substitution1:
% 35.35/35.77 end
% 35.35/35.77
% 35.35/35.77 subsumption: (78511) {G20,W5,D2,L1,V0,M1} R(78485,455) { ! para( skol20,
% 35.35/35.77 skol24, skol27, skol25 ) }.
% 35.35/35.77 parent0: (81968) {G5,W5,D2,L1,V0,M1} { ! para( skol20, skol24, skol27,
% 35.35/35.77 skol25 ) }.
% 35.35/35.77 substitution0:
% 35.35/35.77 end
% 35.35/35.77 permutation0:
% 35.35/35.77 0 ==> 0
% 35.35/35.77 end
% 35.35/35.77
% 35.35/35.77 resolution: (81969) {G2,W15,D2,L3,V4,M3} { ! para( X, Y, Z, T ), ! perp( Z
% 35.35/35.77 , T, skol27, skol25 ), ! perp( skol20, skol24, X, Y ) }.
% 35.35/35.77 parent0[0]: (78511) {G20,W5,D2,L1,V0,M1} R(78485,455) { ! para( skol20,
% 35.35/35.77 skol24, skol27, skol25 ) }.
% 35.35/35.77 parent1[3]: (311) {G1,W20,D2,L4,V8,M4} R(9,8) { ! para( X, Y, Z, T ), !
% 35.35/35.77 perp( Z, T, U, W ), ! perp( V0, V1, X, Y ), para( V0, V1, U, W ) }.
% 35.35/35.77 substitution0:
% 35.35/35.77 end
% 35.35/35.77 substitution1:
% 35.35/35.77 X := X
% 35.35/35.77 Y := Y
% 35.35/35.77 Z := Z
% 35.35/35.77 T := T
% 35.35/35.77 U := skol27
% 35.35/35.77 W := skol25
% 35.35/35.77 V0 := skol20
% 35.35/35.77 V1 := skol24
% 35.35/35.77 end
% 35.35/35.77
% 35.35/35.77 subsumption: (78561) {G21,W15,D2,L3,V4,M3} R(78511,311) { ! para( X, Y, Z,
% 35.35/35.77 T ), ! perp( Z, T, skol27, skol25 ), ! perp( skol20, skol24, X, Y ) }.
% 35.35/35.77 parent0: (81969) {G2,W15,D2,L3,V4,M3} { ! para( X, Y, Z, T ), ! perp( Z, T
% 35.35/35.77 , skol27, skol25 ), ! perp( skol20, skol24, X, Y ) }.
% 35.35/35.77 substitution0:
% 35.35/35.77 X := X
% 35.35/35.77 Y := Y
% 35.35/35.77 Z := Z
% 35.35/35.77 T := T
% 35.35/35.77 end
% 35.35/35.77 permutation0:
% 35.35/35.77 0 ==> 0
% 35.35/35.77 1 ==> 1
% 35.35/35.77 2 ==> 2
% 35.35/35.77 end
% 35.35/35.77
% 35.35/35.77 factor: (81971) {G21,W10,D2,L2,V0,M2} { ! para( skol27, skol25, skol20,
% 35.35/35.77 skol24 ), ! perp( skol20, skol24, skol27, skol25 ) }.
% 35.35/35.77 parent0[1, 2]: (78561) {G21,W15,D2,L3,V4,M3} R(78511,311) { ! para( X, Y, Z
% 35.35/35.77 , T ), ! perp( Z, T, skol27, skol25 ), ! perp( skol20, skol24, X, Y ) }.
% 35.35/35.77 substitution0:
% 35.35/35.77 X := skol27
% 35.35/35.77 Y := skol25
% 35.35/35.77 Z := skol20
% 35.35/35.77 T := skol24
% 35.35/35.77 end
% 35.35/35.77
% 35.35/35.77 resolution: (81972) {G14,W10,D2,L2,V0,M2} { ! perp( skol20, skol24, skol27
% 35.35/35.77 , skol25 ), ! perp( skol20, skol24, skol27, skol25 ) }.
% 35.35/35.77 parent0[0]: (81971) {G21,W10,D2,L2,V0,M2} { ! para( skol27, skol25, skol20
% 35.35/35.77 , skol24 ), ! perp( skol20, skol24, skol27, skol25 ) }.
% 35.35/35.77 parent1[1]: (28752) {G13,W10,D2,L2,V2,M2} R(28696,297) { ! perp( X, Y,
% 35.35/35.77 skol27, skol25 ), para( skol27, skol25, X, Y ) }.
% 35.35/35.77 substitution0:
% 35.35/35.77 end
% 35.35/35.77 substitution1:
% 35.35/35.77 X := skol20
% 35.35/35.77 Y := skol24
% 35.35/35.77 end
% 35.35/35.77
% 35.35/35.77 factor: (81973) {G14,W5,D2,L1,V0,M1} { ! perp( skol20, skol24, skol27,
% 35.35/35.77 skol25 ) }.
% 35.35/35.77 parent0[0, 1]: (81972) {G14,W10,D2,L2,V0,M2} { ! perp( skol20, skol24,
% 35.35/35.78 skol27, skol25 ), ! perp( skol20, skol24, skol27, skol25 ) }.
% 35.35/35.78 substitution0:
% 35.35/35.78 end
% 35.35/35.78
% 35.35/35.78 subsumption: (78585) {G22,W5,D2,L1,V0,M1} F(78561);r(28752) { ! perp(
% 35.35/35.78 skol20, skol24, skol27, skol25 ) }.
% 35.35/35.78 parent0: (81973) {G14,W5,D2,L1,V0,M1} { ! perp( skol20, skol24, skol27,
% 35.35/35.78 skol25 ) }.
% 35.35/35.78 substitution0:
% 35.35/35.78 end
% 35.35/35.78 permutation0:
% 35.35/35.78 0 ==> 0
% 35.35/35.78 end
% 35.35/35.78
% 35.35/35.78 resolution: (81974) {G1,W5,D2,L1,V0,M1} { ! perp( skol20, skol24, skol25,
% 35.35/35.78 skol27 ) }.
% 35.35/35.78 parent0[0]: (78585) {G22,W5,D2,L1,V0,M1} F(78561);r(28752) { ! perp( skol20
% 35.35/35.78 , skol24, skol27, skol25 ) }.
% 35.35/35.78 parent1[1]: (6) {G0,W10,D2,L2,V4,M2} I { ! perp( X, Y, Z, T ), perp( X, Y,
% 35.35/35.78 T, Z ) }.
% 35.35/35.78 substitution0:
% 35.35/35.78 end
% 35.35/35.78 substitution1:
% 35.35/35.78 X := skol20
% 35.35/35.78 Y := skol24
% 35.35/35.78 Z := skol25
% 35.35/35.78 T := skol27
% 35.35/35.78 end
% 35.35/35.78
% 35.35/35.78 subsumption: (78656) {G23,W5,D2,L1,V0,M1} R(78585,6) { ! perp( skol20,
% 35.35/35.78 skol24, skol25, skol27 ) }.
% 35.35/35.78 parent0: (81974) {G1,W5,D2,L1,V0,M1} { ! perp( skol20, skol24, skol25,
% 35.35/35.78 skol27 ) }.
% 35.35/35.78 substitution0:
% 35.35/35.78 end
% 35.35/35.78 permutation0:
% 35.35/35.78 0 ==> 0
% 35.35/35.78 end
% 35.35/35.78
% 35.35/35.78 resolution: (81975) {G15,W5,D2,L1,V3,M1} { cyclic( X, Y, Z, Z ) }.
% 35.35/35.78 parent0[1]: (26029) {G14,W10,D2,L2,V3,M2} S(836);r(21245) { cyclic( Z, Y, X
% 35.35/35.78 , X ), ! para( X, Z, X, Z ) }.
% 35.35/35.78 parent1[0]: (65279) {G18,W5,D2,L1,V2,M1} R(65266,222) { para( X, Y, X, Y )
% 35.35/35.78 }.
% 35.35/35.78 substitution0:
% 35.35/35.78 X := Z
% 35.35/35.78 Y := Y
% 35.35/35.78 Z := X
% 35.35/35.78 end
% 35.35/35.78 substitution1:
% 35.35/35.78 X := Z
% 35.35/35.78 Y := X
% 35.35/35.78 end
% 35.35/35.78
% 35.35/35.78 subsumption: (80411) {G19,W5,D2,L1,V3,M1} S(26029);r(65279) { cyclic( Z, Y
% 35.35/35.78 , X, X ) }.
% 35.35/35.78 parent0: (81975) {G15,W5,D2,L1,V3,M1} { cyclic( X, Y, Z, Z ) }.
% 35.35/35.78 substitution0:
% 35.35/35.78 X := Z
% 35.35/35.78 Y := Y
% 35.35/35.78 Z := X
% 35.35/35.78 end
% 35.35/35.78 permutation0:
% 35.35/35.78 0 ==> 0
% 35.35/35.78 end
% 35.35/35.78
% 35.35/35.78 resolution: (81976) {G2,W5,D2,L1,V3,M1} { cyclic( Y, Z, X, Z ) }.
% 35.35/35.78 parent0[0]: (363) {G1,W10,D2,L2,V4,M2} R(15,14) { ! cyclic( X, Y, Z, T ),
% 35.35/35.78 cyclic( Y, Z, X, T ) }.
% 35.35/35.78 parent1[0]: (80411) {G19,W5,D2,L1,V3,M1} S(26029);r(65279) { cyclic( Z, Y,
% 35.35/35.78 X, X ) }.
% 35.35/35.78 substitution0:
% 35.35/35.78 X := X
% 35.35/35.78 Y := Y
% 35.35/35.78 Z := Z
% 35.35/35.78 T := Z
% 35.35/35.78 end
% 35.35/35.78 substitution1:
% 35.35/35.78 X := Z
% 35.35/35.78 Y := Y
% 35.35/35.78 Z := X
% 35.35/35.78 end
% 35.35/35.78
% 35.35/35.78 subsumption: (80480) {G20,W5,D2,L1,V3,M1} R(80411,363) { cyclic( X, Y, Z, Y
% 35.35/35.78 ) }.
% 35.35/35.78 parent0: (81976) {G2,W5,D2,L1,V3,M1} { cyclic( Y, Z, X, Z ) }.
% 35.35/35.78 substitution0:
% 35.35/35.78 X := Z
% 35.35/35.78 Y := X
% 35.35/35.78 Z := Y
% 35.35/35.78 end
% 35.35/35.78 permutation0:
% 35.35/35.78 0 ==> 0
% 35.35/35.78 end
% 35.35/35.78
% 35.35/35.78 resolution: (81977) {G2,W5,D2,L1,V3,M1} { cyclic( X, Y, Z, X ) }.
% 35.35/35.78 parent0[1]: (362) {G1,W10,D2,L2,V4,M2} R(15,14) { cyclic( X, Y, Z, T ), !
% 35.35/35.78 cyclic( Y, Z, X, T ) }.
% 35.35/35.78 parent1[0]: (80411) {G19,W5,D2,L1,V3,M1} S(26029);r(65279) { cyclic( Z, Y,
% 35.35/35.78 X, X ) }.
% 35.35/35.78 substitution0:
% 35.35/35.78 X := X
% 35.35/35.78 Y := Y
% 35.35/35.78 Z := Z
% 35.35/35.78 T := X
% 35.35/35.78 end
% 35.35/35.78 substitution1:
% 35.35/35.78 X := X
% 35.35/35.78 Y := Z
% 35.35/35.78 Z := Y
% 35.35/35.78 end
% 35.35/35.78
% 35.35/35.78 subsumption: (80481) {G20,W5,D2,L1,V3,M1} R(80411,362) { cyclic( X, Y, Z, X
% 35.35/35.78 ) }.
% 35.35/35.78 parent0: (81977) {G2,W5,D2,L1,V3,M1} { cyclic( X, Y, Z, X ) }.
% 35.35/35.78 substitution0:
% 35.35/35.78 X := X
% 35.35/35.78 Y := Y
% 35.35/35.78 Z := Z
% 35.35/35.78 end
% 35.35/35.78 permutation0:
% 35.35/35.78 0 ==> 0
% 35.35/35.78 end
% 35.35/35.78
% 35.35/35.78 resolution: (81979) {G3,W10,D2,L2,V3,M2} { ! cyclic( X, Y, Z, X ), cong( X
% 35.35/35.78 , Y, X, Y ) }.
% 35.35/35.78 parent0[1]: (1000) {G2,W15,D2,L3,V3,M3} F(968) { ! cyclic( X, Y, Z, X ), !
% 35.35/35.78 cyclic( X, Y, Z, Y ), cong( X, Y, X, Y ) }.
% 35.35/35.78 parent1[0]: (80480) {G20,W5,D2,L1,V3,M1} R(80411,363) { cyclic( X, Y, Z, Y
% 35.35/35.78 ) }.
% 35.35/35.78 substitution0:
% 35.35/35.78 X := X
% 35.35/35.78 Y := Y
% 35.35/35.78 Z := Z
% 35.35/35.78 end
% 35.35/35.78 substitution1:
% 35.35/35.78 X := X
% 35.35/35.78 Y := Y
% 35.35/35.78 Z := Z
% 35.35/35.78 end
% 35.35/35.78
% 35.35/35.78 resolution: (81981) {G4,W5,D2,L1,V2,M1} { cong( X, Y, X, Y ) }.
% 35.35/35.78 parent0[0]: (81979) {G3,W10,D2,L2,V3,M2} { ! cyclic( X, Y, Z, X ), cong( X
% 35.35/35.78 , Y, X, Y ) }.
% 35.35/35.78 parent1[0]: (80481) {G20,W5,D2,L1,V3,M1} R(80411,362) { cyclic( X, Y, Z, X
% 35.35/35.78 ) }.
% 35.35/35.78 substitution0:
% 35.35/35.78 X := X
% 35.35/35.78 Y := Y
% 35.35/35.78 Z := Z
% 35.35/35.78 end
% 35.35/35.78 substitution1:
% 35.35/35.78 X := X
% 35.35/35.78 Y := Y
% 35.35/35.78 Z := Z
% 35.35/35.78 end
% 35.35/35.78
% 35.35/35.78 subsumption: (80497) {G21,W5,D2,L1,V2,M1} R(80480,1000);r(80481) { cong( X
% 35.35/35.78 , Y, X, Y ) }.
% 35.35/35.78 parent0: (81981) {G4,W5,D2,L1,V2,M1} { cong( X, Y, X, Y ) }.
% 35.35/35.78 substitution0:
% 35.35/35.78 X := X
% 35.35/35.78 Y := Y
% 35.35/35.78 end
% 35.35/35.78 permutation0:
% 35.35/35.78 0 ==> 0
% 35.35/35.78 end
% 35.35/35.78
% 35.35/35.78 resolution: (81982) {G2,W10,D2,L2,V3,M2} { ! cong( X, Z, X, Z ), perp( Y,
% 35.35/35.78 Z, X, X ) }.
% 35.35/35.78 parent0[0]: (1640) {G1,W15,D2,L3,V4,M3} R(56,7) { ! cong( X, Y, Z, Y ), !
% 35.35/35.78 cong( X, T, Z, T ), perp( Y, T, X, Z ) }.
% 35.35/35.78 parent1[0]: (80497) {G21,W5,D2,L1,V2,M1} R(80480,1000);r(80481) { cong( X,
% 35.35/35.78 Y, X, Y ) }.
% 35.35/35.78 substitution0:
% 35.35/35.78 X := X
% 35.35/35.78 Y := Y
% 35.35/35.78 Z := X
% 35.35/35.78 T := Z
% 35.35/35.78 end
% 35.35/35.78 substitution1:
% 35.35/35.78 X := X
% 35.35/35.78 Y := Y
% 35.35/35.78 end
% 35.35/35.78
% 35.35/35.78 resolution: (81984) {G3,W5,D2,L1,V3,M1} { perp( Z, Y, X, X ) }.
% 35.35/35.78 parent0[0]: (81982) {G2,W10,D2,L2,V3,M2} { ! cong( X, Z, X, Z ), perp( Y,
% 35.35/35.78 Z, X, X ) }.
% 35.35/35.78 parent1[0]: (80497) {G21,W5,D2,L1,V2,M1} R(80480,1000);r(80481) { cong( X,
% 35.35/35.78 Y, X, Y ) }.
% 35.35/35.78 substitution0:
% 35.35/35.78 X := X
% 35.35/35.78 Y := Z
% 35.35/35.78 Z := Y
% 35.35/35.78 end
% 35.35/35.78 substitution1:
% 35.35/35.78 X := X
% 35.35/35.78 Y := Y
% 35.35/35.78 end
% 35.35/35.78
% 35.35/35.78 subsumption: (81094) {G22,W5,D2,L1,V3,M1} R(80497,1640);r(80497) { perp( Z
% 35.35/35.78 , Y, X, X ) }.
% 35.35/35.78 parent0: (81984) {G3,W5,D2,L1,V3,M1} { perp( Z, Y, X, X ) }.
% 35.35/35.78 substitution0:
% 35.35/35.78 X := X
% 35.35/35.78 Y := Y
% 35.35/35.78 Z := Z
% 35.35/35.78 end
% 35.35/35.78 permutation0:
% 35.35/35.78 0 ==> 0
% 35.35/35.78 end
% 35.35/35.78
% 35.35/35.78 resolution: (81985) {G3,W10,D2,L2,V4,M2} { ! cong( X, Y, X, Y ), para( Z,
% 35.35/35.78 T, Y, Y ) }.
% 35.35/35.78 parent0[1]: (1642) {G2,W15,D2,L3,V5,M3} F(1639) { ! cong( X, Y, Z, Y ), !
% 35.35/35.78 perp( T, U, X, Z ), para( T, U, Y, Y ) }.
% 35.35/35.78 parent1[0]: (81094) {G22,W5,D2,L1,V3,M1} R(80497,1640);r(80497) { perp( Z,
% 35.35/35.78 Y, X, X ) }.
% 35.35/35.78 substitution0:
% 35.35/35.78 X := X
% 35.35/35.78 Y := Y
% 35.35/35.78 Z := X
% 35.35/35.78 T := Z
% 35.35/35.78 U := T
% 35.35/35.78 end
% 35.35/35.78 substitution1:
% 35.35/35.78 X := X
% 35.35/35.78 Y := T
% 35.35/35.78 Z := Z
% 35.35/35.78 end
% 35.35/35.78
% 35.35/35.78 resolution: (81986) {G4,W5,D2,L1,V3,M1} { para( Z, T, Y, Y ) }.
% 35.35/35.78 parent0[0]: (81985) {G3,W10,D2,L2,V4,M2} { ! cong( X, Y, X, Y ), para( Z,
% 35.35/35.78 T, Y, Y ) }.
% 35.35/35.78 parent1[0]: (80497) {G21,W5,D2,L1,V2,M1} R(80480,1000);r(80481) { cong( X,
% 35.35/35.78 Y, X, Y ) }.
% 35.35/35.78 substitution0:
% 35.35/35.78 X := X
% 35.35/35.78 Y := Y
% 35.35/35.78 Z := Z
% 35.35/35.78 T := T
% 35.35/35.78 end
% 35.35/35.78 substitution1:
% 35.35/35.78 X := X
% 35.35/35.78 Y := Y
% 35.35/35.78 end
% 35.35/35.78
% 35.35/35.78 subsumption: (81114) {G23,W5,D2,L1,V3,M1} R(81094,1642);r(80497) { para( Z
% 35.35/35.78 , T, Y, Y ) }.
% 35.35/35.78 parent0: (81986) {G4,W5,D2,L1,V3,M1} { para( Z, T, Y, Y ) }.
% 35.35/35.78 substitution0:
% 35.35/35.78 X := U
% 35.35/35.78 Y := Y
% 35.35/35.78 Z := Z
% 35.35/35.78 T := T
% 35.35/35.78 end
% 35.35/35.78 permutation0:
% 35.35/35.78 0 ==> 0
% 35.35/35.78 end
% 35.35/35.78
% 35.35/35.78 resolution: (81987) {G2,W10,D2,L2,V5,M2} { ! para( X, Y, Z, Z ), perp( X,
% 35.35/35.78 Y, T, U ) }.
% 35.35/35.78 parent0[2]: (312) {G1,W15,D2,L3,V6,M3} R(9,7) { ! para( X, Y, Z, T ), perp
% 35.35/35.78 ( X, Y, U, W ), ! perp( U, W, Z, T ) }.
% 35.35/35.78 parent1[0]: (81094) {G22,W5,D2,L1,V3,M1} R(80497,1640);r(80497) { perp( Z,
% 35.35/35.78 Y, X, X ) }.
% 35.35/35.78 substitution0:
% 35.35/35.78 X := X
% 35.35/35.78 Y := Y
% 35.35/35.78 Z := Z
% 35.35/35.78 T := Z
% 35.35/35.78 U := T
% 35.35/35.78 W := U
% 35.35/35.78 end
% 35.35/35.78 substitution1:
% 35.35/35.78 X := Z
% 35.35/35.78 Y := U
% 35.35/35.78 Z := T
% 35.35/35.78 end
% 35.35/35.78
% 35.35/35.78 resolution: (81988) {G3,W5,D2,L1,V4,M1} { perp( X, Y, T, U ) }.
% 35.35/35.78 parent0[0]: (81987) {G2,W10,D2,L2,V5,M2} { ! para( X, Y, Z, Z ), perp( X,
% 35.35/35.78 Y, T, U ) }.
% 35.35/35.78 parent1[0]: (81114) {G23,W5,D2,L1,V3,M1} R(81094,1642);r(80497) { para( Z,
% 35.35/35.78 T, Y, Y ) }.
% 35.35/35.78 substitution0:
% 35.35/35.78 X := X
% 35.35/35.78 Y := Y
% 35.35/35.78 Z := Z
% 35.35/35.78 T := T
% 35.35/35.78 U := U
% 35.35/35.78 end
% 35.35/35.78 substitution1:
% 35.35/35.78 X := W
% 35.35/35.78 Y := Z
% 35.35/35.78 Z := X
% 35.35/35.78 T := Y
% 35.35/35.78 end
% 35.35/35.78
% 35.35/35.78 subsumption: (81117) {G24,W5,D2,L1,V4,M1} R(81094,312);r(81114) { perp( X,
% 35.35/35.78 Y, T, U ) }.
% 35.35/35.78 parent0: (81988) {G3,W5,D2,L1,V4,M1} { perp( X, Y, T, U ) }.
% 35.35/35.78 substitution0:
% 35.35/35.78 X := X
% 35.35/35.78 Y := Y
% 35.35/35.78 Z := W
% 35.35/35.78 T := T
% 35.35/35.78 U := U
% 35.35/35.78 end
% 35.35/35.78 permutation0:
% 35.35/35.78 0 ==> 0
% 35.35/35.78 end
% 35.35/35.78
% 35.35/35.78 resolution: (81989) {G24,W0,D0,L0,V0,M0} { }.
% 35.35/35.78 parent0[0]: (78656) {G23,W5,D2,L1,V0,M1} R(78585,6) { ! perp( skol20,
% 35.35/35.78 skol24, skol25, skol27 ) }.
% 35.35/35.78 parent1[0]: (81117) {G24,W5,D2,L1,V4,M1} R(81094,312);r(81114) { perp( X, Y
% 35.35/35.78 , T, U ) }.
% 35.35/35.78 substitution0:
% 35.35/35.78 end
% 35.35/35.78 substitution1:
% 35.35/35.78 X := skol20
% 35.35/35.78 Y := skol24
% 35.35/35.78 Z := X
% 35.35/35.78 T := skol25
% 35.35/35.78 U := skol27
% 35.35/35.78 end
% 35.35/35.78
% 35.35/35.78 subsumption: (81120) {G25,W0,D0,L0,V0,M0} R(81117,78656) { }.
% 35.35/35.78 parent0: (81989) {G24,W0,D0,L0,V0,M0} { }.
% 35.35/35.78 substitution0:
% 35.35/35.78 end
% 35.35/35.78 permutation0:
% 35.35/35.78 end
% 35.35/35.78
% 35.35/35.78 Proof check complete!
% 35.35/35.78
% 35.35/35.78 Memory use:
% 35.35/35.78
% 35.35/35.78 space for terms: 1157913
% 35.35/35.78 space for clauses: 3874777
% 35.35/35.78
% 35.35/35.78
% 35.35/35.78 clauses generated: 538657
% 35.35/35.78 clauses kept: 81121
% 35.35/35.78 clauses selected: 3906
% 35.35/35.78 clauses deleted: 33176
% 35.35/35.78 clauses inuse deleted: 2572
% 35.35/35.78
% 35.35/35.78 subsentry: 15520352
% 35.35/35.78 literals s-matched: 10330550
% 35.35/35.78 literals matched: 5465210
% 35.35/35.78 full subsumption: 2970251
% 35.35/35.78
% 35.35/35.78 checksum: 1221605103
% 35.35/35.78
% 35.35/35.78
% 35.35/35.78 Bliksem ended
%------------------------------------------------------------------------------