TSTP Solution File: GEO575+1 by Bliksem---1.12
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : GEO575+1 : TPTP v8.1.0. Released v7.5.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n022.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 02:54:49 EDT 2022
% Result : Theorem 15.03s 15.41s
% Output : Refutation 15.03s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : GEO575+1 : TPTP v8.1.0. Released v7.5.0.
% 0.11/0.13 % Command : bliksem %s
% 0.13/0.34 % Computer : n022.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % DateTime : Fri Jun 17 18:05:17 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.44/1.16 *** allocated 10000 integers for termspace/termends
% 0.44/1.16 *** allocated 10000 integers for clauses
% 0.44/1.16 *** allocated 10000 integers for justifications
% 0.44/1.16 Bliksem 1.12
% 0.44/1.16
% 0.44/1.16
% 0.44/1.16 Automatic Strategy Selection
% 0.44/1.16
% 0.44/1.16 *** allocated 15000 integers for termspace/termends
% 0.44/1.16
% 0.44/1.16 Clauses:
% 0.44/1.16
% 0.44/1.16 { ! coll( X, Y, Z ), coll( X, Z, Y ) }.
% 0.44/1.16 { ! coll( X, Y, Z ), coll( Y, X, Z ) }.
% 0.44/1.16 { ! coll( X, T, Y ), ! coll( X, T, Z ), coll( Y, Z, X ) }.
% 0.44/1.16 { ! para( X, Y, Z, T ), para( X, Y, T, Z ) }.
% 0.44/1.16 { ! para( X, Y, Z, T ), para( Z, T, X, Y ) }.
% 0.44/1.16 { ! para( X, Y, U, W ), ! para( U, W, Z, T ), para( X, Y, Z, T ) }.
% 0.44/1.16 { ! perp( X, Y, Z, T ), perp( X, Y, T, Z ) }.
% 0.44/1.16 { ! perp( X, Y, Z, T ), perp( Z, T, X, Y ) }.
% 0.44/1.16 { ! perp( X, Y, U, W ), ! perp( U, W, Z, T ), para( X, Y, Z, T ) }.
% 0.44/1.16 { ! para( X, Y, U, W ), ! perp( U, W, Z, T ), perp( X, Y, Z, T ) }.
% 0.44/1.16 { ! midp( Z, Y, X ), midp( Z, X, Y ) }.
% 0.44/1.16 { ! cong( T, X, T, Y ), ! cong( T, X, T, Z ), circle( T, X, Y, Z ) }.
% 0.44/1.16 { ! cong( U, X, U, Y ), ! cong( U, X, U, Z ), ! cong( U, X, U, T ), cyclic
% 0.44/1.16 ( X, Y, Z, T ) }.
% 0.44/1.16 { ! cyclic( X, Y, Z, T ), cyclic( X, Y, T, Z ) }.
% 0.44/1.16 { ! cyclic( X, Y, Z, T ), cyclic( X, Z, Y, T ) }.
% 0.44/1.16 { ! cyclic( X, Y, Z, T ), cyclic( Y, X, Z, T ) }.
% 0.44/1.16 { ! cyclic( U, X, Y, Z ), ! cyclic( U, X, Y, T ), cyclic( X, Y, Z, T ) }.
% 0.44/1.16 { ! eqangle( X, Y, Z, T, U, W, V0, V1 ), eqangle( Y, X, Z, T, U, W, V0, V1
% 0.44/1.16 ) }.
% 0.44/1.16 { ! eqangle( X, Y, Z, T, U, W, V0, V1 ), eqangle( Z, T, X, Y, V0, V1, U, W
% 0.44/1.16 ) }.
% 0.44/1.16 { ! eqangle( X, Y, Z, T, U, W, V0, V1 ), eqangle( U, W, V0, V1, X, Y, Z, T
% 0.44/1.16 ) }.
% 0.44/1.16 { ! eqangle( X, Y, Z, T, U, W, V0, V1 ), eqangle( X, Y, U, W, Z, T, V0, V1
% 0.44/1.16 ) }.
% 0.44/1.16 { ! eqangle( X, Y, Z, T, V2, V3, V4, V5 ), ! eqangle( V2, V3, V4, V5, U, W
% 0.44/1.16 , V0, V1 ), eqangle( X, Y, Z, T, U, W, V0, V1 ) }.
% 0.44/1.16 { ! cong( X, Y, Z, T ), cong( X, Y, T, Z ) }.
% 0.44/1.16 { ! cong( X, Y, Z, T ), cong( Z, T, X, Y ) }.
% 0.44/1.16 { ! cong( X, Y, U, W ), ! cong( U, W, Z, T ), cong( X, Y, Z, T ) }.
% 0.44/1.16 { ! eqratio( X, Y, Z, T, U, W, V0, V1 ), eqratio( Y, X, Z, T, U, W, V0, V1
% 0.44/1.16 ) }.
% 0.44/1.16 { ! eqratio( X, Y, Z, T, U, W, V0, V1 ), eqratio( Z, T, X, Y, V0, V1, U, W
% 0.44/1.16 ) }.
% 0.44/1.16 { ! eqratio( X, Y, Z, T, U, W, V0, V1 ), eqratio( U, W, V0, V1, X, Y, Z, T
% 0.44/1.16 ) }.
% 0.44/1.16 { ! eqratio( X, Y, Z, T, U, W, V0, V1 ), eqratio( X, Y, U, W, Z, T, V0, V1
% 0.44/1.16 ) }.
% 0.44/1.16 { ! eqratio( X, Y, Z, T, V2, V3, V4, V5 ), ! eqratio( V2, V3, V4, V5, U, W
% 0.44/1.16 , V0, V1 ), eqratio( X, Y, Z, T, U, W, V0, V1 ) }.
% 0.44/1.16 { ! simtri( X, Z, Y, T, W, U ), simtri( X, Y, Z, T, U, W ) }.
% 0.44/1.16 { ! simtri( Y, X, Z, U, T, W ), simtri( X, Y, Z, T, U, W ) }.
% 0.44/1.16 { ! simtri( T, U, W, X, Y, Z ), simtri( X, Y, Z, T, U, W ) }.
% 0.44/1.16 { ! simtri( X, Y, Z, V0, V1, V2 ), ! simtri( V0, V1, V2, T, U, W ), simtri
% 0.44/1.16 ( X, Y, Z, T, U, W ) }.
% 0.44/1.16 { ! contri( X, Z, Y, T, W, U ), contri( X, Y, Z, T, U, W ) }.
% 0.44/1.16 { ! contri( Y, X, Z, U, T, W ), contri( X, Y, Z, T, U, W ) }.
% 0.44/1.16 { ! contri( T, U, W, X, Y, Z ), contri( X, Y, Z, T, U, W ) }.
% 0.44/1.16 { ! contri( X, Y, Z, V0, V1, V2 ), ! contri( V0, V1, V2, T, U, W ), contri
% 0.44/1.16 ( X, Y, Z, T, U, W ) }.
% 0.44/1.16 { ! eqangle( X, Y, U, W, Z, T, U, W ), para( X, Y, Z, T ) }.
% 0.44/1.16 { ! para( X, Y, Z, T ), eqangle( X, Y, U, W, Z, T, U, W ) }.
% 0.44/1.16 { ! cyclic( X, Y, Z, T ), eqangle( Z, X, Z, Y, T, X, T, Y ) }.
% 0.44/1.16 { ! eqangle( Z, X, Z, Y, T, X, T, Y ), coll( Z, T, X ), cyclic( X, Y, Z, T
% 0.44/1.16 ) }.
% 0.44/1.16 { ! eqangle( Z, X, Z, Y, T, X, T, Y ), ! coll( Z, T, Y ), cyclic( X, Y, Z,
% 0.44/1.16 T ) }.
% 0.44/1.16 { ! cyclic( X, Y, U, Z ), ! cyclic( X, Y, U, T ), ! cyclic( X, Y, U, W ), !
% 0.44/1.16 eqangle( U, X, U, Y, W, Z, W, T ), cong( X, Y, Z, T ) }.
% 0.44/1.16 { ! midp( Z, U, X ), ! midp( T, U, Y ), para( Z, T, X, Y ) }.
% 0.44/1.16 { ! midp( U, X, T ), ! para( U, Z, T, Y ), ! coll( Z, X, Y ), midp( Z, X, Y
% 0.44/1.16 ) }.
% 0.44/1.16 { ! cong( Z, X, Z, Y ), eqangle( Z, X, X, Y, X, Y, Z, Y ) }.
% 0.44/1.16 { ! eqangle( Z, X, X, Y, X, Y, Z, Y ), coll( Z, X, Y ), cong( Z, X, Z, Y )
% 0.44/1.16 }.
% 0.44/1.16 { ! circle( U, X, Y, Z ), ! perp( U, X, X, T ), eqangle( X, T, X, Y, Z, X,
% 0.44/1.16 Z, Y ) }.
% 0.44/1.16 { ! circle( Y, X, T, U ), ! eqangle( X, Z, X, T, U, X, U, T ), perp( Y, X,
% 0.44/1.16 X, Z ) }.
% 0.44/1.16 { ! circle( T, X, Y, Z ), ! midp( U, Y, Z ), eqangle( X, Y, X, Z, T, Y, T,
% 0.44/1.16 U ) }.
% 0.44/1.16 { ! circle( U, T, X, Y ), ! coll( Z, X, Y ), ! eqangle( T, X, T, Y, U, X, U
% 0.44/1.16 , Z ), midp( Z, X, Y ) }.
% 0.44/1.16 { ! perp( X, Y, Y, T ), ! midp( Z, X, T ), cong( X, Z, Y, Z ) }.
% 0.44/1.16 { ! circle( T, X, Y, Z ), ! coll( T, X, Z ), perp( X, Y, Y, Z ) }.
% 0.44/1.16 { ! cyclic( X, Y, Z, T ), ! para( X, Y, Z, T ), eqangle( X, T, Z, T, Z, T,
% 0.44/1.16 Z, Y ) }.
% 0.44/1.16 { ! midp( T, X, Y ), ! perp( Z, T, X, Y ), cong( Z, X, Z, Y ) }.
% 0.44/1.16 { ! cong( X, Z, Y, Z ), ! cong( X, T, Y, T ), perp( X, Y, Z, T ) }.
% 0.44/1.16 { ! cong( X, Y, T, Y ), ! cong( X, Z, T, Z ), ! cyclic( X, T, Y, Z ), perp
% 0.44/1.16 ( Y, X, X, Z ) }.
% 0.44/1.16 { ! eqangle( X, Y, Y, Z, T, U, U, W ), ! eqangle( X, Z, Y, Z, T, W, U, W )
% 0.44/1.16 , coll( X, Y, Z ), simtri( X, Y, Z, T, U, W ) }.
% 0.44/1.16 { ! simtri( X, Y, Z, T, U, W ), eqratio( X, Y, X, Z, T, U, T, W ) }.
% 0.44/1.16 { ! simtri( X, Y, Z, T, U, W ), eqangle( X, Y, Y, Z, T, U, U, W ) }.
% 0.44/1.16 { ! simtri( X, Y, Z, T, U, W ), ! cong( X, Y, T, U ), contri( X, Y, Z, T, U
% 0.44/1.16 , W ) }.
% 0.44/1.16 { ! contri( X, Y, U, Z, T, W ), cong( X, Y, Z, T ) }.
% 0.44/1.16 { ! midp( U, X, Y ), ! midp( U, Z, T ), para( X, Z, Y, T ) }.
% 0.44/1.16 { ! midp( Z, T, U ), ! para( T, X, U, Y ), ! para( T, Y, U, X ), midp( Z, X
% 0.44/1.16 , Y ) }.
% 0.44/1.16 { ! para( X, Y, Z, T ), ! coll( U, X, Z ), ! coll( U, Y, T ), eqratio( U, X
% 0.44/1.16 , X, Z, U, Y, Y, T ) }.
% 0.44/1.16 { ! para( X, Y, X, Z ), coll( X, Y, Z ) }.
% 0.44/1.17 { ! cong( X, Y, X, Z ), ! coll( X, Y, Z ), midp( X, Y, Z ) }.
% 0.44/1.17 { ! midp( X, Y, Z ), cong( X, Y, X, Z ) }.
% 0.44/1.17 { ! midp( X, Y, Z ), coll( X, Y, Z ) }.
% 0.44/1.17 { ! midp( U, X, Y ), ! midp( W, Z, T ), eqratio( U, X, X, Y, W, Z, Z, T ) }
% 0.44/1.17 .
% 0.44/1.17 { ! eqangle( X, Y, Z, T, Z, T, X, Y ), para( X, Y, Z, T ), perp( X, Y, Z, T
% 0.44/1.17 ) }.
% 0.44/1.17 { ! eqangle( X, Y, Z, T, Z, T, X, Y ), perp( X, Y, Z, T ), para( X, Y, Z, T
% 0.44/1.17 ) }.
% 0.44/1.17 { ! eqangle( X, Y, Z, T, U, W, V0, V1 ), ! para( U, W, V0, V1 ), para( X, Y
% 0.44/1.17 , Z, T ) }.
% 0.44/1.17 { ! eqangle( X, Y, Z, T, U, W, V0, V1 ), ! perp( U, W, V0, V1 ), perp( X, Y
% 0.44/1.17 , Z, T ) }.
% 0.44/1.17 { ! eqratio( X, Y, Z, T, U, W, V0, V1 ), ! cong( U, W, V0, V1 ), cong( X, Y
% 0.44/1.17 , Z, T ) }.
% 0.44/1.17 { ! perp( Z, Y, Y, X ), ! eqangle( T, Z, Y, Z, Y, Z, X, Z ), coll( skol1( U
% 0.44/1.17 , W, Z, T ), Z, T ) }.
% 0.44/1.17 { ! perp( Z, Y, Y, X ), ! eqangle( T, Z, Y, Z, Y, Z, X, Z ), coll( skol1( X
% 0.44/1.17 , Y, Z, T ), X, Y ) }.
% 0.44/1.17 { ! cong( Z, X, Z, Y ), ! eqangle( X, Z, Z, T, Z, T, Z, Y ), coll( skol2( U
% 0.44/1.17 , W, Z, T ), Z, T ) }.
% 0.44/1.17 { ! cong( Z, X, Z, Y ), ! eqangle( X, Z, Z, T, Z, T, Z, Y ), coll( Y, X,
% 0.44/1.17 skol2( X, Y, Z, T ) ) }.
% 0.44/1.17 { ! perp( Z, T, X, Y ), ! eqangle( X, Z, Z, T, Z, T, Z, Y ), coll( skol3( U
% 0.44/1.17 , W, Z, T ), Z, T ) }.
% 0.44/1.17 { ! perp( Z, T, X, Y ), ! eqangle( X, Z, Z, T, Z, T, Z, Y ), coll( Y, X,
% 0.44/1.17 skol3( X, Y, Z, T ) ) }.
% 0.44/1.17 { ! perp( Z, T, X, Y ), ! cong( Z, X, Z, Y ), coll( skol4( U, W, Z, T ), Z
% 0.44/1.17 , T ) }.
% 0.44/1.17 { ! perp( Z, T, X, Y ), ! cong( Z, X, Z, Y ), coll( Y, X, skol4( X, Y, Z, T
% 0.44/1.17 ) ) }.
% 0.44/1.17 { ! eqangle( X, Z, Y, Z, X, T, Y, U ), coll( X, Y, Z ), cyclic( T, Y, Z,
% 0.44/1.17 skol5( W, Y, Z, T ) ) }.
% 0.44/1.17 { ! eqangle( X, Z, Y, Z, X, T, Y, U ), coll( X, Y, Z ), eqangle( X, Z, Y, Z
% 0.44/1.17 , X, skol5( X, Y, Z, T ), Y, skol5( X, Y, Z, T ) ) }.
% 0.44/1.17 { ! midp( U, X, Y ), ! midp( W, Z, T ), midp( skol6( X, V0, V1, T, V2, V3 )
% 0.44/1.17 , X, T ) }.
% 0.44/1.17 { ! midp( U, X, Y ), ! midp( W, Z, T ), para( skol6( X, V0, Z, T, V1, W ),
% 0.44/1.17 W, X, Z ) }.
% 0.44/1.17 { ! midp( U, X, Y ), ! midp( W, Z, T ), para( skol6( X, Y, Z, T, U, W ), U
% 0.44/1.17 , Y, T ) }.
% 0.44/1.17 { ! midp( Z, X, Y ), ! midp( W, T, U ), ! coll( T, X, Y ), ! coll( U, X, Y
% 0.44/1.17 ), midp( skol7( X, V0 ), X, V0 ) }.
% 0.44/1.17 { ! midp( T, X, U ), ! para( X, W, Z, T ), ! para( X, W, U, Y ), ! coll( W
% 0.44/1.17 , Y, Z ), coll( skol8( V0, V1, Z, T ), T, Z ) }.
% 0.44/1.17 { ! midp( T, X, U ), ! para( X, W, Z, T ), ! para( X, W, U, Y ), ! coll( W
% 0.44/1.17 , Y, Z ), coll( skol8( X, Y, Z, T ), X, Y ) }.
% 0.44/1.17 { ! cong( T, Z, T, U ), ! perp( X, Y, Y, T ), cong( T, Z, T, skol9( W, V0,
% 0.44/1.17 Z, T ) ) }.
% 0.44/1.17 { ! cong( T, Z, T, U ), ! perp( X, Y, Y, T ), cong( Y, Z, Y, skol9( W, Y, Z
% 0.44/1.17 , T ) ) }.
% 0.44/1.17 { ! cong( T, Z, T, U ), ! perp( X, Y, Y, T ), para( skol9( X, Y, Z, T ), Z
% 0.44/1.17 , X, Y ) }.
% 0.44/1.17 { ! perp( X, T, Y, Z ), ! perp( Y, T, X, Z ), coll( skol10( U, Y, Z ), Z, Y
% 0.44/1.17 ) }.
% 0.44/1.17 { ! perp( X, T, Y, Z ), ! perp( Y, T, X, Z ), perp( X, skol10( X, Y, Z ), Z
% 0.44/1.17 , Y ) }.
% 0.44/1.17 { ! perp( X, T, Y, Z ), ! perp( Y, T, X, Z ), alpha1( X, Y, Z ) }.
% 0.44/1.17 { ! alpha1( X, Y, Z ), coll( skol11( X, T, Z ), Z, X ) }.
% 0.44/1.17 { ! alpha1( X, Y, Z ), perp( Y, skol11( X, Y, Z ), Z, X ) }.
% 0.44/1.17 { ! coll( T, Z, X ), ! perp( Y, T, Z, X ), alpha1( X, Y, Z ) }.
% 0.44/1.17 { ! circle( Y, X, Z, T ), perp( skol12( X, Y ), X, X, Y ) }.
% 4.50/4.90 { ! circle( W, X, Y, Z ), ! cong( W, X, W, T ), ! cong( U, X, U, Y ), W = U
% 4.50/4.90 , alpha2( X, Z, U, skol13( X, V0, Z, V1, U ) ) }.
% 4.50/4.90 { ! circle( W, X, Y, Z ), ! cong( W, X, W, T ), ! cong( U, X, U, Y ), W = U
% 4.50/4.90 , coll( skol21( V0, Y, T, V1 ), Y, T ) }.
% 4.50/4.90 { ! circle( W, X, Y, Z ), ! cong( W, X, W, T ), ! cong( U, X, U, Y ), W = U
% 4.50/4.90 , cong( skol21( X, Y, T, U ), U, U, X ) }.
% 4.50/4.90 { ! alpha2( X, Y, Z, T ), coll( T, X, Y ) }.
% 4.50/4.90 { ! alpha2( X, Y, Z, T ), cong( T, Z, Z, X ) }.
% 4.50/4.90 { ! coll( T, X, Y ), ! cong( T, Z, Z, X ), alpha2( X, Y, Z, T ) }.
% 4.50/4.90 { ! cyclic( X, Y, Z, T ), ! para( X, Y, Z, T ), ! midp( U, X, Y ), circle(
% 4.50/4.90 skol14( X, Y, Z ), X, Y, Z ) }.
% 4.50/4.90 { ! perp( X, Z, Z, Y ), ! cyclic( X, Y, Z, T ), circle( skol15( X, Y, Z ),
% 4.50/4.90 X, Y, Z ) }.
% 4.50/4.90 { ! perp( X, U, U, T ), ! coll( T, Y, Z ), coll( skol16( W, Y, Z ), Y, Z )
% 4.50/4.90 }.
% 4.50/4.90 { ! perp( X, U, U, T ), ! coll( T, Y, Z ), perp( skol16( X, Y, Z ), X, Y, Z
% 4.50/4.90 ) }.
% 4.50/4.90 { ! perp( X, Z, X, Y ), ! perp( Y, X, Y, T ), ! midp( U, Z, T ), midp(
% 4.50/4.90 skol17( X, Y ), X, Y ) }.
% 4.50/4.90 { ! cong( Y, X, Y, Z ), ! perp( X, Y, Y, Z ), coll( X, Y, skol18( X, Y ) )
% 4.50/4.90 }.
% 4.50/4.90 { ! cong( Y, X, Y, Z ), ! perp( X, Y, Y, Z ), cong( Y, X, Y, skol18( X, Y )
% 4.50/4.90 ) }.
% 4.50/4.90 { ! para( U, W, X, Y ), ! coll( Z, U, X ), ! coll( Z, W, Y ), ! coll( T, U
% 4.50/4.90 , W ), coll( Z, T, skol19( V0, V1, Z, T ) ) }.
% 4.50/4.90 { ! para( U, W, X, Y ), ! coll( Z, U, X ), ! coll( Z, W, Y ), ! coll( T, U
% 4.50/4.90 , W ), coll( skol19( X, Y, Z, T ), X, Y ) }.
% 4.50/4.90 { circle( skol26, skol24, skol20, skol25 ) }.
% 4.50/4.90 { perp( skol24, skol20, skol25, skol27 ) }.
% 4.50/4.90 { perp( skol24, skol25, skol20, skol27 ) }.
% 4.50/4.90 { perp( skol20, skol25, skol24, skol27 ) }.
% 4.50/4.90 { circle( skol26, skol25, skol22, skol28 ) }.
% 4.50/4.90 { coll( skol22, skol25, skol27 ) }.
% 4.50/4.90 { circle( skol26, skol24, skol23, skol29 ) }.
% 4.50/4.90 { coll( skol23, skol24, skol27 ) }.
% 4.50/4.90 { ! cong( skol20, skol23, skol20, skol22 ) }.
% 4.50/4.90
% 4.50/4.90 percentage equality = 0.008746, percentage horn = 0.928000
% 4.50/4.90 This is a problem with some equality
% 4.50/4.90
% 4.50/4.90
% 4.50/4.90
% 4.50/4.90 Options Used:
% 4.50/4.90
% 4.50/4.90 useres = 1
% 4.50/4.90 useparamod = 1
% 4.50/4.90 useeqrefl = 1
% 4.50/4.90 useeqfact = 1
% 4.50/4.90 usefactor = 1
% 4.50/4.90 usesimpsplitting = 0
% 4.50/4.90 usesimpdemod = 5
% 4.50/4.90 usesimpres = 3
% 4.50/4.90
% 4.50/4.90 resimpinuse = 1000
% 4.50/4.90 resimpclauses = 20000
% 4.50/4.90 substype = eqrewr
% 4.50/4.90 backwardsubs = 1
% 4.50/4.90 selectoldest = 5
% 4.50/4.90
% 4.50/4.90 litorderings [0] = split
% 4.50/4.90 litorderings [1] = extend the termordering, first sorting on arguments
% 4.50/4.90
% 4.50/4.90 termordering = kbo
% 4.50/4.90
% 4.50/4.90 litapriori = 0
% 4.50/4.90 termapriori = 1
% 4.50/4.90 litaposteriori = 0
% 4.50/4.90 termaposteriori = 0
% 4.50/4.90 demodaposteriori = 0
% 4.50/4.90 ordereqreflfact = 0
% 4.50/4.90
% 4.50/4.90 litselect = negord
% 4.50/4.90
% 4.50/4.90 maxweight = 15
% 4.50/4.90 maxdepth = 30000
% 4.50/4.90 maxlength = 115
% 4.50/4.90 maxnrvars = 195
% 4.50/4.90 excuselevel = 1
% 4.50/4.90 increasemaxweight = 1
% 4.50/4.90
% 4.50/4.90 maxselected = 10000000
% 4.50/4.90 maxnrclauses = 10000000
% 4.50/4.90
% 4.50/4.90 showgenerated = 0
% 4.50/4.90 showkept = 0
% 4.50/4.90 showselected = 0
% 4.50/4.90 showdeleted = 0
% 4.50/4.90 showresimp = 1
% 4.50/4.90 showstatus = 2000
% 4.50/4.90
% 4.50/4.90 prologoutput = 0
% 4.50/4.90 nrgoals = 5000000
% 4.50/4.90 totalproof = 1
% 4.50/4.90
% 4.50/4.90 Symbols occurring in the translation:
% 4.50/4.90
% 4.50/4.90 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 4.50/4.90 . [1, 2] (w:1, o:42, a:1, s:1, b:0),
% 4.50/4.90 ! [4, 1] (w:0, o:37, a:1, s:1, b:0),
% 4.50/4.90 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 4.50/4.90 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 4.50/4.90 coll [38, 3] (w:1, o:70, a:1, s:1, b:0),
% 4.50/4.90 para [40, 4] (w:1, o:78, a:1, s:1, b:0),
% 4.50/4.90 perp [43, 4] (w:1, o:79, a:1, s:1, b:0),
% 4.50/4.90 midp [45, 3] (w:1, o:71, a:1, s:1, b:0),
% 4.50/4.90 cong [47, 4] (w:1, o:80, a:1, s:1, b:0),
% 4.50/4.90 circle [48, 4] (w:1, o:81, a:1, s:1, b:0),
% 4.50/4.90 cyclic [49, 4] (w:1, o:82, a:1, s:1, b:0),
% 4.50/4.90 eqangle [54, 8] (w:1, o:97, a:1, s:1, b:0),
% 4.50/4.90 eqratio [57, 8] (w:1, o:98, a:1, s:1, b:0),
% 4.50/4.90 simtri [59, 6] (w:1, o:94, a:1, s:1, b:0),
% 4.50/4.90 contri [60, 6] (w:1, o:95, a:1, s:1, b:0),
% 4.50/4.90 alpha1 [68, 3] (w:1, o:72, a:1, s:1, b:1),
% 4.50/4.90 alpha2 [69, 4] (w:1, o:83, a:1, s:1, b:1),
% 4.50/4.90 skol1 [70, 4] (w:1, o:84, a:1, s:1, b:1),
% 4.50/4.90 skol2 [71, 4] (w:1, o:86, a:1, s:1, b:1),
% 4.50/4.90 skol3 [72, 4] (w:1, o:88, a:1, s:1, b:1),
% 4.50/4.90 skol4 [73, 4] (w:1, o:89, a:1, s:1, b:1),
% 4.50/4.90 skol5 [74, 4] (w:1, o:90, a:1, s:1, b:1),
% 4.50/4.90 skol6 [75, 6] (w:1, o:96, a:1, s:1, b:1),
% 15.03/15.41 skol7 [76, 2] (w:1, o:66, a:1, s:1, b:1),
% 15.03/15.41 skol8 [77, 4] (w:1, o:91, a:1, s:1, b:1),
% 15.03/15.41 skol9 [78, 4] (w:1, o:92, a:1, s:1, b:1),
% 15.03/15.41 skol10 [79, 3] (w:1, o:73, a:1, s:1, b:1),
% 15.03/15.41 skol11 [80, 3] (w:1, o:74, a:1, s:1, b:1),
% 15.03/15.41 skol12 [81, 2] (w:1, o:67, a:1, s:1, b:1),
% 15.03/15.41 skol13 [82, 5] (w:1, o:93, a:1, s:1, b:1),
% 15.03/15.41 skol14 [83, 3] (w:1, o:75, a:1, s:1, b:1),
% 15.03/15.41 skol15 [84, 3] (w:1, o:76, a:1, s:1, b:1),
% 15.03/15.41 skol16 [85, 3] (w:1, o:77, a:1, s:1, b:1),
% 15.03/15.41 skol17 [86, 2] (w:1, o:68, a:1, s:1, b:1),
% 15.03/15.41 skol18 [87, 2] (w:1, o:69, a:1, s:1, b:1),
% 15.03/15.41 skol19 [88, 4] (w:1, o:85, a:1, s:1, b:1),
% 15.03/15.41 skol20 [89, 0] (w:1, o:28, a:1, s:1, b:1),
% 15.03/15.41 skol21 [90, 4] (w:1, o:87, a:1, s:1, b:1),
% 15.03/15.41 skol22 [91, 0] (w:1, o:29, a:1, s:1, b:1),
% 15.03/15.41 skol23 [92, 0] (w:1, o:30, a:1, s:1, b:1),
% 15.03/15.41 skol24 [93, 0] (w:1, o:31, a:1, s:1, b:1),
% 15.03/15.41 skol25 [94, 0] (w:1, o:32, a:1, s:1, b:1),
% 15.03/15.41 skol26 [95, 0] (w:1, o:33, a:1, s:1, b:1),
% 15.03/15.41 skol27 [96, 0] (w:1, o:34, a:1, s:1, b:1),
% 15.03/15.41 skol28 [97, 0] (w:1, o:35, a:1, s:1, b:1),
% 15.03/15.41 skol29 [98, 0] (w:1, o:36, a:1, s:1, b:1).
% 15.03/15.41
% 15.03/15.41
% 15.03/15.41 Starting Search:
% 15.03/15.41
% 15.03/15.41 *** allocated 15000 integers for clauses
% 15.03/15.41 *** allocated 22500 integers for clauses
% 15.03/15.41 *** allocated 33750 integers for clauses
% 15.03/15.41 *** allocated 22500 integers for termspace/termends
% 15.03/15.41 *** allocated 50625 integers for clauses
% 15.03/15.41 Resimplifying inuse:
% 15.03/15.41 Done
% 15.03/15.41
% 15.03/15.41 *** allocated 75937 integers for clauses
% 15.03/15.41 *** allocated 33750 integers for termspace/termends
% 15.03/15.41 *** allocated 113905 integers for clauses
% 15.03/15.41 *** allocated 50625 integers for termspace/termends
% 15.03/15.41
% 15.03/15.41 Intermediate Status:
% 15.03/15.41 Generated: 13636
% 15.03/15.41 Kept: 2051
% 15.03/15.41 Inuse: 336
% 15.03/15.41 Deleted: 1
% 15.03/15.41 Deletedinuse: 1
% 15.03/15.41
% 15.03/15.41 Resimplifying inuse:
% 15.03/15.41 Done
% 15.03/15.41
% 15.03/15.41 *** allocated 170857 integers for clauses
% 15.03/15.41 *** allocated 75937 integers for termspace/termends
% 15.03/15.41 Resimplifying inuse:
% 15.03/15.41 Done
% 15.03/15.41
% 15.03/15.41 *** allocated 256285 integers for clauses
% 15.03/15.41 *** allocated 113905 integers for termspace/termends
% 15.03/15.41
% 15.03/15.41 Intermediate Status:
% 15.03/15.41 Generated: 35497
% 15.03/15.41 Kept: 4057
% 15.03/15.41 Inuse: 472
% 15.03/15.41 Deleted: 1
% 15.03/15.41 Deletedinuse: 1
% 15.03/15.41
% 15.03/15.41 Resimplifying inuse:
% 15.03/15.41 Done
% 15.03/15.41
% 15.03/15.41 Resimplifying inuse:
% 15.03/15.41 Done
% 15.03/15.41
% 15.03/15.41 *** allocated 384427 integers for clauses
% 15.03/15.41 *** allocated 170857 integers for termspace/termends
% 15.03/15.41
% 15.03/15.41 Intermediate Status:
% 15.03/15.41 Generated: 46915
% 15.03/15.41 Kept: 6151
% 15.03/15.41 Inuse: 546
% 15.03/15.41 Deleted: 1
% 15.03/15.41 Deletedinuse: 1
% 15.03/15.41
% 15.03/15.41 Resimplifying inuse:
% 15.03/15.41 Done
% 15.03/15.41
% 15.03/15.41 Resimplifying inuse:
% 15.03/15.41 Done
% 15.03/15.41
% 15.03/15.41 *** allocated 576640 integers for clauses
% 15.03/15.41
% 15.03/15.41 Intermediate Status:
% 15.03/15.41 Generated: 71406
% 15.03/15.41 Kept: 8258
% 15.03/15.41 Inuse: 739
% 15.03/15.41 Deleted: 3
% 15.03/15.41 Deletedinuse: 1
% 15.03/15.41
% 15.03/15.41 Resimplifying inuse:
% 15.03/15.41 Done
% 15.03/15.41
% 15.03/15.41 *** allocated 256285 integers for termspace/termends
% 15.03/15.41 Resimplifying inuse:
% 15.03/15.41 Done
% 15.03/15.41
% 15.03/15.41
% 15.03/15.41 Intermediate Status:
% 15.03/15.41 Generated: 88232
% 15.03/15.41 Kept: 10267
% 15.03/15.41 Inuse: 814
% 15.03/15.41 Deleted: 10
% 15.03/15.41 Deletedinuse: 4
% 15.03/15.41
% 15.03/15.41 Resimplifying inuse:
% 15.03/15.41 Done
% 15.03/15.41
% 15.03/15.41 Resimplifying inuse:
% 15.03/15.41 Done
% 15.03/15.41
% 15.03/15.41
% 15.03/15.41 Intermediate Status:
% 15.03/15.41 Generated: 96430
% 15.03/15.41 Kept: 12281
% 15.03/15.41 Inuse: 849
% 15.03/15.41 Deleted: 14
% 15.03/15.41 Deletedinuse: 8
% 15.03/15.41
% 15.03/15.41 Resimplifying inuse:
% 15.03/15.41 Done
% 15.03/15.41
% 15.03/15.41 *** allocated 864960 integers for clauses
% 15.03/15.41 Resimplifying inuse:
% 15.03/15.41 Done
% 15.03/15.41
% 15.03/15.41
% 15.03/15.41 Intermediate Status:
% 15.03/15.41 Generated: 114543
% 15.03/15.41 Kept: 14284
% 15.03/15.41 Inuse: 1007
% 15.03/15.41 Deleted: 24
% 15.03/15.41 Deletedinuse: 8
% 15.03/15.41
% 15.03/15.41 Resimplifying inuse:
% 15.03/15.41 Done
% 15.03/15.41
% 15.03/15.41 Resimplifying inuse:
% 15.03/15.41 Done
% 15.03/15.41
% 15.03/15.41 *** allocated 384427 integers for termspace/termends
% 15.03/15.41
% 15.03/15.41 Intermediate Status:
% 15.03/15.41 Generated: 128713
% 15.03/15.41 Kept: 16319
% 15.03/15.41 Inuse: 1148
% 15.03/15.41 Deleted: 44
% 15.03/15.41 Deletedinuse: 20
% 15.03/15.41
% 15.03/15.41 Resimplifying inuse:
% 15.03/15.41 Done
% 15.03/15.41
% 15.03/15.41 Resimplifying inuse:
% 15.03/15.41 Done
% 15.03/15.41
% 15.03/15.41
% 15.03/15.41 Intermediate Status:
% 15.03/15.41 Generated: 146462
% 15.03/15.41 Kept: 18322
% 15.03/15.41 Inuse: 1292
% 15.03/15.41 Deleted: 59
% 15.03/15.41 Deletedinuse: 25
% 15.03/15.41
% 15.03/15.41 Resimplifying inuse:
% 15.03/15.41 Done
% 15.03/15.41
% 15.03/15.41 *** allocated 1297440 integers for clauses
% 15.03/15.41 Resimplifying inuse:
% 15.03/15.41 Done
% 15.03/15.41
% 15.03/15.41 Resimplifying clauses:
% 15.03/15.41 Done
% 15.03/15.41
% 15.03/15.41
% 15.03/15.41 Intermediate Status:
% 15.03/15.41 Generated: 166399
% 15.03/15.41 Kept: 20357
% 15.03/15.41 Inuse: 1477
% 15.03/15.41 Deleted: 1679
% 15.03/15.41 Deletedinuse: 44
% 15.03/15.41
% 15.03/15.41 Resimplifying inuse:
% 15.03/15.41 Done
% 15.03/15.41
% 15.03/15.41 Resimplifying inuse:
% 15.03/15.41 Done
% 15.03/15.41
% 15.03/15.41
% 15.03/15.41 Intermediate Status:
% 15.03/15.41 Generated: 184355
% 15.03/15.41 Kept: 22358
% 15.03/15.41 Inuse: 1644
% 15.03/15.41 Deleted: 1680
% 15.03/15.41 Deletedinuse: 44
% 15.03/15.41
% 15.03/15.41 Resimplifying inuse:
% 15.03/15.41 Done
% 15.03/15.41
% 15.03/15.41 Resimplifying inuse:
% 15.03/15.41 Done
% 15.03/15.41
% 15.03/15.41
% 15.03/15.41 Intermediate Status:
% 15.03/15.41 Generated: 198349
% 15.03/15.41 Kept: 24362
% 15.03/15.41 Inuse: 1778
% 15.03/15.41 Deleted: 1680
% 15.03/15.41 Deletedinuse: 44
% 15.03/15.41
% 15.03/15.41 Resimplifying inuse:
% 15.03/15.41 Done
% 15.03/15.41
% 15.03/15.41 *** allocated 576640 integers for termspace/termends
% 15.03/15.41
% 15.03/15.41 Intermediate Status:
% 15.03/15.41 Generated: 211209
% 15.03/15.41 Kept: 27244
% 15.03/15.41 Inuse: 1876
% 15.03/15.41 Deleted: 1680
% 15.03/15.41 Deletedinuse: 44
% 15.03/15.41
% 15.03/15.41 Resimplifying inuse:
% 15.03/15.41 Done
% 15.03/15.41
% 15.03/15.41 *** allocated 1946160 integers for clauses
% 15.03/15.41
% 15.03/15.41 Intermediate Status:
% 15.03/15.41 Generated: 214744
% 15.03/15.41 Kept: 29262
% 15.03/15.41 Inuse: 1881
% 15.03/15.41 Deleted: 1680
% 15.03/15.41 Deletedinuse: 44
% 15.03/15.41
% 15.03/15.41 Resimplifying inuse:
% 15.03/15.41 Done
% 15.03/15.41
% 15.03/15.41
% 15.03/15.41 Intermediate Status:
% 15.03/15.41 Generated: 223178
% 15.03/15.41 Kept: 31777
% 15.03/15.41 Inuse: 1896
% 15.03/15.41 Deleted: 1680
% 15.03/15.41 Deletedinuse: 44
% 15.03/15.41
% 15.03/15.41 Resimplifying inuse:
% 15.03/15.41 Done
% 15.03/15.41
% 15.03/15.41 Resimplifying inuse:
% 15.03/15.41 Done
% 15.03/15.41
% 15.03/15.41
% 15.03/15.41 Intermediate Status:
% 15.03/15.41 Generated: 241165
% 15.03/15.41 Kept: 33779
% 15.03/15.41 Inuse: 1987
% 15.03/15.41 Deleted: 1688
% 15.03/15.41 Deletedinuse: 51
% 15.03/15.41
% 15.03/15.41 Resimplifying inuse:
% 15.03/15.41 Done
% 15.03/15.41
% 15.03/15.41 Resimplifying inuse:
% 15.03/15.41 Done
% 15.03/15.41
% 15.03/15.41
% 15.03/15.41 Intermediate Status:
% 15.03/15.41 Generated: 255938
% 15.03/15.41 Kept: 35797
% 15.03/15.41 Inuse: 2124
% 15.03/15.41 Deleted: 1691
% 15.03/15.41 Deletedinuse: 54
% 15.03/15.41
% 15.03/15.41 Resimplifying inuse:
% 15.03/15.41 Done
% 15.03/15.41
% 15.03/15.41
% 15.03/15.41 Intermediate Status:
% 15.03/15.41 Generated: 263335
% 15.03/15.41 Kept: 38500
% 15.03/15.41 Inuse: 2144
% 15.03/15.41 Deleted: 1692
% 15.03/15.41 Deletedinuse: 54
% 15.03/15.41
% 15.03/15.41 Resimplifying inuse:
% 15.03/15.41 Done
% 15.03/15.41
% 15.03/15.41 Resimplifying inuse:
% 15.03/15.41 Done
% 15.03/15.41
% 15.03/15.41 *** allocated 864960 integers for termspace/termends
% 15.03/15.41
% 15.03/15.41 Intermediate Status:
% 15.03/15.41 Generated: 270349
% 15.03/15.41 Kept: 40832
% 15.03/15.41 Inuse: 2184
% 15.03/15.41 Deleted: 1700
% 15.03/15.41 Deletedinuse: 57
% 15.03/15.41
% 15.03/15.41 Resimplifying inuse:
% 15.03/15.41 Done
% 15.03/15.41
% 15.03/15.41 Resimplifying clauses:
% 15.03/15.41 Done
% 15.03/15.41
% 15.03/15.41 Resimplifying inuse:
% 15.03/15.41 Done
% 15.03/15.41
% 15.03/15.41
% 15.03/15.41 Intermediate Status:
% 15.03/15.41 Generated: 276117
% 15.03/15.41 Kept: 43023
% 15.03/15.41 Inuse: 2229
% 15.03/15.41 Deleted: 4452
% 15.03/15.41 Deletedinuse: 58
% 15.03/15.41
% 15.03/15.41 Resimplifying inuse:
% 15.03/15.41 Done
% 15.03/15.41
% 15.03/15.41 *** allocated 2919240 integers for clauses
% 15.03/15.41 Resimplifying inuse:
% 15.03/15.41 Done
% 15.03/15.41
% 15.03/15.41
% 15.03/15.41 Intermediate Status:
% 15.03/15.41 Generated: 287525
% 15.03/15.41 Kept: 45034
% 15.03/15.41 Inuse: 2340
% 15.03/15.41 Deleted: 4462
% 15.03/15.41 Deletedinuse: 66
% 15.03/15.41
% 15.03/15.41 Resimplifying inuse:
% 15.03/15.41 Done
% 15.03/15.41
% 15.03/15.41 Resimplifying inuse:
% 15.03/15.41 Done
% 15.03/15.41
% 15.03/15.41
% 15.03/15.41 Intermediate Status:
% 15.03/15.41 Generated: 305417
% 15.03/15.41 Kept: 47039
% 15.03/15.41 Inuse: 2508
% 15.03/15.41 Deleted: 4467
% 15.03/15.41 Deletedinuse: 69
% 15.03/15.41
% 15.03/15.41 Resimplifying inuse:
% 15.03/15.41 Done
% 15.03/15.41
% 15.03/15.41 Resimplifying inuse:
% 15.03/15.41 Done
% 15.03/15.41
% 15.03/15.41
% 15.03/15.41 Intermediate Status:
% 15.03/15.41 Generated: 321012
% 15.03/15.41 Kept: 49049
% 15.03/15.41 Inuse: 2635
% 15.03/15.41 Deleted: 4475
% 15.03/15.41 Deletedinuse: 76
% 15.03/15.41
% 15.03/15.41 Resimplifying inuse:
% 15.03/15.41 Done
% 15.03/15.41
% 15.03/15.41 Resimplifying inuse:
% 15.03/15.41 Done
% 15.03/15.41
% 15.03/15.41
% 15.03/15.41 Intermediate Status:
% 15.03/15.41 Generated: 345081
% 15.03/15.41 Kept: 51064
% 15.03/15.41 Inuse: 2787
% 15.03/15.41 Deleted: 4481
% 15.03/15.41 Deletedinuse: 80
% 15.03/15.41
% 15.03/15.41 Resimplifying inuse:
% 15.03/15.41 Done
% 15.03/15.41
% 15.03/15.41 Resimplifying inuse:
% 15.03/15.41 Done
% 15.03/15.41
% 15.03/15.41
% 15.03/15.41 Intermediate Status:
% 15.03/15.41 Generated: 364279
% 15.03/15.41 Kept: 53234
% 15.03/15.41 Inuse: 2897
% 15.03/15.41 Deleted: 4485
% 15.03/15.41 Deletedinuse: 84
% 15.03/15.41
% 15.03/15.41 Resimplifying inuse:
% 15.03/15.41 Done
% 15.03/15.41
% 15.03/15.41 Resimplifying inuse:
% 15.03/15.41 Done
% 15.03/15.41
% 15.03/15.41
% 15.03/15.41 Intermediate Status:
% 15.03/15.41 Generated: 381283
% 15.03/15.41 Kept: 55242
% 15.03/15.41 Inuse: 3017
% 15.03/15.41 Deleted: 4757
% 15.03/15.41 Deletedinuse: 284
% 15.03/15.41
% 15.03/15.41 Resimplifying inuse:
% 15.03/15.41 Done
% 15.03/15.41
% 15.03/15.41 Resimplifying inuse:
% 15.03/15.41 Done
% 15.03/15.41
% 15.03/15.41
% 15.03/15.41 Intermediate Status:
% 15.03/15.41 Generated: 410361
% 15.03/15.41 Kept: 57263
% 15.03/15.41 Inuse: 3165
% 15.03/15.41 Deleted: 4794
% 15.03/15.41 Deletedinuse: 284
% 15.03/15.41
% 15.03/15.41 Resimplifying inuse:
% 15.03/15.41 Done
% 15.03/15.41
% 15.03/15.41
% 15.03/15.41 Bliksems!, er is een bewijs:
% 15.03/15.41 % SZS status Theorem
% 15.03/15.41 % SZS output start Refutation
% 15.03/15.41
% 15.03/15.41 (0) {G0,W8,D2,L2,V3,M2} I { ! coll( X, Y, Z ), coll( X, Z, Y ) }.
% 15.03/15.41 (1) {G0,W8,D2,L2,V3,M2} I { ! coll( X, Y, Z ), coll( Y, X, Z ) }.
% 15.03/15.41 (2) {G0,W12,D2,L3,V4,M3} I { ! coll( X, T, Y ), ! coll( X, T, Z ), coll( Y
% 15.03/15.41 , Z, X ) }.
% 15.03/15.41 (7) {G0,W10,D2,L2,V4,M2} I { ! perp( X, Y, Z, T ), perp( Z, T, X, Y ) }.
% 15.03/15.41 (8) {G0,W15,D2,L3,V6,M3} I { ! perp( X, Y, U, W ), ! perp( U, W, Z, T ),
% 15.03/15.41 para( X, Y, Z, T ) }.
% 15.03/15.41 (9) {G0,W15,D2,L3,V6,M3} I { ! para( X, Y, U, W ), ! perp( U, W, Z, T ),
% 15.03/15.41 perp( X, Y, Z, T ) }.
% 15.03/15.41 (13) {G0,W10,D2,L2,V4,M2} I { ! cyclic( X, Y, Z, T ), cyclic( X, Y, T, Z )
% 15.03/15.41 }.
% 15.03/15.41 (14) {G0,W10,D2,L2,V4,M2} I { ! cyclic( X, Y, Z, T ), cyclic( X, Z, Y, T )
% 15.03/15.41 }.
% 15.03/15.41 (15) {G0,W10,D2,L2,V4,M2} I { ! cyclic( X, Y, Z, T ), cyclic( Y, X, Z, T )
% 15.03/15.41 }.
% 15.03/15.41 (16) {G0,W15,D2,L3,V5,M3} I { ! cyclic( U, X, Y, Z ), ! cyclic( U, X, Y, T
% 15.03/15.41 ), cyclic( X, Y, Z, T ) }.
% 15.03/15.41 (18) {G0,W18,D2,L2,V8,M2} I { ! eqangle( X, Y, Z, T, U, W, V0, V1 ),
% 15.03/15.41 eqangle( Z, T, X, Y, V0, V1, U, W ) }.
% 15.03/15.41 (19) {G0,W18,D2,L2,V8,M2} I { ! eqangle( X, Y, Z, T, U, W, V0, V1 ),
% 15.03/15.41 eqangle( U, W, V0, V1, X, Y, Z, T ) }.
% 15.03/15.41 (22) {G0,W10,D2,L2,V4,M2} I { ! cong( X, Y, Z, T ), cong( X, Y, T, Z ) }.
% 15.03/15.41 (23) {G0,W10,D2,L2,V4,M2} I { ! cong( X, Y, Z, T ), cong( Z, T, X, Y ) }.
% 15.03/15.41 (24) {G0,W15,D2,L3,V6,M3} I { ! cong( X, Y, U, W ), ! cong( U, W, Z, T ),
% 15.03/15.41 cong( X, Y, Z, T ) }.
% 15.03/15.41 (39) {G0,W14,D2,L2,V6,M2} I { ! para( X, Y, Z, T ), eqangle( X, Y, U, W, Z
% 15.03/15.41 , T, U, W ) }.
% 15.03/15.41 (40) {G0,W14,D2,L2,V4,M2} I { ! cyclic( X, Y, Z, T ), eqangle( Z, X, Z, Y,
% 15.03/15.41 T, X, T, Y ) }.
% 15.03/15.41 (42) {G0,W18,D2,L3,V4,M3} I { ! eqangle( Z, X, Z, Y, T, X, T, Y ), ! coll(
% 15.03/15.41 Z, T, Y ), cyclic( X, Y, Z, T ) }.
% 15.03/15.41 (43) {G0,W29,D2,L5,V6,M5} I { ! cyclic( X, Y, U, Z ), ! cyclic( X, Y, U, T
% 15.03/15.41 ), ! cyclic( X, Y, U, W ), ! eqangle( U, X, U, Y, W, Z, W, T ), cong( X
% 15.03/15.41 , Y, Z, T ) }.
% 15.03/15.41 (52) {G0,W14,D2,L3,V4,M3} I { ! perp( X, Y, Y, T ), ! midp( Z, X, T ), cong
% 15.03/15.41 ( X, Z, Y, Z ) }.
% 15.03/15.41 (56) {G0,W15,D2,L3,V4,M3} I { ! cong( X, Z, Y, Z ), ! cong( X, T, Y, T ),
% 15.03/15.41 perp( X, Y, Z, T ) }.
% 15.03/15.41 (66) {G0,W9,D2,L2,V3,M2} I { ! para( X, Y, X, Z ), coll( X, Y, Z ) }.
% 15.03/15.41 (67) {G0,W13,D2,L3,V3,M3} I { ! cong( X, Y, X, Z ), ! coll( X, Y, Z ), midp
% 15.03/15.41 ( X, Y, Z ) }.
% 15.03/15.41 (96) {G0,W14,D2,L3,V4,M3} I { ! perp( X, T, Y, Z ), ! perp( Y, T, X, Z ),
% 15.03/15.41 alpha1( X, Y, Z ) }.
% 15.03/15.41 (97) {G0,W11,D3,L2,V4,M2} I { ! alpha1( X, Y, Z ), coll( skol11( X, T, Z )
% 15.03/15.41 , Z, X ) }.
% 15.03/15.41 (100) {G0,W12,D3,L2,V4,M2} I { ! circle( Y, X, Z, T ), perp( skol12( X, Y )
% 15.03/15.41 , X, X, Y ) }.
% 15.03/15.41 (120) {G0,W5,D2,L1,V0,M1} I { circle( skol26, skol25, skol22, skol28 ) }.
% 15.03/15.41 (124) {G0,W5,D2,L1,V0,M1} I { ! cong( skol20, skol23, skol20, skol22 ) }.
% 15.03/15.41 (154) {G1,W9,D2,L2,V3,M2} F(96) { ! perp( X, Y, X, Z ), alpha1( X, X, Z )
% 15.03/15.41 }.
% 15.03/15.41 (191) {G1,W12,D2,L3,V4,M3} R(2,0) { ! coll( X, Y, Z ), ! coll( X, Y, T ),
% 15.03/15.41 coll( Z, X, T ) }.
% 15.03/15.41 (196) {G2,W8,D2,L2,V3,M2} F(191) { ! coll( X, Y, Z ), coll( Z, X, Z ) }.
% 15.03/15.41 (213) {G3,W12,D2,L3,V4,M3} R(196,2) { coll( X, Y, X ), ! coll( X, Z, Y ), !
% 15.03/15.41 coll( X, Z, T ) }.
% 15.03/15.41 (226) {G4,W8,D2,L2,V3,M2} F(213) { coll( X, Y, X ), ! coll( X, Z, Y ) }.
% 15.03/15.41 (276) {G1,W15,D2,L3,V6,M3} R(8,7) { ! perp( X, Y, Z, T ), para( U, W, Z, T
% 15.03/15.41 ), ! perp( X, Y, U, W ) }.
% 15.03/15.41 (292) {G2,W10,D2,L2,V4,M2} F(276) { ! perp( X, Y, Z, T ), para( Z, T, Z, T
% 15.03/15.41 ) }.
% 15.03/15.41 (351) {G1,W10,D2,L2,V4,M2} R(14,13) { ! cyclic( X, Y, Z, T ), cyclic( X, Z
% 15.03/15.41 , T, Y ) }.
% 15.03/15.41 (368) {G1,W10,D2,L2,V4,M2} R(15,14) { cyclic( X, Y, Z, T ), ! cyclic( Y, Z
% 15.03/15.41 , X, T ) }.
% 15.03/15.41 (370) {G1,W10,D2,L2,V4,M2} R(15,13) { cyclic( X, Y, Z, T ), ! cyclic( Y, X
% 15.03/15.41 , T, Z ) }.
% 15.03/15.41 (395) {G1,W15,D2,L3,V5,M3} R(16,15) { ! cyclic( X, Y, Z, T ), ! cyclic( X,
% 15.03/15.41 Y, Z, U ), cyclic( Z, Y, T, U ) }.
% 15.03/15.41 (400) {G1,W15,D2,L3,V5,M3} R(16,13) { ! cyclic( X, Y, Z, T ), cyclic( Y, Z
% 15.03/15.41 , T, U ), ! cyclic( X, Y, U, Z ) }.
% 15.03/15.41 (404) {G2,W10,D2,L2,V4,M2} F(395) { ! cyclic( X, Y, Z, T ), cyclic( Z, Y, T
% 15.03/15.41 , T ) }.
% 15.03/15.41 (466) {G5,W8,D2,L2,V3,M2} R(226,1) { ! coll( X, Y, Z ), coll( Z, X, X ) }.
% 15.03/15.41 (468) {G5,W8,D2,L2,V3,M2} R(226,0) { ! coll( X, Y, Z ), coll( X, X, Z ) }.
% 15.03/15.41 (471) {G6,W8,D2,L2,V3,M2} R(466,1) { coll( X, Y, Y ), ! coll( Z, Y, X ) }.
% 15.03/15.41 (508) {G1,W5,D2,L1,V0,M1} R(22,124) { ! cong( skol20, skol23, skol22,
% 15.03/15.41 skol20 ) }.
% 15.03/15.41 (518) {G2,W5,D2,L1,V0,M1} R(23,508) { ! cong( skol22, skol20, skol20,
% 15.03/15.41 skol23 ) }.
% 15.03/15.41 (530) {G3,W5,D2,L1,V0,M1} R(518,22) { ! cong( skol22, skol20, skol23,
% 15.03/15.41 skol20 ) }.
% 15.03/15.41 (537) {G4,W10,D2,L2,V2,M2} R(24,530) { ! cong( skol22, skol20, X, Y ), !
% 15.03/15.41 cong( X, Y, skol23, skol20 ) }.
% 15.03/15.41 (766) {G1,W14,D2,L2,V6,M2} R(39,18) { ! para( X, Y, Z, T ), eqangle( U, W,
% 15.03/15.41 X, Y, U, W, Z, T ) }.
% 15.03/15.41 (897) {G1,W18,D2,L3,V4,M3} R(42,19) { ! coll( X, Y, Z ), cyclic( T, Z, X, Y
% 15.03/15.41 ), ! eqangle( Y, T, Y, Z, X, T, X, Z ) }.
% 15.03/15.41 (968) {G1,W20,D2,L4,V4,M4} R(43,40);f { ! cyclic( X, Y, Z, X ), ! cyclic( X
% 15.03/15.41 , Y, Z, Y ), ! cyclic( X, Y, Z, T ), cong( X, Y, X, Y ) }.
% 15.03/15.41 (1001) {G2,W15,D2,L3,V3,M3} F(968) { ! cyclic( X, Y, Z, X ), ! cyclic( X, Y
% 15.03/15.41 , Z, Y ), cong( X, Y, X, Y ) }.
% 15.03/15.41 (4275) {G7,W8,D2,L2,V3,M2} R(97,471) { ! alpha1( X, Y, Z ), coll( X, Z, Z )
% 15.03/15.41 }.
% 15.03/15.41 (4701) {G1,W7,D3,L1,V0,M1} R(100,120) { perp( skol12( skol25, skol26 ),
% 15.03/15.41 skol25, skol25, skol26 ) }.
% 15.03/15.41 (32447) {G3,W5,D2,L1,V0,M1} R(4701,292) { para( skol25, skol26, skol25,
% 15.03/15.41 skol26 ) }.
% 15.03/15.41 (32476) {G4,W4,D2,L1,V0,M1} R(32447,66) { coll( skol25, skol26, skol26 )
% 15.03/15.41 }.
% 15.03/15.41 (32495) {G6,W4,D2,L1,V0,M1} R(32476,468) { coll( skol25, skol25, skol26 )
% 15.03/15.41 }.
% 15.03/15.41 (48227) {G4,W9,D2,L1,V2,M1} R(766,32447) { eqangle( X, Y, skol25, skol26, X
% 15.03/15.41 , Y, skol25, skol26 ) }.
% 15.03/15.41 (53063) {G7,W5,D2,L1,V1,M1} R(897,32495);r(48227) { cyclic( X, skol26,
% 15.03/15.41 skol25, skol25 ) }.
% 15.03/15.41 (53254) {G8,W5,D2,L1,V1,M1} R(53063,370) { cyclic( skol26, X, skol25,
% 15.03/15.41 skol25 ) }.
% 15.03/15.41 (53266) {G9,W5,D2,L1,V1,M1} R(53254,404) { cyclic( skol25, X, skol25,
% 15.03/15.41 skol25 ) }.
% 15.03/15.41 (53288) {G10,W5,D2,L1,V1,M1} R(53266,368) { cyclic( skol25, skol25, X,
% 15.03/15.41 skol25 ) }.
% 15.03/15.41 (53289) {G10,W5,D2,L1,V1,M1} R(53266,351) { cyclic( skol25, skol25, skol25
% 15.03/15.41 , X ) }.
% 15.03/15.41 (53294) {G11,W5,D2,L1,V2,M1} R(53288,400);r(53289) { cyclic( skol25, skol25
% 15.03/15.41 , X, Y ) }.
% 15.03/15.41 (53551) {G12,W5,D2,L1,V3,M1} R(53294,400);r(53294) { cyclic( skol25, X, Y,
% 15.03/15.41 Z ) }.
% 15.03/15.41 (53570) {G13,W5,D2,L1,V4,M1} R(53551,400);r(53551) { cyclic( X, Y, Z, T )
% 15.03/15.41 }.
% 15.03/15.41 (58799) {G14,W5,D2,L1,V2,M1} S(1001);r(53570);r(53570) { cong( X, Y, X, Y )
% 15.03/15.41 }.
% 15.03/15.41 (58816) {G15,W5,D2,L1,V3,M1} R(58799,56);r(58799) { perp( X, X, Z, Y ) }.
% 15.03/15.41 (58853) {G16,W5,D2,L1,V4,M1} R(58816,276);r(58816) { para( X, Y, Z, T ) }.
% 15.03/15.41 (58855) {G16,W4,D2,L1,V2,M1} R(58816,154) { alpha1( X, X, Y ) }.
% 15.03/15.41 (58875) {G17,W5,D2,L1,V4,M1} R(58816,9);r(58853) { perp( X, Y, T, U ) }.
% 15.03/15.41 (58901) {G17,W4,D2,L1,V2,M1} R(58855,4275) { coll( X, Y, Y ) }.
% 15.03/15.41 (58920) {G18,W4,D2,L1,V2,M1} R(58901,67);r(58799) { midp( X, Y, Y ) }.
% 15.03/15.41 (58940) {G19,W5,D2,L1,V3,M1} R(58920,52);r(58875) { cong( X, Z, Y, Z ) }.
% 15.03/15.41 (58990) {G20,W0,D0,L0,V0,M0} R(58940,537);r(58940) { }.
% 15.03/15.41
% 15.03/15.41
% 15.03/15.41 % SZS output end Refutation
% 15.03/15.41 found a proof!
% 15.03/15.41
% 15.03/15.41
% 15.03/15.41 Unprocessed initial clauses:
% 15.03/15.41
% 15.03/15.41 (58992) {G0,W8,D2,L2,V3,M2} { ! coll( X, Y, Z ), coll( X, Z, Y ) }.
% 15.03/15.41 (58993) {G0,W8,D2,L2,V3,M2} { ! coll( X, Y, Z ), coll( Y, X, Z ) }.
% 15.03/15.41 (58994) {G0,W12,D2,L3,V4,M3} { ! coll( X, T, Y ), ! coll( X, T, Z ), coll
% 15.03/15.41 ( Y, Z, X ) }.
% 15.03/15.41 (58995) {G0,W10,D2,L2,V4,M2} { ! para( X, Y, Z, T ), para( X, Y, T, Z )
% 15.03/15.41 }.
% 15.03/15.41 (58996) {G0,W10,D2,L2,V4,M2} { ! para( X, Y, Z, T ), para( Z, T, X, Y )
% 15.03/15.41 }.
% 15.03/15.41 (58997) {G0,W15,D2,L3,V6,M3} { ! para( X, Y, U, W ), ! para( U, W, Z, T )
% 15.03/15.41 , para( X, Y, Z, T ) }.
% 15.03/15.41 (58998) {G0,W10,D2,L2,V4,M2} { ! perp( X, Y, Z, T ), perp( X, Y, T, Z )
% 15.03/15.41 }.
% 15.03/15.41 (58999) {G0,W10,D2,L2,V4,M2} { ! perp( X, Y, Z, T ), perp( Z, T, X, Y )
% 15.03/15.41 }.
% 15.03/15.41 (59000) {G0,W15,D2,L3,V6,M3} { ! perp( X, Y, U, W ), ! perp( U, W, Z, T )
% 15.03/15.41 , para( X, Y, Z, T ) }.
% 15.03/15.41 (59001) {G0,W15,D2,L3,V6,M3} { ! para( X, Y, U, W ), ! perp( U, W, Z, T )
% 15.03/15.41 , perp( X, Y, Z, T ) }.
% 15.03/15.41 (59002) {G0,W8,D2,L2,V3,M2} { ! midp( Z, Y, X ), midp( Z, X, Y ) }.
% 15.03/15.41 (59003) {G0,W15,D2,L3,V4,M3} { ! cong( T, X, T, Y ), ! cong( T, X, T, Z )
% 15.03/15.41 , circle( T, X, Y, Z ) }.
% 15.03/15.41 (59004) {G0,W20,D2,L4,V5,M4} { ! cong( U, X, U, Y ), ! cong( U, X, U, Z )
% 15.03/15.41 , ! cong( U, X, U, T ), cyclic( X, Y, Z, T ) }.
% 15.03/15.41 (59005) {G0,W10,D2,L2,V4,M2} { ! cyclic( X, Y, Z, T ), cyclic( X, Y, T, Z
% 15.03/15.41 ) }.
% 15.03/15.41 (59006) {G0,W10,D2,L2,V4,M2} { ! cyclic( X, Y, Z, T ), cyclic( X, Z, Y, T
% 15.03/15.41 ) }.
% 15.03/15.41 (59007) {G0,W10,D2,L2,V4,M2} { ! cyclic( X, Y, Z, T ), cyclic( Y, X, Z, T
% 15.03/15.41 ) }.
% 15.03/15.41 (59008) {G0,W15,D2,L3,V5,M3} { ! cyclic( U, X, Y, Z ), ! cyclic( U, X, Y,
% 15.03/15.41 T ), cyclic( X, Y, Z, T ) }.
% 15.03/15.41 (59009) {G0,W18,D2,L2,V8,M2} { ! eqangle( X, Y, Z, T, U, W, V0, V1 ),
% 15.03/15.41 eqangle( Y, X, Z, T, U, W, V0, V1 ) }.
% 15.03/15.41 (59010) {G0,W18,D2,L2,V8,M2} { ! eqangle( X, Y, Z, T, U, W, V0, V1 ),
% 15.03/15.41 eqangle( Z, T, X, Y, V0, V1, U, W ) }.
% 15.03/15.41 (59011) {G0,W18,D2,L2,V8,M2} { ! eqangle( X, Y, Z, T, U, W, V0, V1 ),
% 15.03/15.41 eqangle( U, W, V0, V1, X, Y, Z, T ) }.
% 15.03/15.41 (59012) {G0,W18,D2,L2,V8,M2} { ! eqangle( X, Y, Z, T, U, W, V0, V1 ),
% 15.03/15.41 eqangle( X, Y, U, W, Z, T, V0, V1 ) }.
% 15.03/15.41 (59013) {G0,W27,D2,L3,V12,M3} { ! eqangle( X, Y, Z, T, V2, V3, V4, V5 ), !
% 15.03/15.41 eqangle( V2, V3, V4, V5, U, W, V0, V1 ), eqangle( X, Y, Z, T, U, W, V0,
% 15.03/15.41 V1 ) }.
% 15.03/15.41 (59014) {G0,W10,D2,L2,V4,M2} { ! cong( X, Y, Z, T ), cong( X, Y, T, Z )
% 15.03/15.41 }.
% 15.03/15.41 (59015) {G0,W10,D2,L2,V4,M2} { ! cong( X, Y, Z, T ), cong( Z, T, X, Y )
% 15.03/15.41 }.
% 15.03/15.41 (59016) {G0,W15,D2,L3,V6,M3} { ! cong( X, Y, U, W ), ! cong( U, W, Z, T )
% 15.03/15.41 , cong( X, Y, Z, T ) }.
% 15.03/15.41 (59017) {G0,W18,D2,L2,V8,M2} { ! eqratio( X, Y, Z, T, U, W, V0, V1 ),
% 15.03/15.41 eqratio( Y, X, Z, T, U, W, V0, V1 ) }.
% 15.03/15.41 (59018) {G0,W18,D2,L2,V8,M2} { ! eqratio( X, Y, Z, T, U, W, V0, V1 ),
% 15.03/15.41 eqratio( Z, T, X, Y, V0, V1, U, W ) }.
% 15.03/15.41 (59019) {G0,W18,D2,L2,V8,M2} { ! eqratio( X, Y, Z, T, U, W, V0, V1 ),
% 15.03/15.41 eqratio( U, W, V0, V1, X, Y, Z, T ) }.
% 15.03/15.41 (59020) {G0,W18,D2,L2,V8,M2} { ! eqratio( X, Y, Z, T, U, W, V0, V1 ),
% 15.03/15.41 eqratio( X, Y, U, W, Z, T, V0, V1 ) }.
% 15.03/15.41 (59021) {G0,W27,D2,L3,V12,M3} { ! eqratio( X, Y, Z, T, V2, V3, V4, V5 ), !
% 15.03/15.41 eqratio( V2, V3, V4, V5, U, W, V0, V1 ), eqratio( X, Y, Z, T, U, W, V0,
% 15.03/15.41 V1 ) }.
% 15.03/15.41 (59022) {G0,W14,D2,L2,V6,M2} { ! simtri( X, Z, Y, T, W, U ), simtri( X, Y
% 15.03/15.41 , Z, T, U, W ) }.
% 15.03/15.41 (59023) {G0,W14,D2,L2,V6,M2} { ! simtri( Y, X, Z, U, T, W ), simtri( X, Y
% 15.03/15.41 , Z, T, U, W ) }.
% 15.03/15.41 (59024) {G0,W14,D2,L2,V6,M2} { ! simtri( T, U, W, X, Y, Z ), simtri( X, Y
% 15.03/15.41 , Z, T, U, W ) }.
% 15.03/15.41 (59025) {G0,W21,D2,L3,V9,M3} { ! simtri( X, Y, Z, V0, V1, V2 ), ! simtri(
% 15.03/15.41 V0, V1, V2, T, U, W ), simtri( X, Y, Z, T, U, W ) }.
% 15.03/15.41 (59026) {G0,W14,D2,L2,V6,M2} { ! contri( X, Z, Y, T, W, U ), contri( X, Y
% 15.03/15.41 , Z, T, U, W ) }.
% 15.03/15.41 (59027) {G0,W14,D2,L2,V6,M2} { ! contri( Y, X, Z, U, T, W ), contri( X, Y
% 15.03/15.41 , Z, T, U, W ) }.
% 15.03/15.41 (59028) {G0,W14,D2,L2,V6,M2} { ! contri( T, U, W, X, Y, Z ), contri( X, Y
% 15.03/15.41 , Z, T, U, W ) }.
% 15.03/15.41 (59029) {G0,W21,D2,L3,V9,M3} { ! contri( X, Y, Z, V0, V1, V2 ), ! contri(
% 15.03/15.41 V0, V1, V2, T, U, W ), contri( X, Y, Z, T, U, W ) }.
% 15.03/15.41 (59030) {G0,W14,D2,L2,V6,M2} { ! eqangle( X, Y, U, W, Z, T, U, W ), para(
% 15.03/15.41 X, Y, Z, T ) }.
% 15.03/15.41 (59031) {G0,W14,D2,L2,V6,M2} { ! para( X, Y, Z, T ), eqangle( X, Y, U, W,
% 15.03/15.41 Z, T, U, W ) }.
% 15.03/15.41 (59032) {G0,W14,D2,L2,V4,M2} { ! cyclic( X, Y, Z, T ), eqangle( Z, X, Z, Y
% 15.03/15.41 , T, X, T, Y ) }.
% 15.03/15.41 (59033) {G0,W18,D2,L3,V4,M3} { ! eqangle( Z, X, Z, Y, T, X, T, Y ), coll(
% 15.03/15.41 Z, T, X ), cyclic( X, Y, Z, T ) }.
% 15.03/15.41 (59034) {G0,W18,D2,L3,V4,M3} { ! eqangle( Z, X, Z, Y, T, X, T, Y ), ! coll
% 15.03/15.41 ( Z, T, Y ), cyclic( X, Y, Z, T ) }.
% 15.03/15.41 (59035) {G0,W29,D2,L5,V6,M5} { ! cyclic( X, Y, U, Z ), ! cyclic( X, Y, U,
% 15.03/15.41 T ), ! cyclic( X, Y, U, W ), ! eqangle( U, X, U, Y, W, Z, W, T ), cong( X
% 15.03/15.41 , Y, Z, T ) }.
% 15.03/15.41 (59036) {G0,W13,D2,L3,V5,M3} { ! midp( Z, U, X ), ! midp( T, U, Y ), para
% 15.03/15.41 ( Z, T, X, Y ) }.
% 15.03/15.41 (59037) {G0,W17,D2,L4,V5,M4} { ! midp( U, X, T ), ! para( U, Z, T, Y ), !
% 15.03/15.41 coll( Z, X, Y ), midp( Z, X, Y ) }.
% 15.03/15.41 (59038) {G0,W14,D2,L2,V3,M2} { ! cong( Z, X, Z, Y ), eqangle( Z, X, X, Y,
% 15.03/15.41 X, Y, Z, Y ) }.
% 15.03/15.41 (59039) {G0,W18,D2,L3,V3,M3} { ! eqangle( Z, X, X, Y, X, Y, Z, Y ), coll(
% 15.03/15.41 Z, X, Y ), cong( Z, X, Z, Y ) }.
% 15.03/15.41 (59040) {G0,W19,D2,L3,V5,M3} { ! circle( U, X, Y, Z ), ! perp( U, X, X, T
% 15.03/15.41 ), eqangle( X, T, X, Y, Z, X, Z, Y ) }.
% 15.03/15.41 (59041) {G0,W19,D2,L3,V5,M3} { ! circle( Y, X, T, U ), ! eqangle( X, Z, X
% 15.03/15.41 , T, U, X, U, T ), perp( Y, X, X, Z ) }.
% 15.03/15.41 (59042) {G0,W18,D2,L3,V5,M3} { ! circle( T, X, Y, Z ), ! midp( U, Y, Z ),
% 15.03/15.41 eqangle( X, Y, X, Z, T, Y, T, U ) }.
% 15.03/15.41 (59043) {G0,W22,D2,L4,V5,M4} { ! circle( U, T, X, Y ), ! coll( Z, X, Y ),
% 15.03/15.41 ! eqangle( T, X, T, Y, U, X, U, Z ), midp( Z, X, Y ) }.
% 15.03/15.41 (59044) {G0,W14,D2,L3,V4,M3} { ! perp( X, Y, Y, T ), ! midp( Z, X, T ),
% 15.03/15.41 cong( X, Z, Y, Z ) }.
% 15.03/15.41 (59045) {G0,W14,D2,L3,V4,M3} { ! circle( T, X, Y, Z ), ! coll( T, X, Z ),
% 15.03/15.41 perp( X, Y, Y, Z ) }.
% 15.03/15.41 (59046) {G0,W19,D2,L3,V4,M3} { ! cyclic( X, Y, Z, T ), ! para( X, Y, Z, T
% 15.03/15.41 ), eqangle( X, T, Z, T, Z, T, Z, Y ) }.
% 15.03/15.41 (59047) {G0,W14,D2,L3,V4,M3} { ! midp( T, X, Y ), ! perp( Z, T, X, Y ),
% 15.03/15.41 cong( Z, X, Z, Y ) }.
% 15.03/15.41 (59048) {G0,W15,D2,L3,V4,M3} { ! cong( X, Z, Y, Z ), ! cong( X, T, Y, T )
% 15.03/15.41 , perp( X, Y, Z, T ) }.
% 15.03/15.41 (59049) {G0,W20,D2,L4,V4,M4} { ! cong( X, Y, T, Y ), ! cong( X, Z, T, Z )
% 15.03/15.41 , ! cyclic( X, T, Y, Z ), perp( Y, X, X, Z ) }.
% 15.03/15.41 (59050) {G0,W29,D2,L4,V6,M4} { ! eqangle( X, Y, Y, Z, T, U, U, W ), !
% 15.03/15.41 eqangle( X, Z, Y, Z, T, W, U, W ), coll( X, Y, Z ), simtri( X, Y, Z, T, U
% 15.03/15.41 , W ) }.
% 15.03/15.41 (59051) {G0,W16,D2,L2,V6,M2} { ! simtri( X, Y, Z, T, U, W ), eqratio( X, Y
% 15.03/15.41 , X, Z, T, U, T, W ) }.
% 15.03/15.41 (59052) {G0,W16,D2,L2,V6,M2} { ! simtri( X, Y, Z, T, U, W ), eqangle( X, Y
% 15.03/15.41 , Y, Z, T, U, U, W ) }.
% 15.03/15.41 (59053) {G0,W19,D2,L3,V6,M3} { ! simtri( X, Y, Z, T, U, W ), ! cong( X, Y
% 15.03/15.41 , T, U ), contri( X, Y, Z, T, U, W ) }.
% 15.03/15.41 (59054) {G0,W12,D2,L2,V6,M2} { ! contri( X, Y, U, Z, T, W ), cong( X, Y, Z
% 15.03/15.41 , T ) }.
% 15.03/15.41 (59055) {G0,W13,D2,L3,V5,M3} { ! midp( U, X, Y ), ! midp( U, Z, T ), para
% 15.03/15.41 ( X, Z, Y, T ) }.
% 15.03/15.41 (59056) {G0,W18,D2,L4,V5,M4} { ! midp( Z, T, U ), ! para( T, X, U, Y ), !
% 15.03/15.41 para( T, Y, U, X ), midp( Z, X, Y ) }.
% 15.03/15.41 (59057) {G0,W22,D2,L4,V5,M4} { ! para( X, Y, Z, T ), ! coll( U, X, Z ), !
% 15.03/15.41 coll( U, Y, T ), eqratio( U, X, X, Z, U, Y, Y, T ) }.
% 15.03/15.41 (59058) {G0,W9,D2,L2,V3,M2} { ! para( X, Y, X, Z ), coll( X, Y, Z ) }.
% 15.03/15.41 (59059) {G0,W13,D2,L3,V3,M3} { ! cong( X, Y, X, Z ), ! coll( X, Y, Z ),
% 15.03/15.41 midp( X, Y, Z ) }.
% 15.03/15.41 (59060) {G0,W9,D2,L2,V3,M2} { ! midp( X, Y, Z ), cong( X, Y, X, Z ) }.
% 15.03/15.41 (59061) {G0,W8,D2,L2,V3,M2} { ! midp( X, Y, Z ), coll( X, Y, Z ) }.
% 15.03/15.41 (59062) {G0,W17,D2,L3,V6,M3} { ! midp( U, X, Y ), ! midp( W, Z, T ),
% 15.03/15.41 eqratio( U, X, X, Y, W, Z, Z, T ) }.
% 15.03/15.41 (59063) {G0,W19,D2,L3,V4,M3} { ! eqangle( X, Y, Z, T, Z, T, X, Y ), para(
% 15.03/15.41 X, Y, Z, T ), perp( X, Y, Z, T ) }.
% 15.03/15.41 (59064) {G0,W19,D2,L3,V4,M3} { ! eqangle( X, Y, Z, T, Z, T, X, Y ), perp(
% 15.03/15.41 X, Y, Z, T ), para( X, Y, Z, T ) }.
% 15.03/15.41 (59065) {G0,W19,D2,L3,V8,M3} { ! eqangle( X, Y, Z, T, U, W, V0, V1 ), !
% 15.03/15.41 para( U, W, V0, V1 ), para( X, Y, Z, T ) }.
% 15.03/15.41 (59066) {G0,W19,D2,L3,V8,M3} { ! eqangle( X, Y, Z, T, U, W, V0, V1 ), !
% 15.03/15.41 perp( U, W, V0, V1 ), perp( X, Y, Z, T ) }.
% 15.03/15.41 (59067) {G0,W19,D2,L3,V8,M3} { ! eqratio( X, Y, Z, T, U, W, V0, V1 ), !
% 15.03/15.41 cong( U, W, V0, V1 ), cong( X, Y, Z, T ) }.
% 15.03/15.41 (59068) {G0,W22,D3,L3,V6,M3} { ! perp( Z, Y, Y, X ), ! eqangle( T, Z, Y, Z
% 15.03/15.41 , Y, Z, X, Z ), coll( skol1( U, W, Z, T ), Z, T ) }.
% 15.03/15.41 (59069) {G0,W22,D3,L3,V4,M3} { ! perp( Z, Y, Y, X ), ! eqangle( T, Z, Y, Z
% 15.03/15.41 , Y, Z, X, Z ), coll( skol1( X, Y, Z, T ), X, Y ) }.
% 15.03/15.41 (59070) {G0,W22,D3,L3,V6,M3} { ! cong( Z, X, Z, Y ), ! eqangle( X, Z, Z, T
% 15.03/15.41 , Z, T, Z, Y ), coll( skol2( U, W, Z, T ), Z, T ) }.
% 15.03/15.41 (59071) {G0,W22,D3,L3,V4,M3} { ! cong( Z, X, Z, Y ), ! eqangle( X, Z, Z, T
% 15.03/15.41 , Z, T, Z, Y ), coll( Y, X, skol2( X, Y, Z, T ) ) }.
% 15.03/15.41 (59072) {G0,W22,D3,L3,V6,M3} { ! perp( Z, T, X, Y ), ! eqangle( X, Z, Z, T
% 15.03/15.41 , Z, T, Z, Y ), coll( skol3( U, W, Z, T ), Z, T ) }.
% 15.03/15.41 (59073) {G0,W22,D3,L3,V4,M3} { ! perp( Z, T, X, Y ), ! eqangle( X, Z, Z, T
% 15.03/15.41 , Z, T, Z, Y ), coll( Y, X, skol3( X, Y, Z, T ) ) }.
% 15.03/15.41 (59074) {G0,W18,D3,L3,V6,M3} { ! perp( Z, T, X, Y ), ! cong( Z, X, Z, Y )
% 15.03/15.41 , coll( skol4( U, W, Z, T ), Z, T ) }.
% 15.03/15.41 (59075) {G0,W18,D3,L3,V4,M3} { ! perp( Z, T, X, Y ), ! cong( Z, X, Z, Y )
% 15.03/15.41 , coll( Y, X, skol4( X, Y, Z, T ) ) }.
% 15.03/15.41 (59076) {G0,W22,D3,L3,V6,M3} { ! eqangle( X, Z, Y, Z, X, T, Y, U ), coll(
% 15.03/15.41 X, Y, Z ), cyclic( T, Y, Z, skol5( W, Y, Z, T ) ) }.
% 15.03/15.41 (59077) {G0,W30,D3,L3,V5,M3} { ! eqangle( X, Z, Y, Z, X, T, Y, U ), coll(
% 15.03/15.41 X, Y, Z ), eqangle( X, Z, Y, Z, X, skol5( X, Y, Z, T ), Y, skol5( X, Y, Z
% 15.03/15.41 , T ) ) }.
% 15.03/15.41 (59078) {G0,W18,D3,L3,V10,M3} { ! midp( U, X, Y ), ! midp( W, Z, T ), midp
% 15.03/15.41 ( skol6( X, V0, V1, T, V2, V3 ), X, T ) }.
% 15.03/15.41 (59079) {G0,W19,D3,L3,V8,M3} { ! midp( U, X, Y ), ! midp( W, Z, T ), para
% 15.03/15.41 ( skol6( X, V0, Z, T, V1, W ), W, X, Z ) }.
% 15.03/15.41 (59080) {G0,W19,D3,L3,V6,M3} { ! midp( U, X, Y ), ! midp( W, Z, T ), para
% 15.03/15.41 ( skol6( X, Y, Z, T, U, W ), U, Y, T ) }.
% 15.03/15.41 (59081) {G0,W22,D3,L5,V7,M5} { ! midp( Z, X, Y ), ! midp( W, T, U ), !
% 15.03/15.41 coll( T, X, Y ), ! coll( U, X, Y ), midp( skol7( X, V0 ), X, V0 ) }.
% 15.03/15.41 (59082) {G0,W26,D3,L5,V8,M5} { ! midp( T, X, U ), ! para( X, W, Z, T ), !
% 15.03/15.41 para( X, W, U, Y ), ! coll( W, Y, Z ), coll( skol8( V0, V1, Z, T ), T, Z
% 15.03/15.41 ) }.
% 15.03/15.41 (59083) {G0,W26,D3,L5,V6,M5} { ! midp( T, X, U ), ! para( X, W, Z, T ), !
% 15.03/15.41 para( X, W, U, Y ), ! coll( W, Y, Z ), coll( skol8( X, Y, Z, T ), X, Y )
% 15.03/15.41 }.
% 15.03/15.41 (59084) {G0,W19,D3,L3,V7,M3} { ! cong( T, Z, T, U ), ! perp( X, Y, Y, T )
% 15.03/15.41 , cong( T, Z, T, skol9( W, V0, Z, T ) ) }.
% 15.03/15.41 (59085) {G0,W19,D3,L3,V6,M3} { ! cong( T, Z, T, U ), ! perp( X, Y, Y, T )
% 15.03/15.41 , cong( Y, Z, Y, skol9( W, Y, Z, T ) ) }.
% 15.03/15.41 (59086) {G0,W19,D3,L3,V5,M3} { ! cong( T, Z, T, U ), ! perp( X, Y, Y, T )
% 15.03/15.41 , para( skol9( X, Y, Z, T ), Z, X, Y ) }.
% 15.03/15.41 (59087) {G0,W17,D3,L3,V5,M3} { ! perp( X, T, Y, Z ), ! perp( Y, T, X, Z )
% 15.03/15.41 , coll( skol10( U, Y, Z ), Z, Y ) }.
% 15.03/15.41 (59088) {G0,W18,D3,L3,V4,M3} { ! perp( X, T, Y, Z ), ! perp( Y, T, X, Z )
% 15.03/15.41 , perp( X, skol10( X, Y, Z ), Z, Y ) }.
% 15.03/15.41 (59089) {G0,W14,D2,L3,V4,M3} { ! perp( X, T, Y, Z ), ! perp( Y, T, X, Z )
% 15.03/15.41 , alpha1( X, Y, Z ) }.
% 15.03/15.41 (59090) {G0,W11,D3,L2,V4,M2} { ! alpha1( X, Y, Z ), coll( skol11( X, T, Z
% 15.03/15.41 ), Z, X ) }.
% 15.03/15.41 (59091) {G0,W12,D3,L2,V3,M2} { ! alpha1( X, Y, Z ), perp( Y, skol11( X, Y
% 15.03/15.41 , Z ), Z, X ) }.
% 15.03/15.41 (59092) {G0,W13,D2,L3,V4,M3} { ! coll( T, Z, X ), ! perp( Y, T, Z, X ),
% 15.03/15.41 alpha1( X, Y, Z ) }.
% 15.03/15.41 (59093) {G0,W12,D3,L2,V4,M2} { ! circle( Y, X, Z, T ), perp( skol12( X, Y
% 15.03/15.41 ), X, X, Y ) }.
% 15.03/15.41 (59094) {G0,W28,D3,L5,V8,M5} { ! circle( W, X, Y, Z ), ! cong( W, X, W, T
% 15.03/15.41 ), ! cong( U, X, U, Y ), W = U, alpha2( X, Z, U, skol13( X, V0, Z, V1, U
% 15.03/15.41 ) ) }.
% 15.03/15.41 (59095) {G0,W26,D3,L5,V8,M5} { ! circle( W, X, Y, Z ), ! cong( W, X, W, T
% 15.03/15.41 ), ! cong( U, X, U, Y ), W = U, coll( skol21( V0, Y, T, V1 ), Y, T ) }.
% 15.03/15.41 (59096) {G0,W27,D3,L5,V6,M5} { ! circle( W, X, Y, Z ), ! cong( W, X, W, T
% 15.03/15.41 ), ! cong( U, X, U, Y ), W = U, cong( skol21( X, Y, T, U ), U, U, X )
% 15.03/15.41 }.
% 15.03/15.41 (59097) {G0,W9,D2,L2,V4,M2} { ! alpha2( X, Y, Z, T ), coll( T, X, Y ) }.
% 15.03/15.41 (59098) {G0,W10,D2,L2,V4,M2} { ! alpha2( X, Y, Z, T ), cong( T, Z, Z, X )
% 15.03/15.41 }.
% 15.03/15.41 (59099) {G0,W14,D2,L3,V4,M3} { ! coll( T, X, Y ), ! cong( T, Z, Z, X ),
% 15.03/15.41 alpha2( X, Y, Z, T ) }.
% 15.03/15.41 (59100) {G0,W22,D3,L4,V5,M4} { ! cyclic( X, Y, Z, T ), ! para( X, Y, Z, T
% 15.03/15.41 ), ! midp( U, X, Y ), circle( skol14( X, Y, Z ), X, Y, Z ) }.
% 15.03/15.41 (59101) {G0,W18,D3,L3,V4,M3} { ! perp( X, Z, Z, Y ), ! cyclic( X, Y, Z, T
% 15.03/15.41 ), circle( skol15( X, Y, Z ), X, Y, Z ) }.
% 15.03/15.41 (59102) {G0,W16,D3,L3,V6,M3} { ! perp( X, U, U, T ), ! coll( T, Y, Z ),
% 15.03/15.41 coll( skol16( W, Y, Z ), Y, Z ) }.
% 15.03/15.41 (59103) {G0,W17,D3,L3,V5,M3} { ! perp( X, U, U, T ), ! coll( T, Y, Z ),
% 15.03/15.41 perp( skol16( X, Y, Z ), X, Y, Z ) }.
% 15.03/15.41 (59104) {G0,W20,D3,L4,V5,M4} { ! perp( X, Z, X, Y ), ! perp( Y, X, Y, T )
% 15.03/15.41 , ! midp( U, Z, T ), midp( skol17( X, Y ), X, Y ) }.
% 15.03/15.41 (59105) {G0,W16,D3,L3,V3,M3} { ! cong( Y, X, Y, Z ), ! perp( X, Y, Y, Z )
% 15.03/15.41 , coll( X, Y, skol18( X, Y ) ) }.
% 15.03/15.41 (59106) {G0,W17,D3,L3,V3,M3} { ! cong( Y, X, Y, Z ), ! perp( X, Y, Y, Z )
% 15.03/15.41 , cong( Y, X, Y, skol18( X, Y ) ) }.
% 15.03/15.41 (59107) {G0,W25,D3,L5,V8,M5} { ! para( U, W, X, Y ), ! coll( Z, U, X ), !
% 15.03/15.41 coll( Z, W, Y ), ! coll( T, U, W ), coll( Z, T, skol19( V0, V1, Z, T ) )
% 15.03/15.41 }.
% 15.03/15.41 (59108) {G0,W25,D3,L5,V6,M5} { ! para( U, W, X, Y ), ! coll( Z, U, X ), !
% 15.03/15.41 coll( Z, W, Y ), ! coll( T, U, W ), coll( skol19( X, Y, Z, T ), X, Y )
% 15.03/15.41 }.
% 15.03/15.41 (59109) {G0,W5,D2,L1,V0,M1} { circle( skol26, skol24, skol20, skol25 ) }.
% 15.03/15.41 (59110) {G0,W5,D2,L1,V0,M1} { perp( skol24, skol20, skol25, skol27 ) }.
% 15.03/15.41 (59111) {G0,W5,D2,L1,V0,M1} { perp( skol24, skol25, skol20, skol27 ) }.
% 15.03/15.41 (59112) {G0,W5,D2,L1,V0,M1} { perp( skol20, skol25, skol24, skol27 ) }.
% 15.03/15.41 (59113) {G0,W5,D2,L1,V0,M1} { circle( skol26, skol25, skol22, skol28 ) }.
% 15.03/15.41 (59114) {G0,W4,D2,L1,V0,M1} { coll( skol22, skol25, skol27 ) }.
% 15.03/15.41 (59115) {G0,W5,D2,L1,V0,M1} { circle( skol26, skol24, skol23, skol29 ) }.
% 15.03/15.41 (59116) {G0,W4,D2,L1,V0,M1} { coll( skol23, skol24, skol27 ) }.
% 15.03/15.41 (59117) {G0,W5,D2,L1,V0,M1} { ! cong( skol20, skol23, skol20, skol22 ) }.
% 15.03/15.41
% 15.03/15.41
% 15.03/15.41 Total Proof:
% 15.03/15.41
% 15.03/15.41 subsumption: (0) {G0,W8,D2,L2,V3,M2} I { ! coll( X, Y, Z ), coll( X, Z, Y )
% 15.03/15.41 }.
% 15.03/15.41 parent0: (58992) {G0,W8,D2,L2,V3,M2} { ! coll( X, Y, Z ), coll( X, Z, Y )
% 15.03/15.41 }.
% 15.03/15.41 substitution0:
% 15.03/15.41 X := X
% 15.03/15.41 Y := Y
% 15.03/15.41 Z := Z
% 15.03/15.41 end
% 15.03/15.41 permutation0:
% 15.03/15.41 0 ==> 0
% 15.03/15.41 1 ==> 1
% 15.03/15.41 end
% 15.03/15.41
% 15.03/15.41 subsumption: (1) {G0,W8,D2,L2,V3,M2} I { ! coll( X, Y, Z ), coll( Y, X, Z )
% 15.03/15.41 }.
% 15.03/15.41 parent0: (58993) {G0,W8,D2,L2,V3,M2} { ! coll( X, Y, Z ), coll( Y, X, Z )
% 15.03/15.41 }.
% 15.03/15.41 substitution0:
% 15.03/15.41 X := X
% 15.03/15.41 Y := Y
% 15.03/15.41 Z := Z
% 15.03/15.41 end
% 15.03/15.41 permutation0:
% 15.03/15.41 0 ==> 0
% 15.03/15.41 1 ==> 1
% 15.03/15.41 end
% 15.03/15.41
% 15.03/15.41 subsumption: (2) {G0,W12,D2,L3,V4,M3} I { ! coll( X, T, Y ), ! coll( X, T,
% 15.03/15.41 Z ), coll( Y, Z, X ) }.
% 15.03/15.41 parent0: (58994) {G0,W12,D2,L3,V4,M3} { ! coll( X, T, Y ), ! coll( X, T, Z
% 15.03/15.41 ), coll( Y, Z, X ) }.
% 15.03/15.41 substitution0:
% 15.03/15.41 X := X
% 15.03/15.41 Y := Y
% 15.03/15.41 Z := Z
% 15.03/15.41 T := T
% 15.03/15.41 end
% 15.03/15.41 permutation0:
% 15.03/15.41 0 ==> 0
% 15.03/15.41 1 ==> 1
% 15.03/15.41 2 ==> 2
% 15.03/15.41 end
% 15.03/15.41
% 15.03/15.41 subsumption: (7) {G0,W10,D2,L2,V4,M2} I { ! perp( X, Y, Z, T ), perp( Z, T
% 15.03/15.41 , X, Y ) }.
% 15.03/15.41 parent0: (58999) {G0,W10,D2,L2,V4,M2} { ! perp( X, Y, Z, T ), perp( Z, T,
% 15.03/15.41 X, Y ) }.
% 15.03/15.41 substitution0:
% 15.03/15.41 X := X
% 15.03/15.41 Y := Y
% 15.03/15.41 Z := Z
% 15.03/15.41 T := T
% 15.03/15.41 end
% 15.03/15.41 permutation0:
% 15.03/15.41 0 ==> 0
% 15.03/15.41 1 ==> 1
% 15.03/15.41 end
% 15.03/15.41
% 15.03/15.41 subsumption: (8) {G0,W15,D2,L3,V6,M3} I { ! perp( X, Y, U, W ), ! perp( U,
% 15.03/15.41 W, Z, T ), para( X, Y, Z, T ) }.
% 15.03/15.41 parent0: (59000) {G0,W15,D2,L3,V6,M3} { ! perp( X, Y, U, W ), ! perp( U, W
% 15.03/15.41 , Z, T ), para( X, Y, Z, T ) }.
% 15.03/15.41 substitution0:
% 15.03/15.41 X := X
% 15.03/15.41 Y := Y
% 15.03/15.41 Z := Z
% 15.03/15.41 T := T
% 15.03/15.41 U := U
% 15.03/15.41 W := W
% 15.03/15.41 end
% 15.03/15.41 permutation0:
% 15.03/15.41 0 ==> 0
% 15.03/15.41 1 ==> 1
% 15.03/15.41 2 ==> 2
% 15.03/15.41 end
% 15.03/15.41
% 15.03/15.41 subsumption: (9) {G0,W15,D2,L3,V6,M3} I { ! para( X, Y, U, W ), ! perp( U,
% 15.03/15.41 W, Z, T ), perp( X, Y, Z, T ) }.
% 15.03/15.41 parent0: (59001) {G0,W15,D2,L3,V6,M3} { ! para( X, Y, U, W ), ! perp( U, W
% 15.03/15.41 , Z, T ), perp( X, Y, Z, T ) }.
% 15.03/15.41 substitution0:
% 15.03/15.41 X := X
% 15.03/15.41 Y := Y
% 15.03/15.41 Z := Z
% 15.03/15.41 T := T
% 15.03/15.41 U := U
% 15.03/15.41 W := W
% 15.03/15.41 end
% 15.03/15.41 permutation0:
% 15.03/15.41 0 ==> 0
% 15.03/15.41 1 ==> 1
% 15.03/15.41 2 ==> 2
% 15.03/15.41 end
% 15.03/15.41
% 15.03/15.41 subsumption: (13) {G0,W10,D2,L2,V4,M2} I { ! cyclic( X, Y, Z, T ), cyclic(
% 15.03/15.41 X, Y, T, Z ) }.
% 15.03/15.41 parent0: (59005) {G0,W10,D2,L2,V4,M2} { ! cyclic( X, Y, Z, T ), cyclic( X
% 15.03/15.41 , Y, T, Z ) }.
% 15.03/15.41 substitution0:
% 15.03/15.41 X := X
% 15.03/15.41 Y := Y
% 15.03/15.41 Z := Z
% 15.03/15.41 T := T
% 15.03/15.41 end
% 15.03/15.41 permutation0:
% 15.03/15.41 0 ==> 0
% 15.03/15.41 1 ==> 1
% 15.03/15.41 end
% 15.03/15.41
% 15.03/15.41 subsumption: (14) {G0,W10,D2,L2,V4,M2} I { ! cyclic( X, Y, Z, T ), cyclic(
% 15.03/15.41 X, Z, Y, T ) }.
% 15.03/15.41 parent0: (59006) {G0,W10,D2,L2,V4,M2} { ! cyclic( X, Y, Z, T ), cyclic( X
% 15.03/15.41 , Z, Y, T ) }.
% 15.03/15.41 substitution0:
% 15.03/15.41 X := X
% 15.03/15.41 Y := Y
% 15.03/15.41 Z := Z
% 15.03/15.41 T := T
% 15.03/15.41 end
% 15.03/15.41 permutation0:
% 15.03/15.41 0 ==> 0
% 15.03/15.41 1 ==> 1
% 15.03/15.41 end
% 15.03/15.41
% 15.03/15.41 subsumption: (15) {G0,W10,D2,L2,V4,M2} I { ! cyclic( X, Y, Z, T ), cyclic(
% 15.03/15.41 Y, X, Z, T ) }.
% 15.03/15.41 parent0: (59007) {G0,W10,D2,L2,V4,M2} { ! cyclic( X, Y, Z, T ), cyclic( Y
% 15.03/15.41 , X, Z, T ) }.
% 15.03/15.41 substitution0:
% 15.03/15.41 X := X
% 15.03/15.41 Y := Y
% 15.03/15.41 Z := Z
% 15.03/15.41 T := T
% 15.03/15.41 end
% 15.03/15.41 permutation0:
% 15.03/15.41 0 ==> 0
% 15.03/15.41 1 ==> 1
% 15.03/15.41 end
% 15.03/15.41
% 15.03/15.41 subsumption: (16) {G0,W15,D2,L3,V5,M3} I { ! cyclic( U, X, Y, Z ), ! cyclic
% 15.03/15.41 ( U, X, Y, T ), cyclic( X, Y, Z, T ) }.
% 15.03/15.41 parent0: (59008) {G0,W15,D2,L3,V5,M3} { ! cyclic( U, X, Y, Z ), ! cyclic(
% 15.03/15.41 U, X, Y, T ), cyclic( X, Y, Z, T ) }.
% 15.03/15.41 substitution0:
% 15.03/15.41 X := X
% 15.03/15.41 Y := Y
% 15.03/15.41 Z := Z
% 15.03/15.41 T := T
% 15.03/15.41 U := U
% 15.03/15.41 end
% 15.03/15.41 permutation0:
% 15.03/15.41 0 ==> 0
% 15.03/15.41 1 ==> 1
% 15.03/15.41 2 ==> 2
% 15.03/15.41 end
% 15.03/15.41
% 15.03/15.41 subsumption: (18) {G0,W18,D2,L2,V8,M2} I { ! eqangle( X, Y, Z, T, U, W, V0
% 15.03/15.41 , V1 ), eqangle( Z, T, X, Y, V0, V1, U, W ) }.
% 15.03/15.41 parent0: (59010) {G0,W18,D2,L2,V8,M2} { ! eqangle( X, Y, Z, T, U, W, V0,
% 15.03/15.41 V1 ), eqangle( Z, T, X, Y, V0, V1, U, W ) }.
% 15.03/15.41 substitution0:
% 15.03/15.41 X := X
% 15.03/15.41 Y := Y
% 15.03/15.41 Z := Z
% 15.03/15.41 T := T
% 15.03/15.41 U := U
% 15.03/15.41 W := W
% 15.03/15.41 V0 := V0
% 15.03/15.41 V1 := V1
% 15.03/15.41 end
% 15.03/15.41 permutation0:
% 15.03/15.41 0 ==> 0
% 15.03/15.41 1 ==> 1
% 15.03/15.41 end
% 15.03/15.41
% 15.03/15.41 subsumption: (19) {G0,W18,D2,L2,V8,M2} I { ! eqangle( X, Y, Z, T, U, W, V0
% 15.03/15.41 , V1 ), eqangle( U, W, V0, V1, X, Y, Z, T ) }.
% 15.03/15.41 parent0: (59011) {G0,W18,D2,L2,V8,M2} { ! eqangle( X, Y, Z, T, U, W, V0,
% 15.03/15.41 V1 ), eqangle( U, W, V0, V1, X, Y, Z, T ) }.
% 15.03/15.41 substitution0:
% 15.03/15.41 X := X
% 15.03/15.41 Y := Y
% 15.03/15.41 Z := Z
% 15.03/15.41 T := T
% 15.03/15.41 U := U
% 15.03/15.41 W := W
% 15.03/15.41 V0 := V0
% 15.03/15.41 V1 := V1
% 15.03/15.41 end
% 15.03/15.41 permutation0:
% 15.03/15.41 0 ==> 0
% 15.03/15.41 1 ==> 1
% 15.03/15.41 end
% 15.03/15.41
% 15.03/15.41 subsumption: (22) {G0,W10,D2,L2,V4,M2} I { ! cong( X, Y, Z, T ), cong( X, Y
% 15.03/15.41 , T, Z ) }.
% 15.03/15.41 parent0: (59014) {G0,W10,D2,L2,V4,M2} { ! cong( X, Y, Z, T ), cong( X, Y,
% 15.03/15.41 T, Z ) }.
% 15.03/15.41 substitution0:
% 15.03/15.41 X := X
% 15.03/15.41 Y := Y
% 15.03/15.41 Z := Z
% 15.03/15.41 T := T
% 15.03/15.41 end
% 15.03/15.41 permutation0:
% 15.03/15.41 0 ==> 0
% 15.03/15.41 1 ==> 1
% 15.03/15.41 end
% 15.03/15.41
% 15.03/15.41 subsumption: (23) {G0,W10,D2,L2,V4,M2} I { ! cong( X, Y, Z, T ), cong( Z, T
% 15.03/15.41 , X, Y ) }.
% 15.03/15.41 parent0: (59015) {G0,W10,D2,L2,V4,M2} { ! cong( X, Y, Z, T ), cong( Z, T,
% 15.03/15.41 X, Y ) }.
% 15.03/15.41 substitution0:
% 15.03/15.41 X := X
% 15.03/15.41 Y := Y
% 15.03/15.41 Z := Z
% 15.03/15.41 T := T
% 15.03/15.41 end
% 15.03/15.41 permutation0:
% 15.03/15.41 0 ==> 0
% 15.03/15.41 1 ==> 1
% 15.03/15.41 end
% 15.03/15.41
% 15.03/15.41 subsumption: (24) {G0,W15,D2,L3,V6,M3} I { ! cong( X, Y, U, W ), ! cong( U
% 15.03/15.41 , W, Z, T ), cong( X, Y, Z, T ) }.
% 15.03/15.41 parent0: (59016) {G0,W15,D2,L3,V6,M3} { ! cong( X, Y, U, W ), ! cong( U, W
% 15.03/15.41 , Z, T ), cong( X, Y, Z, T ) }.
% 15.03/15.41 substitution0:
% 15.03/15.41 X := X
% 15.03/15.41 Y := Y
% 15.03/15.41 Z := Z
% 15.03/15.41 T := T
% 15.03/15.41 U := U
% 15.03/15.41 W := W
% 15.03/15.41 end
% 15.03/15.41 permutation0:
% 15.03/15.41 0 ==> 0
% 15.03/15.41 1 ==> 1
% 15.03/15.41 2 ==> 2
% 15.03/15.41 end
% 15.03/15.41
% 15.03/15.41 subsumption: (39) {G0,W14,D2,L2,V6,M2} I { ! para( X, Y, Z, T ), eqangle( X
% 15.03/15.41 , Y, U, W, Z, T, U, W ) }.
% 15.03/15.41 parent0: (59031) {G0,W14,D2,L2,V6,M2} { ! para( X, Y, Z, T ), eqangle( X,
% 15.03/15.41 Y, U, W, Z, T, U, W ) }.
% 15.03/15.41 substitution0:
% 15.03/15.41 X := X
% 15.03/15.41 Y := Y
% 15.03/15.41 Z := Z
% 15.03/15.41 T := T
% 15.03/15.41 U := U
% 15.03/15.41 W := W
% 15.03/15.41 end
% 15.03/15.41 permutation0:
% 15.03/15.41 0 ==> 0
% 15.03/15.41 1 ==> 1
% 15.03/15.41 end
% 15.03/15.41
% 15.03/15.41 subsumption: (40) {G0,W14,D2,L2,V4,M2} I { ! cyclic( X, Y, Z, T ), eqangle
% 15.03/15.41 ( Z, X, Z, Y, T, X, T, Y ) }.
% 15.03/15.41 parent0: (59032) {G0,W14,D2,L2,V4,M2} { ! cyclic( X, Y, Z, T ), eqangle( Z
% 15.03/15.41 , X, Z, Y, T, X, T, Y ) }.
% 15.03/15.41 substitution0:
% 15.03/15.41 X := X
% 15.03/15.41 Y := Y
% 15.03/15.41 Z := Z
% 15.03/15.41 T := T
% 15.03/15.41 end
% 15.03/15.41 permutation0:
% 15.03/15.41 0 ==> 0
% 15.03/15.41 1 ==> 1
% 15.03/15.41 end
% 15.03/15.41
% 15.03/15.41 subsumption: (42) {G0,W18,D2,L3,V4,M3} I { ! eqangle( Z, X, Z, Y, T, X, T,
% 15.03/15.41 Y ), ! coll( Z, T, Y ), cyclic( X, Y, Z, T ) }.
% 15.03/15.41 parent0: (59034) {G0,W18,D2,L3,V4,M3} { ! eqangle( Z, X, Z, Y, T, X, T, Y
% 15.03/15.41 ), ! coll( Z, T, Y ), cyclic( X, Y, Z, T ) }.
% 15.03/15.41 substitution0:
% 15.03/15.41 X := X
% 15.03/15.41 Y := Y
% 15.03/15.41 Z := Z
% 15.03/15.41 T := T
% 15.03/15.41 end
% 15.03/15.41 permutation0:
% 15.03/15.41 0 ==> 0
% 15.03/15.41 1 ==> 1
% 15.03/15.41 2 ==> 2
% 15.03/15.41 end
% 15.03/15.41
% 15.03/15.41 subsumption: (43) {G0,W29,D2,L5,V6,M5} I { ! cyclic( X, Y, U, Z ), ! cyclic
% 15.03/15.41 ( X, Y, U, T ), ! cyclic( X, Y, U, W ), ! eqangle( U, X, U, Y, W, Z, W, T
% 15.03/15.41 ), cong( X, Y, Z, T ) }.
% 15.03/15.41 parent0: (59035) {G0,W29,D2,L5,V6,M5} { ! cyclic( X, Y, U, Z ), ! cyclic(
% 15.03/15.41 X, Y, U, T ), ! cyclic( X, Y, U, W ), ! eqangle( U, X, U, Y, W, Z, W, T )
% 15.03/15.41 , cong( X, Y, Z, T ) }.
% 15.03/15.41 substitution0:
% 15.03/15.41 X := X
% 15.03/15.41 Y := Y
% 15.03/15.41 Z := Z
% 15.03/15.41 T := T
% 15.03/15.41 U := U
% 15.03/15.41 W := W
% 15.03/15.41 end
% 15.03/15.41 permutation0:
% 15.03/15.41 0 ==> 0
% 15.03/15.41 1 ==> 1
% 15.03/15.41 2 ==> 2
% 15.03/15.41 3 ==> 3
% 15.03/15.41 4 ==> 4
% 15.03/15.41 end
% 15.03/15.41
% 15.03/15.41 subsumption: (52) {G0,W14,D2,L3,V4,M3} I { ! perp( X, Y, Y, T ), ! midp( Z
% 15.03/15.41 , X, T ), cong( X, Z, Y, Z ) }.
% 15.03/15.41 parent0: (59044) {G0,W14,D2,L3,V4,M3} { ! perp( X, Y, Y, T ), ! midp( Z, X
% 15.03/15.41 , T ), cong( X, Z, Y, Z ) }.
% 15.03/15.41 substitution0:
% 15.03/15.41 X := X
% 15.03/15.41 Y := Y
% 15.03/15.41 Z := Z
% 15.03/15.41 T := T
% 15.03/15.41 end
% 15.03/15.41 permutation0:
% 15.03/15.41 0 ==> 0
% 15.03/15.41 1 ==> 1
% 15.03/15.41 2 ==> 2
% 15.03/15.41 end
% 15.03/15.41
% 15.03/15.41 subsumption: (56) {G0,W15,D2,L3,V4,M3} I { ! cong( X, Z, Y, Z ), ! cong( X
% 15.03/15.41 , T, Y, T ), perp( X, Y, Z, T ) }.
% 15.03/15.41 parent0: (59048) {G0,W15,D2,L3,V4,M3} { ! cong( X, Z, Y, Z ), ! cong( X, T
% 15.03/15.41 , Y, T ), perp( X, Y, Z, T ) }.
% 15.03/15.41 substitution0:
% 15.03/15.41 X := X
% 15.03/15.41 Y := Y
% 15.03/15.41 Z := Z
% 15.03/15.41 T := T
% 15.03/15.41 end
% 15.03/15.41 permutation0:
% 15.03/15.41 0 ==> 0
% 15.03/15.41 1 ==> 1
% 15.03/15.41 2 ==> 2
% 15.03/15.41 end
% 15.03/15.41
% 15.03/15.41 subsumption: (66) {G0,W9,D2,L2,V3,M2} I { ! para( X, Y, X, Z ), coll( X, Y
% 15.03/15.41 , Z ) }.
% 15.03/15.41 parent0: (59058) {G0,W9,D2,L2,V3,M2} { ! para( X, Y, X, Z ), coll( X, Y, Z
% 15.03/15.41 ) }.
% 15.03/15.41 substitution0:
% 15.03/15.41 X := X
% 15.03/15.41 Y := Y
% 15.03/15.41 Z := Z
% 15.03/15.41 end
% 15.03/15.41 permutation0:
% 15.03/15.41 0 ==> 0
% 15.03/15.41 1 ==> 1
% 15.03/15.41 end
% 15.03/15.41
% 15.03/15.41 subsumption: (67) {G0,W13,D2,L3,V3,M3} I { ! cong( X, Y, X, Z ), ! coll( X
% 15.03/15.41 , Y, Z ), midp( X, Y, Z ) }.
% 15.03/15.41 parent0: (59059) {G0,W13,D2,L3,V3,M3} { ! cong( X, Y, X, Z ), ! coll( X, Y
% 15.03/15.41 , Z ), midp( X, Y, Z ) }.
% 15.03/15.41 substitution0:
% 15.03/15.41 X := X
% 15.03/15.41 Y := Y
% 15.03/15.41 Z := Z
% 15.03/15.41 end
% 15.03/15.41 permutation0:
% 15.03/15.41 0 ==> 0
% 15.03/15.41 1 ==> 1
% 15.03/15.41 2 ==> 2
% 15.03/15.41 end
% 15.03/15.41
% 15.03/15.41 subsumption: (96) {G0,W14,D2,L3,V4,M3} I { ! perp( X, T, Y, Z ), ! perp( Y
% 15.03/15.41 , T, X, Z ), alpha1( X, Y, Z ) }.
% 15.03/15.41 parent0: (59089) {G0,W14,D2,L3,V4,M3} { ! perp( X, T, Y, Z ), ! perp( Y, T
% 15.03/15.41 , X, Z ), alpha1( X, Y, Z ) }.
% 15.03/15.41 substitution0:
% 15.03/15.41 X := X
% 15.03/15.41 Y := Y
% 15.03/15.41 Z := Z
% 15.03/15.41 T := T
% 15.03/15.41 end
% 15.03/15.41 permutation0:
% 15.03/15.41 0 ==> 0
% 15.03/15.41 1 ==> 1
% 15.03/15.41 2 ==> 2
% 15.03/15.41 end
% 15.03/15.41
% 15.03/15.41 subsumption: (97) {G0,W11,D3,L2,V4,M2} I { ! alpha1( X, Y, Z ), coll(
% 15.03/15.41 skol11( X, T, Z ), Z, X ) }.
% 15.03/15.41 parent0: (59090) {G0,W11,D3,L2,V4,M2} { ! alpha1( X, Y, Z ), coll( skol11
% 15.03/15.41 ( X, T, Z ), Z, X ) }.
% 15.03/15.41 substitution0:
% 15.03/15.41 X := X
% 15.03/15.41 Y := Y
% 15.03/15.41 Z := Z
% 15.03/15.41 T := T
% 15.03/15.41 end
% 15.03/15.41 permutation0:
% 15.03/15.41 0 ==> 0
% 15.03/15.41 1 ==> 1
% 15.03/15.41 end
% 15.03/15.41
% 15.03/15.41 subsumption: (100) {G0,W12,D3,L2,V4,M2} I { ! circle( Y, X, Z, T ), perp(
% 15.03/15.41 skol12( X, Y ), X, X, Y ) }.
% 15.03/15.41 parent0: (59093) {G0,W12,D3,L2,V4,M2} { ! circle( Y, X, Z, T ), perp(
% 15.03/15.41 skol12( X, Y ), X, X, Y ) }.
% 15.03/15.41 substitution0:
% 15.03/15.41 X := X
% 15.03/15.41 Y := Y
% 15.03/15.41 Z := Z
% 15.03/15.41 T := T
% 15.03/15.41 end
% 15.03/15.41 permutation0:
% 15.03/15.41 0 ==> 0
% 15.03/15.41 1 ==> 1
% 15.03/15.41 end
% 15.03/15.41
% 15.03/15.41 subsumption: (120) {G0,W5,D2,L1,V0,M1} I { circle( skol26, skol25, skol22,
% 15.03/15.41 skol28 ) }.
% 15.03/15.41 parent0: (59113) {G0,W5,D2,L1,V0,M1} { circle( skol26, skol25, skol22,
% 15.03/15.41 skol28 ) }.
% 15.03/15.41 substitution0:
% 15.03/15.41 end
% 15.03/15.41 permutation0:
% 15.03/15.41 0 ==> 0
% 15.03/15.41 end
% 15.03/15.41
% 15.03/15.41 subsumption: (124) {G0,W5,D2,L1,V0,M1} I { ! cong( skol20, skol23, skol20,
% 15.03/15.41 skol22 ) }.
% 15.03/15.41 parent0: (59117) {G0,W5,D2,L1,V0,M1} { ! cong( skol20, skol23, skol20,
% 15.03/15.41 skol22 ) }.
% 15.03/15.41 substitution0:
% 15.03/15.41 end
% 15.03/15.41 permutation0:
% 15.03/15.41 0 ==> 0
% 15.03/15.41 end
% 15.03/15.41
% 15.03/15.41 factor: (59573) {G0,W9,D2,L2,V3,M2} { ! perp( X, Y, X, Z ), alpha1( X, X,
% 15.03/15.41 Z ) }.
% 15.03/15.41 parent0[0, 1]: (96) {G0,W14,D2,L3,V4,M3} I { ! perp( X, T, Y, Z ), ! perp(
% 15.03/15.41 Y, T, X, Z ), alpha1( X, Y, Z ) }.
% 15.03/15.41 substitution0:
% 15.03/15.41 X := X
% 15.03/15.41 Y := X
% 15.03/15.41 Z := Z
% 15.03/15.41 T := Y
% 15.03/15.41 end
% 15.03/15.41
% 15.03/15.41 subsumption: (154) {G1,W9,D2,L2,V3,M2} F(96) { ! perp( X, Y, X, Z ), alpha1
% 15.03/15.41 ( X, X, Z ) }.
% 15.03/15.41 parent0: (59573) {G0,W9,D2,L2,V3,M2} { ! perp( X, Y, X, Z ), alpha1( X, X
% 15.03/15.41 , Z ) }.
% 15.03/15.41 substitution0:
% 15.03/15.41 X := X
% 15.03/15.41 Y := Y
% 15.03/15.41 Z := Z
% 15.03/15.41 end
% 15.03/15.41 permutation0:
% 15.03/15.41 0 ==> 0
% 15.03/15.41 1 ==> 1
% 15.03/15.41 end
% 15.03/15.41
% 15.03/15.41 resolution: (59577) {G1,W12,D2,L3,V4,M3} { coll( X, Z, Y ), ! coll( Z, T,
% 15.03/15.41 X ), ! coll( Z, T, Y ) }.
% 15.03/15.41 parent0[0]: (0) {G0,W8,D2,L2,V3,M2} I { ! coll( X, Y, Z ), coll( X, Z, Y )
% 15.03/15.41 }.
% 15.03/15.41 parent1[2]: (2) {G0,W12,D2,L3,V4,M3} I { ! coll( X, T, Y ), ! coll( X, T, Z
% 15.03/15.41 ), coll( Y, Z, X ) }.
% 15.03/15.41 substitution0:
% 15.03/15.41 X := X
% 15.03/15.41 Y := Y
% 15.03/15.41 Z := Z
% 15.03/15.41 end
% 15.03/15.41 substitution1:
% 15.03/15.41 X := Z
% 15.03/15.41 Y := X
% 15.03/15.41 Z := Y
% 15.03/15.41 T := T
% 15.03/15.41 end
% 15.03/15.41
% 15.03/15.41 subsumption: (191) {G1,W12,D2,L3,V4,M3} R(2,0) { ! coll( X, Y, Z ), ! coll
% 15.03/15.41 ( X, Y, T ), coll( Z, X, T ) }.
% 15.03/15.41 parent0: (59577) {G1,W12,D2,L3,V4,M3} { coll( X, Z, Y ), ! coll( Z, T, X )
% 15.03/15.41 , ! coll( Z, T, Y ) }.
% 15.03/15.41 substitution0:
% 15.03/15.41 X := Z
% 15.03/15.41 Y := T
% 15.03/15.41 Z := X
% 15.03/15.41 T := Y
% 15.03/15.41 end
% 15.03/15.41 permutation0:
% 15.03/15.41 0 ==> 2
% 15.03/15.41 1 ==> 0
% 15.03/15.41 2 ==> 1
% 15.03/15.41 end
% 15.03/15.41
% 15.03/15.41 factor: (59579) {G1,W8,D2,L2,V3,M2} { ! coll( X, Y, Z ), coll( Z, X, Z )
% 15.03/15.41 }.
% 15.03/15.41 parent0[0, 1]: (191) {G1,W12,D2,L3,V4,M3} R(2,0) { ! coll( X, Y, Z ), !
% 15.03/15.41 coll( X, Y, T ), coll( Z, X, T ) }.
% 15.03/15.41 substitution0:
% 15.03/15.41 X := X
% 15.03/15.41 Y := Y
% 15.03/15.41 Z := Z
% 15.03/15.41 T := Z
% 15.03/15.41 end
% 15.03/15.41
% 15.03/15.41 subsumption: (196) {G2,W8,D2,L2,V3,M2} F(191) { ! coll( X, Y, Z ), coll( Z
% 15.03/15.41 , X, Z ) }.
% 15.03/15.41 parent0: (59579) {G1,W8,D2,L2,V3,M2} { ! coll( X, Y, Z ), coll( Z, X, Z )
% 15.03/15.41 }.
% 15.03/15.41 substitution0:
% 15.03/15.41 X := X
% 15.03/15.41 Y := Y
% 15.03/15.41 Z := Z
% 15.03/15.41 end
% 15.03/15.41 permutation0:
% 15.03/15.41 0 ==> 0
% 15.03/15.41 1 ==> 1
% 15.03/15.41 end
% 15.03/15.41
% 15.03/15.41 resolution: (59580) {G1,W12,D2,L3,V4,M3} { coll( Z, X, Z ), ! coll( Z, T,
% 15.03/15.41 X ), ! coll( Z, T, Y ) }.
% 15.03/15.41 parent0[0]: (196) {G2,W8,D2,L2,V3,M2} F(191) { ! coll( X, Y, Z ), coll( Z,
% 15.03/15.41 X, Z ) }.
% 15.03/15.41 parent1[2]: (2) {G0,W12,D2,L3,V4,M3} I { ! coll( X, T, Y ), ! coll( X, T, Z
% 15.03/15.41 ), coll( Y, Z, X ) }.
% 15.03/15.41 substitution0:
% 15.03/15.41 X := X
% 15.03/15.41 Y := Y
% 15.03/15.41 Z := Z
% 15.03/15.41 end
% 15.03/15.41 substitution1:
% 15.03/15.41 X := Z
% 15.03/15.41 Y := X
% 15.03/15.41 Z := Y
% 15.03/15.41 T := T
% 15.03/15.41 end
% 15.03/15.41
% 15.03/15.41 subsumption: (213) {G3,W12,D2,L3,V4,M3} R(196,2) { coll( X, Y, X ), ! coll
% 15.03/15.41 ( X, Z, Y ), ! coll( X, Z, T ) }.
% 15.03/15.41 parent0: (59580) {G1,W12,D2,L3,V4,M3} { coll( Z, X, Z ), ! coll( Z, T, X )
% 15.03/15.41 , ! coll( Z, T, Y ) }.
% 15.03/15.41 substitution0:
% 15.03/15.41 X := Y
% 15.03/15.41 Y := Y
% 15.03/15.41 Z := X
% 15.03/15.41 T := Z
% 15.03/15.41 end
% 15.03/15.41 permutation0:
% 15.03/15.41 0 ==> 0
% 15.03/15.41 1 ==> 1
% 15.03/15.41 2 ==> 1
% 15.03/15.41 end
% 15.03/15.41
% 15.03/15.41 factor: (59582) {G3,W8,D2,L2,V3,M2} { coll( X, Y, X ), ! coll( X, Z, Y )
% 15.03/15.41 }.
% 15.03/15.41 parent0[1, 2]: (213) {G3,W12,D2,L3,V4,M3} R(196,2) { coll( X, Y, X ), !
% 15.03/15.41 coll( X, Z, Y ), ! coll( X, Z, T ) }.
% 15.03/15.41 substitution0:
% 15.03/15.41 X := X
% 15.03/15.41 Y := Y
% 15.03/15.41 Z := Z
% 15.03/15.41 T := Y
% 15.03/15.41 end
% 15.03/15.41
% 15.03/15.41 subsumption: (226) {G4,W8,D2,L2,V3,M2} F(213) { coll( X, Y, X ), ! coll( X
% 15.03/15.41 , Z, Y ) }.
% 15.03/15.41 parent0: (59582) {G3,W8,D2,L2,V3,M2} { coll( X, Y, X ), ! coll( X, Z, Y )
% 15.03/15.41 }.
% 15.03/15.41 substitution0:
% 15.03/15.41 X := X
% 15.03/15.41 Y := Y
% 15.03/15.41 Z := Z
% 15.03/15.41 end
% 15.03/15.41 permutation0:
% 15.03/15.41 0 ==> 0
% 15.03/15.41 1 ==> 1
% 15.03/15.41 end
% 15.03/15.41
% 15.03/15.41 resolution: (59583) {G1,W15,D2,L3,V6,M3} { ! perp( Z, T, U, W ), para( X,
% 15.03/15.41 Y, U, W ), ! perp( Z, T, X, Y ) }.
% 15.03/15.41 parent0[0]: (8) {G0,W15,D2,L3,V6,M3} I { ! perp( X, Y, U, W ), ! perp( U, W
% 15.03/15.41 , Z, T ), para( X, Y, Z, T ) }.
% 15.03/15.41 parent1[1]: (7) {G0,W10,D2,L2,V4,M2} I { ! perp( X, Y, Z, T ), perp( Z, T,
% 15.03/15.41 X, Y ) }.
% 15.03/15.41 substitution0:
% 15.03/15.41 X := X
% 15.03/15.41 Y := Y
% 15.03/15.41 Z := U
% 15.03/15.41 T := W
% 15.03/15.41 U := Z
% 15.03/15.41 W := T
% 15.03/15.41 end
% 15.03/15.41 substitution1:
% 15.03/15.41 X := Z
% 15.03/15.41 Y := T
% 15.03/15.41 Z := X
% 15.03/15.41 T := Y
% 15.03/15.41 end
% 15.03/15.41
% 15.03/15.41 subsumption: (276) {G1,W15,D2,L3,V6,M3} R(8,7) { ! perp( X, Y, Z, T ), para
% 15.03/15.41 ( U, W, Z, T ), ! perp( X, Y, U, W ) }.
% 15.03/15.41 parent0: (59583) {G1,W15,D2,L3,V6,M3} { ! perp( Z, T, U, W ), para( X, Y,
% 15.03/15.41 U, W ), ! perp( Z, T, X, Y ) }.
% 15.03/15.41 substitution0:
% 15.03/15.41 X := U
% 15.03/15.41 Y := W
% 15.03/15.41 Z := X
% 15.03/15.41 T := Y
% 15.03/15.41 U := Z
% 15.03/15.41 W := T
% 15.03/15.41 end
% 15.03/15.41 permutation0:
% 15.03/15.41 0 ==> 0
% 15.03/15.41 1 ==> 1
% 15.03/15.41 2 ==> 2
% 15.03/15.41 end
% 15.03/15.41
% 15.03/15.41 factor: (59587) {G1,W10,D2,L2,V4,M2} { ! perp( X, Y, Z, T ), para( Z, T, Z
% 15.03/15.41 , T ) }.
% 15.03/15.41 parent0[0, 2]: (276) {G1,W15,D2,L3,V6,M3} R(8,7) { ! perp( X, Y, Z, T ),
% 15.03/15.41 para( U, W, Z, T ), ! perp( X, Y, U, W ) }.
% 15.03/15.41 substitution0:
% 15.03/15.41 X := X
% 15.03/15.41 Y := Y
% 15.03/15.41 Z := Z
% 15.03/15.41 T := T
% 15.03/15.41 U := Z
% 15.03/15.41 W := T
% 15.03/15.41 end
% 15.03/15.41
% 15.03/15.41 subsumption: (292) {G2,W10,D2,L2,V4,M2} F(276) { ! perp( X, Y, Z, T ), para
% 15.03/15.41 ( Z, T, Z, T ) }.
% 15.03/15.41 parent0: (59587) {G1,W10,D2,L2,V4,M2} { ! perp( X, Y, Z, T ), para( Z, T,
% 15.03/15.41 Z, T ) }.
% 15.03/15.41 substitution0:
% 15.03/15.41 X := X
% 15.03/15.41 Y := Y
% 15.03/15.41 Z := Z
% 15.03/15.41 T := T
% 15.03/15.41 end
% 15.03/15.41 permutation0:
% 15.03/15.41 0 ==> 0
% 15.03/15.41 1 ==> 1
% 15.03/15.41 end
% 15.03/15.41
% 15.03/15.41 resolution: (59589) {G1,W10,D2,L2,V4,M2} { cyclic( X, Y, T, Z ), ! cyclic
% 15.03/15.41 ( X, Z, Y, T ) }.
% 15.03/15.41 parent0[0]: (13) {G0,W10,D2,L2,V4,M2} I { ! cyclic( X, Y, Z, T ), cyclic( X
% 15.03/15.41 , Y, T, Z ) }.
% 15.03/15.41 parent1[1]: (14) {G0,W10,D2,L2,V4,M2} I { ! cyclic( X, Y, Z, T ), cyclic( X
% 15.03/15.41 , Z, Y, T ) }.
% 15.03/15.41 substitution0:
% 15.03/15.41 X := X
% 15.03/15.41 Y := Y
% 15.03/15.41 Z := Z
% 15.03/15.41 T := T
% 15.03/15.41 end
% 15.03/15.41 substitution1:
% 15.03/15.41 X := X
% 15.03/15.41 Y := Z
% 15.03/15.41 Z := Y
% 15.03/15.41 T := T
% 15.03/15.41 end
% 15.03/15.41
% 15.03/15.41 subsumption: (351) {G1,W10,D2,L2,V4,M2} R(14,13) { ! cyclic( X, Y, Z, T ),
% 15.03/15.41 cyclic( X, Z, T, Y ) }.
% 15.03/15.41 parent0: (59589) {G1,W10,D2,L2,V4,M2} { cyclic( X, Y, T, Z ), ! cyclic( X
% 15.03/15.41 , Z, Y, T ) }.
% 15.03/15.41 substitution0:
% 15.03/15.41 X := X
% 15.03/15.41 Y := Z
% 15.03/15.41 Z := Y
% 15.03/15.41 T := T
% 15.03/15.41 end
% 15.03/15.41 permutation0:
% 15.03/15.41 0 ==> 1
% 15.03/15.41 1 ==> 0
% 15.03/15.41 end
% 15.03/15.41
% 15.03/15.41 resolution: (59590) {G1,W10,D2,L2,V4,M2} { cyclic( Y, X, Z, T ), ! cyclic
% 15.03/15.41 ( X, Z, Y, T ) }.
% 15.03/15.41 parent0[0]: (15) {G0,W10,D2,L2,V4,M2} I { ! cyclic( X, Y, Z, T ), cyclic( Y
% 15.03/15.41 , X, Z, T ) }.
% 15.03/15.41 parent1[1]: (14) {G0,W10,D2,L2,V4,M2} I { ! cyclic( X, Y, Z, T ), cyclic( X
% 15.03/15.41 , Z, Y, T ) }.
% 15.03/15.41 substitution0:
% 15.03/15.41 X := X
% 15.03/15.41 Y := Y
% 15.03/15.41 Z := Z
% 15.03/15.41 T := T
% 15.03/15.41 end
% 15.03/15.41 substitution1:
% 15.03/15.41 X := X
% 15.03/15.41 Y := Z
% 15.03/15.41 Z := Y
% 15.03/15.41 T := T
% 15.03/15.41 end
% 15.03/15.41
% 15.03/15.41 subsumption: (368) {G1,W10,D2,L2,V4,M2} R(15,14) { cyclic( X, Y, Z, T ), !
% 15.03/15.41 cyclic( Y, Z, X, T ) }.
% 15.03/15.41 parent0: (59590) {G1,W10,D2,L2,V4,M2} { cyclic( Y, X, Z, T ), ! cyclic( X
% 15.03/15.41 , Z, Y, T ) }.
% 15.03/15.41 substitution0:
% 15.03/15.41 X := Y
% 15.03/15.41 Y := X
% 15.03/15.41 Z := Z
% 15.03/15.41 T := T
% 15.03/15.41 end
% 15.03/15.41 permutation0:
% 15.03/15.41 0 ==> 0
% 15.03/15.41 1 ==> 1
% 15.03/15.41 end
% 15.03/15.41
% 15.03/15.41 resolution: (59591) {G1,W10,D2,L2,V4,M2} { cyclic( Y, X, Z, T ), ! cyclic
% 15.03/15.41 ( X, Y, T, Z ) }.
% 15.03/15.41 parent0[0]: (15) {G0,W10,D2,L2,V4,M2} I { ! cyclic( X, Y, Z, T ), cyclic( Y
% 15.03/15.41 , X, Z, T ) }.
% 15.03/15.41 parent1[1]: (13) {G0,W10,D2,L2,V4,M2} I { ! cyclic( X, Y, Z, T ), cyclic( X
% 15.03/15.41 , Y, T, Z ) }.
% 15.03/15.41 substitution0:
% 15.03/15.41 X := X
% 15.03/15.41 Y := Y
% 15.03/15.41 Z := Z
% 15.03/15.41 T := T
% 15.03/15.41 end
% 15.03/15.41 substitution1:
% 15.03/15.41 X := X
% 15.03/15.41 Y := Y
% 15.03/15.41 Z := T
% 15.03/15.41 T := Z
% 15.03/15.41 end
% 15.03/15.41
% 15.03/15.41 subsumption: (370) {G1,W10,D2,L2,V4,M2} R(15,13) { cyclic( X, Y, Z, T ), !
% 15.03/15.41 cyclic( Y, X, T, Z ) }.
% 15.03/15.41 parent0: (59591) {G1,W10,D2,L2,V4,M2} { cyclic( Y, X, Z, T ), ! cyclic( X
% 15.03/15.41 , Y, T, Z ) }.
% 15.03/15.41 substitution0:
% 15.03/15.41 X := Y
% 15.03/15.41 Y := X
% 15.03/15.41 Z := Z
% 15.03/15.41 T := T
% 15.03/15.41 end
% 15.03/15.41 permutation0:
% 15.03/15.41 0 ==> 0
% 15.03/15.41 1 ==> 1
% 15.03/15.41 end
% 15.03/15.41
% 15.03/15.41 resolution: (59595) {G1,W15,D2,L3,V5,M3} { cyclic( Y, X, Z, T ), ! cyclic
% 15.03/15.41 ( U, X, Y, Z ), ! cyclic( U, X, Y, T ) }.
% 15.03/15.41 parent0[0]: (15) {G0,W10,D2,L2,V4,M2} I { ! cyclic( X, Y, Z, T ), cyclic( Y
% 15.03/15.41 , X, Z, T ) }.
% 15.03/15.41 parent1[2]: (16) {G0,W15,D2,L3,V5,M3} I { ! cyclic( U, X, Y, Z ), ! cyclic
% 15.03/15.41 ( U, X, Y, T ), cyclic( X, Y, Z, T ) }.
% 15.03/15.41 substitution0:
% 15.03/15.41 X := X
% 15.03/15.41 Y := Y
% 15.03/15.41 Z := Z
% 15.03/15.41 T := T
% 15.03/15.41 end
% 15.03/15.41 substitution1:
% 15.03/15.41 X := X
% 15.03/15.41 Y := Y
% 15.03/15.41 Z := Z
% 15.03/15.41 T := T
% 15.03/15.41 U := U
% 15.03/15.41 end
% 15.03/15.41
% 15.03/15.41 subsumption: (395) {G1,W15,D2,L3,V5,M3} R(16,15) { ! cyclic( X, Y, Z, T ),
% 15.03/15.41 ! cyclic( X, Y, Z, U ), cyclic( Z, Y, T, U ) }.
% 15.03/15.41 parent0: (59595) {G1,W15,D2,L3,V5,M3} { cyclic( Y, X, Z, T ), ! cyclic( U
% 15.03/15.41 , X, Y, Z ), ! cyclic( U, X, Y, T ) }.
% 15.03/15.41 substitution0:
% 15.03/15.41 X := Y
% 15.03/15.41 Y := Z
% 15.03/15.41 Z := T
% 15.03/15.41 T := U
% 15.03/15.41 U := X
% 15.03/15.41 end
% 15.03/15.41 permutation0:
% 15.03/15.41 0 ==> 2
% 15.03/15.41 1 ==> 0
% 15.03/15.41 2 ==> 1
% 15.03/15.41 end
% 15.03/15.41
% 15.03/15.41 resolution: (59598) {G1,W15,D2,L3,V5,M3} { ! cyclic( X, Y, Z, T ), cyclic
% 15.03/15.41 ( Y, Z, T, U ), ! cyclic( X, Y, U, Z ) }.
% 15.03/15.41 parent0[1]: (16) {G0,W15,D2,L3,V5,M3} I { ! cyclic( U, X, Y, Z ), ! cyclic
% 15.03/15.41 ( U, X, Y, T ), cyclic( X, Y, Z, T ) }.
% 15.03/15.41 parent1[1]: (13) {G0,W10,D2,L2,V4,M2} I { ! cyclic( X, Y, Z, T ), cyclic( X
% 15.03/15.41 , Y, T, Z ) }.
% 15.03/15.41 substitution0:
% 15.03/15.41 X := Y
% 15.03/15.41 Y := Z
% 15.03/15.41 Z := T
% 15.03/15.41 T := U
% 15.03/15.41 U := X
% 15.03/15.41 end
% 15.03/15.41 substitution1:
% 15.03/15.41 X := X
% 15.03/15.41 Y := Y
% 15.03/15.41 Z := U
% 15.03/15.41 T := Z
% 15.03/15.41 end
% 15.03/15.41
% 15.03/15.41 subsumption: (400) {G1,W15,D2,L3,V5,M3} R(16,13) { ! cyclic( X, Y, Z, T ),
% 15.03/15.41 cyclic( Y, Z, T, U ), ! cyclic( X, Y, U, Z ) }.
% 15.03/15.41 parent0: (59598) {G1,W15,D2,L3,V5,M3} { ! cyclic( X, Y, Z, T ), cyclic( Y
% 15.03/15.41 , Z, T, U ), ! cyclic( X, Y, U, Z ) }.
% 15.03/15.41 substitution0:
% 15.03/15.41 X := X
% 15.03/15.41 Y := Y
% 15.03/15.41 Z := Z
% 15.03/15.41 T := T
% 15.03/15.41 U := U
% 15.03/15.41 end
% 15.03/15.41 permutation0:
% 15.03/15.41 0 ==> 0
% 15.03/15.41 1 ==> 1
% 15.03/15.41 2 ==> 2
% 15.03/15.41 end
% 15.03/15.41
% 15.03/15.41 factor: (59600) {G1,W10,D2,L2,V4,M2} { ! cyclic( X, Y, Z, T ), cyclic( Z,
% 15.03/15.41 Y, T, T ) }.
% 15.03/15.41 parent0[0, 1]: (395) {G1,W15,D2,L3,V5,M3} R(16,15) { ! cyclic( X, Y, Z, T )
% 15.03/15.41 , ! cyclic( X, Y, Z, U ), cyclic( Z, Y, T, U ) }.
% 15.03/15.41 substitution0:
% 15.03/15.41 X := X
% 15.03/15.41 Y := Y
% 15.03/15.41 Z := Z
% 15.03/15.41 T := T
% 15.03/15.41 U := T
% 15.03/15.41 end
% 15.03/15.41
% 15.03/15.41 subsumption: (404) {G2,W10,D2,L2,V4,M2} F(395) { ! cyclic( X, Y, Z, T ),
% 15.03/15.41 cyclic( Z, Y, T, T ) }.
% 15.03/15.41 parent0: (59600) {G1,W10,D2,L2,V4,M2} { ! cyclic( X, Y, Z, T ), cyclic( Z
% 15.03/15.41 , Y, T, T ) }.
% 15.03/15.41 substitution0:
% 15.03/15.41 X := X
% 15.03/15.41 Y := Y
% 15.03/15.41 Z := Z
% 15.03/15.41 T := T
% 15.03/15.41 end
% 15.03/15.41 permutation0:
% 15.03/15.41 0 ==> 0
% 15.03/15.41 1 ==> 1
% 15.03/15.41 end
% 15.03/15.41
% 15.03/15.41 resolution: (59602) {G1,W8,D2,L2,V3,M2} { coll( Y, X, X ), ! coll( X, Z, Y
% 15.03/15.41 ) }.
% 15.03/15.41 parent0[0]: (1) {G0,W8,D2,L2,V3,M2} I { ! coll( X, Y, Z ), coll( Y, X, Z )
% 15.03/15.41 }.
% 15.03/15.41 parent1[0]: (226) {G4,W8,D2,L2,V3,M2} F(213) { coll( X, Y, X ), ! coll( X,
% 15.03/15.41 Z, Y ) }.
% 15.03/15.41 substitution0:
% 15.03/15.41 X := X
% 15.03/15.41 Y := Y
% 15.03/15.41 Z := X
% 15.03/15.41 end
% 15.03/15.41 substitution1:
% 15.03/15.41 X := X
% 15.03/15.41 Y := Y
% 15.03/15.41 Z := Z
% 15.03/15.41 end
% 15.03/15.41
% 15.03/15.41 subsumption: (466) {G5,W8,D2,L2,V3,M2} R(226,1) { ! coll( X, Y, Z ), coll(
% 15.03/15.41 Z, X, X ) }.
% 15.03/15.41 parent0: (59602) {G1,W8,D2,L2,V3,M2} { coll( Y, X, X ), ! coll( X, Z, Y )
% 15.03/15.41 }.
% 15.03/15.41 substitution0:
% 15.03/15.41 X := X
% 15.03/15.41 Y := Z
% 15.03/15.41 Z := Y
% 15.03/15.41 end
% 15.03/15.41 permutation0:
% 15.03/15.41 0 ==> 1
% 15.03/15.41 1 ==> 0
% 15.03/15.41 end
% 15.03/15.41
% 15.03/15.41 resolution: (59604) {G1,W8,D2,L2,V3,M2} { coll( X, X, Y ), ! coll( X, Z, Y
% 15.03/15.41 ) }.
% 15.03/15.41 parent0[0]: (0) {G0,W8,D2,L2,V3,M2} I { ! coll( X, Y, Z ), coll( X, Z, Y )
% 15.03/15.41 }.
% 15.03/15.41 parent1[0]: (226) {G4,W8,D2,L2,V3,M2} F(213) { coll( X, Y, X ), ! coll( X,
% 15.03/15.41 Z, Y ) }.
% 15.03/15.41 substitution0:
% 15.03/15.41 X := X
% 15.03/15.41 Y := Y
% 15.03/15.41 Z := X
% 15.03/15.41 end
% 15.03/15.41 substitution1:
% 15.03/15.41 X := X
% 15.03/15.41 Y := Y
% 15.03/15.41 Z := Z
% 15.03/15.41 end
% 15.03/15.41
% 15.03/15.41 subsumption: (468) {G5,W8,D2,L2,V3,M2} R(226,0) { ! coll( X, Y, Z ), coll(
% 15.03/15.41 X, X, Z ) }.
% 15.03/15.41 parent0: (59604) {G1,W8,D2,L2,V3,M2} { coll( X, X, Y ), ! coll( X, Z, Y )
% 15.03/15.41 }.
% 15.03/15.41 substitution0:
% 15.03/15.41 X := X
% 15.03/15.41 Y := Z
% 15.03/15.41 Z := Y
% 15.03/15.41 end
% 15.03/15.41 permutation0:
% 15.03/15.41 0 ==> 1
% 15.03/15.41 1 ==> 0
% 15.03/15.41 end
% 15.03/15.41
% 15.03/15.41 resolution: (59605) {G1,W8,D2,L2,V3,M2} { coll( Z, X, X ), ! coll( Y, X, Z
% 15.03/15.41 ) }.
% 15.03/15.41 parent0[0]: (466) {G5,W8,D2,L2,V3,M2} R(226,1) { ! coll( X, Y, Z ), coll( Z
% 15.03/15.41 , X, X ) }.
% 15.03/15.41 parent1[1]: (1) {G0,W8,D2,L2,V3,M2} I { ! coll( X, Y, Z ), coll( Y, X, Z )
% 15.03/15.41 }.
% 15.03/15.41 substitution0:
% 15.03/15.41 X := X
% 15.03/15.41 Y := Y
% 15.03/15.41 Z := Z
% 15.03/15.41 end
% 15.03/15.41 substitution1:
% 15.03/15.41 X := Y
% 15.03/15.41 Y := X
% 15.03/15.41 Z := Z
% 15.03/15.41 end
% 15.03/15.41
% 15.03/15.41 subsumption: (471) {G6,W8,D2,L2,V3,M2} R(466,1) { coll( X, Y, Y ), ! coll(
% 15.03/15.41 Z, Y, X ) }.
% 15.03/15.41 parent0: (59605) {G1,W8,D2,L2,V3,M2} { coll( Z, X, X ), ! coll( Y, X, Z )
% 15.03/15.41 }.
% 15.03/15.41 substitution0:
% 15.03/15.41 X := Y
% 15.03/15.41 Y := Z
% 15.03/15.41 Z := X
% 15.03/15.41 end
% 15.03/15.41 permutation0:
% 15.03/15.41 0 ==> 0
% 15.03/15.41 1 ==> 1
% 15.03/15.41 end
% 15.03/15.41
% 15.03/15.41 resolution: (59606) {G1,W5,D2,L1,V0,M1} { ! cong( skol20, skol23, skol22,
% 15.03/15.41 skol20 ) }.
% 15.03/15.41 parent0[0]: (124) {G0,W5,D2,L1,V0,M1} I { ! cong( skol20, skol23, skol20,
% 15.03/15.41 skol22 ) }.
% 15.03/15.41 parent1[1]: (22) {G0,W10,D2,L2,V4,M2} I { ! cong( X, Y, Z, T ), cong( X, Y
% 15.03/15.41 , T, Z ) }.
% 15.03/15.41 substitution0:
% 15.03/15.41 end
% 15.03/15.41 substitution1:
% 15.03/15.41 X := skol20
% 15.03/15.41 Y := skol23
% 15.03/15.41 Z := skol22
% 15.03/15.41 T := skol20
% 15.03/15.41 end
% 15.03/15.41
% 15.03/15.41 subsumption: (508) {G1,W5,D2,L1,V0,M1} R(22,124) { ! cong( skol20, skol23,
% 15.03/15.41 skol22, skol20 ) }.
% 15.03/15.41 parent0: (59606) {G1,W5,D2,L1,V0,M1} { ! cong( skol20, skol23, skol22,
% 15.03/15.41 skol20 ) }.
% 15.03/15.41 substitution0:
% 15.03/15.41 end
% 15.03/15.41 permutation0:
% 15.03/15.41 0 ==> 0
% 15.03/15.41 end
% 15.03/15.41
% 15.03/15.41 resolution: (59607) {G1,W5,D2,L1,V0,M1} { ! cong( skol22, skol20, skol20,
% 15.03/15.41 skol23 ) }.
% 15.03/15.41 parent0[0]: (508) {G1,W5,D2,L1,V0,M1} R(22,124) { ! cong( skol20, skol23,
% 15.03/15.41 skol22, skol20 ) }.
% 15.03/15.41 parent1[1]: (23) {G0,W10,D2,L2,V4,M2} I { ! cong( X, Y, Z, T ), cong( Z, T
% 15.03/15.41 , X, Y ) }.
% 15.03/15.41 substitution0:
% 15.03/15.41 end
% 15.03/15.41 substitution1:
% 15.03/15.41 X := skol22
% 15.03/15.41 Y := skol20
% 15.03/15.41 Z := skol20
% 15.03/15.41 T := skol23
% 15.03/15.41 end
% 15.03/15.41
% 15.03/15.41 subsumption: (518) {G2,W5,D2,L1,V0,M1} R(23,508) { ! cong( skol22, skol20,
% 15.03/15.41 skol20, skol23 ) }.
% 15.03/15.41 parent0: (59607) {G1,W5,D2,L1,V0,M1} { ! cong( skol22, skol20, skol20,
% 15.03/15.41 skol23 ) }.
% 15.03/15.41 substitution0:
% 15.03/15.41 end
% 15.03/15.41 permutation0:
% 15.03/15.41 0 ==> 0
% 15.03/15.41 end
% 15.03/15.41
% 15.03/15.41 resolution: (59608) {G1,W5,D2,L1,V0,M1} { ! cong( skol22, skol20, skol23,
% 15.03/15.41 skol20 ) }.
% 15.03/15.41 parent0[0]: (518) {G2,W5,D2,L1,V0,M1} R(23,508) { ! cong( skol22, skol20,
% 15.03/15.41 skol20, skol23 ) }.
% 15.03/15.41 parent1[1]: (22) {G0,W10,D2,L2,V4,M2} I { ! cong( X, Y, Z, T ), cong( X, Y
% 15.03/15.41 , T, Z ) }.
% 15.03/15.41 substitution0:
% 15.03/15.41 end
% 15.03/15.41 substitution1:
% 15.03/15.41 X := skol22
% 15.03/15.41 Y := skol20
% 15.03/15.41 Z := skol23
% 15.03/15.41 T := skol20
% 15.03/15.41 end
% 15.03/15.41
% 15.03/15.41 subsumption: (530) {G3,W5,D2,L1,V0,M1} R(518,22) { ! cong( skol22, skol20,
% 15.03/15.41 skol23, skol20 ) }.
% 15.03/15.41 parent0: (59608) {G1,W5,D2,L1,V0,M1} { ! cong( skol22, skol20, skol23,
% 15.03/15.41 skol20 ) }.
% 15.03/15.41 substitution0:
% 15.03/15.41 end
% 15.03/15.41 permutation0:
% 15.03/15.41 0 ==> 0
% 15.03/15.41 end
% 15.03/15.41
% 15.03/15.41 resolution: (59609) {G1,W10,D2,L2,V2,M2} { ! cong( skol22, skol20, X, Y )
% 15.03/15.41 , ! cong( X, Y, skol23, skol20 ) }.
% 15.03/15.41 parent0[0]: (530) {G3,W5,D2,L1,V0,M1} R(518,22) { ! cong( skol22, skol20,
% 15.03/15.41 skol23, skol20 ) }.
% 15.03/15.41 parent1[2]: (24) {G0,W15,D2,L3,V6,M3} I { ! cong( X, Y, U, W ), ! cong( U,
% 15.03/15.41 W, Z, T ), cong( X, Y, Z, T ) }.
% 15.03/15.41 substitution0:
% 15.03/15.41 end
% 15.03/15.41 substitution1:
% 15.03/15.41 X := skol22
% 15.03/15.41 Y := skol20
% 15.03/15.41 Z := skol23
% 15.03/15.41 T := skol20
% 15.03/15.41 U := X
% 15.03/15.41 W := Y
% 15.03/15.41 end
% 15.03/15.41
% 15.03/15.41 subsumption: (537) {G4,W10,D2,L2,V2,M2} R(24,530) { ! cong( skol22, skol20
% 15.03/15.41 , X, Y ), ! cong( X, Y, skol23, skol20 ) }.
% 15.03/15.41 parent0: (59609) {G1,W10,D2,L2,V2,M2} { ! cong( skol22, skol20, X, Y ), !
% 15.03/15.41 cong( X, Y, skol23, skol20 ) }.
% 15.03/15.41 substitution0:
% 15.03/15.41 X := X
% 15.03/15.41 Y := Y
% 15.03/15.41 end
% 15.03/15.41 permutation0:
% 15.03/15.41 0 ==> 0
% 15.03/15.41 1 ==> 1
% 15.03/15.41 end
% 15.03/15.41
% 15.03/15.41 resolution: (59610) {G1,W14,D2,L2,V6,M2} { eqangle( Z, T, X, Y, Z, T, U, W
% 15.03/15.41 ), ! para( X, Y, U, W ) }.
% 15.03/15.41 parent0[0]: (18) {G0,W18,D2,L2,V8,M2} I { ! eqangle( X, Y, Z, T, U, W, V0,
% 15.03/15.41 V1 ), eqangle( Z, T, X, Y, V0, V1, U, W ) }.
% 15.03/15.41 parent1[1]: (39) {G0,W14,D2,L2,V6,M2} I { ! para( X, Y, Z, T ), eqangle( X
% 15.03/15.41 , Y, U, W, Z, T, U, W ) }.
% 15.03/15.41 substitution0:
% 15.03/15.41 X := X
% 15.03/15.41 Y := Y
% 15.03/15.41 Z := Z
% 15.03/15.41 T := T
% 15.03/15.41 U := U
% 15.03/15.41 W := W
% 15.03/15.41 V0 := Z
% 15.03/15.41 V1 := T
% 15.03/15.41 end
% 15.03/15.41 substitution1:
% 15.03/15.41 X := X
% 15.03/15.41 Y := Y
% 15.03/15.41 Z := U
% 15.03/15.41 T := W
% 15.03/15.41 U := Z
% 15.03/15.41 W := T
% 15.03/15.41 end
% 15.03/15.41
% 15.03/15.41 subsumption: (766) {G1,W14,D2,L2,V6,M2} R(39,18) { ! para( X, Y, Z, T ),
% 15.03/15.41 eqangle( U, W, X, Y, U, W, Z, T ) }.
% 15.03/15.41 parent0: (59610) {G1,W14,D2,L2,V6,M2} { eqangle( Z, T, X, Y, Z, T, U, W )
% 15.03/15.41 , ! para( X, Y, U, W ) }.
% 15.03/15.41 substitution0:
% 15.03/15.41 X := X
% 15.03/15.41 Y := Y
% 15.03/15.41 Z := U
% 15.03/15.41 T := W
% 15.03/15.41 U := Z
% 15.03/15.41 W := T
% 15.03/15.41 end
% 15.03/15.41 permutation0:
% 15.03/15.41 0 ==> 1
% 15.03/15.41 1 ==> 0
% 15.03/15.41 end
% 15.03/15.41
% 15.03/15.41 resolution: (59611) {G1,W18,D2,L3,V4,M3} { ! coll( X, T, Z ), cyclic( Y, Z
% 15.03/15.41 , X, T ), ! eqangle( T, Y, T, Z, X, Y, X, Z ) }.
% 15.03/15.41 parent0[0]: (42) {G0,W18,D2,L3,V4,M3} I { ! eqangle( Z, X, Z, Y, T, X, T, Y
% 15.03/15.41 ), ! coll( Z, T, Y ), cyclic( X, Y, Z, T ) }.
% 15.03/15.41 parent1[1]: (19) {G0,W18,D2,L2,V8,M2} I { ! eqangle( X, Y, Z, T, U, W, V0,
% 15.03/15.41 V1 ), eqangle( U, W, V0, V1, X, Y, Z, T ) }.
% 15.03/15.41 substitution0:
% 15.03/15.41 X := Y
% 15.03/15.41 Y := Z
% 15.03/15.41 Z := X
% 15.03/15.41 T := T
% 15.03/15.41 end
% 15.03/15.41 substitution1:
% 15.03/15.41 X := T
% 15.03/15.41 Y := Y
% 15.03/15.41 Z := T
% 15.03/15.41 T := Z
% 15.03/15.41 U := X
% 15.03/15.41 W := Y
% 15.03/15.41 V0 := X
% 15.03/15.41 V1 := Z
% 15.03/15.41 end
% 15.03/15.41
% 15.03/15.41 subsumption: (897) {G1,W18,D2,L3,V4,M3} R(42,19) { ! coll( X, Y, Z ),
% 15.03/15.41 cyclic( T, Z, X, Y ), ! eqangle( Y, T, Y, Z, X, T, X, Z ) }.
% 15.03/15.41 parent0: (59611) {G1,W18,D2,L3,V4,M3} { ! coll( X, T, Z ), cyclic( Y, Z, X
% 15.03/15.41 , T ), ! eqangle( T, Y, T, Z, X, Y, X, Z ) }.
% 15.03/15.41 substitution0:
% 15.03/15.41 X := X
% 15.03/15.41 Y := T
% 15.03/15.41 Z := Z
% 15.03/15.41 T := Y
% 15.03/15.41 end
% 15.03/15.41 permutation0:
% 15.03/15.41 0 ==> 0
% 15.03/15.41 1 ==> 1
% 15.03/15.41 2 ==> 2
% 15.03/15.41 end
% 15.03/15.41
% 15.03/15.41 resolution: (59612) {G1,W25,D2,L5,V4,M5} { ! cyclic( X, Y, Z, X ), !
% 15.03/15.41 cyclic( X, Y, Z, Y ), ! cyclic( X, Y, Z, T ), cong( X, Y, X, Y ), !
% 15.03/15.41 cyclic( X, Y, Z, T ) }.
% 15.03/15.41 parent0[3]: (43) {G0,W29,D2,L5,V6,M5} I { ! cyclic( X, Y, U, Z ), ! cyclic
% 15.03/15.41 ( X, Y, U, T ), ! cyclic( X, Y, U, W ), ! eqangle( U, X, U, Y, W, Z, W, T
% 15.03/15.41 ), cong( X, Y, Z, T ) }.
% 15.03/15.41 parent1[1]: (40) {G0,W14,D2,L2,V4,M2} I { ! cyclic( X, Y, Z, T ), eqangle(
% 15.03/15.41 Z, X, Z, Y, T, X, T, Y ) }.
% 15.03/15.41 substitution0:
% 15.03/15.41 X := X
% 15.03/15.41 Y := Y
% 15.03/15.41 Z := X
% 15.03/15.41 T := Y
% 15.03/15.41 U := Z
% 15.03/15.41 W := T
% 15.03/15.41 end
% 15.03/15.41 substitution1:
% 15.03/15.41 X := X
% 15.03/15.41 Y := Y
% 15.03/15.41 Z := Z
% 15.03/15.41 T := T
% 15.03/15.41 end
% 15.03/15.41
% 15.03/15.41 factor: (59614) {G1,W20,D2,L4,V3,M4} { ! cyclic( X, Y, Z, X ), ! cyclic( X
% 15.03/15.41 , Y, Z, Y ), cong( X, Y, X, Y ), ! cyclic( X, Y, Z, X ) }.
% 15.03/15.41 parent0[0, 2]: (59612) {G1,W25,D2,L5,V4,M5} { ! cyclic( X, Y, Z, X ), !
% 15.03/15.41 cyclic( X, Y, Z, Y ), ! cyclic( X, Y, Z, T ), cong( X, Y, X, Y ), !
% 15.03/15.41 cyclic( X, Y, Z, T ) }.
% 15.03/15.41 substitution0:
% 15.03/15.41 X := X
% 15.03/15.41 Y := Y
% 15.03/15.41 Z := Z
% 15.03/15.41 T := X
% 15.03/15.41 end
% 15.03/15.41
% 15.03/15.41 subsumption: (968) {G1,W20,D2,L4,V4,M4} R(43,40);f { ! cyclic( X, Y, Z, X )
% 15.03/15.41 , ! cyclic( X, Y, Z, Y ), ! cyclic( X, Y, Z, T ), cong( X, Y, X, Y ) }.
% 15.03/15.41 parent0: (59614) {G1,W20,D2,L4,V3,M4} { ! cyclic( X, Y, Z, X ), ! cyclic(
% 15.03/15.41 X, Y, Z, Y ), cong( X, Y, X, Y ), ! cyclic( X, Y, Z, X ) }.
% 15.03/15.41 substitution0:
% 15.03/15.41 X := X
% 15.03/15.41 Y := Y
% 15.03/15.41 Z := Z
% 15.03/15.41 end
% 15.03/15.41 permutation0:
% 15.03/15.41 0 ==> 0
% 15.03/15.41 1 ==> 1
% 15.03/15.41 2 ==> 3
% 15.03/15.41 3 ==> 0
% 15.03/15.41 end
% 15.03/15.41
% 15.03/15.41 factor: (59619) {G1,W15,D2,L3,V3,M3} { ! cyclic( X, Y, Z, X ), ! cyclic( X
% 15.03/15.41 , Y, Z, Y ), cong( X, Y, X, Y ) }.
% 15.03/15.41 parent0[0, 2]: (968) {G1,W20,D2,L4,V4,M4} R(43,40);f { ! cyclic( X, Y, Z, X
% 15.03/15.41 ), ! cyclic( X, Y, Z, Y ), ! cyclic( X, Y, Z, T ), cong( X, Y, X, Y )
% 15.03/15.41 }.
% 15.03/15.41 substitution0:
% 15.03/15.41 X := X
% 15.03/15.41 Y := Y
% 15.03/15.41 Z := Z
% 15.03/15.41 T := X
% 15.03/15.41 end
% 15.03/15.41
% 15.03/15.41 subsumption: (1001) {G2,W15,D2,L3,V3,M3} F(968) { ! cyclic( X, Y, Z, X ), !
% 15.03/15.41 cyclic( X, Y, Z, Y ), cong( X, Y, X, Y ) }.
% 15.03/15.41 parent0: (59619) {G1,W15,D2,L3,V3,M3} { ! cyclic( X, Y, Z, X ), ! cyclic(
% 15.03/15.41 X, Y, Z, Y ), cong( X, Y, X, Y ) }.
% 15.03/15.41 substitution0:
% 15.03/15.41 X := X
% 15.03/15.41 Y := Y
% 15.03/15.41 Z := Z
% 15.03/15.41 end
% 15.03/15.41 permutation0:
% 15.03/15.41 0 ==> 0
% 15.03/15.41 1 ==> 1
% 15.03/15.41 2 ==> 2
% 15.03/15.41 end
% 15.03/15.41
% 15.03/15.41 resolution: (59621) {G1,W8,D2,L2,V3,M2} { coll( X, Y, Y ), ! alpha1( X, T
% 15.03/15.41 , Y ) }.
% 15.03/15.41 parent0[1]: (471) {G6,W8,D2,L2,V3,M2} R(466,1) { coll( X, Y, Y ), ! coll( Z
% 15.03/15.41 , Y, X ) }.
% 15.03/15.41 parent1[1]: (97) {G0,W11,D3,L2,V4,M2} I { ! alpha1( X, Y, Z ), coll( skol11
% 15.03/15.41 ( X, T, Z ), Z, X ) }.
% 15.03/15.41 substitution0:
% 15.03/15.41 X := X
% 15.03/15.41 Y := Y
% 15.03/15.41 Z := skol11( X, Z, Y )
% 15.03/15.41 end
% 15.03/15.41 substitution1:
% 15.03/15.41 X := X
% 15.03/15.41 Y := T
% 15.03/15.41 Z := Y
% 15.03/15.41 T := Z
% 15.03/15.41 end
% 15.03/15.41
% 15.03/15.41 subsumption: (4275) {G7,W8,D2,L2,V3,M2} R(97,471) { ! alpha1( X, Y, Z ),
% 15.03/15.41 coll( X, Z, Z ) }.
% 15.03/15.41 parent0: (59621) {G1,W8,D2,L2,V3,M2} { coll( X, Y, Y ), ! alpha1( X, T, Y
% 15.03/15.41 ) }.
% 15.03/15.41 substitution0:
% 15.03/15.41 X := X
% 15.03/15.41 Y := Z
% 15.03/15.41 Z := T
% 15.03/15.41 T := Y
% 15.03/15.41 end
% 15.03/15.41 permutation0:
% 15.03/15.41 0 ==> 1
% 15.03/15.41 1 ==> 0
% 15.03/15.41 end
% 15.03/15.41
% 15.03/15.41 resolution: (59622) {G1,W7,D3,L1,V0,M1} { perp( skol12( skol25, skol26 ),
% 15.03/15.41 skol25, skol25, skol26 ) }.
% 15.03/15.41 parent0[0]: (100) {G0,W12,D3,L2,V4,M2} I { ! circle( Y, X, Z, T ), perp(
% 15.03/15.41 skol12( X, Y ), X, X, Y ) }.
% 15.03/15.41 parent1[0]: (120) {G0,W5,D2,L1,V0,M1} I { circle( skol26, skol25, skol22,
% 15.03/15.41 skol28 ) }.
% 15.03/15.41 substitution0:
% 15.03/15.41 X := skol25
% 15.03/15.41 Y := skol26
% 15.03/15.41 Z := skol22
% 15.03/15.41 T := skol28
% 15.03/15.41 end
% 15.03/15.41 substitution1:
% 15.03/15.41 end
% 15.03/15.41
% 15.03/15.41 subsumption: (4701) {G1,W7,D3,L1,V0,M1} R(100,120) { perp( skol12( skol25,
% 15.03/15.41 skol26 ), skol25, skol25, skol26 ) }.
% 15.03/15.41 parent0: (59622) {G1,W7,D3,L1,V0,M1} { perp( skol12( skol25, skol26 ),
% 15.03/15.41 skol25, skol25, skol26 ) }.
% 15.03/15.41 substitution0:
% 15.03/15.41 end
% 15.03/15.41 permutation0:
% 15.03/15.41 0 ==> 0
% 15.03/15.41 end
% 15.03/15.41
% 15.03/15.41 resolution: (59623) {G2,W5,D2,L1,V0,M1} { para( skol25, skol26, skol25,
% 15.03/15.41 skol26 ) }.
% 15.03/15.41 parent0[0]: (292) {G2,W10,D2,L2,V4,M2} F(276) { ! perp( X, Y, Z, T ), para
% 15.03/15.41 ( Z, T, Z, T ) }.
% 15.03/15.41 parent1[0]: (4701) {G1,W7,D3,L1,V0,M1} R(100,120) { perp( skol12( skol25,
% 15.03/15.41 skol26 ), skol25, skol25, skol26 ) }.
% 15.03/15.41 substitution0:
% 15.03/15.41 X := skol12( skol25, skol26 )
% 15.03/15.41 Y := skol25
% 15.03/15.41 Z := skol25
% 15.03/15.41 T := skol26
% 15.03/15.41 end
% 15.03/15.41 substitution1:
% 15.03/15.41 end
% 15.03/15.41
% 15.03/15.41 subsumption: (32447) {G3,W5,D2,L1,V0,M1} R(4701,292) { para( skol25, skol26
% 15.03/15.41 , skol25, skol26 ) }.
% 15.03/15.41 parent0: (59623) {G2,W5,D2,L1,V0,M1} { para( skol25, skol26, skol25,
% 15.03/15.41 skol26 ) }.
% 15.03/15.41 substitution0:
% 15.03/15.41 end
% 15.03/15.41 permutation0:
% 15.03/15.41 0 ==> 0
% 15.03/15.41 end
% 15.03/15.41
% 15.03/15.41 resolution: (59624) {G1,W4,D2,L1,V0,M1} { coll( skol25, skol26, skol26 )
% 15.03/15.41 }.
% 15.03/15.41 parent0[0]: (66) {G0,W9,D2,L2,V3,M2} I { ! para( X, Y, X, Z ), coll( X, Y,
% 15.03/15.41 Z ) }.
% 15.03/15.41 parent1[0]: (32447) {G3,W5,D2,L1,V0,M1} R(4701,292) { para( skol25, skol26
% 15.03/15.41 , skol25, skol26 ) }.
% 15.03/15.41 substitution0:
% 15.03/15.41 X := skol25
% 15.03/15.41 Y := skol26
% 15.03/15.41 Z := skol26
% 15.03/15.41 end
% 15.03/15.41 substitution1:
% 15.03/15.41 end
% 15.03/15.41
% 15.03/15.41 subsumption: (32476) {G4,W4,D2,L1,V0,M1} R(32447,66) { coll( skol25, skol26
% 15.03/15.41 , skol26 ) }.
% 15.03/15.41 parent0: (59624) {G1,W4,D2,L1,V0,M1} { coll( skol25, skol26, skol26 ) }.
% 15.03/15.41 substitution0:
% 15.03/15.41 end
% 15.03/15.41 permutation0:
% 15.03/15.41 0 ==> 0
% 15.03/15.41 end
% 15.03/15.41
% 15.03/15.41 resolution: (59625) {G5,W4,D2,L1,V0,M1} { coll( skol25, skol25, skol26 )
% 15.03/15.41 }.
% 15.03/15.41 parent0[0]: (468) {G5,W8,D2,L2,V3,M2} R(226,0) { ! coll( X, Y, Z ), coll( X
% 15.03/15.41 , X, Z ) }.
% 15.03/15.41 parent1[0]: (32476) {G4,W4,D2,L1,V0,M1} R(32447,66) { coll( skol25, skol26
% 15.03/15.41 , skol26 ) }.
% 15.03/15.41 substitution0:
% 15.03/15.41 X := skol25
% 15.03/15.41 Y := skol26
% 15.03/15.41 Z := skol26
% 15.03/15.41 end
% 15.03/15.41 substitution1:
% 15.03/15.41 end
% 15.03/15.41
% 15.03/15.41 subsumption: (32495) {G6,W4,D2,L1,V0,M1} R(32476,468) { coll( skol25,
% 15.03/15.41 skol25, skol26 ) }.
% 15.03/15.41 parent0: (59625) {G5,W4,D2,L1,V0,M1} { coll( skol25, skol25, skol26 ) }.
% 15.03/15.41 substitution0:
% 15.03/15.41 end
% 15.03/15.41 permutation0:
% 15.03/15.41 0 ==> 0
% 15.03/15.41 end
% 15.03/15.41
% 15.03/15.41 resolution: (59626) {G2,W9,D2,L1,V2,M1} { eqangle( X, Y, skol25, skol26, X
% 15.03/15.41 , Y, skol25, skol26 ) }.
% 15.03/15.41 parent0[0]: (766) {G1,W14,D2,L2,V6,M2} R(39,18) { ! para( X, Y, Z, T ),
% 15.03/15.41 eqangle( U, W, X, Y, U, W, Z, T ) }.
% 15.03/15.41 parent1[0]: (32447) {G3,W5,D2,L1,V0,M1} R(4701,292) { para( skol25, skol26
% 15.03/15.41 , skol25, skol26 ) }.
% 15.03/15.41 substitution0:
% 15.03/15.41 X := skol25
% 15.03/15.41 Y := skol26
% 15.03/15.41 Z := skol25
% 15.03/15.41 T := skol26
% 15.03/15.41 U := X
% 15.03/15.41 W := Y
% 15.03/15.41 end
% 15.03/15.41 substitution1:
% 15.03/15.41 end
% 15.03/15.41
% 15.03/15.41 subsumption: (48227) {G4,W9,D2,L1,V2,M1} R(766,32447) { eqangle( X, Y,
% 15.03/15.41 skol25, skol26, X, Y, skol25, skol26 ) }.
% 15.03/15.41 parent0: (59626) {G2,W9,D2,L1,V2,M1} { eqangle( X, Y, skol25, skol26, X, Y
% 15.03/15.41 , skol25, skol26 ) }.
% 15.03/15.41 substitution0:
% 15.03/15.41 X := X
% 15.03/15.41 Y := Y
% 15.03/15.41 end
% 15.03/15.41 permutation0:
% 15.03/15.41 0 ==> 0
% 15.03/15.41 end
% 15.03/15.41
% 15.03/15.41 resolution: (59627) {G2,W14,D2,L2,V1,M2} { cyclic( X, skol26, skol25,
% 15.03/15.41 skol25 ), ! eqangle( skol25, X, skol25, skol26, skol25, X, skol25, skol26
% 15.03/15.41 ) }.
% 15.03/15.41 parent0[0]: (897) {G1,W18,D2,L3,V4,M3} R(42,19) { ! coll( X, Y, Z ), cyclic
% 15.03/15.41 ( T, Z, X, Y ), ! eqangle( Y, T, Y, Z, X, T, X, Z ) }.
% 15.03/15.41 parent1[0]: (32495) {G6,W4,D2,L1,V0,M1} R(32476,468) { coll( skol25, skol25
% 15.03/15.41 , skol26 ) }.
% 15.03/15.41 substitution0:
% 15.03/15.41 X := skol25
% 15.03/15.41 Y := skol25
% 15.03/15.41 Z := skol26
% 15.03/15.41 T := X
% 15.03/15.41 end
% 15.03/15.41 substitution1:
% 15.03/15.41 end
% 15.03/15.41
% 15.03/15.41 resolution: (59628) {G3,W5,D2,L1,V1,M1} { cyclic( X, skol26, skol25,
% 15.03/15.41 skol25 ) }.
% 15.03/15.41 parent0[1]: (59627) {G2,W14,D2,L2,V1,M2} { cyclic( X, skol26, skol25,
% 15.03/15.41 skol25 ), ! eqangle( skol25, X, skol25, skol26, skol25, X, skol25, skol26
% 15.03/15.41 ) }.
% 15.03/15.41 parent1[0]: (48227) {G4,W9,D2,L1,V2,M1} R(766,32447) { eqangle( X, Y,
% 15.03/15.41 skol25, skol26, X, Y, skol25, skol26 ) }.
% 15.03/15.41 substitution0:
% 15.03/15.41 X := X
% 15.03/15.41 end
% 15.03/15.41 substitution1:
% 15.03/15.41 X := skol25
% 15.03/15.41 Y := X
% 15.03/15.41 end
% 15.03/15.41
% 15.03/15.41 subsumption: (53063) {G7,W5,D2,L1,V1,M1} R(897,32495);r(48227) { cyclic( X
% 15.03/15.41 , skol26, skol25, skol25 ) }.
% 15.03/15.41 parent0: (59628) {G3,W5,D2,L1,V1,M1} { cyclic( X, skol26, skol25, skol25 )
% 15.03/15.41 }.
% 15.03/15.41 substitution0:
% 15.03/15.41 X := X
% 15.03/15.41 end
% 15.03/15.41 permutation0:
% 15.03/15.41 0 ==> 0
% 15.03/15.41 end
% 15.03/15.41
% 15.03/15.41 resolution: (59629) {G2,W5,D2,L1,V1,M1} { cyclic( skol26, X, skol25,
% 15.03/15.41 skol25 ) }.
% 15.03/15.41 parent0[1]: (370) {G1,W10,D2,L2,V4,M2} R(15,13) { cyclic( X, Y, Z, T ), !
% 15.03/15.41 cyclic( Y, X, T, Z ) }.
% 15.03/15.41 parent1[0]: (53063) {G7,W5,D2,L1,V1,M1} R(897,32495);r(48227) { cyclic( X,
% 15.03/15.41 skol26, skol25, skol25 ) }.
% 15.03/15.41 substitution0:
% 15.03/15.41 X := skol26
% 15.03/15.41 Y := X
% 15.03/15.41 Z := skol25
% 15.03/15.41 T := skol25
% 15.03/15.41 end
% 15.03/15.41 substitution1:
% 15.03/15.41 X := X
% 15.03/15.41 end
% 15.03/15.41
% 15.03/15.41 subsumption: (53254) {G8,W5,D2,L1,V1,M1} R(53063,370) { cyclic( skol26, X,
% 15.03/15.41 skol25, skol25 ) }.
% 15.03/15.41 parent0: (59629) {G2,W5,D2,L1,V1,M1} { cyclic( skol26, X, skol25, skol25 )
% 15.03/15.41 }.
% 15.03/15.41 substitution0:
% 15.03/15.41 X := X
% 15.03/15.41 end
% 15.03/15.41 permutation0:
% 15.03/15.41 0 ==> 0
% 15.03/15.41 end
% 15.03/15.41
% 15.03/15.41 resolution: (59630) {G3,W5,D2,L1,V1,M1} { cyclic( skol25, X, skol25,
% 15.03/15.41 skol25 ) }.
% 15.03/15.41 parent0[0]: (404) {G2,W10,D2,L2,V4,M2} F(395) { ! cyclic( X, Y, Z, T ),
% 15.03/15.41 cyclic( Z, Y, T, T ) }.
% 15.03/15.41 parent1[0]: (53254) {G8,W5,D2,L1,V1,M1} R(53063,370) { cyclic( skol26, X,
% 15.03/15.41 skol25, skol25 ) }.
% 15.03/15.41 substitution0:
% 15.03/15.41 X := skol26
% 15.03/15.41 Y := X
% 15.03/15.41 Z := skol25
% 15.03/15.41 T := skol25
% 15.03/15.41 end
% 15.03/15.41 substitution1:
% 15.03/15.41 X := X
% 15.03/15.41 end
% 15.03/15.41
% 15.03/15.41 subsumption: (53266) {G9,W5,D2,L1,V1,M1} R(53254,404) { cyclic( skol25, X,
% 15.03/15.41 skol25, skol25 ) }.
% 15.03/15.41 parent0: (59630) {G3,W5,D2,L1,V1,M1} { cyclic( skol25, X, skol25, skol25 )
% 15.03/15.41 }.
% 15.03/15.41 substitution0:
% 15.03/15.41 X := X
% 15.03/15.41 end
% 15.03/15.41 permutation0:
% 15.03/15.41 0 ==> 0
% 15.03/15.41 end
% 15.03/15.41
% 15.03/15.41 resolution: (59631) {G2,W5,D2,L1,V1,M1} { cyclic( skol25, skol25, X,
% 15.03/15.41 skol25 ) }.
% 15.03/15.41 parent0[1]: (368) {G1,W10,D2,L2,V4,M2} R(15,14) { cyclic( X, Y, Z, T ), !
% 15.03/15.41 cyclic( Y, Z, X, T ) }.
% 15.03/15.41 parent1[0]: (53266) {G9,W5,D2,L1,V1,M1} R(53254,404) { cyclic( skol25, X,
% 15.03/15.41 skol25, skol25 ) }.
% 15.03/15.41 substitution0:
% 15.03/15.41 X := skol25
% 15.03/15.41 Y := skol25
% 15.03/15.41 Z := X
% 15.03/15.41 T := skol25
% 15.03/15.41 end
% 15.03/15.41 substitution1:
% 15.03/15.41 X := X
% 15.03/15.41 end
% 15.03/15.41
% 15.03/15.41 subsumption: (53288) {G10,W5,D2,L1,V1,M1} R(53266,368) { cyclic( skol25,
% 15.03/15.41 skol25, X, skol25 ) }.
% 15.03/15.41 parent0: (59631) {G2,W5,D2,L1,V1,M1} { cyclic( skol25, skol25, X, skol25 )
% 15.03/15.41 }.
% 15.03/15.41 substitution0:
% 15.03/15.41 X := X
% 15.03/15.41 end
% 15.03/15.41 permutation0:
% 15.03/15.41 0 ==> 0
% 15.03/15.41 end
% 15.03/15.41
% 15.03/15.41 resolution: (59632) {G2,W5,D2,L1,V1,M1} { cyclic( skol25, skol25, skol25,
% 15.03/15.41 X ) }.
% 15.03/15.41 parent0[0]: (351) {G1,W10,D2,L2,V4,M2} R(14,13) { ! cyclic( X, Y, Z, T ),
% 15.03/15.41 cyclic( X, Z, T, Y ) }.
% 15.03/15.41 parent1[0]: (53266) {G9,W5,D2,L1,V1,M1} R(53254,404) { cyclic( skol25, X,
% 15.03/15.41 skol25, skol25 ) }.
% 15.03/15.41 substitution0:
% 15.03/15.41 X := skol25
% 15.03/15.41 Y := X
% 15.03/15.41 Z := skol25
% 15.03/15.41 T := skol25
% 15.03/15.41 end
% 15.03/15.41 substitution1:
% 15.03/15.41 X := X
% 15.03/15.41 end
% 15.03/15.41
% 15.03/15.41 subsumption: (53289) {G10,W5,D2,L1,V1,M1} R(53266,351) { cyclic( skol25,
% 15.03/15.41 skol25, skol25, X ) }.
% 15.03/15.41 parent0: (59632) {G2,W5,D2,L1,V1,M1} { cyclic( skol25, skol25, skol25, X )
% 15.03/15.41 }.
% 15.03/15.41 substitution0:
% 15.03/15.41 X := X
% 15.03/15.41 end
% 15.03/15.41 permutation0:
% 15.03/15.41 0 ==> 0
% 15.03/15.41 end
% 15.03/15.41
% 15.03/15.41 resolution: (59634) {G2,W10,D2,L2,V2,M2} { ! cyclic( skol25, skol25,
% 15.03/15.41 skol25, X ), cyclic( skol25, skol25, X, Y ) }.
% 15.03/15.41 parent0[2]: (400) {G1,W15,D2,L3,V5,M3} R(16,13) { ! cyclic( X, Y, Z, T ),
% 15.03/15.41 cyclic( Y, Z, T, U ), ! cyclic( X, Y, U, Z ) }.
% 15.03/15.41 parent1[0]: (53288) {G10,W5,D2,L1,V1,M1} R(53266,368) { cyclic( skol25,
% 15.03/15.41 skol25, X, skol25 ) }.
% 15.03/15.41 substitution0:
% 15.03/15.41 X := skol25
% 15.03/15.41 Y := skol25
% 15.03/15.41 Z := skol25
% 15.03/15.41 T := X
% 15.03/15.41 U := Y
% 15.03/15.41 end
% 15.03/15.41 substitution1:
% 15.03/15.41 X := Y
% 15.03/15.41 end
% 15.03/15.41
% 15.03/15.41 resolution: (59635) {G3,W5,D2,L1,V2,M1} { cyclic( skol25, skol25, X, Y )
% 15.03/15.41 }.
% 15.03/15.41 parent0[0]: (59634) {G2,W10,D2,L2,V2,M2} { ! cyclic( skol25, skol25,
% 15.03/15.41 skol25, X ), cyclic( skol25, skol25, X, Y ) }.
% 15.03/15.41 parent1[0]: (53289) {G10,W5,D2,L1,V1,M1} R(53266,351) { cyclic( skol25,
% 15.03/15.41 skol25, skol25, X ) }.
% 15.03/15.41 substitution0:
% 15.03/15.41 X := X
% 15.03/15.41 Y := Y
% 15.03/15.41 end
% 15.03/15.41 substitution1:
% 15.03/15.41 X := X
% 15.03/15.41 end
% 15.03/15.41
% 15.03/15.41 subsumption: (53294) {G11,W5,D2,L1,V2,M1} R(53288,400);r(53289) { cyclic(
% 15.03/15.41 skol25, skol25, X, Y ) }.
% 15.03/15.41 parent0: (59635) {G3,W5,D2,L1,V2,M1} { cyclic( skol25, skol25, X, Y ) }.
% 15.03/15.41 substitution0:
% 15.03/15.41 X := X
% 15.03/15.41 Y := Y
% 15.03/15.41 end
% 15.03/15.41 permutation0:
% 15.03/15.41 0 ==> 0
% 15.03/15.41 end
% 15.03/15.41
% 15.03/15.41 resolution: (59636) {G2,W10,D2,L2,V3,M2} { cyclic( skol25, X, Y, Z ), !
% 15.03/15.41 cyclic( skol25, skol25, Z, X ) }.
% 15.03/15.41 parent0[0]: (400) {G1,W15,D2,L3,V5,M3} R(16,13) { ! cyclic( X, Y, Z, T ),
% 15.03/15.41 cyclic( Y, Z, T, U ), ! cyclic( X, Y, U, Z ) }.
% 15.03/15.41 parent1[0]: (53294) {G11,W5,D2,L1,V2,M1} R(53288,400);r(53289) { cyclic(
% 15.03/15.41 skol25, skol25, X, Y ) }.
% 15.03/15.41 substitution0:
% 15.03/15.41 X := skol25
% 15.03/15.41 Y := skol25
% 15.03/15.41 Z := X
% 15.03/15.41 T := Y
% 15.03/15.41 U := Z
% 15.03/15.41 end
% 15.03/15.41 substitution1:
% 15.03/15.41 X := X
% 15.03/15.41 Y := Y
% 15.03/15.41 end
% 15.03/15.41
% 15.03/15.41 resolution: (59638) {G3,W5,D2,L1,V3,M1} { cyclic( skol25, X, Y, Z ) }.
% 15.03/15.41 parent0[1]: (59636) {G2,W10,D2,L2,V3,M2} { cyclic( skol25, X, Y, Z ), !
% 15.03/15.41 cyclic( skol25, skol25, Z, X ) }.
% 15.03/15.41 parent1[0]: (53294) {G11,W5,D2,L1,V2,M1} R(53288,400);r(53289) { cyclic(
% 15.03/15.41 skol25, skol25, X, Y ) }.
% 15.03/15.41 substitution0:
% 15.03/15.41 X := X
% 15.03/15.41 Y := Y
% 15.03/15.41 Z := Z
% 15.03/15.41 end
% 15.03/15.41 substitution1:
% 15.03/15.41 X := Z
% 15.03/15.41 Y := X
% 15.03/15.41 end
% 15.03/15.41
% 15.03/15.41 subsumption: (53551) {G12,W5,D2,L1,V3,M1} R(53294,400);r(53294) { cyclic(
% 15.03/15.41 skol25, X, Y, Z ) }.
% 15.03/15.41 parent0: (59638) {G3,W5,D2,L1,V3,M1} { cyclic( skol25, X, Y, Z ) }.
% 15.03/15.41 substitution0:
% 15.03/15.41 X := X
% 15.03/15.41 Y := Y
% 15.03/15.41 Z := Z
% 15.03/15.41 end
% 15.03/15.41 permutation0:
% 15.03/15.41 0 ==> 0
% 15.03/15.41 end
% 15.03/15.41
% 15.03/15.41 resolution: (59639) {G2,W10,D2,L2,V4,M2} { cyclic( X, Y, Z, T ), ! cyclic
% 15.03/15.41 ( skol25, X, T, Y ) }.
% 15.03/15.41 parent0[0]: (400) {G1,W15,D2,L3,V5,M3} R(16,13) { ! cyclic( X, Y, Z, T ),
% 15.03/15.41 cyclic( Y, Z, T, U ), ! cyclic( X, Y, U, Z ) }.
% 15.03/15.41 parent1[0]: (53551) {G12,W5,D2,L1,V3,M1} R(53294,400);r(53294) { cyclic(
% 15.03/15.41 skol25, X, Y, Z ) }.
% 15.03/15.41 substitution0:
% 15.03/15.41 X := skol25
% 15.03/15.41 Y := X
% 15.03/15.41 Z := Y
% 15.03/15.41 T := Z
% 15.03/15.41 U := T
% 15.03/15.41 end
% 15.03/15.41 substitution1:
% 15.03/15.41 X := X
% 15.03/15.41 Y := Y
% 15.03/15.41 Z := Z
% 15.03/15.41 end
% 15.03/15.41
% 15.03/15.41 resolution: (59641) {G3,W5,D2,L1,V4,M1} { cyclic( X, Y, Z, T ) }.
% 15.03/15.41 parent0[1]: (59639) {G2,W10,D2,L2,V4,M2} { cyclic( X, Y, Z, T ), ! cyclic
% 15.03/15.41 ( skol25, X, T, Y ) }.
% 15.03/15.41 parent1[0]: (53551) {G12,W5,D2,L1,V3,M1} R(53294,400);r(53294) { cyclic(
% 15.03/15.41 skol25, X, Y, Z ) }.
% 15.03/15.41 substitution0:
% 15.03/15.41 X := X
% 15.03/15.41 Y := Y
% 15.03/15.41 Z := Z
% 15.03/15.41 T := T
% 15.03/15.41 end
% 15.03/15.41 substitution1:
% 15.03/15.41 X := X
% 15.03/15.41 Y := T
% 15.03/15.41 Z := Y
% 15.03/15.41 end
% 15.03/15.41
% 15.03/15.41 subsumption: (53570) {G13,W5,D2,L1,V4,M1} R(53551,400);r(53551) { cyclic( X
% 15.03/15.41 , Y, Z, T ) }.
% 15.03/15.41 parent0: (59641) {G3,W5,D2,L1,V4,M1} { cyclic( X, Y, Z, T ) }.
% 15.03/15.41 substitution0:
% 15.03/15.41 X := X
% 15.03/15.41 Y := Y
% 15.03/15.41 Z := Z
% 15.03/15.41 T := T
% 15.03/15.41 end
% 15.03/15.41 permutation0:
% 15.03/15.41 0 ==> 0
% 15.03/15.41 end
% 15.03/15.41
% 15.03/15.41 resolution: (59644) {G3,W10,D2,L2,V3,M2} { ! cyclic( X, Y, Z, Y ), cong( X
% 15.03/15.41 , Y, X, Y ) }.
% 15.03/15.41 parent0[0]: (1001) {G2,W15,D2,L3,V3,M3} F(968) { ! cyclic( X, Y, Z, X ), !
% 15.03/15.41 cyclic( X, Y, Z, Y ), cong( X, Y, X, Y ) }.
% 15.03/15.41 parent1[0]: (53570) {G13,W5,D2,L1,V4,M1} R(53551,400);r(53551) { cyclic( X
% 15.03/15.41 , Y, Z, T ) }.
% 15.03/15.41 substitution0:
% 15.03/15.41 X := X
% 15.03/15.41 Y := Y
% 15.03/15.41 Z := Z
% 15.03/15.41 end
% 15.03/15.41 substitution1:
% 15.03/15.41 X := X
% 15.03/15.41 Y := Y
% 15.03/15.41 Z := Z
% 15.03/15.41 T := X
% 15.03/15.41 end
% 15.03/15.41
% 15.03/15.41 resolution: (59646) {G4,W5,D2,L1,V2,M1} { cong( X, Y, X, Y ) }.
% 15.03/15.41 parent0[0]: (59644) {G3,W10,D2,L2,V3,M2} { ! cyclic( X, Y, Z, Y ), cong( X
% 15.03/15.41 , Y, X, Y ) }.
% 15.03/15.41 parent1[0]: (53570) {G13,W5,D2,L1,V4,M1} R(53551,400);r(53551) { cyclic( X
% 15.03/15.41 , Y, Z, T ) }.
% 15.03/15.41 substitution0:
% 15.03/15.41 X := X
% 15.03/15.41 Y := Y
% 15.03/15.41 Z := Z
% 15.03/15.41 end
% 15.03/15.41 substitution1:
% 15.03/15.41 X := X
% 15.03/15.41 Y := Y
% 15.03/15.41 Z := Z
% 15.03/15.41 T := Y
% 15.03/15.41 end
% 15.03/15.41
% 15.03/15.41 subsumption: (58799) {G14,W5,D2,L1,V2,M1} S(1001);r(53570);r(53570) { cong
% 15.03/15.41 ( X, Y, X, Y ) }.
% 15.03/15.41 parent0: (59646) {G4,W5,D2,L1,V2,M1} { cong( X, Y, X, Y ) }.
% 15.03/15.41 substitution0:
% 15.03/15.41 X := X
% 15.03/15.41 Y := Y
% 15.03/15.41 end
% 15.03/15.41 permutation0:
% 15.03/15.41 0 ==> 0
% 15.03/15.41 end
% 15.03/15.41
% 15.03/15.41 resolution: (59647) {G1,W10,D2,L2,V3,M2} { ! cong( X, Z, X, Z ), perp( X,
% 15.03/15.41 X, Y, Z ) }.
% 15.03/15.41 parent0[0]: (56) {G0,W15,D2,L3,V4,M3} I { ! cong( X, Z, Y, Z ), ! cong( X,
% 15.03/15.41 T, Y, T ), perp( X, Y, Z, T ) }.
% 15.03/15.41 parent1[0]: (58799) {G14,W5,D2,L1,V2,M1} S(1001);r(53570);r(53570) { cong(
% 15.03/15.41 X, Y, X, Y ) }.
% 15.03/15.41 substitution0:
% 15.03/15.41 X := X
% 15.03/15.41 Y := X
% 15.03/15.41 Z := Y
% 15.03/15.41 T := Z
% 15.03/15.41 end
% 15.03/15.41 substitution1:
% 15.03/15.41 X := X
% 15.03/15.41 Y := Y
% 15.03/15.41 end
% 15.03/15.41
% 15.03/15.41 resolution: (59649) {G2,W5,D2,L1,V3,M1} { perp( X, X, Z, Y ) }.
% 15.03/15.41 parent0[0]: (59647) {G1,W10,D2,L2,V3,M2} { ! cong( X, Z, X, Z ), perp( X,
% 15.03/15.41 X, Y, Z ) }.
% 15.03/15.41 parent1[0]: (58799) {G14,W5,D2,L1,V2,M1} S(1001);r(53570);r(53570) { cong(
% 15.03/15.41 X, Y, X, Y ) }.
% 15.03/15.41 substitution0:
% 15.03/15.41 X := X
% 15.03/15.41 Y := Z
% 15.03/15.41 Z := Y
% 15.03/15.41 end
% 15.03/15.41 substitution1:
% 15.03/15.41 X := X
% 15.03/15.41 Y := Y
% 15.03/15.41 end
% 15.03/15.41
% 15.03/15.41 subsumption: (58816) {G15,W5,D2,L1,V3,M1} R(58799,56);r(58799) { perp( X, X
% 15.03/15.41 , Z, Y ) }.
% 15.03/15.41 parent0: (59649) {G2,W5,D2,L1,V3,M1} { perp( X, X, Z, Y ) }.
% 15.03/15.41 substitution0:
% 15.03/15.41 X := X
% 15.03/15.41 Y := Y
% 15.03/15.41 Z := Z
% 15.03/15.41 end
% 15.03/15.41 permutation0:
% 15.03/15.41 0 ==> 0
% 15.03/15.41 end
% 15.03/15.41
% 15.03/15.41 resolution: (59650) {G2,W10,D2,L2,V5,M2} { para( T, U, Y, Z ), ! perp( X,
% 15.03/15.41 X, T, U ) }.
% 15.03/15.41 parent0[0]: (276) {G1,W15,D2,L3,V6,M3} R(8,7) { ! perp( X, Y, Z, T ), para
% 15.03/15.41 ( U, W, Z, T ), ! perp( X, Y, U, W ) }.
% 15.03/15.41 parent1[0]: (58816) {G15,W5,D2,L1,V3,M1} R(58799,56);r(58799) { perp( X, X
% 15.03/15.41 , Z, Y ) }.
% 15.03/15.41 substitution0:
% 15.03/15.41 X := X
% 15.03/15.41 Y := X
% 15.03/15.41 Z := Y
% 15.03/15.41 T := Z
% 15.03/15.41 U := T
% 15.03/15.41 W := U
% 15.03/15.41 end
% 15.03/15.41 substitution1:
% 15.03/15.41 X := X
% 15.03/15.41 Y := Z
% 15.03/15.41 Z := Y
% 15.03/15.41 end
% 15.03/15.41
% 15.03/15.41 resolution: (59652) {G3,W5,D2,L1,V4,M1} { para( X, Y, Z, T ) }.
% 15.03/15.41 parent0[1]: (59650) {G2,W10,D2,L2,V5,M2} { para( T, U, Y, Z ), ! perp( X,
% 15.03/15.41 X, T, U ) }.
% 15.03/15.41 parent1[0]: (58816) {G15,W5,D2,L1,V3,M1} R(58799,56);r(58799) { perp( X, X
% 15.03/15.41 , Z, Y ) }.
% 15.03/15.41 substitution0:
% 15.03/15.41 X := U
% 15.03/15.41 Y := Z
% 15.03/15.41 Z := T
% 15.03/15.41 T := X
% 15.03/15.41 U := Y
% 15.03/15.41 end
% 15.03/15.41 substitution1:
% 15.03/15.41 X := U
% 15.03/15.41 Y := Y
% 15.03/15.41 Z := X
% 15.03/15.41 end
% 15.03/15.41
% 15.03/15.41 subsumption: (58853) {G16,W5,D2,L1,V4,M1} R(58816,276);r(58816) { para( X,
% 15.03/15.41 Y, Z, T ) }.
% 15.03/15.41 parent0: (59652) {G3,W5,D2,L1,V4,M1} { para( X, Y, Z, T ) }.
% 15.03/15.41 substitution0:
% 15.03/15.41 X := X
% 15.03/15.41 Y := Y
% 15.03/15.41 Z := Z
% 15.03/15.41 T := T
% 15.03/15.41 end
% 15.03/15.41 permutation0:
% 15.03/15.41 0 ==> 0
% 15.03/15.41 end
% 15.03/15.41
% 15.03/15.41 resolution: (59653) {G2,W4,D2,L1,V2,M1} { alpha1( X, X, Y ) }.
% 15.03/15.41 parent0[0]: (154) {G1,W9,D2,L2,V3,M2} F(96) { ! perp( X, Y, X, Z ), alpha1
% 15.03/15.41 ( X, X, Z ) }.
% 15.03/15.41 parent1[0]: (58816) {G15,W5,D2,L1,V3,M1} R(58799,56);r(58799) { perp( X, X
% 15.03/15.41 , Z, Y ) }.
% 15.03/15.41 substitution0:
% 15.03/15.41 X := X
% 15.03/15.41 Y := X
% 15.03/15.41 Z := Y
% 15.03/15.41 end
% 15.03/15.41 substitution1:
% 15.03/15.41 X := X
% 15.03/15.41 Y := Y
% 15.03/15.41 Z := X
% 15.03/15.41 end
% 15.03/15.41
% 15.03/15.41 subsumption: (58855) {G16,W4,D2,L1,V2,M1} R(58816,154) { alpha1( X, X, Y )
% 15.03/15.41 }.
% 15.03/15.41 parent0: (59653) {G2,W4,D2,L1,V2,M1} { alpha1( X, X, Y ) }.
% 15.03/15.41 substitution0:
% 15.03/15.41 X := X
% 15.03/15.41 Y := Y
% 15.03/15.41 end
% 15.03/15.41 permutation0:
% 15.03/15.41 0 ==> 0
% 15.03/15.41 end
% 15.03/15.41
% 15.03/15.41 resolution: (59654) {G1,W10,D2,L2,V5,M2} { ! para( X, Y, Z, Z ), perp( X,
% 15.03/15.41 Y, T, U ) }.
% 15.03/15.41 parent0[1]: (9) {G0,W15,D2,L3,V6,M3} I { ! para( X, Y, U, W ), ! perp( U, W
% 15.03/15.41 , Z, T ), perp( X, Y, Z, T ) }.
% 15.03/15.41 parent1[0]: (58816) {G15,W5,D2,L1,V3,M1} R(58799,56);r(58799) { perp( X, X
% 15.03/15.41 , Z, Y ) }.
% 15.03/15.41 substitution0:
% 15.03/15.41 X := X
% 15.03/15.41 Y := Y
% 15.03/15.41 Z := T
% 15.03/15.41 T := U
% 15.03/15.41 U := Z
% 15.03/15.41 W := Z
% 15.03/15.41 end
% 15.03/15.41 substitution1:
% 15.03/15.41 X := Z
% 15.03/15.41 Y := U
% 15.03/15.41 Z := T
% 15.03/15.41 end
% 15.03/15.41
% 15.03/15.41 resolution: (59655) {G2,W5,D2,L1,V4,M1} { perp( X, Y, T, U ) }.
% 15.03/15.41 parent0[0]: (59654) {G1,W10,D2,L2,V5,M2} { ! para( X, Y, Z, Z ), perp( X,
% 15.03/15.41 Y, T, U ) }.
% 15.03/15.41 parent1[0]: (58853) {G16,W5,D2,L1,V4,M1} R(58816,276);r(58816) { para( X, Y
% 15.03/15.41 , Z, T ) }.
% 15.03/15.41 substitution0:
% 15.03/15.41 X := X
% 15.03/15.41 Y := Y
% 15.03/15.41 Z := Z
% 15.03/15.41 T := T
% 15.03/15.41 U := U
% 15.03/15.41 end
% 15.03/15.41 substitution1:
% 15.03/15.41 X := X
% 15.03/15.41 Y := Y
% 15.03/15.41 Z := Z
% 15.03/15.41 T := Z
% 15.03/15.41 end
% 15.03/15.41
% 15.03/15.41 subsumption: (58875) {G17,W5,D2,L1,V4,M1} R(58816,9);r(58853) { perp( X, Y
% 15.03/15.41 , T, U ) }.
% 15.03/15.41 parent0: (59655) {G2,W5,D2,L1,V4,M1} { perp( X, Y, T, U ) }.
% 15.03/15.41 substitution0:
% 15.03/15.41 X := X
% 15.03/15.41 Y := Y
% 15.03/15.41 Z := W
% 15.03/15.41 T := T
% 15.03/15.41 U := U
% 15.03/15.41 end
% 15.03/15.41 permutation0:
% 15.03/15.41 0 ==> 0
% 15.03/15.41 end
% 15.03/15.41
% 15.03/15.41 resolution: (59656) {G8,W4,D2,L1,V2,M1} { coll( X, Y, Y ) }.
% 15.03/15.41 parent0[0]: (4275) {G7,W8,D2,L2,V3,M2} R(97,471) { ! alpha1( X, Y, Z ),
% 15.03/15.41 coll( X, Z, Z ) }.
% 15.03/15.41 parent1[0]: (58855) {G16,W4,D2,L1,V2,M1} R(58816,154) { alpha1( X, X, Y )
% 15.03/15.41 }.
% 15.03/15.41 substitution0:
% 15.03/15.41 X := X
% 15.03/15.41 Y := X
% 15.03/15.41 Z := Y
% 15.03/15.41 end
% 15.03/15.41 substitution1:
% 15.03/15.41 X := X
% 15.03/15.41 Y := Y
% 15.03/15.41 end
% 15.03/15.41
% 15.03/15.41 subsumption: (58901) {G17,W4,D2,L1,V2,M1} R(58855,4275) { coll( X, Y, Y )
% 15.03/15.41 }.
% 15.03/15.41 parent0: (59656) {G8,W4,D2,L1,V2,M1} { coll( X, Y, Y ) }.
% 15.03/15.41 substitution0:
% 15.03/15.41 X := X
% 15.03/15.41 Y := Y
% 15.03/15.41 end
% 15.03/15.41 permutation0:
% 15.03/15.41 0 ==> 0
% 15.03/15.41 end
% 15.03/15.41
% 15.03/15.41 resolution: (59657) {G1,W9,D2,L2,V2,M2} { ! cong( X, Y, X, Y ), midp( X, Y
% 15.03/15.41 , Y ) }.
% 15.03/15.41 parent0[1]: (67) {G0,W13,D2,L3,V3,M3} I { ! cong( X, Y, X, Z ), ! coll( X,
% 15.03/15.41 Y, Z ), midp( X, Y, Z ) }.
% 15.03/15.41 parent1[0]: (58901) {G17,W4,D2,L1,V2,M1} R(58855,4275) { coll( X, Y, Y )
% 15.03/15.41 }.
% 15.03/15.41 substitution0:
% 15.03/15.41 X := X
% 15.03/15.41 Y := Y
% 15.03/15.41 Z := Y
% 15.03/15.41 end
% 15.03/15.41 substitution1:
% 15.03/15.41 X := X
% 15.03/15.41 Y := Y
% 15.03/15.41 end
% 15.03/15.41
% 15.03/15.41 resolution: (59658) {G2,W4,D2,L1,V2,M1} { midp( X, Y, Y ) }.
% 15.03/15.41 parent0[0]: (59657) {G1,W9,D2,L2,V2,M2} { ! cong( X, Y, X, Y ), midp( X, Y
% 15.03/15.41 , Y ) }.
% 15.03/15.41 parent1[0]: (58799) {G14,W5,D2,L1,V2,M1} S(1001);r(53570);r(53570) { cong(
% 15.03/15.41 X, Y, X, Y ) }.
% 15.03/15.41 substitution0:
% 15.03/15.41 X := X
% 15.03/15.41 Y := Y
% 15.03/15.41 end
% 15.03/15.41 substitution1:
% 15.03/15.41 X := X
% 15.03/15.41 Y := Y
% 15.03/15.41 end
% 15.03/15.41
% 15.03/15.41 subsumption: (58920) {G18,W4,D2,L1,V2,M1} R(58901,67);r(58799) { midp( X, Y
% 15.03/15.41 , Y ) }.
% 15.03/15.41 parent0: (59658) {G2,W4,D2,L1,V2,M1} { midp( X, Y, Y ) }.
% 15.03/15.41 substitution0:
% 15.03/15.41 X := X
% 15.03/15.41 Y := Y
% 15.03/15.41 end
% 15.03/15.41 permutation0:
% 15.03/15.41 0 ==> 0
% 15.03/15.41 end
% 15.03/15.41
% 15.03/15.41 resolution: (59659) {G1,W10,D2,L2,V3,M2} { ! perp( X, Y, Y, X ), cong( X,
% 15.03/15.41 Z, Y, Z ) }.
% 15.03/15.41 parent0[1]: (52) {G0,W14,D2,L3,V4,M3} I { ! perp( X, Y, Y, T ), ! midp( Z,
% 15.03/15.41 X, T ), cong( X, Z, Y, Z ) }.
% 15.03/15.41 parent1[0]: (58920) {G18,W4,D2,L1,V2,M1} R(58901,67);r(58799) { midp( X, Y
% 15.03/15.41 , Y ) }.
% 15.03/15.41 substitution0:
% 15.03/15.41 X := X
% 15.03/15.41 Y := Y
% 15.03/15.41 Z := Z
% 15.03/15.41 T := X
% 15.03/15.41 end
% 15.03/15.41 substitution1:
% 15.03/15.41 X := Z
% 15.03/15.41 Y := X
% 15.03/15.41 end
% 15.03/15.41
% 15.03/15.41 resolution: (59660) {G2,W5,D2,L1,V3,M1} { cong( X, Z, Y, Z ) }.
% 15.03/15.41 parent0[0]: (59659) {G1,W10,D2,L2,V3,M2} { ! perp( X, Y, Y, X ), cong( X,
% 15.03/15.41 Z, Y, Z ) }.
% 15.03/15.41 parent1[0]: (58875) {G17,W5,D2,L1,V4,M1} R(58816,9);r(58853) { perp( X, Y,
% 15.03/15.41 T, U ) }.
% 15.03/15.41 substitution0:
% 15.03/15.41 X := X
% 15.03/15.41 Y := Y
% 15.03/15.41 Z := Z
% 15.03/15.41 end
% 15.03/15.41 substitution1:
% 15.03/15.41 X := X
% 15.03/15.41 Y := Y
% 15.03/15.41 Z := T
% 15.03/15.41 T := Y
% 15.03/15.41 U := X
% 15.03/15.41 end
% 15.03/15.41
% 15.03/15.41 subsumption: (58940) {G19,W5,D2,L1,V3,M1} R(58920,52);r(58875) { cong( X, Z
% 15.03/15.41 , Y, Z ) }.
% 15.03/15.41 parent0: (59660) {G2,W5,D2,L1,V3,M1} { cong( X, Z, Y, Z ) }.
% 15.03/15.41 substitution0:
% 15.03/15.41 X := X
% 15.03/15.41 Y := Y
% 15.03/15.41 Z := Z
% 15.03/15.41 end
% 15.03/15.41 permutation0:
% 15.03/15.41 0 ==> 0
% 15.03/15.41 end
% 15.03/15.41
% 15.03/15.41 resolution: (59661) {G5,W5,D2,L1,V1,M1} { ! cong( X, skol20, skol23,
% 15.03/15.41 skol20 ) }.
% 15.03/15.41 parent0[0]: (537) {G4,W10,D2,L2,V2,M2} R(24,530) { ! cong( skol22, skol20,
% 15.03/15.41 X, Y ), ! cong( X, Y, skol23, skol20 ) }.
% 15.03/15.41 parent1[0]: (58940) {G19,W5,D2,L1,V3,M1} R(58920,52);r(58875) { cong( X, Z
% 15.03/15.41 , Y, Z ) }.
% 15.03/15.41 substitution0:
% 15.03/15.41 X := X
% 15.03/15.41 Y := skol20
% 15.03/15.41 end
% 15.03/15.41 substitution1:
% 15.03/15.41 X := skol22
% 15.03/15.41 Y := X
% 15.03/15.41 Z := skol20
% 15.03/15.41 end
% 15.03/15.41
% 15.03/15.41 resolution: (59663) {G6,W0,D0,L0,V0,M0} { }.
% 15.03/15.41 parent0[0]: (59661) {G5,W5,D2,L1,V1,M1} { ! cong( X, skol20, skol23,
% 15.03/15.41 skol20 ) }.
% 15.03/15.41 parent1[0]: (58940) {G19,W5,D2,L1,V3,M1} R(58920,52);r(58875) { cong( X, Z
% 15.03/15.41 , Y, Z ) }.
% 15.03/15.41 substitution0:
% 15.03/15.41 X := X
% 15.03/15.41 end
% 15.03/15.41 substitution1:
% 15.03/15.41 X := X
% 15.03/15.41 Y := skol23
% 15.03/15.41 Z := skol20
% 15.03/15.41 end
% 15.03/15.41
% 15.03/15.41 subsumption: (58990) {G20,W0,D0,L0,V0,M0} R(58940,537);r(58940) { }.
% 15.03/15.41 parent0: (59663) {G6,W0,D0,L0,V0,M0} { }.
% 15.03/15.41 substitution0:
% 15.03/15.41 end
% 15.03/15.41 permutation0:
% 15.03/15.41 end
% 15.03/15.41
% 15.03/15.41 Proof check complete!
% 15.03/15.41
% 15.03/15.41 Memory use:
% 15.03/15.41
% 15.03/15.41 space for terms: 820394
% 15.03/15.41 space for clauses: 2565506
% 15.03/15.41
% 15.03/15.41
% 15.03/15.41 clauses generated: 449737
% 15.03/15.41 clauses kept: 58991
% 15.03/15.41 clauses selected: 3285
% 15.03/15.41 clauses deleted: 4873
% 15.03/15.41 clauses inuse deleted: 284
% 15.03/15.41
% 15.03/15.41 subsentry: 20346814
% 15.03/15.41 literals s-matched: 10611235
% 15.03/15.41 literals matched: 5891973
% 15.03/15.41 full subsumption: 1927736
% 15.03/15.41
% 15.03/15.41 checksum: 741242152
% 15.03/15.41
% 15.03/15.41
% 15.03/15.41 Bliksem ended
%------------------------------------------------------------------------------