TSTP Solution File: GEO610+1 by Bliksem---1.12
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : GEO610+1 : TPTP v8.1.0. Released v7.5.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n027.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 0s
% DateTime : Sat Jul 16 02:55:05 EDT 2022
% Result : Theorem 30.09s 30.50s
% Output : Refutation 30.09s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : GEO610+1 : TPTP v8.1.0. Released v7.5.0.
% 0.03/0.13 % Command : bliksem %s
% 0.12/0.33 % Computer : n027.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % DateTime : Sat Jun 18 16:58:38 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.70/1.14 *** allocated 10000 integers for termspace/termends
% 0.70/1.14 *** allocated 10000 integers for clauses
% 0.70/1.14 *** allocated 10000 integers for justifications
% 0.70/1.14 Bliksem 1.12
% 0.70/1.14
% 0.70/1.14
% 0.70/1.14 Automatic Strategy Selection
% 0.70/1.14
% 0.70/1.14 *** allocated 15000 integers for termspace/termends
% 0.70/1.14
% 0.70/1.14 Clauses:
% 0.70/1.14
% 0.70/1.14 { ! coll( X, Y, Z ), coll( X, Z, Y ) }.
% 0.70/1.14 { ! coll( X, Y, Z ), coll( Y, X, Z ) }.
% 0.70/1.14 { ! coll( X, T, Y ), ! coll( X, T, Z ), coll( Y, Z, X ) }.
% 0.70/1.14 { ! para( X, Y, Z, T ), para( X, Y, T, Z ) }.
% 0.70/1.14 { ! para( X, Y, Z, T ), para( Z, T, X, Y ) }.
% 0.70/1.14 { ! para( X, Y, U, W ), ! para( U, W, Z, T ), para( X, Y, Z, T ) }.
% 0.70/1.14 { ! perp( X, Y, Z, T ), perp( X, Y, T, Z ) }.
% 0.70/1.14 { ! perp( X, Y, Z, T ), perp( Z, T, X, Y ) }.
% 0.70/1.14 { ! perp( X, Y, U, W ), ! perp( U, W, Z, T ), para( X, Y, Z, T ) }.
% 0.70/1.14 { ! para( X, Y, U, W ), ! perp( U, W, Z, T ), perp( X, Y, Z, T ) }.
% 0.70/1.14 { ! midp( Z, Y, X ), midp( Z, X, Y ) }.
% 0.70/1.14 { ! cong( T, X, T, Y ), ! cong( T, X, T, Z ), circle( T, X, Y, Z ) }.
% 0.70/1.14 { ! cong( U, X, U, Y ), ! cong( U, X, U, Z ), ! cong( U, X, U, T ), cyclic
% 0.70/1.14 ( X, Y, Z, T ) }.
% 0.70/1.14 { ! cyclic( X, Y, Z, T ), cyclic( X, Y, T, Z ) }.
% 0.70/1.14 { ! cyclic( X, Y, Z, T ), cyclic( X, Z, Y, T ) }.
% 0.70/1.14 { ! cyclic( X, Y, Z, T ), cyclic( Y, X, Z, T ) }.
% 0.70/1.14 { ! cyclic( U, X, Y, Z ), ! cyclic( U, X, Y, T ), cyclic( X, Y, Z, T ) }.
% 0.70/1.14 { ! eqangle( X, Y, Z, T, U, W, V0, V1 ), eqangle( Y, X, Z, T, U, W, V0, V1
% 0.70/1.14 ) }.
% 0.70/1.14 { ! eqangle( X, Y, Z, T, U, W, V0, V1 ), eqangle( Z, T, X, Y, V0, V1, U, W
% 0.70/1.14 ) }.
% 0.70/1.14 { ! eqangle( X, Y, Z, T, U, W, V0, V1 ), eqangle( U, W, V0, V1, X, Y, Z, T
% 0.70/1.14 ) }.
% 0.70/1.14 { ! eqangle( X, Y, Z, T, U, W, V0, V1 ), eqangle( X, Y, U, W, Z, T, V0, V1
% 0.70/1.14 ) }.
% 0.70/1.14 { ! eqangle( X, Y, Z, T, V2, V3, V4, V5 ), ! eqangle( V2, V3, V4, V5, U, W
% 0.70/1.14 , V0, V1 ), eqangle( X, Y, Z, T, U, W, V0, V1 ) }.
% 0.70/1.14 { ! cong( X, Y, Z, T ), cong( X, Y, T, Z ) }.
% 0.70/1.14 { ! cong( X, Y, Z, T ), cong( Z, T, X, Y ) }.
% 0.70/1.14 { ! cong( X, Y, U, W ), ! cong( U, W, Z, T ), cong( X, Y, Z, T ) }.
% 0.70/1.14 { ! eqratio( X, Y, Z, T, U, W, V0, V1 ), eqratio( Y, X, Z, T, U, W, V0, V1
% 0.70/1.14 ) }.
% 0.70/1.14 { ! eqratio( X, Y, Z, T, U, W, V0, V1 ), eqratio( Z, T, X, Y, V0, V1, U, W
% 0.70/1.14 ) }.
% 0.70/1.14 { ! eqratio( X, Y, Z, T, U, W, V0, V1 ), eqratio( U, W, V0, V1, X, Y, Z, T
% 0.70/1.14 ) }.
% 0.70/1.14 { ! eqratio( X, Y, Z, T, U, W, V0, V1 ), eqratio( X, Y, U, W, Z, T, V0, V1
% 0.70/1.14 ) }.
% 0.70/1.14 { ! eqratio( X, Y, Z, T, V2, V3, V4, V5 ), ! eqratio( V2, V3, V4, V5, U, W
% 0.70/1.14 , V0, V1 ), eqratio( X, Y, Z, T, U, W, V0, V1 ) }.
% 0.70/1.14 { ! simtri( X, Z, Y, T, W, U ), simtri( X, Y, Z, T, U, W ) }.
% 0.70/1.14 { ! simtri( Y, X, Z, U, T, W ), simtri( X, Y, Z, T, U, W ) }.
% 0.70/1.14 { ! simtri( T, U, W, X, Y, Z ), simtri( X, Y, Z, T, U, W ) }.
% 0.70/1.14 { ! simtri( X, Y, Z, V0, V1, V2 ), ! simtri( V0, V1, V2, T, U, W ), simtri
% 0.70/1.14 ( X, Y, Z, T, U, W ) }.
% 0.70/1.14 { ! contri( X, Z, Y, T, W, U ), contri( X, Y, Z, T, U, W ) }.
% 0.70/1.14 { ! contri( Y, X, Z, U, T, W ), contri( X, Y, Z, T, U, W ) }.
% 0.70/1.14 { ! contri( T, U, W, X, Y, Z ), contri( X, Y, Z, T, U, W ) }.
% 0.70/1.14 { ! contri( X, Y, Z, V0, V1, V2 ), ! contri( V0, V1, V2, T, U, W ), contri
% 0.70/1.14 ( X, Y, Z, T, U, W ) }.
% 0.70/1.14 { ! eqangle( X, Y, U, W, Z, T, U, W ), para( X, Y, Z, T ) }.
% 0.70/1.14 { ! para( X, Y, Z, T ), eqangle( X, Y, U, W, Z, T, U, W ) }.
% 0.70/1.14 { ! cyclic( X, Y, Z, T ), eqangle( Z, X, Z, Y, T, X, T, Y ) }.
% 0.70/1.14 { ! eqangle( Z, X, Z, Y, T, X, T, Y ), coll( Z, T, X ), cyclic( X, Y, Z, T
% 0.70/1.14 ) }.
% 0.70/1.14 { ! eqangle( Z, X, Z, Y, T, X, T, Y ), ! coll( Z, T, Y ), cyclic( X, Y, Z,
% 0.70/1.14 T ) }.
% 0.70/1.14 { ! cyclic( X, Y, U, Z ), ! cyclic( X, Y, U, T ), ! cyclic( X, Y, U, W ), !
% 0.70/1.14 eqangle( U, X, U, Y, W, Z, W, T ), cong( X, Y, Z, T ) }.
% 0.70/1.14 { ! midp( Z, U, X ), ! midp( T, U, Y ), para( Z, T, X, Y ) }.
% 0.70/1.14 { ! midp( U, X, T ), ! para( U, Z, T, Y ), ! coll( Z, X, Y ), midp( Z, X, Y
% 0.70/1.14 ) }.
% 0.70/1.14 { ! cong( Z, X, Z, Y ), eqangle( Z, X, X, Y, X, Y, Z, Y ) }.
% 0.70/1.14 { ! eqangle( Z, X, X, Y, X, Y, Z, Y ), coll( Z, X, Y ), cong( Z, X, Z, Y )
% 0.70/1.14 }.
% 0.70/1.14 { ! circle( U, X, Y, Z ), ! perp( U, X, X, T ), eqangle( X, T, X, Y, Z, X,
% 0.70/1.14 Z, Y ) }.
% 0.70/1.14 { ! circle( Y, X, T, U ), ! eqangle( X, Z, X, T, U, X, U, T ), perp( Y, X,
% 0.70/1.14 X, Z ) }.
% 0.70/1.14 { ! circle( T, X, Y, Z ), ! midp( U, Y, Z ), eqangle( X, Y, X, Z, T, Y, T,
% 0.70/1.14 U ) }.
% 0.70/1.14 { ! circle( U, T, X, Y ), ! coll( Z, X, Y ), ! eqangle( T, X, T, Y, U, X, U
% 0.70/1.14 , Z ), midp( Z, X, Y ) }.
% 0.70/1.14 { ! perp( X, Y, Y, T ), ! midp( Z, X, T ), cong( X, Z, Y, Z ) }.
% 0.70/1.14 { ! circle( T, X, Y, Z ), ! coll( T, X, Z ), perp( X, Y, Y, Z ) }.
% 0.70/1.14 { ! cyclic( X, Y, Z, T ), ! para( X, Y, Z, T ), eqangle( X, T, Z, T, Z, T,
% 0.70/1.14 Z, Y ) }.
% 0.70/1.14 { ! midp( T, X, Y ), ! perp( Z, T, X, Y ), cong( Z, X, Z, Y ) }.
% 0.70/1.14 { ! cong( X, Z, Y, Z ), ! cong( X, T, Y, T ), perp( X, Y, Z, T ) }.
% 0.70/1.14 { ! cong( X, Y, T, Y ), ! cong( X, Z, T, Z ), ! cyclic( X, T, Y, Z ), perp
% 0.70/1.14 ( Y, X, X, Z ) }.
% 0.70/1.14 { ! eqangle( X, Y, Y, Z, T, U, U, W ), ! eqangle( X, Z, Y, Z, T, W, U, W )
% 0.70/1.14 , coll( X, Y, Z ), simtri( X, Y, Z, T, U, W ) }.
% 0.70/1.14 { ! simtri( X, Y, Z, T, U, W ), eqratio( X, Y, X, Z, T, U, T, W ) }.
% 0.70/1.14 { ! simtri( X, Y, Z, T, U, W ), eqangle( X, Y, Y, Z, T, U, U, W ) }.
% 0.70/1.14 { ! simtri( X, Y, Z, T, U, W ), ! cong( X, Y, T, U ), contri( X, Y, Z, T, U
% 0.70/1.14 , W ) }.
% 0.70/1.14 { ! contri( X, Y, U, Z, T, W ), cong( X, Y, Z, T ) }.
% 0.70/1.14 { ! midp( U, X, Y ), ! midp( U, Z, T ), para( X, Z, Y, T ) }.
% 0.70/1.14 { ! midp( Z, T, U ), ! para( T, X, U, Y ), ! para( T, Y, U, X ), midp( Z, X
% 0.70/1.14 , Y ) }.
% 0.70/1.14 { ! para( X, Y, Z, T ), ! coll( U, X, Z ), ! coll( U, Y, T ), eqratio( U, X
% 0.70/1.14 , X, Z, U, Y, Y, T ) }.
% 0.70/1.14 { ! para( X, Y, X, Z ), coll( X, Y, Z ) }.
% 0.70/1.14 { ! cong( X, Y, X, Z ), ! coll( X, Y, Z ), midp( X, Y, Z ) }.
% 0.70/1.14 { ! midp( X, Y, Z ), cong( X, Y, X, Z ) }.
% 0.70/1.14 { ! midp( X, Y, Z ), coll( X, Y, Z ) }.
% 0.70/1.14 { ! midp( U, X, Y ), ! midp( W, Z, T ), eqratio( U, X, X, Y, W, Z, Z, T ) }
% 0.70/1.14 .
% 0.70/1.14 { ! eqangle( X, Y, Z, T, Z, T, X, Y ), para( X, Y, Z, T ), perp( X, Y, Z, T
% 0.70/1.14 ) }.
% 0.70/1.14 { ! eqangle( X, Y, Z, T, Z, T, X, Y ), perp( X, Y, Z, T ), para( X, Y, Z, T
% 0.70/1.14 ) }.
% 0.70/1.14 { ! eqangle( X, Y, Z, T, U, W, V0, V1 ), ! para( U, W, V0, V1 ), para( X, Y
% 0.70/1.14 , Z, T ) }.
% 0.70/1.14 { ! eqangle( X, Y, Z, T, U, W, V0, V1 ), ! perp( U, W, V0, V1 ), perp( X, Y
% 0.70/1.14 , Z, T ) }.
% 0.70/1.14 { ! eqratio( X, Y, Z, T, U, W, V0, V1 ), ! cong( U, W, V0, V1 ), cong( X, Y
% 0.70/1.14 , Z, T ) }.
% 0.70/1.14 { ! perp( Z, Y, Y, X ), ! eqangle( T, Z, Y, Z, Y, Z, X, Z ), coll( skol1( U
% 0.70/1.14 , W, Z, T ), Z, T ) }.
% 0.70/1.14 { ! perp( Z, Y, Y, X ), ! eqangle( T, Z, Y, Z, Y, Z, X, Z ), coll( skol1( X
% 0.70/1.14 , Y, Z, T ), X, Y ) }.
% 0.70/1.14 { ! cong( Z, X, Z, Y ), ! eqangle( X, Z, Z, T, Z, T, Z, Y ), coll( skol2( U
% 0.70/1.14 , W, Z, T ), Z, T ) }.
% 0.70/1.14 { ! cong( Z, X, Z, Y ), ! eqangle( X, Z, Z, T, Z, T, Z, Y ), coll( Y, X,
% 0.70/1.14 skol2( X, Y, Z, T ) ) }.
% 0.70/1.14 { ! perp( Z, T, X, Y ), ! eqangle( X, Z, Z, T, Z, T, Z, Y ), coll( skol3( U
% 0.70/1.14 , W, Z, T ), Z, T ) }.
% 0.70/1.14 { ! perp( Z, T, X, Y ), ! eqangle( X, Z, Z, T, Z, T, Z, Y ), coll( Y, X,
% 0.70/1.14 skol3( X, Y, Z, T ) ) }.
% 0.70/1.14 { ! perp( Z, T, X, Y ), ! cong( Z, X, Z, Y ), coll( skol4( U, W, Z, T ), Z
% 0.70/1.14 , T ) }.
% 0.70/1.14 { ! perp( Z, T, X, Y ), ! cong( Z, X, Z, Y ), coll( Y, X, skol4( X, Y, Z, T
% 0.70/1.14 ) ) }.
% 0.70/1.14 { ! eqangle( X, Z, Y, Z, X, T, Y, U ), coll( X, Y, Z ), cyclic( T, Y, Z,
% 0.70/1.14 skol5( W, Y, Z, T ) ) }.
% 0.70/1.14 { ! eqangle( X, Z, Y, Z, X, T, Y, U ), coll( X, Y, Z ), eqangle( X, Z, Y, Z
% 0.70/1.14 , X, skol5( X, Y, Z, T ), Y, skol5( X, Y, Z, T ) ) }.
% 0.70/1.14 { ! midp( U, X, Y ), ! midp( W, Z, T ), midp( skol6( X, V0, V1, T, V2, V3 )
% 0.70/1.14 , X, T ) }.
% 0.70/1.14 { ! midp( U, X, Y ), ! midp( W, Z, T ), para( skol6( X, V0, Z, T, V1, W ),
% 0.70/1.14 W, X, Z ) }.
% 0.70/1.14 { ! midp( U, X, Y ), ! midp( W, Z, T ), para( skol6( X, Y, Z, T, U, W ), U
% 0.70/1.14 , Y, T ) }.
% 0.70/1.14 { ! midp( Z, X, Y ), ! midp( W, T, U ), ! coll( T, X, Y ), ! coll( U, X, Y
% 0.70/1.14 ), midp( skol7( X, V0 ), X, V0 ) }.
% 0.70/1.14 { ! midp( T, X, U ), ! para( X, W, Z, T ), ! para( X, W, U, Y ), ! coll( W
% 0.70/1.14 , Y, Z ), coll( skol8( V0, V1, Z, T ), T, Z ) }.
% 0.70/1.14 { ! midp( T, X, U ), ! para( X, W, Z, T ), ! para( X, W, U, Y ), ! coll( W
% 0.70/1.14 , Y, Z ), coll( skol8( X, Y, Z, T ), X, Y ) }.
% 0.70/1.14 { ! cong( T, Z, T, U ), ! perp( X, Y, Y, T ), cong( T, Z, T, skol9( W, V0,
% 0.70/1.14 Z, T ) ) }.
% 0.70/1.14 { ! cong( T, Z, T, U ), ! perp( X, Y, Y, T ), cong( Y, Z, Y, skol9( W, Y, Z
% 0.70/1.14 , T ) ) }.
% 0.70/1.14 { ! cong( T, Z, T, U ), ! perp( X, Y, Y, T ), para( skol9( X, Y, Z, T ), Z
% 0.70/1.14 , X, Y ) }.
% 0.70/1.14 { ! perp( X, T, Y, Z ), ! perp( Y, T, X, Z ), coll( skol10( U, Y, Z ), Z, Y
% 0.70/1.14 ) }.
% 0.70/1.14 { ! perp( X, T, Y, Z ), ! perp( Y, T, X, Z ), perp( X, skol10( X, Y, Z ), Z
% 0.70/1.14 , Y ) }.
% 0.70/1.14 { ! perp( X, T, Y, Z ), ! perp( Y, T, X, Z ), alpha1( X, Y, Z ) }.
% 0.70/1.14 { ! alpha1( X, Y, Z ), coll( skol11( X, T, Z ), Z, X ) }.
% 0.70/1.14 { ! alpha1( X, Y, Z ), perp( Y, skol11( X, Y, Z ), Z, X ) }.
% 0.70/1.14 { ! coll( T, Z, X ), ! perp( Y, T, Z, X ), alpha1( X, Y, Z ) }.
% 0.70/1.14 { ! circle( Y, X, Z, T ), perp( skol12( X, Y ), X, X, Y ) }.
% 1.31/1.75 { ! circle( W, X, Y, Z ), ! cong( W, X, W, T ), ! cong( U, X, U, Y ), W = U
% 1.31/1.75 , alpha2( X, Z, U, skol13( X, V0, Z, V1, U ) ) }.
% 1.31/1.75 { ! circle( W, X, Y, Z ), ! cong( W, X, W, T ), ! cong( U, X, U, Y ), W = U
% 1.31/1.75 , coll( skol21( V0, Y, T, V1 ), Y, T ) }.
% 1.31/1.75 { ! circle( W, X, Y, Z ), ! cong( W, X, W, T ), ! cong( U, X, U, Y ), W = U
% 1.31/1.75 , cong( skol21( X, Y, T, U ), U, U, X ) }.
% 1.31/1.75 { ! alpha2( X, Y, Z, T ), coll( T, X, Y ) }.
% 1.31/1.75 { ! alpha2( X, Y, Z, T ), cong( T, Z, Z, X ) }.
% 1.31/1.75 { ! coll( T, X, Y ), ! cong( T, Z, Z, X ), alpha2( X, Y, Z, T ) }.
% 1.31/1.75 { ! cyclic( X, Y, Z, T ), ! para( X, Y, Z, T ), ! midp( U, X, Y ), circle(
% 1.31/1.75 skol14( X, Y, Z ), X, Y, Z ) }.
% 1.31/1.75 { ! perp( X, Z, Z, Y ), ! cyclic( X, Y, Z, T ), circle( skol15( X, Y, Z ),
% 1.31/1.75 X, Y, Z ) }.
% 1.31/1.75 { ! perp( X, U, U, T ), ! coll( T, Y, Z ), coll( skol16( W, Y, Z ), Y, Z )
% 1.31/1.75 }.
% 1.31/1.75 { ! perp( X, U, U, T ), ! coll( T, Y, Z ), perp( skol16( X, Y, Z ), X, Y, Z
% 1.31/1.75 ) }.
% 1.31/1.75 { ! perp( X, Z, X, Y ), ! perp( Y, X, Y, T ), ! midp( U, Z, T ), midp(
% 1.31/1.75 skol17( X, Y ), X, Y ) }.
% 1.31/1.75 { ! cong( Y, X, Y, Z ), ! perp( X, Y, Y, Z ), coll( X, Y, skol18( X, Y ) )
% 1.31/1.75 }.
% 1.31/1.75 { ! cong( Y, X, Y, Z ), ! perp( X, Y, Y, Z ), cong( Y, X, Y, skol18( X, Y )
% 1.31/1.75 ) }.
% 1.31/1.75 { ! para( U, W, X, Y ), ! coll( Z, U, X ), ! coll( Z, W, Y ), ! coll( T, U
% 1.31/1.75 , W ), coll( Z, T, skol19( V0, V1, Z, T ) ) }.
% 1.31/1.75 { ! para( U, W, X, Y ), ! coll( Z, U, X ), ! coll( Z, W, Y ), ! coll( T, U
% 1.31/1.75 , W ), coll( skol19( X, Y, Z, T ), X, Y ) }.
% 1.31/1.75 { circle( skol27, skol26, skol20, skol22 ) }.
% 1.31/1.75 { circle( skol27, skol26, skol23, skol28 ) }.
% 1.31/1.75 { perp( skol24, skol23, skol26, skol22 ) }.
% 1.31/1.75 { coll( skol24, skol26, skol22 ) }.
% 1.31/1.75 { perp( skol25, skol23, skol26, skol20 ) }.
% 1.31/1.75 { coll( skol25, skol26, skol20 ) }.
% 1.31/1.75 { alpha3( skol20, skol22, skol23, skol24, skol25 ), ! eqangle( skol23,
% 1.31/1.75 skol24, skol24, skol25, skol22, skol23, skol23, skol20 ), ! eqangle(
% 1.31/1.75 skol23, skol24, skol24, skol25, skol23, skol22, skol22, skol20 ) }.
% 1.31/1.75 { alpha3( skol20, skol22, skol23, skol24, skol25 ), ! eqangle( skol24,
% 1.31/1.75 skol23, skol23, skol25, skol23, skol20, skol20, skol22 ), ! eqangle(
% 1.31/1.75 skol23, skol24, skol24, skol25, skol23, skol22, skol22, skol20 ) }.
% 1.31/1.76 { ! alpha3( X, Y, Z, T, U ), alpha4( X, Y, Z, T, U ), ! eqangle( Z, T, T, U
% 1.31/1.76 , Z, X, X, Y ) }.
% 1.31/1.76 { ! alpha3( X, Y, Z, T, U ), alpha4( X, Y, Z, T, U ), ! eqangle( T, Z, Z, U
% 1.31/1.76 , Z, X, X, Y ) }.
% 1.31/1.76 { ! alpha4( X, Y, Z, T, U ), alpha3( X, Y, Z, T, U ) }.
% 1.31/1.76 { eqangle( Z, T, T, U, Z, X, X, Y ), eqangle( T, Z, Z, U, Z, X, X, Y ),
% 1.31/1.76 alpha3( X, Y, Z, T, U ) }.
% 1.31/1.76 { ! alpha4( X, Y, Z, T, U ), alpha5( X, Y, Z, T, U ), ! eqangle( Z, T, T, U
% 1.31/1.76 , Y, Z, Z, X ) }.
% 1.31/1.76 { ! alpha4( X, Y, Z, T, U ), alpha5( X, Y, Z, T, U ), ! eqangle( T, Z, Z, U
% 1.31/1.76 , Z, Y, Y, X ) }.
% 1.31/1.76 { ! alpha5( X, Y, Z, T, U ), alpha4( X, Y, Z, T, U ) }.
% 1.31/1.76 { eqangle( Z, T, T, U, Y, Z, Z, X ), eqangle( T, Z, Z, U, Z, Y, Y, X ),
% 1.31/1.76 alpha4( X, Y, Z, T, U ) }.
% 1.31/1.76 { ! alpha5( X, Y, Z, T, U ), alpha6( X, Y, Z, T, U ), ! eqangle( Z, T, T, U
% 1.31/1.76 , Z, X, X, Y ) }.
% 1.31/1.76 { ! alpha5( X, Y, Z, T, U ), alpha6( X, Y, Z, T, U ), ! eqangle( T, Z, Z, U
% 1.31/1.76 , Z, Y, Y, X ) }.
% 1.31/1.76 { ! alpha6( X, Y, Z, T, U ), alpha5( X, Y, Z, T, U ) }.
% 1.31/1.76 { eqangle( Z, T, T, U, Z, X, X, Y ), eqangle( T, Z, Z, U, Z, Y, Y, X ),
% 1.31/1.76 alpha5( X, Y, Z, T, U ) }.
% 1.31/1.76 { ! alpha6( X, Y, Z, T, U ), ! eqangle( T, Z, Z, U, Y, Z, Z, X ), ! eqangle
% 1.31/1.76 ( Z, T, T, U, Z, Y, Y, X ) }.
% 1.31/1.76 { ! alpha6( X, Y, Z, T, U ), ! eqangle( T, Z, Z, U, Y, Z, Z, X ), ! eqangle
% 1.31/1.76 ( T, Z, Z, U, Y, Z, Z, X ) }.
% 1.31/1.76 { eqangle( T, Z, Z, U, Y, Z, Z, X ), alpha6( X, Y, Z, T, U ) }.
% 1.31/1.76 { eqangle( Z, T, T, U, Z, Y, Y, X ), eqangle( T, Z, Z, U, Y, Z, Z, X ),
% 1.31/1.76 alpha6( X, Y, Z, T, U ) }.
% 1.31/1.76
% 1.31/1.76 percentage equality = 0.007752, percentage horn = 0.906475
% 1.31/1.76 This is a problem with some equality
% 1.31/1.76
% 1.31/1.76
% 1.31/1.76
% 1.31/1.76 Options Used:
% 1.31/1.76
% 1.31/1.76 useres = 1
% 1.31/1.76 useparamod = 1
% 1.31/1.76 useeqrefl = 1
% 1.31/1.76 useeqfact = 1
% 1.31/1.76 usefactor = 1
% 1.31/1.76 usesimpsplitting = 0
% 1.31/1.76 usesimpdemod = 5
% 1.31/1.76 usesimpres = 3
% 1.31/1.76
% 1.31/1.76 resimpinuse = 1000
% 1.31/1.76 resimpclauses = 20000
% 1.31/1.76 substype = eqrewr
% 1.31/1.76 backwardsubs = 1
% 1.31/1.76 selectoldest = 5
% 1.31/1.76
% 1.31/1.76 litorderings [0] = split
% 1.31/1.76 litorderings [1] = extend the termordering, first sorting on arguments
% 1.31/1.76
% 1.31/1.76 termordering = kbo
% 1.31/1.76
% 1.31/1.76 litapriori = 0
% 1.31/1.76 termapriori = 1
% 21.57/22.01 litaposteriori = 0
% 21.57/22.01 termaposteriori = 0
% 21.57/22.01 demodaposteriori = 0
% 21.57/22.01 ordereqreflfact = 0
% 21.57/22.01
% 21.57/22.01 litselect = negord
% 21.57/22.01
% 21.57/22.01 maxweight = 15
% 21.57/22.01 maxdepth = 30000
% 21.57/22.01 maxlength = 115
% 21.57/22.01 maxnrvars = 195
% 21.57/22.01 excuselevel = 1
% 21.57/22.01 increasemaxweight = 1
% 21.57/22.01
% 21.57/22.01 maxselected = 10000000
% 21.57/22.01 maxnrclauses = 10000000
% 21.57/22.01
% 21.57/22.01 showgenerated = 0
% 21.57/22.01 showkept = 0
% 21.57/22.01 showselected = 0
% 21.57/22.01 showdeleted = 0
% 21.57/22.01 showresimp = 1
% 21.57/22.01 showstatus = 2000
% 21.57/22.01
% 21.57/22.01 prologoutput = 0
% 21.57/22.01 nrgoals = 5000000
% 21.57/22.01 totalproof = 1
% 21.57/22.01
% 21.57/22.01 Symbols occurring in the translation:
% 21.57/22.01
% 21.57/22.01 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 21.57/22.01 . [1, 2] (w:1, o:38, a:1, s:1, b:0),
% 21.57/22.01 ! [4, 1] (w:0, o:33, a:1, s:1, b:0),
% 21.57/22.01 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 21.57/22.01 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 21.57/22.01 coll [38, 3] (w:1, o:66, a:1, s:1, b:0),
% 21.57/22.01 para [40, 4] (w:1, o:74, a:1, s:1, b:0),
% 21.57/22.01 perp [43, 4] (w:1, o:75, a:1, s:1, b:0),
% 21.57/22.01 midp [45, 3] (w:1, o:67, a:1, s:1, b:0),
% 21.57/22.01 cong [47, 4] (w:1, o:76, a:1, s:1, b:0),
% 21.57/22.01 circle [48, 4] (w:1, o:77, a:1, s:1, b:0),
% 21.57/22.01 cyclic [49, 4] (w:1, o:78, a:1, s:1, b:0),
% 21.57/22.01 eqangle [54, 8] (w:1, o:97, a:1, s:1, b:0),
% 21.57/22.01 eqratio [57, 8] (w:1, o:98, a:1, s:1, b:0),
% 21.57/22.01 simtri [59, 6] (w:1, o:94, a:1, s:1, b:0),
% 21.57/22.01 contri [60, 6] (w:1, o:95, a:1, s:1, b:0),
% 21.57/22.01 alpha1 [65, 3] (w:1, o:68, a:1, s:1, b:1),
% 21.57/22.01 alpha2 [66, 4] (w:1, o:79, a:1, s:1, b:1),
% 21.57/22.01 alpha3 [67, 5] (w:1, o:89, a:1, s:1, b:1),
% 21.57/22.01 alpha4 [68, 5] (w:1, o:90, a:1, s:1, b:1),
% 21.57/22.01 alpha5 [69, 5] (w:1, o:91, a:1, s:1, b:1),
% 21.57/22.01 alpha6 [70, 5] (w:1, o:92, a:1, s:1, b:1),
% 21.57/22.01 skol1 [71, 4] (w:1, o:80, a:1, s:1, b:1),
% 21.57/22.01 skol2 [72, 4] (w:1, o:82, a:1, s:1, b:1),
% 21.57/22.01 skol3 [73, 4] (w:1, o:84, a:1, s:1, b:1),
% 21.57/22.01 skol4 [74, 4] (w:1, o:85, a:1, s:1, b:1),
% 21.57/22.01 skol5 [75, 4] (w:1, o:86, a:1, s:1, b:1),
% 21.57/22.01 skol6 [76, 6] (w:1, o:96, a:1, s:1, b:1),
% 21.57/22.01 skol7 [77, 2] (w:1, o:62, a:1, s:1, b:1),
% 21.57/22.01 skol8 [78, 4] (w:1, o:87, a:1, s:1, b:1),
% 21.57/22.01 skol9 [79, 4] (w:1, o:88, a:1, s:1, b:1),
% 21.57/22.01 skol10 [80, 3] (w:1, o:69, a:1, s:1, b:1),
% 21.57/22.01 skol11 [81, 3] (w:1, o:70, a:1, s:1, b:1),
% 21.57/22.01 skol12 [82, 2] (w:1, o:63, a:1, s:1, b:1),
% 21.57/22.01 skol13 [83, 5] (w:1, o:93, a:1, s:1, b:1),
% 21.57/22.01 skol14 [84, 3] (w:1, o:71, a:1, s:1, b:1),
% 21.57/22.01 skol15 [85, 3] (w:1, o:72, a:1, s:1, b:1),
% 21.57/22.01 skol16 [86, 3] (w:1, o:73, a:1, s:1, b:1),
% 21.57/22.01 skol17 [87, 2] (w:1, o:64, a:1, s:1, b:1),
% 21.57/22.01 skol18 [88, 2] (w:1, o:65, a:1, s:1, b:1),
% 21.57/22.01 skol19 [89, 4] (w:1, o:81, a:1, s:1, b:1),
% 21.57/22.01 skol20 [90, 0] (w:1, o:25, a:1, s:1, b:1),
% 21.57/22.01 skol21 [91, 4] (w:1, o:83, a:1, s:1, b:1),
% 21.57/22.01 skol22 [92, 0] (w:1, o:26, a:1, s:1, b:1),
% 21.57/22.01 skol23 [93, 0] (w:1, o:27, a:1, s:1, b:1),
% 21.57/22.01 skol24 [94, 0] (w:1, o:28, a:1, s:1, b:1),
% 21.57/22.01 skol25 [95, 0] (w:1, o:29, a:1, s:1, b:1),
% 21.57/22.01 skol26 [96, 0] (w:1, o:30, a:1, s:1, b:1),
% 21.57/22.01 skol27 [97, 0] (w:1, o:31, a:1, s:1, b:1),
% 21.57/22.01 skol28 [98, 0] (w:1, o:32, a:1, s:1, b:1).
% 21.57/22.01
% 21.57/22.01
% 21.57/22.01 Starting Search:
% 21.57/22.01
% 21.57/22.01 *** allocated 15000 integers for clauses
% 21.57/22.01 *** allocated 22500 integers for clauses
% 21.57/22.01 *** allocated 33750 integers for clauses
% 21.57/22.01 *** allocated 22500 integers for termspace/termends
% 21.57/22.01 *** allocated 50625 integers for clauses
% 21.57/22.01 *** allocated 75937 integers for clauses
% 21.57/22.01 Resimplifying inuse:
% 21.57/22.01 Done
% 21.57/22.01
% 21.57/22.01 *** allocated 33750 integers for termspace/termends
% 21.57/22.01 *** allocated 113905 integers for clauses
% 21.57/22.01 *** allocated 50625 integers for termspace/termends
% 21.57/22.01
% 21.57/22.01 Intermediate Status:
% 21.57/22.01 Generated: 21566
% 21.57/22.01 Kept: 2080
% 21.57/22.01 Inuse: 336
% 21.57/22.01 Deleted: 1
% 21.57/22.01 Deletedinuse: 1
% 21.57/22.01
% 21.57/22.01 Resimplifying inuse:
% 21.57/22.01 Done
% 21.57/22.01
% 21.57/22.01 *** allocated 170857 integers for clauses
% 21.57/22.01 *** allocated 75937 integers for termspace/termends
% 21.57/22.01 Resimplifying inuse:
% 21.57/22.01 Done
% 21.57/22.01
% 21.57/22.01 *** allocated 256285 integers for clauses
% 21.57/22.01 *** allocated 113905 integers for termspace/termends
% 21.57/22.01
% 21.57/22.01 Intermediate Status:
% 21.57/22.01 Generated: 41291
% 21.57/22.01 Kept: 4091
% 21.57/22.01 Inuse: 449
% 21.57/22.01 Deleted: 19
% 21.57/22.01 Deletedinuse: 2
% 21.57/22.01
% 21.57/22.01 Resimplifying inuse:
% 21.57/22.01 Done
% 21.57/22.01
% 21.57/22.01 Resimplifying inuse:
% 21.57/22.01 Done
% 21.57/22.01
% 21.57/22.01 *** allocated 170857 integers for termspace/termends
% 21.57/22.01 *** allocated 384427 integers for clauses
% 30.09/30.50
% 30.09/30.50 Intermediate Status:
% 30.09/30.50 Generated: 54998
% 30.09/30.50 Kept: 6221
% 30.09/30.50 Inuse: 514
% 30.09/30.50 Deleted: 19
% 30.09/30.50 Deletedinuse: 2
% 30.09/30.50
% 30.09/30.50 Resimplifying inuse:
% 30.09/30.50 Done
% 30.09/30.50
% 30.09/30.50 Resimplifying inuse:
% 30.09/30.50 Done
% 30.09/30.50
% 30.09/30.50 *** allocated 256285 integers for termspace/termends
% 30.09/30.50
% 30.09/30.50 Intermediate Status:
% 30.09/30.50 Generated: 71548
% 30.09/30.50 Kept: 8224
% 30.09/30.50 Inuse: 688
% 30.09/30.50 Deleted: 21
% 30.09/30.50 Deletedinuse: 2
% 30.09/30.50
% 30.09/30.50 *** allocated 576640 integers for clauses
% 30.09/30.50 Resimplifying inuse:
% 30.09/30.50 Done
% 30.09/30.50
% 30.09/30.50 Resimplifying inuse:
% 30.09/30.50 Done
% 30.09/30.50
% 30.09/30.50
% 30.09/30.50 Intermediate Status:
% 30.09/30.50 Generated: 111306
% 30.09/30.50 Kept: 10226
% 30.09/30.50 Inuse: 844
% 30.09/30.50 Deleted: 23
% 30.09/30.50 Deletedinuse: 3
% 30.09/30.50
% 30.09/30.50 Resimplifying inuse:
% 30.09/30.50 Done
% 30.09/30.50
% 30.09/30.50 Resimplifying inuse:
% 30.09/30.50 Done
% 30.09/30.50
% 30.09/30.50
% 30.09/30.50 Intermediate Status:
% 30.09/30.50 Generated: 124090
% 30.09/30.50 Kept: 12364
% 30.09/30.50 Inuse: 897
% 30.09/30.50 Deleted: 33
% 30.09/30.50 Deletedinuse: 9
% 30.09/30.50
% 30.09/30.50 Resimplifying inuse:
% 30.09/30.50 Done
% 30.09/30.50
% 30.09/30.50 *** allocated 864960 integers for clauses
% 30.09/30.50 Resimplifying inuse:
% 30.09/30.50 Done
% 30.09/30.50
% 30.09/30.50 *** allocated 384427 integers for termspace/termends
% 30.09/30.50
% 30.09/30.50 Intermediate Status:
% 30.09/30.50 Generated: 134816
% 30.09/30.50 Kept: 14875
% 30.09/30.50 Inuse: 937
% 30.09/30.50 Deleted: 37
% 30.09/30.50 Deletedinuse: 13
% 30.09/30.50
% 30.09/30.50 Resimplifying inuse:
% 30.09/30.50 Done
% 30.09/30.50
% 30.09/30.50 Resimplifying inuse:
% 30.09/30.50 Done
% 30.09/30.50
% 30.09/30.50
% 30.09/30.50 Intermediate Status:
% 30.09/30.50 Generated: 156620
% 30.09/30.50 Kept: 16879
% 30.09/30.50 Inuse: 1036
% 30.09/30.50 Deleted: 49
% 30.09/30.50 Deletedinuse: 13
% 30.09/30.50
% 30.09/30.50 Resimplifying inuse:
% 30.09/30.50 Done
% 30.09/30.50
% 30.09/30.50 Resimplifying inuse:
% 30.09/30.50 Done
% 30.09/30.50
% 30.09/30.50
% 30.09/30.50 Intermediate Status:
% 30.09/30.50 Generated: 177624
% 30.09/30.50 Kept: 18885
% 30.09/30.50 Inuse: 1136
% 30.09/30.50 Deleted: 59
% 30.09/30.50 Deletedinuse: 14
% 30.09/30.50
% 30.09/30.50 Resimplifying inuse:
% 30.09/30.50 Done
% 30.09/30.50
% 30.09/30.50 Resimplifying clauses:
% 30.09/30.50 Done
% 30.09/30.50
% 30.09/30.50 Resimplifying inuse:
% 30.09/30.50 Done
% 30.09/30.50
% 30.09/30.50 *** allocated 1297440 integers for clauses
% 30.09/30.50
% 30.09/30.50 Intermediate Status:
% 30.09/30.50 Generated: 193478
% 30.09/30.50 Kept: 20887
% 30.09/30.50 Inuse: 1248
% 30.09/30.50 Deleted: 2375
% 30.09/30.50 Deletedinuse: 22
% 30.09/30.50
% 30.09/30.50 Resimplifying inuse:
% 30.09/30.50 Done
% 30.09/30.50
% 30.09/30.50 Resimplifying inuse:
% 30.09/30.50 Done
% 30.09/30.50
% 30.09/30.50
% 30.09/30.50 Intermediate Status:
% 30.09/30.50 Generated: 207085
% 30.09/30.50 Kept: 22892
% 30.09/30.50 Inuse: 1350
% 30.09/30.50 Deleted: 2387
% 30.09/30.50 Deletedinuse: 34
% 30.09/30.50
% 30.09/30.50 Resimplifying inuse:
% 30.09/30.50 Done
% 30.09/30.50
% 30.09/30.50 Resimplifying inuse:
% 30.09/30.50 Done
% 30.09/30.50
% 30.09/30.50
% 30.09/30.50 Intermediate Status:
% 30.09/30.50 Generated: 220331
% 30.09/30.50 Kept: 24899
% 30.09/30.50 Inuse: 1489
% 30.09/30.50 Deleted: 2389
% 30.09/30.50 Deletedinuse: 36
% 30.09/30.50
% 30.09/30.50 *** allocated 576640 integers for termspace/termends
% 30.09/30.50 Resimplifying inuse:
% 30.09/30.50 Done
% 30.09/30.50
% 30.09/30.50 Resimplifying inuse:
% 30.09/30.50 Done
% 30.09/30.50
% 30.09/30.50
% 30.09/30.50 Intermediate Status:
% 30.09/30.50 Generated: 237098
% 30.09/30.50 Kept: 26909
% 30.09/30.50 Inuse: 1638
% 30.09/30.50 Deleted: 2390
% 30.09/30.50 Deletedinuse: 36
% 30.09/30.50
% 30.09/30.50 Resimplifying inuse:
% 30.09/30.50 Done
% 30.09/30.50
% 30.09/30.50 Resimplifying inuse:
% 30.09/30.50 Done
% 30.09/30.50
% 30.09/30.50
% 30.09/30.50 Intermediate Status:
% 30.09/30.50 Generated: 250698
% 30.09/30.50 Kept: 28911
% 30.09/30.50 Inuse: 1730
% 30.09/30.50 Deleted: 2393
% 30.09/30.50 Deletedinuse: 39
% 30.09/30.50
% 30.09/30.50 Resimplifying inuse:
% 30.09/30.50 Done
% 30.09/30.50
% 30.09/30.50 *** allocated 1946160 integers for clauses
% 30.09/30.50 Resimplifying inuse:
% 30.09/30.50 Done
% 30.09/30.50
% 30.09/30.50
% 30.09/30.50 Intermediate Status:
% 30.09/30.50 Generated: 267520
% 30.09/30.50 Kept: 31147
% 30.09/30.50 Inuse: 1843
% 30.09/30.50 Deleted: 2398
% 30.09/30.50 Deletedinuse: 44
% 30.09/30.50
% 30.09/30.50 Resimplifying inuse:
% 30.09/30.50 Done
% 30.09/30.50
% 30.09/30.50
% 30.09/30.50 Intermediate Status:
% 30.09/30.50 Generated: 280615
% 30.09/30.50 Kept: 34291
% 30.09/30.50 Inuse: 1913
% 30.09/30.50 Deleted: 2402
% 30.09/30.50 Deletedinuse: 48
% 30.09/30.50
% 30.09/30.50 Resimplifying inuse:
% 30.09/30.50 Done
% 30.09/30.50
% 30.09/30.50
% 30.09/30.50 Intermediate Status:
% 30.09/30.50 Generated: 293805
% 30.09/30.50 Kept: 37007
% 30.09/30.50 Inuse: 1993
% 30.09/30.50 Deleted: 2404
% 30.09/30.50 Deletedinuse: 50
% 30.09/30.50
% 30.09/30.50 Resimplifying inuse:
% 30.09/30.50 Done
% 30.09/30.50
% 30.09/30.50
% 30.09/30.50 Intermediate Status:
% 30.09/30.50 Generated: 303925
% 30.09/30.50 Kept: 39634
% 30.09/30.50 Inuse: 2008
% 30.09/30.50 Deleted: 2404
% 30.09/30.50 Deletedinuse: 50
% 30.09/30.50
% 30.09/30.50 Resimplifying inuse:
% 30.09/30.50 Done
% 30.09/30.50
% 30.09/30.50 *** allocated 864960 integers for termspace/termends
% 30.09/30.50 Resimplifying clauses:
% 30.09/30.50 Done
% 30.09/30.50
% 30.09/30.50 Resimplifying inuse:
% 30.09/30.50 Done
% 30.09/30.50
% 30.09/30.50
% 30.09/30.50 Intermediate Status:
% 30.09/30.50 Generated: 322889
% 30.09/30.50 Kept: 41639
% 30.09/30.50 Inuse: 2060
% 30.09/30.50 Deleted: 6407
% 30.09/30.50 Deletedinuse: 58
% 30.09/30.50
% 30.09/30.50 Resimplifying inuse:
% 30.09/30.50 Done
% 30.09/30.50
% 30.09/30.50
% 30.09/30.50 Intermediate Status:
% 30.09/30.50 Generated: 327203
% 30.09/30.50 Kept: 43645
% 30.09/30.50 Inuse: 2068
% 30.09/30.50 Deleted: 6412
% 30.09/30.50 Deletedinuse: 63
% 30.09/30.50
% 30.09/30.50 Resimplifying inuse:
% 30.09/30.50 Done
% 30.09/30.50
% 30.09/30.50 Resimplifying inuse:
% 30.09/30.50 Done
% 30.09/30.50
% 30.09/30.50
% 30.09/30.50 Intermediate Status:
% 30.09/30.50 Generated: 347954
% 30.09/30.50 Kept: 45654
% 30.09/30.50 Inuse: 2257
% 30.09/30.50 Deleted: 6422
% 30.09/30.50 Deletedinuse: 67
% 30.09/30.50
% 30.09/30.50 *** allocated 2919240 integers for clauses
% 30.09/30.50 Resimplifying inuse:
% 30.09/30.50 Done
% 30.09/30.50
% 30.09/30.50 Resimplifying inuse:
% 30.09/30.50 Done
% 30.09/30.50
% 30.09/30.50
% 30.09/30.50 Intermediate Status:
% 30.09/30.50 Generated: 371963
% 30.09/30.50 Kept: 47675
% 30.09/30.50 Inuse: 2411
% 30.09/30.50 Deleted: 6430
% 30.09/30.50 Deletedinuse: 71
% 30.09/30.50
% 30.09/30.50 Resimplifying inuse:
% 30.09/30.50 Done
% 30.09/30.50
% 30.09/30.50 Resimplifying inuse:
% 30.09/30.50 Done
% 30.09/30.50
% 30.09/30.50
% 30.09/30.50 Intermediate Status:
% 30.09/30.50 Generated: 421035
% 30.09/30.50 Kept: 49676
% 30.09/30.50 Inuse: 2570
% 30.09/30.50 Deleted: 6435
% 30.09/30.50 Deletedinuse: 76
% 30.09/30.50
% 30.09/30.50 Resimplifying inuse:
% 30.09/30.50 Done
% 30.09/30.50
% 30.09/30.50
% 30.09/30.50 Intermediate Status:
% 30.09/30.50 Generated: 491345
% 30.09/30.50 Kept: 51682
% 30.09/30.50 Inuse: 2691
% 30.09/30.50 Deleted: 6443
% 30.09/30.50 Deletedinuse: 79
% 30.09/30.50
% 30.09/30.50 Resimplifying inuse:
% 30.09/30.50 Done
% 30.09/30.50
% 30.09/30.50 Resimplifying inuse:
% 30.09/30.50 Done
% 30.09/30.50
% 30.09/30.50
% 30.09/30.50 Intermediate Status:
% 30.09/30.50 Generated: 509857
% 30.09/30.50 Kept: 53694
% 30.09/30.50 Inuse: 2813
% 30.09/30.50 Deleted: 6608
% 30.09/30.50 Deletedinuse: 177
% 30.09/30.50
% 30.09/30.50 Resimplifying inuse:
% 30.09/30.50 Done
% 30.09/30.50
% 30.09/30.50 Resimplifying inuse:
% 30.09/30.50 Done
% 30.09/30.50
% 30.09/30.50
% 30.09/30.50 Intermediate Status:
% 30.09/30.50 Generated: 536452
% 30.09/30.50 Kept: 55694
% 30.09/30.50 Inuse: 2950
% 30.09/30.50 Deleted: 6640
% 30.09/30.50 Deletedinuse: 177
% 30.09/30.50
% 30.09/30.50 Resimplifying inuse:
% 30.09/30.50 Done
% 30.09/30.50
% 30.09/30.50 Resimplifying inuse:
% 30.09/30.50 Done
% 30.09/30.50
% 30.09/30.50
% 30.09/30.50 Intermediate Status:
% 30.09/30.50 Generated: 606535
% 30.09/30.50 Kept: 57698
% 30.09/30.50 Inuse: 3085
% 30.09/30.50 Deleted: 6676
% 30.09/30.50 Deletedinuse: 179
% 30.09/30.50
% 30.09/30.50 Resimplifying inuse:
% 30.09/30.50 Done
% 30.09/30.50
% 30.09/30.50
% 30.09/30.50 Bliksems!, er is een bewijs:
% 30.09/30.50 % SZS status Theorem
% 30.09/30.50 % SZS output start Refutation
% 30.09/30.50
% 30.09/30.50 (0) {G0,W8,D2,L2,V3,M2} I { ! coll( X, Y, Z ), coll( X, Z, Y ) }.
% 30.09/30.50 (1) {G0,W8,D2,L2,V3,M2} I { ! coll( X, Y, Z ), coll( Y, X, Z ) }.
% 30.09/30.50 (2) {G0,W12,D2,L3,V4,M3} I { ! coll( X, T, Y ), ! coll( X, T, Z ), coll( Y
% 30.09/30.50 , Z, X ) }.
% 30.09/30.50 (3) {G0,W10,D2,L2,V4,M2} I { ! para( X, Y, Z, T ), para( X, Y, T, Z ) }.
% 30.09/30.50 (6) {G0,W10,D2,L2,V4,M2} I { ! perp( X, Y, Z, T ), perp( X, Y, T, Z ) }.
% 30.09/30.50 (7) {G0,W10,D2,L2,V4,M2} I { ! perp( X, Y, Z, T ), perp( Z, T, X, Y ) }.
% 30.09/30.50 (8) {G0,W15,D2,L3,V6,M3} I { ! perp( X, Y, U, W ), ! perp( U, W, Z, T ),
% 30.09/30.50 para( X, Y, Z, T ) }.
% 30.09/30.50 (13) {G0,W10,D2,L2,V4,M2} I { ! cyclic( X, Y, Z, T ), cyclic( X, Y, T, Z )
% 30.09/30.50 }.
% 30.09/30.50 (14) {G0,W10,D2,L2,V4,M2} I { ! cyclic( X, Y, Z, T ), cyclic( X, Z, Y, T )
% 30.09/30.50 }.
% 30.09/30.50 (15) {G0,W10,D2,L2,V4,M2} I { ! cyclic( X, Y, Z, T ), cyclic( Y, X, Z, T )
% 30.09/30.50 }.
% 30.09/30.50 (16) {G0,W15,D2,L3,V5,M3} I { ! cyclic( U, X, Y, Z ), ! cyclic( U, X, Y, T
% 30.09/30.50 ), cyclic( X, Y, Z, T ) }.
% 30.09/30.50 (17) {G0,W18,D2,L2,V8,M2} I { ! eqangle( X, Y, Z, T, U, W, V0, V1 ),
% 30.09/30.50 eqangle( Y, X, Z, T, U, W, V0, V1 ) }.
% 30.09/30.50 (18) {G0,W18,D2,L2,V8,M2} I { ! eqangle( X, Y, Z, T, U, W, V0, V1 ),
% 30.09/30.50 eqangle( Z, T, X, Y, V0, V1, U, W ) }.
% 30.09/30.50 (19) {G0,W18,D2,L2,V8,M2} I { ! eqangle( X, Y, Z, T, U, W, V0, V1 ),
% 30.09/30.50 eqangle( U, W, V0, V1, X, Y, Z, T ) }.
% 30.09/30.50 (20) {G0,W18,D2,L2,V8,M2} I { ! eqangle( X, Y, Z, T, U, W, V0, V1 ),
% 30.09/30.50 eqangle( X, Y, U, W, Z, T, V0, V1 ) }.
% 30.09/30.50 (21) {G0,W27,D2,L3,V12,M3} I { ! eqangle( X, Y, Z, T, V2, V3, V4, V5 ), !
% 30.09/30.50 eqangle( V2, V3, V4, V5, U, W, V0, V1 ), eqangle( X, Y, Z, T, U, W, V0,
% 30.09/30.50 V1 ) }.
% 30.09/30.50 (39) {G0,W14,D2,L2,V6,M2} I { ! para( X, Y, Z, T ), eqangle( X, Y, U, W, Z
% 30.09/30.50 , T, U, W ) }.
% 30.09/30.50 (40) {G0,W14,D2,L2,V4,M2} I { ! cyclic( X, Y, Z, T ), eqangle( Z, X, Z, Y,
% 30.09/30.50 T, X, T, Y ) }.
% 30.09/30.50 (42) {G0,W18,D2,L3,V4,M3} I { ! eqangle( Z, X, Z, Y, T, X, T, Y ), ! coll(
% 30.09/30.50 Z, T, Y ), cyclic( X, Y, Z, T ) }.
% 30.09/30.50 (43) {G0,W29,D2,L5,V6,M5} I { ! cyclic( X, Y, U, Z ), ! cyclic( X, Y, U, T
% 30.09/30.50 ), ! cyclic( X, Y, U, W ), ! eqangle( U, X, U, Y, W, Z, W, T ), cong( X
% 30.09/30.50 , Y, Z, T ) }.
% 30.09/30.50 (56) {G0,W15,D2,L3,V4,M3} I { ! cong( X, Z, Y, Z ), ! cong( X, T, Y, T ),
% 30.09/30.50 perp( X, Y, Z, T ) }.
% 30.09/30.50 (66) {G0,W9,D2,L2,V3,M2} I { ! para( X, Y, X, Z ), coll( X, Y, Z ) }.
% 30.09/30.50 (118) {G0,W5,D2,L1,V0,M1} I { perp( skol24, skol23, skol26, skol22 ) }.
% 30.09/30.50 (119) {G0,W4,D2,L1,V0,M1} I { coll( skol24, skol26, skol22 ) }.
% 30.09/30.50 (120) {G0,W5,D2,L1,V0,M1} I { perp( skol25, skol23, skol26, skol20 ) }.
% 30.09/30.50 (121) {G0,W4,D2,L1,V0,M1} I { coll( skol25, skol26, skol20 ) }.
% 30.09/30.50 (123) {G0,W24,D2,L3,V0,M3} I { alpha3( skol20, skol22, skol23, skol24,
% 30.09/30.50 skol25 ), ! eqangle( skol24, skol23, skol23, skol25, skol23, skol20,
% 30.09/30.50 skol20, skol22 ), ! eqangle( skol23, skol24, skol24, skol25, skol23,
% 30.09/30.50 skol22, skol22, skol20 ) }.
% 30.09/30.50 (125) {G0,W21,D2,L3,V5,M3} I { ! alpha3( X, Y, Z, T, U ), alpha4( X, Y, Z,
% 30.09/30.50 T, U ), ! eqangle( T, Z, Z, U, Z, X, X, Y ) }.
% 30.09/30.50 (129) {G0,W21,D2,L3,V5,M3} I { ! alpha4( X, Y, Z, T, U ), alpha5( X, Y, Z,
% 30.09/30.50 T, U ), ! eqangle( T, Z, Z, U, Z, Y, Y, X ) }.
% 30.09/30.50 (133) {G0,W21,D2,L3,V5,M3} I { ! alpha5( X, Y, Z, T, U ), alpha6( X, Y, Z,
% 30.09/30.50 T, U ), ! eqangle( T, Z, Z, U, Z, Y, Y, X ) }.
% 30.09/30.50 (137) {G0,W15,D2,L2,V5,M2} I;f { ! alpha6( X, Y, Z, T, U ), ! eqangle( T, Z
% 30.09/30.50 , Z, U, Y, Z, Z, X ) }.
% 30.09/30.50 (139) {G1,W8,D2,L2,V3,M2} F(2) { ! coll( X, Y, Z ), coll( Z, Z, X ) }.
% 30.09/30.50 (179) {G1,W4,D2,L1,V0,M1} R(0,119) { coll( skol24, skol22, skol26 ) }.
% 30.09/30.50 (180) {G1,W4,D2,L1,V0,M1} R(0,121) { coll( skol25, skol20, skol26 ) }.
% 30.09/30.50 (183) {G2,W4,D2,L1,V0,M1} R(1,180) { coll( skol20, skol25, skol26 ) }.
% 30.09/30.50 (189) {G3,W4,D2,L1,V0,M1} R(183,0) { coll( skol20, skol26, skol25 ) }.
% 30.09/30.50 (190) {G4,W4,D2,L1,V0,M1} R(189,1) { coll( skol26, skol20, skol25 ) }.
% 30.09/30.50 (212) {G1,W12,D2,L3,V4,M3} R(2,0) { ! coll( X, Y, Z ), ! coll( X, Y, T ),
% 30.09/30.50 coll( Z, X, T ) }.
% 30.09/30.50 (217) {G2,W8,D2,L2,V3,M2} F(212) { ! coll( X, Y, Z ), coll( Z, X, Z ) }.
% 30.09/30.50 (234) {G3,W12,D2,L3,V4,M3} R(217,2) { coll( X, Y, X ), ! coll( X, Z, Y ), !
% 30.09/30.50 coll( X, Z, T ) }.
% 30.09/30.50 (237) {G5,W4,D2,L1,V0,M1} R(217,190) { coll( skol25, skol26, skol25 ) }.
% 30.09/30.50 (244) {G3,W4,D2,L1,V0,M1} R(217,179) { coll( skol26, skol24, skol26 ) }.
% 30.09/30.50 (248) {G4,W8,D2,L2,V3,M2} F(234) { coll( X, Y, X ), ! coll( X, Z, Y ) }.
% 30.09/30.50 (290) {G1,W5,D2,L1,V0,M1} R(7,118) { perp( skol26, skol22, skol24, skol23 )
% 30.09/30.50 }.
% 30.09/30.50 (291) {G1,W5,D2,L1,V0,M1} R(7,120) { perp( skol26, skol20, skol25, skol23 )
% 30.09/30.50 }.
% 30.09/30.50 (299) {G1,W15,D2,L3,V6,M3} R(8,7) { ! perp( X, Y, Z, T ), para( U, W, Z, T
% 30.09/30.50 ), ! perp( X, Y, U, W ) }.
% 30.09/30.50 (300) {G1,W15,D2,L3,V6,M3} R(8,7) { ! perp( X, Y, Z, T ), para( X, Y, U, W
% 30.09/30.50 ), ! perp( U, W, Z, T ) }.
% 30.09/30.50 (312) {G2,W10,D2,L2,V4,M2} F(300) { ! perp( X, Y, Z, T ), para( X, Y, X, Y
% 30.09/30.50 ) }.
% 30.09/30.50 (317) {G6,W4,D2,L1,V0,M1} R(237,0) { coll( skol25, skol25, skol26 ) }.
% 30.09/30.50 (320) {G7,W8,D2,L2,V1,M2} R(317,2) { ! coll( skol25, skol25, X ), coll( X,
% 30.09/30.50 skol26, skol25 ) }.
% 30.09/30.50 (351) {G4,W4,D2,L1,V0,M1} R(244,0) { coll( skol26, skol26, skol24 ) }.
% 30.09/30.50 (353) {G5,W8,D2,L2,V1,M2} R(351,2) { ! coll( skol26, skol26, X ), coll(
% 30.09/30.50 skol24, X, skol26 ) }.
% 30.09/30.50 (370) {G2,W5,D2,L1,V0,M1} R(290,6) { perp( skol26, skol22, skol23, skol24 )
% 30.09/30.50 }.
% 30.09/30.50 (374) {G3,W5,D2,L1,V0,M1} R(370,7) { perp( skol23, skol24, skol26, skol22 )
% 30.09/30.50 }.
% 30.09/30.50 (376) {G1,W10,D2,L2,V4,M2} R(14,13) { ! cyclic( X, Y, Z, T ), cyclic( X, Z
% 30.09/30.50 , T, Y ) }.
% 30.09/30.50 (380) {G4,W5,D2,L1,V0,M1} R(374,6) { perp( skol23, skol24, skol22, skol26 )
% 30.09/30.50 }.
% 30.09/30.50 (392) {G1,W10,D2,L2,V4,M2} R(15,14) { cyclic( X, Y, Z, T ), ! cyclic( Y, Z
% 30.09/30.50 , X, T ) }.
% 30.09/30.50 (394) {G1,W10,D2,L2,V4,M2} R(15,13) { cyclic( X, Y, Z, T ), ! cyclic( Y, X
% 30.09/30.50 , T, Z ) }.
% 30.09/30.50 (403) {G2,W5,D2,L1,V0,M1} R(291,6) { perp( skol26, skol20, skol23, skol25 )
% 30.09/30.50 }.
% 30.09/30.50 (407) {G3,W5,D2,L1,V0,M1} R(403,7) { perp( skol23, skol25, skol26, skol20 )
% 30.09/30.50 }.
% 30.09/30.50 (411) {G4,W5,D2,L1,V0,M1} R(407,6) { perp( skol23, skol25, skol20, skol26 )
% 30.09/30.50 }.
% 30.09/30.50 (420) {G1,W15,D2,L3,V5,M3} R(16,15) { ! cyclic( X, Y, Z, T ), ! cyclic( X,
% 30.09/30.50 Y, Z, U ), cyclic( Z, Y, T, U ) }.
% 30.09/30.50 (425) {G1,W15,D2,L3,V5,M3} R(16,13) { ! cyclic( X, Y, Z, T ), cyclic( Y, Z
% 30.09/30.50 , T, U ), ! cyclic( X, Y, U, Z ) }.
% 30.09/30.50 (429) {G2,W10,D2,L2,V4,M2} F(420) { ! cyclic( X, Y, Z, T ), cyclic( Z, Y, T
% 30.09/30.50 , T ) }.
% 30.09/30.50 (454) {G5,W8,D2,L2,V3,M2} R(248,1) { ! coll( X, Y, Z ), coll( Z, X, X ) }.
% 30.09/30.50 (462) {G6,W8,D2,L2,V3,M2} R(454,0) { coll( X, Y, Y ), ! coll( Y, X, Z ) }.
% 30.09/30.50 (476) {G1,W18,D2,L2,V8,M2} R(20,19) { ! eqangle( X, Y, Z, T, U, W, V0, V1 )
% 30.09/30.50 , eqangle( Z, T, V0, V1, X, Y, U, W ) }.
% 30.09/30.50 (494) {G1,W27,D2,L3,V12,M3} R(21,17) { ! eqangle( X, Y, Z, T, U, W, V0, V1
% 30.09/30.50 ), eqangle( V2, V3, V4, V5, U, W, V0, V1 ), ! eqangle( V3, V2, V4, V5, X
% 30.09/30.50 , Y, Z, T ) }.
% 30.09/30.50 (535) {G7,W8,D2,L2,V3,M2} R(462,462) { ! coll( X, Y, Z ), coll( X, Y, Y )
% 30.09/30.50 }.
% 30.09/30.50 (538) {G8,W12,D2,L3,V4,M3} R(535,2) { ! coll( X, Y, Z ), ! coll( X, Y, T )
% 30.09/30.50 , coll( T, Y, X ) }.
% 30.09/30.50 (539) {G9,W8,D2,L2,V3,M2} F(538) { ! coll( X, Y, Z ), coll( Z, Y, X ) }.
% 30.09/30.50 (555) {G10,W8,D2,L2,V3,M2} R(539,535) { coll( X, X, Y ), ! coll( Y, X, Z )
% 30.09/30.50 }.
% 30.09/30.50 (809) {G1,W14,D2,L2,V6,M2} R(39,20) { ! para( X, Y, Z, T ), eqangle( X, Y,
% 30.09/30.50 Z, T, U, W, U, W ) }.
% 30.09/30.50 (811) {G1,W14,D2,L2,V6,M2} R(39,18) { ! para( X, Y, Z, T ), eqangle( U, W,
% 30.09/30.50 X, Y, U, W, Z, T ) }.
% 30.09/30.50 (815) {G1,W14,D2,L2,V6,M2} R(39,3) { eqangle( X, Y, Z, T, U, W, Z, T ), !
% 30.09/30.50 para( X, Y, W, U ) }.
% 30.09/30.50 (855) {G1,W18,D2,L3,V4,M3} R(42,19) { ! coll( X, Y, Z ), cyclic( T, Z, X, Y
% 30.09/30.50 ), ! eqangle( Y, T, Y, Z, X, T, X, Z ) }.
% 30.09/30.50 (931) {G1,W20,D2,L4,V4,M4} R(43,40);f { ! cyclic( X, Y, Z, X ), ! cyclic( X
% 30.09/30.50 , Y, Z, Y ), ! cyclic( X, Y, Z, T ), cong( X, Y, X, Y ) }.
% 30.09/30.50 (963) {G2,W15,D2,L3,V3,M3} F(931) { ! cyclic( X, Y, Z, X ), ! cyclic( X, Y
% 30.09/30.50 , Z, Y ), cong( X, Y, X, Y ) }.
% 30.09/30.50 (20348) {G5,W5,D2,L1,V0,M1} R(312,411) { para( skol23, skol25, skol23,
% 30.09/30.50 skol25 ) }.
% 30.09/30.50 (20350) {G5,W5,D2,L1,V0,M1} R(312,380) { para( skol23, skol24, skol23,
% 30.09/30.50 skol24 ) }.
% 30.09/30.50 (20883) {G6,W4,D2,L1,V0,M1} R(20348,66) { coll( skol23, skol25, skol25 )
% 30.09/30.50 }.
% 30.09/30.50 (20916) {G7,W4,D2,L1,V0,M1} R(20883,139) { coll( skol25, skol25, skol23 )
% 30.09/30.50 }.
% 30.09/30.50 (20922) {G8,W4,D2,L1,V0,M1} R(20916,320) { coll( skol23, skol26, skol25 )
% 30.09/30.50 }.
% 30.09/30.50 (20968) {G11,W4,D2,L1,V0,M1} R(20922,555) { coll( skol26, skol26, skol23 )
% 30.09/30.50 }.
% 30.09/30.50 (22184) {G12,W4,D2,L1,V0,M1} R(353,20968) { coll( skol24, skol23, skol26 )
% 30.09/30.50 }.
% 30.09/30.50 (22240) {G13,W4,D2,L1,V0,M1} R(22184,555) { coll( skol23, skol23, skol24 )
% 30.09/30.50 }.
% 30.09/30.50 (48713) {G6,W9,D2,L1,V2,M1} R(811,20350) { eqangle( X, Y, skol23, skol24, X
% 30.09/30.50 , Y, skol23, skol24 ) }.
% 30.09/30.50 (51453) {G14,W5,D2,L1,V1,M1} R(855,22240);r(48713) { cyclic( X, skol24,
% 30.09/30.50 skol23, skol23 ) }.
% 30.09/30.50 (51702) {G15,W5,D2,L1,V1,M1} R(51453,394) { cyclic( skol24, X, skol23,
% 30.09/30.50 skol23 ) }.
% 30.09/30.50 (51714) {G16,W5,D2,L1,V1,M1} R(51702,429) { cyclic( skol23, X, skol23,
% 30.09/30.50 skol23 ) }.
% 30.09/30.50 (51736) {G17,W5,D2,L1,V1,M1} R(51714,392) { cyclic( skol23, skol23, X,
% 30.09/30.50 skol23 ) }.
% 30.09/30.50 (51737) {G17,W5,D2,L1,V1,M1} R(51714,376) { cyclic( skol23, skol23, skol23
% 30.09/30.50 , X ) }.
% 30.09/30.50 (51742) {G18,W5,D2,L1,V2,M1} R(51736,425);r(51737) { cyclic( skol23, skol23
% 30.09/30.50 , X, Y ) }.
% 30.09/30.50 (52016) {G19,W5,D2,L1,V3,M1} R(51742,425);r(51742) { cyclic( skol23, X, Y,
% 30.09/30.50 Z ) }.
% 30.09/30.50 (52035) {G20,W5,D2,L1,V4,M1} R(52016,425);r(52016) { cyclic( X, Y, Z, T )
% 30.09/30.50 }.
% 30.09/30.50 (57723) {G21,W5,D2,L1,V2,M1} S(963);r(52035);r(52035) { cong( X, Y, X, Y )
% 30.09/30.50 }.
% 30.09/30.50 (57740) {G22,W5,D2,L1,V3,M1} R(57723,56);r(57723) { perp( X, X, Z, Y ) }.
% 30.09/30.50 (57773) {G23,W5,D2,L1,V4,M1} R(57740,299);r(57740) { para( X, Y, Z, T ) }.
% 30.09/30.50 (57796) {G24,W9,D2,L1,V6,M1} S(815);r(57773) { eqangle( X, Y, Z, T, U, W, Z
% 30.09/30.50 , T ) }.
% 30.09/30.50 (57798) {G24,W9,D2,L1,V6,M1} S(809);r(57773) { eqangle( X, Y, Z, T, U, W, U
% 30.09/30.50 , W ) }.
% 30.09/30.50 (57995) {G25,W9,D2,L1,V6,M1} R(57796,476) { eqangle( X, Y, X, Y, Z, T, U, W
% 30.09/30.50 ) }.
% 30.09/30.50 (58007) {G26,W9,D2,L1,V8,M1} R(57995,494);r(57798) { eqangle( X, Y, Z, T, U
% 30.09/30.50 , W, V0, V1 ) }.
% 30.09/30.50 (58012) {G27,W6,D2,L1,V5,M1} R(58007,137) { ! alpha6( X, Y, Z, T, U ) }.
% 30.09/30.50 (58013) {G28,W6,D2,L1,V5,M1} R(58007,133);r(58012) { ! alpha5( X, Y, Z, T,
% 30.09/30.50 U ) }.
% 30.09/30.50 (58014) {G29,W6,D2,L1,V5,M1} R(58007,129);r(58013) { ! alpha4( X, Y, Z, T,
% 30.09/30.50 U ) }.
% 30.09/30.50 (58015) {G30,W6,D2,L1,V5,M1} R(58007,125);r(58014) { ! alpha3( X, Y, Z, T,
% 30.09/30.50 U ) }.
% 30.09/30.50 (58016) {G31,W9,D2,L1,V0,M1} R(58007,123);r(58015) { ! eqangle( skol23,
% 30.09/30.50 skol24, skol24, skol25, skol23, skol22, skol22, skol20 ) }.
% 30.09/30.50 (58019) {G32,W0,D0,L0,V0,M0} S(58016);r(58007) { }.
% 30.09/30.50
% 30.09/30.50
% 30.09/30.50 % SZS output end Refutation
% 30.09/30.50 found a proof!
% 30.09/30.50
% 30.09/30.50
% 30.09/30.50 Unprocessed initial clauses:
% 30.09/30.50
% 30.09/30.50 (58021) {G0,W8,D2,L2,V3,M2} { ! coll( X, Y, Z ), coll( X, Z, Y ) }.
% 30.09/30.50 (58022) {G0,W8,D2,L2,V3,M2} { ! coll( X, Y, Z ), coll( Y, X, Z ) }.
% 30.09/30.50 (58023) {G0,W12,D2,L3,V4,M3} { ! coll( X, T, Y ), ! coll( X, T, Z ), coll
% 30.09/30.50 ( Y, Z, X ) }.
% 30.09/30.50 (58024) {G0,W10,D2,L2,V4,M2} { ! para( X, Y, Z, T ), para( X, Y, T, Z )
% 30.09/30.50 }.
% 30.09/30.50 (58025) {G0,W10,D2,L2,V4,M2} { ! para( X, Y, Z, T ), para( Z, T, X, Y )
% 30.09/30.50 }.
% 30.09/30.50 (58026) {G0,W15,D2,L3,V6,M3} { ! para( X, Y, U, W ), ! para( U, W, Z, T )
% 30.09/30.50 , para( X, Y, Z, T ) }.
% 30.09/30.50 (58027) {G0,W10,D2,L2,V4,M2} { ! perp( X, Y, Z, T ), perp( X, Y, T, Z )
% 30.09/30.50 }.
% 30.09/30.50 (58028) {G0,W10,D2,L2,V4,M2} { ! perp( X, Y, Z, T ), perp( Z, T, X, Y )
% 30.09/30.50 }.
% 30.09/30.50 (58029) {G0,W15,D2,L3,V6,M3} { ! perp( X, Y, U, W ), ! perp( U, W, Z, T )
% 30.09/30.50 , para( X, Y, Z, T ) }.
% 30.09/30.50 (58030) {G0,W15,D2,L3,V6,M3} { ! para( X, Y, U, W ), ! perp( U, W, Z, T )
% 30.09/30.50 , perp( X, Y, Z, T ) }.
% 30.09/30.50 (58031) {G0,W8,D2,L2,V3,M2} { ! midp( Z, Y, X ), midp( Z, X, Y ) }.
% 30.09/30.50 (58032) {G0,W15,D2,L3,V4,M3} { ! cong( T, X, T, Y ), ! cong( T, X, T, Z )
% 30.09/30.50 , circle( T, X, Y, Z ) }.
% 30.09/30.50 (58033) {G0,W20,D2,L4,V5,M4} { ! cong( U, X, U, Y ), ! cong( U, X, U, Z )
% 30.09/30.50 , ! cong( U, X, U, T ), cyclic( X, Y, Z, T ) }.
% 30.09/30.50 (58034) {G0,W10,D2,L2,V4,M2} { ! cyclic( X, Y, Z, T ), cyclic( X, Y, T, Z
% 30.09/30.50 ) }.
% 30.09/30.50 (58035) {G0,W10,D2,L2,V4,M2} { ! cyclic( X, Y, Z, T ), cyclic( X, Z, Y, T
% 30.09/30.50 ) }.
% 30.09/30.50 (58036) {G0,W10,D2,L2,V4,M2} { ! cyclic( X, Y, Z, T ), cyclic( Y, X, Z, T
% 30.09/30.50 ) }.
% 30.09/30.50 (58037) {G0,W15,D2,L3,V5,M3} { ! cyclic( U, X, Y, Z ), ! cyclic( U, X, Y,
% 30.09/30.50 T ), cyclic( X, Y, Z, T ) }.
% 30.09/30.50 (58038) {G0,W18,D2,L2,V8,M2} { ! eqangle( X, Y, Z, T, U, W, V0, V1 ),
% 30.09/30.50 eqangle( Y, X, Z, T, U, W, V0, V1 ) }.
% 30.09/30.50 (58039) {G0,W18,D2,L2,V8,M2} { ! eqangle( X, Y, Z, T, U, W, V0, V1 ),
% 30.09/30.50 eqangle( Z, T, X, Y, V0, V1, U, W ) }.
% 30.09/30.50 (58040) {G0,W18,D2,L2,V8,M2} { ! eqangle( X, Y, Z, T, U, W, V0, V1 ),
% 30.09/30.50 eqangle( U, W, V0, V1, X, Y, Z, T ) }.
% 30.09/30.50 (58041) {G0,W18,D2,L2,V8,M2} { ! eqangle( X, Y, Z, T, U, W, V0, V1 ),
% 30.09/30.50 eqangle( X, Y, U, W, Z, T, V0, V1 ) }.
% 30.09/30.50 (58042) {G0,W27,D2,L3,V12,M3} { ! eqangle( X, Y, Z, T, V2, V3, V4, V5 ), !
% 30.09/30.50 eqangle( V2, V3, V4, V5, U, W, V0, V1 ), eqangle( X, Y, Z, T, U, W, V0,
% 30.09/30.50 V1 ) }.
% 30.09/30.50 (58043) {G0,W10,D2,L2,V4,M2} { ! cong( X, Y, Z, T ), cong( X, Y, T, Z )
% 30.09/30.50 }.
% 30.09/30.50 (58044) {G0,W10,D2,L2,V4,M2} { ! cong( X, Y, Z, T ), cong( Z, T, X, Y )
% 30.09/30.50 }.
% 30.09/30.50 (58045) {G0,W15,D2,L3,V6,M3} { ! cong( X, Y, U, W ), ! cong( U, W, Z, T )
% 30.09/30.50 , cong( X, Y, Z, T ) }.
% 30.09/30.50 (58046) {G0,W18,D2,L2,V8,M2} { ! eqratio( X, Y, Z, T, U, W, V0, V1 ),
% 30.09/30.50 eqratio( Y, X, Z, T, U, W, V0, V1 ) }.
% 30.09/30.50 (58047) {G0,W18,D2,L2,V8,M2} { ! eqratio( X, Y, Z, T, U, W, V0, V1 ),
% 30.09/30.50 eqratio( Z, T, X, Y, V0, V1, U, W ) }.
% 30.09/30.50 (58048) {G0,W18,D2,L2,V8,M2} { ! eqratio( X, Y, Z, T, U, W, V0, V1 ),
% 30.09/30.50 eqratio( U, W, V0, V1, X, Y, Z, T ) }.
% 30.09/30.50 (58049) {G0,W18,D2,L2,V8,M2} { ! eqratio( X, Y, Z, T, U, W, V0, V1 ),
% 30.09/30.50 eqratio( X, Y, U, W, Z, T, V0, V1 ) }.
% 30.09/30.50 (58050) {G0,W27,D2,L3,V12,M3} { ! eqratio( X, Y, Z, T, V2, V3, V4, V5 ), !
% 30.09/30.50 eqratio( V2, V3, V4, V5, U, W, V0, V1 ), eqratio( X, Y, Z, T, U, W, V0,
% 30.09/30.50 V1 ) }.
% 30.09/30.50 (58051) {G0,W14,D2,L2,V6,M2} { ! simtri( X, Z, Y, T, W, U ), simtri( X, Y
% 30.09/30.50 , Z, T, U, W ) }.
% 30.09/30.50 (58052) {G0,W14,D2,L2,V6,M2} { ! simtri( Y, X, Z, U, T, W ), simtri( X, Y
% 30.09/30.50 , Z, T, U, W ) }.
% 30.09/30.50 (58053) {G0,W14,D2,L2,V6,M2} { ! simtri( T, U, W, X, Y, Z ), simtri( X, Y
% 30.09/30.50 , Z, T, U, W ) }.
% 30.09/30.50 (58054) {G0,W21,D2,L3,V9,M3} { ! simtri( X, Y, Z, V0, V1, V2 ), ! simtri(
% 30.09/30.50 V0, V1, V2, T, U, W ), simtri( X, Y, Z, T, U, W ) }.
% 30.09/30.50 (58055) {G0,W14,D2,L2,V6,M2} { ! contri( X, Z, Y, T, W, U ), contri( X, Y
% 30.09/30.50 , Z, T, U, W ) }.
% 30.09/30.50 (58056) {G0,W14,D2,L2,V6,M2} { ! contri( Y, X, Z, U, T, W ), contri( X, Y
% 30.09/30.50 , Z, T, U, W ) }.
% 30.09/30.50 (58057) {G0,W14,D2,L2,V6,M2} { ! contri( T, U, W, X, Y, Z ), contri( X, Y
% 30.09/30.50 , Z, T, U, W ) }.
% 30.09/30.50 (58058) {G0,W21,D2,L3,V9,M3} { ! contri( X, Y, Z, V0, V1, V2 ), ! contri(
% 30.09/30.50 V0, V1, V2, T, U, W ), contri( X, Y, Z, T, U, W ) }.
% 30.09/30.50 (58059) {G0,W14,D2,L2,V6,M2} { ! eqangle( X, Y, U, W, Z, T, U, W ), para(
% 30.09/30.50 X, Y, Z, T ) }.
% 30.09/30.50 (58060) {G0,W14,D2,L2,V6,M2} { ! para( X, Y, Z, T ), eqangle( X, Y, U, W,
% 30.09/30.50 Z, T, U, W ) }.
% 30.09/30.50 (58061) {G0,W14,D2,L2,V4,M2} { ! cyclic( X, Y, Z, T ), eqangle( Z, X, Z, Y
% 30.09/30.50 , T, X, T, Y ) }.
% 30.09/30.50 (58062) {G0,W18,D2,L3,V4,M3} { ! eqangle( Z, X, Z, Y, T, X, T, Y ), coll(
% 30.09/30.50 Z, T, X ), cyclic( X, Y, Z, T ) }.
% 30.09/30.50 (58063) {G0,W18,D2,L3,V4,M3} { ! eqangle( Z, X, Z, Y, T, X, T, Y ), ! coll
% 30.09/30.50 ( Z, T, Y ), cyclic( X, Y, Z, T ) }.
% 30.09/30.50 (58064) {G0,W29,D2,L5,V6,M5} { ! cyclic( X, Y, U, Z ), ! cyclic( X, Y, U,
% 30.09/30.50 T ), ! cyclic( X, Y, U, W ), ! eqangle( U, X, U, Y, W, Z, W, T ), cong( X
% 30.09/30.50 , Y, Z, T ) }.
% 30.09/30.50 (58065) {G0,W13,D2,L3,V5,M3} { ! midp( Z, U, X ), ! midp( T, U, Y ), para
% 30.09/30.50 ( Z, T, X, Y ) }.
% 30.09/30.50 (58066) {G0,W17,D2,L4,V5,M4} { ! midp( U, X, T ), ! para( U, Z, T, Y ), !
% 30.09/30.50 coll( Z, X, Y ), midp( Z, X, Y ) }.
% 30.09/30.50 (58067) {G0,W14,D2,L2,V3,M2} { ! cong( Z, X, Z, Y ), eqangle( Z, X, X, Y,
% 30.09/30.50 X, Y, Z, Y ) }.
% 30.09/30.50 (58068) {G0,W18,D2,L3,V3,M3} { ! eqangle( Z, X, X, Y, X, Y, Z, Y ), coll(
% 30.09/30.50 Z, X, Y ), cong( Z, X, Z, Y ) }.
% 30.09/30.50 (58069) {G0,W19,D2,L3,V5,M3} { ! circle( U, X, Y, Z ), ! perp( U, X, X, T
% 30.09/30.50 ), eqangle( X, T, X, Y, Z, X, Z, Y ) }.
% 30.09/30.50 (58070) {G0,W19,D2,L3,V5,M3} { ! circle( Y, X, T, U ), ! eqangle( X, Z, X
% 30.09/30.50 , T, U, X, U, T ), perp( Y, X, X, Z ) }.
% 30.09/30.50 (58071) {G0,W18,D2,L3,V5,M3} { ! circle( T, X, Y, Z ), ! midp( U, Y, Z ),
% 30.09/30.50 eqangle( X, Y, X, Z, T, Y, T, U ) }.
% 30.09/30.50 (58072) {G0,W22,D2,L4,V5,M4} { ! circle( U, T, X, Y ), ! coll( Z, X, Y ),
% 30.09/30.50 ! eqangle( T, X, T, Y, U, X, U, Z ), midp( Z, X, Y ) }.
% 30.09/30.50 (58073) {G0,W14,D2,L3,V4,M3} { ! perp( X, Y, Y, T ), ! midp( Z, X, T ),
% 30.09/30.50 cong( X, Z, Y, Z ) }.
% 30.09/30.50 (58074) {G0,W14,D2,L3,V4,M3} { ! circle( T, X, Y, Z ), ! coll( T, X, Z ),
% 30.09/30.50 perp( X, Y, Y, Z ) }.
% 30.09/30.50 (58075) {G0,W19,D2,L3,V4,M3} { ! cyclic( X, Y, Z, T ), ! para( X, Y, Z, T
% 30.09/30.50 ), eqangle( X, T, Z, T, Z, T, Z, Y ) }.
% 30.09/30.50 (58076) {G0,W14,D2,L3,V4,M3} { ! midp( T, X, Y ), ! perp( Z, T, X, Y ),
% 30.09/30.50 cong( Z, X, Z, Y ) }.
% 30.09/30.50 (58077) {G0,W15,D2,L3,V4,M3} { ! cong( X, Z, Y, Z ), ! cong( X, T, Y, T )
% 30.09/30.50 , perp( X, Y, Z, T ) }.
% 30.09/30.50 (58078) {G0,W20,D2,L4,V4,M4} { ! cong( X, Y, T, Y ), ! cong( X, Z, T, Z )
% 30.09/30.50 , ! cyclic( X, T, Y, Z ), perp( Y, X, X, Z ) }.
% 30.09/30.50 (58079) {G0,W29,D2,L4,V6,M4} { ! eqangle( X, Y, Y, Z, T, U, U, W ), !
% 30.09/30.50 eqangle( X, Z, Y, Z, T, W, U, W ), coll( X, Y, Z ), simtri( X, Y, Z, T, U
% 30.09/30.50 , W ) }.
% 30.09/30.50 (58080) {G0,W16,D2,L2,V6,M2} { ! simtri( X, Y, Z, T, U, W ), eqratio( X, Y
% 30.09/30.50 , X, Z, T, U, T, W ) }.
% 30.09/30.50 (58081) {G0,W16,D2,L2,V6,M2} { ! simtri( X, Y, Z, T, U, W ), eqangle( X, Y
% 30.09/30.50 , Y, Z, T, U, U, W ) }.
% 30.09/30.50 (58082) {G0,W19,D2,L3,V6,M3} { ! simtri( X, Y, Z, T, U, W ), ! cong( X, Y
% 30.09/30.50 , T, U ), contri( X, Y, Z, T, U, W ) }.
% 30.09/30.50 (58083) {G0,W12,D2,L2,V6,M2} { ! contri( X, Y, U, Z, T, W ), cong( X, Y, Z
% 30.09/30.50 , T ) }.
% 30.09/30.50 (58084) {G0,W13,D2,L3,V5,M3} { ! midp( U, X, Y ), ! midp( U, Z, T ), para
% 30.09/30.50 ( X, Z, Y, T ) }.
% 30.09/30.50 (58085) {G0,W18,D2,L4,V5,M4} { ! midp( Z, T, U ), ! para( T, X, U, Y ), !
% 30.09/30.50 para( T, Y, U, X ), midp( Z, X, Y ) }.
% 30.09/30.50 (58086) {G0,W22,D2,L4,V5,M4} { ! para( X, Y, Z, T ), ! coll( U, X, Z ), !
% 30.09/30.50 coll( U, Y, T ), eqratio( U, X, X, Z, U, Y, Y, T ) }.
% 30.09/30.50 (58087) {G0,W9,D2,L2,V3,M2} { ! para( X, Y, X, Z ), coll( X, Y, Z ) }.
% 30.09/30.50 (58088) {G0,W13,D2,L3,V3,M3} { ! cong( X, Y, X, Z ), ! coll( X, Y, Z ),
% 30.09/30.50 midp( X, Y, Z ) }.
% 30.09/30.50 (58089) {G0,W9,D2,L2,V3,M2} { ! midp( X, Y, Z ), cong( X, Y, X, Z ) }.
% 30.09/30.50 (58090) {G0,W8,D2,L2,V3,M2} { ! midp( X, Y, Z ), coll( X, Y, Z ) }.
% 30.09/30.50 (58091) {G0,W17,D2,L3,V6,M3} { ! midp( U, X, Y ), ! midp( W, Z, T ),
% 30.09/30.50 eqratio( U, X, X, Y, W, Z, Z, T ) }.
% 30.09/30.50 (58092) {G0,W19,D2,L3,V4,M3} { ! eqangle( X, Y, Z, T, Z, T, X, Y ), para(
% 30.09/30.50 X, Y, Z, T ), perp( X, Y, Z, T ) }.
% 30.09/30.50 (58093) {G0,W19,D2,L3,V4,M3} { ! eqangle( X, Y, Z, T, Z, T, X, Y ), perp(
% 30.09/30.50 X, Y, Z, T ), para( X, Y, Z, T ) }.
% 30.09/30.50 (58094) {G0,W19,D2,L3,V8,M3} { ! eqangle( X, Y, Z, T, U, W, V0, V1 ), !
% 30.09/30.50 para( U, W, V0, V1 ), para( X, Y, Z, T ) }.
% 30.09/30.50 (58095) {G0,W19,D2,L3,V8,M3} { ! eqangle( X, Y, Z, T, U, W, V0, V1 ), !
% 30.09/30.50 perp( U, W, V0, V1 ), perp( X, Y, Z, T ) }.
% 30.09/30.50 (58096) {G0,W19,D2,L3,V8,M3} { ! eqratio( X, Y, Z, T, U, W, V0, V1 ), !
% 30.09/30.50 cong( U, W, V0, V1 ), cong( X, Y, Z, T ) }.
% 30.09/30.50 (58097) {G0,W22,D3,L3,V6,M3} { ! perp( Z, Y, Y, X ), ! eqangle( T, Z, Y, Z
% 30.09/30.50 , Y, Z, X, Z ), coll( skol1( U, W, Z, T ), Z, T ) }.
% 30.09/30.50 (58098) {G0,W22,D3,L3,V4,M3} { ! perp( Z, Y, Y, X ), ! eqangle( T, Z, Y, Z
% 30.09/30.50 , Y, Z, X, Z ), coll( skol1( X, Y, Z, T ), X, Y ) }.
% 30.09/30.50 (58099) {G0,W22,D3,L3,V6,M3} { ! cong( Z, X, Z, Y ), ! eqangle( X, Z, Z, T
% 30.09/30.50 , Z, T, Z, Y ), coll( skol2( U, W, Z, T ), Z, T ) }.
% 30.09/30.50 (58100) {G0,W22,D3,L3,V4,M3} { ! cong( Z, X, Z, Y ), ! eqangle( X, Z, Z, T
% 30.09/30.50 , Z, T, Z, Y ), coll( Y, X, skol2( X, Y, Z, T ) ) }.
% 30.09/30.50 (58101) {G0,W22,D3,L3,V6,M3} { ! perp( Z, T, X, Y ), ! eqangle( X, Z, Z, T
% 30.09/30.50 , Z, T, Z, Y ), coll( skol3( U, W, Z, T ), Z, T ) }.
% 30.09/30.50 (58102) {G0,W22,D3,L3,V4,M3} { ! perp( Z, T, X, Y ), ! eqangle( X, Z, Z, T
% 30.09/30.50 , Z, T, Z, Y ), coll( Y, X, skol3( X, Y, Z, T ) ) }.
% 30.09/30.50 (58103) {G0,W18,D3,L3,V6,M3} { ! perp( Z, T, X, Y ), ! cong( Z, X, Z, Y )
% 30.09/30.50 , coll( skol4( U, W, Z, T ), Z, T ) }.
% 30.09/30.50 (58104) {G0,W18,D3,L3,V4,M3} { ! perp( Z, T, X, Y ), ! cong( Z, X, Z, Y )
% 30.09/30.50 , coll( Y, X, skol4( X, Y, Z, T ) ) }.
% 30.09/30.50 (58105) {G0,W22,D3,L3,V6,M3} { ! eqangle( X, Z, Y, Z, X, T, Y, U ), coll(
% 30.09/30.50 X, Y, Z ), cyclic( T, Y, Z, skol5( W, Y, Z, T ) ) }.
% 30.09/30.50 (58106) {G0,W30,D3,L3,V5,M3} { ! eqangle( X, Z, Y, Z, X, T, Y, U ), coll(
% 30.09/30.50 X, Y, Z ), eqangle( X, Z, Y, Z, X, skol5( X, Y, Z, T ), Y, skol5( X, Y, Z
% 30.09/30.50 , T ) ) }.
% 30.09/30.50 (58107) {G0,W18,D3,L3,V10,M3} { ! midp( U, X, Y ), ! midp( W, Z, T ), midp
% 30.09/30.50 ( skol6( X, V0, V1, T, V2, V3 ), X, T ) }.
% 30.09/30.50 (58108) {G0,W19,D3,L3,V8,M3} { ! midp( U, X, Y ), ! midp( W, Z, T ), para
% 30.09/30.50 ( skol6( X, V0, Z, T, V1, W ), W, X, Z ) }.
% 30.09/30.50 (58109) {G0,W19,D3,L3,V6,M3} { ! midp( U, X, Y ), ! midp( W, Z, T ), para
% 30.09/30.50 ( skol6( X, Y, Z, T, U, W ), U, Y, T ) }.
% 30.09/30.50 (58110) {G0,W22,D3,L5,V7,M5} { ! midp( Z, X, Y ), ! midp( W, T, U ), !
% 30.09/30.50 coll( T, X, Y ), ! coll( U, X, Y ), midp( skol7( X, V0 ), X, V0 ) }.
% 30.09/30.50 (58111) {G0,W26,D3,L5,V8,M5} { ! midp( T, X, U ), ! para( X, W, Z, T ), !
% 30.09/30.50 para( X, W, U, Y ), ! coll( W, Y, Z ), coll( skol8( V0, V1, Z, T ), T, Z
% 30.09/30.50 ) }.
% 30.09/30.50 (58112) {G0,W26,D3,L5,V6,M5} { ! midp( T, X, U ), ! para( X, W, Z, T ), !
% 30.09/30.50 para( X, W, U, Y ), ! coll( W, Y, Z ), coll( skol8( X, Y, Z, T ), X, Y )
% 30.09/30.50 }.
% 30.09/30.50 (58113) {G0,W19,D3,L3,V7,M3} { ! cong( T, Z, T, U ), ! perp( X, Y, Y, T )
% 30.09/30.50 , cong( T, Z, T, skol9( W, V0, Z, T ) ) }.
% 30.09/30.50 (58114) {G0,W19,D3,L3,V6,M3} { ! cong( T, Z, T, U ), ! perp( X, Y, Y, T )
% 30.09/30.50 , cong( Y, Z, Y, skol9( W, Y, Z, T ) ) }.
% 30.09/30.50 (58115) {G0,W19,D3,L3,V5,M3} { ! cong( T, Z, T, U ), ! perp( X, Y, Y, T )
% 30.09/30.50 , para( skol9( X, Y, Z, T ), Z, X, Y ) }.
% 30.09/30.50 (58116) {G0,W17,D3,L3,V5,M3} { ! perp( X, T, Y, Z ), ! perp( Y, T, X, Z )
% 30.09/30.50 , coll( skol10( U, Y, Z ), Z, Y ) }.
% 30.09/30.50 (58117) {G0,W18,D3,L3,V4,M3} { ! perp( X, T, Y, Z ), ! perp( Y, T, X, Z )
% 30.09/30.50 , perp( X, skol10( X, Y, Z ), Z, Y ) }.
% 30.09/30.50 (58118) {G0,W14,D2,L3,V4,M3} { ! perp( X, T, Y, Z ), ! perp( Y, T, X, Z )
% 30.09/30.50 , alpha1( X, Y, Z ) }.
% 30.09/30.50 (58119) {G0,W11,D3,L2,V4,M2} { ! alpha1( X, Y, Z ), coll( skol11( X, T, Z
% 30.09/30.50 ), Z, X ) }.
% 30.09/30.50 (58120) {G0,W12,D3,L2,V3,M2} { ! alpha1( X, Y, Z ), perp( Y, skol11( X, Y
% 30.09/30.50 , Z ), Z, X ) }.
% 30.09/30.50 (58121) {G0,W13,D2,L3,V4,M3} { ! coll( T, Z, X ), ! perp( Y, T, Z, X ),
% 30.09/30.50 alpha1( X, Y, Z ) }.
% 30.09/30.50 (58122) {G0,W12,D3,L2,V4,M2} { ! circle( Y, X, Z, T ), perp( skol12( X, Y
% 30.09/30.50 ), X, X, Y ) }.
% 30.09/30.50 (58123) {G0,W28,D3,L5,V8,M5} { ! circle( W, X, Y, Z ), ! cong( W, X, W, T
% 30.09/30.50 ), ! cong( U, X, U, Y ), W = U, alpha2( X, Z, U, skol13( X, V0, Z, V1, U
% 30.09/30.50 ) ) }.
% 30.09/30.50 (58124) {G0,W26,D3,L5,V8,M5} { ! circle( W, X, Y, Z ), ! cong( W, X, W, T
% 30.09/30.50 ), ! cong( U, X, U, Y ), W = U, coll( skol21( V0, Y, T, V1 ), Y, T ) }.
% 30.09/30.50 (58125) {G0,W27,D3,L5,V6,M5} { ! circle( W, X, Y, Z ), ! cong( W, X, W, T
% 30.09/30.50 ), ! cong( U, X, U, Y ), W = U, cong( skol21( X, Y, T, U ), U, U, X )
% 30.09/30.50 }.
% 30.09/30.50 (58126) {G0,W9,D2,L2,V4,M2} { ! alpha2( X, Y, Z, T ), coll( T, X, Y ) }.
% 30.09/30.50 (58127) {G0,W10,D2,L2,V4,M2} { ! alpha2( X, Y, Z, T ), cong( T, Z, Z, X )
% 30.09/30.50 }.
% 30.09/30.50 (58128) {G0,W14,D2,L3,V4,M3} { ! coll( T, X, Y ), ! cong( T, Z, Z, X ),
% 30.09/30.50 alpha2( X, Y, Z, T ) }.
% 30.09/30.50 (58129) {G0,W22,D3,L4,V5,M4} { ! cyclic( X, Y, Z, T ), ! para( X, Y, Z, T
% 30.09/30.50 ), ! midp( U, X, Y ), circle( skol14( X, Y, Z ), X, Y, Z ) }.
% 30.09/30.50 (58130) {G0,W18,D3,L3,V4,M3} { ! perp( X, Z, Z, Y ), ! cyclic( X, Y, Z, T
% 30.09/30.50 ), circle( skol15( X, Y, Z ), X, Y, Z ) }.
% 30.09/30.50 (58131) {G0,W16,D3,L3,V6,M3} { ! perp( X, U, U, T ), ! coll( T, Y, Z ),
% 30.09/30.50 coll( skol16( W, Y, Z ), Y, Z ) }.
% 30.09/30.50 (58132) {G0,W17,D3,L3,V5,M3} { ! perp( X, U, U, T ), ! coll( T, Y, Z ),
% 30.09/30.50 perp( skol16( X, Y, Z ), X, Y, Z ) }.
% 30.09/30.50 (58133) {G0,W20,D3,L4,V5,M4} { ! perp( X, Z, X, Y ), ! perp( Y, X, Y, T )
% 30.09/30.50 , ! midp( U, Z, T ), midp( skol17( X, Y ), X, Y ) }.
% 30.09/30.50 (58134) {G0,W16,D3,L3,V3,M3} { ! cong( Y, X, Y, Z ), ! perp( X, Y, Y, Z )
% 30.09/30.50 , coll( X, Y, skol18( X, Y ) ) }.
% 30.09/30.50 (58135) {G0,W17,D3,L3,V3,M3} { ! cong( Y, X, Y, Z ), ! perp( X, Y, Y, Z )
% 30.09/30.50 , cong( Y, X, Y, skol18( X, Y ) ) }.
% 30.09/30.50 (58136) {G0,W25,D3,L5,V8,M5} { ! para( U, W, X, Y ), ! coll( Z, U, X ), !
% 30.09/30.50 coll( Z, W, Y ), ! coll( T, U, W ), coll( Z, T, skol19( V0, V1, Z, T ) )
% 30.09/30.50 }.
% 30.09/30.50 (58137) {G0,W25,D3,L5,V6,M5} { ! para( U, W, X, Y ), ! coll( Z, U, X ), !
% 30.09/30.50 coll( Z, W, Y ), ! coll( T, U, W ), coll( skol19( X, Y, Z, T ), X, Y )
% 30.09/30.50 }.
% 30.09/30.50 (58138) {G0,W5,D2,L1,V0,M1} { circle( skol27, skol26, skol20, skol22 ) }.
% 30.09/30.50 (58139) {G0,W5,D2,L1,V0,M1} { circle( skol27, skol26, skol23, skol28 ) }.
% 30.09/30.50 (58140) {G0,W5,D2,L1,V0,M1} { perp( skol24, skol23, skol26, skol22 ) }.
% 30.09/30.50 (58141) {G0,W4,D2,L1,V0,M1} { coll( skol24, skol26, skol22 ) }.
% 30.09/30.50 (58142) {G0,W5,D2,L1,V0,M1} { perp( skol25, skol23, skol26, skol20 ) }.
% 30.09/30.50 (58143) {G0,W4,D2,L1,V0,M1} { coll( skol25, skol26, skol20 ) }.
% 30.09/30.50 (58144) {G0,W24,D2,L3,V0,M3} { alpha3( skol20, skol22, skol23, skol24,
% 30.09/30.50 skol25 ), ! eqangle( skol23, skol24, skol24, skol25, skol22, skol23,
% 30.09/30.50 skol23, skol20 ), ! eqangle( skol23, skol24, skol24, skol25, skol23,
% 30.09/30.50 skol22, skol22, skol20 ) }.
% 30.09/30.50 (58145) {G0,W24,D2,L3,V0,M3} { alpha3( skol20, skol22, skol23, skol24,
% 30.09/30.50 skol25 ), ! eqangle( skol24, skol23, skol23, skol25, skol23, skol20,
% 30.09/30.50 skol20, skol22 ), ! eqangle( skol23, skol24, skol24, skol25, skol23,
% 30.09/30.50 skol22, skol22, skol20 ) }.
% 30.09/30.50 (58146) {G0,W21,D2,L3,V5,M3} { ! alpha3( X, Y, Z, T, U ), alpha4( X, Y, Z
% 30.09/30.50 , T, U ), ! eqangle( Z, T, T, U, Z, X, X, Y ) }.
% 30.09/30.50 (58147) {G0,W21,D2,L3,V5,M3} { ! alpha3( X, Y, Z, T, U ), alpha4( X, Y, Z
% 30.09/30.50 , T, U ), ! eqangle( T, Z, Z, U, Z, X, X, Y ) }.
% 30.09/30.50 (58148) {G0,W12,D2,L2,V5,M2} { ! alpha4( X, Y, Z, T, U ), alpha3( X, Y, Z
% 30.09/30.50 , T, U ) }.
% 30.09/30.50 (58149) {G0,W24,D2,L3,V5,M3} { eqangle( Z, T, T, U, Z, X, X, Y ), eqangle
% 30.09/30.50 ( T, Z, Z, U, Z, X, X, Y ), alpha3( X, Y, Z, T, U ) }.
% 30.09/30.50 (58150) {G0,W21,D2,L3,V5,M3} { ! alpha4( X, Y, Z, T, U ), alpha5( X, Y, Z
% 30.09/30.50 , T, U ), ! eqangle( Z, T, T, U, Y, Z, Z, X ) }.
% 30.09/30.50 (58151) {G0,W21,D2,L3,V5,M3} { ! alpha4( X, Y, Z, T, U ), alpha5( X, Y, Z
% 30.09/30.50 , T, U ), ! eqangle( T, Z, Z, U, Z, Y, Y, X ) }.
% 30.09/30.50 (58152) {G0,W12,D2,L2,V5,M2} { ! alpha5( X, Y, Z, T, U ), alpha4( X, Y, Z
% 30.09/30.50 , T, U ) }.
% 30.09/30.50 (58153) {G0,W24,D2,L3,V5,M3} { eqangle( Z, T, T, U, Y, Z, Z, X ), eqangle
% 30.09/30.50 ( T, Z, Z, U, Z, Y, Y, X ), alpha4( X, Y, Z, T, U ) }.
% 30.09/30.50 (58154) {G0,W21,D2,L3,V5,M3} { ! alpha5( X, Y, Z, T, U ), alpha6( X, Y, Z
% 30.09/30.50 , T, U ), ! eqangle( Z, T, T, U, Z, X, X, Y ) }.
% 30.09/30.50 (58155) {G0,W21,D2,L3,V5,M3} { ! alpha5( X, Y, Z, T, U ), alpha6( X, Y, Z
% 30.09/30.50 , T, U ), ! eqangle( T, Z, Z, U, Z, Y, Y, X ) }.
% 30.09/30.50 (58156) {G0,W12,D2,L2,V5,M2} { ! alpha6( X, Y, Z, T, U ), alpha5( X, Y, Z
% 30.09/30.50 , T, U ) }.
% 30.09/30.50 (58157) {G0,W24,D2,L3,V5,M3} { eqangle( Z, T, T, U, Z, X, X, Y ), eqangle
% 30.09/30.50 ( T, Z, Z, U, Z, Y, Y, X ), alpha5( X, Y, Z, T, U ) }.
% 30.09/30.50 (58158) {G0,W24,D2,L3,V5,M3} { ! alpha6( X, Y, Z, T, U ), ! eqangle( T, Z
% 30.09/30.50 , Z, U, Y, Z, Z, X ), ! eqangle( Z, T, T, U, Z, Y, Y, X ) }.
% 30.09/30.50 (58159) {G0,W24,D2,L3,V5,M3} { ! alpha6( X, Y, Z, T, U ), ! eqangle( T, Z
% 30.09/30.50 , Z, U, Y, Z, Z, X ), ! eqangle( T, Z, Z, U, Y, Z, Z, X ) }.
% 30.09/30.50 (58160) {G0,W15,D2,L2,V5,M2} { eqangle( T, Z, Z, U, Y, Z, Z, X ), alpha6(
% 30.09/30.50 X, Y, Z, T, U ) }.
% 30.09/30.50 (58161) {G0,W24,D2,L3,V5,M3} { eqangle( Z, T, T, U, Z, Y, Y, X ), eqangle
% 30.09/30.50 ( T, Z, Z, U, Y, Z, Z, X ), alpha6( X, Y, Z, T, U ) }.
% 30.09/30.50
% 30.09/30.50
% 30.09/30.50 Total Proof:
% 30.09/30.50
% 30.09/30.50 subsumption: (0) {G0,W8,D2,L2,V3,M2} I { ! coll( X, Y, Z ), coll( X, Z, Y )
% 30.09/30.50 }.
% 30.09/30.50 parent0: (58021) {G0,W8,D2,L2,V3,M2} { ! coll( X, Y, Z ), coll( X, Z, Y )
% 30.09/30.50 }.
% 30.09/30.50 substitution0:
% 30.09/30.50 X := X
% 30.09/30.50 Y := Y
% 30.09/30.50 Z := Z
% 30.09/30.50 end
% 30.09/30.50 permutation0:
% 30.09/30.50 0 ==> 0
% 30.09/30.50 1 ==> 1
% 30.09/30.50 end
% 30.09/30.50
% 30.09/30.50 subsumption: (1) {G0,W8,D2,L2,V3,M2} I { ! coll( X, Y, Z ), coll( Y, X, Z )
% 30.09/30.50 }.
% 30.09/30.50 parent0: (58022) {G0,W8,D2,L2,V3,M2} { ! coll( X, Y, Z ), coll( Y, X, Z )
% 30.09/30.50 }.
% 30.09/30.50 substitution0:
% 30.09/30.50 X := X
% 30.09/30.50 Y := Y
% 30.09/30.50 Z := Z
% 30.09/30.50 end
% 30.09/30.50 permutation0:
% 30.09/30.50 0 ==> 0
% 30.09/30.50 1 ==> 1
% 30.09/30.50 end
% 30.09/30.50
% 30.09/30.50 subsumption: (2) {G0,W12,D2,L3,V4,M3} I { ! coll( X, T, Y ), ! coll( X, T,
% 30.09/30.50 Z ), coll( Y, Z, X ) }.
% 30.09/30.50 parent0: (58023) {G0,W12,D2,L3,V4,M3} { ! coll( X, T, Y ), ! coll( X, T, Z
% 30.09/30.50 ), coll( Y, Z, X ) }.
% 30.09/30.50 substitution0:
% 30.09/30.50 X := X
% 30.09/30.50 Y := Y
% 30.09/30.50 Z := Z
% 30.09/30.50 T := T
% 30.09/30.50 end
% 30.09/30.50 permutation0:
% 30.09/30.50 0 ==> 0
% 30.09/30.50 1 ==> 1
% 30.09/30.50 2 ==> 2
% 30.09/30.50 end
% 30.09/30.50
% 30.09/30.50 subsumption: (3) {G0,W10,D2,L2,V4,M2} I { ! para( X, Y, Z, T ), para( X, Y
% 30.09/30.50 , T, Z ) }.
% 30.09/30.50 parent0: (58024) {G0,W10,D2,L2,V4,M2} { ! para( X, Y, Z, T ), para( X, Y,
% 30.09/30.50 T, Z ) }.
% 30.09/30.50 substitution0:
% 30.09/30.50 X := X
% 30.09/30.50 Y := Y
% 30.09/30.50 Z := Z
% 30.09/30.50 T := T
% 30.09/30.50 end
% 30.09/30.50 permutation0:
% 30.09/30.50 0 ==> 0
% 30.09/30.50 1 ==> 1
% 30.09/30.50 end
% 30.09/30.50
% 30.09/30.50 subsumption: (6) {G0,W10,D2,L2,V4,M2} I { ! perp( X, Y, Z, T ), perp( X, Y
% 30.09/30.50 , T, Z ) }.
% 30.09/30.50 parent0: (58027) {G0,W10,D2,L2,V4,M2} { ! perp( X, Y, Z, T ), perp( X, Y,
% 30.09/30.50 T, Z ) }.
% 30.09/30.50 substitution0:
% 30.09/30.50 X := X
% 30.09/30.50 Y := Y
% 30.09/30.50 Z := Z
% 30.09/30.50 T := T
% 30.09/30.50 end
% 30.09/30.50 permutation0:
% 30.09/30.50 0 ==> 0
% 30.09/30.50 1 ==> 1
% 30.09/30.50 end
% 30.09/30.50
% 30.09/30.50 subsumption: (7) {G0,W10,D2,L2,V4,M2} I { ! perp( X, Y, Z, T ), perp( Z, T
% 30.09/30.50 , X, Y ) }.
% 30.09/30.50 parent0: (58028) {G0,W10,D2,L2,V4,M2} { ! perp( X, Y, Z, T ), perp( Z, T,
% 30.09/30.50 X, Y ) }.
% 30.09/30.50 substitution0:
% 30.09/30.50 X := X
% 30.09/30.50 Y := Y
% 30.09/30.50 Z := Z
% 30.09/30.50 T := T
% 30.09/30.50 end
% 30.09/30.50 permutation0:
% 30.09/30.50 0 ==> 0
% 30.09/30.50 1 ==> 1
% 30.09/30.50 end
% 30.09/30.50
% 30.09/30.50 subsumption: (8) {G0,W15,D2,L3,V6,M3} I { ! perp( X, Y, U, W ), ! perp( U,
% 30.09/30.50 W, Z, T ), para( X, Y, Z, T ) }.
% 30.09/30.50 parent0: (58029) {G0,W15,D2,L3,V6,M3} { ! perp( X, Y, U, W ), ! perp( U, W
% 30.09/30.50 , Z, T ), para( X, Y, Z, T ) }.
% 30.09/30.50 substitution0:
% 30.09/30.50 X := X
% 30.09/30.50 Y := Y
% 30.09/30.50 Z := Z
% 30.09/30.50 T := T
% 30.09/30.50 U := U
% 30.09/30.50 W := W
% 30.09/30.50 end
% 30.09/30.50 permutation0:
% 30.09/30.50 0 ==> 0
% 30.09/30.50 1 ==> 1
% 30.09/30.50 2 ==> 2
% 30.09/30.50 end
% 30.09/30.50
% 30.09/30.50 subsumption: (13) {G0,W10,D2,L2,V4,M2} I { ! cyclic( X, Y, Z, T ), cyclic(
% 30.09/30.50 X, Y, T, Z ) }.
% 30.09/30.50 parent0: (58034) {G0,W10,D2,L2,V4,M2} { ! cyclic( X, Y, Z, T ), cyclic( X
% 30.09/30.50 , Y, T, Z ) }.
% 30.09/30.50 substitution0:
% 30.09/30.50 X := X
% 30.09/30.50 Y := Y
% 30.09/30.50 Z := Z
% 30.09/30.50 T := T
% 30.09/30.50 end
% 30.09/30.50 permutation0:
% 30.09/30.50 0 ==> 0
% 30.09/30.50 1 ==> 1
% 30.09/30.50 end
% 30.09/30.50
% 30.09/30.50 subsumption: (14) {G0,W10,D2,L2,V4,M2} I { ! cyclic( X, Y, Z, T ), cyclic(
% 30.09/30.50 X, Z, Y, T ) }.
% 30.09/30.50 parent0: (58035) {G0,W10,D2,L2,V4,M2} { ! cyclic( X, Y, Z, T ), cyclic( X
% 30.09/30.50 , Z, Y, T ) }.
% 30.09/30.50 substitution0:
% 30.09/30.50 X := X
% 30.09/30.50 Y := Y
% 30.09/30.50 Z := Z
% 30.09/30.50 T := T
% 30.09/30.50 end
% 30.09/30.50 permutation0:
% 30.09/30.50 0 ==> 0
% 30.09/30.50 1 ==> 1
% 30.09/30.50 end
% 30.09/30.50
% 30.09/30.50 subsumption: (15) {G0,W10,D2,L2,V4,M2} I { ! cyclic( X, Y, Z, T ), cyclic(
% 30.09/30.50 Y, X, Z, T ) }.
% 30.09/30.50 parent0: (58036) {G0,W10,D2,L2,V4,M2} { ! cyclic( X, Y, Z, T ), cyclic( Y
% 30.09/30.50 , X, Z, T ) }.
% 30.09/30.50 substitution0:
% 30.09/30.50 X := X
% 30.09/30.50 Y := Y
% 30.09/30.50 Z := Z
% 30.09/30.50 T := T
% 30.09/30.50 end
% 30.09/30.50 permutation0:
% 30.09/30.50 0 ==> 0
% 30.09/30.50 1 ==> 1
% 30.09/30.50 end
% 30.09/30.50
% 30.09/30.50 subsumption: (16) {G0,W15,D2,L3,V5,M3} I { ! cyclic( U, X, Y, Z ), ! cyclic
% 30.09/30.50 ( U, X, Y, T ), cyclic( X, Y, Z, T ) }.
% 30.09/30.50 parent0: (58037) {G0,W15,D2,L3,V5,M3} { ! cyclic( U, X, Y, Z ), ! cyclic(
% 30.09/30.50 U, X, Y, T ), cyclic( X, Y, Z, T ) }.
% 30.09/30.50 substitution0:
% 30.09/30.50 X := X
% 30.09/30.50 Y := Y
% 30.09/30.50 Z := Z
% 30.09/30.50 T := T
% 30.09/30.50 U := U
% 30.09/30.50 end
% 30.09/30.50 permutation0:
% 30.09/30.50 0 ==> 0
% 30.09/30.50 1 ==> 1
% 30.09/30.50 2 ==> 2
% 30.09/30.50 end
% 30.09/30.50
% 30.09/30.50 subsumption: (17) {G0,W18,D2,L2,V8,M2} I { ! eqangle( X, Y, Z, T, U, W, V0
% 30.09/30.50 , V1 ), eqangle( Y, X, Z, T, U, W, V0, V1 ) }.
% 30.09/30.50 parent0: (58038) {G0,W18,D2,L2,V8,M2} { ! eqangle( X, Y, Z, T, U, W, V0,
% 30.09/30.50 V1 ), eqangle( Y, X, Z, T, U, W, V0, V1 ) }.
% 30.09/30.50 substitution0:
% 30.09/30.50 X := X
% 30.09/30.50 Y := Y
% 30.09/30.50 Z := Z
% 30.09/30.50 T := T
% 30.09/30.50 U := U
% 30.09/30.50 W := W
% 30.09/30.50 V0 := V0
% 30.09/30.50 V1 := V1
% 30.09/30.50 end
% 30.09/30.50 permutation0:
% 30.09/30.50 0 ==> 0
% 30.09/30.50 1 ==> 1
% 30.09/30.50 end
% 30.09/30.50
% 30.09/30.50 subsumption: (18) {G0,W18,D2,L2,V8,M2} I { ! eqangle( X, Y, Z, T, U, W, V0
% 30.09/30.50 , V1 ), eqangle( Z, T, X, Y, V0, V1, U, W ) }.
% 30.09/30.50 parent0: (58039) {G0,W18,D2,L2,V8,M2} { ! eqangle( X, Y, Z, T, U, W, V0,
% 30.09/30.50 V1 ), eqangle( Z, T, X, Y, V0, V1, U, W ) }.
% 30.09/30.50 substitution0:
% 30.09/30.50 X := X
% 30.09/30.50 Y := Y
% 30.09/30.50 Z := Z
% 30.09/30.50 T := T
% 30.09/30.50 U := U
% 30.09/30.50 W := W
% 30.09/30.50 V0 := V0
% 30.09/30.50 V1 := V1
% 30.09/30.50 end
% 30.09/30.50 permutation0:
% 30.09/30.50 0 ==> 0
% 30.09/30.50 1 ==> 1
% 30.09/30.50 end
% 30.09/30.50
% 30.09/30.50 subsumption: (19) {G0,W18,D2,L2,V8,M2} I { ! eqangle( X, Y, Z, T, U, W, V0
% 30.09/30.50 , V1 ), eqangle( U, W, V0, V1, X, Y, Z, T ) }.
% 30.09/30.50 parent0: (58040) {G0,W18,D2,L2,V8,M2} { ! eqangle( X, Y, Z, T, U, W, V0,
% 30.09/30.50 V1 ), eqangle( U, W, V0, V1, X, Y, Z, T ) }.
% 30.09/30.50 substitution0:
% 30.09/30.50 X := X
% 30.09/30.50 Y := Y
% 30.09/30.50 Z := Z
% 30.09/30.50 T := T
% 30.09/30.50 U := U
% 30.09/30.50 W := W
% 30.09/30.50 V0 := V0
% 30.09/30.50 V1 := V1
% 30.09/30.50 end
% 30.09/30.50 permutation0:
% 30.09/30.50 0 ==> 0
% 30.09/30.50 1 ==> 1
% 30.09/30.50 end
% 30.09/30.50
% 30.09/30.50 subsumption: (20) {G0,W18,D2,L2,V8,M2} I { ! eqangle( X, Y, Z, T, U, W, V0
% 30.09/30.50 , V1 ), eqangle( X, Y, U, W, Z, T, V0, V1 ) }.
% 30.09/30.50 parent0: (58041) {G0,W18,D2,L2,V8,M2} { ! eqangle( X, Y, Z, T, U, W, V0,
% 30.09/30.50 V1 ), eqangle( X, Y, U, W, Z, T, V0, V1 ) }.
% 30.09/30.50 substitution0:
% 30.09/30.50 X := X
% 30.09/30.50 Y := Y
% 30.09/30.50 Z := Z
% 30.09/30.50 T := T
% 30.09/30.50 U := U
% 30.09/30.50 W := W
% 30.09/30.50 V0 := V0
% 30.09/30.50 V1 := V1
% 30.09/30.50 end
% 30.09/30.50 permutation0:
% 30.09/30.50 0 ==> 0
% 30.09/30.50 1 ==> 1
% 30.09/30.50 end
% 30.09/30.50
% 30.09/30.50 subsumption: (21) {G0,W27,D2,L3,V12,M3} I { ! eqangle( X, Y, Z, T, V2, V3,
% 30.09/30.50 V4, V5 ), ! eqangle( V2, V3, V4, V5, U, W, V0, V1 ), eqangle( X, Y, Z, T
% 30.09/30.50 , U, W, V0, V1 ) }.
% 30.09/30.50 parent0: (58042) {G0,W27,D2,L3,V12,M3} { ! eqangle( X, Y, Z, T, V2, V3, V4
% 30.09/30.50 , V5 ), ! eqangle( V2, V3, V4, V5, U, W, V0, V1 ), eqangle( X, Y, Z, T, U
% 30.09/30.50 , W, V0, V1 ) }.
% 30.09/30.50 substitution0:
% 30.09/30.50 X := X
% 30.09/30.50 Y := Y
% 30.09/30.50 Z := Z
% 30.09/30.50 T := T
% 30.09/30.50 U := U
% 30.09/30.50 W := W
% 30.09/30.50 V0 := V0
% 30.09/30.50 V1 := V1
% 30.09/30.50 V2 := V2
% 30.09/30.50 V3 := V3
% 30.09/30.50 V4 := V4
% 30.09/30.50 V5 := V5
% 30.09/30.50 end
% 30.09/30.50 permutation0:
% 30.09/30.51 0 ==> 0
% 30.09/30.51 1 ==> 1
% 30.09/30.51 2 ==> 2
% 30.09/30.51 end
% 30.09/30.51
% 30.09/30.51 subsumption: (39) {G0,W14,D2,L2,V6,M2} I { ! para( X, Y, Z, T ), eqangle( X
% 30.09/30.51 , Y, U, W, Z, T, U, W ) }.
% 30.09/30.51 parent0: (58060) {G0,W14,D2,L2,V6,M2} { ! para( X, Y, Z, T ), eqangle( X,
% 30.09/30.51 Y, U, W, Z, T, U, W ) }.
% 30.09/30.51 substitution0:
% 30.09/30.51 X := X
% 30.09/30.51 Y := Y
% 30.09/30.51 Z := Z
% 30.09/30.51 T := T
% 30.09/30.51 U := U
% 30.09/30.51 W := W
% 30.09/30.51 end
% 30.09/30.51 permutation0:
% 30.09/30.51 0 ==> 0
% 30.09/30.51 1 ==> 1
% 30.09/30.51 end
% 30.09/30.51
% 30.09/30.51 subsumption: (40) {G0,W14,D2,L2,V4,M2} I { ! cyclic( X, Y, Z, T ), eqangle
% 30.09/30.51 ( Z, X, Z, Y, T, X, T, Y ) }.
% 30.09/30.51 parent0: (58061) {G0,W14,D2,L2,V4,M2} { ! cyclic( X, Y, Z, T ), eqangle( Z
% 30.09/30.51 , X, Z, Y, T, X, T, Y ) }.
% 30.09/30.51 substitution0:
% 30.09/30.51 X := X
% 30.09/30.51 Y := Y
% 30.09/30.51 Z := Z
% 30.09/30.51 T := T
% 30.09/30.51 end
% 30.09/30.51 permutation0:
% 30.09/30.51 0 ==> 0
% 30.09/30.51 1 ==> 1
% 30.09/30.51 end
% 30.09/30.51
% 30.09/30.51 subsumption: (42) {G0,W18,D2,L3,V4,M3} I { ! eqangle( Z, X, Z, Y, T, X, T,
% 30.09/30.51 Y ), ! coll( Z, T, Y ), cyclic( X, Y, Z, T ) }.
% 30.09/30.51 parent0: (58063) {G0,W18,D2,L3,V4,M3} { ! eqangle( Z, X, Z, Y, T, X, T, Y
% 30.09/30.51 ), ! coll( Z, T, Y ), cyclic( X, Y, Z, T ) }.
% 30.09/30.51 substitution0:
% 30.09/30.51 X := X
% 30.09/30.51 Y := Y
% 30.09/30.51 Z := Z
% 30.09/30.51 T := T
% 30.09/30.51 end
% 30.09/30.51 permutation0:
% 30.09/30.51 0 ==> 0
% 30.09/30.51 1 ==> 1
% 30.09/30.51 2 ==> 2
% 30.09/30.51 end
% 30.09/30.51
% 30.09/30.51 subsumption: (43) {G0,W29,D2,L5,V6,M5} I { ! cyclic( X, Y, U, Z ), ! cyclic
% 30.09/30.51 ( X, Y, U, T ), ! cyclic( X, Y, U, W ), ! eqangle( U, X, U, Y, W, Z, W, T
% 30.09/30.51 ), cong( X, Y, Z, T ) }.
% 30.09/30.51 parent0: (58064) {G0,W29,D2,L5,V6,M5} { ! cyclic( X, Y, U, Z ), ! cyclic(
% 30.09/30.51 X, Y, U, T ), ! cyclic( X, Y, U, W ), ! eqangle( U, X, U, Y, W, Z, W, T )
% 30.09/30.51 , cong( X, Y, Z, T ) }.
% 30.09/30.51 substitution0:
% 30.09/30.51 X := X
% 30.09/30.51 Y := Y
% 30.09/30.51 Z := Z
% 30.09/30.51 T := T
% 30.09/30.51 U := U
% 30.09/30.51 W := W
% 30.09/30.51 end
% 30.09/30.51 permutation0:
% 30.09/30.51 0 ==> 0
% 30.09/30.51 1 ==> 1
% 30.09/30.51 2 ==> 2
% 30.09/30.51 3 ==> 3
% 30.09/30.51 4 ==> 4
% 30.09/30.51 end
% 30.09/30.51
% 30.09/30.51 subsumption: (56) {G0,W15,D2,L3,V4,M3} I { ! cong( X, Z, Y, Z ), ! cong( X
% 30.09/30.51 , T, Y, T ), perp( X, Y, Z, T ) }.
% 30.09/30.51 parent0: (58077) {G0,W15,D2,L3,V4,M3} { ! cong( X, Z, Y, Z ), ! cong( X, T
% 30.09/30.51 , Y, T ), perp( X, Y, Z, T ) }.
% 30.09/30.51 substitution0:
% 30.09/30.51 X := X
% 30.09/30.51 Y := Y
% 30.09/30.51 Z := Z
% 30.09/30.51 T := T
% 30.09/30.51 end
% 30.09/30.51 permutation0:
% 30.09/30.51 0 ==> 0
% 30.09/30.51 1 ==> 1
% 30.09/30.51 2 ==> 2
% 30.09/30.51 end
% 30.09/30.51
% 30.09/30.51 subsumption: (66) {G0,W9,D2,L2,V3,M2} I { ! para( X, Y, X, Z ), coll( X, Y
% 30.09/30.51 , Z ) }.
% 30.09/30.51 parent0: (58087) {G0,W9,D2,L2,V3,M2} { ! para( X, Y, X, Z ), coll( X, Y, Z
% 30.09/30.51 ) }.
% 30.09/30.51 substitution0:
% 30.09/30.51 X := X
% 30.09/30.51 Y := Y
% 30.09/30.51 Z := Z
% 30.09/30.51 end
% 30.09/30.51 permutation0:
% 30.09/30.51 0 ==> 0
% 30.09/30.51 1 ==> 1
% 30.09/30.51 end
% 30.09/30.51
% 30.09/30.51 subsumption: (118) {G0,W5,D2,L1,V0,M1} I { perp( skol24, skol23, skol26,
% 30.09/30.51 skol22 ) }.
% 30.09/30.51 parent0: (58140) {G0,W5,D2,L1,V0,M1} { perp( skol24, skol23, skol26,
% 30.09/30.51 skol22 ) }.
% 30.09/30.51 substitution0:
% 30.09/30.51 end
% 30.09/30.51 permutation0:
% 30.09/30.51 0 ==> 0
% 30.09/30.51 end
% 30.09/30.51
% 30.09/30.51 subsumption: (119) {G0,W4,D2,L1,V0,M1} I { coll( skol24, skol26, skol22 )
% 30.09/30.51 }.
% 30.09/30.51 parent0: (58141) {G0,W4,D2,L1,V0,M1} { coll( skol24, skol26, skol22 ) }.
% 30.09/30.51 substitution0:
% 30.09/30.51 end
% 30.09/30.51 permutation0:
% 30.09/30.51 0 ==> 0
% 30.09/30.51 end
% 30.09/30.51
% 30.09/30.51 subsumption: (120) {G0,W5,D2,L1,V0,M1} I { perp( skol25, skol23, skol26,
% 30.09/30.51 skol20 ) }.
% 30.09/30.51 parent0: (58142) {G0,W5,D2,L1,V0,M1} { perp( skol25, skol23, skol26,
% 30.09/30.51 skol20 ) }.
% 30.09/30.51 substitution0:
% 30.09/30.51 end
% 30.09/30.51 permutation0:
% 30.09/30.51 0 ==> 0
% 30.09/30.51 end
% 30.09/30.51
% 30.09/30.51 subsumption: (121) {G0,W4,D2,L1,V0,M1} I { coll( skol25, skol26, skol20 )
% 30.09/30.51 }.
% 30.09/30.51 parent0: (58143) {G0,W4,D2,L1,V0,M1} { coll( skol25, skol26, skol20 ) }.
% 30.09/30.51 substitution0:
% 30.09/30.51 end
% 30.09/30.51 permutation0:
% 30.09/30.51 0 ==> 0
% 30.09/30.51 end
% 30.09/30.51
% 30.09/30.51 subsumption: (123) {G0,W24,D2,L3,V0,M3} I { alpha3( skol20, skol22, skol23
% 30.09/30.51 , skol24, skol25 ), ! eqangle( skol24, skol23, skol23, skol25, skol23,
% 30.09/30.51 skol20, skol20, skol22 ), ! eqangle( skol23, skol24, skol24, skol25,
% 30.09/30.51 skol23, skol22, skol22, skol20 ) }.
% 30.09/30.51 parent0: (58145) {G0,W24,D2,L3,V0,M3} { alpha3( skol20, skol22, skol23,
% 30.09/30.51 skol24, skol25 ), ! eqangle( skol24, skol23, skol23, skol25, skol23,
% 30.09/30.51 skol20, skol20, skol22 ), ! eqangle( skol23, skol24, skol24, skol25,
% 30.09/30.51 skol23, skol22, skol22, skol20 ) }.
% 30.09/30.51 substitution0:
% 30.09/30.51 end
% 30.09/30.51 permutation0:
% 30.09/30.51 0 ==> 0
% 30.09/30.51 1 ==> 1
% 30.09/30.51 2 ==> 2
% 30.09/30.51 end
% 30.09/30.51
% 30.09/30.51 subsumption: (125) {G0,W21,D2,L3,V5,M3} I { ! alpha3( X, Y, Z, T, U ),
% 30.09/30.51 alpha4( X, Y, Z, T, U ), ! eqangle( T, Z, Z, U, Z, X, X, Y ) }.
% 30.09/30.51 parent0: (58147) {G0,W21,D2,L3,V5,M3} { ! alpha3( X, Y, Z, T, U ), alpha4
% 30.09/30.51 ( X, Y, Z, T, U ), ! eqangle( T, Z, Z, U, Z, X, X, Y ) }.
% 30.09/30.51 substitution0:
% 30.09/30.51 X := X
% 30.09/30.51 Y := Y
% 30.09/30.51 Z := Z
% 30.09/30.51 T := T
% 30.09/30.51 U := U
% 30.09/30.51 end
% 30.09/30.51 permutation0:
% 30.09/30.51 0 ==> 0
% 30.09/30.51 1 ==> 1
% 30.09/30.51 2 ==> 2
% 30.09/30.51 end
% 30.09/30.51
% 30.09/30.51 subsumption: (129) {G0,W21,D2,L3,V5,M3} I { ! alpha4( X, Y, Z, T, U ),
% 30.09/30.51 alpha5( X, Y, Z, T, U ), ! eqangle( T, Z, Z, U, Z, Y, Y, X ) }.
% 30.09/30.51 parent0: (58151) {G0,W21,D2,L3,V5,M3} { ! alpha4( X, Y, Z, T, U ), alpha5
% 30.09/30.51 ( X, Y, Z, T, U ), ! eqangle( T, Z, Z, U, Z, Y, Y, X ) }.
% 30.09/30.51 substitution0:
% 30.09/30.51 X := X
% 30.09/30.51 Y := Y
% 30.09/30.51 Z := Z
% 30.09/30.51 T := T
% 30.09/30.51 U := U
% 30.09/30.51 end
% 30.09/30.51 permutation0:
% 30.09/30.51 0 ==> 0
% 30.09/30.51 1 ==> 1
% 30.09/30.51 2 ==> 2
% 30.09/30.51 end
% 30.09/30.51
% 30.09/30.51 subsumption: (133) {G0,W21,D2,L3,V5,M3} I { ! alpha5( X, Y, Z, T, U ),
% 30.09/30.51 alpha6( X, Y, Z, T, U ), ! eqangle( T, Z, Z, U, Z, Y, Y, X ) }.
% 30.09/30.51 parent0: (58155) {G0,W21,D2,L3,V5,M3} { ! alpha5( X, Y, Z, T, U ), alpha6
% 30.09/30.51 ( X, Y, Z, T, U ), ! eqangle( T, Z, Z, U, Z, Y, Y, X ) }.
% 30.09/30.51 substitution0:
% 30.09/30.51 X := X
% 30.09/30.51 Y := Y
% 30.09/30.51 Z := Z
% 30.09/30.51 T := T
% 30.09/30.51 U := U
% 30.09/30.51 end
% 30.09/30.51 permutation0:
% 30.09/30.51 0 ==> 0
% 30.09/30.51 1 ==> 1
% 30.09/30.51 2 ==> 2
% 30.09/30.51 end
% 30.09/30.51
% 30.09/30.51 factor: (58830) {G0,W15,D2,L2,V5,M2} { ! alpha6( X, Y, Z, T, U ), !
% 30.09/30.51 eqangle( T, Z, Z, U, Y, Z, Z, X ) }.
% 30.09/30.51 parent0[1, 2]: (58159) {G0,W24,D2,L3,V5,M3} { ! alpha6( X, Y, Z, T, U ), !
% 30.09/30.51 eqangle( T, Z, Z, U, Y, Z, Z, X ), ! eqangle( T, Z, Z, U, Y, Z, Z, X )
% 30.09/30.51 }.
% 30.09/30.51 substitution0:
% 30.09/30.51 X := X
% 30.09/30.51 Y := Y
% 30.09/30.51 Z := Z
% 30.09/30.51 T := T
% 30.09/30.51 U := U
% 30.09/30.51 end
% 30.09/30.51
% 30.09/30.51 subsumption: (137) {G0,W15,D2,L2,V5,M2} I;f { ! alpha6( X, Y, Z, T, U ), !
% 30.09/30.51 eqangle( T, Z, Z, U, Y, Z, Z, X ) }.
% 30.09/30.51 parent0: (58830) {G0,W15,D2,L2,V5,M2} { ! alpha6( X, Y, Z, T, U ), !
% 30.09/30.51 eqangle( T, Z, Z, U, Y, Z, Z, X ) }.
% 30.09/30.51 substitution0:
% 30.09/30.51 X := X
% 30.09/30.51 Y := Y
% 30.09/30.51 Z := Z
% 30.09/30.51 T := T
% 30.09/30.51 U := U
% 30.09/30.51 end
% 30.09/30.51 permutation0:
% 30.09/30.51 0 ==> 0
% 30.09/30.51 1 ==> 1
% 30.09/30.51 end
% 30.09/30.51
% 30.09/30.51 factor: (58831) {G0,W8,D2,L2,V3,M2} { ! coll( X, Y, Z ), coll( Z, Z, X )
% 30.09/30.51 }.
% 30.09/30.51 parent0[0, 1]: (2) {G0,W12,D2,L3,V4,M3} I { ! coll( X, T, Y ), ! coll( X, T
% 30.09/30.51 , Z ), coll( Y, Z, X ) }.
% 30.09/30.51 substitution0:
% 30.09/30.51 X := X
% 30.09/30.51 Y := Z
% 30.09/30.51 Z := Z
% 30.09/30.51 T := Y
% 30.09/30.51 end
% 30.09/30.51
% 30.09/30.51 subsumption: (139) {G1,W8,D2,L2,V3,M2} F(2) { ! coll( X, Y, Z ), coll( Z, Z
% 30.09/30.51 , X ) }.
% 30.09/30.51 parent0: (58831) {G0,W8,D2,L2,V3,M2} { ! coll( X, Y, Z ), coll( Z, Z, X )
% 30.09/30.51 }.
% 30.09/30.51 substitution0:
% 30.09/30.51 X := X
% 30.09/30.51 Y := Y
% 30.09/30.51 Z := Z
% 30.09/30.51 end
% 30.09/30.51 permutation0:
% 30.09/30.51 0 ==> 0
% 30.09/30.51 1 ==> 1
% 30.09/30.51 end
% 30.09/30.51
% 30.09/30.51 resolution: (58832) {G1,W4,D2,L1,V0,M1} { coll( skol24, skol22, skol26 )
% 30.09/30.51 }.
% 30.09/30.51 parent0[0]: (0) {G0,W8,D2,L2,V3,M2} I { ! coll( X, Y, Z ), coll( X, Z, Y )
% 30.09/30.51 }.
% 30.09/30.51 parent1[0]: (119) {G0,W4,D2,L1,V0,M1} I { coll( skol24, skol26, skol22 )
% 30.09/30.51 }.
% 30.09/30.51 substitution0:
% 30.09/30.51 X := skol24
% 30.09/30.51 Y := skol26
% 30.09/30.51 Z := skol22
% 30.09/30.51 end
% 30.09/30.51 substitution1:
% 30.09/30.51 end
% 30.09/30.51
% 30.09/30.51 subsumption: (179) {G1,W4,D2,L1,V0,M1} R(0,119) { coll( skol24, skol22,
% 30.09/30.51 skol26 ) }.
% 30.09/30.51 parent0: (58832) {G1,W4,D2,L1,V0,M1} { coll( skol24, skol22, skol26 ) }.
% 30.09/30.51 substitution0:
% 30.09/30.51 end
% 30.09/30.51 permutation0:
% 30.09/30.51 0 ==> 0
% 30.09/30.51 end
% 30.09/30.51
% 30.09/30.51 resolution: (58833) {G1,W4,D2,L1,V0,M1} { coll( skol25, skol20, skol26 )
% 30.09/30.51 }.
% 30.09/30.51 parent0[0]: (0) {G0,W8,D2,L2,V3,M2} I { ! coll( X, Y, Z ), coll( X, Z, Y )
% 30.09/30.51 }.
% 30.09/30.51 parent1[0]: (121) {G0,W4,D2,L1,V0,M1} I { coll( skol25, skol26, skol20 )
% 30.09/30.51 }.
% 30.09/30.51 substitution0:
% 30.09/30.51 X := skol25
% 30.09/30.51 Y := skol26
% 30.09/30.51 Z := skol20
% 30.09/30.51 end
% 30.09/30.51 substitution1:
% 30.09/30.51 end
% 30.09/30.51
% 30.09/30.51 subsumption: (180) {G1,W4,D2,L1,V0,M1} R(0,121) { coll( skol25, skol20,
% 30.09/30.51 skol26 ) }.
% 30.09/30.51 parent0: (58833) {G1,W4,D2,L1,V0,M1} { coll( skol25, skol20, skol26 ) }.
% 30.09/30.51 substitution0:
% 30.09/30.51 end
% 30.09/30.51 permutation0:
% 30.09/30.51 0 ==> 0
% 30.09/30.51 end
% 30.09/30.51
% 30.09/30.51 resolution: (58834) {G1,W4,D2,L1,V0,M1} { coll( skol20, skol25, skol26 )
% 30.09/30.51 }.
% 30.09/30.51 parent0[0]: (1) {G0,W8,D2,L2,V3,M2} I { ! coll( X, Y, Z ), coll( Y, X, Z )
% 30.09/30.51 }.
% 30.09/30.51 parent1[0]: (180) {G1,W4,D2,L1,V0,M1} R(0,121) { coll( skol25, skol20,
% 30.09/30.51 skol26 ) }.
% 30.09/30.51 substitution0:
% 30.09/30.51 X := skol25
% 30.09/30.51 Y := skol20
% 30.09/30.51 Z := skol26
% 30.09/30.51 end
% 30.09/30.51 substitution1:
% 30.09/30.51 end
% 30.09/30.51
% 30.09/30.51 subsumption: (183) {G2,W4,D2,L1,V0,M1} R(1,180) { coll( skol20, skol25,
% 30.09/30.51 skol26 ) }.
% 30.09/30.51 parent0: (58834) {G1,W4,D2,L1,V0,M1} { coll( skol20, skol25, skol26 ) }.
% 30.09/30.51 substitution0:
% 30.09/30.51 end
% 30.09/30.51 permutation0:
% 30.09/30.51 0 ==> 0
% 30.09/30.51 end
% 30.09/30.51
% 30.09/30.51 resolution: (58835) {G1,W4,D2,L1,V0,M1} { coll( skol20, skol26, skol25 )
% 30.09/30.51 }.
% 30.09/30.51 parent0[0]: (0) {G0,W8,D2,L2,V3,M2} I { ! coll( X, Y, Z ), coll( X, Z, Y )
% 30.09/30.51 }.
% 30.09/30.51 parent1[0]: (183) {G2,W4,D2,L1,V0,M1} R(1,180) { coll( skol20, skol25,
% 30.09/30.51 skol26 ) }.
% 30.09/30.51 substitution0:
% 30.09/30.51 X := skol20
% 30.09/30.51 Y := skol25
% 30.09/30.51 Z := skol26
% 30.09/30.51 end
% 30.09/30.51 substitution1:
% 30.09/30.51 end
% 30.09/30.51
% 30.09/30.51 subsumption: (189) {G3,W4,D2,L1,V0,M1} R(183,0) { coll( skol20, skol26,
% 30.09/30.51 skol25 ) }.
% 30.09/30.51 parent0: (58835) {G1,W4,D2,L1,V0,M1} { coll( skol20, skol26, skol25 ) }.
% 30.09/30.51 substitution0:
% 30.09/30.51 end
% 30.09/30.51 permutation0:
% 30.09/30.51 0 ==> 0
% 30.09/30.51 end
% 30.09/30.51
% 30.09/30.51 resolution: (58836) {G1,W4,D2,L1,V0,M1} { coll( skol26, skol20, skol25 )
% 30.09/30.51 }.
% 30.09/30.51 parent0[0]: (1) {G0,W8,D2,L2,V3,M2} I { ! coll( X, Y, Z ), coll( Y, X, Z )
% 30.09/30.51 }.
% 30.09/30.51 parent1[0]: (189) {G3,W4,D2,L1,V0,M1} R(183,0) { coll( skol20, skol26,
% 30.09/30.51 skol25 ) }.
% 30.09/30.51 substitution0:
% 30.09/30.51 X := skol20
% 30.09/30.51 Y := skol26
% 30.09/30.51 Z := skol25
% 30.09/30.51 end
% 30.09/30.51 substitution1:
% 30.09/30.51 end
% 30.09/30.51
% 30.09/30.51 subsumption: (190) {G4,W4,D2,L1,V0,M1} R(189,1) { coll( skol26, skol20,
% 30.09/30.51 skol25 ) }.
% 30.09/30.51 parent0: (58836) {G1,W4,D2,L1,V0,M1} { coll( skol26, skol20, skol25 ) }.
% 30.09/30.51 substitution0:
% 30.09/30.51 end
% 30.09/30.51 permutation0:
% 30.09/30.51 0 ==> 0
% 30.09/30.51 end
% 30.09/30.51
% 30.09/30.51 resolution: (58840) {G1,W12,D2,L3,V4,M3} { coll( X, Z, Y ), ! coll( Z, T,
% 30.09/30.51 X ), ! coll( Z, T, Y ) }.
% 30.09/30.51 parent0[0]: (0) {G0,W8,D2,L2,V3,M2} I { ! coll( X, Y, Z ), coll( X, Z, Y )
% 30.09/30.51 }.
% 30.09/30.51 parent1[2]: (2) {G0,W12,D2,L3,V4,M3} I { ! coll( X, T, Y ), ! coll( X, T, Z
% 30.09/30.51 ), coll( Y, Z, X ) }.
% 30.09/30.51 substitution0:
% 30.09/30.51 X := X
% 30.09/30.51 Y := Y
% 30.09/30.51 Z := Z
% 30.09/30.51 end
% 30.09/30.51 substitution1:
% 30.09/30.51 X := Z
% 30.09/30.51 Y := X
% 30.09/30.51 Z := Y
% 30.09/30.51 T := T
% 30.09/30.51 end
% 30.09/30.51
% 30.09/30.51 subsumption: (212) {G1,W12,D2,L3,V4,M3} R(2,0) { ! coll( X, Y, Z ), ! coll
% 30.09/30.51 ( X, Y, T ), coll( Z, X, T ) }.
% 30.09/30.51 parent0: (58840) {G1,W12,D2,L3,V4,M3} { coll( X, Z, Y ), ! coll( Z, T, X )
% 30.09/30.51 , ! coll( Z, T, Y ) }.
% 30.09/30.51 substitution0:
% 30.09/30.51 X := Z
% 30.09/30.51 Y := T
% 30.09/30.51 Z := X
% 30.09/30.51 T := Y
% 30.09/30.51 end
% 30.09/30.51 permutation0:
% 30.09/30.51 0 ==> 2
% 30.09/30.51 1 ==> 0
% 30.09/30.51 2 ==> 1
% 30.09/30.51 end
% 30.09/30.51
% 30.09/30.51 factor: (58842) {G1,W8,D2,L2,V3,M2} { ! coll( X, Y, Z ), coll( Z, X, Z )
% 30.09/30.51 }.
% 30.09/30.51 parent0[0, 1]: (212) {G1,W12,D2,L3,V4,M3} R(2,0) { ! coll( X, Y, Z ), !
% 30.09/30.51 coll( X, Y, T ), coll( Z, X, T ) }.
% 30.09/30.51 substitution0:
% 30.09/30.51 X := X
% 30.09/30.51 Y := Y
% 30.09/30.51 Z := Z
% 30.09/30.51 T := Z
% 30.09/30.51 end
% 30.09/30.51
% 30.09/30.51 subsumption: (217) {G2,W8,D2,L2,V3,M2} F(212) { ! coll( X, Y, Z ), coll( Z
% 30.09/30.51 , X, Z ) }.
% 30.09/30.51 parent0: (58842) {G1,W8,D2,L2,V3,M2} { ! coll( X, Y, Z ), coll( Z, X, Z )
% 30.09/30.51 }.
% 30.09/30.51 substitution0:
% 30.09/30.51 X := X
% 30.09/30.51 Y := Y
% 30.09/30.51 Z := Z
% 30.09/30.51 end
% 30.09/30.51 permutation0:
% 30.09/30.51 0 ==> 0
% 30.09/30.51 1 ==> 1
% 30.09/30.51 end
% 30.09/30.51
% 30.09/30.51 resolution: (58843) {G1,W12,D2,L3,V4,M3} { coll( Z, X, Z ), ! coll( Z, T,
% 30.09/30.51 X ), ! coll( Z, T, Y ) }.
% 30.09/30.51 parent0[0]: (217) {G2,W8,D2,L2,V3,M2} F(212) { ! coll( X, Y, Z ), coll( Z,
% 30.09/30.51 X, Z ) }.
% 30.09/30.51 parent1[2]: (2) {G0,W12,D2,L3,V4,M3} I { ! coll( X, T, Y ), ! coll( X, T, Z
% 30.09/30.51 ), coll( Y, Z, X ) }.
% 30.09/30.51 substitution0:
% 30.09/30.51 X := X
% 30.09/30.51 Y := Y
% 30.09/30.51 Z := Z
% 30.09/30.51 end
% 30.09/30.51 substitution1:
% 30.09/30.51 X := Z
% 30.09/30.51 Y := X
% 30.09/30.51 Z := Y
% 30.09/30.51 T := T
% 30.09/30.51 end
% 30.09/30.51
% 30.09/30.51 subsumption: (234) {G3,W12,D2,L3,V4,M3} R(217,2) { coll( X, Y, X ), ! coll
% 30.09/30.51 ( X, Z, Y ), ! coll( X, Z, T ) }.
% 30.09/30.51 parent0: (58843) {G1,W12,D2,L3,V4,M3} { coll( Z, X, Z ), ! coll( Z, T, X )
% 30.09/30.51 , ! coll( Z, T, Y ) }.
% 30.09/30.51 substitution0:
% 30.09/30.51 X := Y
% 30.09/30.51 Y := Y
% 30.09/30.51 Z := X
% 30.09/30.51 T := Z
% 30.09/30.51 end
% 30.09/30.51 permutation0:
% 30.09/30.51 0 ==> 0
% 30.09/30.51 1 ==> 1
% 30.09/30.51 2 ==> 1
% 30.09/30.51 end
% 30.09/30.51
% 30.09/30.51 resolution: (58845) {G3,W4,D2,L1,V0,M1} { coll( skol25, skol26, skol25 )
% 30.09/30.51 }.
% 30.09/30.51 parent0[0]: (217) {G2,W8,D2,L2,V3,M2} F(212) { ! coll( X, Y, Z ), coll( Z,
% 30.09/30.51 X, Z ) }.
% 30.09/30.51 parent1[0]: (190) {G4,W4,D2,L1,V0,M1} R(189,1) { coll( skol26, skol20,
% 30.09/30.51 skol25 ) }.
% 30.09/30.51 substitution0:
% 30.09/30.51 X := skol26
% 30.09/30.51 Y := skol20
% 30.09/30.51 Z := skol25
% 30.09/30.51 end
% 30.09/30.51 substitution1:
% 30.09/30.51 end
% 30.09/30.51
% 30.09/30.51 subsumption: (237) {G5,W4,D2,L1,V0,M1} R(217,190) { coll( skol25, skol26,
% 30.09/30.51 skol25 ) }.
% 30.09/30.51 parent0: (58845) {G3,W4,D2,L1,V0,M1} { coll( skol25, skol26, skol25 ) }.
% 30.09/30.51 substitution0:
% 30.09/30.51 end
% 30.09/30.51 permutation0:
% 30.09/30.51 0 ==> 0
% 30.09/30.51 end
% 30.09/30.51
% 30.09/30.51 resolution: (58846) {G2,W4,D2,L1,V0,M1} { coll( skol26, skol24, skol26 )
% 30.09/30.51 }.
% 30.09/30.51 parent0[0]: (217) {G2,W8,D2,L2,V3,M2} F(212) { ! coll( X, Y, Z ), coll( Z,
% 30.09/30.51 X, Z ) }.
% 30.09/30.51 parent1[0]: (179) {G1,W4,D2,L1,V0,M1} R(0,119) { coll( skol24, skol22,
% 30.09/30.51 skol26 ) }.
% 30.09/30.51 substitution0:
% 30.09/30.51 X := skol24
% 30.09/30.51 Y := skol22
% 30.09/30.51 Z := skol26
% 30.09/30.51 end
% 30.09/30.51 substitution1:
% 30.09/30.51 end
% 30.09/30.51
% 30.09/30.51 subsumption: (244) {G3,W4,D2,L1,V0,M1} R(217,179) { coll( skol26, skol24,
% 30.09/30.51 skol26 ) }.
% 30.09/30.51 parent0: (58846) {G2,W4,D2,L1,V0,M1} { coll( skol26, skol24, skol26 ) }.
% 30.09/30.51 substitution0:
% 30.09/30.51 end
% 30.09/30.51 permutation0:
% 30.09/30.51 0 ==> 0
% 30.09/30.51 end
% 30.09/30.51
% 30.09/30.51 factor: (58847) {G3,W8,D2,L2,V3,M2} { coll( X, Y, X ), ! coll( X, Z, Y )
% 30.09/30.51 }.
% 30.09/30.51 parent0[1, 2]: (234) {G3,W12,D2,L3,V4,M3} R(217,2) { coll( X, Y, X ), !
% 30.09/30.51 coll( X, Z, Y ), ! coll( X, Z, T ) }.
% 30.09/30.51 substitution0:
% 30.09/30.51 X := X
% 30.09/30.51 Y := Y
% 30.09/30.51 Z := Z
% 30.09/30.51 T := Y
% 30.09/30.51 end
% 30.09/30.51
% 30.09/30.51 subsumption: (248) {G4,W8,D2,L2,V3,M2} F(234) { coll( X, Y, X ), ! coll( X
% 30.09/30.51 , Z, Y ) }.
% 30.09/30.51 parent0: (58847) {G3,W8,D2,L2,V3,M2} { coll( X, Y, X ), ! coll( X, Z, Y )
% 30.09/30.51 }.
% 30.09/30.51 substitution0:
% 30.09/30.51 X := X
% 30.09/30.51 Y := Y
% 30.09/30.51 Z := Z
% 30.09/30.51 end
% 30.09/30.51 permutation0:
% 30.09/30.51 0 ==> 0
% 30.09/30.51 1 ==> 1
% 30.09/30.51 end
% 30.09/30.51
% 30.09/30.51 resolution: (58848) {G1,W5,D2,L1,V0,M1} { perp( skol26, skol22, skol24,
% 30.09/30.51 skol23 ) }.
% 30.09/30.51 parent0[0]: (7) {G0,W10,D2,L2,V4,M2} I { ! perp( X, Y, Z, T ), perp( Z, T,
% 30.09/30.51 X, Y ) }.
% 30.09/30.51 parent1[0]: (118) {G0,W5,D2,L1,V0,M1} I { perp( skol24, skol23, skol26,
% 30.09/30.51 skol22 ) }.
% 30.09/30.51 substitution0:
% 30.09/30.51 X := skol24
% 30.09/30.51 Y := skol23
% 30.09/30.51 Z := skol26
% 30.09/30.51 T := skol22
% 30.09/30.51 end
% 30.09/30.51 substitution1:
% 30.09/30.51 end
% 30.09/30.51
% 30.09/30.51 subsumption: (290) {G1,W5,D2,L1,V0,M1} R(7,118) { perp( skol26, skol22,
% 30.09/30.51 skol24, skol23 ) }.
% 30.09/30.51 parent0: (58848) {G1,W5,D2,L1,V0,M1} { perp( skol26, skol22, skol24,
% 30.09/30.51 skol23 ) }.
% 30.09/30.51 substitution0:
% 30.09/30.51 end
% 30.09/30.51 permutation0:
% 30.09/30.51 0 ==> 0
% 30.09/30.51 end
% 30.09/30.51
% 30.09/30.51 resolution: (58849) {G1,W5,D2,L1,V0,M1} { perp( skol26, skol20, skol25,
% 30.09/30.51 skol23 ) }.
% 30.09/30.51 parent0[0]: (7) {G0,W10,D2,L2,V4,M2} I { ! perp( X, Y, Z, T ), perp( Z, T,
% 30.09/30.51 X, Y ) }.
% 30.09/30.51 parent1[0]: (120) {G0,W5,D2,L1,V0,M1} I { perp( skol25, skol23, skol26,
% 30.09/30.51 skol20 ) }.
% 30.09/30.51 substitution0:
% 30.09/30.51 X := skol25
% 30.09/30.51 Y := skol23
% 30.09/30.51 Z := skol26
% 30.09/30.51 T := skol20
% 30.09/30.51 end
% 30.09/30.51 substitution1:
% 30.09/30.51 end
% 30.09/30.51
% 30.09/30.51 subsumption: (291) {G1,W5,D2,L1,V0,M1} R(7,120) { perp( skol26, skol20,
% 30.09/30.51 skol25, skol23 ) }.
% 30.09/30.51 parent0: (58849) {G1,W5,D2,L1,V0,M1} { perp( skol26, skol20, skol25,
% 30.09/30.51 skol23 ) }.
% 30.09/30.51 substitution0:
% 30.09/30.51 end
% 30.09/30.51 permutation0:
% 30.09/30.51 0 ==> 0
% 30.09/30.51 end
% 30.09/30.51
% 30.09/30.51 resolution: (58850) {G1,W15,D2,L3,V6,M3} { ! perp( Z, T, U, W ), para( X,
% 30.09/30.51 Y, U, W ), ! perp( Z, T, X, Y ) }.
% 30.09/30.51 parent0[0]: (8) {G0,W15,D2,L3,V6,M3} I { ! perp( X, Y, U, W ), ! perp( U, W
% 30.09/30.51 , Z, T ), para( X, Y, Z, T ) }.
% 30.09/30.51 parent1[1]: (7) {G0,W10,D2,L2,V4,M2} I { ! perp( X, Y, Z, T ), perp( Z, T,
% 30.09/30.51 X, Y ) }.
% 30.09/30.51 substitution0:
% 30.09/30.51 X := X
% 30.09/30.51 Y := Y
% 30.09/30.51 Z := U
% 30.09/30.51 T := W
% 30.09/30.51 U := Z
% 30.09/30.51 W := T
% 30.09/30.51 end
% 30.09/30.51 substitution1:
% 30.09/30.51 X := Z
% 30.09/30.51 Y := T
% 30.09/30.51 Z := X
% 30.09/30.51 T := Y
% 30.09/30.51 end
% 30.09/30.51
% 30.09/30.51 subsumption: (299) {G1,W15,D2,L3,V6,M3} R(8,7) { ! perp( X, Y, Z, T ), para
% 30.09/30.51 ( U, W, Z, T ), ! perp( X, Y, U, W ) }.
% 30.09/30.51 parent0: (58850) {G1,W15,D2,L3,V6,M3} { ! perp( Z, T, U, W ), para( X, Y,
% 30.09/30.51 U, W ), ! perp( Z, T, X, Y ) }.
% 30.09/30.51 substitution0:
% 30.09/30.51 X := U
% 30.09/30.51 Y := W
% 30.09/30.51 Z := X
% 30.09/30.51 T := Y
% 30.09/30.51 U := Z
% 30.09/30.51 W := T
% 30.09/30.51 end
% 30.09/30.51 permutation0:
% 30.09/30.51 0 ==> 0
% 30.09/30.51 1 ==> 1
% 30.09/30.51 2 ==> 2
% 30.09/30.51 end
% 30.09/30.51
% 30.09/30.51 resolution: (58855) {G1,W15,D2,L3,V6,M3} { ! perp( X, Y, Z, T ), para( X,
% 30.09/30.51 Y, U, W ), ! perp( U, W, Z, T ) }.
% 30.09/30.51 parent0[1]: (8) {G0,W15,D2,L3,V6,M3} I { ! perp( X, Y, U, W ), ! perp( U, W
% 30.09/30.51 , Z, T ), para( X, Y, Z, T ) }.
% 30.09/30.51 parent1[1]: (7) {G0,W10,D2,L2,V4,M2} I { ! perp( X, Y, Z, T ), perp( Z, T,
% 30.09/30.51 X, Y ) }.
% 30.09/30.51 substitution0:
% 30.09/30.51 X := X
% 30.09/30.51 Y := Y
% 30.09/30.51 Z := U
% 30.09/30.51 T := W
% 30.09/30.51 U := Z
% 30.09/30.51 W := T
% 30.09/30.51 end
% 30.09/30.51 substitution1:
% 30.09/30.51 X := U
% 30.09/30.51 Y := W
% 30.09/30.51 Z := Z
% 30.09/30.51 T := T
% 30.09/30.51 end
% 30.09/30.51
% 30.09/30.51 subsumption: (300) {G1,W15,D2,L3,V6,M3} R(8,7) { ! perp( X, Y, Z, T ), para
% 30.09/30.51 ( X, Y, U, W ), ! perp( U, W, Z, T ) }.
% 30.09/30.51 parent0: (58855) {G1,W15,D2,L3,V6,M3} { ! perp( X, Y, Z, T ), para( X, Y,
% 30.09/30.51 U, W ), ! perp( U, W, Z, T ) }.
% 30.09/30.51 substitution0:
% 30.09/30.51 X := X
% 30.09/30.51 Y := Y
% 30.09/30.51 Z := Z
% 30.09/30.51 T := T
% 30.09/30.51 U := U
% 30.09/30.51 W := W
% 30.09/30.51 end
% 30.09/30.51 permutation0:
% 30.09/30.51 0 ==> 0
% 30.09/30.51 1 ==> 1
% 30.09/30.51 2 ==> 2
% 30.09/30.51 end
% 30.09/30.51
% 30.09/30.51 factor: (58858) {G1,W10,D2,L2,V4,M2} { ! perp( X, Y, Z, T ), para( X, Y, X
% 30.09/30.51 , Y ) }.
% 30.09/30.51 parent0[0, 2]: (300) {G1,W15,D2,L3,V6,M3} R(8,7) { ! perp( X, Y, Z, T ),
% 30.09/30.51 para( X, Y, U, W ), ! perp( U, W, Z, T ) }.
% 30.09/30.51 substitution0:
% 30.09/30.51 X := X
% 30.09/30.51 Y := Y
% 30.09/30.51 Z := Z
% 30.09/30.51 T := T
% 30.09/30.51 U := X
% 30.09/30.51 W := Y
% 30.09/30.51 end
% 30.09/30.51
% 30.09/30.51 subsumption: (312) {G2,W10,D2,L2,V4,M2} F(300) { ! perp( X, Y, Z, T ), para
% 30.09/30.51 ( X, Y, X, Y ) }.
% 30.09/30.51 parent0: (58858) {G1,W10,D2,L2,V4,M2} { ! perp( X, Y, Z, T ), para( X, Y,
% 30.09/30.51 X, Y ) }.
% 30.09/30.51 substitution0:
% 30.09/30.51 X := X
% 30.09/30.51 Y := Y
% 30.09/30.51 Z := Z
% 30.09/30.51 T := T
% 30.09/30.51 end
% 30.09/30.51 permutation0:
% 30.09/30.51 0 ==> 0
% 30.09/30.51 1 ==> 1
% 30.09/30.51 end
% 30.09/30.51
% 30.09/30.51 resolution: (58859) {G1,W4,D2,L1,V0,M1} { coll( skol25, skol25, skol26 )
% 30.09/30.51 }.
% 30.09/30.51 parent0[0]: (0) {G0,W8,D2,L2,V3,M2} I { ! coll( X, Y, Z ), coll( X, Z, Y )
% 30.09/30.51 }.
% 30.09/30.51 parent1[0]: (237) {G5,W4,D2,L1,V0,M1} R(217,190) { coll( skol25, skol26,
% 30.09/30.51 skol25 ) }.
% 30.09/30.51 substitution0:
% 30.09/30.51 X := skol25
% 30.09/30.51 Y := skol26
% 30.09/30.51 Z := skol25
% 30.09/30.51 end
% 30.09/30.51 substitution1:
% 30.09/30.51 end
% 30.09/30.51
% 30.09/30.51 subsumption: (317) {G6,W4,D2,L1,V0,M1} R(237,0) { coll( skol25, skol25,
% 30.09/30.51 skol26 ) }.
% 30.09/30.51 parent0: (58859) {G1,W4,D2,L1,V0,M1} { coll( skol25, skol25, skol26 ) }.
% 30.09/30.51 substitution0:
% 30.09/30.51 end
% 30.09/30.51 permutation0:
% 30.09/30.51 0 ==> 0
% 30.09/30.51 end
% 30.09/30.51
% 30.09/30.51 resolution: (58861) {G1,W8,D2,L2,V1,M2} { ! coll( skol25, skol25, X ),
% 30.09/30.51 coll( X, skol26, skol25 ) }.
% 30.09/30.51 parent0[1]: (2) {G0,W12,D2,L3,V4,M3} I { ! coll( X, T, Y ), ! coll( X, T, Z
% 30.09/30.51 ), coll( Y, Z, X ) }.
% 30.09/30.51 parent1[0]: (317) {G6,W4,D2,L1,V0,M1} R(237,0) { coll( skol25, skol25,
% 30.09/30.51 skol26 ) }.
% 30.09/30.51 substitution0:
% 30.09/30.51 X := skol25
% 30.09/30.51 Y := X
% 30.09/30.51 Z := skol26
% 30.09/30.51 T := skol25
% 30.09/30.51 end
% 30.09/30.51 substitution1:
% 30.09/30.51 end
% 30.09/30.51
% 30.09/30.51 subsumption: (320) {G7,W8,D2,L2,V1,M2} R(317,2) { ! coll( skol25, skol25, X
% 30.09/30.51 ), coll( X, skol26, skol25 ) }.
% 30.09/30.51 parent0: (58861) {G1,W8,D2,L2,V1,M2} { ! coll( skol25, skol25, X ), coll(
% 30.09/30.51 X, skol26, skol25 ) }.
% 30.09/30.51 substitution0:
% 30.09/30.51 X := X
% 30.09/30.51 end
% 30.09/30.51 permutation0:
% 30.09/30.51 0 ==> 0
% 30.09/30.51 1 ==> 1
% 30.09/30.51 end
% 30.09/30.51
% 30.09/30.51 resolution: (58862) {G1,W4,D2,L1,V0,M1} { coll( skol26, skol26, skol24 )
% 30.09/30.51 }.
% 30.09/30.51 parent0[0]: (0) {G0,W8,D2,L2,V3,M2} I { ! coll( X, Y, Z ), coll( X, Z, Y )
% 30.09/30.51 }.
% 30.09/30.51 parent1[0]: (244) {G3,W4,D2,L1,V0,M1} R(217,179) { coll( skol26, skol24,
% 30.09/30.51 skol26 ) }.
% 30.09/30.51 substitution0:
% 30.09/30.51 X := skol26
% 30.09/30.51 Y := skol24
% 30.09/30.51 Z := skol26
% 30.09/30.51 end
% 30.09/30.51 substitution1:
% 30.09/30.51 end
% 30.09/30.51
% 30.09/30.51 subsumption: (351) {G4,W4,D2,L1,V0,M1} R(244,0) { coll( skol26, skol26,
% 30.09/30.51 skol24 ) }.
% 30.09/30.51 parent0: (58862) {G1,W4,D2,L1,V0,M1} { coll( skol26, skol26, skol24 ) }.
% 30.09/30.51 substitution0:
% 30.09/30.51 end
% 30.09/30.51 permutation0:
% 30.09/30.51 0 ==> 0
% 30.09/30.51 end
% 30.09/30.51
% 30.09/30.51 resolution: (58863) {G1,W8,D2,L2,V1,M2} { ! coll( skol26, skol26, X ),
% 30.09/30.51 coll( skol24, X, skol26 ) }.
% 30.09/30.51 parent0[0]: (2) {G0,W12,D2,L3,V4,M3} I { ! coll( X, T, Y ), ! coll( X, T, Z
% 30.09/30.51 ), coll( Y, Z, X ) }.
% 30.09/30.51 parent1[0]: (351) {G4,W4,D2,L1,V0,M1} R(244,0) { coll( skol26, skol26,
% 30.09/30.51 skol24 ) }.
% 30.09/30.51 substitution0:
% 30.09/30.51 X := skol26
% 30.09/30.51 Y := skol24
% 30.09/30.51 Z := X
% 30.09/30.51 T := skol26
% 30.09/30.51 end
% 30.09/30.51 substitution1:
% 30.09/30.51 end
% 30.09/30.51
% 30.09/30.51 subsumption: (353) {G5,W8,D2,L2,V1,M2} R(351,2) { ! coll( skol26, skol26, X
% 30.09/30.51 ), coll( skol24, X, skol26 ) }.
% 30.09/30.51 parent0: (58863) {G1,W8,D2,L2,V1,M2} { ! coll( skol26, skol26, X ), coll(
% 30.09/30.51 skol24, X, skol26 ) }.
% 30.09/30.51 substitution0:
% 30.09/30.51 X := X
% 30.09/30.51 end
% 30.09/30.51 permutation0:
% 30.09/30.51 0 ==> 0
% 30.09/30.51 1 ==> 1
% 30.09/30.51 end
% 30.09/30.51
% 30.09/30.51 resolution: (58865) {G1,W5,D2,L1,V0,M1} { perp( skol26, skol22, skol23,
% 30.09/30.51 skol24 ) }.
% 30.09/30.51 parent0[0]: (6) {G0,W10,D2,L2,V4,M2} I { ! perp( X, Y, Z, T ), perp( X, Y,
% 30.09/30.51 T, Z ) }.
% 30.09/30.51 parent1[0]: (290) {G1,W5,D2,L1,V0,M1} R(7,118) { perp( skol26, skol22,
% 30.09/30.51 skol24, skol23 ) }.
% 30.09/30.51 substitution0:
% 30.09/30.51 X := skol26
% 30.09/30.51 Y := skol22
% 30.09/30.51 Z := skol24
% 30.09/30.51 T := skol23
% 30.09/30.51 end
% 30.09/30.51 substitution1:
% 30.09/30.51 end
% 30.09/30.51
% 30.09/30.51 subsumption: (370) {G2,W5,D2,L1,V0,M1} R(290,6) { perp( skol26, skol22,
% 30.09/30.51 skol23, skol24 ) }.
% 30.09/30.51 parent0: (58865) {G1,W5,D2,L1,V0,M1} { perp( skol26, skol22, skol23,
% 30.09/30.51 skol24 ) }.
% 30.09/30.51 substitution0:
% 30.09/30.51 end
% 30.09/30.51 permutation0:
% 30.09/30.51 0 ==> 0
% 30.09/30.51 end
% 30.09/30.51
% 30.09/30.51 resolution: (58866) {G1,W5,D2,L1,V0,M1} { perp( skol23, skol24, skol26,
% 30.09/30.51 skol22 ) }.
% 30.09/30.51 parent0[0]: (7) {G0,W10,D2,L2,V4,M2} I { ! perp( X, Y, Z, T ), perp( Z, T,
% 30.09/30.51 X, Y ) }.
% 30.09/30.51 parent1[0]: (370) {G2,W5,D2,L1,V0,M1} R(290,6) { perp( skol26, skol22,
% 30.09/30.51 skol23, skol24 ) }.
% 30.09/30.51 substitution0:
% 30.09/30.51 X := skol26
% 30.09/30.51 Y := skol22
% 30.09/30.51 Z := skol23
% 30.09/30.51 T := skol24
% 30.09/30.51 end
% 30.09/30.51 substitution1:
% 30.09/30.51 end
% 30.09/30.51
% 30.09/30.51 subsumption: (374) {G3,W5,D2,L1,V0,M1} R(370,7) { perp( skol23, skol24,
% 30.09/30.51 skol26, skol22 ) }.
% 30.09/30.51 parent0: (58866) {G1,W5,D2,L1,V0,M1} { perp( skol23, skol24, skol26,
% 30.09/30.51 skol22 ) }.
% 30.09/30.51 substitution0:
% 30.09/30.51 end
% 30.09/30.51 permutation0:
% 30.09/30.51 0 ==> 0
% 30.09/30.51 end
% 30.09/30.51
% 30.09/30.51 resolution: (58868) {G1,W10,D2,L2,V4,M2} { cyclic( X, Y, T, Z ), ! cyclic
% 30.09/30.51 ( X, Z, Y, T ) }.
% 30.09/30.51 parent0[0]: (13) {G0,W10,D2,L2,V4,M2} I { ! cyclic( X, Y, Z, T ), cyclic( X
% 30.09/30.51 , Y, T, Z ) }.
% 30.09/30.51 parent1[1]: (14) {G0,W10,D2,L2,V4,M2} I { ! cyclic( X, Y, Z, T ), cyclic( X
% 30.09/30.51 , Z, Y, T ) }.
% 30.09/30.51 substitution0:
% 30.09/30.51 X := X
% 30.09/30.51 Y := Y
% 30.09/30.51 Z := Z
% 30.09/30.51 T := T
% 30.09/30.51 end
% 30.09/30.51 substitution1:
% 30.09/30.51 X := X
% 30.09/30.51 Y := Z
% 30.09/30.51 Z := Y
% 30.09/30.51 T := T
% 30.09/30.51 end
% 30.09/30.51
% 30.09/30.51 subsumption: (376) {G1,W10,D2,L2,V4,M2} R(14,13) { ! cyclic( X, Y, Z, T ),
% 30.09/30.51 cyclic( X, Z, T, Y ) }.
% 30.09/30.51 parent0: (58868) {G1,W10,D2,L2,V4,M2} { cyclic( X, Y, T, Z ), ! cyclic( X
% 30.09/30.51 , Z, Y, T ) }.
% 30.09/30.51 substitution0:
% 30.09/30.51 X := X
% 30.09/30.51 Y := Z
% 30.09/30.51 Z := Y
% 30.09/30.51 T := T
% 30.09/30.51 end
% 30.09/30.51 permutation0:
% 30.09/30.51 0 ==> 1
% 30.09/30.51 1 ==> 0
% 30.09/30.51 end
% 30.09/30.51
% 30.09/30.51 resolution: (58869) {G1,W5,D2,L1,V0,M1} { perp( skol23, skol24, skol22,
% 30.09/30.51 skol26 ) }.
% 30.09/30.51 parent0[0]: (6) {G0,W10,D2,L2,V4,M2} I { ! perp( X, Y, Z, T ), perp( X, Y,
% 30.09/30.51 T, Z ) }.
% 30.09/30.51 parent1[0]: (374) {G3,W5,D2,L1,V0,M1} R(370,7) { perp( skol23, skol24,
% 30.09/30.51 skol26, skol22 ) }.
% 30.09/30.51 substitution0:
% 30.09/30.51 X := skol23
% 30.09/30.51 Y := skol24
% 30.09/30.51 Z := skol26
% 30.09/30.51 T := skol22
% 30.09/30.51 end
% 30.09/30.51 substitution1:
% 30.09/30.51 end
% 30.09/30.51
% 30.09/30.51 subsumption: (380) {G4,W5,D2,L1,V0,M1} R(374,6) { perp( skol23, skol24,
% 30.09/30.51 skol22, skol26 ) }.
% 30.09/30.51 parent0: (58869) {G1,W5,D2,L1,V0,M1} { perp( skol23, skol24, skol22,
% 30.09/30.51 skol26 ) }.
% 30.09/30.51 substitution0:
% 30.09/30.51 end
% 30.09/30.51 permutation0:
% 30.09/30.51 0 ==> 0
% 30.09/30.51 end
% 30.09/30.51
% 30.09/30.51 resolution: (58870) {G1,W10,D2,L2,V4,M2} { cyclic( Y, X, Z, T ), ! cyclic
% 30.09/30.51 ( X, Z, Y, T ) }.
% 30.09/30.51 parent0[0]: (15) {G0,W10,D2,L2,V4,M2} I { ! cyclic( X, Y, Z, T ), cyclic( Y
% 30.09/30.51 , X, Z, T ) }.
% 30.09/30.51 parent1[1]: (14) {G0,W10,D2,L2,V4,M2} I { ! cyclic( X, Y, Z, T ), cyclic( X
% 30.09/30.51 , Z, Y, T ) }.
% 30.09/30.51 substitution0:
% 30.09/30.51 X := X
% 30.09/30.51 Y := Y
% 30.09/30.51 Z := Z
% 30.09/30.51 T := T
% 30.09/30.51 end
% 30.09/30.51 substitution1:
% 30.09/30.51 X := X
% 30.09/30.51 Y := Z
% 30.09/30.51 Z := Y
% 30.09/30.51 T := T
% 30.09/30.51 end
% 30.09/30.51
% 30.09/30.51 subsumption: (392) {G1,W10,D2,L2,V4,M2} R(15,14) { cyclic( X, Y, Z, T ), !
% 30.09/30.51 cyclic( Y, Z, X, T ) }.
% 30.09/30.51 parent0: (58870) {G1,W10,D2,L2,V4,M2} { cyclic( Y, X, Z, T ), ! cyclic( X
% 30.09/30.51 , Z, Y, T ) }.
% 30.09/30.51 substitution0:
% 30.09/30.51 X := Y
% 30.09/30.51 Y := X
% 30.09/30.51 Z := Z
% 30.09/30.51 T := T
% 30.09/30.51 end
% 30.09/30.51 permutation0:
% 30.09/30.51 0 ==> 0
% 30.09/30.51 1 ==> 1
% 30.09/30.51 end
% 30.09/30.51
% 30.09/30.51 resolution: (58871) {G1,W10,D2,L2,V4,M2} { cyclic( Y, X, Z, T ), ! cyclic
% 30.09/30.51 ( X, Y, T, Z ) }.
% 30.09/30.51 parent0[0]: (15) {G0,W10,D2,L2,V4,M2} I { ! cyclic( X, Y, Z, T ), cyclic( Y
% 30.09/30.51 , X, Z, T ) }.
% 30.09/30.51 parent1[1]: (13) {G0,W10,D2,L2,V4,M2} I { ! cyclic( X, Y, Z, T ), cyclic( X
% 30.09/30.51 , Y, T, Z ) }.
% 30.09/30.51 substitution0:
% 30.09/30.51 X := X
% 30.09/30.51 Y := Y
% 30.09/30.51 Z := Z
% 30.09/30.51 T := T
% 30.09/30.51 end
% 30.09/30.51 substitution1:
% 30.09/30.51 X := X
% 30.09/30.51 Y := Y
% 30.09/30.51 Z := T
% 30.09/30.51 T := Z
% 30.09/30.51 end
% 30.09/30.51
% 30.09/30.51 subsumption: (394) {G1,W10,D2,L2,V4,M2} R(15,13) { cyclic( X, Y, Z, T ), !
% 30.09/30.51 cyclic( Y, X, T, Z ) }.
% 30.09/30.51 parent0: (58871) {G1,W10,D2,L2,V4,M2} { cyclic( Y, X, Z, T ), ! cyclic( X
% 30.09/30.51 , Y, T, Z ) }.
% 30.09/30.51 substitution0:
% 30.09/30.51 X := Y
% 30.09/30.51 Y := X
% 30.09/30.51 Z := Z
% 30.09/30.51 T := T
% 30.09/30.51 end
% 30.09/30.51 permutation0:
% 30.09/30.51 0 ==> 0
% 30.09/30.51 1 ==> 1
% 30.09/30.51 end
% 30.09/30.51
% 30.09/30.51 resolution: (58872) {G1,W5,D2,L1,V0,M1} { perp( skol26, skol20, skol23,
% 30.09/30.51 skol25 ) }.
% 30.09/30.51 parent0[0]: (6) {G0,W10,D2,L2,V4,M2} I { ! perp( X, Y, Z, T ), perp( X, Y,
% 30.09/30.51 T, Z ) }.
% 30.09/30.51 parent1[0]: (291) {G1,W5,D2,L1,V0,M1} R(7,120) { perp( skol26, skol20,
% 30.09/30.51 skol25, skol23 ) }.
% 30.09/30.51 substitution0:
% 30.09/30.51 X := skol26
% 30.09/30.51 Y := skol20
% 30.09/30.51 Z := skol25
% 30.09/30.51 T := skol23
% 30.09/30.51 end
% 30.09/30.51 substitution1:
% 30.09/30.51 end
% 30.09/30.51
% 30.09/30.51 subsumption: (403) {G2,W5,D2,L1,V0,M1} R(291,6) { perp( skol26, skol20,
% 30.09/30.51 skol23, skol25 ) }.
% 30.09/30.51 parent0: (58872) {G1,W5,D2,L1,V0,M1} { perp( skol26, skol20, skol23,
% 30.09/30.51 skol25 ) }.
% 30.09/30.51 substitution0:
% 30.09/30.51 end
% 30.09/30.51 permutation0:
% 30.09/30.51 0 ==> 0
% 30.09/30.51 end
% 30.09/30.51
% 30.09/30.51 resolution: (58873) {G1,W5,D2,L1,V0,M1} { perp( skol23, skol25, skol26,
% 30.09/30.51 skol20 ) }.
% 30.09/30.51 parent0[0]: (7) {G0,W10,D2,L2,V4,M2} I { ! perp( X, Y, Z, T ), perp( Z, T,
% 30.09/30.51 X, Y ) }.
% 30.09/30.51 parent1[0]: (403) {G2,W5,D2,L1,V0,M1} R(291,6) { perp( skol26, skol20,
% 30.09/30.51 skol23, skol25 ) }.
% 30.09/30.51 substitution0:
% 30.09/30.51 X := skol26
% 30.09/30.51 Y := skol20
% 30.09/30.51 Z := skol23
% 30.09/30.51 T := skol25
% 30.09/30.51 end
% 30.09/30.51 substitution1:
% 30.09/30.51 end
% 30.09/30.51
% 30.09/30.51 subsumption: (407) {G3,W5,D2,L1,V0,M1} R(403,7) { perp( skol23, skol25,
% 30.09/30.51 skol26, skol20 ) }.
% 30.09/30.51 parent0: (58873) {G1,W5,D2,L1,V0,M1} { perp( skol23, skol25, skol26,
% 30.09/30.51 skol20 ) }.
% 30.09/30.51 substitution0:
% 30.09/30.51 end
% 30.09/30.51 permutation0:
% 30.09/30.51 0 ==> 0
% 30.09/30.51 end
% 30.09/30.51
% 30.09/30.51 resolution: (58874) {G1,W5,D2,L1,V0,M1} { perp( skol23, skol25, skol20,
% 30.09/30.51 skol26 ) }.
% 30.09/30.51 parent0[0]: (6) {G0,W10,D2,L2,V4,M2} I { ! perp( X, Y, Z, T ), perp( X, Y,
% 30.09/30.51 T, Z ) }.
% 30.09/30.51 parent1[0]: (407) {G3,W5,D2,L1,V0,M1} R(403,7) { perp( skol23, skol25,
% 30.09/30.51 skol26, skol20 ) }.
% 30.09/30.51 substitution0:
% 30.09/30.51 X := skol23
% 30.09/30.51 Y := skol25
% 30.09/30.51 Z := skol26
% 30.09/30.51 T := skol20
% 30.09/30.51 end
% 30.09/30.51 substitution1:
% 30.09/30.51 end
% 30.09/30.51
% 30.09/30.51 subsumption: (411) {G4,W5,D2,L1,V0,M1} R(407,6) { perp( skol23, skol25,
% 30.09/30.51 skol20, skol26 ) }.
% 30.09/30.51 parent0: (58874) {G1,W5,D2,L1,V0,M1} { perp( skol23, skol25, skol20,
% 30.09/30.51 skol26 ) }.
% 30.09/30.51 substitution0:
% 30.09/30.51 end
% 30.09/30.51 permutation0:
% 30.09/30.51 0 ==> 0
% 30.09/30.51 end
% 30.09/30.51
% 30.09/30.51 resolution: (58878) {G1,W15,D2,L3,V5,M3} { cyclic( Y, X, Z, T ), ! cyclic
% 30.09/30.51 ( U, X, Y, Z ), ! cyclic( U, X, Y, T ) }.
% 30.09/30.51 parent0[0]: (15) {G0,W10,D2,L2,V4,M2} I { ! cyclic( X, Y, Z, T ), cyclic( Y
% 30.09/30.51 , X, Z, T ) }.
% 30.09/30.51 parent1[2]: (16) {G0,W15,D2,L3,V5,M3} I { ! cyclic( U, X, Y, Z ), ! cyclic
% 30.09/30.51 ( U, X, Y, T ), cyclic( X, Y, Z, T ) }.
% 30.09/30.51 substitution0:
% 30.09/30.51 X := X
% 30.09/30.51 Y := Y
% 30.09/30.51 Z := Z
% 30.09/30.51 T := T
% 30.09/30.51 end
% 30.09/30.51 substitution1:
% 30.09/30.51 X := X
% 30.09/30.51 Y := Y
% 30.09/30.51 Z := Z
% 30.09/30.51 T := T
% 30.09/30.51 U := U
% 30.09/30.51 end
% 30.09/30.51
% 30.09/30.51 subsumption: (420) {G1,W15,D2,L3,V5,M3} R(16,15) { ! cyclic( X, Y, Z, T ),
% 30.09/30.51 ! cyclic( X, Y, Z, U ), cyclic( Z, Y, T, U ) }.
% 30.09/30.51 parent0: (58878) {G1,W15,D2,L3,V5,M3} { cyclic( Y, X, Z, T ), ! cyclic( U
% 30.09/30.51 , X, Y, Z ), ! cyclic( U, X, Y, T ) }.
% 30.09/30.51 substitution0:
% 30.09/30.51 X := Y
% 30.09/30.51 Y := Z
% 30.09/30.51 Z := T
% 30.09/30.51 T := U
% 30.09/30.51 U := X
% 30.09/30.51 end
% 30.09/30.51 permutation0:
% 30.09/30.51 0 ==> 2
% 30.09/30.51 1 ==> 0
% 30.09/30.51 2 ==> 1
% 30.09/30.51 end
% 30.09/30.51
% 30.09/30.51 resolution: (58881) {G1,W15,D2,L3,V5,M3} { ! cyclic( X, Y, Z, T ), cyclic
% 30.09/30.51 ( Y, Z, T, U ), ! cyclic( X, Y, U, Z ) }.
% 30.09/30.51 parent0[1]: (16) {G0,W15,D2,L3,V5,M3} I { ! cyclic( U, X, Y, Z ), ! cyclic
% 30.09/30.51 ( U, X, Y, T ), cyclic( X, Y, Z, T ) }.
% 30.09/30.51 parent1[1]: (13) {G0,W10,D2,L2,V4,M2} I { ! cyclic( X, Y, Z, T ), cyclic( X
% 30.09/30.51 , Y, T, Z ) }.
% 30.09/30.51 substitution0:
% 30.09/30.51 X := Y
% 30.09/30.51 Y := Z
% 30.09/30.51 Z := T
% 30.09/30.51 T := U
% 30.09/30.51 U := X
% 30.09/30.51 end
% 30.09/30.51 substitution1:
% 30.09/30.51 X := X
% 30.09/30.51 Y := Y
% 30.09/30.51 Z := U
% 30.09/30.51 T := Z
% 30.09/30.51 end
% 30.09/30.51
% 30.09/30.51 subsumption: (425) {G1,W15,D2,L3,V5,M3} R(16,13) { ! cyclic( X, Y, Z, T ),
% 30.09/30.51 cyclic( Y, Z, T, U ), ! cyclic( X, Y, U, Z ) }.
% 30.09/30.51 parent0: (58881) {G1,W15,D2,L3,V5,M3} { ! cyclic( X, Y, Z, T ), cyclic( Y
% 30.09/30.51 , Z, T, U ), ! cyclic( X, Y, U, Z ) }.
% 30.09/30.51 substitution0:
% 30.09/30.51 X := X
% 30.09/30.51 Y := Y
% 30.09/30.51 Z := Z
% 30.09/30.51 T := T
% 30.09/30.51 U := U
% 30.09/30.51 end
% 30.09/30.51 permutation0:
% 30.09/30.51 0 ==> 0
% 30.09/30.51 1 ==> 1
% 30.09/30.51 2 ==> 2
% 30.09/30.51 end
% 30.09/30.51
% 30.09/30.51 factor: (58883) {G1,W10,D2,L2,V4,M2} { ! cyclic( X, Y, Z, T ), cyclic( Z,
% 30.09/30.51 Y, T, T ) }.
% 30.09/30.51 parent0[0, 1]: (420) {G1,W15,D2,L3,V5,M3} R(16,15) { ! cyclic( X, Y, Z, T )
% 30.09/30.51 , ! cyclic( X, Y, Z, U ), cyclic( Z, Y, T, U ) }.
% 30.09/30.51 substitution0:
% 30.09/30.51 X := X
% 30.09/30.51 Y := Y
% 30.09/30.51 Z := Z
% 30.09/30.51 T := T
% 30.09/30.51 U := T
% 30.09/30.51 end
% 30.09/30.51
% 30.09/30.51 subsumption: (429) {G2,W10,D2,L2,V4,M2} F(420) { ! cyclic( X, Y, Z, T ),
% 30.09/30.51 cyclic( Z, Y, T, T ) }.
% 30.09/30.51 parent0: (58883) {G1,W10,D2,L2,V4,M2} { ! cyclic( X, Y, Z, T ), cyclic( Z
% 30.09/30.51 , Y, T, T ) }.
% 30.09/30.51 substitution0:
% 30.09/30.51 X := X
% 30.09/30.51 Y := Y
% 30.09/30.51 Z := Z
% 30.09/30.51 T := T
% 30.09/30.51 end
% 30.09/30.51 permutation0:
% 30.09/30.51 0 ==> 0
% 30.09/30.51 1 ==> 1
% 30.09/30.51 end
% 30.09/30.51
% 30.09/30.51 resolution: (58885) {G1,W8,D2,L2,V3,M2} { coll( Y, X, X ), ! coll( X, Z, Y
% 30.09/30.51 ) }.
% 30.09/30.51 parent0[0]: (1) {G0,W8,D2,L2,V3,M2} I { ! coll( X, Y, Z ), coll( Y, X, Z )
% 30.09/30.51 }.
% 30.09/30.51 parent1[0]: (248) {G4,W8,D2,L2,V3,M2} F(234) { coll( X, Y, X ), ! coll( X,
% 30.09/30.51 Z, Y ) }.
% 30.09/30.51 substitution0:
% 30.09/30.51 X := X
% 30.09/30.51 Y := Y
% 30.09/30.51 Z := X
% 30.09/30.51 end
% 30.09/30.51 substitution1:
% 30.09/30.51 X := X
% 30.09/30.51 Y := Y
% 30.09/30.51 Z := Z
% 30.09/30.51 end
% 30.09/30.51
% 30.09/30.51 subsumption: (454) {G5,W8,D2,L2,V3,M2} R(248,1) { ! coll( X, Y, Z ), coll(
% 30.09/30.51 Z, X, X ) }.
% 30.09/30.51 parent0: (58885) {G1,W8,D2,L2,V3,M2} { coll( Y, X, X ), ! coll( X, Z, Y )
% 30.09/30.51 }.
% 30.09/30.51 substitution0:
% 30.09/30.51 X := X
% 30.09/30.51 Y := Z
% 30.09/30.51 Z := Y
% 30.09/30.51 end
% 30.09/30.51 permutation0:
% 30.09/30.51 0 ==> 1
% 30.09/30.51 1 ==> 0
% 30.09/30.51 end
% 30.09/30.51
% 30.09/30.51 resolution: (58886) {G1,W8,D2,L2,V3,M2} { coll( Z, X, X ), ! coll( X, Z, Y
% 30.09/30.51 ) }.
% 30.09/30.51 parent0[0]: (454) {G5,W8,D2,L2,V3,M2} R(248,1) { ! coll( X, Y, Z ), coll( Z
% 30.09/30.51 , X, X ) }.
% 30.09/30.51 parent1[1]: (0) {G0,W8,D2,L2,V3,M2} I { ! coll( X, Y, Z ), coll( X, Z, Y )
% 30.09/30.51 }.
% 30.09/30.51 substitution0:
% 30.09/30.51 X := X
% 30.09/30.51 Y := Y
% 30.09/30.51 Z := Z
% 30.09/30.51 end
% 30.09/30.51 substitution1:
% 30.09/30.51 X := X
% 30.09/30.51 Y := Z
% 30.09/30.51 Z := Y
% 30.09/30.51 end
% 30.09/30.51
% 30.09/30.51 subsumption: (462) {G6,W8,D2,L2,V3,M2} R(454,0) { coll( X, Y, Y ), ! coll(
% 30.09/30.51 Y, X, Z ) }.
% 30.09/30.51 parent0: (58886) {G1,W8,D2,L2,V3,M2} { coll( Z, X, X ), ! coll( X, Z, Y )
% 30.09/30.51 }.
% 30.09/30.51 substitution0:
% 30.09/30.51 X := Y
% 30.09/30.51 Y := Z
% 30.09/30.51 Z := X
% 30.09/30.51 end
% 30.09/30.51 permutation0:
% 30.09/30.51 0 ==> 0
% 30.09/30.51 1 ==> 1
% 30.09/30.51 end
% 30.09/30.51
% 30.09/30.51 resolution: (58888) {G1,W18,D2,L2,V8,M2} { eqangle( U, W, V0, V1, X, Y, Z
% 30.09/30.51 , T ), ! eqangle( X, Y, U, W, Z, T, V0, V1 ) }.
% 30.09/30.51 parent0[0]: (19) {G0,W18,D2,L2,V8,M2} I { ! eqangle( X, Y, Z, T, U, W, V0,
% 30.09/30.51 V1 ), eqangle( U, W, V0, V1, X, Y, Z, T ) }.
% 30.09/30.51 parent1[1]: (20) {G0,W18,D2,L2,V8,M2} I { ! eqangle( X, Y, Z, T, U, W, V0,
% 30.09/30.51 V1 ), eqangle( X, Y, U, W, Z, T, V0, V1 ) }.
% 30.09/30.51 substitution0:
% 30.09/30.51 X := X
% 30.09/30.51 Y := Y
% 30.09/30.51 Z := Z
% 30.09/30.51 T := T
% 30.09/30.51 U := U
% 30.09/30.51 W := W
% 30.09/30.51 V0 := V0
% 30.09/30.51 V1 := V1
% 30.09/30.51 end
% 30.09/30.51 substitution1:
% 30.09/30.51 X := X
% 30.09/30.51 Y := Y
% 30.09/30.51 Z := U
% 30.09/30.51 T := W
% 30.09/30.51 U := Z
% 30.09/30.51 W := T
% 30.09/30.51 V0 := V0
% 30.09/30.51 V1 := V1
% 30.09/30.51 end
% 30.09/30.51
% 30.09/30.51 subsumption: (476) {G1,W18,D2,L2,V8,M2} R(20,19) { ! eqangle( X, Y, Z, T, U
% 30.09/30.51 , W, V0, V1 ), eqangle( Z, T, V0, V1, X, Y, U, W ) }.
% 30.09/30.51 parent0: (58888) {G1,W18,D2,L2,V8,M2} { eqangle( U, W, V0, V1, X, Y, Z, T
% 30.09/30.51 ), ! eqangle( X, Y, U, W, Z, T, V0, V1 ) }.
% 30.09/30.51 substitution0:
% 30.09/30.51 X := X
% 30.09/30.51 Y := Y
% 30.09/30.51 Z := U
% 30.09/30.51 T := W
% 30.09/30.51 U := Z
% 30.09/30.51 W := T
% 30.09/30.51 V0 := V0
% 30.09/30.51 V1 := V1
% 30.09/30.51 end
% 30.09/30.51 permutation0:
% 30.09/30.51 0 ==> 1
% 30.09/30.51 1 ==> 0
% 30.09/30.51 end
% 30.09/30.51
% 30.09/30.51 resolution: (58889) {G1,W27,D2,L3,V12,M3} { ! eqangle( U, W, V0, V1, V2,
% 30.09/30.51 V3, V4, V5 ), eqangle( X, Y, Z, T, V2, V3, V4, V5 ), ! eqangle( Y, X, Z,
% 30.09/30.51 T, U, W, V0, V1 ) }.
% 30.09/30.51 parent0[0]: (21) {G0,W27,D2,L3,V12,M3} I { ! eqangle( X, Y, Z, T, V2, V3,
% 30.09/30.51 V4, V5 ), ! eqangle( V2, V3, V4, V5, U, W, V0, V1 ), eqangle( X, Y, Z, T
% 30.09/30.51 , U, W, V0, V1 ) }.
% 30.09/30.51 parent1[1]: (17) {G0,W18,D2,L2,V8,M2} I { ! eqangle( X, Y, Z, T, U, W, V0,
% 30.09/30.51 V1 ), eqangle( Y, X, Z, T, U, W, V0, V1 ) }.
% 30.09/30.51 substitution0:
% 30.09/30.51 X := X
% 30.09/30.51 Y := Y
% 30.09/30.51 Z := Z
% 30.09/30.51 T := T
% 30.09/30.51 U := V2
% 30.09/30.51 W := V3
% 30.09/30.51 V0 := V4
% 30.09/30.51 V1 := V5
% 30.09/30.51 V2 := U
% 30.09/30.51 V3 := W
% 30.09/30.51 V4 := V0
% 30.09/30.51 V5 := V1
% 30.09/30.51 end
% 30.09/30.51 substitution1:
% 30.09/30.51 X := Y
% 30.09/30.51 Y := X
% 30.09/30.51 Z := Z
% 30.09/30.51 T := T
% 30.09/30.51 U := U
% 30.09/30.51 W := W
% 30.09/30.51 V0 := V0
% 30.09/30.51 V1 := V1
% 30.09/30.51 end
% 30.09/30.51
% 30.09/30.51 subsumption: (494) {G1,W27,D2,L3,V12,M3} R(21,17) { ! eqangle( X, Y, Z, T,
% 30.09/30.51 U, W, V0, V1 ), eqangle( V2, V3, V4, V5, U, W, V0, V1 ), ! eqangle( V3,
% 30.09/30.51 V2, V4, V5, X, Y, Z, T ) }.
% 30.09/30.51 parent0: (58889) {G1,W27,D2,L3,V12,M3} { ! eqangle( U, W, V0, V1, V2, V3,
% 30.09/30.51 V4, V5 ), eqangle( X, Y, Z, T, V2, V3, V4, V5 ), ! eqangle( Y, X, Z, T, U
% 30.09/30.51 , W, V0, V1 ) }.
% 30.09/30.51 substitution0:
% 30.09/30.51 X := V2
% 30.09/30.51 Y := V3
% 30.09/30.51 Z := V4
% 30.09/30.51 T := V5
% 30.09/30.51 U := X
% 30.09/30.51 W := Y
% 30.09/30.51 V0 := Z
% 30.09/30.51 V1 := T
% 30.09/30.51 V2 := U
% 30.09/30.51 V3 := W
% 30.09/30.51 V4 := V0
% 30.09/30.51 V5 := V1
% 30.09/30.51 end
% 30.09/30.51 permutation0:
% 30.09/30.51 0 ==> 0
% 30.09/30.51 1 ==> 1
% 30.09/30.51 2 ==> 2
% 30.09/30.51 end
% 30.09/30.51
% 30.09/30.51 resolution: (58893) {G7,W8,D2,L2,V3,M2} { coll( X, Y, Y ), ! coll( X, Y, Z
% 30.09/30.51 ) }.
% 30.09/30.51 parent0[1]: (462) {G6,W8,D2,L2,V3,M2} R(454,0) { coll( X, Y, Y ), ! coll( Y
% 30.09/30.51 , X, Z ) }.
% 30.09/30.51 parent1[0]: (462) {G6,W8,D2,L2,V3,M2} R(454,0) { coll( X, Y, Y ), ! coll( Y
% 30.09/30.51 , X, Z ) }.
% 30.09/30.51 substitution0:
% 30.09/30.51 X := X
% 30.09/30.51 Y := Y
% 30.09/30.51 Z := X
% 30.09/30.51 end
% 30.09/30.51 substitution1:
% 30.09/30.51 X := Y
% 30.09/30.51 Y := X
% 30.09/30.51 Z := Z
% 30.09/30.51 end
% 30.09/30.51
% 30.09/30.51 subsumption: (535) {G7,W8,D2,L2,V3,M2} R(462,462) { ! coll( X, Y, Z ), coll
% 30.09/30.51 ( X, Y, Y ) }.
% 30.09/30.51 parent0: (58893) {G7,W8,D2,L2,V3,M2} { coll( X, Y, Y ), ! coll( X, Y, Z )
% 30.09/30.51 }.
% 30.09/30.51 substitution0:
% 30.09/30.51 X := X
% 30.09/30.51 Y := Y
% 30.09/30.51 Z := Z
% 30.09/30.51 end
% 30.09/30.51 permutation0:
% 30.09/30.51 0 ==> 1
% 30.09/30.51 1 ==> 0
% 30.09/30.51 end
% 30.09/30.51
% 30.09/30.51 resolution: (58897) {G1,W12,D2,L3,V4,M3} { ! coll( X, Y, Z ), coll( Z, Y,
% 30.09/30.51 X ), ! coll( X, Y, T ) }.
% 30.09/30.51 parent0[1]: (2) {G0,W12,D2,L3,V4,M3} I { ! coll( X, T, Y ), ! coll( X, T, Z
% 30.09/30.51 ), coll( Y, Z, X ) }.
% 30.09/30.51 parent1[1]: (535) {G7,W8,D2,L2,V3,M2} R(462,462) { ! coll( X, Y, Z ), coll
% 30.09/30.51 ( X, Y, Y ) }.
% 30.09/30.51 substitution0:
% 30.09/30.51 X := X
% 30.09/30.51 Y := Z
% 30.09/30.51 Z := Y
% 30.09/30.51 T := Y
% 30.09/30.51 end
% 30.09/30.51 substitution1:
% 30.09/30.51 X := X
% 30.09/30.51 Y := Y
% 30.09/30.51 Z := T
% 30.09/30.51 end
% 30.09/30.51
% 30.09/30.51 subsumption: (538) {G8,W12,D2,L3,V4,M3} R(535,2) { ! coll( X, Y, Z ), !
% 30.09/30.51 coll( X, Y, T ), coll( T, Y, X ) }.
% 30.09/30.51 parent0: (58897) {G1,W12,D2,L3,V4,M3} { ! coll( X, Y, Z ), coll( Z, Y, X )
% 30.09/30.51 , ! coll( X, Y, T ) }.
% 30.09/30.51 substitution0:
% 30.09/30.51 X := X
% 30.09/30.51 Y := Y
% 30.09/30.51 Z := T
% 30.09/30.51 T := Z
% 30.09/30.51 end
% 30.09/30.51 permutation0:
% 30.09/30.51 0 ==> 1
% 30.09/30.51 1 ==> 2
% 30.09/30.51 2 ==> 0
% 30.09/30.51 end
% 30.09/30.51
% 30.09/30.51 factor: (58900) {G8,W8,D2,L2,V3,M2} { ! coll( X, Y, Z ), coll( Z, Y, X )
% 30.09/30.51 }.
% 30.09/30.51 parent0[0, 1]: (538) {G8,W12,D2,L3,V4,M3} R(535,2) { ! coll( X, Y, Z ), !
% 30.09/30.51 coll( X, Y, T ), coll( T, Y, X ) }.
% 30.09/30.51 substitution0:
% 30.09/30.51 X := X
% 30.09/30.51 Y := Y
% 30.09/30.51 Z := Z
% 30.09/30.51 T := Z
% 30.09/30.51 end
% 30.09/30.51
% 30.09/30.51 subsumption: (539) {G9,W8,D2,L2,V3,M2} F(538) { ! coll( X, Y, Z ), coll( Z
% 30.09/30.51 , Y, X ) }.
% 30.09/30.51 parent0: (58900) {G8,W8,D2,L2,V3,M2} { ! coll( X, Y, Z ), coll( Z, Y, X )
% 30.09/30.51 }.
% 30.09/30.51 substitution0:
% 30.09/30.51 X := X
% 30.09/30.51 Y := Y
% 30.09/30.51 Z := Z
% 30.09/30.51 end
% 30.09/30.51 permutation0:
% 30.09/30.51 0 ==> 0
% 30.09/30.51 1 ==> 1
% 30.09/30.51 end
% 30.09/30.51
% 30.09/30.51 resolution: (58901) {G8,W8,D2,L2,V3,M2} { coll( Y, Y, X ), ! coll( X, Y, Z
% 30.09/30.51 ) }.
% 30.09/30.51 parent0[0]: (539) {G9,W8,D2,L2,V3,M2} F(538) { ! coll( X, Y, Z ), coll( Z,
% 30.09/30.51 Y, X ) }.
% 30.09/30.51 parent1[1]: (535) {G7,W8,D2,L2,V3,M2} R(462,462) { ! coll( X, Y, Z ), coll
% 30.09/30.51 ( X, Y, Y ) }.
% 30.09/30.51 substitution0:
% 30.09/30.51 X := X
% 30.09/30.51 Y := Y
% 30.09/30.51 Z := Y
% 30.09/30.51 end
% 30.09/30.51 substitution1:
% 30.09/30.51 X := X
% 30.09/30.51 Y := Y
% 30.09/30.51 Z := Z
% 30.09/30.51 end
% 30.09/30.51
% 30.09/30.51 subsumption: (555) {G10,W8,D2,L2,V3,M2} R(539,535) { coll( X, X, Y ), !
% 30.09/30.51 coll( Y, X, Z ) }.
% 30.09/30.51 parent0: (58901) {G8,W8,D2,L2,V3,M2} { coll( Y, Y, X ), ! coll( X, Y, Z )
% 30.09/30.51 }.
% 30.09/30.51 substitution0:
% 30.09/30.51 X := Y
% 30.09/30.51 Y := X
% 30.09/30.51 Z := Z
% 30.09/30.51 end
% 30.09/30.51 permutation0:
% 30.09/30.51 0 ==> 0
% 30.09/30.51 1 ==> 1
% 30.09/30.51 end
% 30.09/30.51
% 30.09/30.51 resolution: (58902) {G1,W14,D2,L2,V6,M2} { eqangle( X, Y, U, W, Z, T, Z, T
% 30.09/30.51 ), ! para( X, Y, U, W ) }.
% 30.09/30.51 parent0[0]: (20) {G0,W18,D2,L2,V8,M2} I { ! eqangle( X, Y, Z, T, U, W, V0,
% 30.09/30.51 V1 ), eqangle( X, Y, U, W, Z, T, V0, V1 ) }.
% 30.09/30.51 parent1[1]: (39) {G0,W14,D2,L2,V6,M2} I { ! para( X, Y, Z, T ), eqangle( X
% 30.09/30.51 , Y, U, W, Z, T, U, W ) }.
% 30.09/30.51 substitution0:
% 30.09/30.51 X := X
% 30.09/30.51 Y := Y
% 30.09/30.51 Z := Z
% 30.09/30.51 T := T
% 30.09/30.51 U := U
% 30.09/30.51 W := W
% 30.09/30.51 V0 := Z
% 30.09/30.51 V1 := T
% 30.09/30.51 end
% 30.09/30.51 substitution1:
% 30.09/30.51 X := X
% 30.09/30.51 Y := Y
% 30.09/30.51 Z := U
% 30.09/30.51 T := W
% 30.09/30.51 U := Z
% 30.09/30.51 W := T
% 30.09/30.51 end
% 30.09/30.51
% 30.09/30.51 subsumption: (809) {G1,W14,D2,L2,V6,M2} R(39,20) { ! para( X, Y, Z, T ),
% 30.09/30.51 eqangle( X, Y, Z, T, U, W, U, W ) }.
% 30.09/30.51 parent0: (58902) {G1,W14,D2,L2,V6,M2} { eqangle( X, Y, U, W, Z, T, Z, T )
% 30.09/30.51 , ! para( X, Y, U, W ) }.
% 30.09/30.51 substitution0:
% 30.09/30.51 X := X
% 30.09/30.51 Y := Y
% 30.09/30.51 Z := U
% 30.09/30.51 T := W
% 30.09/30.51 U := Z
% 30.09/30.51 W := T
% 30.09/30.51 end
% 30.09/30.51 permutation0:
% 30.09/30.51 0 ==> 1
% 30.09/30.51 1 ==> 0
% 30.09/30.51 end
% 30.09/30.51
% 30.09/30.51 resolution: (58903) {G1,W14,D2,L2,V6,M2} { eqangle( Z, T, X, Y, Z, T, U, W
% 30.09/30.51 ), ! para( X, Y, U, W ) }.
% 30.09/30.51 parent0[0]: (18) {G0,W18,D2,L2,V8,M2} I { ! eqangle( X, Y, Z, T, U, W, V0,
% 30.09/30.51 V1 ), eqangle( Z, T, X, Y, V0, V1, U, W ) }.
% 30.09/30.51 parent1[1]: (39) {G0,W14,D2,L2,V6,M2} I { ! para( X, Y, Z, T ), eqangle( X
% 30.09/30.51 , Y, U, W, Z, T, U, W ) }.
% 30.09/30.51 substitution0:
% 30.09/30.51 X := X
% 30.09/30.51 Y := Y
% 30.09/30.51 Z := Z
% 30.09/30.51 T := T
% 30.09/30.51 U := U
% 30.09/30.51 W := W
% 30.09/30.51 V0 := Z
% 30.09/30.51 V1 := T
% 30.09/30.51 end
% 30.09/30.51 substitution1:
% 30.09/30.51 X := X
% 30.09/30.51 Y := Y
% 30.09/30.51 Z := U
% 30.09/30.51 T := W
% 30.09/30.51 U := Z
% 30.09/30.51 W := T
% 30.09/30.51 end
% 30.09/30.51
% 30.09/30.51 subsumption: (811) {G1,W14,D2,L2,V6,M2} R(39,18) { ! para( X, Y, Z, T ),
% 30.09/30.51 eqangle( U, W, X, Y, U, W, Z, T ) }.
% 30.09/30.51 parent0: (58903) {G1,W14,D2,L2,V6,M2} { eqangle( Z, T, X, Y, Z, T, U, W )
% 30.09/30.51 , ! para( X, Y, U, W ) }.
% 30.09/30.51 substitution0:
% 30.09/30.51 X := X
% 30.09/30.51 Y := Y
% 30.09/30.51 Z := U
% 30.09/30.51 T := W
% 30.09/30.51 U := Z
% 30.09/30.51 W := T
% 30.09/30.51 end
% 30.09/30.51 permutation0:
% 30.09/30.51 0 ==> 1
% 30.09/30.51 1 ==> 0
% 30.09/30.51 end
% 30.09/30.51
% 30.09/30.51 resolution: (58904) {G1,W14,D2,L2,V6,M2} { eqangle( X, Y, U, W, Z, T, U, W
% 30.09/30.51 ), ! para( X, Y, T, Z ) }.
% 30.09/30.51 parent0[0]: (39) {G0,W14,D2,L2,V6,M2} I { ! para( X, Y, Z, T ), eqangle( X
% 30.09/30.51 , Y, U, W, Z, T, U, W ) }.
% 30.09/30.51 parent1[1]: (3) {G0,W10,D2,L2,V4,M2} I { ! para( X, Y, Z, T ), para( X, Y,
% 30.09/30.51 T, Z ) }.
% 30.09/30.51 substitution0:
% 30.09/30.51 X := X
% 30.09/30.51 Y := Y
% 30.09/30.51 Z := Z
% 30.09/30.51 T := T
% 30.09/30.51 U := U
% 30.09/30.51 W := W
% 30.09/30.51 end
% 30.09/30.51 substitution1:
% 30.09/30.51 X := X
% 30.09/30.51 Y := Y
% 30.09/30.51 Z := T
% 30.09/30.51 T := Z
% 30.09/30.51 end
% 30.09/30.51
% 30.09/30.51 subsumption: (815) {G1,W14,D2,L2,V6,M2} R(39,3) { eqangle( X, Y, Z, T, U, W
% 30.09/30.51 , Z, T ), ! para( X, Y, W, U ) }.
% 30.09/30.51 parent0: (58904) {G1,W14,D2,L2,V6,M2} { eqangle( X, Y, U, W, Z, T, U, W )
% 30.09/30.51 , ! para( X, Y, T, Z ) }.
% 30.09/30.51 substitution0:
% 30.09/30.51 X := X
% 30.09/30.51 Y := Y
% 30.09/30.51 Z := U
% 30.09/30.51 T := W
% 30.09/30.51 U := Z
% 30.09/30.51 W := T
% 30.09/30.51 end
% 30.09/30.51 permutation0:
% 30.09/30.51 0 ==> 0
% 30.09/30.51 1 ==> 1
% 30.09/30.51 end
% 30.09/30.51
% 30.09/30.51 resolution: (58905) {G1,W18,D2,L3,V4,M3} { ! coll( X, T, Z ), cyclic( Y, Z
% 30.09/30.51 , X, T ), ! eqangle( T, Y, T, Z, X, Y, X, Z ) }.
% 30.09/30.51 parent0[0]: (42) {G0,W18,D2,L3,V4,M3} I { ! eqangle( Z, X, Z, Y, T, X, T, Y
% 30.09/30.51 ), ! coll( Z, T, Y ), cyclic( X, Y, Z, T ) }.
% 30.09/30.51 parent1[1]: (19) {G0,W18,D2,L2,V8,M2} I { ! eqangle( X, Y, Z, T, U, W, V0,
% 30.09/30.51 V1 ), eqangle( U, W, V0, V1, X, Y, Z, T ) }.
% 30.09/30.51 substitution0:
% 30.09/30.51 X := Y
% 30.09/30.51 Y := Z
% 30.09/30.51 Z := X
% 30.09/30.51 T := T
% 30.09/30.51 end
% 30.09/30.51 substitution1:
% 30.09/30.51 X := T
% 30.09/30.51 Y := Y
% 30.09/30.51 Z := T
% 30.09/30.51 T := Z
% 30.09/30.51 U := X
% 30.09/30.51 W := Y
% 30.09/30.51 V0 := X
% 30.09/30.51 V1 := Z
% 30.09/30.51 end
% 30.09/30.51
% 30.09/30.51 subsumption: (855) {G1,W18,D2,L3,V4,M3} R(42,19) { ! coll( X, Y, Z ),
% 30.09/30.51 cyclic( T, Z, X, Y ), ! eqangle( Y, T, Y, Z, X, T, X, Z ) }.
% 30.09/30.51 parent0: (58905) {G1,W18,D2,L3,V4,M3} { ! coll( X, T, Z ), cyclic( Y, Z, X
% 30.09/30.51 , T ), ! eqangle( T, Y, T, Z, X, Y, X, Z ) }.
% 30.09/30.51 substitution0:
% 30.09/30.51 X := X
% 30.09/30.51 Y := T
% 30.09/30.51 Z := Z
% 30.09/30.51 T := Y
% 30.09/30.51 end
% 30.09/30.51 permutation0:
% 30.09/30.51 0 ==> 0
% 30.09/30.51 1 ==> 1
% 30.09/30.51 2 ==> 2
% 30.09/30.51 end
% 30.09/30.51
% 30.09/30.51 resolution: (58906) {G1,W25,D2,L5,V4,M5} { ! cyclic( X, Y, Z, X ), !
% 30.09/30.51 cyclic( X, Y, Z, Y ), ! cyclic( X, Y, Z, T ), cong( X, Y, X, Y ), !
% 30.09/30.51 cyclic( X, Y, Z, T ) }.
% 30.09/30.51 parent0[3]: (43) {G0,W29,D2,L5,V6,M5} I { ! cyclic( X, Y, U, Z ), ! cyclic
% 30.09/30.51 ( X, Y, U, T ), ! cyclic( X, Y, U, W ), ! eqangle( U, X, U, Y, W, Z, W, T
% 30.09/30.51 ), cong( X, Y, Z, T ) }.
% 30.09/30.51 parent1[1]: (40) {G0,W14,D2,L2,V4,M2} I { ! cyclic( X, Y, Z, T ), eqangle(
% 30.09/30.51 Z, X, Z, Y, T, X, T, Y ) }.
% 30.09/30.51 substitution0:
% 30.09/30.51 X := X
% 30.09/30.51 Y := Y
% 30.09/30.51 Z := X
% 30.09/30.51 T := Y
% 30.09/30.51 U := Z
% 30.09/30.51 W := T
% 30.09/30.51 end
% 30.09/30.51 substitution1:
% 30.09/30.51 X := X
% 30.09/30.51 Y := Y
% 30.09/30.51 Z := Z
% 30.09/30.51 T := T
% 30.09/30.51 end
% 30.09/30.51
% 30.09/30.51 factor: (58908) {G1,W20,D2,L4,V3,M4} { ! cyclic( X, Y, Z, X ), ! cyclic( X
% 30.09/30.51 , Y, Z, Y ), cong( X, Y, X, Y ), ! cyclic( X, Y, Z, X ) }.
% 30.09/30.51 parent0[0, 2]: (58906) {G1,W25,D2,L5,V4,M5} { ! cyclic( X, Y, Z, X ), !
% 30.09/30.51 cyclic( X, Y, Z, Y ), ! cyclic( X, Y, Z, T ), cong( X, Y, X, Y ), !
% 30.09/30.51 cyclic( X, Y, Z, T ) }.
% 30.09/30.51 substitution0:
% 30.09/30.51 X := X
% 30.09/30.51 Y := Y
% 30.09/30.51 Z := Z
% 30.09/30.51 T := X
% 30.09/30.51 end
% 30.09/30.51
% 30.09/30.51 subsumption: (931) {G1,W20,D2,L4,V4,M4} R(43,40);f { ! cyclic( X, Y, Z, X )
% 30.09/30.51 , ! cyclic( X, Y, Z, Y ), ! cyclic( X, Y, Z, T ), cong( X, Y, X, Y ) }.
% 30.09/30.51 parent0: (58908) {G1,W20,D2,L4,V3,M4} { ! cyclic( X, Y, Z, X ), ! cyclic(
% 30.09/30.51 X, Y, Z, Y ), cong( X, Y, X, Y ), ! cyclic( X, Y, Z, X ) }.
% 30.09/30.51 substitution0:
% 30.09/30.51 X := X
% 30.09/30.51 Y := Y
% 30.09/30.51 Z := Z
% 30.09/30.51 end
% 30.09/30.51 permutation0:
% 30.09/30.51 0 ==> 0
% 30.09/30.51 1 ==> 1
% 30.09/30.51 2 ==> 3
% 30.09/30.51 3 ==> 0
% 30.09/30.51 end
% 30.09/30.51
% 30.09/30.51 factor: (58913) {G1,W15,D2,L3,V3,M3} { ! cyclic( X, Y, Z, X ), ! cyclic( X
% 30.09/30.51 , Y, Z, Y ), cong( X, Y, X, Y ) }.
% 30.09/30.51 parent0[0, 2]: (931) {G1,W20,D2,L4,V4,M4} R(43,40);f { ! cyclic( X, Y, Z, X
% 30.09/30.51 ), ! cyclic( X, Y, Z, Y ), ! cyclic( X, Y, Z, T ), cong( X, Y, X, Y )
% 30.09/30.51 }.
% 30.09/30.51 substitution0:
% 30.09/30.51 X := X
% 30.09/30.51 Y := Y
% 30.09/30.51 Z := Z
% 30.09/30.51 T := X
% 30.09/30.51 end
% 30.09/30.51
% 30.09/30.51 subsumption: (963) {G2,W15,D2,L3,V3,M3} F(931) { ! cyclic( X, Y, Z, X ), !
% 30.09/30.51 cyclic( X, Y, Z, Y ), cong( X, Y, X, Y ) }.
% 30.09/30.51 parent0: (58913) {G1,W15,D2,L3,V3,M3} { ! cyclic( X, Y, Z, X ), ! cyclic(
% 30.09/30.51 X, Y, Z, Y ), cong( X, Y, X, Y ) }.
% 30.09/30.51 substitution0:
% 30.09/30.51 X := X
% 30.09/30.51 Y := Y
% 30.09/30.51 Z := Z
% 30.09/30.51 end
% 30.09/30.51 permutation0:
% 30.09/30.51 0 ==> 0
% 30.09/30.51 1 ==> 1
% 30.09/30.51 2 ==> 2
% 30.09/30.51 end
% 30.09/30.51
% 30.09/30.51 resolution: (58915) {G3,W5,D2,L1,V0,M1} { para( skol23, skol25, skol23,
% 30.09/30.51 skol25 ) }.
% 30.09/30.51 parent0[0]: (312) {G2,W10,D2,L2,V4,M2} F(300) { ! perp( X, Y, Z, T ), para
% 30.09/30.51 ( X, Y, X, Y ) }.
% 30.09/30.51 parent1[0]: (411) {G4,W5,D2,L1,V0,M1} R(407,6) { perp( skol23, skol25,
% 30.09/30.51 skol20, skol26 ) }.
% 30.09/30.51 substitution0:
% 30.09/30.51 X := skol23
% 30.09/30.51 Y := skol25
% 30.09/30.51 Z := skol20
% 30.09/30.51 T := skol26
% 30.09/30.51 end
% 30.09/30.51 substitution1:
% 30.09/30.51 end
% 30.09/30.51
% 30.09/30.51 subsumption: (20348) {G5,W5,D2,L1,V0,M1} R(312,411) { para( skol23, skol25
% 30.09/30.51 , skol23, skol25 ) }.
% 30.09/30.51 parent0: (58915) {G3,W5,D2,L1,V0,M1} { para( skol23, skol25, skol23,
% 30.09/30.51 skol25 ) }.
% 30.09/30.51 substitution0:
% 30.09/30.51 end
% 30.09/30.51 permutation0:
% 30.09/30.51 0 ==> 0
% 30.09/30.51 end
% 30.09/30.51
% 30.09/30.51 resolution: (58916) {G3,W5,D2,L1,V0,M1} { para( skol23, skol24, skol23,
% 30.09/30.51 skol24 ) }.
% 30.09/30.51 parent0[0]: (312) {G2,W10,D2,L2,V4,M2} F(300) { ! perp( X, Y, Z, T ), para
% 30.09/30.51 ( X, Y, X, Y ) }.
% 30.09/30.51 parent1[0]: (380) {G4,W5,D2,L1,V0,M1} R(374,6) { perp( skol23, skol24,
% 30.09/30.51 skol22, skol26 ) }.
% 30.09/30.51 substitution0:
% 30.09/30.51 X := skol23
% 30.09/30.51 Y := skol24
% 30.09/30.51 Z := skol22
% 30.09/30.51 T := skol26
% 30.09/30.51 end
% 30.09/30.51 substitution1:
% 30.09/30.51 end
% 30.09/30.51
% 30.09/30.51 subsumption: (20350) {G5,W5,D2,L1,V0,M1} R(312,380) { para( skol23, skol24
% 30.09/30.51 , skol23, skol24 ) }.
% 30.09/30.51 parent0: (58916) {G3,W5,D2,L1,V0,M1} { para( skol23, skol24, skol23,
% 30.09/30.51 skol24 ) }.
% 30.09/30.51 substitution0:
% 30.09/30.51 end
% 30.09/30.51 permutation0:
% 30.09/30.51 0 ==> 0
% 30.09/30.51 end
% 30.09/30.51
% 30.09/30.51 resolution: (58917) {G1,W4,D2,L1,V0,M1} { coll( skol23, skol25, skol25 )
% 30.09/30.51 }.
% 30.09/30.51 parent0[0]: (66) {G0,W9,D2,L2,V3,M2} I { ! para( X, Y, X, Z ), coll( X, Y,
% 30.09/30.51 Z ) }.
% 30.09/30.51 parent1[0]: (20348) {G5,W5,D2,L1,V0,M1} R(312,411) { para( skol23, skol25,
% 30.09/30.51 skol23, skol25 ) }.
% 30.09/30.51 substitution0:
% 30.09/30.51 X := skol23
% 30.09/30.51 Y := skol25
% 30.09/30.51 Z := skol25
% 30.09/30.51 end
% 30.09/30.51 substitution1:
% 30.09/30.51 end
% 30.09/30.51
% 30.09/30.51 subsumption: (20883) {G6,W4,D2,L1,V0,M1} R(20348,66) { coll( skol23, skol25
% 30.09/30.51 , skol25 ) }.
% 30.09/30.51 parent0: (58917) {G1,W4,D2,L1,V0,M1} { coll( skol23, skol25, skol25 ) }.
% 30.09/30.51 substitution0:
% 30.09/30.51 end
% 30.09/30.51 permutation0:
% 30.09/30.51 0 ==> 0
% 30.09/30.51 end
% 30.09/30.51
% 30.09/30.51 resolution: (58918) {G2,W4,D2,L1,V0,M1} { coll( skol25, skol25, skol23 )
% 30.09/30.51 }.
% 30.09/30.51 parent0[0]: (139) {G1,W8,D2,L2,V3,M2} F(2) { ! coll( X, Y, Z ), coll( Z, Z
% 30.09/30.51 , X ) }.
% 30.09/30.51 parent1[0]: (20883) {G6,W4,D2,L1,V0,M1} R(20348,66) { coll( skol23, skol25
% 30.09/30.51 , skol25 ) }.
% 30.09/30.51 substitution0:
% 30.09/30.51 X := skol23
% 30.09/30.51 Y := skol25
% 30.09/30.51 Z := skol25
% 30.09/30.51 end
% 30.09/30.51 substitution1:
% 30.09/30.51 end
% 30.09/30.51
% 30.09/30.51 subsumption: (20916) {G7,W4,D2,L1,V0,M1} R(20883,139) { coll( skol25,
% 30.09/30.51 skol25, skol23 ) }.
% 30.09/30.51 parent0: (58918) {G2,W4,D2,L1,V0,M1} { coll( skol25, skol25, skol23 ) }.
% 30.09/30.51 substitution0:
% 30.09/30.51 end
% 30.09/30.51 permutation0:
% 30.09/30.51 0 ==> 0
% 30.09/30.51 end
% 30.09/30.51
% 30.09/30.51 resolution: (58919) {G8,W4,D2,L1,V0,M1} { coll( skol23, skol26, skol25 )
% 30.09/30.51 }.
% 30.09/30.51 parent0[0]: (320) {G7,W8,D2,L2,V1,M2} R(317,2) { ! coll( skol25, skol25, X
% 30.09/30.51 ), coll( X, skol26, skol25 ) }.
% 30.09/30.51 parent1[0]: (20916) {G7,W4,D2,L1,V0,M1} R(20883,139) { coll( skol25, skol25
% 30.09/30.51 , skol23 ) }.
% 30.09/30.51 substitution0:
% 30.09/30.51 X := skol23
% 30.09/30.51 end
% 30.09/30.51 substitution1:
% 30.09/30.51 end
% 30.09/30.51
% 30.09/30.51 subsumption: (20922) {G8,W4,D2,L1,V0,M1} R(20916,320) { coll( skol23,
% 30.09/30.51 skol26, skol25 ) }.
% 30.09/30.51 parent0: (58919) {G8,W4,D2,L1,V0,M1} { coll( skol23, skol26, skol25 ) }.
% 30.09/30.51 substitution0:
% 30.09/30.51 end
% 30.09/30.51 permutation0:
% 30.09/30.51 0 ==> 0
% 30.09/30.51 end
% 30.09/30.51
% 30.09/30.51 resolution: (58920) {G9,W4,D2,L1,V0,M1} { coll( skol26, skol26, skol23 )
% 30.09/30.51 }.
% 30.09/30.51 parent0[1]: (555) {G10,W8,D2,L2,V3,M2} R(539,535) { coll( X, X, Y ), ! coll
% 30.09/30.51 ( Y, X, Z ) }.
% 30.09/30.51 parent1[0]: (20922) {G8,W4,D2,L1,V0,M1} R(20916,320) { coll( skol23, skol26
% 30.09/30.51 , skol25 ) }.
% 30.09/30.51 substitution0:
% 30.09/30.51 X := skol26
% 30.09/30.51 Y := skol23
% 30.09/30.51 Z := skol25
% 30.09/30.51 end
% 30.09/30.51 substitution1:
% 30.09/30.51 end
% 30.09/30.51
% 30.09/30.51 subsumption: (20968) {G11,W4,D2,L1,V0,M1} R(20922,555) { coll( skol26,
% 30.09/30.51 skol26, skol23 ) }.
% 30.09/30.51 parent0: (58920) {G9,W4,D2,L1,V0,M1} { coll( skol26, skol26, skol23 ) }.
% 30.09/30.51 substitution0:
% 30.09/30.51 end
% 30.09/30.51 permutation0:
% 30.09/30.51 0 ==> 0
% 30.09/30.51 end
% 30.09/30.51
% 30.09/30.51 resolution: (58921) {G6,W4,D2,L1,V0,M1} { coll( skol24, skol23, skol26 )
% 30.09/30.51 }.
% 30.09/30.51 parent0[0]: (353) {G5,W8,D2,L2,V1,M2} R(351,2) { ! coll( skol26, skol26, X
% 30.09/30.51 ), coll( skol24, X, skol26 ) }.
% 30.09/30.51 parent1[0]: (20968) {G11,W4,D2,L1,V0,M1} R(20922,555) { coll( skol26,
% 30.09/30.51 skol26, skol23 ) }.
% 30.09/30.51 substitution0:
% 30.09/30.51 X := skol23
% 30.09/30.51 end
% 30.09/30.51 substitution1:
% 30.09/30.51 end
% 30.09/30.51
% 30.09/30.51 subsumption: (22184) {G12,W4,D2,L1,V0,M1} R(353,20968) { coll( skol24,
% 30.09/30.51 skol23, skol26 ) }.
% 30.09/30.51 parent0: (58921) {G6,W4,D2,L1,V0,M1} { coll( skol24, skol23, skol26 ) }.
% 30.09/30.51 substitution0:
% 30.09/30.51 end
% 30.09/30.51 permutation0:
% 30.09/30.51 0 ==> 0
% 30.09/30.51 end
% 30.09/30.51
% 30.09/30.51 resolution: (58922) {G11,W4,D2,L1,V0,M1} { coll( skol23, skol23, skol24 )
% 30.09/30.51 }.
% 30.09/30.51 parent0[1]: (555) {G10,W8,D2,L2,V3,M2} R(539,535) { coll( X, X, Y ), ! coll
% 30.09/30.51 ( Y, X, Z ) }.
% 30.09/30.51 parent1[0]: (22184) {G12,W4,D2,L1,V0,M1} R(353,20968) { coll( skol24,
% 30.09/30.51 skol23, skol26 ) }.
% 30.09/30.51 substitution0:
% 30.09/30.51 X := skol23
% 30.09/30.51 Y := skol24
% 30.09/30.51 Z := skol26
% 30.09/30.51 end
% 30.09/30.51 substitution1:
% 30.09/30.51 end
% 30.09/30.51
% 30.09/30.51 subsumption: (22240) {G13,W4,D2,L1,V0,M1} R(22184,555) { coll( skol23,
% 30.09/30.51 skol23, skol24 ) }.
% 30.09/30.51 parent0: (58922) {G11,W4,D2,L1,V0,M1} { coll( skol23, skol23, skol24 ) }.
% 30.09/30.51 substitution0:
% 30.09/30.51 end
% 30.09/30.51 permutation0:
% 30.09/30.51 0 ==> 0
% 30.09/30.51 end
% 30.09/30.51
% 30.09/30.51 resolution: (58923) {G2,W9,D2,L1,V2,M1} { eqangle( X, Y, skol23, skol24, X
% 30.09/30.51 , Y, skol23, skol24 ) }.
% 30.09/30.51 parent0[0]: (811) {G1,W14,D2,L2,V6,M2} R(39,18) { ! para( X, Y, Z, T ),
% 30.09/30.51 eqangle( U, W, X, Y, U, W, Z, T ) }.
% 30.09/30.51 parent1[0]: (20350) {G5,W5,D2,L1,V0,M1} R(312,380) { para( skol23, skol24,
% 30.09/30.51 skol23, skol24 ) }.
% 30.09/30.51 substitution0:
% 30.09/30.51 X := skol23
% 30.09/30.51 Y := skol24
% 30.09/30.51 Z := skol23
% 30.09/30.51 T := skol24
% 30.09/30.51 U := X
% 30.09/30.51 W := Y
% 30.09/30.51 end
% 30.09/30.51 substitution1:
% 30.09/30.51 end
% 30.09/30.51
% 30.09/30.51 subsumption: (48713) {G6,W9,D2,L1,V2,M1} R(811,20350) { eqangle( X, Y,
% 30.09/30.51 skol23, skol24, X, Y, skol23, skol24 ) }.
% 30.09/30.51 parent0: (58923) {G2,W9,D2,L1,V2,M1} { eqangle( X, Y, skol23, skol24, X, Y
% 30.09/30.51 , skol23, skol24 ) }.
% 30.09/30.51 substitution0:
% 30.09/30.51 X := X
% 30.09/30.51 Y := Y
% 30.09/30.51 end
% 30.09/30.51 permutation0:
% 30.09/30.51 0 ==> 0
% 30.09/30.51 end
% 30.09/30.51
% 30.09/30.51 resolution: (58924) {G2,W14,D2,L2,V1,M2} { cyclic( X, skol24, skol23,
% 30.09/30.51 skol23 ), ! eqangle( skol23, X, skol23, skol24, skol23, X, skol23, skol24
% 30.09/30.51 ) }.
% 30.09/30.51 parent0[0]: (855) {G1,W18,D2,L3,V4,M3} R(42,19) { ! coll( X, Y, Z ), cyclic
% 30.09/30.51 ( T, Z, X, Y ), ! eqangle( Y, T, Y, Z, X, T, X, Z ) }.
% 30.09/30.51 parent1[0]: (22240) {G13,W4,D2,L1,V0,M1} R(22184,555) { coll( skol23,
% 30.09/30.51 skol23, skol24 ) }.
% 30.09/30.51 substitution0:
% 30.09/30.51 X := skol23
% 30.09/30.51 Y := skol23
% 30.09/30.51 Z := skol24
% 30.09/30.51 T := X
% 30.09/30.51 end
% 30.09/30.51 substitution1:
% 30.09/30.51 end
% 30.09/30.51
% 30.09/30.51 resolution: (58925) {G3,W5,D2,L1,V1,M1} { cyclic( X, skol24, skol23,
% 30.09/30.51 skol23 ) }.
% 30.09/30.51 parent0[1]: (58924) {G2,W14,D2,L2,V1,M2} { cyclic( X, skol24, skol23,
% 30.09/30.51 skol23 ), ! eqangle( skol23, X, skol23, skol24, skol23, X, skol23, skol24
% 30.09/30.51 ) }.
% 30.09/30.51 parent1[0]: (48713) {G6,W9,D2,L1,V2,M1} R(811,20350) { eqangle( X, Y,
% 30.09/30.51 skol23, skol24, X, Y, skol23, skol24 ) }.
% 30.09/30.51 substitution0:
% 30.09/30.51 X := X
% 30.09/30.51 end
% 30.09/30.51 substitution1:
% 30.09/30.51 X := skol23
% 30.09/30.51 Y := X
% 30.09/30.51 end
% 30.09/30.51
% 30.09/30.51 subsumption: (51453) {G14,W5,D2,L1,V1,M1} R(855,22240);r(48713) { cyclic( X
% 30.09/30.51 , skol24, skol23, skol23 ) }.
% 30.09/30.51 parent0: (58925) {G3,W5,D2,L1,V1,M1} { cyclic( X, skol24, skol23, skol23 )
% 30.09/30.51 }.
% 30.09/30.51 substitution0:
% 30.09/30.51 X := X
% 30.09/30.51 end
% 30.09/30.51 permutation0:
% 30.09/30.51 0 ==> 0
% 30.09/30.51 end
% 30.09/30.51
% 30.09/30.51 resolution: (58926) {G2,W5,D2,L1,V1,M1} { cyclic( skol24, X, skol23,
% 30.09/30.51 skol23 ) }.
% 30.09/30.51 parent0[1]: (394) {G1,W10,D2,L2,V4,M2} R(15,13) { cyclic( X, Y, Z, T ), !
% 30.09/30.51 cyclic( Y, X, T, Z ) }.
% 30.09/30.51 parent1[0]: (51453) {G14,W5,D2,L1,V1,M1} R(855,22240);r(48713) { cyclic( X
% 30.09/30.51 , skol24, skol23, skol23 ) }.
% 30.09/30.51 substitution0:
% 30.09/30.51 X := skol24
% 30.09/30.51 Y := X
% 30.09/30.51 Z := skol23
% 30.09/30.51 T := skol23
% 30.09/30.51 end
% 30.09/30.51 substitution1:
% 30.09/30.51 X := X
% 30.09/30.51 end
% 30.09/30.51
% 30.09/30.51 subsumption: (51702) {G15,W5,D2,L1,V1,M1} R(51453,394) { cyclic( skol24, X
% 30.09/30.51 , skol23, skol23 ) }.
% 30.09/30.51 parent0: (58926) {G2,W5,D2,L1,V1,M1} { cyclic( skol24, X, skol23, skol23 )
% 30.09/30.51 }.
% 30.09/30.51 substitution0:
% 30.09/30.51 X := X
% 30.09/30.51 end
% 30.09/30.51 permutation0:
% 30.09/30.51 0 ==> 0
% 30.09/30.51 end
% 30.09/30.51
% 30.09/30.51 resolution: (58927) {G3,W5,D2,L1,V1,M1} { cyclic( skol23, X, skol23,
% 30.09/30.51 skol23 ) }.
% 30.09/30.51 parent0[0]: (429) {G2,W10,D2,L2,V4,M2} F(420) { ! cyclic( X, Y, Z, T ),
% 30.09/30.51 cyclic( Z, Y, T, T ) }.
% 30.09/30.51 parent1[0]: (51702) {G15,W5,D2,L1,V1,M1} R(51453,394) { cyclic( skol24, X,
% 30.09/30.51 skol23, skol23 ) }.
% 30.09/30.51 substitution0:
% 30.09/30.51 X := skol24
% 30.09/30.51 Y := X
% 30.09/30.51 Z := skol23
% 30.09/30.51 T := skol23
% 30.09/30.51 end
% 30.09/30.51 substitution1:
% 30.09/30.51 X := X
% 30.09/30.51 end
% 30.09/30.51
% 30.09/30.51 subsumption: (51714) {G16,W5,D2,L1,V1,M1} R(51702,429) { cyclic( skol23, X
% 30.09/30.51 , skol23, skol23 ) }.
% 30.09/30.51 parent0: (58927) {G3,W5,D2,L1,V1,M1} { cyclic( skol23, X, skol23, skol23 )
% 30.09/30.51 }.
% 30.09/30.51 substitution0:
% 30.09/30.51 X := X
% 30.09/30.51 end
% 30.09/30.51 permutation0:
% 30.09/30.51 0 ==> 0
% 30.09/30.51 end
% 30.09/30.51
% 30.09/30.51 resolution: (58928) {G2,W5,D2,L1,V1,M1} { cyclic( skol23, skol23, X,
% 30.09/30.51 skol23 ) }.
% 30.09/30.51 parent0[1]: (392) {G1,W10,D2,L2,V4,M2} R(15,14) { cyclic( X, Y, Z, T ), !
% 30.09/30.51 cyclic( Y, Z, X, T ) }.
% 30.09/30.51 parent1[0]: (51714) {G16,W5,D2,L1,V1,M1} R(51702,429) { cyclic( skol23, X,
% 30.09/30.51 skol23, skol23 ) }.
% 30.09/30.51 substitution0:
% 30.09/30.51 X := skol23
% 30.09/30.51 Y := skol23
% 30.09/30.51 Z := X
% 30.09/30.51 T := skol23
% 30.09/30.51 end
% 30.09/30.51 substitution1:
% 30.09/30.51 X := X
% 30.09/30.51 end
% 30.09/30.51
% 30.09/30.51 subsumption: (51736) {G17,W5,D2,L1,V1,M1} R(51714,392) { cyclic( skol23,
% 30.09/30.51 skol23, X, skol23 ) }.
% 30.09/30.51 parent0: (58928) {G2,W5,D2,L1,V1,M1} { cyclic( skol23, skol23, X, skol23 )
% 30.09/30.51 }.
% 30.09/30.51 substitution0:
% 30.09/30.51 X := X
% 30.09/30.51 end
% 30.09/30.51 permutation0:
% 30.09/30.51 0 ==> 0
% 30.09/30.51 end
% 30.09/30.51
% 30.09/30.51 resolution: (58929) {G2,W5,D2,L1,V1,M1} { cyclic( skol23, skol23, skol23,
% 30.09/30.51 X ) }.
% 30.09/30.51 parent0[0]: (376) {G1,W10,D2,L2,V4,M2} R(14,13) { ! cyclic( X, Y, Z, T ),
% 30.09/30.51 cyclic( X, Z, T, Y ) }.
% 30.09/30.51 parent1[0]: (51714) {G16,W5,D2,L1,V1,M1} R(51702,429) { cyclic( skol23, X,
% 30.09/30.51 skol23, skol23 ) }.
% 30.09/30.51 substitution0:
% 30.09/30.51 X := skol23
% 30.09/30.51 Y := X
% 30.09/30.51 Z := skol23
% 30.09/30.51 T := skol23
% 30.09/30.51 end
% 30.09/30.51 substitution1:
% 30.09/30.51 X := X
% 30.09/30.51 end
% 30.09/30.51
% 30.09/30.51 subsumption: (51737) {G17,W5,D2,L1,V1,M1} R(51714,376) { cyclic( skol23,
% 30.09/30.51 skol23, skol23, X ) }.
% 30.09/30.51 parent0: (58929) {G2,W5,D2,L1,V1,M1} { cyclic( skol23, skol23, skol23, X )
% 30.09/30.51 }.
% 30.09/30.51 substitution0:
% 30.09/30.51 X := X
% 30.09/30.51 end
% 30.09/30.51 permutation0:
% 30.09/30.51 0 ==> 0
% 30.09/30.51 end
% 30.09/30.51
% 30.09/30.51 resolution: (58931) {G2,W10,D2,L2,V2,M2} { ! cyclic( skol23, skol23,
% 30.09/30.51 skol23, X ), cyclic( skol23, skol23, X, Y ) }.
% 30.09/30.51 parent0[2]: (425) {G1,W15,D2,L3,V5,M3} R(16,13) { ! cyclic( X, Y, Z, T ),
% 30.09/30.51 cyclic( Y, Z, T, U ), ! cyclic( X, Y, U, Z ) }.
% 30.09/30.51 parent1[0]: (51736) {G17,W5,D2,L1,V1,M1} R(51714,392) { cyclic( skol23,
% 30.09/30.51 skol23, X, skol23 ) }.
% 30.09/30.51 substitution0:
% 30.09/30.51 X := skol23
% 30.09/30.51 Y := skol23
% 30.09/30.51 Z := skol23
% 30.09/30.51 T := X
% 30.09/30.51 U := Y
% 30.09/30.51 end
% 30.09/30.51 substitution1:
% 30.09/30.51 X := Y
% 30.09/30.51 end
% 30.09/30.51
% 30.09/30.51 resolution: (58932) {G3,W5,D2,L1,V2,M1} { cyclic( skol23, skol23, X, Y )
% 30.09/30.51 }.
% 30.09/30.51 parent0[0]: (58931) {G2,W10,D2,L2,V2,M2} { ! cyclic( skol23, skol23,
% 30.09/30.51 skol23, X ), cyclic( skol23, skol23, X, Y ) }.
% 30.09/30.51 parent1[0]: (51737) {G17,W5,D2,L1,V1,M1} R(51714,376) { cyclic( skol23,
% 30.09/30.51 skol23, skol23, X ) }.
% 30.09/30.51 substitution0:
% 30.09/30.51 X := X
% 30.09/30.51 Y := Y
% 30.09/30.51 end
% 30.09/30.51 substitution1:
% 30.09/30.51 X := X
% 30.09/30.51 end
% 30.09/30.51
% 30.09/30.51 subsumption: (51742) {G18,W5,D2,L1,V2,M1} R(51736,425);r(51737) { cyclic(
% 30.09/30.51 skol23, skol23, X, Y ) }.
% 30.09/30.51 parent0: (58932) {G3,W5,D2,L1,V2,M1} { cyclic( skol23, skol23, X, Y ) }.
% 30.09/30.51 substitution0:
% 30.09/30.51 X := X
% 30.09/30.51 Y := Y
% 30.09/30.51 end
% 30.09/30.51 permutation0:
% 30.09/30.51 0 ==> 0
% 30.09/30.51 end
% 30.09/30.51
% 30.09/30.51 resolution: (58933) {G2,W10,D2,L2,V3,M2} { cyclic( skol23, X, Y, Z ), !
% 30.09/30.51 cyclic( skol23, skol23, Z, X ) }.
% 30.09/30.51 parent0[0]: (425) {G1,W15,D2,L3,V5,M3} R(16,13) { ! cyclic( X, Y, Z, T ),
% 30.09/30.51 cyclic( Y, Z, T, U ), ! cyclic( X, Y, U, Z ) }.
% 30.09/30.51 parent1[0]: (51742) {G18,W5,D2,L1,V2,M1} R(51736,425);r(51737) { cyclic(
% 30.09/30.51 skol23, skol23, X, Y ) }.
% 30.09/30.51 substitution0:
% 30.09/30.51 X := skol23
% 30.09/30.51 Y := skol23
% 30.09/30.51 Z := X
% 30.09/30.51 T := Y
% 30.09/30.51 U := Z
% 30.09/30.51 end
% 30.09/30.51 substitution1:
% 30.09/30.51 X := X
% 30.09/30.51 Y := Y
% 30.09/30.51 end
% 30.09/30.51
% 30.09/30.51 resolution: (58935) {G3,W5,D2,L1,V3,M1} { cyclic( skol23, X, Y, Z ) }.
% 30.09/30.51 parent0[1]: (58933) {G2,W10,D2,L2,V3,M2} { cyclic( skol23, X, Y, Z ), !
% 30.09/30.51 cyclic( skol23, skol23, Z, X ) }.
% 30.09/30.51 parent1[0]: (51742) {G18,W5,D2,L1,V2,M1} R(51736,425);r(51737) { cyclic(
% 30.09/30.51 skol23, skol23, X, Y ) }.
% 30.09/30.51 substitution0:
% 30.09/30.51 X := X
% 30.09/30.51 Y := Y
% 30.09/30.51 Z := Z
% 30.09/30.51 end
% 30.09/30.51 substitution1:
% 30.09/30.51 X := Z
% 30.09/30.51 Y := X
% 30.09/30.51 end
% 30.09/30.51
% 30.09/30.51 subsumption: (52016) {G19,W5,D2,L1,V3,M1} R(51742,425);r(51742) { cyclic(
% 30.09/30.51 skol23, X, Y, Z ) }.
% 30.09/30.51 parent0: (58935) {G3,W5,D2,L1,V3,M1} { cyclic( skol23, X, Y, Z ) }.
% 30.09/30.51 substitution0:
% 30.09/30.51 X := X
% 30.09/30.51 Y := Y
% 30.09/30.51 Z := Z
% 30.09/30.51 end
% 30.09/30.51 permutation0:
% 30.09/30.51 0 ==> 0
% 30.09/30.51 end
% 30.09/30.51
% 30.09/30.51 resolution: (58936) {G2,W10,D2,L2,V4,M2} { cyclic( X, Y, Z, T ), ! cyclic
% 30.09/30.51 ( skol23, X, T, Y ) }.
% 30.09/30.51 parent0[0]: (425) {G1,W15,D2,L3,V5,M3} R(16,13) { ! cyclic( X, Y, Z, T ),
% 30.09/30.51 cyclic( Y, Z, T, U ), ! cyclic( X, Y, U, Z ) }.
% 30.09/30.51 parent1[0]: (52016) {G19,W5,D2,L1,V3,M1} R(51742,425);r(51742) { cyclic(
% 30.09/30.51 skol23, X, Y, Z ) }.
% 30.09/30.51 substitution0:
% 30.09/30.51 X := skol23
% 30.09/30.51 Y := X
% 30.09/30.51 Z := Y
% 30.09/30.51 T := Z
% 30.09/30.51 U := T
% 30.09/30.51 end
% 30.09/30.51 substitution1:
% 30.09/30.51 X := X
% 30.09/30.51 Y := Y
% 30.09/30.51 Z := Z
% 30.09/30.51 end
% 30.09/30.51
% 30.09/30.51 resolution: (58938) {G3,W5,D2,L1,V4,M1} { cyclic( X, Y, Z, T ) }.
% 30.09/30.51 parent0[1]: (58936) {G2,W10,D2,L2,V4,M2} { cyclic( X, Y, Z, T ), ! cyclic
% 30.09/30.51 ( skol23, X, T, Y ) }.
% 30.09/30.51 parent1[0]: (52016) {G19,W5,D2,L1,V3,M1} R(51742,425);r(51742) { cyclic(
% 30.09/30.51 skol23, X, Y, Z ) }.
% 30.09/30.51 substitution0:
% 30.09/30.51 X := X
% 30.09/30.51 Y := Y
% 30.09/30.51 Z := Z
% 30.09/30.51 T := T
% 30.09/30.51 end
% 30.09/30.51 substitution1:
% 30.09/30.51 X := X
% 30.09/30.51 Y := T
% 30.09/30.51 Z := Y
% 30.09/30.51 end
% 30.09/30.51
% 30.09/30.51 subsumption: (52035) {G20,W5,D2,L1,V4,M1} R(52016,425);r(52016) { cyclic( X
% 30.09/30.51 , Y, Z, T ) }.
% 30.09/30.51 parent0: (58938) {G3,W5,D2,L1,V4,M1} { cyclic( X, Y, Z, T ) }.
% 30.09/30.51 substitution0:
% 30.09/30.51 X := X
% 30.09/30.51 Y := Y
% 30.09/30.51 Z := Z
% 30.09/30.51 T := T
% 30.09/30.51 end
% 30.09/30.51 permutation0:
% 30.09/30.51 0 ==> 0
% 30.09/30.51 end
% 30.09/30.51
% 30.09/30.51 resolution: (58941) {G3,W10,D2,L2,V3,M2} { ! cyclic( X, Y, Z, Y ), cong( X
% 30.09/30.51 , Y, X, Y ) }.
% 30.09/30.51 parent0[0]: (963) {G2,W15,D2,L3,V3,M3} F(931) { ! cyclic( X, Y, Z, X ), !
% 30.09/30.51 cyclic( X, Y, Z, Y ), cong( X, Y, X, Y ) }.
% 30.09/30.51 parent1[0]: (52035) {G20,W5,D2,L1,V4,M1} R(52016,425);r(52016) { cyclic( X
% 30.09/30.51 , Y, Z, T ) }.
% 30.09/30.51 substitution0:
% 30.09/30.51 X := X
% 30.09/30.51 Y := Y
% 30.09/30.51 Z := Z
% 30.09/30.51 end
% 30.09/30.51 substitution1:
% 30.09/30.51 X := X
% 30.09/30.51 Y := Y
% 30.09/30.51 Z := Z
% 30.09/30.51 T := X
% 30.09/30.51 end
% 30.09/30.51
% 30.09/30.51 resolution: (58943) {G4,W5,D2,L1,V2,M1} { cong( X, Y, X, Y ) }.
% 30.09/30.51 parent0[0]: (58941) {G3,W10,D2,L2,V3,M2} { ! cyclic( X, Y, Z, Y ), cong( X
% 30.09/30.51 , Y, X, Y ) }.
% 30.09/30.51 parent1[0]: (52035) {G20,W5,D2,L1,V4,M1} R(52016,425);r(52016) { cyclic( X
% 30.09/30.51 , Y, Z, T ) }.
% 30.09/30.51 substitution0:
% 30.09/30.51 X := X
% 30.09/30.51 Y := Y
% 30.09/30.51 Z := Z
% 30.09/30.51 end
% 30.09/30.51 substitution1:
% 30.09/30.51 X := X
% 30.09/30.51 Y := Y
% 30.09/30.51 Z := Z
% 30.09/30.51 T := Y
% 30.09/30.51 end
% 30.09/30.51
% 30.09/30.51 subsumption: (57723) {G21,W5,D2,L1,V2,M1} S(963);r(52035);r(52035) { cong(
% 30.09/30.51 X, Y, X, Y ) }.
% 30.09/30.51 parent0: (58943) {G4,W5,D2,L1,V2,M1} { cong( X, Y, X, Y ) }.
% 30.09/30.51 substitution0:
% 30.09/30.51 X := X
% 30.09/30.51 Y := Y
% 30.09/30.51 end
% 30.09/30.51 permutation0:
% 30.09/30.51 0 ==> 0
% 30.09/30.51 end
% 30.09/30.51
% 30.09/30.51 resolution: (58944) {G1,W10,D2,L2,V3,M2} { ! cong( X, Z, X, Z ), perp( X,
% 30.09/30.51 X, Y, Z ) }.
% 30.09/30.51 parent0[0]: (56) {G0,W15,D2,L3,V4,M3} I { ! cong( X, Z, Y, Z ), ! cong( X,
% 30.09/30.51 T, Y, T ), perp( X, Y, Z, T ) }.
% 30.09/30.51 parent1[0]: (57723) {G21,W5,D2,L1,V2,M1} S(963);r(52035);r(52035) { cong( X
% 30.09/30.51 , Y, X, Y ) }.
% 30.09/30.51 substitution0:
% 30.09/30.51 X := X
% 30.09/30.51 Y := X
% 30.09/30.51 Z := Y
% 30.09/30.51 T := Z
% 30.09/30.51 end
% 30.09/30.51 substitution1:
% 30.09/30.51 X := X
% 30.09/30.51 Y := Y
% 30.09/30.51 end
% 30.09/30.51
% 30.09/30.51 resolution: (58946) {G2,W5,D2,L1,V3,M1} { perp( X, X, Z, Y ) }.
% 30.09/30.51 parent0[0]: (58944) {G1,W10,D2,L2,V3,M2} { ! cong( X, Z, X, Z ), perp( X,
% 30.09/30.51 X, Y, Z ) }.
% 30.09/30.51 parent1[0]: (57723) {G21,W5,D2,L1,V2,M1} S(963);r(52035);r(52035) { cong( X
% 30.09/30.51 , Y, X, Y ) }.
% 30.09/30.51 substitution0:
% 30.09/30.51 X := X
% 30.09/30.51 Y := Z
% 30.09/30.51 Z := Y
% 30.09/30.51 end
% 30.09/30.51 substitution1:
% 30.09/30.51 X := X
% 30.09/30.51 Y := Y
% 30.09/30.51 end
% 30.09/30.51
% 30.09/30.51 subsumption: (57740) {G22,W5,D2,L1,V3,M1} R(57723,56);r(57723) { perp( X, X
% 30.09/30.51 , Z, Y ) }.
% 30.09/30.51 parent0: (58946) {G2,W5,D2,L1,V3,M1} { perp( X, X, Z, Y ) }.
% 30.09/30.51 substitution0:
% 30.09/30.51 X := X
% 30.09/30.51 Y := Y
% 30.09/30.51 Z := Z
% 30.09/30.51 end
% 30.09/30.51 permutation0:
% 30.09/30.51 0 ==> 0
% 30.09/30.51 end
% 30.09/30.51
% 30.09/30.51 resolution: (58947) {G2,W10,D2,L2,V5,M2} { para( T, U, Y, Z ), ! perp( X,
% 30.09/30.51 X, T, U ) }.
% 30.09/30.51 parent0[0]: (299) {G1,W15,D2,L3,V6,M3} R(8,7) { ! perp( X, Y, Z, T ), para
% 30.09/30.51 ( U, W, Z, T ), ! perp( X, Y, U, W ) }.
% 30.09/30.51 parent1[0]: (57740) {G22,W5,D2,L1,V3,M1} R(57723,56);r(57723) { perp( X, X
% 30.09/30.51 , Z, Y ) }.
% 30.09/30.51 substitution0:
% 30.09/30.51 X := X
% 30.09/30.51 Y := X
% 30.09/30.51 Z := Y
% 30.09/30.51 T := Z
% 30.09/30.51 U := T
% 30.09/30.51 W := U
% 30.09/30.51 end
% 30.09/30.51 substitution1:
% 30.09/30.51 X := X
% 30.09/30.51 Y := Z
% 30.09/30.51 Z := Y
% 30.09/30.51 end
% 30.09/30.51
% 30.09/30.51 resolution: (58949) {G3,W5,D2,L1,V4,M1} { para( X, Y, Z, T ) }.
% 30.09/30.51 parent0[1]: (58947) {G2,W10,D2,L2,V5,M2} { para( T, U, Y, Z ), ! perp( X,
% 30.09/30.51 X, T, U ) }.
% 30.09/30.51 parent1[0]: (57740) {G22,W5,D2,L1,V3,M1} R(57723,56);r(57723) { perp( X, X
% 30.09/30.51 , Z, Y ) }.
% 30.09/30.51 substitution0:
% 30.09/30.51 X := U
% 30.09/30.51 Y := Z
% 30.09/30.51 Z := T
% 30.09/30.51 T := X
% 30.09/30.51 U := Y
% 30.09/30.51 end
% 30.09/30.51 substitution1:
% 30.09/30.51 X := U
% 30.09/30.51 Y := Y
% 30.09/30.51 Z := X
% 30.09/30.51 end
% 30.09/30.51
% 30.09/30.51 subsumption: (57773) {G23,W5,D2,L1,V4,M1} R(57740,299);r(57740) { para( X,
% 30.09/30.51 Y, Z, T ) }.
% 30.09/30.51 parent0: (58949) {G3,W5,D2,L1,V4,M1} { para( X, Y, Z, T ) }.
% 30.09/30.51 substitution0:
% 30.09/30.51 X := X
% 30.09/30.51 Y := Y
% 30.09/30.51 Z := Z
% 30.09/30.51 T := T
% 30.09/30.51 end
% 30.09/30.51 permutation0:
% 30.09/30.51 0 ==> 0
% 30.09/30.51 end
% 30.09/30.51
% 30.09/30.51 resolution: (58950) {G2,W9,D2,L1,V6,M1} { eqangle( X, Y, Z, T, U, W, Z, T
% 30.09/30.51 ) }.
% 30.09/30.51 parent0[1]: (815) {G1,W14,D2,L2,V6,M2} R(39,3) { eqangle( X, Y, Z, T, U, W
% 30.09/30.51 , Z, T ), ! para( X, Y, W, U ) }.
% 30.09/30.51 parent1[0]: (57773) {G23,W5,D2,L1,V4,M1} R(57740,299);r(57740) { para( X, Y
% 30.09/30.51 , Z, T ) }.
% 30.09/30.51 substitution0:
% 30.09/30.51 X := X
% 30.09/30.51 Y := Y
% 30.09/30.51 Z := Z
% 30.09/30.51 T := T
% 30.09/30.51 U := U
% 30.09/30.51 W := W
% 30.09/30.51 end
% 30.09/30.51 substitution1:
% 30.09/30.51 X := X
% 30.09/30.51 Y := Y
% 30.09/30.51 Z := W
% 30.09/30.51 T := U
% 30.09/30.51 end
% 30.09/30.51
% 30.09/30.51 subsumption: (57796) {G24,W9,D2,L1,V6,M1} S(815);r(57773) { eqangle( X, Y,
% 30.09/30.51 Z, T, U, W, Z, T ) }.
% 30.09/30.51 parent0: (58950) {G2,W9,D2,L1,V6,M1} { eqangle( X, Y, Z, T, U, W, Z, T )
% 30.09/30.51 }.
% 30.09/30.51 substitution0:
% 30.09/30.51 X := X
% 30.09/30.51 Y := Y
% 30.09/30.51 Z := Z
% 30.09/30.51 T := T
% 30.09/30.51 U := U
% 30.09/30.51 W := W
% 30.09/30.51 end
% 30.09/30.51 permutation0:
% 30.09/30.51 0 ==> 0
% 30.09/30.51 end
% 30.09/30.51
% 30.09/30.51 resolution: (58951) {G2,W9,D2,L1,V6,M1} { eqangle( X, Y, Z, T, U, W, U, W
% 30.09/30.51 ) }.
% 30.09/30.51 parent0[0]: (809) {G1,W14,D2,L2,V6,M2} R(39,20) { ! para( X, Y, Z, T ),
% 30.09/30.51 eqangle( X, Y, Z, T, U, W, U, W ) }.
% 30.09/30.51 parent1[0]: (57773) {G23,W5,D2,L1,V4,M1} R(57740,299);r(57740) { para( X, Y
% 30.09/30.51 , Z, T ) }.
% 30.09/30.51 substitution0:
% 30.09/30.51 X := X
% 30.09/30.51 Y := Y
% 30.09/30.51 Z := Z
% 30.09/30.51 T := T
% 30.09/30.51 U := U
% 30.09/30.51 W := W
% 30.09/30.51 end
% 30.09/30.51 substitution1:
% 30.09/30.51 X := X
% 30.09/30.51 Y := Y
% 30.09/30.51 Z := Z
% 30.09/30.51 T := T
% 30.09/30.51 end
% 30.09/30.51
% 30.09/30.51 subsumption: (57798) {G24,W9,D2,L1,V6,M1} S(809);r(57773) { eqangle( X, Y,
% 30.09/30.51 Z, T, U, W, U, W ) }.
% 30.09/30.51 parent0: (58951) {G2,W9,D2,L1,V6,M1} { eqangle( X, Y, Z, T, U, W, U, W )
% 30.09/30.51 }.
% 30.09/30.51 substitution0:
% 30.09/30.51 X := X
% 30.09/30.51 Y := Y
% 30.09/30.51 Z := Z
% 30.09/30.51 T := T
% 30.09/30.51 U := U
% 30.09/30.51 W := W
% 30.09/30.51 end
% 30.09/30.51 permutation0:
% 30.09/30.51 0 ==> 0
% 30.09/30.51 end
% 30.09/30.51
% 30.09/30.51 resolution: (58952) {G2,W9,D2,L1,V6,M1} { eqangle( Z, T, Z, T, X, Y, U, W
% 30.09/30.51 ) }.
% 30.09/30.51 parent0[0]: (476) {G1,W18,D2,L2,V8,M2} R(20,19) { ! eqangle( X, Y, Z, T, U
% 30.09/30.51 , W, V0, V1 ), eqangle( Z, T, V0, V1, X, Y, U, W ) }.
% 30.09/30.51 parent1[0]: (57796) {G24,W9,D2,L1,V6,M1} S(815);r(57773) { eqangle( X, Y, Z
% 30.09/30.51 , T, U, W, Z, T ) }.
% 30.09/30.51 substitution0:
% 30.09/30.51 X := X
% 30.09/30.51 Y := Y
% 30.09/30.51 Z := Z
% 30.09/30.51 T := T
% 30.09/30.51 U := U
% 30.09/30.51 W := W
% 30.09/30.51 V0 := Z
% 30.09/30.51 V1 := T
% 30.09/30.51 end
% 30.09/30.51 substitution1:
% 30.09/30.51 X := X
% 30.09/30.51 Y := Y
% 30.09/30.51 Z := Z
% 30.09/30.51 T := T
% 30.09/30.51 U := U
% 30.09/30.51 W := W
% 30.09/30.51 end
% 30.09/30.51
% 30.09/30.51 subsumption: (57995) {G25,W9,D2,L1,V6,M1} R(57796,476) { eqangle( X, Y, X,
% 30.09/30.51 Y, Z, T, U, W ) }.
% 30.09/30.51 parent0: (58952) {G2,W9,D2,L1,V6,M1} { eqangle( Z, T, Z, T, X, Y, U, W )
% 30.09/30.51 }.
% 30.09/30.51 substitution0:
% 30.09/30.51 X := Z
% 30.09/30.51 Y := T
% 30.09/30.51 Z := X
% 30.09/30.51 T := Y
% 30.09/30.51 U := U
% 30.09/30.51 W := W
% 30.09/30.51 end
% 30.09/30.51 permutation0:
% 30.09/30.51 0 ==> 0
% 30.09/30.51 end
% 30.09/30.51
% 30.09/30.51 resolution: (58953) {G2,W18,D2,L2,V10,M2} { eqangle( V0, V1, V2, V3, Z, T
% 30.09/30.51 , U, W ), ! eqangle( V1, V0, V2, V3, X, Y, X, Y ) }.
% 30.09/30.51 parent0[0]: (494) {G1,W27,D2,L3,V12,M3} R(21,17) { ! eqangle( X, Y, Z, T, U
% 30.09/30.51 , W, V0, V1 ), eqangle( V2, V3, V4, V5, U, W, V0, V1 ), ! eqangle( V3, V2
% 30.09/30.51 , V4, V5, X, Y, Z, T ) }.
% 30.09/30.51 parent1[0]: (57995) {G25,W9,D2,L1,V6,M1} R(57796,476) { eqangle( X, Y, X, Y
% 30.09/30.51 , Z, T, U, W ) }.
% 30.09/30.51 substitution0:
% 30.09/30.51 X := X
% 30.09/30.51 Y := Y
% 30.09/30.51 Z := X
% 30.09/30.51 T := Y
% 30.09/30.51 U := Z
% 30.09/30.51 W := T
% 30.09/30.51 V0 := U
% 30.09/30.51 V1 := W
% 30.09/30.51 V2 := V0
% 30.09/30.51 V3 := V1
% 30.09/30.51 V4 := V2
% 30.09/30.51 V5 := V3
% 30.09/30.51 end
% 30.09/30.51 substitution1:
% 30.09/30.51 X := X
% 30.09/30.51 Y := Y
% 30.09/30.51 Z := Z
% 30.09/30.51 T := T
% 30.09/30.51 U := U
% 30.09/30.51 W := W
% 30.09/30.51 end
% 30.09/30.51
% 30.09/30.51 resolution: (58955) {G3,W9,D2,L1,V8,M1} { eqangle( X, Y, Z, T, U, W, V0,
% 30.09/30.51 V1 ) }.
% 30.09/30.51 parent0[1]: (58953) {G2,W18,D2,L2,V10,M2} { eqangle( V0, V1, V2, V3, Z, T
% 30.09/30.51 , U, W ), ! eqangle( V1, V0, V2, V3, X, Y, X, Y ) }.
% 30.09/30.51 parent1[0]: (57798) {G24,W9,D2,L1,V6,M1} S(809);r(57773) { eqangle( X, Y, Z
% 30.09/30.51 , T, U, W, U, W ) }.
% 30.09/30.51 substitution0:
% 30.09/30.51 X := V2
% 30.09/30.51 Y := V3
% 30.09/30.51 Z := U
% 30.09/30.51 T := W
% 30.09/30.51 U := V0
% 30.09/30.51 W := V1
% 30.09/30.51 V0 := X
% 30.09/30.51 V1 := Y
% 30.09/30.51 V2 := Z
% 30.09/30.51 V3 := T
% 30.09/30.51 end
% 30.09/30.51 substitution1:
% 30.09/30.51 X := Y
% 30.09/30.51 Y := X
% 30.09/30.51 Z := Z
% 30.09/30.51 T := T
% 30.09/30.51 U := V2
% 30.09/30.51 W := V3
% 30.09/30.51 end
% 30.09/30.51
% 30.09/30.51 subsumption: (58007) {G26,W9,D2,L1,V8,M1} R(57995,494);r(57798) { eqangle(
% 30.09/30.51 X, Y, Z, T, U, W, V0, V1 ) }.
% 30.09/30.51 parent0: (58955) {G3,W9,D2,L1,V8,M1} { eqangle( X, Y, Z, T, U, W, V0, V1 )
% 30.09/30.51 }.
% 30.09/30.51 substitution0:
% 30.09/30.51 X := X
% 30.09/30.51 Y := Y
% 30.09/30.51 Z := Z
% 30.09/30.51 T := T
% 30.09/30.51 U := U
% 30.09/30.51 W := W
% 30.09/30.51 V0 := V0
% 30.09/30.51 V1 := V1
% 30.09/30.51 end
% 30.09/30.51 permutation0:
% 30.09/30.51 0 ==> 0
% 30.09/30.51 end
% 30.09/30.51
% 30.09/30.51 resolution: (58956) {G1,W6,D2,L1,V5,M1} { ! alpha6( X, Y, Z, T, U ) }.
% 30.09/30.51 parent0[1]: (137) {G0,W15,D2,L2,V5,M2} I;f { ! alpha6( X, Y, Z, T, U ), !
% 30.09/30.51 eqangle( T, Z, Z, U, Y, Z, Z, X ) }.
% 30.09/30.51 parent1[0]: (58007) {G26,W9,D2,L1,V8,M1} R(57995,494);r(57798) { eqangle( X
% 30.09/30.51 , Y, Z, T, U, W, V0, V1 ) }.
% 30.09/30.51 substitution0:
% 30.09/30.51 X := X
% 30.09/30.51 Y := Y
% 30.09/30.51 Z := Z
% 30.09/30.51 T := T
% 30.09/30.51 U := U
% 30.09/30.51 end
% 30.09/30.51 substitution1:
% 30.09/30.51 X := T
% 30.09/30.51 Y := Z
% 30.09/30.51 Z := Z
% 30.09/30.51 T := U
% 30.09/30.51 U := Y
% 30.09/30.51 W := Z
% 30.09/30.51 V0 := Z
% 30.09/30.51 V1 := X
% 30.09/30.51 end
% 30.09/30.51
% 30.09/30.51 subsumption: (58012) {G27,W6,D2,L1,V5,M1} R(58007,137) { ! alpha6( X, Y, Z
% 30.09/30.51 , T, U ) }.
% 30.09/30.51 parent0: (58956) {G1,W6,D2,L1,V5,M1} { ! alpha6( X, Y, Z, T, U ) }.
% 30.09/30.51 substitution0:
% 30.09/30.51 X := X
% 30.09/30.51 Y := Y
% 30.09/30.51 Z := Z
% 30.09/30.51 T := T
% 30.09/30.51 U := U
% 30.09/30.51 end
% 30.09/30.51 permutation0:
% 30.09/30.51 0 ==> 0
% 30.09/30.51 end
% 30.09/30.51
% 30.09/30.51 resolution: (58957) {G1,W12,D2,L2,V5,M2} { ! alpha5( X, Y, Z, T, U ),
% 30.09/30.51 alpha6( X, Y, Z, T, U ) }.
% 30.09/30.51 parent0[2]: (133) {G0,W21,D2,L3,V5,M3} I { ! alpha5( X, Y, Z, T, U ),
% 30.09/30.51 alpha6( X, Y, Z, T, U ), ! eqangle( T, Z, Z, U, Z, Y, Y, X ) }.
% 30.09/30.51 parent1[0]: (58007) {G26,W9,D2,L1,V8,M1} R(57995,494);r(57798) { eqangle( X
% 30.09/30.51 , Y, Z, T, U, W, V0, V1 ) }.
% 30.09/30.51 substitution0:
% 30.09/30.51 X := X
% 30.09/30.51 Y := Y
% 30.09/30.51 Z := Z
% 30.09/30.51 T := T
% 30.09/30.51 U := U
% 30.09/30.51 end
% 30.09/30.51 substitution1:
% 30.09/30.51 X := T
% 30.09/30.51 Y := Z
% 30.09/30.51 Z := Z
% 30.09/30.51 T := U
% 30.09/30.51 U := Z
% 30.09/30.51 W := Y
% 30.09/30.51 V0 := Y
% 30.09/30.51 V1 := X
% 30.09/30.51 end
% 30.09/30.51
% 30.09/30.51 resolution: (58958) {G2,W6,D2,L1,V5,M1} { ! alpha5( X, Y, Z, T, U ) }.
% 30.09/30.51 parent0[0]: (58012) {G27,W6,D2,L1,V5,M1} R(58007,137) { ! alpha6( X, Y, Z,
% 30.09/30.51 T, U ) }.
% 30.09/30.51 parent1[1]: (58957) {G1,W12,D2,L2,V5,M2} { ! alpha5( X, Y, Z, T, U ),
% 30.09/30.51 alpha6( X, Y, Z, T, U ) }.
% 30.09/30.51 substitution0:
% 30.09/30.51 X := X
% 30.09/30.51 Y := Y
% 30.09/30.51 Z := Z
% 30.09/30.51 T := T
% 30.09/30.51 U := U
% 30.09/30.51 end
% 30.09/30.51 substitution1:
% 30.09/30.51 X := X
% 30.09/30.51 Y := Y
% 30.09/30.51 Z := Z
% 30.09/30.51 T := T
% 30.09/30.51 U := U
% 30.09/30.51 end
% 30.09/30.51
% 30.09/30.51 subsumption: (58013) {G28,W6,D2,L1,V5,M1} R(58007,133);r(58012) { ! alpha5
% 30.09/30.51 ( X, Y, Z, T, U ) }.
% 30.09/30.51 parent0: (58958) {G2,W6,D2,L1,V5,M1} { ! alpha5( X, Y, Z, T, U ) }.
% 30.09/30.51 substitution0:
% 30.09/30.51 X := X
% 30.09/30.51 Y := Y
% 30.09/30.51 Z := Z
% 30.09/30.51 T := T
% 30.09/30.51 U := U
% 30.09/30.51 end
% 30.09/30.51 permutation0:
% 30.09/30.51 0 ==> 0
% 30.09/30.51 end
% 30.09/30.51
% 30.09/30.51 resolution: (58959) {G1,W12,D2,L2,V5,M2} { ! alpha4( X, Y, Z, T, U ),
% 30.09/30.51 alpha5( X, Y, Z, T, U ) }.
% 30.09/30.51 parent0[2]: (129) {G0,W21,D2,L3,V5,M3} I { ! alpha4( X, Y, Z, T, U ),
% 30.09/30.51 alpha5( X, Y, Z, T, U ), ! eqangle( T, Z, Z, U, Z, Y, Y, X ) }.
% 30.09/30.51 parent1[0]: (58007) {G26,W9,D2,L1,V8,M1} R(57995,494);r(57798) { eqangle( X
% 30.09/30.51 , Y, Z, T, U, W, V0, V1 ) }.
% 30.09/30.51 substitution0:
% 30.09/30.51 X := X
% 30.09/30.51 Y := Y
% 30.09/30.51 Z := Z
% 30.09/30.51 T := T
% 30.09/30.51 U := U
% 30.09/30.51 end
% 30.09/30.51 substitution1:
% 30.09/30.51 X := T
% 30.09/30.51 Y := Z
% 30.09/30.51 Z := Z
% 30.09/30.51 T := U
% 30.09/30.51 U := Z
% 30.09/30.51 W := Y
% 30.09/30.51 V0 := Y
% 30.09/30.51 V1 := X
% 30.09/30.51 end
% 30.09/30.51
% 30.09/30.51 resolution: (58960) {G2,W6,D2,L1,V5,M1} { ! alpha4( X, Y, Z, T, U ) }.
% 30.09/30.51 parent0[0]: (58013) {G28,W6,D2,L1,V5,M1} R(58007,133);r(58012) { ! alpha5(
% 30.09/30.51 X, Y, Z, T, U ) }.
% 30.09/30.51 parent1[1]: (58959) {G1,W12,D2,L2,V5,M2} { ! alpha4( X, Y, Z, T, U ),
% 30.09/30.51 alpha5( X, Y, Z, T, U ) }.
% 30.09/30.51 substitution0:
% 30.09/30.51 X := X
% 30.09/30.51 Y := Y
% 30.09/30.51 Z := Z
% 30.09/30.51 T := T
% 30.09/30.51 U := U
% 30.09/30.51 end
% 30.09/30.51 substitution1:
% 30.09/30.51 X := X
% 30.09/30.51 Y := Y
% 30.09/30.51 Z := Z
% 30.09/30.51 T := T
% 30.09/30.51 U := U
% 30.09/30.51 end
% 30.09/30.51
% 30.09/30.51 subsumption: (58014) {G29,W6,D2,L1,V5,M1} R(58007,129);r(58013) { ! alpha4
% 30.09/30.51 ( X, Y, Z, T, U ) }.
% 30.09/30.51 parent0: (58960) {G2,W6,D2,L1,V5,M1} { ! alpha4( X, Y, Z, T, U ) }.
% 30.09/30.51 substitution0:
% 30.09/30.51 X := X
% 30.09/30.51 Y := Y
% 30.09/30.51 Z := Z
% 30.09/30.51 T := T
% 30.09/30.51 U := U
% 30.09/30.51 end
% 30.09/30.51 permutation0:
% 30.09/30.51 0 ==> 0
% 30.09/30.51 end
% 30.09/30.51
% 30.09/30.51 resolution: (58961) {G1,W12,D2,L2,V5,M2} { ! alpha3( X, Y, Z, T, U ),
% 30.09/30.51 alpha4( X, Y, Z, T, U ) }.
% 30.09/30.51 parent0[2]: (125) {G0,W21,D2,L3,V5,M3} I { ! alpha3( X, Y, Z, T, U ),
% 30.09/30.51 alpha4( X, Y, Z, T, U ), ! eqangle( T, Z, Z, U, Z, X, X, Y ) }.
% 30.09/30.51 parent1[0]: (58007) {G26,W9,D2,L1,V8,M1} R(57995,494);r(57798) { eqangle( X
% 30.09/30.51 , Y, Z, T, U, W, V0, V1 ) }.
% 30.09/30.51 substitution0:
% 30.09/30.51 X := X
% 30.09/30.51 Y := Y
% 30.09/30.51 Z := Z
% 30.09/30.51 T := T
% 30.09/30.51 U := U
% 30.09/30.51 end
% 30.09/30.51 substitution1:
% 30.09/30.51 X := T
% 30.09/30.51 Y := Z
% 30.09/30.51 Z := Z
% 30.09/30.51 T := U
% 30.09/30.51 U := Z
% 30.09/30.51 W := X
% 30.09/30.51 V0 := X
% 30.09/30.51 V1 := Y
% 30.09/30.51 end
% 30.09/30.51
% 30.09/30.51 resolution: (58962) {G2,W6,D2,L1,V5,M1} { ! alpha3( X, Y, Z, T, U ) }.
% 30.09/30.51 parent0[0]: (58014) {G29,W6,D2,L1,V5,M1} R(58007,129);r(58013) { ! alpha4(
% 30.09/30.51 X, Y, Z, T, U ) }.
% 30.09/30.51 parent1[1]: (58961) {G1,W12,D2,L2,V5,M2} { ! alpha3( X, Y, Z, T, U ),
% 30.09/30.51 alpha4( X, Y, Z, T, U ) }.
% 30.09/30.51 substitution0:
% 30.09/30.51 X := X
% 30.09/30.51 Y := Y
% 30.09/30.51 Z := Z
% 30.09/30.51 T := T
% 30.09/30.51 U := U
% 30.09/30.51 end
% 30.09/30.51 substitution1:
% 30.09/30.51 X := X
% 30.09/30.51 Y := Y
% 30.09/30.51 Z := Z
% 30.09/30.51 T := T
% 30.09/30.51 U := U
% 30.09/30.51 end
% 30.09/30.51
% 30.09/30.51 subsumption: (58015) {G30,W6,D2,L1,V5,M1} R(58007,125);r(58014) { ! alpha3
% 30.09/30.51 ( X, Y, Z, T, U ) }.
% 30.09/30.51 parent0: (58962) {G2,W6,D2,L1,V5,M1} { ! alpha3( X, Y, Z, T, U ) }.
% 30.09/30.51 substitution0:
% 30.09/30.51 X := X
% 30.09/30.51 Y := Y
% 30.09/30.51 Z := Z
% 30.09/30.51 T := T
% 30.09/30.51 U := U
% 30.09/30.51 end
% 30.09/30.51 permutation0:
% 30.09/30.51 0 ==> 0
% 30.09/30.51 end
% 30.09/30.51
% 30.09/30.51 resolution: (58963) {G1,W15,D2,L2,V0,M2} { alpha3( skol20, skol22, skol23
% 30.09/30.51 , skol24, skol25 ), ! eqangle( skol23, skol24, skol24, skol25, skol23,
% 30.09/30.51 skol22, skol22, skol20 ) }.
% 30.09/30.51 parent0[1]: (123) {G0,W24,D2,L3,V0,M3} I { alpha3( skol20, skol22, skol23,
% 30.09/30.51 skol24, skol25 ), ! eqangle( skol24, skol23, skol23, skol25, skol23,
% 30.09/30.51 skol20, skol20, skol22 ), ! eqangle( skol23, skol24, skol24, skol25,
% 30.09/30.51 skol23, skol22, skol22, skol20 ) }.
% 30.09/30.51 parent1[0]: (58007) {G26,W9,D2,L1,V8,M1} R(57995,494);r(57798) { eqangle( X
% 30.09/30.51 , Y, Z, T, U, W, V0, V1 ) }.
% 30.09/30.51 substitution0:
% 30.09/30.51 end
% 30.09/30.51 substitution1:
% 30.09/30.51 X := skol24
% 30.09/30.51 Y := skol23
% 30.09/30.51 Z := skol23
% 30.09/30.51 T := skol25
% 30.09/30.51 U := skol23
% 30.09/30.51 W := skol20
% 30.09/30.51 V0 := skol20
% 30.09/30.51 V1 := skol22
% 30.09/30.51 end
% 30.09/30.51
% 30.09/30.51 resolution: (58965) {G2,W9,D2,L1,V0,M1} { ! eqangle( skol23, skol24,
% 30.09/30.51 skol24, skol25, skol23, skol22, skol22, skol20 ) }.
% 30.09/30.51 parent0[0]: (58015) {G30,W6,D2,L1,V5,M1} R(58007,125);r(58014) { ! alpha3(
% 30.09/30.51 X, Y, Z, T, U ) }.
% 30.09/30.51 parent1[0]: (58963) {G1,W15,D2,L2,V0,M2} { alpha3( skol20, skol22, skol23
% 30.09/30.51 , skol24, skol25 ), ! eqangle( skol23, skol24, skol24, skol25, skol23,
% 30.09/30.51 skol22, skol22, skol20 ) }.
% 30.09/30.51 substitution0:
% 30.09/30.51 X := skol20
% 30.09/30.51 Y := skol22
% 30.09/30.51 Z := skol23
% 30.09/30.51 T := skol24
% 30.09/30.51 U := skol25
% 30.09/30.51 end
% 30.09/30.51 substitution1:
% 30.09/30.51 end
% 30.09/30.51
% 30.09/30.51 subsumption: (58016) {G31,W9,D2,L1,V0,M1} R(58007,123);r(58015) { ! eqangle
% 30.09/30.51 ( skol23, skol24, skol24, skol25, skol23, skol22, skol22, skol20 ) }.
% 30.09/30.51 parent0: (58965) {G2,W9,D2,L1,V0,M1} { ! eqangle( skol23, skol24, skol24,
% 30.09/30.51 skol25, skol23, skol22, skol22, skol20 ) }.
% 30.09/30.51 substitution0:
% 30.09/30.51 end
% 30.09/30.51 permutation0:
% 30.09/30.51 0 ==> 0
% 30.09/30.51 end
% 30.09/30.51
% 30.09/30.51 resolution: (58966) {G27,W0,D0,L0,V0,M0} { }.
% 30.09/30.51 parent0[0]: (58016) {G31,W9,D2,L1,V0,M1} R(58007,123);r(58015) { ! eqangle
% 30.09/30.51 ( skol23, skol24, skol24, skol25, skol23, skol22, skol22, skol20 ) }.
% 30.09/30.51 parent1[0]: (58007) {G26,W9,D2,L1,V8,M1} R(57995,494);r(57798) { eqangle( X
% 30.09/30.51 , Y, Z, T, U, W, V0, V1 ) }.
% 30.09/30.51 substitution0:
% 30.09/30.51 end
% 30.09/30.51 substitution1:
% 30.09/30.51 X := skol23
% 30.09/30.51 Y := skol24
% 30.09/30.51 Z := skol24
% 30.09/30.51 T := skol25
% 30.09/30.51 U := skol23
% 30.09/30.51 W := skol22
% 30.09/30.51 V0 := skol22
% 30.09/30.51 V1 := skol20
% 30.09/30.51 end
% 30.09/30.51
% 30.09/30.51 subsumption: (58019) {G32,W0,D0,L0,V0,M0} S(58016);r(58007) { }.
% 30.09/30.51 parent0: (58966) {G27,W0,D0,L0,V0,M0} { }.
% 30.09/30.51 substitution0:
% 30.09/30.51 end
% 30.09/30.51 permutation0:
% 30.09/30.51 end
% 30.09/30.51
% 30.09/30.51 Proof check complete!
% 30.09/30.51
% 30.09/30.51 Memory use:
% 30.09/30.51
% 30.09/30.51 space for terms: 814108
% 30.09/30.51 space for clauses: 2426297
% 30.09/30.51
% 30.09/30.51
% 30.09/30.51 clauses generated: 613748
% 30.09/30.51 clauses kept: 58020
% 30.09/30.51 clauses selected: 3189
% 30.09/30.51 clauses deleted: 12171
% 30.09/30.51 clauses inuse deleted: 674
% 30.09/30.51
% 30.09/30.51 subsentry: 32363939
% 30.09/30.51 literals s-matched: 20132701
% 30.09/30.51 literals matched: 12153716
% 30.09/30.51 full subsumption: 3134027
% 30.09/30.51
% 30.09/30.51 checksum: -673931398
% 30.09/30.51
% 30.09/30.51
% 30.09/30.51 Bliksem ended
%------------------------------------------------------------------------------