TSTP Solution File: GEO584+1 by Bliksem---1.12
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : GEO584+1 : TPTP v8.1.0. Released v7.5.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n012.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 0s
% DateTime : Sat Jul 16 02:54:53 EDT 2022
% Result : Theorem 30.22s 30.62s
% Output : Refutation 30.22s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : GEO584+1 : TPTP v8.1.0. Released v7.5.0.
% 0.03/0.12 % Command : bliksem %s
% 0.12/0.33 % Computer : n012.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 : Fri Jun 17 22:58:53 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.70/1.15 *** allocated 10000 integers for termspace/termends
% 0.70/1.15 *** allocated 10000 integers for clauses
% 0.70/1.15 *** allocated 10000 integers for justifications
% 0.70/1.15 Bliksem 1.12
% 0.70/1.15
% 0.70/1.15
% 0.70/1.15 Automatic Strategy Selection
% 0.70/1.15
% 0.70/1.15 *** allocated 15000 integers for termspace/termends
% 0.70/1.15
% 0.70/1.15 Clauses:
% 0.70/1.15
% 0.70/1.15 { ! coll( X, Y, Z ), coll( X, Z, Y ) }.
% 0.70/1.15 { ! coll( X, Y, Z ), coll( Y, X, Z ) }.
% 0.70/1.15 { ! coll( X, T, Y ), ! coll( X, T, Z ), coll( Y, Z, X ) }.
% 0.70/1.15 { ! para( X, Y, Z, T ), para( X, Y, T, Z ) }.
% 0.70/1.15 { ! para( X, Y, Z, T ), para( Z, T, X, Y ) }.
% 0.70/1.15 { ! para( X, Y, U, W ), ! para( U, W, Z, T ), para( X, Y, Z, T ) }.
% 0.70/1.15 { ! perp( X, Y, Z, T ), perp( X, Y, T, Z ) }.
% 0.70/1.15 { ! perp( X, Y, Z, T ), perp( Z, T, X, Y ) }.
% 0.70/1.15 { ! perp( X, Y, U, W ), ! perp( U, W, Z, T ), para( X, Y, Z, T ) }.
% 0.70/1.15 { ! para( X, Y, U, W ), ! perp( U, W, Z, T ), perp( X, Y, Z, T ) }.
% 0.70/1.15 { ! midp( Z, Y, X ), midp( Z, X, Y ) }.
% 0.70/1.15 { ! cong( T, X, T, Y ), ! cong( T, X, T, Z ), circle( T, X, Y, Z ) }.
% 0.70/1.15 { ! cong( U, X, U, Y ), ! cong( U, X, U, Z ), ! cong( U, X, U, T ), cyclic
% 0.70/1.15 ( X, Y, Z, T ) }.
% 0.70/1.15 { ! cyclic( X, Y, Z, T ), cyclic( X, Y, T, Z ) }.
% 0.70/1.15 { ! cyclic( X, Y, Z, T ), cyclic( X, Z, Y, T ) }.
% 0.70/1.15 { ! cyclic( X, Y, Z, T ), cyclic( Y, X, Z, T ) }.
% 0.70/1.15 { ! cyclic( U, X, Y, Z ), ! cyclic( U, X, Y, T ), cyclic( X, Y, Z, T ) }.
% 0.70/1.15 { ! eqangle( X, Y, Z, T, U, W, V0, V1 ), eqangle( Y, X, Z, T, U, W, V0, V1
% 0.70/1.15 ) }.
% 0.70/1.15 { ! eqangle( X, Y, Z, T, U, W, V0, V1 ), eqangle( Z, T, X, Y, V0, V1, U, W
% 0.70/1.15 ) }.
% 0.70/1.15 { ! eqangle( X, Y, Z, T, U, W, V0, V1 ), eqangle( U, W, V0, V1, X, Y, Z, T
% 0.70/1.15 ) }.
% 0.70/1.15 { ! eqangle( X, Y, Z, T, U, W, V0, V1 ), eqangle( X, Y, U, W, Z, T, V0, V1
% 0.70/1.15 ) }.
% 0.70/1.15 { ! eqangle( X, Y, Z, T, V2, V3, V4, V5 ), ! eqangle( V2, V3, V4, V5, U, W
% 0.70/1.15 , V0, V1 ), eqangle( X, Y, Z, T, U, W, V0, V1 ) }.
% 0.70/1.15 { ! cong( X, Y, Z, T ), cong( X, Y, T, Z ) }.
% 0.70/1.15 { ! cong( X, Y, Z, T ), cong( Z, T, X, Y ) }.
% 0.70/1.15 { ! cong( X, Y, U, W ), ! cong( U, W, Z, T ), cong( X, Y, Z, T ) }.
% 0.70/1.15 { ! eqratio( X, Y, Z, T, U, W, V0, V1 ), eqratio( Y, X, Z, T, U, W, V0, V1
% 0.70/1.15 ) }.
% 0.70/1.15 { ! eqratio( X, Y, Z, T, U, W, V0, V1 ), eqratio( Z, T, X, Y, V0, V1, U, W
% 0.70/1.15 ) }.
% 0.70/1.15 { ! eqratio( X, Y, Z, T, U, W, V0, V1 ), eqratio( U, W, V0, V1, X, Y, Z, T
% 0.70/1.15 ) }.
% 0.70/1.15 { ! eqratio( X, Y, Z, T, U, W, V0, V1 ), eqratio( X, Y, U, W, Z, T, V0, V1
% 0.70/1.15 ) }.
% 0.70/1.15 { ! eqratio( X, Y, Z, T, V2, V3, V4, V5 ), ! eqratio( V2, V3, V4, V5, U, W
% 0.70/1.15 , V0, V1 ), eqratio( X, Y, Z, T, U, W, V0, V1 ) }.
% 0.70/1.15 { ! simtri( X, Z, Y, T, W, U ), simtri( X, Y, Z, T, U, W ) }.
% 0.70/1.15 { ! simtri( Y, X, Z, U, T, W ), simtri( X, Y, Z, T, U, W ) }.
% 0.70/1.15 { ! simtri( T, U, W, X, Y, Z ), simtri( X, Y, Z, T, U, W ) }.
% 0.70/1.15 { ! simtri( X, Y, Z, V0, V1, V2 ), ! simtri( V0, V1, V2, T, U, W ), simtri
% 0.70/1.15 ( X, Y, Z, T, U, W ) }.
% 0.70/1.15 { ! contri( X, Z, Y, T, W, U ), contri( X, Y, Z, T, U, W ) }.
% 0.70/1.15 { ! contri( Y, X, Z, U, T, W ), contri( X, Y, Z, T, U, W ) }.
% 0.70/1.15 { ! contri( T, U, W, X, Y, Z ), contri( X, Y, Z, T, U, W ) }.
% 0.70/1.15 { ! contri( X, Y, Z, V0, V1, V2 ), ! contri( V0, V1, V2, T, U, W ), contri
% 0.70/1.15 ( X, Y, Z, T, U, W ) }.
% 0.70/1.15 { ! eqangle( X, Y, U, W, Z, T, U, W ), para( X, Y, Z, T ) }.
% 0.70/1.15 { ! para( X, Y, Z, T ), eqangle( X, Y, U, W, Z, T, U, W ) }.
% 0.70/1.15 { ! cyclic( X, Y, Z, T ), eqangle( Z, X, Z, Y, T, X, T, Y ) }.
% 0.70/1.15 { ! eqangle( Z, X, Z, Y, T, X, T, Y ), coll( Z, T, X ), cyclic( X, Y, Z, T
% 0.70/1.15 ) }.
% 0.70/1.15 { ! eqangle( Z, X, Z, Y, T, X, T, Y ), ! coll( Z, T, Y ), cyclic( X, Y, Z,
% 0.70/1.15 T ) }.
% 0.70/1.15 { ! cyclic( X, Y, U, Z ), ! cyclic( X, Y, U, T ), ! cyclic( X, Y, U, W ), !
% 0.70/1.15 eqangle( U, X, U, Y, W, Z, W, T ), cong( X, Y, Z, T ) }.
% 0.70/1.15 { ! midp( Z, U, X ), ! midp( T, U, Y ), para( Z, T, X, Y ) }.
% 0.70/1.15 { ! midp( U, X, T ), ! para( U, Z, T, Y ), ! coll( Z, X, Y ), midp( Z, X, Y
% 0.70/1.15 ) }.
% 0.70/1.15 { ! cong( Z, X, Z, Y ), eqangle( Z, X, X, Y, X, Y, Z, Y ) }.
% 0.70/1.15 { ! eqangle( Z, X, X, Y, X, Y, Z, Y ), coll( Z, X, Y ), cong( Z, X, Z, Y )
% 0.70/1.15 }.
% 0.70/1.15 { ! circle( U, X, Y, Z ), ! perp( U, X, X, T ), eqangle( X, T, X, Y, Z, X,
% 0.70/1.15 Z, Y ) }.
% 0.70/1.15 { ! circle( Y, X, T, U ), ! eqangle( X, Z, X, T, U, X, U, T ), perp( Y, X,
% 0.70/1.15 X, Z ) }.
% 0.70/1.15 { ! circle( T, X, Y, Z ), ! midp( U, Y, Z ), eqangle( X, Y, X, Z, T, Y, T,
% 0.70/1.15 U ) }.
% 0.70/1.15 { ! circle( U, T, X, Y ), ! coll( Z, X, Y ), ! eqangle( T, X, T, Y, U, X, U
% 0.70/1.15 , Z ), midp( Z, X, Y ) }.
% 0.70/1.15 { ! perp( X, Y, Y, T ), ! midp( Z, X, T ), cong( X, Z, Y, Z ) }.
% 0.70/1.15 { ! circle( T, X, Y, Z ), ! coll( T, X, Z ), perp( X, Y, Y, Z ) }.
% 0.70/1.15 { ! cyclic( X, Y, Z, T ), ! para( X, Y, Z, T ), eqangle( X, T, Z, T, Z, T,
% 0.70/1.15 Z, Y ) }.
% 0.70/1.15 { ! midp( T, X, Y ), ! perp( Z, T, X, Y ), cong( Z, X, Z, Y ) }.
% 0.70/1.15 { ! cong( X, Z, Y, Z ), ! cong( X, T, Y, T ), perp( X, Y, Z, T ) }.
% 0.70/1.15 { ! cong( X, Y, T, Y ), ! cong( X, Z, T, Z ), ! cyclic( X, T, Y, Z ), perp
% 0.70/1.15 ( Y, X, X, Z ) }.
% 0.70/1.15 { ! eqangle( X, Y, Y, Z, T, U, U, W ), ! eqangle( X, Z, Y, Z, T, W, U, W )
% 0.70/1.15 , coll( X, Y, Z ), simtri( X, Y, Z, T, U, W ) }.
% 0.70/1.15 { ! simtri( X, Y, Z, T, U, W ), eqratio( X, Y, X, Z, T, U, T, W ) }.
% 0.70/1.15 { ! simtri( X, Y, Z, T, U, W ), eqangle( X, Y, Y, Z, T, U, U, W ) }.
% 0.70/1.15 { ! simtri( X, Y, Z, T, U, W ), ! cong( X, Y, T, U ), contri( X, Y, Z, T, U
% 0.70/1.15 , W ) }.
% 0.70/1.15 { ! contri( X, Y, U, Z, T, W ), cong( X, Y, Z, T ) }.
% 0.70/1.15 { ! midp( U, X, Y ), ! midp( U, Z, T ), para( X, Z, Y, T ) }.
% 0.70/1.15 { ! midp( Z, T, U ), ! para( T, X, U, Y ), ! para( T, Y, U, X ), midp( Z, X
% 0.70/1.15 , Y ) }.
% 0.70/1.15 { ! para( X, Y, Z, T ), ! coll( U, X, Z ), ! coll( U, Y, T ), eqratio( U, X
% 0.70/1.15 , X, Z, U, Y, Y, T ) }.
% 0.70/1.15 { ! para( X, Y, X, Z ), coll( X, Y, Z ) }.
% 0.70/1.15 { ! cong( X, Y, X, Z ), ! coll( X, Y, Z ), midp( X, Y, Z ) }.
% 0.70/1.15 { ! midp( X, Y, Z ), cong( X, Y, X, Z ) }.
% 0.70/1.15 { ! midp( X, Y, Z ), coll( X, Y, Z ) }.
% 0.70/1.15 { ! midp( U, X, Y ), ! midp( W, Z, T ), eqratio( U, X, X, Y, W, Z, Z, T ) }
% 0.70/1.15 .
% 0.70/1.15 { ! eqangle( X, Y, Z, T, Z, T, X, Y ), para( X, Y, Z, T ), perp( X, Y, Z, T
% 0.70/1.15 ) }.
% 0.70/1.15 { ! eqangle( X, Y, Z, T, Z, T, X, Y ), perp( X, Y, Z, T ), para( X, Y, Z, T
% 0.70/1.15 ) }.
% 0.70/1.15 { ! eqangle( X, Y, Z, T, U, W, V0, V1 ), ! para( U, W, V0, V1 ), para( X, Y
% 0.70/1.15 , Z, T ) }.
% 0.70/1.15 { ! eqangle( X, Y, Z, T, U, W, V0, V1 ), ! perp( U, W, V0, V1 ), perp( X, Y
% 0.70/1.15 , Z, T ) }.
% 0.70/1.15 { ! eqratio( X, Y, Z, T, U, W, V0, V1 ), ! cong( U, W, V0, V1 ), cong( X, Y
% 0.70/1.15 , Z, T ) }.
% 0.70/1.15 { ! perp( Z, Y, Y, X ), ! eqangle( T, Z, Y, Z, Y, Z, X, Z ), coll( skol1( U
% 0.70/1.15 , W, Z, T ), Z, T ) }.
% 0.70/1.15 { ! perp( Z, Y, Y, X ), ! eqangle( T, Z, Y, Z, Y, Z, X, Z ), coll( skol1( X
% 0.70/1.15 , Y, Z, T ), X, Y ) }.
% 0.70/1.15 { ! cong( Z, X, Z, Y ), ! eqangle( X, Z, Z, T, Z, T, Z, Y ), coll( skol2( U
% 0.70/1.15 , W, Z, T ), Z, T ) }.
% 0.70/1.15 { ! cong( Z, X, Z, Y ), ! eqangle( X, Z, Z, T, Z, T, Z, Y ), coll( Y, X,
% 0.70/1.15 skol2( X, Y, Z, T ) ) }.
% 0.70/1.15 { ! perp( Z, T, X, Y ), ! eqangle( X, Z, Z, T, Z, T, Z, Y ), coll( skol3( U
% 0.70/1.15 , W, Z, T ), Z, T ) }.
% 0.70/1.15 { ! perp( Z, T, X, Y ), ! eqangle( X, Z, Z, T, Z, T, Z, Y ), coll( Y, X,
% 0.70/1.15 skol3( X, Y, Z, T ) ) }.
% 0.70/1.15 { ! perp( Z, T, X, Y ), ! cong( Z, X, Z, Y ), coll( skol4( U, W, Z, T ), Z
% 0.70/1.15 , T ) }.
% 0.70/1.15 { ! perp( Z, T, X, Y ), ! cong( Z, X, Z, Y ), coll( Y, X, skol4( X, Y, Z, T
% 0.70/1.15 ) ) }.
% 0.70/1.15 { ! eqangle( X, Z, Y, Z, X, T, Y, U ), coll( X, Y, Z ), cyclic( T, Y, Z,
% 0.70/1.15 skol5( W, Y, Z, T ) ) }.
% 0.70/1.15 { ! eqangle( X, Z, Y, Z, X, T, Y, U ), coll( X, Y, Z ), eqangle( X, Z, Y, Z
% 0.70/1.15 , X, skol5( X, Y, Z, T ), Y, skol5( X, Y, Z, T ) ) }.
% 0.70/1.15 { ! midp( U, X, Y ), ! midp( W, Z, T ), midp( skol6( X, V0, V1, T, V2, V3 )
% 0.70/1.15 , X, T ) }.
% 0.70/1.15 { ! midp( U, X, Y ), ! midp( W, Z, T ), para( skol6( X, V0, Z, T, V1, W ),
% 0.70/1.15 W, X, Z ) }.
% 0.70/1.15 { ! midp( U, X, Y ), ! midp( W, Z, T ), para( skol6( X, Y, Z, T, U, W ), U
% 0.70/1.15 , Y, T ) }.
% 0.70/1.15 { ! midp( Z, X, Y ), ! midp( W, T, U ), ! coll( T, X, Y ), ! coll( U, X, Y
% 0.70/1.15 ), midp( skol7( X, V0 ), X, V0 ) }.
% 0.70/1.15 { ! midp( T, X, U ), ! para( X, W, Z, T ), ! para( X, W, U, Y ), ! coll( W
% 0.70/1.15 , Y, Z ), coll( skol8( V0, V1, Z, T ), T, Z ) }.
% 0.70/1.15 { ! midp( T, X, U ), ! para( X, W, Z, T ), ! para( X, W, U, Y ), ! coll( W
% 0.70/1.15 , Y, Z ), coll( skol8( X, Y, Z, T ), X, Y ) }.
% 0.70/1.15 { ! cong( T, Z, T, U ), ! perp( X, Y, Y, T ), cong( T, Z, T, skol9( W, V0,
% 0.70/1.15 Z, T ) ) }.
% 0.70/1.15 { ! cong( T, Z, T, U ), ! perp( X, Y, Y, T ), cong( Y, Z, Y, skol9( W, Y, Z
% 0.70/1.15 , T ) ) }.
% 0.70/1.15 { ! cong( T, Z, T, U ), ! perp( X, Y, Y, T ), para( skol9( X, Y, Z, T ), Z
% 0.70/1.15 , X, Y ) }.
% 0.70/1.15 { ! perp( X, T, Y, Z ), ! perp( Y, T, X, Z ), coll( skol10( U, Y, Z ), Z, Y
% 0.70/1.15 ) }.
% 0.70/1.15 { ! perp( X, T, Y, Z ), ! perp( Y, T, X, Z ), perp( X, skol10( X, Y, Z ), Z
% 0.70/1.15 , Y ) }.
% 0.70/1.15 { ! perp( X, T, Y, Z ), ! perp( Y, T, X, Z ), alpha1( X, Y, Z ) }.
% 0.70/1.15 { ! alpha1( X, Y, Z ), coll( skol11( X, T, Z ), Z, X ) }.
% 0.70/1.15 { ! alpha1( X, Y, Z ), perp( Y, skol11( X, Y, Z ), Z, X ) }.
% 0.70/1.15 { ! coll( T, Z, X ), ! perp( Y, T, Z, X ), alpha1( X, Y, Z ) }.
% 0.70/1.15 { ! circle( Y, X, Z, T ), perp( skol12( X, Y ), X, X, Y ) }.
% 4.62/5.03 { ! circle( W, X, Y, Z ), ! cong( W, X, W, T ), ! cong( U, X, U, Y ), W = U
% 4.62/5.03 , alpha2( X, Z, U, skol13( X, V0, Z, V1, U ) ) }.
% 4.62/5.03 { ! circle( W, X, Y, Z ), ! cong( W, X, W, T ), ! cong( U, X, U, Y ), W = U
% 4.62/5.03 , coll( skol21( V0, Y, T, V1 ), Y, T ) }.
% 4.62/5.03 { ! circle( W, X, Y, Z ), ! cong( W, X, W, T ), ! cong( U, X, U, Y ), W = U
% 4.62/5.03 , cong( skol21( X, Y, T, U ), U, U, X ) }.
% 4.62/5.03 { ! alpha2( X, Y, Z, T ), coll( T, X, Y ) }.
% 4.62/5.03 { ! alpha2( X, Y, Z, T ), cong( T, Z, Z, X ) }.
% 4.62/5.03 { ! coll( T, X, Y ), ! cong( T, Z, Z, X ), alpha2( X, Y, Z, T ) }.
% 4.62/5.03 { ! cyclic( X, Y, Z, T ), ! para( X, Y, Z, T ), ! midp( U, X, Y ), circle(
% 4.62/5.03 skol14( X, Y, Z ), X, Y, Z ) }.
% 4.62/5.03 { ! perp( X, Z, Z, Y ), ! cyclic( X, Y, Z, T ), circle( skol15( X, Y, Z ),
% 4.62/5.03 X, Y, Z ) }.
% 4.62/5.03 { ! perp( X, U, U, T ), ! coll( T, Y, Z ), coll( skol16( W, Y, Z ), Y, Z )
% 4.62/5.03 }.
% 4.62/5.03 { ! perp( X, U, U, T ), ! coll( T, Y, Z ), perp( skol16( X, Y, Z ), X, Y, Z
% 4.62/5.03 ) }.
% 4.62/5.03 { ! perp( X, Z, X, Y ), ! perp( Y, X, Y, T ), ! midp( U, Z, T ), midp(
% 4.62/5.03 skol17( X, Y ), X, Y ) }.
% 4.62/5.03 { ! cong( Y, X, Y, Z ), ! perp( X, Y, Y, Z ), coll( X, Y, skol18( X, Y ) )
% 4.62/5.03 }.
% 4.62/5.03 { ! cong( Y, X, Y, Z ), ! perp( X, Y, Y, Z ), cong( Y, X, Y, skol18( X, Y )
% 4.62/5.03 ) }.
% 4.62/5.03 { ! para( U, W, X, Y ), ! coll( Z, U, X ), ! coll( Z, W, Y ), ! coll( T, U
% 4.62/5.03 , W ), coll( Z, T, skol19( V0, V1, Z, T ) ) }.
% 4.62/5.03 { ! para( U, W, X, Y ), ! coll( Z, U, X ), ! coll( Z, W, Y ), ! coll( T, U
% 4.62/5.03 , W ), coll( skol19( X, Y, Z, T ), X, Y ) }.
% 4.62/5.03 { circle( skol29, skol26, skol27, skol28 ) }.
% 4.62/5.03 { circle( skol29, skol26, skol30, skol31 ) }.
% 4.62/5.03 { circle( skol29, skol26, skol20, skol32 ) }.
% 4.62/5.03 { perp( skol22, skol20, skol27, skol28 ) }.
% 4.62/5.03 { coll( skol22, skol27, skol28 ) }.
% 4.62/5.03 { perp( skol23, skol20, skol26, skol27 ) }.
% 4.62/5.03 { coll( skol23, skol26, skol27 ) }.
% 4.62/5.03 { perp( skol24, skol20, skol26, skol30 ) }.
% 4.62/5.03 { coll( skol24, skol26, skol30 ) }.
% 4.62/5.03 { perp( skol25, skol20, skol28, skol30 ) }.
% 4.62/5.03 { coll( skol25, skol28, skol30 ) }.
% 4.62/5.03 { ! eqangle( skol20, skol23, skol23, skol24, skol20, skol22, skol22, skol25
% 4.62/5.03 ) }.
% 4.62/5.03
% 4.62/5.03 percentage equality = 0.008671, percentage horn = 0.929688
% 4.62/5.03 This is a problem with some equality
% 4.62/5.03
% 4.62/5.03
% 4.62/5.03
% 4.62/5.03 Options Used:
% 4.62/5.03
% 4.62/5.03 useres = 1
% 4.62/5.03 useparamod = 1
% 4.62/5.03 useeqrefl = 1
% 4.62/5.03 useeqfact = 1
% 4.62/5.03 usefactor = 1
% 4.62/5.03 usesimpsplitting = 0
% 4.62/5.03 usesimpdemod = 5
% 4.62/5.03 usesimpres = 3
% 4.62/5.03
% 4.62/5.03 resimpinuse = 1000
% 4.62/5.03 resimpclauses = 20000
% 4.62/5.03 substype = eqrewr
% 4.62/5.03 backwardsubs = 1
% 4.62/5.03 selectoldest = 5
% 4.62/5.03
% 4.62/5.03 litorderings [0] = split
% 4.62/5.03 litorderings [1] = extend the termordering, first sorting on arguments
% 4.62/5.03
% 4.62/5.03 termordering = kbo
% 4.62/5.03
% 4.62/5.03 litapriori = 0
% 4.62/5.03 termapriori = 1
% 4.62/5.03 litaposteriori = 0
% 4.62/5.03 termaposteriori = 0
% 4.62/5.03 demodaposteriori = 0
% 4.62/5.03 ordereqreflfact = 0
% 4.62/5.03
% 4.62/5.03 litselect = negord
% 4.62/5.03
% 4.62/5.03 maxweight = 15
% 4.62/5.03 maxdepth = 30000
% 4.62/5.03 maxlength = 115
% 4.62/5.03 maxnrvars = 195
% 4.62/5.03 excuselevel = 1
% 4.62/5.03 increasemaxweight = 1
% 4.62/5.03
% 4.62/5.03 maxselected = 10000000
% 4.62/5.03 maxnrclauses = 10000000
% 4.62/5.03
% 4.62/5.03 showgenerated = 0
% 4.62/5.03 showkept = 0
% 4.62/5.03 showselected = 0
% 4.62/5.03 showdeleted = 0
% 4.62/5.03 showresimp = 1
% 4.62/5.03 showstatus = 2000
% 4.62/5.03
% 4.62/5.03 prologoutput = 0
% 4.62/5.03 nrgoals = 5000000
% 4.62/5.03 totalproof = 1
% 4.62/5.03
% 4.62/5.03 Symbols occurring in the translation:
% 4.62/5.03
% 4.62/5.03 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 4.62/5.03 . [1, 2] (w:1, o:44, a:1, s:1, b:0),
% 4.62/5.03 ! [4, 1] (w:0, o:39, a:1, s:1, b:0),
% 4.62/5.03 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 4.62/5.03 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 4.62/5.03 coll [38, 3] (w:1, o:72, a:1, s:1, b:0),
% 4.62/5.03 para [40, 4] (w:1, o:80, a:1, s:1, b:0),
% 4.62/5.03 perp [43, 4] (w:1, o:81, a:1, s:1, b:0),
% 4.62/5.03 midp [45, 3] (w:1, o:73, a:1, s:1, b:0),
% 4.62/5.03 cong [47, 4] (w:1, o:82, a:1, s:1, b:0),
% 4.62/5.03 circle [48, 4] (w:1, o:83, a:1, s:1, b:0),
% 4.62/5.03 cyclic [49, 4] (w:1, o:84, a:1, s:1, b:0),
% 4.62/5.03 eqangle [54, 8] (w:1, o:99, a:1, s:1, b:0),
% 4.62/5.03 eqratio [57, 8] (w:1, o:100, a:1, s:1, b:0),
% 4.62/5.03 simtri [59, 6] (w:1, o:96, a:1, s:1, b:0),
% 4.62/5.03 contri [60, 6] (w:1, o:97, a:1, s:1, b:0),
% 4.62/5.03 alpha1 [67, 3] (w:1, o:74, a:1, s:1, b:1),
% 4.62/5.03 alpha2 [68, 4] (w:1, o:85, a:1, s:1, b:1),
% 4.62/5.03 skol1 [69, 4] (w:1, o:86, a:1, s:1, b:1),
% 4.62/5.03 skol2 [70, 4] (w:1, o:88, a:1, s:1, b:1),
% 4.62/5.03 skol3 [71, 4] (w:1, o:90, a:1, s:1, b:1),
% 30.22/30.62 skol4 [72, 4] (w:1, o:91, a:1, s:1, b:1),
% 30.22/30.62 skol5 [73, 4] (w:1, o:92, a:1, s:1, b:1),
% 30.22/30.62 skol6 [74, 6] (w:1, o:98, a:1, s:1, b:1),
% 30.22/30.62 skol7 [75, 2] (w:1, o:68, a:1, s:1, b:1),
% 30.22/30.62 skol8 [76, 4] (w:1, o:93, a:1, s:1, b:1),
% 30.22/30.62 skol9 [77, 4] (w:1, o:94, a:1, s:1, b:1),
% 30.22/30.62 skol10 [78, 3] (w:1, o:75, a:1, s:1, b:1),
% 30.22/30.62 skol11 [79, 3] (w:1, o:76, a:1, s:1, b:1),
% 30.22/30.62 skol12 [80, 2] (w:1, o:69, a:1, s:1, b:1),
% 30.22/30.62 skol13 [81, 5] (w:1, o:95, a:1, s:1, b:1),
% 30.22/30.62 skol14 [82, 3] (w:1, o:77, a:1, s:1, b:1),
% 30.22/30.62 skol15 [83, 3] (w:1, o:78, a:1, s:1, b:1),
% 30.22/30.62 skol16 [84, 3] (w:1, o:79, a:1, s:1, b:1),
% 30.22/30.62 skol17 [85, 2] (w:1, o:70, a:1, s:1, b:1),
% 30.22/30.62 skol18 [86, 2] (w:1, o:71, a:1, s:1, b:1),
% 30.22/30.62 skol19 [87, 4] (w:1, o:87, a:1, s:1, b:1),
% 30.22/30.62 skol20 [88, 0] (w:1, o:27, a:1, s:1, b:1),
% 30.22/30.62 skol21 [89, 4] (w:1, o:89, a:1, s:1, b:1),
% 30.22/30.62 skol22 [90, 0] (w:1, o:28, a:1, s:1, b:1),
% 30.22/30.62 skol23 [91, 0] (w:1, o:29, a:1, s:1, b:1),
% 30.22/30.62 skol24 [92, 0] (w:1, o:30, a:1, s:1, b:1),
% 30.22/30.62 skol25 [93, 0] (w:1, o:31, a:1, s:1, b:1),
% 30.22/30.62 skol26 [94, 0] (w:1, o:32, a:1, s:1, b:1),
% 30.22/30.62 skol27 [95, 0] (w:1, o:33, a:1, s:1, b:1),
% 30.22/30.62 skol28 [96, 0] (w:1, o:34, a:1, s:1, b:1),
% 30.22/30.62 skol29 [97, 0] (w:1, o:35, a:1, s:1, b:1),
% 30.22/30.62 skol30 [98, 0] (w:1, o:36, a:1, s:1, b:1),
% 30.22/30.62 skol31 [99, 0] (w:1, o:37, a:1, s:1, b:1),
% 30.22/30.62 skol32 [100, 0] (w:1, o:38, a:1, s:1, b:1).
% 30.22/30.62
% 30.22/30.62
% 30.22/30.62 Starting Search:
% 30.22/30.62
% 30.22/30.62 *** allocated 15000 integers for clauses
% 30.22/30.62 *** allocated 22500 integers for clauses
% 30.22/30.62 *** allocated 33750 integers for clauses
% 30.22/30.62 *** allocated 50625 integers for clauses
% 30.22/30.62 *** allocated 22500 integers for termspace/termends
% 30.22/30.62 *** allocated 75937 integers for clauses
% 30.22/30.62 Resimplifying inuse:
% 30.22/30.62 Done
% 30.22/30.62
% 30.22/30.62 *** allocated 33750 integers for termspace/termends
% 30.22/30.62 *** allocated 113905 integers for clauses
% 30.22/30.62 *** allocated 50625 integers for termspace/termends
% 30.22/30.62
% 30.22/30.62 Intermediate Status:
% 30.22/30.62 Generated: 9798
% 30.22/30.62 Kept: 2014
% 30.22/30.62 Inuse: 321
% 30.22/30.62 Deleted: 0
% 30.22/30.62 Deletedinuse: 0
% 30.22/30.62
% 30.22/30.62 Resimplifying inuse:
% 30.22/30.62 Done
% 30.22/30.62
% 30.22/30.62 *** allocated 170857 integers for clauses
% 30.22/30.62 *** allocated 75937 integers for termspace/termends
% 30.22/30.62 Resimplifying inuse:
% 30.22/30.62 Done
% 30.22/30.62
% 30.22/30.62 *** allocated 256285 integers for clauses
% 30.22/30.62 *** allocated 113905 integers for termspace/termends
% 30.22/30.62
% 30.22/30.62 Intermediate Status:
% 30.22/30.62 Generated: 30305
% 30.22/30.62 Kept: 4047
% 30.22/30.62 Inuse: 466
% 30.22/30.62 Deleted: 1
% 30.22/30.62 Deletedinuse: 1
% 30.22/30.62
% 30.22/30.62 Resimplifying inuse:
% 30.22/30.62 Done
% 30.22/30.62
% 30.22/30.62 Resimplifying inuse:
% 30.22/30.62 Done
% 30.22/30.62
% 30.22/30.62 *** allocated 384427 integers for clauses
% 30.22/30.62 *** allocated 170857 integers for termspace/termends
% 30.22/30.62
% 30.22/30.62 Intermediate Status:
% 30.22/30.62 Generated: 45704
% 30.22/30.62 Kept: 6234
% 30.22/30.62 Inuse: 531
% 30.22/30.62 Deleted: 1
% 30.22/30.62 Deletedinuse: 1
% 30.22/30.62
% 30.22/30.62 Resimplifying inuse:
% 30.22/30.62 Done
% 30.22/30.62
% 30.22/30.62 Resimplifying inuse:
% 30.22/30.62 Done
% 30.22/30.62
% 30.22/30.62 *** allocated 576640 integers for clauses
% 30.22/30.62
% 30.22/30.62 Intermediate Status:
% 30.22/30.62 Generated: 63398
% 30.22/30.62 Kept: 8236
% 30.22/30.62 Inuse: 693
% 30.22/30.62 Deleted: 2
% 30.22/30.62 Deletedinuse: 1
% 30.22/30.62
% 30.22/30.62 Resimplifying inuse:
% 30.22/30.62 Done
% 30.22/30.62
% 30.22/30.62 *** allocated 256285 integers for termspace/termends
% 30.22/30.62 Resimplifying inuse:
% 30.22/30.62 Done
% 30.22/30.62
% 30.22/30.62
% 30.22/30.62 Intermediate Status:
% 30.22/30.62 Generated: 84252
% 30.22/30.62 Kept: 10238
% 30.22/30.62 Inuse: 808
% 30.22/30.62 Deleted: 9
% 30.22/30.62 Deletedinuse: 3
% 30.22/30.62
% 30.22/30.62 Resimplifying inuse:
% 30.22/30.62 Done
% 30.22/30.62
% 30.22/30.62 Resimplifying inuse:
% 30.22/30.62 Done
% 30.22/30.62
% 30.22/30.62 *** allocated 864960 integers for clauses
% 30.22/30.62
% 30.22/30.62 Intermediate Status:
% 30.22/30.62 Generated: 96049
% 30.22/30.62 Kept: 12385
% 30.22/30.62 Inuse: 865
% 30.22/30.62 Deleted: 14
% 30.22/30.62 Deletedinuse: 8
% 30.22/30.62
% 30.22/30.62 Resimplifying inuse:
% 30.22/30.62 Done
% 30.22/30.62
% 30.22/30.62 Resimplifying inuse:
% 30.22/30.62 Done
% 30.22/30.62
% 30.22/30.62
% 30.22/30.62 Intermediate Status:
% 30.22/30.62 Generated: 108663
% 30.22/30.62 Kept: 14391
% 30.22/30.62 Inuse: 941
% 30.22/30.62 Deleted: 16
% 30.22/30.62 Deletedinuse: 8
% 30.22/30.62
% 30.22/30.62 Resimplifying inuse:
% 30.22/30.62 Done
% 30.22/30.62
% 30.22/30.62 *** allocated 384427 integers for termspace/termends
% 30.22/30.62 Resimplifying inuse:
% 30.22/30.62 Done
% 30.22/30.62
% 30.22/30.62
% 30.22/30.62 Intermediate Status:
% 30.22/30.62 Generated: 123135
% 30.22/30.62 Kept: 16396
% 30.22/30.62 Inuse: 1062
% 30.22/30.62 Deleted: 16
% 30.22/30.62 Deletedinuse: 8
% 30.22/30.62
% 30.22/30.62 Resimplifying inuse:
% 30.22/30.62 Done
% 30.22/30.62
% 30.22/30.62 Resimplifying inuse:
% 30.22/30.62 Done
% 30.22/30.62
% 30.22/30.62
% 30.22/30.62 Intermediate Status:
% 30.22/30.62 Generated: 144435
% 30.22/30.62 Kept: 18416
% 30.22/30.62 Inuse: 1216
% 30.22/30.62 Deleted: 16
% 30.22/30.62 Deletedinuse: 8
% 30.22/30.62
% 30.22/30.62 *** allocated 1297440 integers for clauses
% 30.22/30.62 Resimplifying inuse:
% 30.22/30.62 Done
% 30.22/30.62
% 30.22/30.62 Resimplifying clauses:
% 30.22/30.62 Done
% 30.22/30.62
% 30.22/30.62 Resimplifying inuse:
% 30.22/30.62 Done
% 30.22/30.62
% 30.22/30.62
% 30.22/30.62 Intermediate Status:
% 30.22/30.62 Generated: 170714
% 30.22/30.62 Kept: 20437
% 30.22/30.62 Inuse: 1326
% 30.22/30.62 Deleted: 1009
% 30.22/30.62 Deletedinuse: 8
% 30.22/30.62
% 30.22/30.62 Resimplifying inuse:
% 30.22/30.62 Done
% 30.22/30.62
% 30.22/30.62 Resimplifying inuse:
% 30.22/30.62 Done
% 30.22/30.62
% 30.22/30.62
% 30.22/30.62 Intermediate Status:
% 30.22/30.62 Generated: 209155
% 30.22/30.62 Kept: 22490
% 30.22/30.62 Inuse: 1421
% 30.22/30.62 Deleted: 1009
% 30.22/30.62 Deletedinuse: 8
% 30.22/30.62
% 30.22/30.62 Resimplifying inuse:
% 30.22/30.62 Done
% 30.22/30.62
% 30.22/30.62 Resimplifying inuse:
% 30.22/30.62 Done
% 30.22/30.62
% 30.22/30.62
% 30.22/30.62 Intermediate Status:
% 30.22/30.62 Generated: 233687
% 30.22/30.62 Kept: 24490
% 30.22/30.62 Inuse: 1507
% 30.22/30.62 Deleted: 1009
% 30.22/30.62 Deletedinuse: 8
% 30.22/30.62
% 30.22/30.62 *** allocated 576640 integers for termspace/termends
% 30.22/30.62 Resimplifying inuse:
% 30.22/30.62 Done
% 30.22/30.62
% 30.22/30.62 Resimplifying inuse:
% 30.22/30.62 Done
% 30.22/30.62
% 30.22/30.62
% 30.22/30.62 Intermediate Status:
% 30.22/30.62 Generated: 252096
% 30.22/30.62 Kept: 26499
% 30.22/30.62 Inuse: 1595
% 30.22/30.62 Deleted: 1009
% 30.22/30.62 Deletedinuse: 8
% 30.22/30.62
% 30.22/30.62 Resimplifying inuse:
% 30.22/30.62 Done
% 30.22/30.62
% 30.22/30.62 Resimplifying inuse:
% 30.22/30.62 Done
% 30.22/30.62
% 30.22/30.62
% 30.22/30.62 Intermediate Status:
% 30.22/30.62 Generated: 281513
% 30.22/30.62 Kept: 28508
% 30.22/30.62 Inuse: 1663
% 30.22/30.62 Deleted: 1009
% 30.22/30.62 Deletedinuse: 8
% 30.22/30.62
% 30.22/30.62 Resimplifying inuse:
% 30.22/30.62 Done
% 30.22/30.62
% 30.22/30.62 *** allocated 1946160 integers for clauses
% 30.22/30.62
% 30.22/30.62 Intermediate Status:
% 30.22/30.62 Generated: 323516
% 30.22/30.62 Kept: 30563
% 30.22/30.62 Inuse: 1815
% 30.22/30.62 Deleted: 1012
% 30.22/30.62 Deletedinuse: 10
% 30.22/30.62
% 30.22/30.62 Resimplifying inuse:
% 30.22/30.62 Done
% 30.22/30.62
% 30.22/30.62 Resimplifying inuse:
% 30.22/30.62 Done
% 30.22/30.62
% 30.22/30.62
% 30.22/30.62 Intermediate Status:
% 30.22/30.62 Generated: 335050
% 30.22/30.62 Kept: 32574
% 30.22/30.62 Inuse: 1908
% 30.22/30.62 Deleted: 1026
% 30.22/30.62 Deletedinuse: 24
% 30.22/30.62
% 30.22/30.62 Resimplifying inuse:
% 30.22/30.62 Done
% 30.22/30.62
% 30.22/30.62 Resimplifying inuse:
% 30.22/30.62 Done
% 30.22/30.62
% 30.22/30.62
% 30.22/30.62 Intermediate Status:
% 30.22/30.62 Generated: 349328
% 30.22/30.62 Kept: 34579
% 30.22/30.62 Inuse: 2031
% 30.22/30.62 Deleted: 1040
% 30.22/30.62 Deletedinuse: 38
% 30.22/30.62
% 30.22/30.62 Resimplifying inuse:
% 30.22/30.62 Done
% 30.22/30.62
% 30.22/30.62 Resimplifying inuse:
% 30.22/30.62 Done
% 30.22/30.62
% 30.22/30.62
% 30.22/30.62 Intermediate Status:
% 30.22/30.62 Generated: 362548
% 30.22/30.62 Kept: 36587
% 30.22/30.62 Inuse: 2142
% 30.22/30.62 Deleted: 1048
% 30.22/30.62 Deletedinuse: 46
% 30.22/30.62
% 30.22/30.62 Resimplifying inuse:
% 30.22/30.62 Done
% 30.22/30.62
% 30.22/30.62 Resimplifying inuse:
% 30.22/30.62 Done
% 30.22/30.62
% 30.22/30.62
% 30.22/30.62 Intermediate Status:
% 30.22/30.62 Generated: 379796
% 30.22/30.62 Kept: 38588
% 30.22/30.62 Inuse: 2243
% 30.22/30.62 Deleted: 1058
% 30.22/30.62 Deletedinuse: 56
% 30.22/30.62
% 30.22/30.62 Resimplifying inuse:
% 30.22/30.62 Done
% 30.22/30.62
% 30.22/30.62 Resimplifying inuse:
% 30.22/30.62 Done
% 30.22/30.62
% 30.22/30.62 Resimplifying clauses:
% 30.22/30.62 Done
% 30.22/30.62
% 30.22/30.62
% 30.22/30.62 Intermediate Status:
% 30.22/30.62 Generated: 397491
% 30.22/30.62 Kept: 40614
% 30.22/30.62 Inuse: 2370
% 30.22/30.62 Deleted: 5058
% 30.22/30.62 Deletedinuse: 68
% 30.22/30.62
% 30.22/30.62 Resimplifying inuse:
% 30.22/30.62 Done
% 30.22/30.62
% 30.22/30.62 *** allocated 864960 integers for termspace/termends
% 30.22/30.62 Resimplifying inuse:
% 30.22/30.62 Done
% 30.22/30.62
% 30.22/30.62 *** allocated 2919240 integers for clauses
% 30.22/30.62
% 30.22/30.62 Intermediate Status:
% 30.22/30.62 Generated: 415097
% 30.22/30.62 Kept: 44413
% 30.22/30.62 Inuse: 2480
% 30.22/30.62 Deleted: 5082
% 30.22/30.62 Deletedinuse: 92
% 30.22/30.62
% 30.22/30.62 Resimplifying inuse:
% 30.22/30.62 Done
% 30.22/30.62
% 30.22/30.62
% 30.22/30.62 Intermediate Status:
% 30.22/30.62 Generated: 421491
% 30.22/30.62 Kept: 47028
% 30.22/30.62 Inuse: 2495
% 30.22/30.62 Deleted: 5082
% 30.22/30.62 Deletedinuse: 92
% 30.22/30.62
% 30.22/30.62 Resimplifying inuse:
% 30.22/30.62 Done
% 30.22/30.62
% 30.22/30.62
% 30.22/30.62 Intermediate Status:
% 30.22/30.62 Generated: 433840
% 30.22/30.62 Kept: 50304
% 30.22/30.62 Inuse: 2510
% 30.22/30.62 Deleted: 5082
% 30.22/30.62 Deletedinuse: 92
% 30.22/30.62
% 30.22/30.62 Resimplifying inuse:
% 30.22/30.62 Done
% 30.22/30.62
% 30.22/30.62 Resimplifying inuse:
% 30.22/30.62 Done
% 30.22/30.62
% 30.22/30.62
% 30.22/30.62 Intermediate Status:
% 30.22/30.62 Generated: 450178
% 30.22/30.62 Kept: 52307
% 30.22/30.62 Inuse: 2557
% 30.22/30.62 Deleted: 5089
% 30.22/30.62 Deletedinuse: 99
% 30.22/30.62
% 30.22/30.62 Resimplifying inuse:
% 30.22/30.62 Done
% 30.22/30.62
% 30.22/30.62 Resimplifying inuse:
% 30.22/30.62 Done
% 30.22/30.62
% 30.22/30.62
% 30.22/30.62 Intermediate Status:
% 30.22/30.62 Generated: 464585
% 30.22/30.62 Kept: 56192
% 30.22/30.62 Inuse: 2613
% 30.22/30.62 Deleted: 5097
% 30.22/30.62 Deletedinuse: 105
% 30.22/30.62
% 30.22/30.62 Resimplifying inuse:
% 30.22/30.62 Done
% 30.22/30.62
% 30.22/30.62 Resimplifying inuse:
% 30.22/30.62 Done
% 30.22/30.62
% 30.22/30.62
% 30.22/30.62 Intermediate Status:
% 30.22/30.62 Generated: 481343
% 30.22/30.62 Kept: 59267
% 30.22/30.62 Inuse: 2729
% 30.22/30.62 Deleted: 5101
% 30.22/30.62 Deletedinuse: 105
% 30.22/30.62
% 30.22/30.62 Resimplifying inuse:
% 30.22/30.62 Done
% 30.22/30.62
% 30.22/30.62 Resimplifying inuse:
% 30.22/30.62 Done
% 30.22/30.62
% 30.22/30.62 Resimplifying clauses:
% 30.22/30.62 Done
% 30.22/30.62
% 30.22/30.62
% 30.22/30.62 Intermediate Status:
% 30.22/30.62 Generated: 491976
% 30.22/30.62 Kept: 61280
% 30.22/30.62 Inuse: 2762
% 30.22/30.62 Deleted: 10212
% 30.22/30.62 Deletedinuse: 109
% 30.22/30.62
% 30.22/30.62 Resimplifying inuse:
% 30.22/30.62 Done
% 30.22/30.62
% 30.22/30.62
% 30.22/30.62 Bliksems!, er is een bewijs:
% 30.22/30.62 % SZS status Theorem
% 30.22/30.62 % SZS output start Refutation
% 30.22/30.62
% 30.22/30.62 (0) {G0,W8,D2,L2,V3,M2} I { ! coll( X, Y, Z ), coll( X, Z, Y ) }.
% 30.22/30.62 (1) {G0,W8,D2,L2,V3,M2} I { ! coll( X, Y, Z ), coll( Y, X, Z ) }.
% 30.22/30.62 (2) {G0,W12,D2,L3,V4,M3} I { ! coll( X, T, Y ), ! coll( X, T, Z ), coll( Y
% 30.22/30.62 , Z, X ) }.
% 30.22/30.62 (4) {G0,W10,D2,L2,V4,M2} I { ! para( X, Y, Z, T ), para( Z, T, X, Y ) }.
% 30.22/30.62 (5) {G0,W15,D2,L3,V6,M3} I { ! para( X, Y, U, W ), ! para( U, W, Z, T ),
% 30.22/30.62 para( X, Y, Z, T ) }.
% 30.22/30.62 (6) {G0,W10,D2,L2,V4,M2} I { ! perp( X, Y, Z, T ), perp( X, Y, T, Z ) }.
% 30.22/30.62 (7) {G0,W10,D2,L2,V4,M2} I { ! perp( X, Y, Z, T ), perp( Z, T, X, Y ) }.
% 30.22/30.62 (8) {G0,W15,D2,L3,V6,M3} I { ! perp( X, Y, U, W ), ! perp( U, W, Z, T ),
% 30.22/30.62 para( X, Y, Z, T ) }.
% 30.22/30.62 (13) {G0,W10,D2,L2,V4,M2} I { ! cyclic( X, Y, Z, T ), cyclic( X, Y, T, Z )
% 30.22/30.62 }.
% 30.22/30.62 (14) {G0,W10,D2,L2,V4,M2} I { ! cyclic( X, Y, Z, T ), cyclic( X, Z, Y, T )
% 30.22/30.62 }.
% 30.22/30.62 (15) {G0,W10,D2,L2,V4,M2} I { ! cyclic( X, Y, Z, T ), cyclic( Y, X, Z, T )
% 30.22/30.62 }.
% 30.22/30.62 (16) {G0,W15,D2,L3,V5,M3} I { ! cyclic( U, X, Y, Z ), ! cyclic( U, X, Y, T
% 30.22/30.62 ), cyclic( X, Y, Z, T ) }.
% 30.22/30.62 (18) {G0,W18,D2,L2,V8,M2} I { ! eqangle( X, Y, Z, T, U, W, V0, V1 ),
% 30.22/30.62 eqangle( Z, T, X, Y, V0, V1, U, W ) }.
% 30.22/30.62 (20) {G0,W18,D2,L2,V8,M2} I { ! eqangle( X, Y, Z, T, U, W, V0, V1 ),
% 30.22/30.62 eqangle( X, Y, U, W, Z, T, V0, V1 ) }.
% 30.22/30.62 (21) {G0,W27,D2,L3,V12,M3} I { ! eqangle( X, Y, Z, T, V2, V3, V4, V5 ), !
% 30.22/30.62 eqangle( V2, V3, V4, V5, U, W, V0, V1 ), eqangle( X, Y, Z, T, U, W, V0,
% 30.22/30.62 V1 ) }.
% 30.22/30.62 (38) {G0,W14,D2,L2,V6,M2} I { ! eqangle( X, Y, U, W, Z, T, U, W ), para( X
% 30.22/30.62 , Y, Z, T ) }.
% 30.22/30.62 (39) {G0,W14,D2,L2,V6,M2} I { ! para( X, Y, Z, T ), eqangle( X, Y, U, W, Z
% 30.22/30.62 , T, U, W ) }.
% 30.22/30.62 (40) {G0,W14,D2,L2,V4,M2} I { ! cyclic( X, Y, Z, T ), eqangle( Z, X, Z, Y,
% 30.22/30.62 T, X, T, Y ) }.
% 30.22/30.62 (42) {G0,W18,D2,L3,V4,M3} I { ! eqangle( Z, X, Z, Y, T, X, T, Y ), ! coll(
% 30.22/30.62 Z, T, Y ), cyclic( X, Y, Z, T ) }.
% 30.22/30.62 (43) {G0,W29,D2,L5,V6,M5} I { ! cyclic( X, Y, U, Z ), ! cyclic( X, Y, U, T
% 30.22/30.62 ), ! cyclic( X, Y, U, W ), ! eqangle( U, X, U, Y, W, Z, W, T ), cong( X
% 30.22/30.62 , Y, Z, T ) }.
% 30.22/30.62 (52) {G0,W14,D2,L3,V4,M3} I { ! perp( X, Y, Y, T ), ! midp( Z, X, T ), cong
% 30.22/30.62 ( X, Z, Y, Z ) }.
% 30.22/30.62 (56) {G0,W15,D2,L3,V4,M3} I { ! cong( X, Z, Y, Z ), ! cong( X, T, Y, T ),
% 30.22/30.62 perp( X, Y, Z, T ) }.
% 30.22/30.62 (57) {G0,W20,D2,L4,V4,M4} I { ! cong( X, Y, T, Y ), ! cong( X, Z, T, Z ), !
% 30.22/30.62 cyclic( X, T, Y, Z ), perp( Y, X, X, Z ) }.
% 30.22/30.62 (66) {G0,W9,D2,L2,V3,M2} I { ! para( X, Y, X, Z ), coll( X, Y, Z ) }.
% 30.22/30.62 (67) {G0,W13,D2,L3,V3,M3} I { ! cong( X, Y, X, Z ), ! coll( X, Y, Z ), midp
% 30.22/30.62 ( X, Y, Z ) }.
% 30.22/30.62 (119) {G0,W5,D2,L1,V0,M1} I { perp( skol22, skol20, skol27, skol28 ) }.
% 30.22/30.62 (127) {G0,W9,D2,L1,V0,M1} I { ! eqangle( skol20, skol23, skol23, skol24,
% 30.22/30.62 skol20, skol22, skol22, skol25 ) }.
% 30.22/30.62 (128) {G1,W8,D2,L2,V3,M2} F(2) { ! coll( X, Y, Z ), coll( Z, Z, X ) }.
% 30.22/30.62 (141) {G1,W15,D2,L3,V3,M3} F(57) { ! cong( X, Y, Z, Y ), ! cyclic( X, Z, Y
% 30.22/30.62 , Y ), perp( Y, X, X, Y ) }.
% 30.22/30.62 (204) {G1,W12,D2,L3,V4,M3} R(2,0) { ! coll( X, Y, Z ), ! coll( X, Y, T ),
% 30.22/30.62 coll( Z, X, T ) }.
% 30.22/30.62 (213) {G2,W8,D2,L2,V3,M2} F(204) { ! coll( X, Y, Z ), coll( Z, X, Z ) }.
% 30.22/30.62 (248) {G1,W15,D2,L3,V6,M3} R(5,4) { ! para( X, Y, Z, T ), para( U, W, Z, T
% 30.22/30.62 ), ! para( X, Y, U, W ) }.
% 30.22/30.62 (254) {G2,W10,D2,L2,V4,M2} F(248) { ! para( X, Y, Z, T ), para( Z, T, Z, T
% 30.22/30.62 ) }.
% 30.22/30.62 (255) {G1,W5,D2,L1,V0,M1} R(6,119) { perp( skol22, skol20, skol28, skol27 )
% 30.22/30.62 }.
% 30.22/30.62 (262) {G2,W5,D2,L1,V0,M1} R(7,255) { perp( skol28, skol27, skol22, skol20 )
% 30.22/30.62 }.
% 30.22/30.62 (289) {G2,W10,D2,L2,V2,M2} R(8,255) { ! perp( skol28, skol27, X, Y ), para
% 30.22/30.62 ( skol22, skol20, X, Y ) }.
% 30.22/30.62 (301) {G1,W15,D2,L3,V6,M3} R(8,4) { ! perp( X, Y, Z, T ), ! perp( Z, T, U,
% 30.22/30.62 W ), para( U, W, X, Y ) }.
% 30.22/30.62 (372) {G3,W5,D2,L1,V0,M1} R(262,6) { perp( skol28, skol27, skol20, skol22 )
% 30.22/30.62 }.
% 30.22/30.62 (413) {G3,W12,D2,L3,V4,M3} R(213,2) { coll( X, Y, X ), ! coll( X, Z, Y ), !
% 30.22/30.62 coll( X, Z, T ) }.
% 30.22/30.62 (430) {G4,W8,D2,L2,V3,M2} F(413) { coll( X, Y, X ), ! coll( X, Z, Y ) }.
% 30.22/30.62 (436) {G1,W10,D2,L2,V4,M2} R(14,13) { ! cyclic( X, Y, Z, T ), cyclic( X, Z
% 30.22/30.62 , T, Y ) }.
% 30.22/30.62 (443) {G1,W10,D2,L2,V4,M2} R(15,14) { cyclic( X, Y, Z, T ), ! cyclic( Y, Z
% 30.22/30.62 , X, T ) }.
% 30.22/30.62 (445) {G1,W10,D2,L2,V4,M2} R(15,13) { cyclic( X, Y, Z, T ), ! cyclic( Y, X
% 30.22/30.62 , T, Z ) }.
% 30.22/30.62 (462) {G1,W15,D2,L3,V5,M3} R(16,15) { ! cyclic( X, Y, Z, T ), ! cyclic( X,
% 30.22/30.62 Y, Z, U ), cyclic( Z, Y, T, U ) }.
% 30.22/30.62 (467) {G1,W15,D2,L3,V5,M3} R(16,13) { ! cyclic( X, Y, Z, T ), cyclic( Y, Z
% 30.22/30.62 , T, U ), ! cyclic( X, Y, U, Z ) }.
% 30.22/30.62 (471) {G2,W10,D2,L2,V4,M2} F(462) { ! cyclic( X, Y, Z, T ), cyclic( Z, Y, T
% 30.22/30.62 , T ) }.
% 30.22/30.62 (520) {G1,W27,D2,L3,V12,M3} R(21,20) { ! eqangle( X, Y, Z, T, U, W, V0, V1
% 30.22/30.62 ), eqangle( X, Y, Z, T, V2, V3, V4, V5 ), ! eqangle( U, W, V2, V3, V0,
% 30.22/30.62 V1, V4, V5 ) }.
% 30.22/30.62 (706) {G5,W8,D2,L2,V3,M2} R(430,1) { ! coll( X, Y, Z ), coll( Z, X, X ) }.
% 30.22/30.62 (708) {G5,W8,D2,L2,V3,M2} R(430,0) { ! coll( X, Y, Z ), coll( X, X, Z ) }.
% 30.22/30.62 (712) {G6,W8,D2,L2,V3,M2} R(706,0) { coll( X, Y, Y ), ! coll( Y, X, Z ) }.
% 30.22/30.62 (718) {G7,W8,D2,L2,V3,M2} R(712,712) { ! coll( X, Y, Z ), coll( X, Y, Y )
% 30.22/30.62 }.
% 30.22/30.62 (721) {G8,W12,D2,L3,V4,M3} R(718,2) { ! coll( X, Y, Z ), ! coll( X, Y, T )
% 30.22/30.62 , coll( T, Y, X ) }.
% 30.22/30.62 (722) {G9,W8,D2,L2,V3,M2} F(721) { ! coll( X, Y, Z ), coll( Z, Y, X ) }.
% 30.22/30.62 (729) {G10,W12,D2,L3,V4,M3} R(722,2) { coll( X, Y, Z ), ! coll( X, T, Z ),
% 30.22/30.62 ! coll( X, T, Y ) }.
% 30.22/30.62 (774) {G1,W14,D2,L2,V6,M2} R(39,20) { ! para( X, Y, Z, T ), eqangle( X, Y,
% 30.22/30.62 Z, T, U, W, U, W ) }.
% 30.22/30.62 (776) {G1,W14,D2,L2,V6,M2} R(39,18) { ! para( X, Y, Z, T ), eqangle( U, W,
% 30.22/30.62 X, Y, U, W, Z, T ) }.
% 30.22/30.62 (816) {G1,W10,D2,L2,V3,M2} R(40,38) { ! cyclic( X, Y, Z, Z ), para( Z, X, Z
% 30.22/30.62 , X ) }.
% 30.22/30.62 (983) {G1,W20,D2,L4,V4,M4} R(43,40);f { ! cyclic( X, Y, Z, X ), ! cyclic( X
% 30.22/30.62 , Y, Z, Y ), ! cyclic( X, Y, Z, T ), cong( X, Y, X, Y ) }.
% 30.22/30.62 (1015) {G2,W15,D2,L3,V3,M3} F(983) { ! cyclic( X, Y, Z, X ), ! cyclic( X, Y
% 30.22/30.62 , Z, Y ), cong( X, Y, X, Y ) }.
% 30.22/30.62 (18000) {G4,W5,D2,L1,V0,M1} R(289,372) { para( skol22, skol20, skol20,
% 30.22/30.62 skol22 ) }.
% 30.22/30.62 (18007) {G5,W5,D2,L1,V0,M1} R(18000,254) { para( skol20, skol22, skol20,
% 30.22/30.62 skol22 ) }.
% 30.22/30.62 (18017) {G6,W4,D2,L1,V0,M1} R(18007,66) { coll( skol20, skol22, skol22 )
% 30.22/30.62 }.
% 30.22/30.62 (18035) {G7,W4,D2,L1,V0,M1} R(18017,708) { coll( skol20, skol20, skol22 )
% 30.22/30.62 }.
% 30.22/30.62 (18118) {G8,W14,D2,L2,V1,M2} R(18035,42) { ! eqangle( skol20, X, skol20,
% 30.22/30.62 skol22, skol20, X, skol20, skol22 ), cyclic( X, skol22, skol20, skol20 )
% 30.22/30.62 }.
% 30.22/30.62 (57644) {G6,W9,D2,L1,V2,M1} R(776,18007) { eqangle( X, Y, skol20, skol22, X
% 30.22/30.62 , Y, skol20, skol22 ) }.
% 30.22/30.62 (60517) {G9,W5,D2,L1,V1,M1} S(18118);r(57644) { cyclic( X, skol22, skol20,
% 30.22/30.62 skol20 ) }.
% 30.22/30.62 (60553) {G10,W5,D2,L1,V1,M1} R(60517,445) { cyclic( skol22, X, skol20,
% 30.22/30.62 skol20 ) }.
% 30.22/30.62 (60562) {G11,W5,D2,L1,V1,M1} R(60553,471) { cyclic( skol20, X, skol20,
% 30.22/30.62 skol20 ) }.
% 30.22/30.62 (60580) {G12,W5,D2,L1,V1,M1} R(60562,443) { cyclic( skol20, skol20, X,
% 30.22/30.62 skol20 ) }.
% 30.22/30.62 (60581) {G12,W5,D2,L1,V1,M1} R(60562,436) { cyclic( skol20, skol20, skol20
% 30.22/30.62 , X ) }.
% 30.22/30.62 (60584) {G13,W5,D2,L1,V2,M1} R(60580,467);r(60581) { cyclic( skol20, skol20
% 30.22/30.62 , X, Y ) }.
% 30.22/30.62 (60942) {G14,W5,D2,L1,V3,M1} R(60584,467);r(60584) { cyclic( skol20, X, Y,
% 30.22/30.62 Z ) }.
% 30.22/30.62 (60957) {G15,W5,D2,L1,V4,M1} R(60942,467);r(60942) { cyclic( X, Y, Z, T )
% 30.22/30.62 }.
% 30.22/30.62 (60974) {G16,W5,D2,L1,V2,M1} S(816);r(60957) { para( Z, X, Z, X ) }.
% 30.22/30.62 (60984) {G17,W4,D2,L1,V2,M1} R(60974,66) { coll( X, Y, Y ) }.
% 30.22/30.62 (61030) {G18,W4,D2,L1,V2,M1} R(60984,128) { coll( X, X, Y ) }.
% 30.22/30.62 (61035) {G19,W4,D2,L1,V3,M1} R(61030,729);r(61030) { coll( X, Y, Z ) }.
% 30.22/30.62 (61323) {G16,W5,D2,L1,V2,M1} S(1015);r(60957);r(60957) { cong( X, Y, X, Y )
% 30.22/30.62 }.
% 30.22/30.62 (61327) {G17,W5,D2,L1,V2,M1} R(61323,141);r(60957) { perp( Y, X, X, Y ) }.
% 30.22/30.62 (61336) {G20,W4,D2,L1,V2,M1} R(61323,67);r(61035) { midp( X, Y, Y ) }.
% 30.22/30.62 (61360) {G21,W5,D2,L1,V3,M1} R(61336,52);r(61327) { cong( X, Z, Y, Z ) }.
% 30.22/30.62 (61425) {G22,W5,D2,L1,V4,M1} R(61360,56);r(61360) { perp( X, Z, T, Y ) }.
% 30.22/30.62 (61454) {G23,W5,D2,L1,V4,M1} R(61425,301);r(61425) { para( Z, T, U, W ) }.
% 30.22/30.62 (61463) {G24,W9,D2,L1,V6,M1} R(61454,776) { eqangle( X, Y, Z, T, X, Y, U, W
% 30.22/30.62 ) }.
% 30.22/30.62 (61464) {G24,W9,D2,L1,V6,M1} R(61454,774) { eqangle( X, Y, Z, T, U, W, U, W
% 30.22/30.62 ) }.
% 30.22/30.62 (61632) {G25,W9,D2,L1,V8,M1} R(61463,520);r(61464) { eqangle( X, Y, Z, T,
% 30.22/30.62 V0, V1, V2, V3 ) }.
% 30.22/30.62 (61633) {G26,W0,D0,L0,V0,M0} R(61632,127) { }.
% 30.22/30.62
% 30.22/30.62
% 30.22/30.62 % SZS output end Refutation
% 30.22/30.62 found a proof!
% 30.22/30.62
% 30.22/30.62
% 30.22/30.62 Unprocessed initial clauses:
% 30.22/30.62
% 30.22/30.62 (61635) {G0,W8,D2,L2,V3,M2} { ! coll( X, Y, Z ), coll( X, Z, Y ) }.
% 30.22/30.62 (61636) {G0,W8,D2,L2,V3,M2} { ! coll( X, Y, Z ), coll( Y, X, Z ) }.
% 30.22/30.62 (61637) {G0,W12,D2,L3,V4,M3} { ! coll( X, T, Y ), ! coll( X, T, Z ), coll
% 30.22/30.62 ( Y, Z, X ) }.
% 30.22/30.62 (61638) {G0,W10,D2,L2,V4,M2} { ! para( X, Y, Z, T ), para( X, Y, T, Z )
% 30.22/30.62 }.
% 30.22/30.62 (61639) {G0,W10,D2,L2,V4,M2} { ! para( X, Y, Z, T ), para( Z, T, X, Y )
% 30.22/30.62 }.
% 30.22/30.62 (61640) {G0,W15,D2,L3,V6,M3} { ! para( X, Y, U, W ), ! para( U, W, Z, T )
% 30.22/30.62 , para( X, Y, Z, T ) }.
% 30.22/30.62 (61641) {G0,W10,D2,L2,V4,M2} { ! perp( X, Y, Z, T ), perp( X, Y, T, Z )
% 30.22/30.62 }.
% 30.22/30.62 (61642) {G0,W10,D2,L2,V4,M2} { ! perp( X, Y, Z, T ), perp( Z, T, X, Y )
% 30.22/30.62 }.
% 30.22/30.62 (61643) {G0,W15,D2,L3,V6,M3} { ! perp( X, Y, U, W ), ! perp( U, W, Z, T )
% 30.22/30.62 , para( X, Y, Z, T ) }.
% 30.22/30.62 (61644) {G0,W15,D2,L3,V6,M3} { ! para( X, Y, U, W ), ! perp( U, W, Z, T )
% 30.22/30.62 , perp( X, Y, Z, T ) }.
% 30.22/30.62 (61645) {G0,W8,D2,L2,V3,M2} { ! midp( Z, Y, X ), midp( Z, X, Y ) }.
% 30.22/30.62 (61646) {G0,W15,D2,L3,V4,M3} { ! cong( T, X, T, Y ), ! cong( T, X, T, Z )
% 30.22/30.62 , circle( T, X, Y, Z ) }.
% 30.22/30.62 (61647) {G0,W20,D2,L4,V5,M4} { ! cong( U, X, U, Y ), ! cong( U, X, U, Z )
% 30.22/30.62 , ! cong( U, X, U, T ), cyclic( X, Y, Z, T ) }.
% 30.22/30.62 (61648) {G0,W10,D2,L2,V4,M2} { ! cyclic( X, Y, Z, T ), cyclic( X, Y, T, Z
% 30.22/30.62 ) }.
% 30.22/30.62 (61649) {G0,W10,D2,L2,V4,M2} { ! cyclic( X, Y, Z, T ), cyclic( X, Z, Y, T
% 30.22/30.62 ) }.
% 30.22/30.62 (61650) {G0,W10,D2,L2,V4,M2} { ! cyclic( X, Y, Z, T ), cyclic( Y, X, Z, T
% 30.22/30.62 ) }.
% 30.22/30.62 (61651) {G0,W15,D2,L3,V5,M3} { ! cyclic( U, X, Y, Z ), ! cyclic( U, X, Y,
% 30.22/30.62 T ), cyclic( X, Y, Z, T ) }.
% 30.22/30.62 (61652) {G0,W18,D2,L2,V8,M2} { ! eqangle( X, Y, Z, T, U, W, V0, V1 ),
% 30.22/30.62 eqangle( Y, X, Z, T, U, W, V0, V1 ) }.
% 30.22/30.62 (61653) {G0,W18,D2,L2,V8,M2} { ! eqangle( X, Y, Z, T, U, W, V0, V1 ),
% 30.22/30.62 eqangle( Z, T, X, Y, V0, V1, U, W ) }.
% 30.22/30.62 (61654) {G0,W18,D2,L2,V8,M2} { ! eqangle( X, Y, Z, T, U, W, V0, V1 ),
% 30.22/30.62 eqangle( U, W, V0, V1, X, Y, Z, T ) }.
% 30.22/30.62 (61655) {G0,W18,D2,L2,V8,M2} { ! eqangle( X, Y, Z, T, U, W, V0, V1 ),
% 30.22/30.62 eqangle( X, Y, U, W, Z, T, V0, V1 ) }.
% 30.22/30.62 (61656) {G0,W27,D2,L3,V12,M3} { ! eqangle( X, Y, Z, T, V2, V3, V4, V5 ), !
% 30.22/30.62 eqangle( V2, V3, V4, V5, U, W, V0, V1 ), eqangle( X, Y, Z, T, U, W, V0,
% 30.22/30.62 V1 ) }.
% 30.22/30.62 (61657) {G0,W10,D2,L2,V4,M2} { ! cong( X, Y, Z, T ), cong( X, Y, T, Z )
% 30.22/30.62 }.
% 30.22/30.62 (61658) {G0,W10,D2,L2,V4,M2} { ! cong( X, Y, Z, T ), cong( Z, T, X, Y )
% 30.22/30.62 }.
% 30.22/30.62 (61659) {G0,W15,D2,L3,V6,M3} { ! cong( X, Y, U, W ), ! cong( U, W, Z, T )
% 30.22/30.62 , cong( X, Y, Z, T ) }.
% 30.22/30.62 (61660) {G0,W18,D2,L2,V8,M2} { ! eqratio( X, Y, Z, T, U, W, V0, V1 ),
% 30.22/30.62 eqratio( Y, X, Z, T, U, W, V0, V1 ) }.
% 30.22/30.62 (61661) {G0,W18,D2,L2,V8,M2} { ! eqratio( X, Y, Z, T, U, W, V0, V1 ),
% 30.22/30.62 eqratio( Z, T, X, Y, V0, V1, U, W ) }.
% 30.22/30.62 (61662) {G0,W18,D2,L2,V8,M2} { ! eqratio( X, Y, Z, T, U, W, V0, V1 ),
% 30.22/30.62 eqratio( U, W, V0, V1, X, Y, Z, T ) }.
% 30.22/30.62 (61663) {G0,W18,D2,L2,V8,M2} { ! eqratio( X, Y, Z, T, U, W, V0, V1 ),
% 30.22/30.62 eqratio( X, Y, U, W, Z, T, V0, V1 ) }.
% 30.22/30.62 (61664) {G0,W27,D2,L3,V12,M3} { ! eqratio( X, Y, Z, T, V2, V3, V4, V5 ), !
% 30.22/30.62 eqratio( V2, V3, V4, V5, U, W, V0, V1 ), eqratio( X, Y, Z, T, U, W, V0,
% 30.22/30.62 V1 ) }.
% 30.22/30.62 (61665) {G0,W14,D2,L2,V6,M2} { ! simtri( X, Z, Y, T, W, U ), simtri( X, Y
% 30.22/30.62 , Z, T, U, W ) }.
% 30.22/30.62 (61666) {G0,W14,D2,L2,V6,M2} { ! simtri( Y, X, Z, U, T, W ), simtri( X, Y
% 30.22/30.62 , Z, T, U, W ) }.
% 30.22/30.62 (61667) {G0,W14,D2,L2,V6,M2} { ! simtri( T, U, W, X, Y, Z ), simtri( X, Y
% 30.22/30.62 , Z, T, U, W ) }.
% 30.22/30.62 (61668) {G0,W21,D2,L3,V9,M3} { ! simtri( X, Y, Z, V0, V1, V2 ), ! simtri(
% 30.22/30.62 V0, V1, V2, T, U, W ), simtri( X, Y, Z, T, U, W ) }.
% 30.22/30.62 (61669) {G0,W14,D2,L2,V6,M2} { ! contri( X, Z, Y, T, W, U ), contri( X, Y
% 30.22/30.62 , Z, T, U, W ) }.
% 30.22/30.62 (61670) {G0,W14,D2,L2,V6,M2} { ! contri( Y, X, Z, U, T, W ), contri( X, Y
% 30.22/30.62 , Z, T, U, W ) }.
% 30.22/30.62 (61671) {G0,W14,D2,L2,V6,M2} { ! contri( T, U, W, X, Y, Z ), contri( X, Y
% 30.22/30.62 , Z, T, U, W ) }.
% 30.22/30.62 (61672) {G0,W21,D2,L3,V9,M3} { ! contri( X, Y, Z, V0, V1, V2 ), ! contri(
% 30.22/30.62 V0, V1, V2, T, U, W ), contri( X, Y, Z, T, U, W ) }.
% 30.22/30.62 (61673) {G0,W14,D2,L2,V6,M2} { ! eqangle( X, Y, U, W, Z, T, U, W ), para(
% 30.22/30.62 X, Y, Z, T ) }.
% 30.22/30.62 (61674) {G0,W14,D2,L2,V6,M2} { ! para( X, Y, Z, T ), eqangle( X, Y, U, W,
% 30.22/30.62 Z, T, U, W ) }.
% 30.22/30.62 (61675) {G0,W14,D2,L2,V4,M2} { ! cyclic( X, Y, Z, T ), eqangle( Z, X, Z, Y
% 30.22/30.62 , T, X, T, Y ) }.
% 30.22/30.62 (61676) {G0,W18,D2,L3,V4,M3} { ! eqangle( Z, X, Z, Y, T, X, T, Y ), coll(
% 30.22/30.62 Z, T, X ), cyclic( X, Y, Z, T ) }.
% 30.22/30.62 (61677) {G0,W18,D2,L3,V4,M3} { ! eqangle( Z, X, Z, Y, T, X, T, Y ), ! coll
% 30.22/30.62 ( Z, T, Y ), cyclic( X, Y, Z, T ) }.
% 30.22/30.62 (61678) {G0,W29,D2,L5,V6,M5} { ! cyclic( X, Y, U, Z ), ! cyclic( X, Y, U,
% 30.22/30.62 T ), ! cyclic( X, Y, U, W ), ! eqangle( U, X, U, Y, W, Z, W, T ), cong( X
% 30.22/30.62 , Y, Z, T ) }.
% 30.22/30.62 (61679) {G0,W13,D2,L3,V5,M3} { ! midp( Z, U, X ), ! midp( T, U, Y ), para
% 30.22/30.62 ( Z, T, X, Y ) }.
% 30.22/30.62 (61680) {G0,W17,D2,L4,V5,M4} { ! midp( U, X, T ), ! para( U, Z, T, Y ), !
% 30.22/30.62 coll( Z, X, Y ), midp( Z, X, Y ) }.
% 30.22/30.62 (61681) {G0,W14,D2,L2,V3,M2} { ! cong( Z, X, Z, Y ), eqangle( Z, X, X, Y,
% 30.22/30.62 X, Y, Z, Y ) }.
% 30.22/30.62 (61682) {G0,W18,D2,L3,V3,M3} { ! eqangle( Z, X, X, Y, X, Y, Z, Y ), coll(
% 30.22/30.62 Z, X, Y ), cong( Z, X, Z, Y ) }.
% 30.22/30.62 (61683) {G0,W19,D2,L3,V5,M3} { ! circle( U, X, Y, Z ), ! perp( U, X, X, T
% 30.22/30.62 ), eqangle( X, T, X, Y, Z, X, Z, Y ) }.
% 30.22/30.62 (61684) {G0,W19,D2,L3,V5,M3} { ! circle( Y, X, T, U ), ! eqangle( X, Z, X
% 30.22/30.62 , T, U, X, U, T ), perp( Y, X, X, Z ) }.
% 30.22/30.62 (61685) {G0,W18,D2,L3,V5,M3} { ! circle( T, X, Y, Z ), ! midp( U, Y, Z ),
% 30.22/30.62 eqangle( X, Y, X, Z, T, Y, T, U ) }.
% 30.22/30.62 (61686) {G0,W22,D2,L4,V5,M4} { ! circle( U, T, X, Y ), ! coll( Z, X, Y ),
% 30.22/30.62 ! eqangle( T, X, T, Y, U, X, U, Z ), midp( Z, X, Y ) }.
% 30.22/30.62 (61687) {G0,W14,D2,L3,V4,M3} { ! perp( X, Y, Y, T ), ! midp( Z, X, T ),
% 30.22/30.62 cong( X, Z, Y, Z ) }.
% 30.22/30.62 (61688) {G0,W14,D2,L3,V4,M3} { ! circle( T, X, Y, Z ), ! coll( T, X, Z ),
% 30.22/30.62 perp( X, Y, Y, Z ) }.
% 30.22/30.62 (61689) {G0,W19,D2,L3,V4,M3} { ! cyclic( X, Y, Z, T ), ! para( X, Y, Z, T
% 30.22/30.62 ), eqangle( X, T, Z, T, Z, T, Z, Y ) }.
% 30.22/30.62 (61690) {G0,W14,D2,L3,V4,M3} { ! midp( T, X, Y ), ! perp( Z, T, X, Y ),
% 30.22/30.62 cong( Z, X, Z, Y ) }.
% 30.22/30.62 (61691) {G0,W15,D2,L3,V4,M3} { ! cong( X, Z, Y, Z ), ! cong( X, T, Y, T )
% 30.22/30.62 , perp( X, Y, Z, T ) }.
% 30.22/30.62 (61692) {G0,W20,D2,L4,V4,M4} { ! cong( X, Y, T, Y ), ! cong( X, Z, T, Z )
% 30.22/30.62 , ! cyclic( X, T, Y, Z ), perp( Y, X, X, Z ) }.
% 30.22/30.62 (61693) {G0,W29,D2,L4,V6,M4} { ! eqangle( X, Y, Y, Z, T, U, U, W ), !
% 30.22/30.62 eqangle( X, Z, Y, Z, T, W, U, W ), coll( X, Y, Z ), simtri( X, Y, Z, T, U
% 30.22/30.62 , W ) }.
% 30.22/30.62 (61694) {G0,W16,D2,L2,V6,M2} { ! simtri( X, Y, Z, T, U, W ), eqratio( X, Y
% 30.22/30.62 , X, Z, T, U, T, W ) }.
% 30.22/30.62 (61695) {G0,W16,D2,L2,V6,M2} { ! simtri( X, Y, Z, T, U, W ), eqangle( X, Y
% 30.22/30.62 , Y, Z, T, U, U, W ) }.
% 30.22/30.62 (61696) {G0,W19,D2,L3,V6,M3} { ! simtri( X, Y, Z, T, U, W ), ! cong( X, Y
% 30.22/30.62 , T, U ), contri( X, Y, Z, T, U, W ) }.
% 30.22/30.62 (61697) {G0,W12,D2,L2,V6,M2} { ! contri( X, Y, U, Z, T, W ), cong( X, Y, Z
% 30.22/30.62 , T ) }.
% 30.22/30.62 (61698) {G0,W13,D2,L3,V5,M3} { ! midp( U, X, Y ), ! midp( U, Z, T ), para
% 30.22/30.62 ( X, Z, Y, T ) }.
% 30.22/30.62 (61699) {G0,W18,D2,L4,V5,M4} { ! midp( Z, T, U ), ! para( T, X, U, Y ), !
% 30.22/30.62 para( T, Y, U, X ), midp( Z, X, Y ) }.
% 30.22/30.62 (61700) {G0,W22,D2,L4,V5,M4} { ! para( X, Y, Z, T ), ! coll( U, X, Z ), !
% 30.22/30.62 coll( U, Y, T ), eqratio( U, X, X, Z, U, Y, Y, T ) }.
% 30.22/30.62 (61701) {G0,W9,D2,L2,V3,M2} { ! para( X, Y, X, Z ), coll( X, Y, Z ) }.
% 30.22/30.62 (61702) {G0,W13,D2,L3,V3,M3} { ! cong( X, Y, X, Z ), ! coll( X, Y, Z ),
% 30.22/30.62 midp( X, Y, Z ) }.
% 30.22/30.62 (61703) {G0,W9,D2,L2,V3,M2} { ! midp( X, Y, Z ), cong( X, Y, X, Z ) }.
% 30.22/30.62 (61704) {G0,W8,D2,L2,V3,M2} { ! midp( X, Y, Z ), coll( X, Y, Z ) }.
% 30.22/30.62 (61705) {G0,W17,D2,L3,V6,M3} { ! midp( U, X, Y ), ! midp( W, Z, T ),
% 30.22/30.62 eqratio( U, X, X, Y, W, Z, Z, T ) }.
% 30.22/30.62 (61706) {G0,W19,D2,L3,V4,M3} { ! eqangle( X, Y, Z, T, Z, T, X, Y ), para(
% 30.22/30.62 X, Y, Z, T ), perp( X, Y, Z, T ) }.
% 30.22/30.62 (61707) {G0,W19,D2,L3,V4,M3} { ! eqangle( X, Y, Z, T, Z, T, X, Y ), perp(
% 30.22/30.62 X, Y, Z, T ), para( X, Y, Z, T ) }.
% 30.22/30.62 (61708) {G0,W19,D2,L3,V8,M3} { ! eqangle( X, Y, Z, T, U, W, V0, V1 ), !
% 30.22/30.62 para( U, W, V0, V1 ), para( X, Y, Z, T ) }.
% 30.22/30.62 (61709) {G0,W19,D2,L3,V8,M3} { ! eqangle( X, Y, Z, T, U, W, V0, V1 ), !
% 30.22/30.62 perp( U, W, V0, V1 ), perp( X, Y, Z, T ) }.
% 30.22/30.62 (61710) {G0,W19,D2,L3,V8,M3} { ! eqratio( X, Y, Z, T, U, W, V0, V1 ), !
% 30.22/30.62 cong( U, W, V0, V1 ), cong( X, Y, Z, T ) }.
% 30.22/30.62 (61711) {G0,W22,D3,L3,V6,M3} { ! perp( Z, Y, Y, X ), ! eqangle( T, Z, Y, Z
% 30.22/30.62 , Y, Z, X, Z ), coll( skol1( U, W, Z, T ), Z, T ) }.
% 30.22/30.62 (61712) {G0,W22,D3,L3,V4,M3} { ! perp( Z, Y, Y, X ), ! eqangle( T, Z, Y, Z
% 30.22/30.62 , Y, Z, X, Z ), coll( skol1( X, Y, Z, T ), X, Y ) }.
% 30.22/30.62 (61713) {G0,W22,D3,L3,V6,M3} { ! cong( Z, X, Z, Y ), ! eqangle( X, Z, Z, T
% 30.22/30.62 , Z, T, Z, Y ), coll( skol2( U, W, Z, T ), Z, T ) }.
% 30.22/30.62 (61714) {G0,W22,D3,L3,V4,M3} { ! cong( Z, X, Z, Y ), ! eqangle( X, Z, Z, T
% 30.22/30.62 , Z, T, Z, Y ), coll( Y, X, skol2( X, Y, Z, T ) ) }.
% 30.22/30.62 (61715) {G0,W22,D3,L3,V6,M3} { ! perp( Z, T, X, Y ), ! eqangle( X, Z, Z, T
% 30.22/30.62 , Z, T, Z, Y ), coll( skol3( U, W, Z, T ), Z, T ) }.
% 30.22/30.62 (61716) {G0,W22,D3,L3,V4,M3} { ! perp( Z, T, X, Y ), ! eqangle( X, Z, Z, T
% 30.22/30.62 , Z, T, Z, Y ), coll( Y, X, skol3( X, Y, Z, T ) ) }.
% 30.22/30.62 (61717) {G0,W18,D3,L3,V6,M3} { ! perp( Z, T, X, Y ), ! cong( Z, X, Z, Y )
% 30.22/30.62 , coll( skol4( U, W, Z, T ), Z, T ) }.
% 30.22/30.62 (61718) {G0,W18,D3,L3,V4,M3} { ! perp( Z, T, X, Y ), ! cong( Z, X, Z, Y )
% 30.22/30.62 , coll( Y, X, skol4( X, Y, Z, T ) ) }.
% 30.22/30.62 (61719) {G0,W22,D3,L3,V6,M3} { ! eqangle( X, Z, Y, Z, X, T, Y, U ), coll(
% 30.22/30.62 X, Y, Z ), cyclic( T, Y, Z, skol5( W, Y, Z, T ) ) }.
% 30.22/30.62 (61720) {G0,W30,D3,L3,V5,M3} { ! eqangle( X, Z, Y, Z, X, T, Y, U ), coll(
% 30.22/30.62 X, Y, Z ), eqangle( X, Z, Y, Z, X, skol5( X, Y, Z, T ), Y, skol5( X, Y, Z
% 30.22/30.62 , T ) ) }.
% 30.22/30.62 (61721) {G0,W18,D3,L3,V10,M3} { ! midp( U, X, Y ), ! midp( W, Z, T ), midp
% 30.22/30.62 ( skol6( X, V0, V1, T, V2, V3 ), X, T ) }.
% 30.22/30.62 (61722) {G0,W19,D3,L3,V8,M3} { ! midp( U, X, Y ), ! midp( W, Z, T ), para
% 30.22/30.62 ( skol6( X, V0, Z, T, V1, W ), W, X, Z ) }.
% 30.22/30.62 (61723) {G0,W19,D3,L3,V6,M3} { ! midp( U, X, Y ), ! midp( W, Z, T ), para
% 30.22/30.62 ( skol6( X, Y, Z, T, U, W ), U, Y, T ) }.
% 30.22/30.62 (61724) {G0,W22,D3,L5,V7,M5} { ! midp( Z, X, Y ), ! midp( W, T, U ), !
% 30.22/30.62 coll( T, X, Y ), ! coll( U, X, Y ), midp( skol7( X, V0 ), X, V0 ) }.
% 30.22/30.62 (61725) {G0,W26,D3,L5,V8,M5} { ! midp( T, X, U ), ! para( X, W, Z, T ), !
% 30.22/30.62 para( X, W, U, Y ), ! coll( W, Y, Z ), coll( skol8( V0, V1, Z, T ), T, Z
% 30.22/30.62 ) }.
% 30.22/30.62 (61726) {G0,W26,D3,L5,V6,M5} { ! midp( T, X, U ), ! para( X, W, Z, T ), !
% 30.22/30.62 para( X, W, U, Y ), ! coll( W, Y, Z ), coll( skol8( X, Y, Z, T ), X, Y )
% 30.22/30.62 }.
% 30.22/30.62 (61727) {G0,W19,D3,L3,V7,M3} { ! cong( T, Z, T, U ), ! perp( X, Y, Y, T )
% 30.22/30.62 , cong( T, Z, T, skol9( W, V0, Z, T ) ) }.
% 30.22/30.62 (61728) {G0,W19,D3,L3,V6,M3} { ! cong( T, Z, T, U ), ! perp( X, Y, Y, T )
% 30.22/30.62 , cong( Y, Z, Y, skol9( W, Y, Z, T ) ) }.
% 30.22/30.62 (61729) {G0,W19,D3,L3,V5,M3} { ! cong( T, Z, T, U ), ! perp( X, Y, Y, T )
% 30.22/30.62 , para( skol9( X, Y, Z, T ), Z, X, Y ) }.
% 30.22/30.62 (61730) {G0,W17,D3,L3,V5,M3} { ! perp( X, T, Y, Z ), ! perp( Y, T, X, Z )
% 30.22/30.62 , coll( skol10( U, Y, Z ), Z, Y ) }.
% 30.22/30.62 (61731) {G0,W18,D3,L3,V4,M3} { ! perp( X, T, Y, Z ), ! perp( Y, T, X, Z )
% 30.22/30.62 , perp( X, skol10( X, Y, Z ), Z, Y ) }.
% 30.22/30.62 (61732) {G0,W14,D2,L3,V4,M3} { ! perp( X, T, Y, Z ), ! perp( Y, T, X, Z )
% 30.22/30.62 , alpha1( X, Y, Z ) }.
% 30.22/30.62 (61733) {G0,W11,D3,L2,V4,M2} { ! alpha1( X, Y, Z ), coll( skol11( X, T, Z
% 30.22/30.62 ), Z, X ) }.
% 30.22/30.62 (61734) {G0,W12,D3,L2,V3,M2} { ! alpha1( X, Y, Z ), perp( Y, skol11( X, Y
% 30.22/30.62 , Z ), Z, X ) }.
% 30.22/30.62 (61735) {G0,W13,D2,L3,V4,M3} { ! coll( T, Z, X ), ! perp( Y, T, Z, X ),
% 30.22/30.62 alpha1( X, Y, Z ) }.
% 30.22/30.62 (61736) {G0,W12,D3,L2,V4,M2} { ! circle( Y, X, Z, T ), perp( skol12( X, Y
% 30.22/30.62 ), X, X, Y ) }.
% 30.22/30.62 (61737) {G0,W28,D3,L5,V8,M5} { ! circle( W, X, Y, Z ), ! cong( W, X, W, T
% 30.22/30.62 ), ! cong( U, X, U, Y ), W = U, alpha2( X, Z, U, skol13( X, V0, Z, V1, U
% 30.22/30.62 ) ) }.
% 30.22/30.62 (61738) {G0,W26,D3,L5,V8,M5} { ! circle( W, X, Y, Z ), ! cong( W, X, W, T
% 30.22/30.62 ), ! cong( U, X, U, Y ), W = U, coll( skol21( V0, Y, T, V1 ), Y, T ) }.
% 30.22/30.62 (61739) {G0,W27,D3,L5,V6,M5} { ! circle( W, X, Y, Z ), ! cong( W, X, W, T
% 30.22/30.62 ), ! cong( U, X, U, Y ), W = U, cong( skol21( X, Y, T, U ), U, U, X )
% 30.22/30.62 }.
% 30.22/30.62 (61740) {G0,W9,D2,L2,V4,M2} { ! alpha2( X, Y, Z, T ), coll( T, X, Y ) }.
% 30.22/30.62 (61741) {G0,W10,D2,L2,V4,M2} { ! alpha2( X, Y, Z, T ), cong( T, Z, Z, X )
% 30.22/30.62 }.
% 30.22/30.62 (61742) {G0,W14,D2,L3,V4,M3} { ! coll( T, X, Y ), ! cong( T, Z, Z, X ),
% 30.22/30.62 alpha2( X, Y, Z, T ) }.
% 30.22/30.62 (61743) {G0,W22,D3,L4,V5,M4} { ! cyclic( X, Y, Z, T ), ! para( X, Y, Z, T
% 30.22/30.62 ), ! midp( U, X, Y ), circle( skol14( X, Y, Z ), X, Y, Z ) }.
% 30.22/30.62 (61744) {G0,W18,D3,L3,V4,M3} { ! perp( X, Z, Z, Y ), ! cyclic( X, Y, Z, T
% 30.22/30.62 ), circle( skol15( X, Y, Z ), X, Y, Z ) }.
% 30.22/30.62 (61745) {G0,W16,D3,L3,V6,M3} { ! perp( X, U, U, T ), ! coll( T, Y, Z ),
% 30.22/30.62 coll( skol16( W, Y, Z ), Y, Z ) }.
% 30.22/30.62 (61746) {G0,W17,D3,L3,V5,M3} { ! perp( X, U, U, T ), ! coll( T, Y, Z ),
% 30.22/30.62 perp( skol16( X, Y, Z ), X, Y, Z ) }.
% 30.22/30.62 (61747) {G0,W20,D3,L4,V5,M4} { ! perp( X, Z, X, Y ), ! perp( Y, X, Y, T )
% 30.22/30.62 , ! midp( U, Z, T ), midp( skol17( X, Y ), X, Y ) }.
% 30.22/30.62 (61748) {G0,W16,D3,L3,V3,M3} { ! cong( Y, X, Y, Z ), ! perp( X, Y, Y, Z )
% 30.22/30.62 , coll( X, Y, skol18( X, Y ) ) }.
% 30.22/30.62 (61749) {G0,W17,D3,L3,V3,M3} { ! cong( Y, X, Y, Z ), ! perp( X, Y, Y, Z )
% 30.22/30.62 , cong( Y, X, Y, skol18( X, Y ) ) }.
% 30.22/30.62 (61750) {G0,W25,D3,L5,V8,M5} { ! para( U, W, X, Y ), ! coll( Z, U, X ), !
% 30.22/30.62 coll( Z, W, Y ), ! coll( T, U, W ), coll( Z, T, skol19( V0, V1, Z, T ) )
% 30.22/30.62 }.
% 30.22/30.62 (61751) {G0,W25,D3,L5,V6,M5} { ! para( U, W, X, Y ), ! coll( Z, U, X ), !
% 30.22/30.62 coll( Z, W, Y ), ! coll( T, U, W ), coll( skol19( X, Y, Z, T ), X, Y )
% 30.22/30.62 }.
% 30.22/30.62 (61752) {G0,W5,D2,L1,V0,M1} { circle( skol29, skol26, skol27, skol28 ) }.
% 30.22/30.62 (61753) {G0,W5,D2,L1,V0,M1} { circle( skol29, skol26, skol30, skol31 ) }.
% 30.22/30.62 (61754) {G0,W5,D2,L1,V0,M1} { circle( skol29, skol26, skol20, skol32 ) }.
% 30.22/30.62 (61755) {G0,W5,D2,L1,V0,M1} { perp( skol22, skol20, skol27, skol28 ) }.
% 30.22/30.62 (61756) {G0,W4,D2,L1,V0,M1} { coll( skol22, skol27, skol28 ) }.
% 30.22/30.62 (61757) {G0,W5,D2,L1,V0,M1} { perp( skol23, skol20, skol26, skol27 ) }.
% 30.22/30.62 (61758) {G0,W4,D2,L1,V0,M1} { coll( skol23, skol26, skol27 ) }.
% 30.22/30.62 (61759) {G0,W5,D2,L1,V0,M1} { perp( skol24, skol20, skol26, skol30 ) }.
% 30.22/30.62 (61760) {G0,W4,D2,L1,V0,M1} { coll( skol24, skol26, skol30 ) }.
% 30.22/30.62 (61761) {G0,W5,D2,L1,V0,M1} { perp( skol25, skol20, skol28, skol30 ) }.
% 30.22/30.62 (61762) {G0,W4,D2,L1,V0,M1} { coll( skol25, skol28, skol30 ) }.
% 30.22/30.62 (61763) {G0,W9,D2,L1,V0,M1} { ! eqangle( skol20, skol23, skol23, skol24,
% 30.22/30.62 skol20, skol22, skol22, skol25 ) }.
% 30.22/30.62
% 30.22/30.62
% 30.22/30.62 Total Proof:
% 30.22/30.62
% 30.22/30.62 subsumption: (0) {G0,W8,D2,L2,V3,M2} I { ! coll( X, Y, Z ), coll( X, Z, Y )
% 30.22/30.62 }.
% 30.22/30.62 parent0: (61635) {G0,W8,D2,L2,V3,M2} { ! coll( X, Y, Z ), coll( X, Z, Y )
% 30.22/30.62 }.
% 30.22/30.62 substitution0:
% 30.22/30.62 X := X
% 30.22/30.62 Y := Y
% 30.22/30.62 Z := Z
% 30.22/30.62 end
% 30.22/30.62 permutation0:
% 30.22/30.62 0 ==> 0
% 30.22/30.62 1 ==> 1
% 30.22/30.62 end
% 30.22/30.62
% 30.22/30.62 subsumption: (1) {G0,W8,D2,L2,V3,M2} I { ! coll( X, Y, Z ), coll( Y, X, Z )
% 30.22/30.62 }.
% 30.22/30.62 parent0: (61636) {G0,W8,D2,L2,V3,M2} { ! coll( X, Y, Z ), coll( Y, X, Z )
% 30.22/30.62 }.
% 30.22/30.62 substitution0:
% 30.22/30.62 X := X
% 30.22/30.62 Y := Y
% 30.22/30.62 Z := Z
% 30.22/30.62 end
% 30.22/30.62 permutation0:
% 30.22/30.62 0 ==> 0
% 30.22/30.62 1 ==> 1
% 30.22/30.62 end
% 30.22/30.62
% 30.22/30.62 subsumption: (2) {G0,W12,D2,L3,V4,M3} I { ! coll( X, T, Y ), ! coll( X, T,
% 30.22/30.62 Z ), coll( Y, Z, X ) }.
% 30.22/30.62 parent0: (61637) {G0,W12,D2,L3,V4,M3} { ! coll( X, T, Y ), ! coll( X, T, Z
% 30.22/30.62 ), coll( Y, Z, X ) }.
% 30.22/30.62 substitution0:
% 30.22/30.62 X := X
% 30.22/30.62 Y := Y
% 30.22/30.62 Z := Z
% 30.22/30.62 T := T
% 30.22/30.62 end
% 30.22/30.62 permutation0:
% 30.22/30.62 0 ==> 0
% 30.22/30.62 1 ==> 1
% 30.22/30.62 2 ==> 2
% 30.22/30.62 end
% 30.22/30.62
% 30.22/30.62 subsumption: (4) {G0,W10,D2,L2,V4,M2} I { ! para( X, Y, Z, T ), para( Z, T
% 30.22/30.62 , X, Y ) }.
% 30.22/30.62 parent0: (61639) {G0,W10,D2,L2,V4,M2} { ! para( X, Y, Z, T ), para( Z, T,
% 30.22/30.62 X, Y ) }.
% 30.22/30.62 substitution0:
% 30.22/30.62 X := X
% 30.22/30.62 Y := Y
% 30.22/30.62 Z := Z
% 30.22/30.62 T := T
% 30.22/30.62 end
% 30.22/30.62 permutation0:
% 30.22/30.62 0 ==> 0
% 30.22/30.62 1 ==> 1
% 30.22/30.62 end
% 30.22/30.62
% 30.22/30.62 subsumption: (5) {G0,W15,D2,L3,V6,M3} I { ! para( X, Y, U, W ), ! para( U,
% 30.22/30.62 W, Z, T ), para( X, Y, Z, T ) }.
% 30.22/30.62 parent0: (61640) {G0,W15,D2,L3,V6,M3} { ! para( X, Y, U, W ), ! para( U, W
% 30.22/30.62 , Z, T ), para( X, Y, Z, T ) }.
% 30.22/30.62 substitution0:
% 30.22/30.62 X := X
% 30.22/30.62 Y := Y
% 30.22/30.62 Z := Z
% 30.22/30.62 T := T
% 30.22/30.62 U := U
% 30.22/30.62 W := W
% 30.22/30.62 end
% 30.22/30.62 permutation0:
% 30.22/30.62 0 ==> 0
% 30.22/30.62 1 ==> 1
% 30.22/30.62 2 ==> 2
% 30.22/30.62 end
% 30.22/30.62
% 30.22/30.62 subsumption: (6) {G0,W10,D2,L2,V4,M2} I { ! perp( X, Y, Z, T ), perp( X, Y
% 30.22/30.62 , T, Z ) }.
% 30.22/30.62 parent0: (61641) {G0,W10,D2,L2,V4,M2} { ! perp( X, Y, Z, T ), perp( X, Y,
% 30.22/30.62 T, Z ) }.
% 30.22/30.62 substitution0:
% 30.22/30.62 X := X
% 30.22/30.62 Y := Y
% 30.22/30.62 Z := Z
% 30.22/30.62 T := T
% 30.22/30.62 end
% 30.22/30.62 permutation0:
% 30.22/30.62 0 ==> 0
% 30.22/30.62 1 ==> 1
% 30.22/30.62 end
% 30.22/30.62
% 30.22/30.62 subsumption: (7) {G0,W10,D2,L2,V4,M2} I { ! perp( X, Y, Z, T ), perp( Z, T
% 30.22/30.62 , X, Y ) }.
% 30.22/30.62 parent0: (61642) {G0,W10,D2,L2,V4,M2} { ! perp( X, Y, Z, T ), perp( Z, T,
% 30.22/30.62 X, Y ) }.
% 30.22/30.62 substitution0:
% 30.22/30.62 X := X
% 30.22/30.62 Y := Y
% 30.22/30.62 Z := Z
% 30.22/30.62 T := T
% 30.22/30.62 end
% 30.22/30.62 permutation0:
% 30.22/30.62 0 ==> 0
% 30.22/30.62 1 ==> 1
% 30.22/30.62 end
% 30.22/30.62
% 30.22/30.62 subsumption: (8) {G0,W15,D2,L3,V6,M3} I { ! perp( X, Y, U, W ), ! perp( U,
% 30.22/30.62 W, Z, T ), para( X, Y, Z, T ) }.
% 30.22/30.62 parent0: (61643) {G0,W15,D2,L3,V6,M3} { ! perp( X, Y, U, W ), ! perp( U, W
% 30.22/30.62 , Z, T ), para( X, Y, Z, T ) }.
% 30.22/30.62 substitution0:
% 30.22/30.62 X := X
% 30.22/30.62 Y := Y
% 30.22/30.62 Z := Z
% 30.22/30.62 T := T
% 30.22/30.62 U := U
% 30.22/30.62 W := W
% 30.22/30.62 end
% 30.22/30.62 permutation0:
% 30.22/30.62 0 ==> 0
% 30.22/30.62 1 ==> 1
% 30.22/30.62 2 ==> 2
% 30.22/30.62 end
% 30.22/30.62
% 30.22/30.62 subsumption: (13) {G0,W10,D2,L2,V4,M2} I { ! cyclic( X, Y, Z, T ), cyclic(
% 30.22/30.62 X, Y, T, Z ) }.
% 30.22/30.62 parent0: (61648) {G0,W10,D2,L2,V4,M2} { ! cyclic( X, Y, Z, T ), cyclic( X
% 30.22/30.62 , Y, T, Z ) }.
% 30.22/30.62 substitution0:
% 30.22/30.62 X := X
% 30.22/30.62 Y := Y
% 30.22/30.62 Z := Z
% 30.22/30.62 T := T
% 30.22/30.62 end
% 30.22/30.62 permutation0:
% 30.22/30.62 0 ==> 0
% 30.22/30.62 1 ==> 1
% 30.22/30.62 end
% 30.22/30.62
% 30.22/30.62 subsumption: (14) {G0,W10,D2,L2,V4,M2} I { ! cyclic( X, Y, Z, T ), cyclic(
% 30.22/30.62 X, Z, Y, T ) }.
% 30.22/30.62 parent0: (61649) {G0,W10,D2,L2,V4,M2} { ! cyclic( X, Y, Z, T ), cyclic( X
% 30.22/30.62 , Z, Y, T ) }.
% 30.22/30.62 substitution0:
% 30.22/30.62 X := X
% 30.22/30.62 Y := Y
% 30.22/30.62 Z := Z
% 30.22/30.62 T := T
% 30.22/30.62 end
% 30.22/30.62 permutation0:
% 30.22/30.62 0 ==> 0
% 30.22/30.62 1 ==> 1
% 30.22/30.62 end
% 30.22/30.62
% 30.22/30.62 subsumption: (15) {G0,W10,D2,L2,V4,M2} I { ! cyclic( X, Y, Z, T ), cyclic(
% 30.22/30.62 Y, X, Z, T ) }.
% 30.22/30.62 parent0: (61650) {G0,W10,D2,L2,V4,M2} { ! cyclic( X, Y, Z, T ), cyclic( Y
% 30.22/30.62 , X, Z, T ) }.
% 30.22/30.62 substitution0:
% 30.22/30.62 X := X
% 30.22/30.62 Y := Y
% 30.22/30.62 Z := Z
% 30.22/30.62 T := T
% 30.22/30.62 end
% 30.22/30.62 permutation0:
% 30.22/30.62 0 ==> 0
% 30.22/30.62 1 ==> 1
% 30.22/30.62 end
% 30.22/30.62
% 30.22/30.62 subsumption: (16) {G0,W15,D2,L3,V5,M3} I { ! cyclic( U, X, Y, Z ), ! cyclic
% 30.22/30.62 ( U, X, Y, T ), cyclic( X, Y, Z, T ) }.
% 30.22/30.62 parent0: (61651) {G0,W15,D2,L3,V5,M3} { ! cyclic( U, X, Y, Z ), ! cyclic(
% 30.22/30.62 U, X, Y, T ), cyclic( X, Y, Z, T ) }.
% 30.22/30.62 substitution0:
% 30.22/30.62 X := X
% 30.22/30.62 Y := Y
% 30.22/30.62 Z := Z
% 30.22/30.62 T := T
% 30.22/30.62 U := U
% 30.22/30.62 end
% 30.22/30.62 permutation0:
% 30.22/30.62 0 ==> 0
% 30.22/30.62 1 ==> 1
% 30.22/30.62 2 ==> 2
% 30.22/30.62 end
% 30.22/30.62
% 30.22/30.62 subsumption: (18) {G0,W18,D2,L2,V8,M2} I { ! eqangle( X, Y, Z, T, U, W, V0
% 30.22/30.62 , V1 ), eqangle( Z, T, X, Y, V0, V1, U, W ) }.
% 30.22/30.62 parent0: (61653) {G0,W18,D2,L2,V8,M2} { ! eqangle( X, Y, Z, T, U, W, V0,
% 30.22/30.62 V1 ), eqangle( Z, T, X, Y, V0, V1, U, W ) }.
% 30.22/30.62 substitution0:
% 30.22/30.62 X := X
% 30.22/30.62 Y := Y
% 30.22/30.62 Z := Z
% 30.22/30.62 T := T
% 30.22/30.62 U := U
% 30.22/30.62 W := W
% 30.22/30.62 V0 := V0
% 30.22/30.62 V1 := V1
% 30.22/30.62 end
% 30.22/30.62 permutation0:
% 30.22/30.62 0 ==> 0
% 30.22/30.62 1 ==> 1
% 30.22/30.62 end
% 30.22/30.62
% 30.22/30.62 subsumption: (20) {G0,W18,D2,L2,V8,M2} I { ! eqangle( X, Y, Z, T, U, W, V0
% 30.22/30.62 , V1 ), eqangle( X, Y, U, W, Z, T, V0, V1 ) }.
% 30.22/30.62 parent0: (61655) {G0,W18,D2,L2,V8,M2} { ! eqangle( X, Y, Z, T, U, W, V0,
% 30.22/30.62 V1 ), eqangle( X, Y, U, W, Z, T, V0, V1 ) }.
% 30.22/30.62 substitution0:
% 30.22/30.62 X := X
% 30.22/30.62 Y := Y
% 30.22/30.62 Z := Z
% 30.22/30.62 T := T
% 30.22/30.62 U := U
% 30.22/30.62 W := W
% 30.22/30.62 V0 := V0
% 30.22/30.62 V1 := V1
% 30.22/30.62 end
% 30.22/30.62 permutation0:
% 30.22/30.62 0 ==> 0
% 30.22/30.62 1 ==> 1
% 30.22/30.62 end
% 30.22/30.62
% 30.22/30.62 subsumption: (21) {G0,W27,D2,L3,V12,M3} I { ! eqangle( X, Y, Z, T, V2, V3,
% 30.22/30.62 V4, V5 ), ! eqangle( V2, V3, V4, V5, U, W, V0, V1 ), eqangle( X, Y, Z, T
% 30.22/30.62 , U, W, V0, V1 ) }.
% 30.22/30.62 parent0: (61656) {G0,W27,D2,L3,V12,M3} { ! eqangle( X, Y, Z, T, V2, V3, V4
% 30.22/30.62 , V5 ), ! eqangle( V2, V3, V4, V5, U, W, V0, V1 ), eqangle( X, Y, Z, T, U
% 30.22/30.62 , W, V0, V1 ) }.
% 30.22/30.62 substitution0:
% 30.22/30.62 X := X
% 30.22/30.62 Y := Y
% 30.22/30.62 Z := Z
% 30.22/30.62 T := T
% 30.22/30.62 U := U
% 30.22/30.62 W := W
% 30.22/30.62 V0 := V0
% 30.22/30.62 V1 := V1
% 30.22/30.62 V2 := V2
% 30.22/30.62 V3 := V3
% 30.22/30.62 V4 := V4
% 30.22/30.62 V5 := V5
% 30.22/30.62 end
% 30.22/30.62 permutation0:
% 30.22/30.62 0 ==> 0
% 30.22/30.62 1 ==> 1
% 30.22/30.62 2 ==> 2
% 30.22/30.62 end
% 30.22/30.62
% 30.22/30.62 subsumption: (38) {G0,W14,D2,L2,V6,M2} I { ! eqangle( X, Y, U, W, Z, T, U,
% 30.22/30.62 W ), para( X, Y, Z, T ) }.
% 30.22/30.62 parent0: (61673) {G0,W14,D2,L2,V6,M2} { ! eqangle( X, Y, U, W, Z, T, U, W
% 30.22/30.62 ), para( X, Y, Z, T ) }.
% 30.22/30.62 substitution0:
% 30.22/30.62 X := X
% 30.22/30.62 Y := Y
% 30.22/30.62 Z := Z
% 30.22/30.62 T := T
% 30.22/30.62 U := U
% 30.22/30.62 W := W
% 30.22/30.62 end
% 30.22/30.62 permutation0:
% 30.22/30.62 0 ==> 0
% 30.22/30.62 1 ==> 1
% 30.22/30.62 end
% 30.22/30.62
% 30.22/30.62 subsumption: (39) {G0,W14,D2,L2,V6,M2} I { ! para( X, Y, Z, T ), eqangle( X
% 30.22/30.62 , Y, U, W, Z, T, U, W ) }.
% 30.22/30.62 parent0: (61674) {G0,W14,D2,L2,V6,M2} { ! para( X, Y, Z, T ), eqangle( X,
% 30.22/30.62 Y, U, W, Z, T, U, W ) }.
% 30.22/30.62 substitution0:
% 30.22/30.62 X := X
% 30.22/30.62 Y := Y
% 30.22/30.62 Z := Z
% 30.22/30.62 T := T
% 30.22/30.62 U := U
% 30.22/30.62 W := W
% 30.22/30.62 end
% 30.22/30.62 permutation0:
% 30.22/30.62 0 ==> 0
% 30.22/30.62 1 ==> 1
% 30.22/30.62 end
% 30.22/30.62
% 30.22/30.62 subsumption: (40) {G0,W14,D2,L2,V4,M2} I { ! cyclic( X, Y, Z, T ), eqangle
% 30.22/30.62 ( Z, X, Z, Y, T, X, T, Y ) }.
% 30.22/30.62 parent0: (61675) {G0,W14,D2,L2,V4,M2} { ! cyclic( X, Y, Z, T ), eqangle( Z
% 30.22/30.62 , X, Z, Y, T, X, T, Y ) }.
% 30.22/30.62 substitution0:
% 30.22/30.62 X := X
% 30.22/30.62 Y := Y
% 30.22/30.62 Z := Z
% 30.22/30.62 T := T
% 30.22/30.62 end
% 30.22/30.62 permutation0:
% 30.22/30.62 0 ==> 0
% 30.22/30.62 1 ==> 1
% 30.22/30.62 end
% 30.22/30.62
% 30.22/30.62 subsumption: (42) {G0,W18,D2,L3,V4,M3} I { ! eqangle( Z, X, Z, Y, T, X, T,
% 30.22/30.62 Y ), ! coll( Z, T, Y ), cyclic( X, Y, Z, T ) }.
% 30.22/30.62 parent0: (61677) {G0,W18,D2,L3,V4,M3} { ! eqangle( Z, X, Z, Y, T, X, T, Y
% 30.22/30.62 ), ! coll( Z, T, Y ), cyclic( X, Y, Z, T ) }.
% 30.22/30.62 substitution0:
% 30.22/30.62 X := X
% 30.22/30.62 Y := Y
% 30.22/30.62 Z := Z
% 30.22/30.62 T := T
% 30.22/30.62 end
% 30.22/30.62 permutation0:
% 30.22/30.62 0 ==> 0
% 30.22/30.62 1 ==> 1
% 30.22/30.62 2 ==> 2
% 30.22/30.62 end
% 30.22/30.62
% 30.22/30.62 subsumption: (43) {G0,W29,D2,L5,V6,M5} I { ! cyclic( X, Y, U, Z ), ! cyclic
% 30.22/30.62 ( X, Y, U, T ), ! cyclic( X, Y, U, W ), ! eqangle( U, X, U, Y, W, Z, W, T
% 30.22/30.62 ), cong( X, Y, Z, T ) }.
% 30.22/30.62 parent0: (61678) {G0,W29,D2,L5,V6,M5} { ! cyclic( X, Y, U, Z ), ! cyclic(
% 30.22/30.62 X, Y, U, T ), ! cyclic( X, Y, U, W ), ! eqangle( U, X, U, Y, W, Z, W, T )
% 30.22/30.62 , cong( X, Y, Z, T ) }.
% 30.22/30.62 substitution0:
% 30.22/30.62 X := X
% 30.22/30.62 Y := Y
% 30.22/30.62 Z := Z
% 30.22/30.62 T := T
% 30.22/30.62 U := U
% 30.22/30.62 W := W
% 30.22/30.62 end
% 30.22/30.62 permutation0:
% 30.22/30.62 0 ==> 0
% 30.22/30.62 1 ==> 1
% 30.22/30.62 2 ==> 2
% 30.22/30.62 3 ==> 3
% 30.22/30.62 4 ==> 4
% 30.22/30.62 end
% 30.22/30.62
% 30.22/30.62 subsumption: (52) {G0,W14,D2,L3,V4,M3} I { ! perp( X, Y, Y, T ), ! midp( Z
% 30.22/30.62 , X, T ), cong( X, Z, Y, Z ) }.
% 30.22/30.62 parent0: (61687) {G0,W14,D2,L3,V4,M3} { ! perp( X, Y, Y, T ), ! midp( Z, X
% 30.22/30.62 , T ), cong( X, Z, Y, Z ) }.
% 30.22/30.62 substitution0:
% 30.22/30.62 X := X
% 30.22/30.62 Y := Y
% 30.22/30.62 Z := Z
% 30.22/30.62 T := T
% 30.22/30.62 end
% 30.22/30.62 permutation0:
% 30.22/30.62 0 ==> 0
% 30.22/30.62 1 ==> 1
% 30.22/30.62 2 ==> 2
% 30.22/30.62 end
% 30.22/30.62
% 30.22/30.62 subsumption: (56) {G0,W15,D2,L3,V4,M3} I { ! cong( X, Z, Y, Z ), ! cong( X
% 30.22/30.62 , T, Y, T ), perp( X, Y, Z, T ) }.
% 30.22/30.62 parent0: (61691) {G0,W15,D2,L3,V4,M3} { ! cong( X, Z, Y, Z ), ! cong( X, T
% 30.22/30.62 , Y, T ), perp( X, Y, Z, T ) }.
% 30.22/30.62 substitution0:
% 30.22/30.62 X := X
% 30.22/30.62 Y := Y
% 30.22/30.62 Z := Z
% 30.22/30.62 T := T
% 30.22/30.62 end
% 30.22/30.62 permutation0:
% 30.22/30.62 0 ==> 0
% 30.22/30.62 1 ==> 1
% 30.22/30.62 2 ==> 2
% 30.22/30.62 end
% 30.22/30.62
% 30.22/30.62 subsumption: (57) {G0,W20,D2,L4,V4,M4} I { ! cong( X, Y, T, Y ), ! cong( X
% 30.22/30.62 , Z, T, Z ), ! cyclic( X, T, Y, Z ), perp( Y, X, X, Z ) }.
% 30.22/30.62 parent0: (61692) {G0,W20,D2,L4,V4,M4} { ! cong( X, Y, T, Y ), ! cong( X, Z
% 30.22/30.62 , T, Z ), ! cyclic( X, T, Y, Z ), perp( Y, X, X, Z ) }.
% 30.22/30.62 substitution0:
% 30.22/30.62 X := X
% 30.22/30.62 Y := Y
% 30.22/30.62 Z := Z
% 30.22/30.62 T := T
% 30.22/30.62 end
% 30.22/30.62 permutation0:
% 30.22/30.62 0 ==> 0
% 30.22/30.62 1 ==> 1
% 30.22/30.62 2 ==> 2
% 30.22/30.62 3 ==> 3
% 30.22/30.62 end
% 30.22/30.62
% 30.22/30.62 subsumption: (66) {G0,W9,D2,L2,V3,M2} I { ! para( X, Y, X, Z ), coll( X, Y
% 30.22/30.62 , Z ) }.
% 30.22/30.62 parent0: (61701) {G0,W9,D2,L2,V3,M2} { ! para( X, Y, X, Z ), coll( X, Y, Z
% 30.22/30.62 ) }.
% 30.22/30.62 substitution0:
% 30.22/30.62 X := X
% 30.22/30.62 Y := Y
% 30.22/30.62 Z := Z
% 30.22/30.62 end
% 30.22/30.62 permutation0:
% 30.22/30.62 0 ==> 0
% 30.22/30.62 1 ==> 1
% 30.22/30.62 end
% 30.22/30.62
% 30.22/30.62 subsumption: (67) {G0,W13,D2,L3,V3,M3} I { ! cong( X, Y, X, Z ), ! coll( X
% 30.22/30.62 , Y, Z ), midp( X, Y, Z ) }.
% 30.22/30.62 parent0: (61702) {G0,W13,D2,L3,V3,M3} { ! cong( X, Y, X, Z ), ! coll( X, Y
% 30.22/30.62 , Z ), midp( X, Y, Z ) }.
% 30.22/30.62 substitution0:
% 30.22/30.62 X := X
% 30.22/30.62 Y := Y
% 30.22/30.62 Z := Z
% 30.22/30.62 end
% 30.22/30.62 permutation0:
% 30.22/30.62 0 ==> 0
% 30.22/30.62 1 ==> 1
% 30.22/30.62 2 ==> 2
% 30.22/30.62 end
% 30.22/30.62
% 30.22/30.62 subsumption: (119) {G0,W5,D2,L1,V0,M1} I { perp( skol22, skol20, skol27,
% 30.22/30.62 skol28 ) }.
% 30.22/30.62 parent0: (61755) {G0,W5,D2,L1,V0,M1} { perp( skol22, skol20, skol27,
% 30.22/30.62 skol28 ) }.
% 30.22/30.62 substitution0:
% 30.22/30.62 end
% 30.22/30.62 permutation0:
% 30.22/30.62 0 ==> 0
% 30.22/30.62 end
% 30.22/30.62
% 30.22/30.62 subsumption: (127) {G0,W9,D2,L1,V0,M1} I { ! eqangle( skol20, skol23,
% 30.22/30.62 skol23, skol24, skol20, skol22, skol22, skol25 ) }.
% 30.22/30.62 parent0: (61763) {G0,W9,D2,L1,V0,M1} { ! eqangle( skol20, skol23, skol23,
% 30.22/30.62 skol24, skol20, skol22, skol22, skol25 ) }.
% 30.22/30.62 substitution0:
% 30.22/30.62 end
% 30.22/30.62 permutation0:
% 30.22/30.62 0 ==> 0
% 30.22/30.62 end
% 30.22/30.62
% 30.22/30.62 factor: (62124) {G0,W8,D2,L2,V3,M2} { ! coll( X, Y, Z ), coll( Z, Z, X )
% 30.22/30.62 }.
% 30.22/30.62 parent0[0, 1]: (2) {G0,W12,D2,L3,V4,M3} I { ! coll( X, T, Y ), ! coll( X, T
% 30.22/30.62 , Z ), coll( Y, Z, X ) }.
% 30.22/30.62 substitution0:
% 30.22/30.62 X := X
% 30.22/30.62 Y := Z
% 30.22/30.62 Z := Z
% 30.22/30.62 T := Y
% 30.22/30.62 end
% 30.22/30.62
% 30.22/30.62 subsumption: (128) {G1,W8,D2,L2,V3,M2} F(2) { ! coll( X, Y, Z ), coll( Z, Z
% 30.22/30.62 , X ) }.
% 30.22/30.62 parent0: (62124) {G0,W8,D2,L2,V3,M2} { ! coll( X, Y, Z ), coll( Z, Z, X )
% 30.22/30.62 }.
% 30.22/30.62 substitution0:
% 30.22/30.62 X := X
% 30.22/30.62 Y := Y
% 30.22/30.62 Z := Z
% 30.22/30.62 end
% 30.22/30.62 permutation0:
% 30.22/30.62 0 ==> 0
% 30.22/30.62 1 ==> 1
% 30.22/30.62 end
% 30.22/30.62
% 30.22/30.62 factor: (62125) {G0,W15,D2,L3,V3,M3} { ! cong( X, Y, Z, Y ), ! cyclic( X,
% 30.22/30.62 Z, Y, Y ), perp( Y, X, X, Y ) }.
% 30.22/30.62 parent0[0, 1]: (57) {G0,W20,D2,L4,V4,M4} I { ! cong( X, Y, T, Y ), ! cong(
% 30.22/30.62 X, Z, T, Z ), ! cyclic( X, T, Y, Z ), perp( Y, X, X, Z ) }.
% 30.22/30.62 substitution0:
% 30.22/30.62 X := X
% 30.22/30.62 Y := Y
% 30.22/30.62 Z := Y
% 30.22/30.62 T := Z
% 30.22/30.62 end
% 30.22/30.62
% 30.22/30.62 subsumption: (141) {G1,W15,D2,L3,V3,M3} F(57) { ! cong( X, Y, Z, Y ), !
% 30.22/30.62 cyclic( X, Z, Y, Y ), perp( Y, X, X, Y ) }.
% 30.22/30.62 parent0: (62125) {G0,W15,D2,L3,V3,M3} { ! cong( X, Y, Z, Y ), ! cyclic( X
% 30.22/30.62 , Z, Y, Y ), perp( Y, X, X, Y ) }.
% 30.22/30.62 substitution0:
% 30.22/30.62 X := X
% 30.22/30.62 Y := Y
% 30.22/30.62 Z := Z
% 30.22/30.62 end
% 30.22/30.62 permutation0:
% 30.22/30.62 0 ==> 0
% 30.22/30.62 1 ==> 1
% 30.22/30.62 2 ==> 2
% 30.22/30.62 end
% 30.22/30.62
% 30.22/30.62 resolution: (62129) {G1,W12,D2,L3,V4,M3} { coll( X, Z, Y ), ! coll( Z, T,
% 30.22/30.62 X ), ! coll( Z, T, Y ) }.
% 30.22/30.62 parent0[0]: (0) {G0,W8,D2,L2,V3,M2} I { ! coll( X, Y, Z ), coll( X, Z, Y )
% 30.22/30.62 }.
% 30.22/30.62 parent1[2]: (2) {G0,W12,D2,L3,V4,M3} I { ! coll( X, T, Y ), ! coll( X, T, Z
% 30.22/30.62 ), coll( Y, Z, X ) }.
% 30.22/30.62 substitution0:
% 30.22/30.62 X := X
% 30.22/30.62 Y := Y
% 30.22/30.62 Z := Z
% 30.22/30.62 end
% 30.22/30.62 substitution1:
% 30.22/30.62 X := Z
% 30.22/30.62 Y := X
% 30.22/30.62 Z := Y
% 30.22/30.62 T := T
% 30.22/30.62 end
% 30.22/30.62
% 30.22/30.62 subsumption: (204) {G1,W12,D2,L3,V4,M3} R(2,0) { ! coll( X, Y, Z ), ! coll
% 30.22/30.62 ( X, Y, T ), coll( Z, X, T ) }.
% 30.22/30.62 parent0: (62129) {G1,W12,D2,L3,V4,M3} { coll( X, Z, Y ), ! coll( Z, T, X )
% 30.22/30.62 , ! coll( Z, T, Y ) }.
% 30.22/30.62 substitution0:
% 30.22/30.62 X := Z
% 30.22/30.62 Y := T
% 30.22/30.62 Z := X
% 30.22/30.62 T := Y
% 30.22/30.62 end
% 30.22/30.62 permutation0:
% 30.22/30.62 0 ==> 2
% 30.22/30.62 1 ==> 0
% 30.22/30.62 2 ==> 1
% 30.22/30.62 end
% 30.22/30.62
% 30.22/30.62 factor: (62131) {G1,W8,D2,L2,V3,M2} { ! coll( X, Y, Z ), coll( Z, X, Z )
% 30.22/30.62 }.
% 30.22/30.62 parent0[0, 1]: (204) {G1,W12,D2,L3,V4,M3} R(2,0) { ! coll( X, Y, Z ), !
% 30.22/30.62 coll( X, Y, T ), coll( Z, X, T ) }.
% 30.22/30.62 substitution0:
% 30.22/30.62 X := X
% 30.22/30.62 Y := Y
% 30.22/30.62 Z := Z
% 30.22/30.62 T := Z
% 30.22/30.62 end
% 30.22/30.62
% 30.22/30.62 subsumption: (213) {G2,W8,D2,L2,V3,M2} F(204) { ! coll( X, Y, Z ), coll( Z
% 30.22/30.62 , X, Z ) }.
% 30.22/30.62 parent0: (62131) {G1,W8,D2,L2,V3,M2} { ! coll( X, Y, Z ), coll( Z, X, Z )
% 30.22/30.62 }.
% 30.22/30.62 substitution0:
% 30.22/30.62 X := X
% 30.22/30.62 Y := Y
% 30.22/30.62 Z := Z
% 30.22/30.62 end
% 30.22/30.62 permutation0:
% 30.22/30.62 0 ==> 0
% 30.22/30.62 1 ==> 1
% 30.22/30.62 end
% 30.22/30.62
% 30.22/30.62 resolution: (62132) {G1,W15,D2,L3,V6,M3} { ! para( Z, T, U, W ), para( X,
% 30.22/30.62 Y, U, W ), ! para( Z, T, X, Y ) }.
% 30.22/30.62 parent0[0]: (5) {G0,W15,D2,L3,V6,M3} I { ! para( X, Y, U, W ), ! para( U, W
% 30.22/30.62 , Z, T ), para( X, Y, Z, T ) }.
% 30.22/30.62 parent1[1]: (4) {G0,W10,D2,L2,V4,M2} I { ! para( X, Y, Z, T ), para( Z, T,
% 30.22/30.62 X, Y ) }.
% 30.22/30.62 substitution0:
% 30.22/30.62 X := X
% 30.22/30.62 Y := Y
% 30.22/30.62 Z := U
% 30.22/30.62 T := W
% 30.22/30.62 U := Z
% 30.22/30.62 W := T
% 30.22/30.62 end
% 30.22/30.62 substitution1:
% 30.22/30.62 X := Z
% 30.22/30.62 Y := T
% 30.22/30.62 Z := X
% 30.22/30.62 T := Y
% 30.22/30.62 end
% 30.22/30.62
% 30.22/30.62 subsumption: (248) {G1,W15,D2,L3,V6,M3} R(5,4) { ! para( X, Y, Z, T ), para
% 30.22/30.62 ( U, W, Z, T ), ! para( X, Y, U, W ) }.
% 30.22/30.62 parent0: (62132) {G1,W15,D2,L3,V6,M3} { ! para( Z, T, U, W ), para( X, Y,
% 30.22/30.62 U, W ), ! para( Z, T, X, Y ) }.
% 30.22/30.62 substitution0:
% 30.22/30.62 X := U
% 30.22/30.62 Y := W
% 30.22/30.62 Z := X
% 30.22/30.62 T := Y
% 30.22/30.62 U := Z
% 30.22/30.62 W := T
% 30.22/30.62 end
% 30.22/30.62 permutation0:
% 30.22/30.62 0 ==> 0
% 30.22/30.62 1 ==> 1
% 30.22/30.62 2 ==> 2
% 30.22/30.62 end
% 30.22/30.62
% 30.22/30.62 factor: (62136) {G1,W10,D2,L2,V4,M2} { ! para( X, Y, Z, T ), para( Z, T, Z
% 30.22/30.62 , T ) }.
% 30.22/30.62 parent0[0, 2]: (248) {G1,W15,D2,L3,V6,M3} R(5,4) { ! para( X, Y, Z, T ),
% 30.22/30.62 para( U, W, Z, T ), ! para( X, Y, U, W ) }.
% 30.22/30.62 substitution0:
% 30.22/30.62 X := X
% 30.22/30.62 Y := Y
% 30.22/30.62 Z := Z
% 30.22/30.62 T := T
% 30.22/30.62 U := Z
% 30.22/30.62 W := T
% 30.22/30.62 end
% 30.22/30.62
% 30.22/30.62 subsumption: (254) {G2,W10,D2,L2,V4,M2} F(248) { ! para( X, Y, Z, T ), para
% 30.22/30.62 ( Z, T, Z, T ) }.
% 30.22/30.62 parent0: (62136) {G1,W10,D2,L2,V4,M2} { ! para( X, Y, Z, T ), para( Z, T,
% 30.22/30.62 Z, T ) }.
% 30.22/30.62 substitution0:
% 30.22/30.62 X := X
% 30.22/30.62 Y := Y
% 30.22/30.62 Z := Z
% 30.22/30.62 T := T
% 30.22/30.62 end
% 30.22/30.62 permutation0:
% 30.22/30.62 0 ==> 0
% 30.22/30.62 1 ==> 1
% 30.22/30.62 end
% 30.22/30.62
% 30.22/30.62 resolution: (62137) {G1,W5,D2,L1,V0,M1} { perp( skol22, skol20, skol28,
% 30.22/30.62 skol27 ) }.
% 30.22/30.62 parent0[0]: (6) {G0,W10,D2,L2,V4,M2} I { ! perp( X, Y, Z, T ), perp( X, Y,
% 30.22/30.62 T, Z ) }.
% 30.22/30.62 parent1[0]: (119) {G0,W5,D2,L1,V0,M1} I { perp( skol22, skol20, skol27,
% 30.22/30.62 skol28 ) }.
% 30.22/30.62 substitution0:
% 30.22/30.62 X := skol22
% 30.22/30.62 Y := skol20
% 30.22/30.62 Z := skol27
% 30.22/30.62 T := skol28
% 30.22/30.62 end
% 30.22/30.62 substitution1:
% 30.22/30.62 end
% 30.22/30.62
% 30.22/30.62 subsumption: (255) {G1,W5,D2,L1,V0,M1} R(6,119) { perp( skol22, skol20,
% 30.22/30.62 skol28, skol27 ) }.
% 30.22/30.62 parent0: (62137) {G1,W5,D2,L1,V0,M1} { perp( skol22, skol20, skol28,
% 30.22/30.62 skol27 ) }.
% 30.22/30.62 substitution0:
% 30.22/30.62 end
% 30.22/30.62 permutation0:
% 30.22/30.62 0 ==> 0
% 30.22/30.62 end
% 30.22/30.62
% 30.22/30.62 resolution: (62138) {G1,W5,D2,L1,V0,M1} { perp( skol28, skol27, skol22,
% 30.22/30.62 skol20 ) }.
% 30.22/30.62 parent0[0]: (7) {G0,W10,D2,L2,V4,M2} I { ! perp( X, Y, Z, T ), perp( Z, T,
% 30.22/30.62 X, Y ) }.
% 30.22/30.62 parent1[0]: (255) {G1,W5,D2,L1,V0,M1} R(6,119) { perp( skol22, skol20,
% 30.22/30.62 skol28, skol27 ) }.
% 30.22/30.62 substitution0:
% 30.22/30.62 X := skol22
% 30.22/30.62 Y := skol20
% 30.22/30.62 Z := skol28
% 30.22/30.62 T := skol27
% 30.22/30.62 end
% 30.22/30.62 substitution1:
% 30.22/30.62 end
% 30.22/30.62
% 30.22/30.62 subsumption: (262) {G2,W5,D2,L1,V0,M1} R(7,255) { perp( skol28, skol27,
% 30.22/30.62 skol22, skol20 ) }.
% 30.22/30.62 parent0: (62138) {G1,W5,D2,L1,V0,M1} { perp( skol28, skol27, skol22,
% 30.22/30.62 skol20 ) }.
% 30.22/30.62 substitution0:
% 30.22/30.62 end
% 30.22/30.62 permutation0:
% 30.22/30.62 0 ==> 0
% 30.22/30.62 end
% 30.22/30.62
% 30.22/30.62 resolution: (62139) {G1,W10,D2,L2,V2,M2} { ! perp( skol28, skol27, X, Y )
% 30.22/30.62 , para( skol22, skol20, X, Y ) }.
% 30.22/30.62 parent0[0]: (8) {G0,W15,D2,L3,V6,M3} I { ! perp( X, Y, U, W ), ! perp( U, W
% 30.22/30.62 , Z, T ), para( X, Y, Z, T ) }.
% 30.22/30.62 parent1[0]: (255) {G1,W5,D2,L1,V0,M1} R(6,119) { perp( skol22, skol20,
% 30.22/30.62 skol28, skol27 ) }.
% 30.22/30.62 substitution0:
% 30.22/30.62 X := skol22
% 30.22/30.62 Y := skol20
% 30.22/30.62 Z := X
% 30.22/30.62 T := Y
% 30.22/30.62 U := skol28
% 30.22/30.62 W := skol27
% 30.22/30.62 end
% 30.22/30.62 substitution1:
% 30.22/30.62 end
% 30.22/30.62
% 30.22/30.62 subsumption: (289) {G2,W10,D2,L2,V2,M2} R(8,255) { ! perp( skol28, skol27,
% 30.22/30.62 X, Y ), para( skol22, skol20, X, Y ) }.
% 30.22/30.62 parent0: (62139) {G1,W10,D2,L2,V2,M2} { ! perp( skol28, skol27, X, Y ),
% 30.22/30.62 para( skol22, skol20, X, Y ) }.
% 30.22/30.62 substitution0:
% 30.22/30.62 X := X
% 30.22/30.62 Y := Y
% 30.22/30.62 end
% 30.22/30.62 permutation0:
% 30.22/30.62 0 ==> 0
% 30.22/30.62 1 ==> 1
% 30.22/30.62 end
% 30.22/30.62
% 30.22/30.62 resolution: (62141) {G1,W15,D2,L3,V6,M3} { para( Z, T, X, Y ), ! perp( X,
% 30.22/30.62 Y, U, W ), ! perp( U, W, Z, T ) }.
% 30.22/30.62 parent0[0]: (4) {G0,W10,D2,L2,V4,M2} I { ! para( X, Y, Z, T ), para( Z, T,
% 30.22/30.62 X, Y ) }.
% 30.22/30.62 parent1[2]: (8) {G0,W15,D2,L3,V6,M3} I { ! perp( X, Y, U, W ), ! perp( U, W
% 30.22/30.62 , Z, T ), para( X, Y, Z, T ) }.
% 30.22/30.62 substitution0:
% 30.22/30.62 X := X
% 30.22/30.62 Y := Y
% 30.22/30.62 Z := Z
% 30.22/30.62 T := T
% 30.22/30.62 end
% 30.22/30.62 substitution1:
% 30.22/30.62 X := X
% 30.22/30.62 Y := Y
% 30.22/30.62 Z := Z
% 30.22/30.62 T := T
% 30.22/30.62 U := U
% 30.22/30.62 W := W
% 30.22/30.62 end
% 30.22/30.62
% 30.22/30.62 subsumption: (301) {G1,W15,D2,L3,V6,M3} R(8,4) { ! perp( X, Y, Z, T ), !
% 30.22/30.62 perp( Z, T, U, W ), para( U, W, X, Y ) }.
% 30.22/30.62 parent0: (62141) {G1,W15,D2,L3,V6,M3} { para( Z, T, X, Y ), ! perp( X, Y,
% 30.22/30.62 U, W ), ! perp( U, W, Z, T ) }.
% 30.22/30.62 substitution0:
% 30.22/30.62 X := X
% 30.22/30.62 Y := Y
% 30.22/30.62 Z := U
% 30.22/30.62 T := W
% 30.22/30.62 U := Z
% 30.22/30.62 W := T
% 30.22/30.62 end
% 30.22/30.62 permutation0:
% 30.22/30.62 0 ==> 2
% 30.22/30.62 1 ==> 0
% 30.22/30.62 2 ==> 1
% 30.22/30.62 end
% 30.22/30.62
% 30.22/30.62 resolution: (62143) {G1,W5,D2,L1,V0,M1} { perp( skol28, skol27, skol20,
% 30.22/30.62 skol22 ) }.
% 30.22/30.62 parent0[0]: (6) {G0,W10,D2,L2,V4,M2} I { ! perp( X, Y, Z, T ), perp( X, Y,
% 30.22/30.62 T, Z ) }.
% 30.22/30.62 parent1[0]: (262) {G2,W5,D2,L1,V0,M1} R(7,255) { perp( skol28, skol27,
% 30.22/30.62 skol22, skol20 ) }.
% 30.22/30.62 substitution0:
% 30.22/30.62 X := skol28
% 30.22/30.62 Y := skol27
% 30.22/30.62 Z := skol22
% 30.22/30.62 T := skol20
% 30.22/30.62 end
% 30.22/30.62 substitution1:
% 30.22/30.62 end
% 30.22/30.62
% 30.22/30.62 subsumption: (372) {G3,W5,D2,L1,V0,M1} R(262,6) { perp( skol28, skol27,
% 30.22/30.62 skol20, skol22 ) }.
% 30.22/30.62 parent0: (62143) {G1,W5,D2,L1,V0,M1} { perp( skol28, skol27, skol20,
% 30.22/30.62 skol22 ) }.
% 30.22/30.62 substitution0:
% 30.22/30.62 end
% 30.22/30.62 permutation0:
% 30.22/30.62 0 ==> 0
% 30.22/30.62 end
% 30.22/30.62
% 30.22/30.62 resolution: (62144) {G1,W12,D2,L3,V4,M3} { coll( Z, X, Z ), ! coll( Z, T,
% 30.22/30.62 X ), ! coll( Z, T, Y ) }.
% 30.22/30.62 parent0[0]: (213) {G2,W8,D2,L2,V3,M2} F(204) { ! coll( X, Y, Z ), coll( Z,
% 30.22/30.62 X, Z ) }.
% 30.22/30.62 parent1[2]: (2) {G0,W12,D2,L3,V4,M3} I { ! coll( X, T, Y ), ! coll( X, T, Z
% 30.22/30.62 ), coll( Y, Z, X ) }.
% 30.22/30.62 substitution0:
% 30.22/30.62 X := X
% 30.22/30.62 Y := Y
% 30.22/30.62 Z := Z
% 30.22/30.62 end
% 30.22/30.62 substitution1:
% 30.22/30.62 X := Z
% 30.22/30.62 Y := X
% 30.22/30.62 Z := Y
% 30.22/30.62 T := T
% 30.22/30.62 end
% 30.22/30.62
% 30.22/30.62 subsumption: (413) {G3,W12,D2,L3,V4,M3} R(213,2) { coll( X, Y, X ), ! coll
% 30.22/30.62 ( X, Z, Y ), ! coll( X, Z, T ) }.
% 30.22/30.62 parent0: (62144) {G1,W12,D2,L3,V4,M3} { coll( Z, X, Z ), ! coll( Z, T, X )
% 30.22/30.62 , ! coll( Z, T, Y ) }.
% 30.22/30.62 substitution0:
% 30.22/30.62 X := Y
% 30.22/30.62 Y := Y
% 30.22/30.62 Z := X
% 30.22/30.62 T := Z
% 30.22/30.62 end
% 30.22/30.62 permutation0:
% 30.22/30.62 0 ==> 0
% 30.22/30.62 1 ==> 1
% 30.22/30.62 2 ==> 1
% 30.22/30.62 end
% 30.22/30.62
% 30.22/30.62 factor: (62146) {G3,W8,D2,L2,V3,M2} { coll( X, Y, X ), ! coll( X, Z, Y )
% 30.22/30.62 }.
% 30.22/30.62 parent0[1, 2]: (413) {G3,W12,D2,L3,V4,M3} R(213,2) { coll( X, Y, X ), !
% 30.22/30.62 coll( X, Z, Y ), ! coll( X, Z, T ) }.
% 30.22/30.62 substitution0:
% 30.22/30.62 X := X
% 30.22/30.62 Y := Y
% 30.22/30.62 Z := Z
% 30.22/30.62 T := Y
% 30.22/30.62 end
% 30.22/30.62
% 30.22/30.62 subsumption: (430) {G4,W8,D2,L2,V3,M2} F(413) { coll( X, Y, X ), ! coll( X
% 30.22/30.62 , Z, Y ) }.
% 30.22/30.62 parent0: (62146) {G3,W8,D2,L2,V3,M2} { coll( X, Y, X ), ! coll( X, Z, Y )
% 30.22/30.62 }.
% 30.22/30.62 substitution0:
% 30.22/30.62 X := X
% 30.22/30.62 Y := Y
% 30.22/30.62 Z := Z
% 30.22/30.62 end
% 30.22/30.62 permutation0:
% 30.22/30.62 0 ==> 0
% 30.22/30.62 1 ==> 1
% 30.22/30.62 end
% 30.22/30.62
% 30.22/30.62 resolution: (62148) {G1,W10,D2,L2,V4,M2} { cyclic( X, Y, T, Z ), ! cyclic
% 30.22/30.62 ( X, Z, Y, T ) }.
% 30.22/30.62 parent0[0]: (13) {G0,W10,D2,L2,V4,M2} I { ! cyclic( X, Y, Z, T ), cyclic( X
% 30.22/30.62 , Y, T, Z ) }.
% 30.22/30.62 parent1[1]: (14) {G0,W10,D2,L2,V4,M2} I { ! cyclic( X, Y, Z, T ), cyclic( X
% 30.22/30.62 , Z, Y, T ) }.
% 30.22/30.62 substitution0:
% 30.22/30.62 X := X
% 30.22/30.62 Y := Y
% 30.22/30.62 Z := Z
% 30.22/30.62 T := T
% 30.22/30.62 end
% 30.22/30.62 substitution1:
% 30.22/30.62 X := X
% 30.22/30.62 Y := Z
% 30.22/30.62 Z := Y
% 30.22/30.62 T := T
% 30.22/30.62 end
% 30.22/30.62
% 30.22/30.62 subsumption: (436) {G1,W10,D2,L2,V4,M2} R(14,13) { ! cyclic( X, Y, Z, T ),
% 30.22/30.62 cyclic( X, Z, T, Y ) }.
% 30.22/30.62 parent0: (62148) {G1,W10,D2,L2,V4,M2} { cyclic( X, Y, T, Z ), ! cyclic( X
% 30.22/30.62 , Z, Y, T ) }.
% 30.22/30.62 substitution0:
% 30.22/30.62 X := X
% 30.22/30.62 Y := Z
% 30.22/30.62 Z := Y
% 30.22/30.62 T := T
% 30.22/30.62 end
% 30.22/30.62 permutation0:
% 30.22/30.62 0 ==> 1
% 30.22/30.62 1 ==> 0
% 30.22/30.62 end
% 30.22/30.62
% 30.22/30.62 resolution: (62149) {G1,W10,D2,L2,V4,M2} { cyclic( Y, X, Z, T ), ! cyclic
% 30.22/30.62 ( X, Z, Y, T ) }.
% 30.22/30.62 parent0[0]: (15) {G0,W10,D2,L2,V4,M2} I { ! cyclic( X, Y, Z, T ), cyclic( Y
% 30.22/30.62 , X, Z, T ) }.
% 30.22/30.62 parent1[1]: (14) {G0,W10,D2,L2,V4,M2} I { ! cyclic( X, Y, Z, T ), cyclic( X
% 30.22/30.62 , Z, Y, T ) }.
% 30.22/30.62 substitution0:
% 30.22/30.62 X := X
% 30.22/30.62 Y := Y
% 30.22/30.62 Z := Z
% 30.22/30.62 T := T
% 30.22/30.62 end
% 30.22/30.62 substitution1:
% 30.22/30.62 X := X
% 30.22/30.62 Y := Z
% 30.22/30.62 Z := Y
% 30.22/30.62 T := T
% 30.22/30.62 end
% 30.22/30.62
% 30.22/30.62 subsumption: (443) {G1,W10,D2,L2,V4,M2} R(15,14) { cyclic( X, Y, Z, T ), !
% 30.22/30.62 cyclic( Y, Z, X, T ) }.
% 30.22/30.62 parent0: (62149) {G1,W10,D2,L2,V4,M2} { cyclic( Y, X, Z, T ), ! cyclic( X
% 30.22/30.62 , Z, Y, T ) }.
% 30.22/30.62 substitution0:
% 30.22/30.62 X := Y
% 30.22/30.62 Y := X
% 30.22/30.62 Z := Z
% 30.22/30.62 T := T
% 30.22/30.62 end
% 30.22/30.62 permutation0:
% 30.22/30.62 0 ==> 0
% 30.22/30.62 1 ==> 1
% 30.22/30.62 end
% 30.22/30.62
% 30.22/30.62 resolution: (62150) {G1,W10,D2,L2,V4,M2} { cyclic( Y, X, Z, T ), ! cyclic
% 30.22/30.62 ( X, Y, T, Z ) }.
% 30.22/30.62 parent0[0]: (15) {G0,W10,D2,L2,V4,M2} I { ! cyclic( X, Y, Z, T ), cyclic( Y
% 30.22/30.62 , X, Z, T ) }.
% 30.22/30.62 parent1[1]: (13) {G0,W10,D2,L2,V4,M2} I { ! cyclic( X, Y, Z, T ), cyclic( X
% 30.22/30.62 , Y, T, Z ) }.
% 30.22/30.62 substitution0:
% 30.22/30.62 X := X
% 30.22/30.62 Y := Y
% 30.22/30.62 Z := Z
% 30.22/30.62 T := T
% 30.22/30.62 end
% 30.22/30.62 substitution1:
% 30.22/30.62 X := X
% 30.22/30.62 Y := Y
% 30.22/30.62 Z := T
% 30.22/30.62 T := Z
% 30.22/30.62 end
% 30.22/30.62
% 30.22/30.62 subsumption: (445) {G1,W10,D2,L2,V4,M2} R(15,13) { cyclic( X, Y, Z, T ), !
% 30.22/30.62 cyclic( Y, X, T, Z ) }.
% 30.22/30.62 parent0: (62150) {G1,W10,D2,L2,V4,M2} { cyclic( Y, X, Z, T ), ! cyclic( X
% 30.22/30.62 , Y, T, Z ) }.
% 30.22/30.62 substitution0:
% 30.22/30.62 X := Y
% 30.22/30.62 Y := X
% 30.22/30.62 Z := Z
% 30.22/30.62 T := T
% 30.22/30.62 end
% 30.22/30.62 permutation0:
% 30.22/30.62 0 ==> 0
% 30.22/30.62 1 ==> 1
% 30.22/30.62 end
% 30.22/30.62
% 30.22/30.62 resolution: (62154) {G1,W15,D2,L3,V5,M3} { cyclic( Y, X, Z, T ), ! cyclic
% 30.22/30.62 ( U, X, Y, Z ), ! cyclic( U, X, Y, T ) }.
% 30.22/30.62 parent0[0]: (15) {G0,W10,D2,L2,V4,M2} I { ! cyclic( X, Y, Z, T ), cyclic( Y
% 30.22/30.62 , X, Z, T ) }.
% 30.22/30.62 parent1[2]: (16) {G0,W15,D2,L3,V5,M3} I { ! cyclic( U, X, Y, Z ), ! cyclic
% 30.22/30.62 ( U, X, Y, T ), cyclic( X, Y, Z, T ) }.
% 30.22/30.62 substitution0:
% 30.22/30.62 X := X
% 30.22/30.62 Y := Y
% 30.22/30.62 Z := Z
% 30.22/30.62 T := T
% 30.22/30.62 end
% 30.22/30.62 substitution1:
% 30.22/30.62 X := X
% 30.22/30.62 Y := Y
% 30.22/30.62 Z := Z
% 30.22/30.62 T := T
% 30.22/30.62 U := U
% 30.22/30.62 end
% 30.22/30.62
% 30.22/30.62 subsumption: (462) {G1,W15,D2,L3,V5,M3} R(16,15) { ! cyclic( X, Y, Z, T ),
% 30.22/30.62 ! cyclic( X, Y, Z, U ), cyclic( Z, Y, T, U ) }.
% 30.22/30.62 parent0: (62154) {G1,W15,D2,L3,V5,M3} { cyclic( Y, X, Z, T ), ! cyclic( U
% 30.22/30.63 , X, Y, Z ), ! cyclic( U, X, Y, T ) }.
% 30.22/30.63 substitution0:
% 30.22/30.63 X := Y
% 30.22/30.63 Y := Z
% 30.22/30.63 Z := T
% 30.22/30.63 T := U
% 30.22/30.63 U := X
% 30.22/30.63 end
% 30.22/30.63 permutation0:
% 30.22/30.63 0 ==> 2
% 30.22/30.63 1 ==> 0
% 30.22/30.63 2 ==> 1
% 30.22/30.63 end
% 30.22/30.63
% 30.22/30.63 resolution: (62157) {G1,W15,D2,L3,V5,M3} { ! cyclic( X, Y, Z, T ), cyclic
% 30.22/30.63 ( Y, Z, T, U ), ! cyclic( X, Y, U, Z ) }.
% 30.22/30.63 parent0[1]: (16) {G0,W15,D2,L3,V5,M3} I { ! cyclic( U, X, Y, Z ), ! cyclic
% 30.22/30.63 ( U, X, Y, T ), cyclic( X, Y, Z, T ) }.
% 30.22/30.63 parent1[1]: (13) {G0,W10,D2,L2,V4,M2} I { ! cyclic( X, Y, Z, T ), cyclic( X
% 30.22/30.63 , Y, T, Z ) }.
% 30.22/30.63 substitution0:
% 30.22/30.63 X := Y
% 30.22/30.63 Y := Z
% 30.22/30.63 Z := T
% 30.22/30.63 T := U
% 30.22/30.63 U := X
% 30.22/30.63 end
% 30.22/30.63 substitution1:
% 30.22/30.63 X := X
% 30.22/30.63 Y := Y
% 30.22/30.63 Z := U
% 30.22/30.63 T := Z
% 30.22/30.63 end
% 30.22/30.63
% 30.22/30.63 subsumption: (467) {G1,W15,D2,L3,V5,M3} R(16,13) { ! cyclic( X, Y, Z, T ),
% 30.22/30.63 cyclic( Y, Z, T, U ), ! cyclic( X, Y, U, Z ) }.
% 30.22/30.63 parent0: (62157) {G1,W15,D2,L3,V5,M3} { ! cyclic( X, Y, Z, T ), cyclic( Y
% 30.22/30.63 , Z, T, U ), ! cyclic( X, Y, U, Z ) }.
% 30.22/30.63 substitution0:
% 30.22/30.63 X := X
% 30.22/30.63 Y := Y
% 30.22/30.63 Z := Z
% 30.22/30.63 T := T
% 30.22/30.63 U := U
% 30.22/30.63 end
% 30.22/30.63 permutation0:
% 30.22/30.63 0 ==> 0
% 30.22/30.63 1 ==> 1
% 30.22/30.63 2 ==> 2
% 30.22/30.63 end
% 30.22/30.63
% 30.22/30.63 factor: (62159) {G1,W10,D2,L2,V4,M2} { ! cyclic( X, Y, Z, T ), cyclic( Z,
% 30.22/30.63 Y, T, T ) }.
% 30.22/30.63 parent0[0, 1]: (462) {G1,W15,D2,L3,V5,M3} R(16,15) { ! cyclic( X, Y, Z, T )
% 30.22/30.63 , ! cyclic( X, Y, Z, U ), cyclic( Z, Y, T, U ) }.
% 30.22/30.63 substitution0:
% 30.22/30.63 X := X
% 30.22/30.63 Y := Y
% 30.22/30.63 Z := Z
% 30.22/30.63 T := T
% 30.22/30.63 U := T
% 30.22/30.63 end
% 30.22/30.63
% 30.22/30.63 subsumption: (471) {G2,W10,D2,L2,V4,M2} F(462) { ! cyclic( X, Y, Z, T ),
% 30.22/30.63 cyclic( Z, Y, T, T ) }.
% 30.22/30.63 parent0: (62159) {G1,W10,D2,L2,V4,M2} { ! cyclic( X, Y, Z, T ), cyclic( Z
% 30.22/30.63 , Y, T, T ) }.
% 30.22/30.63 substitution0:
% 30.22/30.63 X := X
% 30.22/30.63 Y := Y
% 30.22/30.63 Z := Z
% 30.22/30.63 T := T
% 30.22/30.63 end
% 30.22/30.63 permutation0:
% 30.22/30.63 0 ==> 0
% 30.22/30.63 1 ==> 1
% 30.22/30.63 end
% 30.22/30.63
% 30.22/30.63 resolution: (62161) {G1,W27,D2,L3,V12,M3} { ! eqangle( X, Y, Z, T, U, W,
% 30.22/30.63 V0, V1 ), eqangle( X, Y, Z, T, V2, V3, V4, V5 ), ! eqangle( U, W, V2, V3
% 30.22/30.63 , V0, V1, V4, V5 ) }.
% 30.22/30.63 parent0[1]: (21) {G0,W27,D2,L3,V12,M3} I { ! eqangle( X, Y, Z, T, V2, V3,
% 30.22/30.63 V4, V5 ), ! eqangle( V2, V3, V4, V5, U, W, V0, V1 ), eqangle( X, Y, Z, T
% 30.22/30.63 , U, W, V0, V1 ) }.
% 30.22/30.63 parent1[1]: (20) {G0,W18,D2,L2,V8,M2} I { ! eqangle( X, Y, Z, T, U, W, V0,
% 30.22/30.63 V1 ), eqangle( X, Y, U, W, Z, T, V0, V1 ) }.
% 30.22/30.63 substitution0:
% 30.22/30.63 X := X
% 30.22/30.63 Y := Y
% 30.22/30.63 Z := Z
% 30.22/30.63 T := T
% 30.22/30.63 U := V2
% 30.22/30.63 W := V3
% 30.22/30.63 V0 := V4
% 30.22/30.63 V1 := V5
% 30.22/30.63 V2 := U
% 30.22/30.63 V3 := W
% 30.22/30.63 V4 := V0
% 30.22/30.63 V5 := V1
% 30.22/30.63 end
% 30.22/30.63 substitution1:
% 30.22/30.63 X := U
% 30.22/30.63 Y := W
% 30.22/30.63 Z := V2
% 30.22/30.63 T := V3
% 30.22/30.63 U := V0
% 30.22/30.63 W := V1
% 30.22/30.63 V0 := V4
% 30.22/30.63 V1 := V5
% 30.22/30.63 end
% 30.22/30.63
% 30.22/30.63 subsumption: (520) {G1,W27,D2,L3,V12,M3} R(21,20) { ! eqangle( X, Y, Z, T,
% 30.22/30.63 U, W, V0, V1 ), eqangle( X, Y, Z, T, V2, V3, V4, V5 ), ! eqangle( U, W,
% 30.22/30.63 V2, V3, V0, V1, V4, V5 ) }.
% 30.22/30.63 parent0: (62161) {G1,W27,D2,L3,V12,M3} { ! eqangle( X, Y, Z, T, U, W, V0,
% 30.22/30.63 V1 ), eqangle( X, Y, Z, T, V2, V3, V4, V5 ), ! eqangle( U, W, V2, V3, V0
% 30.22/30.63 , V1, V4, V5 ) }.
% 30.22/30.63 substitution0:
% 30.22/30.63 X := X
% 30.22/30.63 Y := Y
% 30.22/30.63 Z := Z
% 30.22/30.63 T := T
% 30.22/30.63 U := U
% 30.22/30.63 W := W
% 30.22/30.63 V0 := V0
% 30.22/30.63 V1 := V1
% 30.22/30.63 V2 := V2
% 30.22/30.63 V3 := V3
% 30.22/30.63 V4 := V4
% 30.22/30.63 V5 := V5
% 30.22/30.63 end
% 30.22/30.63 permutation0:
% 30.22/30.63 0 ==> 0
% 30.22/30.63 1 ==> 1
% 30.22/30.63 2 ==> 2
% 30.22/30.63 end
% 30.22/30.63
% 30.22/30.63 resolution: (62165) {G1,W8,D2,L2,V3,M2} { coll( Y, X, X ), ! coll( X, Z, Y
% 30.22/30.63 ) }.
% 30.22/30.63 parent0[0]: (1) {G0,W8,D2,L2,V3,M2} I { ! coll( X, Y, Z ), coll( Y, X, Z )
% 30.22/30.63 }.
% 30.22/30.63 parent1[0]: (430) {G4,W8,D2,L2,V3,M2} F(413) { coll( X, Y, X ), ! coll( X,
% 30.22/30.63 Z, Y ) }.
% 30.22/30.63 substitution0:
% 30.22/30.63 X := X
% 30.22/30.63 Y := Y
% 30.22/30.63 Z := X
% 30.22/30.63 end
% 30.22/30.63 substitution1:
% 30.22/30.63 X := X
% 30.22/30.63 Y := Y
% 30.22/30.63 Z := Z
% 30.22/30.63 end
% 30.22/30.63
% 30.22/30.63 subsumption: (706) {G5,W8,D2,L2,V3,M2} R(430,1) { ! coll( X, Y, Z ), coll(
% 30.22/30.63 Z, X, X ) }.
% 30.22/30.63 parent0: (62165) {G1,W8,D2,L2,V3,M2} { coll( Y, X, X ), ! coll( X, Z, Y )
% 30.22/30.63 }.
% 30.22/30.63 substitution0:
% 30.22/30.63 X := X
% 30.22/30.63 Y := Z
% 30.22/30.63 Z := Y
% 30.22/30.63 end
% 30.22/30.63 permutation0:
% 30.22/30.63 0 ==> 1
% 30.22/30.63 1 ==> 0
% 30.22/30.63 end
% 30.22/30.63
% 30.22/30.63 resolution: (62167) {G1,W8,D2,L2,V3,M2} { coll( X, X, Y ), ! coll( X, Z, Y
% 30.22/30.63 ) }.
% 30.22/30.63 parent0[0]: (0) {G0,W8,D2,L2,V3,M2} I { ! coll( X, Y, Z ), coll( X, Z, Y )
% 30.22/30.63 }.
% 30.22/30.63 parent1[0]: (430) {G4,W8,D2,L2,V3,M2} F(413) { coll( X, Y, X ), ! coll( X,
% 30.22/30.63 Z, Y ) }.
% 30.22/30.63 substitution0:
% 30.22/30.63 X := X
% 30.22/30.63 Y := Y
% 30.22/30.63 Z := X
% 30.22/30.63 end
% 30.22/30.63 substitution1:
% 30.22/30.63 X := X
% 30.22/30.63 Y := Y
% 30.22/30.63 Z := Z
% 30.22/30.63 end
% 30.22/30.63
% 30.22/30.63 subsumption: (708) {G5,W8,D2,L2,V3,M2} R(430,0) { ! coll( X, Y, Z ), coll(
% 30.22/30.63 X, X, Z ) }.
% 30.22/30.63 parent0: (62167) {G1,W8,D2,L2,V3,M2} { coll( X, X, Y ), ! coll( X, Z, Y )
% 30.22/30.63 }.
% 30.22/30.63 substitution0:
% 30.22/30.63 X := X
% 30.22/30.63 Y := Z
% 30.22/30.63 Z := Y
% 30.22/30.63 end
% 30.22/30.63 permutation0:
% 30.22/30.63 0 ==> 1
% 30.22/30.63 1 ==> 0
% 30.22/30.63 end
% 30.22/30.63
% 30.22/30.63 resolution: (62168) {G1,W8,D2,L2,V3,M2} { coll( Z, X, X ), ! coll( X, Z, Y
% 30.22/30.63 ) }.
% 30.22/30.63 parent0[0]: (706) {G5,W8,D2,L2,V3,M2} R(430,1) { ! coll( X, Y, Z ), coll( Z
% 30.22/30.63 , X, X ) }.
% 30.22/30.63 parent1[1]: (0) {G0,W8,D2,L2,V3,M2} I { ! coll( X, Y, Z ), coll( X, Z, Y )
% 30.22/30.63 }.
% 30.22/30.63 substitution0:
% 30.22/30.63 X := X
% 30.22/30.63 Y := Y
% 30.22/30.63 Z := Z
% 30.22/30.63 end
% 30.22/30.63 substitution1:
% 30.22/30.63 X := X
% 30.22/30.63 Y := Z
% 30.22/30.63 Z := Y
% 30.22/30.63 end
% 30.22/30.63
% 30.22/30.63 subsumption: (712) {G6,W8,D2,L2,V3,M2} R(706,0) { coll( X, Y, Y ), ! coll(
% 30.22/30.63 Y, X, Z ) }.
% 30.22/30.63 parent0: (62168) {G1,W8,D2,L2,V3,M2} { coll( Z, X, X ), ! coll( X, Z, Y )
% 30.22/30.63 }.
% 30.22/30.63 substitution0:
% 30.22/30.63 X := Y
% 30.22/30.63 Y := Z
% 30.22/30.63 Z := X
% 30.22/30.63 end
% 30.22/30.63 permutation0:
% 30.22/30.63 0 ==> 0
% 30.22/30.63 1 ==> 1
% 30.22/30.63 end
% 30.22/30.63
% 30.22/30.63 resolution: (62169) {G7,W8,D2,L2,V3,M2} { coll( X, Y, Y ), ! coll( X, Y, Z
% 30.22/30.63 ) }.
% 30.22/30.63 parent0[1]: (712) {G6,W8,D2,L2,V3,M2} R(706,0) { coll( X, Y, Y ), ! coll( Y
% 30.22/30.63 , X, Z ) }.
% 30.22/30.63 parent1[0]: (712) {G6,W8,D2,L2,V3,M2} R(706,0) { coll( X, Y, Y ), ! coll( Y
% 30.22/30.63 , X, Z ) }.
% 30.22/30.63 substitution0:
% 30.22/30.63 X := X
% 30.22/30.63 Y := Y
% 30.22/30.63 Z := X
% 30.22/30.63 end
% 30.22/30.63 substitution1:
% 30.22/30.63 X := Y
% 30.22/30.63 Y := X
% 30.22/30.63 Z := Z
% 30.22/30.63 end
% 30.22/30.63
% 30.22/30.63 subsumption: (718) {G7,W8,D2,L2,V3,M2} R(712,712) { ! coll( X, Y, Z ), coll
% 30.22/30.63 ( X, Y, Y ) }.
% 30.22/30.63 parent0: (62169) {G7,W8,D2,L2,V3,M2} { coll( X, Y, Y ), ! coll( X, Y, Z )
% 30.22/30.63 }.
% 30.22/30.63 substitution0:
% 30.22/30.63 X := X
% 30.22/30.63 Y := Y
% 30.22/30.63 Z := Z
% 30.22/30.63 end
% 30.22/30.63 permutation0:
% 30.22/30.63 0 ==> 1
% 30.22/30.63 1 ==> 0
% 30.22/30.63 end
% 30.22/30.63
% 30.22/30.63 resolution: (62173) {G1,W12,D2,L3,V4,M3} { ! coll( X, Y, Z ), coll( Z, Y,
% 30.22/30.63 X ), ! coll( X, Y, T ) }.
% 30.22/30.63 parent0[1]: (2) {G0,W12,D2,L3,V4,M3} I { ! coll( X, T, Y ), ! coll( X, T, Z
% 30.22/30.63 ), coll( Y, Z, X ) }.
% 30.22/30.63 parent1[1]: (718) {G7,W8,D2,L2,V3,M2} R(712,712) { ! coll( X, Y, Z ), coll
% 30.22/30.63 ( X, Y, Y ) }.
% 30.22/30.63 substitution0:
% 30.22/30.63 X := X
% 30.22/30.63 Y := Z
% 30.22/30.63 Z := Y
% 30.22/30.63 T := Y
% 30.22/30.63 end
% 30.22/30.63 substitution1:
% 30.22/30.63 X := X
% 30.22/30.63 Y := Y
% 30.22/30.63 Z := T
% 30.22/30.63 end
% 30.22/30.63
% 30.22/30.63 subsumption: (721) {G8,W12,D2,L3,V4,M3} R(718,2) { ! coll( X, Y, Z ), !
% 30.22/30.63 coll( X, Y, T ), coll( T, Y, X ) }.
% 30.22/30.63 parent0: (62173) {G1,W12,D2,L3,V4,M3} { ! coll( X, Y, Z ), coll( Z, Y, X )
% 30.22/30.63 , ! coll( X, Y, T ) }.
% 30.22/30.63 substitution0:
% 30.22/30.63 X := X
% 30.22/30.63 Y := Y
% 30.22/30.63 Z := T
% 30.22/30.63 T := Z
% 30.22/30.63 end
% 30.22/30.63 permutation0:
% 30.22/30.63 0 ==> 1
% 30.22/30.63 1 ==> 2
% 30.22/30.63 2 ==> 0
% 30.22/30.63 end
% 30.22/30.63
% 30.22/30.63 factor: (62176) {G8,W8,D2,L2,V3,M2} { ! coll( X, Y, Z ), coll( Z, Y, X )
% 30.22/30.63 }.
% 30.22/30.63 parent0[0, 1]: (721) {G8,W12,D2,L3,V4,M3} R(718,2) { ! coll( X, Y, Z ), !
% 30.22/30.63 coll( X, Y, T ), coll( T, Y, X ) }.
% 30.22/30.63 substitution0:
% 30.22/30.63 X := X
% 30.22/30.63 Y := Y
% 30.22/30.63 Z := Z
% 30.22/30.63 T := Z
% 30.22/30.63 end
% 30.22/30.63
% 30.22/30.63 subsumption: (722) {G9,W8,D2,L2,V3,M2} F(721) { ! coll( X, Y, Z ), coll( Z
% 30.22/30.63 , Y, X ) }.
% 30.22/30.63 parent0: (62176) {G8,W8,D2,L2,V3,M2} { ! coll( X, Y, Z ), coll( Z, Y, X )
% 30.22/30.63 }.
% 30.22/30.63 substitution0:
% 30.22/30.63 X := X
% 30.22/30.63 Y := Y
% 30.22/30.63 Z := Z
% 30.22/30.63 end
% 30.22/30.63 permutation0:
% 30.22/30.63 0 ==> 0
% 30.22/30.63 1 ==> 1
% 30.22/30.63 end
% 30.22/30.63
% 30.22/30.63 resolution: (62177) {G1,W12,D2,L3,V4,M3} { coll( Z, Y, X ), ! coll( Z, T,
% 30.22/30.63 X ), ! coll( Z, T, Y ) }.
% 30.22/30.63 parent0[0]: (722) {G9,W8,D2,L2,V3,M2} F(721) { ! coll( X, Y, Z ), coll( Z,
% 30.22/30.63 Y, X ) }.
% 30.22/30.63 parent1[2]: (2) {G0,W12,D2,L3,V4,M3} I { ! coll( X, T, Y ), ! coll( X, T, Z
% 30.22/30.63 ), coll( Y, Z, X ) }.
% 30.22/30.63 substitution0:
% 30.22/30.63 X := X
% 30.22/30.63 Y := Y
% 30.22/30.63 Z := Z
% 30.22/30.63 end
% 30.22/30.63 substitution1:
% 30.22/30.63 X := Z
% 30.22/30.63 Y := X
% 30.22/30.63 Z := Y
% 30.22/30.63 T := T
% 30.22/30.63 end
% 30.22/30.63
% 30.22/30.63 subsumption: (729) {G10,W12,D2,L3,V4,M3} R(722,2) { coll( X, Y, Z ), ! coll
% 30.22/30.63 ( X, T, Z ), ! coll( X, T, Y ) }.
% 30.22/30.63 parent0: (62177) {G1,W12,D2,L3,V4,M3} { coll( Z, Y, X ), ! coll( Z, T, X )
% 30.22/30.63 , ! coll( Z, T, Y ) }.
% 30.22/30.63 substitution0:
% 30.22/30.63 X := Z
% 30.22/30.63 Y := Y
% 30.22/30.63 Z := X
% 30.22/30.63 T := T
% 30.22/30.63 end
% 30.22/30.63 permutation0:
% 30.22/30.63 0 ==> 0
% 30.22/30.63 1 ==> 1
% 30.22/30.63 2 ==> 2
% 30.22/30.63 end
% 30.22/30.63
% 30.22/30.63 resolution: (62179) {G1,W14,D2,L2,V6,M2} { eqangle( X, Y, U, W, Z, T, Z, T
% 30.22/30.63 ), ! para( X, Y, U, W ) }.
% 30.22/30.63 parent0[0]: (20) {G0,W18,D2,L2,V8,M2} I { ! eqangle( X, Y, Z, T, U, W, V0,
% 30.22/30.63 V1 ), eqangle( X, Y, U, W, Z, T, V0, V1 ) }.
% 30.22/30.63 parent1[1]: (39) {G0,W14,D2,L2,V6,M2} I { ! para( X, Y, Z, T ), eqangle( X
% 30.22/30.63 , Y, U, W, Z, T, U, W ) }.
% 30.22/30.63 substitution0:
% 30.22/30.63 X := X
% 30.22/30.63 Y := Y
% 30.22/30.63 Z := Z
% 30.22/30.63 T := T
% 30.22/30.63 U := U
% 30.22/30.63 W := W
% 30.22/30.63 V0 := Z
% 30.22/30.63 V1 := T
% 30.22/30.63 end
% 30.22/30.63 substitution1:
% 30.22/30.63 X := X
% 30.22/30.63 Y := Y
% 30.22/30.63 Z := U
% 30.22/30.63 T := W
% 30.22/30.63 U := Z
% 30.22/30.63 W := T
% 30.22/30.63 end
% 30.22/30.63
% 30.22/30.63 subsumption: (774) {G1,W14,D2,L2,V6,M2} R(39,20) { ! para( X, Y, Z, T ),
% 30.22/30.63 eqangle( X, Y, Z, T, U, W, U, W ) }.
% 30.22/30.63 parent0: (62179) {G1,W14,D2,L2,V6,M2} { eqangle( X, Y, U, W, Z, T, Z, T )
% 30.22/30.63 , ! para( X, Y, U, W ) }.
% 30.22/30.63 substitution0:
% 30.22/30.63 X := X
% 30.22/30.63 Y := Y
% 30.22/30.63 Z := U
% 30.22/30.63 T := W
% 30.22/30.63 U := Z
% 30.22/30.63 W := T
% 30.22/30.63 end
% 30.22/30.63 permutation0:
% 30.22/30.63 0 ==> 1
% 30.22/30.63 1 ==> 0
% 30.22/30.63 end
% 30.22/30.63
% 30.22/30.63 resolution: (62180) {G1,W14,D2,L2,V6,M2} { eqangle( Z, T, X, Y, Z, T, U, W
% 30.22/30.63 ), ! para( X, Y, U, W ) }.
% 30.22/30.63 parent0[0]: (18) {G0,W18,D2,L2,V8,M2} I { ! eqangle( X, Y, Z, T, U, W, V0,
% 30.22/30.63 V1 ), eqangle( Z, T, X, Y, V0, V1, U, W ) }.
% 30.22/30.63 parent1[1]: (39) {G0,W14,D2,L2,V6,M2} I { ! para( X, Y, Z, T ), eqangle( X
% 30.22/30.63 , Y, U, W, Z, T, U, W ) }.
% 30.22/30.63 substitution0:
% 30.22/30.63 X := X
% 30.22/30.63 Y := Y
% 30.22/30.63 Z := Z
% 30.22/30.63 T := T
% 30.22/30.63 U := U
% 30.22/30.63 W := W
% 30.22/30.63 V0 := Z
% 30.22/30.63 V1 := T
% 30.22/30.63 end
% 30.22/30.63 substitution1:
% 30.22/30.63 X := X
% 30.22/30.63 Y := Y
% 30.22/30.63 Z := U
% 30.22/30.63 T := W
% 30.22/30.63 U := Z
% 30.22/30.63 W := T
% 30.22/30.63 end
% 30.22/30.63
% 30.22/30.63 subsumption: (776) {G1,W14,D2,L2,V6,M2} R(39,18) { ! para( X, Y, Z, T ),
% 30.22/30.63 eqangle( U, W, X, Y, U, W, Z, T ) }.
% 30.22/30.63 parent0: (62180) {G1,W14,D2,L2,V6,M2} { eqangle( Z, T, X, Y, Z, T, U, W )
% 30.22/30.63 , ! para( X, Y, U, W ) }.
% 30.22/30.63 substitution0:
% 30.22/30.63 X := X
% 30.22/30.63 Y := Y
% 30.22/30.63 Z := U
% 30.22/30.63 T := W
% 30.22/30.63 U := Z
% 30.22/30.63 W := T
% 30.22/30.63 end
% 30.22/30.63 permutation0:
% 30.22/30.63 0 ==> 1
% 30.22/30.63 1 ==> 0
% 30.22/30.63 end
% 30.22/30.63
% 30.22/30.63 resolution: (62181) {G1,W10,D2,L2,V3,M2} { para( X, Y, X, Y ), ! cyclic( Y
% 30.22/30.63 , Z, X, X ) }.
% 30.22/30.63 parent0[0]: (38) {G0,W14,D2,L2,V6,M2} I { ! eqangle( X, Y, U, W, Z, T, U, W
% 30.22/30.63 ), para( X, Y, Z, T ) }.
% 30.22/30.63 parent1[1]: (40) {G0,W14,D2,L2,V4,M2} I { ! cyclic( X, Y, Z, T ), eqangle(
% 30.22/30.63 Z, X, Z, Y, T, X, T, Y ) }.
% 30.22/30.63 substitution0:
% 30.22/30.63 X := X
% 30.22/30.63 Y := Y
% 30.22/30.63 Z := X
% 30.22/30.63 T := Y
% 30.22/30.63 U := X
% 30.22/30.63 W := Z
% 30.22/30.63 end
% 30.22/30.63 substitution1:
% 30.22/30.63 X := Y
% 30.22/30.63 Y := Z
% 30.22/30.63 Z := X
% 30.22/30.63 T := X
% 30.22/30.63 end
% 30.22/30.63
% 30.22/30.63 subsumption: (816) {G1,W10,D2,L2,V3,M2} R(40,38) { ! cyclic( X, Y, Z, Z ),
% 30.22/30.63 para( Z, X, Z, X ) }.
% 30.22/30.63 parent0: (62181) {G1,W10,D2,L2,V3,M2} { para( X, Y, X, Y ), ! cyclic( Y, Z
% 30.22/30.63 , X, X ) }.
% 30.22/30.63 substitution0:
% 30.22/30.63 X := Z
% 30.22/30.63 Y := X
% 30.22/30.63 Z := Y
% 30.22/30.63 end
% 30.22/30.63 permutation0:
% 30.22/30.63 0 ==> 1
% 30.22/30.63 1 ==> 0
% 30.22/30.63 end
% 30.22/30.63
% 30.22/30.63 resolution: (62182) {G1,W25,D2,L5,V4,M5} { ! cyclic( X, Y, Z, X ), !
% 30.22/30.63 cyclic( X, Y, Z, Y ), ! cyclic( X, Y, Z, T ), cong( X, Y, X, Y ), !
% 30.22/30.63 cyclic( X, Y, Z, T ) }.
% 30.22/30.63 parent0[3]: (43) {G0,W29,D2,L5,V6,M5} I { ! cyclic( X, Y, U, Z ), ! cyclic
% 30.22/30.63 ( X, Y, U, T ), ! cyclic( X, Y, U, W ), ! eqangle( U, X, U, Y, W, Z, W, T
% 30.22/30.63 ), cong( X, Y, Z, T ) }.
% 30.22/30.63 parent1[1]: (40) {G0,W14,D2,L2,V4,M2} I { ! cyclic( X, Y, Z, T ), eqangle(
% 30.22/30.63 Z, X, Z, Y, T, X, T, Y ) }.
% 30.22/30.63 substitution0:
% 30.22/30.63 X := X
% 30.22/30.63 Y := Y
% 30.22/30.63 Z := X
% 30.22/30.63 T := Y
% 30.22/30.63 U := Z
% 30.22/30.63 W := T
% 30.22/30.63 end
% 30.22/30.63 substitution1:
% 30.22/30.63 X := X
% 30.22/30.63 Y := Y
% 30.22/30.63 Z := Z
% 30.22/30.63 T := T
% 30.22/30.63 end
% 30.22/30.63
% 30.22/30.63 factor: (62184) {G1,W20,D2,L4,V3,M4} { ! cyclic( X, Y, Z, X ), ! cyclic( X
% 30.22/30.63 , Y, Z, Y ), cong( X, Y, X, Y ), ! cyclic( X, Y, Z, X ) }.
% 30.22/30.63 parent0[0, 2]: (62182) {G1,W25,D2,L5,V4,M5} { ! cyclic( X, Y, Z, X ), !
% 30.22/30.63 cyclic( X, Y, Z, Y ), ! cyclic( X, Y, Z, T ), cong( X, Y, X, Y ), !
% 30.22/30.63 cyclic( X, Y, Z, T ) }.
% 30.22/30.63 substitution0:
% 30.22/30.63 X := X
% 30.22/30.63 Y := Y
% 30.22/30.63 Z := Z
% 30.22/30.63 T := X
% 30.22/30.63 end
% 30.22/30.63
% 30.22/30.63 subsumption: (983) {G1,W20,D2,L4,V4,M4} R(43,40);f { ! cyclic( X, Y, Z, X )
% 30.22/30.63 , ! cyclic( X, Y, Z, Y ), ! cyclic( X, Y, Z, T ), cong( X, Y, X, Y ) }.
% 30.22/30.63 parent0: (62184) {G1,W20,D2,L4,V3,M4} { ! cyclic( X, Y, Z, X ), ! cyclic(
% 30.22/30.63 X, Y, Z, Y ), cong( X, Y, X, Y ), ! cyclic( X, Y, Z, X ) }.
% 30.22/30.63 substitution0:
% 30.22/30.63 X := X
% 30.22/30.63 Y := Y
% 30.22/30.63 Z := Z
% 30.22/30.63 end
% 30.22/30.63 permutation0:
% 30.22/30.63 0 ==> 0
% 30.22/30.63 1 ==> 1
% 30.22/30.63 2 ==> 3
% 30.22/30.63 3 ==> 0
% 30.22/30.63 end
% 30.22/30.63
% 30.22/30.63 factor: (62189) {G1,W15,D2,L3,V3,M3} { ! cyclic( X, Y, Z, X ), ! cyclic( X
% 30.22/30.63 , Y, Z, Y ), cong( X, Y, X, Y ) }.
% 30.22/30.63 parent0[0, 2]: (983) {G1,W20,D2,L4,V4,M4} R(43,40);f { ! cyclic( X, Y, Z, X
% 30.22/30.63 ), ! cyclic( X, Y, Z, Y ), ! cyclic( X, Y, Z, T ), cong( X, Y, X, Y )
% 30.22/30.63 }.
% 30.22/30.63 substitution0:
% 30.22/30.63 X := X
% 30.22/30.63 Y := Y
% 30.22/30.63 Z := Z
% 30.22/30.63 T := X
% 30.22/30.63 end
% 30.22/30.63
% 30.22/30.63 subsumption: (1015) {G2,W15,D2,L3,V3,M3} F(983) { ! cyclic( X, Y, Z, X ), !
% 30.22/30.63 cyclic( X, Y, Z, Y ), cong( X, Y, X, Y ) }.
% 30.22/30.63 parent0: (62189) {G1,W15,D2,L3,V3,M3} { ! cyclic( X, Y, Z, X ), ! cyclic(
% 30.22/30.63 X, Y, Z, Y ), cong( X, Y, X, Y ) }.
% 30.22/30.63 substitution0:
% 30.22/30.63 X := X
% 30.22/30.63 Y := Y
% 30.22/30.63 Z := Z
% 30.22/30.63 end
% 30.22/30.63 permutation0:
% 30.22/30.63 0 ==> 0
% 30.22/30.63 1 ==> 1
% 30.22/30.63 2 ==> 2
% 30.22/30.63 end
% 30.22/30.63
% 30.22/30.63 resolution: (62191) {G3,W5,D2,L1,V0,M1} { para( skol22, skol20, skol20,
% 30.22/30.63 skol22 ) }.
% 30.22/30.63 parent0[0]: (289) {G2,W10,D2,L2,V2,M2} R(8,255) { ! perp( skol28, skol27, X
% 30.22/30.63 , Y ), para( skol22, skol20, X, Y ) }.
% 30.22/30.63 parent1[0]: (372) {G3,W5,D2,L1,V0,M1} R(262,6) { perp( skol28, skol27,
% 30.22/30.63 skol20, skol22 ) }.
% 30.22/30.63 substitution0:
% 30.22/30.63 X := skol20
% 30.22/30.63 Y := skol22
% 30.22/30.63 end
% 30.22/30.63 substitution1:
% 30.22/30.63 end
% 30.22/30.63
% 30.22/30.63 subsumption: (18000) {G4,W5,D2,L1,V0,M1} R(289,372) { para( skol22, skol20
% 30.22/30.63 , skol20, skol22 ) }.
% 30.22/30.63 parent0: (62191) {G3,W5,D2,L1,V0,M1} { para( skol22, skol20, skol20,
% 30.22/30.63 skol22 ) }.
% 30.22/30.63 substitution0:
% 30.22/30.63 end
% 30.22/30.63 permutation0:
% 30.22/30.63 0 ==> 0
% 30.22/30.63 end
% 30.22/30.63
% 30.22/30.63 resolution: (62192) {G3,W5,D2,L1,V0,M1} { para( skol20, skol22, skol20,
% 30.22/30.63 skol22 ) }.
% 30.22/30.63 parent0[0]: (254) {G2,W10,D2,L2,V4,M2} F(248) { ! para( X, Y, Z, T ), para
% 30.22/30.63 ( Z, T, Z, T ) }.
% 30.22/30.63 parent1[0]: (18000) {G4,W5,D2,L1,V0,M1} R(289,372) { para( skol22, skol20,
% 30.22/30.63 skol20, skol22 ) }.
% 30.22/30.63 substitution0:
% 30.22/30.63 X := skol22
% 30.22/30.63 Y := skol20
% 30.22/30.63 Z := skol20
% 30.22/30.63 T := skol22
% 30.22/30.63 end
% 30.22/30.63 substitution1:
% 30.22/30.63 end
% 30.22/30.63
% 30.22/30.63 subsumption: (18007) {G5,W5,D2,L1,V0,M1} R(18000,254) { para( skol20,
% 30.22/30.63 skol22, skol20, skol22 ) }.
% 30.22/30.63 parent0: (62192) {G3,W5,D2,L1,V0,M1} { para( skol20, skol22, skol20,
% 30.22/30.63 skol22 ) }.
% 30.22/30.63 substitution0:
% 30.22/30.63 end
% 30.22/30.63 permutation0:
% 30.22/30.63 0 ==> 0
% 30.22/30.63 end
% 30.22/30.63
% 30.22/30.63 resolution: (62193) {G1,W4,D2,L1,V0,M1} { coll( skol20, skol22, skol22 )
% 30.22/30.63 }.
% 30.22/30.63 parent0[0]: (66) {G0,W9,D2,L2,V3,M2} I { ! para( X, Y, X, Z ), coll( X, Y,
% 30.22/30.63 Z ) }.
% 30.22/30.63 parent1[0]: (18007) {G5,W5,D2,L1,V0,M1} R(18000,254) { para( skol20, skol22
% 30.22/30.63 , skol20, skol22 ) }.
% 30.22/30.63 substitution0:
% 30.22/30.63 X := skol20
% 30.22/30.63 Y := skol22
% 30.22/30.63 Z := skol22
% 30.22/30.63 end
% 30.22/30.63 substitution1:
% 30.22/30.63 end
% 30.22/30.63
% 30.22/30.63 subsumption: (18017) {G6,W4,D2,L1,V0,M1} R(18007,66) { coll( skol20, skol22
% 30.22/30.63 , skol22 ) }.
% 30.22/30.63 parent0: (62193) {G1,W4,D2,L1,V0,M1} { coll( skol20, skol22, skol22 ) }.
% 30.22/30.63 substitution0:
% 30.22/30.63 end
% 30.22/30.63 permutation0:
% 30.22/30.63 0 ==> 0
% 30.22/30.63 end
% 30.22/30.63
% 30.22/30.63 resolution: (62194) {G6,W4,D2,L1,V0,M1} { coll( skol20, skol20, skol22 )
% 30.22/30.63 }.
% 30.22/30.63 parent0[0]: (708) {G5,W8,D2,L2,V3,M2} R(430,0) { ! coll( X, Y, Z ), coll( X
% 30.22/30.63 , X, Z ) }.
% 30.22/30.63 parent1[0]: (18017) {G6,W4,D2,L1,V0,M1} R(18007,66) { coll( skol20, skol22
% 30.22/30.63 , skol22 ) }.
% 30.22/30.63 substitution0:
% 30.22/30.63 X := skol20
% 30.22/30.63 Y := skol22
% 30.22/30.63 Z := skol22
% 30.22/30.63 end
% 30.22/30.63 substitution1:
% 30.22/30.63 end
% 30.22/30.63
% 30.22/30.63 subsumption: (18035) {G7,W4,D2,L1,V0,M1} R(18017,708) { coll( skol20,
% 30.22/30.63 skol20, skol22 ) }.
% 30.22/30.63 parent0: (62194) {G6,W4,D2,L1,V0,M1} { coll( skol20, skol20, skol22 ) }.
% 30.22/30.63 substitution0:
% 30.22/30.63 end
% 30.22/30.63 permutation0:
% 30.22/30.63 0 ==> 0
% 30.22/30.63 end
% 30.22/30.63
% 30.22/30.63 resolution: (62195) {G1,W14,D2,L2,V1,M2} { ! eqangle( skol20, X, skol20,
% 30.22/30.63 skol22, skol20, X, skol20, skol22 ), cyclic( X, skol22, skol20, skol20 )
% 30.22/30.63 }.
% 30.22/30.63 parent0[1]: (42) {G0,W18,D2,L3,V4,M3} I { ! eqangle( Z, X, Z, Y, T, X, T, Y
% 30.22/30.63 ), ! coll( Z, T, Y ), cyclic( X, Y, Z, T ) }.
% 30.22/30.63 parent1[0]: (18035) {G7,W4,D2,L1,V0,M1} R(18017,708) { coll( skol20, skol20
% 30.22/30.63 , skol22 ) }.
% 30.22/30.63 substitution0:
% 30.22/30.63 X := X
% 30.22/30.63 Y := skol22
% 30.22/30.63 Z := skol20
% 30.22/30.63 T := skol20
% 30.22/30.63 end
% 30.22/30.63 substitution1:
% 30.22/30.63 end
% 30.22/30.63
% 30.22/30.63 subsumption: (18118) {G8,W14,D2,L2,V1,M2} R(18035,42) { ! eqangle( skol20,
% 30.22/30.63 X, skol20, skol22, skol20, X, skol20, skol22 ), cyclic( X, skol22, skol20
% 30.22/30.63 , skol20 ) }.
% 30.22/30.63 parent0: (62195) {G1,W14,D2,L2,V1,M2} { ! eqangle( skol20, X, skol20,
% 30.22/30.63 skol22, skol20, X, skol20, skol22 ), cyclic( X, skol22, skol20, skol20 )
% 30.22/30.63 }.
% 30.22/30.63 substitution0:
% 30.22/30.63 X := X
% 30.22/30.63 end
% 30.22/30.63 permutation0:
% 30.22/30.63 0 ==> 0
% 30.22/30.63 1 ==> 1
% 30.22/30.63 end
% 30.22/30.63
% 30.22/30.63 resolution: (62196) {G2,W9,D2,L1,V2,M1} { eqangle( X, Y, skol20, skol22, X
% 30.22/30.63 , Y, skol20, skol22 ) }.
% 30.22/30.63 parent0[0]: (776) {G1,W14,D2,L2,V6,M2} R(39,18) { ! para( X, Y, Z, T ),
% 30.22/30.63 eqangle( U, W, X, Y, U, W, Z, T ) }.
% 30.22/30.63 parent1[0]: (18007) {G5,W5,D2,L1,V0,M1} R(18000,254) { para( skol20, skol22
% 30.22/30.63 , skol20, skol22 ) }.
% 30.22/30.63 substitution0:
% 30.22/30.63 X := skol20
% 30.22/30.63 Y := skol22
% 30.22/30.63 Z := skol20
% 30.22/30.63 T := skol22
% 30.22/30.63 U := X
% 30.22/30.63 W := Y
% 30.22/30.63 end
% 30.22/30.63 substitution1:
% 30.22/30.63 end
% 30.22/30.63
% 30.22/30.63 subsumption: (57644) {G6,W9,D2,L1,V2,M1} R(776,18007) { eqangle( X, Y,
% 30.22/30.63 skol20, skol22, X, Y, skol20, skol22 ) }.
% 30.22/30.63 parent0: (62196) {G2,W9,D2,L1,V2,M1} { eqangle( X, Y, skol20, skol22, X, Y
% 30.22/30.63 , skol20, skol22 ) }.
% 30.22/30.63 substitution0:
% 30.22/30.63 X := X
% 30.22/30.63 Y := Y
% 30.22/30.63 end
% 30.22/30.63 permutation0:
% 30.22/30.63 0 ==> 0
% 30.22/30.63 end
% 30.22/30.63
% 30.22/30.63 resolution: (62197) {G7,W5,D2,L1,V1,M1} { cyclic( X, skol22, skol20,
% 30.22/30.63 skol20 ) }.
% 30.22/30.63 parent0[0]: (18118) {G8,W14,D2,L2,V1,M2} R(18035,42) { ! eqangle( skol20, X
% 30.22/30.63 , skol20, skol22, skol20, X, skol20, skol22 ), cyclic( X, skol22, skol20
% 30.22/30.63 , skol20 ) }.
% 30.22/30.63 parent1[0]: (57644) {G6,W9,D2,L1,V2,M1} R(776,18007) { eqangle( X, Y,
% 30.22/30.63 skol20, skol22, X, Y, skol20, skol22 ) }.
% 30.22/30.63 substitution0:
% 30.22/30.63 X := X
% 30.22/30.63 end
% 30.22/30.63 substitution1:
% 30.22/30.63 X := skol20
% 30.22/30.63 Y := X
% 30.22/30.63 end
% 30.22/30.63
% 30.22/30.63 subsumption: (60517) {G9,W5,D2,L1,V1,M1} S(18118);r(57644) { cyclic( X,
% 30.22/30.63 skol22, skol20, skol20 ) }.
% 30.22/30.63 parent0: (62197) {G7,W5,D2,L1,V1,M1} { cyclic( X, skol22, skol20, skol20 )
% 30.22/30.63 }.
% 30.22/30.63 substitution0:
% 30.22/30.63 X := X
% 30.22/30.63 end
% 30.22/30.63 permutation0:
% 30.22/30.63 0 ==> 0
% 30.22/30.63 end
% 30.22/30.63
% 30.22/30.63 resolution: (62198) {G2,W5,D2,L1,V1,M1} { cyclic( skol22, X, skol20,
% 30.22/30.63 skol20 ) }.
% 30.22/30.63 parent0[1]: (445) {G1,W10,D2,L2,V4,M2} R(15,13) { cyclic( X, Y, Z, T ), !
% 30.22/30.63 cyclic( Y, X, T, Z ) }.
% 30.22/30.63 parent1[0]: (60517) {G9,W5,D2,L1,V1,M1} S(18118);r(57644) { cyclic( X,
% 30.22/30.63 skol22, skol20, skol20 ) }.
% 30.22/30.63 substitution0:
% 30.22/30.63 X := skol22
% 30.22/30.63 Y := X
% 30.22/30.63 Z := skol20
% 30.22/30.63 T := skol20
% 30.22/30.63 end
% 30.22/30.63 substitution1:
% 30.22/30.63 X := X
% 30.22/30.63 end
% 30.22/30.63
% 30.22/30.63 subsumption: (60553) {G10,W5,D2,L1,V1,M1} R(60517,445) { cyclic( skol22, X
% 30.22/30.63 , skol20, skol20 ) }.
% 30.22/30.63 parent0: (62198) {G2,W5,D2,L1,V1,M1} { cyclic( skol22, X, skol20, skol20 )
% 30.22/30.63 }.
% 30.22/30.63 substitution0:
% 30.22/30.63 X := X
% 30.22/30.63 end
% 30.22/30.63 permutation0:
% 30.22/30.63 0 ==> 0
% 30.22/30.63 end
% 30.22/30.63
% 30.22/30.63 resolution: (62199) {G3,W5,D2,L1,V1,M1} { cyclic( skol20, X, skol20,
% 30.22/30.63 skol20 ) }.
% 30.22/30.63 parent0[0]: (471) {G2,W10,D2,L2,V4,M2} F(462) { ! cyclic( X, Y, Z, T ),
% 30.22/30.63 cyclic( Z, Y, T, T ) }.
% 30.22/30.63 parent1[0]: (60553) {G10,W5,D2,L1,V1,M1} R(60517,445) { cyclic( skol22, X,
% 30.22/30.63 skol20, skol20 ) }.
% 30.22/30.63 substitution0:
% 30.22/30.63 X := skol22
% 30.22/30.63 Y := X
% 30.22/30.63 Z := skol20
% 30.22/30.63 T := skol20
% 30.22/30.63 end
% 30.22/30.63 substitution1:
% 30.22/30.63 X := X
% 30.22/30.63 end
% 30.22/30.63
% 30.22/30.63 subsumption: (60562) {G11,W5,D2,L1,V1,M1} R(60553,471) { cyclic( skol20, X
% 30.22/30.63 , skol20, skol20 ) }.
% 30.22/30.63 parent0: (62199) {G3,W5,D2,L1,V1,M1} { cyclic( skol20, X, skol20, skol20 )
% 30.22/30.63 }.
% 30.22/30.63 substitution0:
% 30.22/30.63 X := X
% 30.22/30.63 end
% 30.22/30.63 permutation0:
% 30.22/30.63 0 ==> 0
% 30.22/30.63 end
% 30.22/30.63
% 30.22/30.63 resolution: (62200) {G2,W5,D2,L1,V1,M1} { cyclic( skol20, skol20, X,
% 30.22/30.63 skol20 ) }.
% 30.22/30.63 parent0[1]: (443) {G1,W10,D2,L2,V4,M2} R(15,14) { cyclic( X, Y, Z, T ), !
% 30.22/30.63 cyclic( Y, Z, X, T ) }.
% 30.22/30.63 parent1[0]: (60562) {G11,W5,D2,L1,V1,M1} R(60553,471) { cyclic( skol20, X,
% 30.22/30.63 skol20, skol20 ) }.
% 30.22/30.63 substitution0:
% 30.22/30.63 X := skol20
% 30.22/30.63 Y := skol20
% 30.22/30.63 Z := X
% 30.22/30.63 T := skol20
% 30.22/30.63 end
% 30.22/30.63 substitution1:
% 30.22/30.63 X := X
% 30.22/30.63 end
% 30.22/30.63
% 30.22/30.63 subsumption: (60580) {G12,W5,D2,L1,V1,M1} R(60562,443) { cyclic( skol20,
% 30.22/30.63 skol20, X, skol20 ) }.
% 30.22/30.63 parent0: (62200) {G2,W5,D2,L1,V1,M1} { cyclic( skol20, skol20, X, skol20 )
% 30.22/30.63 }.
% 30.22/30.63 substitution0:
% 30.22/30.63 X := X
% 30.22/30.63 end
% 30.22/30.63 permutation0:
% 30.22/30.63 0 ==> 0
% 30.22/30.63 end
% 30.22/30.63
% 30.22/30.63 resolution: (62201) {G2,W5,D2,L1,V1,M1} { cyclic( skol20, skol20, skol20,
% 30.22/30.63 X ) }.
% 30.22/30.63 parent0[0]: (436) {G1,W10,D2,L2,V4,M2} R(14,13) { ! cyclic( X, Y, Z, T ),
% 30.22/30.63 cyclic( X, Z, T, Y ) }.
% 30.22/30.63 parent1[0]: (60562) {G11,W5,D2,L1,V1,M1} R(60553,471) { cyclic( skol20, X,
% 30.22/30.63 skol20, skol20 ) }.
% 30.22/30.63 substitution0:
% 30.22/30.63 X := skol20
% 30.22/30.63 Y := X
% 30.22/30.63 Z := skol20
% 30.22/30.63 T := skol20
% 30.22/30.63 end
% 30.22/30.63 substitution1:
% 30.22/30.63 X := X
% 30.22/30.63 end
% 30.22/30.63
% 30.22/30.63 subsumption: (60581) {G12,W5,D2,L1,V1,M1} R(60562,436) { cyclic( skol20,
% 30.22/30.63 skol20, skol20, X ) }.
% 30.22/30.63 parent0: (62201) {G2,W5,D2,L1,V1,M1} { cyclic( skol20, skol20, skol20, X )
% 30.22/30.63 }.
% 30.22/30.63 substitution0:
% 30.22/30.63 X := X
% 30.22/30.63 end
% 30.22/30.63 permutation0:
% 30.22/30.63 0 ==> 0
% 30.22/30.63 end
% 30.22/30.63
% 30.22/30.63 resolution: (62203) {G2,W10,D2,L2,V2,M2} { ! cyclic( skol20, skol20,
% 30.22/30.63 skol20, X ), cyclic( skol20, skol20, X, Y ) }.
% 30.22/30.63 parent0[2]: (467) {G1,W15,D2,L3,V5,M3} R(16,13) { ! cyclic( X, Y, Z, T ),
% 30.22/30.63 cyclic( Y, Z, T, U ), ! cyclic( X, Y, U, Z ) }.
% 30.22/30.63 parent1[0]: (60580) {G12,W5,D2,L1,V1,M1} R(60562,443) { cyclic( skol20,
% 30.22/30.63 skol20, X, skol20 ) }.
% 30.22/30.63 substitution0:
% 30.22/30.63 X := skol20
% 30.22/30.63 Y := skol20
% 30.22/30.63 Z := skol20
% 30.22/30.63 T := X
% 30.22/30.63 U := Y
% 30.22/30.63 end
% 30.22/30.63 substitution1:
% 30.22/30.63 X := Y
% 30.22/30.63 end
% 30.22/30.63
% 30.22/30.63 resolution: (62204) {G3,W5,D2,L1,V2,M1} { cyclic( skol20, skol20, X, Y )
% 30.22/30.63 }.
% 30.22/30.63 parent0[0]: (62203) {G2,W10,D2,L2,V2,M2} { ! cyclic( skol20, skol20,
% 30.22/30.63 skol20, X ), cyclic( skol20, skol20, X, Y ) }.
% 30.22/30.63 parent1[0]: (60581) {G12,W5,D2,L1,V1,M1} R(60562,436) { cyclic( skol20,
% 30.22/30.63 skol20, skol20, X ) }.
% 30.22/30.63 substitution0:
% 30.22/30.63 X := X
% 30.22/30.63 Y := Y
% 30.22/30.63 end
% 30.22/30.63 substitution1:
% 30.22/30.63 X := X
% 30.22/30.63 end
% 30.22/30.63
% 30.22/30.63 subsumption: (60584) {G13,W5,D2,L1,V2,M1} R(60580,467);r(60581) { cyclic(
% 30.22/30.63 skol20, skol20, X, Y ) }.
% 30.22/30.63 parent0: (62204) {G3,W5,D2,L1,V2,M1} { cyclic( skol20, skol20, X, Y ) }.
% 30.22/30.63 substitution0:
% 30.22/30.63 X := X
% 30.22/30.63 Y := Y
% 30.22/30.63 end
% 30.22/30.63 permutation0:
% 30.22/30.63 0 ==> 0
% 30.22/30.63 end
% 30.22/30.63
% 30.22/30.63 resolution: (62205) {G2,W10,D2,L2,V3,M2} { cyclic( skol20, X, Y, Z ), !
% 30.22/30.63 cyclic( skol20, skol20, Z, X ) }.
% 30.22/30.63 parent0[0]: (467) {G1,W15,D2,L3,V5,M3} R(16,13) { ! cyclic( X, Y, Z, T ),
% 30.22/30.63 cyclic( Y, Z, T, U ), ! cyclic( X, Y, U, Z ) }.
% 30.22/30.63 parent1[0]: (60584) {G13,W5,D2,L1,V2,M1} R(60580,467);r(60581) { cyclic(
% 30.22/30.63 skol20, skol20, X, Y ) }.
% 30.22/30.63 substitution0:
% 30.22/30.63 X := skol20
% 30.22/30.63 Y := skol20
% 30.22/30.63 Z := X
% 30.22/30.63 T := Y
% 30.22/30.63 U := Z
% 30.22/30.63 end
% 30.22/30.63 substitution1:
% 30.22/30.63 X := X
% 30.22/30.63 Y := Y
% 30.22/30.63 end
% 30.22/30.63
% 30.22/30.63 resolution: (62207) {G3,W5,D2,L1,V3,M1} { cyclic( skol20, X, Y, Z ) }.
% 30.22/30.63 parent0[1]: (62205) {G2,W10,D2,L2,V3,M2} { cyclic( skol20, X, Y, Z ), !
% 30.22/30.63 cyclic( skol20, skol20, Z, X ) }.
% 30.22/30.63 parent1[0]: (60584) {G13,W5,D2,L1,V2,M1} R(60580,467);r(60581) { cyclic(
% 30.22/30.63 skol20, skol20, X, Y ) }.
% 30.22/30.63 substitution0:
% 30.22/30.63 X := X
% 30.22/30.63 Y := Y
% 30.22/30.63 Z := Z
% 30.22/30.63 end
% 30.22/30.63 substitution1:
% 30.22/30.63 X := Z
% 30.22/30.63 Y := X
% 30.22/30.63 end
% 30.22/30.63
% 30.22/30.63 subsumption: (60942) {G14,W5,D2,L1,V3,M1} R(60584,467);r(60584) { cyclic(
% 30.22/30.63 skol20, X, Y, Z ) }.
% 30.22/30.63 parent0: (62207) {G3,W5,D2,L1,V3,M1} { cyclic( skol20, X, Y, Z ) }.
% 30.22/30.63 substitution0:
% 30.22/30.63 X := X
% 30.22/30.63 Y := Y
% 30.22/30.63 Z := Z
% 30.22/30.63 end
% 30.22/30.63 permutation0:
% 30.22/30.63 0 ==> 0
% 30.22/30.63 end
% 30.22/30.63
% 30.22/30.63 resolution: (62208) {G2,W10,D2,L2,V4,M2} { cyclic( X, Y, Z, T ), ! cyclic
% 30.22/30.63 ( skol20, X, T, Y ) }.
% 30.22/30.63 parent0[0]: (467) {G1,W15,D2,L3,V5,M3} R(16,13) { ! cyclic( X, Y, Z, T ),
% 30.22/30.63 cyclic( Y, Z, T, U ), ! cyclic( X, Y, U, Z ) }.
% 30.22/30.63 parent1[0]: (60942) {G14,W5,D2,L1,V3,M1} R(60584,467);r(60584) { cyclic(
% 30.22/30.63 skol20, X, Y, Z ) }.
% 30.22/30.63 substitution0:
% 30.22/30.63 X := skol20
% 30.22/30.63 Y := X
% 30.22/30.63 Z := Y
% 30.22/30.63 T := Z
% 30.22/30.63 U := T
% 30.22/30.63 end
% 30.22/30.63 substitution1:
% 30.22/30.63 X := X
% 30.22/30.63 Y := Y
% 30.22/30.63 Z := Z
% 30.22/30.63 end
% 30.22/30.63
% 30.22/30.63 resolution: (62210) {G3,W5,D2,L1,V4,M1} { cyclic( X, Y, Z, T ) }.
% 30.22/30.63 parent0[1]: (62208) {G2,W10,D2,L2,V4,M2} { cyclic( X, Y, Z, T ), ! cyclic
% 30.22/30.63 ( skol20, X, T, Y ) }.
% 30.22/30.63 parent1[0]: (60942) {G14,W5,D2,L1,V3,M1} R(60584,467);r(60584) { cyclic(
% 30.22/30.63 skol20, X, Y, Z ) }.
% 30.22/30.63 substitution0:
% 30.22/30.63 X := X
% 30.22/30.63 Y := Y
% 30.22/30.63 Z := Z
% 30.22/30.63 T := T
% 30.22/30.63 end
% 30.22/30.63 substitution1:
% 30.22/30.63 X := X
% 30.22/30.63 Y := T
% 30.22/30.63 Z := Y
% 30.22/30.63 end
% 30.22/30.63
% 30.22/30.63 subsumption: (60957) {G15,W5,D2,L1,V4,M1} R(60942,467);r(60942) { cyclic( X
% 30.22/30.63 , Y, Z, T ) }.
% 30.22/30.63 parent0: (62210) {G3,W5,D2,L1,V4,M1} { cyclic( X, Y, Z, T ) }.
% 30.22/30.63 substitution0:
% 30.22/30.63 X := X
% 30.22/30.63 Y := Y
% 30.22/30.63 Z := Z
% 30.22/30.63 T := T
% 30.22/30.63 end
% 30.22/30.63 permutation0:
% 30.22/30.63 0 ==> 0
% 30.22/30.63 end
% 30.22/30.63
% 30.22/30.63 resolution: (62211) {G2,W5,D2,L1,V2,M1} { para( Z, X, Z, X ) }.
% 30.22/30.63 parent0[0]: (816) {G1,W10,D2,L2,V3,M2} R(40,38) { ! cyclic( X, Y, Z, Z ),
% 30.22/30.63 para( Z, X, Z, X ) }.
% 30.22/30.63 parent1[0]: (60957) {G15,W5,D2,L1,V4,M1} R(60942,467);r(60942) { cyclic( X
% 30.22/30.63 , Y, Z, T ) }.
% 30.22/30.63 substitution0:
% 30.22/30.63 X := X
% 30.22/30.63 Y := Y
% 30.22/30.63 Z := Z
% 30.22/30.63 end
% 30.22/30.63 substitution1:
% 30.22/30.63 X := X
% 30.22/30.63 Y := Y
% 30.22/30.63 Z := Z
% 30.22/30.63 T := Z
% 30.22/30.63 end
% 30.22/30.63
% 30.22/30.63 subsumption: (60974) {G16,W5,D2,L1,V2,M1} S(816);r(60957) { para( Z, X, Z,
% 30.22/30.63 X ) }.
% 30.28/30.63 parent0: (62211) {G2,W5,D2,L1,V2,M1} { para( Z, X, Z, X ) }.
% 30.28/30.63 substitution0:
% 30.28/30.63 X := X
% 30.28/30.63 Y := T
% 30.28/30.63 Z := Z
% 30.28/30.63 end
% 30.28/30.63 permutation0:
% 30.28/30.63 0 ==> 0
% 30.28/30.63 end
% 30.28/30.63
% 30.28/30.63 resolution: (62212) {G1,W4,D2,L1,V2,M1} { coll( X, Y, Y ) }.
% 30.28/30.63 parent0[0]: (66) {G0,W9,D2,L2,V3,M2} I { ! para( X, Y, X, Z ), coll( X, Y,
% 30.28/30.63 Z ) }.
% 30.28/30.63 parent1[0]: (60974) {G16,W5,D2,L1,V2,M1} S(816);r(60957) { para( Z, X, Z, X
% 30.28/30.63 ) }.
% 30.28/30.63 substitution0:
% 30.28/30.63 X := X
% 30.28/30.63 Y := Y
% 30.28/30.63 Z := Y
% 30.28/30.63 end
% 30.28/30.63 substitution1:
% 30.28/30.63 X := Y
% 30.28/30.63 Y := Z
% 30.28/30.63 Z := X
% 30.28/30.63 end
% 30.28/30.63
% 30.28/30.63 subsumption: (60984) {G17,W4,D2,L1,V2,M1} R(60974,66) { coll( X, Y, Y ) }.
% 30.28/30.63 parent0: (62212) {G1,W4,D2,L1,V2,M1} { coll( X, Y, Y ) }.
% 30.28/30.63 substitution0:
% 30.28/30.63 X := X
% 30.28/30.63 Y := Y
% 30.28/30.63 end
% 30.28/30.63 permutation0:
% 30.28/30.63 0 ==> 0
% 30.28/30.63 end
% 30.28/30.63
% 30.28/30.63 resolution: (62213) {G2,W4,D2,L1,V2,M1} { coll( Y, Y, X ) }.
% 30.28/30.63 parent0[0]: (128) {G1,W8,D2,L2,V3,M2} F(2) { ! coll( X, Y, Z ), coll( Z, Z
% 30.28/30.63 , X ) }.
% 30.28/30.63 parent1[0]: (60984) {G17,W4,D2,L1,V2,M1} R(60974,66) { coll( X, Y, Y ) }.
% 30.28/30.63 substitution0:
% 30.28/30.63 X := X
% 30.28/30.63 Y := Y
% 30.28/30.63 Z := Y
% 30.28/30.63 end
% 30.28/30.63 substitution1:
% 30.28/30.63 X := X
% 30.28/30.63 Y := Y
% 30.28/30.63 end
% 30.28/30.63
% 30.28/30.63 subsumption: (61030) {G18,W4,D2,L1,V2,M1} R(60984,128) { coll( X, X, Y )
% 30.28/30.63 }.
% 30.28/30.63 parent0: (62213) {G2,W4,D2,L1,V2,M1} { coll( Y, Y, X ) }.
% 30.28/30.63 substitution0:
% 30.28/30.63 X := Y
% 30.28/30.63 Y := X
% 30.28/30.63 end
% 30.28/30.63 permutation0:
% 30.28/30.63 0 ==> 0
% 30.28/30.63 end
% 30.28/30.63
% 30.28/30.63 resolution: (62214) {G11,W8,D2,L2,V3,M2} { coll( X, Y, Z ), ! coll( X, X,
% 30.28/30.63 Y ) }.
% 30.28/30.63 parent0[1]: (729) {G10,W12,D2,L3,V4,M3} R(722,2) { coll( X, Y, Z ), ! coll
% 30.28/30.63 ( X, T, Z ), ! coll( X, T, Y ) }.
% 30.28/30.63 parent1[0]: (61030) {G18,W4,D2,L1,V2,M1} R(60984,128) { coll( X, X, Y ) }.
% 30.28/30.63 substitution0:
% 30.28/30.63 X := X
% 30.28/30.63 Y := Y
% 30.28/30.63 Z := Z
% 30.28/30.63 T := X
% 30.28/30.63 end
% 30.28/30.63 substitution1:
% 30.28/30.63 X := X
% 30.28/30.63 Y := Z
% 30.28/30.63 end
% 30.28/30.63
% 30.28/30.63 resolution: (62216) {G12,W4,D2,L1,V3,M1} { coll( X, Y, Z ) }.
% 30.28/30.63 parent0[1]: (62214) {G11,W8,D2,L2,V3,M2} { coll( X, Y, Z ), ! coll( X, X,
% 30.28/30.63 Y ) }.
% 30.28/30.63 parent1[0]: (61030) {G18,W4,D2,L1,V2,M1} R(60984,128) { coll( X, X, Y ) }.
% 30.28/30.63 substitution0:
% 30.28/30.63 X := X
% 30.28/30.63 Y := Y
% 30.28/30.63 Z := Z
% 30.28/30.63 end
% 30.28/30.63 substitution1:
% 30.28/30.63 X := X
% 30.28/30.63 Y := Y
% 30.28/30.63 end
% 30.28/30.63
% 30.28/30.63 subsumption: (61035) {G19,W4,D2,L1,V3,M1} R(61030,729);r(61030) { coll( X,
% 30.28/30.63 Y, Z ) }.
% 30.28/30.63 parent0: (62216) {G12,W4,D2,L1,V3,M1} { coll( X, Y, Z ) }.
% 30.28/30.63 substitution0:
% 30.28/30.63 X := X
% 30.28/30.63 Y := Y
% 30.28/30.63 Z := Z
% 30.28/30.63 end
% 30.28/30.63 permutation0:
% 30.28/30.63 0 ==> 0
% 30.28/30.63 end
% 30.28/30.63
% 30.28/30.63 resolution: (62219) {G3,W10,D2,L2,V3,M2} { ! cyclic( X, Y, Z, Y ), cong( X
% 30.28/30.63 , Y, X, Y ) }.
% 30.28/30.63 parent0[0]: (1015) {G2,W15,D2,L3,V3,M3} F(983) { ! cyclic( X, Y, Z, X ), !
% 30.28/30.63 cyclic( X, Y, Z, Y ), cong( X, Y, X, Y ) }.
% 30.28/30.63 parent1[0]: (60957) {G15,W5,D2,L1,V4,M1} R(60942,467);r(60942) { cyclic( X
% 30.28/30.63 , Y, Z, T ) }.
% 30.28/30.63 substitution0:
% 30.28/30.63 X := X
% 30.28/30.63 Y := Y
% 30.28/30.63 Z := Z
% 30.28/30.63 end
% 30.28/30.63 substitution1:
% 30.28/30.63 X := X
% 30.28/30.63 Y := Y
% 30.28/30.63 Z := Z
% 30.28/30.63 T := X
% 30.28/30.63 end
% 30.28/30.63
% 30.28/30.63 resolution: (62221) {G4,W5,D2,L1,V2,M1} { cong( X, Y, X, Y ) }.
% 30.28/30.63 parent0[0]: (62219) {G3,W10,D2,L2,V3,M2} { ! cyclic( X, Y, Z, Y ), cong( X
% 30.28/30.63 , Y, X, Y ) }.
% 30.28/30.63 parent1[0]: (60957) {G15,W5,D2,L1,V4,M1} R(60942,467);r(60942) { cyclic( X
% 30.28/30.63 , Y, Z, T ) }.
% 30.28/30.63 substitution0:
% 30.28/30.63 X := X
% 30.28/30.63 Y := Y
% 30.28/30.63 Z := Z
% 30.28/30.63 end
% 30.28/30.63 substitution1:
% 30.28/30.63 X := X
% 30.28/30.63 Y := Y
% 30.28/30.63 Z := Z
% 30.28/30.63 T := Y
% 30.28/30.63 end
% 30.28/30.63
% 30.28/30.63 subsumption: (61323) {G16,W5,D2,L1,V2,M1} S(1015);r(60957);r(60957) { cong
% 30.28/30.63 ( X, Y, X, Y ) }.
% 30.28/30.63 parent0: (62221) {G4,W5,D2,L1,V2,M1} { cong( X, Y, X, Y ) }.
% 30.28/30.63 substitution0:
% 30.28/30.63 X := X
% 30.28/30.63 Y := Y
% 30.28/30.63 end
% 30.28/30.63 permutation0:
% 30.28/30.63 0 ==> 0
% 30.28/30.63 end
% 30.28/30.63
% 30.28/30.63 resolution: (62222) {G2,W10,D2,L2,V2,M2} { ! cyclic( X, X, Y, Y ), perp( Y
% 30.28/30.63 , X, X, Y ) }.
% 30.28/30.63 parent0[0]: (141) {G1,W15,D2,L3,V3,M3} F(57) { ! cong( X, Y, Z, Y ), !
% 30.28/30.63 cyclic( X, Z, Y, Y ), perp( Y, X, X, Y ) }.
% 30.28/30.63 parent1[0]: (61323) {G16,W5,D2,L1,V2,M1} S(1015);r(60957);r(60957) { cong(
% 30.28/30.63 X, Y, X, Y ) }.
% 30.28/30.63 substitution0:
% 30.28/30.63 X := X
% 30.28/30.63 Y := Y
% 30.28/30.63 Z := X
% 30.28/30.63 end
% 30.28/30.63 substitution1:
% 30.28/30.63 X := X
% 30.28/30.63 Y := Y
% 30.28/30.63 end
% 30.28/30.63
% 30.28/30.63 resolution: (62223) {G3,W5,D2,L1,V2,M1} { perp( Y, X, X, Y ) }.
% 30.28/30.63 parent0[0]: (62222) {G2,W10,D2,L2,V2,M2} { ! cyclic( X, X, Y, Y ), perp( Y
% 30.28/30.63 , X, X, Y ) }.
% 30.28/30.63 parent1[0]: (60957) {G15,W5,D2,L1,V4,M1} R(60942,467);r(60942) { cyclic( X
% 30.28/30.63 , Y, Z, T ) }.
% 30.28/30.63 substitution0:
% 30.28/30.63 X := X
% 30.28/30.63 Y := Y
% 30.28/30.63 end
% 30.28/30.63 substitution1:
% 30.28/30.63 X := X
% 30.28/30.63 Y := X
% 30.28/30.63 Z := Y
% 30.28/30.63 T := Y
% 30.28/30.63 end
% 30.28/30.63
% 30.28/30.63 subsumption: (61327) {G17,W5,D2,L1,V2,M1} R(61323,141);r(60957) { perp( Y,
% 30.28/30.63 X, X, Y ) }.
% 30.28/30.63 parent0: (62223) {G3,W5,D2,L1,V2,M1} { perp( Y, X, X, Y ) }.
% 30.28/30.63 substitution0:
% 30.28/30.63 X := X
% 30.28/30.63 Y := Y
% 30.28/30.63 end
% 30.28/30.63 permutation0:
% 30.28/30.63 0 ==> 0
% 30.28/30.63 end
% 30.28/30.63
% 30.28/30.63 resolution: (62224) {G1,W8,D2,L2,V2,M2} { ! coll( X, Y, Y ), midp( X, Y, Y
% 30.28/30.63 ) }.
% 30.28/30.63 parent0[0]: (67) {G0,W13,D2,L3,V3,M3} I { ! cong( X, Y, X, Z ), ! coll( X,
% 30.28/30.63 Y, Z ), midp( X, Y, Z ) }.
% 30.28/30.63 parent1[0]: (61323) {G16,W5,D2,L1,V2,M1} S(1015);r(60957);r(60957) { cong(
% 30.28/30.63 X, Y, X, Y ) }.
% 30.28/30.63 substitution0:
% 30.28/30.63 X := X
% 30.28/30.63 Y := Y
% 30.28/30.63 Z := Y
% 30.28/30.63 end
% 30.28/30.63 substitution1:
% 30.28/30.63 X := X
% 30.28/30.63 Y := Y
% 30.28/30.63 end
% 30.28/30.63
% 30.28/30.63 resolution: (62225) {G2,W4,D2,L1,V2,M1} { midp( X, Y, Y ) }.
% 30.28/30.63 parent0[0]: (62224) {G1,W8,D2,L2,V2,M2} { ! coll( X, Y, Y ), midp( X, Y, Y
% 30.28/30.63 ) }.
% 30.28/30.63 parent1[0]: (61035) {G19,W4,D2,L1,V3,M1} R(61030,729);r(61030) { coll( X, Y
% 30.28/30.63 , Z ) }.
% 30.28/30.63 substitution0:
% 30.28/30.63 X := X
% 30.28/30.63 Y := Y
% 30.28/30.63 end
% 30.28/30.63 substitution1:
% 30.28/30.63 X := X
% 30.28/30.63 Y := Y
% 30.28/30.63 Z := Y
% 30.28/30.63 end
% 30.28/30.63
% 30.28/30.63 subsumption: (61336) {G20,W4,D2,L1,V2,M1} R(61323,67);r(61035) { midp( X, Y
% 30.28/30.63 , Y ) }.
% 30.28/30.63 parent0: (62225) {G2,W4,D2,L1,V2,M1} { midp( X, Y, Y ) }.
% 30.28/30.63 substitution0:
% 30.28/30.63 X := X
% 30.28/30.63 Y := Y
% 30.28/30.63 end
% 30.28/30.63 permutation0:
% 30.28/30.63 0 ==> 0
% 30.28/30.63 end
% 30.28/30.63
% 30.28/30.63 resolution: (62226) {G1,W10,D2,L2,V3,M2} { ! perp( X, Y, Y, X ), cong( X,
% 30.28/30.63 Z, Y, Z ) }.
% 30.28/30.63 parent0[1]: (52) {G0,W14,D2,L3,V4,M3} I { ! perp( X, Y, Y, T ), ! midp( Z,
% 30.28/30.63 X, T ), cong( X, Z, Y, Z ) }.
% 30.28/30.63 parent1[0]: (61336) {G20,W4,D2,L1,V2,M1} R(61323,67);r(61035) { midp( X, Y
% 30.28/30.63 , Y ) }.
% 30.28/30.63 substitution0:
% 30.28/30.63 X := X
% 30.28/30.63 Y := Y
% 30.28/30.63 Z := Z
% 30.28/30.63 T := X
% 30.28/30.63 end
% 30.28/30.63 substitution1:
% 30.28/30.63 X := Z
% 30.28/30.63 Y := X
% 30.28/30.63 end
% 30.28/30.63
% 30.28/30.63 resolution: (62227) {G2,W5,D2,L1,V3,M1} { cong( X, Z, Y, Z ) }.
% 30.28/30.63 parent0[0]: (62226) {G1,W10,D2,L2,V3,M2} { ! perp( X, Y, Y, X ), cong( X,
% 30.28/30.63 Z, Y, Z ) }.
% 30.28/30.63 parent1[0]: (61327) {G17,W5,D2,L1,V2,M1} R(61323,141);r(60957) { perp( Y, X
% 30.28/30.63 , X, Y ) }.
% 30.28/30.63 substitution0:
% 30.28/30.63 X := X
% 30.28/30.63 Y := Y
% 30.28/30.63 Z := Z
% 30.28/30.63 end
% 30.28/30.63 substitution1:
% 30.28/30.63 X := Y
% 30.28/30.63 Y := X
% 30.28/30.63 end
% 30.28/30.63
% 30.28/30.63 subsumption: (61360) {G21,W5,D2,L1,V3,M1} R(61336,52);r(61327) { cong( X, Z
% 30.28/30.63 , Y, Z ) }.
% 30.28/30.63 parent0: (62227) {G2,W5,D2,L1,V3,M1} { cong( X, Z, Y, Z ) }.
% 30.28/30.63 substitution0:
% 30.28/30.63 X := X
% 30.28/30.63 Y := Y
% 30.28/30.63 Z := Z
% 30.28/30.63 end
% 30.28/30.63 permutation0:
% 30.28/30.63 0 ==> 0
% 30.28/30.63 end
% 30.28/30.63
% 30.28/30.63 resolution: (62228) {G1,W10,D2,L2,V4,M2} { ! cong( X, T, Z, T ), perp( X,
% 30.28/30.63 Z, Y, T ) }.
% 30.28/30.63 parent0[0]: (56) {G0,W15,D2,L3,V4,M3} I { ! cong( X, Z, Y, Z ), ! cong( X,
% 30.28/30.63 T, Y, T ), perp( X, Y, Z, T ) }.
% 30.28/30.63 parent1[0]: (61360) {G21,W5,D2,L1,V3,M1} R(61336,52);r(61327) { cong( X, Z
% 30.28/30.63 , Y, Z ) }.
% 30.28/30.63 substitution0:
% 30.28/30.63 X := X
% 30.28/30.63 Y := Z
% 30.28/30.63 Z := Y
% 30.28/30.63 T := T
% 30.28/30.63 end
% 30.28/30.63 substitution1:
% 30.28/30.63 X := X
% 30.28/30.63 Y := Z
% 30.28/30.63 Z := Y
% 30.28/30.63 end
% 30.28/30.63
% 30.28/30.63 resolution: (62230) {G2,W5,D2,L1,V4,M1} { perp( X, Z, T, Y ) }.
% 30.28/30.63 parent0[0]: (62228) {G1,W10,D2,L2,V4,M2} { ! cong( X, T, Z, T ), perp( X,
% 30.28/30.63 Z, Y, T ) }.
% 30.28/30.63 parent1[0]: (61360) {G21,W5,D2,L1,V3,M1} R(61336,52);r(61327) { cong( X, Z
% 30.28/30.63 , Y, Z ) }.
% 30.28/30.63 substitution0:
% 30.28/30.63 X := X
% 30.28/30.63 Y := T
% 30.28/30.63 Z := Z
% 30.28/30.63 T := Y
% 30.28/30.63 end
% 30.28/30.63 substitution1:
% 30.28/30.63 X := X
% 30.28/30.63 Y := Z
% 30.28/30.63 Z := Y
% 30.28/30.63 end
% 30.28/30.63
% 30.28/30.63 subsumption: (61425) {G22,W5,D2,L1,V4,M1} R(61360,56);r(61360) { perp( X, Z
% 30.28/30.63 , T, Y ) }.
% 30.28/30.63 parent0: (62230) {G2,W5,D2,L1,V4,M1} { perp( X, Z, T, Y ) }.
% 30.28/30.63 substitution0:
% 30.28/30.63 X := X
% 30.28/30.63 Y := Y
% 30.28/30.63 Z := Z
% 30.28/30.63 T := T
% 30.28/30.63 end
% 30.28/30.63 permutation0:
% 30.28/30.63 0 ==> 0
% 30.28/30.63 end
% 30.28/30.63
% 30.28/30.63 resolution: (62231) {G2,W10,D2,L2,V6,M2} { ! perp( Z, T, U, W ), para( U,
% 30.28/30.63 W, X, Y ) }.
% 30.28/30.63 parent0[0]: (301) {G1,W15,D2,L3,V6,M3} R(8,4) { ! perp( X, Y, Z, T ), !
% 30.28/30.63 perp( Z, T, U, W ), para( U, W, X, Y ) }.
% 30.28/30.63 parent1[0]: (61425) {G22,W5,D2,L1,V4,M1} R(61360,56);r(61360) { perp( X, Z
% 30.28/30.63 , T, Y ) }.
% 30.28/30.63 substitution0:
% 30.28/30.63 X := X
% 30.28/30.63 Y := Y
% 30.28/30.63 Z := Z
% 30.28/30.63 T := T
% 30.28/30.63 U := U
% 30.28/30.63 W := W
% 30.28/30.63 end
% 30.28/30.63 substitution1:
% 30.28/30.63 X := X
% 30.28/30.63 Y := T
% 30.28/30.63 Z := Y
% 30.28/30.63 T := Z
% 30.28/30.63 end
% 30.28/30.63
% 30.28/30.63 resolution: (62233) {G3,W5,D2,L1,V4,M1} { para( Z, T, U, W ) }.
% 30.28/30.63 parent0[0]: (62231) {G2,W10,D2,L2,V6,M2} { ! perp( Z, T, U, W ), para( U,
% 30.28/30.63 W, X, Y ) }.
% 30.28/30.63 parent1[0]: (61425) {G22,W5,D2,L1,V4,M1} R(61360,56);r(61360) { perp( X, Z
% 30.28/30.63 , T, Y ) }.
% 30.28/30.63 substitution0:
% 30.28/30.63 X := U
% 30.28/30.63 Y := W
% 30.28/30.63 Z := X
% 30.28/30.63 T := Y
% 30.28/30.63 U := Z
% 30.28/30.63 W := T
% 30.28/30.63 end
% 30.28/30.63 substitution1:
% 30.28/30.63 X := X
% 30.28/30.63 Y := T
% 30.28/30.63 Z := Y
% 30.28/30.63 T := Z
% 30.28/30.63 end
% 30.28/30.63
% 30.28/30.63 subsumption: (61454) {G23,W5,D2,L1,V4,M1} R(61425,301);r(61425) { para( Z,
% 30.28/30.63 T, U, W ) }.
% 30.28/30.63 parent0: (62233) {G3,W5,D2,L1,V4,M1} { para( Z, T, U, W ) }.
% 30.28/30.63 substitution0:
% 30.28/30.63 X := V0
% 30.28/30.63 Y := V1
% 30.28/30.63 Z := Z
% 30.28/30.63 T := T
% 30.28/30.63 U := U
% 30.28/30.63 W := W
% 30.28/30.63 end
% 30.28/30.63 permutation0:
% 30.28/30.63 0 ==> 0
% 30.28/30.63 end
% 30.28/30.63
% 30.28/30.63 resolution: (62234) {G2,W9,D2,L1,V6,M1} { eqangle( U, W, X, Y, U, W, Z, T
% 30.28/30.63 ) }.
% 30.28/30.63 parent0[0]: (776) {G1,W14,D2,L2,V6,M2} R(39,18) { ! para( X, Y, Z, T ),
% 30.28/30.63 eqangle( U, W, X, Y, U, W, Z, T ) }.
% 30.28/30.63 parent1[0]: (61454) {G23,W5,D2,L1,V4,M1} R(61425,301);r(61425) { para( Z, T
% 30.28/30.63 , U, W ) }.
% 30.28/30.63 substitution0:
% 30.28/30.63 X := X
% 30.28/30.63 Y := Y
% 30.28/30.63 Z := Z
% 30.28/30.63 T := T
% 30.28/30.63 U := U
% 30.28/30.63 W := W
% 30.28/30.63 end
% 30.28/30.63 substitution1:
% 30.28/30.63 X := V0
% 30.28/30.63 Y := V1
% 30.28/30.63 Z := X
% 30.28/30.63 T := Y
% 30.28/30.63 U := Z
% 30.28/30.63 W := T
% 30.28/30.63 end
% 30.28/30.63
% 30.28/30.63 subsumption: (61463) {G24,W9,D2,L1,V6,M1} R(61454,776) { eqangle( X, Y, Z,
% 30.28/30.63 T, X, Y, U, W ) }.
% 30.28/30.63 parent0: (62234) {G2,W9,D2,L1,V6,M1} { eqangle( U, W, X, Y, U, W, Z, T )
% 30.28/30.63 }.
% 30.28/30.63 substitution0:
% 30.28/30.63 X := Z
% 30.28/30.63 Y := T
% 30.28/30.63 Z := U
% 30.28/30.63 T := W
% 30.28/30.63 U := X
% 30.28/30.63 W := Y
% 30.28/30.63 end
% 30.28/30.63 permutation0:
% 30.28/30.63 0 ==> 0
% 30.28/30.63 end
% 30.28/30.63
% 30.28/30.63 resolution: (62235) {G2,W9,D2,L1,V6,M1} { eqangle( X, Y, Z, T, U, W, U, W
% 30.28/30.63 ) }.
% 30.28/30.63 parent0[0]: (774) {G1,W14,D2,L2,V6,M2} R(39,20) { ! para( X, Y, Z, T ),
% 30.28/30.63 eqangle( X, Y, Z, T, U, W, U, W ) }.
% 30.28/30.63 parent1[0]: (61454) {G23,W5,D2,L1,V4,M1} R(61425,301);r(61425) { para( Z, T
% 30.28/30.63 , U, W ) }.
% 30.28/30.63 substitution0:
% 30.28/30.63 X := X
% 30.28/30.63 Y := Y
% 30.28/30.63 Z := Z
% 30.28/30.63 T := T
% 30.28/30.63 U := U
% 30.28/30.63 W := W
% 30.28/30.63 end
% 30.28/30.63 substitution1:
% 30.28/30.63 X := V0
% 30.28/30.63 Y := V1
% 30.28/30.63 Z := X
% 30.28/30.63 T := Y
% 30.28/30.63 U := Z
% 30.28/30.63 W := T
% 30.28/30.63 end
% 30.28/30.63
% 30.28/30.63 subsumption: (61464) {G24,W9,D2,L1,V6,M1} R(61454,774) { eqangle( X, Y, Z,
% 30.28/30.63 T, U, W, U, W ) }.
% 30.28/30.63 parent0: (62235) {G2,W9,D2,L1,V6,M1} { eqangle( X, Y, Z, T, U, W, U, W )
% 30.28/30.63 }.
% 30.28/30.63 substitution0:
% 30.28/30.63 X := X
% 30.28/30.63 Y := Y
% 30.28/30.63 Z := Z
% 30.28/30.63 T := T
% 30.28/30.63 U := U
% 30.28/30.63 W := W
% 30.28/30.63 end
% 30.28/30.63 permutation0:
% 30.28/30.63 0 ==> 0
% 30.28/30.63 end
% 30.28/30.63
% 30.28/30.63 resolution: (62237) {G2,W18,D2,L2,V10,M2} { ! eqangle( X, Y, Z, T, U, W, U
% 30.28/30.63 , W ), eqangle( X, Y, Z, T, V0, V1, V2, V3 ) }.
% 30.28/30.63 parent0[2]: (520) {G1,W27,D2,L3,V12,M3} R(21,20) { ! eqangle( X, Y, Z, T, U
% 30.28/30.63 , W, V0, V1 ), eqangle( X, Y, Z, T, V2, V3, V4, V5 ), ! eqangle( U, W, V2
% 30.28/30.63 , V3, V0, V1, V4, V5 ) }.
% 30.28/30.63 parent1[0]: (61463) {G24,W9,D2,L1,V6,M1} R(61454,776) { eqangle( X, Y, Z, T
% 30.28/30.63 , X, Y, U, W ) }.
% 30.28/30.63 substitution0:
% 30.28/30.63 X := X
% 30.28/30.63 Y := Y
% 30.28/30.63 Z := Z
% 30.28/30.63 T := T
% 30.28/30.63 U := U
% 30.28/30.63 W := W
% 30.28/30.63 V0 := U
% 30.28/30.63 V1 := W
% 30.28/30.63 V2 := V0
% 30.28/30.63 V3 := V1
% 30.28/30.63 V4 := V2
% 30.28/30.63 V5 := V3
% 30.28/30.63 end
% 30.28/30.63 substitution1:
% 30.28/30.63 X := U
% 30.28/30.63 Y := W
% 30.28/30.63 Z := V0
% 30.28/30.63 T := V1
% 30.28/30.63 U := V2
% 30.28/30.63 W := V3
% 30.28/30.63 end
% 30.28/30.63
% 30.28/30.63 resolution: (62238) {G3,W9,D2,L1,V8,M1} { eqangle( X, Y, Z, T, V0, V1, V2
% 30.28/30.63 , V3 ) }.
% 30.28/30.63 parent0[0]: (62237) {G2,W18,D2,L2,V10,M2} { ! eqangle( X, Y, Z, T, U, W, U
% 30.28/30.63 , W ), eqangle( X, Y, Z, T, V0, V1, V2, V3 ) }.
% 30.28/30.63 parent1[0]: (61464) {G24,W9,D2,L1,V6,M1} R(61454,774) { eqangle( X, Y, Z, T
% 30.28/30.63 , U, W, U, W ) }.
% 30.28/30.63 substitution0:
% 30.28/30.63 X := X
% 30.28/30.63 Y := Y
% 30.28/30.63 Z := Z
% 30.28/30.63 T := T
% 30.28/30.63 U := U
% 30.28/30.63 W := W
% 30.28/30.63 V0 := V0
% 30.28/30.63 V1 := V1
% 30.28/30.63 V2 := V2
% 30.28/30.63 V3 := V3
% 30.28/30.63 end
% 30.28/30.63 substitution1:
% 30.28/30.63 X := X
% 30.28/30.63 Y := Y
% 30.28/30.63 Z := Z
% 30.28/30.63 T := T
% 30.28/30.63 U := U
% 30.28/30.63 W := W
% 30.28/30.63 end
% 30.28/30.63
% 30.28/30.63 subsumption: (61632) {G25,W9,D2,L1,V8,M1} R(61463,520);r(61464) { eqangle(
% 30.28/30.63 X, Y, Z, T, V0, V1, V2, V3 ) }.
% 30.28/30.63 parent0: (62238) {G3,W9,D2,L1,V8,M1} { eqangle( X, Y, Z, T, V0, V1, V2, V3
% 30.28/30.63 ) }.
% 30.28/30.63 substitution0:
% 30.28/30.63 X := X
% 30.28/30.63 Y := Y
% 30.28/30.63 Z := Z
% 30.28/30.63 T := T
% 30.28/30.63 U := V4
% 30.28/30.63 W := V5
% 30.28/30.63 V0 := V0
% 30.28/30.63 V1 := V1
% 30.28/30.63 V2 := V2
% 30.28/30.63 V3 := V3
% 30.28/30.63 end
% 30.28/30.63 permutation0:
% 30.28/30.63 0 ==> 0
% 30.28/30.63 end
% 30.28/30.63
% 30.28/30.63 resolution: (62239) {G1,W0,D0,L0,V0,M0} { }.
% 30.28/30.63 parent0[0]: (127) {G0,W9,D2,L1,V0,M1} I { ! eqangle( skol20, skol23, skol23
% 30.28/30.63 , skol24, skol20, skol22, skol22, skol25 ) }.
% 30.28/30.63 parent1[0]: (61632) {G25,W9,D2,L1,V8,M1} R(61463,520);r(61464) { eqangle( X
% 30.28/30.63 , Y, Z, T, V0, V1, V2, V3 ) }.
% 30.28/30.63 substitution0:
% 30.28/30.63 end
% 30.28/30.63 substitution1:
% 30.28/30.63 X := skol20
% 30.28/30.63 Y := skol23
% 30.28/30.63 Z := skol23
% 30.28/30.63 T := skol24
% 30.28/30.63 U := X
% 30.28/30.63 W := Y
% 30.28/30.63 V0 := skol20
% 30.28/30.63 V1 := skol22
% 30.28/30.63 V2 := skol22
% 30.28/30.63 V3 := skol25
% 30.28/30.63 end
% 30.28/30.63
% 30.28/30.63 subsumption: (61633) {G26,W0,D0,L0,V0,M0} R(61632,127) { }.
% 30.28/30.63 parent0: (62239) {G1,W0,D0,L0,V0,M0} { }.
% 30.28/30.63 substitution0:
% 30.28/30.63 end
% 30.28/30.63 permutation0:
% 30.28/30.63 end
% 30.28/30.63
% 30.28/30.63 Proof check complete!
% 30.28/30.63
% 30.28/30.63 Memory use:
% 30.28/30.63
% 30.28/30.63 space for terms: 822241
% 30.28/30.63 space for clauses: 2670195
% 30.28/30.63
% 30.28/30.63
% 30.28/30.63 clauses generated: 501313
% 30.28/30.63 clauses kept: 61634
% 30.28/30.63 clauses selected: 2865
% 30.28/30.63 clauses deleted: 23319
% 30.28/30.63 clauses inuse deleted: 2656
% 30.28/30.63
% 30.28/30.63 subsentry: 31094821
% 30.28/30.63 literals s-matched: 19017920
% 30.28/30.63 literals matched: 10637410
% 30.28/30.63 full subsumption: 3760121
% 30.28/30.63
% 30.28/30.63 checksum: 1767817029
% 30.28/30.63
% 30.28/30.63
% 30.28/30.63 Bliksem ended
%------------------------------------------------------------------------------