TSTP Solution File: GEO640+1 by Bliksem---1.12
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : GEO640+1 : TPTP v8.1.0. Released v7.5.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n014.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 0s
% DateTime : Sat Jul 16 02:55:17 EDT 2022
% Result : Theorem 7.19s 7.57s
% Output : Refutation 7.19s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : GEO640+1 : TPTP v8.1.0. Released v7.5.0.
% 0.07/0.13 % Command : bliksem %s
% 0.13/0.34 % Computer : n014.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % DateTime : Fri Jun 17 19:32:49 EDT 2022
% 0.13/0.34 % CPUTime :
% 1.04/1.40 *** allocated 10000 integers for termspace/termends
% 1.04/1.40 *** allocated 10000 integers for clauses
% 1.04/1.40 *** allocated 10000 integers for justifications
% 1.04/1.40 Bliksem 1.12
% 1.04/1.40
% 1.04/1.40
% 1.04/1.40 Automatic Strategy Selection
% 1.04/1.40
% 1.04/1.40 *** allocated 15000 integers for termspace/termends
% 1.04/1.40
% 1.04/1.40 Clauses:
% 1.04/1.40
% 1.04/1.40 { ! coll( X, Y, Z ), coll( X, Z, Y ) }.
% 1.04/1.40 { ! coll( X, Y, Z ), coll( Y, X, Z ) }.
% 1.04/1.40 { ! coll( X, T, Y ), ! coll( X, T, Z ), coll( Y, Z, X ) }.
% 1.04/1.40 { ! para( X, Y, Z, T ), para( X, Y, T, Z ) }.
% 1.04/1.40 { ! para( X, Y, Z, T ), para( Z, T, X, Y ) }.
% 1.04/1.40 { ! para( X, Y, U, W ), ! para( U, W, Z, T ), para( X, Y, Z, T ) }.
% 1.04/1.40 { ! perp( X, Y, Z, T ), perp( X, Y, T, Z ) }.
% 1.04/1.40 { ! perp( X, Y, Z, T ), perp( Z, T, X, Y ) }.
% 1.04/1.40 { ! perp( X, Y, U, W ), ! perp( U, W, Z, T ), para( X, Y, Z, T ) }.
% 1.04/1.40 { ! para( X, Y, U, W ), ! perp( U, W, Z, T ), perp( X, Y, Z, T ) }.
% 1.04/1.40 { ! midp( Z, Y, X ), midp( Z, X, Y ) }.
% 1.04/1.40 { ! cong( T, X, T, Y ), ! cong( T, X, T, Z ), circle( T, X, Y, Z ) }.
% 1.04/1.40 { ! cong( U, X, U, Y ), ! cong( U, X, U, Z ), ! cong( U, X, U, T ), cyclic
% 1.04/1.40 ( X, Y, Z, T ) }.
% 1.04/1.40 { ! cyclic( X, Y, Z, T ), cyclic( X, Y, T, Z ) }.
% 1.04/1.40 { ! cyclic( X, Y, Z, T ), cyclic( X, Z, Y, T ) }.
% 1.04/1.40 { ! cyclic( X, Y, Z, T ), cyclic( Y, X, Z, T ) }.
% 1.04/1.40 { ! cyclic( U, X, Y, Z ), ! cyclic( U, X, Y, T ), cyclic( X, Y, Z, T ) }.
% 1.04/1.40 { ! eqangle( X, Y, Z, T, U, W, V0, V1 ), eqangle( Y, X, Z, T, U, W, V0, V1
% 1.04/1.40 ) }.
% 1.04/1.40 { ! eqangle( X, Y, Z, T, U, W, V0, V1 ), eqangle( Z, T, X, Y, V0, V1, U, W
% 1.04/1.40 ) }.
% 1.04/1.40 { ! eqangle( X, Y, Z, T, U, W, V0, V1 ), eqangle( U, W, V0, V1, X, Y, Z, T
% 1.04/1.40 ) }.
% 1.04/1.40 { ! eqangle( X, Y, Z, T, U, W, V0, V1 ), eqangle( X, Y, U, W, Z, T, V0, V1
% 1.04/1.40 ) }.
% 1.04/1.40 { ! eqangle( X, Y, Z, T, V2, V3, V4, V5 ), ! eqangle( V2, V3, V4, V5, U, W
% 1.04/1.40 , V0, V1 ), eqangle( X, Y, Z, T, U, W, V0, V1 ) }.
% 1.04/1.40 { ! cong( X, Y, Z, T ), cong( X, Y, T, Z ) }.
% 1.04/1.40 { ! cong( X, Y, Z, T ), cong( Z, T, X, Y ) }.
% 1.04/1.40 { ! cong( X, Y, U, W ), ! cong( U, W, Z, T ), cong( X, Y, Z, T ) }.
% 1.04/1.40 { ! eqratio( X, Y, Z, T, U, W, V0, V1 ), eqratio( Y, X, Z, T, U, W, V0, V1
% 1.04/1.40 ) }.
% 1.04/1.40 { ! eqratio( X, Y, Z, T, U, W, V0, V1 ), eqratio( Z, T, X, Y, V0, V1, U, W
% 1.04/1.40 ) }.
% 1.04/1.40 { ! eqratio( X, Y, Z, T, U, W, V0, V1 ), eqratio( U, W, V0, V1, X, Y, Z, T
% 1.04/1.40 ) }.
% 1.04/1.40 { ! eqratio( X, Y, Z, T, U, W, V0, V1 ), eqratio( X, Y, U, W, Z, T, V0, V1
% 1.04/1.40 ) }.
% 1.04/1.40 { ! eqratio( X, Y, Z, T, V2, V3, V4, V5 ), ! eqratio( V2, V3, V4, V5, U, W
% 1.04/1.40 , V0, V1 ), eqratio( X, Y, Z, T, U, W, V0, V1 ) }.
% 1.04/1.40 { ! simtri( X, Z, Y, T, W, U ), simtri( X, Y, Z, T, U, W ) }.
% 1.04/1.40 { ! simtri( Y, X, Z, U, T, W ), simtri( X, Y, Z, T, U, W ) }.
% 1.04/1.40 { ! simtri( T, U, W, X, Y, Z ), simtri( X, Y, Z, T, U, W ) }.
% 1.04/1.40 { ! simtri( X, Y, Z, V0, V1, V2 ), ! simtri( V0, V1, V2, T, U, W ), simtri
% 1.04/1.40 ( X, Y, Z, T, U, W ) }.
% 1.04/1.40 { ! contri( X, Z, Y, T, W, U ), contri( X, Y, Z, T, U, W ) }.
% 1.04/1.40 { ! contri( Y, X, Z, U, T, W ), contri( X, Y, Z, T, U, W ) }.
% 1.04/1.40 { ! contri( T, U, W, X, Y, Z ), contri( X, Y, Z, T, U, W ) }.
% 1.04/1.40 { ! contri( X, Y, Z, V0, V1, V2 ), ! contri( V0, V1, V2, T, U, W ), contri
% 1.04/1.40 ( X, Y, Z, T, U, W ) }.
% 1.04/1.40 { ! eqangle( X, Y, U, W, Z, T, U, W ), para( X, Y, Z, T ) }.
% 1.04/1.40 { ! para( X, Y, Z, T ), eqangle( X, Y, U, W, Z, T, U, W ) }.
% 1.04/1.40 { ! cyclic( X, Y, Z, T ), eqangle( Z, X, Z, Y, T, X, T, Y ) }.
% 1.04/1.40 { ! eqangle( Z, X, Z, Y, T, X, T, Y ), coll( Z, T, X ), cyclic( X, Y, Z, T
% 1.04/1.40 ) }.
% 1.04/1.40 { ! eqangle( Z, X, Z, Y, T, X, T, Y ), ! coll( Z, T, Y ), cyclic( X, Y, Z,
% 1.04/1.40 T ) }.
% 1.04/1.40 { ! cyclic( X, Y, U, Z ), ! cyclic( X, Y, U, T ), ! cyclic( X, Y, U, W ), !
% 1.04/1.40 eqangle( U, X, U, Y, W, Z, W, T ), cong( X, Y, Z, T ) }.
% 1.04/1.40 { ! midp( Z, U, X ), ! midp( T, U, Y ), para( Z, T, X, Y ) }.
% 1.04/1.40 { ! midp( U, X, T ), ! para( U, Z, T, Y ), ! coll( Z, X, Y ), midp( Z, X, Y
% 1.04/1.40 ) }.
% 1.04/1.40 { ! cong( Z, X, Z, Y ), eqangle( Z, X, X, Y, X, Y, Z, Y ) }.
% 1.04/1.40 { ! eqangle( Z, X, X, Y, X, Y, Z, Y ), coll( Z, X, Y ), cong( Z, X, Z, Y )
% 1.04/1.40 }.
% 1.04/1.40 { ! circle( U, X, Y, Z ), ! perp( U, X, X, T ), eqangle( X, T, X, Y, Z, X,
% 1.04/1.40 Z, Y ) }.
% 1.04/1.40 { ! circle( Y, X, T, U ), ! eqangle( X, Z, X, T, U, X, U, T ), perp( Y, X,
% 1.04/1.40 X, Z ) }.
% 1.04/1.40 { ! circle( T, X, Y, Z ), ! midp( U, Y, Z ), eqangle( X, Y, X, Z, T, Y, T,
% 1.04/1.40 U ) }.
% 1.04/1.40 { ! circle( U, T, X, Y ), ! coll( Z, X, Y ), ! eqangle( T, X, T, Y, U, X, U
% 1.04/1.40 , Z ), midp( Z, X, Y ) }.
% 1.04/1.40 { ! perp( X, Y, Y, T ), ! midp( Z, X, T ), cong( X, Z, Y, Z ) }.
% 1.04/1.40 { ! circle( T, X, Y, Z ), ! coll( T, X, Z ), perp( X, Y, Y, Z ) }.
% 1.04/1.40 { ! cyclic( X, Y, Z, T ), ! para( X, Y, Z, T ), eqangle( X, T, Z, T, Z, T,
% 1.04/1.40 Z, Y ) }.
% 1.04/1.40 { ! midp( T, X, Y ), ! perp( Z, T, X, Y ), cong( Z, X, Z, Y ) }.
% 1.04/1.40 { ! cong( X, Z, Y, Z ), ! cong( X, T, Y, T ), perp( X, Y, Z, T ) }.
% 1.04/1.40 { ! cong( X, Y, T, Y ), ! cong( X, Z, T, Z ), ! cyclic( X, T, Y, Z ), perp
% 1.04/1.40 ( Y, X, X, Z ) }.
% 1.04/1.40 { ! eqangle( X, Y, Y, Z, T, U, U, W ), ! eqangle( X, Z, Y, Z, T, W, U, W )
% 1.04/1.40 , coll( X, Y, Z ), simtri( X, Y, Z, T, U, W ) }.
% 1.04/1.40 { ! simtri( X, Y, Z, T, U, W ), eqratio( X, Y, X, Z, T, U, T, W ) }.
% 1.04/1.40 { ! simtri( X, Y, Z, T, U, W ), eqangle( X, Y, Y, Z, T, U, U, W ) }.
% 1.04/1.40 { ! simtri( X, Y, Z, T, U, W ), ! cong( X, Y, T, U ), contri( X, Y, Z, T, U
% 1.04/1.40 , W ) }.
% 1.04/1.40 { ! contri( X, Y, U, Z, T, W ), cong( X, Y, Z, T ) }.
% 1.04/1.40 { ! midp( U, X, Y ), ! midp( U, Z, T ), para( X, Z, Y, T ) }.
% 1.04/1.40 { ! midp( Z, T, U ), ! para( T, X, U, Y ), ! para( T, Y, U, X ), midp( Z, X
% 1.04/1.40 , Y ) }.
% 1.04/1.40 { ! para( X, Y, Z, T ), ! coll( U, X, Z ), ! coll( U, Y, T ), eqratio( U, X
% 1.04/1.40 , X, Z, U, Y, Y, T ) }.
% 1.04/1.40 { ! para( X, Y, X, Z ), coll( X, Y, Z ) }.
% 1.04/1.40 { ! cong( X, Y, X, Z ), ! coll( X, Y, Z ), midp( X, Y, Z ) }.
% 1.04/1.40 { ! midp( X, Y, Z ), cong( X, Y, X, Z ) }.
% 1.04/1.40 { ! midp( X, Y, Z ), coll( X, Y, Z ) }.
% 1.04/1.40 { ! midp( U, X, Y ), ! midp( W, Z, T ), eqratio( U, X, X, Y, W, Z, Z, T ) }
% 1.04/1.40 .
% 1.04/1.40 { ! eqangle( X, Y, Z, T, Z, T, X, Y ), para( X, Y, Z, T ), perp( X, Y, Z, T
% 1.04/1.40 ) }.
% 1.04/1.40 { ! eqangle( X, Y, Z, T, Z, T, X, Y ), perp( X, Y, Z, T ), para( X, Y, Z, T
% 1.04/1.40 ) }.
% 1.04/1.40 { ! eqangle( X, Y, Z, T, U, W, V0, V1 ), ! para( U, W, V0, V1 ), para( X, Y
% 1.04/1.40 , Z, T ) }.
% 1.04/1.40 { ! eqangle( X, Y, Z, T, U, W, V0, V1 ), ! perp( U, W, V0, V1 ), perp( X, Y
% 1.04/1.40 , Z, T ) }.
% 1.04/1.40 { ! eqratio( X, Y, Z, T, U, W, V0, V1 ), ! cong( U, W, V0, V1 ), cong( X, Y
% 1.04/1.40 , Z, T ) }.
% 1.04/1.40 { ! perp( Z, Y, Y, X ), ! eqangle( T, Z, Y, Z, Y, Z, X, Z ), coll( skol1( U
% 1.04/1.40 , W, Z, T ), Z, T ) }.
% 1.04/1.40 { ! perp( Z, Y, Y, X ), ! eqangle( T, Z, Y, Z, Y, Z, X, Z ), coll( skol1( X
% 1.04/1.40 , Y, Z, T ), X, Y ) }.
% 1.04/1.40 { ! cong( Z, X, Z, Y ), ! eqangle( X, Z, Z, T, Z, T, Z, Y ), coll( skol2( U
% 1.04/1.40 , W, Z, T ), Z, T ) }.
% 1.04/1.40 { ! cong( Z, X, Z, Y ), ! eqangle( X, Z, Z, T, Z, T, Z, Y ), coll( Y, X,
% 1.04/1.40 skol2( X, Y, Z, T ) ) }.
% 1.04/1.40 { ! perp( Z, T, X, Y ), ! eqangle( X, Z, Z, T, Z, T, Z, Y ), coll( skol3( U
% 1.04/1.40 , W, Z, T ), Z, T ) }.
% 1.04/1.40 { ! perp( Z, T, X, Y ), ! eqangle( X, Z, Z, T, Z, T, Z, Y ), coll( Y, X,
% 1.04/1.40 skol3( X, Y, Z, T ) ) }.
% 1.04/1.40 { ! perp( Z, T, X, Y ), ! cong( Z, X, Z, Y ), coll( skol4( U, W, Z, T ), Z
% 1.04/1.40 , T ) }.
% 1.04/1.40 { ! perp( Z, T, X, Y ), ! cong( Z, X, Z, Y ), coll( Y, X, skol4( X, Y, Z, T
% 1.04/1.40 ) ) }.
% 1.04/1.40 { ! eqangle( X, Z, Y, Z, X, T, Y, U ), coll( X, Y, Z ), cyclic( T, Y, Z,
% 1.04/1.40 skol5( W, Y, Z, T ) ) }.
% 1.04/1.40 { ! eqangle( X, Z, Y, Z, X, T, Y, U ), coll( X, Y, Z ), eqangle( X, Z, Y, Z
% 1.04/1.40 , X, skol5( X, Y, Z, T ), Y, skol5( X, Y, Z, T ) ) }.
% 1.04/1.40 { ! midp( U, X, Y ), ! midp( W, Z, T ), midp( skol6( X, V0, V1, T, V2, V3 )
% 1.04/1.40 , X, T ) }.
% 1.04/1.40 { ! midp( U, X, Y ), ! midp( W, Z, T ), para( skol6( X, V0, Z, T, V1, W ),
% 1.04/1.40 W, X, Z ) }.
% 1.04/1.40 { ! midp( U, X, Y ), ! midp( W, Z, T ), para( skol6( X, Y, Z, T, U, W ), U
% 1.04/1.40 , Y, T ) }.
% 1.04/1.40 { ! midp( Z, X, Y ), ! midp( W, T, U ), ! coll( T, X, Y ), ! coll( U, X, Y
% 1.04/1.40 ), midp( skol7( X, V0 ), X, V0 ) }.
% 1.04/1.40 { ! midp( T, X, U ), ! para( X, W, Z, T ), ! para( X, W, U, Y ), ! coll( W
% 1.04/1.40 , Y, Z ), coll( skol8( V0, V1, Z, T ), T, Z ) }.
% 1.04/1.40 { ! midp( T, X, U ), ! para( X, W, Z, T ), ! para( X, W, U, Y ), ! coll( W
% 1.04/1.40 , Y, Z ), coll( skol8( X, Y, Z, T ), X, Y ) }.
% 1.04/1.40 { ! cong( T, Z, T, U ), ! perp( X, Y, Y, T ), cong( T, Z, T, skol9( W, V0,
% 1.04/1.40 Z, T ) ) }.
% 1.04/1.40 { ! cong( T, Z, T, U ), ! perp( X, Y, Y, T ), cong( Y, Z, Y, skol9( W, Y, Z
% 1.04/1.40 , T ) ) }.
% 1.04/1.40 { ! cong( T, Z, T, U ), ! perp( X, Y, Y, T ), para( skol9( X, Y, Z, T ), Z
% 1.04/1.40 , X, Y ) }.
% 1.04/1.40 { ! perp( X, T, Y, Z ), ! perp( Y, T, X, Z ), coll( skol10( U, Y, Z ), Z, Y
% 1.04/1.40 ) }.
% 1.04/1.40 { ! perp( X, T, Y, Z ), ! perp( Y, T, X, Z ), perp( X, skol10( X, Y, Z ), Z
% 1.04/1.40 , Y ) }.
% 1.04/1.40 { ! perp( X, T, Y, Z ), ! perp( Y, T, X, Z ), alpha1( X, Y, Z ) }.
% 1.04/1.40 { ! alpha1( X, Y, Z ), coll( skol11( X, T, Z ), Z, X ) }.
% 1.04/1.40 { ! alpha1( X, Y, Z ), perp( Y, skol11( X, Y, Z ), Z, X ) }.
% 1.04/1.40 { ! coll( T, Z, X ), ! perp( Y, T, Z, X ), alpha1( X, Y, Z ) }.
% 1.04/1.40 { ! circle( Y, X, Z, T ), perp( skol12( X, Y ), X, X, Y ) }.
% 1.27/1.65 { ! circle( W, X, Y, Z ), ! cong( W, X, W, T ), ! cong( U, X, U, Y ), W = U
% 1.27/1.65 , alpha2( X, Z, U, skol13( X, V0, Z, V1, U ) ) }.
% 1.27/1.65 { ! circle( W, X, Y, Z ), ! cong( W, X, W, T ), ! cong( U, X, U, Y ), W = U
% 1.27/1.65 , coll( skol21( V0, Y, T, V1 ), Y, T ) }.
% 1.27/1.65 { ! circle( W, X, Y, Z ), ! cong( W, X, W, T ), ! cong( U, X, U, Y ), W = U
% 1.27/1.65 , cong( skol21( X, Y, T, U ), U, U, X ) }.
% 1.27/1.65 { ! alpha2( X, Y, Z, T ), coll( T, X, Y ) }.
% 1.27/1.65 { ! alpha2( X, Y, Z, T ), cong( T, Z, Z, X ) }.
% 1.27/1.65 { ! coll( T, X, Y ), ! cong( T, Z, Z, X ), alpha2( X, Y, Z, T ) }.
% 1.27/1.65 { ! cyclic( X, Y, Z, T ), ! para( X, Y, Z, T ), ! midp( U, X, Y ), circle(
% 1.27/1.65 skol14( X, Y, Z ), X, Y, Z ) }.
% 1.27/1.65 { ! perp( X, Z, Z, Y ), ! cyclic( X, Y, Z, T ), circle( skol15( X, Y, Z ),
% 1.27/1.65 X, Y, Z ) }.
% 1.27/1.65 { ! perp( X, U, U, T ), ! coll( T, Y, Z ), coll( skol16( W, Y, Z ), Y, Z )
% 1.27/1.65 }.
% 1.27/1.65 { ! perp( X, U, U, T ), ! coll( T, Y, Z ), perp( skol16( X, Y, Z ), X, Y, Z
% 1.27/1.65 ) }.
% 1.27/1.65 { ! perp( X, Z, X, Y ), ! perp( Y, X, Y, T ), ! midp( U, Z, T ), midp(
% 1.27/1.65 skol17( X, Y ), X, Y ) }.
% 1.27/1.65 { ! cong( Y, X, Y, Z ), ! perp( X, Y, Y, Z ), coll( X, Y, skol18( X, Y ) )
% 1.27/1.65 }.
% 1.27/1.65 { ! cong( Y, X, Y, Z ), ! perp( X, Y, Y, Z ), cong( Y, X, Y, skol18( X, Y )
% 1.27/1.65 ) }.
% 1.27/1.65 { ! para( U, W, X, Y ), ! coll( Z, U, X ), ! coll( Z, W, Y ), ! coll( T, U
% 1.27/1.65 , W ), coll( Z, T, skol19( V0, V1, Z, T ) ) }.
% 1.27/1.65 { ! para( U, W, X, Y ), ! coll( Z, U, X ), ! coll( Z, W, Y ), ! coll( T, U
% 1.27/1.65 , W ), coll( skol19( X, Y, Z, T ), X, Y ) }.
% 1.27/1.65 { coll( skol27, skol25, skol26 ) }.
% 1.27/1.65 { coll( skol27, skol28, skol29 ) }.
% 1.27/1.65 { coll( skol31, skol26, skol30 ) }.
% 1.27/1.65 { coll( skol31, skol28, skol29 ) }.
% 1.27/1.65 { coll( skol32, skol26, skol30 ) }.
% 1.27/1.65 { coll( skol32, skol25, skol29 ) }.
% 1.27/1.65 { coll( skol33, skol30, skol28 ) }.
% 1.27/1.65 { coll( skol33, skol25, skol29 ) }.
% 1.27/1.65 { coll( skol34, skol25, skol26 ) }.
% 1.27/1.65 { coll( skol34, skol30, skol28 ) }.
% 1.27/1.65 { circle( skol35, skol28, skol27, skol34 ) }.
% 1.27/1.65 { circle( skol36, skol34, skol33, skol25 ) }.
% 1.27/1.65 { circle( skol37, skol33, skol32, skol30 ) }.
% 1.27/1.65 { circle( skol38, skol31, skol32, skol29 ) }.
% 1.27/1.65 { circle( skol39, skol31, skol26, skol27 ) }.
% 1.27/1.65 { circle( skol35, skol28, skol40, skol41 ) }.
% 1.27/1.65 { circle( skol39, skol26, skol40, skol42 ) }.
% 1.27/1.65 { circle( skol35, skol28, skol20, skol43 ) }.
% 1.27/1.65 { circle( skol36, skol25, skol20, skol44 ) }.
% 1.27/1.65 { circle( skol36, skol25, skol22, skol45 ) }.
% 1.27/1.65 { circle( skol37, skol30, skol22, skol46 ) }.
% 1.27/1.65 { circle( skol37, skol30, skol23, skol47 ) }.
% 1.27/1.65 { circle( skol38, skol29, skol23, skol48 ) }.
% 1.27/1.65 { circle( skol38, skol29, skol24, skol49 ) }.
% 1.27/1.65 { circle( skol39, skol26, skol24, skol50 ) }.
% 1.27/1.65 { ! cyclic( skol20, skol22, skol23, skol24 ) }.
% 1.27/1.65
% 1.27/1.65 percentage equality = 0.008333, percentage horn = 0.936620
% 1.27/1.65 This is a problem with some equality
% 1.27/1.65
% 1.27/1.65
% 1.27/1.65
% 1.27/1.65 Options Used:
% 1.27/1.65
% 1.27/1.65 useres = 1
% 1.27/1.65 useparamod = 1
% 1.27/1.65 useeqrefl = 1
% 1.27/1.65 useeqfact = 1
% 1.27/1.65 usefactor = 1
% 1.27/1.65 usesimpsplitting = 0
% 1.27/1.65 usesimpdemod = 5
% 1.27/1.65 usesimpres = 3
% 1.27/1.65
% 1.27/1.65 resimpinuse = 1000
% 1.27/1.65 resimpclauses = 20000
% 1.27/1.65 substype = eqrewr
% 1.27/1.65 backwardsubs = 1
% 1.27/1.65 selectoldest = 5
% 1.27/1.65
% 1.27/1.65 litorderings [0] = split
% 1.27/1.65 litorderings [1] = extend the termordering, first sorting on arguments
% 1.27/1.65
% 1.27/1.65 termordering = kbo
% 1.27/1.65
% 1.27/1.65 litapriori = 0
% 1.27/1.65 termapriori = 1
% 1.27/1.65 litaposteriori = 0
% 1.27/1.65 termaposteriori = 0
% 1.27/1.65 demodaposteriori = 0
% 1.27/1.65 ordereqreflfact = 0
% 1.27/1.65
% 1.27/1.65 litselect = negord
% 1.27/1.65
% 1.27/1.65 maxweight = 15
% 1.27/1.65 maxdepth = 30000
% 1.27/1.65 maxlength = 115
% 1.27/1.65 maxnrvars = 195
% 1.27/1.65 excuselevel = 1
% 1.27/1.65 increasemaxweight = 1
% 1.27/1.65
% 1.27/1.65 maxselected = 10000000
% 1.27/1.65 maxnrclauses = 10000000
% 1.27/1.65
% 1.27/1.65 showgenerated = 0
% 1.27/1.65 showkept = 0
% 1.27/1.65 showselected = 0
% 1.27/1.65 showdeleted = 0
% 1.27/1.65 showresimp = 1
% 1.27/1.65 showstatus = 2000
% 1.27/1.65
% 1.27/1.65 prologoutput = 0
% 1.27/1.65 nrgoals = 5000000
% 1.27/1.65 totalproof = 1
% 1.27/1.65
% 1.27/1.65 Symbols occurring in the translation:
% 1.27/1.65
% 1.27/1.65 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 1.27/1.65 . [1, 2] (w:1, o:89, a:1, s:1, b:0),
% 1.27/1.65 ! [4, 1] (w:0, o:84, a:1, s:1, b:0),
% 1.27/1.65 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 1.27/1.65 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 1.27/1.65 coll [38, 3] (w:1, o:117, a:1, s:1, b:0),
% 1.27/1.65 para [40, 4] (w:1, o:125, a:1, s:1, b:0),
% 1.27/1.65 perp [43, 4] (w:1, o:126, a:1, s:1, b:0),
% 1.27/1.65 midp [45, 3] (w:1, o:118, a:1, s:1, b:0),
% 1.27/1.65 cong [47, 4] (w:1, o:127, a:1, s:1, b:0),
% 7.19/7.56 circle [48, 4] (w:1, o:128, a:1, s:1, b:0),
% 7.19/7.56 cyclic [49, 4] (w:1, o:129, a:1, s:1, b:0),
% 7.19/7.56 eqangle [54, 8] (w:1, o:144, a:1, s:1, b:0),
% 7.19/7.56 eqratio [57, 8] (w:1, o:145, a:1, s:1, b:0),
% 7.19/7.56 simtri [59, 6] (w:1, o:141, a:1, s:1, b:0),
% 7.19/7.56 contri [60, 6] (w:1, o:142, a:1, s:1, b:0),
% 7.19/7.56 alpha1 [94, 3] (w:1, o:119, a:1, s:1, b:1),
% 7.19/7.56 alpha2 [95, 4] (w:1, o:130, a:1, s:1, b:1),
% 7.19/7.56 skol1 [96, 4] (w:1, o:131, a:1, s:1, b:1),
% 7.19/7.56 skol2 [97, 4] (w:1, o:133, a:1, s:1, b:1),
% 7.19/7.56 skol3 [98, 4] (w:1, o:135, a:1, s:1, b:1),
% 7.19/7.56 skol4 [99, 4] (w:1, o:136, a:1, s:1, b:1),
% 7.19/7.56 skol5 [100, 4] (w:1, o:137, a:1, s:1, b:1),
% 7.19/7.56 skol6 [101, 6] (w:1, o:143, a:1, s:1, b:1),
% 7.19/7.56 skol7 [102, 2] (w:1, o:113, a:1, s:1, b:1),
% 7.19/7.56 skol8 [103, 4] (w:1, o:138, a:1, s:1, b:1),
% 7.19/7.56 skol9 [104, 4] (w:1, o:139, a:1, s:1, b:1),
% 7.19/7.56 skol10 [105, 3] (w:1, o:120, a:1, s:1, b:1),
% 7.19/7.56 skol11 [106, 3] (w:1, o:121, a:1, s:1, b:1),
% 7.19/7.56 skol12 [107, 2] (w:1, o:114, a:1, s:1, b:1),
% 7.19/7.56 skol13 [108, 5] (w:1, o:140, a:1, s:1, b:1),
% 7.19/7.56 skol14 [109, 3] (w:1, o:122, a:1, s:1, b:1),
% 7.19/7.56 skol15 [110, 3] (w:1, o:123, a:1, s:1, b:1),
% 7.19/7.56 skol16 [111, 3] (w:1, o:124, a:1, s:1, b:1),
% 7.19/7.56 skol17 [112, 2] (w:1, o:115, a:1, s:1, b:1),
% 7.19/7.56 skol18 [113, 2] (w:1, o:116, a:1, s:1, b:1),
% 7.19/7.56 skol19 [114, 4] (w:1, o:132, a:1, s:1, b:1),
% 7.19/7.56 skol20 [115, 0] (w:1, o:54, a:1, s:1, b:1),
% 7.19/7.56 skol21 [116, 4] (w:1, o:134, a:1, s:1, b:1),
% 7.19/7.56 skol22 [117, 0] (w:1, o:55, a:1, s:1, b:1),
% 7.19/7.56 skol23 [118, 0] (w:1, o:56, a:1, s:1, b:1),
% 7.19/7.56 skol24 [119, 0] (w:1, o:57, a:1, s:1, b:1),
% 7.19/7.56 skol25 [120, 0] (w:1, o:58, a:1, s:1, b:1),
% 7.19/7.56 skol26 [121, 0] (w:1, o:59, a:1, s:1, b:1),
% 7.19/7.56 skol27 [122, 0] (w:1, o:60, a:1, s:1, b:1),
% 7.19/7.56 skol28 [123, 0] (w:1, o:61, a:1, s:1, b:1),
% 7.19/7.56 skol29 [124, 0] (w:1, o:62, a:1, s:1, b:1),
% 7.19/7.56 skol30 [125, 0] (w:1, o:63, a:1, s:1, b:1),
% 7.19/7.56 skol31 [126, 0] (w:1, o:64, a:1, s:1, b:1),
% 7.19/7.56 skol32 [127, 0] (w:1, o:65, a:1, s:1, b:1),
% 7.19/7.57 skol33 [128, 0] (w:1, o:66, a:1, s:1, b:1),
% 7.19/7.57 skol34 [129, 0] (w:1, o:67, a:1, s:1, b:1),
% 7.19/7.57 skol35 [130, 0] (w:1, o:68, a:1, s:1, b:1),
% 7.19/7.57 skol36 [131, 0] (w:1, o:69, a:1, s:1, b:1),
% 7.19/7.57 skol37 [132, 0] (w:1, o:70, a:1, s:1, b:1),
% 7.19/7.57 skol38 [133, 0] (w:1, o:71, a:1, s:1, b:1),
% 7.19/7.57 skol39 [134, 0] (w:1, o:72, a:1, s:1, b:1),
% 7.19/7.57 skol40 [135, 0] (w:1, o:73, a:1, s:1, b:1),
% 7.19/7.57 skol41 [136, 0] (w:1, o:74, a:1, s:1, b:1),
% 7.19/7.57 skol42 [137, 0] (w:1, o:75, a:1, s:1, b:1),
% 7.19/7.57 skol43 [138, 0] (w:1, o:76, a:1, s:1, b:1),
% 7.19/7.57 skol44 [139, 0] (w:1, o:77, a:1, s:1, b:1),
% 7.19/7.57 skol45 [140, 0] (w:1, o:78, a:1, s:1, b:1),
% 7.19/7.57 skol46 [141, 0] (w:1, o:79, a:1, s:1, b:1),
% 7.19/7.57 skol47 [142, 0] (w:1, o:80, a:1, s:1, b:1),
% 7.19/7.57 skol48 [143, 0] (w:1, o:81, a:1, s:1, b:1),
% 7.19/7.57 skol49 [144, 0] (w:1, o:82, a:1, s:1, b:1),
% 7.19/7.57 skol50 [145, 0] (w:1, o:83, a:1, s:1, b:1).
% 7.19/7.57
% 7.19/7.57
% 7.19/7.57 Starting Search:
% 7.19/7.57
% 7.19/7.57 *** allocated 15000 integers for clauses
% 7.19/7.57 *** allocated 22500 integers for clauses
% 7.19/7.57 *** allocated 33750 integers for clauses
% 7.19/7.57 *** allocated 50625 integers for clauses
% 7.19/7.57 *** allocated 22500 integers for termspace/termends
% 7.19/7.57 *** allocated 75937 integers for clauses
% 7.19/7.57 Resimplifying inuse:
% 7.19/7.57 Done
% 7.19/7.57
% 7.19/7.57 *** allocated 33750 integers for termspace/termends
% 7.19/7.57 *** allocated 113905 integers for clauses
% 7.19/7.57 *** allocated 50625 integers for termspace/termends
% 7.19/7.57
% 7.19/7.57 Intermediate Status:
% 7.19/7.57 Generated: 3354
% 7.19/7.57 Kept: 2007
% 7.19/7.57 Inuse: 296
% 7.19/7.57 Deleted: 0
% 7.19/7.57 Deletedinuse: 0
% 7.19/7.57
% 7.19/7.57 Resimplifying inuse:
% 7.19/7.57 Done
% 7.19/7.57
% 7.19/7.57 *** allocated 170857 integers for clauses
% 7.19/7.57 *** allocated 75937 integers for termspace/termends
% 7.19/7.57 Resimplifying inuse:
% 7.19/7.57 Done
% 7.19/7.57
% 7.19/7.57 *** allocated 256285 integers for clauses
% 7.19/7.57 *** allocated 113905 integers for termspace/termends
% 7.19/7.57
% 7.19/7.57 Intermediate Status:
% 7.19/7.57 Generated: 17674
% 7.19/7.57 Kept: 4016
% 7.19/7.57 Inuse: 457
% 7.19/7.57 Deleted: 3
% 7.19/7.57 Deletedinuse: 1
% 7.19/7.57
% 7.19/7.57 Resimplifying inuse:
% 7.19/7.57 Done
% 7.19/7.57
% 7.19/7.57 *** allocated 384427 integers for clauses
% 7.19/7.57 Resimplifying inuse:
% 7.19/7.57 Done
% 7.19/7.57
% 7.19/7.57 *** allocated 170857 integers for termspace/termends
% 7.19/7.57
% 7.19/7.57 Intermediate Status:
% 7.19/7.57 Generated: 30078
% 7.19/7.57 Kept: 6403
% 7.19/7.57 Inuse: 534
% 7.19/7.57 Deleted: 3
% 7.19/7.57 Deletedinuse: 1
% 7.19/7.57
% 7.19/7.57 Resimplifying inuse:
% 7.19/7.57 Done
% 7.19/7.57
% 7.19/7.57 Resimplifying inuse:
% 7.19/7.57 Done
% 7.19/7.57
% 7.19/7.57 *** allocated 576640 integers for clauses
% 7.19/7.57 *** allocated 256285 integers for termspace/termends
% 7.19/7.57
% 7.19/7.57 Intermediate Status:
% 7.19/7.57 Generated: 43223
% 7.19/7.57 Kept: 8638
% 7.19/7.57 Inuse: 663
% 7.19/7.57 Deleted: 4
% 7.19/7.57 Deletedinuse: 1
% 7.19/7.57
% 7.19/7.57 Resimplifying inuse:
% 7.19/7.57 Done
% 7.19/7.57
% 7.19/7.57 Resimplifying inuse:
% 7.19/7.57 Done
% 7.19/7.57
% 7.19/7.57
% 7.19/7.57 Intermediate Status:
% 7.19/7.57 Generated: 60895
% 7.19/7.57 Kept: 10894
% 7.19/7.57 Inuse: 767
% 7.19/7.57 Deleted: 6
% 7.19/7.57 Deletedinuse: 2
% 7.19/7.57
% 7.19/7.57 Resimplifying inuse:
% 7.19/7.57 Done
% 7.19/7.57
% 7.19/7.57 *** allocated 864960 integers for clauses
% 7.19/7.57 Resimplifying inuse:
% 7.19/7.57 Done
% 7.19/7.57
% 7.19/7.57
% 7.19/7.57 Intermediate Status:
% 7.19/7.57 Generated: 75108
% 7.19/7.57 Kept: 13139
% 7.19/7.57 Inuse: 867
% 7.19/7.57 Deleted: 8
% 7.19/7.57 Deletedinuse: 4
% 7.19/7.57
% 7.19/7.57 Resimplifying inuse:
% 7.19/7.57 Done
% 7.19/7.57
% 7.19/7.57 Resimplifying inuse:
% 7.19/7.57 Done
% 7.19/7.57
% 7.19/7.57
% 7.19/7.57 Intermediate Status:
% 7.19/7.57 Generated: 85454
% 7.19/7.57 Kept: 15157
% 7.19/7.57 Inuse: 959
% 7.19/7.57 Deleted: 10
% 7.19/7.57 Deletedinuse: 4
% 7.19/7.57
% 7.19/7.57 Resimplifying inuse:
% 7.19/7.57 Done
% 7.19/7.57
% 7.19/7.57 *** allocated 384427 integers for termspace/termends
% 7.19/7.57 Resimplifying inuse:
% 7.19/7.57 Done
% 7.19/7.57
% 7.19/7.57
% 7.19/7.57 Intermediate Status:
% 7.19/7.57 Generated: 101265
% 7.19/7.57 Kept: 17159
% 7.19/7.57 Inuse: 1131
% 7.19/7.57 Deleted: 12
% 7.19/7.57 Deletedinuse: 4
% 7.19/7.57
% 7.19/7.57 Resimplifying inuse:
% 7.19/7.57 Done
% 7.19/7.57
% 7.19/7.57 *** allocated 1297440 integers for clauses
% 7.19/7.57 Resimplifying inuse:
% 7.19/7.57 Done
% 7.19/7.57
% 7.19/7.57
% 7.19/7.57 Intermediate Status:
% 7.19/7.57 Generated: 110391
% 7.19/7.57 Kept: 19163
% 7.19/7.57 Inuse: 1215
% 7.19/7.57 Deleted: 12
% 7.19/7.57 Deletedinuse: 4
% 7.19/7.57
% 7.19/7.57 Resimplifying inuse:
% 7.19/7.57 Done
% 7.19/7.57
% 7.19/7.57 Resimplifying clauses:
% 7.19/7.57 Done
% 7.19/7.57
% 7.19/7.57 Resimplifying inuse:
% 7.19/7.57 Done
% 7.19/7.57
% 7.19/7.57
% 7.19/7.57 Intermediate Status:
% 7.19/7.57 Generated: 119585
% 7.19/7.57 Kept: 21180
% 7.19/7.57 Inuse: 1300
% 7.19/7.57 Deleted: 935
% 7.19/7.57 Deletedinuse: 4
% 7.19/7.57
% 7.19/7.57 Resimplifying inuse:
% 7.19/7.57 Done
% 7.19/7.57
% 7.19/7.57 Resimplifying inuse:
% 7.19/7.57 Done
% 7.19/7.57
% 7.19/7.57
% 7.19/7.57 Intermediate Status:
% 7.19/7.57 Generated: 130384
% 7.19/7.57 Kept: 23182
% 7.19/7.57 Inuse: 1398
% 7.19/7.57 Deleted: 935
% 7.19/7.57 Deletedinuse: 4
% 7.19/7.57
% 7.19/7.57 Resimplifying inuse:
% 7.19/7.57 Done
% 7.19/7.57
% 7.19/7.57 Resimplifying inuse:
% 7.19/7.57 Done
% 7.19/7.57
% 7.19/7.57
% 7.19/7.57 Intermediate Status:
% 7.19/7.57 Generated: 140321
% 7.19/7.57 Kept: 25220
% 7.19/7.57 Inuse: 1488
% 7.19/7.57 Deleted: 935
% 7.19/7.57 Deletedinuse: 4
% 7.19/7.57
% 7.19/7.57 Resimplifying inuse:
% 7.19/7.57 Done
% 7.19/7.57
% 7.19/7.57 Resimplifying inuse:
% 7.19/7.57 Done
% 7.19/7.57
% 7.19/7.57 *** allocated 1946160 integers for clauses
% 7.19/7.57 *** allocated 576640 integers for termspace/termends
% 7.19/7.57
% 7.19/7.57 Intermediate Status:
% 7.19/7.57 Generated: 150672
% 7.19/7.57 Kept: 27238
% 7.19/7.57 Inuse: 1592
% 7.19/7.57 Deleted: 935
% 7.19/7.57 Deletedinuse: 4
% 7.19/7.57
% 7.19/7.57 Resimplifying inuse:
% 7.19/7.57 Done
% 7.19/7.57
% 7.19/7.57 Resimplifying inuse:
% 7.19/7.57 Done
% 7.19/7.57
% 7.19/7.57
% 7.19/7.57 Intermediate Status:
% 7.19/7.57 Generated: 161541
% 7.19/7.57 Kept: 29239
% 7.19/7.57 Inuse: 1706
% 7.19/7.57 Deleted: 935
% 7.19/7.57 Deletedinuse: 4
% 7.19/7.57
% 7.19/7.57 Resimplifying inuse:
% 7.19/7.57 Done
% 7.19/7.57
% 7.19/7.57 Resimplifying inuse:
% 7.19/7.57 Done
% 7.19/7.57
% 7.19/7.57
% 7.19/7.57 Intermediate Status:
% 7.19/7.57 Generated: 172765
% 7.19/7.57 Kept: 31249
% 7.19/7.57 Inuse: 1831
% 7.19/7.57 Deleted: 936
% 7.19/7.57 Deletedinuse: 4
% 7.19/7.57
% 7.19/7.57 Resimplifying inuse:
% 7.19/7.57 Done
% 7.19/7.57
% 7.19/7.57 Resimplifying inuse:
% 7.19/7.57 Done
% 7.19/7.57
% 7.19/7.57
% 7.19/7.57 Intermediate Status:
% 7.19/7.57 Generated: 186227
% 7.19/7.57 Kept: 33259
% 7.19/7.57 Inuse: 1968
% 7.19/7.57 Deleted: 936
% 7.19/7.57 Deletedinuse: 4
% 7.19/7.57
% 7.19/7.57 Resimplifying inuse:
% 7.19/7.57 Done
% 7.19/7.57
% 7.19/7.57 Resimplifying inuse:
% 7.19/7.57 Done
% 7.19/7.57
% 7.19/7.57
% 7.19/7.57 Intermediate Status:
% 7.19/7.57 Generated: 199890
% 7.19/7.57 Kept: 35262
% 7.19/7.57 Inuse: 2116
% 7.19/7.57 Deleted: 948
% 7.19/7.57 Deletedinuse: 16
% 7.19/7.57
% 7.19/7.57 Resimplifying inuse:
% 7.19/7.57 Done
% 7.19/7.57
% 7.19/7.57 Resimplifying inuse:
% 7.19/7.57 Done
% 7.19/7.57
% 7.19/7.57
% 7.19/7.57 Intermediate Status:
% 7.19/7.57 Generated: 211167
% 7.19/7.57 Kept: 37280
% 7.19/7.57 Inuse: 2233
% 7.19/7.57 Deleted: 968
% 7.19/7.57 Deletedinuse: 36
% 7.19/7.57
% 7.19/7.57 Resimplifying inuse:
% 7.19/7.57 Done
% 7.19/7.57
% 7.19/7.57 Resimplifying inuse:
% 7.19/7.57 Done
% 7.19/7.57
% 7.19/7.57
% 7.19/7.57 Intermediate Status:
% 7.19/7.57 Generated: 222714
% 7.19/7.57 Kept: 39282
% 7.19/7.57 Inuse: 2354
% 7.19/7.57 Deleted: 988
% 7.19/7.57 Deletedinuse: 56
% 7.19/7.57
% 7.19/7.57 Resimplifying inuse:
% 7.19/7.57 Done
% 7.19/7.57
% 7.19/7.57 *** allocated 2919240 integers for clauses
% 7.19/7.57 Resimplifying clauses:
% 7.19/7.57 Done
% 7.19/7.57
% 7.19/7.57 Resimplifying inuse:
% 7.19/7.57 Done
% 7.19/7.57
% 7.19/7.57
% 7.19/7.57 Intermediate Status:
% 7.19/7.57 Generated: 234443
% 7.19/7.57 Kept: 41288
% 7.19/7.57 Inuse: 2481
% 7.19/7.57 Deleted: 2797
% 7.19/7.57 Deletedinuse: 74
% 7.19/7.57
% 7.19/7.57 Resimplifying inuse:
% 7.19/7.57 Done
% 7.19/7.57
% 7.19/7.57 Resimplifying inuse:
% 7.19/7.57 Done
% 7.19/7.57
% 7.19/7.57 *** allocated 864960 integers for termspace/termends
% 7.19/7.57
% 7.19/7.57 Intermediate Status:
% 7.19/7.57 Generated: 249713
% 7.19/7.57 Kept: 43293
% 7.19/7.57 Inuse: 2625
% 7.19/7.57 Deleted: 2820
% 7.19/7.57 Deletedinuse: 96
% 7.19/7.57
% 7.19/7.57 Resimplifying inuse:
% 7.19/7.57 Done
% 7.19/7.57
% 7.19/7.57 Resimplifying inuse:
% 7.19/7.57 Done
% 7.19/7.57
% 7.19/7.57
% 7.19/7.57 Intermediate Status:
% 7.19/7.57 Generated: 263137
% 7.19/7.57 Kept: 45298
% 7.19/7.57 Inuse: 2745
% 7.19/7.57 Deleted: 2844
% 7.19/7.57 Deletedinuse: 108
% 7.19/7.57
% 7.19/7.57 Resimplifying inuse:
% 7.19/7.57 Done
% 7.19/7.57
% 7.19/7.57 Resimplifying inuse:
% 7.19/7.57 Done
% 7.19/7.57
% 7.19/7.57
% 7.19/7.57 Intermediate Status:
% 7.19/7.57 Generated: 285465
% 7.19/7.57 Kept: 47307
% 7.19/7.57 Inuse: 2902
% 7.19/7.57 Deleted: 2860
% 7.19/7.57 Deletedinuse: 118
% 7.19/7.57
% 7.19/7.57 Resimplifying inuse:
% 7.19/7.57 Done
% 7.19/7.57
% 7.19/7.57 Resimplifying inuse:
% 7.19/7.57 Done
% 7.19/7.57
% 7.19/7.57
% 7.19/7.57 Bliksems!, er is een bewijs:
% 7.19/7.57 % SZS status Theorem
% 7.19/7.57 % SZS output start Refutation
% 7.19/7.57
% 7.19/7.57 (0) {G0,W8,D2,L2,V3,M2} I { ! coll( X, Y, Z ), coll( X, Z, Y ) }.
% 7.19/7.57 (1) {G0,W8,D2,L2,V3,M2} I { ! coll( X, Y, Z ), coll( Y, X, Z ) }.
% 7.19/7.57 (2) {G0,W12,D2,L3,V4,M3} I { ! coll( X, T, Y ), ! coll( X, T, Z ), coll( Y
% 7.19/7.57 , Z, X ) }.
% 7.19/7.57 (3) {G0,W10,D2,L2,V4,M2} I { ! para( X, Y, Z, T ), para( X, Y, T, Z ) }.
% 7.19/7.57 (4) {G0,W10,D2,L2,V4,M2} I { ! para( X, Y, Z, T ), para( Z, T, X, Y ) }.
% 7.19/7.57 (5) {G0,W15,D2,L3,V6,M3} I { ! para( X, Y, U, W ), ! para( U, W, Z, T ),
% 7.19/7.57 para( X, Y, Z, T ) }.
% 7.19/7.57 (6) {G0,W10,D2,L2,V4,M2} I { ! perp( X, Y, Z, T ), perp( X, Y, T, Z ) }.
% 7.19/7.57 (7) {G0,W10,D2,L2,V4,M2} I { ! perp( X, Y, Z, T ), perp( Z, T, X, Y ) }.
% 7.19/7.57 (8) {G0,W15,D2,L3,V6,M3} I { ! perp( X, Y, U, W ), ! perp( U, W, Z, T ),
% 7.19/7.57 para( X, Y, Z, T ) }.
% 7.19/7.57 (13) {G0,W10,D2,L2,V4,M2} I { ! cyclic( X, Y, Z, T ), cyclic( X, Y, T, Z )
% 7.19/7.57 }.
% 7.19/7.57 (14) {G0,W10,D2,L2,V4,M2} I { ! cyclic( X, Y, Z, T ), cyclic( X, Z, Y, T )
% 7.19/7.57 }.
% 7.19/7.57 (15) {G0,W10,D2,L2,V4,M2} I { ! cyclic( X, Y, Z, T ), cyclic( Y, X, Z, T )
% 7.19/7.57 }.
% 7.19/7.57 (16) {G0,W15,D2,L3,V5,M3} I { ! cyclic( U, X, Y, Z ), ! cyclic( U, X, Y, T
% 7.19/7.57 ), cyclic( X, Y, Z, T ) }.
% 7.19/7.57 (18) {G0,W18,D2,L2,V8,M2} I { ! eqangle( X, Y, Z, T, U, W, V0, V1 ),
% 7.19/7.57 eqangle( Z, T, X, Y, V0, V1, U, W ) }.
% 7.19/7.57 (39) {G0,W14,D2,L2,V6,M2} I { ! para( X, Y, Z, T ), eqangle( X, Y, U, W, Z
% 7.19/7.57 , T, U, W ) }.
% 7.19/7.57 (42) {G0,W18,D2,L3,V4,M3} I { ! eqangle( Z, X, Z, Y, T, X, T, Y ), ! coll(
% 7.19/7.57 Z, T, Y ), cyclic( X, Y, Z, T ) }.
% 7.19/7.57 (53) {G0,W14,D2,L3,V4,M3} I { ! circle( T, X, Y, Z ), ! coll( T, X, Z ),
% 7.19/7.57 perp( X, Y, Y, Z ) }.
% 7.19/7.57 (96) {G0,W14,D2,L3,V4,M3} I { ! perp( X, T, Y, Z ), ! perp( Y, T, X, Z ),
% 7.19/7.57 alpha1( X, Y, Z ) }.
% 7.19/7.57 (97) {G0,W11,D3,L2,V4,M2} I { ! alpha1( X, Y, Z ), coll( skol11( X, T, Z )
% 7.19/7.57 , Z, X ) }.
% 7.19/7.57 (100) {G0,W12,D3,L2,V4,M2} I { ! circle( Y, X, Z, T ), perp( skol12( X, Y )
% 7.19/7.57 , X, X, Y ) }.
% 7.19/7.57 (117) {G0,W4,D2,L1,V0,M1} I { coll( skol27, skol28, skol29 ) }.
% 7.19/7.57 (125) {G0,W4,D2,L1,V0,M1} I { coll( skol34, skol30, skol28 ) }.
% 7.19/7.57 (126) {G0,W5,D2,L1,V0,M1} I { circle( skol35, skol28, skol27, skol34 ) }.
% 7.19/7.57 (141) {G0,W5,D2,L1,V0,M1} I { ! cyclic( skol20, skol22, skol23, skol24 )
% 7.19/7.57 }.
% 7.19/7.57 (142) {G1,W8,D2,L2,V3,M2} F(2) { ! coll( X, Y, Z ), coll( Z, Z, X ) }.
% 7.19/7.57 (189) {G1,W8,D2,L2,V3,M2} R(1,0) { ! coll( X, Y, Z ), coll( Y, Z, X ) }.
% 7.19/7.57 (220) {G1,W12,D2,L3,V4,M3} R(2,0) { ! coll( X, Y, Z ), ! coll( X, Y, T ),
% 7.19/7.57 coll( Z, X, T ) }.
% 7.19/7.57 (231) {G2,W8,D2,L2,V3,M2} F(220) { ! coll( X, Y, Z ), coll( Z, X, Z ) }.
% 7.19/7.57 (256) {G1,W10,D2,L2,V4,M2} R(4,3) { ! para( X, Y, Z, T ), para( Z, T, Y, X
% 7.19/7.57 ) }.
% 7.19/7.57 (266) {G1,W15,D2,L3,V6,M3} R(5,4) { ! para( X, Y, Z, T ), para( U, W, Z, T
% 7.19/7.57 ), ! para( X, Y, U, W ) }.
% 7.19/7.57 (272) {G2,W10,D2,L2,V4,M2} F(266) { ! para( X, Y, Z, T ), para( Z, T, Z, T
% 7.19/7.57 ) }.
% 7.19/7.57 (310) {G1,W15,D2,L3,V6,M3} R(8,7) { ! perp( X, Y, Z, T ), para( X, Y, U, W
% 7.19/7.57 ), ! perp( U, W, Z, T ) }.
% 7.19/7.57 (318) {G2,W10,D2,L2,V4,M2} F(310) { ! perp( X, Y, Z, T ), para( X, Y, X, Y
% 7.19/7.57 ) }.
% 7.19/7.57 (360) {G1,W4,D2,L1,V0,M1} R(117,1) { coll( skol28, skol27, skol29 ) }.
% 7.19/7.57 (364) {G2,W4,D2,L1,V0,M1} R(360,0) { coll( skol28, skol29, skol27 ) }.
% 7.19/7.57 (394) {G1,W5,D2,L1,V0,M1} R(14,141) { ! cyclic( skol20, skol23, skol22,
% 7.19/7.57 skol24 ) }.
% 7.19/7.57 (396) {G1,W10,D2,L2,V4,M2} R(14,13) { ! cyclic( X, Y, Z, T ), cyclic( X, Z
% 7.19/7.57 , T, Y ) }.
% 7.19/7.57 (397) {G2,W5,D2,L1,V0,M1} R(394,13) { ! cyclic( skol20, skol23, skol24,
% 7.19/7.57 skol22 ) }.
% 7.19/7.57 (402) {G3,W5,D2,L1,V0,M1} R(15,397) { ! cyclic( skol23, skol20, skol24,
% 7.19/7.57 skol22 ) }.
% 7.19/7.57 (404) {G1,W10,D2,L2,V4,M2} R(15,14) { cyclic( X, Y, Z, T ), ! cyclic( Y, Z
% 7.19/7.57 , X, T ) }.
% 7.19/7.57 (407) {G1,W10,D2,L2,V4,M2} R(15,13) { cyclic( X, Y, Z, T ), ! cyclic( Y, X
% 7.19/7.57 , T, Z ) }.
% 7.19/7.57 (428) {G1,W15,D2,L3,V5,M3} R(16,15) { ! cyclic( X, Y, Z, T ), ! cyclic( X,
% 7.19/7.57 Y, Z, U ), cyclic( Z, Y, T, U ) }.
% 7.19/7.57 (436) {G1,W15,D2,L3,V5,M3} R(16,13) { ! cyclic( X, Y, Z, T ), cyclic( Y, Z
% 7.19/7.57 , T, U ), ! cyclic( X, Y, U, Z ) }.
% 7.19/7.57 (440) {G2,W10,D2,L2,V4,M2} F(428) { ! cyclic( X, Y, Z, T ), cyclic( Z, Y, T
% 7.19/7.57 , T ) }.
% 7.19/7.57 (458) {G4,W10,D2,L2,V1,M2} R(402,16) { ! cyclic( X, skol23, skol20, skol24
% 7.19/7.57 ), ! cyclic( X, skol23, skol20, skol22 ) }.
% 7.19/7.57 (505) {G3,W4,D2,L1,V0,M1} R(231,364) { coll( skol27, skol28, skol27 ) }.
% 7.19/7.57 (535) {G3,W12,D2,L3,V4,M3} R(231,2) { coll( X, Y, X ), ! coll( X, Z, Y ), !
% 7.19/7.57 coll( X, Z, T ) }.
% 7.19/7.57 (550) {G3,W4,D2,L1,V0,M1} R(231,125) { coll( skol28, skol34, skol28 ) }.
% 7.19/7.57 (551) {G4,W8,D2,L2,V3,M2} F(535) { coll( X, Y, X ), ! coll( X, Z, Y ) }.
% 7.19/7.57 (649) {G4,W4,D2,L1,V0,M1} R(505,0) { coll( skol27, skol27, skol28 ) }.
% 7.19/7.57 (756) {G1,W14,D2,L2,V6,M2} R(39,18) { ! para( X, Y, Z, T ), eqangle( U, W,
% 7.19/7.57 X, Y, U, W, Z, T ) }.
% 7.19/7.57 (877) {G5,W14,D2,L2,V1,M2} R(42,649) { ! eqangle( skol27, X, skol27, skol28
% 7.19/7.57 , skol27, X, skol27, skol28 ), cyclic( X, skol28, skol27, skol27 ) }.
% 7.19/7.57 (1687) {G1,W9,D2,L2,V0,M2} R(53,126) { ! coll( skol35, skol28, skol34 ),
% 7.19/7.57 perp( skol28, skol27, skol27, skol34 ) }.
% 7.19/7.57 (2192) {G4,W4,D2,L1,V0,M1} R(550,0) { coll( skol28, skol28, skol34 ) }.
% 7.19/7.57 (2200) {G5,W8,D2,L2,V1,M2} R(2192,2) { ! coll( skol28, skol28, X ), coll(
% 7.19/7.57 skol34, X, skol28 ) }.
% 7.19/7.57 (2240) {G5,W8,D2,L2,V3,M2} R(551,1) { ! coll( X, Y, Z ), coll( Z, X, X )
% 7.19/7.57 }.
% 7.19/7.57 (2246) {G6,W8,D2,L2,V3,M2} R(2240,1) { coll( X, Y, Y ), ! coll( Z, Y, X )
% 7.19/7.57 }.
% 7.19/7.57 (2990) {G6,W8,D2,L2,V2,M2} R(2200,142) { coll( skol34, X, skol28 ), ! coll
% 7.19/7.57 ( X, Y, skol28 ) }.
% 7.19/7.57 (3760) {G7,W8,D2,L2,V2,M2} R(2990,189) { ! coll( X, Y, skol28 ), coll( X,
% 7.19/7.57 skol28, skol34 ) }.
% 7.19/7.57 (3847) {G8,W8,D2,L2,V2,M2} R(3760,142) { coll( X, skol28, skol34 ), ! coll
% 7.19/7.57 ( skol28, Y, X ) }.
% 7.19/7.57 (4364) {G7,W8,D2,L2,V3,M2} R(97,2246) { ! alpha1( X, Y, Z ), coll( X, Z, Z
% 7.19/7.57 ) }.
% 7.19/7.57 (4858) {G1,W7,D3,L1,V0,M1} R(100,126) { perp( skol12( skol28, skol35 ),
% 7.19/7.57 skol28, skol28, skol35 ) }.
% 7.19/7.57 (4885) {G2,W7,D3,L1,V0,M1} R(4858,7) { perp( skol28, skol35, skol12( skol28
% 7.19/7.57 , skol35 ), skol28 ) }.
% 7.19/7.57 (4896) {G3,W7,D3,L1,V0,M1} R(4885,6) { perp( skol28, skol35, skol28, skol12
% 7.19/7.57 ( skol28, skol35 ) ) }.
% 7.19/7.57 (4906) {G4,W7,D3,L1,V0,M1} R(4896,7) { perp( skol28, skol12( skol28, skol35
% 7.19/7.57 ), skol28, skol35 ) }.
% 7.19/7.57 (5894) {G5,W4,D2,L1,V0,M1} R(4906,96);r(4906) { alpha1( skol28, skol28,
% 7.19/7.57 skol35 ) }.
% 7.19/7.57 (5904) {G8,W4,D2,L1,V0,M1} R(5894,4364) { coll( skol28, skol35, skol35 )
% 7.19/7.57 }.
% 7.19/7.57 (5920) {G9,W4,D2,L1,V0,M1} R(5904,3847) { coll( skol35, skol28, skol34 )
% 7.19/7.57 }.
% 7.19/7.57 (20058) {G10,W5,D2,L1,V0,M1} S(1687);r(5920) { perp( skol28, skol27, skol27
% 7.19/7.57 , skol34 ) }.
% 7.19/7.57 (33540) {G11,W5,D2,L1,V0,M1} R(20058,318) { para( skol28, skol27, skol28,
% 7.19/7.57 skol27 ) }.
% 7.19/7.57 (33632) {G12,W5,D2,L1,V0,M1} R(33540,256) { para( skol28, skol27, skol27,
% 7.19/7.57 skol28 ) }.
% 7.19/7.57 (33640) {G13,W5,D2,L1,V0,M1} R(33632,272) { para( skol27, skol28, skol27,
% 7.19/7.57 skol28 ) }.
% 7.19/7.57 (42030) {G14,W9,D2,L1,V2,M1} R(756,33640) { eqangle( X, Y, skol27, skol28,
% 7.19/7.57 X, Y, skol27, skol28 ) }.
% 7.19/7.57 (48868) {G15,W5,D2,L1,V1,M1} S(877);r(42030) { cyclic( X, skol28, skol27,
% 7.19/7.57 skol27 ) }.
% 7.19/7.57 (48889) {G16,W5,D2,L1,V1,M1} R(48868,407) { cyclic( skol28, X, skol27,
% 7.19/7.57 skol27 ) }.
% 7.19/7.57 (48901) {G17,W5,D2,L1,V1,M1} R(48889,440) { cyclic( skol27, X, skol27,
% 7.19/7.57 skol27 ) }.
% 7.19/7.57 (48923) {G18,W5,D2,L1,V1,M1} R(48901,404) { cyclic( skol27, skol27, X,
% 7.19/7.57 skol27 ) }.
% 7.19/7.57 (48924) {G18,W5,D2,L1,V1,M1} R(48901,396) { cyclic( skol27, skol27, skol27
% 7.19/7.57 , X ) }.
% 7.19/7.57 (48929) {G19,W5,D2,L1,V2,M1} R(48923,436);r(48924) { cyclic( skol27, skol27
% 7.19/7.57 , X, Y ) }.
% 7.19/7.57 (48951) {G20,W5,D2,L1,V3,M1} R(48929,436);r(48929) { cyclic( skol27, X, Y,
% 7.19/7.57 Z ) }.
% 7.19/7.57 (48967) {G21,W0,D0,L0,V0,M0} R(48951,458);r(48951) { }.
% 7.19/7.57
% 7.19/7.57
% 7.19/7.57 % SZS output end Refutation
% 7.19/7.57 found a proof!
% 7.19/7.57
% 7.19/7.57
% 7.19/7.57 Unprocessed initial clauses:
% 7.19/7.57
% 7.19/7.57 (48969) {G0,W8,D2,L2,V3,M2} { ! coll( X, Y, Z ), coll( X, Z, Y ) }.
% 7.19/7.57 (48970) {G0,W8,D2,L2,V3,M2} { ! coll( X, Y, Z ), coll( Y, X, Z ) }.
% 7.19/7.57 (48971) {G0,W12,D2,L3,V4,M3} { ! coll( X, T, Y ), ! coll( X, T, Z ), coll
% 7.19/7.57 ( Y, Z, X ) }.
% 7.19/7.57 (48972) {G0,W10,D2,L2,V4,M2} { ! para( X, Y, Z, T ), para( X, Y, T, Z )
% 7.19/7.57 }.
% 7.19/7.57 (48973) {G0,W10,D2,L2,V4,M2} { ! para( X, Y, Z, T ), para( Z, T, X, Y )
% 7.19/7.57 }.
% 7.19/7.57 (48974) {G0,W15,D2,L3,V6,M3} { ! para( X, Y, U, W ), ! para( U, W, Z, T )
% 7.19/7.57 , para( X, Y, Z, T ) }.
% 7.19/7.57 (48975) {G0,W10,D2,L2,V4,M2} { ! perp( X, Y, Z, T ), perp( X, Y, T, Z )
% 7.19/7.57 }.
% 7.19/7.57 (48976) {G0,W10,D2,L2,V4,M2} { ! perp( X, Y, Z, T ), perp( Z, T, X, Y )
% 7.19/7.57 }.
% 7.19/7.57 (48977) {G0,W15,D2,L3,V6,M3} { ! perp( X, Y, U, W ), ! perp( U, W, Z, T )
% 7.19/7.57 , para( X, Y, Z, T ) }.
% 7.19/7.57 (48978) {G0,W15,D2,L3,V6,M3} { ! para( X, Y, U, W ), ! perp( U, W, Z, T )
% 7.19/7.57 , perp( X, Y, Z, T ) }.
% 7.19/7.57 (48979) {G0,W8,D2,L2,V3,M2} { ! midp( Z, Y, X ), midp( Z, X, Y ) }.
% 7.19/7.57 (48980) {G0,W15,D2,L3,V4,M3} { ! cong( T, X, T, Y ), ! cong( T, X, T, Z )
% 7.19/7.57 , circle( T, X, Y, Z ) }.
% 7.19/7.57 (48981) {G0,W20,D2,L4,V5,M4} { ! cong( U, X, U, Y ), ! cong( U, X, U, Z )
% 7.19/7.57 , ! cong( U, X, U, T ), cyclic( X, Y, Z, T ) }.
% 7.19/7.57 (48982) {G0,W10,D2,L2,V4,M2} { ! cyclic( X, Y, Z, T ), cyclic( X, Y, T, Z
% 7.19/7.57 ) }.
% 7.19/7.57 (48983) {G0,W10,D2,L2,V4,M2} { ! cyclic( X, Y, Z, T ), cyclic( X, Z, Y, T
% 7.19/7.57 ) }.
% 7.19/7.57 (48984) {G0,W10,D2,L2,V4,M2} { ! cyclic( X, Y, Z, T ), cyclic( Y, X, Z, T
% 7.19/7.57 ) }.
% 7.19/7.57 (48985) {G0,W15,D2,L3,V5,M3} { ! cyclic( U, X, Y, Z ), ! cyclic( U, X, Y,
% 7.19/7.57 T ), cyclic( X, Y, Z, T ) }.
% 7.19/7.57 (48986) {G0,W18,D2,L2,V8,M2} { ! eqangle( X, Y, Z, T, U, W, V0, V1 ),
% 7.19/7.57 eqangle( Y, X, Z, T, U, W, V0, V1 ) }.
% 7.19/7.57 (48987) {G0,W18,D2,L2,V8,M2} { ! eqangle( X, Y, Z, T, U, W, V0, V1 ),
% 7.19/7.57 eqangle( Z, T, X, Y, V0, V1, U, W ) }.
% 7.19/7.57 (48988) {G0,W18,D2,L2,V8,M2} { ! eqangle( X, Y, Z, T, U, W, V0, V1 ),
% 7.19/7.57 eqangle( U, W, V0, V1, X, Y, Z, T ) }.
% 7.19/7.57 (48989) {G0,W18,D2,L2,V8,M2} { ! eqangle( X, Y, Z, T, U, W, V0, V1 ),
% 7.19/7.57 eqangle( X, Y, U, W, Z, T, V0, V1 ) }.
% 7.19/7.57 (48990) {G0,W27,D2,L3,V12,M3} { ! eqangle( X, Y, Z, T, V2, V3, V4, V5 ), !
% 7.19/7.57 eqangle( V2, V3, V4, V5, U, W, V0, V1 ), eqangle( X, Y, Z, T, U, W, V0,
% 7.19/7.57 V1 ) }.
% 7.19/7.57 (48991) {G0,W10,D2,L2,V4,M2} { ! cong( X, Y, Z, T ), cong( X, Y, T, Z )
% 7.19/7.57 }.
% 7.19/7.57 (48992) {G0,W10,D2,L2,V4,M2} { ! cong( X, Y, Z, T ), cong( Z, T, X, Y )
% 7.19/7.57 }.
% 7.19/7.57 (48993) {G0,W15,D2,L3,V6,M3} { ! cong( X, Y, U, W ), ! cong( U, W, Z, T )
% 7.19/7.57 , cong( X, Y, Z, T ) }.
% 7.19/7.57 (48994) {G0,W18,D2,L2,V8,M2} { ! eqratio( X, Y, Z, T, U, W, V0, V1 ),
% 7.19/7.57 eqratio( Y, X, Z, T, U, W, V0, V1 ) }.
% 7.19/7.57 (48995) {G0,W18,D2,L2,V8,M2} { ! eqratio( X, Y, Z, T, U, W, V0, V1 ),
% 7.19/7.57 eqratio( Z, T, X, Y, V0, V1, U, W ) }.
% 7.19/7.57 (48996) {G0,W18,D2,L2,V8,M2} { ! eqratio( X, Y, Z, T, U, W, V0, V1 ),
% 7.19/7.57 eqratio( U, W, V0, V1, X, Y, Z, T ) }.
% 7.19/7.57 (48997) {G0,W18,D2,L2,V8,M2} { ! eqratio( X, Y, Z, T, U, W, V0, V1 ),
% 7.19/7.57 eqratio( X, Y, U, W, Z, T, V0, V1 ) }.
% 7.19/7.57 (48998) {G0,W27,D2,L3,V12,M3} { ! eqratio( X, Y, Z, T, V2, V3, V4, V5 ), !
% 7.19/7.57 eqratio( V2, V3, V4, V5, U, W, V0, V1 ), eqratio( X, Y, Z, T, U, W, V0,
% 7.19/7.57 V1 ) }.
% 7.19/7.57 (48999) {G0,W14,D2,L2,V6,M2} { ! simtri( X, Z, Y, T, W, U ), simtri( X, Y
% 7.19/7.57 , Z, T, U, W ) }.
% 7.19/7.57 (49000) {G0,W14,D2,L2,V6,M2} { ! simtri( Y, X, Z, U, T, W ), simtri( X, Y
% 7.19/7.57 , Z, T, U, W ) }.
% 7.19/7.57 (49001) {G0,W14,D2,L2,V6,M2} { ! simtri( T, U, W, X, Y, Z ), simtri( X, Y
% 7.19/7.57 , Z, T, U, W ) }.
% 7.19/7.57 (49002) {G0,W21,D2,L3,V9,M3} { ! simtri( X, Y, Z, V0, V1, V2 ), ! simtri(
% 7.19/7.57 V0, V1, V2, T, U, W ), simtri( X, Y, Z, T, U, W ) }.
% 7.19/7.57 (49003) {G0,W14,D2,L2,V6,M2} { ! contri( X, Z, Y, T, W, U ), contri( X, Y
% 7.19/7.57 , Z, T, U, W ) }.
% 7.19/7.57 (49004) {G0,W14,D2,L2,V6,M2} { ! contri( Y, X, Z, U, T, W ), contri( X, Y
% 7.19/7.57 , Z, T, U, W ) }.
% 7.19/7.57 (49005) {G0,W14,D2,L2,V6,M2} { ! contri( T, U, W, X, Y, Z ), contri( X, Y
% 7.19/7.57 , Z, T, U, W ) }.
% 7.19/7.57 (49006) {G0,W21,D2,L3,V9,M3} { ! contri( X, Y, Z, V0, V1, V2 ), ! contri(
% 7.19/7.57 V0, V1, V2, T, U, W ), contri( X, Y, Z, T, U, W ) }.
% 7.19/7.57 (49007) {G0,W14,D2,L2,V6,M2} { ! eqangle( X, Y, U, W, Z, T, U, W ), para(
% 7.19/7.57 X, Y, Z, T ) }.
% 7.19/7.57 (49008) {G0,W14,D2,L2,V6,M2} { ! para( X, Y, Z, T ), eqangle( X, Y, U, W,
% 7.19/7.57 Z, T, U, W ) }.
% 7.19/7.57 (49009) {G0,W14,D2,L2,V4,M2} { ! cyclic( X, Y, Z, T ), eqangle( Z, X, Z, Y
% 7.19/7.57 , T, X, T, Y ) }.
% 7.19/7.57 (49010) {G0,W18,D2,L3,V4,M3} { ! eqangle( Z, X, Z, Y, T, X, T, Y ), coll(
% 7.19/7.57 Z, T, X ), cyclic( X, Y, Z, T ) }.
% 7.19/7.57 (49011) {G0,W18,D2,L3,V4,M3} { ! eqangle( Z, X, Z, Y, T, X, T, Y ), ! coll
% 7.19/7.57 ( Z, T, Y ), cyclic( X, Y, Z, T ) }.
% 7.19/7.57 (49012) {G0,W29,D2,L5,V6,M5} { ! cyclic( X, Y, U, Z ), ! cyclic( X, Y, U,
% 7.19/7.57 T ), ! cyclic( X, Y, U, W ), ! eqangle( U, X, U, Y, W, Z, W, T ), cong( X
% 7.19/7.57 , Y, Z, T ) }.
% 7.19/7.57 (49013) {G0,W13,D2,L3,V5,M3} { ! midp( Z, U, X ), ! midp( T, U, Y ), para
% 7.19/7.57 ( Z, T, X, Y ) }.
% 7.19/7.57 (49014) {G0,W17,D2,L4,V5,M4} { ! midp( U, X, T ), ! para( U, Z, T, Y ), !
% 7.19/7.57 coll( Z, X, Y ), midp( Z, X, Y ) }.
% 7.19/7.57 (49015) {G0,W14,D2,L2,V3,M2} { ! cong( Z, X, Z, Y ), eqangle( Z, X, X, Y,
% 7.19/7.57 X, Y, Z, Y ) }.
% 7.19/7.57 (49016) {G0,W18,D2,L3,V3,M3} { ! eqangle( Z, X, X, Y, X, Y, Z, Y ), coll(
% 7.19/7.57 Z, X, Y ), cong( Z, X, Z, Y ) }.
% 7.19/7.57 (49017) {G0,W19,D2,L3,V5,M3} { ! circle( U, X, Y, Z ), ! perp( U, X, X, T
% 7.19/7.57 ), eqangle( X, T, X, Y, Z, X, Z, Y ) }.
% 7.19/7.57 (49018) {G0,W19,D2,L3,V5,M3} { ! circle( Y, X, T, U ), ! eqangle( X, Z, X
% 7.19/7.57 , T, U, X, U, T ), perp( Y, X, X, Z ) }.
% 7.19/7.57 (49019) {G0,W18,D2,L3,V5,M3} { ! circle( T, X, Y, Z ), ! midp( U, Y, Z ),
% 7.19/7.57 eqangle( X, Y, X, Z, T, Y, T, U ) }.
% 7.19/7.57 (49020) {G0,W22,D2,L4,V5,M4} { ! circle( U, T, X, Y ), ! coll( Z, X, Y ),
% 7.19/7.57 ! eqangle( T, X, T, Y, U, X, U, Z ), midp( Z, X, Y ) }.
% 7.19/7.57 (49021) {G0,W14,D2,L3,V4,M3} { ! perp( X, Y, Y, T ), ! midp( Z, X, T ),
% 7.19/7.57 cong( X, Z, Y, Z ) }.
% 7.19/7.57 (49022) {G0,W14,D2,L3,V4,M3} { ! circle( T, X, Y, Z ), ! coll( T, X, Z ),
% 7.19/7.57 perp( X, Y, Y, Z ) }.
% 7.19/7.57 (49023) {G0,W19,D2,L3,V4,M3} { ! cyclic( X, Y, Z, T ), ! para( X, Y, Z, T
% 7.19/7.57 ), eqangle( X, T, Z, T, Z, T, Z, Y ) }.
% 7.19/7.57 (49024) {G0,W14,D2,L3,V4,M3} { ! midp( T, X, Y ), ! perp( Z, T, X, Y ),
% 7.19/7.57 cong( Z, X, Z, Y ) }.
% 7.19/7.57 (49025) {G0,W15,D2,L3,V4,M3} { ! cong( X, Z, Y, Z ), ! cong( X, T, Y, T )
% 7.19/7.57 , perp( X, Y, Z, T ) }.
% 7.19/7.57 (49026) {G0,W20,D2,L4,V4,M4} { ! cong( X, Y, T, Y ), ! cong( X, Z, T, Z )
% 7.19/7.57 , ! cyclic( X, T, Y, Z ), perp( Y, X, X, Z ) }.
% 7.19/7.57 (49027) {G0,W29,D2,L4,V6,M4} { ! eqangle( X, Y, Y, Z, T, U, U, W ), !
% 7.19/7.57 eqangle( X, Z, Y, Z, T, W, U, W ), coll( X, Y, Z ), simtri( X, Y, Z, T, U
% 7.19/7.57 , W ) }.
% 7.19/7.57 (49028) {G0,W16,D2,L2,V6,M2} { ! simtri( X, Y, Z, T, U, W ), eqratio( X, Y
% 7.19/7.57 , X, Z, T, U, T, W ) }.
% 7.19/7.57 (49029) {G0,W16,D2,L2,V6,M2} { ! simtri( X, Y, Z, T, U, W ), eqangle( X, Y
% 7.19/7.57 , Y, Z, T, U, U, W ) }.
% 7.19/7.57 (49030) {G0,W19,D2,L3,V6,M3} { ! simtri( X, Y, Z, T, U, W ), ! cong( X, Y
% 7.19/7.57 , T, U ), contri( X, Y, Z, T, U, W ) }.
% 7.19/7.57 (49031) {G0,W12,D2,L2,V6,M2} { ! contri( X, Y, U, Z, T, W ), cong( X, Y, Z
% 7.19/7.57 , T ) }.
% 7.19/7.57 (49032) {G0,W13,D2,L3,V5,M3} { ! midp( U, X, Y ), ! midp( U, Z, T ), para
% 7.19/7.57 ( X, Z, Y, T ) }.
% 7.19/7.57 (49033) {G0,W18,D2,L4,V5,M4} { ! midp( Z, T, U ), ! para( T, X, U, Y ), !
% 7.19/7.57 para( T, Y, U, X ), midp( Z, X, Y ) }.
% 7.19/7.57 (49034) {G0,W22,D2,L4,V5,M4} { ! para( X, Y, Z, T ), ! coll( U, X, Z ), !
% 7.19/7.57 coll( U, Y, T ), eqratio( U, X, X, Z, U, Y, Y, T ) }.
% 7.19/7.57 (49035) {G0,W9,D2,L2,V3,M2} { ! para( X, Y, X, Z ), coll( X, Y, Z ) }.
% 7.19/7.57 (49036) {G0,W13,D2,L3,V3,M3} { ! cong( X, Y, X, Z ), ! coll( X, Y, Z ),
% 7.19/7.57 midp( X, Y, Z ) }.
% 7.19/7.57 (49037) {G0,W9,D2,L2,V3,M2} { ! midp( X, Y, Z ), cong( X, Y, X, Z ) }.
% 7.19/7.57 (49038) {G0,W8,D2,L2,V3,M2} { ! midp( X, Y, Z ), coll( X, Y, Z ) }.
% 7.19/7.57 (49039) {G0,W17,D2,L3,V6,M3} { ! midp( U, X, Y ), ! midp( W, Z, T ),
% 7.19/7.57 eqratio( U, X, X, Y, W, Z, Z, T ) }.
% 7.19/7.57 (49040) {G0,W19,D2,L3,V4,M3} { ! eqangle( X, Y, Z, T, Z, T, X, Y ), para(
% 7.19/7.57 X, Y, Z, T ), perp( X, Y, Z, T ) }.
% 7.19/7.57 (49041) {G0,W19,D2,L3,V4,M3} { ! eqangle( X, Y, Z, T, Z, T, X, Y ), perp(
% 7.19/7.57 X, Y, Z, T ), para( X, Y, Z, T ) }.
% 7.19/7.57 (49042) {G0,W19,D2,L3,V8,M3} { ! eqangle( X, Y, Z, T, U, W, V0, V1 ), !
% 7.19/7.57 para( U, W, V0, V1 ), para( X, Y, Z, T ) }.
% 7.19/7.57 (49043) {G0,W19,D2,L3,V8,M3} { ! eqangle( X, Y, Z, T, U, W, V0, V1 ), !
% 7.19/7.57 perp( U, W, V0, V1 ), perp( X, Y, Z, T ) }.
% 7.19/7.57 (49044) {G0,W19,D2,L3,V8,M3} { ! eqratio( X, Y, Z, T, U, W, V0, V1 ), !
% 7.19/7.57 cong( U, W, V0, V1 ), cong( X, Y, Z, T ) }.
% 7.19/7.57 (49045) {G0,W22,D3,L3,V6,M3} { ! perp( Z, Y, Y, X ), ! eqangle( T, Z, Y, Z
% 7.19/7.57 , Y, Z, X, Z ), coll( skol1( U, W, Z, T ), Z, T ) }.
% 7.19/7.57 (49046) {G0,W22,D3,L3,V4,M3} { ! perp( Z, Y, Y, X ), ! eqangle( T, Z, Y, Z
% 7.19/7.57 , Y, Z, X, Z ), coll( skol1( X, Y, Z, T ), X, Y ) }.
% 7.19/7.57 (49047) {G0,W22,D3,L3,V6,M3} { ! cong( Z, X, Z, Y ), ! eqangle( X, Z, Z, T
% 7.19/7.57 , Z, T, Z, Y ), coll( skol2( U, W, Z, T ), Z, T ) }.
% 7.19/7.57 (49048) {G0,W22,D3,L3,V4,M3} { ! cong( Z, X, Z, Y ), ! eqangle( X, Z, Z, T
% 7.19/7.57 , Z, T, Z, Y ), coll( Y, X, skol2( X, Y, Z, T ) ) }.
% 7.19/7.57 (49049) {G0,W22,D3,L3,V6,M3} { ! perp( Z, T, X, Y ), ! eqangle( X, Z, Z, T
% 7.19/7.57 , Z, T, Z, Y ), coll( skol3( U, W, Z, T ), Z, T ) }.
% 7.19/7.57 (49050) {G0,W22,D3,L3,V4,M3} { ! perp( Z, T, X, Y ), ! eqangle( X, Z, Z, T
% 7.19/7.57 , Z, T, Z, Y ), coll( Y, X, skol3( X, Y, Z, T ) ) }.
% 7.19/7.57 (49051) {G0,W18,D3,L3,V6,M3} { ! perp( Z, T, X, Y ), ! cong( Z, X, Z, Y )
% 7.19/7.57 , coll( skol4( U, W, Z, T ), Z, T ) }.
% 7.19/7.57 (49052) {G0,W18,D3,L3,V4,M3} { ! perp( Z, T, X, Y ), ! cong( Z, X, Z, Y )
% 7.19/7.57 , coll( Y, X, skol4( X, Y, Z, T ) ) }.
% 7.19/7.57 (49053) {G0,W22,D3,L3,V6,M3} { ! eqangle( X, Z, Y, Z, X, T, Y, U ), coll(
% 7.19/7.57 X, Y, Z ), cyclic( T, Y, Z, skol5( W, Y, Z, T ) ) }.
% 7.19/7.57 (49054) {G0,W30,D3,L3,V5,M3} { ! eqangle( X, Z, Y, Z, X, T, Y, U ), coll(
% 7.19/7.57 X, Y, Z ), eqangle( X, Z, Y, Z, X, skol5( X, Y, Z, T ), Y, skol5( X, Y, Z
% 7.19/7.57 , T ) ) }.
% 7.19/7.57 (49055) {G0,W18,D3,L3,V10,M3} { ! midp( U, X, Y ), ! midp( W, Z, T ), midp
% 7.19/7.57 ( skol6( X, V0, V1, T, V2, V3 ), X, T ) }.
% 7.19/7.57 (49056) {G0,W19,D3,L3,V8,M3} { ! midp( U, X, Y ), ! midp( W, Z, T ), para
% 7.19/7.57 ( skol6( X, V0, Z, T, V1, W ), W, X, Z ) }.
% 7.19/7.57 (49057) {G0,W19,D3,L3,V6,M3} { ! midp( U, X, Y ), ! midp( W, Z, T ), para
% 7.19/7.57 ( skol6( X, Y, Z, T, U, W ), U, Y, T ) }.
% 7.19/7.57 (49058) {G0,W22,D3,L5,V7,M5} { ! midp( Z, X, Y ), ! midp( W, T, U ), !
% 7.19/7.57 coll( T, X, Y ), ! coll( U, X, Y ), midp( skol7( X, V0 ), X, V0 ) }.
% 7.19/7.57 (49059) {G0,W26,D3,L5,V8,M5} { ! midp( T, X, U ), ! para( X, W, Z, T ), !
% 7.19/7.57 para( X, W, U, Y ), ! coll( W, Y, Z ), coll( skol8( V0, V1, Z, T ), T, Z
% 7.19/7.57 ) }.
% 7.19/7.57 (49060) {G0,W26,D3,L5,V6,M5} { ! midp( T, X, U ), ! para( X, W, Z, T ), !
% 7.19/7.57 para( X, W, U, Y ), ! coll( W, Y, Z ), coll( skol8( X, Y, Z, T ), X, Y )
% 7.19/7.57 }.
% 7.19/7.57 (49061) {G0,W19,D3,L3,V7,M3} { ! cong( T, Z, T, U ), ! perp( X, Y, Y, T )
% 7.19/7.57 , cong( T, Z, T, skol9( W, V0, Z, T ) ) }.
% 7.19/7.57 (49062) {G0,W19,D3,L3,V6,M3} { ! cong( T, Z, T, U ), ! perp( X, Y, Y, T )
% 7.19/7.57 , cong( Y, Z, Y, skol9( W, Y, Z, T ) ) }.
% 7.19/7.57 (49063) {G0,W19,D3,L3,V5,M3} { ! cong( T, Z, T, U ), ! perp( X, Y, Y, T )
% 7.19/7.57 , para( skol9( X, Y, Z, T ), Z, X, Y ) }.
% 7.19/7.57 (49064) {G0,W17,D3,L3,V5,M3} { ! perp( X, T, Y, Z ), ! perp( Y, T, X, Z )
% 7.19/7.57 , coll( skol10( U, Y, Z ), Z, Y ) }.
% 7.19/7.57 (49065) {G0,W18,D3,L3,V4,M3} { ! perp( X, T, Y, Z ), ! perp( Y, T, X, Z )
% 7.19/7.57 , perp( X, skol10( X, Y, Z ), Z, Y ) }.
% 7.19/7.57 (49066) {G0,W14,D2,L3,V4,M3} { ! perp( X, T, Y, Z ), ! perp( Y, T, X, Z )
% 7.19/7.57 , alpha1( X, Y, Z ) }.
% 7.19/7.57 (49067) {G0,W11,D3,L2,V4,M2} { ! alpha1( X, Y, Z ), coll( skol11( X, T, Z
% 7.19/7.57 ), Z, X ) }.
% 7.19/7.57 (49068) {G0,W12,D3,L2,V3,M2} { ! alpha1( X, Y, Z ), perp( Y, skol11( X, Y
% 7.19/7.57 , Z ), Z, X ) }.
% 7.19/7.57 (49069) {G0,W13,D2,L3,V4,M3} { ! coll( T, Z, X ), ! perp( Y, T, Z, X ),
% 7.19/7.57 alpha1( X, Y, Z ) }.
% 7.19/7.57 (49070) {G0,W12,D3,L2,V4,M2} { ! circle( Y, X, Z, T ), perp( skol12( X, Y
% 7.19/7.57 ), X, X, Y ) }.
% 7.19/7.57 (49071) {G0,W28,D3,L5,V8,M5} { ! circle( W, X, Y, Z ), ! cong( W, X, W, T
% 7.19/7.57 ), ! cong( U, X, U, Y ), W = U, alpha2( X, Z, U, skol13( X, V0, Z, V1, U
% 7.19/7.57 ) ) }.
% 7.19/7.57 (49072) {G0,W26,D3,L5,V8,M5} { ! circle( W, X, Y, Z ), ! cong( W, X, W, T
% 7.19/7.57 ), ! cong( U, X, U, Y ), W = U, coll( skol21( V0, Y, T, V1 ), Y, T ) }.
% 7.19/7.57 (49073) {G0,W27,D3,L5,V6,M5} { ! circle( W, X, Y, Z ), ! cong( W, X, W, T
% 7.19/7.57 ), ! cong( U, X, U, Y ), W = U, cong( skol21( X, Y, T, U ), U, U, X )
% 7.19/7.57 }.
% 7.19/7.57 (49074) {G0,W9,D2,L2,V4,M2} { ! alpha2( X, Y, Z, T ), coll( T, X, Y ) }.
% 7.19/7.57 (49075) {G0,W10,D2,L2,V4,M2} { ! alpha2( X, Y, Z, T ), cong( T, Z, Z, X )
% 7.19/7.57 }.
% 7.19/7.57 (49076) {G0,W14,D2,L3,V4,M3} { ! coll( T, X, Y ), ! cong( T, Z, Z, X ),
% 7.19/7.57 alpha2( X, Y, Z, T ) }.
% 7.19/7.57 (49077) {G0,W22,D3,L4,V5,M4} { ! cyclic( X, Y, Z, T ), ! para( X, Y, Z, T
% 7.19/7.57 ), ! midp( U, X, Y ), circle( skol14( X, Y, Z ), X, Y, Z ) }.
% 7.19/7.57 (49078) {G0,W18,D3,L3,V4,M3} { ! perp( X, Z, Z, Y ), ! cyclic( X, Y, Z, T
% 7.19/7.57 ), circle( skol15( X, Y, Z ), X, Y, Z ) }.
% 7.19/7.57 (49079) {G0,W16,D3,L3,V6,M3} { ! perp( X, U, U, T ), ! coll( T, Y, Z ),
% 7.19/7.57 coll( skol16( W, Y, Z ), Y, Z ) }.
% 7.19/7.57 (49080) {G0,W17,D3,L3,V5,M3} { ! perp( X, U, U, T ), ! coll( T, Y, Z ),
% 7.19/7.57 perp( skol16( X, Y, Z ), X, Y, Z ) }.
% 7.19/7.57 (49081) {G0,W20,D3,L4,V5,M4} { ! perp( X, Z, X, Y ), ! perp( Y, X, Y, T )
% 7.19/7.57 , ! midp( U, Z, T ), midp( skol17( X, Y ), X, Y ) }.
% 7.19/7.57 (49082) {G0,W16,D3,L3,V3,M3} { ! cong( Y, X, Y, Z ), ! perp( X, Y, Y, Z )
% 7.19/7.57 , coll( X, Y, skol18( X, Y ) ) }.
% 7.19/7.57 (49083) {G0,W17,D3,L3,V3,M3} { ! cong( Y, X, Y, Z ), ! perp( X, Y, Y, Z )
% 7.19/7.57 , cong( Y, X, Y, skol18( X, Y ) ) }.
% 7.19/7.57 (49084) {G0,W25,D3,L5,V8,M5} { ! para( U, W, X, Y ), ! coll( Z, U, X ), !
% 7.19/7.57 coll( Z, W, Y ), ! coll( T, U, W ), coll( Z, T, skol19( V0, V1, Z, T ) )
% 7.19/7.57 }.
% 7.19/7.57 (49085) {G0,W25,D3,L5,V6,M5} { ! para( U, W, X, Y ), ! coll( Z, U, X ), !
% 7.19/7.57 coll( Z, W, Y ), ! coll( T, U, W ), coll( skol19( X, Y, Z, T ), X, Y )
% 7.19/7.57 }.
% 7.19/7.57 (49086) {G0,W4,D2,L1,V0,M1} { coll( skol27, skol25, skol26 ) }.
% 7.19/7.57 (49087) {G0,W4,D2,L1,V0,M1} { coll( skol27, skol28, skol29 ) }.
% 7.19/7.57 (49088) {G0,W4,D2,L1,V0,M1} { coll( skol31, skol26, skol30 ) }.
% 7.19/7.57 (49089) {G0,W4,D2,L1,V0,M1} { coll( skol31, skol28, skol29 ) }.
% 7.19/7.57 (49090) {G0,W4,D2,L1,V0,M1} { coll( skol32, skol26, skol30 ) }.
% 7.19/7.57 (49091) {G0,W4,D2,L1,V0,M1} { coll( skol32, skol25, skol29 ) }.
% 7.19/7.57 (49092) {G0,W4,D2,L1,V0,M1} { coll( skol33, skol30, skol28 ) }.
% 7.19/7.57 (49093) {G0,W4,D2,L1,V0,M1} { coll( skol33, skol25, skol29 ) }.
% 7.19/7.57 (49094) {G0,W4,D2,L1,V0,M1} { coll( skol34, skol25, skol26 ) }.
% 7.19/7.57 (49095) {G0,W4,D2,L1,V0,M1} { coll( skol34, skol30, skol28 ) }.
% 7.19/7.57 (49096) {G0,W5,D2,L1,V0,M1} { circle( skol35, skol28, skol27, skol34 ) }.
% 7.19/7.57 (49097) {G0,W5,D2,L1,V0,M1} { circle( skol36, skol34, skol33, skol25 ) }.
% 7.19/7.57 (49098) {G0,W5,D2,L1,V0,M1} { circle( skol37, skol33, skol32, skol30 ) }.
% 7.19/7.57 (49099) {G0,W5,D2,L1,V0,M1} { circle( skol38, skol31, skol32, skol29 ) }.
% 7.19/7.57 (49100) {G0,W5,D2,L1,V0,M1} { circle( skol39, skol31, skol26, skol27 ) }.
% 7.19/7.57 (49101) {G0,W5,D2,L1,V0,M1} { circle( skol35, skol28, skol40, skol41 ) }.
% 7.19/7.57 (49102) {G0,W5,D2,L1,V0,M1} { circle( skol39, skol26, skol40, skol42 ) }.
% 7.19/7.57 (49103) {G0,W5,D2,L1,V0,M1} { circle( skol35, skol28, skol20, skol43 ) }.
% 7.19/7.57 (49104) {G0,W5,D2,L1,V0,M1} { circle( skol36, skol25, skol20, skol44 ) }.
% 7.19/7.57 (49105) {G0,W5,D2,L1,V0,M1} { circle( skol36, skol25, skol22, skol45 ) }.
% 7.19/7.57 (49106) {G0,W5,D2,L1,V0,M1} { circle( skol37, skol30, skol22, skol46 ) }.
% 7.19/7.57 (49107) {G0,W5,D2,L1,V0,M1} { circle( skol37, skol30, skol23, skol47 ) }.
% 7.19/7.57 (49108) {G0,W5,D2,L1,V0,M1} { circle( skol38, skol29, skol23, skol48 ) }.
% 7.19/7.57 (49109) {G0,W5,D2,L1,V0,M1} { circle( skol38, skol29, skol24, skol49 ) }.
% 7.19/7.57 (49110) {G0,W5,D2,L1,V0,M1} { circle( skol39, skol26, skol24, skol50 ) }.
% 7.19/7.57 (49111) {G0,W5,D2,L1,V0,M1} { ! cyclic( skol20, skol22, skol23, skol24 )
% 7.19/7.57 }.
% 7.19/7.57
% 7.19/7.57
% 7.19/7.57 Total Proof:
% 7.19/7.57
% 7.19/7.57 subsumption: (0) {G0,W8,D2,L2,V3,M2} I { ! coll( X, Y, Z ), coll( X, Z, Y )
% 7.19/7.57 }.
% 7.19/7.57 parent0: (48969) {G0,W8,D2,L2,V3,M2} { ! coll( X, Y, Z ), coll( X, Z, Y )
% 7.19/7.57 }.
% 7.19/7.57 substitution0:
% 7.19/7.57 X := X
% 7.19/7.57 Y := Y
% 7.19/7.57 Z := Z
% 7.19/7.57 end
% 7.19/7.57 permutation0:
% 7.19/7.57 0 ==> 0
% 7.19/7.57 1 ==> 1
% 7.19/7.57 end
% 7.19/7.57
% 7.19/7.57 subsumption: (1) {G0,W8,D2,L2,V3,M2} I { ! coll( X, Y, Z ), coll( Y, X, Z )
% 7.19/7.57 }.
% 7.19/7.57 parent0: (48970) {G0,W8,D2,L2,V3,M2} { ! coll( X, Y, Z ), coll( Y, X, Z )
% 7.19/7.57 }.
% 7.19/7.57 substitution0:
% 7.19/7.57 X := X
% 7.19/7.57 Y := Y
% 7.19/7.57 Z := Z
% 7.19/7.57 end
% 7.19/7.57 permutation0:
% 7.19/7.57 0 ==> 0
% 7.19/7.57 1 ==> 1
% 7.19/7.57 end
% 7.19/7.57
% 7.19/7.57 subsumption: (2) {G0,W12,D2,L3,V4,M3} I { ! coll( X, T, Y ), ! coll( X, T,
% 7.19/7.57 Z ), coll( Y, Z, X ) }.
% 7.19/7.57 parent0: (48971) {G0,W12,D2,L3,V4,M3} { ! coll( X, T, Y ), ! coll( X, T, Z
% 7.19/7.57 ), coll( Y, Z, X ) }.
% 7.19/7.57 substitution0:
% 7.19/7.57 X := X
% 7.19/7.57 Y := Y
% 7.19/7.57 Z := Z
% 7.19/7.57 T := T
% 7.19/7.57 end
% 7.19/7.57 permutation0:
% 7.19/7.57 0 ==> 0
% 7.19/7.57 1 ==> 1
% 7.19/7.57 2 ==> 2
% 7.19/7.57 end
% 7.19/7.57
% 7.19/7.57 subsumption: (3) {G0,W10,D2,L2,V4,M2} I { ! para( X, Y, Z, T ), para( X, Y
% 7.19/7.57 , T, Z ) }.
% 7.19/7.57 parent0: (48972) {G0,W10,D2,L2,V4,M2} { ! para( X, Y, Z, T ), para( X, Y,
% 7.19/7.57 T, Z ) }.
% 7.19/7.57 substitution0:
% 7.19/7.57 X := X
% 7.19/7.57 Y := Y
% 7.19/7.57 Z := Z
% 7.19/7.57 T := T
% 7.19/7.57 end
% 7.19/7.57 permutation0:
% 7.19/7.57 0 ==> 0
% 7.19/7.57 1 ==> 1
% 7.19/7.57 end
% 7.19/7.57
% 7.19/7.57 subsumption: (4) {G0,W10,D2,L2,V4,M2} I { ! para( X, Y, Z, T ), para( Z, T
% 7.19/7.57 , X, Y ) }.
% 7.19/7.57 parent0: (48973) {G0,W10,D2,L2,V4,M2} { ! para( X, Y, Z, T ), para( Z, T,
% 7.19/7.57 X, Y ) }.
% 7.19/7.57 substitution0:
% 7.19/7.57 X := X
% 7.19/7.57 Y := Y
% 7.19/7.57 Z := Z
% 7.19/7.57 T := T
% 7.19/7.57 end
% 7.19/7.57 permutation0:
% 7.19/7.57 0 ==> 0
% 7.19/7.57 1 ==> 1
% 7.19/7.57 end
% 7.19/7.57
% 7.19/7.57 subsumption: (5) {G0,W15,D2,L3,V6,M3} I { ! para( X, Y, U, W ), ! para( U,
% 7.19/7.57 W, Z, T ), para( X, Y, Z, T ) }.
% 7.19/7.57 parent0: (48974) {G0,W15,D2,L3,V6,M3} { ! para( X, Y, U, W ), ! para( U, W
% 7.19/7.57 , Z, T ), para( X, Y, Z, T ) }.
% 7.19/7.57 substitution0:
% 7.19/7.57 X := X
% 7.19/7.57 Y := Y
% 7.19/7.57 Z := Z
% 7.19/7.57 T := T
% 7.19/7.57 U := U
% 7.19/7.57 W := W
% 7.19/7.57 end
% 7.19/7.57 permutation0:
% 7.19/7.57 0 ==> 0
% 7.19/7.57 1 ==> 1
% 7.19/7.57 2 ==> 2
% 7.19/7.57 end
% 7.19/7.57
% 7.19/7.57 subsumption: (6) {G0,W10,D2,L2,V4,M2} I { ! perp( X, Y, Z, T ), perp( X, Y
% 7.19/7.57 , T, Z ) }.
% 7.19/7.57 parent0: (48975) {G0,W10,D2,L2,V4,M2} { ! perp( X, Y, Z, T ), perp( X, Y,
% 7.19/7.57 T, Z ) }.
% 7.19/7.57 substitution0:
% 7.19/7.57 X := X
% 7.19/7.57 Y := Y
% 7.19/7.57 Z := Z
% 7.19/7.57 T := T
% 7.19/7.57 end
% 7.19/7.57 permutation0:
% 7.19/7.57 0 ==> 0
% 7.19/7.57 1 ==> 1
% 7.19/7.57 end
% 7.19/7.57
% 7.19/7.57 subsumption: (7) {G0,W10,D2,L2,V4,M2} I { ! perp( X, Y, Z, T ), perp( Z, T
% 7.19/7.57 , X, Y ) }.
% 7.19/7.57 parent0: (48976) {G0,W10,D2,L2,V4,M2} { ! perp( X, Y, Z, T ), perp( Z, T,
% 7.19/7.57 X, Y ) }.
% 7.19/7.57 substitution0:
% 7.19/7.57 X := X
% 7.19/7.57 Y := Y
% 7.19/7.57 Z := Z
% 7.19/7.57 T := T
% 7.19/7.57 end
% 7.19/7.57 permutation0:
% 7.19/7.57 0 ==> 0
% 7.19/7.57 1 ==> 1
% 7.19/7.57 end
% 7.19/7.57
% 7.19/7.57 subsumption: (8) {G0,W15,D2,L3,V6,M3} I { ! perp( X, Y, U, W ), ! perp( U,
% 7.19/7.57 W, Z, T ), para( X, Y, Z, T ) }.
% 7.19/7.57 parent0: (48977) {G0,W15,D2,L3,V6,M3} { ! perp( X, Y, U, W ), ! perp( U, W
% 7.19/7.57 , Z, T ), para( X, Y, Z, T ) }.
% 7.19/7.57 substitution0:
% 7.19/7.57 X := X
% 7.19/7.57 Y := Y
% 7.19/7.57 Z := Z
% 7.19/7.57 T := T
% 7.19/7.57 U := U
% 7.19/7.57 W := W
% 7.19/7.57 end
% 7.19/7.57 permutation0:
% 7.19/7.57 0 ==> 0
% 7.19/7.57 1 ==> 1
% 7.19/7.57 2 ==> 2
% 7.19/7.57 end
% 7.19/7.57
% 7.19/7.57 subsumption: (13) {G0,W10,D2,L2,V4,M2} I { ! cyclic( X, Y, Z, T ), cyclic(
% 7.19/7.57 X, Y, T, Z ) }.
% 7.19/7.57 parent0: (48982) {G0,W10,D2,L2,V4,M2} { ! cyclic( X, Y, Z, T ), cyclic( X
% 7.19/7.57 , Y, T, Z ) }.
% 7.19/7.57 substitution0:
% 7.19/7.57 X := X
% 7.19/7.57 Y := Y
% 7.19/7.57 Z := Z
% 7.19/7.57 T := T
% 7.19/7.57 end
% 7.19/7.57 permutation0:
% 7.19/7.57 0 ==> 0
% 7.19/7.57 1 ==> 1
% 7.19/7.57 end
% 7.19/7.57
% 7.19/7.57 subsumption: (14) {G0,W10,D2,L2,V4,M2} I { ! cyclic( X, Y, Z, T ), cyclic(
% 7.19/7.57 X, Z, Y, T ) }.
% 7.19/7.57 parent0: (48983) {G0,W10,D2,L2,V4,M2} { ! cyclic( X, Y, Z, T ), cyclic( X
% 7.19/7.57 , Z, Y, T ) }.
% 7.19/7.57 substitution0:
% 7.19/7.57 X := X
% 7.19/7.57 Y := Y
% 7.19/7.57 Z := Z
% 7.19/7.57 T := T
% 7.19/7.57 end
% 7.19/7.57 permutation0:
% 7.19/7.57 0 ==> 0
% 7.19/7.57 1 ==> 1
% 7.19/7.57 end
% 7.19/7.57
% 7.19/7.57 subsumption: (15) {G0,W10,D2,L2,V4,M2} I { ! cyclic( X, Y, Z, T ), cyclic(
% 7.19/7.57 Y, X, Z, T ) }.
% 7.19/7.57 parent0: (48984) {G0,W10,D2,L2,V4,M2} { ! cyclic( X, Y, Z, T ), cyclic( Y
% 7.19/7.57 , X, Z, T ) }.
% 7.19/7.57 substitution0:
% 7.19/7.57 X := X
% 7.19/7.57 Y := Y
% 7.19/7.57 Z := Z
% 7.19/7.57 T := T
% 7.19/7.57 end
% 7.19/7.57 permutation0:
% 7.19/7.57 0 ==> 0
% 7.19/7.57 1 ==> 1
% 7.19/7.57 end
% 7.19/7.57
% 7.19/7.57 subsumption: (16) {G0,W15,D2,L3,V5,M3} I { ! cyclic( U, X, Y, Z ), ! cyclic
% 7.19/7.57 ( U, X, Y, T ), cyclic( X, Y, Z, T ) }.
% 7.19/7.57 parent0: (48985) {G0,W15,D2,L3,V5,M3} { ! cyclic( U, X, Y, Z ), ! cyclic(
% 7.19/7.57 U, X, Y, T ), cyclic( X, Y, Z, T ) }.
% 7.19/7.57 substitution0:
% 7.19/7.57 X := X
% 7.19/7.57 Y := Y
% 7.19/7.57 Z := Z
% 7.19/7.57 T := T
% 7.19/7.57 U := U
% 7.19/7.57 end
% 7.19/7.57 permutation0:
% 7.19/7.57 0 ==> 0
% 7.19/7.57 1 ==> 1
% 7.19/7.57 2 ==> 2
% 7.19/7.57 end
% 7.19/7.57
% 7.19/7.57 subsumption: (18) {G0,W18,D2,L2,V8,M2} I { ! eqangle( X, Y, Z, T, U, W, V0
% 7.19/7.57 , V1 ), eqangle( Z, T, X, Y, V0, V1, U, W ) }.
% 7.19/7.57 parent0: (48987) {G0,W18,D2,L2,V8,M2} { ! eqangle( X, Y, Z, T, U, W, V0,
% 7.19/7.57 V1 ), eqangle( Z, T, X, Y, V0, V1, U, W ) }.
% 7.19/7.57 substitution0:
% 7.19/7.57 X := X
% 7.19/7.57 Y := Y
% 7.19/7.57 Z := Z
% 7.19/7.57 T := T
% 7.19/7.57 U := U
% 7.19/7.57 W := W
% 7.19/7.57 V0 := V0
% 7.19/7.57 V1 := V1
% 7.19/7.57 end
% 7.19/7.57 permutation0:
% 7.19/7.57 0 ==> 0
% 7.19/7.57 1 ==> 1
% 7.19/7.57 end
% 7.19/7.57
% 7.19/7.57 subsumption: (39) {G0,W14,D2,L2,V6,M2} I { ! para( X, Y, Z, T ), eqangle( X
% 7.19/7.57 , Y, U, W, Z, T, U, W ) }.
% 7.19/7.57 parent0: (49008) {G0,W14,D2,L2,V6,M2} { ! para( X, Y, Z, T ), eqangle( X,
% 7.19/7.57 Y, U, W, Z, T, U, W ) }.
% 7.19/7.57 substitution0:
% 7.19/7.57 X := X
% 7.19/7.57 Y := Y
% 7.19/7.57 Z := Z
% 7.19/7.57 T := T
% 7.19/7.57 U := U
% 7.19/7.57 W := W
% 7.19/7.57 end
% 7.19/7.57 permutation0:
% 7.19/7.57 0 ==> 0
% 7.19/7.57 1 ==> 1
% 7.19/7.57 end
% 7.19/7.57
% 7.19/7.57 subsumption: (42) {G0,W18,D2,L3,V4,M3} I { ! eqangle( Z, X, Z, Y, T, X, T,
% 7.19/7.57 Y ), ! coll( Z, T, Y ), cyclic( X, Y, Z, T ) }.
% 7.19/7.57 parent0: (49011) {G0,W18,D2,L3,V4,M3} { ! eqangle( Z, X, Z, Y, T, X, T, Y
% 7.19/7.57 ), ! coll( Z, T, Y ), cyclic( X, Y, Z, T ) }.
% 7.19/7.57 substitution0:
% 7.19/7.57 X := X
% 7.19/7.57 Y := Y
% 7.19/7.57 Z := Z
% 7.19/7.57 T := T
% 7.19/7.57 end
% 7.19/7.57 permutation0:
% 7.19/7.57 0 ==> 0
% 7.19/7.57 1 ==> 1
% 7.19/7.57 2 ==> 2
% 7.19/7.57 end
% 7.19/7.57
% 7.19/7.57 subsumption: (53) {G0,W14,D2,L3,V4,M3} I { ! circle( T, X, Y, Z ), ! coll(
% 7.19/7.57 T, X, Z ), perp( X, Y, Y, Z ) }.
% 7.19/7.57 parent0: (49022) {G0,W14,D2,L3,V4,M3} { ! circle( T, X, Y, Z ), ! coll( T
% 7.19/7.57 , X, Z ), perp( X, Y, Y, Z ) }.
% 7.19/7.57 substitution0:
% 7.19/7.57 X := X
% 7.19/7.57 Y := Y
% 7.19/7.57 Z := Z
% 7.19/7.57 T := T
% 7.19/7.57 end
% 7.19/7.57 permutation0:
% 7.19/7.57 0 ==> 0
% 7.19/7.57 1 ==> 1
% 7.19/7.57 2 ==> 2
% 7.19/7.57 end
% 7.19/7.57
% 7.19/7.57 subsumption: (96) {G0,W14,D2,L3,V4,M3} I { ! perp( X, T, Y, Z ), ! perp( Y
% 7.19/7.57 , T, X, Z ), alpha1( X, Y, Z ) }.
% 7.19/7.57 parent0: (49066) {G0,W14,D2,L3,V4,M3} { ! perp( X, T, Y, Z ), ! perp( Y, T
% 7.19/7.57 , X, Z ), alpha1( X, Y, Z ) }.
% 7.19/7.57 substitution0:
% 7.19/7.57 X := X
% 7.19/7.57 Y := Y
% 7.19/7.57 Z := Z
% 7.19/7.57 T := T
% 7.19/7.57 end
% 7.19/7.57 permutation0:
% 7.19/7.57 0 ==> 0
% 7.19/7.57 1 ==> 1
% 7.19/7.57 2 ==> 2
% 7.19/7.57 end
% 7.19/7.57
% 7.19/7.57 subsumption: (97) {G0,W11,D3,L2,V4,M2} I { ! alpha1( X, Y, Z ), coll(
% 7.19/7.57 skol11( X, T, Z ), Z, X ) }.
% 7.19/7.57 parent0: (49067) {G0,W11,D3,L2,V4,M2} { ! alpha1( X, Y, Z ), coll( skol11
% 7.19/7.57 ( X, T, Z ), Z, X ) }.
% 7.19/7.57 substitution0:
% 7.19/7.57 X := X
% 7.19/7.57 Y := Y
% 7.19/7.57 Z := Z
% 7.19/7.57 T := T
% 7.19/7.57 end
% 7.19/7.57 permutation0:
% 7.19/7.57 0 ==> 0
% 7.19/7.57 1 ==> 1
% 7.19/7.57 end
% 7.19/7.57
% 7.19/7.57 subsumption: (100) {G0,W12,D3,L2,V4,M2} I { ! circle( Y, X, Z, T ), perp(
% 7.19/7.57 skol12( X, Y ), X, X, Y ) }.
% 7.19/7.57 parent0: (49070) {G0,W12,D3,L2,V4,M2} { ! circle( Y, X, Z, T ), perp(
% 7.19/7.57 skol12( X, Y ), X, X, Y ) }.
% 7.19/7.57 substitution0:
% 7.19/7.57 X := X
% 7.19/7.57 Y := Y
% 7.19/7.57 Z := Z
% 7.19/7.57 T := T
% 7.19/7.57 end
% 7.19/7.57 permutation0:
% 7.19/7.57 0 ==> 0
% 7.19/7.57 1 ==> 1
% 7.19/7.57 end
% 7.19/7.57
% 7.19/7.57 subsumption: (117) {G0,W4,D2,L1,V0,M1} I { coll( skol27, skol28, skol29 )
% 7.19/7.57 }.
% 7.19/7.57 parent0: (49087) {G0,W4,D2,L1,V0,M1} { coll( skol27, skol28, skol29 ) }.
% 7.19/7.57 substitution0:
% 7.19/7.57 end
% 7.19/7.57 permutation0:
% 7.19/7.57 0 ==> 0
% 7.19/7.57 end
% 7.19/7.57
% 7.19/7.57 subsumption: (125) {G0,W4,D2,L1,V0,M1} I { coll( skol34, skol30, skol28 )
% 7.19/7.57 }.
% 7.19/7.57 parent0: (49095) {G0,W4,D2,L1,V0,M1} { coll( skol34, skol30, skol28 ) }.
% 7.19/7.57 substitution0:
% 7.19/7.57 end
% 7.19/7.57 permutation0:
% 7.19/7.57 0 ==> 0
% 7.19/7.57 end
% 7.19/7.57
% 7.19/7.57 subsumption: (126) {G0,W5,D2,L1,V0,M1} I { circle( skol35, skol28, skol27,
% 7.19/7.57 skol34 ) }.
% 7.19/7.57 parent0: (49096) {G0,W5,D2,L1,V0,M1} { circle( skol35, skol28, skol27,
% 7.19/7.57 skol34 ) }.
% 7.19/7.57 substitution0:
% 7.19/7.57 end
% 7.19/7.57 permutation0:
% 7.19/7.57 0 ==> 0
% 7.19/7.57 end
% 7.19/7.57
% 7.19/7.57 subsumption: (141) {G0,W5,D2,L1,V0,M1} I { ! cyclic( skol20, skol22, skol23
% 7.19/7.57 , skol24 ) }.
% 7.19/7.57 parent0: (49111) {G0,W5,D2,L1,V0,M1} { ! cyclic( skol20, skol22, skol23,
% 7.19/7.57 skol24 ) }.
% 7.19/7.57 substitution0:
% 7.19/7.57 end
% 7.19/7.57 permutation0:
% 7.19/7.57 0 ==> 0
% 7.19/7.57 end
% 7.19/7.57
% 7.19/7.57 factor: (49532) {G0,W8,D2,L2,V3,M2} { ! coll( X, Y, Z ), coll( Z, Z, X )
% 7.19/7.57 }.
% 7.19/7.57 parent0[0, 1]: (2) {G0,W12,D2,L3,V4,M3} I { ! coll( X, T, Y ), ! coll( X, T
% 7.19/7.57 , Z ), coll( Y, Z, X ) }.
% 7.19/7.57 substitution0:
% 7.19/7.57 X := X
% 7.19/7.57 Y := Z
% 7.19/7.57 Z := Z
% 7.19/7.57 T := Y
% 7.19/7.57 end
% 7.19/7.57
% 7.19/7.57 subsumption: (142) {G1,W8,D2,L2,V3,M2} F(2) { ! coll( X, Y, Z ), coll( Z, Z
% 7.19/7.57 , X ) }.
% 7.19/7.57 parent0: (49532) {G0,W8,D2,L2,V3,M2} { ! coll( X, Y, Z ), coll( Z, Z, X )
% 7.19/7.57 }.
% 7.19/7.57 substitution0:
% 7.19/7.57 X := X
% 7.19/7.57 Y := Y
% 7.19/7.57 Z := Z
% 7.19/7.57 end
% 7.19/7.57 permutation0:
% 7.19/7.57 0 ==> 0
% 7.19/7.57 1 ==> 1
% 7.19/7.57 end
% 7.19/7.57
% 7.19/7.57 resolution: (49534) {G1,W8,D2,L2,V3,M2} { coll( X, Z, Y ), ! coll( Y, X, Z
% 7.19/7.57 ) }.
% 7.19/7.57 parent0[0]: (0) {G0,W8,D2,L2,V3,M2} I { ! coll( X, Y, Z ), coll( X, Z, Y )
% 7.19/7.57 }.
% 7.19/7.57 parent1[1]: (1) {G0,W8,D2,L2,V3,M2} I { ! coll( X, Y, Z ), coll( Y, X, Z )
% 7.19/7.57 }.
% 7.19/7.57 substitution0:
% 7.19/7.57 X := X
% 7.19/7.57 Y := Y
% 7.19/7.57 Z := Z
% 7.19/7.57 end
% 7.19/7.57 substitution1:
% 7.19/7.57 X := Y
% 7.19/7.57 Y := X
% 7.19/7.57 Z := Z
% 7.19/7.57 end
% 7.19/7.57
% 7.19/7.57 subsumption: (189) {G1,W8,D2,L2,V3,M2} R(1,0) { ! coll( X, Y, Z ), coll( Y
% 7.19/7.57 , Z, X ) }.
% 7.19/7.57 parent0: (49534) {G1,W8,D2,L2,V3,M2} { coll( X, Z, Y ), ! coll( Y, X, Z )
% 7.19/7.57 }.
% 7.19/7.57 substitution0:
% 7.19/7.57 X := Y
% 7.19/7.57 Y := X
% 7.19/7.57 Z := Z
% 7.19/7.57 end
% 7.19/7.57 permutation0:
% 7.19/7.57 0 ==> 1
% 7.19/7.57 1 ==> 0
% 7.19/7.57 end
% 7.19/7.57
% 7.19/7.57 resolution: (49538) {G1,W12,D2,L3,V4,M3} { coll( X, Z, Y ), ! coll( Z, T,
% 7.19/7.57 X ), ! coll( Z, T, Y ) }.
% 7.19/7.57 parent0[0]: (0) {G0,W8,D2,L2,V3,M2} I { ! coll( X, Y, Z ), coll( X, Z, Y )
% 7.19/7.57 }.
% 7.19/7.57 parent1[2]: (2) {G0,W12,D2,L3,V4,M3} I { ! coll( X, T, Y ), ! coll( X, T, Z
% 7.19/7.57 ), coll( Y, Z, X ) }.
% 7.19/7.57 substitution0:
% 7.19/7.57 X := X
% 7.19/7.57 Y := Y
% 7.19/7.57 Z := Z
% 7.19/7.57 end
% 7.19/7.57 substitution1:
% 7.19/7.57 X := Z
% 7.19/7.57 Y := X
% 7.19/7.57 Z := Y
% 7.19/7.57 T := T
% 7.19/7.57 end
% 7.19/7.57
% 7.19/7.57 subsumption: (220) {G1,W12,D2,L3,V4,M3} R(2,0) { ! coll( X, Y, Z ), ! coll
% 7.19/7.57 ( X, Y, T ), coll( Z, X, T ) }.
% 7.19/7.57 parent0: (49538) {G1,W12,D2,L3,V4,M3} { coll( X, Z, Y ), ! coll( Z, T, X )
% 7.19/7.57 , ! coll( Z, T, Y ) }.
% 7.19/7.57 substitution0:
% 7.19/7.57 X := Z
% 7.19/7.57 Y := T
% 7.19/7.57 Z := X
% 7.19/7.57 T := Y
% 7.19/7.57 end
% 7.19/7.57 permutation0:
% 7.19/7.57 0 ==> 2
% 7.19/7.57 1 ==> 0
% 7.19/7.57 2 ==> 1
% 7.19/7.57 end
% 7.19/7.57
% 7.19/7.57 factor: (49540) {G1,W8,D2,L2,V3,M2} { ! coll( X, Y, Z ), coll( Z, X, Z )
% 7.19/7.57 }.
% 7.19/7.57 parent0[0, 1]: (220) {G1,W12,D2,L3,V4,M3} R(2,0) { ! coll( X, Y, Z ), !
% 7.19/7.57 coll( X, Y, T ), coll( Z, X, T ) }.
% 7.19/7.57 substitution0:
% 7.19/7.57 X := X
% 7.19/7.57 Y := Y
% 7.19/7.57 Z := Z
% 7.19/7.57 T := Z
% 7.19/7.57 end
% 7.19/7.57
% 7.19/7.57 subsumption: (231) {G2,W8,D2,L2,V3,M2} F(220) { ! coll( X, Y, Z ), coll( Z
% 7.19/7.57 , X, Z ) }.
% 7.19/7.57 parent0: (49540) {G1,W8,D2,L2,V3,M2} { ! coll( X, Y, Z ), coll( Z, X, Z )
% 7.19/7.57 }.
% 7.19/7.57 substitution0:
% 7.19/7.57 X := X
% 7.19/7.57 Y := Y
% 7.19/7.57 Z := Z
% 7.19/7.57 end
% 7.19/7.57 permutation0:
% 7.19/7.57 0 ==> 0
% 7.19/7.57 1 ==> 1
% 7.19/7.57 end
% 7.19/7.57
% 7.19/7.57 resolution: (49542) {G1,W10,D2,L2,V4,M2} { para( X, Y, T, Z ), ! para( Z,
% 7.19/7.57 T, X, Y ) }.
% 7.19/7.57 parent0[0]: (3) {G0,W10,D2,L2,V4,M2} I { ! para( X, Y, Z, T ), para( X, Y,
% 7.19/7.57 T, Z ) }.
% 7.19/7.57 parent1[1]: (4) {G0,W10,D2,L2,V4,M2} I { ! para( X, Y, Z, T ), para( Z, T,
% 7.19/7.57 X, Y ) }.
% 7.19/7.57 substitution0:
% 7.19/7.57 X := X
% 7.19/7.57 Y := Y
% 7.19/7.57 Z := Z
% 7.19/7.57 T := T
% 7.19/7.57 end
% 7.19/7.57 substitution1:
% 7.19/7.57 X := Z
% 7.19/7.57 Y := T
% 7.19/7.57 Z := X
% 7.19/7.57 T := Y
% 7.19/7.57 end
% 7.19/7.57
% 7.19/7.57 subsumption: (256) {G1,W10,D2,L2,V4,M2} R(4,3) { ! para( X, Y, Z, T ), para
% 7.19/7.57 ( Z, T, Y, X ) }.
% 7.19/7.57 parent0: (49542) {G1,W10,D2,L2,V4,M2} { para( X, Y, T, Z ), ! para( Z, T,
% 7.19/7.57 X, Y ) }.
% 7.19/7.57 substitution0:
% 7.19/7.57 X := Z
% 7.19/7.57 Y := T
% 7.19/7.57 Z := X
% 7.19/7.57 T := Y
% 7.19/7.57 end
% 7.19/7.57 permutation0:
% 7.19/7.57 0 ==> 1
% 7.19/7.57 1 ==> 0
% 7.19/7.57 end
% 7.19/7.57
% 7.19/7.57 resolution: (49543) {G1,W15,D2,L3,V6,M3} { ! para( Z, T, U, W ), para( X,
% 7.19/7.57 Y, U, W ), ! para( Z, T, X, Y ) }.
% 7.19/7.57 parent0[0]: (5) {G0,W15,D2,L3,V6,M3} I { ! para( X, Y, U, W ), ! para( U, W
% 7.19/7.57 , Z, T ), para( X, Y, Z, T ) }.
% 7.19/7.57 parent1[1]: (4) {G0,W10,D2,L2,V4,M2} I { ! para( X, Y, Z, T ), para( Z, T,
% 7.19/7.57 X, Y ) }.
% 7.19/7.57 substitution0:
% 7.19/7.57 X := X
% 7.19/7.57 Y := Y
% 7.19/7.57 Z := U
% 7.19/7.57 T := W
% 7.19/7.57 U := Z
% 7.19/7.57 W := T
% 7.19/7.57 end
% 7.19/7.57 substitution1:
% 7.19/7.57 X := Z
% 7.19/7.57 Y := T
% 7.19/7.57 Z := X
% 7.19/7.57 T := Y
% 7.19/7.57 end
% 7.19/7.57
% 7.19/7.57 subsumption: (266) {G1,W15,D2,L3,V6,M3} R(5,4) { ! para( X, Y, Z, T ), para
% 7.19/7.57 ( U, W, Z, T ), ! para( X, Y, U, W ) }.
% 7.19/7.57 parent0: (49543) {G1,W15,D2,L3,V6,M3} { ! para( Z, T, U, W ), para( X, Y,
% 7.19/7.57 U, W ), ! para( Z, T, X, Y ) }.
% 7.19/7.57 substitution0:
% 7.19/7.57 X := U
% 7.19/7.57 Y := W
% 7.19/7.57 Z := X
% 7.19/7.57 T := Y
% 7.19/7.57 U := Z
% 7.19/7.57 W := T
% 7.19/7.57 end
% 7.19/7.57 permutation0:
% 7.19/7.57 0 ==> 0
% 7.19/7.57 1 ==> 1
% 7.19/7.57 2 ==> 2
% 7.19/7.57 end
% 7.19/7.57
% 7.19/7.57 factor: (49547) {G1,W10,D2,L2,V4,M2} { ! para( X, Y, Z, T ), para( Z, T, Z
% 7.19/7.57 , T ) }.
% 7.19/7.57 parent0[0, 2]: (266) {G1,W15,D2,L3,V6,M3} R(5,4) { ! para( X, Y, Z, T ),
% 7.19/7.57 para( U, W, Z, T ), ! para( X, Y, U, W ) }.
% 7.19/7.57 substitution0:
% 7.19/7.57 X := X
% 7.19/7.57 Y := Y
% 7.19/7.57 Z := Z
% 7.19/7.57 T := T
% 7.19/7.57 U := Z
% 7.19/7.57 W := T
% 7.19/7.57 end
% 7.19/7.57
% 7.19/7.57 subsumption: (272) {G2,W10,D2,L2,V4,M2} F(266) { ! para( X, Y, Z, T ), para
% 7.19/7.57 ( Z, T, Z, T ) }.
% 7.19/7.57 parent0: (49547) {G1,W10,D2,L2,V4,M2} { ! para( X, Y, Z, T ), para( Z, T,
% 7.19/7.57 Z, T ) }.
% 7.19/7.57 substitution0:
% 7.19/7.57 X := X
% 7.19/7.57 Y := Y
% 7.19/7.57 Z := Z
% 7.19/7.57 T := T
% 7.19/7.57 end
% 7.19/7.57 permutation0:
% 7.19/7.57 0 ==> 0
% 7.19/7.57 1 ==> 1
% 7.19/7.57 end
% 7.19/7.57
% 7.19/7.57 resolution: (49549) {G1,W15,D2,L3,V6,M3} { ! perp( X, Y, Z, T ), para( X,
% 7.19/7.57 Y, U, W ), ! perp( U, W, Z, T ) }.
% 7.19/7.57 parent0[1]: (8) {G0,W15,D2,L3,V6,M3} I { ! perp( X, Y, U, W ), ! perp( U, W
% 7.19/7.57 , Z, T ), para( X, Y, Z, T ) }.
% 7.19/7.57 parent1[1]: (7) {G0,W10,D2,L2,V4,M2} I { ! perp( X, Y, Z, T ), perp( Z, T,
% 7.19/7.57 X, Y ) }.
% 7.19/7.57 substitution0:
% 7.19/7.57 X := X
% 7.19/7.57 Y := Y
% 7.19/7.57 Z := U
% 7.19/7.57 T := W
% 7.19/7.57 U := Z
% 7.19/7.57 W := T
% 7.19/7.57 end
% 7.19/7.57 substitution1:
% 7.19/7.57 X := U
% 7.19/7.57 Y := W
% 7.19/7.57 Z := Z
% 7.19/7.57 T := T
% 7.19/7.57 end
% 7.19/7.57
% 7.19/7.57 subsumption: (310) {G1,W15,D2,L3,V6,M3} R(8,7) { ! perp( X, Y, Z, T ), para
% 7.19/7.57 ( X, Y, U, W ), ! perp( U, W, Z, T ) }.
% 7.19/7.57 parent0: (49549) {G1,W15,D2,L3,V6,M3} { ! perp( X, Y, Z, T ), para( X, Y,
% 7.19/7.57 U, W ), ! perp( U, W, Z, T ) }.
% 7.19/7.57 substitution0:
% 7.19/7.57 X := X
% 7.19/7.57 Y := Y
% 7.19/7.57 Z := Z
% 7.19/7.57 T := T
% 7.19/7.57 U := U
% 7.19/7.57 W := W
% 7.19/7.57 end
% 7.19/7.57 permutation0:
% 7.19/7.57 0 ==> 0
% 7.19/7.57 1 ==> 1
% 7.19/7.57 2 ==> 2
% 7.19/7.57 end
% 7.19/7.57
% 7.19/7.57 factor: (49552) {G1,W10,D2,L2,V4,M2} { ! perp( X, Y, Z, T ), para( X, Y, X
% 7.19/7.57 , Y ) }.
% 7.19/7.57 parent0[0, 2]: (310) {G1,W15,D2,L3,V6,M3} R(8,7) { ! perp( X, Y, Z, T ),
% 7.19/7.57 para( X, Y, U, W ), ! perp( U, W, Z, T ) }.
% 7.19/7.57 substitution0:
% 7.19/7.57 X := X
% 7.19/7.57 Y := Y
% 7.19/7.57 Z := Z
% 7.19/7.57 T := T
% 7.19/7.57 U := X
% 7.19/7.57 W := Y
% 7.19/7.57 end
% 7.19/7.57
% 7.19/7.57 subsumption: (318) {G2,W10,D2,L2,V4,M2} F(310) { ! perp( X, Y, Z, T ), para
% 7.19/7.57 ( X, Y, X, Y ) }.
% 7.19/7.57 parent0: (49552) {G1,W10,D2,L2,V4,M2} { ! perp( X, Y, Z, T ), para( X, Y,
% 7.19/7.57 X, Y ) }.
% 7.19/7.57 substitution0:
% 7.19/7.57 X := X
% 7.19/7.57 Y := Y
% 7.19/7.57 Z := Z
% 7.19/7.57 T := T
% 7.19/7.57 end
% 7.19/7.57 permutation0:
% 7.19/7.57 0 ==> 0
% 7.19/7.57 1 ==> 1
% 7.19/7.57 end
% 7.19/7.57
% 7.19/7.57 resolution: (49553) {G1,W4,D2,L1,V0,M1} { coll( skol28, skol27, skol29 )
% 7.19/7.57 }.
% 7.19/7.57 parent0[0]: (1) {G0,W8,D2,L2,V3,M2} I { ! coll( X, Y, Z ), coll( Y, X, Z )
% 7.19/7.57 }.
% 7.19/7.57 parent1[0]: (117) {G0,W4,D2,L1,V0,M1} I { coll( skol27, skol28, skol29 )
% 7.19/7.57 }.
% 7.19/7.57 substitution0:
% 7.19/7.57 X := skol27
% 7.19/7.57 Y := skol28
% 7.19/7.57 Z := skol29
% 7.19/7.57 end
% 7.19/7.57 substitution1:
% 7.19/7.57 end
% 7.19/7.57
% 7.19/7.57 subsumption: (360) {G1,W4,D2,L1,V0,M1} R(117,1) { coll( skol28, skol27,
% 7.19/7.57 skol29 ) }.
% 7.19/7.57 parent0: (49553) {G1,W4,D2,L1,V0,M1} { coll( skol28, skol27, skol29 ) }.
% 7.19/7.57 substitution0:
% 7.19/7.57 end
% 7.19/7.57 permutation0:
% 7.19/7.57 0 ==> 0
% 7.19/7.57 end
% 7.19/7.57
% 7.19/7.57 resolution: (49554) {G1,W4,D2,L1,V0,M1} { coll( skol28, skol29, skol27 )
% 7.19/7.57 }.
% 7.19/7.57 parent0[0]: (0) {G0,W8,D2,L2,V3,M2} I { ! coll( X, Y, Z ), coll( X, Z, Y )
% 7.19/7.57 }.
% 7.19/7.57 parent1[0]: (360) {G1,W4,D2,L1,V0,M1} R(117,1) { coll( skol28, skol27,
% 7.19/7.57 skol29 ) }.
% 7.19/7.57 substitution0:
% 7.19/7.57 X := skol28
% 7.19/7.57 Y := skol27
% 7.19/7.57 Z := skol29
% 7.19/7.57 end
% 7.19/7.57 substitution1:
% 7.19/7.57 end
% 7.19/7.57
% 7.19/7.57 subsumption: (364) {G2,W4,D2,L1,V0,M1} R(360,0) { coll( skol28, skol29,
% 7.19/7.57 skol27 ) }.
% 7.19/7.57 parent0: (49554) {G1,W4,D2,L1,V0,M1} { coll( skol28, skol29, skol27 ) }.
% 7.19/7.57 substitution0:
% 7.19/7.57 end
% 7.19/7.57 permutation0:
% 7.19/7.57 0 ==> 0
% 7.19/7.57 end
% 7.19/7.57
% 7.19/7.57 resolution: (49555) {G1,W5,D2,L1,V0,M1} { ! cyclic( skol20, skol23, skol22
% 7.19/7.57 , skol24 ) }.
% 7.19/7.57 parent0[0]: (141) {G0,W5,D2,L1,V0,M1} I { ! cyclic( skol20, skol22, skol23
% 7.19/7.57 , skol24 ) }.
% 7.19/7.57 parent1[1]: (14) {G0,W10,D2,L2,V4,M2} I { ! cyclic( X, Y, Z, T ), cyclic( X
% 7.19/7.57 , Z, Y, T ) }.
% 7.19/7.57 substitution0:
% 7.19/7.57 end
% 7.19/7.57 substitution1:
% 7.19/7.57 X := skol20
% 7.19/7.57 Y := skol23
% 7.19/7.57 Z := skol22
% 7.19/7.57 T := skol24
% 7.19/7.57 end
% 7.19/7.57
% 7.19/7.57 subsumption: (394) {G1,W5,D2,L1,V0,M1} R(14,141) { ! cyclic( skol20, skol23
% 7.19/7.57 , skol22, skol24 ) }.
% 7.19/7.57 parent0: (49555) {G1,W5,D2,L1,V0,M1} { ! cyclic( skol20, skol23, skol22,
% 7.19/7.57 skol24 ) }.
% 7.19/7.57 substitution0:
% 7.19/7.57 end
% 7.19/7.57 permutation0:
% 7.19/7.57 0 ==> 0
% 7.19/7.57 end
% 7.19/7.57
% 7.19/7.57 resolution: (49557) {G1,W10,D2,L2,V4,M2} { cyclic( X, Y, T, Z ), ! cyclic
% 7.19/7.57 ( X, Z, Y, T ) }.
% 7.19/7.57 parent0[0]: (13) {G0,W10,D2,L2,V4,M2} I { ! cyclic( X, Y, Z, T ), cyclic( X
% 7.19/7.57 , Y, T, Z ) }.
% 7.19/7.57 parent1[1]: (14) {G0,W10,D2,L2,V4,M2} I { ! cyclic( X, Y, Z, T ), cyclic( X
% 7.19/7.57 , Z, Y, T ) }.
% 7.19/7.57 substitution0:
% 7.19/7.57 X := X
% 7.19/7.57 Y := Y
% 7.19/7.57 Z := Z
% 7.19/7.57 T := T
% 7.19/7.57 end
% 7.19/7.57 substitution1:
% 7.19/7.57 X := X
% 7.19/7.57 Y := Z
% 7.19/7.57 Z := Y
% 7.19/7.57 T := T
% 7.19/7.57 end
% 7.19/7.57
% 7.19/7.57 subsumption: (396) {G1,W10,D2,L2,V4,M2} R(14,13) { ! cyclic( X, Y, Z, T ),
% 7.19/7.57 cyclic( X, Z, T, Y ) }.
% 7.19/7.57 parent0: (49557) {G1,W10,D2,L2,V4,M2} { cyclic( X, Y, T, Z ), ! cyclic( X
% 7.19/7.57 , Z, Y, T ) }.
% 7.19/7.57 substitution0:
% 7.19/7.57 X := X
% 7.19/7.57 Y := Z
% 7.19/7.57 Z := Y
% 7.19/7.57 T := T
% 7.19/7.57 end
% 7.19/7.57 permutation0:
% 7.19/7.57 0 ==> 1
% 7.19/7.57 1 ==> 0
% 7.19/7.57 end
% 7.19/7.57
% 7.19/7.57 resolution: (49558) {G1,W5,D2,L1,V0,M1} { ! cyclic( skol20, skol23, skol24
% 7.19/7.57 , skol22 ) }.
% 7.19/7.57 parent0[0]: (394) {G1,W5,D2,L1,V0,M1} R(14,141) { ! cyclic( skol20, skol23
% 7.19/7.57 , skol22, skol24 ) }.
% 7.19/7.57 parent1[1]: (13) {G0,W10,D2,L2,V4,M2} I { ! cyclic( X, Y, Z, T ), cyclic( X
% 7.19/7.57 , Y, T, Z ) }.
% 7.19/7.57 substitution0:
% 7.19/7.57 end
% 7.19/7.57 substitution1:
% 7.19/7.57 X := skol20
% 7.19/7.57 Y := skol23
% 7.19/7.57 Z := skol24
% 7.19/7.57 T := skol22
% 7.19/7.57 end
% 7.19/7.57
% 7.19/7.57 subsumption: (397) {G2,W5,D2,L1,V0,M1} R(394,13) { ! cyclic( skol20, skol23
% 7.19/7.57 , skol24, skol22 ) }.
% 7.19/7.57 parent0: (49558) {G1,W5,D2,L1,V0,M1} { ! cyclic( skol20, skol23, skol24,
% 7.19/7.57 skol22 ) }.
% 7.19/7.57 substitution0:
% 7.19/7.57 end
% 7.19/7.57 permutation0:
% 7.19/7.57 0 ==> 0
% 7.19/7.57 end
% 7.19/7.57
% 7.19/7.57 resolution: (49559) {G1,W5,D2,L1,V0,M1} { ! cyclic( skol23, skol20, skol24
% 7.19/7.57 , skol22 ) }.
% 7.19/7.57 parent0[0]: (397) {G2,W5,D2,L1,V0,M1} R(394,13) { ! cyclic( skol20, skol23
% 7.19/7.57 , skol24, skol22 ) }.
% 7.19/7.57 parent1[1]: (15) {G0,W10,D2,L2,V4,M2} I { ! cyclic( X, Y, Z, T ), cyclic( Y
% 7.19/7.57 , X, Z, T ) }.
% 7.19/7.57 substitution0:
% 7.19/7.57 end
% 7.19/7.57 substitution1:
% 7.19/7.57 X := skol23
% 7.19/7.57 Y := skol20
% 7.19/7.57 Z := skol24
% 7.19/7.57 T := skol22
% 7.19/7.57 end
% 7.19/7.57
% 7.19/7.57 subsumption: (402) {G3,W5,D2,L1,V0,M1} R(15,397) { ! cyclic( skol23, skol20
% 7.19/7.57 , skol24, skol22 ) }.
% 7.19/7.57 parent0: (49559) {G1,W5,D2,L1,V0,M1} { ! cyclic( skol23, skol20, skol24,
% 7.19/7.57 skol22 ) }.
% 7.19/7.57 substitution0:
% 7.19/7.57 end
% 7.19/7.57 permutation0:
% 7.19/7.57 0 ==> 0
% 7.19/7.57 end
% 7.19/7.57
% 7.19/7.57 resolution: (49560) {G1,W10,D2,L2,V4,M2} { cyclic( Y, X, Z, T ), ! cyclic
% 7.19/7.57 ( X, Z, Y, T ) }.
% 7.19/7.57 parent0[0]: (15) {G0,W10,D2,L2,V4,M2} I { ! cyclic( X, Y, Z, T ), cyclic( Y
% 7.19/7.57 , X, Z, T ) }.
% 7.19/7.57 parent1[1]: (14) {G0,W10,D2,L2,V4,M2} I { ! cyclic( X, Y, Z, T ), cyclic( X
% 7.19/7.57 , Z, Y, T ) }.
% 7.19/7.57 substitution0:
% 7.19/7.57 X := X
% 7.19/7.57 Y := Y
% 7.19/7.57 Z := Z
% 7.19/7.57 T := T
% 7.19/7.57 end
% 7.19/7.57 substitution1:
% 7.19/7.57 X := X
% 7.19/7.57 Y := Z
% 7.19/7.57 Z := Y
% 7.19/7.57 T := T
% 7.19/7.57 end
% 7.19/7.57
% 7.19/7.57 subsumption: (404) {G1,W10,D2,L2,V4,M2} R(15,14) { cyclic( X, Y, Z, T ), !
% 7.19/7.57 cyclic( Y, Z, X, T ) }.
% 7.19/7.57 parent0: (49560) {G1,W10,D2,L2,V4,M2} { cyclic( Y, X, Z, T ), ! cyclic( X
% 7.19/7.57 , Z, Y, T ) }.
% 7.19/7.57 substitution0:
% 7.19/7.57 X := Y
% 7.19/7.57 Y := X
% 7.19/7.57 Z := Z
% 7.19/7.57 T := T
% 7.19/7.57 end
% 7.19/7.57 permutation0:
% 7.19/7.57 0 ==> 0
% 7.19/7.57 1 ==> 1
% 7.19/7.57 end
% 7.19/7.57
% 7.19/7.57 resolution: (49561) {G1,W10,D2,L2,V4,M2} { cyclic( Y, X, Z, T ), ! cyclic
% 7.19/7.57 ( X, Y, T, Z ) }.
% 7.19/7.57 parent0[0]: (15) {G0,W10,D2,L2,V4,M2} I { ! cyclic( X, Y, Z, T ), cyclic( Y
% 7.19/7.57 , X, Z, T ) }.
% 7.19/7.57 parent1[1]: (13) {G0,W10,D2,L2,V4,M2} I { ! cyclic( X, Y, Z, T ), cyclic( X
% 7.19/7.57 , Y, T, Z ) }.
% 7.19/7.57 substitution0:
% 7.19/7.57 X := X
% 7.19/7.57 Y := Y
% 7.19/7.57 Z := Z
% 7.19/7.57 T := T
% 7.19/7.57 end
% 7.19/7.57 substitution1:
% 7.19/7.57 X := X
% 7.19/7.57 Y := Y
% 7.19/7.57 Z := T
% 7.19/7.57 T := Z
% 7.19/7.57 end
% 7.19/7.57
% 7.19/7.57 subsumption: (407) {G1,W10,D2,L2,V4,M2} R(15,13) { cyclic( X, Y, Z, T ), !
% 7.19/7.57 cyclic( Y, X, T, Z ) }.
% 7.19/7.57 parent0: (49561) {G1,W10,D2,L2,V4,M2} { cyclic( Y, X, Z, T ), ! cyclic( X
% 7.19/7.57 , Y, T, Z ) }.
% 7.19/7.57 substitution0:
% 7.19/7.57 X := Y
% 7.19/7.57 Y := X
% 7.19/7.57 Z := Z
% 7.19/7.57 T := T
% 7.19/7.57 end
% 7.19/7.57 permutation0:
% 7.19/7.57 0 ==> 0
% 7.19/7.57 1 ==> 1
% 7.19/7.57 end
% 7.19/7.57
% 7.19/7.57 resolution: (49565) {G1,W15,D2,L3,V5,M3} { cyclic( Y, X, Z, T ), ! cyclic
% 7.19/7.57 ( U, X, Y, Z ), ! cyclic( U, X, Y, T ) }.
% 7.19/7.57 parent0[0]: (15) {G0,W10,D2,L2,V4,M2} I { ! cyclic( X, Y, Z, T ), cyclic( Y
% 7.19/7.57 , X, Z, T ) }.
% 7.19/7.57 parent1[2]: (16) {G0,W15,D2,L3,V5,M3} I { ! cyclic( U, X, Y, Z ), ! cyclic
% 7.19/7.57 ( U, X, Y, T ), cyclic( X, Y, Z, T ) }.
% 7.19/7.57 substitution0:
% 7.19/7.57 X := X
% 7.19/7.57 Y := Y
% 7.19/7.57 Z := Z
% 7.19/7.57 T := T
% 7.19/7.57 end
% 7.19/7.57 substitution1:
% 7.19/7.57 X := X
% 7.19/7.57 Y := Y
% 7.19/7.57 Z := Z
% 7.19/7.57 T := T
% 7.19/7.57 U := U
% 7.19/7.57 end
% 7.19/7.57
% 7.19/7.57 subsumption: (428) {G1,W15,D2,L3,V5,M3} R(16,15) { ! cyclic( X, Y, Z, T ),
% 7.19/7.57 ! cyclic( X, Y, Z, U ), cyclic( Z, Y, T, U ) }.
% 7.19/7.57 parent0: (49565) {G1,W15,D2,L3,V5,M3} { cyclic( Y, X, Z, T ), ! cyclic( U
% 7.19/7.57 , X, Y, Z ), ! cyclic( U, X, Y, T ) }.
% 7.19/7.57 substitution0:
% 7.19/7.57 X := Y
% 7.19/7.57 Y := Z
% 7.19/7.57 Z := T
% 7.19/7.57 T := U
% 7.19/7.57 U := X
% 7.19/7.57 end
% 7.19/7.57 permutation0:
% 7.19/7.57 0 ==> 2
% 7.19/7.57 1 ==> 0
% 7.19/7.57 2 ==> 1
% 7.19/7.57 end
% 7.19/7.57
% 7.19/7.57 resolution: (49568) {G1,W15,D2,L3,V5,M3} { ! cyclic( X, Y, Z, T ), cyclic
% 7.19/7.57 ( Y, Z, T, U ), ! cyclic( X, Y, U, Z ) }.
% 7.19/7.57 parent0[1]: (16) {G0,W15,D2,L3,V5,M3} I { ! cyclic( U, X, Y, Z ), ! cyclic
% 7.19/7.57 ( U, X, Y, T ), cyclic( X, Y, Z, T ) }.
% 7.19/7.57 parent1[1]: (13) {G0,W10,D2,L2,V4,M2} I { ! cyclic( X, Y, Z, T ), cyclic( X
% 7.19/7.57 , Y, T, Z ) }.
% 7.19/7.57 substitution0:
% 7.19/7.57 X := Y
% 7.19/7.57 Y := Z
% 7.19/7.57 Z := T
% 7.19/7.57 T := U
% 7.19/7.57 U := X
% 7.19/7.57 end
% 7.19/7.57 substitution1:
% 7.19/7.57 X := X
% 7.19/7.57 Y := Y
% 7.19/7.57 Z := U
% 7.19/7.57 T := Z
% 7.19/7.57 end
% 7.19/7.57
% 7.19/7.57 subsumption: (436) {G1,W15,D2,L3,V5,M3} R(16,13) { ! cyclic( X, Y, Z, T ),
% 7.19/7.57 cyclic( Y, Z, T, U ), ! cyclic( X, Y, U, Z ) }.
% 7.19/7.57 parent0: (49568) {G1,W15,D2,L3,V5,M3} { ! cyclic( X, Y, Z, T ), cyclic( Y
% 7.19/7.57 , Z, T, U ), ! cyclic( X, Y, U, Z ) }.
% 7.19/7.57 substitution0:
% 7.19/7.57 X := X
% 7.19/7.57 Y := Y
% 7.19/7.57 Z := Z
% 7.19/7.57 T := T
% 7.19/7.57 U := U
% 7.19/7.57 end
% 7.19/7.57 permutation0:
% 7.19/7.57 0 ==> 0
% 7.19/7.57 1 ==> 1
% 7.19/7.57 2 ==> 2
% 7.19/7.57 end
% 7.19/7.57
% 7.19/7.57 factor: (49570) {G1,W10,D2,L2,V4,M2} { ! cyclic( X, Y, Z, T ), cyclic( Z,
% 7.19/7.57 Y, T, T ) }.
% 7.19/7.57 parent0[0, 1]: (428) {G1,W15,D2,L3,V5,M3} R(16,15) { ! cyclic( X, Y, Z, T )
% 7.19/7.57 , ! cyclic( X, Y, Z, U ), cyclic( Z, Y, T, U ) }.
% 7.19/7.57 substitution0:
% 7.19/7.57 X := X
% 7.19/7.57 Y := Y
% 7.19/7.57 Z := Z
% 7.19/7.57 T := T
% 7.19/7.57 U := T
% 7.19/7.57 end
% 7.19/7.57
% 7.19/7.57 subsumption: (440) {G2,W10,D2,L2,V4,M2} F(428) { ! cyclic( X, Y, Z, T ),
% 7.19/7.57 cyclic( Z, Y, T, T ) }.
% 7.19/7.57 parent0: (49570) {G1,W10,D2,L2,V4,M2} { ! cyclic( X, Y, Z, T ), cyclic( Z
% 7.19/7.57 , Y, T, T ) }.
% 7.19/7.57 substitution0:
% 7.19/7.57 X := X
% 7.19/7.57 Y := Y
% 7.19/7.57 Z := Z
% 7.19/7.57 T := T
% 7.19/7.57 end
% 7.19/7.57 permutation0:
% 7.19/7.57 0 ==> 0
% 7.19/7.57 1 ==> 1
% 7.19/7.57 end
% 7.19/7.57
% 7.19/7.57 resolution: (49571) {G1,W10,D2,L2,V1,M2} { ! cyclic( X, skol23, skol20,
% 7.19/7.57 skol24 ), ! cyclic( X, skol23, skol20, skol22 ) }.
% 7.19/7.57 parent0[0]: (402) {G3,W5,D2,L1,V0,M1} R(15,397) { ! cyclic( skol23, skol20
% 7.19/7.57 , skol24, skol22 ) }.
% 7.19/7.57 parent1[2]: (16) {G0,W15,D2,L3,V5,M3} I { ! cyclic( U, X, Y, Z ), ! cyclic
% 7.19/7.57 ( U, X, Y, T ), cyclic( X, Y, Z, T ) }.
% 7.19/7.57 substitution0:
% 7.19/7.57 end
% 7.19/7.57 substitution1:
% 7.19/7.57 X := skol23
% 7.19/7.57 Y := skol20
% 7.19/7.57 Z := skol24
% 7.19/7.57 T := skol22
% 7.19/7.57 U := X
% 7.19/7.57 end
% 7.19/7.57
% 7.19/7.57 subsumption: (458) {G4,W10,D2,L2,V1,M2} R(402,16) { ! cyclic( X, skol23,
% 7.19/7.57 skol20, skol24 ), ! cyclic( X, skol23, skol20, skol22 ) }.
% 7.19/7.57 parent0: (49571) {G1,W10,D2,L2,V1,M2} { ! cyclic( X, skol23, skol20,
% 7.19/7.57 skol24 ), ! cyclic( X, skol23, skol20, skol22 ) }.
% 7.19/7.57 substitution0:
% 7.19/7.57 X := X
% 7.19/7.57 end
% 7.19/7.57 permutation0:
% 7.19/7.57 0 ==> 0
% 7.19/7.57 1 ==> 1
% 7.19/7.57 end
% 7.19/7.57
% 7.19/7.57 resolution: (49572) {G3,W4,D2,L1,V0,M1} { coll( skol27, skol28, skol27 )
% 7.19/7.57 }.
% 7.19/7.57 parent0[0]: (231) {G2,W8,D2,L2,V3,M2} F(220) { ! coll( X, Y, Z ), coll( Z,
% 7.19/7.57 X, Z ) }.
% 7.19/7.57 parent1[0]: (364) {G2,W4,D2,L1,V0,M1} R(360,0) { coll( skol28, skol29,
% 7.19/7.57 skol27 ) }.
% 7.19/7.57 substitution0:
% 7.19/7.57 X := skol28
% 7.19/7.57 Y := skol29
% 7.19/7.57 Z := skol27
% 7.19/7.57 end
% 7.19/7.57 substitution1:
% 7.19/7.57 end
% 7.19/7.57
% 7.19/7.57 subsumption: (505) {G3,W4,D2,L1,V0,M1} R(231,364) { coll( skol27, skol28,
% 7.19/7.57 skol27 ) }.
% 7.19/7.57 parent0: (49572) {G3,W4,D2,L1,V0,M1} { coll( skol27, skol28, skol27 ) }.
% 7.19/7.57 substitution0:
% 7.19/7.57 end
% 7.19/7.57 permutation0:
% 7.19/7.57 0 ==> 0
% 7.19/7.57 end
% 7.19/7.57
% 7.19/7.57 resolution: (49573) {G1,W12,D2,L3,V4,M3} { coll( Z, X, Z ), ! coll( Z, T,
% 7.19/7.57 X ), ! coll( Z, T, Y ) }.
% 7.19/7.57 parent0[0]: (231) {G2,W8,D2,L2,V3,M2} F(220) { ! coll( X, Y, Z ), coll( Z,
% 7.19/7.57 X, Z ) }.
% 7.19/7.57 parent1[2]: (2) {G0,W12,D2,L3,V4,M3} I { ! coll( X, T, Y ), ! coll( X, T, Z
% 7.19/7.57 ), coll( Y, Z, X ) }.
% 7.19/7.57 substitution0:
% 7.19/7.57 X := X
% 7.19/7.57 Y := Y
% 7.19/7.57 Z := Z
% 7.19/7.57 end
% 7.19/7.57 substitution1:
% 7.19/7.57 X := Z
% 7.19/7.57 Y := X
% 7.19/7.57 Z := Y
% 7.19/7.57 T := T
% 7.19/7.57 end
% 7.19/7.57
% 7.19/7.57 subsumption: (535) {G3,W12,D2,L3,V4,M3} R(231,2) { coll( X, Y, X ), ! coll
% 7.19/7.57 ( X, Z, Y ), ! coll( X, Z, T ) }.
% 7.19/7.57 parent0: (49573) {G1,W12,D2,L3,V4,M3} { coll( Z, X, Z ), ! coll( Z, T, X )
% 7.19/7.57 , ! coll( Z, T, Y ) }.
% 7.19/7.57 substitution0:
% 7.19/7.57 X := Y
% 7.19/7.57 Y := Y
% 7.19/7.57 Z := X
% 7.19/7.57 T := Z
% 7.19/7.57 end
% 7.19/7.57 permutation0:
% 7.19/7.57 0 ==> 0
% 7.19/7.57 1 ==> 1
% 7.19/7.57 2 ==> 1
% 7.19/7.57 end
% 7.19/7.57
% 7.19/7.57 resolution: (49575) {G1,W4,D2,L1,V0,M1} { coll( skol28, skol34, skol28 )
% 7.19/7.57 }.
% 7.19/7.57 parent0[0]: (231) {G2,W8,D2,L2,V3,M2} F(220) { ! coll( X, Y, Z ), coll( Z,
% 7.19/7.57 X, Z ) }.
% 7.19/7.57 parent1[0]: (125) {G0,W4,D2,L1,V0,M1} I { coll( skol34, skol30, skol28 )
% 7.19/7.57 }.
% 7.19/7.57 substitution0:
% 7.19/7.57 X := skol34
% 7.19/7.57 Y := skol30
% 7.19/7.57 Z := skol28
% 7.19/7.57 end
% 7.19/7.57 substitution1:
% 7.19/7.57 end
% 7.19/7.57
% 7.19/7.57 subsumption: (550) {G3,W4,D2,L1,V0,M1} R(231,125) { coll( skol28, skol34,
% 7.19/7.57 skol28 ) }.
% 7.19/7.57 parent0: (49575) {G1,W4,D2,L1,V0,M1} { coll( skol28, skol34, skol28 ) }.
% 7.19/7.57 substitution0:
% 7.19/7.57 end
% 7.19/7.57 permutation0:
% 7.19/7.57 0 ==> 0
% 7.19/7.57 end
% 7.19/7.57
% 7.19/7.57 factor: (49576) {G3,W8,D2,L2,V3,M2} { coll( X, Y, X ), ! coll( X, Z, Y )
% 7.19/7.57 }.
% 7.19/7.57 parent0[1, 2]: (535) {G3,W12,D2,L3,V4,M3} R(231,2) { coll( X, Y, X ), !
% 7.19/7.57 coll( X, Z, Y ), ! coll( X, Z, T ) }.
% 7.19/7.57 substitution0:
% 7.19/7.57 X := X
% 7.19/7.57 Y := Y
% 7.19/7.57 Z := Z
% 7.19/7.57 T := Y
% 7.19/7.57 end
% 7.19/7.57
% 7.19/7.57 subsumption: (551) {G4,W8,D2,L2,V3,M2} F(535) { coll( X, Y, X ), ! coll( X
% 7.19/7.57 , Z, Y ) }.
% 7.19/7.57 parent0: (49576) {G3,W8,D2,L2,V3,M2} { coll( X, Y, X ), ! coll( X, Z, Y )
% 7.19/7.57 }.
% 7.19/7.57 substitution0:
% 7.19/7.57 X := X
% 7.19/7.57 Y := Y
% 7.19/7.57 Z := Z
% 7.19/7.57 end
% 7.19/7.57 permutation0:
% 7.19/7.57 0 ==> 0
% 7.19/7.57 1 ==> 1
% 7.19/7.57 end
% 7.19/7.57
% 7.19/7.57 resolution: (49577) {G1,W4,D2,L1,V0,M1} { coll( skol27, skol27, skol28 )
% 7.19/7.57 }.
% 7.19/7.57 parent0[0]: (0) {G0,W8,D2,L2,V3,M2} I { ! coll( X, Y, Z ), coll( X, Z, Y )
% 7.19/7.57 }.
% 7.19/7.57 parent1[0]: (505) {G3,W4,D2,L1,V0,M1} R(231,364) { coll( skol27, skol28,
% 7.19/7.57 skol27 ) }.
% 7.19/7.57 substitution0:
% 7.19/7.57 X := skol27
% 7.19/7.57 Y := skol28
% 7.19/7.57 Z := skol27
% 7.19/7.57 end
% 7.19/7.57 substitution1:
% 7.19/7.57 end
% 7.19/7.57
% 7.19/7.57 subsumption: (649) {G4,W4,D2,L1,V0,M1} R(505,0) { coll( skol27, skol27,
% 7.19/7.57 skol28 ) }.
% 7.19/7.57 parent0: (49577) {G1,W4,D2,L1,V0,M1} { coll( skol27, skol27, skol28 ) }.
% 7.19/7.57 substitution0:
% 7.19/7.57 end
% 7.19/7.57 permutation0:
% 7.19/7.57 0 ==> 0
% 7.19/7.57 end
% 7.19/7.57
% 7.19/7.57 resolution: (49578) {G1,W14,D2,L2,V6,M2} { eqangle( Z, T, X, Y, Z, T, U, W
% 7.19/7.57 ), ! para( X, Y, U, W ) }.
% 7.19/7.57 parent0[0]: (18) {G0,W18,D2,L2,V8,M2} I { ! eqangle( X, Y, Z, T, U, W, V0,
% 7.19/7.57 V1 ), eqangle( Z, T, X, Y, V0, V1, U, W ) }.
% 7.19/7.57 parent1[1]: (39) {G0,W14,D2,L2,V6,M2} I { ! para( X, Y, Z, T ), eqangle( X
% 7.19/7.57 , Y, U, W, Z, T, U, W ) }.
% 7.19/7.57 substitution0:
% 7.19/7.57 X := X
% 7.19/7.57 Y := Y
% 7.19/7.57 Z := Z
% 7.19/7.57 T := T
% 7.19/7.57 U := U
% 7.19/7.57 W := W
% 7.19/7.57 V0 := Z
% 7.19/7.57 V1 := T
% 7.19/7.57 end
% 7.19/7.57 substitution1:
% 7.19/7.57 X := X
% 7.19/7.57 Y := Y
% 7.19/7.57 Z := U
% 7.19/7.57 T := W
% 7.19/7.57 U := Z
% 7.19/7.57 W := T
% 7.19/7.57 end
% 7.19/7.57
% 7.19/7.57 subsumption: (756) {G1,W14,D2,L2,V6,M2} R(39,18) { ! para( X, Y, Z, T ),
% 7.19/7.57 eqangle( U, W, X, Y, U, W, Z, T ) }.
% 7.19/7.57 parent0: (49578) {G1,W14,D2,L2,V6,M2} { eqangle( Z, T, X, Y, Z, T, U, W )
% 7.19/7.57 , ! para( X, Y, U, W ) }.
% 7.19/7.57 substitution0:
% 7.19/7.57 X := X
% 7.19/7.57 Y := Y
% 7.19/7.57 Z := U
% 7.19/7.57 T := W
% 7.19/7.57 U := Z
% 7.19/7.57 W := T
% 7.19/7.57 end
% 7.19/7.57 permutation0:
% 7.19/7.57 0 ==> 1
% 7.19/7.57 1 ==> 0
% 7.19/7.57 end
% 7.19/7.57
% 7.19/7.57 resolution: (49579) {G1,W14,D2,L2,V1,M2} { ! eqangle( skol27, X, skol27,
% 7.19/7.57 skol28, skol27, X, skol27, skol28 ), cyclic( X, skol28, skol27, skol27 )
% 7.19/7.57 }.
% 7.19/7.57 parent0[1]: (42) {G0,W18,D2,L3,V4,M3} I { ! eqangle( Z, X, Z, Y, T, X, T, Y
% 7.19/7.57 ), ! coll( Z, T, Y ), cyclic( X, Y, Z, T ) }.
% 7.19/7.57 parent1[0]: (649) {G4,W4,D2,L1,V0,M1} R(505,0) { coll( skol27, skol27,
% 7.19/7.57 skol28 ) }.
% 7.19/7.57 substitution0:
% 7.19/7.57 X := X
% 7.19/7.57 Y := skol28
% 7.19/7.57 Z := skol27
% 7.19/7.57 T := skol27
% 7.19/7.57 end
% 7.19/7.57 substitution1:
% 7.19/7.57 end
% 7.19/7.57
% 7.19/7.57 subsumption: (877) {G5,W14,D2,L2,V1,M2} R(42,649) { ! eqangle( skol27, X,
% 7.19/7.57 skol27, skol28, skol27, X, skol27, skol28 ), cyclic( X, skol28, skol27,
% 7.19/7.57 skol27 ) }.
% 7.19/7.57 parent0: (49579) {G1,W14,D2,L2,V1,M2} { ! eqangle( skol27, X, skol27,
% 7.19/7.57 skol28, skol27, X, skol27, skol28 ), cyclic( X, skol28, skol27, skol27 )
% 7.19/7.57 }.
% 7.19/7.57 substitution0:
% 7.19/7.57 X := X
% 7.19/7.57 end
% 7.19/7.57 permutation0:
% 7.19/7.57 0 ==> 0
% 7.19/7.57 1 ==> 1
% 7.19/7.57 end
% 7.19/7.57
% 7.19/7.57 resolution: (49580) {G1,W9,D2,L2,V0,M2} { ! coll( skol35, skol28, skol34 )
% 7.19/7.57 , perp( skol28, skol27, skol27, skol34 ) }.
% 7.19/7.57 parent0[0]: (53) {G0,W14,D2,L3,V4,M3} I { ! circle( T, X, Y, Z ), ! coll( T
% 7.19/7.57 , X, Z ), perp( X, Y, Y, Z ) }.
% 7.19/7.57 parent1[0]: (126) {G0,W5,D2,L1,V0,M1} I { circle( skol35, skol28, skol27,
% 7.19/7.57 skol34 ) }.
% 7.19/7.57 substitution0:
% 7.19/7.57 X := skol28
% 7.19/7.57 Y := skol27
% 7.19/7.57 Z := skol34
% 7.19/7.57 T := skol35
% 7.19/7.57 end
% 7.19/7.57 substitution1:
% 7.19/7.57 end
% 7.19/7.57
% 7.19/7.57 subsumption: (1687) {G1,W9,D2,L2,V0,M2} R(53,126) { ! coll( skol35, skol28
% 7.19/7.57 , skol34 ), perp( skol28, skol27, skol27, skol34 ) }.
% 7.19/7.57 parent0: (49580) {G1,W9,D2,L2,V0,M2} { ! coll( skol35, skol28, skol34 ),
% 7.19/7.57 perp( skol28, skol27, skol27, skol34 ) }.
% 7.19/7.57 substitution0:
% 7.19/7.57 end
% 7.19/7.57 permutation0:
% 7.19/7.57 0 ==> 0
% 7.19/7.57 1 ==> 1
% 7.19/7.57 end
% 7.19/7.57
% 7.19/7.57 resolution: (49581) {G1,W4,D2,L1,V0,M1} { coll( skol28, skol28, skol34 )
% 7.19/7.57 }.
% 7.19/7.57 parent0[0]: (0) {G0,W8,D2,L2,V3,M2} I { ! coll( X, Y, Z ), coll( X, Z, Y )
% 7.19/7.57 }.
% 7.19/7.57 parent1[0]: (550) {G3,W4,D2,L1,V0,M1} R(231,125) { coll( skol28, skol34,
% 7.19/7.57 skol28 ) }.
% 7.19/7.57 substitution0:
% 7.19/7.57 X := skol28
% 7.19/7.57 Y := skol34
% 7.19/7.57 Z := skol28
% 7.19/7.57 end
% 7.19/7.57 substitution1:
% 7.19/7.57 end
% 7.19/7.57
% 7.19/7.57 subsumption: (2192) {G4,W4,D2,L1,V0,M1} R(550,0) { coll( skol28, skol28,
% 7.19/7.57 skol34 ) }.
% 7.19/7.57 parent0: (49581) {G1,W4,D2,L1,V0,M1} { coll( skol28, skol28, skol34 ) }.
% 7.19/7.57 substitution0:
% 7.19/7.57 end
% 7.19/7.57 permutation0:
% 7.19/7.57 0 ==> 0
% 7.19/7.57 end
% 7.19/7.57
% 7.19/7.57 resolution: (49582) {G1,W8,D2,L2,V1,M2} { ! coll( skol28, skol28, X ),
% 7.19/7.57 coll( skol34, X, skol28 ) }.
% 7.19/7.57 parent0[0]: (2) {G0,W12,D2,L3,V4,M3} I { ! coll( X, T, Y ), ! coll( X, T, Z
% 7.19/7.57 ), coll( Y, Z, X ) }.
% 7.19/7.57 parent1[0]: (2192) {G4,W4,D2,L1,V0,M1} R(550,0) { coll( skol28, skol28,
% 7.19/7.57 skol34 ) }.
% 7.19/7.57 substitution0:
% 7.19/7.57 X := skol28
% 7.19/7.57 Y := skol34
% 7.19/7.57 Z := X
% 7.19/7.57 T := skol28
% 7.19/7.57 end
% 7.19/7.57 substitution1:
% 7.19/7.57 end
% 7.19/7.57
% 7.19/7.57 subsumption: (2200) {G5,W8,D2,L2,V1,M2} R(2192,2) { ! coll( skol28, skol28
% 7.19/7.57 , X ), coll( skol34, X, skol28 ) }.
% 7.19/7.57 parent0: (49582) {G1,W8,D2,L2,V1,M2} { ! coll( skol28, skol28, X ), coll(
% 7.19/7.57 skol34, X, skol28 ) }.
% 7.19/7.57 substitution0:
% 7.19/7.57 X := X
% 7.19/7.57 end
% 7.19/7.57 permutation0:
% 7.19/7.57 0 ==> 0
% 7.19/7.57 1 ==> 1
% 7.19/7.57 end
% 7.19/7.57
% 7.19/7.57 resolution: (49585) {G1,W8,D2,L2,V3,M2} { coll( Y, X, X ), ! coll( X, Z, Y
% 7.19/7.57 ) }.
% 7.19/7.57 parent0[0]: (1) {G0,W8,D2,L2,V3,M2} I { ! coll( X, Y, Z ), coll( Y, X, Z )
% 7.19/7.57 }.
% 7.19/7.57 parent1[0]: (551) {G4,W8,D2,L2,V3,M2} F(535) { coll( X, Y, X ), ! coll( X,
% 7.19/7.57 Z, Y ) }.
% 7.19/7.57 substitution0:
% 7.19/7.57 X := X
% 7.19/7.57 Y := Y
% 7.19/7.57 Z := X
% 7.19/7.57 end
% 7.19/7.57 substitution1:
% 7.19/7.57 X := X
% 7.19/7.57 Y := Y
% 7.19/7.57 Z := Z
% 7.19/7.57 end
% 7.19/7.57
% 7.19/7.57 subsumption: (2240) {G5,W8,D2,L2,V3,M2} R(551,1) { ! coll( X, Y, Z ), coll
% 7.19/7.57 ( Z, X, X ) }.
% 7.19/7.57 parent0: (49585) {G1,W8,D2,L2,V3,M2} { coll( Y, X, X ), ! coll( X, Z, Y )
% 7.19/7.57 }.
% 7.19/7.57 substitution0:
% 7.19/7.57 X := X
% 7.19/7.57 Y := Z
% 7.19/7.57 Z := Y
% 7.19/7.57 end
% 7.19/7.57 permutation0:
% 7.19/7.57 0 ==> 1
% 7.19/7.57 1 ==> 0
% 7.19/7.57 end
% 7.19/7.57
% 7.19/7.57 resolution: (49586) {G1,W8,D2,L2,V3,M2} { coll( Z, X, X ), ! coll( Y, X, Z
% 7.19/7.57 ) }.
% 7.19/7.57 parent0[0]: (2240) {G5,W8,D2,L2,V3,M2} R(551,1) { ! coll( X, Y, Z ), coll(
% 7.19/7.57 Z, X, X ) }.
% 7.19/7.57 parent1[1]: (1) {G0,W8,D2,L2,V3,M2} I { ! coll( X, Y, Z ), coll( Y, X, Z )
% 7.19/7.57 }.
% 7.19/7.57 substitution0:
% 7.19/7.57 X := X
% 7.19/7.57 Y := Y
% 7.19/7.57 Z := Z
% 7.19/7.57 end
% 7.19/7.57 substitution1:
% 7.19/7.57 X := Y
% 7.19/7.57 Y := X
% 7.19/7.57 Z := Z
% 7.19/7.57 end
% 7.19/7.57
% 7.19/7.57 subsumption: (2246) {G6,W8,D2,L2,V3,M2} R(2240,1) { coll( X, Y, Y ), ! coll
% 7.19/7.57 ( Z, Y, X ) }.
% 7.19/7.57 parent0: (49586) {G1,W8,D2,L2,V3,M2} { coll( Z, X, X ), ! coll( Y, X, Z )
% 7.19/7.57 }.
% 7.19/7.57 substitution0:
% 7.19/7.57 X := Y
% 7.19/7.57 Y := Z
% 7.19/7.57 Z := X
% 7.19/7.57 end
% 7.19/7.57 permutation0:
% 7.19/7.57 0 ==> 0
% 7.19/7.57 1 ==> 1
% 7.19/7.57 end
% 7.19/7.57
% 7.19/7.57 resolution: (49587) {G2,W8,D2,L2,V2,M2} { coll( skol34, X, skol28 ), !
% 7.19/7.57 coll( X, Y, skol28 ) }.
% 7.19/7.57 parent0[0]: (2200) {G5,W8,D2,L2,V1,M2} R(2192,2) { ! coll( skol28, skol28,
% 7.19/7.57 X ), coll( skol34, X, skol28 ) }.
% 7.19/7.57 parent1[1]: (142) {G1,W8,D2,L2,V3,M2} F(2) { ! coll( X, Y, Z ), coll( Z, Z
% 7.19/7.57 , X ) }.
% 7.19/7.57 substitution0:
% 7.19/7.57 X := X
% 7.19/7.57 end
% 7.19/7.57 substitution1:
% 7.19/7.57 X := X
% 7.19/7.57 Y := Y
% 7.19/7.57 Z := skol28
% 7.19/7.57 end
% 7.19/7.57
% 7.19/7.57 subsumption: (2990) {G6,W8,D2,L2,V2,M2} R(2200,142) { coll( skol34, X,
% 7.19/7.57 skol28 ), ! coll( X, Y, skol28 ) }.
% 7.19/7.57 parent0: (49587) {G2,W8,D2,L2,V2,M2} { coll( skol34, X, skol28 ), ! coll(
% 7.19/7.57 X, Y, skol28 ) }.
% 7.19/7.57 substitution0:
% 7.19/7.57 X := X
% 7.19/7.57 Y := Y
% 7.19/7.57 end
% 7.19/7.57 permutation0:
% 7.19/7.57 0 ==> 0
% 7.19/7.57 1 ==> 1
% 7.19/7.57 end
% 7.19/7.57
% 7.19/7.57 resolution: (49589) {G2,W8,D2,L2,V2,M2} { coll( X, skol28, skol34 ), !
% 7.19/7.57 coll( X, Y, skol28 ) }.
% 7.19/7.57 parent0[0]: (189) {G1,W8,D2,L2,V3,M2} R(1,0) { ! coll( X, Y, Z ), coll( Y,
% 7.19/7.57 Z, X ) }.
% 7.19/7.57 parent1[0]: (2990) {G6,W8,D2,L2,V2,M2} R(2200,142) { coll( skol34, X,
% 7.19/7.57 skol28 ), ! coll( X, Y, skol28 ) }.
% 7.19/7.57 substitution0:
% 7.19/7.57 X := skol34
% 7.19/7.57 Y := X
% 7.19/7.57 Z := skol28
% 7.19/7.57 end
% 7.19/7.57 substitution1:
% 7.19/7.57 X := X
% 7.19/7.57 Y := Y
% 7.19/7.57 end
% 7.19/7.57
% 7.19/7.57 subsumption: (3760) {G7,W8,D2,L2,V2,M2} R(2990,189) { ! coll( X, Y, skol28
% 7.19/7.57 ), coll( X, skol28, skol34 ) }.
% 7.19/7.57 parent0: (49589) {G2,W8,D2,L2,V2,M2} { coll( X, skol28, skol34 ), ! coll(
% 7.19/7.57 X, Y, skol28 ) }.
% 7.19/7.57 substitution0:
% 7.19/7.57 X := X
% 7.19/7.57 Y := Y
% 7.19/7.57 end
% 7.19/7.57 permutation0:
% 7.19/7.57 0 ==> 1
% 7.19/7.57 1 ==> 0
% 7.19/7.57 end
% 7.19/7.57
% 7.19/7.57 resolution: (49590) {G2,W8,D2,L2,V2,M2} { coll( X, skol28, skol34 ), !
% 7.19/7.57 coll( skol28, Y, X ) }.
% 7.19/7.57 parent0[0]: (3760) {G7,W8,D2,L2,V2,M2} R(2990,189) { ! coll( X, Y, skol28 )
% 7.19/7.57 , coll( X, skol28, skol34 ) }.
% 7.19/7.57 parent1[1]: (142) {G1,W8,D2,L2,V3,M2} F(2) { ! coll( X, Y, Z ), coll( Z, Z
% 7.19/7.57 , X ) }.
% 7.19/7.57 substitution0:
% 7.19/7.57 X := X
% 7.19/7.57 Y := X
% 7.19/7.57 end
% 7.19/7.57 substitution1:
% 7.19/7.57 X := skol28
% 7.19/7.57 Y := Y
% 7.19/7.57 Z := X
% 7.19/7.57 end
% 7.19/7.57
% 7.19/7.57 subsumption: (3847) {G8,W8,D2,L2,V2,M2} R(3760,142) { coll( X, skol28,
% 7.19/7.57 skol34 ), ! coll( skol28, Y, X ) }.
% 7.19/7.57 parent0: (49590) {G2,W8,D2,L2,V2,M2} { coll( X, skol28, skol34 ), ! coll(
% 7.19/7.57 skol28, Y, X ) }.
% 7.19/7.57 substitution0:
% 7.19/7.57 X := X
% 7.19/7.57 Y := Y
% 7.19/7.57 end
% 7.19/7.57 permutation0:
% 7.19/7.57 0 ==> 0
% 7.19/7.57 1 ==> 1
% 7.19/7.57 end
% 7.19/7.57
% 7.19/7.57 resolution: (49591) {G1,W8,D2,L2,V3,M2} { coll( X, Y, Y ), ! alpha1( X, T
% 7.19/7.57 , Y ) }.
% 7.19/7.57 parent0[1]: (2246) {G6,W8,D2,L2,V3,M2} R(2240,1) { coll( X, Y, Y ), ! coll
% 7.19/7.57 ( Z, Y, X ) }.
% 7.19/7.57 parent1[1]: (97) {G0,W11,D3,L2,V4,M2} I { ! alpha1( X, Y, Z ), coll( skol11
% 7.19/7.57 ( X, T, Z ), Z, X ) }.
% 7.19/7.57 substitution0:
% 7.19/7.57 X := X
% 7.19/7.57 Y := Y
% 7.19/7.57 Z := skol11( X, Z, Y )
% 7.19/7.57 end
% 7.19/7.57 substitution1:
% 7.19/7.57 X := X
% 7.19/7.57 Y := T
% 7.19/7.57 Z := Y
% 7.19/7.57 T := Z
% 7.19/7.57 end
% 7.19/7.57
% 7.19/7.57 subsumption: (4364) {G7,W8,D2,L2,V3,M2} R(97,2246) { ! alpha1( X, Y, Z ),
% 7.19/7.57 coll( X, Z, Z ) }.
% 7.19/7.57 parent0: (49591) {G1,W8,D2,L2,V3,M2} { coll( X, Y, Y ), ! alpha1( X, T, Y
% 7.19/7.57 ) }.
% 7.19/7.57 substitution0:
% 7.19/7.57 X := X
% 7.19/7.57 Y := Z
% 7.19/7.57 Z := T
% 7.19/7.57 T := Y
% 7.19/7.57 end
% 7.19/7.57 permutation0:
% 7.19/7.57 0 ==> 1
% 7.19/7.57 1 ==> 0
% 7.19/7.57 end
% 7.19/7.57
% 7.19/7.57 resolution: (49592) {G1,W7,D3,L1,V0,M1} { perp( skol12( skol28, skol35 ),
% 7.19/7.57 skol28, skol28, skol35 ) }.
% 7.19/7.57 parent0[0]: (100) {G0,W12,D3,L2,V4,M2} I { ! circle( Y, X, Z, T ), perp(
% 7.19/7.57 skol12( X, Y ), X, X, Y ) }.
% 7.19/7.57 parent1[0]: (126) {G0,W5,D2,L1,V0,M1} I { circle( skol35, skol28, skol27,
% 7.19/7.57 skol34 ) }.
% 7.19/7.57 substitution0:
% 7.19/7.57 X := skol28
% 7.19/7.57 Y := skol35
% 7.19/7.57 Z := skol27
% 7.19/7.57 T := skol34
% 7.19/7.57 end
% 7.19/7.57 substitution1:
% 7.19/7.57 end
% 7.19/7.57
% 7.19/7.57 subsumption: (4858) {G1,W7,D3,L1,V0,M1} R(100,126) { perp( skol12( skol28,
% 7.19/7.57 skol35 ), skol28, skol28, skol35 ) }.
% 7.19/7.57 parent0: (49592) {G1,W7,D3,L1,V0,M1} { perp( skol12( skol28, skol35 ),
% 7.19/7.57 skol28, skol28, skol35 ) }.
% 7.19/7.57 substitution0:
% 7.19/7.57 end
% 7.19/7.57 permutation0:
% 7.19/7.57 0 ==> 0
% 7.19/7.57 end
% 7.19/7.57
% 7.19/7.57 resolution: (49593) {G1,W7,D3,L1,V0,M1} { perp( skol28, skol35, skol12(
% 7.19/7.57 skol28, skol35 ), skol28 ) }.
% 7.19/7.57 parent0[0]: (7) {G0,W10,D2,L2,V4,M2} I { ! perp( X, Y, Z, T ), perp( Z, T,
% 7.19/7.57 X, Y ) }.
% 7.19/7.57 parent1[0]: (4858) {G1,W7,D3,L1,V0,M1} R(100,126) { perp( skol12( skol28,
% 7.19/7.57 skol35 ), skol28, skol28, skol35 ) }.
% 7.19/7.57 substitution0:
% 7.19/7.57 X := skol12( skol28, skol35 )
% 7.19/7.57 Y := skol28
% 7.19/7.57 Z := skol28
% 7.19/7.57 T := skol35
% 7.19/7.57 end
% 7.19/7.57 substitution1:
% 7.19/7.57 end
% 7.19/7.57
% 7.19/7.57 subsumption: (4885) {G2,W7,D3,L1,V0,M1} R(4858,7) { perp( skol28, skol35,
% 7.19/7.57 skol12( skol28, skol35 ), skol28 ) }.
% 7.19/7.57 parent0: (49593) {G1,W7,D3,L1,V0,M1} { perp( skol28, skol35, skol12(
% 7.19/7.57 skol28, skol35 ), skol28 ) }.
% 7.19/7.57 substitution0:
% 7.19/7.57 end
% 7.19/7.57 permutation0:
% 7.19/7.57 0 ==> 0
% 7.19/7.57 end
% 7.19/7.57
% 7.19/7.57 resolution: (49594) {G1,W7,D3,L1,V0,M1} { perp( skol28, skol35, skol28,
% 7.19/7.57 skol12( skol28, skol35 ) ) }.
% 7.19/7.57 parent0[0]: (6) {G0,W10,D2,L2,V4,M2} I { ! perp( X, Y, Z, T ), perp( X, Y,
% 7.19/7.57 T, Z ) }.
% 7.19/7.57 parent1[0]: (4885) {G2,W7,D3,L1,V0,M1} R(4858,7) { perp( skol28, skol35,
% 7.19/7.57 skol12( skol28, skol35 ), skol28 ) }.
% 7.19/7.57 substitution0:
% 7.19/7.57 X := skol28
% 7.19/7.57 Y := skol35
% 7.19/7.57 Z := skol12( skol28, skol35 )
% 7.19/7.57 T := skol28
% 7.19/7.57 end
% 7.19/7.57 substitution1:
% 7.19/7.57 end
% 7.19/7.57
% 7.19/7.57 subsumption: (4896) {G3,W7,D3,L1,V0,M1} R(4885,6) { perp( skol28, skol35,
% 7.19/7.57 skol28, skol12( skol28, skol35 ) ) }.
% 7.19/7.57 parent0: (49594) {G1,W7,D3,L1,V0,M1} { perp( skol28, skol35, skol28,
% 7.19/7.57 skol12( skol28, skol35 ) ) }.
% 7.19/7.57 substitution0:
% 7.19/7.57 end
% 7.19/7.57 permutation0:
% 7.19/7.57 0 ==> 0
% 7.19/7.57 end
% 7.19/7.57
% 7.19/7.57 resolution: (49595) {G1,W7,D3,L1,V0,M1} { perp( skol28, skol12( skol28,
% 7.19/7.57 skol35 ), skol28, skol35 ) }.
% 7.19/7.57 parent0[0]: (7) {G0,W10,D2,L2,V4,M2} I { ! perp( X, Y, Z, T ), perp( Z, T,
% 7.19/7.57 X, Y ) }.
% 7.19/7.57 parent1[0]: (4896) {G3,W7,D3,L1,V0,M1} R(4885,6) { perp( skol28, skol35,
% 7.19/7.57 skol28, skol12( skol28, skol35 ) ) }.
% 7.19/7.57 substitution0:
% 7.19/7.57 X := skol28
% 7.19/7.57 Y := skol35
% 7.19/7.57 Z := skol28
% 7.19/7.57 T := skol12( skol28, skol35 )
% 7.19/7.57 end
% 7.19/7.57 substitution1:
% 7.19/7.57 end
% 7.19/7.57
% 7.19/7.57 subsumption: (4906) {G4,W7,D3,L1,V0,M1} R(4896,7) { perp( skol28, skol12(
% 7.19/7.57 skol28, skol35 ), skol28, skol35 ) }.
% 7.19/7.57 parent0: (49595) {G1,W7,D3,L1,V0,M1} { perp( skol28, skol12( skol28,
% 7.19/7.57 skol35 ), skol28, skol35 ) }.
% 7.19/7.57 substitution0:
% 7.19/7.57 end
% 7.19/7.57 permutation0:
% 7.19/7.57 0 ==> 0
% 7.19/7.57 end
% 7.19/7.57
% 7.19/7.57 resolution: (49596) {G1,W11,D3,L2,V0,M2} { ! perp( skol28, skol12( skol28
% 7.19/7.57 , skol35 ), skol28, skol35 ), alpha1( skol28, skol28, skol35 ) }.
% 7.19/7.57 parent0[0]: (96) {G0,W14,D2,L3,V4,M3} I { ! perp( X, T, Y, Z ), ! perp( Y,
% 7.19/7.57 T, X, Z ), alpha1( X, Y, Z ) }.
% 7.19/7.57 parent1[0]: (4906) {G4,W7,D3,L1,V0,M1} R(4896,7) { perp( skol28, skol12(
% 7.19/7.57 skol28, skol35 ), skol28, skol35 ) }.
% 7.19/7.57 substitution0:
% 7.19/7.57 X := skol28
% 7.19/7.57 Y := skol28
% 7.19/7.57 Z := skol35
% 7.19/7.57 T := skol12( skol28, skol35 )
% 7.19/7.57 end
% 7.19/7.57 substitution1:
% 7.19/7.57 end
% 7.19/7.57
% 7.19/7.57 resolution: (49597) {G2,W4,D2,L1,V0,M1} { alpha1( skol28, skol28, skol35 )
% 7.19/7.57 }.
% 7.19/7.57 parent0[0]: (49596) {G1,W11,D3,L2,V0,M2} { ! perp( skol28, skol12( skol28
% 7.19/7.57 , skol35 ), skol28, skol35 ), alpha1( skol28, skol28, skol35 ) }.
% 7.19/7.57 parent1[0]: (4906) {G4,W7,D3,L1,V0,M1} R(4896,7) { perp( skol28, skol12(
% 7.19/7.57 skol28, skol35 ), skol28, skol35 ) }.
% 7.19/7.57 substitution0:
% 7.19/7.57 end
% 7.19/7.57 substitution1:
% 7.19/7.57 end
% 7.19/7.57
% 7.19/7.57 subsumption: (5894) {G5,W4,D2,L1,V0,M1} R(4906,96);r(4906) { alpha1( skol28
% 7.19/7.57 , skol28, skol35 ) }.
% 7.19/7.57 parent0: (49597) {G2,W4,D2,L1,V0,M1} { alpha1( skol28, skol28, skol35 )
% 7.19/7.57 }.
% 7.19/7.57 substitution0:
% 7.19/7.57 end
% 7.19/7.57 permutation0:
% 7.19/7.57 0 ==> 0
% 7.19/7.57 end
% 7.19/7.57
% 7.19/7.57 resolution: (49598) {G6,W4,D2,L1,V0,M1} { coll( skol28, skol35, skol35 )
% 7.19/7.57 }.
% 7.19/7.57 parent0[0]: (4364) {G7,W8,D2,L2,V3,M2} R(97,2246) { ! alpha1( X, Y, Z ),
% 7.19/7.57 coll( X, Z, Z ) }.
% 7.19/7.57 parent1[0]: (5894) {G5,W4,D2,L1,V0,M1} R(4906,96);r(4906) { alpha1( skol28
% 7.19/7.57 , skol28, skol35 ) }.
% 7.19/7.57 substitution0:
% 7.19/7.57 X := skol28
% 7.19/7.57 Y := skol28
% 7.19/7.57 Z := skol35
% 7.19/7.57 end
% 7.19/7.57 substitution1:
% 7.19/7.57 end
% 7.19/7.57
% 7.19/7.57 subsumption: (5904) {G8,W4,D2,L1,V0,M1} R(5894,4364) { coll( skol28, skol35
% 7.19/7.57 , skol35 ) }.
% 7.19/7.57 parent0: (49598) {G6,W4,D2,L1,V0,M1} { coll( skol28, skol35, skol35 ) }.
% 7.19/7.57 substitution0:
% 7.19/7.57 end
% 7.19/7.57 permutation0:
% 7.19/7.57 0 ==> 0
% 7.19/7.57 end
% 7.19/7.57
% 7.19/7.57 resolution: (49599) {G9,W4,D2,L1,V0,M1} { coll( skol35, skol28, skol34 )
% 7.19/7.57 }.
% 7.19/7.57 parent0[1]: (3847) {G8,W8,D2,L2,V2,M2} R(3760,142) { coll( X, skol28,
% 7.19/7.57 skol34 ), ! coll( skol28, Y, X ) }.
% 7.19/7.57 parent1[0]: (5904) {G8,W4,D2,L1,V0,M1} R(5894,4364) { coll( skol28, skol35
% 7.19/7.57 , skol35 ) }.
% 7.19/7.57 substitution0:
% 7.19/7.57 X := skol35
% 7.19/7.57 Y := skol35
% 7.19/7.57 end
% 7.19/7.57 substitution1:
% 7.19/7.57 end
% 7.19/7.57
% 7.19/7.57 subsumption: (5920) {G9,W4,D2,L1,V0,M1} R(5904,3847) { coll( skol35, skol28
% 7.19/7.57 , skol34 ) }.
% 7.19/7.57 parent0: (49599) {G9,W4,D2,L1,V0,M1} { coll( skol35, skol28, skol34 ) }.
% 7.19/7.57 substitution0:
% 7.19/7.57 end
% 7.19/7.57 permutation0:
% 7.19/7.57 0 ==> 0
% 7.19/7.57 end
% 7.19/7.57
% 7.19/7.57 resolution: (49600) {G2,W5,D2,L1,V0,M1} { perp( skol28, skol27, skol27,
% 7.19/7.57 skol34 ) }.
% 7.19/7.57 parent0[0]: (1687) {G1,W9,D2,L2,V0,M2} R(53,126) { ! coll( skol35, skol28,
% 7.19/7.57 skol34 ), perp( skol28, skol27, skol27, skol34 ) }.
% 7.19/7.57 parent1[0]: (5920) {G9,W4,D2,L1,V0,M1} R(5904,3847) { coll( skol35, skol28
% 7.19/7.57 , skol34 ) }.
% 7.19/7.57 substitution0:
% 7.19/7.57 end
% 7.19/7.57 substitution1:
% 7.19/7.57 end
% 7.19/7.57
% 7.19/7.57 subsumption: (20058) {G10,W5,D2,L1,V0,M1} S(1687);r(5920) { perp( skol28,
% 7.19/7.57 skol27, skol27, skol34 ) }.
% 7.19/7.57 parent0: (49600) {G2,W5,D2,L1,V0,M1} { perp( skol28, skol27, skol27,
% 7.19/7.57 skol34 ) }.
% 7.19/7.57 substitution0:
% 7.19/7.57 end
% 7.19/7.57 permutation0:
% 7.19/7.57 0 ==> 0
% 7.19/7.57 end
% 7.19/7.57
% 7.19/7.57 resolution: (49601) {G3,W5,D2,L1,V0,M1} { para( skol28, skol27, skol28,
% 7.19/7.57 skol27 ) }.
% 7.19/7.57 parent0[0]: (318) {G2,W10,D2,L2,V4,M2} F(310) { ! perp( X, Y, Z, T ), para
% 7.19/7.57 ( X, Y, X, Y ) }.
% 7.19/7.57 parent1[0]: (20058) {G10,W5,D2,L1,V0,M1} S(1687);r(5920) { perp( skol28,
% 7.19/7.57 skol27, skol27, skol34 ) }.
% 7.19/7.57 substitution0:
% 7.19/7.57 X := skol28
% 7.19/7.57 Y := skol27
% 7.19/7.57 Z := skol27
% 7.19/7.57 T := skol34
% 7.19/7.57 end
% 7.19/7.57 substitution1:
% 7.19/7.57 end
% 7.19/7.57
% 7.19/7.57 subsumption: (33540) {G11,W5,D2,L1,V0,M1} R(20058,318) { para( skol28,
% 7.19/7.57 skol27, skol28, skol27 ) }.
% 7.19/7.57 parent0: (49601) {G3,W5,D2,L1,V0,M1} { para( skol28, skol27, skol28,
% 7.19/7.57 skol27 ) }.
% 7.19/7.57 substitution0:
% 7.19/7.57 end
% 7.19/7.57 permutation0:
% 7.19/7.57 0 ==> 0
% 7.19/7.57 end
% 7.19/7.57
% 7.19/7.57 resolution: (49602) {G2,W5,D2,L1,V0,M1} { para( skol28, skol27, skol27,
% 7.19/7.57 skol28 ) }.
% 7.19/7.57 parent0[0]: (256) {G1,W10,D2,L2,V4,M2} R(4,3) { ! para( X, Y, Z, T ), para
% 7.19/7.57 ( Z, T, Y, X ) }.
% 7.19/7.57 parent1[0]: (33540) {G11,W5,D2,L1,V0,M1} R(20058,318) { para( skol28,
% 7.19/7.57 skol27, skol28, skol27 ) }.
% 7.19/7.57 substitution0:
% 7.19/7.57 X := skol28
% 7.19/7.57 Y := skol27
% 7.19/7.57 Z := skol28
% 7.19/7.57 T := skol27
% 7.19/7.57 end
% 7.19/7.57 substitution1:
% 7.19/7.57 end
% 7.19/7.57
% 7.19/7.57 subsumption: (33632) {G12,W5,D2,L1,V0,M1} R(33540,256) { para( skol28,
% 7.19/7.57 skol27, skol27, skol28 ) }.
% 7.19/7.57 parent0: (49602) {G2,W5,D2,L1,V0,M1} { para( skol28, skol27, skol27,
% 7.19/7.57 skol28 ) }.
% 7.19/7.57 substitution0:
% 7.19/7.57 end
% 7.19/7.57 permutation0:
% 7.19/7.57 0 ==> 0
% 7.19/7.57 end
% 7.19/7.57
% 7.19/7.57 resolution: (49603) {G3,W5,D2,L1,V0,M1} { para( skol27, skol28, skol27,
% 7.19/7.57 skol28 ) }.
% 7.19/7.57 parent0[0]: (272) {G2,W10,D2,L2,V4,M2} F(266) { ! para( X, Y, Z, T ), para
% 7.19/7.57 ( Z, T, Z, T ) }.
% 7.19/7.57 parent1[0]: (33632) {G12,W5,D2,L1,V0,M1} R(33540,256) { para( skol28,
% 7.19/7.57 skol27, skol27, skol28 ) }.
% 7.19/7.57 substitution0:
% 7.19/7.57 X := skol28
% 7.19/7.57 Y := skol27
% 7.19/7.57 Z := skol27
% 7.19/7.57 T := skol28
% 7.19/7.57 end
% 7.19/7.57 substitution1:
% 7.19/7.57 end
% 7.19/7.57
% 7.19/7.57 subsumption: (33640) {G13,W5,D2,L1,V0,M1} R(33632,272) { para( skol27,
% 7.19/7.57 skol28, skol27, skol28 ) }.
% 7.19/7.57 parent0: (49603) {G3,W5,D2,L1,V0,M1} { para( skol27, skol28, skol27,
% 7.19/7.57 skol28 ) }.
% 7.19/7.57 substitution0:
% 7.19/7.57 end
% 7.19/7.57 permutation0:
% 7.19/7.57 0 ==> 0
% 7.19/7.57 end
% 7.19/7.57
% 7.19/7.57 resolution: (49604) {G2,W9,D2,L1,V2,M1} { eqangle( X, Y, skol27, skol28, X
% 7.19/7.57 , Y, skol27, skol28 ) }.
% 7.19/7.57 parent0[0]: (756) {G1,W14,D2,L2,V6,M2} R(39,18) { ! para( X, Y, Z, T ),
% 7.19/7.57 eqangle( U, W, X, Y, U, W, Z, T ) }.
% 7.19/7.57 parent1[0]: (33640) {G13,W5,D2,L1,V0,M1} R(33632,272) { para( skol27,
% 7.19/7.57 skol28, skol27, skol28 ) }.
% 7.19/7.57 substitution0:
% 7.19/7.57 X := skol27
% 7.19/7.57 Y := skol28
% 7.19/7.57 Z := skol27
% 7.19/7.57 T := skol28
% 7.19/7.57 U := X
% 7.19/7.57 W := Y
% 7.19/7.57 end
% 7.19/7.57 substitution1:
% 7.19/7.57 end
% 7.19/7.57
% 7.19/7.57 subsumption: (42030) {G14,W9,D2,L1,V2,M1} R(756,33640) { eqangle( X, Y,
% 7.19/7.57 skol27, skol28, X, Y, skol27, skol28 ) }.
% 7.19/7.57 parent0: (49604) {G2,W9,D2,L1,V2,M1} { eqangle( X, Y, skol27, skol28, X, Y
% 7.19/7.57 , skol27, skol28 ) }.
% 7.19/7.57 substitution0:
% 7.19/7.57 X := X
% 7.19/7.57 Y := Y
% 7.19/7.57 end
% 7.19/7.57 permutation0:
% 7.19/7.57 0 ==> 0
% 7.19/7.57 end
% 7.19/7.57
% 7.19/7.57 resolution: (49605) {G6,W5,D2,L1,V1,M1} { cyclic( X, skol28, skol27,
% 7.19/7.57 skol27 ) }.
% 7.19/7.57 parent0[0]: (877) {G5,W14,D2,L2,V1,M2} R(42,649) { ! eqangle( skol27, X,
% 7.19/7.57 skol27, skol28, skol27, X, skol27, skol28 ), cyclic( X, skol28, skol27,
% 7.19/7.57 skol27 ) }.
% 7.19/7.57 parent1[0]: (42030) {G14,W9,D2,L1,V2,M1} R(756,33640) { eqangle( X, Y,
% 7.19/7.57 skol27, skol28, X, Y, skol27, skol28 ) }.
% 7.19/7.57 substitution0:
% 7.19/7.57 X := X
% 7.19/7.57 end
% 7.19/7.57 substitution1:
% 7.19/7.57 X := skol27
% 7.19/7.57 Y := X
% 7.19/7.57 end
% 7.19/7.57
% 7.19/7.57 subsumption: (48868) {G15,W5,D2,L1,V1,M1} S(877);r(42030) { cyclic( X,
% 7.19/7.57 skol28, skol27, skol27 ) }.
% 7.19/7.57 parent0: (49605) {G6,W5,D2,L1,V1,M1} { cyclic( X, skol28, skol27, skol27 )
% 7.19/7.57 }.
% 7.19/7.57 substitution0:
% 7.19/7.57 X := X
% 7.19/7.57 end
% 7.19/7.57 permutation0:
% 7.19/7.57 0 ==> 0
% 7.19/7.57 end
% 7.19/7.57
% 7.19/7.57 resolution: (49606) {G2,W5,D2,L1,V1,M1} { cyclic( skol28, X, skol27,
% 7.19/7.57 skol27 ) }.
% 7.19/7.57 parent0[1]: (407) {G1,W10,D2,L2,V4,M2} R(15,13) { cyclic( X, Y, Z, T ), !
% 7.19/7.57 cyclic( Y, X, T, Z ) }.
% 7.19/7.57 parent1[0]: (48868) {G15,W5,D2,L1,V1,M1} S(877);r(42030) { cyclic( X,
% 7.19/7.57 skol28, skol27, skol27 ) }.
% 7.19/7.57 substitution0:
% 7.19/7.57 X := skol28
% 7.19/7.57 Y := X
% 7.19/7.57 Z := skol27
% 7.19/7.57 T := skol27
% 7.19/7.57 end
% 7.19/7.57 substitution1:
% 7.19/7.57 X := X
% 7.19/7.57 end
% 7.19/7.57
% 7.19/7.57 subsumption: (48889) {G16,W5,D2,L1,V1,M1} R(48868,407) { cyclic( skol28, X
% 7.19/7.57 , skol27, skol27 ) }.
% 7.19/7.57 parent0: (49606) {G2,W5,D2,L1,V1,M1} { cyclic( skol28, X, skol27, skol27 )
% 7.19/7.57 }.
% 7.19/7.57 substitution0:
% 7.19/7.57 X := X
% 7.19/7.57 end
% 7.19/7.57 permutation0:
% 7.19/7.57 0 ==> 0
% 7.19/7.57 end
% 7.19/7.57
% 7.19/7.57 resolution: (49607) {G3,W5,D2,L1,V1,M1} { cyclic( skol27, X, skol27,
% 7.19/7.57 skol27 ) }.
% 7.19/7.57 parent0[0]: (440) {G2,W10,D2,L2,V4,M2} F(428) { ! cyclic( X, Y, Z, T ),
% 7.19/7.57 cyclic( Z, Y, T, T ) }.
% 7.19/7.57 parent1[0]: (48889) {G16,W5,D2,L1,V1,M1} R(48868,407) { cyclic( skol28, X,
% 7.19/7.57 skol27, skol27 ) }.
% 7.19/7.57 substitution0:
% 7.19/7.57 X := skol28
% 7.19/7.57 Y := X
% 7.19/7.57 Z := skol27
% 7.19/7.57 T := skol27
% 7.19/7.57 end
% 7.19/7.57 substitution1:
% 7.19/7.57 X := X
% 7.19/7.57 end
% 7.19/7.57
% 7.19/7.57 subsumption: (48901) {G17,W5,D2,L1,V1,M1} R(48889,440) { cyclic( skol27, X
% 7.19/7.57 , skol27, skol27 ) }.
% 7.19/7.57 parent0: (49607) {G3,W5,D2,L1,V1,M1} { cyclic( skol27, X, skol27, skol27 )
% 7.19/7.57 }.
% 7.19/7.57 substitution0:
% 7.19/7.57 X := X
% 7.19/7.57 end
% 7.19/7.57 permutation0:
% 7.19/7.57 0 ==> 0
% 7.19/7.57 end
% 7.19/7.57
% 7.19/7.57 resolution: (49608) {G2,W5,D2,L1,V1,M1} { cyclic( skol27, skol27, X,
% 7.19/7.57 skol27 ) }.
% 7.19/7.57 parent0[1]: (404) {G1,W10,D2,L2,V4,M2} R(15,14) { cyclic( X, Y, Z, T ), !
% 7.19/7.57 cyclic( Y, Z, X, T ) }.
% 7.19/7.57 parent1[0]: (48901) {G17,W5,D2,L1,V1,M1} R(48889,440) { cyclic( skol27, X,
% 7.19/7.57 skol27, skol27 ) }.
% 7.19/7.57 substitution0:
% 7.19/7.57 X := skol27
% 7.19/7.57 Y := skol27
% 7.19/7.57 Z := X
% 7.19/7.57 T := skol27
% 7.19/7.57 end
% 7.19/7.57 substitution1:
% 7.19/7.57 X := X
% 7.19/7.57 end
% 7.19/7.57
% 7.19/7.57 subsumption: (48923) {G18,W5,D2,L1,V1,M1} R(48901,404) { cyclic( skol27,
% 7.19/7.57 skol27, X, skol27 ) }.
% 7.19/7.57 parent0: (49608) {G2,W5,D2,L1,V1,M1} { cyclic( skol27, skol27, X, skol27 )
% 7.19/7.57 }.
% 7.19/7.57 substitution0:
% 7.19/7.57 X := X
% 7.19/7.57 end
% 7.19/7.57 permutation0:
% 7.19/7.57 0 ==> 0
% 7.19/7.57 end
% 7.19/7.57
% 7.19/7.57 resolution: (49609) {G2,W5,D2,L1,V1,M1} { cyclic( skol27, skol27, skol27,
% 7.19/7.57 X ) }.
% 7.19/7.57 parent0[0]: (396) {G1,W10,D2,L2,V4,M2} R(14,13) { ! cyclic( X, Y, Z, T ),
% 7.19/7.57 cyclic( X, Z, T, Y ) }.
% 7.19/7.57 parent1[0]: (48901) {G17,W5,D2,L1,V1,M1} R(48889,440) { cyclic( skol27, X,
% 7.19/7.57 skol27, skol27 ) }.
% 7.19/7.57 substitution0:
% 7.19/7.57 X := skol27
% 7.19/7.57 Y := X
% 7.19/7.57 Z := skol27
% 7.19/7.57 T := skol27
% 7.19/7.57 end
% 7.19/7.57 substitution1:
% 7.19/7.57 X := X
% 7.19/7.57 end
% 7.19/7.57
% 7.19/7.57 subsumption: (48924) {G18,W5,D2,L1,V1,M1} R(48901,396) { cyclic( skol27,
% 7.19/7.57 skol27, skol27, X ) }.
% 7.19/7.57 parent0: (49609) {G2,W5,D2,L1,V1,M1} { cyclic( skol27, skol27, skol27, X )
% 7.19/7.57 }.
% 7.19/7.57 substitution0:
% 7.19/7.57 X := X
% 7.19/7.57 end
% 7.19/7.57 permutation0:
% 7.19/7.57 0 ==> 0
% 7.19/7.57 end
% 7.19/7.57
% 7.19/7.57 resolution: (49611) {G2,W10,D2,L2,V2,M2} { ! cyclic( skol27, skol27,
% 7.19/7.57 skol27, X ), cyclic( skol27, skol27, X, Y ) }.
% 7.19/7.57 parent0[2]: (436) {G1,W15,D2,L3,V5,M3} R(16,13) { ! cyclic( X, Y, Z, T ),
% 7.19/7.57 cyclic( Y, Z, T, U ), ! cyclic( X, Y, U, Z ) }.
% 7.19/7.57 parent1[0]: (48923) {G18,W5,D2,L1,V1,M1} R(48901,404) { cyclic( skol27,
% 7.19/7.57 skol27, X, skol27 ) }.
% 7.19/7.57 substitution0:
% 7.19/7.57 X := skol27
% 7.19/7.57 Y := skol27
% 7.19/7.57 Z := skol27
% 7.19/7.57 T := X
% 7.19/7.57 U := Y
% 7.19/7.57 end
% 7.19/7.57 substitution1:
% 7.19/7.57 X := Y
% 7.19/7.57 end
% 7.19/7.57
% 7.19/7.57 resolution: (49612) {G3,W5,D2,L1,V2,M1} { cyclic( skol27, skol27, X, Y )
% 7.19/7.57 }.
% 7.19/7.57 parent0[0]: (49611) {G2,W10,D2,L2,V2,M2} { ! cyclic( skol27, skol27,
% 7.19/7.57 skol27, X ), cyclic( skol27, skol27, X, Y ) }.
% 7.19/7.57 parent1[0]: (48924) {G18,W5,D2,L1,V1,M1} R(48901,396) { cyclic( skol27,
% 7.19/7.57 skol27, skol27, X ) }.
% 7.19/7.57 substitution0:
% 7.19/7.57 X := X
% 7.19/7.57 Y := Y
% 7.19/7.57 end
% 7.19/7.57 substitution1:
% 7.19/7.57 X := X
% 7.19/7.57 end
% 7.19/7.57
% 7.19/7.57 subsumption: (48929) {G19,W5,D2,L1,V2,M1} R(48923,436);r(48924) { cyclic(
% 7.19/7.57 skol27, skol27, X, Y ) }.
% 7.19/7.57 parent0: (49612) {G3,W5,D2,L1,V2,M1} { cyclic( skol27, skol27, X, Y ) }.
% 7.19/7.57 substitution0:
% 7.19/7.57 X := X
% 7.19/7.57 Y := Y
% 7.19/7.57 end
% 7.19/7.57 permutation0:
% 7.19/7.57 0 ==> 0
% 7.19/7.57 end
% 7.19/7.57
% 7.19/7.57 resolution: (49613) {G2,W10,D2,L2,V3,M2} { cyclic( skol27, X, Y, Z ), !
% 7.19/7.57 cyclic( skol27, skol27, Z, X ) }.
% 7.19/7.57 parent0[0]: (436) {G1,W15,D2,L3,V5,M3} R(16,13) { ! cyclic( X, Y, Z, T ),
% 7.19/7.57 cyclic( Y, Z, T, U ), ! cyclic( X, Y, U, Z ) }.
% 7.19/7.57 parent1[0]: (48929) {G19,W5,D2,L1,V2,M1} R(48923,436);r(48924) { cyclic(
% 7.19/7.57 skol27, skol27, X, Y ) }.
% 7.19/7.57 substitution0:
% 7.19/7.57 X := skol27
% 7.19/7.57 Y := skol27
% 7.19/7.57 Z := X
% 7.19/7.57 T := Y
% 7.19/7.57 U := Z
% 7.19/7.57 end
% 7.19/7.57 substitution1:
% 7.19/7.57 X := X
% 7.19/7.57 Y := Y
% 7.19/7.57 end
% 7.19/7.57
% 7.19/7.57 resolution: (49615) {G3,W5,D2,L1,V3,M1} { cyclic( skol27, X, Y, Z ) }.
% 7.19/7.57 parent0[1]: (49613) {G2,W10,D2,L2,V3,M2} { cyclic( skol27, X, Y, Z ), !
% 7.19/7.57 cyclic( skol27, skol27, Z, X ) }.
% 7.19/7.57 parent1[0]: (48929) {G19,W5,D2,L1,V2,M1} R(48923,436);r(48924) { cyclic(
% 7.19/7.57 skol27, skol27, X, Y ) }.
% 7.19/7.57 substitution0:
% 7.19/7.57 X := X
% 7.19/7.57 Y := Y
% 7.19/7.57 Z := Z
% 7.19/7.57 end
% 7.19/7.57 substitution1:
% 7.19/7.57 X := Z
% 7.19/7.57 Y := X
% 7.19/7.57 end
% 7.19/7.57
% 7.19/7.57 subsumption: (48951) {G20,W5,D2,L1,V3,M1} R(48929,436);r(48929) { cyclic(
% 7.19/7.57 skol27, X, Y, Z ) }.
% 7.19/7.57 parent0: (49615) {G3,W5,D2,L1,V3,M1} { cyclic( skol27, X, Y, Z ) }.
% 7.19/7.57 substitution0:
% 7.19/7.57 X := X
% 7.19/7.57 Y := Y
% 7.19/7.57 Z := Z
% 7.19/7.57 end
% 7.19/7.57 permutation0:
% 7.19/7.57 0 ==> 0
% 7.19/7.57 end
% 7.19/7.57
% 7.19/7.57 resolution: (49616) {G5,W5,D2,L1,V0,M1} { ! cyclic( skol27, skol23, skol20
% 7.19/7.57 , skol22 ) }.
% 7.19/7.57 parent0[0]: (458) {G4,W10,D2,L2,V1,M2} R(402,16) { ! cyclic( X, skol23,
% 7.19/7.57 skol20, skol24 ), ! cyclic( X, skol23, skol20, skol22 ) }.
% 7.19/7.57 parent1[0]: (48951) {G20,W5,D2,L1,V3,M1} R(48929,436);r(48929) { cyclic(
% 7.19/7.57 skol27, X, Y, Z ) }.
% 7.19/7.57 substitution0:
% 7.19/7.57 X := skol27
% 7.19/7.57 end
% 7.19/7.57 substitution1:
% 7.19/7.57 X := skol23
% 7.19/7.57 Y := skol20
% 7.19/7.57 Z := skol24
% 7.19/7.57 end
% 7.19/7.57
% 7.19/7.57 resolution: (49618) {G6,W0,D0,L0,V0,M0} { }.
% 7.19/7.57 parent0[0]: (49616) {G5,W5,D2,L1,V0,M1} { ! cyclic( skol27, skol23, skol20
% 7.19/7.57 , skol22 ) }.
% 7.19/7.57 parent1[0]: (48951) {G20,W5,D2,L1,V3,M1} R(48929,436);r(48929) { cyclic(
% 7.19/7.57 skol27, X, Y, Z ) }.
% 7.19/7.57 substitution0:
% 7.19/7.57 end
% 7.19/7.57 substitution1:
% 7.19/7.57 X := skol23
% 7.19/7.57 Y := skol20
% 7.19/7.57 Z := skol22
% 7.19/7.57 end
% 7.19/7.57
% 7.19/7.57 subsumption: (48967) {G21,W0,D0,L0,V0,M0} R(48951,458);r(48951) { }.
% 7.19/7.57 parent0: (49618) {G6,W0,D0,L0,V0,M0} { }.
% 7.19/7.57 substitution0:
% 7.19/7.57 end
% 7.19/7.57 permutation0:
% 7.19/7.57 end
% 7.19/7.57
% 7.19/7.57 Proof check complete!
% 7.19/7.57
% 7.19/7.57 Memory use:
% 7.19/7.57
% 7.19/7.57 space for terms: 651313
% 7.19/7.57 space for clauses: 2386286
% 7.19/7.57
% 7.19/7.57
% 7.19/7.57 clauses generated: 299269
% 7.19/7.57 clauses kept: 48968
% 7.19/7.57 clauses selected: 3033
% 7.19/7.57 clauses deleted: 2873
% 7.19/7.57 clauses inuse deleted: 129
% 7.19/7.57
% 7.19/7.57 subsentry: 8003664
% 7.19/7.57 literals s-matched: 4279411
% 7.19/7.57 literals matched: 2075948
% 7.19/7.57 full subsumption: 1225903
% 7.19/7.57
% 7.19/7.57 checksum: 1294570991
% 7.19/7.57
% 7.19/7.57
% 7.19/7.57 Bliksem ended
%------------------------------------------------------------------------------