TSTP Solution File: GEO600+1 by Bliksem---1.12
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : GEO600+1 : TPTP v8.1.0. Released v7.5.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n028.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 0s
% DateTime : Sat Jul 16 02:55:00 EDT 2022
% Result : Theorem 2.84s 3.25s
% Output : Refutation 2.84s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : GEO600+1 : TPTP v8.1.0. Released v7.5.0.
% 0.07/0.13 % Command : bliksem %s
% 0.13/0.33 % Computer : n028.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % DateTime : Fri Jun 17 19:35:43 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.89/1.24 *** allocated 10000 integers for termspace/termends
% 0.89/1.24 *** allocated 10000 integers for clauses
% 0.89/1.24 *** allocated 10000 integers for justifications
% 0.89/1.24 Bliksem 1.12
% 0.89/1.24
% 0.89/1.24
% 0.89/1.24 Automatic Strategy Selection
% 0.89/1.24
% 0.89/1.24 *** allocated 15000 integers for termspace/termends
% 0.89/1.24
% 0.89/1.24 Clauses:
% 0.89/1.24
% 0.89/1.24 { ! coll( X, Y, Z ), coll( X, Z, Y ) }.
% 0.89/1.24 { ! coll( X, Y, Z ), coll( Y, X, Z ) }.
% 0.89/1.24 { ! coll( X, T, Y ), ! coll( X, T, Z ), coll( Y, Z, X ) }.
% 0.89/1.24 { ! para( X, Y, Z, T ), para( X, Y, T, Z ) }.
% 0.89/1.24 { ! para( X, Y, Z, T ), para( Z, T, X, Y ) }.
% 0.89/1.24 { ! para( X, Y, U, W ), ! para( U, W, Z, T ), para( X, Y, Z, T ) }.
% 0.89/1.24 { ! perp( X, Y, Z, T ), perp( X, Y, T, Z ) }.
% 0.89/1.24 { ! perp( X, Y, Z, T ), perp( Z, T, X, Y ) }.
% 0.89/1.24 { ! perp( X, Y, U, W ), ! perp( U, W, Z, T ), para( X, Y, Z, T ) }.
% 0.89/1.24 { ! para( X, Y, U, W ), ! perp( U, W, Z, T ), perp( X, Y, Z, T ) }.
% 0.89/1.24 { ! midp( Z, Y, X ), midp( Z, X, Y ) }.
% 0.89/1.24 { ! cong( T, X, T, Y ), ! cong( T, X, T, Z ), circle( T, X, Y, Z ) }.
% 0.89/1.24 { ! cong( U, X, U, Y ), ! cong( U, X, U, Z ), ! cong( U, X, U, T ), cyclic
% 0.89/1.24 ( X, Y, Z, T ) }.
% 0.89/1.24 { ! cyclic( X, Y, Z, T ), cyclic( X, Y, T, Z ) }.
% 0.89/1.24 { ! cyclic( X, Y, Z, T ), cyclic( X, Z, Y, T ) }.
% 0.89/1.24 { ! cyclic( X, Y, Z, T ), cyclic( Y, X, Z, T ) }.
% 0.89/1.24 { ! cyclic( U, X, Y, Z ), ! cyclic( U, X, Y, T ), cyclic( X, Y, Z, T ) }.
% 0.89/1.24 { ! eqangle( X, Y, Z, T, U, W, V0, V1 ), eqangle( Y, X, Z, T, U, W, V0, V1
% 0.89/1.24 ) }.
% 0.89/1.24 { ! eqangle( X, Y, Z, T, U, W, V0, V1 ), eqangle( Z, T, X, Y, V0, V1, U, W
% 0.89/1.24 ) }.
% 0.89/1.24 { ! eqangle( X, Y, Z, T, U, W, V0, V1 ), eqangle( U, W, V0, V1, X, Y, Z, T
% 0.89/1.24 ) }.
% 0.89/1.24 { ! eqangle( X, Y, Z, T, U, W, V0, V1 ), eqangle( X, Y, U, W, Z, T, V0, V1
% 0.89/1.24 ) }.
% 0.89/1.24 { ! eqangle( X, Y, Z, T, V2, V3, V4, V5 ), ! eqangle( V2, V3, V4, V5, U, W
% 0.89/1.24 , V0, V1 ), eqangle( X, Y, Z, T, U, W, V0, V1 ) }.
% 0.89/1.24 { ! cong( X, Y, Z, T ), cong( X, Y, T, Z ) }.
% 0.89/1.24 { ! cong( X, Y, Z, T ), cong( Z, T, X, Y ) }.
% 0.89/1.24 { ! cong( X, Y, U, W ), ! cong( U, W, Z, T ), cong( X, Y, Z, T ) }.
% 0.89/1.24 { ! eqratio( X, Y, Z, T, U, W, V0, V1 ), eqratio( Y, X, Z, T, U, W, V0, V1
% 0.89/1.24 ) }.
% 0.89/1.24 { ! eqratio( X, Y, Z, T, U, W, V0, V1 ), eqratio( Z, T, X, Y, V0, V1, U, W
% 0.89/1.24 ) }.
% 0.89/1.24 { ! eqratio( X, Y, Z, T, U, W, V0, V1 ), eqratio( U, W, V0, V1, X, Y, Z, T
% 0.89/1.24 ) }.
% 0.89/1.24 { ! eqratio( X, Y, Z, T, U, W, V0, V1 ), eqratio( X, Y, U, W, Z, T, V0, V1
% 0.89/1.24 ) }.
% 0.89/1.24 { ! eqratio( X, Y, Z, T, V2, V3, V4, V5 ), ! eqratio( V2, V3, V4, V5, U, W
% 0.89/1.24 , V0, V1 ), eqratio( X, Y, Z, T, U, W, V0, V1 ) }.
% 0.89/1.24 { ! simtri( X, Z, Y, T, W, U ), simtri( X, Y, Z, T, U, W ) }.
% 0.89/1.24 { ! simtri( Y, X, Z, U, T, W ), simtri( X, Y, Z, T, U, W ) }.
% 0.89/1.24 { ! simtri( T, U, W, X, Y, Z ), simtri( X, Y, Z, T, U, W ) }.
% 0.89/1.24 { ! simtri( X, Y, Z, V0, V1, V2 ), ! simtri( V0, V1, V2, T, U, W ), simtri
% 0.89/1.24 ( X, Y, Z, T, U, W ) }.
% 0.89/1.24 { ! contri( X, Z, Y, T, W, U ), contri( X, Y, Z, T, U, W ) }.
% 0.89/1.24 { ! contri( Y, X, Z, U, T, W ), contri( X, Y, Z, T, U, W ) }.
% 0.89/1.24 { ! contri( T, U, W, X, Y, Z ), contri( X, Y, Z, T, U, W ) }.
% 0.89/1.24 { ! contri( X, Y, Z, V0, V1, V2 ), ! contri( V0, V1, V2, T, U, W ), contri
% 0.89/1.24 ( X, Y, Z, T, U, W ) }.
% 0.89/1.24 { ! eqangle( X, Y, U, W, Z, T, U, W ), para( X, Y, Z, T ) }.
% 0.89/1.24 { ! para( X, Y, Z, T ), eqangle( X, Y, U, W, Z, T, U, W ) }.
% 0.89/1.24 { ! cyclic( X, Y, Z, T ), eqangle( Z, X, Z, Y, T, X, T, Y ) }.
% 0.89/1.24 { ! eqangle( Z, X, Z, Y, T, X, T, Y ), coll( Z, T, X ), cyclic( X, Y, Z, T
% 0.89/1.24 ) }.
% 0.89/1.24 { ! eqangle( Z, X, Z, Y, T, X, T, Y ), ! coll( Z, T, Y ), cyclic( X, Y, Z,
% 0.89/1.24 T ) }.
% 0.89/1.24 { ! cyclic( X, Y, U, Z ), ! cyclic( X, Y, U, T ), ! cyclic( X, Y, U, W ), !
% 0.89/1.24 eqangle( U, X, U, Y, W, Z, W, T ), cong( X, Y, Z, T ) }.
% 0.89/1.24 { ! midp( Z, U, X ), ! midp( T, U, Y ), para( Z, T, X, Y ) }.
% 0.89/1.24 { ! midp( U, X, T ), ! para( U, Z, T, Y ), ! coll( Z, X, Y ), midp( Z, X, Y
% 0.89/1.24 ) }.
% 0.89/1.24 { ! cong( Z, X, Z, Y ), eqangle( Z, X, X, Y, X, Y, Z, Y ) }.
% 0.89/1.24 { ! eqangle( Z, X, X, Y, X, Y, Z, Y ), coll( Z, X, Y ), cong( Z, X, Z, Y )
% 0.89/1.24 }.
% 0.89/1.24 { ! circle( U, X, Y, Z ), ! perp( U, X, X, T ), eqangle( X, T, X, Y, Z, X,
% 0.89/1.24 Z, Y ) }.
% 0.89/1.24 { ! circle( Y, X, T, U ), ! eqangle( X, Z, X, T, U, X, U, T ), perp( Y, X,
% 0.89/1.24 X, Z ) }.
% 0.89/1.24 { ! circle( T, X, Y, Z ), ! midp( U, Y, Z ), eqangle( X, Y, X, Z, T, Y, T,
% 0.89/1.24 U ) }.
% 0.89/1.24 { ! circle( U, T, X, Y ), ! coll( Z, X, Y ), ! eqangle( T, X, T, Y, U, X, U
% 0.89/1.24 , Z ), midp( Z, X, Y ) }.
% 0.89/1.24 { ! perp( X, Y, Y, T ), ! midp( Z, X, T ), cong( X, Z, Y, Z ) }.
% 0.89/1.24 { ! circle( T, X, Y, Z ), ! coll( T, X, Z ), perp( X, Y, Y, Z ) }.
% 0.89/1.24 { ! cyclic( X, Y, Z, T ), ! para( X, Y, Z, T ), eqangle( X, T, Z, T, Z, T,
% 0.89/1.24 Z, Y ) }.
% 0.89/1.24 { ! midp( T, X, Y ), ! perp( Z, T, X, Y ), cong( Z, X, Z, Y ) }.
% 0.89/1.24 { ! cong( X, Z, Y, Z ), ! cong( X, T, Y, T ), perp( X, Y, Z, T ) }.
% 0.89/1.24 { ! cong( X, Y, T, Y ), ! cong( X, Z, T, Z ), ! cyclic( X, T, Y, Z ), perp
% 0.89/1.24 ( Y, X, X, Z ) }.
% 0.89/1.24 { ! eqangle( X, Y, Y, Z, T, U, U, W ), ! eqangle( X, Z, Y, Z, T, W, U, W )
% 0.89/1.24 , coll( X, Y, Z ), simtri( X, Y, Z, T, U, W ) }.
% 0.89/1.24 { ! simtri( X, Y, Z, T, U, W ), eqratio( X, Y, X, Z, T, U, T, W ) }.
% 0.89/1.24 { ! simtri( X, Y, Z, T, U, W ), eqangle( X, Y, Y, Z, T, U, U, W ) }.
% 0.89/1.24 { ! simtri( X, Y, Z, T, U, W ), ! cong( X, Y, T, U ), contri( X, Y, Z, T, U
% 0.89/1.24 , W ) }.
% 0.89/1.24 { ! contri( X, Y, U, Z, T, W ), cong( X, Y, Z, T ) }.
% 0.89/1.24 { ! midp( U, X, Y ), ! midp( U, Z, T ), para( X, Z, Y, T ) }.
% 0.89/1.24 { ! midp( Z, T, U ), ! para( T, X, U, Y ), ! para( T, Y, U, X ), midp( Z, X
% 0.89/1.24 , Y ) }.
% 0.89/1.24 { ! para( X, Y, Z, T ), ! coll( U, X, Z ), ! coll( U, Y, T ), eqratio( U, X
% 0.89/1.24 , X, Z, U, Y, Y, T ) }.
% 0.89/1.24 { ! para( X, Y, X, Z ), coll( X, Y, Z ) }.
% 0.89/1.24 { ! cong( X, Y, X, Z ), ! coll( X, Y, Z ), midp( X, Y, Z ) }.
% 0.89/1.24 { ! midp( X, Y, Z ), cong( X, Y, X, Z ) }.
% 0.89/1.24 { ! midp( X, Y, Z ), coll( X, Y, Z ) }.
% 0.89/1.24 { ! midp( U, X, Y ), ! midp( W, Z, T ), eqratio( U, X, X, Y, W, Z, Z, T ) }
% 0.89/1.24 .
% 0.89/1.24 { ! eqangle( X, Y, Z, T, Z, T, X, Y ), para( X, Y, Z, T ), perp( X, Y, Z, T
% 0.89/1.24 ) }.
% 0.89/1.24 { ! eqangle( X, Y, Z, T, Z, T, X, Y ), perp( X, Y, Z, T ), para( X, Y, Z, T
% 0.89/1.24 ) }.
% 0.89/1.24 { ! eqangle( X, Y, Z, T, U, W, V0, V1 ), ! para( U, W, V0, V1 ), para( X, Y
% 0.89/1.24 , Z, T ) }.
% 0.89/1.24 { ! eqangle( X, Y, Z, T, U, W, V0, V1 ), ! perp( U, W, V0, V1 ), perp( X, Y
% 0.89/1.24 , Z, T ) }.
% 0.89/1.24 { ! eqratio( X, Y, Z, T, U, W, V0, V1 ), ! cong( U, W, V0, V1 ), cong( X, Y
% 0.89/1.24 , Z, T ) }.
% 0.89/1.24 { ! perp( Z, Y, Y, X ), ! eqangle( T, Z, Y, Z, Y, Z, X, Z ), coll( skol1( U
% 0.89/1.24 , W, Z, T ), Z, T ) }.
% 0.89/1.24 { ! perp( Z, Y, Y, X ), ! eqangle( T, Z, Y, Z, Y, Z, X, Z ), coll( skol1( X
% 0.89/1.24 , Y, Z, T ), X, Y ) }.
% 0.89/1.24 { ! cong( Z, X, Z, Y ), ! eqangle( X, Z, Z, T, Z, T, Z, Y ), coll( skol2( U
% 0.89/1.24 , W, Z, T ), Z, T ) }.
% 0.89/1.24 { ! cong( Z, X, Z, Y ), ! eqangle( X, Z, Z, T, Z, T, Z, Y ), coll( Y, X,
% 0.89/1.24 skol2( X, Y, Z, T ) ) }.
% 0.89/1.24 { ! perp( Z, T, X, Y ), ! eqangle( X, Z, Z, T, Z, T, Z, Y ), coll( skol3( U
% 0.89/1.24 , W, Z, T ), Z, T ) }.
% 0.89/1.24 { ! perp( Z, T, X, Y ), ! eqangle( X, Z, Z, T, Z, T, Z, Y ), coll( Y, X,
% 0.89/1.24 skol3( X, Y, Z, T ) ) }.
% 0.89/1.24 { ! perp( Z, T, X, Y ), ! cong( Z, X, Z, Y ), coll( skol4( U, W, Z, T ), Z
% 0.89/1.24 , T ) }.
% 0.89/1.24 { ! perp( Z, T, X, Y ), ! cong( Z, X, Z, Y ), coll( Y, X, skol4( X, Y, Z, T
% 0.89/1.24 ) ) }.
% 0.89/1.24 { ! eqangle( X, Z, Y, Z, X, T, Y, U ), coll( X, Y, Z ), cyclic( T, Y, Z,
% 0.89/1.24 skol5( W, Y, Z, T ) ) }.
% 0.89/1.24 { ! eqangle( X, Z, Y, Z, X, T, Y, U ), coll( X, Y, Z ), eqangle( X, Z, Y, Z
% 0.89/1.24 , X, skol5( X, Y, Z, T ), Y, skol5( X, Y, Z, T ) ) }.
% 0.89/1.24 { ! midp( U, X, Y ), ! midp( W, Z, T ), midp( skol6( X, V0, V1, T, V2, V3 )
% 0.89/1.24 , X, T ) }.
% 0.89/1.24 { ! midp( U, X, Y ), ! midp( W, Z, T ), para( skol6( X, V0, Z, T, V1, W ),
% 0.89/1.24 W, X, Z ) }.
% 0.89/1.24 { ! midp( U, X, Y ), ! midp( W, Z, T ), para( skol6( X, Y, Z, T, U, W ), U
% 0.89/1.24 , Y, T ) }.
% 0.89/1.24 { ! midp( Z, X, Y ), ! midp( W, T, U ), ! coll( T, X, Y ), ! coll( U, X, Y
% 0.89/1.24 ), midp( skol7( X, V0 ), X, V0 ) }.
% 0.89/1.24 { ! midp( T, X, U ), ! para( X, W, Z, T ), ! para( X, W, U, Y ), ! coll( W
% 0.89/1.24 , Y, Z ), coll( skol8( V0, V1, Z, T ), T, Z ) }.
% 0.89/1.24 { ! midp( T, X, U ), ! para( X, W, Z, T ), ! para( X, W, U, Y ), ! coll( W
% 0.89/1.24 , Y, Z ), coll( skol8( X, Y, Z, T ), X, Y ) }.
% 0.89/1.24 { ! cong( T, Z, T, U ), ! perp( X, Y, Y, T ), cong( T, Z, T, skol9( W, V0,
% 0.89/1.24 Z, T ) ) }.
% 0.89/1.24 { ! cong( T, Z, T, U ), ! perp( X, Y, Y, T ), cong( Y, Z, Y, skol9( W, Y, Z
% 0.89/1.24 , T ) ) }.
% 0.89/1.24 { ! cong( T, Z, T, U ), ! perp( X, Y, Y, T ), para( skol9( X, Y, Z, T ), Z
% 0.89/1.24 , X, Y ) }.
% 0.89/1.24 { ! perp( X, T, Y, Z ), ! perp( Y, T, X, Z ), coll( skol10( U, Y, Z ), Z, Y
% 0.89/1.24 ) }.
% 0.89/1.24 { ! perp( X, T, Y, Z ), ! perp( Y, T, X, Z ), perp( X, skol10( X, Y, Z ), Z
% 0.89/1.24 , Y ) }.
% 0.89/1.24 { ! perp( X, T, Y, Z ), ! perp( Y, T, X, Z ), alpha1( X, Y, Z ) }.
% 0.89/1.24 { ! alpha1( X, Y, Z ), coll( skol11( X, T, Z ), Z, X ) }.
% 0.89/1.24 { ! alpha1( X, Y, Z ), perp( Y, skol11( X, Y, Z ), Z, X ) }.
% 0.89/1.24 { ! coll( T, Z, X ), ! perp( Y, T, Z, X ), alpha1( X, Y, Z ) }.
% 0.89/1.24 { ! circle( Y, X, Z, T ), perp( skol12( X, Y ), X, X, Y ) }.
% 1.87/2.27 { ! circle( W, X, Y, Z ), ! cong( W, X, W, T ), ! cong( U, X, U, Y ), W = U
% 1.87/2.27 , alpha2( X, Z, U, skol13( X, V0, Z, V1, U ) ) }.
% 1.87/2.27 { ! circle( W, X, Y, Z ), ! cong( W, X, W, T ), ! cong( U, X, U, Y ), W = U
% 1.87/2.27 , coll( skol21( V0, Y, T, V1 ), Y, T ) }.
% 1.87/2.27 { ! circle( W, X, Y, Z ), ! cong( W, X, W, T ), ! cong( U, X, U, Y ), W = U
% 1.87/2.27 , cong( skol21( X, Y, T, U ), U, U, X ) }.
% 1.87/2.27 { ! alpha2( X, Y, Z, T ), coll( T, X, Y ) }.
% 1.87/2.27 { ! alpha2( X, Y, Z, T ), cong( T, Z, Z, X ) }.
% 1.87/2.27 { ! coll( T, X, Y ), ! cong( T, Z, Z, X ), alpha2( X, Y, Z, T ) }.
% 1.87/2.27 { ! cyclic( X, Y, Z, T ), ! para( X, Y, Z, T ), ! midp( U, X, Y ), circle(
% 1.87/2.27 skol14( X, Y, Z ), X, Y, Z ) }.
% 1.87/2.27 { ! perp( X, Z, Z, Y ), ! cyclic( X, Y, Z, T ), circle( skol15( X, Y, Z ),
% 1.87/2.27 X, Y, Z ) }.
% 1.87/2.27 { ! perp( X, U, U, T ), ! coll( T, Y, Z ), coll( skol16( W, Y, Z ), Y, Z )
% 1.87/2.27 }.
% 1.87/2.27 { ! perp( X, U, U, T ), ! coll( T, Y, Z ), perp( skol16( X, Y, Z ), X, Y, Z
% 1.87/2.27 ) }.
% 1.87/2.27 { ! perp( X, Z, X, Y ), ! perp( Y, X, Y, T ), ! midp( U, Z, T ), midp(
% 1.87/2.27 skol17( X, Y ), X, Y ) }.
% 1.87/2.27 { ! cong( Y, X, Y, Z ), ! perp( X, Y, Y, Z ), coll( X, Y, skol18( X, Y ) )
% 1.87/2.27 }.
% 1.87/2.27 { ! cong( Y, X, Y, Z ), ! perp( X, Y, Y, Z ), cong( Y, X, Y, skol18( X, Y )
% 1.87/2.27 ) }.
% 1.87/2.27 { ! para( U, W, X, Y ), ! coll( Z, U, X ), ! coll( Z, W, Y ), ! coll( T, U
% 1.87/2.27 , W ), coll( Z, T, skol19( V0, V1, Z, T ) ) }.
% 1.87/2.27 { ! para( U, W, X, Y ), ! coll( Z, U, X ), ! coll( Z, W, Y ), ! coll( T, U
% 1.87/2.27 , W ), coll( skol19( X, Y, Z, T ), X, Y ) }.
% 1.87/2.27 { circle( skol27, skol24, skol25, skol26 ) }.
% 1.87/2.27 { circle( skol27, skol24, skol28, skol29 ) }.
% 1.87/2.27 { midp( skol30, skol26, skol28 ) }.
% 1.87/2.27 { midp( skol31, skol24, skol28 ) }.
% 1.87/2.27 { circle( skol30, skol28, skol32, skol33 ) }.
% 1.87/2.27 { circle( skol31, skol28, skol34, skol35 ) }.
% 1.87/2.27 { circle( skol30, skol28, skol20, skol36 ) }.
% 1.87/2.27 { circle( skol31, skol28, skol20, skol37 ) }.
% 1.87/2.27 { coll( skol22, skol24, skol25 ) }.
% 1.87/2.27 { circle( skol31, skol28, skol22, skol38 ) }.
% 1.87/2.27 { midp( skol39, skol25, skol28 ) }.
% 1.87/2.27 { circle( skol39, skol25, skol40, skol41 ) }.
% 1.87/2.27 { circle( skol30, skol28, skol23, skol42 ) }.
% 1.87/2.27 { circle( skol39, skol25, skol23, skol43 ) }.
% 1.87/2.27 { ! coll( skol22, skol20, skol23 ) }.
% 1.87/2.27
% 1.87/2.27 percentage equality = 0.008596, percentage horn = 0.931298
% 1.87/2.27 This is a problem with some equality
% 1.87/2.27
% 1.87/2.27
% 1.87/2.27
% 1.87/2.27 Options Used:
% 1.87/2.27
% 1.87/2.27 useres = 1
% 1.87/2.27 useparamod = 1
% 1.87/2.27 useeqrefl = 1
% 1.87/2.27 useeqfact = 1
% 1.87/2.27 usefactor = 1
% 1.87/2.27 usesimpsplitting = 0
% 1.87/2.27 usesimpdemod = 5
% 1.87/2.27 usesimpres = 3
% 1.87/2.27
% 1.87/2.27 resimpinuse = 1000
% 1.87/2.27 resimpclauses = 20000
% 1.87/2.27 substype = eqrewr
% 1.87/2.27 backwardsubs = 1
% 1.87/2.27 selectoldest = 5
% 1.87/2.27
% 1.87/2.27 litorderings [0] = split
% 1.87/2.27 litorderings [1] = extend the termordering, first sorting on arguments
% 1.87/2.27
% 1.87/2.27 termordering = kbo
% 1.87/2.27
% 1.87/2.27 litapriori = 0
% 1.87/2.27 termapriori = 1
% 1.87/2.27 litaposteriori = 0
% 1.87/2.27 termaposteriori = 0
% 1.87/2.27 demodaposteriori = 0
% 1.87/2.27 ordereqreflfact = 0
% 1.87/2.27
% 1.87/2.27 litselect = negord
% 1.87/2.27
% 1.87/2.27 maxweight = 15
% 1.87/2.27 maxdepth = 30000
% 1.87/2.27 maxlength = 115
% 1.87/2.27 maxnrvars = 195
% 1.87/2.27 excuselevel = 1
% 1.87/2.27 increasemaxweight = 1
% 1.87/2.27
% 1.87/2.27 maxselected = 10000000
% 1.87/2.27 maxnrclauses = 10000000
% 1.87/2.27
% 1.87/2.27 showgenerated = 0
% 1.87/2.27 showkept = 0
% 1.87/2.27 showselected = 0
% 1.87/2.27 showdeleted = 0
% 1.87/2.27 showresimp = 1
% 1.87/2.27 showstatus = 2000
% 1.87/2.27
% 1.87/2.27 prologoutput = 0
% 1.87/2.27 nrgoals = 5000000
% 1.87/2.27 totalproof = 1
% 1.87/2.27
% 1.87/2.27 Symbols occurring in the translation:
% 1.87/2.27
% 1.87/2.27 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 1.87/2.27 . [1, 2] (w:1, o:67, a:1, s:1, b:0),
% 1.87/2.27 ! [4, 1] (w:0, o:62, a:1, s:1, b:0),
% 1.87/2.27 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 1.87/2.27 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 1.87/2.27 coll [38, 3] (w:1, o:95, a:1, s:1, b:0),
% 1.87/2.27 para [40, 4] (w:1, o:103, a:1, s:1, b:0),
% 1.87/2.27 perp [43, 4] (w:1, o:104, a:1, s:1, b:0),
% 1.87/2.27 midp [45, 3] (w:1, o:96, a:1, s:1, b:0),
% 1.87/2.27 cong [47, 4] (w:1, o:105, a:1, s:1, b:0),
% 1.87/2.27 circle [48, 4] (w:1, o:106, a:1, s:1, b:0),
% 1.87/2.27 cyclic [49, 4] (w:1, o:107, a:1, s:1, b:0),
% 1.87/2.27 eqangle [54, 8] (w:1, o:122, a:1, s:1, b:0),
% 1.87/2.27 eqratio [57, 8] (w:1, o:123, a:1, s:1, b:0),
% 1.87/2.27 simtri [59, 6] (w:1, o:119, a:1, s:1, b:0),
% 1.87/2.27 contri [60, 6] (w:1, o:120, a:1, s:1, b:0),
% 1.87/2.27 alpha1 [79, 3] (w:1, o:97, a:1, s:1, b:1),
% 1.87/2.27 alpha2 [80, 4] (w:1, o:108, a:1, s:1, b:1),
% 1.87/2.27 skol1 [81, 4] (w:1, o:109, a:1, s:1, b:1),
% 2.84/3.25 skol2 [82, 4] (w:1, o:111, a:1, s:1, b:1),
% 2.84/3.25 skol3 [83, 4] (w:1, o:113, a:1, s:1, b:1),
% 2.84/3.25 skol4 [84, 4] (w:1, o:114, a:1, s:1, b:1),
% 2.84/3.25 skol5 [85, 4] (w:1, o:115, a:1, s:1, b:1),
% 2.84/3.25 skol6 [86, 6] (w:1, o:121, a:1, s:1, b:1),
% 2.84/3.25 skol7 [87, 2] (w:1, o:91, a:1, s:1, b:1),
% 2.84/3.25 skol8 [88, 4] (w:1, o:116, a:1, s:1, b:1),
% 2.84/3.25 skol9 [89, 4] (w:1, o:117, a:1, s:1, b:1),
% 2.84/3.25 skol10 [90, 3] (w:1, o:98, a:1, s:1, b:1),
% 2.84/3.25 skol11 [91, 3] (w:1, o:99, a:1, s:1, b:1),
% 2.84/3.25 skol12 [92, 2] (w:1, o:92, a:1, s:1, b:1),
% 2.84/3.25 skol13 [93, 5] (w:1, o:118, a:1, s:1, b:1),
% 2.84/3.25 skol14 [94, 3] (w:1, o:100, a:1, s:1, b:1),
% 2.84/3.25 skol15 [95, 3] (w:1, o:101, a:1, s:1, b:1),
% 2.84/3.25 skol16 [96, 3] (w:1, o:102, a:1, s:1, b:1),
% 2.84/3.25 skol17 [97, 2] (w:1, o:93, a:1, s:1, b:1),
% 2.84/3.25 skol18 [98, 2] (w:1, o:94, a:1, s:1, b:1),
% 2.84/3.25 skol19 [99, 4] (w:1, o:110, a:1, s:1, b:1),
% 2.84/3.25 skol20 [100, 0] (w:1, o:39, a:1, s:1, b:1),
% 2.84/3.25 skol21 [101, 4] (w:1, o:112, a:1, s:1, b:1),
% 2.84/3.25 skol22 [102, 0] (w:1, o:40, a:1, s:1, b:1),
% 2.84/3.25 skol23 [103, 0] (w:1, o:41, a:1, s:1, b:1),
% 2.84/3.25 skol24 [104, 0] (w:1, o:42, a:1, s:1, b:1),
% 2.84/3.25 skol25 [105, 0] (w:1, o:43, a:1, s:1, b:1),
% 2.84/3.25 skol26 [106, 0] (w:1, o:44, a:1, s:1, b:1),
% 2.84/3.25 skol27 [107, 0] (w:1, o:45, a:1, s:1, b:1),
% 2.84/3.25 skol28 [108, 0] (w:1, o:46, a:1, s:1, b:1),
% 2.84/3.25 skol29 [109, 0] (w:1, o:47, a:1, s:1, b:1),
% 2.84/3.25 skol30 [110, 0] (w:1, o:48, a:1, s:1, b:1),
% 2.84/3.25 skol31 [111, 0] (w:1, o:49, a:1, s:1, b:1),
% 2.84/3.25 skol32 [112, 0] (w:1, o:50, a:1, s:1, b:1),
% 2.84/3.25 skol33 [113, 0] (w:1, o:51, a:1, s:1, b:1),
% 2.84/3.25 skol34 [114, 0] (w:1, o:52, a:1, s:1, b:1),
% 2.84/3.25 skol35 [115, 0] (w:1, o:53, a:1, s:1, b:1),
% 2.84/3.25 skol36 [116, 0] (w:1, o:54, a:1, s:1, b:1),
% 2.84/3.25 skol37 [117, 0] (w:1, o:55, a:1, s:1, b:1),
% 2.84/3.25 skol38 [118, 0] (w:1, o:56, a:1, s:1, b:1),
% 2.84/3.25 skol39 [119, 0] (w:1, o:57, a:1, s:1, b:1),
% 2.84/3.25 skol40 [120, 0] (w:1, o:58, a:1, s:1, b:1),
% 2.84/3.25 skol41 [121, 0] (w:1, o:59, a:1, s:1, b:1),
% 2.84/3.25 skol42 [122, 0] (w:1, o:60, a:1, s:1, b:1),
% 2.84/3.25 skol43 [123, 0] (w:1, o:61, a:1, s:1, b:1).
% 2.84/3.25
% 2.84/3.25
% 2.84/3.25 Starting Search:
% 2.84/3.25
% 2.84/3.25 *** allocated 15000 integers for clauses
% 2.84/3.25 *** allocated 22500 integers for clauses
% 2.84/3.25 *** allocated 33750 integers for clauses
% 2.84/3.25 *** allocated 22500 integers for termspace/termends
% 2.84/3.25 *** allocated 50625 integers for clauses
% 2.84/3.25 *** allocated 75937 integers for clauses
% 2.84/3.25 Resimplifying inuse:
% 2.84/3.25 Done
% 2.84/3.25
% 2.84/3.25 *** allocated 33750 integers for termspace/termends
% 2.84/3.25 *** allocated 113905 integers for clauses
% 2.84/3.25 *** allocated 50625 integers for termspace/termends
% 2.84/3.25
% 2.84/3.25 Intermediate Status:
% 2.84/3.25 Generated: 10588
% 2.84/3.25 Kept: 2000
% 2.84/3.25 Inuse: 330
% 2.84/3.25 Deleted: 0
% 2.84/3.25 Deletedinuse: 0
% 2.84/3.25
% 2.84/3.25 Resimplifying inuse:
% 2.84/3.25 Done
% 2.84/3.25
% 2.84/3.25 *** allocated 170857 integers for clauses
% 2.84/3.25 *** allocated 75937 integers for termspace/termends
% 2.84/3.25 Resimplifying inuse:
% 2.84/3.25 Done
% 2.84/3.25
% 2.84/3.25 *** allocated 256285 integers for clauses
% 2.84/3.25 *** allocated 113905 integers for termspace/termends
% 2.84/3.25
% 2.84/3.25 Intermediate Status:
% 2.84/3.25 Generated: 16617
% 2.84/3.25 Kept: 4007
% 2.84/3.25 Inuse: 481
% 2.84/3.25 Deleted: 0
% 2.84/3.25 Deletedinuse: 0
% 2.84/3.25
% 2.84/3.25 Resimplifying inuse:
% 2.84/3.25 Done
% 2.84/3.25
% 2.84/3.25 *** allocated 384427 integers for clauses
% 2.84/3.25 Resimplifying inuse:
% 2.84/3.25 Done
% 2.84/3.25
% 2.84/3.25 *** allocated 170857 integers for termspace/termends
% 2.84/3.25
% 2.84/3.25 Intermediate Status:
% 2.84/3.25 Generated: 29925
% 2.84/3.25 Kept: 6124
% 2.84/3.25 Inuse: 551
% 2.84/3.25 Deleted: 0
% 2.84/3.25 Deletedinuse: 0
% 2.84/3.25
% 2.84/3.25 Resimplifying inuse:
% 2.84/3.25 Done
% 2.84/3.25
% 2.84/3.25 Resimplifying inuse:
% 2.84/3.25 Done
% 2.84/3.25
% 2.84/3.25 *** allocated 576640 integers for clauses
% 2.84/3.25
% 2.84/3.25 Intermediate Status:
% 2.84/3.25 Generated: 43820
% 2.84/3.25 Kept: 8126
% 2.84/3.25 Inuse: 730
% 2.84/3.25 Deleted: 2
% 2.84/3.25 Deletedinuse: 0
% 2.84/3.25
% 2.84/3.25 Resimplifying inuse:
% 2.84/3.25 Done
% 2.84/3.25
% 2.84/3.25 *** allocated 256285 integers for termspace/termends
% 2.84/3.25 Resimplifying inuse:
% 2.84/3.25 Done
% 2.84/3.25
% 2.84/3.25
% 2.84/3.25 Intermediate Status:
% 2.84/3.25 Generated: 58561
% 2.84/3.25 Kept: 10209
% 2.84/3.25 Inuse: 814
% 2.84/3.25 Deleted: 5
% 2.84/3.25 Deletedinuse: 3
% 2.84/3.25
% 2.84/3.25 Resimplifying inuse:
% 2.84/3.25 Done
% 2.84/3.25
% 2.84/3.25 *** allocated 864960 integers for clauses
% 2.84/3.25 Resimplifying inuse:
% 2.84/3.25 Done
% 2.84/3.25
% 2.84/3.25
% 2.84/3.25 Intermediate Status:
% 2.84/3.25 Generated: 72316
% 2.84/3.25 Kept: 12237
% 2.84/3.25 Inuse: 944
% 2.84/3.25 Deleted: 11
% 2.84/3.25 Deletedinuse: 3
% 2.84/3.25
% 2.84/3.25 Resimplifying inuse:
% 2.84/3.25 Done
% 2.84/3.25
% 2.84/3.25 Resimplifying inuse:
% 2.84/3.25 Done
% 2.84/3.25
% 2.84/3.25
% 2.84/3.25 Intermediate Status:
% 2.84/3.25 Generated: 82464
% 2.84/3.25 Kept: 14237
% 2.84/3.25 Inuse: 1039
% 2.84/3.25 Deleted: 29
% 2.84/3.25 Deletedinuse: 15
% 2.84/3.25
% 2.84/3.25 Resimplifying inuse:
% 2.84/3.25 Done
% 2.84/3.25
% 2.84/3.25 *** allocated 384427 integers for termspace/termends
% 2.84/3.25 Resimplifying inuse:
% 2.84/3.25 Done
% 2.84/3.25
% 2.84/3.25
% 2.84/3.25 Intermediate Status:
% 2.84/3.25 Generated: 93305
% 2.84/3.25 Kept: 16237
% 2.84/3.25 Inuse: 1141
% 2.84/3.25 Deleted: 39
% 2.84/3.25 Deletedinuse: 19
% 2.84/3.25
% 2.84/3.25 Resimplifying inuse:
% 2.84/3.25 Done
% 2.84/3.25
% 2.84/3.25 *** allocated 1297440 integers for clauses
% 2.84/3.25
% 2.84/3.25 Intermediate Status:
% 2.84/3.25 Generated: 100328
% 2.84/3.25 Kept: 18263
% 2.84/3.25 Inuse: 1187
% 2.84/3.25 Deleted: 55
% 2.84/3.25 Deletedinuse: 27
% 2.84/3.25
% 2.84/3.25 Resimplifying inuse:
% 2.84/3.25 Done
% 2.84/3.25
% 2.84/3.25 Resimplifying inuse:
% 2.84/3.25 Done
% 2.84/3.25
% 2.84/3.25 Resimplifying clauses:
% 2.84/3.25 Done
% 2.84/3.25
% 2.84/3.25
% 2.84/3.25 Intermediate Status:
% 2.84/3.25 Generated: 110665
% 2.84/3.25 Kept: 20269
% 2.84/3.25 Inuse: 1227
% 2.84/3.25 Deleted: 1695
% 2.84/3.25 Deletedinuse: 37
% 2.84/3.25
% 2.84/3.25
% 2.84/3.25 Bliksems!, er is een bewijs:
% 2.84/3.25 % SZS status Theorem
% 2.84/3.25 % SZS output start Refutation
% 2.84/3.25
% 2.84/3.25 (0) {G0,W8,D2,L2,V3,M2} I { ! coll( X, Y, Z ), coll( X, Z, Y ) }.
% 2.84/3.25 (1) {G0,W8,D2,L2,V3,M2} I { ! coll( X, Y, Z ), coll( Y, X, Z ) }.
% 2.84/3.25 (2) {G0,W12,D2,L3,V4,M3} I { ! coll( X, T, Y ), ! coll( X, T, Z ), coll( Y
% 2.84/3.25 , Z, X ) }.
% 2.84/3.25 (10) {G0,W8,D2,L2,V3,M2} I { ! midp( Z, Y, X ), midp( Z, X, Y ) }.
% 2.84/3.25 (69) {G0,W8,D2,L2,V3,M2} I { ! midp( X, Y, Z ), coll( X, Y, Z ) }.
% 2.84/3.25 (88) {G0,W22,D3,L5,V7,M5} I { ! midp( Z, X, Y ), ! midp( W, T, U ), ! coll
% 2.84/3.25 ( T, X, Y ), ! coll( U, X, Y ), midp( skol7( X, V0 ), X, V0 ) }.
% 2.84/3.25 (126) {G0,W4,D2,L1,V0,M1} I { midp( skol39, skol25, skol28 ) }.
% 2.84/3.25 (130) {G0,W4,D2,L1,V0,M1} I { ! coll( skol22, skol20, skol23 ) }.
% 2.84/3.25 (153) {G1,W18,D3,L4,V4,M4} F(88) { ! midp( X, Y, Z ), ! coll( Y, Y, Z ), !
% 2.84/3.25 coll( Z, Y, Z ), midp( skol7( Y, T ), Y, T ) }.
% 2.84/3.25 (173) {G1,W8,D2,L2,V3,M2} R(1,0) { ! coll( X, Y, Z ), coll( Y, Z, X ) }.
% 2.84/3.25 (191) {G1,W12,D2,L3,V4,M3} R(2,0) { ! coll( X, Y, Z ), ! coll( X, Y, T ),
% 2.84/3.25 coll( Z, X, T ) }.
% 2.84/3.25 (194) {G1,W8,D2,L2,V1,M2} R(2,130) { ! coll( skol23, X, skol22 ), ! coll(
% 2.84/3.25 skol23, X, skol20 ) }.
% 2.84/3.25 (195) {G2,W8,D2,L2,V3,M2} F(191) { ! coll( X, Y, Z ), coll( Z, X, Z ) }.
% 2.84/3.25 (219) {G3,W12,D2,L3,V4,M3} R(195,2) { coll( X, Y, X ), ! coll( X, Z, Y ), !
% 2.84/3.25 coll( X, Z, T ) }.
% 2.84/3.25 (222) {G3,W8,D2,L2,V3,M2} R(195,1) { coll( X, Y, X ), ! coll( Z, Y, X ) }.
% 2.84/3.25 (227) {G4,W8,D2,L2,V3,M2} F(219) { coll( X, Y, X ), ! coll( X, Z, Y ) }.
% 2.84/3.25 (287) {G1,W4,D2,L1,V0,M1} R(10,126) { midp( skol39, skol28, skol25 ) }.
% 2.84/3.25 (295) {G5,W8,D2,L2,V3,M2} R(227,1) { ! coll( X, Y, Z ), coll( Z, X, X ) }.
% 2.84/3.25 (300) {G6,W8,D2,L2,V3,M2} R(295,1) { coll( X, Y, Y ), ! coll( Z, Y, X ) }.
% 2.84/3.25 (301) {G6,W8,D2,L2,V3,M2} R(295,0) { coll( X, Y, Y ), ! coll( Y, X, Z ) }.
% 2.84/3.25 (302) {G7,W8,D2,L2,V3,M2} R(300,295) { ! coll( X, Y, Z ), coll( Y, Z, Z )
% 2.84/3.25 }.
% 2.84/3.25 (305) {G7,W8,D2,L2,V3,M2} R(301,301) { ! coll( X, Y, Z ), coll( X, Y, Y )
% 2.84/3.25 }.
% 2.84/3.25 (308) {G8,W12,D2,L3,V4,M3} R(305,2) { ! coll( X, Y, Z ), ! coll( X, Y, T )
% 2.84/3.25 , coll( T, Y, X ) }.
% 2.84/3.25 (309) {G9,W8,D2,L2,V3,M2} F(308) { ! coll( X, Y, Z ), coll( Z, Y, X ) }.
% 2.84/3.25 (311) {G10,W8,D2,L2,V3,M2} R(309,301) { coll( X, X, Y ), ! coll( X, Y, Z )
% 2.84/3.25 }.
% 2.84/3.25 (313) {G10,W8,D2,L2,V3,M2} R(309,300) { coll( X, X, Y ), ! coll( Z, X, Y )
% 2.84/3.25 }.
% 2.84/3.25 (314) {G10,W12,D2,L3,V4,M3} R(309,2) { coll( X, Y, Z ), ! coll( X, T, Z ),
% 2.84/3.25 ! coll( X, T, Y ) }.
% 2.84/3.25 (323) {G11,W12,D2,L3,V4,M3} R(311,2) { ! coll( X, Y, Z ), ! coll( X, X, T )
% 2.84/3.25 , coll( T, Y, X ) }.
% 2.84/3.25 (367) {G11,W8,D2,L2,V3,M2} R(69,313) { ! midp( X, Y, Z ), coll( Y, Y, Z )
% 2.84/3.25 }.
% 2.84/3.25 (374) {G8,W8,D2,L2,V3,M2} R(69,302) { ! midp( X, Y, Z ), coll( Y, Z, Z )
% 2.84/3.25 }.
% 2.84/3.25 (381) {G2,W4,D2,L1,V0,M1} R(69,287) { coll( skol39, skol28, skol25 ) }.
% 2.84/3.25 (402) {G4,W4,D2,L1,V0,M1} R(381,222) { coll( skol25, skol28, skol25 ) }.
% 2.84/3.25 (406) {G11,W4,D2,L1,V0,M1} R(381,313) { coll( skol28, skol28, skol25 ) }.
% 2.84/3.25 (7703) {G12,W10,D3,L2,V1,M2} R(153,287);r(406) { ! coll( skol25, skol28,
% 2.84/3.25 skol25 ), midp( skol7( skol28, X ), skol28, X ) }.
% 2.84/3.25 (20047) {G13,W6,D3,L1,V1,M1} S(7703);r(402) { midp( skol7( skol28, X ),
% 2.84/3.25 skol28, X ) }.
% 2.84/3.25 (20114) {G14,W4,D2,L1,V1,M1} R(20047,374) { coll( skol28, X, X ) }.
% 2.84/3.25 (20119) {G14,W4,D2,L1,V1,M1} R(20047,367) { coll( skol28, skol28, X ) }.
% 2.84/3.25 (20157) {G15,W4,D2,L1,V2,M1} R(20114,323);r(20119) { coll( X, Y, skol28 )
% 2.84/3.25 }.
% 2.84/3.25 (20292) {G16,W4,D2,L1,V2,M1} R(20157,173) { coll( X, skol28, Y ) }.
% 2.84/3.25 (20297) {G17,W4,D2,L1,V3,M1} R(20292,314);r(20292) { coll( X, Y, Z ) }.
% 2.84/3.25 (20298) {G18,W0,D0,L0,V0,M0} R(20292,194);r(20297) { }.
% 2.84/3.25
% 2.84/3.25
% 2.84/3.25 % SZS output end Refutation
% 2.84/3.25 found a proof!
% 2.84/3.25
% 2.84/3.25
% 2.84/3.25 Unprocessed initial clauses:
% 2.84/3.25
% 2.84/3.25 (20300) {G0,W8,D2,L2,V3,M2} { ! coll( X, Y, Z ), coll( X, Z, Y ) }.
% 2.84/3.25 (20301) {G0,W8,D2,L2,V3,M2} { ! coll( X, Y, Z ), coll( Y, X, Z ) }.
% 2.84/3.25 (20302) {G0,W12,D2,L3,V4,M3} { ! coll( X, T, Y ), ! coll( X, T, Z ), coll
% 2.84/3.25 ( Y, Z, X ) }.
% 2.84/3.25 (20303) {G0,W10,D2,L2,V4,M2} { ! para( X, Y, Z, T ), para( X, Y, T, Z )
% 2.84/3.25 }.
% 2.84/3.25 (20304) {G0,W10,D2,L2,V4,M2} { ! para( X, Y, Z, T ), para( Z, T, X, Y )
% 2.84/3.25 }.
% 2.84/3.25 (20305) {G0,W15,D2,L3,V6,M3} { ! para( X, Y, U, W ), ! para( U, W, Z, T )
% 2.84/3.25 , para( X, Y, Z, T ) }.
% 2.84/3.25 (20306) {G0,W10,D2,L2,V4,M2} { ! perp( X, Y, Z, T ), perp( X, Y, T, Z )
% 2.84/3.25 }.
% 2.84/3.25 (20307) {G0,W10,D2,L2,V4,M2} { ! perp( X, Y, Z, T ), perp( Z, T, X, Y )
% 2.84/3.25 }.
% 2.84/3.25 (20308) {G0,W15,D2,L3,V6,M3} { ! perp( X, Y, U, W ), ! perp( U, W, Z, T )
% 2.84/3.25 , para( X, Y, Z, T ) }.
% 2.84/3.25 (20309) {G0,W15,D2,L3,V6,M3} { ! para( X, Y, U, W ), ! perp( U, W, Z, T )
% 2.84/3.25 , perp( X, Y, Z, T ) }.
% 2.84/3.25 (20310) {G0,W8,D2,L2,V3,M2} { ! midp( Z, Y, X ), midp( Z, X, Y ) }.
% 2.84/3.25 (20311) {G0,W15,D2,L3,V4,M3} { ! cong( T, X, T, Y ), ! cong( T, X, T, Z )
% 2.84/3.25 , circle( T, X, Y, Z ) }.
% 2.84/3.25 (20312) {G0,W20,D2,L4,V5,M4} { ! cong( U, X, U, Y ), ! cong( U, X, U, Z )
% 2.84/3.25 , ! cong( U, X, U, T ), cyclic( X, Y, Z, T ) }.
% 2.84/3.25 (20313) {G0,W10,D2,L2,V4,M2} { ! cyclic( X, Y, Z, T ), cyclic( X, Y, T, Z
% 2.84/3.25 ) }.
% 2.84/3.25 (20314) {G0,W10,D2,L2,V4,M2} { ! cyclic( X, Y, Z, T ), cyclic( X, Z, Y, T
% 2.84/3.25 ) }.
% 2.84/3.25 (20315) {G0,W10,D2,L2,V4,M2} { ! cyclic( X, Y, Z, T ), cyclic( Y, X, Z, T
% 2.84/3.25 ) }.
% 2.84/3.25 (20316) {G0,W15,D2,L3,V5,M3} { ! cyclic( U, X, Y, Z ), ! cyclic( U, X, Y,
% 2.84/3.25 T ), cyclic( X, Y, Z, T ) }.
% 2.84/3.25 (20317) {G0,W18,D2,L2,V8,M2} { ! eqangle( X, Y, Z, T, U, W, V0, V1 ),
% 2.84/3.25 eqangle( Y, X, Z, T, U, W, V0, V1 ) }.
% 2.84/3.25 (20318) {G0,W18,D2,L2,V8,M2} { ! eqangle( X, Y, Z, T, U, W, V0, V1 ),
% 2.84/3.25 eqangle( Z, T, X, Y, V0, V1, U, W ) }.
% 2.84/3.25 (20319) {G0,W18,D2,L2,V8,M2} { ! eqangle( X, Y, Z, T, U, W, V0, V1 ),
% 2.84/3.25 eqangle( U, W, V0, V1, X, Y, Z, T ) }.
% 2.84/3.25 (20320) {G0,W18,D2,L2,V8,M2} { ! eqangle( X, Y, Z, T, U, W, V0, V1 ),
% 2.84/3.25 eqangle( X, Y, U, W, Z, T, V0, V1 ) }.
% 2.84/3.25 (20321) {G0,W27,D2,L3,V12,M3} { ! eqangle( X, Y, Z, T, V2, V3, V4, V5 ), !
% 2.84/3.25 eqangle( V2, V3, V4, V5, U, W, V0, V1 ), eqangle( X, Y, Z, T, U, W, V0,
% 2.84/3.25 V1 ) }.
% 2.84/3.25 (20322) {G0,W10,D2,L2,V4,M2} { ! cong( X, Y, Z, T ), cong( X, Y, T, Z )
% 2.84/3.25 }.
% 2.84/3.25 (20323) {G0,W10,D2,L2,V4,M2} { ! cong( X, Y, Z, T ), cong( Z, T, X, Y )
% 2.84/3.25 }.
% 2.84/3.25 (20324) {G0,W15,D2,L3,V6,M3} { ! cong( X, Y, U, W ), ! cong( U, W, Z, T )
% 2.84/3.25 , cong( X, Y, Z, T ) }.
% 2.84/3.25 (20325) {G0,W18,D2,L2,V8,M2} { ! eqratio( X, Y, Z, T, U, W, V0, V1 ),
% 2.84/3.25 eqratio( Y, X, Z, T, U, W, V0, V1 ) }.
% 2.84/3.25 (20326) {G0,W18,D2,L2,V8,M2} { ! eqratio( X, Y, Z, T, U, W, V0, V1 ),
% 2.84/3.25 eqratio( Z, T, X, Y, V0, V1, U, W ) }.
% 2.84/3.25 (20327) {G0,W18,D2,L2,V8,M2} { ! eqratio( X, Y, Z, T, U, W, V0, V1 ),
% 2.84/3.25 eqratio( U, W, V0, V1, X, Y, Z, T ) }.
% 2.84/3.25 (20328) {G0,W18,D2,L2,V8,M2} { ! eqratio( X, Y, Z, T, U, W, V0, V1 ),
% 2.84/3.25 eqratio( X, Y, U, W, Z, T, V0, V1 ) }.
% 2.84/3.25 (20329) {G0,W27,D2,L3,V12,M3} { ! eqratio( X, Y, Z, T, V2, V3, V4, V5 ), !
% 2.84/3.25 eqratio( V2, V3, V4, V5, U, W, V0, V1 ), eqratio( X, Y, Z, T, U, W, V0,
% 2.84/3.25 V1 ) }.
% 2.84/3.25 (20330) {G0,W14,D2,L2,V6,M2} { ! simtri( X, Z, Y, T, W, U ), simtri( X, Y
% 2.84/3.25 , Z, T, U, W ) }.
% 2.84/3.25 (20331) {G0,W14,D2,L2,V6,M2} { ! simtri( Y, X, Z, U, T, W ), simtri( X, Y
% 2.84/3.25 , Z, T, U, W ) }.
% 2.84/3.25 (20332) {G0,W14,D2,L2,V6,M2} { ! simtri( T, U, W, X, Y, Z ), simtri( X, Y
% 2.84/3.25 , Z, T, U, W ) }.
% 2.84/3.25 (20333) {G0,W21,D2,L3,V9,M3} { ! simtri( X, Y, Z, V0, V1, V2 ), ! simtri(
% 2.84/3.25 V0, V1, V2, T, U, W ), simtri( X, Y, Z, T, U, W ) }.
% 2.84/3.25 (20334) {G0,W14,D2,L2,V6,M2} { ! contri( X, Z, Y, T, W, U ), contri( X, Y
% 2.84/3.25 , Z, T, U, W ) }.
% 2.84/3.25 (20335) {G0,W14,D2,L2,V6,M2} { ! contri( Y, X, Z, U, T, W ), contri( X, Y
% 2.84/3.25 , Z, T, U, W ) }.
% 2.84/3.25 (20336) {G0,W14,D2,L2,V6,M2} { ! contri( T, U, W, X, Y, Z ), contri( X, Y
% 2.84/3.25 , Z, T, U, W ) }.
% 2.84/3.25 (20337) {G0,W21,D2,L3,V9,M3} { ! contri( X, Y, Z, V0, V1, V2 ), ! contri(
% 2.84/3.25 V0, V1, V2, T, U, W ), contri( X, Y, Z, T, U, W ) }.
% 2.84/3.25 (20338) {G0,W14,D2,L2,V6,M2} { ! eqangle( X, Y, U, W, Z, T, U, W ), para(
% 2.84/3.25 X, Y, Z, T ) }.
% 2.84/3.25 (20339) {G0,W14,D2,L2,V6,M2} { ! para( X, Y, Z, T ), eqangle( X, Y, U, W,
% 2.84/3.25 Z, T, U, W ) }.
% 2.84/3.25 (20340) {G0,W14,D2,L2,V4,M2} { ! cyclic( X, Y, Z, T ), eqangle( Z, X, Z, Y
% 2.84/3.25 , T, X, T, Y ) }.
% 2.84/3.25 (20341) {G0,W18,D2,L3,V4,M3} { ! eqangle( Z, X, Z, Y, T, X, T, Y ), coll(
% 2.84/3.25 Z, T, X ), cyclic( X, Y, Z, T ) }.
% 2.84/3.25 (20342) {G0,W18,D2,L3,V4,M3} { ! eqangle( Z, X, Z, Y, T, X, T, Y ), ! coll
% 2.84/3.25 ( Z, T, Y ), cyclic( X, Y, Z, T ) }.
% 2.84/3.25 (20343) {G0,W29,D2,L5,V6,M5} { ! cyclic( X, Y, U, Z ), ! cyclic( X, Y, U,
% 2.84/3.25 T ), ! cyclic( X, Y, U, W ), ! eqangle( U, X, U, Y, W, Z, W, T ), cong( X
% 2.84/3.25 , Y, Z, T ) }.
% 2.84/3.25 (20344) {G0,W13,D2,L3,V5,M3} { ! midp( Z, U, X ), ! midp( T, U, Y ), para
% 2.84/3.25 ( Z, T, X, Y ) }.
% 2.84/3.25 (20345) {G0,W17,D2,L4,V5,M4} { ! midp( U, X, T ), ! para( U, Z, T, Y ), !
% 2.84/3.25 coll( Z, X, Y ), midp( Z, X, Y ) }.
% 2.84/3.25 (20346) {G0,W14,D2,L2,V3,M2} { ! cong( Z, X, Z, Y ), eqangle( Z, X, X, Y,
% 2.84/3.25 X, Y, Z, Y ) }.
% 2.84/3.25 (20347) {G0,W18,D2,L3,V3,M3} { ! eqangle( Z, X, X, Y, X, Y, Z, Y ), coll(
% 2.84/3.25 Z, X, Y ), cong( Z, X, Z, Y ) }.
% 2.84/3.25 (20348) {G0,W19,D2,L3,V5,M3} { ! circle( U, X, Y, Z ), ! perp( U, X, X, T
% 2.84/3.25 ), eqangle( X, T, X, Y, Z, X, Z, Y ) }.
% 2.84/3.25 (20349) {G0,W19,D2,L3,V5,M3} { ! circle( Y, X, T, U ), ! eqangle( X, Z, X
% 2.84/3.25 , T, U, X, U, T ), perp( Y, X, X, Z ) }.
% 2.84/3.25 (20350) {G0,W18,D2,L3,V5,M3} { ! circle( T, X, Y, Z ), ! midp( U, Y, Z ),
% 2.84/3.25 eqangle( X, Y, X, Z, T, Y, T, U ) }.
% 2.84/3.25 (20351) {G0,W22,D2,L4,V5,M4} { ! circle( U, T, X, Y ), ! coll( Z, X, Y ),
% 2.84/3.25 ! eqangle( T, X, T, Y, U, X, U, Z ), midp( Z, X, Y ) }.
% 2.84/3.25 (20352) {G0,W14,D2,L3,V4,M3} { ! perp( X, Y, Y, T ), ! midp( Z, X, T ),
% 2.84/3.25 cong( X, Z, Y, Z ) }.
% 2.84/3.25 (20353) {G0,W14,D2,L3,V4,M3} { ! circle( T, X, Y, Z ), ! coll( T, X, Z ),
% 2.84/3.25 perp( X, Y, Y, Z ) }.
% 2.84/3.25 (20354) {G0,W19,D2,L3,V4,M3} { ! cyclic( X, Y, Z, T ), ! para( X, Y, Z, T
% 2.84/3.25 ), eqangle( X, T, Z, T, Z, T, Z, Y ) }.
% 2.84/3.25 (20355) {G0,W14,D2,L3,V4,M3} { ! midp( T, X, Y ), ! perp( Z, T, X, Y ),
% 2.84/3.25 cong( Z, X, Z, Y ) }.
% 2.84/3.25 (20356) {G0,W15,D2,L3,V4,M3} { ! cong( X, Z, Y, Z ), ! cong( X, T, Y, T )
% 2.84/3.25 , perp( X, Y, Z, T ) }.
% 2.84/3.25 (20357) {G0,W20,D2,L4,V4,M4} { ! cong( X, Y, T, Y ), ! cong( X, Z, T, Z )
% 2.84/3.25 , ! cyclic( X, T, Y, Z ), perp( Y, X, X, Z ) }.
% 2.84/3.25 (20358) {G0,W29,D2,L4,V6,M4} { ! eqangle( X, Y, Y, Z, T, U, U, W ), !
% 2.84/3.25 eqangle( X, Z, Y, Z, T, W, U, W ), coll( X, Y, Z ), simtri( X, Y, Z, T, U
% 2.84/3.25 , W ) }.
% 2.84/3.25 (20359) {G0,W16,D2,L2,V6,M2} { ! simtri( X, Y, Z, T, U, W ), eqratio( X, Y
% 2.84/3.25 , X, Z, T, U, T, W ) }.
% 2.84/3.25 (20360) {G0,W16,D2,L2,V6,M2} { ! simtri( X, Y, Z, T, U, W ), eqangle( X, Y
% 2.84/3.25 , Y, Z, T, U, U, W ) }.
% 2.84/3.25 (20361) {G0,W19,D2,L3,V6,M3} { ! simtri( X, Y, Z, T, U, W ), ! cong( X, Y
% 2.84/3.25 , T, U ), contri( X, Y, Z, T, U, W ) }.
% 2.84/3.25 (20362) {G0,W12,D2,L2,V6,M2} { ! contri( X, Y, U, Z, T, W ), cong( X, Y, Z
% 2.84/3.25 , T ) }.
% 2.84/3.25 (20363) {G0,W13,D2,L3,V5,M3} { ! midp( U, X, Y ), ! midp( U, Z, T ), para
% 2.84/3.25 ( X, Z, Y, T ) }.
% 2.84/3.25 (20364) {G0,W18,D2,L4,V5,M4} { ! midp( Z, T, U ), ! para( T, X, U, Y ), !
% 2.84/3.25 para( T, Y, U, X ), midp( Z, X, Y ) }.
% 2.84/3.25 (20365) {G0,W22,D2,L4,V5,M4} { ! para( X, Y, Z, T ), ! coll( U, X, Z ), !
% 2.84/3.25 coll( U, Y, T ), eqratio( U, X, X, Z, U, Y, Y, T ) }.
% 2.84/3.25 (20366) {G0,W9,D2,L2,V3,M2} { ! para( X, Y, X, Z ), coll( X, Y, Z ) }.
% 2.84/3.25 (20367) {G0,W13,D2,L3,V3,M3} { ! cong( X, Y, X, Z ), ! coll( X, Y, Z ),
% 2.84/3.25 midp( X, Y, Z ) }.
% 2.84/3.25 (20368) {G0,W9,D2,L2,V3,M2} { ! midp( X, Y, Z ), cong( X, Y, X, Z ) }.
% 2.84/3.25 (20369) {G0,W8,D2,L2,V3,M2} { ! midp( X, Y, Z ), coll( X, Y, Z ) }.
% 2.84/3.25 (20370) {G0,W17,D2,L3,V6,M3} { ! midp( U, X, Y ), ! midp( W, Z, T ),
% 2.84/3.25 eqratio( U, X, X, Y, W, Z, Z, T ) }.
% 2.84/3.25 (20371) {G0,W19,D2,L3,V4,M3} { ! eqangle( X, Y, Z, T, Z, T, X, Y ), para(
% 2.84/3.25 X, Y, Z, T ), perp( X, Y, Z, T ) }.
% 2.84/3.25 (20372) {G0,W19,D2,L3,V4,M3} { ! eqangle( X, Y, Z, T, Z, T, X, Y ), perp(
% 2.84/3.25 X, Y, Z, T ), para( X, Y, Z, T ) }.
% 2.84/3.25 (20373) {G0,W19,D2,L3,V8,M3} { ! eqangle( X, Y, Z, T, U, W, V0, V1 ), !
% 2.84/3.25 para( U, W, V0, V1 ), para( X, Y, Z, T ) }.
% 2.84/3.25 (20374) {G0,W19,D2,L3,V8,M3} { ! eqangle( X, Y, Z, T, U, W, V0, V1 ), !
% 2.84/3.25 perp( U, W, V0, V1 ), perp( X, Y, Z, T ) }.
% 2.84/3.25 (20375) {G0,W19,D2,L3,V8,M3} { ! eqratio( X, Y, Z, T, U, W, V0, V1 ), !
% 2.84/3.25 cong( U, W, V0, V1 ), cong( X, Y, Z, T ) }.
% 2.84/3.25 (20376) {G0,W22,D3,L3,V6,M3} { ! perp( Z, Y, Y, X ), ! eqangle( T, Z, Y, Z
% 2.84/3.25 , Y, Z, X, Z ), coll( skol1( U, W, Z, T ), Z, T ) }.
% 2.84/3.25 (20377) {G0,W22,D3,L3,V4,M3} { ! perp( Z, Y, Y, X ), ! eqangle( T, Z, Y, Z
% 2.84/3.25 , Y, Z, X, Z ), coll( skol1( X, Y, Z, T ), X, Y ) }.
% 2.84/3.25 (20378) {G0,W22,D3,L3,V6,M3} { ! cong( Z, X, Z, Y ), ! eqangle( X, Z, Z, T
% 2.84/3.25 , Z, T, Z, Y ), coll( skol2( U, W, Z, T ), Z, T ) }.
% 2.84/3.25 (20379) {G0,W22,D3,L3,V4,M3} { ! cong( Z, X, Z, Y ), ! eqangle( X, Z, Z, T
% 2.84/3.25 , Z, T, Z, Y ), coll( Y, X, skol2( X, Y, Z, T ) ) }.
% 2.84/3.25 (20380) {G0,W22,D3,L3,V6,M3} { ! perp( Z, T, X, Y ), ! eqangle( X, Z, Z, T
% 2.84/3.25 , Z, T, Z, Y ), coll( skol3( U, W, Z, T ), Z, T ) }.
% 2.84/3.25 (20381) {G0,W22,D3,L3,V4,M3} { ! perp( Z, T, X, Y ), ! eqangle( X, Z, Z, T
% 2.84/3.25 , Z, T, Z, Y ), coll( Y, X, skol3( X, Y, Z, T ) ) }.
% 2.84/3.25 (20382) {G0,W18,D3,L3,V6,M3} { ! perp( Z, T, X, Y ), ! cong( Z, X, Z, Y )
% 2.84/3.25 , coll( skol4( U, W, Z, T ), Z, T ) }.
% 2.84/3.25 (20383) {G0,W18,D3,L3,V4,M3} { ! perp( Z, T, X, Y ), ! cong( Z, X, Z, Y )
% 2.84/3.25 , coll( Y, X, skol4( X, Y, Z, T ) ) }.
% 2.84/3.25 (20384) {G0,W22,D3,L3,V6,M3} { ! eqangle( X, Z, Y, Z, X, T, Y, U ), coll(
% 2.84/3.25 X, Y, Z ), cyclic( T, Y, Z, skol5( W, Y, Z, T ) ) }.
% 2.84/3.25 (20385) {G0,W30,D3,L3,V5,M3} { ! eqangle( X, Z, Y, Z, X, T, Y, U ), coll(
% 2.84/3.25 X, Y, Z ), eqangle( X, Z, Y, Z, X, skol5( X, Y, Z, T ), Y, skol5( X, Y, Z
% 2.84/3.25 , T ) ) }.
% 2.84/3.25 (20386) {G0,W18,D3,L3,V10,M3} { ! midp( U, X, Y ), ! midp( W, Z, T ), midp
% 2.84/3.25 ( skol6( X, V0, V1, T, V2, V3 ), X, T ) }.
% 2.84/3.25 (20387) {G0,W19,D3,L3,V8,M3} { ! midp( U, X, Y ), ! midp( W, Z, T ), para
% 2.84/3.25 ( skol6( X, V0, Z, T, V1, W ), W, X, Z ) }.
% 2.84/3.25 (20388) {G0,W19,D3,L3,V6,M3} { ! midp( U, X, Y ), ! midp( W, Z, T ), para
% 2.84/3.25 ( skol6( X, Y, Z, T, U, W ), U, Y, T ) }.
% 2.84/3.25 (20389) {G0,W22,D3,L5,V7,M5} { ! midp( Z, X, Y ), ! midp( W, T, U ), !
% 2.84/3.25 coll( T, X, Y ), ! coll( U, X, Y ), midp( skol7( X, V0 ), X, V0 ) }.
% 2.84/3.25 (20390) {G0,W26,D3,L5,V8,M5} { ! midp( T, X, U ), ! para( X, W, Z, T ), !
% 2.84/3.25 para( X, W, U, Y ), ! coll( W, Y, Z ), coll( skol8( V0, V1, Z, T ), T, Z
% 2.84/3.25 ) }.
% 2.84/3.25 (20391) {G0,W26,D3,L5,V6,M5} { ! midp( T, X, U ), ! para( X, W, Z, T ), !
% 2.84/3.25 para( X, W, U, Y ), ! coll( W, Y, Z ), coll( skol8( X, Y, Z, T ), X, Y )
% 2.84/3.25 }.
% 2.84/3.25 (20392) {G0,W19,D3,L3,V7,M3} { ! cong( T, Z, T, U ), ! perp( X, Y, Y, T )
% 2.84/3.25 , cong( T, Z, T, skol9( W, V0, Z, T ) ) }.
% 2.84/3.25 (20393) {G0,W19,D3,L3,V6,M3} { ! cong( T, Z, T, U ), ! perp( X, Y, Y, T )
% 2.84/3.25 , cong( Y, Z, Y, skol9( W, Y, Z, T ) ) }.
% 2.84/3.25 (20394) {G0,W19,D3,L3,V5,M3} { ! cong( T, Z, T, U ), ! perp( X, Y, Y, T )
% 2.84/3.25 , para( skol9( X, Y, Z, T ), Z, X, Y ) }.
% 2.84/3.25 (20395) {G0,W17,D3,L3,V5,M3} { ! perp( X, T, Y, Z ), ! perp( Y, T, X, Z )
% 2.84/3.25 , coll( skol10( U, Y, Z ), Z, Y ) }.
% 2.84/3.25 (20396) {G0,W18,D3,L3,V4,M3} { ! perp( X, T, Y, Z ), ! perp( Y, T, X, Z )
% 2.84/3.25 , perp( X, skol10( X, Y, Z ), Z, Y ) }.
% 2.84/3.25 (20397) {G0,W14,D2,L3,V4,M3} { ! perp( X, T, Y, Z ), ! perp( Y, T, X, Z )
% 2.84/3.25 , alpha1( X, Y, Z ) }.
% 2.84/3.25 (20398) {G0,W11,D3,L2,V4,M2} { ! alpha1( X, Y, Z ), coll( skol11( X, T, Z
% 2.84/3.25 ), Z, X ) }.
% 2.84/3.25 (20399) {G0,W12,D3,L2,V3,M2} { ! alpha1( X, Y, Z ), perp( Y, skol11( X, Y
% 2.84/3.25 , Z ), Z, X ) }.
% 2.84/3.25 (20400) {G0,W13,D2,L3,V4,M3} { ! coll( T, Z, X ), ! perp( Y, T, Z, X ),
% 2.84/3.25 alpha1( X, Y, Z ) }.
% 2.84/3.25 (20401) {G0,W12,D3,L2,V4,M2} { ! circle( Y, X, Z, T ), perp( skol12( X, Y
% 2.84/3.25 ), X, X, Y ) }.
% 2.84/3.25 (20402) {G0,W28,D3,L5,V8,M5} { ! circle( W, X, Y, Z ), ! cong( W, X, W, T
% 2.84/3.25 ), ! cong( U, X, U, Y ), W = U, alpha2( X, Z, U, skol13( X, V0, Z, V1, U
% 2.84/3.25 ) ) }.
% 2.84/3.25 (20403) {G0,W26,D3,L5,V8,M5} { ! circle( W, X, Y, Z ), ! cong( W, X, W, T
% 2.84/3.25 ), ! cong( U, X, U, Y ), W = U, coll( skol21( V0, Y, T, V1 ), Y, T ) }.
% 2.84/3.25 (20404) {G0,W27,D3,L5,V6,M5} { ! circle( W, X, Y, Z ), ! cong( W, X, W, T
% 2.84/3.25 ), ! cong( U, X, U, Y ), W = U, cong( skol21( X, Y, T, U ), U, U, X )
% 2.84/3.25 }.
% 2.84/3.25 (20405) {G0,W9,D2,L2,V4,M2} { ! alpha2( X, Y, Z, T ), coll( T, X, Y ) }.
% 2.84/3.25 (20406) {G0,W10,D2,L2,V4,M2} { ! alpha2( X, Y, Z, T ), cong( T, Z, Z, X )
% 2.84/3.25 }.
% 2.84/3.25 (20407) {G0,W14,D2,L3,V4,M3} { ! coll( T, X, Y ), ! cong( T, Z, Z, X ),
% 2.84/3.25 alpha2( X, Y, Z, T ) }.
% 2.84/3.25 (20408) {G0,W22,D3,L4,V5,M4} { ! cyclic( X, Y, Z, T ), ! para( X, Y, Z, T
% 2.84/3.25 ), ! midp( U, X, Y ), circle( skol14( X, Y, Z ), X, Y, Z ) }.
% 2.84/3.25 (20409) {G0,W18,D3,L3,V4,M3} { ! perp( X, Z, Z, Y ), ! cyclic( X, Y, Z, T
% 2.84/3.25 ), circle( skol15( X, Y, Z ), X, Y, Z ) }.
% 2.84/3.25 (20410) {G0,W16,D3,L3,V6,M3} { ! perp( X, U, U, T ), ! coll( T, Y, Z ),
% 2.84/3.25 coll( skol16( W, Y, Z ), Y, Z ) }.
% 2.84/3.25 (20411) {G0,W17,D3,L3,V5,M3} { ! perp( X, U, U, T ), ! coll( T, Y, Z ),
% 2.84/3.25 perp( skol16( X, Y, Z ), X, Y, Z ) }.
% 2.84/3.25 (20412) {G0,W20,D3,L4,V5,M4} { ! perp( X, Z, X, Y ), ! perp( Y, X, Y, T )
% 2.84/3.25 , ! midp( U, Z, T ), midp( skol17( X, Y ), X, Y ) }.
% 2.84/3.25 (20413) {G0,W16,D3,L3,V3,M3} { ! cong( Y, X, Y, Z ), ! perp( X, Y, Y, Z )
% 2.84/3.25 , coll( X, Y, skol18( X, Y ) ) }.
% 2.84/3.25 (20414) {G0,W17,D3,L3,V3,M3} { ! cong( Y, X, Y, Z ), ! perp( X, Y, Y, Z )
% 2.84/3.25 , cong( Y, X, Y, skol18( X, Y ) ) }.
% 2.84/3.25 (20415) {G0,W25,D3,L5,V8,M5} { ! para( U, W, X, Y ), ! coll( Z, U, X ), !
% 2.84/3.25 coll( Z, W, Y ), ! coll( T, U, W ), coll( Z, T, skol19( V0, V1, Z, T ) )
% 2.84/3.25 }.
% 2.84/3.25 (20416) {G0,W25,D3,L5,V6,M5} { ! para( U, W, X, Y ), ! coll( Z, U, X ), !
% 2.84/3.25 coll( Z, W, Y ), ! coll( T, U, W ), coll( skol19( X, Y, Z, T ), X, Y )
% 2.84/3.25 }.
% 2.84/3.25 (20417) {G0,W5,D2,L1,V0,M1} { circle( skol27, skol24, skol25, skol26 ) }.
% 2.84/3.25 (20418) {G0,W5,D2,L1,V0,M1} { circle( skol27, skol24, skol28, skol29 ) }.
% 2.84/3.25 (20419) {G0,W4,D2,L1,V0,M1} { midp( skol30, skol26, skol28 ) }.
% 2.84/3.25 (20420) {G0,W4,D2,L1,V0,M1} { midp( skol31, skol24, skol28 ) }.
% 2.84/3.25 (20421) {G0,W5,D2,L1,V0,M1} { circle( skol30, skol28, skol32, skol33 ) }.
% 2.84/3.25 (20422) {G0,W5,D2,L1,V0,M1} { circle( skol31, skol28, skol34, skol35 ) }.
% 2.84/3.25 (20423) {G0,W5,D2,L1,V0,M1} { circle( skol30, skol28, skol20, skol36 ) }.
% 2.84/3.25 (20424) {G0,W5,D2,L1,V0,M1} { circle( skol31, skol28, skol20, skol37 ) }.
% 2.84/3.25 (20425) {G0,W4,D2,L1,V0,M1} { coll( skol22, skol24, skol25 ) }.
% 2.84/3.25 (20426) {G0,W5,D2,L1,V0,M1} { circle( skol31, skol28, skol22, skol38 ) }.
% 2.84/3.25 (20427) {G0,W4,D2,L1,V0,M1} { midp( skol39, skol25, skol28 ) }.
% 2.84/3.25 (20428) {G0,W5,D2,L1,V0,M1} { circle( skol39, skol25, skol40, skol41 ) }.
% 2.84/3.25 (20429) {G0,W5,D2,L1,V0,M1} { circle( skol30, skol28, skol23, skol42 ) }.
% 2.84/3.25 (20430) {G0,W5,D2,L1,V0,M1} { circle( skol39, skol25, skol23, skol43 ) }.
% 2.84/3.25 (20431) {G0,W4,D2,L1,V0,M1} { ! coll( skol22, skol20, skol23 ) }.
% 2.84/3.25
% 2.84/3.25
% 2.84/3.25 Total Proof:
% 2.84/3.25
% 2.84/3.25 subsumption: (0) {G0,W8,D2,L2,V3,M2} I { ! coll( X, Y, Z ), coll( X, Z, Y )
% 2.84/3.25 }.
% 2.84/3.25 parent0: (20300) {G0,W8,D2,L2,V3,M2} { ! coll( X, Y, Z ), coll( X, Z, Y )
% 2.84/3.25 }.
% 2.84/3.25 substitution0:
% 2.84/3.25 X := X
% 2.84/3.25 Y := Y
% 2.84/3.25 Z := Z
% 2.84/3.25 end
% 2.84/3.25 permutation0:
% 2.84/3.25 0 ==> 0
% 2.84/3.25 1 ==> 1
% 2.84/3.25 end
% 2.84/3.25
% 2.84/3.25 subsumption: (1) {G0,W8,D2,L2,V3,M2} I { ! coll( X, Y, Z ), coll( Y, X, Z )
% 2.84/3.25 }.
% 2.84/3.25 parent0: (20301) {G0,W8,D2,L2,V3,M2} { ! coll( X, Y, Z ), coll( Y, X, Z )
% 2.84/3.25 }.
% 2.84/3.25 substitution0:
% 2.84/3.25 X := X
% 2.84/3.25 Y := Y
% 2.84/3.25 Z := Z
% 2.84/3.25 end
% 2.84/3.25 permutation0:
% 2.84/3.25 0 ==> 0
% 2.84/3.25 1 ==> 1
% 2.84/3.25 end
% 2.84/3.25
% 2.84/3.25 subsumption: (2) {G0,W12,D2,L3,V4,M3} I { ! coll( X, T, Y ), ! coll( X, T,
% 2.84/3.25 Z ), coll( Y, Z, X ) }.
% 2.84/3.25 parent0: (20302) {G0,W12,D2,L3,V4,M3} { ! coll( X, T, Y ), ! coll( X, T, Z
% 2.84/3.25 ), coll( Y, Z, X ) }.
% 2.84/3.25 substitution0:
% 2.84/3.25 X := X
% 2.84/3.25 Y := Y
% 2.84/3.25 Z := Z
% 2.84/3.25 T := T
% 2.84/3.25 end
% 2.84/3.25 permutation0:
% 2.84/3.25 0 ==> 0
% 2.84/3.25 1 ==> 1
% 2.84/3.25 2 ==> 2
% 2.84/3.25 end
% 2.84/3.25
% 2.84/3.25 subsumption: (10) {G0,W8,D2,L2,V3,M2} I { ! midp( Z, Y, X ), midp( Z, X, Y
% 2.84/3.25 ) }.
% 2.84/3.25 parent0: (20310) {G0,W8,D2,L2,V3,M2} { ! midp( Z, Y, X ), midp( Z, X, Y )
% 2.84/3.25 }.
% 2.84/3.25 substitution0:
% 2.84/3.25 X := X
% 2.84/3.25 Y := Y
% 2.84/3.25 Z := Z
% 2.84/3.25 end
% 2.84/3.25 permutation0:
% 2.84/3.25 0 ==> 0
% 2.84/3.25 1 ==> 1
% 2.84/3.25 end
% 2.84/3.25
% 2.84/3.25 subsumption: (69) {G0,W8,D2,L2,V3,M2} I { ! midp( X, Y, Z ), coll( X, Y, Z
% 2.84/3.25 ) }.
% 2.84/3.25 parent0: (20369) {G0,W8,D2,L2,V3,M2} { ! midp( X, Y, Z ), coll( X, Y, Z )
% 2.84/3.25 }.
% 2.84/3.25 substitution0:
% 2.84/3.25 X := X
% 2.84/3.25 Y := Y
% 2.84/3.25 Z := Z
% 2.84/3.25 end
% 2.84/3.25 permutation0:
% 2.84/3.25 0 ==> 0
% 2.84/3.25 1 ==> 1
% 2.84/3.25 end
% 2.84/3.25
% 2.84/3.25 subsumption: (88) {G0,W22,D3,L5,V7,M5} I { ! midp( Z, X, Y ), ! midp( W, T
% 2.84/3.25 , U ), ! coll( T, X, Y ), ! coll( U, X, Y ), midp( skol7( X, V0 ), X, V0
% 2.84/3.25 ) }.
% 2.84/3.25 parent0: (20389) {G0,W22,D3,L5,V7,M5} { ! midp( Z, X, Y ), ! midp( W, T, U
% 2.84/3.25 ), ! coll( T, X, Y ), ! coll( U, X, Y ), midp( skol7( X, V0 ), X, V0 )
% 2.84/3.25 }.
% 2.84/3.25 substitution0:
% 2.84/3.25 X := X
% 2.84/3.25 Y := Y
% 2.84/3.25 Z := Z
% 2.84/3.25 T := T
% 2.84/3.25 U := U
% 2.84/3.25 W := W
% 2.84/3.25 V0 := V0
% 2.84/3.25 end
% 2.84/3.25 permutation0:
% 2.84/3.25 0 ==> 0
% 2.84/3.25 1 ==> 1
% 2.84/3.25 2 ==> 2
% 2.84/3.25 3 ==> 3
% 2.84/3.25 4 ==> 4
% 2.84/3.25 end
% 2.84/3.25
% 2.84/3.25 subsumption: (126) {G0,W4,D2,L1,V0,M1} I { midp( skol39, skol25, skol28 )
% 2.84/3.25 }.
% 2.84/3.25 parent0: (20427) {G0,W4,D2,L1,V0,M1} { midp( skol39, skol25, skol28 ) }.
% 2.84/3.25 substitution0:
% 2.84/3.25 end
% 2.84/3.25 permutation0:
% 2.84/3.25 0 ==> 0
% 2.84/3.25 end
% 2.84/3.25
% 2.84/3.25 subsumption: (130) {G0,W4,D2,L1,V0,M1} I { ! coll( skol22, skol20, skol23 )
% 2.84/3.25 }.
% 2.84/3.25 parent0: (20431) {G0,W4,D2,L1,V0,M1} { ! coll( skol22, skol20, skol23 )
% 2.84/3.25 }.
% 2.84/3.25 substitution0:
% 2.84/3.25 end
% 2.84/3.25 permutation0:
% 2.84/3.25 0 ==> 0
% 2.84/3.25 end
% 2.84/3.25
% 2.84/3.25 factor: (20597) {G0,W18,D3,L4,V4,M4} { ! midp( X, Y, Z ), ! coll( Y, Y, Z
% 2.84/3.25 ), ! coll( Z, Y, Z ), midp( skol7( Y, T ), Y, T ) }.
% 2.84/3.25 parent0[0, 1]: (88) {G0,W22,D3,L5,V7,M5} I { ! midp( Z, X, Y ), ! midp( W,
% 2.84/3.25 T, U ), ! coll( T, X, Y ), ! coll( U, X, Y ), midp( skol7( X, V0 ), X, V0
% 2.84/3.25 ) }.
% 2.84/3.25 substitution0:
% 2.84/3.25 X := Y
% 2.84/3.25 Y := Z
% 2.84/3.25 Z := X
% 2.84/3.25 T := Y
% 2.84/3.25 U := Z
% 2.84/3.25 W := X
% 2.84/3.25 V0 := T
% 2.84/3.25 end
% 2.84/3.25
% 2.84/3.25 subsumption: (153) {G1,W18,D3,L4,V4,M4} F(88) { ! midp( X, Y, Z ), ! coll(
% 2.84/3.25 Y, Y, Z ), ! coll( Z, Y, Z ), midp( skol7( Y, T ), Y, T ) }.
% 2.84/3.25 parent0: (20597) {G0,W18,D3,L4,V4,M4} { ! midp( X, Y, Z ), ! coll( Y, Y, Z
% 2.84/3.25 ), ! coll( Z, Y, Z ), midp( skol7( Y, T ), Y, T ) }.
% 2.84/3.25 substitution0:
% 2.84/3.25 X := X
% 2.84/3.25 Y := Y
% 2.84/3.25 Z := Z
% 2.84/3.25 T := T
% 2.84/3.25 end
% 2.84/3.25 permutation0:
% 2.84/3.25 0 ==> 0
% 2.84/3.25 1 ==> 1
% 2.84/3.25 2 ==> 2
% 2.84/3.25 3 ==> 3
% 2.84/3.25 end
% 2.84/3.25
% 2.84/3.25 resolution: (20601) {G1,W8,D2,L2,V3,M2} { coll( X, Z, Y ), ! coll( Y, X, Z
% 2.84/3.25 ) }.
% 2.84/3.25 parent0[0]: (0) {G0,W8,D2,L2,V3,M2} I { ! coll( X, Y, Z ), coll( X, Z, Y )
% 2.84/3.25 }.
% 2.84/3.25 parent1[1]: (1) {G0,W8,D2,L2,V3,M2} I { ! coll( X, Y, Z ), coll( Y, X, Z )
% 2.84/3.25 }.
% 2.84/3.25 substitution0:
% 2.84/3.25 X := X
% 2.84/3.25 Y := Y
% 2.84/3.25 Z := Z
% 2.84/3.25 end
% 2.84/3.25 substitution1:
% 2.84/3.25 X := Y
% 2.84/3.25 Y := X
% 2.84/3.25 Z := Z
% 2.84/3.25 end
% 2.84/3.25
% 2.84/3.25 subsumption: (173) {G1,W8,D2,L2,V3,M2} R(1,0) { ! coll( X, Y, Z ), coll( Y
% 2.84/3.25 , Z, X ) }.
% 2.84/3.25 parent0: (20601) {G1,W8,D2,L2,V3,M2} { coll( X, Z, Y ), ! coll( Y, X, Z )
% 2.84/3.25 }.
% 2.84/3.25 substitution0:
% 2.84/3.25 X := Y
% 2.84/3.25 Y := X
% 2.84/3.25 Z := Z
% 2.84/3.25 end
% 2.84/3.25 permutation0:
% 2.84/3.25 0 ==> 1
% 2.84/3.25 1 ==> 0
% 2.84/3.25 end
% 2.84/3.25
% 2.84/3.25 resolution: (20605) {G1,W12,D2,L3,V4,M3} { coll( X, Z, Y ), ! coll( Z, T,
% 2.84/3.25 X ), ! coll( Z, T, Y ) }.
% 2.84/3.25 parent0[0]: (0) {G0,W8,D2,L2,V3,M2} I { ! coll( X, Y, Z ), coll( X, Z, Y )
% 2.84/3.25 }.
% 2.84/3.25 parent1[2]: (2) {G0,W12,D2,L3,V4,M3} I { ! coll( X, T, Y ), ! coll( X, T, Z
% 2.84/3.25 ), coll( Y, Z, X ) }.
% 2.84/3.25 substitution0:
% 2.84/3.25 X := X
% 2.84/3.25 Y := Y
% 2.84/3.25 Z := Z
% 2.84/3.25 end
% 2.84/3.25 substitution1:
% 2.84/3.25 X := Z
% 2.84/3.25 Y := X
% 2.84/3.25 Z := Y
% 2.84/3.25 T := T
% 2.84/3.25 end
% 2.84/3.25
% 2.84/3.25 subsumption: (191) {G1,W12,D2,L3,V4,M3} R(2,0) { ! coll( X, Y, Z ), ! coll
% 2.84/3.25 ( X, Y, T ), coll( Z, X, T ) }.
% 2.84/3.25 parent0: (20605) {G1,W12,D2,L3,V4,M3} { coll( X, Z, Y ), ! coll( Z, T, X )
% 2.84/3.25 , ! coll( Z, T, Y ) }.
% 2.84/3.25 substitution0:
% 2.84/3.25 X := Z
% 2.84/3.25 Y := T
% 2.84/3.25 Z := X
% 2.84/3.25 T := Y
% 2.84/3.25 end
% 2.84/3.25 permutation0:
% 2.84/3.25 0 ==> 2
% 2.84/3.25 1 ==> 0
% 2.84/3.25 2 ==> 1
% 2.84/3.25 end
% 2.84/3.25
% 2.84/3.25 resolution: (20607) {G1,W8,D2,L2,V1,M2} { ! coll( skol23, X, skol22 ), !
% 2.84/3.25 coll( skol23, X, skol20 ) }.
% 2.84/3.25 parent0[0]: (130) {G0,W4,D2,L1,V0,M1} I { ! coll( skol22, skol20, skol23 )
% 2.84/3.25 }.
% 2.84/3.25 parent1[2]: (2) {G0,W12,D2,L3,V4,M3} I { ! coll( X, T, Y ), ! coll( X, T, Z
% 2.84/3.25 ), coll( Y, Z, X ) }.
% 2.84/3.25 substitution0:
% 2.84/3.25 end
% 2.84/3.25 substitution1:
% 2.84/3.25 X := skol23
% 2.84/3.25 Y := skol22
% 2.84/3.25 Z := skol20
% 2.84/3.25 T := X
% 2.84/3.25 end
% 2.84/3.25
% 2.84/3.25 subsumption: (194) {G1,W8,D2,L2,V1,M2} R(2,130) { ! coll( skol23, X, skol22
% 2.84/3.25 ), ! coll( skol23, X, skol20 ) }.
% 2.84/3.25 parent0: (20607) {G1,W8,D2,L2,V1,M2} { ! coll( skol23, X, skol22 ), ! coll
% 2.84/3.25 ( skol23, X, skol20 ) }.
% 2.84/3.25 substitution0:
% 2.84/3.25 X := X
% 2.84/3.25 end
% 2.84/3.25 permutation0:
% 2.84/3.25 0 ==> 0
% 2.84/3.25 1 ==> 1
% 2.84/3.25 end
% 2.84/3.25
% 2.84/3.25 factor: (20608) {G1,W8,D2,L2,V3,M2} { ! coll( X, Y, Z ), coll( Z, X, Z )
% 2.84/3.25 }.
% 2.84/3.25 parent0[0, 1]: (191) {G1,W12,D2,L3,V4,M3} R(2,0) { ! coll( X, Y, Z ), !
% 2.84/3.25 coll( X, Y, T ), coll( Z, X, T ) }.
% 2.84/3.25 substitution0:
% 2.84/3.25 X := X
% 2.84/3.25 Y := Y
% 2.84/3.25 Z := Z
% 2.84/3.25 T := Z
% 2.84/3.25 end
% 2.84/3.25
% 2.84/3.25 subsumption: (195) {G2,W8,D2,L2,V3,M2} F(191) { ! coll( X, Y, Z ), coll( Z
% 2.84/3.25 , X, Z ) }.
% 2.84/3.25 parent0: (20608) {G1,W8,D2,L2,V3,M2} { ! coll( X, Y, Z ), coll( Z, X, Z )
% 2.84/3.25 }.
% 2.84/3.25 substitution0:
% 2.84/3.25 X := X
% 2.84/3.25 Y := Y
% 2.84/3.25 Z := Z
% 2.84/3.25 end
% 2.84/3.25 permutation0:
% 2.84/3.25 0 ==> 0
% 2.84/3.25 1 ==> 1
% 2.84/3.25 end
% 2.84/3.25
% 2.84/3.25 resolution: (20609) {G1,W12,D2,L3,V4,M3} { coll( Z, X, Z ), ! coll( Z, T,
% 2.84/3.25 X ), ! coll( Z, T, Y ) }.
% 2.84/3.25 parent0[0]: (195) {G2,W8,D2,L2,V3,M2} F(191) { ! coll( X, Y, Z ), coll( Z,
% 2.84/3.25 X, Z ) }.
% 2.84/3.25 parent1[2]: (2) {G0,W12,D2,L3,V4,M3} I { ! coll( X, T, Y ), ! coll( X, T, Z
% 2.84/3.25 ), coll( Y, Z, X ) }.
% 2.84/3.25 substitution0:
% 2.84/3.25 X := X
% 2.84/3.25 Y := Y
% 2.84/3.25 Z := Z
% 2.84/3.25 end
% 2.84/3.25 substitution1:
% 2.84/3.25 X := Z
% 2.84/3.25 Y := X
% 2.84/3.25 Z := Y
% 2.84/3.25 T := T
% 2.84/3.25 end
% 2.84/3.25
% 2.84/3.25 subsumption: (219) {G3,W12,D2,L3,V4,M3} R(195,2) { coll( X, Y, X ), ! coll
% 2.84/3.25 ( X, Z, Y ), ! coll( X, Z, T ) }.
% 2.84/3.25 parent0: (20609) {G1,W12,D2,L3,V4,M3} { coll( Z, X, Z ), ! coll( Z, T, X )
% 2.84/3.25 , ! coll( Z, T, Y ) }.
% 2.84/3.25 substitution0:
% 2.84/3.25 X := Y
% 2.84/3.25 Y := Y
% 2.84/3.25 Z := X
% 2.84/3.25 T := Z
% 2.84/3.25 end
% 2.84/3.25 permutation0:
% 2.84/3.25 0 ==> 0
% 2.84/3.25 1 ==> 1
% 2.84/3.25 2 ==> 1
% 2.84/3.25 end
% 2.84/3.25
% 2.84/3.25 resolution: (20611) {G1,W8,D2,L2,V3,M2} { coll( Z, X, Z ), ! coll( Y, X, Z
% 2.84/3.25 ) }.
% 2.84/3.25 parent0[0]: (195) {G2,W8,D2,L2,V3,M2} F(191) { ! coll( X, Y, Z ), coll( Z,
% 2.84/3.25 X, Z ) }.
% 2.84/3.25 parent1[1]: (1) {G0,W8,D2,L2,V3,M2} I { ! coll( X, Y, Z ), coll( Y, X, Z )
% 2.84/3.25 }.
% 2.84/3.25 substitution0:
% 2.84/3.25 X := X
% 2.84/3.25 Y := Y
% 2.84/3.25 Z := Z
% 2.84/3.25 end
% 2.84/3.25 substitution1:
% 2.84/3.25 X := Y
% 2.84/3.25 Y := X
% 2.84/3.25 Z := Z
% 2.84/3.25 end
% 2.84/3.25
% 2.84/3.25 subsumption: (222) {G3,W8,D2,L2,V3,M2} R(195,1) { coll( X, Y, X ), ! coll(
% 2.84/3.25 Z, Y, X ) }.
% 2.84/3.25 parent0: (20611) {G1,W8,D2,L2,V3,M2} { coll( Z, X, Z ), ! coll( Y, X, Z )
% 2.84/3.25 }.
% 2.84/3.25 substitution0:
% 2.84/3.25 X := Y
% 2.84/3.25 Y := Z
% 2.84/3.25 Z := X
% 2.84/3.25 end
% 2.84/3.25 permutation0:
% 2.84/3.25 0 ==> 0
% 2.84/3.25 1 ==> 1
% 2.84/3.25 end
% 2.84/3.25
% 2.84/3.25 factor: (20612) {G3,W8,D2,L2,V3,M2} { coll( X, Y, X ), ! coll( X, Z, Y )
% 2.84/3.25 }.
% 2.84/3.25 parent0[1, 2]: (219) {G3,W12,D2,L3,V4,M3} R(195,2) { coll( X, Y, X ), !
% 2.84/3.25 coll( X, Z, Y ), ! coll( X, Z, T ) }.
% 2.84/3.25 substitution0:
% 2.84/3.25 X := X
% 2.84/3.25 Y := Y
% 2.84/3.25 Z := Z
% 2.84/3.25 T := Y
% 2.84/3.25 end
% 2.84/3.25
% 2.84/3.25 subsumption: (227) {G4,W8,D2,L2,V3,M2} F(219) { coll( X, Y, X ), ! coll( X
% 2.84/3.25 , Z, Y ) }.
% 2.84/3.25 parent0: (20612) {G3,W8,D2,L2,V3,M2} { coll( X, Y, X ), ! coll( X, Z, Y )
% 2.84/3.25 }.
% 2.84/3.25 substitution0:
% 2.84/3.25 X := X
% 2.84/3.25 Y := Y
% 2.84/3.25 Z := Z
% 2.84/3.25 end
% 2.84/3.25 permutation0:
% 2.84/3.25 0 ==> 0
% 2.84/3.25 1 ==> 1
% 2.84/3.25 end
% 2.84/3.25
% 2.84/3.25 resolution: (20613) {G1,W4,D2,L1,V0,M1} { midp( skol39, skol28, skol25 )
% 2.84/3.25 }.
% 2.84/3.25 parent0[0]: (10) {G0,W8,D2,L2,V3,M2} I { ! midp( Z, Y, X ), midp( Z, X, Y )
% 2.84/3.25 }.
% 2.84/3.25 parent1[0]: (126) {G0,W4,D2,L1,V0,M1} I { midp( skol39, skol25, skol28 )
% 2.84/3.25 }.
% 2.84/3.25 substitution0:
% 2.84/3.25 X := skol28
% 2.84/3.25 Y := skol25
% 2.84/3.25 Z := skol39
% 2.84/3.25 end
% 2.84/3.25 substitution1:
% 2.84/3.25 end
% 2.84/3.25
% 2.84/3.25 subsumption: (287) {G1,W4,D2,L1,V0,M1} R(10,126) { midp( skol39, skol28,
% 2.84/3.25 skol25 ) }.
% 2.84/3.25 parent0: (20613) {G1,W4,D2,L1,V0,M1} { midp( skol39, skol28, skol25 ) }.
% 2.84/3.25 substitution0:
% 2.84/3.25 end
% 2.84/3.25 permutation0:
% 2.84/3.25 0 ==> 0
% 2.84/3.25 end
% 2.84/3.25
% 2.84/3.25 resolution: (20615) {G1,W8,D2,L2,V3,M2} { coll( Y, X, X ), ! coll( X, Z, Y
% 2.84/3.25 ) }.
% 2.84/3.25 parent0[0]: (1) {G0,W8,D2,L2,V3,M2} I { ! coll( X, Y, Z ), coll( Y, X, Z )
% 2.84/3.25 }.
% 2.84/3.25 parent1[0]: (227) {G4,W8,D2,L2,V3,M2} F(219) { coll( X, Y, X ), ! coll( X,
% 2.84/3.25 Z, Y ) }.
% 2.84/3.25 substitution0:
% 2.84/3.25 X := X
% 2.84/3.25 Y := Y
% 2.84/3.25 Z := X
% 2.84/3.25 end
% 2.84/3.25 substitution1:
% 2.84/3.25 X := X
% 2.84/3.25 Y := Y
% 2.84/3.25 Z := Z
% 2.84/3.25 end
% 2.84/3.25
% 2.84/3.25 subsumption: (295) {G5,W8,D2,L2,V3,M2} R(227,1) { ! coll( X, Y, Z ), coll(
% 2.84/3.25 Z, X, X ) }.
% 2.84/3.25 parent0: (20615) {G1,W8,D2,L2,V3,M2} { coll( Y, X, X ), ! coll( X, Z, Y )
% 2.84/3.25 }.
% 2.84/3.25 substitution0:
% 2.84/3.25 X := X
% 2.84/3.25 Y := Z
% 2.84/3.25 Z := Y
% 2.84/3.25 end
% 2.84/3.25 permutation0:
% 2.84/3.25 0 ==> 1
% 2.84/3.25 1 ==> 0
% 2.84/3.25 end
% 2.84/3.25
% 2.84/3.25 resolution: (20616) {G1,W8,D2,L2,V3,M2} { coll( Z, X, X ), ! coll( Y, X, Z
% 2.84/3.25 ) }.
% 2.84/3.25 parent0[0]: (295) {G5,W8,D2,L2,V3,M2} R(227,1) { ! coll( X, Y, Z ), coll( Z
% 2.84/3.25 , X, X ) }.
% 2.84/3.25 parent1[1]: (1) {G0,W8,D2,L2,V3,M2} I { ! coll( X, Y, Z ), coll( Y, X, Z )
% 2.84/3.25 }.
% 2.84/3.25 substitution0:
% 2.84/3.25 X := X
% 2.84/3.25 Y := Y
% 2.84/3.25 Z := Z
% 2.84/3.25 end
% 2.84/3.25 substitution1:
% 2.84/3.25 X := Y
% 2.84/3.25 Y := X
% 2.84/3.25 Z := Z
% 2.84/3.25 end
% 2.84/3.25
% 2.84/3.25 subsumption: (300) {G6,W8,D2,L2,V3,M2} R(295,1) { coll( X, Y, Y ), ! coll(
% 2.84/3.25 Z, Y, X ) }.
% 2.84/3.25 parent0: (20616) {G1,W8,D2,L2,V3,M2} { coll( Z, X, X ), ! coll( Y, X, Z )
% 2.84/3.25 }.
% 2.84/3.25 substitution0:
% 2.84/3.25 X := Y
% 2.84/3.25 Y := Z
% 2.84/3.25 Z := X
% 2.84/3.25 end
% 2.84/3.25 permutation0:
% 2.84/3.25 0 ==> 0
% 2.84/3.25 1 ==> 1
% 2.84/3.25 end
% 2.84/3.25
% 2.84/3.25 resolution: (20617) {G1,W8,D2,L2,V3,M2} { coll( Z, X, X ), ! coll( X, Z, Y
% 2.84/3.25 ) }.
% 2.84/3.25 parent0[0]: (295) {G5,W8,D2,L2,V3,M2} R(227,1) { ! coll( X, Y, Z ), coll( Z
% 2.84/3.25 , X, X ) }.
% 2.84/3.25 parent1[1]: (0) {G0,W8,D2,L2,V3,M2} I { ! coll( X, Y, Z ), coll( X, Z, Y )
% 2.84/3.25 }.
% 2.84/3.26 substitution0:
% 2.84/3.26 X := X
% 2.84/3.26 Y := Y
% 2.84/3.26 Z := Z
% 2.84/3.26 end
% 2.84/3.26 substitution1:
% 2.84/3.26 X := X
% 2.84/3.26 Y := Z
% 2.84/3.26 Z := Y
% 2.84/3.26 end
% 2.84/3.26
% 2.84/3.26 subsumption: (301) {G6,W8,D2,L2,V3,M2} R(295,0) { coll( X, Y, Y ), ! coll(
% 2.84/3.26 Y, X, Z ) }.
% 2.84/3.26 parent0: (20617) {G1,W8,D2,L2,V3,M2} { coll( Z, X, X ), ! coll( X, Z, Y )
% 2.84/3.26 }.
% 2.84/3.26 substitution0:
% 2.84/3.26 X := Y
% 2.84/3.26 Y := Z
% 2.84/3.26 Z := X
% 2.84/3.26 end
% 2.84/3.26 permutation0:
% 2.84/3.26 0 ==> 0
% 2.84/3.26 1 ==> 1
% 2.84/3.26 end
% 2.84/3.26
% 2.84/3.26 resolution: (20619) {G6,W8,D2,L2,V3,M2} { coll( Y, X, X ), ! coll( Z, Y, X
% 2.84/3.26 ) }.
% 2.84/3.26 parent0[0]: (295) {G5,W8,D2,L2,V3,M2} R(227,1) { ! coll( X, Y, Z ), coll( Z
% 2.84/3.26 , X, X ) }.
% 2.84/3.26 parent1[0]: (300) {G6,W8,D2,L2,V3,M2} R(295,1) { coll( X, Y, Y ), ! coll( Z
% 2.84/3.26 , Y, X ) }.
% 2.84/3.26 substitution0:
% 2.84/3.26 X := X
% 2.84/3.26 Y := Y
% 2.84/3.26 Z := Y
% 2.84/3.26 end
% 2.84/3.26 substitution1:
% 2.84/3.26 X := X
% 2.84/3.26 Y := Y
% 2.84/3.26 Z := Z
% 2.84/3.26 end
% 2.84/3.26
% 2.84/3.26 subsumption: (302) {G7,W8,D2,L2,V3,M2} R(300,295) { ! coll( X, Y, Z ), coll
% 2.84/3.26 ( Y, Z, Z ) }.
% 2.84/3.26 parent0: (20619) {G6,W8,D2,L2,V3,M2} { coll( Y, X, X ), ! coll( Z, Y, X )
% 2.84/3.26 }.
% 2.84/3.26 substitution0:
% 2.84/3.26 X := Z
% 2.84/3.26 Y := Y
% 2.84/3.26 Z := X
% 2.84/3.26 end
% 2.84/3.26 permutation0:
% 2.84/3.26 0 ==> 1
% 2.84/3.26 1 ==> 0
% 2.84/3.26 end
% 2.84/3.26
% 2.84/3.26 resolution: (20620) {G7,W8,D2,L2,V3,M2} { coll( X, Y, Y ), ! coll( X, Y, Z
% 2.84/3.26 ) }.
% 2.84/3.26 parent0[1]: (301) {G6,W8,D2,L2,V3,M2} R(295,0) { coll( X, Y, Y ), ! coll( Y
% 2.84/3.26 , X, Z ) }.
% 2.84/3.26 parent1[0]: (301) {G6,W8,D2,L2,V3,M2} R(295,0) { coll( X, Y, Y ), ! coll( Y
% 2.84/3.26 , X, Z ) }.
% 2.84/3.26 substitution0:
% 2.84/3.26 X := X
% 2.84/3.26 Y := Y
% 2.84/3.26 Z := X
% 2.84/3.26 end
% 2.84/3.26 substitution1:
% 2.84/3.26 X := Y
% 2.84/3.26 Y := X
% 2.84/3.26 Z := Z
% 2.84/3.26 end
% 2.84/3.26
% 2.84/3.26 subsumption: (305) {G7,W8,D2,L2,V3,M2} R(301,301) { ! coll( X, Y, Z ), coll
% 2.84/3.26 ( X, Y, Y ) }.
% 2.84/3.26 parent0: (20620) {G7,W8,D2,L2,V3,M2} { coll( X, Y, Y ), ! coll( X, Y, Z )
% 2.84/3.26 }.
% 2.84/3.26 substitution0:
% 2.84/3.26 X := X
% 2.84/3.26 Y := Y
% 2.84/3.26 Z := Z
% 2.84/3.26 end
% 2.84/3.26 permutation0:
% 2.84/3.26 0 ==> 1
% 2.84/3.26 1 ==> 0
% 2.84/3.26 end
% 2.84/3.26
% 2.84/3.26 resolution: (20624) {G1,W12,D2,L3,V4,M3} { ! coll( X, Y, Z ), coll( Z, Y,
% 2.84/3.26 X ), ! coll( X, Y, T ) }.
% 2.84/3.26 parent0[1]: (2) {G0,W12,D2,L3,V4,M3} I { ! coll( X, T, Y ), ! coll( X, T, Z
% 2.84/3.26 ), coll( Y, Z, X ) }.
% 2.84/3.26 parent1[1]: (305) {G7,W8,D2,L2,V3,M2} R(301,301) { ! coll( X, Y, Z ), coll
% 2.84/3.26 ( X, Y, Y ) }.
% 2.84/3.26 substitution0:
% 2.84/3.26 X := X
% 2.84/3.26 Y := Z
% 2.84/3.26 Z := Y
% 2.84/3.26 T := Y
% 2.84/3.26 end
% 2.84/3.26 substitution1:
% 2.84/3.26 X := X
% 2.84/3.26 Y := Y
% 2.84/3.26 Z := T
% 2.84/3.26 end
% 2.84/3.26
% 2.84/3.26 subsumption: (308) {G8,W12,D2,L3,V4,M3} R(305,2) { ! coll( X, Y, Z ), !
% 2.84/3.26 coll( X, Y, T ), coll( T, Y, X ) }.
% 2.84/3.26 parent0: (20624) {G1,W12,D2,L3,V4,M3} { ! coll( X, Y, Z ), coll( Z, Y, X )
% 2.84/3.26 , ! coll( X, Y, T ) }.
% 2.84/3.26 substitution0:
% 2.84/3.26 X := X
% 2.84/3.26 Y := Y
% 2.84/3.26 Z := T
% 2.84/3.26 T := Z
% 2.84/3.26 end
% 2.84/3.26 permutation0:
% 2.84/3.26 0 ==> 1
% 2.84/3.26 1 ==> 2
% 2.84/3.26 2 ==> 0
% 2.84/3.26 end
% 2.84/3.26
% 2.84/3.26 factor: (20627) {G8,W8,D2,L2,V3,M2} { ! coll( X, Y, Z ), coll( Z, Y, X )
% 2.84/3.26 }.
% 2.84/3.26 parent0[0, 1]: (308) {G8,W12,D2,L3,V4,M3} R(305,2) { ! coll( X, Y, Z ), !
% 2.84/3.26 coll( X, Y, T ), coll( T, Y, X ) }.
% 2.84/3.26 substitution0:
% 2.84/3.26 X := X
% 2.84/3.26 Y := Y
% 2.84/3.26 Z := Z
% 2.84/3.26 T := Z
% 2.84/3.26 end
% 2.84/3.26
% 2.84/3.26 subsumption: (309) {G9,W8,D2,L2,V3,M2} F(308) { ! coll( X, Y, Z ), coll( Z
% 2.84/3.26 , Y, X ) }.
% 2.84/3.26 parent0: (20627) {G8,W8,D2,L2,V3,M2} { ! coll( X, Y, Z ), coll( Z, Y, X )
% 2.84/3.26 }.
% 2.84/3.26 substitution0:
% 2.84/3.26 X := X
% 2.84/3.26 Y := Y
% 2.84/3.26 Z := Z
% 2.84/3.26 end
% 2.84/3.26 permutation0:
% 2.84/3.26 0 ==> 0
% 2.84/3.26 1 ==> 1
% 2.84/3.26 end
% 2.84/3.26
% 2.84/3.26 resolution: (20628) {G7,W8,D2,L2,V3,M2} { coll( Y, Y, X ), ! coll( Y, X, Z
% 2.84/3.26 ) }.
% 2.84/3.26 parent0[0]: (309) {G9,W8,D2,L2,V3,M2} F(308) { ! coll( X, Y, Z ), coll( Z,
% 2.84/3.26 Y, X ) }.
% 2.84/3.26 parent1[0]: (301) {G6,W8,D2,L2,V3,M2} R(295,0) { coll( X, Y, Y ), ! coll( Y
% 2.84/3.26 , X, Z ) }.
% 2.84/3.26 substitution0:
% 2.84/3.26 X := X
% 2.84/3.26 Y := Y
% 2.84/3.26 Z := Y
% 2.84/3.26 end
% 2.84/3.26 substitution1:
% 2.84/3.26 X := X
% 2.84/3.26 Y := Y
% 2.84/3.26 Z := Z
% 2.84/3.26 end
% 2.84/3.26
% 2.84/3.26 subsumption: (311) {G10,W8,D2,L2,V3,M2} R(309,301) { coll( X, X, Y ), !
% 2.84/3.26 coll( X, Y, Z ) }.
% 2.84/3.26 parent0: (20628) {G7,W8,D2,L2,V3,M2} { coll( Y, Y, X ), ! coll( Y, X, Z )
% 2.84/3.26 }.
% 2.84/3.26 substitution0:
% 2.84/3.26 X := Y
% 2.84/3.26 Y := X
% 2.84/3.26 Z := Z
% 2.84/3.26 end
% 2.84/3.26 permutation0:
% 2.84/3.26 0 ==> 0
% 2.84/3.26 1 ==> 1
% 2.84/3.26 end
% 2.84/3.26
% 2.84/3.26 resolution: (20629) {G7,W8,D2,L2,V3,M2} { coll( Y, Y, X ), ! coll( Z, Y, X
% 2.84/3.26 ) }.
% 2.84/3.26 parent0[0]: (309) {G9,W8,D2,L2,V3,M2} F(308) { ! coll( X, Y, Z ), coll( Z,
% 2.84/3.26 Y, X ) }.
% 2.84/3.26 parent1[0]: (300) {G6,W8,D2,L2,V3,M2} R(295,1) { coll( X, Y, Y ), ! coll( Z
% 2.84/3.26 , Y, X ) }.
% 2.84/3.26 substitution0:
% 2.84/3.26 X := X
% 2.84/3.26 Y := Y
% 2.84/3.26 Z := Y
% 2.84/3.26 end
% 2.84/3.26 substitution1:
% 2.84/3.26 X := X
% 2.84/3.26 Y := Y
% 2.84/3.26 Z := Z
% 2.84/3.26 end
% 2.84/3.26
% 2.84/3.26 subsumption: (313) {G10,W8,D2,L2,V3,M2} R(309,300) { coll( X, X, Y ), !
% 2.84/3.26 coll( Z, X, Y ) }.
% 2.84/3.26 parent0: (20629) {G7,W8,D2,L2,V3,M2} { coll( Y, Y, X ), ! coll( Z, Y, X )
% 2.84/3.26 }.
% 2.84/3.26 substitution0:
% 2.84/3.26 X := Y
% 2.84/3.26 Y := X
% 2.84/3.26 Z := Z
% 2.84/3.26 end
% 2.84/3.26 permutation0:
% 2.84/3.26 0 ==> 0
% 2.84/3.26 1 ==> 1
% 2.84/3.26 end
% 2.84/3.26
% 2.84/3.26 resolution: (20630) {G1,W12,D2,L3,V4,M3} { coll( Z, Y, X ), ! coll( Z, T,
% 2.84/3.26 X ), ! coll( Z, T, Y ) }.
% 2.84/3.26 parent0[0]: (309) {G9,W8,D2,L2,V3,M2} F(308) { ! coll( X, Y, Z ), coll( Z,
% 2.84/3.26 Y, X ) }.
% 2.84/3.26 parent1[2]: (2) {G0,W12,D2,L3,V4,M3} I { ! coll( X, T, Y ), ! coll( X, T, Z
% 2.84/3.26 ), coll( Y, Z, X ) }.
% 2.84/3.26 substitution0:
% 2.84/3.26 X := X
% 2.84/3.26 Y := Y
% 2.84/3.26 Z := Z
% 2.84/3.26 end
% 2.84/3.26 substitution1:
% 2.84/3.26 X := Z
% 2.84/3.26 Y := X
% 2.84/3.26 Z := Y
% 2.84/3.26 T := T
% 2.84/3.26 end
% 2.84/3.26
% 2.84/3.26 subsumption: (314) {G10,W12,D2,L3,V4,M3} R(309,2) { coll( X, Y, Z ), ! coll
% 2.84/3.26 ( X, T, Z ), ! coll( X, T, Y ) }.
% 2.84/3.26 parent0: (20630) {G1,W12,D2,L3,V4,M3} { coll( Z, Y, X ), ! coll( Z, T, X )
% 2.84/3.26 , ! coll( Z, T, Y ) }.
% 2.84/3.26 substitution0:
% 2.84/3.26 X := Z
% 2.84/3.26 Y := Y
% 2.84/3.26 Z := X
% 2.84/3.26 T := T
% 2.84/3.26 end
% 2.84/3.26 permutation0:
% 2.84/3.26 0 ==> 0
% 2.84/3.26 1 ==> 1
% 2.84/3.26 2 ==> 2
% 2.84/3.26 end
% 2.84/3.26
% 2.84/3.26 resolution: (20635) {G1,W12,D2,L3,V4,M3} { ! coll( X, X, Y ), coll( Y, Z,
% 2.84/3.26 X ), ! coll( X, Z, T ) }.
% 2.84/3.26 parent0[1]: (2) {G0,W12,D2,L3,V4,M3} I { ! coll( X, T, Y ), ! coll( X, T, Z
% 2.84/3.26 ), coll( Y, Z, X ) }.
% 2.84/3.26 parent1[0]: (311) {G10,W8,D2,L2,V3,M2} R(309,301) { coll( X, X, Y ), ! coll
% 2.84/3.26 ( X, Y, Z ) }.
% 2.84/3.26 substitution0:
% 2.84/3.26 X := X
% 2.84/3.26 Y := Y
% 2.84/3.26 Z := Z
% 2.84/3.26 T := X
% 2.84/3.26 end
% 2.84/3.26 substitution1:
% 2.84/3.26 X := X
% 2.84/3.26 Y := Z
% 2.84/3.26 Z := T
% 2.84/3.26 end
% 2.84/3.26
% 2.84/3.26 subsumption: (323) {G11,W12,D2,L3,V4,M3} R(311,2) { ! coll( X, Y, Z ), !
% 2.84/3.26 coll( X, X, T ), coll( T, Y, X ) }.
% 2.84/3.26 parent0: (20635) {G1,W12,D2,L3,V4,M3} { ! coll( X, X, Y ), coll( Y, Z, X )
% 2.84/3.26 , ! coll( X, Z, T ) }.
% 2.84/3.26 substitution0:
% 2.84/3.26 X := X
% 2.84/3.26 Y := T
% 2.84/3.26 Z := Y
% 2.84/3.26 T := Z
% 2.84/3.26 end
% 2.84/3.26 permutation0:
% 2.84/3.26 0 ==> 1
% 2.84/3.26 1 ==> 2
% 2.84/3.26 2 ==> 0
% 2.84/3.26 end
% 2.84/3.26
% 2.84/3.26 resolution: (20638) {G1,W8,D2,L2,V3,M2} { coll( X, X, Y ), ! midp( Z, X, Y
% 2.84/3.26 ) }.
% 2.84/3.26 parent0[1]: (313) {G10,W8,D2,L2,V3,M2} R(309,300) { coll( X, X, Y ), ! coll
% 2.84/3.26 ( Z, X, Y ) }.
% 2.84/3.26 parent1[1]: (69) {G0,W8,D2,L2,V3,M2} I { ! midp( X, Y, Z ), coll( X, Y, Z )
% 2.84/3.26 }.
% 2.84/3.26 substitution0:
% 2.84/3.26 X := X
% 2.84/3.26 Y := Y
% 2.84/3.26 Z := Z
% 2.84/3.26 end
% 2.84/3.26 substitution1:
% 2.84/3.26 X := Z
% 2.84/3.26 Y := X
% 2.84/3.26 Z := Y
% 2.84/3.26 end
% 2.84/3.26
% 2.84/3.26 subsumption: (367) {G11,W8,D2,L2,V3,M2} R(69,313) { ! midp( X, Y, Z ), coll
% 2.84/3.26 ( Y, Y, Z ) }.
% 2.84/3.26 parent0: (20638) {G1,W8,D2,L2,V3,M2} { coll( X, X, Y ), ! midp( Z, X, Y )
% 2.84/3.26 }.
% 2.84/3.26 substitution0:
% 2.84/3.26 X := Y
% 2.84/3.26 Y := Z
% 2.84/3.26 Z := X
% 2.84/3.26 end
% 2.84/3.26 permutation0:
% 2.84/3.26 0 ==> 1
% 2.84/3.26 1 ==> 0
% 2.84/3.26 end
% 2.84/3.26
% 2.84/3.26 resolution: (20639) {G1,W8,D2,L2,V3,M2} { coll( Y, Z, Z ), ! midp( X, Y, Z
% 2.84/3.26 ) }.
% 2.84/3.26 parent0[0]: (302) {G7,W8,D2,L2,V3,M2} R(300,295) { ! coll( X, Y, Z ), coll
% 2.84/3.26 ( Y, Z, Z ) }.
% 2.84/3.26 parent1[1]: (69) {G0,W8,D2,L2,V3,M2} I { ! midp( X, Y, Z ), coll( X, Y, Z )
% 2.84/3.26 }.
% 2.84/3.26 substitution0:
% 2.84/3.26 X := X
% 2.84/3.26 Y := Y
% 2.84/3.26 Z := Z
% 2.84/3.26 end
% 2.84/3.26 substitution1:
% 2.84/3.26 X := X
% 2.84/3.26 Y := Y
% 2.84/3.26 Z := Z
% 2.84/3.26 end
% 2.84/3.26
% 2.84/3.26 subsumption: (374) {G8,W8,D2,L2,V3,M2} R(69,302) { ! midp( X, Y, Z ), coll
% 2.84/3.26 ( Y, Z, Z ) }.
% 2.84/3.26 parent0: (20639) {G1,W8,D2,L2,V3,M2} { coll( Y, Z, Z ), ! midp( X, Y, Z )
% 2.84/3.26 }.
% 2.84/3.26 substitution0:
% 2.84/3.26 X := X
% 2.84/3.26 Y := Y
% 2.84/3.26 Z := Z
% 2.84/3.26 end
% 2.84/3.26 permutation0:
% 2.84/3.26 0 ==> 1
% 2.84/3.26 1 ==> 0
% 2.84/3.26 end
% 2.84/3.26
% 2.84/3.26 resolution: (20640) {G1,W4,D2,L1,V0,M1} { coll( skol39, skol28, skol25 )
% 2.84/3.26 }.
% 2.84/3.26 parent0[0]: (69) {G0,W8,D2,L2,V3,M2} I { ! midp( X, Y, Z ), coll( X, Y, Z )
% 2.84/3.26 }.
% 2.84/3.26 parent1[0]: (287) {G1,W4,D2,L1,V0,M1} R(10,126) { midp( skol39, skol28,
% 2.84/3.26 skol25 ) }.
% 2.84/3.26 substitution0:
% 2.84/3.26 X := skol39
% 2.84/3.26 Y := skol28
% 2.84/3.26 Z := skol25
% 2.84/3.26 end
% 2.84/3.26 substitution1:
% 2.84/3.26 end
% 2.84/3.26
% 2.84/3.26 subsumption: (381) {G2,W4,D2,L1,V0,M1} R(69,287) { coll( skol39, skol28,
% 2.84/3.26 skol25 ) }.
% 2.84/3.26 parent0: (20640) {G1,W4,D2,L1,V0,M1} { coll( skol39, skol28, skol25 ) }.
% 2.84/3.26 substitution0:
% 2.84/3.26 end
% 2.84/3.26 permutation0:
% 2.84/3.26 0 ==> 0
% 2.84/3.26 end
% 2.84/3.26
% 2.84/3.26 resolution: (20641) {G3,W4,D2,L1,V0,M1} { coll( skol25, skol28, skol25 )
% 2.84/3.26 }.
% 2.84/3.26 parent0[1]: (222) {G3,W8,D2,L2,V3,M2} R(195,1) { coll( X, Y, X ), ! coll( Z
% 2.84/3.26 , Y, X ) }.
% 2.84/3.26 parent1[0]: (381) {G2,W4,D2,L1,V0,M1} R(69,287) { coll( skol39, skol28,
% 2.84/3.26 skol25 ) }.
% 2.84/3.26 substitution0:
% 2.84/3.26 X := skol25
% 2.84/3.26 Y := skol28
% 2.84/3.26 Z := skol39
% 2.84/3.26 end
% 2.84/3.26 substitution1:
% 2.84/3.26 end
% 2.84/3.26
% 2.84/3.26 subsumption: (402) {G4,W4,D2,L1,V0,M1} R(381,222) { coll( skol25, skol28,
% 2.84/3.26 skol25 ) }.
% 2.84/3.26 parent0: (20641) {G3,W4,D2,L1,V0,M1} { coll( skol25, skol28, skol25 ) }.
% 2.84/3.26 substitution0:
% 2.84/3.26 end
% 2.84/3.26 permutation0:
% 2.84/3.26 0 ==> 0
% 2.84/3.26 end
% 2.84/3.26
% 2.84/3.26 resolution: (20642) {G3,W4,D2,L1,V0,M1} { coll( skol28, skol28, skol25 )
% 2.84/3.26 }.
% 2.84/3.26 parent0[1]: (313) {G10,W8,D2,L2,V3,M2} R(309,300) { coll( X, X, Y ), ! coll
% 2.84/3.26 ( Z, X, Y ) }.
% 2.84/3.26 parent1[0]: (381) {G2,W4,D2,L1,V0,M1} R(69,287) { coll( skol39, skol28,
% 2.84/3.26 skol25 ) }.
% 2.84/3.26 substitution0:
% 2.84/3.26 X := skol28
% 2.84/3.26 Y := skol25
% 2.84/3.26 Z := skol39
% 2.84/3.26 end
% 2.84/3.26 substitution1:
% 2.84/3.26 end
% 2.84/3.26
% 2.84/3.26 subsumption: (406) {G11,W4,D2,L1,V0,M1} R(381,313) { coll( skol28, skol28,
% 2.84/3.26 skol25 ) }.
% 2.84/3.26 parent0: (20642) {G3,W4,D2,L1,V0,M1} { coll( skol28, skol28, skol25 ) }.
% 2.84/3.26 substitution0:
% 2.84/3.26 end
% 2.84/3.26 permutation0:
% 2.84/3.26 0 ==> 0
% 2.84/3.26 end
% 2.84/3.26
% 2.84/3.26 resolution: (20643) {G2,W14,D3,L3,V1,M3} { ! coll( skol28, skol28, skol25
% 2.84/3.26 ), ! coll( skol25, skol28, skol25 ), midp( skol7( skol28, X ), skol28, X
% 2.84/3.26 ) }.
% 2.84/3.26 parent0[0]: (153) {G1,W18,D3,L4,V4,M4} F(88) { ! midp( X, Y, Z ), ! coll( Y
% 2.84/3.26 , Y, Z ), ! coll( Z, Y, Z ), midp( skol7( Y, T ), Y, T ) }.
% 2.84/3.26 parent1[0]: (287) {G1,W4,D2,L1,V0,M1} R(10,126) { midp( skol39, skol28,
% 2.84/3.26 skol25 ) }.
% 2.84/3.26 substitution0:
% 2.84/3.26 X := skol39
% 2.84/3.26 Y := skol28
% 2.84/3.26 Z := skol25
% 2.84/3.26 T := X
% 2.84/3.26 end
% 2.84/3.26 substitution1:
% 2.84/3.26 end
% 2.84/3.26
% 2.84/3.26 resolution: (20644) {G3,W10,D3,L2,V1,M2} { ! coll( skol25, skol28, skol25
% 2.84/3.26 ), midp( skol7( skol28, X ), skol28, X ) }.
% 2.84/3.26 parent0[0]: (20643) {G2,W14,D3,L3,V1,M3} { ! coll( skol28, skol28, skol25
% 2.84/3.26 ), ! coll( skol25, skol28, skol25 ), midp( skol7( skol28, X ), skol28, X
% 2.84/3.26 ) }.
% 2.84/3.26 parent1[0]: (406) {G11,W4,D2,L1,V0,M1} R(381,313) { coll( skol28, skol28,
% 2.84/3.26 skol25 ) }.
% 2.84/3.26 substitution0:
% 2.84/3.26 X := X
% 2.84/3.26 end
% 2.84/3.26 substitution1:
% 2.84/3.26 end
% 2.84/3.26
% 2.84/3.26 subsumption: (7703) {G12,W10,D3,L2,V1,M2} R(153,287);r(406) { ! coll(
% 2.84/3.26 skol25, skol28, skol25 ), midp( skol7( skol28, X ), skol28, X ) }.
% 2.84/3.26 parent0: (20644) {G3,W10,D3,L2,V1,M2} { ! coll( skol25, skol28, skol25 ),
% 2.84/3.26 midp( skol7( skol28, X ), skol28, X ) }.
% 2.84/3.26 substitution0:
% 2.84/3.26 X := X
% 2.84/3.26 end
% 2.84/3.26 permutation0:
% 2.84/3.26 0 ==> 0
% 2.84/3.26 1 ==> 1
% 2.84/3.26 end
% 2.84/3.26
% 2.84/3.26 resolution: (20645) {G5,W6,D3,L1,V1,M1} { midp( skol7( skol28, X ), skol28
% 2.84/3.26 , X ) }.
% 2.84/3.26 parent0[0]: (7703) {G12,W10,D3,L2,V1,M2} R(153,287);r(406) { ! coll( skol25
% 2.84/3.26 , skol28, skol25 ), midp( skol7( skol28, X ), skol28, X ) }.
% 2.84/3.26 parent1[0]: (402) {G4,W4,D2,L1,V0,M1} R(381,222) { coll( skol25, skol28,
% 2.84/3.26 skol25 ) }.
% 2.84/3.26 substitution0:
% 2.84/3.26 X := X
% 2.84/3.26 end
% 2.84/3.26 substitution1:
% 2.84/3.26 end
% 2.84/3.26
% 2.84/3.26 subsumption: (20047) {G13,W6,D3,L1,V1,M1} S(7703);r(402) { midp( skol7(
% 2.84/3.26 skol28, X ), skol28, X ) }.
% 2.84/3.26 parent0: (20645) {G5,W6,D3,L1,V1,M1} { midp( skol7( skol28, X ), skol28, X
% 2.84/3.26 ) }.
% 2.84/3.26 substitution0:
% 2.84/3.26 X := X
% 2.84/3.26 end
% 2.84/3.26 permutation0:
% 2.84/3.26 0 ==> 0
% 2.84/3.26 end
% 2.84/3.26
% 2.84/3.26 resolution: (20646) {G9,W4,D2,L1,V1,M1} { coll( skol28, X, X ) }.
% 2.84/3.26 parent0[0]: (374) {G8,W8,D2,L2,V3,M2} R(69,302) { ! midp( X, Y, Z ), coll(
% 2.84/3.26 Y, Z, Z ) }.
% 2.84/3.26 parent1[0]: (20047) {G13,W6,D3,L1,V1,M1} S(7703);r(402) { midp( skol7(
% 2.84/3.26 skol28, X ), skol28, X ) }.
% 2.84/3.26 substitution0:
% 2.84/3.26 X := skol7( skol28, X )
% 2.84/3.26 Y := skol28
% 2.84/3.26 Z := X
% 2.84/3.26 end
% 2.84/3.26 substitution1:
% 2.84/3.26 X := X
% 2.84/3.26 end
% 2.84/3.26
% 2.84/3.26 subsumption: (20114) {G14,W4,D2,L1,V1,M1} R(20047,374) { coll( skol28, X, X
% 2.84/3.26 ) }.
% 2.84/3.26 parent0: (20646) {G9,W4,D2,L1,V1,M1} { coll( skol28, X, X ) }.
% 2.84/3.26 substitution0:
% 2.84/3.26 X := X
% 2.84/3.26 end
% 2.84/3.26 permutation0:
% 2.84/3.26 0 ==> 0
% 2.84/3.26 end
% 2.84/3.26
% 2.84/3.26 resolution: (20647) {G12,W4,D2,L1,V1,M1} { coll( skol28, skol28, X ) }.
% 2.84/3.26 parent0[0]: (367) {G11,W8,D2,L2,V3,M2} R(69,313) { ! midp( X, Y, Z ), coll
% 2.84/3.26 ( Y, Y, Z ) }.
% 2.84/3.26 parent1[0]: (20047) {G13,W6,D3,L1,V1,M1} S(7703);r(402) { midp( skol7(
% 2.84/3.26 skol28, X ), skol28, X ) }.
% 2.84/3.26 substitution0:
% 2.84/3.26 X := skol7( skol28, X )
% 2.84/3.26 Y := skol28
% 2.84/3.26 Z := X
% 2.84/3.26 end
% 2.84/3.26 substitution1:
% 2.84/3.26 X := X
% 2.84/3.26 end
% 2.84/3.26
% 2.84/3.26 subsumption: (20119) {G14,W4,D2,L1,V1,M1} R(20047,367) { coll( skol28,
% 2.84/3.26 skol28, X ) }.
% 2.84/3.26 parent0: (20647) {G12,W4,D2,L1,V1,M1} { coll( skol28, skol28, X ) }.
% 2.84/3.26 substitution0:
% 2.84/3.26 X := X
% 2.84/3.26 end
% 2.84/3.26 permutation0:
% 2.84/3.26 0 ==> 0
% 2.84/3.26 end
% 2.84/3.26
% 2.84/3.26 resolution: (20648) {G12,W8,D2,L2,V2,M2} { ! coll( skol28, skol28, Y ),
% 2.84/3.26 coll( Y, X, skol28 ) }.
% 2.84/3.26 parent0[0]: (323) {G11,W12,D2,L3,V4,M3} R(311,2) { ! coll( X, Y, Z ), !
% 2.84/3.26 coll( X, X, T ), coll( T, Y, X ) }.
% 2.84/3.26 parent1[0]: (20114) {G14,W4,D2,L1,V1,M1} R(20047,374) { coll( skol28, X, X
% 2.84/3.26 ) }.
% 2.84/3.26 substitution0:
% 2.84/3.26 X := skol28
% 2.84/3.26 Y := X
% 2.84/3.26 Z := X
% 2.84/3.26 T := Y
% 2.84/3.26 end
% 2.84/3.26 substitution1:
% 2.84/3.26 X := X
% 2.84/3.26 end
% 2.84/3.26
% 2.84/3.26 resolution: (20650) {G13,W4,D2,L1,V2,M1} { coll( X, Y, skol28 ) }.
% 2.84/3.26 parent0[0]: (20648) {G12,W8,D2,L2,V2,M2} { ! coll( skol28, skol28, Y ),
% 2.84/3.26 coll( Y, X, skol28 ) }.
% 2.84/3.26 parent1[0]: (20119) {G14,W4,D2,L1,V1,M1} R(20047,367) { coll( skol28,
% 2.84/3.26 skol28, X ) }.
% 2.84/3.26 substitution0:
% 2.84/3.26 X := Y
% 2.84/3.26 Y := X
% 2.84/3.26 end
% 2.84/3.26 substitution1:
% 2.84/3.26 X := X
% 2.84/3.26 end
% 2.84/3.26
% 2.84/3.26 subsumption: (20157) {G15,W4,D2,L1,V2,M1} R(20114,323);r(20119) { coll( X,
% 2.84/3.26 Y, skol28 ) }.
% 2.84/3.26 parent0: (20650) {G13,W4,D2,L1,V2,M1} { coll( X, Y, skol28 ) }.
% 2.84/3.26 substitution0:
% 2.84/3.26 X := X
% 2.84/3.26 Y := Y
% 2.84/3.26 end
% 2.84/3.26 permutation0:
% 2.84/3.26 0 ==> 0
% 2.84/3.26 end
% 2.84/3.26
% 2.84/3.26 resolution: (20651) {G2,W4,D2,L1,V2,M1} { coll( Y, skol28, X ) }.
% 2.84/3.26 parent0[0]: (173) {G1,W8,D2,L2,V3,M2} R(1,0) { ! coll( X, Y, Z ), coll( Y,
% 2.84/3.26 Z, X ) }.
% 2.84/3.26 parent1[0]: (20157) {G15,W4,D2,L1,V2,M1} R(20114,323);r(20119) { coll( X, Y
% 2.84/3.26 , skol28 ) }.
% 2.84/3.26 substitution0:
% 2.84/3.26 X := X
% 2.84/3.26 Y := Y
% 2.84/3.26 Z := skol28
% 2.84/3.26 end
% 2.84/3.26 substitution1:
% 2.84/3.26 X := X
% 2.84/3.26 Y := Y
% 2.84/3.26 end
% 2.84/3.26
% 2.84/3.26 subsumption: (20292) {G16,W4,D2,L1,V2,M1} R(20157,173) { coll( X, skol28, Y
% 2.84/3.26 ) }.
% 2.84/3.26 parent0: (20651) {G2,W4,D2,L1,V2,M1} { coll( Y, skol28, X ) }.
% 2.84/3.26 substitution0:
% 2.84/3.26 X := Y
% 2.84/3.26 Y := X
% 2.84/3.26 end
% 2.84/3.26 permutation0:
% 2.84/3.26 0 ==> 0
% 2.84/3.26 end
% 2.84/3.26
% 2.84/3.26 resolution: (20652) {G11,W8,D2,L2,V3,M2} { coll( X, Y, Z ), ! coll( X,
% 2.84/3.26 skol28, Y ) }.
% 2.84/3.26 parent0[1]: (314) {G10,W12,D2,L3,V4,M3} R(309,2) { coll( X, Y, Z ), ! coll
% 2.84/3.26 ( X, T, Z ), ! coll( X, T, Y ) }.
% 2.84/3.26 parent1[0]: (20292) {G16,W4,D2,L1,V2,M1} R(20157,173) { coll( X, skol28, Y
% 2.84/3.26 ) }.
% 2.84/3.26 substitution0:
% 2.84/3.26 X := X
% 2.84/3.26 Y := Y
% 2.84/3.26 Z := Z
% 2.84/3.26 T := skol28
% 2.84/3.26 end
% 2.84/3.26 substitution1:
% 2.84/3.26 X := X
% 2.84/3.26 Y := Z
% 2.84/3.26 end
% 2.84/3.26
% 2.84/3.26 resolution: (20654) {G12,W4,D2,L1,V3,M1} { coll( X, Y, Z ) }.
% 2.84/3.26 parent0[1]: (20652) {G11,W8,D2,L2,V3,M2} { coll( X, Y, Z ), ! coll( X,
% 2.84/3.26 skol28, Y ) }.
% 2.84/3.26 parent1[0]: (20292) {G16,W4,D2,L1,V2,M1} R(20157,173) { coll( X, skol28, Y
% 2.84/3.26 ) }.
% 2.84/3.26 substitution0:
% 2.84/3.26 X := X
% 2.84/3.26 Y := Y
% 2.84/3.26 Z := Z
% 2.84/3.26 end
% 2.84/3.26 substitution1:
% 2.84/3.26 X := X
% 2.84/3.26 Y := Y
% 2.84/3.26 end
% 2.84/3.26
% 2.84/3.26 subsumption: (20297) {G17,W4,D2,L1,V3,M1} R(20292,314);r(20292) { coll( X,
% 2.84/3.26 Y, Z ) }.
% 2.84/3.26 parent0: (20654) {G12,W4,D2,L1,V3,M1} { coll( X, Y, Z ) }.
% 2.84/3.26 substitution0:
% 2.84/3.26 X := X
% 2.84/3.26 Y := Y
% 2.84/3.26 Z := Z
% 2.84/3.26 end
% 2.84/3.26 permutation0:
% 2.84/3.26 0 ==> 0
% 2.84/3.26 end
% 2.84/3.26
% 2.84/3.26 resolution: (20655) {G2,W4,D2,L1,V0,M1} { ! coll( skol23, skol28, skol20 )
% 2.84/3.26 }.
% 2.84/3.26 parent0[0]: (194) {G1,W8,D2,L2,V1,M2} R(2,130) { ! coll( skol23, X, skol22
% 2.84/3.26 ), ! coll( skol23, X, skol20 ) }.
% 2.84/3.26 parent1[0]: (20292) {G16,W4,D2,L1,V2,M1} R(20157,173) { coll( X, skol28, Y
% 2.84/3.26 ) }.
% 2.84/3.26 substitution0:
% 2.84/3.26 X := skol28
% 2.84/3.26 end
% 2.84/3.26 substitution1:
% 2.84/3.26 X := skol23
% 2.84/3.26 Y := skol22
% 2.84/3.26 end
% 2.84/3.26
% 2.84/3.26 resolution: (20657) {G3,W0,D0,L0,V0,M0} { }.
% 2.84/3.26 parent0[0]: (20655) {G2,W4,D2,L1,V0,M1} { ! coll( skol23, skol28, skol20 )
% 2.84/3.26 }.
% 2.84/3.26 parent1[0]: (20297) {G17,W4,D2,L1,V3,M1} R(20292,314);r(20292) { coll( X, Y
% 2.84/3.26 , Z ) }.
% 2.84/3.26 substitution0:
% 2.84/3.26 end
% 2.84/3.26 substitution1:
% 2.84/3.26 X := skol23
% 2.84/3.26 Y := skol28
% 2.84/3.26 Z := skol20
% 2.84/3.26 end
% 2.84/3.26
% 2.84/3.26 subsumption: (20298) {G18,W0,D0,L0,V0,M0} R(20292,194);r(20297) { }.
% 2.84/3.26 parent0: (20657) {G3,W0,D0,L0,V0,M0} { }.
% 2.84/3.26 substitution0:
% 2.84/3.26 end
% 2.84/3.26 permutation0:
% 2.84/3.26 end
% 2.84/3.26
% 2.84/3.26 Proof check complete!
% 2.84/3.26
% 2.84/3.26 Memory use:
% 2.84/3.26
% 2.84/3.26 space for terms: 315198
% 2.84/3.26 space for clauses: 975771
% 2.84/3.26
% 2.84/3.26
% 2.84/3.26 clauses generated: 110781
% 2.84/3.26 clauses kept: 20299
% 2.84/3.26 clauses selected: 1229
% 2.84/3.26 clauses deleted: 1695
% 2.84/3.26 clauses inuse deleted: 37
% 2.84/3.26
% 2.84/3.26 subsentry: 3984377
% 2.84/3.26 literals s-matched: 2339366
% 2.84/3.26 literals matched: 1316531
% 2.84/3.26 full subsumption: 499834
% 2.84/3.26
% 2.84/3.26 checksum: 1883299110
% 2.84/3.26
% 2.84/3.26
% 2.84/3.26 Bliksem ended
%------------------------------------------------------------------------------