%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : GEO602+1 : TPTP v8.1.0. Released v7.5.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n004.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 02:55:01 EDT 2022
% Result : Theorem 18.19s 18.55s
% Output : Refutation 18.19s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.09/0.14 % Problem : GEO602+1 : TPTP v8.1.0. Released v7.5.0.
% 0.09/0.15 % Command : bliksem %s
% 0.14/0.36 % Computer : n004.cluster.edu
% 0.14/0.36 % Model : x86_64 x86_64
% 0.14/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36 % Memory : 8042.1875MB
% 0.14/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36 % CPULimit : 300
% 0.14/0.36 % DateTime : Fri Jun 17 20:46:38 EDT 2022
% 0.14/0.37 % CPUTime :
% 0.81/1.25 *** allocated 10000 integers for termspace/termends
% 0.81/1.25 *** allocated 10000 integers for clauses
% 0.81/1.25 *** allocated 10000 integers for justifications
% 0.81/1.25 Bliksem 1.12
% 0.81/1.25
% 0.81/1.25
% 0.81/1.25 Automatic Strategy Selection
% 0.81/1.25
% 0.81/1.25 *** allocated 15000 integers for termspace/termends
% 0.81/1.25
% 0.81/1.25 Clauses:
% 0.81/1.25
% 0.81/1.25 { ! coll( X, Y, Z ), coll( X, Z, Y ) }.
% 0.81/1.25 { ! coll( X, Y, Z ), coll( Y, X, Z ) }.
% 0.81/1.25 { ! coll( X, T, Y ), ! coll( X, T, Z ), coll( Y, Z, X ) }.
% 0.81/1.25 { ! para( X, Y, Z, T ), para( X, Y, T, Z ) }.
% 0.81/1.25 { ! para( X, Y, Z, T ), para( Z, T, X, Y ) }.
% 0.81/1.25 { ! para( X, Y, U, W ), ! para( U, W, Z, T ), para( X, Y, Z, T ) }.
% 0.81/1.25 { ! perp( X, Y, Z, T ), perp( X, Y, T, Z ) }.
% 0.81/1.25 { ! perp( X, Y, Z, T ), perp( Z, T, X, Y ) }.
% 0.81/1.25 { ! perp( X, Y, U, W ), ! perp( U, W, Z, T ), para( X, Y, Z, T ) }.
% 0.81/1.25 { ! para( X, Y, U, W ), ! perp( U, W, Z, T ), perp( X, Y, Z, T ) }.
% 0.81/1.25 { ! midp( Z, Y, X ), midp( Z, X, Y ) }.
% 0.81/1.25 { ! cong( T, X, T, Y ), ! cong( T, X, T, Z ), circle( T, X, Y, Z ) }.
% 0.81/1.25 { ! cong( U, X, U, Y ), ! cong( U, X, U, Z ), ! cong( U, X, U, T ), cyclic
% 0.81/1.25 ( X, Y, Z, T ) }.
% 0.81/1.25 { ! cyclic( X, Y, Z, T ), cyclic( X, Y, T, Z ) }.
% 0.81/1.25 { ! cyclic( X, Y, Z, T ), cyclic( X, Z, Y, T ) }.
% 0.81/1.25 { ! cyclic( X, Y, Z, T ), cyclic( Y, X, Z, T ) }.
% 0.81/1.25 { ! cyclic( U, X, Y, Z ), ! cyclic( U, X, Y, T ), cyclic( X, Y, Z, T ) }.
% 0.81/1.25 { ! eqangle( X, Y, Z, T, U, W, V0, V1 ), eqangle( Y, X, Z, T, U, W, V0, V1
% 0.81/1.25 ) }.
% 0.81/1.25 { ! eqangle( X, Y, Z, T, U, W, V0, V1 ), eqangle( Z, T, X, Y, V0, V1, U, W
% 0.81/1.25 ) }.
% 0.81/1.25 { ! eqangle( X, Y, Z, T, U, W, V0, V1 ), eqangle( U, W, V0, V1, X, Y, Z, T
% 0.81/1.25 ) }.
% 0.81/1.25 { ! eqangle( X, Y, Z, T, U, W, V0, V1 ), eqangle( X, Y, U, W, Z, T, V0, V1
% 0.81/1.25 ) }.
% 0.81/1.25 { ! eqangle( X, Y, Z, T, V2, V3, V4, V5 ), ! eqangle( V2, V3, V4, V5, U, W
% 0.81/1.25 , V0, V1 ), eqangle( X, Y, Z, T, U, W, V0, V1 ) }.
% 0.81/1.25 { ! cong( X, Y, Z, T ), cong( X, Y, T, Z ) }.
% 0.81/1.25 { ! cong( X, Y, Z, T ), cong( Z, T, X, Y ) }.
% 0.81/1.25 { ! cong( X, Y, U, W ), ! cong( U, W, Z, T ), cong( X, Y, Z, T ) }.
% 0.81/1.25 { ! eqratio( X, Y, Z, T, U, W, V0, V1 ), eqratio( Y, X, Z, T, U, W, V0, V1
% 0.81/1.25 ) }.
% 0.81/1.25 { ! eqratio( X, Y, Z, T, U, W, V0, V1 ), eqratio( Z, T, X, Y, V0, V1, U, W
% 0.81/1.25 ) }.
% 0.81/1.25 { ! eqratio( X, Y, Z, T, U, W, V0, V1 ), eqratio( U, W, V0, V1, X, Y, Z, T
% 0.81/1.25 ) }.
% 0.81/1.25 { ! eqratio( X, Y, Z, T, U, W, V0, V1 ), eqratio( X, Y, U, W, Z, T, V0, V1
% 0.81/1.25 ) }.
% 0.81/1.25 { ! eqratio( X, Y, Z, T, V2, V3, V4, V5 ), ! eqratio( V2, V3, V4, V5, U, W
% 0.81/1.25 , V0, V1 ), eqratio( X, Y, Z, T, U, W, V0, V1 ) }.
% 0.81/1.25 { ! simtri( X, Z, Y, T, W, U ), simtri( X, Y, Z, T, U, W ) }.
% 0.81/1.25 { ! simtri( Y, X, Z, U, T, W ), simtri( X, Y, Z, T, U, W ) }.
% 0.81/1.25 { ! simtri( T, U, W, X, Y, Z ), simtri( X, Y, Z, T, U, W ) }.
% 0.81/1.25 { ! simtri( X, Y, Z, V0, V1, V2 ), ! simtri( V0, V1, V2, T, U, W ), simtri
% 0.81/1.25 ( X, Y, Z, T, U, W ) }.
% 0.81/1.25 { ! contri( X, Z, Y, T, W, U ), contri( X, Y, Z, T, U, W ) }.
% 0.81/1.25 { ! contri( Y, X, Z, U, T, W ), contri( X, Y, Z, T, U, W ) }.
% 0.81/1.25 { ! contri( T, U, W, X, Y, Z ), contri( X, Y, Z, T, U, W ) }.
% 0.81/1.25 { ! contri( X, Y, Z, V0, V1, V2 ), ! contri( V0, V1, V2, T, U, W ), contri
% 0.81/1.25 ( X, Y, Z, T, U, W ) }.
% 0.81/1.25 { ! eqangle( X, Y, U, W, Z, T, U, W ), para( X, Y, Z, T ) }.
% 0.81/1.25 { ! para( X, Y, Z, T ), eqangle( X, Y, U, W, Z, T, U, W ) }.
% 0.81/1.25 { ! cyclic( X, Y, Z, T ), eqangle( Z, X, Z, Y, T, X, T, Y ) }.
% 0.81/1.25 { ! eqangle( Z, X, Z, Y, T, X, T, Y ), coll( Z, T, X ), cyclic( X, Y, Z, T
% 0.81/1.25 ) }.
% 0.81/1.25 { ! eqangle( Z, X, Z, Y, T, X, T, Y ), ! coll( Z, T, Y ), cyclic( X, Y, Z,
% 0.81/1.25 T ) }.
% 0.81/1.25 { ! cyclic( X, Y, U, Z ), ! cyclic( X, Y, U, T ), ! cyclic( X, Y, U, W ), !
% 0.81/1.25 eqangle( U, X, U, Y, W, Z, W, T ), cong( X, Y, Z, T ) }.
% 0.81/1.25 { ! midp( Z, U, X ), ! midp( T, U, Y ), para( Z, T, X, Y ) }.
% 0.81/1.25 { ! midp( U, X, T ), ! para( U, Z, T, Y ), ! coll( Z, X, Y ), midp( Z, X, Y
% 0.81/1.25 ) }.
% 0.81/1.25 { ! cong( Z, X, Z, Y ), eqangle( Z, X, X, Y, X, Y, Z, Y ) }.
% 0.81/1.25 { ! eqangle( Z, X, X, Y, X, Y, Z, Y ), coll( Z, X, Y ), cong( Z, X, Z, Y )
% 0.81/1.25 }.
% 0.81/1.25 { ! circle( U, X, Y, Z ), ! perp( U, X, X, T ), eqangle( X, T, X, Y, Z, X,
% 0.81/1.25 Z, Y ) }.
% 0.81/1.25 { ! circle( Y, X, T, U ), ! eqangle( X, Z, X, T, U, X, U, T ), perp( Y, X,
% 0.81/1.25 X, Z ) }.
% 0.81/1.25 { ! circle( T, X, Y, Z ), ! midp( U, Y, Z ), eqangle( X, Y, X, Z, T, Y, T,
% 0.81/1.25 U ) }.
% 0.81/1.25 { ! circle( U, T, X, Y ), ! coll( Z, X, Y ), ! eqangle( T, X, T, Y, U, X, U
% 0.81/1.25 , Z ), midp( Z, X, Y ) }.
% 0.81/1.25 { ! perp( X, Y, Y, T ), ! midp( Z, X, T ), cong( X, Z, Y, Z ) }.
% 0.81/1.25 { ! circle( T, X, Y, Z ), ! coll( T, X, Z ), perp( X, Y, Y, Z ) }.
% 0.81/1.25 { ! cyclic( X, Y, Z, T ), ! para( X, Y, Z, T ), eqangle( X, T, Z, T, Z, T,
% 0.81/1.25 Z, Y ) }.
% 0.81/1.25 { ! midp( T, X, Y ), ! perp( Z, T, X, Y ), cong( Z, X, Z, Y ) }.
% 0.81/1.25 { ! cong( X, Z, Y, Z ), ! cong( X, T, Y, T ), perp( X, Y, Z, T ) }.
% 0.81/1.25 { ! cong( X, Y, T, Y ), ! cong( X, Z, T, Z ), ! cyclic( X, T, Y, Z ), perp
% 0.81/1.25 ( Y, X, X, Z ) }.
% 0.81/1.25 { ! eqangle( X, Y, Y, Z, T, U, U, W ), ! eqangle( X, Z, Y, Z, T, W, U, W )
% 0.81/1.25 , coll( X, Y, Z ), simtri( X, Y, Z, T, U, W ) }.
% 0.81/1.25 { ! simtri( X, Y, Z, T, U, W ), eqratio( X, Y, X, Z, T, U, T, W ) }.
% 0.81/1.25 { ! simtri( X, Y, Z, T, U, W ), eqangle( X, Y, Y, Z, T, U, U, W ) }.
% 0.81/1.25 { ! simtri( X, Y, Z, T, U, W ), ! cong( X, Y, T, U ), contri( X, Y, Z, T, U
% 0.81/1.25 , W ) }.
% 0.81/1.25 { ! contri( X, Y, U, Z, T, W ), cong( X, Y, Z, T ) }.
% 0.81/1.25 { ! midp( U, X, Y ), ! midp( U, Z, T ), para( X, Z, Y, T ) }.
% 0.81/1.25 { ! midp( Z, T, U ), ! para( T, X, U, Y ), ! para( T, Y, U, X ), midp( Z, X
% 0.81/1.25 , Y ) }.
% 0.81/1.25 { ! para( X, Y, Z, T ), ! coll( U, X, Z ), ! coll( U, Y, T ), eqratio( U, X
% 0.81/1.25 , X, Z, U, Y, Y, T ) }.
% 0.81/1.25 { ! para( X, Y, X, Z ), coll( X, Y, Z ) }.
% 0.81/1.25 { ! cong( X, Y, X, Z ), ! coll( X, Y, Z ), midp( X, Y, Z ) }.
% 0.81/1.25 { ! midp( X, Y, Z ), cong( X, Y, X, Z ) }.
% 0.81/1.25 { ! midp( X, Y, Z ), coll( X, Y, Z ) }.
% 0.81/1.25 { ! midp( U, X, Y ), ! midp( W, Z, T ), eqratio( U, X, X, Y, W, Z, Z, T ) }
% 0.81/1.25 .
% 0.81/1.25 { ! eqangle( X, Y, Z, T, Z, T, X, Y ), para( X, Y, Z, T ), perp( X, Y, Z, T
% 0.81/1.25 ) }.
% 0.81/1.25 { ! eqangle( X, Y, Z, T, Z, T, X, Y ), perp( X, Y, Z, T ), para( X, Y, Z, T
% 0.81/1.25 ) }.
% 0.81/1.25 { ! eqangle( X, Y, Z, T, U, W, V0, V1 ), ! para( U, W, V0, V1 ), para( X, Y
% 0.81/1.25 , Z, T ) }.
% 0.81/1.25 { ! eqangle( X, Y, Z, T, U, W, V0, V1 ), ! perp( U, W, V0, V1 ), perp( X, Y
% 0.81/1.25 , Z, T ) }.
% 0.81/1.25 { ! eqratio( X, Y, Z, T, U, W, V0, V1 ), ! cong( U, W, V0, V1 ), cong( X, Y
% 0.81/1.25 , Z, T ) }.
% 0.81/1.25 { ! perp( Z, Y, Y, X ), ! eqangle( T, Z, Y, Z, Y, Z, X, Z ), coll( skol1( U
% 0.81/1.25 , W, Z, T ), Z, T ) }.
% 0.81/1.25 { ! perp( Z, Y, Y, X ), ! eqangle( T, Z, Y, Z, Y, Z, X, Z ), coll( skol1( X
% 0.81/1.25 , Y, Z, T ), X, Y ) }.
% 0.81/1.25 { ! cong( Z, X, Z, Y ), ! eqangle( X, Z, Z, T, Z, T, Z, Y ), coll( skol2( U
% 0.81/1.25 , W, Z, T ), Z, T ) }.
% 0.81/1.25 { ! cong( Z, X, Z, Y ), ! eqangle( X, Z, Z, T, Z, T, Z, Y ), coll( Y, X,
% 0.81/1.25 skol2( X, Y, Z, T ) ) }.
% 0.81/1.25 { ! perp( Z, T, X, Y ), ! eqangle( X, Z, Z, T, Z, T, Z, Y ), coll( skol3( U
% 0.81/1.25 , W, Z, T ), Z, T ) }.
% 0.81/1.25 { ! perp( Z, T, X, Y ), ! eqangle( X, Z, Z, T, Z, T, Z, Y ), coll( Y, X,
% 0.81/1.25 skol3( X, Y, Z, T ) ) }.
% 0.81/1.25 { ! perp( Z, T, X, Y ), ! cong( Z, X, Z, Y ), coll( skol4( U, W, Z, T ), Z
% 0.81/1.25 , T ) }.
% 0.81/1.25 { ! perp( Z, T, X, Y ), ! cong( Z, X, Z, Y ), coll( Y, X, skol4( X, Y, Z, T
% 0.81/1.25 ) ) }.
% 0.81/1.25 { ! eqangle( X, Z, Y, Z, X, T, Y, U ), coll( X, Y, Z ), cyclic( T, Y, Z,
% 0.81/1.25 skol5( W, Y, Z, T ) ) }.
% 0.81/1.25 { ! eqangle( X, Z, Y, Z, X, T, Y, U ), coll( X, Y, Z ), eqangle( X, Z, Y, Z
% 0.81/1.25 , X, skol5( X, Y, Z, T ), Y, skol5( X, Y, Z, T ) ) }.
% 0.81/1.25 { ! midp( U, X, Y ), ! midp( W, Z, T ), midp( skol6( X, V0, V1, T, V2, V3 )
% 0.81/1.25 , X, T ) }.
% 0.81/1.25 { ! midp( U, X, Y ), ! midp( W, Z, T ), para( skol6( X, V0, Z, T, V1, W ),
% 0.81/1.25 W, X, Z ) }.
% 0.81/1.25 { ! midp( U, X, Y ), ! midp( W, Z, T ), para( skol6( X, Y, Z, T, U, W ), U
% 0.81/1.25 , Y, T ) }.
% 0.81/1.25 { ! midp( Z, X, Y ), ! midp( W, T, U ), ! coll( T, X, Y ), ! coll( U, X, Y
% 0.81/1.25 ), midp( skol7( X, V0 ), X, V0 ) }.
% 0.81/1.25 { ! midp( T, X, U ), ! para( X, W, Z, T ), ! para( X, W, U, Y ), ! coll( W
% 0.81/1.25 , Y, Z ), coll( skol8( V0, V1, Z, T ), T, Z ) }.
% 0.81/1.25 { ! midp( T, X, U ), ! para( X, W, Z, T ), ! para( X, W, U, Y ), ! coll( W
% 0.81/1.25 , Y, Z ), coll( skol8( X, Y, Z, T ), X, Y ) }.
% 0.81/1.25 { ! cong( T, Z, T, U ), ! perp( X, Y, Y, T ), cong( T, Z, T, skol9( W, V0,
% 0.81/1.25 Z, T ) ) }.
% 0.81/1.25 { ! cong( T, Z, T, U ), ! perp( X, Y, Y, T ), cong( Y, Z, Y, skol9( W, Y, Z
% 0.81/1.25 , T ) ) }.
% 0.81/1.25 { ! cong( T, Z, T, U ), ! perp( X, Y, Y, T ), para( skol9( X, Y, Z, T ), Z
% 0.81/1.25 , X, Y ) }.
% 0.81/1.25 { ! perp( X, T, Y, Z ), ! perp( Y, T, X, Z ), coll( skol10( U, Y, Z ), Z, Y
% 0.81/1.25 ) }.
% 0.81/1.25 { ! perp( X, T, Y, Z ), ! perp( Y, T, X, Z ), perp( X, skol10( X, Y, Z ), Z
% 0.81/1.25 , Y ) }.
% 0.81/1.25 { ! perp( X, T, Y, Z ), ! perp( Y, T, X, Z ), alpha1( X, Y, Z ) }.
% 0.81/1.25 { ! alpha1( X, Y, Z ), coll( skol11( X, T, Z ), Z, X ) }.
% 0.81/1.25 { ! alpha1( X, Y, Z ), perp( Y, skol11( X, Y, Z ), Z, X ) }.
% 0.81/1.25 { ! coll( T, Z, X ), ! perp( Y, T, Z, X ), alpha1( X, Y, Z ) }.
% 0.81/1.25 { ! circle( Y, X, Z, T ), perp( skol12( X, Y ), X, X, Y ) }.
% 2.94/3.30 { ! circle( W, X, Y, Z ), ! cong( W, X, W, T ), ! cong( U, X, U, Y ), W = U
% 2.94/3.30 , alpha2( X, Z, U, skol13( X, V0, Z, V1, U ) ) }.
% 2.94/3.30 { ! circle( W, X, Y, Z ), ! cong( W, X, W, T ), ! cong( U, X, U, Y ), W = U
% 2.94/3.30 , coll( skol21( V0, Y, T, V1 ), Y, T ) }.
% 2.94/3.30 { ! circle( W, X, Y, Z ), ! cong( W, X, W, T ), ! cong( U, X, U, Y ), W = U
% 2.94/3.30 , cong( skol21( X, Y, T, U ), U, U, X ) }.
% 2.94/3.30 { ! alpha2( X, Y, Z, T ), coll( T, X, Y ) }.
% 2.94/3.30 { ! alpha2( X, Y, Z, T ), cong( T, Z, Z, X ) }.
% 2.94/3.30 { ! coll( T, X, Y ), ! cong( T, Z, Z, X ), alpha2( X, Y, Z, T ) }.
% 2.94/3.30 { ! cyclic( X, Y, Z, T ), ! para( X, Y, Z, T ), ! midp( U, X, Y ), circle(
% 2.94/3.30 skol14( X, Y, Z ), X, Y, Z ) }.
% 2.94/3.30 { ! perp( X, Z, Z, Y ), ! cyclic( X, Y, Z, T ), circle( skol15( X, Y, Z ),
% 2.94/3.30 X, Y, Z ) }.
% 2.94/3.30 { ! perp( X, U, U, T ), ! coll( T, Y, Z ), coll( skol16( W, Y, Z ), Y, Z )
% 2.94/3.30 }.
% 2.94/3.30 { ! perp( X, U, U, T ), ! coll( T, Y, Z ), perp( skol16( X, Y, Z ), X, Y, Z
% 2.94/3.30 ) }.
% 2.94/3.30 { ! perp( X, Z, X, Y ), ! perp( Y, X, Y, T ), ! midp( U, Z, T ), midp(
% 2.94/3.30 skol17( X, Y ), X, Y ) }.
% 2.94/3.30 { ! cong( Y, X, Y, Z ), ! perp( X, Y, Y, Z ), coll( X, Y, skol18( X, Y ) )
% 2.94/3.30 }.
% 2.94/3.30 { ! cong( Y, X, Y, Z ), ! perp( X, Y, Y, Z ), cong( Y, X, Y, skol18( X, Y )
% 2.94/3.30 ) }.
% 2.94/3.30 { ! para( U, W, X, Y ), ! coll( Z, U, X ), ! coll( Z, W, Y ), ! coll( T, U
% 2.94/3.30 , W ), coll( Z, T, skol19( V0, V1, Z, T ) ) }.
% 2.94/3.30 { ! para( U, W, X, Y ), ! coll( Z, U, X ), ! coll( Z, W, Y ), ! coll( T, U
% 2.94/3.30 , W ), coll( skol19( X, Y, Z, T ), X, Y ) }.
% 2.94/3.30 { circle( skol20, skol25, skol26, skol27 ) }.
% 2.94/3.30 { circle( skol28, skol25, skol29, skol30 ) }.
% 2.94/3.30 { circle( skol20, skol25, skol31, skol32 ) }.
% 2.94/3.30 { circle( skol28, skol25, skol31, skol33 ) }.
% 2.94/3.30 { coll( skol34, skol28, skol20 ) }.
% 2.94/3.30 { coll( skol34, skol25, skol31 ) }.
% 2.94/3.30 { circle( skol20, skol25, skol22, skol35 ) }.
% 2.94/3.30 { circle( skol28, skol25, skol23, skol36 ) }.
% 2.94/3.30 { coll( skol23, skol25, skol22 ) }.
% 2.94/3.30 { coll( skol24, skol31, skol22 ) }.
% 2.94/3.30 { circle( skol28, skol25, skol24, skol37 ) }.
% 2.94/3.30 { ! perp( skol23, skol24, skol22, skol20 ) }.
% 2.94/3.30
% 2.94/3.30 percentage equality = 0.008671, percentage horn = 0.929688
% 2.94/3.30 This is a problem with some equality
% 2.94/3.30
% 2.94/3.30
% 2.94/3.30
% 2.94/3.30 Options Used:
% 2.94/3.30
% 2.94/3.30 useres = 1
% 2.94/3.30 useparamod = 1
% 2.94/3.30 useeqrefl = 1
% 2.94/3.30 useeqfact = 1
% 2.94/3.30 usefactor = 1
% 2.94/3.30 usesimpsplitting = 0
% 2.94/3.30 usesimpdemod = 5
% 2.94/3.30 usesimpres = 3
% 2.94/3.30
% 2.94/3.30 resimpinuse = 1000
% 2.94/3.30 resimpclauses = 20000
% 2.94/3.30 substype = eqrewr
% 2.94/3.30 backwardsubs = 1
% 2.94/3.30 selectoldest = 5
% 2.94/3.30
% 2.94/3.30 litorderings [0] = split
% 2.94/3.30 litorderings [1] = extend the termordering, first sorting on arguments
% 2.94/3.30
% 2.94/3.30 termordering = kbo
% 2.94/3.30
% 2.94/3.30 litapriori = 0
% 2.94/3.30 termapriori = 1
% 2.94/3.30 litaposteriori = 0
% 2.94/3.30 termaposteriori = 0
% 2.94/3.30 demodaposteriori = 0
% 2.94/3.30 ordereqreflfact = 0
% 2.94/3.30
% 2.94/3.30 litselect = negord
% 2.94/3.30
% 2.94/3.30 maxweight = 15
% 2.94/3.30 maxdepth = 30000
% 2.94/3.30 maxlength = 115
% 2.94/3.30 maxnrvars = 195
% 2.94/3.30 excuselevel = 1
% 2.94/3.30 increasemaxweight = 1
% 2.94/3.30
% 2.94/3.30 maxselected = 10000000
% 2.94/3.30 maxnrclauses = 10000000
% 2.94/3.30
% 2.94/3.30 showgenerated = 0
% 2.94/3.30 showkept = 0
% 2.94/3.30 showselected = 0
% 2.94/3.30 showdeleted = 0
% 2.94/3.30 showresimp = 1
% 2.94/3.30 showstatus = 2000
% 2.94/3.30
% 2.94/3.30 prologoutput = 0
% 2.94/3.30 nrgoals = 5000000
% 2.94/3.30 totalproof = 1
% 2.94/3.30
% 2.94/3.30 Symbols occurring in the translation:
% 2.94/3.30
% 2.94/3.30 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 2.94/3.30 . [1, 2] (w:1, o:57, a:1, s:1, b:0),
% 2.94/3.30 ! [4, 1] (w:0, o:52, a:1, s:1, b:0),
% 2.94/3.30 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 2.94/3.30 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 2.94/3.30 coll [38, 3] (w:1, o:85, a:1, s:1, b:0),
% 2.94/3.30 para [40, 4] (w:1, o:93, a:1, s:1, b:0),
% 2.94/3.30 perp [43, 4] (w:1, o:94, a:1, s:1, b:0),
% 2.94/3.30 midp [45, 3] (w:1, o:86, a:1, s:1, b:0),
% 2.94/3.30 cong [47, 4] (w:1, o:95, a:1, s:1, b:0),
% 2.94/3.30 circle [48, 4] (w:1, o:96, a:1, s:1, b:0),
% 2.94/3.30 cyclic [49, 4] (w:1, o:97, a:1, s:1, b:0),
% 2.94/3.30 eqangle [54, 8] (w:1, o:112, a:1, s:1, b:0),
% 2.94/3.30 eqratio [57, 8] (w:1, o:113, a:1, s:1, b:0),
% 2.94/3.30 simtri [59, 6] (w:1, o:109, a:1, s:1, b:0),
% 2.94/3.30 contri [60, 6] (w:1, o:110, a:1, s:1, b:0),
% 2.94/3.30 alpha1 [75, 3] (w:1, o:87, a:1, s:1, b:1),
% 2.94/3.30 alpha2 [76, 4] (w:1, o:98, a:1, s:1, b:1),
% 2.94/3.30 skol1 [77, 4] (w:1, o:99, a:1, s:1, b:1),
% 2.94/3.30 skol2 [78, 4] (w:1, o:101, a:1, s:1, b:1),
% 2.94/3.30 skol3 [79, 4] (w:1, o:103, a:1, s:1, b:1),
% 2.94/3.30 skol4 [80, 4] (w:1, o:104, a:1, s:1, b:1),
% 18.19/18.55 skol5 [81, 4] (w:1, o:105, a:1, s:1, b:1),
% 18.19/18.55 skol6 [82, 6] (w:1, o:111, a:1, s:1, b:1),
% 18.19/18.55 skol7 [83, 2] (w:1, o:81, a:1, s:1, b:1),
% 18.19/18.55 skol8 [84, 4] (w:1, o:106, a:1, s:1, b:1),
% 18.19/18.55 skol9 [85, 4] (w:1, o:107, a:1, s:1, b:1),
% 18.19/18.55 skol10 [86, 3] (w:1, o:88, a:1, s:1, b:1),
% 18.19/18.55 skol11 [87, 3] (w:1, o:89, a:1, s:1, b:1),
% 18.19/18.55 skol12 [88, 2] (w:1, o:82, a:1, s:1, b:1),
% 18.19/18.55 skol13 [89, 5] (w:1, o:108, a:1, s:1, b:1),
% 18.19/18.55 skol14 [90, 3] (w:1, o:90, a:1, s:1, b:1),
% 18.19/18.55 skol15 [91, 3] (w:1, o:91, a:1, s:1, b:1),
% 18.19/18.55 skol16 [92, 3] (w:1, o:92, a:1, s:1, b:1),
% 18.19/18.55 skol17 [93, 2] (w:1, o:83, a:1, s:1, b:1),
% 18.19/18.55 skol18 [94, 2] (w:1, o:84, a:1, s:1, b:1),
% 18.19/18.55 skol19 [95, 4] (w:1, o:100, a:1, s:1, b:1),
% 18.19/18.55 skol20 [96, 0] (w:1, o:35, a:1, s:1, b:1),
% 18.19/18.55 skol21 [97, 4] (w:1, o:102, a:1, s:1, b:1),
% 18.19/18.55 skol22 [98, 0] (w:1, o:36, a:1, s:1, b:1),
% 18.19/18.55 skol23 [99, 0] (w:1, o:37, a:1, s:1, b:1),
% 18.19/18.55 skol24 [100, 0] (w:1, o:38, a:1, s:1, b:1),
% 18.19/18.55 skol25 [101, 0] (w:1, o:39, a:1, s:1, b:1),
% 18.19/18.55 skol26 [102, 0] (w:1, o:40, a:1, s:1, b:1),
% 18.19/18.55 skol27 [103, 0] (w:1, o:41, a:1, s:1, b:1),
% 18.19/18.55 skol28 [104, 0] (w:1, o:42, a:1, s:1, b:1),
% 18.19/18.55 skol29 [105, 0] (w:1, o:43, a:1, s:1, b:1),
% 18.19/18.55 skol30 [106, 0] (w:1, o:44, a:1, s:1, b:1),
% 18.19/18.55 skol31 [107, 0] (w:1, o:45, a:1, s:1, b:1),
% 18.19/18.55 skol32 [108, 0] (w:1, o:46, a:1, s:1, b:1),
% 18.19/18.55 skol33 [109, 0] (w:1, o:47, a:1, s:1, b:1),
% 18.19/18.55 skol34 [110, 0] (w:1, o:48, a:1, s:1, b:1),
% 18.19/18.55 skol35 [111, 0] (w:1, o:49, a:1, s:1, b:1),
% 18.19/18.55 skol36 [112, 0] (w:1, o:50, a:1, s:1, b:1),
% 18.19/18.55 skol37 [113, 0] (w:1, o:51, a:1, s:1, b:1).
% 18.19/18.55
% 18.19/18.55
% 18.19/18.55 Starting Search:
% 18.19/18.55
% 18.19/18.55 *** allocated 15000 integers for clauses
% 18.19/18.55 *** allocated 22500 integers for clauses
% 18.19/18.55 *** allocated 33750 integers for clauses
% 18.19/18.55 *** allocated 22500 integers for termspace/termends
% 18.19/18.55 *** allocated 50625 integers for clauses
% 18.19/18.55 *** allocated 75937 integers for clauses
% 18.19/18.55 Resimplifying inuse:
% 18.19/18.55 Done
% 18.19/18.55
% 18.19/18.55 *** allocated 33750 integers for termspace/termends
% 18.19/18.55 *** allocated 113905 integers for clauses
% 18.19/18.55 *** allocated 50625 integers for termspace/termends
% 18.19/18.55
% 18.19/18.55 Intermediate Status:
% 18.19/18.55 Generated: 13272
% 18.19/18.55 Kept: 2001
% 18.19/18.55 Inuse: 327
% 18.19/18.55 Deleted: 1
% 18.19/18.55 Deletedinuse: 1
% 18.19/18.55
% 18.19/18.55 Resimplifying inuse:
% 18.19/18.55 Done
% 18.19/18.55
% 18.19/18.55 *** allocated 170857 integers for clauses
% 18.19/18.55 *** allocated 75937 integers for termspace/termends
% 18.19/18.55 Resimplifying inuse:
% 18.19/18.55 Done
% 18.19/18.55
% 18.19/18.55 *** allocated 256285 integers for clauses
% 18.19/18.55 *** allocated 113905 integers for termspace/termends
% 18.19/18.55
% 18.19/18.55 Intermediate Status:
% 18.19/18.55 Generated: 35625
% 18.19/18.55 Kept: 4044
% 18.19/18.55 Inuse: 471
% 18.19/18.55 Deleted: 1
% 18.19/18.55 Deletedinuse: 1
% 18.19/18.55
% 18.19/18.55 Resimplifying inuse:
% 18.19/18.55 Done
% 18.19/18.55
% 18.19/18.55 Resimplifying inuse:
% 18.19/18.55 Done
% 18.19/18.55
% 18.19/18.55 *** allocated 170857 integers for termspace/termends
% 18.19/18.55 *** allocated 384427 integers for clauses
% 18.19/18.55
% 18.19/18.55 Intermediate Status:
% 18.19/18.55 Generated: 48671
% 18.19/18.55 Kept: 6127
% 18.19/18.55 Inuse: 531
% 18.19/18.55 Deleted: 1
% 18.19/18.55 Deletedinuse: 1
% 18.19/18.55
% 18.19/18.55 Resimplifying inuse:
% 18.19/18.55 Done
% 18.19/18.55
% 18.19/18.55 Resimplifying inuse:
% 18.19/18.55 Done
% 18.19/18.55
% 18.19/18.55 *** allocated 576640 integers for clauses
% 18.19/18.55
% 18.19/18.55 Intermediate Status:
% 18.19/18.55 Generated: 64210
% 18.19/18.55 Kept: 8196
% 18.19/18.55 Inuse: 685
% 18.19/18.55 Deleted: 2
% 18.19/18.55 Deletedinuse: 1
% 18.19/18.55
% 18.19/18.55 Resimplifying inuse:
% 18.19/18.55 Done
% 18.19/18.55
% 18.19/18.55 *** allocated 256285 integers for termspace/termends
% 18.19/18.55 Resimplifying inuse:
% 18.19/18.55 Done
% 18.19/18.55
% 18.19/18.55
% 18.19/18.55 Intermediate Status:
% 18.19/18.55 Generated: 86688
% 18.19/18.55 Kept: 10209
% 18.19/18.55 Inuse: 766
% 18.19/18.55 Deleted: 5
% 18.19/18.55 Deletedinuse: 3
% 18.19/18.55
% 18.19/18.55 Resimplifying inuse:
% 18.19/18.55 Done
% 18.19/18.55
% 18.19/18.55 Resimplifying inuse:
% 18.19/18.55 Done
% 18.19/18.55
% 18.19/18.55 *** allocated 864960 integers for clauses
% 18.19/18.55
% 18.19/18.55 Intermediate Status:
% 18.19/18.55 Generated: 100857
% 18.19/18.55 Kept: 12580
% 18.19/18.55 Inuse: 855
% 18.19/18.55 Deleted: 14
% 18.19/18.55 Deletedinuse: 8
% 18.19/18.55
% 18.19/18.55 Resimplifying inuse:
% 18.19/18.55 Done
% 18.19/18.55
% 18.19/18.55 Resimplifying inuse:
% 18.19/18.55 Done
% 18.19/18.55
% 18.19/18.55
% 18.19/18.55 Intermediate Status:
% 18.19/18.55 Generated: 108941
% 18.19/18.55 Kept: 14593
% 18.19/18.55 Inuse: 899
% 18.19/18.55 Deleted: 16
% 18.19/18.55 Deletedinuse: 10
% 18.19/18.55
% 18.19/18.55 Resimplifying inuse:
% 18.19/18.55 Done
% 18.19/18.55
% 18.19/18.55 *** allocated 384427 integers for termspace/termends
% 18.19/18.55 Resimplifying inuse:
% 18.19/18.55 Done
% 18.19/18.55
% 18.19/18.55
% 18.19/18.55 Intermediate Status:
% 18.19/18.55 Generated: 121349
% 18.19/18.55 Kept: 16600
% 18.19/18.55 Inuse: 997
% 18.19/18.55 Deleted: 18
% 18.19/18.55 Deletedinuse: 10
% 18.19/18.55
% 18.19/18.55 Resimplifying inuse:
% 18.19/18.55 Done
% 18.19/18.55
% 18.19/18.55 Resimplifying inuse:
% 18.19/18.55 Done
% 18.19/18.55
% 18.19/18.55
% 18.19/18.55 Intermediate Status:
% 18.19/18.55 Generated: 139052
% 18.19/18.55 Kept: 18616
% 18.19/18.55 Inuse: 1139
% 18.19/18.55 Deleted: 20
% 18.19/18.55 Deletedinuse: 10
% 18.19/18.55
% 18.19/18.55 *** allocated 1297440 integers for clauses
% 18.19/18.55 Resimplifying inuse:
% 18.19/18.55 Done
% 18.19/18.55
% 18.19/18.55 Resimplifying inuse:
% 18.19/18.55 Done
% 18.19/18.55
% 18.19/18.55 Resimplifying clauses:
% 18.19/18.55 Done
% 18.19/18.55
% 18.19/18.55
% 18.19/18.55 Intermediate Status:
% 18.19/18.55 Generated: 165309
% 18.19/18.55 Kept: 20635
% 18.19/18.55 Inuse: 1258
% 18.19/18.55 Deleted: 1197
% 18.19/18.55 Deletedinuse: 10
% 18.19/18.55
% 18.19/18.55 Resimplifying inuse:
% 18.19/18.55 Done
% 18.19/18.55
% 18.19/18.55 Resimplifying inuse:
% 18.19/18.55 Done
% 18.19/18.55
% 18.19/18.55
% 18.19/18.55 Intermediate Status:
% 18.19/18.55 Generated: 176366
% 18.19/18.55 Kept: 22638
% 18.19/18.55 Inuse: 1352
% 18.19/18.55 Deleted: 1221
% 18.19/18.55 Deletedinuse: 34
% 18.19/18.55
% 18.19/18.55 Resimplifying inuse:
% 18.19/18.55 Done
% 18.19/18.55
% 18.19/18.55 Resimplifying inuse:
% 18.19/18.55 Done
% 18.19/18.55
% 18.19/18.55
% 18.19/18.55 Intermediate Status:
% 18.19/18.55 Generated: 190653
% 18.19/18.55 Kept: 24639
% 18.19/18.55 Inuse: 1479
% 18.19/18.55 Deleted: 1230
% 18.19/18.55 Deletedinuse: 42
% 18.19/18.55
% 18.19/18.55 Resimplifying inuse:
% 18.19/18.55 Done
% 18.19/18.55
% 18.19/18.55 Resimplifying inuse:
% 18.19/18.55 Done
% 18.19/18.55
% 18.19/18.55 *** allocated 576640 integers for termspace/termends
% 18.19/18.55
% 18.19/18.55 Intermediate Status:
% 18.19/18.55 Generated: 209957
% 18.19/18.55 Kept: 26639
% 18.19/18.55 Inuse: 1648
% 18.19/18.55 Deleted: 1250
% 18.19/18.55 Deletedinuse: 62
% 18.19/18.55
% 18.19/18.55 Resimplifying inuse:
% 18.19/18.55 Done
% 18.19/18.55
% 18.19/18.55 Resimplifying inuse:
% 18.19/18.55 Done
% 18.19/18.55
% 18.19/18.55 *** allocated 1946160 integers for clauses
% 18.19/18.55
% 18.19/18.55 Intermediate Status:
% 18.19/18.55 Generated: 229712
% 18.19/18.55 Kept: 28644
% 18.19/18.55 Inuse: 1817
% 18.19/18.55 Deleted: 1262
% 18.19/18.55 Deletedinuse: 74
% 18.19/18.55
% 18.19/18.55 Resimplifying inuse:
% 18.19/18.55 Done
% 18.19/18.55
% 18.19/18.55 Resimplifying inuse:
% 18.19/18.55 Done
% 18.19/18.55
% 18.19/18.55
% 18.19/18.55 Intermediate Status:
% 18.19/18.55 Generated: 246595
% 18.19/18.55 Kept: 31929
% 18.19/18.55 Inuse: 1957
% 18.19/18.55 Deleted: 1286
% 18.19/18.55 Deletedinuse: 98
% 18.19/18.55
% 18.19/18.55 Resimplifying inuse:
% 18.19/18.55 Done
% 18.19/18.55
% 18.19/18.55
% 18.19/18.55 Intermediate Status:
% 18.19/18.55 Generated: 251191
% 18.19/18.55 Kept: 34107
% 18.19/18.55 Inuse: 1972
% 18.19/18.55 Deleted: 1286
% 18.19/18.55 Deletedinuse: 98
% 18.19/18.55
% 18.19/18.55 Resimplifying inuse:
% 18.19/18.55 Done
% 18.19/18.55
% 18.19/18.55
% 18.19/18.55 Intermediate Status:
% 18.19/18.55 Generated: 260536
% 18.19/18.55 Kept: 36780
% 18.19/18.55 Inuse: 1987
% 18.19/18.55 Deleted: 1286
% 18.19/18.55 Deletedinuse: 98
% 18.19/18.55
% 18.19/18.55 Resimplifying inuse:
% 18.19/18.55 Done
% 18.19/18.55
% 18.19/18.55 Resimplifying inuse:
% 18.19/18.55 Done
% 18.19/18.55
% 18.19/18.55
% 18.19/18.55 Intermediate Status:
% 18.19/18.55 Generated: 282815
% 18.19/18.55 Kept: 40803
% 18.19/18.55 Inuse: 2040
% 18.19/18.55 Deleted: 1296
% 18.19/18.55 Deletedinuse: 106
% 18.19/18.55
% 18.19/18.55 Resimplifying inuse:
% 18.19/18.55 Done
% 18.19/18.55
% 18.19/18.55 Resimplifying clauses:
% 18.19/18.55 Done
% 18.19/18.55
% 18.19/18.55 *** allocated 864960 integers for termspace/termends
% 18.19/18.55 Resimplifying inuse:
% 18.19/18.55 Done
% 18.19/18.55
% 18.19/18.55
% 18.19/18.55 Intermediate Status:
% 18.19/18.55 Generated: 293297
% 18.19/18.55 Kept: 43273
% 18.19/18.55 Inuse: 2110
% 18.19/18.55 Deleted: 6229
% 18.19/18.55 Deletedinuse: 111
% 18.19/18.55
% 18.19/18.55 Resimplifying inuse:
% 18.19/18.55 Done
% 18.19/18.55
% 18.19/18.55 Resimplifying inuse:
% 18.19/18.55 Done
% 18.19/18.55
% 18.19/18.55 *** allocated 2919240 integers for clauses
% 18.19/18.55
% 18.19/18.55 Intermediate Status:
% 18.19/18.55 Generated: 301333
% 18.19/18.55 Kept: 45298
% 18.19/18.55 Inuse: 2150
% 18.19/18.55 Deleted: 6230
% 18.19/18.55 Deletedinuse: 112
% 18.19/18.55
% 18.19/18.55 Resimplifying inuse:
% 18.19/18.55 Done
% 18.19/18.55
% 18.19/18.55 Resimplifying inuse:
% 18.19/18.55 Done
% 18.19/18.55
% 18.19/18.55
% 18.19/18.55 Intermediate Status:
% 18.19/18.55 Generated: 315810
% 18.19/18.55 Kept: 47308
% 18.19/18.55 Inuse: 2271
% 18.19/18.55 Deleted: 6239
% 18.19/18.55 Deletedinuse: 120
% 18.19/18.55
% 18.19/18.55 Resimplifying inuse:
% 18.19/18.55 Done
% 18.19/18.55
% 18.19/18.55 Resimplifying inuse:
% 18.19/18.55 Done
% 18.19/18.55
% 18.19/18.55
% 18.19/18.55 Intermediate Status:
% 18.19/18.55 Generated: 343798
% 18.19/18.55 Kept: 49314
% 18.19/18.55 Inuse: 2459
% 18.19/18.55 Deleted: 6247
% 18.19/18.55 Deletedinuse: 125
% 18.19/18.55
% 18.19/18.55 Resimplifying inuse:
% 18.19/18.55 Done
% 18.19/18.55
% 18.19/18.55 Resimplifying inuse:
% 18.19/18.55 Done
% 18.19/18.55
% 18.19/18.55
% 18.19/18.55 Intermediate Status:
% 18.19/18.55 Generated: 360783
% 18.19/18.55 Kept: 51314
% 18.19/18.55 Inuse: 2601
% 18.19/18.55 Deleted: 6254
% 18.19/18.55 Deletedinuse: 131
% 18.19/18.55
% 18.19/18.55 Resimplifying inuse:
% 18.19/18.55 Done
% 18.19/18.55
% 18.19/18.55 Resimplifying inuse:
% 18.19/18.55 Done
% 18.19/18.55
% 18.19/18.55
% 18.19/18.55 Intermediate Status:
% 18.19/18.55 Generated: 380652
% 18.19/18.55 Kept: 53540
% 18.19/18.55 Inuse: 2687
% 18.19/18.55 Deleted: 6262
% 18.19/18.55 Deletedinuse: 136
% 18.19/18.55
% 18.19/18.55 Resimplifying inuse:
% 18.19/18.55 Done
% 18.19/18.55
% 18.19/18.55 Resimplifying inuse:
% 18.19/18.55 Done
% 18.19/18.55
% 18.19/18.55
% 18.19/18.55 Intermediate Status:
% 18.19/18.55 Generated: 402045
% 18.19/18.55 Kept: 55549
% 18.19/18.55 Inuse: 2822
% 18.19/18.55 Deleted: 6449
% 18.19/18.55 Deletedinuse: 262
% 18.19/18.55
% 18.19/18.55 Resimplifying inuse:
% 18.19/18.55 Done
% 18.19/18.55
% 18.19/18.55 Resimplifying inuse:
% 18.19/18.55 Done
% 18.19/18.55
% 18.19/18.55
% 18.19/18.55 Intermediate Status:
% 18.19/18.55 Generated: 424385
% 18.19/18.55 Kept: 57555
% 18.19/18.55 Inuse: 2959
% 18.19/18.55 Deleted: 6483
% 18.19/18.55 Deletedinuse: 262
% 18.19/18.55
% 18.19/18.55 Resimplifying inuse:
% 18.19/18.55 Done
% 18.19/18.55
% 18.19/18.55 Resimplifying inuse:
% 18.19/18.55 Done
% 18.19/18.55
% 18.19/18.55
% 18.19/18.55 Intermediate Status:
% 18.19/18.55 Generated: 449969
% 18.19/18.55 Kept: 59557
% 18.19/18.55 Inuse: 3099
% 18.19/18.55 Deleted: 6519
% 18.19/18.55 Deletedinuse: 264
% 18.19/18.55
% 18.19/18.55 Resimplifying inuse:
% 18.19/18.55 Done
% 18.19/18.55
% 18.19/18.55
% 18.19/18.55 Bliksems!, er is een bewijs:
% 18.19/18.55 % SZS status Theorem
% 18.19/18.55 % SZS output start Refutation
% 18.19/18.55
% 18.19/18.55 (0) {G0,W8,D2,L2,V3,M2} I { ! coll( X, Y, Z ), coll( X, Z, Y ) }.
% 18.19/18.55 (1) {G0,W8,D2,L2,V3,M2} I { ! coll( X, Y, Z ), coll( Y, X, Z ) }.
% 18.19/18.55 (2) {G0,W12,D2,L3,V4,M3} I { ! coll( X, T, Y ), ! coll( X, T, Z ), coll( Y
% 18.19/18.55 , Z, X ) }.
% 18.19/18.55 (6) {G0,W10,D2,L2,V4,M2} I { ! perp( X, Y, Z, T ), perp( X, Y, T, Z ) }.
% 18.19/18.55 (7) {G0,W10,D2,L2,V4,M2} I { ! perp( X, Y, Z, T ), perp( Z, T, X, Y ) }.
% 18.19/18.55 (8) {G0,W15,D2,L3,V6,M3} I { ! perp( X, Y, U, W ), ! perp( U, W, Z, T ),
% 18.19/18.55 para( X, Y, Z, T ) }.
% 18.19/18.55 (9) {G0,W15,D2,L3,V6,M3} I { ! para( X, Y, U, W ), ! perp( U, W, Z, T ),
% 18.19/18.55 perp( X, Y, Z, T ) }.
% 18.19/18.55 (13) {G0,W10,D2,L2,V4,M2} I { ! cyclic( X, Y, Z, T ), cyclic( X, Y, T, Z )
% 18.19/18.55 }.
% 18.19/18.55 (14) {G0,W10,D2,L2,V4,M2} I { ! cyclic( X, Y, Z, T ), cyclic( X, Z, Y, T )
% 18.19/18.55 }.
% 18.19/18.55 (15) {G0,W10,D2,L2,V4,M2} I { ! cyclic( X, Y, Z, T ), cyclic( Y, X, Z, T )
% 18.19/18.55 }.
% 18.19/18.55 (16) {G0,W15,D2,L3,V5,M3} I { ! cyclic( U, X, Y, Z ), ! cyclic( U, X, Y, T
% 18.19/18.55 ), cyclic( X, Y, Z, T ) }.
% 18.19/18.55 (18) {G0,W18,D2,L2,V8,M2} I { ! eqangle( X, Y, Z, T, U, W, V0, V1 ),
% 18.19/18.55 eqangle( Z, T, X, Y, V0, V1, U, W ) }.
% 18.19/18.55 (19) {G0,W18,D2,L2,V8,M2} I { ! eqangle( X, Y, Z, T, U, W, V0, V1 ),
% 18.19/18.55 eqangle( U, W, V0, V1, X, Y, Z, T ) }.
% 18.19/18.55 (39) {G0,W14,D2,L2,V6,M2} I { ! para( X, Y, Z, T ), eqangle( X, Y, U, W, Z
% 18.19/18.55 , T, U, W ) }.
% 18.19/18.55 (40) {G0,W14,D2,L2,V4,M2} I { ! cyclic( X, Y, Z, T ), eqangle( Z, X, Z, Y,
% 18.19/18.55 T, X, T, Y ) }.
% 18.19/18.55 (42) {G0,W18,D2,L3,V4,M3} I { ! eqangle( Z, X, Z, Y, T, X, T, Y ), ! coll(
% 18.19/18.55 Z, T, Y ), cyclic( X, Y, Z, T ) }.
% 18.19/18.55 (43) {G0,W29,D2,L5,V6,M5} I { ! cyclic( X, Y, U, Z ), ! cyclic( X, Y, U, T
% 18.19/18.55 ), ! cyclic( X, Y, U, W ), ! eqangle( U, X, U, Y, W, Z, W, T ), cong( X
% 18.19/18.55 , Y, Z, T ) }.
% 18.19/18.55 (56) {G0,W15,D2,L3,V4,M3} I { ! cong( X, Z, Y, Z ), ! cong( X, T, Y, T ),
% 18.19/18.55 perp( X, Y, Z, T ) }.
% 18.19/18.55 (96) {G0,W14,D2,L3,V4,M3} I { ! perp( X, T, Y, Z ), ! perp( Y, T, X, Z ),
% 18.19/18.55 alpha1( X, Y, Z ) }.
% 18.19/18.55 (97) {G0,W11,D3,L2,V4,M2} I { ! alpha1( X, Y, Z ), coll( skol11( X, T, Z )
% 18.19/18.55 , Z, X ) }.
% 18.19/18.55 (100) {G0,W12,D3,L2,V4,M2} I { ! circle( Y, X, Z, T ), perp( skol12( X, Y )
% 18.19/18.55 , X, X, Y ) }.
% 18.19/18.55 (117) {G0,W5,D2,L1,V0,M1} I { circle( skol28, skol25, skol29, skol30 ) }.
% 18.19/18.55 (127) {G0,W5,D2,L1,V0,M1} I { ! perp( skol23, skol24, skol22, skol20 ) }.
% 18.19/18.55 (204) {G1,W12,D2,L3,V4,M3} R(2,0) { ! coll( X, Y, Z ), ! coll( X, Y, T ),
% 18.19/18.55 coll( Z, X, T ) }.
% 18.19/18.55 (213) {G2,W8,D2,L2,V3,M2} F(204) { ! coll( X, Y, Z ), coll( Z, X, Z ) }.
% 18.19/18.55 (264) {G1,W15,D2,L3,V6,M3} R(8,7) { ! perp( X, Y, Z, T ), para( U, W, Z, T
% 18.19/18.55 ), ! perp( X, Y, U, W ) }.
% 18.19/18.55 (265) {G1,W15,D2,L3,V6,M3} R(8,7) { ! perp( X, Y, Z, T ), para( X, Y, U, W
% 18.19/18.55 ), ! perp( U, W, Z, T ) }.
% 18.19/18.55 (273) {G2,W10,D2,L2,V4,M2} F(265) { ! perp( X, Y, Z, T ), para( X, Y, X, Y
% 18.19/18.55 ) }.
% 18.19/18.55 (288) {G3,W12,D2,L3,V4,M3} R(213,2) { coll( X, Y, X ), ! coll( X, Z, Y ), !
% 18.19/18.55 coll( X, Z, T ) }.
% 18.19/18.55 (305) {G4,W8,D2,L2,V3,M2} F(288) { coll( X, Y, X ), ! coll( X, Z, Y ) }.
% 18.19/18.55 (325) {G1,W10,D2,L2,V2,M2} R(9,127) { ! para( skol23, skol24, X, Y ), !
% 18.19/18.55 perp( X, Y, skol22, skol20 ) }.
% 18.19/18.55 (361) {G1,W10,D2,L2,V4,M2} R(14,13) { ! cyclic( X, Y, Z, T ), cyclic( X, Z
% 18.19/18.55 , T, Y ) }.
% 18.19/18.55 (369) {G1,W10,D2,L2,V4,M2} R(15,14) { cyclic( X, Y, Z, T ), ! cyclic( Y, Z
% 18.19/18.55 , X, T ) }.
% 18.19/18.55 (371) {G1,W10,D2,L2,V4,M2} R(15,13) { cyclic( X, Y, Z, T ), ! cyclic( Y, X
% 18.19/18.55 , T, Z ) }.
% 18.19/18.55 (389) {G1,W15,D2,L3,V5,M3} R(16,15) { ! cyclic( X, Y, Z, T ), ! cyclic( X,
% 18.19/18.55 Y, Z, U ), cyclic( Z, Y, T, U ) }.
% 18.19/18.55 (394) {G1,W15,D2,L3,V5,M3} R(16,13) { ! cyclic( X, Y, Z, T ), cyclic( Y, Z
% 18.19/18.55 , T, U ), ! cyclic( X, Y, U, Z ) }.
% 18.19/18.55 (398) {G2,W10,D2,L2,V4,M2} F(389) { ! cyclic( X, Y, Z, T ), cyclic( Z, Y, T
% 18.19/18.55 , T ) }.
% 18.19/18.55 (577) {G5,W8,D2,L2,V3,M2} R(305,1) { ! coll( X, Y, Z ), coll( Z, X, X ) }.
% 18.19/18.55 (582) {G6,W8,D2,L2,V3,M2} R(577,1) { coll( X, Y, Y ), ! coll( Z, Y, X ) }.
% 18.19/18.55 (583) {G6,W8,D2,L2,V3,M2} R(577,0) { coll( X, Y, Y ), ! coll( Y, X, Z ) }.
% 18.19/18.55 (587) {G7,W8,D2,L2,V3,M2} R(583,583) { ! coll( X, Y, Z ), coll( X, Y, Y )
% 18.19/18.55 }.
% 18.19/18.55 (590) {G8,W12,D2,L3,V4,M3} R(587,2) { ! coll( X, Y, Z ), ! coll( X, Y, T )
% 18.19/18.55 , coll( T, Y, X ) }.
% 18.19/18.55 (591) {G9,W8,D2,L2,V3,M2} F(590) { ! coll( X, Y, Z ), coll( Z, Y, X ) }.
% 18.19/18.55 (597) {G10,W8,D2,L2,V3,M2} R(591,582) { coll( X, X, Y ), ! coll( Z, X, Y )
% 18.19/18.55 }.
% 18.19/18.55 (715) {G1,W14,D2,L2,V6,M2} R(39,18) { ! para( X, Y, Z, T ), eqangle( U, W,
% 18.19/18.55 X, Y, U, W, Z, T ) }.
% 18.19/18.55 (842) {G1,W18,D2,L3,V4,M3} R(42,19) { ! coll( X, Y, Z ), cyclic( T, Z, X, Y
% 18.19/18.55 ), ! eqangle( Y, T, Y, Z, X, T, X, Z ) }.
% 18.19/18.55 (933) {G1,W20,D2,L4,V4,M4} R(43,40);f { ! cyclic( X, Y, Z, X ), ! cyclic( X
% 18.19/18.55 , Y, Z, Y ), ! cyclic( X, Y, Z, T ), cong( X, Y, X, Y ) }.
% 18.19/18.55 (965) {G2,W15,D2,L3,V3,M3} F(933) { ! cyclic( X, Y, Z, X ), ! cyclic( X, Y
% 18.19/18.55 , Z, Y ), cong( X, Y, X, Y ) }.
% 18.19/18.55 (4329) {G11,W8,D2,L2,V3,M2} R(97,597) { ! alpha1( X, Y, Z ), coll( Z, Z, X
% 18.19/18.55 ) }.
% 18.19/18.55 (4828) {G1,W7,D3,L1,V0,M1} R(100,117) { perp( skol12( skol25, skol28 ),
% 18.19/18.55 skol25, skol25, skol28 ) }.
% 18.19/18.55 (7365) {G2,W7,D3,L1,V0,M1} R(4828,7) { perp( skol25, skol28, skol12( skol25
% 18.19/18.55 , skol28 ), skol25 ) }.
% 18.19/18.55 (7380) {G3,W7,D3,L1,V0,M1} R(7365,6) { perp( skol25, skol28, skol25, skol12
% 18.19/18.55 ( skol25, skol28 ) ) }.
% 18.19/18.55 (7390) {G4,W7,D3,L1,V0,M1} R(7380,7) { perp( skol25, skol12( skol25, skol28
% 18.19/18.55 ), skol25, skol28 ) }.
% 18.19/18.55 (7421) {G5,W4,D2,L1,V0,M1} R(7390,96);r(7390) { alpha1( skol25, skol25,
% 18.19/18.55 skol28 ) }.
% 18.19/18.55 (7429) {G5,W7,D3,L1,V0,M1} R(7390,6) { perp( skol25, skol12( skol25, skol28
% 18.19/18.55 ), skol28, skol25 ) }.
% 18.19/18.55 (7434) {G12,W4,D2,L1,V0,M1} R(7421,4329) { coll( skol28, skol28, skol25 )
% 18.19/18.55 }.
% 18.19/18.55 (7665) {G6,W7,D3,L1,V0,M1} R(7429,7) { perp( skol28, skol25, skol25, skol12
% 18.19/18.55 ( skol25, skol28 ) ) }.
% 18.19/18.55 (7679) {G7,W7,D3,L1,V0,M1} R(7665,6) { perp( skol28, skol25, skol12( skol25
% 18.19/18.55 , skol28 ), skol25 ) }.
% 18.19/18.55 (18636) {G8,W5,D2,L1,V0,M1} R(273,7679) { para( skol28, skol25, skol28,
% 18.19/18.55 skol25 ) }.
% 18.19/18.55 (47657) {G9,W9,D2,L1,V2,M1} R(715,18636) { eqangle( X, Y, skol28, skol25, X
% 18.19/18.55 , Y, skol28, skol25 ) }.
% 18.19/18.55 (53462) {G13,W5,D2,L1,V1,M1} R(842,7434);r(47657) { cyclic( X, skol25,
% 18.19/18.55 skol28, skol28 ) }.
% 18.19/18.55 (53560) {G14,W5,D2,L1,V1,M1} R(53462,371) { cyclic( skol25, X, skol28,
% 18.19/18.55 skol28 ) }.
% 18.19/18.55 (53572) {G15,W5,D2,L1,V1,M1} R(53560,398) { cyclic( skol28, X, skol28,
% 18.19/18.55 skol28 ) }.
% 18.19/18.55 (53594) {G16,W5,D2,L1,V1,M1} R(53572,369) { cyclic( skol28, skol28, X,
% 18.19/18.55 skol28 ) }.
% 18.19/18.55 (53595) {G16,W5,D2,L1,V1,M1} R(53572,361) { cyclic( skol28, skol28, skol28
% 18.19/18.55 , X ) }.
% 18.19/18.55 (53600) {G17,W5,D2,L1,V2,M1} R(53594,394);r(53595) { cyclic( skol28, skol28
% 18.19/18.55 , X, Y ) }.
% 18.19/18.55 (53639) {G18,W5,D2,L1,V3,M1} R(53600,394);r(53600) { cyclic( skol28, X, Y,
% 18.19/18.55 Z ) }.
% 18.19/18.55 (53658) {G19,W5,D2,L1,V4,M1} R(53639,394);r(53639) { cyclic( X, Y, Z, T )
% 18.19/18.55 }.
% 18.19/18.55 (60021) {G20,W5,D2,L1,V2,M1} S(965);r(53658);r(53658) { cong( X, Y, X, Y )
% 18.19/18.55 }.
% 18.19/18.55 (60038) {G21,W5,D2,L1,V3,M1} R(60021,56);r(60021) { perp( X, X, Z, Y ) }.
% 18.19/18.55 (60067) {G22,W5,D2,L1,V4,M1} R(60038,264);r(60038) { para( X, Y, Z, T ) }.
% 18.19/18.55 (60089) {G23,W5,D2,L1,V4,M1} R(60038,9);r(60067) { perp( X, Y, T, U ) }.
% 18.19/18.55 (60259) {G24,W0,D0,L0,V0,M0} R(60067,325);r(60089) { }.
% 18.19/18.55
% 18.19/18.55
% 18.19/18.55 % SZS output end Refutation
% 18.19/18.55 found a proof!
% 18.19/18.55
% 18.19/18.55
% 18.19/18.55 Unprocessed initial clauses:
% 18.19/18.55
% 18.19/18.55 (60261) {G0,W8,D2,L2,V3,M2} { ! coll( X, Y, Z ), coll( X, Z, Y ) }.
% 18.19/18.55 (60262) {G0,W8,D2,L2,V3,M2} { ! coll( X, Y, Z ), coll( Y, X, Z ) }.
% 18.19/18.55 (60263) {G0,W12,D2,L3,V4,M3} { ! coll( X, T, Y ), ! coll( X, T, Z ), coll
% 18.19/18.55 ( Y, Z, X ) }.
% 18.19/18.55 (60264) {G0,W10,D2,L2,V4,M2} { ! para( X, Y, Z, T ), para( X, Y, T, Z )
% 18.19/18.55 }.
% 18.19/18.55 (60265) {G0,W10,D2,L2,V4,M2} { ! para( X, Y, Z, T ), para( Z, T, X, Y )
% 18.19/18.55 }.
% 18.19/18.55 (60266) {G0,W15,D2,L3,V6,M3} { ! para( X, Y, U, W ), ! para( U, W, Z, T )
% 18.19/18.55 , para( X, Y, Z, T ) }.
% 18.19/18.55 (60267) {G0,W10,D2,L2,V4,M2} { ! perp( X, Y, Z, T ), perp( X, Y, T, Z )
% 18.19/18.55 }.
% 18.19/18.55 (60268) {G0,W10,D2,L2,V4,M2} { ! perp( X, Y, Z, T ), perp( Z, T, X, Y )
% 18.19/18.55 }.
% 18.19/18.55 (60269) {G0,W15,D2,L3,V6,M3} { ! perp( X, Y, U, W ), ! perp( U, W, Z, T )
% 18.19/18.55 , para( X, Y, Z, T ) }.
% 18.19/18.55 (60270) {G0,W15,D2,L3,V6,M3} { ! para( X, Y, U, W ), ! perp( U, W, Z, T )
% 18.19/18.55 , perp( X, Y, Z, T ) }.
% 18.19/18.55 (60271) {G0,W8,D2,L2,V3,M2} { ! midp( Z, Y, X ), midp( Z, X, Y ) }.
% 18.19/18.55 (60272) {G0,W15,D2,L3,V4,M3} { ! cong( T, X, T, Y ), ! cong( T, X, T, Z )
% 18.19/18.55 , circle( T, X, Y, Z ) }.
% 18.19/18.55 (60273) {G0,W20,D2,L4,V5,M4} { ! cong( U, X, U, Y ), ! cong( U, X, U, Z )
% 18.19/18.55 , ! cong( U, X, U, T ), cyclic( X, Y, Z, T ) }.
% 18.19/18.55 (60274) {G0,W10,D2,L2,V4,M2} { ! cyclic( X, Y, Z, T ), cyclic( X, Y, T, Z
% 18.19/18.55 ) }.
% 18.19/18.55 (60275) {G0,W10,D2,L2,V4,M2} { ! cyclic( X, Y, Z, T ), cyclic( X, Z, Y, T
% 18.19/18.55 ) }.
% 18.19/18.55 (60276) {G0,W10,D2,L2,V4,M2} { ! cyclic( X, Y, Z, T ), cyclic( Y, X, Z, T
% 18.19/18.55 ) }.
% 18.19/18.55 (60277) {G0,W15,D2,L3,V5,M3} { ! cyclic( U, X, Y, Z ), ! cyclic( U, X, Y,
% 18.19/18.55 T ), cyclic( X, Y, Z, T ) }.
% 18.19/18.55 (60278) {G0,W18,D2,L2,V8,M2} { ! eqangle( X, Y, Z, T, U, W, V0, V1 ),
% 18.19/18.55 eqangle( Y, X, Z, T, U, W, V0, V1 ) }.
% 18.19/18.55 (60279) {G0,W18,D2,L2,V8,M2} { ! eqangle( X, Y, Z, T, U, W, V0, V1 ),
% 18.19/18.55 eqangle( Z, T, X, Y, V0, V1, U, W ) }.
% 18.19/18.55 (60280) {G0,W18,D2,L2,V8,M2} { ! eqangle( X, Y, Z, T, U, W, V0, V1 ),
% 18.19/18.55 eqangle( U, W, V0, V1, X, Y, Z, T ) }.
% 18.19/18.55 (60281) {G0,W18,D2,L2,V8,M2} { ! eqangle( X, Y, Z, T, U, W, V0, V1 ),
% 18.19/18.55 eqangle( X, Y, U, W, Z, T, V0, V1 ) }.
% 18.19/18.55 (60282) {G0,W27,D2,L3,V12,M3} { ! eqangle( X, Y, Z, T, V2, V3, V4, V5 ), !
% 18.19/18.55 eqangle( V2, V3, V4, V5, U, W, V0, V1 ), eqangle( X, Y, Z, T, U, W, V0,
% 18.19/18.55 V1 ) }.
% 18.19/18.55 (60283) {G0,W10,D2,L2,V4,M2} { ! cong( X, Y, Z, T ), cong( X, Y, T, Z )
% 18.19/18.55 }.
% 18.19/18.55 (60284) {G0,W10,D2,L2,V4,M2} { ! cong( X, Y, Z, T ), cong( Z, T, X, Y )
% 18.19/18.55 }.
% 18.19/18.55 (60285) {G0,W15,D2,L3,V6,M3} { ! cong( X, Y, U, W ), ! cong( U, W, Z, T )
% 18.19/18.55 , cong( X, Y, Z, T ) }.
% 18.19/18.55 (60286) {G0,W18,D2,L2,V8,M2} { ! eqratio( X, Y, Z, T, U, W, V0, V1 ),
% 18.19/18.55 eqratio( Y, X, Z, T, U, W, V0, V1 ) }.
% 18.19/18.55 (60287) {G0,W18,D2,L2,V8,M2} { ! eqratio( X, Y, Z, T, U, W, V0, V1 ),
% 18.19/18.55 eqratio( Z, T, X, Y, V0, V1, U, W ) }.
% 18.19/18.55 (60288) {G0,W18,D2,L2,V8,M2} { ! eqratio( X, Y, Z, T, U, W, V0, V1 ),
% 18.19/18.55 eqratio( U, W, V0, V1, X, Y, Z, T ) }.
% 18.19/18.55 (60289) {G0,W18,D2,L2,V8,M2} { ! eqratio( X, Y, Z, T, U, W, V0, V1 ),
% 18.19/18.55 eqratio( X, Y, U, W, Z, T, V0, V1 ) }.
% 18.19/18.55 (60290) {G0,W27,D2,L3,V12,M3} { ! eqratio( X, Y, Z, T, V2, V3, V4, V5 ), !
% 18.19/18.55 eqratio( V2, V3, V4, V5, U, W, V0, V1 ), eqratio( X, Y, Z, T, U, W, V0,
% 18.19/18.55 V1 ) }.
% 18.19/18.55 (60291) {G0,W14,D2,L2,V6,M2} { ! simtri( X, Z, Y, T, W, U ), simtri( X, Y
% 18.19/18.55 , Z, T, U, W ) }.
% 18.19/18.55 (60292) {G0,W14,D2,L2,V6,M2} { ! simtri( Y, X, Z, U, T, W ), simtri( X, Y
% 18.19/18.55 , Z, T, U, W ) }.
% 18.19/18.55 (60293) {G0,W14,D2,L2,V6,M2} { ! simtri( T, U, W, X, Y, Z ), simtri( X, Y
% 18.19/18.55 , Z, T, U, W ) }.
% 18.19/18.55 (60294) {G0,W21,D2,L3,V9,M3} { ! simtri( X, Y, Z, V0, V1, V2 ), ! simtri(
% 18.19/18.55 V0, V1, V2, T, U, W ), simtri( X, Y, Z, T, U, W ) }.
% 18.19/18.55 (60295) {G0,W14,D2,L2,V6,M2} { ! contri( X, Z, Y, T, W, U ), contri( X, Y
% 18.19/18.55 , Z, T, U, W ) }.
% 18.19/18.55 (60296) {G0,W14,D2,L2,V6,M2} { ! contri( Y, X, Z, U, T, W ), contri( X, Y
% 18.19/18.55 , Z, T, U, W ) }.
% 18.19/18.55 (60297) {G0,W14,D2,L2,V6,M2} { ! contri( T, U, W, X, Y, Z ), contri( X, Y
% 18.19/18.55 , Z, T, U, W ) }.
% 18.19/18.55 (60298) {G0,W21,D2,L3,V9,M3} { ! contri( X, Y, Z, V0, V1, V2 ), ! contri(
% 18.19/18.55 V0, V1, V2, T, U, W ), contri( X, Y, Z, T, U, W ) }.
% 18.19/18.55 (60299) {G0,W14,D2,L2,V6,M2} { ! eqangle( X, Y, U, W, Z, T, U, W ), para(
% 18.19/18.55 X, Y, Z, T ) }.
% 18.19/18.55 (60300) {G0,W14,D2,L2,V6,M2} { ! para( X, Y, Z, T ), eqangle( X, Y, U, W,
% 18.19/18.55 Z, T, U, W ) }.
% 18.19/18.55 (60301) {G0,W14,D2,L2,V4,M2} { ! cyclic( X, Y, Z, T ), eqangle( Z, X, Z, Y
% 18.19/18.55 , T, X, T, Y ) }.
% 18.19/18.55 (60302) {G0,W18,D2,L3,V4,M3} { ! eqangle( Z, X, Z, Y, T, X, T, Y ), coll(
% 18.19/18.55 Z, T, X ), cyclic( X, Y, Z, T ) }.
% 18.19/18.55 (60303) {G0,W18,D2,L3,V4,M3} { ! eqangle( Z, X, Z, Y, T, X, T, Y ), ! coll
% 18.19/18.55 ( Z, T, Y ), cyclic( X, Y, Z, T ) }.
% 18.19/18.55 (60304) {G0,W29,D2,L5,V6,M5} { ! cyclic( X, Y, U, Z ), ! cyclic( X, Y, U,
% 18.19/18.55 T ), ! cyclic( X, Y, U, W ), ! eqangle( U, X, U, Y, W, Z, W, T ), cong( X
% 18.19/18.55 , Y, Z, T ) }.
% 18.19/18.55 (60305) {G0,W13,D2,L3,V5,M3} { ! midp( Z, U, X ), ! midp( T, U, Y ), para
% 18.19/18.55 ( Z, T, X, Y ) }.
% 18.19/18.55 (60306) {G0,W17,D2,L4,V5,M4} { ! midp( U, X, T ), ! para( U, Z, T, Y ), !
% 18.19/18.55 coll( Z, X, Y ), midp( Z, X, Y ) }.
% 18.19/18.55 (60307) {G0,W14,D2,L2,V3,M2} { ! cong( Z, X, Z, Y ), eqangle( Z, X, X, Y,
% 18.19/18.55 X, Y, Z, Y ) }.
% 18.19/18.55 (60308) {G0,W18,D2,L3,V3,M3} { ! eqangle( Z, X, X, Y, X, Y, Z, Y ), coll(
% 18.19/18.55 Z, X, Y ), cong( Z, X, Z, Y ) }.
% 18.19/18.55 (60309) {G0,W19,D2,L3,V5,M3} { ! circle( U, X, Y, Z ), ! perp( U, X, X, T
% 18.19/18.55 ), eqangle( X, T, X, Y, Z, X, Z, Y ) }.
% 18.19/18.55 (60310) {G0,W19,D2,L3,V5,M3} { ! circle( Y, X, T, U ), ! eqangle( X, Z, X
% 18.19/18.55 , T, U, X, U, T ), perp( Y, X, X, Z ) }.
% 18.19/18.55 (60311) {G0,W18,D2,L3,V5,M3} { ! circle( T, X, Y, Z ), ! midp( U, Y, Z ),
% 18.19/18.55 eqangle( X, Y, X, Z, T, Y, T, U ) }.
% 18.19/18.55 (60312) {G0,W22,D2,L4,V5,M4} { ! circle( U, T, X, Y ), ! coll( Z, X, Y ),
% 18.19/18.55 ! eqangle( T, X, T, Y, U, X, U, Z ), midp( Z, X, Y ) }.
% 18.19/18.55 (60313) {G0,W14,D2,L3,V4,M3} { ! perp( X, Y, Y, T ), ! midp( Z, X, T ),
% 18.19/18.55 cong( X, Z, Y, Z ) }.
% 18.19/18.55 (60314) {G0,W14,D2,L3,V4,M3} { ! circle( T, X, Y, Z ), ! coll( T, X, Z ),
% 18.19/18.55 perp( X, Y, Y, Z ) }.
% 18.19/18.55 (60315) {G0,W19,D2,L3,V4,M3} { ! cyclic( X, Y, Z, T ), ! para( X, Y, Z, T
% 18.19/18.55 ), eqangle( X, T, Z, T, Z, T, Z, Y ) }.
% 18.19/18.55 (60316) {G0,W14,D2,L3,V4,M3} { ! midp( T, X, Y ), ! perp( Z, T, X, Y ),
% 18.19/18.55 cong( Z, X, Z, Y ) }.
% 18.19/18.55 (60317) {G0,W15,D2,L3,V4,M3} { ! cong( X, Z, Y, Z ), ! cong( X, T, Y, T )
% 18.19/18.55 , perp( X, Y, Z, T ) }.
% 18.19/18.55 (60318) {G0,W20,D2,L4,V4,M4} { ! cong( X, Y, T, Y ), ! cong( X, Z, T, Z )
% 18.19/18.55 , ! cyclic( X, T, Y, Z ), perp( Y, X, X, Z ) }.
% 18.19/18.55 (60319) {G0,W29,D2,L4,V6,M4} { ! eqangle( X, Y, Y, Z, T, U, U, W ), !
% 18.19/18.55 eqangle( X, Z, Y, Z, T, W, U, W ), coll( X, Y, Z ), simtri( X, Y, Z, T, U
% 18.19/18.55 , W ) }.
% 18.19/18.55 (60320) {G0,W16,D2,L2,V6,M2} { ! simtri( X, Y, Z, T, U, W ), eqratio( X, Y
% 18.19/18.55 , X, Z, T, U, T, W ) }.
% 18.19/18.55 (60321) {G0,W16,D2,L2,V6,M2} { ! simtri( X, Y, Z, T, U, W ), eqangle( X, Y
% 18.19/18.55 , Y, Z, T, U, U, W ) }.
% 18.19/18.55 (60322) {G0,W19,D2,L3,V6,M3} { ! simtri( X, Y, Z, T, U, W ), ! cong( X, Y
% 18.19/18.55 , T, U ), contri( X, Y, Z, T, U, W ) }.
% 18.19/18.55 (60323) {G0,W12,D2,L2,V6,M2} { ! contri( X, Y, U, Z, T, W ), cong( X, Y, Z
% 18.19/18.55 , T ) }.
% 18.19/18.55 (60324) {G0,W13,D2,L3,V5,M3} { ! midp( U, X, Y ), ! midp( U, Z, T ), para
% 18.19/18.55 ( X, Z, Y, T ) }.
% 18.19/18.55 (60325) {G0,W18,D2,L4,V5,M4} { ! midp( Z, T, U ), ! para( T, X, U, Y ), !
% 18.19/18.55 para( T, Y, U, X ), midp( Z, X, Y ) }.
% 18.19/18.55 (60326) {G0,W22,D2,L4,V5,M4} { ! para( X, Y, Z, T ), ! coll( U, X, Z ), !
% 18.19/18.55 coll( U, Y, T ), eqratio( U, X, X, Z, U, Y, Y, T ) }.
% 18.19/18.55 (60327) {G0,W9,D2,L2,V3,M2} { ! para( X, Y, X, Z ), coll( X, Y, Z ) }.
% 18.19/18.55 (60328) {G0,W13,D2,L3,V3,M3} { ! cong( X, Y, X, Z ), ! coll( X, Y, Z ),
% 18.19/18.55 midp( X, Y, Z ) }.
% 18.19/18.55 (60329) {G0,W9,D2,L2,V3,M2} { ! midp( X, Y, Z ), cong( X, Y, X, Z ) }.
% 18.19/18.55 (60330) {G0,W8,D2,L2,V3,M2} { ! midp( X, Y, Z ), coll( X, Y, Z ) }.
% 18.19/18.55 (60331) {G0,W17,D2,L3,V6,M3} { ! midp( U, X, Y ), ! midp( W, Z, T ),
% 18.19/18.55 eqratio( U, X, X, Y, W, Z, Z, T ) }.
% 18.19/18.55 (60332) {G0,W19,D2,L3,V4,M3} { ! eqangle( X, Y, Z, T, Z, T, X, Y ), para(
% 18.19/18.55 X, Y, Z, T ), perp( X, Y, Z, T ) }.
% 18.19/18.55 (60333) {G0,W19,D2,L3,V4,M3} { ! eqangle( X, Y, Z, T, Z, T, X, Y ), perp(
% 18.19/18.55 X, Y, Z, T ), para( X, Y, Z, T ) }.
% 18.19/18.55 (60334) {G0,W19,D2,L3,V8,M3} { ! eqangle( X, Y, Z, T, U, W, V0, V1 ), !
% 18.19/18.55 para( U, W, V0, V1 ), para( X, Y, Z, T ) }.
% 18.19/18.55 (60335) {G0,W19,D2,L3,V8,M3} { ! eqangle( X, Y, Z, T, U, W, V0, V1 ), !
% 18.19/18.55 perp( U, W, V0, V1 ), perp( X, Y, Z, T ) }.
% 18.19/18.55 (60336) {G0,W19,D2,L3,V8,M3} { ! eqratio( X, Y, Z, T, U, W, V0, V1 ), !
% 18.19/18.55 cong( U, W, V0, V1 ), cong( X, Y, Z, T ) }.
% 18.19/18.55 (60337) {G0,W22,D3,L3,V6,M3} { ! perp( Z, Y, Y, X ), ! eqangle( T, Z, Y, Z
% 18.19/18.55 , Y, Z, X, Z ), coll( skol1( U, W, Z, T ), Z, T ) }.
% 18.19/18.55 (60338) {G0,W22,D3,L3,V4,M3} { ! perp( Z, Y, Y, X ), ! eqangle( T, Z, Y, Z
% 18.19/18.55 , Y, Z, X, Z ), coll( skol1( X, Y, Z, T ), X, Y ) }.
% 18.19/18.55 (60339) {G0,W22,D3,L3,V6,M3} { ! cong( Z, X, Z, Y ), ! eqangle( X, Z, Z, T
% 18.19/18.55 , Z, T, Z, Y ), coll( skol2( U, W, Z, T ), Z, T ) }.
% 18.19/18.55 (60340) {G0,W22,D3,L3,V4,M3} { ! cong( Z, X, Z, Y ), ! eqangle( X, Z, Z, T
% 18.19/18.55 , Z, T, Z, Y ), coll( Y, X, skol2( X, Y, Z, T ) ) }.
% 18.19/18.55 (60341) {G0,W22,D3,L3,V6,M3} { ! perp( Z, T, X, Y ), ! eqangle( X, Z, Z, T
% 18.19/18.55 , Z, T, Z, Y ), coll( skol3( U, W, Z, T ), Z, T ) }.
% 18.19/18.55 (60342) {G0,W22,D3,L3,V4,M3} { ! perp( Z, T, X, Y ), ! eqangle( X, Z, Z, T
% 18.19/18.55 , Z, T, Z, Y ), coll( Y, X, skol3( X, Y, Z, T ) ) }.
% 18.19/18.55 (60343) {G0,W18,D3,L3,V6,M3} { ! perp( Z, T, X, Y ), ! cong( Z, X, Z, Y )
% 18.19/18.55 , coll( skol4( U, W, Z, T ), Z, T ) }.
% 18.19/18.55 (60344) {G0,W18,D3,L3,V4,M3} { ! perp( Z, T, X, Y ), ! cong( Z, X, Z, Y )
% 18.19/18.55 , coll( Y, X, skol4( X, Y, Z, T ) ) }.
% 18.19/18.55 (60345) {G0,W22,D3,L3,V6,M3} { ! eqangle( X, Z, Y, Z, X, T, Y, U ), coll(
% 18.19/18.55 X, Y, Z ), cyclic( T, Y, Z, skol5( W, Y, Z, T ) ) }.
% 18.19/18.55 (60346) {G0,W30,D3,L3,V5,M3} { ! eqangle( X, Z, Y, Z, X, T, Y, U ), coll(
% 18.19/18.55 X, Y, Z ), eqangle( X, Z, Y, Z, X, skol5( X, Y, Z, T ), Y, skol5( X, Y, Z
% 18.19/18.55 , T ) ) }.
% 18.19/18.55 (60347) {G0,W18,D3,L3,V10,M3} { ! midp( U, X, Y ), ! midp( W, Z, T ), midp
% 18.19/18.55 ( skol6( X, V0, V1, T, V2, V3 ), X, T ) }.
% 18.19/18.55 (60348) {G0,W19,D3,L3,V8,M3} { ! midp( U, X, Y ), ! midp( W, Z, T ), para
% 18.19/18.55 ( skol6( X, V0, Z, T, V1, W ), W, X, Z ) }.
% 18.19/18.55 (60349) {G0,W19,D3,L3,V6,M3} { ! midp( U, X, Y ), ! midp( W, Z, T ), para
% 18.19/18.55 ( skol6( X, Y, Z, T, U, W ), U, Y, T ) }.
% 18.19/18.55 (60350) {G0,W22,D3,L5,V7,M5} { ! midp( Z, X, Y ), ! midp( W, T, U ), !
% 18.19/18.55 coll( T, X, Y ), ! coll( U, X, Y ), midp( skol7( X, V0 ), X, V0 ) }.
% 18.19/18.55 (60351) {G0,W26,D3,L5,V8,M5} { ! midp( T, X, U ), ! para( X, W, Z, T ), !
% 18.19/18.55 para( X, W, U, Y ), ! coll( W, Y, Z ), coll( skol8( V0, V1, Z, T ), T, Z
% 18.19/18.55 ) }.
% 18.19/18.55 (60352) {G0,W26,D3,L5,V6,M5} { ! midp( T, X, U ), ! para( X, W, Z, T ), !
% 18.19/18.55 para( X, W, U, Y ), ! coll( W, Y, Z ), coll( skol8( X, Y, Z, T ), X, Y )
% 18.19/18.55 }.
% 18.19/18.55 (60353) {G0,W19,D3,L3,V7,M3} { ! cong( T, Z, T, U ), ! perp( X, Y, Y, T )
% 18.19/18.55 , cong( T, Z, T, skol9( W, V0, Z, T ) ) }.
% 18.19/18.55 (60354) {G0,W19,D3,L3,V6,M3} { ! cong( T, Z, T, U ), ! perp( X, Y, Y, T )
% 18.19/18.55 , cong( Y, Z, Y, skol9( W, Y, Z, T ) ) }.
% 18.19/18.55 (60355) {G0,W19,D3,L3,V5,M3} { ! cong( T, Z, T, U ), ! perp( X, Y, Y, T )
% 18.19/18.55 , para( skol9( X, Y, Z, T ), Z, X, Y ) }.
% 18.19/18.55 (60356) {G0,W17,D3,L3,V5,M3} { ! perp( X, T, Y, Z ), ! perp( Y, T, X, Z )
% 18.19/18.55 , coll( skol10( U, Y, Z ), Z, Y ) }.
% 18.19/18.55 (60357) {G0,W18,D3,L3,V4,M3} { ! perp( X, T, Y, Z ), ! perp( Y, T, X, Z )
% 18.19/18.55 , perp( X, skol10( X, Y, Z ), Z, Y ) }.
% 18.19/18.55 (60358) {G0,W14,D2,L3,V4,M3} { ! perp( X, T, Y, Z ), ! perp( Y, T, X, Z )
% 18.19/18.55 , alpha1( X, Y, Z ) }.
% 18.19/18.55 (60359) {G0,W11,D3,L2,V4,M2} { ! alpha1( X, Y, Z ), coll( skol11( X, T, Z
% 18.19/18.55 ), Z, X ) }.
% 18.19/18.55 (60360) {G0,W12,D3,L2,V3,M2} { ! alpha1( X, Y, Z ), perp( Y, skol11( X, Y
% 18.19/18.55 , Z ), Z, X ) }.
% 18.19/18.55 (60361) {G0,W13,D2,L3,V4,M3} { ! coll( T, Z, X ), ! perp( Y, T, Z, X ),
% 18.19/18.55 alpha1( X, Y, Z ) }.
% 18.19/18.55 (60362) {G0,W12,D3,L2,V4,M2} { ! circle( Y, X, Z, T ), perp( skol12( X, Y
% 18.19/18.55 ), X, X, Y ) }.
% 18.19/18.55 (60363) {G0,W28,D3,L5,V8,M5} { ! circle( W, X, Y, Z ), ! cong( W, X, W, T
% 18.19/18.55 ), ! cong( U, X, U, Y ), W = U, alpha2( X, Z, U, skol13( X, V0, Z, V1, U
% 18.19/18.55 ) ) }.
% 18.19/18.55 (60364) {G0,W26,D3,L5,V8,M5} { ! circle( W, X, Y, Z ), ! cong( W, X, W, T
% 18.19/18.55 ), ! cong( U, X, U, Y ), W = U, coll( skol21( V0, Y, T, V1 ), Y, T ) }.
% 18.19/18.55 (60365) {G0,W27,D3,L5,V6,M5} { ! circle( W, X, Y, Z ), ! cong( W, X, W, T
% 18.19/18.55 ), ! cong( U, X, U, Y ), W = U, cong( skol21( X, Y, T, U ), U, U, X )
% 18.19/18.55 }.
% 18.19/18.55 (60366) {G0,W9,D2,L2,V4,M2} { ! alpha2( X, Y, Z, T ), coll( T, X, Y ) }.
% 18.19/18.55 (60367) {G0,W10,D2,L2,V4,M2} { ! alpha2( X, Y, Z, T ), cong( T, Z, Z, X )
% 18.19/18.55 }.
% 18.19/18.55 (60368) {G0,W14,D2,L3,V4,M3} { ! coll( T, X, Y ), ! cong( T, Z, Z, X ),
% 18.19/18.55 alpha2( X, Y, Z, T ) }.
% 18.19/18.55 (60369) {G0,W22,D3,L4,V5,M4} { ! cyclic( X, Y, Z, T ), ! para( X, Y, Z, T
% 18.19/18.55 ), ! midp( U, X, Y ), circle( skol14( X, Y, Z ), X, Y, Z ) }.
% 18.19/18.55 (60370) {G0,W18,D3,L3,V4,M3} { ! perp( X, Z, Z, Y ), ! cyclic( X, Y, Z, T
% 18.19/18.55 ), circle( skol15( X, Y, Z ), X, Y, Z ) }.
% 18.19/18.55 (60371) {G0,W16,D3,L3,V6,M3} { ! perp( X, U, U, T ), ! coll( T, Y, Z ),
% 18.19/18.55 coll( skol16( W, Y, Z ), Y, Z ) }.
% 18.19/18.55 (60372) {G0,W17,D3,L3,V5,M3} { ! perp( X, U, U, T ), ! coll( T, Y, Z ),
% 18.19/18.55 perp( skol16( X, Y, Z ), X, Y, Z ) }.
% 18.19/18.55 (60373) {G0,W20,D3,L4,V5,M4} { ! perp( X, Z, X, Y ), ! perp( Y, X, Y, T )
% 18.19/18.55 , ! midp( U, Z, T ), midp( skol17( X, Y ), X, Y ) }.
% 18.19/18.55 (60374) {G0,W16,D3,L3,V3,M3} { ! cong( Y, X, Y, Z ), ! perp( X, Y, Y, Z )
% 18.19/18.55 , coll( X, Y, skol18( X, Y ) ) }.
% 18.19/18.55 (60375) {G0,W17,D3,L3,V3,M3} { ! cong( Y, X, Y, Z ), ! perp( X, Y, Y, Z )
% 18.19/18.55 , cong( Y, X, Y, skol18( X, Y ) ) }.
% 18.19/18.55 (60376) {G0,W25,D3,L5,V8,M5} { ! para( U, W, X, Y ), ! coll( Z, U, X ), !
% 18.19/18.55 coll( Z, W, Y ), ! coll( T, U, W ), coll( Z, T, skol19( V0, V1, Z, T ) )
% 18.19/18.55 }.
% 18.19/18.55 (60377) {G0,W25,D3,L5,V6,M5} { ! para( U, W, X, Y ), ! coll( Z, U, X ), !
% 18.19/18.55 coll( Z, W, Y ), ! coll( T, U, W ), coll( skol19( X, Y, Z, T ), X, Y )
% 18.19/18.55 }.
% 18.19/18.55 (60378) {G0,W5,D2,L1,V0,M1} { circle( skol20, skol25, skol26, skol27 ) }.
% 18.19/18.55 (60379) {G0,W5,D2,L1,V0,M1} { circle( skol28, skol25, skol29, skol30 ) }.
% 18.19/18.55 (60380) {G0,W5,D2,L1,V0,M1} { circle( skol20, skol25, skol31, skol32 ) }.
% 18.19/18.55 (60381) {G0,W5,D2,L1,V0,M1} { circle( skol28, skol25, skol31, skol33 ) }.
% 18.19/18.55 (60382) {G0,W4,D2,L1,V0,M1} { coll( skol34, skol28, skol20 ) }.
% 18.19/18.55 (60383) {G0,W4,D2,L1,V0,M1} { coll( skol34, skol25, skol31 ) }.
% 18.19/18.55 (60384) {G0,W5,D2,L1,V0,M1} { circle( skol20, skol25, skol22, skol35 ) }.
% 18.19/18.55 (60385) {G0,W5,D2,L1,V0,M1} { circle( skol28, skol25, skol23, skol36 ) }.
% 18.19/18.55 (60386) {G0,W4,D2,L1,V0,M1} { coll( skol23, skol25, skol22 ) }.
% 18.19/18.55 (60387) {G0,W4,D2,L1,V0,M1} { coll( skol24, skol31, skol22 ) }.
% 18.19/18.55 (60388) {G0,W5,D2,L1,V0,M1} { circle( skol28, skol25, skol24, skol37 ) }.
% 18.19/18.55 (60389) {G0,W5,D2,L1,V0,M1} { ! perp( skol23, skol24, skol22, skol20 ) }.
% 18.19/18.55
% 18.19/18.55
% 18.19/18.55 Total Proof:
% 18.19/18.55
% 18.19/18.55 subsumption: (0) {G0,W8,D2,L2,V3,M2} I { ! coll( X, Y, Z ), coll( X, Z, Y )
% 18.19/18.55 }.
% 18.19/18.55 parent0: (60261) {G0,W8,D2,L2,V3,M2} { ! coll( X, Y, Z ), coll( X, Z, Y )
% 18.19/18.55 }.
% 18.19/18.55 substitution0:
% 18.19/18.55 X := X
% 18.19/18.55 Y := Y
% 18.19/18.55 Z := Z
% 18.19/18.55 end
% 18.19/18.55 permutation0:
% 18.19/18.55 0 ==> 0
% 18.19/18.55 1 ==> 1
% 18.19/18.55 end
% 18.19/18.55
% 18.19/18.55 subsumption: (1) {G0,W8,D2,L2,V3,M2} I { ! coll( X, Y, Z ), coll( Y, X, Z )
% 18.19/18.55 }.
% 18.19/18.55 parent0: (60262) {G0,W8,D2,L2,V3,M2} { ! coll( X, Y, Z ), coll( Y, X, Z )
% 18.19/18.55 }.
% 18.19/18.55 substitution0:
% 18.19/18.55 X := X
% 18.19/18.55 Y := Y
% 18.19/18.55 Z := Z
% 18.19/18.55 end
% 18.19/18.55 permutation0:
% 18.19/18.55 0 ==> 0
% 18.19/18.55 1 ==> 1
% 18.19/18.55 end
% 18.19/18.55
% 18.19/18.55 subsumption: (2) {G0,W12,D2,L3,V4,M3} I { ! coll( X, T, Y ), ! coll( X, T,
% 18.19/18.55 Z ), coll( Y, Z, X ) }.
% 18.19/18.55 parent0: (60263) {G0,W12,D2,L3,V4,M3} { ! coll( X, T, Y ), ! coll( X, T, Z
% 18.19/18.55 ), coll( Y, Z, X ) }.
% 18.19/18.55 substitution0:
% 18.19/18.55 X := X
% 18.19/18.55 Y := Y
% 18.19/18.55 Z := Z
% 18.19/18.55 T := T
% 18.19/18.55 end
% 18.19/18.55 permutation0:
% 18.19/18.55 0 ==> 0
% 18.19/18.55 1 ==> 1
% 18.19/18.55 2 ==> 2
% 18.19/18.55 end
% 18.19/18.55
% 18.19/18.55 subsumption: (6) {G0,W10,D2,L2,V4,M2} I { ! perp( X, Y, Z, T ), perp( X, Y
% 18.19/18.55 , T, Z ) }.
% 18.19/18.55 parent0: (60267) {G0,W10,D2,L2,V4,M2} { ! perp( X, Y, Z, T ), perp( X, Y,
% 18.19/18.55 T, Z ) }.
% 18.19/18.55 substitution0:
% 18.19/18.55 X := X
% 18.19/18.55 Y := Y
% 18.19/18.55 Z := Z
% 18.19/18.55 T := T
% 18.19/18.55 end
% 18.19/18.55 permutation0:
% 18.19/18.55 0 ==> 0
% 18.19/18.55 1 ==> 1
% 18.19/18.55 end
% 18.19/18.55
% 18.19/18.55 subsumption: (7) {G0,W10,D2,L2,V4,M2} I { ! perp( X, Y, Z, T ), perp( Z, T
% 18.19/18.55 , X, Y ) }.
% 18.19/18.55 parent0: (60268) {G0,W10,D2,L2,V4,M2} { ! perp( X, Y, Z, T ), perp( Z, T,
% 18.19/18.55 X, Y ) }.
% 18.19/18.55 substitution0:
% 18.19/18.55 X := X
% 18.19/18.55 Y := Y
% 18.19/18.55 Z := Z
% 18.19/18.55 T := T
% 18.19/18.55 end
% 18.19/18.55 permutation0:
% 18.19/18.55 0 ==> 0
% 18.19/18.55 1 ==> 1
% 18.19/18.55 end
% 18.19/18.55
% 18.19/18.55 subsumption: (8) {G0,W15,D2,L3,V6,M3} I { ! perp( X, Y, U, W ), ! perp( U,
% 18.19/18.55 W, Z, T ), para( X, Y, Z, T ) }.
% 18.19/18.55 parent0: (60269) {G0,W15,D2,L3,V6,M3} { ! perp( X, Y, U, W ), ! perp( U, W
% 18.19/18.55 , Z, T ), para( X, Y, Z, T ) }.
% 18.19/18.55 substitution0:
% 18.19/18.55 X := X
% 18.19/18.55 Y := Y
% 18.19/18.55 Z := Z
% 18.19/18.55 T := T
% 18.19/18.55 U := U
% 18.19/18.55 W := W
% 18.19/18.55 end
% 18.19/18.55 permutation0:
% 18.19/18.55 0 ==> 0
% 18.19/18.55 1 ==> 1
% 18.19/18.55 2 ==> 2
% 18.19/18.55 end
% 18.19/18.55
% 18.19/18.55 subsumption: (9) {G0,W15,D2,L3,V6,M3} I { ! para( X, Y, U, W ), ! perp( U,
% 18.19/18.55 W, Z, T ), perp( X, Y, Z, T ) }.
% 18.19/18.55 parent0: (60270) {G0,W15,D2,L3,V6,M3} { ! para( X, Y, U, W ), ! perp( U, W
% 18.19/18.55 , Z, T ), perp( X, Y, Z, T ) }.
% 18.19/18.55 substitution0:
% 18.19/18.55 X := X
% 18.19/18.55 Y := Y
% 18.19/18.55 Z := Z
% 18.19/18.55 T := T
% 18.19/18.55 U := U
% 18.19/18.55 W := W
% 18.19/18.55 end
% 18.19/18.55 permutation0:
% 18.19/18.55 0 ==> 0
% 18.19/18.55 1 ==> 1
% 18.19/18.55 2 ==> 2
% 18.19/18.55 end
% 18.19/18.55
% 18.19/18.55 subsumption: (13) {G0,W10,D2,L2,V4,M2} I { ! cyclic( X, Y, Z, T ), cyclic(
% 18.19/18.55 X, Y, T, Z ) }.
% 18.19/18.55 parent0: (60274) {G0,W10,D2,L2,V4,M2} { ! cyclic( X, Y, Z, T ), cyclic( X
% 18.19/18.55 , Y, T, Z ) }.
% 18.19/18.55 substitution0:
% 18.19/18.55 X := X
% 18.19/18.55 Y := Y
% 18.19/18.55 Z := Z
% 18.19/18.55 T := T
% 18.19/18.55 end
% 18.19/18.55 permutation0:
% 18.19/18.55 0 ==> 0
% 18.19/18.55 1 ==> 1
% 18.19/18.55 end
% 18.19/18.55
% 18.19/18.55 subsumption: (14) {G0,W10,D2,L2,V4,M2} I { ! cyclic( X, Y, Z, T ), cyclic(
% 18.19/18.55 X, Z, Y, T ) }.
% 18.19/18.55 parent0: (60275) {G0,W10,D2,L2,V4,M2} { ! cyclic( X, Y, Z, T ), cyclic( X
% 18.19/18.55 , Z, Y, T ) }.
% 18.19/18.55 substitution0:
% 18.19/18.55 X := X
% 18.19/18.55 Y := Y
% 18.19/18.55 Z := Z
% 18.19/18.55 T := T
% 18.19/18.55 end
% 18.19/18.55 permutation0:
% 18.19/18.55 0 ==> 0
% 18.19/18.55 1 ==> 1
% 18.19/18.55 end
% 18.19/18.55
% 18.19/18.55 subsumption: (15) {G0,W10,D2,L2,V4,M2} I { ! cyclic( X, Y, Z, T ), cyclic(
% 18.19/18.55 Y, X, Z, T ) }.
% 18.19/18.55 parent0: (60276) {G0,W10,D2,L2,V4,M2} { ! cyclic( X, Y, Z, T ), cyclic( Y
% 18.19/18.55 , X, Z, T ) }.
% 18.19/18.55 substitution0:
% 18.19/18.55 X := X
% 18.19/18.55 Y := Y
% 18.19/18.55 Z := Z
% 18.19/18.55 T := T
% 18.19/18.55 end
% 18.19/18.55 permutation0:
% 18.19/18.55 0 ==> 0
% 18.19/18.55 1 ==> 1
% 18.19/18.55 end
% 18.19/18.55
% 18.19/18.55 subsumption: (16) {G0,W15,D2,L3,V5,M3} I { ! cyclic( U, X, Y, Z ), ! cyclic
% 18.19/18.55 ( U, X, Y, T ), cyclic( X, Y, Z, T ) }.
% 18.19/18.55 parent0: (60277) {G0,W15,D2,L3,V5,M3} { ! cyclic( U, X, Y, Z ), ! cyclic(
% 18.19/18.55 U, X, Y, T ), cyclic( X, Y, Z, T ) }.
% 18.19/18.55 substitution0:
% 18.19/18.55 X := X
% 18.19/18.55 Y := Y
% 18.19/18.55 Z := Z
% 18.19/18.55 T := T
% 18.19/18.55 U := U
% 18.19/18.55 end
% 18.19/18.55 permutation0:
% 18.19/18.55 0 ==> 0
% 18.19/18.55 1 ==> 1
% 18.19/18.55 2 ==> 2
% 18.19/18.55 end
% 18.19/18.55
% 18.19/18.55 subsumption: (18) {G0,W18,D2,L2,V8,M2} I { ! eqangle( X, Y, Z, T, U, W, V0
% 18.19/18.55 , V1 ), eqangle( Z, T, X, Y, V0, V1, U, W ) }.
% 18.19/18.55 parent0: (60279) {G0,W18,D2,L2,V8,M2} { ! eqangle( X, Y, Z, T, U, W, V0,
% 18.19/18.55 V1 ), eqangle( Z, T, X, Y, V0, V1, U, W ) }.
% 18.19/18.55 substitution0:
% 18.19/18.55 X := X
% 18.19/18.55 Y := Y
% 18.19/18.55 Z := Z
% 18.19/18.55 T := T
% 18.19/18.55 U := U
% 18.19/18.55 W := W
% 18.19/18.55 V0 := V0
% 18.19/18.55 V1 := V1
% 18.19/18.55 end
% 18.19/18.55 permutation0:
% 18.19/18.55 0 ==> 0
% 18.19/18.55 1 ==> 1
% 18.19/18.55 end
% 18.19/18.55
% 18.19/18.55 subsumption: (19) {G0,W18,D2,L2,V8,M2} I { ! eqangle( X, Y, Z, T, U, W, V0
% 18.19/18.55 , V1 ), eqangle( U, W, V0, V1, X, Y, Z, T ) }.
% 18.19/18.55 parent0: (60280) {G0,W18,D2,L2,V8,M2} { ! eqangle( X, Y, Z, T, U, W, V0,
% 18.19/18.55 V1 ), eqangle( U, W, V0, V1, X, Y, Z, T ) }.
% 18.19/18.55 substitution0:
% 18.19/18.55 X := X
% 18.19/18.55 Y := Y
% 18.19/18.55 Z := Z
% 18.19/18.55 T := T
% 18.19/18.55 U := U
% 18.19/18.55 W := W
% 18.19/18.55 V0 := V0
% 18.19/18.55 V1 := V1
% 18.19/18.55 end
% 18.19/18.55 permutation0:
% 18.19/18.55 0 ==> 0
% 18.19/18.55 1 ==> 1
% 18.19/18.55 end
% 18.19/18.55
% 18.19/18.55 subsumption: (39) {G0,W14,D2,L2,V6,M2} I { ! para( X, Y, Z, T ), eqangle( X
% 18.19/18.55 , Y, U, W, Z, T, U, W ) }.
% 18.19/18.55 parent0: (60300) {G0,W14,D2,L2,V6,M2} { ! para( X, Y, Z, T ), eqangle( X,
% 18.19/18.55 Y, U, W, Z, T, U, W ) }.
% 18.19/18.55 substitution0:
% 18.19/18.55 X := X
% 18.19/18.55 Y := Y
% 18.19/18.55 Z := Z
% 18.19/18.55 T := T
% 18.19/18.55 U := U
% 18.19/18.55 W := W
% 18.19/18.55 end
% 18.19/18.55 permutation0:
% 18.19/18.55 0 ==> 0
% 18.19/18.55 1 ==> 1
% 18.19/18.55 end
% 18.19/18.55
% 18.19/18.55 subsumption: (40) {G0,W14,D2,L2,V4,M2} I { ! cyclic( X, Y, Z, T ), eqangle
% 18.19/18.55 ( Z, X, Z, Y, T, X, T, Y ) }.
% 18.19/18.55 parent0: (60301) {G0,W14,D2,L2,V4,M2} { ! cyclic( X, Y, Z, T ), eqangle( Z
% 18.19/18.55 , X, Z, Y, T, X, T, Y ) }.
% 18.19/18.55 substitution0:
% 18.19/18.55 X := X
% 18.19/18.55 Y := Y
% 18.19/18.55 Z := Z
% 18.19/18.55 T := T
% 18.19/18.55 end
% 18.19/18.55 permutation0:
% 18.19/18.55 0 ==> 0
% 18.19/18.55 1 ==> 1
% 18.19/18.55 end
% 18.19/18.55
% 18.19/18.55 subsumption: (42) {G0,W18,D2,L3,V4,M3} I { ! eqangle( Z, X, Z, Y, T, X, T,
% 18.19/18.55 Y ), ! coll( Z, T, Y ), cyclic( X, Y, Z, T ) }.
% 18.19/18.55 parent0: (60303) {G0,W18,D2,L3,V4,M3} { ! eqangle( Z, X, Z, Y, T, X, T, Y
% 18.19/18.55 ), ! coll( Z, T, Y ), cyclic( X, Y, Z, T ) }.
% 18.19/18.55 substitution0:
% 18.19/18.55 X := X
% 18.19/18.55 Y := Y
% 18.19/18.55 Z := Z
% 18.19/18.55 T := T
% 18.19/18.55 end
% 18.19/18.55 permutation0:
% 18.19/18.55 0 ==> 0
% 18.19/18.55 1 ==> 1
% 18.19/18.55 2 ==> 2
% 18.19/18.55 end
% 18.19/18.55
% 18.19/18.55 subsumption: (43) {G0,W29,D2,L5,V6,M5} I { ! cyclic( X, Y, U, Z ), ! cyclic
% 18.19/18.55 ( X, Y, U, T ), ! cyclic( X, Y, U, W ), ! eqangle( U, X, U, Y, W, Z, W, T
% 18.19/18.55 ), cong( X, Y, Z, T ) }.
% 18.19/18.55 parent0: (60304) {G0,W29,D2,L5,V6,M5} { ! cyclic( X, Y, U, Z ), ! cyclic(
% 18.19/18.55 X, Y, U, T ), ! cyclic( X, Y, U, W ), ! eqangle( U, X, U, Y, W, Z, W, T )
% 18.19/18.55 , cong( X, Y, Z, T ) }.
% 18.19/18.55 substitution0:
% 18.19/18.55 X := X
% 18.19/18.55 Y := Y
% 18.19/18.55 Z := Z
% 18.19/18.55 T := T
% 18.19/18.55 U := U
% 18.19/18.55 W := W
% 18.19/18.55 end
% 18.19/18.55 permutation0:
% 18.19/18.55 0 ==> 0
% 18.19/18.55 1 ==> 1
% 18.19/18.55 2 ==> 2
% 18.19/18.55 3 ==> 3
% 18.19/18.55 4 ==> 4
% 18.19/18.55 end
% 18.19/18.55
% 18.19/18.55 subsumption: (56) {G0,W15,D2,L3,V4,M3} I { ! cong( X, Z, Y, Z ), ! cong( X
% 18.19/18.55 , T, Y, T ), perp( X, Y, Z, T ) }.
% 18.19/18.55 parent0: (60317) {G0,W15,D2,L3,V4,M3} { ! cong( X, Z, Y, Z ), ! cong( X, T
% 18.19/18.55 , Y, T ), perp( X, Y, Z, T ) }.
% 18.19/18.55 substitution0:
% 18.19/18.55 X := X
% 18.19/18.55 Y := Y
% 18.19/18.55 Z := Z
% 18.19/18.55 T := T
% 18.19/18.55 end
% 18.19/18.55 permutation0:
% 18.19/18.55 0 ==> 0
% 18.19/18.55 1 ==> 1
% 18.19/18.55 2 ==> 2
% 18.19/18.55 end
% 18.19/18.55
% 18.19/18.55 subsumption: (96) {G0,W14,D2,L3,V4,M3} I { ! perp( X, T, Y, Z ), ! perp( Y
% 18.19/18.55 , T, X, Z ), alpha1( X, Y, Z ) }.
% 18.19/18.55 parent0: (60358) {G0,W14,D2,L3,V4,M3} { ! perp( X, T, Y, Z ), ! perp( Y, T
% 18.19/18.55 , X, Z ), alpha1( X, Y, Z ) }.
% 18.19/18.55 substitution0:
% 18.19/18.55 X := X
% 18.19/18.55 Y := Y
% 18.19/18.55 Z := Z
% 18.19/18.55 T := T
% 18.19/18.55 end
% 18.19/18.55 permutation0:
% 18.19/18.55 0 ==> 0
% 18.19/18.55 1 ==> 1
% 18.19/18.55 2 ==> 2
% 18.19/18.55 end
% 18.19/18.55
% 18.19/18.55 subsumption: (97) {G0,W11,D3,L2,V4,M2} I { ! alpha1( X, Y, Z ), coll(
% 18.19/18.55 skol11( X, T, Z ), Z, X ) }.
% 18.19/18.55 parent0: (60359) {G0,W11,D3,L2,V4,M2} { ! alpha1( X, Y, Z ), coll( skol11
% 18.19/18.55 ( X, T, Z ), Z, X ) }.
% 18.19/18.55 substitution0:
% 18.19/18.55 X := X
% 18.19/18.55 Y := Y
% 18.19/18.55 Z := Z
% 18.19/18.55 T := T
% 18.19/18.55 end
% 18.19/18.55 permutation0:
% 18.19/18.55 0 ==> 0
% 18.19/18.55 1 ==> 1
% 18.19/18.55 end
% 18.19/18.55
% 18.19/18.55 subsumption: (100) {G0,W12,D3,L2,V4,M2} I { ! circle( Y, X, Z, T ), perp(
% 18.19/18.55 skol12( X, Y ), X, X, Y ) }.
% 18.19/18.55 parent0: (60362) {G0,W12,D3,L2,V4,M2} { ! circle( Y, X, Z, T ), perp(
% 18.19/18.55 skol12( X, Y ), X, X, Y ) }.
% 18.19/18.55 substitution0:
% 18.19/18.55 X := X
% 18.19/18.55 Y := Y
% 18.19/18.55 Z := Z
% 18.19/18.55 T := T
% 18.19/18.55 end
% 18.19/18.55 permutation0:
% 18.19/18.55 0 ==> 0
% 18.19/18.55 1 ==> 1
% 18.19/18.55 end
% 18.19/18.55
% 18.19/18.55 subsumption: (117) {G0,W5,D2,L1,V0,M1} I { circle( skol28, skol25, skol29,
% 18.19/18.55 skol30 ) }.
% 18.19/18.55 parent0: (60379) {G0,W5,D2,L1,V0,M1} { circle( skol28, skol25, skol29,
% 18.19/18.55 skol30 ) }.
% 18.19/18.55 substitution0:
% 18.19/18.55 end
% 18.19/18.55 permutation0:
% 18.19/18.55 0 ==> 0
% 18.19/18.55 end
% 18.19/18.55
% 18.19/18.55 subsumption: (127) {G0,W5,D2,L1,V0,M1} I { ! perp( skol23, skol24, skol22,
% 18.19/18.55 skol20 ) }.
% 18.19/18.55 parent0: (60389) {G0,W5,D2,L1,V0,M1} { ! perp( skol23, skol24, skol22,
% 18.19/18.55 skol20 ) }.
% 18.19/18.55 substitution0:
% 18.19/18.55 end
% 18.19/18.55 permutation0:
% 18.19/18.55 0 ==> 0
% 18.19/18.55 end
% 18.19/18.55
% 18.19/18.55 resolution: (60750) {G1,W12,D2,L3,V4,M3} { coll( X, Z, Y ), ! coll( Z, T,
% 18.19/18.55 X ), ! coll( Z, T, Y ) }.
% 18.19/18.55 parent0[0]: (0) {G0,W8,D2,L2,V3,M2} I { ! coll( X, Y, Z ), coll( X, Z, Y )
% 18.19/18.55 }.
% 18.19/18.55 parent1[2]: (2) {G0,W12,D2,L3,V4,M3} I { ! coll( X, T, Y ), ! coll( X, T, Z
% 18.19/18.55 ), coll( Y, Z, X ) }.
% 18.19/18.55 substitution0:
% 18.19/18.55 X := X
% 18.19/18.55 Y := Y
% 18.19/18.55 Z := Z
% 18.19/18.55 end
% 18.19/18.55 substitution1:
% 18.19/18.55 X := Z
% 18.19/18.55 Y := X
% 18.19/18.55 Z := Y
% 18.19/18.55 T := T
% 18.19/18.55 end
% 18.19/18.55
% 18.19/18.55 subsumption: (204) {G1,W12,D2,L3,V4,M3} R(2,0) { ! coll( X, Y, Z ), ! coll
% 18.19/18.55 ( X, Y, T ), coll( Z, X, T ) }.
% 18.19/18.55 parent0: (60750) {G1,W12,D2,L3,V4,M3} { coll( X, Z, Y ), ! coll( Z, T, X )
% 18.19/18.55 , ! coll( Z, T, Y ) }.
% 18.19/18.55 substitution0:
% 18.19/18.55 X := Z
% 18.19/18.55 Y := T
% 18.19/18.55 Z := X
% 18.19/18.55 T := Y
% 18.19/18.55 end
% 18.19/18.55 permutation0:
% 18.19/18.55 0 ==> 2
% 18.19/18.55 1 ==> 0
% 18.19/18.55 2 ==> 1
% 18.19/18.55 end
% 18.19/18.55
% 18.19/18.55 factor: (60752) {G1,W8,D2,L2,V3,M2} { ! coll( X, Y, Z ), coll( Z, X, Z )
% 18.19/18.55 }.
% 18.19/18.55 parent0[0, 1]: (204) {G1,W12,D2,L3,V4,M3} R(2,0) { ! coll( X, Y, Z ), !
% 18.19/18.55 coll( X, Y, T ), coll( Z, X, T ) }.
% 18.19/18.55 substitution0:
% 18.19/18.55 X := X
% 18.19/18.55 Y := Y
% 18.19/18.55 Z := Z
% 18.19/18.55 T := Z
% 18.19/18.55 end
% 18.19/18.55
% 18.19/18.55 subsumption: (213) {G2,W8,D2,L2,V3,M2} F(204) { ! coll( X, Y, Z ), coll( Z
% 18.19/18.55 , X, Z ) }.
% 18.19/18.55 parent0: (60752) {G1,W8,D2,L2,V3,M2} { ! coll( X, Y, Z ), coll( Z, X, Z )
% 18.19/18.55 }.
% 18.19/18.55 substitution0:
% 18.19/18.55 X := X
% 18.19/18.55 Y := Y
% 18.19/18.55 Z := Z
% 18.19/18.55 end
% 18.19/18.55 permutation0:
% 18.19/18.55 0 ==> 0
% 18.19/18.55 1 ==> 1
% 18.19/18.55 end
% 18.19/18.55
% 18.19/18.55 resolution: (60753) {G1,W15,D2,L3,V6,M3} { ! perp( Z, T, U, W ), para( X,
% 18.19/18.55 Y, U, W ), ! perp( Z, T, X, Y ) }.
% 18.19/18.55 parent0[0]: (8) {G0,W15,D2,L3,V6,M3} I { ! perp( X, Y, U, W ), ! perp( U, W
% 18.19/18.55 , Z, T ), para( X, Y, Z, T ) }.
% 18.19/18.55 parent1[1]: (7) {G0,W10,D2,L2,V4,M2} I { ! perp( X, Y, Z, T ), perp( Z, T,
% 18.19/18.55 X, Y ) }.
% 18.19/18.55 substitution0:
% 18.19/18.55 X := X
% 18.19/18.55 Y := Y
% 18.19/18.55 Z := U
% 18.19/18.55 T := W
% 18.19/18.55 U := Z
% 18.19/18.55 W := T
% 18.19/18.55 end
% 18.19/18.55 substitution1:
% 18.19/18.55 X := Z
% 18.19/18.55 Y := T
% 18.19/18.55 Z := X
% 18.19/18.55 T := Y
% 18.19/18.55 end
% 18.19/18.55
% 18.19/18.55 subsumption: (264) {G1,W15,D2,L3,V6,M3} R(8,7) { ! perp( X, Y, Z, T ), para
% 18.19/18.55 ( U, W, Z, T ), ! perp( X, Y, U, W ) }.
% 18.19/18.55 parent0: (60753) {G1,W15,D2,L3,V6,M3} { ! perp( Z, T, U, W ), para( X, Y,
% 18.19/18.55 U, W ), ! perp( Z, T, X, Y ) }.
% 18.19/18.55 substitution0:
% 18.19/18.55 X := U
% 18.19/18.55 Y := W
% 18.19/18.55 Z := X
% 18.19/18.55 T := Y
% 18.19/18.55 U := Z
% 18.19/18.55 W := T
% 18.19/18.55 end
% 18.19/18.55 permutation0:
% 18.19/18.55 0 ==> 0
% 18.19/18.55 1 ==> 1
% 18.19/18.55 2 ==> 2
% 18.19/18.55 end
% 18.19/18.55
% 18.19/18.55 resolution: (60758) {G1,W15,D2,L3,V6,M3} { ! perp( X, Y, Z, T ), para( X,
% 18.19/18.55 Y, U, W ), ! perp( U, W, Z, T ) }.
% 18.19/18.55 parent0[1]: (8) {G0,W15,D2,L3,V6,M3} I { ! perp( X, Y, U, W ), ! perp( U, W
% 18.19/18.55 , Z, T ), para( X, Y, Z, T ) }.
% 18.19/18.55 parent1[1]: (7) {G0,W10,D2,L2,V4,M2} I { ! perp( X, Y, Z, T ), perp( Z, T,
% 18.19/18.55 X, Y ) }.
% 18.19/18.55 substitution0:
% 18.19/18.55 X := X
% 18.19/18.55 Y := Y
% 18.19/18.55 Z := U
% 18.19/18.55 T := W
% 18.19/18.55 U := Z
% 18.19/18.55 W := T
% 18.19/18.55 end
% 18.19/18.55 substitution1:
% 18.19/18.55 X := U
% 18.19/18.55 Y := W
% 18.19/18.55 Z := Z
% 18.19/18.55 T := T
% 18.19/18.55 end
% 18.19/18.55
% 18.19/18.55 subsumption: (265) {G1,W15,D2,L3,V6,M3} R(8,7) { ! perp( X, Y, Z, T ), para
% 18.19/18.55 ( X, Y, U, W ), ! perp( U, W, Z, T ) }.
% 18.19/18.55 parent0: (60758) {G1,W15,D2,L3,V6,M3} { ! perp( X, Y, Z, T ), para( X, Y,
% 18.19/18.55 U, W ), ! perp( U, W, Z, T ) }.
% 18.19/18.55 substitution0:
% 18.19/18.55 X := X
% 18.19/18.55 Y := Y
% 18.19/18.55 Z := Z
% 18.19/18.55 T := T
% 18.19/18.55 U := U
% 18.19/18.55 W := W
% 18.19/18.55 end
% 18.19/18.55 permutation0:
% 18.19/18.55 0 ==> 0
% 18.19/18.55 1 ==> 1
% 18.19/18.55 2 ==> 2
% 18.19/18.55 end
% 18.19/18.55
% 18.19/18.55 factor: (60761) {G1,W10,D2,L2,V4,M2} { ! perp( X, Y, Z, T ), para( X, Y, X
% 18.19/18.55 , Y ) }.
% 18.19/18.55 parent0[0, 2]: (265) {G1,W15,D2,L3,V6,M3} R(8,7) { ! perp( X, Y, Z, T ),
% 18.19/18.55 para( X, Y, U, W ), ! perp( U, W, Z, T ) }.
% 18.19/18.55 substitution0:
% 18.19/18.55 X := X
% 18.19/18.55 Y := Y
% 18.19/18.55 Z := Z
% 18.19/18.55 T := T
% 18.19/18.55 U := X
% 18.19/18.55 W := Y
% 18.19/18.55 end
% 18.19/18.55
% 18.19/18.55 subsumption: (273) {G2,W10,D2,L2,V4,M2} F(265) { ! perp( X, Y, Z, T ), para
% 18.19/18.55 ( X, Y, X, Y ) }.
% 18.19/18.55 parent0: (60761) {G1,W10,D2,L2,V4,M2} { ! perp( X, Y, Z, T ), para( X, Y,
% 18.19/18.55 X, Y ) }.
% 18.19/18.55 substitution0:
% 18.19/18.55 X := X
% 18.19/18.55 Y := Y
% 18.19/18.55 Z := Z
% 18.19/18.55 T := T
% 18.19/18.55 end
% 18.19/18.55 permutation0:
% 18.19/18.55 0 ==> 0
% 18.19/18.55 1 ==> 1
% 18.19/18.55 end
% 18.19/18.55
% 18.19/18.55 resolution: (60762) {G1,W12,D2,L3,V4,M3} { coll( Z, X, Z ), ! coll( Z, T,
% 18.19/18.55 X ), ! coll( Z, T, Y ) }.
% 18.19/18.55 parent0[0]: (213) {G2,W8,D2,L2,V3,M2} F(204) { ! coll( X, Y, Z ), coll( Z,
% 18.19/18.55 X, Z ) }.
% 18.19/18.55 parent1[2]: (2) {G0,W12,D2,L3,V4,M3} I { ! coll( X, T, Y ), ! coll( X, T, Z
% 18.19/18.55 ), coll( Y, Z, X ) }.
% 18.19/18.55 substitution0:
% 18.19/18.55 X := X
% 18.19/18.55 Y := Y
% 18.19/18.55 Z := Z
% 18.19/18.55 end
% 18.19/18.55 substitution1:
% 18.19/18.55 X := Z
% 18.19/18.55 Y := X
% 18.19/18.55 Z := Y
% 18.19/18.55 T := T
% 18.19/18.55 end
% 18.19/18.55
% 18.19/18.55 subsumption: (288) {G3,W12,D2,L3,V4,M3} R(213,2) { coll( X, Y, X ), ! coll
% 18.19/18.55 ( X, Z, Y ), ! coll( X, Z, T ) }.
% 18.19/18.55 parent0: (60762) {G1,W12,D2,L3,V4,M3} { coll( Z, X, Z ), ! coll( Z, T, X )
% 18.19/18.55 , ! coll( Z, T, Y ) }.
% 18.19/18.55 substitution0:
% 18.19/18.55 X := Y
% 18.19/18.55 Y := Y
% 18.19/18.55 Z := X
% 18.19/18.55 T := Z
% 18.19/18.55 end
% 18.19/18.55 permutation0:
% 18.19/18.55 0 ==> 0
% 18.19/18.55 1 ==> 1
% 18.19/18.55 2 ==> 1
% 18.19/18.55 end
% 18.19/18.55
% 18.19/18.55 factor: (60764) {G3,W8,D2,L2,V3,M2} { coll( X, Y, X ), ! coll( X, Z, Y )
% 18.19/18.55 }.
% 18.19/18.55 parent0[1, 2]: (288) {G3,W12,D2,L3,V4,M3} R(213,2) { coll( X, Y, X ), !
% 18.19/18.55 coll( X, Z, Y ), ! coll( X, Z, T ) }.
% 18.19/18.55 substitution0:
% 18.19/18.55 X := X
% 18.19/18.55 Y := Y
% 18.19/18.55 Z := Z
% 18.19/18.55 T := Y
% 18.19/18.55 end
% 18.19/18.55
% 18.19/18.55 subsumption: (305) {G4,W8,D2,L2,V3,M2} F(288) { coll( X, Y, X ), ! coll( X
% 18.19/18.55 , Z, Y ) }.
% 18.19/18.55 parent0: (60764) {G3,W8,D2,L2,V3,M2} { coll( X, Y, X ), ! coll( X, Z, Y )
% 18.19/18.55 }.
% 18.19/18.55 substitution0:
% 18.19/18.55 X := X
% 18.19/18.55 Y := Y
% 18.19/18.55 Z := Z
% 18.19/18.55 end
% 18.19/18.55 permutation0:
% 18.19/18.55 0 ==> 0
% 18.19/18.55 1 ==> 1
% 18.19/18.55 end
% 18.19/18.55
% 18.19/18.55 resolution: (60765) {G1,W10,D2,L2,V2,M2} { ! para( skol23, skol24, X, Y )
% 18.19/18.55 , ! perp( X, Y, skol22, skol20 ) }.
% 18.19/18.55 parent0[0]: (127) {G0,W5,D2,L1,V0,M1} I { ! perp( skol23, skol24, skol22,
% 18.19/18.55 skol20 ) }.
% 18.19/18.55 parent1[2]: (9) {G0,W15,D2,L3,V6,M3} I { ! para( X, Y, U, W ), ! perp( U, W
% 18.19/18.55 , Z, T ), perp( X, Y, Z, T ) }.
% 18.19/18.55 substitution0:
% 18.19/18.55 end
% 18.19/18.55 substitution1:
% 18.19/18.55 X := skol23
% 18.19/18.55 Y := skol24
% 18.19/18.55 Z := skol22
% 18.19/18.55 T := skol20
% 18.19/18.55 U := X
% 18.19/18.55 W := Y
% 18.19/18.55 end
% 18.19/18.55
% 18.19/18.55 subsumption: (325) {G1,W10,D2,L2,V2,M2} R(9,127) { ! para( skol23, skol24,
% 18.19/18.55 X, Y ), ! perp( X, Y, skol22, skol20 ) }.
% 18.19/18.55 parent0: (60765) {G1,W10,D2,L2,V2,M2} { ! para( skol23, skol24, X, Y ), !
% 18.19/18.55 perp( X, Y, skol22, skol20 ) }.
% 18.19/18.55 substitution0:
% 18.19/18.55 X := X
% 18.19/18.55 Y := Y
% 18.19/18.55 end
% 18.19/18.55 permutation0:
% 18.19/18.55 0 ==> 0
% 18.19/18.55 1 ==> 1
% 18.19/18.55 end
% 18.19/18.55
% 18.19/18.55 resolution: (60767) {G1,W10,D2,L2,V4,M2} { cyclic( X, Y, T, Z ), ! cyclic
% 18.19/18.55 ( X, Z, Y, T ) }.
% 18.19/18.55 parent0[0]: (13) {G0,W10,D2,L2,V4,M2} I { ! cyclic( X, Y, Z, T ), cyclic( X
% 18.19/18.55 , Y, T, Z ) }.
% 18.19/18.55 parent1[1]: (14) {G0,W10,D2,L2,V4,M2} I { ! cyclic( X, Y, Z, T ), cyclic( X
% 18.19/18.55 , Z, Y, T ) }.
% 18.19/18.55 substitution0:
% 18.19/18.55 X := X
% 18.19/18.55 Y := Y
% 18.19/18.55 Z := Z
% 18.19/18.55 T := T
% 18.19/18.55 end
% 18.19/18.55 substitution1:
% 18.19/18.55 X := X
% 18.19/18.55 Y := Z
% 18.19/18.55 Z := Y
% 18.19/18.55 T := T
% 18.19/18.55 end
% 18.19/18.55
% 18.19/18.55 subsumption: (361) {G1,W10,D2,L2,V4,M2} R(14,13) { ! cyclic( X, Y, Z, T ),
% 18.19/18.55 cyclic( X, Z, T, Y ) }.
% 18.19/18.55 parent0: (60767) {G1,W10,D2,L2,V4,M2} { cyclic( X, Y, T, Z ), ! cyclic( X
% 18.19/18.55 , Z, Y, T ) }.
% 18.19/18.55 substitution0:
% 18.19/18.55 X := X
% 18.19/18.55 Y := Z
% 18.19/18.55 Z := Y
% 18.19/18.55 T := T
% 18.19/18.55 end
% 18.19/18.55 permutation0:
% 18.19/18.55 0 ==> 1
% 18.19/18.55 1 ==> 0
% 18.19/18.55 end
% 18.19/18.55
% 18.19/18.55 resolution: (60768) {G1,W10,D2,L2,V4,M2} { cyclic( Y, X, Z, T ), ! cyclic
% 18.19/18.55 ( X, Z, Y, T ) }.
% 18.19/18.55 parent0[0]: (15) {G0,W10,D2,L2,V4,M2} I { ! cyclic( X, Y, Z, T ), cyclic( Y
% 18.19/18.55 , X, Z, T ) }.
% 18.19/18.55 parent1[1]: (14) {G0,W10,D2,L2,V4,M2} I { ! cyclic( X, Y, Z, T ), cyclic( X
% 18.19/18.55 , Z, Y, T ) }.
% 18.19/18.55 substitution0:
% 18.19/18.55 X := X
% 18.19/18.55 Y := Y
% 18.19/18.55 Z := Z
% 18.19/18.55 T := T
% 18.19/18.55 end
% 18.19/18.55 substitution1:
% 18.19/18.55 X := X
% 18.19/18.56 Y := Z
% 18.19/18.56 Z := Y
% 18.19/18.56 T := T
% 18.19/18.56 end
% 18.19/18.56
% 18.19/18.56 subsumption: (369) {G1,W10,D2,L2,V4,M2} R(15,14) { cyclic( X, Y, Z, T ), !
% 18.19/18.56 cyclic( Y, Z, X, T ) }.
% 18.19/18.56 parent0: (60768) {G1,W10,D2,L2,V4,M2} { cyclic( Y, X, Z, T ), ! cyclic( X
% 18.19/18.56 , Z, Y, T ) }.
% 18.19/18.56 substitution0:
% 18.19/18.56 X := Y
% 18.19/18.56 Y := X
% 18.19/18.56 Z := Z
% 18.19/18.56 T := T
% 18.19/18.56 end
% 18.19/18.56 permutation0:
% 18.19/18.56 0 ==> 0
% 18.19/18.56 1 ==> 1
% 18.19/18.56 end
% 18.19/18.56
% 18.19/18.56 resolution: (60769) {G1,W10,D2,L2,V4,M2} { cyclic( Y, X, Z, T ), ! cyclic
% 18.19/18.56 ( X, Y, T, Z ) }.
% 18.19/18.56 parent0[0]: (15) {G0,W10,D2,L2,V4,M2} I { ! cyclic( X, Y, Z, T ), cyclic( Y
% 18.19/18.56 , X, Z, T ) }.
% 18.19/18.56 parent1[1]: (13) {G0,W10,D2,L2,V4,M2} I { ! cyclic( X, Y, Z, T ), cyclic( X
% 18.19/18.56 , Y, T, Z ) }.
% 18.19/18.56 substitution0:
% 18.19/18.56 X := X
% 18.19/18.56 Y := Y
% 18.19/18.56 Z := Z
% 18.19/18.56 T := T
% 18.19/18.56 end
% 18.19/18.56 substitution1:
% 18.19/18.56 X := X
% 18.19/18.56 Y := Y
% 18.19/18.56 Z := T
% 18.19/18.56 T := Z
% 18.19/18.56 end
% 18.19/18.56
% 18.19/18.56 subsumption: (371) {G1,W10,D2,L2,V4,M2} R(15,13) { cyclic( X, Y, Z, T ), !
% 18.19/18.56 cyclic( Y, X, T, Z ) }.
% 18.19/18.56 parent0: (60769) {G1,W10,D2,L2,V4,M2} { cyclic( Y, X, Z, T ), ! cyclic( X
% 18.19/18.56 , Y, T, Z ) }.
% 18.19/18.56 substitution0:
% 18.19/18.56 X := Y
% 18.19/18.56 Y := X
% 18.19/18.56 Z := Z
% 18.19/18.56 T := T
% 18.19/18.56 end
% 18.19/18.56 permutation0:
% 18.19/18.56 0 ==> 0
% 18.19/18.56 1 ==> 1
% 18.19/18.56 end
% 18.19/18.56
% 18.19/18.56 resolution: (60773) {G1,W15,D2,L3,V5,M3} { cyclic( Y, X, Z, T ), ! cyclic
% 18.19/18.56 ( U, X, Y, Z ), ! cyclic( U, X, Y, T ) }.
% 18.19/18.56 parent0[0]: (15) {G0,W10,D2,L2,V4,M2} I { ! cyclic( X, Y, Z, T ), cyclic( Y
% 18.19/18.56 , X, Z, T ) }.
% 18.19/18.56 parent1[2]: (16) {G0,W15,D2,L3,V5,M3} I { ! cyclic( U, X, Y, Z ), ! cyclic
% 18.19/18.56 ( U, X, Y, T ), cyclic( X, Y, Z, T ) }.
% 18.19/18.56 substitution0:
% 18.19/18.56 X := X
% 18.19/18.56 Y := Y
% 18.19/18.56 Z := Z
% 18.19/18.56 T := T
% 18.19/18.56 end
% 18.19/18.56 substitution1:
% 18.19/18.56 X := X
% 18.19/18.56 Y := Y
% 18.19/18.56 Z := Z
% 18.19/18.56 T := T
% 18.19/18.56 U := U
% 18.19/18.56 end
% 18.19/18.56
% 18.19/18.56 subsumption: (389) {G1,W15,D2,L3,V5,M3} R(16,15) { ! cyclic( X, Y, Z, T ),
% 18.19/18.56 ! cyclic( X, Y, Z, U ), cyclic( Z, Y, T, U ) }.
% 18.19/18.56 parent0: (60773) {G1,W15,D2,L3,V5,M3} { cyclic( Y, X, Z, T ), ! cyclic( U
% 18.19/18.56 , X, Y, Z ), ! cyclic( U, X, Y, T ) }.
% 18.19/18.56 substitution0:
% 18.19/18.56 X := Y
% 18.19/18.56 Y := Z
% 18.19/18.56 Z := T
% 18.19/18.56 T := U
% 18.19/18.56 U := X
% 18.19/18.56 end
% 18.19/18.56 permutation0:
% 18.19/18.56 0 ==> 2
% 18.19/18.56 1 ==> 0
% 18.19/18.56 2 ==> 1
% 18.19/18.56 end
% 18.19/18.56
% 18.19/18.56 resolution: (60776) {G1,W15,D2,L3,V5,M3} { ! cyclic( X, Y, Z, T ), cyclic
% 18.19/18.56 ( Y, Z, T, U ), ! cyclic( X, Y, U, Z ) }.
% 18.19/18.56 parent0[1]: (16) {G0,W15,D2,L3,V5,M3} I { ! cyclic( U, X, Y, Z ), ! cyclic
% 18.19/18.56 ( U, X, Y, T ), cyclic( X, Y, Z, T ) }.
% 18.19/18.56 parent1[1]: (13) {G0,W10,D2,L2,V4,M2} I { ! cyclic( X, Y, Z, T ), cyclic( X
% 18.19/18.56 , Y, T, Z ) }.
% 18.19/18.56 substitution0:
% 18.19/18.56 X := Y
% 18.19/18.56 Y := Z
% 18.19/18.56 Z := T
% 18.19/18.56 T := U
% 18.19/18.56 U := X
% 18.19/18.56 end
% 18.19/18.56 substitution1:
% 18.19/18.56 X := X
% 18.19/18.56 Y := Y
% 18.19/18.56 Z := U
% 18.19/18.56 T := Z
% 18.19/18.56 end
% 18.19/18.56
% 18.19/18.56 subsumption: (394) {G1,W15,D2,L3,V5,M3} R(16,13) { ! cyclic( X, Y, Z, T ),
% 18.19/18.56 cyclic( Y, Z, T, U ), ! cyclic( X, Y, U, Z ) }.
% 18.19/18.56 parent0: (60776) {G1,W15,D2,L3,V5,M3} { ! cyclic( X, Y, Z, T ), cyclic( Y
% 18.19/18.56 , Z, T, U ), ! cyclic( X, Y, U, Z ) }.
% 18.19/18.56 substitution0:
% 18.19/18.56 X := X
% 18.19/18.56 Y := Y
% 18.19/18.56 Z := Z
% 18.19/18.56 T := T
% 18.19/18.56 U := U
% 18.19/18.56 end
% 18.19/18.56 permutation0:
% 18.19/18.56 0 ==> 0
% 18.19/18.56 1 ==> 1
% 18.19/18.56 2 ==> 2
% 18.19/18.56 end
% 18.19/18.56
% 18.19/18.56 factor: (60778) {G1,W10,D2,L2,V4,M2} { ! cyclic( X, Y, Z, T ), cyclic( Z,
% 18.19/18.56 Y, T, T ) }.
% 18.19/18.56 parent0[0, 1]: (389) {G1,W15,D2,L3,V5,M3} R(16,15) { ! cyclic( X, Y, Z, T )
% 18.19/18.56 , ! cyclic( X, Y, Z, U ), cyclic( Z, Y, T, U ) }.
% 18.19/18.56 substitution0:
% 18.19/18.56 X := X
% 18.19/18.56 Y := Y
% 18.19/18.56 Z := Z
% 18.19/18.56 T := T
% 18.19/18.56 U := T
% 18.19/18.56 end
% 18.19/18.56
% 18.19/18.56 subsumption: (398) {G2,W10,D2,L2,V4,M2} F(389) { ! cyclic( X, Y, Z, T ),
% 18.19/18.56 cyclic( Z, Y, T, T ) }.
% 18.19/18.56 parent0: (60778) {G1,W10,D2,L2,V4,M2} { ! cyclic( X, Y, Z, T ), cyclic( Z
% 18.19/18.56 , Y, T, T ) }.
% 18.19/18.56 substitution0:
% 18.19/18.56 X := X
% 18.19/18.56 Y := Y
% 18.19/18.56 Z := Z
% 18.19/18.56 T := T
% 18.19/18.56 end
% 18.19/18.56 permutation0:
% 18.19/18.56 0 ==> 0
% 18.19/18.56 1 ==> 1
% 18.19/18.56 end
% 18.19/18.56
% 18.19/18.56 resolution: (60780) {G1,W8,D2,L2,V3,M2} { coll( Y, X, X ), ! coll( X, Z, Y
% 18.19/18.56 ) }.
% 18.19/18.56 parent0[0]: (1) {G0,W8,D2,L2,V3,M2} I { ! coll( X, Y, Z ), coll( Y, X, Z )
% 18.19/18.56 }.
% 18.19/18.56 parent1[0]: (305) {G4,W8,D2,L2,V3,M2} F(288) { coll( X, Y, X ), ! coll( X,
% 18.19/18.56 Z, Y ) }.
% 18.19/18.56 substitution0:
% 18.19/18.56 X := X
% 18.19/18.56 Y := Y
% 18.19/18.56 Z := X
% 18.19/18.56 end
% 18.19/18.56 substitution1:
% 18.19/18.56 X := X
% 18.19/18.56 Y := Y
% 18.19/18.56 Z := Z
% 18.19/18.56 end
% 18.19/18.56
% 18.19/18.56 subsumption: (577) {G5,W8,D2,L2,V3,M2} R(305,1) { ! coll( X, Y, Z ), coll(
% 18.19/18.56 Z, X, X ) }.
% 18.19/18.56 parent0: (60780) {G1,W8,D2,L2,V3,M2} { coll( Y, X, X ), ! coll( X, Z, Y )
% 18.19/18.56 }.
% 18.19/18.56 substitution0:
% 18.19/18.56 X := X
% 18.19/18.56 Y := Z
% 18.19/18.56 Z := Y
% 18.19/18.56 end
% 18.19/18.56 permutation0:
% 18.19/18.56 0 ==> 1
% 18.19/18.56 1 ==> 0
% 18.19/18.56 end
% 18.19/18.56
% 18.19/18.56 resolution: (60781) {G1,W8,D2,L2,V3,M2} { coll( Z, X, X ), ! coll( Y, X, Z
% 18.19/18.56 ) }.
% 18.19/18.56 parent0[0]: (577) {G5,W8,D2,L2,V3,M2} R(305,1) { ! coll( X, Y, Z ), coll( Z
% 18.19/18.56 , X, X ) }.
% 18.19/18.56 parent1[1]: (1) {G0,W8,D2,L2,V3,M2} I { ! coll( X, Y, Z ), coll( Y, X, Z )
% 18.19/18.56 }.
% 18.19/18.56 substitution0:
% 18.19/18.56 X := X
% 18.19/18.56 Y := Y
% 18.19/18.56 Z := Z
% 18.19/18.56 end
% 18.19/18.56 substitution1:
% 18.19/18.56 X := Y
% 18.19/18.56 Y := X
% 18.19/18.56 Z := Z
% 18.19/18.56 end
% 18.19/18.56
% 18.19/18.56 subsumption: (582) {G6,W8,D2,L2,V3,M2} R(577,1) { coll( X, Y, Y ), ! coll(
% 18.19/18.56 Z, Y, X ) }.
% 18.19/18.56 parent0: (60781) {G1,W8,D2,L2,V3,M2} { coll( Z, X, X ), ! coll( Y, X, Z )
% 18.19/18.56 }.
% 18.19/18.56 substitution0:
% 18.19/18.56 X := Y
% 18.19/18.56 Y := Z
% 18.19/18.56 Z := X
% 18.19/18.56 end
% 18.19/18.56 permutation0:
% 18.19/18.56 0 ==> 0
% 18.19/18.56 1 ==> 1
% 18.19/18.56 end
% 18.19/18.56
% 18.19/18.56 resolution: (60782) {G1,W8,D2,L2,V3,M2} { coll( Z, X, X ), ! coll( X, Z, Y
% 18.19/18.56 ) }.
% 18.19/18.56 parent0[0]: (577) {G5,W8,D2,L2,V3,M2} R(305,1) { ! coll( X, Y, Z ), coll( Z
% 18.19/18.56 , X, X ) }.
% 18.19/18.56 parent1[1]: (0) {G0,W8,D2,L2,V3,M2} I { ! coll( X, Y, Z ), coll( X, Z, Y )
% 18.19/18.56 }.
% 18.19/18.56 substitution0:
% 18.19/18.56 X := X
% 18.19/18.56 Y := Y
% 18.19/18.56 Z := Z
% 18.19/18.56 end
% 18.19/18.56 substitution1:
% 18.19/18.56 X := X
% 18.19/18.56 Y := Z
% 18.19/18.56 Z := Y
% 18.19/18.56 end
% 18.19/18.56
% 18.19/18.56 subsumption: (583) {G6,W8,D2,L2,V3,M2} R(577,0) { coll( X, Y, Y ), ! coll(
% 18.19/18.56 Y, X, Z ) }.
% 18.19/18.56 parent0: (60782) {G1,W8,D2,L2,V3,M2} { coll( Z, X, X ), ! coll( X, Z, Y )
% 18.19/18.56 }.
% 18.19/18.56 substitution0:
% 18.19/18.56 X := Y
% 18.19/18.56 Y := Z
% 18.19/18.56 Z := X
% 18.19/18.56 end
% 18.19/18.56 permutation0:
% 18.19/18.56 0 ==> 0
% 18.19/18.56 1 ==> 1
% 18.19/18.56 end
% 18.19/18.56
% 18.19/18.56 resolution: (60783) {G7,W8,D2,L2,V3,M2} { coll( X, Y, Y ), ! coll( X, Y, Z
% 18.19/18.56 ) }.
% 18.19/18.56 parent0[1]: (583) {G6,W8,D2,L2,V3,M2} R(577,0) { coll( X, Y, Y ), ! coll( Y
% 18.19/18.56 , X, Z ) }.
% 18.19/18.56 parent1[0]: (583) {G6,W8,D2,L2,V3,M2} R(577,0) { coll( X, Y, Y ), ! coll( Y
% 18.19/18.56 , X, Z ) }.
% 18.19/18.56 substitution0:
% 18.19/18.56 X := X
% 18.19/18.56 Y := Y
% 18.19/18.56 Z := X
% 18.19/18.56 end
% 18.19/18.56 substitution1:
% 18.19/18.56 X := Y
% 18.19/18.56 Y := X
% 18.19/18.56 Z := Z
% 18.19/18.56 end
% 18.19/18.56
% 18.19/18.56 subsumption: (587) {G7,W8,D2,L2,V3,M2} R(583,583) { ! coll( X, Y, Z ), coll
% 18.19/18.56 ( X, Y, Y ) }.
% 18.19/18.56 parent0: (60783) {G7,W8,D2,L2,V3,M2} { coll( X, Y, Y ), ! coll( X, Y, Z )
% 18.19/18.56 }.
% 18.19/18.56 substitution0:
% 18.19/18.56 X := X
% 18.19/18.56 Y := Y
% 18.19/18.56 Z := Z
% 18.19/18.56 end
% 18.19/18.56 permutation0:
% 18.19/18.56 0 ==> 1
% 18.19/18.56 1 ==> 0
% 18.19/18.56 end
% 18.19/18.56
% 18.19/18.56 resolution: (60787) {G1,W12,D2,L3,V4,M3} { ! coll( X, Y, Z ), coll( Z, Y,
% 18.19/18.56 X ), ! coll( X, Y, T ) }.
% 18.19/18.56 parent0[1]: (2) {G0,W12,D2,L3,V4,M3} I { ! coll( X, T, Y ), ! coll( X, T, Z
% 18.19/18.56 ), coll( Y, Z, X ) }.
% 18.19/18.56 parent1[1]: (587) {G7,W8,D2,L2,V3,M2} R(583,583) { ! coll( X, Y, Z ), coll
% 18.19/18.56 ( X, Y, Y ) }.
% 18.19/18.56 substitution0:
% 18.19/18.56 X := X
% 18.19/18.56 Y := Z
% 18.19/18.56 Z := Y
% 18.19/18.56 T := Y
% 18.19/18.56 end
% 18.19/18.56 substitution1:
% 18.19/18.56 X := X
% 18.19/18.56 Y := Y
% 18.19/18.56 Z := T
% 18.19/18.56 end
% 18.19/18.56
% 18.19/18.56 subsumption: (590) {G8,W12,D2,L3,V4,M3} R(587,2) { ! coll( X, Y, Z ), !
% 18.19/18.56 coll( X, Y, T ), coll( T, Y, X ) }.
% 18.19/18.56 parent0: (60787) {G1,W12,D2,L3,V4,M3} { ! coll( X, Y, Z ), coll( Z, Y, X )
% 18.19/18.56 , ! coll( X, Y, T ) }.
% 18.19/18.56 substitution0:
% 18.19/18.56 X := X
% 18.19/18.56 Y := Y
% 18.19/18.56 Z := T
% 18.19/18.56 T := Z
% 18.19/18.56 end
% 18.19/18.56 permutation0:
% 18.19/18.56 0 ==> 1
% 18.19/18.56 1 ==> 2
% 18.19/18.56 2 ==> 0
% 18.19/18.56 end
% 18.19/18.56
% 18.19/18.56 factor: (60790) {G8,W8,D2,L2,V3,M2} { ! coll( X, Y, Z ), coll( Z, Y, X )
% 18.19/18.56 }.
% 18.19/18.56 parent0[0, 1]: (590) {G8,W12,D2,L3,V4,M3} R(587,2) { ! coll( X, Y, Z ), !
% 18.19/18.56 coll( X, Y, T ), coll( T, Y, X ) }.
% 18.19/18.56 substitution0:
% 18.19/18.56 X := X
% 18.19/18.56 Y := Y
% 18.19/18.56 Z := Z
% 18.19/18.56 T := Z
% 18.19/18.56 end
% 18.19/18.56
% 18.19/18.56 subsumption: (591) {G9,W8,D2,L2,V3,M2} F(590) { ! coll( X, Y, Z ), coll( Z
% 18.19/18.56 , Y, X ) }.
% 18.19/18.56 parent0: (60790) {G8,W8,D2,L2,V3,M2} { ! coll( X, Y, Z ), coll( Z, Y, X )
% 18.19/18.56 }.
% 18.19/18.56 substitution0:
% 18.19/18.56 X := X
% 18.19/18.56 Y := Y
% 18.19/18.56 Z := Z
% 18.19/18.56 end
% 18.19/18.56 permutation0:
% 18.19/18.56 0 ==> 0
% 18.19/18.56 1 ==> 1
% 18.19/18.56 end
% 18.19/18.56
% 18.19/18.56 resolution: (60791) {G7,W8,D2,L2,V3,M2} { coll( Y, Y, X ), ! coll( Z, Y, X
% 18.19/18.56 ) }.
% 18.19/18.56 parent0[0]: (591) {G9,W8,D2,L2,V3,M2} F(590) { ! coll( X, Y, Z ), coll( Z,
% 18.19/18.56 Y, X ) }.
% 18.19/18.56 parent1[0]: (582) {G6,W8,D2,L2,V3,M2} R(577,1) { coll( X, Y, Y ), ! coll( Z
% 18.19/18.56 , Y, X ) }.
% 18.19/18.56 substitution0:
% 18.19/18.56 X := X
% 18.19/18.56 Y := Y
% 18.19/18.56 Z := Y
% 18.19/18.56 end
% 18.19/18.56 substitution1:
% 18.19/18.56 X := X
% 18.19/18.56 Y := Y
% 18.19/18.56 Z := Z
% 18.19/18.56 end
% 18.19/18.56
% 18.19/18.56 subsumption: (597) {G10,W8,D2,L2,V3,M2} R(591,582) { coll( X, X, Y ), !
% 18.19/18.56 coll( Z, X, Y ) }.
% 18.19/18.56 parent0: (60791) {G7,W8,D2,L2,V3,M2} { coll( Y, Y, X ), ! coll( Z, Y, X )
% 18.19/18.56 }.
% 18.19/18.56 substitution0:
% 18.19/18.56 X := Y
% 18.19/18.56 Y := X
% 18.19/18.56 Z := Z
% 18.19/18.56 end
% 18.19/18.56 permutation0:
% 18.19/18.56 0 ==> 0
% 18.19/18.56 1 ==> 1
% 18.19/18.56 end
% 18.19/18.56
% 18.19/18.56 resolution: (60792) {G1,W14,D2,L2,V6,M2} { eqangle( Z, T, X, Y, Z, T, U, W
% 18.19/18.56 ), ! para( X, Y, U, W ) }.
% 18.19/18.56 parent0[0]: (18) {G0,W18,D2,L2,V8,M2} I { ! eqangle( X, Y, Z, T, U, W, V0,
% 18.19/18.56 V1 ), eqangle( Z, T, X, Y, V0, V1, U, W ) }.
% 18.19/18.56 parent1[1]: (39) {G0,W14,D2,L2,V6,M2} I { ! para( X, Y, Z, T ), eqangle( X
% 18.19/18.56 , Y, U, W, Z, T, U, W ) }.
% 18.19/18.56 substitution0:
% 18.19/18.56 X := X
% 18.19/18.56 Y := Y
% 18.19/18.56 Z := Z
% 18.19/18.56 T := T
% 18.19/18.56 U := U
% 18.19/18.56 W := W
% 18.19/18.56 V0 := Z
% 18.19/18.56 V1 := T
% 18.19/18.56 end
% 18.19/18.56 substitution1:
% 18.19/18.56 X := X
% 18.19/18.56 Y := Y
% 18.19/18.56 Z := U
% 18.19/18.56 T := W
% 18.19/18.56 U := Z
% 18.19/18.56 W := T
% 18.19/18.56 end
% 18.19/18.56
% 18.19/18.56 subsumption: (715) {G1,W14,D2,L2,V6,M2} R(39,18) { ! para( X, Y, Z, T ),
% 18.19/18.56 eqangle( U, W, X, Y, U, W, Z, T ) }.
% 18.19/18.56 parent0: (60792) {G1,W14,D2,L2,V6,M2} { eqangle( Z, T, X, Y, Z, T, U, W )
% 18.19/18.56 , ! para( X, Y, U, W ) }.
% 18.19/18.56 substitution0:
% 18.19/18.56 X := X
% 18.19/18.56 Y := Y
% 18.19/18.56 Z := U
% 18.19/18.56 T := W
% 18.19/18.56 U := Z
% 18.19/18.56 W := T
% 18.19/18.56 end
% 18.19/18.56 permutation0:
% 18.19/18.56 0 ==> 1
% 18.19/18.56 1 ==> 0
% 18.19/18.56 end
% 18.19/18.56
% 18.19/18.56 resolution: (60793) {G1,W18,D2,L3,V4,M3} { ! coll( X, T, Z ), cyclic( Y, Z
% 18.19/18.56 , X, T ), ! eqangle( T, Y, T, Z, X, Y, X, Z ) }.
% 18.19/18.56 parent0[0]: (42) {G0,W18,D2,L3,V4,M3} I { ! eqangle( Z, X, Z, Y, T, X, T, Y
% 18.19/18.56 ), ! coll( Z, T, Y ), cyclic( X, Y, Z, T ) }.
% 18.19/18.56 parent1[1]: (19) {G0,W18,D2,L2,V8,M2} I { ! eqangle( X, Y, Z, T, U, W, V0,
% 18.19/18.56 V1 ), eqangle( U, W, V0, V1, X, Y, Z, T ) }.
% 18.19/18.56 substitution0:
% 18.19/18.56 X := Y
% 18.19/18.56 Y := Z
% 18.19/18.56 Z := X
% 18.19/18.56 T := T
% 18.19/18.56 end
% 18.19/18.56 substitution1:
% 18.19/18.56 X := T
% 18.19/18.56 Y := Y
% 18.19/18.56 Z := T
% 18.19/18.56 T := Z
% 18.19/18.56 U := X
% 18.19/18.56 W := Y
% 18.19/18.56 V0 := X
% 18.19/18.56 V1 := Z
% 18.19/18.56 end
% 18.19/18.56
% 18.19/18.56 subsumption: (842) {G1,W18,D2,L3,V4,M3} R(42,19) { ! coll( X, Y, Z ),
% 18.19/18.56 cyclic( T, Z, X, Y ), ! eqangle( Y, T, Y, Z, X, T, X, Z ) }.
% 18.19/18.56 parent0: (60793) {G1,W18,D2,L3,V4,M3} { ! coll( X, T, Z ), cyclic( Y, Z, X
% 18.19/18.56 , T ), ! eqangle( T, Y, T, Z, X, Y, X, Z ) }.
% 18.19/18.56 substitution0:
% 18.19/18.56 X := X
% 18.19/18.56 Y := T
% 18.19/18.56 Z := Z
% 18.19/18.56 T := Y
% 18.19/18.56 end
% 18.19/18.56 permutation0:
% 18.19/18.56 0 ==> 0
% 18.19/18.56 1 ==> 1
% 18.19/18.56 2 ==> 2
% 18.19/18.56 end
% 18.19/18.56
% 18.19/18.56 resolution: (60794) {G1,W25,D2,L5,V4,M5} { ! cyclic( X, Y, Z, X ), !
% 18.19/18.56 cyclic( X, Y, Z, Y ), ! cyclic( X, Y, Z, T ), cong( X, Y, X, Y ), !
% 18.19/18.56 cyclic( X, Y, Z, T ) }.
% 18.19/18.56 parent0[3]: (43) {G0,W29,D2,L5,V6,M5} I { ! cyclic( X, Y, U, Z ), ! cyclic
% 18.19/18.56 ( X, Y, U, T ), ! cyclic( X, Y, U, W ), ! eqangle( U, X, U, Y, W, Z, W, T
% 18.19/18.56 ), cong( X, Y, Z, T ) }.
% 18.19/18.56 parent1[1]: (40) {G0,W14,D2,L2,V4,M2} I { ! cyclic( X, Y, Z, T ), eqangle(
% 18.19/18.56 Z, X, Z, Y, T, X, T, Y ) }.
% 18.19/18.56 substitution0:
% 18.19/18.56 X := X
% 18.19/18.56 Y := Y
% 18.19/18.56 Z := X
% 18.19/18.56 T := Y
% 18.19/18.56 U := Z
% 18.19/18.56 W := T
% 18.19/18.56 end
% 18.19/18.56 substitution1:
% 18.19/18.56 X := X
% 18.19/18.56 Y := Y
% 18.19/18.56 Z := Z
% 18.19/18.56 T := T
% 18.19/18.56 end
% 18.19/18.56
% 18.19/18.56 factor: (60796) {G1,W20,D2,L4,V3,M4} { ! cyclic( X, Y, Z, X ), ! cyclic( X
% 18.19/18.56 , Y, Z, Y ), cong( X, Y, X, Y ), ! cyclic( X, Y, Z, X ) }.
% 18.19/18.56 parent0[0, 2]: (60794) {G1,W25,D2,L5,V4,M5} { ! cyclic( X, Y, Z, X ), !
% 18.19/18.56 cyclic( X, Y, Z, Y ), ! cyclic( X, Y, Z, T ), cong( X, Y, X, Y ), !
% 18.19/18.56 cyclic( X, Y, Z, T ) }.
% 18.19/18.56 substitution0:
% 18.19/18.56 X := X
% 18.19/18.56 Y := Y
% 18.19/18.56 Z := Z
% 18.19/18.56 T := X
% 18.19/18.56 end
% 18.19/18.56
% 18.19/18.56 subsumption: (933) {G1,W20,D2,L4,V4,M4} R(43,40);f { ! cyclic( X, Y, Z, X )
% 18.19/18.56 , ! cyclic( X, Y, Z, Y ), ! cyclic( X, Y, Z, T ), cong( X, Y, X, Y ) }.
% 18.19/18.56 parent0: (60796) {G1,W20,D2,L4,V3,M4} { ! cyclic( X, Y, Z, X ), ! cyclic(
% 18.19/18.56 X, Y, Z, Y ), cong( X, Y, X, Y ), ! cyclic( X, Y, Z, X ) }.
% 18.19/18.56 substitution0:
% 18.19/18.56 X := X
% 18.19/18.56 Y := Y
% 18.19/18.56 Z := Z
% 18.19/18.56 end
% 18.19/18.56 permutation0:
% 18.19/18.56 0 ==> 0
% 18.19/18.56 1 ==> 1
% 18.19/18.56 2 ==> 3
% 18.19/18.56 3 ==> 0
% 18.19/18.56 end
% 18.19/18.56
% 18.19/18.56 factor: (60801) {G1,W15,D2,L3,V3,M3} { ! cyclic( X, Y, Z, X ), ! cyclic( X
% 18.19/18.56 , Y, Z, Y ), cong( X, Y, X, Y ) }.
% 18.19/18.56 parent0[0, 2]: (933) {G1,W20,D2,L4,V4,M4} R(43,40);f { ! cyclic( X, Y, Z, X
% 18.19/18.56 ), ! cyclic( X, Y, Z, Y ), ! cyclic( X, Y, Z, T ), cong( X, Y, X, Y )
% 18.19/18.56 }.
% 18.19/18.56 substitution0:
% 18.19/18.56 X := X
% 18.19/18.56 Y := Y
% 18.19/18.56 Z := Z
% 18.19/18.56 T := X
% 18.19/18.56 end
% 18.19/18.56
% 18.19/18.56 subsumption: (965) {G2,W15,D2,L3,V3,M3} F(933) { ! cyclic( X, Y, Z, X ), !
% 18.19/18.56 cyclic( X, Y, Z, Y ), cong( X, Y, X, Y ) }.
% 18.19/18.56 parent0: (60801) {G1,W15,D2,L3,V3,M3} { ! cyclic( X, Y, Z, X ), ! cyclic(
% 18.19/18.56 X, Y, Z, Y ), cong( X, Y, X, Y ) }.
% 18.19/18.56 substitution0:
% 18.19/18.56 X := X
% 18.19/18.56 Y := Y
% 18.19/18.56 Z := Z
% 18.19/18.56 end
% 18.19/18.56 permutation0:
% 18.19/18.56 0 ==> 0
% 18.19/18.56 1 ==> 1
% 18.19/18.56 2 ==> 2
% 18.19/18.56 end
% 18.19/18.56
% 18.19/18.56 resolution: (60803) {G1,W8,D2,L2,V3,M2} { coll( X, X, Y ), ! alpha1( Y, T
% 18.19/18.56 , X ) }.
% 18.19/18.56 parent0[1]: (597) {G10,W8,D2,L2,V3,M2} R(591,582) { coll( X, X, Y ), ! coll
% 18.19/18.56 ( Z, X, Y ) }.
% 18.19/18.56 parent1[1]: (97) {G0,W11,D3,L2,V4,M2} I { ! alpha1( X, Y, Z ), coll( skol11
% 18.19/18.56 ( X, T, Z ), Z, X ) }.
% 18.19/18.56 substitution0:
% 18.19/18.56 X := X
% 18.19/18.56 Y := Y
% 18.19/18.56 Z := skol11( Y, Z, X )
% 18.19/18.56 end
% 18.19/18.56 substitution1:
% 18.19/18.56 X := Y
% 18.19/18.56 Y := T
% 18.19/18.56 Z := X
% 18.19/18.56 T := Z
% 18.19/18.56 end
% 18.19/18.56
% 18.19/18.56 subsumption: (4329) {G11,W8,D2,L2,V3,M2} R(97,597) { ! alpha1( X, Y, Z ),
% 18.19/18.56 coll( Z, Z, X ) }.
% 18.19/18.56 parent0: (60803) {G1,W8,D2,L2,V3,M2} { coll( X, X, Y ), ! alpha1( Y, T, X
% 18.19/18.56 ) }.
% 18.19/18.56 substitution0:
% 18.19/18.56 X := Z
% 18.19/18.56 Y := X
% 18.19/18.56 Z := T
% 18.19/18.56 T := Y
% 18.19/18.56 end
% 18.19/18.56 permutation0:
% 18.19/18.56 0 ==> 1
% 18.19/18.56 1 ==> 0
% 18.19/18.56 end
% 18.19/18.56
% 18.19/18.56 resolution: (60804) {G1,W7,D3,L1,V0,M1} { perp( skol12( skol25, skol28 ),
% 18.19/18.56 skol25, skol25, skol28 ) }.
% 18.19/18.56 parent0[0]: (100) {G0,W12,D3,L2,V4,M2} I { ! circle( Y, X, Z, T ), perp(
% 18.19/18.56 skol12( X, Y ), X, X, Y ) }.
% 18.19/18.56 parent1[0]: (117) {G0,W5,D2,L1,V0,M1} I { circle( skol28, skol25, skol29,
% 18.19/18.56 skol30 ) }.
% 18.19/18.56 substitution0:
% 18.19/18.56 X := skol25
% 18.19/18.56 Y := skol28
% 18.19/18.56 Z := skol29
% 18.19/18.56 T := skol30
% 18.19/18.56 end
% 18.19/18.56 substitution1:
% 18.19/18.56 end
% 18.19/18.56
% 18.19/18.56 subsumption: (4828) {G1,W7,D3,L1,V0,M1} R(100,117) { perp( skol12( skol25,
% 18.19/18.56 skol28 ), skol25, skol25, skol28 ) }.
% 18.19/18.56 parent0: (60804) {G1,W7,D3,L1,V0,M1} { perp( skol12( skol25, skol28 ),
% 18.19/18.56 skol25, skol25, skol28 ) }.
% 18.19/18.56 substitution0:
% 18.19/18.56 end
% 18.19/18.56 permutation0:
% 18.19/18.56 0 ==> 0
% 18.19/18.56 end
% 18.19/18.56
% 18.19/18.56 resolution: (60805) {G1,W7,D3,L1,V0,M1} { perp( skol25, skol28, skol12(
% 18.19/18.56 skol25, skol28 ), skol25 ) }.
% 18.19/18.56 parent0[0]: (7) {G0,W10,D2,L2,V4,M2} I { ! perp( X, Y, Z, T ), perp( Z, T,
% 18.19/18.56 X, Y ) }.
% 18.19/18.56 parent1[0]: (4828) {G1,W7,D3,L1,V0,M1} R(100,117) { perp( skol12( skol25,
% 18.19/18.56 skol28 ), skol25, skol25, skol28 ) }.
% 18.19/18.56 substitution0:
% 18.19/18.56 X := skol12( skol25, skol28 )
% 18.19/18.56 Y := skol25
% 18.19/18.56 Z := skol25
% 18.19/18.56 T := skol28
% 18.19/18.56 end
% 18.19/18.56 substitution1:
% 18.19/18.56 end
% 18.19/18.56
% 18.19/18.56 subsumption: (7365) {G2,W7,D3,L1,V0,M1} R(4828,7) { perp( skol25, skol28,
% 18.19/18.56 skol12( skol25, skol28 ), skol25 ) }.
% 18.19/18.56 parent0: (60805) {G1,W7,D3,L1,V0,M1} { perp( skol25, skol28, skol12(
% 18.19/18.56 skol25, skol28 ), skol25 ) }.
% 18.19/18.56 substitution0:
% 18.19/18.56 end
% 18.19/18.56 permutation0:
% 18.19/18.56 0 ==> 0
% 18.19/18.56 end
% 18.19/18.56
% 18.19/18.56 resolution: (60806) {G1,W7,D3,L1,V0,M1} { perp( skol25, skol28, skol25,
% 18.19/18.56 skol12( skol25, skol28 ) ) }.
% 18.19/18.56 parent0[0]: (6) {G0,W10,D2,L2,V4,M2} I { ! perp( X, Y, Z, T ), perp( X, Y,
% 18.19/18.56 T, Z ) }.
% 18.19/18.56 parent1[0]: (7365) {G2,W7,D3,L1,V0,M1} R(4828,7) { perp( skol25, skol28,
% 18.19/18.56 skol12( skol25, skol28 ), skol25 ) }.
% 18.19/18.56 substitution0:
% 18.19/18.56 X := skol25
% 18.19/18.56 Y := skol28
% 18.19/18.56 Z := skol12( skol25, skol28 )
% 18.19/18.56 T := skol25
% 18.19/18.56 end
% 18.19/18.56 substitution1:
% 18.19/18.56 end
% 18.19/18.56
% 18.19/18.56 subsumption: (7380) {G3,W7,D3,L1,V0,M1} R(7365,6) { perp( skol25, skol28,
% 18.19/18.56 skol25, skol12( skol25, skol28 ) ) }.
% 18.19/18.56 parent0: (60806) {G1,W7,D3,L1,V0,M1} { perp( skol25, skol28, skol25,
% 18.19/18.56 skol12( skol25, skol28 ) ) }.
% 18.19/18.56 substitution0:
% 18.19/18.56 end
% 18.19/18.56 permutation0:
% 18.19/18.56 0 ==> 0
% 18.19/18.56 end
% 18.19/18.56
% 18.19/18.56 resolution: (60807) {G1,W7,D3,L1,V0,M1} { perp( skol25, skol12( skol25,
% 18.19/18.56 skol28 ), skol25, skol28 ) }.
% 18.19/18.56 parent0[0]: (7) {G0,W10,D2,L2,V4,M2} I { ! perp( X, Y, Z, T ), perp( Z, T,
% 18.19/18.56 X, Y ) }.
% 18.19/18.56 parent1[0]: (7380) {G3,W7,D3,L1,V0,M1} R(7365,6) { perp( skol25, skol28,
% 18.19/18.56 skol25, skol12( skol25, skol28 ) ) }.
% 18.19/18.56 substitution0:
% 18.19/18.56 X := skol25
% 18.19/18.56 Y := skol28
% 18.19/18.56 Z := skol25
% 18.19/18.56 T := skol12( skol25, skol28 )
% 18.19/18.56 end
% 18.19/18.56 substitution1:
% 18.19/18.56 end
% 18.19/18.56
% 18.19/18.56 subsumption: (7390) {G4,W7,D3,L1,V0,M1} R(7380,7) { perp( skol25, skol12(
% 18.19/18.56 skol25, skol28 ), skol25, skol28 ) }.
% 18.19/18.56 parent0: (60807) {G1,W7,D3,L1,V0,M1} { perp( skol25, skol12( skol25,
% 18.19/18.56 skol28 ), skol25, skol28 ) }.
% 18.19/18.56 substitution0:
% 18.19/18.56 end
% 18.19/18.56 permutation0:
% 18.19/18.56 0 ==> 0
% 18.19/18.56 end
% 18.19/18.56
% 18.19/18.56 resolution: (60808) {G1,W11,D3,L2,V0,M2} { ! perp( skol25, skol12( skol25
% 18.19/18.56 , skol28 ), skol25, skol28 ), alpha1( skol25, skol25, skol28 ) }.
% 18.19/18.56 parent0[0]: (96) {G0,W14,D2,L3,V4,M3} I { ! perp( X, T, Y, Z ), ! perp( Y,
% 18.19/18.56 T, X, Z ), alpha1( X, Y, Z ) }.
% 18.19/18.56 parent1[0]: (7390) {G4,W7,D3,L1,V0,M1} R(7380,7) { perp( skol25, skol12(
% 18.19/18.56 skol25, skol28 ), skol25, skol28 ) }.
% 18.19/18.56 substitution0:
% 18.19/18.56 X := skol25
% 18.19/18.56 Y := skol25
% 18.19/18.56 Z := skol28
% 18.19/18.56 T := skol12( skol25, skol28 )
% 18.19/18.56 end
% 18.19/18.56 substitution1:
% 18.19/18.56 end
% 18.19/18.56
% 18.19/18.56 resolution: (60809) {G2,W4,D2,L1,V0,M1} { alpha1( skol25, skol25, skol28 )
% 18.19/18.56 }.
% 18.19/18.56 parent0[0]: (60808) {G1,W11,D3,L2,V0,M2} { ! perp( skol25, skol12( skol25
% 18.19/18.56 , skol28 ), skol25, skol28 ), alpha1( skol25, skol25, skol28 ) }.
% 18.19/18.56 parent1[0]: (7390) {G4,W7,D3,L1,V0,M1} R(7380,7) { perp( skol25, skol12(
% 18.19/18.56 skol25, skol28 ), skol25, skol28 ) }.
% 18.19/18.56 substitution0:
% 18.19/18.56 end
% 18.19/18.56 substitution1:
% 18.19/18.56 end
% 18.19/18.56
% 18.19/18.56 subsumption: (7421) {G5,W4,D2,L1,V0,M1} R(7390,96);r(7390) { alpha1( skol25
% 18.19/18.56 , skol25, skol28 ) }.
% 18.19/18.56 parent0: (60809) {G2,W4,D2,L1,V0,M1} { alpha1( skol25, skol25, skol28 )
% 18.19/18.56 }.
% 18.19/18.56 substitution0:
% 18.19/18.56 end
% 18.19/18.56 permutation0:
% 18.19/18.56 0 ==> 0
% 18.19/18.56 end
% 18.19/18.56
% 18.19/18.56 resolution: (60810) {G1,W7,D3,L1,V0,M1} { perp( skol25, skol12( skol25,
% 18.19/18.56 skol28 ), skol28, skol25 ) }.
% 18.19/18.56 parent0[0]: (6) {G0,W10,D2,L2,V4,M2} I { ! perp( X, Y, Z, T ), perp( X, Y,
% 18.19/18.56 T, Z ) }.
% 18.19/18.56 parent1[0]: (7390) {G4,W7,D3,L1,V0,M1} R(7380,7) { perp( skol25, skol12(
% 18.19/18.56 skol25, skol28 ), skol25, skol28 ) }.
% 18.19/18.56 substitution0:
% 18.19/18.56 X := skol25
% 18.19/18.56 Y := skol12( skol25, skol28 )
% 18.19/18.56 Z := skol25
% 18.19/18.56 T := skol28
% 18.19/18.56 end
% 18.19/18.56 substitution1:
% 18.19/18.56 end
% 18.19/18.56
% 18.19/18.56 subsumption: (7429) {G5,W7,D3,L1,V0,M1} R(7390,6) { perp( skol25, skol12(
% 18.19/18.56 skol25, skol28 ), skol28, skol25 ) }.
% 18.19/18.56 parent0: (60810) {G1,W7,D3,L1,V0,M1} { perp( skol25, skol12( skol25,
% 18.19/18.56 skol28 ), skol28, skol25 ) }.
% 18.19/18.56 substitution0:
% 18.19/18.56 end
% 18.19/18.56 permutation0:
% 18.19/18.56 0 ==> 0
% 18.19/18.56 end
% 18.19/18.56
% 18.19/18.56 resolution: (60811) {G6,W4,D2,L1,V0,M1} { coll( skol28, skol28, skol25 )
% 18.19/18.56 }.
% 18.19/18.56 parent0[0]: (4329) {G11,W8,D2,L2,V3,M2} R(97,597) { ! alpha1( X, Y, Z ),
% 18.19/18.56 coll( Z, Z, X ) }.
% 18.19/18.56 parent1[0]: (7421) {G5,W4,D2,L1,V0,M1} R(7390,96);r(7390) { alpha1( skol25
% 18.19/18.56 , skol25, skol28 ) }.
% 18.19/18.56 substitution0:
% 18.19/18.56 X := skol25
% 18.19/18.56 Y := skol25
% 18.19/18.56 Z := skol28
% 18.19/18.56 end
% 18.19/18.56 substitution1:
% 18.19/18.56 end
% 18.19/18.56
% 18.19/18.56 subsumption: (7434) {G12,W4,D2,L1,V0,M1} R(7421,4329) { coll( skol28,
% 18.19/18.56 skol28, skol25 ) }.
% 18.19/18.56 parent0: (60811) {G6,W4,D2,L1,V0,M1} { coll( skol28, skol28, skol25 ) }.
% 18.19/18.56 substitution0:
% 18.19/18.56 end
% 18.19/18.56 permutation0:
% 18.19/18.56 0 ==> 0
% 18.19/18.56 end
% 18.19/18.56
% 18.19/18.56 resolution: (60812) {G1,W7,D3,L1,V0,M1} { perp( skol28, skol25, skol25,
% 18.19/18.56 skol12( skol25, skol28 ) ) }.
% 18.19/18.56 parent0[0]: (7) {G0,W10,D2,L2,V4,M2} I { ! perp( X, Y, Z, T ), perp( Z, T,
% 18.19/18.56 X, Y ) }.
% 18.19/18.56 parent1[0]: (7429) {G5,W7,D3,L1,V0,M1} R(7390,6) { perp( skol25, skol12(
% 18.19/18.56 skol25, skol28 ), skol28, skol25 ) }.
% 18.19/18.56 substitution0:
% 18.19/18.56 X := skol25
% 18.19/18.56 Y := skol12( skol25, skol28 )
% 18.19/18.56 Z := skol28
% 18.19/18.56 T := skol25
% 18.19/18.56 end
% 18.19/18.56 substitution1:
% 18.19/18.56 end
% 18.19/18.56
% 18.19/18.56 subsumption: (7665) {G6,W7,D3,L1,V0,M1} R(7429,7) { perp( skol28, skol25,
% 18.19/18.56 skol25, skol12( skol25, skol28 ) ) }.
% 18.19/18.56 parent0: (60812) {G1,W7,D3,L1,V0,M1} { perp( skol28, skol25, skol25,
% 18.19/18.56 skol12( skol25, skol28 ) ) }.
% 18.19/18.56 substitution0:
% 18.19/18.56 end
% 18.19/18.56 permutation0:
% 18.19/18.56 0 ==> 0
% 18.19/18.56 end
% 18.19/18.56
% 18.19/18.56 resolution: (60813) {G1,W7,D3,L1,V0,M1} { perp( skol28, skol25, skol12(
% 18.19/18.56 skol25, skol28 ), skol25 ) }.
% 18.19/18.56 parent0[0]: (6) {G0,W10,D2,L2,V4,M2} I { ! perp( X, Y, Z, T ), perp( X, Y,
% 18.19/18.56 T, Z ) }.
% 18.19/18.56 parent1[0]: (7665) {G6,W7,D3,L1,V0,M1} R(7429,7) { perp( skol28, skol25,
% 18.19/18.56 skol25, skol12( skol25, skol28 ) ) }.
% 18.19/18.56 substitution0:
% 18.19/18.56 X := skol28
% 18.19/18.56 Y := skol25
% 18.19/18.56 Z := skol25
% 18.19/18.56 T := skol12( skol25, skol28 )
% 18.19/18.56 end
% 18.19/18.56 substitution1:
% 18.19/18.56 end
% 18.19/18.56
% 18.19/18.56 subsumption: (7679) {G7,W7,D3,L1,V0,M1} R(7665,6) { perp( skol28, skol25,
% 18.19/18.56 skol12( skol25, skol28 ), skol25 ) }.
% 18.19/18.56 parent0: (60813) {G1,W7,D3,L1,V0,M1} { perp( skol28, skol25, skol12(
% 18.19/18.56 skol25, skol28 ), skol25 ) }.
% 18.19/18.56 substitution0:
% 18.19/18.56 end
% 18.19/18.56 permutation0:
% 18.19/18.56 0 ==> 0
% 18.19/18.56 end
% 18.19/18.56
% 18.19/18.56 resolution: (60814) {G3,W5,D2,L1,V0,M1} { para( skol28, skol25, skol28,
% 18.19/18.56 skol25 ) }.
% 18.19/18.56 parent0[0]: (273) {G2,W10,D2,L2,V4,M2} F(265) { ! perp( X, Y, Z, T ), para
% 18.19/18.56 ( X, Y, X, Y ) }.
% 18.19/18.56 parent1[0]: (7679) {G7,W7,D3,L1,V0,M1} R(7665,6) { perp( skol28, skol25,
% 18.19/18.56 skol12( skol25, skol28 ), skol25 ) }.
% 18.19/18.56 substitution0:
% 18.19/18.56 X := skol28
% 18.19/18.56 Y := skol25
% 18.19/18.56 Z := skol12( skol25, skol28 )
% 18.19/18.56 T := skol25
% 18.19/18.56 end
% 18.19/18.56 substitution1:
% 18.19/18.56 end
% 18.19/18.56
% 18.19/18.56 subsumption: (18636) {G8,W5,D2,L1,V0,M1} R(273,7679) { para( skol28, skol25
% 18.19/18.56 , skol28, skol25 ) }.
% 18.19/18.56 parent0: (60814) {G3,W5,D2,L1,V0,M1} { para( skol28, skol25, skol28,
% 18.19/18.56 skol25 ) }.
% 18.19/18.56 substitution0:
% 18.19/18.56 end
% 18.19/18.56 permutation0:
% 18.19/18.56 0 ==> 0
% 18.19/18.56 end
% 18.19/18.56
% 18.19/18.56 resolution: (60815) {G2,W9,D2,L1,V2,M1} { eqangle( X, Y, skol28, skol25, X
% 18.19/18.56 , Y, skol28, skol25 ) }.
% 18.19/18.56 parent0[0]: (715) {G1,W14,D2,L2,V6,M2} R(39,18) { ! para( X, Y, Z, T ),
% 18.19/18.56 eqangle( U, W, X, Y, U, W, Z, T ) }.
% 18.19/18.56 parent1[0]: (18636) {G8,W5,D2,L1,V0,M1} R(273,7679) { para( skol28, skol25
% 18.19/18.56 , skol28, skol25 ) }.
% 18.19/18.56 substitution0:
% 18.19/18.56 X := skol28
% 18.19/18.56 Y := skol25
% 18.19/18.56 Z := skol28
% 18.19/18.56 T := skol25
% 18.19/18.56 U := X
% 18.19/18.56 W := Y
% 18.19/18.56 end
% 18.19/18.56 substitution1:
% 18.19/18.56 end
% 18.19/18.56
% 18.19/18.56 subsumption: (47657) {G9,W9,D2,L1,V2,M1} R(715,18636) { eqangle( X, Y,
% 18.19/18.56 skol28, skol25, X, Y, skol28, skol25 ) }.
% 18.19/18.56 parent0: (60815) {G2,W9,D2,L1,V2,M1} { eqangle( X, Y, skol28, skol25, X, Y
% 18.19/18.56 , skol28, skol25 ) }.
% 18.19/18.56 substitution0:
% 18.19/18.56 X := X
% 18.19/18.56 Y := Y
% 18.19/18.56 end
% 18.19/18.56 permutation0:
% 18.19/18.56 0 ==> 0
% 18.19/18.56 end
% 18.19/18.56
% 18.19/18.56 resolution: (60816) {G2,W14,D2,L2,V1,M2} { cyclic( X, skol25, skol28,
% 18.19/18.56 skol28 ), ! eqangle( skol28, X, skol28, skol25, skol28, X, skol28, skol25
% 18.19/18.56 ) }.
% 18.19/18.56 parent0[0]: (842) {G1,W18,D2,L3,V4,M3} R(42,19) { ! coll( X, Y, Z ), cyclic
% 18.19/18.56 ( T, Z, X, Y ), ! eqangle( Y, T, Y, Z, X, T, X, Z ) }.
% 18.19/18.56 parent1[0]: (7434) {G12,W4,D2,L1,V0,M1} R(7421,4329) { coll( skol28, skol28
% 18.19/18.56 , skol25 ) }.
% 18.19/18.56 substitution0:
% 18.19/18.56 X := skol28
% 18.19/18.56 Y := skol28
% 18.19/18.56 Z := skol25
% 18.19/18.56 T := X
% 18.19/18.56 end
% 18.19/18.56 substitution1:
% 18.19/18.56 end
% 18.19/18.56
% 18.19/18.56 resolution: (60817) {G3,W5,D2,L1,V1,M1} { cyclic( X, skol25, skol28,
% 18.19/18.56 skol28 ) }.
% 18.19/18.56 parent0[1]: (60816) {G2,W14,D2,L2,V1,M2} { cyclic( X, skol25, skol28,
% 18.19/18.56 skol28 ), ! eqangle( skol28, X, skol28, skol25, skol28, X, skol28, skol25
% 18.19/18.56 ) }.
% 18.19/18.56 parent1[0]: (47657) {G9,W9,D2,L1,V2,M1} R(715,18636) { eqangle( X, Y,
% 18.19/18.56 skol28, skol25, X, Y, skol28, skol25 ) }.
% 18.19/18.56 substitution0:
% 18.19/18.56 X := X
% 18.19/18.56 end
% 18.19/18.56 substitution1:
% 18.19/18.56 X := skol28
% 18.19/18.56 Y := X
% 18.19/18.56 end
% 18.19/18.56
% 18.19/18.56 subsumption: (53462) {G13,W5,D2,L1,V1,M1} R(842,7434);r(47657) { cyclic( X
% 18.19/18.56 , skol25, skol28, skol28 ) }.
% 18.19/18.56 parent0: (60817) {G3,W5,D2,L1,V1,M1} { cyclic( X, skol25, skol28, skol28 )
% 18.19/18.56 }.
% 18.19/18.56 substitution0:
% 18.19/18.56 X := X
% 18.19/18.56 end
% 18.19/18.56 permutation0:
% 18.19/18.56 0 ==> 0
% 18.19/18.56 end
% 18.19/18.56
% 18.19/18.56 resolution: (60818) {G2,W5,D2,L1,V1,M1} { cyclic( skol25, X, skol28,
% 18.19/18.56 skol28 ) }.
% 18.19/18.56 parent0[1]: (371) {G1,W10,D2,L2,V4,M2} R(15,13) { cyclic( X, Y, Z, T ), !
% 18.19/18.56 cyclic( Y, X, T, Z ) }.
% 18.19/18.56 parent1[0]: (53462) {G13,W5,D2,L1,V1,M1} R(842,7434);r(47657) { cyclic( X,
% 18.19/18.56 skol25, skol28, skol28 ) }.
% 18.19/18.56 substitution0:
% 18.19/18.56 X := skol25
% 18.19/18.56 Y := X
% 18.19/18.56 Z := skol28
% 18.19/18.56 T := skol28
% 18.19/18.56 end
% 18.19/18.56 substitution1:
% 18.19/18.56 X := X
% 18.19/18.56 end
% 18.19/18.56
% 18.19/18.56 subsumption: (53560) {G14,W5,D2,L1,V1,M1} R(53462,371) { cyclic( skol25, X
% 18.19/18.56 , skol28, skol28 ) }.
% 18.19/18.56 parent0: (60818) {G2,W5,D2,L1,V1,M1} { cyclic( skol25, X, skol28, skol28 )
% 18.19/18.56 }.
% 18.19/18.56 substitution0:
% 18.19/18.56 X := X
% 18.19/18.56 end
% 18.19/18.56 permutation0:
% 18.19/18.56 0 ==> 0
% 18.19/18.56 end
% 18.19/18.56
% 18.19/18.56 resolution: (60819) {G3,W5,D2,L1,V1,M1} { cyclic( skol28, X, skol28,
% 18.19/18.56 skol28 ) }.
% 18.19/18.56 parent0[0]: (398) {G2,W10,D2,L2,V4,M2} F(389) { ! cyclic( X, Y, Z, T ),
% 18.19/18.56 cyclic( Z, Y, T, T ) }.
% 18.19/18.56 parent1[0]: (53560) {G14,W5,D2,L1,V1,M1} R(53462,371) { cyclic( skol25, X,
% 18.19/18.56 skol28, skol28 ) }.
% 18.19/18.56 substitution0:
% 18.19/18.56 X := skol25
% 18.19/18.56 Y := X
% 18.19/18.56 Z := skol28
% 18.19/18.56 T := skol28
% 18.19/18.56 end
% 18.19/18.56 substitution1:
% 18.19/18.56 X := X
% 18.19/18.56 end
% 18.19/18.56
% 18.19/18.56 subsumption: (53572) {G15,W5,D2,L1,V1,M1} R(53560,398) { cyclic( skol28, X
% 18.19/18.56 , skol28, skol28 ) }.
% 18.19/18.56 parent0: (60819) {G3,W5,D2,L1,V1,M1} { cyclic( skol28, X, skol28, skol28 )
% 18.19/18.56 }.
% 18.19/18.56 substitution0:
% 18.19/18.56 X := X
% 18.19/18.56 end
% 18.19/18.56 permutation0:
% 18.19/18.56 0 ==> 0
% 18.19/18.56 end
% 18.19/18.56
% 18.19/18.56 resolution: (60820) {G2,W5,D2,L1,V1,M1} { cyclic( skol28, skol28, X,
% 18.19/18.56 skol28 ) }.
% 18.19/18.56 parent0[1]: (369) {G1,W10,D2,L2,V4,M2} R(15,14) { cyclic( X, Y, Z, T ), !
% 18.19/18.56 cyclic( Y, Z, X, T ) }.
% 18.19/18.56 parent1[0]: (53572) {G15,W5,D2,L1,V1,M1} R(53560,398) { cyclic( skol28, X,
% 18.19/18.56 skol28, skol28 ) }.
% 18.19/18.56 substitution0:
% 18.19/18.56 X := skol28
% 18.19/18.56 Y := skol28
% 18.19/18.56 Z := X
% 18.19/18.56 T := skol28
% 18.19/18.56 end
% 18.19/18.56 substitution1:
% 18.19/18.56 X := X
% 18.19/18.56 end
% 18.19/18.56
% 18.19/18.56 subsumption: (53594) {G16,W5,D2,L1,V1,M1} R(53572,369) { cyclic( skol28,
% 18.19/18.56 skol28, X, skol28 ) }.
% 18.19/18.56 parent0: (60820) {G2,W5,D2,L1,V1,M1} { cyclic( skol28, skol28, X, skol28 )
% 18.19/18.56 }.
% 18.19/18.56 substitution0:
% 18.19/18.56 X := X
% 18.19/18.56 end
% 18.19/18.56 permutation0:
% 18.19/18.56 0 ==> 0
% 18.19/18.56 end
% 18.19/18.56
% 18.19/18.56 resolution: (60821) {G2,W5,D2,L1,V1,M1} { cyclic( skol28, skol28, skol28,
% 18.19/18.56 X ) }.
% 18.19/18.56 parent0[0]: (361) {G1,W10,D2,L2,V4,M2} R(14,13) { ! cyclic( X, Y, Z, T ),
% 18.19/18.56 cyclic( X, Z, T, Y ) }.
% 18.19/18.56 parent1[0]: (53572) {G15,W5,D2,L1,V1,M1} R(53560,398) { cyclic( skol28, X,
% 18.19/18.56 skol28, skol28 ) }.
% 18.19/18.56 substitution0:
% 18.19/18.56 X := skol28
% 18.19/18.56 Y := X
% 18.19/18.56 Z := skol28
% 18.19/18.56 T := skol28
% 18.19/18.56 end
% 18.19/18.56 substitution1:
% 18.19/18.56 X := X
% 18.19/18.56 end
% 18.19/18.56
% 18.19/18.56 subsumption: (53595) {G16,W5,D2,L1,V1,M1} R(53572,361) { cyclic( skol28,
% 18.19/18.56 skol28, skol28, X ) }.
% 18.19/18.56 parent0: (60821) {G2,W5,D2,L1,V1,M1} { cyclic( skol28, skol28, skol28, X )
% 18.19/18.56 }.
% 18.19/18.56 substitution0:
% 18.19/18.56 X := X
% 18.19/18.56 end
% 18.19/18.56 permutation0:
% 18.19/18.56 0 ==> 0
% 18.19/18.56 end
% 18.19/18.56
% 18.19/18.56 resolution: (60823) {G2,W10,D2,L2,V2,M2} { ! cyclic( skol28, skol28,
% 18.19/18.56 skol28, X ), cyclic( skol28, skol28, X, Y ) }.
% 18.19/18.56 parent0[2]: (394) {G1,W15,D2,L3,V5,M3} R(16,13) { ! cyclic( X, Y, Z, T ),
% 18.19/18.56 cyclic( Y, Z, T, U ), ! cyclic( X, Y, U, Z ) }.
% 18.19/18.56 parent1[0]: (53594) {G16,W5,D2,L1,V1,M1} R(53572,369) { cyclic( skol28,
% 18.19/18.56 skol28, X, skol28 ) }.
% 18.19/18.56 substitution0:
% 18.19/18.56 X := skol28
% 18.19/18.56 Y := skol28
% 18.19/18.56 Z := skol28
% 18.19/18.56 T := X
% 18.19/18.56 U := Y
% 18.19/18.56 end
% 18.19/18.56 substitution1:
% 18.19/18.56 X := Y
% 18.19/18.56 end
% 18.19/18.56
% 18.19/18.56 resolution: (60824) {G3,W5,D2,L1,V2,M1} { cyclic( skol28, skol28, X, Y )
% 18.19/18.56 }.
% 18.19/18.56 parent0[0]: (60823) {G2,W10,D2,L2,V2,M2} { ! cyclic( skol28, skol28,
% 18.19/18.56 skol28, X ), cyclic( skol28, skol28, X, Y ) }.
% 18.19/18.56 parent1[0]: (53595) {G16,W5,D2,L1,V1,M1} R(53572,361) { cyclic( skol28,
% 18.19/18.56 skol28, skol28, X ) }.
% 18.19/18.56 substitution0:
% 18.19/18.56 X := X
% 18.19/18.56 Y := Y
% 18.19/18.56 end
% 18.19/18.56 substitution1:
% 18.19/18.56 X := X
% 18.19/18.56 end
% 18.19/18.56
% 18.19/18.56 subsumption: (53600) {G17,W5,D2,L1,V2,M1} R(53594,394);r(53595) { cyclic(
% 18.19/18.56 skol28, skol28, X, Y ) }.
% 18.19/18.56 parent0: (60824) {G3,W5,D2,L1,V2,M1} { cyclic( skol28, skol28, X, Y ) }.
% 18.19/18.56 substitution0:
% 18.19/18.56 X := X
% 18.19/18.56 Y := Y
% 18.19/18.56 end
% 18.19/18.56 permutation0:
% 18.19/18.56 0 ==> 0
% 18.19/18.56 end
% 18.19/18.56
% 18.19/18.56 resolution: (60825) {G2,W10,D2,L2,V3,M2} { cyclic( skol28, X, Y, Z ), !
% 18.19/18.56 cyclic( skol28, skol28, Z, X ) }.
% 18.19/18.56 parent0[0]: (394) {G1,W15,D2,L3,V5,M3} R(16,13) { ! cyclic( X, Y, Z, T ),
% 18.19/18.56 cyclic( Y, Z, T, U ), ! cyclic( X, Y, U, Z ) }.
% 18.19/18.56 parent1[0]: (53600) {G17,W5,D2,L1,V2,M1} R(53594,394);r(53595) { cyclic(
% 18.19/18.56 skol28, skol28, X, Y ) }.
% 18.19/18.56 substitution0:
% 18.19/18.56 X := skol28
% 18.19/18.56 Y := skol28
% 18.19/18.56 Z := X
% 18.19/18.56 T := Y
% 18.19/18.56 U := Z
% 18.19/18.56 end
% 18.19/18.56 substitution1:
% 18.19/18.56 X := X
% 18.19/18.56 Y := Y
% 18.19/18.56 end
% 18.19/18.56
% 18.19/18.56 resolution: (60827) {G3,W5,D2,L1,V3,M1} { cyclic( skol28, X, Y, Z ) }.
% 18.19/18.56 parent0[1]: (60825) {G2,W10,D2,L2,V3,M2} { cyclic( skol28, X, Y, Z ), !
% 18.19/18.56 cyclic( skol28, skol28, Z, X ) }.
% 18.19/18.56 parent1[0]: (53600) {G17,W5,D2,L1,V2,M1} R(53594,394);r(53595) { cyclic(
% 18.19/18.56 skol28, skol28, X, Y ) }.
% 18.19/18.56 substitution0:
% 18.19/18.56 X := X
% 18.19/18.56 Y := Y
% 18.19/18.56 Z := Z
% 18.19/18.56 end
% 18.19/18.56 substitution1:
% 18.19/18.56 X := Z
% 18.19/18.56 Y := X
% 18.19/18.56 end
% 18.19/18.56
% 18.19/18.56 subsumption: (53639) {G18,W5,D2,L1,V3,M1} R(53600,394);r(53600) { cyclic(
% 18.19/18.56 skol28, X, Y, Z ) }.
% 18.19/18.56 parent0: (60827) {G3,W5,D2,L1,V3,M1} { cyclic( skol28, X, Y, Z ) }.
% 18.19/18.56 substitution0:
% 18.19/18.56 X := X
% 18.19/18.56 Y := Y
% 18.19/18.56 Z := Z
% 18.19/18.56 end
% 18.19/18.56 permutation0:
% 18.19/18.56 0 ==> 0
% 18.19/18.56 end
% 18.19/18.56
% 18.19/18.56 resolution: (60828) {G2,W10,D2,L2,V4,M2} { cyclic( X, Y, Z, T ), ! cyclic
% 18.19/18.56 ( skol28, X, T, Y ) }.
% 18.19/18.56 parent0[0]: (394) {G1,W15,D2,L3,V5,M3} R(16,13) { ! cyclic( X, Y, Z, T ),
% 18.19/18.56 cyclic( Y, Z, T, U ), ! cyclic( X, Y, U, Z ) }.
% 18.19/18.56 parent1[0]: (53639) {G18,W5,D2,L1,V3,M1} R(53600,394);r(53600) { cyclic(
% 18.19/18.56 skol28, X, Y, Z ) }.
% 18.19/18.56 substitution0:
% 18.19/18.56 X := skol28
% 18.19/18.56 Y := X
% 18.19/18.56 Z := Y
% 18.19/18.56 T := Z
% 18.19/18.56 U := T
% 18.19/18.56 end
% 18.19/18.56 substitution1:
% 18.19/18.56 X := X
% 18.19/18.56 Y := Y
% 18.19/18.56 Z := Z
% 18.19/18.56 end
% 18.19/18.56
% 18.19/18.56 resolution: (60830) {G3,W5,D2,L1,V4,M1} { cyclic( X, Y, Z, T ) }.
% 18.19/18.56 parent0[1]: (60828) {G2,W10,D2,L2,V4,M2} { cyclic( X, Y, Z, T ), ! cyclic
% 18.19/18.56 ( skol28, X, T, Y ) }.
% 18.19/18.56 parent1[0]: (53639) {G18,W5,D2,L1,V3,M1} R(53600,394);r(53600) { cyclic(
% 18.19/18.56 skol28, X, Y, Z ) }.
% 18.19/18.56 substitution0:
% 18.19/18.56 X := X
% 18.19/18.56 Y := Y
% 18.19/18.56 Z := Z
% 18.19/18.56 T := T
% 18.19/18.56 end
% 18.19/18.56 substitution1:
% 18.19/18.56 X := X
% 18.19/18.56 Y := T
% 18.19/18.56 Z := Y
% 18.19/18.56 end
% 18.19/18.56
% 18.19/18.56 subsumption: (53658) {G19,W5,D2,L1,V4,M1} R(53639,394);r(53639) { cyclic( X
% 18.19/18.56 , Y, Z, T ) }.
% 18.19/18.56 parent0: (60830) {G3,W5,D2,L1,V4,M1} { cyclic( X, Y, Z, T ) }.
% 18.19/18.56 substitution0:
% 18.19/18.56 X := X
% 18.19/18.56 Y := Y
% 18.19/18.56 Z := Z
% 18.19/18.56 T := T
% 18.19/18.56 end
% 18.19/18.56 permutation0:
% 18.19/18.56 0 ==> 0
% 18.19/18.56 end
% 18.19/18.56
% 18.19/18.56 resolution: (60833) {G3,W10,D2,L2,V3,M2} { ! cyclic( X, Y, Z, Y ), cong( X
% 18.19/18.56 , Y, X, Y ) }.
% 18.19/18.56 parent0[0]: (965) {G2,W15,D2,L3,V3,M3} F(933) { ! cyclic( X, Y, Z, X ), !
% 18.19/18.56 cyclic( X, Y, Z, Y ), cong( X, Y, X, Y ) }.
% 18.19/18.56 parent1[0]: (53658) {G19,W5,D2,L1,V4,M1} R(53639,394);r(53639) { cyclic( X
% 18.19/18.56 , Y, Z, T ) }.
% 18.19/18.56 substitution0:
% 18.19/18.56 X := X
% 18.19/18.56 Y := Y
% 18.19/18.56 Z := Z
% 18.19/18.56 end
% 18.19/18.56 substitution1:
% 18.19/18.56 X := X
% 18.19/18.56 Y := Y
% 18.19/18.56 Z := Z
% 18.19/18.56 T := X
% 18.19/18.56 end
% 18.19/18.56
% 18.19/18.56 resolution: (60835) {G4,W5,D2,L1,V2,M1} { cong( X, Y, X, Y ) }.
% 18.19/18.56 parent0[0]: (60833) {G3,W10,D2,L2,V3,M2} { ! cyclic( X, Y, Z, Y ), cong( X
% 18.19/18.56 , Y, X, Y ) }.
% 18.19/18.56 parent1[0]: (53658) {G19,W5,D2,L1,V4,M1} R(53639,394);r(53639) { cyclic( X
% 18.19/18.56 , Y, Z, T ) }.
% 18.19/18.56 substitution0:
% 18.19/18.56 X := X
% 18.19/18.56 Y := Y
% 18.19/18.56 Z := Z
% 18.19/18.56 end
% 18.19/18.56 substitution1:
% 18.19/18.56 X := X
% 18.19/18.56 Y := Y
% 18.19/18.56 Z := Z
% 18.19/18.56 T := Y
% 18.19/18.56 end
% 18.19/18.56
% 18.19/18.56 subsumption: (60021) {G20,W5,D2,L1,V2,M1} S(965);r(53658);r(53658) { cong(
% 18.19/18.56 X, Y, X, Y ) }.
% 18.19/18.56 parent0: (60835) {G4,W5,D2,L1,V2,M1} { cong( X, Y, X, Y ) }.
% 18.19/18.56 substitution0:
% 18.19/18.56 X := X
% 18.19/18.56 Y := Y
% 18.19/18.56 end
% 18.19/18.56 permutation0:
% 18.19/18.56 0 ==> 0
% 18.19/18.56 end
% 18.19/18.56
% 18.19/18.56 resolution: (60836) {G1,W10,D2,L2,V3,M2} { ! cong( X, Z, X, Z ), perp( X,
% 18.19/18.56 X, Y, Z ) }.
% 18.19/18.56 parent0[0]: (56) {G0,W15,D2,L3,V4,M3} I { ! cong( X, Z, Y, Z ), ! cong( X,
% 18.19/18.56 T, Y, T ), perp( X, Y, Z, T ) }.
% 18.19/18.56 parent1[0]: (60021) {G20,W5,D2,L1,V2,M1} S(965);r(53658);r(53658) { cong( X
% 18.19/18.56 , Y, X, Y ) }.
% 18.19/18.56 substitution0:
% 18.19/18.56 X := X
% 18.19/18.56 Y := X
% 18.19/18.56 Z := Y
% 18.19/18.56 T := Z
% 18.19/18.56 end
% 18.19/18.56 substitution1:
% 18.19/18.56 X := X
% 18.19/18.56 Y := Y
% 18.19/18.56 end
% 18.19/18.56
% 18.19/18.56 resolution: (60838) {G2,W5,D2,L1,V3,M1} { perp( X, X, Z, Y ) }.
% 18.19/18.56 parent0[0]: (60836) {G1,W10,D2,L2,V3,M2} { ! cong( X, Z, X, Z ), perp( X,
% 18.19/18.56 X, Y, Z ) }.
% 18.19/18.56 parent1[0]: (60021) {G20,W5,D2,L1,V2,M1} S(965);r(53658);r(53658) { cong( X
% 18.19/18.56 , Y, X, Y ) }.
% 18.19/18.56 substitution0:
% 18.19/18.56 X := X
% 18.19/18.56 Y := Z
% 18.19/18.56 Z := Y
% 18.19/18.56 end
% 18.19/18.56 substitution1:
% 18.19/18.56 X := X
% 18.19/18.56 Y := Y
% 18.19/18.56 end
% 18.19/18.56
% 18.19/18.56 subsumption: (60038) {G21,W5,D2,L1,V3,M1} R(60021,56);r(60021) { perp( X, X
% 18.19/18.56 , Z, Y ) }.
% 18.19/18.56 parent0: (60838) {G2,W5,D2,L1,V3,M1} { perp( X, X, Z, Y ) }.
% 18.19/18.56 substitution0:
% 18.19/18.56 X := X
% 18.19/18.56 Y := Y
% 18.19/18.56 Z := Z
% 18.19/18.56 end
% 18.19/18.56 permutation0:
% 18.19/18.56 0 ==> 0
% 18.19/18.56 end
% 18.19/18.56
% 18.19/18.56 resolution: (60839) {G2,W10,D2,L2,V5,M2} { para( T, U, Y, Z ), ! perp( X,
% 18.19/18.56 X, T, U ) }.
% 18.19/18.56 parent0[0]: (264) {G1,W15,D2,L3,V6,M3} R(8,7) { ! perp( X, Y, Z, T ), para
% 18.19/18.56 ( U, W, Z, T ), ! perp( X, Y, U, W ) }.
% 18.19/18.56 parent1[0]: (60038) {G21,W5,D2,L1,V3,M1} R(60021,56);r(60021) { perp( X, X
% 18.19/18.56 , Z, Y ) }.
% 18.19/18.56 substitution0:
% 18.19/18.56 X := X
% 18.19/18.56 Y := X
% 18.19/18.56 Z := Y
% 18.19/18.56 T := Z
% 18.19/18.56 U := T
% 18.19/18.56 W := U
% 18.19/18.56 end
% 18.19/18.56 substitution1:
% 18.19/18.56 X := X
% 18.19/18.56 Y := Z
% 18.19/18.56 Z := Y
% 18.19/18.56 end
% 18.19/18.56
% 18.19/18.56 resolution: (60841) {G3,W5,D2,L1,V4,M1} { para( X, Y, Z, T ) }.
% 18.19/18.56 parent0[1]: (60839) {G2,W10,D2,L2,V5,M2} { para( T, U, Y, Z ), ! perp( X,
% 18.19/18.56 X, T, U ) }.
% 18.19/18.56 parent1[0]: (60038) {G21,W5,D2,L1,V3,M1} R(60021,56);r(60021) { perp( X, X
% 18.19/18.56 , Z, Y ) }.
% 18.19/18.56 substitution0:
% 18.19/18.56 X := U
% 18.19/18.56 Y := Z
% 18.19/18.56 Z := T
% 18.19/18.56 T := X
% 18.19/18.56 U := Y
% 18.19/18.56 end
% 18.19/18.56 substitution1:
% 18.19/18.56 X := U
% 18.19/18.56 Y := Y
% 18.19/18.56 Z := X
% 18.19/18.56 end
% 18.19/18.56
% 18.19/18.56 subsumption: (60067) {G22,W5,D2,L1,V4,M1} R(60038,264);r(60038) { para( X,
% 18.19/18.56 Y, Z, T ) }.
% 18.19/18.56 parent0: (60841) {G3,W5,D2,L1,V4,M1} { para( X, Y, Z, T ) }.
% 18.19/18.56 substitution0:
% 18.19/18.56 X := X
% 18.19/18.56 Y := Y
% 18.19/18.56 Z := Z
% 18.19/18.56 T := T
% 18.19/18.56 end
% 18.19/18.56 permutation0:
% 18.19/18.56 0 ==> 0
% 18.19/18.56 end
% 18.19/18.56
% 18.19/18.56 resolution: (60842) {G1,W10,D2,L2,V5,M2} { ! para( X, Y, Z, Z ), perp( X,
% 18.19/18.56 Y, T, U ) }.
% 18.19/18.56 parent0[1]: (9) {G0,W15,D2,L3,V6,M3} I { ! para( X, Y, U, W ), ! perp( U, W
% 18.19/18.56 , Z, T ), perp( X, Y, Z, T ) }.
% 18.19/18.56 parent1[0]: (60038) {G21,W5,D2,L1,V3,M1} R(60021,56);r(60021) { perp( X, X
% 18.19/18.56 , Z, Y ) }.
% 18.19/18.56 substitution0:
% 18.19/18.56 X := X
% 18.19/18.56 Y := Y
% 18.19/18.56 Z := T
% 18.19/18.56 T := U
% 18.19/18.56 U := Z
% 18.19/18.56 W := Z
% 18.19/18.56 end
% 18.19/18.56 substitution1:
% 18.19/18.56 X := Z
% 18.19/18.56 Y := U
% 18.19/18.56 Z := T
% 18.19/18.56 end
% 18.19/18.56
% 18.19/18.56 resolution: (60843) {G2,W5,D2,L1,V4,M1} { perp( X, Y, T, U ) }.
% 18.19/18.56 parent0[0]: (60842) {G1,W10,D2,L2,V5,M2} { ! para( X, Y, Z, Z ), perp( X,
% 18.19/18.56 Y, T, U ) }.
% 18.19/18.56 parent1[0]: (60067) {G22,W5,D2,L1,V4,M1} R(60038,264);r(60038) { para( X, Y
% 18.19/18.56 , Z, T ) }.
% 18.19/18.56 substitution0:
% 18.19/18.56 X := X
% 18.19/18.56 Y := Y
% 18.19/18.56 Z := Z
% 18.19/18.56 T := T
% 18.19/18.56 U := U
% 18.19/18.56 end
% 18.19/18.56 substitution1:
% 18.19/18.56 X := X
% 18.19/18.56 Y := Y
% 18.19/18.56 Z := Z
% 18.19/18.56 T := Z
% 18.19/18.56 end
% 18.19/18.56
% 18.19/18.56 subsumption: (60089) {G23,W5,D2,L1,V4,M1} R(60038,9);r(60067) { perp( X, Y
% 18.19/18.56 , T, U ) }.
% 18.19/18.56 parent0: (60843) {G2,W5,D2,L1,V4,M1} { perp( X, Y, T, U ) }.
% 18.19/18.56 substitution0:
% 18.19/18.56 X := X
% 18.19/18.56 Y := Y
% 18.19/18.56 Z := W
% 18.19/18.56 T := T
% 18.19/18.56 U := U
% 18.19/18.56 end
% 18.19/18.56 permutation0:
% 18.19/18.56 0 ==> 0
% 18.19/18.56 end
% 18.19/18.56
% 18.19/18.56 resolution: (60844) {G2,W5,D2,L1,V2,M1} { ! perp( X, Y, skol22, skol20 )
% 18.19/18.56 }.
% 18.19/18.56 parent0[0]: (325) {G1,W10,D2,L2,V2,M2} R(9,127) { ! para( skol23, skol24, X
% 18.19/18.56 , Y ), ! perp( X, Y, skol22, skol20 ) }.
% 18.19/18.56 parent1[0]: (60067) {G22,W5,D2,L1,V4,M1} R(60038,264);r(60038) { para( X, Y
% 18.19/18.56 , Z, T ) }.
% 18.19/18.56 substitution0:
% 18.19/18.56 X := X
% 18.19/18.56 Y := Y
% 18.19/18.56 end
% 18.19/18.56 substitution1:
% 18.19/18.56 X := skol23
% 18.19/18.56 Y := skol24
% 18.19/18.56 Z := X
% 18.19/18.56 T := Y
% 18.19/18.56 end
% 18.19/18.56
% 18.19/18.56 resolution: (60845) {G3,W0,D0,L0,V0,M0} { }.
% 18.19/18.56 parent0[0]: (60844) {G2,W5,D2,L1,V2,M1} { ! perp( X, Y, skol22, skol20 )
% 18.19/18.56 }.
% 18.19/18.56 parent1[0]: (60089) {G23,W5,D2,L1,V4,M1} R(60038,9);r(60067) { perp( X, Y,
% 18.19/18.56 T, U ) }.
% 18.19/18.56 substitution0:
% 18.19/18.56 X := X
% 18.19/18.56 Y := Y
% 18.19/18.56 end
% 18.19/18.56 substitution1:
% 18.19/18.56 X := X
% 18.19/18.56 Y := Y
% 18.19/18.56 Z := Z
% 18.19/18.56 T := skol22
% 18.19/18.56 U := skol20
% 18.19/18.56 end
% 18.19/18.56
% 18.19/18.56 subsumption: (60259) {G24,W0,D0,L0,V0,M0} R(60067,325);r(60089) { }.
% 18.19/18.56 parent0: (60845) {G3,W0,D0,L0,V0,M0} { }.
% 18.19/18.56 substitution0:
% 18.19/18.56 end
% 18.19/18.56 permutation0:
% 18.19/18.56 end
% 18.19/18.56
% 18.19/18.56 Proof check complete!
% 18.19/18.56
% 18.19/18.56 Memory use:
% 18.19/18.56
% 18.19/18.56 space for terms: 821852
% 18.19/18.56 space for clauses: 2567772
% 18.19/18.56
% 18.19/18.56
% 18.19/18.56 clauses generated: 470557
% 18.19/18.56 clauses kept: 60260
% 18.19/18.56 clauses selected: 3150
% 18.19/18.56 clauses deleted: 6673
% 18.19/18.56 clauses inuse deleted: 266
% 18.19/18.56
% 18.19/18.56 subsentry: 24701791
% 18.19/18.56 literals s-matched: 14120107
% 18.19/18.56 literals matched: 7938410
% 18.19/18.56 full subsumption: 2232576
% 18.19/18.56
% 18.19/18.56 checksum: -205153425
% 18.19/18.56
% 18.19/18.56
% 18.19/18.56 Bliksem ended
%------------------------------------------------------------------------------