%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : GEO631+1 : TPTP v8.1.0. Released v7.5.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n032.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 02:55:14 EDT 2022
% Result : Theorem 14.36s 14.81s
% Output : Refutation 14.36s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.09/0.09 % Problem : GEO631+1 : TPTP v8.1.0. Released v7.5.0.
% 0.09/0.10 % Command : bliksem %s
% 0.10/0.29 % Computer : n032.cluster.edu
% 0.10/0.29 % Model : x86_64 x86_64
% 0.10/0.29 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.29 % Memory : 8042.1875MB
% 0.10/0.29 % OS : Linux 3.10.0-693.el7.x86_64
% 0.10/0.29 % CPULimit : 300
% 0.10/0.29 % DateTime : Fri Jun 17 16:26:01 EDT 2022
% 0.10/0.29 % CPUTime :
% 0.53/0.95 *** allocated 10000 integers for termspace/termends
% 0.53/0.95 *** allocated 10000 integers for clauses
% 0.53/0.95 *** allocated 10000 integers for justifications
% 0.53/0.95 Bliksem 1.12
% 0.53/0.95
% 0.53/0.95
% 0.53/0.95 Automatic Strategy Selection
% 0.53/0.95
% 0.53/0.95 *** allocated 15000 integers for termspace/termends
% 0.53/0.95
% 0.53/0.95 Clauses:
% 0.53/0.95
% 0.53/0.95 { ! coll( X, Y, Z ), coll( X, Z, Y ) }.
% 0.53/0.95 { ! coll( X, Y, Z ), coll( Y, X, Z ) }.
% 0.53/0.95 { ! coll( X, T, Y ), ! coll( X, T, Z ), coll( Y, Z, X ) }.
% 0.53/0.95 { ! para( X, Y, Z, T ), para( X, Y, T, Z ) }.
% 0.53/0.95 { ! para( X, Y, Z, T ), para( Z, T, X, Y ) }.
% 0.53/0.95 { ! para( X, Y, U, W ), ! para( U, W, Z, T ), para( X, Y, Z, T ) }.
% 0.53/0.95 { ! perp( X, Y, Z, T ), perp( X, Y, T, Z ) }.
% 0.53/0.95 { ! perp( X, Y, Z, T ), perp( Z, T, X, Y ) }.
% 0.53/0.95 { ! perp( X, Y, U, W ), ! perp( U, W, Z, T ), para( X, Y, Z, T ) }.
% 0.53/0.95 { ! para( X, Y, U, W ), ! perp( U, W, Z, T ), perp( X, Y, Z, T ) }.
% 0.53/0.95 { ! midp( Z, Y, X ), midp( Z, X, Y ) }.
% 0.53/0.95 { ! cong( T, X, T, Y ), ! cong( T, X, T, Z ), circle( T, X, Y, Z ) }.
% 0.53/0.95 { ! cong( U, X, U, Y ), ! cong( U, X, U, Z ), ! cong( U, X, U, T ), cyclic
% 0.53/0.95 ( X, Y, Z, T ) }.
% 0.53/0.95 { ! cyclic( X, Y, Z, T ), cyclic( X, Y, T, Z ) }.
% 0.53/0.95 { ! cyclic( X, Y, Z, T ), cyclic( X, Z, Y, T ) }.
% 0.53/0.95 { ! cyclic( X, Y, Z, T ), cyclic( Y, X, Z, T ) }.
% 0.53/0.95 { ! cyclic( U, X, Y, Z ), ! cyclic( U, X, Y, T ), cyclic( X, Y, Z, T ) }.
% 0.53/0.95 { ! eqangle( X, Y, Z, T, U, W, V0, V1 ), eqangle( Y, X, Z, T, U, W, V0, V1
% 0.53/0.95 ) }.
% 0.53/0.95 { ! eqangle( X, Y, Z, T, U, W, V0, V1 ), eqangle( Z, T, X, Y, V0, V1, U, W
% 0.53/0.95 ) }.
% 0.53/0.95 { ! eqangle( X, Y, Z, T, U, W, V0, V1 ), eqangle( U, W, V0, V1, X, Y, Z, T
% 0.53/0.95 ) }.
% 0.53/0.95 { ! eqangle( X, Y, Z, T, U, W, V0, V1 ), eqangle( X, Y, U, W, Z, T, V0, V1
% 0.53/0.95 ) }.
% 0.53/0.95 { ! eqangle( X, Y, Z, T, V2, V3, V4, V5 ), ! eqangle( V2, V3, V4, V5, U, W
% 0.53/0.95 , V0, V1 ), eqangle( X, Y, Z, T, U, W, V0, V1 ) }.
% 0.53/0.95 { ! cong( X, Y, Z, T ), cong( X, Y, T, Z ) }.
% 0.53/0.95 { ! cong( X, Y, Z, T ), cong( Z, T, X, Y ) }.
% 0.53/0.95 { ! cong( X, Y, U, W ), ! cong( U, W, Z, T ), cong( X, Y, Z, T ) }.
% 0.53/0.95 { ! eqratio( X, Y, Z, T, U, W, V0, V1 ), eqratio( Y, X, Z, T, U, W, V0, V1
% 0.53/0.95 ) }.
% 0.53/0.95 { ! eqratio( X, Y, Z, T, U, W, V0, V1 ), eqratio( Z, T, X, Y, V0, V1, U, W
% 0.53/0.95 ) }.
% 0.53/0.95 { ! eqratio( X, Y, Z, T, U, W, V0, V1 ), eqratio( U, W, V0, V1, X, Y, Z, T
% 0.53/0.95 ) }.
% 0.53/0.95 { ! eqratio( X, Y, Z, T, U, W, V0, V1 ), eqratio( X, Y, U, W, Z, T, V0, V1
% 0.53/0.95 ) }.
% 0.53/0.95 { ! eqratio( X, Y, Z, T, V2, V3, V4, V5 ), ! eqratio( V2, V3, V4, V5, U, W
% 0.53/0.95 , V0, V1 ), eqratio( X, Y, Z, T, U, W, V0, V1 ) }.
% 0.53/0.95 { ! simtri( X, Z, Y, T, W, U ), simtri( X, Y, Z, T, U, W ) }.
% 0.53/0.95 { ! simtri( Y, X, Z, U, T, W ), simtri( X, Y, Z, T, U, W ) }.
% 0.53/0.95 { ! simtri( T, U, W, X, Y, Z ), simtri( X, Y, Z, T, U, W ) }.
% 0.53/0.95 { ! simtri( X, Y, Z, V0, V1, V2 ), ! simtri( V0, V1, V2, T, U, W ), simtri
% 0.53/0.95 ( X, Y, Z, T, U, W ) }.
% 0.53/0.95 { ! contri( X, Z, Y, T, W, U ), contri( X, Y, Z, T, U, W ) }.
% 0.53/0.95 { ! contri( Y, X, Z, U, T, W ), contri( X, Y, Z, T, U, W ) }.
% 0.53/0.95 { ! contri( T, U, W, X, Y, Z ), contri( X, Y, Z, T, U, W ) }.
% 0.53/0.95 { ! contri( X, Y, Z, V0, V1, V2 ), ! contri( V0, V1, V2, T, U, W ), contri
% 0.53/0.95 ( X, Y, Z, T, U, W ) }.
% 0.53/0.95 { ! eqangle( X, Y, U, W, Z, T, U, W ), para( X, Y, Z, T ) }.
% 0.53/0.95 { ! para( X, Y, Z, T ), eqangle( X, Y, U, W, Z, T, U, W ) }.
% 0.53/0.95 { ! cyclic( X, Y, Z, T ), eqangle( Z, X, Z, Y, T, X, T, Y ) }.
% 0.53/0.95 { ! eqangle( Z, X, Z, Y, T, X, T, Y ), coll( Z, T, X ), cyclic( X, Y, Z, T
% 0.53/0.95 ) }.
% 0.53/0.95 { ! eqangle( Z, X, Z, Y, T, X, T, Y ), ! coll( Z, T, Y ), cyclic( X, Y, Z,
% 0.53/0.95 T ) }.
% 0.53/0.95 { ! cyclic( X, Y, U, Z ), ! cyclic( X, Y, U, T ), ! cyclic( X, Y, U, W ), !
% 0.53/0.95 eqangle( U, X, U, Y, W, Z, W, T ), cong( X, Y, Z, T ) }.
% 0.53/0.95 { ! midp( Z, U, X ), ! midp( T, U, Y ), para( Z, T, X, Y ) }.
% 0.53/0.95 { ! midp( U, X, T ), ! para( U, Z, T, Y ), ! coll( Z, X, Y ), midp( Z, X, Y
% 0.53/0.95 ) }.
% 0.53/0.95 { ! cong( Z, X, Z, Y ), eqangle( Z, X, X, Y, X, Y, Z, Y ) }.
% 0.53/0.95 { ! eqangle( Z, X, X, Y, X, Y, Z, Y ), coll( Z, X, Y ), cong( Z, X, Z, Y )
% 0.53/0.95 }.
% 0.53/0.95 { ! circle( U, X, Y, Z ), ! perp( U, X, X, T ), eqangle( X, T, X, Y, Z, X,
% 0.53/0.95 Z, Y ) }.
% 0.53/0.95 { ! circle( Y, X, T, U ), ! eqangle( X, Z, X, T, U, X, U, T ), perp( Y, X,
% 0.53/0.95 X, Z ) }.
% 0.53/0.95 { ! circle( T, X, Y, Z ), ! midp( U, Y, Z ), eqangle( X, Y, X, Z, T, Y, T,
% 0.53/0.95 U ) }.
% 0.53/0.95 { ! circle( U, T, X, Y ), ! coll( Z, X, Y ), ! eqangle( T, X, T, Y, U, X, U
% 0.53/0.95 , Z ), midp( Z, X, Y ) }.
% 0.53/0.95 { ! perp( X, Y, Y, T ), ! midp( Z, X, T ), cong( X, Z, Y, Z ) }.
% 0.53/0.95 { ! circle( T, X, Y, Z ), ! coll( T, X, Z ), perp( X, Y, Y, Z ) }.
% 0.53/0.95 { ! cyclic( X, Y, Z, T ), ! para( X, Y, Z, T ), eqangle( X, T, Z, T, Z, T,
% 0.53/0.95 Z, Y ) }.
% 0.53/0.95 { ! midp( T, X, Y ), ! perp( Z, T, X, Y ), cong( Z, X, Z, Y ) }.
% 0.53/0.95 { ! cong( X, Z, Y, Z ), ! cong( X, T, Y, T ), perp( X, Y, Z, T ) }.
% 0.53/0.95 { ! cong( X, Y, T, Y ), ! cong( X, Z, T, Z ), ! cyclic( X, T, Y, Z ), perp
% 0.53/0.95 ( Y, X, X, Z ) }.
% 0.53/0.95 { ! eqangle( X, Y, Y, Z, T, U, U, W ), ! eqangle( X, Z, Y, Z, T, W, U, W )
% 0.53/0.95 , coll( X, Y, Z ), simtri( X, Y, Z, T, U, W ) }.
% 0.53/0.95 { ! simtri( X, Y, Z, T, U, W ), eqratio( X, Y, X, Z, T, U, T, W ) }.
% 0.53/0.95 { ! simtri( X, Y, Z, T, U, W ), eqangle( X, Y, Y, Z, T, U, U, W ) }.
% 0.53/0.95 { ! simtri( X, Y, Z, T, U, W ), ! cong( X, Y, T, U ), contri( X, Y, Z, T, U
% 0.53/0.95 , W ) }.
% 0.53/0.95 { ! contri( X, Y, U, Z, T, W ), cong( X, Y, Z, T ) }.
% 0.53/0.95 { ! midp( U, X, Y ), ! midp( U, Z, T ), para( X, Z, Y, T ) }.
% 0.53/0.95 { ! midp( Z, T, U ), ! para( T, X, U, Y ), ! para( T, Y, U, X ), midp( Z, X
% 0.53/0.95 , Y ) }.
% 0.53/0.95 { ! para( X, Y, Z, T ), ! coll( U, X, Z ), ! coll( U, Y, T ), eqratio( U, X
% 0.53/0.95 , X, Z, U, Y, Y, T ) }.
% 0.53/0.95 { ! para( X, Y, X, Z ), coll( X, Y, Z ) }.
% 0.53/0.95 { ! cong( X, Y, X, Z ), ! coll( X, Y, Z ), midp( X, Y, Z ) }.
% 0.53/0.95 { ! midp( X, Y, Z ), cong( X, Y, X, Z ) }.
% 0.53/0.95 { ! midp( X, Y, Z ), coll( X, Y, Z ) }.
% 0.53/0.95 { ! midp( U, X, Y ), ! midp( W, Z, T ), eqratio( U, X, X, Y, W, Z, Z, T ) }
% 0.53/0.95 .
% 0.53/0.95 { ! eqangle( X, Y, Z, T, Z, T, X, Y ), para( X, Y, Z, T ), perp( X, Y, Z, T
% 0.53/0.95 ) }.
% 0.53/0.95 { ! eqangle( X, Y, Z, T, Z, T, X, Y ), perp( X, Y, Z, T ), para( X, Y, Z, T
% 0.53/0.95 ) }.
% 0.53/0.95 { ! eqangle( X, Y, Z, T, U, W, V0, V1 ), ! para( U, W, V0, V1 ), para( X, Y
% 0.53/0.95 , Z, T ) }.
% 0.53/0.95 { ! eqangle( X, Y, Z, T, U, W, V0, V1 ), ! perp( U, W, V0, V1 ), perp( X, Y
% 0.53/0.95 , Z, T ) }.
% 0.53/0.95 { ! eqratio( X, Y, Z, T, U, W, V0, V1 ), ! cong( U, W, V0, V1 ), cong( X, Y
% 0.53/0.95 , Z, T ) }.
% 0.53/0.95 { ! perp( Z, Y, Y, X ), ! eqangle( T, Z, Y, Z, Y, Z, X, Z ), coll( skol1( U
% 0.53/0.95 , W, Z, T ), Z, T ) }.
% 0.53/0.95 { ! perp( Z, Y, Y, X ), ! eqangle( T, Z, Y, Z, Y, Z, X, Z ), coll( skol1( X
% 0.53/0.95 , Y, Z, T ), X, Y ) }.
% 0.53/0.95 { ! cong( Z, X, Z, Y ), ! eqangle( X, Z, Z, T, Z, T, Z, Y ), coll( skol2( U
% 0.53/0.95 , W, Z, T ), Z, T ) }.
% 0.53/0.95 { ! cong( Z, X, Z, Y ), ! eqangle( X, Z, Z, T, Z, T, Z, Y ), coll( Y, X,
% 0.53/0.95 skol2( X, Y, Z, T ) ) }.
% 0.53/0.95 { ! perp( Z, T, X, Y ), ! eqangle( X, Z, Z, T, Z, T, Z, Y ), coll( skol3( U
% 0.53/0.95 , W, Z, T ), Z, T ) }.
% 0.53/0.95 { ! perp( Z, T, X, Y ), ! eqangle( X, Z, Z, T, Z, T, Z, Y ), coll( Y, X,
% 0.53/0.95 skol3( X, Y, Z, T ) ) }.
% 0.53/0.95 { ! perp( Z, T, X, Y ), ! cong( Z, X, Z, Y ), coll( skol4( U, W, Z, T ), Z
% 0.53/0.95 , T ) }.
% 0.53/0.95 { ! perp( Z, T, X, Y ), ! cong( Z, X, Z, Y ), coll( Y, X, skol4( X, Y, Z, T
% 0.53/0.95 ) ) }.
% 0.53/0.95 { ! eqangle( X, Z, Y, Z, X, T, Y, U ), coll( X, Y, Z ), cyclic( T, Y, Z,
% 0.53/0.95 skol5( W, Y, Z, T ) ) }.
% 0.53/0.95 { ! eqangle( X, Z, Y, Z, X, T, Y, U ), coll( X, Y, Z ), eqangle( X, Z, Y, Z
% 0.53/0.95 , X, skol5( X, Y, Z, T ), Y, skol5( X, Y, Z, T ) ) }.
% 0.53/0.95 { ! midp( U, X, Y ), ! midp( W, Z, T ), midp( skol6( X, V0, V1, T, V2, V3 )
% 0.53/0.95 , X, T ) }.
% 0.53/0.95 { ! midp( U, X, Y ), ! midp( W, Z, T ), para( skol6( X, V0, Z, T, V1, W ),
% 0.53/0.95 W, X, Z ) }.
% 0.53/0.95 { ! midp( U, X, Y ), ! midp( W, Z, T ), para( skol6( X, Y, Z, T, U, W ), U
% 0.53/0.95 , Y, T ) }.
% 0.53/0.95 { ! midp( Z, X, Y ), ! midp( W, T, U ), ! coll( T, X, Y ), ! coll( U, X, Y
% 0.53/0.95 ), midp( skol7( X, V0 ), X, V0 ) }.
% 0.53/0.95 { ! midp( T, X, U ), ! para( X, W, Z, T ), ! para( X, W, U, Y ), ! coll( W
% 0.53/0.95 , Y, Z ), coll( skol8( V0, V1, Z, T ), T, Z ) }.
% 0.53/0.95 { ! midp( T, X, U ), ! para( X, W, Z, T ), ! para( X, W, U, Y ), ! coll( W
% 0.53/0.95 , Y, Z ), coll( skol8( X, Y, Z, T ), X, Y ) }.
% 0.53/0.95 { ! cong( T, Z, T, U ), ! perp( X, Y, Y, T ), cong( T, Z, T, skol9( W, V0,
% 0.53/0.95 Z, T ) ) }.
% 0.53/0.95 { ! cong( T, Z, T, U ), ! perp( X, Y, Y, T ), cong( Y, Z, Y, skol9( W, Y, Z
% 0.53/0.95 , T ) ) }.
% 0.53/0.95 { ! cong( T, Z, T, U ), ! perp( X, Y, Y, T ), para( skol9( X, Y, Z, T ), Z
% 0.53/0.95 , X, Y ) }.
% 0.53/0.95 { ! perp( X, T, Y, Z ), ! perp( Y, T, X, Z ), coll( skol10( U, Y, Z ), Z, Y
% 0.53/0.95 ) }.
% 0.53/0.95 { ! perp( X, T, Y, Z ), ! perp( Y, T, X, Z ), perp( X, skol10( X, Y, Z ), Z
% 0.53/0.95 , Y ) }.
% 0.53/0.95 { ! perp( X, T, Y, Z ), ! perp( Y, T, X, Z ), alpha1( X, Y, Z ) }.
% 0.53/0.95 { ! alpha1( X, Y, Z ), coll( skol11( X, T, Z ), Z, X ) }.
% 0.53/0.95 { ! alpha1( X, Y, Z ), perp( Y, skol11( X, Y, Z ), Z, X ) }.
% 0.53/0.95 { ! coll( T, Z, X ), ! perp( Y, T, Z, X ), alpha1( X, Y, Z ) }.
% 0.53/0.95 { ! circle( Y, X, Z, T ), perp( skol12( X, Y ), X, X, Y ) }.
% 3.01/3.42 { ! circle( W, X, Y, Z ), ! cong( W, X, W, T ), ! cong( U, X, U, Y ), W = U
% 3.01/3.42 , alpha2( X, Z, U, skol13( X, V0, Z, V1, U ) ) }.
% 3.01/3.42 { ! circle( W, X, Y, Z ), ! cong( W, X, W, T ), ! cong( U, X, U, Y ), W = U
% 3.01/3.42 , coll( skol21( V0, Y, T, V1 ), Y, T ) }.
% 3.01/3.42 { ! circle( W, X, Y, Z ), ! cong( W, X, W, T ), ! cong( U, X, U, Y ), W = U
% 3.01/3.42 , cong( skol21( X, Y, T, U ), U, U, X ) }.
% 3.01/3.42 { ! alpha2( X, Y, Z, T ), coll( T, X, Y ) }.
% 3.01/3.42 { ! alpha2( X, Y, Z, T ), cong( T, Z, Z, X ) }.
% 3.01/3.42 { ! coll( T, X, Y ), ! cong( T, Z, Z, X ), alpha2( X, Y, Z, T ) }.
% 3.01/3.42 { ! cyclic( X, Y, Z, T ), ! para( X, Y, Z, T ), ! midp( U, X, Y ), circle(
% 3.01/3.42 skol14( X, Y, Z ), X, Y, Z ) }.
% 3.01/3.42 { ! perp( X, Z, Z, Y ), ! cyclic( X, Y, Z, T ), circle( skol15( X, Y, Z ),
% 3.01/3.42 X, Y, Z ) }.
% 3.01/3.42 { ! perp( X, U, U, T ), ! coll( T, Y, Z ), coll( skol16( W, Y, Z ), Y, Z )
% 3.01/3.42 }.
% 3.01/3.42 { ! perp( X, U, U, T ), ! coll( T, Y, Z ), perp( skol16( X, Y, Z ), X, Y, Z
% 3.01/3.42 ) }.
% 3.01/3.42 { ! perp( X, Z, X, Y ), ! perp( Y, X, Y, T ), ! midp( U, Z, T ), midp(
% 3.01/3.42 skol17( X, Y ), X, Y ) }.
% 3.01/3.42 { ! cong( Y, X, Y, Z ), ! perp( X, Y, Y, Z ), coll( X, Y, skol18( X, Y ) )
% 3.01/3.42 }.
% 3.01/3.42 { ! cong( Y, X, Y, Z ), ! perp( X, Y, Y, Z ), cong( Y, X, Y, skol18( X, Y )
% 3.01/3.42 ) }.
% 3.01/3.42 { ! para( U, W, X, Y ), ! coll( Z, U, X ), ! coll( Z, W, Y ), ! coll( T, U
% 3.01/3.42 , W ), coll( Z, T, skol19( V0, V1, Z, T ) ) }.
% 3.01/3.42 { ! para( U, W, X, Y ), ! coll( Z, U, X ), ! coll( Z, W, Y ), ! coll( T, U
% 3.01/3.42 , W ), coll( skol19( X, Y, Z, T ), X, Y ) }.
% 3.01/3.42 { circle( skol28, skol25, skol26, skol27 ) }.
% 3.01/3.42 { circle( skol28, skol25, skol29, skol30 ) }.
% 3.01/3.42 { circle( skol28, skol25, skol20, skol31 ) }.
% 3.01/3.42 { perp( skol32, skol20, skol25, skol29 ) }.
% 3.01/3.42 { coll( skol32, skol25, skol29 ) }.
% 3.01/3.42 { perp( skol22, skol20, skol25, skol26 ) }.
% 3.01/3.42 { coll( skol22, skol25, skol26 ) }.
% 3.01/3.42 { perp( skol23, skol20, skol26, skol27 ) }.
% 3.01/3.42 { coll( skol23, skol26, skol27 ) }.
% 3.01/3.42 { perp( skol33, skol20, skol27, skol29 ) }.
% 3.01/3.42 { coll( skol33, skol27, skol29 ) }.
% 3.01/3.42 { coll( skol24, skol32, skol22 ) }.
% 3.01/3.42 { coll( skol24, skol23, skol33 ) }.
% 3.01/3.42 { ! cyclic( skol20, skol22, skol24, skol23 ) }.
% 3.01/3.42
% 3.01/3.42 percentage equality = 0.008621, percentage horn = 0.930769
% 3.01/3.42 This is a problem with some equality
% 3.01/3.42
% 3.01/3.42
% 3.01/3.42
% 3.01/3.42 Options Used:
% 3.01/3.42
% 3.01/3.42 useres = 1
% 3.01/3.42 useparamod = 1
% 3.01/3.42 useeqrefl = 1
% 3.01/3.42 useeqfact = 1
% 3.01/3.42 usefactor = 1
% 3.01/3.42 usesimpsplitting = 0
% 3.01/3.42 usesimpdemod = 5
% 3.01/3.42 usesimpres = 3
% 3.01/3.42
% 3.01/3.42 resimpinuse = 1000
% 3.01/3.42 resimpclauses = 20000
% 3.01/3.42 substype = eqrewr
% 3.01/3.42 backwardsubs = 1
% 3.01/3.42 selectoldest = 5
% 3.01/3.42
% 3.01/3.42 litorderings [0] = split
% 3.01/3.42 litorderings [1] = extend the termordering, first sorting on arguments
% 3.01/3.42
% 3.01/3.42 termordering = kbo
% 3.01/3.42
% 3.01/3.42 litapriori = 0
% 3.01/3.42 termapriori = 1
% 3.01/3.42 litaposteriori = 0
% 3.01/3.42 termaposteriori = 0
% 3.01/3.42 demodaposteriori = 0
% 3.01/3.42 ordereqreflfact = 0
% 3.01/3.42
% 3.01/3.42 litselect = negord
% 3.01/3.42
% 3.01/3.42 maxweight = 15
% 3.01/3.42 maxdepth = 30000
% 3.01/3.42 maxlength = 115
% 3.01/3.42 maxnrvars = 195
% 3.01/3.42 excuselevel = 1
% 3.01/3.42 increasemaxweight = 1
% 3.01/3.42
% 3.01/3.42 maxselected = 10000000
% 3.01/3.42 maxnrclauses = 10000000
% 3.01/3.42
% 3.01/3.42 showgenerated = 0
% 3.01/3.42 showkept = 0
% 3.01/3.42 showselected = 0
% 3.01/3.42 showdeleted = 0
% 3.01/3.42 showresimp = 1
% 3.01/3.42 showstatus = 2000
% 3.01/3.42
% 3.01/3.42 prologoutput = 0
% 3.01/3.42 nrgoals = 5000000
% 3.01/3.42 totalproof = 1
% 3.01/3.42
% 3.01/3.42 Symbols occurring in the translation:
% 3.01/3.42
% 3.01/3.42 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 3.01/3.42 . [1, 2] (w:1, o:45, a:1, s:1, b:0),
% 3.01/3.42 ! [4, 1] (w:0, o:40, a:1, s:1, b:0),
% 3.01/3.42 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 3.01/3.42 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 3.01/3.42 coll [38, 3] (w:1, o:73, a:1, s:1, b:0),
% 3.01/3.42 para [40, 4] (w:1, o:81, a:1, s:1, b:0),
% 3.01/3.42 perp [43, 4] (w:1, o:82, a:1, s:1, b:0),
% 3.01/3.42 midp [45, 3] (w:1, o:74, a:1, s:1, b:0),
% 3.01/3.42 cong [47, 4] (w:1, o:83, a:1, s:1, b:0),
% 3.01/3.42 circle [48, 4] (w:1, o:84, a:1, s:1, b:0),
% 3.01/3.42 cyclic [49, 4] (w:1, o:85, a:1, s:1, b:0),
% 3.01/3.42 eqangle [54, 8] (w:1, o:100, a:1, s:1, b:0),
% 3.01/3.42 eqratio [57, 8] (w:1, o:101, a:1, s:1, b:0),
% 3.01/3.42 simtri [59, 6] (w:1, o:97, a:1, s:1, b:0),
% 3.01/3.42 contri [60, 6] (w:1, o:98, a:1, s:1, b:0),
% 3.01/3.42 alpha1 [67, 3] (w:1, o:75, a:1, s:1, b:1),
% 3.01/3.42 alpha2 [68, 4] (w:1, o:86, a:1, s:1, b:1),
% 3.01/3.42 skol1 [69, 4] (w:1, o:87, a:1, s:1, b:1),
% 3.01/3.42 skol2 [70, 4] (w:1, o:89, a:1, s:1, b:1),
% 14.36/14.81 skol3 [71, 4] (w:1, o:91, a:1, s:1, b:1),
% 14.36/14.81 skol4 [72, 4] (w:1, o:92, a:1, s:1, b:1),
% 14.36/14.81 skol5 [73, 4] (w:1, o:93, a:1, s:1, b:1),
% 14.36/14.81 skol6 [74, 6] (w:1, o:99, a:1, s:1, b:1),
% 14.36/14.81 skol7 [75, 2] (w:1, o:69, a:1, s:1, b:1),
% 14.36/14.81 skol8 [76, 4] (w:1, o:94, a:1, s:1, b:1),
% 14.36/14.81 skol9 [77, 4] (w:1, o:95, a:1, s:1, b:1),
% 14.36/14.81 skol10 [78, 3] (w:1, o:76, a:1, s:1, b:1),
% 14.36/14.81 skol11 [79, 3] (w:1, o:77, a:1, s:1, b:1),
% 14.36/14.81 skol12 [80, 2] (w:1, o:70, a:1, s:1, b:1),
% 14.36/14.81 skol13 [81, 5] (w:1, o:96, a:1, s:1, b:1),
% 14.36/14.81 skol14 [82, 3] (w:1, o:78, a:1, s:1, b:1),
% 14.36/14.81 skol15 [83, 3] (w:1, o:79, a:1, s:1, b:1),
% 14.36/14.81 skol16 [84, 3] (w:1, o:80, a:1, s:1, b:1),
% 14.36/14.81 skol17 [85, 2] (w:1, o:71, a:1, s:1, b:1),
% 14.36/14.81 skol18 [86, 2] (w:1, o:72, a:1, s:1, b:1),
% 14.36/14.81 skol19 [87, 4] (w:1, o:88, a:1, s:1, b:1),
% 14.36/14.81 skol20 [88, 0] (w:1, o:27, a:1, s:1, b:1),
% 14.36/14.81 skol21 [89, 4] (w:1, o:90, a:1, s:1, b:1),
% 14.36/14.81 skol22 [90, 0] (w:1, o:28, a:1, s:1, b:1),
% 14.36/14.81 skol23 [91, 0] (w:1, o:29, a:1, s:1, b:1),
% 14.36/14.81 skol24 [92, 0] (w:1, o:30, a:1, s:1, b:1),
% 14.36/14.81 skol25 [93, 0] (w:1, o:31, a:1, s:1, b:1),
% 14.36/14.81 skol26 [94, 0] (w:1, o:32, a:1, s:1, b:1),
% 14.36/14.81 skol27 [95, 0] (w:1, o:33, a:1, s:1, b:1),
% 14.36/14.81 skol28 [96, 0] (w:1, o:34, a:1, s:1, b:1),
% 14.36/14.81 skol29 [97, 0] (w:1, o:35, a:1, s:1, b:1),
% 14.36/14.81 skol30 [98, 0] (w:1, o:36, a:1, s:1, b:1),
% 14.36/14.81 skol31 [99, 0] (w:1, o:37, a:1, s:1, b:1),
% 14.36/14.81 skol32 [100, 0] (w:1, o:38, a:1, s:1, b:1),
% 14.36/14.81 skol33 [101, 0] (w:1, o:39, a:1, s:1, b:1).
% 14.36/14.81
% 14.36/14.81
% 14.36/14.81 Starting Search:
% 14.36/14.81
% 14.36/14.81 *** allocated 15000 integers for clauses
% 14.36/14.81 *** allocated 22500 integers for clauses
% 14.36/14.81 *** allocated 33750 integers for clauses
% 14.36/14.81 *** allocated 50625 integers for clauses
% 14.36/14.81 *** allocated 22500 integers for termspace/termends
% 14.36/14.81 *** allocated 75937 integers for clauses
% 14.36/14.81 Resimplifying inuse:
% 14.36/14.81 Done
% 14.36/14.81
% 14.36/14.81 *** allocated 33750 integers for termspace/termends
% 14.36/14.81 *** allocated 113905 integers for clauses
% 14.36/14.81 *** allocated 50625 integers for termspace/termends
% 14.36/14.81
% 14.36/14.81 Intermediate Status:
% 14.36/14.81 Generated: 7897
% 14.36/14.81 Kept: 2000
% 14.36/14.81 Inuse: 312
% 14.36/14.81 Deleted: 0
% 14.36/14.81 Deletedinuse: 0
% 14.36/14.81
% 14.36/14.81 Resimplifying inuse:
% 14.36/14.81 Done
% 14.36/14.81
% 14.36/14.81 *** allocated 170857 integers for clauses
% 14.36/14.81 *** allocated 75937 integers for termspace/termends
% 14.36/14.81 Resimplifying inuse:
% 14.36/14.81 Done
% 14.36/14.81
% 14.36/14.81 *** allocated 256285 integers for clauses
% 14.36/14.81 *** allocated 113905 integers for termspace/termends
% 14.36/14.81
% 14.36/14.81 Intermediate Status:
% 14.36/14.81 Generated: 20707
% 14.36/14.81 Kept: 4012
% 14.36/14.81 Inuse: 461
% 14.36/14.81 Deleted: 1
% 14.36/14.81 Deletedinuse: 1
% 14.36/14.81
% 14.36/14.81 Resimplifying inuse:
% 14.36/14.81 Done
% 14.36/14.81
% 14.36/14.81 *** allocated 384427 integers for clauses
% 14.36/14.81 Resimplifying inuse:
% 14.36/14.81 Done
% 14.36/14.81
% 14.36/14.81 *** allocated 170857 integers for termspace/termends
% 14.36/14.81
% 14.36/14.81 Intermediate Status:
% 14.36/14.81 Generated: 34488
% 14.36/14.81 Kept: 6218
% 14.36/14.81 Inuse: 531
% 14.36/14.81 Deleted: 1
% 14.36/14.81 Deletedinuse: 1
% 14.36/14.81
% 14.36/14.81 Resimplifying inuse:
% 14.36/14.81 Done
% 14.36/14.81
% 14.36/14.81 Resimplifying inuse:
% 14.36/14.81 Done
% 14.36/14.81
% 14.36/14.81 *** allocated 576640 integers for clauses
% 14.36/14.81
% 14.36/14.81 Intermediate Status:
% 14.36/14.81 Generated: 48108
% 14.36/14.81 Kept: 8218
% 14.36/14.81 Inuse: 671
% 14.36/14.81 Deleted: 2
% 14.36/14.81 Deletedinuse: 1
% 14.36/14.81
% 14.36/14.81 Resimplifying inuse:
% 14.36/14.81 Done
% 14.36/14.81
% 14.36/14.81 *** allocated 256285 integers for termspace/termends
% 14.36/14.81 Resimplifying inuse:
% 14.36/14.81 Done
% 14.36/14.81
% 14.36/14.81
% 14.36/14.81 Intermediate Status:
% 14.36/14.81 Generated: 68258
% 14.36/14.81 Kept: 10240
% 14.36/14.81 Inuse: 769
% 14.36/14.81 Deleted: 5
% 14.36/14.81 Deletedinuse: 3
% 14.36/14.81
% 14.36/14.81 Resimplifying inuse:
% 14.36/14.81 Done
% 14.36/14.81
% 14.36/14.81 Resimplifying inuse:
% 14.36/14.81 Done
% 14.36/14.81
% 14.36/14.81 *** allocated 864960 integers for clauses
% 14.36/14.81
% 14.36/14.81 Intermediate Status:
% 14.36/14.81 Generated: 81212
% 14.36/14.81 Kept: 12344
% 14.36/14.81 Inuse: 859
% 14.36/14.81 Deleted: 6
% 14.36/14.81 Deletedinuse: 4
% 14.36/14.81
% 14.36/14.81 Resimplifying inuse:
% 14.36/14.81 Done
% 14.36/14.81
% 14.36/14.81 Resimplifying inuse:
% 14.36/14.81 Done
% 14.36/14.81
% 14.36/14.81
% 14.36/14.81 Intermediate Status:
% 14.36/14.81 Generated: 91442
% 14.36/14.81 Kept: 14353
% 14.36/14.81 Inuse: 918
% 14.36/14.81 Deleted: 6
% 14.36/14.81 Deletedinuse: 4
% 14.36/14.81
% 14.36/14.81 Resimplifying inuse:
% 14.36/14.81 Done
% 14.36/14.81
% 14.36/14.81 *** allocated 384427 integers for termspace/termends
% 14.36/14.81 Resimplifying inuse:
% 14.36/14.81 Done
% 14.36/14.81
% 14.36/14.81
% 14.36/14.81 Intermediate Status:
% 14.36/14.81 Generated: 106150
% 14.36/14.81 Kept: 16357
% 14.36/14.81 Inuse: 1023
% 14.36/14.81 Deleted: 8
% 14.36/14.81 Deletedinuse: 4
% 14.36/14.81
% 14.36/14.81 Resimplifying inuse:
% 14.36/14.81 Done
% 14.36/14.81
% 14.36/14.81 Resimplifying inuse:
% 14.36/14.81 Done
% 14.36/14.81
% 14.36/14.81
% 14.36/14.81 Intermediate Status:
% 14.36/14.81 Generated: 121775
% 14.36/14.81 Kept: 18393
% 14.36/14.81 Inuse: 1148
% 14.36/14.81 Deleted: 12
% 14.36/14.81 Deletedinuse: 4
% 14.36/14.81
% 14.36/14.81 *** allocated 1297440 integers for clauses
% 14.36/14.81 Resimplifying inuse:
% 14.36/14.81 Done
% 14.36/14.81
% 14.36/14.81 Resimplifying inuse:
% 14.36/14.81 Done
% 14.36/14.81
% 14.36/14.81 Resimplifying clauses:
% 14.36/14.81 Done
% 14.36/14.81
% 14.36/14.81
% 14.36/14.81 Intermediate Status:
% 14.36/14.81 Generated: 131577
% 14.36/14.81 Kept: 20408
% 14.36/14.81 Inuse: 1235
% 14.36/14.81 Deleted: 1101
% 14.36/14.81 Deletedinuse: 8
% 14.36/14.81
% 14.36/14.81 Resimplifying inuse:
% 14.36/14.81 Done
% 14.36/14.81
% 14.36/14.81 Resimplifying inuse:
% 14.36/14.81 Done
% 14.36/14.81
% 14.36/14.81
% 14.36/14.81 Intermediate Status:
% 14.36/14.81 Generated: 144197
% 14.36/14.81 Kept: 22411
% 14.36/14.81 Inuse: 1358
% 14.36/14.81 Deleted: 1101
% 14.36/14.81 Deletedinuse: 8
% 14.36/14.81
% 14.36/14.81 Resimplifying inuse:
% 14.36/14.81 Done
% 14.36/14.81
% 14.36/14.81 Resimplifying inuse:
% 14.36/14.81 Done
% 14.36/14.81
% 14.36/14.81
% 14.36/14.81 Intermediate Status:
% 14.36/14.81 Generated: 157629
% 14.36/14.81 Kept: 24426
% 14.36/14.81 Inuse: 1494
% 14.36/14.81 Deleted: 1101
% 14.36/14.81 Deletedinuse: 8
% 14.36/14.81
% 14.36/14.81 Resimplifying inuse:
% 14.36/14.81 Done
% 14.36/14.81
% 14.36/14.81 *** allocated 576640 integers for termspace/termends
% 14.36/14.81 Resimplifying inuse:
% 14.36/14.81 Done
% 14.36/14.81
% 14.36/14.81
% 14.36/14.81 Intermediate Status:
% 14.36/14.81 Generated: 170494
% 14.36/14.81 Kept: 26452
% 14.36/14.81 Inuse: 1593
% 14.36/14.81 Deleted: 1101
% 14.36/14.81 Deletedinuse: 8
% 14.36/14.81
% 14.36/14.81 Resimplifying inuse:
% 14.36/14.81 Done
% 14.36/14.81
% 14.36/14.81 *** allocated 1946160 integers for clauses
% 14.36/14.81 Resimplifying inuse:
% 14.36/14.81 Done
% 14.36/14.81
% 14.36/14.81
% 14.36/14.81 Intermediate Status:
% 14.36/14.81 Generated: 190131
% 14.36/14.81 Kept: 28468
% 14.36/14.81 Inuse: 1721
% 14.36/14.81 Deleted: 1101
% 14.36/14.81 Deletedinuse: 8
% 14.36/14.81
% 14.36/14.81 Resimplifying inuse:
% 14.36/14.81 Done
% 14.36/14.81
% 14.36/14.81 Resimplifying inuse:
% 14.36/14.81 Done
% 14.36/14.81
% 14.36/14.81
% 14.36/14.81 Intermediate Status:
% 14.36/14.81 Generated: 215485
% 14.36/14.81 Kept: 30504
% 14.36/14.81 Inuse: 1828
% 14.36/14.81 Deleted: 1102
% 14.36/14.81 Deletedinuse: 8
% 14.36/14.81
% 14.36/14.81 Resimplifying inuse:
% 14.36/14.81 Done
% 14.36/14.81
% 14.36/14.81 Resimplifying inuse:
% 14.36/14.81 Done
% 14.36/14.81
% 14.36/14.81
% 14.36/14.81 Intermediate Status:
% 14.36/14.81 Generated: 259404
% 14.36/14.81 Kept: 32513
% 14.36/14.81 Inuse: 1935
% 14.36/14.81 Deleted: 1102
% 14.36/14.81 Deletedinuse: 8
% 14.36/14.81
% 14.36/14.81 Resimplifying inuse:
% 14.36/14.81 Done
% 14.36/14.81
% 14.36/14.81 Resimplifying inuse:
% 14.36/14.81 Done
% 14.36/14.81
% 14.36/14.81
% 14.36/14.81 Intermediate Status:
% 14.36/14.81 Generated: 286471
% 14.36/14.81 Kept: 34517
% 14.36/14.81 Inuse: 2056
% 14.36/14.81 Deleted: 1102
% 14.36/14.81 Deletedinuse: 8
% 14.36/14.81
% 14.36/14.81 Resimplifying inuse:
% 14.36/14.81 Done
% 14.36/14.81
% 14.36/14.81 Resimplifying inuse:
% 14.36/14.81 Done
% 14.36/14.81
% 14.36/14.81
% 14.36/14.81 Intermediate Status:
% 14.36/14.81 Generated: 300313
% 14.36/14.81 Kept: 36523
% 14.36/14.81 Inuse: 2150
% 14.36/14.81 Deleted: 1102
% 14.36/14.81 Deletedinuse: 8
% 14.36/14.81
% 14.36/14.81 Resimplifying inuse:
% 14.36/14.81 Done
% 14.36/14.81
% 14.36/14.81 Resimplifying inuse:
% 14.36/14.81 Done
% 14.36/14.81
% 14.36/14.81
% 14.36/14.81 Intermediate Status:
% 14.36/14.81 Generated: 312642
% 14.36/14.81 Kept: 38538
% 14.36/14.81 Inuse: 2267
% 14.36/14.81 Deleted: 1106
% 14.36/14.81 Deletedinuse: 12
% 14.36/14.81
% 14.36/14.81 Resimplifying inuse:
% 14.36/14.81 Done
% 14.36/14.81
% 14.36/14.81 Resimplifying clauses:
% 14.36/14.81 Done
% 14.36/14.81
% 14.36/14.81 Resimplifying inuse:
% 14.36/14.81 Done
% 14.36/14.81
% 14.36/14.81
% 14.36/14.81 Intermediate Status:
% 14.36/14.81 Generated: 323089
% 14.36/14.81 Kept: 40552
% 14.36/14.81 Inuse: 2356
% 14.36/14.81 Deleted: 3692
% 14.36/14.81 Deletedinuse: 30
% 14.36/14.81
% 14.36/14.81 Resimplifying inuse:
% 14.36/14.81 Done
% 14.36/14.81
% 14.36/14.81 *** allocated 864960 integers for termspace/termends
% 14.36/14.81 Resimplifying inuse:
% 14.36/14.81 Done
% 14.36/14.81
% 14.36/14.81
% 14.36/14.81 Intermediate Status:
% 14.36/14.81 Generated: 337534
% 14.36/14.81 Kept: 42572
% 14.36/14.81 Inuse: 2463
% 14.36/14.81 Deleted: 3702
% 14.36/14.81 Deletedinuse: 40
% 14.36/14.81
% 14.36/14.81 *** allocated 2919240 integers for clauses
% 14.36/14.81 Resimplifying inuse:
% 14.36/14.81 Done
% 14.36/14.81
% 14.36/14.81 Resimplifying inuse:
% 14.36/14.81 Done
% 14.36/14.81
% 14.36/14.81
% 14.36/14.81 Intermediate Status:
% 14.36/14.81 Generated: 351754
% 14.36/14.81 Kept: 44572
% 14.36/14.81 Inuse: 2584
% 14.36/14.81 Deleted: 3714
% 14.36/14.81 Deletedinuse: 52
% 14.36/14.81
% 14.36/14.81 Resimplifying inuse:
% 14.36/14.81 Done
% 14.36/14.81
% 14.36/14.81 Resimplifying inuse:
% 14.36/14.81 Done
% 14.36/14.81
% 14.36/14.81
% 14.36/14.81 Intermediate Status:
% 14.36/14.81 Generated: 364212
% 14.36/14.81 Kept: 46576
% 14.36/14.81 Inuse: 2695
% 14.36/14.81 Deleted: 3730
% 14.36/14.81 Deletedinuse: 68
% 14.36/14.81
% 14.36/14.81 Resimplifying inuse:
% 14.36/14.81 Done
% 14.36/14.81
% 14.36/14.81 Resimplifying inuse:
% 14.36/14.81 Done
% 14.36/14.81
% 14.36/14.81
% 14.36/14.81 Intermediate Status:
% 14.36/14.81 Generated: 378166
% 14.36/14.81 Kept: 48585
% 14.36/14.81 Inuse: 2797
% 14.36/14.81 Deleted: 3740
% 14.36/14.81 Deletedinuse: 78
% 14.36/14.81
% 14.36/14.81 Resimplifying inuse:
% 14.36/14.81 Done
% 14.36/14.81
% 14.36/14.81 Resimplifying inuse:
% 14.36/14.81 Done
% 14.36/14.81
% 14.36/14.81
% 14.36/14.81 Intermediate Status:
% 14.36/14.81 Generated: 397271
% 14.36/14.81 Kept: 50596
% 14.36/14.81 Inuse: 2935
% 14.36/14.81 Deleted: 3760
% 14.36/14.81 Deletedinuse: 89
% 14.36/14.81
% 14.36/14.81 Resimplifying inuse:
% 14.36/14.81 Done
% 14.36/14.81
% 14.36/14.81
% 14.36/14.81 Bliksems!, er is een bewijs:
% 14.36/14.81 % SZS status Theorem
% 14.36/14.81 % SZS output start Refutation
% 14.36/14.81
% 14.36/14.81 (0) {G0,W8,D2,L2,V3,M2} I { ! coll( X, Y, Z ), coll( X, Z, Y ) }.
% 14.36/14.81 (1) {G0,W8,D2,L2,V3,M2} I { ! coll( X, Y, Z ), coll( Y, X, Z ) }.
% 14.36/14.81 (2) {G0,W12,D2,L3,V4,M3} I { ! coll( X, T, Y ), ! coll( X, T, Z ), coll( Y
% 14.36/14.81 , Z, X ) }.
% 14.36/14.81 (6) {G0,W10,D2,L2,V4,M2} I { ! perp( X, Y, Z, T ), perp( X, Y, T, Z ) }.
% 14.36/14.81 (7) {G0,W10,D2,L2,V4,M2} I { ! perp( X, Y, Z, T ), perp( Z, T, X, Y ) }.
% 14.36/14.81 (8) {G0,W15,D2,L3,V6,M3} I { ! perp( X, Y, U, W ), ! perp( U, W, Z, T ),
% 14.36/14.81 para( X, Y, Z, T ) }.
% 14.36/14.81 (13) {G0,W10,D2,L2,V4,M2} I { ! cyclic( X, Y, Z, T ), cyclic( X, Y, T, Z )
% 14.36/14.81 }.
% 14.36/14.81 (14) {G0,W10,D2,L2,V4,M2} I { ! cyclic( X, Y, Z, T ), cyclic( X, Z, Y, T )
% 14.36/14.81 }.
% 14.36/14.81 (15) {G0,W10,D2,L2,V4,M2} I { ! cyclic( X, Y, Z, T ), cyclic( Y, X, Z, T )
% 14.36/14.81 }.
% 14.36/14.81 (16) {G0,W15,D2,L3,V5,M3} I { ! cyclic( U, X, Y, Z ), ! cyclic( U, X, Y, T
% 14.36/14.81 ), cyclic( X, Y, Z, T ) }.
% 14.36/14.81 (18) {G0,W18,D2,L2,V8,M2} I { ! eqangle( X, Y, Z, T, U, W, V0, V1 ),
% 14.36/14.81 eqangle( Z, T, X, Y, V0, V1, U, W ) }.
% 14.36/14.81 (19) {G0,W18,D2,L2,V8,M2} I { ! eqangle( X, Y, Z, T, U, W, V0, V1 ),
% 14.36/14.81 eqangle( U, W, V0, V1, X, Y, Z, T ) }.
% 14.36/14.81 (39) {G0,W14,D2,L2,V6,M2} I { ! para( X, Y, Z, T ), eqangle( X, Y, U, W, Z
% 14.36/14.81 , T, U, W ) }.
% 14.36/14.81 (40) {G0,W14,D2,L2,V4,M2} I { ! cyclic( X, Y, Z, T ), eqangle( Z, X, Z, Y,
% 14.36/14.81 T, X, T, Y ) }.
% 14.36/14.81 (42) {G0,W18,D2,L3,V4,M3} I { ! eqangle( Z, X, Z, Y, T, X, T, Y ), ! coll(
% 14.36/14.81 Z, T, Y ), cyclic( X, Y, Z, T ) }.
% 14.36/14.81 (123) {G0,W5,D2,L1,V0,M1} I { perp( skol23, skol20, skol26, skol27 ) }.
% 14.36/14.81 (124) {G0,W4,D2,L1,V0,M1} I { coll( skol23, skol26, skol27 ) }.
% 14.36/14.81 (129) {G0,W5,D2,L1,V0,M1} I { ! cyclic( skol20, skol22, skol24, skol23 )
% 14.36/14.81 }.
% 14.36/14.81 (168) {G1,W4,D2,L1,V0,M1} R(0,124) { coll( skol23, skol27, skol26 ) }.
% 14.36/14.81 (174) {G2,W4,D2,L1,V0,M1} R(1,168) { coll( skol27, skol23, skol26 ) }.
% 14.36/14.81 (208) {G1,W12,D2,L3,V4,M3} R(2,0) { ! coll( X, Y, Z ), ! coll( X, Y, T ),
% 14.36/14.81 coll( Z, X, T ) }.
% 14.36/14.81 (219) {G2,W8,D2,L2,V3,M2} F(208) { ! coll( X, Y, Z ), coll( Z, X, Z ) }.
% 14.36/14.81 (294) {G1,W15,D2,L3,V6,M3} R(8,7) { ! perp( X, Y, Z, T ), para( X, Y, U, W
% 14.36/14.81 ), ! perp( U, W, Z, T ) }.
% 14.36/14.81 (302) {G2,W10,D2,L2,V4,M2} F(294) { ! perp( X, Y, Z, T ), para( X, Y, X, Y
% 14.36/14.81 ) }.
% 14.36/14.81 (346) {G1,W5,D2,L1,V0,M1} R(123,7) { perp( skol26, skol27, skol23, skol20 )
% 14.36/14.81 }.
% 14.36/14.81 (351) {G2,W5,D2,L1,V0,M1} R(346,6) { perp( skol26, skol27, skol20, skol23 )
% 14.36/14.81 }.
% 14.36/14.81 (392) {G1,W5,D2,L1,V0,M1} R(13,129) { ! cyclic( skol20, skol22, skol23,
% 14.36/14.81 skol24 ) }.
% 14.36/14.81 (406) {G1,W10,D2,L2,V4,M2} R(14,13) { ! cyclic( X, Y, Z, T ), cyclic( X, Z
% 14.36/14.81 , T, Y ) }.
% 14.36/14.81 (414) {G1,W10,D2,L2,V4,M2} R(15,14) { cyclic( X, Y, Z, T ), ! cyclic( Y, Z
% 14.36/14.81 , X, T ) }.
% 14.36/14.81 (416) {G2,W5,D2,L1,V0,M1} R(15,392) { ! cyclic( skol22, skol20, skol23,
% 14.36/14.81 skol24 ) }.
% 14.36/14.81 (417) {G1,W10,D2,L2,V4,M2} R(15,13) { cyclic( X, Y, Z, T ), ! cyclic( Y, X
% 14.36/14.81 , T, Z ) }.
% 14.36/14.81 (438) {G1,W15,D2,L3,V5,M3} R(16,15) { ! cyclic( X, Y, Z, T ), ! cyclic( X,
% 14.36/14.81 Y, Z, U ), cyclic( Z, Y, T, U ) }.
% 14.36/14.81 (446) {G1,W15,D2,L3,V5,M3} R(16,13) { ! cyclic( X, Y, Z, T ), cyclic( Y, Z
% 14.36/14.81 , T, U ), ! cyclic( X, Y, U, Z ) }.
% 14.36/14.81 (450) {G2,W10,D2,L2,V4,M2} F(438) { ! cyclic( X, Y, Z, T ), cyclic( Z, Y, T
% 14.36/14.81 , T ) }.
% 14.36/14.81 (471) {G3,W10,D2,L2,V1,M2} R(416,16) { ! cyclic( X, skol22, skol20, skol23
% 14.36/14.81 ), ! cyclic( X, skol22, skol20, skol24 ) }.
% 14.36/14.81 (550) {G3,W4,D2,L1,V0,M1} R(219,174) { coll( skol26, skol27, skol26 ) }.
% 14.36/14.81 (792) {G1,W14,D2,L2,V6,M2} R(39,18) { ! para( X, Y, Z, T ), eqangle( U, W,
% 14.36/14.81 X, Y, U, W, Z, T ) }.
% 14.36/14.81 (810) {G1,W14,D2,L2,V4,M2} R(40,19) { ! cyclic( X, Y, Z, T ), eqangle( T, X
% 14.36/14.81 , T, Y, Z, X, Z, Y ) }.
% 14.36/14.81 (814) {G1,W14,D2,L2,V4,M2} R(40,14) { eqangle( X, Y, X, Z, T, Y, T, Z ), !
% 14.36/14.81 cyclic( Y, X, Z, T ) }.
% 14.36/14.81 (818) {G4,W4,D2,L1,V0,M1} R(550,1) { coll( skol27, skol26, skol26 ) }.
% 14.36/14.81 (819) {G4,W4,D2,L1,V0,M1} R(550,0) { coll( skol26, skol26, skol27 ) }.
% 14.36/14.81 (878) {G5,W14,D2,L2,V1,M2} R(42,819) { ! eqangle( skol26, X, skol26, skol27
% 14.36/14.81 , skol26, X, skol26, skol27 ), cyclic( X, skol27, skol26, skol26 ) }.
% 14.36/14.81 (879) {G5,W14,D2,L2,V1,M2} R(42,818) { ! eqangle( skol27, X, skol27, skol26
% 14.36/14.81 , skol26, X, skol26, skol26 ), cyclic( X, skol26, skol27, skol26 ) }.
% 14.36/14.81 (880) {G4,W14,D2,L2,V1,M2} R(42,550) { ! eqangle( skol26, X, skol26, skol26
% 14.36/14.81 , skol27, X, skol27, skol26 ), cyclic( X, skol26, skol26, skol27 ) }.
% 14.36/14.81 (20774) {G3,W5,D2,L1,V0,M1} R(302,351) { para( skol26, skol27, skol26,
% 14.36/14.81 skol27 ) }.
% 14.36/14.81 (47771) {G4,W9,D2,L1,V2,M1} R(792,20774) { eqangle( X, Y, skol26, skol27, X
% 14.36/14.81 , Y, skol26, skol27 ) }.
% 14.36/14.81 (51812) {G6,W5,D2,L1,V1,M1} S(878);r(47771) { cyclic( X, skol27, skol26,
% 14.36/14.81 skol26 ) }.
% 14.36/14.81 (51879) {G7,W5,D2,L1,V1,M1} R(879,814);r(51812) { cyclic( X, skol26, skol27
% 14.36/14.81 , skol26 ) }.
% 14.36/14.81 (51942) {G8,W5,D2,L1,V1,M1} R(880,810);r(51879) { cyclic( X, skol26, skol26
% 14.36/14.81 , skol27 ) }.
% 14.36/14.81 (51977) {G9,W5,D2,L1,V1,M1} R(51942,417) { cyclic( skol26, X, skol27,
% 14.36/14.81 skol26 ) }.
% 14.36/14.81 (51987) {G10,W5,D2,L1,V1,M1} R(51977,450) { cyclic( skol27, X, skol26,
% 14.36/14.81 skol26 ) }.
% 14.36/14.81 (51999) {G11,W5,D2,L1,V1,M1} R(51987,450) { cyclic( skol26, X, skol26,
% 14.36/14.81 skol26 ) }.
% 14.36/14.81 (52021) {G12,W5,D2,L1,V1,M1} R(51999,414) { cyclic( skol26, skol26, X,
% 14.36/14.81 skol26 ) }.
% 14.36/14.81 (52022) {G12,W5,D2,L1,V1,M1} R(51999,406) { cyclic( skol26, skol26, skol26
% 14.36/14.81 , X ) }.
% 14.36/14.81 (52051) {G13,W5,D2,L1,V2,M1} R(52021,446);r(52022) { cyclic( skol26, skol26
% 14.36/14.81 , X, Y ) }.
% 14.36/14.81 (52073) {G14,W5,D2,L1,V3,M1} R(52051,446);r(52051) { cyclic( skol26, X, Y,
% 14.36/14.81 Z ) }.
% 14.36/14.81 (52089) {G15,W0,D0,L0,V0,M0} R(52073,471);r(52073) { }.
% 14.36/14.81
% 14.36/14.81
% 14.36/14.81 % SZS output end Refutation
% 14.36/14.81 found a proof!
% 14.36/14.81
% 14.36/14.81
% 14.36/14.81 Unprocessed initial clauses:
% 14.36/14.81
% 14.36/14.81 (52091) {G0,W8,D2,L2,V3,M2} { ! coll( X, Y, Z ), coll( X, Z, Y ) }.
% 14.36/14.81 (52092) {G0,W8,D2,L2,V3,M2} { ! coll( X, Y, Z ), coll( Y, X, Z ) }.
% 14.36/14.81 (52093) {G0,W12,D2,L3,V4,M3} { ! coll( X, T, Y ), ! coll( X, T, Z ), coll
% 14.36/14.81 ( Y, Z, X ) }.
% 14.36/14.81 (52094) {G0,W10,D2,L2,V4,M2} { ! para( X, Y, Z, T ), para( X, Y, T, Z )
% 14.36/14.81 }.
% 14.36/14.81 (52095) {G0,W10,D2,L2,V4,M2} { ! para( X, Y, Z, T ), para( Z, T, X, Y )
% 14.36/14.81 }.
% 14.36/14.81 (52096) {G0,W15,D2,L3,V6,M3} { ! para( X, Y, U, W ), ! para( U, W, Z, T )
% 14.36/14.81 , para( X, Y, Z, T ) }.
% 14.36/14.81 (52097) {G0,W10,D2,L2,V4,M2} { ! perp( X, Y, Z, T ), perp( X, Y, T, Z )
% 14.36/14.81 }.
% 14.36/14.81 (52098) {G0,W10,D2,L2,V4,M2} { ! perp( X, Y, Z, T ), perp( Z, T, X, Y )
% 14.36/14.81 }.
% 14.36/14.81 (52099) {G0,W15,D2,L3,V6,M3} { ! perp( X, Y, U, W ), ! perp( U, W, Z, T )
% 14.36/14.81 , para( X, Y, Z, T ) }.
% 14.36/14.81 (52100) {G0,W15,D2,L3,V6,M3} { ! para( X, Y, U, W ), ! perp( U, W, Z, T )
% 14.36/14.81 , perp( X, Y, Z, T ) }.
% 14.36/14.81 (52101) {G0,W8,D2,L2,V3,M2} { ! midp( Z, Y, X ), midp( Z, X, Y ) }.
% 14.36/14.81 (52102) {G0,W15,D2,L3,V4,M3} { ! cong( T, X, T, Y ), ! cong( T, X, T, Z )
% 14.36/14.81 , circle( T, X, Y, Z ) }.
% 14.36/14.81 (52103) {G0,W20,D2,L4,V5,M4} { ! cong( U, X, U, Y ), ! cong( U, X, U, Z )
% 14.36/14.81 , ! cong( U, X, U, T ), cyclic( X, Y, Z, T ) }.
% 14.36/14.81 (52104) {G0,W10,D2,L2,V4,M2} { ! cyclic( X, Y, Z, T ), cyclic( X, Y, T, Z
% 14.36/14.81 ) }.
% 14.36/14.81 (52105) {G0,W10,D2,L2,V4,M2} { ! cyclic( X, Y, Z, T ), cyclic( X, Z, Y, T
% 14.36/14.81 ) }.
% 14.36/14.81 (52106) {G0,W10,D2,L2,V4,M2} { ! cyclic( X, Y, Z, T ), cyclic( Y, X, Z, T
% 14.36/14.81 ) }.
% 14.36/14.81 (52107) {G0,W15,D2,L3,V5,M3} { ! cyclic( U, X, Y, Z ), ! cyclic( U, X, Y,
% 14.36/14.81 T ), cyclic( X, Y, Z, T ) }.
% 14.36/14.81 (52108) {G0,W18,D2,L2,V8,M2} { ! eqangle( X, Y, Z, T, U, W, V0, V1 ),
% 14.36/14.81 eqangle( Y, X, Z, T, U, W, V0, V1 ) }.
% 14.36/14.81 (52109) {G0,W18,D2,L2,V8,M2} { ! eqangle( X, Y, Z, T, U, W, V0, V1 ),
% 14.36/14.81 eqangle( Z, T, X, Y, V0, V1, U, W ) }.
% 14.36/14.81 (52110) {G0,W18,D2,L2,V8,M2} { ! eqangle( X, Y, Z, T, U, W, V0, V1 ),
% 14.36/14.81 eqangle( U, W, V0, V1, X, Y, Z, T ) }.
% 14.36/14.81 (52111) {G0,W18,D2,L2,V8,M2} { ! eqangle( X, Y, Z, T, U, W, V0, V1 ),
% 14.36/14.81 eqangle( X, Y, U, W, Z, T, V0, V1 ) }.
% 14.36/14.81 (52112) {G0,W27,D2,L3,V12,M3} { ! eqangle( X, Y, Z, T, V2, V3, V4, V5 ), !
% 14.36/14.81 eqangle( V2, V3, V4, V5, U, W, V0, V1 ), eqangle( X, Y, Z, T, U, W, V0,
% 14.36/14.81 V1 ) }.
% 14.36/14.81 (52113) {G0,W10,D2,L2,V4,M2} { ! cong( X, Y, Z, T ), cong( X, Y, T, Z )
% 14.36/14.81 }.
% 14.36/14.81 (52114) {G0,W10,D2,L2,V4,M2} { ! cong( X, Y, Z, T ), cong( Z, T, X, Y )
% 14.36/14.81 }.
% 14.36/14.81 (52115) {G0,W15,D2,L3,V6,M3} { ! cong( X, Y, U, W ), ! cong( U, W, Z, T )
% 14.36/14.81 , cong( X, Y, Z, T ) }.
% 14.36/14.81 (52116) {G0,W18,D2,L2,V8,M2} { ! eqratio( X, Y, Z, T, U, W, V0, V1 ),
% 14.36/14.81 eqratio( Y, X, Z, T, U, W, V0, V1 ) }.
% 14.36/14.81 (52117) {G0,W18,D2,L2,V8,M2} { ! eqratio( X, Y, Z, T, U, W, V0, V1 ),
% 14.36/14.81 eqratio( Z, T, X, Y, V0, V1, U, W ) }.
% 14.36/14.81 (52118) {G0,W18,D2,L2,V8,M2} { ! eqratio( X, Y, Z, T, U, W, V0, V1 ),
% 14.36/14.81 eqratio( U, W, V0, V1, X, Y, Z, T ) }.
% 14.36/14.81 (52119) {G0,W18,D2,L2,V8,M2} { ! eqratio( X, Y, Z, T, U, W, V0, V1 ),
% 14.36/14.81 eqratio( X, Y, U, W, Z, T, V0, V1 ) }.
% 14.36/14.81 (52120) {G0,W27,D2,L3,V12,M3} { ! eqratio( X, Y, Z, T, V2, V3, V4, V5 ), !
% 14.36/14.81 eqratio( V2, V3, V4, V5, U, W, V0, V1 ), eqratio( X, Y, Z, T, U, W, V0,
% 14.36/14.81 V1 ) }.
% 14.36/14.81 (52121) {G0,W14,D2,L2,V6,M2} { ! simtri( X, Z, Y, T, W, U ), simtri( X, Y
% 14.36/14.81 , Z, T, U, W ) }.
% 14.36/14.81 (52122) {G0,W14,D2,L2,V6,M2} { ! simtri( Y, X, Z, U, T, W ), simtri( X, Y
% 14.36/14.81 , Z, T, U, W ) }.
% 14.36/14.81 (52123) {G0,W14,D2,L2,V6,M2} { ! simtri( T, U, W, X, Y, Z ), simtri( X, Y
% 14.36/14.81 , Z, T, U, W ) }.
% 14.36/14.81 (52124) {G0,W21,D2,L3,V9,M3} { ! simtri( X, Y, Z, V0, V1, V2 ), ! simtri(
% 14.36/14.81 V0, V1, V2, T, U, W ), simtri( X, Y, Z, T, U, W ) }.
% 14.36/14.81 (52125) {G0,W14,D2,L2,V6,M2} { ! contri( X, Z, Y, T, W, U ), contri( X, Y
% 14.36/14.81 , Z, T, U, W ) }.
% 14.36/14.81 (52126) {G0,W14,D2,L2,V6,M2} { ! contri( Y, X, Z, U, T, W ), contri( X, Y
% 14.36/14.81 , Z, T, U, W ) }.
% 14.36/14.81 (52127) {G0,W14,D2,L2,V6,M2} { ! contri( T, U, W, X, Y, Z ), contri( X, Y
% 14.36/14.81 , Z, T, U, W ) }.
% 14.36/14.81 (52128) {G0,W21,D2,L3,V9,M3} { ! contri( X, Y, Z, V0, V1, V2 ), ! contri(
% 14.36/14.81 V0, V1, V2, T, U, W ), contri( X, Y, Z, T, U, W ) }.
% 14.36/14.81 (52129) {G0,W14,D2,L2,V6,M2} { ! eqangle( X, Y, U, W, Z, T, U, W ), para(
% 14.36/14.81 X, Y, Z, T ) }.
% 14.36/14.81 (52130) {G0,W14,D2,L2,V6,M2} { ! para( X, Y, Z, T ), eqangle( X, Y, U, W,
% 14.36/14.81 Z, T, U, W ) }.
% 14.36/14.81 (52131) {G0,W14,D2,L2,V4,M2} { ! cyclic( X, Y, Z, T ), eqangle( Z, X, Z, Y
% 14.36/14.81 , T, X, T, Y ) }.
% 14.36/14.81 (52132) {G0,W18,D2,L3,V4,M3} { ! eqangle( Z, X, Z, Y, T, X, T, Y ), coll(
% 14.36/14.81 Z, T, X ), cyclic( X, Y, Z, T ) }.
% 14.36/14.81 (52133) {G0,W18,D2,L3,V4,M3} { ! eqangle( Z, X, Z, Y, T, X, T, Y ), ! coll
% 14.36/14.81 ( Z, T, Y ), cyclic( X, Y, Z, T ) }.
% 14.36/14.81 (52134) {G0,W29,D2,L5,V6,M5} { ! cyclic( X, Y, U, Z ), ! cyclic( X, Y, U,
% 14.36/14.81 T ), ! cyclic( X, Y, U, W ), ! eqangle( U, X, U, Y, W, Z, W, T ), cong( X
% 14.36/14.81 , Y, Z, T ) }.
% 14.36/14.81 (52135) {G0,W13,D2,L3,V5,M3} { ! midp( Z, U, X ), ! midp( T, U, Y ), para
% 14.36/14.81 ( Z, T, X, Y ) }.
% 14.36/14.81 (52136) {G0,W17,D2,L4,V5,M4} { ! midp( U, X, T ), ! para( U, Z, T, Y ), !
% 14.36/14.81 coll( Z, X, Y ), midp( Z, X, Y ) }.
% 14.36/14.81 (52137) {G0,W14,D2,L2,V3,M2} { ! cong( Z, X, Z, Y ), eqangle( Z, X, X, Y,
% 14.36/14.81 X, Y, Z, Y ) }.
% 14.36/14.81 (52138) {G0,W18,D2,L3,V3,M3} { ! eqangle( Z, X, X, Y, X, Y, Z, Y ), coll(
% 14.36/14.81 Z, X, Y ), cong( Z, X, Z, Y ) }.
% 14.36/14.81 (52139) {G0,W19,D2,L3,V5,M3} { ! circle( U, X, Y, Z ), ! perp( U, X, X, T
% 14.36/14.81 ), eqangle( X, T, X, Y, Z, X, Z, Y ) }.
% 14.36/14.81 (52140) {G0,W19,D2,L3,V5,M3} { ! circle( Y, X, T, U ), ! eqangle( X, Z, X
% 14.36/14.81 , T, U, X, U, T ), perp( Y, X, X, Z ) }.
% 14.36/14.81 (52141) {G0,W18,D2,L3,V5,M3} { ! circle( T, X, Y, Z ), ! midp( U, Y, Z ),
% 14.36/14.81 eqangle( X, Y, X, Z, T, Y, T, U ) }.
% 14.36/14.81 (52142) {G0,W22,D2,L4,V5,M4} { ! circle( U, T, X, Y ), ! coll( Z, X, Y ),
% 14.36/14.81 ! eqangle( T, X, T, Y, U, X, U, Z ), midp( Z, X, Y ) }.
% 14.36/14.81 (52143) {G0,W14,D2,L3,V4,M3} { ! perp( X, Y, Y, T ), ! midp( Z, X, T ),
% 14.36/14.81 cong( X, Z, Y, Z ) }.
% 14.36/14.81 (52144) {G0,W14,D2,L3,V4,M3} { ! circle( T, X, Y, Z ), ! coll( T, X, Z ),
% 14.36/14.81 perp( X, Y, Y, Z ) }.
% 14.36/14.81 (52145) {G0,W19,D2,L3,V4,M3} { ! cyclic( X, Y, Z, T ), ! para( X, Y, Z, T
% 14.36/14.81 ), eqangle( X, T, Z, T, Z, T, Z, Y ) }.
% 14.36/14.81 (52146) {G0,W14,D2,L3,V4,M3} { ! midp( T, X, Y ), ! perp( Z, T, X, Y ),
% 14.36/14.81 cong( Z, X, Z, Y ) }.
% 14.36/14.81 (52147) {G0,W15,D2,L3,V4,M3} { ! cong( X, Z, Y, Z ), ! cong( X, T, Y, T )
% 14.36/14.81 , perp( X, Y, Z, T ) }.
% 14.36/14.81 (52148) {G0,W20,D2,L4,V4,M4} { ! cong( X, Y, T, Y ), ! cong( X, Z, T, Z )
% 14.36/14.81 , ! cyclic( X, T, Y, Z ), perp( Y, X, X, Z ) }.
% 14.36/14.81 (52149) {G0,W29,D2,L4,V6,M4} { ! eqangle( X, Y, Y, Z, T, U, U, W ), !
% 14.36/14.81 eqangle( X, Z, Y, Z, T, W, U, W ), coll( X, Y, Z ), simtri( X, Y, Z, T, U
% 14.36/14.81 , W ) }.
% 14.36/14.81 (52150) {G0,W16,D2,L2,V6,M2} { ! simtri( X, Y, Z, T, U, W ), eqratio( X, Y
% 14.36/14.81 , X, Z, T, U, T, W ) }.
% 14.36/14.81 (52151) {G0,W16,D2,L2,V6,M2} { ! simtri( X, Y, Z, T, U, W ), eqangle( X, Y
% 14.36/14.81 , Y, Z, T, U, U, W ) }.
% 14.36/14.81 (52152) {G0,W19,D2,L3,V6,M3} { ! simtri( X, Y, Z, T, U, W ), ! cong( X, Y
% 14.36/14.81 , T, U ), contri( X, Y, Z, T, U, W ) }.
% 14.36/14.81 (52153) {G0,W12,D2,L2,V6,M2} { ! contri( X, Y, U, Z, T, W ), cong( X, Y, Z
% 14.36/14.81 , T ) }.
% 14.36/14.81 (52154) {G0,W13,D2,L3,V5,M3} { ! midp( U, X, Y ), ! midp( U, Z, T ), para
% 14.36/14.81 ( X, Z, Y, T ) }.
% 14.36/14.81 (52155) {G0,W18,D2,L4,V5,M4} { ! midp( Z, T, U ), ! para( T, X, U, Y ), !
% 14.36/14.81 para( T, Y, U, X ), midp( Z, X, Y ) }.
% 14.36/14.81 (52156) {G0,W22,D2,L4,V5,M4} { ! para( X, Y, Z, T ), ! coll( U, X, Z ), !
% 14.36/14.81 coll( U, Y, T ), eqratio( U, X, X, Z, U, Y, Y, T ) }.
% 14.36/14.81 (52157) {G0,W9,D2,L2,V3,M2} { ! para( X, Y, X, Z ), coll( X, Y, Z ) }.
% 14.36/14.81 (52158) {G0,W13,D2,L3,V3,M3} { ! cong( X, Y, X, Z ), ! coll( X, Y, Z ),
% 14.36/14.81 midp( X, Y, Z ) }.
% 14.36/14.81 (52159) {G0,W9,D2,L2,V3,M2} { ! midp( X, Y, Z ), cong( X, Y, X, Z ) }.
% 14.36/14.81 (52160) {G0,W8,D2,L2,V3,M2} { ! midp( X, Y, Z ), coll( X, Y, Z ) }.
% 14.36/14.81 (52161) {G0,W17,D2,L3,V6,M3} { ! midp( U, X, Y ), ! midp( W, Z, T ),
% 14.36/14.81 eqratio( U, X, X, Y, W, Z, Z, T ) }.
% 14.36/14.81 (52162) {G0,W19,D2,L3,V4,M3} { ! eqangle( X, Y, Z, T, Z, T, X, Y ), para(
% 14.36/14.81 X, Y, Z, T ), perp( X, Y, Z, T ) }.
% 14.36/14.81 (52163) {G0,W19,D2,L3,V4,M3} { ! eqangle( X, Y, Z, T, Z, T, X, Y ), perp(
% 14.36/14.81 X, Y, Z, T ), para( X, Y, Z, T ) }.
% 14.36/14.81 (52164) {G0,W19,D2,L3,V8,M3} { ! eqangle( X, Y, Z, T, U, W, V0, V1 ), !
% 14.36/14.81 para( U, W, V0, V1 ), para( X, Y, Z, T ) }.
% 14.36/14.81 (52165) {G0,W19,D2,L3,V8,M3} { ! eqangle( X, Y, Z, T, U, W, V0, V1 ), !
% 14.36/14.81 perp( U, W, V0, V1 ), perp( X, Y, Z, T ) }.
% 14.36/14.81 (52166) {G0,W19,D2,L3,V8,M3} { ! eqratio( X, Y, Z, T, U, W, V0, V1 ), !
% 14.36/14.81 cong( U, W, V0, V1 ), cong( X, Y, Z, T ) }.
% 14.36/14.81 (52167) {G0,W22,D3,L3,V6,M3} { ! perp( Z, Y, Y, X ), ! eqangle( T, Z, Y, Z
% 14.36/14.81 , Y, Z, X, Z ), coll( skol1( U, W, Z, T ), Z, T ) }.
% 14.36/14.81 (52168) {G0,W22,D3,L3,V4,M3} { ! perp( Z, Y, Y, X ), ! eqangle( T, Z, Y, Z
% 14.36/14.81 , Y, Z, X, Z ), coll( skol1( X, Y, Z, T ), X, Y ) }.
% 14.36/14.81 (52169) {G0,W22,D3,L3,V6,M3} { ! cong( Z, X, Z, Y ), ! eqangle( X, Z, Z, T
% 14.36/14.81 , Z, T, Z, Y ), coll( skol2( U, W, Z, T ), Z, T ) }.
% 14.36/14.81 (52170) {G0,W22,D3,L3,V4,M3} { ! cong( Z, X, Z, Y ), ! eqangle( X, Z, Z, T
% 14.36/14.81 , Z, T, Z, Y ), coll( Y, X, skol2( X, Y, Z, T ) ) }.
% 14.36/14.81 (52171) {G0,W22,D3,L3,V6,M3} { ! perp( Z, T, X, Y ), ! eqangle( X, Z, Z, T
% 14.36/14.81 , Z, T, Z, Y ), coll( skol3( U, W, Z, T ), Z, T ) }.
% 14.36/14.81 (52172) {G0,W22,D3,L3,V4,M3} { ! perp( Z, T, X, Y ), ! eqangle( X, Z, Z, T
% 14.36/14.81 , Z, T, Z, Y ), coll( Y, X, skol3( X, Y, Z, T ) ) }.
% 14.36/14.81 (52173) {G0,W18,D3,L3,V6,M3} { ! perp( Z, T, X, Y ), ! cong( Z, X, Z, Y )
% 14.36/14.81 , coll( skol4( U, W, Z, T ), Z, T ) }.
% 14.36/14.81 (52174) {G0,W18,D3,L3,V4,M3} { ! perp( Z, T, X, Y ), ! cong( Z, X, Z, Y )
% 14.36/14.81 , coll( Y, X, skol4( X, Y, Z, T ) ) }.
% 14.36/14.81 (52175) {G0,W22,D3,L3,V6,M3} { ! eqangle( X, Z, Y, Z, X, T, Y, U ), coll(
% 14.36/14.81 X, Y, Z ), cyclic( T, Y, Z, skol5( W, Y, Z, T ) ) }.
% 14.36/14.81 (52176) {G0,W30,D3,L3,V5,M3} { ! eqangle( X, Z, Y, Z, X, T, Y, U ), coll(
% 14.36/14.81 X, Y, Z ), eqangle( X, Z, Y, Z, X, skol5( X, Y, Z, T ), Y, skol5( X, Y, Z
% 14.36/14.81 , T ) ) }.
% 14.36/14.81 (52177) {G0,W18,D3,L3,V10,M3} { ! midp( U, X, Y ), ! midp( W, Z, T ), midp
% 14.36/14.81 ( skol6( X, V0, V1, T, V2, V3 ), X, T ) }.
% 14.36/14.81 (52178) {G0,W19,D3,L3,V8,M3} { ! midp( U, X, Y ), ! midp( W, Z, T ), para
% 14.36/14.81 ( skol6( X, V0, Z, T, V1, W ), W, X, Z ) }.
% 14.36/14.81 (52179) {G0,W19,D3,L3,V6,M3} { ! midp( U, X, Y ), ! midp( W, Z, T ), para
% 14.36/14.81 ( skol6( X, Y, Z, T, U, W ), U, Y, T ) }.
% 14.36/14.81 (52180) {G0,W22,D3,L5,V7,M5} { ! midp( Z, X, Y ), ! midp( W, T, U ), !
% 14.36/14.81 coll( T, X, Y ), ! coll( U, X, Y ), midp( skol7( X, V0 ), X, V0 ) }.
% 14.36/14.81 (52181) {G0,W26,D3,L5,V8,M5} { ! midp( T, X, U ), ! para( X, W, Z, T ), !
% 14.36/14.81 para( X, W, U, Y ), ! coll( W, Y, Z ), coll( skol8( V0, V1, Z, T ), T, Z
% 14.36/14.81 ) }.
% 14.36/14.81 (52182) {G0,W26,D3,L5,V6,M5} { ! midp( T, X, U ), ! para( X, W, Z, T ), !
% 14.36/14.81 para( X, W, U, Y ), ! coll( W, Y, Z ), coll( skol8( X, Y, Z, T ), X, Y )
% 14.36/14.81 }.
% 14.36/14.81 (52183) {G0,W19,D3,L3,V7,M3} { ! cong( T, Z, T, U ), ! perp( X, Y, Y, T )
% 14.36/14.81 , cong( T, Z, T, skol9( W, V0, Z, T ) ) }.
% 14.36/14.81 (52184) {G0,W19,D3,L3,V6,M3} { ! cong( T, Z, T, U ), ! perp( X, Y, Y, T )
% 14.36/14.81 , cong( Y, Z, Y, skol9( W, Y, Z, T ) ) }.
% 14.36/14.81 (52185) {G0,W19,D3,L3,V5,M3} { ! cong( T, Z, T, U ), ! perp( X, Y, Y, T )
% 14.36/14.81 , para( skol9( X, Y, Z, T ), Z, X, Y ) }.
% 14.36/14.81 (52186) {G0,W17,D3,L3,V5,M3} { ! perp( X, T, Y, Z ), ! perp( Y, T, X, Z )
% 14.36/14.81 , coll( skol10( U, Y, Z ), Z, Y ) }.
% 14.36/14.81 (52187) {G0,W18,D3,L3,V4,M3} { ! perp( X, T, Y, Z ), ! perp( Y, T, X, Z )
% 14.36/14.81 , perp( X, skol10( X, Y, Z ), Z, Y ) }.
% 14.36/14.81 (52188) {G0,W14,D2,L3,V4,M3} { ! perp( X, T, Y, Z ), ! perp( Y, T, X, Z )
% 14.36/14.81 , alpha1( X, Y, Z ) }.
% 14.36/14.81 (52189) {G0,W11,D3,L2,V4,M2} { ! alpha1( X, Y, Z ), coll( skol11( X, T, Z
% 14.36/14.81 ), Z, X ) }.
% 14.36/14.81 (52190) {G0,W12,D3,L2,V3,M2} { ! alpha1( X, Y, Z ), perp( Y, skol11( X, Y
% 14.36/14.81 , Z ), Z, X ) }.
% 14.36/14.81 (52191) {G0,W13,D2,L3,V4,M3} { ! coll( T, Z, X ), ! perp( Y, T, Z, X ),
% 14.36/14.81 alpha1( X, Y, Z ) }.
% 14.36/14.81 (52192) {G0,W12,D3,L2,V4,M2} { ! circle( Y, X, Z, T ), perp( skol12( X, Y
% 14.36/14.81 ), X, X, Y ) }.
% 14.36/14.81 (52193) {G0,W28,D3,L5,V8,M5} { ! circle( W, X, Y, Z ), ! cong( W, X, W, T
% 14.36/14.81 ), ! cong( U, X, U, Y ), W = U, alpha2( X, Z, U, skol13( X, V0, Z, V1, U
% 14.36/14.81 ) ) }.
% 14.36/14.81 (52194) {G0,W26,D3,L5,V8,M5} { ! circle( W, X, Y, Z ), ! cong( W, X, W, T
% 14.36/14.81 ), ! cong( U, X, U, Y ), W = U, coll( skol21( V0, Y, T, V1 ), Y, T ) }.
% 14.36/14.81 (52195) {G0,W27,D3,L5,V6,M5} { ! circle( W, X, Y, Z ), ! cong( W, X, W, T
% 14.36/14.81 ), ! cong( U, X, U, Y ), W = U, cong( skol21( X, Y, T, U ), U, U, X )
% 14.36/14.81 }.
% 14.36/14.81 (52196) {G0,W9,D2,L2,V4,M2} { ! alpha2( X, Y, Z, T ), coll( T, X, Y ) }.
% 14.36/14.81 (52197) {G0,W10,D2,L2,V4,M2} { ! alpha2( X, Y, Z, T ), cong( T, Z, Z, X )
% 14.36/14.81 }.
% 14.36/14.81 (52198) {G0,W14,D2,L3,V4,M3} { ! coll( T, X, Y ), ! cong( T, Z, Z, X ),
% 14.36/14.81 alpha2( X, Y, Z, T ) }.
% 14.36/14.81 (52199) {G0,W22,D3,L4,V5,M4} { ! cyclic( X, Y, Z, T ), ! para( X, Y, Z, T
% 14.36/14.81 ), ! midp( U, X, Y ), circle( skol14( X, Y, Z ), X, Y, Z ) }.
% 14.36/14.81 (52200) {G0,W18,D3,L3,V4,M3} { ! perp( X, Z, Z, Y ), ! cyclic( X, Y, Z, T
% 14.36/14.81 ), circle( skol15( X, Y, Z ), X, Y, Z ) }.
% 14.36/14.81 (52201) {G0,W16,D3,L3,V6,M3} { ! perp( X, U, U, T ), ! coll( T, Y, Z ),
% 14.36/14.81 coll( skol16( W, Y, Z ), Y, Z ) }.
% 14.36/14.81 (52202) {G0,W17,D3,L3,V5,M3} { ! perp( X, U, U, T ), ! coll( T, Y, Z ),
% 14.36/14.81 perp( skol16( X, Y, Z ), X, Y, Z ) }.
% 14.36/14.81 (52203) {G0,W20,D3,L4,V5,M4} { ! perp( X, Z, X, Y ), ! perp( Y, X, Y, T )
% 14.36/14.81 , ! midp( U, Z, T ), midp( skol17( X, Y ), X, Y ) }.
% 14.36/14.81 (52204) {G0,W16,D3,L3,V3,M3} { ! cong( Y, X, Y, Z ), ! perp( X, Y, Y, Z )
% 14.36/14.81 , coll( X, Y, skol18( X, Y ) ) }.
% 14.36/14.81 (52205) {G0,W17,D3,L3,V3,M3} { ! cong( Y, X, Y, Z ), ! perp( X, Y, Y, Z )
% 14.36/14.81 , cong( Y, X, Y, skol18( X, Y ) ) }.
% 14.36/14.81 (52206) {G0,W25,D3,L5,V8,M5} { ! para( U, W, X, Y ), ! coll( Z, U, X ), !
% 14.36/14.81 coll( Z, W, Y ), ! coll( T, U, W ), coll( Z, T, skol19( V0, V1, Z, T ) )
% 14.36/14.81 }.
% 14.36/14.81 (52207) {G0,W25,D3,L5,V6,M5} { ! para( U, W, X, Y ), ! coll( Z, U, X ), !
% 14.36/14.81 coll( Z, W, Y ), ! coll( T, U, W ), coll( skol19( X, Y, Z, T ), X, Y )
% 14.36/14.81 }.
% 14.36/14.81 (52208) {G0,W5,D2,L1,V0,M1} { circle( skol28, skol25, skol26, skol27 ) }.
% 14.36/14.81 (52209) {G0,W5,D2,L1,V0,M1} { circle( skol28, skol25, skol29, skol30 ) }.
% 14.36/14.81 (52210) {G0,W5,D2,L1,V0,M1} { circle( skol28, skol25, skol20, skol31 ) }.
% 14.36/14.81 (52211) {G0,W5,D2,L1,V0,M1} { perp( skol32, skol20, skol25, skol29 ) }.
% 14.36/14.81 (52212) {G0,W4,D2,L1,V0,M1} { coll( skol32, skol25, skol29 ) }.
% 14.36/14.81 (52213) {G0,W5,D2,L1,V0,M1} { perp( skol22, skol20, skol25, skol26 ) }.
% 14.36/14.81 (52214) {G0,W4,D2,L1,V0,M1} { coll( skol22, skol25, skol26 ) }.
% 14.36/14.81 (52215) {G0,W5,D2,L1,V0,M1} { perp( skol23, skol20, skol26, skol27 ) }.
% 14.36/14.81 (52216) {G0,W4,D2,L1,V0,M1} { coll( skol23, skol26, skol27 ) }.
% 14.36/14.81 (52217) {G0,W5,D2,L1,V0,M1} { perp( skol33, skol20, skol27, skol29 ) }.
% 14.36/14.81 (52218) {G0,W4,D2,L1,V0,M1} { coll( skol33, skol27, skol29 ) }.
% 14.36/14.81 (52219) {G0,W4,D2,L1,V0,M1} { coll( skol24, skol32, skol22 ) }.
% 14.36/14.81 (52220) {G0,W4,D2,L1,V0,M1} { coll( skol24, skol23, skol33 ) }.
% 14.36/14.81 (52221) {G0,W5,D2,L1,V0,M1} { ! cyclic( skol20, skol22, skol24, skol23 )
% 14.36/14.81 }.
% 14.36/14.81
% 14.36/14.81
% 14.36/14.81 Total Proof:
% 14.36/14.81
% 14.36/14.81 subsumption: (0) {G0,W8,D2,L2,V3,M2} I { ! coll( X, Y, Z ), coll( X, Z, Y )
% 14.36/14.81 }.
% 14.36/14.81 parent0: (52091) {G0,W8,D2,L2,V3,M2} { ! coll( X, Y, Z ), coll( X, Z, Y )
% 14.36/14.81 }.
% 14.36/14.81 substitution0:
% 14.36/14.81 X := X
% 14.36/14.81 Y := Y
% 14.36/14.81 Z := Z
% 14.36/14.81 end
% 14.36/14.81 permutation0:
% 14.36/14.81 0 ==> 0
% 14.36/14.81 1 ==> 1
% 14.36/14.81 end
% 14.36/14.81
% 14.36/14.81 subsumption: (1) {G0,W8,D2,L2,V3,M2} I { ! coll( X, Y, Z ), coll( Y, X, Z )
% 14.36/14.81 }.
% 14.36/14.81 parent0: (52092) {G0,W8,D2,L2,V3,M2} { ! coll( X, Y, Z ), coll( Y, X, Z )
% 14.36/14.81 }.
% 14.36/14.81 substitution0:
% 14.36/14.81 X := X
% 14.36/14.81 Y := Y
% 14.36/14.81 Z := Z
% 14.36/14.81 end
% 14.36/14.81 permutation0:
% 14.36/14.81 0 ==> 0
% 14.36/14.81 1 ==> 1
% 14.36/14.81 end
% 14.36/14.81
% 14.36/14.81 subsumption: (2) {G0,W12,D2,L3,V4,M3} I { ! coll( X, T, Y ), ! coll( X, T,
% 14.36/14.81 Z ), coll( Y, Z, X ) }.
% 14.36/14.81 parent0: (52093) {G0,W12,D2,L3,V4,M3} { ! coll( X, T, Y ), ! coll( X, T, Z
% 14.36/14.81 ), coll( Y, Z, X ) }.
% 14.36/14.81 substitution0:
% 14.36/14.81 X := X
% 14.36/14.81 Y := Y
% 14.36/14.81 Z := Z
% 14.36/14.81 T := T
% 14.36/14.81 end
% 14.36/14.81 permutation0:
% 14.36/14.81 0 ==> 0
% 14.36/14.81 1 ==> 1
% 14.36/14.81 2 ==> 2
% 14.36/14.81 end
% 14.36/14.81
% 14.36/14.81 subsumption: (6) {G0,W10,D2,L2,V4,M2} I { ! perp( X, Y, Z, T ), perp( X, Y
% 14.36/14.81 , T, Z ) }.
% 14.36/14.81 parent0: (52097) {G0,W10,D2,L2,V4,M2} { ! perp( X, Y, Z, T ), perp( X, Y,
% 14.36/14.81 T, Z ) }.
% 14.36/14.81 substitution0:
% 14.36/14.81 X := X
% 14.36/14.81 Y := Y
% 14.36/14.81 Z := Z
% 14.36/14.81 T := T
% 14.36/14.81 end
% 14.36/14.81 permutation0:
% 14.36/14.81 0 ==> 0
% 14.36/14.81 1 ==> 1
% 14.36/14.81 end
% 14.36/14.81
% 14.36/14.81 subsumption: (7) {G0,W10,D2,L2,V4,M2} I { ! perp( X, Y, Z, T ), perp( Z, T
% 14.36/14.81 , X, Y ) }.
% 14.36/14.81 parent0: (52098) {G0,W10,D2,L2,V4,M2} { ! perp( X, Y, Z, T ), perp( Z, T,
% 14.36/14.81 X, Y ) }.
% 14.36/14.81 substitution0:
% 14.36/14.81 X := X
% 14.36/14.81 Y := Y
% 14.36/14.81 Z := Z
% 14.36/14.81 T := T
% 14.36/14.81 end
% 14.36/14.81 permutation0:
% 14.36/14.81 0 ==> 0
% 14.36/14.81 1 ==> 1
% 14.36/14.81 end
% 14.36/14.81
% 14.36/14.81 subsumption: (8) {G0,W15,D2,L3,V6,M3} I { ! perp( X, Y, U, W ), ! perp( U,
% 14.36/14.81 W, Z, T ), para( X, Y, Z, T ) }.
% 14.36/14.81 parent0: (52099) {G0,W15,D2,L3,V6,M3} { ! perp( X, Y, U, W ), ! perp( U, W
% 14.36/14.81 , Z, T ), para( X, Y, Z, T ) }.
% 14.36/14.81 substitution0:
% 14.36/14.81 X := X
% 14.36/14.81 Y := Y
% 14.36/14.81 Z := Z
% 14.36/14.81 T := T
% 14.36/14.81 U := U
% 14.36/14.81 W := W
% 14.36/14.81 end
% 14.36/14.81 permutation0:
% 14.36/14.81 0 ==> 0
% 14.36/14.81 1 ==> 1
% 14.36/14.81 2 ==> 2
% 14.36/14.81 end
% 14.36/14.81
% 14.36/14.81 subsumption: (13) {G0,W10,D2,L2,V4,M2} I { ! cyclic( X, Y, Z, T ), cyclic(
% 14.36/14.81 X, Y, T, Z ) }.
% 14.36/14.81 parent0: (52104) {G0,W10,D2,L2,V4,M2} { ! cyclic( X, Y, Z, T ), cyclic( X
% 14.36/14.81 , Y, T, Z ) }.
% 14.36/14.81 substitution0:
% 14.36/14.81 X := X
% 14.36/14.81 Y := Y
% 14.36/14.81 Z := Z
% 14.36/14.81 T := T
% 14.36/14.81 end
% 14.36/14.81 permutation0:
% 14.36/14.81 0 ==> 0
% 14.36/14.81 1 ==> 1
% 14.36/14.81 end
% 14.36/14.81
% 14.36/14.81 subsumption: (14) {G0,W10,D2,L2,V4,M2} I { ! cyclic( X, Y, Z, T ), cyclic(
% 14.36/14.81 X, Z, Y, T ) }.
% 14.36/14.81 parent0: (52105) {G0,W10,D2,L2,V4,M2} { ! cyclic( X, Y, Z, T ), cyclic( X
% 14.36/14.81 , Z, Y, T ) }.
% 14.36/14.81 substitution0:
% 14.36/14.81 X := X
% 14.36/14.81 Y := Y
% 14.36/14.81 Z := Z
% 14.36/14.81 T := T
% 14.36/14.81 end
% 14.36/14.81 permutation0:
% 14.36/14.81 0 ==> 0
% 14.36/14.81 1 ==> 1
% 14.36/14.81 end
% 14.36/14.81
% 14.36/14.81 subsumption: (15) {G0,W10,D2,L2,V4,M2} I { ! cyclic( X, Y, Z, T ), cyclic(
% 14.36/14.81 Y, X, Z, T ) }.
% 14.36/14.81 parent0: (52106) {G0,W10,D2,L2,V4,M2} { ! cyclic( X, Y, Z, T ), cyclic( Y
% 14.36/14.81 , X, Z, T ) }.
% 14.36/14.81 substitution0:
% 14.36/14.81 X := X
% 14.36/14.81 Y := Y
% 14.36/14.81 Z := Z
% 14.36/14.81 T := T
% 14.36/14.81 end
% 14.36/14.81 permutation0:
% 14.36/14.81 0 ==> 0
% 14.36/14.81 1 ==> 1
% 14.36/14.81 end
% 14.36/14.81
% 14.36/14.81 subsumption: (16) {G0,W15,D2,L3,V5,M3} I { ! cyclic( U, X, Y, Z ), ! cyclic
% 14.36/14.81 ( U, X, Y, T ), cyclic( X, Y, Z, T ) }.
% 14.36/14.81 parent0: (52107) {G0,W15,D2,L3,V5,M3} { ! cyclic( U, X, Y, Z ), ! cyclic(
% 14.36/14.81 U, X, Y, T ), cyclic( X, Y, Z, T ) }.
% 14.36/14.81 substitution0:
% 14.36/14.81 X := X
% 14.36/14.81 Y := Y
% 14.36/14.81 Z := Z
% 14.36/14.81 T := T
% 14.36/14.81 U := U
% 14.36/14.81 end
% 14.36/14.81 permutation0:
% 14.36/14.81 0 ==> 0
% 14.36/14.81 1 ==> 1
% 14.36/14.81 2 ==> 2
% 14.36/14.81 end
% 14.36/14.81
% 14.36/14.81 subsumption: (18) {G0,W18,D2,L2,V8,M2} I { ! eqangle( X, Y, Z, T, U, W, V0
% 14.36/14.81 , V1 ), eqangle( Z, T, X, Y, V0, V1, U, W ) }.
% 14.36/14.81 parent0: (52109) {G0,W18,D2,L2,V8,M2} { ! eqangle( X, Y, Z, T, U, W, V0,
% 14.36/14.81 V1 ), eqangle( Z, T, X, Y, V0, V1, U, W ) }.
% 14.36/14.81 substitution0:
% 14.36/14.81 X := X
% 14.36/14.81 Y := Y
% 14.36/14.81 Z := Z
% 14.36/14.81 T := T
% 14.36/14.81 U := U
% 14.36/14.81 W := W
% 14.36/14.81 V0 := V0
% 14.36/14.81 V1 := V1
% 14.36/14.81 end
% 14.36/14.81 permutation0:
% 14.36/14.81 0 ==> 0
% 14.36/14.81 1 ==> 1
% 14.36/14.81 end
% 14.36/14.81
% 14.36/14.81 subsumption: (19) {G0,W18,D2,L2,V8,M2} I { ! eqangle( X, Y, Z, T, U, W, V0
% 14.36/14.81 , V1 ), eqangle( U, W, V0, V1, X, Y, Z, T ) }.
% 14.36/14.81 parent0: (52110) {G0,W18,D2,L2,V8,M2} { ! eqangle( X, Y, Z, T, U, W, V0,
% 14.36/14.81 V1 ), eqangle( U, W, V0, V1, X, Y, Z, T ) }.
% 14.36/14.81 substitution0:
% 14.36/14.81 X := X
% 14.36/14.81 Y := Y
% 14.36/14.81 Z := Z
% 14.36/14.81 T := T
% 14.36/14.81 U := U
% 14.36/14.81 W := W
% 14.36/14.81 V0 := V0
% 14.36/14.81 V1 := V1
% 14.36/14.81 end
% 14.36/14.81 permutation0:
% 14.36/14.81 0 ==> 0
% 14.36/14.81 1 ==> 1
% 14.36/14.81 end
% 14.36/14.81
% 14.36/14.81 subsumption: (39) {G0,W14,D2,L2,V6,M2} I { ! para( X, Y, Z, T ), eqangle( X
% 14.36/14.81 , Y, U, W, Z, T, U, W ) }.
% 14.36/14.81 parent0: (52130) {G0,W14,D2,L2,V6,M2} { ! para( X, Y, Z, T ), eqangle( X,
% 14.36/14.81 Y, U, W, Z, T, U, W ) }.
% 14.36/14.81 substitution0:
% 14.36/14.81 X := X
% 14.36/14.81 Y := Y
% 14.36/14.81 Z := Z
% 14.36/14.81 T := T
% 14.36/14.81 U := U
% 14.36/14.81 W := W
% 14.36/14.81 end
% 14.36/14.81 permutation0:
% 14.36/14.81 0 ==> 0
% 14.36/14.81 1 ==> 1
% 14.36/14.81 end
% 14.36/14.81
% 14.36/14.81 subsumption: (40) {G0,W14,D2,L2,V4,M2} I { ! cyclic( X, Y, Z, T ), eqangle
% 14.36/14.81 ( Z, X, Z, Y, T, X, T, Y ) }.
% 14.36/14.81 parent0: (52131) {G0,W14,D2,L2,V4,M2} { ! cyclic( X, Y, Z, T ), eqangle( Z
% 14.36/14.81 , X, Z, Y, T, X, T, Y ) }.
% 14.36/14.81 substitution0:
% 14.36/14.81 X := X
% 14.36/14.81 Y := Y
% 14.36/14.81 Z := Z
% 14.36/14.81 T := T
% 14.36/14.81 end
% 14.36/14.81 permutation0:
% 14.36/14.81 0 ==> 0
% 14.36/14.81 1 ==> 1
% 14.36/14.81 end
% 14.36/14.81
% 14.36/14.81 subsumption: (42) {G0,W18,D2,L3,V4,M3} I { ! eqangle( Z, X, Z, Y, T, X, T,
% 14.36/14.81 Y ), ! coll( Z, T, Y ), cyclic( X, Y, Z, T ) }.
% 14.36/14.81 parent0: (52133) {G0,W18,D2,L3,V4,M3} { ! eqangle( Z, X, Z, Y, T, X, T, Y
% 14.36/14.81 ), ! coll( Z, T, Y ), cyclic( X, Y, Z, T ) }.
% 14.36/14.81 substitution0:
% 14.36/14.81 X := X
% 14.36/14.81 Y := Y
% 14.36/14.81 Z := Z
% 14.36/14.81 T := T
% 14.36/14.81 end
% 14.36/14.81 permutation0:
% 14.36/14.81 0 ==> 0
% 14.36/14.81 1 ==> 1
% 14.36/14.81 2 ==> 2
% 14.36/14.81 end
% 14.36/14.81
% 14.36/14.81 subsumption: (123) {G0,W5,D2,L1,V0,M1} I { perp( skol23, skol20, skol26,
% 14.36/14.81 skol27 ) }.
% 14.36/14.81 parent0: (52215) {G0,W5,D2,L1,V0,M1} { perp( skol23, skol20, skol26,
% 14.36/14.81 skol27 ) }.
% 14.36/14.81 substitution0:
% 14.36/14.81 end
% 14.36/14.81 permutation0:
% 14.36/14.81 0 ==> 0
% 14.36/14.81 end
% 14.36/14.81
% 14.36/14.81 subsumption: (124) {G0,W4,D2,L1,V0,M1} I { coll( skol23, skol26, skol27 )
% 14.36/14.81 }.
% 14.36/14.81 parent0: (52216) {G0,W4,D2,L1,V0,M1} { coll( skol23, skol26, skol27 ) }.
% 14.36/14.81 substitution0:
% 14.36/14.81 end
% 14.36/14.81 permutation0:
% 14.36/14.81 0 ==> 0
% 14.36/14.81 end
% 14.36/14.81
% 14.36/14.81 subsumption: (129) {G0,W5,D2,L1,V0,M1} I { ! cyclic( skol20, skol22, skol24
% 14.36/14.81 , skol23 ) }.
% 14.36/14.81 parent0: (52221) {G0,W5,D2,L1,V0,M1} { ! cyclic( skol20, skol22, skol24,
% 14.36/14.81 skol23 ) }.
% 14.36/14.81 substitution0:
% 14.36/14.81 end
% 14.36/14.81 permutation0:
% 14.36/14.81 0 ==> 0
% 14.36/14.81 end
% 14.36/14.81
% 14.36/14.81 resolution: (52479) {G1,W4,D2,L1,V0,M1} { coll( skol23, skol27, skol26 )
% 14.36/14.81 }.
% 14.36/14.81 parent0[0]: (0) {G0,W8,D2,L2,V3,M2} I { ! coll( X, Y, Z ), coll( X, Z, Y )
% 14.36/14.81 }.
% 14.36/14.81 parent1[0]: (124) {G0,W4,D2,L1,V0,M1} I { coll( skol23, skol26, skol27 )
% 14.36/14.81 }.
% 14.36/14.81 substitution0:
% 14.36/14.81 X := skol23
% 14.36/14.81 Y := skol26
% 14.36/14.81 Z := skol27
% 14.36/14.81 end
% 14.36/14.81 substitution1:
% 14.36/14.81 end
% 14.36/14.81
% 14.36/14.81 subsumption: (168) {G1,W4,D2,L1,V0,M1} R(0,124) { coll( skol23, skol27,
% 14.36/14.81 skol26 ) }.
% 14.36/14.81 parent0: (52479) {G1,W4,D2,L1,V0,M1} { coll( skol23, skol27, skol26 ) }.
% 14.36/14.81 substitution0:
% 14.36/14.81 end
% 14.36/14.81 permutation0:
% 14.36/14.81 0 ==> 0
% 14.36/14.81 end
% 14.36/14.81
% 14.36/14.81 resolution: (52480) {G1,W4,D2,L1,V0,M1} { coll( skol27, skol23, skol26 )
% 14.36/14.81 }.
% 14.36/14.81 parent0[0]: (1) {G0,W8,D2,L2,V3,M2} I { ! coll( X, Y, Z ), coll( Y, X, Z )
% 14.36/14.81 }.
% 14.36/14.81 parent1[0]: (168) {G1,W4,D2,L1,V0,M1} R(0,124) { coll( skol23, skol27,
% 14.36/14.81 skol26 ) }.
% 14.36/14.81 substitution0:
% 14.36/14.81 X := skol23
% 14.36/14.81 Y := skol27
% 14.36/14.81 Z := skol26
% 14.36/14.81 end
% 14.36/14.81 substitution1:
% 14.36/14.81 end
% 14.36/14.81
% 14.36/14.81 subsumption: (174) {G2,W4,D2,L1,V0,M1} R(1,168) { coll( skol27, skol23,
% 14.36/14.81 skol26 ) }.
% 14.36/14.81 parent0: (52480) {G1,W4,D2,L1,V0,M1} { coll( skol27, skol23, skol26 ) }.
% 14.36/14.81 substitution0:
% 14.36/14.81 end
% 14.36/14.81 permutation0:
% 14.36/14.81 0 ==> 0
% 14.36/14.81 end
% 14.36/14.81
% 14.36/14.81 resolution: (52484) {G1,W12,D2,L3,V4,M3} { coll( X, Z, Y ), ! coll( Z, T,
% 14.36/14.81 X ), ! coll( Z, T, Y ) }.
% 14.36/14.81 parent0[0]: (0) {G0,W8,D2,L2,V3,M2} I { ! coll( X, Y, Z ), coll( X, Z, Y )
% 14.36/14.81 }.
% 14.36/14.81 parent1[2]: (2) {G0,W12,D2,L3,V4,M3} I { ! coll( X, T, Y ), ! coll( X, T, Z
% 14.36/14.81 ), coll( Y, Z, X ) }.
% 14.36/14.81 substitution0:
% 14.36/14.81 X := X
% 14.36/14.81 Y := Y
% 14.36/14.81 Z := Z
% 14.36/14.81 end
% 14.36/14.81 substitution1:
% 14.36/14.81 X := Z
% 14.36/14.81 Y := X
% 14.36/14.81 Z := Y
% 14.36/14.81 T := T
% 14.36/14.81 end
% 14.36/14.81
% 14.36/14.81 subsumption: (208) {G1,W12,D2,L3,V4,M3} R(2,0) { ! coll( X, Y, Z ), ! coll
% 14.36/14.81 ( X, Y, T ), coll( Z, X, T ) }.
% 14.36/14.81 parent0: (52484) {G1,W12,D2,L3,V4,M3} { coll( X, Z, Y ), ! coll( Z, T, X )
% 14.36/14.81 , ! coll( Z, T, Y ) }.
% 14.36/14.81 substitution0:
% 14.36/14.81 X := Z
% 14.36/14.81 Y := T
% 14.36/14.81 Z := X
% 14.36/14.81 T := Y
% 14.36/14.81 end
% 14.36/14.81 permutation0:
% 14.36/14.81 0 ==> 2
% 14.36/14.81 1 ==> 0
% 14.36/14.81 2 ==> 1
% 14.36/14.81 end
% 14.36/14.81
% 14.36/14.81 factor: (52486) {G1,W8,D2,L2,V3,M2} { ! coll( X, Y, Z ), coll( Z, X, Z )
% 14.36/14.81 }.
% 14.36/14.81 parent0[0, 1]: (208) {G1,W12,D2,L3,V4,M3} R(2,0) { ! coll( X, Y, Z ), !
% 14.36/14.81 coll( X, Y, T ), coll( Z, X, T ) }.
% 14.36/14.81 substitution0:
% 14.36/14.81 X := X
% 14.36/14.81 Y := Y
% 14.36/14.81 Z := Z
% 14.36/14.81 T := Z
% 14.36/14.81 end
% 14.36/14.81
% 14.36/14.81 subsumption: (219) {G2,W8,D2,L2,V3,M2} F(208) { ! coll( X, Y, Z ), coll( Z
% 14.36/14.81 , X, Z ) }.
% 14.36/14.81 parent0: (52486) {G1,W8,D2,L2,V3,M2} { ! coll( X, Y, Z ), coll( Z, X, Z )
% 14.36/14.81 }.
% 14.36/14.81 substitution0:
% 14.36/14.81 X := X
% 14.36/14.81 Y := Y
% 14.36/14.81 Z := Z
% 14.36/14.81 end
% 14.36/14.81 permutation0:
% 14.36/14.81 0 ==> 0
% 14.36/14.81 1 ==> 1
% 14.36/14.81 end
% 14.36/14.81
% 14.36/14.81 resolution: (52488) {G1,W15,D2,L3,V6,M3} { ! perp( X, Y, Z, T ), para( X,
% 14.36/14.81 Y, U, W ), ! perp( U, W, Z, T ) }.
% 14.36/14.81 parent0[1]: (8) {G0,W15,D2,L3,V6,M3} I { ! perp( X, Y, U, W ), ! perp( U, W
% 14.36/14.81 , Z, T ), para( X, Y, Z, T ) }.
% 14.36/14.81 parent1[1]: (7) {G0,W10,D2,L2,V4,M2} I { ! perp( X, Y, Z, T ), perp( Z, T,
% 14.36/14.81 X, Y ) }.
% 14.36/14.81 substitution0:
% 14.36/14.81 X := X
% 14.36/14.81 Y := Y
% 14.36/14.81 Z := U
% 14.36/14.81 T := W
% 14.36/14.81 U := Z
% 14.36/14.81 W := T
% 14.36/14.81 end
% 14.36/14.81 substitution1:
% 14.36/14.81 X := U
% 14.36/14.81 Y := W
% 14.36/14.81 Z := Z
% 14.36/14.81 T := T
% 14.36/14.81 end
% 14.36/14.81
% 14.36/14.81 subsumption: (294) {G1,W15,D2,L3,V6,M3} R(8,7) { ! perp( X, Y, Z, T ), para
% 14.36/14.81 ( X, Y, U, W ), ! perp( U, W, Z, T ) }.
% 14.36/14.81 parent0: (52488) {G1,W15,D2,L3,V6,M3} { ! perp( X, Y, Z, T ), para( X, Y,
% 14.36/14.81 U, W ), ! perp( U, W, Z, T ) }.
% 14.36/14.81 substitution0:
% 14.36/14.81 X := X
% 14.36/14.81 Y := Y
% 14.36/14.81 Z := Z
% 14.36/14.81 T := T
% 14.36/14.81 U := U
% 14.36/14.81 W := W
% 14.36/14.81 end
% 14.36/14.81 permutation0:
% 14.36/14.81 0 ==> 0
% 14.36/14.81 1 ==> 1
% 14.36/14.81 2 ==> 2
% 14.36/14.81 end
% 14.36/14.81
% 14.36/14.81 factor: (52491) {G1,W10,D2,L2,V4,M2} { ! perp( X, Y, Z, T ), para( X, Y, X
% 14.36/14.81 , Y ) }.
% 14.36/14.81 parent0[0, 2]: (294) {G1,W15,D2,L3,V6,M3} R(8,7) { ! perp( X, Y, Z, T ),
% 14.36/14.81 para( X, Y, U, W ), ! perp( U, W, Z, T ) }.
% 14.36/14.81 substitution0:
% 14.36/14.81 X := X
% 14.36/14.81 Y := Y
% 14.36/14.81 Z := Z
% 14.36/14.81 T := T
% 14.36/14.81 U := X
% 14.36/14.81 W := Y
% 14.36/14.81 end
% 14.36/14.81
% 14.36/14.81 subsumption: (302) {G2,W10,D2,L2,V4,M2} F(294) { ! perp( X, Y, Z, T ), para
% 14.36/14.81 ( X, Y, X, Y ) }.
% 14.36/14.81 parent0: (52491) {G1,W10,D2,L2,V4,M2} { ! perp( X, Y, Z, T ), para( X, Y,
% 14.36/14.81 X, Y ) }.
% 14.36/14.81 substitution0:
% 14.36/14.81 X := X
% 14.36/14.81 Y := Y
% 14.36/14.81 Z := Z
% 14.36/14.81 T := T
% 14.36/14.81 end
% 14.36/14.81 permutation0:
% 14.36/14.81 0 ==> 0
% 14.36/14.81 1 ==> 1
% 14.36/14.81 end
% 14.36/14.81
% 14.36/14.81 resolution: (52492) {G1,W5,D2,L1,V0,M1} { perp( skol26, skol27, skol23,
% 14.36/14.81 skol20 ) }.
% 14.36/14.81 parent0[0]: (7) {G0,W10,D2,L2,V4,M2} I { ! perp( X, Y, Z, T ), perp( Z, T,
% 14.36/14.81 X, Y ) }.
% 14.36/14.81 parent1[0]: (123) {G0,W5,D2,L1,V0,M1} I { perp( skol23, skol20, skol26,
% 14.36/14.81 skol27 ) }.
% 14.36/14.81 substitution0:
% 14.36/14.81 X := skol23
% 14.36/14.81 Y := skol20
% 14.36/14.81 Z := skol26
% 14.36/14.81 T := skol27
% 14.36/14.81 end
% 14.36/14.81 substitution1:
% 14.36/14.81 end
% 14.36/14.81
% 14.36/14.81 subsumption: (346) {G1,W5,D2,L1,V0,M1} R(123,7) { perp( skol26, skol27,
% 14.36/14.81 skol23, skol20 ) }.
% 14.36/14.81 parent0: (52492) {G1,W5,D2,L1,V0,M1} { perp( skol26, skol27, skol23,
% 14.36/14.81 skol20 ) }.
% 14.36/14.81 substitution0:
% 14.36/14.81 end
% 14.36/14.81 permutation0:
% 14.36/14.81 0 ==> 0
% 14.36/14.81 end
% 14.36/14.81
% 14.36/14.81 resolution: (52493) {G1,W5,D2,L1,V0,M1} { perp( skol26, skol27, skol20,
% 14.36/14.81 skol23 ) }.
% 14.36/14.81 parent0[0]: (6) {G0,W10,D2,L2,V4,M2} I { ! perp( X, Y, Z, T ), perp( X, Y,
% 14.36/14.81 T, Z ) }.
% 14.36/14.81 parent1[0]: (346) {G1,W5,D2,L1,V0,M1} R(123,7) { perp( skol26, skol27,
% 14.36/14.81 skol23, skol20 ) }.
% 14.36/14.81 substitution0:
% 14.36/14.81 X := skol26
% 14.36/14.81 Y := skol27
% 14.36/14.81 Z := skol23
% 14.36/14.81 T := skol20
% 14.36/14.81 end
% 14.36/14.81 substitution1:
% 14.36/14.81 end
% 14.36/14.81
% 14.36/14.81 subsumption: (351) {G2,W5,D2,L1,V0,M1} R(346,6) { perp( skol26, skol27,
% 14.36/14.81 skol20, skol23 ) }.
% 14.36/14.81 parent0: (52493) {G1,W5,D2,L1,V0,M1} { perp( skol26, skol27, skol20,
% 14.36/14.81 skol23 ) }.
% 14.36/14.81 substitution0:
% 14.36/14.81 end
% 14.36/14.81 permutation0:
% 14.36/14.81 0 ==> 0
% 14.36/14.81 end
% 14.36/14.81
% 14.36/14.81 resolution: (52494) {G1,W5,D2,L1,V0,M1} { ! cyclic( skol20, skol22, skol23
% 14.36/14.81 , skol24 ) }.
% 14.36/14.81 parent0[0]: (129) {G0,W5,D2,L1,V0,M1} I { ! cyclic( skol20, skol22, skol24
% 14.36/14.81 , skol23 ) }.
% 14.36/14.81 parent1[1]: (13) {G0,W10,D2,L2,V4,M2} I { ! cyclic( X, Y, Z, T ), cyclic( X
% 14.36/14.81 , Y, T, Z ) }.
% 14.36/14.81 substitution0:
% 14.36/14.81 end
% 14.36/14.81 substitution1:
% 14.36/14.81 X := skol20
% 14.36/14.81 Y := skol22
% 14.36/14.81 Z := skol23
% 14.36/14.81 T := skol24
% 14.36/14.81 end
% 14.36/14.81
% 14.36/14.81 subsumption: (392) {G1,W5,D2,L1,V0,M1} R(13,129) { ! cyclic( skol20, skol22
% 14.36/14.81 , skol23, skol24 ) }.
% 14.36/14.81 parent0: (52494) {G1,W5,D2,L1,V0,M1} { ! cyclic( skol20, skol22, skol23,
% 14.36/14.81 skol24 ) }.
% 14.36/14.81 substitution0:
% 14.36/14.81 end
% 14.36/14.81 permutation0:
% 14.36/14.81 0 ==> 0
% 14.36/14.81 end
% 14.36/14.81
% 14.36/14.81 resolution: (52496) {G1,W10,D2,L2,V4,M2} { cyclic( X, Y, T, Z ), ! cyclic
% 14.36/14.81 ( X, Z, Y, T ) }.
% 14.36/14.81 parent0[0]: (13) {G0,W10,D2,L2,V4,M2} I { ! cyclic( X, Y, Z, T ), cyclic( X
% 14.36/14.81 , Y, T, Z ) }.
% 14.36/14.81 parent1[1]: (14) {G0,W10,D2,L2,V4,M2} I { ! cyclic( X, Y, Z, T ), cyclic( X
% 14.36/14.81 , Z, Y, T ) }.
% 14.36/14.81 substitution0:
% 14.36/14.81 X := X
% 14.36/14.81 Y := Y
% 14.36/14.81 Z := Z
% 14.36/14.81 T := T
% 14.36/14.81 end
% 14.36/14.81 substitution1:
% 14.36/14.81 X := X
% 14.36/14.81 Y := Z
% 14.36/14.81 Z := Y
% 14.36/14.81 T := T
% 14.36/14.81 end
% 14.36/14.81
% 14.36/14.81 subsumption: (406) {G1,W10,D2,L2,V4,M2} R(14,13) { ! cyclic( X, Y, Z, T ),
% 14.36/14.81 cyclic( X, Z, T, Y ) }.
% 14.36/14.81 parent0: (52496) {G1,W10,D2,L2,V4,M2} { cyclic( X, Y, T, Z ), ! cyclic( X
% 14.36/14.81 , Z, Y, T ) }.
% 14.36/14.81 substitution0:
% 14.36/14.81 X := X
% 14.36/14.81 Y := Z
% 14.36/14.81 Z := Y
% 14.36/14.81 T := T
% 14.36/14.81 end
% 14.36/14.81 permutation0:
% 14.36/14.81 0 ==> 1
% 14.36/14.81 1 ==> 0
% 14.36/14.81 end
% 14.36/14.81
% 14.36/14.81 resolution: (52497) {G1,W10,D2,L2,V4,M2} { cyclic( Y, X, Z, T ), ! cyclic
% 14.36/14.81 ( X, Z, Y, T ) }.
% 14.36/14.81 parent0[0]: (15) {G0,W10,D2,L2,V4,M2} I { ! cyclic( X, Y, Z, T ), cyclic( Y
% 14.36/14.81 , X, Z, T ) }.
% 14.36/14.81 parent1[1]: (14) {G0,W10,D2,L2,V4,M2} I { ! cyclic( X, Y, Z, T ), cyclic( X
% 14.36/14.81 , Z, Y, T ) }.
% 14.36/14.81 substitution0:
% 14.36/14.81 X := X
% 14.36/14.81 Y := Y
% 14.36/14.81 Z := Z
% 14.36/14.81 T := T
% 14.36/14.81 end
% 14.36/14.81 substitution1:
% 14.36/14.81 X := X
% 14.36/14.81 Y := Z
% 14.36/14.81 Z := Y
% 14.36/14.81 T := T
% 14.36/14.81 end
% 14.36/14.81
% 14.36/14.81 subsumption: (414) {G1,W10,D2,L2,V4,M2} R(15,14) { cyclic( X, Y, Z, T ), !
% 14.36/14.81 cyclic( Y, Z, X, T ) }.
% 14.36/14.81 parent0: (52497) {G1,W10,D2,L2,V4,M2} { cyclic( Y, X, Z, T ), ! cyclic( X
% 14.36/14.81 , Z, Y, T ) }.
% 14.36/14.81 substitution0:
% 14.36/14.81 X := Y
% 14.36/14.81 Y := X
% 14.36/14.81 Z := Z
% 14.36/14.81 T := T
% 14.36/14.81 end
% 14.36/14.81 permutation0:
% 14.36/14.81 0 ==> 0
% 14.36/14.81 1 ==> 1
% 14.36/14.81 end
% 14.36/14.81
% 14.36/14.81 resolution: (52498) {G1,W5,D2,L1,V0,M1} { ! cyclic( skol22, skol20, skol23
% 14.36/14.81 , skol24 ) }.
% 14.36/14.81 parent0[0]: (392) {G1,W5,D2,L1,V0,M1} R(13,129) { ! cyclic( skol20, skol22
% 14.36/14.81 , skol23, skol24 ) }.
% 14.36/14.81 parent1[1]: (15) {G0,W10,D2,L2,V4,M2} I { ! cyclic( X, Y, Z, T ), cyclic( Y
% 14.36/14.81 , X, Z, T ) }.
% 14.36/14.81 substitution0:
% 14.36/14.81 end
% 14.36/14.81 substitution1:
% 14.36/14.81 X := skol22
% 14.36/14.81 Y := skol20
% 14.36/14.81 Z := skol23
% 14.36/14.81 T := skol24
% 14.36/14.81 end
% 14.36/14.81
% 14.36/14.81 subsumption: (416) {G2,W5,D2,L1,V0,M1} R(15,392) { ! cyclic( skol22, skol20
% 14.36/14.81 , skol23, skol24 ) }.
% 14.36/14.81 parent0: (52498) {G1,W5,D2,L1,V0,M1} { ! cyclic( skol22, skol20, skol23,
% 14.36/14.81 skol24 ) }.
% 14.36/14.81 substitution0:
% 14.36/14.81 end
% 14.36/14.81 permutation0:
% 14.36/14.81 0 ==> 0
% 14.36/14.81 end
% 14.36/14.81
% 14.36/14.81 resolution: (52499) {G1,W10,D2,L2,V4,M2} { cyclic( Y, X, Z, T ), ! cyclic
% 14.36/14.81 ( X, Y, T, Z ) }.
% 14.36/14.81 parent0[0]: (15) {G0,W10,D2,L2,V4,M2} I { ! cyclic( X, Y, Z, T ), cyclic( Y
% 14.36/14.81 , X, Z, T ) }.
% 14.36/14.81 parent1[1]: (13) {G0,W10,D2,L2,V4,M2} I { ! cyclic( X, Y, Z, T ), cyclic( X
% 14.36/14.81 , Y, T, Z ) }.
% 14.36/14.81 substitution0:
% 14.36/14.81 X := X
% 14.36/14.81 Y := Y
% 14.36/14.81 Z := Z
% 14.36/14.81 T := T
% 14.36/14.81 end
% 14.36/14.81 substitution1:
% 14.36/14.81 X := X
% 14.36/14.81 Y := Y
% 14.36/14.81 Z := T
% 14.36/14.81 T := Z
% 14.36/14.81 end
% 14.36/14.81
% 14.36/14.81 subsumption: (417) {G1,W10,D2,L2,V4,M2} R(15,13) { cyclic( X, Y, Z, T ), !
% 14.36/14.81 cyclic( Y, X, T, Z ) }.
% 14.36/14.81 parent0: (52499) {G1,W10,D2,L2,V4,M2} { cyclic( Y, X, Z, T ), ! cyclic( X
% 14.36/14.81 , Y, T, Z ) }.
% 14.36/14.81 substitution0:
% 14.36/14.81 X := Y
% 14.36/14.81 Y := X
% 14.36/14.81 Z := Z
% 14.36/14.81 T := T
% 14.36/14.81 end
% 14.36/14.81 permutation0:
% 14.36/14.81 0 ==> 0
% 14.36/14.81 1 ==> 1
% 14.36/14.81 end
% 14.36/14.81
% 14.36/14.81 resolution: (52503) {G1,W15,D2,L3,V5,M3} { cyclic( Y, X, Z, T ), ! cyclic
% 14.36/14.81 ( U, X, Y, Z ), ! cyclic( U, X, Y, T ) }.
% 14.36/14.81 parent0[0]: (15) {G0,W10,D2,L2,V4,M2} I { ! cyclic( X, Y, Z, T ), cyclic( Y
% 14.36/14.81 , X, Z, T ) }.
% 14.36/14.81 parent1[2]: (16) {G0,W15,D2,L3,V5,M3} I { ! cyclic( U, X, Y, Z ), ! cyclic
% 14.36/14.81 ( U, X, Y, T ), cyclic( X, Y, Z, T ) }.
% 14.36/14.81 substitution0:
% 14.36/14.81 X := X
% 14.36/14.81 Y := Y
% 14.36/14.81 Z := Z
% 14.36/14.81 T := T
% 14.36/14.81 end
% 14.36/14.81 substitution1:
% 14.36/14.81 X := X
% 14.36/14.81 Y := Y
% 14.36/14.81 Z := Z
% 14.36/14.81 T := T
% 14.36/14.81 U := U
% 14.36/14.81 end
% 14.36/14.81
% 14.36/14.81 subsumption: (438) {G1,W15,D2,L3,V5,M3} R(16,15) { ! cyclic( X, Y, Z, T ),
% 14.36/14.81 ! cyclic( X, Y, Z, U ), cyclic( Z, Y, T, U ) }.
% 14.36/14.81 parent0: (52503) {G1,W15,D2,L3,V5,M3} { cyclic( Y, X, Z, T ), ! cyclic( U
% 14.36/14.81 , X, Y, Z ), ! cyclic( U, X, Y, T ) }.
% 14.36/14.81 substitution0:
% 14.36/14.81 X := Y
% 14.36/14.81 Y := Z
% 14.36/14.81 Z := T
% 14.36/14.81 T := U
% 14.36/14.81 U := X
% 14.36/14.81 end
% 14.36/14.81 permutation0:
% 14.36/14.81 0 ==> 2
% 14.36/14.81 1 ==> 0
% 14.36/14.81 2 ==> 1
% 14.36/14.81 end
% 14.36/14.81
% 14.36/14.81 resolution: (52506) {G1,W15,D2,L3,V5,M3} { ! cyclic( X, Y, Z, T ), cyclic
% 14.36/14.81 ( Y, Z, T, U ), ! cyclic( X, Y, U, Z ) }.
% 14.36/14.81 parent0[1]: (16) {G0,W15,D2,L3,V5,M3} I { ! cyclic( U, X, Y, Z ), ! cyclic
% 14.36/14.81 ( U, X, Y, T ), cyclic( X, Y, Z, T ) }.
% 14.36/14.81 parent1[1]: (13) {G0,W10,D2,L2,V4,M2} I { ! cyclic( X, Y, Z, T ), cyclic( X
% 14.36/14.81 , Y, T, Z ) }.
% 14.36/14.81 substitution0:
% 14.36/14.81 X := Y
% 14.36/14.81 Y := Z
% 14.36/14.81 Z := T
% 14.36/14.81 T := U
% 14.36/14.81 U := X
% 14.36/14.81 end
% 14.36/14.81 substitution1:
% 14.36/14.81 X := X
% 14.36/14.81 Y := Y
% 14.36/14.81 Z := U
% 14.36/14.81 T := Z
% 14.36/14.81 end
% 14.36/14.81
% 14.36/14.81 subsumption: (446) {G1,W15,D2,L3,V5,M3} R(16,13) { ! cyclic( X, Y, Z, T ),
% 14.36/14.81 cyclic( Y, Z, T, U ), ! cyclic( X, Y, U, Z ) }.
% 14.36/14.81 parent0: (52506) {G1,W15,D2,L3,V5,M3} { ! cyclic( X, Y, Z, T ), cyclic( Y
% 14.36/14.81 , Z, T, U ), ! cyclic( X, Y, U, Z ) }.
% 14.36/14.81 substitution0:
% 14.36/14.81 X := X
% 14.36/14.81 Y := Y
% 14.36/14.81 Z := Z
% 14.36/14.81 T := T
% 14.36/14.81 U := U
% 14.36/14.81 end
% 14.36/14.81 permutation0:
% 14.36/14.81 0 ==> 0
% 14.36/14.81 1 ==> 1
% 14.36/14.81 2 ==> 2
% 14.36/14.81 end
% 14.36/14.81
% 14.36/14.81 factor: (52508) {G1,W10,D2,L2,V4,M2} { ! cyclic( X, Y, Z, T ), cyclic( Z,
% 14.36/14.81 Y, T, T ) }.
% 14.36/14.81 parent0[0, 1]: (438) {G1,W15,D2,L3,V5,M3} R(16,15) { ! cyclic( X, Y, Z, T )
% 14.36/14.81 , ! cyclic( X, Y, Z, U ), cyclic( Z, Y, T, U ) }.
% 14.36/14.81 substitution0:
% 14.36/14.81 X := X
% 14.36/14.81 Y := Y
% 14.36/14.81 Z := Z
% 14.36/14.81 T := T
% 14.36/14.81 U := T
% 14.36/14.81 end
% 14.36/14.81
% 14.36/14.81 subsumption: (450) {G2,W10,D2,L2,V4,M2} F(438) { ! cyclic( X, Y, Z, T ),
% 14.36/14.81 cyclic( Z, Y, T, T ) }.
% 14.36/14.81 parent0: (52508) {G1,W10,D2,L2,V4,M2} { ! cyclic( X, Y, Z, T ), cyclic( Z
% 14.36/14.81 , Y, T, T ) }.
% 14.36/14.81 substitution0:
% 14.36/14.81 X := X
% 14.36/14.81 Y := Y
% 14.36/14.81 Z := Z
% 14.36/14.81 T := T
% 14.36/14.81 end
% 14.36/14.81 permutation0:
% 14.36/14.81 0 ==> 0
% 14.36/14.81 1 ==> 1
% 14.36/14.81 end
% 14.36/14.81
% 14.36/14.81 resolution: (52509) {G1,W10,D2,L2,V1,M2} { ! cyclic( X, skol22, skol20,
% 14.36/14.81 skol23 ), ! cyclic( X, skol22, skol20, skol24 ) }.
% 14.36/14.81 parent0[0]: (416) {G2,W5,D2,L1,V0,M1} R(15,392) { ! cyclic( skol22, skol20
% 14.36/14.81 , skol23, skol24 ) }.
% 14.36/14.81 parent1[2]: (16) {G0,W15,D2,L3,V5,M3} I { ! cyclic( U, X, Y, Z ), ! cyclic
% 14.36/14.81 ( U, X, Y, T ), cyclic( X, Y, Z, T ) }.
% 14.36/14.81 substitution0:
% 14.36/14.81 end
% 14.36/14.81 substitution1:
% 14.36/14.81 X := skol22
% 14.36/14.81 Y := skol20
% 14.36/14.81 Z := skol23
% 14.36/14.81 T := skol24
% 14.36/14.81 U := X
% 14.36/14.81 end
% 14.36/14.81
% 14.36/14.81 subsumption: (471) {G3,W10,D2,L2,V1,M2} R(416,16) { ! cyclic( X, skol22,
% 14.36/14.81 skol20, skol23 ), ! cyclic( X, skol22, skol20, skol24 ) }.
% 14.36/14.81 parent0: (52509) {G1,W10,D2,L2,V1,M2} { ! cyclic( X, skol22, skol20,
% 14.36/14.81 skol23 ), ! cyclic( X, skol22, skol20, skol24 ) }.
% 14.36/14.81 substitution0:
% 14.36/14.81 X := X
% 14.36/14.81 end
% 14.36/14.81 permutation0:
% 14.36/14.81 0 ==> 0
% 14.36/14.81 1 ==> 1
% 14.36/14.81 end
% 14.36/14.81
% 14.36/14.81 resolution: (52510) {G3,W4,D2,L1,V0,M1} { coll( skol26, skol27, skol26 )
% 14.36/14.81 }.
% 14.36/14.81 parent0[0]: (219) {G2,W8,D2,L2,V3,M2} F(208) { ! coll( X, Y, Z ), coll( Z,
% 14.36/14.81 X, Z ) }.
% 14.36/14.81 parent1[0]: (174) {G2,W4,D2,L1,V0,M1} R(1,168) { coll( skol27, skol23,
% 14.36/14.81 skol26 ) }.
% 14.36/14.81 substitution0:
% 14.36/14.81 X := skol27
% 14.36/14.81 Y := skol23
% 14.36/14.81 Z := skol26
% 14.36/14.81 end
% 14.36/14.81 substitution1:
% 14.36/14.81 end
% 14.36/14.81
% 14.36/14.81 subsumption: (550) {G3,W4,D2,L1,V0,M1} R(219,174) { coll( skol26, skol27,
% 14.36/14.81 skol26 ) }.
% 14.36/14.81 parent0: (52510) {G3,W4,D2,L1,V0,M1} { coll( skol26, skol27, skol26 ) }.
% 14.36/14.81 substitution0:
% 14.36/14.81 end
% 14.36/14.81 permutation0:
% 14.36/14.81 0 ==> 0
% 14.36/14.81 end
% 14.36/14.81
% 14.36/14.81 resolution: (52511) {G1,W14,D2,L2,V6,M2} { eqangle( Z, T, X, Y, Z, T, U, W
% 14.36/14.81 ), ! para( X, Y, U, W ) }.
% 14.36/14.81 parent0[0]: (18) {G0,W18,D2,L2,V8,M2} I { ! eqangle( X, Y, Z, T, U, W, V0,
% 14.36/14.81 V1 ), eqangle( Z, T, X, Y, V0, V1, U, W ) }.
% 14.36/14.81 parent1[1]: (39) {G0,W14,D2,L2,V6,M2} I { ! para( X, Y, Z, T ), eqangle( X
% 14.36/14.81 , Y, U, W, Z, T, U, W ) }.
% 14.36/14.81 substitution0:
% 14.36/14.81 X := X
% 14.36/14.81 Y := Y
% 14.36/14.81 Z := Z
% 14.36/14.81 T := T
% 14.36/14.81 U := U
% 14.36/14.81 W := W
% 14.36/14.81 V0 := Z
% 14.36/14.81 V1 := T
% 14.36/14.81 end
% 14.36/14.81 substitution1:
% 14.36/14.81 X := X
% 14.36/14.81 Y := Y
% 14.36/14.81 Z := U
% 14.36/14.81 T := W
% 14.36/14.81 U := Z
% 14.36/14.81 W := T
% 14.36/14.81 end
% 14.36/14.81
% 14.36/14.81 subsumption: (792) {G1,W14,D2,L2,V6,M2} R(39,18) { ! para( X, Y, Z, T ),
% 14.36/14.81 eqangle( U, W, X, Y, U, W, Z, T ) }.
% 14.36/14.81 parent0: (52511) {G1,W14,D2,L2,V6,M2} { eqangle( Z, T, X, Y, Z, T, U, W )
% 14.36/14.81 , ! para( X, Y, U, W ) }.
% 14.36/14.81 substitution0:
% 14.36/14.81 X := X
% 14.36/14.81 Y := Y
% 14.36/14.81 Z := U
% 14.36/14.81 T := W
% 14.36/14.81 U := Z
% 14.36/14.81 W := T
% 14.36/14.81 end
% 14.36/14.81 permutation0:
% 14.36/14.81 0 ==> 1
% 14.36/14.81 1 ==> 0
% 14.36/14.81 end
% 14.36/14.81
% 14.36/14.81 resolution: (52512) {G1,W14,D2,L2,V4,M2} { eqangle( T, Y, T, Z, X, Y, X, Z
% 14.36/14.81 ), ! cyclic( Y, Z, X, T ) }.
% 14.36/14.81 parent0[0]: (19) {G0,W18,D2,L2,V8,M2} I { ! eqangle( X, Y, Z, T, U, W, V0,
% 14.36/14.81 V1 ), eqangle( U, W, V0, V1, X, Y, Z, T ) }.
% 14.36/14.81 parent1[1]: (40) {G0,W14,D2,L2,V4,M2} I { ! cyclic( X, Y, Z, T ), eqangle(
% 14.36/14.81 Z, X, Z, Y, T, X, T, Y ) }.
% 14.36/14.81 substitution0:
% 14.36/14.81 X := X
% 14.36/14.81 Y := Y
% 14.36/14.81 Z := X
% 14.36/14.81 T := Z
% 14.36/14.81 U := T
% 14.36/14.81 W := Y
% 14.36/14.81 V0 := T
% 14.36/14.81 V1 := Z
% 14.36/14.81 end
% 14.36/14.81 substitution1:
% 14.36/14.81 X := Y
% 14.36/14.81 Y := Z
% 14.36/14.81 Z := X
% 14.36/14.81 T := T
% 14.36/14.81 end
% 14.36/14.81
% 14.36/14.81 subsumption: (810) {G1,W14,D2,L2,V4,M2} R(40,19) { ! cyclic( X, Y, Z, T ),
% 14.36/14.81 eqangle( T, X, T, Y, Z, X, Z, Y ) }.
% 14.36/14.81 parent0: (52512) {G1,W14,D2,L2,V4,M2} { eqangle( T, Y, T, Z, X, Y, X, Z )
% 14.36/14.81 , ! cyclic( Y, Z, X, T ) }.
% 14.36/14.81 substitution0:
% 14.36/14.81 X := Z
% 14.36/14.81 Y := X
% 14.36/14.81 Z := Y
% 14.36/14.81 T := T
% 14.36/14.81 end
% 14.36/14.81 permutation0:
% 14.36/14.81 0 ==> 1
% 14.36/14.81 1 ==> 0
% 14.36/14.81 end
% 14.36/14.81
% 14.36/14.81 resolution: (52513) {G1,W14,D2,L2,V4,M2} { eqangle( Z, X, Z, Y, T, X, T, Y
% 14.36/14.81 ), ! cyclic( X, Z, Y, T ) }.
% 14.36/14.81 parent0[0]: (40) {G0,W14,D2,L2,V4,M2} I { ! cyclic( X, Y, Z, T ), eqangle(
% 14.36/14.81 Z, X, Z, Y, T, X, T, Y ) }.
% 14.36/14.81 parent1[1]: (14) {G0,W10,D2,L2,V4,M2} I { ! cyclic( X, Y, Z, T ), cyclic( X
% 14.36/14.81 , Z, Y, T ) }.
% 14.36/14.81 substitution0:
% 14.36/14.81 X := X
% 14.36/14.81 Y := Y
% 14.36/14.81 Z := Z
% 14.36/14.81 T := T
% 14.36/14.81 end
% 14.36/14.81 substitution1:
% 14.36/14.81 X := X
% 14.36/14.81 Y := Z
% 14.36/14.81 Z := Y
% 14.36/14.81 T := T
% 14.36/14.81 end
% 14.36/14.81
% 14.36/14.81 subsumption: (814) {G1,W14,D2,L2,V4,M2} R(40,14) { eqangle( X, Y, X, Z, T,
% 14.36/14.81 Y, T, Z ), ! cyclic( Y, X, Z, T ) }.
% 14.36/14.81 parent0: (52513) {G1,W14,D2,L2,V4,M2} { eqangle( Z, X, Z, Y, T, X, T, Y )
% 14.36/14.81 , ! cyclic( X, Z, Y, T ) }.
% 14.36/14.81 substitution0:
% 14.36/14.81 X := Y
% 14.36/14.81 Y := Z
% 14.36/14.81 Z := X
% 14.36/14.81 T := T
% 14.36/14.81 end
% 14.36/14.81 permutation0:
% 14.36/14.81 0 ==> 0
% 14.36/14.81 1 ==> 1
% 14.36/14.81 end
% 14.36/14.81
% 14.36/14.81 resolution: (52514) {G1,W4,D2,L1,V0,M1} { coll( skol27, skol26, skol26 )
% 14.36/14.81 }.
% 14.36/14.81 parent0[0]: (1) {G0,W8,D2,L2,V3,M2} I { ! coll( X, Y, Z ), coll( Y, X, Z )
% 14.36/14.81 }.
% 14.36/14.81 parent1[0]: (550) {G3,W4,D2,L1,V0,M1} R(219,174) { coll( skol26, skol27,
% 14.36/14.81 skol26 ) }.
% 14.36/14.81 substitution0:
% 14.36/14.81 X := skol26
% 14.36/14.81 Y := skol27
% 14.36/14.81 Z := skol26
% 14.36/14.81 end
% 14.36/14.81 substitution1:
% 14.36/14.81 end
% 14.36/14.81
% 14.36/14.81 subsumption: (818) {G4,W4,D2,L1,V0,M1} R(550,1) { coll( skol27, skol26,
% 14.36/14.81 skol26 ) }.
% 14.36/14.81 parent0: (52514) {G1,W4,D2,L1,V0,M1} { coll( skol27, skol26, skol26 ) }.
% 14.36/14.81 substitution0:
% 14.36/14.81 end
% 14.36/14.81 permutation0:
% 14.36/14.81 0 ==> 0
% 14.36/14.81 end
% 14.36/14.81
% 14.36/14.81 resolution: (52515) {G1,W4,D2,L1,V0,M1} { coll( skol26, skol26, skol27 )
% 14.36/14.81 }.
% 14.36/14.81 parent0[0]: (0) {G0,W8,D2,L2,V3,M2} I { ! coll( X, Y, Z ), coll( X, Z, Y )
% 14.36/14.81 }.
% 14.36/14.81 parent1[0]: (550) {G3,W4,D2,L1,V0,M1} R(219,174) { coll( skol26, skol27,
% 14.36/14.81 skol26 ) }.
% 14.36/14.81 substitution0:
% 14.36/14.81 X := skol26
% 14.36/14.81 Y := skol27
% 14.36/14.81 Z := skol26
% 14.36/14.81 end
% 14.36/14.81 substitution1:
% 14.36/14.81 end
% 14.36/14.81
% 14.36/14.81 subsumption: (819) {G4,W4,D2,L1,V0,M1} R(550,0) { coll( skol26, skol26,
% 14.36/14.81 skol27 ) }.
% 14.36/14.81 parent0: (52515) {G1,W4,D2,L1,V0,M1} { coll( skol26, skol26, skol27 ) }.
% 14.36/14.81 substitution0:
% 14.36/14.81 end
% 14.36/14.81 permutation0:
% 14.36/14.81 0 ==> 0
% 14.36/14.81 end
% 14.36/14.81
% 14.36/14.81 resolution: (52516) {G1,W14,D2,L2,V1,M2} { ! eqangle( skol26, X, skol26,
% 14.36/14.81 skol27, skol26, X, skol26, skol27 ), cyclic( X, skol27, skol26, skol26 )
% 14.36/14.81 }.
% 14.36/14.81 parent0[1]: (42) {G0,W18,D2,L3,V4,M3} I { ! eqangle( Z, X, Z, Y, T, X, T, Y
% 14.36/14.81 ), ! coll( Z, T, Y ), cyclic( X, Y, Z, T ) }.
% 14.36/14.81 parent1[0]: (819) {G4,W4,D2,L1,V0,M1} R(550,0) { coll( skol26, skol26,
% 14.36/14.81 skol27 ) }.
% 14.36/14.81 substitution0:
% 14.36/14.81 X := X
% 14.36/14.81 Y := skol27
% 14.36/14.81 Z := skol26
% 14.36/14.81 T := skol26
% 14.36/14.81 end
% 14.36/14.81 substitution1:
% 14.36/14.81 end
% 14.36/14.81
% 14.36/14.81 subsumption: (878) {G5,W14,D2,L2,V1,M2} R(42,819) { ! eqangle( skol26, X,
% 14.36/14.81 skol26, skol27, skol26, X, skol26, skol27 ), cyclic( X, skol27, skol26,
% 14.36/14.81 skol26 ) }.
% 14.36/14.81 parent0: (52516) {G1,W14,D2,L2,V1,M2} { ! eqangle( skol26, X, skol26,
% 14.36/14.81 skol27, skol26, X, skol26, skol27 ), cyclic( X, skol27, skol26, skol26 )
% 14.36/14.81 }.
% 14.36/14.81 substitution0:
% 14.36/14.81 X := X
% 14.36/14.81 end
% 14.36/14.81 permutation0:
% 14.36/14.81 0 ==> 0
% 14.36/14.81 1 ==> 1
% 14.36/14.81 end
% 14.36/14.81
% 14.36/14.81 resolution: (52517) {G1,W14,D2,L2,V1,M2} { ! eqangle( skol27, X, skol27,
% 14.36/14.81 skol26, skol26, X, skol26, skol26 ), cyclic( X, skol26, skol27, skol26 )
% 14.36/14.81 }.
% 14.36/14.81 parent0[1]: (42) {G0,W18,D2,L3,V4,M3} I { ! eqangle( Z, X, Z, Y, T, X, T, Y
% 14.36/14.81 ), ! coll( Z, T, Y ), cyclic( X, Y, Z, T ) }.
% 14.36/14.81 parent1[0]: (818) {G4,W4,D2,L1,V0,M1} R(550,1) { coll( skol27, skol26,
% 14.36/14.81 skol26 ) }.
% 14.36/14.81 substitution0:
% 14.36/14.81 X := X
% 14.36/14.81 Y := skol26
% 14.36/14.81 Z := skol27
% 14.36/14.81 T := skol26
% 14.36/14.81 end
% 14.36/14.81 substitution1:
% 14.36/14.81 end
% 14.36/14.81
% 14.36/14.81 subsumption: (879) {G5,W14,D2,L2,V1,M2} R(42,818) { ! eqangle( skol27, X,
% 14.36/14.81 skol27, skol26, skol26, X, skol26, skol26 ), cyclic( X, skol26, skol27,
% 14.36/14.81 skol26 ) }.
% 14.36/14.81 parent0: (52517) {G1,W14,D2,L2,V1,M2} { ! eqangle( skol27, X, skol27,
% 14.36/14.81 skol26, skol26, X, skol26, skol26 ), cyclic( X, skol26, skol27, skol26 )
% 14.36/14.81 }.
% 14.36/14.81 substitution0:
% 14.36/14.81 X := X
% 14.36/14.81 end
% 14.36/14.81 permutation0:
% 14.36/14.81 0 ==> 0
% 14.36/14.81 1 ==> 1
% 14.36/14.81 end
% 14.36/14.81
% 14.36/14.81 resolution: (52518) {G1,W14,D2,L2,V1,M2} { ! eqangle( skol26, X, skol26,
% 14.36/14.81 skol26, skol27, X, skol27, skol26 ), cyclic( X, skol26, skol26, skol27 )
% 14.36/14.81 }.
% 14.36/14.81 parent0[1]: (42) {G0,W18,D2,L3,V4,M3} I { ! eqangle( Z, X, Z, Y, T, X, T, Y
% 14.36/14.81 ), ! coll( Z, T, Y ), cyclic( X, Y, Z, T ) }.
% 14.36/14.81 parent1[0]: (550) {G3,W4,D2,L1,V0,M1} R(219,174) { coll( skol26, skol27,
% 14.36/14.81 skol26 ) }.
% 14.36/14.81 substitution0:
% 14.36/14.81 X := X
% 14.36/14.81 Y := skol26
% 14.36/14.81 Z := skol26
% 14.36/14.81 T := skol27
% 14.36/14.81 end
% 14.36/14.81 substitution1:
% 14.36/14.81 end
% 14.36/14.81
% 14.36/14.81 subsumption: (880) {G4,W14,D2,L2,V1,M2} R(42,550) { ! eqangle( skol26, X,
% 14.36/14.81 skol26, skol26, skol27, X, skol27, skol26 ), cyclic( X, skol26, skol26,
% 14.36/14.81 skol27 ) }.
% 14.36/14.81 parent0: (52518) {G1,W14,D2,L2,V1,M2} { ! eqangle( skol26, X, skol26,
% 14.36/14.81 skol26, skol27, X, skol27, skol26 ), cyclic( X, skol26, skol26, skol27 )
% 14.36/14.81 }.
% 14.36/14.81 substitution0:
% 14.36/14.81 X := X
% 14.36/14.81 end
% 14.36/14.81 permutation0:
% 14.36/14.81 0 ==> 0
% 14.36/14.81 1 ==> 1
% 14.36/14.81 end
% 14.36/14.81
% 14.36/14.81 resolution: (52519) {G3,W5,D2,L1,V0,M1} { para( skol26, skol27, skol26,
% 14.36/14.81 skol27 ) }.
% 14.36/14.81 parent0[0]: (302) {G2,W10,D2,L2,V4,M2} F(294) { ! perp( X, Y, Z, T ), para
% 14.36/14.81 ( X, Y, X, Y ) }.
% 14.36/14.81 parent1[0]: (351) {G2,W5,D2,L1,V0,M1} R(346,6) { perp( skol26, skol27,
% 14.36/14.81 skol20, skol23 ) }.
% 14.36/14.81 substitution0:
% 14.36/14.81 X := skol26
% 14.36/14.81 Y := skol27
% 14.36/14.81 Z := skol20
% 14.36/14.81 T := skol23
% 14.36/14.81 end
% 14.36/14.81 substitution1:
% 14.36/14.81 end
% 14.36/14.81
% 14.36/14.81 subsumption: (20774) {G3,W5,D2,L1,V0,M1} R(302,351) { para( skol26, skol27
% 14.36/14.81 , skol26, skol27 ) }.
% 14.36/14.81 parent0: (52519) {G3,W5,D2,L1,V0,M1} { para( skol26, skol27, skol26,
% 14.36/14.81 skol27 ) }.
% 14.36/14.81 substitution0:
% 14.36/14.81 end
% 14.36/14.81 permutation0:
% 14.36/14.81 0 ==> 0
% 14.36/14.81 end
% 14.36/14.81
% 14.36/14.81 resolution: (52520) {G2,W9,D2,L1,V2,M1} { eqangle( X, Y, skol26, skol27, X
% 14.36/14.81 , Y, skol26, skol27 ) }.
% 14.36/14.81 parent0[0]: (792) {G1,W14,D2,L2,V6,M2} R(39,18) { ! para( X, Y, Z, T ),
% 14.36/14.81 eqangle( U, W, X, Y, U, W, Z, T ) }.
% 14.36/14.81 parent1[0]: (20774) {G3,W5,D2,L1,V0,M1} R(302,351) { para( skol26, skol27,
% 14.36/14.81 skol26, skol27 ) }.
% 14.36/14.81 substitution0:
% 14.36/14.81 X := skol26
% 14.36/14.81 Y := skol27
% 14.36/14.81 Z := skol26
% 14.36/14.81 T := skol27
% 14.36/14.81 U := X
% 14.36/14.81 W := Y
% 14.36/14.81 end
% 14.36/14.81 substitution1:
% 14.36/14.81 end
% 14.36/14.81
% 14.36/14.81 subsumption: (47771) {G4,W9,D2,L1,V2,M1} R(792,20774) { eqangle( X, Y,
% 14.36/14.81 skol26, skol27, X, Y, skol26, skol27 ) }.
% 14.36/14.81 parent0: (52520) {G2,W9,D2,L1,V2,M1} { eqangle( X, Y, skol26, skol27, X, Y
% 14.36/14.81 , skol26, skol27 ) }.
% 14.36/14.81 substitution0:
% 14.36/14.81 X := X
% 14.36/14.81 Y := Y
% 14.36/14.81 end
% 14.36/14.81 permutation0:
% 14.36/14.81 0 ==> 0
% 14.36/14.81 end
% 14.36/14.81
% 14.36/14.81 resolution: (52521) {G5,W5,D2,L1,V1,M1} { cyclic( X, skol27, skol26,
% 14.36/14.81 skol26 ) }.
% 14.36/14.81 parent0[0]: (878) {G5,W14,D2,L2,V1,M2} R(42,819) { ! eqangle( skol26, X,
% 14.36/14.81 skol26, skol27, skol26, X, skol26, skol27 ), cyclic( X, skol27, skol26,
% 14.36/14.81 skol26 ) }.
% 14.36/14.81 parent1[0]: (47771) {G4,W9,D2,L1,V2,M1} R(792,20774) { eqangle( X, Y,
% 14.36/14.81 skol26, skol27, X, Y, skol26, skol27 ) }.
% 14.36/14.81 substitution0:
% 14.36/14.81 X := X
% 14.36/14.81 end
% 14.36/14.81 substitution1:
% 14.36/14.81 X := skol26
% 14.36/14.81 Y := X
% 14.36/14.81 end
% 14.36/14.81
% 14.36/14.81 subsumption: (51812) {G6,W5,D2,L1,V1,M1} S(878);r(47771) { cyclic( X,
% 14.36/14.81 skol27, skol26, skol26 ) }.
% 14.36/14.81 parent0: (52521) {G5,W5,D2,L1,V1,M1} { cyclic( X, skol27, skol26, skol26 )
% 14.36/14.81 }.
% 14.36/14.81 substitution0:
% 14.36/14.81 X := X
% 14.36/14.81 end
% 14.36/14.81 permutation0:
% 14.36/14.81 0 ==> 0
% 14.36/14.81 end
% 14.36/14.81
% 14.36/14.81 resolution: (52522) {G2,W10,D2,L2,V1,M2} { cyclic( X, skol26, skol27,
% 14.36/14.81 skol26 ), ! cyclic( X, skol27, skol26, skol26 ) }.
% 14.36/14.81 parent0[0]: (879) {G5,W14,D2,L2,V1,M2} R(42,818) { ! eqangle( skol27, X,
% 14.36/14.81 skol27, skol26, skol26, X, skol26, skol26 ), cyclic( X, skol26, skol27,
% 14.36/14.81 skol26 ) }.
% 14.36/14.81 parent1[0]: (814) {G1,W14,D2,L2,V4,M2} R(40,14) { eqangle( X, Y, X, Z, T, Y
% 14.36/14.81 , T, Z ), ! cyclic( Y, X, Z, T ) }.
% 14.36/14.81 substitution0:
% 14.36/14.81 X := X
% 14.36/14.81 end
% 14.36/14.81 substitution1:
% 14.36/14.81 X := skol27
% 14.36/14.81 Y := X
% 14.36/14.81 Z := skol26
% 14.36/14.81 T := skol26
% 14.36/14.81 end
% 14.36/14.81
% 14.36/14.81 resolution: (52523) {G3,W5,D2,L1,V1,M1} { cyclic( X, skol26, skol27,
% 14.36/14.81 skol26 ) }.
% 14.36/14.81 parent0[1]: (52522) {G2,W10,D2,L2,V1,M2} { cyclic( X, skol26, skol27,
% 14.36/14.81 skol26 ), ! cyclic( X, skol27, skol26, skol26 ) }.
% 14.36/14.81 parent1[0]: (51812) {G6,W5,D2,L1,V1,M1} S(878);r(47771) { cyclic( X, skol27
% 14.36/14.81 , skol26, skol26 ) }.
% 14.36/14.81 substitution0:
% 14.36/14.81 X := X
% 14.36/14.81 end
% 14.36/14.81 substitution1:
% 14.36/14.81 X := X
% 14.36/14.81 end
% 14.36/14.81
% 14.36/14.81 subsumption: (51879) {G7,W5,D2,L1,V1,M1} R(879,814);r(51812) { cyclic( X,
% 14.36/14.81 skol26, skol27, skol26 ) }.
% 14.36/14.81 parent0: (52523) {G3,W5,D2,L1,V1,M1} { cyclic( X, skol26, skol27, skol26 )
% 14.36/14.81 }.
% 14.36/14.81 substitution0:
% 14.36/14.81 X := X
% 14.36/14.81 end
% 14.36/14.81 permutation0:
% 14.36/14.81 0 ==> 0
% 14.36/14.81 end
% 14.36/14.81
% 14.36/14.81 resolution: (52524) {G2,W10,D2,L2,V1,M2} { cyclic( X, skol26, skol26,
% 14.36/14.81 skol27 ), ! cyclic( X, skol26, skol27, skol26 ) }.
% 14.36/14.81 parent0[0]: (880) {G4,W14,D2,L2,V1,M2} R(42,550) { ! eqangle( skol26, X,
% 14.36/14.81 skol26, skol26, skol27, X, skol27, skol26 ), cyclic( X, skol26, skol26,
% 14.36/14.81 skol27 ) }.
% 14.36/14.81 parent1[1]: (810) {G1,W14,D2,L2,V4,M2} R(40,19) { ! cyclic( X, Y, Z, T ),
% 14.36/14.81 eqangle( T, X, T, Y, Z, X, Z, Y ) }.
% 14.36/14.81 substitution0:
% 14.36/14.81 X := X
% 14.36/14.81 end
% 14.36/14.81 substitution1:
% 14.36/14.81 X := X
% 14.36/14.81 Y := skol26
% 14.36/14.81 Z := skol27
% 14.36/14.81 T := skol26
% 14.36/14.81 end
% 14.36/14.81
% 14.36/14.81 resolution: (52525) {G3,W5,D2,L1,V1,M1} { cyclic( X, skol26, skol26,
% 14.36/14.81 skol27 ) }.
% 14.36/14.81 parent0[1]: (52524) {G2,W10,D2,L2,V1,M2} { cyclic( X, skol26, skol26,
% 14.36/14.81 skol27 ), ! cyclic( X, skol26, skol27, skol26 ) }.
% 14.36/14.81 parent1[0]: (51879) {G7,W5,D2,L1,V1,M1} R(879,814);r(51812) { cyclic( X,
% 14.36/14.81 skol26, skol27, skol26 ) }.
% 14.36/14.81 substitution0:
% 14.36/14.81 X := X
% 14.36/14.81 end
% 14.36/14.81 substitution1:
% 14.36/14.81 X := X
% 14.36/14.81 end
% 14.36/14.81
% 14.36/14.81 subsumption: (51942) {G8,W5,D2,L1,V1,M1} R(880,810);r(51879) { cyclic( X,
% 14.36/14.81 skol26, skol26, skol27 ) }.
% 14.36/14.81 parent0: (52525) {G3,W5,D2,L1,V1,M1} { cyclic( X, skol26, skol26, skol27 )
% 14.36/14.81 }.
% 14.36/14.81 substitution0:
% 14.36/14.81 X := X
% 14.36/14.81 end
% 14.36/14.81 permutation0:
% 14.36/14.81 0 ==> 0
% 14.36/14.81 end
% 14.36/14.81
% 14.36/14.81 resolution: (52526) {G2,W5,D2,L1,V1,M1} { cyclic( skol26, X, skol27,
% 14.36/14.81 skol26 ) }.
% 14.36/14.81 parent0[1]: (417) {G1,W10,D2,L2,V4,M2} R(15,13) { cyclic( X, Y, Z, T ), !
% 14.36/14.81 cyclic( Y, X, T, Z ) }.
% 14.36/14.81 parent1[0]: (51942) {G8,W5,D2,L1,V1,M1} R(880,810);r(51879) { cyclic( X,
% 14.36/14.81 skol26, skol26, skol27 ) }.
% 14.36/14.81 substitution0:
% 14.36/14.81 X := skol26
% 14.36/14.81 Y := X
% 14.36/14.81 Z := skol27
% 14.36/14.81 T := skol26
% 14.36/14.81 end
% 14.36/14.81 substitution1:
% 14.36/14.81 X := X
% 14.36/14.81 end
% 14.36/14.81
% 14.36/14.81 subsumption: (51977) {G9,W5,D2,L1,V1,M1} R(51942,417) { cyclic( skol26, X,
% 14.36/14.81 skol27, skol26 ) }.
% 14.36/14.81 parent0: (52526) {G2,W5,D2,L1,V1,M1} { cyclic( skol26, X, skol27, skol26 )
% 14.36/14.81 }.
% 14.36/14.81 substitution0:
% 14.36/14.81 X := X
% 14.36/14.81 end
% 14.36/14.81 permutation0:
% 14.36/14.81 0 ==> 0
% 14.36/14.81 end
% 14.36/14.81
% 14.36/14.81 resolution: (52527) {G3,W5,D2,L1,V1,M1} { cyclic( skol27, X, skol26,
% 14.36/14.81 skol26 ) }.
% 14.36/14.81 parent0[0]: (450) {G2,W10,D2,L2,V4,M2} F(438) { ! cyclic( X, Y, Z, T ),
% 14.36/14.81 cyclic( Z, Y, T, T ) }.
% 14.36/14.81 parent1[0]: (51977) {G9,W5,D2,L1,V1,M1} R(51942,417) { cyclic( skol26, X,
% 14.36/14.81 skol27, skol26 ) }.
% 14.36/14.81 substitution0:
% 14.36/14.81 X := skol26
% 14.36/14.81 Y := X
% 14.36/14.81 Z := skol27
% 14.36/14.81 T := skol26
% 14.36/14.81 end
% 14.36/14.81 substitution1:
% 14.36/14.81 X := X
% 14.36/14.81 end
% 14.36/14.81
% 14.36/14.81 subsumption: (51987) {G10,W5,D2,L1,V1,M1} R(51977,450) { cyclic( skol27, X
% 14.36/14.81 , skol26, skol26 ) }.
% 14.36/14.81 parent0: (52527) {G3,W5,D2,L1,V1,M1} { cyclic( skol27, X, skol26, skol26 )
% 14.36/14.81 }.
% 14.36/14.81 substitution0:
% 14.36/14.81 X := X
% 14.36/14.81 end
% 14.36/14.81 permutation0:
% 14.36/14.81 0 ==> 0
% 14.36/14.81 end
% 14.36/14.81
% 14.36/14.81 resolution: (52528) {G3,W5,D2,L1,V1,M1} { cyclic( skol26, X, skol26,
% 14.36/14.81 skol26 ) }.
% 14.36/14.81 parent0[0]: (450) {G2,W10,D2,L2,V4,M2} F(438) { ! cyclic( X, Y, Z, T ),
% 14.36/14.81 cyclic( Z, Y, T, T ) }.
% 14.36/14.81 parent1[0]: (51987) {G10,W5,D2,L1,V1,M1} R(51977,450) { cyclic( skol27, X,
% 14.36/14.81 skol26, skol26 ) }.
% 14.36/14.81 substitution0:
% 14.36/14.81 X := skol27
% 14.36/14.81 Y := X
% 14.36/14.81 Z := skol26
% 14.36/14.81 T := skol26
% 14.36/14.81 end
% 14.36/14.81 substitution1:
% 14.36/14.81 X := X
% 14.36/14.81 end
% 14.36/14.81
% 14.36/14.81 subsumption: (51999) {G11,W5,D2,L1,V1,M1} R(51987,450) { cyclic( skol26, X
% 14.36/14.81 , skol26, skol26 ) }.
% 14.36/14.81 parent0: (52528) {G3,W5,D2,L1,V1,M1} { cyclic( skol26, X, skol26, skol26 )
% 14.36/14.81 }.
% 14.36/14.81 substitution0:
% 14.36/14.81 X := X
% 14.36/14.81 end
% 14.36/14.81 permutation0:
% 14.36/14.81 0 ==> 0
% 14.36/14.81 end
% 14.36/14.81
% 14.36/14.81 resolution: (52529) {G2,W5,D2,L1,V1,M1} { cyclic( skol26, skol26, X,
% 14.36/14.81 skol26 ) }.
% 14.36/14.81 parent0[1]: (414) {G1,W10,D2,L2,V4,M2} R(15,14) { cyclic( X, Y, Z, T ), !
% 14.36/14.81 cyclic( Y, Z, X, T ) }.
% 14.36/14.81 parent1[0]: (51999) {G11,W5,D2,L1,V1,M1} R(51987,450) { cyclic( skol26, X,
% 14.36/14.81 skol26, skol26 ) }.
% 14.36/14.81 substitution0:
% 14.36/14.81 X := skol26
% 14.36/14.81 Y := skol26
% 14.36/14.81 Z := X
% 14.36/14.81 T := skol26
% 14.36/14.81 end
% 14.36/14.81 substitution1:
% 14.36/14.81 X := X
% 14.36/14.81 end
% 14.36/14.81
% 14.36/14.81 subsumption: (52021) {G12,W5,D2,L1,V1,M1} R(51999,414) { cyclic( skol26,
% 14.36/14.81 skol26, X, skol26 ) }.
% 14.36/14.81 parent0: (52529) {G2,W5,D2,L1,V1,M1} { cyclic( skol26, skol26, X, skol26 )
% 14.36/14.81 }.
% 14.36/14.81 substitution0:
% 14.36/14.81 X := X
% 14.36/14.81 end
% 14.36/14.81 permutation0:
% 14.36/14.81 0 ==> 0
% 14.36/14.81 end
% 14.36/14.81
% 14.36/14.81 resolution: (52530) {G2,W5,D2,L1,V1,M1} { cyclic( skol26, skol26, skol26,
% 14.36/14.81 X ) }.
% 14.36/14.81 parent0[0]: (406) {G1,W10,D2,L2,V4,M2} R(14,13) { ! cyclic( X, Y, Z, T ),
% 14.36/14.81 cyclic( X, Z, T, Y ) }.
% 14.36/14.81 parent1[0]: (51999) {G11,W5,D2,L1,V1,M1} R(51987,450) { cyclic( skol26, X,
% 14.36/14.81 skol26, skol26 ) }.
% 14.36/14.81 substitution0:
% 14.36/14.81 X := skol26
% 14.36/14.81 Y := X
% 14.36/14.81 Z := skol26
% 14.36/14.81 T := skol26
% 14.36/14.81 end
% 14.36/14.81 substitution1:
% 14.36/14.81 X := X
% 14.36/14.81 end
% 14.36/14.81
% 14.36/14.81 subsumption: (52022) {G12,W5,D2,L1,V1,M1} R(51999,406) { cyclic( skol26,
% 14.36/14.81 skol26, skol26, X ) }.
% 14.36/14.81 parent0: (52530) {G2,W5,D2,L1,V1,M1} { cyclic( skol26, skol26, skol26, X )
% 14.36/14.81 }.
% 14.36/14.81 substitution0:
% 14.36/14.81 X := X
% 14.36/14.81 end
% 14.36/14.81 permutation0:
% 14.36/14.81 0 ==> 0
% 14.36/14.81 end
% 14.36/14.81
% 14.36/14.81 resolution: (52532) {G2,W10,D2,L2,V2,M2} { ! cyclic( skol26, skol26,
% 14.36/14.81 skol26, X ), cyclic( skol26, skol26, X, Y ) }.
% 14.36/14.81 parent0[2]: (446) {G1,W15,D2,L3,V5,M3} R(16,13) { ! cyclic( X, Y, Z, T ),
% 14.36/14.81 cyclic( Y, Z, T, U ), ! cyclic( X, Y, U, Z ) }.
% 14.36/14.81 parent1[0]: (52021) {G12,W5,D2,L1,V1,M1} R(51999,414) { cyclic( skol26,
% 14.36/14.81 skol26, X, skol26 ) }.
% 14.36/14.81 substitution0:
% 14.36/14.81 X := skol26
% 14.36/14.81 Y := skol26
% 14.36/14.81 Z := skol26
% 14.36/14.81 T := X
% 14.36/14.81 U := Y
% 14.36/14.81 end
% 14.36/14.81 substitution1:
% 14.36/14.81 X := Y
% 14.36/14.81 end
% 14.36/14.81
% 14.36/14.81 resolution: (52533) {G3,W5,D2,L1,V2,M1} { cyclic( skol26, skol26, X, Y )
% 14.36/14.81 }.
% 14.36/14.81 parent0[0]: (52532) {G2,W10,D2,L2,V2,M2} { ! cyclic( skol26, skol26,
% 14.36/14.81 skol26, X ), cyclic( skol26, skol26, X, Y ) }.
% 14.36/14.81 parent1[0]: (52022) {G12,W5,D2,L1,V1,M1} R(51999,406) { cyclic( skol26,
% 14.36/14.81 skol26, skol26, X ) }.
% 14.36/14.81 substitution0:
% 14.36/14.81 X := X
% 14.36/14.81 Y := Y
% 14.36/14.81 end
% 14.36/14.81 substitution1:
% 14.36/14.81 X := X
% 14.36/14.81 end
% 14.36/14.81
% 14.36/14.81 subsumption: (52051) {G13,W5,D2,L1,V2,M1} R(52021,446);r(52022) { cyclic(
% 14.36/14.81 skol26, skol26, X, Y ) }.
% 14.36/14.81 parent0: (52533) {G3,W5,D2,L1,V2,M1} { cyclic( skol26, skol26, X, Y ) }.
% 14.36/14.81 substitution0:
% 14.36/14.81 X := X
% 14.36/14.81 Y := Y
% 14.36/14.81 end
% 14.36/14.81 permutation0:
% 14.36/14.81 0 ==> 0
% 14.36/14.81 end
% 14.36/14.81
% 14.36/14.81 resolution: (52534) {G2,W10,D2,L2,V3,M2} { cyclic( skol26, X, Y, Z ), !
% 14.36/14.81 cyclic( skol26, skol26, Z, X ) }.
% 14.36/14.81 parent0[0]: (446) {G1,W15,D2,L3,V5,M3} R(16,13) { ! cyclic( X, Y, Z, T ),
% 14.36/14.81 cyclic( Y, Z, T, U ), ! cyclic( X, Y, U, Z ) }.
% 14.36/14.81 parent1[0]: (52051) {G13,W5,D2,L1,V2,M1} R(52021,446);r(52022) { cyclic(
% 14.36/14.81 skol26, skol26, X, Y ) }.
% 14.36/14.81 substitution0:
% 14.36/14.81 X := skol26
% 14.36/14.81 Y := skol26
% 14.36/14.81 Z := X
% 14.36/14.81 T := Y
% 14.36/14.81 U := Z
% 14.36/14.81 end
% 14.36/14.81 substitution1:
% 14.36/14.81 X := X
% 14.36/14.81 Y := Y
% 14.36/14.81 end
% 14.36/14.81
% 14.36/14.81 resolution: (52536) {G3,W5,D2,L1,V3,M1} { cyclic( skol26, X, Y, Z ) }.
% 14.36/14.81 parent0[1]: (52534) {G2,W10,D2,L2,V3,M2} { cyclic( skol26, X, Y, Z ), !
% 14.36/14.81 cyclic( skol26, skol26, Z, X ) }.
% 14.36/14.81 parent1[0]: (52051) {G13,W5,D2,L1,V2,M1} R(52021,446);r(52022) { cyclic(
% 14.36/14.81 skol26, skol26, X, Y ) }.
% 14.36/14.81 substitution0:
% 14.36/14.81 X := X
% 14.36/14.81 Y := Y
% 14.36/14.81 Z := Z
% 14.36/14.81 end
% 14.36/14.81 substitution1:
% 14.36/14.81 X := Z
% 14.36/14.81 Y := X
% 14.36/14.81 end
% 14.36/14.81
% 14.36/14.81 subsumption: (52073) {G14,W5,D2,L1,V3,M1} R(52051,446);r(52051) { cyclic(
% 14.36/14.81 skol26, X, Y, Z ) }.
% 14.36/14.81 parent0: (52536) {G3,W5,D2,L1,V3,M1} { cyclic( skol26, X, Y, Z ) }.
% 14.36/14.81 substitution0:
% 14.36/14.81 X := X
% 14.36/14.81 Y := Y
% 14.36/14.81 Z := Z
% 14.36/14.81 end
% 14.36/14.81 permutation0:
% 14.36/14.81 0 ==> 0
% 14.36/14.81 end
% 14.36/14.81
% 14.36/14.81 resolution: (52537) {G4,W5,D2,L1,V0,M1} { ! cyclic( skol26, skol22, skol20
% 14.36/14.81 , skol24 ) }.
% 14.36/14.81 parent0[0]: (471) {G3,W10,D2,L2,V1,M2} R(416,16) { ! cyclic( X, skol22,
% 14.36/14.81 skol20, skol23 ), ! cyclic( X, skol22, skol20, skol24 ) }.
% 14.36/14.81 parent1[0]: (52073) {G14,W5,D2,L1,V3,M1} R(52051,446);r(52051) { cyclic(
% 14.36/14.81 skol26, X, Y, Z ) }.
% 14.36/14.81 substitution0:
% 14.36/14.81 X := skol26
% 14.36/14.81 end
% 14.36/14.81 substitution1:
% 14.36/14.81 X := skol22
% 14.36/14.81 Y := skol20
% 14.36/14.81 Z := skol23
% 14.36/14.81 end
% 14.36/14.81
% 14.36/14.81 resolution: (52539) {G5,W0,D0,L0,V0,M0} { }.
% 14.36/14.81 parent0[0]: (52537) {G4,W5,D2,L1,V0,M1} { ! cyclic( skol26, skol22, skol20
% 14.36/14.81 , skol24 ) }.
% 14.36/14.81 parent1[0]: (52073) {G14,W5,D2,L1,V3,M1} R(52051,446);r(52051) { cyclic(
% 14.36/14.81 skol26, X, Y, Z ) }.
% 14.36/14.81 substitution0:
% 14.36/14.81 end
% 14.36/14.81 substitution1:
% 14.36/14.81 X := skol22
% 14.36/14.81 Y := skol20
% 14.36/14.81 Z := skol24
% 14.36/14.81 end
% 14.36/14.81
% 14.36/14.81 subsumption: (52089) {G15,W0,D0,L0,V0,M0} R(52073,471);r(52073) { }.
% 14.36/14.81 parent0: (52539) {G5,W0,D0,L0,V0,M0} { }.
% 14.36/14.81 substitution0:
% 14.36/14.81 end
% 14.36/14.81 permutation0:
% 14.36/14.81 end
% 14.36/14.81
% 14.36/14.81 Proof check complete!
% 14.36/14.81
% 14.36/14.81 Memory use:
% 14.36/14.81
% 14.36/14.81 space for terms: 699834
% 14.36/14.81 space for clauses: 2379866
% 14.36/14.81
% 14.36/14.81
% 14.36/14.81 clauses generated: 414470
% 14.36/14.81 clauses kept: 52090
% 14.36/14.81 clauses selected: 3025
% 14.36/14.81 clauses deleted: 3765
% 14.36/14.81 clauses inuse deleted: 93
% 14.36/14.81
% 14.36/14.81 subsentry: 14867685
% 14.36/14.81 literals s-matched: 8344786
% 14.36/14.81 literals matched: 4350264
% 14.36/14.81 full subsumption: 1483823
% 14.36/14.81
% 14.36/14.81 checksum: -1790258519
% 14.36/14.81
% 14.36/14.81
% 14.36/14.81 Bliksem ended
%------------------------------------------------------------------------------