TSTP Solution File: GEO637+1 by Bliksem---1.12
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : GEO637+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 02:55:16 EDT 2022
% Result : Theorem 2.85s 3.24s
% Output : Refutation 2.85s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.08 % Problem : GEO637+1 : TPTP v8.1.0. Released v7.5.0.
% 0.07/0.08 % Command : bliksem %s
% 0.07/0.27 % Computer : n032.cluster.edu
% 0.07/0.27 % Model : x86_64 x86_64
% 0.07/0.27 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.27 % Memory : 8042.1875MB
% 0.07/0.27 % OS : Linux 3.10.0-693.el7.x86_64
% 0.07/0.27 % CPULimit : 300
% 0.07/0.27 % DateTime : Sat Jun 18 16:21:17 EDT 2022
% 0.07/0.27 % CPUTime :
% 0.52/0.93 *** allocated 10000 integers for termspace/termends
% 0.52/0.93 *** allocated 10000 integers for clauses
% 0.52/0.93 *** allocated 10000 integers for justifications
% 0.52/0.93 Bliksem 1.12
% 0.52/0.93
% 0.52/0.93
% 0.52/0.93 Automatic Strategy Selection
% 0.52/0.93
% 0.52/0.93 *** allocated 15000 integers for termspace/termends
% 0.52/0.93
% 0.52/0.93 Clauses:
% 0.52/0.93
% 0.52/0.93 { ! coll( X, Y, Z ), coll( X, Z, Y ) }.
% 0.52/0.93 { ! coll( X, Y, Z ), coll( Y, X, Z ) }.
% 0.52/0.93 { ! coll( X, T, Y ), ! coll( X, T, Z ), coll( Y, Z, X ) }.
% 0.52/0.93 { ! para( X, Y, Z, T ), para( X, Y, T, Z ) }.
% 0.52/0.93 { ! para( X, Y, Z, T ), para( Z, T, X, Y ) }.
% 0.52/0.93 { ! para( X, Y, U, W ), ! para( U, W, Z, T ), para( X, Y, Z, T ) }.
% 0.52/0.93 { ! perp( X, Y, Z, T ), perp( X, Y, T, Z ) }.
% 0.52/0.93 { ! perp( X, Y, Z, T ), perp( Z, T, X, Y ) }.
% 0.52/0.93 { ! perp( X, Y, U, W ), ! perp( U, W, Z, T ), para( X, Y, Z, T ) }.
% 0.52/0.93 { ! para( X, Y, U, W ), ! perp( U, W, Z, T ), perp( X, Y, Z, T ) }.
% 0.52/0.93 { ! midp( Z, Y, X ), midp( Z, X, Y ) }.
% 0.52/0.93 { ! cong( T, X, T, Y ), ! cong( T, X, T, Z ), circle( T, X, Y, Z ) }.
% 0.52/0.93 { ! cong( U, X, U, Y ), ! cong( U, X, U, Z ), ! cong( U, X, U, T ), cyclic
% 0.52/0.93 ( X, Y, Z, T ) }.
% 0.52/0.93 { ! cyclic( X, Y, Z, T ), cyclic( X, Y, T, Z ) }.
% 0.52/0.93 { ! cyclic( X, Y, Z, T ), cyclic( X, Z, Y, T ) }.
% 0.52/0.93 { ! cyclic( X, Y, Z, T ), cyclic( Y, X, Z, T ) }.
% 0.52/0.93 { ! cyclic( U, X, Y, Z ), ! cyclic( U, X, Y, T ), cyclic( X, Y, Z, T ) }.
% 0.52/0.93 { ! eqangle( X, Y, Z, T, U, W, V0, V1 ), eqangle( Y, X, Z, T, U, W, V0, V1
% 0.52/0.93 ) }.
% 0.52/0.93 { ! eqangle( X, Y, Z, T, U, W, V0, V1 ), eqangle( Z, T, X, Y, V0, V1, U, W
% 0.52/0.93 ) }.
% 0.52/0.93 { ! eqangle( X, Y, Z, T, U, W, V0, V1 ), eqangle( U, W, V0, V1, X, Y, Z, T
% 0.52/0.93 ) }.
% 0.52/0.93 { ! eqangle( X, Y, Z, T, U, W, V0, V1 ), eqangle( X, Y, U, W, Z, T, V0, V1
% 0.52/0.93 ) }.
% 0.52/0.93 { ! eqangle( X, Y, Z, T, V2, V3, V4, V5 ), ! eqangle( V2, V3, V4, V5, U, W
% 0.52/0.93 , V0, V1 ), eqangle( X, Y, Z, T, U, W, V0, V1 ) }.
% 0.52/0.93 { ! cong( X, Y, Z, T ), cong( X, Y, T, Z ) }.
% 0.52/0.93 { ! cong( X, Y, Z, T ), cong( Z, T, X, Y ) }.
% 0.52/0.93 { ! cong( X, Y, U, W ), ! cong( U, W, Z, T ), cong( X, Y, Z, T ) }.
% 0.52/0.93 { ! eqratio( X, Y, Z, T, U, W, V0, V1 ), eqratio( Y, X, Z, T, U, W, V0, V1
% 0.52/0.93 ) }.
% 0.52/0.93 { ! eqratio( X, Y, Z, T, U, W, V0, V1 ), eqratio( Z, T, X, Y, V0, V1, U, W
% 0.52/0.93 ) }.
% 0.52/0.93 { ! eqratio( X, Y, Z, T, U, W, V0, V1 ), eqratio( U, W, V0, V1, X, Y, Z, T
% 0.52/0.93 ) }.
% 0.52/0.93 { ! eqratio( X, Y, Z, T, U, W, V0, V1 ), eqratio( X, Y, U, W, Z, T, V0, V1
% 0.52/0.93 ) }.
% 0.52/0.93 { ! eqratio( X, Y, Z, T, V2, V3, V4, V5 ), ! eqratio( V2, V3, V4, V5, U, W
% 0.52/0.93 , V0, V1 ), eqratio( X, Y, Z, T, U, W, V0, V1 ) }.
% 0.52/0.93 { ! simtri( X, Z, Y, T, W, U ), simtri( X, Y, Z, T, U, W ) }.
% 0.52/0.93 { ! simtri( Y, X, Z, U, T, W ), simtri( X, Y, Z, T, U, W ) }.
% 0.52/0.93 { ! simtri( T, U, W, X, Y, Z ), simtri( X, Y, Z, T, U, W ) }.
% 0.52/0.93 { ! simtri( X, Y, Z, V0, V1, V2 ), ! simtri( V0, V1, V2, T, U, W ), simtri
% 0.52/0.93 ( X, Y, Z, T, U, W ) }.
% 0.52/0.93 { ! contri( X, Z, Y, T, W, U ), contri( X, Y, Z, T, U, W ) }.
% 0.52/0.93 { ! contri( Y, X, Z, U, T, W ), contri( X, Y, Z, T, U, W ) }.
% 0.52/0.93 { ! contri( T, U, W, X, Y, Z ), contri( X, Y, Z, T, U, W ) }.
% 0.52/0.93 { ! contri( X, Y, Z, V0, V1, V2 ), ! contri( V0, V1, V2, T, U, W ), contri
% 0.52/0.93 ( X, Y, Z, T, U, W ) }.
% 0.52/0.93 { ! eqangle( X, Y, U, W, Z, T, U, W ), para( X, Y, Z, T ) }.
% 0.52/0.93 { ! para( X, Y, Z, T ), eqangle( X, Y, U, W, Z, T, U, W ) }.
% 0.52/0.93 { ! cyclic( X, Y, Z, T ), eqangle( Z, X, Z, Y, T, X, T, Y ) }.
% 0.52/0.93 { ! eqangle( Z, X, Z, Y, T, X, T, Y ), coll( Z, T, X ), cyclic( X, Y, Z, T
% 0.52/0.93 ) }.
% 0.52/0.93 { ! eqangle( Z, X, Z, Y, T, X, T, Y ), ! coll( Z, T, Y ), cyclic( X, Y, Z,
% 0.52/0.93 T ) }.
% 0.52/0.93 { ! cyclic( X, Y, U, Z ), ! cyclic( X, Y, U, T ), ! cyclic( X, Y, U, W ), !
% 0.52/0.93 eqangle( U, X, U, Y, W, Z, W, T ), cong( X, Y, Z, T ) }.
% 0.52/0.93 { ! midp( Z, U, X ), ! midp( T, U, Y ), para( Z, T, X, Y ) }.
% 0.52/0.93 { ! midp( U, X, T ), ! para( U, Z, T, Y ), ! coll( Z, X, Y ), midp( Z, X, Y
% 0.52/0.93 ) }.
% 0.52/0.93 { ! cong( Z, X, Z, Y ), eqangle( Z, X, X, Y, X, Y, Z, Y ) }.
% 0.52/0.93 { ! eqangle( Z, X, X, Y, X, Y, Z, Y ), coll( Z, X, Y ), cong( Z, X, Z, Y )
% 0.52/0.93 }.
% 0.52/0.93 { ! circle( U, X, Y, Z ), ! perp( U, X, X, T ), eqangle( X, T, X, Y, Z, X,
% 0.52/0.93 Z, Y ) }.
% 0.52/0.93 { ! circle( Y, X, T, U ), ! eqangle( X, Z, X, T, U, X, U, T ), perp( Y, X,
% 0.52/0.93 X, Z ) }.
% 0.52/0.93 { ! circle( T, X, Y, Z ), ! midp( U, Y, Z ), eqangle( X, Y, X, Z, T, Y, T,
% 0.52/0.93 U ) }.
% 0.52/0.93 { ! circle( U, T, X, Y ), ! coll( Z, X, Y ), ! eqangle( T, X, T, Y, U, X, U
% 0.52/0.93 , Z ), midp( Z, X, Y ) }.
% 0.52/0.93 { ! perp( X, Y, Y, T ), ! midp( Z, X, T ), cong( X, Z, Y, Z ) }.
% 0.52/0.93 { ! circle( T, X, Y, Z ), ! coll( T, X, Z ), perp( X, Y, Y, Z ) }.
% 0.52/0.93 { ! cyclic( X, Y, Z, T ), ! para( X, Y, Z, T ), eqangle( X, T, Z, T, Z, T,
% 0.52/0.93 Z, Y ) }.
% 0.52/0.93 { ! midp( T, X, Y ), ! perp( Z, T, X, Y ), cong( Z, X, Z, Y ) }.
% 0.52/0.93 { ! cong( X, Z, Y, Z ), ! cong( X, T, Y, T ), perp( X, Y, Z, T ) }.
% 0.52/0.93 { ! cong( X, Y, T, Y ), ! cong( X, Z, T, Z ), ! cyclic( X, T, Y, Z ), perp
% 0.52/0.93 ( Y, X, X, Z ) }.
% 0.52/0.93 { ! eqangle( X, Y, Y, Z, T, U, U, W ), ! eqangle( X, Z, Y, Z, T, W, U, W )
% 0.52/0.93 , coll( X, Y, Z ), simtri( X, Y, Z, T, U, W ) }.
% 0.52/0.93 { ! simtri( X, Y, Z, T, U, W ), eqratio( X, Y, X, Z, T, U, T, W ) }.
% 0.52/0.93 { ! simtri( X, Y, Z, T, U, W ), eqangle( X, Y, Y, Z, T, U, U, W ) }.
% 0.52/0.93 { ! simtri( X, Y, Z, T, U, W ), ! cong( X, Y, T, U ), contri( X, Y, Z, T, U
% 0.52/0.93 , W ) }.
% 0.52/0.93 { ! contri( X, Y, U, Z, T, W ), cong( X, Y, Z, T ) }.
% 0.52/0.93 { ! midp( U, X, Y ), ! midp( U, Z, T ), para( X, Z, Y, T ) }.
% 0.52/0.93 { ! midp( Z, T, U ), ! para( T, X, U, Y ), ! para( T, Y, U, X ), midp( Z, X
% 0.52/0.93 , Y ) }.
% 0.52/0.93 { ! para( X, Y, Z, T ), ! coll( U, X, Z ), ! coll( U, Y, T ), eqratio( U, X
% 0.52/0.93 , X, Z, U, Y, Y, T ) }.
% 0.52/0.93 { ! para( X, Y, X, Z ), coll( X, Y, Z ) }.
% 0.52/0.93 { ! cong( X, Y, X, Z ), ! coll( X, Y, Z ), midp( X, Y, Z ) }.
% 0.52/0.93 { ! midp( X, Y, Z ), cong( X, Y, X, Z ) }.
% 0.52/0.93 { ! midp( X, Y, Z ), coll( X, Y, Z ) }.
% 0.52/0.93 { ! midp( U, X, Y ), ! midp( W, Z, T ), eqratio( U, X, X, Y, W, Z, Z, T ) }
% 0.52/0.93 .
% 0.52/0.93 { ! eqangle( X, Y, Z, T, Z, T, X, Y ), para( X, Y, Z, T ), perp( X, Y, Z, T
% 0.52/0.93 ) }.
% 0.52/0.93 { ! eqangle( X, Y, Z, T, Z, T, X, Y ), perp( X, Y, Z, T ), para( X, Y, Z, T
% 0.52/0.93 ) }.
% 0.52/0.93 { ! eqangle( X, Y, Z, T, U, W, V0, V1 ), ! para( U, W, V0, V1 ), para( X, Y
% 0.52/0.93 , Z, T ) }.
% 0.52/0.93 { ! eqangle( X, Y, Z, T, U, W, V0, V1 ), ! perp( U, W, V0, V1 ), perp( X, Y
% 0.52/0.93 , Z, T ) }.
% 0.52/0.93 { ! eqratio( X, Y, Z, T, U, W, V0, V1 ), ! cong( U, W, V0, V1 ), cong( X, Y
% 0.52/0.93 , Z, T ) }.
% 0.52/0.93 { ! perp( Z, Y, Y, X ), ! eqangle( T, Z, Y, Z, Y, Z, X, Z ), coll( skol1( U
% 0.52/0.93 , W, Z, T ), Z, T ) }.
% 0.52/0.93 { ! perp( Z, Y, Y, X ), ! eqangle( T, Z, Y, Z, Y, Z, X, Z ), coll( skol1( X
% 0.52/0.93 , Y, Z, T ), X, Y ) }.
% 0.52/0.93 { ! cong( Z, X, Z, Y ), ! eqangle( X, Z, Z, T, Z, T, Z, Y ), coll( skol2( U
% 0.52/0.93 , W, Z, T ), Z, T ) }.
% 0.52/0.93 { ! cong( Z, X, Z, Y ), ! eqangle( X, Z, Z, T, Z, T, Z, Y ), coll( Y, X,
% 0.52/0.93 skol2( X, Y, Z, T ) ) }.
% 0.52/0.93 { ! perp( Z, T, X, Y ), ! eqangle( X, Z, Z, T, Z, T, Z, Y ), coll( skol3( U
% 0.52/0.93 , W, Z, T ), Z, T ) }.
% 0.52/0.93 { ! perp( Z, T, X, Y ), ! eqangle( X, Z, Z, T, Z, T, Z, Y ), coll( Y, X,
% 0.52/0.93 skol3( X, Y, Z, T ) ) }.
% 0.52/0.93 { ! perp( Z, T, X, Y ), ! cong( Z, X, Z, Y ), coll( skol4( U, W, Z, T ), Z
% 0.52/0.93 , T ) }.
% 0.52/0.93 { ! perp( Z, T, X, Y ), ! cong( Z, X, Z, Y ), coll( Y, X, skol4( X, Y, Z, T
% 0.52/0.93 ) ) }.
% 0.52/0.93 { ! eqangle( X, Z, Y, Z, X, T, Y, U ), coll( X, Y, Z ), cyclic( T, Y, Z,
% 0.52/0.93 skol5( W, Y, Z, T ) ) }.
% 0.52/0.93 { ! eqangle( X, Z, Y, Z, X, T, Y, U ), coll( X, Y, Z ), eqangle( X, Z, Y, Z
% 0.52/0.93 , X, skol5( X, Y, Z, T ), Y, skol5( X, Y, Z, T ) ) }.
% 0.52/0.93 { ! midp( U, X, Y ), ! midp( W, Z, T ), midp( skol6( X, V0, V1, T, V2, V3 )
% 0.52/0.93 , X, T ) }.
% 0.52/0.93 { ! midp( U, X, Y ), ! midp( W, Z, T ), para( skol6( X, V0, Z, T, V1, W ),
% 0.52/0.93 W, X, Z ) }.
% 0.52/0.93 { ! midp( U, X, Y ), ! midp( W, Z, T ), para( skol6( X, Y, Z, T, U, W ), U
% 0.52/0.93 , Y, T ) }.
% 0.52/0.93 { ! midp( Z, X, Y ), ! midp( W, T, U ), ! coll( T, X, Y ), ! coll( U, X, Y
% 0.52/0.93 ), midp( skol7( X, V0 ), X, V0 ) }.
% 0.52/0.93 { ! midp( T, X, U ), ! para( X, W, Z, T ), ! para( X, W, U, Y ), ! coll( W
% 0.52/0.93 , Y, Z ), coll( skol8( V0, V1, Z, T ), T, Z ) }.
% 0.52/0.93 { ! midp( T, X, U ), ! para( X, W, Z, T ), ! para( X, W, U, Y ), ! coll( W
% 0.52/0.93 , Y, Z ), coll( skol8( X, Y, Z, T ), X, Y ) }.
% 0.52/0.93 { ! cong( T, Z, T, U ), ! perp( X, Y, Y, T ), cong( T, Z, T, skol9( W, V0,
% 0.52/0.93 Z, T ) ) }.
% 0.52/0.93 { ! cong( T, Z, T, U ), ! perp( X, Y, Y, T ), cong( Y, Z, Y, skol9( W, Y, Z
% 0.52/0.93 , T ) ) }.
% 0.52/0.93 { ! cong( T, Z, T, U ), ! perp( X, Y, Y, T ), para( skol9( X, Y, Z, T ), Z
% 0.52/0.93 , X, Y ) }.
% 0.52/0.93 { ! perp( X, T, Y, Z ), ! perp( Y, T, X, Z ), coll( skol10( U, Y, Z ), Z, Y
% 0.52/0.93 ) }.
% 0.52/0.93 { ! perp( X, T, Y, Z ), ! perp( Y, T, X, Z ), perp( X, skol10( X, Y, Z ), Z
% 0.52/0.93 , Y ) }.
% 0.52/0.93 { ! perp( X, T, Y, Z ), ! perp( Y, T, X, Z ), alpha1( X, Y, Z ) }.
% 0.52/0.93 { ! alpha1( X, Y, Z ), coll( skol11( X, T, Z ), Z, X ) }.
% 0.52/0.93 { ! alpha1( X, Y, Z ), perp( Y, skol11( X, Y, Z ), Z, X ) }.
% 0.52/0.93 { ! coll( T, Z, X ), ! perp( Y, T, Z, X ), alpha1( X, Y, Z ) }.
% 0.52/0.93 { ! circle( Y, X, Z, T ), perp( skol12( X, Y ), X, X, Y ) }.
% 2.85/3.24 { ! circle( W, X, Y, Z ), ! cong( W, X, W, T ), ! cong( U, X, U, Y ), W = U
% 2.85/3.24 , alpha2( X, Z, U, skol13( X, V0, Z, V1, U ) ) }.
% 2.85/3.24 { ! circle( W, X, Y, Z ), ! cong( W, X, W, T ), ! cong( U, X, U, Y ), W = U
% 2.85/3.24 , coll( skol21( V0, Y, T, V1 ), Y, T ) }.
% 2.85/3.24 { ! circle( W, X, Y, Z ), ! cong( W, X, W, T ), ! cong( U, X, U, Y ), W = U
% 2.85/3.24 , cong( skol21( X, Y, T, U ), U, U, X ) }.
% 2.85/3.24 { ! alpha2( X, Y, Z, T ), coll( T, X, Y ) }.
% 2.85/3.24 { ! alpha2( X, Y, Z, T ), cong( T, Z, Z, X ) }.
% 2.85/3.24 { ! coll( T, X, Y ), ! cong( T, Z, Z, X ), alpha2( X, Y, Z, T ) }.
% 2.85/3.24 { ! cyclic( X, Y, Z, T ), ! para( X, Y, Z, T ), ! midp( U, X, Y ), circle(
% 2.85/3.24 skol14( X, Y, Z ), X, Y, Z ) }.
% 2.85/3.24 { ! perp( X, Z, Z, Y ), ! cyclic( X, Y, Z, T ), circle( skol15( X, Y, Z ),
% 2.85/3.24 X, Y, Z ) }.
% 2.85/3.24 { ! perp( X, U, U, T ), ! coll( T, Y, Z ), coll( skol16( W, Y, Z ), Y, Z )
% 2.85/3.24 }.
% 2.85/3.24 { ! perp( X, U, U, T ), ! coll( T, Y, Z ), perp( skol16( X, Y, Z ), X, Y, Z
% 2.85/3.24 ) }.
% 2.85/3.24 { ! perp( X, Z, X, Y ), ! perp( Y, X, Y, T ), ! midp( U, Z, T ), midp(
% 2.85/3.24 skol17( X, Y ), X, Y ) }.
% 2.85/3.24 { ! cong( Y, X, Y, Z ), ! perp( X, Y, Y, Z ), coll( X, Y, skol18( X, Y ) )
% 2.85/3.24 }.
% 2.85/3.24 { ! cong( Y, X, Y, Z ), ! perp( X, Y, Y, Z ), cong( Y, X, Y, skol18( X, Y )
% 2.85/3.24 ) }.
% 2.85/3.24 { ! para( U, W, X, Y ), ! coll( Z, U, X ), ! coll( Z, W, Y ), ! coll( T, U
% 2.85/3.24 , W ), coll( Z, T, skol19( V0, V1, Z, T ) ) }.
% 2.85/3.24 { ! para( U, W, X, Y ), ! coll( Z, U, X ), ! coll( Z, W, Y ), ! coll( T, U
% 2.85/3.24 , W ), coll( skol19( X, Y, Z, T ), X, Y ) }.
% 2.85/3.24 { circle( skol22, skol20, skol25, skol26 ) }.
% 2.85/3.24 { midp( skol27, skol26, skol25 ) }.
% 2.85/3.24 { coll( skol23, skol22, skol27 ) }.
% 2.85/3.24 { coll( skol23, skol20, skol25 ) }.
% 2.85/3.24 { perp( skol26, skol22, skol26, skol24 ) }.
% 2.85/3.24 { perp( skol20, skol22, skol20, skol24 ) }.
% 2.85/3.24 { ! cyclic( skol20, skol22, skol24, skol23 ) }.
% 2.85/3.24
% 2.85/3.24 percentage equality = 0.008798, percentage horn = 0.926829
% 2.85/3.24 This is a problem with some equality
% 2.85/3.24
% 2.85/3.24
% 2.85/3.24
% 2.85/3.24 Options Used:
% 2.85/3.24
% 2.85/3.24 useres = 1
% 2.85/3.24 useparamod = 1
% 2.85/3.24 useeqrefl = 1
% 2.85/3.24 useeqfact = 1
% 2.85/3.24 usefactor = 1
% 2.85/3.24 usesimpsplitting = 0
% 2.85/3.24 usesimpdemod = 5
% 2.85/3.24 usesimpres = 3
% 2.85/3.24
% 2.85/3.24 resimpinuse = 1000
% 2.85/3.24 resimpclauses = 20000
% 2.85/3.24 substype = eqrewr
% 2.85/3.24 backwardsubs = 1
% 2.85/3.24 selectoldest = 5
% 2.85/3.24
% 2.85/3.24 litorderings [0] = split
% 2.85/3.24 litorderings [1] = extend the termordering, first sorting on arguments
% 2.85/3.24
% 2.85/3.24 termordering = kbo
% 2.85/3.24
% 2.85/3.24 litapriori = 0
% 2.85/3.24 termapriori = 1
% 2.85/3.24 litaposteriori = 0
% 2.85/3.24 termaposteriori = 0
% 2.85/3.24 demodaposteriori = 0
% 2.85/3.24 ordereqreflfact = 0
% 2.85/3.24
% 2.85/3.24 litselect = negord
% 2.85/3.24
% 2.85/3.24 maxweight = 15
% 2.85/3.24 maxdepth = 30000
% 2.85/3.24 maxlength = 115
% 2.85/3.24 maxnrvars = 195
% 2.85/3.24 excuselevel = 1
% 2.85/3.24 increasemaxweight = 1
% 2.85/3.24
% 2.85/3.24 maxselected = 10000000
% 2.85/3.24 maxnrclauses = 10000000
% 2.85/3.24
% 2.85/3.24 showgenerated = 0
% 2.85/3.24 showkept = 0
% 2.85/3.24 showselected = 0
% 2.85/3.24 showdeleted = 0
% 2.85/3.24 showresimp = 1
% 2.85/3.24 showstatus = 2000
% 2.85/3.24
% 2.85/3.24 prologoutput = 0
% 2.85/3.24 nrgoals = 5000000
% 2.85/3.24 totalproof = 1
% 2.85/3.24
% 2.85/3.24 Symbols occurring in the translation:
% 2.85/3.24
% 2.85/3.24 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 2.85/3.24 . [1, 2] (w:1, o:36, a:1, s:1, b:0),
% 2.85/3.24 ! [4, 1] (w:0, o:31, a:1, s:1, b:0),
% 2.85/3.24 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 2.85/3.24 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 2.85/3.24 coll [38, 3] (w:1, o:64, a:1, s:1, b:0),
% 2.85/3.24 para [40, 4] (w:1, o:72, a:1, s:1, b:0),
% 2.85/3.24 perp [43, 4] (w:1, o:73, a:1, s:1, b:0),
% 2.85/3.24 midp [45, 3] (w:1, o:65, a:1, s:1, b:0),
% 2.85/3.24 cong [47, 4] (w:1, o:74, a:1, s:1, b:0),
% 2.85/3.24 circle [48, 4] (w:1, o:75, a:1, s:1, b:0),
% 2.85/3.24 cyclic [49, 4] (w:1, o:76, a:1, s:1, b:0),
% 2.85/3.24 eqangle [54, 8] (w:1, o:91, a:1, s:1, b:0),
% 2.85/3.24 eqratio [57, 8] (w:1, o:92, a:1, s:1, b:0),
% 2.85/3.24 simtri [59, 6] (w:1, o:88, a:1, s:1, b:0),
% 2.85/3.24 contri [60, 6] (w:1, o:89, a:1, s:1, b:0),
% 2.85/3.24 alpha1 [64, 3] (w:1, o:66, a:1, s:1, b:1),
% 2.85/3.24 alpha2 [65, 4] (w:1, o:77, a:1, s:1, b:1),
% 2.85/3.24 skol1 [66, 4] (w:1, o:78, a:1, s:1, b:1),
% 2.85/3.24 skol2 [67, 4] (w:1, o:80, a:1, s:1, b:1),
% 2.85/3.24 skol3 [68, 4] (w:1, o:82, a:1, s:1, b:1),
% 2.85/3.24 skol4 [69, 4] (w:1, o:83, a:1, s:1, b:1),
% 2.85/3.24 skol5 [70, 4] (w:1, o:84, a:1, s:1, b:1),
% 2.85/3.24 skol6 [71, 6] (w:1, o:90, a:1, s:1, b:1),
% 2.85/3.24 skol7 [72, 2] (w:1, o:60, a:1, s:1, b:1),
% 2.85/3.24 skol8 [73, 4] (w:1, o:85, a:1, s:1, b:1),
% 2.85/3.24 skol9 [74, 4] (w:1, o:86, a:1, s:1, b:1),
% 2.85/3.24 skol10 [75, 3] (w:1, o:67, a:1, s:1, b:1),
% 2.85/3.24 skol11 [76, 3] (w:1, o:68, a:1, s:1, b:1),
% 2.85/3.24 skol12 [77, 2] (w:1, o:61, a:1, s:1, b:1),
% 2.85/3.24 skol13 [78, 5] (w:1, o:87, a:1, s:1, b:1),
% 2.85/3.24 skol14 [79, 3] (w:1, o:69, a:1, s:1, b:1),
% 2.85/3.24 skol15 [80, 3] (w:1, o:70, a:1, s:1, b:1),
% 2.85/3.24 skol16 [81, 3] (w:1, o:71, a:1, s:1, b:1),
% 2.85/3.24 skol17 [82, 2] (w:1, o:62, a:1, s:1, b:1),
% 2.85/3.24 skol18 [83, 2] (w:1, o:63, a:1, s:1, b:1),
% 2.85/3.24 skol19 [84, 4] (w:1, o:79, a:1, s:1, b:1),
% 2.85/3.24 skol20 [85, 0] (w:1, o:24, a:1, s:1, b:1),
% 2.85/3.24 skol21 [86, 4] (w:1, o:81, a:1, s:1, b:1),
% 2.85/3.24 skol22 [87, 0] (w:1, o:25, a:1, s:1, b:1),
% 2.85/3.24 skol23 [88, 0] (w:1, o:26, a:1, s:1, b:1),
% 2.85/3.24 skol24 [89, 0] (w:1, o:27, a:1, s:1, b:1),
% 2.85/3.24 skol25 [90, 0] (w:1, o:28, a:1, s:1, b:1),
% 2.85/3.24 skol26 [91, 0] (w:1, o:29, a:1, s:1, b:1),
% 2.85/3.24 skol27 [92, 0] (w:1, o:30, a:1, s:1, b:1).
% 2.85/3.24
% 2.85/3.24
% 2.85/3.24 Starting Search:
% 2.85/3.24
% 2.85/3.24 *** allocated 15000 integers for clauses
% 2.85/3.24 *** allocated 22500 integers for clauses
% 2.85/3.24 *** allocated 33750 integers for clauses
% 2.85/3.24 *** allocated 50625 integers for clauses
% 2.85/3.24 *** allocated 22500 integers for termspace/termends
% 2.85/3.24 *** allocated 75937 integers for clauses
% 2.85/3.24 Resimplifying inuse:
% 2.85/3.24 Done
% 2.85/3.24
% 2.85/3.24 *** allocated 33750 integers for termspace/termends
% 2.85/3.24 *** allocated 113905 integers for clauses
% 2.85/3.24 *** allocated 50625 integers for termspace/termends
% 2.85/3.24
% 2.85/3.24 Intermediate Status:
% 2.85/3.24 Generated: 11195
% 2.85/3.24 Kept: 2000
% 2.85/3.24 Inuse: 332
% 2.85/3.24 Deleted: 0
% 2.85/3.24 Deletedinuse: 0
% 2.85/3.24
% 2.85/3.24 Resimplifying inuse:
% 2.85/3.24 Done
% 2.85/3.24
% 2.85/3.24 *** allocated 170857 integers for clauses
% 2.85/3.24 *** allocated 75937 integers for termspace/termends
% 2.85/3.24 Resimplifying inuse:
% 2.85/3.24 Done
% 2.85/3.24
% 2.85/3.24 *** allocated 256285 integers for clauses
% 2.85/3.24 *** allocated 113905 integers for termspace/termends
% 2.85/3.24
% 2.85/3.24 Intermediate Status:
% 2.85/3.24 Generated: 24259
% 2.85/3.24 Kept: 4019
% 2.85/3.24 Inuse: 471
% 2.85/3.24 Deleted: 0
% 2.85/3.24 Deletedinuse: 0
% 2.85/3.24
% 2.85/3.24 Resimplifying inuse:
% 2.85/3.24 Done
% 2.85/3.24
% 2.85/3.24 Resimplifying inuse:
% 2.85/3.24 Done
% 2.85/3.24
% 2.85/3.24 *** allocated 384427 integers for clauses
% 2.85/3.24 *** allocated 170857 integers for termspace/termends
% 2.85/3.24
% 2.85/3.24 Intermediate Status:
% 2.85/3.24 Generated: 37218
% 2.85/3.24 Kept: 6150
% 2.85/3.24 Inuse: 546
% 2.85/3.24 Deleted: 0
% 2.85/3.24 Deletedinuse: 0
% 2.85/3.24
% 2.85/3.24 Resimplifying inuse:
% 2.85/3.24 Done
% 2.85/3.24
% 2.85/3.24 Resimplifying inuse:
% 2.85/3.24 Done
% 2.85/3.24
% 2.85/3.24 *** allocated 576640 integers for clauses
% 2.85/3.24
% 2.85/3.24 Intermediate Status:
% 2.85/3.24 Generated: 51778
% 2.85/3.24 Kept: 8152
% 2.85/3.24 Inuse: 711
% 2.85/3.24 Deleted: 99
% 2.85/3.24 Deletedinuse: 0
% 2.85/3.24
% 2.85/3.24 Resimplifying inuse:
% 2.85/3.24 Done
% 2.85/3.24
% 2.85/3.24 *** allocated 256285 integers for termspace/termends
% 2.85/3.24 Resimplifying inuse:
% 2.85/3.24 Done
% 2.85/3.24
% 2.85/3.24
% 2.85/3.24 Intermediate Status:
% 2.85/3.24 Generated: 61294
% 2.85/3.24 Kept: 10153
% 2.85/3.24 Inuse: 883
% 2.85/3.24 Deleted: 749
% 2.85/3.24 Deletedinuse: 498
% 2.85/3.24
% 2.85/3.24 Resimplifying inuse:
% 2.85/3.24 Done
% 2.85/3.24
% 2.85/3.24 Resimplifying inuse:
% 2.85/3.24 Done
% 2.85/3.24
% 2.85/3.24 *** allocated 864960 integers for clauses
% 2.85/3.24
% 2.85/3.24 Intermediate Status:
% 2.85/3.24 Generated: 71050
% 2.85/3.24 Kept: 12156
% 2.85/3.24 Inuse: 1042
% 2.85/3.24 Deleted: 749
% 2.85/3.24 Deletedinuse: 498
% 2.85/3.24
% 2.85/3.24 Resimplifying inuse:
% 2.85/3.24 Done
% 2.85/3.24
% 2.85/3.24 Resimplifying inuse:
% 2.85/3.24 Done
% 2.85/3.24
% 2.85/3.24
% 2.85/3.24 Intermediate Status:
% 2.85/3.24 Generated: 80805
% 2.85/3.24 Kept: 14169
% 2.85/3.24 Inuse: 1224
% 2.85/3.24 Deleted: 755
% 2.85/3.24 Deletedinuse: 498
% 2.85/3.24
% 2.85/3.24 Resimplifying inuse:
% 2.85/3.24 Done
% 2.85/3.24
% 2.85/3.24 *** allocated 384427 integers for termspace/termends
% 2.85/3.24 Resimplifying inuse:
% 2.85/3.24 Done
% 2.85/3.24
% 2.85/3.24
% 2.85/3.24 Intermediate Status:
% 2.85/3.24 Generated: 91407
% 2.85/3.24 Kept: 16172
% 2.85/3.24 Inuse: 1398
% 2.85/3.24 Deleted: 755
% 2.85/3.24 Deletedinuse: 498
% 2.85/3.24
% 2.85/3.24 Resimplifying inuse:
% 2.85/3.24 Done
% 2.85/3.24
% 2.85/3.24 *** allocated 1297440 integers for clauses
% 2.85/3.24 Resimplifying inuse:
% 2.85/3.24 Done
% 2.85/3.24
% 2.85/3.24
% 2.85/3.24 Intermediate Status:
% 2.85/3.24 Generated: 102402
% 2.85/3.24 Kept: 18176
% 2.85/3.24 Inuse: 1553
% 2.85/3.24 Deleted: 757
% 2.85/3.24 Deletedinuse: 498
% 2.85/3.24
% 2.85/3.24 Resimplifying inuse:
% 2.85/3.24 Done
% 2.85/3.24
% 2.85/3.24 Resimplifying inuse:
% 2.85/3.24 Done
% 2.85/3.24
% 2.85/3.24 Resimplifying clauses:
% 2.85/3.24 Done
% 2.85/3.24
% 2.85/3.24
% 2.85/3.24 Bliksems!, er is een bewijs:
% 2.85/3.24 % SZS status Theorem
% 2.85/3.24 % SZS output start Refutation
% 2.85/3.24
% 2.85/3.24 (0) {G0,W8,D2,L2,V3,M2} I { ! coll( X, Y, Z ), coll( X, Z, Y ) }.
% 2.85/3.24 (1) {G0,W8,D2,L2,V3,M2} I { ! coll( X, Y, Z ), coll( Y, X, Z ) }.
% 2.85/3.24 (2) {G0,W12,D2,L3,V4,M3} I { ! coll( X, T, Y ), ! coll( X, T, Z ), coll( Y
% 2.85/3.24 , Z, X ) }.
% 2.85/3.24 (4) {G0,W10,D2,L2,V4,M2} I { ! para( X, Y, Z, T ), para( Z, T, X, Y ) }.
% 2.85/3.24 (5) {G0,W15,D2,L3,V6,M3} I { ! para( X, Y, U, W ), ! para( U, W, Z, T ),
% 2.85/3.24 para( X, Y, Z, T ) }.
% 2.85/3.24 (10) {G0,W8,D2,L2,V3,M2} I { ! midp( Z, Y, X ), midp( Z, X, Y ) }.
% 2.85/3.24 (13) {G0,W10,D2,L2,V4,M2} I { ! cyclic( X, Y, Z, T ), cyclic( X, Y, T, Z )
% 2.85/3.24 }.
% 2.85/3.24 (14) {G0,W10,D2,L2,V4,M2} I { ! cyclic( X, Y, Z, T ), cyclic( X, Z, Y, T )
% 2.85/3.24 }.
% 2.85/3.24 (15) {G0,W10,D2,L2,V4,M2} I { ! cyclic( X, Y, Z, T ), cyclic( Y, X, Z, T )
% 2.85/3.24 }.
% 2.85/3.24 (16) {G0,W15,D2,L3,V5,M3} I { ! cyclic( U, X, Y, Z ), ! cyclic( U, X, Y, T
% 2.85/3.24 ), cyclic( X, Y, Z, T ) }.
% 2.85/3.24 (17) {G0,W18,D2,L2,V8,M2} I { ! eqangle( X, Y, Z, T, U, W, V0, V1 ),
% 2.85/3.24 eqangle( Y, X, Z, T, U, W, V0, V1 ) }.
% 2.85/3.24 (19) {G0,W18,D2,L2,V8,M2} I { ! eqangle( X, Y, Z, T, U, W, V0, V1 ),
% 2.85/3.24 eqangle( U, W, V0, V1, X, Y, Z, T ) }.
% 2.85/3.24 (20) {G0,W18,D2,L2,V8,M2} I { ! eqangle( X, Y, Z, T, U, W, V0, V1 ),
% 2.85/3.24 eqangle( X, Y, U, W, Z, T, V0, V1 ) }.
% 2.85/3.24 (39) {G0,W14,D2,L2,V6,M2} I { ! para( X, Y, Z, T ), eqangle( X, Y, U, W, Z
% 2.85/3.24 , T, U, W ) }.
% 2.85/3.24 (42) {G0,W18,D2,L3,V4,M3} I { ! eqangle( Z, X, Z, Y, T, X, T, Y ), ! coll(
% 2.85/3.24 Z, T, Y ), cyclic( X, Y, Z, T ) }.
% 2.85/3.24 (63) {G0,W13,D2,L3,V5,M3} I { ! midp( U, X, Y ), ! midp( U, Z, T ), para( X
% 2.85/3.24 , Z, Y, T ) }.
% 2.85/3.24 (69) {G0,W8,D2,L2,V3,M2} I { ! midp( X, Y, Z ), coll( X, Y, Z ) }.
% 2.85/3.24 (72) {G0,W19,D2,L3,V8,M3} I { ! eqangle( X, Y, Z, T, U, W, V0, V1 ), ! para
% 2.85/3.24 ( U, W, V0, V1 ), para( X, Y, Z, T ) }.
% 2.85/3.24 (88) {G0,W22,D3,L5,V7,M5} I { ! midp( Z, X, Y ), ! midp( W, T, U ), ! coll
% 2.85/3.24 ( T, X, Y ), ! coll( U, X, Y ), midp( skol7( X, V0 ), X, V0 ) }.
% 2.85/3.24 (117) {G0,W4,D2,L1,V0,M1} I { midp( skol27, skol26, skol25 ) }.
% 2.85/3.24 (122) {G0,W5,D2,L1,V0,M1} I { ! cyclic( skol20, skol22, skol24, skol23 )
% 2.85/3.24 }.
% 2.85/3.24 (138) {G1,W9,D2,L2,V3,M2} F(63) { ! midp( X, Y, Z ), para( Y, Y, Z, Z ) }.
% 2.85/3.24 (145) {G1,W18,D3,L4,V4,M4} F(88) { ! midp( X, Y, Z ), ! coll( Y, Y, Z ), !
% 2.85/3.24 coll( Z, Y, Z ), midp( skol7( Y, T ), Y, T ) }.
% 2.85/3.24 (164) {G1,W8,D2,L2,V3,M2} R(1,0) { coll( X, Y, Z ), ! coll( Y, Z, X ) }.
% 2.85/3.24 (165) {G1,W8,D2,L2,V3,M2} R(1,0) { ! coll( X, Y, Z ), coll( Y, Z, X ) }.
% 2.85/3.24 (189) {G1,W12,D2,L3,V4,M3} R(2,0) { ! coll( X, Y, Z ), ! coll( X, Y, T ),
% 2.85/3.24 coll( Z, X, T ) }.
% 2.85/3.24 (194) {G2,W8,D2,L2,V3,M2} F(189) { ! coll( X, Y, Z ), coll( Z, X, Z ) }.
% 2.85/3.24 (211) {G3,W12,D2,L3,V4,M3} R(194,2) { coll( X, Y, X ), ! coll( X, Z, Y ), !
% 2.85/3.24 coll( X, Z, T ) }.
% 2.85/3.24 (217) {G3,W8,D2,L2,V3,M2} R(194,1) { coll( X, Y, X ), ! coll( Z, Y, X ) }.
% 2.85/3.24 (224) {G4,W8,D2,L2,V3,M2} F(211) { coll( X, Y, X ), ! coll( X, Z, Y ) }.
% 2.85/3.24 (240) {G1,W15,D2,L3,V6,M3} R(5,4) { ! para( X, Y, Z, T ), para( U, W, Z, T
% 2.85/3.24 ), ! para( X, Y, U, W ) }.
% 2.85/3.24 (241) {G1,W15,D2,L3,V6,M3} R(5,4) { ! para( X, Y, Z, T ), para( X, Y, U, W
% 2.85/3.24 ), ! para( U, W, Z, T ) }.
% 2.85/3.24 (245) {G2,W10,D2,L2,V4,M2} F(241) { ! para( X, Y, Z, T ), para( X, Y, X, Y
% 2.85/3.24 ) }.
% 2.85/3.24 (246) {G2,W10,D2,L2,V4,M2} F(240) { ! para( X, Y, Z, T ), para( Z, T, Z, T
% 2.85/3.24 ) }.
% 2.85/3.24 (316) {G1,W4,D2,L1,V0,M1} R(10,117) { midp( skol27, skol25, skol26 ) }.
% 2.85/3.24 (339) {G1,W5,D2,L1,V0,M1} R(13,122) { ! cyclic( skol20, skol22, skol23,
% 2.85/3.24 skol24 ) }.
% 2.85/3.24 (348) {G1,W10,D2,L2,V4,M2} R(14,13) { ! cyclic( X, Y, Z, T ), cyclic( X, Z
% 2.85/3.24 , T, Y ) }.
% 2.85/3.24 (357) {G1,W10,D2,L2,V4,M2} R(15,14) { ! cyclic( X, Y, Z, T ), cyclic( Y, Z
% 2.85/3.24 , X, T ) }.
% 2.85/3.24 (358) {G2,W5,D2,L1,V0,M1} R(15,339) { ! cyclic( skol22, skol20, skol23,
% 2.85/3.24 skol24 ) }.
% 2.85/3.24 (388) {G1,W15,D2,L3,V5,M3} R(16,13) { ! cyclic( X, Y, Z, T ), cyclic( Y, Z
% 2.85/3.24 , T, U ), ! cyclic( X, Y, U, Z ) }.
% 2.85/3.24 (412) {G1,W18,D2,L2,V8,M2} R(19,17) { ! eqangle( X, Y, Z, T, U, W, V0, V1 )
% 2.85/3.24 , eqangle( W, U, V0, V1, X, Y, Z, T ) }.
% 2.85/3.24 (413) {G3,W10,D2,L2,V1,M2} R(358,16) { ! cyclic( X, skol22, skol20, skol23
% 2.85/3.24 ), ! cyclic( X, skol22, skol20, skol24 ) }.
% 2.85/3.24 (424) {G1,W18,D2,L2,V8,M2} R(20,17) { eqangle( X, Y, Z, T, U, W, V0, V1 ),
% 2.85/3.24 ! eqangle( Y, X, U, W, Z, T, V0, V1 ) }.
% 2.85/3.24 (503) {G5,W8,D2,L2,V3,M2} R(224,1) { ! coll( X, Y, Z ), coll( Z, X, X ) }.
% 2.85/3.24 (523) {G6,W8,D2,L2,V3,M2} R(503,1) { coll( X, Y, Y ), ! coll( Z, Y, X ) }.
% 2.85/3.24 (524) {G6,W8,D2,L2,V3,M2} R(503,0) { coll( X, Y, Y ), ! coll( Y, X, Z ) }.
% 2.85/3.24 (525) {G7,W8,D2,L2,V3,M2} R(523,503) { ! coll( X, Y, Z ), coll( Y, Z, Z )
% 2.85/3.24 }.
% 2.85/3.24 (528) {G7,W8,D2,L2,V3,M2} R(524,524) { ! coll( X, Y, Z ), coll( X, Y, Y )
% 2.85/3.24 }.
% 2.85/3.24 (531) {G8,W12,D2,L3,V4,M3} R(528,2) { ! coll( X, Y, Z ), ! coll( X, Y, T )
% 2.85/3.24 , coll( T, Y, X ) }.
% 2.85/3.24 (532) {G9,W8,D2,L2,V3,M2} F(531) { ! coll( X, Y, Z ), coll( Z, Y, X ) }.
% 2.85/3.24 (535) {G10,W8,D2,L2,V3,M2} R(532,525) { coll( X, X, Y ), ! coll( Z, Y, X )
% 2.85/3.24 }.
% 2.85/3.24 (536) {G10,W8,D2,L2,V3,M2} R(532,523) { coll( X, X, Y ), ! coll( Z, X, Y )
% 2.85/3.24 }.
% 2.85/3.24 (565) {G2,W8,D2,L2,V3,M2} R(69,164) { ! midp( X, Y, Z ), coll( Z, X, Y )
% 2.85/3.24 }.
% 2.85/3.24 (572) {G11,W8,D2,L2,V3,M2} R(69,536) { ! midp( X, Y, Z ), coll( Y, Y, Z )
% 2.85/3.24 }.
% 2.85/3.24 (586) {G2,W4,D2,L1,V0,M1} R(69,316) { coll( skol27, skol25, skol26 ) }.
% 2.85/3.24 (591) {G1,W8,D2,L2,V3,M2} R(69,1) { ! midp( X, Y, Z ), coll( Y, X, Z ) }.
% 2.85/3.24 (592) {G1,W4,D2,L1,V0,M1} R(69,117) { coll( skol27, skol26, skol25 ) }.
% 2.85/3.24 (597) {G4,W4,D2,L1,V0,M1} R(586,217) { coll( skol26, skol25, skol26 ) }.
% 2.85/3.24 (602) {G11,W4,D2,L1,V0,M1} R(586,535) { coll( skol26, skol26, skol25 ) }.
% 2.85/3.24 (670) {G2,W8,D2,L2,V1,M2} R(592,2) { ! coll( skol27, skol26, X ), coll(
% 2.85/3.24 skol25, X, skol27 ) }.
% 2.85/3.24 (791) {G3,W8,D2,L2,V1,M2} R(670,165) { coll( skol25, X, skol27 ), ! coll( X
% 2.85/3.24 , skol27, skol26 ) }.
% 2.85/3.24 (810) {G1,W14,D2,L3,V3,M3} R(42,39) { ! coll( X, X, Y ), cyclic( Z, Y, X, X
% 2.85/3.24 ), ! para( X, Z, X, Z ) }.
% 2.85/3.24 (1763) {G4,W8,D2,L2,V1,M2} R(791,165) { ! coll( X, skol27, skol26 ), coll(
% 2.85/3.24 X, skol27, skol25 ) }.
% 2.85/3.24 (1781) {G5,W12,D2,L3,V2,M3} R(1763,2) { ! coll( X, skol27, skol26 ), ! coll
% 2.85/3.24 ( X, skol27, Y ), coll( skol25, Y, X ) }.
% 2.85/3.24 (1786) {G6,W8,D2,L2,V1,M2} F(1781) { ! coll( X, skol27, skol26 ), coll(
% 2.85/3.24 skol25, skol26, X ) }.
% 2.85/3.24 (2686) {G7,W8,D2,L2,V1,M2} R(1786,591) { coll( skol25, skol26, X ), ! midp
% 2.85/3.24 ( skol27, X, skol26 ) }.
% 2.85/3.24 (2689) {G7,W8,D2,L2,V1,M2} R(1786,565) { coll( skol25, skol26, X ), ! midp
% 2.85/3.24 ( skol27, skol26, X ) }.
% 2.85/3.24 (2712) {G8,W8,D2,L2,V1,M2} R(2686,0) { ! midp( skol27, X, skol26 ), coll(
% 2.85/3.24 skol25, X, skol26 ) }.
% 2.85/3.24 (7768) {G12,W14,D3,L3,V2,M3} R(145,2689);r(602) { ! midp( X, skol26, skol25
% 2.85/3.24 ), midp( skol7( skol26, Y ), skol26, Y ), ! midp( skol27, skol26, skol25
% 2.85/3.24 ) }.
% 2.85/3.24 (7779) {G9,W14,D3,L3,V2,M3} R(145,2712);r(597) { ! midp( X, skol25, skol26
% 2.85/3.24 ), midp( skol7( skol25, Y ), skol25, Y ), ! midp( skol27, skol25, skol26
% 2.85/3.24 ) }.
% 2.85/3.24 (7865) {G10,W6,D3,L1,V1,M1} F(7779);r(316) { midp( skol7( skol25, X ),
% 2.85/3.24 skol25, X ) }.
% 2.85/3.24 (7866) {G13,W6,D3,L1,V1,M1} F(7768);r(117) { midp( skol7( skol26, X ),
% 2.85/3.24 skol26, X ) }.
% 2.85/3.24 (7914) {G14,W4,D2,L1,V1,M1} R(7866,572) { coll( skol26, skol26, X ) }.
% 2.85/3.24 (7973) {G15,W4,D2,L1,V2,M1} R(7914,2);r(7914) { coll( Y, X, skol26 ) }.
% 2.85/3.24 (7998) {G16,W4,D2,L1,V2,M1} R(7973,165) { coll( X, skol26, Y ) }.
% 2.85/3.24 (8011) {G17,W4,D2,L1,V3,M1} R(7998,2);r(7998) { coll( Z, Y, X ) }.
% 2.85/3.24 (8071) {G11,W5,D2,L1,V1,M1} R(7865,138) { para( skol25, skol25, X, X ) }.
% 2.85/3.24 (8091) {G12,W5,D2,L1,V1,M1} R(8071,4) { para( X, X, skol25, skol25 ) }.
% 2.85/3.24 (8395) {G13,W5,D2,L1,V1,M1} R(245,8091) { para( X, X, X, X ) }.
% 2.85/3.24 (8402) {G14,W9,D2,L1,V3,M1} R(8395,39) { eqangle( X, X, Y, Z, X, X, Y, Z )
% 2.85/3.24 }.
% 2.85/3.24 (19879) {G15,W9,D2,L1,V3,M1} R(8402,424) { eqangle( X, X, X, X, Y, Z, Y, Z
% 2.85/3.24 ) }.
% 2.85/3.24 (19884) {G16,W9,D2,L1,V3,M1} R(19879,412) { eqangle( X, Y, Y, X, Z, Z, Z, Z
% 2.85/3.24 ) }.
% 2.85/3.24 (19891) {G17,W5,D2,L1,V2,M1} R(19884,72);r(8395) { para( Y, Z, Z, Y ) }.
% 2.85/3.24 (19892) {G18,W5,D2,L1,V2,M1} R(19891,246) { para( X, Y, X, Y ) }.
% 2.85/3.24 (20095) {G19,W5,D2,L1,V3,M1} S(810);r(8011);r(19892) { cyclic( Z, Y, X, X )
% 2.85/3.24 }.
% 2.85/3.24 (20137) {G20,W5,D2,L1,V3,M1} R(20095,357) { cyclic( X, Y, Z, Y ) }.
% 2.85/3.24 (20139) {G20,W5,D2,L1,V3,M1} R(20095,348) { cyclic( X, Y, Y, Z ) }.
% 2.85/3.24 (20144) {G21,W5,D2,L1,V3,M1} R(20137,388);r(20139) { cyclic( Y, Y, Z, T )
% 2.85/3.24 }.
% 2.85/3.24 (20152) {G22,W0,D0,L0,V0,M0} R(20144,413);r(20144) { }.
% 2.85/3.24
% 2.85/3.24
% 2.85/3.24 % SZS output end Refutation
% 2.85/3.24 found a proof!
% 2.85/3.24
% 2.85/3.24
% 2.85/3.24 Unprocessed initial clauses:
% 2.85/3.24
% 2.85/3.24 (20154) {G0,W8,D2,L2,V3,M2} { ! coll( X, Y, Z ), coll( X, Z, Y ) }.
% 2.85/3.24 (20155) {G0,W8,D2,L2,V3,M2} { ! coll( X, Y, Z ), coll( Y, X, Z ) }.
% 2.85/3.24 (20156) {G0,W12,D2,L3,V4,M3} { ! coll( X, T, Y ), ! coll( X, T, Z ), coll
% 2.85/3.24 ( Y, Z, X ) }.
% 2.85/3.24 (20157) {G0,W10,D2,L2,V4,M2} { ! para( X, Y, Z, T ), para( X, Y, T, Z )
% 2.85/3.24 }.
% 2.85/3.24 (20158) {G0,W10,D2,L2,V4,M2} { ! para( X, Y, Z, T ), para( Z, T, X, Y )
% 2.85/3.24 }.
% 2.85/3.24 (20159) {G0,W15,D2,L3,V6,M3} { ! para( X, Y, U, W ), ! para( U, W, Z, T )
% 2.85/3.24 , para( X, Y, Z, T ) }.
% 2.85/3.24 (20160) {G0,W10,D2,L2,V4,M2} { ! perp( X, Y, Z, T ), perp( X, Y, T, Z )
% 2.85/3.24 }.
% 2.85/3.24 (20161) {G0,W10,D2,L2,V4,M2} { ! perp( X, Y, Z, T ), perp( Z, T, X, Y )
% 2.85/3.24 }.
% 2.85/3.24 (20162) {G0,W15,D2,L3,V6,M3} { ! perp( X, Y, U, W ), ! perp( U, W, Z, T )
% 2.85/3.24 , para( X, Y, Z, T ) }.
% 2.85/3.24 (20163) {G0,W15,D2,L3,V6,M3} { ! para( X, Y, U, W ), ! perp( U, W, Z, T )
% 2.85/3.24 , perp( X, Y, Z, T ) }.
% 2.85/3.24 (20164) {G0,W8,D2,L2,V3,M2} { ! midp( Z, Y, X ), midp( Z, X, Y ) }.
% 2.85/3.24 (20165) {G0,W15,D2,L3,V4,M3} { ! cong( T, X, T, Y ), ! cong( T, X, T, Z )
% 2.85/3.24 , circle( T, X, Y, Z ) }.
% 2.85/3.24 (20166) {G0,W20,D2,L4,V5,M4} { ! cong( U, X, U, Y ), ! cong( U, X, U, Z )
% 2.85/3.24 , ! cong( U, X, U, T ), cyclic( X, Y, Z, T ) }.
% 2.85/3.24 (20167) {G0,W10,D2,L2,V4,M2} { ! cyclic( X, Y, Z, T ), cyclic( X, Y, T, Z
% 2.85/3.24 ) }.
% 2.85/3.24 (20168) {G0,W10,D2,L2,V4,M2} { ! cyclic( X, Y, Z, T ), cyclic( X, Z, Y, T
% 2.85/3.24 ) }.
% 2.85/3.24 (20169) {G0,W10,D2,L2,V4,M2} { ! cyclic( X, Y, Z, T ), cyclic( Y, X, Z, T
% 2.85/3.24 ) }.
% 2.85/3.24 (20170) {G0,W15,D2,L3,V5,M3} { ! cyclic( U, X, Y, Z ), ! cyclic( U, X, Y,
% 2.85/3.24 T ), cyclic( X, Y, Z, T ) }.
% 2.85/3.24 (20171) {G0,W18,D2,L2,V8,M2} { ! eqangle( X, Y, Z, T, U, W, V0, V1 ),
% 2.85/3.24 eqangle( Y, X, Z, T, U, W, V0, V1 ) }.
% 2.85/3.24 (20172) {G0,W18,D2,L2,V8,M2} { ! eqangle( X, Y, Z, T, U, W, V0, V1 ),
% 2.85/3.24 eqangle( Z, T, X, Y, V0, V1, U, W ) }.
% 2.85/3.24 (20173) {G0,W18,D2,L2,V8,M2} { ! eqangle( X, Y, Z, T, U, W, V0, V1 ),
% 2.85/3.24 eqangle( U, W, V0, V1, X, Y, Z, T ) }.
% 2.85/3.24 (20174) {G0,W18,D2,L2,V8,M2} { ! eqangle( X, Y, Z, T, U, W, V0, V1 ),
% 2.85/3.24 eqangle( X, Y, U, W, Z, T, V0, V1 ) }.
% 2.85/3.24 (20175) {G0,W27,D2,L3,V12,M3} { ! eqangle( X, Y, Z, T, V2, V3, V4, V5 ), !
% 2.85/3.24 eqangle( V2, V3, V4, V5, U, W, V0, V1 ), eqangle( X, Y, Z, T, U, W, V0,
% 2.85/3.24 V1 ) }.
% 2.85/3.24 (20176) {G0,W10,D2,L2,V4,M2} { ! cong( X, Y, Z, T ), cong( X, Y, T, Z )
% 2.85/3.24 }.
% 2.85/3.24 (20177) {G0,W10,D2,L2,V4,M2} { ! cong( X, Y, Z, T ), cong( Z, T, X, Y )
% 2.85/3.24 }.
% 2.85/3.24 (20178) {G0,W15,D2,L3,V6,M3} { ! cong( X, Y, U, W ), ! cong( U, W, Z, T )
% 2.85/3.24 , cong( X, Y, Z, T ) }.
% 2.85/3.24 (20179) {G0,W18,D2,L2,V8,M2} { ! eqratio( X, Y, Z, T, U, W, V0, V1 ),
% 2.85/3.24 eqratio( Y, X, Z, T, U, W, V0, V1 ) }.
% 2.85/3.24 (20180) {G0,W18,D2,L2,V8,M2} { ! eqratio( X, Y, Z, T, U, W, V0, V1 ),
% 2.85/3.24 eqratio( Z, T, X, Y, V0, V1, U, W ) }.
% 2.85/3.24 (20181) {G0,W18,D2,L2,V8,M2} { ! eqratio( X, Y, Z, T, U, W, V0, V1 ),
% 2.85/3.24 eqratio( U, W, V0, V1, X, Y, Z, T ) }.
% 2.85/3.24 (20182) {G0,W18,D2,L2,V8,M2} { ! eqratio( X, Y, Z, T, U, W, V0, V1 ),
% 2.85/3.24 eqratio( X, Y, U, W, Z, T, V0, V1 ) }.
% 2.85/3.24 (20183) {G0,W27,D2,L3,V12,M3} { ! eqratio( X, Y, Z, T, V2, V3, V4, V5 ), !
% 2.85/3.24 eqratio( V2, V3, V4, V5, U, W, V0, V1 ), eqratio( X, Y, Z, T, U, W, V0,
% 2.85/3.24 V1 ) }.
% 2.85/3.24 (20184) {G0,W14,D2,L2,V6,M2} { ! simtri( X, Z, Y, T, W, U ), simtri( X, Y
% 2.85/3.24 , Z, T, U, W ) }.
% 2.85/3.24 (20185) {G0,W14,D2,L2,V6,M2} { ! simtri( Y, X, Z, U, T, W ), simtri( X, Y
% 2.85/3.24 , Z, T, U, W ) }.
% 2.85/3.24 (20186) {G0,W14,D2,L2,V6,M2} { ! simtri( T, U, W, X, Y, Z ), simtri( X, Y
% 2.85/3.24 , Z, T, U, W ) }.
% 2.85/3.24 (20187) {G0,W21,D2,L3,V9,M3} { ! simtri( X, Y, Z, V0, V1, V2 ), ! simtri(
% 2.85/3.24 V0, V1, V2, T, U, W ), simtri( X, Y, Z, T, U, W ) }.
% 2.85/3.24 (20188) {G0,W14,D2,L2,V6,M2} { ! contri( X, Z, Y, T, W, U ), contri( X, Y
% 2.85/3.24 , Z, T, U, W ) }.
% 2.85/3.24 (20189) {G0,W14,D2,L2,V6,M2} { ! contri( Y, X, Z, U, T, W ), contri( X, Y
% 2.85/3.24 , Z, T, U, W ) }.
% 2.85/3.24 (20190) {G0,W14,D2,L2,V6,M2} { ! contri( T, U, W, X, Y, Z ), contri( X, Y
% 2.85/3.24 , Z, T, U, W ) }.
% 2.85/3.24 (20191) {G0,W21,D2,L3,V9,M3} { ! contri( X, Y, Z, V0, V1, V2 ), ! contri(
% 2.85/3.24 V0, V1, V2, T, U, W ), contri( X, Y, Z, T, U, W ) }.
% 2.85/3.24 (20192) {G0,W14,D2,L2,V6,M2} { ! eqangle( X, Y, U, W, Z, T, U, W ), para(
% 2.85/3.24 X, Y, Z, T ) }.
% 2.85/3.24 (20193) {G0,W14,D2,L2,V6,M2} { ! para( X, Y, Z, T ), eqangle( X, Y, U, W,
% 2.85/3.24 Z, T, U, W ) }.
% 2.85/3.24 (20194) {G0,W14,D2,L2,V4,M2} { ! cyclic( X, Y, Z, T ), eqangle( Z, X, Z, Y
% 2.85/3.24 , T, X, T, Y ) }.
% 2.85/3.24 (20195) {G0,W18,D2,L3,V4,M3} { ! eqangle( Z, X, Z, Y, T, X, T, Y ), coll(
% 2.85/3.24 Z, T, X ), cyclic( X, Y, Z, T ) }.
% 2.85/3.24 (20196) {G0,W18,D2,L3,V4,M3} { ! eqangle( Z, X, Z, Y, T, X, T, Y ), ! coll
% 2.85/3.24 ( Z, T, Y ), cyclic( X, Y, Z, T ) }.
% 2.85/3.24 (20197) {G0,W29,D2,L5,V6,M5} { ! cyclic( X, Y, U, Z ), ! cyclic( X, Y, U,
% 2.85/3.24 T ), ! cyclic( X, Y, U, W ), ! eqangle( U, X, U, Y, W, Z, W, T ), cong( X
% 2.85/3.24 , Y, Z, T ) }.
% 2.85/3.24 (20198) {G0,W13,D2,L3,V5,M3} { ! midp( Z, U, X ), ! midp( T, U, Y ), para
% 2.85/3.24 ( Z, T, X, Y ) }.
% 2.85/3.24 (20199) {G0,W17,D2,L4,V5,M4} { ! midp( U, X, T ), ! para( U, Z, T, Y ), !
% 2.85/3.24 coll( Z, X, Y ), midp( Z, X, Y ) }.
% 2.85/3.24 (20200) {G0,W14,D2,L2,V3,M2} { ! cong( Z, X, Z, Y ), eqangle( Z, X, X, Y,
% 2.85/3.24 X, Y, Z, Y ) }.
% 2.85/3.24 (20201) {G0,W18,D2,L3,V3,M3} { ! eqangle( Z, X, X, Y, X, Y, Z, Y ), coll(
% 2.85/3.24 Z, X, Y ), cong( Z, X, Z, Y ) }.
% 2.85/3.24 (20202) {G0,W19,D2,L3,V5,M3} { ! circle( U, X, Y, Z ), ! perp( U, X, X, T
% 2.85/3.24 ), eqangle( X, T, X, Y, Z, X, Z, Y ) }.
% 2.85/3.24 (20203) {G0,W19,D2,L3,V5,M3} { ! circle( Y, X, T, U ), ! eqangle( X, Z, X
% 2.85/3.24 , T, U, X, U, T ), perp( Y, X, X, Z ) }.
% 2.85/3.24 (20204) {G0,W18,D2,L3,V5,M3} { ! circle( T, X, Y, Z ), ! midp( U, Y, Z ),
% 2.85/3.24 eqangle( X, Y, X, Z, T, Y, T, U ) }.
% 2.85/3.24 (20205) {G0,W22,D2,L4,V5,M4} { ! circle( U, T, X, Y ), ! coll( Z, X, Y ),
% 2.85/3.24 ! eqangle( T, X, T, Y, U, X, U, Z ), midp( Z, X, Y ) }.
% 2.85/3.24 (20206) {G0,W14,D2,L3,V4,M3} { ! perp( X, Y, Y, T ), ! midp( Z, X, T ),
% 2.85/3.24 cong( X, Z, Y, Z ) }.
% 2.85/3.24 (20207) {G0,W14,D2,L3,V4,M3} { ! circle( T, X, Y, Z ), ! coll( T, X, Z ),
% 2.85/3.24 perp( X, Y, Y, Z ) }.
% 2.85/3.24 (20208) {G0,W19,D2,L3,V4,M3} { ! cyclic( X, Y, Z, T ), ! para( X, Y, Z, T
% 2.85/3.24 ), eqangle( X, T, Z, T, Z, T, Z, Y ) }.
% 2.85/3.24 (20209) {G0,W14,D2,L3,V4,M3} { ! midp( T, X, Y ), ! perp( Z, T, X, Y ),
% 2.85/3.24 cong( Z, X, Z, Y ) }.
% 2.85/3.24 (20210) {G0,W15,D2,L3,V4,M3} { ! cong( X, Z, Y, Z ), ! cong( X, T, Y, T )
% 2.85/3.24 , perp( X, Y, Z, T ) }.
% 2.85/3.24 (20211) {G0,W20,D2,L4,V4,M4} { ! cong( X, Y, T, Y ), ! cong( X, Z, T, Z )
% 2.85/3.24 , ! cyclic( X, T, Y, Z ), perp( Y, X, X, Z ) }.
% 2.85/3.24 (20212) {G0,W29,D2,L4,V6,M4} { ! eqangle( X, Y, Y, Z, T, U, U, W ), !
% 2.85/3.24 eqangle( X, Z, Y, Z, T, W, U, W ), coll( X, Y, Z ), simtri( X, Y, Z, T, U
% 2.85/3.24 , W ) }.
% 2.85/3.24 (20213) {G0,W16,D2,L2,V6,M2} { ! simtri( X, Y, Z, T, U, W ), eqratio( X, Y
% 2.85/3.24 , X, Z, T, U, T, W ) }.
% 2.85/3.24 (20214) {G0,W16,D2,L2,V6,M2} { ! simtri( X, Y, Z, T, U, W ), eqangle( X, Y
% 2.85/3.24 , Y, Z, T, U, U, W ) }.
% 2.85/3.24 (20215) {G0,W19,D2,L3,V6,M3} { ! simtri( X, Y, Z, T, U, W ), ! cong( X, Y
% 2.85/3.24 , T, U ), contri( X, Y, Z, T, U, W ) }.
% 2.85/3.24 (20216) {G0,W12,D2,L2,V6,M2} { ! contri( X, Y, U, Z, T, W ), cong( X, Y, Z
% 2.85/3.24 , T ) }.
% 2.85/3.24 (20217) {G0,W13,D2,L3,V5,M3} { ! midp( U, X, Y ), ! midp( U, Z, T ), para
% 2.85/3.24 ( X, Z, Y, T ) }.
% 2.85/3.24 (20218) {G0,W18,D2,L4,V5,M4} { ! midp( Z, T, U ), ! para( T, X, U, Y ), !
% 2.85/3.24 para( T, Y, U, X ), midp( Z, X, Y ) }.
% 2.85/3.24 (20219) {G0,W22,D2,L4,V5,M4} { ! para( X, Y, Z, T ), ! coll( U, X, Z ), !
% 2.85/3.24 coll( U, Y, T ), eqratio( U, X, X, Z, U, Y, Y, T ) }.
% 2.85/3.24 (20220) {G0,W9,D2,L2,V3,M2} { ! para( X, Y, X, Z ), coll( X, Y, Z ) }.
% 2.85/3.24 (20221) {G0,W13,D2,L3,V3,M3} { ! cong( X, Y, X, Z ), ! coll( X, Y, Z ),
% 2.85/3.24 midp( X, Y, Z ) }.
% 2.85/3.24 (20222) {G0,W9,D2,L2,V3,M2} { ! midp( X, Y, Z ), cong( X, Y, X, Z ) }.
% 2.85/3.24 (20223) {G0,W8,D2,L2,V3,M2} { ! midp( X, Y, Z ), coll( X, Y, Z ) }.
% 2.85/3.24 (20224) {G0,W17,D2,L3,V6,M3} { ! midp( U, X, Y ), ! midp( W, Z, T ),
% 2.85/3.24 eqratio( U, X, X, Y, W, Z, Z, T ) }.
% 2.85/3.24 (20225) {G0,W19,D2,L3,V4,M3} { ! eqangle( X, Y, Z, T, Z, T, X, Y ), para(
% 2.85/3.24 X, Y, Z, T ), perp( X, Y, Z, T ) }.
% 2.85/3.24 (20226) {G0,W19,D2,L3,V4,M3} { ! eqangle( X, Y, Z, T, Z, T, X, Y ), perp(
% 2.85/3.24 X, Y, Z, T ), para( X, Y, Z, T ) }.
% 2.85/3.24 (20227) {G0,W19,D2,L3,V8,M3} { ! eqangle( X, Y, Z, T, U, W, V0, V1 ), !
% 2.85/3.24 para( U, W, V0, V1 ), para( X, Y, Z, T ) }.
% 2.85/3.24 (20228) {G0,W19,D2,L3,V8,M3} { ! eqangle( X, Y, Z, T, U, W, V0, V1 ), !
% 2.85/3.24 perp( U, W, V0, V1 ), perp( X, Y, Z, T ) }.
% 2.85/3.24 (20229) {G0,W19,D2,L3,V8,M3} { ! eqratio( X, Y, Z, T, U, W, V0, V1 ), !
% 2.85/3.24 cong( U, W, V0, V1 ), cong( X, Y, Z, T ) }.
% 2.85/3.24 (20230) {G0,W22,D3,L3,V6,M3} { ! perp( Z, Y, Y, X ), ! eqangle( T, Z, Y, Z
% 2.85/3.24 , Y, Z, X, Z ), coll( skol1( U, W, Z, T ), Z, T ) }.
% 2.85/3.24 (20231) {G0,W22,D3,L3,V4,M3} { ! perp( Z, Y, Y, X ), ! eqangle( T, Z, Y, Z
% 2.85/3.24 , Y, Z, X, Z ), coll( skol1( X, Y, Z, T ), X, Y ) }.
% 2.85/3.24 (20232) {G0,W22,D3,L3,V6,M3} { ! cong( Z, X, Z, Y ), ! eqangle( X, Z, Z, T
% 2.85/3.24 , Z, T, Z, Y ), coll( skol2( U, W, Z, T ), Z, T ) }.
% 2.85/3.24 (20233) {G0,W22,D3,L3,V4,M3} { ! cong( Z, X, Z, Y ), ! eqangle( X, Z, Z, T
% 2.85/3.24 , Z, T, Z, Y ), coll( Y, X, skol2( X, Y, Z, T ) ) }.
% 2.85/3.24 (20234) {G0,W22,D3,L3,V6,M3} { ! perp( Z, T, X, Y ), ! eqangle( X, Z, Z, T
% 2.85/3.24 , Z, T, Z, Y ), coll( skol3( U, W, Z, T ), Z, T ) }.
% 2.85/3.24 (20235) {G0,W22,D3,L3,V4,M3} { ! perp( Z, T, X, Y ), ! eqangle( X, Z, Z, T
% 2.85/3.24 , Z, T, Z, Y ), coll( Y, X, skol3( X, Y, Z, T ) ) }.
% 2.85/3.24 (20236) {G0,W18,D3,L3,V6,M3} { ! perp( Z, T, X, Y ), ! cong( Z, X, Z, Y )
% 2.85/3.24 , coll( skol4( U, W, Z, T ), Z, T ) }.
% 2.85/3.24 (20237) {G0,W18,D3,L3,V4,M3} { ! perp( Z, T, X, Y ), ! cong( Z, X, Z, Y )
% 2.85/3.24 , coll( Y, X, skol4( X, Y, Z, T ) ) }.
% 2.85/3.24 (20238) {G0,W22,D3,L3,V6,M3} { ! eqangle( X, Z, Y, Z, X, T, Y, U ), coll(
% 2.85/3.24 X, Y, Z ), cyclic( T, Y, Z, skol5( W, Y, Z, T ) ) }.
% 2.85/3.24 (20239) {G0,W30,D3,L3,V5,M3} { ! eqangle( X, Z, Y, Z, X, T, Y, U ), coll(
% 2.85/3.24 X, Y, Z ), eqangle( X, Z, Y, Z, X, skol5( X, Y, Z, T ), Y, skol5( X, Y, Z
% 2.85/3.24 , T ) ) }.
% 2.85/3.24 (20240) {G0,W18,D3,L3,V10,M3} { ! midp( U, X, Y ), ! midp( W, Z, T ), midp
% 2.85/3.24 ( skol6( X, V0, V1, T, V2, V3 ), X, T ) }.
% 2.85/3.24 (20241) {G0,W19,D3,L3,V8,M3} { ! midp( U, X, Y ), ! midp( W, Z, T ), para
% 2.85/3.24 ( skol6( X, V0, Z, T, V1, W ), W, X, Z ) }.
% 2.85/3.24 (20242) {G0,W19,D3,L3,V6,M3} { ! midp( U, X, Y ), ! midp( W, Z, T ), para
% 2.85/3.24 ( skol6( X, Y, Z, T, U, W ), U, Y, T ) }.
% 2.85/3.24 (20243) {G0,W22,D3,L5,V7,M5} { ! midp( Z, X, Y ), ! midp( W, T, U ), !
% 2.85/3.24 coll( T, X, Y ), ! coll( U, X, Y ), midp( skol7( X, V0 ), X, V0 ) }.
% 2.85/3.24 (20244) {G0,W26,D3,L5,V8,M5} { ! midp( T, X, U ), ! para( X, W, Z, T ), !
% 2.85/3.24 para( X, W, U, Y ), ! coll( W, Y, Z ), coll( skol8( V0, V1, Z, T ), T, Z
% 2.85/3.24 ) }.
% 2.85/3.24 (20245) {G0,W26,D3,L5,V6,M5} { ! midp( T, X, U ), ! para( X, W, Z, T ), !
% 2.85/3.24 para( X, W, U, Y ), ! coll( W, Y, Z ), coll( skol8( X, Y, Z, T ), X, Y )
% 2.85/3.24 }.
% 2.85/3.24 (20246) {G0,W19,D3,L3,V7,M3} { ! cong( T, Z, T, U ), ! perp( X, Y, Y, T )
% 2.85/3.24 , cong( T, Z, T, skol9( W, V0, Z, T ) ) }.
% 2.85/3.24 (20247) {G0,W19,D3,L3,V6,M3} { ! cong( T, Z, T, U ), ! perp( X, Y, Y, T )
% 2.85/3.24 , cong( Y, Z, Y, skol9( W, Y, Z, T ) ) }.
% 2.85/3.24 (20248) {G0,W19,D3,L3,V5,M3} { ! cong( T, Z, T, U ), ! perp( X, Y, Y, T )
% 2.85/3.24 , para( skol9( X, Y, Z, T ), Z, X, Y ) }.
% 2.85/3.24 (20249) {G0,W17,D3,L3,V5,M3} { ! perp( X, T, Y, Z ), ! perp( Y, T, X, Z )
% 2.85/3.24 , coll( skol10( U, Y, Z ), Z, Y ) }.
% 2.85/3.24 (20250) {G0,W18,D3,L3,V4,M3} { ! perp( X, T, Y, Z ), ! perp( Y, T, X, Z )
% 2.85/3.24 , perp( X, skol10( X, Y, Z ), Z, Y ) }.
% 2.85/3.24 (20251) {G0,W14,D2,L3,V4,M3} { ! perp( X, T, Y, Z ), ! perp( Y, T, X, Z )
% 2.85/3.24 , alpha1( X, Y, Z ) }.
% 2.85/3.24 (20252) {G0,W11,D3,L2,V4,M2} { ! alpha1( X, Y, Z ), coll( skol11( X, T, Z
% 2.85/3.24 ), Z, X ) }.
% 2.85/3.24 (20253) {G0,W12,D3,L2,V3,M2} { ! alpha1( X, Y, Z ), perp( Y, skol11( X, Y
% 2.85/3.24 , Z ), Z, X ) }.
% 2.85/3.24 (20254) {G0,W13,D2,L3,V4,M3} { ! coll( T, Z, X ), ! perp( Y, T, Z, X ),
% 2.85/3.24 alpha1( X, Y, Z ) }.
% 2.85/3.24 (20255) {G0,W12,D3,L2,V4,M2} { ! circle( Y, X, Z, T ), perp( skol12( X, Y
% 2.85/3.24 ), X, X, Y ) }.
% 2.85/3.24 (20256) {G0,W28,D3,L5,V8,M5} { ! circle( W, X, Y, Z ), ! cong( W, X, W, T
% 2.85/3.24 ), ! cong( U, X, U, Y ), W = U, alpha2( X, Z, U, skol13( X, V0, Z, V1, U
% 2.85/3.24 ) ) }.
% 2.85/3.24 (20257) {G0,W26,D3,L5,V8,M5} { ! circle( W, X, Y, Z ), ! cong( W, X, W, T
% 2.85/3.24 ), ! cong( U, X, U, Y ), W = U, coll( skol21( V0, Y, T, V1 ), Y, T ) }.
% 2.85/3.24 (20258) {G0,W27,D3,L5,V6,M5} { ! circle( W, X, Y, Z ), ! cong( W, X, W, T
% 2.85/3.24 ), ! cong( U, X, U, Y ), W = U, cong( skol21( X, Y, T, U ), U, U, X )
% 2.85/3.24 }.
% 2.85/3.24 (20259) {G0,W9,D2,L2,V4,M2} { ! alpha2( X, Y, Z, T ), coll( T, X, Y ) }.
% 2.85/3.24 (20260) {G0,W10,D2,L2,V4,M2} { ! alpha2( X, Y, Z, T ), cong( T, Z, Z, X )
% 2.85/3.24 }.
% 2.85/3.24 (20261) {G0,W14,D2,L3,V4,M3} { ! coll( T, X, Y ), ! cong( T, Z, Z, X ),
% 2.85/3.24 alpha2( X, Y, Z, T ) }.
% 2.85/3.24 (20262) {G0,W22,D3,L4,V5,M4} { ! cyclic( X, Y, Z, T ), ! para( X, Y, Z, T
% 2.85/3.24 ), ! midp( U, X, Y ), circle( skol14( X, Y, Z ), X, Y, Z ) }.
% 2.85/3.24 (20263) {G0,W18,D3,L3,V4,M3} { ! perp( X, Z, Z, Y ), ! cyclic( X, Y, Z, T
% 2.85/3.24 ), circle( skol15( X, Y, Z ), X, Y, Z ) }.
% 2.85/3.24 (20264) {G0,W16,D3,L3,V6,M3} { ! perp( X, U, U, T ), ! coll( T, Y, Z ),
% 2.85/3.24 coll( skol16( W, Y, Z ), Y, Z ) }.
% 2.85/3.24 (20265) {G0,W17,D3,L3,V5,M3} { ! perp( X, U, U, T ), ! coll( T, Y, Z ),
% 2.85/3.24 perp( skol16( X, Y, Z ), X, Y, Z ) }.
% 2.85/3.24 (20266) {G0,W20,D3,L4,V5,M4} { ! perp( X, Z, X, Y ), ! perp( Y, X, Y, T )
% 2.85/3.24 , ! midp( U, Z, T ), midp( skol17( X, Y ), X, Y ) }.
% 2.85/3.24 (20267) {G0,W16,D3,L3,V3,M3} { ! cong( Y, X, Y, Z ), ! perp( X, Y, Y, Z )
% 2.85/3.24 , coll( X, Y, skol18( X, Y ) ) }.
% 2.85/3.24 (20268) {G0,W17,D3,L3,V3,M3} { ! cong( Y, X, Y, Z ), ! perp( X, Y, Y, Z )
% 2.85/3.24 , cong( Y, X, Y, skol18( X, Y ) ) }.
% 2.85/3.24 (20269) {G0,W25,D3,L5,V8,M5} { ! para( U, W, X, Y ), ! coll( Z, U, X ), !
% 2.85/3.24 coll( Z, W, Y ), ! coll( T, U, W ), coll( Z, T, skol19( V0, V1, Z, T ) )
% 2.85/3.24 }.
% 2.85/3.24 (20270) {G0,W25,D3,L5,V6,M5} { ! para( U, W, X, Y ), ! coll( Z, U, X ), !
% 2.85/3.24 coll( Z, W, Y ), ! coll( T, U, W ), coll( skol19( X, Y, Z, T ), X, Y )
% 2.85/3.24 }.
% 2.85/3.24 (20271) {G0,W5,D2,L1,V0,M1} { circle( skol22, skol20, skol25, skol26 ) }.
% 2.85/3.24 (20272) {G0,W4,D2,L1,V0,M1} { midp( skol27, skol26, skol25 ) }.
% 2.85/3.24 (20273) {G0,W4,D2,L1,V0,M1} { coll( skol23, skol22, skol27 ) }.
% 2.85/3.24 (20274) {G0,W4,D2,L1,V0,M1} { coll( skol23, skol20, skol25 ) }.
% 2.85/3.24 (20275) {G0,W5,D2,L1,V0,M1} { perp( skol26, skol22, skol26, skol24 ) }.
% 2.85/3.24 (20276) {G0,W5,D2,L1,V0,M1} { perp( skol20, skol22, skol20, skol24 ) }.
% 2.85/3.24 (20277) {G0,W5,D2,L1,V0,M1} { ! cyclic( skol20, skol22, skol24, skol23 )
% 2.85/3.24 }.
% 2.85/3.24
% 2.85/3.24
% 2.85/3.24 Total Proof:
% 2.85/3.24
% 2.85/3.24 subsumption: (0) {G0,W8,D2,L2,V3,M2} I { ! coll( X, Y, Z ), coll( X, Z, Y )
% 2.85/3.24 }.
% 2.85/3.24 parent0: (20154) {G0,W8,D2,L2,V3,M2} { ! coll( X, Y, Z ), coll( X, Z, Y )
% 2.85/3.24 }.
% 2.85/3.24 substitution0:
% 2.85/3.24 X := X
% 2.85/3.24 Y := Y
% 2.85/3.24 Z := Z
% 2.85/3.24 end
% 2.85/3.24 permutation0:
% 2.85/3.24 0 ==> 0
% 2.85/3.24 1 ==> 1
% 2.85/3.24 end
% 2.85/3.24
% 2.85/3.24 subsumption: (1) {G0,W8,D2,L2,V3,M2} I { ! coll( X, Y, Z ), coll( Y, X, Z )
% 2.85/3.24 }.
% 2.85/3.24 parent0: (20155) {G0,W8,D2,L2,V3,M2} { ! coll( X, Y, Z ), coll( Y, X, Z )
% 2.85/3.24 }.
% 2.85/3.24 substitution0:
% 2.85/3.24 X := X
% 2.85/3.24 Y := Y
% 2.85/3.24 Z := Z
% 2.85/3.24 end
% 2.85/3.24 permutation0:
% 2.85/3.24 0 ==> 0
% 2.85/3.24 1 ==> 1
% 2.85/3.24 end
% 2.85/3.24
% 2.85/3.24 subsumption: (2) {G0,W12,D2,L3,V4,M3} I { ! coll( X, T, Y ), ! coll( X, T,
% 2.85/3.24 Z ), coll( Y, Z, X ) }.
% 2.85/3.24 parent0: (20156) {G0,W12,D2,L3,V4,M3} { ! coll( X, T, Y ), ! coll( X, T, Z
% 2.85/3.24 ), coll( Y, Z, X ) }.
% 2.85/3.24 substitution0:
% 2.85/3.24 X := X
% 2.85/3.24 Y := Y
% 2.85/3.24 Z := Z
% 2.85/3.24 T := T
% 2.85/3.24 end
% 2.85/3.24 permutation0:
% 2.85/3.24 0 ==> 0
% 2.85/3.24 1 ==> 1
% 2.85/3.24 2 ==> 2
% 2.85/3.24 end
% 2.85/3.24
% 2.85/3.24 subsumption: (4) {G0,W10,D2,L2,V4,M2} I { ! para( X, Y, Z, T ), para( Z, T
% 2.85/3.24 , X, Y ) }.
% 2.85/3.24 parent0: (20158) {G0,W10,D2,L2,V4,M2} { ! para( X, Y, Z, T ), para( Z, T,
% 2.85/3.24 X, Y ) }.
% 2.85/3.24 substitution0:
% 2.85/3.24 X := X
% 2.85/3.24 Y := Y
% 2.85/3.24 Z := Z
% 2.85/3.24 T := T
% 2.85/3.24 end
% 2.85/3.24 permutation0:
% 2.85/3.24 0 ==> 0
% 2.85/3.24 1 ==> 1
% 2.85/3.24 end
% 2.85/3.24
% 2.85/3.24 subsumption: (5) {G0,W15,D2,L3,V6,M3} I { ! para( X, Y, U, W ), ! para( U,
% 2.85/3.24 W, Z, T ), para( X, Y, Z, T ) }.
% 2.85/3.24 parent0: (20159) {G0,W15,D2,L3,V6,M3} { ! para( X, Y, U, W ), ! para( U, W
% 2.85/3.24 , Z, T ), para( X, Y, Z, T ) }.
% 2.85/3.24 substitution0:
% 2.85/3.24 X := X
% 2.85/3.24 Y := Y
% 2.85/3.24 Z := Z
% 2.85/3.24 T := T
% 2.85/3.24 U := U
% 2.85/3.24 W := W
% 2.85/3.24 end
% 2.85/3.24 permutation0:
% 2.85/3.24 0 ==> 0
% 2.85/3.24 1 ==> 1
% 2.85/3.24 2 ==> 2
% 2.85/3.24 end
% 2.85/3.24
% 2.85/3.24 subsumption: (10) {G0,W8,D2,L2,V3,M2} I { ! midp( Z, Y, X ), midp( Z, X, Y
% 2.85/3.24 ) }.
% 2.85/3.24 parent0: (20164) {G0,W8,D2,L2,V3,M2} { ! midp( Z, Y, X ), midp( Z, X, Y )
% 2.85/3.24 }.
% 2.85/3.24 substitution0:
% 2.85/3.24 X := X
% 2.85/3.24 Y := Y
% 2.85/3.24 Z := Z
% 2.85/3.24 end
% 2.85/3.24 permutation0:
% 2.85/3.24 0 ==> 0
% 2.85/3.24 1 ==> 1
% 2.85/3.24 end
% 2.85/3.24
% 2.85/3.24 subsumption: (13) {G0,W10,D2,L2,V4,M2} I { ! cyclic( X, Y, Z, T ), cyclic(
% 2.85/3.24 X, Y, T, Z ) }.
% 2.85/3.24 parent0: (20167) {G0,W10,D2,L2,V4,M2} { ! cyclic( X, Y, Z, T ), cyclic( X
% 2.85/3.24 , Y, T, Z ) }.
% 2.85/3.24 substitution0:
% 2.85/3.24 X := X
% 2.85/3.24 Y := Y
% 2.85/3.24 Z := Z
% 2.85/3.24 T := T
% 2.85/3.24 end
% 2.85/3.24 permutation0:
% 2.85/3.24 0 ==> 0
% 2.85/3.24 1 ==> 1
% 2.85/3.24 end
% 2.85/3.24
% 2.85/3.24 subsumption: (14) {G0,W10,D2,L2,V4,M2} I { ! cyclic( X, Y, Z, T ), cyclic(
% 2.85/3.24 X, Z, Y, T ) }.
% 2.85/3.24 parent0: (20168) {G0,W10,D2,L2,V4,M2} { ! cyclic( X, Y, Z, T ), cyclic( X
% 2.85/3.24 , Z, Y, T ) }.
% 2.85/3.24 substitution0:
% 2.85/3.24 X := X
% 2.85/3.24 Y := Y
% 2.85/3.24 Z := Z
% 2.85/3.24 T := T
% 2.85/3.24 end
% 2.85/3.24 permutation0:
% 2.85/3.24 0 ==> 0
% 2.85/3.24 1 ==> 1
% 2.85/3.24 end
% 2.85/3.24
% 2.85/3.24 subsumption: (15) {G0,W10,D2,L2,V4,M2} I { ! cyclic( X, Y, Z, T ), cyclic(
% 2.85/3.24 Y, X, Z, T ) }.
% 2.85/3.24 parent0: (20169) {G0,W10,D2,L2,V4,M2} { ! cyclic( X, Y, Z, T ), cyclic( Y
% 2.85/3.24 , X, Z, T ) }.
% 2.85/3.24 substitution0:
% 2.85/3.24 X := X
% 2.85/3.24 Y := Y
% 2.85/3.24 Z := Z
% 2.85/3.24 T := T
% 2.85/3.24 end
% 2.85/3.24 permutation0:
% 2.85/3.24 0 ==> 0
% 2.85/3.24 1 ==> 1
% 2.85/3.24 end
% 2.85/3.24
% 2.85/3.24 subsumption: (16) {G0,W15,D2,L3,V5,M3} I { ! cyclic( U, X, Y, Z ), ! cyclic
% 2.85/3.24 ( U, X, Y, T ), cyclic( X, Y, Z, T ) }.
% 2.85/3.24 parent0: (20170) {G0,W15,D2,L3,V5,M3} { ! cyclic( U, X, Y, Z ), ! cyclic(
% 2.85/3.24 U, X, Y, T ), cyclic( X, Y, Z, T ) }.
% 2.85/3.24 substitution0:
% 2.85/3.24 X := X
% 2.85/3.24 Y := Y
% 2.85/3.24 Z := Z
% 2.85/3.24 T := T
% 2.85/3.24 U := U
% 2.85/3.24 end
% 2.85/3.24 permutation0:
% 2.85/3.24 0 ==> 0
% 2.85/3.24 1 ==> 1
% 2.85/3.24 2 ==> 2
% 2.85/3.24 end
% 2.85/3.24
% 2.85/3.24 subsumption: (17) {G0,W18,D2,L2,V8,M2} I { ! eqangle( X, Y, Z, T, U, W, V0
% 2.85/3.24 , V1 ), eqangle( Y, X, Z, T, U, W, V0, V1 ) }.
% 2.85/3.24 parent0: (20171) {G0,W18,D2,L2,V8,M2} { ! eqangle( X, Y, Z, T, U, W, V0,
% 2.85/3.24 V1 ), eqangle( Y, X, Z, T, U, W, V0, V1 ) }.
% 2.85/3.24 substitution0:
% 2.85/3.24 X := X
% 2.85/3.24 Y := Y
% 2.85/3.24 Z := Z
% 2.85/3.24 T := T
% 2.85/3.24 U := U
% 2.85/3.24 W := W
% 2.85/3.24 V0 := V0
% 2.85/3.24 V1 := V1
% 2.85/3.24 end
% 2.85/3.24 permutation0:
% 2.85/3.24 0 ==> 0
% 2.85/3.24 1 ==> 1
% 2.85/3.24 end
% 2.85/3.24
% 2.85/3.24 subsumption: (19) {G0,W18,D2,L2,V8,M2} I { ! eqangle( X, Y, Z, T, U, W, V0
% 2.85/3.24 , V1 ), eqangle( U, W, V0, V1, X, Y, Z, T ) }.
% 2.85/3.24 parent0: (20173) {G0,W18,D2,L2,V8,M2} { ! eqangle( X, Y, Z, T, U, W, V0,
% 2.85/3.24 V1 ), eqangle( U, W, V0, V1, X, Y, Z, T ) }.
% 2.85/3.24 substitution0:
% 2.85/3.24 X := X
% 2.85/3.24 Y := Y
% 2.85/3.24 Z := Z
% 2.85/3.24 T := T
% 2.85/3.24 U := U
% 2.85/3.24 W := W
% 2.85/3.24 V0 := V0
% 2.85/3.24 V1 := V1
% 2.85/3.24 end
% 2.85/3.24 permutation0:
% 2.85/3.24 0 ==> 0
% 2.85/3.24 1 ==> 1
% 2.85/3.24 end
% 2.85/3.24
% 2.85/3.24 subsumption: (20) {G0,W18,D2,L2,V8,M2} I { ! eqangle( X, Y, Z, T, U, W, V0
% 2.85/3.24 , V1 ), eqangle( X, Y, U, W, Z, T, V0, V1 ) }.
% 2.85/3.24 parent0: (20174) {G0,W18,D2,L2,V8,M2} { ! eqangle( X, Y, Z, T, U, W, V0,
% 2.85/3.24 V1 ), eqangle( X, Y, U, W, Z, T, V0, V1 ) }.
% 2.85/3.24 substitution0:
% 2.85/3.24 X := X
% 2.85/3.24 Y := Y
% 2.85/3.24 Z := Z
% 2.85/3.24 T := T
% 2.85/3.24 U := U
% 2.85/3.24 W := W
% 2.85/3.24 V0 := V0
% 2.85/3.24 V1 := V1
% 2.85/3.24 end
% 2.85/3.24 permutation0:
% 2.85/3.24 0 ==> 0
% 2.85/3.24 1 ==> 1
% 2.85/3.24 end
% 2.85/3.24
% 2.85/3.24 subsumption: (39) {G0,W14,D2,L2,V6,M2} I { ! para( X, Y, Z, T ), eqangle( X
% 2.85/3.24 , Y, U, W, Z, T, U, W ) }.
% 2.85/3.24 parent0: (20193) {G0,W14,D2,L2,V6,M2} { ! para( X, Y, Z, T ), eqangle( X,
% 2.85/3.24 Y, U, W, Z, T, U, W ) }.
% 2.85/3.24 substitution0:
% 2.85/3.24 X := X
% 2.85/3.24 Y := Y
% 2.85/3.24 Z := Z
% 2.85/3.24 T := T
% 2.85/3.24 U := U
% 2.85/3.24 W := W
% 2.85/3.24 end
% 2.85/3.24 permutation0:
% 2.85/3.24 0 ==> 0
% 2.85/3.24 1 ==> 1
% 2.85/3.24 end
% 2.85/3.24
% 2.85/3.24 subsumption: (42) {G0,W18,D2,L3,V4,M3} I { ! eqangle( Z, X, Z, Y, T, X, T,
% 2.85/3.24 Y ), ! coll( Z, T, Y ), cyclic( X, Y, Z, T ) }.
% 2.85/3.24 parent0: (20196) {G0,W18,D2,L3,V4,M3} { ! eqangle( Z, X, Z, Y, T, X, T, Y
% 2.85/3.24 ), ! coll( Z, T, Y ), cyclic( X, Y, Z, T ) }.
% 2.85/3.24 substitution0:
% 2.85/3.24 X := X
% 2.85/3.24 Y := Y
% 2.85/3.24 Z := Z
% 2.85/3.24 T := T
% 2.85/3.24 end
% 2.85/3.24 permutation0:
% 2.85/3.24 0 ==> 0
% 2.85/3.24 1 ==> 1
% 2.85/3.24 2 ==> 2
% 2.85/3.24 end
% 2.85/3.24
% 2.85/3.24 subsumption: (63) {G0,W13,D2,L3,V5,M3} I { ! midp( U, X, Y ), ! midp( U, Z
% 2.85/3.24 , T ), para( X, Z, Y, T ) }.
% 2.85/3.24 parent0: (20217) {G0,W13,D2,L3,V5,M3} { ! midp( U, X, Y ), ! midp( U, Z, T
% 2.85/3.24 ), para( X, Z, Y, T ) }.
% 2.85/3.24 substitution0:
% 2.85/3.24 X := X
% 2.85/3.24 Y := Y
% 2.85/3.24 Z := Z
% 2.85/3.24 T := T
% 2.85/3.24 U := U
% 2.85/3.24 end
% 2.85/3.24 permutation0:
% 2.85/3.24 0 ==> 0
% 2.85/3.24 1 ==> 1
% 2.85/3.24 2 ==> 2
% 2.85/3.24 end
% 2.85/3.24
% 2.85/3.24 subsumption: (69) {G0,W8,D2,L2,V3,M2} I { ! midp( X, Y, Z ), coll( X, Y, Z
% 2.85/3.24 ) }.
% 2.85/3.24 parent0: (20223) {G0,W8,D2,L2,V3,M2} { ! midp( X, Y, Z ), coll( X, Y, Z )
% 2.85/3.24 }.
% 2.85/3.24 substitution0:
% 2.85/3.24 X := X
% 2.85/3.24 Y := Y
% 2.85/3.24 Z := Z
% 2.85/3.24 end
% 2.85/3.24 permutation0:
% 2.85/3.24 0 ==> 0
% 2.85/3.24 1 ==> 1
% 2.85/3.24 end
% 2.85/3.24
% 2.85/3.24 subsumption: (72) {G0,W19,D2,L3,V8,M3} I { ! eqangle( X, Y, Z, T, U, W, V0
% 2.85/3.24 , V1 ), ! para( U, W, V0, V1 ), para( X, Y, Z, T ) }.
% 2.85/3.24 parent0: (20227) {G0,W19,D2,L3,V8,M3} { ! eqangle( X, Y, Z, T, U, W, V0,
% 2.85/3.24 V1 ), ! para( U, W, V0, V1 ), para( X, Y, Z, T ) }.
% 2.85/3.24 substitution0:
% 2.85/3.24 X := X
% 2.85/3.24 Y := Y
% 2.85/3.24 Z := Z
% 2.85/3.24 T := T
% 2.85/3.24 U := U
% 2.85/3.24 W := W
% 2.85/3.24 V0 := V0
% 2.85/3.24 V1 := V1
% 2.85/3.24 end
% 2.85/3.24 permutation0:
% 2.85/3.24 0 ==> 0
% 2.85/3.24 1 ==> 1
% 2.85/3.24 2 ==> 2
% 2.85/3.24 end
% 2.85/3.24
% 2.85/3.24 subsumption: (88) {G0,W22,D3,L5,V7,M5} I { ! midp( Z, X, Y ), ! midp( W, T
% 2.85/3.24 , U ), ! coll( T, X, Y ), ! coll( U, X, Y ), midp( skol7( X, V0 ), X, V0
% 2.85/3.24 ) }.
% 2.85/3.24 parent0: (20243) {G0,W22,D3,L5,V7,M5} { ! midp( Z, X, Y ), ! midp( W, T, U
% 2.85/3.24 ), ! coll( T, X, Y ), ! coll( U, X, Y ), midp( skol7( X, V0 ), X, V0 )
% 2.85/3.24 }.
% 2.85/3.24 substitution0:
% 2.85/3.24 X := X
% 2.85/3.24 Y := Y
% 2.85/3.24 Z := Z
% 2.85/3.24 T := T
% 2.85/3.24 U := U
% 2.85/3.24 W := W
% 2.85/3.24 V0 := V0
% 2.85/3.24 end
% 2.85/3.24 permutation0:
% 2.85/3.24 0 ==> 0
% 2.85/3.24 1 ==> 1
% 2.85/3.24 2 ==> 2
% 2.85/3.24 3 ==> 3
% 2.85/3.24 4 ==> 4
% 2.85/3.24 end
% 2.85/3.24
% 2.85/3.24 subsumption: (117) {G0,W4,D2,L1,V0,M1} I { midp( skol27, skol26, skol25 )
% 2.85/3.24 }.
% 2.85/3.24 parent0: (20272) {G0,W4,D2,L1,V0,M1} { midp( skol27, skol26, skol25 ) }.
% 2.85/3.24 substitution0:
% 2.85/3.24 end
% 2.85/3.24 permutation0:
% 2.85/3.24 0 ==> 0
% 2.85/3.24 end
% 2.85/3.24
% 2.85/3.24 subsumption: (122) {G0,W5,D2,L1,V0,M1} I { ! cyclic( skol20, skol22, skol24
% 2.85/3.24 , skol23 ) }.
% 2.85/3.24 parent0: (20277) {G0,W5,D2,L1,V0,M1} { ! cyclic( skol20, skol22, skol24,
% 2.85/3.24 skol23 ) }.
% 2.85/3.24 substitution0:
% 2.85/3.24 end
% 2.85/3.24 permutation0:
% 2.85/3.24 0 ==> 0
% 2.85/3.24 end
% 2.85/3.24
% 2.85/3.24 factor: (20583) {G0,W9,D2,L2,V3,M2} { ! midp( X, Y, Z ), para( Y, Y, Z, Z
% 2.85/3.24 ) }.
% 2.85/3.24 parent0[0, 1]: (63) {G0,W13,D2,L3,V5,M3} I { ! midp( U, X, Y ), ! midp( U,
% 2.85/3.24 Z, T ), para( X, Z, Y, T ) }.
% 2.85/3.24 substitution0:
% 2.85/3.24 X := Y
% 2.85/3.24 Y := Z
% 2.85/3.24 Z := Y
% 2.85/3.24 T := Z
% 2.85/3.24 U := X
% 2.85/3.24 end
% 2.85/3.24
% 2.85/3.24 subsumption: (138) {G1,W9,D2,L2,V3,M2} F(63) { ! midp( X, Y, Z ), para( Y,
% 2.85/3.24 Y, Z, Z ) }.
% 2.85/3.24 parent0: (20583) {G0,W9,D2,L2,V3,M2} { ! midp( X, Y, Z ), para( Y, Y, Z, Z
% 2.85/3.24 ) }.
% 2.85/3.24 substitution0:
% 2.85/3.24 X := X
% 2.85/3.24 Y := Y
% 2.85/3.24 Z := Z
% 2.85/3.24 end
% 2.85/3.24 permutation0:
% 2.85/3.24 0 ==> 0
% 2.85/3.24 1 ==> 1
% 2.85/3.24 end
% 2.85/3.24
% 2.85/3.24 factor: (20584) {G0,W18,D3,L4,V4,M4} { ! midp( X, Y, Z ), ! coll( Y, Y, Z
% 2.85/3.24 ), ! coll( Z, Y, Z ), midp( skol7( Y, T ), Y, T ) }.
% 2.85/3.24 parent0[0, 1]: (88) {G0,W22,D3,L5,V7,M5} I { ! midp( Z, X, Y ), ! midp( W,
% 2.85/3.24 T, U ), ! coll( T, X, Y ), ! coll( U, X, Y ), midp( skol7( X, V0 ), X, V0
% 2.85/3.24 ) }.
% 2.85/3.24 substitution0:
% 2.85/3.24 X := Y
% 2.85/3.24 Y := Z
% 2.85/3.24 Z := X
% 2.85/3.24 T := Y
% 2.85/3.24 U := Z
% 2.85/3.24 W := X
% 2.85/3.24 V0 := T
% 2.85/3.24 end
% 2.85/3.24
% 2.85/3.24 subsumption: (145) {G1,W18,D3,L4,V4,M4} F(88) { ! midp( X, Y, Z ), ! coll(
% 2.85/3.24 Y, Y, Z ), ! coll( Z, Y, Z ), midp( skol7( Y, T ), Y, T ) }.
% 2.85/3.24 parent0: (20584) {G0,W18,D3,L4,V4,M4} { ! midp( X, Y, Z ), ! coll( Y, Y, Z
% 2.85/3.24 ), ! coll( Z, Y, Z ), midp( skol7( Y, T ), Y, T ) }.
% 2.85/3.24 substitution0:
% 2.85/3.24 X := X
% 2.85/3.24 Y := Y
% 2.85/3.24 Z := Z
% 2.85/3.24 T := T
% 2.85/3.24 end
% 2.85/3.24 permutation0:
% 2.85/3.24 0 ==> 0
% 2.85/3.24 1 ==> 1
% 2.85/3.24 2 ==> 2
% 2.85/3.24 3 ==> 3
% 2.85/3.24 end
% 2.85/3.24
% 2.85/3.24 resolution: (20587) {G1,W8,D2,L2,V3,M2} { coll( Y, X, Z ), ! coll( X, Z, Y
% 2.85/3.24 ) }.
% 2.85/3.24 parent0[0]: (1) {G0,W8,D2,L2,V3,M2} I { ! coll( X, Y, Z ), coll( Y, X, Z )
% 2.85/3.24 }.
% 2.85/3.24 parent1[1]: (0) {G0,W8,D2,L2,V3,M2} I { ! coll( X, Y, Z ), coll( X, Z, Y )
% 2.85/3.24 }.
% 2.85/3.24 substitution0:
% 2.85/3.24 X := X
% 2.85/3.24 Y := Y
% 2.85/3.24 Z := Z
% 2.85/3.24 end
% 2.85/3.24 substitution1:
% 2.85/3.24 X := X
% 2.85/3.24 Y := Z
% 2.85/3.24 Z := Y
% 2.85/3.24 end
% 2.85/3.24
% 2.85/3.24 subsumption: (164) {G1,W8,D2,L2,V3,M2} R(1,0) { coll( X, Y, Z ), ! coll( Y
% 2.85/3.24 , Z, X ) }.
% 2.85/3.24 parent0: (20587) {G1,W8,D2,L2,V3,M2} { coll( Y, X, Z ), ! coll( X, Z, Y )
% 2.85/3.24 }.
% 2.85/3.24 substitution0:
% 2.85/3.24 X := Y
% 2.85/3.24 Y := X
% 2.85/3.24 Z := Z
% 2.85/3.24 end
% 2.85/3.24 permutation0:
% 2.85/3.24 0 ==> 0
% 2.85/3.24 1 ==> 1
% 2.85/3.24 end
% 2.85/3.24
% 2.85/3.24 resolution: (20589) {G1,W8,D2,L2,V3,M2} { coll( X, Z, Y ), ! coll( Y, X, Z
% 2.85/3.24 ) }.
% 2.85/3.24 parent0[0]: (0) {G0,W8,D2,L2,V3,M2} I { ! coll( X, Y, Z ), coll( X, Z, Y )
% 2.85/3.24 }.
% 2.85/3.24 parent1[1]: (1) {G0,W8,D2,L2,V3,M2} I { ! coll( X, Y, Z ), coll( Y, X, Z )
% 2.85/3.24 }.
% 2.85/3.24 substitution0:
% 2.85/3.24 X := X
% 2.85/3.24 Y := Y
% 2.85/3.24 Z := Z
% 2.85/3.24 end
% 2.85/3.24 substitution1:
% 2.85/3.24 X := Y
% 2.85/3.24 Y := X
% 2.85/3.24 Z := Z
% 2.85/3.24 end
% 2.85/3.24
% 2.85/3.24 subsumption: (165) {G1,W8,D2,L2,V3,M2} R(1,0) { ! coll( X, Y, Z ), coll( Y
% 2.85/3.24 , Z, X ) }.
% 2.85/3.24 parent0: (20589) {G1,W8,D2,L2,V3,M2} { coll( X, Z, Y ), ! coll( Y, X, Z )
% 2.85/3.24 }.
% 2.85/3.24 substitution0:
% 2.85/3.24 X := Y
% 2.85/3.24 Y := X
% 2.85/3.24 Z := Z
% 2.85/3.24 end
% 2.85/3.24 permutation0:
% 2.85/3.24 0 ==> 1
% 2.85/3.24 1 ==> 0
% 2.85/3.24 end
% 2.85/3.24
% 2.85/3.24 resolution: (20593) {G1,W12,D2,L3,V4,M3} { coll( X, Z, Y ), ! coll( Z, T,
% 2.85/3.24 X ), ! coll( Z, T, Y ) }.
% 2.85/3.24 parent0[0]: (0) {G0,W8,D2,L2,V3,M2} I { ! coll( X, Y, Z ), coll( X, Z, Y )
% 2.85/3.24 }.
% 2.85/3.24 parent1[2]: (2) {G0,W12,D2,L3,V4,M3} I { ! coll( X, T, Y ), ! coll( X, T, Z
% 2.85/3.24 ), coll( Y, Z, X ) }.
% 2.85/3.24 substitution0:
% 2.85/3.24 X := X
% 2.85/3.24 Y := Y
% 2.85/3.24 Z := Z
% 2.85/3.24 end
% 2.85/3.24 substitution1:
% 2.85/3.24 X := Z
% 2.85/3.24 Y := X
% 2.85/3.24 Z := Y
% 2.85/3.24 T := T
% 2.85/3.24 end
% 2.85/3.24
% 2.85/3.24 subsumption: (189) {G1,W12,D2,L3,V4,M3} R(2,0) { ! coll( X, Y, Z ), ! coll
% 2.85/3.24 ( X, Y, T ), coll( Z, X, T ) }.
% 2.85/3.24 parent0: (20593) {G1,W12,D2,L3,V4,M3} { coll( X, Z, Y ), ! coll( Z, T, X )
% 2.85/3.24 , ! coll( Z, T, Y ) }.
% 2.85/3.24 substitution0:
% 2.85/3.24 X := Z
% 2.85/3.24 Y := T
% 2.85/3.24 Z := X
% 2.85/3.24 T := Y
% 2.85/3.24 end
% 2.85/3.24 permutation0:
% 2.85/3.24 0 ==> 2
% 2.85/3.24 1 ==> 0
% 2.85/3.24 2 ==> 1
% 2.85/3.24 end
% 2.85/3.24
% 2.85/3.24 factor: (20595) {G1,W8,D2,L2,V3,M2} { ! coll( X, Y, Z ), coll( Z, X, Z )
% 2.85/3.24 }.
% 2.85/3.24 parent0[0, 1]: (189) {G1,W12,D2,L3,V4,M3} R(2,0) { ! coll( X, Y, Z ), !
% 2.85/3.24 coll( X, Y, T ), coll( Z, X, T ) }.
% 2.85/3.24 substitution0:
% 2.85/3.24 X := X
% 2.85/3.24 Y := Y
% 2.85/3.24 Z := Z
% 2.85/3.24 T := Z
% 2.85/3.24 end
% 2.85/3.24
% 2.85/3.24 subsumption: (194) {G2,W8,D2,L2,V3,M2} F(189) { ! coll( X, Y, Z ), coll( Z
% 2.85/3.24 , X, Z ) }.
% 2.85/3.24 parent0: (20595) {G1,W8,D2,L2,V3,M2} { ! coll( X, Y, Z ), coll( Z, X, Z )
% 2.85/3.24 }.
% 2.85/3.24 substitution0:
% 2.85/3.24 X := X
% 2.85/3.24 Y := Y
% 2.85/3.24 Z := Z
% 2.85/3.24 end
% 2.85/3.24 permutation0:
% 2.85/3.24 0 ==> 0
% 2.85/3.24 1 ==> 1
% 2.85/3.24 end
% 2.85/3.24
% 2.85/3.24 resolution: (20596) {G1,W12,D2,L3,V4,M3} { coll( Z, X, Z ), ! coll( Z, T,
% 2.85/3.24 X ), ! coll( Z, T, Y ) }.
% 2.85/3.24 parent0[0]: (194) {G2,W8,D2,L2,V3,M2} F(189) { ! coll( X, Y, Z ), coll( Z,
% 2.85/3.24 X, Z ) }.
% 2.85/3.24 parent1[2]: (2) {G0,W12,D2,L3,V4,M3} I { ! coll( X, T, Y ), ! coll( X, T, Z
% 2.85/3.24 ), coll( Y, Z, X ) }.
% 2.85/3.24 substitution0:
% 2.85/3.24 X := X
% 2.85/3.24 Y := Y
% 2.85/3.24 Z := Z
% 2.85/3.24 end
% 2.85/3.24 substitution1:
% 2.85/3.24 X := Z
% 2.85/3.24 Y := X
% 2.85/3.24 Z := Y
% 2.85/3.24 T := T
% 2.85/3.24 end
% 2.85/3.24
% 2.85/3.24 subsumption: (211) {G3,W12,D2,L3,V4,M3} R(194,2) { coll( X, Y, X ), ! coll
% 2.85/3.24 ( X, Z, Y ), ! coll( X, Z, T ) }.
% 2.85/3.24 parent0: (20596) {G1,W12,D2,L3,V4,M3} { coll( Z, X, Z ), ! coll( Z, T, X )
% 2.85/3.24 , ! coll( Z, T, Y ) }.
% 2.85/3.24 substitution0:
% 2.85/3.24 X := Y
% 2.85/3.24 Y := Y
% 2.85/3.24 Z := X
% 2.85/3.24 T := Z
% 2.85/3.24 end
% 2.85/3.24 permutation0:
% 2.85/3.24 0 ==> 0
% 2.85/3.24 1 ==> 1
% 2.85/3.24 2 ==> 1
% 2.85/3.24 end
% 2.85/3.24
% 2.85/3.24 resolution: (20598) {G1,W8,D2,L2,V3,M2} { coll( Z, X, Z ), ! coll( Y, X, Z
% 2.85/3.24 ) }.
% 2.85/3.24 parent0[0]: (194) {G2,W8,D2,L2,V3,M2} F(189) { ! coll( X, Y, Z ), coll( Z,
% 2.85/3.24 X, Z ) }.
% 2.85/3.24 parent1[1]: (1) {G0,W8,D2,L2,V3,M2} I { ! coll( X, Y, Z ), coll( Y, X, Z )
% 2.85/3.24 }.
% 2.85/3.24 substitution0:
% 2.85/3.24 X := X
% 2.85/3.24 Y := Y
% 2.85/3.24 Z := Z
% 2.85/3.24 end
% 2.85/3.24 substitution1:
% 2.85/3.24 X := Y
% 2.85/3.24 Y := X
% 2.85/3.24 Z := Z
% 2.85/3.24 end
% 2.85/3.24
% 2.85/3.24 subsumption: (217) {G3,W8,D2,L2,V3,M2} R(194,1) { coll( X, Y, X ), ! coll(
% 2.85/3.24 Z, Y, X ) }.
% 2.85/3.24 parent0: (20598) {G1,W8,D2,L2,V3,M2} { coll( Z, X, Z ), ! coll( Y, X, Z )
% 2.85/3.24 }.
% 2.85/3.24 substitution0:
% 2.85/3.24 X := Y
% 2.85/3.24 Y := Z
% 2.85/3.24 Z := X
% 2.85/3.24 end
% 2.85/3.24 permutation0:
% 2.85/3.24 0 ==> 0
% 2.85/3.24 1 ==> 1
% 2.85/3.24 end
% 2.85/3.24
% 2.85/3.24 factor: (20599) {G3,W8,D2,L2,V3,M2} { coll( X, Y, X ), ! coll( X, Z, Y )
% 2.85/3.24 }.
% 2.85/3.24 parent0[1, 2]: (211) {G3,W12,D2,L3,V4,M3} R(194,2) { coll( X, Y, X ), !
% 2.85/3.24 coll( X, Z, Y ), ! coll( X, Z, T ) }.
% 2.85/3.24 substitution0:
% 2.85/3.24 X := X
% 2.85/3.24 Y := Y
% 2.85/3.24 Z := Z
% 2.85/3.24 T := Y
% 2.85/3.24 end
% 2.85/3.24
% 2.85/3.24 subsumption: (224) {G4,W8,D2,L2,V3,M2} F(211) { coll( X, Y, X ), ! coll( X
% 2.85/3.24 , Z, Y ) }.
% 2.85/3.24 parent0: (20599) {G3,W8,D2,L2,V3,M2} { coll( X, Y, X ), ! coll( X, Z, Y )
% 2.85/3.24 }.
% 2.85/3.24 substitution0:
% 2.85/3.24 X := X
% 2.85/3.24 Y := Y
% 2.85/3.24 Z := Z
% 2.85/3.24 end
% 2.85/3.24 permutation0:
% 2.85/3.24 0 ==> 0
% 2.85/3.24 1 ==> 1
% 2.85/3.24 end
% 2.85/3.24
% 2.85/3.24 resolution: (20600) {G1,W15,D2,L3,V6,M3} { ! para( Z, T, U, W ), para( X,
% 2.85/3.24 Y, U, W ), ! para( Z, T, X, Y ) }.
% 2.85/3.24 parent0[0]: (5) {G0,W15,D2,L3,V6,M3} I { ! para( X, Y, U, W ), ! para( U, W
% 2.85/3.24 , Z, T ), para( X, Y, Z, T ) }.
% 2.85/3.24 parent1[1]: (4) {G0,W10,D2,L2,V4,M2} I { ! para( X, Y, Z, T ), para( Z, T,
% 2.85/3.24 X, Y ) }.
% 2.85/3.24 substitution0:
% 2.85/3.24 X := X
% 2.85/3.24 Y := Y
% 2.85/3.24 Z := U
% 2.85/3.24 T := W
% 2.85/3.24 U := Z
% 2.85/3.24 W := T
% 2.85/3.24 end
% 2.85/3.24 substitution1:
% 2.85/3.24 X := Z
% 2.85/3.24 Y := T
% 2.85/3.24 Z := X
% 2.85/3.24 T := Y
% 2.85/3.24 end
% 2.85/3.24
% 2.85/3.24 subsumption: (240) {G1,W15,D2,L3,V6,M3} R(5,4) { ! para( X, Y, Z, T ), para
% 2.85/3.24 ( U, W, Z, T ), ! para( X, Y, U, W ) }.
% 2.85/3.24 parent0: (20600) {G1,W15,D2,L3,V6,M3} { ! para( Z, T, U, W ), para( X, Y,
% 2.85/3.24 U, W ), ! para( Z, T, X, Y ) }.
% 2.85/3.24 substitution0:
% 2.85/3.24 X := U
% 2.85/3.24 Y := W
% 2.85/3.24 Z := X
% 2.85/3.24 T := Y
% 2.85/3.24 U := Z
% 2.85/3.24 W := T
% 2.85/3.24 end
% 2.85/3.24 permutation0:
% 2.85/3.24 0 ==> 0
% 2.85/3.24 1 ==> 1
% 2.85/3.24 2 ==> 2
% 2.85/3.24 end
% 2.85/3.24
% 2.85/3.24 resolution: (20605) {G1,W15,D2,L3,V6,M3} { ! para( X, Y, Z, T ), para( X,
% 2.85/3.24 Y, U, W ), ! para( U, W, Z, T ) }.
% 2.85/3.24 parent0[1]: (5) {G0,W15,D2,L3,V6,M3} I { ! para( X, Y, U, W ), ! para( U, W
% 2.85/3.24 , Z, T ), para( X, Y, Z, T ) }.
% 2.85/3.24 parent1[1]: (4) {G0,W10,D2,L2,V4,M2} I { ! para( X, Y, Z, T ), para( Z, T,
% 2.85/3.24 X, Y ) }.
% 2.85/3.24 substitution0:
% 2.85/3.24 X := X
% 2.85/3.24 Y := Y
% 2.85/3.24 Z := U
% 2.85/3.24 T := W
% 2.85/3.24 U := Z
% 2.85/3.24 W := T
% 2.85/3.24 end
% 2.85/3.24 substitution1:
% 2.85/3.24 X := U
% 2.85/3.24 Y := W
% 2.85/3.24 Z := Z
% 2.85/3.24 T := T
% 2.85/3.24 end
% 2.85/3.24
% 2.85/3.24 subsumption: (241) {G1,W15,D2,L3,V6,M3} R(5,4) { ! para( X, Y, Z, T ), para
% 2.85/3.24 ( X, Y, U, W ), ! para( U, W, Z, T ) }.
% 2.85/3.24 parent0: (20605) {G1,W15,D2,L3,V6,M3} { ! para( X, Y, Z, T ), para( X, Y,
% 2.85/3.24 U, W ), ! para( U, W, Z, T ) }.
% 2.85/3.24 substitution0:
% 2.85/3.24 X := X
% 2.85/3.24 Y := Y
% 2.85/3.24 Z := Z
% 2.85/3.24 T := T
% 2.85/3.24 U := U
% 2.85/3.24 W := W
% 2.85/3.24 end
% 2.85/3.24 permutation0:
% 2.85/3.24 0 ==> 0
% 2.85/3.24 1 ==> 1
% 2.85/3.24 2 ==> 2
% 2.85/3.24 end
% 2.85/3.24
% 2.85/3.24 factor: (20608) {G1,W10,D2,L2,V4,M2} { ! para( X, Y, Z, T ), para( X, Y, X
% 2.85/3.24 , Y ) }.
% 2.85/3.24 parent0[0, 2]: (241) {G1,W15,D2,L3,V6,M3} R(5,4) { ! para( X, Y, Z, T ),
% 2.85/3.24 para( X, Y, U, W ), ! para( U, W, Z, T ) }.
% 2.85/3.24 substitution0:
% 2.85/3.24 X := X
% 2.85/3.24 Y := Y
% 2.85/3.24 Z := Z
% 2.85/3.24 T := T
% 2.85/3.24 U := X
% 2.85/3.24 W := Y
% 2.85/3.24 end
% 2.85/3.24
% 2.85/3.24 subsumption: (245) {G2,W10,D2,L2,V4,M2} F(241) { ! para( X, Y, Z, T ), para
% 2.85/3.24 ( X, Y, X, Y ) }.
% 2.85/3.24 parent0: (20608) {G1,W10,D2,L2,V4,M2} { ! para( X, Y, Z, T ), para( X, Y,
% 2.85/3.24 X, Y ) }.
% 2.85/3.24 substitution0:
% 2.85/3.24 X := X
% 2.85/3.24 Y := Y
% 2.85/3.24 Z := Z
% 2.85/3.24 T := T
% 2.85/3.24 end
% 2.85/3.24 permutation0:
% 2.85/3.24 0 ==> 0
% 2.85/3.24 1 ==> 1
% 2.85/3.24 end
% 2.85/3.24
% 2.85/3.24 factor: (20609) {G1,W10,D2,L2,V4,M2} { ! para( X, Y, Z, T ), para( Z, T, Z
% 2.85/3.24 , T ) }.
% 2.85/3.24 parent0[0, 2]: (240) {G1,W15,D2,L3,V6,M3} R(5,4) { ! para( X, Y, Z, T ),
% 2.85/3.24 para( U, W, Z, T ), ! para( X, Y, U, W ) }.
% 2.85/3.24 substitution0:
% 2.85/3.24 X := X
% 2.85/3.24 Y := Y
% 2.85/3.24 Z := Z
% 2.85/3.24 T := T
% 2.85/3.24 U := Z
% 2.85/3.24 W := T
% 2.85/3.24 end
% 2.85/3.24
% 2.85/3.24 subsumption: (246) {G2,W10,D2,L2,V4,M2} F(240) { ! para( X, Y, Z, T ), para
% 2.85/3.24 ( Z, T, Z, T ) }.
% 2.85/3.24 parent0: (20609) {G1,W10,D2,L2,V4,M2} { ! para( X, Y, Z, T ), para( Z, T,
% 2.85/3.24 Z, T ) }.
% 2.85/3.24 substitution0:
% 2.85/3.24 X := X
% 2.85/3.24 Y := Y
% 2.85/3.24 Z := Z
% 2.85/3.24 T := T
% 2.85/3.24 end
% 2.85/3.24 permutation0:
% 2.85/3.24 0 ==> 0
% 2.85/3.24 1 ==> 1
% 2.85/3.24 end
% 2.85/3.24
% 2.85/3.24 resolution: (20610) {G1,W4,D2,L1,V0,M1} { midp( skol27, skol25, skol26 )
% 2.85/3.24 }.
% 2.85/3.24 parent0[0]: (10) {G0,W8,D2,L2,V3,M2} I { ! midp( Z, Y, X ), midp( Z, X, Y )
% 2.85/3.24 }.
% 2.85/3.24 parent1[0]: (117) {G0,W4,D2,L1,V0,M1} I { midp( skol27, skol26, skol25 )
% 2.85/3.24 }.
% 2.85/3.24 substitution0:
% 2.85/3.24 X := skol25
% 2.85/3.24 Y := skol26
% 2.85/3.24 Z := skol27
% 2.85/3.24 end
% 2.85/3.24 substitution1:
% 2.85/3.24 end
% 2.85/3.24
% 2.85/3.24 subsumption: (316) {G1,W4,D2,L1,V0,M1} R(10,117) { midp( skol27, skol25,
% 2.85/3.24 skol26 ) }.
% 2.85/3.24 parent0: (20610) {G1,W4,D2,L1,V0,M1} { midp( skol27, skol25, skol26 ) }.
% 2.85/3.24 substitution0:
% 2.85/3.24 end
% 2.85/3.24 permutation0:
% 2.85/3.24 0 ==> 0
% 2.85/3.24 end
% 2.85/3.24
% 2.85/3.24 resolution: (20611) {G1,W5,D2,L1,V0,M1} { ! cyclic( skol20, skol22, skol23
% 2.85/3.24 , skol24 ) }.
% 2.85/3.24 parent0[0]: (122) {G0,W5,D2,L1,V0,M1} I { ! cyclic( skol20, skol22, skol24
% 2.85/3.24 , skol23 ) }.
% 2.85/3.24 parent1[1]: (13) {G0,W10,D2,L2,V4,M2} I { ! cyclic( X, Y, Z, T ), cyclic( X
% 2.85/3.24 , Y, T, Z ) }.
% 2.85/3.24 substitution0:
% 2.85/3.24 end
% 2.85/3.24 substitution1:
% 2.85/3.24 X := skol20
% 2.85/3.24 Y := skol22
% 2.85/3.24 Z := skol23
% 2.85/3.24 T := skol24
% 2.85/3.24 end
% 2.85/3.24
% 2.85/3.24 subsumption: (339) {G1,W5,D2,L1,V0,M1} R(13,122) { ! cyclic( skol20, skol22
% 2.85/3.24 , skol23, skol24 ) }.
% 2.85/3.24 parent0: (20611) {G1,W5,D2,L1,V0,M1} { ! cyclic( skol20, skol22, skol23,
% 2.85/3.24 skol24 ) }.
% 2.85/3.24 substitution0:
% 2.85/3.24 end
% 2.85/3.24 permutation0:
% 2.85/3.24 0 ==> 0
% 2.85/3.24 end
% 2.85/3.24
% 2.85/3.24 resolution: (20613) {G1,W10,D2,L2,V4,M2} { cyclic( X, Y, T, Z ), ! cyclic
% 2.85/3.24 ( X, Z, Y, T ) }.
% 2.85/3.24 parent0[0]: (13) {G0,W10,D2,L2,V4,M2} I { ! cyclic( X, Y, Z, T ), cyclic( X
% 2.85/3.24 , Y, T, Z ) }.
% 2.85/3.24 parent1[1]: (14) {G0,W10,D2,L2,V4,M2} I { ! cyclic( X, Y, Z, T ), cyclic( X
% 2.85/3.24 , Z, Y, T ) }.
% 2.85/3.24 substitution0:
% 2.85/3.24 X := X
% 2.85/3.24 Y := Y
% 2.85/3.24 Z := Z
% 2.85/3.24 T := T
% 2.85/3.24 end
% 2.85/3.24 substitution1:
% 2.85/3.24 X := X
% 2.85/3.24 Y := Z
% 2.85/3.24 Z := Y
% 2.85/3.24 T := T
% 2.85/3.24 end
% 2.85/3.24
% 2.85/3.24 subsumption: (348) {G1,W10,D2,L2,V4,M2} R(14,13) { ! cyclic( X, Y, Z, T ),
% 2.85/3.24 cyclic( X, Z, T, Y ) }.
% 2.85/3.24 parent0: (20613) {G1,W10,D2,L2,V4,M2} { cyclic( X, Y, T, Z ), ! cyclic( X
% 2.85/3.24 , Z, Y, T ) }.
% 2.85/3.24 substitution0:
% 2.85/3.24 X := X
% 2.85/3.24 Y := Z
% 2.85/3.24 Z := Y
% 2.85/3.24 T := T
% 2.85/3.24 end
% 2.85/3.24 permutation0:
% 2.85/3.24 0 ==> 1
% 2.85/3.24 1 ==> 0
% 2.85/3.24 end
% 2.85/3.24
% 2.85/3.24 resolution: (20615) {G1,W10,D2,L2,V4,M2} { cyclic( X, Z, Y, T ), ! cyclic
% 2.85/3.24 ( Y, X, Z, T ) }.
% 2.85/3.24 parent0[0]: (14) {G0,W10,D2,L2,V4,M2} I { ! cyclic( X, Y, Z, T ), cyclic( X
% 2.85/3.24 , Z, Y, T ) }.
% 2.85/3.24 parent1[1]: (15) {G0,W10,D2,L2,V4,M2} I { ! cyclic( X, Y, Z, T ), cyclic( Y
% 2.85/3.24 , X, Z, T ) }.
% 2.85/3.24 substitution0:
% 2.85/3.24 X := X
% 2.85/3.24 Y := Y
% 2.85/3.24 Z := Z
% 2.85/3.24 T := T
% 2.85/3.24 end
% 2.85/3.24 substitution1:
% 2.85/3.24 X := Y
% 2.85/3.24 Y := X
% 2.85/3.24 Z := Z
% 2.85/3.24 T := T
% 2.85/3.24 end
% 2.85/3.24
% 2.85/3.24 subsumption: (357) {G1,W10,D2,L2,V4,M2} R(15,14) { ! cyclic( X, Y, Z, T ),
% 2.85/3.24 cyclic( Y, Z, X, T ) }.
% 2.85/3.24 parent0: (20615) {G1,W10,D2,L2,V4,M2} { cyclic( X, Z, Y, T ), ! cyclic( Y
% 2.85/3.24 , X, Z, T ) }.
% 2.85/3.24 substitution0:
% 2.85/3.24 X := Y
% 2.85/3.24 Y := X
% 2.85/3.24 Z := Z
% 2.85/3.24 T := T
% 2.85/3.24 end
% 2.85/3.24 permutation0:
% 2.85/3.24 0 ==> 1
% 2.85/3.24 1 ==> 0
% 2.85/3.24 end
% 2.85/3.24
% 2.85/3.24 resolution: (20616) {G1,W5,D2,L1,V0,M1} { ! cyclic( skol22, skol20, skol23
% 2.85/3.24 , skol24 ) }.
% 2.85/3.24 parent0[0]: (339) {G1,W5,D2,L1,V0,M1} R(13,122) { ! cyclic( skol20, skol22
% 2.85/3.24 , skol23, skol24 ) }.
% 2.85/3.24 parent1[1]: (15) {G0,W10,D2,L2,V4,M2} I { ! cyclic( X, Y, Z, T ), cyclic( Y
% 2.85/3.24 , X, Z, T ) }.
% 2.85/3.24 substitution0:
% 2.85/3.24 end
% 2.85/3.24 substitution1:
% 2.85/3.24 X := skol22
% 2.85/3.24 Y := skol20
% 2.85/3.24 Z := skol23
% 2.85/3.24 T := skol24
% 2.85/3.24 end
% 2.85/3.24
% 2.85/3.24 subsumption: (358) {G2,W5,D2,L1,V0,M1} R(15,339) { ! cyclic( skol22, skol20
% 2.85/3.24 , skol23, skol24 ) }.
% 2.85/3.24 parent0: (20616) {G1,W5,D2,L1,V0,M1} { ! cyclic( skol22, skol20, skol23,
% 2.85/3.24 skol24 ) }.
% 2.85/3.24 substitution0:
% 2.85/3.24 end
% 2.85/3.24 permutation0:
% 2.85/3.24 0 ==> 0
% 2.85/3.24 end
% 2.85/3.24
% 2.85/3.24 resolution: (20618) {G1,W15,D2,L3,V5,M3} { ! cyclic( X, Y, Z, T ), cyclic
% 2.85/3.24 ( Y, Z, T, U ), ! cyclic( X, Y, U, Z ) }.
% 2.85/3.24 parent0[1]: (16) {G0,W15,D2,L3,V5,M3} I { ! cyclic( U, X, Y, Z ), ! cyclic
% 2.85/3.24 ( U, X, Y, T ), cyclic( X, Y, Z, T ) }.
% 2.85/3.24 parent1[1]: (13) {G0,W10,D2,L2,V4,M2} I { ! cyclic( X, Y, Z, T ), cyclic( X
% 2.85/3.24 , Y, T, Z ) }.
% 2.85/3.24 substitution0:
% 2.85/3.24 X := Y
% 2.85/3.24 Y := Z
% 2.85/3.24 Z := T
% 2.85/3.24 T := U
% 2.85/3.24 U := X
% 2.85/3.24 end
% 2.85/3.24 substitution1:
% 2.85/3.24 X := X
% 2.85/3.24 Y := Y
% 2.85/3.24 Z := U
% 2.85/3.24 T := Z
% 2.85/3.24 end
% 2.85/3.24
% 2.85/3.24 subsumption: (388) {G1,W15,D2,L3,V5,M3} R(16,13) { ! cyclic( X, Y, Z, T ),
% 2.85/3.24 cyclic( Y, Z, T, U ), ! cyclic( X, Y, U, Z ) }.
% 2.85/3.24 parent0: (20618) {G1,W15,D2,L3,V5,M3} { ! cyclic( X, Y, Z, T ), cyclic( Y
% 2.85/3.24 , Z, T, U ), ! cyclic( X, Y, U, Z ) }.
% 2.85/3.24 substitution0:
% 2.85/3.24 X := X
% 2.85/3.24 Y := Y
% 2.85/3.24 Z := Z
% 2.85/3.24 T := T
% 2.85/3.24 U := U
% 2.85/3.24 end
% 2.85/3.24 permutation0:
% 2.85/3.24 0 ==> 0
% 2.85/3.24 1 ==> 1
% 2.85/3.24 2 ==> 2
% 2.85/3.24 end
% 2.85/3.24
% 2.85/3.24 resolution: (20621) {G1,W18,D2,L2,V8,M2} { eqangle( Y, X, Z, T, U, W, V0,
% 2.85/3.24 V1 ), ! eqangle( U, W, V0, V1, X, Y, Z, T ) }.
% 2.85/3.24 parent0[0]: (17) {G0,W18,D2,L2,V8,M2} I { ! eqangle( X, Y, Z, T, U, W, V0,
% 2.85/3.24 V1 ), eqangle( Y, X, Z, T, U, W, V0, V1 ) }.
% 2.85/3.24 parent1[1]: (19) {G0,W18,D2,L2,V8,M2} I { ! eqangle( X, Y, Z, T, U, W, V0,
% 2.85/3.24 V1 ), eqangle( U, W, V0, V1, X, Y, Z, T ) }.
% 2.85/3.24 substitution0:
% 2.85/3.24 X := X
% 2.85/3.24 Y := Y
% 2.85/3.24 Z := Z
% 2.85/3.24 T := T
% 2.85/3.24 U := U
% 2.85/3.24 W := W
% 2.85/3.24 V0 := V0
% 2.85/3.24 V1 := V1
% 2.85/3.24 end
% 2.85/3.24 substitution1:
% 2.85/3.24 X := U
% 2.85/3.24 Y := W
% 2.85/3.24 Z := V0
% 2.85/3.24 T := V1
% 2.85/3.24 U := X
% 2.85/3.24 W := Y
% 2.85/3.24 V0 := Z
% 2.85/3.24 V1 := T
% 2.85/3.24 end
% 2.85/3.24
% 2.85/3.24 subsumption: (412) {G1,W18,D2,L2,V8,M2} R(19,17) { ! eqangle( X, Y, Z, T, U
% 2.85/3.24 , W, V0, V1 ), eqangle( W, U, V0, V1, X, Y, Z, T ) }.
% 2.85/3.24 parent0: (20621) {G1,W18,D2,L2,V8,M2} { eqangle( Y, X, Z, T, U, W, V0, V1
% 2.85/3.24 ), ! eqangle( U, W, V0, V1, X, Y, Z, T ) }.
% 2.85/3.24 substitution0:
% 2.85/3.24 X := U
% 2.85/3.24 Y := W
% 2.85/3.24 Z := V0
% 2.85/3.24 T := V1
% 2.85/3.24 U := X
% 2.85/3.24 W := Y
% 2.85/3.24 V0 := Z
% 2.85/3.24 V1 := T
% 2.85/3.24 end
% 2.85/3.24 permutation0:
% 2.85/3.24 0 ==> 1
% 2.85/3.24 1 ==> 0
% 2.85/3.24 end
% 2.85/3.24
% 2.85/3.24 resolution: (20622) {G1,W10,D2,L2,V1,M2} { ! cyclic( X, skol22, skol20,
% 2.85/3.24 skol23 ), ! cyclic( X, skol22, skol20, skol24 ) }.
% 2.85/3.24 parent0[0]: (358) {G2,W5,D2,L1,V0,M1} R(15,339) { ! cyclic( skol22, skol20
% 2.85/3.24 , skol23, skol24 ) }.
% 2.85/3.24 parent1[2]: (16) {G0,W15,D2,L3,V5,M3} I { ! cyclic( U, X, Y, Z ), ! cyclic
% 2.85/3.24 ( U, X, Y, T ), cyclic( X, Y, Z, T ) }.
% 2.85/3.24 substitution0:
% 2.85/3.24 end
% 2.85/3.24 substitution1:
% 2.85/3.24 X := skol22
% 2.85/3.24 Y := skol20
% 2.85/3.24 Z := skol23
% 2.85/3.24 T := skol24
% 2.85/3.24 U := X
% 2.85/3.24 end
% 2.85/3.24
% 2.85/3.24 subsumption: (413) {G3,W10,D2,L2,V1,M2} R(358,16) { ! cyclic( X, skol22,
% 2.85/3.24 skol20, skol23 ), ! cyclic( X, skol22, skol20, skol24 ) }.
% 2.85/3.24 parent0: (20622) {G1,W10,D2,L2,V1,M2} { ! cyclic( X, skol22, skol20,
% 2.85/3.24 skol23 ), ! cyclic( X, skol22, skol20, skol24 ) }.
% 2.85/3.24 substitution0:
% 2.85/3.24 X := X
% 2.85/3.24 end
% 2.85/3.24 permutation0:
% 2.85/3.24 0 ==> 0
% 2.85/3.24 1 ==> 1
% 2.85/3.24 end
% 2.85/3.24
% 2.85/3.24 resolution: (20623) {G1,W18,D2,L2,V8,M2} { eqangle( X, Y, U, W, Z, T, V0,
% 2.85/3.24 V1 ), ! eqangle( Y, X, Z, T, U, W, V0, V1 ) }.
% 2.85/3.24 parent0[0]: (20) {G0,W18,D2,L2,V8,M2} I { ! eqangle( X, Y, Z, T, U, W, V0,
% 2.85/3.24 V1 ), eqangle( X, Y, U, W, Z, T, V0, V1 ) }.
% 2.85/3.24 parent1[1]: (17) {G0,W18,D2,L2,V8,M2} I { ! eqangle( X, Y, Z, T, U, W, V0,
% 2.85/3.24 V1 ), eqangle( Y, X, Z, T, U, W, V0, V1 ) }.
% 2.85/3.24 substitution0:
% 2.85/3.24 X := X
% 2.85/3.24 Y := Y
% 2.85/3.24 Z := Z
% 2.85/3.24 T := T
% 2.85/3.24 U := U
% 2.85/3.24 W := W
% 2.85/3.24 V0 := V0
% 2.85/3.24 V1 := V1
% 2.85/3.24 end
% 2.85/3.24 substitution1:
% 2.85/3.24 X := Y
% 2.85/3.24 Y := X
% 2.85/3.24 Z := Z
% 2.85/3.24 T := T
% 2.85/3.24 U := U
% 2.85/3.24 W := W
% 2.85/3.24 V0 := V0
% 2.85/3.24 V1 := V1
% 2.85/3.24 end
% 2.85/3.24
% 2.85/3.24 subsumption: (424) {G1,W18,D2,L2,V8,M2} R(20,17) { eqangle( X, Y, Z, T, U,
% 2.85/3.24 W, V0, V1 ), ! eqangle( Y, X, U, W, Z, T, V0, V1 ) }.
% 2.85/3.24 parent0: (20623) {G1,W18,D2,L2,V8,M2} { eqangle( X, Y, U, W, Z, T, V0, V1
% 2.85/3.24 ), ! eqangle( Y, X, Z, T, U, W, V0, V1 ) }.
% 2.85/3.24 substitution0:
% 2.85/3.24 X := X
% 2.85/3.24 Y := Y
% 2.85/3.24 Z := U
% 2.85/3.24 T := W
% 2.85/3.24 U := Z
% 2.85/3.24 W := T
% 2.85/3.24 V0 := V0
% 2.85/3.24 V1 := V1
% 2.85/3.24 end
% 2.85/3.24 permutation0:
% 2.85/3.24 0 ==> 0
% 2.85/3.24 1 ==> 1
% 2.85/3.24 end
% 2.85/3.24
% 2.85/3.24 resolution: (20625) {G1,W8,D2,L2,V3,M2} { coll( Y, X, X ), ! coll( X, Z, Y
% 2.85/3.24 ) }.
% 2.85/3.24 parent0[0]: (1) {G0,W8,D2,L2,V3,M2} I { ! coll( X, Y, Z ), coll( Y, X, Z )
% 2.85/3.24 }.
% 2.85/3.24 parent1[0]: (224) {G4,W8,D2,L2,V3,M2} F(211) { coll( X, Y, X ), ! coll( X,
% 2.85/3.24 Z, Y ) }.
% 2.85/3.24 substitution0:
% 2.85/3.24 X := X
% 2.85/3.24 Y := Y
% 2.85/3.24 Z := X
% 2.85/3.24 end
% 2.85/3.24 substitution1:
% 2.85/3.24 X := X
% 2.85/3.24 Y := Y
% 2.85/3.24 Z := Z
% 2.85/3.24 end
% 2.85/3.24
% 2.85/3.24 subsumption: (503) {G5,W8,D2,L2,V3,M2} R(224,1) { ! coll( X, Y, Z ), coll(
% 2.85/3.24 Z, X, X ) }.
% 2.85/3.24 parent0: (20625) {G1,W8,D2,L2,V3,M2} { coll( Y, X, X ), ! coll( X, Z, Y )
% 2.85/3.24 }.
% 2.85/3.24 substitution0:
% 2.85/3.24 X := X
% 2.85/3.24 Y := Z
% 2.85/3.24 Z := Y
% 2.85/3.24 end
% 2.85/3.24 permutation0:
% 2.85/3.24 0 ==> 1
% 2.85/3.24 1 ==> 0
% 2.85/3.24 end
% 2.85/3.24
% 2.85/3.24 resolution: (20626) {G1,W8,D2,L2,V3,M2} { coll( Z, X, X ), ! coll( Y, X, Z
% 2.85/3.24 ) }.
% 2.85/3.24 parent0[0]: (503) {G5,W8,D2,L2,V3,M2} R(224,1) { ! coll( X, Y, Z ), coll( Z
% 2.85/3.24 , X, X ) }.
% 2.85/3.24 parent1[1]: (1) {G0,W8,D2,L2,V3,M2} I { ! coll( X, Y, Z ), coll( Y, X, Z )
% 2.85/3.24 }.
% 2.85/3.24 substitution0:
% 2.85/3.24 X := X
% 2.85/3.24 Y := Y
% 2.85/3.24 Z := Z
% 2.85/3.24 end
% 2.85/3.24 substitution1:
% 2.85/3.24 X := Y
% 2.85/3.24 Y := X
% 2.85/3.24 Z := Z
% 2.85/3.24 end
% 2.85/3.24
% 2.85/3.24 subsumption: (523) {G6,W8,D2,L2,V3,M2} R(503,1) { coll( X, Y, Y ), ! coll(
% 2.85/3.24 Z, Y, X ) }.
% 2.85/3.24 parent0: (20626) {G1,W8,D2,L2,V3,M2} { coll( Z, X, X ), ! coll( Y, X, Z )
% 2.85/3.24 }.
% 2.85/3.24 substitution0:
% 2.85/3.24 X := Y
% 2.85/3.24 Y := Z
% 2.85/3.24 Z := X
% 2.85/3.24 end
% 2.85/3.24 permutation0:
% 2.85/3.24 0 ==> 0
% 2.85/3.24 1 ==> 1
% 2.85/3.24 end
% 2.85/3.24
% 2.85/3.24 resolution: (20627) {G1,W8,D2,L2,V3,M2} { coll( Z, X, X ), ! coll( X, Z, Y
% 2.85/3.24 ) }.
% 2.85/3.24 parent0[0]: (503) {G5,W8,D2,L2,V3,M2} R(224,1) { ! coll( X, Y, Z ), coll( Z
% 2.85/3.24 , X, X ) }.
% 2.85/3.24 parent1[1]: (0) {G0,W8,D2,L2,V3,M2} I { ! coll( X, Y, Z ), coll( X, Z, Y )
% 2.85/3.24 }.
% 2.85/3.24 substitution0:
% 2.85/3.24 X := X
% 2.85/3.24 Y := Y
% 2.85/3.24 Z := Z
% 2.85/3.24 end
% 2.85/3.24 substitution1:
% 2.85/3.24 X := X
% 2.85/3.24 Y := Z
% 2.85/3.24 Z := Y
% 2.85/3.24 end
% 2.85/3.24
% 2.85/3.24 subsumption: (524) {G6,W8,D2,L2,V3,M2} R(503,0) { coll( X, Y, Y ), ! coll(
% 2.85/3.24 Y, X, Z ) }.
% 2.85/3.24 parent0: (20627) {G1,W8,D2,L2,V3,M2} { coll( Z, X, X ), ! coll( X, Z, Y )
% 2.85/3.24 }.
% 2.85/3.24 substitution0:
% 2.85/3.24 X := Y
% 2.85/3.24 Y := Z
% 2.85/3.24 Z := X
% 2.85/3.24 end
% 2.85/3.24 permutation0:
% 2.85/3.24 0 ==> 0
% 2.85/3.24 1 ==> 1
% 2.85/3.24 end
% 2.85/3.24
% 2.85/3.24 resolution: (20629) {G6,W8,D2,L2,V3,M2} { coll( Y, X, X ), ! coll( Z, Y, X
% 2.85/3.24 ) }.
% 2.85/3.24 parent0[0]: (503) {G5,W8,D2,L2,V3,M2} R(224,1) { ! coll( X, Y, Z ), coll( Z
% 2.85/3.24 , X, X ) }.
% 2.85/3.24 parent1[0]: (523) {G6,W8,D2,L2,V3,M2} R(503,1) { coll( X, Y, Y ), ! coll( Z
% 2.85/3.24 , Y, X ) }.
% 2.85/3.24 substitution0:
% 2.85/3.24 X := X
% 2.85/3.24 Y := Y
% 2.85/3.24 Z := Y
% 2.85/3.24 end
% 2.85/3.24 substitution1:
% 2.85/3.24 X := X
% 2.85/3.24 Y := Y
% 2.85/3.24 Z := Z
% 2.85/3.24 end
% 2.85/3.24
% 2.85/3.24 subsumption: (525) {G7,W8,D2,L2,V3,M2} R(523,503) { ! coll( X, Y, Z ), coll
% 2.85/3.24 ( Y, Z, Z ) }.
% 2.85/3.24 parent0: (20629) {G6,W8,D2,L2,V3,M2} { coll( Y, X, X ), ! coll( Z, Y, X )
% 2.85/3.24 }.
% 2.85/3.24 substitution0:
% 2.85/3.24 X := Z
% 2.85/3.24 Y := Y
% 2.85/3.24 Z := X
% 2.85/3.24 end
% 2.85/3.24 permutation0:
% 2.85/3.24 0 ==> 1
% 2.85/3.24 1 ==> 0
% 2.85/3.24 end
% 2.85/3.24
% 2.85/3.24 resolution: (20630) {G7,W8,D2,L2,V3,M2} { coll( X, Y, Y ), ! coll( X, Y, Z
% 2.85/3.24 ) }.
% 2.85/3.24 parent0[1]: (524) {G6,W8,D2,L2,V3,M2} R(503,0) { coll( X, Y, Y ), ! coll( Y
% 2.85/3.24 , X, Z ) }.
% 2.85/3.24 parent1[0]: (524) {G6,W8,D2,L2,V3,M2} R(503,0) { coll( X, Y, Y ), ! coll( Y
% 2.85/3.24 , X, Z ) }.
% 2.85/3.24 substitution0:
% 2.85/3.24 X := X
% 2.85/3.24 Y := Y
% 2.85/3.24 Z := X
% 2.85/3.24 end
% 2.85/3.24 substitution1:
% 2.85/3.24 X := Y
% 2.85/3.24 Y := X
% 2.85/3.24 Z := Z
% 2.85/3.24 end
% 2.85/3.24
% 2.85/3.24 subsumption: (528) {G7,W8,D2,L2,V3,M2} R(524,524) { ! coll( X, Y, Z ), coll
% 2.85/3.24 ( X, Y, Y ) }.
% 2.85/3.24 parent0: (20630) {G7,W8,D2,L2,V3,M2} { coll( X, Y, Y ), ! coll( X, Y, Z )
% 2.85/3.24 }.
% 2.85/3.24 substitution0:
% 2.85/3.24 X := X
% 2.85/3.24 Y := Y
% 2.85/3.24 Z := Z
% 2.85/3.24 end
% 2.85/3.24 permutation0:
% 2.85/3.24 0 ==> 1
% 2.85/3.24 1 ==> 0
% 2.85/3.24 end
% 2.85/3.24
% 2.85/3.24 resolution: (20634) {G1,W12,D2,L3,V4,M3} { ! coll( X, Y, Z ), coll( Z, Y,
% 2.85/3.24 X ), ! coll( X, Y, T ) }.
% 2.85/3.24 parent0[1]: (2) {G0,W12,D2,L3,V4,M3} I { ! coll( X, T, Y ), ! coll( X, T, Z
% 2.85/3.24 ), coll( Y, Z, X ) }.
% 2.85/3.24 parent1[1]: (528) {G7,W8,D2,L2,V3,M2} R(524,524) { ! coll( X, Y, Z ), coll
% 2.85/3.24 ( X, Y, Y ) }.
% 2.85/3.24 substitution0:
% 2.85/3.24 X := X
% 2.85/3.24 Y := Z
% 2.85/3.24 Z := Y
% 2.85/3.24 T := Y
% 2.85/3.24 end
% 2.85/3.24 substitution1:
% 2.85/3.24 X := X
% 2.85/3.24 Y := Y
% 2.85/3.24 Z := T
% 2.85/3.24 end
% 2.85/3.24
% 2.85/3.24 subsumption: (531) {G8,W12,D2,L3,V4,M3} R(528,2) { ! coll( X, Y, Z ), !
% 2.85/3.24 coll( X, Y, T ), coll( T, Y, X ) }.
% 2.85/3.24 parent0: (20634) {G1,W12,D2,L3,V4,M3} { ! coll( X, Y, Z ), coll( Z, Y, X )
% 2.85/3.24 , ! coll( X, Y, T ) }.
% 2.85/3.24 substitution0:
% 2.85/3.24 X := X
% 2.85/3.24 Y := Y
% 2.85/3.24 Z := T
% 2.85/3.24 T := Z
% 2.85/3.24 end
% 2.85/3.24 permutation0:
% 2.85/3.24 0 ==> 1
% 2.85/3.24 1 ==> 2
% 2.85/3.24 2 ==> 0
% 2.85/3.24 end
% 2.85/3.24
% 2.85/3.24 factor: (20637) {G8,W8,D2,L2,V3,M2} { ! coll( X, Y, Z ), coll( Z, Y, X )
% 2.85/3.24 }.
% 2.85/3.24 parent0[0, 1]: (531) {G8,W12,D2,L3,V4,M3} R(528,2) { ! coll( X, Y, Z ), !
% 2.85/3.24 coll( X, Y, T ), coll( T, Y, X ) }.
% 2.85/3.24 substitution0:
% 2.85/3.24 X := X
% 2.85/3.24 Y := Y
% 2.85/3.24 Z := Z
% 2.85/3.24 T := Z
% 2.85/3.24 end
% 2.85/3.24
% 2.85/3.24 subsumption: (532) {G9,W8,D2,L2,V3,M2} F(531) { ! coll( X, Y, Z ), coll( Z
% 2.85/3.24 , Y, X ) }.
% 2.85/3.24 parent0: (20637) {G8,W8,D2,L2,V3,M2} { ! coll( X, Y, Z ), coll( Z, Y, X )
% 2.85/3.24 }.
% 2.85/3.24 substitution0:
% 2.85/3.24 X := X
% 2.85/3.24 Y := Y
% 2.85/3.24 Z := Z
% 2.85/3.24 end
% 2.85/3.24 permutation0:
% 2.85/3.24 0 ==> 0
% 2.85/3.24 1 ==> 1
% 2.85/3.24 end
% 2.85/3.24
% 2.85/3.24 resolution: (20638) {G8,W8,D2,L2,V3,M2} { coll( Y, Y, X ), ! coll( Z, X, Y
% 2.85/3.24 ) }.
% 2.85/3.24 parent0[0]: (532) {G9,W8,D2,L2,V3,M2} F(531) { ! coll( X, Y, Z ), coll( Z,
% 2.85/3.24 Y, X ) }.
% 2.85/3.24 parent1[1]: (525) {G7,W8,D2,L2,V3,M2} R(523,503) { ! coll( X, Y, Z ), coll
% 2.85/3.24 ( Y, Z, Z ) }.
% 2.85/3.24 substitution0:
% 2.85/3.24 X := X
% 2.85/3.24 Y := Y
% 2.85/3.24 Z := Y
% 2.85/3.24 end
% 2.85/3.24 substitution1:
% 2.85/3.24 X := Z
% 2.85/3.24 Y := X
% 2.85/3.24 Z := Y
% 2.85/3.24 end
% 2.85/3.24
% 2.85/3.24 subsumption: (535) {G10,W8,D2,L2,V3,M2} R(532,525) { coll( X, X, Y ), !
% 2.85/3.24 coll( Z, Y, X ) }.
% 2.85/3.24 parent0: (20638) {G8,W8,D2,L2,V3,M2} { coll( Y, Y, X ), ! coll( Z, X, Y )
% 2.85/3.24 }.
% 2.85/3.24 substitution0:
% 2.85/3.24 X := Y
% 2.85/3.24 Y := X
% 2.85/3.24 Z := Z
% 2.85/3.24 end
% 2.85/3.24 permutation0:
% 2.85/3.24 0 ==> 0
% 2.85/3.24 1 ==> 1
% 2.85/3.24 end
% 2.85/3.24
% 2.85/3.24 resolution: (20639) {G7,W8,D2,L2,V3,M2} { coll( Y, Y, X ), ! coll( Z, Y, X
% 2.85/3.24 ) }.
% 2.85/3.24 parent0[0]: (532) {G9,W8,D2,L2,V3,M2} F(531) { ! coll( X, Y, Z ), coll( Z,
% 2.85/3.24 Y, X ) }.
% 2.85/3.24 parent1[0]: (523) {G6,W8,D2,L2,V3,M2} R(503,1) { coll( X, Y, Y ), ! coll( Z
% 2.85/3.24 , Y, X ) }.
% 2.85/3.24 substitution0:
% 2.85/3.24 X := X
% 2.85/3.24 Y := Y
% 2.85/3.24 Z := Y
% 2.85/3.24 end
% 2.85/3.24 substitution1:
% 2.85/3.24 X := X
% 2.85/3.24 Y := Y
% 2.85/3.24 Z := Z
% 2.85/3.24 end
% 2.85/3.24
% 2.85/3.24 subsumption: (536) {G10,W8,D2,L2,V3,M2} R(532,523) { coll( X, X, Y ), !
% 2.85/3.24 coll( Z, X, Y ) }.
% 2.85/3.24 parent0: (20639) {G7,W8,D2,L2,V3,M2} { coll( Y, Y, X ), ! coll( Z, Y, X )
% 2.85/3.24 }.
% 2.85/3.24 substitution0:
% 2.85/3.24 X := Y
% 2.85/3.24 Y := X
% 2.85/3.24 Z := Z
% 2.85/3.24 end
% 2.85/3.24 permutation0:
% 2.85/3.24 0 ==> 0
% 2.85/3.24 1 ==> 1
% 2.85/3.24 end
% 2.85/3.24
% 2.85/3.24 resolution: (20640) {G1,W8,D2,L2,V3,M2} { coll( X, Y, Z ), ! midp( Y, Z, X
% 2.85/3.24 ) }.
% 2.85/3.24 parent0[1]: (164) {G1,W8,D2,L2,V3,M2} R(1,0) { coll( X, Y, Z ), ! coll( Y,
% 2.85/3.24 Z, X ) }.
% 2.85/3.24 parent1[1]: (69) {G0,W8,D2,L2,V3,M2} I { ! midp( X, Y, Z ), coll( X, Y, Z )
% 2.85/3.24 }.
% 2.85/3.24 substitution0:
% 2.85/3.24 X := X
% 2.85/3.24 Y := Y
% 2.85/3.24 Z := Z
% 2.85/3.24 end
% 2.85/3.24 substitution1:
% 2.85/3.24 X := Y
% 2.85/3.24 Y := Z
% 2.85/3.24 Z := X
% 2.85/3.24 end
% 2.85/3.24
% 2.85/3.24 subsumption: (565) {G2,W8,D2,L2,V3,M2} R(69,164) { ! midp( X, Y, Z ), coll
% 2.85/3.24 ( Z, X, Y ) }.
% 2.85/3.24 parent0: (20640) {G1,W8,D2,L2,V3,M2} { coll( X, Y, Z ), ! midp( Y, Z, X )
% 2.85/3.24 }.
% 2.85/3.24 substitution0:
% 2.85/3.24 X := Z
% 2.85/3.24 Y := X
% 2.85/3.24 Z := Y
% 2.85/3.24 end
% 2.85/3.24 permutation0:
% 2.85/3.24 0 ==> 1
% 2.85/3.24 1 ==> 0
% 2.85/3.24 end
% 2.85/3.24
% 2.85/3.24 resolution: (20641) {G1,W8,D2,L2,V3,M2} { coll( X, X, Y ), ! midp( Z, X, Y
% 2.85/3.24 ) }.
% 2.85/3.24 parent0[1]: (536) {G10,W8,D2,L2,V3,M2} R(532,523) { coll( X, X, Y ), ! coll
% 2.85/3.24 ( Z, X, Y ) }.
% 2.85/3.24 parent1[1]: (69) {G0,W8,D2,L2,V3,M2} I { ! midp( X, Y, Z ), coll( X, Y, Z )
% 2.85/3.24 }.
% 2.85/3.24 substitution0:
% 2.85/3.24 X := X
% 2.85/3.24 Y := Y
% 2.85/3.24 Z := Z
% 2.85/3.24 end
% 2.85/3.24 substitution1:
% 2.85/3.24 X := Z
% 2.85/3.24 Y := X
% 2.85/3.24 Z := Y
% 2.85/3.24 end
% 2.85/3.24
% 2.85/3.24 subsumption: (572) {G11,W8,D2,L2,V3,M2} R(69,536) { ! midp( X, Y, Z ), coll
% 2.85/3.24 ( Y, Y, Z ) }.
% 2.85/3.24 parent0: (20641) {G1,W8,D2,L2,V3,M2} { coll( X, X, Y ), ! midp( Z, X, Y )
% 2.85/3.24 }.
% 2.85/3.24 substitution0:
% 2.85/3.24 X := Y
% 2.85/3.24 Y := Z
% 2.85/3.24 Z := X
% 2.85/3.24 end
% 2.85/3.24 permutation0:
% 2.85/3.24 0 ==> 1
% 2.85/3.24 1 ==> 0
% 2.85/3.24 end
% 2.85/3.24
% 2.85/3.24 resolution: (20642) {G1,W4,D2,L1,V0,M1} { coll( skol27, skol25, skol26 )
% 2.85/3.24 }.
% 2.85/3.24 parent0[0]: (69) {G0,W8,D2,L2,V3,M2} I { ! midp( X, Y, Z ), coll( X, Y, Z )
% 2.85/3.24 }.
% 2.85/3.24 parent1[0]: (316) {G1,W4,D2,L1,V0,M1} R(10,117) { midp( skol27, skol25,
% 2.85/3.24 skol26 ) }.
% 2.85/3.24 substitution0:
% 2.85/3.24 X := skol27
% 2.85/3.24 Y := skol25
% 2.85/3.24 Z := skol26
% 2.85/3.24 end
% 2.85/3.24 substitution1:
% 2.85/3.24 end
% 2.85/3.24
% 2.85/3.24 subsumption: (586) {G2,W4,D2,L1,V0,M1} R(69,316) { coll( skol27, skol25,
% 2.85/3.24 skol26 ) }.
% 2.85/3.24 parent0: (20642) {G1,W4,D2,L1,V0,M1} { coll( skol27, skol25, skol26 ) }.
% 2.85/3.24 substitution0:
% 2.85/3.24 end
% 2.85/3.24 permutation0:
% 2.85/3.24 0 ==> 0
% 2.85/3.24 end
% 2.85/3.24
% 2.85/3.24 resolution: (20643) {G1,W8,D2,L2,V3,M2} { coll( Y, X, Z ), ! midp( X, Y, Z
% 2.85/3.24 ) }.
% 2.85/3.24 parent0[0]: (1) {G0,W8,D2,L2,V3,M2} I { ! coll( X, Y, Z ), coll( Y, X, Z )
% 2.85/3.24 }.
% 2.85/3.24 parent1[1]: (69) {G0,W8,D2,L2,V3,M2} I { ! midp( X, Y, Z ), coll( X, Y, Z )
% 2.85/3.24 }.
% 2.85/3.24 substitution0:
% 2.85/3.24 X := X
% 2.85/3.24 Y := Y
% 2.85/3.24 Z := Z
% 2.85/3.24 end
% 2.85/3.24 substitution1:
% 2.85/3.24 X := X
% 2.85/3.24 Y := Y
% 2.85/3.24 Z := Z
% 2.85/3.24 end
% 2.85/3.24
% 2.85/3.24 subsumption: (591) {G1,W8,D2,L2,V3,M2} R(69,1) { ! midp( X, Y, Z ), coll( Y
% 2.85/3.24 , X, Z ) }.
% 2.85/3.24 parent0: (20643) {G1,W8,D2,L2,V3,M2} { coll( Y, X, Z ), ! midp( X, Y, Z )
% 2.85/3.24 }.
% 2.85/3.24 substitution0:
% 2.85/3.24 X := X
% 2.85/3.24 Y := Y
% 2.85/3.24 Z := Z
% 2.85/3.24 end
% 2.85/3.24 permutation0:
% 2.85/3.24 0 ==> 1
% 2.85/3.24 1 ==> 0
% 2.85/3.24 end
% 2.85/3.24
% 2.85/3.24 resolution: (20644) {G1,W4,D2,L1,V0,M1} { coll( skol27, skol26, skol25 )
% 2.85/3.24 }.
% 2.85/3.24 parent0[0]: (69) {G0,W8,D2,L2,V3,M2} I { ! midp( X, Y, Z ), coll( X, Y, Z )
% 2.85/3.24 }.
% 2.85/3.24 parent1[0]: (117) {G0,W4,D2,L1,V0,M1} I { midp( skol27, skol26, skol25 )
% 2.85/3.24 }.
% 2.85/3.24 substitution0:
% 2.85/3.24 X := skol27
% 2.85/3.24 Y := skol26
% 2.85/3.24 Z := skol25
% 2.85/3.24 end
% 2.85/3.24 substitution1:
% 2.85/3.24 end
% 2.85/3.24
% 2.85/3.24 subsumption: (592) {G1,W4,D2,L1,V0,M1} R(69,117) { coll( skol27, skol26,
% 2.85/3.24 skol25 ) }.
% 2.85/3.24 parent0: (20644) {G1,W4,D2,L1,V0,M1} { coll( skol27, skol26, skol25 ) }.
% 2.85/3.24 substitution0:
% 2.85/3.24 end
% 2.85/3.24 permutation0:
% 2.85/3.24 0 ==> 0
% 2.85/3.24 end
% 2.85/3.24
% 2.85/3.24 resolution: (20645) {G3,W4,D2,L1,V0,M1} { coll( skol26, skol25, skol26 )
% 2.88/3.24 }.
% 2.88/3.24 parent0[1]: (217) {G3,W8,D2,L2,V3,M2} R(194,1) { coll( X, Y, X ), ! coll( Z
% 2.88/3.24 , Y, X ) }.
% 2.88/3.24 parent1[0]: (586) {G2,W4,D2,L1,V0,M1} R(69,316) { coll( skol27, skol25,
% 2.88/3.24 skol26 ) }.
% 2.88/3.24 substitution0:
% 2.88/3.24 X := skol26
% 2.88/3.24 Y := skol25
% 2.88/3.24 Z := skol27
% 2.88/3.24 end
% 2.88/3.24 substitution1:
% 2.88/3.24 end
% 2.88/3.24
% 2.88/3.24 subsumption: (597) {G4,W4,D2,L1,V0,M1} R(586,217) { coll( skol26, skol25,
% 2.88/3.24 skol26 ) }.
% 2.88/3.24 parent0: (20645) {G3,W4,D2,L1,V0,M1} { coll( skol26, skol25, skol26 ) }.
% 2.88/3.24 substitution0:
% 2.88/3.24 end
% 2.88/3.24 permutation0:
% 2.88/3.24 0 ==> 0
% 2.88/3.24 end
% 2.88/3.24
% 2.88/3.24 resolution: (20646) {G3,W4,D2,L1,V0,M1} { coll( skol26, skol26, skol25 )
% 2.88/3.24 }.
% 2.88/3.24 parent0[1]: (535) {G10,W8,D2,L2,V3,M2} R(532,525) { coll( X, X, Y ), ! coll
% 2.88/3.24 ( Z, Y, X ) }.
% 2.88/3.24 parent1[0]: (586) {G2,W4,D2,L1,V0,M1} R(69,316) { coll( skol27, skol25,
% 2.88/3.24 skol26 ) }.
% 2.88/3.24 substitution0:
% 2.88/3.24 X := skol26
% 2.88/3.24 Y := skol25
% 2.88/3.24 Z := skol27
% 2.88/3.24 end
% 2.88/3.24 substitution1:
% 2.88/3.24 end
% 2.88/3.24
% 2.88/3.24 subsumption: (602) {G11,W4,D2,L1,V0,M1} R(586,535) { coll( skol26, skol26,
% 2.88/3.24 skol25 ) }.
% 2.88/3.24 parent0: (20646) {G3,W4,D2,L1,V0,M1} { coll( skol26, skol26, skol25 ) }.
% 2.88/3.24 substitution0:
% 2.88/3.24 end
% 2.88/3.24 permutation0:
% 2.88/3.24 0 ==> 0
% 2.88/3.24 end
% 2.88/3.24
% 2.88/3.24 resolution: (20647) {G1,W8,D2,L2,V1,M2} { ! coll( skol27, skol26, X ),
% 2.88/3.24 coll( skol25, X, skol27 ) }.
% 2.88/3.24 parent0[0]: (2) {G0,W12,D2,L3,V4,M3} I { ! coll( X, T, Y ), ! coll( X, T, Z
% 2.88/3.24 ), coll( Y, Z, X ) }.
% 2.88/3.24 parent1[0]: (592) {G1,W4,D2,L1,V0,M1} R(69,117) { coll( skol27, skol26,
% 2.88/3.24 skol25 ) }.
% 2.88/3.24 substitution0:
% 2.88/3.24 X := skol27
% 2.88/3.24 Y := skol25
% 2.88/3.24 Z := X
% 2.88/3.24 T := skol26
% 2.88/3.24 end
% 2.88/3.24 substitution1:
% 2.88/3.24 end
% 2.88/3.24
% 2.88/3.24 subsumption: (670) {G2,W8,D2,L2,V1,M2} R(592,2) { ! coll( skol27, skol26, X
% 2.88/3.24 ), coll( skol25, X, skol27 ) }.
% 2.88/3.24 parent0: (20647) {G1,W8,D2,L2,V1,M2} { ! coll( skol27, skol26, X ), coll(
% 2.88/3.24 skol25, X, skol27 ) }.
% 2.88/3.24 substitution0:
% 2.88/3.24 X := X
% 2.88/3.24 end
% 2.88/3.24 permutation0:
% 2.88/3.24 0 ==> 0
% 2.88/3.24 1 ==> 1
% 2.88/3.24 end
% 2.88/3.24
% 2.88/3.24 resolution: (20649) {G2,W8,D2,L2,V1,M2} { coll( skol25, X, skol27 ), !
% 2.88/3.24 coll( X, skol27, skol26 ) }.
% 2.88/3.24 parent0[0]: (670) {G2,W8,D2,L2,V1,M2} R(592,2) { ! coll( skol27, skol26, X
% 2.88/3.24 ), coll( skol25, X, skol27 ) }.
% 2.88/3.24 parent1[1]: (165) {G1,W8,D2,L2,V3,M2} R(1,0) { ! coll( X, Y, Z ), coll( Y,
% 2.88/3.24 Z, X ) }.
% 2.88/3.24 substitution0:
% 2.88/3.24 X := X
% 2.88/3.24 end
% 2.88/3.24 substitution1:
% 2.88/3.24 X := X
% 2.88/3.24 Y := skol27
% 2.88/3.24 Z := skol26
% 2.88/3.24 end
% 2.88/3.24
% 2.88/3.24 subsumption: (791) {G3,W8,D2,L2,V1,M2} R(670,165) { coll( skol25, X, skol27
% 2.88/3.24 ), ! coll( X, skol27, skol26 ) }.
% 2.88/3.24 parent0: (20649) {G2,W8,D2,L2,V1,M2} { coll( skol25, X, skol27 ), ! coll(
% 2.88/3.24 X, skol27, skol26 ) }.
% 2.88/3.24 substitution0:
% 2.88/3.24 X := X
% 2.88/3.24 end
% 2.88/3.24 permutation0:
% 2.88/3.24 0 ==> 0
% 2.88/3.24 1 ==> 1
% 2.88/3.24 end
% 2.88/3.24
% 2.88/3.24 resolution: (20650) {G1,W14,D2,L3,V3,M3} { ! coll( X, X, Z ), cyclic( Y, Z
% 2.88/3.24 , X, X ), ! para( X, Y, X, Y ) }.
% 2.88/3.24 parent0[0]: (42) {G0,W18,D2,L3,V4,M3} I { ! eqangle( Z, X, Z, Y, T, X, T, Y
% 2.88/3.24 ), ! coll( Z, T, Y ), cyclic( X, Y, Z, T ) }.
% 2.88/3.24 parent1[1]: (39) {G0,W14,D2,L2,V6,M2} I { ! para( X, Y, Z, T ), eqangle( X
% 2.88/3.24 , Y, U, W, Z, T, U, W ) }.
% 2.88/3.24 substitution0:
% 2.88/3.24 X := Y
% 2.88/3.24 Y := Z
% 2.88/3.24 Z := X
% 2.88/3.24 T := X
% 2.88/3.24 end
% 2.88/3.24 substitution1:
% 2.88/3.24 X := X
% 2.88/3.24 Y := Y
% 2.88/3.24 Z := X
% 2.88/3.24 T := Y
% 2.88/3.24 U := X
% 2.88/3.24 W := Z
% 2.88/3.24 end
% 2.88/3.24
% 2.88/3.24 subsumption: (810) {G1,W14,D2,L3,V3,M3} R(42,39) { ! coll( X, X, Y ),
% 2.88/3.24 cyclic( Z, Y, X, X ), ! para( X, Z, X, Z ) }.
% 2.88/3.24 parent0: (20650) {G1,W14,D2,L3,V3,M3} { ! coll( X, X, Z ), cyclic( Y, Z, X
% 2.88/3.25 , X ), ! para( X, Y, X, Y ) }.
% 2.88/3.25 substitution0:
% 2.88/3.25 X := X
% 2.88/3.25 Y := Z
% 2.88/3.25 Z := Y
% 2.88/3.25 end
% 2.88/3.25 permutation0:
% 2.88/3.25 0 ==> 0
% 2.88/3.25 1 ==> 1
% 2.88/3.25 2 ==> 2
% 2.88/3.25 end
% 2.88/3.25
% 2.88/3.25 resolution: (20652) {G2,W8,D2,L2,V1,M2} { coll( X, skol27, skol25 ), !
% 2.88/3.25 coll( X, skol27, skol26 ) }.
% 2.88/3.25 parent0[0]: (165) {G1,W8,D2,L2,V3,M2} R(1,0) { ! coll( X, Y, Z ), coll( Y,
% 2.88/3.25 Z, X ) }.
% 2.88/3.25 parent1[0]: (791) {G3,W8,D2,L2,V1,M2} R(670,165) { coll( skol25, X, skol27
% 2.88/3.25 ), ! coll( X, skol27, skol26 ) }.
% 2.88/3.25 substitution0:
% 2.88/3.25 X := skol25
% 2.88/3.25 Y := X
% 2.88/3.25 Z := skol27
% 2.88/3.25 end
% 2.88/3.25 substitution1:
% 2.88/3.25 X := X
% 2.88/3.25 end
% 2.88/3.25
% 2.88/3.25 subsumption: (1763) {G4,W8,D2,L2,V1,M2} R(791,165) { ! coll( X, skol27,
% 2.88/3.25 skol26 ), coll( X, skol27, skol25 ) }.
% 2.88/3.25 parent0: (20652) {G2,W8,D2,L2,V1,M2} { coll( X, skol27, skol25 ), ! coll(
% 2.88/3.25 X, skol27, skol26 ) }.
% 2.88/3.25 substitution0:
% 2.88/3.25 X := X
% 2.88/3.25 end
% 2.88/3.25 permutation0:
% 2.88/3.25 0 ==> 1
% 2.88/3.25 1 ==> 0
% 2.88/3.25 end
% 2.88/3.25
% 2.88/3.25 resolution: (20655) {G1,W12,D2,L3,V2,M3} { ! coll( X, skol27, Y ), coll(
% 2.88/3.25 skol25, Y, X ), ! coll( X, skol27, skol26 ) }.
% 2.88/3.25 parent0[0]: (2) {G0,W12,D2,L3,V4,M3} I { ! coll( X, T, Y ), ! coll( X, T, Z
% 2.88/3.25 ), coll( Y, Z, X ) }.
% 2.88/3.25 parent1[1]: (1763) {G4,W8,D2,L2,V1,M2} R(791,165) { ! coll( X, skol27,
% 2.88/3.25 skol26 ), coll( X, skol27, skol25 ) }.
% 2.88/3.25 substitution0:
% 2.88/3.25 X := X
% 2.88/3.25 Y := skol25
% 2.88/3.25 Z := Y
% 2.88/3.25 T := skol27
% 2.88/3.25 end
% 2.88/3.25 substitution1:
% 2.88/3.25 X := X
% 2.88/3.25 end
% 2.88/3.25
% 2.88/3.25 subsumption: (1781) {G5,W12,D2,L3,V2,M3} R(1763,2) { ! coll( X, skol27,
% 2.88/3.25 skol26 ), ! coll( X, skol27, Y ), coll( skol25, Y, X ) }.
% 2.88/3.25 parent0: (20655) {G1,W12,D2,L3,V2,M3} { ! coll( X, skol27, Y ), coll(
% 2.88/3.25 skol25, Y, X ), ! coll( X, skol27, skol26 ) }.
% 2.88/3.25 substitution0:
% 2.88/3.25 X := X
% 2.88/3.25 Y := Y
% 2.88/3.25 end
% 2.88/3.25 permutation0:
% 2.88/3.25 0 ==> 1
% 2.88/3.25 1 ==> 2
% 2.88/3.25 2 ==> 0
% 2.88/3.25 end
% 2.88/3.25
% 2.88/3.25 factor: (20659) {G5,W8,D2,L2,V1,M2} { ! coll( X, skol27, skol26 ), coll(
% 2.88/3.25 skol25, skol26, X ) }.
% 2.88/3.25 parent0[0, 1]: (1781) {G5,W12,D2,L3,V2,M3} R(1763,2) { ! coll( X, skol27,
% 2.88/3.25 skol26 ), ! coll( X, skol27, Y ), coll( skol25, Y, X ) }.
% 2.88/3.25 substitution0:
% 2.88/3.25 X := X
% 2.88/3.25 Y := skol26
% 2.88/3.25 end
% 2.88/3.25
% 2.88/3.25 subsumption: (1786) {G6,W8,D2,L2,V1,M2} F(1781) { ! coll( X, skol27, skol26
% 2.88/3.25 ), coll( skol25, skol26, X ) }.
% 2.88/3.25 parent0: (20659) {G5,W8,D2,L2,V1,M2} { ! coll( X, skol27, skol26 ), coll(
% 2.88/3.25 skol25, skol26, X ) }.
% 2.88/3.25 substitution0:
% 2.88/3.25 X := X
% 2.88/3.25 end
% 2.88/3.25 permutation0:
% 2.88/3.25 0 ==> 0
% 2.88/3.25 1 ==> 1
% 2.88/3.25 end
% 2.88/3.25
% 2.88/3.25 resolution: (20660) {G2,W8,D2,L2,V1,M2} { coll( skol25, skol26, X ), !
% 2.88/3.25 midp( skol27, X, skol26 ) }.
% 2.88/3.25 parent0[0]: (1786) {G6,W8,D2,L2,V1,M2} F(1781) { ! coll( X, skol27, skol26
% 2.88/3.25 ), coll( skol25, skol26, X ) }.
% 2.88/3.25 parent1[1]: (591) {G1,W8,D2,L2,V3,M2} R(69,1) { ! midp( X, Y, Z ), coll( Y
% 2.88/3.25 , X, Z ) }.
% 2.88/3.25 substitution0:
% 2.88/3.25 X := X
% 2.88/3.25 end
% 2.88/3.25 substitution1:
% 2.88/3.25 X := skol27
% 2.88/3.25 Y := X
% 2.88/3.25 Z := skol26
% 2.88/3.25 end
% 2.88/3.25
% 2.88/3.25 subsumption: (2686) {G7,W8,D2,L2,V1,M2} R(1786,591) { coll( skol25, skol26
% 2.88/3.25 , X ), ! midp( skol27, X, skol26 ) }.
% 2.88/3.25 parent0: (20660) {G2,W8,D2,L2,V1,M2} { coll( skol25, skol26, X ), ! midp(
% 2.88/3.25 skol27, X, skol26 ) }.
% 2.88/3.25 substitution0:
% 2.88/3.25 X := X
% 2.88/3.25 end
% 2.88/3.25 permutation0:
% 2.88/3.25 0 ==> 0
% 2.88/3.25 1 ==> 1
% 2.88/3.25 end
% 2.88/3.25
% 2.88/3.25 resolution: (20661) {G3,W8,D2,L2,V1,M2} { coll( skol25, skol26, X ), !
% 2.88/3.25 midp( skol27, skol26, X ) }.
% 2.88/3.25 parent0[0]: (1786) {G6,W8,D2,L2,V1,M2} F(1781) { ! coll( X, skol27, skol26
% 2.88/3.25 ), coll( skol25, skol26, X ) }.
% 2.88/3.25 parent1[1]: (565) {G2,W8,D2,L2,V3,M2} R(69,164) { ! midp( X, Y, Z ), coll(
% 2.88/3.25 Z, X, Y ) }.
% 2.88/3.25 substitution0:
% 2.88/3.25 X := X
% 2.88/3.25 end
% 2.88/3.25 substitution1:
% 2.88/3.25 X := skol27
% 2.88/3.25 Y := skol26
% 2.88/3.25 Z := X
% 2.88/3.25 end
% 2.88/3.25
% 2.88/3.25 subsumption: (2689) {G7,W8,D2,L2,V1,M2} R(1786,565) { coll( skol25, skol26
% 2.88/3.25 , X ), ! midp( skol27, skol26, X ) }.
% 2.88/3.25 parent0: (20661) {G3,W8,D2,L2,V1,M2} { coll( skol25, skol26, X ), ! midp(
% 2.88/3.25 skol27, skol26, X ) }.
% 2.88/3.25 substitution0:
% 2.88/3.25 X := X
% 2.88/3.25 end
% 2.88/3.25 permutation0:
% 2.88/3.25 0 ==> 0
% 2.88/3.25 1 ==> 1
% 2.88/3.25 end
% 2.88/3.25
% 2.88/3.25 resolution: (20662) {G1,W8,D2,L2,V1,M2} { coll( skol25, X, skol26 ), !
% 2.88/3.25 midp( skol27, X, skol26 ) }.
% 2.88/3.25 parent0[0]: (0) {G0,W8,D2,L2,V3,M2} I { ! coll( X, Y, Z ), coll( X, Z, Y )
% 2.88/3.25 }.
% 2.88/3.25 parent1[0]: (2686) {G7,W8,D2,L2,V1,M2} R(1786,591) { coll( skol25, skol26,
% 2.88/3.25 X ), ! midp( skol27, X, skol26 ) }.
% 2.88/3.25 substitution0:
% 2.88/3.25 X := skol25
% 2.88/3.25 Y := skol26
% 2.88/3.25 Z := X
% 2.88/3.25 end
% 2.88/3.25 substitution1:
% 2.88/3.25 X := X
% 2.88/3.25 end
% 2.88/3.25
% 2.88/3.25 subsumption: (2712) {G8,W8,D2,L2,V1,M2} R(2686,0) { ! midp( skol27, X,
% 2.88/3.25 skol26 ), coll( skol25, X, skol26 ) }.
% 2.88/3.25 parent0: (20662) {G1,W8,D2,L2,V1,M2} { coll( skol25, X, skol26 ), ! midp(
% 2.88/3.25 skol27, X, skol26 ) }.
% 2.88/3.25 substitution0:
% 2.88/3.25 X := X
% 2.88/3.25 end
% 2.88/3.25 permutation0:
% 2.88/3.25 0 ==> 1
% 2.88/3.25 1 ==> 0
% 2.88/3.25 end
% 2.88/3.25
% 2.88/3.25 resolution: (20663) {G2,W18,D3,L4,V2,M4} { ! midp( X, skol26, skol25 ), !
% 2.88/3.25 coll( skol26, skol26, skol25 ), midp( skol7( skol26, Y ), skol26, Y ), !
% 2.88/3.25 midp( skol27, skol26, skol25 ) }.
% 2.88/3.25 parent0[2]: (145) {G1,W18,D3,L4,V4,M4} F(88) { ! midp( X, Y, Z ), ! coll( Y
% 2.88/3.25 , Y, Z ), ! coll( Z, Y, Z ), midp( skol7( Y, T ), Y, T ) }.
% 2.88/3.25 parent1[0]: (2689) {G7,W8,D2,L2,V1,M2} R(1786,565) { coll( skol25, skol26,
% 2.88/3.25 X ), ! midp( skol27, skol26, X ) }.
% 2.88/3.25 substitution0:
% 2.88/3.25 X := X
% 2.88/3.25 Y := skol26
% 2.88/3.25 Z := skol25
% 2.88/3.25 T := Y
% 2.88/3.25 end
% 2.88/3.25 substitution1:
% 2.88/3.25 X := skol25
% 2.88/3.25 end
% 2.88/3.25
% 2.88/3.25 resolution: (20666) {G3,W14,D3,L3,V2,M3} { ! midp( X, skol26, skol25 ),
% 2.88/3.25 midp( skol7( skol26, Y ), skol26, Y ), ! midp( skol27, skol26, skol25 )
% 2.88/3.25 }.
% 2.88/3.25 parent0[1]: (20663) {G2,W18,D3,L4,V2,M4} { ! midp( X, skol26, skol25 ), !
% 2.88/3.25 coll( skol26, skol26, skol25 ), midp( skol7( skol26, Y ), skol26, Y ), !
% 2.88/3.25 midp( skol27, skol26, skol25 ) }.
% 2.88/3.25 parent1[0]: (602) {G11,W4,D2,L1,V0,M1} R(586,535) { coll( skol26, skol26,
% 2.88/3.25 skol25 ) }.
% 2.88/3.25 substitution0:
% 2.88/3.25 X := X
% 2.88/3.25 Y := Y
% 2.88/3.25 end
% 2.88/3.25 substitution1:
% 2.88/3.25 end
% 2.88/3.25
% 2.88/3.25 subsumption: (7768) {G12,W14,D3,L3,V2,M3} R(145,2689);r(602) { ! midp( X,
% 2.88/3.25 skol26, skol25 ), midp( skol7( skol26, Y ), skol26, Y ), ! midp( skol27,
% 2.88/3.25 skol26, skol25 ) }.
% 2.88/3.25 parent0: (20666) {G3,W14,D3,L3,V2,M3} { ! midp( X, skol26, skol25 ), midp
% 2.88/3.25 ( skol7( skol26, Y ), skol26, Y ), ! midp( skol27, skol26, skol25 ) }.
% 2.88/3.25 substitution0:
% 2.88/3.25 X := X
% 2.88/3.25 Y := Y
% 2.88/3.25 end
% 2.88/3.25 permutation0:
% 2.88/3.25 0 ==> 0
% 2.88/3.25 1 ==> 1
% 2.88/3.25 2 ==> 2
% 2.88/3.25 end
% 2.88/3.25
% 2.88/3.25 resolution: (20668) {G2,W18,D3,L4,V2,M4} { ! midp( X, skol25, skol26 ), !
% 2.88/3.25 coll( skol26, skol25, skol26 ), midp( skol7( skol25, Y ), skol25, Y ), !
% 2.88/3.25 midp( skol27, skol25, skol26 ) }.
% 2.88/3.25 parent0[1]: (145) {G1,W18,D3,L4,V4,M4} F(88) { ! midp( X, Y, Z ), ! coll( Y
% 2.88/3.25 , Y, Z ), ! coll( Z, Y, Z ), midp( skol7( Y, T ), Y, T ) }.
% 2.88/3.25 parent1[1]: (2712) {G8,W8,D2,L2,V1,M2} R(2686,0) { ! midp( skol27, X,
% 2.88/3.25 skol26 ), coll( skol25, X, skol26 ) }.
% 2.88/3.25 substitution0:
% 2.88/3.25 X := X
% 2.88/3.25 Y := skol25
% 2.88/3.25 Z := skol26
% 2.88/3.25 T := Y
% 2.88/3.25 end
% 2.88/3.25 substitution1:
% 2.88/3.25 X := skol25
% 2.88/3.25 end
% 2.88/3.25
% 2.88/3.25 resolution: (20671) {G3,W14,D3,L3,V2,M3} { ! midp( X, skol25, skol26 ),
% 2.88/3.25 midp( skol7( skol25, Y ), skol25, Y ), ! midp( skol27, skol25, skol26 )
% 2.88/3.25 }.
% 2.88/3.25 parent0[1]: (20668) {G2,W18,D3,L4,V2,M4} { ! midp( X, skol25, skol26 ), !
% 2.88/3.25 coll( skol26, skol25, skol26 ), midp( skol7( skol25, Y ), skol25, Y ), !
% 2.88/3.25 midp( skol27, skol25, skol26 ) }.
% 2.88/3.25 parent1[0]: (597) {G4,W4,D2,L1,V0,M1} R(586,217) { coll( skol26, skol25,
% 2.88/3.25 skol26 ) }.
% 2.88/3.25 substitution0:
% 2.88/3.25 X := X
% 2.88/3.25 Y := Y
% 2.88/3.25 end
% 2.88/3.25 substitution1:
% 2.88/3.25 end
% 2.88/3.25
% 2.88/3.25 subsumption: (7779) {G9,W14,D3,L3,V2,M3} R(145,2712);r(597) { ! midp( X,
% 2.88/3.25 skol25, skol26 ), midp( skol7( skol25, Y ), skol25, Y ), ! midp( skol27,
% 2.88/3.25 skol25, skol26 ) }.
% 2.88/3.25 parent0: (20671) {G3,W14,D3,L3,V2,M3} { ! midp( X, skol25, skol26 ), midp
% 2.88/3.25 ( skol7( skol25, Y ), skol25, Y ), ! midp( skol27, skol25, skol26 ) }.
% 2.88/3.25 substitution0:
% 2.88/3.25 X := X
% 2.88/3.25 Y := Y
% 2.88/3.25 end
% 2.88/3.25 permutation0:
% 2.88/3.25 0 ==> 0
% 2.88/3.25 1 ==> 1
% 2.88/3.25 2 ==> 2
% 2.88/3.25 end
% 2.88/3.25
% 2.88/3.25 factor: (20673) {G9,W10,D3,L2,V1,M2} { ! midp( skol27, skol25, skol26 ),
% 2.88/3.25 midp( skol7( skol25, X ), skol25, X ) }.
% 2.88/3.25 parent0[0, 2]: (7779) {G9,W14,D3,L3,V2,M3} R(145,2712);r(597) { ! midp( X,
% 2.88/3.25 skol25, skol26 ), midp( skol7( skol25, Y ), skol25, Y ), ! midp( skol27,
% 2.88/3.25 skol25, skol26 ) }.
% 2.88/3.25 substitution0:
% 2.88/3.25 X := skol27
% 2.88/3.25 Y := X
% 2.88/3.25 end
% 2.88/3.25
% 2.88/3.25 resolution: (20674) {G2,W6,D3,L1,V1,M1} { midp( skol7( skol25, X ), skol25
% 2.88/3.25 , X ) }.
% 2.88/3.25 parent0[0]: (20673) {G9,W10,D3,L2,V1,M2} { ! midp( skol27, skol25, skol26
% 2.88/3.25 ), midp( skol7( skol25, X ), skol25, X ) }.
% 2.88/3.25 parent1[0]: (316) {G1,W4,D2,L1,V0,M1} R(10,117) { midp( skol27, skol25,
% 2.88/3.25 skol26 ) }.
% 2.88/3.25 substitution0:
% 2.88/3.25 X := X
% 2.88/3.25 end
% 2.88/3.25 substitution1:
% 2.88/3.25 end
% 2.88/3.25
% 2.88/3.25 subsumption: (7865) {G10,W6,D3,L1,V1,M1} F(7779);r(316) { midp( skol7(
% 2.88/3.25 skol25, X ), skol25, X ) }.
% 2.88/3.25 parent0: (20674) {G2,W6,D3,L1,V1,M1} { midp( skol7( skol25, X ), skol25, X
% 2.88/3.25 ) }.
% 2.88/3.25 substitution0:
% 2.88/3.25 X := X
% 2.88/3.25 end
% 2.88/3.25 permutation0:
% 2.88/3.25 0 ==> 0
% 2.88/3.25 end
% 2.88/3.25
% 2.88/3.25 factor: (20675) {G12,W10,D3,L2,V1,M2} { ! midp( skol27, skol26, skol25 ),
% 2.88/3.25 midp( skol7( skol26, X ), skol26, X ) }.
% 2.88/3.25 parent0[0, 2]: (7768) {G12,W14,D3,L3,V2,M3} R(145,2689);r(602) { ! midp( X
% 2.88/3.25 , skol26, skol25 ), midp( skol7( skol26, Y ), skol26, Y ), ! midp( skol27
% 2.88/3.25 , skol26, skol25 ) }.
% 2.88/3.25 substitution0:
% 2.88/3.25 X := skol27
% 2.88/3.25 Y := X
% 2.88/3.25 end
% 2.88/3.25
% 2.88/3.25 resolution: (20676) {G1,W6,D3,L1,V1,M1} { midp( skol7( skol26, X ), skol26
% 2.88/3.25 , X ) }.
% 2.88/3.25 parent0[0]: (20675) {G12,W10,D3,L2,V1,M2} { ! midp( skol27, skol26, skol25
% 2.88/3.25 ), midp( skol7( skol26, X ), skol26, X ) }.
% 2.88/3.25 parent1[0]: (117) {G0,W4,D2,L1,V0,M1} I { midp( skol27, skol26, skol25 )
% 2.88/3.25 }.
% 2.88/3.25 substitution0:
% 2.88/3.25 X := X
% 2.88/3.25 end
% 2.88/3.25 substitution1:
% 2.88/3.25 end
% 2.88/3.25
% 2.88/3.25 subsumption: (7866) {G13,W6,D3,L1,V1,M1} F(7768);r(117) { midp( skol7(
% 2.88/3.25 skol26, X ), skol26, X ) }.
% 2.88/3.25 parent0: (20676) {G1,W6,D3,L1,V1,M1} { midp( skol7( skol26, X ), skol26, X
% 2.88/3.25 ) }.
% 2.88/3.25 substitution0:
% 2.88/3.25 X := X
% 2.88/3.25 end
% 2.88/3.25 permutation0:
% 2.88/3.25 0 ==> 0
% 2.88/3.25 end
% 2.88/3.25
% 2.88/3.25 resolution: (20677) {G12,W4,D2,L1,V1,M1} { coll( skol26, skol26, X ) }.
% 2.88/3.25 parent0[0]: (572) {G11,W8,D2,L2,V3,M2} R(69,536) { ! midp( X, Y, Z ), coll
% 2.88/3.25 ( Y, Y, Z ) }.
% 2.88/3.25 parent1[0]: (7866) {G13,W6,D3,L1,V1,M1} F(7768);r(117) { midp( skol7(
% 2.88/3.25 skol26, X ), skol26, X ) }.
% 2.88/3.25 substitution0:
% 2.88/3.25 X := skol7( skol26, X )
% 2.88/3.25 Y := skol26
% 2.88/3.25 Z := X
% 2.88/3.25 end
% 2.88/3.25 substitution1:
% 2.88/3.25 X := X
% 2.88/3.25 end
% 2.88/3.25
% 2.88/3.25 subsumption: (7914) {G14,W4,D2,L1,V1,M1} R(7866,572) { coll( skol26, skol26
% 2.88/3.25 , X ) }.
% 2.88/3.25 parent0: (20677) {G12,W4,D2,L1,V1,M1} { coll( skol26, skol26, X ) }.
% 2.88/3.25 substitution0:
% 2.88/3.25 X := X
% 2.88/3.25 end
% 2.88/3.25 permutation0:
% 2.88/3.25 0 ==> 0
% 2.88/3.25 end
% 2.88/3.25
% 2.88/3.25 resolution: (20678) {G1,W8,D2,L2,V2,M2} { ! coll( skol26, skol26, Y ),
% 2.88/3.25 coll( X, Y, skol26 ) }.
% 2.88/3.25 parent0[0]: (2) {G0,W12,D2,L3,V4,M3} I { ! coll( X, T, Y ), ! coll( X, T, Z
% 2.88/3.25 ), coll( Y, Z, X ) }.
% 2.88/3.25 parent1[0]: (7914) {G14,W4,D2,L1,V1,M1} R(7866,572) { coll( skol26, skol26
% 2.88/3.25 , X ) }.
% 2.88/3.25 substitution0:
% 2.88/3.25 X := skol26
% 2.88/3.25 Y := X
% 2.88/3.25 Z := Y
% 2.88/3.25 T := skol26
% 2.88/3.25 end
% 2.88/3.25 substitution1:
% 2.88/3.25 X := X
% 2.88/3.25 end
% 2.88/3.25
% 2.88/3.25 resolution: (20680) {G2,W4,D2,L1,V2,M1} { coll( Y, X, skol26 ) }.
% 2.88/3.25 parent0[0]: (20678) {G1,W8,D2,L2,V2,M2} { ! coll( skol26, skol26, Y ),
% 2.88/3.25 coll( X, Y, skol26 ) }.
% 2.88/3.25 parent1[0]: (7914) {G14,W4,D2,L1,V1,M1} R(7866,572) { coll( skol26, skol26
% 2.88/3.25 , X ) }.
% 2.88/3.25 substitution0:
% 2.88/3.25 X := Y
% 2.88/3.25 Y := X
% 2.88/3.25 end
% 2.88/3.25 substitution1:
% 2.88/3.25 X := X
% 2.88/3.25 end
% 2.88/3.25
% 2.88/3.25 subsumption: (7973) {G15,W4,D2,L1,V2,M1} R(7914,2);r(7914) { coll( Y, X,
% 2.88/3.25 skol26 ) }.
% 2.88/3.25 parent0: (20680) {G2,W4,D2,L1,V2,M1} { coll( Y, X, skol26 ) }.
% 2.88/3.25 substitution0:
% 2.88/3.25 X := X
% 2.88/3.25 Y := Y
% 2.88/3.25 end
% 2.88/3.25 permutation0:
% 2.88/3.25 0 ==> 0
% 2.88/3.25 end
% 2.88/3.25
% 2.88/3.25 resolution: (20681) {G2,W4,D2,L1,V2,M1} { coll( Y, skol26, X ) }.
% 2.88/3.25 parent0[0]: (165) {G1,W8,D2,L2,V3,M2} R(1,0) { ! coll( X, Y, Z ), coll( Y,
% 2.88/3.25 Z, X ) }.
% 2.88/3.25 parent1[0]: (7973) {G15,W4,D2,L1,V2,M1} R(7914,2);r(7914) { coll( Y, X,
% 2.88/3.25 skol26 ) }.
% 2.88/3.25 substitution0:
% 2.88/3.25 X := X
% 2.88/3.25 Y := Y
% 2.88/3.25 Z := skol26
% 2.88/3.25 end
% 2.88/3.25 substitution1:
% 2.88/3.25 X := Y
% 2.88/3.25 Y := X
% 2.88/3.25 end
% 2.88/3.25
% 2.88/3.25 subsumption: (7998) {G16,W4,D2,L1,V2,M1} R(7973,165) { coll( X, skol26, Y )
% 2.88/3.25 }.
% 2.88/3.25 parent0: (20681) {G2,W4,D2,L1,V2,M1} { coll( Y, skol26, X ) }.
% 2.88/3.25 substitution0:
% 2.88/3.25 X := Y
% 2.88/3.25 Y := X
% 2.88/3.25 end
% 2.88/3.25 permutation0:
% 2.88/3.25 0 ==> 0
% 2.88/3.25 end
% 2.88/3.25
% 2.88/3.25 resolution: (20682) {G1,W8,D2,L2,V3,M2} { ! coll( X, skol26, Z ), coll( Y
% 2.88/3.25 , Z, X ) }.
% 2.88/3.25 parent0[0]: (2) {G0,W12,D2,L3,V4,M3} I { ! coll( X, T, Y ), ! coll( X, T, Z
% 2.88/3.25 ), coll( Y, Z, X ) }.
% 2.88/3.25 parent1[0]: (7998) {G16,W4,D2,L1,V2,M1} R(7973,165) { coll( X, skol26, Y )
% 2.88/3.25 }.
% 2.88/3.25 substitution0:
% 2.88/3.25 X := X
% 2.88/3.25 Y := Y
% 2.88/3.25 Z := Z
% 2.88/3.25 T := skol26
% 2.88/3.25 end
% 2.88/3.25 substitution1:
% 2.88/3.25 X := X
% 2.88/3.25 Y := Y
% 2.88/3.25 end
% 2.88/3.25
% 2.88/3.25 resolution: (20684) {G2,W4,D2,L1,V3,M1} { coll( Z, Y, X ) }.
% 2.88/3.25 parent0[0]: (20682) {G1,W8,D2,L2,V3,M2} { ! coll( X, skol26, Z ), coll( Y
% 2.88/3.25 , Z, X ) }.
% 2.88/3.25 parent1[0]: (7998) {G16,W4,D2,L1,V2,M1} R(7973,165) { coll( X, skol26, Y )
% 2.88/3.25 }.
% 2.88/3.25 substitution0:
% 2.88/3.25 X := X
% 2.88/3.25 Y := Z
% 2.88/3.25 Z := Y
% 2.88/3.25 end
% 2.88/3.25 substitution1:
% 2.88/3.25 X := X
% 2.88/3.25 Y := Y
% 2.88/3.25 end
% 2.88/3.25
% 2.88/3.25 subsumption: (8011) {G17,W4,D2,L1,V3,M1} R(7998,2);r(7998) { coll( Z, Y, X
% 2.88/3.25 ) }.
% 2.88/3.25 parent0: (20684) {G2,W4,D2,L1,V3,M1} { coll( Z, Y, X ) }.
% 2.88/3.25 substitution0:
% 2.88/3.25 X := X
% 2.88/3.25 Y := Y
% 2.88/3.25 Z := Z
% 2.88/3.25 end
% 2.88/3.25 permutation0:
% 2.88/3.25 0 ==> 0
% 2.88/3.25 end
% 2.88/3.25
% 2.88/3.25 resolution: (20685) {G2,W5,D2,L1,V1,M1} { para( skol25, skol25, X, X ) }.
% 2.88/3.25 parent0[0]: (138) {G1,W9,D2,L2,V3,M2} F(63) { ! midp( X, Y, Z ), para( Y, Y
% 2.88/3.25 , Z, Z ) }.
% 2.88/3.25 parent1[0]: (7865) {G10,W6,D3,L1,V1,M1} F(7779);r(316) { midp( skol7(
% 2.88/3.25 skol25, X ), skol25, X ) }.
% 2.88/3.25 substitution0:
% 2.88/3.25 X := skol7( skol25, X )
% 2.88/3.25 Y := skol25
% 2.88/3.25 Z := X
% 2.88/3.25 end
% 2.88/3.25 substitution1:
% 2.88/3.25 X := X
% 2.88/3.25 end
% 2.88/3.25
% 2.88/3.25 subsumption: (8071) {G11,W5,D2,L1,V1,M1} R(7865,138) { para( skol25, skol25
% 2.88/3.25 , X, X ) }.
% 2.88/3.25 parent0: (20685) {G2,W5,D2,L1,V1,M1} { para( skol25, skol25, X, X ) }.
% 2.88/3.25 substitution0:
% 2.88/3.25 X := X
% 2.88/3.25 end
% 2.88/3.25 permutation0:
% 2.88/3.25 0 ==> 0
% 2.88/3.25 end
% 2.88/3.25
% 2.88/3.25 resolution: (20686) {G1,W5,D2,L1,V1,M1} { para( X, X, skol25, skol25 ) }.
% 2.88/3.25 parent0[0]: (4) {G0,W10,D2,L2,V4,M2} I { ! para( X, Y, Z, T ), para( Z, T,
% 2.88/3.25 X, Y ) }.
% 2.88/3.25 parent1[0]: (8071) {G11,W5,D2,L1,V1,M1} R(7865,138) { para( skol25, skol25
% 2.88/3.25 , X, X ) }.
% 2.88/3.25 substitution0:
% 2.88/3.25 X := skol25
% 2.88/3.25 Y := skol25
% 2.88/3.25 Z := X
% 2.88/3.25 T := X
% 2.88/3.25 end
% 2.88/3.25 substitution1:
% 2.88/3.25 X := X
% 2.88/3.25 end
% 2.88/3.25
% 2.88/3.25 subsumption: (8091) {G12,W5,D2,L1,V1,M1} R(8071,4) { para( X, X, skol25,
% 2.88/3.25 skol25 ) }.
% 2.88/3.25 parent0: (20686) {G1,W5,D2,L1,V1,M1} { para( X, X, skol25, skol25 ) }.
% 2.88/3.25 substitution0:
% 2.88/3.25 X := X
% 2.88/3.25 end
% 2.88/3.25 permutation0:
% 2.88/3.25 0 ==> 0
% 2.88/3.25 end
% 2.88/3.25
% 2.88/3.25 resolution: (20687) {G3,W5,D2,L1,V1,M1} { para( X, X, X, X ) }.
% 2.88/3.25 parent0[0]: (245) {G2,W10,D2,L2,V4,M2} F(241) { ! para( X, Y, Z, T ), para
% 2.88/3.25 ( X, Y, X, Y ) }.
% 2.88/3.25 parent1[0]: (8091) {G12,W5,D2,L1,V1,M1} R(8071,4) { para( X, X, skol25,
% 2.88/3.25 skol25 ) }.
% 2.88/3.25 substitution0:
% 2.88/3.25 X := X
% 2.88/3.25 Y := X
% 2.88/3.25 Z := skol25
% 2.88/3.25 T := skol25
% 2.88/3.25 end
% 2.88/3.25 substitution1:
% 2.88/3.25 X := X
% 2.88/3.25 end
% 2.88/3.25
% 2.88/3.25 subsumption: (8395) {G13,W5,D2,L1,V1,M1} R(245,8091) { para( X, X, X, X )
% 2.88/3.25 }.
% 2.88/3.25 parent0: (20687) {G3,W5,D2,L1,V1,M1} { para( X, X, X, X ) }.
% 2.88/3.25 substitution0:
% 2.88/3.25 X := X
% 2.88/3.25 end
% 2.88/3.25 permutation0:
% 2.88/3.25 0 ==> 0
% 2.88/3.25 end
% 2.88/3.25
% 2.88/3.25 resolution: (20688) {G1,W9,D2,L1,V3,M1} { eqangle( X, X, Y, Z, X, X, Y, Z
% 2.88/3.25 ) }.
% 2.88/3.25 parent0[0]: (39) {G0,W14,D2,L2,V6,M2} I { ! para( X, Y, Z, T ), eqangle( X
% 2.88/3.25 , Y, U, W, Z, T, U, W ) }.
% 2.88/3.25 parent1[0]: (8395) {G13,W5,D2,L1,V1,M1} R(245,8091) { para( X, X, X, X )
% 2.88/3.25 }.
% 2.88/3.25 substitution0:
% 2.88/3.25 X := X
% 2.88/3.25 Y := X
% 2.88/3.25 Z := X
% 2.88/3.25 T := X
% 2.88/3.25 U := Y
% 2.88/3.25 W := Z
% 2.88/3.25 end
% 2.88/3.25 substitution1:
% 2.88/3.25 X := X
% 2.88/3.25 end
% 2.88/3.25
% 2.88/3.25 subsumption: (8402) {G14,W9,D2,L1,V3,M1} R(8395,39) { eqangle( X, X, Y, Z,
% 2.88/3.25 X, X, Y, Z ) }.
% 2.88/3.25 parent0: (20688) {G1,W9,D2,L1,V3,M1} { eqangle( X, X, Y, Z, X, X, Y, Z )
% 2.88/3.25 }.
% 2.88/3.25 substitution0:
% 2.88/3.25 X := X
% 2.88/3.25 Y := Y
% 2.88/3.25 Z := Z
% 2.88/3.25 end
% 2.88/3.25 permutation0:
% 2.88/3.25 0 ==> 0
% 2.88/3.25 end
% 2.88/3.25
% 2.88/3.25 resolution: (20689) {G2,W9,D2,L1,V3,M1} { eqangle( X, X, X, X, Y, Z, Y, Z
% 2.88/3.25 ) }.
% 2.88/3.25 parent0[1]: (424) {G1,W18,D2,L2,V8,M2} R(20,17) { eqangle( X, Y, Z, T, U, W
% 2.88/3.25 , V0, V1 ), ! eqangle( Y, X, U, W, Z, T, V0, V1 ) }.
% 2.88/3.25 parent1[0]: (8402) {G14,W9,D2,L1,V3,M1} R(8395,39) { eqangle( X, X, Y, Z, X
% 2.88/3.25 , X, Y, Z ) }.
% 2.88/3.25 substitution0:
% 2.88/3.25 X := X
% 2.88/3.25 Y := X
% 2.88/3.25 Z := X
% 2.88/3.25 T := X
% 2.88/3.25 U := Y
% 2.88/3.25 W := Z
% 2.88/3.25 V0 := Y
% 2.88/3.25 V1 := Z
% 2.88/3.25 end
% 2.88/3.25 substitution1:
% 2.88/3.25 X := X
% 2.88/3.25 Y := Y
% 2.88/3.25 Z := Z
% 2.88/3.25 end
% 2.88/3.25
% 2.88/3.25 subsumption: (19879) {G15,W9,D2,L1,V3,M1} R(8402,424) { eqangle( X, X, X, X
% 2.88/3.25 , Y, Z, Y, Z ) }.
% 2.88/3.25 parent0: (20689) {G2,W9,D2,L1,V3,M1} { eqangle( X, X, X, X, Y, Z, Y, Z )
% 2.88/3.25 }.
% 2.88/3.25 substitution0:
% 2.88/3.25 X := X
% 2.88/3.25 Y := Y
% 2.88/3.25 Z := Z
% 2.88/3.25 end
% 2.88/3.25 permutation0:
% 2.88/3.25 0 ==> 0
% 2.88/3.25 end
% 2.88/3.25
% 2.88/3.25 resolution: (20690) {G2,W9,D2,L1,V3,M1} { eqangle( Z, Y, Y, Z, X, X, X, X
% 2.88/3.25 ) }.
% 2.88/3.25 parent0[0]: (412) {G1,W18,D2,L2,V8,M2} R(19,17) { ! eqangle( X, Y, Z, T, U
% 2.88/3.25 , W, V0, V1 ), eqangle( W, U, V0, V1, X, Y, Z, T ) }.
% 2.88/3.25 parent1[0]: (19879) {G15,W9,D2,L1,V3,M1} R(8402,424) { eqangle( X, X, X, X
% 2.88/3.25 , Y, Z, Y, Z ) }.
% 2.88/3.25 substitution0:
% 2.88/3.25 X := X
% 2.88/3.25 Y := X
% 2.88/3.25 Z := X
% 2.88/3.25 T := X
% 2.88/3.25 U := Y
% 2.88/3.25 W := Z
% 2.88/3.25 V0 := Y
% 2.88/3.25 V1 := Z
% 2.88/3.25 end
% 2.88/3.25 substitution1:
% 2.88/3.25 X := X
% 2.88/3.25 Y := Y
% 2.88/3.25 Z := Z
% 2.88/3.25 end
% 2.88/3.25
% 2.88/3.25 subsumption: (19884) {G16,W9,D2,L1,V3,M1} R(19879,412) { eqangle( X, Y, Y,
% 2.88/3.25 X, Z, Z, Z, Z ) }.
% 2.88/3.25 parent0: (20690) {G2,W9,D2,L1,V3,M1} { eqangle( Z, Y, Y, Z, X, X, X, X )
% 2.88/3.25 }.
% 2.88/3.25 substitution0:
% 2.88/3.25 X := Z
% 2.88/3.25 Y := Y
% 2.88/3.25 Z := X
% 2.88/3.25 end
% 2.88/3.25 permutation0:
% 2.88/3.25 0 ==> 0
% 2.88/3.25 end
% 2.88/3.25
% 2.88/3.25 resolution: (20691) {G1,W10,D2,L2,V3,M2} { ! para( Z, Z, Z, Z ), para( X,
% 2.88/3.25 Y, Y, X ) }.
% 2.88/3.25 parent0[0]: (72) {G0,W19,D2,L3,V8,M3} I { ! eqangle( X, Y, Z, T, U, W, V0,
% 2.88/3.25 V1 ), ! para( U, W, V0, V1 ), para( X, Y, Z, T ) }.
% 2.88/3.25 parent1[0]: (19884) {G16,W9,D2,L1,V3,M1} R(19879,412) { eqangle( X, Y, Y, X
% 2.88/3.25 , Z, Z, Z, Z ) }.
% 2.88/3.25 substitution0:
% 2.88/3.25 X := X
% 2.88/3.25 Y := Y
% 2.88/3.25 Z := Y
% 2.88/3.25 T := X
% 2.88/3.25 U := Z
% 2.88/3.25 W := Z
% 2.88/3.25 V0 := Z
% 2.88/3.25 V1 := Z
% 2.88/3.25 end
% 2.88/3.25 substitution1:
% 2.88/3.25 X := X
% 2.88/3.25 Y := Y
% 2.88/3.25 Z := Z
% 2.88/3.25 end
% 2.88/3.25
% 2.88/3.25 resolution: (20692) {G2,W5,D2,L1,V2,M1} { para( Y, Z, Z, Y ) }.
% 2.88/3.25 parent0[0]: (20691) {G1,W10,D2,L2,V3,M2} { ! para( Z, Z, Z, Z ), para( X,
% 2.88/3.25 Y, Y, X ) }.
% 2.88/3.25 parent1[0]: (8395) {G13,W5,D2,L1,V1,M1} R(245,8091) { para( X, X, X, X )
% 2.88/3.25 }.
% 2.88/3.25 substitution0:
% 2.88/3.25 X := Y
% 2.88/3.25 Y := Z
% 2.88/3.25 Z := X
% 2.88/3.25 end
% 2.88/3.25 substitution1:
% 2.88/3.25 X := X
% 2.88/3.25 end
% 2.88/3.25
% 2.88/3.25 subsumption: (19891) {G17,W5,D2,L1,V2,M1} R(19884,72);r(8395) { para( Y, Z
% 2.88/3.25 , Z, Y ) }.
% 2.88/3.25 parent0: (20692) {G2,W5,D2,L1,V2,M1} { para( Y, Z, Z, Y ) }.
% 2.88/3.25 substitution0:
% 2.88/3.25 X := T
% 2.88/3.25 Y := Y
% 2.88/3.25 Z := Z
% 2.88/3.25 end
% 2.88/3.25 permutation0:
% 2.88/3.25 0 ==> 0
% 2.88/3.25 end
% 2.88/3.25
% 2.88/3.25 resolution: (20693) {G3,W5,D2,L1,V2,M1} { para( Y, X, Y, X ) }.
% 2.88/3.25 parent0[0]: (246) {G2,W10,D2,L2,V4,M2} F(240) { ! para( X, Y, Z, T ), para
% 2.88/3.25 ( Z, T, Z, T ) }.
% 2.88/3.25 parent1[0]: (19891) {G17,W5,D2,L1,V2,M1} R(19884,72);r(8395) { para( Y, Z,
% 2.88/3.25 Z, Y ) }.
% 2.88/3.25 substitution0:
% 2.88/3.25 X := X
% 2.88/3.25 Y := Y
% 2.88/3.25 Z := Y
% 2.88/3.25 T := X
% 2.88/3.25 end
% 2.88/3.25 substitution1:
% 2.88/3.25 X := Z
% 2.88/3.25 Y := X
% 2.88/3.25 Z := Y
% 2.88/3.25 end
% 2.88/3.25
% 2.88/3.25 subsumption: (19892) {G18,W5,D2,L1,V2,M1} R(19891,246) { para( X, Y, X, Y )
% 2.88/3.25 }.
% 2.88/3.25 parent0: (20693) {G3,W5,D2,L1,V2,M1} { para( Y, X, Y, X ) }.
% 2.88/3.25 substitution0:
% 2.88/3.25 X := Y
% 2.88/3.25 Y := X
% 2.88/3.25 end
% 2.88/3.25 permutation0:
% 2.88/3.25 0 ==> 0
% 2.88/3.25 end
% 2.88/3.25
% 2.88/3.25 resolution: (20694) {G2,W10,D2,L2,V3,M2} { cyclic( Z, Y, X, X ), ! para( X
% 2.88/3.25 , Z, X, Z ) }.
% 2.88/3.25 parent0[0]: (810) {G1,W14,D2,L3,V3,M3} R(42,39) { ! coll( X, X, Y ), cyclic
% 2.88/3.25 ( Z, Y, X, X ), ! para( X, Z, X, Z ) }.
% 2.88/3.25 parent1[0]: (8011) {G17,W4,D2,L1,V3,M1} R(7998,2);r(7998) { coll( Z, Y, X )
% 2.88/3.25 }.
% 2.88/3.25 substitution0:
% 2.88/3.25 X := X
% 2.88/3.25 Y := Y
% 2.88/3.25 Z := Z
% 2.88/3.25 end
% 2.88/3.25 substitution1:
% 2.88/3.25 X := Y
% 2.88/3.25 Y := X
% 2.88/3.25 Z := X
% 2.88/3.25 end
% 2.88/3.25
% 2.88/3.25 resolution: (20695) {G3,W5,D2,L1,V3,M1} { cyclic( X, Y, Z, Z ) }.
% 2.88/3.25 parent0[1]: (20694) {G2,W10,D2,L2,V3,M2} { cyclic( Z, Y, X, X ), ! para( X
% 2.88/3.25 , Z, X, Z ) }.
% 2.88/3.25 parent1[0]: (19892) {G18,W5,D2,L1,V2,M1} R(19891,246) { para( X, Y, X, Y )
% 2.88/3.25 }.
% 2.88/3.25 substitution0:
% 2.88/3.25 X := Z
% 2.88/3.25 Y := Y
% 2.88/3.25 Z := X
% 2.88/3.25 end
% 2.88/3.25 substitution1:
% 2.88/3.25 X := Z
% 2.88/3.25 Y := X
% 2.88/3.25 end
% 2.88/3.25
% 2.88/3.25 subsumption: (20095) {G19,W5,D2,L1,V3,M1} S(810);r(8011);r(19892) { cyclic
% 2.88/3.25 ( Z, Y, X, X ) }.
% 2.88/3.25 parent0: (20695) {G3,W5,D2,L1,V3,M1} { cyclic( X, Y, Z, Z ) }.
% 2.88/3.25 substitution0:
% 2.88/3.25 X := Z
% 2.88/3.25 Y := Y
% 2.88/3.25 Z := X
% 2.88/3.25 end
% 2.88/3.25 permutation0:
% 2.88/3.25 0 ==> 0
% 2.88/3.25 end
% 2.88/3.25
% 2.88/3.25 resolution: (20696) {G2,W5,D2,L1,V3,M1} { cyclic( Y, Z, X, Z ) }.
% 2.88/3.25 parent0[0]: (357) {G1,W10,D2,L2,V4,M2} R(15,14) { ! cyclic( X, Y, Z, T ),
% 2.88/3.25 cyclic( Y, Z, X, T ) }.
% 2.88/3.25 parent1[0]: (20095) {G19,W5,D2,L1,V3,M1} S(810);r(8011);r(19892) { cyclic(
% 2.88/3.25 Z, Y, X, X ) }.
% 2.88/3.25 substitution0:
% 2.88/3.25 X := X
% 2.88/3.25 Y := Y
% 2.88/3.25 Z := Z
% 2.88/3.25 T := Z
% 2.88/3.25 end
% 2.88/3.25 substitution1:
% 2.88/3.25 X := Z
% 2.88/3.25 Y := Y
% 2.88/3.25 Z := X
% 2.88/3.25 end
% 2.88/3.25
% 2.88/3.25 subsumption: (20137) {G20,W5,D2,L1,V3,M1} R(20095,357) { cyclic( X, Y, Z, Y
% 2.88/3.25 ) }.
% 2.88/3.25 parent0: (20696) {G2,W5,D2,L1,V3,M1} { cyclic( Y, Z, X, Z ) }.
% 2.88/3.25 substitution0:
% 2.88/3.25 X := Z
% 2.88/3.25 Y := X
% 2.88/3.25 Z := Y
% 2.88/3.25 end
% 2.88/3.25 permutation0:
% 2.88/3.25 0 ==> 0
% 2.88/3.25 end
% 2.88/3.25
% 2.88/3.25 resolution: (20697) {G2,W5,D2,L1,V3,M1} { cyclic( X, Z, Z, Y ) }.
% 2.88/3.25 parent0[0]: (348) {G1,W10,D2,L2,V4,M2} R(14,13) { ! cyclic( X, Y, Z, T ),
% 2.88/3.25 cyclic( X, Z, T, Y ) }.
% 2.88/3.25 parent1[0]: (20095) {G19,W5,D2,L1,V3,M1} S(810);r(8011);r(19892) { cyclic(
% 2.88/3.25 Z, Y, X, X ) }.
% 2.88/3.25 substitution0:
% 2.88/3.25 X := X
% 2.88/3.25 Y := Y
% 2.88/3.25 Z := Z
% 2.88/3.25 T := Z
% 2.88/3.25 end
% 2.88/3.25 substitution1:
% 2.88/3.25 X := Z
% 2.88/3.25 Y := Y
% 2.88/3.25 Z := X
% 2.88/3.25 end
% 2.88/3.25
% 2.88/3.25 subsumption: (20139) {G20,W5,D2,L1,V3,M1} R(20095,348) { cyclic( X, Y, Y, Z
% 2.88/3.25 ) }.
% 2.88/3.25 parent0: (20697) {G2,W5,D2,L1,V3,M1} { cyclic( X, Z, Z, Y ) }.
% 2.88/3.25 substitution0:
% 2.88/3.25 X := X
% 2.88/3.25 Y := Z
% 2.88/3.25 Z := Y
% 2.88/3.25 end
% 2.88/3.25 permutation0:
% 2.88/3.25 0 ==> 0
% 2.88/3.25 end
% 2.88/3.25
% 2.88/3.25 resolution: (20699) {G2,W10,D2,L2,V4,M2} { ! cyclic( X, Y, Y, Z ), cyclic
% 2.88/3.25 ( Y, Y, Z, T ) }.
% 2.88/3.25 parent0[2]: (388) {G1,W15,D2,L3,V5,M3} R(16,13) { ! cyclic( X, Y, Z, T ),
% 2.88/3.25 cyclic( Y, Z, T, U ), ! cyclic( X, Y, U, Z ) }.
% 2.88/3.25 parent1[0]: (20137) {G20,W5,D2,L1,V3,M1} R(20095,357) { cyclic( X, Y, Z, Y
% 2.88/3.25 ) }.
% 2.88/3.25 substitution0:
% 2.88/3.25 X := X
% 2.88/3.25 Y := Y
% 2.88/3.25 Z := Y
% 2.88/3.25 T := Z
% 2.88/3.25 U := T
% 2.88/3.25 end
% 2.88/3.25 substitution1:
% 2.88/3.25 X := X
% 2.88/3.25 Y := Y
% 2.88/3.25 Z := T
% 2.88/3.25 end
% 2.88/3.25
% 2.88/3.25 resolution: (20700) {G3,W5,D2,L1,V3,M1} { cyclic( Y, Y, Z, T ) }.
% 2.88/3.25 parent0[0]: (20699) {G2,W10,D2,L2,V4,M2} { ! cyclic( X, Y, Y, Z ), cyclic
% 2.88/3.25 ( Y, Y, Z, T ) }.
% 2.88/3.25 parent1[0]: (20139) {G20,W5,D2,L1,V3,M1} R(20095,348) { cyclic( X, Y, Y, Z
% 2.88/3.25 ) }.
% 2.88/3.25 substitution0:
% 2.88/3.25 X := X
% 2.88/3.25 Y := Y
% 2.88/3.25 Z := Z
% 2.88/3.25 T := T
% 2.88/3.25 end
% 2.88/3.25 substitution1:
% 2.88/3.25 X := X
% 2.88/3.25 Y := Y
% 2.88/3.25 Z := Z
% 2.88/3.25 end
% 2.88/3.25
% 2.88/3.25 subsumption: (20144) {G21,W5,D2,L1,V3,M1} R(20137,388);r(20139) { cyclic( Y
% 2.88/3.25 , Y, Z, T ) }.
% 2.88/3.25 parent0: (20700) {G3,W5,D2,L1,V3,M1} { cyclic( Y, Y, Z, T ) }.
% 2.88/3.25 substitution0:
% 2.88/3.25 X := U
% 2.88/3.25 Y := Y
% 2.88/3.25 Z := Z
% 2.88/3.25 T := T
% 2.88/3.25 end
% 2.88/3.25 permutation0:
% 2.88/3.25 0 ==> 0
% 2.88/3.25 end
% 2.88/3.25
% 2.88/3.25 resolution: (20701) {G4,W5,D2,L1,V0,M1} { ! cyclic( skol22, skol22, skol20
% 2.88/3.25 , skol24 ) }.
% 2.88/3.25 parent0[0]: (413) {G3,W10,D2,L2,V1,M2} R(358,16) { ! cyclic( X, skol22,
% 2.88/3.25 skol20, skol23 ), ! cyclic( X, skol22, skol20, skol24 ) }.
% 2.88/3.25 parent1[0]: (20144) {G21,W5,D2,L1,V3,M1} R(20137,388);r(20139) { cyclic( Y
% 2.88/3.25 , Y, Z, T ) }.
% 2.88/3.25 substitution0:
% 2.88/3.25 X := skol22
% 2.88/3.25 end
% 2.88/3.25 substitution1:
% 2.88/3.25 X := X
% 2.88/3.25 Y := skol22
% 2.88/3.25 Z := skol20
% 2.88/3.25 T := skol23
% 2.88/3.25 end
% 2.88/3.25
% 2.88/3.25 resolution: (20703) {G5,W0,D0,L0,V0,M0} { }.
% 2.88/3.25 parent0[0]: (20701) {G4,W5,D2,L1,V0,M1} { ! cyclic( skol22, skol22, skol20
% 2.88/3.25 , skol24 ) }.
% 2.88/3.25 parent1[0]: (20144) {G21,W5,D2,L1,V3,M1} R(20137,388);r(20139) { cyclic( Y
% 2.88/3.25 , Y, Z, T ) }.
% 2.88/3.25 substitution0:
% 2.88/3.25 end
% 2.88/3.25 substitution1:
% 2.88/3.25 X := X
% 2.88/3.25 Y := skol22
% 2.88/3.25 Z := skol20
% 2.88/3.25 T := skol24
% 2.88/3.25 end
% 2.88/3.25
% 2.88/3.25 subsumption: (20152) {G22,W0,D0,L0,V0,M0} R(20144,413);r(20144) { }.
% 2.88/3.25 parent0: (20703) {G5,W0,D0,L0,V0,M0} { }.
% 2.88/3.25 substitution0:
% 2.88/3.25 end
% 2.88/3.25 permutation0:
% 2.88/3.25 end
% 2.88/3.25
% 2.88/3.25 Proof check complete!
% 2.88/3.25
% 2.88/3.25 Memory use:
% 2.88/3.25
% 2.88/3.25 space for terms: 329622
% 2.88/3.25 space for clauses: 1029813
% 2.88/3.25
% 2.88/3.25
% 2.88/3.25 clauses generated: 112859
% 2.88/3.25 clauses kept: 20153
% 2.88/3.25 clauses selected: 1751
% 2.88/3.25 clauses deleted: 7056
% 2.88/3.25 clauses inuse deleted: 498
% 2.88/3.25
% 2.88/3.25 subsentry: 1870983
% 2.88/3.25 literals s-matched: 1240523
% 2.88/3.25 literals matched: 675811
% 2.88/3.25 full subsumption: 272239
% 2.88/3.25
% 2.88/3.25 checksum: 1105199288
% 2.88/3.25
% 2.88/3.25
% 2.88/3.25 Bliksem ended
%------------------------------------------------------------------------------