TSTP Solution File: GEO634+1 by Bliksem---1.12
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : GEO634+1 : TPTP v8.1.0. Released v7.5.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n006.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 02:55:15 EDT 2022
% Result : Theorem 3.86s 4.24s
% Output : Refutation 3.86s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12 % Problem : GEO634+1 : TPTP v8.1.0. Released v7.5.0.
% 0.12/0.13 % Command : bliksem %s
% 0.13/0.35 % Computer : n006.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % DateTime : Sat Jun 18 05:46:55 EDT 2022
% 0.13/0.35 % CPUTime :
% 0.82/1.20 *** allocated 10000 integers for termspace/termends
% 0.82/1.20 *** allocated 10000 integers for clauses
% 0.82/1.20 *** allocated 10000 integers for justifications
% 0.82/1.20 Bliksem 1.12
% 0.82/1.20
% 0.82/1.20
% 0.82/1.20 Automatic Strategy Selection
% 0.82/1.20
% 0.82/1.20 *** allocated 15000 integers for termspace/termends
% 0.82/1.20
% 0.82/1.20 Clauses:
% 0.82/1.20
% 0.82/1.20 { ! coll( X, Y, Z ), coll( X, Z, Y ) }.
% 0.82/1.20 { ! coll( X, Y, Z ), coll( Y, X, Z ) }.
% 0.82/1.20 { ! coll( X, T, Y ), ! coll( X, T, Z ), coll( Y, Z, X ) }.
% 0.82/1.20 { ! para( X, Y, Z, T ), para( X, Y, T, Z ) }.
% 0.82/1.20 { ! para( X, Y, Z, T ), para( Z, T, X, Y ) }.
% 0.82/1.20 { ! para( X, Y, U, W ), ! para( U, W, Z, T ), para( X, Y, Z, T ) }.
% 0.82/1.20 { ! perp( X, Y, Z, T ), perp( X, Y, T, Z ) }.
% 0.82/1.20 { ! perp( X, Y, Z, T ), perp( Z, T, X, Y ) }.
% 0.82/1.20 { ! perp( X, Y, U, W ), ! perp( U, W, Z, T ), para( X, Y, Z, T ) }.
% 0.82/1.20 { ! para( X, Y, U, W ), ! perp( U, W, Z, T ), perp( X, Y, Z, T ) }.
% 0.82/1.20 { ! midp( Z, Y, X ), midp( Z, X, Y ) }.
% 0.82/1.20 { ! cong( T, X, T, Y ), ! cong( T, X, T, Z ), circle( T, X, Y, Z ) }.
% 0.82/1.20 { ! cong( U, X, U, Y ), ! cong( U, X, U, Z ), ! cong( U, X, U, T ), cyclic
% 0.82/1.20 ( X, Y, Z, T ) }.
% 0.82/1.20 { ! cyclic( X, Y, Z, T ), cyclic( X, Y, T, Z ) }.
% 0.82/1.20 { ! cyclic( X, Y, Z, T ), cyclic( X, Z, Y, T ) }.
% 0.82/1.20 { ! cyclic( X, Y, Z, T ), cyclic( Y, X, Z, T ) }.
% 0.82/1.20 { ! cyclic( U, X, Y, Z ), ! cyclic( U, X, Y, T ), cyclic( X, Y, Z, T ) }.
% 0.82/1.20 { ! eqangle( X, Y, Z, T, U, W, V0, V1 ), eqangle( Y, X, Z, T, U, W, V0, V1
% 0.82/1.20 ) }.
% 0.82/1.20 { ! eqangle( X, Y, Z, T, U, W, V0, V1 ), eqangle( Z, T, X, Y, V0, V1, U, W
% 0.82/1.20 ) }.
% 0.82/1.20 { ! eqangle( X, Y, Z, T, U, W, V0, V1 ), eqangle( U, W, V0, V1, X, Y, Z, T
% 0.82/1.20 ) }.
% 0.82/1.20 { ! eqangle( X, Y, Z, T, U, W, V0, V1 ), eqangle( X, Y, U, W, Z, T, V0, V1
% 0.82/1.20 ) }.
% 0.82/1.20 { ! eqangle( X, Y, Z, T, V2, V3, V4, V5 ), ! eqangle( V2, V3, V4, V5, U, W
% 0.82/1.20 , V0, V1 ), eqangle( X, Y, Z, T, U, W, V0, V1 ) }.
% 0.82/1.20 { ! cong( X, Y, Z, T ), cong( X, Y, T, Z ) }.
% 0.82/1.20 { ! cong( X, Y, Z, T ), cong( Z, T, X, Y ) }.
% 0.82/1.20 { ! cong( X, Y, U, W ), ! cong( U, W, Z, T ), cong( X, Y, Z, T ) }.
% 0.82/1.20 { ! eqratio( X, Y, Z, T, U, W, V0, V1 ), eqratio( Y, X, Z, T, U, W, V0, V1
% 0.82/1.20 ) }.
% 0.82/1.20 { ! eqratio( X, Y, Z, T, U, W, V0, V1 ), eqratio( Z, T, X, Y, V0, V1, U, W
% 0.82/1.20 ) }.
% 0.82/1.20 { ! eqratio( X, Y, Z, T, U, W, V0, V1 ), eqratio( U, W, V0, V1, X, Y, Z, T
% 0.82/1.20 ) }.
% 0.82/1.20 { ! eqratio( X, Y, Z, T, U, W, V0, V1 ), eqratio( X, Y, U, W, Z, T, V0, V1
% 0.82/1.20 ) }.
% 0.82/1.20 { ! eqratio( X, Y, Z, T, V2, V3, V4, V5 ), ! eqratio( V2, V3, V4, V5, U, W
% 0.82/1.20 , V0, V1 ), eqratio( X, Y, Z, T, U, W, V0, V1 ) }.
% 0.82/1.20 { ! simtri( X, Z, Y, T, W, U ), simtri( X, Y, Z, T, U, W ) }.
% 0.82/1.20 { ! simtri( Y, X, Z, U, T, W ), simtri( X, Y, Z, T, U, W ) }.
% 0.82/1.20 { ! simtri( T, U, W, X, Y, Z ), simtri( X, Y, Z, T, U, W ) }.
% 0.82/1.20 { ! simtri( X, Y, Z, V0, V1, V2 ), ! simtri( V0, V1, V2, T, U, W ), simtri
% 0.82/1.20 ( X, Y, Z, T, U, W ) }.
% 0.82/1.20 { ! contri( X, Z, Y, T, W, U ), contri( X, Y, Z, T, U, W ) }.
% 0.82/1.20 { ! contri( Y, X, Z, U, T, W ), contri( X, Y, Z, T, U, W ) }.
% 0.82/1.20 { ! contri( T, U, W, X, Y, Z ), contri( X, Y, Z, T, U, W ) }.
% 0.82/1.20 { ! contri( X, Y, Z, V0, V1, V2 ), ! contri( V0, V1, V2, T, U, W ), contri
% 0.82/1.20 ( X, Y, Z, T, U, W ) }.
% 0.82/1.20 { ! eqangle( X, Y, U, W, Z, T, U, W ), para( X, Y, Z, T ) }.
% 0.82/1.20 { ! para( X, Y, Z, T ), eqangle( X, Y, U, W, Z, T, U, W ) }.
% 0.82/1.20 { ! cyclic( X, Y, Z, T ), eqangle( Z, X, Z, Y, T, X, T, Y ) }.
% 0.82/1.20 { ! eqangle( Z, X, Z, Y, T, X, T, Y ), coll( Z, T, X ), cyclic( X, Y, Z, T
% 0.82/1.20 ) }.
% 0.82/1.20 { ! eqangle( Z, X, Z, Y, T, X, T, Y ), ! coll( Z, T, Y ), cyclic( X, Y, Z,
% 0.82/1.20 T ) }.
% 0.82/1.20 { ! cyclic( X, Y, U, Z ), ! cyclic( X, Y, U, T ), ! cyclic( X, Y, U, W ), !
% 0.82/1.20 eqangle( U, X, U, Y, W, Z, W, T ), cong( X, Y, Z, T ) }.
% 0.82/1.20 { ! midp( Z, U, X ), ! midp( T, U, Y ), para( Z, T, X, Y ) }.
% 0.82/1.20 { ! midp( U, X, T ), ! para( U, Z, T, Y ), ! coll( Z, X, Y ), midp( Z, X, Y
% 0.82/1.20 ) }.
% 0.82/1.20 { ! cong( Z, X, Z, Y ), eqangle( Z, X, X, Y, X, Y, Z, Y ) }.
% 0.82/1.20 { ! eqangle( Z, X, X, Y, X, Y, Z, Y ), coll( Z, X, Y ), cong( Z, X, Z, Y )
% 0.82/1.20 }.
% 0.82/1.20 { ! circle( U, X, Y, Z ), ! perp( U, X, X, T ), eqangle( X, T, X, Y, Z, X,
% 0.82/1.20 Z, Y ) }.
% 0.82/1.20 { ! circle( Y, X, T, U ), ! eqangle( X, Z, X, T, U, X, U, T ), perp( Y, X,
% 0.82/1.20 X, Z ) }.
% 0.82/1.20 { ! circle( T, X, Y, Z ), ! midp( U, Y, Z ), eqangle( X, Y, X, Z, T, Y, T,
% 0.82/1.20 U ) }.
% 0.82/1.20 { ! circle( U, T, X, Y ), ! coll( Z, X, Y ), ! eqangle( T, X, T, Y, U, X, U
% 0.82/1.20 , Z ), midp( Z, X, Y ) }.
% 0.82/1.20 { ! perp( X, Y, Y, T ), ! midp( Z, X, T ), cong( X, Z, Y, Z ) }.
% 0.82/1.20 { ! circle( T, X, Y, Z ), ! coll( T, X, Z ), perp( X, Y, Y, Z ) }.
% 0.82/1.20 { ! cyclic( X, Y, Z, T ), ! para( X, Y, Z, T ), eqangle( X, T, Z, T, Z, T,
% 0.82/1.20 Z, Y ) }.
% 0.82/1.20 { ! midp( T, X, Y ), ! perp( Z, T, X, Y ), cong( Z, X, Z, Y ) }.
% 0.82/1.20 { ! cong( X, Z, Y, Z ), ! cong( X, T, Y, T ), perp( X, Y, Z, T ) }.
% 0.82/1.20 { ! cong( X, Y, T, Y ), ! cong( X, Z, T, Z ), ! cyclic( X, T, Y, Z ), perp
% 0.82/1.20 ( Y, X, X, Z ) }.
% 0.82/1.20 { ! eqangle( X, Y, Y, Z, T, U, U, W ), ! eqangle( X, Z, Y, Z, T, W, U, W )
% 0.82/1.20 , coll( X, Y, Z ), simtri( X, Y, Z, T, U, W ) }.
% 0.82/1.20 { ! simtri( X, Y, Z, T, U, W ), eqratio( X, Y, X, Z, T, U, T, W ) }.
% 0.82/1.20 { ! simtri( X, Y, Z, T, U, W ), eqangle( X, Y, Y, Z, T, U, U, W ) }.
% 0.82/1.20 { ! simtri( X, Y, Z, T, U, W ), ! cong( X, Y, T, U ), contri( X, Y, Z, T, U
% 0.82/1.20 , W ) }.
% 0.82/1.20 { ! contri( X, Y, U, Z, T, W ), cong( X, Y, Z, T ) }.
% 0.82/1.20 { ! midp( U, X, Y ), ! midp( U, Z, T ), para( X, Z, Y, T ) }.
% 0.82/1.20 { ! midp( Z, T, U ), ! para( T, X, U, Y ), ! para( T, Y, U, X ), midp( Z, X
% 0.82/1.20 , Y ) }.
% 0.82/1.20 { ! para( X, Y, Z, T ), ! coll( U, X, Z ), ! coll( U, Y, T ), eqratio( U, X
% 0.82/1.20 , X, Z, U, Y, Y, T ) }.
% 0.82/1.20 { ! para( X, Y, X, Z ), coll( X, Y, Z ) }.
% 0.82/1.20 { ! cong( X, Y, X, Z ), ! coll( X, Y, Z ), midp( X, Y, Z ) }.
% 0.82/1.20 { ! midp( X, Y, Z ), cong( X, Y, X, Z ) }.
% 0.82/1.20 { ! midp( X, Y, Z ), coll( X, Y, Z ) }.
% 0.82/1.20 { ! midp( U, X, Y ), ! midp( W, Z, T ), eqratio( U, X, X, Y, W, Z, Z, T ) }
% 0.82/1.20 .
% 0.82/1.20 { ! eqangle( X, Y, Z, T, Z, T, X, Y ), para( X, Y, Z, T ), perp( X, Y, Z, T
% 0.82/1.20 ) }.
% 0.82/1.20 { ! eqangle( X, Y, Z, T, Z, T, X, Y ), perp( X, Y, Z, T ), para( X, Y, Z, T
% 0.82/1.20 ) }.
% 0.82/1.20 { ! eqangle( X, Y, Z, T, U, W, V0, V1 ), ! para( U, W, V0, V1 ), para( X, Y
% 0.82/1.20 , Z, T ) }.
% 0.82/1.20 { ! eqangle( X, Y, Z, T, U, W, V0, V1 ), ! perp( U, W, V0, V1 ), perp( X, Y
% 0.82/1.20 , Z, T ) }.
% 0.82/1.20 { ! eqratio( X, Y, Z, T, U, W, V0, V1 ), ! cong( U, W, V0, V1 ), cong( X, Y
% 0.82/1.20 , Z, T ) }.
% 0.82/1.20 { ! perp( Z, Y, Y, X ), ! eqangle( T, Z, Y, Z, Y, Z, X, Z ), coll( skol1( U
% 0.82/1.20 , W, Z, T ), Z, T ) }.
% 0.82/1.20 { ! perp( Z, Y, Y, X ), ! eqangle( T, Z, Y, Z, Y, Z, X, Z ), coll( skol1( X
% 0.82/1.20 , Y, Z, T ), X, Y ) }.
% 0.82/1.20 { ! cong( Z, X, Z, Y ), ! eqangle( X, Z, Z, T, Z, T, Z, Y ), coll( skol2( U
% 0.82/1.20 , W, Z, T ), Z, T ) }.
% 0.82/1.20 { ! cong( Z, X, Z, Y ), ! eqangle( X, Z, Z, T, Z, T, Z, Y ), coll( Y, X,
% 0.82/1.20 skol2( X, Y, Z, T ) ) }.
% 0.82/1.20 { ! perp( Z, T, X, Y ), ! eqangle( X, Z, Z, T, Z, T, Z, Y ), coll( skol3( U
% 0.82/1.20 , W, Z, T ), Z, T ) }.
% 0.82/1.20 { ! perp( Z, T, X, Y ), ! eqangle( X, Z, Z, T, Z, T, Z, Y ), coll( Y, X,
% 0.82/1.20 skol3( X, Y, Z, T ) ) }.
% 0.82/1.20 { ! perp( Z, T, X, Y ), ! cong( Z, X, Z, Y ), coll( skol4( U, W, Z, T ), Z
% 0.82/1.20 , T ) }.
% 0.82/1.20 { ! perp( Z, T, X, Y ), ! cong( Z, X, Z, Y ), coll( Y, X, skol4( X, Y, Z, T
% 0.82/1.20 ) ) }.
% 0.82/1.20 { ! eqangle( X, Z, Y, Z, X, T, Y, U ), coll( X, Y, Z ), cyclic( T, Y, Z,
% 0.82/1.20 skol5( W, Y, Z, T ) ) }.
% 0.82/1.20 { ! eqangle( X, Z, Y, Z, X, T, Y, U ), coll( X, Y, Z ), eqangle( X, Z, Y, Z
% 0.82/1.20 , X, skol5( X, Y, Z, T ), Y, skol5( X, Y, Z, T ) ) }.
% 0.82/1.20 { ! midp( U, X, Y ), ! midp( W, Z, T ), midp( skol6( X, V0, V1, T, V2, V3 )
% 0.82/1.20 , X, T ) }.
% 0.82/1.20 { ! midp( U, X, Y ), ! midp( W, Z, T ), para( skol6( X, V0, Z, T, V1, W ),
% 0.82/1.20 W, X, Z ) }.
% 0.82/1.20 { ! midp( U, X, Y ), ! midp( W, Z, T ), para( skol6( X, Y, Z, T, U, W ), U
% 0.82/1.20 , Y, T ) }.
% 0.82/1.20 { ! midp( Z, X, Y ), ! midp( W, T, U ), ! coll( T, X, Y ), ! coll( U, X, Y
% 0.82/1.20 ), midp( skol7( X, V0 ), X, V0 ) }.
% 0.82/1.20 { ! midp( T, X, U ), ! para( X, W, Z, T ), ! para( X, W, U, Y ), ! coll( W
% 0.82/1.20 , Y, Z ), coll( skol8( V0, V1, Z, T ), T, Z ) }.
% 0.82/1.20 { ! midp( T, X, U ), ! para( X, W, Z, T ), ! para( X, W, U, Y ), ! coll( W
% 0.82/1.20 , Y, Z ), coll( skol8( X, Y, Z, T ), X, Y ) }.
% 0.82/1.20 { ! cong( T, Z, T, U ), ! perp( X, Y, Y, T ), cong( T, Z, T, skol9( W, V0,
% 0.82/1.20 Z, T ) ) }.
% 0.82/1.20 { ! cong( T, Z, T, U ), ! perp( X, Y, Y, T ), cong( Y, Z, Y, skol9( W, Y, Z
% 0.82/1.20 , T ) ) }.
% 0.82/1.20 { ! cong( T, Z, T, U ), ! perp( X, Y, Y, T ), para( skol9( X, Y, Z, T ), Z
% 0.82/1.20 , X, Y ) }.
% 0.82/1.20 { ! perp( X, T, Y, Z ), ! perp( Y, T, X, Z ), coll( skol10( U, Y, Z ), Z, Y
% 0.82/1.20 ) }.
% 0.82/1.20 { ! perp( X, T, Y, Z ), ! perp( Y, T, X, Z ), perp( X, skol10( X, Y, Z ), Z
% 0.82/1.20 , Y ) }.
% 0.82/1.20 { ! perp( X, T, Y, Z ), ! perp( Y, T, X, Z ), alpha1( X, Y, Z ) }.
% 0.82/1.20 { ! alpha1( X, Y, Z ), coll( skol11( X, T, Z ), Z, X ) }.
% 0.82/1.20 { ! alpha1( X, Y, Z ), perp( Y, skol11( X, Y, Z ), Z, X ) }.
% 0.82/1.20 { ! coll( T, Z, X ), ! perp( Y, T, Z, X ), alpha1( X, Y, Z ) }.
% 0.82/1.20 { ! circle( Y, X, Z, T ), perp( skol12( X, Y ), X, X, Y ) }.
% 3.33/3.76 { ! circle( W, X, Y, Z ), ! cong( W, X, W, T ), ! cong( U, X, U, Y ), W = U
% 3.33/3.76 , alpha2( X, Z, U, skol13( X, V0, Z, V1, U ) ) }.
% 3.33/3.76 { ! circle( W, X, Y, Z ), ! cong( W, X, W, T ), ! cong( U, X, U, Y ), W = U
% 3.33/3.76 , coll( skol21( V0, Y, T, V1 ), Y, T ) }.
% 3.33/3.76 { ! circle( W, X, Y, Z ), ! cong( W, X, W, T ), ! cong( U, X, U, Y ), W = U
% 3.33/3.76 , cong( skol21( X, Y, T, U ), U, U, X ) }.
% 3.33/3.76 { ! alpha2( X, Y, Z, T ), coll( T, X, Y ) }.
% 3.33/3.76 { ! alpha2( X, Y, Z, T ), cong( T, Z, Z, X ) }.
% 3.33/3.76 { ! coll( T, X, Y ), ! cong( T, Z, Z, X ), alpha2( X, Y, Z, T ) }.
% 3.33/3.76 { ! cyclic( X, Y, Z, T ), ! para( X, Y, Z, T ), ! midp( U, X, Y ), circle(
% 3.33/3.76 skol14( X, Y, Z ), X, Y, Z ) }.
% 3.33/3.76 { ! perp( X, Z, Z, Y ), ! cyclic( X, Y, Z, T ), circle( skol15( X, Y, Z ),
% 3.33/3.76 X, Y, Z ) }.
% 3.33/3.76 { ! perp( X, U, U, T ), ! coll( T, Y, Z ), coll( skol16( W, Y, Z ), Y, Z )
% 3.33/3.76 }.
% 3.33/3.76 { ! perp( X, U, U, T ), ! coll( T, Y, Z ), perp( skol16( X, Y, Z ), X, Y, Z
% 3.33/3.76 ) }.
% 3.33/3.76 { ! perp( X, Z, X, Y ), ! perp( Y, X, Y, T ), ! midp( U, Z, T ), midp(
% 3.33/3.76 skol17( X, Y ), X, Y ) }.
% 3.33/3.76 { ! cong( Y, X, Y, Z ), ! perp( X, Y, Y, Z ), coll( X, Y, skol18( X, Y ) )
% 3.33/3.76 }.
% 3.33/3.76 { ! cong( Y, X, Y, Z ), ! perp( X, Y, Y, Z ), cong( Y, X, Y, skol18( X, Y )
% 3.33/3.76 ) }.
% 3.33/3.76 { ! para( U, W, X, Y ), ! coll( Z, U, X ), ! coll( Z, W, Y ), ! coll( T, U
% 3.33/3.76 , W ), coll( Z, T, skol19( V0, V1, Z, T ) ) }.
% 3.33/3.76 { ! para( U, W, X, Y ), ! coll( Z, U, X ), ! coll( Z, W, Y ), ! coll( T, U
% 3.33/3.76 , W ), coll( skol19( X, Y, Z, T ), X, Y ) }.
% 3.33/3.76 { circle( skol27, skol20, skol25, skol26 ) }.
% 3.33/3.76 { midp( skol28, skol26, skol25 ) }.
% 3.33/3.76 { circle( skol27, skol20, skol22, skol29 ) }.
% 3.33/3.76 { coll( skol22, skol20, skol28 ) }.
% 3.33/3.76 { eqangle( skol30, skol20, skol20, skol25, skol26, skol20, skol20, skol28 )
% 3.33/3.76 }.
% 3.33/3.76 { circle( skol27, skol20, skol30, skol31 ) }.
% 3.33/3.76 { coll( skol32, skol25, skol26 ) }.
% 3.33/3.76 { coll( skol32, skol20, skol30 ) }.
% 3.33/3.76 { perp( skol23, skol30, skol25, skol26 ) }.
% 3.33/3.76 { coll( skol23, skol25, skol26 ) }.
% 3.33/3.76 { perp( skol24, skol30, skol20, skol25 ) }.
% 3.33/3.76 { coll( skol24, skol20, skol25 ) }.
% 3.33/3.76 { ! perp( skol23, skol24, skol22, skol20 ) }.
% 3.33/3.76
% 3.33/3.76 percentage equality = 0.008646, percentage horn = 0.930233
% 3.33/3.76 This is a problem with some equality
% 3.33/3.76
% 3.33/3.76
% 3.33/3.76
% 3.33/3.76 Options Used:
% 3.33/3.76
% 3.33/3.76 useres = 1
% 3.33/3.76 useparamod = 1
% 3.33/3.76 useeqrefl = 1
% 3.33/3.76 useeqfact = 1
% 3.33/3.76 usefactor = 1
% 3.33/3.76 usesimpsplitting = 0
% 3.33/3.76 usesimpdemod = 5
% 3.33/3.76 usesimpres = 3
% 3.33/3.76
% 3.33/3.76 resimpinuse = 1000
% 3.33/3.76 resimpclauses = 20000
% 3.33/3.76 substype = eqrewr
% 3.33/3.76 backwardsubs = 1
% 3.33/3.76 selectoldest = 5
% 3.33/3.76
% 3.33/3.76 litorderings [0] = split
% 3.33/3.76 litorderings [1] = extend the termordering, first sorting on arguments
% 3.33/3.76
% 3.33/3.76 termordering = kbo
% 3.33/3.76
% 3.33/3.76 litapriori = 0
% 3.33/3.76 termapriori = 1
% 3.33/3.76 litaposteriori = 0
% 3.33/3.76 termaposteriori = 0
% 3.33/3.76 demodaposteriori = 0
% 3.33/3.76 ordereqreflfact = 0
% 3.33/3.76
% 3.33/3.76 litselect = negord
% 3.33/3.76
% 3.33/3.76 maxweight = 15
% 3.33/3.76 maxdepth = 30000
% 3.33/3.76 maxlength = 115
% 3.33/3.76 maxnrvars = 195
% 3.33/3.76 excuselevel = 1
% 3.33/3.76 increasemaxweight = 1
% 3.33/3.76
% 3.33/3.76 maxselected = 10000000
% 3.33/3.76 maxnrclauses = 10000000
% 3.33/3.76
% 3.33/3.76 showgenerated = 0
% 3.33/3.76 showkept = 0
% 3.33/3.76 showselected = 0
% 3.33/3.76 showdeleted = 0
% 3.33/3.76 showresimp = 1
% 3.33/3.76 showstatus = 2000
% 3.33/3.76
% 3.33/3.76 prologoutput = 0
% 3.33/3.76 nrgoals = 5000000
% 3.33/3.76 totalproof = 1
% 3.33/3.77
% 3.33/3.77 Symbols occurring in the translation:
% 3.33/3.77
% 3.33/3.77 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 3.33/3.77 . [1, 2] (w:1, o:45, a:1, s:1, b:0),
% 3.33/3.77 ! [4, 1] (w:0, o:40, a:1, s:1, b:0),
% 3.33/3.77 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 3.33/3.77 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 3.33/3.77 coll [38, 3] (w:1, o:73, a:1, s:1, b:0),
% 3.33/3.77 para [40, 4] (w:1, o:81, a:1, s:1, b:0),
% 3.33/3.77 perp [43, 4] (w:1, o:82, a:1, s:1, b:0),
% 3.33/3.77 midp [45, 3] (w:1, o:74, a:1, s:1, b:0),
% 3.33/3.77 cong [47, 4] (w:1, o:83, a:1, s:1, b:0),
% 3.33/3.77 circle [48, 4] (w:1, o:84, a:1, s:1, b:0),
% 3.33/3.77 cyclic [49, 4] (w:1, o:85, a:1, s:1, b:0),
% 3.33/3.77 eqangle [54, 8] (w:1, o:100, a:1, s:1, b:0),
% 3.33/3.77 eqratio [57, 8] (w:1, o:101, a:1, s:1, b:0),
% 3.33/3.77 simtri [59, 6] (w:1, o:97, a:1, s:1, b:0),
% 3.33/3.77 contri [60, 6] (w:1, o:98, a:1, s:1, b:0),
% 3.33/3.77 alpha1 [68, 3] (w:1, o:75, a:1, s:1, b:1),
% 3.33/3.77 alpha2 [69, 4] (w:1, o:86, a:1, s:1, b:1),
% 3.33/3.77 skol1 [70, 4] (w:1, o:87, a:1, s:1, b:1),
% 3.33/3.77 skol2 [71, 4] (w:1, o:89, a:1, s:1, b:1),
% 3.33/3.77 skol3 [72, 4] (w:1, o:91, a:1, s:1, b:1),
% 3.86/4.24 skol4 [73, 4] (w:1, o:92, a:1, s:1, b:1),
% 3.86/4.24 skol5 [74, 4] (w:1, o:93, a:1, s:1, b:1),
% 3.86/4.24 skol6 [75, 6] (w:1, o:99, a:1, s:1, b:1),
% 3.86/4.24 skol7 [76, 2] (w:1, o:69, a:1, s:1, b:1),
% 3.86/4.24 skol8 [77, 4] (w:1, o:94, a:1, s:1, b:1),
% 3.86/4.24 skol9 [78, 4] (w:1, o:95, a:1, s:1, b:1),
% 3.86/4.24 skol10 [79, 3] (w:1, o:76, a:1, s:1, b:1),
% 3.86/4.24 skol11 [80, 3] (w:1, o:77, a:1, s:1, b:1),
% 3.86/4.24 skol12 [81, 2] (w:1, o:70, a:1, s:1, b:1),
% 3.86/4.24 skol13 [82, 5] (w:1, o:96, a:1, s:1, b:1),
% 3.86/4.24 skol14 [83, 3] (w:1, o:78, a:1, s:1, b:1),
% 3.86/4.24 skol15 [84, 3] (w:1, o:79, a:1, s:1, b:1),
% 3.86/4.24 skol16 [85, 3] (w:1, o:80, a:1, s:1, b:1),
% 3.86/4.24 skol17 [86, 2] (w:1, o:71, a:1, s:1, b:1),
% 3.86/4.24 skol18 [87, 2] (w:1, o:72, a:1, s:1, b:1),
% 3.86/4.24 skol19 [88, 4] (w:1, o:88, a:1, s:1, b:1),
% 3.86/4.24 skol20 [89, 0] (w:1, o:28, a:1, s:1, b:1),
% 3.86/4.24 skol21 [90, 4] (w:1, o:90, a:1, s:1, b:1),
% 3.86/4.24 skol22 [91, 0] (w:1, o:29, a:1, s:1, b:1),
% 3.86/4.24 skol23 [92, 0] (w:1, o:30, a:1, s:1, b:1),
% 3.86/4.24 skol24 [93, 0] (w:1, o:31, a:1, s:1, b:1),
% 3.86/4.24 skol25 [94, 0] (w:1, o:32, a:1, s:1, b:1),
% 3.86/4.24 skol26 [95, 0] (w:1, o:33, a:1, s:1, b:1),
% 3.86/4.24 skol27 [96, 0] (w:1, o:34, a:1, s:1, b:1),
% 3.86/4.24 skol28 [97, 0] (w:1, o:35, a:1, s:1, b:1),
% 3.86/4.24 skol29 [98, 0] (w:1, o:36, a:1, s:1, b:1),
% 3.86/4.24 skol30 [99, 0] (w:1, o:37, a:1, s:1, b:1),
% 3.86/4.24 skol31 [100, 0] (w:1, o:38, a:1, s:1, b:1),
% 3.86/4.24 skol32 [101, 0] (w:1, o:39, a:1, s:1, b:1).
% 3.86/4.24
% 3.86/4.24
% 3.86/4.24 Starting Search:
% 3.86/4.24
% 3.86/4.24 *** allocated 15000 integers for clauses
% 3.86/4.24 *** allocated 22500 integers for clauses
% 3.86/4.24 *** allocated 33750 integers for clauses
% 3.86/4.24 *** allocated 50625 integers for clauses
% 3.86/4.24 *** allocated 22500 integers for termspace/termends
% 3.86/4.24 *** allocated 75937 integers for clauses
% 3.86/4.24 Resimplifying inuse:
% 3.86/4.24 Done
% 3.86/4.24
% 3.86/4.24 *** allocated 33750 integers for termspace/termends
% 3.86/4.24 *** allocated 113905 integers for clauses
% 3.86/4.24 *** allocated 50625 integers for termspace/termends
% 3.86/4.24
% 3.86/4.24 Intermediate Status:
% 3.86/4.24 Generated: 9369
% 3.86/4.24 Kept: 2002
% 3.86/4.24 Inuse: 321
% 3.86/4.24 Deleted: 0
% 3.86/4.24 Deletedinuse: 0
% 3.86/4.24
% 3.86/4.24 Resimplifying inuse:
% 3.86/4.24 Done
% 3.86/4.24
% 3.86/4.24 *** allocated 170857 integers for clauses
% 3.86/4.24 *** allocated 75937 integers for termspace/termends
% 3.86/4.24 Resimplifying inuse:
% 3.86/4.24 Done
% 3.86/4.24
% 3.86/4.24 *** allocated 256285 integers for clauses
% 3.86/4.24 *** allocated 113905 integers for termspace/termends
% 3.86/4.24
% 3.86/4.24 Intermediate Status:
% 3.86/4.24 Generated: 20613
% 3.86/4.24 Kept: 4019
% 3.86/4.24 Inuse: 461
% 3.86/4.24 Deleted: 0
% 3.86/4.24 Deletedinuse: 0
% 3.86/4.24
% 3.86/4.24 Resimplifying inuse:
% 3.86/4.24 Done
% 3.86/4.24
% 3.86/4.24 Resimplifying inuse:
% 3.86/4.24 Done
% 3.86/4.24
% 3.86/4.24 *** allocated 384427 integers for clauses
% 3.86/4.24 *** allocated 170857 integers for termspace/termends
% 3.86/4.24
% 3.86/4.24 Intermediate Status:
% 3.86/4.24 Generated: 33614
% 3.86/4.24 Kept: 6088
% 3.86/4.24 Inuse: 531
% 3.86/4.24 Deleted: 0
% 3.86/4.24 Deletedinuse: 0
% 3.86/4.24
% 3.86/4.24 Resimplifying inuse:
% 3.86/4.24 Done
% 3.86/4.24
% 3.86/4.24 Resimplifying inuse:
% 3.86/4.24 Done
% 3.86/4.24
% 3.86/4.24 *** allocated 576640 integers for clauses
% 3.86/4.24
% 3.86/4.24 Intermediate Status:
% 3.86/4.24 Generated: 46200
% 3.86/4.24 Kept: 8131
% 3.86/4.24 Inuse: 675
% 3.86/4.24 Deleted: 1
% 3.86/4.24 Deletedinuse: 0
% 3.86/4.24
% 3.86/4.24 Resimplifying inuse:
% 3.86/4.24 Done
% 3.86/4.24
% 3.86/4.24 *** allocated 256285 integers for termspace/termends
% 3.86/4.24 Resimplifying inuse:
% 3.86/4.24 Done
% 3.86/4.24
% 3.86/4.24
% 3.86/4.24 Intermediate Status:
% 3.86/4.24 Generated: 56762
% 3.86/4.24 Kept: 10137
% 3.86/4.24 Inuse: 861
% 3.86/4.24 Deleted: 935
% 3.86/4.24 Deletedinuse: 583
% 3.86/4.24
% 3.86/4.24 Resimplifying inuse:
% 3.86/4.24 Done
% 3.86/4.24
% 3.86/4.24 Resimplifying inuse:
% 3.86/4.24 Done
% 3.86/4.24
% 3.86/4.24 *** allocated 864960 integers for clauses
% 3.86/4.24
% 3.86/4.24 Intermediate Status:
% 3.86/4.24 Generated: 65603
% 3.86/4.24 Kept: 12144
% 3.86/4.24 Inuse: 1003
% 3.86/4.24 Deleted: 940
% 3.86/4.24 Deletedinuse: 588
% 3.86/4.24
% 3.86/4.24 Resimplifying inuse:
% 3.86/4.24 Done
% 3.86/4.24
% 3.86/4.24 Resimplifying inuse:
% 3.86/4.24 Done
% 3.86/4.24
% 3.86/4.24
% 3.86/4.24 Intermediate Status:
% 3.86/4.24 Generated: 72738
% 3.86/4.24 Kept: 14156
% 3.86/4.24 Inuse: 1119
% 3.86/4.24 Deleted: 940
% 3.86/4.24 Deletedinuse: 588
% 3.86/4.24
% 3.86/4.24 Resimplifying inuse:
% 3.86/4.24 Done
% 3.86/4.24
% 3.86/4.24 *** allocated 384427 integers for termspace/termends
% 3.86/4.24 Resimplifying inuse:
% 3.86/4.24 Done
% 3.86/4.24
% 3.86/4.24
% 3.86/4.24 Intermediate Status:
% 3.86/4.24 Generated: 87720
% 3.86/4.24 Kept: 16169
% 3.86/4.24 Inuse: 1363
% 3.86/4.24 Deleted: 986
% 3.86/4.24 Deletedinuse: 588
% 3.86/4.24
% 3.86/4.24 Resimplifying inuse:
% 3.86/4.24 Done
% 3.86/4.24
% 3.86/4.24 *** allocated 1297440 integers for clauses
% 3.86/4.24 Resimplifying inuse:
% 3.86/4.24 Done
% 3.86/4.24
% 3.86/4.24
% 3.86/4.24 Intermediate Status:
% 3.86/4.24 Generated: 113871
% 3.86/4.24 Kept: 18171
% 3.86/4.24 Inuse: 1800
% 3.86/4.24 Deleted: 1004
% 3.86/4.24 Deletedinuse: 588
% 3.86/4.24
% 3.86/4.24 Resimplifying inuse:
% 3.86/4.24 Done
% 3.86/4.24
% 3.86/4.24 Resimplifying inuse:
% 3.86/4.24 Done
% 3.86/4.24
% 3.86/4.24 Resimplifying clauses:
% 3.86/4.24 Done
% 3.86/4.24
% 3.86/4.24
% 3.86/4.24 Intermediate Status:
% 3.86/4.24 Generated: 122682
% 3.86/4.24 Kept: 20226
% 3.86/4.24 Inuse: 1883
% 3.86/4.24 Deleted: 7332
% 3.86/4.24 Deletedinuse: 595
% 3.86/4.24
% 3.86/4.24 Resimplifying inuse:
% 3.86/4.24 Done
% 3.86/4.24
% 3.86/4.24 Resimplifying inuse:
% 3.86/4.24 Done
% 3.86/4.24
% 3.86/4.24
% 3.86/4.24 Intermediate Status:
% 3.86/4.24 Generated: 129421
% 3.86/4.24 Kept: 22230
% 3.86/4.24 Inuse: 1969
% 3.86/4.24 Deleted: 7453
% 3.86/4.24 Deletedinuse: 696
% 3.86/4.24
% 3.86/4.24 Resimplifying inuse:
% 3.86/4.24 Done
% 3.86/4.24
% 3.86/4.24
% 3.86/4.24 Bliksems!, er is een bewijs:
% 3.86/4.24 % SZS status Theorem
% 3.86/4.24 % SZS output start Refutation
% 3.86/4.24
% 3.86/4.24 (0) {G0,W8,D2,L2,V3,M2} I { ! coll( X, Y, Z ), coll( X, Z, Y ) }.
% 3.86/4.24 (1) {G0,W8,D2,L2,V3,M2} I { ! coll( X, Y, Z ), coll( Y, X, Z ) }.
% 3.86/4.24 (2) {G0,W12,D2,L3,V4,M3} I { ! coll( X, T, Y ), ! coll( X, T, Z ), coll( Y
% 3.86/4.24 , Z, X ) }.
% 3.86/4.24 (6) {G0,W10,D2,L2,V4,M2} I { ! perp( X, Y, Z, T ), perp( X, Y, T, Z ) }.
% 3.86/4.24 (7) {G0,W10,D2,L2,V4,M2} I { ! perp( X, Y, Z, T ), perp( Z, T, X, Y ) }.
% 3.86/4.24 (8) {G0,W15,D2,L3,V6,M3} I { ! perp( X, Y, U, W ), ! perp( U, W, Z, T ),
% 3.86/4.24 para( X, Y, Z, T ) }.
% 3.86/4.24 (9) {G0,W15,D2,L3,V6,M3} I { ! para( X, Y, U, W ), ! perp( U, W, Z, T ),
% 3.86/4.24 perp( X, Y, Z, T ) }.
% 3.86/4.24 (13) {G0,W10,D2,L2,V4,M2} I { ! cyclic( X, Y, Z, T ), cyclic( X, Y, T, Z )
% 3.86/4.24 }.
% 3.86/4.24 (14) {G0,W10,D2,L2,V4,M2} I { ! cyclic( X, Y, Z, T ), cyclic( X, Z, Y, T )
% 3.86/4.24 }.
% 3.86/4.24 (15) {G0,W10,D2,L2,V4,M2} I { ! cyclic( X, Y, Z, T ), cyclic( Y, X, Z, T )
% 3.86/4.24 }.
% 3.86/4.24 (16) {G0,W15,D2,L3,V5,M3} I { ! cyclic( U, X, Y, Z ), ! cyclic( U, X, Y, T
% 3.86/4.24 ), cyclic( X, Y, Z, T ) }.
% 3.86/4.24 (39) {G0,W14,D2,L2,V6,M2} I { ! para( X, Y, Z, T ), eqangle( X, Y, U, W, Z
% 3.86/4.24 , T, U, W ) }.
% 3.86/4.24 (40) {G0,W14,D2,L2,V4,M2} I { ! cyclic( X, Y, Z, T ), eqangle( Z, X, Z, Y,
% 3.86/4.24 T, X, T, Y ) }.
% 3.86/4.24 (42) {G0,W18,D2,L3,V4,M3} I { ! eqangle( Z, X, Z, Y, T, X, T, Y ), ! coll(
% 3.86/4.24 Z, T, Y ), cyclic( X, Y, Z, T ) }.
% 3.86/4.24 (43) {G0,W29,D2,L5,V6,M5} I { ! cyclic( X, Y, U, Z ), ! cyclic( X, Y, U, T
% 3.86/4.24 ), ! cyclic( X, Y, U, W ), ! eqangle( U, X, U, Y, W, Z, W, T ), cong( X
% 3.86/4.24 , Y, Z, T ) }.
% 3.86/4.24 (53) {G0,W14,D2,L3,V4,M3} I { ! circle( T, X, Y, Z ), ! coll( T, X, Z ),
% 3.86/4.24 perp( X, Y, Y, Z ) }.
% 3.86/4.24 (56) {G0,W15,D2,L3,V4,M3} I { ! cong( X, Z, Y, Z ), ! cong( X, T, Y, T ),
% 3.86/4.24 perp( X, Y, Z, T ) }.
% 3.86/4.24 (69) {G0,W8,D2,L2,V3,M2} I { ! midp( X, Y, Z ), coll( X, Y, Z ) }.
% 3.86/4.24 (88) {G0,W22,D3,L5,V7,M5} I { ! midp( Z, X, Y ), ! midp( W, T, U ), ! coll
% 3.86/4.24 ( T, X, Y ), ! coll( U, X, Y ), midp( skol7( X, V0 ), X, V0 ) }.
% 3.86/4.24 (95) {G0,W18,D3,L3,V4,M3} I { ! perp( X, T, Y, Z ), ! perp( Y, T, X, Z ),
% 3.86/4.24 perp( X, skol10( X, Y, Z ), Z, Y ) }.
% 3.86/4.24 (100) {G0,W12,D3,L2,V4,M2} I { ! circle( Y, X, Z, T ), perp( skol12( X, Y )
% 3.86/4.24 , X, X, Y ) }.
% 3.86/4.24 (110) {G0,W17,D3,L3,V5,M3} I { ! perp( X, U, U, T ), ! coll( T, Y, Z ),
% 3.86/4.24 perp( skol16( X, Y, Z ), X, Y, Z ) }.
% 3.86/4.24 (116) {G0,W5,D2,L1,V0,M1} I { circle( skol27, skol20, skol25, skol26 ) }.
% 3.86/4.24 (117) {G0,W4,D2,L1,V0,M1} I { midp( skol28, skol26, skol25 ) }.
% 3.86/4.24 (118) {G0,W5,D2,L1,V0,M1} I { circle( skol27, skol20, skol22, skol29 ) }.
% 3.86/4.24 (125) {G0,W4,D2,L1,V0,M1} I { coll( skol23, skol25, skol26 ) }.
% 3.86/4.24 (128) {G0,W5,D2,L1,V0,M1} I { ! perp( skol23, skol24, skol22, skol20 ) }.
% 3.86/4.24 (151) {G1,W18,D3,L4,V4,M4} F(88) { ! midp( X, Y, Z ), ! coll( Y, Y, Z ), !
% 3.86/4.24 coll( Z, Y, Z ), midp( skol7( Y, T ), Y, T ) }.
% 3.86/4.24 (157) {G1,W13,D3,L2,V3,M2} F(95) { ! perp( X, Y, X, Z ), perp( X, skol10( X
% 3.86/4.24 , X, Z ), Z, X ) }.
% 3.86/4.24 (175) {G1,W8,D2,L2,V3,M2} R(1,0) { coll( X, Y, Z ), ! coll( Y, Z, X ) }.
% 3.86/4.24 (176) {G1,W8,D2,L2,V3,M2} R(1,0) { ! coll( X, Y, Z ), coll( Y, Z, X ) }.
% 3.86/4.24 (180) {G1,W4,D2,L1,V0,M1} R(1,125) { coll( skol25, skol23, skol26 ) }.
% 3.86/4.24 (207) {G1,W12,D2,L3,V4,M3} R(2,0) { ! coll( X, Y, Z ), ! coll( X, Y, T ),
% 3.86/4.24 coll( Z, X, T ) }.
% 3.86/4.24 (218) {G2,W8,D2,L2,V3,M2} F(207) { ! coll( X, Y, Z ), coll( Z, X, Z ) }.
% 3.86/4.24 (273) {G1,W5,D2,L1,V0,M1} R(128,6) { ! perp( skol23, skol24, skol20, skol22
% 3.86/4.24 ) }.
% 3.86/4.24 (274) {G2,W5,D2,L1,V0,M1} R(7,273) { ! perp( skol20, skol22, skol23, skol24
% 3.86/4.24 ) }.
% 3.86/4.24 (277) {G1,W10,D2,L2,V4,M2} R(7,6) { ! perp( X, Y, Z, T ), perp( Z, T, Y, X
% 3.86/4.24 ) }.
% 3.86/4.24 (278) {G3,W5,D2,L1,V0,M1} R(274,6) { ! perp( skol20, skol22, skol24, skol23
% 3.86/4.24 ) }.
% 3.86/4.24 (279) {G4,W5,D2,L1,V0,M1} R(278,7) { ! perp( skol24, skol23, skol20, skol22
% 3.86/4.24 ) }.
% 3.86/4.24 (280) {G5,W5,D2,L1,V0,M1} R(279,6) { ! perp( skol24, skol23, skol22, skol20
% 3.86/4.24 ) }.
% 3.86/4.24 (282) {G1,W15,D2,L3,V6,M3} R(8,7) { ! perp( X, Y, Z, T ), para( U, W, Z, T
% 3.86/4.24 ), ! perp( X, Y, U, W ) }.
% 3.86/4.24 (283) {G1,W15,D2,L3,V6,M3} R(8,7) { ! perp( X, Y, Z, T ), para( X, Y, U, W
% 3.86/4.24 ), ! perp( U, W, Z, T ) }.
% 3.86/4.24 (291) {G2,W10,D2,L2,V4,M2} F(283) { ! perp( X, Y, Z, T ), para( X, Y, X, Y
% 3.86/4.24 ) }.
% 3.86/4.24 (307) {G6,W10,D2,L2,V2,M2} R(9,280) { ! para( skol24, skol23, X, Y ), !
% 3.86/4.24 perp( X, Y, skol22, skol20 ) }.
% 3.86/4.24 (378) {G3,W4,D2,L1,V0,M1} R(218,180) { coll( skol26, skol25, skol26 ) }.
% 3.86/4.24 (389) {G3,W12,D2,L3,V4,M3} R(218,2) { coll( X, Y, X ), ! coll( X, Z, Y ), !
% 3.86/4.24 coll( X, Z, T ) }.
% 3.86/4.24 (406) {G4,W8,D2,L2,V3,M2} F(389) { coll( X, Y, X ), ! coll( X, Z, Y ) }.
% 3.86/4.24 (412) {G1,W10,D2,L2,V4,M2} R(14,13) { ! cyclic( X, Y, Z, T ), cyclic( X, Z
% 3.86/4.24 , T, Y ) }.
% 3.86/4.24 (420) {G1,W10,D2,L2,V4,M2} R(15,14) { ! cyclic( X, Y, Z, T ), cyclic( Y, Z
% 3.86/4.24 , X, T ) }.
% 3.86/4.24 (443) {G1,W15,D2,L3,V5,M3} R(16,13) { ! cyclic( X, Y, Z, T ), cyclic( Y, Z
% 3.86/4.24 , T, U ), ! cyclic( X, Y, U, Z ) }.
% 3.86/4.24 (471) {G4,W4,D2,L1,V0,M1} R(378,0) { coll( skol26, skol26, skol25 ) }.
% 3.86/4.24 (727) {G5,W8,D2,L2,V3,M2} R(406,1) { ! coll( X, Y, Z ), coll( Z, X, X ) }.
% 3.86/4.24 (741) {G6,W8,D2,L2,V3,M2} R(727,1) { coll( X, Y, Y ), ! coll( Z, Y, X ) }.
% 3.86/4.24 (742) {G6,W8,D2,L2,V3,M2} R(727,0) { coll( X, Y, Y ), ! coll( Y, X, Z ) }.
% 3.86/4.24 (746) {G7,W8,D2,L2,V3,M2} R(742,742) { ! coll( X, Y, Z ), coll( X, Y, Y )
% 3.86/4.24 }.
% 3.86/4.24 (760) {G8,W12,D2,L3,V4,M3} R(746,2) { ! coll( X, Y, Z ), ! coll( X, Y, T )
% 3.86/4.24 , coll( T, Y, X ) }.
% 3.86/4.24 (761) {G9,W8,D2,L2,V3,M2} F(760) { ! coll( X, Y, Z ), coll( Z, Y, X ) }.
% 3.86/4.24 (765) {G10,W8,D2,L2,V3,M2} R(761,741) { coll( X, X, Y ), ! coll( Z, X, Y )
% 3.86/4.24 }.
% 3.86/4.24 (808) {G1,W14,D2,L3,V3,M3} R(42,39) { ! coll( X, X, Y ), cyclic( Z, Y, X, X
% 3.86/4.24 ), ! para( X, Z, X, Z ) }.
% 3.86/4.24 (951) {G2,W8,D2,L2,V3,M2} R(69,175) { ! midp( X, Y, Z ), coll( Z, X, Y )
% 3.86/4.24 }.
% 3.86/4.24 (959) {G11,W8,D2,L2,V3,M2} R(69,765) { ! midp( X, Y, Z ), coll( Y, Y, Z )
% 3.86/4.24 }.
% 3.86/4.24 (976) {G1,W4,D2,L1,V0,M1} R(69,117) { coll( skol28, skol26, skol25 ) }.
% 3.86/4.24 (1004) {G1,W20,D2,L4,V4,M4} R(43,40);f { ! cyclic( X, Y, Z, X ), ! cyclic(
% 3.86/4.24 X, Y, Z, Y ), ! cyclic( X, Y, Z, T ), cong( X, Y, X, Y ) }.
% 3.86/4.24 (1036) {G2,W15,D2,L3,V3,M3} F(1004) { ! cyclic( X, Y, Z, X ), ! cyclic( X,
% 3.86/4.24 Y, Z, Y ), cong( X, Y, X, Y ) }.
% 3.86/4.24 (1275) {G2,W8,D2,L2,V1,M2} R(976,2) { ! coll( skol28, skol26, X ), coll(
% 3.86/4.24 skol25, X, skol28 ) }.
% 3.86/4.24 (1562) {G1,W9,D2,L2,V0,M2} R(53,118) { ! coll( skol27, skol20, skol29 ),
% 3.86/4.24 perp( skol20, skol22, skol22, skol29 ) }.
% 3.86/4.24 (1639) {G3,W8,D2,L2,V1,M2} R(1275,176) { coll( skol25, X, skol28 ), ! coll
% 3.86/4.24 ( X, skol28, skol26 ) }.
% 3.86/4.24 (2871) {G4,W8,D2,L2,V1,M2} R(1639,176) { ! coll( X, skol28, skol26 ), coll
% 3.86/4.24 ( X, skol28, skol25 ) }.
% 3.86/4.24 (2891) {G5,W12,D2,L3,V2,M3} R(2871,2) { ! coll( X, skol28, skol26 ), ! coll
% 3.86/4.24 ( X, skol28, Y ), coll( skol25, Y, X ) }.
% 3.86/4.24 (2896) {G6,W8,D2,L2,V1,M2} F(2891) { ! coll( X, skol28, skol26 ), coll(
% 3.86/4.24 skol25, skol26, X ) }.
% 3.86/4.24 (3556) {G7,W8,D2,L2,V1,M2} R(2896,951) { coll( skol25, skol26, X ), ! midp
% 3.86/4.24 ( skol28, skol26, X ) }.
% 3.86/4.24 (4914) {G1,W7,D3,L1,V0,M1} R(100,116) { perp( skol12( skol20, skol27 ),
% 3.86/4.24 skol20, skol20, skol27 ) }.
% 3.86/4.24 (6850) {G2,W7,D3,L1,V0,M1} R(4914,7) { perp( skol20, skol27, skol12( skol20
% 3.86/4.24 , skol27 ), skol20 ) }.
% 3.86/4.24 (6861) {G3,W7,D3,L1,V0,M1} R(6850,6) { perp( skol20, skol27, skol20, skol12
% 3.86/4.24 ( skol20, skol27 ) ) }.
% 3.86/4.24 (6871) {G4,W7,D3,L1,V0,M1} R(6861,7) { perp( skol20, skol12( skol20, skol27
% 3.86/4.24 ), skol20, skol27 ) }.
% 3.86/4.24 (6962) {G5,W7,D3,L1,V0,M1} R(6871,6) { perp( skol20, skol12( skol20, skol27
% 3.86/4.24 ), skol27, skol20 ) }.
% 3.86/4.24 (8235) {G8,W14,D3,L3,V2,M3} R(151,3556);r(471) { ! midp( X, skol26, skol25
% 3.86/4.24 ), midp( skol7( skol26, Y ), skol26, Y ), ! midp( skol28, skol26, skol25
% 3.86/4.24 ) }.
% 3.86/4.24 (8356) {G9,W6,D3,L1,V1,M1} F(8235);r(117) { midp( skol7( skol26, X ),
% 3.86/4.24 skol26, X ) }.
% 3.86/4.24 (8401) {G12,W4,D2,L1,V1,M1} R(8356,959) { coll( skol26, skol26, X ) }.
% 3.86/4.24 (8463) {G13,W4,D2,L1,V2,M1} R(8401,2);r(8401) { coll( Y, X, skol26 ) }.
% 3.86/4.24 (8484) {G14,W4,D2,L1,V2,M1} R(8463,176) { coll( X, skol26, Y ) }.
% 3.86/4.24 (8498) {G15,W4,D2,L1,V3,M1} R(8484,2);r(8484) { coll( Z, Y, X ) }.
% 3.86/4.24 (8752) {G6,W7,D3,L1,V0,M1} R(6962,7) { perp( skol27, skol20, skol20, skol12
% 3.86/4.24 ( skol20, skol27 ) ) }.
% 3.86/4.24 (8754) {G16,W8,D3,L1,V2,M1} R(8752,110);r(8498) { perp( skol16( skol27, X,
% 3.86/4.24 Y ), skol27, X, Y ) }.
% 3.86/4.24 (8910) {G17,W8,D3,L1,V2,M1} R(8754,7) { perp( X, Y, skol16( skol27, X, Y )
% 3.86/4.24 , skol27 ) }.
% 3.86/4.24 (8928) {G18,W8,D3,L1,V2,M1} R(8910,6) { perp( X, Y, skol27, skol16( skol27
% 3.86/4.24 , X, Y ) ) }.
% 3.86/4.24 (8932) {G19,W8,D3,L1,V3,M1} R(8928,110);r(8498) { perp( skol16( X, Y, Z ),
% 3.86/4.24 X, Y, Z ) }.
% 3.86/4.24 (8985) {G20,W8,D3,L1,V3,M1} R(277,8932) { perp( X, Y, Z, skol16( Z, X, Y )
% 3.86/4.24 ) }.
% 3.86/4.24 (9017) {G21,W8,D3,L1,V3,M1} R(8985,7) { perp( X, skol16( X, Y, Z ), Y, Z )
% 3.86/4.24 }.
% 3.86/4.24 (9089) {G22,W8,D3,L1,V2,M1} R(9017,157) { perp( X, skol10( X, X, Y ), Y, X
% 3.86/4.24 ) }.
% 3.86/4.24 (9338) {G23,W8,D3,L1,V2,M1} R(9089,7) { perp( X, Y, Y, skol10( Y, Y, X ) )
% 3.86/4.24 }.
% 3.86/4.24 (9517) {G24,W5,D2,L1,V2,M1} R(291,9338) { para( X, Y, X, Y ) }.
% 3.86/4.24 (20197) {G16,W5,D2,L1,V0,M1} S(1562);r(8498) { perp( skol20, skol22, skol22
% 3.86/4.24 , skol29 ) }.
% 3.86/4.24 (20219) {G25,W5,D2,L1,V3,M1} S(808);r(8498);r(9517) { cyclic( Z, Y, X, X )
% 3.86/4.24 }.
% 3.86/4.24 (20237) {G26,W5,D2,L1,V3,M1} R(20219,420) { cyclic( X, Y, Z, Y ) }.
% 3.86/4.24 (20239) {G26,W5,D2,L1,V3,M1} R(20219,412) { cyclic( X, Y, Y, Z ) }.
% 3.86/4.24 (20243) {G27,W5,D2,L1,V3,M1} R(20237,443);r(20239) { cyclic( Y, Y, Z, T )
% 3.86/4.24 }.
% 3.86/4.24 (20251) {G28,W5,D2,L1,V4,M1} R(20243,443);r(20243) { cyclic( X, Y, Z, T )
% 3.86/4.24 }.
% 3.86/4.24 (22013) {G17,W5,D2,L1,V0,M1} R(20197,277) { perp( skol22, skol29, skol22,
% 3.86/4.24 skol20 ) }.
% 3.86/4.24 (22036) {G18,W5,D2,L1,V0,M1} R(22013,307) { ! para( skol24, skol23, skol22
% 3.86/4.24 , skol29 ) }.
% 3.86/4.24 (23212) {G29,W5,D2,L1,V2,M1} S(1036);r(20251);r(20251) { cong( X, Y, X, Y )
% 3.86/4.24 }.
% 3.86/4.24 (23222) {G30,W5,D2,L1,V3,M1} R(23212,56);r(23212) { perp( X, X, Z, Y ) }.
% 3.86/4.24 (23259) {G31,W5,D2,L1,V4,M1} R(23222,282);r(23222) { para( X, Y, Z, T ) }.
% 3.86/4.24 (23268) {G32,W0,D0,L0,V0,M0} R(23259,22036) { }.
% 3.86/4.24
% 3.86/4.24
% 3.86/4.24 % SZS output end Refutation
% 3.86/4.24 found a proof!
% 3.86/4.24
% 3.86/4.24
% 3.86/4.24 Unprocessed initial clauses:
% 3.86/4.24
% 3.86/4.24 (23270) {G0,W8,D2,L2,V3,M2} { ! coll( X, Y, Z ), coll( X, Z, Y ) }.
% 3.86/4.24 (23271) {G0,W8,D2,L2,V3,M2} { ! coll( X, Y, Z ), coll( Y, X, Z ) }.
% 3.86/4.24 (23272) {G0,W12,D2,L3,V4,M3} { ! coll( X, T, Y ), ! coll( X, T, Z ), coll
% 3.86/4.24 ( Y, Z, X ) }.
% 3.86/4.24 (23273) {G0,W10,D2,L2,V4,M2} { ! para( X, Y, Z, T ), para( X, Y, T, Z )
% 3.86/4.24 }.
% 3.86/4.24 (23274) {G0,W10,D2,L2,V4,M2} { ! para( X, Y, Z, T ), para( Z, T, X, Y )
% 3.86/4.24 }.
% 3.86/4.24 (23275) {G0,W15,D2,L3,V6,M3} { ! para( X, Y, U, W ), ! para( U, W, Z, T )
% 3.86/4.24 , para( X, Y, Z, T ) }.
% 3.86/4.24 (23276) {G0,W10,D2,L2,V4,M2} { ! perp( X, Y, Z, T ), perp( X, Y, T, Z )
% 3.86/4.24 }.
% 3.86/4.24 (23277) {G0,W10,D2,L2,V4,M2} { ! perp( X, Y, Z, T ), perp( Z, T, X, Y )
% 3.86/4.24 }.
% 3.86/4.24 (23278) {G0,W15,D2,L3,V6,M3} { ! perp( X, Y, U, W ), ! perp( U, W, Z, T )
% 3.86/4.24 , para( X, Y, Z, T ) }.
% 3.86/4.24 (23279) {G0,W15,D2,L3,V6,M3} { ! para( X, Y, U, W ), ! perp( U, W, Z, T )
% 3.86/4.24 , perp( X, Y, Z, T ) }.
% 3.86/4.24 (23280) {G0,W8,D2,L2,V3,M2} { ! midp( Z, Y, X ), midp( Z, X, Y ) }.
% 3.86/4.24 (23281) {G0,W15,D2,L3,V4,M3} { ! cong( T, X, T, Y ), ! cong( T, X, T, Z )
% 3.86/4.24 , circle( T, X, Y, Z ) }.
% 3.86/4.24 (23282) {G0,W20,D2,L4,V5,M4} { ! cong( U, X, U, Y ), ! cong( U, X, U, Z )
% 3.86/4.24 , ! cong( U, X, U, T ), cyclic( X, Y, Z, T ) }.
% 3.86/4.24 (23283) {G0,W10,D2,L2,V4,M2} { ! cyclic( X, Y, Z, T ), cyclic( X, Y, T, Z
% 3.86/4.24 ) }.
% 3.86/4.24 (23284) {G0,W10,D2,L2,V4,M2} { ! cyclic( X, Y, Z, T ), cyclic( X, Z, Y, T
% 3.86/4.24 ) }.
% 3.86/4.24 (23285) {G0,W10,D2,L2,V4,M2} { ! cyclic( X, Y, Z, T ), cyclic( Y, X, Z, T
% 3.86/4.24 ) }.
% 3.86/4.24 (23286) {G0,W15,D2,L3,V5,M3} { ! cyclic( U, X, Y, Z ), ! cyclic( U, X, Y,
% 3.86/4.24 T ), cyclic( X, Y, Z, T ) }.
% 3.86/4.24 (23287) {G0,W18,D2,L2,V8,M2} { ! eqangle( X, Y, Z, T, U, W, V0, V1 ),
% 3.86/4.24 eqangle( Y, X, Z, T, U, W, V0, V1 ) }.
% 3.86/4.24 (23288) {G0,W18,D2,L2,V8,M2} { ! eqangle( X, Y, Z, T, U, W, V0, V1 ),
% 3.86/4.24 eqangle( Z, T, X, Y, V0, V1, U, W ) }.
% 3.86/4.24 (23289) {G0,W18,D2,L2,V8,M2} { ! eqangle( X, Y, Z, T, U, W, V0, V1 ),
% 3.86/4.24 eqangle( U, W, V0, V1, X, Y, Z, T ) }.
% 3.86/4.24 (23290) {G0,W18,D2,L2,V8,M2} { ! eqangle( X, Y, Z, T, U, W, V0, V1 ),
% 3.86/4.24 eqangle( X, Y, U, W, Z, T, V0, V1 ) }.
% 3.86/4.24 (23291) {G0,W27,D2,L3,V12,M3} { ! eqangle( X, Y, Z, T, V2, V3, V4, V5 ), !
% 3.86/4.24 eqangle( V2, V3, V4, V5, U, W, V0, V1 ), eqangle( X, Y, Z, T, U, W, V0,
% 3.86/4.24 V1 ) }.
% 3.86/4.24 (23292) {G0,W10,D2,L2,V4,M2} { ! cong( X, Y, Z, T ), cong( X, Y, T, Z )
% 3.86/4.24 }.
% 3.86/4.24 (23293) {G0,W10,D2,L2,V4,M2} { ! cong( X, Y, Z, T ), cong( Z, T, X, Y )
% 3.86/4.24 }.
% 3.86/4.24 (23294) {G0,W15,D2,L3,V6,M3} { ! cong( X, Y, U, W ), ! cong( U, W, Z, T )
% 3.86/4.24 , cong( X, Y, Z, T ) }.
% 3.86/4.24 (23295) {G0,W18,D2,L2,V8,M2} { ! eqratio( X, Y, Z, T, U, W, V0, V1 ),
% 3.86/4.24 eqratio( Y, X, Z, T, U, W, V0, V1 ) }.
% 3.86/4.24 (23296) {G0,W18,D2,L2,V8,M2} { ! eqratio( X, Y, Z, T, U, W, V0, V1 ),
% 3.86/4.24 eqratio( Z, T, X, Y, V0, V1, U, W ) }.
% 3.86/4.24 (23297) {G0,W18,D2,L2,V8,M2} { ! eqratio( X, Y, Z, T, U, W, V0, V1 ),
% 3.86/4.24 eqratio( U, W, V0, V1, X, Y, Z, T ) }.
% 3.86/4.24 (23298) {G0,W18,D2,L2,V8,M2} { ! eqratio( X, Y, Z, T, U, W, V0, V1 ),
% 3.86/4.24 eqratio( X, Y, U, W, Z, T, V0, V1 ) }.
% 3.86/4.24 (23299) {G0,W27,D2,L3,V12,M3} { ! eqratio( X, Y, Z, T, V2, V3, V4, V5 ), !
% 3.86/4.24 eqratio( V2, V3, V4, V5, U, W, V0, V1 ), eqratio( X, Y, Z, T, U, W, V0,
% 3.86/4.24 V1 ) }.
% 3.86/4.24 (23300) {G0,W14,D2,L2,V6,M2} { ! simtri( X, Z, Y, T, W, U ), simtri( X, Y
% 3.86/4.24 , Z, T, U, W ) }.
% 3.86/4.24 (23301) {G0,W14,D2,L2,V6,M2} { ! simtri( Y, X, Z, U, T, W ), simtri( X, Y
% 3.86/4.24 , Z, T, U, W ) }.
% 3.86/4.24 (23302) {G0,W14,D2,L2,V6,M2} { ! simtri( T, U, W, X, Y, Z ), simtri( X, Y
% 3.86/4.24 , Z, T, U, W ) }.
% 3.86/4.24 (23303) {G0,W21,D2,L3,V9,M3} { ! simtri( X, Y, Z, V0, V1, V2 ), ! simtri(
% 3.86/4.24 V0, V1, V2, T, U, W ), simtri( X, Y, Z, T, U, W ) }.
% 3.86/4.24 (23304) {G0,W14,D2,L2,V6,M2} { ! contri( X, Z, Y, T, W, U ), contri( X, Y
% 3.86/4.24 , Z, T, U, W ) }.
% 3.86/4.24 (23305) {G0,W14,D2,L2,V6,M2} { ! contri( Y, X, Z, U, T, W ), contri( X, Y
% 3.86/4.24 , Z, T, U, W ) }.
% 3.86/4.24 (23306) {G0,W14,D2,L2,V6,M2} { ! contri( T, U, W, X, Y, Z ), contri( X, Y
% 3.86/4.24 , Z, T, U, W ) }.
% 3.86/4.24 (23307) {G0,W21,D2,L3,V9,M3} { ! contri( X, Y, Z, V0, V1, V2 ), ! contri(
% 3.86/4.24 V0, V1, V2, T, U, W ), contri( X, Y, Z, T, U, W ) }.
% 3.86/4.24 (23308) {G0,W14,D2,L2,V6,M2} { ! eqangle( X, Y, U, W, Z, T, U, W ), para(
% 3.86/4.24 X, Y, Z, T ) }.
% 3.86/4.24 (23309) {G0,W14,D2,L2,V6,M2} { ! para( X, Y, Z, T ), eqangle( X, Y, U, W,
% 3.86/4.24 Z, T, U, W ) }.
% 3.86/4.24 (23310) {G0,W14,D2,L2,V4,M2} { ! cyclic( X, Y, Z, T ), eqangle( Z, X, Z, Y
% 3.86/4.24 , T, X, T, Y ) }.
% 3.86/4.24 (23311) {G0,W18,D2,L3,V4,M3} { ! eqangle( Z, X, Z, Y, T, X, T, Y ), coll(
% 3.86/4.24 Z, T, X ), cyclic( X, Y, Z, T ) }.
% 3.86/4.24 (23312) {G0,W18,D2,L3,V4,M3} { ! eqangle( Z, X, Z, Y, T, X, T, Y ), ! coll
% 3.86/4.24 ( Z, T, Y ), cyclic( X, Y, Z, T ) }.
% 3.86/4.24 (23313) {G0,W29,D2,L5,V6,M5} { ! cyclic( X, Y, U, Z ), ! cyclic( X, Y, U,
% 3.86/4.24 T ), ! cyclic( X, Y, U, W ), ! eqangle( U, X, U, Y, W, Z, W, T ), cong( X
% 3.86/4.24 , Y, Z, T ) }.
% 3.86/4.24 (23314) {G0,W13,D2,L3,V5,M3} { ! midp( Z, U, X ), ! midp( T, U, Y ), para
% 3.86/4.24 ( Z, T, X, Y ) }.
% 3.86/4.24 (23315) {G0,W17,D2,L4,V5,M4} { ! midp( U, X, T ), ! para( U, Z, T, Y ), !
% 3.86/4.24 coll( Z, X, Y ), midp( Z, X, Y ) }.
% 3.86/4.24 (23316) {G0,W14,D2,L2,V3,M2} { ! cong( Z, X, Z, Y ), eqangle( Z, X, X, Y,
% 3.86/4.24 X, Y, Z, Y ) }.
% 3.86/4.24 (23317) {G0,W18,D2,L3,V3,M3} { ! eqangle( Z, X, X, Y, X, Y, Z, Y ), coll(
% 3.86/4.24 Z, X, Y ), cong( Z, X, Z, Y ) }.
% 3.86/4.24 (23318) {G0,W19,D2,L3,V5,M3} { ! circle( U, X, Y, Z ), ! perp( U, X, X, T
% 3.86/4.24 ), eqangle( X, T, X, Y, Z, X, Z, Y ) }.
% 3.86/4.24 (23319) {G0,W19,D2,L3,V5,M3} { ! circle( Y, X, T, U ), ! eqangle( X, Z, X
% 3.86/4.24 , T, U, X, U, T ), perp( Y, X, X, Z ) }.
% 3.86/4.24 (23320) {G0,W18,D2,L3,V5,M3} { ! circle( T, X, Y, Z ), ! midp( U, Y, Z ),
% 3.86/4.24 eqangle( X, Y, X, Z, T, Y, T, U ) }.
% 3.86/4.24 (23321) {G0,W22,D2,L4,V5,M4} { ! circle( U, T, X, Y ), ! coll( Z, X, Y ),
% 3.86/4.24 ! eqangle( T, X, T, Y, U, X, U, Z ), midp( Z, X, Y ) }.
% 3.86/4.24 (23322) {G0,W14,D2,L3,V4,M3} { ! perp( X, Y, Y, T ), ! midp( Z, X, T ),
% 3.86/4.24 cong( X, Z, Y, Z ) }.
% 3.86/4.24 (23323) {G0,W14,D2,L3,V4,M3} { ! circle( T, X, Y, Z ), ! coll( T, X, Z ),
% 3.86/4.24 perp( X, Y, Y, Z ) }.
% 3.86/4.24 (23324) {G0,W19,D2,L3,V4,M3} { ! cyclic( X, Y, Z, T ), ! para( X, Y, Z, T
% 3.86/4.24 ), eqangle( X, T, Z, T, Z, T, Z, Y ) }.
% 3.86/4.24 (23325) {G0,W14,D2,L3,V4,M3} { ! midp( T, X, Y ), ! perp( Z, T, X, Y ),
% 3.86/4.24 cong( Z, X, Z, Y ) }.
% 3.86/4.24 (23326) {G0,W15,D2,L3,V4,M3} { ! cong( X, Z, Y, Z ), ! cong( X, T, Y, T )
% 3.86/4.24 , perp( X, Y, Z, T ) }.
% 3.86/4.24 (23327) {G0,W20,D2,L4,V4,M4} { ! cong( X, Y, T, Y ), ! cong( X, Z, T, Z )
% 3.86/4.24 , ! cyclic( X, T, Y, Z ), perp( Y, X, X, Z ) }.
% 3.86/4.24 (23328) {G0,W29,D2,L4,V6,M4} { ! eqangle( X, Y, Y, Z, T, U, U, W ), !
% 3.86/4.24 eqangle( X, Z, Y, Z, T, W, U, W ), coll( X, Y, Z ), simtri( X, Y, Z, T, U
% 3.86/4.24 , W ) }.
% 3.86/4.24 (23329) {G0,W16,D2,L2,V6,M2} { ! simtri( X, Y, Z, T, U, W ), eqratio( X, Y
% 3.86/4.24 , X, Z, T, U, T, W ) }.
% 3.86/4.24 (23330) {G0,W16,D2,L2,V6,M2} { ! simtri( X, Y, Z, T, U, W ), eqangle( X, Y
% 3.86/4.24 , Y, Z, T, U, U, W ) }.
% 3.86/4.24 (23331) {G0,W19,D2,L3,V6,M3} { ! simtri( X, Y, Z, T, U, W ), ! cong( X, Y
% 3.86/4.24 , T, U ), contri( X, Y, Z, T, U, W ) }.
% 3.86/4.24 (23332) {G0,W12,D2,L2,V6,M2} { ! contri( X, Y, U, Z, T, W ), cong( X, Y, Z
% 3.86/4.24 , T ) }.
% 3.86/4.24 (23333) {G0,W13,D2,L3,V5,M3} { ! midp( U, X, Y ), ! midp( U, Z, T ), para
% 3.86/4.24 ( X, Z, Y, T ) }.
% 3.86/4.24 (23334) {G0,W18,D2,L4,V5,M4} { ! midp( Z, T, U ), ! para( T, X, U, Y ), !
% 3.86/4.24 para( T, Y, U, X ), midp( Z, X, Y ) }.
% 3.86/4.24 (23335) {G0,W22,D2,L4,V5,M4} { ! para( X, Y, Z, T ), ! coll( U, X, Z ), !
% 3.86/4.24 coll( U, Y, T ), eqratio( U, X, X, Z, U, Y, Y, T ) }.
% 3.86/4.24 (23336) {G0,W9,D2,L2,V3,M2} { ! para( X, Y, X, Z ), coll( X, Y, Z ) }.
% 3.86/4.24 (23337) {G0,W13,D2,L3,V3,M3} { ! cong( X, Y, X, Z ), ! coll( X, Y, Z ),
% 3.86/4.24 midp( X, Y, Z ) }.
% 3.86/4.24 (23338) {G0,W9,D2,L2,V3,M2} { ! midp( X, Y, Z ), cong( X, Y, X, Z ) }.
% 3.86/4.24 (23339) {G0,W8,D2,L2,V3,M2} { ! midp( X, Y, Z ), coll( X, Y, Z ) }.
% 3.86/4.24 (23340) {G0,W17,D2,L3,V6,M3} { ! midp( U, X, Y ), ! midp( W, Z, T ),
% 3.86/4.24 eqratio( U, X, X, Y, W, Z, Z, T ) }.
% 3.86/4.24 (23341) {G0,W19,D2,L3,V4,M3} { ! eqangle( X, Y, Z, T, Z, T, X, Y ), para(
% 3.86/4.24 X, Y, Z, T ), perp( X, Y, Z, T ) }.
% 3.86/4.24 (23342) {G0,W19,D2,L3,V4,M3} { ! eqangle( X, Y, Z, T, Z, T, X, Y ), perp(
% 3.86/4.24 X, Y, Z, T ), para( X, Y, Z, T ) }.
% 3.86/4.24 (23343) {G0,W19,D2,L3,V8,M3} { ! eqangle( X, Y, Z, T, U, W, V0, V1 ), !
% 3.86/4.24 para( U, W, V0, V1 ), para( X, Y, Z, T ) }.
% 3.86/4.24 (23344) {G0,W19,D2,L3,V8,M3} { ! eqangle( X, Y, Z, T, U, W, V0, V1 ), !
% 3.86/4.24 perp( U, W, V0, V1 ), perp( X, Y, Z, T ) }.
% 3.86/4.24 (23345) {G0,W19,D2,L3,V8,M3} { ! eqratio( X, Y, Z, T, U, W, V0, V1 ), !
% 3.86/4.24 cong( U, W, V0, V1 ), cong( X, Y, Z, T ) }.
% 3.86/4.24 (23346) {G0,W22,D3,L3,V6,M3} { ! perp( Z, Y, Y, X ), ! eqangle( T, Z, Y, Z
% 3.86/4.24 , Y, Z, X, Z ), coll( skol1( U, W, Z, T ), Z, T ) }.
% 3.86/4.24 (23347) {G0,W22,D3,L3,V4,M3} { ! perp( Z, Y, Y, X ), ! eqangle( T, Z, Y, Z
% 3.86/4.24 , Y, Z, X, Z ), coll( skol1( X, Y, Z, T ), X, Y ) }.
% 3.86/4.24 (23348) {G0,W22,D3,L3,V6,M3} { ! cong( Z, X, Z, Y ), ! eqangle( X, Z, Z, T
% 3.86/4.24 , Z, T, Z, Y ), coll( skol2( U, W, Z, T ), Z, T ) }.
% 3.86/4.24 (23349) {G0,W22,D3,L3,V4,M3} { ! cong( Z, X, Z, Y ), ! eqangle( X, Z, Z, T
% 3.86/4.24 , Z, T, Z, Y ), coll( Y, X, skol2( X, Y, Z, T ) ) }.
% 3.86/4.24 (23350) {G0,W22,D3,L3,V6,M3} { ! perp( Z, T, X, Y ), ! eqangle( X, Z, Z, T
% 3.86/4.24 , Z, T, Z, Y ), coll( skol3( U, W, Z, T ), Z, T ) }.
% 3.86/4.24 (23351) {G0,W22,D3,L3,V4,M3} { ! perp( Z, T, X, Y ), ! eqangle( X, Z, Z, T
% 3.86/4.24 , Z, T, Z, Y ), coll( Y, X, skol3( X, Y, Z, T ) ) }.
% 3.86/4.24 (23352) {G0,W18,D3,L3,V6,M3} { ! perp( Z, T, X, Y ), ! cong( Z, X, Z, Y )
% 3.86/4.24 , coll( skol4( U, W, Z, T ), Z, T ) }.
% 3.86/4.24 (23353) {G0,W18,D3,L3,V4,M3} { ! perp( Z, T, X, Y ), ! cong( Z, X, Z, Y )
% 3.86/4.24 , coll( Y, X, skol4( X, Y, Z, T ) ) }.
% 3.86/4.24 (23354) {G0,W22,D3,L3,V6,M3} { ! eqangle( X, Z, Y, Z, X, T, Y, U ), coll(
% 3.86/4.24 X, Y, Z ), cyclic( T, Y, Z, skol5( W, Y, Z, T ) ) }.
% 3.86/4.24 (23355) {G0,W30,D3,L3,V5,M3} { ! eqangle( X, Z, Y, Z, X, T, Y, U ), coll(
% 3.86/4.24 X, Y, Z ), eqangle( X, Z, Y, Z, X, skol5( X, Y, Z, T ), Y, skol5( X, Y, Z
% 3.86/4.24 , T ) ) }.
% 3.86/4.24 (23356) {G0,W18,D3,L3,V10,M3} { ! midp( U, X, Y ), ! midp( W, Z, T ), midp
% 3.86/4.24 ( skol6( X, V0, V1, T, V2, V3 ), X, T ) }.
% 3.86/4.24 (23357) {G0,W19,D3,L3,V8,M3} { ! midp( U, X, Y ), ! midp( W, Z, T ), para
% 3.86/4.24 ( skol6( X, V0, Z, T, V1, W ), W, X, Z ) }.
% 3.86/4.24 (23358) {G0,W19,D3,L3,V6,M3} { ! midp( U, X, Y ), ! midp( W, Z, T ), para
% 3.86/4.24 ( skol6( X, Y, Z, T, U, W ), U, Y, T ) }.
% 3.86/4.24 (23359) {G0,W22,D3,L5,V7,M5} { ! midp( Z, X, Y ), ! midp( W, T, U ), !
% 3.86/4.24 coll( T, X, Y ), ! coll( U, X, Y ), midp( skol7( X, V0 ), X, V0 ) }.
% 3.86/4.24 (23360) {G0,W26,D3,L5,V8,M5} { ! midp( T, X, U ), ! para( X, W, Z, T ), !
% 3.86/4.24 para( X, W, U, Y ), ! coll( W, Y, Z ), coll( skol8( V0, V1, Z, T ), T, Z
% 3.86/4.24 ) }.
% 3.86/4.24 (23361) {G0,W26,D3,L5,V6,M5} { ! midp( T, X, U ), ! para( X, W, Z, T ), !
% 3.86/4.24 para( X, W, U, Y ), ! coll( W, Y, Z ), coll( skol8( X, Y, Z, T ), X, Y )
% 3.86/4.24 }.
% 3.86/4.24 (23362) {G0,W19,D3,L3,V7,M3} { ! cong( T, Z, T, U ), ! perp( X, Y, Y, T )
% 3.86/4.24 , cong( T, Z, T, skol9( W, V0, Z, T ) ) }.
% 3.86/4.24 (23363) {G0,W19,D3,L3,V6,M3} { ! cong( T, Z, T, U ), ! perp( X, Y, Y, T )
% 3.86/4.24 , cong( Y, Z, Y, skol9( W, Y, Z, T ) ) }.
% 3.86/4.24 (23364) {G0,W19,D3,L3,V5,M3} { ! cong( T, Z, T, U ), ! perp( X, Y, Y, T )
% 3.86/4.24 , para( skol9( X, Y, Z, T ), Z, X, Y ) }.
% 3.86/4.24 (23365) {G0,W17,D3,L3,V5,M3} { ! perp( X, T, Y, Z ), ! perp( Y, T, X, Z )
% 3.86/4.24 , coll( skol10( U, Y, Z ), Z, Y ) }.
% 3.86/4.24 (23366) {G0,W18,D3,L3,V4,M3} { ! perp( X, T, Y, Z ), ! perp( Y, T, X, Z )
% 3.86/4.24 , perp( X, skol10( X, Y, Z ), Z, Y ) }.
% 3.86/4.24 (23367) {G0,W14,D2,L3,V4,M3} { ! perp( X, T, Y, Z ), ! perp( Y, T, X, Z )
% 3.86/4.24 , alpha1( X, Y, Z ) }.
% 3.86/4.24 (23368) {G0,W11,D3,L2,V4,M2} { ! alpha1( X, Y, Z ), coll( skol11( X, T, Z
% 3.86/4.24 ), Z, X ) }.
% 3.86/4.24 (23369) {G0,W12,D3,L2,V3,M2} { ! alpha1( X, Y, Z ), perp( Y, skol11( X, Y
% 3.86/4.24 , Z ), Z, X ) }.
% 3.86/4.24 (23370) {G0,W13,D2,L3,V4,M3} { ! coll( T, Z, X ), ! perp( Y, T, Z, X ),
% 3.86/4.24 alpha1( X, Y, Z ) }.
% 3.86/4.24 (23371) {G0,W12,D3,L2,V4,M2} { ! circle( Y, X, Z, T ), perp( skol12( X, Y
% 3.86/4.24 ), X, X, Y ) }.
% 3.86/4.24 (23372) {G0,W28,D3,L5,V8,M5} { ! circle( W, X, Y, Z ), ! cong( W, X, W, T
% 3.86/4.24 ), ! cong( U, X, U, Y ), W = U, alpha2( X, Z, U, skol13( X, V0, Z, V1, U
% 3.86/4.24 ) ) }.
% 3.86/4.24 (23373) {G0,W26,D3,L5,V8,M5} { ! circle( W, X, Y, Z ), ! cong( W, X, W, T
% 3.86/4.24 ), ! cong( U, X, U, Y ), W = U, coll( skol21( V0, Y, T, V1 ), Y, T ) }.
% 3.86/4.24 (23374) {G0,W27,D3,L5,V6,M5} { ! circle( W, X, Y, Z ), ! cong( W, X, W, T
% 3.86/4.24 ), ! cong( U, X, U, Y ), W = U, cong( skol21( X, Y, T, U ), U, U, X )
% 3.86/4.24 }.
% 3.86/4.24 (23375) {G0,W9,D2,L2,V4,M2} { ! alpha2( X, Y, Z, T ), coll( T, X, Y ) }.
% 3.86/4.24 (23376) {G0,W10,D2,L2,V4,M2} { ! alpha2( X, Y, Z, T ), cong( T, Z, Z, X )
% 3.86/4.24 }.
% 3.86/4.24 (23377) {G0,W14,D2,L3,V4,M3} { ! coll( T, X, Y ), ! cong( T, Z, Z, X ),
% 3.86/4.24 alpha2( X, Y, Z, T ) }.
% 3.86/4.24 (23378) {G0,W22,D3,L4,V5,M4} { ! cyclic( X, Y, Z, T ), ! para( X, Y, Z, T
% 3.86/4.24 ), ! midp( U, X, Y ), circle( skol14( X, Y, Z ), X, Y, Z ) }.
% 3.86/4.24 (23379) {G0,W18,D3,L3,V4,M3} { ! perp( X, Z, Z, Y ), ! cyclic( X, Y, Z, T
% 3.86/4.24 ), circle( skol15( X, Y, Z ), X, Y, Z ) }.
% 3.86/4.24 (23380) {G0,W16,D3,L3,V6,M3} { ! perp( X, U, U, T ), ! coll( T, Y, Z ),
% 3.86/4.24 coll( skol16( W, Y, Z ), Y, Z ) }.
% 3.86/4.24 (23381) {G0,W17,D3,L3,V5,M3} { ! perp( X, U, U, T ), ! coll( T, Y, Z ),
% 3.86/4.24 perp( skol16( X, Y, Z ), X, Y, Z ) }.
% 3.86/4.24 (23382) {G0,W20,D3,L4,V5,M4} { ! perp( X, Z, X, Y ), ! perp( Y, X, Y, T )
% 3.86/4.24 , ! midp( U, Z, T ), midp( skol17( X, Y ), X, Y ) }.
% 3.86/4.24 (23383) {G0,W16,D3,L3,V3,M3} { ! cong( Y, X, Y, Z ), ! perp( X, Y, Y, Z )
% 3.86/4.24 , coll( X, Y, skol18( X, Y ) ) }.
% 3.86/4.24 (23384) {G0,W17,D3,L3,V3,M3} { ! cong( Y, X, Y, Z ), ! perp( X, Y, Y, Z )
% 3.86/4.24 , cong( Y, X, Y, skol18( X, Y ) ) }.
% 3.86/4.24 (23385) {G0,W25,D3,L5,V8,M5} { ! para( U, W, X, Y ), ! coll( Z, U, X ), !
% 3.86/4.24 coll( Z, W, Y ), ! coll( T, U, W ), coll( Z, T, skol19( V0, V1, Z, T ) )
% 3.86/4.24 }.
% 3.86/4.24 (23386) {G0,W25,D3,L5,V6,M5} { ! para( U, W, X, Y ), ! coll( Z, U, X ), !
% 3.86/4.24 coll( Z, W, Y ), ! coll( T, U, W ), coll( skol19( X, Y, Z, T ), X, Y )
% 3.86/4.24 }.
% 3.86/4.24 (23387) {G0,W5,D2,L1,V0,M1} { circle( skol27, skol20, skol25, skol26 ) }.
% 3.86/4.24 (23388) {G0,W4,D2,L1,V0,M1} { midp( skol28, skol26, skol25 ) }.
% 3.86/4.24 (23389) {G0,W5,D2,L1,V0,M1} { circle( skol27, skol20, skol22, skol29 ) }.
% 3.86/4.24 (23390) {G0,W4,D2,L1,V0,M1} { coll( skol22, skol20, skol28 ) }.
% 3.86/4.24 (23391) {G0,W9,D2,L1,V0,M1} { eqangle( skol30, skol20, skol20, skol25,
% 3.86/4.24 skol26, skol20, skol20, skol28 ) }.
% 3.86/4.24 (23392) {G0,W5,D2,L1,V0,M1} { circle( skol27, skol20, skol30, skol31 ) }.
% 3.86/4.24 (23393) {G0,W4,D2,L1,V0,M1} { coll( skol32, skol25, skol26 ) }.
% 3.86/4.24 (23394) {G0,W4,D2,L1,V0,M1} { coll( skol32, skol20, skol30 ) }.
% 3.86/4.24 (23395) {G0,W5,D2,L1,V0,M1} { perp( skol23, skol30, skol25, skol26 ) }.
% 3.86/4.24 (23396) {G0,W4,D2,L1,V0,M1} { coll( skol23, skol25, skol26 ) }.
% 3.86/4.24 (23397) {G0,W5,D2,L1,V0,M1} { perp( skol24, skol30, skol20, skol25 ) }.
% 3.86/4.24 (23398) {G0,W4,D2,L1,V0,M1} { coll( skol24, skol20, skol25 ) }.
% 3.86/4.24 (23399) {G0,W5,D2,L1,V0,M1} { ! perp( skol23, skol24, skol22, skol20 ) }.
% 3.86/4.24
% 3.86/4.24
% 3.86/4.24 Total Proof:
% 3.86/4.24
% 3.86/4.24 subsumption: (0) {G0,W8,D2,L2,V3,M2} I { ! coll( X, Y, Z ), coll( X, Z, Y )
% 3.86/4.24 }.
% 3.86/4.24 parent0: (23270) {G0,W8,D2,L2,V3,M2} { ! coll( X, Y, Z ), coll( X, Z, Y )
% 3.86/4.24 }.
% 3.86/4.24 substitution0:
% 3.86/4.24 X := X
% 3.86/4.24 Y := Y
% 3.86/4.24 Z := Z
% 3.86/4.24 end
% 3.86/4.24 permutation0:
% 3.86/4.24 0 ==> 0
% 3.86/4.24 1 ==> 1
% 3.86/4.24 end
% 3.86/4.24
% 3.86/4.24 subsumption: (1) {G0,W8,D2,L2,V3,M2} I { ! coll( X, Y, Z ), coll( Y, X, Z )
% 3.86/4.24 }.
% 3.86/4.24 parent0: (23271) {G0,W8,D2,L2,V3,M2} { ! coll( X, Y, Z ), coll( Y, X, Z )
% 3.86/4.24 }.
% 3.86/4.24 substitution0:
% 3.86/4.24 X := X
% 3.86/4.24 Y := Y
% 3.86/4.24 Z := Z
% 3.86/4.24 end
% 3.86/4.24 permutation0:
% 3.86/4.24 0 ==> 0
% 3.86/4.24 1 ==> 1
% 3.86/4.24 end
% 3.86/4.24
% 3.86/4.24 subsumption: (2) {G0,W12,D2,L3,V4,M3} I { ! coll( X, T, Y ), ! coll( X, T,
% 3.86/4.24 Z ), coll( Y, Z, X ) }.
% 3.86/4.24 parent0: (23272) {G0,W12,D2,L3,V4,M3} { ! coll( X, T, Y ), ! coll( X, T, Z
% 3.86/4.24 ), coll( Y, Z, X ) }.
% 3.86/4.24 substitution0:
% 3.86/4.24 X := X
% 3.86/4.24 Y := Y
% 3.86/4.24 Z := Z
% 3.86/4.24 T := T
% 3.86/4.24 end
% 3.86/4.24 permutation0:
% 3.86/4.24 0 ==> 0
% 3.86/4.24 1 ==> 1
% 3.86/4.24 2 ==> 2
% 3.86/4.24 end
% 3.86/4.24
% 3.86/4.24 subsumption: (6) {G0,W10,D2,L2,V4,M2} I { ! perp( X, Y, Z, T ), perp( X, Y
% 3.86/4.24 , T, Z ) }.
% 3.86/4.24 parent0: (23276) {G0,W10,D2,L2,V4,M2} { ! perp( X, Y, Z, T ), perp( X, Y,
% 3.86/4.24 T, Z ) }.
% 3.86/4.24 substitution0:
% 3.86/4.24 X := X
% 3.86/4.24 Y := Y
% 3.86/4.24 Z := Z
% 3.86/4.24 T := T
% 3.86/4.24 end
% 3.86/4.24 permutation0:
% 3.86/4.24 0 ==> 0
% 3.86/4.24 1 ==> 1
% 3.86/4.24 end
% 3.86/4.24
% 3.86/4.24 subsumption: (7) {G0,W10,D2,L2,V4,M2} I { ! perp( X, Y, Z, T ), perp( Z, T
% 3.86/4.24 , X, Y ) }.
% 3.86/4.24 parent0: (23277) {G0,W10,D2,L2,V4,M2} { ! perp( X, Y, Z, T ), perp( Z, T,
% 3.86/4.24 X, Y ) }.
% 3.86/4.24 substitution0:
% 3.86/4.24 X := X
% 3.86/4.24 Y := Y
% 3.86/4.24 Z := Z
% 3.86/4.24 T := T
% 3.86/4.24 end
% 3.86/4.24 permutation0:
% 3.86/4.24 0 ==> 0
% 3.86/4.24 1 ==> 1
% 3.86/4.24 end
% 3.86/4.24
% 3.86/4.24 subsumption: (8) {G0,W15,D2,L3,V6,M3} I { ! perp( X, Y, U, W ), ! perp( U,
% 3.86/4.24 W, Z, T ), para( X, Y, Z, T ) }.
% 3.86/4.24 parent0: (23278) {G0,W15,D2,L3,V6,M3} { ! perp( X, Y, U, W ), ! perp( U, W
% 3.86/4.24 , Z, T ), para( X, Y, Z, T ) }.
% 3.86/4.24 substitution0:
% 3.86/4.24 X := X
% 3.86/4.24 Y := Y
% 3.86/4.24 Z := Z
% 3.86/4.24 T := T
% 3.86/4.24 U := U
% 3.86/4.24 W := W
% 3.86/4.24 end
% 3.86/4.24 permutation0:
% 3.86/4.24 0 ==> 0
% 3.86/4.24 1 ==> 1
% 3.86/4.24 2 ==> 2
% 3.86/4.24 end
% 3.86/4.24
% 3.86/4.24 subsumption: (9) {G0,W15,D2,L3,V6,M3} I { ! para( X, Y, U, W ), ! perp( U,
% 3.86/4.24 W, Z, T ), perp( X, Y, Z, T ) }.
% 3.86/4.24 parent0: (23279) {G0,W15,D2,L3,V6,M3} { ! para( X, Y, U, W ), ! perp( U, W
% 3.86/4.24 , Z, T ), perp( X, Y, Z, T ) }.
% 3.86/4.24 substitution0:
% 3.86/4.24 X := X
% 3.86/4.24 Y := Y
% 3.86/4.24 Z := Z
% 3.86/4.24 T := T
% 3.86/4.24 U := U
% 3.86/4.24 W := W
% 3.86/4.24 end
% 3.86/4.24 permutation0:
% 3.86/4.24 0 ==> 0
% 3.86/4.24 1 ==> 1
% 3.86/4.24 2 ==> 2
% 3.86/4.24 end
% 3.86/4.24
% 3.86/4.24 subsumption: (13) {G0,W10,D2,L2,V4,M2} I { ! cyclic( X, Y, Z, T ), cyclic(
% 3.86/4.24 X, Y, T, Z ) }.
% 3.86/4.24 parent0: (23283) {G0,W10,D2,L2,V4,M2} { ! cyclic( X, Y, Z, T ), cyclic( X
% 3.86/4.24 , Y, T, Z ) }.
% 3.86/4.24 substitution0:
% 3.86/4.24 X := X
% 3.86/4.24 Y := Y
% 3.86/4.24 Z := Z
% 3.86/4.24 T := T
% 3.86/4.24 end
% 3.86/4.24 permutation0:
% 3.86/4.24 0 ==> 0
% 3.86/4.24 1 ==> 1
% 3.86/4.24 end
% 3.86/4.24
% 3.86/4.24 subsumption: (14) {G0,W10,D2,L2,V4,M2} I { ! cyclic( X, Y, Z, T ), cyclic(
% 3.86/4.24 X, Z, Y, T ) }.
% 3.86/4.24 parent0: (23284) {G0,W10,D2,L2,V4,M2} { ! cyclic( X, Y, Z, T ), cyclic( X
% 3.86/4.24 , Z, Y, T ) }.
% 3.86/4.24 substitution0:
% 3.86/4.24 X := X
% 3.86/4.24 Y := Y
% 3.86/4.24 Z := Z
% 3.86/4.24 T := T
% 3.86/4.24 end
% 3.86/4.24 permutation0:
% 3.86/4.24 0 ==> 0
% 3.86/4.24 1 ==> 1
% 3.86/4.24 end
% 3.86/4.24
% 3.86/4.24 subsumption: (15) {G0,W10,D2,L2,V4,M2} I { ! cyclic( X, Y, Z, T ), cyclic(
% 3.86/4.24 Y, X, Z, T ) }.
% 3.86/4.24 parent0: (23285) {G0,W10,D2,L2,V4,M2} { ! cyclic( X, Y, Z, T ), cyclic( Y
% 3.86/4.24 , X, Z, T ) }.
% 3.86/4.24 substitution0:
% 3.86/4.24 X := X
% 3.86/4.24 Y := Y
% 3.86/4.24 Z := Z
% 3.86/4.24 T := T
% 3.86/4.24 end
% 3.86/4.24 permutation0:
% 3.86/4.24 0 ==> 0
% 3.86/4.24 1 ==> 1
% 3.86/4.24 end
% 3.86/4.24
% 3.86/4.24 subsumption: (16) {G0,W15,D2,L3,V5,M3} I { ! cyclic( U, X, Y, Z ), ! cyclic
% 3.86/4.24 ( U, X, Y, T ), cyclic( X, Y, Z, T ) }.
% 3.86/4.24 parent0: (23286) {G0,W15,D2,L3,V5,M3} { ! cyclic( U, X, Y, Z ), ! cyclic(
% 3.86/4.24 U, X, Y, T ), cyclic( X, Y, Z, T ) }.
% 3.86/4.24 substitution0:
% 3.86/4.24 X := X
% 3.86/4.24 Y := Y
% 3.86/4.24 Z := Z
% 3.86/4.24 T := T
% 3.86/4.24 U := U
% 3.86/4.24 end
% 3.86/4.24 permutation0:
% 3.86/4.24 0 ==> 0
% 3.86/4.24 1 ==> 1
% 3.86/4.24 2 ==> 2
% 3.86/4.24 end
% 3.86/4.24
% 3.86/4.24 subsumption: (39) {G0,W14,D2,L2,V6,M2} I { ! para( X, Y, Z, T ), eqangle( X
% 3.86/4.24 , Y, U, W, Z, T, U, W ) }.
% 3.86/4.24 parent0: (23309) {G0,W14,D2,L2,V6,M2} { ! para( X, Y, Z, T ), eqangle( X,
% 3.86/4.24 Y, U, W, Z, T, U, W ) }.
% 3.86/4.24 substitution0:
% 3.86/4.24 X := X
% 3.86/4.24 Y := Y
% 3.86/4.24 Z := Z
% 3.86/4.24 T := T
% 3.86/4.24 U := U
% 3.86/4.24 W := W
% 3.86/4.24 end
% 3.86/4.24 permutation0:
% 3.86/4.24 0 ==> 0
% 3.86/4.24 1 ==> 1
% 3.86/4.24 end
% 3.86/4.24
% 3.86/4.24 subsumption: (40) {G0,W14,D2,L2,V4,M2} I { ! cyclic( X, Y, Z, T ), eqangle
% 3.86/4.24 ( Z, X, Z, Y, T, X, T, Y ) }.
% 3.86/4.24 parent0: (23310) {G0,W14,D2,L2,V4,M2} { ! cyclic( X, Y, Z, T ), eqangle( Z
% 3.86/4.24 , X, Z, Y, T, X, T, Y ) }.
% 3.86/4.24 substitution0:
% 3.86/4.24 X := X
% 3.86/4.24 Y := Y
% 3.86/4.24 Z := Z
% 3.86/4.24 T := T
% 3.86/4.24 end
% 3.86/4.24 permutation0:
% 3.86/4.24 0 ==> 0
% 3.86/4.24 1 ==> 1
% 3.86/4.24 end
% 3.86/4.24
% 3.86/4.24 subsumption: (42) {G0,W18,D2,L3,V4,M3} I { ! eqangle( Z, X, Z, Y, T, X, T,
% 3.86/4.24 Y ), ! coll( Z, T, Y ), cyclic( X, Y, Z, T ) }.
% 3.86/4.24 parent0: (23312) {G0,W18,D2,L3,V4,M3} { ! eqangle( Z, X, Z, Y, T, X, T, Y
% 3.86/4.24 ), ! coll( Z, T, Y ), cyclic( X, Y, Z, T ) }.
% 3.86/4.24 substitution0:
% 3.86/4.24 X := X
% 3.86/4.24 Y := Y
% 3.86/4.24 Z := Z
% 3.86/4.24 T := T
% 3.86/4.24 end
% 3.86/4.24 permutation0:
% 3.86/4.24 0 ==> 0
% 3.86/4.24 1 ==> 1
% 3.86/4.24 2 ==> 2
% 3.86/4.24 end
% 3.86/4.24
% 3.86/4.24 subsumption: (43) {G0,W29,D2,L5,V6,M5} I { ! cyclic( X, Y, U, Z ), ! cyclic
% 3.86/4.24 ( X, Y, U, T ), ! cyclic( X, Y, U, W ), ! eqangle( U, X, U, Y, W, Z, W, T
% 3.86/4.24 ), cong( X, Y, Z, T ) }.
% 3.86/4.24 parent0: (23313) {G0,W29,D2,L5,V6,M5} { ! cyclic( X, Y, U, Z ), ! cyclic(
% 3.86/4.24 X, Y, U, T ), ! cyclic( X, Y, U, W ), ! eqangle( U, X, U, Y, W, Z, W, T )
% 3.86/4.24 , cong( X, Y, Z, T ) }.
% 3.86/4.24 substitution0:
% 3.86/4.24 X := X
% 3.86/4.24 Y := Y
% 3.86/4.24 Z := Z
% 3.86/4.24 T := T
% 3.86/4.24 U := U
% 3.86/4.24 W := W
% 3.86/4.24 end
% 3.86/4.24 permutation0:
% 3.86/4.24 0 ==> 0
% 3.86/4.24 1 ==> 1
% 3.86/4.24 2 ==> 2
% 3.86/4.24 3 ==> 3
% 3.86/4.24 4 ==> 4
% 3.86/4.24 end
% 3.86/4.24
% 3.86/4.24 subsumption: (53) {G0,W14,D2,L3,V4,M3} I { ! circle( T, X, Y, Z ), ! coll(
% 3.86/4.24 T, X, Z ), perp( X, Y, Y, Z ) }.
% 3.86/4.24 parent0: (23323) {G0,W14,D2,L3,V4,M3} { ! circle( T, X, Y, Z ), ! coll( T
% 3.86/4.24 , X, Z ), perp( X, Y, Y, Z ) }.
% 3.86/4.24 substitution0:
% 3.86/4.24 X := X
% 3.86/4.24 Y := Y
% 3.86/4.24 Z := Z
% 3.86/4.24 T := T
% 3.86/4.24 end
% 3.86/4.24 permutation0:
% 3.86/4.24 0 ==> 0
% 3.86/4.24 1 ==> 1
% 3.86/4.24 2 ==> 2
% 3.86/4.24 end
% 3.86/4.24
% 3.86/4.24 subsumption: (56) {G0,W15,D2,L3,V4,M3} I { ! cong( X, Z, Y, Z ), ! cong( X
% 3.86/4.24 , T, Y, T ), perp( X, Y, Z, T ) }.
% 3.86/4.24 parent0: (23326) {G0,W15,D2,L3,V4,M3} { ! cong( X, Z, Y, Z ), ! cong( X, T
% 3.86/4.24 , Y, T ), perp( X, Y, Z, T ) }.
% 3.86/4.24 substitution0:
% 3.86/4.24 X := X
% 3.86/4.24 Y := Y
% 3.86/4.24 Z := Z
% 3.86/4.24 T := T
% 3.86/4.24 end
% 3.86/4.24 permutation0:
% 3.86/4.24 0 ==> 0
% 3.86/4.24 1 ==> 1
% 3.86/4.24 2 ==> 2
% 3.86/4.24 end
% 3.86/4.24
% 3.86/4.24 subsumption: (69) {G0,W8,D2,L2,V3,M2} I { ! midp( X, Y, Z ), coll( X, Y, Z
% 3.86/4.24 ) }.
% 3.86/4.24 parent0: (23339) {G0,W8,D2,L2,V3,M2} { ! midp( X, Y, Z ), coll( X, Y, Z )
% 3.86/4.24 }.
% 3.86/4.24 substitution0:
% 3.86/4.24 X := X
% 3.86/4.24 Y := Y
% 3.86/4.24 Z := Z
% 3.86/4.24 end
% 3.86/4.24 permutation0:
% 3.86/4.24 0 ==> 0
% 3.86/4.24 1 ==> 1
% 3.86/4.24 end
% 3.86/4.24
% 3.86/4.24 subsumption: (88) {G0,W22,D3,L5,V7,M5} I { ! midp( Z, X, Y ), ! midp( W, T
% 3.86/4.24 , U ), ! coll( T, X, Y ), ! coll( U, X, Y ), midp( skol7( X, V0 ), X, V0
% 3.86/4.24 ) }.
% 3.86/4.24 parent0: (23359) {G0,W22,D3,L5,V7,M5} { ! midp( Z, X, Y ), ! midp( W, T, U
% 3.86/4.24 ), ! coll( T, X, Y ), ! coll( U, X, Y ), midp( skol7( X, V0 ), X, V0 )
% 3.86/4.24 }.
% 3.86/4.24 substitution0:
% 3.86/4.24 X := X
% 3.86/4.24 Y := Y
% 3.86/4.24 Z := Z
% 3.86/4.24 T := T
% 3.86/4.24 U := U
% 3.86/4.24 W := W
% 3.86/4.24 V0 := V0
% 3.86/4.24 end
% 3.86/4.24 permutation0:
% 3.86/4.24 0 ==> 0
% 3.86/4.24 1 ==> 1
% 3.86/4.24 2 ==> 2
% 3.86/4.24 3 ==> 3
% 3.86/4.24 4 ==> 4
% 3.86/4.24 end
% 3.86/4.24
% 3.86/4.24 subsumption: (95) {G0,W18,D3,L3,V4,M3} I { ! perp( X, T, Y, Z ), ! perp( Y
% 3.86/4.24 , T, X, Z ), perp( X, skol10( X, Y, Z ), Z, Y ) }.
% 3.86/4.24 parent0: (23366) {G0,W18,D3,L3,V4,M3} { ! perp( X, T, Y, Z ), ! perp( Y, T
% 3.86/4.24 , X, Z ), perp( X, skol10( X, Y, Z ), Z, Y ) }.
% 3.86/4.24 substitution0:
% 3.86/4.24 X := X
% 3.86/4.24 Y := Y
% 3.86/4.24 Z := Z
% 3.86/4.24 T := T
% 3.86/4.24 end
% 3.86/4.24 permutation0:
% 3.86/4.24 0 ==> 0
% 3.86/4.24 1 ==> 1
% 3.86/4.24 2 ==> 2
% 3.86/4.24 end
% 3.86/4.24
% 3.86/4.24 subsumption: (100) {G0,W12,D3,L2,V4,M2} I { ! circle( Y, X, Z, T ), perp(
% 3.86/4.24 skol12( X, Y ), X, X, Y ) }.
% 3.86/4.24 parent0: (23371) {G0,W12,D3,L2,V4,M2} { ! circle( Y, X, Z, T ), perp(
% 3.86/4.24 skol12( X, Y ), X, X, Y ) }.
% 3.86/4.24 substitution0:
% 3.86/4.24 X := X
% 3.86/4.24 Y := Y
% 3.86/4.24 Z := Z
% 3.86/4.24 T := T
% 3.86/4.24 end
% 3.86/4.24 permutation0:
% 3.86/4.24 0 ==> 0
% 3.86/4.24 1 ==> 1
% 3.86/4.24 end
% 3.86/4.24
% 3.86/4.24 subsumption: (110) {G0,W17,D3,L3,V5,M3} I { ! perp( X, U, U, T ), ! coll( T
% 3.86/4.24 , Y, Z ), perp( skol16( X, Y, Z ), X, Y, Z ) }.
% 3.86/4.24 parent0: (23381) {G0,W17,D3,L3,V5,M3} { ! perp( X, U, U, T ), ! coll( T, Y
% 3.86/4.24 , Z ), perp( skol16( X, Y, Z ), X, Y, Z ) }.
% 3.86/4.24 substitution0:
% 3.86/4.24 X := X
% 3.86/4.24 Y := Y
% 3.86/4.24 Z := Z
% 3.86/4.24 T := T
% 3.86/4.24 U := U
% 3.86/4.24 end
% 3.86/4.24 permutation0:
% 3.86/4.24 0 ==> 0
% 3.86/4.24 1 ==> 1
% 3.86/4.24 2 ==> 2
% 3.86/4.24 end
% 3.86/4.24
% 3.86/4.24 subsumption: (116) {G0,W5,D2,L1,V0,M1} I { circle( skol27, skol20, skol25,
% 3.86/4.24 skol26 ) }.
% 3.86/4.24 parent0: (23387) {G0,W5,D2,L1,V0,M1} { circle( skol27, skol20, skol25,
% 3.86/4.24 skol26 ) }.
% 3.86/4.24 substitution0:
% 3.86/4.24 end
% 3.86/4.24 permutation0:
% 3.86/4.24 0 ==> 0
% 3.86/4.24 end
% 3.86/4.24
% 3.86/4.24 subsumption: (117) {G0,W4,D2,L1,V0,M1} I { midp( skol28, skol26, skol25 )
% 3.86/4.24 }.
% 3.86/4.24 parent0: (23388) {G0,W4,D2,L1,V0,M1} { midp( skol28, skol26, skol25 ) }.
% 3.86/4.24 substitution0:
% 3.86/4.24 end
% 3.86/4.24 permutation0:
% 3.86/4.24 0 ==> 0
% 3.86/4.24 end
% 3.86/4.24
% 3.86/4.24 subsumption: (118) {G0,W5,D2,L1,V0,M1} I { circle( skol27, skol20, skol22,
% 3.86/4.24 skol29 ) }.
% 3.86/4.24 parent0: (23389) {G0,W5,D2,L1,V0,M1} { circle( skol27, skol20, skol22,
% 3.86/4.24 skol29 ) }.
% 3.86/4.24 substitution0:
% 3.86/4.24 end
% 3.86/4.24 permutation0:
% 3.86/4.24 0 ==> 0
% 3.86/4.24 end
% 3.86/4.24
% 3.86/4.24 subsumption: (125) {G0,W4,D2,L1,V0,M1} I { coll( skol23, skol25, skol26 )
% 3.86/4.24 }.
% 3.86/4.24 parent0: (23396) {G0,W4,D2,L1,V0,M1} { coll( skol23, skol25, skol26 ) }.
% 3.86/4.24 substitution0:
% 3.86/4.24 end
% 3.86/4.24 permutation0:
% 3.86/4.24 0 ==> 0
% 3.86/4.24 end
% 3.86/4.24
% 3.86/4.24 subsumption: (128) {G0,W5,D2,L1,V0,M1} I { ! perp( skol23, skol24, skol22,
% 3.86/4.24 skol20 ) }.
% 3.86/4.24 parent0: (23399) {G0,W5,D2,L1,V0,M1} { ! perp( skol23, skol24, skol22,
% 3.86/4.24 skol20 ) }.
% 3.86/4.24 substitution0:
% 3.86/4.24 end
% 3.86/4.24 permutation0:
% 3.86/4.24 0 ==> 0
% 3.86/4.24 end
% 3.86/4.24
% 3.86/4.24 factor: (23976) {G0,W18,D3,L4,V4,M4} { ! midp( X, Y, Z ), ! coll( Y, Y, Z
% 3.86/4.24 ), ! coll( Z, Y, Z ), midp( skol7( Y, T ), Y, T ) }.
% 3.86/4.24 parent0[0, 1]: (88) {G0,W22,D3,L5,V7,M5} I { ! midp( Z, X, Y ), ! midp( W,
% 3.86/4.24 T, U ), ! coll( T, X, Y ), ! coll( U, X, Y ), midp( skol7( X, V0 ), X, V0
% 3.86/4.24 ) }.
% 3.86/4.24 substitution0:
% 3.86/4.24 X := Y
% 3.86/4.24 Y := Z
% 3.86/4.24 Z := X
% 3.86/4.24 T := Y
% 3.86/4.24 U := Z
% 3.86/4.24 W := X
% 3.86/4.24 V0 := T
% 3.86/4.24 end
% 3.86/4.24
% 3.86/4.24 subsumption: (151) {G1,W18,D3,L4,V4,M4} F(88) { ! midp( X, Y, Z ), ! coll(
% 3.86/4.24 Y, Y, Z ), ! coll( Z, Y, Z ), midp( skol7( Y, T ), Y, T ) }.
% 3.86/4.24 parent0: (23976) {G0,W18,D3,L4,V4,M4} { ! midp( X, Y, Z ), ! coll( Y, Y, Z
% 3.86/4.24 ), ! coll( Z, Y, Z ), midp( skol7( Y, T ), Y, T ) }.
% 3.86/4.24 substitution0:
% 3.86/4.24 X := X
% 3.86/4.24 Y := Y
% 3.86/4.24 Z := Z
% 3.86/4.24 T := T
% 3.86/4.24 end
% 3.86/4.24 permutation0:
% 3.86/4.24 0 ==> 0
% 3.86/4.24 1 ==> 1
% 3.86/4.24 2 ==> 2
% 3.86/4.24 3 ==> 3
% 3.86/4.24 end
% 3.86/4.24
% 3.86/4.24 factor: (23979) {G0,W13,D3,L2,V3,M2} { ! perp( X, Y, X, Z ), perp( X,
% 3.86/4.24 skol10( X, X, Z ), Z, X ) }.
% 3.86/4.24 parent0[0, 1]: (95) {G0,W18,D3,L3,V4,M3} I { ! perp( X, T, Y, Z ), ! perp(
% 3.86/4.24 Y, T, X, Z ), perp( X, skol10( X, Y, Z ), Z, Y ) }.
% 3.86/4.24 substitution0:
% 3.86/4.24 X := X
% 3.86/4.24 Y := X
% 3.86/4.24 Z := Z
% 3.86/4.24 T := Y
% 3.86/4.24 end
% 3.86/4.24
% 3.86/4.24 subsumption: (157) {G1,W13,D3,L2,V3,M2} F(95) { ! perp( X, Y, X, Z ), perp
% 3.86/4.24 ( X, skol10( X, X, Z ), Z, X ) }.
% 3.86/4.24 parent0: (23979) {G0,W13,D3,L2,V3,M2} { ! perp( X, Y, X, Z ), perp( X,
% 3.86/4.24 skol10( X, X, Z ), Z, X ) }.
% 3.86/4.24 substitution0:
% 3.86/4.24 X := X
% 3.86/4.24 Y := Y
% 3.86/4.24 Z := Z
% 3.86/4.24 end
% 3.86/4.24 permutation0:
% 3.86/4.24 0 ==> 0
% 3.86/4.24 1 ==> 1
% 3.86/4.24 end
% 3.86/4.24
% 3.86/4.24 resolution: (23980) {G1,W8,D2,L2,V3,M2} { coll( Y, X, Z ), ! coll( X, Z, Y
% 3.86/4.24 ) }.
% 3.86/4.24 parent0[0]: (1) {G0,W8,D2,L2,V3,M2} I { ! coll( X, Y, Z ), coll( Y, X, Z )
% 3.86/4.24 }.
% 3.86/4.24 parent1[1]: (0) {G0,W8,D2,L2,V3,M2} I { ! coll( X, Y, Z ), coll( X, Z, Y )
% 3.86/4.24 }.
% 3.86/4.24 substitution0:
% 3.86/4.24 X := X
% 3.86/4.24 Y := Y
% 3.86/4.24 Z := Z
% 3.86/4.24 end
% 3.86/4.24 substitution1:
% 3.86/4.24 X := X
% 3.86/4.24 Y := Z
% 3.86/4.24 Z := Y
% 3.86/4.24 end
% 3.86/4.24
% 3.86/4.24 subsumption: (175) {G1,W8,D2,L2,V3,M2} R(1,0) { coll( X, Y, Z ), ! coll( Y
% 3.86/4.24 , Z, X ) }.
% 3.86/4.24 parent0: (23980) {G1,W8,D2,L2,V3,M2} { coll( Y, X, Z ), ! coll( X, Z, Y )
% 3.86/4.24 }.
% 3.86/4.24 substitution0:
% 3.86/4.24 X := Y
% 3.86/4.24 Y := X
% 3.86/4.24 Z := Z
% 3.86/4.24 end
% 3.86/4.24 permutation0:
% 3.86/4.24 0 ==> 0
% 3.86/4.24 1 ==> 1
% 3.86/4.24 end
% 3.86/4.24
% 3.86/4.24 resolution: (23982) {G1,W8,D2,L2,V3,M2} { coll( X, Z, Y ), ! coll( Y, X, Z
% 3.86/4.24 ) }.
% 3.86/4.24 parent0[0]: (0) {G0,W8,D2,L2,V3,M2} I { ! coll( X, Y, Z ), coll( X, Z, Y )
% 3.86/4.24 }.
% 3.86/4.24 parent1[1]: (1) {G0,W8,D2,L2,V3,M2} I { ! coll( X, Y, Z ), coll( Y, X, Z )
% 3.86/4.24 }.
% 3.86/4.24 substitution0:
% 3.86/4.24 X := X
% 3.86/4.24 Y := Y
% 3.86/4.24 Z := Z
% 3.86/4.24 end
% 3.86/4.24 substitution1:
% 3.86/4.24 X := Y
% 3.86/4.24 Y := X
% 3.86/4.24 Z := Z
% 3.86/4.24 end
% 3.86/4.24
% 3.86/4.24 subsumption: (176) {G1,W8,D2,L2,V3,M2} R(1,0) { ! coll( X, Y, Z ), coll( Y
% 3.86/4.24 , Z, X ) }.
% 3.86/4.24 parent0: (23982) {G1,W8,D2,L2,V3,M2} { coll( X, Z, Y ), ! coll( Y, X, Z )
% 3.86/4.24 }.
% 3.86/4.24 substitution0:
% 3.86/4.24 X := Y
% 3.86/4.24 Y := X
% 3.86/4.24 Z := Z
% 3.86/4.24 end
% 3.86/4.24 permutation0:
% 3.86/4.24 0 ==> 1
% 3.86/4.24 1 ==> 0
% 3.86/4.24 end
% 3.86/4.24
% 3.86/4.24 resolution: (23983) {G1,W4,D2,L1,V0,M1} { coll( skol25, skol23, skol26 )
% 3.86/4.24 }.
% 3.86/4.24 parent0[0]: (1) {G0,W8,D2,L2,V3,M2} I { ! coll( X, Y, Z ), coll( Y, X, Z )
% 3.86/4.24 }.
% 3.86/4.24 parent1[0]: (125) {G0,W4,D2,L1,V0,M1} I { coll( skol23, skol25, skol26 )
% 3.86/4.24 }.
% 3.86/4.24 substitution0:
% 3.86/4.24 X := skol23
% 3.86/4.24 Y := skol25
% 3.86/4.24 Z := skol26
% 3.86/4.24 end
% 3.86/4.24 substitution1:
% 3.86/4.24 end
% 3.86/4.24
% 3.86/4.24 subsumption: (180) {G1,W4,D2,L1,V0,M1} R(1,125) { coll( skol25, skol23,
% 3.86/4.24 skol26 ) }.
% 3.86/4.24 parent0: (23983) {G1,W4,D2,L1,V0,M1} { coll( skol25, skol23, skol26 ) }.
% 3.86/4.24 substitution0:
% 3.86/4.24 end
% 3.86/4.24 permutation0:
% 3.86/4.24 0 ==> 0
% 3.86/4.24 end
% 3.86/4.24
% 3.86/4.24 resolution: (23987) {G1,W12,D2,L3,V4,M3} { coll( X, Z, Y ), ! coll( Z, T,
% 3.86/4.24 X ), ! coll( Z, T, Y ) }.
% 3.86/4.24 parent0[0]: (0) {G0,W8,D2,L2,V3,M2} I { ! coll( X, Y, Z ), coll( X, Z, Y )
% 3.86/4.24 }.
% 3.86/4.24 parent1[2]: (2) {G0,W12,D2,L3,V4,M3} I { ! coll( X, T, Y ), ! coll( X, T, Z
% 3.86/4.24 ), coll( Y, Z, X ) }.
% 3.86/4.24 substitution0:
% 3.86/4.24 X := X
% 3.86/4.24 Y := Y
% 3.86/4.24 Z := Z
% 3.86/4.24 end
% 3.86/4.24 substitution1:
% 3.86/4.24 X := Z
% 3.86/4.24 Y := X
% 3.86/4.24 Z := Y
% 3.86/4.24 T := T
% 3.86/4.24 end
% 3.86/4.24
% 3.86/4.24 subsumption: (207) {G1,W12,D2,L3,V4,M3} R(2,0) { ! coll( X, Y, Z ), ! coll
% 3.86/4.24 ( X, Y, T ), coll( Z, X, T ) }.
% 3.86/4.24 parent0: (23987) {G1,W12,D2,L3,V4,M3} { coll( X, Z, Y ), ! coll( Z, T, X )
% 3.86/4.24 , ! coll( Z, T, Y ) }.
% 3.86/4.24 substitution0:
% 3.86/4.24 X := Z
% 3.86/4.24 Y := T
% 3.86/4.24 Z := X
% 3.86/4.24 T := Y
% 3.86/4.24 end
% 3.86/4.24 permutation0:
% 3.86/4.24 0 ==> 2
% 3.86/4.24 1 ==> 0
% 3.86/4.24 2 ==> 1
% 3.86/4.24 end
% 3.86/4.24
% 3.86/4.24 factor: (23989) {G1,W8,D2,L2,V3,M2} { ! coll( X, Y, Z ), coll( Z, X, Z )
% 3.86/4.24 }.
% 3.86/4.24 parent0[0, 1]: (207) {G1,W12,D2,L3,V4,M3} R(2,0) { ! coll( X, Y, Z ), !
% 3.86/4.24 coll( X, Y, T ), coll( Z, X, T ) }.
% 3.86/4.24 substitution0:
% 3.86/4.24 X := X
% 3.86/4.24 Y := Y
% 3.86/4.24 Z := Z
% 3.86/4.24 T := Z
% 3.86/4.24 end
% 3.86/4.24
% 3.86/4.24 subsumption: (218) {G2,W8,D2,L2,V3,M2} F(207) { ! coll( X, Y, Z ), coll( Z
% 3.86/4.24 , X, Z ) }.
% 3.86/4.24 parent0: (23989) {G1,W8,D2,L2,V3,M2} { ! coll( X, Y, Z ), coll( Z, X, Z )
% 3.86/4.24 }.
% 3.86/4.24 substitution0:
% 3.86/4.24 X := X
% 3.86/4.24 Y := Y
% 3.86/4.24 Z := Z
% 3.86/4.24 end
% 3.86/4.24 permutation0:
% 3.86/4.24 0 ==> 0
% 3.86/4.24 1 ==> 1
% 3.86/4.24 end
% 3.86/4.24
% 3.86/4.24 resolution: (23990) {G1,W5,D2,L1,V0,M1} { ! perp( skol23, skol24, skol20,
% 3.86/4.24 skol22 ) }.
% 3.86/4.24 parent0[0]: (128) {G0,W5,D2,L1,V0,M1} I { ! perp( skol23, skol24, skol22,
% 3.86/4.24 skol20 ) }.
% 3.86/4.24 parent1[1]: (6) {G0,W10,D2,L2,V4,M2} I { ! perp( X, Y, Z, T ), perp( X, Y,
% 3.86/4.24 T, Z ) }.
% 3.86/4.24 substitution0:
% 3.86/4.24 end
% 3.86/4.24 substitution1:
% 3.86/4.24 X := skol23
% 3.86/4.24 Y := skol24
% 3.86/4.24 Z := skol20
% 3.86/4.24 T := skol22
% 3.86/4.24 end
% 3.86/4.24
% 3.86/4.24 subsumption: (273) {G1,W5,D2,L1,V0,M1} R(128,6) { ! perp( skol23, skol24,
% 3.86/4.24 skol20, skol22 ) }.
% 3.86/4.24 parent0: (23990) {G1,W5,D2,L1,V0,M1} { ! perp( skol23, skol24, skol20,
% 3.86/4.24 skol22 ) }.
% 3.86/4.24 substitution0:
% 3.86/4.24 end
% 3.86/4.24 permutation0:
% 3.86/4.24 0 ==> 0
% 3.86/4.24 end
% 3.86/4.24
% 3.86/4.24 resolution: (23991) {G1,W5,D2,L1,V0,M1} { ! perp( skol20, skol22, skol23,
% 3.86/4.24 skol24 ) }.
% 3.86/4.24 parent0[0]: (273) {G1,W5,D2,L1,V0,M1} R(128,6) { ! perp( skol23, skol24,
% 3.86/4.24 skol20, skol22 ) }.
% 3.86/4.24 parent1[1]: (7) {G0,W10,D2,L2,V4,M2} I { ! perp( X, Y, Z, T ), perp( Z, T,
% 3.86/4.24 X, Y ) }.
% 3.86/4.24 substitution0:
% 3.86/4.24 end
% 3.86/4.24 substitution1:
% 3.86/4.24 X := skol20
% 3.86/4.24 Y := skol22
% 3.86/4.24 Z := skol23
% 3.86/4.24 T := skol24
% 3.86/4.24 end
% 3.86/4.24
% 3.86/4.24 subsumption: (274) {G2,W5,D2,L1,V0,M1} R(7,273) { ! perp( skol20, skol22,
% 3.86/4.24 skol23, skol24 ) }.
% 3.86/4.24 parent0: (23991) {G1,W5,D2,L1,V0,M1} { ! perp( skol20, skol22, skol23,
% 3.86/4.24 skol24 ) }.
% 3.86/4.24 substitution0:
% 3.86/4.24 end
% 3.86/4.24 permutation0:
% 3.86/4.24 0 ==> 0
% 3.86/4.24 end
% 3.86/4.24
% 3.86/4.24 resolution: (23993) {G1,W10,D2,L2,V4,M2} { perp( X, Y, T, Z ), ! perp( Z,
% 3.86/4.24 T, X, Y ) }.
% 3.86/4.24 parent0[0]: (6) {G0,W10,D2,L2,V4,M2} I { ! perp( X, Y, Z, T ), perp( X, Y,
% 3.86/4.24 T, Z ) }.
% 3.86/4.24 parent1[1]: (7) {G0,W10,D2,L2,V4,M2} I { ! perp( X, Y, Z, T ), perp( Z, T,
% 3.86/4.24 X, Y ) }.
% 3.86/4.24 substitution0:
% 3.86/4.24 X := X
% 3.86/4.24 Y := Y
% 3.86/4.24 Z := Z
% 3.86/4.24 T := T
% 3.86/4.24 end
% 3.86/4.24 substitution1:
% 3.86/4.24 X := Z
% 3.86/4.24 Y := T
% 3.86/4.24 Z := X
% 3.86/4.24 T := Y
% 3.86/4.24 end
% 3.86/4.24
% 3.86/4.24 subsumption: (277) {G1,W10,D2,L2,V4,M2} R(7,6) { ! perp( X, Y, Z, T ), perp
% 3.86/4.24 ( Z, T, Y, X ) }.
% 3.86/4.24 parent0: (23993) {G1,W10,D2,L2,V4,M2} { perp( X, Y, T, Z ), ! perp( Z, T,
% 3.86/4.24 X, Y ) }.
% 3.86/4.24 substitution0:
% 3.86/4.24 X := Z
% 3.86/4.24 Y := T
% 3.86/4.24 Z := X
% 3.86/4.24 T := Y
% 3.86/4.24 end
% 3.86/4.24 permutation0:
% 3.86/4.24 0 ==> 1
% 3.86/4.24 1 ==> 0
% 3.86/4.24 end
% 3.86/4.24
% 3.86/4.24 resolution: (23994) {G1,W5,D2,L1,V0,M1} { ! perp( skol20, skol22, skol24,
% 3.86/4.24 skol23 ) }.
% 3.86/4.24 parent0[0]: (274) {G2,W5,D2,L1,V0,M1} R(7,273) { ! perp( skol20, skol22,
% 3.86/4.24 skol23, skol24 ) }.
% 3.86/4.24 parent1[1]: (6) {G0,W10,D2,L2,V4,M2} I { ! perp( X, Y, Z, T ), perp( X, Y,
% 3.86/4.24 T, Z ) }.
% 3.86/4.24 substitution0:
% 3.86/4.24 end
% 3.86/4.24 substitution1:
% 3.86/4.24 X := skol20
% 3.86/4.24 Y := skol22
% 3.86/4.24 Z := skol24
% 3.86/4.24 T := skol23
% 3.86/4.24 end
% 3.86/4.24
% 3.86/4.24 subsumption: (278) {G3,W5,D2,L1,V0,M1} R(274,6) { ! perp( skol20, skol22,
% 3.86/4.24 skol24, skol23 ) }.
% 3.86/4.24 parent0: (23994) {G1,W5,D2,L1,V0,M1} { ! perp( skol20, skol22, skol24,
% 3.86/4.24 skol23 ) }.
% 3.86/4.24 substitution0:
% 3.86/4.24 end
% 3.86/4.24 permutation0:
% 3.86/4.24 0 ==> 0
% 3.86/4.24 end
% 3.86/4.24
% 3.86/4.24 resolution: (23995) {G1,W5,D2,L1,V0,M1} { ! perp( skol24, skol23, skol20,
% 3.86/4.24 skol22 ) }.
% 3.86/4.24 parent0[0]: (278) {G3,W5,D2,L1,V0,M1} R(274,6) { ! perp( skol20, skol22,
% 3.86/4.24 skol24, skol23 ) }.
% 3.86/4.24 parent1[1]: (7) {G0,W10,D2,L2,V4,M2} I { ! perp( X, Y, Z, T ), perp( Z, T,
% 3.86/4.24 X, Y ) }.
% 3.86/4.24 substitution0:
% 3.86/4.24 end
% 3.86/4.24 substitution1:
% 3.86/4.24 X := skol24
% 3.86/4.24 Y := skol23
% 3.86/4.24 Z := skol20
% 3.86/4.24 T := skol22
% 3.86/4.24 end
% 3.86/4.24
% 3.86/4.24 subsumption: (279) {G4,W5,D2,L1,V0,M1} R(278,7) { ! perp( skol24, skol23,
% 3.86/4.24 skol20, skol22 ) }.
% 3.86/4.24 parent0: (23995) {G1,W5,D2,L1,V0,M1} { ! perp( skol24, skol23, skol20,
% 3.86/4.24 skol22 ) }.
% 3.86/4.24 substitution0:
% 3.86/4.24 end
% 3.86/4.24 permutation0:
% 3.86/4.24 0 ==> 0
% 3.86/4.24 end
% 3.86/4.24
% 3.86/4.24 resolution: (23996) {G1,W5,D2,L1,V0,M1} { ! perp( skol24, skol23, skol22,
% 3.86/4.24 skol20 ) }.
% 3.86/4.24 parent0[0]: (279) {G4,W5,D2,L1,V0,M1} R(278,7) { ! perp( skol24, skol23,
% 3.86/4.24 skol20, skol22 ) }.
% 3.86/4.24 parent1[1]: (6) {G0,W10,D2,L2,V4,M2} I { ! perp( X, Y, Z, T ), perp( X, Y,
% 3.86/4.24 T, Z ) }.
% 3.86/4.24 substitution0:
% 3.86/4.24 end
% 3.86/4.24 substitution1:
% 3.86/4.24 X := skol24
% 3.86/4.24 Y := skol23
% 3.86/4.24 Z := skol22
% 3.86/4.24 T := skol20
% 3.86/4.24 end
% 3.86/4.24
% 3.86/4.24 subsumption: (280) {G5,W5,D2,L1,V0,M1} R(279,6) { ! perp( skol24, skol23,
% 3.86/4.24 skol22, skol20 ) }.
% 3.86/4.24 parent0: (23996) {G1,W5,D2,L1,V0,M1} { ! perp( skol24, skol23, skol22,
% 3.86/4.24 skol20 ) }.
% 3.86/4.24 substitution0:
% 3.86/4.24 end
% 3.86/4.24 permutation0:
% 3.86/4.24 0 ==> 0
% 3.86/4.24 end
% 3.86/4.24
% 3.86/4.24 resolution: (23997) {G1,W15,D2,L3,V6,M3} { ! perp( Z, T, U, W ), para( X,
% 3.86/4.24 Y, U, W ), ! perp( Z, T, X, Y ) }.
% 3.86/4.24 parent0[0]: (8) {G0,W15,D2,L3,V6,M3} I { ! perp( X, Y, U, W ), ! perp( U, W
% 3.86/4.24 , Z, T ), para( X, Y, Z, T ) }.
% 3.86/4.24 parent1[1]: (7) {G0,W10,D2,L2,V4,M2} I { ! perp( X, Y, Z, T ), perp( Z, T,
% 3.86/4.24 X, Y ) }.
% 3.86/4.24 substitution0:
% 3.86/4.24 X := X
% 3.86/4.24 Y := Y
% 3.86/4.24 Z := U
% 3.86/4.24 T := W
% 3.86/4.24 U := Z
% 3.86/4.24 W := T
% 3.86/4.24 end
% 3.86/4.24 substitution1:
% 3.86/4.24 X := Z
% 3.86/4.24 Y := T
% 3.86/4.24 Z := X
% 3.86/4.24 T := Y
% 3.86/4.24 end
% 3.86/4.24
% 3.86/4.24 subsumption: (282) {G1,W15,D2,L3,V6,M3} R(8,7) { ! perp( X, Y, Z, T ), para
% 3.86/4.24 ( U, W, Z, T ), ! perp( X, Y, U, W ) }.
% 3.86/4.24 parent0: (23997) {G1,W15,D2,L3,V6,M3} { ! perp( Z, T, U, W ), para( X, Y,
% 3.86/4.24 U, W ), ! perp( Z, T, X, Y ) }.
% 3.86/4.24 substitution0:
% 3.86/4.24 X := U
% 3.86/4.24 Y := W
% 3.86/4.24 Z := X
% 3.86/4.24 T := Y
% 3.86/4.24 U := Z
% 3.86/4.24 W := T
% 3.86/4.24 end
% 3.86/4.24 permutation0:
% 3.86/4.24 0 ==> 0
% 3.86/4.24 1 ==> 1
% 3.86/4.24 2 ==> 2
% 3.86/4.24 end
% 3.86/4.24
% 3.86/4.24 resolution: (24002) {G1,W15,D2,L3,V6,M3} { ! perp( X, Y, Z, T ), para( X,
% 3.86/4.24 Y, U, W ), ! perp( U, W, Z, T ) }.
% 3.86/4.24 parent0[1]: (8) {G0,W15,D2,L3,V6,M3} I { ! perp( X, Y, U, W ), ! perp( U, W
% 3.86/4.24 , Z, T ), para( X, Y, Z, T ) }.
% 3.86/4.24 parent1[1]: (7) {G0,W10,D2,L2,V4,M2} I { ! perp( X, Y, Z, T ), perp( Z, T,
% 3.86/4.24 X, Y ) }.
% 3.86/4.24 substitution0:
% 3.86/4.24 X := X
% 3.86/4.24 Y := Y
% 3.86/4.24 Z := U
% 3.86/4.24 T := W
% 3.86/4.24 U := Z
% 3.86/4.24 W := T
% 3.86/4.24 end
% 3.86/4.24 substitution1:
% 3.86/4.24 X := U
% 3.86/4.24 Y := W
% 3.86/4.24 Z := Z
% 3.86/4.24 T := T
% 3.86/4.24 end
% 3.86/4.24
% 3.86/4.24 subsumption: (283) {G1,W15,D2,L3,V6,M3} R(8,7) { ! perp( X, Y, Z, T ), para
% 3.86/4.24 ( X, Y, U, W ), ! perp( U, W, Z, T ) }.
% 3.86/4.24 parent0: (24002) {G1,W15,D2,L3,V6,M3} { ! perp( X, Y, Z, T ), para( X, Y,
% 3.86/4.24 U, W ), ! perp( U, W, Z, T ) }.
% 3.86/4.24 substitution0:
% 3.86/4.24 X := X
% 3.86/4.24 Y := Y
% 3.86/4.24 Z := Z
% 3.86/4.24 T := T
% 3.86/4.24 U := U
% 3.86/4.24 W := W
% 3.86/4.24 end
% 3.86/4.24 permutation0:
% 3.86/4.24 0 ==> 0
% 3.86/4.24 1 ==> 1
% 3.86/4.24 2 ==> 2
% 3.86/4.24 end
% 3.86/4.24
% 3.86/4.24 factor: (24005) {G1,W10,D2,L2,V4,M2} { ! perp( X, Y, Z, T ), para( X, Y, X
% 3.86/4.24 , Y ) }.
% 3.86/4.24 parent0[0, 2]: (283) {G1,W15,D2,L3,V6,M3} R(8,7) { ! perp( X, Y, Z, T ),
% 3.86/4.24 para( X, Y, U, W ), ! perp( U, W, Z, T ) }.
% 3.86/4.24 substitution0:
% 3.86/4.24 X := X
% 3.86/4.24 Y := Y
% 3.86/4.24 Z := Z
% 3.86/4.24 T := T
% 3.86/4.24 U := X
% 3.86/4.24 W := Y
% 3.86/4.24 end
% 3.86/4.24
% 3.86/4.24 subsumption: (291) {G2,W10,D2,L2,V4,M2} F(283) { ! perp( X, Y, Z, T ), para
% 3.86/4.24 ( X, Y, X, Y ) }.
% 3.86/4.24 parent0: (24005) {G1,W10,D2,L2,V4,M2} { ! perp( X, Y, Z, T ), para( X, Y,
% 3.86/4.24 X, Y ) }.
% 3.86/4.24 substitution0:
% 3.86/4.24 X := X
% 3.86/4.24 Y := Y
% 3.86/4.24 Z := Z
% 3.86/4.24 T := T
% 3.86/4.24 end
% 3.86/4.24 permutation0:
% 3.86/4.24 0 ==> 0
% 3.86/4.24 1 ==> 1
% 3.86/4.24 end
% 3.86/4.24
% 3.86/4.24 resolution: (24006) {G1,W10,D2,L2,V2,M2} { ! para( skol24, skol23, X, Y )
% 3.86/4.24 , ! perp( X, Y, skol22, skol20 ) }.
% 3.86/4.24 parent0[0]: (280) {G5,W5,D2,L1,V0,M1} R(279,6) { ! perp( skol24, skol23,
% 3.86/4.24 skol22, skol20 ) }.
% 3.86/4.24 parent1[2]: (9) {G0,W15,D2,L3,V6,M3} I { ! para( X, Y, U, W ), ! perp( U, W
% 3.86/4.24 , Z, T ), perp( X, Y, Z, T ) }.
% 3.86/4.24 substitution0:
% 3.86/4.24 end
% 3.86/4.24 substitution1:
% 3.86/4.24 X := skol24
% 3.86/4.24 Y := skol23
% 3.86/4.24 Z := skol22
% 3.86/4.24 T := skol20
% 3.86/4.24 U := X
% 3.86/4.24 W := Y
% 3.86/4.24 end
% 3.86/4.24
% 3.86/4.24 subsumption: (307) {G6,W10,D2,L2,V2,M2} R(9,280) { ! para( skol24, skol23,
% 3.86/4.24 X, Y ), ! perp( X, Y, skol22, skol20 ) }.
% 3.86/4.24 parent0: (24006) {G1,W10,D2,L2,V2,M2} { ! para( skol24, skol23, X, Y ), !
% 3.86/4.24 perp( X, Y, skol22, skol20 ) }.
% 3.86/4.24 substitution0:
% 3.86/4.24 X := X
% 3.86/4.24 Y := Y
% 3.86/4.24 end
% 3.86/4.24 permutation0:
% 3.86/4.24 0 ==> 0
% 3.86/4.24 1 ==> 1
% 3.86/4.24 end
% 3.86/4.24
% 3.86/4.24 resolution: (24007) {G2,W4,D2,L1,V0,M1} { coll( skol26, skol25, skol26 )
% 3.86/4.24 }.
% 3.86/4.24 parent0[0]: (218) {G2,W8,D2,L2,V3,M2} F(207) { ! coll( X, Y, Z ), coll( Z,
% 3.86/4.24 X, Z ) }.
% 3.86/4.24 parent1[0]: (180) {G1,W4,D2,L1,V0,M1} R(1,125) { coll( skol25, skol23,
% 3.86/4.24 skol26 ) }.
% 3.86/4.24 substitution0:
% 3.86/4.24 X := skol25
% 3.86/4.24 Y := skol23
% 3.86/4.24 Z := skol26
% 3.86/4.24 end
% 3.86/4.24 substitution1:
% 3.86/4.24 end
% 3.86/4.24
% 3.86/4.24 subsumption: (378) {G3,W4,D2,L1,V0,M1} R(218,180) { coll( skol26, skol25,
% 3.86/4.24 skol26 ) }.
% 3.86/4.24 parent0: (24007) {G2,W4,D2,L1,V0,M1} { coll( skol26, skol25, skol26 ) }.
% 3.86/4.24 substitution0:
% 3.86/4.24 end
% 3.86/4.24 permutation0:
% 3.86/4.24 0 ==> 0
% 3.86/4.24 end
% 3.86/4.24
% 3.86/4.24 resolution: (24008) {G1,W12,D2,L3,V4,M3} { coll( Z, X, Z ), ! coll( Z, T,
% 3.86/4.24 X ), ! coll( Z, T, Y ) }.
% 3.86/4.24 parent0[0]: (218) {G2,W8,D2,L2,V3,M2} F(207) { ! coll( X, Y, Z ), coll( Z,
% 3.86/4.24 X, Z ) }.
% 3.86/4.24 parent1[2]: (2) {G0,W12,D2,L3,V4,M3} I { ! coll( X, T, Y ), ! coll( X, T, Z
% 3.86/4.24 ), coll( Y, Z, X ) }.
% 3.86/4.24 substitution0:
% 3.86/4.24 X := X
% 3.86/4.24 Y := Y
% 3.86/4.24 Z := Z
% 3.86/4.24 end
% 3.86/4.24 substitution1:
% 3.86/4.24 X := Z
% 3.86/4.24 Y := X
% 3.86/4.24 Z := Y
% 3.86/4.24 T := T
% 3.86/4.24 end
% 3.86/4.24
% 3.86/4.24 subsumption: (389) {G3,W12,D2,L3,V4,M3} R(218,2) { coll( X, Y, X ), ! coll
% 3.86/4.24 ( X, Z, Y ), ! coll( X, Z, T ) }.
% 3.86/4.24 parent0: (24008) {G1,W12,D2,L3,V4,M3} { coll( Z, X, Z ), ! coll( Z, T, X )
% 3.86/4.24 , ! coll( Z, T, Y ) }.
% 3.86/4.24 substitution0:
% 3.86/4.24 X := Y
% 3.86/4.24 Y := Y
% 3.86/4.24 Z := X
% 3.86/4.24 T := Z
% 3.86/4.24 end
% 3.86/4.24 permutation0:
% 3.86/4.24 0 ==> 0
% 3.86/4.24 1 ==> 1
% 3.86/4.24 2 ==> 1
% 3.86/4.24 end
% 3.86/4.24
% 3.86/4.24 factor: (24010) {G3,W8,D2,L2,V3,M2} { coll( X, Y, X ), ! coll( X, Z, Y )
% 3.86/4.24 }.
% 3.86/4.24 parent0[1, 2]: (389) {G3,W12,D2,L3,V4,M3} R(218,2) { coll( X, Y, X ), !
% 3.86/4.24 coll( X, Z, Y ), ! coll( X, Z, T ) }.
% 3.86/4.24 substitution0:
% 3.86/4.24 X := X
% 3.86/4.24 Y := Y
% 3.86/4.24 Z := Z
% 3.86/4.24 T := Y
% 3.86/4.24 end
% 3.86/4.24
% 3.86/4.24 subsumption: (406) {G4,W8,D2,L2,V3,M2} F(389) { coll( X, Y, X ), ! coll( X
% 3.86/4.24 , Z, Y ) }.
% 3.86/4.24 parent0: (24010) {G3,W8,D2,L2,V3,M2} { coll( X, Y, X ), ! coll( X, Z, Y )
% 3.86/4.24 }.
% 3.86/4.24 substitution0:
% 3.86/4.24 X := X
% 3.86/4.24 Y := Y
% 3.86/4.24 Z := Z
% 3.86/4.24 end
% 3.86/4.24 permutation0:
% 3.86/4.24 0 ==> 0
% 3.86/4.24 1 ==> 1
% 3.86/4.24 end
% 3.86/4.24
% 3.86/4.24 resolution: (24012) {G1,W10,D2,L2,V4,M2} { cyclic( X, Y, T, Z ), ! cyclic
% 3.86/4.24 ( X, Z, Y, T ) }.
% 3.86/4.24 parent0[0]: (13) {G0,W10,D2,L2,V4,M2} I { ! cyclic( X, Y, Z, T ), cyclic( X
% 3.86/4.24 , Y, T, Z ) }.
% 3.86/4.24 parent1[1]: (14) {G0,W10,D2,L2,V4,M2} I { ! cyclic( X, Y, Z, T ), cyclic( X
% 3.86/4.24 , Z, Y, T ) }.
% 3.86/4.24 substitution0:
% 3.86/4.24 X := X
% 3.86/4.24 Y := Y
% 3.86/4.24 Z := Z
% 3.86/4.24 T := T
% 3.86/4.24 end
% 3.86/4.24 substitution1:
% 3.86/4.24 X := X
% 3.86/4.24 Y := Z
% 3.86/4.24 Z := Y
% 3.86/4.24 T := T
% 3.86/4.24 end
% 3.86/4.24
% 3.86/4.24 subsumption: (412) {G1,W10,D2,L2,V4,M2} R(14,13) { ! cyclic( X, Y, Z, T ),
% 3.86/4.24 cyclic( X, Z, T, Y ) }.
% 3.86/4.24 parent0: (24012) {G1,W10,D2,L2,V4,M2} { cyclic( X, Y, T, Z ), ! cyclic( X
% 3.86/4.24 , Z, Y, T ) }.
% 3.86/4.24 substitution0:
% 3.86/4.24 X := X
% 3.86/4.24 Y := Z
% 3.86/4.24 Z := Y
% 3.86/4.24 T := T
% 3.86/4.24 end
% 3.86/4.24 permutation0:
% 3.86/4.24 0 ==> 1
% 3.86/4.24 1 ==> 0
% 3.86/4.24 end
% 3.86/4.24
% 3.86/4.24 resolution: (24014) {G1,W10,D2,L2,V4,M2} { cyclic( X, Z, Y, T ), ! cyclic
% 3.86/4.24 ( Y, X, Z, T ) }.
% 3.86/4.24 parent0[0]: (14) {G0,W10,D2,L2,V4,M2} I { ! cyclic( X, Y, Z, T ), cyclic( X
% 3.86/4.24 , Z, Y, T ) }.
% 3.86/4.24 parent1[1]: (15) {G0,W10,D2,L2,V4,M2} I { ! cyclic( X, Y, Z, T ), cyclic( Y
% 3.86/4.24 , X, Z, T ) }.
% 3.86/4.24 substitution0:
% 3.86/4.24 X := X
% 3.86/4.24 Y := Y
% 3.86/4.24 Z := Z
% 3.86/4.24 T := T
% 3.86/4.24 end
% 3.86/4.24 substitution1:
% 3.86/4.24 X := Y
% 3.86/4.24 Y := X
% 3.86/4.24 Z := Z
% 3.86/4.24 T := T
% 3.86/4.24 end
% 3.86/4.24
% 3.86/4.24 subsumption: (420) {G1,W10,D2,L2,V4,M2} R(15,14) { ! cyclic( X, Y, Z, T ),
% 3.86/4.24 cyclic( Y, Z, X, T ) }.
% 3.86/4.24 parent0: (24014) {G1,W10,D2,L2,V4,M2} { cyclic( X, Z, Y, T ), ! cyclic( Y
% 3.86/4.24 , X, Z, T ) }.
% 3.86/4.24 substitution0:
% 3.86/4.24 X := Y
% 3.86/4.24 Y := X
% 3.86/4.24 Z := Z
% 3.86/4.24 T := T
% 3.86/4.24 end
% 3.86/4.24 permutation0:
% 3.86/4.24 0 ==> 1
% 3.86/4.24 1 ==> 0
% 3.86/4.24 end
% 3.86/4.24
% 3.86/4.24 resolution: (24016) {G1,W15,D2,L3,V5,M3} { ! cyclic( X, Y, Z, T ), cyclic
% 3.86/4.24 ( Y, Z, T, U ), ! cyclic( X, Y, U, Z ) }.
% 3.86/4.24 parent0[1]: (16) {G0,W15,D2,L3,V5,M3} I { ! cyclic( U, X, Y, Z ), ! cyclic
% 3.86/4.24 ( U, X, Y, T ), cyclic( X, Y, Z, T ) }.
% 3.86/4.24 parent1[1]: (13) {G0,W10,D2,L2,V4,M2} I { ! cyclic( X, Y, Z, T ), cyclic( X
% 3.86/4.24 , Y, T, Z ) }.
% 3.86/4.24 substitution0:
% 3.86/4.24 X := Y
% 3.86/4.24 Y := Z
% 3.86/4.24 Z := T
% 3.86/4.24 T := U
% 3.86/4.24 U := X
% 3.86/4.24 end
% 3.86/4.24 substitution1:
% 3.86/4.24 X := X
% 3.86/4.24 Y := Y
% 3.86/4.24 Z := U
% 3.86/4.24 T := Z
% 3.86/4.24 end
% 3.86/4.24
% 3.86/4.24 subsumption: (443) {G1,W15,D2,L3,V5,M3} R(16,13) { ! cyclic( X, Y, Z, T ),
% 3.86/4.24 cyclic( Y, Z, T, U ), ! cyclic( X, Y, U, Z ) }.
% 3.86/4.24 parent0: (24016) {G1,W15,D2,L3,V5,M3} { ! cyclic( X, Y, Z, T ), cyclic( Y
% 3.86/4.24 , Z, T, U ), ! cyclic( X, Y, U, Z ) }.
% 3.86/4.24 substitution0:
% 3.86/4.24 X := X
% 3.86/4.24 Y := Y
% 3.86/4.24 Z := Z
% 3.86/4.24 T := T
% 3.86/4.24 U := U
% 3.86/4.24 end
% 3.86/4.24 permutation0:
% 3.86/4.24 0 ==> 0
% 3.86/4.24 1 ==> 1
% 3.86/4.24 2 ==> 2
% 3.86/4.24 end
% 3.86/4.24
% 3.86/4.24 resolution: (24018) {G1,W4,D2,L1,V0,M1} { coll( skol26, skol26, skol25 )
% 3.86/4.24 }.
% 3.86/4.24 parent0[0]: (0) {G0,W8,D2,L2,V3,M2} I { ! coll( X, Y, Z ), coll( X, Z, Y )
% 3.86/4.24 }.
% 3.86/4.24 parent1[0]: (378) {G3,W4,D2,L1,V0,M1} R(218,180) { coll( skol26, skol25,
% 3.86/4.24 skol26 ) }.
% 3.86/4.24 substitution0:
% 3.86/4.24 X := skol26
% 3.86/4.24 Y := skol25
% 3.86/4.24 Z := skol26
% 3.86/4.24 end
% 3.86/4.24 substitution1:
% 3.86/4.24 end
% 3.86/4.24
% 3.86/4.24 subsumption: (471) {G4,W4,D2,L1,V0,M1} R(378,0) { coll( skol26, skol26,
% 3.86/4.24 skol25 ) }.
% 3.86/4.24 parent0: (24018) {G1,W4,D2,L1,V0,M1} { coll( skol26, skol26, skol25 ) }.
% 3.86/4.24 substitution0:
% 3.86/4.24 end
% 3.86/4.24 permutation0:
% 3.86/4.24 0 ==> 0
% 3.86/4.24 end
% 3.86/4.24
% 3.86/4.24 resolution: (24020) {G1,W8,D2,L2,V3,M2} { coll( Y, X, X ), ! coll( X, Z, Y
% 3.86/4.24 ) }.
% 3.86/4.24 parent0[0]: (1) {G0,W8,D2,L2,V3,M2} I { ! coll( X, Y, Z ), coll( Y, X, Z )
% 3.86/4.24 }.
% 3.86/4.24 parent1[0]: (406) {G4,W8,D2,L2,V3,M2} F(389) { coll( X, Y, X ), ! coll( X,
% 3.86/4.24 Z, Y ) }.
% 3.86/4.24 substitution0:
% 3.86/4.24 X := X
% 3.86/4.24 Y := Y
% 3.86/4.24 Z := X
% 3.86/4.24 end
% 3.86/4.24 substitution1:
% 3.86/4.24 X := X
% 3.86/4.24 Y := Y
% 3.86/4.24 Z := Z
% 3.86/4.24 end
% 3.86/4.24
% 3.86/4.24 subsumption: (727) {G5,W8,D2,L2,V3,M2} R(406,1) { ! coll( X, Y, Z ), coll(
% 3.86/4.24 Z, X, X ) }.
% 3.86/4.24 parent0: (24020) {G1,W8,D2,L2,V3,M2} { coll( Y, X, X ), ! coll( X, Z, Y )
% 3.86/4.24 }.
% 3.86/4.24 substitution0:
% 3.86/4.24 X := X
% 3.86/4.24 Y := Z
% 3.86/4.24 Z := Y
% 3.86/4.24 end
% 3.86/4.24 permutation0:
% 3.86/4.24 0 ==> 1
% 3.86/4.24 1 ==> 0
% 3.86/4.24 end
% 3.86/4.24
% 3.86/4.24 resolution: (24021) {G1,W8,D2,L2,V3,M2} { coll( Z, X, X ), ! coll( Y, X, Z
% 3.86/4.24 ) }.
% 3.86/4.24 parent0[0]: (727) {G5,W8,D2,L2,V3,M2} R(406,1) { ! coll( X, Y, Z ), coll( Z
% 3.86/4.24 , X, X ) }.
% 3.86/4.24 parent1[1]: (1) {G0,W8,D2,L2,V3,M2} I { ! coll( X, Y, Z ), coll( Y, X, Z )
% 3.86/4.24 }.
% 3.86/4.24 substitution0:
% 3.86/4.24 X := X
% 3.86/4.24 Y := Y
% 3.86/4.24 Z := Z
% 3.86/4.24 end
% 3.86/4.24 substitution1:
% 3.86/4.24 X := Y
% 3.86/4.24 Y := X
% 3.86/4.24 Z := Z
% 3.86/4.24 end
% 3.86/4.24
% 3.86/4.24 subsumption: (741) {G6,W8,D2,L2,V3,M2} R(727,1) { coll( X, Y, Y ), ! coll(
% 3.86/4.24 Z, Y, X ) }.
% 3.86/4.24 parent0: (24021) {G1,W8,D2,L2,V3,M2} { coll( Z, X, X ), ! coll( Y, X, Z )
% 3.86/4.24 }.
% 3.86/4.24 substitution0:
% 3.86/4.24 X := Y
% 3.86/4.24 Y := Z
% 3.86/4.24 Z := X
% 3.86/4.24 end
% 3.86/4.24 permutation0:
% 3.86/4.24 0 ==> 0
% 3.86/4.24 1 ==> 1
% 3.86/4.24 end
% 3.86/4.24
% 3.86/4.24 resolution: (24022) {G1,W8,D2,L2,V3,M2} { coll( Z, X, X ), ! coll( X, Z, Y
% 3.86/4.24 ) }.
% 3.86/4.24 parent0[0]: (727) {G5,W8,D2,L2,V3,M2} R(406,1) { ! coll( X, Y, Z ), coll( Z
% 3.86/4.24 , X, X ) }.
% 3.86/4.24 parent1[1]: (0) {G0,W8,D2,L2,V3,M2} I { ! coll( X, Y, Z ), coll( X, Z, Y )
% 3.86/4.24 }.
% 3.86/4.24 substitution0:
% 3.86/4.24 X := X
% 3.86/4.24 Y := Y
% 3.86/4.24 Z := Z
% 3.86/4.24 end
% 3.86/4.24 substitution1:
% 3.86/4.24 X := X
% 3.86/4.24 Y := Z
% 3.86/4.24 Z := Y
% 3.86/4.24 end
% 3.86/4.24
% 3.86/4.24 subsumption: (742) {G6,W8,D2,L2,V3,M2} R(727,0) { coll( X, Y, Y ), ! coll(
% 3.86/4.24 Y, X, Z ) }.
% 3.86/4.24 parent0: (24022) {G1,W8,D2,L2,V3,M2} { coll( Z, X, X ), ! coll( X, Z, Y )
% 3.86/4.24 }.
% 3.86/4.24 substitution0:
% 3.86/4.24 X := Y
% 3.86/4.24 Y := Z
% 3.86/4.24 Z := X
% 3.86/4.24 end
% 3.86/4.24 permutation0:
% 3.86/4.24 0 ==> 0
% 3.86/4.24 1 ==> 1
% 3.86/4.24 end
% 3.86/4.24
% 3.86/4.24 resolution: (24023) {G7,W8,D2,L2,V3,M2} { coll( X, Y, Y ), ! coll( X, Y, Z
% 3.86/4.24 ) }.
% 3.86/4.24 parent0[1]: (742) {G6,W8,D2,L2,V3,M2} R(727,0) { coll( X, Y, Y ), ! coll( Y
% 3.86/4.24 , X, Z ) }.
% 3.86/4.24 parent1[0]: (742) {G6,W8,D2,L2,V3,M2} R(727,0) { coll( X, Y, Y ), ! coll( Y
% 3.86/4.24 , X, Z ) }.
% 3.86/4.24 substitution0:
% 3.86/4.24 X := X
% 3.86/4.24 Y := Y
% 3.86/4.24 Z := X
% 3.86/4.24 end
% 3.86/4.24 substitution1:
% 3.86/4.24 X := Y
% 3.86/4.24 Y := X
% 3.86/4.24 Z := Z
% 3.86/4.24 end
% 3.86/4.24
% 3.86/4.24 subsumption: (746) {G7,W8,D2,L2,V3,M2} R(742,742) { ! coll( X, Y, Z ), coll
% 3.86/4.24 ( X, Y, Y ) }.
% 3.86/4.24 parent0: (24023) {G7,W8,D2,L2,V3,M2} { coll( X, Y, Y ), ! coll( X, Y, Z )
% 3.86/4.24 }.
% 3.86/4.24 substitution0:
% 3.86/4.24 X := X
% 3.86/4.24 Y := Y
% 3.86/4.24 Z := Z
% 3.86/4.24 end
% 3.86/4.24 permutation0:
% 3.86/4.24 0 ==> 1
% 3.86/4.24 1 ==> 0
% 3.86/4.24 end
% 3.86/4.24
% 3.86/4.24 resolution: (24027) {G1,W12,D2,L3,V4,M3} { ! coll( X, Y, Z ), coll( Z, Y,
% 3.86/4.24 X ), ! coll( X, Y, T ) }.
% 3.86/4.24 parent0[1]: (2) {G0,W12,D2,L3,V4,M3} I { ! coll( X, T, Y ), ! coll( X, T, Z
% 3.86/4.24 ), coll( Y, Z, X ) }.
% 3.86/4.24 parent1[1]: (746) {G7,W8,D2,L2,V3,M2} R(742,742) { ! coll( X, Y, Z ), coll
% 3.86/4.24 ( X, Y, Y ) }.
% 3.86/4.24 substitution0:
% 3.86/4.24 X := X
% 3.86/4.24 Y := Z
% 3.86/4.24 Z := Y
% 3.86/4.24 T := Y
% 3.86/4.24 end
% 3.86/4.24 substitution1:
% 3.86/4.24 X := X
% 3.86/4.24 Y := Y
% 3.86/4.24 Z := T
% 3.86/4.24 end
% 3.86/4.24
% 3.86/4.24 subsumption: (760) {G8,W12,D2,L3,V4,M3} R(746,2) { ! coll( X, Y, Z ), !
% 3.86/4.24 coll( X, Y, T ), coll( T, Y, X ) }.
% 3.86/4.24 parent0: (24027) {G1,W12,D2,L3,V4,M3} { ! coll( X, Y, Z ), coll( Z, Y, X )
% 3.86/4.24 , ! coll( X, Y, T ) }.
% 3.86/4.24 substitution0:
% 3.86/4.24 X := X
% 3.86/4.24 Y := Y
% 3.86/4.24 Z := T
% 3.86/4.24 T := Z
% 3.86/4.24 end
% 3.86/4.24 permutation0:
% 3.86/4.24 0 ==> 1
% 3.86/4.24 1 ==> 2
% 3.86/4.24 2 ==> 0
% 3.86/4.24 end
% 3.86/4.24
% 3.86/4.24 factor: (24030) {G8,W8,D2,L2,V3,M2} { ! coll( X, Y, Z ), coll( Z, Y, X )
% 3.86/4.24 }.
% 3.86/4.24 parent0[0, 1]: (760) {G8,W12,D2,L3,V4,M3} R(746,2) { ! coll( X, Y, Z ), !
% 3.86/4.24 coll( X, Y, T ), coll( T, Y, X ) }.
% 3.86/4.24 substitution0:
% 3.86/4.24 X := X
% 3.86/4.24 Y := Y
% 3.86/4.24 Z := Z
% 3.86/4.24 T := Z
% 3.86/4.24 end
% 3.86/4.24
% 3.86/4.24 subsumption: (761) {G9,W8,D2,L2,V3,M2} F(760) { ! coll( X, Y, Z ), coll( Z
% 3.86/4.24 , Y, X ) }.
% 3.86/4.24 parent0: (24030) {G8,W8,D2,L2,V3,M2} { ! coll( X, Y, Z ), coll( Z, Y, X )
% 3.86/4.24 }.
% 3.86/4.24 substitution0:
% 3.86/4.24 X := X
% 3.86/4.24 Y := Y
% 3.86/4.24 Z := Z
% 3.86/4.24 end
% 3.86/4.24 permutation0:
% 3.86/4.24 0 ==> 0
% 3.86/4.24 1 ==> 1
% 3.86/4.24 end
% 3.86/4.24
% 3.86/4.24 resolution: (24031) {G7,W8,D2,L2,V3,M2} { coll( Y, Y, X ), ! coll( Z, Y, X
% 3.86/4.24 ) }.
% 3.86/4.24 parent0[0]: (761) {G9,W8,D2,L2,V3,M2} F(760) { ! coll( X, Y, Z ), coll( Z,
% 3.86/4.24 Y, X ) }.
% 3.86/4.24 parent1[0]: (741) {G6,W8,D2,L2,V3,M2} R(727,1) { coll( X, Y, Y ), ! coll( Z
% 3.86/4.24 , Y, X ) }.
% 3.86/4.24 substitution0:
% 3.86/4.24 X := X
% 3.86/4.24 Y := Y
% 3.86/4.24 Z := Y
% 3.86/4.24 end
% 3.86/4.24 substitution1:
% 3.86/4.24 X := X
% 3.86/4.24 Y := Y
% 3.86/4.24 Z := Z
% 3.86/4.24 end
% 3.86/4.24
% 3.86/4.24 subsumption: (765) {G10,W8,D2,L2,V3,M2} R(761,741) { coll( X, X, Y ), !
% 3.86/4.24 coll( Z, X, Y ) }.
% 3.86/4.24 parent0: (24031) {G7,W8,D2,L2,V3,M2} { coll( Y, Y, X ), ! coll( Z, Y, X )
% 3.86/4.24 }.
% 3.86/4.24 substitution0:
% 3.86/4.24 X := Y
% 3.86/4.24 Y := X
% 3.86/4.24 Z := Z
% 3.86/4.24 end
% 3.86/4.24 permutation0:
% 3.86/4.24 0 ==> 0
% 3.86/4.24 1 ==> 1
% 3.86/4.24 end
% 3.86/4.24
% 3.86/4.24 resolution: (24032) {G1,W14,D2,L3,V3,M3} { ! coll( X, X, Z ), cyclic( Y, Z
% 3.86/4.24 , X, X ), ! para( X, Y, X, Y ) }.
% 3.86/4.24 parent0[0]: (42) {G0,W18,D2,L3,V4,M3} I { ! eqangle( Z, X, Z, Y, T, X, T, Y
% 3.86/4.24 ), ! coll( Z, T, Y ), cyclic( X, Y, Z, T ) }.
% 3.86/4.24 parent1[1]: (39) {G0,W14,D2,L2,V6,M2} I { ! para( X, Y, Z, T ), eqangle( X
% 3.86/4.24 , Y, U, W, Z, T, U, W ) }.
% 3.86/4.24 substitution0:
% 3.86/4.24 X := Y
% 3.86/4.24 Y := Z
% 3.86/4.24 Z := X
% 3.86/4.24 T := X
% 3.86/4.24 end
% 3.86/4.24 substitution1:
% 3.86/4.24 X := X
% 3.86/4.24 Y := Y
% 3.86/4.24 Z := X
% 3.86/4.24 T := Y
% 3.86/4.24 U := X
% 3.86/4.24 W := Z
% 3.86/4.24 end
% 3.86/4.24
% 3.86/4.24 subsumption: (808) {G1,W14,D2,L3,V3,M3} R(42,39) { ! coll( X, X, Y ),
% 3.86/4.24 cyclic( Z, Y, X, X ), ! para( X, Z, X, Z ) }.
% 3.86/4.24 parent0: (24032) {G1,W14,D2,L3,V3,M3} { ! coll( X, X, Z ), cyclic( Y, Z, X
% 3.86/4.24 , X ), ! para( X, Y, X, Y ) }.
% 3.86/4.24 substitution0:
% 3.86/4.24 X := X
% 3.86/4.24 Y := Z
% 3.86/4.24 Z := Y
% 3.86/4.24 end
% 3.86/4.24 permutation0:
% 3.86/4.24 0 ==> 0
% 3.86/4.24 1 ==> 1
% 3.86/4.24 2 ==> 2
% 3.86/4.24 end
% 3.86/4.24
% 3.86/4.24 resolution: (24033) {G1,W8,D2,L2,V3,M2} { coll( X, Y, Z ), ! midp( Y, Z, X
% 3.86/4.24 ) }.
% 3.86/4.24 parent0[1]: (175) {G1,W8,D2,L2,V3,M2} R(1,0) { coll( X, Y, Z ), ! coll( Y,
% 3.86/4.24 Z, X ) }.
% 3.86/4.24 parent1[1]: (69) {G0,W8,D2,L2,V3,M2} I { ! midp( X, Y, Z ), coll( X, Y, Z )
% 3.86/4.24 }.
% 3.86/4.24 substitution0:
% 3.86/4.24 X := X
% 3.86/4.24 Y := Y
% 3.86/4.24 Z := Z
% 3.86/4.24 end
% 3.86/4.24 substitution1:
% 3.86/4.24 X := Y
% 3.86/4.24 Y := Z
% 3.86/4.24 Z := X
% 3.86/4.24 end
% 3.86/4.24
% 3.86/4.24 subsumption: (951) {G2,W8,D2,L2,V3,M2} R(69,175) { ! midp( X, Y, Z ), coll
% 3.86/4.24 ( Z, X, Y ) }.
% 3.86/4.24 parent0: (24033) {G1,W8,D2,L2,V3,M2} { coll( X, Y, Z ), ! midp( Y, Z, X )
% 3.86/4.24 }.
% 3.86/4.24 substitution0:
% 3.86/4.24 X := Z
% 3.86/4.24 Y := X
% 3.86/4.24 Z := Y
% 3.86/4.24 end
% 3.86/4.24 permutation0:
% 3.86/4.24 0 ==> 1
% 3.86/4.24 1 ==> 0
% 3.86/4.24 end
% 3.86/4.24
% 3.86/4.24 resolution: (24034) {G1,W8,D2,L2,V3,M2} { coll( X, X, Y ), ! midp( Z, X, Y
% 3.86/4.24 ) }.
% 3.86/4.24 parent0[1]: (765) {G10,W8,D2,L2,V3,M2} R(761,741) { coll( X, X, Y ), ! coll
% 3.86/4.24 ( Z, X, Y ) }.
% 3.86/4.24 parent1[1]: (69) {G0,W8,D2,L2,V3,M2} I { ! midp( X, Y, Z ), coll( X, Y, Z )
% 3.86/4.24 }.
% 3.86/4.24 substitution0:
% 3.86/4.24 X := X
% 3.86/4.24 Y := Y
% 3.86/4.24 Z := Z
% 3.86/4.24 end
% 3.86/4.24 substitution1:
% 3.86/4.24 X := Z
% 3.86/4.24 Y := X
% 3.86/4.24 Z := Y
% 3.86/4.24 end
% 3.86/4.24
% 3.86/4.24 subsumption: (959) {G11,W8,D2,L2,V3,M2} R(69,765) { ! midp( X, Y, Z ), coll
% 3.86/4.24 ( Y, Y, Z ) }.
% 3.86/4.24 parent0: (24034) {G1,W8,D2,L2,V3,M2} { coll( X, X, Y ), ! midp( Z, X, Y )
% 3.86/4.24 }.
% 3.86/4.24 substitution0:
% 3.86/4.24 X := Y
% 3.86/4.24 Y := Z
% 3.86/4.24 Z := X
% 3.86/4.24 end
% 3.86/4.24 permutation0:
% 3.86/4.24 0 ==> 1
% 3.86/4.24 1 ==> 0
% 3.86/4.24 end
% 3.86/4.24
% 3.86/4.24 resolution: (24035) {G1,W4,D2,L1,V0,M1} { coll( skol28, skol26, skol25 )
% 3.86/4.24 }.
% 3.86/4.24 parent0[0]: (69) {G0,W8,D2,L2,V3,M2} I { ! midp( X, Y, Z ), coll( X, Y, Z )
% 3.86/4.24 }.
% 3.86/4.24 parent1[0]: (117) {G0,W4,D2,L1,V0,M1} I { midp( skol28, skol26, skol25 )
% 3.86/4.24 }.
% 3.86/4.24 substitution0:
% 3.86/4.24 X := skol28
% 3.86/4.24 Y := skol26
% 3.86/4.24 Z := skol25
% 3.86/4.24 end
% 3.86/4.24 substitution1:
% 3.86/4.24 end
% 3.86/4.24
% 3.86/4.24 subsumption: (976) {G1,W4,D2,L1,V0,M1} R(69,117) { coll( skol28, skol26,
% 3.86/4.24 skol25 ) }.
% 3.86/4.24 parent0: (24035) {G1,W4,D2,L1,V0,M1} { coll( skol28, skol26, skol25 ) }.
% 3.86/4.24 substitution0:
% 3.86/4.24 end
% 3.86/4.24 permutation0:
% 3.86/4.24 0 ==> 0
% 3.86/4.24 end
% 3.86/4.24
% 3.86/4.24 resolution: (24036) {G1,W25,D2,L5,V4,M5} { ! cyclic( X, Y, Z, X ), !
% 3.86/4.24 cyclic( X, Y, Z, Y ), ! cyclic( X, Y, Z, T ), cong( X, Y, X, Y ), !
% 3.86/4.24 cyclic( X, Y, Z, T ) }.
% 3.86/4.24 parent0[3]: (43) {G0,W29,D2,L5,V6,M5} I { ! cyclic( X, Y, U, Z ), ! cyclic
% 3.86/4.24 ( X, Y, U, T ), ! cyclic( X, Y, U, W ), ! eqangle( U, X, U, Y, W, Z, W, T
% 3.86/4.24 ), cong( X, Y, Z, T ) }.
% 3.86/4.24 parent1[1]: (40) {G0,W14,D2,L2,V4,M2} I { ! cyclic( X, Y, Z, T ), eqangle(
% 3.86/4.24 Z, X, Z, Y, T, X, T, Y ) }.
% 3.86/4.24 substitution0:
% 3.86/4.24 X := X
% 3.86/4.24 Y := Y
% 3.86/4.24 Z := X
% 3.86/4.24 T := Y
% 3.86/4.24 U := Z
% 3.86/4.24 W := T
% 3.86/4.24 end
% 3.86/4.24 substitution1:
% 3.86/4.24 X := X
% 3.86/4.24 Y := Y
% 3.86/4.24 Z := Z
% 3.86/4.24 T := T
% 3.86/4.24 end
% 3.86/4.24
% 3.86/4.24 factor: (24038) {G1,W20,D2,L4,V3,M4} { ! cyclic( X, Y, Z, X ), ! cyclic( X
% 3.86/4.24 , Y, Z, Y ), cong( X, Y, X, Y ), ! cyclic( X, Y, Z, X ) }.
% 3.86/4.24 parent0[0, 2]: (24036) {G1,W25,D2,L5,V4,M5} { ! cyclic( X, Y, Z, X ), !
% 3.86/4.24 cyclic( X, Y, Z, Y ), ! cyclic( X, Y, Z, T ), cong( X, Y, X, Y ), !
% 3.86/4.24 cyclic( X, Y, Z, T ) }.
% 3.86/4.24 substitution0:
% 3.86/4.24 X := X
% 3.86/4.24 Y := Y
% 3.86/4.24 Z := Z
% 3.86/4.24 T := X
% 3.86/4.24 end
% 3.86/4.24
% 3.86/4.24 subsumption: (1004) {G1,W20,D2,L4,V4,M4} R(43,40);f { ! cyclic( X, Y, Z, X
% 3.86/4.24 ), ! cyclic( X, Y, Z, Y ), ! cyclic( X, Y, Z, T ), cong( X, Y, X, Y )
% 3.86/4.24 }.
% 3.86/4.24 parent0: (24038) {G1,W20,D2,L4,V3,M4} { ! cyclic( X, Y, Z, X ), ! cyclic(
% 3.86/4.24 X, Y, Z, Y ), cong( X, Y, X, Y ), ! cyclic( X, Y, Z, X ) }.
% 3.86/4.24 substitution0:
% 3.86/4.24 X := X
% 3.86/4.24 Y := Y
% 3.86/4.24 Z := Z
% 3.86/4.24 end
% 3.86/4.24 permutation0:
% 3.86/4.24 0 ==> 0
% 3.86/4.24 1 ==> 1
% 3.86/4.24 2 ==> 3
% 3.86/4.24 3 ==> 0
% 3.86/4.24 end
% 3.86/4.24
% 3.86/4.24 factor: (24043) {G1,W15,D2,L3,V3,M3} { ! cyclic( X, Y, Z, X ), ! cyclic( X
% 3.86/4.24 , Y, Z, Y ), cong( X, Y, X, Y ) }.
% 3.86/4.24 parent0[0, 2]: (1004) {G1,W20,D2,L4,V4,M4} R(43,40);f { ! cyclic( X, Y, Z,
% 3.86/4.24 X ), ! cyclic( X, Y, Z, Y ), ! cyclic( X, Y, Z, T ), cong( X, Y, X, Y )
% 3.86/4.24 }.
% 3.86/4.24 substitution0:
% 3.86/4.24 X := X
% 3.86/4.24 Y := Y
% 3.86/4.24 Z := Z
% 3.86/4.24 T := X
% 3.86/4.24 end
% 3.86/4.24
% 3.86/4.24 subsumption: (1036) {G2,W15,D2,L3,V3,M3} F(1004) { ! cyclic( X, Y, Z, X ),
% 3.86/4.24 ! cyclic( X, Y, Z, Y ), cong( X, Y, X, Y ) }.
% 3.86/4.24 parent0: (24043) {G1,W15,D2,L3,V3,M3} { ! cyclic( X, Y, Z, X ), ! cyclic(
% 3.86/4.24 X, Y, Z, Y ), cong( X, Y, X, Y ) }.
% 3.86/4.24 substitution0:
% 3.86/4.24 X := X
% 3.86/4.24 Y := Y
% 3.86/4.24 Z := Z
% 3.86/4.24 end
% 3.86/4.24 permutation0:
% 3.86/4.24 0 ==> 0
% 3.86/4.24 1 ==> 1
% 3.86/4.24 2 ==> 2
% 3.86/4.24 end
% 3.86/4.24
% 3.86/4.24 resolution: (24045) {G1,W8,D2,L2,V1,M2} { ! coll( skol28, skol26, X ),
% 3.86/4.24 coll( skol25, X, skol28 ) }.
% 3.86/4.24 parent0[0]: (2) {G0,W12,D2,L3,V4,M3} I { ! coll( X, T, Y ), ! coll( X, T, Z
% 3.86/4.24 ), coll( Y, Z, X ) }.
% 3.86/4.24 parent1[0]: (976) {G1,W4,D2,L1,V0,M1} R(69,117) { coll( skol28, skol26,
% 3.86/4.24 skol25 ) }.
% 3.86/4.24 substitution0:
% 3.86/4.24 X := skol28
% 3.86/4.24 Y := skol25
% 3.86/4.24 Z := X
% 3.86/4.24 T := skol26
% 3.86/4.24 end
% 3.86/4.24 substitution1:
% 3.86/4.24 end
% 3.86/4.24
% 3.86/4.24 subsumption: (1275) {G2,W8,D2,L2,V1,M2} R(976,2) { ! coll( skol28, skol26,
% 3.86/4.24 X ), coll( skol25, X, skol28 ) }.
% 3.86/4.24 parent0: (24045) {G1,W8,D2,L2,V1,M2} { ! coll( skol28, skol26, X ), coll(
% 3.86/4.24 skol25, X, skol28 ) }.
% 3.86/4.24 substitution0:
% 3.86/4.24 X := X
% 3.86/4.24 end
% 3.86/4.24 permutation0:
% 3.86/4.24 0 ==> 0
% 3.86/4.24 1 ==> 1
% 3.86/4.24 end
% 3.86/4.24
% 3.86/4.24 resolution: (24047) {G1,W9,D2,L2,V0,M2} { ! coll( skol27, skol20, skol29 )
% 3.86/4.24 , perp( skol20, skol22, skol22, skol29 ) }.
% 3.86/4.24 parent0[0]: (53) {G0,W14,D2,L3,V4,M3} I { ! circle( T, X, Y, Z ), ! coll( T
% 3.86/4.24 , X, Z ), perp( X, Y, Y, Z ) }.
% 3.86/4.24 parent1[0]: (118) {G0,W5,D2,L1,V0,M1} I { circle( skol27, skol20, skol22,
% 3.86/4.24 skol29 ) }.
% 3.86/4.24 substitution0:
% 3.86/4.24 X := skol20
% 3.86/4.24 Y := skol22
% 3.86/4.24 Z := skol29
% 3.86/4.24 T := skol27
% 3.86/4.24 end
% 3.86/4.24 substitution1:
% 3.86/4.24 end
% 3.86/4.24
% 3.86/4.24 subsumption: (1562) {G1,W9,D2,L2,V0,M2} R(53,118) { ! coll( skol27, skol20
% 3.86/4.24 , skol29 ), perp( skol20, skol22, skol22, skol29 ) }.
% 3.86/4.24 parent0: (24047) {G1,W9,D2,L2,V0,M2} { ! coll( skol27, skol20, skol29 ),
% 3.86/4.24 perp( skol20, skol22, skol22, skol29 ) }.
% 3.86/4.24 substitution0:
% 3.86/4.24 end
% 3.86/4.24 permutation0:
% 3.86/4.24 0 ==> 0
% 3.86/4.24 1 ==> 1
% 3.86/4.24 end
% 3.86/4.24
% 3.86/4.24 resolution: (24048) {G2,W8,D2,L2,V1,M2} { coll( skol25, X, skol28 ), !
% 3.86/4.24 coll( X, skol28, skol26 ) }.
% 3.86/4.24 parent0[0]: (1275) {G2,W8,D2,L2,V1,M2} R(976,2) { ! coll( skol28, skol26, X
% 3.86/4.24 ), coll( skol25, X, skol28 ) }.
% 3.86/4.24 parent1[1]: (176) {G1,W8,D2,L2,V3,M2} R(1,0) { ! coll( X, Y, Z ), coll( Y,
% 3.86/4.24 Z, X ) }.
% 3.86/4.24 substitution0:
% 3.86/4.24 X := X
% 3.86/4.24 end
% 3.86/4.24 substitution1:
% 3.86/4.24 X := X
% 3.86/4.24 Y := skol28
% 3.86/4.24 Z := skol26
% 3.86/4.24 end
% 3.86/4.24
% 3.86/4.24 subsumption: (1639) {G3,W8,D2,L2,V1,M2} R(1275,176) { coll( skol25, X,
% 3.86/4.24 skol28 ), ! coll( X, skol28, skol26 ) }.
% 3.86/4.24 parent0: (24048) {G2,W8,D2,L2,V1,M2} { coll( skol25, X, skol28 ), ! coll(
% 3.86/4.24 X, skol28, skol26 ) }.
% 3.86/4.24 substitution0:
% 3.86/4.24 X := X
% 3.86/4.24 end
% 3.86/4.24 permutation0:
% 3.86/4.24 0 ==> 0
% 3.86/4.24 1 ==> 1
% 3.86/4.24 end
% 3.86/4.24
% 3.86/4.24 resolution: (24050) {G2,W8,D2,L2,V1,M2} { coll( X, skol28, skol25 ), !
% 3.86/4.24 coll( X, skol28, skol26 ) }.
% 3.86/4.24 parent0[0]: (176) {G1,W8,D2,L2,V3,M2} R(1,0) { ! coll( X, Y, Z ), coll( Y,
% 3.86/4.24 Z, X ) }.
% 3.86/4.24 parent1[0]: (1639) {G3,W8,D2,L2,V1,M2} R(1275,176) { coll( skol25, X,
% 3.86/4.24 skol28 ), ! coll( X, skol28, skol26 ) }.
% 3.86/4.24 substitution0:
% 3.86/4.24 X := skol25
% 3.86/4.24 Y := X
% 3.86/4.24 Z := skol28
% 3.86/4.24 end
% 3.86/4.24 substitution1:
% 3.86/4.24 X := X
% 3.86/4.24 end
% 3.86/4.24
% 3.86/4.24 subsumption: (2871) {G4,W8,D2,L2,V1,M2} R(1639,176) { ! coll( X, skol28,
% 3.86/4.24 skol26 ), coll( X, skol28, skol25 ) }.
% 3.86/4.24 parent0: (24050) {G2,W8,D2,L2,V1,M2} { coll( X, skol28, skol25 ), ! coll(
% 3.86/4.24 X, skol28, skol26 ) }.
% 3.86/4.24 substitution0:
% 3.86/4.24 X := X
% 3.86/4.24 end
% 3.86/4.24 permutation0:
% 3.86/4.24 0 ==> 1
% 3.86/4.24 1 ==> 0
% 3.86/4.24 end
% 3.86/4.24
% 3.86/4.24 resolution: (24053) {G1,W12,D2,L3,V2,M3} { ! coll( X, skol28, Y ), coll(
% 3.86/4.24 skol25, Y, X ), ! coll( X, skol28, skol26 ) }.
% 3.86/4.24 parent0[0]: (2) {G0,W12,D2,L3,V4,M3} I { ! coll( X, T, Y ), ! coll( X, T, Z
% 3.86/4.24 ), coll( Y, Z, X ) }.
% 3.86/4.24 parent1[1]: (2871) {G4,W8,D2,L2,V1,M2} R(1639,176) { ! coll( X, skol28,
% 3.86/4.24 skol26 ), coll( X, skol28, skol25 ) }.
% 3.86/4.24 substitution0:
% 3.86/4.24 X := X
% 3.86/4.24 Y := skol25
% 3.86/4.24 Z := Y
% 3.86/4.24 T := skol28
% 3.86/4.24 end
% 3.86/4.24 substitution1:
% 3.86/4.24 X := X
% 3.86/4.24 end
% 3.86/4.24
% 3.86/4.24 subsumption: (2891) {G5,W12,D2,L3,V2,M3} R(2871,2) { ! coll( X, skol28,
% 3.86/4.24 skol26 ), ! coll( X, skol28, Y ), coll( skol25, Y, X ) }.
% 3.86/4.24 parent0: (24053) {G1,W12,D2,L3,V2,M3} { ! coll( X, skol28, Y ), coll(
% 3.86/4.24 skol25, Y, X ), ! coll( X, skol28, skol26 ) }.
% 3.86/4.24 substitution0:
% 3.86/4.24 X := X
% 3.86/4.24 Y := Y
% 3.86/4.24 end
% 3.86/4.24 permutation0:
% 3.86/4.24 0 ==> 1
% 3.86/4.24 1 ==> 2
% 3.86/4.24 2 ==> 0
% 3.86/4.24 end
% 3.86/4.24
% 3.86/4.24 factor: (24057) {G5,W8,D2,L2,V1,M2} { ! coll( X, skol28, skol26 ), coll(
% 3.86/4.24 skol25, skol26, X ) }.
% 3.86/4.24 parent0[0, 1]: (2891) {G5,W12,D2,L3,V2,M3} R(2871,2) { ! coll( X, skol28,
% 3.86/4.24 skol26 ), ! coll( X, skol28, Y ), coll( skol25, Y, X ) }.
% 3.86/4.24 substitution0:
% 3.86/4.24 X := X
% 3.86/4.24 Y := skol26
% 3.86/4.24 end
% 3.86/4.24
% 3.86/4.24 subsumption: (2896) {G6,W8,D2,L2,V1,M2} F(2891) { ! coll( X, skol28, skol26
% 3.86/4.24 ), coll( skol25, skol26, X ) }.
% 3.86/4.24 parent0: (24057) {G5,W8,D2,L2,V1,M2} { ! coll( X, skol28, skol26 ), coll(
% 3.86/4.24 skol25, skol26, X ) }.
% 3.86/4.24 substitution0:
% 3.86/4.24 X := X
% 3.86/4.24 end
% 3.86/4.24 permutation0:
% 3.86/4.24 0 ==> 0
% 3.86/4.24 1 ==> 1
% 3.86/4.24 end
% 3.86/4.24
% 3.86/4.24 resolution: (24058) {G3,W8,D2,L2,V1,M2} { coll( skol25, skol26, X ), !
% 3.86/4.24 midp( skol28, skol26, X ) }.
% 3.86/4.24 parent0[0]: (2896) {G6,W8,D2,L2,V1,M2} F(2891) { ! coll( X, skol28, skol26
% 3.86/4.24 ), coll( skol25, skol26, X ) }.
% 3.86/4.24 parent1[1]: (951) {G2,W8,D2,L2,V3,M2} R(69,175) { ! midp( X, Y, Z ), coll(
% 3.86/4.24 Z, X, Y ) }.
% 3.86/4.24 substitution0:
% 3.86/4.24 X := X
% 3.86/4.24 end
% 3.86/4.24 substitution1:
% 3.86/4.24 X := skol28
% 3.86/4.24 Y := skol26
% 3.86/4.24 Z := X
% 3.86/4.24 end
% 3.86/4.24
% 3.86/4.24 subsumption: (3556) {G7,W8,D2,L2,V1,M2} R(2896,951) { coll( skol25, skol26
% 3.86/4.24 , X ), ! midp( skol28, skol26, X ) }.
% 3.86/4.24 parent0: (24058) {G3,W8,D2,L2,V1,M2} { coll( skol25, skol26, X ), ! midp(
% 3.86/4.24 skol28, skol26, X ) }.
% 3.86/4.24 substitution0:
% 3.86/4.24 X := X
% 3.86/4.24 end
% 3.86/4.24 permutation0:
% 3.86/4.24 0 ==> 0
% 3.86/4.24 1 ==> 1
% 3.86/4.24 end
% 3.86/4.24
% 3.86/4.24 resolution: (24059) {G1,W7,D3,L1,V0,M1} { perp( skol12( skol20, skol27 ),
% 3.86/4.24 skol20, skol20, skol27 ) }.
% 3.86/4.24 parent0[0]: (100) {G0,W12,D3,L2,V4,M2} I { ! circle( Y, X, Z, T ), perp(
% 3.86/4.24 skol12( X, Y ), X, X, Y ) }.
% 3.86/4.24 parent1[0]: (116) {G0,W5,D2,L1,V0,M1} I { circle( skol27, skol20, skol25,
% 3.86/4.24 skol26 ) }.
% 3.86/4.24 substitution0:
% 3.86/4.24 X := skol20
% 3.86/4.24 Y := skol27
% 3.86/4.24 Z := skol25
% 3.86/4.24 T := skol26
% 3.86/4.24 end
% 3.86/4.24 substitution1:
% 3.86/4.24 end
% 3.86/4.24
% 3.86/4.24 subsumption: (4914) {G1,W7,D3,L1,V0,M1} R(100,116) { perp( skol12( skol20,
% 3.86/4.24 skol27 ), skol20, skol20, skol27 ) }.
% 3.86/4.24 parent0: (24059) {G1,W7,D3,L1,V0,M1} { perp( skol12( skol20, skol27 ),
% 3.86/4.24 skol20, skol20, skol27 ) }.
% 3.86/4.24 substitution0:
% 3.86/4.24 end
% 3.86/4.24 permutation0:
% 3.86/4.24 0 ==> 0
% 3.86/4.24 end
% 3.86/4.24
% 3.86/4.24 resolution: (24060) {G1,W7,D3,L1,V0,M1} { perp( skol20, skol27, skol12(
% 3.86/4.24 skol20, skol27 ), skol20 ) }.
% 3.86/4.24 parent0[0]: (7) {G0,W10,D2,L2,V4,M2} I { ! perp( X, Y, Z, T ), perp( Z, T,
% 3.86/4.24 X, Y ) }.
% 3.86/4.24 parent1[0]: (4914) {G1,W7,D3,L1,V0,M1} R(100,116) { perp( skol12( skol20,
% 3.86/4.24 skol27 ), skol20, skol20, skol27 ) }.
% 3.86/4.24 substitution0:
% 3.86/4.24 X := skol12( skol20, skol27 )
% 3.86/4.24 Y := skol20
% 3.86/4.24 Z := skol20
% 3.86/4.24 T := skol27
% 3.86/4.24 end
% 3.86/4.24 substitution1:
% 3.86/4.24 end
% 3.86/4.24
% 3.86/4.24 subsumption: (6850) {G2,W7,D3,L1,V0,M1} R(4914,7) { perp( skol20, skol27,
% 3.86/4.24 skol12( skol20, skol27 ), skol20 ) }.
% 3.86/4.24 parent0: (24060) {G1,W7,D3,L1,V0,M1} { perp( skol20, skol27, skol12(
% 3.86/4.24 skol20, skol27 ), skol20 ) }.
% 3.86/4.24 substitution0:
% 3.86/4.24 end
% 3.86/4.24 permutation0:
% 3.86/4.24 0 ==> 0
% 3.86/4.24 end
% 3.86/4.24
% 3.86/4.24 resolution: (24061) {G1,W7,D3,L1,V0,M1} { perp( skol20, skol27, skol20,
% 3.86/4.24 skol12( skol20, skol27 ) ) }.
% 3.86/4.24 parent0[0]: (6) {G0,W10,D2,L2,V4,M2} I { ! perp( X, Y, Z, T ), perp( X, Y,
% 3.86/4.24 T, Z ) }.
% 3.86/4.24 parent1[0]: (6850) {G2,W7,D3,L1,V0,M1} R(4914,7) { perp( skol20, skol27,
% 3.86/4.24 skol12( skol20, skol27 ), skol20 ) }.
% 3.86/4.24 substitution0:
% 3.86/4.24 X := skol20
% 3.86/4.24 Y := skol27
% 3.86/4.24 Z := skol12( skol20, skol27 )
% 3.86/4.24 T := skol20
% 3.86/4.24 end
% 3.86/4.24 substitution1:
% 3.86/4.24 end
% 3.86/4.24
% 3.86/4.24 subsumption: (6861) {G3,W7,D3,L1,V0,M1} R(6850,6) { perp( skol20, skol27,
% 3.86/4.24 skol20, skol12( skol20, skol27 ) ) }.
% 3.86/4.24 parent0: (24061) {G1,W7,D3,L1,V0,M1} { perp( skol20, skol27, skol20,
% 3.86/4.24 skol12( skol20, skol27 ) ) }.
% 3.86/4.24 substitution0:
% 3.86/4.24 end
% 3.86/4.24 permutation0:
% 3.86/4.24 0 ==> 0
% 3.86/4.24 end
% 3.86/4.24
% 3.86/4.24 resolution: (24062) {G1,W7,D3,L1,V0,M1} { perp( skol20, skol12( skol20,
% 3.86/4.24 skol27 ), skol20, skol27 ) }.
% 3.86/4.24 parent0[0]: (7) {G0,W10,D2,L2,V4,M2} I { ! perp( X, Y, Z, T ), perp( Z, T,
% 3.86/4.24 X, Y ) }.
% 3.86/4.24 parent1[0]: (6861) {G3,W7,D3,L1,V0,M1} R(6850,6) { perp( skol20, skol27,
% 3.86/4.24 skol20, skol12( skol20, skol27 ) ) }.
% 3.86/4.24 substitution0:
% 3.86/4.24 X := skol20
% 3.86/4.24 Y := skol27
% 3.86/4.24 Z := skol20
% 3.86/4.24 T := skol12( skol20, skol27 )
% 3.86/4.24 end
% 3.86/4.24 substitution1:
% 3.86/4.24 end
% 3.86/4.24
% 3.86/4.24 subsumption: (6871) {G4,W7,D3,L1,V0,M1} R(6861,7) { perp( skol20, skol12(
% 3.86/4.24 skol20, skol27 ), skol20, skol27 ) }.
% 3.86/4.24 parent0: (24062) {G1,W7,D3,L1,V0,M1} { perp( skol20, skol12( skol20,
% 3.86/4.24 skol27 ), skol20, skol27 ) }.
% 3.86/4.24 substitution0:
% 3.86/4.24 end
% 3.86/4.24 permutation0:
% 3.86/4.24 0 ==> 0
% 3.86/4.24 end
% 3.86/4.24
% 3.86/4.24 resolution: (24063) {G1,W7,D3,L1,V0,M1} { perp( skol20, skol12( skol20,
% 3.86/4.24 skol27 ), skol27, skol20 ) }.
% 3.86/4.24 parent0[0]: (6) {G0,W10,D2,L2,V4,M2} I { ! perp( X, Y, Z, T ), perp( X, Y,
% 3.86/4.24 T, Z ) }.
% 3.86/4.24 parent1[0]: (6871) {G4,W7,D3,L1,V0,M1} R(6861,7) { perp( skol20, skol12(
% 3.86/4.24 skol20, skol27 ), skol20, skol27 ) }.
% 3.86/4.24 substitution0:
% 3.86/4.24 X := skol20
% 3.86/4.24 Y := skol12( skol20, skol27 )
% 3.86/4.24 Z := skol20
% 3.86/4.24 T := skol27
% 3.86/4.24 end
% 3.86/4.24 substitution1:
% 3.86/4.24 end
% 3.86/4.24
% 3.86/4.24 subsumption: (6962) {G5,W7,D3,L1,V0,M1} R(6871,6) { perp( skol20, skol12(
% 3.86/4.24 skol20, skol27 ), skol27, skol20 ) }.
% 3.86/4.24 parent0: (24063) {G1,W7,D3,L1,V0,M1} { perp( skol20, skol12( skol20,
% 3.86/4.24 skol27 ), skol27, skol20 ) }.
% 3.86/4.24 substitution0:
% 3.86/4.24 end
% 3.86/4.24 permutation0:
% 3.86/4.24 0 ==> 0
% 3.86/4.24 end
% 3.86/4.24
% 3.86/4.24 resolution: (24064) {G2,W18,D3,L4,V2,M4} { ! midp( X, skol26, skol25 ), !
% 3.86/4.24 coll( skol26, skol26, skol25 ), midp( skol7( skol26, Y ), skol26, Y ), !
% 3.86/4.24 midp( skol28, skol26, skol25 ) }.
% 3.86/4.24 parent0[2]: (151) {G1,W18,D3,L4,V4,M4} F(88) { ! midp( X, Y, Z ), ! coll( Y
% 3.86/4.24 , Y, Z ), ! coll( Z, Y, Z ), midp( skol7( Y, T ), Y, T ) }.
% 3.86/4.24 parent1[0]: (3556) {G7,W8,D2,L2,V1,M2} R(2896,951) { coll( skol25, skol26,
% 3.86/4.24 X ), ! midp( skol28, skol26, X ) }.
% 3.86/4.24 substitution0:
% 3.86/4.24 X := X
% 3.86/4.24 Y := skol26
% 3.86/4.24 Z := skol25
% 3.86/4.24 T := Y
% 3.86/4.24 end
% 3.86/4.24 substitution1:
% 3.86/4.24 X := skol25
% 3.86/4.24 end
% 3.86/4.24
% 3.86/4.24 resolution: (24067) {G3,W14,D3,L3,V2,M3} { ! midp( X, skol26, skol25 ),
% 3.86/4.24 midp( skol7( skol26, Y ), skol26, Y ), ! midp( skol28, skol26, skol25 )
% 3.86/4.24 }.
% 3.86/4.24 parent0[1]: (24064) {G2,W18,D3,L4,V2,M4} { ! midp( X, skol26, skol25 ), !
% 3.86/4.24 coll( skol26, skol26, skol25 ), midp( skol7( skol26, Y ), skol26, Y ), !
% 3.86/4.24 midp( skol28, skol26, skol25 ) }.
% 3.86/4.24 parent1[0]: (471) {G4,W4,D2,L1,V0,M1} R(378,0) { coll( skol26, skol26,
% 3.86/4.24 skol25 ) }.
% 3.86/4.24 substitution0:
% 3.86/4.24 X := X
% 3.86/4.24 Y := Y
% 3.86/4.24 end
% 3.86/4.24 substitution1:
% 3.86/4.24 end
% 3.86/4.24
% 3.86/4.24 subsumption: (8235) {G8,W14,D3,L3,V2,M3} R(151,3556);r(471) { ! midp( X,
% 3.86/4.24 skol26, skol25 ), midp( skol7( skol26, Y ), skol26, Y ), ! midp( skol28,
% 3.86/4.24 skol26, skol25 ) }.
% 3.86/4.24 parent0: (24067) {G3,W14,D3,L3,V2,M3} { ! midp( X, skol26, skol25 ), midp
% 3.86/4.24 ( skol7( skol26, Y ), skol26, Y ), ! midp( skol28, skol26, skol25 ) }.
% 3.86/4.24 substitution0:
% 3.86/4.24 X := X
% 3.86/4.24 Y := Y
% 3.86/4.24 end
% 3.86/4.24 permutation0:
% 3.86/4.24 0 ==> 0
% 3.86/4.24 1 ==> 1
% 3.86/4.24 2 ==> 2
% 3.86/4.24 end
% 3.86/4.24
% 3.86/4.24 factor: (24069) {G8,W10,D3,L2,V1,M2} { ! midp( skol28, skol26, skol25 ),
% 3.86/4.24 midp( skol7( skol26, X ), skol26, X ) }.
% 3.86/4.24 parent0[0, 2]: (8235) {G8,W14,D3,L3,V2,M3} R(151,3556);r(471) { ! midp( X,
% 3.86/4.24 skol26, skol25 ), midp( skol7( skol26, Y ), skol26, Y ), ! midp( skol28,
% 3.86/4.24 skol26, skol25 ) }.
% 3.86/4.24 substitution0:
% 3.86/4.24 X := skol28
% 3.86/4.24 Y := X
% 3.86/4.24 end
% 3.86/4.24
% 3.86/4.24 resolution: (24070) {G1,W6,D3,L1,V1,M1} { midp( skol7( skol26, X ), skol26
% 3.86/4.24 , X ) }.
% 3.86/4.24 parent0[0]: (24069) {G8,W10,D3,L2,V1,M2} { ! midp( skol28, skol26, skol25
% 3.86/4.24 ), midp( skol7( skol26, X ), skol26, X ) }.
% 3.86/4.24 parent1[0]: (117) {G0,W4,D2,L1,V0,M1} I { midp( skol28, skol26, skol25 )
% 3.86/4.24 }.
% 3.86/4.24 substitution0:
% 3.86/4.24 X := X
% 3.86/4.24 end
% 3.86/4.24 substitution1:
% 3.86/4.24 end
% 3.86/4.24
% 3.86/4.24 subsumption: (8356) {G9,W6,D3,L1,V1,M1} F(8235);r(117) { midp( skol7(
% 3.86/4.24 skol26, X ), skol26, X ) }.
% 3.86/4.24 parent0: (24070) {G1,W6,D3,L1,V1,M1} { midp( skol7( skol26, X ), skol26, X
% 3.86/4.24 ) }.
% 3.86/4.24 substitution0:
% 3.86/4.24 X := X
% 3.86/4.24 end
% 3.86/4.24 permutation0:
% 3.86/4.24 0 ==> 0
% 3.86/4.24 end
% 3.86/4.24
% 3.86/4.24 resolution: (24071) {G10,W4,D2,L1,V1,M1} { coll( skol26, skol26, X ) }.
% 3.86/4.24 parent0[0]: (959) {G11,W8,D2,L2,V3,M2} R(69,765) { ! midp( X, Y, Z ), coll
% 3.86/4.24 ( Y, Y, Z ) }.
% 3.86/4.24 parent1[0]: (8356) {G9,W6,D3,L1,V1,M1} F(8235);r(117) { midp( skol7( skol26
% 3.86/4.24 , X ), skol26, X ) }.
% 3.86/4.24 substitution0:
% 3.86/4.24 X := skol7( skol26, X )
% 3.86/4.24 Y := skol26
% 3.86/4.24 Z := X
% 3.86/4.24 end
% 3.86/4.24 substitution1:
% 3.86/4.24 X := X
% 3.86/4.24 end
% 3.86/4.24
% 3.86/4.24 subsumption: (8401) {G12,W4,D2,L1,V1,M1} R(8356,959) { coll( skol26, skol26
% 3.86/4.24 , X ) }.
% 3.86/4.24 parent0: (24071) {G10,W4,D2,L1,V1,M1} { coll( skol26, skol26, X ) }.
% 3.86/4.24 substitution0:
% 3.86/4.24 X := X
% 3.86/4.24 end
% 3.86/4.24 permutation0:
% 3.86/4.24 0 ==> 0
% 3.86/4.24 end
% 3.86/4.24
% 3.86/4.24 resolution: (24072) {G1,W8,D2,L2,V2,M2} { ! coll( skol26, skol26, Y ),
% 3.86/4.24 coll( X, Y, skol26 ) }.
% 3.86/4.24 parent0[0]: (2) {G0,W12,D2,L3,V4,M3} I { ! coll( X, T, Y ), ! coll( X, T, Z
% 3.86/4.24 ), coll( Y, Z, X ) }.
% 3.86/4.24 parent1[0]: (8401) {G12,W4,D2,L1,V1,M1} R(8356,959) { coll( skol26, skol26
% 3.86/4.24 , X ) }.
% 3.86/4.24 substitution0:
% 3.86/4.24 X := skol26
% 3.86/4.24 Y := X
% 3.86/4.24 Z := Y
% 3.86/4.24 T := skol26
% 3.86/4.24 end
% 3.86/4.24 substitution1:
% 3.86/4.24 X := X
% 3.86/4.24 end
% 3.86/4.24
% 3.86/4.24 resolution: (24074) {G2,W4,D2,L1,V2,M1} { coll( Y, X, skol26 ) }.
% 3.86/4.24 parent0[0]: (24072) {G1,W8,D2,L2,V2,M2} { ! coll( skol26, skol26, Y ),
% 3.86/4.24 coll( X, Y, skol26 ) }.
% 3.86/4.24 parent1[0]: (8401) {G12,W4,D2,L1,V1,M1} R(8356,959) { coll( skol26, skol26
% 3.86/4.24 , X ) }.
% 3.86/4.24 substitution0:
% 3.86/4.24 X := Y
% 3.86/4.24 Y := X
% 3.86/4.24 end
% 3.86/4.24 substitution1:
% 3.86/4.24 X := X
% 3.86/4.24 end
% 3.86/4.24
% 3.86/4.24 subsumption: (8463) {G13,W4,D2,L1,V2,M1} R(8401,2);r(8401) { coll( Y, X,
% 3.86/4.24 skol26 ) }.
% 3.86/4.24 parent0: (24074) {G2,W4,D2,L1,V2,M1} { coll( Y, X, skol26 ) }.
% 3.86/4.24 substitution0:
% 3.86/4.24 X := X
% 3.86/4.24 Y := Y
% 3.86/4.24 end
% 3.86/4.24 permutation0:
% 3.86/4.24 0 ==> 0
% 3.86/4.24 end
% 3.86/4.24
% 3.86/4.24 resolution: (24075) {G2,W4,D2,L1,V2,M1} { coll( Y, skol26, X ) }.
% 3.86/4.24 parent0[0]: (176) {G1,W8,D2,L2,V3,M2} R(1,0) { ! coll( X, Y, Z ), coll( Y,
% 3.86/4.24 Z, X ) }.
% 3.86/4.24 parent1[0]: (8463) {G13,W4,D2,L1,V2,M1} R(8401,2);r(8401) { coll( Y, X,
% 3.86/4.24 skol26 ) }.
% 3.86/4.24 substitution0:
% 3.86/4.24 X := X
% 3.86/4.24 Y := Y
% 3.86/4.24 Z := skol26
% 3.86/4.24 end
% 3.86/4.24 substitution1:
% 3.86/4.24 X := Y
% 3.86/4.24 Y := X
% 3.86/4.24 end
% 3.86/4.24
% 3.86/4.24 subsumption: (8484) {G14,W4,D2,L1,V2,M1} R(8463,176) { coll( X, skol26, Y )
% 3.86/4.24 }.
% 3.86/4.24 parent0: (24075) {G2,W4,D2,L1,V2,M1} { coll( Y, skol26, X ) }.
% 3.86/4.24 substitution0:
% 3.86/4.24 X := Y
% 3.86/4.24 Y := X
% 3.86/4.24 end
% 3.86/4.24 permutation0:
% 3.86/4.24 0 ==> 0
% 3.86/4.24 end
% 3.86/4.24
% 3.86/4.24 resolution: (24076) {G1,W8,D2,L2,V3,M2} { ! coll( X, skol26, Z ), coll( Y
% 3.86/4.24 , Z, X ) }.
% 3.86/4.24 parent0[0]: (2) {G0,W12,D2,L3,V4,M3} I { ! coll( X, T, Y ), ! coll( X, T, Z
% 3.86/4.24 ), coll( Y, Z, X ) }.
% 3.86/4.24 parent1[0]: (8484) {G14,W4,D2,L1,V2,M1} R(8463,176) { coll( X, skol26, Y )
% 3.86/4.24 }.
% 3.86/4.24 substitution0:
% 3.86/4.24 X := X
% 3.86/4.24 Y := Y
% 3.86/4.24 Z := Z
% 3.86/4.24 T := skol26
% 3.86/4.24 end
% 3.86/4.24 substitution1:
% 3.86/4.24 X := X
% 3.86/4.24 Y := Y
% 3.86/4.24 end
% 3.86/4.24
% 3.86/4.24 resolution: (24078) {G2,W4,D2,L1,V3,M1} { coll( Z, Y, X ) }.
% 3.86/4.24 parent0[0]: (24076) {G1,W8,D2,L2,V3,M2} { ! coll( X, skol26, Z ), coll( Y
% 3.86/4.24 , Z, X ) }.
% 3.86/4.24 parent1[0]: (8484) {G14,W4,D2,L1,V2,M1} R(8463,176) { coll( X, skol26, Y )
% 3.86/4.24 }.
% 3.86/4.24 substitution0:
% 3.86/4.24 X := X
% 3.86/4.24 Y := Z
% 3.86/4.24 Z := Y
% 3.86/4.24 end
% 3.86/4.24 substitution1:
% 3.86/4.24 X := X
% 3.86/4.24 Y := Y
% 3.86/4.24 end
% 3.86/4.24
% 3.86/4.24 subsumption: (8498) {G15,W4,D2,L1,V3,M1} R(8484,2);r(8484) { coll( Z, Y, X
% 3.86/4.24 ) }.
% 3.86/4.24 parent0: (24078) {G2,W4,D2,L1,V3,M1} { coll( Z, Y, X ) }.
% 3.86/4.24 substitution0:
% 3.86/4.24 X := X
% 3.86/4.24 Y := Y
% 3.86/4.24 Z := Z
% 3.86/4.24 end
% 3.86/4.24 permutation0:
% 3.86/4.24 0 ==> 0
% 3.86/4.24 end
% 3.86/4.24
% 3.86/4.24 resolution: (24079) {G1,W7,D3,L1,V0,M1} { perp( skol27, skol20, skol20,
% 3.86/4.24 skol12( skol20, skol27 ) ) }.
% 3.86/4.24 parent0[0]: (7) {G0,W10,D2,L2,V4,M2} I { ! perp( X, Y, Z, T ), perp( Z, T,
% 3.86/4.24 X, Y ) }.
% 3.86/4.24 parent1[0]: (6962) {G5,W7,D3,L1,V0,M1} R(6871,6) { perp( skol20, skol12(
% 3.86/4.24 skol20, skol27 ), skol27, skol20 ) }.
% 3.86/4.24 substitution0:
% 3.86/4.24 X := skol20
% 3.86/4.24 Y := skol12( skol20, skol27 )
% 3.86/4.24 Z := skol27
% 3.86/4.24 T := skol20
% 3.86/4.24 end
% 3.86/4.24 substitution1:
% 3.86/4.24 end
% 3.86/4.24
% 3.86/4.24 subsumption: (8752) {G6,W7,D3,L1,V0,M1} R(6962,7) { perp( skol27, skol20,
% 3.86/4.24 skol20, skol12( skol20, skol27 ) ) }.
% 3.86/4.24 parent0: (24079) {G1,W7,D3,L1,V0,M1} { perp( skol27, skol20, skol20,
% 3.86/4.24 skol12( skol20, skol27 ) ) }.
% 3.86/4.24 substitution0:
% 3.86/4.24 end
% 3.86/4.24 permutation0:
% 3.86/4.24 0 ==> 0
% 3.86/4.24 end
% 3.86/4.24
% 3.86/4.24 resolution: (24080) {G1,W14,D3,L2,V2,M2} { ! coll( skol12( skol20, skol27
% 3.86/4.24 ), X, Y ), perp( skol16( skol27, X, Y ), skol27, X, Y ) }.
% 3.86/4.24 parent0[0]: (110) {G0,W17,D3,L3,V5,M3} I { ! perp( X, U, U, T ), ! coll( T
% 3.86/4.24 , Y, Z ), perp( skol16( X, Y, Z ), X, Y, Z ) }.
% 3.86/4.24 parent1[0]: (8752) {G6,W7,D3,L1,V0,M1} R(6962,7) { perp( skol27, skol20,
% 3.86/4.24 skol20, skol12( skol20, skol27 ) ) }.
% 3.86/4.24 substitution0:
% 3.86/4.24 X := skol27
% 3.86/4.24 Y := X
% 3.86/4.24 Z := Y
% 3.86/4.24 T := skol12( skol20, skol27 )
% 3.86/4.24 U := skol20
% 3.86/4.24 end
% 3.86/4.24 substitution1:
% 3.86/4.24 end
% 3.86/4.24
% 3.86/4.24 resolution: (24081) {G2,W8,D3,L1,V2,M1} { perp( skol16( skol27, X, Y ),
% 3.86/4.24 skol27, X, Y ) }.
% 3.86/4.24 parent0[0]: (24080) {G1,W14,D3,L2,V2,M2} { ! coll( skol12( skol20, skol27
% 3.86/4.24 ), X, Y ), perp( skol16( skol27, X, Y ), skol27, X, Y ) }.
% 3.86/4.24 parent1[0]: (8498) {G15,W4,D2,L1,V3,M1} R(8484,2);r(8484) { coll( Z, Y, X )
% 3.86/4.24 }.
% 3.86/4.24 substitution0:
% 3.86/4.24 X := X
% 3.86/4.24 Y := Y
% 3.86/4.24 end
% 3.86/4.24 substitution1:
% 3.86/4.24 X := Y
% 3.86/4.24 Y := X
% 3.86/4.24 Z := skol12( skol20, skol27 )
% 3.86/4.24 end
% 3.86/4.24
% 3.86/4.24 subsumption: (8754) {G16,W8,D3,L1,V2,M1} R(8752,110);r(8498) { perp( skol16
% 3.86/4.24 ( skol27, X, Y ), skol27, X, Y ) }.
% 3.86/4.24 parent0: (24081) {G2,W8,D3,L1,V2,M1} { perp( skol16( skol27, X, Y ),
% 3.86/4.24 skol27, X, Y ) }.
% 3.86/4.24 substitution0:
% 3.86/4.24 X := X
% 3.86/4.24 Y := Y
% 3.86/4.24 end
% 3.86/4.24 permutation0:
% 3.86/4.24 0 ==> 0
% 3.86/4.24 end
% 3.86/4.24
% 3.86/4.24 resolution: (24082) {G1,W8,D3,L1,V2,M1} { perp( X, Y, skol16( skol27, X, Y
% 3.86/4.24 ), skol27 ) }.
% 3.86/4.24 parent0[0]: (7) {G0,W10,D2,L2,V4,M2} I { ! perp( X, Y, Z, T ), perp( Z, T,
% 3.86/4.24 X, Y ) }.
% 3.86/4.24 parent1[0]: (8754) {G16,W8,D3,L1,V2,M1} R(8752,110);r(8498) { perp( skol16
% 3.86/4.24 ( skol27, X, Y ), skol27, X, Y ) }.
% 3.86/4.24 substitution0:
% 3.86/4.24 X := skol16( skol27, X, Y )
% 3.86/4.24 Y := skol27
% 3.86/4.24 Z := X
% 3.86/4.24 T := Y
% 3.86/4.24 end
% 3.86/4.24 substitution1:
% 3.86/4.24 X := X
% 3.86/4.24 Y := Y
% 3.86/4.24 end
% 3.86/4.24
% 3.86/4.24 subsumption: (8910) {G17,W8,D3,L1,V2,M1} R(8754,7) { perp( X, Y, skol16(
% 3.86/4.24 skol27, X, Y ), skol27 ) }.
% 3.86/4.24 parent0: (24082) {G1,W8,D3,L1,V2,M1} { perp( X, Y, skol16( skol27, X, Y )
% 3.86/4.24 , skol27 ) }.
% 3.86/4.24 substitution0:
% 3.86/4.24 X := X
% 3.86/4.24 Y := Y
% 3.86/4.24 end
% 3.86/4.24 permutation0:
% 3.86/4.24 0 ==> 0
% 3.86/4.24 end
% 3.86/4.24
% 3.86/4.24 resolution: (24083) {G1,W8,D3,L1,V2,M1} { perp( X, Y, skol27, skol16(
% 3.86/4.24 skol27, X, Y ) ) }.
% 3.86/4.24 parent0[0]: (6) {G0,W10,D2,L2,V4,M2} I { ! perp( X, Y, Z, T ), perp( X, Y,
% 3.86/4.24 T, Z ) }.
% 3.86/4.24 parent1[0]: (8910) {G17,W8,D3,L1,V2,M1} R(8754,7) { perp( X, Y, skol16(
% 3.86/4.24 skol27, X, Y ), skol27 ) }.
% 3.86/4.24 substitution0:
% 3.86/4.24 X := X
% 3.86/4.24 Y := Y
% 3.86/4.24 Z := skol16( skol27, X, Y )
% 3.86/4.24 T := skol27
% 3.86/4.24 end
% 3.86/4.24 substitution1:
% 3.86/4.24 X := X
% 3.86/4.24 Y := Y
% 3.86/4.24 end
% 3.86/4.24
% 3.86/4.24 subsumption: (8928) {G18,W8,D3,L1,V2,M1} R(8910,6) { perp( X, Y, skol27,
% 3.86/4.24 skol16( skol27, X, Y ) ) }.
% 3.86/4.24 parent0: (24083) {G1,W8,D3,L1,V2,M1} { perp( X, Y, skol27, skol16( skol27
% 3.86/4.24 , X, Y ) ) }.
% 3.86/4.24 substitution0:
% 3.86/4.24 X := X
% 3.86/4.24 Y := Y
% 3.86/4.24 end
% 3.86/4.24 permutation0:
% 3.86/4.24 0 ==> 0
% 3.86/4.24 end
% 3.86/4.24
% 3.86/4.24 resolution: (24084) {G1,W15,D3,L2,V3,M2} { ! coll( skol16( skol27, X,
% 3.86/4.24 skol27 ), Y, Z ), perp( skol16( X, Y, Z ), X, Y, Z ) }.
% 3.86/4.24 parent0[0]: (110) {G0,W17,D3,L3,V5,M3} I { ! perp( X, U, U, T ), ! coll( T
% 3.86/4.24 , Y, Z ), perp( skol16( X, Y, Z ), X, Y, Z ) }.
% 3.86/4.24 parent1[0]: (8928) {G18,W8,D3,L1,V2,M1} R(8910,6) { perp( X, Y, skol27,
% 3.86/4.24 skol16( skol27, X, Y ) ) }.
% 3.86/4.24 substitution0:
% 3.86/4.24 X := X
% 3.86/4.24 Y := Y
% 3.86/4.24 Z := Z
% 3.86/4.24 T := skol16( skol27, X, skol27 )
% 3.86/4.24 U := skol27
% 3.86/4.24 end
% 3.86/4.24 substitution1:
% 3.86/4.24 X := X
% 3.86/4.24 Y := skol27
% 3.86/4.24 end
% 3.86/4.24
% 3.86/4.24 resolution: (24085) {G2,W8,D3,L1,V3,M1} { perp( skol16( X, Y, Z ), X, Y, Z
% 3.86/4.24 ) }.
% 3.86/4.24 parent0[0]: (24084) {G1,W15,D3,L2,V3,M2} { ! coll( skol16( skol27, X,
% 3.86/4.24 skol27 ), Y, Z ), perp( skol16( X, Y, Z ), X, Y, Z ) }.
% 3.86/4.24 parent1[0]: (8498) {G15,W4,D2,L1,V3,M1} R(8484,2);r(8484) { coll( Z, Y, X )
% 3.86/4.24 }.
% 3.86/4.24 substitution0:
% 3.86/4.24 X := X
% 3.86/4.24 Y := Y
% 3.86/4.24 Z := Z
% 3.86/4.24 end
% 3.86/4.24 substitution1:
% 3.86/4.24 X := Z
% 3.86/4.24 Y := Y
% 3.86/4.24 Z := skol16( skol27, X, skol27 )
% 3.86/4.24 end
% 3.86/4.24
% 3.86/4.24 subsumption: (8932) {G19,W8,D3,L1,V3,M1} R(8928,110);r(8498) { perp( skol16
% 3.86/4.24 ( X, Y, Z ), X, Y, Z ) }.
% 3.86/4.24 parent0: (24085) {G2,W8,D3,L1,V3,M1} { perp( skol16( X, Y, Z ), X, Y, Z )
% 3.86/4.24 }.
% 3.86/4.24 substitution0:
% 3.86/4.24 X := X
% 3.86/4.24 Y := Y
% 3.86/4.24 Z := Z
% 3.86/4.24 end
% 3.86/4.24 permutation0:
% 3.86/4.24 0 ==> 0
% 3.86/4.24 end
% 3.86/4.24
% 3.86/4.24 resolution: (24086) {G2,W8,D3,L1,V3,M1} { perp( Y, Z, X, skol16( X, Y, Z )
% 3.86/4.24 ) }.
% 3.86/4.24 parent0[0]: (277) {G1,W10,D2,L2,V4,M2} R(7,6) { ! perp( X, Y, Z, T ), perp
% 3.86/4.24 ( Z, T, Y, X ) }.
% 3.86/4.24 parent1[0]: (8932) {G19,W8,D3,L1,V3,M1} R(8928,110);r(8498) { perp( skol16
% 3.86/4.24 ( X, Y, Z ), X, Y, Z ) }.
% 3.86/4.24 substitution0:
% 3.86/4.24 X := skol16( X, Y, Z )
% 3.86/4.24 Y := X
% 3.86/4.24 Z := Y
% 3.86/4.24 T := Z
% 3.86/4.24 end
% 3.86/4.24 substitution1:
% 3.86/4.24 X := X
% 3.86/4.24 Y := Y
% 3.86/4.24 Z := Z
% 3.86/4.24 end
% 3.86/4.24
% 3.86/4.24 subsumption: (8985) {G20,W8,D3,L1,V3,M1} R(277,8932) { perp( X, Y, Z,
% 3.86/4.24 skol16( Z, X, Y ) ) }.
% 3.86/4.24 parent0: (24086) {G2,W8,D3,L1,V3,M1} { perp( Y, Z, X, skol16( X, Y, Z ) )
% 3.86/4.24 }.
% 3.86/4.24 substitution0:
% 3.86/4.24 X := Z
% 3.86/4.24 Y := X
% 3.86/4.24 Z := Y
% 3.86/4.24 end
% 3.86/4.24 permutation0:
% 3.86/4.24 0 ==> 0
% 3.86/4.24 end
% 3.86/4.24
% 3.86/4.24 resolution: (24087) {G1,W8,D3,L1,V3,M1} { perp( Z, skol16( Z, X, Y ), X, Y
% 3.86/4.24 ) }.
% 3.86/4.24 parent0[0]: (7) {G0,W10,D2,L2,V4,M2} I { ! perp( X, Y, Z, T ), perp( Z, T,
% 3.86/4.24 X, Y ) }.
% 3.86/4.24 parent1[0]: (8985) {G20,W8,D3,L1,V3,M1} R(277,8932) { perp( X, Y, Z, skol16
% 3.86/4.24 ( Z, X, Y ) ) }.
% 3.86/4.24 substitution0:
% 3.86/4.24 X := X
% 3.86/4.24 Y := Y
% 3.86/4.24 Z := Z
% 3.86/4.24 T := skol16( Z, X, Y )
% 3.86/4.24 end
% 3.86/4.24 substitution1:
% 3.86/4.24 X := X
% 3.86/4.24 Y := Y
% 3.86/4.24 Z := Z
% 3.86/4.24 end
% 3.86/4.24
% 3.86/4.24 subsumption: (9017) {G21,W8,D3,L1,V3,M1} R(8985,7) { perp( X, skol16( X, Y
% 3.86/4.24 , Z ), Y, Z ) }.
% 3.86/4.24 parent0: (24087) {G1,W8,D3,L1,V3,M1} { perp( Z, skol16( Z, X, Y ), X, Y )
% 3.86/4.24 }.
% 3.86/4.24 substitution0:
% 3.86/4.24 X := Y
% 3.86/4.24 Y := Z
% 3.86/4.24 Z := X
% 3.86/4.24 end
% 3.86/4.24 permutation0:
% 3.86/4.24 0 ==> 0
% 3.86/4.24 end
% 3.86/4.24
% 3.86/4.24 *** allocated 576640 integers for termspace/termends
% 3.86/4.24 resolution: (24088) {G2,W8,D3,L1,V2,M1} { perp( X, skol10( X, X, Y ), Y, X
% 3.86/4.24 ) }.
% 3.86/4.24 parent0[0]: (157) {G1,W13,D3,L2,V3,M2} F(95) { ! perp( X, Y, X, Z ), perp(
% 3.86/4.24 X, skol10( X, X, Z ), Z, X ) }.
% 3.86/4.24 parent1[0]: (9017) {G21,W8,D3,L1,V3,M1} R(8985,7) { perp( X, skol16( X, Y,
% 3.86/4.24 Z ), Y, Z ) }.
% 3.86/4.24 substitution0:
% 3.86/4.24 X := X
% 3.86/4.24 Y := skol16( X, X, Y )
% 3.86/4.24 Z := Y
% 3.86/4.24 end
% 3.86/4.24 substitution1:
% 3.86/4.24 X := X
% 3.86/4.24 Y := X
% 3.86/4.24 Z := Y
% 3.86/4.24 end
% 3.86/4.24
% 3.86/4.24 subsumption: (9089) {G22,W8,D3,L1,V2,M1} R(9017,157) { perp( X, skol10( X,
% 3.86/4.24 X, Y ), Y, X ) }.
% 3.86/4.24 parent0: (24088) {G2,W8,D3,L1,V2,M1} { perp( X, skol10( X, X, Y ), Y, X )
% 3.86/4.24 }.
% 3.86/4.24 substitution0:
% 3.86/4.24 X := X
% 3.86/4.24 Y := Y
% 3.86/4.24 end
% 3.86/4.24 permutation0:
% 3.86/4.24 0 ==> 0
% 3.86/4.24 end
% 3.86/4.24
% 3.86/4.24 resolution: (24089) {G1,W8,D3,L1,V2,M1} { perp( Y, X, X, skol10( X, X, Y )
% 3.86/4.24 ) }.
% 3.86/4.24 parent0[0]: (7) {G0,W10,D2,L2,V4,M2} I { ! perp( X, Y, Z, T ), perp( Z, T,
% 3.86/4.24 X, Y ) }.
% 3.86/4.24 parent1[0]: (9089) {G22,W8,D3,L1,V2,M1} R(9017,157) { perp( X, skol10( X, X
% 3.86/4.24 , Y ), Y, X ) }.
% 3.86/4.24 substitution0:
% 3.86/4.24 X := X
% 3.86/4.24 Y := skol10( X, X, Y )
% 3.86/4.24 Z := Y
% 3.86/4.25 T := X
% 3.86/4.25 end
% 3.86/4.25 substitution1:
% 3.86/4.25 X := X
% 3.86/4.25 Y := Y
% 3.86/4.25 end
% 3.86/4.25
% 3.86/4.25 subsumption: (9338) {G23,W8,D3,L1,V2,M1} R(9089,7) { perp( X, Y, Y, skol10
% 3.86/4.25 ( Y, Y, X ) ) }.
% 3.86/4.25 parent0: (24089) {G1,W8,D3,L1,V2,M1} { perp( Y, X, X, skol10( X, X, Y ) )
% 3.86/4.25 }.
% 3.86/4.25 substitution0:
% 3.86/4.25 X := Y
% 3.86/4.25 Y := X
% 3.86/4.25 end
% 3.86/4.25 permutation0:
% 3.86/4.25 0 ==> 0
% 3.86/4.25 end
% 3.86/4.25
% 3.86/4.25 resolution: (24090) {G3,W5,D2,L1,V2,M1} { para( X, Y, X, Y ) }.
% 3.86/4.25 parent0[0]: (291) {G2,W10,D2,L2,V4,M2} F(283) { ! perp( X, Y, Z, T ), para
% 3.86/4.25 ( X, Y, X, Y ) }.
% 3.86/4.25 parent1[0]: (9338) {G23,W8,D3,L1,V2,M1} R(9089,7) { perp( X, Y, Y, skol10(
% 3.86/4.25 Y, Y, X ) ) }.
% 3.86/4.25 substitution0:
% 3.86/4.25 X := X
% 3.86/4.25 Y := Y
% 3.86/4.25 Z := Y
% 3.86/4.25 T := skol10( Y, Y, X )
% 3.86/4.25 end
% 3.86/4.25 substitution1:
% 3.86/4.25 X := X
% 3.86/4.25 Y := Y
% 3.86/4.25 end
% 3.86/4.25
% 3.86/4.25 subsumption: (9517) {G24,W5,D2,L1,V2,M1} R(291,9338) { para( X, Y, X, Y )
% 3.86/4.25 }.
% 3.86/4.25 parent0: (24090) {G3,W5,D2,L1,V2,M1} { para( X, Y, X, Y ) }.
% 3.86/4.25 substitution0:
% 3.86/4.25 X := X
% 3.86/4.25 Y := Y
% 3.86/4.25 end
% 3.86/4.25 permutation0:
% 3.86/4.25 0 ==> 0
% 3.86/4.25 end
% 3.86/4.25
% 3.86/4.25 resolution: (24091) {G2,W5,D2,L1,V0,M1} { perp( skol20, skol22, skol22,
% 3.86/4.25 skol29 ) }.
% 3.86/4.25 parent0[0]: (1562) {G1,W9,D2,L2,V0,M2} R(53,118) { ! coll( skol27, skol20,
% 3.86/4.25 skol29 ), perp( skol20, skol22, skol22, skol29 ) }.
% 3.86/4.25 parent1[0]: (8498) {G15,W4,D2,L1,V3,M1} R(8484,2);r(8484) { coll( Z, Y, X )
% 3.86/4.25 }.
% 3.86/4.25 substitution0:
% 3.86/4.25 end
% 3.86/4.25 substitution1:
% 3.86/4.25 X := skol29
% 3.86/4.25 Y := skol20
% 3.86/4.25 Z := skol27
% 3.86/4.25 end
% 3.86/4.25
% 3.86/4.25 subsumption: (20197) {G16,W5,D2,L1,V0,M1} S(1562);r(8498) { perp( skol20,
% 3.86/4.25 skol22, skol22, skol29 ) }.
% 3.86/4.25 parent0: (24091) {G2,W5,D2,L1,V0,M1} { perp( skol20, skol22, skol22,
% 3.86/4.25 skol29 ) }.
% 3.86/4.25 substitution0:
% 3.86/4.25 end
% 3.86/4.25 permutation0:
% 3.86/4.25 0 ==> 0
% 3.86/4.25 end
% 3.86/4.25
% 3.86/4.25 resolution: (24092) {G2,W10,D2,L2,V3,M2} { cyclic( Z, Y, X, X ), ! para( X
% 3.86/4.25 , Z, X, Z ) }.
% 3.86/4.25 parent0[0]: (808) {G1,W14,D2,L3,V3,M3} R(42,39) { ! coll( X, X, Y ), cyclic
% 3.86/4.25 ( Z, Y, X, X ), ! para( X, Z, X, Z ) }.
% 3.86/4.25 parent1[0]: (8498) {G15,W4,D2,L1,V3,M1} R(8484,2);r(8484) { coll( Z, Y, X )
% 3.86/4.25 }.
% 3.86/4.25 substitution0:
% 3.86/4.25 X := X
% 3.86/4.25 Y := Y
% 3.86/4.25 Z := Z
% 3.86/4.25 end
% 3.86/4.25 substitution1:
% 3.86/4.25 X := Y
% 3.86/4.25 Y := X
% 3.86/4.25 Z := X
% 3.86/4.25 end
% 3.86/4.25
% 3.86/4.25 resolution: (24093) {G3,W5,D2,L1,V3,M1} { cyclic( X, Y, Z, Z ) }.
% 3.86/4.25 parent0[1]: (24092) {G2,W10,D2,L2,V3,M2} { cyclic( Z, Y, X, X ), ! para( X
% 3.86/4.25 , Z, X, Z ) }.
% 3.86/4.25 parent1[0]: (9517) {G24,W5,D2,L1,V2,M1} R(291,9338) { para( X, Y, X, Y )
% 3.86/4.25 }.
% 3.86/4.25 substitution0:
% 3.86/4.25 X := Z
% 3.86/4.25 Y := Y
% 3.86/4.25 Z := X
% 3.86/4.25 end
% 3.86/4.25 substitution1:
% 3.86/4.25 X := Z
% 3.86/4.25 Y := X
% 3.86/4.25 end
% 3.86/4.25
% 3.86/4.25 subsumption: (20219) {G25,W5,D2,L1,V3,M1} S(808);r(8498);r(9517) { cyclic(
% 3.86/4.25 Z, Y, X, X ) }.
% 3.86/4.25 parent0: (24093) {G3,W5,D2,L1,V3,M1} { cyclic( X, Y, Z, Z ) }.
% 3.86/4.25 substitution0:
% 3.86/4.25 X := Z
% 3.86/4.25 Y := Y
% 3.86/4.25 Z := X
% 3.86/4.25 end
% 3.86/4.25 permutation0:
% 3.86/4.25 0 ==> 0
% 3.86/4.25 end
% 3.86/4.25
% 3.86/4.25 resolution: (24094) {G2,W5,D2,L1,V3,M1} { cyclic( Y, Z, X, Z ) }.
% 3.86/4.25 parent0[0]: (420) {G1,W10,D2,L2,V4,M2} R(15,14) { ! cyclic( X, Y, Z, T ),
% 3.86/4.25 cyclic( Y, Z, X, T ) }.
% 3.86/4.25 parent1[0]: (20219) {G25,W5,D2,L1,V3,M1} S(808);r(8498);r(9517) { cyclic( Z
% 3.86/4.25 , Y, X, X ) }.
% 3.86/4.25 substitution0:
% 3.86/4.25 X := X
% 3.86/4.25 Y := Y
% 3.86/4.25 Z := Z
% 3.86/4.25 T := Z
% 3.86/4.25 end
% 3.86/4.25 substitution1:
% 3.86/4.25 X := Z
% 3.86/4.25 Y := Y
% 3.86/4.25 Z := X
% 3.86/4.25 end
% 3.86/4.25
% 3.86/4.25 subsumption: (20237) {G26,W5,D2,L1,V3,M1} R(20219,420) { cyclic( X, Y, Z, Y
% 3.86/4.25 ) }.
% 3.86/4.25 parent0: (24094) {G2,W5,D2,L1,V3,M1} { cyclic( Y, Z, X, Z ) }.
% 3.86/4.25 substitution0:
% 3.86/4.25 X := Z
% 3.86/4.25 Y := X
% 3.86/4.25 Z := Y
% 3.86/4.25 end
% 3.86/4.25 permutation0:
% 3.86/4.25 0 ==> 0
% 3.86/4.25 end
% 3.86/4.25
% 3.86/4.25 resolution: (24095) {G2,W5,D2,L1,V3,M1} { cyclic( X, Z, Z, Y ) }.
% 3.86/4.25 parent0[0]: (412) {G1,W10,D2,L2,V4,M2} R(14,13) { ! cyclic( X, Y, Z, T ),
% 3.86/4.25 cyclic( X, Z, T, Y ) }.
% 3.86/4.25 parent1[0]: (20219) {G25,W5,D2,L1,V3,M1} S(808);r(8498);r(9517) { cyclic( Z
% 3.86/4.25 , Y, X, X ) }.
% 3.86/4.25 substitution0:
% 3.86/4.25 X := X
% 3.86/4.25 Y := Y
% 3.86/4.25 Z := Z
% 3.86/4.25 T := Z
% 3.86/4.25 end
% 3.86/4.25 substitution1:
% 3.86/4.25 X := Z
% 3.86/4.25 Y := Y
% 3.86/4.25 Z := X
% 3.86/4.25 end
% 3.86/4.25
% 3.86/4.25 subsumption: (20239) {G26,W5,D2,L1,V3,M1} R(20219,412) { cyclic( X, Y, Y, Z
% 3.86/4.25 ) }.
% 3.86/4.25 parent0: (24095) {G2,W5,D2,L1,V3,M1} { cyclic( X, Z, Z, Y ) }.
% 3.86/4.25 substitution0:
% 3.86/4.25 X := X
% 3.86/4.25 Y := Z
% 3.86/4.25 Z := Y
% 3.86/4.25 end
% 3.86/4.25 permutation0:
% 3.86/4.25 0 ==> 0
% 3.86/4.25 end
% 3.86/4.25
% 3.86/4.25 resolution: (24097) {G2,W10,D2,L2,V4,M2} { ! cyclic( X, Y, Y, Z ), cyclic
% 3.86/4.25 ( Y, Y, Z, T ) }.
% 3.86/4.25 parent0[2]: (443) {G1,W15,D2,L3,V5,M3} R(16,13) { ! cyclic( X, Y, Z, T ),
% 3.86/4.25 cyclic( Y, Z, T, U ), ! cyclic( X, Y, U, Z ) }.
% 3.86/4.25 parent1[0]: (20237) {G26,W5,D2,L1,V3,M1} R(20219,420) { cyclic( X, Y, Z, Y
% 3.86/4.25 ) }.
% 3.86/4.25 substitution0:
% 3.86/4.25 X := X
% 3.86/4.25 Y := Y
% 3.86/4.25 Z := Y
% 3.86/4.25 T := Z
% 3.86/4.25 U := T
% 3.86/4.25 end
% 3.86/4.25 substitution1:
% 3.86/4.25 X := X
% 3.86/4.25 Y := Y
% 3.86/4.25 Z := T
% 3.86/4.25 end
% 3.86/4.25
% 3.86/4.25 resolution: (24098) {G3,W5,D2,L1,V3,M1} { cyclic( Y, Y, Z, T ) }.
% 3.86/4.25 parent0[0]: (24097) {G2,W10,D2,L2,V4,M2} { ! cyclic( X, Y, Y, Z ), cyclic
% 3.86/4.25 ( Y, Y, Z, T ) }.
% 3.86/4.25 parent1[0]: (20239) {G26,W5,D2,L1,V3,M1} R(20219,412) { cyclic( X, Y, Y, Z
% 3.86/4.25 ) }.
% 3.86/4.25 substitution0:
% 3.86/4.25 X := X
% 3.86/4.25 Y := Y
% 3.86/4.25 Z := Z
% 3.86/4.25 T := T
% 3.86/4.25 end
% 3.86/4.25 substitution1:
% 3.86/4.25 X := X
% 3.86/4.25 Y := Y
% 3.86/4.25 Z := Z
% 3.86/4.25 end
% 3.86/4.25
% 3.86/4.25 subsumption: (20243) {G27,W5,D2,L1,V3,M1} R(20237,443);r(20239) { cyclic( Y
% 3.86/4.25 , Y, Z, T ) }.
% 3.86/4.25 parent0: (24098) {G3,W5,D2,L1,V3,M1} { cyclic( Y, Y, Z, T ) }.
% 3.86/4.25 substitution0:
% 3.86/4.25 X := U
% 3.86/4.25 Y := Y
% 3.86/4.25 Z := Z
% 3.86/4.25 T := T
% 3.86/4.25 end
% 3.86/4.25 permutation0:
% 3.86/4.25 0 ==> 0
% 3.86/4.25 end
% 3.86/4.25
% 3.86/4.25 resolution: (24099) {G2,W10,D2,L2,V4,M2} { cyclic( X, Y, Z, T ), ! cyclic
% 3.86/4.25 ( X, X, T, Y ) }.
% 3.86/4.25 parent0[0]: (443) {G1,W15,D2,L3,V5,M3} R(16,13) { ! cyclic( X, Y, Z, T ),
% 3.86/4.25 cyclic( Y, Z, T, U ), ! cyclic( X, Y, U, Z ) }.
% 3.86/4.25 parent1[0]: (20243) {G27,W5,D2,L1,V3,M1} R(20237,443);r(20239) { cyclic( Y
% 3.86/4.25 , Y, Z, T ) }.
% 3.86/4.25 substitution0:
% 3.86/4.25 X := X
% 3.86/4.25 Y := X
% 3.86/4.25 Z := Y
% 3.86/4.25 T := Z
% 3.86/4.25 U := T
% 3.86/4.25 end
% 3.86/4.25 substitution1:
% 3.86/4.25 X := U
% 3.86/4.25 Y := X
% 3.86/4.25 Z := Y
% 3.86/4.25 T := Z
% 3.86/4.25 end
% 3.86/4.25
% 3.86/4.25 resolution: (24101) {G3,W5,D2,L1,V4,M1} { cyclic( X, Y, Z, T ) }.
% 3.86/4.25 parent0[1]: (24099) {G2,W10,D2,L2,V4,M2} { cyclic( X, Y, Z, T ), ! cyclic
% 3.86/4.25 ( X, X, T, Y ) }.
% 3.86/4.25 parent1[0]: (20243) {G27,W5,D2,L1,V3,M1} R(20237,443);r(20239) { cyclic( Y
% 3.86/4.25 , Y, Z, T ) }.
% 3.86/4.25 substitution0:
% 3.86/4.25 X := X
% 3.86/4.25 Y := Y
% 3.86/4.25 Z := Z
% 3.86/4.25 T := T
% 3.86/4.25 end
% 3.86/4.25 substitution1:
% 3.86/4.25 X := U
% 3.86/4.25 Y := X
% 3.86/4.25 Z := T
% 3.86/4.25 T := Y
% 3.86/4.25 end
% 3.86/4.25
% 3.86/4.25 subsumption: (20251) {G28,W5,D2,L1,V4,M1} R(20243,443);r(20243) { cyclic( X
% 3.86/4.25 , Y, Z, T ) }.
% 3.86/4.25 parent0: (24101) {G3,W5,D2,L1,V4,M1} { cyclic( X, Y, Z, T ) }.
% 3.86/4.25 substitution0:
% 3.86/4.25 X := X
% 3.86/4.25 Y := Y
% 3.86/4.25 Z := Z
% 3.86/4.25 T := T
% 3.86/4.25 end
% 3.86/4.25 permutation0:
% 3.86/4.25 0 ==> 0
% 3.86/4.25 end
% 3.86/4.25
% 3.86/4.25 resolution: (24102) {G2,W5,D2,L1,V0,M1} { perp( skol22, skol29, skol22,
% 3.86/4.25 skol20 ) }.
% 3.86/4.25 parent0[0]: (277) {G1,W10,D2,L2,V4,M2} R(7,6) { ! perp( X, Y, Z, T ), perp
% 3.86/4.25 ( Z, T, Y, X ) }.
% 3.86/4.25 parent1[0]: (20197) {G16,W5,D2,L1,V0,M1} S(1562);r(8498) { perp( skol20,
% 3.86/4.25 skol22, skol22, skol29 ) }.
% 3.86/4.25 substitution0:
% 3.86/4.25 X := skol20
% 3.86/4.25 Y := skol22
% 3.86/4.25 Z := skol22
% 3.86/4.25 T := skol29
% 3.86/4.25 end
% 3.86/4.25 substitution1:
% 3.86/4.25 end
% 3.86/4.25
% 3.86/4.25 subsumption: (22013) {G17,W5,D2,L1,V0,M1} R(20197,277) { perp( skol22,
% 3.86/4.25 skol29, skol22, skol20 ) }.
% 3.86/4.25 parent0: (24102) {G2,W5,D2,L1,V0,M1} { perp( skol22, skol29, skol22,
% 3.86/4.25 skol20 ) }.
% 3.86/4.25 substitution0:
% 3.86/4.25 end
% 3.86/4.25 permutation0:
% 3.86/4.25 0 ==> 0
% 3.86/4.25 end
% 3.86/4.25
% 3.86/4.25 resolution: (24103) {G7,W5,D2,L1,V0,M1} { ! para( skol24, skol23, skol22,
% 3.86/4.25 skol29 ) }.
% 3.86/4.25 parent0[1]: (307) {G6,W10,D2,L2,V2,M2} R(9,280) { ! para( skol24, skol23, X
% 3.86/4.25 , Y ), ! perp( X, Y, skol22, skol20 ) }.
% 3.86/4.25 parent1[0]: (22013) {G17,W5,D2,L1,V0,M1} R(20197,277) { perp( skol22,
% 3.86/4.25 skol29, skol22, skol20 ) }.
% 3.86/4.25 substitution0:
% 3.86/4.25 X := skol22
% 3.86/4.25 Y := skol29
% 3.86/4.25 end
% 3.86/4.25 substitution1:
% 3.86/4.25 end
% 3.86/4.25
% 3.86/4.25 subsumption: (22036) {G18,W5,D2,L1,V0,M1} R(22013,307) { ! para( skol24,
% 3.86/4.25 skol23, skol22, skol29 ) }.
% 3.86/4.25 parent0: (24103) {G7,W5,D2,L1,V0,M1} { ! para( skol24, skol23, skol22,
% 3.86/4.25 skol29 ) }.
% 3.86/4.25 substitution0:
% 3.86/4.25 end
% 3.86/4.25 permutation0:
% 3.86/4.25 0 ==> 0
% 3.86/4.25 end
% 3.86/4.25
% 3.86/4.25 resolution: (24106) {G3,W10,D2,L2,V3,M2} { ! cyclic( X, Y, Z, Y ), cong( X
% 3.86/4.25 , Y, X, Y ) }.
% 3.86/4.25 parent0[0]: (1036) {G2,W15,D2,L3,V3,M3} F(1004) { ! cyclic( X, Y, Z, X ), !
% 3.86/4.25 cyclic( X, Y, Z, Y ), cong( X, Y, X, Y ) }.
% 3.86/4.25 parent1[0]: (20251) {G28,W5,D2,L1,V4,M1} R(20243,443);r(20243) { cyclic( X
% 3.86/4.25 , Y, Z, T ) }.
% 3.86/4.25 substitution0:
% 3.86/4.25 X := X
% 3.86/4.25 Y := Y
% 3.86/4.25 Z := Z
% 3.86/4.25 end
% 3.86/4.25 substitution1:
% 3.86/4.25 X := X
% 3.86/4.25 Y := Y
% 3.86/4.25 Z := Z
% 3.86/4.25 T := X
% 3.86/4.25 end
% 3.86/4.25
% 3.86/4.25 resolution: (24108) {G4,W5,D2,L1,V2,M1} { cong( X, Y, X, Y ) }.
% 3.86/4.25 parent0[0]: (24106) {G3,W10,D2,L2,V3,M2} { ! cyclic( X, Y, Z, Y ), cong( X
% 3.86/4.25 , Y, X, Y ) }.
% 3.86/4.25 parent1[0]: (20251) {G28,W5,D2,L1,V4,M1} R(20243,443);r(20243) { cyclic( X
% 3.86/4.25 , Y, Z, T ) }.
% 3.86/4.25 substitution0:
% 3.86/4.25 X := X
% 3.86/4.25 Y := Y
% 3.86/4.25 Z := Z
% 3.86/4.25 end
% 3.86/4.25 substitution1:
% 3.86/4.25 X := X
% 3.86/4.25 Y := Y
% 3.86/4.25 Z := Z
% 3.86/4.25 T := Y
% 3.86/4.25 end
% 3.86/4.25
% 3.86/4.25 subsumption: (23212) {G29,W5,D2,L1,V2,M1} S(1036);r(20251);r(20251) { cong
% 3.86/4.25 ( X, Y, X, Y ) }.
% 3.86/4.25 parent0: (24108) {G4,W5,D2,L1,V2,M1} { cong( X, Y, X, Y ) }.
% 3.86/4.25 substitution0:
% 3.86/4.25 X := X
% 3.86/4.25 Y := Y
% 3.86/4.25 end
% 3.86/4.25 permutation0:
% 3.86/4.25 0 ==> 0
% 3.86/4.25 end
% 3.86/4.25
% 3.86/4.25 resolution: (24109) {G1,W10,D2,L2,V3,M2} { ! cong( X, Z, X, Z ), perp( X,
% 3.86/4.25 X, Y, Z ) }.
% 3.86/4.25 parent0[0]: (56) {G0,W15,D2,L3,V4,M3} I { ! cong( X, Z, Y, Z ), ! cong( X,
% 3.86/4.25 T, Y, T ), perp( X, Y, Z, T ) }.
% 3.86/4.25 parent1[0]: (23212) {G29,W5,D2,L1,V2,M1} S(1036);r(20251);r(20251) { cong(
% 3.86/4.25 X, Y, X, Y ) }.
% 3.86/4.25 substitution0:
% 3.86/4.25 X := X
% 3.86/4.25 Y := X
% 3.86/4.25 Z := Y
% 3.86/4.25 T := Z
% 3.86/4.25 end
% 3.86/4.25 substitution1:
% 3.86/4.25 X := X
% 3.86/4.25 Y := Y
% 3.86/4.25 end
% 3.86/4.25
% 3.86/4.25 resolution: (24111) {G2,W5,D2,L1,V3,M1} { perp( X, X, Z, Y ) }.
% 3.86/4.25 parent0[0]: (24109) {G1,W10,D2,L2,V3,M2} { ! cong( X, Z, X, Z ), perp( X,
% 3.86/4.25 X, Y, Z ) }.
% 3.86/4.25 parent1[0]: (23212) {G29,W5,D2,L1,V2,M1} S(1036);r(20251);r(20251) { cong(
% 3.86/4.25 X, Y, X, Y ) }.
% 3.86/4.25 substitution0:
% 3.86/4.25 X := X
% 3.86/4.25 Y := Z
% 3.86/4.25 Z := Y
% 3.86/4.25 end
% 3.86/4.25 substitution1:
% 3.86/4.25 X := X
% 3.86/4.25 Y := Y
% 3.86/4.25 end
% 3.86/4.25
% 3.86/4.25 subsumption: (23222) {G30,W5,D2,L1,V3,M1} R(23212,56);r(23212) { perp( X, X
% 3.86/4.25 , Z, Y ) }.
% 3.86/4.25 parent0: (24111) {G2,W5,D2,L1,V3,M1} { perp( X, X, Z, Y ) }.
% 3.86/4.25 substitution0:
% 3.86/4.25 X := X
% 3.86/4.25 Y := Y
% 3.86/4.25 Z := Z
% 3.86/4.25 end
% 3.86/4.25 permutation0:
% 3.86/4.25 0 ==> 0
% 3.86/4.25 end
% 3.86/4.25
% 3.86/4.25 resolution: (24112) {G2,W10,D2,L2,V5,M2} { para( T, U, Y, Z ), ! perp( X,
% 3.86/4.25 X, T, U ) }.
% 3.86/4.25 parent0[0]: (282) {G1,W15,D2,L3,V6,M3} R(8,7) { ! perp( X, Y, Z, T ), para
% 3.86/4.25 ( U, W, Z, T ), ! perp( X, Y, U, W ) }.
% 3.86/4.25 parent1[0]: (23222) {G30,W5,D2,L1,V3,M1} R(23212,56);r(23212) { perp( X, X
% 3.86/4.25 , Z, Y ) }.
% 3.86/4.25 substitution0:
% 3.86/4.25 X := X
% 3.86/4.25 Y := X
% 3.86/4.25 Z := Y
% 3.86/4.25 T := Z
% 3.86/4.25 U := T
% 3.86/4.25 W := U
% 3.86/4.25 end
% 3.86/4.25 substitution1:
% 3.86/4.25 X := X
% 3.86/4.25 Y := Z
% 3.86/4.25 Z := Y
% 3.86/4.25 end
% 3.86/4.25
% 3.86/4.25 resolution: (24114) {G3,W5,D2,L1,V4,M1} { para( X, Y, Z, T ) }.
% 3.86/4.25 parent0[1]: (24112) {G2,W10,D2,L2,V5,M2} { para( T, U, Y, Z ), ! perp( X,
% 3.86/4.25 X, T, U ) }.
% 3.86/4.25 parent1[0]: (23222) {G30,W5,D2,L1,V3,M1} R(23212,56);r(23212) { perp( X, X
% 3.86/4.25 , Z, Y ) }.
% 3.86/4.25 substitution0:
% 3.86/4.25 X := U
% 3.86/4.25 Y := Z
% 3.86/4.25 Z := T
% 3.86/4.25 T := X
% 3.86/4.25 U := Y
% 3.86/4.25 end
% 3.86/4.25 substitution1:
% 3.86/4.25 X := U
% 3.86/4.25 Y := Y
% 3.86/4.25 Z := X
% 3.86/4.25 end
% 3.86/4.25
% 3.86/4.25 subsumption: (23259) {G31,W5,D2,L1,V4,M1} R(23222,282);r(23222) { para( X,
% 3.86/4.25 Y, Z, T ) }.
% 3.86/4.25 parent0: (24114) {G3,W5,D2,L1,V4,M1} { para( X, Y, Z, T ) }.
% 3.86/4.25 substitution0:
% 3.86/4.25 X := X
% 3.86/4.25 Y := Y
% 3.86/4.25 Z := Z
% 3.86/4.25 T := T
% 3.86/4.25 end
% 3.86/4.25 permutation0:
% 3.86/4.25 0 ==> 0
% 3.86/4.25 end
% 3.86/4.25
% 3.86/4.25 resolution: (24115) {G19,W0,D0,L0,V0,M0} { }.
% 3.86/4.25 parent0[0]: (22036) {G18,W5,D2,L1,V0,M1} R(22013,307) { ! para( skol24,
% 3.86/4.25 skol23, skol22, skol29 ) }.
% 3.86/4.25 parent1[0]: (23259) {G31,W5,D2,L1,V4,M1} R(23222,282);r(23222) { para( X, Y
% 3.86/4.25 , Z, T ) }.
% 3.86/4.25 substitution0:
% 3.86/4.25 end
% 3.86/4.25 substitution1:
% 3.86/4.25 X := skol24
% 3.86/4.25 Y := skol23
% 3.86/4.25 Z := skol22
% 3.86/4.25 T := skol29
% 3.86/4.25 end
% 3.86/4.25
% 3.86/4.25 subsumption: (23268) {G32,W0,D0,L0,V0,M0} R(23259,22036) { }.
% 3.86/4.25 parent0: (24115) {G19,W0,D0,L0,V0,M0} { }.
% 3.86/4.25 substitution0:
% 3.86/4.25 end
% 3.86/4.25 permutation0:
% 3.86/4.25 end
% 3.86/4.25
% 3.86/4.25 Proof check complete!
% 3.86/4.25
% 3.86/4.25 Memory use:
% 3.86/4.25
% 3.86/4.25 space for terms: 371312
% 3.86/4.25 space for clauses: 1184068
% 3.86/4.25
% 3.86/4.25
% 3.86/4.25 clauses generated: 133661
% 3.86/4.25 clauses kept: 23269
% 3.86/4.25 clauses selected: 2063
% 3.86/4.25 clauses deleted: 7476
% 3.86/4.25 clauses inuse deleted: 696
% 3.86/4.25
% 3.86/4.25 subsentry: 2005716
% 3.86/4.25 literals s-matched: 1345493
% 3.86/4.25 literals matched: 824310
% 3.86/4.25 full subsumption: 328111
% 3.86/4.25
% 3.86/4.25 checksum: -190152578
% 3.86/4.25
% 3.86/4.25
% 3.86/4.25 Bliksem ended
%------------------------------------------------------------------------------