TSTP Solution File: GEO620+1 by Bliksem---1.12
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : GEO620+1 : TPTP v8.1.0. Released v7.5.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n032.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 0s
% DateTime : Sat Jul 16 02:55:09 EDT 2022
% Result : Theorem 1.78s 2.20s
% Output : Refutation 1.78s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.05/0.08 % Problem : GEO620+1 : TPTP v8.1.0. Released v7.5.0.
% 0.05/0.08 % Command : bliksem %s
% 0.07/0.27 % Computer : n032.cluster.edu
% 0.07/0.27 % Model : x86_64 x86_64
% 0.07/0.27 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.27 % Memory : 8042.1875MB
% 0.07/0.27 % OS : Linux 3.10.0-693.el7.x86_64
% 0.07/0.27 % CPULimit : 300
% 0.07/0.27 % DateTime : Fri Jun 17 15:48:46 EDT 2022
% 0.07/0.27 % CPUTime :
% 0.46/0.90 *** allocated 10000 integers for termspace/termends
% 0.46/0.90 *** allocated 10000 integers for clauses
% 0.46/0.90 *** allocated 10000 integers for justifications
% 0.46/0.90 Bliksem 1.12
% 0.46/0.90
% 0.46/0.90
% 0.46/0.90 Automatic Strategy Selection
% 0.46/0.90
% 0.46/0.90 *** allocated 15000 integers for termspace/termends
% 0.46/0.90
% 0.46/0.90 Clauses:
% 0.46/0.90
% 0.46/0.90 { ! coll( X, Y, Z ), coll( X, Z, Y ) }.
% 0.46/0.90 { ! coll( X, Y, Z ), coll( Y, X, Z ) }.
% 0.46/0.90 { ! coll( X, T, Y ), ! coll( X, T, Z ), coll( Y, Z, X ) }.
% 0.46/0.90 { ! para( X, Y, Z, T ), para( X, Y, T, Z ) }.
% 0.46/0.90 { ! para( X, Y, Z, T ), para( Z, T, X, Y ) }.
% 0.46/0.90 { ! para( X, Y, U, W ), ! para( U, W, Z, T ), para( X, Y, Z, T ) }.
% 0.46/0.90 { ! perp( X, Y, Z, T ), perp( X, Y, T, Z ) }.
% 0.46/0.90 { ! perp( X, Y, Z, T ), perp( Z, T, X, Y ) }.
% 0.46/0.90 { ! perp( X, Y, U, W ), ! perp( U, W, Z, T ), para( X, Y, Z, T ) }.
% 0.46/0.90 { ! para( X, Y, U, W ), ! perp( U, W, Z, T ), perp( X, Y, Z, T ) }.
% 0.46/0.90 { ! midp( Z, Y, X ), midp( Z, X, Y ) }.
% 0.46/0.90 { ! cong( T, X, T, Y ), ! cong( T, X, T, Z ), circle( T, X, Y, Z ) }.
% 0.46/0.90 { ! cong( U, X, U, Y ), ! cong( U, X, U, Z ), ! cong( U, X, U, T ), cyclic
% 0.46/0.90 ( X, Y, Z, T ) }.
% 0.46/0.90 { ! cyclic( X, Y, Z, T ), cyclic( X, Y, T, Z ) }.
% 0.46/0.90 { ! cyclic( X, Y, Z, T ), cyclic( X, Z, Y, T ) }.
% 0.46/0.90 { ! cyclic( X, Y, Z, T ), cyclic( Y, X, Z, T ) }.
% 0.46/0.90 { ! cyclic( U, X, Y, Z ), ! cyclic( U, X, Y, T ), cyclic( X, Y, Z, T ) }.
% 0.46/0.90 { ! eqangle( X, Y, Z, T, U, W, V0, V1 ), eqangle( Y, X, Z, T, U, W, V0, V1
% 0.46/0.90 ) }.
% 0.46/0.90 { ! eqangle( X, Y, Z, T, U, W, V0, V1 ), eqangle( Z, T, X, Y, V0, V1, U, W
% 0.46/0.90 ) }.
% 0.46/0.90 { ! eqangle( X, Y, Z, T, U, W, V0, V1 ), eqangle( U, W, V0, V1, X, Y, Z, T
% 0.46/0.90 ) }.
% 0.46/0.90 { ! eqangle( X, Y, Z, T, U, W, V0, V1 ), eqangle( X, Y, U, W, Z, T, V0, V1
% 0.46/0.90 ) }.
% 0.46/0.90 { ! eqangle( X, Y, Z, T, V2, V3, V4, V5 ), ! eqangle( V2, V3, V4, V5, U, W
% 0.46/0.90 , V0, V1 ), eqangle( X, Y, Z, T, U, W, V0, V1 ) }.
% 0.46/0.90 { ! cong( X, Y, Z, T ), cong( X, Y, T, Z ) }.
% 0.46/0.90 { ! cong( X, Y, Z, T ), cong( Z, T, X, Y ) }.
% 0.46/0.90 { ! cong( X, Y, U, W ), ! cong( U, W, Z, T ), cong( X, Y, Z, T ) }.
% 0.46/0.90 { ! eqratio( X, Y, Z, T, U, W, V0, V1 ), eqratio( Y, X, Z, T, U, W, V0, V1
% 0.46/0.90 ) }.
% 0.46/0.90 { ! eqratio( X, Y, Z, T, U, W, V0, V1 ), eqratio( Z, T, X, Y, V0, V1, U, W
% 0.46/0.90 ) }.
% 0.46/0.90 { ! eqratio( X, Y, Z, T, U, W, V0, V1 ), eqratio( U, W, V0, V1, X, Y, Z, T
% 0.46/0.90 ) }.
% 0.46/0.90 { ! eqratio( X, Y, Z, T, U, W, V0, V1 ), eqratio( X, Y, U, W, Z, T, V0, V1
% 0.46/0.90 ) }.
% 0.46/0.90 { ! eqratio( X, Y, Z, T, V2, V3, V4, V5 ), ! eqratio( V2, V3, V4, V5, U, W
% 0.46/0.90 , V0, V1 ), eqratio( X, Y, Z, T, U, W, V0, V1 ) }.
% 0.46/0.90 { ! simtri( X, Z, Y, T, W, U ), simtri( X, Y, Z, T, U, W ) }.
% 0.46/0.90 { ! simtri( Y, X, Z, U, T, W ), simtri( X, Y, Z, T, U, W ) }.
% 0.46/0.90 { ! simtri( T, U, W, X, Y, Z ), simtri( X, Y, Z, T, U, W ) }.
% 0.46/0.90 { ! simtri( X, Y, Z, V0, V1, V2 ), ! simtri( V0, V1, V2, T, U, W ), simtri
% 0.46/0.90 ( X, Y, Z, T, U, W ) }.
% 0.46/0.90 { ! contri( X, Z, Y, T, W, U ), contri( X, Y, Z, T, U, W ) }.
% 0.46/0.90 { ! contri( Y, X, Z, U, T, W ), contri( X, Y, Z, T, U, W ) }.
% 0.46/0.90 { ! contri( T, U, W, X, Y, Z ), contri( X, Y, Z, T, U, W ) }.
% 0.46/0.90 { ! contri( X, Y, Z, V0, V1, V2 ), ! contri( V0, V1, V2, T, U, W ), contri
% 0.46/0.90 ( X, Y, Z, T, U, W ) }.
% 0.46/0.90 { ! eqangle( X, Y, U, W, Z, T, U, W ), para( X, Y, Z, T ) }.
% 0.46/0.90 { ! para( X, Y, Z, T ), eqangle( X, Y, U, W, Z, T, U, W ) }.
% 0.46/0.90 { ! cyclic( X, Y, Z, T ), eqangle( Z, X, Z, Y, T, X, T, Y ) }.
% 0.46/0.90 { ! eqangle( Z, X, Z, Y, T, X, T, Y ), coll( Z, T, X ), cyclic( X, Y, Z, T
% 0.46/0.90 ) }.
% 0.46/0.90 { ! eqangle( Z, X, Z, Y, T, X, T, Y ), ! coll( Z, T, Y ), cyclic( X, Y, Z,
% 0.46/0.90 T ) }.
% 0.46/0.90 { ! cyclic( X, Y, U, Z ), ! cyclic( X, Y, U, T ), ! cyclic( X, Y, U, W ), !
% 0.46/0.90 eqangle( U, X, U, Y, W, Z, W, T ), cong( X, Y, Z, T ) }.
% 0.46/0.90 { ! midp( Z, U, X ), ! midp( T, U, Y ), para( Z, T, X, Y ) }.
% 0.46/0.90 { ! midp( U, X, T ), ! para( U, Z, T, Y ), ! coll( Z, X, Y ), midp( Z, X, Y
% 0.46/0.90 ) }.
% 0.46/0.90 { ! cong( Z, X, Z, Y ), eqangle( Z, X, X, Y, X, Y, Z, Y ) }.
% 0.46/0.90 { ! eqangle( Z, X, X, Y, X, Y, Z, Y ), coll( Z, X, Y ), cong( Z, X, Z, Y )
% 0.46/0.90 }.
% 0.46/0.90 { ! circle( U, X, Y, Z ), ! perp( U, X, X, T ), eqangle( X, T, X, Y, Z, X,
% 0.46/0.90 Z, Y ) }.
% 0.46/0.90 { ! circle( Y, X, T, U ), ! eqangle( X, Z, X, T, U, X, U, T ), perp( Y, X,
% 0.46/0.90 X, Z ) }.
% 0.46/0.90 { ! circle( T, X, Y, Z ), ! midp( U, Y, Z ), eqangle( X, Y, X, Z, T, Y, T,
% 0.46/0.90 U ) }.
% 0.46/0.90 { ! circle( U, T, X, Y ), ! coll( Z, X, Y ), ! eqangle( T, X, T, Y, U, X, U
% 0.46/0.90 , Z ), midp( Z, X, Y ) }.
% 0.46/0.90 { ! perp( X, Y, Y, T ), ! midp( Z, X, T ), cong( X, Z, Y, Z ) }.
% 0.46/0.90 { ! circle( T, X, Y, Z ), ! coll( T, X, Z ), perp( X, Y, Y, Z ) }.
% 0.46/0.90 { ! cyclic( X, Y, Z, T ), ! para( X, Y, Z, T ), eqangle( X, T, Z, T, Z, T,
% 0.46/0.90 Z, Y ) }.
% 0.46/0.90 { ! midp( T, X, Y ), ! perp( Z, T, X, Y ), cong( Z, X, Z, Y ) }.
% 0.46/0.90 { ! cong( X, Z, Y, Z ), ! cong( X, T, Y, T ), perp( X, Y, Z, T ) }.
% 0.46/0.90 { ! cong( X, Y, T, Y ), ! cong( X, Z, T, Z ), ! cyclic( X, T, Y, Z ), perp
% 0.46/0.90 ( Y, X, X, Z ) }.
% 0.46/0.90 { ! eqangle( X, Y, Y, Z, T, U, U, W ), ! eqangle( X, Z, Y, Z, T, W, U, W )
% 0.46/0.90 , coll( X, Y, Z ), simtri( X, Y, Z, T, U, W ) }.
% 0.46/0.90 { ! simtri( X, Y, Z, T, U, W ), eqratio( X, Y, X, Z, T, U, T, W ) }.
% 0.46/0.90 { ! simtri( X, Y, Z, T, U, W ), eqangle( X, Y, Y, Z, T, U, U, W ) }.
% 0.46/0.90 { ! simtri( X, Y, Z, T, U, W ), ! cong( X, Y, T, U ), contri( X, Y, Z, T, U
% 0.46/0.90 , W ) }.
% 0.46/0.90 { ! contri( X, Y, U, Z, T, W ), cong( X, Y, Z, T ) }.
% 0.46/0.90 { ! midp( U, X, Y ), ! midp( U, Z, T ), para( X, Z, Y, T ) }.
% 0.46/0.90 { ! midp( Z, T, U ), ! para( T, X, U, Y ), ! para( T, Y, U, X ), midp( Z, X
% 0.46/0.90 , Y ) }.
% 0.46/0.90 { ! para( X, Y, Z, T ), ! coll( U, X, Z ), ! coll( U, Y, T ), eqratio( U, X
% 0.46/0.90 , X, Z, U, Y, Y, T ) }.
% 0.46/0.90 { ! para( X, Y, X, Z ), coll( X, Y, Z ) }.
% 0.46/0.90 { ! cong( X, Y, X, Z ), ! coll( X, Y, Z ), midp( X, Y, Z ) }.
% 0.46/0.90 { ! midp( X, Y, Z ), cong( X, Y, X, Z ) }.
% 0.46/0.90 { ! midp( X, Y, Z ), coll( X, Y, Z ) }.
% 0.46/0.90 { ! midp( U, X, Y ), ! midp( W, Z, T ), eqratio( U, X, X, Y, W, Z, Z, T ) }
% 0.46/0.90 .
% 0.46/0.90 { ! eqangle( X, Y, Z, T, Z, T, X, Y ), para( X, Y, Z, T ), perp( X, Y, Z, T
% 0.46/0.90 ) }.
% 0.46/0.90 { ! eqangle( X, Y, Z, T, Z, T, X, Y ), perp( X, Y, Z, T ), para( X, Y, Z, T
% 0.46/0.90 ) }.
% 0.46/0.90 { ! eqangle( X, Y, Z, T, U, W, V0, V1 ), ! para( U, W, V0, V1 ), para( X, Y
% 0.46/0.90 , Z, T ) }.
% 0.46/0.90 { ! eqangle( X, Y, Z, T, U, W, V0, V1 ), ! perp( U, W, V0, V1 ), perp( X, Y
% 0.46/0.90 , Z, T ) }.
% 0.46/0.90 { ! eqratio( X, Y, Z, T, U, W, V0, V1 ), ! cong( U, W, V0, V1 ), cong( X, Y
% 0.46/0.90 , Z, T ) }.
% 0.46/0.90 { ! perp( Z, Y, Y, X ), ! eqangle( T, Z, Y, Z, Y, Z, X, Z ), coll( skol1( U
% 0.46/0.90 , W, Z, T ), Z, T ) }.
% 0.46/0.90 { ! perp( Z, Y, Y, X ), ! eqangle( T, Z, Y, Z, Y, Z, X, Z ), coll( skol1( X
% 0.46/0.90 , Y, Z, T ), X, Y ) }.
% 0.46/0.90 { ! cong( Z, X, Z, Y ), ! eqangle( X, Z, Z, T, Z, T, Z, Y ), coll( skol2( U
% 0.46/0.90 , W, Z, T ), Z, T ) }.
% 0.46/0.90 { ! cong( Z, X, Z, Y ), ! eqangle( X, Z, Z, T, Z, T, Z, Y ), coll( Y, X,
% 0.46/0.90 skol2( X, Y, Z, T ) ) }.
% 0.46/0.90 { ! perp( Z, T, X, Y ), ! eqangle( X, Z, Z, T, Z, T, Z, Y ), coll( skol3( U
% 0.46/0.90 , W, Z, T ), Z, T ) }.
% 0.46/0.90 { ! perp( Z, T, X, Y ), ! eqangle( X, Z, Z, T, Z, T, Z, Y ), coll( Y, X,
% 0.46/0.90 skol3( X, Y, Z, T ) ) }.
% 0.46/0.90 { ! perp( Z, T, X, Y ), ! cong( Z, X, Z, Y ), coll( skol4( U, W, Z, T ), Z
% 0.46/0.90 , T ) }.
% 0.46/0.90 { ! perp( Z, T, X, Y ), ! cong( Z, X, Z, Y ), coll( Y, X, skol4( X, Y, Z, T
% 0.46/0.90 ) ) }.
% 0.46/0.90 { ! eqangle( X, Z, Y, Z, X, T, Y, U ), coll( X, Y, Z ), cyclic( T, Y, Z,
% 0.46/0.90 skol5( W, Y, Z, T ) ) }.
% 0.46/0.90 { ! eqangle( X, Z, Y, Z, X, T, Y, U ), coll( X, Y, Z ), eqangle( X, Z, Y, Z
% 0.46/0.90 , X, skol5( X, Y, Z, T ), Y, skol5( X, Y, Z, T ) ) }.
% 0.46/0.90 { ! midp( U, X, Y ), ! midp( W, Z, T ), midp( skol6( X, V0, V1, T, V2, V3 )
% 0.46/0.90 , X, T ) }.
% 0.46/0.90 { ! midp( U, X, Y ), ! midp( W, Z, T ), para( skol6( X, V0, Z, T, V1, W ),
% 0.46/0.90 W, X, Z ) }.
% 0.46/0.90 { ! midp( U, X, Y ), ! midp( W, Z, T ), para( skol6( X, Y, Z, T, U, W ), U
% 0.46/0.90 , Y, T ) }.
% 0.46/0.90 { ! midp( Z, X, Y ), ! midp( W, T, U ), ! coll( T, X, Y ), ! coll( U, X, Y
% 0.46/0.90 ), midp( skol7( X, V0 ), X, V0 ) }.
% 0.46/0.90 { ! midp( T, X, U ), ! para( X, W, Z, T ), ! para( X, W, U, Y ), ! coll( W
% 0.46/0.90 , Y, Z ), coll( skol8( V0, V1, Z, T ), T, Z ) }.
% 0.46/0.90 { ! midp( T, X, U ), ! para( X, W, Z, T ), ! para( X, W, U, Y ), ! coll( W
% 0.46/0.90 , Y, Z ), coll( skol8( X, Y, Z, T ), X, Y ) }.
% 0.46/0.90 { ! cong( T, Z, T, U ), ! perp( X, Y, Y, T ), cong( T, Z, T, skol9( W, V0,
% 0.46/0.90 Z, T ) ) }.
% 0.46/0.90 { ! cong( T, Z, T, U ), ! perp( X, Y, Y, T ), cong( Y, Z, Y, skol9( W, Y, Z
% 0.46/0.90 , T ) ) }.
% 0.46/0.90 { ! cong( T, Z, T, U ), ! perp( X, Y, Y, T ), para( skol9( X, Y, Z, T ), Z
% 0.46/0.90 , X, Y ) }.
% 0.46/0.90 { ! perp( X, T, Y, Z ), ! perp( Y, T, X, Z ), coll( skol10( U, Y, Z ), Z, Y
% 0.46/0.90 ) }.
% 0.46/0.90 { ! perp( X, T, Y, Z ), ! perp( Y, T, X, Z ), perp( X, skol10( X, Y, Z ), Z
% 0.46/0.90 , Y ) }.
% 0.46/0.90 { ! perp( X, T, Y, Z ), ! perp( Y, T, X, Z ), alpha1( X, Y, Z ) }.
% 0.46/0.90 { ! alpha1( X, Y, Z ), coll( skol11( X, T, Z ), Z, X ) }.
% 0.46/0.90 { ! alpha1( X, Y, Z ), perp( Y, skol11( X, Y, Z ), Z, X ) }.
% 0.46/0.90 { ! coll( T, Z, X ), ! perp( Y, T, Z, X ), alpha1( X, Y, Z ) }.
% 0.46/0.90 { ! circle( Y, X, Z, T ), perp( skol12( X, Y ), X, X, Y ) }.
% 1.78/2.20 { ! circle( W, X, Y, Z ), ! cong( W, X, W, T ), ! cong( U, X, U, Y ), W = U
% 1.78/2.20 , alpha2( X, Z, U, skol13( X, V0, Z, V1, U ) ) }.
% 1.78/2.20 { ! circle( W, X, Y, Z ), ! cong( W, X, W, T ), ! cong( U, X, U, Y ), W = U
% 1.78/2.20 , coll( skol21( V0, Y, T, V1 ), Y, T ) }.
% 1.78/2.20 { ! circle( W, X, Y, Z ), ! cong( W, X, W, T ), ! cong( U, X, U, Y ), W = U
% 1.78/2.20 , cong( skol21( X, Y, T, U ), U, U, X ) }.
% 1.78/2.20 { ! alpha2( X, Y, Z, T ), coll( T, X, Y ) }.
% 1.78/2.20 { ! alpha2( X, Y, Z, T ), cong( T, Z, Z, X ) }.
% 1.78/2.20 { ! coll( T, X, Y ), ! cong( T, Z, Z, X ), alpha2( X, Y, Z, T ) }.
% 1.78/2.20 { ! cyclic( X, Y, Z, T ), ! para( X, Y, Z, T ), ! midp( U, X, Y ), circle(
% 1.78/2.20 skol14( X, Y, Z ), X, Y, Z ) }.
% 1.78/2.20 { ! perp( X, Z, Z, Y ), ! cyclic( X, Y, Z, T ), circle( skol15( X, Y, Z ),
% 1.78/2.20 X, Y, Z ) }.
% 1.78/2.20 { ! perp( X, U, U, T ), ! coll( T, Y, Z ), coll( skol16( W, Y, Z ), Y, Z )
% 1.78/2.20 }.
% 1.78/2.20 { ! perp( X, U, U, T ), ! coll( T, Y, Z ), perp( skol16( X, Y, Z ), X, Y, Z
% 1.78/2.20 ) }.
% 1.78/2.20 { ! perp( X, Z, X, Y ), ! perp( Y, X, Y, T ), ! midp( U, Z, T ), midp(
% 1.78/2.20 skol17( X, Y ), X, Y ) }.
% 1.78/2.20 { ! cong( Y, X, Y, Z ), ! perp( X, Y, Y, Z ), coll( X, Y, skol18( X, Y ) )
% 1.78/2.20 }.
% 1.78/2.20 { ! cong( Y, X, Y, Z ), ! perp( X, Y, Y, Z ), cong( Y, X, Y, skol18( X, Y )
% 1.78/2.20 ) }.
% 1.78/2.20 { ! para( U, W, X, Y ), ! coll( Z, U, X ), ! coll( Z, W, Y ), ! coll( T, U
% 1.78/2.20 , W ), coll( Z, T, skol19( V0, V1, Z, T ) ) }.
% 1.78/2.20 { ! para( U, W, X, Y ), ! coll( Z, U, X ), ! coll( Z, W, Y ), ! coll( T, U
% 1.78/2.20 , W ), coll( skol19( X, Y, Z, T ), X, Y ) }.
% 1.78/2.20 { eqangle( skol27, skol24, skol24, skol25, skol27, skol24, skol24, skol26 )
% 1.78/2.20 }.
% 1.78/2.20 { eqangle( skol27, skol25, skol25, skol26, skol27, skol25, skol25, skol24 )
% 1.78/2.20 }.
% 1.78/2.20 { eqangle( skol27, skol26, skol26, skol24, skol27, skol26, skol26, skol25 )
% 1.78/2.20 }.
% 1.78/2.20 { perp( skol20, skol26, skol24, skol27 ) }.
% 1.78/2.20 { coll( skol20, skol24, skol27 ) }.
% 1.78/2.20 { perp( skol24, skol27, skol24, skol28 ) }.
% 1.78/2.20 { perp( skol22, skol26, skol24, skol28 ) }.
% 1.78/2.20 { coll( skol22, skol24, skol28 ) }.
% 1.78/2.20 { perp( skol23, skol26, skol25, skol27 ) }.
% 1.78/2.20 { coll( skol23, skol25, skol27 ) }.
% 1.78/2.20 { ! coll( skol20, skol23, skol22 ) }.
% 1.78/2.20
% 1.78/2.20 percentage equality = 0.008696, percentage horn = 0.929134
% 1.78/2.20 This is a problem with some equality
% 1.78/2.20
% 1.78/2.20
% 1.78/2.20
% 1.78/2.20 Options Used:
% 1.78/2.20
% 1.78/2.20 useres = 1
% 1.78/2.20 useparamod = 1
% 1.78/2.20 useeqrefl = 1
% 1.78/2.20 useeqfact = 1
% 1.78/2.20 usefactor = 1
% 1.78/2.20 usesimpsplitting = 0
% 1.78/2.20 usesimpdemod = 5
% 1.78/2.20 usesimpres = 3
% 1.78/2.20
% 1.78/2.20 resimpinuse = 1000
% 1.78/2.20 resimpclauses = 20000
% 1.78/2.20 substype = eqrewr
% 1.78/2.20 backwardsubs = 1
% 1.78/2.20 selectoldest = 5
% 1.78/2.20
% 1.78/2.20 litorderings [0] = split
% 1.78/2.20 litorderings [1] = extend the termordering, first sorting on arguments
% 1.78/2.20
% 1.78/2.20 termordering = kbo
% 1.78/2.20
% 1.78/2.20 litapriori = 0
% 1.78/2.20 termapriori = 1
% 1.78/2.20 litaposteriori = 0
% 1.78/2.20 termaposteriori = 0
% 1.78/2.20 demodaposteriori = 0
% 1.78/2.20 ordereqreflfact = 0
% 1.78/2.20
% 1.78/2.20 litselect = negord
% 1.78/2.20
% 1.78/2.20 maxweight = 15
% 1.78/2.20 maxdepth = 30000
% 1.78/2.20 maxlength = 115
% 1.78/2.20 maxnrvars = 195
% 1.78/2.20 excuselevel = 1
% 1.78/2.20 increasemaxweight = 1
% 1.78/2.20
% 1.78/2.20 maxselected = 10000000
% 1.78/2.20 maxnrclauses = 10000000
% 1.78/2.20
% 1.78/2.20 showgenerated = 0
% 1.78/2.20 showkept = 0
% 1.78/2.20 showselected = 0
% 1.78/2.20 showdeleted = 0
% 1.78/2.20 showresimp = 1
% 1.78/2.20 showstatus = 2000
% 1.78/2.20
% 1.78/2.20 prologoutput = 0
% 1.78/2.20 nrgoals = 5000000
% 1.78/2.20 totalproof = 1
% 1.78/2.20
% 1.78/2.20 Symbols occurring in the translation:
% 1.78/2.20
% 1.78/2.20 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 1.78/2.20 . [1, 2] (w:1, o:40, a:1, s:1, b:0),
% 1.78/2.20 ! [4, 1] (w:0, o:35, a:1, s:1, b:0),
% 1.78/2.20 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 1.78/2.20 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 1.78/2.20 coll [38, 3] (w:1, o:68, a:1, s:1, b:0),
% 1.78/2.20 para [40, 4] (w:1, o:76, a:1, s:1, b:0),
% 1.78/2.20 perp [43, 4] (w:1, o:77, a:1, s:1, b:0),
% 1.78/2.20 midp [45, 3] (w:1, o:69, a:1, s:1, b:0),
% 1.78/2.20 cong [47, 4] (w:1, o:78, a:1, s:1, b:0),
% 1.78/2.20 circle [48, 4] (w:1, o:79, a:1, s:1, b:0),
% 1.78/2.20 cyclic [49, 4] (w:1, o:80, a:1, s:1, b:0),
% 1.78/2.20 eqangle [54, 8] (w:1, o:95, a:1, s:1, b:0),
% 1.78/2.20 eqratio [57, 8] (w:1, o:96, a:1, s:1, b:0),
% 1.78/2.20 simtri [59, 6] (w:1, o:92, a:1, s:1, b:0),
% 1.78/2.20 contri [60, 6] (w:1, o:93, a:1, s:1, b:0),
% 1.78/2.20 alpha1 [67, 3] (w:1, o:70, a:1, s:1, b:1),
% 1.78/2.20 alpha2 [68, 4] (w:1, o:81, a:1, s:1, b:1),
% 1.78/2.20 skol1 [69, 4] (w:1, o:82, a:1, s:1, b:1),
% 1.78/2.20 skol2 [70, 4] (w:1, o:84, a:1, s:1, b:1),
% 1.78/2.20 skol3 [71, 4] (w:1, o:86, a:1, s:1, b:1),
% 1.78/2.20 skol4 [72, 4] (w:1, o:87, a:1, s:1, b:1),
% 1.78/2.20 skol5 [73, 4] (w:1, o:88, a:1, s:1, b:1),
% 1.78/2.20 skol6 [74, 6] (w:1, o:94, a:1, s:1, b:1),
% 1.78/2.20 skol7 [75, 2] (w:1, o:64, a:1, s:1, b:1),
% 1.78/2.20 skol8 [76, 4] (w:1, o:89, a:1, s:1, b:1),
% 1.78/2.20 skol9 [77, 4] (w:1, o:90, a:1, s:1, b:1),
% 1.78/2.20 skol10 [78, 3] (w:1, o:71, a:1, s:1, b:1),
% 1.78/2.20 skol11 [79, 3] (w:1, o:72, a:1, s:1, b:1),
% 1.78/2.20 skol12 [80, 2] (w:1, o:65, a:1, s:1, b:1),
% 1.78/2.20 skol13 [81, 5] (w:1, o:91, a:1, s:1, b:1),
% 1.78/2.20 skol14 [82, 3] (w:1, o:73, a:1, s:1, b:1),
% 1.78/2.20 skol15 [83, 3] (w:1, o:74, a:1, s:1, b:1),
% 1.78/2.20 skol16 [84, 3] (w:1, o:75, a:1, s:1, b:1),
% 1.78/2.20 skol17 [85, 2] (w:1, o:66, a:1, s:1, b:1),
% 1.78/2.20 skol18 [86, 2] (w:1, o:67, a:1, s:1, b:1),
% 1.78/2.20 skol19 [87, 4] (w:1, o:83, a:1, s:1, b:1),
% 1.78/2.20 skol20 [88, 0] (w:1, o:27, a:1, s:1, b:1),
% 1.78/2.20 skol21 [89, 4] (w:1, o:85, a:1, s:1, b:1),
% 1.78/2.20 skol22 [90, 0] (w:1, o:28, a:1, s:1, b:1),
% 1.78/2.20 skol23 [91, 0] (w:1, o:29, a:1, s:1, b:1),
% 1.78/2.20 skol24 [92, 0] (w:1, o:30, a:1, s:1, b:1),
% 1.78/2.20 skol25 [93, 0] (w:1, o:31, a:1, s:1, b:1),
% 1.78/2.20 skol26 [94, 0] (w:1, o:32, a:1, s:1, b:1),
% 1.78/2.20 skol27 [95, 0] (w:1, o:33, a:1, s:1, b:1),
% 1.78/2.20 skol28 [96, 0] (w:1, o:34, a:1, s:1, b:1).
% 1.78/2.20
% 1.78/2.20
% 1.78/2.20 Starting Search:
% 1.78/2.20
% 1.78/2.20 *** allocated 15000 integers for clauses
% 1.78/2.20 *** allocated 22500 integers for clauses
% 1.78/2.20 *** allocated 33750 integers for clauses
% 1.78/2.20 *** allocated 50625 integers for clauses
% 1.78/2.20 *** allocated 22500 integers for termspace/termends
% 1.78/2.20 *** allocated 75937 integers for clauses
% 1.78/2.20 Resimplifying inuse:
% 1.78/2.20 Done
% 1.78/2.20
% 1.78/2.20 *** allocated 33750 integers for termspace/termends
% 1.78/2.20 *** allocated 113905 integers for clauses
% 1.78/2.20 *** allocated 50625 integers for termspace/termends
% 1.78/2.20
% 1.78/2.20 Intermediate Status:
% 1.78/2.20 Generated: 13155
% 1.78/2.20 Kept: 2036
% 1.78/2.20 Inuse: 331
% 1.78/2.20 Deleted: 1
% 1.78/2.20 Deletedinuse: 1
% 1.78/2.20
% 1.78/2.20 Resimplifying inuse:
% 1.78/2.20 Done
% 1.78/2.20
% 1.78/2.20 *** allocated 170857 integers for clauses
% 1.78/2.20 *** allocated 75937 integers for termspace/termends
% 1.78/2.20 Resimplifying inuse:
% 1.78/2.20 Done
% 1.78/2.20
% 1.78/2.20 *** allocated 256285 integers for clauses
% 1.78/2.20 *** allocated 113905 integers for termspace/termends
% 1.78/2.20
% 1.78/2.20 Intermediate Status:
% 1.78/2.20 Generated: 25798
% 1.78/2.20 Kept: 4039
% 1.78/2.20 Inuse: 470
% 1.78/2.20 Deleted: 1
% 1.78/2.20 Deletedinuse: 1
% 1.78/2.20
% 1.78/2.20 Resimplifying inuse:
% 1.78/2.20 Done
% 1.78/2.20
% 1.78/2.20 *** allocated 384427 integers for clauses
% 1.78/2.20 Resimplifying inuse:
% 1.78/2.20 Done
% 1.78/2.20
% 1.78/2.20 *** allocated 170857 integers for termspace/termends
% 1.78/2.20
% 1.78/2.20 Intermediate Status:
% 1.78/2.20 Generated: 36895
% 1.78/2.20 Kept: 6205
% 1.78/2.20 Inuse: 546
% 1.78/2.20 Deleted: 1
% 1.78/2.20 Deletedinuse: 1
% 1.78/2.20
% 1.78/2.20 Resimplifying inuse:
% 1.78/2.20 Done
% 1.78/2.20
% 1.78/2.20 Resimplifying inuse:
% 1.78/2.20 Done
% 1.78/2.20
% 1.78/2.20 *** allocated 576640 integers for clauses
% 1.78/2.20
% 1.78/2.20 Intermediate Status:
% 1.78/2.20 Generated: 57145
% 1.78/2.20 Kept: 8207
% 1.78/2.20 Inuse: 735
% 1.78/2.20 Deleted: 2
% 1.78/2.20 Deletedinuse: 1
% 1.78/2.20
% 1.78/2.20 Resimplifying inuse:
% 1.78/2.20 Done
% 1.78/2.20
% 1.78/2.20 *** allocated 256285 integers for termspace/termends
% 1.78/2.20 Resimplifying inuse:
% 1.78/2.20 Done
% 1.78/2.20
% 1.78/2.20
% 1.78/2.20 Intermediate Status:
% 1.78/2.20 Generated: 74998
% 1.78/2.20 Kept: 10222
% 1.78/2.20 Inuse: 829
% 1.78/2.20 Deleted: 33
% 1.78/2.20 Deletedinuse: 31
% 1.78/2.20
% 1.78/2.20 Resimplifying inuse:
% 1.78/2.20 Done
% 1.78/2.20
% 1.78/2.20 Resimplifying inuse:
% 1.78/2.20 Done
% 1.78/2.20
% 1.78/2.20 *** allocated 864960 integers for clauses
% 1.78/2.20
% 1.78/2.20 Intermediate Status:
% 1.78/2.20 Generated: 83813
% 1.78/2.20 Kept: 12233
% 1.78/2.20 Inuse: 877
% 1.78/2.20 Deleted: 64
% 1.78/2.20 Deletedinuse: 58
% 1.78/2.20
% 1.78/2.20 Resimplifying inuse:
% 1.78/2.20 Done
% 1.78/2.20
% 1.78/2.20 Resimplifying inuse:
% 1.78/2.20 Done
% 1.78/2.20
% 1.78/2.20
% 1.78/2.20 Intermediate Status:
% 1.78/2.20 Generated: 96553
% 1.78/2.20 Kept: 14248
% 1.78/2.20 Inuse: 1132
% 1.78/2.20 Deleted: 141
% 1.78/2.20 Deletedinuse: 117
% 1.78/2.20
% 1.78/2.20 Resimplifying inuse:
% 1.78/2.20 Done
% 1.78/2.20
% 1.78/2.20 *** allocated 384427 integers for termspace/termends
% 1.78/2.20 Resimplifying inuse:
% 1.78/2.20 Done
% 1.78/2.20
% 1.78/2.20
% 1.78/2.20 Bliksems!, er is een bewijs:
% 1.78/2.20 % SZS status Theorem
% 1.78/2.20 % SZS output start Refutation
% 1.78/2.20
% 1.78/2.20 (0) {G0,W8,D2,L2,V3,M2} I { ! coll( X, Y, Z ), coll( X, Z, Y ) }.
% 1.78/2.20 (1) {G0,W8,D2,L2,V3,M2} I { ! coll( X, Y, Z ), coll( Y, X, Z ) }.
% 1.78/2.20 (2) {G0,W12,D2,L3,V4,M3} I { ! coll( X, T, Y ), ! coll( X, T, Z ), coll( Y
% 1.78/2.20 , Z, X ) }.
% 1.78/2.20 (120) {G0,W4,D2,L1,V0,M1} I { coll( skol20, skol24, skol27 ) }.
% 1.78/2.20 (123) {G0,W4,D2,L1,V0,M1} I { coll( skol22, skol24, skol28 ) }.
% 1.78/2.20 (125) {G0,W4,D2,L1,V0,M1} I { coll( skol23, skol25, skol27 ) }.
% 1.78/2.20 (126) {G0,W4,D2,L1,V0,M1} I { ! coll( skol20, skol23, skol22 ) }.
% 1.78/2.20 (127) {G1,W8,D2,L2,V3,M2} F(2) { ! coll( X, Y, Z ), coll( Z, Z, X ) }.
% 1.78/2.20 (164) {G1,W4,D2,L1,V0,M1} R(0,120) { coll( skol20, skol27, skol24 ) }.
% 1.78/2.20 (165) {G1,W4,D2,L1,V0,M1} R(0,123) { coll( skol22, skol28, skol24 ) }.
% 1.78/2.20 (167) {G1,W4,D2,L1,V0,M1} R(0,126) { ! coll( skol20, skol22, skol23 ) }.
% 1.78/2.20 (168) {G2,W4,D2,L1,V0,M1} R(1,167) { ! coll( skol22, skol20, skol23 ) }.
% 1.78/2.20 (170) {G2,W4,D2,L1,V0,M1} R(1,165) { coll( skol28, skol22, skol24 ) }.
% 1.78/2.20 (171) {G2,W4,D2,L1,V0,M1} R(1,164) { coll( skol27, skol20, skol24 ) }.
% 1.78/2.20 (173) {G1,W8,D2,L2,V3,M2} R(1,0) { ! coll( X, Y, Z ), coll( Y, Z, X ) }.
% 1.78/2.20 (175) {G1,W4,D2,L1,V0,M1} R(1,123) { coll( skol24, skol22, skol28 ) }.
% 1.78/2.20 (186) {G3,W8,D2,L2,V1,M2} R(2,168) { ! coll( skol23, X, skol22 ), ! coll(
% 1.78/2.20 skol23, X, skol20 ) }.
% 1.78/2.20 (197) {G1,W12,D2,L3,V4,M3} R(2,0) { ! coll( X, Y, Z ), ! coll( X, Y, T ),
% 1.78/2.20 coll( Z, X, T ) }.
% 1.78/2.20 (205) {G2,W8,D2,L2,V3,M2} F(197) { ! coll( X, Y, Z ), coll( Z, X, Z ) }.
% 1.78/2.20 (215) {G3,W4,D2,L1,V0,M1} R(170,0) { coll( skol28, skol24, skol22 ) }.
% 1.78/2.20 (218) {G4,W4,D2,L1,V0,M1} R(215,1) { coll( skol24, skol28, skol22 ) }.
% 1.78/2.20 (219) {G5,W8,D2,L2,V1,M2} R(218,2) { ! coll( skol24, skol28, X ), coll(
% 1.78/2.20 skol22, X, skol24 ) }.
% 1.78/2.20 (247) {G3,W4,D2,L1,V0,M1} R(205,175) { coll( skol28, skol24, skol28 ) }.
% 1.78/2.20 (251) {G3,W4,D2,L1,V0,M1} R(205,171) { coll( skol24, skol27, skol24 ) }.
% 1.78/2.20 (254) {G3,W4,D2,L1,V0,M1} R(205,170) { coll( skol24, skol28, skol24 ) }.
% 1.78/2.20 (257) {G3,W12,D2,L3,V4,M3} R(205,2) { coll( X, Y, X ), ! coll( X, Z, Y ), !
% 1.78/2.20 coll( X, Z, T ) }.
% 1.78/2.20 (265) {G3,W8,D2,L2,V3,M2} R(205,0) { coll( X, Y, X ), ! coll( Y, X, Z ) }.
% 1.78/2.20 (266) {G3,W4,D2,L1,V0,M1} R(205,120) { coll( skol27, skol20, skol27 ) }.
% 1.78/2.20 (268) {G3,W4,D2,L1,V0,M1} R(205,125) { coll( skol27, skol23, skol27 ) }.
% 1.78/2.20 (269) {G4,W8,D2,L2,V3,M2} F(257) { coll( X, Y, X ), ! coll( X, Z, Y ) }.
% 1.78/2.20 (290) {G4,W4,D2,L1,V0,M1} R(247,0) { coll( skol28, skol28, skol24 ) }.
% 1.78/2.20 (292) {G5,W8,D2,L2,V1,M2} R(290,2) { ! coll( skol28, skol28, X ), coll(
% 1.78/2.20 skol24, X, skol28 ) }.
% 1.78/2.20 (347) {G4,W4,D2,L1,V0,M1} R(251,0) { coll( skol24, skol24, skol27 ) }.
% 1.78/2.20 (349) {G5,W8,D2,L2,V1,M2} R(347,2) { ! coll( skol24, skol24, X ), coll(
% 1.78/2.20 skol27, X, skol24 ) }.
% 1.78/2.20 (366) {G4,W4,D2,L1,V0,M1} R(254,0) { coll( skol24, skol24, skol28 ) }.
% 1.78/2.20 (441) {G4,W4,D2,L1,V0,M1} R(266,0) { coll( skol27, skol27, skol20 ) }.
% 1.78/2.20 (456) {G4,W4,D2,L1,V0,M1} R(268,0) { coll( skol27, skol27, skol23 ) }.
% 1.78/2.20 (470) {G5,W8,D2,L2,V1,M2} R(456,2) { ! coll( skol27, skol27, X ), coll(
% 1.78/2.20 skol23, X, skol27 ) }.
% 1.78/2.20 (633) {G5,W8,D2,L2,V3,M2} R(269,1) { ! coll( X, Y, Z ), coll( Z, X, X ) }.
% 1.78/2.20 (639) {G6,W8,D2,L2,V3,M2} R(633,0) { coll( X, Y, Y ), ! coll( Y, X, Z ) }.
% 1.78/2.20 (643) {G7,W8,D2,L2,V3,M2} R(639,639) { ! coll( X, Y, Z ), coll( X, Y, Y )
% 1.78/2.20 }.
% 1.78/2.20 (646) {G8,W12,D2,L3,V4,M3} R(643,2) { ! coll( X, Y, Z ), ! coll( X, Y, T )
% 1.78/2.20 , coll( T, Y, X ) }.
% 1.78/2.20 (647) {G9,W8,D2,L2,V3,M2} F(646) { ! coll( X, Y, Z ), coll( Z, Y, X ) }.
% 1.78/2.20 (648) {G10,W8,D2,L2,V3,M2} R(647,643) { coll( X, X, Y ), ! coll( Y, X, Z )
% 1.78/2.20 }.
% 1.78/2.20 (649) {G10,W8,D2,L2,V3,M2} R(647,639) { coll( X, X, Y ), ! coll( X, Y, Z )
% 1.78/2.20 }.
% 1.78/2.20 (915) {G6,W8,D2,L2,V2,M2} R(470,127) { coll( skol23, X, skol27 ), ! coll( X
% 1.78/2.20 , Y, skol27 ) }.
% 1.78/2.20 (940) {G6,W4,D2,L1,V0,M1} R(470,441) { coll( skol23, skol20, skol27 ) }.
% 1.78/2.20 (950) {G11,W4,D2,L1,V0,M1} R(940,649) { coll( skol23, skol23, skol20 ) }.
% 1.78/2.20 (1245) {G7,W8,D2,L2,V2,M2} R(915,173) { ! coll( X, Y, skol27 ), coll( X,
% 1.78/2.20 skol27, skol23 ) }.
% 1.78/2.20 (1258) {G8,W8,D2,L2,V2,M2} R(1245,127) { coll( X, skol27, skol23 ), ! coll
% 1.78/2.20 ( skol27, Y, X ) }.
% 1.78/2.20 (1287) {G9,W8,D2,L2,V2,M2} R(1258,127) { ! coll( skol27, X, Y ), coll(
% 1.78/2.20 skol23, skol23, Y ) }.
% 1.78/2.20 (1305) {G10,W8,D2,L2,V2,M2} R(1287,173) { coll( skol23, skol23, X ), ! coll
% 1.78/2.20 ( X, skol27, Y ) }.
% 1.78/2.20 (1795) {G11,W8,D2,L2,V2,M2} R(1305,127) { ! coll( X, skol27, Y ), coll( X,
% 1.78/2.20 X, skol23 ) }.
% 1.78/2.20 (1805) {G12,W8,D2,L2,V2,M2} R(1795,265) { coll( X, X, skol23 ), ! coll(
% 1.78/2.20 skol27, X, Y ) }.
% 1.78/2.20 (9546) {G12,W4,D2,L1,V1,M1} R(186,648);r(950) { ! coll( skol22, skol23, X )
% 1.78/2.20 }.
% 1.78/2.20 (12638) {G13,W4,D2,L1,V0,M1} R(219,9546) { ! coll( skol24, skol28, skol23 )
% 1.78/2.20 }.
% 1.78/2.20 (12794) {G14,W4,D2,L1,V0,M1} R(12638,0) { ! coll( skol24, skol23, skol28 )
% 1.78/2.20 }.
% 1.78/2.20 (13781) {G15,W4,D2,L1,V1,M1} R(292,1805);r(12794) { ! coll( skol27, skol28
% 1.78/2.20 , X ) }.
% 1.78/2.20 (15823) {G16,W0,D0,L0,V0,M0} R(349,13781);r(366) { }.
% 1.78/2.20
% 1.78/2.20
% 1.78/2.20 % SZS output end Refutation
% 1.78/2.20 found a proof!
% 1.78/2.20
% 1.78/2.20
% 1.78/2.20 Unprocessed initial clauses:
% 1.78/2.20
% 1.78/2.20 (15825) {G0,W8,D2,L2,V3,M2} { ! coll( X, Y, Z ), coll( X, Z, Y ) }.
% 1.78/2.20 (15826) {G0,W8,D2,L2,V3,M2} { ! coll( X, Y, Z ), coll( Y, X, Z ) }.
% 1.78/2.20 (15827) {G0,W12,D2,L3,V4,M3} { ! coll( X, T, Y ), ! coll( X, T, Z ), coll
% 1.78/2.20 ( Y, Z, X ) }.
% 1.78/2.20 (15828) {G0,W10,D2,L2,V4,M2} { ! para( X, Y, Z, T ), para( X, Y, T, Z )
% 1.78/2.20 }.
% 1.78/2.20 (15829) {G0,W10,D2,L2,V4,M2} { ! para( X, Y, Z, T ), para( Z, T, X, Y )
% 1.78/2.20 }.
% 1.78/2.20 (15830) {G0,W15,D2,L3,V6,M3} { ! para( X, Y, U, W ), ! para( U, W, Z, T )
% 1.78/2.20 , para( X, Y, Z, T ) }.
% 1.78/2.20 (15831) {G0,W10,D2,L2,V4,M2} { ! perp( X, Y, Z, T ), perp( X, Y, T, Z )
% 1.78/2.20 }.
% 1.78/2.20 (15832) {G0,W10,D2,L2,V4,M2} { ! perp( X, Y, Z, T ), perp( Z, T, X, Y )
% 1.78/2.20 }.
% 1.78/2.20 (15833) {G0,W15,D2,L3,V6,M3} { ! perp( X, Y, U, W ), ! perp( U, W, Z, T )
% 1.78/2.20 , para( X, Y, Z, T ) }.
% 1.78/2.20 (15834) {G0,W15,D2,L3,V6,M3} { ! para( X, Y, U, W ), ! perp( U, W, Z, T )
% 1.78/2.20 , perp( X, Y, Z, T ) }.
% 1.78/2.20 (15835) {G0,W8,D2,L2,V3,M2} { ! midp( Z, Y, X ), midp( Z, X, Y ) }.
% 1.78/2.20 (15836) {G0,W15,D2,L3,V4,M3} { ! cong( T, X, T, Y ), ! cong( T, X, T, Z )
% 1.78/2.20 , circle( T, X, Y, Z ) }.
% 1.78/2.20 (15837) {G0,W20,D2,L4,V5,M4} { ! cong( U, X, U, Y ), ! cong( U, X, U, Z )
% 1.78/2.20 , ! cong( U, X, U, T ), cyclic( X, Y, Z, T ) }.
% 1.78/2.20 (15838) {G0,W10,D2,L2,V4,M2} { ! cyclic( X, Y, Z, T ), cyclic( X, Y, T, Z
% 1.78/2.20 ) }.
% 1.78/2.20 (15839) {G0,W10,D2,L2,V4,M2} { ! cyclic( X, Y, Z, T ), cyclic( X, Z, Y, T
% 1.78/2.20 ) }.
% 1.78/2.20 (15840) {G0,W10,D2,L2,V4,M2} { ! cyclic( X, Y, Z, T ), cyclic( Y, X, Z, T
% 1.78/2.20 ) }.
% 1.78/2.20 (15841) {G0,W15,D2,L3,V5,M3} { ! cyclic( U, X, Y, Z ), ! cyclic( U, X, Y,
% 1.78/2.20 T ), cyclic( X, Y, Z, T ) }.
% 1.78/2.20 (15842) {G0,W18,D2,L2,V8,M2} { ! eqangle( X, Y, Z, T, U, W, V0, V1 ),
% 1.78/2.20 eqangle( Y, X, Z, T, U, W, V0, V1 ) }.
% 1.78/2.20 (15843) {G0,W18,D2,L2,V8,M2} { ! eqangle( X, Y, Z, T, U, W, V0, V1 ),
% 1.78/2.20 eqangle( Z, T, X, Y, V0, V1, U, W ) }.
% 1.78/2.20 (15844) {G0,W18,D2,L2,V8,M2} { ! eqangle( X, Y, Z, T, U, W, V0, V1 ),
% 1.78/2.20 eqangle( U, W, V0, V1, X, Y, Z, T ) }.
% 1.78/2.20 (15845) {G0,W18,D2,L2,V8,M2} { ! eqangle( X, Y, Z, T, U, W, V0, V1 ),
% 1.78/2.20 eqangle( X, Y, U, W, Z, T, V0, V1 ) }.
% 1.78/2.20 (15846) {G0,W27,D2,L3,V12,M3} { ! eqangle( X, Y, Z, T, V2, V3, V4, V5 ), !
% 1.78/2.20 eqangle( V2, V3, V4, V5, U, W, V0, V1 ), eqangle( X, Y, Z, T, U, W, V0,
% 1.78/2.20 V1 ) }.
% 1.78/2.20 (15847) {G0,W10,D2,L2,V4,M2} { ! cong( X, Y, Z, T ), cong( X, Y, T, Z )
% 1.78/2.20 }.
% 1.78/2.20 (15848) {G0,W10,D2,L2,V4,M2} { ! cong( X, Y, Z, T ), cong( Z, T, X, Y )
% 1.78/2.20 }.
% 1.78/2.20 (15849) {G0,W15,D2,L3,V6,M3} { ! cong( X, Y, U, W ), ! cong( U, W, Z, T )
% 1.78/2.20 , cong( X, Y, Z, T ) }.
% 1.78/2.20 (15850) {G0,W18,D2,L2,V8,M2} { ! eqratio( X, Y, Z, T, U, W, V0, V1 ),
% 1.78/2.20 eqratio( Y, X, Z, T, U, W, V0, V1 ) }.
% 1.78/2.20 (15851) {G0,W18,D2,L2,V8,M2} { ! eqratio( X, Y, Z, T, U, W, V0, V1 ),
% 1.78/2.20 eqratio( Z, T, X, Y, V0, V1, U, W ) }.
% 1.78/2.20 (15852) {G0,W18,D2,L2,V8,M2} { ! eqratio( X, Y, Z, T, U, W, V0, V1 ),
% 1.78/2.20 eqratio( U, W, V0, V1, X, Y, Z, T ) }.
% 1.78/2.20 (15853) {G0,W18,D2,L2,V8,M2} { ! eqratio( X, Y, Z, T, U, W, V0, V1 ),
% 1.78/2.20 eqratio( X, Y, U, W, Z, T, V0, V1 ) }.
% 1.78/2.20 (15854) {G0,W27,D2,L3,V12,M3} { ! eqratio( X, Y, Z, T, V2, V3, V4, V5 ), !
% 1.78/2.20 eqratio( V2, V3, V4, V5, U, W, V0, V1 ), eqratio( X, Y, Z, T, U, W, V0,
% 1.78/2.20 V1 ) }.
% 1.78/2.20 (15855) {G0,W14,D2,L2,V6,M2} { ! simtri( X, Z, Y, T, W, U ), simtri( X, Y
% 1.78/2.20 , Z, T, U, W ) }.
% 1.78/2.20 (15856) {G0,W14,D2,L2,V6,M2} { ! simtri( Y, X, Z, U, T, W ), simtri( X, Y
% 1.78/2.20 , Z, T, U, W ) }.
% 1.78/2.20 (15857) {G0,W14,D2,L2,V6,M2} { ! simtri( T, U, W, X, Y, Z ), simtri( X, Y
% 1.78/2.20 , Z, T, U, W ) }.
% 1.78/2.20 (15858) {G0,W21,D2,L3,V9,M3} { ! simtri( X, Y, Z, V0, V1, V2 ), ! simtri(
% 1.78/2.20 V0, V1, V2, T, U, W ), simtri( X, Y, Z, T, U, W ) }.
% 1.78/2.20 (15859) {G0,W14,D2,L2,V6,M2} { ! contri( X, Z, Y, T, W, U ), contri( X, Y
% 1.78/2.20 , Z, T, U, W ) }.
% 1.78/2.20 (15860) {G0,W14,D2,L2,V6,M2} { ! contri( Y, X, Z, U, T, W ), contri( X, Y
% 1.78/2.20 , Z, T, U, W ) }.
% 1.78/2.20 (15861) {G0,W14,D2,L2,V6,M2} { ! contri( T, U, W, X, Y, Z ), contri( X, Y
% 1.78/2.20 , Z, T, U, W ) }.
% 1.78/2.20 (15862) {G0,W21,D2,L3,V9,M3} { ! contri( X, Y, Z, V0, V1, V2 ), ! contri(
% 1.78/2.20 V0, V1, V2, T, U, W ), contri( X, Y, Z, T, U, W ) }.
% 1.78/2.20 (15863) {G0,W14,D2,L2,V6,M2} { ! eqangle( X, Y, U, W, Z, T, U, W ), para(
% 1.78/2.20 X, Y, Z, T ) }.
% 1.78/2.20 (15864) {G0,W14,D2,L2,V6,M2} { ! para( X, Y, Z, T ), eqangle( X, Y, U, W,
% 1.78/2.20 Z, T, U, W ) }.
% 1.78/2.20 (15865) {G0,W14,D2,L2,V4,M2} { ! cyclic( X, Y, Z, T ), eqangle( Z, X, Z, Y
% 1.78/2.20 , T, X, T, Y ) }.
% 1.78/2.20 (15866) {G0,W18,D2,L3,V4,M3} { ! eqangle( Z, X, Z, Y, T, X, T, Y ), coll(
% 1.78/2.20 Z, T, X ), cyclic( X, Y, Z, T ) }.
% 1.78/2.20 (15867) {G0,W18,D2,L3,V4,M3} { ! eqangle( Z, X, Z, Y, T, X, T, Y ), ! coll
% 1.78/2.20 ( Z, T, Y ), cyclic( X, Y, Z, T ) }.
% 1.78/2.20 (15868) {G0,W29,D2,L5,V6,M5} { ! cyclic( X, Y, U, Z ), ! cyclic( X, Y, U,
% 1.78/2.20 T ), ! cyclic( X, Y, U, W ), ! eqangle( U, X, U, Y, W, Z, W, T ), cong( X
% 1.78/2.20 , Y, Z, T ) }.
% 1.78/2.20 (15869) {G0,W13,D2,L3,V5,M3} { ! midp( Z, U, X ), ! midp( T, U, Y ), para
% 1.78/2.20 ( Z, T, X, Y ) }.
% 1.78/2.20 (15870) {G0,W17,D2,L4,V5,M4} { ! midp( U, X, T ), ! para( U, Z, T, Y ), !
% 1.78/2.20 coll( Z, X, Y ), midp( Z, X, Y ) }.
% 1.78/2.20 (15871) {G0,W14,D2,L2,V3,M2} { ! cong( Z, X, Z, Y ), eqangle( Z, X, X, Y,
% 1.78/2.20 X, Y, Z, Y ) }.
% 1.78/2.20 (15872) {G0,W18,D2,L3,V3,M3} { ! eqangle( Z, X, X, Y, X, Y, Z, Y ), coll(
% 1.78/2.20 Z, X, Y ), cong( Z, X, Z, Y ) }.
% 1.78/2.20 (15873) {G0,W19,D2,L3,V5,M3} { ! circle( U, X, Y, Z ), ! perp( U, X, X, T
% 1.78/2.20 ), eqangle( X, T, X, Y, Z, X, Z, Y ) }.
% 1.78/2.20 (15874) {G0,W19,D2,L3,V5,M3} { ! circle( Y, X, T, U ), ! eqangle( X, Z, X
% 1.78/2.20 , T, U, X, U, T ), perp( Y, X, X, Z ) }.
% 1.78/2.20 (15875) {G0,W18,D2,L3,V5,M3} { ! circle( T, X, Y, Z ), ! midp( U, Y, Z ),
% 1.78/2.20 eqangle( X, Y, X, Z, T, Y, T, U ) }.
% 1.78/2.20 (15876) {G0,W22,D2,L4,V5,M4} { ! circle( U, T, X, Y ), ! coll( Z, X, Y ),
% 1.78/2.20 ! eqangle( T, X, T, Y, U, X, U, Z ), midp( Z, X, Y ) }.
% 1.78/2.20 (15877) {G0,W14,D2,L3,V4,M3} { ! perp( X, Y, Y, T ), ! midp( Z, X, T ),
% 1.78/2.20 cong( X, Z, Y, Z ) }.
% 1.78/2.20 (15878) {G0,W14,D2,L3,V4,M3} { ! circle( T, X, Y, Z ), ! coll( T, X, Z ),
% 1.78/2.20 perp( X, Y, Y, Z ) }.
% 1.78/2.20 (15879) {G0,W19,D2,L3,V4,M3} { ! cyclic( X, Y, Z, T ), ! para( X, Y, Z, T
% 1.78/2.20 ), eqangle( X, T, Z, T, Z, T, Z, Y ) }.
% 1.78/2.20 (15880) {G0,W14,D2,L3,V4,M3} { ! midp( T, X, Y ), ! perp( Z, T, X, Y ),
% 1.78/2.20 cong( Z, X, Z, Y ) }.
% 1.78/2.20 (15881) {G0,W15,D2,L3,V4,M3} { ! cong( X, Z, Y, Z ), ! cong( X, T, Y, T )
% 1.78/2.20 , perp( X, Y, Z, T ) }.
% 1.78/2.20 (15882) {G0,W20,D2,L4,V4,M4} { ! cong( X, Y, T, Y ), ! cong( X, Z, T, Z )
% 1.78/2.20 , ! cyclic( X, T, Y, Z ), perp( Y, X, X, Z ) }.
% 1.78/2.20 (15883) {G0,W29,D2,L4,V6,M4} { ! eqangle( X, Y, Y, Z, T, U, U, W ), !
% 1.78/2.20 eqangle( X, Z, Y, Z, T, W, U, W ), coll( X, Y, Z ), simtri( X, Y, Z, T, U
% 1.78/2.20 , W ) }.
% 1.78/2.20 (15884) {G0,W16,D2,L2,V6,M2} { ! simtri( X, Y, Z, T, U, W ), eqratio( X, Y
% 1.78/2.20 , X, Z, T, U, T, W ) }.
% 1.78/2.20 (15885) {G0,W16,D2,L2,V6,M2} { ! simtri( X, Y, Z, T, U, W ), eqangle( X, Y
% 1.78/2.20 , Y, Z, T, U, U, W ) }.
% 1.78/2.20 (15886) {G0,W19,D2,L3,V6,M3} { ! simtri( X, Y, Z, T, U, W ), ! cong( X, Y
% 1.78/2.20 , T, U ), contri( X, Y, Z, T, U, W ) }.
% 1.78/2.20 (15887) {G0,W12,D2,L2,V6,M2} { ! contri( X, Y, U, Z, T, W ), cong( X, Y, Z
% 1.78/2.20 , T ) }.
% 1.78/2.20 (15888) {G0,W13,D2,L3,V5,M3} { ! midp( U, X, Y ), ! midp( U, Z, T ), para
% 1.78/2.20 ( X, Z, Y, T ) }.
% 1.78/2.20 (15889) {G0,W18,D2,L4,V5,M4} { ! midp( Z, T, U ), ! para( T, X, U, Y ), !
% 1.78/2.20 para( T, Y, U, X ), midp( Z, X, Y ) }.
% 1.78/2.20 (15890) {G0,W22,D2,L4,V5,M4} { ! para( X, Y, Z, T ), ! coll( U, X, Z ), !
% 1.78/2.20 coll( U, Y, T ), eqratio( U, X, X, Z, U, Y, Y, T ) }.
% 1.78/2.20 (15891) {G0,W9,D2,L2,V3,M2} { ! para( X, Y, X, Z ), coll( X, Y, Z ) }.
% 1.78/2.20 (15892) {G0,W13,D2,L3,V3,M3} { ! cong( X, Y, X, Z ), ! coll( X, Y, Z ),
% 1.78/2.20 midp( X, Y, Z ) }.
% 1.78/2.20 (15893) {G0,W9,D2,L2,V3,M2} { ! midp( X, Y, Z ), cong( X, Y, X, Z ) }.
% 1.78/2.20 (15894) {G0,W8,D2,L2,V3,M2} { ! midp( X, Y, Z ), coll( X, Y, Z ) }.
% 1.78/2.20 (15895) {G0,W17,D2,L3,V6,M3} { ! midp( U, X, Y ), ! midp( W, Z, T ),
% 1.78/2.20 eqratio( U, X, X, Y, W, Z, Z, T ) }.
% 1.78/2.20 (15896) {G0,W19,D2,L3,V4,M3} { ! eqangle( X, Y, Z, T, Z, T, X, Y ), para(
% 1.78/2.20 X, Y, Z, T ), perp( X, Y, Z, T ) }.
% 1.78/2.20 (15897) {G0,W19,D2,L3,V4,M3} { ! eqangle( X, Y, Z, T, Z, T, X, Y ), perp(
% 1.78/2.20 X, Y, Z, T ), para( X, Y, Z, T ) }.
% 1.78/2.20 (15898) {G0,W19,D2,L3,V8,M3} { ! eqangle( X, Y, Z, T, U, W, V0, V1 ), !
% 1.78/2.20 para( U, W, V0, V1 ), para( X, Y, Z, T ) }.
% 1.78/2.20 (15899) {G0,W19,D2,L3,V8,M3} { ! eqangle( X, Y, Z, T, U, W, V0, V1 ), !
% 1.78/2.20 perp( U, W, V0, V1 ), perp( X, Y, Z, T ) }.
% 1.78/2.20 (15900) {G0,W19,D2,L3,V8,M3} { ! eqratio( X, Y, Z, T, U, W, V0, V1 ), !
% 1.78/2.20 cong( U, W, V0, V1 ), cong( X, Y, Z, T ) }.
% 1.78/2.20 (15901) {G0,W22,D3,L3,V6,M3} { ! perp( Z, Y, Y, X ), ! eqangle( T, Z, Y, Z
% 1.78/2.20 , Y, Z, X, Z ), coll( skol1( U, W, Z, T ), Z, T ) }.
% 1.78/2.20 (15902) {G0,W22,D3,L3,V4,M3} { ! perp( Z, Y, Y, X ), ! eqangle( T, Z, Y, Z
% 1.78/2.20 , Y, Z, X, Z ), coll( skol1( X, Y, Z, T ), X, Y ) }.
% 1.78/2.20 (15903) {G0,W22,D3,L3,V6,M3} { ! cong( Z, X, Z, Y ), ! eqangle( X, Z, Z, T
% 1.78/2.20 , Z, T, Z, Y ), coll( skol2( U, W, Z, T ), Z, T ) }.
% 1.78/2.20 (15904) {G0,W22,D3,L3,V4,M3} { ! cong( Z, X, Z, Y ), ! eqangle( X, Z, Z, T
% 1.78/2.20 , Z, T, Z, Y ), coll( Y, X, skol2( X, Y, Z, T ) ) }.
% 1.78/2.20 (15905) {G0,W22,D3,L3,V6,M3} { ! perp( Z, T, X, Y ), ! eqangle( X, Z, Z, T
% 1.78/2.20 , Z, T, Z, Y ), coll( skol3( U, W, Z, T ), Z, T ) }.
% 1.78/2.20 (15906) {G0,W22,D3,L3,V4,M3} { ! perp( Z, T, X, Y ), ! eqangle( X, Z, Z, T
% 1.78/2.20 , Z, T, Z, Y ), coll( Y, X, skol3( X, Y, Z, T ) ) }.
% 1.78/2.20 (15907) {G0,W18,D3,L3,V6,M3} { ! perp( Z, T, X, Y ), ! cong( Z, X, Z, Y )
% 1.78/2.20 , coll( skol4( U, W, Z, T ), Z, T ) }.
% 1.78/2.20 (15908) {G0,W18,D3,L3,V4,M3} { ! perp( Z, T, X, Y ), ! cong( Z, X, Z, Y )
% 1.78/2.20 , coll( Y, X, skol4( X, Y, Z, T ) ) }.
% 1.78/2.20 (15909) {G0,W22,D3,L3,V6,M3} { ! eqangle( X, Z, Y, Z, X, T, Y, U ), coll(
% 1.78/2.20 X, Y, Z ), cyclic( T, Y, Z, skol5( W, Y, Z, T ) ) }.
% 1.78/2.20 (15910) {G0,W30,D3,L3,V5,M3} { ! eqangle( X, Z, Y, Z, X, T, Y, U ), coll(
% 1.78/2.20 X, Y, Z ), eqangle( X, Z, Y, Z, X, skol5( X, Y, Z, T ), Y, skol5( X, Y, Z
% 1.78/2.20 , T ) ) }.
% 1.78/2.20 (15911) {G0,W18,D3,L3,V10,M3} { ! midp( U, X, Y ), ! midp( W, Z, T ), midp
% 1.78/2.20 ( skol6( X, V0, V1, T, V2, V3 ), X, T ) }.
% 1.78/2.20 (15912) {G0,W19,D3,L3,V8,M3} { ! midp( U, X, Y ), ! midp( W, Z, T ), para
% 1.78/2.20 ( skol6( X, V0, Z, T, V1, W ), W, X, Z ) }.
% 1.78/2.20 (15913) {G0,W19,D3,L3,V6,M3} { ! midp( U, X, Y ), ! midp( W, Z, T ), para
% 1.78/2.20 ( skol6( X, Y, Z, T, U, W ), U, Y, T ) }.
% 1.78/2.20 (15914) {G0,W22,D3,L5,V7,M5} { ! midp( Z, X, Y ), ! midp( W, T, U ), !
% 1.78/2.20 coll( T, X, Y ), ! coll( U, X, Y ), midp( skol7( X, V0 ), X, V0 ) }.
% 1.78/2.20 (15915) {G0,W26,D3,L5,V8,M5} { ! midp( T, X, U ), ! para( X, W, Z, T ), !
% 1.78/2.20 para( X, W, U, Y ), ! coll( W, Y, Z ), coll( skol8( V0, V1, Z, T ), T, Z
% 1.78/2.20 ) }.
% 1.78/2.20 (15916) {G0,W26,D3,L5,V6,M5} { ! midp( T, X, U ), ! para( X, W, Z, T ), !
% 1.78/2.20 para( X, W, U, Y ), ! coll( W, Y, Z ), coll( skol8( X, Y, Z, T ), X, Y )
% 1.78/2.20 }.
% 1.78/2.20 (15917) {G0,W19,D3,L3,V7,M3} { ! cong( T, Z, T, U ), ! perp( X, Y, Y, T )
% 1.78/2.20 , cong( T, Z, T, skol9( W, V0, Z, T ) ) }.
% 1.78/2.20 (15918) {G0,W19,D3,L3,V6,M3} { ! cong( T, Z, T, U ), ! perp( X, Y, Y, T )
% 1.78/2.20 , cong( Y, Z, Y, skol9( W, Y, Z, T ) ) }.
% 1.78/2.20 (15919) {G0,W19,D3,L3,V5,M3} { ! cong( T, Z, T, U ), ! perp( X, Y, Y, T )
% 1.78/2.20 , para( skol9( X, Y, Z, T ), Z, X, Y ) }.
% 1.78/2.20 (15920) {G0,W17,D3,L3,V5,M3} { ! perp( X, T, Y, Z ), ! perp( Y, T, X, Z )
% 1.78/2.20 , coll( skol10( U, Y, Z ), Z, Y ) }.
% 1.78/2.20 (15921) {G0,W18,D3,L3,V4,M3} { ! perp( X, T, Y, Z ), ! perp( Y, T, X, Z )
% 1.78/2.20 , perp( X, skol10( X, Y, Z ), Z, Y ) }.
% 1.78/2.20 (15922) {G0,W14,D2,L3,V4,M3} { ! perp( X, T, Y, Z ), ! perp( Y, T, X, Z )
% 1.78/2.20 , alpha1( X, Y, Z ) }.
% 1.78/2.20 (15923) {G0,W11,D3,L2,V4,M2} { ! alpha1( X, Y, Z ), coll( skol11( X, T, Z
% 1.78/2.20 ), Z, X ) }.
% 1.78/2.20 (15924) {G0,W12,D3,L2,V3,M2} { ! alpha1( X, Y, Z ), perp( Y, skol11( X, Y
% 1.78/2.20 , Z ), Z, X ) }.
% 1.78/2.20 (15925) {G0,W13,D2,L3,V4,M3} { ! coll( T, Z, X ), ! perp( Y, T, Z, X ),
% 1.78/2.20 alpha1( X, Y, Z ) }.
% 1.78/2.20 (15926) {G0,W12,D3,L2,V4,M2} { ! circle( Y, X, Z, T ), perp( skol12( X, Y
% 1.78/2.20 ), X, X, Y ) }.
% 1.78/2.20 (15927) {G0,W28,D3,L5,V8,M5} { ! circle( W, X, Y, Z ), ! cong( W, X, W, T
% 1.78/2.20 ), ! cong( U, X, U, Y ), W = U, alpha2( X, Z, U, skol13( X, V0, Z, V1, U
% 1.78/2.20 ) ) }.
% 1.78/2.20 (15928) {G0,W26,D3,L5,V8,M5} { ! circle( W, X, Y, Z ), ! cong( W, X, W, T
% 1.78/2.20 ), ! cong( U, X, U, Y ), W = U, coll( skol21( V0, Y, T, V1 ), Y, T ) }.
% 1.78/2.20 (15929) {G0,W27,D3,L5,V6,M5} { ! circle( W, X, Y, Z ), ! cong( W, X, W, T
% 1.78/2.20 ), ! cong( U, X, U, Y ), W = U, cong( skol21( X, Y, T, U ), U, U, X )
% 1.78/2.20 }.
% 1.78/2.20 (15930) {G0,W9,D2,L2,V4,M2} { ! alpha2( X, Y, Z, T ), coll( T, X, Y ) }.
% 1.78/2.20 (15931) {G0,W10,D2,L2,V4,M2} { ! alpha2( X, Y, Z, T ), cong( T, Z, Z, X )
% 1.78/2.20 }.
% 1.78/2.20 (15932) {G0,W14,D2,L3,V4,M3} { ! coll( T, X, Y ), ! cong( T, Z, Z, X ),
% 1.78/2.20 alpha2( X, Y, Z, T ) }.
% 1.78/2.20 (15933) {G0,W22,D3,L4,V5,M4} { ! cyclic( X, Y, Z, T ), ! para( X, Y, Z, T
% 1.78/2.20 ), ! midp( U, X, Y ), circle( skol14( X, Y, Z ), X, Y, Z ) }.
% 1.78/2.20 (15934) {G0,W18,D3,L3,V4,M3} { ! perp( X, Z, Z, Y ), ! cyclic( X, Y, Z, T
% 1.78/2.20 ), circle( skol15( X, Y, Z ), X, Y, Z ) }.
% 1.78/2.20 (15935) {G0,W16,D3,L3,V6,M3} { ! perp( X, U, U, T ), ! coll( T, Y, Z ),
% 1.78/2.20 coll( skol16( W, Y, Z ), Y, Z ) }.
% 1.78/2.20 (15936) {G0,W17,D3,L3,V5,M3} { ! perp( X, U, U, T ), ! coll( T, Y, Z ),
% 1.78/2.20 perp( skol16( X, Y, Z ), X, Y, Z ) }.
% 1.78/2.20 (15937) {G0,W20,D3,L4,V5,M4} { ! perp( X, Z, X, Y ), ! perp( Y, X, Y, T )
% 1.78/2.20 , ! midp( U, Z, T ), midp( skol17( X, Y ), X, Y ) }.
% 1.78/2.20 (15938) {G0,W16,D3,L3,V3,M3} { ! cong( Y, X, Y, Z ), ! perp( X, Y, Y, Z )
% 1.78/2.20 , coll( X, Y, skol18( X, Y ) ) }.
% 1.78/2.20 (15939) {G0,W17,D3,L3,V3,M3} { ! cong( Y, X, Y, Z ), ! perp( X, Y, Y, Z )
% 1.78/2.20 , cong( Y, X, Y, skol18( X, Y ) ) }.
% 1.78/2.20 (15940) {G0,W25,D3,L5,V8,M5} { ! para( U, W, X, Y ), ! coll( Z, U, X ), !
% 1.78/2.20 coll( Z, W, Y ), ! coll( T, U, W ), coll( Z, T, skol19( V0, V1, Z, T ) )
% 1.78/2.20 }.
% 1.78/2.20 (15941) {G0,W25,D3,L5,V6,M5} { ! para( U, W, X, Y ), ! coll( Z, U, X ), !
% 1.78/2.20 coll( Z, W, Y ), ! coll( T, U, W ), coll( skol19( X, Y, Z, T ), X, Y )
% 1.78/2.20 }.
% 1.78/2.20 (15942) {G0,W9,D2,L1,V0,M1} { eqangle( skol27, skol24, skol24, skol25,
% 1.78/2.20 skol27, skol24, skol24, skol26 ) }.
% 1.78/2.20 (15943) {G0,W9,D2,L1,V0,M1} { eqangle( skol27, skol25, skol25, skol26,
% 1.78/2.20 skol27, skol25, skol25, skol24 ) }.
% 1.78/2.20 (15944) {G0,W9,D2,L1,V0,M1} { eqangle( skol27, skol26, skol26, skol24,
% 1.78/2.20 skol27, skol26, skol26, skol25 ) }.
% 1.78/2.20 (15945) {G0,W5,D2,L1,V0,M1} { perp( skol20, skol26, skol24, skol27 ) }.
% 1.78/2.20 (15946) {G0,W4,D2,L1,V0,M1} { coll( skol20, skol24, skol27 ) }.
% 1.78/2.20 (15947) {G0,W5,D2,L1,V0,M1} { perp( skol24, skol27, skol24, skol28 ) }.
% 1.78/2.20 (15948) {G0,W5,D2,L1,V0,M1} { perp( skol22, skol26, skol24, skol28 ) }.
% 1.78/2.20 (15949) {G0,W4,D2,L1,V0,M1} { coll( skol22, skol24, skol28 ) }.
% 1.78/2.20 (15950) {G0,W5,D2,L1,V0,M1} { perp( skol23, skol26, skol25, skol27 ) }.
% 1.78/2.20 (15951) {G0,W4,D2,L1,V0,M1} { coll( skol23, skol25, skol27 ) }.
% 1.78/2.20 (15952) {G0,W4,D2,L1,V0,M1} { ! coll( skol20, skol23, skol22 ) }.
% 1.78/2.20
% 1.78/2.20
% 1.78/2.20 Total Proof:
% 1.78/2.20
% 1.78/2.20 subsumption: (0) {G0,W8,D2,L2,V3,M2} I { ! coll( X, Y, Z ), coll( X, Z, Y )
% 1.78/2.20 }.
% 1.78/2.20 parent0: (15825) {G0,W8,D2,L2,V3,M2} { ! coll( X, Y, Z ), coll( X, Z, Y )
% 1.78/2.20 }.
% 1.78/2.20 substitution0:
% 1.78/2.20 X := X
% 1.78/2.20 Y := Y
% 1.78/2.20 Z := Z
% 1.78/2.20 end
% 1.78/2.20 permutation0:
% 1.78/2.20 0 ==> 0
% 1.78/2.20 1 ==> 1
% 1.78/2.20 end
% 1.78/2.20
% 1.78/2.20 subsumption: (1) {G0,W8,D2,L2,V3,M2} I { ! coll( X, Y, Z ), coll( Y, X, Z )
% 1.78/2.20 }.
% 1.78/2.20 parent0: (15826) {G0,W8,D2,L2,V3,M2} { ! coll( X, Y, Z ), coll( Y, X, Z )
% 1.78/2.20 }.
% 1.78/2.20 substitution0:
% 1.78/2.20 X := X
% 1.78/2.20 Y := Y
% 1.78/2.20 Z := Z
% 1.78/2.20 end
% 1.78/2.20 permutation0:
% 1.78/2.20 0 ==> 0
% 1.78/2.20 1 ==> 1
% 1.78/2.20 end
% 1.78/2.20
% 1.78/2.20 subsumption: (2) {G0,W12,D2,L3,V4,M3} I { ! coll( X, T, Y ), ! coll( X, T,
% 1.78/2.20 Z ), coll( Y, Z, X ) }.
% 1.78/2.20 parent0: (15827) {G0,W12,D2,L3,V4,M3} { ! coll( X, T, Y ), ! coll( X, T, Z
% 1.78/2.20 ), coll( Y, Z, X ) }.
% 1.78/2.20 substitution0:
% 1.78/2.20 X := X
% 1.78/2.20 Y := Y
% 1.78/2.20 Z := Z
% 1.78/2.20 T := T
% 1.78/2.20 end
% 1.78/2.20 permutation0:
% 1.78/2.20 0 ==> 0
% 1.78/2.20 1 ==> 1
% 1.78/2.20 2 ==> 2
% 1.78/2.20 end
% 1.78/2.20
% 1.78/2.20 subsumption: (120) {G0,W4,D2,L1,V0,M1} I { coll( skol20, skol24, skol27 )
% 1.78/2.20 }.
% 1.78/2.20 parent0: (15946) {G0,W4,D2,L1,V0,M1} { coll( skol20, skol24, skol27 ) }.
% 1.78/2.20 substitution0:
% 1.78/2.20 end
% 1.78/2.20 permutation0:
% 1.78/2.20 0 ==> 0
% 1.78/2.20 end
% 1.78/2.20
% 1.78/2.20 subsumption: (123) {G0,W4,D2,L1,V0,M1} I { coll( skol22, skol24, skol28 )
% 1.78/2.20 }.
% 1.78/2.20 parent0: (15949) {G0,W4,D2,L1,V0,M1} { coll( skol22, skol24, skol28 ) }.
% 1.78/2.20 substitution0:
% 1.78/2.20 end
% 1.78/2.20 permutation0:
% 1.78/2.20 0 ==> 0
% 1.78/2.20 end
% 1.78/2.20
% 1.78/2.20 subsumption: (125) {G0,W4,D2,L1,V0,M1} I { coll( skol23, skol25, skol27 )
% 1.78/2.20 }.
% 1.78/2.20 parent0: (15951) {G0,W4,D2,L1,V0,M1} { coll( skol23, skol25, skol27 ) }.
% 1.78/2.20 substitution0:
% 1.78/2.20 end
% 1.78/2.20 permutation0:
% 1.78/2.20 0 ==> 0
% 1.78/2.20 end
% 1.78/2.20
% 1.78/2.20 subsumption: (126) {G0,W4,D2,L1,V0,M1} I { ! coll( skol20, skol23, skol22 )
% 1.78/2.20 }.
% 1.78/2.20 parent0: (15952) {G0,W4,D2,L1,V0,M1} { ! coll( skol20, skol23, skol22 )
% 1.78/2.20 }.
% 1.78/2.20 substitution0:
% 1.78/2.20 end
% 1.78/2.20 permutation0:
% 1.78/2.20 0 ==> 0
% 1.78/2.20 end
% 1.78/2.20
% 1.78/2.20 factor: (16162) {G0,W8,D2,L2,V3,M2} { ! coll( X, Y, Z ), coll( Z, Z, X )
% 1.78/2.20 }.
% 1.78/2.20 parent0[0, 1]: (2) {G0,W12,D2,L3,V4,M3} I { ! coll( X, T, Y ), ! coll( X, T
% 1.78/2.20 , Z ), coll( Y, Z, X ) }.
% 1.78/2.20 substitution0:
% 1.78/2.20 X := X
% 1.78/2.20 Y := Z
% 1.78/2.20 Z := Z
% 1.78/2.20 T := Y
% 1.78/2.20 end
% 1.78/2.20
% 1.78/2.20 subsumption: (127) {G1,W8,D2,L2,V3,M2} F(2) { ! coll( X, Y, Z ), coll( Z, Z
% 1.78/2.20 , X ) }.
% 1.78/2.20 parent0: (16162) {G0,W8,D2,L2,V3,M2} { ! coll( X, Y, Z ), coll( Z, Z, X )
% 1.78/2.20 }.
% 1.78/2.20 substitution0:
% 1.78/2.20 X := X
% 1.78/2.20 Y := Y
% 1.78/2.20 Z := Z
% 1.78/2.20 end
% 1.78/2.20 permutation0:
% 1.78/2.20 0 ==> 0
% 1.78/2.20 1 ==> 1
% 1.78/2.20 end
% 1.78/2.20
% 1.78/2.20 resolution: (16163) {G1,W4,D2,L1,V0,M1} { coll( skol20, skol27, skol24 )
% 1.78/2.20 }.
% 1.78/2.20 parent0[0]: (0) {G0,W8,D2,L2,V3,M2} I { ! coll( X, Y, Z ), coll( X, Z, Y )
% 1.78/2.20 }.
% 1.78/2.20 parent1[0]: (120) {G0,W4,D2,L1,V0,M1} I { coll( skol20, skol24, skol27 )
% 1.78/2.20 }.
% 1.78/2.20 substitution0:
% 1.78/2.20 X := skol20
% 1.78/2.20 Y := skol24
% 1.78/2.20 Z := skol27
% 1.78/2.20 end
% 1.78/2.20 substitution1:
% 1.78/2.20 end
% 1.78/2.20
% 1.78/2.20 subsumption: (164) {G1,W4,D2,L1,V0,M1} R(0,120) { coll( skol20, skol27,
% 1.78/2.20 skol24 ) }.
% 1.78/2.20 parent0: (16163) {G1,W4,D2,L1,V0,M1} { coll( skol20, skol27, skol24 ) }.
% 1.78/2.20 substitution0:
% 1.78/2.20 end
% 1.78/2.20 permutation0:
% 1.78/2.20 0 ==> 0
% 1.78/2.20 end
% 1.78/2.20
% 1.78/2.20 resolution: (16164) {G1,W4,D2,L1,V0,M1} { coll( skol22, skol28, skol24 )
% 1.78/2.20 }.
% 1.78/2.20 parent0[0]: (0) {G0,W8,D2,L2,V3,M2} I { ! coll( X, Y, Z ), coll( X, Z, Y )
% 1.78/2.20 }.
% 1.78/2.20 parent1[0]: (123) {G0,W4,D2,L1,V0,M1} I { coll( skol22, skol24, skol28 )
% 1.78/2.20 }.
% 1.78/2.20 substitution0:
% 1.78/2.20 X := skol22
% 1.78/2.20 Y := skol24
% 1.78/2.20 Z := skol28
% 1.78/2.20 end
% 1.78/2.20 substitution1:
% 1.78/2.20 end
% 1.78/2.20
% 1.78/2.20 subsumption: (165) {G1,W4,D2,L1,V0,M1} R(0,123) { coll( skol22, skol28,
% 1.78/2.20 skol24 ) }.
% 1.78/2.20 parent0: (16164) {G1,W4,D2,L1,V0,M1} { coll( skol22, skol28, skol24 ) }.
% 1.78/2.20 substitution0:
% 1.78/2.20 end
% 1.78/2.20 permutation0:
% 1.78/2.20 0 ==> 0
% 1.78/2.20 end
% 1.78/2.20
% 1.78/2.20 resolution: (16165) {G1,W4,D2,L1,V0,M1} { ! coll( skol20, skol22, skol23 )
% 1.78/2.20 }.
% 1.78/2.20 parent0[0]: (126) {G0,W4,D2,L1,V0,M1} I { ! coll( skol20, skol23, skol22 )
% 1.78/2.20 }.
% 1.78/2.20 parent1[1]: (0) {G0,W8,D2,L2,V3,M2} I { ! coll( X, Y, Z ), coll( X, Z, Y )
% 1.78/2.20 }.
% 1.78/2.20 substitution0:
% 1.78/2.20 end
% 1.78/2.20 substitution1:
% 1.78/2.20 X := skol20
% 1.78/2.20 Y := skol22
% 1.78/2.20 Z := skol23
% 1.78/2.20 end
% 1.78/2.20
% 1.78/2.20 subsumption: (167) {G1,W4,D2,L1,V0,M1} R(0,126) { ! coll( skol20, skol22,
% 1.78/2.20 skol23 ) }.
% 1.78/2.20 parent0: (16165) {G1,W4,D2,L1,V0,M1} { ! coll( skol20, skol22, skol23 )
% 1.78/2.20 }.
% 1.78/2.20 substitution0:
% 1.78/2.20 end
% 1.78/2.20 permutation0:
% 1.78/2.20 0 ==> 0
% 1.78/2.20 end
% 1.78/2.20
% 1.78/2.20 resolution: (16166) {G1,W4,D2,L1,V0,M1} { ! coll( skol22, skol20, skol23 )
% 1.78/2.20 }.
% 1.78/2.20 parent0[0]: (167) {G1,W4,D2,L1,V0,M1} R(0,126) { ! coll( skol20, skol22,
% 1.78/2.20 skol23 ) }.
% 1.78/2.20 parent1[1]: (1) {G0,W8,D2,L2,V3,M2} I { ! coll( X, Y, Z ), coll( Y, X, Z )
% 1.78/2.20 }.
% 1.78/2.20 substitution0:
% 1.78/2.20 end
% 1.78/2.20 substitution1:
% 1.78/2.20 X := skol22
% 1.78/2.20 Y := skol20
% 1.78/2.20 Z := skol23
% 1.78/2.20 end
% 1.78/2.20
% 1.78/2.20 subsumption: (168) {G2,W4,D2,L1,V0,M1} R(1,167) { ! coll( skol22, skol20,
% 1.78/2.20 skol23 ) }.
% 1.78/2.20 parent0: (16166) {G1,W4,D2,L1,V0,M1} { ! coll( skol22, skol20, skol23 )
% 1.78/2.20 }.
% 1.78/2.20 substitution0:
% 1.78/2.20 end
% 1.78/2.20 permutation0:
% 1.78/2.20 0 ==> 0
% 1.78/2.20 end
% 1.78/2.20
% 1.78/2.20 resolution: (16167) {G1,W4,D2,L1,V0,M1} { coll( skol28, skol22, skol24 )
% 1.78/2.20 }.
% 1.78/2.20 parent0[0]: (1) {G0,W8,D2,L2,V3,M2} I { ! coll( X, Y, Z ), coll( Y, X, Z )
% 1.78/2.20 }.
% 1.78/2.20 parent1[0]: (165) {G1,W4,D2,L1,V0,M1} R(0,123) { coll( skol22, skol28,
% 1.78/2.20 skol24 ) }.
% 1.78/2.20 substitution0:
% 1.78/2.20 X := skol22
% 1.78/2.20 Y := skol28
% 1.78/2.20 Z := skol24
% 1.78/2.20 end
% 1.78/2.20 substitution1:
% 1.78/2.20 end
% 1.78/2.20
% 1.78/2.20 subsumption: (170) {G2,W4,D2,L1,V0,M1} R(1,165) { coll( skol28, skol22,
% 1.78/2.20 skol24 ) }.
% 1.78/2.20 parent0: (16167) {G1,W4,D2,L1,V0,M1} { coll( skol28, skol22, skol24 ) }.
% 1.78/2.20 substitution0:
% 1.78/2.20 end
% 1.78/2.20 permutation0:
% 1.78/2.20 0 ==> 0
% 1.78/2.20 end
% 1.78/2.20
% 1.78/2.20 resolution: (16168) {G1,W4,D2,L1,V0,M1} { coll( skol27, skol20, skol24 )
% 1.78/2.20 }.
% 1.78/2.20 parent0[0]: (1) {G0,W8,D2,L2,V3,M2} I { ! coll( X, Y, Z ), coll( Y, X, Z )
% 1.78/2.20 }.
% 1.78/2.20 parent1[0]: (164) {G1,W4,D2,L1,V0,M1} R(0,120) { coll( skol20, skol27,
% 1.78/2.20 skol24 ) }.
% 1.78/2.20 substitution0:
% 1.78/2.20 X := skol20
% 1.78/2.20 Y := skol27
% 1.78/2.20 Z := skol24
% 1.78/2.20 end
% 1.78/2.20 substitution1:
% 1.78/2.20 end
% 1.78/2.20
% 1.78/2.20 subsumption: (171) {G2,W4,D2,L1,V0,M1} R(1,164) { coll( skol27, skol20,
% 1.78/2.20 skol24 ) }.
% 1.78/2.20 parent0: (16168) {G1,W4,D2,L1,V0,M1} { coll( skol27, skol20, skol24 ) }.
% 1.78/2.20 substitution0:
% 1.78/2.20 end
% 1.78/2.20 permutation0:
% 1.78/2.20 0 ==> 0
% 1.78/2.20 end
% 1.78/2.20
% 1.78/2.20 resolution: (16170) {G1,W8,D2,L2,V3,M2} { coll( X, Z, Y ), ! coll( Y, X, Z
% 1.78/2.20 ) }.
% 1.78/2.20 parent0[0]: (0) {G0,W8,D2,L2,V3,M2} I { ! coll( X, Y, Z ), coll( X, Z, Y )
% 1.78/2.20 }.
% 1.78/2.20 parent1[1]: (1) {G0,W8,D2,L2,V3,M2} I { ! coll( X, Y, Z ), coll( Y, X, Z )
% 1.78/2.20 }.
% 1.78/2.20 substitution0:
% 1.78/2.20 X := X
% 1.78/2.20 Y := Y
% 1.78/2.20 Z := Z
% 1.78/2.20 end
% 1.78/2.20 substitution1:
% 1.78/2.20 X := Y
% 1.78/2.20 Y := X
% 1.78/2.20 Z := Z
% 1.78/2.20 end
% 1.78/2.20
% 1.78/2.20 subsumption: (173) {G1,W8,D2,L2,V3,M2} R(1,0) { ! coll( X, Y, Z ), coll( Y
% 1.78/2.20 , Z, X ) }.
% 1.78/2.20 parent0: (16170) {G1,W8,D2,L2,V3,M2} { coll( X, Z, Y ), ! coll( Y, X, Z )
% 1.78/2.20 }.
% 1.78/2.20 substitution0:
% 1.78/2.20 X := Y
% 1.78/2.20 Y := X
% 1.78/2.20 Z := Z
% 1.78/2.20 end
% 1.78/2.20 permutation0:
% 1.78/2.20 0 ==> 1
% 1.78/2.20 1 ==> 0
% 1.78/2.20 end
% 1.78/2.20
% 1.78/2.20 resolution: (16171) {G1,W4,D2,L1,V0,M1} { coll( skol24, skol22, skol28 )
% 1.78/2.20 }.
% 1.78/2.20 parent0[0]: (1) {G0,W8,D2,L2,V3,M2} I { ! coll( X, Y, Z ), coll( Y, X, Z )
% 1.78/2.20 }.
% 1.78/2.20 parent1[0]: (123) {G0,W4,D2,L1,V0,M1} I { coll( skol22, skol24, skol28 )
% 1.78/2.20 }.
% 1.78/2.20 substitution0:
% 1.78/2.20 X := skol22
% 1.78/2.20 Y := skol24
% 1.78/2.20 Z := skol28
% 1.78/2.20 end
% 1.78/2.20 substitution1:
% 1.78/2.20 end
% 1.78/2.20
% 1.78/2.20 subsumption: (175) {G1,W4,D2,L1,V0,M1} R(1,123) { coll( skol24, skol22,
% 1.78/2.20 skol28 ) }.
% 1.78/2.20 parent0: (16171) {G1,W4,D2,L1,V0,M1} { coll( skol24, skol22, skol28 ) }.
% 1.78/2.20 substitution0:
% 1.78/2.20 end
% 1.78/2.20 permutation0:
% 1.78/2.20 0 ==> 0
% 1.78/2.20 end
% 1.78/2.20
% 1.78/2.20 resolution: (16172) {G1,W8,D2,L2,V1,M2} { ! coll( skol23, X, skol22 ), !
% 1.78/2.20 coll( skol23, X, skol20 ) }.
% 1.78/2.20 parent0[0]: (168) {G2,W4,D2,L1,V0,M1} R(1,167) { ! coll( skol22, skol20,
% 1.78/2.20 skol23 ) }.
% 1.78/2.20 parent1[2]: (2) {G0,W12,D2,L3,V4,M3} I { ! coll( X, T, Y ), ! coll( X, T, Z
% 1.78/2.20 ), coll( Y, Z, X ) }.
% 1.78/2.20 substitution0:
% 1.78/2.20 end
% 1.78/2.20 substitution1:
% 1.78/2.20 X := skol23
% 1.78/2.20 Y := skol22
% 1.78/2.20 Z := skol20
% 1.78/2.20 T := X
% 1.78/2.20 end
% 1.78/2.20
% 1.78/2.20 subsumption: (186) {G3,W8,D2,L2,V1,M2} R(2,168) { ! coll( skol23, X, skol22
% 1.78/2.20 ), ! coll( skol23, X, skol20 ) }.
% 1.78/2.20 parent0: (16172) {G1,W8,D2,L2,V1,M2} { ! coll( skol23, X, skol22 ), ! coll
% 1.78/2.20 ( skol23, X, skol20 ) }.
% 1.78/2.20 substitution0:
% 1.78/2.20 X := X
% 1.78/2.20 end
% 1.78/2.20 permutation0:
% 1.78/2.20 0 ==> 0
% 1.78/2.20 1 ==> 1
% 1.78/2.20 end
% 1.78/2.20
% 1.78/2.20 resolution: (16176) {G1,W12,D2,L3,V4,M3} { coll( X, Z, Y ), ! coll( Z, T,
% 1.78/2.20 X ), ! coll( Z, T, Y ) }.
% 1.78/2.20 parent0[0]: (0) {G0,W8,D2,L2,V3,M2} I { ! coll( X, Y, Z ), coll( X, Z, Y )
% 1.78/2.20 }.
% 1.78/2.20 parent1[2]: (2) {G0,W12,D2,L3,V4,M3} I { ! coll( X, T, Y ), ! coll( X, T, Z
% 1.78/2.20 ), coll( Y, Z, X ) }.
% 1.78/2.20 substitution0:
% 1.78/2.20 X := X
% 1.78/2.20 Y := Y
% 1.78/2.20 Z := Z
% 1.78/2.20 end
% 1.78/2.20 substitution1:
% 1.78/2.20 X := Z
% 1.78/2.20 Y := X
% 1.78/2.20 Z := Y
% 1.78/2.20 T := T
% 1.78/2.20 end
% 1.78/2.20
% 1.78/2.20 subsumption: (197) {G1,W12,D2,L3,V4,M3} R(2,0) { ! coll( X, Y, Z ), ! coll
% 1.78/2.20 ( X, Y, T ), coll( Z, X, T ) }.
% 1.78/2.20 parent0: (16176) {G1,W12,D2,L3,V4,M3} { coll( X, Z, Y ), ! coll( Z, T, X )
% 1.78/2.20 , ! coll( Z, T, Y ) }.
% 1.78/2.20 substitution0:
% 1.78/2.20 X := Z
% 1.78/2.20 Y := T
% 1.78/2.20 Z := X
% 1.78/2.20 T := Y
% 1.78/2.20 end
% 1.78/2.20 permutation0:
% 1.78/2.20 0 ==> 2
% 1.78/2.20 1 ==> 0
% 1.78/2.20 2 ==> 1
% 1.78/2.20 end
% 1.78/2.20
% 1.78/2.20 factor: (16178) {G1,W8,D2,L2,V3,M2} { ! coll( X, Y, Z ), coll( Z, X, Z )
% 1.78/2.20 }.
% 1.78/2.20 parent0[0, 1]: (197) {G1,W12,D2,L3,V4,M3} R(2,0) { ! coll( X, Y, Z ), !
% 1.78/2.20 coll( X, Y, T ), coll( Z, X, T ) }.
% 1.78/2.20 substitution0:
% 1.78/2.20 X := X
% 1.78/2.20 Y := Y
% 1.78/2.20 Z := Z
% 1.78/2.20 T := Z
% 1.78/2.20 end
% 1.78/2.20
% 1.78/2.20 subsumption: (205) {G2,W8,D2,L2,V3,M2} F(197) { ! coll( X, Y, Z ), coll( Z
% 1.78/2.20 , X, Z ) }.
% 1.78/2.20 parent0: (16178) {G1,W8,D2,L2,V3,M2} { ! coll( X, Y, Z ), coll( Z, X, Z )
% 1.78/2.20 }.
% 1.78/2.20 substitution0:
% 1.78/2.20 X := X
% 1.78/2.20 Y := Y
% 1.78/2.20 Z := Z
% 1.78/2.20 end
% 1.78/2.20 permutation0:
% 1.78/2.20 0 ==> 0
% 1.78/2.20 1 ==> 1
% 1.78/2.20 end
% 1.78/2.20
% 1.78/2.20 resolution: (16179) {G1,W4,D2,L1,V0,M1} { coll( skol28, skol24, skol22 )
% 1.78/2.20 }.
% 1.78/2.20 parent0[0]: (0) {G0,W8,D2,L2,V3,M2} I { ! coll( X, Y, Z ), coll( X, Z, Y )
% 1.78/2.20 }.
% 1.78/2.20 parent1[0]: (170) {G2,W4,D2,L1,V0,M1} R(1,165) { coll( skol28, skol22,
% 1.78/2.20 skol24 ) }.
% 1.78/2.20 substitution0:
% 1.78/2.20 X := skol28
% 1.78/2.20 Y := skol22
% 1.78/2.20 Z := skol24
% 1.78/2.20 end
% 1.78/2.20 substitution1:
% 1.78/2.20 end
% 1.78/2.20
% 1.78/2.20 subsumption: (215) {G3,W4,D2,L1,V0,M1} R(170,0) { coll( skol28, skol24,
% 1.78/2.20 skol22 ) }.
% 1.78/2.20 parent0: (16179) {G1,W4,D2,L1,V0,M1} { coll( skol28, skol24, skol22 ) }.
% 1.78/2.20 substitution0:
% 1.78/2.20 end
% 1.78/2.20 permutation0:
% 1.78/2.20 0 ==> 0
% 1.78/2.20 end
% 1.78/2.20
% 1.78/2.20 resolution: (16180) {G1,W4,D2,L1,V0,M1} { coll( skol24, skol28, skol22 )
% 1.78/2.20 }.
% 1.78/2.20 parent0[0]: (1) {G0,W8,D2,L2,V3,M2} I { ! coll( X, Y, Z ), coll( Y, X, Z )
% 1.78/2.20 }.
% 1.78/2.20 parent1[0]: (215) {G3,W4,D2,L1,V0,M1} R(170,0) { coll( skol28, skol24,
% 1.78/2.20 skol22 ) }.
% 1.78/2.20 substitution0:
% 1.78/2.20 X := skol28
% 1.78/2.20 Y := skol24
% 1.78/2.20 Z := skol22
% 1.78/2.20 end
% 1.78/2.20 substitution1:
% 1.78/2.20 end
% 1.78/2.20
% 1.78/2.20 subsumption: (218) {G4,W4,D2,L1,V0,M1} R(215,1) { coll( skol24, skol28,
% 1.78/2.20 skol22 ) }.
% 1.78/2.20 parent0: (16180) {G1,W4,D2,L1,V0,M1} { coll( skol24, skol28, skol22 ) }.
% 1.78/2.20 substitution0:
% 1.78/2.20 end
% 1.78/2.20 permutation0:
% 1.78/2.20 0 ==> 0
% 1.78/2.20 end
% 1.78/2.20
% 1.78/2.20 resolution: (16181) {G1,W8,D2,L2,V1,M2} { ! coll( skol24, skol28, X ),
% 1.78/2.20 coll( skol22, X, skol24 ) }.
% 1.78/2.20 parent0[0]: (2) {G0,W12,D2,L3,V4,M3} I { ! coll( X, T, Y ), ! coll( X, T, Z
% 1.78/2.20 ), coll( Y, Z, X ) }.
% 1.78/2.20 parent1[0]: (218) {G4,W4,D2,L1,V0,M1} R(215,1) { coll( skol24, skol28,
% 1.78/2.20 skol22 ) }.
% 1.78/2.20 substitution0:
% 1.78/2.20 X := skol24
% 1.78/2.20 Y := skol22
% 1.78/2.20 Z := X
% 1.78/2.20 T := skol28
% 1.78/2.20 end
% 1.78/2.20 substitution1:
% 1.78/2.20 end
% 1.78/2.20
% 1.78/2.20 subsumption: (219) {G5,W8,D2,L2,V1,M2} R(218,2) { ! coll( skol24, skol28, X
% 1.78/2.20 ), coll( skol22, X, skol24 ) }.
% 1.78/2.20 parent0: (16181) {G1,W8,D2,L2,V1,M2} { ! coll( skol24, skol28, X ), coll(
% 1.78/2.20 skol22, X, skol24 ) }.
% 1.78/2.20 substitution0:
% 1.78/2.20 X := X
% 1.78/2.20 end
% 1.78/2.20 permutation0:
% 1.78/2.20 0 ==> 0
% 1.78/2.20 1 ==> 1
% 1.78/2.20 end
% 1.78/2.20
% 1.78/2.20 resolution: (16183) {G2,W4,D2,L1,V0,M1} { coll( skol28, skol24, skol28 )
% 1.78/2.20 }.
% 1.78/2.20 parent0[0]: (205) {G2,W8,D2,L2,V3,M2} F(197) { ! coll( X, Y, Z ), coll( Z,
% 1.78/2.20 X, Z ) }.
% 1.78/2.20 parent1[0]: (175) {G1,W4,D2,L1,V0,M1} R(1,123) { coll( skol24, skol22,
% 1.78/2.20 skol28 ) }.
% 1.78/2.20 substitution0:
% 1.78/2.20 X := skol24
% 1.78/2.20 Y := skol22
% 1.78/2.20 Z := skol28
% 1.78/2.20 end
% 1.78/2.20 substitution1:
% 1.78/2.20 end
% 1.78/2.20
% 1.78/2.20 subsumption: (247) {G3,W4,D2,L1,V0,M1} R(205,175) { coll( skol28, skol24,
% 1.78/2.20 skol28 ) }.
% 1.78/2.20 parent0: (16183) {G2,W4,D2,L1,V0,M1} { coll( skol28, skol24, skol28 ) }.
% 1.78/2.20 substitution0:
% 1.78/2.20 end
% 1.78/2.20 permutation0:
% 1.78/2.20 0 ==> 0
% 1.78/2.20 end
% 1.78/2.20
% 1.78/2.20 resolution: (16184) {G3,W4,D2,L1,V0,M1} { coll( skol24, skol27, skol24 )
% 1.78/2.20 }.
% 1.78/2.20 parent0[0]: (205) {G2,W8,D2,L2,V3,M2} F(197) { ! coll( X, Y, Z ), coll( Z,
% 1.78/2.20 X, Z ) }.
% 1.78/2.20 parent1[0]: (171) {G2,W4,D2,L1,V0,M1} R(1,164) { coll( skol27, skol20,
% 1.78/2.20 skol24 ) }.
% 1.78/2.20 substitution0:
% 1.78/2.20 X := skol27
% 1.78/2.20 Y := skol20
% 1.78/2.20 Z := skol24
% 1.78/2.20 end
% 1.78/2.20 substitution1:
% 1.78/2.20 end
% 1.78/2.20
% 1.78/2.20 subsumption: (251) {G3,W4,D2,L1,V0,M1} R(205,171) { coll( skol24, skol27,
% 1.78/2.20 skol24 ) }.
% 1.78/2.20 parent0: (16184) {G3,W4,D2,L1,V0,M1} { coll( skol24, skol27, skol24 ) }.
% 1.78/2.20 substitution0:
% 1.78/2.20 end
% 1.78/2.20 permutation0:
% 1.78/2.20 0 ==> 0
% 1.78/2.20 end
% 1.78/2.20
% 1.78/2.20 resolution: (16185) {G3,W4,D2,L1,V0,M1} { coll( skol24, skol28, skol24 )
% 1.78/2.20 }.
% 1.78/2.20 parent0[0]: (205) {G2,W8,D2,L2,V3,M2} F(197) { ! coll( X, Y, Z ), coll( Z,
% 1.78/2.20 X, Z ) }.
% 1.78/2.20 parent1[0]: (170) {G2,W4,D2,L1,V0,M1} R(1,165) { coll( skol28, skol22,
% 1.78/2.20 skol24 ) }.
% 1.78/2.20 substitution0:
% 1.78/2.20 X := skol28
% 1.78/2.20 Y := skol22
% 1.78/2.20 Z := skol24
% 1.78/2.20 end
% 1.78/2.20 substitution1:
% 1.78/2.20 end
% 1.78/2.20
% 1.78/2.20 subsumption: (254) {G3,W4,D2,L1,V0,M1} R(205,170) { coll( skol24, skol28,
% 1.78/2.20 skol24 ) }.
% 1.78/2.20 parent0: (16185) {G3,W4,D2,L1,V0,M1} { coll( skol24, skol28, skol24 ) }.
% 1.78/2.20 substitution0:
% 1.78/2.20 end
% 1.78/2.20 permutation0:
% 1.78/2.20 0 ==> 0
% 1.78/2.20 end
% 1.78/2.20
% 1.78/2.20 resolution: (16186) {G1,W12,D2,L3,V4,M3} { coll( Z, X, Z ), ! coll( Z, T,
% 1.78/2.20 X ), ! coll( Z, T, Y ) }.
% 1.78/2.20 parent0[0]: (205) {G2,W8,D2,L2,V3,M2} F(197) { ! coll( X, Y, Z ), coll( Z,
% 1.78/2.20 X, Z ) }.
% 1.78/2.20 parent1[2]: (2) {G0,W12,D2,L3,V4,M3} I { ! coll( X, T, Y ), ! coll( X, T, Z
% 1.78/2.20 ), coll( Y, Z, X ) }.
% 1.78/2.20 substitution0:
% 1.78/2.20 X := X
% 1.78/2.20 Y := Y
% 1.78/2.20 Z := Z
% 1.78/2.20 end
% 1.78/2.20 substitution1:
% 1.78/2.20 X := Z
% 1.78/2.20 Y := X
% 1.78/2.20 Z := Y
% 1.78/2.20 T := T
% 1.78/2.20 end
% 1.78/2.20
% 1.78/2.20 subsumption: (257) {G3,W12,D2,L3,V4,M3} R(205,2) { coll( X, Y, X ), ! coll
% 1.78/2.20 ( X, Z, Y ), ! coll( X, Z, T ) }.
% 1.78/2.20 parent0: (16186) {G1,W12,D2,L3,V4,M3} { coll( Z, X, Z ), ! coll( Z, T, X )
% 1.78/2.20 , ! coll( Z, T, Y ) }.
% 1.78/2.20 substitution0:
% 1.78/2.20 X := Y
% 1.78/2.20 Y := Y
% 1.78/2.20 Z := X
% 1.78/2.20 T := Z
% 1.78/2.20 end
% 1.78/2.20 permutation0:
% 1.78/2.20 0 ==> 0
% 1.78/2.20 1 ==> 1
% 1.78/2.20 2 ==> 1
% 1.78/2.20 end
% 1.78/2.20
% 1.78/2.20 resolution: (16188) {G1,W8,D2,L2,V3,M2} { coll( Z, X, Z ), ! coll( X, Z, Y
% 1.78/2.20 ) }.
% 1.78/2.20 parent0[0]: (205) {G2,W8,D2,L2,V3,M2} F(197) { ! coll( X, Y, Z ), coll( Z,
% 1.78/2.20 X, Z ) }.
% 1.78/2.20 parent1[1]: (0) {G0,W8,D2,L2,V3,M2} I { ! coll( X, Y, Z ), coll( X, Z, Y )
% 1.78/2.20 }.
% 1.78/2.20 substitution0:
% 1.78/2.20 X := X
% 1.78/2.20 Y := Y
% 1.78/2.20 Z := Z
% 1.78/2.20 end
% 1.78/2.20 substitution1:
% 1.78/2.20 X := X
% 1.78/2.20 Y := Z
% 1.78/2.20 Z := Y
% 1.78/2.20 end
% 1.78/2.20
% 1.78/2.20 subsumption: (265) {G3,W8,D2,L2,V3,M2} R(205,0) { coll( X, Y, X ), ! coll(
% 1.78/2.20 Y, X, Z ) }.
% 1.78/2.20 parent0: (16188) {G1,W8,D2,L2,V3,M2} { coll( Z, X, Z ), ! coll( X, Z, Y )
% 1.78/2.20 }.
% 1.78/2.20 substitution0:
% 1.78/2.20 X := Y
% 1.78/2.20 Y := Z
% 1.78/2.20 Z := X
% 1.78/2.20 end
% 1.78/2.20 permutation0:
% 1.78/2.20 0 ==> 0
% 1.78/2.20 1 ==> 1
% 1.78/2.20 end
% 1.78/2.20
% 1.78/2.20 resolution: (16189) {G1,W4,D2,L1,V0,M1} { coll( skol27, skol20, skol27 )
% 1.78/2.20 }.
% 1.78/2.20 parent0[0]: (205) {G2,W8,D2,L2,V3,M2} F(197) { ! coll( X, Y, Z ), coll( Z,
% 1.78/2.20 X, Z ) }.
% 1.78/2.20 parent1[0]: (120) {G0,W4,D2,L1,V0,M1} I { coll( skol20, skol24, skol27 )
% 1.78/2.20 }.
% 1.78/2.20 substitution0:
% 1.78/2.20 X := skol20
% 1.78/2.20 Y := skol24
% 1.78/2.20 Z := skol27
% 1.78/2.20 end
% 1.78/2.20 substitution1:
% 1.78/2.20 end
% 1.78/2.20
% 1.78/2.20 subsumption: (266) {G3,W4,D2,L1,V0,M1} R(205,120) { coll( skol27, skol20,
% 1.78/2.20 skol27 ) }.
% 1.78/2.20 parent0: (16189) {G1,W4,D2,L1,V0,M1} { coll( skol27, skol20, skol27 ) }.
% 1.78/2.20 substitution0:
% 1.78/2.20 end
% 1.78/2.20 permutation0:
% 1.78/2.20 0 ==> 0
% 1.78/2.20 end
% 1.78/2.20
% 1.78/2.20 resolution: (16190) {G1,W4,D2,L1,V0,M1} { coll( skol27, skol23, skol27 )
% 1.78/2.20 }.
% 1.78/2.20 parent0[0]: (205) {G2,W8,D2,L2,V3,M2} F(197) { ! coll( X, Y, Z ), coll( Z,
% 1.78/2.20 X, Z ) }.
% 1.78/2.20 parent1[0]: (125) {G0,W4,D2,L1,V0,M1} I { coll( skol23, skol25, skol27 )
% 1.78/2.20 }.
% 1.78/2.20 substitution0:
% 1.78/2.20 X := skol23
% 1.78/2.20 Y := skol25
% 1.78/2.20 Z := skol27
% 1.78/2.20 end
% 1.78/2.20 substitution1:
% 1.78/2.20 end
% 1.78/2.20
% 1.78/2.20 subsumption: (268) {G3,W4,D2,L1,V0,M1} R(205,125) { coll( skol27, skol23,
% 1.78/2.20 skol27 ) }.
% 1.78/2.20 parent0: (16190) {G1,W4,D2,L1,V0,M1} { coll( skol27, skol23, skol27 ) }.
% 1.78/2.20 substitution0:
% 1.78/2.20 end
% 1.78/2.20 permutation0:
% 1.78/2.20 0 ==> 0
% 1.78/2.20 end
% 1.78/2.20
% 1.78/2.20 factor: (16191) {G3,W8,D2,L2,V3,M2} { coll( X, Y, X ), ! coll( X, Z, Y )
% 1.78/2.20 }.
% 1.78/2.20 parent0[1, 2]: (257) {G3,W12,D2,L3,V4,M3} R(205,2) { coll( X, Y, X ), !
% 1.78/2.20 coll( X, Z, Y ), ! coll( X, Z, T ) }.
% 1.78/2.20 substitution0:
% 1.78/2.20 X := X
% 1.78/2.20 Y := Y
% 1.78/2.20 Z := Z
% 1.78/2.20 T := Y
% 1.78/2.20 end
% 1.78/2.20
% 1.78/2.20 subsumption: (269) {G4,W8,D2,L2,V3,M2} F(257) { coll( X, Y, X ), ! coll( X
% 1.78/2.20 , Z, Y ) }.
% 1.78/2.20 parent0: (16191) {G3,W8,D2,L2,V3,M2} { coll( X, Y, X ), ! coll( X, Z, Y )
% 1.78/2.20 }.
% 1.78/2.20 substitution0:
% 1.78/2.20 X := X
% 1.78/2.20 Y := Y
% 1.78/2.20 Z := Z
% 1.78/2.20 end
% 1.78/2.20 permutation0:
% 1.78/2.20 0 ==> 0
% 1.78/2.20 1 ==> 1
% 1.78/2.20 end
% 1.78/2.20
% 1.78/2.20 resolution: (16192) {G1,W4,D2,L1,V0,M1} { coll( skol28, skol28, skol24 )
% 1.78/2.20 }.
% 1.78/2.20 parent0[0]: (0) {G0,W8,D2,L2,V3,M2} I { ! coll( X, Y, Z ), coll( X, Z, Y )
% 1.78/2.20 }.
% 1.78/2.20 parent1[0]: (247) {G3,W4,D2,L1,V0,M1} R(205,175) { coll( skol28, skol24,
% 1.78/2.20 skol28 ) }.
% 1.78/2.20 substitution0:
% 1.78/2.20 X := skol28
% 1.78/2.20 Y := skol24
% 1.78/2.20 Z := skol28
% 1.78/2.20 end
% 1.78/2.20 substitution1:
% 1.78/2.20 end
% 1.78/2.20
% 1.78/2.20 subsumption: (290) {G4,W4,D2,L1,V0,M1} R(247,0) { coll( skol28, skol28,
% 1.78/2.20 skol24 ) }.
% 1.78/2.20 parent0: (16192) {G1,W4,D2,L1,V0,M1} { coll( skol28, skol28, skol24 ) }.
% 1.78/2.20 substitution0:
% 1.78/2.20 end
% 1.78/2.20 permutation0:
% 1.78/2.20 0 ==> 0
% 1.78/2.20 end
% 1.78/2.20
% 1.78/2.20 resolution: (16193) {G1,W8,D2,L2,V1,M2} { ! coll( skol28, skol28, X ),
% 1.78/2.20 coll( skol24, X, skol28 ) }.
% 1.78/2.20 parent0[0]: (2) {G0,W12,D2,L3,V4,M3} I { ! coll( X, T, Y ), ! coll( X, T, Z
% 1.78/2.20 ), coll( Y, Z, X ) }.
% 1.78/2.20 parent1[0]: (290) {G4,W4,D2,L1,V0,M1} R(247,0) { coll( skol28, skol28,
% 1.78/2.20 skol24 ) }.
% 1.78/2.20 substitution0:
% 1.78/2.20 X := skol28
% 1.78/2.20 Y := skol24
% 1.78/2.20 Z := X
% 1.78/2.20 T := skol28
% 1.78/2.20 end
% 1.78/2.20 substitution1:
% 1.78/2.20 end
% 1.78/2.20
% 1.78/2.20 subsumption: (292) {G5,W8,D2,L2,V1,M2} R(290,2) { ! coll( skol28, skol28, X
% 1.78/2.20 ), coll( skol24, X, skol28 ) }.
% 1.78/2.20 parent0: (16193) {G1,W8,D2,L2,V1,M2} { ! coll( skol28, skol28, X ), coll(
% 1.78/2.20 skol24, X, skol28 ) }.
% 1.78/2.20 substitution0:
% 1.78/2.20 X := X
% 1.78/2.20 end
% 1.78/2.20 permutation0:
% 1.78/2.20 0 ==> 0
% 1.78/2.20 1 ==> 1
% 1.78/2.20 end
% 1.78/2.20
% 1.78/2.20 resolution: (16195) {G1,W4,D2,L1,V0,M1} { coll( skol24, skol24, skol27 )
% 1.78/2.20 }.
% 1.78/2.20 parent0[0]: (0) {G0,W8,D2,L2,V3,M2} I { ! coll( X, Y, Z ), coll( X, Z, Y )
% 1.78/2.20 }.
% 1.78/2.20 parent1[0]: (251) {G3,W4,D2,L1,V0,M1} R(205,171) { coll( skol24, skol27,
% 1.78/2.20 skol24 ) }.
% 1.78/2.20 substitution0:
% 1.78/2.20 X := skol24
% 1.78/2.20 Y := skol27
% 1.78/2.20 Z := skol24
% 1.78/2.20 end
% 1.78/2.20 substitution1:
% 1.78/2.20 end
% 1.78/2.20
% 1.78/2.20 subsumption: (347) {G4,W4,D2,L1,V0,M1} R(251,0) { coll( skol24, skol24,
% 1.78/2.20 skol27 ) }.
% 1.78/2.20 parent0: (16195) {G1,W4,D2,L1,V0,M1} { coll( skol24, skol24, skol27 ) }.
% 1.78/2.20 substitution0:
% 1.78/2.20 end
% 1.78/2.20 permutation0:
% 1.78/2.20 0 ==> 0
% 1.78/2.20 end
% 1.78/2.20
% 1.78/2.20 resolution: (16196) {G1,W8,D2,L2,V1,M2} { ! coll( skol24, skol24, X ),
% 1.78/2.20 coll( skol27, X, skol24 ) }.
% 1.78/2.20 parent0[0]: (2) {G0,W12,D2,L3,V4,M3} I { ! coll( X, T, Y ), ! coll( X, T, Z
% 1.78/2.20 ), coll( Y, Z, X ) }.
% 1.78/2.20 parent1[0]: (347) {G4,W4,D2,L1,V0,M1} R(251,0) { coll( skol24, skol24,
% 1.78/2.20 skol27 ) }.
% 1.78/2.20 substitution0:
% 1.78/2.20 X := skol24
% 1.78/2.20 Y := skol27
% 1.78/2.20 Z := X
% 1.78/2.20 T := skol24
% 1.78/2.20 end
% 1.78/2.20 substitution1:
% 1.78/2.20 end
% 1.78/2.20
% 1.78/2.20 subsumption: (349) {G5,W8,D2,L2,V1,M2} R(347,2) { ! coll( skol24, skol24, X
% 1.78/2.20 ), coll( skol27, X, skol24 ) }.
% 1.78/2.20 parent0: (16196) {G1,W8,D2,L2,V1,M2} { ! coll( skol24, skol24, X ), coll(
% 1.78/2.20 skol27, X, skol24 ) }.
% 1.78/2.20 substitution0:
% 1.78/2.20 X := X
% 1.78/2.20 end
% 1.78/2.20 permutation0:
% 1.78/2.20 0 ==> 0
% 1.78/2.20 1 ==> 1
% 1.78/2.20 end
% 1.78/2.20
% 1.78/2.20 resolution: (16198) {G1,W4,D2,L1,V0,M1} { coll( skol24, skol24, skol28 )
% 1.78/2.20 }.
% 1.78/2.20 parent0[0]: (0) {G0,W8,D2,L2,V3,M2} I { ! coll( X, Y, Z ), coll( X, Z, Y )
% 1.78/2.20 }.
% 1.78/2.20 parent1[0]: (254) {G3,W4,D2,L1,V0,M1} R(205,170) { coll( skol24, skol28,
% 1.78/2.20 skol24 ) }.
% 1.78/2.20 substitution0:
% 1.78/2.20 X := skol24
% 1.78/2.20 Y := skol28
% 1.78/2.20 Z := skol24
% 1.78/2.20 end
% 1.78/2.20 substitution1:
% 1.78/2.20 end
% 1.78/2.20
% 1.78/2.20 subsumption: (366) {G4,W4,D2,L1,V0,M1} R(254,0) { coll( skol24, skol24,
% 1.78/2.20 skol28 ) }.
% 1.78/2.20 parent0: (16198) {G1,W4,D2,L1,V0,M1} { coll( skol24, skol24, skol28 ) }.
% 1.78/2.20 substitution0:
% 1.78/2.20 end
% 1.78/2.20 permutation0:
% 1.78/2.20 0 ==> 0
% 1.78/2.20 end
% 1.78/2.20
% 1.78/2.20 resolution: (16199) {G1,W4,D2,L1,V0,M1} { coll( skol27, skol27, skol20 )
% 1.78/2.20 }.
% 1.78/2.20 parent0[0]: (0) {G0,W8,D2,L2,V3,M2} I { ! coll( X, Y, Z ), coll( X, Z, Y )
% 1.78/2.20 }.
% 1.78/2.20 parent1[0]: (266) {G3,W4,D2,L1,V0,M1} R(205,120) { coll( skol27, skol20,
% 1.78/2.20 skol27 ) }.
% 1.78/2.20 substitution0:
% 1.78/2.20 X := skol27
% 1.78/2.20 Y := skol20
% 1.78/2.20 Z := skol27
% 1.78/2.20 end
% 1.78/2.20 substitution1:
% 1.78/2.20 end
% 1.78/2.20
% 1.78/2.20 subsumption: (441) {G4,W4,D2,L1,V0,M1} R(266,0) { coll( skol27, skol27,
% 1.78/2.20 skol20 ) }.
% 1.78/2.20 parent0: (16199) {G1,W4,D2,L1,V0,M1} { coll( skol27, skol27, skol20 ) }.
% 1.78/2.20 substitution0:
% 1.78/2.20 end
% 1.78/2.20 permutation0:
% 1.78/2.20 0 ==> 0
% 1.78/2.20 end
% 1.78/2.20
% 1.78/2.20 resolution: (16200) {G1,W4,D2,L1,V0,M1} { coll( skol27, skol27, skol23 )
% 1.78/2.20 }.
% 1.78/2.20 parent0[0]: (0) {G0,W8,D2,L2,V3,M2} I { ! coll( X, Y, Z ), coll( X, Z, Y )
% 1.78/2.20 }.
% 1.78/2.20 parent1[0]: (268) {G3,W4,D2,L1,V0,M1} R(205,125) { coll( skol27, skol23,
% 1.78/2.20 skol27 ) }.
% 1.78/2.20 substitution0:
% 1.78/2.20 X := skol27
% 1.78/2.20 Y := skol23
% 1.78/2.20 Z := skol27
% 1.78/2.20 end
% 1.78/2.20 substitution1:
% 1.78/2.20 end
% 1.78/2.20
% 1.78/2.20 subsumption: (456) {G4,W4,D2,L1,V0,M1} R(268,0) { coll( skol27, skol27,
% 1.78/2.20 skol23 ) }.
% 1.78/2.20 parent0: (16200) {G1,W4,D2,L1,V0,M1} { coll( skol27, skol27, skol23 ) }.
% 1.78/2.20 substitution0:
% 1.78/2.20 end
% 1.78/2.20 permutation0:
% 1.78/2.20 0 ==> 0
% 1.78/2.20 end
% 1.78/2.20
% 1.78/2.20 resolution: (16201) {G1,W8,D2,L2,V1,M2} { ! coll( skol27, skol27, X ),
% 1.78/2.20 coll( skol23, X, skol27 ) }.
% 1.78/2.20 parent0[0]: (2) {G0,W12,D2,L3,V4,M3} I { ! coll( X, T, Y ), ! coll( X, T, Z
% 1.78/2.20 ), coll( Y, Z, X ) }.
% 1.78/2.20 parent1[0]: (456) {G4,W4,D2,L1,V0,M1} R(268,0) { coll( skol27, skol27,
% 1.78/2.20 skol23 ) }.
% 1.78/2.20 substitution0:
% 1.78/2.20 X := skol27
% 1.78/2.20 Y := skol23
% 1.78/2.20 Z := X
% 1.78/2.20 T := skol27
% 1.78/2.20 end
% 1.78/2.20 substitution1:
% 1.78/2.20 end
% 1.78/2.20
% 1.78/2.20 subsumption: (470) {G5,W8,D2,L2,V1,M2} R(456,2) { ! coll( skol27, skol27, X
% 1.78/2.20 ), coll( skol23, X, skol27 ) }.
% 1.78/2.20 parent0: (16201) {G1,W8,D2,L2,V1,M2} { ! coll( skol27, skol27, X ), coll(
% 1.78/2.20 skol23, X, skol27 ) }.
% 1.78/2.20 substitution0:
% 1.78/2.20 X := X
% 1.78/2.20 end
% 1.78/2.20 permutation0:
% 1.78/2.20 0 ==> 0
% 1.78/2.20 1 ==> 1
% 1.78/2.20 end
% 1.78/2.20
% 1.78/2.20 resolution: (16204) {G1,W8,D2,L2,V3,M2} { coll( Y, X, X ), ! coll( X, Z, Y
% 1.78/2.20 ) }.
% 1.78/2.20 parent0[0]: (1) {G0,W8,D2,L2,V3,M2} I { ! coll( X, Y, Z ), coll( Y, X, Z )
% 1.78/2.20 }.
% 1.78/2.20 parent1[0]: (269) {G4,W8,D2,L2,V3,M2} F(257) { coll( X, Y, X ), ! coll( X,
% 1.78/2.20 Z, Y ) }.
% 1.78/2.20 substitution0:
% 1.78/2.20 X := X
% 1.78/2.20 Y := Y
% 1.78/2.20 Z := X
% 1.78/2.20 end
% 1.78/2.20 substitution1:
% 1.78/2.20 X := X
% 1.78/2.20 Y := Y
% 1.78/2.20 Z := Z
% 1.78/2.20 end
% 1.78/2.20
% 1.78/2.20 subsumption: (633) {G5,W8,D2,L2,V3,M2} R(269,1) { ! coll( X, Y, Z ), coll(
% 1.78/2.20 Z, X, X ) }.
% 1.78/2.20 parent0: (16204) {G1,W8,D2,L2,V3,M2} { coll( Y, X, X ), ! coll( X, Z, Y )
% 1.78/2.20 }.
% 1.78/2.20 substitution0:
% 1.78/2.20 X := X
% 1.78/2.20 Y := Z
% 1.78/2.20 Z := Y
% 1.78/2.20 end
% 1.78/2.20 permutation0:
% 1.78/2.20 0 ==> 1
% 1.78/2.20 1 ==> 0
% 1.78/2.20 end
% 1.78/2.20
% 1.78/2.20 resolution: (16205) {G1,W8,D2,L2,V3,M2} { coll( Z, X, X ), ! coll( X, Z, Y
% 1.78/2.20 ) }.
% 1.78/2.20 parent0[0]: (633) {G5,W8,D2,L2,V3,M2} R(269,1) { ! coll( X, Y, Z ), coll( Z
% 1.78/2.20 , X, X ) }.
% 1.78/2.20 parent1[1]: (0) {G0,W8,D2,L2,V3,M2} I { ! coll( X, Y, Z ), coll( X, Z, Y )
% 1.78/2.20 }.
% 1.78/2.20 substitution0:
% 1.78/2.20 X := X
% 1.78/2.20 Y := Y
% 1.78/2.20 Z := Z
% 1.78/2.20 end
% 1.78/2.20 substitution1:
% 1.78/2.20 X := X
% 1.78/2.20 Y := Z
% 1.78/2.20 Z := Y
% 1.78/2.20 end
% 1.78/2.20
% 1.78/2.20 subsumption: (639) {G6,W8,D2,L2,V3,M2} R(633,0) { coll( X, Y, Y ), ! coll(
% 1.78/2.20 Y, X, Z ) }.
% 1.78/2.20 parent0: (16205) {G1,W8,D2,L2,V3,M2} { coll( Z, X, X ), ! coll( X, Z, Y )
% 1.78/2.20 }.
% 1.78/2.20 substitution0:
% 1.78/2.20 X := Y
% 1.78/2.20 Y := Z
% 1.78/2.20 Z := X
% 1.78/2.20 end
% 1.78/2.20 permutation0:
% 1.78/2.20 0 ==> 0
% 1.78/2.20 1 ==> 1
% 1.78/2.20 end
% 1.78/2.20
% 1.78/2.20 resolution: (16206) {G7,W8,D2,L2,V3,M2} { coll( X, Y, Y ), ! coll( X, Y, Z
% 1.78/2.20 ) }.
% 1.78/2.20 parent0[1]: (639) {G6,W8,D2,L2,V3,M2} R(633,0) { coll( X, Y, Y ), ! coll( Y
% 1.78/2.20 , X, Z ) }.
% 1.78/2.20 parent1[0]: (639) {G6,W8,D2,L2,V3,M2} R(633,0) { coll( X, Y, Y ), ! coll( Y
% 1.78/2.20 , X, Z ) }.
% 1.78/2.20 substitution0:
% 1.78/2.20 X := X
% 1.78/2.20 Y := Y
% 1.78/2.20 Z := X
% 1.78/2.20 end
% 1.78/2.20 substitution1:
% 1.78/2.20 X := Y
% 1.78/2.20 Y := X
% 1.78/2.20 Z := Z
% 1.78/2.20 end
% 1.78/2.20
% 1.78/2.20 subsumption: (643) {G7,W8,D2,L2,V3,M2} R(639,639) { ! coll( X, Y, Z ), coll
% 1.78/2.20 ( X, Y, Y ) }.
% 1.78/2.20 parent0: (16206) {G7,W8,D2,L2,V3,M2} { coll( X, Y, Y ), ! coll( X, Y, Z )
% 1.78/2.20 }.
% 1.78/2.20 substitution0:
% 1.78/2.20 X := X
% 1.78/2.20 Y := Y
% 1.78/2.20 Z := Z
% 1.78/2.20 end
% 1.78/2.20 permutation0:
% 1.78/2.20 0 ==> 1
% 1.78/2.20 1 ==> 0
% 1.78/2.20 end
% 1.78/2.20
% 1.78/2.20 resolution: (16210) {G1,W12,D2,L3,V4,M3} { ! coll( X, Y, Z ), coll( Z, Y,
% 1.78/2.20 X ), ! coll( X, Y, T ) }.
% 1.78/2.20 parent0[1]: (2) {G0,W12,D2,L3,V4,M3} I { ! coll( X, T, Y ), ! coll( X, T, Z
% 1.78/2.20 ), coll( Y, Z, X ) }.
% 1.78/2.20 parent1[1]: (643) {G7,W8,D2,L2,V3,M2} R(639,639) { ! coll( X, Y, Z ), coll
% 1.78/2.20 ( X, Y, Y ) }.
% 1.78/2.20 substitution0:
% 1.78/2.20 X := X
% 1.78/2.20 Y := Z
% 1.78/2.20 Z := Y
% 1.78/2.20 T := Y
% 1.78/2.20 end
% 1.78/2.20 substitution1:
% 1.78/2.20 X := X
% 1.78/2.20 Y := Y
% 1.78/2.20 Z := T
% 1.78/2.20 end
% 1.78/2.20
% 1.78/2.20 subsumption: (646) {G8,W12,D2,L3,V4,M3} R(643,2) { ! coll( X, Y, Z ), !
% 1.78/2.20 coll( X, Y, T ), coll( T, Y, X ) }.
% 1.78/2.20 parent0: (16210) {G1,W12,D2,L3,V4,M3} { ! coll( X, Y, Z ), coll( Z, Y, X )
% 1.78/2.20 , ! coll( X, Y, T ) }.
% 1.78/2.20 substitution0:
% 1.78/2.20 X := X
% 1.78/2.20 Y := Y
% 1.78/2.20 Z := T
% 1.78/2.20 T := Z
% 1.78/2.20 end
% 1.78/2.20 permutation0:
% 1.78/2.20 0 ==> 1
% 1.78/2.20 1 ==> 2
% 1.78/2.20 2 ==> 0
% 1.78/2.20 end
% 1.78/2.20
% 1.78/2.20 factor: (16213) {G8,W8,D2,L2,V3,M2} { ! coll( X, Y, Z ), coll( Z, Y, X )
% 1.78/2.20 }.
% 1.78/2.20 parent0[0, 1]: (646) {G8,W12,D2,L3,V4,M3} R(643,2) { ! coll( X, Y, Z ), !
% 1.78/2.20 coll( X, Y, T ), coll( T, Y, X ) }.
% 1.78/2.20 substitution0:
% 1.78/2.20 X := X
% 1.78/2.20 Y := Y
% 1.78/2.20 Z := Z
% 1.78/2.20 T := Z
% 1.78/2.20 end
% 1.78/2.20
% 1.78/2.20 subsumption: (647) {G9,W8,D2,L2,V3,M2} F(646) { ! coll( X, Y, Z ), coll( Z
% 1.78/2.20 , Y, X ) }.
% 1.78/2.20 parent0: (16213) {G8,W8,D2,L2,V3,M2} { ! coll( X, Y, Z ), coll( Z, Y, X )
% 1.78/2.20 }.
% 1.78/2.20 substitution0:
% 1.78/2.20 X := X
% 1.78/2.20 Y := Y
% 1.78/2.20 Z := Z
% 1.78/2.20 end
% 1.78/2.20 permutation0:
% 1.78/2.20 0 ==> 0
% 1.78/2.20 1 ==> 1
% 1.78/2.20 end
% 1.78/2.20
% 1.78/2.20 resolution: (16214) {G8,W8,D2,L2,V3,M2} { coll( Y, Y, X ), ! coll( X, Y, Z
% 1.78/2.20 ) }.
% 1.78/2.20 parent0[0]: (647) {G9,W8,D2,L2,V3,M2} F(646) { ! coll( X, Y, Z ), coll( Z,
% 1.78/2.20 Y, X ) }.
% 1.78/2.20 parent1[1]: (643) {G7,W8,D2,L2,V3,M2} R(639,639) { ! coll( X, Y, Z ), coll
% 1.78/2.20 ( X, Y, Y ) }.
% 1.78/2.20 substitution0:
% 1.78/2.20 X := X
% 1.78/2.20 Y := Y
% 1.78/2.20 Z := Y
% 1.78/2.20 end
% 1.78/2.20 substitution1:
% 1.78/2.20 X := X
% 1.78/2.20 Y := Y
% 1.78/2.20 Z := Z
% 1.78/2.20 end
% 1.78/2.20
% 1.78/2.20 subsumption: (648) {G10,W8,D2,L2,V3,M2} R(647,643) { coll( X, X, Y ), !
% 1.78/2.20 coll( Y, X, Z ) }.
% 1.78/2.20 parent0: (16214) {G8,W8,D2,L2,V3,M2} { coll( Y, Y, X ), ! coll( X, Y, Z )
% 1.78/2.20 }.
% 1.78/2.20 substitution0:
% 1.78/2.20 X := Y
% 1.78/2.20 Y := X
% 1.78/2.20 Z := Z
% 1.78/2.20 end
% 1.78/2.20 permutation0:
% 1.78/2.20 0 ==> 0
% 1.78/2.20 1 ==> 1
% 1.78/2.20 end
% 1.78/2.20
% 1.78/2.20 resolution: (16215) {G7,W8,D2,L2,V3,M2} { coll( Y, Y, X ), ! coll( Y, X, Z
% 1.78/2.20 ) }.
% 1.78/2.20 parent0[0]: (647) {G9,W8,D2,L2,V3,M2} F(646) { ! coll( X, Y, Z ), coll( Z,
% 1.78/2.20 Y, X ) }.
% 1.78/2.20 parent1[0]: (639) {G6,W8,D2,L2,V3,M2} R(633,0) { coll( X, Y, Y ), ! coll( Y
% 1.78/2.20 , X, Z ) }.
% 1.78/2.20 substitution0:
% 1.78/2.20 X := X
% 1.78/2.20 Y := Y
% 1.78/2.20 Z := Y
% 1.78/2.20 end
% 1.78/2.20 substitution1:
% 1.78/2.20 X := X
% 1.78/2.20 Y := Y
% 1.78/2.20 Z := Z
% 1.78/2.20 end
% 1.78/2.20
% 1.78/2.20 subsumption: (649) {G10,W8,D2,L2,V3,M2} R(647,639) { coll( X, X, Y ), !
% 1.78/2.20 coll( X, Y, Z ) }.
% 1.78/2.20 parent0: (16215) {G7,W8,D2,L2,V3,M2} { coll( Y, Y, X ), ! coll( Y, X, Z )
% 1.78/2.20 }.
% 1.78/2.20 substitution0:
% 1.78/2.20 X := Y
% 1.78/2.20 Y := X
% 1.78/2.20 Z := Z
% 1.78/2.20 end
% 1.78/2.20 permutation0:
% 1.78/2.20 0 ==> 0
% 1.78/2.20 1 ==> 1
% 1.78/2.20 end
% 1.78/2.20
% 1.78/2.20 resolution: (16216) {G2,W8,D2,L2,V2,M2} { coll( skol23, X, skol27 ), !
% 1.78/2.20 coll( X, Y, skol27 ) }.
% 1.78/2.20 parent0[0]: (470) {G5,W8,D2,L2,V1,M2} R(456,2) { ! coll( skol27, skol27, X
% 1.78/2.20 ), coll( skol23, X, skol27 ) }.
% 1.78/2.20 parent1[1]: (127) {G1,W8,D2,L2,V3,M2} F(2) { ! coll( X, Y, Z ), coll( Z, Z
% 1.78/2.20 , X ) }.
% 1.78/2.20 substitution0:
% 1.78/2.20 X := X
% 1.78/2.20 end
% 1.78/2.20 substitution1:
% 1.78/2.20 X := X
% 1.78/2.20 Y := Y
% 1.78/2.20 Z := skol27
% 1.78/2.20 end
% 1.78/2.20
% 1.78/2.20 subsumption: (915) {G6,W8,D2,L2,V2,M2} R(470,127) { coll( skol23, X, skol27
% 1.78/2.20 ), ! coll( X, Y, skol27 ) }.
% 1.78/2.20 parent0: (16216) {G2,W8,D2,L2,V2,M2} { coll( skol23, X, skol27 ), ! coll(
% 1.78/2.20 X, Y, skol27 ) }.
% 1.78/2.20 substitution0:
% 1.78/2.20 X := X
% 1.78/2.20 Y := Y
% 1.78/2.20 end
% 1.78/2.20 permutation0:
% 1.78/2.20 0 ==> 0
% 1.78/2.20 1 ==> 1
% 1.78/2.20 end
% 1.78/2.20
% 1.78/2.20 resolution: (16217) {G5,W4,D2,L1,V0,M1} { coll( skol23, skol20, skol27 )
% 1.78/2.20 }.
% 1.78/2.20 parent0[0]: (470) {G5,W8,D2,L2,V1,M2} R(456,2) { ! coll( skol27, skol27, X
% 1.78/2.20 ), coll( skol23, X, skol27 ) }.
% 1.78/2.20 parent1[0]: (441) {G4,W4,D2,L1,V0,M1} R(266,0) { coll( skol27, skol27,
% 1.78/2.20 skol20 ) }.
% 1.78/2.20 substitution0:
% 1.78/2.20 X := skol20
% 1.78/2.20 end
% 1.78/2.20 substitution1:
% 1.78/2.20 end
% 1.78/2.20
% 1.78/2.20 subsumption: (940) {G6,W4,D2,L1,V0,M1} R(470,441) { coll( skol23, skol20,
% 1.78/2.20 skol27 ) }.
% 1.78/2.20 parent0: (16217) {G5,W4,D2,L1,V0,M1} { coll( skol23, skol20, skol27 ) }.
% 1.78/2.20 substitution0:
% 1.78/2.20 end
% 1.78/2.20 permutation0:
% 1.78/2.20 0 ==> 0
% 1.78/2.20 end
% 1.78/2.20
% 1.78/2.20 resolution: (16218) {G7,W4,D2,L1,V0,M1} { coll( skol23, skol23, skol20 )
% 1.78/2.20 }.
% 1.78/2.20 parent0[1]: (649) {G10,W8,D2,L2,V3,M2} R(647,639) { coll( X, X, Y ), ! coll
% 1.78/2.20 ( X, Y, Z ) }.
% 1.78/2.20 parent1[0]: (940) {G6,W4,D2,L1,V0,M1} R(470,441) { coll( skol23, skol20,
% 1.78/2.20 skol27 ) }.
% 1.78/2.20 substitution0:
% 1.78/2.20 X := skol23
% 1.78/2.20 Y := skol20
% 1.78/2.20 Z := skol27
% 1.78/2.20 end
% 1.78/2.20 substitution1:
% 1.78/2.20 end
% 1.78/2.20
% 1.78/2.20 subsumption: (950) {G11,W4,D2,L1,V0,M1} R(940,649) { coll( skol23, skol23,
% 1.78/2.20 skol20 ) }.
% 1.78/2.20 parent0: (16218) {G7,W4,D2,L1,V0,M1} { coll( skol23, skol23, skol20 ) }.
% 1.78/2.20 substitution0:
% 1.78/2.20 end
% 1.78/2.20 permutation0:
% 1.78/2.20 0 ==> 0
% 1.78/2.20 end
% 1.78/2.20
% 1.78/2.20 resolution: (16220) {G2,W8,D2,L2,V2,M2} { coll( X, skol27, skol23 ), !
% 1.78/2.20 coll( X, Y, skol27 ) }.
% 1.78/2.20 parent0[0]: (173) {G1,W8,D2,L2,V3,M2} R(1,0) { ! coll( X, Y, Z ), coll( Y,
% 1.78/2.20 Z, X ) }.
% 1.78/2.20 parent1[0]: (915) {G6,W8,D2,L2,V2,M2} R(470,127) { coll( skol23, X, skol27
% 1.78/2.20 ), ! coll( X, Y, skol27 ) }.
% 1.78/2.20 substitution0:
% 1.78/2.20 X := skol23
% 1.78/2.20 Y := X
% 1.78/2.20 Z := skol27
% 1.78/2.20 end
% 1.78/2.20 substitution1:
% 1.78/2.20 X := X
% 1.78/2.20 Y := Y
% 1.78/2.20 end
% 1.78/2.20
% 1.78/2.20 subsumption: (1245) {G7,W8,D2,L2,V2,M2} R(915,173) { ! coll( X, Y, skol27 )
% 1.78/2.20 , coll( X, skol27, skol23 ) }.
% 1.78/2.20 parent0: (16220) {G2,W8,D2,L2,V2,M2} { coll( X, skol27, skol23 ), ! coll(
% 1.78/2.20 X, Y, skol27 ) }.
% 1.78/2.20 substitution0:
% 1.78/2.20 X := X
% 1.78/2.20 Y := Y
% 1.78/2.20 end
% 1.78/2.20 permutation0:
% 1.78/2.20 0 ==> 1
% 1.78/2.20 1 ==> 0
% 1.78/2.20 end
% 1.78/2.20
% 1.78/2.20 resolution: (16221) {G2,W8,D2,L2,V2,M2} { coll( X, skol27, skol23 ), !
% 1.78/2.20 coll( skol27, Y, X ) }.
% 1.78/2.20 parent0[0]: (1245) {G7,W8,D2,L2,V2,M2} R(915,173) { ! coll( X, Y, skol27 )
% 1.78/2.20 , coll( X, skol27, skol23 ) }.
% 1.78/2.20 parent1[1]: (127) {G1,W8,D2,L2,V3,M2} F(2) { ! coll( X, Y, Z ), coll( Z, Z
% 1.78/2.20 , X ) }.
% 1.78/2.20 substitution0:
% 1.78/2.20 X := X
% 1.78/2.20 Y := X
% 1.78/2.20 end
% 1.78/2.20 substitution1:
% 1.78/2.20 X := skol27
% 1.78/2.20 Y := Y
% 1.78/2.20 Z := X
% 1.78/2.20 end
% 1.78/2.20
% 1.78/2.20 subsumption: (1258) {G8,W8,D2,L2,V2,M2} R(1245,127) { coll( X, skol27,
% 1.78/2.20 skol23 ), ! coll( skol27, Y, X ) }.
% 1.78/2.20 parent0: (16221) {G2,W8,D2,L2,V2,M2} { coll( X, skol27, skol23 ), ! coll(
% 1.78/2.20 skol27, Y, X ) }.
% 1.78/2.20 substitution0:
% 1.78/2.20 X := X
% 1.78/2.20 Y := Y
% 1.78/2.20 end
% 1.78/2.20 permutation0:
% 1.78/2.20 0 ==> 0
% 1.78/2.20 1 ==> 1
% 1.78/2.20 end
% 1.78/2.20
% 1.78/2.20 resolution: (16223) {G2,W8,D2,L2,V2,M2} { coll( skol23, skol23, X ), !
% 1.78/2.20 coll( skol27, Y, X ) }.
% 1.78/2.20 parent0[0]: (127) {G1,W8,D2,L2,V3,M2} F(2) { ! coll( X, Y, Z ), coll( Z, Z
% 1.78/2.20 , X ) }.
% 1.78/2.20 parent1[0]: (1258) {G8,W8,D2,L2,V2,M2} R(1245,127) { coll( X, skol27,
% 1.78/2.20 skol23 ), ! coll( skol27, Y, X ) }.
% 1.78/2.20 substitution0:
% 1.78/2.20 X := X
% 1.78/2.20 Y := skol27
% 1.78/2.20 Z := skol23
% 1.78/2.20 end
% 1.78/2.20 substitution1:
% 1.78/2.20 X := X
% 1.78/2.20 Y := Y
% 1.78/2.20 end
% 1.78/2.20
% 1.78/2.20 subsumption: (1287) {G9,W8,D2,L2,V2,M2} R(1258,127) { ! coll( skol27, X, Y
% 1.78/2.20 ), coll( skol23, skol23, Y ) }.
% 1.78/2.20 parent0: (16223) {G2,W8,D2,L2,V2,M2} { coll( skol23, skol23, X ), ! coll(
% 1.78/2.20 skol27, Y, X ) }.
% 1.78/2.20 substitution0:
% 1.78/2.20 X := Y
% 1.78/2.20 Y := X
% 1.78/2.20 end
% 1.78/2.20 permutation0:
% 1.78/2.20 0 ==> 1
% 1.78/2.20 1 ==> 0
% 1.78/2.20 end
% 1.78/2.20
% 1.78/2.20 resolution: (16224) {G2,W8,D2,L2,V2,M2} { coll( skol23, skol23, Y ), !
% 1.78/2.20 coll( Y, skol27, X ) }.
% 1.78/2.20 parent0[0]: (1287) {G9,W8,D2,L2,V2,M2} R(1258,127) { ! coll( skol27, X, Y )
% 1.78/2.20 , coll( skol23, skol23, Y ) }.
% 1.78/2.20 parent1[1]: (173) {G1,W8,D2,L2,V3,M2} R(1,0) { ! coll( X, Y, Z ), coll( Y,
% 1.78/2.20 Z, X ) }.
% 1.78/2.20 substitution0:
% 1.78/2.20 X := X
% 1.78/2.20 Y := Y
% 1.78/2.20 end
% 1.78/2.20 substitution1:
% 1.78/2.20 X := Y
% 1.78/2.20 Y := skol27
% 1.78/2.20 Z := X
% 1.78/2.20 end
% 1.78/2.20
% 1.78/2.20 subsumption: (1305) {G10,W8,D2,L2,V2,M2} R(1287,173) { coll( skol23, skol23
% 1.78/2.20 , X ), ! coll( X, skol27, Y ) }.
% 1.78/2.20 parent0: (16224) {G2,W8,D2,L2,V2,M2} { coll( skol23, skol23, Y ), ! coll(
% 1.78/2.20 Y, skol27, X ) }.
% 1.78/2.20 substitution0:
% 1.78/2.20 X := Y
% 1.78/2.20 Y := X
% 1.78/2.20 end
% 1.78/2.20 permutation0:
% 1.78/2.20 0 ==> 0
% 1.78/2.20 1 ==> 1
% 1.78/2.20 end
% 1.78/2.20
% 1.78/2.20 resolution: (16226) {G2,W8,D2,L2,V2,M2} { coll( X, X, skol23 ), ! coll( X
% 1.78/2.20 , skol27, Y ) }.
% 1.78/2.20 parent0[0]: (127) {G1,W8,D2,L2,V3,M2} F(2) { ! coll( X, Y, Z ), coll( Z, Z
% 1.78/2.20 , X ) }.
% 1.78/2.20 parent1[0]: (1305) {G10,W8,D2,L2,V2,M2} R(1287,173) { coll( skol23, skol23
% 1.78/2.20 , X ), ! coll( X, skol27, Y ) }.
% 1.78/2.20 substitution0:
% 1.78/2.20 X := skol23
% 1.78/2.20 Y := skol23
% 1.78/2.20 Z := X
% 1.78/2.20 end
% 1.78/2.20 substitution1:
% 1.78/2.20 X := X
% 1.78/2.20 Y := Y
% 1.78/2.20 end
% 1.78/2.20
% 1.78/2.20 subsumption: (1795) {G11,W8,D2,L2,V2,M2} R(1305,127) { ! coll( X, skol27, Y
% 1.78/2.20 ), coll( X, X, skol23 ) }.
% 1.78/2.20 parent0: (16226) {G2,W8,D2,L2,V2,M2} { coll( X, X, skol23 ), ! coll( X,
% 1.78/2.20 skol27, Y ) }.
% 1.78/2.20 substitution0:
% 1.78/2.20 X := X
% 1.78/2.20 Y := Y
% 1.78/2.20 end
% 1.78/2.20 permutation0:
% 1.78/2.20 0 ==> 1
% 1.78/2.20 1 ==> 0
% 1.78/2.20 end
% 1.78/2.20
% 1.78/2.20 resolution: (16227) {G4,W8,D2,L2,V2,M2} { coll( X, X, skol23 ), ! coll(
% 1.78/2.20 skol27, X, Y ) }.
% 1.78/2.20 parent0[0]: (1795) {G11,W8,D2,L2,V2,M2} R(1305,127) { ! coll( X, skol27, Y
% 1.78/2.20 ), coll( X, X, skol23 ) }.
% 1.78/2.20 parent1[0]: (265) {G3,W8,D2,L2,V3,M2} R(205,0) { coll( X, Y, X ), ! coll( Y
% 1.78/2.20 , X, Z ) }.
% 1.78/2.20 substitution0:
% 1.78/2.20 X := X
% 1.78/2.20 Y := X
% 1.78/2.20 end
% 1.78/2.20 substitution1:
% 1.78/2.20 X := X
% 1.78/2.20 Y := skol27
% 1.78/2.20 Z := Y
% 1.78/2.20 end
% 1.78/2.20
% 1.78/2.20 subsumption: (1805) {G12,W8,D2,L2,V2,M2} R(1795,265) { coll( X, X, skol23 )
% 1.78/2.20 , ! coll( skol27, X, Y ) }.
% 1.78/2.20 parent0: (16227) {G4,W8,D2,L2,V2,M2} { coll( X, X, skol23 ), ! coll(
% 1.78/2.20 skol27, X, Y ) }.
% 1.78/2.20 substitution0:
% 1.78/2.20 X := X
% 1.78/2.20 Y := Y
% 1.78/2.20 end
% 1.78/2.20 permutation0:
% 1.78/2.20 0 ==> 0
% 1.78/2.20 1 ==> 1
% 1.78/2.20 end
% 1.78/2.20
% 1.78/2.20 resolution: (16228) {G4,W8,D2,L2,V1,M2} { ! coll( skol23, skol23, skol20 )
% 1.78/2.20 , ! coll( skol22, skol23, X ) }.
% 1.78/2.20 parent0[0]: (186) {G3,W8,D2,L2,V1,M2} R(2,168) { ! coll( skol23, X, skol22
% 1.78/2.20 ), ! coll( skol23, X, skol20 ) }.
% 1.78/2.20 parent1[0]: (648) {G10,W8,D2,L2,V3,M2} R(647,643) { coll( X, X, Y ), ! coll
% 1.78/2.20 ( Y, X, Z ) }.
% 1.78/2.20 substitution0:
% 1.78/2.20 X := skol23
% 1.78/2.20 end
% 1.78/2.20 substitution1:
% 1.78/2.20 X := skol23
% 1.78/2.20 Y := skol22
% 1.78/2.20 Z := X
% 1.78/2.20 end
% 1.78/2.20
% 1.78/2.20 resolution: (16230) {G5,W4,D2,L1,V1,M1} { ! coll( skol22, skol23, X ) }.
% 1.78/2.20 parent0[0]: (16228) {G4,W8,D2,L2,V1,M2} { ! coll( skol23, skol23, skol20 )
% 1.78/2.20 , ! coll( skol22, skol23, X ) }.
% 1.78/2.20 parent1[0]: (950) {G11,W4,D2,L1,V0,M1} R(940,649) { coll( skol23, skol23,
% 1.78/2.20 skol20 ) }.
% 1.78/2.20 substitution0:
% 1.78/2.20 X := X
% 1.78/2.20 end
% 1.78/2.20 substitution1:
% 1.78/2.20 end
% 1.78/2.20
% 1.78/2.20 subsumption: (9546) {G12,W4,D2,L1,V1,M1} R(186,648);r(950) { ! coll( skol22
% 1.78/2.20 , skol23, X ) }.
% 1.78/2.20 parent0: (16230) {G5,W4,D2,L1,V1,M1} { ! coll( skol22, skol23, X ) }.
% 1.78/2.20 substitution0:
% 1.78/2.20 X := X
% 1.78/2.20 end
% 1.78/2.20 permutation0:
% 1.78/2.20 0 ==> 0
% 1.78/2.20 end
% 1.78/2.20
% 1.78/2.20 resolution: (16231) {G6,W4,D2,L1,V0,M1} { ! coll( skol24, skol28, skol23 )
% 1.78/2.20 }.
% 1.78/2.20 parent0[0]: (9546) {G12,W4,D2,L1,V1,M1} R(186,648);r(950) { ! coll( skol22
% 1.78/2.20 , skol23, X ) }.
% 1.78/2.20 parent1[1]: (219) {G5,W8,D2,L2,V1,M2} R(218,2) { ! coll( skol24, skol28, X
% 1.78/2.20 ), coll( skol22, X, skol24 ) }.
% 1.78/2.20 substitution0:
% 1.78/2.20 X := skol24
% 1.78/2.20 end
% 1.78/2.20 substitution1:
% 1.78/2.20 X := skol23
% 1.78/2.20 end
% 1.78/2.20
% 1.78/2.20 subsumption: (12638) {G13,W4,D2,L1,V0,M1} R(219,9546) { ! coll( skol24,
% 1.78/2.20 skol28, skol23 ) }.
% 1.78/2.20 parent0: (16231) {G6,W4,D2,L1,V0,M1} { ! coll( skol24, skol28, skol23 )
% 1.78/2.20 }.
% 1.78/2.20 substitution0:
% 1.78/2.20 end
% 1.78/2.20 permutation0:
% 1.78/2.20 0 ==> 0
% 1.78/2.20 end
% 1.78/2.20
% 1.78/2.20 resolution: (16232) {G1,W4,D2,L1,V0,M1} { ! coll( skol24, skol23, skol28 )
% 1.78/2.20 }.
% 1.78/2.20 parent0[0]: (12638) {G13,W4,D2,L1,V0,M1} R(219,9546) { ! coll( skol24,
% 1.78/2.20 skol28, skol23 ) }.
% 1.78/2.20 parent1[1]: (0) {G0,W8,D2,L2,V3,M2} I { ! coll( X, Y, Z ), coll( X, Z, Y )
% 1.78/2.20 }.
% 1.78/2.20 substitution0:
% 1.78/2.20 end
% 1.78/2.20 substitution1:
% 1.78/2.20 X := skol24
% 1.78/2.20 Y := skol23
% 1.78/2.20 Z := skol28
% 1.78/2.20 end
% 1.78/2.20
% 1.78/2.20 subsumption: (12794) {G14,W4,D2,L1,V0,M1} R(12638,0) { ! coll( skol24,
% 1.78/2.20 skol23, skol28 ) }.
% 1.78/2.20 parent0: (16232) {G1,W4,D2,L1,V0,M1} { ! coll( skol24, skol23, skol28 )
% 1.78/2.20 }.
% 1.78/2.20 substitution0:
% 1.78/2.20 end
% 1.78/2.20 permutation0:
% 1.78/2.20 0 ==> 0
% 1.78/2.20 end
% 1.78/2.20
% 1.78/2.20 resolution: (16233) {G6,W8,D2,L2,V1,M2} { coll( skol24, skol23, skol28 ),
% 1.78/2.20 ! coll( skol27, skol28, X ) }.
% 1.78/2.20 parent0[0]: (292) {G5,W8,D2,L2,V1,M2} R(290,2) { ! coll( skol28, skol28, X
% 1.78/2.20 ), coll( skol24, X, skol28 ) }.
% 1.78/2.20 parent1[0]: (1805) {G12,W8,D2,L2,V2,M2} R(1795,265) { coll( X, X, skol23 )
% 1.78/2.20 , ! coll( skol27, X, Y ) }.
% 1.78/2.20 substitution0:
% 1.78/2.20 X := skol23
% 1.78/2.20 end
% 1.78/2.20 substitution1:
% 1.78/2.20 X := skol28
% 1.78/2.20 Y := X
% 1.78/2.20 end
% 1.78/2.20
% 1.78/2.20 resolution: (16234) {G7,W4,D2,L1,V1,M1} { ! coll( skol27, skol28, X ) }.
% 1.78/2.20 parent0[0]: (12794) {G14,W4,D2,L1,V0,M1} R(12638,0) { ! coll( skol24,
% 1.78/2.20 skol23, skol28 ) }.
% 1.78/2.20 parent1[0]: (16233) {G6,W8,D2,L2,V1,M2} { coll( skol24, skol23, skol28 ),
% 1.78/2.20 ! coll( skol27, skol28, X ) }.
% 1.78/2.20 substitution0:
% 1.78/2.20 end
% 1.78/2.20 substitution1:
% 1.78/2.20 X := X
% 1.78/2.20 end
% 1.78/2.20
% 1.78/2.20 subsumption: (13781) {G15,W4,D2,L1,V1,M1} R(292,1805);r(12794) { ! coll(
% 1.78/2.20 skol27, skol28, X ) }.
% 1.78/2.20 parent0: (16234) {G7,W4,D2,L1,V1,M1} { ! coll( skol27, skol28, X ) }.
% 1.78/2.20 substitution0:
% 1.78/2.20 X := X
% 1.78/2.20 end
% 1.78/2.20 permutation0:
% 1.78/2.20 0 ==> 0
% 1.78/2.20 end
% 1.78/2.20
% 1.78/2.20 resolution: (16235) {G6,W4,D2,L1,V0,M1} { ! coll( skol24, skol24, skol28 )
% 1.78/2.20 }.
% 1.78/2.20 parent0[0]: (13781) {G15,W4,D2,L1,V1,M1} R(292,1805);r(12794) { ! coll(
% 1.78/2.20 skol27, skol28, X ) }.
% 1.78/2.20 parent1[1]: (349) {G5,W8,D2,L2,V1,M2} R(347,2) { ! coll( skol24, skol24, X
% 1.78/2.20 ), coll( skol27, X, skol24 ) }.
% 1.78/2.20 substitution0:
% 1.78/2.20 X := skol24
% 1.78/2.20 end
% 1.78/2.20 substitution1:
% 1.78/2.20 X := skol28
% 1.78/2.20 end
% 1.78/2.20
% 1.78/2.20 resolution: (16236) {G5,W0,D0,L0,V0,M0} { }.
% 1.78/2.20 parent0[0]: (16235) {G6,W4,D2,L1,V0,M1} { ! coll( skol24, skol24, skol28 )
% 1.78/2.20 }.
% 1.78/2.20 parent1[0]: (366) {G4,W4,D2,L1,V0,M1} R(254,0) { coll( skol24, skol24,
% 1.78/2.20 skol28 ) }.
% 1.78/2.20 substitution0:
% 1.78/2.20 end
% 1.78/2.20 substitution1:
% 1.78/2.20 end
% 1.78/2.20
% 1.78/2.20 subsumption: (15823) {G16,W0,D0,L0,V0,M0} R(349,13781);r(366) { }.
% 1.78/2.20 parent0: (16236) {G5,W0,D0,L0,V0,M0} { }.
% 1.78/2.20 substitution0:
% 1.78/2.20 end
% 1.78/2.20 permutation0:
% 1.78/2.20 end
% 1.78/2.20
% 1.78/2.20 Proof check complete!
% 1.78/2.20
% 1.78/2.20 Memory use:
% 1.78/2.20
% 1.78/2.20 space for terms: 260861
% 1.78/2.20 space for clauses: 753814
% 1.78/2.20
% 1.78/2.20
% 1.78/2.20 clauses generated: 105661
% 1.78/2.20 clauses kept: 15824
% 1.78/2.20 clauses selected: 1305
% 1.78/2.20 clauses deleted: 289
% 1.78/2.20 clauses inuse deleted: 243
% 1.78/2.20
% 1.78/2.20 subsentry: 1759478
% 1.78/2.20 literals s-matched: 1142509
% 1.78/2.20 literals matched: 613408
% 1.78/2.20 full subsumption: 237233
% 1.78/2.20
% 1.78/2.20 checksum: 1307441799
% 1.78/2.20
% 1.78/2.20
% 1.78/2.20 Bliksem ended
%------------------------------------------------------------------------------