TSTP Solution File: GEO579+1 by Bliksem---1.12
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : GEO579+1 : TPTP v8.1.0. Released v7.5.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n006.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 0s
% DateTime : Sat Jul 16 02:54:51 EDT 2022
% Result : Theorem 2.33s 2.70s
% Output : Refutation 2.33s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : GEO579+1 : TPTP v8.1.0. Released v7.5.0.
% 0.03/0.13 % Command : bliksem %s
% 0.12/0.34 % Computer : n006.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % DateTime : Sat Jun 18 05:48:55 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.86/1.24 *** allocated 10000 integers for termspace/termends
% 0.86/1.24 *** allocated 10000 integers for clauses
% 0.86/1.24 *** allocated 10000 integers for justifications
% 0.86/1.24 Bliksem 1.12
% 0.86/1.24
% 0.86/1.24
% 0.86/1.24 Automatic Strategy Selection
% 0.86/1.24
% 0.86/1.24 *** allocated 15000 integers for termspace/termends
% 0.86/1.24
% 0.86/1.24 Clauses:
% 0.86/1.24
% 0.86/1.24 { ! coll( X, Y, Z ), coll( X, Z, Y ) }.
% 0.86/1.24 { ! coll( X, Y, Z ), coll( Y, X, Z ) }.
% 0.86/1.24 { ! coll( X, T, Y ), ! coll( X, T, Z ), coll( Y, Z, X ) }.
% 0.86/1.24 { ! para( X, Y, Z, T ), para( X, Y, T, Z ) }.
% 0.86/1.24 { ! para( X, Y, Z, T ), para( Z, T, X, Y ) }.
% 0.86/1.24 { ! para( X, Y, U, W ), ! para( U, W, Z, T ), para( X, Y, Z, T ) }.
% 0.86/1.24 { ! perp( X, Y, Z, T ), perp( X, Y, T, Z ) }.
% 0.86/1.24 { ! perp( X, Y, Z, T ), perp( Z, T, X, Y ) }.
% 0.86/1.24 { ! perp( X, Y, U, W ), ! perp( U, W, Z, T ), para( X, Y, Z, T ) }.
% 0.86/1.24 { ! para( X, Y, U, W ), ! perp( U, W, Z, T ), perp( X, Y, Z, T ) }.
% 0.86/1.24 { ! midp( Z, Y, X ), midp( Z, X, Y ) }.
% 0.86/1.24 { ! cong( T, X, T, Y ), ! cong( T, X, T, Z ), circle( T, X, Y, Z ) }.
% 0.86/1.24 { ! cong( U, X, U, Y ), ! cong( U, X, U, Z ), ! cong( U, X, U, T ), cyclic
% 0.86/1.24 ( X, Y, Z, T ) }.
% 0.86/1.24 { ! cyclic( X, Y, Z, T ), cyclic( X, Y, T, Z ) }.
% 0.86/1.24 { ! cyclic( X, Y, Z, T ), cyclic( X, Z, Y, T ) }.
% 0.86/1.24 { ! cyclic( X, Y, Z, T ), cyclic( Y, X, Z, T ) }.
% 0.86/1.24 { ! cyclic( U, X, Y, Z ), ! cyclic( U, X, Y, T ), cyclic( X, Y, Z, T ) }.
% 0.86/1.24 { ! eqangle( X, Y, Z, T, U, W, V0, V1 ), eqangle( Y, X, Z, T, U, W, V0, V1
% 0.86/1.24 ) }.
% 0.86/1.24 { ! eqangle( X, Y, Z, T, U, W, V0, V1 ), eqangle( Z, T, X, Y, V0, V1, U, W
% 0.86/1.24 ) }.
% 0.86/1.24 { ! eqangle( X, Y, Z, T, U, W, V0, V1 ), eqangle( U, W, V0, V1, X, Y, Z, T
% 0.86/1.24 ) }.
% 0.86/1.24 { ! eqangle( X, Y, Z, T, U, W, V0, V1 ), eqangle( X, Y, U, W, Z, T, V0, V1
% 0.86/1.24 ) }.
% 0.86/1.24 { ! eqangle( X, Y, Z, T, V2, V3, V4, V5 ), ! eqangle( V2, V3, V4, V5, U, W
% 0.86/1.24 , V0, V1 ), eqangle( X, Y, Z, T, U, W, V0, V1 ) }.
% 0.86/1.24 { ! cong( X, Y, Z, T ), cong( X, Y, T, Z ) }.
% 0.86/1.24 { ! cong( X, Y, Z, T ), cong( Z, T, X, Y ) }.
% 0.86/1.24 { ! cong( X, Y, U, W ), ! cong( U, W, Z, T ), cong( X, Y, Z, T ) }.
% 0.86/1.24 { ! eqratio( X, Y, Z, T, U, W, V0, V1 ), eqratio( Y, X, Z, T, U, W, V0, V1
% 0.86/1.24 ) }.
% 0.86/1.24 { ! eqratio( X, Y, Z, T, U, W, V0, V1 ), eqratio( Z, T, X, Y, V0, V1, U, W
% 0.86/1.24 ) }.
% 0.86/1.24 { ! eqratio( X, Y, Z, T, U, W, V0, V1 ), eqratio( U, W, V0, V1, X, Y, Z, T
% 0.86/1.24 ) }.
% 0.86/1.24 { ! eqratio( X, Y, Z, T, U, W, V0, V1 ), eqratio( X, Y, U, W, Z, T, V0, V1
% 0.86/1.24 ) }.
% 0.86/1.24 { ! eqratio( X, Y, Z, T, V2, V3, V4, V5 ), ! eqratio( V2, V3, V4, V5, U, W
% 0.86/1.24 , V0, V1 ), eqratio( X, Y, Z, T, U, W, V0, V1 ) }.
% 0.86/1.24 { ! simtri( X, Z, Y, T, W, U ), simtri( X, Y, Z, T, U, W ) }.
% 0.86/1.24 { ! simtri( Y, X, Z, U, T, W ), simtri( X, Y, Z, T, U, W ) }.
% 0.86/1.24 { ! simtri( T, U, W, X, Y, Z ), simtri( X, Y, Z, T, U, W ) }.
% 0.86/1.24 { ! simtri( X, Y, Z, V0, V1, V2 ), ! simtri( V0, V1, V2, T, U, W ), simtri
% 0.86/1.24 ( X, Y, Z, T, U, W ) }.
% 0.86/1.24 { ! contri( X, Z, Y, T, W, U ), contri( X, Y, Z, T, U, W ) }.
% 0.86/1.24 { ! contri( Y, X, Z, U, T, W ), contri( X, Y, Z, T, U, W ) }.
% 0.86/1.24 { ! contri( T, U, W, X, Y, Z ), contri( X, Y, Z, T, U, W ) }.
% 0.86/1.24 { ! contri( X, Y, Z, V0, V1, V2 ), ! contri( V0, V1, V2, T, U, W ), contri
% 0.86/1.24 ( X, Y, Z, T, U, W ) }.
% 0.86/1.24 { ! eqangle( X, Y, U, W, Z, T, U, W ), para( X, Y, Z, T ) }.
% 0.86/1.24 { ! para( X, Y, Z, T ), eqangle( X, Y, U, W, Z, T, U, W ) }.
% 0.86/1.24 { ! cyclic( X, Y, Z, T ), eqangle( Z, X, Z, Y, T, X, T, Y ) }.
% 0.86/1.24 { ! eqangle( Z, X, Z, Y, T, X, T, Y ), coll( Z, T, X ), cyclic( X, Y, Z, T
% 0.86/1.24 ) }.
% 0.86/1.24 { ! eqangle( Z, X, Z, Y, T, X, T, Y ), ! coll( Z, T, Y ), cyclic( X, Y, Z,
% 0.86/1.24 T ) }.
% 0.86/1.24 { ! cyclic( X, Y, U, Z ), ! cyclic( X, Y, U, T ), ! cyclic( X, Y, U, W ), !
% 0.86/1.24 eqangle( U, X, U, Y, W, Z, W, T ), cong( X, Y, Z, T ) }.
% 0.86/1.24 { ! midp( Z, U, X ), ! midp( T, U, Y ), para( Z, T, X, Y ) }.
% 0.86/1.24 { ! midp( U, X, T ), ! para( U, Z, T, Y ), ! coll( Z, X, Y ), midp( Z, X, Y
% 0.86/1.24 ) }.
% 0.86/1.24 { ! cong( Z, X, Z, Y ), eqangle( Z, X, X, Y, X, Y, Z, Y ) }.
% 0.86/1.24 { ! eqangle( Z, X, X, Y, X, Y, Z, Y ), coll( Z, X, Y ), cong( Z, X, Z, Y )
% 0.86/1.24 }.
% 0.86/1.24 { ! circle( U, X, Y, Z ), ! perp( U, X, X, T ), eqangle( X, T, X, Y, Z, X,
% 0.86/1.24 Z, Y ) }.
% 0.86/1.24 { ! circle( Y, X, T, U ), ! eqangle( X, Z, X, T, U, X, U, T ), perp( Y, X,
% 0.86/1.24 X, Z ) }.
% 0.86/1.24 { ! circle( T, X, Y, Z ), ! midp( U, Y, Z ), eqangle( X, Y, X, Z, T, Y, T,
% 0.86/1.24 U ) }.
% 0.86/1.24 { ! circle( U, T, X, Y ), ! coll( Z, X, Y ), ! eqangle( T, X, T, Y, U, X, U
% 0.86/1.24 , Z ), midp( Z, X, Y ) }.
% 0.86/1.24 { ! perp( X, Y, Y, T ), ! midp( Z, X, T ), cong( X, Z, Y, Z ) }.
% 0.86/1.24 { ! circle( T, X, Y, Z ), ! coll( T, X, Z ), perp( X, Y, Y, Z ) }.
% 0.86/1.24 { ! cyclic( X, Y, Z, T ), ! para( X, Y, Z, T ), eqangle( X, T, Z, T, Z, T,
% 0.86/1.24 Z, Y ) }.
% 0.86/1.24 { ! midp( T, X, Y ), ! perp( Z, T, X, Y ), cong( Z, X, Z, Y ) }.
% 0.86/1.24 { ! cong( X, Z, Y, Z ), ! cong( X, T, Y, T ), perp( X, Y, Z, T ) }.
% 0.86/1.24 { ! cong( X, Y, T, Y ), ! cong( X, Z, T, Z ), ! cyclic( X, T, Y, Z ), perp
% 0.86/1.24 ( Y, X, X, Z ) }.
% 0.86/1.24 { ! eqangle( X, Y, Y, Z, T, U, U, W ), ! eqangle( X, Z, Y, Z, T, W, U, W )
% 0.86/1.24 , coll( X, Y, Z ), simtri( X, Y, Z, T, U, W ) }.
% 0.86/1.24 { ! simtri( X, Y, Z, T, U, W ), eqratio( X, Y, X, Z, T, U, T, W ) }.
% 0.86/1.24 { ! simtri( X, Y, Z, T, U, W ), eqangle( X, Y, Y, Z, T, U, U, W ) }.
% 0.86/1.24 { ! simtri( X, Y, Z, T, U, W ), ! cong( X, Y, T, U ), contri( X, Y, Z, T, U
% 0.86/1.24 , W ) }.
% 0.86/1.24 { ! contri( X, Y, U, Z, T, W ), cong( X, Y, Z, T ) }.
% 0.86/1.24 { ! midp( U, X, Y ), ! midp( U, Z, T ), para( X, Z, Y, T ) }.
% 0.86/1.24 { ! midp( Z, T, U ), ! para( T, X, U, Y ), ! para( T, Y, U, X ), midp( Z, X
% 0.86/1.24 , Y ) }.
% 0.86/1.24 { ! para( X, Y, Z, T ), ! coll( U, X, Z ), ! coll( U, Y, T ), eqratio( U, X
% 0.86/1.24 , X, Z, U, Y, Y, T ) }.
% 0.86/1.24 { ! para( X, Y, X, Z ), coll( X, Y, Z ) }.
% 0.86/1.24 { ! cong( X, Y, X, Z ), ! coll( X, Y, Z ), midp( X, Y, Z ) }.
% 0.86/1.24 { ! midp( X, Y, Z ), cong( X, Y, X, Z ) }.
% 0.86/1.24 { ! midp( X, Y, Z ), coll( X, Y, Z ) }.
% 0.86/1.24 { ! midp( U, X, Y ), ! midp( W, Z, T ), eqratio( U, X, X, Y, W, Z, Z, T ) }
% 0.86/1.24 .
% 0.86/1.24 { ! eqangle( X, Y, Z, T, Z, T, X, Y ), para( X, Y, Z, T ), perp( X, Y, Z, T
% 0.86/1.24 ) }.
% 0.86/1.24 { ! eqangle( X, Y, Z, T, Z, T, X, Y ), perp( X, Y, Z, T ), para( X, Y, Z, T
% 0.86/1.24 ) }.
% 0.86/1.24 { ! eqangle( X, Y, Z, T, U, W, V0, V1 ), ! para( U, W, V0, V1 ), para( X, Y
% 0.86/1.24 , Z, T ) }.
% 0.86/1.24 { ! eqangle( X, Y, Z, T, U, W, V0, V1 ), ! perp( U, W, V0, V1 ), perp( X, Y
% 0.86/1.24 , Z, T ) }.
% 0.86/1.24 { ! eqratio( X, Y, Z, T, U, W, V0, V1 ), ! cong( U, W, V0, V1 ), cong( X, Y
% 0.86/1.24 , Z, T ) }.
% 0.86/1.24 { ! perp( Z, Y, Y, X ), ! eqangle( T, Z, Y, Z, Y, Z, X, Z ), coll( skol1( U
% 0.86/1.24 , W, Z, T ), Z, T ) }.
% 0.86/1.24 { ! perp( Z, Y, Y, X ), ! eqangle( T, Z, Y, Z, Y, Z, X, Z ), coll( skol1( X
% 0.86/1.24 , Y, Z, T ), X, Y ) }.
% 0.86/1.24 { ! cong( Z, X, Z, Y ), ! eqangle( X, Z, Z, T, Z, T, Z, Y ), coll( skol2( U
% 0.86/1.24 , W, Z, T ), Z, T ) }.
% 0.86/1.24 { ! cong( Z, X, Z, Y ), ! eqangle( X, Z, Z, T, Z, T, Z, Y ), coll( Y, X,
% 0.86/1.24 skol2( X, Y, Z, T ) ) }.
% 0.86/1.24 { ! perp( Z, T, X, Y ), ! eqangle( X, Z, Z, T, Z, T, Z, Y ), coll( skol3( U
% 0.86/1.24 , W, Z, T ), Z, T ) }.
% 0.86/1.24 { ! perp( Z, T, X, Y ), ! eqangle( X, Z, Z, T, Z, T, Z, Y ), coll( Y, X,
% 0.86/1.24 skol3( X, Y, Z, T ) ) }.
% 0.86/1.24 { ! perp( Z, T, X, Y ), ! cong( Z, X, Z, Y ), coll( skol4( U, W, Z, T ), Z
% 0.86/1.24 , T ) }.
% 0.86/1.24 { ! perp( Z, T, X, Y ), ! cong( Z, X, Z, Y ), coll( Y, X, skol4( X, Y, Z, T
% 0.86/1.24 ) ) }.
% 0.86/1.24 { ! eqangle( X, Z, Y, Z, X, T, Y, U ), coll( X, Y, Z ), cyclic( T, Y, Z,
% 0.86/1.24 skol5( W, Y, Z, T ) ) }.
% 0.86/1.24 { ! eqangle( X, Z, Y, Z, X, T, Y, U ), coll( X, Y, Z ), eqangle( X, Z, Y, Z
% 0.86/1.24 , X, skol5( X, Y, Z, T ), Y, skol5( X, Y, Z, T ) ) }.
% 0.86/1.24 { ! midp( U, X, Y ), ! midp( W, Z, T ), midp( skol6( X, V0, V1, T, V2, V3 )
% 0.86/1.24 , X, T ) }.
% 0.86/1.24 { ! midp( U, X, Y ), ! midp( W, Z, T ), para( skol6( X, V0, Z, T, V1, W ),
% 0.86/1.24 W, X, Z ) }.
% 0.86/1.24 { ! midp( U, X, Y ), ! midp( W, Z, T ), para( skol6( X, Y, Z, T, U, W ), U
% 0.86/1.24 , Y, T ) }.
% 0.86/1.24 { ! midp( Z, X, Y ), ! midp( W, T, U ), ! coll( T, X, Y ), ! coll( U, X, Y
% 0.86/1.24 ), midp( skol7( X, V0 ), X, V0 ) }.
% 0.86/1.24 { ! midp( T, X, U ), ! para( X, W, Z, T ), ! para( X, W, U, Y ), ! coll( W
% 0.86/1.24 , Y, Z ), coll( skol8( V0, V1, Z, T ), T, Z ) }.
% 0.86/1.24 { ! midp( T, X, U ), ! para( X, W, Z, T ), ! para( X, W, U, Y ), ! coll( W
% 0.86/1.24 , Y, Z ), coll( skol8( X, Y, Z, T ), X, Y ) }.
% 0.86/1.24 { ! cong( T, Z, T, U ), ! perp( X, Y, Y, T ), cong( T, Z, T, skol9( W, V0,
% 0.86/1.24 Z, T ) ) }.
% 0.86/1.24 { ! cong( T, Z, T, U ), ! perp( X, Y, Y, T ), cong( Y, Z, Y, skol9( W, Y, Z
% 0.86/1.24 , T ) ) }.
% 0.86/1.24 { ! cong( T, Z, T, U ), ! perp( X, Y, Y, T ), para( skol9( X, Y, Z, T ), Z
% 0.86/1.24 , X, Y ) }.
% 0.86/1.24 { ! perp( X, T, Y, Z ), ! perp( Y, T, X, Z ), coll( skol10( U, Y, Z ), Z, Y
% 0.86/1.24 ) }.
% 0.86/1.24 { ! perp( X, T, Y, Z ), ! perp( Y, T, X, Z ), perp( X, skol10( X, Y, Z ), Z
% 0.86/1.24 , Y ) }.
% 0.86/1.24 { ! perp( X, T, Y, Z ), ! perp( Y, T, X, Z ), alpha1( X, Y, Z ) }.
% 0.86/1.24 { ! alpha1( X, Y, Z ), coll( skol11( X, T, Z ), Z, X ) }.
% 0.86/1.24 { ! alpha1( X, Y, Z ), perp( Y, skol11( X, Y, Z ), Z, X ) }.
% 0.86/1.24 { ! coll( T, Z, X ), ! perp( Y, T, Z, X ), alpha1( X, Y, Z ) }.
% 0.86/1.24 { ! circle( Y, X, Z, T ), perp( skol12( X, Y ), X, X, Y ) }.
% 2.33/2.69 { ! circle( W, X, Y, Z ), ! cong( W, X, W, T ), ! cong( U, X, U, Y ), W = U
% 2.33/2.69 , alpha2( X, Z, U, skol13( X, V0, Z, V1, U ) ) }.
% 2.33/2.69 { ! circle( W, X, Y, Z ), ! cong( W, X, W, T ), ! cong( U, X, U, Y ), W = U
% 2.33/2.69 , coll( skol21( V0, Y, T, V1 ), Y, T ) }.
% 2.33/2.69 { ! circle( W, X, Y, Z ), ! cong( W, X, W, T ), ! cong( U, X, U, Y ), W = U
% 2.33/2.69 , cong( skol21( X, Y, T, U ), U, U, X ) }.
% 2.33/2.69 { ! alpha2( X, Y, Z, T ), coll( T, X, Y ) }.
% 2.33/2.69 { ! alpha2( X, Y, Z, T ), cong( T, Z, Z, X ) }.
% 2.33/2.69 { ! coll( T, X, Y ), ! cong( T, Z, Z, X ), alpha2( X, Y, Z, T ) }.
% 2.33/2.69 { ! cyclic( X, Y, Z, T ), ! para( X, Y, Z, T ), ! midp( U, X, Y ), circle(
% 2.33/2.69 skol14( X, Y, Z ), X, Y, Z ) }.
% 2.33/2.69 { ! perp( X, Z, Z, Y ), ! cyclic( X, Y, Z, T ), circle( skol15( X, Y, Z ),
% 2.33/2.69 X, Y, Z ) }.
% 2.33/2.69 { ! perp( X, U, U, T ), ! coll( T, Y, Z ), coll( skol16( W, Y, Z ), Y, Z )
% 2.33/2.69 }.
% 2.33/2.69 { ! perp( X, U, U, T ), ! coll( T, Y, Z ), perp( skol16( X, Y, Z ), X, Y, Z
% 2.33/2.69 ) }.
% 2.33/2.69 { ! perp( X, Z, X, Y ), ! perp( Y, X, Y, T ), ! midp( U, Z, T ), midp(
% 2.33/2.69 skol17( X, Y ), X, Y ) }.
% 2.33/2.69 { ! cong( Y, X, Y, Z ), ! perp( X, Y, Y, Z ), coll( X, Y, skol18( X, Y ) )
% 2.33/2.69 }.
% 2.33/2.69 { ! cong( Y, X, Y, Z ), ! perp( X, Y, Y, Z ), cong( Y, X, Y, skol18( X, Y )
% 2.33/2.69 ) }.
% 2.33/2.69 { ! para( U, W, X, Y ), ! coll( Z, U, X ), ! coll( Z, W, Y ), ! coll( T, U
% 2.33/2.69 , W ), coll( Z, T, skol19( V0, V1, Z, T ) ) }.
% 2.33/2.69 { ! para( U, W, X, Y ), ! coll( Z, U, X ), ! coll( Z, W, Y ), ! coll( T, U
% 2.33/2.69 , W ), coll( skol19( X, Y, Z, T ), X, Y ) }.
% 2.33/2.69 { eqangle( skol27, skol24, skol24, skol25, skol27, skol24, skol24, skol26 )
% 2.33/2.69 }.
% 2.33/2.69 { eqangle( skol27, skol25, skol25, skol26, skol27, skol25, skol25, skol24 )
% 2.33/2.69 }.
% 2.33/2.69 { eqangle( skol27, skol26, skol26, skol24, skol27, skol26, skol26, skol25 )
% 2.33/2.69 }.
% 2.33/2.69 { perp( skol20, skol27, skol24, skol26 ) }.
% 2.33/2.69 { coll( skol20, skol24, skol26 ) }.
% 2.33/2.69 { perp( skol22, skol27, skol25, skol26 ) }.
% 2.33/2.69 { coll( skol22, skol25, skol26 ) }.
% 2.33/2.69 { perp( skol23, skol25, skol24, skol27 ) }.
% 2.33/2.69 { coll( skol23, skol24, skol27 ) }.
% 2.33/2.69 { ! coll( skol23, skol20, skol22 ) }.
% 2.33/2.69
% 2.33/2.69 percentage equality = 0.008721, percentage horn = 0.928571
% 2.33/2.69 This is a problem with some equality
% 2.33/2.69
% 2.33/2.69
% 2.33/2.69
% 2.33/2.69 Options Used:
% 2.33/2.69
% 2.33/2.69 useres = 1
% 2.33/2.69 useparamod = 1
% 2.33/2.69 useeqrefl = 1
% 2.33/2.69 useeqfact = 1
% 2.33/2.69 usefactor = 1
% 2.33/2.69 usesimpsplitting = 0
% 2.33/2.69 usesimpdemod = 5
% 2.33/2.69 usesimpres = 3
% 2.33/2.69
% 2.33/2.69 resimpinuse = 1000
% 2.33/2.69 resimpclauses = 20000
% 2.33/2.69 substype = eqrewr
% 2.33/2.69 backwardsubs = 1
% 2.33/2.69 selectoldest = 5
% 2.33/2.69
% 2.33/2.69 litorderings [0] = split
% 2.33/2.69 litorderings [1] = extend the termordering, first sorting on arguments
% 2.33/2.69
% 2.33/2.69 termordering = kbo
% 2.33/2.69
% 2.33/2.69 litapriori = 0
% 2.33/2.69 termapriori = 1
% 2.33/2.69 litaposteriori = 0
% 2.33/2.69 termaposteriori = 0
% 2.33/2.69 demodaposteriori = 0
% 2.33/2.69 ordereqreflfact = 0
% 2.33/2.69
% 2.33/2.69 litselect = negord
% 2.33/2.69
% 2.33/2.69 maxweight = 15
% 2.33/2.69 maxdepth = 30000
% 2.33/2.69 maxlength = 115
% 2.33/2.69 maxnrvars = 195
% 2.33/2.69 excuselevel = 1
% 2.33/2.69 increasemaxweight = 1
% 2.33/2.69
% 2.33/2.69 maxselected = 10000000
% 2.33/2.69 maxnrclauses = 10000000
% 2.33/2.69
% 2.33/2.69 showgenerated = 0
% 2.33/2.69 showkept = 0
% 2.33/2.69 showselected = 0
% 2.33/2.69 showdeleted = 0
% 2.33/2.69 showresimp = 1
% 2.33/2.69 showstatus = 2000
% 2.33/2.69
% 2.33/2.69 prologoutput = 0
% 2.33/2.69 nrgoals = 5000000
% 2.33/2.69 totalproof = 1
% 2.33/2.69
% 2.33/2.69 Symbols occurring in the translation:
% 2.33/2.69
% 2.33/2.69 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 2.33/2.69 . [1, 2] (w:1, o:38, a:1, s:1, b:0),
% 2.33/2.69 ! [4, 1] (w:0, o:33, a:1, s:1, b:0),
% 2.33/2.69 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 2.33/2.69 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 2.33/2.69 coll [38, 3] (w:1, o:66, a:1, s:1, b:0),
% 2.33/2.69 para [40, 4] (w:1, o:74, a:1, s:1, b:0),
% 2.33/2.69 perp [43, 4] (w:1, o:75, a:1, s:1, b:0),
% 2.33/2.69 midp [45, 3] (w:1, o:67, a:1, s:1, b:0),
% 2.33/2.69 cong [47, 4] (w:1, o:76, a:1, s:1, b:0),
% 2.33/2.69 circle [48, 4] (w:1, o:77, a:1, s:1, b:0),
% 2.33/2.69 cyclic [49, 4] (w:1, o:78, a:1, s:1, b:0),
% 2.33/2.69 eqangle [54, 8] (w:1, o:93, a:1, s:1, b:0),
% 2.33/2.69 eqratio [57, 8] (w:1, o:94, a:1, s:1, b:0),
% 2.33/2.69 simtri [59, 6] (w:1, o:90, a:1, s:1, b:0),
% 2.33/2.69 contri [60, 6] (w:1, o:91, a:1, s:1, b:0),
% 2.33/2.69 alpha1 [66, 3] (w:1, o:68, a:1, s:1, b:1),
% 2.33/2.69 alpha2 [67, 4] (w:1, o:79, a:1, s:1, b:1),
% 2.33/2.69 skol1 [68, 4] (w:1, o:80, a:1, s:1, b:1),
% 2.33/2.69 skol2 [69, 4] (w:1, o:82, a:1, s:1, b:1),
% 2.33/2.69 skol3 [70, 4] (w:1, o:84, a:1, s:1, b:1),
% 2.33/2.69 skol4 [71, 4] (w:1, o:85, a:1, s:1, b:1),
% 2.33/2.69 skol5 [72, 4] (w:1, o:86, a:1, s:1, b:1),
% 2.33/2.69 skol6 [73, 6] (w:1, o:92, a:1, s:1, b:1),
% 2.33/2.69 skol7 [74, 2] (w:1, o:62, a:1, s:1, b:1),
% 2.33/2.69 skol8 [75, 4] (w:1, o:87, a:1, s:1, b:1),
% 2.33/2.69 skol9 [76, 4] (w:1, o:88, a:1, s:1, b:1),
% 2.33/2.69 skol10 [77, 3] (w:1, o:69, a:1, s:1, b:1),
% 2.33/2.69 skol11 [78, 3] (w:1, o:70, a:1, s:1, b:1),
% 2.33/2.69 skol12 [79, 2] (w:1, o:63, a:1, s:1, b:1),
% 2.33/2.69 skol13 [80, 5] (w:1, o:89, a:1, s:1, b:1),
% 2.33/2.69 skol14 [81, 3] (w:1, o:71, a:1, s:1, b:1),
% 2.33/2.69 skol15 [82, 3] (w:1, o:72, a:1, s:1, b:1),
% 2.33/2.69 skol16 [83, 3] (w:1, o:73, a:1, s:1, b:1),
% 2.33/2.69 skol17 [84, 2] (w:1, o:64, a:1, s:1, b:1),
% 2.33/2.69 skol18 [85, 2] (w:1, o:65, a:1, s:1, b:1),
% 2.33/2.69 skol19 [86, 4] (w:1, o:81, a:1, s:1, b:1),
% 2.33/2.69 skol20 [87, 0] (w:1, o:26, a:1, s:1, b:1),
% 2.33/2.69 skol21 [88, 4] (w:1, o:83, a:1, s:1, b:1),
% 2.33/2.69 skol22 [89, 0] (w:1, o:27, a:1, s:1, b:1),
% 2.33/2.69 skol23 [90, 0] (w:1, o:28, a:1, s:1, b:1),
% 2.33/2.69 skol24 [91, 0] (w:1, o:29, a:1, s:1, b:1),
% 2.33/2.70 skol25 [92, 0] (w:1, o:30, a:1, s:1, b:1),
% 2.33/2.70 skol26 [93, 0] (w:1, o:31, a:1, s:1, b:1),
% 2.33/2.70 skol27 [94, 0] (w:1, o:32, a:1, s:1, b:1).
% 2.33/2.70
% 2.33/2.70
% 2.33/2.70 Starting Search:
% 2.33/2.70
% 2.33/2.70 *** allocated 15000 integers for clauses
% 2.33/2.70 *** allocated 22500 integers for clauses
% 2.33/2.70 *** allocated 33750 integers for clauses
% 2.33/2.70 *** allocated 50625 integers for clauses
% 2.33/2.70 *** allocated 22500 integers for termspace/termends
% 2.33/2.70 *** allocated 75937 integers for clauses
% 2.33/2.70 Resimplifying inuse:
% 2.33/2.70 Done
% 2.33/2.70
% 2.33/2.70 *** allocated 33750 integers for termspace/termends
% 2.33/2.70 *** allocated 113905 integers for clauses
% 2.33/2.70 *** allocated 50625 integers for termspace/termends
% 2.33/2.70
% 2.33/2.70 Intermediate Status:
% 2.33/2.70 Generated: 15645
% 2.33/2.70 Kept: 2075
% 2.33/2.70 Inuse: 336
% 2.33/2.70 Deleted: 1
% 2.33/2.70 Deletedinuse: 1
% 2.33/2.70
% 2.33/2.70 Resimplifying inuse:
% 2.33/2.70 Done
% 2.33/2.70
% 2.33/2.70 *** allocated 170857 integers for clauses
% 2.33/2.70 *** allocated 75937 integers for termspace/termends
% 2.33/2.70 Resimplifying inuse:
% 2.33/2.70 Done
% 2.33/2.70
% 2.33/2.70 *** allocated 256285 integers for clauses
% 2.33/2.70 *** allocated 113905 integers for termspace/termends
% 2.33/2.70
% 2.33/2.70 Intermediate Status:
% 2.33/2.70 Generated: 27684
% 2.33/2.70 Kept: 4125
% 2.33/2.70 Inuse: 471
% 2.33/2.70 Deleted: 1
% 2.33/2.70 Deletedinuse: 1
% 2.33/2.70
% 2.33/2.70 Resimplifying inuse:
% 2.33/2.70 Done
% 2.33/2.70
% 2.33/2.70 Resimplifying inuse:
% 2.33/2.70 Done
% 2.33/2.70
% 2.33/2.70 *** allocated 384427 integers for clauses
% 2.33/2.70 *** allocated 170857 integers for termspace/termends
% 2.33/2.70
% 2.33/2.70 Intermediate Status:
% 2.33/2.70 Generated: 42617
% 2.33/2.70 Kept: 6272
% 2.33/2.70 Inuse: 551
% 2.33/2.70 Deleted: 1
% 2.33/2.70 Deletedinuse: 1
% 2.33/2.70
% 2.33/2.70 Resimplifying inuse:
% 2.33/2.70 Done
% 2.33/2.70
% 2.33/2.70 Resimplifying inuse:
% 2.33/2.70 Done
% 2.33/2.70
% 2.33/2.70 *** allocated 576640 integers for clauses
% 2.33/2.70
% 2.33/2.70 Intermediate Status:
% 2.33/2.70 Generated: 71730
% 2.33/2.70 Kept: 8281
% 2.33/2.70 Inuse: 754
% 2.33/2.70 Deleted: 3
% 2.33/2.70 Deletedinuse: 1
% 2.33/2.70
% 2.33/2.70 Resimplifying inuse:
% 2.33/2.70 Done
% 2.33/2.70
% 2.33/2.70 *** allocated 256285 integers for termspace/termends
% 2.33/2.70 Resimplifying inuse:
% 2.33/2.70 Done
% 2.33/2.70
% 2.33/2.70
% 2.33/2.70 Intermediate Status:
% 2.33/2.70 Generated: 87426
% 2.33/2.70 Kept: 10282
% 2.33/2.70 Inuse: 838
% 2.33/2.70 Deleted: 8
% 2.33/2.70 Deletedinuse: 6
% 2.33/2.70
% 2.33/2.70 Resimplifying inuse:
% 2.33/2.70 Done
% 2.33/2.70
% 2.33/2.70 Resimplifying inuse:
% 2.33/2.70 Done
% 2.33/2.70
% 2.33/2.70
% 2.33/2.70 Intermediate Status:
% 2.33/2.70 Generated: 96469
% 2.33/2.70 Kept: 12283
% 2.33/2.70 Inuse: 914
% 2.33/2.70 Deleted: 118
% 2.33/2.70 Deletedinuse: 108
% 2.33/2.70
% 2.33/2.70 *** allocated 864960 integers for clauses
% 2.33/2.70 Resimplifying inuse:
% 2.33/2.70 Done
% 2.33/2.70
% 2.33/2.70 Resimplifying inuse:
% 2.33/2.70 Done
% 2.33/2.70
% 2.33/2.70
% 2.33/2.70 Intermediate Status:
% 2.33/2.70 Generated: 107991
% 2.33/2.70 Kept: 14289
% 2.33/2.70 Inuse: 1111
% 2.33/2.70 Deleted: 169
% 2.33/2.70 Deletedinuse: 149
% 2.33/2.70
% 2.33/2.70
% 2.33/2.70 Bliksems!, er is een bewijs:
% 2.33/2.70 % SZS status Theorem
% 2.33/2.70 % SZS output start Refutation
% 2.33/2.70
% 2.33/2.70 (0) {G0,W8,D2,L2,V3,M2} I { ! coll( X, Y, Z ), coll( X, Z, Y ) }.
% 2.33/2.70 (1) {G0,W8,D2,L2,V3,M2} I { ! coll( X, Y, Z ), coll( Y, X, Z ) }.
% 2.33/2.70 (2) {G0,W12,D2,L3,V4,M3} I { ! coll( X, T, Y ), ! coll( X, T, Z ), coll( Y
% 2.33/2.70 , Z, X ) }.
% 2.33/2.70 (3) {G0,W10,D2,L2,V4,M2} I { ! para( X, Y, Z, T ), para( X, Y, T, Z ) }.
% 2.33/2.70 (4) {G0,W10,D2,L2,V4,M2} I { ! para( X, Y, Z, T ), para( Z, T, X, Y ) }.
% 2.33/2.70 (5) {G0,W15,D2,L3,V6,M3} I { ! para( X, Y, U, W ), ! para( U, W, Z, T ),
% 2.33/2.70 para( X, Y, Z, T ) }.
% 2.33/2.70 (6) {G0,W10,D2,L2,V4,M2} I { ! perp( X, Y, Z, T ), perp( X, Y, T, Z ) }.
% 2.33/2.70 (7) {G0,W10,D2,L2,V4,M2} I { ! perp( X, Y, Z, T ), perp( Z, T, X, Y ) }.
% 2.33/2.70 (8) {G0,W15,D2,L3,V6,M3} I { ! perp( X, Y, U, W ), ! perp( U, W, Z, T ),
% 2.33/2.70 para( X, Y, Z, T ) }.
% 2.33/2.70 (66) {G0,W9,D2,L2,V3,M2} I { ! para( X, Y, X, Z ), coll( X, Y, Z ) }.
% 2.33/2.70 (119) {G0,W5,D2,L1,V0,M1} I { perp( skol20, skol27, skol24, skol26 ) }.
% 2.33/2.70 (120) {G0,W4,D2,L1,V0,M1} I { coll( skol20, skol24, skol26 ) }.
% 2.33/2.70 (122) {G0,W4,D2,L1,V0,M1} I { coll( skol22, skol25, skol26 ) }.
% 2.33/2.70 (124) {G0,W4,D2,L1,V0,M1} I { coll( skol23, skol24, skol27 ) }.
% 2.33/2.70 (125) {G0,W4,D2,L1,V0,M1} I { ! coll( skol23, skol20, skol22 ) }.
% 2.33/2.70 (126) {G1,W8,D2,L2,V3,M2} F(2) { ! coll( X, Y, Z ), coll( Z, Z, X ) }.
% 2.33/2.70 (166) {G1,W4,D2,L1,V0,M1} R(0,125) { ! coll( skol23, skol22, skol20 ) }.
% 2.33/2.70 (167) {G2,W4,D2,L1,V0,M1} R(1,166) { ! coll( skol22, skol23, skol20 ) }.
% 2.33/2.70 (172) {G1,W8,D2,L2,V3,M2} R(1,0) { ! coll( X, Y, Z ), coll( Y, Z, X ) }.
% 2.33/2.70 (180) {G1,W16,D2,L4,V5,M4} R(2,2) { ! coll( X, Y, Z ), coll( T, Z, X ), !
% 2.33/2.70 coll( T, U, X ), ! coll( T, U, Y ) }.
% 2.33/2.70 (185) {G3,W8,D2,L2,V1,M2} R(2,167) { ! coll( skol20, X, skol22 ), ! coll(
% 2.33/2.70 skol20, X, skol23 ) }.
% 2.33/2.70 (196) {G1,W12,D2,L3,V4,M3} R(2,0) { ! coll( X, Y, Z ), ! coll( X, Y, T ),
% 2.33/2.70 coll( Z, X, T ) }.
% 2.33/2.70 (204) {G2,W8,D2,L2,V3,M2} F(196) { ! coll( X, Y, Z ), coll( Z, X, Z ) }.
% 2.33/2.70 (229) {G1,W10,D2,L2,V4,M2} R(4,3) { ! para( X, Y, Z, T ), para( Z, T, Y, X
% 2.33/2.70 ) }.
% 2.33/2.70 (237) {G1,W15,D2,L3,V6,M3} R(5,4) { ! para( X, Y, Z, T ), para( U, W, Z, T
% 2.33/2.70 ), ! para( X, Y, U, W ) }.
% 2.33/2.70 (256) {G3,W12,D2,L3,V4,M3} R(204,2) { coll( X, Y, X ), ! coll( X, Z, Y ), !
% 2.33/2.70 coll( X, Z, T ) }.
% 2.33/2.70 (264) {G3,W8,D2,L2,V3,M2} R(204,0) { coll( X, Y, X ), ! coll( Y, X, Z ) }.
% 2.33/2.70 (265) {G3,W4,D2,L1,V0,M1} R(204,120) { coll( skol26, skol20, skol26 ) }.
% 2.33/2.70 (266) {G3,W4,D2,L1,V0,M1} R(204,122) { coll( skol26, skol22, skol26 ) }.
% 2.33/2.70 (267) {G3,W4,D2,L1,V0,M1} R(204,124) { coll( skol27, skol23, skol27 ) }.
% 2.33/2.70 (268) {G4,W8,D2,L2,V3,M2} F(256) { coll( X, Y, X ), ! coll( X, Z, Y ) }.
% 2.33/2.70 (273) {G1,W5,D2,L1,V0,M1} R(6,119) { perp( skol20, skol27, skol26, skol24 )
% 2.33/2.70 }.
% 2.33/2.70 (295) {G1,W15,D2,L3,V6,M3} R(8,7) { ! perp( X, Y, Z, T ), para( X, Y, U, W
% 2.33/2.70 ), ! perp( U, W, Z, T ) }.
% 2.33/2.70 (431) {G4,W4,D2,L1,V0,M1} R(265,1) { coll( skol20, skol26, skol26 ) }.
% 2.33/2.70 (441) {G4,W4,D2,L1,V0,M1} R(266,0) { coll( skol26, skol26, skol22 ) }.
% 2.33/2.70 (450) {G4,W4,D2,L1,V0,M1} R(267,0) { coll( skol27, skol27, skol23 ) }.
% 2.33/2.70 (452) {G5,W8,D2,L2,V1,M2} R(450,2) { ! coll( skol27, skol27, X ), coll(
% 2.33/2.70 skol23, X, skol27 ) }.
% 2.33/2.70 (586) {G5,W8,D2,L2,V3,M2} R(268,1) { ! coll( X, Y, Z ), coll( Z, X, X ) }.
% 2.33/2.70 (592) {G6,W8,D2,L2,V3,M2} R(586,0) { coll( X, Y, Y ), ! coll( Y, X, Z ) }.
% 2.33/2.70 (599) {G7,W8,D2,L2,V3,M2} R(592,592) { ! coll( X, Y, Z ), coll( X, Y, Y )
% 2.33/2.70 }.
% 2.33/2.70 (602) {G8,W12,D2,L3,V4,M3} R(599,2) { ! coll( X, Y, Z ), ! coll( X, Y, T )
% 2.33/2.70 , coll( T, Y, X ) }.
% 2.33/2.70 (603) {G9,W8,D2,L2,V3,M2} F(602) { ! coll( X, Y, Z ), coll( Z, Y, X ) }.
% 2.33/2.70 (605) {G10,W8,D2,L2,V3,M2} R(603,592) { coll( X, X, Y ), ! coll( X, Y, Z )
% 2.33/2.70 }.
% 2.33/2.70 (766) {G6,W8,D2,L2,V2,M2} R(452,126) { coll( skol23, X, skol27 ), ! coll( X
% 2.33/2.70 , Y, skol27 ) }.
% 2.33/2.70 (794) {G7,W8,D2,L2,V2,M2} R(766,172) { ! coll( X, Y, skol27 ), coll( X,
% 2.33/2.70 skol27, skol23 ) }.
% 2.33/2.70 (807) {G8,W8,D2,L2,V2,M2} R(794,126) { coll( X, skol27, skol23 ), ! coll(
% 2.33/2.70 skol27, Y, X ) }.
% 2.33/2.70 (841) {G9,W8,D2,L2,V2,M2} R(807,126) { ! coll( skol27, X, Y ), coll( skol23
% 2.33/2.70 , skol23, Y ) }.
% 2.33/2.70 (859) {G10,W8,D2,L2,V2,M2} R(841,172) { coll( skol23, skol23, X ), ! coll(
% 2.33/2.70 X, skol27, Y ) }.
% 2.33/2.70 (1244) {G11,W8,D2,L2,V2,M2} R(859,126) { ! coll( X, skol27, Y ), coll( X, X
% 2.33/2.70 , skol23 ) }.
% 2.33/2.70 (1253) {G12,W8,D2,L2,V2,M2} R(1244,264) { coll( X, X, skol23 ), ! coll(
% 2.33/2.70 skol27, X, Y ) }.
% 2.33/2.70 (8612) {G5,W8,D2,L2,V2,M2} R(180,441);f { coll( X, skol22, skol26 ), ! coll
% 2.33/2.70 ( X, Y, skol26 ) }.
% 2.33/2.70 (8771) {G6,W4,D2,L1,V0,M1} R(8612,431) { coll( skol20, skol22, skol26 ) }.
% 2.33/2.70 (9260) {G11,W4,D2,L1,V0,M1} R(8771,605) { coll( skol20, skol20, skol22 )
% 2.33/2.70 }.
% 2.33/2.70 (9513) {G13,W4,D2,L1,V1,M1} R(185,1253);r(9260) { ! coll( skol27, skol20, X
% 2.33/2.70 ) }.
% 2.33/2.70 (9989) {G14,W5,D2,L1,V1,M1} R(9513,66) { ! para( skol27, skol20, skol27, X
% 2.33/2.70 ) }.
% 2.33/2.70 (13460) {G15,W5,D2,L1,V1,M1} R(9989,229) { ! para( X, skol27, skol27,
% 2.33/2.70 skol20 ) }.
% 2.33/2.70 (13510) {G16,W5,D2,L1,V1,M1} R(13460,3) { ! para( X, skol27, skol20, skol27
% 2.33/2.70 ) }.
% 2.33/2.70 (13649) {G17,W10,D2,L2,V3,M2} R(237,13510) { ! para( X, Y, skol20, skol27 )
% 2.33/2.70 , ! para( X, Y, Z, skol27 ) }.
% 2.33/2.70 (13671) {G18,W5,D2,L1,V2,M1} F(13649) { ! para( X, Y, skol20, skol27 ) }.
% 2.33/2.70 (14302) {G19,W10,D2,L2,V4,M2} R(295,13671) { ! perp( X, Y, Z, T ), ! perp(
% 2.33/2.70 skol20, skol27, Z, T ) }.
% 2.33/2.70 (14337) {G20,W5,D2,L1,V2,M1} F(14302) { ! perp( skol20, skol27, X, Y ) }.
% 2.33/2.70 (14341) {G21,W0,D0,L0,V0,M0} R(14337,273) { }.
% 2.33/2.70
% 2.33/2.70
% 2.33/2.70 % SZS output end Refutation
% 2.33/2.70 found a proof!
% 2.33/2.70
% 2.33/2.70
% 2.33/2.70 Unprocessed initial clauses:
% 2.33/2.70
% 2.33/2.70 (14343) {G0,W8,D2,L2,V3,M2} { ! coll( X, Y, Z ), coll( X, Z, Y ) }.
% 2.33/2.70 (14344) {G0,W8,D2,L2,V3,M2} { ! coll( X, Y, Z ), coll( Y, X, Z ) }.
% 2.33/2.70 (14345) {G0,W12,D2,L3,V4,M3} { ! coll( X, T, Y ), ! coll( X, T, Z ), coll
% 2.33/2.70 ( Y, Z, X ) }.
% 2.33/2.70 (14346) {G0,W10,D2,L2,V4,M2} { ! para( X, Y, Z, T ), para( X, Y, T, Z )
% 2.33/2.70 }.
% 2.33/2.70 (14347) {G0,W10,D2,L2,V4,M2} { ! para( X, Y, Z, T ), para( Z, T, X, Y )
% 2.33/2.70 }.
% 2.33/2.70 (14348) {G0,W15,D2,L3,V6,M3} { ! para( X, Y, U, W ), ! para( U, W, Z, T )
% 2.33/2.70 , para( X, Y, Z, T ) }.
% 2.33/2.70 (14349) {G0,W10,D2,L2,V4,M2} { ! perp( X, Y, Z, T ), perp( X, Y, T, Z )
% 2.33/2.70 }.
% 2.33/2.70 (14350) {G0,W10,D2,L2,V4,M2} { ! perp( X, Y, Z, T ), perp( Z, T, X, Y )
% 2.33/2.70 }.
% 2.33/2.70 (14351) {G0,W15,D2,L3,V6,M3} { ! perp( X, Y, U, W ), ! perp( U, W, Z, T )
% 2.33/2.70 , para( X, Y, Z, T ) }.
% 2.33/2.70 (14352) {G0,W15,D2,L3,V6,M3} { ! para( X, Y, U, W ), ! perp( U, W, Z, T )
% 2.33/2.70 , perp( X, Y, Z, T ) }.
% 2.33/2.70 (14353) {G0,W8,D2,L2,V3,M2} { ! midp( Z, Y, X ), midp( Z, X, Y ) }.
% 2.33/2.70 (14354) {G0,W15,D2,L3,V4,M3} { ! cong( T, X, T, Y ), ! cong( T, X, T, Z )
% 2.33/2.70 , circle( T, X, Y, Z ) }.
% 2.33/2.70 (14355) {G0,W20,D2,L4,V5,M4} { ! cong( U, X, U, Y ), ! cong( U, X, U, Z )
% 2.33/2.70 , ! cong( U, X, U, T ), cyclic( X, Y, Z, T ) }.
% 2.33/2.70 (14356) {G0,W10,D2,L2,V4,M2} { ! cyclic( X, Y, Z, T ), cyclic( X, Y, T, Z
% 2.33/2.70 ) }.
% 2.33/2.70 (14357) {G0,W10,D2,L2,V4,M2} { ! cyclic( X, Y, Z, T ), cyclic( X, Z, Y, T
% 2.33/2.70 ) }.
% 2.33/2.70 (14358) {G0,W10,D2,L2,V4,M2} { ! cyclic( X, Y, Z, T ), cyclic( Y, X, Z, T
% 2.33/2.70 ) }.
% 2.33/2.70 (14359) {G0,W15,D2,L3,V5,M3} { ! cyclic( U, X, Y, Z ), ! cyclic( U, X, Y,
% 2.33/2.70 T ), cyclic( X, Y, Z, T ) }.
% 2.33/2.70 (14360) {G0,W18,D2,L2,V8,M2} { ! eqangle( X, Y, Z, T, U, W, V0, V1 ),
% 2.33/2.70 eqangle( Y, X, Z, T, U, W, V0, V1 ) }.
% 2.33/2.70 (14361) {G0,W18,D2,L2,V8,M2} { ! eqangle( X, Y, Z, T, U, W, V0, V1 ),
% 2.33/2.70 eqangle( Z, T, X, Y, V0, V1, U, W ) }.
% 2.33/2.70 (14362) {G0,W18,D2,L2,V8,M2} { ! eqangle( X, Y, Z, T, U, W, V0, V1 ),
% 2.33/2.70 eqangle( U, W, V0, V1, X, Y, Z, T ) }.
% 2.33/2.70 (14363) {G0,W18,D2,L2,V8,M2} { ! eqangle( X, Y, Z, T, U, W, V0, V1 ),
% 2.33/2.70 eqangle( X, Y, U, W, Z, T, V0, V1 ) }.
% 2.33/2.70 (14364) {G0,W27,D2,L3,V12,M3} { ! eqangle( X, Y, Z, T, V2, V3, V4, V5 ), !
% 2.33/2.70 eqangle( V2, V3, V4, V5, U, W, V0, V1 ), eqangle( X, Y, Z, T, U, W, V0,
% 2.33/2.70 V1 ) }.
% 2.33/2.70 (14365) {G0,W10,D2,L2,V4,M2} { ! cong( X, Y, Z, T ), cong( X, Y, T, Z )
% 2.33/2.70 }.
% 2.33/2.70 (14366) {G0,W10,D2,L2,V4,M2} { ! cong( X, Y, Z, T ), cong( Z, T, X, Y )
% 2.33/2.70 }.
% 2.33/2.70 (14367) {G0,W15,D2,L3,V6,M3} { ! cong( X, Y, U, W ), ! cong( U, W, Z, T )
% 2.33/2.70 , cong( X, Y, Z, T ) }.
% 2.33/2.70 (14368) {G0,W18,D2,L2,V8,M2} { ! eqratio( X, Y, Z, T, U, W, V0, V1 ),
% 2.33/2.70 eqratio( Y, X, Z, T, U, W, V0, V1 ) }.
% 2.33/2.70 (14369) {G0,W18,D2,L2,V8,M2} { ! eqratio( X, Y, Z, T, U, W, V0, V1 ),
% 2.33/2.70 eqratio( Z, T, X, Y, V0, V1, U, W ) }.
% 2.33/2.70 (14370) {G0,W18,D2,L2,V8,M2} { ! eqratio( X, Y, Z, T, U, W, V0, V1 ),
% 2.33/2.70 eqratio( U, W, V0, V1, X, Y, Z, T ) }.
% 2.33/2.70 (14371) {G0,W18,D2,L2,V8,M2} { ! eqratio( X, Y, Z, T, U, W, V0, V1 ),
% 2.33/2.70 eqratio( X, Y, U, W, Z, T, V0, V1 ) }.
% 2.33/2.70 (14372) {G0,W27,D2,L3,V12,M3} { ! eqratio( X, Y, Z, T, V2, V3, V4, V5 ), !
% 2.33/2.70 eqratio( V2, V3, V4, V5, U, W, V0, V1 ), eqratio( X, Y, Z, T, U, W, V0,
% 2.33/2.70 V1 ) }.
% 2.33/2.70 (14373) {G0,W14,D2,L2,V6,M2} { ! simtri( X, Z, Y, T, W, U ), simtri( X, Y
% 2.33/2.70 , Z, T, U, W ) }.
% 2.33/2.70 (14374) {G0,W14,D2,L2,V6,M2} { ! simtri( Y, X, Z, U, T, W ), simtri( X, Y
% 2.33/2.70 , Z, T, U, W ) }.
% 2.33/2.70 (14375) {G0,W14,D2,L2,V6,M2} { ! simtri( T, U, W, X, Y, Z ), simtri( X, Y
% 2.33/2.70 , Z, T, U, W ) }.
% 2.33/2.70 (14376) {G0,W21,D2,L3,V9,M3} { ! simtri( X, Y, Z, V0, V1, V2 ), ! simtri(
% 2.33/2.70 V0, V1, V2, T, U, W ), simtri( X, Y, Z, T, U, W ) }.
% 2.33/2.70 (14377) {G0,W14,D2,L2,V6,M2} { ! contri( X, Z, Y, T, W, U ), contri( X, Y
% 2.33/2.70 , Z, T, U, W ) }.
% 2.33/2.70 (14378) {G0,W14,D2,L2,V6,M2} { ! contri( Y, X, Z, U, T, W ), contri( X, Y
% 2.33/2.70 , Z, T, U, W ) }.
% 2.33/2.70 (14379) {G0,W14,D2,L2,V6,M2} { ! contri( T, U, W, X, Y, Z ), contri( X, Y
% 2.33/2.70 , Z, T, U, W ) }.
% 2.33/2.70 (14380) {G0,W21,D2,L3,V9,M3} { ! contri( X, Y, Z, V0, V1, V2 ), ! contri(
% 2.33/2.70 V0, V1, V2, T, U, W ), contri( X, Y, Z, T, U, W ) }.
% 2.33/2.70 (14381) {G0,W14,D2,L2,V6,M2} { ! eqangle( X, Y, U, W, Z, T, U, W ), para(
% 2.33/2.70 X, Y, Z, T ) }.
% 2.33/2.70 (14382) {G0,W14,D2,L2,V6,M2} { ! para( X, Y, Z, T ), eqangle( X, Y, U, W,
% 2.33/2.70 Z, T, U, W ) }.
% 2.33/2.70 (14383) {G0,W14,D2,L2,V4,M2} { ! cyclic( X, Y, Z, T ), eqangle( Z, X, Z, Y
% 2.33/2.70 , T, X, T, Y ) }.
% 2.33/2.70 (14384) {G0,W18,D2,L3,V4,M3} { ! eqangle( Z, X, Z, Y, T, X, T, Y ), coll(
% 2.33/2.70 Z, T, X ), cyclic( X, Y, Z, T ) }.
% 2.33/2.70 (14385) {G0,W18,D2,L3,V4,M3} { ! eqangle( Z, X, Z, Y, T, X, T, Y ), ! coll
% 2.33/2.70 ( Z, T, Y ), cyclic( X, Y, Z, T ) }.
% 2.33/2.70 (14386) {G0,W29,D2,L5,V6,M5} { ! cyclic( X, Y, U, Z ), ! cyclic( X, Y, U,
% 2.33/2.70 T ), ! cyclic( X, Y, U, W ), ! eqangle( U, X, U, Y, W, Z, W, T ), cong( X
% 2.33/2.70 , Y, Z, T ) }.
% 2.33/2.70 (14387) {G0,W13,D2,L3,V5,M3} { ! midp( Z, U, X ), ! midp( T, U, Y ), para
% 2.33/2.70 ( Z, T, X, Y ) }.
% 2.33/2.70 (14388) {G0,W17,D2,L4,V5,M4} { ! midp( U, X, T ), ! para( U, Z, T, Y ), !
% 2.33/2.70 coll( Z, X, Y ), midp( Z, X, Y ) }.
% 2.33/2.70 (14389) {G0,W14,D2,L2,V3,M2} { ! cong( Z, X, Z, Y ), eqangle( Z, X, X, Y,
% 2.33/2.70 X, Y, Z, Y ) }.
% 2.33/2.70 (14390) {G0,W18,D2,L3,V3,M3} { ! eqangle( Z, X, X, Y, X, Y, Z, Y ), coll(
% 2.33/2.70 Z, X, Y ), cong( Z, X, Z, Y ) }.
% 2.33/2.70 (14391) {G0,W19,D2,L3,V5,M3} { ! circle( U, X, Y, Z ), ! perp( U, X, X, T
% 2.33/2.70 ), eqangle( X, T, X, Y, Z, X, Z, Y ) }.
% 2.33/2.70 (14392) {G0,W19,D2,L3,V5,M3} { ! circle( Y, X, T, U ), ! eqangle( X, Z, X
% 2.33/2.70 , T, U, X, U, T ), perp( Y, X, X, Z ) }.
% 2.33/2.70 (14393) {G0,W18,D2,L3,V5,M3} { ! circle( T, X, Y, Z ), ! midp( U, Y, Z ),
% 2.33/2.70 eqangle( X, Y, X, Z, T, Y, T, U ) }.
% 2.33/2.70 (14394) {G0,W22,D2,L4,V5,M4} { ! circle( U, T, X, Y ), ! coll( Z, X, Y ),
% 2.33/2.70 ! eqangle( T, X, T, Y, U, X, U, Z ), midp( Z, X, Y ) }.
% 2.33/2.70 (14395) {G0,W14,D2,L3,V4,M3} { ! perp( X, Y, Y, T ), ! midp( Z, X, T ),
% 2.33/2.70 cong( X, Z, Y, Z ) }.
% 2.33/2.70 (14396) {G0,W14,D2,L3,V4,M3} { ! circle( T, X, Y, Z ), ! coll( T, X, Z ),
% 2.33/2.70 perp( X, Y, Y, Z ) }.
% 2.33/2.70 (14397) {G0,W19,D2,L3,V4,M3} { ! cyclic( X, Y, Z, T ), ! para( X, Y, Z, T
% 2.33/2.70 ), eqangle( X, T, Z, T, Z, T, Z, Y ) }.
% 2.33/2.70 (14398) {G0,W14,D2,L3,V4,M3} { ! midp( T, X, Y ), ! perp( Z, T, X, Y ),
% 2.33/2.70 cong( Z, X, Z, Y ) }.
% 2.33/2.70 (14399) {G0,W15,D2,L3,V4,M3} { ! cong( X, Z, Y, Z ), ! cong( X, T, Y, T )
% 2.33/2.70 , perp( X, Y, Z, T ) }.
% 2.33/2.70 (14400) {G0,W20,D2,L4,V4,M4} { ! cong( X, Y, T, Y ), ! cong( X, Z, T, Z )
% 2.33/2.70 , ! cyclic( X, T, Y, Z ), perp( Y, X, X, Z ) }.
% 2.33/2.70 (14401) {G0,W29,D2,L4,V6,M4} { ! eqangle( X, Y, Y, Z, T, U, U, W ), !
% 2.33/2.70 eqangle( X, Z, Y, Z, T, W, U, W ), coll( X, Y, Z ), simtri( X, Y, Z, T, U
% 2.33/2.70 , W ) }.
% 2.33/2.70 (14402) {G0,W16,D2,L2,V6,M2} { ! simtri( X, Y, Z, T, U, W ), eqratio( X, Y
% 2.33/2.70 , X, Z, T, U, T, W ) }.
% 2.33/2.70 (14403) {G0,W16,D2,L2,V6,M2} { ! simtri( X, Y, Z, T, U, W ), eqangle( X, Y
% 2.33/2.70 , Y, Z, T, U, U, W ) }.
% 2.33/2.70 (14404) {G0,W19,D2,L3,V6,M3} { ! simtri( X, Y, Z, T, U, W ), ! cong( X, Y
% 2.33/2.70 , T, U ), contri( X, Y, Z, T, U, W ) }.
% 2.33/2.70 (14405) {G0,W12,D2,L2,V6,M2} { ! contri( X, Y, U, Z, T, W ), cong( X, Y, Z
% 2.33/2.70 , T ) }.
% 2.33/2.70 (14406) {G0,W13,D2,L3,V5,M3} { ! midp( U, X, Y ), ! midp( U, Z, T ), para
% 2.33/2.70 ( X, Z, Y, T ) }.
% 2.33/2.70 (14407) {G0,W18,D2,L4,V5,M4} { ! midp( Z, T, U ), ! para( T, X, U, Y ), !
% 2.33/2.70 para( T, Y, U, X ), midp( Z, X, Y ) }.
% 2.33/2.70 (14408) {G0,W22,D2,L4,V5,M4} { ! para( X, Y, Z, T ), ! coll( U, X, Z ), !
% 2.33/2.70 coll( U, Y, T ), eqratio( U, X, X, Z, U, Y, Y, T ) }.
% 2.33/2.70 (14409) {G0,W9,D2,L2,V3,M2} { ! para( X, Y, X, Z ), coll( X, Y, Z ) }.
% 2.33/2.70 (14410) {G0,W13,D2,L3,V3,M3} { ! cong( X, Y, X, Z ), ! coll( X, Y, Z ),
% 2.33/2.70 midp( X, Y, Z ) }.
% 2.33/2.70 (14411) {G0,W9,D2,L2,V3,M2} { ! midp( X, Y, Z ), cong( X, Y, X, Z ) }.
% 2.33/2.70 (14412) {G0,W8,D2,L2,V3,M2} { ! midp( X, Y, Z ), coll( X, Y, Z ) }.
% 2.33/2.70 (14413) {G0,W17,D2,L3,V6,M3} { ! midp( U, X, Y ), ! midp( W, Z, T ),
% 2.33/2.70 eqratio( U, X, X, Y, W, Z, Z, T ) }.
% 2.33/2.70 (14414) {G0,W19,D2,L3,V4,M3} { ! eqangle( X, Y, Z, T, Z, T, X, Y ), para(
% 2.33/2.70 X, Y, Z, T ), perp( X, Y, Z, T ) }.
% 2.33/2.70 (14415) {G0,W19,D2,L3,V4,M3} { ! eqangle( X, Y, Z, T, Z, T, X, Y ), perp(
% 2.33/2.70 X, Y, Z, T ), para( X, Y, Z, T ) }.
% 2.33/2.70 (14416) {G0,W19,D2,L3,V8,M3} { ! eqangle( X, Y, Z, T, U, W, V0, V1 ), !
% 2.33/2.70 para( U, W, V0, V1 ), para( X, Y, Z, T ) }.
% 2.33/2.70 (14417) {G0,W19,D2,L3,V8,M3} { ! eqangle( X, Y, Z, T, U, W, V0, V1 ), !
% 2.33/2.70 perp( U, W, V0, V1 ), perp( X, Y, Z, T ) }.
% 2.33/2.70 (14418) {G0,W19,D2,L3,V8,M3} { ! eqratio( X, Y, Z, T, U, W, V0, V1 ), !
% 2.33/2.70 cong( U, W, V0, V1 ), cong( X, Y, Z, T ) }.
% 2.33/2.70 (14419) {G0,W22,D3,L3,V6,M3} { ! perp( Z, Y, Y, X ), ! eqangle( T, Z, Y, Z
% 2.33/2.70 , Y, Z, X, Z ), coll( skol1( U, W, Z, T ), Z, T ) }.
% 2.33/2.70 (14420) {G0,W22,D3,L3,V4,M3} { ! perp( Z, Y, Y, X ), ! eqangle( T, Z, Y, Z
% 2.33/2.70 , Y, Z, X, Z ), coll( skol1( X, Y, Z, T ), X, Y ) }.
% 2.33/2.70 (14421) {G0,W22,D3,L3,V6,M3} { ! cong( Z, X, Z, Y ), ! eqangle( X, Z, Z, T
% 2.33/2.70 , Z, T, Z, Y ), coll( skol2( U, W, Z, T ), Z, T ) }.
% 2.33/2.70 (14422) {G0,W22,D3,L3,V4,M3} { ! cong( Z, X, Z, Y ), ! eqangle( X, Z, Z, T
% 2.33/2.70 , Z, T, Z, Y ), coll( Y, X, skol2( X, Y, Z, T ) ) }.
% 2.33/2.70 (14423) {G0,W22,D3,L3,V6,M3} { ! perp( Z, T, X, Y ), ! eqangle( X, Z, Z, T
% 2.33/2.70 , Z, T, Z, Y ), coll( skol3( U, W, Z, T ), Z, T ) }.
% 2.33/2.70 (14424) {G0,W22,D3,L3,V4,M3} { ! perp( Z, T, X, Y ), ! eqangle( X, Z, Z, T
% 2.33/2.70 , Z, T, Z, Y ), coll( Y, X, skol3( X, Y, Z, T ) ) }.
% 2.33/2.70 (14425) {G0,W18,D3,L3,V6,M3} { ! perp( Z, T, X, Y ), ! cong( Z, X, Z, Y )
% 2.33/2.70 , coll( skol4( U, W, Z, T ), Z, T ) }.
% 2.33/2.70 (14426) {G0,W18,D3,L3,V4,M3} { ! perp( Z, T, X, Y ), ! cong( Z, X, Z, Y )
% 2.33/2.70 , coll( Y, X, skol4( X, Y, Z, T ) ) }.
% 2.33/2.70 (14427) {G0,W22,D3,L3,V6,M3} { ! eqangle( X, Z, Y, Z, X, T, Y, U ), coll(
% 2.33/2.70 X, Y, Z ), cyclic( T, Y, Z, skol5( W, Y, Z, T ) ) }.
% 2.33/2.70 (14428) {G0,W30,D3,L3,V5,M3} { ! eqangle( X, Z, Y, Z, X, T, Y, U ), coll(
% 2.33/2.70 X, Y, Z ), eqangle( X, Z, Y, Z, X, skol5( X, Y, Z, T ), Y, skol5( X, Y, Z
% 2.33/2.70 , T ) ) }.
% 2.33/2.70 (14429) {G0,W18,D3,L3,V10,M3} { ! midp( U, X, Y ), ! midp( W, Z, T ), midp
% 2.33/2.70 ( skol6( X, V0, V1, T, V2, V3 ), X, T ) }.
% 2.33/2.70 (14430) {G0,W19,D3,L3,V8,M3} { ! midp( U, X, Y ), ! midp( W, Z, T ), para
% 2.33/2.70 ( skol6( X, V0, Z, T, V1, W ), W, X, Z ) }.
% 2.33/2.70 (14431) {G0,W19,D3,L3,V6,M3} { ! midp( U, X, Y ), ! midp( W, Z, T ), para
% 2.33/2.70 ( skol6( X, Y, Z, T, U, W ), U, Y, T ) }.
% 2.33/2.70 (14432) {G0,W22,D3,L5,V7,M5} { ! midp( Z, X, Y ), ! midp( W, T, U ), !
% 2.33/2.70 coll( T, X, Y ), ! coll( U, X, Y ), midp( skol7( X, V0 ), X, V0 ) }.
% 2.33/2.70 (14433) {G0,W26,D3,L5,V8,M5} { ! midp( T, X, U ), ! para( X, W, Z, T ), !
% 2.33/2.70 para( X, W, U, Y ), ! coll( W, Y, Z ), coll( skol8( V0, V1, Z, T ), T, Z
% 2.33/2.70 ) }.
% 2.33/2.70 (14434) {G0,W26,D3,L5,V6,M5} { ! midp( T, X, U ), ! para( X, W, Z, T ), !
% 2.33/2.70 para( X, W, U, Y ), ! coll( W, Y, Z ), coll( skol8( X, Y, Z, T ), X, Y )
% 2.33/2.70 }.
% 2.33/2.70 (14435) {G0,W19,D3,L3,V7,M3} { ! cong( T, Z, T, U ), ! perp( X, Y, Y, T )
% 2.33/2.70 , cong( T, Z, T, skol9( W, V0, Z, T ) ) }.
% 2.33/2.70 (14436) {G0,W19,D3,L3,V6,M3} { ! cong( T, Z, T, U ), ! perp( X, Y, Y, T )
% 2.33/2.70 , cong( Y, Z, Y, skol9( W, Y, Z, T ) ) }.
% 2.33/2.70 (14437) {G0,W19,D3,L3,V5,M3} { ! cong( T, Z, T, U ), ! perp( X, Y, Y, T )
% 2.33/2.70 , para( skol9( X, Y, Z, T ), Z, X, Y ) }.
% 2.33/2.70 (14438) {G0,W17,D3,L3,V5,M3} { ! perp( X, T, Y, Z ), ! perp( Y, T, X, Z )
% 2.33/2.70 , coll( skol10( U, Y, Z ), Z, Y ) }.
% 2.33/2.70 (14439) {G0,W18,D3,L3,V4,M3} { ! perp( X, T, Y, Z ), ! perp( Y, T, X, Z )
% 2.33/2.70 , perp( X, skol10( X, Y, Z ), Z, Y ) }.
% 2.33/2.70 (14440) {G0,W14,D2,L3,V4,M3} { ! perp( X, T, Y, Z ), ! perp( Y, T, X, Z )
% 2.33/2.70 , alpha1( X, Y, Z ) }.
% 2.33/2.70 (14441) {G0,W11,D3,L2,V4,M2} { ! alpha1( X, Y, Z ), coll( skol11( X, T, Z
% 2.33/2.70 ), Z, X ) }.
% 2.33/2.70 (14442) {G0,W12,D3,L2,V3,M2} { ! alpha1( X, Y, Z ), perp( Y, skol11( X, Y
% 2.33/2.70 , Z ), Z, X ) }.
% 2.33/2.70 (14443) {G0,W13,D2,L3,V4,M3} { ! coll( T, Z, X ), ! perp( Y, T, Z, X ),
% 2.33/2.70 alpha1( X, Y, Z ) }.
% 2.33/2.70 (14444) {G0,W12,D3,L2,V4,M2} { ! circle( Y, X, Z, T ), perp( skol12( X, Y
% 2.33/2.70 ), X, X, Y ) }.
% 2.33/2.70 (14445) {G0,W28,D3,L5,V8,M5} { ! circle( W, X, Y, Z ), ! cong( W, X, W, T
% 2.33/2.70 ), ! cong( U, X, U, Y ), W = U, alpha2( X, Z, U, skol13( X, V0, Z, V1, U
% 2.33/2.70 ) ) }.
% 2.33/2.70 (14446) {G0,W26,D3,L5,V8,M5} { ! circle( W, X, Y, Z ), ! cong( W, X, W, T
% 2.33/2.70 ), ! cong( U, X, U, Y ), W = U, coll( skol21( V0, Y, T, V1 ), Y, T ) }.
% 2.33/2.70 (14447) {G0,W27,D3,L5,V6,M5} { ! circle( W, X, Y, Z ), ! cong( W, X, W, T
% 2.33/2.70 ), ! cong( U, X, U, Y ), W = U, cong( skol21( X, Y, T, U ), U, U, X )
% 2.33/2.70 }.
% 2.33/2.70 (14448) {G0,W9,D2,L2,V4,M2} { ! alpha2( X, Y, Z, T ), coll( T, X, Y ) }.
% 2.33/2.70 (14449) {G0,W10,D2,L2,V4,M2} { ! alpha2( X, Y, Z, T ), cong( T, Z, Z, X )
% 2.33/2.70 }.
% 2.33/2.70 (14450) {G0,W14,D2,L3,V4,M3} { ! coll( T, X, Y ), ! cong( T, Z, Z, X ),
% 2.33/2.70 alpha2( X, Y, Z, T ) }.
% 2.33/2.70 (14451) {G0,W22,D3,L4,V5,M4} { ! cyclic( X, Y, Z, T ), ! para( X, Y, Z, T
% 2.33/2.70 ), ! midp( U, X, Y ), circle( skol14( X, Y, Z ), X, Y, Z ) }.
% 2.33/2.70 (14452) {G0,W18,D3,L3,V4,M3} { ! perp( X, Z, Z, Y ), ! cyclic( X, Y, Z, T
% 2.33/2.70 ), circle( skol15( X, Y, Z ), X, Y, Z ) }.
% 2.33/2.70 (14453) {G0,W16,D3,L3,V6,M3} { ! perp( X, U, U, T ), ! coll( T, Y, Z ),
% 2.33/2.70 coll( skol16( W, Y, Z ), Y, Z ) }.
% 2.33/2.70 (14454) {G0,W17,D3,L3,V5,M3} { ! perp( X, U, U, T ), ! coll( T, Y, Z ),
% 2.33/2.70 perp( skol16( X, Y, Z ), X, Y, Z ) }.
% 2.33/2.70 (14455) {G0,W20,D3,L4,V5,M4} { ! perp( X, Z, X, Y ), ! perp( Y, X, Y, T )
% 2.33/2.70 , ! midp( U, Z, T ), midp( skol17( X, Y ), X, Y ) }.
% 2.33/2.70 (14456) {G0,W16,D3,L3,V3,M3} { ! cong( Y, X, Y, Z ), ! perp( X, Y, Y, Z )
% 2.33/2.70 , coll( X, Y, skol18( X, Y ) ) }.
% 2.33/2.70 (14457) {G0,W17,D3,L3,V3,M3} { ! cong( Y, X, Y, Z ), ! perp( X, Y, Y, Z )
% 2.33/2.70 , cong( Y, X, Y, skol18( X, Y ) ) }.
% 2.33/2.70 (14458) {G0,W25,D3,L5,V8,M5} { ! para( U, W, X, Y ), ! coll( Z, U, X ), !
% 2.33/2.70 coll( Z, W, Y ), ! coll( T, U, W ), coll( Z, T, skol19( V0, V1, Z, T ) )
% 2.33/2.70 }.
% 2.33/2.70 (14459) {G0,W25,D3,L5,V6,M5} { ! para( U, W, X, Y ), ! coll( Z, U, X ), !
% 2.33/2.70 coll( Z, W, Y ), ! coll( T, U, W ), coll( skol19( X, Y, Z, T ), X, Y )
% 2.33/2.70 }.
% 2.33/2.70 (14460) {G0,W9,D2,L1,V0,M1} { eqangle( skol27, skol24, skol24, skol25,
% 2.33/2.70 skol27, skol24, skol24, skol26 ) }.
% 2.33/2.70 (14461) {G0,W9,D2,L1,V0,M1} { eqangle( skol27, skol25, skol25, skol26,
% 2.33/2.70 skol27, skol25, skol25, skol24 ) }.
% 2.33/2.70 (14462) {G0,W9,D2,L1,V0,M1} { eqangle( skol27, skol26, skol26, skol24,
% 2.33/2.70 skol27, skol26, skol26, skol25 ) }.
% 2.33/2.70 (14463) {G0,W5,D2,L1,V0,M1} { perp( skol20, skol27, skol24, skol26 ) }.
% 2.33/2.70 (14464) {G0,W4,D2,L1,V0,M1} { coll( skol20, skol24, skol26 ) }.
% 2.33/2.70 (14465) {G0,W5,D2,L1,V0,M1} { perp( skol22, skol27, skol25, skol26 ) }.
% 2.33/2.70 (14466) {G0,W4,D2,L1,V0,M1} { coll( skol22, skol25, skol26 ) }.
% 2.33/2.70 (14467) {G0,W5,D2,L1,V0,M1} { perp( skol23, skol25, skol24, skol27 ) }.
% 2.33/2.70 (14468) {G0,W4,D2,L1,V0,M1} { coll( skol23, skol24, skol27 ) }.
% 2.33/2.70 (14469) {G0,W4,D2,L1,V0,M1} { ! coll( skol23, skol20, skol22 ) }.
% 2.33/2.70
% 2.33/2.70
% 2.33/2.70 Total Proof:
% 2.33/2.70
% 2.33/2.70 subsumption: (0) {G0,W8,D2,L2,V3,M2} I { ! coll( X, Y, Z ), coll( X, Z, Y )
% 2.33/2.70 }.
% 2.33/2.70 parent0: (14343) {G0,W8,D2,L2,V3,M2} { ! coll( X, Y, Z ), coll( X, Z, Y )
% 2.33/2.70 }.
% 2.33/2.70 substitution0:
% 2.33/2.70 X := X
% 2.33/2.70 Y := Y
% 2.33/2.70 Z := Z
% 2.33/2.70 end
% 2.33/2.70 permutation0:
% 2.33/2.70 0 ==> 0
% 2.33/2.70 1 ==> 1
% 2.33/2.70 end
% 2.33/2.70
% 2.33/2.70 subsumption: (1) {G0,W8,D2,L2,V3,M2} I { ! coll( X, Y, Z ), coll( Y, X, Z )
% 2.33/2.70 }.
% 2.33/2.70 parent0: (14344) {G0,W8,D2,L2,V3,M2} { ! coll( X, Y, Z ), coll( Y, X, Z )
% 2.33/2.70 }.
% 2.33/2.70 substitution0:
% 2.33/2.70 X := X
% 2.33/2.70 Y := Y
% 2.33/2.70 Z := Z
% 2.33/2.70 end
% 2.33/2.70 permutation0:
% 2.33/2.70 0 ==> 0
% 2.33/2.70 1 ==> 1
% 2.33/2.70 end
% 2.33/2.70
% 2.33/2.70 subsumption: (2) {G0,W12,D2,L3,V4,M3} I { ! coll( X, T, Y ), ! coll( X, T,
% 2.33/2.70 Z ), coll( Y, Z, X ) }.
% 2.33/2.70 parent0: (14345) {G0,W12,D2,L3,V4,M3} { ! coll( X, T, Y ), ! coll( X, T, Z
% 2.33/2.70 ), coll( Y, Z, X ) }.
% 2.33/2.70 substitution0:
% 2.33/2.70 X := X
% 2.33/2.70 Y := Y
% 2.33/2.70 Z := Z
% 2.33/2.70 T := T
% 2.33/2.70 end
% 2.33/2.70 permutation0:
% 2.33/2.70 0 ==> 0
% 2.33/2.70 1 ==> 1
% 2.33/2.70 2 ==> 2
% 2.33/2.70 end
% 2.33/2.70
% 2.33/2.70 subsumption: (3) {G0,W10,D2,L2,V4,M2} I { ! para( X, Y, Z, T ), para( X, Y
% 2.33/2.70 , T, Z ) }.
% 2.33/2.70 parent0: (14346) {G0,W10,D2,L2,V4,M2} { ! para( X, Y, Z, T ), para( X, Y,
% 2.33/2.70 T, Z ) }.
% 2.33/2.70 substitution0:
% 2.33/2.70 X := X
% 2.33/2.70 Y := Y
% 2.33/2.70 Z := Z
% 2.33/2.70 T := T
% 2.33/2.70 end
% 2.33/2.70 permutation0:
% 2.33/2.70 0 ==> 0
% 2.33/2.70 1 ==> 1
% 2.33/2.70 end
% 2.33/2.70
% 2.33/2.70 subsumption: (4) {G0,W10,D2,L2,V4,M2} I { ! para( X, Y, Z, T ), para( Z, T
% 2.33/2.70 , X, Y ) }.
% 2.33/2.70 parent0: (14347) {G0,W10,D2,L2,V4,M2} { ! para( X, Y, Z, T ), para( Z, T,
% 2.33/2.70 X, Y ) }.
% 2.33/2.70 substitution0:
% 2.33/2.70 X := X
% 2.33/2.70 Y := Y
% 2.33/2.70 Z := Z
% 2.33/2.70 T := T
% 2.33/2.70 end
% 2.33/2.70 permutation0:
% 2.33/2.70 0 ==> 0
% 2.33/2.70 1 ==> 1
% 2.33/2.70 end
% 2.33/2.70
% 2.33/2.70 subsumption: (5) {G0,W15,D2,L3,V6,M3} I { ! para( X, Y, U, W ), ! para( U,
% 2.33/2.70 W, Z, T ), para( X, Y, Z, T ) }.
% 2.33/2.70 parent0: (14348) {G0,W15,D2,L3,V6,M3} { ! para( X, Y, U, W ), ! para( U, W
% 2.33/2.70 , Z, T ), para( X, Y, Z, T ) }.
% 2.33/2.70 substitution0:
% 2.33/2.70 X := X
% 2.33/2.70 Y := Y
% 2.33/2.70 Z := Z
% 2.33/2.70 T := T
% 2.33/2.70 U := U
% 2.33/2.70 W := W
% 2.33/2.70 end
% 2.33/2.70 permutation0:
% 2.33/2.70 0 ==> 0
% 2.33/2.70 1 ==> 1
% 2.33/2.70 2 ==> 2
% 2.33/2.70 end
% 2.33/2.70
% 2.33/2.70 subsumption: (6) {G0,W10,D2,L2,V4,M2} I { ! perp( X, Y, Z, T ), perp( X, Y
% 2.33/2.70 , T, Z ) }.
% 2.33/2.70 parent0: (14349) {G0,W10,D2,L2,V4,M2} { ! perp( X, Y, Z, T ), perp( X, Y,
% 2.33/2.70 T, Z ) }.
% 2.33/2.70 substitution0:
% 2.33/2.70 X := X
% 2.33/2.70 Y := Y
% 2.33/2.70 Z := Z
% 2.33/2.70 T := T
% 2.33/2.70 end
% 2.33/2.70 permutation0:
% 2.33/2.70 0 ==> 0
% 2.33/2.70 1 ==> 1
% 2.33/2.70 end
% 2.33/2.70
% 2.33/2.70 subsumption: (7) {G0,W10,D2,L2,V4,M2} I { ! perp( X, Y, Z, T ), perp( Z, T
% 2.33/2.70 , X, Y ) }.
% 2.33/2.70 parent0: (14350) {G0,W10,D2,L2,V4,M2} { ! perp( X, Y, Z, T ), perp( Z, T,
% 2.33/2.70 X, Y ) }.
% 2.33/2.70 substitution0:
% 2.33/2.70 X := X
% 2.33/2.70 Y := Y
% 2.33/2.70 Z := Z
% 2.33/2.70 T := T
% 2.33/2.70 end
% 2.33/2.70 permutation0:
% 2.33/2.70 0 ==> 0
% 2.33/2.70 1 ==> 1
% 2.33/2.70 end
% 2.33/2.70
% 2.33/2.70 subsumption: (8) {G0,W15,D2,L3,V6,M3} I { ! perp( X, Y, U, W ), ! perp( U,
% 2.33/2.70 W, Z, T ), para( X, Y, Z, T ) }.
% 2.33/2.70 parent0: (14351) {G0,W15,D2,L3,V6,M3} { ! perp( X, Y, U, W ), ! perp( U, W
% 2.33/2.70 , Z, T ), para( X, Y, Z, T ) }.
% 2.33/2.70 substitution0:
% 2.33/2.70 X := X
% 2.33/2.70 Y := Y
% 2.33/2.70 Z := Z
% 2.33/2.70 T := T
% 2.33/2.70 U := U
% 2.33/2.70 W := W
% 2.33/2.70 end
% 2.33/2.70 permutation0:
% 2.33/2.70 0 ==> 0
% 2.33/2.70 1 ==> 1
% 2.33/2.70 2 ==> 2
% 2.33/2.70 end
% 2.33/2.70
% 2.33/2.70 subsumption: (66) {G0,W9,D2,L2,V3,M2} I { ! para( X, Y, X, Z ), coll( X, Y
% 2.33/2.70 , Z ) }.
% 2.33/2.70 parent0: (14409) {G0,W9,D2,L2,V3,M2} { ! para( X, Y, X, Z ), coll( X, Y, Z
% 2.33/2.70 ) }.
% 2.33/2.70 substitution0:
% 2.33/2.70 X := X
% 2.33/2.70 Y := Y
% 2.33/2.70 Z := Z
% 2.33/2.70 end
% 2.33/2.70 permutation0:
% 2.33/2.70 0 ==> 0
% 2.33/2.70 1 ==> 1
% 2.33/2.70 end
% 2.33/2.70
% 2.33/2.70 subsumption: (119) {G0,W5,D2,L1,V0,M1} I { perp( skol20, skol27, skol24,
% 2.33/2.70 skol26 ) }.
% 2.33/2.70 parent0: (14463) {G0,W5,D2,L1,V0,M1} { perp( skol20, skol27, skol24,
% 2.33/2.70 skol26 ) }.
% 2.33/2.70 substitution0:
% 2.33/2.70 end
% 2.33/2.70 permutation0:
% 2.33/2.70 0 ==> 0
% 2.33/2.70 end
% 2.33/2.70
% 2.33/2.70 subsumption: (120) {G0,W4,D2,L1,V0,M1} I { coll( skol20, skol24, skol26 )
% 2.33/2.70 }.
% 2.33/2.70 parent0: (14464) {G0,W4,D2,L1,V0,M1} { coll( skol20, skol24, skol26 ) }.
% 2.33/2.70 substitution0:
% 2.33/2.70 end
% 2.33/2.70 permutation0:
% 2.33/2.70 0 ==> 0
% 2.33/2.70 end
% 2.33/2.70
% 2.33/2.70 subsumption: (122) {G0,W4,D2,L1,V0,M1} I { coll( skol22, skol25, skol26 )
% 2.33/2.70 }.
% 2.33/2.70 parent0: (14466) {G0,W4,D2,L1,V0,M1} { coll( skol22, skol25, skol26 ) }.
% 2.33/2.70 substitution0:
% 2.33/2.70 end
% 2.33/2.70 permutation0:
% 2.33/2.70 0 ==> 0
% 2.33/2.70 end
% 2.33/2.70
% 2.33/2.70 subsumption: (124) {G0,W4,D2,L1,V0,M1} I { coll( skol23, skol24, skol27 )
% 2.33/2.70 }.
% 2.33/2.70 parent0: (14468) {G0,W4,D2,L1,V0,M1} { coll( skol23, skol24, skol27 ) }.
% 2.33/2.70 substitution0:
% 2.33/2.70 end
% 2.33/2.70 permutation0:
% 2.33/2.70 0 ==> 0
% 2.33/2.70 end
% 2.33/2.70
% 2.33/2.70 subsumption: (125) {G0,W4,D2,L1,V0,M1} I { ! coll( skol23, skol20, skol22 )
% 2.33/2.70 }.
% 2.33/2.70 parent0: (14469) {G0,W4,D2,L1,V0,M1} { ! coll( skol23, skol20, skol22 )
% 2.33/2.70 }.
% 2.33/2.70 substitution0:
% 2.33/2.70 end
% 2.33/2.70 permutation0:
% 2.33/2.70 0 ==> 0
% 2.33/2.70 end
% 2.33/2.70
% 2.33/2.70 factor: (14767) {G0,W8,D2,L2,V3,M2} { ! coll( X, Y, Z ), coll( Z, Z, X )
% 2.33/2.70 }.
% 2.33/2.70 parent0[0, 1]: (2) {G0,W12,D2,L3,V4,M3} I { ! coll( X, T, Y ), ! coll( X, T
% 2.33/2.70 , Z ), coll( Y, Z, X ) }.
% 2.33/2.70 substitution0:
% 2.33/2.70 X := X
% 2.33/2.70 Y := Z
% 2.33/2.70 Z := Z
% 2.33/2.70 T := Y
% 2.33/2.70 end
% 2.33/2.70
% 2.33/2.70 subsumption: (126) {G1,W8,D2,L2,V3,M2} F(2) { ! coll( X, Y, Z ), coll( Z, Z
% 2.33/2.70 , X ) }.
% 2.33/2.70 parent0: (14767) {G0,W8,D2,L2,V3,M2} { ! coll( X, Y, Z ), coll( Z, Z, X )
% 2.33/2.70 }.
% 2.33/2.70 substitution0:
% 2.33/2.70 X := X
% 2.33/2.70 Y := Y
% 2.33/2.70 Z := Z
% 2.33/2.70 end
% 2.33/2.70 permutation0:
% 2.33/2.70 0 ==> 0
% 2.33/2.70 1 ==> 1
% 2.33/2.70 end
% 2.33/2.70
% 2.33/2.70 resolution: (14768) {G1,W4,D2,L1,V0,M1} { ! coll( skol23, skol22, skol20 )
% 2.33/2.70 }.
% 2.33/2.70 parent0[0]: (125) {G0,W4,D2,L1,V0,M1} I { ! coll( skol23, skol20, skol22 )
% 2.33/2.70 }.
% 2.33/2.70 parent1[1]: (0) {G0,W8,D2,L2,V3,M2} I { ! coll( X, Y, Z ), coll( X, Z, Y )
% 2.33/2.70 }.
% 2.33/2.70 substitution0:
% 2.33/2.70 end
% 2.33/2.70 substitution1:
% 2.33/2.70 X := skol23
% 2.33/2.70 Y := skol22
% 2.33/2.70 Z := skol20
% 2.33/2.70 end
% 2.33/2.70
% 2.33/2.70 subsumption: (166) {G1,W4,D2,L1,V0,M1} R(0,125) { ! coll( skol23, skol22,
% 2.33/2.70 skol20 ) }.
% 2.33/2.70 parent0: (14768) {G1,W4,D2,L1,V0,M1} { ! coll( skol23, skol22, skol20 )
% 2.33/2.70 }.
% 2.33/2.70 substitution0:
% 2.33/2.70 end
% 2.33/2.70 permutation0:
% 2.33/2.70 0 ==> 0
% 2.33/2.70 end
% 2.33/2.70
% 2.33/2.70 resolution: (14769) {G1,W4,D2,L1,V0,M1} { ! coll( skol22, skol23, skol20 )
% 2.33/2.70 }.
% 2.33/2.70 parent0[0]: (166) {G1,W4,D2,L1,V0,M1} R(0,125) { ! coll( skol23, skol22,
% 2.33/2.70 skol20 ) }.
% 2.33/2.70 parent1[1]: (1) {G0,W8,D2,L2,V3,M2} I { ! coll( X, Y, Z ), coll( Y, X, Z )
% 2.33/2.70 }.
% 2.33/2.70 substitution0:
% 2.33/2.70 end
% 2.33/2.70 substitution1:
% 2.33/2.70 X := skol22
% 2.33/2.70 Y := skol23
% 2.33/2.70 Z := skol20
% 2.33/2.70 end
% 2.33/2.70
% 2.33/2.70 subsumption: (167) {G2,W4,D2,L1,V0,M1} R(1,166) { ! coll( skol22, skol23,
% 2.33/2.70 skol20 ) }.
% 2.33/2.70 parent0: (14769) {G1,W4,D2,L1,V0,M1} { ! coll( skol22, skol23, skol20 )
% 2.33/2.70 }.
% 2.33/2.70 substitution0:
% 2.33/2.70 end
% 2.33/2.70 permutation0:
% 2.33/2.70 0 ==> 0
% 2.33/2.70 end
% 2.33/2.70
% 2.33/2.70 resolution: (14771) {G1,W8,D2,L2,V3,M2} { coll( X, Z, Y ), ! coll( Y, X, Z
% 2.33/2.70 ) }.
% 2.33/2.70 parent0[0]: (0) {G0,W8,D2,L2,V3,M2} I { ! coll( X, Y, Z ), coll( X, Z, Y )
% 2.33/2.70 }.
% 2.33/2.70 parent1[1]: (1) {G0,W8,D2,L2,V3,M2} I { ! coll( X, Y, Z ), coll( Y, X, Z )
% 2.33/2.70 }.
% 2.33/2.70 substitution0:
% 2.33/2.70 X := X
% 2.33/2.70 Y := Y
% 2.33/2.70 Z := Z
% 2.33/2.70 end
% 2.33/2.70 substitution1:
% 2.33/2.70 X := Y
% 2.33/2.70 Y := X
% 2.33/2.70 Z := Z
% 2.33/2.70 end
% 2.33/2.70
% 2.33/2.70 subsumption: (172) {G1,W8,D2,L2,V3,M2} R(1,0) { ! coll( X, Y, Z ), coll( Y
% 2.33/2.70 , Z, X ) }.
% 2.33/2.70 parent0: (14771) {G1,W8,D2,L2,V3,M2} { coll( X, Z, Y ), ! coll( Y, X, Z )
% 2.33/2.70 }.
% 2.33/2.70 substitution0:
% 2.33/2.70 X := Y
% 2.33/2.70 Y := X
% 2.33/2.70 Z := Z
% 2.33/2.70 end
% 2.33/2.70 permutation0:
% 2.33/2.70 0 ==> 1
% 2.33/2.70 1 ==> 0
% 2.33/2.70 end
% 2.33/2.70
% 2.33/2.70 resolution: (14772) {G1,W16,D2,L4,V5,M4} { ! coll( X, Y, T ), coll( Z, T,
% 2.33/2.70 X ), ! coll( Z, U, X ), ! coll( Z, U, Y ) }.
% 2.33/2.70 parent0[0]: (2) {G0,W12,D2,L3,V4,M3} I { ! coll( X, T, Y ), ! coll( X, T, Z
% 2.33/2.70 ), coll( Y, Z, X ) }.
% 2.33/2.70 parent1[2]: (2) {G0,W12,D2,L3,V4,M3} I { ! coll( X, T, Y ), ! coll( X, T, Z
% 2.33/2.70 ), coll( Y, Z, X ) }.
% 2.33/2.70 substitution0:
% 2.33/2.70 X := X
% 2.33/2.70 Y := Z
% 2.33/2.70 Z := T
% 2.33/2.70 T := Y
% 2.33/2.70 end
% 2.33/2.70 substitution1:
% 2.33/2.70 X := Z
% 2.33/2.70 Y := X
% 2.33/2.70 Z := Y
% 2.33/2.70 T := U
% 2.33/2.70 end
% 2.33/2.70
% 2.33/2.70 subsumption: (180) {G1,W16,D2,L4,V5,M4} R(2,2) { ! coll( X, Y, Z ), coll( T
% 2.33/2.70 , Z, X ), ! coll( T, U, X ), ! coll( T, U, Y ) }.
% 2.33/2.70 parent0: (14772) {G1,W16,D2,L4,V5,M4} { ! coll( X, Y, T ), coll( Z, T, X )
% 2.33/2.70 , ! coll( Z, U, X ), ! coll( Z, U, Y ) }.
% 2.33/2.70 substitution0:
% 2.33/2.70 X := X
% 2.33/2.70 Y := Y
% 2.33/2.70 Z := T
% 2.33/2.70 T := Z
% 2.33/2.70 U := U
% 2.33/2.70 end
% 2.33/2.70 permutation0:
% 2.33/2.70 0 ==> 0
% 2.33/2.70 1 ==> 1
% 2.33/2.70 2 ==> 2
% 2.33/2.70 3 ==> 3
% 2.33/2.70 end
% 2.33/2.70
% 2.33/2.70 resolution: (14780) {G1,W8,D2,L2,V1,M2} { ! coll( skol20, X, skol22 ), !
% 2.33/2.70 coll( skol20, X, skol23 ) }.
% 2.33/2.70 parent0[0]: (167) {G2,W4,D2,L1,V0,M1} R(1,166) { ! coll( skol22, skol23,
% 2.33/2.70 skol20 ) }.
% 2.33/2.70 parent1[2]: (2) {G0,W12,D2,L3,V4,M3} I { ! coll( X, T, Y ), ! coll( X, T, Z
% 2.33/2.70 ), coll( Y, Z, X ) }.
% 2.33/2.70 substitution0:
% 2.33/2.70 end
% 2.33/2.70 substitution1:
% 2.33/2.70 X := skol20
% 2.33/2.70 Y := skol22
% 2.33/2.70 Z := skol23
% 2.33/2.70 T := X
% 2.33/2.70 end
% 2.33/2.70
% 2.33/2.70 subsumption: (185) {G3,W8,D2,L2,V1,M2} R(2,167) { ! coll( skol20, X, skol22
% 2.33/2.70 ), ! coll( skol20, X, skol23 ) }.
% 2.33/2.70 parent0: (14780) {G1,W8,D2,L2,V1,M2} { ! coll( skol20, X, skol22 ), ! coll
% 2.33/2.70 ( skol20, X, skol23 ) }.
% 2.33/2.70 substitution0:
% 2.33/2.70 X := X
% 2.33/2.70 end
% 2.33/2.70 permutation0:
% 2.33/2.70 0 ==> 0
% 2.33/2.70 1 ==> 1
% 2.33/2.70 end
% 2.33/2.70
% 2.33/2.70 resolution: (14784) {G1,W12,D2,L3,V4,M3} { coll( X, Z, Y ), ! coll( Z, T,
% 2.33/2.70 X ), ! coll( Z, T, Y ) }.
% 2.33/2.70 parent0[0]: (0) {G0,W8,D2,L2,V3,M2} I { ! coll( X, Y, Z ), coll( X, Z, Y )
% 2.33/2.70 }.
% 2.33/2.70 parent1[2]: (2) {G0,W12,D2,L3,V4,M3} I { ! coll( X, T, Y ), ! coll( X, T, Z
% 2.33/2.70 ), coll( Y, Z, X ) }.
% 2.33/2.70 substitution0:
% 2.33/2.70 X := X
% 2.33/2.70 Y := Y
% 2.33/2.70 Z := Z
% 2.33/2.70 end
% 2.33/2.70 substitution1:
% 2.33/2.70 X := Z
% 2.33/2.70 Y := X
% 2.33/2.70 Z := Y
% 2.33/2.70 T := T
% 2.33/2.70 end
% 2.33/2.70
% 2.33/2.70 subsumption: (196) {G1,W12,D2,L3,V4,M3} R(2,0) { ! coll( X, Y, Z ), ! coll
% 2.33/2.70 ( X, Y, T ), coll( Z, X, T ) }.
% 2.33/2.70 parent0: (14784) {G1,W12,D2,L3,V4,M3} { coll( X, Z, Y ), ! coll( Z, T, X )
% 2.33/2.70 , ! coll( Z, T, Y ) }.
% 2.33/2.70 substitution0:
% 2.33/2.70 X := Z
% 2.33/2.70 Y := T
% 2.33/2.70 Z := X
% 2.33/2.70 T := Y
% 2.33/2.70 end
% 2.33/2.70 permutation0:
% 2.33/2.70 0 ==> 2
% 2.33/2.70 1 ==> 0
% 2.33/2.70 2 ==> 1
% 2.33/2.70 end
% 2.33/2.70
% 2.33/2.70 factor: (14786) {G1,W8,D2,L2,V3,M2} { ! coll( X, Y, Z ), coll( Z, X, Z )
% 2.33/2.70 }.
% 2.33/2.70 parent0[0, 1]: (196) {G1,W12,D2,L3,V4,M3} R(2,0) { ! coll( X, Y, Z ), !
% 2.33/2.70 coll( X, Y, T ), coll( Z, X, T ) }.
% 2.33/2.70 substitution0:
% 2.33/2.70 X := X
% 2.33/2.70 Y := Y
% 2.33/2.70 Z := Z
% 2.33/2.70 T := Z
% 2.33/2.70 end
% 2.33/2.70
% 2.33/2.70 subsumption: (204) {G2,W8,D2,L2,V3,M2} F(196) { ! coll( X, Y, Z ), coll( Z
% 2.33/2.70 , X, Z ) }.
% 2.33/2.70 parent0: (14786) {G1,W8,D2,L2,V3,M2} { ! coll( X, Y, Z ), coll( Z, X, Z )
% 2.33/2.70 }.
% 2.33/2.70 substitution0:
% 2.33/2.70 X := X
% 2.33/2.70 Y := Y
% 2.33/2.70 Z := Z
% 2.33/2.70 end
% 2.33/2.70 permutation0:
% 2.33/2.70 0 ==> 0
% 2.33/2.70 1 ==> 1
% 2.33/2.70 end
% 2.33/2.70
% 2.33/2.70 resolution: (14788) {G1,W10,D2,L2,V4,M2} { para( X, Y, T, Z ), ! para( Z,
% 2.33/2.70 T, X, Y ) }.
% 2.33/2.70 parent0[0]: (3) {G0,W10,D2,L2,V4,M2} I { ! para( X, Y, Z, T ), para( X, Y,
% 2.33/2.70 T, Z ) }.
% 2.33/2.70 parent1[1]: (4) {G0,W10,D2,L2,V4,M2} I { ! para( X, Y, Z, T ), para( Z, T,
% 2.33/2.70 X, Y ) }.
% 2.33/2.70 substitution0:
% 2.33/2.70 X := X
% 2.33/2.70 Y := Y
% 2.33/2.70 Z := Z
% 2.33/2.70 T := T
% 2.33/2.70 end
% 2.33/2.70 substitution1:
% 2.33/2.70 X := Z
% 2.33/2.70 Y := T
% 2.33/2.70 Z := X
% 2.33/2.70 T := Y
% 2.33/2.70 end
% 2.33/2.70
% 2.33/2.70 subsumption: (229) {G1,W10,D2,L2,V4,M2} R(4,3) { ! para( X, Y, Z, T ), para
% 2.33/2.70 ( Z, T, Y, X ) }.
% 2.33/2.70 parent0: (14788) {G1,W10,D2,L2,V4,M2} { para( X, Y, T, Z ), ! para( Z, T,
% 2.33/2.70 X, Y ) }.
% 2.33/2.70 substitution0:
% 2.33/2.70 X := Z
% 2.33/2.70 Y := T
% 2.33/2.70 Z := X
% 2.33/2.70 T := Y
% 2.33/2.70 end
% 2.33/2.70 permutation0:
% 2.33/2.70 0 ==> 1
% 2.33/2.70 1 ==> 0
% 2.33/2.70 end
% 2.33/2.70
% 2.33/2.70 resolution: (14789) {G1,W15,D2,L3,V6,M3} { ! para( Z, T, U, W ), para( X,
% 2.33/2.70 Y, U, W ), ! para( Z, T, X, Y ) }.
% 2.33/2.70 parent0[0]: (5) {G0,W15,D2,L3,V6,M3} I { ! para( X, Y, U, W ), ! para( U, W
% 2.33/2.70 , Z, T ), para( X, Y, Z, T ) }.
% 2.33/2.70 parent1[1]: (4) {G0,W10,D2,L2,V4,M2} I { ! para( X, Y, Z, T ), para( Z, T,
% 2.33/2.70 X, Y ) }.
% 2.33/2.70 substitution0:
% 2.33/2.70 X := X
% 2.33/2.70 Y := Y
% 2.33/2.70 Z := U
% 2.33/2.70 T := W
% 2.33/2.70 U := Z
% 2.33/2.70 W := T
% 2.33/2.70 end
% 2.33/2.70 substitution1:
% 2.33/2.70 X := Z
% 2.33/2.70 Y := T
% 2.33/2.70 Z := X
% 2.33/2.70 T := Y
% 2.33/2.70 end
% 2.33/2.70
% 2.33/2.70 subsumption: (237) {G1,W15,D2,L3,V6,M3} R(5,4) { ! para( X, Y, Z, T ), para
% 2.33/2.70 ( U, W, Z, T ), ! para( X, Y, U, W ) }.
% 2.33/2.70 parent0: (14789) {G1,W15,D2,L3,V6,M3} { ! para( Z, T, U, W ), para( X, Y,
% 2.33/2.70 U, W ), ! para( Z, T, X, Y ) }.
% 2.33/2.70 substitution0:
% 2.33/2.70 X := U
% 2.33/2.70 Y := W
% 2.33/2.70 Z := X
% 2.33/2.70 T := Y
% 2.33/2.70 U := Z
% 2.33/2.70 W := T
% 2.33/2.70 end
% 2.33/2.70 permutation0:
% 2.33/2.70 0 ==> 0
% 2.33/2.70 1 ==> 1
% 2.33/2.70 2 ==> 2
% 2.33/2.70 end
% 2.33/2.70
% 2.33/2.70 resolution: (14793) {G1,W12,D2,L3,V4,M3} { coll( Z, X, Z ), ! coll( Z, T,
% 2.33/2.70 X ), ! coll( Z, T, Y ) }.
% 2.33/2.70 parent0[0]: (204) {G2,W8,D2,L2,V3,M2} F(196) { ! coll( X, Y, Z ), coll( Z,
% 2.33/2.70 X, Z ) }.
% 2.33/2.70 parent1[2]: (2) {G0,W12,D2,L3,V4,M3} I { ! coll( X, T, Y ), ! coll( X, T, Z
% 2.33/2.70 ), coll( Y, Z, X ) }.
% 2.33/2.70 substitution0:
% 2.33/2.70 X := X
% 2.33/2.70 Y := Y
% 2.33/2.70 Z := Z
% 2.33/2.70 end
% 2.33/2.70 substitution1:
% 2.33/2.70 X := Z
% 2.33/2.70 Y := X
% 2.33/2.70 Z := Y
% 2.33/2.70 T := T
% 2.33/2.70 end
% 2.33/2.70
% 2.33/2.70 subsumption: (256) {G3,W12,D2,L3,V4,M3} R(204,2) { coll( X, Y, X ), ! coll
% 2.33/2.70 ( X, Z, Y ), ! coll( X, Z, T ) }.
% 2.33/2.70 parent0: (14793) {G1,W12,D2,L3,V4,M3} { coll( Z, X, Z ), ! coll( Z, T, X )
% 2.33/2.70 , ! coll( Z, T, Y ) }.
% 2.33/2.70 substitution0:
% 2.33/2.70 X := Y
% 2.33/2.70 Y := Y
% 2.33/2.70 Z := X
% 2.33/2.70 T := Z
% 2.33/2.70 end
% 2.33/2.70 permutation0:
% 2.33/2.70 0 ==> 0
% 2.33/2.70 1 ==> 1
% 2.33/2.70 2 ==> 1
% 2.33/2.70 end
% 2.33/2.70
% 2.33/2.70 resolution: (14795) {G1,W8,D2,L2,V3,M2} { coll( Z, X, Z ), ! coll( X, Z, Y
% 2.33/2.70 ) }.
% 2.33/2.70 parent0[0]: (204) {G2,W8,D2,L2,V3,M2} F(196) { ! coll( X, Y, Z ), coll( Z,
% 2.33/2.70 X, Z ) }.
% 2.33/2.70 parent1[1]: (0) {G0,W8,D2,L2,V3,M2} I { ! coll( X, Y, Z ), coll( X, Z, Y )
% 2.33/2.70 }.
% 2.33/2.70 substitution0:
% 2.33/2.70 X := X
% 2.33/2.70 Y := Y
% 2.33/2.70 Z := Z
% 2.33/2.70 end
% 2.33/2.70 substitution1:
% 2.33/2.70 X := X
% 2.33/2.70 Y := Z
% 2.33/2.70 Z := Y
% 2.33/2.70 end
% 2.33/2.70
% 2.33/2.70 subsumption: (264) {G3,W8,D2,L2,V3,M2} R(204,0) { coll( X, Y, X ), ! coll(
% 2.33/2.70 Y, X, Z ) }.
% 2.33/2.70 parent0: (14795) {G1,W8,D2,L2,V3,M2} { coll( Z, X, Z ), ! coll( X, Z, Y )
% 2.33/2.70 }.
% 2.33/2.70 substitution0:
% 2.33/2.70 X := Y
% 2.33/2.70 Y := Z
% 2.33/2.70 Z := X
% 2.33/2.70 end
% 2.33/2.70 permutation0:
% 2.33/2.70 0 ==> 0
% 2.33/2.70 1 ==> 1
% 2.33/2.70 end
% 2.33/2.70
% 2.33/2.70 resolution: (14796) {G1,W4,D2,L1,V0,M1} { coll( skol26, skol20, skol26 )
% 2.33/2.70 }.
% 2.33/2.70 parent0[0]: (204) {G2,W8,D2,L2,V3,M2} F(196) { ! coll( X, Y, Z ), coll( Z,
% 2.33/2.70 X, Z ) }.
% 2.33/2.70 parent1[0]: (120) {G0,W4,D2,L1,V0,M1} I { coll( skol20, skol24, skol26 )
% 2.33/2.70 }.
% 2.33/2.70 substitution0:
% 2.33/2.70 X := skol20
% 2.33/2.70 Y := skol24
% 2.33/2.70 Z := skol26
% 2.33/2.70 end
% 2.33/2.70 substitution1:
% 2.33/2.70 end
% 2.33/2.70
% 2.33/2.70 subsumption: (265) {G3,W4,D2,L1,V0,M1} R(204,120) { coll( skol26, skol20,
% 2.33/2.70 skol26 ) }.
% 2.33/2.70 parent0: (14796) {G1,W4,D2,L1,V0,M1} { coll( skol26, skol20, skol26 ) }.
% 2.33/2.70 substitution0:
% 2.33/2.70 end
% 2.33/2.70 permutation0:
% 2.33/2.70 0 ==> 0
% 2.33/2.70 end
% 2.33/2.70
% 2.33/2.70 resolution: (14797) {G1,W4,D2,L1,V0,M1} { coll( skol26, skol22, skol26 )
% 2.33/2.70 }.
% 2.33/2.70 parent0[0]: (204) {G2,W8,D2,L2,V3,M2} F(196) { ! coll( X, Y, Z ), coll( Z,
% 2.33/2.70 X, Z ) }.
% 2.33/2.70 parent1[0]: (122) {G0,W4,D2,L1,V0,M1} I { coll( skol22, skol25, skol26 )
% 2.33/2.70 }.
% 2.33/2.70 substitution0:
% 2.33/2.70 X := skol22
% 2.33/2.70 Y := skol25
% 2.33/2.70 Z := skol26
% 2.33/2.70 end
% 2.33/2.70 substitution1:
% 2.33/2.70 end
% 2.33/2.70
% 2.33/2.70 subsumption: (266) {G3,W4,D2,L1,V0,M1} R(204,122) { coll( skol26, skol22,
% 2.33/2.70 skol26 ) }.
% 2.33/2.70 parent0: (14797) {G1,W4,D2,L1,V0,M1} { coll( skol26, skol22, skol26 ) }.
% 2.33/2.70 substitution0:
% 2.33/2.70 end
% 2.33/2.70 permutation0:
% 2.33/2.70 0 ==> 0
% 2.33/2.70 end
% 2.33/2.70
% 2.33/2.70 resolution: (14798) {G1,W4,D2,L1,V0,M1} { coll( skol27, skol23, skol27 )
% 2.33/2.70 }.
% 2.33/2.70 parent0[0]: (204) {G2,W8,D2,L2,V3,M2} F(196) { ! coll( X, Y, Z ), coll( Z,
% 2.33/2.70 X, Z ) }.
% 2.33/2.70 parent1[0]: (124) {G0,W4,D2,L1,V0,M1} I { coll( skol23, skol24, skol27 )
% 2.33/2.70 }.
% 2.33/2.70 substitution0:
% 2.33/2.70 X := skol23
% 2.33/2.70 Y := skol24
% 2.33/2.70 Z := skol27
% 2.33/2.70 end
% 2.33/2.70 substitution1:
% 2.33/2.70 end
% 2.33/2.70
% 2.33/2.70 subsumption: (267) {G3,W4,D2,L1,V0,M1} R(204,124) { coll( skol27, skol23,
% 2.33/2.70 skol27 ) }.
% 2.33/2.70 parent0: (14798) {G1,W4,D2,L1,V0,M1} { coll( skol27, skol23, skol27 ) }.
% 2.33/2.70 substitution0:
% 2.33/2.70 end
% 2.33/2.70 permutation0:
% 2.33/2.70 0 ==> 0
% 2.33/2.70 end
% 2.33/2.70
% 2.33/2.70 factor: (14799) {G3,W8,D2,L2,V3,M2} { coll( X, Y, X ), ! coll( X, Z, Y )
% 2.33/2.70 }.
% 2.33/2.70 parent0[1, 2]: (256) {G3,W12,D2,L3,V4,M3} R(204,2) { coll( X, Y, X ), !
% 2.33/2.70 coll( X, Z, Y ), ! coll( X, Z, T ) }.
% 2.33/2.70 substitution0:
% 2.33/2.70 X := X
% 2.33/2.70 Y := Y
% 2.33/2.70 Z := Z
% 2.33/2.70 T := Y
% 2.33/2.70 end
% 2.33/2.70
% 2.33/2.70 subsumption: (268) {G4,W8,D2,L2,V3,M2} F(256) { coll( X, Y, X ), ! coll( X
% 2.33/2.70 , Z, Y ) }.
% 2.33/2.70 parent0: (14799) {G3,W8,D2,L2,V3,M2} { coll( X, Y, X ), ! coll( X, Z, Y )
% 2.33/2.70 }.
% 2.33/2.70 substitution0:
% 2.33/2.70 X := X
% 2.33/2.70 Y := Y
% 2.33/2.70 Z := Z
% 2.33/2.70 end
% 2.33/2.70 permutation0:
% 2.33/2.70 0 ==> 0
% 2.33/2.70 1 ==> 1
% 2.33/2.70 end
% 2.33/2.70
% 2.33/2.70 resolution: (14800) {G1,W5,D2,L1,V0,M1} { perp( skol20, skol27, skol26,
% 2.33/2.70 skol24 ) }.
% 2.33/2.70 parent0[0]: (6) {G0,W10,D2,L2,V4,M2} I { ! perp( X, Y, Z, T ), perp( X, Y,
% 2.33/2.70 T, Z ) }.
% 2.33/2.70 parent1[0]: (119) {G0,W5,D2,L1,V0,M1} I { perp( skol20, skol27, skol24,
% 2.33/2.70 skol26 ) }.
% 2.33/2.70 substitution0:
% 2.33/2.70 X := skol20
% 2.33/2.70 Y := skol27
% 2.33/2.70 Z := skol24
% 2.33/2.70 T := skol26
% 2.33/2.70 end
% 2.33/2.70 substitution1:
% 2.33/2.70 end
% 2.33/2.70
% 2.33/2.70 subsumption: (273) {G1,W5,D2,L1,V0,M1} R(6,119) { perp( skol20, skol27,
% 2.33/2.70 skol26, skol24 ) }.
% 2.33/2.70 parent0: (14800) {G1,W5,D2,L1,V0,M1} { perp( skol20, skol27, skol26,
% 2.33/2.70 skol24 ) }.
% 2.33/2.70 substitution0:
% 2.33/2.70 end
% 2.33/2.70 permutation0:
% 2.33/2.70 0 ==> 0
% 2.33/2.70 end
% 2.33/2.70
% 2.33/2.70 resolution: (14802) {G1,W15,D2,L3,V6,M3} { ! perp( X, Y, Z, T ), para( X,
% 2.33/2.70 Y, U, W ), ! perp( U, W, Z, T ) }.
% 2.33/2.70 parent0[1]: (8) {G0,W15,D2,L3,V6,M3} I { ! perp( X, Y, U, W ), ! perp( U, W
% 2.33/2.70 , Z, T ), para( X, Y, Z, T ) }.
% 2.33/2.70 parent1[1]: (7) {G0,W10,D2,L2,V4,M2} I { ! perp( X, Y, Z, T ), perp( Z, T,
% 2.33/2.70 X, Y ) }.
% 2.33/2.70 substitution0:
% 2.33/2.70 X := X
% 2.33/2.70 Y := Y
% 2.33/2.70 Z := U
% 2.33/2.70 T := W
% 2.33/2.70 U := Z
% 2.33/2.70 W := T
% 2.33/2.70 end
% 2.33/2.70 substitution1:
% 2.33/2.70 X := U
% 2.33/2.70 Y := W
% 2.33/2.70 Z := Z
% 2.33/2.70 T := T
% 2.33/2.70 end
% 2.33/2.70
% 2.33/2.70 subsumption: (295) {G1,W15,D2,L3,V6,M3} R(8,7) { ! perp( X, Y, Z, T ), para
% 2.33/2.70 ( X, Y, U, W ), ! perp( U, W, Z, T ) }.
% 2.33/2.70 parent0: (14802) {G1,W15,D2,L3,V6,M3} { ! perp( X, Y, Z, T ), para( X, Y,
% 2.33/2.70 U, W ), ! perp( U, W, Z, T ) }.
% 2.33/2.70 substitution0:
% 2.33/2.70 X := X
% 2.33/2.70 Y := Y
% 2.33/2.70 Z := Z
% 2.33/2.70 T := T
% 2.33/2.70 U := U
% 2.33/2.70 W := W
% 2.33/2.70 end
% 2.33/2.70 permutation0:
% 2.33/2.70 0 ==> 0
% 2.33/2.70 1 ==> 1
% 2.33/2.70 2 ==> 2
% 2.33/2.70 end
% 2.33/2.70
% 2.33/2.70 resolution: (14805) {G1,W4,D2,L1,V0,M1} { coll( skol20, skol26, skol26 )
% 2.33/2.70 }.
% 2.33/2.70 parent0[0]: (1) {G0,W8,D2,L2,V3,M2} I { ! coll( X, Y, Z ), coll( Y, X, Z )
% 2.33/2.70 }.
% 2.33/2.70 parent1[0]: (265) {G3,W4,D2,L1,V0,M1} R(204,120) { coll( skol26, skol20,
% 2.33/2.70 skol26 ) }.
% 2.33/2.70 substitution0:
% 2.33/2.70 X := skol26
% 2.33/2.70 Y := skol20
% 2.33/2.70 Z := skol26
% 2.33/2.70 end
% 2.33/2.70 substitution1:
% 2.33/2.70 end
% 2.33/2.70
% 2.33/2.70 subsumption: (431) {G4,W4,D2,L1,V0,M1} R(265,1) { coll( skol20, skol26,
% 2.33/2.70 skol26 ) }.
% 2.33/2.70 parent0: (14805) {G1,W4,D2,L1,V0,M1} { coll( skol20, skol26, skol26 ) }.
% 2.33/2.70 substitution0:
% 2.33/2.70 end
% 2.33/2.70 permutation0:
% 2.33/2.70 0 ==> 0
% 2.33/2.70 end
% 2.33/2.70
% 2.33/2.70 resolution: (14806) {G1,W4,D2,L1,V0,M1} { coll( skol26, skol26, skol22 )
% 2.33/2.70 }.
% 2.33/2.70 parent0[0]: (0) {G0,W8,D2,L2,V3,M2} I { ! coll( X, Y, Z ), coll( X, Z, Y )
% 2.33/2.70 }.
% 2.33/2.70 parent1[0]: (266) {G3,W4,D2,L1,V0,M1} R(204,122) { coll( skol26, skol22,
% 2.33/2.70 skol26 ) }.
% 2.33/2.70 substitution0:
% 2.33/2.70 X := skol26
% 2.33/2.70 Y := skol22
% 2.33/2.70 Z := skol26
% 2.33/2.70 end
% 2.33/2.70 substitution1:
% 2.33/2.70 end
% 2.33/2.70
% 2.33/2.70 subsumption: (441) {G4,W4,D2,L1,V0,M1} R(266,0) { coll( skol26, skol26,
% 2.33/2.70 skol22 ) }.
% 2.33/2.70 parent0: (14806) {G1,W4,D2,L1,V0,M1} { coll( skol26, skol26, skol22 ) }.
% 2.33/2.70 substitution0:
% 2.33/2.70 end
% 2.33/2.70 permutation0:
% 2.33/2.70 0 ==> 0
% 2.33/2.70 end
% 2.33/2.70
% 2.33/2.70 resolution: (14807) {G1,W4,D2,L1,V0,M1} { coll( skol27, skol27, skol23 )
% 2.33/2.70 }.
% 2.33/2.70 parent0[0]: (0) {G0,W8,D2,L2,V3,M2} I { ! coll( X, Y, Z ), coll( X, Z, Y )
% 2.33/2.70 }.
% 2.33/2.70 parent1[0]: (267) {G3,W4,D2,L1,V0,M1} R(204,124) { coll( skol27, skol23,
% 2.33/2.70 skol27 ) }.
% 2.33/2.70 substitution0:
% 2.33/2.70 X := skol27
% 2.33/2.70 Y := skol23
% 2.33/2.70 Z := skol27
% 2.33/2.70 end
% 2.33/2.70 substitution1:
% 2.33/2.70 end
% 2.33/2.70
% 2.33/2.70 subsumption: (450) {G4,W4,D2,L1,V0,M1} R(267,0) { coll( skol27, skol27,
% 2.33/2.70 skol23 ) }.
% 2.33/2.70 parent0: (14807) {G1,W4,D2,L1,V0,M1} { coll( skol27, skol27, skol23 ) }.
% 2.33/2.70 substitution0:
% 2.33/2.70 end
% 2.33/2.70 permutation0:
% 2.33/2.70 0 ==> 0
% 2.33/2.70 end
% 2.33/2.70
% 2.33/2.70 resolution: (14808) {G1,W8,D2,L2,V1,M2} { ! coll( skol27, skol27, X ),
% 2.33/2.70 coll( skol23, X, skol27 ) }.
% 2.33/2.70 parent0[0]: (2) {G0,W12,D2,L3,V4,M3} I { ! coll( X, T, Y ), ! coll( X, T, Z
% 2.33/2.70 ), coll( Y, Z, X ) }.
% 2.33/2.70 parent1[0]: (450) {G4,W4,D2,L1,V0,M1} R(267,0) { coll( skol27, skol27,
% 2.33/2.70 skol23 ) }.
% 2.33/2.70 substitution0:
% 2.33/2.70 X := skol27
% 2.33/2.70 Y := skol23
% 2.33/2.70 Z := X
% 2.33/2.70 T := skol27
% 2.33/2.70 end
% 2.33/2.70 substitution1:
% 2.33/2.70 end
% 2.33/2.70
% 2.33/2.70 subsumption: (452) {G5,W8,D2,L2,V1,M2} R(450,2) { ! coll( skol27, skol27, X
% 2.33/2.70 ), coll( skol23, X, skol27 ) }.
% 2.33/2.70 parent0: (14808) {G1,W8,D2,L2,V1,M2} { ! coll( skol27, skol27, X ), coll(
% 2.33/2.70 skol23, X, skol27 ) }.
% 2.33/2.70 substitution0:
% 2.33/2.70 X := X
% 2.33/2.70 end
% 2.33/2.70 permutation0:
% 2.33/2.70 0 ==> 0
% 2.33/2.70 1 ==> 1
% 2.33/2.70 end
% 2.33/2.70
% 2.33/2.70 resolution: (14811) {G1,W8,D2,L2,V3,M2} { coll( Y, X, X ), ! coll( X, Z, Y
% 2.33/2.70 ) }.
% 2.33/2.70 parent0[0]: (1) {G0,W8,D2,L2,V3,M2} I { ! coll( X, Y, Z ), coll( Y, X, Z )
% 2.33/2.70 }.
% 2.33/2.70 parent1[0]: (268) {G4,W8,D2,L2,V3,M2} F(256) { coll( X, Y, X ), ! coll( X,
% 2.33/2.70 Z, Y ) }.
% 2.33/2.70 substitution0:
% 2.33/2.70 X := X
% 2.33/2.70 Y := Y
% 2.33/2.70 Z := X
% 2.33/2.70 end
% 2.33/2.70 substitution1:
% 2.33/2.70 X := X
% 2.33/2.70 Y := Y
% 2.33/2.70 Z := Z
% 2.33/2.70 end
% 2.33/2.70
% 2.33/2.70 subsumption: (586) {G5,W8,D2,L2,V3,M2} R(268,1) { ! coll( X, Y, Z ), coll(
% 2.33/2.70 Z, X, X ) }.
% 2.33/2.70 parent0: (14811) {G1,W8,D2,L2,V3,M2} { coll( Y, X, X ), ! coll( X, Z, Y )
% 2.33/2.70 }.
% 2.33/2.70 substitution0:
% 2.33/2.70 X := X
% 2.33/2.70 Y := Z
% 2.33/2.70 Z := Y
% 2.33/2.70 end
% 2.33/2.70 permutation0:
% 2.33/2.70 0 ==> 1
% 2.33/2.70 1 ==> 0
% 2.33/2.70 end
% 2.33/2.70
% 2.33/2.70 resolution: (14812) {G1,W8,D2,L2,V3,M2} { coll( Z, X, X ), ! coll( X, Z, Y
% 2.33/2.70 ) }.
% 2.33/2.70 parent0[0]: (586) {G5,W8,D2,L2,V3,M2} R(268,1) { ! coll( X, Y, Z ), coll( Z
% 2.33/2.70 , X, X ) }.
% 2.33/2.70 parent1[1]: (0) {G0,W8,D2,L2,V3,M2} I { ! coll( X, Y, Z ), coll( X, Z, Y )
% 2.33/2.70 }.
% 2.33/2.70 substitution0:
% 2.33/2.70 X := X
% 2.33/2.70 Y := Y
% 2.33/2.70 Z := Z
% 2.33/2.70 end
% 2.33/2.70 substitution1:
% 2.33/2.70 X := X
% 2.33/2.70 Y := Z
% 2.33/2.70 Z := Y
% 2.33/2.70 end
% 2.33/2.70
% 2.33/2.70 subsumption: (592) {G6,W8,D2,L2,V3,M2} R(586,0) { coll( X, Y, Y ), ! coll(
% 2.33/2.70 Y, X, Z ) }.
% 2.33/2.70 parent0: (14812) {G1,W8,D2,L2,V3,M2} { coll( Z, X, X ), ! coll( X, Z, Y )
% 2.33/2.70 }.
% 2.33/2.70 substitution0:
% 2.33/2.70 X := Y
% 2.33/2.70 Y := Z
% 2.33/2.70 Z := X
% 2.33/2.70 end
% 2.33/2.70 permutation0:
% 2.33/2.70 0 ==> 0
% 2.33/2.70 1 ==> 1
% 2.33/2.70 end
% 2.33/2.70
% 2.33/2.70 resolution: (14813) {G7,W8,D2,L2,V3,M2} { coll( X, Y, Y ), ! coll( X, Y, Z
% 2.33/2.70 ) }.
% 2.33/2.70 parent0[1]: (592) {G6,W8,D2,L2,V3,M2} R(586,0) { coll( X, Y, Y ), ! coll( Y
% 2.33/2.70 , X, Z ) }.
% 2.33/2.70 parent1[0]: (592) {G6,W8,D2,L2,V3,M2} R(586,0) { coll( X, Y, Y ), ! coll( Y
% 2.33/2.70 , X, Z ) }.
% 2.33/2.70 substitution0:
% 2.33/2.70 X := X
% 2.33/2.70 Y := Y
% 2.33/2.70 Z := X
% 2.33/2.70 end
% 2.33/2.70 substitution1:
% 2.33/2.70 X := Y
% 2.33/2.70 Y := X
% 2.33/2.70 Z := Z
% 2.33/2.70 end
% 2.33/2.70
% 2.33/2.70 subsumption: (599) {G7,W8,D2,L2,V3,M2} R(592,592) { ! coll( X, Y, Z ), coll
% 2.33/2.70 ( X, Y, Y ) }.
% 2.33/2.70 parent0: (14813) {G7,W8,D2,L2,V3,M2} { coll( X, Y, Y ), ! coll( X, Y, Z )
% 2.33/2.70 }.
% 2.33/2.70 substitution0:
% 2.33/2.70 X := X
% 2.33/2.70 Y := Y
% 2.33/2.70 Z := Z
% 2.33/2.70 end
% 2.33/2.70 permutation0:
% 2.33/2.70 0 ==> 1
% 2.33/2.70 1 ==> 0
% 2.33/2.70 end
% 2.33/2.70
% 2.33/2.70 resolution: (14817) {G1,W12,D2,L3,V4,M3} { ! coll( X, Y, Z ), coll( Z, Y,
% 2.33/2.70 X ), ! coll( X, Y, T ) }.
% 2.33/2.70 parent0[1]: (2) {G0,W12,D2,L3,V4,M3} I { ! coll( X, T, Y ), ! coll( X, T, Z
% 2.33/2.70 ), coll( Y, Z, X ) }.
% 2.33/2.70 parent1[1]: (599) {G7,W8,D2,L2,V3,M2} R(592,592) { ! coll( X, Y, Z ), coll
% 2.33/2.70 ( X, Y, Y ) }.
% 2.33/2.70 substitution0:
% 2.33/2.70 X := X
% 2.33/2.70 Y := Z
% 2.33/2.70 Z := Y
% 2.33/2.70 T := Y
% 2.33/2.70 end
% 2.33/2.70 substitution1:
% 2.33/2.70 X := X
% 2.33/2.70 Y := Y
% 2.33/2.70 Z := T
% 2.33/2.70 end
% 2.33/2.70
% 2.33/2.70 subsumption: (602) {G8,W12,D2,L3,V4,M3} R(599,2) { ! coll( X, Y, Z ), !
% 2.33/2.70 coll( X, Y, T ), coll( T, Y, X ) }.
% 2.33/2.70 parent0: (14817) {G1,W12,D2,L3,V4,M3} { ! coll( X, Y, Z ), coll( Z, Y, X )
% 2.33/2.70 , ! coll( X, Y, T ) }.
% 2.33/2.70 substitution0:
% 2.33/2.70 X := X
% 2.33/2.70 Y := Y
% 2.33/2.70 Z := T
% 2.33/2.70 T := Z
% 2.33/2.70 end
% 2.33/2.70 permutation0:
% 2.33/2.70 0 ==> 1
% 2.33/2.70 1 ==> 2
% 2.33/2.70 2 ==> 0
% 2.33/2.70 end
% 2.33/2.70
% 2.33/2.70 factor: (14820) {G8,W8,D2,L2,V3,M2} { ! coll( X, Y, Z ), coll( Z, Y, X )
% 2.33/2.70 }.
% 2.33/2.70 parent0[0, 1]: (602) {G8,W12,D2,L3,V4,M3} R(599,2) { ! coll( X, Y, Z ), !
% 2.33/2.70 coll( X, Y, T ), coll( T, Y, X ) }.
% 2.33/2.70 substitution0:
% 2.33/2.70 X := X
% 2.33/2.70 Y := Y
% 2.33/2.70 Z := Z
% 2.33/2.70 T := Z
% 2.33/2.70 end
% 2.33/2.70
% 2.33/2.70 subsumption: (603) {G9,W8,D2,L2,V3,M2} F(602) { ! coll( X, Y, Z ), coll( Z
% 2.33/2.70 , Y, X ) }.
% 2.33/2.70 parent0: (14820) {G8,W8,D2,L2,V3,M2} { ! coll( X, Y, Z ), coll( Z, Y, X )
% 2.33/2.70 }.
% 2.33/2.70 substitution0:
% 2.33/2.70 X := X
% 2.33/2.70 Y := Y
% 2.33/2.70 Z := Z
% 2.33/2.70 end
% 2.33/2.70 permutation0:
% 2.33/2.70 0 ==> 0
% 2.33/2.70 1 ==> 1
% 2.33/2.70 end
% 2.33/2.70
% 2.33/2.70 resolution: (14821) {G7,W8,D2,L2,V3,M2} { coll( Y, Y, X ), ! coll( Y, X, Z
% 2.33/2.70 ) }.
% 2.33/2.70 parent0[0]: (603) {G9,W8,D2,L2,V3,M2} F(602) { ! coll( X, Y, Z ), coll( Z,
% 2.33/2.70 Y, X ) }.
% 2.33/2.70 parent1[0]: (592) {G6,W8,D2,L2,V3,M2} R(586,0) { coll( X, Y, Y ), ! coll( Y
% 2.33/2.70 , X, Z ) }.
% 2.33/2.70 substitution0:
% 2.33/2.70 X := X
% 2.33/2.70 Y := Y
% 2.33/2.70 Z := Y
% 2.33/2.70 end
% 2.33/2.70 substitution1:
% 2.33/2.70 X := X
% 2.33/2.70 Y := Y
% 2.33/2.70 Z := Z
% 2.33/2.70 end
% 2.33/2.70
% 2.33/2.70 subsumption: (605) {G10,W8,D2,L2,V3,M2} R(603,592) { coll( X, X, Y ), !
% 2.33/2.70 coll( X, Y, Z ) }.
% 2.33/2.70 parent0: (14821) {G7,W8,D2,L2,V3,M2} { coll( Y, Y, X ), ! coll( Y, X, Z )
% 2.33/2.70 }.
% 2.33/2.70 substitution0:
% 2.33/2.70 X := Y
% 2.33/2.70 Y := X
% 2.33/2.70 Z := Z
% 2.33/2.70 end
% 2.33/2.70 permutation0:
% 2.33/2.70 0 ==> 0
% 2.33/2.70 1 ==> 1
% 2.33/2.70 end
% 2.33/2.70
% 2.33/2.70 resolution: (14822) {G2,W8,D2,L2,V2,M2} { coll( skol23, X, skol27 ), !
% 2.33/2.70 coll( X, Y, skol27 ) }.
% 2.33/2.70 parent0[0]: (452) {G5,W8,D2,L2,V1,M2} R(450,2) { ! coll( skol27, skol27, X
% 2.33/2.70 ), coll( skol23, X, skol27 ) }.
% 2.33/2.70 parent1[1]: (126) {G1,W8,D2,L2,V3,M2} F(2) { ! coll( X, Y, Z ), coll( Z, Z
% 2.33/2.70 , X ) }.
% 2.33/2.70 substitution0:
% 2.33/2.70 X := X
% 2.33/2.70 end
% 2.33/2.70 substitution1:
% 2.33/2.70 X := X
% 2.33/2.70 Y := Y
% 2.33/2.70 Z := skol27
% 2.33/2.70 end
% 2.33/2.70
% 2.33/2.70 subsumption: (766) {G6,W8,D2,L2,V2,M2} R(452,126) { coll( skol23, X, skol27
% 2.33/2.70 ), ! coll( X, Y, skol27 ) }.
% 2.33/2.70 parent0: (14822) {G2,W8,D2,L2,V2,M2} { coll( skol23, X, skol27 ), ! coll(
% 2.33/2.70 X, Y, skol27 ) }.
% 2.33/2.70 substitution0:
% 2.33/2.70 X := X
% 2.33/2.70 Y := Y
% 2.33/2.70 end
% 2.33/2.70 permutation0:
% 2.33/2.70 0 ==> 0
% 2.33/2.70 1 ==> 1
% 2.33/2.70 end
% 2.33/2.70
% 2.33/2.70 resolution: (14824) {G2,W8,D2,L2,V2,M2} { coll( X, skol27, skol23 ), !
% 2.33/2.70 coll( X, Y, skol27 ) }.
% 2.33/2.70 parent0[0]: (172) {G1,W8,D2,L2,V3,M2} R(1,0) { ! coll( X, Y, Z ), coll( Y,
% 2.33/2.70 Z, X ) }.
% 2.33/2.70 parent1[0]: (766) {G6,W8,D2,L2,V2,M2} R(452,126) { coll( skol23, X, skol27
% 2.33/2.70 ), ! coll( X, Y, skol27 ) }.
% 2.33/2.70 substitution0:
% 2.33/2.70 X := skol23
% 2.33/2.70 Y := X
% 2.33/2.70 Z := skol27
% 2.33/2.70 end
% 2.33/2.70 substitution1:
% 2.33/2.70 X := X
% 2.33/2.70 Y := Y
% 2.33/2.70 end
% 2.33/2.70
% 2.33/2.70 subsumption: (794) {G7,W8,D2,L2,V2,M2} R(766,172) { ! coll( X, Y, skol27 )
% 2.33/2.70 , coll( X, skol27, skol23 ) }.
% 2.33/2.70 parent0: (14824) {G2,W8,D2,L2,V2,M2} { coll( X, skol27, skol23 ), ! coll(
% 2.33/2.70 X, Y, skol27 ) }.
% 2.33/2.70 substitution0:
% 2.33/2.70 X := X
% 2.33/2.70 Y := Y
% 2.33/2.70 end
% 2.33/2.70 permutation0:
% 2.33/2.70 0 ==> 1
% 2.33/2.70 1 ==> 0
% 2.33/2.70 end
% 2.33/2.70
% 2.33/2.70 resolution: (14825) {G2,W8,D2,L2,V2,M2} { coll( X, skol27, skol23 ), !
% 2.33/2.70 coll( skol27, Y, X ) }.
% 2.33/2.70 parent0[0]: (794) {G7,W8,D2,L2,V2,M2} R(766,172) { ! coll( X, Y, skol27 ),
% 2.33/2.70 coll( X, skol27, skol23 ) }.
% 2.33/2.70 parent1[1]: (126) {G1,W8,D2,L2,V3,M2} F(2) { ! coll( X, Y, Z ), coll( Z, Z
% 2.33/2.70 , X ) }.
% 2.33/2.70 substitution0:
% 2.33/2.70 X := X
% 2.33/2.70 Y := X
% 2.33/2.70 end
% 2.33/2.70 substitution1:
% 2.33/2.70 X := skol27
% 2.33/2.70 Y := Y
% 2.33/2.70 Z := X
% 2.33/2.70 end
% 2.33/2.70
% 2.33/2.70 subsumption: (807) {G8,W8,D2,L2,V2,M2} R(794,126) { coll( X, skol27, skol23
% 2.33/2.70 ), ! coll( skol27, Y, X ) }.
% 2.33/2.70 parent0: (14825) {G2,W8,D2,L2,V2,M2} { coll( X, skol27, skol23 ), ! coll(
% 2.33/2.70 skol27, Y, X ) }.
% 2.33/2.70 substitution0:
% 2.33/2.70 X := X
% 2.33/2.70 Y := Y
% 2.33/2.70 end
% 2.33/2.70 permutation0:
% 2.33/2.70 0 ==> 0
% 2.33/2.70 1 ==> 1
% 2.33/2.70 end
% 2.33/2.70
% 2.33/2.70 resolution: (14827) {G2,W8,D2,L2,V2,M2} { coll( skol23, skol23, X ), !
% 2.33/2.70 coll( skol27, Y, X ) }.
% 2.33/2.70 parent0[0]: (126) {G1,W8,D2,L2,V3,M2} F(2) { ! coll( X, Y, Z ), coll( Z, Z
% 2.33/2.70 , X ) }.
% 2.33/2.70 parent1[0]: (807) {G8,W8,D2,L2,V2,M2} R(794,126) { coll( X, skol27, skol23
% 2.33/2.70 ), ! coll( skol27, Y, X ) }.
% 2.33/2.70 substitution0:
% 2.33/2.70 X := X
% 2.33/2.70 Y := skol27
% 2.33/2.70 Z := skol23
% 2.33/2.70 end
% 2.33/2.70 substitution1:
% 2.33/2.70 X := X
% 2.33/2.70 Y := Y
% 2.33/2.70 end
% 2.33/2.70
% 2.33/2.70 subsumption: (841) {G9,W8,D2,L2,V2,M2} R(807,126) { ! coll( skol27, X, Y )
% 2.33/2.70 , coll( skol23, skol23, Y ) }.
% 2.33/2.70 parent0: (14827) {G2,W8,D2,L2,V2,M2} { coll( skol23, skol23, X ), ! coll(
% 2.33/2.70 skol27, Y, X ) }.
% 2.33/2.70 substitution0:
% 2.33/2.70 X := Y
% 2.33/2.70 Y := X
% 2.33/2.70 end
% 2.33/2.70 permutation0:
% 2.33/2.70 0 ==> 1
% 2.33/2.70 1 ==> 0
% 2.33/2.70 end
% 2.33/2.70
% 2.33/2.70 resolution: (14828) {G2,W8,D2,L2,V2,M2} { coll( skol23, skol23, Y ), !
% 2.33/2.70 coll( Y, skol27, X ) }.
% 2.33/2.70 parent0[0]: (841) {G9,W8,D2,L2,V2,M2} R(807,126) { ! coll( skol27, X, Y ),
% 2.33/2.70 coll( skol23, skol23, Y ) }.
% 2.33/2.70 parent1[1]: (172) {G1,W8,D2,L2,V3,M2} R(1,0) { ! coll( X, Y, Z ), coll( Y,
% 2.33/2.70 Z, X ) }.
% 2.33/2.70 substitution0:
% 2.33/2.70 X := X
% 2.33/2.70 Y := Y
% 2.33/2.70 end
% 2.33/2.70 substitution1:
% 2.33/2.70 X := Y
% 2.33/2.70 Y := skol27
% 2.33/2.70 Z := X
% 2.33/2.70 end
% 2.33/2.70
% 2.33/2.70 subsumption: (859) {G10,W8,D2,L2,V2,M2} R(841,172) { coll( skol23, skol23,
% 2.33/2.70 X ), ! coll( X, skol27, Y ) }.
% 2.33/2.70 parent0: (14828) {G2,W8,D2,L2,V2,M2} { coll( skol23, skol23, Y ), ! coll(
% 2.33/2.70 Y, skol27, X ) }.
% 2.33/2.70 substitution0:
% 2.33/2.70 X := Y
% 2.33/2.70 Y := X
% 2.33/2.70 end
% 2.33/2.70 permutation0:
% 2.33/2.70 0 ==> 0
% 2.33/2.70 1 ==> 1
% 2.33/2.70 end
% 2.33/2.70
% 2.33/2.70 resolution: (14830) {G2,W8,D2,L2,V2,M2} { coll( X, X, skol23 ), ! coll( X
% 2.33/2.70 , skol27, Y ) }.
% 2.33/2.70 parent0[0]: (126) {G1,W8,D2,L2,V3,M2} F(2) { ! coll( X, Y, Z ), coll( Z, Z
% 2.33/2.70 , X ) }.
% 2.33/2.70 parent1[0]: (859) {G10,W8,D2,L2,V2,M2} R(841,172) { coll( skol23, skol23, X
% 2.33/2.70 ), ! coll( X, skol27, Y ) }.
% 2.33/2.70 substitution0:
% 2.33/2.70 X := skol23
% 2.33/2.70 Y := skol23
% 2.33/2.70 Z := X
% 2.33/2.70 end
% 2.33/2.70 substitution1:
% 2.33/2.70 X := X
% 2.33/2.70 Y := Y
% 2.33/2.70 end
% 2.33/2.70
% 2.33/2.70 subsumption: (1244) {G11,W8,D2,L2,V2,M2} R(859,126) { ! coll( X, skol27, Y
% 2.33/2.70 ), coll( X, X, skol23 ) }.
% 2.33/2.70 parent0: (14830) {G2,W8,D2,L2,V2,M2} { coll( X, X, skol23 ), ! coll( X,
% 2.33/2.70 skol27, Y ) }.
% 2.33/2.70 substitution0:
% 2.33/2.70 X := X
% 2.33/2.70 Y := Y
% 2.33/2.70 end
% 2.33/2.70 permutation0:
% 2.33/2.70 0 ==> 1
% 2.33/2.70 1 ==> 0
% 2.33/2.70 end
% 2.33/2.70
% 2.33/2.70 resolution: (14831) {G4,W8,D2,L2,V2,M2} { coll( X, X, skol23 ), ! coll(
% 2.33/2.70 skol27, X, Y ) }.
% 2.33/2.70 parent0[0]: (1244) {G11,W8,D2,L2,V2,M2} R(859,126) { ! coll( X, skol27, Y )
% 2.33/2.70 , coll( X, X, skol23 ) }.
% 2.33/2.70 parent1[0]: (264) {G3,W8,D2,L2,V3,M2} R(204,0) { coll( X, Y, X ), ! coll( Y
% 2.33/2.70 , X, Z ) }.
% 2.33/2.70 substitution0:
% 2.33/2.70 X := X
% 2.33/2.70 Y := X
% 2.33/2.70 end
% 2.33/2.70 substitution1:
% 2.33/2.70 X := X
% 2.33/2.70 Y := skol27
% 2.33/2.70 Z := Y
% 2.33/2.70 end
% 2.33/2.70
% 2.33/2.70 subsumption: (1253) {G12,W8,D2,L2,V2,M2} R(1244,264) { coll( X, X, skol23 )
% 2.33/2.70 , ! coll( skol27, X, Y ) }.
% 2.33/2.70 parent0: (14831) {G4,W8,D2,L2,V2,M2} { coll( X, X, skol23 ), ! coll(
% 2.33/2.70 skol27, X, Y ) }.
% 2.33/2.70 substitution0:
% 2.33/2.70 X := X
% 2.33/2.70 Y := Y
% 2.33/2.70 end
% 2.33/2.70 permutation0:
% 2.33/2.70 0 ==> 0
% 2.33/2.70 1 ==> 1
% 2.33/2.70 end
% 2.33/2.70
% 2.33/2.70 resolution: (14832) {G2,W12,D2,L3,V2,M3} { coll( X, skol22, skol26 ), !
% 2.33/2.70 coll( X, Y, skol26 ), ! coll( X, Y, skol26 ) }.
% 2.33/2.70 parent0[0]: (180) {G1,W16,D2,L4,V5,M4} R(2,2) { ! coll( X, Y, Z ), coll( T
% 2.33/2.70 , Z, X ), ! coll( T, U, X ), ! coll( T, U, Y ) }.
% 2.33/2.70 parent1[0]: (441) {G4,W4,D2,L1,V0,M1} R(266,0) { coll( skol26, skol26,
% 2.33/2.70 skol22 ) }.
% 2.33/2.70 substitution0:
% 2.33/2.70 X := skol26
% 2.33/2.70 Y := skol26
% 2.33/2.70 Z := skol22
% 2.33/2.70 T := X
% 2.33/2.70 U := Y
% 2.33/2.70 end
% 2.33/2.70 substitution1:
% 2.33/2.70 end
% 2.33/2.70
% 2.33/2.70 factor: (14835) {G2,W8,D2,L2,V2,M2} { coll( X, skol22, skol26 ), ! coll( X
% 2.33/2.70 , Y, skol26 ) }.
% 2.33/2.70 parent0[1, 2]: (14832) {G2,W12,D2,L3,V2,M3} { coll( X, skol22, skol26 ), !
% 2.33/2.70 coll( X, Y, skol26 ), ! coll( X, Y, skol26 ) }.
% 2.33/2.70 substitution0:
% 2.33/2.70 X := X
% 2.33/2.70 Y := Y
% 2.33/2.70 end
% 2.33/2.70
% 2.33/2.70 subsumption: (8612) {G5,W8,D2,L2,V2,M2} R(180,441);f { coll( X, skol22,
% 2.33/2.70 skol26 ), ! coll( X, Y, skol26 ) }.
% 2.33/2.70 parent0: (14835) {G2,W8,D2,L2,V2,M2} { coll( X, skol22, skol26 ), ! coll(
% 2.33/2.70 X, Y, skol26 ) }.
% 2.33/2.70 substitution0:
% 2.33/2.70 X := X
% 2.33/2.70 Y := Y
% 2.33/2.70 end
% 2.33/2.70 permutation0:
% 2.33/2.70 0 ==> 0
% 2.33/2.70 1 ==> 1
% 2.33/2.70 end
% 2.33/2.70
% 2.33/2.70 resolution: (14836) {G5,W4,D2,L1,V0,M1} { coll( skol20, skol22, skol26 )
% 2.33/2.70 }.
% 2.33/2.70 parent0[1]: (8612) {G5,W8,D2,L2,V2,M2} R(180,441);f { coll( X, skol22,
% 2.33/2.70 skol26 ), ! coll( X, Y, skol26 ) }.
% 2.33/2.70 parent1[0]: (431) {G4,W4,D2,L1,V0,M1} R(265,1) { coll( skol20, skol26,
% 2.33/2.70 skol26 ) }.
% 2.33/2.70 substitution0:
% 2.33/2.70 X := skol20
% 2.33/2.70 Y := skol26
% 2.33/2.70 end
% 2.33/2.70 substitution1:
% 2.33/2.70 end
% 2.33/2.70
% 2.33/2.70 subsumption: (8771) {G6,W4,D2,L1,V0,M1} R(8612,431) { coll( skol20, skol22
% 2.33/2.70 , skol26 ) }.
% 2.33/2.70 parent0: (14836) {G5,W4,D2,L1,V0,M1} { coll( skol20, skol22, skol26 ) }.
% 2.33/2.70 substitution0:
% 2.33/2.70 end
% 2.33/2.70 permutation0:
% 2.33/2.70 0 ==> 0
% 2.33/2.70 end
% 2.33/2.70
% 2.33/2.70 resolution: (14837) {G7,W4,D2,L1,V0,M1} { coll( skol20, skol20, skol22 )
% 2.33/2.70 }.
% 2.33/2.70 parent0[1]: (605) {G10,W8,D2,L2,V3,M2} R(603,592) { coll( X, X, Y ), ! coll
% 2.33/2.70 ( X, Y, Z ) }.
% 2.33/2.70 parent1[0]: (8771) {G6,W4,D2,L1,V0,M1} R(8612,431) { coll( skol20, skol22,
% 2.33/2.70 skol26 ) }.
% 2.33/2.70 substitution0:
% 2.33/2.70 X := skol20
% 2.33/2.70 Y := skol22
% 2.33/2.70 Z := skol26
% 2.33/2.70 end
% 2.33/2.70 substitution1:
% 2.33/2.70 end
% 2.33/2.70
% 2.33/2.70 subsumption: (9260) {G11,W4,D2,L1,V0,M1} R(8771,605) { coll( skol20, skol20
% 2.33/2.70 , skol22 ) }.
% 2.33/2.70 parent0: (14837) {G7,W4,D2,L1,V0,M1} { coll( skol20, skol20, skol22 ) }.
% 2.33/2.70 substitution0:
% 2.33/2.70 end
% 2.33/2.70 permutation0:
% 2.33/2.70 0 ==> 0
% 2.33/2.70 end
% 2.33/2.70
% 2.33/2.70 resolution: (14838) {G4,W8,D2,L2,V1,M2} { ! coll( skol20, skol20, skol22 )
% 2.33/2.70 , ! coll( skol27, skol20, X ) }.
% 2.33/2.70 parent0[1]: (185) {G3,W8,D2,L2,V1,M2} R(2,167) { ! coll( skol20, X, skol22
% 2.33/2.70 ), ! coll( skol20, X, skol23 ) }.
% 2.33/2.70 parent1[0]: (1253) {G12,W8,D2,L2,V2,M2} R(1244,264) { coll( X, X, skol23 )
% 2.33/2.70 , ! coll( skol27, X, Y ) }.
% 2.33/2.70 substitution0:
% 2.33/2.70 X := skol20
% 2.33/2.70 end
% 2.33/2.70 substitution1:
% 2.33/2.70 X := skol20
% 2.33/2.70 Y := X
% 2.33/2.70 end
% 2.33/2.70
% 2.33/2.70 resolution: (14839) {G5,W4,D2,L1,V1,M1} { ! coll( skol27, skol20, X ) }.
% 2.33/2.70 parent0[0]: (14838) {G4,W8,D2,L2,V1,M2} { ! coll( skol20, skol20, skol22 )
% 2.33/2.70 , ! coll( skol27, skol20, X ) }.
% 2.33/2.70 parent1[0]: (9260) {G11,W4,D2,L1,V0,M1} R(8771,605) { coll( skol20, skol20
% 2.33/2.70 , skol22 ) }.
% 2.33/2.70 substitution0:
% 2.33/2.70 X := X
% 2.33/2.70 end
% 2.33/2.70 substitution1:
% 2.33/2.70 end
% 2.33/2.70
% 2.33/2.70 subsumption: (9513) {G13,W4,D2,L1,V1,M1} R(185,1253);r(9260) { ! coll(
% 2.33/2.70 skol27, skol20, X ) }.
% 2.33/2.70 parent0: (14839) {G5,W4,D2,L1,V1,M1} { ! coll( skol27, skol20, X ) }.
% 2.33/2.70 substitution0:
% 2.33/2.70 X := X
% 2.33/2.70 end
% 2.33/2.70 permutation0:
% 2.33/2.70 0 ==> 0
% 2.33/2.70 end
% 2.33/2.70
% 2.33/2.70 resolution: (14840) {G1,W5,D2,L1,V1,M1} { ! para( skol27, skol20, skol27,
% 2.33/2.70 X ) }.
% 2.33/2.70 parent0[0]: (9513) {G13,W4,D2,L1,V1,M1} R(185,1253);r(9260) { ! coll(
% 2.33/2.70 skol27, skol20, X ) }.
% 2.33/2.70 parent1[1]: (66) {G0,W9,D2,L2,V3,M2} I { ! para( X, Y, X, Z ), coll( X, Y,
% 2.33/2.70 Z ) }.
% 2.33/2.70 substitution0:
% 2.33/2.70 X := X
% 2.33/2.70 end
% 2.33/2.70 substitution1:
% 2.33/2.70 X := skol27
% 2.33/2.70 Y := skol20
% 2.33/2.70 Z := X
% 2.33/2.70 end
% 2.33/2.70
% 2.33/2.70 subsumption: (9989) {G14,W5,D2,L1,V1,M1} R(9513,66) { ! para( skol27,
% 2.33/2.70 skol20, skol27, X ) }.
% 2.33/2.70 parent0: (14840) {G1,W5,D2,L1,V1,M1} { ! para( skol27, skol20, skol27, X )
% 2.33/2.70 }.
% 2.33/2.70 substitution0:
% 2.33/2.70 X := X
% 2.33/2.70 end
% 2.33/2.70 permutation0:
% 2.33/2.70 0 ==> 0
% 2.33/2.70 end
% 2.33/2.70
% 2.33/2.70 resolution: (14841) {G2,W5,D2,L1,V1,M1} { ! para( X, skol27, skol27,
% 2.33/2.70 skol20 ) }.
% 2.33/2.70 parent0[0]: (9989) {G14,W5,D2,L1,V1,M1} R(9513,66) { ! para( skol27, skol20
% 2.33/2.70 , skol27, X ) }.
% 2.33/2.70 parent1[1]: (229) {G1,W10,D2,L2,V4,M2} R(4,3) { ! para( X, Y, Z, T ), para
% 2.33/2.70 ( Z, T, Y, X ) }.
% 2.33/2.70 substitution0:
% 2.33/2.70 X := X
% 2.33/2.70 end
% 2.33/2.70 substitution1:
% 2.33/2.70 X := X
% 2.33/2.70 Y := skol27
% 2.33/2.70 Z := skol27
% 2.33/2.70 T := skol20
% 2.33/2.70 end
% 2.33/2.70
% 2.33/2.70 subsumption: (13460) {G15,W5,D2,L1,V1,M1} R(9989,229) { ! para( X, skol27,
% 2.33/2.70 skol27, skol20 ) }.
% 2.33/2.70 parent0: (14841) {G2,W5,D2,L1,V1,M1} { ! para( X, skol27, skol27, skol20 )
% 2.33/2.70 }.
% 2.33/2.70 substitution0:
% 2.33/2.70 X := X
% 2.33/2.70 end
% 2.33/2.70 permutation0:
% 2.33/2.70 0 ==> 0
% 2.33/2.70 end
% 2.33/2.70
% 2.33/2.70 resolution: (14842) {G1,W5,D2,L1,V1,M1} { ! para( X, skol27, skol20,
% 2.33/2.70 skol27 ) }.
% 2.33/2.70 parent0[0]: (13460) {G15,W5,D2,L1,V1,M1} R(9989,229) { ! para( X, skol27,
% 2.33/2.70 skol27, skol20 ) }.
% 2.33/2.70 parent1[1]: (3) {G0,W10,D2,L2,V4,M2} I { ! para( X, Y, Z, T ), para( X, Y,
% 2.33/2.70 T, Z ) }.
% 2.33/2.70 substitution0:
% 2.33/2.70 X := X
% 2.33/2.70 end
% 2.33/2.70 substitution1:
% 2.33/2.70 X := X
% 2.33/2.70 Y := skol27
% 2.33/2.70 Z := skol20
% 2.33/2.70 T := skol27
% 2.33/2.70 end
% 2.33/2.70
% 2.33/2.70 subsumption: (13510) {G16,W5,D2,L1,V1,M1} R(13460,3) { ! para( X, skol27,
% 2.33/2.70 skol20, skol27 ) }.
% 2.33/2.70 parent0: (14842) {G1,W5,D2,L1,V1,M1} { ! para( X, skol27, skol20, skol27 )
% 2.33/2.70 }.
% 2.33/2.70 substitution0:
% 2.33/2.70 X := X
% 2.33/2.70 end
% 2.33/2.70 permutation0:
% 2.33/2.70 0 ==> 0
% 2.33/2.70 end
% 2.33/2.70
% 2.33/2.70 resolution: (14843) {G2,W10,D2,L2,V3,M2} { ! para( Y, Z, skol20, skol27 )
% 2.33/2.70 , ! para( Y, Z, X, skol27 ) }.
% 2.33/2.70 parent0[0]: (13510) {G16,W5,D2,L1,V1,M1} R(13460,3) { ! para( X, skol27,
% 2.33/2.70 skol20, skol27 ) }.
% 2.33/2.70 parent1[1]: (237) {G1,W15,D2,L3,V6,M3} R(5,4) { ! para( X, Y, Z, T ), para
% 2.33/2.70 ( U, W, Z, T ), ! para( X, Y, U, W ) }.
% 2.33/2.70 substitution0:
% 2.33/2.70 X := X
% 2.33/2.70 end
% 2.33/2.70 substitution1:
% 2.33/2.70 X := Y
% 2.33/2.70 Y := Z
% 2.33/2.70 Z := skol20
% 2.33/2.70 T := skol27
% 2.33/2.70 U := X
% 2.33/2.70 W := skol27
% 2.33/2.70 end
% 2.33/2.70
% 2.33/2.70 subsumption: (13649) {G17,W10,D2,L2,V3,M2} R(237,13510) { ! para( X, Y,
% 2.33/2.70 skol20, skol27 ), ! para( X, Y, Z, skol27 ) }.
% 2.33/2.70 parent0: (14843) {G2,W10,D2,L2,V3,M2} { ! para( Y, Z, skol20, skol27 ), !
% 2.33/2.70 para( Y, Z, X, skol27 ) }.
% 2.33/2.70 substitution0:
% 2.33/2.70 X := skol20
% 2.33/2.70 Y := X
% 2.33/2.70 Z := Y
% 2.33/2.70 end
% 2.33/2.70 permutation0:
% 2.33/2.70 0 ==> 0
% 2.33/2.70 1 ==> 0
% 2.33/2.70 end
% 2.33/2.70
% 2.33/2.70 factor: (14845) {G17,W5,D2,L1,V2,M1} { ! para( X, Y, skol20, skol27 ) }.
% 2.33/2.70 parent0[0, 1]: (13649) {G17,W10,D2,L2,V3,M2} R(237,13510) { ! para( X, Y,
% 2.33/2.70 skol20, skol27 ), ! para( X, Y, Z, skol27 ) }.
% 2.33/2.70 substitution0:
% 2.33/2.70 X := X
% 2.33/2.70 Y := Y
% 2.33/2.70 Z := skol20
% 2.33/2.70 end
% 2.33/2.70
% 2.33/2.70 subsumption: (13671) {G18,W5,D2,L1,V2,M1} F(13649) { ! para( X, Y, skol20,
% 2.33/2.70 skol27 ) }.
% 2.33/2.70 parent0: (14845) {G17,W5,D2,L1,V2,M1} { ! para( X, Y, skol20, skol27 ) }.
% 2.33/2.70 substitution0:
% 2.33/2.70 X := X
% 2.33/2.70 Y := Y
% 2.33/2.70 end
% 2.33/2.70 permutation0:
% 2.33/2.70 0 ==> 0
% 2.33/2.70 end
% 2.33/2.70
% 2.33/2.70 resolution: (14846) {G2,W10,D2,L2,V4,M2} { ! perp( X, Y, Z, T ), ! perp(
% 2.33/2.70 skol20, skol27, Z, T ) }.
% 2.33/2.70 parent0[0]: (13671) {G18,W5,D2,L1,V2,M1} F(13649) { ! para( X, Y, skol20,
% 2.33/2.70 skol27 ) }.
% 2.33/2.70 parent1[1]: (295) {G1,W15,D2,L3,V6,M3} R(8,7) { ! perp( X, Y, Z, T ), para
% 2.33/2.70 ( X, Y, U, W ), ! perp( U, W, Z, T ) }.
% 2.33/2.70 substitution0:
% 2.33/2.70 X := X
% 2.33/2.70 Y := Y
% 2.33/2.70 end
% 2.33/2.70 substitution1:
% 2.33/2.70 X := X
% 2.33/2.70 Y := Y
% 2.33/2.70 Z := Z
% 2.33/2.70 T := T
% 2.33/2.70 U := skol20
% 2.33/2.70 W := skol27
% 2.33/2.70 end
% 2.33/2.70
% 2.33/2.70 subsumption: (14302) {G19,W10,D2,L2,V4,M2} R(295,13671) { ! perp( X, Y, Z,
% 2.33/2.70 T ), ! perp( skol20, skol27, Z, T ) }.
% 2.33/2.70 parent0: (14846) {G2,W10,D2,L2,V4,M2} { ! perp( X, Y, Z, T ), ! perp(
% 2.33/2.70 skol20, skol27, Z, T ) }.
% 2.33/2.70 substitution0:
% 2.33/2.70 X := X
% 2.33/2.70 Y := Y
% 2.33/2.70 Z := Z
% 2.33/2.70 T := T
% 2.33/2.70 end
% 2.33/2.70 permutation0:
% 2.33/2.70 0 ==> 0
% 2.33/2.70 1 ==> 1
% 2.33/2.70 end
% 2.33/2.70
% 2.33/2.70 factor: (14848) {G19,W5,D2,L1,V2,M1} { ! perp( skol20, skol27, X, Y ) }.
% 2.33/2.70 parent0[0, 1]: (14302) {G19,W10,D2,L2,V4,M2} R(295,13671) { ! perp( X, Y, Z
% 2.33/2.70 , T ), ! perp( skol20, skol27, Z, T ) }.
% 2.33/2.70 substitution0:
% 2.33/2.70 X := skol20
% 2.33/2.70 Y := skol27
% 2.33/2.70 Z := X
% 2.33/2.70 T := Y
% 2.33/2.70 end
% 2.33/2.70
% 2.33/2.70 subsumption: (14337) {G20,W5,D2,L1,V2,M1} F(14302) { ! perp( skol20, skol27
% 2.33/2.70 , X, Y ) }.
% 2.33/2.70 parent0: (14848) {G19,W5,D2,L1,V2,M1} { ! perp( skol20, skol27, X, Y ) }.
% 2.33/2.70 substitution0:
% 2.33/2.70 X := X
% 2.33/2.70 Y := Y
% 2.33/2.70 end
% 2.33/2.70 permutation0:
% 2.33/2.70 0 ==> 0
% 2.33/2.70 end
% 2.33/2.70
% 2.33/2.70 resolution: (14849) {G2,W0,D0,L0,V0,M0} { }.
% 2.33/2.70 parent0[0]: (14337) {G20,W5,D2,L1,V2,M1} F(14302) { ! perp( skol20, skol27
% 2.33/2.70 , X, Y ) }.
% 2.33/2.70 parent1[0]: (273) {G1,W5,D2,L1,V0,M1} R(6,119) { perp( skol20, skol27,
% 2.33/2.70 skol26, skol24 ) }.
% 2.33/2.70 substitution0:
% 2.33/2.70 X := skol26
% 2.33/2.70 Y := skol24
% 2.33/2.70 end
% 2.33/2.70 substitution1:
% 2.33/2.70 end
% 2.33/2.70
% 2.33/2.70 subsumption: (14341) {G21,W0,D0,L0,V0,M0} R(14337,273) { }.
% 2.33/2.70 parent0: (14849) {G2,W0,D0,L0,V0,M0} { }.
% 2.33/2.70 substitution0:
% 2.33/2.70 end
% 2.33/2.70 permutation0:
% 2.33/2.70 end
% 2.33/2.70
% 2.33/2.70 Proof check complete!
% 2.33/2.70
% 2.33/2.70 Memory use:
% 2.33/2.70
% 2.33/2.70 space for terms: 241051
% 2.33/2.70 space for clauses: 664355
% 2.33/2.70
% 2.33/2.70
% 2.33/2.70 clauses generated: 108300
% 2.33/2.70 clauses kept: 14342
% 2.33/2.70 clauses selected: 1117
% 2.33/2.70 clauses deleted: 169
% 2.33/2.70 clauses inuse deleted: 149
% 2.33/2.70
% 2.33/2.70 subsentry: 2159029
% 2.33/2.70 literals s-matched: 1495648
% 2.33/2.70 literals matched: 804284
% 2.33/2.70 full subsumption: 245993
% 2.33/2.70
% 2.33/2.70 checksum: 1672456028
% 2.33/2.70
% 2.33/2.70
% 2.33/2.70 Bliksem ended
%------------------------------------------------------------------------------