TSTP Solution File: GEO554+1 by Bliksem---1.12
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- Process Solution
%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : GEO554+1 : TPTP v8.1.0. Released v7.5.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n016.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 02:54:41 EDT 2022
% Result : Theorem 6.53s 6.94s
% Output : Refutation 6.53s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : GEO554+1 : TPTP v8.1.0. Released v7.5.0.
% 0.07/0.14 % Command : bliksem %s
% 0.13/0.35 % Computer : n016.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % DateTime : Sat Jun 18 02:36:51 EDT 2022
% 0.13/0.35 % CPUTime :
% 0.83/1.21 *** allocated 10000 integers for termspace/termends
% 0.83/1.21 *** allocated 10000 integers for clauses
% 0.83/1.21 *** allocated 10000 integers for justifications
% 0.83/1.21 Bliksem 1.12
% 0.83/1.21
% 0.83/1.21
% 0.83/1.21 Automatic Strategy Selection
% 0.83/1.21
% 0.83/1.21 *** allocated 15000 integers for termspace/termends
% 0.83/1.21
% 0.83/1.21 Clauses:
% 0.83/1.21
% 0.83/1.21 { ! coll( X, Y, Z ), coll( X, Z, Y ) }.
% 0.83/1.21 { ! coll( X, Y, Z ), coll( Y, X, Z ) }.
% 0.83/1.21 { ! coll( X, T, Y ), ! coll( X, T, Z ), coll( Y, Z, X ) }.
% 0.83/1.21 { ! para( X, Y, Z, T ), para( X, Y, T, Z ) }.
% 0.83/1.21 { ! para( X, Y, Z, T ), para( Z, T, X, Y ) }.
% 0.83/1.21 { ! para( X, Y, U, W ), ! para( U, W, Z, T ), para( X, Y, Z, T ) }.
% 0.83/1.21 { ! perp( X, Y, Z, T ), perp( X, Y, T, Z ) }.
% 0.83/1.21 { ! perp( X, Y, Z, T ), perp( Z, T, X, Y ) }.
% 0.83/1.21 { ! perp( X, Y, U, W ), ! perp( U, W, Z, T ), para( X, Y, Z, T ) }.
% 0.83/1.21 { ! para( X, Y, U, W ), ! perp( U, W, Z, T ), perp( X, Y, Z, T ) }.
% 0.83/1.21 { ! midp( Z, Y, X ), midp( Z, X, Y ) }.
% 0.83/1.21 { ! cong( T, X, T, Y ), ! cong( T, X, T, Z ), circle( T, X, Y, Z ) }.
% 0.83/1.21 { ! cong( U, X, U, Y ), ! cong( U, X, U, Z ), ! cong( U, X, U, T ), cyclic
% 0.83/1.21 ( X, Y, Z, T ) }.
% 0.83/1.21 { ! cyclic( X, Y, Z, T ), cyclic( X, Y, T, Z ) }.
% 0.83/1.21 { ! cyclic( X, Y, Z, T ), cyclic( X, Z, Y, T ) }.
% 0.83/1.21 { ! cyclic( X, Y, Z, T ), cyclic( Y, X, Z, T ) }.
% 0.83/1.21 { ! cyclic( U, X, Y, Z ), ! cyclic( U, X, Y, T ), cyclic( X, Y, Z, T ) }.
% 0.83/1.21 { ! eqangle( X, Y, Z, T, U, W, V0, V1 ), eqangle( Y, X, Z, T, U, W, V0, V1
% 0.83/1.21 ) }.
% 0.83/1.21 { ! eqangle( X, Y, Z, T, U, W, V0, V1 ), eqangle( Z, T, X, Y, V0, V1, U, W
% 0.83/1.21 ) }.
% 0.83/1.21 { ! eqangle( X, Y, Z, T, U, W, V0, V1 ), eqangle( U, W, V0, V1, X, Y, Z, T
% 0.83/1.21 ) }.
% 0.83/1.21 { ! eqangle( X, Y, Z, T, U, W, V0, V1 ), eqangle( X, Y, U, W, Z, T, V0, V1
% 0.83/1.21 ) }.
% 0.83/1.21 { ! eqangle( X, Y, Z, T, V2, V3, V4, V5 ), ! eqangle( V2, V3, V4, V5, U, W
% 0.83/1.21 , V0, V1 ), eqangle( X, Y, Z, T, U, W, V0, V1 ) }.
% 0.83/1.21 { ! cong( X, Y, Z, T ), cong( X, Y, T, Z ) }.
% 0.83/1.21 { ! cong( X, Y, Z, T ), cong( Z, T, X, Y ) }.
% 0.83/1.21 { ! cong( X, Y, U, W ), ! cong( U, W, Z, T ), cong( X, Y, Z, T ) }.
% 0.83/1.21 { ! eqratio( X, Y, Z, T, U, W, V0, V1 ), eqratio( Y, X, Z, T, U, W, V0, V1
% 0.83/1.21 ) }.
% 0.83/1.21 { ! eqratio( X, Y, Z, T, U, W, V0, V1 ), eqratio( Z, T, X, Y, V0, V1, U, W
% 0.83/1.21 ) }.
% 0.83/1.21 { ! eqratio( X, Y, Z, T, U, W, V0, V1 ), eqratio( U, W, V0, V1, X, Y, Z, T
% 0.83/1.21 ) }.
% 0.83/1.21 { ! eqratio( X, Y, Z, T, U, W, V0, V1 ), eqratio( X, Y, U, W, Z, T, V0, V1
% 0.83/1.21 ) }.
% 0.83/1.21 { ! eqratio( X, Y, Z, T, V2, V3, V4, V5 ), ! eqratio( V2, V3, V4, V5, U, W
% 0.83/1.21 , V0, V1 ), eqratio( X, Y, Z, T, U, W, V0, V1 ) }.
% 0.83/1.21 { ! simtri( X, Z, Y, T, W, U ), simtri( X, Y, Z, T, U, W ) }.
% 0.83/1.21 { ! simtri( Y, X, Z, U, T, W ), simtri( X, Y, Z, T, U, W ) }.
% 0.83/1.21 { ! simtri( T, U, W, X, Y, Z ), simtri( X, Y, Z, T, U, W ) }.
% 0.83/1.21 { ! simtri( X, Y, Z, V0, V1, V2 ), ! simtri( V0, V1, V2, T, U, W ), simtri
% 0.83/1.21 ( X, Y, Z, T, U, W ) }.
% 0.83/1.21 { ! contri( X, Z, Y, T, W, U ), contri( X, Y, Z, T, U, W ) }.
% 0.83/1.21 { ! contri( Y, X, Z, U, T, W ), contri( X, Y, Z, T, U, W ) }.
% 0.83/1.21 { ! contri( T, U, W, X, Y, Z ), contri( X, Y, Z, T, U, W ) }.
% 0.83/1.21 { ! contri( X, Y, Z, V0, V1, V2 ), ! contri( V0, V1, V2, T, U, W ), contri
% 0.83/1.21 ( X, Y, Z, T, U, W ) }.
% 0.83/1.21 { ! eqangle( X, Y, U, W, Z, T, U, W ), para( X, Y, Z, T ) }.
% 0.83/1.21 { ! para( X, Y, Z, T ), eqangle( X, Y, U, W, Z, T, U, W ) }.
% 0.83/1.21 { ! cyclic( X, Y, Z, T ), eqangle( Z, X, Z, Y, T, X, T, Y ) }.
% 0.83/1.21 { ! eqangle( Z, X, Z, Y, T, X, T, Y ), coll( Z, T, X ), cyclic( X, Y, Z, T
% 0.83/1.21 ) }.
% 0.83/1.21 { ! eqangle( Z, X, Z, Y, T, X, T, Y ), ! coll( Z, T, Y ), cyclic( X, Y, Z,
% 0.83/1.21 T ) }.
% 0.83/1.21 { ! cyclic( X, Y, U, Z ), ! cyclic( X, Y, U, T ), ! cyclic( X, Y, U, W ), !
% 0.83/1.21 eqangle( U, X, U, Y, W, Z, W, T ), cong( X, Y, Z, T ) }.
% 0.83/1.21 { ! midp( Z, U, X ), ! midp( T, U, Y ), para( Z, T, X, Y ) }.
% 0.83/1.21 { ! midp( U, X, T ), ! para( U, Z, T, Y ), ! coll( Z, X, Y ), midp( Z, X, Y
% 0.83/1.21 ) }.
% 0.83/1.21 { ! cong( Z, X, Z, Y ), eqangle( Z, X, X, Y, X, Y, Z, Y ) }.
% 0.83/1.21 { ! eqangle( Z, X, X, Y, X, Y, Z, Y ), coll( Z, X, Y ), cong( Z, X, Z, Y )
% 0.83/1.21 }.
% 0.83/1.21 { ! circle( U, X, Y, Z ), ! perp( U, X, X, T ), eqangle( X, T, X, Y, Z, X,
% 0.83/1.21 Z, Y ) }.
% 0.83/1.21 { ! circle( Y, X, T, U ), ! eqangle( X, Z, X, T, U, X, U, T ), perp( Y, X,
% 0.83/1.21 X, Z ) }.
% 0.83/1.21 { ! circle( T, X, Y, Z ), ! midp( U, Y, Z ), eqangle( X, Y, X, Z, T, Y, T,
% 0.83/1.21 U ) }.
% 0.83/1.21 { ! circle( U, T, X, Y ), ! coll( Z, X, Y ), ! eqangle( T, X, T, Y, U, X, U
% 0.83/1.21 , Z ), midp( Z, X, Y ) }.
% 0.83/1.21 { ! perp( X, Y, Y, T ), ! midp( Z, X, T ), cong( X, Z, Y, Z ) }.
% 0.83/1.21 { ! circle( T, X, Y, Z ), ! coll( T, X, Z ), perp( X, Y, Y, Z ) }.
% 0.83/1.21 { ! cyclic( X, Y, Z, T ), ! para( X, Y, Z, T ), eqangle( X, T, Z, T, Z, T,
% 0.83/1.21 Z, Y ) }.
% 0.83/1.21 { ! midp( T, X, Y ), ! perp( Z, T, X, Y ), cong( Z, X, Z, Y ) }.
% 0.83/1.21 { ! cong( X, Z, Y, Z ), ! cong( X, T, Y, T ), perp( X, Y, Z, T ) }.
% 0.83/1.21 { ! cong( X, Y, T, Y ), ! cong( X, Z, T, Z ), ! cyclic( X, T, Y, Z ), perp
% 0.83/1.21 ( Y, X, X, Z ) }.
% 0.83/1.21 { ! eqangle( X, Y, Y, Z, T, U, U, W ), ! eqangle( X, Z, Y, Z, T, W, U, W )
% 0.83/1.21 , coll( X, Y, Z ), simtri( X, Y, Z, T, U, W ) }.
% 0.83/1.21 { ! simtri( X, Y, Z, T, U, W ), eqratio( X, Y, X, Z, T, U, T, W ) }.
% 0.83/1.21 { ! simtri( X, Y, Z, T, U, W ), eqangle( X, Y, Y, Z, T, U, U, W ) }.
% 0.83/1.21 { ! simtri( X, Y, Z, T, U, W ), ! cong( X, Y, T, U ), contri( X, Y, Z, T, U
% 0.83/1.21 , W ) }.
% 0.83/1.21 { ! contri( X, Y, U, Z, T, W ), cong( X, Y, Z, T ) }.
% 0.83/1.21 { ! midp( U, X, Y ), ! midp( U, Z, T ), para( X, Z, Y, T ) }.
% 0.83/1.21 { ! midp( Z, T, U ), ! para( T, X, U, Y ), ! para( T, Y, U, X ), midp( Z, X
% 0.83/1.21 , Y ) }.
% 0.83/1.21 { ! para( X, Y, Z, T ), ! coll( U, X, Z ), ! coll( U, Y, T ), eqratio( U, X
% 0.83/1.21 , X, Z, U, Y, Y, T ) }.
% 0.83/1.21 { ! para( X, Y, X, Z ), coll( X, Y, Z ) }.
% 0.83/1.21 { ! cong( X, Y, X, Z ), ! coll( X, Y, Z ), midp( X, Y, Z ) }.
% 0.83/1.21 { ! midp( X, Y, Z ), cong( X, Y, X, Z ) }.
% 0.83/1.21 { ! midp( X, Y, Z ), coll( X, Y, Z ) }.
% 0.83/1.21 { ! midp( U, X, Y ), ! midp( W, Z, T ), eqratio( U, X, X, Y, W, Z, Z, T ) }
% 0.83/1.21 .
% 0.83/1.21 { ! eqangle( X, Y, Z, T, Z, T, X, Y ), para( X, Y, Z, T ), perp( X, Y, Z, T
% 0.83/1.21 ) }.
% 0.83/1.21 { ! eqangle( X, Y, Z, T, Z, T, X, Y ), perp( X, Y, Z, T ), para( X, Y, Z, T
% 0.83/1.21 ) }.
% 0.83/1.21 { ! eqangle( X, Y, Z, T, U, W, V0, V1 ), ! para( U, W, V0, V1 ), para( X, Y
% 0.83/1.21 , Z, T ) }.
% 0.83/1.21 { ! eqangle( X, Y, Z, T, U, W, V0, V1 ), ! perp( U, W, V0, V1 ), perp( X, Y
% 0.83/1.21 , Z, T ) }.
% 0.83/1.21 { ! eqratio( X, Y, Z, T, U, W, V0, V1 ), ! cong( U, W, V0, V1 ), cong( X, Y
% 0.83/1.21 , Z, T ) }.
% 0.83/1.21 { ! perp( Z, Y, Y, X ), ! eqangle( T, Z, Y, Z, Y, Z, X, Z ), coll( skol1( U
% 0.83/1.21 , W, Z, T ), Z, T ) }.
% 0.83/1.21 { ! perp( Z, Y, Y, X ), ! eqangle( T, Z, Y, Z, Y, Z, X, Z ), coll( skol1( X
% 0.83/1.21 , Y, Z, T ), X, Y ) }.
% 0.83/1.21 { ! cong( Z, X, Z, Y ), ! eqangle( X, Z, Z, T, Z, T, Z, Y ), coll( skol2( U
% 0.83/1.21 , W, Z, T ), Z, T ) }.
% 0.83/1.21 { ! cong( Z, X, Z, Y ), ! eqangle( X, Z, Z, T, Z, T, Z, Y ), coll( Y, X,
% 0.83/1.21 skol2( X, Y, Z, T ) ) }.
% 0.83/1.21 { ! perp( Z, T, X, Y ), ! eqangle( X, Z, Z, T, Z, T, Z, Y ), coll( skol3( U
% 0.83/1.21 , W, Z, T ), Z, T ) }.
% 0.83/1.21 { ! perp( Z, T, X, Y ), ! eqangle( X, Z, Z, T, Z, T, Z, Y ), coll( Y, X,
% 0.83/1.21 skol3( X, Y, Z, T ) ) }.
% 0.83/1.21 { ! perp( Z, T, X, Y ), ! cong( Z, X, Z, Y ), coll( skol4( U, W, Z, T ), Z
% 0.83/1.21 , T ) }.
% 0.83/1.21 { ! perp( Z, T, X, Y ), ! cong( Z, X, Z, Y ), coll( Y, X, skol4( X, Y, Z, T
% 0.83/1.21 ) ) }.
% 0.83/1.21 { ! eqangle( X, Z, Y, Z, X, T, Y, U ), coll( X, Y, Z ), cyclic( T, Y, Z,
% 0.83/1.21 skol5( W, Y, Z, T ) ) }.
% 0.83/1.21 { ! eqangle( X, Z, Y, Z, X, T, Y, U ), coll( X, Y, Z ), eqangle( X, Z, Y, Z
% 0.83/1.21 , X, skol5( X, Y, Z, T ), Y, skol5( X, Y, Z, T ) ) }.
% 0.83/1.21 { ! midp( U, X, Y ), ! midp( W, Z, T ), midp( skol6( X, V0, V1, T, V2, V3 )
% 0.83/1.21 , X, T ) }.
% 0.83/1.21 { ! midp( U, X, Y ), ! midp( W, Z, T ), para( skol6( X, V0, Z, T, V1, W ),
% 0.83/1.21 W, X, Z ) }.
% 0.83/1.21 { ! midp( U, X, Y ), ! midp( W, Z, T ), para( skol6( X, Y, Z, T, U, W ), U
% 0.83/1.21 , Y, T ) }.
% 0.83/1.21 { ! midp( Z, X, Y ), ! midp( W, T, U ), ! coll( T, X, Y ), ! coll( U, X, Y
% 0.83/1.21 ), midp( skol7( X, V0 ), X, V0 ) }.
% 0.83/1.21 { ! midp( T, X, U ), ! para( X, W, Z, T ), ! para( X, W, U, Y ), ! coll( W
% 0.83/1.21 , Y, Z ), coll( skol8( V0, V1, Z, T ), T, Z ) }.
% 0.83/1.21 { ! midp( T, X, U ), ! para( X, W, Z, T ), ! para( X, W, U, Y ), ! coll( W
% 0.83/1.21 , Y, Z ), coll( skol8( X, Y, Z, T ), X, Y ) }.
% 0.83/1.21 { ! cong( T, Z, T, U ), ! perp( X, Y, Y, T ), cong( T, Z, T, skol9( W, V0,
% 0.83/1.21 Z, T ) ) }.
% 0.83/1.21 { ! cong( T, Z, T, U ), ! perp( X, Y, Y, T ), cong( Y, Z, Y, skol9( W, Y, Z
% 0.83/1.21 , T ) ) }.
% 0.83/1.21 { ! cong( T, Z, T, U ), ! perp( X, Y, Y, T ), para( skol9( X, Y, Z, T ), Z
% 0.83/1.21 , X, Y ) }.
% 0.83/1.21 { ! perp( X, T, Y, Z ), ! perp( Y, T, X, Z ), coll( skol10( U, Y, Z ), Z, Y
% 0.83/1.21 ) }.
% 0.83/1.21 { ! perp( X, T, Y, Z ), ! perp( Y, T, X, Z ), perp( X, skol10( X, Y, Z ), Z
% 0.83/1.21 , Y ) }.
% 0.83/1.21 { ! perp( X, T, Y, Z ), ! perp( Y, T, X, Z ), alpha1( X, Y, Z ) }.
% 0.83/1.21 { ! alpha1( X, Y, Z ), coll( skol11( X, T, Z ), Z, X ) }.
% 0.83/1.21 { ! alpha1( X, Y, Z ), perp( Y, skol11( X, Y, Z ), Z, X ) }.
% 0.83/1.21 { ! coll( T, Z, X ), ! perp( Y, T, Z, X ), alpha1( X, Y, Z ) }.
% 0.83/1.21 { ! circle( Y, X, Z, T ), perp( skol12( X, Y ), X, X, Y ) }.
% 3.03/3.46 { ! circle( W, X, Y, Z ), ! cong( W, X, W, T ), ! cong( U, X, U, Y ), W = U
% 3.03/3.46 , alpha2( X, Z, U, skol13( X, V0, Z, V1, U ) ) }.
% 3.03/3.46 { ! circle( W, X, Y, Z ), ! cong( W, X, W, T ), ! cong( U, X, U, Y ), W = U
% 3.03/3.46 , coll( skol21( V0, Y, T, V1 ), Y, T ) }.
% 3.03/3.46 { ! circle( W, X, Y, Z ), ! cong( W, X, W, T ), ! cong( U, X, U, Y ), W = U
% 3.03/3.46 , cong( skol21( X, Y, T, U ), U, U, X ) }.
% 3.03/3.46 { ! alpha2( X, Y, Z, T ), coll( T, X, Y ) }.
% 3.03/3.46 { ! alpha2( X, Y, Z, T ), cong( T, Z, Z, X ) }.
% 3.03/3.46 { ! coll( T, X, Y ), ! cong( T, Z, Z, X ), alpha2( X, Y, Z, T ) }.
% 3.03/3.46 { ! cyclic( X, Y, Z, T ), ! para( X, Y, Z, T ), ! midp( U, X, Y ), circle(
% 3.03/3.46 skol14( X, Y, Z ), X, Y, Z ) }.
% 3.03/3.46 { ! perp( X, Z, Z, Y ), ! cyclic( X, Y, Z, T ), circle( skol15( X, Y, Z ),
% 3.03/3.46 X, Y, Z ) }.
% 3.03/3.46 { ! perp( X, U, U, T ), ! coll( T, Y, Z ), coll( skol16( W, Y, Z ), Y, Z )
% 3.03/3.46 }.
% 3.03/3.46 { ! perp( X, U, U, T ), ! coll( T, Y, Z ), perp( skol16( X, Y, Z ), X, Y, Z
% 3.03/3.46 ) }.
% 3.03/3.46 { ! perp( X, Z, X, Y ), ! perp( Y, X, Y, T ), ! midp( U, Z, T ), midp(
% 3.03/3.46 skol17( X, Y ), X, Y ) }.
% 3.03/3.46 { ! cong( Y, X, Y, Z ), ! perp( X, Y, Y, Z ), coll( X, Y, skol18( X, Y ) )
% 3.03/3.46 }.
% 3.03/3.46 { ! cong( Y, X, Y, Z ), ! perp( X, Y, Y, Z ), cong( Y, X, Y, skol18( X, Y )
% 3.03/3.46 ) }.
% 3.03/3.46 { ! para( U, W, X, Y ), ! coll( Z, U, X ), ! coll( Z, W, Y ), ! coll( T, U
% 3.03/3.46 , W ), coll( Z, T, skol19( V0, V1, Z, T ) ) }.
% 3.03/3.46 { ! para( U, W, X, Y ), ! coll( Z, U, X ), ! coll( Z, W, Y ), ! coll( T, U
% 3.03/3.46 , W ), coll( skol19( X, Y, Z, T ), X, Y ) }.
% 3.03/3.46 { perp( skol26, skol24, skol26, skol25 ) }.
% 3.03/3.46 { circle( skol24, skol26, skol27, skol28 ) }.
% 3.03/3.46 { circle( skol25, skol26, skol29, skol30 ) }.
% 3.03/3.46 { circle( skol24, skol26, skol20, skol31 ) }.
% 3.03/3.46 { coll( skol26, skol20, skol32 ) }.
% 3.03/3.46 { circle( skol25, skol26, skol32, skol33 ) }.
% 3.03/3.46 { coll( skol25, skol32, skol22 ) }.
% 3.03/3.46 { circle( skol25, skol26, skol22, skol34 ) }.
% 3.03/3.46 { circle( skol24, skol26, skol23, skol35 ) }.
% 3.03/3.46 { circle( skol25, skol26, skol23, skol36 ) }.
% 3.03/3.46 { ! coll( skol20, skol22, skol23 ) }.
% 3.03/3.46
% 3.03/3.46 percentage equality = 0.008696, percentage horn = 0.929134
% 3.03/3.46 This is a problem with some equality
% 3.03/3.46
% 3.03/3.46
% 3.03/3.46
% 3.03/3.46 Options Used:
% 3.03/3.46
% 3.03/3.46 useres = 1
% 3.03/3.46 useparamod = 1
% 3.03/3.46 useeqrefl = 1
% 3.03/3.46 useeqfact = 1
% 3.03/3.46 usefactor = 1
% 3.03/3.46 usesimpsplitting = 0
% 3.03/3.46 usesimpdemod = 5
% 3.03/3.46 usesimpres = 3
% 3.03/3.46
% 3.03/3.46 resimpinuse = 1000
% 3.03/3.46 resimpclauses = 20000
% 3.03/3.46 substype = eqrewr
% 3.03/3.46 backwardsubs = 1
% 3.03/3.46 selectoldest = 5
% 3.03/3.46
% 3.03/3.46 litorderings [0] = split
% 3.03/3.46 litorderings [1] = extend the termordering, first sorting on arguments
% 3.03/3.46
% 3.03/3.46 termordering = kbo
% 3.03/3.46
% 3.03/3.46 litapriori = 0
% 3.03/3.46 termapriori = 1
% 3.03/3.46 litaposteriori = 0
% 3.03/3.46 termaposteriori = 0
% 3.03/3.46 demodaposteriori = 0
% 3.03/3.46 ordereqreflfact = 0
% 3.03/3.46
% 3.03/3.46 litselect = negord
% 3.03/3.46
% 3.03/3.46 maxweight = 15
% 3.03/3.46 maxdepth = 30000
% 3.03/3.46 maxlength = 115
% 3.03/3.46 maxnrvars = 195
% 3.03/3.46 excuselevel = 1
% 3.03/3.46 increasemaxweight = 1
% 3.03/3.46
% 3.03/3.46 maxselected = 10000000
% 3.03/3.46 maxnrclauses = 10000000
% 3.03/3.46
% 3.03/3.46 showgenerated = 0
% 3.03/3.46 showkept = 0
% 3.03/3.46 showselected = 0
% 3.03/3.46 showdeleted = 0
% 3.03/3.46 showresimp = 1
% 3.03/3.46 showstatus = 2000
% 3.03/3.46
% 3.03/3.46 prologoutput = 0
% 3.03/3.46 nrgoals = 5000000
% 3.03/3.46 totalproof = 1
% 3.03/3.46
% 3.03/3.46 Symbols occurring in the translation:
% 3.03/3.46
% 3.03/3.46 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 3.03/3.46 . [1, 2] (w:1, o:54, a:1, s:1, b:0),
% 3.03/3.46 ! [4, 1] (w:0, o:49, a:1, s:1, b:0),
% 3.03/3.46 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 3.03/3.46 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 3.03/3.46 coll [38, 3] (w:1, o:82, a:1, s:1, b:0),
% 3.03/3.46 para [40, 4] (w:1, o:90, a:1, s:1, b:0),
% 3.03/3.46 perp [43, 4] (w:1, o:91, a:1, s:1, b:0),
% 3.03/3.46 midp [45, 3] (w:1, o:83, a:1, s:1, b:0),
% 3.03/3.46 cong [47, 4] (w:1, o:92, a:1, s:1, b:0),
% 3.03/3.46 circle [48, 4] (w:1, o:93, a:1, s:1, b:0),
% 3.03/3.46 cyclic [49, 4] (w:1, o:94, a:1, s:1, b:0),
% 3.03/3.46 eqangle [54, 8] (w:1, o:109, a:1, s:1, b:0),
% 3.03/3.46 eqratio [57, 8] (w:1, o:110, a:1, s:1, b:0),
% 3.03/3.46 simtri [59, 6] (w:1, o:106, a:1, s:1, b:0),
% 3.03/3.46 contri [60, 6] (w:1, o:107, a:1, s:1, b:0),
% 3.03/3.46 alpha1 [73, 3] (w:1, o:84, a:1, s:1, b:1),
% 3.03/3.46 alpha2 [74, 4] (w:1, o:95, a:1, s:1, b:1),
% 3.03/3.46 skol1 [75, 4] (w:1, o:96, a:1, s:1, b:1),
% 3.03/3.46 skol2 [76, 4] (w:1, o:98, a:1, s:1, b:1),
% 3.03/3.46 skol3 [77, 4] (w:1, o:100, a:1, s:1, b:1),
% 3.03/3.46 skol4 [78, 4] (w:1, o:101, a:1, s:1, b:1),
% 6.53/6.94 skol5 [79, 4] (w:1, o:102, a:1, s:1, b:1),
% 6.53/6.94 skol6 [80, 6] (w:1, o:108, a:1, s:1, b:1),
% 6.53/6.94 skol7 [81, 2] (w:1, o:78, a:1, s:1, b:1),
% 6.53/6.94 skol8 [82, 4] (w:1, o:103, a:1, s:1, b:1),
% 6.53/6.94 skol9 [83, 4] (w:1, o:104, a:1, s:1, b:1),
% 6.53/6.94 skol10 [84, 3] (w:1, o:85, a:1, s:1, b:1),
% 6.53/6.94 skol11 [85, 3] (w:1, o:86, a:1, s:1, b:1),
% 6.53/6.94 skol12 [86, 2] (w:1, o:79, a:1, s:1, b:1),
% 6.53/6.94 skol13 [87, 5] (w:1, o:105, a:1, s:1, b:1),
% 6.53/6.94 skol14 [88, 3] (w:1, o:87, a:1, s:1, b:1),
% 6.53/6.94 skol15 [89, 3] (w:1, o:88, a:1, s:1, b:1),
% 6.53/6.94 skol16 [90, 3] (w:1, o:89, a:1, s:1, b:1),
% 6.53/6.94 skol17 [91, 2] (w:1, o:80, a:1, s:1, b:1),
% 6.53/6.94 skol18 [92, 2] (w:1, o:81, a:1, s:1, b:1),
% 6.53/6.94 skol19 [93, 4] (w:1, o:97, a:1, s:1, b:1),
% 6.53/6.94 skol20 [94, 0] (w:1, o:33, a:1, s:1, b:1),
% 6.53/6.94 skol21 [95, 4] (w:1, o:99, a:1, s:1, b:1),
% 6.53/6.94 skol22 [96, 0] (w:1, o:34, a:1, s:1, b:1),
% 6.53/6.94 skol23 [97, 0] (w:1, o:35, a:1, s:1, b:1),
% 6.53/6.94 skol24 [98, 0] (w:1, o:36, a:1, s:1, b:1),
% 6.53/6.94 skol25 [99, 0] (w:1, o:37, a:1, s:1, b:1),
% 6.53/6.94 skol26 [100, 0] (w:1, o:38, a:1, s:1, b:1),
% 6.53/6.94 skol27 [101, 0] (w:1, o:39, a:1, s:1, b:1),
% 6.53/6.94 skol28 [102, 0] (w:1, o:40, a:1, s:1, b:1),
% 6.53/6.94 skol29 [103, 0] (w:1, o:41, a:1, s:1, b:1),
% 6.53/6.94 skol30 [104, 0] (w:1, o:42, a:1, s:1, b:1),
% 6.53/6.94 skol31 [105, 0] (w:1, o:43, a:1, s:1, b:1),
% 6.53/6.94 skol32 [106, 0] (w:1, o:44, a:1, s:1, b:1),
% 6.53/6.94 skol33 [107, 0] (w:1, o:45, a:1, s:1, b:1),
% 6.53/6.94 skol34 [108, 0] (w:1, o:46, a:1, s:1, b:1),
% 6.53/6.94 skol35 [109, 0] (w:1, o:47, a:1, s:1, b:1),
% 6.53/6.94 skol36 [110, 0] (w:1, o:48, a:1, s:1, b:1).
% 6.53/6.94
% 6.53/6.94
% 6.53/6.94 Starting Search:
% 6.53/6.94
% 6.53/6.94 *** allocated 15000 integers for clauses
% 6.53/6.94 *** allocated 22500 integers for clauses
% 6.53/6.94 *** allocated 33750 integers for clauses
% 6.53/6.94 *** allocated 22500 integers for termspace/termends
% 6.53/6.94 *** allocated 50625 integers for clauses
% 6.53/6.94 Resimplifying inuse:
% 6.53/6.94 Done
% 6.53/6.94
% 6.53/6.94 *** allocated 75937 integers for clauses
% 6.53/6.94 *** allocated 33750 integers for termspace/termends
% 6.53/6.94 *** allocated 113905 integers for clauses
% 6.53/6.94 *** allocated 50625 integers for termspace/termends
% 6.53/6.94
% 6.53/6.94 Intermediate Status:
% 6.53/6.94 Generated: 19407
% 6.53/6.94 Kept: 2034
% 6.53/6.94 Inuse: 336
% 6.53/6.94 Deleted: 1
% 6.53/6.94 Deletedinuse: 1
% 6.53/6.94
% 6.53/6.94 Resimplifying inuse:
% 6.53/6.94 Done
% 6.53/6.94
% 6.53/6.94 *** allocated 170857 integers for clauses
% 6.53/6.94 *** allocated 75937 integers for termspace/termends
% 6.53/6.94 Resimplifying inuse:
% 6.53/6.94 Done
% 6.53/6.94
% 6.53/6.94 *** allocated 256285 integers for clauses
% 6.53/6.94 *** allocated 113905 integers for termspace/termends
% 6.53/6.94
% 6.53/6.94 Intermediate Status:
% 6.53/6.94 Generated: 33924
% 6.53/6.94 Kept: 4037
% 6.53/6.94 Inuse: 481
% 6.53/6.94 Deleted: 1
% 6.53/6.94 Deletedinuse: 1
% 6.53/6.94
% 6.53/6.94 Resimplifying inuse:
% 6.53/6.94 Done
% 6.53/6.94
% 6.53/6.94 Resimplifying inuse:
% 6.53/6.94 Done
% 6.53/6.94
% 6.53/6.94 *** allocated 170857 integers for termspace/termends
% 6.53/6.94 *** allocated 384427 integers for clauses
% 6.53/6.94
% 6.53/6.94 Intermediate Status:
% 6.53/6.94 Generated: 45778
% 6.53/6.94 Kept: 6140
% 6.53/6.94 Inuse: 551
% 6.53/6.94 Deleted: 1
% 6.53/6.94 Deletedinuse: 1
% 6.53/6.94
% 6.53/6.94 Resimplifying inuse:
% 6.53/6.94 Done
% 6.53/6.94
% 6.53/6.94 Resimplifying inuse:
% 6.53/6.94 Done
% 6.53/6.94
% 6.53/6.94 *** allocated 576640 integers for clauses
% 6.53/6.94
% 6.53/6.94 Intermediate Status:
% 6.53/6.94 Generated: 70466
% 6.53/6.94 Kept: 8160
% 6.53/6.94 Inuse: 739
% 6.53/6.94 Deleted: 3
% 6.53/6.94 Deletedinuse: 1
% 6.53/6.94
% 6.53/6.94 Resimplifying inuse:
% 6.53/6.94 Done
% 6.53/6.94
% 6.53/6.94 *** allocated 256285 integers for termspace/termends
% 6.53/6.94 Resimplifying inuse:
% 6.53/6.94 Done
% 6.53/6.94
% 6.53/6.94
% 6.53/6.94 Intermediate Status:
% 6.53/6.94 Generated: 88247
% 6.53/6.94 Kept: 10506
% 6.53/6.94 Inuse: 819
% 6.53/6.94 Deleted: 9
% 6.53/6.94 Deletedinuse: 7
% 6.53/6.94
% 6.53/6.94 Resimplifying inuse:
% 6.53/6.94 Done
% 6.53/6.94
% 6.53/6.94 Resimplifying inuse:
% 6.53/6.94 Done
% 6.53/6.94
% 6.53/6.94
% 6.53/6.94 Intermediate Status:
% 6.53/6.94 Generated: 101671
% 6.53/6.94 Kept: 12510
% 6.53/6.94 Inuse: 887
% 6.53/6.94 Deleted: 17
% 6.53/6.94 Deletedinuse: 9
% 6.53/6.94
% 6.53/6.94 Resimplifying inuse:
% 6.53/6.94 Done
% 6.53/6.94
% 6.53/6.94 *** allocated 864960 integers for clauses
% 6.53/6.94 Resimplifying inuse:
% 6.53/6.94 Done
% 6.53/6.94
% 6.53/6.94
% 6.53/6.94 Intermediate Status:
% 6.53/6.94 Generated: 116108
% 6.53/6.94 Kept: 14559
% 6.53/6.94 Inuse: 1099
% 6.53/6.94 Deleted: 121
% 6.53/6.94 Deletedinuse: 94
% 6.53/6.94
% 6.53/6.94 Resimplifying inuse:
% 6.53/6.94 Done
% 6.53/6.94
% 6.53/6.94 *** allocated 384427 integers for termspace/termends
% 6.53/6.94 Resimplifying inuse:
% 6.53/6.94 Done
% 6.53/6.94
% 6.53/6.94
% 6.53/6.94 Intermediate Status:
% 6.53/6.94 Generated: 130686
% 6.53/6.94 Kept: 16559
% 6.53/6.94 Inuse: 1265
% 6.53/6.94 Deleted: 211
% 6.53/6.94 Deletedinuse: 161
% 6.53/6.94
% 6.53/6.94 Resimplifying inuse:
% 6.53/6.94 Done
% 6.53/6.94
% 6.53/6.94 Resimplifying inuse:
% 6.53/6.94 Done
% 6.53/6.94
% 6.53/6.94
% 6.53/6.94 Intermediate Status:
% 6.53/6.94 Generated: 141920
% 6.53/6.94 Kept: 18563
% 6.53/6.94 Inuse: 1487
% 6.53/6.94 Deleted: 342
% 6.53/6.94 Deletedinuse: 232
% 6.53/6.94
% 6.53/6.94 Resimplifying inuse:
% 6.53/6.94 Done
% 6.53/6.94
% 6.53/6.94 *** allocated 1297440 integers for clauses
% 6.53/6.94 Resimplifying inuse:
% 6.53/6.94 Done
% 6.53/6.94
% 6.53/6.94 Resimplifying clauses:
% 6.53/6.94 Done
% 6.53/6.94
% 6.53/6.94
% 6.53/6.94 Intermediate Status:
% 6.53/6.94 Generated: 148449
% 6.53/6.94 Kept: 20588
% 6.53/6.94 Inuse: 1540
% 6.53/6.94 Deleted: 3200
% 6.53/6.94 Deletedinuse: 236
% 6.53/6.94
% 6.53/6.94 Resimplifying inuse:
% 6.53/6.94 Done
% 6.53/6.94
% 6.53/6.94
% 6.53/6.94 Intermediate Status:
% 6.53/6.94 Generated: 163024
% 6.53/6.94 Kept: 22602
% 6.53/6.94 Inuse: 1612
% 6.53/6.94 Deleted: 3238
% 6.53/6.94 Deletedinuse: 241
% 6.53/6.94
% 6.53/6.94 Resimplifying inuse:
% 6.53/6.94 Done
% 6.53/6.94
% 6.53/6.94 Resimplifying inuse:
% 6.53/6.94 Done
% 6.53/6.94
% 6.53/6.94
% 6.53/6.94 Intermediate Status:
% 6.53/6.94 Generated: 172446
% 6.53/6.94 Kept: 24603
% 6.53/6.94 Inuse: 1749
% 6.53/6.94 Deleted: 3285
% 6.53/6.94 Deletedinuse: 271
% 6.53/6.94
% 6.53/6.94 Resimplifying inuse:
% 6.53/6.94 Done
% 6.53/6.94
% 6.53/6.94 *** allocated 576640 integers for termspace/termends
% 6.53/6.94 Resimplifying inuse:
% 6.53/6.94 Done
% 6.53/6.94
% 6.53/6.94
% 6.53/6.94 Intermediate Status:
% 6.53/6.94 Generated: 181800
% 6.53/6.94 Kept: 26606
% 6.53/6.94 Inuse: 1858
% 6.53/6.94 Deleted: 3412
% 6.53/6.94 Deletedinuse: 373
% 6.53/6.94
% 6.53/6.94 Resimplifying inuse:
% 6.53/6.94 Done
% 6.53/6.94
% 6.53/6.94 Resimplifying inuse:
% 6.53/6.94 Done
% 6.53/6.94
% 6.53/6.94
% 6.53/6.94 Intermediate Status:
% 6.53/6.94 Generated: 196951
% 6.53/6.94 Kept: 28606
% 6.53/6.94 Inuse: 2162
% 6.53/6.94 Deleted: 3510
% 6.53/6.94 Deletedinuse: 395
% 6.53/6.94
% 6.53/6.94 *** allocated 1946160 integers for clauses
% 6.53/6.94 Resimplifying inuse:
% 6.53/6.94 Done
% 6.53/6.94
% 6.53/6.94 Resimplifying inuse:
% 6.53/6.94 Done
% 6.53/6.94
% 6.53/6.94
% 6.53/6.94 Intermediate Status:
% 6.53/6.94 Generated: 225892
% 6.53/6.94 Kept: 30763
% 6.53/6.94 Inuse: 2404
% 6.53/6.94 Deleted: 3594
% 6.53/6.94 Deletedinuse: 424
% 6.53/6.94
% 6.53/6.94 Resimplifying inuse:
% 6.53/6.94 Done
% 6.53/6.94
% 6.53/6.94
% 6.53/6.94 Bliksems!, er is een bewijs:
% 6.53/6.94 % SZS status Theorem
% 6.53/6.94 % SZS output start Refutation
% 6.53/6.94
% 6.53/6.94 (0) {G0,W8,D2,L2,V3,M2} I { ! coll( X, Y, Z ), coll( X, Z, Y ) }.
% 6.53/6.94 (1) {G0,W8,D2,L2,V3,M2} I { ! coll( X, Y, Z ), coll( Y, X, Z ) }.
% 6.53/6.94 (2) {G0,W12,D2,L3,V4,M3} I { ! coll( X, T, Y ), ! coll( X, T, Z ), coll( Y
% 6.53/6.94 , Z, X ) }.
% 6.53/6.94 (4) {G0,W10,D2,L2,V4,M2} I { ! para( X, Y, Z, T ), para( Z, T, X, Y ) }.
% 6.53/6.94 (5) {G0,W15,D2,L3,V6,M3} I { ! para( X, Y, U, W ), ! para( U, W, Z, T ),
% 6.53/6.94 para( X, Y, Z, T ) }.
% 6.53/6.94 (6) {G0,W10,D2,L2,V4,M2} I { ! perp( X, Y, Z, T ), perp( X, Y, T, Z ) }.
% 6.53/6.94 (7) {G0,W10,D2,L2,V4,M2} I { ! perp( X, Y, Z, T ), perp( Z, T, X, Y ) }.
% 6.53/6.94 (8) {G0,W15,D2,L3,V6,M3} I { ! perp( X, Y, U, W ), ! perp( U, W, Z, T ),
% 6.53/6.94 para( X, Y, Z, T ) }.
% 6.53/6.94 (15) {G0,W10,D2,L2,V4,M2} I { ! cyclic( X, Y, Z, T ), cyclic( Y, X, Z, T )
% 6.53/6.94 }.
% 6.53/6.94 (16) {G0,W15,D2,L3,V5,M3} I { ! cyclic( U, X, Y, Z ), ! cyclic( U, X, Y, T
% 6.53/6.94 ), cyclic( X, Y, Z, T ) }.
% 6.53/6.94 (17) {G0,W18,D2,L2,V8,M2} I { ! eqangle( X, Y, Z, T, U, W, V0, V1 ),
% 6.53/6.94 eqangle( Y, X, Z, T, U, W, V0, V1 ) }.
% 6.53/6.94 (18) {G0,W18,D2,L2,V8,M2} I { ! eqangle( X, Y, Z, T, U, W, V0, V1 ),
% 6.53/6.94 eqangle( Z, T, X, Y, V0, V1, U, W ) }.
% 6.53/6.94 (38) {G0,W14,D2,L2,V6,M2} I { ! eqangle( X, Y, U, W, Z, T, U, W ), para( X
% 6.53/6.94 , Y, Z, T ) }.
% 6.53/6.94 (39) {G0,W14,D2,L2,V6,M2} I { ! para( X, Y, Z, T ), eqangle( X, Y, U, W, Z
% 6.53/6.94 , T, U, W ) }.
% 6.53/6.94 (40) {G0,W14,D2,L2,V4,M2} I { ! cyclic( X, Y, Z, T ), eqangle( Z, X, Z, Y,
% 6.53/6.94 T, X, T, Y ) }.
% 6.53/6.94 (42) {G0,W18,D2,L3,V4,M3} I { ! eqangle( Z, X, Z, Y, T, X, T, Y ), ! coll(
% 6.53/6.94 Z, T, Y ), cyclic( X, Y, Z, T ) }.
% 6.53/6.94 (66) {G0,W9,D2,L2,V3,M2} I { ! para( X, Y, X, Z ), coll( X, Y, Z ) }.
% 6.53/6.94 (94) {G0,W17,D3,L3,V5,M3} I { ! perp( X, T, Y, Z ), ! perp( Y, T, X, Z ),
% 6.53/6.94 coll( skol10( U, Y, Z ), Z, Y ) }.
% 6.53/6.94 (96) {G0,W14,D2,L3,V4,M3} I { ! perp( X, T, Y, Z ), ! perp( Y, T, X, Z ),
% 6.53/6.94 alpha1( X, Y, Z ) }.
% 6.53/6.94 (97) {G0,W11,D3,L2,V4,M2} I { ! alpha1( X, Y, Z ), coll( skol11( X, T, Z )
% 6.53/6.94 , Z, X ) }.
% 6.53/6.94 (116) {G0,W5,D2,L1,V0,M1} I { perp( skol26, skol24, skol26, skol25 ) }.
% 6.53/6.94 (120) {G0,W4,D2,L1,V0,M1} I { coll( skol26, skol20, skol32 ) }.
% 6.53/6.94 (122) {G0,W4,D2,L1,V0,M1} I { coll( skol25, skol32, skol22 ) }.
% 6.53/6.94 (126) {G0,W4,D2,L1,V0,M1} I { ! coll( skol20, skol22, skol23 ) }.
% 6.53/6.94 (164) {G1,W4,D2,L1,V0,M1} R(0,120) { coll( skol26, skol32, skol20 ) }.
% 6.53/6.94 (166) {G1,W4,D2,L1,V0,M1} R(0,126) { ! coll( skol20, skol23, skol22 ) }.
% 6.53/6.94 (167) {G2,W4,D2,L1,V0,M1} R(1,166) { ! coll( skol23, skol20, skol22 ) }.
% 6.53/6.94 (169) {G2,W4,D2,L1,V0,M1} R(1,164) { coll( skol32, skol26, skol20 ) }.
% 6.53/6.94 (171) {G1,W8,D2,L2,V3,M2} R(1,0) { ! coll( X, Y, Z ), coll( Y, Z, X ) }.
% 6.53/6.94 (172) {G1,W4,D2,L1,V0,M1} R(1,120) { coll( skol20, skol26, skol32 ) }.
% 6.53/6.94 (173) {G1,W4,D2,L1,V0,M1} R(1,122) { coll( skol32, skol25, skol22 ) }.
% 6.53/6.94 (175) {G3,W4,D2,L1,V0,M1} R(167,0) { ! coll( skol23, skol22, skol20 ) }.
% 6.53/6.94 (176) {G4,W4,D2,L1,V0,M1} R(175,1) { ! coll( skol22, skol23, skol20 ) }.
% 6.53/6.94 (182) {G5,W8,D2,L2,V1,M2} R(2,176) { ! coll( skol20, X, skol22 ), ! coll(
% 6.53/6.94 skol20, X, skol23 ) }.
% 6.53/6.94 (192) {G1,W12,D2,L3,V4,M3} R(2,0) { ! coll( X, Y, Z ), ! coll( X, Y, T ),
% 6.53/6.94 coll( Z, X, T ) }.
% 6.53/6.94 (198) {G2,W8,D2,L2,V3,M2} F(192) { ! coll( X, Y, Z ), coll( Z, X, Z ) }.
% 6.53/6.94 (208) {G3,W4,D2,L1,V0,M1} R(169,0) { coll( skol32, skol20, skol26 ) }.
% 6.53/6.94 (211) {G4,W4,D2,L1,V0,M1} R(208,1) { coll( skol20, skol32, skol26 ) }.
% 6.53/6.94 (213) {G5,W8,D2,L2,V1,M2} R(211,2) { ! coll( skol20, skol32, X ), coll( X,
% 6.53/6.94 skol26, skol20 ) }.
% 6.53/6.94 (214) {G2,W8,D2,L2,V1,M2} R(172,2) { ! coll( skol20, skol26, X ), coll(
% 6.53/6.94 skol32, X, skol20 ) }.
% 6.53/6.94 (217) {G2,W8,D2,L2,V1,M2} R(173,2) { ! coll( skol32, skol25, X ), coll( X,
% 6.53/6.94 skol22, skol32 ) }.
% 6.53/6.94 (222) {G1,W15,D2,L3,V6,M3} R(5,4) { ! para( X, Y, Z, T ), para( X, Y, U, W
% 6.53/6.94 ), ! para( U, W, Z, T ) }.
% 6.53/6.94 (226) {G2,W10,D2,L2,V4,M2} F(222) { ! para( X, Y, Z, T ), para( X, Y, X, Y
% 6.53/6.94 ) }.
% 6.53/6.94 (231) {G5,W4,D2,L1,V0,M1} R(198,211) { coll( skol26, skol20, skol26 ) }.
% 6.53/6.94 (236) {G3,W12,D2,L3,V4,M3} R(198,2) { coll( X, Y, X ), ! coll( X, Z, Y ), !
% 6.53/6.94 coll( X, Z, T ) }.
% 6.53/6.94 (246) {G4,W8,D2,L2,V3,M2} F(236) { coll( X, Y, X ), ! coll( X, Z, Y ) }.
% 6.53/6.94 (261) {G1,W5,D2,L1,V0,M1} R(7,116) { perp( skol26, skol25, skol26, skol24 )
% 6.53/6.94 }.
% 6.53/6.94 (268) {G6,W4,D2,L1,V0,M1} R(231,0) { coll( skol26, skol26, skol20 ) }.
% 6.53/6.94 (283) {G7,W8,D2,L2,V1,M2} R(268,2) { ! coll( skol26, skol26, X ), coll(
% 6.53/6.94 skol20, X, skol26 ) }.
% 6.53/6.94 (362) {G2,W10,D2,L2,V2,M2} R(261,8) { ! perp( X, Y, skol26, skol25 ), para
% 6.53/6.94 ( X, Y, skol26, skol24 ) }.
% 6.53/6.94 (363) {G2,W5,D2,L1,V0,M1} R(261,6) { perp( skol26, skol25, skol24, skol26 )
% 6.53/6.94 }.
% 6.53/6.94 (367) {G1,W15,D2,L3,V5,M3} R(16,15) { ! cyclic( X, Y, Z, T ), cyclic( Y, Z
% 6.53/6.94 , T, U ), ! cyclic( Y, X, Z, U ) }.
% 6.53/6.94 (383) {G3,W5,D2,L1,V0,M1} R(363,7) { perp( skol24, skol26, skol26, skol25 )
% 6.53/6.94 }.
% 6.53/6.94 (387) {G4,W5,D2,L1,V0,M1} R(383,6) { perp( skol24, skol26, skol25, skol26 )
% 6.53/6.94 }.
% 6.53/6.94 (391) {G5,W5,D2,L1,V0,M1} R(387,7) { perp( skol25, skol26, skol24, skol26 )
% 6.53/6.94 }.
% 6.53/6.94 (408) {G5,W8,D2,L2,V3,M2} R(246,1) { ! coll( X, Y, Z ), coll( Z, X, X ) }.
% 6.53/6.94 (413) {G6,W8,D2,L2,V3,M2} R(408,1) { coll( X, Y, Y ), ! coll( Z, Y, X ) }.
% 6.53/6.94 (414) {G6,W8,D2,L2,V3,M2} R(408,0) { coll( X, Y, Y ), ! coll( Y, X, Z ) }.
% 6.53/6.94 (415) {G7,W8,D2,L2,V3,M2} R(413,408) { ! coll( X, Y, Z ), coll( Y, Z, Z )
% 6.53/6.94 }.
% 6.53/6.94 (421) {G7,W8,D2,L2,V3,M2} R(414,414) { ! coll( X, Y, Z ), coll( X, Y, Y )
% 6.53/6.94 }.
% 6.53/6.94 (424) {G8,W12,D2,L3,V4,M3} R(421,2) { ! coll( X, Y, Z ), ! coll( X, Y, T )
% 6.53/6.94 , coll( T, Y, X ) }.
% 6.53/6.94 (425) {G9,W8,D2,L2,V3,M2} F(424) { ! coll( X, Y, Z ), coll( Z, Y, X ) }.
% 6.53/6.94 (427) {G10,W8,D2,L2,V3,M2} R(425,414) { coll( X, X, Y ), ! coll( X, Y, Z )
% 6.53/6.94 }.
% 6.53/6.94 (428) {G10,W8,D2,L2,V3,M2} R(425,415) { coll( X, X, Y ), ! coll( Z, Y, X )
% 6.53/6.94 }.
% 6.53/6.94 (429) {G10,W8,D2,L2,V3,M2} R(425,413) { coll( X, X, Y ), ! coll( Z, X, Y )
% 6.53/6.94 }.
% 6.53/6.94 (754) {G1,W14,D2,L2,V6,M2} R(39,17) { ! para( X, Y, Z, T ), eqangle( Y, X,
% 6.53/6.94 U, W, Z, T, U, W ) }.
% 6.53/6.94 (759) {G1,W10,D2,L2,V3,M2} R(40,38) { ! cyclic( X, Y, Z, Z ), para( Z, X, Z
% 6.53/6.94 , X ) }.
% 6.53/6.94 (811) {G1,W18,D2,L3,V4,M3} R(42,18) { ! coll( X, Y, Z ), cyclic( T, Z, X, Y
% 6.53/6.94 ), ! eqangle( X, Z, X, T, Y, Z, Y, T ) }.
% 6.53/6.94 (3837) {G6,W7,D3,L1,V1,M1} R(94,391);r(387) { coll( skol10( X, skol24,
% 6.53/6.94 skol26 ), skol26, skol24 ) }.
% 6.53/6.94 (3900) {G11,W4,D2,L1,V0,M1} R(3837,429) { coll( skol26, skol26, skol24 )
% 6.53/6.94 }.
% 6.53/6.94 (4032) {G1,W4,D2,L1,V0,M1} R(96,116);r(116) { alpha1( skol26, skol26,
% 6.53/6.94 skol25 ) }.
% 6.53/6.94 (4037) {G2,W7,D3,L1,V1,M1} R(97,4032) { coll( skol11( skol26, X, skol25 ),
% 6.53/6.94 skol25, skol26 ) }.
% 6.53/6.94 (4152) {G11,W4,D2,L1,V0,M1} R(4037,428) { coll( skol26, skol26, skol25 )
% 6.53/6.94 }.
% 6.53/6.94 (4209) {G12,W8,D2,L2,V1,M2} R(4152,2) { ! coll( skol26, skol26, X ), coll(
% 6.53/6.94 skol25, X, skol26 ) }.
% 6.53/6.94 (7934) {G13,W4,D2,L1,V0,M1} R(4209,268) { coll( skol25, skol20, skol26 )
% 6.53/6.94 }.
% 6.53/6.94 (8245) {G14,W4,D2,L1,V0,M1} R(7934,171) { coll( skol20, skol26, skol25 )
% 6.53/6.94 }.
% 6.53/6.94 (12954) {G15,W4,D2,L1,V0,M1} R(217,214);r(8245) { coll( skol20, skol22,
% 6.53/6.94 skol32 ) }.
% 6.53/6.94 (13005) {G16,W4,D2,L1,V0,M1} R(12954,0) { coll( skol20, skol32, skol22 )
% 6.53/6.94 }.
% 6.53/6.94 (13081) {G17,W4,D2,L1,V0,M1} R(13005,213) { coll( skol22, skol26, skol20 )
% 6.53/6.94 }.
% 6.53/6.94 (13124) {G18,W4,D2,L1,V0,M1} R(13081,425) { coll( skol20, skol26, skol22 )
% 6.53/6.94 }.
% 6.53/6.94 (13293) {G19,W4,D2,L1,V0,M1} R(13124,182) { ! coll( skol20, skol26, skol23
% 6.53/6.94 ) }.
% 6.53/6.94 (13325) {G20,W4,D2,L1,V0,M1} R(13293,0) { ! coll( skol20, skol23, skol26 )
% 6.53/6.94 }.
% 6.53/6.94 (14508) {G21,W4,D2,L1,V0,M1} R(283,13325) { ! coll( skol26, skol26, skol23
% 6.53/6.94 ) }.
% 6.53/6.94 (14580) {G22,W4,D2,L1,V1,M1} R(14508,427) { ! coll( skol26, skol23, X ) }.
% 6.53/6.94 (14683) {G23,W5,D2,L1,V1,M1} R(14580,66) { ! para( skol26, skol23, skol26,
% 6.53/6.94 X ) }.
% 6.53/6.94 (15444) {G24,W5,D2,L1,V2,M1} R(14683,226) { ! para( skol26, skol23, X, Y )
% 6.53/6.94 }.
% 6.53/6.94 (17211) {G4,W5,D2,L1,V0,M1} R(362,383) { para( skol24, skol26, skol26,
% 6.53/6.94 skol24 ) }.
% 6.53/6.94 (29194) {G5,W9,D2,L1,V2,M1} R(754,17211) { eqangle( skol26, skol24, X, Y,
% 6.53/6.94 skol26, skol24, X, Y ) }.
% 6.53/6.94 (29316) {G25,W5,D2,L1,V1,M1} R(759,15444) { ! cyclic( skol23, X, skol26,
% 6.53/6.94 skol26 ) }.
% 6.53/6.94 (30429) {G26,W5,D2,L1,V2,M1} R(29316,367);r(15) { ! cyclic( skol23, X, Y,
% 6.53/6.94 skol26 ) }.
% 6.53/6.94 (31143) {G12,W5,D2,L1,V1,M1} R(811,3900);r(29194) { cyclic( X, skol24,
% 6.53/6.94 skol26, skol26 ) }.
% 6.53/6.94 (31400) {G27,W0,D0,L0,V0,M0} R(31143,30429) { }.
% 6.53/6.94
% 6.53/6.94
% 6.53/6.94 % SZS output end Refutation
% 6.53/6.94 found a proof!
% 6.53/6.94
% 6.53/6.94
% 6.53/6.94 Unprocessed initial clauses:
% 6.53/6.94
% 6.53/6.94 (31402) {G0,W8,D2,L2,V3,M2} { ! coll( X, Y, Z ), coll( X, Z, Y ) }.
% 6.53/6.94 (31403) {G0,W8,D2,L2,V3,M2} { ! coll( X, Y, Z ), coll( Y, X, Z ) }.
% 6.53/6.94 (31404) {G0,W12,D2,L3,V4,M3} { ! coll( X, T, Y ), ! coll( X, T, Z ), coll
% 6.53/6.94 ( Y, Z, X ) }.
% 6.53/6.94 (31405) {G0,W10,D2,L2,V4,M2} { ! para( X, Y, Z, T ), para( X, Y, T, Z )
% 6.53/6.94 }.
% 6.53/6.94 (31406) {G0,W10,D2,L2,V4,M2} { ! para( X, Y, Z, T ), para( Z, T, X, Y )
% 6.53/6.94 }.
% 6.53/6.94 (31407) {G0,W15,D2,L3,V6,M3} { ! para( X, Y, U, W ), ! para( U, W, Z, T )
% 6.53/6.94 , para( X, Y, Z, T ) }.
% 6.53/6.94 (31408) {G0,W10,D2,L2,V4,M2} { ! perp( X, Y, Z, T ), perp( X, Y, T, Z )
% 6.53/6.94 }.
% 6.53/6.94 (31409) {G0,W10,D2,L2,V4,M2} { ! perp( X, Y, Z, T ), perp( Z, T, X, Y )
% 6.53/6.94 }.
% 6.53/6.94 (31410) {G0,W15,D2,L3,V6,M3} { ! perp( X, Y, U, W ), ! perp( U, W, Z, T )
% 6.53/6.94 , para( X, Y, Z, T ) }.
% 6.53/6.94 (31411) {G0,W15,D2,L3,V6,M3} { ! para( X, Y, U, W ), ! perp( U, W, Z, T )
% 6.53/6.94 , perp( X, Y, Z, T ) }.
% 6.53/6.94 (31412) {G0,W8,D2,L2,V3,M2} { ! midp( Z, Y, X ), midp( Z, X, Y ) }.
% 6.53/6.94 (31413) {G0,W15,D2,L3,V4,M3} { ! cong( T, X, T, Y ), ! cong( T, X, T, Z )
% 6.53/6.94 , circle( T, X, Y, Z ) }.
% 6.53/6.94 (31414) {G0,W20,D2,L4,V5,M4} { ! cong( U, X, U, Y ), ! cong( U, X, U, Z )
% 6.53/6.94 , ! cong( U, X, U, T ), cyclic( X, Y, Z, T ) }.
% 6.53/6.94 (31415) {G0,W10,D2,L2,V4,M2} { ! cyclic( X, Y, Z, T ), cyclic( X, Y, T, Z
% 6.53/6.94 ) }.
% 6.53/6.94 (31416) {G0,W10,D2,L2,V4,M2} { ! cyclic( X, Y, Z, T ), cyclic( X, Z, Y, T
% 6.53/6.94 ) }.
% 6.53/6.94 (31417) {G0,W10,D2,L2,V4,M2} { ! cyclic( X, Y, Z, T ), cyclic( Y, X, Z, T
% 6.53/6.94 ) }.
% 6.53/6.94 (31418) {G0,W15,D2,L3,V5,M3} { ! cyclic( U, X, Y, Z ), ! cyclic( U, X, Y,
% 6.53/6.94 T ), cyclic( X, Y, Z, T ) }.
% 6.53/6.94 (31419) {G0,W18,D2,L2,V8,M2} { ! eqangle( X, Y, Z, T, U, W, V0, V1 ),
% 6.53/6.94 eqangle( Y, X, Z, T, U, W, V0, V1 ) }.
% 6.53/6.94 (31420) {G0,W18,D2,L2,V8,M2} { ! eqangle( X, Y, Z, T, U, W, V0, V1 ),
% 6.53/6.94 eqangle( Z, T, X, Y, V0, V1, U, W ) }.
% 6.53/6.94 (31421) {G0,W18,D2,L2,V8,M2} { ! eqangle( X, Y, Z, T, U, W, V0, V1 ),
% 6.53/6.94 eqangle( U, W, V0, V1, X, Y, Z, T ) }.
% 6.53/6.94 (31422) {G0,W18,D2,L2,V8,M2} { ! eqangle( X, Y, Z, T, U, W, V0, V1 ),
% 6.53/6.94 eqangle( X, Y, U, W, Z, T, V0, V1 ) }.
% 6.53/6.94 (31423) {G0,W27,D2,L3,V12,M3} { ! eqangle( X, Y, Z, T, V2, V3, V4, V5 ), !
% 6.53/6.94 eqangle( V2, V3, V4, V5, U, W, V0, V1 ), eqangle( X, Y, Z, T, U, W, V0,
% 6.53/6.94 V1 ) }.
% 6.53/6.94 (31424) {G0,W10,D2,L2,V4,M2} { ! cong( X, Y, Z, T ), cong( X, Y, T, Z )
% 6.53/6.94 }.
% 6.53/6.94 (31425) {G0,W10,D2,L2,V4,M2} { ! cong( X, Y, Z, T ), cong( Z, T, X, Y )
% 6.53/6.94 }.
% 6.53/6.94 (31426) {G0,W15,D2,L3,V6,M3} { ! cong( X, Y, U, W ), ! cong( U, W, Z, T )
% 6.53/6.94 , cong( X, Y, Z, T ) }.
% 6.53/6.94 (31427) {G0,W18,D2,L2,V8,M2} { ! eqratio( X, Y, Z, T, U, W, V0, V1 ),
% 6.53/6.94 eqratio( Y, X, Z, T, U, W, V0, V1 ) }.
% 6.53/6.94 (31428) {G0,W18,D2,L2,V8,M2} { ! eqratio( X, Y, Z, T, U, W, V0, V1 ),
% 6.53/6.94 eqratio( Z, T, X, Y, V0, V1, U, W ) }.
% 6.53/6.94 (31429) {G0,W18,D2,L2,V8,M2} { ! eqratio( X, Y, Z, T, U, W, V0, V1 ),
% 6.53/6.94 eqratio( U, W, V0, V1, X, Y, Z, T ) }.
% 6.53/6.94 (31430) {G0,W18,D2,L2,V8,M2} { ! eqratio( X, Y, Z, T, U, W, V0, V1 ),
% 6.53/6.94 eqratio( X, Y, U, W, Z, T, V0, V1 ) }.
% 6.53/6.94 (31431) {G0,W27,D2,L3,V12,M3} { ! eqratio( X, Y, Z, T, V2, V3, V4, V5 ), !
% 6.53/6.94 eqratio( V2, V3, V4, V5, U, W, V0, V1 ), eqratio( X, Y, Z, T, U, W, V0,
% 6.53/6.94 V1 ) }.
% 6.53/6.94 (31432) {G0,W14,D2,L2,V6,M2} { ! simtri( X, Z, Y, T, W, U ), simtri( X, Y
% 6.53/6.94 , Z, T, U, W ) }.
% 6.53/6.94 (31433) {G0,W14,D2,L2,V6,M2} { ! simtri( Y, X, Z, U, T, W ), simtri( X, Y
% 6.53/6.94 , Z, T, U, W ) }.
% 6.53/6.94 (31434) {G0,W14,D2,L2,V6,M2} { ! simtri( T, U, W, X, Y, Z ), simtri( X, Y
% 6.53/6.94 , Z, T, U, W ) }.
% 6.53/6.94 (31435) {G0,W21,D2,L3,V9,M3} { ! simtri( X, Y, Z, V0, V1, V2 ), ! simtri(
% 6.53/6.94 V0, V1, V2, T, U, W ), simtri( X, Y, Z, T, U, W ) }.
% 6.53/6.94 (31436) {G0,W14,D2,L2,V6,M2} { ! contri( X, Z, Y, T, W, U ), contri( X, Y
% 6.53/6.94 , Z, T, U, W ) }.
% 6.53/6.94 (31437) {G0,W14,D2,L2,V6,M2} { ! contri( Y, X, Z, U, T, W ), contri( X, Y
% 6.53/6.94 , Z, T, U, W ) }.
% 6.53/6.94 (31438) {G0,W14,D2,L2,V6,M2} { ! contri( T, U, W, X, Y, Z ), contri( X, Y
% 6.53/6.94 , Z, T, U, W ) }.
% 6.53/6.94 (31439) {G0,W21,D2,L3,V9,M3} { ! contri( X, Y, Z, V0, V1, V2 ), ! contri(
% 6.53/6.94 V0, V1, V2, T, U, W ), contri( X, Y, Z, T, U, W ) }.
% 6.53/6.94 (31440) {G0,W14,D2,L2,V6,M2} { ! eqangle( X, Y, U, W, Z, T, U, W ), para(
% 6.53/6.94 X, Y, Z, T ) }.
% 6.53/6.94 (31441) {G0,W14,D2,L2,V6,M2} { ! para( X, Y, Z, T ), eqangle( X, Y, U, W,
% 6.53/6.94 Z, T, U, W ) }.
% 6.53/6.94 (31442) {G0,W14,D2,L2,V4,M2} { ! cyclic( X, Y, Z, T ), eqangle( Z, X, Z, Y
% 6.53/6.94 , T, X, T, Y ) }.
% 6.53/6.94 (31443) {G0,W18,D2,L3,V4,M3} { ! eqangle( Z, X, Z, Y, T, X, T, Y ), coll(
% 6.53/6.94 Z, T, X ), cyclic( X, Y, Z, T ) }.
% 6.53/6.94 (31444) {G0,W18,D2,L3,V4,M3} { ! eqangle( Z, X, Z, Y, T, X, T, Y ), ! coll
% 6.53/6.94 ( Z, T, Y ), cyclic( X, Y, Z, T ) }.
% 6.53/6.94 (31445) {G0,W29,D2,L5,V6,M5} { ! cyclic( X, Y, U, Z ), ! cyclic( X, Y, U,
% 6.53/6.94 T ), ! cyclic( X, Y, U, W ), ! eqangle( U, X, U, Y, W, Z, W, T ), cong( X
% 6.53/6.94 , Y, Z, T ) }.
% 6.53/6.94 (31446) {G0,W13,D2,L3,V5,M3} { ! midp( Z, U, X ), ! midp( T, U, Y ), para
% 6.53/6.94 ( Z, T, X, Y ) }.
% 6.53/6.94 (31447) {G0,W17,D2,L4,V5,M4} { ! midp( U, X, T ), ! para( U, Z, T, Y ), !
% 6.53/6.94 coll( Z, X, Y ), midp( Z, X, Y ) }.
% 6.53/6.94 (31448) {G0,W14,D2,L2,V3,M2} { ! cong( Z, X, Z, Y ), eqangle( Z, X, X, Y,
% 6.53/6.94 X, Y, Z, Y ) }.
% 6.53/6.94 (31449) {G0,W18,D2,L3,V3,M3} { ! eqangle( Z, X, X, Y, X, Y, Z, Y ), coll(
% 6.53/6.94 Z, X, Y ), cong( Z, X, Z, Y ) }.
% 6.53/6.94 (31450) {G0,W19,D2,L3,V5,M3} { ! circle( U, X, Y, Z ), ! perp( U, X, X, T
% 6.53/6.94 ), eqangle( X, T, X, Y, Z, X, Z, Y ) }.
% 6.53/6.94 (31451) {G0,W19,D2,L3,V5,M3} { ! circle( Y, X, T, U ), ! eqangle( X, Z, X
% 6.53/6.94 , T, U, X, U, T ), perp( Y, X, X, Z ) }.
% 6.53/6.94 (31452) {G0,W18,D2,L3,V5,M3} { ! circle( T, X, Y, Z ), ! midp( U, Y, Z ),
% 6.53/6.94 eqangle( X, Y, X, Z, T, Y, T, U ) }.
% 6.53/6.94 (31453) {G0,W22,D2,L4,V5,M4} { ! circle( U, T, X, Y ), ! coll( Z, X, Y ),
% 6.53/6.94 ! eqangle( T, X, T, Y, U, X, U, Z ), midp( Z, X, Y ) }.
% 6.53/6.94 (31454) {G0,W14,D2,L3,V4,M3} { ! perp( X, Y, Y, T ), ! midp( Z, X, T ),
% 6.53/6.94 cong( X, Z, Y, Z ) }.
% 6.53/6.94 (31455) {G0,W14,D2,L3,V4,M3} { ! circle( T, X, Y, Z ), ! coll( T, X, Z ),
% 6.53/6.94 perp( X, Y, Y, Z ) }.
% 6.53/6.94 (31456) {G0,W19,D2,L3,V4,M3} { ! cyclic( X, Y, Z, T ), ! para( X, Y, Z, T
% 6.53/6.94 ), eqangle( X, T, Z, T, Z, T, Z, Y ) }.
% 6.53/6.94 (31457) {G0,W14,D2,L3,V4,M3} { ! midp( T, X, Y ), ! perp( Z, T, X, Y ),
% 6.53/6.94 cong( Z, X, Z, Y ) }.
% 6.53/6.94 (31458) {G0,W15,D2,L3,V4,M3} { ! cong( X, Z, Y, Z ), ! cong( X, T, Y, T )
% 6.53/6.94 , perp( X, Y, Z, T ) }.
% 6.53/6.94 (31459) {G0,W20,D2,L4,V4,M4} { ! cong( X, Y, T, Y ), ! cong( X, Z, T, Z )
% 6.53/6.94 , ! cyclic( X, T, Y, Z ), perp( Y, X, X, Z ) }.
% 6.53/6.94 (31460) {G0,W29,D2,L4,V6,M4} { ! eqangle( X, Y, Y, Z, T, U, U, W ), !
% 6.53/6.94 eqangle( X, Z, Y, Z, T, W, U, W ), coll( X, Y, Z ), simtri( X, Y, Z, T, U
% 6.53/6.94 , W ) }.
% 6.53/6.94 (31461) {G0,W16,D2,L2,V6,M2} { ! simtri( X, Y, Z, T, U, W ), eqratio( X, Y
% 6.53/6.94 , X, Z, T, U, T, W ) }.
% 6.53/6.94 (31462) {G0,W16,D2,L2,V6,M2} { ! simtri( X, Y, Z, T, U, W ), eqangle( X, Y
% 6.53/6.94 , Y, Z, T, U, U, W ) }.
% 6.53/6.94 (31463) {G0,W19,D2,L3,V6,M3} { ! simtri( X, Y, Z, T, U, W ), ! cong( X, Y
% 6.53/6.94 , T, U ), contri( X, Y, Z, T, U, W ) }.
% 6.53/6.94 (31464) {G0,W12,D2,L2,V6,M2} { ! contri( X, Y, U, Z, T, W ), cong( X, Y, Z
% 6.53/6.94 , T ) }.
% 6.53/6.94 (31465) {G0,W13,D2,L3,V5,M3} { ! midp( U, X, Y ), ! midp( U, Z, T ), para
% 6.53/6.94 ( X, Z, Y, T ) }.
% 6.53/6.94 (31466) {G0,W18,D2,L4,V5,M4} { ! midp( Z, T, U ), ! para( T, X, U, Y ), !
% 6.53/6.94 para( T, Y, U, X ), midp( Z, X, Y ) }.
% 6.53/6.94 (31467) {G0,W22,D2,L4,V5,M4} { ! para( X, Y, Z, T ), ! coll( U, X, Z ), !
% 6.53/6.94 coll( U, Y, T ), eqratio( U, X, X, Z, U, Y, Y, T ) }.
% 6.53/6.94 (31468) {G0,W9,D2,L2,V3,M2} { ! para( X, Y, X, Z ), coll( X, Y, Z ) }.
% 6.53/6.94 (31469) {G0,W13,D2,L3,V3,M3} { ! cong( X, Y, X, Z ), ! coll( X, Y, Z ),
% 6.53/6.94 midp( X, Y, Z ) }.
% 6.53/6.94 (31470) {G0,W9,D2,L2,V3,M2} { ! midp( X, Y, Z ), cong( X, Y, X, Z ) }.
% 6.53/6.94 (31471) {G0,W8,D2,L2,V3,M2} { ! midp( X, Y, Z ), coll( X, Y, Z ) }.
% 6.53/6.94 (31472) {G0,W17,D2,L3,V6,M3} { ! midp( U, X, Y ), ! midp( W, Z, T ),
% 6.53/6.94 eqratio( U, X, X, Y, W, Z, Z, T ) }.
% 6.53/6.94 (31473) {G0,W19,D2,L3,V4,M3} { ! eqangle( X, Y, Z, T, Z, T, X, Y ), para(
% 6.53/6.94 X, Y, Z, T ), perp( X, Y, Z, T ) }.
% 6.53/6.94 (31474) {G0,W19,D2,L3,V4,M3} { ! eqangle( X, Y, Z, T, Z, T, X, Y ), perp(
% 6.53/6.94 X, Y, Z, T ), para( X, Y, Z, T ) }.
% 6.53/6.94 (31475) {G0,W19,D2,L3,V8,M3} { ! eqangle( X, Y, Z, T, U, W, V0, V1 ), !
% 6.53/6.94 para( U, W, V0, V1 ), para( X, Y, Z, T ) }.
% 6.53/6.94 (31476) {G0,W19,D2,L3,V8,M3} { ! eqangle( X, Y, Z, T, U, W, V0, V1 ), !
% 6.53/6.94 perp( U, W, V0, V1 ), perp( X, Y, Z, T ) }.
% 6.53/6.94 (31477) {G0,W19,D2,L3,V8,M3} { ! eqratio( X, Y, Z, T, U, W, V0, V1 ), !
% 6.53/6.94 cong( U, W, V0, V1 ), cong( X, Y, Z, T ) }.
% 6.53/6.94 (31478) {G0,W22,D3,L3,V6,M3} { ! perp( Z, Y, Y, X ), ! eqangle( T, Z, Y, Z
% 6.53/6.94 , Y, Z, X, Z ), coll( skol1( U, W, Z, T ), Z, T ) }.
% 6.53/6.94 (31479) {G0,W22,D3,L3,V4,M3} { ! perp( Z, Y, Y, X ), ! eqangle( T, Z, Y, Z
% 6.53/6.94 , Y, Z, X, Z ), coll( skol1( X, Y, Z, T ), X, Y ) }.
% 6.53/6.94 (31480) {G0,W22,D3,L3,V6,M3} { ! cong( Z, X, Z, Y ), ! eqangle( X, Z, Z, T
% 6.53/6.94 , Z, T, Z, Y ), coll( skol2( U, W, Z, T ), Z, T ) }.
% 6.53/6.94 (31481) {G0,W22,D3,L3,V4,M3} { ! cong( Z, X, Z, Y ), ! eqangle( X, Z, Z, T
% 6.53/6.94 , Z, T, Z, Y ), coll( Y, X, skol2( X, Y, Z, T ) ) }.
% 6.53/6.94 (31482) {G0,W22,D3,L3,V6,M3} { ! perp( Z, T, X, Y ), ! eqangle( X, Z, Z, T
% 6.53/6.94 , Z, T, Z, Y ), coll( skol3( U, W, Z, T ), Z, T ) }.
% 6.53/6.94 (31483) {G0,W22,D3,L3,V4,M3} { ! perp( Z, T, X, Y ), ! eqangle( X, Z, Z, T
% 6.53/6.94 , Z, T, Z, Y ), coll( Y, X, skol3( X, Y, Z, T ) ) }.
% 6.53/6.94 (31484) {G0,W18,D3,L3,V6,M3} { ! perp( Z, T, X, Y ), ! cong( Z, X, Z, Y )
% 6.53/6.94 , coll( skol4( U, W, Z, T ), Z, T ) }.
% 6.53/6.94 (31485) {G0,W18,D3,L3,V4,M3} { ! perp( Z, T, X, Y ), ! cong( Z, X, Z, Y )
% 6.53/6.94 , coll( Y, X, skol4( X, Y, Z, T ) ) }.
% 6.53/6.94 (31486) {G0,W22,D3,L3,V6,M3} { ! eqangle( X, Z, Y, Z, X, T, Y, U ), coll(
% 6.53/6.94 X, Y, Z ), cyclic( T, Y, Z, skol5( W, Y, Z, T ) ) }.
% 6.53/6.94 (31487) {G0,W30,D3,L3,V5,M3} { ! eqangle( X, Z, Y, Z, X, T, Y, U ), coll(
% 6.53/6.94 X, Y, Z ), eqangle( X, Z, Y, Z, X, skol5( X, Y, Z, T ), Y, skol5( X, Y, Z
% 6.53/6.94 , T ) ) }.
% 6.53/6.94 (31488) {G0,W18,D3,L3,V10,M3} { ! midp( U, X, Y ), ! midp( W, Z, T ), midp
% 6.53/6.94 ( skol6( X, V0, V1, T, V2, V3 ), X, T ) }.
% 6.53/6.94 (31489) {G0,W19,D3,L3,V8,M3} { ! midp( U, X, Y ), ! midp( W, Z, T ), para
% 6.53/6.94 ( skol6( X, V0, Z, T, V1, W ), W, X, Z ) }.
% 6.53/6.94 (31490) {G0,W19,D3,L3,V6,M3} { ! midp( U, X, Y ), ! midp( W, Z, T ), para
% 6.53/6.94 ( skol6( X, Y, Z, T, U, W ), U, Y, T ) }.
% 6.53/6.94 (31491) {G0,W22,D3,L5,V7,M5} { ! midp( Z, X, Y ), ! midp( W, T, U ), !
% 6.53/6.94 coll( T, X, Y ), ! coll( U, X, Y ), midp( skol7( X, V0 ), X, V0 ) }.
% 6.53/6.94 (31492) {G0,W26,D3,L5,V8,M5} { ! midp( T, X, U ), ! para( X, W, Z, T ), !
% 6.53/6.94 para( X, W, U, Y ), ! coll( W, Y, Z ), coll( skol8( V0, V1, Z, T ), T, Z
% 6.53/6.94 ) }.
% 6.53/6.94 (31493) {G0,W26,D3,L5,V6,M5} { ! midp( T, X, U ), ! para( X, W, Z, T ), !
% 6.53/6.94 para( X, W, U, Y ), ! coll( W, Y, Z ), coll( skol8( X, Y, Z, T ), X, Y )
% 6.53/6.94 }.
% 6.53/6.94 (31494) {G0,W19,D3,L3,V7,M3} { ! cong( T, Z, T, U ), ! perp( X, Y, Y, T )
% 6.53/6.94 , cong( T, Z, T, skol9( W, V0, Z, T ) ) }.
% 6.53/6.94 (31495) {G0,W19,D3,L3,V6,M3} { ! cong( T, Z, T, U ), ! perp( X, Y, Y, T )
% 6.53/6.94 , cong( Y, Z, Y, skol9( W, Y, Z, T ) ) }.
% 6.53/6.94 (31496) {G0,W19,D3,L3,V5,M3} { ! cong( T, Z, T, U ), ! perp( X, Y, Y, T )
% 6.53/6.94 , para( skol9( X, Y, Z, T ), Z, X, Y ) }.
% 6.53/6.94 (31497) {G0,W17,D3,L3,V5,M3} { ! perp( X, T, Y, Z ), ! perp( Y, T, X, Z )
% 6.53/6.94 , coll( skol10( U, Y, Z ), Z, Y ) }.
% 6.53/6.94 (31498) {G0,W18,D3,L3,V4,M3} { ! perp( X, T, Y, Z ), ! perp( Y, T, X, Z )
% 6.53/6.94 , perp( X, skol10( X, Y, Z ), Z, Y ) }.
% 6.53/6.94 (31499) {G0,W14,D2,L3,V4,M3} { ! perp( X, T, Y, Z ), ! perp( Y, T, X, Z )
% 6.53/6.94 , alpha1( X, Y, Z ) }.
% 6.53/6.94 (31500) {G0,W11,D3,L2,V4,M2} { ! alpha1( X, Y, Z ), coll( skol11( X, T, Z
% 6.53/6.94 ), Z, X ) }.
% 6.53/6.94 (31501) {G0,W12,D3,L2,V3,M2} { ! alpha1( X, Y, Z ), perp( Y, skol11( X, Y
% 6.53/6.94 , Z ), Z, X ) }.
% 6.53/6.94 (31502) {G0,W13,D2,L3,V4,M3} { ! coll( T, Z, X ), ! perp( Y, T, Z, X ),
% 6.53/6.94 alpha1( X, Y, Z ) }.
% 6.53/6.94 (31503) {G0,W12,D3,L2,V4,M2} { ! circle( Y, X, Z, T ), perp( skol12( X, Y
% 6.53/6.94 ), X, X, Y ) }.
% 6.53/6.94 (31504) {G0,W28,D3,L5,V8,M5} { ! circle( W, X, Y, Z ), ! cong( W, X, W, T
% 6.53/6.94 ), ! cong( U, X, U, Y ), W = U, alpha2( X, Z, U, skol13( X, V0, Z, V1, U
% 6.53/6.94 ) ) }.
% 6.53/6.94 (31505) {G0,W26,D3,L5,V8,M5} { ! circle( W, X, Y, Z ), ! cong( W, X, W, T
% 6.53/6.94 ), ! cong( U, X, U, Y ), W = U, coll( skol21( V0, Y, T, V1 ), Y, T ) }.
% 6.53/6.94 (31506) {G0,W27,D3,L5,V6,M5} { ! circle( W, X, Y, Z ), ! cong( W, X, W, T
% 6.53/6.94 ), ! cong( U, X, U, Y ), W = U, cong( skol21( X, Y, T, U ), U, U, X )
% 6.53/6.94 }.
% 6.53/6.94 (31507) {G0,W9,D2,L2,V4,M2} { ! alpha2( X, Y, Z, T ), coll( T, X, Y ) }.
% 6.53/6.94 (31508) {G0,W10,D2,L2,V4,M2} { ! alpha2( X, Y, Z, T ), cong( T, Z, Z, X )
% 6.53/6.94 }.
% 6.53/6.94 (31509) {G0,W14,D2,L3,V4,M3} { ! coll( T, X, Y ), ! cong( T, Z, Z, X ),
% 6.53/6.94 alpha2( X, Y, Z, T ) }.
% 6.53/6.94 (31510) {G0,W22,D3,L4,V5,M4} { ! cyclic( X, Y, Z, T ), ! para( X, Y, Z, T
% 6.53/6.94 ), ! midp( U, X, Y ), circle( skol14( X, Y, Z ), X, Y, Z ) }.
% 6.53/6.94 (31511) {G0,W18,D3,L3,V4,M3} { ! perp( X, Z, Z, Y ), ! cyclic( X, Y, Z, T
% 6.53/6.94 ), circle( skol15( X, Y, Z ), X, Y, Z ) }.
% 6.53/6.94 (31512) {G0,W16,D3,L3,V6,M3} { ! perp( X, U, U, T ), ! coll( T, Y, Z ),
% 6.53/6.94 coll( skol16( W, Y, Z ), Y, Z ) }.
% 6.53/6.94 (31513) {G0,W17,D3,L3,V5,M3} { ! perp( X, U, U, T ), ! coll( T, Y, Z ),
% 6.53/6.94 perp( skol16( X, Y, Z ), X, Y, Z ) }.
% 6.53/6.94 (31514) {G0,W20,D3,L4,V5,M4} { ! perp( X, Z, X, Y ), ! perp( Y, X, Y, T )
% 6.53/6.94 , ! midp( U, Z, T ), midp( skol17( X, Y ), X, Y ) }.
% 6.53/6.94 (31515) {G0,W16,D3,L3,V3,M3} { ! cong( Y, X, Y, Z ), ! perp( X, Y, Y, Z )
% 6.53/6.94 , coll( X, Y, skol18( X, Y ) ) }.
% 6.53/6.94 (31516) {G0,W17,D3,L3,V3,M3} { ! cong( Y, X, Y, Z ), ! perp( X, Y, Y, Z )
% 6.53/6.94 , cong( Y, X, Y, skol18( X, Y ) ) }.
% 6.53/6.94 (31517) {G0,W25,D3,L5,V8,M5} { ! para( U, W, X, Y ), ! coll( Z, U, X ), !
% 6.53/6.94 coll( Z, W, Y ), ! coll( T, U, W ), coll( Z, T, skol19( V0, V1, Z, T ) )
% 6.53/6.94 }.
% 6.53/6.94 (31518) {G0,W25,D3,L5,V6,M5} { ! para( U, W, X, Y ), ! coll( Z, U, X ), !
% 6.53/6.94 coll( Z, W, Y ), ! coll( T, U, W ), coll( skol19( X, Y, Z, T ), X, Y )
% 6.53/6.94 }.
% 6.53/6.94 (31519) {G0,W5,D2,L1,V0,M1} { perp( skol26, skol24, skol26, skol25 ) }.
% 6.53/6.94 (31520) {G0,W5,D2,L1,V0,M1} { circle( skol24, skol26, skol27, skol28 ) }.
% 6.53/6.94 (31521) {G0,W5,D2,L1,V0,M1} { circle( skol25, skol26, skol29, skol30 ) }.
% 6.53/6.94 (31522) {G0,W5,D2,L1,V0,M1} { circle( skol24, skol26, skol20, skol31 ) }.
% 6.53/6.94 (31523) {G0,W4,D2,L1,V0,M1} { coll( skol26, skol20, skol32 ) }.
% 6.53/6.94 (31524) {G0,W5,D2,L1,V0,M1} { circle( skol25, skol26, skol32, skol33 ) }.
% 6.53/6.94 (31525) {G0,W4,D2,L1,V0,M1} { coll( skol25, skol32, skol22 ) }.
% 6.53/6.94 (31526) {G0,W5,D2,L1,V0,M1} { circle( skol25, skol26, skol22, skol34 ) }.
% 6.53/6.94 (31527) {G0,W5,D2,L1,V0,M1} { circle( skol24, skol26, skol23, skol35 ) }.
% 6.53/6.94 (31528) {G0,W5,D2,L1,V0,M1} { circle( skol25, skol26, skol23, skol36 ) }.
% 6.53/6.94 (31529) {G0,W4,D2,L1,V0,M1} { ! coll( skol20, skol22, skol23 ) }.
% 6.53/6.94
% 6.53/6.94
% 6.53/6.94 Total Proof:
% 6.53/6.94
% 6.53/6.94 subsumption: (0) {G0,W8,D2,L2,V3,M2} I { ! coll( X, Y, Z ), coll( X, Z, Y )
% 6.53/6.94 }.
% 6.53/6.94 parent0: (31402) {G0,W8,D2,L2,V3,M2} { ! coll( X, Y, Z ), coll( X, Z, Y )
% 6.53/6.94 }.
% 6.53/6.94 substitution0:
% 6.53/6.94 X := X
% 6.53/6.94 Y := Y
% 6.53/6.94 Z := Z
% 6.53/6.94 end
% 6.53/6.94 permutation0:
% 6.53/6.94 0 ==> 0
% 6.53/6.94 1 ==> 1
% 6.53/6.94 end
% 6.53/6.94
% 6.53/6.94 subsumption: (1) {G0,W8,D2,L2,V3,M2} I { ! coll( X, Y, Z ), coll( Y, X, Z )
% 6.53/6.94 }.
% 6.53/6.94 parent0: (31403) {G0,W8,D2,L2,V3,M2} { ! coll( X, Y, Z ), coll( Y, X, Z )
% 6.53/6.94 }.
% 6.53/6.94 substitution0:
% 6.53/6.94 X := X
% 6.53/6.94 Y := Y
% 6.53/6.94 Z := Z
% 6.53/6.94 end
% 6.53/6.94 permutation0:
% 6.53/6.94 0 ==> 0
% 6.53/6.94 1 ==> 1
% 6.53/6.94 end
% 6.53/6.94
% 6.53/6.94 subsumption: (2) {G0,W12,D2,L3,V4,M3} I { ! coll( X, T, Y ), ! coll( X, T,
% 6.53/6.94 Z ), coll( Y, Z, X ) }.
% 6.53/6.94 parent0: (31404) {G0,W12,D2,L3,V4,M3} { ! coll( X, T, Y ), ! coll( X, T, Z
% 6.53/6.94 ), coll( Y, Z, X ) }.
% 6.53/6.94 substitution0:
% 6.53/6.94 X := X
% 6.53/6.94 Y := Y
% 6.53/6.94 Z := Z
% 6.53/6.94 T := T
% 6.53/6.94 end
% 6.53/6.94 permutation0:
% 6.53/6.94 0 ==> 0
% 6.53/6.94 1 ==> 1
% 6.53/6.94 2 ==> 2
% 6.53/6.94 end
% 6.53/6.94
% 6.53/6.94 subsumption: (4) {G0,W10,D2,L2,V4,M2} I { ! para( X, Y, Z, T ), para( Z, T
% 6.53/6.94 , X, Y ) }.
% 6.53/6.94 parent0: (31406) {G0,W10,D2,L2,V4,M2} { ! para( X, Y, Z, T ), para( Z, T,
% 6.53/6.94 X, Y ) }.
% 6.53/6.94 substitution0:
% 6.53/6.94 X := X
% 6.53/6.94 Y := Y
% 6.53/6.94 Z := Z
% 6.53/6.94 T := T
% 6.53/6.94 end
% 6.53/6.94 permutation0:
% 6.53/6.94 0 ==> 0
% 6.53/6.94 1 ==> 1
% 6.53/6.94 end
% 6.53/6.94
% 6.53/6.94 subsumption: (5) {G0,W15,D2,L3,V6,M3} I { ! para( X, Y, U, W ), ! para( U,
% 6.53/6.94 W, Z, T ), para( X, Y, Z, T ) }.
% 6.53/6.94 parent0: (31407) {G0,W15,D2,L3,V6,M3} { ! para( X, Y, U, W ), ! para( U, W
% 6.53/6.94 , Z, T ), para( X, Y, Z, T ) }.
% 6.53/6.94 substitution0:
% 6.53/6.94 X := X
% 6.53/6.94 Y := Y
% 6.53/6.94 Z := Z
% 6.53/6.94 T := T
% 6.53/6.94 U := U
% 6.53/6.94 W := W
% 6.53/6.94 end
% 6.53/6.94 permutation0:
% 6.53/6.94 0 ==> 0
% 6.53/6.94 1 ==> 1
% 6.53/6.94 2 ==> 2
% 6.53/6.94 end
% 6.53/6.94
% 6.53/6.94 subsumption: (6) {G0,W10,D2,L2,V4,M2} I { ! perp( X, Y, Z, T ), perp( X, Y
% 6.53/6.94 , T, Z ) }.
% 6.53/6.94 parent0: (31408) {G0,W10,D2,L2,V4,M2} { ! perp( X, Y, Z, T ), perp( X, Y,
% 6.53/6.94 T, Z ) }.
% 6.53/6.94 substitution0:
% 6.53/6.94 X := X
% 6.53/6.94 Y := Y
% 6.53/6.94 Z := Z
% 6.53/6.94 T := T
% 6.53/6.94 end
% 6.53/6.94 permutation0:
% 6.53/6.94 0 ==> 0
% 6.53/6.94 1 ==> 1
% 6.53/6.94 end
% 6.53/6.94
% 6.53/6.94 subsumption: (7) {G0,W10,D2,L2,V4,M2} I { ! perp( X, Y, Z, T ), perp( Z, T
% 6.53/6.94 , X, Y ) }.
% 6.53/6.94 parent0: (31409) {G0,W10,D2,L2,V4,M2} { ! perp( X, Y, Z, T ), perp( Z, T,
% 6.53/6.94 X, Y ) }.
% 6.53/6.94 substitution0:
% 6.53/6.94 X := X
% 6.53/6.94 Y := Y
% 6.53/6.94 Z := Z
% 6.53/6.94 T := T
% 6.53/6.94 end
% 6.53/6.94 permutation0:
% 6.53/6.94 0 ==> 0
% 6.53/6.94 1 ==> 1
% 6.53/6.94 end
% 6.53/6.94
% 6.53/6.94 subsumption: (8) {G0,W15,D2,L3,V6,M3} I { ! perp( X, Y, U, W ), ! perp( U,
% 6.53/6.94 W, Z, T ), para( X, Y, Z, T ) }.
% 6.53/6.94 parent0: (31410) {G0,W15,D2,L3,V6,M3} { ! perp( X, Y, U, W ), ! perp( U, W
% 6.53/6.94 , Z, T ), para( X, Y, Z, T ) }.
% 6.53/6.94 substitution0:
% 6.53/6.94 X := X
% 6.53/6.94 Y := Y
% 6.53/6.94 Z := Z
% 6.53/6.94 T := T
% 6.53/6.94 U := U
% 6.53/6.94 W := W
% 6.53/6.94 end
% 6.53/6.94 permutation0:
% 6.53/6.94 0 ==> 0
% 6.53/6.94 1 ==> 1
% 6.53/6.94 2 ==> 2
% 6.53/6.94 end
% 6.53/6.94
% 6.53/6.94 subsumption: (15) {G0,W10,D2,L2,V4,M2} I { ! cyclic( X, Y, Z, T ), cyclic(
% 6.53/6.94 Y, X, Z, T ) }.
% 6.53/6.94 parent0: (31417) {G0,W10,D2,L2,V4,M2} { ! cyclic( X, Y, Z, T ), cyclic( Y
% 6.53/6.94 , X, Z, T ) }.
% 6.53/6.94 substitution0:
% 6.53/6.94 X := X
% 6.53/6.94 Y := Y
% 6.53/6.94 Z := Z
% 6.53/6.94 T := T
% 6.53/6.94 end
% 6.53/6.94 permutation0:
% 6.53/6.94 0 ==> 0
% 6.53/6.94 1 ==> 1
% 6.53/6.94 end
% 6.53/6.94
% 6.53/6.94 subsumption: (16) {G0,W15,D2,L3,V5,M3} I { ! cyclic( U, X, Y, Z ), ! cyclic
% 6.53/6.94 ( U, X, Y, T ), cyclic( X, Y, Z, T ) }.
% 6.53/6.94 parent0: (31418) {G0,W15,D2,L3,V5,M3} { ! cyclic( U, X, Y, Z ), ! cyclic(
% 6.53/6.94 U, X, Y, T ), cyclic( X, Y, Z, T ) }.
% 6.53/6.94 substitution0:
% 6.53/6.94 X := X
% 6.53/6.94 Y := Y
% 6.53/6.94 Z := Z
% 6.53/6.94 T := T
% 6.53/6.94 U := U
% 6.53/6.94 end
% 6.53/6.94 permutation0:
% 6.53/6.94 0 ==> 0
% 6.53/6.94 1 ==> 1
% 6.53/6.94 2 ==> 2
% 6.53/6.94 end
% 6.53/6.94
% 6.53/6.94 subsumption: (17) {G0,W18,D2,L2,V8,M2} I { ! eqangle( X, Y, Z, T, U, W, V0
% 6.53/6.94 , V1 ), eqangle( Y, X, Z, T, U, W, V0, V1 ) }.
% 6.53/6.94 parent0: (31419) {G0,W18,D2,L2,V8,M2} { ! eqangle( X, Y, Z, T, U, W, V0,
% 6.53/6.94 V1 ), eqangle( Y, X, Z, T, U, W, V0, V1 ) }.
% 6.53/6.94 substitution0:
% 6.53/6.94 X := X
% 6.53/6.94 Y := Y
% 6.53/6.94 Z := Z
% 6.53/6.94 T := T
% 6.53/6.94 U := U
% 6.53/6.94 W := W
% 6.53/6.94 V0 := V0
% 6.53/6.94 V1 := V1
% 6.53/6.94 end
% 6.53/6.94 permutation0:
% 6.53/6.94 0 ==> 0
% 6.53/6.94 1 ==> 1
% 6.53/6.94 end
% 6.53/6.94
% 6.53/6.94 subsumption: (18) {G0,W18,D2,L2,V8,M2} I { ! eqangle( X, Y, Z, T, U, W, V0
% 6.53/6.94 , V1 ), eqangle( Z, T, X, Y, V0, V1, U, W ) }.
% 6.53/6.94 parent0: (31420) {G0,W18,D2,L2,V8,M2} { ! eqangle( X, Y, Z, T, U, W, V0,
% 6.53/6.94 V1 ), eqangle( Z, T, X, Y, V0, V1, U, W ) }.
% 6.53/6.94 substitution0:
% 6.53/6.94 X := X
% 6.53/6.94 Y := Y
% 6.53/6.94 Z := Z
% 6.53/6.94 T := T
% 6.53/6.94 U := U
% 6.53/6.94 W := W
% 6.53/6.94 V0 := V0
% 6.53/6.95 V1 := V1
% 6.53/6.95 end
% 6.53/6.95 permutation0:
% 6.53/6.95 0 ==> 0
% 6.53/6.95 1 ==> 1
% 6.53/6.95 end
% 6.53/6.95
% 6.53/6.95 subsumption: (38) {G0,W14,D2,L2,V6,M2} I { ! eqangle( X, Y, U, W, Z, T, U,
% 6.53/6.95 W ), para( X, Y, Z, T ) }.
% 6.53/6.95 parent0: (31440) {G0,W14,D2,L2,V6,M2} { ! eqangle( X, Y, U, W, Z, T, U, W
% 6.53/6.95 ), para( X, Y, Z, T ) }.
% 6.53/6.95 substitution0:
% 6.53/6.95 X := X
% 6.53/6.95 Y := Y
% 6.53/6.95 Z := Z
% 6.53/6.95 T := T
% 6.53/6.95 U := U
% 6.53/6.95 W := W
% 6.53/6.95 end
% 6.53/6.95 permutation0:
% 6.53/6.95 0 ==> 0
% 6.53/6.95 1 ==> 1
% 6.53/6.95 end
% 6.53/6.95
% 6.53/6.95 subsumption: (39) {G0,W14,D2,L2,V6,M2} I { ! para( X, Y, Z, T ), eqangle( X
% 6.53/6.95 , Y, U, W, Z, T, U, W ) }.
% 6.53/6.95 parent0: (31441) {G0,W14,D2,L2,V6,M2} { ! para( X, Y, Z, T ), eqangle( X,
% 6.53/6.95 Y, U, W, Z, T, U, W ) }.
% 6.53/6.95 substitution0:
% 6.53/6.95 X := X
% 6.53/6.95 Y := Y
% 6.53/6.95 Z := Z
% 6.53/6.95 T := T
% 6.53/6.95 U := U
% 6.53/6.95 W := W
% 6.53/6.95 end
% 6.53/6.95 permutation0:
% 6.53/6.95 0 ==> 0
% 6.53/6.95 1 ==> 1
% 6.53/6.95 end
% 6.53/6.95
% 6.53/6.95 subsumption: (40) {G0,W14,D2,L2,V4,M2} I { ! cyclic( X, Y, Z, T ), eqangle
% 6.53/6.95 ( Z, X, Z, Y, T, X, T, Y ) }.
% 6.53/6.95 parent0: (31442) {G0,W14,D2,L2,V4,M2} { ! cyclic( X, Y, Z, T ), eqangle( Z
% 6.53/6.95 , X, Z, Y, T, X, T, Y ) }.
% 6.53/6.95 substitution0:
% 6.53/6.95 X := X
% 6.53/6.95 Y := Y
% 6.53/6.95 Z := Z
% 6.53/6.95 T := T
% 6.53/6.95 end
% 6.53/6.95 permutation0:
% 6.53/6.95 0 ==> 0
% 6.53/6.95 1 ==> 1
% 6.53/6.95 end
% 6.53/6.95
% 6.53/6.95 subsumption: (42) {G0,W18,D2,L3,V4,M3} I { ! eqangle( Z, X, Z, Y, T, X, T,
% 6.53/6.95 Y ), ! coll( Z, T, Y ), cyclic( X, Y, Z, T ) }.
% 6.53/6.95 parent0: (31444) {G0,W18,D2,L3,V4,M3} { ! eqangle( Z, X, Z, Y, T, X, T, Y
% 6.53/6.95 ), ! coll( Z, T, Y ), cyclic( X, Y, Z, T ) }.
% 6.53/6.95 substitution0:
% 6.53/6.95 X := X
% 6.53/6.95 Y := Y
% 6.53/6.95 Z := Z
% 6.53/6.95 T := T
% 6.53/6.95 end
% 6.53/6.95 permutation0:
% 6.53/6.95 0 ==> 0
% 6.53/6.95 1 ==> 1
% 6.53/6.95 2 ==> 2
% 6.53/6.95 end
% 6.53/6.95
% 6.53/6.95 subsumption: (66) {G0,W9,D2,L2,V3,M2} I { ! para( X, Y, X, Z ), coll( X, Y
% 6.53/6.95 , Z ) }.
% 6.53/6.95 parent0: (31468) {G0,W9,D2,L2,V3,M2} { ! para( X, Y, X, Z ), coll( X, Y, Z
% 6.53/6.95 ) }.
% 6.53/6.95 substitution0:
% 6.53/6.95 X := X
% 6.53/6.95 Y := Y
% 6.53/6.95 Z := Z
% 6.53/6.95 end
% 6.53/6.95 permutation0:
% 6.53/6.95 0 ==> 0
% 6.53/6.95 1 ==> 1
% 6.53/6.95 end
% 6.53/6.95
% 6.53/6.95 subsumption: (94) {G0,W17,D3,L3,V5,M3} I { ! perp( X, T, Y, Z ), ! perp( Y
% 6.53/6.95 , T, X, Z ), coll( skol10( U, Y, Z ), Z, Y ) }.
% 6.53/6.95 parent0: (31497) {G0,W17,D3,L3,V5,M3} { ! perp( X, T, Y, Z ), ! perp( Y, T
% 6.53/6.95 , X, Z ), coll( skol10( U, Y, Z ), Z, Y ) }.
% 6.53/6.95 substitution0:
% 6.53/6.95 X := X
% 6.53/6.95 Y := Y
% 6.53/6.95 Z := Z
% 6.53/6.95 T := T
% 6.53/6.95 U := U
% 6.53/6.95 end
% 6.53/6.95 permutation0:
% 6.53/6.95 0 ==> 0
% 6.53/6.95 1 ==> 1
% 6.53/6.95 2 ==> 2
% 6.53/6.95 end
% 6.53/6.95
% 6.53/6.95 subsumption: (96) {G0,W14,D2,L3,V4,M3} I { ! perp( X, T, Y, Z ), ! perp( Y
% 6.53/6.95 , T, X, Z ), alpha1( X, Y, Z ) }.
% 6.53/6.95 parent0: (31499) {G0,W14,D2,L3,V4,M3} { ! perp( X, T, Y, Z ), ! perp( Y, T
% 6.53/6.95 , X, Z ), alpha1( X, Y, Z ) }.
% 6.53/6.95 substitution0:
% 6.53/6.95 X := X
% 6.53/6.95 Y := Y
% 6.53/6.95 Z := Z
% 6.53/6.95 T := T
% 6.53/6.95 end
% 6.53/6.95 permutation0:
% 6.53/6.95 0 ==> 0
% 6.53/6.95 1 ==> 1
% 6.53/6.95 2 ==> 2
% 6.53/6.95 end
% 6.53/6.95
% 6.53/6.95 subsumption: (97) {G0,W11,D3,L2,V4,M2} I { ! alpha1( X, Y, Z ), coll(
% 6.53/6.95 skol11( X, T, Z ), Z, X ) }.
% 6.53/6.95 parent0: (31500) {G0,W11,D3,L2,V4,M2} { ! alpha1( X, Y, Z ), coll( skol11
% 6.53/6.95 ( X, T, Z ), Z, X ) }.
% 6.53/6.95 substitution0:
% 6.53/6.95 X := X
% 6.53/6.95 Y := Y
% 6.53/6.95 Z := Z
% 6.53/6.95 T := T
% 6.53/6.95 end
% 6.53/6.95 permutation0:
% 6.53/6.95 0 ==> 0
% 6.53/6.95 1 ==> 1
% 6.53/6.95 end
% 6.53/6.95
% 6.53/6.95 subsumption: (116) {G0,W5,D2,L1,V0,M1} I { perp( skol26, skol24, skol26,
% 6.53/6.95 skol25 ) }.
% 6.53/6.95 parent0: (31519) {G0,W5,D2,L1,V0,M1} { perp( skol26, skol24, skol26,
% 6.53/6.95 skol25 ) }.
% 6.53/6.95 substitution0:
% 6.53/6.95 end
% 6.53/6.95 permutation0:
% 6.53/6.95 0 ==> 0
% 6.53/6.95 end
% 6.53/6.95
% 6.53/6.95 subsumption: (120) {G0,W4,D2,L1,V0,M1} I { coll( skol26, skol20, skol32 )
% 6.53/6.95 }.
% 6.53/6.95 parent0: (31523) {G0,W4,D2,L1,V0,M1} { coll( skol26, skol20, skol32 ) }.
% 6.53/6.95 substitution0:
% 6.53/6.95 end
% 6.53/6.95 permutation0:
% 6.53/6.95 0 ==> 0
% 6.53/6.95 end
% 6.53/6.95
% 6.53/6.95 subsumption: (122) {G0,W4,D2,L1,V0,M1} I { coll( skol25, skol32, skol22 )
% 6.53/6.95 }.
% 6.53/6.95 parent0: (31525) {G0,W4,D2,L1,V0,M1} { coll( skol25, skol32, skol22 ) }.
% 6.53/6.95 substitution0:
% 6.53/6.95 end
% 6.53/6.95 permutation0:
% 6.53/6.95 0 ==> 0
% 6.53/6.95 end
% 6.53/6.95
% 6.53/6.95 subsumption: (126) {G0,W4,D2,L1,V0,M1} I { ! coll( skol20, skol22, skol23 )
% 6.53/6.95 }.
% 6.53/6.95 parent0: (31529) {G0,W4,D2,L1,V0,M1} { ! coll( skol20, skol22, skol23 )
% 6.53/6.95 }.
% 6.53/6.95 substitution0:
% 6.53/6.95 end
% 6.53/6.95 permutation0:
% 6.53/6.95 0 ==> 0
% 6.53/6.95 end
% 6.53/6.95
% 6.53/6.95 resolution: (31974) {G1,W4,D2,L1,V0,M1} { coll( skol26, skol32, skol20 )
% 6.53/6.95 }.
% 6.53/6.95 parent0[0]: (0) {G0,W8,D2,L2,V3,M2} I { ! coll( X, Y, Z ), coll( X, Z, Y )
% 6.53/6.95 }.
% 6.53/6.95 parent1[0]: (120) {G0,W4,D2,L1,V0,M1} I { coll( skol26, skol20, skol32 )
% 6.53/6.95 }.
% 6.53/6.95 substitution0:
% 6.53/6.95 X := skol26
% 6.53/6.95 Y := skol20
% 6.53/6.95 Z := skol32
% 6.53/6.95 end
% 6.53/6.95 substitution1:
% 6.53/6.95 end
% 6.53/6.95
% 6.53/6.95 subsumption: (164) {G1,W4,D2,L1,V0,M1} R(0,120) { coll( skol26, skol32,
% 6.53/6.95 skol20 ) }.
% 6.53/6.95 parent0: (31974) {G1,W4,D2,L1,V0,M1} { coll( skol26, skol32, skol20 ) }.
% 6.53/6.95 substitution0:
% 6.53/6.95 end
% 6.53/6.95 permutation0:
% 6.53/6.95 0 ==> 0
% 6.53/6.95 end
% 6.53/6.95
% 6.53/6.95 resolution: (31975) {G1,W4,D2,L1,V0,M1} { ! coll( skol20, skol23, skol22 )
% 6.53/6.95 }.
% 6.53/6.95 parent0[0]: (126) {G0,W4,D2,L1,V0,M1} I { ! coll( skol20, skol22, skol23 )
% 6.53/6.95 }.
% 6.53/6.95 parent1[1]: (0) {G0,W8,D2,L2,V3,M2} I { ! coll( X, Y, Z ), coll( X, Z, Y )
% 6.53/6.95 }.
% 6.53/6.95 substitution0:
% 6.53/6.95 end
% 6.53/6.95 substitution1:
% 6.53/6.95 X := skol20
% 6.53/6.95 Y := skol23
% 6.53/6.95 Z := skol22
% 6.53/6.95 end
% 6.53/6.95
% 6.53/6.95 subsumption: (166) {G1,W4,D2,L1,V0,M1} R(0,126) { ! coll( skol20, skol23,
% 6.53/6.95 skol22 ) }.
% 6.53/6.95 parent0: (31975) {G1,W4,D2,L1,V0,M1} { ! coll( skol20, skol23, skol22 )
% 6.53/6.95 }.
% 6.53/6.95 substitution0:
% 6.53/6.95 end
% 6.53/6.95 permutation0:
% 6.53/6.95 0 ==> 0
% 6.53/6.95 end
% 6.53/6.95
% 6.53/6.95 resolution: (31976) {G1,W4,D2,L1,V0,M1} { ! coll( skol23, skol20, skol22 )
% 6.53/6.95 }.
% 6.53/6.95 parent0[0]: (166) {G1,W4,D2,L1,V0,M1} R(0,126) { ! coll( skol20, skol23,
% 6.53/6.95 skol22 ) }.
% 6.53/6.95 parent1[1]: (1) {G0,W8,D2,L2,V3,M2} I { ! coll( X, Y, Z ), coll( Y, X, Z )
% 6.53/6.95 }.
% 6.53/6.95 substitution0:
% 6.53/6.95 end
% 6.53/6.95 substitution1:
% 6.53/6.95 X := skol23
% 6.53/6.95 Y := skol20
% 6.53/6.95 Z := skol22
% 6.53/6.95 end
% 6.53/6.95
% 6.53/6.95 subsumption: (167) {G2,W4,D2,L1,V0,M1} R(1,166) { ! coll( skol23, skol20,
% 6.53/6.95 skol22 ) }.
% 6.53/6.95 parent0: (31976) {G1,W4,D2,L1,V0,M1} { ! coll( skol23, skol20, skol22 )
% 6.53/6.95 }.
% 6.53/6.95 substitution0:
% 6.53/6.95 end
% 6.53/6.95 permutation0:
% 6.53/6.95 0 ==> 0
% 6.53/6.95 end
% 6.53/6.95
% 6.53/6.95 resolution: (31977) {G1,W4,D2,L1,V0,M1} { coll( skol32, skol26, skol20 )
% 6.53/6.95 }.
% 6.53/6.95 parent0[0]: (1) {G0,W8,D2,L2,V3,M2} I { ! coll( X, Y, Z ), coll( Y, X, Z )
% 6.53/6.95 }.
% 6.53/6.95 parent1[0]: (164) {G1,W4,D2,L1,V0,M1} R(0,120) { coll( skol26, skol32,
% 6.53/6.95 skol20 ) }.
% 6.53/6.95 substitution0:
% 6.53/6.95 X := skol26
% 6.53/6.95 Y := skol32
% 6.53/6.95 Z := skol20
% 6.53/6.95 end
% 6.53/6.95 substitution1:
% 6.53/6.95 end
% 6.53/6.95
% 6.53/6.95 subsumption: (169) {G2,W4,D2,L1,V0,M1} R(1,164) { coll( skol32, skol26,
% 6.53/6.95 skol20 ) }.
% 6.53/6.95 parent0: (31977) {G1,W4,D2,L1,V0,M1} { coll( skol32, skol26, skol20 ) }.
% 6.53/6.95 substitution0:
% 6.53/6.95 end
% 6.53/6.95 permutation0:
% 6.53/6.95 0 ==> 0
% 6.53/6.95 end
% 6.53/6.95
% 6.53/6.95 resolution: (31979) {G1,W8,D2,L2,V3,M2} { coll( X, Z, Y ), ! coll( Y, X, Z
% 6.53/6.95 ) }.
% 6.53/6.95 parent0[0]: (0) {G0,W8,D2,L2,V3,M2} I { ! coll( X, Y, Z ), coll( X, Z, Y )
% 6.53/6.95 }.
% 6.53/6.95 parent1[1]: (1) {G0,W8,D2,L2,V3,M2} I { ! coll( X, Y, Z ), coll( Y, X, Z )
% 6.53/6.95 }.
% 6.53/6.95 substitution0:
% 6.53/6.95 X := X
% 6.53/6.95 Y := Y
% 6.53/6.95 Z := Z
% 6.53/6.95 end
% 6.53/6.95 substitution1:
% 6.53/6.95 X := Y
% 6.53/6.95 Y := X
% 6.53/6.95 Z := Z
% 6.53/6.95 end
% 6.53/6.95
% 6.53/6.95 subsumption: (171) {G1,W8,D2,L2,V3,M2} R(1,0) { ! coll( X, Y, Z ), coll( Y
% 6.53/6.95 , Z, X ) }.
% 6.53/6.95 parent0: (31979) {G1,W8,D2,L2,V3,M2} { coll( X, Z, Y ), ! coll( Y, X, Z )
% 6.53/6.95 }.
% 6.53/6.95 substitution0:
% 6.53/6.95 X := Y
% 6.53/6.95 Y := X
% 6.53/6.95 Z := Z
% 6.53/6.95 end
% 6.53/6.95 permutation0:
% 6.53/6.95 0 ==> 1
% 6.53/6.95 1 ==> 0
% 6.53/6.95 end
% 6.53/6.95
% 6.53/6.95 resolution: (31980) {G1,W4,D2,L1,V0,M1} { coll( skol20, skol26, skol32 )
% 6.53/6.95 }.
% 6.53/6.95 parent0[0]: (1) {G0,W8,D2,L2,V3,M2} I { ! coll( X, Y, Z ), coll( Y, X, Z )
% 6.53/6.95 }.
% 6.53/6.95 parent1[0]: (120) {G0,W4,D2,L1,V0,M1} I { coll( skol26, skol20, skol32 )
% 6.53/6.95 }.
% 6.53/6.95 substitution0:
% 6.53/6.95 X := skol26
% 6.53/6.95 Y := skol20
% 6.53/6.95 Z := skol32
% 6.53/6.95 end
% 6.53/6.95 substitution1:
% 6.53/6.95 end
% 6.53/6.95
% 6.53/6.95 subsumption: (172) {G1,W4,D2,L1,V0,M1} R(1,120) { coll( skol20, skol26,
% 6.53/6.95 skol32 ) }.
% 6.53/6.95 parent0: (31980) {G1,W4,D2,L1,V0,M1} { coll( skol20, skol26, skol32 ) }.
% 6.53/6.95 substitution0:
% 6.53/6.95 end
% 6.53/6.95 permutation0:
% 6.53/6.95 0 ==> 0
% 6.53/6.95 end
% 6.53/6.95
% 6.53/6.95 resolution: (31981) {G1,W4,D2,L1,V0,M1} { coll( skol32, skol25, skol22 )
% 6.53/6.95 }.
% 6.53/6.95 parent0[0]: (1) {G0,W8,D2,L2,V3,M2} I { ! coll( X, Y, Z ), coll( Y, X, Z )
% 6.53/6.95 }.
% 6.53/6.95 parent1[0]: (122) {G0,W4,D2,L1,V0,M1} I { coll( skol25, skol32, skol22 )
% 6.53/6.95 }.
% 6.53/6.95 substitution0:
% 6.53/6.95 X := skol25
% 6.53/6.95 Y := skol32
% 6.53/6.95 Z := skol22
% 6.53/6.95 end
% 6.53/6.95 substitution1:
% 6.53/6.95 end
% 6.53/6.95
% 6.53/6.95 subsumption: (173) {G1,W4,D2,L1,V0,M1} R(1,122) { coll( skol32, skol25,
% 6.53/6.95 skol22 ) }.
% 6.53/6.95 parent0: (31981) {G1,W4,D2,L1,V0,M1} { coll( skol32, skol25, skol22 ) }.
% 6.53/6.95 substitution0:
% 6.53/6.95 end
% 6.53/6.95 permutation0:
% 6.53/6.95 0 ==> 0
% 6.53/6.95 end
% 6.53/6.95
% 6.53/6.95 resolution: (31982) {G1,W4,D2,L1,V0,M1} { ! coll( skol23, skol22, skol20 )
% 6.53/6.95 }.
% 6.53/6.95 parent0[0]: (167) {G2,W4,D2,L1,V0,M1} R(1,166) { ! coll( skol23, skol20,
% 6.53/6.95 skol22 ) }.
% 6.53/6.95 parent1[1]: (0) {G0,W8,D2,L2,V3,M2} I { ! coll( X, Y, Z ), coll( X, Z, Y )
% 6.53/6.95 }.
% 6.53/6.95 substitution0:
% 6.53/6.95 end
% 6.53/6.95 substitution1:
% 6.53/6.95 X := skol23
% 6.53/6.95 Y := skol22
% 6.53/6.95 Z := skol20
% 6.53/6.95 end
% 6.53/6.95
% 6.53/6.95 subsumption: (175) {G3,W4,D2,L1,V0,M1} R(167,0) { ! coll( skol23, skol22,
% 6.53/6.95 skol20 ) }.
% 6.53/6.95 parent0: (31982) {G1,W4,D2,L1,V0,M1} { ! coll( skol23, skol22, skol20 )
% 6.53/6.95 }.
% 6.53/6.95 substitution0:
% 6.53/6.95 end
% 6.53/6.95 permutation0:
% 6.53/6.95 0 ==> 0
% 6.53/6.95 end
% 6.53/6.95
% 6.53/6.95 resolution: (31983) {G1,W4,D2,L1,V0,M1} { ! coll( skol22, skol23, skol20 )
% 6.53/6.95 }.
% 6.53/6.95 parent0[0]: (175) {G3,W4,D2,L1,V0,M1} R(167,0) { ! coll( skol23, skol22,
% 6.53/6.95 skol20 ) }.
% 6.53/6.95 parent1[1]: (1) {G0,W8,D2,L2,V3,M2} I { ! coll( X, Y, Z ), coll( Y, X, Z )
% 6.53/6.95 }.
% 6.53/6.95 substitution0:
% 6.53/6.95 end
% 6.53/6.95 substitution1:
% 6.53/6.95 X := skol22
% 6.53/6.95 Y := skol23
% 6.53/6.95 Z := skol20
% 6.53/6.95 end
% 6.53/6.95
% 6.53/6.95 subsumption: (176) {G4,W4,D2,L1,V0,M1} R(175,1) { ! coll( skol22, skol23,
% 6.53/6.95 skol20 ) }.
% 6.53/6.95 parent0: (31983) {G1,W4,D2,L1,V0,M1} { ! coll( skol22, skol23, skol20 )
% 6.53/6.95 }.
% 6.53/6.95 substitution0:
% 6.53/6.95 end
% 6.53/6.95 permutation0:
% 6.53/6.95 0 ==> 0
% 6.53/6.95 end
% 6.53/6.95
% 6.53/6.95 resolution: (31984) {G1,W8,D2,L2,V1,M2} { ! coll( skol20, X, skol22 ), !
% 6.53/6.95 coll( skol20, X, skol23 ) }.
% 6.53/6.95 parent0[0]: (176) {G4,W4,D2,L1,V0,M1} R(175,1) { ! coll( skol22, skol23,
% 6.53/6.95 skol20 ) }.
% 6.53/6.95 parent1[2]: (2) {G0,W12,D2,L3,V4,M3} I { ! coll( X, T, Y ), ! coll( X, T, Z
% 6.53/6.95 ), coll( Y, Z, X ) }.
% 6.53/6.95 substitution0:
% 6.53/6.95 end
% 6.53/6.95 substitution1:
% 6.53/6.95 X := skol20
% 6.53/6.95 Y := skol22
% 6.53/6.95 Z := skol23
% 6.53/6.95 T := X
% 6.53/6.95 end
% 6.53/6.95
% 6.53/6.95 subsumption: (182) {G5,W8,D2,L2,V1,M2} R(2,176) { ! coll( skol20, X, skol22
% 6.53/6.95 ), ! coll( skol20, X, skol23 ) }.
% 6.53/6.95 parent0: (31984) {G1,W8,D2,L2,V1,M2} { ! coll( skol20, X, skol22 ), ! coll
% 6.53/6.95 ( skol20, X, skol23 ) }.
% 6.53/6.95 substitution0:
% 6.53/6.95 X := X
% 6.53/6.95 end
% 6.53/6.95 permutation0:
% 6.53/6.95 0 ==> 0
% 6.53/6.95 1 ==> 1
% 6.53/6.95 end
% 6.53/6.95
% 6.53/6.95 resolution: (31988) {G1,W12,D2,L3,V4,M3} { coll( X, Z, Y ), ! coll( Z, T,
% 6.53/6.95 X ), ! coll( Z, T, Y ) }.
% 6.53/6.95 parent0[0]: (0) {G0,W8,D2,L2,V3,M2} I { ! coll( X, Y, Z ), coll( X, Z, Y )
% 6.53/6.95 }.
% 6.53/6.95 parent1[2]: (2) {G0,W12,D2,L3,V4,M3} I { ! coll( X, T, Y ), ! coll( X, T, Z
% 6.53/6.95 ), coll( Y, Z, X ) }.
% 6.53/6.95 substitution0:
% 6.53/6.95 X := X
% 6.53/6.95 Y := Y
% 6.53/6.95 Z := Z
% 6.53/6.95 end
% 6.53/6.95 substitution1:
% 6.53/6.95 X := Z
% 6.53/6.95 Y := X
% 6.53/6.95 Z := Y
% 6.53/6.95 T := T
% 6.53/6.95 end
% 6.53/6.95
% 6.53/6.95 subsumption: (192) {G1,W12,D2,L3,V4,M3} R(2,0) { ! coll( X, Y, Z ), ! coll
% 6.53/6.95 ( X, Y, T ), coll( Z, X, T ) }.
% 6.53/6.95 parent0: (31988) {G1,W12,D2,L3,V4,M3} { coll( X, Z, Y ), ! coll( Z, T, X )
% 6.53/6.95 , ! coll( Z, T, Y ) }.
% 6.53/6.95 substitution0:
% 6.53/6.95 X := Z
% 6.53/6.95 Y := T
% 6.53/6.95 Z := X
% 6.53/6.95 T := Y
% 6.53/6.95 end
% 6.53/6.95 permutation0:
% 6.53/6.95 0 ==> 2
% 6.53/6.95 1 ==> 0
% 6.53/6.95 2 ==> 1
% 6.53/6.95 end
% 6.53/6.95
% 6.53/6.95 factor: (31990) {G1,W8,D2,L2,V3,M2} { ! coll( X, Y, Z ), coll( Z, X, Z )
% 6.53/6.95 }.
% 6.53/6.95 parent0[0, 1]: (192) {G1,W12,D2,L3,V4,M3} R(2,0) { ! coll( X, Y, Z ), !
% 6.53/6.95 coll( X, Y, T ), coll( Z, X, T ) }.
% 6.53/6.95 substitution0:
% 6.53/6.95 X := X
% 6.53/6.95 Y := Y
% 6.53/6.95 Z := Z
% 6.53/6.95 T := Z
% 6.53/6.95 end
% 6.53/6.95
% 6.53/6.95 subsumption: (198) {G2,W8,D2,L2,V3,M2} F(192) { ! coll( X, Y, Z ), coll( Z
% 6.53/6.95 , X, Z ) }.
% 6.53/6.95 parent0: (31990) {G1,W8,D2,L2,V3,M2} { ! coll( X, Y, Z ), coll( Z, X, Z )
% 6.53/6.95 }.
% 6.53/6.95 substitution0:
% 6.53/6.95 X := X
% 6.53/6.95 Y := Y
% 6.53/6.95 Z := Z
% 6.53/6.95 end
% 6.53/6.95 permutation0:
% 6.53/6.95 0 ==> 0
% 6.53/6.95 1 ==> 1
% 6.53/6.95 end
% 6.53/6.95
% 6.53/6.95 resolution: (31991) {G1,W4,D2,L1,V0,M1} { coll( skol32, skol20, skol26 )
% 6.53/6.95 }.
% 6.53/6.95 parent0[0]: (0) {G0,W8,D2,L2,V3,M2} I { ! coll( X, Y, Z ), coll( X, Z, Y )
% 6.53/6.95 }.
% 6.53/6.95 parent1[0]: (169) {G2,W4,D2,L1,V0,M1} R(1,164) { coll( skol32, skol26,
% 6.53/6.95 skol20 ) }.
% 6.53/6.95 substitution0:
% 6.53/6.95 X := skol32
% 6.53/6.95 Y := skol26
% 6.53/6.95 Z := skol20
% 6.53/6.95 end
% 6.53/6.95 substitution1:
% 6.53/6.95 end
% 6.53/6.95
% 6.53/6.95 subsumption: (208) {G3,W4,D2,L1,V0,M1} R(169,0) { coll( skol32, skol20,
% 6.53/6.95 skol26 ) }.
% 6.53/6.95 parent0: (31991) {G1,W4,D2,L1,V0,M1} { coll( skol32, skol20, skol26 ) }.
% 6.53/6.95 substitution0:
% 6.53/6.95 end
% 6.53/6.95 permutation0:
% 6.53/6.95 0 ==> 0
% 6.53/6.95 end
% 6.53/6.95
% 6.53/6.95 resolution: (31992) {G1,W4,D2,L1,V0,M1} { coll( skol20, skol32, skol26 )
% 6.53/6.95 }.
% 6.53/6.95 parent0[0]: (1) {G0,W8,D2,L2,V3,M2} I { ! coll( X, Y, Z ), coll( Y, X, Z )
% 6.53/6.95 }.
% 6.53/6.95 parent1[0]: (208) {G3,W4,D2,L1,V0,M1} R(169,0) { coll( skol32, skol20,
% 6.53/6.95 skol26 ) }.
% 6.53/6.95 substitution0:
% 6.53/6.95 X := skol32
% 6.53/6.95 Y := skol20
% 6.53/6.95 Z := skol26
% 6.53/6.95 end
% 6.53/6.95 substitution1:
% 6.53/6.95 end
% 6.53/6.95
% 6.53/6.95 subsumption: (211) {G4,W4,D2,L1,V0,M1} R(208,1) { coll( skol20, skol32,
% 6.53/6.95 skol26 ) }.
% 6.53/6.95 parent0: (31992) {G1,W4,D2,L1,V0,M1} { coll( skol20, skol32, skol26 ) }.
% 6.53/6.95 substitution0:
% 6.53/6.95 end
% 6.53/6.95 permutation0:
% 6.53/6.95 0 ==> 0
% 6.53/6.95 end
% 6.53/6.95
% 6.53/6.95 resolution: (31994) {G1,W8,D2,L2,V1,M2} { ! coll( skol20, skol32, X ),
% 6.53/6.95 coll( X, skol26, skol20 ) }.
% 6.53/6.95 parent0[1]: (2) {G0,W12,D2,L3,V4,M3} I { ! coll( X, T, Y ), ! coll( X, T, Z
% 6.53/6.95 ), coll( Y, Z, X ) }.
% 6.53/6.95 parent1[0]: (211) {G4,W4,D2,L1,V0,M1} R(208,1) { coll( skol20, skol32,
% 6.53/6.95 skol26 ) }.
% 6.53/6.95 substitution0:
% 6.53/6.95 X := skol20
% 6.53/6.95 Y := X
% 6.53/6.95 Z := skol26
% 6.53/6.95 T := skol32
% 6.53/6.95 end
% 6.53/6.95 substitution1:
% 6.53/6.95 end
% 6.53/6.95
% 6.53/6.95 subsumption: (213) {G5,W8,D2,L2,V1,M2} R(211,2) { ! coll( skol20, skol32, X
% 6.53/6.95 ), coll( X, skol26, skol20 ) }.
% 6.53/6.95 parent0: (31994) {G1,W8,D2,L2,V1,M2} { ! coll( skol20, skol32, X ), coll(
% 6.53/6.95 X, skol26, skol20 ) }.
% 6.53/6.95 substitution0:
% 6.53/6.95 X := X
% 6.53/6.95 end
% 6.53/6.95 permutation0:
% 6.53/6.95 0 ==> 0
% 6.53/6.95 1 ==> 1
% 6.53/6.95 end
% 6.53/6.95
% 6.53/6.95 resolution: (31995) {G1,W8,D2,L2,V1,M2} { ! coll( skol20, skol26, X ),
% 6.53/6.95 coll( skol32, X, skol20 ) }.
% 6.53/6.95 parent0[0]: (2) {G0,W12,D2,L3,V4,M3} I { ! coll( X, T, Y ), ! coll( X, T, Z
% 6.53/6.95 ), coll( Y, Z, X ) }.
% 6.53/6.95 parent1[0]: (172) {G1,W4,D2,L1,V0,M1} R(1,120) { coll( skol20, skol26,
% 6.53/6.95 skol32 ) }.
% 6.53/6.95 substitution0:
% 6.53/6.95 X := skol20
% 6.53/6.95 Y := skol32
% 6.53/6.95 Z := X
% 6.53/6.95 T := skol26
% 6.53/6.95 end
% 6.53/6.95 substitution1:
% 6.53/6.95 end
% 6.53/6.95
% 6.53/6.95 subsumption: (214) {G2,W8,D2,L2,V1,M2} R(172,2) { ! coll( skol20, skol26, X
% 6.53/6.95 ), coll( skol32, X, skol20 ) }.
% 6.53/6.95 parent0: (31995) {G1,W8,D2,L2,V1,M2} { ! coll( skol20, skol26, X ), coll(
% 6.53/6.95 skol32, X, skol20 ) }.
% 6.53/6.95 substitution0:
% 6.53/6.95 X := X
% 6.53/6.95 end
% 6.53/6.95 permutation0:
% 6.53/6.95 0 ==> 0
% 6.53/6.95 1 ==> 1
% 6.53/6.95 end
% 6.53/6.95
% 6.53/6.95 resolution: (31998) {G1,W8,D2,L2,V1,M2} { ! coll( skol32, skol25, X ),
% 6.53/6.95 coll( X, skol22, skol32 ) }.
% 6.53/6.95 parent0[1]: (2) {G0,W12,D2,L3,V4,M3} I { ! coll( X, T, Y ), ! coll( X, T, Z
% 6.53/6.95 ), coll( Y, Z, X ) }.
% 6.53/6.95 parent1[0]: (173) {G1,W4,D2,L1,V0,M1} R(1,122) { coll( skol32, skol25,
% 6.53/6.95 skol22 ) }.
% 6.53/6.95 substitution0:
% 6.53/6.95 X := skol32
% 6.53/6.95 Y := X
% 6.53/6.95 Z := skol22
% 6.53/6.95 T := skol25
% 6.53/6.95 end
% 6.53/6.95 substitution1:
% 6.53/6.95 end
% 6.53/6.95
% 6.53/6.95 subsumption: (217) {G2,W8,D2,L2,V1,M2} R(173,2) { ! coll( skol32, skol25, X
% 6.53/6.95 ), coll( X, skol22, skol32 ) }.
% 6.53/6.95 parent0: (31998) {G1,W8,D2,L2,V1,M2} { ! coll( skol32, skol25, X ), coll(
% 6.53/6.95 X, skol22, skol32 ) }.
% 6.53/6.95 substitution0:
% 6.53/6.95 X := X
% 6.53/6.95 end
% 6.53/6.95 permutation0:
% 6.53/6.95 0 ==> 0
% 6.53/6.95 1 ==> 1
% 6.53/6.95 end
% 6.53/6.95
% 6.53/6.95 resolution: (32000) {G1,W15,D2,L3,V6,M3} { ! para( X, Y, Z, T ), para( X,
% 6.53/6.95 Y, U, W ), ! para( U, W, Z, T ) }.
% 6.53/6.95 parent0[1]: (5) {G0,W15,D2,L3,V6,M3} I { ! para( X, Y, U, W ), ! para( U, W
% 6.53/6.95 , Z, T ), para( X, Y, Z, T ) }.
% 6.53/6.95 parent1[1]: (4) {G0,W10,D2,L2,V4,M2} I { ! para( X, Y, Z, T ), para( Z, T,
% 6.53/6.95 X, Y ) }.
% 6.53/6.95 substitution0:
% 6.53/6.95 X := X
% 6.53/6.95 Y := Y
% 6.53/6.95 Z := U
% 6.53/6.95 T := W
% 6.53/6.95 U := Z
% 6.53/6.95 W := T
% 6.53/6.95 end
% 6.53/6.95 substitution1:
% 6.53/6.95 X := U
% 6.53/6.95 Y := W
% 6.53/6.95 Z := Z
% 6.53/6.95 T := T
% 6.53/6.95 end
% 6.53/6.95
% 6.53/6.95 subsumption: (222) {G1,W15,D2,L3,V6,M3} R(5,4) { ! para( X, Y, Z, T ), para
% 6.53/6.95 ( X, Y, U, W ), ! para( U, W, Z, T ) }.
% 6.53/6.95 parent0: (32000) {G1,W15,D2,L3,V6,M3} { ! para( X, Y, Z, T ), para( X, Y,
% 6.53/6.95 U, W ), ! para( U, W, Z, T ) }.
% 6.53/6.95 substitution0:
% 6.53/6.95 X := X
% 6.53/6.95 Y := Y
% 6.53/6.95 Z := Z
% 6.53/6.95 T := T
% 6.53/6.95 U := U
% 6.53/6.95 W := W
% 6.53/6.95 end
% 6.53/6.95 permutation0:
% 6.53/6.95 0 ==> 0
% 6.53/6.95 1 ==> 1
% 6.53/6.95 2 ==> 2
% 6.53/6.95 end
% 6.53/6.95
% 6.53/6.95 factor: (32003) {G1,W10,D2,L2,V4,M2} { ! para( X, Y, Z, T ), para( X, Y, X
% 6.53/6.95 , Y ) }.
% 6.53/6.95 parent0[0, 2]: (222) {G1,W15,D2,L3,V6,M3} R(5,4) { ! para( X, Y, Z, T ),
% 6.53/6.95 para( X, Y, U, W ), ! para( U, W, Z, T ) }.
% 6.53/6.95 substitution0:
% 6.53/6.95 X := X
% 6.53/6.95 Y := Y
% 6.53/6.95 Z := Z
% 6.53/6.95 T := T
% 6.53/6.95 U := X
% 6.53/6.95 W := Y
% 6.53/6.95 end
% 6.53/6.95
% 6.53/6.95 subsumption: (226) {G2,W10,D2,L2,V4,M2} F(222) { ! para( X, Y, Z, T ), para
% 6.53/6.95 ( X, Y, X, Y ) }.
% 6.53/6.95 parent0: (32003) {G1,W10,D2,L2,V4,M2} { ! para( X, Y, Z, T ), para( X, Y,
% 6.53/6.95 X, Y ) }.
% 6.53/6.95 substitution0:
% 6.53/6.95 X := X
% 6.53/6.95 Y := Y
% 6.53/6.95 Z := Z
% 6.53/6.95 T := T
% 6.53/6.95 end
% 6.53/6.95 permutation0:
% 6.53/6.95 0 ==> 0
% 6.53/6.95 1 ==> 1
% 6.53/6.95 end
% 6.53/6.95
% 6.53/6.95 resolution: (32004) {G3,W4,D2,L1,V0,M1} { coll( skol26, skol20, skol26 )
% 6.53/6.95 }.
% 6.53/6.95 parent0[0]: (198) {G2,W8,D2,L2,V3,M2} F(192) { ! coll( X, Y, Z ), coll( Z,
% 6.53/6.95 X, Z ) }.
% 6.53/6.95 parent1[0]: (211) {G4,W4,D2,L1,V0,M1} R(208,1) { coll( skol20, skol32,
% 6.53/6.95 skol26 ) }.
% 6.53/6.95 substitution0:
% 6.53/6.95 X := skol20
% 6.53/6.95 Y := skol32
% 6.53/6.95 Z := skol26
% 6.53/6.95 end
% 6.53/6.95 substitution1:
% 6.53/6.95 end
% 6.53/6.95
% 6.53/6.95 subsumption: (231) {G5,W4,D2,L1,V0,M1} R(198,211) { coll( skol26, skol20,
% 6.53/6.95 skol26 ) }.
% 6.53/6.95 parent0: (32004) {G3,W4,D2,L1,V0,M1} { coll( skol26, skol20, skol26 ) }.
% 6.53/6.95 substitution0:
% 6.53/6.95 end
% 6.53/6.95 permutation0:
% 6.53/6.95 0 ==> 0
% 6.53/6.95 end
% 6.53/6.95
% 6.53/6.95 resolution: (32005) {G1,W12,D2,L3,V4,M3} { coll( Z, X, Z ), ! coll( Z, T,
% 6.53/6.95 X ), ! coll( Z, T, Y ) }.
% 6.53/6.95 parent0[0]: (198) {G2,W8,D2,L2,V3,M2} F(192) { ! coll( X, Y, Z ), coll( Z,
% 6.53/6.95 X, Z ) }.
% 6.53/6.95 parent1[2]: (2) {G0,W12,D2,L3,V4,M3} I { ! coll( X, T, Y ), ! coll( X, T, Z
% 6.53/6.95 ), coll( Y, Z, X ) }.
% 6.53/6.95 substitution0:
% 6.53/6.95 X := X
% 6.53/6.95 Y := Y
% 6.53/6.95 Z := Z
% 6.53/6.95 end
% 6.53/6.95 substitution1:
% 6.53/6.95 X := Z
% 6.53/6.95 Y := X
% 6.53/6.95 Z := Y
% 6.53/6.95 T := T
% 6.53/6.95 end
% 6.53/6.95
% 6.53/6.95 subsumption: (236) {G3,W12,D2,L3,V4,M3} R(198,2) { coll( X, Y, X ), ! coll
% 6.53/6.95 ( X, Z, Y ), ! coll( X, Z, T ) }.
% 6.53/6.95 parent0: (32005) {G1,W12,D2,L3,V4,M3} { coll( Z, X, Z ), ! coll( Z, T, X )
% 6.53/6.95 , ! coll( Z, T, Y ) }.
% 6.53/6.95 substitution0:
% 6.53/6.95 X := Y
% 6.53/6.95 Y := Y
% 6.53/6.95 Z := X
% 6.53/6.95 T := Z
% 6.53/6.95 end
% 6.53/6.95 permutation0:
% 6.53/6.95 0 ==> 0
% 6.53/6.95 1 ==> 1
% 6.53/6.95 2 ==> 1
% 6.53/6.95 end
% 6.53/6.95
% 6.53/6.95 factor: (32007) {G3,W8,D2,L2,V3,M2} { coll( X, Y, X ), ! coll( X, Z, Y )
% 6.53/6.95 }.
% 6.53/6.95 parent0[1, 2]: (236) {G3,W12,D2,L3,V4,M3} R(198,2) { coll( X, Y, X ), !
% 6.53/6.95 coll( X, Z, Y ), ! coll( X, Z, T ) }.
% 6.53/6.95 substitution0:
% 6.53/6.95 X := X
% 6.53/6.95 Y := Y
% 6.53/6.95 Z := Z
% 6.53/6.95 T := Y
% 6.53/6.95 end
% 6.53/6.95
% 6.53/6.95 subsumption: (246) {G4,W8,D2,L2,V3,M2} F(236) { coll( X, Y, X ), ! coll( X
% 6.53/6.95 , Z, Y ) }.
% 6.53/6.95 parent0: (32007) {G3,W8,D2,L2,V3,M2} { coll( X, Y, X ), ! coll( X, Z, Y )
% 6.53/6.95 }.
% 6.53/6.95 substitution0:
% 6.53/6.95 X := X
% 6.53/6.95 Y := Y
% 6.53/6.95 Z := Z
% 6.53/6.95 end
% 6.53/6.95 permutation0:
% 6.53/6.95 0 ==> 0
% 6.53/6.95 1 ==> 1
% 6.53/6.95 end
% 6.53/6.95
% 6.53/6.95 resolution: (32008) {G1,W5,D2,L1,V0,M1} { perp( skol26, skol25, skol26,
% 6.53/6.95 skol24 ) }.
% 6.53/6.95 parent0[0]: (7) {G0,W10,D2,L2,V4,M2} I { ! perp( X, Y, Z, T ), perp( Z, T,
% 6.53/6.95 X, Y ) }.
% 6.53/6.95 parent1[0]: (116) {G0,W5,D2,L1,V0,M1} I { perp( skol26, skol24, skol26,
% 6.53/6.95 skol25 ) }.
% 6.53/6.95 substitution0:
% 6.53/6.95 X := skol26
% 6.53/6.95 Y := skol24
% 6.53/6.95 Z := skol26
% 6.53/6.95 T := skol25
% 6.53/6.95 end
% 6.53/6.95 substitution1:
% 6.53/6.95 end
% 6.53/6.95
% 6.53/6.95 subsumption: (261) {G1,W5,D2,L1,V0,M1} R(7,116) { perp( skol26, skol25,
% 6.53/6.95 skol26, skol24 ) }.
% 6.53/6.95 parent0: (32008) {G1,W5,D2,L1,V0,M1} { perp( skol26, skol25, skol26,
% 6.53/6.95 skol24 ) }.
% 6.53/6.95 substitution0:
% 6.53/6.95 end
% 6.53/6.95 permutation0:
% 6.53/6.95 0 ==> 0
% 6.53/6.95 end
% 6.53/6.95
% 6.53/6.95 resolution: (32009) {G1,W4,D2,L1,V0,M1} { coll( skol26, skol26, skol20 )
% 6.53/6.95 }.
% 6.53/6.95 parent0[0]: (0) {G0,W8,D2,L2,V3,M2} I { ! coll( X, Y, Z ), coll( X, Z, Y )
% 6.53/6.95 }.
% 6.53/6.95 parent1[0]: (231) {G5,W4,D2,L1,V0,M1} R(198,211) { coll( skol26, skol20,
% 6.53/6.95 skol26 ) }.
% 6.53/6.95 substitution0:
% 6.53/6.95 X := skol26
% 6.53/6.95 Y := skol20
% 6.53/6.95 Z := skol26
% 6.53/6.95 end
% 6.53/6.95 substitution1:
% 6.53/6.95 end
% 6.53/6.95
% 6.53/6.95 subsumption: (268) {G6,W4,D2,L1,V0,M1} R(231,0) { coll( skol26, skol26,
% 6.53/6.95 skol20 ) }.
% 6.53/6.95 parent0: (32009) {G1,W4,D2,L1,V0,M1} { coll( skol26, skol26, skol20 ) }.
% 6.53/6.95 substitution0:
% 6.53/6.95 end
% 6.53/6.95 permutation0:
% 6.53/6.95 0 ==> 0
% 6.53/6.95 end
% 6.53/6.95
% 6.53/6.95 resolution: (32010) {G1,W8,D2,L2,V1,M2} { ! coll( skol26, skol26, X ),
% 6.53/6.95 coll( skol20, X, skol26 ) }.
% 6.53/6.95 parent0[0]: (2) {G0,W12,D2,L3,V4,M3} I { ! coll( X, T, Y ), ! coll( X, T, Z
% 6.53/6.95 ), coll( Y, Z, X ) }.
% 6.53/6.95 parent1[0]: (268) {G6,W4,D2,L1,V0,M1} R(231,0) { coll( skol26, skol26,
% 6.53/6.95 skol20 ) }.
% 6.53/6.95 substitution0:
% 6.53/6.95 X := skol26
% 6.53/6.95 Y := skol20
% 6.53/6.95 Z := X
% 6.53/6.95 T := skol26
% 6.53/6.95 end
% 6.53/6.95 substitution1:
% 6.53/6.95 end
% 6.53/6.95
% 6.53/6.95 subsumption: (283) {G7,W8,D2,L2,V1,M2} R(268,2) { ! coll( skol26, skol26, X
% 6.53/6.95 ), coll( skol20, X, skol26 ) }.
% 6.53/6.95 parent0: (32010) {G1,W8,D2,L2,V1,M2} { ! coll( skol26, skol26, X ), coll(
% 6.53/6.95 skol20, X, skol26 ) }.
% 6.53/6.95 substitution0:
% 6.53/6.95 X := X
% 6.53/6.95 end
% 6.53/6.95 permutation0:
% 6.53/6.95 0 ==> 0
% 6.53/6.95 1 ==> 1
% 6.53/6.95 end
% 6.53/6.95
% 6.53/6.95 resolution: (32013) {G1,W10,D2,L2,V2,M2} { ! perp( X, Y, skol26, skol25 )
% 6.53/6.95 , para( X, Y, skol26, skol24 ) }.
% 6.53/6.95 parent0[1]: (8) {G0,W15,D2,L3,V6,M3} I { ! perp( X, Y, U, W ), ! perp( U, W
% 6.53/6.95 , Z, T ), para( X, Y, Z, T ) }.
% 6.53/6.95 parent1[0]: (261) {G1,W5,D2,L1,V0,M1} R(7,116) { perp( skol26, skol25,
% 6.53/6.95 skol26, skol24 ) }.
% 6.53/6.95 substitution0:
% 6.53/6.95 X := X
% 6.53/6.95 Y := Y
% 6.53/6.95 Z := skol26
% 6.53/6.95 T := skol24
% 6.53/6.95 U := skol26
% 6.53/6.95 W := skol25
% 6.53/6.95 end
% 6.53/6.95 substitution1:
% 6.53/6.95 end
% 6.53/6.95
% 6.53/6.95 subsumption: (362) {G2,W10,D2,L2,V2,M2} R(261,8) { ! perp( X, Y, skol26,
% 6.53/6.95 skol25 ), para( X, Y, skol26, skol24 ) }.
% 6.53/6.95 parent0: (32013) {G1,W10,D2,L2,V2,M2} { ! perp( X, Y, skol26, skol25 ),
% 6.53/6.95 para( X, Y, skol26, skol24 ) }.
% 6.53/6.95 substitution0:
% 6.53/6.95 X := X
% 6.53/6.95 Y := Y
% 6.53/6.95 end
% 6.53/6.95 permutation0:
% 6.53/6.95 0 ==> 0
% 6.53/6.95 1 ==> 1
% 6.53/6.95 end
% 6.53/6.95
% 6.53/6.95 resolution: (32014) {G1,W5,D2,L1,V0,M1} { perp( skol26, skol25, skol24,
% 6.53/6.95 skol26 ) }.
% 6.53/6.95 parent0[0]: (6) {G0,W10,D2,L2,V4,M2} I { ! perp( X, Y, Z, T ), perp( X, Y,
% 6.53/6.95 T, Z ) }.
% 6.53/6.95 parent1[0]: (261) {G1,W5,D2,L1,V0,M1} R(7,116) { perp( skol26, skol25,
% 6.53/6.95 skol26, skol24 ) }.
% 6.53/6.95 substitution0:
% 6.53/6.95 X := skol26
% 6.53/6.95 Y := skol25
% 6.53/6.95 Z := skol26
% 6.53/6.95 T := skol24
% 6.53/6.95 end
% 6.53/6.95 substitution1:
% 6.53/6.95 end
% 6.53/6.95
% 6.53/6.95 subsumption: (363) {G2,W5,D2,L1,V0,M1} R(261,6) { perp( skol26, skol25,
% 6.53/6.95 skol24, skol26 ) }.
% 6.53/6.95 parent0: (32014) {G1,W5,D2,L1,V0,M1} { perp( skol26, skol25, skol24,
% 6.53/6.95 skol26 ) }.
% 6.53/6.95 substitution0:
% 6.53/6.95 end
% 6.53/6.95 permutation0:
% 6.53/6.95 0 ==> 0
% 6.53/6.95 end
% 6.53/6.95
% 6.53/6.95 resolution: (32016) {G1,W15,D2,L3,V5,M3} { ! cyclic( X, Y, Z, T ), cyclic
% 6.53/6.95 ( Y, Z, T, U ), ! cyclic( Y, X, Z, U ) }.
% 6.53/6.95 parent0[1]: (16) {G0,W15,D2,L3,V5,M3} I { ! cyclic( U, X, Y, Z ), ! cyclic
% 6.53/6.95 ( U, X, Y, T ), cyclic( X, Y, Z, T ) }.
% 6.53/6.95 parent1[1]: (15) {G0,W10,D2,L2,V4,M2} I { ! cyclic( X, Y, Z, T ), cyclic( Y
% 6.53/6.95 , X, Z, T ) }.
% 6.53/6.95 substitution0:
% 6.53/6.95 X := Y
% 6.53/6.95 Y := Z
% 6.53/6.95 Z := T
% 6.53/6.95 T := U
% 6.53/6.95 U := X
% 6.53/6.95 end
% 6.53/6.95 substitution1:
% 6.53/6.95 X := Y
% 6.53/6.95 Y := X
% 6.53/6.95 Z := Z
% 6.53/6.95 T := U
% 6.53/6.95 end
% 6.53/6.95
% 6.53/6.95 subsumption: (367) {G1,W15,D2,L3,V5,M3} R(16,15) { ! cyclic( X, Y, Z, T ),
% 6.53/6.95 cyclic( Y, Z, T, U ), ! cyclic( Y, X, Z, U ) }.
% 6.53/6.95 parent0: (32016) {G1,W15,D2,L3,V5,M3} { ! cyclic( X, Y, Z, T ), cyclic( Y
% 6.53/6.95 , Z, T, U ), ! cyclic( Y, X, Z, U ) }.
% 6.53/6.95 substitution0:
% 6.53/6.95 X := X
% 6.53/6.95 Y := Y
% 6.53/6.95 Z := Z
% 6.53/6.95 T := T
% 6.53/6.95 U := U
% 6.53/6.95 end
% 6.53/6.95 permutation0:
% 6.53/6.95 0 ==> 0
% 6.53/6.95 1 ==> 1
% 6.53/6.95 2 ==> 2
% 6.53/6.95 end
% 6.53/6.95
% 6.53/6.95 resolution: (32018) {G1,W5,D2,L1,V0,M1} { perp( skol24, skol26, skol26,
% 6.53/6.95 skol25 ) }.
% 6.53/6.95 parent0[0]: (7) {G0,W10,D2,L2,V4,M2} I { ! perp( X, Y, Z, T ), perp( Z, T,
% 6.53/6.95 X, Y ) }.
% 6.53/6.95 parent1[0]: (363) {G2,W5,D2,L1,V0,M1} R(261,6) { perp( skol26, skol25,
% 6.53/6.95 skol24, skol26 ) }.
% 6.53/6.95 substitution0:
% 6.53/6.95 X := skol26
% 6.53/6.95 Y := skol25
% 6.53/6.95 Z := skol24
% 6.53/6.95 T := skol26
% 6.53/6.95 end
% 6.53/6.95 substitution1:
% 6.53/6.95 end
% 6.53/6.95
% 6.53/6.95 subsumption: (383) {G3,W5,D2,L1,V0,M1} R(363,7) { perp( skol24, skol26,
% 6.53/6.95 skol26, skol25 ) }.
% 6.53/6.95 parent0: (32018) {G1,W5,D2,L1,V0,M1} { perp( skol24, skol26, skol26,
% 6.53/6.95 skol25 ) }.
% 6.53/6.95 substitution0:
% 6.53/6.95 end
% 6.53/6.95 permutation0:
% 6.53/6.95 0 ==> 0
% 6.53/6.95 end
% 6.53/6.95
% 6.53/6.95 resolution: (32019) {G1,W5,D2,L1,V0,M1} { perp( skol24, skol26, skol25,
% 6.53/6.95 skol26 ) }.
% 6.53/6.95 parent0[0]: (6) {G0,W10,D2,L2,V4,M2} I { ! perp( X, Y, Z, T ), perp( X, Y,
% 6.53/6.95 T, Z ) }.
% 6.53/6.95 parent1[0]: (383) {G3,W5,D2,L1,V0,M1} R(363,7) { perp( skol24, skol26,
% 6.53/6.95 skol26, skol25 ) }.
% 6.53/6.95 substitution0:
% 6.53/6.95 X := skol24
% 6.53/6.95 Y := skol26
% 6.53/6.95 Z := skol26
% 6.53/6.95 T := skol25
% 6.53/6.95 end
% 6.53/6.95 substitution1:
% 6.53/6.95 end
% 6.53/6.95
% 6.53/6.95 subsumption: (387) {G4,W5,D2,L1,V0,M1} R(383,6) { perp( skol24, skol26,
% 6.53/6.95 skol25, skol26 ) }.
% 6.53/6.95 parent0: (32019) {G1,W5,D2,L1,V0,M1} { perp( skol24, skol26, skol25,
% 6.53/6.95 skol26 ) }.
% 6.53/6.95 substitution0:
% 6.53/6.95 end
% 6.53/6.95 permutation0:
% 6.53/6.95 0 ==> 0
% 6.53/6.95 end
% 6.53/6.95
% 6.53/6.95 resolution: (32020) {G1,W5,D2,L1,V0,M1} { perp( skol25, skol26, skol24,
% 6.53/6.95 skol26 ) }.
% 6.53/6.95 parent0[0]: (7) {G0,W10,D2,L2,V4,M2} I { ! perp( X, Y, Z, T ), perp( Z, T,
% 6.53/6.95 X, Y ) }.
% 6.53/6.95 parent1[0]: (387) {G4,W5,D2,L1,V0,M1} R(383,6) { perp( skol24, skol26,
% 6.53/6.95 skol25, skol26 ) }.
% 6.53/6.95 substitution0:
% 6.53/6.95 X := skol24
% 6.53/6.95 Y := skol26
% 6.53/6.95 Z := skol25
% 6.53/6.95 T := skol26
% 6.53/6.95 end
% 6.53/6.95 substitution1:
% 6.53/6.95 end
% 6.53/6.95
% 6.53/6.95 subsumption: (391) {G5,W5,D2,L1,V0,M1} R(387,7) { perp( skol25, skol26,
% 6.53/6.95 skol24, skol26 ) }.
% 6.53/6.95 parent0: (32020) {G1,W5,D2,L1,V0,M1} { perp( skol25, skol26, skol24,
% 6.53/6.95 skol26 ) }.
% 6.53/6.95 substitution0:
% 6.53/6.95 end
% 6.53/6.95 permutation0:
% 6.53/6.95 0 ==> 0
% 6.53/6.95 end
% 6.53/6.95
% 6.53/6.95 resolution: (32022) {G1,W8,D2,L2,V3,M2} { coll( Y, X, X ), ! coll( X, Z, Y
% 6.53/6.95 ) }.
% 6.53/6.95 parent0[0]: (1) {G0,W8,D2,L2,V3,M2} I { ! coll( X, Y, Z ), coll( Y, X, Z )
% 6.53/6.95 }.
% 6.53/6.95 parent1[0]: (246) {G4,W8,D2,L2,V3,M2} F(236) { coll( X, Y, X ), ! coll( X,
% 6.53/6.95 Z, Y ) }.
% 6.53/6.95 substitution0:
% 6.53/6.95 X := X
% 6.53/6.95 Y := Y
% 6.53/6.95 Z := X
% 6.53/6.95 end
% 6.53/6.95 substitution1:
% 6.53/6.95 X := X
% 6.53/6.95 Y := Y
% 6.53/6.95 Z := Z
% 6.53/6.95 end
% 6.53/6.95
% 6.53/6.95 subsumption: (408) {G5,W8,D2,L2,V3,M2} R(246,1) { ! coll( X, Y, Z ), coll(
% 6.53/6.95 Z, X, X ) }.
% 6.53/6.95 parent0: (32022) {G1,W8,D2,L2,V3,M2} { coll( Y, X, X ), ! coll( X, Z, Y )
% 6.53/6.95 }.
% 6.53/6.95 substitution0:
% 6.53/6.95 X := X
% 6.53/6.95 Y := Z
% 6.53/6.95 Z := Y
% 6.53/6.95 end
% 6.53/6.95 permutation0:
% 6.53/6.95 0 ==> 1
% 6.53/6.95 1 ==> 0
% 6.53/6.95 end
% 6.53/6.95
% 6.53/6.95 resolution: (32023) {G1,W8,D2,L2,V3,M2} { coll( Z, X, X ), ! coll( Y, X, Z
% 6.53/6.95 ) }.
% 6.53/6.95 parent0[0]: (408) {G5,W8,D2,L2,V3,M2} R(246,1) { ! coll( X, Y, Z ), coll( Z
% 6.53/6.95 , X, X ) }.
% 6.53/6.95 parent1[1]: (1) {G0,W8,D2,L2,V3,M2} I { ! coll( X, Y, Z ), coll( Y, X, Z )
% 6.53/6.95 }.
% 6.53/6.95 substitution0:
% 6.53/6.95 X := X
% 6.53/6.95 Y := Y
% 6.53/6.95 Z := Z
% 6.53/6.95 end
% 6.53/6.95 substitution1:
% 6.53/6.95 X := Y
% 6.53/6.95 Y := X
% 6.53/6.95 Z := Z
% 6.53/6.95 end
% 6.53/6.95
% 6.53/6.95 subsumption: (413) {G6,W8,D2,L2,V3,M2} R(408,1) { coll( X, Y, Y ), ! coll(
% 6.53/6.95 Z, Y, X ) }.
% 6.53/6.95 parent0: (32023) {G1,W8,D2,L2,V3,M2} { coll( Z, X, X ), ! coll( Y, X, Z )
% 6.53/6.95 }.
% 6.53/6.95 substitution0:
% 6.53/6.95 X := Y
% 6.53/6.95 Y := Z
% 6.53/6.95 Z := X
% 6.53/6.95 end
% 6.53/6.95 permutation0:
% 6.53/6.95 0 ==> 0
% 6.53/6.95 1 ==> 1
% 6.53/6.95 end
% 6.53/6.95
% 6.53/6.95 resolution: (32024) {G1,W8,D2,L2,V3,M2} { coll( Z, X, X ), ! coll( X, Z, Y
% 6.53/6.95 ) }.
% 6.53/6.95 parent0[0]: (408) {G5,W8,D2,L2,V3,M2} R(246,1) { ! coll( X, Y, Z ), coll( Z
% 6.53/6.95 , X, X ) }.
% 6.53/6.95 parent1[1]: (0) {G0,W8,D2,L2,V3,M2} I { ! coll( X, Y, Z ), coll( X, Z, Y )
% 6.53/6.95 }.
% 6.53/6.95 substitution0:
% 6.53/6.95 X := X
% 6.53/6.95 Y := Y
% 6.53/6.95 Z := Z
% 6.53/6.95 end
% 6.53/6.95 substitution1:
% 6.53/6.95 X := X
% 6.53/6.95 Y := Z
% 6.53/6.95 Z := Y
% 6.53/6.95 end
% 6.53/6.95
% 6.53/6.95 subsumption: (414) {G6,W8,D2,L2,V3,M2} R(408,0) { coll( X, Y, Y ), ! coll(
% 6.53/6.95 Y, X, Z ) }.
% 6.53/6.95 parent0: (32024) {G1,W8,D2,L2,V3,M2} { coll( Z, X, X ), ! coll( X, Z, Y )
% 6.53/6.95 }.
% 6.53/6.95 substitution0:
% 6.53/6.95 X := Y
% 6.53/6.95 Y := Z
% 6.53/6.95 Z := X
% 6.53/6.95 end
% 6.53/6.95 permutation0:
% 6.53/6.95 0 ==> 0
% 6.53/6.95 1 ==> 1
% 6.53/6.95 end
% 6.53/6.95
% 6.53/6.95 resolution: (32026) {G6,W8,D2,L2,V3,M2} { coll( Y, X, X ), ! coll( Z, Y, X
% 6.53/6.95 ) }.
% 6.53/6.95 parent0[0]: (408) {G5,W8,D2,L2,V3,M2} R(246,1) { ! coll( X, Y, Z ), coll( Z
% 6.53/6.95 , X, X ) }.
% 6.53/6.95 parent1[0]: (413) {G6,W8,D2,L2,V3,M2} R(408,1) { coll( X, Y, Y ), ! coll( Z
% 6.53/6.95 , Y, X ) }.
% 6.53/6.95 substitution0:
% 6.53/6.95 X := X
% 6.53/6.95 Y := Y
% 6.53/6.95 Z := Y
% 6.53/6.95 end
% 6.53/6.95 substitution1:
% 6.53/6.95 X := X
% 6.53/6.95 Y := Y
% 6.53/6.95 Z := Z
% 6.53/6.95 end
% 6.53/6.95
% 6.53/6.95 subsumption: (415) {G7,W8,D2,L2,V3,M2} R(413,408) { ! coll( X, Y, Z ), coll
% 6.53/6.95 ( Y, Z, Z ) }.
% 6.53/6.95 parent0: (32026) {G6,W8,D2,L2,V3,M2} { coll( Y, X, X ), ! coll( Z, Y, X )
% 6.53/6.95 }.
% 6.53/6.95 substitution0:
% 6.53/6.95 X := Z
% 6.53/6.95 Y := Y
% 6.53/6.95 Z := X
% 6.53/6.95 end
% 6.53/6.95 permutation0:
% 6.53/6.95 0 ==> 1
% 6.53/6.95 1 ==> 0
% 6.53/6.95 end
% 6.53/6.95
% 6.53/6.95 resolution: (32027) {G7,W8,D2,L2,V3,M2} { coll( X, Y, Y ), ! coll( X, Y, Z
% 6.53/6.95 ) }.
% 6.53/6.95 parent0[1]: (414) {G6,W8,D2,L2,V3,M2} R(408,0) { coll( X, Y, Y ), ! coll( Y
% 6.53/6.95 , X, Z ) }.
% 6.53/6.95 parent1[0]: (414) {G6,W8,D2,L2,V3,M2} R(408,0) { coll( X, Y, Y ), ! coll( Y
% 6.53/6.95 , X, Z ) }.
% 6.53/6.95 substitution0:
% 6.53/6.95 X := X
% 6.53/6.95 Y := Y
% 6.53/6.95 Z := X
% 6.53/6.95 end
% 6.53/6.95 substitution1:
% 6.53/6.95 X := Y
% 6.53/6.95 Y := X
% 6.53/6.95 Z := Z
% 6.53/6.95 end
% 6.53/6.95
% 6.53/6.95 subsumption: (421) {G7,W8,D2,L2,V3,M2} R(414,414) { ! coll( X, Y, Z ), coll
% 6.53/6.95 ( X, Y, Y ) }.
% 6.53/6.95 parent0: (32027) {G7,W8,D2,L2,V3,M2} { coll( X, Y, Y ), ! coll( X, Y, Z )
% 6.53/6.95 }.
% 6.53/6.95 substitution0:
% 6.53/6.95 X := X
% 6.53/6.95 Y := Y
% 6.53/6.95 Z := Z
% 6.53/6.95 end
% 6.53/6.95 permutation0:
% 6.53/6.95 0 ==> 1
% 6.53/6.95 1 ==> 0
% 6.53/6.95 end
% 6.53/6.95
% 6.53/6.95 resolution: (32031) {G1,W12,D2,L3,V4,M3} { ! coll( X, Y, Z ), coll( Z, Y,
% 6.53/6.95 X ), ! coll( X, Y, T ) }.
% 6.53/6.95 parent0[1]: (2) {G0,W12,D2,L3,V4,M3} I { ! coll( X, T, Y ), ! coll( X, T, Z
% 6.53/6.95 ), coll( Y, Z, X ) }.
% 6.53/6.95 parent1[1]: (421) {G7,W8,D2,L2,V3,M2} R(414,414) { ! coll( X, Y, Z ), coll
% 6.53/6.95 ( X, Y, Y ) }.
% 6.53/6.95 substitution0:
% 6.53/6.95 X := X
% 6.53/6.95 Y := Z
% 6.53/6.95 Z := Y
% 6.53/6.95 T := Y
% 6.53/6.95 end
% 6.53/6.95 substitution1:
% 6.53/6.95 X := X
% 6.53/6.95 Y := Y
% 6.53/6.95 Z := T
% 6.53/6.95 end
% 6.53/6.95
% 6.53/6.95 subsumption: (424) {G8,W12,D2,L3,V4,M3} R(421,2) { ! coll( X, Y, Z ), !
% 6.53/6.95 coll( X, Y, T ), coll( T, Y, X ) }.
% 6.53/6.95 parent0: (32031) {G1,W12,D2,L3,V4,M3} { ! coll( X, Y, Z ), coll( Z, Y, X )
% 6.53/6.95 , ! coll( X, Y, T ) }.
% 6.53/6.95 substitution0:
% 6.53/6.95 X := X
% 6.53/6.95 Y := Y
% 6.53/6.95 Z := T
% 6.53/6.95 T := Z
% 6.53/6.95 end
% 6.53/6.95 permutation0:
% 6.53/6.95 0 ==> 1
% 6.53/6.95 1 ==> 2
% 6.53/6.95 2 ==> 0
% 6.53/6.95 end
% 6.53/6.95
% 6.53/6.95 factor: (32034) {G8,W8,D2,L2,V3,M2} { ! coll( X, Y, Z ), coll( Z, Y, X )
% 6.53/6.95 }.
% 6.53/6.95 parent0[0, 1]: (424) {G8,W12,D2,L3,V4,M3} R(421,2) { ! coll( X, Y, Z ), !
% 6.53/6.95 coll( X, Y, T ), coll( T, Y, X ) }.
% 6.53/6.95 substitution0:
% 6.53/6.95 X := X
% 6.53/6.95 Y := Y
% 6.53/6.95 Z := Z
% 6.53/6.95 T := Z
% 6.53/6.95 end
% 6.53/6.95
% 6.53/6.95 subsumption: (425) {G9,W8,D2,L2,V3,M2} F(424) { ! coll( X, Y, Z ), coll( Z
% 6.53/6.95 , Y, X ) }.
% 6.53/6.95 parent0: (32034) {G8,W8,D2,L2,V3,M2} { ! coll( X, Y, Z ), coll( Z, Y, X )
% 6.53/6.95 }.
% 6.53/6.95 substitution0:
% 6.53/6.95 X := X
% 6.53/6.95 Y := Y
% 6.53/6.95 Z := Z
% 6.53/6.95 end
% 6.53/6.95 permutation0:
% 6.53/6.95 0 ==> 0
% 6.53/6.95 1 ==> 1
% 6.53/6.95 end
% 6.53/6.95
% 6.53/6.95 resolution: (32035) {G7,W8,D2,L2,V3,M2} { coll( Y, Y, X ), ! coll( Y, X, Z
% 6.53/6.95 ) }.
% 6.53/6.95 parent0[0]: (425) {G9,W8,D2,L2,V3,M2} F(424) { ! coll( X, Y, Z ), coll( Z,
% 6.53/6.95 Y, X ) }.
% 6.53/6.95 parent1[0]: (414) {G6,W8,D2,L2,V3,M2} R(408,0) { coll( X, Y, Y ), ! coll( Y
% 6.53/6.95 , X, Z ) }.
% 6.53/6.95 substitution0:
% 6.53/6.95 X := X
% 6.53/6.95 Y := Y
% 6.53/6.95 Z := Y
% 6.53/6.95 end
% 6.53/6.95 substitution1:
% 6.53/6.95 X := X
% 6.53/6.95 Y := Y
% 6.53/6.95 Z := Z
% 6.53/6.95 end
% 6.53/6.95
% 6.53/6.95 subsumption: (427) {G10,W8,D2,L2,V3,M2} R(425,414) { coll( X, X, Y ), !
% 6.53/6.95 coll( X, Y, Z ) }.
% 6.53/6.95 parent0: (32035) {G7,W8,D2,L2,V3,M2} { coll( Y, Y, X ), ! coll( Y, X, Z )
% 6.53/6.95 }.
% 6.53/6.95 substitution0:
% 6.53/6.95 X := Y
% 6.53/6.95 Y := X
% 6.53/6.95 Z := Z
% 6.53/6.95 end
% 6.53/6.95 permutation0:
% 6.53/6.95 0 ==> 0
% 6.53/6.95 1 ==> 1
% 6.53/6.95 end
% 6.53/6.95
% 6.53/6.95 resolution: (32036) {G8,W8,D2,L2,V3,M2} { coll( Y, Y, X ), ! coll( Z, X, Y
% 6.53/6.95 ) }.
% 6.53/6.95 parent0[0]: (425) {G9,W8,D2,L2,V3,M2} F(424) { ! coll( X, Y, Z ), coll( Z,
% 6.53/6.95 Y, X ) }.
% 6.53/6.95 parent1[1]: (415) {G7,W8,D2,L2,V3,M2} R(413,408) { ! coll( X, Y, Z ), coll
% 6.53/6.95 ( Y, Z, Z ) }.
% 6.53/6.95 substitution0:
% 6.53/6.95 X := X
% 6.53/6.95 Y := Y
% 6.53/6.95 Z := Y
% 6.53/6.95 end
% 6.53/6.95 substitution1:
% 6.53/6.95 X := Z
% 6.53/6.95 Y := X
% 6.53/6.95 Z := Y
% 6.53/6.95 end
% 6.53/6.95
% 6.53/6.95 subsumption: (428) {G10,W8,D2,L2,V3,M2} R(425,415) { coll( X, X, Y ), !
% 6.53/6.95 coll( Z, Y, X ) }.
% 6.53/6.95 parent0: (32036) {G8,W8,D2,L2,V3,M2} { coll( Y, Y, X ), ! coll( Z, X, Y )
% 6.53/6.95 }.
% 6.53/6.95 substitution0:
% 6.53/6.95 X := Y
% 6.53/6.95 Y := X
% 6.53/6.95 Z := Z
% 6.53/6.95 end
% 6.53/6.95 permutation0:
% 6.53/6.95 0 ==> 0
% 6.53/6.95 1 ==> 1
% 6.53/6.95 end
% 6.53/6.95
% 6.53/6.95 resolution: (32037) {G7,W8,D2,L2,V3,M2} { coll( Y, Y, X ), ! coll( Z, Y, X
% 6.53/6.95 ) }.
% 6.53/6.95 parent0[0]: (425) {G9,W8,D2,L2,V3,M2} F(424) { ! coll( X, Y, Z ), coll( Z,
% 6.53/6.95 Y, X ) }.
% 6.53/6.95 parent1[0]: (413) {G6,W8,D2,L2,V3,M2} R(408,1) { coll( X, Y, Y ), ! coll( Z
% 6.53/6.95 , Y, X ) }.
% 6.53/6.95 substitution0:
% 6.53/6.95 X := X
% 6.53/6.95 Y := Y
% 6.53/6.95 Z := Y
% 6.53/6.95 end
% 6.53/6.95 substitution1:
% 6.53/6.95 X := X
% 6.53/6.95 Y := Y
% 6.53/6.95 Z := Z
% 6.53/6.95 end
% 6.53/6.95
% 6.53/6.95 subsumption: (429) {G10,W8,D2,L2,V3,M2} R(425,413) { coll( X, X, Y ), !
% 6.53/6.95 coll( Z, X, Y ) }.
% 6.53/6.95 parent0: (32037) {G7,W8,D2,L2,V3,M2} { coll( Y, Y, X ), ! coll( Z, Y, X )
% 6.53/6.95 }.
% 6.53/6.95 substitution0:
% 6.53/6.95 X := Y
% 6.53/6.95 Y := X
% 6.53/6.95 Z := Z
% 6.53/6.95 end
% 6.53/6.95 permutation0:
% 6.53/6.95 0 ==> 0
% 6.53/6.95 1 ==> 1
% 6.53/6.95 end
% 6.53/6.95
% 6.53/6.95 resolution: (32038) {G1,W14,D2,L2,V6,M2} { eqangle( Y, X, Z, T, U, W, Z, T
% 6.53/6.95 ), ! para( X, Y, U, W ) }.
% 6.53/6.95 parent0[0]: (17) {G0,W18,D2,L2,V8,M2} I { ! eqangle( X, Y, Z, T, U, W, V0,
% 6.53/6.95 V1 ), eqangle( Y, X, Z, T, U, W, V0, V1 ) }.
% 6.53/6.95 parent1[1]: (39) {G0,W14,D2,L2,V6,M2} I { ! para( X, Y, Z, T ), eqangle( X
% 6.53/6.95 , Y, U, W, Z, T, U, W ) }.
% 6.53/6.95 substitution0:
% 6.53/6.95 X := X
% 6.53/6.95 Y := Y
% 6.53/6.95 Z := Z
% 6.53/6.95 T := T
% 6.53/6.95 U := U
% 6.53/6.95 W := W
% 6.53/6.95 V0 := Z
% 6.53/6.95 V1 := T
% 6.53/6.95 end
% 6.53/6.95 substitution1:
% 6.53/6.95 X := X
% 6.53/6.95 Y := Y
% 6.53/6.95 Z := U
% 6.53/6.95 T := W
% 6.53/6.95 U := Z
% 6.53/6.95 W := T
% 6.53/6.95 end
% 6.53/6.95
% 6.53/6.95 subsumption: (754) {G1,W14,D2,L2,V6,M2} R(39,17) { ! para( X, Y, Z, T ),
% 6.53/6.95 eqangle( Y, X, U, W, Z, T, U, W ) }.
% 6.53/6.95 parent0: (32038) {G1,W14,D2,L2,V6,M2} { eqangle( Y, X, Z, T, U, W, Z, T )
% 6.53/6.95 , ! para( X, Y, U, W ) }.
% 6.53/6.95 substitution0:
% 6.53/6.95 X := X
% 6.53/6.95 Y := Y
% 6.53/6.95 Z := U
% 6.53/6.95 T := W
% 6.53/6.95 U := Z
% 6.53/6.95 W := T
% 6.53/6.95 end
% 6.53/6.95 permutation0:
% 6.53/6.95 0 ==> 1
% 6.53/6.95 1 ==> 0
% 6.53/6.95 end
% 6.53/6.95
% 6.53/6.95 resolution: (32039) {G1,W10,D2,L2,V3,M2} { para( X, Y, X, Y ), ! cyclic( Y
% 6.53/6.95 , Z, X, X ) }.
% 6.53/6.95 parent0[0]: (38) {G0,W14,D2,L2,V6,M2} I { ! eqangle( X, Y, U, W, Z, T, U, W
% 6.53/6.95 ), para( X, Y, Z, T ) }.
% 6.53/6.95 parent1[1]: (40) {G0,W14,D2,L2,V4,M2} I { ! cyclic( X, Y, Z, T ), eqangle(
% 6.53/6.95 Z, X, Z, Y, T, X, T, Y ) }.
% 6.53/6.95 substitution0:
% 6.53/6.95 X := X
% 6.53/6.95 Y := Y
% 6.53/6.95 Z := X
% 6.53/6.95 T := Y
% 6.53/6.95 U := X
% 6.53/6.95 W := Z
% 6.53/6.95 end
% 6.53/6.95 substitution1:
% 6.53/6.95 X := Y
% 6.53/6.95 Y := Z
% 6.53/6.95 Z := X
% 6.53/6.95 T := X
% 6.53/6.95 end
% 6.53/6.95
% 6.53/6.95 subsumption: (759) {G1,W10,D2,L2,V3,M2} R(40,38) { ! cyclic( X, Y, Z, Z ),
% 6.53/6.95 para( Z, X, Z, X ) }.
% 6.53/6.95 parent0: (32039) {G1,W10,D2,L2,V3,M2} { para( X, Y, X, Y ), ! cyclic( Y, Z
% 6.53/6.95 , X, X ) }.
% 6.53/6.95 substitution0:
% 6.53/6.95 X := Z
% 6.53/6.95 Y := X
% 6.53/6.95 Z := Y
% 6.53/6.95 end
% 6.53/6.95 permutation0:
% 6.53/6.95 0 ==> 1
% 6.53/6.95 1 ==> 0
% 6.53/6.95 end
% 6.53/6.95
% 6.53/6.95 resolution: (32040) {G1,W18,D2,L3,V4,M3} { ! coll( X, T, Z ), cyclic( Y, Z
% 6.53/6.95 , X, T ), ! eqangle( X, Z, X, Y, T, Z, T, Y ) }.
% 6.53/6.95 parent0[0]: (42) {G0,W18,D2,L3,V4,M3} I { ! eqangle( Z, X, Z, Y, T, X, T, Y
% 6.53/6.95 ), ! coll( Z, T, Y ), cyclic( X, Y, Z, T ) }.
% 6.53/6.95 parent1[1]: (18) {G0,W18,D2,L2,V8,M2} I { ! eqangle( X, Y, Z, T, U, W, V0,
% 6.53/6.95 V1 ), eqangle( Z, T, X, Y, V0, V1, U, W ) }.
% 6.53/6.95 substitution0:
% 6.53/6.95 X := Y
% 6.53/6.95 Y := Z
% 6.53/6.95 Z := X
% 6.53/6.95 T := T
% 6.53/6.95 end
% 6.53/6.95 substitution1:
% 6.53/6.95 X := X
% 6.53/6.95 Y := Z
% 6.53/6.95 Z := X
% 6.53/6.95 T := Y
% 6.53/6.95 U := T
% 6.53/6.95 W := Z
% 6.53/6.95 V0 := T
% 6.53/6.95 V1 := Y
% 6.53/6.95 end
% 6.53/6.95
% 6.53/6.95 subsumption: (811) {G1,W18,D2,L3,V4,M3} R(42,18) { ! coll( X, Y, Z ),
% 6.53/6.95 cyclic( T, Z, X, Y ), ! eqangle( X, Z, X, T, Y, Z, Y, T ) }.
% 6.53/6.95 parent0: (32040) {G1,W18,D2,L3,V4,M3} { ! coll( X, T, Z ), cyclic( Y, Z, X
% 6.53/6.95 , T ), ! eqangle( X, Z, X, Y, T, Z, T, Y ) }.
% 6.53/6.95 substitution0:
% 6.53/6.95 X := X
% 6.53/6.95 Y := T
% 6.53/6.95 Z := Z
% 6.53/6.95 T := Y
% 6.53/6.95 end
% 6.53/6.95 permutation0:
% 6.53/6.95 0 ==> 0
% 6.53/6.95 1 ==> 1
% 6.53/6.95 2 ==> 2
% 6.53/6.95 end
% 6.53/6.95
% 6.53/6.95 resolution: (32041) {G1,W12,D3,L2,V1,M2} { ! perp( skol24, skol26, skol25
% 6.53/6.95 , skol26 ), coll( skol10( X, skol24, skol26 ), skol26, skol24 ) }.
% 6.53/6.95 parent0[0]: (94) {G0,W17,D3,L3,V5,M3} I { ! perp( X, T, Y, Z ), ! perp( Y,
% 6.53/6.95 T, X, Z ), coll( skol10( U, Y, Z ), Z, Y ) }.
% 6.53/6.95 parent1[0]: (391) {G5,W5,D2,L1,V0,M1} R(387,7) { perp( skol25, skol26,
% 6.53/6.95 skol24, skol26 ) }.
% 6.53/6.95 substitution0:
% 6.53/6.95 X := skol25
% 6.53/6.95 Y := skol24
% 6.53/6.95 Z := skol26
% 6.53/6.95 T := skol26
% 6.53/6.95 U := X
% 6.53/6.95 end
% 6.53/6.95 substitution1:
% 6.53/6.95 end
% 6.53/6.95
% 6.53/6.95 resolution: (32043) {G2,W7,D3,L1,V1,M1} { coll( skol10( X, skol24, skol26
% 6.53/6.95 ), skol26, skol24 ) }.
% 6.53/6.95 parent0[0]: (32041) {G1,W12,D3,L2,V1,M2} { ! perp( skol24, skol26, skol25
% 6.53/6.95 , skol26 ), coll( skol10( X, skol24, skol26 ), skol26, skol24 ) }.
% 6.53/6.95 parent1[0]: (387) {G4,W5,D2,L1,V0,M1} R(383,6) { perp( skol24, skol26,
% 6.53/6.95 skol25, skol26 ) }.
% 6.53/6.95 substitution0:
% 6.53/6.95 X := X
% 6.53/6.95 end
% 6.53/6.95 substitution1:
% 6.53/6.95 end
% 6.53/6.95
% 6.53/6.95 subsumption: (3837) {G6,W7,D3,L1,V1,M1} R(94,391);r(387) { coll( skol10( X
% 6.53/6.95 , skol24, skol26 ), skol26, skol24 ) }.
% 6.53/6.95 parent0: (32043) {G2,W7,D3,L1,V1,M1} { coll( skol10( X, skol24, skol26 ),
% 6.53/6.95 skol26, skol24 ) }.
% 6.53/6.95 substitution0:
% 6.53/6.95 X := X
% 6.53/6.95 end
% 6.53/6.95 permutation0:
% 6.53/6.95 0 ==> 0
% 6.53/6.95 end
% 6.53/6.95
% 6.53/6.95 resolution: (32044) {G7,W4,D2,L1,V0,M1} { coll( skol26, skol26, skol24 )
% 6.53/6.95 }.
% 6.53/6.95 parent0[1]: (429) {G10,W8,D2,L2,V3,M2} R(425,413) { coll( X, X, Y ), ! coll
% 6.53/6.95 ( Z, X, Y ) }.
% 6.53/6.95 parent1[0]: (3837) {G6,W7,D3,L1,V1,M1} R(94,391);r(387) { coll( skol10( X,
% 6.53/6.95 skol24, skol26 ), skol26, skol24 ) }.
% 6.53/6.95 substitution0:
% 6.53/6.95 X := skol26
% 6.53/6.95 Y := skol24
% 6.53/6.95 Z := skol10( X, skol24, skol26 )
% 6.53/6.95 end
% 6.53/6.95 substitution1:
% 6.53/6.95 X := X
% 6.53/6.95 end
% 6.53/6.95
% 6.53/6.95 subsumption: (3900) {G11,W4,D2,L1,V0,M1} R(3837,429) { coll( skol26, skol26
% 6.53/6.95 , skol24 ) }.
% 6.53/6.95 parent0: (32044) {G7,W4,D2,L1,V0,M1} { coll( skol26, skol26, skol24 ) }.
% 6.53/6.95 substitution0:
% 6.53/6.95 end
% 6.53/6.95 permutation0:
% 6.53/6.95 0 ==> 0
% 6.53/6.95 end
% 6.53/6.95
% 6.53/6.95 resolution: (32045) {G1,W9,D2,L2,V0,M2} { ! perp( skol26, skol24, skol26,
% 6.53/6.95 skol25 ), alpha1( skol26, skol26, skol25 ) }.
% 6.53/6.95 parent0[0]: (96) {G0,W14,D2,L3,V4,M3} I { ! perp( X, T, Y, Z ), ! perp( Y,
% 6.53/6.95 T, X, Z ), alpha1( X, Y, Z ) }.
% 6.53/6.95 parent1[0]: (116) {G0,W5,D2,L1,V0,M1} I { perp( skol26, skol24, skol26,
% 6.53/6.95 skol25 ) }.
% 6.53/6.95 substitution0:
% 6.53/6.95 X := skol26
% 6.53/6.95 Y := skol26
% 6.53/6.95 Z := skol25
% 6.53/6.95 T := skol24
% 6.53/6.95 end
% 6.53/6.95 substitution1:
% 6.53/6.95 end
% 6.53/6.95
% 6.53/6.95 resolution: (32046) {G1,W4,D2,L1,V0,M1} { alpha1( skol26, skol26, skol25 )
% 6.53/6.95 }.
% 6.53/6.95 parent0[0]: (32045) {G1,W9,D2,L2,V0,M2} { ! perp( skol26, skol24, skol26,
% 6.53/6.95 skol25 ), alpha1( skol26, skol26, skol25 ) }.
% 6.53/6.95 parent1[0]: (116) {G0,W5,D2,L1,V0,M1} I { perp( skol26, skol24, skol26,
% 6.53/6.95 skol25 ) }.
% 6.53/6.95 substitution0:
% 6.53/6.95 end
% 6.53/6.95 substitution1:
% 6.53/6.95 end
% 6.53/6.95
% 6.53/6.95 subsumption: (4032) {G1,W4,D2,L1,V0,M1} R(96,116);r(116) { alpha1( skol26,
% 6.53/6.95 skol26, skol25 ) }.
% 6.53/6.95 parent0: (32046) {G1,W4,D2,L1,V0,M1} { alpha1( skol26, skol26, skol25 )
% 6.53/6.95 }.
% 6.53/6.95 substitution0:
% 6.53/6.95 end
% 6.53/6.95 permutation0:
% 6.53/6.95 0 ==> 0
% 6.53/6.95 end
% 6.53/6.95
% 6.53/6.95 resolution: (32047) {G1,W7,D3,L1,V1,M1} { coll( skol11( skol26, X, skol25
% 6.53/6.95 ), skol25, skol26 ) }.
% 6.53/6.95 parent0[0]: (97) {G0,W11,D3,L2,V4,M2} I { ! alpha1( X, Y, Z ), coll( skol11
% 6.53/6.95 ( X, T, Z ), Z, X ) }.
% 6.53/6.95 parent1[0]: (4032) {G1,W4,D2,L1,V0,M1} R(96,116);r(116) { alpha1( skol26,
% 6.53/6.95 skol26, skol25 ) }.
% 6.53/6.95 substitution0:
% 6.53/6.95 X := skol26
% 6.53/6.95 Y := skol26
% 6.53/6.95 Z := skol25
% 6.53/6.95 T := X
% 6.53/6.95 end
% 6.53/6.95 substitution1:
% 6.53/6.95 end
% 6.53/6.95
% 6.53/6.95 subsumption: (4037) {G2,W7,D3,L1,V1,M1} R(97,4032) { coll( skol11( skol26,
% 6.53/6.95 X, skol25 ), skol25, skol26 ) }.
% 6.53/6.95 parent0: (32047) {G1,W7,D3,L1,V1,M1} { coll( skol11( skol26, X, skol25 ),
% 6.53/6.95 skol25, skol26 ) }.
% 6.53/6.95 substitution0:
% 6.53/6.95 X := X
% 6.53/6.95 end
% 6.53/6.95 permutation0:
% 6.53/6.95 0 ==> 0
% 6.53/6.95 end
% 6.53/6.95
% 6.53/6.95 resolution: (32048) {G3,W4,D2,L1,V0,M1} { coll( skol26, skol26, skol25 )
% 6.53/6.95 }.
% 6.53/6.95 parent0[1]: (428) {G10,W8,D2,L2,V3,M2} R(425,415) { coll( X, X, Y ), ! coll
% 6.53/6.95 ( Z, Y, X ) }.
% 6.53/6.95 parent1[0]: (4037) {G2,W7,D3,L1,V1,M1} R(97,4032) { coll( skol11( skol26, X
% 6.53/6.95 , skol25 ), skol25, skol26 ) }.
% 6.53/6.95 substitution0:
% 6.53/6.95 X := skol26
% 6.53/6.95 Y := skol25
% 6.53/6.95 Z := skol11( skol26, X, skol25 )
% 6.53/6.95 end
% 6.53/6.95 substitution1:
% 6.53/6.95 X := X
% 6.53/6.95 end
% 6.53/6.95
% 6.53/6.95 subsumption: (4152) {G11,W4,D2,L1,V0,M1} R(4037,428) { coll( skol26, skol26
% 6.53/6.95 , skol25 ) }.
% 6.53/6.95 parent0: (32048) {G3,W4,D2,L1,V0,M1} { coll( skol26, skol26, skol25 ) }.
% 6.53/6.95 substitution0:
% 6.53/6.95 end
% 6.53/6.95 permutation0:
% 6.53/6.95 0 ==> 0
% 6.53/6.95 end
% 6.53/6.95
% 6.53/6.95 resolution: (32049) {G1,W8,D2,L2,V1,M2} { ! coll( skol26, skol26, X ),
% 6.53/6.95 coll( skol25, X, skol26 ) }.
% 6.53/6.95 parent0[0]: (2) {G0,W12,D2,L3,V4,M3} I { ! coll( X, T, Y ), ! coll( X, T, Z
% 6.53/6.95 ), coll( Y, Z, X ) }.
% 6.53/6.95 parent1[0]: (4152) {G11,W4,D2,L1,V0,M1} R(4037,428) { coll( skol26, skol26
% 6.53/6.95 , skol25 ) }.
% 6.53/6.95 substitution0:
% 6.53/6.95 X := skol26
% 6.53/6.95 Y := skol25
% 6.53/6.95 Z := X
% 6.53/6.95 T := skol26
% 6.53/6.95 end
% 6.53/6.95 substitution1:
% 6.53/6.95 end
% 6.53/6.95
% 6.53/6.95 subsumption: (4209) {G12,W8,D2,L2,V1,M2} R(4152,2) { ! coll( skol26, skol26
% 6.53/6.95 , X ), coll( skol25, X, skol26 ) }.
% 6.53/6.95 parent0: (32049) {G1,W8,D2,L2,V1,M2} { ! coll( skol26, skol26, X ), coll(
% 6.53/6.95 skol25, X, skol26 ) }.
% 6.53/6.95 substitution0:
% 6.53/6.95 X := X
% 6.53/6.95 end
% 6.53/6.95 permutation0:
% 6.53/6.95 0 ==> 0
% 6.53/6.95 1 ==> 1
% 6.53/6.95 end
% 6.53/6.95
% 6.53/6.95 resolution: (32051) {G7,W4,D2,L1,V0,M1} { coll( skol25, skol20, skol26 )
% 6.53/6.95 }.
% 6.53/6.95 parent0[0]: (4209) {G12,W8,D2,L2,V1,M2} R(4152,2) { ! coll( skol26, skol26
% 6.53/6.95 , X ), coll( skol25, X, skol26 ) }.
% 6.53/6.95 parent1[0]: (268) {G6,W4,D2,L1,V0,M1} R(231,0) { coll( skol26, skol26,
% 6.53/6.95 skol20 ) }.
% 6.53/6.95 substitution0:
% 6.53/6.95 X := skol20
% 6.53/6.95 end
% 6.53/6.95 substitution1:
% 6.53/6.95 end
% 6.53/6.95
% 6.53/6.95 subsumption: (7934) {G13,W4,D2,L1,V0,M1} R(4209,268) { coll( skol25, skol20
% 6.53/6.95 , skol26 ) }.
% 6.53/6.95 parent0: (32051) {G7,W4,D2,L1,V0,M1} { coll( skol25, skol20, skol26 ) }.
% 6.53/6.95 substitution0:
% 6.53/6.95 end
% 6.53/6.95 permutation0:
% 6.53/6.95 0 ==> 0
% 6.53/6.95 end
% 6.53/6.95
% 6.53/6.95 resolution: (32052) {G2,W4,D2,L1,V0,M1} { coll( skol20, skol26, skol25 )
% 6.53/6.95 }.
% 6.53/6.95 parent0[0]: (171) {G1,W8,D2,L2,V3,M2} R(1,0) { ! coll( X, Y, Z ), coll( Y,
% 6.53/6.95 Z, X ) }.
% 6.53/6.95 parent1[0]: (7934) {G13,W4,D2,L1,V0,M1} R(4209,268) { coll( skol25, skol20
% 6.53/6.95 , skol26 ) }.
% 6.53/6.95 substitution0:
% 6.53/6.95 X := skol25
% 6.53/6.95 Y := skol20
% 6.53/6.95 Z := skol26
% 6.53/6.95 end
% 6.53/6.95 substitution1:
% 6.53/6.95 end
% 6.53/6.95
% 6.53/6.95 subsumption: (8245) {G14,W4,D2,L1,V0,M1} R(7934,171) { coll( skol20, skol26
% 6.53/6.95 , skol25 ) }.
% 6.53/6.95 parent0: (32052) {G2,W4,D2,L1,V0,M1} { coll( skol20, skol26, skol25 ) }.
% 6.53/6.95 substitution0:
% 6.53/6.95 end
% 6.53/6.95 permutation0:
% 6.53/6.95 0 ==> 0
% 6.53/6.95 end
% 6.53/6.95
% 6.53/6.95 resolution: (32053) {G3,W8,D2,L2,V0,M2} { coll( skol20, skol22, skol32 ),
% 6.53/6.95 ! coll( skol20, skol26, skol25 ) }.
% 6.53/6.95 parent0[0]: (217) {G2,W8,D2,L2,V1,M2} R(173,2) { ! coll( skol32, skol25, X
% 6.53/6.95 ), coll( X, skol22, skol32 ) }.
% 6.53/6.95 parent1[1]: (214) {G2,W8,D2,L2,V1,M2} R(172,2) { ! coll( skol20, skol26, X
% 6.53/6.95 ), coll( skol32, X, skol20 ) }.
% 6.53/6.95 substitution0:
% 6.53/6.95 X := skol20
% 6.53/6.95 end
% 6.53/6.95 substitution1:
% 6.53/6.95 X := skol25
% 6.53/6.95 end
% 6.53/6.95
% 6.53/6.95 resolution: (32054) {G4,W4,D2,L1,V0,M1} { coll( skol20, skol22, skol32 )
% 6.53/6.95 }.
% 6.53/6.95 parent0[1]: (32053) {G3,W8,D2,L2,V0,M2} { coll( skol20, skol22, skol32 ),
% 6.53/6.95 ! coll( skol20, skol26, skol25 ) }.
% 6.53/6.95 parent1[0]: (8245) {G14,W4,D2,L1,V0,M1} R(7934,171) { coll( skol20, skol26
% 6.53/6.95 , skol25 ) }.
% 6.53/6.95 substitution0:
% 6.53/6.95 end
% 6.53/6.95 substitution1:
% 6.53/6.95 end
% 6.53/6.95
% 6.53/6.95 subsumption: (12954) {G15,W4,D2,L1,V0,M1} R(217,214);r(8245) { coll( skol20
% 6.53/6.95 , skol22, skol32 ) }.
% 6.53/6.95 parent0: (32054) {G4,W4,D2,L1,V0,M1} { coll( skol20, skol22, skol32 ) }.
% 6.53/6.95 substitution0:
% 6.53/6.95 end
% 6.53/6.95 permutation0:
% 6.53/6.95 0 ==> 0
% 6.53/6.95 end
% 6.53/6.95
% 6.53/6.95 resolution: (32055) {G1,W4,D2,L1,V0,M1} { coll( skol20, skol32, skol22 )
% 6.53/6.95 }.
% 6.53/6.95 parent0[0]: (0) {G0,W8,D2,L2,V3,M2} I { ! coll( X, Y, Z ), coll( X, Z, Y )
% 6.53/6.95 }.
% 6.53/6.95 parent1[0]: (12954) {G15,W4,D2,L1,V0,M1} R(217,214);r(8245) { coll( skol20
% 6.53/6.95 , skol22, skol32 ) }.
% 6.53/6.95 substitution0:
% 6.53/6.95 X := skol20
% 6.53/6.95 Y := skol22
% 6.53/6.95 Z := skol32
% 6.53/6.95 end
% 6.53/6.95 substitution1:
% 6.53/6.95 end
% 6.53/6.95
% 6.53/6.95 subsumption: (13005) {G16,W4,D2,L1,V0,M1} R(12954,0) { coll( skol20, skol32
% 6.53/6.95 , skol22 ) }.
% 6.53/6.95 parent0: (32055) {G1,W4,D2,L1,V0,M1} { coll( skol20, skol32, skol22 ) }.
% 6.53/6.95 substitution0:
% 6.53/6.95 end
% 6.53/6.95 permutation0:
% 6.53/6.95 0 ==> 0
% 6.53/6.95 end
% 6.53/6.95
% 6.53/6.95 resolution: (32056) {G6,W4,D2,L1,V0,M1} { coll( skol22, skol26, skol20 )
% 6.53/6.95 }.
% 6.53/6.95 parent0[0]: (213) {G5,W8,D2,L2,V1,M2} R(211,2) { ! coll( skol20, skol32, X
% 6.53/6.95 ), coll( X, skol26, skol20 ) }.
% 6.53/6.95 parent1[0]: (13005) {G16,W4,D2,L1,V0,M1} R(12954,0) { coll( skol20, skol32
% 6.53/6.95 , skol22 ) }.
% 6.53/6.95 substitution0:
% 6.53/6.95 X := skol22
% 6.53/6.95 end
% 6.53/6.95 substitution1:
% 6.53/6.95 end
% 6.53/6.95
% 6.53/6.95 subsumption: (13081) {G17,W4,D2,L1,V0,M1} R(13005,213) { coll( skol22,
% 6.53/6.95 skol26, skol20 ) }.
% 6.53/6.95 parent0: (32056) {G6,W4,D2,L1,V0,M1} { coll( skol22, skol26, skol20 ) }.
% 6.53/6.95 substitution0:
% 6.53/6.95 end
% 6.53/6.95 permutation0:
% 6.53/6.95 0 ==> 0
% 6.53/6.95 end
% 6.53/6.95
% 6.53/6.95 resolution: (32057) {G10,W4,D2,L1,V0,M1} { coll( skol20, skol26, skol22 )
% 6.53/6.95 }.
% 6.53/6.95 parent0[0]: (425) {G9,W8,D2,L2,V3,M2} F(424) { ! coll( X, Y, Z ), coll( Z,
% 6.53/6.95 Y, X ) }.
% 6.53/6.95 parent1[0]: (13081) {G17,W4,D2,L1,V0,M1} R(13005,213) { coll( skol22,
% 6.53/6.95 skol26, skol20 ) }.
% 6.53/6.95 substitution0:
% 6.53/6.95 X := skol22
% 6.53/6.95 Y := skol26
% 6.53/6.95 Z := skol20
% 6.53/6.95 end
% 6.53/6.95 substitution1:
% 6.53/6.95 end
% 6.53/6.95
% 6.53/6.95 subsumption: (13124) {G18,W4,D2,L1,V0,M1} R(13081,425) { coll( skol20,
% 6.53/6.95 skol26, skol22 ) }.
% 6.53/6.95 parent0: (32057) {G10,W4,D2,L1,V0,M1} { coll( skol20, skol26, skol22 ) }.
% 6.53/6.95 substitution0:
% 6.53/6.95 end
% 6.53/6.95 permutation0:
% 6.53/6.95 0 ==> 0
% 6.53/6.95 end
% 6.53/6.95
% 6.53/6.95 resolution: (32058) {G6,W4,D2,L1,V0,M1} { ! coll( skol20, skol26, skol23 )
% 6.53/6.95 }.
% 6.53/6.95 parent0[0]: (182) {G5,W8,D2,L2,V1,M2} R(2,176) { ! coll( skol20, X, skol22
% 6.53/6.95 ), ! coll( skol20, X, skol23 ) }.
% 6.53/6.95 parent1[0]: (13124) {G18,W4,D2,L1,V0,M1} R(13081,425) { coll( skol20,
% 6.53/6.95 skol26, skol22 ) }.
% 6.53/6.95 substitution0:
% 6.53/6.95 X := skol26
% 6.53/6.95 end
% 6.53/6.95 substitution1:
% 6.53/6.95 end
% 6.53/6.95
% 6.53/6.95 subsumption: (13293) {G19,W4,D2,L1,V0,M1} R(13124,182) { ! coll( skol20,
% 6.53/6.95 skol26, skol23 ) }.
% 6.53/6.95 parent0: (32058) {G6,W4,D2,L1,V0,M1} { ! coll( skol20, skol26, skol23 )
% 6.53/6.95 }.
% 6.53/6.95 substitution0:
% 6.53/6.95 end
% 6.53/6.95 permutation0:
% 6.53/6.95 0 ==> 0
% 6.53/6.95 end
% 6.53/6.95
% 6.53/6.95 resolution: (32059) {G1,W4,D2,L1,V0,M1} { ! coll( skol20, skol23, skol26 )
% 6.53/6.95 }.
% 6.53/6.95 parent0[0]: (13293) {G19,W4,D2,L1,V0,M1} R(13124,182) { ! coll( skol20,
% 6.53/6.95 skol26, skol23 ) }.
% 6.53/6.95 parent1[1]: (0) {G0,W8,D2,L2,V3,M2} I { ! coll( X, Y, Z ), coll( X, Z, Y )
% 6.53/6.95 }.
% 6.53/6.95 substitution0:
% 6.53/6.95 end
% 6.53/6.95 substitution1:
% 6.53/6.95 X := skol20
% 6.53/6.95 Y := skol23
% 6.53/6.95 Z := skol26
% 6.53/6.95 end
% 6.53/6.95
% 6.53/6.95 subsumption: (13325) {G20,W4,D2,L1,V0,M1} R(13293,0) { ! coll( skol20,
% 6.53/6.95 skol23, skol26 ) }.
% 6.53/6.95 parent0: (32059) {G1,W4,D2,L1,V0,M1} { ! coll( skol20, skol23, skol26 )
% 6.53/6.95 }.
% 6.53/6.95 substitution0:
% 6.53/6.95 end
% 6.53/6.95 permutation0:
% 6.53/6.95 0 ==> 0
% 6.53/6.95 end
% 6.53/6.95
% 6.53/6.95 resolution: (32060) {G8,W4,D2,L1,V0,M1} { ! coll( skol26, skol26, skol23 )
% 6.53/6.95 }.
% 6.53/6.95 parent0[0]: (13325) {G20,W4,D2,L1,V0,M1} R(13293,0) { ! coll( skol20,
% 6.53/6.95 skol23, skol26 ) }.
% 6.53/6.95 parent1[1]: (283) {G7,W8,D2,L2,V1,M2} R(268,2) { ! coll( skol26, skol26, X
% 6.53/6.95 ), coll( skol20, X, skol26 ) }.
% 6.53/6.95 substitution0:
% 6.53/6.95 end
% 6.53/6.95 substitution1:
% 6.53/6.95 X := skol23
% 6.53/6.95 end
% 6.53/6.95
% 6.53/6.95 subsumption: (14508) {G21,W4,D2,L1,V0,M1} R(283,13325) { ! coll( skol26,
% 6.53/6.95 skol26, skol23 ) }.
% 6.53/6.95 parent0: (32060) {G8,W4,D2,L1,V0,M1} { ! coll( skol26, skol26, skol23 )
% 6.53/6.95 }.
% 6.53/6.95 substitution0:
% 6.53/6.95 end
% 6.53/6.95 permutation0:
% 6.53/6.95 0 ==> 0
% 6.53/6.95 end
% 6.53/6.95
% 6.53/6.95 resolution: (32061) {G11,W4,D2,L1,V1,M1} { ! coll( skol26, skol23, X ) }.
% 6.53/6.95 parent0[0]: (14508) {G21,W4,D2,L1,V0,M1} R(283,13325) { ! coll( skol26,
% 6.53/6.95 skol26, skol23 ) }.
% 6.53/6.95 parent1[0]: (427) {G10,W8,D2,L2,V3,M2} R(425,414) { coll( X, X, Y ), ! coll
% 6.53/6.95 ( X, Y, Z ) }.
% 6.53/6.95 substitution0:
% 6.53/6.95 end
% 6.53/6.95 substitution1:
% 6.53/6.95 X := skol26
% 6.53/6.95 Y := skol23
% 6.53/6.95 Z := X
% 6.53/6.95 end
% 6.53/6.95
% 6.53/6.95 subsumption: (14580) {G22,W4,D2,L1,V1,M1} R(14508,427) { ! coll( skol26,
% 6.53/6.95 skol23, X ) }.
% 6.53/6.95 parent0: (32061) {G11,W4,D2,L1,V1,M1} { ! coll( skol26, skol23, X ) }.
% 6.53/6.95 substitution0:
% 6.53/6.95 X := X
% 6.53/6.95 end
% 6.53/6.95 permutation0:
% 6.53/6.95 0 ==> 0
% 6.53/6.95 end
% 6.53/6.95
% 6.53/6.95 resolution: (32062) {G1,W5,D2,L1,V1,M1} { ! para( skol26, skol23, skol26,
% 6.53/6.95 X ) }.
% 6.53/6.95 parent0[0]: (14580) {G22,W4,D2,L1,V1,M1} R(14508,427) { ! coll( skol26,
% 6.53/6.95 skol23, X ) }.
% 6.53/6.95 parent1[1]: (66) {G0,W9,D2,L2,V3,M2} I { ! para( X, Y, X, Z ), coll( X, Y,
% 6.53/6.95 Z ) }.
% 6.53/6.95 substitution0:
% 6.53/6.95 X := X
% 6.53/6.95 end
% 6.53/6.95 substitution1:
% 6.53/6.95 X := skol26
% 6.53/6.95 Y := skol23
% 6.53/6.95 Z := X
% 6.53/6.95 end
% 6.53/6.95
% 6.53/6.95 subsumption: (14683) {G23,W5,D2,L1,V1,M1} R(14580,66) { ! para( skol26,
% 6.53/6.95 skol23, skol26, X ) }.
% 6.53/6.95 parent0: (32062) {G1,W5,D2,L1,V1,M1} { ! para( skol26, skol23, skol26, X )
% 6.53/6.95 }.
% 6.53/6.95 substitution0:
% 6.53/6.95 X := X
% 6.53/6.95 end
% 6.53/6.95 permutation0:
% 6.53/6.95 0 ==> 0
% 6.53/6.95 end
% 6.53/6.95
% 6.53/6.95 resolution: (32063) {G3,W5,D2,L1,V2,M1} { ! para( skol26, skol23, X, Y )
% 6.53/6.95 }.
% 6.53/6.95 parent0[0]: (14683) {G23,W5,D2,L1,V1,M1} R(14580,66) { ! para( skol26,
% 6.53/6.95 skol23, skol26, X ) }.
% 6.53/6.95 parent1[1]: (226) {G2,W10,D2,L2,V4,M2} F(222) { ! para( X, Y, Z, T ), para
% 6.53/6.95 ( X, Y, X, Y ) }.
% 6.53/6.95 substitution0:
% 6.53/6.95 X := skol23
% 6.53/6.95 end
% 6.53/6.95 substitution1:
% 6.53/6.95 X := skol26
% 6.53/6.95 Y := skol23
% 6.53/6.95 Z := X
% 6.53/6.95 T := Y
% 6.53/6.95 end
% 6.53/6.95
% 6.53/6.95 subsumption: (15444) {G24,W5,D2,L1,V2,M1} R(14683,226) { ! para( skol26,
% 6.53/6.95 skol23, X, Y ) }.
% 6.53/6.95 parent0: (32063) {G3,W5,D2,L1,V2,M1} { ! para( skol26, skol23, X, Y ) }.
% 6.53/6.95 substitution0:
% 6.53/6.95 X := X
% 6.53/6.95 Y := Y
% 6.53/6.95 end
% 6.53/6.95 permutation0:
% 6.53/6.95 0 ==> 0
% 6.53/6.95 end
% 6.53/6.95
% 6.53/6.95 resolution: (32064) {G3,W5,D2,L1,V0,M1} { para( skol24, skol26, skol26,
% 6.53/6.95 skol24 ) }.
% 6.53/6.95 parent0[0]: (362) {G2,W10,D2,L2,V2,M2} R(261,8) { ! perp( X, Y, skol26,
% 6.53/6.95 skol25 ), para( X, Y, skol26, skol24 ) }.
% 6.53/6.95 parent1[0]: (383) {G3,W5,D2,L1,V0,M1} R(363,7) { perp( skol24, skol26,
% 6.53/6.95 skol26, skol25 ) }.
% 6.53/6.95 substitution0:
% 6.53/6.95 X := skol24
% 6.53/6.95 Y := skol26
% 6.53/6.95 end
% 6.53/6.95 substitution1:
% 6.53/6.95 end
% 6.53/6.95
% 6.53/6.95 subsumption: (17211) {G4,W5,D2,L1,V0,M1} R(362,383) { para( skol24, skol26
% 6.53/6.95 , skol26, skol24 ) }.
% 6.53/6.95 parent0: (32064) {G3,W5,D2,L1,V0,M1} { para( skol24, skol26, skol26,
% 6.53/6.95 skol24 ) }.
% 6.53/6.95 substitution0:
% 6.53/6.95 end
% 6.53/6.95 permutation0:
% 6.53/6.95 0 ==> 0
% 6.53/6.95 end
% 6.53/6.95
% 6.53/6.95 resolution: (32065) {G2,W9,D2,L1,V2,M1} { eqangle( skol26, skol24, X, Y,
% 6.53/6.95 skol26, skol24, X, Y ) }.
% 6.53/6.95 parent0[0]: (754) {G1,W14,D2,L2,V6,M2} R(39,17) { ! para( X, Y, Z, T ),
% 6.53/6.95 eqangle( Y, X, U, W, Z, T, U, W ) }.
% 6.53/6.95 parent1[0]: (17211) {G4,W5,D2,L1,V0,M1} R(362,383) { para( skol24, skol26,
% 6.53/6.95 skol26, skol24 ) }.
% 6.53/6.95 substitution0:
% 6.53/6.95 X := skol24
% 6.53/6.95 Y := skol26
% 6.53/6.95 Z := skol26
% 6.53/6.95 T := skol24
% 6.53/6.95 U := X
% 6.53/6.95 W := Y
% 6.53/6.95 end
% 6.53/6.95 substitution1:
% 6.53/6.95 end
% 6.53/6.95
% 6.53/6.95 subsumption: (29194) {G5,W9,D2,L1,V2,M1} R(754,17211) { eqangle( skol26,
% 6.53/6.95 skol24, X, Y, skol26, skol24, X, Y ) }.
% 6.53/6.95 parent0: (32065) {G2,W9,D2,L1,V2,M1} { eqangle( skol26, skol24, X, Y,
% 6.53/6.95 skol26, skol24, X, Y ) }.
% 6.53/6.95 substitution0:
% 6.53/6.95 X := X
% 6.53/6.95 Y := Y
% 6.53/6.95 end
% 6.53/6.95 permutation0:
% 6.53/6.95 0 ==> 0
% 6.53/6.95 end
% 6.53/6.95
% 6.53/6.95 resolution: (32066) {G2,W5,D2,L1,V1,M1} { ! cyclic( skol23, X, skol26,
% 6.53/6.95 skol26 ) }.
% 6.53/6.95 parent0[0]: (15444) {G24,W5,D2,L1,V2,M1} R(14683,226) { ! para( skol26,
% 6.53/6.95 skol23, X, Y ) }.
% 6.53/6.95 parent1[1]: (759) {G1,W10,D2,L2,V3,M2} R(40,38) { ! cyclic( X, Y, Z, Z ),
% 6.53/6.95 para( Z, X, Z, X ) }.
% 6.53/6.95 substitution0:
% 6.53/6.95 X := skol26
% 6.53/6.95 Y := skol23
% 6.53/6.95 end
% 6.53/6.95 substitution1:
% 6.53/6.95 X := skol23
% 6.53/6.95 Y := X
% 6.53/6.95 Z := skol26
% 6.53/6.95 end
% 6.53/6.95
% 6.53/6.95 subsumption: (29316) {G25,W5,D2,L1,V1,M1} R(759,15444) { ! cyclic( skol23,
% 6.53/6.95 X, skol26, skol26 ) }.
% 6.53/6.95 parent0: (32066) {G2,W5,D2,L1,V1,M1} { ! cyclic( skol23, X, skol26, skol26
% 6.53/6.95 ) }.
% 6.53/6.95 substitution0:
% 6.53/6.95 X := X
% 6.53/6.95 end
% 6.53/6.95 permutation0:
% 6.53/6.95 0 ==> 0
% 6.53/6.95 end
% 6.53/6.95
% 6.53/6.95 resolution: (32067) {G2,W10,D2,L2,V2,M2} { ! cyclic( Y, skol23, X, skol26
% 6.53/6.95 ), ! cyclic( skol23, Y, X, skol26 ) }.
% 6.53/6.95 parent0[0]: (29316) {G25,W5,D2,L1,V1,M1} R(759,15444) { ! cyclic( skol23, X
% 6.53/6.95 , skol26, skol26 ) }.
% 6.53/6.95 parent1[1]: (367) {G1,W15,D2,L3,V5,M3} R(16,15) { ! cyclic( X, Y, Z, T ),
% 6.53/6.95 cyclic( Y, Z, T, U ), ! cyclic( Y, X, Z, U ) }.
% 6.53/6.95 substitution0:
% 6.53/6.95 X := X
% 6.53/6.95 end
% 6.53/6.95 substitution1:
% 6.53/6.95 X := Y
% 6.53/6.95 Y := skol23
% 6.53/6.95 Z := X
% 6.53/6.95 T := skol26
% 6.53/6.95 U := skol26
% 6.53/6.95 end
% 6.53/6.95
% 6.53/6.95 resolution: (32070) {G1,W10,D2,L2,V2,M2} { ! cyclic( skol23, X, Y, skol26
% 6.53/6.95 ), ! cyclic( skol23, X, Y, skol26 ) }.
% 6.53/6.95 parent0[0]: (32067) {G2,W10,D2,L2,V2,M2} { ! cyclic( Y, skol23, X, skol26
% 6.53/6.95 ), ! cyclic( skol23, Y, X, skol26 ) }.
% 6.53/6.95 parent1[1]: (15) {G0,W10,D2,L2,V4,M2} I { ! cyclic( X, Y, Z, T ), cyclic( Y
% 6.53/6.95 , X, Z, T ) }.
% 6.53/6.95 substitution0:
% 6.53/6.95 X := Y
% 6.53/6.95 Y := X
% 6.53/6.95 end
% 6.53/6.95 substitution1:
% 6.53/6.95 X := skol23
% 6.53/6.95 Y := X
% 6.53/6.95 Z := Y
% 6.53/6.95 T := skol26
% 6.53/6.95 end
% 6.53/6.95
% 6.53/6.95 factor: (32072) {G1,W5,D2,L1,V2,M1} { ! cyclic( skol23, X, Y, skol26 ) }.
% 6.53/6.95 parent0[0, 1]: (32070) {G1,W10,D2,L2,V2,M2} { ! cyclic( skol23, X, Y,
% 6.53/6.95 skol26 ), ! cyclic( skol23, X, Y, skol26 ) }.
% 6.53/6.95 substitution0:
% 6.53/6.95 X := X
% 6.53/6.95 Y := Y
% 6.53/6.95 end
% 6.53/6.95
% 6.53/6.95 subsumption: (30429) {G26,W5,D2,L1,V2,M1} R(29316,367);r(15) { ! cyclic(
% 6.53/6.95 skol23, X, Y, skol26 ) }.
% 6.53/6.95 parent0: (32072) {G1,W5,D2,L1,V2,M1} { ! cyclic( skol23, X, Y, skol26 )
% 6.53/6.95 }.
% 6.53/6.95 substitution0:
% 6.53/6.95 X := X
% 6.53/6.95 Y := Y
% 6.53/6.95 end
% 6.53/6.95 permutation0:
% 6.53/6.95 0 ==> 0
% 6.53/6.95 end
% 6.53/6.95
% 6.53/6.95 resolution: (32074) {G2,W14,D2,L2,V1,M2} { cyclic( X, skol24, skol26,
% 6.53/6.95 skol26 ), ! eqangle( skol26, skol24, skol26, X, skol26, skol24, skol26, X
% 6.53/6.95 ) }.
% 6.53/6.95 parent0[0]: (811) {G1,W18,D2,L3,V4,M3} R(42,18) { ! coll( X, Y, Z ), cyclic
% 6.53/6.95 ( T, Z, X, Y ), ! eqangle( X, Z, X, T, Y, Z, Y, T ) }.
% 6.53/6.95 parent1[0]: (3900) {G11,W4,D2,L1,V0,M1} R(3837,429) { coll( skol26, skol26
% 6.53/6.95 , skol24 ) }.
% 6.53/6.95 substitution0:
% 6.53/6.95 X := skol26
% 6.53/6.95 Y := skol26
% 6.53/6.95 Z := skol24
% 6.53/6.95 T := X
% 6.53/6.95 end
% 6.53/6.95 substitution1:
% 6.53/6.95 end
% 6.53/6.95
% 6.53/6.95 resolution: (32075) {G3,W5,D2,L1,V1,M1} { cyclic( X, skol24, skol26,
% 6.53/6.95 skol26 ) }.
% 6.53/6.95 parent0[1]: (32074) {G2,W14,D2,L2,V1,M2} { cyclic( X, skol24, skol26,
% 6.53/6.95 skol26 ), ! eqangle( skol26, skol24, skol26, X, skol26, skol24, skol26, X
% 6.53/6.95 ) }.
% 6.53/6.95 parent1[0]: (29194) {G5,W9,D2,L1,V2,M1} R(754,17211) { eqangle( skol26,
% 6.53/6.95 skol24, X, Y, skol26, skol24, X, Y ) }.
% 6.53/6.95 substitution0:
% 6.53/6.95 X := X
% 6.53/6.95 end
% 6.53/6.95 substitution1:
% 6.53/6.95 X := skol26
% 6.53/6.95 Y := X
% 6.53/6.95 end
% 6.53/6.95
% 6.53/6.95 subsumption: (31143) {G12,W5,D2,L1,V1,M1} R(811,3900);r(29194) { cyclic( X
% 6.53/6.95 , skol24, skol26, skol26 ) }.
% 6.53/6.95 parent0: (32075) {G3,W5,D2,L1,V1,M1} { cyclic( X, skol24, skol26, skol26 )
% 6.53/6.95 }.
% 6.53/6.95 substitution0:
% 6.53/6.95 X := X
% 6.53/6.95 end
% 6.53/6.95 permutation0:
% 6.53/6.95 0 ==> 0
% 6.53/6.95 end
% 6.53/6.95
% 6.53/6.95 resolution: (32076) {G13,W0,D0,L0,V0,M0} { }.
% 6.53/6.95 parent0[0]: (30429) {G26,W5,D2,L1,V2,M1} R(29316,367);r(15) { ! cyclic(
% 6.53/6.95 skol23, X, Y, skol26 ) }.
% 6.53/6.95 parent1[0]: (31143) {G12,W5,D2,L1,V1,M1} R(811,3900);r(29194) { cyclic( X,
% 6.53/6.95 skol24, skol26, skol26 ) }.
% 6.53/6.95 substitution0:
% 6.53/6.95 X := skol24
% 6.53/6.95 Y := skol26
% 6.53/6.95 end
% 6.53/6.95 substitution1:
% 6.53/6.95 X := skol23
% 6.53/6.95 end
% 6.53/6.95
% 6.53/6.95 subsumption: (31400) {G27,W0,D0,L0,V0,M0} R(31143,30429) { }.
% 6.53/6.95 parent0: (32076) {G13,W0,D0,L0,V0,M0} { }.
% 6.53/6.95 substitution0:
% 6.53/6.95 end
% 6.53/6.95 permutation0:
% 6.53/6.95 end
% 6.53/6.95
% 6.53/6.95 Proof check complete!
% 6.53/6.95
% 6.53/6.95 Memory use:
% 6.53/6.95
% 6.53/6.95 space for terms: 457631
% 6.53/6.95 space for clauses: 1442596
% 6.53/6.95
% 6.53/6.95
% 6.53/6.95 clauses generated: 229755
% 6.53/6.95 clauses kept: 31401
% 6.53/6.95 clauses selected: 2421
% 6.53/6.95 clauses deleted: 3604
% 6.53/6.95 clauses inuse deleted: 433
% 6.53/6.95
% 6.53/6.95 subsentry: 8480739
% 6.53/6.95 literals s-matched: 6346682
% 6.53/6.95 literals matched: 3890513
% 6.53/6.95 full subsumption: 1344333
% 6.53/6.95
% 6.53/6.95 checksum: -2081313514
% 6.53/6.95
% 6.53/6.95
% 6.53/6.95 Bliksem ended
%------------------------------------------------------------------------------