TSTP Solution File: GEO654+1 by Bliksem---1.12
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- Process Solution
%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : GEO654+1 : TPTP v8.1.0. Released v7.5.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n011.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 0s
% DateTime : Sat Jul 16 02:55:23 EDT 2022
% Result : Theorem 17.33s 17.71s
% Output : Refutation 17.33s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12 % Problem : GEO654+1 : TPTP v8.1.0. Released v7.5.0.
% 0.12/0.13 % Command : bliksem %s
% 0.13/0.34 % Computer : n011.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % DateTime : Fri Jun 17 15:56:07 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.81/1.22 *** allocated 10000 integers for termspace/termends
% 0.81/1.22 *** allocated 10000 integers for clauses
% 0.81/1.22 *** allocated 10000 integers for justifications
% 0.81/1.22 Bliksem 1.12
% 0.81/1.22
% 0.81/1.22
% 0.81/1.22 Automatic Strategy Selection
% 0.81/1.22
% 0.81/1.22 *** allocated 15000 integers for termspace/termends
% 0.81/1.22
% 0.81/1.22 Clauses:
% 0.81/1.22
% 0.81/1.22 { ! coll( X, Y, Z ), coll( X, Z, Y ) }.
% 0.81/1.22 { ! coll( X, Y, Z ), coll( Y, X, Z ) }.
% 0.81/1.22 { ! coll( X, T, Y ), ! coll( X, T, Z ), coll( Y, Z, X ) }.
% 0.81/1.22 { ! para( X, Y, Z, T ), para( X, Y, T, Z ) }.
% 0.81/1.22 { ! para( X, Y, Z, T ), para( Z, T, X, Y ) }.
% 0.81/1.22 { ! para( X, Y, U, W ), ! para( U, W, Z, T ), para( X, Y, Z, T ) }.
% 0.81/1.22 { ! perp( X, Y, Z, T ), perp( X, Y, T, Z ) }.
% 0.81/1.22 { ! perp( X, Y, Z, T ), perp( Z, T, X, Y ) }.
% 0.81/1.22 { ! perp( X, Y, U, W ), ! perp( U, W, Z, T ), para( X, Y, Z, T ) }.
% 0.81/1.22 { ! para( X, Y, U, W ), ! perp( U, W, Z, T ), perp( X, Y, Z, T ) }.
% 0.81/1.22 { ! midp( Z, Y, X ), midp( Z, X, Y ) }.
% 0.81/1.22 { ! cong( T, X, T, Y ), ! cong( T, X, T, Z ), circle( T, X, Y, Z ) }.
% 0.81/1.22 { ! cong( U, X, U, Y ), ! cong( U, X, U, Z ), ! cong( U, X, U, T ), cyclic
% 0.81/1.22 ( X, Y, Z, T ) }.
% 0.81/1.22 { ! cyclic( X, Y, Z, T ), cyclic( X, Y, T, Z ) }.
% 0.81/1.22 { ! cyclic( X, Y, Z, T ), cyclic( X, Z, Y, T ) }.
% 0.81/1.22 { ! cyclic( X, Y, Z, T ), cyclic( Y, X, Z, T ) }.
% 0.81/1.22 { ! cyclic( U, X, Y, Z ), ! cyclic( U, X, Y, T ), cyclic( X, Y, Z, T ) }.
% 0.81/1.22 { ! eqangle( X, Y, Z, T, U, W, V0, V1 ), eqangle( Y, X, Z, T, U, W, V0, V1
% 0.81/1.22 ) }.
% 0.81/1.22 { ! eqangle( X, Y, Z, T, U, W, V0, V1 ), eqangle( Z, T, X, Y, V0, V1, U, W
% 0.81/1.22 ) }.
% 0.81/1.22 { ! eqangle( X, Y, Z, T, U, W, V0, V1 ), eqangle( U, W, V0, V1, X, Y, Z, T
% 0.81/1.22 ) }.
% 0.81/1.22 { ! eqangle( X, Y, Z, T, U, W, V0, V1 ), eqangle( X, Y, U, W, Z, T, V0, V1
% 0.81/1.22 ) }.
% 0.81/1.22 { ! eqangle( X, Y, Z, T, V2, V3, V4, V5 ), ! eqangle( V2, V3, V4, V5, U, W
% 0.81/1.22 , V0, V1 ), eqangle( X, Y, Z, T, U, W, V0, V1 ) }.
% 0.81/1.22 { ! cong( X, Y, Z, T ), cong( X, Y, T, Z ) }.
% 0.81/1.22 { ! cong( X, Y, Z, T ), cong( Z, T, X, Y ) }.
% 0.81/1.22 { ! cong( X, Y, U, W ), ! cong( U, W, Z, T ), cong( X, Y, Z, T ) }.
% 0.81/1.22 { ! eqratio( X, Y, Z, T, U, W, V0, V1 ), eqratio( Y, X, Z, T, U, W, V0, V1
% 0.81/1.22 ) }.
% 0.81/1.22 { ! eqratio( X, Y, Z, T, U, W, V0, V1 ), eqratio( Z, T, X, Y, V0, V1, U, W
% 0.81/1.22 ) }.
% 0.81/1.22 { ! eqratio( X, Y, Z, T, U, W, V0, V1 ), eqratio( U, W, V0, V1, X, Y, Z, T
% 0.81/1.22 ) }.
% 0.81/1.22 { ! eqratio( X, Y, Z, T, U, W, V0, V1 ), eqratio( X, Y, U, W, Z, T, V0, V1
% 0.81/1.22 ) }.
% 0.81/1.22 { ! eqratio( X, Y, Z, T, V2, V3, V4, V5 ), ! eqratio( V2, V3, V4, V5, U, W
% 0.81/1.22 , V0, V1 ), eqratio( X, Y, Z, T, U, W, V0, V1 ) }.
% 0.81/1.22 { ! simtri( X, Z, Y, T, W, U ), simtri( X, Y, Z, T, U, W ) }.
% 0.81/1.22 { ! simtri( Y, X, Z, U, T, W ), simtri( X, Y, Z, T, U, W ) }.
% 0.81/1.22 { ! simtri( T, U, W, X, Y, Z ), simtri( X, Y, Z, T, U, W ) }.
% 0.81/1.22 { ! simtri( X, Y, Z, V0, V1, V2 ), ! simtri( V0, V1, V2, T, U, W ), simtri
% 0.81/1.22 ( X, Y, Z, T, U, W ) }.
% 0.81/1.22 { ! contri( X, Z, Y, T, W, U ), contri( X, Y, Z, T, U, W ) }.
% 0.81/1.22 { ! contri( Y, X, Z, U, T, W ), contri( X, Y, Z, T, U, W ) }.
% 0.81/1.22 { ! contri( T, U, W, X, Y, Z ), contri( X, Y, Z, T, U, W ) }.
% 0.81/1.22 { ! contri( X, Y, Z, V0, V1, V2 ), ! contri( V0, V1, V2, T, U, W ), contri
% 0.81/1.22 ( X, Y, Z, T, U, W ) }.
% 0.81/1.22 { ! eqangle( X, Y, U, W, Z, T, U, W ), para( X, Y, Z, T ) }.
% 0.81/1.22 { ! para( X, Y, Z, T ), eqangle( X, Y, U, W, Z, T, U, W ) }.
% 0.81/1.22 { ! cyclic( X, Y, Z, T ), eqangle( Z, X, Z, Y, T, X, T, Y ) }.
% 0.81/1.22 { ! eqangle( Z, X, Z, Y, T, X, T, Y ), coll( Z, T, X ), cyclic( X, Y, Z, T
% 0.81/1.22 ) }.
% 0.81/1.22 { ! eqangle( Z, X, Z, Y, T, X, T, Y ), ! coll( Z, T, Y ), cyclic( X, Y, Z,
% 0.81/1.22 T ) }.
% 0.81/1.22 { ! cyclic( X, Y, U, Z ), ! cyclic( X, Y, U, T ), ! cyclic( X, Y, U, W ), !
% 0.81/1.22 eqangle( U, X, U, Y, W, Z, W, T ), cong( X, Y, Z, T ) }.
% 0.81/1.22 { ! midp( Z, U, X ), ! midp( T, U, Y ), para( Z, T, X, Y ) }.
% 0.81/1.22 { ! midp( U, X, T ), ! para( U, Z, T, Y ), ! coll( Z, X, Y ), midp( Z, X, Y
% 0.81/1.22 ) }.
% 0.81/1.22 { ! cong( Z, X, Z, Y ), eqangle( Z, X, X, Y, X, Y, Z, Y ) }.
% 0.81/1.22 { ! eqangle( Z, X, X, Y, X, Y, Z, Y ), coll( Z, X, Y ), cong( Z, X, Z, Y )
% 0.81/1.22 }.
% 0.81/1.22 { ! circle( U, X, Y, Z ), ! perp( U, X, X, T ), eqangle( X, T, X, Y, Z, X,
% 0.81/1.22 Z, Y ) }.
% 0.81/1.22 { ! circle( Y, X, T, U ), ! eqangle( X, Z, X, T, U, X, U, T ), perp( Y, X,
% 0.81/1.22 X, Z ) }.
% 0.81/1.22 { ! circle( T, X, Y, Z ), ! midp( U, Y, Z ), eqangle( X, Y, X, Z, T, Y, T,
% 0.81/1.22 U ) }.
% 0.81/1.22 { ! circle( U, T, X, Y ), ! coll( Z, X, Y ), ! eqangle( T, X, T, Y, U, X, U
% 0.81/1.22 , Z ), midp( Z, X, Y ) }.
% 0.81/1.22 { ! perp( X, Y, Y, T ), ! midp( Z, X, T ), cong( X, Z, Y, Z ) }.
% 0.81/1.22 { ! circle( T, X, Y, Z ), ! coll( T, X, Z ), perp( X, Y, Y, Z ) }.
% 0.81/1.22 { ! cyclic( X, Y, Z, T ), ! para( X, Y, Z, T ), eqangle( X, T, Z, T, Z, T,
% 0.81/1.22 Z, Y ) }.
% 0.81/1.22 { ! midp( T, X, Y ), ! perp( Z, T, X, Y ), cong( Z, X, Z, Y ) }.
% 0.81/1.22 { ! cong( X, Z, Y, Z ), ! cong( X, T, Y, T ), perp( X, Y, Z, T ) }.
% 0.81/1.22 { ! cong( X, Y, T, Y ), ! cong( X, Z, T, Z ), ! cyclic( X, T, Y, Z ), perp
% 0.81/1.22 ( Y, X, X, Z ) }.
% 0.81/1.22 { ! eqangle( X, Y, Y, Z, T, U, U, W ), ! eqangle( X, Z, Y, Z, T, W, U, W )
% 0.81/1.22 , coll( X, Y, Z ), simtri( X, Y, Z, T, U, W ) }.
% 0.81/1.22 { ! simtri( X, Y, Z, T, U, W ), eqratio( X, Y, X, Z, T, U, T, W ) }.
% 0.81/1.22 { ! simtri( X, Y, Z, T, U, W ), eqangle( X, Y, Y, Z, T, U, U, W ) }.
% 0.81/1.22 { ! simtri( X, Y, Z, T, U, W ), ! cong( X, Y, T, U ), contri( X, Y, Z, T, U
% 0.81/1.22 , W ) }.
% 0.81/1.22 { ! contri( X, Y, U, Z, T, W ), cong( X, Y, Z, T ) }.
% 0.81/1.22 { ! midp( U, X, Y ), ! midp( U, Z, T ), para( X, Z, Y, T ) }.
% 0.81/1.22 { ! midp( Z, T, U ), ! para( T, X, U, Y ), ! para( T, Y, U, X ), midp( Z, X
% 0.81/1.22 , Y ) }.
% 0.81/1.22 { ! para( X, Y, Z, T ), ! coll( U, X, Z ), ! coll( U, Y, T ), eqratio( U, X
% 0.81/1.22 , X, Z, U, Y, Y, T ) }.
% 0.81/1.22 { ! para( X, Y, X, Z ), coll( X, Y, Z ) }.
% 0.81/1.22 { ! cong( X, Y, X, Z ), ! coll( X, Y, Z ), midp( X, Y, Z ) }.
% 0.81/1.22 { ! midp( X, Y, Z ), cong( X, Y, X, Z ) }.
% 0.81/1.22 { ! midp( X, Y, Z ), coll( X, Y, Z ) }.
% 0.81/1.22 { ! midp( U, X, Y ), ! midp( W, Z, T ), eqratio( U, X, X, Y, W, Z, Z, T ) }
% 0.81/1.22 .
% 0.81/1.22 { ! eqangle( X, Y, Z, T, Z, T, X, Y ), para( X, Y, Z, T ), perp( X, Y, Z, T
% 0.81/1.22 ) }.
% 0.81/1.22 { ! eqangle( X, Y, Z, T, Z, T, X, Y ), perp( X, Y, Z, T ), para( X, Y, Z, T
% 0.81/1.22 ) }.
% 0.81/1.22 { ! eqangle( X, Y, Z, T, U, W, V0, V1 ), ! para( U, W, V0, V1 ), para( X, Y
% 0.81/1.22 , Z, T ) }.
% 0.81/1.22 { ! eqangle( X, Y, Z, T, U, W, V0, V1 ), ! perp( U, W, V0, V1 ), perp( X, Y
% 0.81/1.22 , Z, T ) }.
% 0.81/1.22 { ! eqratio( X, Y, Z, T, U, W, V0, V1 ), ! cong( U, W, V0, V1 ), cong( X, Y
% 0.81/1.22 , Z, T ) }.
% 0.81/1.22 { ! perp( Z, Y, Y, X ), ! eqangle( T, Z, Y, Z, Y, Z, X, Z ), coll( skol1( U
% 0.81/1.22 , W, Z, T ), Z, T ) }.
% 0.81/1.22 { ! perp( Z, Y, Y, X ), ! eqangle( T, Z, Y, Z, Y, Z, X, Z ), coll( skol1( X
% 0.81/1.22 , Y, Z, T ), X, Y ) }.
% 0.81/1.22 { ! cong( Z, X, Z, Y ), ! eqangle( X, Z, Z, T, Z, T, Z, Y ), coll( skol2( U
% 0.81/1.22 , W, Z, T ), Z, T ) }.
% 0.81/1.22 { ! cong( Z, X, Z, Y ), ! eqangle( X, Z, Z, T, Z, T, Z, Y ), coll( Y, X,
% 0.81/1.22 skol2( X, Y, Z, T ) ) }.
% 0.81/1.22 { ! perp( Z, T, X, Y ), ! eqangle( X, Z, Z, T, Z, T, Z, Y ), coll( skol3( U
% 0.81/1.22 , W, Z, T ), Z, T ) }.
% 0.81/1.22 { ! perp( Z, T, X, Y ), ! eqangle( X, Z, Z, T, Z, T, Z, Y ), coll( Y, X,
% 0.81/1.22 skol3( X, Y, Z, T ) ) }.
% 0.81/1.22 { ! perp( Z, T, X, Y ), ! cong( Z, X, Z, Y ), coll( skol4( U, W, Z, T ), Z
% 0.81/1.22 , T ) }.
% 0.81/1.22 { ! perp( Z, T, X, Y ), ! cong( Z, X, Z, Y ), coll( Y, X, skol4( X, Y, Z, T
% 0.81/1.22 ) ) }.
% 0.81/1.22 { ! eqangle( X, Z, Y, Z, X, T, Y, U ), coll( X, Y, Z ), cyclic( T, Y, Z,
% 0.81/1.22 skol5( W, Y, Z, T ) ) }.
% 0.81/1.22 { ! eqangle( X, Z, Y, Z, X, T, Y, U ), coll( X, Y, Z ), eqangle( X, Z, Y, Z
% 0.81/1.22 , X, skol5( X, Y, Z, T ), Y, skol5( X, Y, Z, T ) ) }.
% 0.81/1.22 { ! midp( U, X, Y ), ! midp( W, Z, T ), midp( skol6( X, V0, V1, T, V2, V3 )
% 0.81/1.22 , X, T ) }.
% 0.81/1.22 { ! midp( U, X, Y ), ! midp( W, Z, T ), para( skol6( X, V0, Z, T, V1, W ),
% 0.81/1.22 W, X, Z ) }.
% 0.81/1.22 { ! midp( U, X, Y ), ! midp( W, Z, T ), para( skol6( X, Y, Z, T, U, W ), U
% 0.81/1.22 , Y, T ) }.
% 0.81/1.22 { ! midp( Z, X, Y ), ! midp( W, T, U ), ! coll( T, X, Y ), ! coll( U, X, Y
% 0.81/1.22 ), midp( skol7( X, V0 ), X, V0 ) }.
% 0.81/1.22 { ! midp( T, X, U ), ! para( X, W, Z, T ), ! para( X, W, U, Y ), ! coll( W
% 0.81/1.22 , Y, Z ), coll( skol8( V0, V1, Z, T ), T, Z ) }.
% 0.81/1.22 { ! midp( T, X, U ), ! para( X, W, Z, T ), ! para( X, W, U, Y ), ! coll( W
% 0.81/1.22 , Y, Z ), coll( skol8( X, Y, Z, T ), X, Y ) }.
% 0.81/1.22 { ! cong( T, Z, T, U ), ! perp( X, Y, Y, T ), cong( T, Z, T, skol9( W, V0,
% 0.81/1.22 Z, T ) ) }.
% 0.81/1.22 { ! cong( T, Z, T, U ), ! perp( X, Y, Y, T ), cong( Y, Z, Y, skol9( W, Y, Z
% 0.81/1.22 , T ) ) }.
% 0.81/1.22 { ! cong( T, Z, T, U ), ! perp( X, Y, Y, T ), para( skol9( X, Y, Z, T ), Z
% 0.81/1.22 , X, Y ) }.
% 0.81/1.22 { ! perp( X, T, Y, Z ), ! perp( Y, T, X, Z ), coll( skol10( U, Y, Z ), Z, Y
% 0.81/1.22 ) }.
% 0.81/1.22 { ! perp( X, T, Y, Z ), ! perp( Y, T, X, Z ), perp( X, skol10( X, Y, Z ), Z
% 0.81/1.22 , Y ) }.
% 0.81/1.22 { ! perp( X, T, Y, Z ), ! perp( Y, T, X, Z ), alpha1( X, Y, Z ) }.
% 0.81/1.22 { ! alpha1( X, Y, Z ), coll( skol11( X, T, Z ), Z, X ) }.
% 0.81/1.22 { ! alpha1( X, Y, Z ), perp( Y, skol11( X, Y, Z ), Z, X ) }.
% 0.81/1.22 { ! coll( T, Z, X ), ! perp( Y, T, Z, X ), alpha1( X, Y, Z ) }.
% 0.81/1.22 { ! circle( Y, X, Z, T ), perp( skol12( X, Y ), X, X, Y ) }.
% 3.45/3.84 { ! circle( W, X, Y, Z ), ! cong( W, X, W, T ), ! cong( U, X, U, Y ), W = U
% 3.45/3.84 , alpha2( X, Z, U, skol13( X, V0, Z, V1, U ) ) }.
% 3.45/3.84 { ! circle( W, X, Y, Z ), ! cong( W, X, W, T ), ! cong( U, X, U, Y ), W = U
% 3.45/3.84 , coll( skol21( V0, Y, T, V1 ), Y, T ) }.
% 3.45/3.84 { ! circle( W, X, Y, Z ), ! cong( W, X, W, T ), ! cong( U, X, U, Y ), W = U
% 3.45/3.84 , cong( skol21( X, Y, T, U ), U, U, X ) }.
% 3.45/3.84 { ! alpha2( X, Y, Z, T ), coll( T, X, Y ) }.
% 3.45/3.84 { ! alpha2( X, Y, Z, T ), cong( T, Z, Z, X ) }.
% 3.45/3.84 { ! coll( T, X, Y ), ! cong( T, Z, Z, X ), alpha2( X, Y, Z, T ) }.
% 3.45/3.84 { ! cyclic( X, Y, Z, T ), ! para( X, Y, Z, T ), ! midp( U, X, Y ), circle(
% 3.45/3.84 skol14( X, Y, Z ), X, Y, Z ) }.
% 3.45/3.84 { ! perp( X, Z, Z, Y ), ! cyclic( X, Y, Z, T ), circle( skol15( X, Y, Z ),
% 3.45/3.84 X, Y, Z ) }.
% 3.45/3.84 { ! perp( X, U, U, T ), ! coll( T, Y, Z ), coll( skol16( W, Y, Z ), Y, Z )
% 3.45/3.84 }.
% 3.45/3.84 { ! perp( X, U, U, T ), ! coll( T, Y, Z ), perp( skol16( X, Y, Z ), X, Y, Z
% 3.45/3.84 ) }.
% 3.45/3.84 { ! perp( X, Z, X, Y ), ! perp( Y, X, Y, T ), ! midp( U, Z, T ), midp(
% 3.45/3.84 skol17( X, Y ), X, Y ) }.
% 3.45/3.84 { ! cong( Y, X, Y, Z ), ! perp( X, Y, Y, Z ), coll( X, Y, skol18( X, Y ) )
% 3.45/3.84 }.
% 3.45/3.84 { ! cong( Y, X, Y, Z ), ! perp( X, Y, Y, Z ), cong( Y, X, Y, skol18( X, Y )
% 3.45/3.84 ) }.
% 3.45/3.84 { ! para( U, W, X, Y ), ! coll( Z, U, X ), ! coll( Z, W, Y ), ! coll( T, U
% 3.45/3.84 , W ), coll( Z, T, skol19( V0, V1, Z, T ) ) }.
% 3.45/3.84 { ! para( U, W, X, Y ), ! coll( Z, U, X ), ! coll( Z, W, Y ), ! coll( T, U
% 3.45/3.84 , W ), coll( skol19( X, Y, Z, T ), X, Y ) }.
% 3.45/3.84 { circle( skol25, skol26, skol27, skol28 ) }.
% 3.45/3.84 { circle( skol29, skol26, skol30, skol31 ) }.
% 3.45/3.84 { circle( skol25, skol26, skol32, skol33 ) }.
% 3.45/3.84 { circle( skol29, skol26, skol32, skol34 ) }.
% 3.45/3.84 { circle( skol29, skol26, skol20, skol35 ) }.
% 3.45/3.84 { coll( skol32, skol20, skol22 ) }.
% 3.45/3.84 { circle( skol25, skol32, skol22, skol36 ) }.
% 3.45/3.84 { coll( skol26, skol20, skol23 ) }.
% 3.45/3.84 { circle( skol25, skol26, skol23, skol37 ) }.
% 3.45/3.84 { perp( skol29, skol20, skol20, skol24 ) }.
% 3.45/3.84 { ! para( skol24, skol20, skol23, skol22 ) }.
% 3.45/3.84
% 3.45/3.84 percentage equality = 0.008696, percentage horn = 0.929134
% 3.45/3.84 This is a problem with some equality
% 3.45/3.84
% 3.45/3.84
% 3.45/3.84
% 3.45/3.84 Options Used:
% 3.45/3.84
% 3.45/3.84 useres = 1
% 3.45/3.84 useparamod = 1
% 3.45/3.84 useeqrefl = 1
% 3.45/3.84 useeqfact = 1
% 3.45/3.84 usefactor = 1
% 3.45/3.84 usesimpsplitting = 0
% 3.45/3.84 usesimpdemod = 5
% 3.45/3.84 usesimpres = 3
% 3.45/3.84
% 3.45/3.84 resimpinuse = 1000
% 3.45/3.84 resimpclauses = 20000
% 3.45/3.84 substype = eqrewr
% 3.45/3.84 backwardsubs = 1
% 3.45/3.84 selectoldest = 5
% 3.45/3.84
% 3.45/3.84 litorderings [0] = split
% 3.45/3.84 litorderings [1] = extend the termordering, first sorting on arguments
% 3.45/3.84
% 3.45/3.84 termordering = kbo
% 3.45/3.84
% 3.45/3.84 litapriori = 0
% 3.45/3.84 termapriori = 1
% 3.45/3.84 litaposteriori = 0
% 3.45/3.84 termaposteriori = 0
% 3.45/3.84 demodaposteriori = 0
% 3.45/3.84 ordereqreflfact = 0
% 3.45/3.84
% 3.45/3.84 litselect = negord
% 3.45/3.84
% 3.45/3.84 maxweight = 15
% 3.45/3.84 maxdepth = 30000
% 3.45/3.84 maxlength = 115
% 3.45/3.84 maxnrvars = 195
% 3.45/3.84 excuselevel = 1
% 3.45/3.84 increasemaxweight = 1
% 3.45/3.84
% 3.45/3.84 maxselected = 10000000
% 3.45/3.84 maxnrclauses = 10000000
% 3.45/3.84
% 3.45/3.84 showgenerated = 0
% 3.45/3.84 showkept = 0
% 3.45/3.84 showselected = 0
% 3.45/3.84 showdeleted = 0
% 3.45/3.84 showresimp = 1
% 3.45/3.84 showstatus = 2000
% 3.45/3.84
% 3.45/3.84 prologoutput = 0
% 3.45/3.84 nrgoals = 5000000
% 3.45/3.84 totalproof = 1
% 3.45/3.84
% 3.45/3.84 Symbols occurring in the translation:
% 3.45/3.84
% 3.45/3.84 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 3.45/3.84 . [1, 2] (w:1, o:55, a:1, s:1, b:0),
% 3.45/3.84 ! [4, 1] (w:0, o:50, a:1, s:1, b:0),
% 3.45/3.84 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 3.45/3.84 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 3.45/3.84 coll [38, 3] (w:1, o:83, a:1, s:1, b:0),
% 3.45/3.84 para [40, 4] (w:1, o:91, a:1, s:1, b:0),
% 3.45/3.84 perp [43, 4] (w:1, o:92, a:1, s:1, b:0),
% 3.45/3.84 midp [45, 3] (w:1, o:84, a:1, s:1, b:0),
% 3.45/3.84 cong [47, 4] (w:1, o:93, a:1, s:1, b:0),
% 3.45/3.84 circle [48, 4] (w:1, o:94, a:1, s:1, b:0),
% 3.45/3.84 cyclic [49, 4] (w:1, o:95, a:1, s:1, b:0),
% 3.45/3.84 eqangle [54, 8] (w:1, o:110, a:1, s:1, b:0),
% 3.45/3.84 eqratio [57, 8] (w:1, o:111, a:1, s:1, b:0),
% 3.45/3.84 simtri [59, 6] (w:1, o:107, a:1, s:1, b:0),
% 3.45/3.84 contri [60, 6] (w:1, o:108, a:1, s:1, b:0),
% 3.45/3.84 alpha1 [73, 3] (w:1, o:85, a:1, s:1, b:1),
% 3.45/3.84 alpha2 [74, 4] (w:1, o:96, a:1, s:1, b:1),
% 3.45/3.84 skol1 [75, 4] (w:1, o:97, a:1, s:1, b:1),
% 3.45/3.84 skol2 [76, 4] (w:1, o:99, a:1, s:1, b:1),
% 3.45/3.84 skol3 [77, 4] (w:1, o:101, a:1, s:1, b:1),
% 3.45/3.84 skol4 [78, 4] (w:1, o:102, a:1, s:1, b:1),
% 17.33/17.71 skol5 [79, 4] (w:1, o:103, a:1, s:1, b:1),
% 17.33/17.71 skol6 [80, 6] (w:1, o:109, a:1, s:1, b:1),
% 17.33/17.71 skol7 [81, 2] (w:1, o:79, a:1, s:1, b:1),
% 17.33/17.71 skol8 [82, 4] (w:1, o:104, a:1, s:1, b:1),
% 17.33/17.71 skol9 [83, 4] (w:1, o:105, a:1, s:1, b:1),
% 17.33/17.71 skol10 [84, 3] (w:1, o:86, a:1, s:1, b:1),
% 17.33/17.71 skol11 [85, 3] (w:1, o:87, a:1, s:1, b:1),
% 17.33/17.71 skol12 [86, 2] (w:1, o:80, a:1, s:1, b:1),
% 17.33/17.71 skol13 [87, 5] (w:1, o:106, a:1, s:1, b:1),
% 17.33/17.71 skol14 [88, 3] (w:1, o:88, a:1, s:1, b:1),
% 17.33/17.71 skol15 [89, 3] (w:1, o:89, a:1, s:1, b:1),
% 17.33/17.71 skol16 [90, 3] (w:1, o:90, a:1, s:1, b:1),
% 17.33/17.71 skol17 [91, 2] (w:1, o:81, a:1, s:1, b:1),
% 17.33/17.71 skol18 [92, 2] (w:1, o:82, a:1, s:1, b:1),
% 17.33/17.71 skol19 [93, 4] (w:1, o:98, a:1, s:1, b:1),
% 17.33/17.71 skol20 [94, 0] (w:1, o:33, a:1, s:1, b:1),
% 17.33/17.71 skol21 [95, 4] (w:1, o:100, a:1, s:1, b:1),
% 17.33/17.71 skol22 [96, 0] (w:1, o:34, a:1, s:1, b:1),
% 17.33/17.71 skol23 [97, 0] (w:1, o:35, a:1, s:1, b:1),
% 17.33/17.71 skol24 [98, 0] (w:1, o:36, a:1, s:1, b:1),
% 17.33/17.71 skol25 [99, 0] (w:1, o:37, a:1, s:1, b:1),
% 17.33/17.71 skol26 [100, 0] (w:1, o:38, a:1, s:1, b:1),
% 17.33/17.71 skol27 [101, 0] (w:1, o:39, a:1, s:1, b:1),
% 17.33/17.71 skol28 [102, 0] (w:1, o:40, a:1, s:1, b:1),
% 17.33/17.71 skol29 [103, 0] (w:1, o:41, a:1, s:1, b:1),
% 17.33/17.71 skol30 [104, 0] (w:1, o:42, a:1, s:1, b:1),
% 17.33/17.71 skol31 [105, 0] (w:1, o:43, a:1, s:1, b:1),
% 17.33/17.71 skol32 [106, 0] (w:1, o:44, a:1, s:1, b:1),
% 17.33/17.71 skol33 [107, 0] (w:1, o:45, a:1, s:1, b:1),
% 17.33/17.71 skol34 [108, 0] (w:1, o:46, a:1, s:1, b:1),
% 17.33/17.71 skol35 [109, 0] (w:1, o:47, a:1, s:1, b:1),
% 17.33/17.71 skol36 [110, 0] (w:1, o:48, a:1, s:1, b:1),
% 17.33/17.71 skol37 [111, 0] (w:1, o:49, a:1, s:1, b:1).
% 17.33/17.71
% 17.33/17.71
% 17.33/17.71 Starting Search:
% 17.33/17.71
% 17.33/17.71 *** allocated 15000 integers for clauses
% 17.33/17.71 *** allocated 22500 integers for clauses
% 17.33/17.71 *** allocated 33750 integers for clauses
% 17.33/17.71 *** allocated 22500 integers for termspace/termends
% 17.33/17.71 *** allocated 50625 integers for clauses
% 17.33/17.71 Resimplifying inuse:
% 17.33/17.71 Done
% 17.33/17.71
% 17.33/17.71 *** allocated 75937 integers for clauses
% 17.33/17.71 *** allocated 33750 integers for termspace/termends
% 17.33/17.71 *** allocated 113905 integers for clauses
% 17.33/17.71 *** allocated 50625 integers for termspace/termends
% 17.33/17.71
% 17.33/17.71 Intermediate Status:
% 17.33/17.71 Generated: 19643
% 17.33/17.71 Kept: 2049
% 17.33/17.71 Inuse: 336
% 17.33/17.71 Deleted: 1
% 17.33/17.71 Deletedinuse: 1
% 17.33/17.71
% 17.33/17.71 Resimplifying inuse:
% 17.33/17.71 Done
% 17.33/17.71
% 17.33/17.71 *** allocated 170857 integers for clauses
% 17.33/17.71 *** allocated 75937 integers for termspace/termends
% 17.33/17.71 Resimplifying inuse:
% 17.33/17.71 Done
% 17.33/17.71
% 17.33/17.71 *** allocated 256285 integers for clauses
% 17.33/17.71 *** allocated 113905 integers for termspace/termends
% 17.33/17.71
% 17.33/17.71 Intermediate Status:
% 17.33/17.71 Generated: 36239
% 17.33/17.71 Kept: 4077
% 17.33/17.71 Inuse: 454
% 17.33/17.71 Deleted: 18
% 17.33/17.71 Deletedinuse: 1
% 17.33/17.71
% 17.33/17.71 Resimplifying inuse:
% 17.33/17.71 Done
% 17.33/17.71
% 17.33/17.71 Resimplifying inuse:
% 17.33/17.71 Done
% 17.33/17.71
% 17.33/17.71 *** allocated 170857 integers for termspace/termends
% 17.33/17.71 *** allocated 384427 integers for clauses
% 17.33/17.71
% 17.33/17.71 Intermediate Status:
% 17.33/17.71 Generated: 46948
% 17.33/17.71 Kept: 6088
% 17.33/17.71 Inuse: 524
% 17.33/17.71 Deleted: 19
% 17.33/17.71 Deletedinuse: 2
% 17.33/17.71
% 17.33/17.71 Resimplifying inuse:
% 17.33/17.71 Done
% 17.33/17.71
% 17.33/17.71 Resimplifying inuse:
% 17.33/17.71 Done
% 17.33/17.71
% 17.33/17.71 *** allocated 576640 integers for clauses
% 17.33/17.71
% 17.33/17.71 Intermediate Status:
% 17.33/17.71 Generated: 65095
% 17.33/17.71 Kept: 8098
% 17.33/17.71 Inuse: 692
% 17.33/17.71 Deleted: 20
% 17.33/17.71 Deletedinuse: 2
% 17.33/17.71
% 17.33/17.71 Resimplifying inuse:
% 17.33/17.71 Done
% 17.33/17.71
% 17.33/17.71 *** allocated 256285 integers for termspace/termends
% 17.33/17.71 Resimplifying inuse:
% 17.33/17.71 Done
% 17.33/17.71
% 17.33/17.71
% 17.33/17.71 Intermediate Status:
% 17.33/17.71 Generated: 85067
% 17.33/17.71 Kept: 10103
% 17.33/17.71 Inuse: 793
% 17.33/17.71 Deleted: 28
% 17.33/17.71 Deletedinuse: 5
% 17.33/17.71
% 17.33/17.71 Resimplifying inuse:
% 17.33/17.71 Done
% 17.33/17.71
% 17.33/17.71 Resimplifying inuse:
% 17.33/17.71 Done
% 17.33/17.71
% 17.33/17.71
% 17.33/17.71 Intermediate Status:
% 17.33/17.71 Generated: 96051
% 17.33/17.71 Kept: 12114
% 17.33/17.71 Inuse: 858
% 17.33/17.71 Deleted: 34
% 17.33/17.71 Deletedinuse: 9
% 17.33/17.71
% 17.33/17.71 *** allocated 864960 integers for clauses
% 17.33/17.71 Resimplifying inuse:
% 17.33/17.71 Done
% 17.33/17.71
% 17.33/17.71 Resimplifying inuse:
% 17.33/17.71 Done
% 17.33/17.71
% 17.33/17.71
% 17.33/17.71 Intermediate Status:
% 17.33/17.71 Generated: 112689
% 17.33/17.71 Kept: 14120
% 17.33/17.71 Inuse: 976
% 17.33/17.71 Deleted: 37
% 17.33/17.71 Deletedinuse: 10
% 17.33/17.71
% 17.33/17.71 Resimplifying inuse:
% 17.33/17.71 Done
% 17.33/17.71
% 17.33/17.71 *** allocated 384427 integers for termspace/termends
% 17.33/17.71 Resimplifying inuse:
% 17.33/17.71 Done
% 17.33/17.71
% 17.33/17.71
% 17.33/17.71 Intermediate Status:
% 17.33/17.71 Generated: 136776
% 17.33/17.71 Kept: 16130
% 17.33/17.71 Inuse: 1087
% 17.33/17.71 Deleted: 51
% 17.33/17.71 Deletedinuse: 16
% 17.33/17.71
% 17.33/17.71 Resimplifying inuse:
% 17.33/17.71 Done
% 17.33/17.71
% 17.33/17.71 Resimplifying inuse:
% 17.33/17.71 Done
% 17.33/17.71
% 17.33/17.71
% 17.33/17.71 Intermediate Status:
% 17.33/17.71 Generated: 155710
% 17.33/17.71 Kept: 18149
% 17.33/17.71 Inuse: 1215
% 17.33/17.71 Deleted: 60
% 17.33/17.71 Deletedinuse: 19
% 17.33/17.71
% 17.33/17.71 Resimplifying inuse:
% 17.33/17.71 Done
% 17.33/17.71
% 17.33/17.71 *** allocated 1297440 integers for clauses
% 17.33/17.71 Resimplifying inuse:
% 17.33/17.71 Done
% 17.33/17.71
% 17.33/17.71 Resimplifying clauses:
% 17.33/17.71 Done
% 17.33/17.71
% 17.33/17.71
% 17.33/17.71 Intermediate Status:
% 17.33/17.71 Generated: 168973
% 17.33/17.71 Kept: 20154
% 17.33/17.71 Inuse: 1310
% 17.33/17.71 Deleted: 2414
% 17.33/17.71 Deletedinuse: 37
% 17.33/17.71
% 17.33/17.71 Resimplifying inuse:
% 17.33/17.71 Done
% 17.33/17.71
% 17.33/17.71 Resimplifying inuse:
% 17.33/17.71 Done
% 17.33/17.71
% 17.33/17.71
% 17.33/17.71 Intermediate Status:
% 17.33/17.71 Generated: 184825
% 17.33/17.71 Kept: 22167
% 17.33/17.71 Inuse: 1451
% 17.33/17.71 Deleted: 2419
% 17.33/17.71 Deletedinuse: 41
% 17.33/17.71
% 17.33/17.71 Resimplifying inuse:
% 17.33/17.71 Done
% 17.33/17.71
% 17.33/17.71 Resimplifying inuse:
% 17.33/17.71 Done
% 17.33/17.71
% 17.33/17.71
% 17.33/17.71 Intermediate Status:
% 17.33/17.71 Generated: 201788
% 17.33/17.71 Kept: 25293
% 17.33/17.71 Inuse: 1584
% 17.33/17.71 Deleted: 2419
% 17.33/17.71 Deletedinuse: 41
% 17.33/17.71
% 17.33/17.71 Resimplifying inuse:
% 17.33/17.71 Done
% 17.33/17.71
% 17.33/17.71 *** allocated 576640 integers for termspace/termends
% 17.33/17.71 Resimplifying inuse:
% 17.33/17.71 Done
% 17.33/17.71
% 17.33/17.71
% 17.33/17.71 Intermediate Status:
% 17.33/17.71 Generated: 208958
% 17.33/17.71 Kept: 27293
% 17.33/17.71 Inuse: 1612
% 17.33/17.71 Deleted: 2419
% 17.33/17.71 Deletedinuse: 41
% 17.33/17.71
% 17.33/17.71 Resimplifying inuse:
% 17.33/17.71 Done
% 17.33/17.71
% 17.33/17.71
% 17.33/17.71 Intermediate Status:
% 17.33/17.71 Generated: 216785
% 17.33/17.71 Kept: 29295
% 17.33/17.71 Inuse: 1624
% 17.33/17.71 Deleted: 2421
% 17.33/17.71 Deletedinuse: 43
% 17.33/17.71
% 17.33/17.71 *** allocated 1946160 integers for clauses
% 17.33/17.71 Resimplifying inuse:
% 17.33/17.71 Done
% 17.33/17.71
% 17.33/17.71 Resimplifying inuse:
% 17.33/17.71 Done
% 17.33/17.71
% 17.33/17.71
% 17.33/17.71 Intermediate Status:
% 17.33/17.71 Generated: 235562
% 17.33/17.71 Kept: 31366
% 17.33/17.71 Inuse: 1713
% 17.33/17.71 Deleted: 2430
% 17.33/17.71 Deletedinuse: 51
% 17.33/17.71
% 17.33/17.71
% 17.33/17.71 Intermediate Status:
% 17.33/17.71 Generated: 243040
% 17.33/17.71 Kept: 33433
% 17.33/17.71 Inuse: 1762
% 17.33/17.71 Deleted: 2431
% 17.33/17.71 Deletedinuse: 51
% 17.33/17.71
% 17.33/17.71 Resimplifying inuse:
% 17.33/17.71 Done
% 17.33/17.71
% 17.33/17.71 Resimplifying inuse:
% 17.33/17.71 Done
% 17.33/17.71
% 17.33/17.71
% 17.33/17.71 Intermediate Status:
% 17.33/17.71 Generated: 255927
% 17.33/17.71 Kept: 35776
% 17.33/17.71 Inuse: 1842
% 17.33/17.71 Deleted: 2439
% 17.33/17.71 Deletedinuse: 54
% 17.33/17.71
% 17.33/17.71 Resimplifying inuse:
% 17.33/17.71 Done
% 17.33/17.71
% 17.33/17.71 Resimplifying inuse:
% 17.33/17.71 Done
% 17.33/17.71
% 17.33/17.71
% 17.33/17.71 Intermediate Status:
% 17.33/17.71 Generated: 270258
% 17.33/17.71 Kept: 37855
% 17.33/17.71 Inuse: 1935
% 17.33/17.71 Deleted: 2442
% 17.33/17.71 Deletedinuse: 55
% 17.33/17.71
% 17.33/17.71 Resimplifying inuse:
% 17.33/17.71 Done
% 17.33/17.71
% 17.33/17.71 Resimplifying inuse:
% 17.33/17.71 Done
% 17.33/17.71
% 17.33/17.71
% 17.33/17.71 Intermediate Status:
% 17.33/17.71 Generated: 283147
% 17.33/17.71 Kept: 39857
% 17.33/17.71 Inuse: 2015
% 17.33/17.71 Deleted: 2455
% 17.33/17.71 Deletedinuse: 61
% 17.33/17.71
% 17.33/17.71 Resimplifying clauses:
% 17.33/17.71 Done
% 17.33/17.71
% 17.33/17.71 Resimplifying inuse:
% 17.33/17.71 Done
% 17.33/17.71
% 17.33/17.71 *** allocated 864960 integers for termspace/termends
% 17.33/17.71 Resimplifying inuse:
% 17.33/17.71 Done
% 17.33/17.71
% 17.33/17.71
% 17.33/17.71 Intermediate Status:
% 17.33/17.71 Generated: 302763
% 17.33/17.71 Kept: 41883
% 17.33/17.71 Inuse: 2197
% 17.33/17.71 Deleted: 7039
% 17.33/17.71 Deletedinuse: 67
% 17.33/17.71
% 17.33/17.71 Resimplifying inuse:
% 17.33/17.71 Done
% 17.33/17.71
% 17.33/17.71 Resimplifying inuse:
% 17.33/17.71 Done
% 17.33/17.71
% 17.33/17.71
% 17.33/17.71 Intermediate Status:
% 17.33/17.71 Generated: 321928
% 17.33/17.71 Kept: 43889
% 17.33/17.71 Inuse: 2355
% 17.33/17.71 Deleted: 7045
% 17.33/17.71 Deletedinuse: 73
% 17.33/17.71
% 17.33/17.71 Resimplifying inuse:
% 17.33/17.71 Done
% 17.33/17.71
% 17.33/17.71 Resimplifying inuse:
% 17.33/17.71 Done
% 17.33/17.71
% 17.33/17.71 *** allocated 2919240 integers for clauses
% 17.33/17.71
% 17.33/17.71 Intermediate Status:
% 17.33/17.71 Generated: 344666
% 17.33/17.71 Kept: 45900
% 17.33/17.71 Inuse: 2497
% 17.33/17.71 Deleted: 7051
% 17.33/17.71 Deletedinuse: 78
% 17.33/17.71
% 17.33/17.71 Resimplifying inuse:
% 17.33/17.71 Done
% 17.33/17.71
% 17.33/17.71 Resimplifying inuse:
% 17.33/17.71 Done
% 17.33/17.71
% 17.33/17.71
% 17.33/17.71 Intermediate Status:
% 17.33/17.71 Generated: 371514
% 17.33/17.71 Kept: 47910
% 17.33/17.71 Inuse: 2600
% 17.33/17.71 Deleted: 7055
% 17.33/17.71 Deletedinuse: 82
% 17.33/17.71
% 17.33/17.71 Resimplifying inuse:
% 17.33/17.71 Done
% 17.33/17.71
% 17.33/17.71 Resimplifying inuse:
% 17.33/17.71 Done
% 17.33/17.71
% 17.33/17.71
% 17.33/17.71 Intermediate Status:
% 17.33/17.71 Generated: 390078
% 17.33/17.71 Kept: 49913
% 17.33/17.71 Inuse: 2660
% 17.33/17.71 Deleted: 7101
% 17.33/17.71 Deletedinuse: 86
% 17.33/17.71
% 17.33/17.71 Resimplifying inuse:
% 17.33/17.71 Done
% 17.33/17.71
% 17.33/17.71 Resimplifying inuse:
% 17.33/17.71 Done
% 17.33/17.71
% 17.33/17.71
% 17.33/17.71 Intermediate Status:
% 17.33/17.71 Generated: 407325
% 17.33/17.71 Kept: 51918
% 17.33/17.71 Inuse: 2831
% 17.33/17.71 Deleted: 7240
% 17.33/17.71 Deletedinuse: 183
% 17.33/17.71
% 17.33/17.71 Resimplifying inuse:
% 17.33/17.71 Done
% 17.33/17.71
% 17.33/17.71 Resimplifying inuse:
% 17.33/17.71 Done
% 17.33/17.71
% 17.33/17.71
% 17.33/17.71 Intermediate Status:
% 17.33/17.71 Generated: 426702
% 17.33/17.71 Kept: 53921
% 17.33/17.71 Inuse: 2997
% 17.33/17.71 Deleted: 7281
% 17.33/17.71 Deletedinuse: 183
% 17.33/17.71
% 17.33/17.71
% 17.33/17.71 Bliksems!, er is een bewijs:
% 17.33/17.71 % SZS status Theorem
% 17.33/17.71 % SZS output start Refutation
% 17.33/17.71
% 17.33/17.71 (0) {G0,W8,D2,L2,V3,M2} I { ! coll( X, Y, Z ), coll( X, Z, Y ) }.
% 17.33/17.71 (1) {G0,W8,D2,L2,V3,M2} I { ! coll( X, Y, Z ), coll( Y, X, Z ) }.
% 17.33/17.71 (2) {G0,W12,D2,L3,V4,M3} I { ! coll( X, T, Y ), ! coll( X, T, Z ), coll( Y
% 17.33/17.71 , Z, X ) }.
% 17.33/17.71 (4) {G0,W10,D2,L2,V4,M2} I { ! para( X, Y, Z, T ), para( Z, T, X, Y ) }.
% 17.33/17.71 (5) {G0,W15,D2,L3,V6,M3} I { ! para( X, Y, U, W ), ! para( U, W, Z, T ),
% 17.33/17.71 para( X, Y, Z, T ) }.
% 17.33/17.71 (6) {G0,W10,D2,L2,V4,M2} I { ! perp( X, Y, Z, T ), perp( X, Y, T, Z ) }.
% 17.33/17.71 (7) {G0,W10,D2,L2,V4,M2} I { ! perp( X, Y, Z, T ), perp( Z, T, X, Y ) }.
% 17.33/17.71 (8) {G0,W15,D2,L3,V6,M3} I { ! perp( X, Y, U, W ), ! perp( U, W, Z, T ),
% 17.33/17.71 para( X, Y, Z, T ) }.
% 17.33/17.71 (13) {G0,W10,D2,L2,V4,M2} I { ! cyclic( X, Y, Z, T ), cyclic( X, Y, T, Z )
% 17.33/17.71 }.
% 17.33/17.71 (14) {G0,W10,D2,L2,V4,M2} I { ! cyclic( X, Y, Z, T ), cyclic( X, Z, Y, T )
% 17.33/17.71 }.
% 17.33/17.71 (15) {G0,W10,D2,L2,V4,M2} I { ! cyclic( X, Y, Z, T ), cyclic( Y, X, Z, T )
% 17.33/17.71 }.
% 17.33/17.71 (16) {G0,W15,D2,L3,V5,M3} I { ! cyclic( U, X, Y, Z ), ! cyclic( U, X, Y, T
% 17.33/17.71 ), cyclic( X, Y, Z, T ) }.
% 17.33/17.71 (18) {G0,W18,D2,L2,V8,M2} I { ! eqangle( X, Y, Z, T, U, W, V0, V1 ),
% 17.33/17.71 eqangle( Z, T, X, Y, V0, V1, U, W ) }.
% 17.33/17.71 (19) {G0,W18,D2,L2,V8,M2} I { ! eqangle( X, Y, Z, T, U, W, V0, V1 ),
% 17.33/17.71 eqangle( U, W, V0, V1, X, Y, Z, T ) }.
% 17.33/17.71 (39) {G0,W14,D2,L2,V6,M2} I { ! para( X, Y, Z, T ), eqangle( X, Y, U, W, Z
% 17.33/17.71 , T, U, W ) }.
% 17.33/17.71 (40) {G0,W14,D2,L2,V4,M2} I { ! cyclic( X, Y, Z, T ), eqangle( Z, X, Z, Y,
% 17.33/17.71 T, X, T, Y ) }.
% 17.33/17.71 (42) {G0,W18,D2,L3,V4,M3} I { ! eqangle( Z, X, Z, Y, T, X, T, Y ), ! coll(
% 17.33/17.71 Z, T, Y ), cyclic( X, Y, Z, T ) }.
% 17.33/17.71 (43) {G0,W29,D2,L5,V6,M5} I { ! cyclic( X, Y, U, Z ), ! cyclic( X, Y, U, T
% 17.33/17.71 ), ! cyclic( X, Y, U, W ), ! eqangle( U, X, U, Y, W, Z, W, T ), cong( X
% 17.33/17.71 , Y, Z, T ) }.
% 17.33/17.71 (56) {G0,W15,D2,L3,V4,M3} I { ! cong( X, Z, Y, Z ), ! cong( X, T, Y, T ),
% 17.33/17.71 perp( X, Y, Z, T ) }.
% 17.33/17.71 (96) {G0,W14,D2,L3,V4,M3} I { ! perp( X, T, Y, Z ), ! perp( Y, T, X, Z ),
% 17.33/17.71 alpha1( X, Y, Z ) }.
% 17.33/17.71 (97) {G0,W11,D3,L2,V4,M2} I { ! alpha1( X, Y, Z ), coll( skol11( X, T, Z )
% 17.33/17.71 , Z, X ) }.
% 17.33/17.71 (100) {G0,W12,D3,L2,V4,M2} I { ! circle( Y, X, Z, T ), perp( skol12( X, Y )
% 17.33/17.71 , X, X, Y ) }.
% 17.33/17.71 (122) {G0,W5,D2,L1,V0,M1} I { circle( skol25, skol32, skol22, skol36 ) }.
% 17.33/17.71 (126) {G0,W5,D2,L1,V0,M1} I { ! para( skol24, skol20, skol23, skol22 ) }.
% 17.33/17.71 (156) {G1,W9,D2,L2,V3,M2} F(96) { ! perp( X, Y, X, Z ), alpha1( X, X, Z )
% 17.33/17.71 }.
% 17.33/17.71 (193) {G1,W12,D2,L3,V4,M3} R(2,0) { ! coll( X, Y, Z ), ! coll( X, Y, T ),
% 17.33/17.71 coll( Z, X, T ) }.
% 17.33/17.71 (198) {G2,W8,D2,L2,V3,M2} F(193) { ! coll( X, Y, Z ), coll( Z, X, Z ) }.
% 17.33/17.71 (214) {G1,W5,D2,L1,V0,M1} R(4,126) { ! para( skol23, skol22, skol24, skol20
% 17.33/17.71 ) }.
% 17.33/17.71 (234) {G2,W10,D2,L2,V2,M2} R(214,5) { ! para( skol23, skol22, X, Y ), !
% 17.33/17.71 para( X, Y, skol24, skol20 ) }.
% 17.33/17.71 (240) {G3,W12,D2,L3,V4,M3} R(198,2) { coll( X, Y, X ), ! coll( X, Z, Y ), !
% 17.33/17.71 coll( X, Z, T ) }.
% 17.33/17.71 (253) {G4,W8,D2,L2,V3,M2} F(240) { coll( X, Y, X ), ! coll( X, Z, Y ) }.
% 17.33/17.71 (272) {G1,W15,D2,L3,V6,M3} R(8,7) { ! perp( X, Y, Z, T ), para( U, W, Z, T
% 17.33/17.71 ), ! perp( X, Y, U, W ) }.
% 17.33/17.71 (273) {G1,W15,D2,L3,V6,M3} R(8,7) { ! perp( X, Y, Z, T ), para( X, Y, U, W
% 17.33/17.71 ), ! perp( U, W, Z, T ) }.
% 17.33/17.71 (291) {G2,W10,D2,L2,V4,M2} F(273) { ! perp( X, Y, Z, T ), para( X, Y, X, Y
% 17.33/17.71 ) }.
% 17.33/17.71 (348) {G1,W10,D2,L2,V4,M2} R(14,13) { ! cyclic( X, Y, Z, T ), cyclic( X, Z
% 17.33/17.71 , T, Y ) }.
% 17.33/17.71 (358) {G1,W10,D2,L2,V4,M2} R(15,14) { cyclic( X, Y, Z, T ), ! cyclic( Y, Z
% 17.33/17.71 , X, T ) }.
% 17.33/17.71 (360) {G1,W10,D2,L2,V4,M2} R(15,13) { cyclic( X, Y, Z, T ), ! cyclic( Y, X
% 17.33/17.71 , T, Z ) }.
% 17.33/17.71 (377) {G1,W15,D2,L3,V5,M3} R(16,15) { ! cyclic( X, Y, Z, T ), ! cyclic( X,
% 17.33/17.71 Y, Z, U ), cyclic( Z, Y, T, U ) }.
% 17.33/17.71 (382) {G1,W15,D2,L3,V5,M3} R(16,13) { ! cyclic( X, Y, Z, T ), cyclic( Y, Z
% 17.33/17.71 , T, U ), ! cyclic( X, Y, U, Z ) }.
% 17.33/17.71 (386) {G2,W10,D2,L2,V4,M2} F(377) { ! cyclic( X, Y, Z, T ), cyclic( Z, Y, T
% 17.33/17.71 , T ) }.
% 17.33/17.71 (423) {G5,W8,D2,L2,V3,M2} R(253,1) { ! coll( X, Y, Z ), coll( Z, X, X ) }.
% 17.33/17.71 (431) {G6,W8,D2,L2,V3,M2} R(423,1) { coll( X, Y, Y ), ! coll( Z, Y, X ) }.
% 17.33/17.71 (432) {G6,W8,D2,L2,V3,M2} R(423,0) { coll( X, Y, Y ), ! coll( Y, X, Z ) }.
% 17.33/17.71 (433) {G7,W8,D2,L2,V3,M2} R(431,423) { ! coll( X, Y, Z ), coll( Y, Z, Z )
% 17.33/17.71 }.
% 17.33/17.71 (436) {G7,W8,D2,L2,V3,M2} R(432,432) { ! coll( X, Y, Z ), coll( X, Y, Y )
% 17.33/17.71 }.
% 17.33/17.71 (442) {G8,W12,D2,L3,V4,M3} R(436,2) { ! coll( X, Y, Z ), ! coll( X, Y, T )
% 17.33/17.71 , coll( T, Y, X ) }.
% 17.33/17.71 (443) {G9,W8,D2,L2,V3,M2} F(442) { ! coll( X, Y, Z ), coll( Z, Y, X ) }.
% 17.33/17.71 (446) {G10,W8,D2,L2,V3,M2} R(443,433) { coll( X, X, Y ), ! coll( Z, Y, X )
% 17.33/17.71 }.
% 17.33/17.71 (770) {G1,W14,D2,L2,V6,M2} R(39,18) { ! para( X, Y, Z, T ), eqangle( U, W,
% 17.33/17.71 X, Y, U, W, Z, T ) }.
% 17.33/17.71 (839) {G1,W18,D2,L3,V4,M3} R(42,19) { ! coll( X, Y, Z ), cyclic( T, Z, X, Y
% 17.33/17.71 ), ! eqangle( Y, T, Y, Z, X, T, X, Z ) }.
% 17.33/17.71 (914) {G1,W20,D2,L4,V4,M4} R(43,40);f { ! cyclic( X, Y, Z, X ), ! cyclic( X
% 17.33/17.71 , Y, Z, Y ), ! cyclic( X, Y, Z, T ), cong( X, Y, X, Y ) }.
% 17.33/17.71 (946) {G2,W15,D2,L3,V3,M3} F(914) { ! cyclic( X, Y, Z, X ), ! cyclic( X, Y
% 17.33/17.71 , Z, Y ), cong( X, Y, X, Y ) }.
% 17.33/17.71 (4804) {G1,W7,D3,L1,V0,M1} R(100,122) { perp( skol12( skol32, skol25 ),
% 17.33/17.71 skol32, skol32, skol25 ) }.
% 17.33/17.71 (9385) {G2,W7,D3,L1,V0,M1} R(4804,7) { perp( skol32, skol25, skol12( skol32
% 17.33/17.71 , skol25 ), skol32 ) }.
% 17.33/17.71 (9396) {G3,W7,D3,L1,V0,M1} R(9385,6) { perp( skol32, skol25, skol32, skol12
% 17.33/17.71 ( skol32, skol25 ) ) }.
% 17.33/17.71 (9406) {G4,W7,D3,L1,V0,M1} R(9396,7) { perp( skol32, skol12( skol32, skol25
% 17.33/17.71 ), skol32, skol25 ) }.
% 17.33/17.71 (9409) {G5,W4,D2,L1,V0,M1} R(9406,156) { alpha1( skol32, skol32, skol25 )
% 17.33/17.71 }.
% 17.33/17.71 (9420) {G6,W7,D3,L1,V1,M1} R(9409,97) { coll( skol11( skol32, X, skol25 ),
% 17.33/17.71 skol25, skol32 ) }.
% 17.33/17.71 (9434) {G11,W4,D2,L1,V0,M1} R(9420,446) { coll( skol32, skol32, skol25 )
% 17.33/17.71 }.
% 17.33/17.71 (16772) {G4,W5,D2,L1,V0,M1} R(291,9396) { para( skol32, skol25, skol32,
% 17.33/17.71 skol25 ) }.
% 17.33/17.71 (44632) {G5,W9,D2,L1,V2,M1} R(770,16772) { eqangle( X, Y, skol32, skol25, X
% 17.33/17.71 , Y, skol32, skol25 ) }.
% 17.33/17.71 (49151) {G12,W5,D2,L1,V1,M1} R(839,9434);r(44632) { cyclic( X, skol25,
% 17.33/17.71 skol32, skol32 ) }.
% 17.33/17.71 (49235) {G13,W5,D2,L1,V1,M1} R(49151,360) { cyclic( skol25, X, skol32,
% 17.33/17.71 skol32 ) }.
% 17.33/17.71 (49247) {G14,W5,D2,L1,V1,M1} R(49235,386) { cyclic( skol32, X, skol32,
% 17.33/17.71 skol32 ) }.
% 17.33/17.71 (49269) {G15,W5,D2,L1,V1,M1} R(49247,358) { cyclic( skol32, skol32, X,
% 17.33/17.71 skol32 ) }.
% 17.33/17.71 (49270) {G15,W5,D2,L1,V1,M1} R(49247,348) { cyclic( skol32, skol32, skol32
% 17.33/17.71 , X ) }.
% 17.33/17.71 (49275) {G16,W5,D2,L1,V2,M1} R(49269,382);r(49270) { cyclic( skol32, skol32
% 17.33/17.71 , X, Y ) }.
% 17.33/17.71 (49637) {G17,W5,D2,L1,V3,M1} R(49275,382);r(49275) { cyclic( skol32, X, Y,
% 17.33/17.71 Z ) }.
% 17.33/17.71 (49656) {G18,W5,D2,L1,V4,M1} R(49637,382);r(49637) { cyclic( X, Y, Z, T )
% 17.33/17.71 }.
% 17.33/17.71 (54172) {G19,W5,D2,L1,V2,M1} S(946);r(49656);r(49656) { cong( X, Y, X, Y )
% 17.33/17.71 }.
% 17.33/17.71 (54189) {G20,W5,D2,L1,V3,M1} R(54172,56);r(54172) { perp( X, X, Z, Y ) }.
% 17.33/17.71 (54222) {G21,W5,D2,L1,V4,M1} R(54189,272);r(54189) { para( X, Y, Z, T ) }.
% 17.33/17.71 (54401) {G22,W0,D0,L0,V0,M0} R(54222,234);r(54222) { }.
% 17.33/17.71
% 17.33/17.71
% 17.33/17.71 % SZS output end Refutation
% 17.33/17.71 found a proof!
% 17.33/17.71
% 17.33/17.71
% 17.33/17.71 Unprocessed initial clauses:
% 17.33/17.71
% 17.33/17.71 (54403) {G0,W8,D2,L2,V3,M2} { ! coll( X, Y, Z ), coll( X, Z, Y ) }.
% 17.33/17.71 (54404) {G0,W8,D2,L2,V3,M2} { ! coll( X, Y, Z ), coll( Y, X, Z ) }.
% 17.33/17.71 (54405) {G0,W12,D2,L3,V4,M3} { ! coll( X, T, Y ), ! coll( X, T, Z ), coll
% 17.33/17.71 ( Y, Z, X ) }.
% 17.33/17.71 (54406) {G0,W10,D2,L2,V4,M2} { ! para( X, Y, Z, T ), para( X, Y, T, Z )
% 17.33/17.71 }.
% 17.33/17.71 (54407) {G0,W10,D2,L2,V4,M2} { ! para( X, Y, Z, T ), para( Z, T, X, Y )
% 17.33/17.71 }.
% 17.33/17.71 (54408) {G0,W15,D2,L3,V6,M3} { ! para( X, Y, U, W ), ! para( U, W, Z, T )
% 17.33/17.71 , para( X, Y, Z, T ) }.
% 17.33/17.71 (54409) {G0,W10,D2,L2,V4,M2} { ! perp( X, Y, Z, T ), perp( X, Y, T, Z )
% 17.33/17.71 }.
% 17.33/17.71 (54410) {G0,W10,D2,L2,V4,M2} { ! perp( X, Y, Z, T ), perp( Z, T, X, Y )
% 17.33/17.71 }.
% 17.33/17.71 (54411) {G0,W15,D2,L3,V6,M3} { ! perp( X, Y, U, W ), ! perp( U, W, Z, T )
% 17.33/17.71 , para( X, Y, Z, T ) }.
% 17.33/17.71 (54412) {G0,W15,D2,L3,V6,M3} { ! para( X, Y, U, W ), ! perp( U, W, Z, T )
% 17.33/17.71 , perp( X, Y, Z, T ) }.
% 17.33/17.71 (54413) {G0,W8,D2,L2,V3,M2} { ! midp( Z, Y, X ), midp( Z, X, Y ) }.
% 17.33/17.71 (54414) {G0,W15,D2,L3,V4,M3} { ! cong( T, X, T, Y ), ! cong( T, X, T, Z )
% 17.33/17.71 , circle( T, X, Y, Z ) }.
% 17.33/17.71 (54415) {G0,W20,D2,L4,V5,M4} { ! cong( U, X, U, Y ), ! cong( U, X, U, Z )
% 17.33/17.71 , ! cong( U, X, U, T ), cyclic( X, Y, Z, T ) }.
% 17.33/17.71 (54416) {G0,W10,D2,L2,V4,M2} { ! cyclic( X, Y, Z, T ), cyclic( X, Y, T, Z
% 17.33/17.71 ) }.
% 17.33/17.71 (54417) {G0,W10,D2,L2,V4,M2} { ! cyclic( X, Y, Z, T ), cyclic( X, Z, Y, T
% 17.33/17.71 ) }.
% 17.33/17.71 (54418) {G0,W10,D2,L2,V4,M2} { ! cyclic( X, Y, Z, T ), cyclic( Y, X, Z, T
% 17.33/17.71 ) }.
% 17.33/17.71 (54419) {G0,W15,D2,L3,V5,M3} { ! cyclic( U, X, Y, Z ), ! cyclic( U, X, Y,
% 17.33/17.71 T ), cyclic( X, Y, Z, T ) }.
% 17.33/17.71 (54420) {G0,W18,D2,L2,V8,M2} { ! eqangle( X, Y, Z, T, U, W, V0, V1 ),
% 17.33/17.71 eqangle( Y, X, Z, T, U, W, V0, V1 ) }.
% 17.33/17.71 (54421) {G0,W18,D2,L2,V8,M2} { ! eqangle( X, Y, Z, T, U, W, V0, V1 ),
% 17.33/17.71 eqangle( Z, T, X, Y, V0, V1, U, W ) }.
% 17.33/17.71 (54422) {G0,W18,D2,L2,V8,M2} { ! eqangle( X, Y, Z, T, U, W, V0, V1 ),
% 17.33/17.71 eqangle( U, W, V0, V1, X, Y, Z, T ) }.
% 17.33/17.71 (54423) {G0,W18,D2,L2,V8,M2} { ! eqangle( X, Y, Z, T, U, W, V0, V1 ),
% 17.33/17.71 eqangle( X, Y, U, W, Z, T, V0, V1 ) }.
% 17.33/17.71 (54424) {G0,W27,D2,L3,V12,M3} { ! eqangle( X, Y, Z, T, V2, V3, V4, V5 ), !
% 17.33/17.71 eqangle( V2, V3, V4, V5, U, W, V0, V1 ), eqangle( X, Y, Z, T, U, W, V0,
% 17.33/17.71 V1 ) }.
% 17.33/17.71 (54425) {G0,W10,D2,L2,V4,M2} { ! cong( X, Y, Z, T ), cong( X, Y, T, Z )
% 17.33/17.71 }.
% 17.33/17.71 (54426) {G0,W10,D2,L2,V4,M2} { ! cong( X, Y, Z, T ), cong( Z, T, X, Y )
% 17.33/17.71 }.
% 17.33/17.71 (54427) {G0,W15,D2,L3,V6,M3} { ! cong( X, Y, U, W ), ! cong( U, W, Z, T )
% 17.33/17.71 , cong( X, Y, Z, T ) }.
% 17.33/17.71 (54428) {G0,W18,D2,L2,V8,M2} { ! eqratio( X, Y, Z, T, U, W, V0, V1 ),
% 17.33/17.71 eqratio( Y, X, Z, T, U, W, V0, V1 ) }.
% 17.33/17.71 (54429) {G0,W18,D2,L2,V8,M2} { ! eqratio( X, Y, Z, T, U, W, V0, V1 ),
% 17.33/17.71 eqratio( Z, T, X, Y, V0, V1, U, W ) }.
% 17.33/17.71 (54430) {G0,W18,D2,L2,V8,M2} { ! eqratio( X, Y, Z, T, U, W, V0, V1 ),
% 17.33/17.71 eqratio( U, W, V0, V1, X, Y, Z, T ) }.
% 17.33/17.71 (54431) {G0,W18,D2,L2,V8,M2} { ! eqratio( X, Y, Z, T, U, W, V0, V1 ),
% 17.33/17.71 eqratio( X, Y, U, W, Z, T, V0, V1 ) }.
% 17.33/17.71 (54432) {G0,W27,D2,L3,V12,M3} { ! eqratio( X, Y, Z, T, V2, V3, V4, V5 ), !
% 17.33/17.71 eqratio( V2, V3, V4, V5, U, W, V0, V1 ), eqratio( X, Y, Z, T, U, W, V0,
% 17.33/17.71 V1 ) }.
% 17.33/17.71 (54433) {G0,W14,D2,L2,V6,M2} { ! simtri( X, Z, Y, T, W, U ), simtri( X, Y
% 17.33/17.71 , Z, T, U, W ) }.
% 17.33/17.71 (54434) {G0,W14,D2,L2,V6,M2} { ! simtri( Y, X, Z, U, T, W ), simtri( X, Y
% 17.33/17.71 , Z, T, U, W ) }.
% 17.33/17.71 (54435) {G0,W14,D2,L2,V6,M2} { ! simtri( T, U, W, X, Y, Z ), simtri( X, Y
% 17.33/17.71 , Z, T, U, W ) }.
% 17.33/17.71 (54436) {G0,W21,D2,L3,V9,M3} { ! simtri( X, Y, Z, V0, V1, V2 ), ! simtri(
% 17.33/17.71 V0, V1, V2, T, U, W ), simtri( X, Y, Z, T, U, W ) }.
% 17.33/17.71 (54437) {G0,W14,D2,L2,V6,M2} { ! contri( X, Z, Y, T, W, U ), contri( X, Y
% 17.33/17.71 , Z, T, U, W ) }.
% 17.33/17.71 (54438) {G0,W14,D2,L2,V6,M2} { ! contri( Y, X, Z, U, T, W ), contri( X, Y
% 17.33/17.71 , Z, T, U, W ) }.
% 17.33/17.71 (54439) {G0,W14,D2,L2,V6,M2} { ! contri( T, U, W, X, Y, Z ), contri( X, Y
% 17.33/17.71 , Z, T, U, W ) }.
% 17.33/17.71 (54440) {G0,W21,D2,L3,V9,M3} { ! contri( X, Y, Z, V0, V1, V2 ), ! contri(
% 17.33/17.71 V0, V1, V2, T, U, W ), contri( X, Y, Z, T, U, W ) }.
% 17.33/17.71 (54441) {G0,W14,D2,L2,V6,M2} { ! eqangle( X, Y, U, W, Z, T, U, W ), para(
% 17.33/17.71 X, Y, Z, T ) }.
% 17.33/17.71 (54442) {G0,W14,D2,L2,V6,M2} { ! para( X, Y, Z, T ), eqangle( X, Y, U, W,
% 17.33/17.71 Z, T, U, W ) }.
% 17.33/17.71 (54443) {G0,W14,D2,L2,V4,M2} { ! cyclic( X, Y, Z, T ), eqangle( Z, X, Z, Y
% 17.33/17.71 , T, X, T, Y ) }.
% 17.33/17.71 (54444) {G0,W18,D2,L3,V4,M3} { ! eqangle( Z, X, Z, Y, T, X, T, Y ), coll(
% 17.33/17.71 Z, T, X ), cyclic( X, Y, Z, T ) }.
% 17.33/17.71 (54445) {G0,W18,D2,L3,V4,M3} { ! eqangle( Z, X, Z, Y, T, X, T, Y ), ! coll
% 17.33/17.71 ( Z, T, Y ), cyclic( X, Y, Z, T ) }.
% 17.33/17.71 (54446) {G0,W29,D2,L5,V6,M5} { ! cyclic( X, Y, U, Z ), ! cyclic( X, Y, U,
% 17.33/17.71 T ), ! cyclic( X, Y, U, W ), ! eqangle( U, X, U, Y, W, Z, W, T ), cong( X
% 17.33/17.71 , Y, Z, T ) }.
% 17.33/17.71 (54447) {G0,W13,D2,L3,V5,M3} { ! midp( Z, U, X ), ! midp( T, U, Y ), para
% 17.33/17.71 ( Z, T, X, Y ) }.
% 17.33/17.71 (54448) {G0,W17,D2,L4,V5,M4} { ! midp( U, X, T ), ! para( U, Z, T, Y ), !
% 17.33/17.71 coll( Z, X, Y ), midp( Z, X, Y ) }.
% 17.33/17.71 (54449) {G0,W14,D2,L2,V3,M2} { ! cong( Z, X, Z, Y ), eqangle( Z, X, X, Y,
% 17.33/17.71 X, Y, Z, Y ) }.
% 17.33/17.71 (54450) {G0,W18,D2,L3,V3,M3} { ! eqangle( Z, X, X, Y, X, Y, Z, Y ), coll(
% 17.33/17.71 Z, X, Y ), cong( Z, X, Z, Y ) }.
% 17.33/17.71 (54451) {G0,W19,D2,L3,V5,M3} { ! circle( U, X, Y, Z ), ! perp( U, X, X, T
% 17.33/17.71 ), eqangle( X, T, X, Y, Z, X, Z, Y ) }.
% 17.33/17.71 (54452) {G0,W19,D2,L3,V5,M3} { ! circle( Y, X, T, U ), ! eqangle( X, Z, X
% 17.33/17.71 , T, U, X, U, T ), perp( Y, X, X, Z ) }.
% 17.33/17.71 (54453) {G0,W18,D2,L3,V5,M3} { ! circle( T, X, Y, Z ), ! midp( U, Y, Z ),
% 17.33/17.71 eqangle( X, Y, X, Z, T, Y, T, U ) }.
% 17.33/17.71 (54454) {G0,W22,D2,L4,V5,M4} { ! circle( U, T, X, Y ), ! coll( Z, X, Y ),
% 17.33/17.71 ! eqangle( T, X, T, Y, U, X, U, Z ), midp( Z, X, Y ) }.
% 17.33/17.71 (54455) {G0,W14,D2,L3,V4,M3} { ! perp( X, Y, Y, T ), ! midp( Z, X, T ),
% 17.33/17.71 cong( X, Z, Y, Z ) }.
% 17.33/17.71 (54456) {G0,W14,D2,L3,V4,M3} { ! circle( T, X, Y, Z ), ! coll( T, X, Z ),
% 17.33/17.71 perp( X, Y, Y, Z ) }.
% 17.33/17.71 (54457) {G0,W19,D2,L3,V4,M3} { ! cyclic( X, Y, Z, T ), ! para( X, Y, Z, T
% 17.33/17.71 ), eqangle( X, T, Z, T, Z, T, Z, Y ) }.
% 17.33/17.71 (54458) {G0,W14,D2,L3,V4,M3} { ! midp( T, X, Y ), ! perp( Z, T, X, Y ),
% 17.33/17.71 cong( Z, X, Z, Y ) }.
% 17.33/17.71 (54459) {G0,W15,D2,L3,V4,M3} { ! cong( X, Z, Y, Z ), ! cong( X, T, Y, T )
% 17.33/17.71 , perp( X, Y, Z, T ) }.
% 17.33/17.71 (54460) {G0,W20,D2,L4,V4,M4} { ! cong( X, Y, T, Y ), ! cong( X, Z, T, Z )
% 17.33/17.71 , ! cyclic( X, T, Y, Z ), perp( Y, X, X, Z ) }.
% 17.33/17.71 (54461) {G0,W29,D2,L4,V6,M4} { ! eqangle( X, Y, Y, Z, T, U, U, W ), !
% 17.33/17.71 eqangle( X, Z, Y, Z, T, W, U, W ), coll( X, Y, Z ), simtri( X, Y, Z, T, U
% 17.33/17.71 , W ) }.
% 17.33/17.71 (54462) {G0,W16,D2,L2,V6,M2} { ! simtri( X, Y, Z, T, U, W ), eqratio( X, Y
% 17.33/17.71 , X, Z, T, U, T, W ) }.
% 17.33/17.71 (54463) {G0,W16,D2,L2,V6,M2} { ! simtri( X, Y, Z, T, U, W ), eqangle( X, Y
% 17.33/17.71 , Y, Z, T, U, U, W ) }.
% 17.33/17.71 (54464) {G0,W19,D2,L3,V6,M3} { ! simtri( X, Y, Z, T, U, W ), ! cong( X, Y
% 17.33/17.71 , T, U ), contri( X, Y, Z, T, U, W ) }.
% 17.33/17.71 (54465) {G0,W12,D2,L2,V6,M2} { ! contri( X, Y, U, Z, T, W ), cong( X, Y, Z
% 17.33/17.71 , T ) }.
% 17.33/17.71 (54466) {G0,W13,D2,L3,V5,M3} { ! midp( U, X, Y ), ! midp( U, Z, T ), para
% 17.33/17.71 ( X, Z, Y, T ) }.
% 17.33/17.71 (54467) {G0,W18,D2,L4,V5,M4} { ! midp( Z, T, U ), ! para( T, X, U, Y ), !
% 17.33/17.71 para( T, Y, U, X ), midp( Z, X, Y ) }.
% 17.33/17.71 (54468) {G0,W22,D2,L4,V5,M4} { ! para( X, Y, Z, T ), ! coll( U, X, Z ), !
% 17.33/17.71 coll( U, Y, T ), eqratio( U, X, X, Z, U, Y, Y, T ) }.
% 17.33/17.71 (54469) {G0,W9,D2,L2,V3,M2} { ! para( X, Y, X, Z ), coll( X, Y, Z ) }.
% 17.33/17.71 (54470) {G0,W13,D2,L3,V3,M3} { ! cong( X, Y, X, Z ), ! coll( X, Y, Z ),
% 17.33/17.71 midp( X, Y, Z ) }.
% 17.33/17.71 (54471) {G0,W9,D2,L2,V3,M2} { ! midp( X, Y, Z ), cong( X, Y, X, Z ) }.
% 17.33/17.71 (54472) {G0,W8,D2,L2,V3,M2} { ! midp( X, Y, Z ), coll( X, Y, Z ) }.
% 17.33/17.71 (54473) {G0,W17,D2,L3,V6,M3} { ! midp( U, X, Y ), ! midp( W, Z, T ),
% 17.33/17.71 eqratio( U, X, X, Y, W, Z, Z, T ) }.
% 17.33/17.71 (54474) {G0,W19,D2,L3,V4,M3} { ! eqangle( X, Y, Z, T, Z, T, X, Y ), para(
% 17.33/17.71 X, Y, Z, T ), perp( X, Y, Z, T ) }.
% 17.33/17.71 (54475) {G0,W19,D2,L3,V4,M3} { ! eqangle( X, Y, Z, T, Z, T, X, Y ), perp(
% 17.33/17.71 X, Y, Z, T ), para( X, Y, Z, T ) }.
% 17.33/17.71 (54476) {G0,W19,D2,L3,V8,M3} { ! eqangle( X, Y, Z, T, U, W, V0, V1 ), !
% 17.33/17.71 para( U, W, V0, V1 ), para( X, Y, Z, T ) }.
% 17.33/17.71 (54477) {G0,W19,D2,L3,V8,M3} { ! eqangle( X, Y, Z, T, U, W, V0, V1 ), !
% 17.33/17.71 perp( U, W, V0, V1 ), perp( X, Y, Z, T ) }.
% 17.33/17.71 (54478) {G0,W19,D2,L3,V8,M3} { ! eqratio( X, Y, Z, T, U, W, V0, V1 ), !
% 17.33/17.71 cong( U, W, V0, V1 ), cong( X, Y, Z, T ) }.
% 17.33/17.71 (54479) {G0,W22,D3,L3,V6,M3} { ! perp( Z, Y, Y, X ), ! eqangle( T, Z, Y, Z
% 17.33/17.71 , Y, Z, X, Z ), coll( skol1( U, W, Z, T ), Z, T ) }.
% 17.33/17.71 (54480) {G0,W22,D3,L3,V4,M3} { ! perp( Z, Y, Y, X ), ! eqangle( T, Z, Y, Z
% 17.33/17.71 , Y, Z, X, Z ), coll( skol1( X, Y, Z, T ), X, Y ) }.
% 17.33/17.71 (54481) {G0,W22,D3,L3,V6,M3} { ! cong( Z, X, Z, Y ), ! eqangle( X, Z, Z, T
% 17.33/17.71 , Z, T, Z, Y ), coll( skol2( U, W, Z, T ), Z, T ) }.
% 17.33/17.71 (54482) {G0,W22,D3,L3,V4,M3} { ! cong( Z, X, Z, Y ), ! eqangle( X, Z, Z, T
% 17.33/17.71 , Z, T, Z, Y ), coll( Y, X, skol2( X, Y, Z, T ) ) }.
% 17.33/17.71 (54483) {G0,W22,D3,L3,V6,M3} { ! perp( Z, T, X, Y ), ! eqangle( X, Z, Z, T
% 17.33/17.71 , Z, T, Z, Y ), coll( skol3( U, W, Z, T ), Z, T ) }.
% 17.33/17.71 (54484) {G0,W22,D3,L3,V4,M3} { ! perp( Z, T, X, Y ), ! eqangle( X, Z, Z, T
% 17.33/17.71 , Z, T, Z, Y ), coll( Y, X, skol3( X, Y, Z, T ) ) }.
% 17.33/17.71 (54485) {G0,W18,D3,L3,V6,M3} { ! perp( Z, T, X, Y ), ! cong( Z, X, Z, Y )
% 17.33/17.71 , coll( skol4( U, W, Z, T ), Z, T ) }.
% 17.33/17.71 (54486) {G0,W18,D3,L3,V4,M3} { ! perp( Z, T, X, Y ), ! cong( Z, X, Z, Y )
% 17.33/17.71 , coll( Y, X, skol4( X, Y, Z, T ) ) }.
% 17.33/17.71 (54487) {G0,W22,D3,L3,V6,M3} { ! eqangle( X, Z, Y, Z, X, T, Y, U ), coll(
% 17.33/17.71 X, Y, Z ), cyclic( T, Y, Z, skol5( W, Y, Z, T ) ) }.
% 17.33/17.71 (54488) {G0,W30,D3,L3,V5,M3} { ! eqangle( X, Z, Y, Z, X, T, Y, U ), coll(
% 17.33/17.71 X, Y, Z ), eqangle( X, Z, Y, Z, X, skol5( X, Y, Z, T ), Y, skol5( X, Y, Z
% 17.33/17.71 , T ) ) }.
% 17.33/17.71 (54489) {G0,W18,D3,L3,V10,M3} { ! midp( U, X, Y ), ! midp( W, Z, T ), midp
% 17.33/17.71 ( skol6( X, V0, V1, T, V2, V3 ), X, T ) }.
% 17.33/17.71 (54490) {G0,W19,D3,L3,V8,M3} { ! midp( U, X, Y ), ! midp( W, Z, T ), para
% 17.33/17.71 ( skol6( X, V0, Z, T, V1, W ), W, X, Z ) }.
% 17.33/17.71 (54491) {G0,W19,D3,L3,V6,M3} { ! midp( U, X, Y ), ! midp( W, Z, T ), para
% 17.33/17.71 ( skol6( X, Y, Z, T, U, W ), U, Y, T ) }.
% 17.33/17.71 (54492) {G0,W22,D3,L5,V7,M5} { ! midp( Z, X, Y ), ! midp( W, T, U ), !
% 17.33/17.71 coll( T, X, Y ), ! coll( U, X, Y ), midp( skol7( X, V0 ), X, V0 ) }.
% 17.33/17.71 (54493) {G0,W26,D3,L5,V8,M5} { ! midp( T, X, U ), ! para( X, W, Z, T ), !
% 17.33/17.71 para( X, W, U, Y ), ! coll( W, Y, Z ), coll( skol8( V0, V1, Z, T ), T, Z
% 17.33/17.71 ) }.
% 17.33/17.71 (54494) {G0,W26,D3,L5,V6,M5} { ! midp( T, X, U ), ! para( X, W, Z, T ), !
% 17.33/17.71 para( X, W, U, Y ), ! coll( W, Y, Z ), coll( skol8( X, Y, Z, T ), X, Y )
% 17.33/17.71 }.
% 17.33/17.71 (54495) {G0,W19,D3,L3,V7,M3} { ! cong( T, Z, T, U ), ! perp( X, Y, Y, T )
% 17.33/17.71 , cong( T, Z, T, skol9( W, V0, Z, T ) ) }.
% 17.33/17.71 (54496) {G0,W19,D3,L3,V6,M3} { ! cong( T, Z, T, U ), ! perp( X, Y, Y, T )
% 17.33/17.71 , cong( Y, Z, Y, skol9( W, Y, Z, T ) ) }.
% 17.33/17.71 (54497) {G0,W19,D3,L3,V5,M3} { ! cong( T, Z, T, U ), ! perp( X, Y, Y, T )
% 17.33/17.71 , para( skol9( X, Y, Z, T ), Z, X, Y ) }.
% 17.33/17.71 (54498) {G0,W17,D3,L3,V5,M3} { ! perp( X, T, Y, Z ), ! perp( Y, T, X, Z )
% 17.33/17.71 , coll( skol10( U, Y, Z ), Z, Y ) }.
% 17.33/17.71 (54499) {G0,W18,D3,L3,V4,M3} { ! perp( X, T, Y, Z ), ! perp( Y, T, X, Z )
% 17.33/17.71 , perp( X, skol10( X, Y, Z ), Z, Y ) }.
% 17.33/17.71 (54500) {G0,W14,D2,L3,V4,M3} { ! perp( X, T, Y, Z ), ! perp( Y, T, X, Z )
% 17.33/17.71 , alpha1( X, Y, Z ) }.
% 17.33/17.71 (54501) {G0,W11,D3,L2,V4,M2} { ! alpha1( X, Y, Z ), coll( skol11( X, T, Z
% 17.33/17.71 ), Z, X ) }.
% 17.33/17.71 (54502) {G0,W12,D3,L2,V3,M2} { ! alpha1( X, Y, Z ), perp( Y, skol11( X, Y
% 17.33/17.71 , Z ), Z, X ) }.
% 17.33/17.71 (54503) {G0,W13,D2,L3,V4,M3} { ! coll( T, Z, X ), ! perp( Y, T, Z, X ),
% 17.33/17.71 alpha1( X, Y, Z ) }.
% 17.33/17.71 (54504) {G0,W12,D3,L2,V4,M2} { ! circle( Y, X, Z, T ), perp( skol12( X, Y
% 17.33/17.71 ), X, X, Y ) }.
% 17.33/17.71 (54505) {G0,W28,D3,L5,V8,M5} { ! circle( W, X, Y, Z ), ! cong( W, X, W, T
% 17.33/17.71 ), ! cong( U, X, U, Y ), W = U, alpha2( X, Z, U, skol13( X, V0, Z, V1, U
% 17.33/17.71 ) ) }.
% 17.33/17.71 (54506) {G0,W26,D3,L5,V8,M5} { ! circle( W, X, Y, Z ), ! cong( W, X, W, T
% 17.33/17.71 ), ! cong( U, X, U, Y ), W = U, coll( skol21( V0, Y, T, V1 ), Y, T ) }.
% 17.33/17.71 (54507) {G0,W27,D3,L5,V6,M5} { ! circle( W, X, Y, Z ), ! cong( W, X, W, T
% 17.33/17.71 ), ! cong( U, X, U, Y ), W = U, cong( skol21( X, Y, T, U ), U, U, X )
% 17.33/17.71 }.
% 17.33/17.71 (54508) {G0,W9,D2,L2,V4,M2} { ! alpha2( X, Y, Z, T ), coll( T, X, Y ) }.
% 17.33/17.71 (54509) {G0,W10,D2,L2,V4,M2} { ! alpha2( X, Y, Z, T ), cong( T, Z, Z, X )
% 17.33/17.71 }.
% 17.33/17.71 (54510) {G0,W14,D2,L3,V4,M3} { ! coll( T, X, Y ), ! cong( T, Z, Z, X ),
% 17.33/17.71 alpha2( X, Y, Z, T ) }.
% 17.33/17.71 (54511) {G0,W22,D3,L4,V5,M4} { ! cyclic( X, Y, Z, T ), ! para( X, Y, Z, T
% 17.33/17.71 ), ! midp( U, X, Y ), circle( skol14( X, Y, Z ), X, Y, Z ) }.
% 17.33/17.71 (54512) {G0,W18,D3,L3,V4,M3} { ! perp( X, Z, Z, Y ), ! cyclic( X, Y, Z, T
% 17.33/17.71 ), circle( skol15( X, Y, Z ), X, Y, Z ) }.
% 17.33/17.71 (54513) {G0,W16,D3,L3,V6,M3} { ! perp( X, U, U, T ), ! coll( T, Y, Z ),
% 17.33/17.71 coll( skol16( W, Y, Z ), Y, Z ) }.
% 17.33/17.71 (54514) {G0,W17,D3,L3,V5,M3} { ! perp( X, U, U, T ), ! coll( T, Y, Z ),
% 17.33/17.71 perp( skol16( X, Y, Z ), X, Y, Z ) }.
% 17.33/17.71 (54515) {G0,W20,D3,L4,V5,M4} { ! perp( X, Z, X, Y ), ! perp( Y, X, Y, T )
% 17.33/17.71 , ! midp( U, Z, T ), midp( skol17( X, Y ), X, Y ) }.
% 17.33/17.71 (54516) {G0,W16,D3,L3,V3,M3} { ! cong( Y, X, Y, Z ), ! perp( X, Y, Y, Z )
% 17.33/17.71 , coll( X, Y, skol18( X, Y ) ) }.
% 17.33/17.71 (54517) {G0,W17,D3,L3,V3,M3} { ! cong( Y, X, Y, Z ), ! perp( X, Y, Y, Z )
% 17.33/17.71 , cong( Y, X, Y, skol18( X, Y ) ) }.
% 17.33/17.71 (54518) {G0,W25,D3,L5,V8,M5} { ! para( U, W, X, Y ), ! coll( Z, U, X ), !
% 17.33/17.71 coll( Z, W, Y ), ! coll( T, U, W ), coll( Z, T, skol19( V0, V1, Z, T ) )
% 17.33/17.71 }.
% 17.33/17.71 (54519) {G0,W25,D3,L5,V6,M5} { ! para( U, W, X, Y ), ! coll( Z, U, X ), !
% 17.33/17.71 coll( Z, W, Y ), ! coll( T, U, W ), coll( skol19( X, Y, Z, T ), X, Y )
% 17.33/17.71 }.
% 17.33/17.71 (54520) {G0,W5,D2,L1,V0,M1} { circle( skol25, skol26, skol27, skol28 ) }.
% 17.33/17.71 (54521) {G0,W5,D2,L1,V0,M1} { circle( skol29, skol26, skol30, skol31 ) }.
% 17.33/17.71 (54522) {G0,W5,D2,L1,V0,M1} { circle( skol25, skol26, skol32, skol33 ) }.
% 17.33/17.71 (54523) {G0,W5,D2,L1,V0,M1} { circle( skol29, skol26, skol32, skol34 ) }.
% 17.33/17.71 (54524) {G0,W5,D2,L1,V0,M1} { circle( skol29, skol26, skol20, skol35 ) }.
% 17.33/17.71 (54525) {G0,W4,D2,L1,V0,M1} { coll( skol32, skol20, skol22 ) }.
% 17.33/17.71 (54526) {G0,W5,D2,L1,V0,M1} { circle( skol25, skol32, skol22, skol36 ) }.
% 17.33/17.71 (54527) {G0,W4,D2,L1,V0,M1} { coll( skol26, skol20, skol23 ) }.
% 17.33/17.71 (54528) {G0,W5,D2,L1,V0,M1} { circle( skol25, skol26, skol23, skol37 ) }.
% 17.33/17.71 (54529) {G0,W5,D2,L1,V0,M1} { perp( skol29, skol20, skol20, skol24 ) }.
% 17.33/17.71 (54530) {G0,W5,D2,L1,V0,M1} { ! para( skol24, skol20, skol23, skol22 ) }.
% 17.33/17.71
% 17.33/17.71
% 17.33/17.71 Total Proof:
% 17.33/17.71
% 17.33/17.71 subsumption: (0) {G0,W8,D2,L2,V3,M2} I { ! coll( X, Y, Z ), coll( X, Z, Y )
% 17.33/17.71 }.
% 17.33/17.71 parent0: (54403) {G0,W8,D2,L2,V3,M2} { ! coll( X, Y, Z ), coll( X, Z, Y )
% 17.33/17.71 }.
% 17.33/17.71 substitution0:
% 17.33/17.71 X := X
% 17.33/17.71 Y := Y
% 17.33/17.71 Z := Z
% 17.33/17.71 end
% 17.33/17.71 permutation0:
% 17.33/17.71 0 ==> 0
% 17.33/17.71 1 ==> 1
% 17.33/17.71 end
% 17.33/17.71
% 17.33/17.71 subsumption: (1) {G0,W8,D2,L2,V3,M2} I { ! coll( X, Y, Z ), coll( Y, X, Z )
% 17.33/17.71 }.
% 17.33/17.71 parent0: (54404) {G0,W8,D2,L2,V3,M2} { ! coll( X, Y, Z ), coll( Y, X, Z )
% 17.33/17.71 }.
% 17.33/17.71 substitution0:
% 17.33/17.71 X := X
% 17.33/17.71 Y := Y
% 17.33/17.71 Z := Z
% 17.33/17.71 end
% 17.33/17.71 permutation0:
% 17.33/17.71 0 ==> 0
% 17.33/17.71 1 ==> 1
% 17.33/17.71 end
% 17.33/17.71
% 17.33/17.71 subsumption: (2) {G0,W12,D2,L3,V4,M3} I { ! coll( X, T, Y ), ! coll( X, T,
% 17.33/17.71 Z ), coll( Y, Z, X ) }.
% 17.33/17.71 parent0: (54405) {G0,W12,D2,L3,V4,M3} { ! coll( X, T, Y ), ! coll( X, T, Z
% 17.33/17.71 ), coll( Y, Z, X ) }.
% 17.33/17.71 substitution0:
% 17.33/17.71 X := X
% 17.33/17.71 Y := Y
% 17.33/17.71 Z := Z
% 17.33/17.71 T := T
% 17.33/17.71 end
% 17.33/17.71 permutation0:
% 17.33/17.71 0 ==> 0
% 17.33/17.71 1 ==> 1
% 17.33/17.71 2 ==> 2
% 17.33/17.71 end
% 17.33/17.71
% 17.33/17.71 subsumption: (4) {G0,W10,D2,L2,V4,M2} I { ! para( X, Y, Z, T ), para( Z, T
% 17.33/17.71 , X, Y ) }.
% 17.33/17.71 parent0: (54407) {G0,W10,D2,L2,V4,M2} { ! para( X, Y, Z, T ), para( Z, T,
% 17.33/17.71 X, Y ) }.
% 17.33/17.71 substitution0:
% 17.33/17.71 X := X
% 17.33/17.71 Y := Y
% 17.33/17.71 Z := Z
% 17.33/17.71 T := T
% 17.33/17.71 end
% 17.33/17.71 permutation0:
% 17.33/17.71 0 ==> 0
% 17.33/17.71 1 ==> 1
% 17.33/17.71 end
% 17.33/17.71
% 17.33/17.71 subsumption: (5) {G0,W15,D2,L3,V6,M3} I { ! para( X, Y, U, W ), ! para( U,
% 17.33/17.71 W, Z, T ), para( X, Y, Z, T ) }.
% 17.33/17.71 parent0: (54408) {G0,W15,D2,L3,V6,M3} { ! para( X, Y, U, W ), ! para( U, W
% 17.33/17.71 , Z, T ), para( X, Y, Z, T ) }.
% 17.33/17.71 substitution0:
% 17.33/17.71 X := X
% 17.33/17.71 Y := Y
% 17.33/17.71 Z := Z
% 17.33/17.71 T := T
% 17.33/17.71 U := U
% 17.33/17.71 W := W
% 17.33/17.71 end
% 17.33/17.71 permutation0:
% 17.33/17.71 0 ==> 0
% 17.33/17.71 1 ==> 1
% 17.33/17.71 2 ==> 2
% 17.33/17.71 end
% 17.33/17.71
% 17.33/17.71 subsumption: (6) {G0,W10,D2,L2,V4,M2} I { ! perp( X, Y, Z, T ), perp( X, Y
% 17.33/17.71 , T, Z ) }.
% 17.33/17.71 parent0: (54409) {G0,W10,D2,L2,V4,M2} { ! perp( X, Y, Z, T ), perp( X, Y,
% 17.33/17.71 T, Z ) }.
% 17.33/17.71 substitution0:
% 17.33/17.71 X := X
% 17.33/17.71 Y := Y
% 17.33/17.71 Z := Z
% 17.33/17.71 T := T
% 17.33/17.71 end
% 17.33/17.71 permutation0:
% 17.33/17.71 0 ==> 0
% 17.33/17.71 1 ==> 1
% 17.33/17.71 end
% 17.33/17.71
% 17.33/17.71 subsumption: (7) {G0,W10,D2,L2,V4,M2} I { ! perp( X, Y, Z, T ), perp( Z, T
% 17.33/17.71 , X, Y ) }.
% 17.33/17.71 parent0: (54410) {G0,W10,D2,L2,V4,M2} { ! perp( X, Y, Z, T ), perp( Z, T,
% 17.33/17.71 X, Y ) }.
% 17.33/17.71 substitution0:
% 17.33/17.71 X := X
% 17.33/17.71 Y := Y
% 17.33/17.71 Z := Z
% 17.33/17.71 T := T
% 17.33/17.71 end
% 17.33/17.71 permutation0:
% 17.33/17.71 0 ==> 0
% 17.33/17.71 1 ==> 1
% 17.33/17.71 end
% 17.33/17.71
% 17.33/17.71 subsumption: (8) {G0,W15,D2,L3,V6,M3} I { ! perp( X, Y, U, W ), ! perp( U,
% 17.33/17.71 W, Z, T ), para( X, Y, Z, T ) }.
% 17.33/17.71 parent0: (54411) {G0,W15,D2,L3,V6,M3} { ! perp( X, Y, U, W ), ! perp( U, W
% 17.33/17.71 , Z, T ), para( X, Y, Z, T ) }.
% 17.33/17.71 substitution0:
% 17.33/17.71 X := X
% 17.33/17.71 Y := Y
% 17.33/17.71 Z := Z
% 17.33/17.71 T := T
% 17.33/17.71 U := U
% 17.33/17.71 W := W
% 17.33/17.71 end
% 17.33/17.71 permutation0:
% 17.33/17.71 0 ==> 0
% 17.33/17.71 1 ==> 1
% 17.33/17.71 2 ==> 2
% 17.33/17.71 end
% 17.33/17.71
% 17.33/17.71 subsumption: (13) {G0,W10,D2,L2,V4,M2} I { ! cyclic( X, Y, Z, T ), cyclic(
% 17.33/17.71 X, Y, T, Z ) }.
% 17.33/17.71 parent0: (54416) {G0,W10,D2,L2,V4,M2} { ! cyclic( X, Y, Z, T ), cyclic( X
% 17.33/17.71 , Y, T, Z ) }.
% 17.33/17.71 substitution0:
% 17.33/17.71 X := X
% 17.33/17.71 Y := Y
% 17.33/17.71 Z := Z
% 17.33/17.71 T := T
% 17.33/17.71 end
% 17.33/17.71 permutation0:
% 17.33/17.71 0 ==> 0
% 17.33/17.71 1 ==> 1
% 17.33/17.71 end
% 17.33/17.71
% 17.33/17.71 subsumption: (14) {G0,W10,D2,L2,V4,M2} I { ! cyclic( X, Y, Z, T ), cyclic(
% 17.33/17.71 X, Z, Y, T ) }.
% 17.33/17.71 parent0: (54417) {G0,W10,D2,L2,V4,M2} { ! cyclic( X, Y, Z, T ), cyclic( X
% 17.33/17.71 , Z, Y, T ) }.
% 17.33/17.71 substitution0:
% 17.33/17.71 X := X
% 17.33/17.71 Y := Y
% 17.33/17.71 Z := Z
% 17.33/17.71 T := T
% 17.33/17.71 end
% 17.33/17.71 permutation0:
% 17.33/17.71 0 ==> 0
% 17.33/17.71 1 ==> 1
% 17.33/17.71 end
% 17.33/17.71
% 17.33/17.71 subsumption: (15) {G0,W10,D2,L2,V4,M2} I { ! cyclic( X, Y, Z, T ), cyclic(
% 17.33/17.71 Y, X, Z, T ) }.
% 17.33/17.71 parent0: (54418) {G0,W10,D2,L2,V4,M2} { ! cyclic( X, Y, Z, T ), cyclic( Y
% 17.33/17.71 , X, Z, T ) }.
% 17.33/17.71 substitution0:
% 17.33/17.71 X := X
% 17.33/17.71 Y := Y
% 17.33/17.71 Z := Z
% 17.33/17.71 T := T
% 17.33/17.71 end
% 17.33/17.71 permutation0:
% 17.33/17.71 0 ==> 0
% 17.33/17.71 1 ==> 1
% 17.33/17.71 end
% 17.33/17.71
% 17.33/17.71 subsumption: (16) {G0,W15,D2,L3,V5,M3} I { ! cyclic( U, X, Y, Z ), ! cyclic
% 17.33/17.71 ( U, X, Y, T ), cyclic( X, Y, Z, T ) }.
% 17.33/17.71 parent0: (54419) {G0,W15,D2,L3,V5,M3} { ! cyclic( U, X, Y, Z ), ! cyclic(
% 17.33/17.71 U, X, Y, T ), cyclic( X, Y, Z, T ) }.
% 17.33/17.71 substitution0:
% 17.33/17.71 X := X
% 17.33/17.71 Y := Y
% 17.33/17.71 Z := Z
% 17.33/17.71 T := T
% 17.33/17.71 U := U
% 17.33/17.71 end
% 17.33/17.71 permutation0:
% 17.33/17.71 0 ==> 0
% 17.33/17.71 1 ==> 1
% 17.33/17.71 2 ==> 2
% 17.33/17.71 end
% 17.33/17.71
% 17.33/17.71 subsumption: (18) {G0,W18,D2,L2,V8,M2} I { ! eqangle( X, Y, Z, T, U, W, V0
% 17.33/17.71 , V1 ), eqangle( Z, T, X, Y, V0, V1, U, W ) }.
% 17.33/17.71 parent0: (54421) {G0,W18,D2,L2,V8,M2} { ! eqangle( X, Y, Z, T, U, W, V0,
% 17.33/17.71 V1 ), eqangle( Z, T, X, Y, V0, V1, U, W ) }.
% 17.33/17.71 substitution0:
% 17.33/17.71 X := X
% 17.33/17.71 Y := Y
% 17.33/17.71 Z := Z
% 17.33/17.71 T := T
% 17.33/17.71 U := U
% 17.33/17.71 W := W
% 17.33/17.71 V0 := V0
% 17.33/17.71 V1 := V1
% 17.33/17.71 end
% 17.33/17.71 permutation0:
% 17.33/17.71 0 ==> 0
% 17.33/17.71 1 ==> 1
% 17.33/17.71 end
% 17.33/17.71
% 17.33/17.71 subsumption: (19) {G0,W18,D2,L2,V8,M2} I { ! eqangle( X, Y, Z, T, U, W, V0
% 17.33/17.71 , V1 ), eqangle( U, W, V0, V1, X, Y, Z, T ) }.
% 17.33/17.71 parent0: (54422) {G0,W18,D2,L2,V8,M2} { ! eqangle( X, Y, Z, T, U, W, V0,
% 17.33/17.71 V1 ), eqangle( U, W, V0, V1, X, Y, Z, T ) }.
% 17.33/17.71 substitution0:
% 17.33/17.71 X := X
% 17.33/17.71 Y := Y
% 17.33/17.71 Z := Z
% 17.33/17.71 T := T
% 17.33/17.71 U := U
% 17.33/17.71 W := W
% 17.33/17.71 V0 := V0
% 17.33/17.71 V1 := V1
% 17.33/17.71 end
% 17.33/17.71 permutation0:
% 17.33/17.71 0 ==> 0
% 17.33/17.71 1 ==> 1
% 17.33/17.71 end
% 17.33/17.71
% 17.33/17.71 subsumption: (39) {G0,W14,D2,L2,V6,M2} I { ! para( X, Y, Z, T ), eqangle( X
% 17.33/17.71 , Y, U, W, Z, T, U, W ) }.
% 17.33/17.71 parent0: (54442) {G0,W14,D2,L2,V6,M2} { ! para( X, Y, Z, T ), eqangle( X,
% 17.33/17.71 Y, U, W, Z, T, U, W ) }.
% 17.33/17.71 substitution0:
% 17.33/17.71 X := X
% 17.33/17.71 Y := Y
% 17.33/17.71 Z := Z
% 17.33/17.71 T := T
% 17.33/17.71 U := U
% 17.33/17.71 W := W
% 17.33/17.71 end
% 17.33/17.71 permutation0:
% 17.33/17.71 0 ==> 0
% 17.33/17.71 1 ==> 1
% 17.33/17.71 end
% 17.33/17.71
% 17.33/17.71 subsumption: (40) {G0,W14,D2,L2,V4,M2} I { ! cyclic( X, Y, Z, T ), eqangle
% 17.33/17.71 ( Z, X, Z, Y, T, X, T, Y ) }.
% 17.33/17.71 parent0: (54443) {G0,W14,D2,L2,V4,M2} { ! cyclic( X, Y, Z, T ), eqangle( Z
% 17.33/17.71 , X, Z, Y, T, X, T, Y ) }.
% 17.33/17.71 substitution0:
% 17.33/17.71 X := X
% 17.33/17.71 Y := Y
% 17.33/17.71 Z := Z
% 17.33/17.71 T := T
% 17.33/17.71 end
% 17.33/17.71 permutation0:
% 17.33/17.71 0 ==> 0
% 17.33/17.71 1 ==> 1
% 17.33/17.71 end
% 17.33/17.71
% 17.33/17.71 subsumption: (42) {G0,W18,D2,L3,V4,M3} I { ! eqangle( Z, X, Z, Y, T, X, T,
% 17.33/17.71 Y ), ! coll( Z, T, Y ), cyclic( X, Y, Z, T ) }.
% 17.33/17.71 parent0: (54445) {G0,W18,D2,L3,V4,M3} { ! eqangle( Z, X, Z, Y, T, X, T, Y
% 17.33/17.71 ), ! coll( Z, T, Y ), cyclic( X, Y, Z, T ) }.
% 17.33/17.71 substitution0:
% 17.33/17.71 X := X
% 17.33/17.71 Y := Y
% 17.33/17.71 Z := Z
% 17.33/17.71 T := T
% 17.33/17.71 end
% 17.33/17.71 permutation0:
% 17.33/17.71 0 ==> 0
% 17.33/17.71 1 ==> 1
% 17.33/17.71 2 ==> 2
% 17.33/17.71 end
% 17.33/17.71
% 17.33/17.71 subsumption: (43) {G0,W29,D2,L5,V6,M5} I { ! cyclic( X, Y, U, Z ), ! cyclic
% 17.33/17.71 ( X, Y, U, T ), ! cyclic( X, Y, U, W ), ! eqangle( U, X, U, Y, W, Z, W, T
% 17.33/17.71 ), cong( X, Y, Z, T ) }.
% 17.33/17.71 parent0: (54446) {G0,W29,D2,L5,V6,M5} { ! cyclic( X, Y, U, Z ), ! cyclic(
% 17.33/17.71 X, Y, U, T ), ! cyclic( X, Y, U, W ), ! eqangle( U, X, U, Y, W, Z, W, T )
% 17.33/17.71 , cong( X, Y, Z, T ) }.
% 17.33/17.71 substitution0:
% 17.33/17.71 X := X
% 17.33/17.71 Y := Y
% 17.33/17.71 Z := Z
% 17.33/17.71 T := T
% 17.33/17.71 U := U
% 17.33/17.71 W := W
% 17.33/17.71 end
% 17.33/17.71 permutation0:
% 17.33/17.71 0 ==> 0
% 17.33/17.71 1 ==> 1
% 17.33/17.71 2 ==> 2
% 17.33/17.71 3 ==> 3
% 17.33/17.71 4 ==> 4
% 17.33/17.71 end
% 17.33/17.71
% 17.33/17.71 subsumption: (56) {G0,W15,D2,L3,V4,M3} I { ! cong( X, Z, Y, Z ), ! cong( X
% 17.33/17.71 , T, Y, T ), perp( X, Y, Z, T ) }.
% 17.33/17.71 parent0: (54459) {G0,W15,D2,L3,V4,M3} { ! cong( X, Z, Y, Z ), ! cong( X, T
% 17.33/17.71 , Y, T ), perp( X, Y, Z, T ) }.
% 17.33/17.71 substitution0:
% 17.33/17.71 X := X
% 17.33/17.71 Y := Y
% 17.33/17.71 Z := Z
% 17.33/17.71 T := T
% 17.33/17.71 end
% 17.33/17.71 permutation0:
% 17.33/17.71 0 ==> 0
% 17.33/17.71 1 ==> 1
% 17.33/17.71 2 ==> 2
% 17.33/17.71 end
% 17.33/17.71
% 17.33/17.71 subsumption: (96) {G0,W14,D2,L3,V4,M3} I { ! perp( X, T, Y, Z ), ! perp( Y
% 17.33/17.71 , T, X, Z ), alpha1( X, Y, Z ) }.
% 17.33/17.71 parent0: (54500) {G0,W14,D2,L3,V4,M3} { ! perp( X, T, Y, Z ), ! perp( Y, T
% 17.33/17.71 , X, Z ), alpha1( X, Y, Z ) }.
% 17.33/17.71 substitution0:
% 17.33/17.71 X := X
% 17.33/17.71 Y := Y
% 17.33/17.71 Z := Z
% 17.33/17.71 T := T
% 17.33/17.71 end
% 17.33/17.71 permutation0:
% 17.33/17.71 0 ==> 0
% 17.33/17.71 1 ==> 1
% 17.33/17.71 2 ==> 2
% 17.33/17.71 end
% 17.33/17.71
% 17.33/17.71 subsumption: (97) {G0,W11,D3,L2,V4,M2} I { ! alpha1( X, Y, Z ), coll(
% 17.33/17.71 skol11( X, T, Z ), Z, X ) }.
% 17.33/17.71 parent0: (54501) {G0,W11,D3,L2,V4,M2} { ! alpha1( X, Y, Z ), coll( skol11
% 17.33/17.71 ( X, T, Z ), Z, X ) }.
% 17.33/17.71 substitution0:
% 17.33/17.71 X := X
% 17.33/17.71 Y := Y
% 17.33/17.71 Z := Z
% 17.33/17.71 T := T
% 17.33/17.71 end
% 17.33/17.71 permutation0:
% 17.33/17.71 0 ==> 0
% 17.33/17.71 1 ==> 1
% 17.33/17.71 end
% 17.33/17.71
% 17.33/17.71 subsumption: (100) {G0,W12,D3,L2,V4,M2} I { ! circle( Y, X, Z, T ), perp(
% 17.33/17.71 skol12( X, Y ), X, X, Y ) }.
% 17.33/17.71 parent0: (54504) {G0,W12,D3,L2,V4,M2} { ! circle( Y, X, Z, T ), perp(
% 17.33/17.71 skol12( X, Y ), X, X, Y ) }.
% 17.33/17.71 substitution0:
% 17.33/17.71 X := X
% 17.33/17.71 Y := Y
% 17.33/17.71 Z := Z
% 17.33/17.71 T := T
% 17.33/17.71 end
% 17.33/17.71 permutation0:
% 17.33/17.71 0 ==> 0
% 17.33/17.71 1 ==> 1
% 17.33/17.71 end
% 17.33/17.71
% 17.33/17.71 subsumption: (122) {G0,W5,D2,L1,V0,M1} I { circle( skol25, skol32, skol22,
% 17.33/17.71 skol36 ) }.
% 17.33/17.71 parent0: (54526) {G0,W5,D2,L1,V0,M1} { circle( skol25, skol32, skol22,
% 17.33/17.71 skol36 ) }.
% 17.33/17.71 substitution0:
% 17.33/17.71 end
% 17.33/17.71 permutation0:
% 17.33/17.71 0 ==> 0
% 17.33/17.71 end
% 17.33/17.71
% 17.33/17.71 subsumption: (126) {G0,W5,D2,L1,V0,M1} I { ! para( skol24, skol20, skol23,
% 17.33/17.71 skol22 ) }.
% 17.33/17.71 parent0: (54530) {G0,W5,D2,L1,V0,M1} { ! para( skol24, skol20, skol23,
% 17.33/17.71 skol22 ) }.
% 17.33/17.71 substitution0:
% 17.33/17.71 end
% 17.33/17.71 permutation0:
% 17.33/17.71 0 ==> 0
% 17.33/17.71 end
% 17.33/17.71
% 17.33/17.71 factor: (54888) {G0,W9,D2,L2,V3,M2} { ! perp( X, Y, X, Z ), alpha1( X, X,
% 17.33/17.71 Z ) }.
% 17.33/17.71 parent0[0, 1]: (96) {G0,W14,D2,L3,V4,M3} I { ! perp( X, T, Y, Z ), ! perp(
% 17.33/17.71 Y, T, X, Z ), alpha1( X, Y, Z ) }.
% 17.33/17.71 substitution0:
% 17.33/17.71 X := X
% 17.33/17.71 Y := X
% 17.33/17.71 Z := Z
% 17.33/17.71 T := Y
% 17.33/17.71 end
% 17.33/17.71
% 17.33/17.71 subsumption: (156) {G1,W9,D2,L2,V3,M2} F(96) { ! perp( X, Y, X, Z ), alpha1
% 17.33/17.71 ( X, X, Z ) }.
% 17.33/17.71 parent0: (54888) {G0,W9,D2,L2,V3,M2} { ! perp( X, Y, X, Z ), alpha1( X, X
% 17.33/17.71 , Z ) }.
% 17.33/17.71 substitution0:
% 17.33/17.71 X := X
% 17.33/17.71 Y := Y
% 17.33/17.71 Z := Z
% 17.33/17.71 end
% 17.33/17.71 permutation0:
% 17.33/17.71 0 ==> 0
% 17.33/17.71 1 ==> 1
% 17.33/17.71 end
% 17.33/17.71
% 17.33/17.71 resolution: (54892) {G1,W12,D2,L3,V4,M3} { coll( X, Z, Y ), ! coll( Z, T,
% 17.33/17.71 X ), ! coll( Z, T, Y ) }.
% 17.33/17.71 parent0[0]: (0) {G0,W8,D2,L2,V3,M2} I { ! coll( X, Y, Z ), coll( X, Z, Y )
% 17.33/17.71 }.
% 17.33/17.71 parent1[2]: (2) {G0,W12,D2,L3,V4,M3} I { ! coll( X, T, Y ), ! coll( X, T, Z
% 17.33/17.71 ), coll( Y, Z, X ) }.
% 17.33/17.71 substitution0:
% 17.33/17.71 X := X
% 17.33/17.71 Y := Y
% 17.33/17.71 Z := Z
% 17.33/17.71 end
% 17.33/17.71 substitution1:
% 17.33/17.71 X := Z
% 17.33/17.71 Y := X
% 17.33/17.71 Z := Y
% 17.33/17.71 T := T
% 17.33/17.71 end
% 17.33/17.71
% 17.33/17.71 subsumption: (193) {G1,W12,D2,L3,V4,M3} R(2,0) { ! coll( X, Y, Z ), ! coll
% 17.33/17.71 ( X, Y, T ), coll( Z, X, T ) }.
% 17.33/17.71 parent0: (54892) {G1,W12,D2,L3,V4,M3} { coll( X, Z, Y ), ! coll( Z, T, X )
% 17.33/17.71 , ! coll( Z, T, Y ) }.
% 17.33/17.71 substitution0:
% 17.33/17.71 X := Z
% 17.33/17.71 Y := T
% 17.33/17.71 Z := X
% 17.33/17.71 T := Y
% 17.33/17.71 end
% 17.33/17.71 permutation0:
% 17.33/17.71 0 ==> 2
% 17.33/17.71 1 ==> 0
% 17.33/17.71 2 ==> 1
% 17.33/17.71 end
% 17.33/17.71
% 17.33/17.71 factor: (54894) {G1,W8,D2,L2,V3,M2} { ! coll( X, Y, Z ), coll( Z, X, Z )
% 17.33/17.71 }.
% 17.33/17.71 parent0[0, 1]: (193) {G1,W12,D2,L3,V4,M3} R(2,0) { ! coll( X, Y, Z ), !
% 17.33/17.71 coll( X, Y, T ), coll( Z, X, T ) }.
% 17.33/17.71 substitution0:
% 17.33/17.71 X := X
% 17.33/17.71 Y := Y
% 17.33/17.71 Z := Z
% 17.33/17.71 T := Z
% 17.33/17.71 end
% 17.33/17.71
% 17.33/17.71 subsumption: (198) {G2,W8,D2,L2,V3,M2} F(193) { ! coll( X, Y, Z ), coll( Z
% 17.33/17.71 , X, Z ) }.
% 17.33/17.71 parent0: (54894) {G1,W8,D2,L2,V3,M2} { ! coll( X, Y, Z ), coll( Z, X, Z )
% 17.33/17.71 }.
% 17.33/17.71 substitution0:
% 17.33/17.71 X := X
% 17.33/17.71 Y := Y
% 17.33/17.71 Z := Z
% 17.33/17.71 end
% 17.33/17.71 permutation0:
% 17.33/17.71 0 ==> 0
% 17.33/17.71 1 ==> 1
% 17.33/17.71 end
% 17.33/17.71
% 17.33/17.71 resolution: (54895) {G1,W5,D2,L1,V0,M1} { ! para( skol23, skol22, skol24,
% 17.33/17.71 skol20 ) }.
% 17.33/17.71 parent0[0]: (126) {G0,W5,D2,L1,V0,M1} I { ! para( skol24, skol20, skol23,
% 17.33/17.71 skol22 ) }.
% 17.33/17.71 parent1[1]: (4) {G0,W10,D2,L2,V4,M2} I { ! para( X, Y, Z, T ), para( Z, T,
% 17.33/17.71 X, Y ) }.
% 17.33/17.71 substitution0:
% 17.33/17.71 end
% 17.33/17.71 substitution1:
% 17.33/17.71 X := skol23
% 17.33/17.71 Y := skol22
% 17.33/17.71 Z := skol24
% 17.33/17.71 T := skol20
% 17.33/17.71 end
% 17.33/17.71
% 17.33/17.71 subsumption: (214) {G1,W5,D2,L1,V0,M1} R(4,126) { ! para( skol23, skol22,
% 17.33/17.71 skol24, skol20 ) }.
% 17.33/17.71 parent0: (54895) {G1,W5,D2,L1,V0,M1} { ! para( skol23, skol22, skol24,
% 17.33/17.71 skol20 ) }.
% 17.33/17.71 substitution0:
% 17.33/17.71 end
% 17.33/17.71 permutation0:
% 17.33/17.71 0 ==> 0
% 17.33/17.71 end
% 17.33/17.71
% 17.33/17.71 resolution: (54896) {G1,W10,D2,L2,V2,M2} { ! para( skol23, skol22, X, Y )
% 17.33/17.71 , ! para( X, Y, skol24, skol20 ) }.
% 17.33/17.71 parent0[0]: (214) {G1,W5,D2,L1,V0,M1} R(4,126) { ! para( skol23, skol22,
% 17.33/17.71 skol24, skol20 ) }.
% 17.33/17.71 parent1[2]: (5) {G0,W15,D2,L3,V6,M3} I { ! para( X, Y, U, W ), ! para( U, W
% 17.33/17.71 , Z, T ), para( X, Y, Z, T ) }.
% 17.33/17.71 substitution0:
% 17.33/17.71 end
% 17.33/17.71 substitution1:
% 17.33/17.71 X := skol23
% 17.33/17.71 Y := skol22
% 17.33/17.71 Z := skol24
% 17.33/17.71 T := skol20
% 17.33/17.71 U := X
% 17.33/17.71 W := Y
% 17.33/17.71 end
% 17.33/17.71
% 17.33/17.71 subsumption: (234) {G2,W10,D2,L2,V2,M2} R(214,5) { ! para( skol23, skol22,
% 17.33/17.71 X, Y ), ! para( X, Y, skol24, skol20 ) }.
% 17.33/17.71 parent0: (54896) {G1,W10,D2,L2,V2,M2} { ! para( skol23, skol22, X, Y ), !
% 17.33/17.71 para( X, Y, skol24, skol20 ) }.
% 17.33/17.71 substitution0:
% 17.33/17.71 X := X
% 17.33/17.71 Y := Y
% 17.33/17.71 end
% 17.33/17.71 permutation0:
% 17.33/17.71 0 ==> 0
% 17.33/17.71 1 ==> 1
% 17.33/17.71 end
% 17.33/17.71
% 17.33/17.71 resolution: (54897) {G1,W12,D2,L3,V4,M3} { coll( Z, X, Z ), ! coll( Z, T,
% 17.33/17.71 X ), ! coll( Z, T, Y ) }.
% 17.33/17.71 parent0[0]: (198) {G2,W8,D2,L2,V3,M2} F(193) { ! coll( X, Y, Z ), coll( Z,
% 17.33/17.71 X, Z ) }.
% 17.33/17.71 parent1[2]: (2) {G0,W12,D2,L3,V4,M3} I { ! coll( X, T, Y ), ! coll( X, T, Z
% 17.33/17.71 ), coll( Y, Z, X ) }.
% 17.33/17.71 substitution0:
% 17.33/17.71 X := X
% 17.33/17.71 Y := Y
% 17.33/17.71 Z := Z
% 17.33/17.71 end
% 17.33/17.71 substitution1:
% 17.33/17.71 X := Z
% 17.33/17.71 Y := X
% 17.33/17.72 Z := Y
% 17.33/17.72 T := T
% 17.33/17.72 end
% 17.33/17.72
% 17.33/17.72 subsumption: (240) {G3,W12,D2,L3,V4,M3} R(198,2) { coll( X, Y, X ), ! coll
% 17.33/17.72 ( X, Z, Y ), ! coll( X, Z, T ) }.
% 17.33/17.72 parent0: (54897) {G1,W12,D2,L3,V4,M3} { coll( Z, X, Z ), ! coll( Z, T, X )
% 17.33/17.72 , ! coll( Z, T, Y ) }.
% 17.33/17.72 substitution0:
% 17.33/17.72 X := Y
% 17.33/17.72 Y := Y
% 17.33/17.72 Z := X
% 17.33/17.72 T := Z
% 17.33/17.72 end
% 17.33/17.72 permutation0:
% 17.33/17.72 0 ==> 0
% 17.33/17.72 1 ==> 1
% 17.33/17.72 2 ==> 1
% 17.33/17.72 end
% 17.33/17.72
% 17.33/17.72 factor: (54899) {G3,W8,D2,L2,V3,M2} { coll( X, Y, X ), ! coll( X, Z, Y )
% 17.33/17.72 }.
% 17.33/17.72 parent0[1, 2]: (240) {G3,W12,D2,L3,V4,M3} R(198,2) { coll( X, Y, X ), !
% 17.33/17.72 coll( X, Z, Y ), ! coll( X, Z, T ) }.
% 17.33/17.72 substitution0:
% 17.33/17.72 X := X
% 17.33/17.72 Y := Y
% 17.33/17.72 Z := Z
% 17.33/17.72 T := Y
% 17.33/17.72 end
% 17.33/17.72
% 17.33/17.72 subsumption: (253) {G4,W8,D2,L2,V3,M2} F(240) { coll( X, Y, X ), ! coll( X
% 17.33/17.72 , Z, Y ) }.
% 17.33/17.72 parent0: (54899) {G3,W8,D2,L2,V3,M2} { coll( X, Y, X ), ! coll( X, Z, Y )
% 17.33/17.72 }.
% 17.33/17.72 substitution0:
% 17.33/17.72 X := X
% 17.33/17.72 Y := Y
% 17.33/17.72 Z := Z
% 17.33/17.72 end
% 17.33/17.72 permutation0:
% 17.33/17.72 0 ==> 0
% 17.33/17.72 1 ==> 1
% 17.33/17.72 end
% 17.33/17.72
% 17.33/17.72 resolution: (54900) {G1,W15,D2,L3,V6,M3} { ! perp( Z, T, U, W ), para( X,
% 17.33/17.72 Y, U, W ), ! perp( Z, T, X, Y ) }.
% 17.33/17.72 parent0[0]: (8) {G0,W15,D2,L3,V6,M3} I { ! perp( X, Y, U, W ), ! perp( U, W
% 17.33/17.72 , Z, T ), para( X, Y, Z, T ) }.
% 17.33/17.72 parent1[1]: (7) {G0,W10,D2,L2,V4,M2} I { ! perp( X, Y, Z, T ), perp( Z, T,
% 17.33/17.72 X, Y ) }.
% 17.33/17.72 substitution0:
% 17.33/17.72 X := X
% 17.33/17.72 Y := Y
% 17.33/17.72 Z := U
% 17.33/17.72 T := W
% 17.33/17.72 U := Z
% 17.33/17.72 W := T
% 17.33/17.72 end
% 17.33/17.72 substitution1:
% 17.33/17.72 X := Z
% 17.33/17.72 Y := T
% 17.33/17.72 Z := X
% 17.33/17.72 T := Y
% 17.33/17.72 end
% 17.33/17.72
% 17.33/17.72 subsumption: (272) {G1,W15,D2,L3,V6,M3} R(8,7) { ! perp( X, Y, Z, T ), para
% 17.33/17.72 ( U, W, Z, T ), ! perp( X, Y, U, W ) }.
% 17.33/17.72 parent0: (54900) {G1,W15,D2,L3,V6,M3} { ! perp( Z, T, U, W ), para( X, Y,
% 17.33/17.72 U, W ), ! perp( Z, T, X, Y ) }.
% 17.33/17.72 substitution0:
% 17.33/17.72 X := U
% 17.33/17.72 Y := W
% 17.33/17.72 Z := X
% 17.33/17.72 T := Y
% 17.33/17.72 U := Z
% 17.33/17.72 W := T
% 17.33/17.72 end
% 17.33/17.72 permutation0:
% 17.33/17.72 0 ==> 0
% 17.33/17.72 1 ==> 1
% 17.33/17.72 2 ==> 2
% 17.33/17.72 end
% 17.33/17.72
% 17.33/17.72 resolution: (54905) {G1,W15,D2,L3,V6,M3} { ! perp( X, Y, Z, T ), para( X,
% 17.33/17.72 Y, U, W ), ! perp( U, W, Z, T ) }.
% 17.33/17.72 parent0[1]: (8) {G0,W15,D2,L3,V6,M3} I { ! perp( X, Y, U, W ), ! perp( U, W
% 17.33/17.72 , Z, T ), para( X, Y, Z, T ) }.
% 17.33/17.72 parent1[1]: (7) {G0,W10,D2,L2,V4,M2} I { ! perp( X, Y, Z, T ), perp( Z, T,
% 17.33/17.72 X, Y ) }.
% 17.33/17.72 substitution0:
% 17.33/17.72 X := X
% 17.33/17.72 Y := Y
% 17.33/17.72 Z := U
% 17.33/17.72 T := W
% 17.33/17.72 U := Z
% 17.33/17.72 W := T
% 17.33/17.72 end
% 17.33/17.72 substitution1:
% 17.33/17.72 X := U
% 17.33/17.72 Y := W
% 17.33/17.72 Z := Z
% 17.33/17.72 T := T
% 17.33/17.72 end
% 17.33/17.72
% 17.33/17.72 subsumption: (273) {G1,W15,D2,L3,V6,M3} R(8,7) { ! perp( X, Y, Z, T ), para
% 17.33/17.72 ( X, Y, U, W ), ! perp( U, W, Z, T ) }.
% 17.33/17.72 parent0: (54905) {G1,W15,D2,L3,V6,M3} { ! perp( X, Y, Z, T ), para( X, Y,
% 17.33/17.72 U, W ), ! perp( U, W, Z, T ) }.
% 17.33/17.72 substitution0:
% 17.33/17.72 X := X
% 17.33/17.72 Y := Y
% 17.33/17.72 Z := Z
% 17.33/17.72 T := T
% 17.33/17.72 U := U
% 17.33/17.72 W := W
% 17.33/17.72 end
% 17.33/17.72 permutation0:
% 17.33/17.72 0 ==> 0
% 17.33/17.72 1 ==> 1
% 17.33/17.72 2 ==> 2
% 17.33/17.72 end
% 17.33/17.72
% 17.33/17.72 factor: (54908) {G1,W10,D2,L2,V4,M2} { ! perp( X, Y, Z, T ), para( X, Y, X
% 17.33/17.72 , Y ) }.
% 17.33/17.72 parent0[0, 2]: (273) {G1,W15,D2,L3,V6,M3} R(8,7) { ! perp( X, Y, Z, T ),
% 17.33/17.72 para( X, Y, U, W ), ! perp( U, W, Z, T ) }.
% 17.33/17.72 substitution0:
% 17.33/17.72 X := X
% 17.33/17.72 Y := Y
% 17.33/17.72 Z := Z
% 17.33/17.72 T := T
% 17.33/17.72 U := X
% 17.33/17.72 W := Y
% 17.33/17.72 end
% 17.33/17.72
% 17.33/17.72 subsumption: (291) {G2,W10,D2,L2,V4,M2} F(273) { ! perp( X, Y, Z, T ), para
% 17.33/17.72 ( X, Y, X, Y ) }.
% 17.33/17.72 parent0: (54908) {G1,W10,D2,L2,V4,M2} { ! perp( X, Y, Z, T ), para( X, Y,
% 17.33/17.72 X, Y ) }.
% 17.33/17.72 substitution0:
% 17.33/17.72 X := X
% 17.33/17.72 Y := Y
% 17.33/17.72 Z := Z
% 17.33/17.72 T := T
% 17.33/17.72 end
% 17.33/17.72 permutation0:
% 17.33/17.72 0 ==> 0
% 17.33/17.72 1 ==> 1
% 17.33/17.72 end
% 17.33/17.72
% 17.33/17.72 resolution: (54910) {G1,W10,D2,L2,V4,M2} { cyclic( X, Y, T, Z ), ! cyclic
% 17.33/17.72 ( X, Z, Y, T ) }.
% 17.33/17.72 parent0[0]: (13) {G0,W10,D2,L2,V4,M2} I { ! cyclic( X, Y, Z, T ), cyclic( X
% 17.33/17.72 , Y, T, Z ) }.
% 17.33/17.72 parent1[1]: (14) {G0,W10,D2,L2,V4,M2} I { ! cyclic( X, Y, Z, T ), cyclic( X
% 17.33/17.72 , Z, Y, T ) }.
% 17.33/17.72 substitution0:
% 17.33/17.72 X := X
% 17.33/17.72 Y := Y
% 17.33/17.72 Z := Z
% 17.33/17.72 T := T
% 17.33/17.72 end
% 17.33/17.72 substitution1:
% 17.33/17.72 X := X
% 17.33/17.72 Y := Z
% 17.33/17.72 Z := Y
% 17.33/17.72 T := T
% 17.33/17.72 end
% 17.33/17.72
% 17.33/17.72 subsumption: (348) {G1,W10,D2,L2,V4,M2} R(14,13) { ! cyclic( X, Y, Z, T ),
% 17.33/17.72 cyclic( X, Z, T, Y ) }.
% 17.33/17.72 parent0: (54910) {G1,W10,D2,L2,V4,M2} { cyclic( X, Y, T, Z ), ! cyclic( X
% 17.33/17.72 , Z, Y, T ) }.
% 17.33/17.72 substitution0:
% 17.33/17.72 X := X
% 17.33/17.72 Y := Z
% 17.33/17.72 Z := Y
% 17.33/17.72 T := T
% 17.33/17.72 end
% 17.33/17.72 permutation0:
% 17.33/17.72 0 ==> 1
% 17.33/17.72 1 ==> 0
% 17.33/17.72 end
% 17.33/17.72
% 17.33/17.72 resolution: (54911) {G1,W10,D2,L2,V4,M2} { cyclic( Y, X, Z, T ), ! cyclic
% 17.33/17.72 ( X, Z, Y, T ) }.
% 17.33/17.72 parent0[0]: (15) {G0,W10,D2,L2,V4,M2} I { ! cyclic( X, Y, Z, T ), cyclic( Y
% 17.33/17.72 , X, Z, T ) }.
% 17.33/17.72 parent1[1]: (14) {G0,W10,D2,L2,V4,M2} I { ! cyclic( X, Y, Z, T ), cyclic( X
% 17.33/17.72 , Z, Y, T ) }.
% 17.33/17.72 substitution0:
% 17.33/17.72 X := X
% 17.33/17.72 Y := Y
% 17.33/17.72 Z := Z
% 17.33/17.72 T := T
% 17.33/17.72 end
% 17.33/17.72 substitution1:
% 17.33/17.72 X := X
% 17.33/17.72 Y := Z
% 17.33/17.72 Z := Y
% 17.33/17.72 T := T
% 17.33/17.72 end
% 17.33/17.72
% 17.33/17.72 subsumption: (358) {G1,W10,D2,L2,V4,M2} R(15,14) { cyclic( X, Y, Z, T ), !
% 17.33/17.72 cyclic( Y, Z, X, T ) }.
% 17.33/17.72 parent0: (54911) {G1,W10,D2,L2,V4,M2} { cyclic( Y, X, Z, T ), ! cyclic( X
% 17.33/17.72 , Z, Y, T ) }.
% 17.33/17.72 substitution0:
% 17.33/17.72 X := Y
% 17.33/17.72 Y := X
% 17.33/17.72 Z := Z
% 17.33/17.72 T := T
% 17.33/17.72 end
% 17.33/17.72 permutation0:
% 17.33/17.72 0 ==> 0
% 17.33/17.72 1 ==> 1
% 17.33/17.72 end
% 17.33/17.72
% 17.33/17.72 resolution: (54912) {G1,W10,D2,L2,V4,M2} { cyclic( Y, X, Z, T ), ! cyclic
% 17.33/17.72 ( X, Y, T, Z ) }.
% 17.33/17.72 parent0[0]: (15) {G0,W10,D2,L2,V4,M2} I { ! cyclic( X, Y, Z, T ), cyclic( Y
% 17.33/17.72 , X, Z, T ) }.
% 17.33/17.72 parent1[1]: (13) {G0,W10,D2,L2,V4,M2} I { ! cyclic( X, Y, Z, T ), cyclic( X
% 17.33/17.72 , Y, T, Z ) }.
% 17.33/17.72 substitution0:
% 17.33/17.72 X := X
% 17.33/17.72 Y := Y
% 17.33/17.72 Z := Z
% 17.33/17.72 T := T
% 17.33/17.72 end
% 17.33/17.72 substitution1:
% 17.33/17.72 X := X
% 17.33/17.72 Y := Y
% 17.33/17.72 Z := T
% 17.33/17.72 T := Z
% 17.33/17.72 end
% 17.33/17.72
% 17.33/17.72 subsumption: (360) {G1,W10,D2,L2,V4,M2} R(15,13) { cyclic( X, Y, Z, T ), !
% 17.33/17.72 cyclic( Y, X, T, Z ) }.
% 17.33/17.72 parent0: (54912) {G1,W10,D2,L2,V4,M2} { cyclic( Y, X, Z, T ), ! cyclic( X
% 17.33/17.72 , Y, T, Z ) }.
% 17.33/17.72 substitution0:
% 17.33/17.72 X := Y
% 17.33/17.72 Y := X
% 17.33/17.72 Z := Z
% 17.33/17.72 T := T
% 17.33/17.72 end
% 17.33/17.72 permutation0:
% 17.33/17.72 0 ==> 0
% 17.33/17.72 1 ==> 1
% 17.33/17.72 end
% 17.33/17.72
% 17.33/17.72 resolution: (54916) {G1,W15,D2,L3,V5,M3} { cyclic( Y, X, Z, T ), ! cyclic
% 17.33/17.72 ( U, X, Y, Z ), ! cyclic( U, X, Y, T ) }.
% 17.33/17.72 parent0[0]: (15) {G0,W10,D2,L2,V4,M2} I { ! cyclic( X, Y, Z, T ), cyclic( Y
% 17.33/17.72 , X, Z, T ) }.
% 17.33/17.72 parent1[2]: (16) {G0,W15,D2,L3,V5,M3} I { ! cyclic( U, X, Y, Z ), ! cyclic
% 17.33/17.72 ( U, X, Y, T ), cyclic( X, Y, Z, T ) }.
% 17.33/17.72 substitution0:
% 17.33/17.72 X := X
% 17.33/17.72 Y := Y
% 17.33/17.72 Z := Z
% 17.33/17.72 T := T
% 17.33/17.72 end
% 17.33/17.72 substitution1:
% 17.33/17.72 X := X
% 17.33/17.72 Y := Y
% 17.33/17.72 Z := Z
% 17.33/17.72 T := T
% 17.33/17.72 U := U
% 17.33/17.72 end
% 17.33/17.72
% 17.33/17.72 subsumption: (377) {G1,W15,D2,L3,V5,M3} R(16,15) { ! cyclic( X, Y, Z, T ),
% 17.33/17.72 ! cyclic( X, Y, Z, U ), cyclic( Z, Y, T, U ) }.
% 17.33/17.72 parent0: (54916) {G1,W15,D2,L3,V5,M3} { cyclic( Y, X, Z, T ), ! cyclic( U
% 17.33/17.72 , X, Y, Z ), ! cyclic( U, X, Y, T ) }.
% 17.33/17.72 substitution0:
% 17.33/17.72 X := Y
% 17.33/17.72 Y := Z
% 17.33/17.72 Z := T
% 17.33/17.72 T := U
% 17.33/17.72 U := X
% 17.33/17.72 end
% 17.33/17.72 permutation0:
% 17.33/17.72 0 ==> 2
% 17.33/17.72 1 ==> 0
% 17.33/17.72 2 ==> 1
% 17.33/17.72 end
% 17.33/17.72
% 17.33/17.72 resolution: (54919) {G1,W15,D2,L3,V5,M3} { ! cyclic( X, Y, Z, T ), cyclic
% 17.33/17.72 ( Y, Z, T, U ), ! cyclic( X, Y, U, Z ) }.
% 17.33/17.72 parent0[1]: (16) {G0,W15,D2,L3,V5,M3} I { ! cyclic( U, X, Y, Z ), ! cyclic
% 17.33/17.72 ( U, X, Y, T ), cyclic( X, Y, Z, T ) }.
% 17.33/17.72 parent1[1]: (13) {G0,W10,D2,L2,V4,M2} I { ! cyclic( X, Y, Z, T ), cyclic( X
% 17.33/17.72 , Y, T, Z ) }.
% 17.33/17.72 substitution0:
% 17.33/17.72 X := Y
% 17.33/17.72 Y := Z
% 17.33/17.72 Z := T
% 17.33/17.72 T := U
% 17.33/17.72 U := X
% 17.33/17.72 end
% 17.33/17.72 substitution1:
% 17.33/17.72 X := X
% 17.33/17.72 Y := Y
% 17.33/17.72 Z := U
% 17.33/17.72 T := Z
% 17.33/17.72 end
% 17.33/17.72
% 17.33/17.72 subsumption: (382) {G1,W15,D2,L3,V5,M3} R(16,13) { ! cyclic( X, Y, Z, T ),
% 17.33/17.72 cyclic( Y, Z, T, U ), ! cyclic( X, Y, U, Z ) }.
% 17.33/17.72 parent0: (54919) {G1,W15,D2,L3,V5,M3} { ! cyclic( X, Y, Z, T ), cyclic( Y
% 17.33/17.72 , Z, T, U ), ! cyclic( X, Y, U, Z ) }.
% 17.33/17.72 substitution0:
% 17.33/17.72 X := X
% 17.33/17.72 Y := Y
% 17.33/17.72 Z := Z
% 17.33/17.72 T := T
% 17.33/17.72 U := U
% 17.33/17.72 end
% 17.33/17.72 permutation0:
% 17.33/17.72 0 ==> 0
% 17.33/17.72 1 ==> 1
% 17.33/17.72 2 ==> 2
% 17.33/17.72 end
% 17.33/17.72
% 17.33/17.72 factor: (54921) {G1,W10,D2,L2,V4,M2} { ! cyclic( X, Y, Z, T ), cyclic( Z,
% 17.33/17.72 Y, T, T ) }.
% 17.33/17.72 parent0[0, 1]: (377) {G1,W15,D2,L3,V5,M3} R(16,15) { ! cyclic( X, Y, Z, T )
% 17.33/17.72 , ! cyclic( X, Y, Z, U ), cyclic( Z, Y, T, U ) }.
% 17.33/17.72 substitution0:
% 17.33/17.72 X := X
% 17.33/17.72 Y := Y
% 17.33/17.72 Z := Z
% 17.33/17.72 T := T
% 17.33/17.72 U := T
% 17.33/17.72 end
% 17.33/17.72
% 17.33/17.72 subsumption: (386) {G2,W10,D2,L2,V4,M2} F(377) { ! cyclic( X, Y, Z, T ),
% 17.33/17.72 cyclic( Z, Y, T, T ) }.
% 17.33/17.72 parent0: (54921) {G1,W10,D2,L2,V4,M2} { ! cyclic( X, Y, Z, T ), cyclic( Z
% 17.33/17.72 , Y, T, T ) }.
% 17.33/17.72 substitution0:
% 17.33/17.72 X := X
% 17.33/17.72 Y := Y
% 17.33/17.72 Z := Z
% 17.33/17.72 T := T
% 17.33/17.72 end
% 17.33/17.72 permutation0:
% 17.33/17.72 0 ==> 0
% 17.33/17.72 1 ==> 1
% 17.33/17.72 end
% 17.33/17.72
% 17.33/17.72 resolution: (54923) {G1,W8,D2,L2,V3,M2} { coll( Y, X, X ), ! coll( X, Z, Y
% 17.33/17.72 ) }.
% 17.33/17.72 parent0[0]: (1) {G0,W8,D2,L2,V3,M2} I { ! coll( X, Y, Z ), coll( Y, X, Z )
% 17.33/17.72 }.
% 17.33/17.72 parent1[0]: (253) {G4,W8,D2,L2,V3,M2} F(240) { coll( X, Y, X ), ! coll( X,
% 17.33/17.72 Z, Y ) }.
% 17.33/17.72 substitution0:
% 17.33/17.72 X := X
% 17.33/17.72 Y := Y
% 17.33/17.72 Z := X
% 17.33/17.72 end
% 17.33/17.72 substitution1:
% 17.33/17.72 X := X
% 17.33/17.72 Y := Y
% 17.33/17.72 Z := Z
% 17.33/17.72 end
% 17.33/17.72
% 17.33/17.72 subsumption: (423) {G5,W8,D2,L2,V3,M2} R(253,1) { ! coll( X, Y, Z ), coll(
% 17.33/17.72 Z, X, X ) }.
% 17.33/17.72 parent0: (54923) {G1,W8,D2,L2,V3,M2} { coll( Y, X, X ), ! coll( X, Z, Y )
% 17.33/17.72 }.
% 17.33/17.72 substitution0:
% 17.33/17.72 X := X
% 17.33/17.72 Y := Z
% 17.33/17.72 Z := Y
% 17.33/17.72 end
% 17.33/17.72 permutation0:
% 17.33/17.72 0 ==> 1
% 17.33/17.72 1 ==> 0
% 17.33/17.72 end
% 17.33/17.72
% 17.33/17.72 resolution: (54924) {G1,W8,D2,L2,V3,M2} { coll( Z, X, X ), ! coll( Y, X, Z
% 17.33/17.72 ) }.
% 17.33/17.72 parent0[0]: (423) {G5,W8,D2,L2,V3,M2} R(253,1) { ! coll( X, Y, Z ), coll( Z
% 17.33/17.72 , X, X ) }.
% 17.33/17.72 parent1[1]: (1) {G0,W8,D2,L2,V3,M2} I { ! coll( X, Y, Z ), coll( Y, X, Z )
% 17.33/17.72 }.
% 17.33/17.72 substitution0:
% 17.33/17.72 X := X
% 17.33/17.72 Y := Y
% 17.33/17.72 Z := Z
% 17.33/17.72 end
% 17.33/17.72 substitution1:
% 17.33/17.72 X := Y
% 17.33/17.72 Y := X
% 17.33/17.72 Z := Z
% 17.33/17.72 end
% 17.33/17.72
% 17.33/17.72 subsumption: (431) {G6,W8,D2,L2,V3,M2} R(423,1) { coll( X, Y, Y ), ! coll(
% 17.33/17.72 Z, Y, X ) }.
% 17.33/17.72 parent0: (54924) {G1,W8,D2,L2,V3,M2} { coll( Z, X, X ), ! coll( Y, X, Z )
% 17.33/17.72 }.
% 17.33/17.72 substitution0:
% 17.33/17.72 X := Y
% 17.33/17.72 Y := Z
% 17.33/17.72 Z := X
% 17.33/17.72 end
% 17.33/17.72 permutation0:
% 17.33/17.72 0 ==> 0
% 17.33/17.72 1 ==> 1
% 17.33/17.72 end
% 17.33/17.72
% 17.33/17.72 resolution: (54925) {G1,W8,D2,L2,V3,M2} { coll( Z, X, X ), ! coll( X, Z, Y
% 17.33/17.72 ) }.
% 17.33/17.72 parent0[0]: (423) {G5,W8,D2,L2,V3,M2} R(253,1) { ! coll( X, Y, Z ), coll( Z
% 17.33/17.72 , X, X ) }.
% 17.33/17.72 parent1[1]: (0) {G0,W8,D2,L2,V3,M2} I { ! coll( X, Y, Z ), coll( X, Z, Y )
% 17.33/17.72 }.
% 17.33/17.72 substitution0:
% 17.33/17.72 X := X
% 17.33/17.72 Y := Y
% 17.33/17.72 Z := Z
% 17.33/17.72 end
% 17.33/17.72 substitution1:
% 17.33/17.72 X := X
% 17.33/17.72 Y := Z
% 17.33/17.72 Z := Y
% 17.33/17.72 end
% 17.33/17.72
% 17.33/17.72 subsumption: (432) {G6,W8,D2,L2,V3,M2} R(423,0) { coll( X, Y, Y ), ! coll(
% 17.33/17.72 Y, X, Z ) }.
% 17.33/17.72 parent0: (54925) {G1,W8,D2,L2,V3,M2} { coll( Z, X, X ), ! coll( X, Z, Y )
% 17.33/17.72 }.
% 17.33/17.72 substitution0:
% 17.33/17.72 X := Y
% 17.33/17.72 Y := Z
% 17.33/17.72 Z := X
% 17.33/17.72 end
% 17.33/17.72 permutation0:
% 17.33/17.72 0 ==> 0
% 17.33/17.72 1 ==> 1
% 17.33/17.72 end
% 17.33/17.72
% 17.33/17.72 resolution: (54927) {G6,W8,D2,L2,V3,M2} { coll( Y, X, X ), ! coll( Z, Y, X
% 17.33/17.72 ) }.
% 17.33/17.72 parent0[0]: (423) {G5,W8,D2,L2,V3,M2} R(253,1) { ! coll( X, Y, Z ), coll( Z
% 17.33/17.72 , X, X ) }.
% 17.33/17.72 parent1[0]: (431) {G6,W8,D2,L2,V3,M2} R(423,1) { coll( X, Y, Y ), ! coll( Z
% 17.33/17.72 , Y, X ) }.
% 17.33/17.72 substitution0:
% 17.33/17.72 X := X
% 17.33/17.72 Y := Y
% 17.33/17.72 Z := Y
% 17.33/17.72 end
% 17.33/17.72 substitution1:
% 17.33/17.72 X := X
% 17.33/17.72 Y := Y
% 17.33/17.72 Z := Z
% 17.33/17.72 end
% 17.33/17.72
% 17.33/17.72 subsumption: (433) {G7,W8,D2,L2,V3,M2} R(431,423) { ! coll( X, Y, Z ), coll
% 17.33/17.72 ( Y, Z, Z ) }.
% 17.33/17.72 parent0: (54927) {G6,W8,D2,L2,V3,M2} { coll( Y, X, X ), ! coll( Z, Y, X )
% 17.33/17.72 }.
% 17.33/17.72 substitution0:
% 17.33/17.72 X := Z
% 17.33/17.72 Y := Y
% 17.33/17.72 Z := X
% 17.33/17.72 end
% 17.33/17.72 permutation0:
% 17.33/17.72 0 ==> 1
% 17.33/17.72 1 ==> 0
% 17.33/17.72 end
% 17.33/17.72
% 17.33/17.72 resolution: (54928) {G7,W8,D2,L2,V3,M2} { coll( X, Y, Y ), ! coll( X, Y, Z
% 17.33/17.72 ) }.
% 17.33/17.72 parent0[1]: (432) {G6,W8,D2,L2,V3,M2} R(423,0) { coll( X, Y, Y ), ! coll( Y
% 17.33/17.72 , X, Z ) }.
% 17.33/17.72 parent1[0]: (432) {G6,W8,D2,L2,V3,M2} R(423,0) { coll( X, Y, Y ), ! coll( Y
% 17.33/17.72 , X, Z ) }.
% 17.33/17.72 substitution0:
% 17.33/17.72 X := X
% 17.33/17.72 Y := Y
% 17.33/17.72 Z := X
% 17.33/17.72 end
% 17.33/17.72 substitution1:
% 17.33/17.72 X := Y
% 17.33/17.72 Y := X
% 17.33/17.72 Z := Z
% 17.33/17.72 end
% 17.33/17.72
% 17.33/17.72 subsumption: (436) {G7,W8,D2,L2,V3,M2} R(432,432) { ! coll( X, Y, Z ), coll
% 17.33/17.72 ( X, Y, Y ) }.
% 17.33/17.72 parent0: (54928) {G7,W8,D2,L2,V3,M2} { coll( X, Y, Y ), ! coll( X, Y, Z )
% 17.33/17.72 }.
% 17.33/17.72 substitution0:
% 17.33/17.72 X := X
% 17.33/17.72 Y := Y
% 17.33/17.72 Z := Z
% 17.33/17.72 end
% 17.33/17.72 permutation0:
% 17.33/17.72 0 ==> 1
% 17.33/17.72 1 ==> 0
% 17.33/17.72 end
% 17.33/17.72
% 17.33/17.72 resolution: (54932) {G1,W12,D2,L3,V4,M3} { ! coll( X, Y, Z ), coll( Z, Y,
% 17.33/17.72 X ), ! coll( X, Y, T ) }.
% 17.33/17.72 parent0[1]: (2) {G0,W12,D2,L3,V4,M3} I { ! coll( X, T, Y ), ! coll( X, T, Z
% 17.33/17.72 ), coll( Y, Z, X ) }.
% 17.33/17.72 parent1[1]: (436) {G7,W8,D2,L2,V3,M2} R(432,432) { ! coll( X, Y, Z ), coll
% 17.33/17.72 ( X, Y, Y ) }.
% 17.33/17.72 substitution0:
% 17.33/17.72 X := X
% 17.33/17.72 Y := Z
% 17.33/17.72 Z := Y
% 17.33/17.72 T := Y
% 17.33/17.72 end
% 17.33/17.72 substitution1:
% 17.33/17.72 X := X
% 17.33/17.72 Y := Y
% 17.33/17.72 Z := T
% 17.33/17.72 end
% 17.33/17.72
% 17.33/17.72 subsumption: (442) {G8,W12,D2,L3,V4,M3} R(436,2) { ! coll( X, Y, Z ), !
% 17.33/17.72 coll( X, Y, T ), coll( T, Y, X ) }.
% 17.33/17.72 parent0: (54932) {G1,W12,D2,L3,V4,M3} { ! coll( X, Y, Z ), coll( Z, Y, X )
% 17.33/17.72 , ! coll( X, Y, T ) }.
% 17.33/17.72 substitution0:
% 17.33/17.72 X := X
% 17.33/17.72 Y := Y
% 17.33/17.72 Z := T
% 17.33/17.72 T := Z
% 17.33/17.72 end
% 17.33/17.72 permutation0:
% 17.33/17.72 0 ==> 1
% 17.33/17.72 1 ==> 2
% 17.33/17.72 2 ==> 0
% 17.33/17.72 end
% 17.33/17.72
% 17.33/17.72 factor: (54935) {G8,W8,D2,L2,V3,M2} { ! coll( X, Y, Z ), coll( Z, Y, X )
% 17.33/17.72 }.
% 17.33/17.72 parent0[0, 1]: (442) {G8,W12,D2,L3,V4,M3} R(436,2) { ! coll( X, Y, Z ), !
% 17.33/17.72 coll( X, Y, T ), coll( T, Y, X ) }.
% 17.33/17.72 substitution0:
% 17.33/17.72 X := X
% 17.33/17.72 Y := Y
% 17.33/17.72 Z := Z
% 17.33/17.72 T := Z
% 17.33/17.72 end
% 17.33/17.72
% 17.33/17.72 subsumption: (443) {G9,W8,D2,L2,V3,M2} F(442) { ! coll( X, Y, Z ), coll( Z
% 17.33/17.72 , Y, X ) }.
% 17.33/17.72 parent0: (54935) {G8,W8,D2,L2,V3,M2} { ! coll( X, Y, Z ), coll( Z, Y, X )
% 17.33/17.72 }.
% 17.33/17.72 substitution0:
% 17.33/17.72 X := X
% 17.33/17.72 Y := Y
% 17.33/17.72 Z := Z
% 17.33/17.72 end
% 17.33/17.72 permutation0:
% 17.33/17.72 0 ==> 0
% 17.33/17.72 1 ==> 1
% 17.33/17.72 end
% 17.33/17.72
% 17.33/17.72 resolution: (54936) {G8,W8,D2,L2,V3,M2} { coll( Y, Y, X ), ! coll( Z, X, Y
% 17.33/17.72 ) }.
% 17.33/17.72 parent0[0]: (443) {G9,W8,D2,L2,V3,M2} F(442) { ! coll( X, Y, Z ), coll( Z,
% 17.33/17.72 Y, X ) }.
% 17.33/17.72 parent1[1]: (433) {G7,W8,D2,L2,V3,M2} R(431,423) { ! coll( X, Y, Z ), coll
% 17.33/17.72 ( Y, Z, Z ) }.
% 17.33/17.72 substitution0:
% 17.33/17.72 X := X
% 17.33/17.72 Y := Y
% 17.33/17.72 Z := Y
% 17.33/17.72 end
% 17.33/17.72 substitution1:
% 17.33/17.72 X := Z
% 17.33/17.72 Y := X
% 17.33/17.72 Z := Y
% 17.33/17.72 end
% 17.33/17.72
% 17.33/17.72 subsumption: (446) {G10,W8,D2,L2,V3,M2} R(443,433) { coll( X, X, Y ), !
% 17.33/17.72 coll( Z, Y, X ) }.
% 17.33/17.72 parent0: (54936) {G8,W8,D2,L2,V3,M2} { coll( Y, Y, X ), ! coll( Z, X, Y )
% 17.33/17.72 }.
% 17.33/17.72 substitution0:
% 17.33/17.72 X := Y
% 17.33/17.72 Y := X
% 17.33/17.72 Z := Z
% 17.33/17.72 end
% 17.33/17.72 permutation0:
% 17.33/17.72 0 ==> 0
% 17.33/17.72 1 ==> 1
% 17.33/17.72 end
% 17.33/17.72
% 17.33/17.72 resolution: (54937) {G1,W14,D2,L2,V6,M2} { eqangle( Z, T, X, Y, Z, T, U, W
% 17.33/17.72 ), ! para( X, Y, U, W ) }.
% 17.33/17.72 parent0[0]: (18) {G0,W18,D2,L2,V8,M2} I { ! eqangle( X, Y, Z, T, U, W, V0,
% 17.33/17.72 V1 ), eqangle( Z, T, X, Y, V0, V1, U, W ) }.
% 17.33/17.72 parent1[1]: (39) {G0,W14,D2,L2,V6,M2} I { ! para( X, Y, Z, T ), eqangle( X
% 17.33/17.72 , Y, U, W, Z, T, U, W ) }.
% 17.33/17.72 substitution0:
% 17.33/17.72 X := X
% 17.33/17.72 Y := Y
% 17.33/17.72 Z := Z
% 17.33/17.72 T := T
% 17.33/17.72 U := U
% 17.33/17.72 W := W
% 17.33/17.72 V0 := Z
% 17.33/17.72 V1 := T
% 17.33/17.72 end
% 17.33/17.72 substitution1:
% 17.33/17.72 X := X
% 17.33/17.72 Y := Y
% 17.33/17.72 Z := U
% 17.33/17.72 T := W
% 17.33/17.72 U := Z
% 17.33/17.72 W := T
% 17.33/17.72 end
% 17.33/17.72
% 17.33/17.72 subsumption: (770) {G1,W14,D2,L2,V6,M2} R(39,18) { ! para( X, Y, Z, T ),
% 17.33/17.72 eqangle( U, W, X, Y, U, W, Z, T ) }.
% 17.33/17.72 parent0: (54937) {G1,W14,D2,L2,V6,M2} { eqangle( Z, T, X, Y, Z, T, U, W )
% 17.33/17.72 , ! para( X, Y, U, W ) }.
% 17.33/17.72 substitution0:
% 17.33/17.72 X := X
% 17.33/17.72 Y := Y
% 17.33/17.72 Z := U
% 17.33/17.72 T := W
% 17.33/17.72 U := Z
% 17.33/17.72 W := T
% 17.33/17.72 end
% 17.33/17.72 permutation0:
% 17.33/17.72 0 ==> 1
% 17.33/17.72 1 ==> 0
% 17.33/17.72 end
% 17.33/17.72
% 17.33/17.72 resolution: (54938) {G1,W18,D2,L3,V4,M3} { ! coll( X, T, Z ), cyclic( Y, Z
% 17.33/17.72 , X, T ), ! eqangle( T, Y, T, Z, X, Y, X, Z ) }.
% 17.33/17.72 parent0[0]: (42) {G0,W18,D2,L3,V4,M3} I { ! eqangle( Z, X, Z, Y, T, X, T, Y
% 17.33/17.72 ), ! coll( Z, T, Y ), cyclic( X, Y, Z, T ) }.
% 17.33/17.72 parent1[1]: (19) {G0,W18,D2,L2,V8,M2} I { ! eqangle( X, Y, Z, T, U, W, V0,
% 17.33/17.72 V1 ), eqangle( U, W, V0, V1, X, Y, Z, T ) }.
% 17.33/17.72 substitution0:
% 17.33/17.72 X := Y
% 17.33/17.72 Y := Z
% 17.33/17.72 Z := X
% 17.33/17.72 T := T
% 17.33/17.72 end
% 17.33/17.72 substitution1:
% 17.33/17.72 X := T
% 17.33/17.72 Y := Y
% 17.33/17.72 Z := T
% 17.33/17.72 T := Z
% 17.33/17.72 U := X
% 17.33/17.72 W := Y
% 17.33/17.72 V0 := X
% 17.33/17.72 V1 := Z
% 17.33/17.72 end
% 17.33/17.72
% 17.33/17.72 subsumption: (839) {G1,W18,D2,L3,V4,M3} R(42,19) { ! coll( X, Y, Z ),
% 17.33/17.72 cyclic( T, Z, X, Y ), ! eqangle( Y, T, Y, Z, X, T, X, Z ) }.
% 17.33/17.72 parent0: (54938) {G1,W18,D2,L3,V4,M3} { ! coll( X, T, Z ), cyclic( Y, Z, X
% 17.33/17.72 , T ), ! eqangle( T, Y, T, Z, X, Y, X, Z ) }.
% 17.33/17.72 substitution0:
% 17.33/17.72 X := X
% 17.33/17.72 Y := T
% 17.33/17.72 Z := Z
% 17.33/17.72 T := Y
% 17.33/17.72 end
% 17.33/17.72 permutation0:
% 17.33/17.72 0 ==> 0
% 17.33/17.72 1 ==> 1
% 17.33/17.72 2 ==> 2
% 17.33/17.72 end
% 17.33/17.72
% 17.33/17.72 resolution: (54939) {G1,W25,D2,L5,V4,M5} { ! cyclic( X, Y, Z, X ), !
% 17.33/17.72 cyclic( X, Y, Z, Y ), ! cyclic( X, Y, Z, T ), cong( X, Y, X, Y ), !
% 17.33/17.72 cyclic( X, Y, Z, T ) }.
% 17.33/17.72 parent0[3]: (43) {G0,W29,D2,L5,V6,M5} I { ! cyclic( X, Y, U, Z ), ! cyclic
% 17.33/17.72 ( X, Y, U, T ), ! cyclic( X, Y, U, W ), ! eqangle( U, X, U, Y, W, Z, W, T
% 17.33/17.72 ), cong( X, Y, Z, T ) }.
% 17.33/17.72 parent1[1]: (40) {G0,W14,D2,L2,V4,M2} I { ! cyclic( X, Y, Z, T ), eqangle(
% 17.33/17.72 Z, X, Z, Y, T, X, T, Y ) }.
% 17.33/17.72 substitution0:
% 17.33/17.72 X := X
% 17.33/17.72 Y := Y
% 17.33/17.72 Z := X
% 17.33/17.72 T := Y
% 17.33/17.72 U := Z
% 17.33/17.72 W := T
% 17.33/17.72 end
% 17.33/17.72 substitution1:
% 17.33/17.72 X := X
% 17.33/17.72 Y := Y
% 17.33/17.72 Z := Z
% 17.33/17.72 T := T
% 17.33/17.72 end
% 17.33/17.72
% 17.33/17.72 factor: (54941) {G1,W20,D2,L4,V3,M4} { ! cyclic( X, Y, Z, X ), ! cyclic( X
% 17.33/17.72 , Y, Z, Y ), cong( X, Y, X, Y ), ! cyclic( X, Y, Z, X ) }.
% 17.33/17.72 parent0[0, 2]: (54939) {G1,W25,D2,L5,V4,M5} { ! cyclic( X, Y, Z, X ), !
% 17.33/17.72 cyclic( X, Y, Z, Y ), ! cyclic( X, Y, Z, T ), cong( X, Y, X, Y ), !
% 17.33/17.72 cyclic( X, Y, Z, T ) }.
% 17.33/17.72 substitution0:
% 17.33/17.72 X := X
% 17.33/17.72 Y := Y
% 17.33/17.72 Z := Z
% 17.33/17.72 T := X
% 17.33/17.72 end
% 17.33/17.72
% 17.33/17.72 subsumption: (914) {G1,W20,D2,L4,V4,M4} R(43,40);f { ! cyclic( X, Y, Z, X )
% 17.33/17.72 , ! cyclic( X, Y, Z, Y ), ! cyclic( X, Y, Z, T ), cong( X, Y, X, Y ) }.
% 17.33/17.72 parent0: (54941) {G1,W20,D2,L4,V3,M4} { ! cyclic( X, Y, Z, X ), ! cyclic(
% 17.33/17.72 X, Y, Z, Y ), cong( X, Y, X, Y ), ! cyclic( X, Y, Z, X ) }.
% 17.33/17.72 substitution0:
% 17.33/17.72 X := X
% 17.33/17.72 Y := Y
% 17.33/17.72 Z := Z
% 17.33/17.72 end
% 17.33/17.72 permutation0:
% 17.33/17.72 0 ==> 0
% 17.33/17.72 1 ==> 1
% 17.33/17.72 2 ==> 3
% 17.33/17.72 3 ==> 0
% 17.33/17.72 end
% 17.33/17.72
% 17.33/17.72 factor: (54946) {G1,W15,D2,L3,V3,M3} { ! cyclic( X, Y, Z, X ), ! cyclic( X
% 17.33/17.72 , Y, Z, Y ), cong( X, Y, X, Y ) }.
% 17.33/17.72 parent0[0, 2]: (914) {G1,W20,D2,L4,V4,M4} R(43,40);f { ! cyclic( X, Y, Z, X
% 17.33/17.72 ), ! cyclic( X, Y, Z, Y ), ! cyclic( X, Y, Z, T ), cong( X, Y, X, Y )
% 17.33/17.72 }.
% 17.33/17.72 substitution0:
% 17.33/17.72 X := X
% 17.33/17.72 Y := Y
% 17.33/17.72 Z := Z
% 17.33/17.72 T := X
% 17.33/17.72 end
% 17.33/17.72
% 17.33/17.72 subsumption: (946) {G2,W15,D2,L3,V3,M3} F(914) { ! cyclic( X, Y, Z, X ), !
% 17.33/17.72 cyclic( X, Y, Z, Y ), cong( X, Y, X, Y ) }.
% 17.33/17.72 parent0: (54946) {G1,W15,D2,L3,V3,M3} { ! cyclic( X, Y, Z, X ), ! cyclic(
% 17.33/17.72 X, Y, Z, Y ), cong( X, Y, X, Y ) }.
% 17.33/17.72 substitution0:
% 17.33/17.72 X := X
% 17.33/17.72 Y := Y
% 17.33/17.72 Z := Z
% 17.33/17.72 end
% 17.33/17.72 permutation0:
% 17.33/17.72 0 ==> 0
% 17.33/17.72 1 ==> 1
% 17.33/17.72 2 ==> 2
% 17.33/17.72 end
% 17.33/17.72
% 17.33/17.72 resolution: (54948) {G1,W7,D3,L1,V0,M1} { perp( skol12( skol32, skol25 ),
% 17.33/17.72 skol32, skol32, skol25 ) }.
% 17.33/17.72 parent0[0]: (100) {G0,W12,D3,L2,V4,M2} I { ! circle( Y, X, Z, T ), perp(
% 17.33/17.72 skol12( X, Y ), X, X, Y ) }.
% 17.33/17.72 parent1[0]: (122) {G0,W5,D2,L1,V0,M1} I { circle( skol25, skol32, skol22,
% 17.33/17.72 skol36 ) }.
% 17.33/17.72 substitution0:
% 17.33/17.72 X := skol32
% 17.33/17.72 Y := skol25
% 17.33/17.72 Z := skol22
% 17.33/17.72 T := skol36
% 17.33/17.72 end
% 17.33/17.72 substitution1:
% 17.33/17.72 end
% 17.33/17.72
% 17.33/17.72 subsumption: (4804) {G1,W7,D3,L1,V0,M1} R(100,122) { perp( skol12( skol32,
% 17.33/17.72 skol25 ), skol32, skol32, skol25 ) }.
% 17.33/17.72 parent0: (54948) {G1,W7,D3,L1,V0,M1} { perp( skol12( skol32, skol25 ),
% 17.33/17.72 skol32, skol32, skol25 ) }.
% 17.33/17.72 substitution0:
% 17.33/17.72 end
% 17.33/17.72 permutation0:
% 17.33/17.72 0 ==> 0
% 17.33/17.72 end
% 17.33/17.72
% 17.33/17.72 resolution: (54949) {G1,W7,D3,L1,V0,M1} { perp( skol32, skol25, skol12(
% 17.33/17.72 skol32, skol25 ), skol32 ) }.
% 17.33/17.72 parent0[0]: (7) {G0,W10,D2,L2,V4,M2} I { ! perp( X, Y, Z, T ), perp( Z, T,
% 17.33/17.72 X, Y ) }.
% 17.33/17.72 parent1[0]: (4804) {G1,W7,D3,L1,V0,M1} R(100,122) { perp( skol12( skol32,
% 17.33/17.72 skol25 ), skol32, skol32, skol25 ) }.
% 17.33/17.72 substitution0:
% 17.33/17.72 X := skol12( skol32, skol25 )
% 17.33/17.72 Y := skol32
% 17.33/17.72 Z := skol32
% 17.33/17.72 T := skol25
% 17.33/17.72 end
% 17.33/17.72 substitution1:
% 17.33/17.72 end
% 17.33/17.72
% 17.33/17.72 subsumption: (9385) {G2,W7,D3,L1,V0,M1} R(4804,7) { perp( skol32, skol25,
% 17.33/17.72 skol12( skol32, skol25 ), skol32 ) }.
% 17.33/17.72 parent0: (54949) {G1,W7,D3,L1,V0,M1} { perp( skol32, skol25, skol12(
% 17.33/17.72 skol32, skol25 ), skol32 ) }.
% 17.33/17.72 substitution0:
% 17.33/17.72 end
% 17.33/17.72 permutation0:
% 17.33/17.72 0 ==> 0
% 17.33/17.72 end
% 17.33/17.72
% 17.33/17.72 resolution: (54950) {G1,W7,D3,L1,V0,M1} { perp( skol32, skol25, skol32,
% 17.33/17.72 skol12( skol32, skol25 ) ) }.
% 17.33/17.72 parent0[0]: (6) {G0,W10,D2,L2,V4,M2} I { ! perp( X, Y, Z, T ), perp( X, Y,
% 17.33/17.72 T, Z ) }.
% 17.33/17.72 parent1[0]: (9385) {G2,W7,D3,L1,V0,M1} R(4804,7) { perp( skol32, skol25,
% 17.33/17.72 skol12( skol32, skol25 ), skol32 ) }.
% 17.33/17.72 substitution0:
% 17.33/17.72 X := skol32
% 17.33/17.72 Y := skol25
% 17.33/17.72 Z := skol12( skol32, skol25 )
% 17.33/17.72 T := skol32
% 17.33/17.72 end
% 17.33/17.72 substitution1:
% 17.33/17.72 end
% 17.33/17.72
% 17.33/17.72 subsumption: (9396) {G3,W7,D3,L1,V0,M1} R(9385,6) { perp( skol32, skol25,
% 17.33/17.72 skol32, skol12( skol32, skol25 ) ) }.
% 17.33/17.72 parent0: (54950) {G1,W7,D3,L1,V0,M1} { perp( skol32, skol25, skol32,
% 17.33/17.72 skol12( skol32, skol25 ) ) }.
% 17.33/17.72 substitution0:
% 17.33/17.72 end
% 17.33/17.72 permutation0:
% 17.33/17.72 0 ==> 0
% 17.33/17.72 end
% 17.33/17.72
% 17.33/17.72 resolution: (54951) {G1,W7,D3,L1,V0,M1} { perp( skol32, skol12( skol32,
% 17.33/17.72 skol25 ), skol32, skol25 ) }.
% 17.33/17.72 parent0[0]: (7) {G0,W10,D2,L2,V4,M2} I { ! perp( X, Y, Z, T ), perp( Z, T,
% 17.33/17.72 X, Y ) }.
% 17.33/17.72 parent1[0]: (9396) {G3,W7,D3,L1,V0,M1} R(9385,6) { perp( skol32, skol25,
% 17.33/17.72 skol32, skol12( skol32, skol25 ) ) }.
% 17.33/17.72 substitution0:
% 17.33/17.72 X := skol32
% 17.33/17.72 Y := skol25
% 17.33/17.72 Z := skol32
% 17.33/17.72 T := skol12( skol32, skol25 )
% 17.33/17.72 end
% 17.33/17.72 substitution1:
% 17.33/17.72 end
% 17.33/17.72
% 17.33/17.72 subsumption: (9406) {G4,W7,D3,L1,V0,M1} R(9396,7) { perp( skol32, skol12(
% 17.33/17.72 skol32, skol25 ), skol32, skol25 ) }.
% 17.33/17.72 parent0: (54951) {G1,W7,D3,L1,V0,M1} { perp( skol32, skol12( skol32,
% 17.33/17.72 skol25 ), skol32, skol25 ) }.
% 17.33/17.72 substitution0:
% 17.33/17.72 end
% 17.33/17.72 permutation0:
% 17.33/17.72 0 ==> 0
% 17.33/17.72 end
% 17.33/17.72
% 17.33/17.72 resolution: (54952) {G2,W4,D2,L1,V0,M1} { alpha1( skol32, skol32, skol25 )
% 17.33/17.72 }.
% 17.33/17.72 parent0[0]: (156) {G1,W9,D2,L2,V3,M2} F(96) { ! perp( X, Y, X, Z ), alpha1
% 17.33/17.72 ( X, X, Z ) }.
% 17.33/17.72 parent1[0]: (9406) {G4,W7,D3,L1,V0,M1} R(9396,7) { perp( skol32, skol12(
% 17.33/17.72 skol32, skol25 ), skol32, skol25 ) }.
% 17.33/17.72 substitution0:
% 17.33/17.72 X := skol32
% 17.33/17.72 Y := skol12( skol32, skol25 )
% 17.33/17.72 Z := skol25
% 17.33/17.72 end
% 17.33/17.72 substitution1:
% 17.33/17.72 end
% 17.33/17.72
% 17.33/17.72 subsumption: (9409) {G5,W4,D2,L1,V0,M1} R(9406,156) { alpha1( skol32,
% 17.33/17.72 skol32, skol25 ) }.
% 17.33/17.72 parent0: (54952) {G2,W4,D2,L1,V0,M1} { alpha1( skol32, skol32, skol25 )
% 17.33/17.72 }.
% 17.33/17.72 substitution0:
% 17.33/17.72 end
% 17.33/17.72 permutation0:
% 17.33/17.72 0 ==> 0
% 17.33/17.72 end
% 17.33/17.72
% 17.33/17.72 resolution: (54953) {G1,W7,D3,L1,V1,M1} { coll( skol11( skol32, X, skol25
% 17.33/17.72 ), skol25, skol32 ) }.
% 17.33/17.72 parent0[0]: (97) {G0,W11,D3,L2,V4,M2} I { ! alpha1( X, Y, Z ), coll( skol11
% 17.33/17.72 ( X, T, Z ), Z, X ) }.
% 17.33/17.72 parent1[0]: (9409) {G5,W4,D2,L1,V0,M1} R(9406,156) { alpha1( skol32, skol32
% 17.33/17.72 , skol25 ) }.
% 17.33/17.72 substitution0:
% 17.33/17.72 X := skol32
% 17.33/17.72 Y := skol32
% 17.33/17.72 Z := skol25
% 17.33/17.72 T := X
% 17.33/17.72 end
% 17.33/17.72 substitution1:
% 17.33/17.72 end
% 17.33/17.72
% 17.33/17.72 subsumption: (9420) {G6,W7,D3,L1,V1,M1} R(9409,97) { coll( skol11( skol32,
% 17.33/17.72 X, skol25 ), skol25, skol32 ) }.
% 17.33/17.72 parent0: (54953) {G1,W7,D3,L1,V1,M1} { coll( skol11( skol32, X, skol25 ),
% 17.33/17.72 skol25, skol32 ) }.
% 17.33/17.72 substitution0:
% 17.33/17.72 X := X
% 17.33/17.72 end
% 17.33/17.72 permutation0:
% 17.33/17.72 0 ==> 0
% 17.33/17.72 end
% 17.33/17.72
% 17.33/17.72 resolution: (54954) {G7,W4,D2,L1,V0,M1} { coll( skol32, skol32, skol25 )
% 17.33/17.72 }.
% 17.33/17.72 parent0[1]: (446) {G10,W8,D2,L2,V3,M2} R(443,433) { coll( X, X, Y ), ! coll
% 17.33/17.72 ( Z, Y, X ) }.
% 17.33/17.72 parent1[0]: (9420) {G6,W7,D3,L1,V1,M1} R(9409,97) { coll( skol11( skol32, X
% 17.33/17.72 , skol25 ), skol25, skol32 ) }.
% 17.33/17.72 substitution0:
% 17.33/17.72 X := skol32
% 17.33/17.72 Y := skol25
% 17.33/17.72 Z := skol11( skol32, X, skol25 )
% 17.33/17.72 end
% 17.33/17.72 substitution1:
% 17.33/17.72 X := X
% 17.33/17.72 end
% 17.33/17.72
% 17.33/17.72 subsumption: (9434) {G11,W4,D2,L1,V0,M1} R(9420,446) { coll( skol32, skol32
% 17.33/17.72 , skol25 ) }.
% 17.33/17.72 parent0: (54954) {G7,W4,D2,L1,V0,M1} { coll( skol32, skol32, skol25 ) }.
% 17.33/17.72 substitution0:
% 17.33/17.72 end
% 17.33/17.72 permutation0:
% 17.33/17.72 0 ==> 0
% 17.33/17.72 end
% 17.33/17.72
% 17.33/17.72 resolution: (54955) {G3,W5,D2,L1,V0,M1} { para( skol32, skol25, skol32,
% 17.33/17.72 skol25 ) }.
% 17.33/17.72 parent0[0]: (291) {G2,W10,D2,L2,V4,M2} F(273) { ! perp( X, Y, Z, T ), para
% 17.33/17.72 ( X, Y, X, Y ) }.
% 17.33/17.72 parent1[0]: (9396) {G3,W7,D3,L1,V0,M1} R(9385,6) { perp( skol32, skol25,
% 17.33/17.72 skol32, skol12( skol32, skol25 ) ) }.
% 17.33/17.72 substitution0:
% 17.33/17.72 X := skol32
% 17.33/17.72 Y := skol25
% 17.33/17.72 Z := skol32
% 17.33/17.72 T := skol12( skol32, skol25 )
% 17.33/17.72 end
% 17.33/17.72 substitution1:
% 17.33/17.72 end
% 17.33/17.72
% 17.33/17.72 subsumption: (16772) {G4,W5,D2,L1,V0,M1} R(291,9396) { para( skol32, skol25
% 17.33/17.72 , skol32, skol25 ) }.
% 17.33/17.72 parent0: (54955) {G3,W5,D2,L1,V0,M1} { para( skol32, skol25, skol32,
% 17.33/17.72 skol25 ) }.
% 17.33/17.72 substitution0:
% 17.33/17.72 end
% 17.33/17.72 permutation0:
% 17.33/17.72 0 ==> 0
% 17.33/17.72 end
% 17.33/17.72
% 17.33/17.72 resolution: (54956) {G2,W9,D2,L1,V2,M1} { eqangle( X, Y, skol32, skol25, X
% 17.33/17.72 , Y, skol32, skol25 ) }.
% 17.33/17.72 parent0[0]: (770) {G1,W14,D2,L2,V6,M2} R(39,18) { ! para( X, Y, Z, T ),
% 17.33/17.72 eqangle( U, W, X, Y, U, W, Z, T ) }.
% 17.33/17.72 parent1[0]: (16772) {G4,W5,D2,L1,V0,M1} R(291,9396) { para( skol32, skol25
% 17.33/17.72 , skol32, skol25 ) }.
% 17.33/17.72 substitution0:
% 17.33/17.72 X := skol32
% 17.33/17.72 Y := skol25
% 17.33/17.72 Z := skol32
% 17.33/17.72 T := skol25
% 17.33/17.72 U := X
% 17.33/17.72 W := Y
% 17.33/17.72 end
% 17.33/17.72 substitution1:
% 17.33/17.72 end
% 17.33/17.72
% 17.33/17.72 subsumption: (44632) {G5,W9,D2,L1,V2,M1} R(770,16772) { eqangle( X, Y,
% 17.33/17.72 skol32, skol25, X, Y, skol32, skol25 ) }.
% 17.33/17.72 parent0: (54956) {G2,W9,D2,L1,V2,M1} { eqangle( X, Y, skol32, skol25, X, Y
% 17.33/17.72 , skol32, skol25 ) }.
% 17.33/17.72 substitution0:
% 17.33/17.72 X := X
% 17.33/17.72 Y := Y
% 17.33/17.72 end
% 17.33/17.72 permutation0:
% 17.33/17.72 0 ==> 0
% 17.33/17.72 end
% 17.33/17.72
% 17.33/17.72 resolution: (54957) {G2,W14,D2,L2,V1,M2} { cyclic( X, skol25, skol32,
% 17.33/17.72 skol32 ), ! eqangle( skol32, X, skol32, skol25, skol32, X, skol32, skol25
% 17.33/17.72 ) }.
% 17.33/17.72 parent0[0]: (839) {G1,W18,D2,L3,V4,M3} R(42,19) { ! coll( X, Y, Z ), cyclic
% 17.33/17.72 ( T, Z, X, Y ), ! eqangle( Y, T, Y, Z, X, T, X, Z ) }.
% 17.33/17.72 parent1[0]: (9434) {G11,W4,D2,L1,V0,M1} R(9420,446) { coll( skol32, skol32
% 17.33/17.72 , skol25 ) }.
% 17.33/17.72 substitution0:
% 17.33/17.72 X := skol32
% 17.33/17.72 Y := skol32
% 17.33/17.72 Z := skol25
% 17.33/17.72 T := X
% 17.33/17.72 end
% 17.33/17.72 substitution1:
% 17.33/17.72 end
% 17.33/17.72
% 17.33/17.72 resolution: (54958) {G3,W5,D2,L1,V1,M1} { cyclic( X, skol25, skol32,
% 17.33/17.72 skol32 ) }.
% 17.33/17.72 parent0[1]: (54957) {G2,W14,D2,L2,V1,M2} { cyclic( X, skol25, skol32,
% 17.33/17.72 skol32 ), ! eqangle( skol32, X, skol32, skol25, skol32, X, skol32, skol25
% 17.33/17.72 ) }.
% 17.33/17.72 parent1[0]: (44632) {G5,W9,D2,L1,V2,M1} R(770,16772) { eqangle( X, Y,
% 17.33/17.72 skol32, skol25, X, Y, skol32, skol25 ) }.
% 17.33/17.72 substitution0:
% 17.33/17.72 X := X
% 17.33/17.72 end
% 17.33/17.72 substitution1:
% 17.33/17.72 X := skol32
% 17.33/17.72 Y := X
% 17.33/17.72 end
% 17.33/17.72
% 17.33/17.72 subsumption: (49151) {G12,W5,D2,L1,V1,M1} R(839,9434);r(44632) { cyclic( X
% 17.33/17.72 , skol25, skol32, skol32 ) }.
% 17.33/17.72 parent0: (54958) {G3,W5,D2,L1,V1,M1} { cyclic( X, skol25, skol32, skol32 )
% 17.33/17.72 }.
% 17.33/17.72 substitution0:
% 17.33/17.72 X := X
% 17.33/17.72 end
% 17.33/17.72 permutation0:
% 17.33/17.72 0 ==> 0
% 17.33/17.72 end
% 17.33/17.72
% 17.33/17.72 resolution: (54959) {G2,W5,D2,L1,V1,M1} { cyclic( skol25, X, skol32,
% 17.33/17.72 skol32 ) }.
% 17.33/17.72 parent0[1]: (360) {G1,W10,D2,L2,V4,M2} R(15,13) { cyclic( X, Y, Z, T ), !
% 17.33/17.72 cyclic( Y, X, T, Z ) }.
% 17.33/17.72 parent1[0]: (49151) {G12,W5,D2,L1,V1,M1} R(839,9434);r(44632) { cyclic( X,
% 17.33/17.72 skol25, skol32, skol32 ) }.
% 17.33/17.72 substitution0:
% 17.33/17.72 X := skol25
% 17.33/17.72 Y := X
% 17.33/17.72 Z := skol32
% 17.33/17.72 T := skol32
% 17.33/17.72 end
% 17.33/17.72 substitution1:
% 17.33/17.72 X := X
% 17.33/17.72 end
% 17.33/17.72
% 17.33/17.72 subsumption: (49235) {G13,W5,D2,L1,V1,M1} R(49151,360) { cyclic( skol25, X
% 17.33/17.72 , skol32, skol32 ) }.
% 17.33/17.72 parent0: (54959) {G2,W5,D2,L1,V1,M1} { cyclic( skol25, X, skol32, skol32 )
% 17.33/17.72 }.
% 17.33/17.72 substitution0:
% 17.33/17.72 X := X
% 17.33/17.72 end
% 17.33/17.72 permutation0:
% 17.33/17.72 0 ==> 0
% 17.33/17.72 end
% 17.33/17.72
% 17.33/17.72 resolution: (54960) {G3,W5,D2,L1,V1,M1} { cyclic( skol32, X, skol32,
% 17.33/17.72 skol32 ) }.
% 17.33/17.72 parent0[0]: (386) {G2,W10,D2,L2,V4,M2} F(377) { ! cyclic( X, Y, Z, T ),
% 17.33/17.72 cyclic( Z, Y, T, T ) }.
% 17.33/17.72 parent1[0]: (49235) {G13,W5,D2,L1,V1,M1} R(49151,360) { cyclic( skol25, X,
% 17.33/17.72 skol32, skol32 ) }.
% 17.33/17.72 substitution0:
% 17.33/17.72 X := skol25
% 17.33/17.72 Y := X
% 17.33/17.72 Z := skol32
% 17.33/17.72 T := skol32
% 17.33/17.72 end
% 17.33/17.72 substitution1:
% 17.33/17.72 X := X
% 17.33/17.72 end
% 17.33/17.72
% 17.33/17.72 subsumption: (49247) {G14,W5,D2,L1,V1,M1} R(49235,386) { cyclic( skol32, X
% 17.33/17.72 , skol32, skol32 ) }.
% 17.33/17.72 parent0: (54960) {G3,W5,D2,L1,V1,M1} { cyclic( skol32, X, skol32, skol32 )
% 17.33/17.72 }.
% 17.33/17.72 substitution0:
% 17.33/17.72 X := X
% 17.33/17.72 end
% 17.33/17.72 permutation0:
% 17.33/17.72 0 ==> 0
% 17.33/17.72 end
% 17.33/17.72
% 17.33/17.72 resolution: (54961) {G2,W5,D2,L1,V1,M1} { cyclic( skol32, skol32, X,
% 17.33/17.72 skol32 ) }.
% 17.33/17.72 parent0[1]: (358) {G1,W10,D2,L2,V4,M2} R(15,14) { cyclic( X, Y, Z, T ), !
% 17.33/17.72 cyclic( Y, Z, X, T ) }.
% 17.33/17.72 parent1[0]: (49247) {G14,W5,D2,L1,V1,M1} R(49235,386) { cyclic( skol32, X,
% 17.33/17.72 skol32, skol32 ) }.
% 17.33/17.72 substitution0:
% 17.33/17.72 X := skol32
% 17.33/17.72 Y := skol32
% 17.33/17.72 Z := X
% 17.33/17.72 T := skol32
% 17.33/17.72 end
% 17.33/17.72 substitution1:
% 17.33/17.72 X := X
% 17.33/17.72 end
% 17.33/17.72
% 17.33/17.72 subsumption: (49269) {G15,W5,D2,L1,V1,M1} R(49247,358) { cyclic( skol32,
% 17.33/17.72 skol32, X, skol32 ) }.
% 17.33/17.72 parent0: (54961) {G2,W5,D2,L1,V1,M1} { cyclic( skol32, skol32, X, skol32 )
% 17.33/17.72 }.
% 17.33/17.72 substitution0:
% 17.33/17.72 X := X
% 17.33/17.72 end
% 17.33/17.72 permutation0:
% 17.33/17.72 0 ==> 0
% 17.33/17.72 end
% 17.33/17.72
% 17.33/17.72 resolution: (54962) {G2,W5,D2,L1,V1,M1} { cyclic( skol32, skol32, skol32,
% 17.33/17.72 X ) }.
% 17.33/17.72 parent0[0]: (348) {G1,W10,D2,L2,V4,M2} R(14,13) { ! cyclic( X, Y, Z, T ),
% 17.33/17.72 cyclic( X, Z, T, Y ) }.
% 17.33/17.72 parent1[0]: (49247) {G14,W5,D2,L1,V1,M1} R(49235,386) { cyclic( skol32, X,
% 17.33/17.72 skol32, skol32 ) }.
% 17.33/17.72 substitution0:
% 17.33/17.72 X := skol32
% 17.33/17.72 Y := X
% 17.33/17.72 Z := skol32
% 17.33/17.72 T := skol32
% 17.33/17.72 end
% 17.33/17.72 substitution1:
% 17.33/17.72 X := X
% 17.33/17.72 end
% 17.33/17.72
% 17.33/17.72 subsumption: (49270) {G15,W5,D2,L1,V1,M1} R(49247,348) { cyclic( skol32,
% 17.33/17.72 skol32, skol32, X ) }.
% 17.33/17.72 parent0: (54962) {G2,W5,D2,L1,V1,M1} { cyclic( skol32, skol32, skol32, X )
% 17.33/17.72 }.
% 17.33/17.72 substitution0:
% 17.33/17.72 X := X
% 17.33/17.72 end
% 17.33/17.72 permutation0:
% 17.33/17.72 0 ==> 0
% 17.33/17.72 end
% 17.33/17.72
% 17.33/17.72 resolution: (54964) {G2,W10,D2,L2,V2,M2} { ! cyclic( skol32, skol32,
% 17.33/17.72 skol32, X ), cyclic( skol32, skol32, X, Y ) }.
% 17.33/17.72 parent0[2]: (382) {G1,W15,D2,L3,V5,M3} R(16,13) { ! cyclic( X, Y, Z, T ),
% 17.33/17.72 cyclic( Y, Z, T, U ), ! cyclic( X, Y, U, Z ) }.
% 17.33/17.72 parent1[0]: (49269) {G15,W5,D2,L1,V1,M1} R(49247,358) { cyclic( skol32,
% 17.33/17.72 skol32, X, skol32 ) }.
% 17.33/17.72 substitution0:
% 17.33/17.72 X := skol32
% 17.33/17.72 Y := skol32
% 17.33/17.72 Z := skol32
% 17.33/17.72 T := X
% 17.33/17.72 U := Y
% 17.33/17.72 end
% 17.33/17.72 substitution1:
% 17.33/17.72 X := Y
% 17.33/17.72 end
% 17.33/17.72
% 17.33/17.72 resolution: (54965) {G3,W5,D2,L1,V2,M1} { cyclic( skol32, skol32, X, Y )
% 17.33/17.72 }.
% 17.33/17.72 parent0[0]: (54964) {G2,W10,D2,L2,V2,M2} { ! cyclic( skol32, skol32,
% 17.33/17.72 skol32, X ), cyclic( skol32, skol32, X, Y ) }.
% 17.33/17.72 parent1[0]: (49270) {G15,W5,D2,L1,V1,M1} R(49247,348) { cyclic( skol32,
% 17.33/17.72 skol32, skol32, X ) }.
% 17.33/17.72 substitution0:
% 17.33/17.72 X := X
% 17.33/17.72 Y := Y
% 17.33/17.72 end
% 17.33/17.72 substitution1:
% 17.33/17.72 X := X
% 17.33/17.72 end
% 17.33/17.72
% 17.33/17.72 subsumption: (49275) {G16,W5,D2,L1,V2,M1} R(49269,382);r(49270) { cyclic(
% 17.33/17.72 skol32, skol32, X, Y ) }.
% 17.33/17.72 parent0: (54965) {G3,W5,D2,L1,V2,M1} { cyclic( skol32, skol32, X, Y ) }.
% 17.33/17.72 substitution0:
% 17.33/17.72 X := X
% 17.33/17.72 Y := Y
% 17.33/17.72 end
% 17.33/17.72 permutation0:
% 17.33/17.72 0 ==> 0
% 17.33/17.72 end
% 17.33/17.72
% 17.33/17.72 resolution: (54966) {G2,W10,D2,L2,V3,M2} { cyclic( skol32, X, Y, Z ), !
% 17.33/17.72 cyclic( skol32, skol32, Z, X ) }.
% 17.33/17.72 parent0[0]: (382) {G1,W15,D2,L3,V5,M3} R(16,13) { ! cyclic( X, Y, Z, T ),
% 17.33/17.72 cyclic( Y, Z, T, U ), ! cyclic( X, Y, U, Z ) }.
% 17.33/17.72 parent1[0]: (49275) {G16,W5,D2,L1,V2,M1} R(49269,382);r(49270) { cyclic(
% 17.33/17.72 skol32, skol32, X, Y ) }.
% 17.33/17.72 substitution0:
% 17.33/17.72 X := skol32
% 17.33/17.72 Y := skol32
% 17.33/17.72 Z := X
% 17.33/17.72 T := Y
% 17.33/17.72 U := Z
% 17.33/17.72 end
% 17.33/17.72 substitution1:
% 17.33/17.72 X := X
% 17.33/17.72 Y := Y
% 17.33/17.72 end
% 17.33/17.72
% 17.33/17.72 resolution: (54968) {G3,W5,D2,L1,V3,M1} { cyclic( skol32, X, Y, Z ) }.
% 17.33/17.72 parent0[1]: (54966) {G2,W10,D2,L2,V3,M2} { cyclic( skol32, X, Y, Z ), !
% 17.33/17.72 cyclic( skol32, skol32, Z, X ) }.
% 17.33/17.72 parent1[0]: (49275) {G16,W5,D2,L1,V2,M1} R(49269,382);r(49270) { cyclic(
% 17.33/17.72 skol32, skol32, X, Y ) }.
% 17.33/17.72 substitution0:
% 17.33/17.72 X := X
% 17.33/17.72 Y := Y
% 17.33/17.72 Z := Z
% 17.33/17.72 end
% 17.33/17.72 substitution1:
% 17.33/17.72 X := Z
% 17.33/17.72 Y := X
% 17.33/17.72 end
% 17.33/17.72
% 17.33/17.72 subsumption: (49637) {G17,W5,D2,L1,V3,M1} R(49275,382);r(49275) { cyclic(
% 17.33/17.72 skol32, X, Y, Z ) }.
% 17.33/17.72 parent0: (54968) {G3,W5,D2,L1,V3,M1} { cyclic( skol32, X, Y, Z ) }.
% 17.33/17.72 substitution0:
% 17.33/17.72 X := X
% 17.33/17.72 Y := Y
% 17.33/17.72 Z := Z
% 17.33/17.72 end
% 17.33/17.72 permutation0:
% 17.33/17.72 0 ==> 0
% 17.33/17.72 end
% 17.33/17.72
% 17.33/17.72 resolution: (54969) {G2,W10,D2,L2,V4,M2} { cyclic( X, Y, Z, T ), ! cyclic
% 17.33/17.72 ( skol32, X, T, Y ) }.
% 17.33/17.72 parent0[0]: (382) {G1,W15,D2,L3,V5,M3} R(16,13) { ! cyclic( X, Y, Z, T ),
% 17.33/17.72 cyclic( Y, Z, T, U ), ! cyclic( X, Y, U, Z ) }.
% 17.33/17.72 parent1[0]: (49637) {G17,W5,D2,L1,V3,M1} R(49275,382);r(49275) { cyclic(
% 17.33/17.72 skol32, X, Y, Z ) }.
% 17.33/17.72 substitution0:
% 17.33/17.72 X := skol32
% 17.33/17.72 Y := X
% 17.33/17.72 Z := Y
% 17.33/17.72 T := Z
% 17.33/17.72 U := T
% 17.33/17.72 end
% 17.33/17.72 substitution1:
% 17.33/17.72 X := X
% 17.33/17.72 Y := Y
% 17.33/17.72 Z := Z
% 17.33/17.72 end
% 17.33/17.72
% 17.33/17.72 resolution: (54971) {G3,W5,D2,L1,V4,M1} { cyclic( X, Y, Z, T ) }.
% 17.33/17.72 parent0[1]: (54969) {G2,W10,D2,L2,V4,M2} { cyclic( X, Y, Z, T ), ! cyclic
% 17.33/17.72 ( skol32, X, T, Y ) }.
% 17.33/17.72 parent1[0]: (49637) {G17,W5,D2,L1,V3,M1} R(49275,382);r(49275) { cyclic(
% 17.33/17.72 skol32, X, Y, Z ) }.
% 17.33/17.72 substitution0:
% 17.33/17.72 X := X
% 17.33/17.72 Y := Y
% 17.33/17.72 Z := Z
% 17.33/17.72 T := T
% 17.33/17.72 end
% 17.33/17.72 substitution1:
% 17.33/17.72 X := X
% 17.33/17.72 Y := T
% 17.33/17.72 Z := Y
% 17.33/17.72 end
% 17.33/17.72
% 17.33/17.72 subsumption: (49656) {G18,W5,D2,L1,V4,M1} R(49637,382);r(49637) { cyclic( X
% 17.33/17.72 , Y, Z, T ) }.
% 17.33/17.72 parent0: (54971) {G3,W5,D2,L1,V4,M1} { cyclic( X, Y, Z, T ) }.
% 17.33/17.72 substitution0:
% 17.33/17.72 X := X
% 17.33/17.72 Y := Y
% 17.33/17.72 Z := Z
% 17.33/17.72 T := T
% 17.33/17.72 end
% 17.33/17.72 permutation0:
% 17.33/17.72 0 ==> 0
% 17.33/17.72 end
% 17.33/17.72
% 17.33/17.72 resolution: (54974) {G3,W10,D2,L2,V3,M2} { ! cyclic( X, Y, Z, Y ), cong( X
% 17.33/17.72 , Y, X, Y ) }.
% 17.33/17.72 parent0[0]: (946) {G2,W15,D2,L3,V3,M3} F(914) { ! cyclic( X, Y, Z, X ), !
% 17.33/17.72 cyclic( X, Y, Z, Y ), cong( X, Y, X, Y ) }.
% 17.33/17.72 parent1[0]: (49656) {G18,W5,D2,L1,V4,M1} R(49637,382);r(49637) { cyclic( X
% 17.33/17.72 , Y, Z, T ) }.
% 17.33/17.72 substitution0:
% 17.33/17.72 X := X
% 17.33/17.72 Y := Y
% 17.33/17.72 Z := Z
% 17.33/17.72 end
% 17.33/17.72 substitution1:
% 17.33/17.72 X := X
% 17.33/17.72 Y := Y
% 17.33/17.72 Z := Z
% 17.33/17.72 T := X
% 17.33/17.72 end
% 17.33/17.72
% 17.33/17.72 resolution: (54976) {G4,W5,D2,L1,V2,M1} { cong( X, Y, X, Y ) }.
% 17.33/17.72 parent0[0]: (54974) {G3,W10,D2,L2,V3,M2} { ! cyclic( X, Y, Z, Y ), cong( X
% 17.33/17.72 , Y, X, Y ) }.
% 17.33/17.72 parent1[0]: (49656) {G18,W5,D2,L1,V4,M1} R(49637,382);r(49637) { cyclic( X
% 17.33/17.72 , Y, Z, T ) }.
% 17.33/17.72 substitution0:
% 17.33/17.72 X := X
% 17.33/17.72 Y := Y
% 17.33/17.72 Z := Z
% 17.33/17.72 end
% 17.33/17.72 substitution1:
% 17.33/17.72 X := X
% 17.33/17.72 Y := Y
% 17.33/17.72 Z := Z
% 17.33/17.72 T := Y
% 17.33/17.72 end
% 17.33/17.72
% 17.33/17.72 subsumption: (54172) {G19,W5,D2,L1,V2,M1} S(946);r(49656);r(49656) { cong(
% 17.33/17.72 X, Y, X, Y ) }.
% 17.33/17.72 parent0: (54976) {G4,W5,D2,L1,V2,M1} { cong( X, Y, X, Y ) }.
% 17.33/17.72 substitution0:
% 17.33/17.72 X := X
% 17.33/17.72 Y := Y
% 17.33/17.72 end
% 17.33/17.72 permutation0:
% 17.33/17.72 0 ==> 0
% 17.33/17.72 end
% 17.33/17.72
% 17.33/17.72 resolution: (54977) {G1,W10,D2,L2,V3,M2} { ! cong( X, Z, X, Z ), perp( X,
% 17.33/17.72 X, Y, Z ) }.
% 17.33/17.72 parent0[0]: (56) {G0,W15,D2,L3,V4,M3} I { ! cong( X, Z, Y, Z ), ! cong( X,
% 17.33/17.72 T, Y, T ), perp( X, Y, Z, T ) }.
% 17.33/17.72 parent1[0]: (54172) {G19,W5,D2,L1,V2,M1} S(946);r(49656);r(49656) { cong( X
% 17.33/17.72 , Y, X, Y ) }.
% 17.33/17.72 substitution0:
% 17.33/17.72 X := X
% 17.33/17.72 Y := X
% 17.33/17.72 Z := Y
% 17.33/17.72 T := Z
% 17.33/17.72 end
% 17.33/17.72 substitution1:
% 17.33/17.72 X := X
% 17.33/17.72 Y := Y
% 17.33/17.72 end
% 17.33/17.72
% 17.33/17.72 resolution: (54979) {G2,W5,D2,L1,V3,M1} { perp( X, X, Z, Y ) }.
% 17.33/17.72 parent0[0]: (54977) {G1,W10,D2,L2,V3,M2} { ! cong( X, Z, X, Z ), perp( X,
% 17.33/17.72 X, Y, Z ) }.
% 17.33/17.72 parent1[0]: (54172) {G19,W5,D2,L1,V2,M1} S(946);r(49656);r(49656) { cong( X
% 17.33/17.72 , Y, X, Y ) }.
% 17.33/17.72 substitution0:
% 17.33/17.72 X := X
% 17.33/17.72 Y := Z
% 17.33/17.72 Z := Y
% 17.33/17.72 end
% 17.33/17.72 substitution1:
% 17.33/17.72 X := X
% 17.33/17.72 Y := Y
% 17.33/17.72 end
% 17.33/17.72
% 17.33/17.72 subsumption: (54189) {G20,W5,D2,L1,V3,M1} R(54172,56);r(54172) { perp( X, X
% 17.33/17.72 , Z, Y ) }.
% 17.33/17.72 parent0: (54979) {G2,W5,D2,L1,V3,M1} { perp( X, X, Z, Y ) }.
% 17.33/17.72 substitution0:
% 17.33/17.72 X := X
% 17.33/17.72 Y := Y
% 17.33/17.72 Z := Z
% 17.33/17.72 end
% 17.33/17.72 permutation0:
% 17.33/17.72 0 ==> 0
% 17.33/17.72 end
% 17.33/17.72
% 17.33/17.72 resolution: (54980) {G2,W10,D2,L2,V5,M2} { para( T, U, Y, Z ), ! perp( X,
% 17.33/17.72 X, T, U ) }.
% 17.33/17.72 parent0[0]: (272) {G1,W15,D2,L3,V6,M3} R(8,7) { ! perp( X, Y, Z, T ), para
% 17.33/17.72 ( U, W, Z, T ), ! perp( X, Y, U, W ) }.
% 17.33/17.72 parent1[0]: (54189) {G20,W5,D2,L1,V3,M1} R(54172,56);r(54172) { perp( X, X
% 17.33/17.72 , Z, Y ) }.
% 17.33/17.72 substitution0:
% 17.33/17.72 X := X
% 17.33/17.72 Y := X
% 17.33/17.72 Z := Y
% 17.33/17.72 T := Z
% 17.33/17.72 U := T
% 17.33/17.72 W := U
% 17.33/17.72 end
% 17.33/17.72 substitution1:
% 17.33/17.72 X := X
% 17.33/17.72 Y := Z
% 17.33/17.72 Z := Y
% 17.33/17.72 end
% 17.33/17.72
% 17.33/17.72 resolution: (54982) {G3,W5,D2,L1,V4,M1} { para( X, Y, Z, T ) }.
% 17.33/17.72 parent0[1]: (54980) {G2,W10,D2,L2,V5,M2} { para( T, U, Y, Z ), ! perp( X,
% 17.33/17.72 X, T, U ) }.
% 17.33/17.72 parent1[0]: (54189) {G20,W5,D2,L1,V3,M1} R(54172,56);r(54172) { perp( X, X
% 17.33/17.72 , Z, Y ) }.
% 17.33/17.72 substitution0:
% 17.33/17.72 X := U
% 17.33/17.72 Y := Z
% 17.33/17.72 Z := T
% 17.33/17.72 T := X
% 17.33/17.72 U := Y
% 17.33/17.72 end
% 17.33/17.72 substitution1:
% 17.33/17.72 X := U
% 17.33/17.72 Y := Y
% 17.33/17.72 Z := X
% 17.33/17.72 end
% 17.33/17.72
% 17.33/17.72 subsumption: (54222) {G21,W5,D2,L1,V4,M1} R(54189,272);r(54189) { para( X,
% 17.33/17.72 Y, Z, T ) }.
% 17.33/17.72 parent0: (54982) {G3,W5,D2,L1,V4,M1} { para( X, Y, Z, T ) }.
% 17.33/17.72 substitution0:
% 17.33/17.72 X := X
% 17.33/17.72 Y := Y
% 17.33/17.72 Z := Z
% 17.33/17.72 T := T
% 17.33/17.72 end
% 17.33/17.72 permutation0:
% 17.33/17.72 0 ==> 0
% 17.33/17.72 end
% 17.33/17.72
% 17.33/17.72 resolution: (54983) {G3,W5,D2,L1,V2,M1} { ! para( X, Y, skol24, skol20 )
% 17.33/17.72 }.
% 17.33/17.72 parent0[0]: (234) {G2,W10,D2,L2,V2,M2} R(214,5) { ! para( skol23, skol22, X
% 17.33/17.72 , Y ), ! para( X, Y, skol24, skol20 ) }.
% 17.33/17.72 parent1[0]: (54222) {G21,W5,D2,L1,V4,M1} R(54189,272);r(54189) { para( X, Y
% 17.33/17.72 , Z, T ) }.
% 17.33/17.72 substitution0:
% 17.33/17.72 X := X
% 17.33/17.72 Y := Y
% 17.33/17.72 end
% 17.33/17.72 substitution1:
% 17.33/17.72 X := skol23
% 17.33/17.72 Y := skol22
% 17.33/17.72 Z := X
% 17.33/17.72 T := Y
% 17.33/17.72 end
% 17.33/17.72
% 17.33/17.72 resolution: (54985) {G4,W0,D0,L0,V0,M0} { }.
% 17.33/17.72 parent0[0]: (54983) {G3,W5,D2,L1,V2,M1} { ! para( X, Y, skol24, skol20 )
% 17.33/17.72 }.
% 17.33/17.72 parent1[0]: (54222) {G21,W5,D2,L1,V4,M1} R(54189,272);r(54189) { para( X, Y
% 17.33/17.72 , Z, T ) }.
% 17.33/17.72 substitution0:
% 17.33/17.72 X := X
% 17.33/17.72 Y := Y
% 17.33/17.72 end
% 17.33/17.72 substitution1:
% 17.33/17.72 X := X
% 17.33/17.72 Y := Y
% 17.33/17.72 Z := skol24
% 17.33/17.72 T := skol20
% 17.33/17.72 end
% 17.33/17.72
% 17.33/17.72 subsumption: (54401) {G22,W0,D0,L0,V0,M0} R(54222,234);r(54222) { }.
% 17.33/17.72 parent0: (54985) {G4,W0,D0,L0,V0,M0} { }.
% 17.33/17.72 substitution0:
% 17.33/17.72 end
% 17.33/17.72 permutation0:
% 17.33/17.72 end
% 17.33/17.72
% 17.33/17.72 Proof check complete!
% 17.33/17.72
% 17.33/17.72 Memory use:
% 17.33/17.72
% 17.33/17.72 space for terms: 755864
% 17.33/17.72 space for clauses: 2344193
% 17.33/17.72
% 17.33/17.72
% 17.33/17.72 clauses generated: 430393
% 17.33/17.72 clauses kept: 54402
% 17.33/17.72 clauses selected: 3036
% 17.33/17.72 clauses deleted: 7364
% 17.33/17.72 clauses inuse deleted: 183
% 17.33/17.72
% 17.33/17.72 subsentry: 21982892
% 17.33/17.72 literals s-matched: 14696814
% 17.33/17.72 literals matched: 8601294
% 17.33/17.72 full subsumption: 2402966
% 17.33/17.72
% 17.33/17.72 checksum: -232891122
% 17.33/17.72
% 17.33/17.72
% 17.33/17.72 Bliksem ended
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