TSTP Solution File: GEO614+1 by Bliksem---1.12
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- Process Solution
%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : GEO614+1 : TPTP v8.1.0. Released v7.5.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n010.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 02:55:06 EDT 2022
% Result : Theorem 3.81s 4.23s
% Output : Refutation 3.81s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12 % Problem : GEO614+1 : TPTP v8.1.0. Released v7.5.0.
% 0.04/0.13 % Command : bliksem %s
% 0.12/0.34 % Computer : n010.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % DateTime : Sat Jun 18 12:11:23 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.72/1.13 *** allocated 10000 integers for termspace/termends
% 0.72/1.13 *** allocated 10000 integers for clauses
% 0.72/1.13 *** allocated 10000 integers for justifications
% 0.72/1.13 Bliksem 1.12
% 0.72/1.13
% 0.72/1.13
% 0.72/1.13 Automatic Strategy Selection
% 0.72/1.13
% 0.72/1.13 *** allocated 15000 integers for termspace/termends
% 0.72/1.13
% 0.72/1.13 Clauses:
% 0.72/1.13
% 0.72/1.13 { ! coll( X, Y, Z ), coll( X, Z, Y ) }.
% 0.72/1.13 { ! coll( X, Y, Z ), coll( Y, X, Z ) }.
% 0.72/1.13 { ! coll( X, T, Y ), ! coll( X, T, Z ), coll( Y, Z, X ) }.
% 0.72/1.13 { ! para( X, Y, Z, T ), para( X, Y, T, Z ) }.
% 0.72/1.13 { ! para( X, Y, Z, T ), para( Z, T, X, Y ) }.
% 0.72/1.13 { ! para( X, Y, U, W ), ! para( U, W, Z, T ), para( X, Y, Z, T ) }.
% 0.72/1.13 { ! perp( X, Y, Z, T ), perp( X, Y, T, Z ) }.
% 0.72/1.13 { ! perp( X, Y, Z, T ), perp( Z, T, X, Y ) }.
% 0.72/1.13 { ! perp( X, Y, U, W ), ! perp( U, W, Z, T ), para( X, Y, Z, T ) }.
% 0.72/1.13 { ! para( X, Y, U, W ), ! perp( U, W, Z, T ), perp( X, Y, Z, T ) }.
% 0.72/1.13 { ! midp( Z, Y, X ), midp( Z, X, Y ) }.
% 0.72/1.13 { ! cong( T, X, T, Y ), ! cong( T, X, T, Z ), circle( T, X, Y, Z ) }.
% 0.72/1.13 { ! cong( U, X, U, Y ), ! cong( U, X, U, Z ), ! cong( U, X, U, T ), cyclic
% 0.72/1.13 ( X, Y, Z, T ) }.
% 0.72/1.13 { ! cyclic( X, Y, Z, T ), cyclic( X, Y, T, Z ) }.
% 0.72/1.13 { ! cyclic( X, Y, Z, T ), cyclic( X, Z, Y, T ) }.
% 0.72/1.13 { ! cyclic( X, Y, Z, T ), cyclic( Y, X, Z, T ) }.
% 0.72/1.13 { ! cyclic( U, X, Y, Z ), ! cyclic( U, X, Y, T ), cyclic( X, Y, Z, T ) }.
% 0.72/1.13 { ! eqangle( X, Y, Z, T, U, W, V0, V1 ), eqangle( Y, X, Z, T, U, W, V0, V1
% 0.72/1.13 ) }.
% 0.72/1.13 { ! eqangle( X, Y, Z, T, U, W, V0, V1 ), eqangle( Z, T, X, Y, V0, V1, U, W
% 0.72/1.13 ) }.
% 0.72/1.13 { ! eqangle( X, Y, Z, T, U, W, V0, V1 ), eqangle( U, W, V0, V1, X, Y, Z, T
% 0.72/1.13 ) }.
% 0.72/1.13 { ! eqangle( X, Y, Z, T, U, W, V0, V1 ), eqangle( X, Y, U, W, Z, T, V0, V1
% 0.72/1.13 ) }.
% 0.72/1.13 { ! eqangle( X, Y, Z, T, V2, V3, V4, V5 ), ! eqangle( V2, V3, V4, V5, U, W
% 0.72/1.13 , V0, V1 ), eqangle( X, Y, Z, T, U, W, V0, V1 ) }.
% 0.72/1.13 { ! cong( X, Y, Z, T ), cong( X, Y, T, Z ) }.
% 0.72/1.13 { ! cong( X, Y, Z, T ), cong( Z, T, X, Y ) }.
% 0.72/1.13 { ! cong( X, Y, U, W ), ! cong( U, W, Z, T ), cong( X, Y, Z, T ) }.
% 0.72/1.13 { ! eqratio( X, Y, Z, T, U, W, V0, V1 ), eqratio( Y, X, Z, T, U, W, V0, V1
% 0.72/1.13 ) }.
% 0.72/1.13 { ! eqratio( X, Y, Z, T, U, W, V0, V1 ), eqratio( Z, T, X, Y, V0, V1, U, W
% 0.72/1.13 ) }.
% 0.72/1.13 { ! eqratio( X, Y, Z, T, U, W, V0, V1 ), eqratio( U, W, V0, V1, X, Y, Z, T
% 0.72/1.13 ) }.
% 0.72/1.13 { ! eqratio( X, Y, Z, T, U, W, V0, V1 ), eqratio( X, Y, U, W, Z, T, V0, V1
% 0.72/1.13 ) }.
% 0.72/1.13 { ! eqratio( X, Y, Z, T, V2, V3, V4, V5 ), ! eqratio( V2, V3, V4, V5, U, W
% 0.72/1.13 , V0, V1 ), eqratio( X, Y, Z, T, U, W, V0, V1 ) }.
% 0.72/1.13 { ! simtri( X, Z, Y, T, W, U ), simtri( X, Y, Z, T, U, W ) }.
% 0.72/1.13 { ! simtri( Y, X, Z, U, T, W ), simtri( X, Y, Z, T, U, W ) }.
% 0.72/1.13 { ! simtri( T, U, W, X, Y, Z ), simtri( X, Y, Z, T, U, W ) }.
% 0.72/1.13 { ! simtri( X, Y, Z, V0, V1, V2 ), ! simtri( V0, V1, V2, T, U, W ), simtri
% 0.72/1.13 ( X, Y, Z, T, U, W ) }.
% 0.72/1.13 { ! contri( X, Z, Y, T, W, U ), contri( X, Y, Z, T, U, W ) }.
% 0.72/1.13 { ! contri( Y, X, Z, U, T, W ), contri( X, Y, Z, T, U, W ) }.
% 0.72/1.13 { ! contri( T, U, W, X, Y, Z ), contri( X, Y, Z, T, U, W ) }.
% 0.72/1.13 { ! contri( X, Y, Z, V0, V1, V2 ), ! contri( V0, V1, V2, T, U, W ), contri
% 0.72/1.13 ( X, Y, Z, T, U, W ) }.
% 0.72/1.13 { ! eqangle( X, Y, U, W, Z, T, U, W ), para( X, Y, Z, T ) }.
% 0.72/1.13 { ! para( X, Y, Z, T ), eqangle( X, Y, U, W, Z, T, U, W ) }.
% 0.72/1.13 { ! cyclic( X, Y, Z, T ), eqangle( Z, X, Z, Y, T, X, T, Y ) }.
% 0.72/1.13 { ! eqangle( Z, X, Z, Y, T, X, T, Y ), coll( Z, T, X ), cyclic( X, Y, Z, T
% 0.72/1.13 ) }.
% 0.72/1.13 { ! eqangle( Z, X, Z, Y, T, X, T, Y ), ! coll( Z, T, Y ), cyclic( X, Y, Z,
% 0.72/1.13 T ) }.
% 0.72/1.13 { ! cyclic( X, Y, U, Z ), ! cyclic( X, Y, U, T ), ! cyclic( X, Y, U, W ), !
% 0.72/1.13 eqangle( U, X, U, Y, W, Z, W, T ), cong( X, Y, Z, T ) }.
% 0.72/1.13 { ! midp( Z, U, X ), ! midp( T, U, Y ), para( Z, T, X, Y ) }.
% 0.72/1.13 { ! midp( U, X, T ), ! para( U, Z, T, Y ), ! coll( Z, X, Y ), midp( Z, X, Y
% 0.72/1.13 ) }.
% 0.72/1.13 { ! cong( Z, X, Z, Y ), eqangle( Z, X, X, Y, X, Y, Z, Y ) }.
% 0.72/1.13 { ! eqangle( Z, X, X, Y, X, Y, Z, Y ), coll( Z, X, Y ), cong( Z, X, Z, Y )
% 0.72/1.13 }.
% 0.72/1.13 { ! circle( U, X, Y, Z ), ! perp( U, X, X, T ), eqangle( X, T, X, Y, Z, X,
% 0.72/1.13 Z, Y ) }.
% 0.72/1.13 { ! circle( Y, X, T, U ), ! eqangle( X, Z, X, T, U, X, U, T ), perp( Y, X,
% 0.72/1.13 X, Z ) }.
% 0.72/1.13 { ! circle( T, X, Y, Z ), ! midp( U, Y, Z ), eqangle( X, Y, X, Z, T, Y, T,
% 0.72/1.13 U ) }.
% 0.72/1.13 { ! circle( U, T, X, Y ), ! coll( Z, X, Y ), ! eqangle( T, X, T, Y, U, X, U
% 0.72/1.13 , Z ), midp( Z, X, Y ) }.
% 0.72/1.13 { ! perp( X, Y, Y, T ), ! midp( Z, X, T ), cong( X, Z, Y, Z ) }.
% 0.72/1.13 { ! circle( T, X, Y, Z ), ! coll( T, X, Z ), perp( X, Y, Y, Z ) }.
% 0.72/1.13 { ! cyclic( X, Y, Z, T ), ! para( X, Y, Z, T ), eqangle( X, T, Z, T, Z, T,
% 0.72/1.13 Z, Y ) }.
% 0.72/1.13 { ! midp( T, X, Y ), ! perp( Z, T, X, Y ), cong( Z, X, Z, Y ) }.
% 0.72/1.13 { ! cong( X, Z, Y, Z ), ! cong( X, T, Y, T ), perp( X, Y, Z, T ) }.
% 0.72/1.13 { ! cong( X, Y, T, Y ), ! cong( X, Z, T, Z ), ! cyclic( X, T, Y, Z ), perp
% 0.72/1.13 ( Y, X, X, Z ) }.
% 0.72/1.13 { ! eqangle( X, Y, Y, Z, T, U, U, W ), ! eqangle( X, Z, Y, Z, T, W, U, W )
% 0.72/1.13 , coll( X, Y, Z ), simtri( X, Y, Z, T, U, W ) }.
% 0.72/1.13 { ! simtri( X, Y, Z, T, U, W ), eqratio( X, Y, X, Z, T, U, T, W ) }.
% 0.72/1.13 { ! simtri( X, Y, Z, T, U, W ), eqangle( X, Y, Y, Z, T, U, U, W ) }.
% 0.72/1.13 { ! simtri( X, Y, Z, T, U, W ), ! cong( X, Y, T, U ), contri( X, Y, Z, T, U
% 0.72/1.13 , W ) }.
% 0.72/1.13 { ! contri( X, Y, U, Z, T, W ), cong( X, Y, Z, T ) }.
% 0.72/1.13 { ! midp( U, X, Y ), ! midp( U, Z, T ), para( X, Z, Y, T ) }.
% 0.72/1.13 { ! midp( Z, T, U ), ! para( T, X, U, Y ), ! para( T, Y, U, X ), midp( Z, X
% 0.72/1.13 , Y ) }.
% 0.72/1.13 { ! para( X, Y, Z, T ), ! coll( U, X, Z ), ! coll( U, Y, T ), eqratio( U, X
% 0.72/1.13 , X, Z, U, Y, Y, T ) }.
% 0.72/1.13 { ! para( X, Y, X, Z ), coll( X, Y, Z ) }.
% 0.72/1.13 { ! cong( X, Y, X, Z ), ! coll( X, Y, Z ), midp( X, Y, Z ) }.
% 0.72/1.13 { ! midp( X, Y, Z ), cong( X, Y, X, Z ) }.
% 0.72/1.13 { ! midp( X, Y, Z ), coll( X, Y, Z ) }.
% 0.72/1.13 { ! midp( U, X, Y ), ! midp( W, Z, T ), eqratio( U, X, X, Y, W, Z, Z, T ) }
% 0.72/1.13 .
% 0.72/1.13 { ! eqangle( X, Y, Z, T, Z, T, X, Y ), para( X, Y, Z, T ), perp( X, Y, Z, T
% 0.72/1.13 ) }.
% 0.72/1.13 { ! eqangle( X, Y, Z, T, Z, T, X, Y ), perp( X, Y, Z, T ), para( X, Y, Z, T
% 0.72/1.13 ) }.
% 0.72/1.13 { ! eqangle( X, Y, Z, T, U, W, V0, V1 ), ! para( U, W, V0, V1 ), para( X, Y
% 0.72/1.13 , Z, T ) }.
% 0.72/1.13 { ! eqangle( X, Y, Z, T, U, W, V0, V1 ), ! perp( U, W, V0, V1 ), perp( X, Y
% 0.72/1.13 , Z, T ) }.
% 0.72/1.13 { ! eqratio( X, Y, Z, T, U, W, V0, V1 ), ! cong( U, W, V0, V1 ), cong( X, Y
% 0.72/1.13 , Z, T ) }.
% 0.72/1.13 { ! perp( Z, Y, Y, X ), ! eqangle( T, Z, Y, Z, Y, Z, X, Z ), coll( skol1( U
% 0.72/1.13 , W, Z, T ), Z, T ) }.
% 0.72/1.13 { ! perp( Z, Y, Y, X ), ! eqangle( T, Z, Y, Z, Y, Z, X, Z ), coll( skol1( X
% 0.72/1.13 , Y, Z, T ), X, Y ) }.
% 0.72/1.13 { ! cong( Z, X, Z, Y ), ! eqangle( X, Z, Z, T, Z, T, Z, Y ), coll( skol2( U
% 0.72/1.13 , W, Z, T ), Z, T ) }.
% 0.72/1.13 { ! cong( Z, X, Z, Y ), ! eqangle( X, Z, Z, T, Z, T, Z, Y ), coll( Y, X,
% 0.72/1.13 skol2( X, Y, Z, T ) ) }.
% 0.72/1.13 { ! perp( Z, T, X, Y ), ! eqangle( X, Z, Z, T, Z, T, Z, Y ), coll( skol3( U
% 0.72/1.13 , W, Z, T ), Z, T ) }.
% 0.72/1.13 { ! perp( Z, T, X, Y ), ! eqangle( X, Z, Z, T, Z, T, Z, Y ), coll( Y, X,
% 0.72/1.13 skol3( X, Y, Z, T ) ) }.
% 0.72/1.13 { ! perp( Z, T, X, Y ), ! cong( Z, X, Z, Y ), coll( skol4( U, W, Z, T ), Z
% 0.72/1.13 , T ) }.
% 0.72/1.13 { ! perp( Z, T, X, Y ), ! cong( Z, X, Z, Y ), coll( Y, X, skol4( X, Y, Z, T
% 0.72/1.13 ) ) }.
% 0.72/1.13 { ! eqangle( X, Z, Y, Z, X, T, Y, U ), coll( X, Y, Z ), cyclic( T, Y, Z,
% 0.72/1.13 skol5( W, Y, Z, T ) ) }.
% 0.72/1.13 { ! eqangle( X, Z, Y, Z, X, T, Y, U ), coll( X, Y, Z ), eqangle( X, Z, Y, Z
% 0.72/1.13 , X, skol5( X, Y, Z, T ), Y, skol5( X, Y, Z, T ) ) }.
% 0.72/1.13 { ! midp( U, X, Y ), ! midp( W, Z, T ), midp( skol6( X, V0, V1, T, V2, V3 )
% 0.72/1.13 , X, T ) }.
% 0.72/1.13 { ! midp( U, X, Y ), ! midp( W, Z, T ), para( skol6( X, V0, Z, T, V1, W ),
% 0.72/1.13 W, X, Z ) }.
% 0.72/1.13 { ! midp( U, X, Y ), ! midp( W, Z, T ), para( skol6( X, Y, Z, T, U, W ), U
% 0.72/1.13 , Y, T ) }.
% 0.72/1.13 { ! midp( Z, X, Y ), ! midp( W, T, U ), ! coll( T, X, Y ), ! coll( U, X, Y
% 0.72/1.13 ), midp( skol7( X, V0 ), X, V0 ) }.
% 0.72/1.13 { ! midp( T, X, U ), ! para( X, W, Z, T ), ! para( X, W, U, Y ), ! coll( W
% 0.72/1.13 , Y, Z ), coll( skol8( V0, V1, Z, T ), T, Z ) }.
% 0.72/1.13 { ! midp( T, X, U ), ! para( X, W, Z, T ), ! para( X, W, U, Y ), ! coll( W
% 0.72/1.13 , Y, Z ), coll( skol8( X, Y, Z, T ), X, Y ) }.
% 0.72/1.13 { ! cong( T, Z, T, U ), ! perp( X, Y, Y, T ), cong( T, Z, T, skol9( W, V0,
% 0.72/1.13 Z, T ) ) }.
% 0.72/1.13 { ! cong( T, Z, T, U ), ! perp( X, Y, Y, T ), cong( Y, Z, Y, skol9( W, Y, Z
% 0.72/1.13 , T ) ) }.
% 0.72/1.13 { ! cong( T, Z, T, U ), ! perp( X, Y, Y, T ), para( skol9( X, Y, Z, T ), Z
% 0.72/1.13 , X, Y ) }.
% 0.72/1.13 { ! perp( X, T, Y, Z ), ! perp( Y, T, X, Z ), coll( skol10( U, Y, Z ), Z, Y
% 0.72/1.13 ) }.
% 0.72/1.13 { ! perp( X, T, Y, Z ), ! perp( Y, T, X, Z ), perp( X, skol10( X, Y, Z ), Z
% 0.72/1.13 , Y ) }.
% 0.72/1.13 { ! perp( X, T, Y, Z ), ! perp( Y, T, X, Z ), alpha1( X, Y, Z ) }.
% 0.72/1.13 { ! alpha1( X, Y, Z ), coll( skol11( X, T, Z ), Z, X ) }.
% 0.72/1.13 { ! alpha1( X, Y, Z ), perp( Y, skol11( X, Y, Z ), Z, X ) }.
% 0.72/1.13 { ! coll( T, Z, X ), ! perp( Y, T, Z, X ), alpha1( X, Y, Z ) }.
% 0.72/1.13 { ! circle( Y, X, Z, T ), perp( skol12( X, Y ), X, X, Y ) }.
% 3.70/4.11 { ! circle( W, X, Y, Z ), ! cong( W, X, W, T ), ! cong( U, X, U, Y ), W = U
% 3.70/4.11 , alpha2( X, Z, U, skol13( X, V0, Z, V1, U ) ) }.
% 3.70/4.11 { ! circle( W, X, Y, Z ), ! cong( W, X, W, T ), ! cong( U, X, U, Y ), W = U
% 3.70/4.11 , coll( skol21( V0, Y, T, V1 ), Y, T ) }.
% 3.70/4.11 { ! circle( W, X, Y, Z ), ! cong( W, X, W, T ), ! cong( U, X, U, Y ), W = U
% 3.70/4.11 , cong( skol21( X, Y, T, U ), U, U, X ) }.
% 3.70/4.11 { ! alpha2( X, Y, Z, T ), coll( T, X, Y ) }.
% 3.70/4.11 { ! alpha2( X, Y, Z, T ), cong( T, Z, Z, X ) }.
% 3.70/4.11 { ! coll( T, X, Y ), ! cong( T, Z, Z, X ), alpha2( X, Y, Z, T ) }.
% 3.70/4.11 { ! cyclic( X, Y, Z, T ), ! para( X, Y, Z, T ), ! midp( U, X, Y ), circle(
% 3.70/4.11 skol14( X, Y, Z ), X, Y, Z ) }.
% 3.70/4.11 { ! perp( X, Z, Z, Y ), ! cyclic( X, Y, Z, T ), circle( skol15( X, Y, Z ),
% 3.70/4.11 X, Y, Z ) }.
% 3.70/4.11 { ! perp( X, U, U, T ), ! coll( T, Y, Z ), coll( skol16( W, Y, Z ), Y, Z )
% 3.70/4.11 }.
% 3.70/4.11 { ! perp( X, U, U, T ), ! coll( T, Y, Z ), perp( skol16( X, Y, Z ), X, Y, Z
% 3.70/4.11 ) }.
% 3.70/4.11 { ! perp( X, Z, X, Y ), ! perp( Y, X, Y, T ), ! midp( U, Z, T ), midp(
% 3.70/4.11 skol17( X, Y ), X, Y ) }.
% 3.70/4.11 { ! cong( Y, X, Y, Z ), ! perp( X, Y, Y, Z ), coll( X, Y, skol18( X, Y ) )
% 3.70/4.11 }.
% 3.70/4.11 { ! cong( Y, X, Y, Z ), ! perp( X, Y, Y, Z ), cong( Y, X, Y, skol18( X, Y )
% 3.70/4.11 ) }.
% 3.70/4.11 { ! para( U, W, X, Y ), ! coll( Z, U, X ), ! coll( Z, W, Y ), ! coll( T, U
% 3.70/4.11 , W ), coll( Z, T, skol19( V0, V1, Z, T ) ) }.
% 3.70/4.11 { ! para( U, W, X, Y ), ! coll( Z, U, X ), ! coll( Z, W, Y ), ! coll( T, U
% 3.70/4.11 , W ), coll( skol19( X, Y, Z, T ), X, Y ) }.
% 3.70/4.11 { circle( skol27, skol24, skol25, skol26 ) }.
% 3.70/4.11 { midp( skol28, skol26, skol25 ) }.
% 3.70/4.11 { coll( skol20, skol27, skol28 ) }.
% 3.70/4.11 { circle( skol27, skol24, skol20, skol29 ) }.
% 3.70/4.11 { perp( skol22, skol20, skol24, skol25 ) }.
% 3.70/4.11 { coll( skol22, skol24, skol25 ) }.
% 3.70/4.11 { perp( skol30, skol24, skol27, skol28 ) }.
% 3.70/4.11 { coll( skol30, skol27, skol28 ) }.
% 3.70/4.11 { circle( skol23, skol22, skol28, skol30 ) }.
% 3.70/4.11 { ! perp( skol20, skol22, skol22, skol23 ) }.
% 3.70/4.11
% 3.70/4.11 percentage equality = 0.008721, percentage horn = 0.928571
% 3.70/4.11 This is a problem with some equality
% 3.70/4.11
% 3.70/4.11
% 3.70/4.11
% 3.70/4.11 Options Used:
% 3.70/4.11
% 3.70/4.11 useres = 1
% 3.70/4.11 useparamod = 1
% 3.70/4.11 useeqrefl = 1
% 3.70/4.11 useeqfact = 1
% 3.70/4.11 usefactor = 1
% 3.70/4.11 usesimpsplitting = 0
% 3.70/4.11 usesimpdemod = 5
% 3.70/4.11 usesimpres = 3
% 3.70/4.11
% 3.70/4.11 resimpinuse = 1000
% 3.70/4.11 resimpclauses = 20000
% 3.70/4.11 substype = eqrewr
% 3.70/4.11 backwardsubs = 1
% 3.70/4.11 selectoldest = 5
% 3.70/4.11
% 3.70/4.11 litorderings [0] = split
% 3.70/4.11 litorderings [1] = extend the termordering, first sorting on arguments
% 3.70/4.11
% 3.70/4.11 termordering = kbo
% 3.70/4.11
% 3.70/4.11 litapriori = 0
% 3.70/4.11 termapriori = 1
% 3.70/4.11 litaposteriori = 0
% 3.70/4.11 termaposteriori = 0
% 3.70/4.11 demodaposteriori = 0
% 3.70/4.11 ordereqreflfact = 0
% 3.70/4.11
% 3.70/4.11 litselect = negord
% 3.70/4.11
% 3.70/4.11 maxweight = 15
% 3.70/4.11 maxdepth = 30000
% 3.70/4.11 maxlength = 115
% 3.70/4.11 maxnrvars = 195
% 3.70/4.11 excuselevel = 1
% 3.70/4.11 increasemaxweight = 1
% 3.70/4.11
% 3.70/4.11 maxselected = 10000000
% 3.70/4.11 maxnrclauses = 10000000
% 3.70/4.11
% 3.70/4.11 showgenerated = 0
% 3.70/4.11 showkept = 0
% 3.70/4.11 showselected = 0
% 3.70/4.11 showdeleted = 0
% 3.70/4.11 showresimp = 1
% 3.70/4.11 showstatus = 2000
% 3.70/4.11
% 3.70/4.11 prologoutput = 0
% 3.70/4.11 nrgoals = 5000000
% 3.70/4.11 totalproof = 1
% 3.70/4.11
% 3.70/4.11 Symbols occurring in the translation:
% 3.70/4.11
% 3.70/4.11 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 3.70/4.11 . [1, 2] (w:1, o:41, a:1, s:1, b:0),
% 3.70/4.11 ! [4, 1] (w:0, o:36, a:1, s:1, b:0),
% 3.70/4.12 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 3.70/4.12 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 3.70/4.12 coll [38, 3] (w:1, o:69, a:1, s:1, b:0),
% 3.70/4.12 para [40, 4] (w:1, o:77, a:1, s:1, b:0),
% 3.70/4.12 perp [43, 4] (w:1, o:78, a:1, s:1, b:0),
% 3.70/4.12 midp [45, 3] (w:1, o:70, a:1, s:1, b:0),
% 3.70/4.12 cong [47, 4] (w:1, o:79, a:1, s:1, b:0),
% 3.70/4.12 circle [48, 4] (w:1, o:80, a:1, s:1, b:0),
% 3.70/4.12 cyclic [49, 4] (w:1, o:81, a:1, s:1, b:0),
% 3.70/4.12 eqangle [54, 8] (w:1, o:96, a:1, s:1, b:0),
% 3.70/4.12 eqratio [57, 8] (w:1, o:97, a:1, s:1, b:0),
% 3.70/4.12 simtri [59, 6] (w:1, o:93, a:1, s:1, b:0),
% 3.70/4.12 contri [60, 6] (w:1, o:94, a:1, s:1, b:0),
% 3.70/4.12 alpha1 [66, 3] (w:1, o:71, a:1, s:1, b:1),
% 3.70/4.12 alpha2 [67, 4] (w:1, o:82, a:1, s:1, b:1),
% 3.70/4.12 skol1 [68, 4] (w:1, o:83, a:1, s:1, b:1),
% 3.70/4.12 skol2 [69, 4] (w:1, o:85, a:1, s:1, b:1),
% 3.70/4.12 skol3 [70, 4] (w:1, o:87, a:1, s:1, b:1),
% 3.70/4.12 skol4 [71, 4] (w:1, o:88, a:1, s:1, b:1),
% 3.70/4.12 skol5 [72, 4] (w:1, o:89, a:1, s:1, b:1),
% 3.70/4.12 skol6 [73, 6] (w:1, o:95, a:1, s:1, b:1),
% 3.81/4.23 skol7 [74, 2] (w:1, o:65, a:1, s:1, b:1),
% 3.81/4.23 skol8 [75, 4] (w:1, o:90, a:1, s:1, b:1),
% 3.81/4.23 skol9 [76, 4] (w:1, o:91, a:1, s:1, b:1),
% 3.81/4.23 skol10 [77, 3] (w:1, o:72, a:1, s:1, b:1),
% 3.81/4.23 skol11 [78, 3] (w:1, o:73, a:1, s:1, b:1),
% 3.81/4.23 skol12 [79, 2] (w:1, o:66, a:1, s:1, b:1),
% 3.81/4.23 skol13 [80, 5] (w:1, o:92, a:1, s:1, b:1),
% 3.81/4.23 skol14 [81, 3] (w:1, o:74, a:1, s:1, b:1),
% 3.81/4.23 skol15 [82, 3] (w:1, o:75, a:1, s:1, b:1),
% 3.81/4.23 skol16 [83, 3] (w:1, o:76, a:1, s:1, b:1),
% 3.81/4.23 skol17 [84, 2] (w:1, o:67, a:1, s:1, b:1),
% 3.81/4.23 skol18 [85, 2] (w:1, o:68, a:1, s:1, b:1),
% 3.81/4.23 skol19 [86, 4] (w:1, o:84, a:1, s:1, b:1),
% 3.81/4.23 skol20 [87, 0] (w:1, o:26, a:1, s:1, b:1),
% 3.81/4.23 skol21 [88, 4] (w:1, o:86, a:1, s:1, b:1),
% 3.81/4.23 skol22 [89, 0] (w:1, o:27, a:1, s:1, b:1),
% 3.81/4.23 skol23 [90, 0] (w:1, o:28, a:1, s:1, b:1),
% 3.81/4.23 skol24 [91, 0] (w:1, o:29, a:1, s:1, b:1),
% 3.81/4.23 skol25 [92, 0] (w:1, o:30, a:1, s:1, b:1),
% 3.81/4.23 skol26 [93, 0] (w:1, o:31, a:1, s:1, b:1),
% 3.81/4.23 skol27 [94, 0] (w:1, o:32, a:1, s:1, b:1),
% 3.81/4.23 skol28 [95, 0] (w:1, o:33, a:1, s:1, b:1),
% 3.81/4.23 skol29 [96, 0] (w:1, o:34, a:1, s:1, b:1),
% 3.81/4.23 skol30 [97, 0] (w:1, o:35, a:1, s:1, b:1).
% 3.81/4.23
% 3.81/4.23
% 3.81/4.23 Starting Search:
% 3.81/4.23
% 3.81/4.23 *** allocated 15000 integers for clauses
% 3.81/4.23 *** allocated 22500 integers for clauses
% 3.81/4.23 *** allocated 33750 integers for clauses
% 3.81/4.23 *** allocated 50625 integers for clauses
% 3.81/4.23 *** allocated 22500 integers for termspace/termends
% 3.81/4.23 *** allocated 75937 integers for clauses
% 3.81/4.23 Resimplifying inuse:
% 3.81/4.23 Done
% 3.81/4.23
% 3.81/4.23 *** allocated 33750 integers for termspace/termends
% 3.81/4.23 *** allocated 113905 integers for clauses
% 3.81/4.23 *** allocated 50625 integers for termspace/termends
% 3.81/4.23
% 3.81/4.23 Intermediate Status:
% 3.81/4.23 Generated: 11163
% 3.81/4.23 Kept: 2038
% 3.81/4.23 Inuse: 331
% 3.81/4.23 Deleted: 0
% 3.81/4.23 Deletedinuse: 0
% 3.81/4.23
% 3.81/4.23 Resimplifying inuse:
% 3.81/4.23 Done
% 3.81/4.23
% 3.81/4.23 *** allocated 170857 integers for clauses
% 3.81/4.23 *** allocated 75937 integers for termspace/termends
% 3.81/4.23 Resimplifying inuse:
% 3.81/4.23 Done
% 3.81/4.23
% 3.81/4.23 *** allocated 256285 integers for clauses
% 3.81/4.23 *** allocated 113905 integers for termspace/termends
% 3.81/4.23
% 3.81/4.23 Intermediate Status:
% 3.81/4.23 Generated: 24223
% 3.81/4.23 Kept: 4102
% 3.81/4.23 Inuse: 471
% 3.81/4.23 Deleted: 0
% 3.81/4.23 Deletedinuse: 0
% 3.81/4.23
% 3.81/4.23 Resimplifying inuse:
% 3.81/4.23 Done
% 3.81/4.23
% 3.81/4.23 Resimplifying inuse:
% 3.81/4.23 Done
% 3.81/4.23
% 3.81/4.23 *** allocated 384427 integers for clauses
% 3.81/4.23 *** allocated 170857 integers for termspace/termends
% 3.81/4.23
% 3.81/4.23 Intermediate Status:
% 3.81/4.23 Generated: 38086
% 3.81/4.23 Kept: 6118
% 3.81/4.23 Inuse: 541
% 3.81/4.23 Deleted: 0
% 3.81/4.23 Deletedinuse: 0
% 3.81/4.23
% 3.81/4.23 Resimplifying inuse:
% 3.81/4.23 Done
% 3.81/4.23
% 3.81/4.23 Resimplifying inuse:
% 3.81/4.23 Done
% 3.81/4.23
% 3.81/4.23 *** allocated 576640 integers for clauses
% 3.81/4.23
% 3.81/4.23 Intermediate Status:
% 3.81/4.23 Generated: 51454
% 3.81/4.23 Kept: 8123
% 3.81/4.23 Inuse: 686
% 3.81/4.23 Deleted: 1
% 3.81/4.23 Deletedinuse: 0
% 3.81/4.23
% 3.81/4.23 Resimplifying inuse:
% 3.81/4.23 Done
% 3.81/4.23
% 3.81/4.23 *** allocated 256285 integers for termspace/termends
% 3.81/4.23 Resimplifying inuse:
% 3.81/4.23 Done
% 3.81/4.23
% 3.81/4.23
% 3.81/4.23 Intermediate Status:
% 3.81/4.23 Generated: 62603
% 3.81/4.23 Kept: 10146
% 3.81/4.23 Inuse: 884
% 3.81/4.23 Deleted: 754
% 3.81/4.23 Deletedinuse: 512
% 3.81/4.23
% 3.81/4.23 Resimplifying inuse:
% 3.81/4.23 Done
% 3.81/4.23
% 3.81/4.23 Resimplifying inuse:
% 3.81/4.23 Done
% 3.81/4.23
% 3.81/4.23 *** allocated 864960 integers for clauses
% 3.81/4.23
% 3.81/4.23 Intermediate Status:
% 3.81/4.23 Generated: 72213
% 3.81/4.23 Kept: 12146
% 3.81/4.23 Inuse: 1032
% 3.81/4.23 Deleted: 754
% 3.81/4.23 Deletedinuse: 512
% 3.81/4.23
% 3.81/4.23 Resimplifying inuse:
% 3.81/4.23 Done
% 3.81/4.23
% 3.81/4.23 Resimplifying inuse:
% 3.81/4.23 Done
% 3.81/4.23
% 3.81/4.23
% 3.81/4.23 Intermediate Status:
% 3.81/4.23 Generated: 83319
% 3.81/4.23 Kept: 14148
% 3.81/4.23 Inuse: 1238
% 3.81/4.23 Deleted: 759
% 3.81/4.23 Deletedinuse: 512
% 3.81/4.23
% 3.81/4.23 Resimplifying inuse:
% 3.81/4.23 Done
% 3.81/4.23
% 3.81/4.23 *** allocated 384427 integers for termspace/termends
% 3.81/4.23 Resimplifying inuse:
% 3.81/4.23 Done
% 3.81/4.23
% 3.81/4.23
% 3.81/4.23 Intermediate Status:
% 3.81/4.23 Generated: 93190
% 3.81/4.23 Kept: 16161
% 3.81/4.23 Inuse: 1412
% 3.81/4.23 Deleted: 764
% 3.81/4.23 Deletedinuse: 512
% 3.81/4.23
% 3.81/4.23 Resimplifying inuse:
% 3.81/4.23 Done
% 3.81/4.23
% 3.81/4.23 *** allocated 1297440 integers for clauses
% 3.81/4.23 Resimplifying inuse:
% 3.81/4.23 Done
% 3.81/4.23
% 3.81/4.23
% 3.81/4.23 Intermediate Status:
% 3.81/4.23 Generated: 103853
% 3.81/4.23 Kept: 18167
% 3.81/4.23 Inuse: 1598
% 3.81/4.23 Deleted: 772
% 3.81/4.23 Deletedinuse: 512
% 3.81/4.23
% 3.81/4.23 Resimplifying inuse:
% 3.81/4.23 Done
% 3.81/4.23
% 3.81/4.23 Resimplifying inuse:
% 3.81/4.23 Done
% 3.81/4.23
% 3.81/4.23 Resimplifying clauses:
% 3.81/4.23 Done
% 3.81/4.23
% 3.81/4.23
% 3.81/4.23 Intermediate Status:
% 3.81/4.23 Generated: 116003
% 3.81/4.23 Kept: 20167
% 3.81/4.23 Inuse: 1836
% 3.81/4.23 Deleted: 7338
% 3.81/4.23 Deletedinuse: 512
% 3.81/4.23
% 3.81/4.23 Resimplifying inuse:
% 3.81/4.23 Done
% 3.81/4.23
% 3.81/4.23 Resimplifying inuse:
% 3.81/4.23 Done
% 3.81/4.23
% 3.81/4.23
% 3.81/4.23 Intermediate Status:
% 3.81/4.23 Generated: 125560
% 3.81/4.23 Kept: 22326
% 3.81/4.23 Inuse: 1984
% 3.81/4.23 Deleted: 7536
% 3.81/4.23 Deletedinuse: 707
% 3.81/4.23
% 3.81/4.23 Resimplifying inuse:
% 3.81/4.23 Done
% 3.81/4.23
% 3.81/4.23 Resimplifying inuse:
% 3.81/4.23 Done
% 3.81/4.23
% 3.81/4.23 *** allocated 576640 integers for termspace/termends
% 3.81/4.23
% 3.81/4.23 Intermediate Status:
% 3.81/4.23 Generated: 135908
% 3.81/4.23 Kept: 24343
% 3.81/4.23 Inuse: 2171
% 3.81/4.23 Deleted: 7627
% 3.81/4.23 Deletedinuse: 759
% 3.81/4.23
% 3.81/4.23
% 3.81/4.23 Bliksems!, er is een bewijs:
% 3.81/4.23 % SZS status Theorem
% 3.81/4.23 % SZS output start Refutation
% 3.81/4.23
% 3.81/4.23 (0) {G0,W8,D2,L2,V3,M2} I { ! coll( X, Y, Z ), coll( X, Z, Y ) }.
% 3.81/4.23 (1) {G0,W8,D2,L2,V3,M2} I { ! coll( X, Y, Z ), coll( Y, X, Z ) }.
% 3.81/4.23 (2) {G0,W12,D2,L3,V4,M3} I { ! coll( X, T, Y ), ! coll( X, T, Z ), coll( Y
% 3.81/4.23 , Z, X ) }.
% 3.81/4.23 (4) {G0,W10,D2,L2,V4,M2} I { ! para( X, Y, Z, T ), para( Z, T, X, Y ) }.
% 3.81/4.23 (5) {G0,W15,D2,L3,V6,M3} I { ! para( X, Y, U, W ), ! para( U, W, Z, T ),
% 3.81/4.23 para( X, Y, Z, T ) }.
% 3.81/4.23 (6) {G0,W10,D2,L2,V4,M2} I { ! perp( X, Y, Z, T ), perp( X, Y, T, Z ) }.
% 3.81/4.23 (7) {G0,W10,D2,L2,V4,M2} I { ! perp( X, Y, Z, T ), perp( Z, T, X, Y ) }.
% 3.81/4.23 (8) {G0,W15,D2,L3,V6,M3} I { ! perp( X, Y, U, W ), ! perp( U, W, Z, T ),
% 3.81/4.23 para( X, Y, Z, T ) }.
% 3.81/4.23 (9) {G0,W15,D2,L3,V6,M3} I { ! para( X, Y, U, W ), ! perp( U, W, Z, T ),
% 3.81/4.23 perp( X, Y, Z, T ) }.
% 3.81/4.23 (10) {G0,W8,D2,L2,V3,M2} I { ! midp( Z, Y, X ), midp( Z, X, Y ) }.
% 3.81/4.23 (11) {G0,W15,D2,L3,V4,M3} I { ! cong( T, X, T, Y ), ! cong( T, X, T, Z ),
% 3.81/4.23 circle( T, X, Y, Z ) }.
% 3.81/4.23 (13) {G0,W10,D2,L2,V4,M2} I { ! cyclic( X, Y, Z, T ), cyclic( X, Y, T, Z )
% 3.81/4.23 }.
% 3.81/4.23 (14) {G0,W10,D2,L2,V4,M2} I { ! cyclic( X, Y, Z, T ), cyclic( X, Z, Y, T )
% 3.81/4.23 }.
% 3.81/4.23 (15) {G0,W10,D2,L2,V4,M2} I { ! cyclic( X, Y, Z, T ), cyclic( Y, X, Z, T )
% 3.81/4.23 }.
% 3.81/4.23 (16) {G0,W15,D2,L3,V5,M3} I { ! cyclic( U, X, Y, Z ), ! cyclic( U, X, Y, T
% 3.81/4.23 ), cyclic( X, Y, Z, T ) }.
% 3.81/4.23 (17) {G0,W18,D2,L2,V8,M2} I { ! eqangle( X, Y, Z, T, U, W, V0, V1 ),
% 3.81/4.23 eqangle( Y, X, Z, T, U, W, V0, V1 ) }.
% 3.81/4.23 (19) {G0,W18,D2,L2,V8,M2} I { ! eqangle( X, Y, Z, T, U, W, V0, V1 ),
% 3.81/4.23 eqangle( U, W, V0, V1, X, Y, Z, T ) }.
% 3.81/4.23 (20) {G0,W18,D2,L2,V8,M2} I { ! eqangle( X, Y, Z, T, U, W, V0, V1 ),
% 3.81/4.23 eqangle( X, Y, U, W, Z, T, V0, V1 ) }.
% 3.81/4.23 (39) {G0,W14,D2,L2,V6,M2} I { ! para( X, Y, Z, T ), eqangle( X, Y, U, W, Z
% 3.81/4.23 , T, U, W ) }.
% 3.81/4.23 (40) {G0,W14,D2,L2,V4,M2} I { ! cyclic( X, Y, Z, T ), eqangle( Z, X, Z, Y,
% 3.81/4.23 T, X, T, Y ) }.
% 3.81/4.23 (42) {G0,W18,D2,L3,V4,M3} I { ! eqangle( Z, X, Z, Y, T, X, T, Y ), ! coll(
% 3.81/4.23 Z, T, Y ), cyclic( X, Y, Z, T ) }.
% 3.81/4.23 (43) {G0,W29,D2,L5,V6,M5} I { ! cyclic( X, Y, U, Z ), ! cyclic( X, Y, U, T
% 3.81/4.23 ), ! cyclic( X, Y, U, W ), ! eqangle( U, X, U, Y, W, Z, W, T ), cong( X
% 3.81/4.23 , Y, Z, T ) }.
% 3.81/4.23 (53) {G0,W14,D2,L3,V4,M3} I { ! circle( T, X, Y, Z ), ! coll( T, X, Z ),
% 3.81/4.23 perp( X, Y, Y, Z ) }.
% 3.81/4.23 (56) {G0,W15,D2,L3,V4,M3} I { ! cong( X, Z, Y, Z ), ! cong( X, T, Y, T ),
% 3.81/4.23 perp( X, Y, Z, T ) }.
% 3.81/4.23 (63) {G0,W13,D2,L3,V5,M3} I { ! midp( U, X, Y ), ! midp( U, Z, T ), para( X
% 3.81/4.23 , Z, Y, T ) }.
% 3.81/4.23 (68) {G0,W9,D2,L2,V3,M2} I { ! midp( X, Y, Z ), cong( X, Y, X, Z ) }.
% 3.81/4.23 (69) {G0,W8,D2,L2,V3,M2} I { ! midp( X, Y, Z ), coll( X, Y, Z ) }.
% 3.81/4.23 (72) {G0,W19,D2,L3,V8,M3} I { ! eqangle( X, Y, Z, T, U, W, V0, V1 ), ! para
% 3.81/4.23 ( U, W, V0, V1 ), para( X, Y, Z, T ) }.
% 3.81/4.23 (88) {G0,W22,D3,L5,V7,M5} I { ! midp( Z, X, Y ), ! midp( W, T, U ), ! coll
% 3.81/4.23 ( T, X, Y ), ! coll( U, X, Y ), midp( skol7( X, V0 ), X, V0 ) }.
% 3.81/4.23 (110) {G0,W17,D3,L3,V5,M3} I { ! perp( X, U, U, T ), ! coll( T, Y, Z ),
% 3.81/4.23 perp( skol16( X, Y, Z ), X, Y, Z ) }.
% 3.81/4.23 (117) {G0,W4,D2,L1,V0,M1} I { midp( skol28, skol26, skol25 ) }.
% 3.81/4.23 (125) {G0,W5,D2,L1,V0,M1} I { ! perp( skol20, skol22, skol22, skol23 ) }.
% 3.81/4.23 (128) {G1,W10,D2,L2,V3,M2} F(11) { ! cong( X, Y, X, Z ), circle( X, Y, Z, Z
% 3.81/4.23 ) }.
% 3.81/4.23 (141) {G1,W9,D2,L2,V3,M2} F(63) { ! midp( X, Y, Z ), para( Y, Y, Z, Z ) }.
% 3.81/4.23 (148) {G1,W18,D3,L4,V4,M4} F(88) { ! midp( X, Y, Z ), ! coll( Y, Y, Z ), !
% 3.81/4.23 coll( Z, Y, Z ), midp( skol7( Y, T ), Y, T ) }.
% 3.81/4.23 (169) {G1,W8,D2,L2,V3,M2} R(1,0) { coll( X, Y, Z ), ! coll( Y, Z, X ) }.
% 3.81/4.23 (170) {G1,W8,D2,L2,V3,M2} R(1,0) { ! coll( X, Y, Z ), coll( Y, Z, X ) }.
% 3.81/4.23 (197) {G1,W12,D2,L3,V4,M3} R(2,0) { ! coll( X, Y, Z ), ! coll( X, Y, T ),
% 3.81/4.23 coll( Z, X, T ) }.
% 3.81/4.23 (204) {G2,W8,D2,L2,V3,M2} F(197) { ! coll( X, Y, Z ), coll( Z, X, Z ) }.
% 3.81/4.23 (229) {G1,W15,D2,L3,V6,M3} R(5,4) { ! para( X, Y, Z, T ), para( U, W, Z, T
% 3.81/4.23 ), ! para( X, Y, U, W ) }.
% 3.81/4.23 (230) {G1,W15,D2,L3,V6,M3} R(5,4) { ! para( X, Y, Z, T ), para( X, Y, U, W
% 3.81/4.23 ), ! para( U, W, Z, T ) }.
% 3.81/4.23 (234) {G2,W10,D2,L2,V4,M2} F(230) { ! para( X, Y, Z, T ), para( X, Y, X, Y
% 3.81/4.23 ) }.
% 3.81/4.23 (235) {G2,W10,D2,L2,V4,M2} F(229) { ! para( X, Y, Z, T ), para( Z, T, Z, T
% 3.81/4.23 ) }.
% 3.81/4.23 (244) {G3,W12,D2,L3,V4,M3} R(204,2) { coll( X, Y, X ), ! coll( X, Z, Y ), !
% 3.81/4.23 coll( X, Z, T ) }.
% 3.81/4.23 (249) {G3,W8,D2,L2,V3,M2} R(204,1) { coll( X, Y, X ), ! coll( Z, Y, X ) }.
% 3.81/4.23 (258) {G4,W8,D2,L2,V3,M2} F(244) { coll( X, Y, X ), ! coll( X, Z, Y ) }.
% 3.81/4.23 (275) {G1,W10,D2,L2,V4,M2} R(7,6) { ! perp( X, Y, Z, T ), perp( Z, T, Y, X
% 3.81/4.23 ) }.
% 3.81/4.23 (278) {G1,W5,D2,L1,V0,M1} R(7,125) { ! perp( skol22, skol23, skol20, skol22
% 3.81/4.23 ) }.
% 3.81/4.23 (286) {G1,W15,D2,L3,V6,M3} R(8,7) { ! perp( X, Y, Z, T ), para( U, W, Z, T
% 3.81/4.23 ), ! perp( X, Y, U, W ) }.
% 3.81/4.23 (327) {G1,W4,D2,L1,V0,M1} R(10,117) { midp( skol28, skol25, skol26 ) }.
% 3.81/4.23 (356) {G1,W10,D2,L2,V4,M2} R(14,13) { ! cyclic( X, Y, Z, T ), cyclic( X, Z
% 3.81/4.23 , T, Y ) }.
% 3.81/4.23 (367) {G1,W10,D2,L2,V4,M2} R(15,14) { ! cyclic( X, Y, Z, T ), cyclic( Y, Z
% 3.81/4.23 , X, T ) }.
% 3.81/4.23 (390) {G1,W15,D2,L3,V5,M3} R(16,13) { ! cyclic( X, Y, Z, T ), cyclic( Y, Z
% 3.81/4.23 , T, U ), ! cyclic( X, Y, U, Z ) }.
% 3.81/4.23 (425) {G1,W18,D2,L2,V8,M2} R(19,17) { ! eqangle( X, Y, Z, T, U, W, V0, V1 )
% 3.81/4.23 , eqangle( W, U, V0, V1, X, Y, Z, T ) }.
% 3.81/4.23 (442) {G1,W18,D2,L2,V8,M2} R(20,17) { eqangle( X, Y, Z, T, U, W, V0, V1 ),
% 3.81/4.23 ! eqangle( Y, X, U, W, Z, T, V0, V1 ) }.
% 3.81/4.23 (497) {G2,W10,D2,L2,V2,M2} R(278,9) { ! para( skol22, skol23, X, Y ), !
% 3.81/4.23 perp( X, Y, skol20, skol22 ) }.
% 3.81/4.23 (544) {G5,W8,D2,L2,V3,M2} R(258,1) { ! coll( X, Y, Z ), coll( Z, X, X ) }.
% 3.81/4.23 (549) {G6,W8,D2,L2,V3,M2} R(544,1) { coll( X, Y, Y ), ! coll( Z, Y, X ) }.
% 3.81/4.23 (550) {G6,W8,D2,L2,V3,M2} R(544,0) { coll( X, Y, Y ), ! coll( Y, X, Z ) }.
% 3.81/4.23 (551) {G7,W8,D2,L2,V3,M2} R(549,544) { ! coll( X, Y, Z ), coll( Y, Z, Z )
% 3.81/4.23 }.
% 3.81/4.23 (556) {G7,W8,D2,L2,V3,M2} R(550,550) { ! coll( X, Y, Z ), coll( X, Y, Y )
% 3.81/4.23 }.
% 3.81/4.23 (559) {G8,W12,D2,L3,V4,M3} R(556,2) { ! coll( X, Y, Z ), ! coll( X, Y, T )
% 3.81/4.23 , coll( T, Y, X ) }.
% 3.81/4.23 (560) {G9,W8,D2,L2,V3,M2} F(559) { ! coll( X, Y, Z ), coll( Z, Y, X ) }.
% 3.81/4.23 (563) {G10,W8,D2,L2,V3,M2} R(560,551) { coll( X, X, Y ), ! coll( Z, Y, X )
% 3.81/4.23 }.
% 3.81/4.23 (564) {G10,W8,D2,L2,V3,M2} R(560,549) { coll( X, X, Y ), ! coll( Z, X, Y )
% 3.81/4.23 }.
% 3.81/4.23 (603) {G2,W8,D2,L2,V3,M2} R(69,169) { ! midp( X, Y, Z ), coll( Z, X, Y )
% 3.81/4.23 }.
% 3.81/4.23 (610) {G11,W8,D2,L2,V3,M2} R(69,564) { ! midp( X, Y, Z ), coll( Y, Y, Z )
% 3.81/4.23 }.
% 3.81/4.23 (624) {G2,W4,D2,L1,V0,M1} R(69,327) { coll( skol28, skol25, skol26 ) }.
% 3.81/4.23 (629) {G1,W8,D2,L2,V3,M2} R(69,1) { ! midp( X, Y, Z ), coll( Y, X, Z ) }.
% 3.81/4.23 (630) {G1,W4,D2,L1,V0,M1} R(69,117) { coll( skol28, skol26, skol25 ) }.
% 3.81/4.23 (635) {G4,W4,D2,L1,V0,M1} R(624,249) { coll( skol26, skol25, skol26 ) }.
% 3.81/4.23 (640) {G11,W4,D2,L1,V0,M1} R(624,563) { coll( skol26, skol26, skol25 ) }.
% 3.81/4.23 (700) {G2,W8,D2,L2,V1,M2} R(630,2) { ! coll( skol28, skol26, X ), coll(
% 3.81/4.23 skol25, X, skol28 ) }.
% 3.81/4.23 (784) {G1,W14,D2,L3,V3,M3} R(42,39) { ! coll( X, X, Y ), cyclic( Z, Y, X, X
% 3.81/4.23 ), ! para( X, Z, X, Z ) }.
% 3.81/4.23 (908) {G1,W20,D2,L4,V4,M4} R(43,40);f { ! cyclic( X, Y, Z, X ), ! cyclic( X
% 3.81/4.23 , Y, Z, Y ), ! cyclic( X, Y, Z, T ), cong( X, Y, X, Y ) }.
% 3.81/4.23 (940) {G2,W15,D2,L3,V3,M3} F(908) { ! cyclic( X, Y, Z, X ), ! cyclic( X, Y
% 3.81/4.23 , Z, Y ), cong( X, Y, X, Y ) }.
% 3.81/4.23 (948) {G3,W8,D2,L2,V1,M2} R(700,170) { coll( skol25, X, skol28 ), ! coll( X
% 3.81/4.23 , skol28, skol26 ) }.
% 3.81/4.23 (1831) {G4,W8,D2,L2,V1,M2} R(948,170) { ! coll( X, skol28, skol26 ), coll(
% 3.81/4.23 X, skol28, skol25 ) }.
% 3.81/4.23 (1849) {G5,W12,D2,L3,V2,M3} R(1831,2) { ! coll( X, skol28, skol26 ), ! coll
% 3.81/4.23 ( X, skol28, Y ), coll( skol25, Y, X ) }.
% 3.81/4.23 (1854) {G6,W8,D2,L2,V1,M2} F(1849) { ! coll( X, skol28, skol26 ), coll(
% 3.81/4.23 skol25, skol26, X ) }.
% 3.81/4.23 (2452) {G1,W5,D2,L1,V0,M1} R(68,117) { cong( skol28, skol26, skol28, skol25
% 3.81/4.23 ) }.
% 3.81/4.23 (2821) {G7,W8,D2,L2,V1,M2} R(1854,629) { coll( skol25, skol26, X ), ! midp
% 3.81/4.23 ( skol28, X, skol26 ) }.
% 3.81/4.23 (2824) {G7,W8,D2,L2,V1,M2} R(1854,603) { coll( skol25, skol26, X ), ! midp
% 3.81/4.23 ( skol28, skol26, X ) }.
% 3.81/4.23 (2847) {G8,W8,D2,L2,V1,M2} R(2821,0) { ! midp( skol28, X, skol26 ), coll(
% 3.81/4.23 skol25, X, skol26 ) }.
% 3.81/4.23 (7147) {G2,W5,D2,L1,V0,M1} R(128,2452) { circle( skol28, skol26, skol25,
% 3.81/4.23 skol25 ) }.
% 3.81/4.23 (7157) {G3,W5,D2,L1,V0,M1} R(7147,53);r(630) { perp( skol26, skol25, skol25
% 3.81/4.23 , skol25 ) }.
% 3.81/4.23 (7163) {G4,W12,D3,L2,V2,M2} R(7157,110) { ! coll( skol25, X, Y ), perp(
% 3.81/4.23 skol16( skol26, X, Y ), skol26, X, Y ) }.
% 3.81/4.23 (7964) {G12,W14,D3,L3,V2,M3} R(148,2824);r(640) { ! midp( X, skol26, skol25
% 3.81/4.23 ), midp( skol7( skol26, Y ), skol26, Y ), ! midp( skol28, skol26, skol25
% 3.81/4.23 ) }.
% 3.81/4.23 (7975) {G9,W14,D3,L3,V2,M3} R(148,2847);r(635) { ! midp( X, skol25, skol26
% 3.81/4.23 ), midp( skol7( skol25, Y ), skol25, Y ), ! midp( skol28, skol25, skol26
% 3.81/4.23 ) }.
% 3.81/4.23 (8063) {G10,W6,D3,L1,V1,M1} F(7975);r(327) { midp( skol7( skol25, X ),
% 3.81/4.23 skol25, X ) }.
% 3.81/4.23 (8064) {G13,W6,D3,L1,V1,M1} F(7964);r(117) { midp( skol7( skol26, X ),
% 3.81/4.23 skol26, X ) }.
% 3.81/4.23 (8112) {G14,W4,D2,L1,V1,M1} R(8064,610) { coll( skol26, skol26, X ) }.
% 3.81/4.23 (8171) {G15,W4,D2,L1,V2,M1} R(8112,2);r(8112) { coll( Y, X, skol26 ) }.
% 3.81/4.23 (8196) {G16,W4,D2,L1,V2,M1} R(8171,170) { coll( X, skol26, Y ) }.
% 3.81/4.23 (8209) {G17,W4,D2,L1,V3,M1} R(8196,2);r(8196) { coll( Z, Y, X ) }.
% 3.81/4.23 (8269) {G11,W5,D2,L1,V1,M1} R(8063,141) { para( skol25, skol25, X, X ) }.
% 3.81/4.23 (8289) {G12,W5,D2,L1,V1,M1} R(8269,4) { para( X, X, skol25, skol25 ) }.
% 3.81/4.23 (8672) {G13,W5,D2,L1,V1,M1} R(234,8289) { para( X, X, X, X ) }.
% 3.81/4.23 (8679) {G14,W9,D2,L1,V3,M1} R(8672,39) { eqangle( X, X, Y, Z, X, X, Y, Z )
% 3.81/4.23 }.
% 3.81/4.23 (19786) {G15,W9,D2,L1,V3,M1} R(8679,442) { eqangle( X, X, X, X, Y, Z, Y, Z
% 3.81/4.23 ) }.
% 3.81/4.23 (19791) {G16,W9,D2,L1,V3,M1} R(19786,425) { eqangle( X, Y, Y, X, Z, Z, Z, Z
% 3.81/4.23 ) }.
% 3.81/4.23 (19798) {G17,W5,D2,L1,V2,M1} R(19791,72);r(8672) { para( Y, Z, Z, Y ) }.
% 3.81/4.23 (19799) {G18,W5,D2,L1,V2,M1} R(19798,235) { para( X, Y, X, Y ) }.
% 3.81/4.23 (20046) {G18,W8,D3,L1,V2,M1} S(7163);r(8209) { perp( skol16( skol26, X, Y )
% 3.81/4.23 , skol26, X, Y ) }.
% 3.81/4.23 (20127) {G19,W5,D2,L1,V3,M1} S(784);r(8209);r(19799) { cyclic( Z, Y, X, X )
% 3.81/4.23 }.
% 3.81/4.23 (20146) {G20,W5,D2,L1,V3,M1} R(20127,367) { cyclic( X, Y, Z, Y ) }.
% 3.81/4.23 (20148) {G20,W5,D2,L1,V3,M1} R(20127,356) { cyclic( X, Y, Y, Z ) }.
% 3.81/4.23 (20153) {G21,W5,D2,L1,V3,M1} R(20146,390);r(20148) { cyclic( Y, Y, Z, T )
% 3.81/4.23 }.
% 3.81/4.23 (20161) {G22,W5,D2,L1,V4,M1} R(20153,390);r(20153) { cyclic( X, Y, Z, T )
% 3.81/4.23 }.
% 3.81/4.23 (23005) {G19,W8,D3,L1,V2,M1} R(20046,275) { perp( X, Y, skol26, skol16(
% 3.81/4.23 skol26, X, Y ) ) }.
% 3.81/4.23 (23041) {G20,W8,D3,L1,V2,M1} R(23005,275) { perp( skol26, skol16( skol26, X
% 3.81/4.23 , Y ), Y, X ) }.
% 3.81/4.23 (23058) {G21,W8,D3,L1,V0,M1} R(23041,497) { ! para( skol22, skol23, skol26
% 3.81/4.23 , skol16( skol26, skol22, skol20 ) ) }.
% 3.81/4.23 (24381) {G23,W5,D2,L1,V2,M1} S(940);r(20161);r(20161) { cong( X, Y, X, Y )
% 3.81/4.23 }.
% 3.81/4.23 (24392) {G24,W5,D2,L1,V3,M1} R(24381,56);r(24381) { perp( X, X, Z, Y ) }.
% 3.81/4.23 (24429) {G25,W5,D2,L1,V4,M1} R(24392,286);r(24392) { para( X, Y, Z, T ) }.
% 3.81/4.23 (24441) {G26,W0,D0,L0,V0,M0} R(24429,23058) { }.
% 3.81/4.23
% 3.81/4.23
% 3.81/4.23 % SZS output end Refutation
% 3.81/4.23 found a proof!
% 3.81/4.23
% 3.81/4.23
% 3.81/4.23 Unprocessed initial clauses:
% 3.81/4.23
% 3.81/4.23 (24443) {G0,W8,D2,L2,V3,M2} { ! coll( X, Y, Z ), coll( X, Z, Y ) }.
% 3.81/4.23 (24444) {G0,W8,D2,L2,V3,M2} { ! coll( X, Y, Z ), coll( Y, X, Z ) }.
% 3.81/4.23 (24445) {G0,W12,D2,L3,V4,M3} { ! coll( X, T, Y ), ! coll( X, T, Z ), coll
% 3.81/4.23 ( Y, Z, X ) }.
% 3.81/4.23 (24446) {G0,W10,D2,L2,V4,M2} { ! para( X, Y, Z, T ), para( X, Y, T, Z )
% 3.81/4.23 }.
% 3.81/4.23 (24447) {G0,W10,D2,L2,V4,M2} { ! para( X, Y, Z, T ), para( Z, T, X, Y )
% 3.81/4.23 }.
% 3.81/4.23 (24448) {G0,W15,D2,L3,V6,M3} { ! para( X, Y, U, W ), ! para( U, W, Z, T )
% 3.81/4.23 , para( X, Y, Z, T ) }.
% 3.81/4.23 (24449) {G0,W10,D2,L2,V4,M2} { ! perp( X, Y, Z, T ), perp( X, Y, T, Z )
% 3.81/4.23 }.
% 3.81/4.23 (24450) {G0,W10,D2,L2,V4,M2} { ! perp( X, Y, Z, T ), perp( Z, T, X, Y )
% 3.81/4.23 }.
% 3.81/4.23 (24451) {G0,W15,D2,L3,V6,M3} { ! perp( X, Y, U, W ), ! perp( U, W, Z, T )
% 3.81/4.23 , para( X, Y, Z, T ) }.
% 3.81/4.23 (24452) {G0,W15,D2,L3,V6,M3} { ! para( X, Y, U, W ), ! perp( U, W, Z, T )
% 3.81/4.23 , perp( X, Y, Z, T ) }.
% 3.81/4.23 (24453) {G0,W8,D2,L2,V3,M2} { ! midp( Z, Y, X ), midp( Z, X, Y ) }.
% 3.81/4.23 (24454) {G0,W15,D2,L3,V4,M3} { ! cong( T, X, T, Y ), ! cong( T, X, T, Z )
% 3.81/4.23 , circle( T, X, Y, Z ) }.
% 3.81/4.23 (24455) {G0,W20,D2,L4,V5,M4} { ! cong( U, X, U, Y ), ! cong( U, X, U, Z )
% 3.81/4.23 , ! cong( U, X, U, T ), cyclic( X, Y, Z, T ) }.
% 3.81/4.23 (24456) {G0,W10,D2,L2,V4,M2} { ! cyclic( X, Y, Z, T ), cyclic( X, Y, T, Z
% 3.81/4.23 ) }.
% 3.81/4.23 (24457) {G0,W10,D2,L2,V4,M2} { ! cyclic( X, Y, Z, T ), cyclic( X, Z, Y, T
% 3.81/4.23 ) }.
% 3.81/4.23 (24458) {G0,W10,D2,L2,V4,M2} { ! cyclic( X, Y, Z, T ), cyclic( Y, X, Z, T
% 3.81/4.23 ) }.
% 3.81/4.23 (24459) {G0,W15,D2,L3,V5,M3} { ! cyclic( U, X, Y, Z ), ! cyclic( U, X, Y,
% 3.81/4.23 T ), cyclic( X, Y, Z, T ) }.
% 3.81/4.23 (24460) {G0,W18,D2,L2,V8,M2} { ! eqangle( X, Y, Z, T, U, W, V0, V1 ),
% 3.81/4.23 eqangle( Y, X, Z, T, U, W, V0, V1 ) }.
% 3.81/4.23 (24461) {G0,W18,D2,L2,V8,M2} { ! eqangle( X, Y, Z, T, U, W, V0, V1 ),
% 3.81/4.23 eqangle( Z, T, X, Y, V0, V1, U, W ) }.
% 3.81/4.23 (24462) {G0,W18,D2,L2,V8,M2} { ! eqangle( X, Y, Z, T, U, W, V0, V1 ),
% 3.81/4.23 eqangle( U, W, V0, V1, X, Y, Z, T ) }.
% 3.81/4.23 (24463) {G0,W18,D2,L2,V8,M2} { ! eqangle( X, Y, Z, T, U, W, V0, V1 ),
% 3.81/4.23 eqangle( X, Y, U, W, Z, T, V0, V1 ) }.
% 3.81/4.23 (24464) {G0,W27,D2,L3,V12,M3} { ! eqangle( X, Y, Z, T, V2, V3, V4, V5 ), !
% 3.81/4.23 eqangle( V2, V3, V4, V5, U, W, V0, V1 ), eqangle( X, Y, Z, T, U, W, V0,
% 3.81/4.23 V1 ) }.
% 3.81/4.23 (24465) {G0,W10,D2,L2,V4,M2} { ! cong( X, Y, Z, T ), cong( X, Y, T, Z )
% 3.81/4.23 }.
% 3.81/4.23 (24466) {G0,W10,D2,L2,V4,M2} { ! cong( X, Y, Z, T ), cong( Z, T, X, Y )
% 3.81/4.23 }.
% 3.81/4.23 (24467) {G0,W15,D2,L3,V6,M3} { ! cong( X, Y, U, W ), ! cong( U, W, Z, T )
% 3.81/4.23 , cong( X, Y, Z, T ) }.
% 3.81/4.23 (24468) {G0,W18,D2,L2,V8,M2} { ! eqratio( X, Y, Z, T, U, W, V0, V1 ),
% 3.81/4.23 eqratio( Y, X, Z, T, U, W, V0, V1 ) }.
% 3.81/4.23 (24469) {G0,W18,D2,L2,V8,M2} { ! eqratio( X, Y, Z, T, U, W, V0, V1 ),
% 3.81/4.23 eqratio( Z, T, X, Y, V0, V1, U, W ) }.
% 3.81/4.23 (24470) {G0,W18,D2,L2,V8,M2} { ! eqratio( X, Y, Z, T, U, W, V0, V1 ),
% 3.81/4.23 eqratio( U, W, V0, V1, X, Y, Z, T ) }.
% 3.81/4.23 (24471) {G0,W18,D2,L2,V8,M2} { ! eqratio( X, Y, Z, T, U, W, V0, V1 ),
% 3.81/4.23 eqratio( X, Y, U, W, Z, T, V0, V1 ) }.
% 3.81/4.23 (24472) {G0,W27,D2,L3,V12,M3} { ! eqratio( X, Y, Z, T, V2, V3, V4, V5 ), !
% 3.81/4.23 eqratio( V2, V3, V4, V5, U, W, V0, V1 ), eqratio( X, Y, Z, T, U, W, V0,
% 3.81/4.23 V1 ) }.
% 3.81/4.23 (24473) {G0,W14,D2,L2,V6,M2} { ! simtri( X, Z, Y, T, W, U ), simtri( X, Y
% 3.81/4.23 , Z, T, U, W ) }.
% 3.81/4.23 (24474) {G0,W14,D2,L2,V6,M2} { ! simtri( Y, X, Z, U, T, W ), simtri( X, Y
% 3.81/4.23 , Z, T, U, W ) }.
% 3.81/4.23 (24475) {G0,W14,D2,L2,V6,M2} { ! simtri( T, U, W, X, Y, Z ), simtri( X, Y
% 3.81/4.23 , Z, T, U, W ) }.
% 3.81/4.23 (24476) {G0,W21,D2,L3,V9,M3} { ! simtri( X, Y, Z, V0, V1, V2 ), ! simtri(
% 3.81/4.23 V0, V1, V2, T, U, W ), simtri( X, Y, Z, T, U, W ) }.
% 3.81/4.23 (24477) {G0,W14,D2,L2,V6,M2} { ! contri( X, Z, Y, T, W, U ), contri( X, Y
% 3.81/4.23 , Z, T, U, W ) }.
% 3.81/4.23 (24478) {G0,W14,D2,L2,V6,M2} { ! contri( Y, X, Z, U, T, W ), contri( X, Y
% 3.81/4.23 , Z, T, U, W ) }.
% 3.81/4.23 (24479) {G0,W14,D2,L2,V6,M2} { ! contri( T, U, W, X, Y, Z ), contri( X, Y
% 3.81/4.23 , Z, T, U, W ) }.
% 3.81/4.23 (24480) {G0,W21,D2,L3,V9,M3} { ! contri( X, Y, Z, V0, V1, V2 ), ! contri(
% 3.81/4.23 V0, V1, V2, T, U, W ), contri( X, Y, Z, T, U, W ) }.
% 3.81/4.23 (24481) {G0,W14,D2,L2,V6,M2} { ! eqangle( X, Y, U, W, Z, T, U, W ), para(
% 3.81/4.23 X, Y, Z, T ) }.
% 3.81/4.23 (24482) {G0,W14,D2,L2,V6,M2} { ! para( X, Y, Z, T ), eqangle( X, Y, U, W,
% 3.81/4.23 Z, T, U, W ) }.
% 3.81/4.23 (24483) {G0,W14,D2,L2,V4,M2} { ! cyclic( X, Y, Z, T ), eqangle( Z, X, Z, Y
% 3.81/4.23 , T, X, T, Y ) }.
% 3.81/4.23 (24484) {G0,W18,D2,L3,V4,M3} { ! eqangle( Z, X, Z, Y, T, X, T, Y ), coll(
% 3.81/4.23 Z, T, X ), cyclic( X, Y, Z, T ) }.
% 3.81/4.23 (24485) {G0,W18,D2,L3,V4,M3} { ! eqangle( Z, X, Z, Y, T, X, T, Y ), ! coll
% 3.81/4.23 ( Z, T, Y ), cyclic( X, Y, Z, T ) }.
% 3.81/4.23 (24486) {G0,W29,D2,L5,V6,M5} { ! cyclic( X, Y, U, Z ), ! cyclic( X, Y, U,
% 3.81/4.23 T ), ! cyclic( X, Y, U, W ), ! eqangle( U, X, U, Y, W, Z, W, T ), cong( X
% 3.81/4.23 , Y, Z, T ) }.
% 3.81/4.23 (24487) {G0,W13,D2,L3,V5,M3} { ! midp( Z, U, X ), ! midp( T, U, Y ), para
% 3.81/4.23 ( Z, T, X, Y ) }.
% 3.81/4.23 (24488) {G0,W17,D2,L4,V5,M4} { ! midp( U, X, T ), ! para( U, Z, T, Y ), !
% 3.81/4.23 coll( Z, X, Y ), midp( Z, X, Y ) }.
% 3.81/4.23 (24489) {G0,W14,D2,L2,V3,M2} { ! cong( Z, X, Z, Y ), eqangle( Z, X, X, Y,
% 3.81/4.23 X, Y, Z, Y ) }.
% 3.81/4.23 (24490) {G0,W18,D2,L3,V3,M3} { ! eqangle( Z, X, X, Y, X, Y, Z, Y ), coll(
% 3.81/4.23 Z, X, Y ), cong( Z, X, Z, Y ) }.
% 3.81/4.23 (24491) {G0,W19,D2,L3,V5,M3} { ! circle( U, X, Y, Z ), ! perp( U, X, X, T
% 3.81/4.23 ), eqangle( X, T, X, Y, Z, X, Z, Y ) }.
% 3.81/4.23 (24492) {G0,W19,D2,L3,V5,M3} { ! circle( Y, X, T, U ), ! eqangle( X, Z, X
% 3.81/4.23 , T, U, X, U, T ), perp( Y, X, X, Z ) }.
% 3.81/4.23 (24493) {G0,W18,D2,L3,V5,M3} { ! circle( T, X, Y, Z ), ! midp( U, Y, Z ),
% 3.81/4.23 eqangle( X, Y, X, Z, T, Y, T, U ) }.
% 3.81/4.23 (24494) {G0,W22,D2,L4,V5,M4} { ! circle( U, T, X, Y ), ! coll( Z, X, Y ),
% 3.81/4.23 ! eqangle( T, X, T, Y, U, X, U, Z ), midp( Z, X, Y ) }.
% 3.81/4.23 (24495) {G0,W14,D2,L3,V4,M3} { ! perp( X, Y, Y, T ), ! midp( Z, X, T ),
% 3.81/4.23 cong( X, Z, Y, Z ) }.
% 3.81/4.23 (24496) {G0,W14,D2,L3,V4,M3} { ! circle( T, X, Y, Z ), ! coll( T, X, Z ),
% 3.81/4.23 perp( X, Y, Y, Z ) }.
% 3.81/4.23 (24497) {G0,W19,D2,L3,V4,M3} { ! cyclic( X, Y, Z, T ), ! para( X, Y, Z, T
% 3.81/4.23 ), eqangle( X, T, Z, T, Z, T, Z, Y ) }.
% 3.81/4.23 (24498) {G0,W14,D2,L3,V4,M3} { ! midp( T, X, Y ), ! perp( Z, T, X, Y ),
% 3.81/4.23 cong( Z, X, Z, Y ) }.
% 3.81/4.23 (24499) {G0,W15,D2,L3,V4,M3} { ! cong( X, Z, Y, Z ), ! cong( X, T, Y, T )
% 3.81/4.23 , perp( X, Y, Z, T ) }.
% 3.81/4.23 (24500) {G0,W20,D2,L4,V4,M4} { ! cong( X, Y, T, Y ), ! cong( X, Z, T, Z )
% 3.81/4.23 , ! cyclic( X, T, Y, Z ), perp( Y, X, X, Z ) }.
% 3.81/4.23 (24501) {G0,W29,D2,L4,V6,M4} { ! eqangle( X, Y, Y, Z, T, U, U, W ), !
% 3.81/4.23 eqangle( X, Z, Y, Z, T, W, U, W ), coll( X, Y, Z ), simtri( X, Y, Z, T, U
% 3.81/4.23 , W ) }.
% 3.81/4.23 (24502) {G0,W16,D2,L2,V6,M2} { ! simtri( X, Y, Z, T, U, W ), eqratio( X, Y
% 3.81/4.23 , X, Z, T, U, T, W ) }.
% 3.81/4.23 (24503) {G0,W16,D2,L2,V6,M2} { ! simtri( X, Y, Z, T, U, W ), eqangle( X, Y
% 3.81/4.23 , Y, Z, T, U, U, W ) }.
% 3.81/4.23 (24504) {G0,W19,D2,L3,V6,M3} { ! simtri( X, Y, Z, T, U, W ), ! cong( X, Y
% 3.81/4.23 , T, U ), contri( X, Y, Z, T, U, W ) }.
% 3.81/4.23 (24505) {G0,W12,D2,L2,V6,M2} { ! contri( X, Y, U, Z, T, W ), cong( X, Y, Z
% 3.81/4.23 , T ) }.
% 3.81/4.23 (24506) {G0,W13,D2,L3,V5,M3} { ! midp( U, X, Y ), ! midp( U, Z, T ), para
% 3.81/4.23 ( X, Z, Y, T ) }.
% 3.81/4.23 (24507) {G0,W18,D2,L4,V5,M4} { ! midp( Z, T, U ), ! para( T, X, U, Y ), !
% 3.81/4.23 para( T, Y, U, X ), midp( Z, X, Y ) }.
% 3.81/4.23 (24508) {G0,W22,D2,L4,V5,M4} { ! para( X, Y, Z, T ), ! coll( U, X, Z ), !
% 3.81/4.23 coll( U, Y, T ), eqratio( U, X, X, Z, U, Y, Y, T ) }.
% 3.81/4.23 (24509) {G0,W9,D2,L2,V3,M2} { ! para( X, Y, X, Z ), coll( X, Y, Z ) }.
% 3.81/4.23 (24510) {G0,W13,D2,L3,V3,M3} { ! cong( X, Y, X, Z ), ! coll( X, Y, Z ),
% 3.81/4.23 midp( X, Y, Z ) }.
% 3.81/4.23 (24511) {G0,W9,D2,L2,V3,M2} { ! midp( X, Y, Z ), cong( X, Y, X, Z ) }.
% 3.81/4.23 (24512) {G0,W8,D2,L2,V3,M2} { ! midp( X, Y, Z ), coll( X, Y, Z ) }.
% 3.81/4.23 (24513) {G0,W17,D2,L3,V6,M3} { ! midp( U, X, Y ), ! midp( W, Z, T ),
% 3.81/4.23 eqratio( U, X, X, Y, W, Z, Z, T ) }.
% 3.81/4.23 (24514) {G0,W19,D2,L3,V4,M3} { ! eqangle( X, Y, Z, T, Z, T, X, Y ), para(
% 3.81/4.23 X, Y, Z, T ), perp( X, Y, Z, T ) }.
% 3.81/4.23 (24515) {G0,W19,D2,L3,V4,M3} { ! eqangle( X, Y, Z, T, Z, T, X, Y ), perp(
% 3.81/4.23 X, Y, Z, T ), para( X, Y, Z, T ) }.
% 3.81/4.23 (24516) {G0,W19,D2,L3,V8,M3} { ! eqangle( X, Y, Z, T, U, W, V0, V1 ), !
% 3.81/4.23 para( U, W, V0, V1 ), para( X, Y, Z, T ) }.
% 3.81/4.23 (24517) {G0,W19,D2,L3,V8,M3} { ! eqangle( X, Y, Z, T, U, W, V0, V1 ), !
% 3.81/4.23 perp( U, W, V0, V1 ), perp( X, Y, Z, T ) }.
% 3.81/4.23 (24518) {G0,W19,D2,L3,V8,M3} { ! eqratio( X, Y, Z, T, U, W, V0, V1 ), !
% 3.81/4.23 cong( U, W, V0, V1 ), cong( X, Y, Z, T ) }.
% 3.81/4.23 (24519) {G0,W22,D3,L3,V6,M3} { ! perp( Z, Y, Y, X ), ! eqangle( T, Z, Y, Z
% 3.81/4.23 , Y, Z, X, Z ), coll( skol1( U, W, Z, T ), Z, T ) }.
% 3.81/4.23 (24520) {G0,W22,D3,L3,V4,M3} { ! perp( Z, Y, Y, X ), ! eqangle( T, Z, Y, Z
% 3.81/4.23 , Y, Z, X, Z ), coll( skol1( X, Y, Z, T ), X, Y ) }.
% 3.81/4.23 (24521) {G0,W22,D3,L3,V6,M3} { ! cong( Z, X, Z, Y ), ! eqangle( X, Z, Z, T
% 3.81/4.23 , Z, T, Z, Y ), coll( skol2( U, W, Z, T ), Z, T ) }.
% 3.81/4.23 (24522) {G0,W22,D3,L3,V4,M3} { ! cong( Z, X, Z, Y ), ! eqangle( X, Z, Z, T
% 3.81/4.23 , Z, T, Z, Y ), coll( Y, X, skol2( X, Y, Z, T ) ) }.
% 3.81/4.23 (24523) {G0,W22,D3,L3,V6,M3} { ! perp( Z, T, X, Y ), ! eqangle( X, Z, Z, T
% 3.81/4.23 , Z, T, Z, Y ), coll( skol3( U, W, Z, T ), Z, T ) }.
% 3.81/4.23 (24524) {G0,W22,D3,L3,V4,M3} { ! perp( Z, T, X, Y ), ! eqangle( X, Z, Z, T
% 3.81/4.23 , Z, T, Z, Y ), coll( Y, X, skol3( X, Y, Z, T ) ) }.
% 3.81/4.23 (24525) {G0,W18,D3,L3,V6,M3} { ! perp( Z, T, X, Y ), ! cong( Z, X, Z, Y )
% 3.81/4.23 , coll( skol4( U, W, Z, T ), Z, T ) }.
% 3.81/4.23 (24526) {G0,W18,D3,L3,V4,M3} { ! perp( Z, T, X, Y ), ! cong( Z, X, Z, Y )
% 3.81/4.23 , coll( Y, X, skol4( X, Y, Z, T ) ) }.
% 3.81/4.23 (24527) {G0,W22,D3,L3,V6,M3} { ! eqangle( X, Z, Y, Z, X, T, Y, U ), coll(
% 3.81/4.23 X, Y, Z ), cyclic( T, Y, Z, skol5( W, Y, Z, T ) ) }.
% 3.81/4.23 (24528) {G0,W30,D3,L3,V5,M3} { ! eqangle( X, Z, Y, Z, X, T, Y, U ), coll(
% 3.81/4.23 X, Y, Z ), eqangle( X, Z, Y, Z, X, skol5( X, Y, Z, T ), Y, skol5( X, Y, Z
% 3.81/4.23 , T ) ) }.
% 3.81/4.23 (24529) {G0,W18,D3,L3,V10,M3} { ! midp( U, X, Y ), ! midp( W, Z, T ), midp
% 3.81/4.23 ( skol6( X, V0, V1, T, V2, V3 ), X, T ) }.
% 3.81/4.23 (24530) {G0,W19,D3,L3,V8,M3} { ! midp( U, X, Y ), ! midp( W, Z, T ), para
% 3.81/4.23 ( skol6( X, V0, Z, T, V1, W ), W, X, Z ) }.
% 3.81/4.23 (24531) {G0,W19,D3,L3,V6,M3} { ! midp( U, X, Y ), ! midp( W, Z, T ), para
% 3.81/4.23 ( skol6( X, Y, Z, T, U, W ), U, Y, T ) }.
% 3.81/4.23 (24532) {G0,W22,D3,L5,V7,M5} { ! midp( Z, X, Y ), ! midp( W, T, U ), !
% 3.81/4.23 coll( T, X, Y ), ! coll( U, X, Y ), midp( skol7( X, V0 ), X, V0 ) }.
% 3.81/4.23 (24533) {G0,W26,D3,L5,V8,M5} { ! midp( T, X, U ), ! para( X, W, Z, T ), !
% 3.81/4.23 para( X, W, U, Y ), ! coll( W, Y, Z ), coll( skol8( V0, V1, Z, T ), T, Z
% 3.81/4.23 ) }.
% 3.81/4.23 (24534) {G0,W26,D3,L5,V6,M5} { ! midp( T, X, U ), ! para( X, W, Z, T ), !
% 3.81/4.23 para( X, W, U, Y ), ! coll( W, Y, Z ), coll( skol8( X, Y, Z, T ), X, Y )
% 3.81/4.23 }.
% 3.81/4.23 (24535) {G0,W19,D3,L3,V7,M3} { ! cong( T, Z, T, U ), ! perp( X, Y, Y, T )
% 3.81/4.23 , cong( T, Z, T, skol9( W, V0, Z, T ) ) }.
% 3.81/4.23 (24536) {G0,W19,D3,L3,V6,M3} { ! cong( T, Z, T, U ), ! perp( X, Y, Y, T )
% 3.81/4.23 , cong( Y, Z, Y, skol9( W, Y, Z, T ) ) }.
% 3.81/4.23 (24537) {G0,W19,D3,L3,V5,M3} { ! cong( T, Z, T, U ), ! perp( X, Y, Y, T )
% 3.81/4.23 , para( skol9( X, Y, Z, T ), Z, X, Y ) }.
% 3.81/4.23 (24538) {G0,W17,D3,L3,V5,M3} { ! perp( X, T, Y, Z ), ! perp( Y, T, X, Z )
% 3.81/4.23 , coll( skol10( U, Y, Z ), Z, Y ) }.
% 3.81/4.23 (24539) {G0,W18,D3,L3,V4,M3} { ! perp( X, T, Y, Z ), ! perp( Y, T, X, Z )
% 3.81/4.23 , perp( X, skol10( X, Y, Z ), Z, Y ) }.
% 3.81/4.23 (24540) {G0,W14,D2,L3,V4,M3} { ! perp( X, T, Y, Z ), ! perp( Y, T, X, Z )
% 3.81/4.23 , alpha1( X, Y, Z ) }.
% 3.81/4.23 (24541) {G0,W11,D3,L2,V4,M2} { ! alpha1( X, Y, Z ), coll( skol11( X, T, Z
% 3.81/4.23 ), Z, X ) }.
% 3.81/4.23 (24542) {G0,W12,D3,L2,V3,M2} { ! alpha1( X, Y, Z ), perp( Y, skol11( X, Y
% 3.81/4.23 , Z ), Z, X ) }.
% 3.81/4.23 (24543) {G0,W13,D2,L3,V4,M3} { ! coll( T, Z, X ), ! perp( Y, T, Z, X ),
% 3.81/4.23 alpha1( X, Y, Z ) }.
% 3.81/4.23 (24544) {G0,W12,D3,L2,V4,M2} { ! circle( Y, X, Z, T ), perp( skol12( X, Y
% 3.81/4.23 ), X, X, Y ) }.
% 3.81/4.23 (24545) {G0,W28,D3,L5,V8,M5} { ! circle( W, X, Y, Z ), ! cong( W, X, W, T
% 3.81/4.23 ), ! cong( U, X, U, Y ), W = U, alpha2( X, Z, U, skol13( X, V0, Z, V1, U
% 3.81/4.23 ) ) }.
% 3.81/4.23 (24546) {G0,W26,D3,L5,V8,M5} { ! circle( W, X, Y, Z ), ! cong( W, X, W, T
% 3.81/4.23 ), ! cong( U, X, U, Y ), W = U, coll( skol21( V0, Y, T, V1 ), Y, T ) }.
% 3.81/4.23 (24547) {G0,W27,D3,L5,V6,M5} { ! circle( W, X, Y, Z ), ! cong( W, X, W, T
% 3.81/4.23 ), ! cong( U, X, U, Y ), W = U, cong( skol21( X, Y, T, U ), U, U, X )
% 3.81/4.23 }.
% 3.81/4.23 (24548) {G0,W9,D2,L2,V4,M2} { ! alpha2( X, Y, Z, T ), coll( T, X, Y ) }.
% 3.81/4.23 (24549) {G0,W10,D2,L2,V4,M2} { ! alpha2( X, Y, Z, T ), cong( T, Z, Z, X )
% 3.81/4.23 }.
% 3.81/4.23 (24550) {G0,W14,D2,L3,V4,M3} { ! coll( T, X, Y ), ! cong( T, Z, Z, X ),
% 3.81/4.23 alpha2( X, Y, Z, T ) }.
% 3.81/4.23 (24551) {G0,W22,D3,L4,V5,M4} { ! cyclic( X, Y, Z, T ), ! para( X, Y, Z, T
% 3.81/4.23 ), ! midp( U, X, Y ), circle( skol14( X, Y, Z ), X, Y, Z ) }.
% 3.81/4.23 (24552) {G0,W18,D3,L3,V4,M3} { ! perp( X, Z, Z, Y ), ! cyclic( X, Y, Z, T
% 3.81/4.23 ), circle( skol15( X, Y, Z ), X, Y, Z ) }.
% 3.81/4.23 (24553) {G0,W16,D3,L3,V6,M3} { ! perp( X, U, U, T ), ! coll( T, Y, Z ),
% 3.81/4.23 coll( skol16( W, Y, Z ), Y, Z ) }.
% 3.81/4.23 (24554) {G0,W17,D3,L3,V5,M3} { ! perp( X, U, U, T ), ! coll( T, Y, Z ),
% 3.81/4.23 perp( skol16( X, Y, Z ), X, Y, Z ) }.
% 3.81/4.23 (24555) {G0,W20,D3,L4,V5,M4} { ! perp( X, Z, X, Y ), ! perp( Y, X, Y, T )
% 3.81/4.23 , ! midp( U, Z, T ), midp( skol17( X, Y ), X, Y ) }.
% 3.81/4.23 (24556) {G0,W16,D3,L3,V3,M3} { ! cong( Y, X, Y, Z ), ! perp( X, Y, Y, Z )
% 3.81/4.23 , coll( X, Y, skol18( X, Y ) ) }.
% 3.81/4.23 (24557) {G0,W17,D3,L3,V3,M3} { ! cong( Y, X, Y, Z ), ! perp( X, Y, Y, Z )
% 3.81/4.23 , cong( Y, X, Y, skol18( X, Y ) ) }.
% 3.81/4.23 (24558) {G0,W25,D3,L5,V8,M5} { ! para( U, W, X, Y ), ! coll( Z, U, X ), !
% 3.81/4.23 coll( Z, W, Y ), ! coll( T, U, W ), coll( Z, T, skol19( V0, V1, Z, T ) )
% 3.81/4.23 }.
% 3.81/4.23 (24559) {G0,W25,D3,L5,V6,M5} { ! para( U, W, X, Y ), ! coll( Z, U, X ), !
% 3.81/4.23 coll( Z, W, Y ), ! coll( T, U, W ), coll( skol19( X, Y, Z, T ), X, Y )
% 3.81/4.23 }.
% 3.81/4.23 (24560) {G0,W5,D2,L1,V0,M1} { circle( skol27, skol24, skol25, skol26 ) }.
% 3.81/4.23 (24561) {G0,W4,D2,L1,V0,M1} { midp( skol28, skol26, skol25 ) }.
% 3.81/4.23 (24562) {G0,W4,D2,L1,V0,M1} { coll( skol20, skol27, skol28 ) }.
% 3.81/4.23 (24563) {G0,W5,D2,L1,V0,M1} { circle( skol27, skol24, skol20, skol29 ) }.
% 3.81/4.23 (24564) {G0,W5,D2,L1,V0,M1} { perp( skol22, skol20, skol24, skol25 ) }.
% 3.81/4.23 (24565) {G0,W4,D2,L1,V0,M1} { coll( skol22, skol24, skol25 ) }.
% 3.81/4.23 (24566) {G0,W5,D2,L1,V0,M1} { perp( skol30, skol24, skol27, skol28 ) }.
% 3.81/4.23 (24567) {G0,W4,D2,L1,V0,M1} { coll( skol30, skol27, skol28 ) }.
% 3.81/4.23 (24568) {G0,W5,D2,L1,V0,M1} { circle( skol23, skol22, skol28, skol30 ) }.
% 3.81/4.23 (24569) {G0,W5,D2,L1,V0,M1} { ! perp( skol20, skol22, skol22, skol23 ) }.
% 3.81/4.23
% 3.81/4.23
% 3.81/4.23 Total Proof:
% 3.81/4.23
% 3.81/4.23 subsumption: (0) {G0,W8,D2,L2,V3,M2} I { ! coll( X, Y, Z ), coll( X, Z, Y )
% 3.81/4.23 }.
% 3.81/4.23 parent0: (24443) {G0,W8,D2,L2,V3,M2} { ! coll( X, Y, Z ), coll( X, Z, Y )
% 3.81/4.23 }.
% 3.81/4.23 substitution0:
% 3.81/4.23 X := X
% 3.81/4.23 Y := Y
% 3.81/4.23 Z := Z
% 3.81/4.23 end
% 3.81/4.23 permutation0:
% 3.81/4.23 0 ==> 0
% 3.81/4.23 1 ==> 1
% 3.81/4.23 end
% 3.81/4.23
% 3.81/4.23 subsumption: (1) {G0,W8,D2,L2,V3,M2} I { ! coll( X, Y, Z ), coll( Y, X, Z )
% 3.81/4.23 }.
% 3.81/4.23 parent0: (24444) {G0,W8,D2,L2,V3,M2} { ! coll( X, Y, Z ), coll( Y, X, Z )
% 3.81/4.23 }.
% 3.81/4.23 substitution0:
% 3.81/4.23 X := X
% 3.81/4.23 Y := Y
% 3.81/4.23 Z := Z
% 3.81/4.23 end
% 3.81/4.23 permutation0:
% 3.81/4.23 0 ==> 0
% 3.81/4.23 1 ==> 1
% 3.81/4.23 end
% 3.81/4.23
% 3.81/4.23 subsumption: (2) {G0,W12,D2,L3,V4,M3} I { ! coll( X, T, Y ), ! coll( X, T,
% 3.81/4.23 Z ), coll( Y, Z, X ) }.
% 3.81/4.23 parent0: (24445) {G0,W12,D2,L3,V4,M3} { ! coll( X, T, Y ), ! coll( X, T, Z
% 3.81/4.23 ), coll( Y, Z, X ) }.
% 3.81/4.23 substitution0:
% 3.81/4.23 X := X
% 3.81/4.23 Y := Y
% 3.81/4.23 Z := Z
% 3.81/4.23 T := T
% 3.81/4.23 end
% 3.81/4.23 permutation0:
% 3.81/4.23 0 ==> 0
% 3.81/4.23 1 ==> 1
% 3.81/4.23 2 ==> 2
% 3.81/4.23 end
% 3.81/4.23
% 3.81/4.23 subsumption: (4) {G0,W10,D2,L2,V4,M2} I { ! para( X, Y, Z, T ), para( Z, T
% 3.81/4.23 , X, Y ) }.
% 3.81/4.23 parent0: (24447) {G0,W10,D2,L2,V4,M2} { ! para( X, Y, Z, T ), para( Z, T,
% 3.81/4.23 X, Y ) }.
% 3.81/4.23 substitution0:
% 3.81/4.23 X := X
% 3.81/4.23 Y := Y
% 3.81/4.23 Z := Z
% 3.81/4.23 T := T
% 3.81/4.23 end
% 3.81/4.23 permutation0:
% 3.81/4.23 0 ==> 0
% 3.81/4.23 1 ==> 1
% 3.81/4.23 end
% 3.81/4.23
% 3.81/4.23 subsumption: (5) {G0,W15,D2,L3,V6,M3} I { ! para( X, Y, U, W ), ! para( U,
% 3.81/4.23 W, Z, T ), para( X, Y, Z, T ) }.
% 3.81/4.23 parent0: (24448) {G0,W15,D2,L3,V6,M3} { ! para( X, Y, U, W ), ! para( U, W
% 3.81/4.23 , Z, T ), para( X, Y, Z, T ) }.
% 3.81/4.23 substitution0:
% 3.81/4.23 X := X
% 3.81/4.23 Y := Y
% 3.81/4.23 Z := Z
% 3.81/4.23 T := T
% 3.81/4.23 U := U
% 3.81/4.23 W := W
% 3.81/4.23 end
% 3.81/4.23 permutation0:
% 3.81/4.23 0 ==> 0
% 3.81/4.23 1 ==> 1
% 3.81/4.23 2 ==> 2
% 3.81/4.23 end
% 3.81/4.23
% 3.81/4.23 subsumption: (6) {G0,W10,D2,L2,V4,M2} I { ! perp( X, Y, Z, T ), perp( X, Y
% 3.81/4.23 , T, Z ) }.
% 3.81/4.23 parent0: (24449) {G0,W10,D2,L2,V4,M2} { ! perp( X, Y, Z, T ), perp( X, Y,
% 3.81/4.23 T, Z ) }.
% 3.81/4.23 substitution0:
% 3.81/4.23 X := X
% 3.81/4.23 Y := Y
% 3.81/4.23 Z := Z
% 3.81/4.23 T := T
% 3.81/4.23 end
% 3.81/4.23 permutation0:
% 3.81/4.23 0 ==> 0
% 3.81/4.23 1 ==> 1
% 3.81/4.23 end
% 3.81/4.23
% 3.81/4.23 subsumption: (7) {G0,W10,D2,L2,V4,M2} I { ! perp( X, Y, Z, T ), perp( Z, T
% 3.81/4.23 , X, Y ) }.
% 3.81/4.23 parent0: (24450) {G0,W10,D2,L2,V4,M2} { ! perp( X, Y, Z, T ), perp( Z, T,
% 3.81/4.23 X, Y ) }.
% 3.81/4.23 substitution0:
% 3.81/4.23 X := X
% 3.81/4.23 Y := Y
% 3.81/4.23 Z := Z
% 3.81/4.23 T := T
% 3.81/4.23 end
% 3.81/4.23 permutation0:
% 3.81/4.23 0 ==> 0
% 3.81/4.23 1 ==> 1
% 3.81/4.23 end
% 3.81/4.23
% 3.81/4.23 subsumption: (8) {G0,W15,D2,L3,V6,M3} I { ! perp( X, Y, U, W ), ! perp( U,
% 3.81/4.23 W, Z, T ), para( X, Y, Z, T ) }.
% 3.81/4.23 parent0: (24451) {G0,W15,D2,L3,V6,M3} { ! perp( X, Y, U, W ), ! perp( U, W
% 3.81/4.23 , Z, T ), para( X, Y, Z, T ) }.
% 3.81/4.23 substitution0:
% 3.81/4.23 X := X
% 3.81/4.23 Y := Y
% 3.81/4.23 Z := Z
% 3.81/4.23 T := T
% 3.81/4.23 U := U
% 3.81/4.23 W := W
% 3.81/4.23 end
% 3.81/4.23 permutation0:
% 3.81/4.23 0 ==> 0
% 3.81/4.23 1 ==> 1
% 3.81/4.23 2 ==> 2
% 3.81/4.23 end
% 3.81/4.23
% 3.81/4.23 subsumption: (9) {G0,W15,D2,L3,V6,M3} I { ! para( X, Y, U, W ), ! perp( U,
% 3.81/4.23 W, Z, T ), perp( X, Y, Z, T ) }.
% 3.81/4.23 parent0: (24452) {G0,W15,D2,L3,V6,M3} { ! para( X, Y, U, W ), ! perp( U, W
% 3.81/4.23 , Z, T ), perp( X, Y, Z, T ) }.
% 3.81/4.23 substitution0:
% 3.81/4.23 X := X
% 3.81/4.23 Y := Y
% 3.81/4.23 Z := Z
% 3.81/4.23 T := T
% 3.81/4.23 U := U
% 3.81/4.23 W := W
% 3.81/4.23 end
% 3.81/4.23 permutation0:
% 3.81/4.23 0 ==> 0
% 3.81/4.23 1 ==> 1
% 3.81/4.23 2 ==> 2
% 3.81/4.23 end
% 3.81/4.23
% 3.81/4.23 subsumption: (10) {G0,W8,D2,L2,V3,M2} I { ! midp( Z, Y, X ), midp( Z, X, Y
% 3.81/4.23 ) }.
% 3.81/4.23 parent0: (24453) {G0,W8,D2,L2,V3,M2} { ! midp( Z, Y, X ), midp( Z, X, Y )
% 3.81/4.23 }.
% 3.81/4.23 substitution0:
% 3.81/4.23 X := X
% 3.81/4.23 Y := Y
% 3.81/4.23 Z := Z
% 3.81/4.23 end
% 3.81/4.23 permutation0:
% 3.81/4.23 0 ==> 0
% 3.81/4.23 1 ==> 1
% 3.81/4.23 end
% 3.81/4.23
% 3.81/4.23 subsumption: (11) {G0,W15,D2,L3,V4,M3} I { ! cong( T, X, T, Y ), ! cong( T
% 3.81/4.23 , X, T, Z ), circle( T, X, Y, Z ) }.
% 3.81/4.23 parent0: (24454) {G0,W15,D2,L3,V4,M3} { ! cong( T, X, T, Y ), ! cong( T, X
% 3.81/4.23 , T, Z ), circle( T, X, Y, Z ) }.
% 3.81/4.23 substitution0:
% 3.81/4.23 X := X
% 3.81/4.23 Y := Y
% 3.81/4.23 Z := Z
% 3.81/4.23 T := T
% 3.81/4.23 end
% 3.81/4.23 permutation0:
% 3.81/4.23 0 ==> 0
% 3.81/4.23 1 ==> 1
% 3.81/4.23 2 ==> 2
% 3.81/4.23 end
% 3.81/4.23
% 3.81/4.23 subsumption: (13) {G0,W10,D2,L2,V4,M2} I { ! cyclic( X, Y, Z, T ), cyclic(
% 3.81/4.23 X, Y, T, Z ) }.
% 3.81/4.23 parent0: (24456) {G0,W10,D2,L2,V4,M2} { ! cyclic( X, Y, Z, T ), cyclic( X
% 3.81/4.23 , Y, T, Z ) }.
% 3.81/4.23 substitution0:
% 3.81/4.23 X := X
% 3.81/4.23 Y := Y
% 3.81/4.23 Z := Z
% 3.81/4.23 T := T
% 3.81/4.23 end
% 3.81/4.23 permutation0:
% 3.81/4.23 0 ==> 0
% 3.81/4.23 1 ==> 1
% 3.81/4.23 end
% 3.81/4.23
% 3.81/4.23 subsumption: (14) {G0,W10,D2,L2,V4,M2} I { ! cyclic( X, Y, Z, T ), cyclic(
% 3.81/4.23 X, Z, Y, T ) }.
% 3.81/4.23 parent0: (24457) {G0,W10,D2,L2,V4,M2} { ! cyclic( X, Y, Z, T ), cyclic( X
% 3.81/4.23 , Z, Y, T ) }.
% 3.81/4.23 substitution0:
% 3.81/4.23 X := X
% 3.81/4.23 Y := Y
% 3.81/4.23 Z := Z
% 3.81/4.23 T := T
% 3.81/4.23 end
% 3.81/4.23 permutation0:
% 3.81/4.23 0 ==> 0
% 3.81/4.23 1 ==> 1
% 3.81/4.23 end
% 3.81/4.23
% 3.81/4.23 subsumption: (15) {G0,W10,D2,L2,V4,M2} I { ! cyclic( X, Y, Z, T ), cyclic(
% 3.81/4.23 Y, X, Z, T ) }.
% 3.81/4.23 parent0: (24458) {G0,W10,D2,L2,V4,M2} { ! cyclic( X, Y, Z, T ), cyclic( Y
% 3.81/4.23 , X, Z, T ) }.
% 3.81/4.23 substitution0:
% 3.81/4.23 X := X
% 3.81/4.23 Y := Y
% 3.81/4.23 Z := Z
% 3.81/4.23 T := T
% 3.81/4.23 end
% 3.81/4.23 permutation0:
% 3.81/4.23 0 ==> 0
% 3.81/4.23 1 ==> 1
% 3.81/4.23 end
% 3.81/4.23
% 3.81/4.23 subsumption: (16) {G0,W15,D2,L3,V5,M3} I { ! cyclic( U, X, Y, Z ), ! cyclic
% 3.81/4.23 ( U, X, Y, T ), cyclic( X, Y, Z, T ) }.
% 3.81/4.23 parent0: (24459) {G0,W15,D2,L3,V5,M3} { ! cyclic( U, X, Y, Z ), ! cyclic(
% 3.81/4.23 U, X, Y, T ), cyclic( X, Y, Z, T ) }.
% 3.81/4.23 substitution0:
% 3.81/4.23 X := X
% 3.81/4.23 Y := Y
% 3.81/4.23 Z := Z
% 3.81/4.23 T := T
% 3.81/4.23 U := U
% 3.81/4.23 end
% 3.81/4.23 permutation0:
% 3.81/4.23 0 ==> 0
% 3.81/4.23 1 ==> 1
% 3.81/4.23 2 ==> 2
% 3.81/4.23 end
% 3.81/4.23
% 3.81/4.23 subsumption: (17) {G0,W18,D2,L2,V8,M2} I { ! eqangle( X, Y, Z, T, U, W, V0
% 3.81/4.23 , V1 ), eqangle( Y, X, Z, T, U, W, V0, V1 ) }.
% 3.81/4.23 parent0: (24460) {G0,W18,D2,L2,V8,M2} { ! eqangle( X, Y, Z, T, U, W, V0,
% 3.81/4.23 V1 ), eqangle( Y, X, Z, T, U, W, V0, V1 ) }.
% 3.81/4.23 substitution0:
% 3.81/4.23 X := X
% 3.81/4.23 Y := Y
% 3.81/4.23 Z := Z
% 3.81/4.23 T := T
% 3.81/4.23 U := U
% 3.81/4.23 W := W
% 3.81/4.23 V0 := V0
% 3.81/4.23 V1 := V1
% 3.81/4.23 end
% 3.81/4.23 permutation0:
% 3.81/4.23 0 ==> 0
% 3.81/4.23 1 ==> 1
% 3.81/4.23 end
% 3.81/4.23
% 3.81/4.23 subsumption: (19) {G0,W18,D2,L2,V8,M2} I { ! eqangle( X, Y, Z, T, U, W, V0
% 3.81/4.23 , V1 ), eqangle( U, W, V0, V1, X, Y, Z, T ) }.
% 3.81/4.23 parent0: (24462) {G0,W18,D2,L2,V8,M2} { ! eqangle( X, Y, Z, T, U, W, V0,
% 3.81/4.23 V1 ), eqangle( U, W, V0, V1, X, Y, Z, T ) }.
% 3.81/4.23 substitution0:
% 3.81/4.23 X := X
% 3.81/4.23 Y := Y
% 3.81/4.23 Z := Z
% 3.81/4.23 T := T
% 3.81/4.23 U := U
% 3.81/4.23 W := W
% 3.81/4.23 V0 := V0
% 3.81/4.23 V1 := V1
% 3.81/4.23 end
% 3.81/4.23 permutation0:
% 3.81/4.23 0 ==> 0
% 3.81/4.23 1 ==> 1
% 3.81/4.23 end
% 3.81/4.23
% 3.81/4.23 subsumption: (20) {G0,W18,D2,L2,V8,M2} I { ! eqangle( X, Y, Z, T, U, W, V0
% 3.81/4.23 , V1 ), eqangle( X, Y, U, W, Z, T, V0, V1 ) }.
% 3.81/4.23 parent0: (24463) {G0,W18,D2,L2,V8,M2} { ! eqangle( X, Y, Z, T, U, W, V0,
% 3.81/4.23 V1 ), eqangle( X, Y, U, W, Z, T, V0, V1 ) }.
% 3.81/4.23 substitution0:
% 3.81/4.23 X := X
% 3.81/4.23 Y := Y
% 3.81/4.23 Z := Z
% 3.81/4.23 T := T
% 3.81/4.23 U := U
% 3.81/4.23 W := W
% 3.81/4.23 V0 := V0
% 3.81/4.23 V1 := V1
% 3.81/4.23 end
% 3.81/4.23 permutation0:
% 3.81/4.23 0 ==> 0
% 3.81/4.23 1 ==> 1
% 3.81/4.23 end
% 3.81/4.23
% 3.81/4.23 subsumption: (39) {G0,W14,D2,L2,V6,M2} I { ! para( X, Y, Z, T ), eqangle( X
% 3.81/4.23 , Y, U, W, Z, T, U, W ) }.
% 3.81/4.23 parent0: (24482) {G0,W14,D2,L2,V6,M2} { ! para( X, Y, Z, T ), eqangle( X,
% 3.81/4.23 Y, U, W, Z, T, U, W ) }.
% 3.81/4.23 substitution0:
% 3.81/4.23 X := X
% 3.81/4.23 Y := Y
% 3.81/4.23 Z := Z
% 3.81/4.23 T := T
% 3.81/4.23 U := U
% 3.81/4.23 W := W
% 3.81/4.23 end
% 3.81/4.23 permutation0:
% 3.81/4.23 0 ==> 0
% 3.81/4.23 1 ==> 1
% 3.81/4.23 end
% 3.81/4.23
% 3.81/4.23 subsumption: (40) {G0,W14,D2,L2,V4,M2} I { ! cyclic( X, Y, Z, T ), eqangle
% 3.81/4.23 ( Z, X, Z, Y, T, X, T, Y ) }.
% 3.81/4.23 parent0: (24483) {G0,W14,D2,L2,V4,M2} { ! cyclic( X, Y, Z, T ), eqangle( Z
% 3.81/4.23 , X, Z, Y, T, X, T, Y ) }.
% 3.81/4.23 substitution0:
% 3.81/4.23 X := X
% 3.81/4.23 Y := Y
% 3.81/4.23 Z := Z
% 3.81/4.23 T := T
% 3.81/4.23 end
% 3.81/4.23 permutation0:
% 3.81/4.23 0 ==> 0
% 3.81/4.23 1 ==> 1
% 3.81/4.23 end
% 3.81/4.23
% 3.81/4.23 subsumption: (42) {G0,W18,D2,L3,V4,M3} I { ! eqangle( Z, X, Z, Y, T, X, T,
% 3.81/4.23 Y ), ! coll( Z, T, Y ), cyclic( X, Y, Z, T ) }.
% 3.81/4.23 parent0: (24485) {G0,W18,D2,L3,V4,M3} { ! eqangle( Z, X, Z, Y, T, X, T, Y
% 3.81/4.23 ), ! coll( Z, T, Y ), cyclic( X, Y, Z, T ) }.
% 3.81/4.23 substitution0:
% 3.81/4.23 X := X
% 3.81/4.23 Y := Y
% 3.81/4.23 Z := Z
% 3.81/4.23 T := T
% 3.81/4.23 end
% 3.81/4.23 permutation0:
% 3.81/4.23 0 ==> 0
% 3.81/4.23 1 ==> 1
% 3.81/4.23 2 ==> 2
% 3.81/4.23 end
% 3.81/4.23
% 3.81/4.23 subsumption: (43) {G0,W29,D2,L5,V6,M5} I { ! cyclic( X, Y, U, Z ), ! cyclic
% 3.81/4.23 ( X, Y, U, T ), ! cyclic( X, Y, U, W ), ! eqangle( U, X, U, Y, W, Z, W, T
% 3.81/4.23 ), cong( X, Y, Z, T ) }.
% 3.81/4.23 parent0: (24486) {G0,W29,D2,L5,V6,M5} { ! cyclic( X, Y, U, Z ), ! cyclic(
% 3.81/4.23 X, Y, U, T ), ! cyclic( X, Y, U, W ), ! eqangle( U, X, U, Y, W, Z, W, T )
% 3.81/4.23 , cong( X, Y, Z, T ) }.
% 3.81/4.23 substitution0:
% 3.81/4.23 X := X
% 3.81/4.23 Y := Y
% 3.81/4.23 Z := Z
% 3.81/4.23 T := T
% 3.81/4.23 U := U
% 3.81/4.23 W := W
% 3.81/4.23 end
% 3.81/4.23 permutation0:
% 3.81/4.23 0 ==> 0
% 3.81/4.23 1 ==> 1
% 3.81/4.23 2 ==> 2
% 3.81/4.23 3 ==> 3
% 3.81/4.23 4 ==> 4
% 3.81/4.23 end
% 3.81/4.23
% 3.81/4.23 subsumption: (53) {G0,W14,D2,L3,V4,M3} I { ! circle( T, X, Y, Z ), ! coll(
% 3.81/4.23 T, X, Z ), perp( X, Y, Y, Z ) }.
% 3.81/4.23 parent0: (24496) {G0,W14,D2,L3,V4,M3} { ! circle( T, X, Y, Z ), ! coll( T
% 3.81/4.23 , X, Z ), perp( X, Y, Y, Z ) }.
% 3.81/4.23 substitution0:
% 3.81/4.23 X := X
% 3.81/4.23 Y := Y
% 3.81/4.23 Z := Z
% 3.81/4.23 T := T
% 3.81/4.23 end
% 3.81/4.23 permutation0:
% 3.81/4.23 0 ==> 0
% 3.81/4.23 1 ==> 1
% 3.81/4.23 2 ==> 2
% 3.81/4.23 end
% 3.81/4.23
% 3.81/4.23 subsumption: (56) {G0,W15,D2,L3,V4,M3} I { ! cong( X, Z, Y, Z ), ! cong( X
% 3.81/4.23 , T, Y, T ), perp( X, Y, Z, T ) }.
% 3.81/4.23 parent0: (24499) {G0,W15,D2,L3,V4,M3} { ! cong( X, Z, Y, Z ), ! cong( X, T
% 3.81/4.23 , Y, T ), perp( X, Y, Z, T ) }.
% 3.81/4.23 substitution0:
% 3.81/4.23 X := X
% 3.81/4.23 Y := Y
% 3.81/4.23 Z := Z
% 3.81/4.23 T := T
% 3.81/4.23 end
% 3.81/4.23 permutation0:
% 3.81/4.23 0 ==> 0
% 3.81/4.23 1 ==> 1
% 3.81/4.23 2 ==> 2
% 3.81/4.23 end
% 3.81/4.23
% 3.81/4.23 subsumption: (63) {G0,W13,D2,L3,V5,M3} I { ! midp( U, X, Y ), ! midp( U, Z
% 3.81/4.23 , T ), para( X, Z, Y, T ) }.
% 3.81/4.23 parent0: (24506) {G0,W13,D2,L3,V5,M3} { ! midp( U, X, Y ), ! midp( U, Z, T
% 3.81/4.23 ), para( X, Z, Y, T ) }.
% 3.81/4.23 substitution0:
% 3.81/4.23 X := X
% 3.81/4.23 Y := Y
% 3.81/4.23 Z := Z
% 3.81/4.23 T := T
% 3.81/4.23 U := U
% 3.81/4.23 end
% 3.81/4.23 permutation0:
% 3.81/4.23 0 ==> 0
% 3.81/4.23 1 ==> 1
% 3.81/4.23 2 ==> 2
% 3.81/4.23 end
% 3.81/4.23
% 3.81/4.23 subsumption: (68) {G0,W9,D2,L2,V3,M2} I { ! midp( X, Y, Z ), cong( X, Y, X
% 3.81/4.23 , Z ) }.
% 3.81/4.23 parent0: (24511) {G0,W9,D2,L2,V3,M2} { ! midp( X, Y, Z ), cong( X, Y, X, Z
% 3.81/4.23 ) }.
% 3.81/4.23 substitution0:
% 3.81/4.23 X := X
% 3.81/4.23 Y := Y
% 3.81/4.23 Z := Z
% 3.81/4.23 end
% 3.81/4.23 permutation0:
% 3.81/4.23 0 ==> 0
% 3.81/4.23 1 ==> 1
% 3.81/4.23 end
% 3.81/4.23
% 3.81/4.23 subsumption: (69) {G0,W8,D2,L2,V3,M2} I { ! midp( X, Y, Z ), coll( X, Y, Z
% 3.81/4.23 ) }.
% 3.81/4.23 parent0: (24512) {G0,W8,D2,L2,V3,M2} { ! midp( X, Y, Z ), coll( X, Y, Z )
% 3.81/4.23 }.
% 3.81/4.23 substitution0:
% 3.81/4.23 X := X
% 3.81/4.23 Y := Y
% 3.81/4.23 Z := Z
% 3.81/4.23 end
% 3.81/4.23 permutation0:
% 3.81/4.23 0 ==> 0
% 3.81/4.23 1 ==> 1
% 3.81/4.23 end
% 3.81/4.23
% 3.81/4.23 subsumption: (72) {G0,W19,D2,L3,V8,M3} I { ! eqangle( X, Y, Z, T, U, W, V0
% 3.81/4.23 , V1 ), ! para( U, W, V0, V1 ), para( X, Y, Z, T ) }.
% 3.81/4.23 parent0: (24516) {G0,W19,D2,L3,V8,M3} { ! eqangle( X, Y, Z, T, U, W, V0,
% 3.81/4.23 V1 ), ! para( U, W, V0, V1 ), para( X, Y, Z, T ) }.
% 3.81/4.23 substitution0:
% 3.81/4.23 X := X
% 3.81/4.23 Y := Y
% 3.81/4.23 Z := Z
% 3.81/4.23 T := T
% 3.81/4.23 U := U
% 3.81/4.23 W := W
% 3.81/4.23 V0 := V0
% 3.81/4.23 V1 := V1
% 3.81/4.23 end
% 3.81/4.23 permutation0:
% 3.81/4.23 0 ==> 0
% 3.81/4.23 1 ==> 1
% 3.81/4.23 2 ==> 2
% 3.81/4.23 end
% 3.81/4.23
% 3.81/4.23 subsumption: (88) {G0,W22,D3,L5,V7,M5} I { ! midp( Z, X, Y ), ! midp( W, T
% 3.81/4.23 , U ), ! coll( T, X, Y ), ! coll( U, X, Y ), midp( skol7( X, V0 ), X, V0
% 3.81/4.23 ) }.
% 3.81/4.23 parent0: (24532) {G0,W22,D3,L5,V7,M5} { ! midp( Z, X, Y ), ! midp( W, T, U
% 3.81/4.23 ), ! coll( T, X, Y ), ! coll( U, X, Y ), midp( skol7( X, V0 ), X, V0 )
% 3.81/4.23 }.
% 3.81/4.23 substitution0:
% 3.81/4.23 X := X
% 3.81/4.23 Y := Y
% 3.81/4.23 Z := Z
% 3.81/4.23 T := T
% 3.81/4.23 U := U
% 3.81/4.23 W := W
% 3.81/4.23 V0 := V0
% 3.81/4.23 end
% 3.81/4.23 permutation0:
% 3.81/4.23 0 ==> 0
% 3.81/4.23 1 ==> 1
% 3.81/4.23 2 ==> 2
% 3.81/4.23 3 ==> 3
% 3.81/4.23 4 ==> 4
% 3.81/4.23 end
% 3.81/4.23
% 3.81/4.23 subsumption: (110) {G0,W17,D3,L3,V5,M3} I { ! perp( X, U, U, T ), ! coll( T
% 3.81/4.23 , Y, Z ), perp( skol16( X, Y, Z ), X, Y, Z ) }.
% 3.81/4.23 parent0: (24554) {G0,W17,D3,L3,V5,M3} { ! perp( X, U, U, T ), ! coll( T, Y
% 3.81/4.23 , Z ), perp( skol16( X, Y, Z ), X, Y, Z ) }.
% 3.81/4.23 substitution0:
% 3.81/4.23 X := X
% 3.81/4.23 Y := Y
% 3.81/4.23 Z := Z
% 3.81/4.23 T := T
% 3.81/4.23 U := U
% 3.81/4.23 end
% 3.81/4.23 permutation0:
% 3.81/4.23 0 ==> 0
% 3.81/4.23 1 ==> 1
% 3.81/4.23 2 ==> 2
% 3.81/4.23 end
% 3.81/4.23
% 3.81/4.23 subsumption: (117) {G0,W4,D2,L1,V0,M1} I { midp( skol28, skol26, skol25 )
% 3.81/4.23 }.
% 3.81/4.23 parent0: (24561) {G0,W4,D2,L1,V0,M1} { midp( skol28, skol26, skol25 ) }.
% 3.81/4.23 substitution0:
% 3.81/4.23 end
% 3.81/4.23 permutation0:
% 3.81/4.23 0 ==> 0
% 3.81/4.23 end
% 3.81/4.23
% 3.81/4.23 subsumption: (125) {G0,W5,D2,L1,V0,M1} I { ! perp( skol20, skol22, skol22,
% 3.81/4.23 skol23 ) }.
% 3.81/4.23 parent0: (24569) {G0,W5,D2,L1,V0,M1} { ! perp( skol20, skol22, skol22,
% 3.81/4.23 skol23 ) }.
% 3.81/4.23 substitution0:
% 3.81/4.23 end
% 3.81/4.23 permutation0:
% 3.81/4.23 0 ==> 0
% 3.81/4.23 end
% 3.81/4.23
% 3.81/4.23 factor: (25028) {G0,W10,D2,L2,V3,M2} { ! cong( X, Y, X, Z ), circle( X, Y
% 3.81/4.23 , Z, Z ) }.
% 3.81/4.23 parent0[0, 1]: (11) {G0,W15,D2,L3,V4,M3} I { ! cong( T, X, T, Y ), ! cong(
% 3.81/4.23 T, X, T, Z ), circle( T, X, Y, Z ) }.
% 3.81/4.23 substitution0:
% 3.81/4.23 X := Y
% 3.81/4.23 Y := Z
% 3.81/4.23 Z := Z
% 3.81/4.23 T := X
% 3.81/4.23 end
% 3.81/4.23
% 3.81/4.23 subsumption: (128) {G1,W10,D2,L2,V3,M2} F(11) { ! cong( X, Y, X, Z ),
% 3.81/4.23 circle( X, Y, Z, Z ) }.
% 3.81/4.23 parent0: (25028) {G0,W10,D2,L2,V3,M2} { ! cong( X, Y, X, Z ), circle( X, Y
% 3.81/4.23 , Z, Z ) }.
% 3.81/4.23 substitution0:
% 3.81/4.23 X := X
% 3.81/4.23 Y := Y
% 3.81/4.23 Z := Z
% 3.81/4.23 end
% 3.81/4.23 permutation0:
% 3.81/4.23 0 ==> 0
% 3.81/4.23 1 ==> 1
% 3.81/4.23 end
% 3.81/4.23
% 3.81/4.23 factor: (25029) {G0,W9,D2,L2,V3,M2} { ! midp( X, Y, Z ), para( Y, Y, Z, Z
% 3.81/4.23 ) }.
% 3.81/4.23 parent0[0, 1]: (63) {G0,W13,D2,L3,V5,M3} I { ! midp( U, X, Y ), ! midp( U,
% 3.81/4.23 Z, T ), para( X, Z, Y, T ) }.
% 3.81/4.23 substitution0:
% 3.81/4.23 X := Y
% 3.81/4.23 Y := Z
% 3.81/4.23 Z := Y
% 3.81/4.23 T := Z
% 3.81/4.23 U := X
% 3.81/4.23 end
% 3.81/4.23
% 3.81/4.23 subsumption: (141) {G1,W9,D2,L2,V3,M2} F(63) { ! midp( X, Y, Z ), para( Y,
% 3.81/4.23 Y, Z, Z ) }.
% 3.81/4.23 parent0: (25029) {G0,W9,D2,L2,V3,M2} { ! midp( X, Y, Z ), para( Y, Y, Z, Z
% 3.81/4.23 ) }.
% 3.81/4.23 substitution0:
% 3.81/4.23 X := X
% 3.81/4.23 Y := Y
% 3.81/4.23 Z := Z
% 3.81/4.23 end
% 3.81/4.23 permutation0:
% 3.81/4.23 0 ==> 0
% 3.81/4.23 1 ==> 1
% 3.81/4.23 end
% 3.81/4.23
% 3.81/4.23 factor: (25030) {G0,W18,D3,L4,V4,M4} { ! midp( X, Y, Z ), ! coll( Y, Y, Z
% 3.81/4.23 ), ! coll( Z, Y, Z ), midp( skol7( Y, T ), Y, T ) }.
% 3.81/4.23 parent0[0, 1]: (88) {G0,W22,D3,L5,V7,M5} I { ! midp( Z, X, Y ), ! midp( W,
% 3.81/4.23 T, U ), ! coll( T, X, Y ), ! coll( U, X, Y ), midp( skol7( X, V0 ), X, V0
% 3.81/4.23 ) }.
% 3.81/4.23 substitution0:
% 3.81/4.23 X := Y
% 3.81/4.23 Y := Z
% 3.81/4.23 Z := X
% 3.81/4.23 T := Y
% 3.81/4.23 U := Z
% 3.81/4.23 W := X
% 3.81/4.23 V0 := T
% 3.81/4.23 end
% 3.81/4.23
% 3.81/4.23 subsumption: (148) {G1,W18,D3,L4,V4,M4} F(88) { ! midp( X, Y, Z ), ! coll(
% 3.81/4.23 Y, Y, Z ), ! coll( Z, Y, Z ), midp( skol7( Y, T ), Y, T ) }.
% 3.81/4.23 parent0: (25030) {G0,W18,D3,L4,V4,M4} { ! midp( X, Y, Z ), ! coll( Y, Y, Z
% 3.81/4.23 ), ! coll( Z, Y, Z ), midp( skol7( Y, T ), Y, T ) }.
% 3.81/4.23 substitution0:
% 3.81/4.23 X := X
% 3.81/4.23 Y := Y
% 3.81/4.23 Z := Z
% 3.81/4.23 T := T
% 3.81/4.23 end
% 3.81/4.23 permutation0:
% 3.81/4.23 0 ==> 0
% 3.81/4.23 1 ==> 1
% 3.81/4.23 2 ==> 2
% 3.81/4.23 3 ==> 3
% 3.81/4.23 end
% 3.81/4.23
% 3.81/4.23 resolution: (25033) {G1,W8,D2,L2,V3,M2} { coll( Y, X, Z ), ! coll( X, Z, Y
% 3.81/4.23 ) }.
% 3.81/4.23 parent0[0]: (1) {G0,W8,D2,L2,V3,M2} I { ! coll( X, Y, Z ), coll( Y, X, Z )
% 3.81/4.23 }.
% 3.81/4.23 parent1[1]: (0) {G0,W8,D2,L2,V3,M2} I { ! coll( X, Y, Z ), coll( X, Z, Y )
% 3.81/4.23 }.
% 3.81/4.23 substitution0:
% 3.81/4.23 X := X
% 3.81/4.23 Y := Y
% 3.81/4.23 Z := Z
% 3.81/4.23 end
% 3.81/4.23 substitution1:
% 3.81/4.23 X := X
% 3.81/4.23 Y := Z
% 3.81/4.23 Z := Y
% 3.81/4.23 end
% 3.81/4.23
% 3.81/4.23 subsumption: (169) {G1,W8,D2,L2,V3,M2} R(1,0) { coll( X, Y, Z ), ! coll( Y
% 3.81/4.23 , Z, X ) }.
% 3.81/4.23 parent0: (25033) {G1,W8,D2,L2,V3,M2} { coll( Y, X, Z ), ! coll( X, Z, Y )
% 3.81/4.23 }.
% 3.81/4.23 substitution0:
% 3.81/4.23 X := Y
% 3.81/4.23 Y := X
% 3.81/4.23 Z := Z
% 3.81/4.23 end
% 3.81/4.23 permutation0:
% 3.81/4.23 0 ==> 0
% 3.81/4.23 1 ==> 1
% 3.81/4.23 end
% 3.81/4.23
% 3.81/4.23 resolution: (25035) {G1,W8,D2,L2,V3,M2} { coll( X, Z, Y ), ! coll( Y, X, Z
% 3.81/4.23 ) }.
% 3.81/4.23 parent0[0]: (0) {G0,W8,D2,L2,V3,M2} I { ! coll( X, Y, Z ), coll( X, Z, Y )
% 3.81/4.23 }.
% 3.81/4.23 parent1[1]: (1) {G0,W8,D2,L2,V3,M2} I { ! coll( X, Y, Z ), coll( Y, X, Z )
% 3.81/4.23 }.
% 3.81/4.23 substitution0:
% 3.81/4.23 X := X
% 3.81/4.23 Y := Y
% 3.81/4.23 Z := Z
% 3.81/4.23 end
% 3.81/4.23 substitution1:
% 3.81/4.23 X := Y
% 3.81/4.23 Y := X
% 3.81/4.23 Z := Z
% 3.81/4.23 end
% 3.81/4.23
% 3.81/4.23 subsumption: (170) {G1,W8,D2,L2,V3,M2} R(1,0) { ! coll( X, Y, Z ), coll( Y
% 3.81/4.23 , Z, X ) }.
% 3.81/4.23 parent0: (25035) {G1,W8,D2,L2,V3,M2} { coll( X, Z, Y ), ! coll( Y, X, Z )
% 3.81/4.23 }.
% 3.81/4.23 substitution0:
% 3.81/4.23 X := Y
% 3.87/4.23 Y := X
% 3.87/4.23 Z := Z
% 3.87/4.23 end
% 3.87/4.23 permutation0:
% 3.87/4.23 0 ==> 1
% 3.87/4.23 1 ==> 0
% 3.87/4.23 end
% 3.87/4.23
% 3.87/4.23 resolution: (25039) {G1,W12,D2,L3,V4,M3} { coll( X, Z, Y ), ! coll( Z, T,
% 3.87/4.23 X ), ! coll( Z, T, Y ) }.
% 3.87/4.23 parent0[0]: (0) {G0,W8,D2,L2,V3,M2} I { ! coll( X, Y, Z ), coll( X, Z, Y )
% 3.87/4.23 }.
% 3.87/4.23 parent1[2]: (2) {G0,W12,D2,L3,V4,M3} I { ! coll( X, T, Y ), ! coll( X, T, Z
% 3.87/4.23 ), coll( Y, Z, X ) }.
% 3.87/4.23 substitution0:
% 3.87/4.23 X := X
% 3.87/4.23 Y := Y
% 3.87/4.23 Z := Z
% 3.87/4.23 end
% 3.87/4.23 substitution1:
% 3.87/4.23 X := Z
% 3.87/4.23 Y := X
% 3.87/4.23 Z := Y
% 3.87/4.23 T := T
% 3.87/4.23 end
% 3.87/4.23
% 3.87/4.23 subsumption: (197) {G1,W12,D2,L3,V4,M3} R(2,0) { ! coll( X, Y, Z ), ! coll
% 3.87/4.23 ( X, Y, T ), coll( Z, X, T ) }.
% 3.87/4.23 parent0: (25039) {G1,W12,D2,L3,V4,M3} { coll( X, Z, Y ), ! coll( Z, T, X )
% 3.87/4.23 , ! coll( Z, T, Y ) }.
% 3.87/4.23 substitution0:
% 3.87/4.23 X := Z
% 3.87/4.23 Y := T
% 3.87/4.23 Z := X
% 3.87/4.23 T := Y
% 3.87/4.23 end
% 3.87/4.23 permutation0:
% 3.87/4.23 0 ==> 2
% 3.87/4.23 1 ==> 0
% 3.87/4.23 2 ==> 1
% 3.87/4.23 end
% 3.87/4.23
% 3.87/4.23 factor: (25041) {G1,W8,D2,L2,V3,M2} { ! coll( X, Y, Z ), coll( Z, X, Z )
% 3.87/4.23 }.
% 3.87/4.23 parent0[0, 1]: (197) {G1,W12,D2,L3,V4,M3} R(2,0) { ! coll( X, Y, Z ), !
% 3.87/4.23 coll( X, Y, T ), coll( Z, X, T ) }.
% 3.87/4.23 substitution0:
% 3.87/4.23 X := X
% 3.87/4.23 Y := Y
% 3.87/4.23 Z := Z
% 3.87/4.23 T := Z
% 3.87/4.23 end
% 3.87/4.23
% 3.87/4.23 subsumption: (204) {G2,W8,D2,L2,V3,M2} F(197) { ! coll( X, Y, Z ), coll( Z
% 3.87/4.23 , X, Z ) }.
% 3.87/4.23 parent0: (25041) {G1,W8,D2,L2,V3,M2} { ! coll( X, Y, Z ), coll( Z, X, Z )
% 3.87/4.23 }.
% 3.87/4.23 substitution0:
% 3.87/4.23 X := X
% 3.87/4.23 Y := Y
% 3.87/4.23 Z := Z
% 3.87/4.23 end
% 3.87/4.23 permutation0:
% 3.87/4.23 0 ==> 0
% 3.87/4.23 1 ==> 1
% 3.87/4.23 end
% 3.87/4.23
% 3.87/4.23 resolution: (25042) {G1,W15,D2,L3,V6,M3} { ! para( Z, T, U, W ), para( X,
% 3.87/4.23 Y, U, W ), ! para( Z, T, X, Y ) }.
% 3.87/4.23 parent0[0]: (5) {G0,W15,D2,L3,V6,M3} I { ! para( X, Y, U, W ), ! para( U, W
% 3.87/4.23 , Z, T ), para( X, Y, Z, T ) }.
% 3.87/4.23 parent1[1]: (4) {G0,W10,D2,L2,V4,M2} I { ! para( X, Y, Z, T ), para( Z, T,
% 3.87/4.23 X, Y ) }.
% 3.87/4.23 substitution0:
% 3.87/4.23 X := X
% 3.87/4.23 Y := Y
% 3.87/4.23 Z := U
% 3.87/4.23 T := W
% 3.87/4.23 U := Z
% 3.87/4.23 W := T
% 3.87/4.23 end
% 3.87/4.23 substitution1:
% 3.87/4.23 X := Z
% 3.87/4.23 Y := T
% 3.87/4.23 Z := X
% 3.87/4.23 T := Y
% 3.87/4.23 end
% 3.87/4.23
% 3.87/4.23 subsumption: (229) {G1,W15,D2,L3,V6,M3} R(5,4) { ! para( X, Y, Z, T ), para
% 3.87/4.23 ( U, W, Z, T ), ! para( X, Y, U, W ) }.
% 3.87/4.23 parent0: (25042) {G1,W15,D2,L3,V6,M3} { ! para( Z, T, U, W ), para( X, Y,
% 3.87/4.23 U, W ), ! para( Z, T, X, Y ) }.
% 3.87/4.23 substitution0:
% 3.87/4.23 X := U
% 3.87/4.23 Y := W
% 3.87/4.23 Z := X
% 3.87/4.23 T := Y
% 3.87/4.23 U := Z
% 3.87/4.23 W := T
% 3.87/4.23 end
% 3.87/4.23 permutation0:
% 3.87/4.23 0 ==> 0
% 3.87/4.23 1 ==> 1
% 3.87/4.23 2 ==> 2
% 3.87/4.23 end
% 3.87/4.23
% 3.87/4.23 resolution: (25047) {G1,W15,D2,L3,V6,M3} { ! para( X, Y, Z, T ), para( X,
% 3.87/4.23 Y, U, W ), ! para( U, W, Z, T ) }.
% 3.87/4.23 parent0[1]: (5) {G0,W15,D2,L3,V6,M3} I { ! para( X, Y, U, W ), ! para( U, W
% 3.87/4.23 , Z, T ), para( X, Y, Z, T ) }.
% 3.87/4.23 parent1[1]: (4) {G0,W10,D2,L2,V4,M2} I { ! para( X, Y, Z, T ), para( Z, T,
% 3.87/4.23 X, Y ) }.
% 3.87/4.23 substitution0:
% 3.87/4.23 X := X
% 3.87/4.23 Y := Y
% 3.87/4.23 Z := U
% 3.87/4.23 T := W
% 3.87/4.23 U := Z
% 3.87/4.23 W := T
% 3.87/4.23 end
% 3.87/4.23 substitution1:
% 3.87/4.23 X := U
% 3.87/4.23 Y := W
% 3.87/4.23 Z := Z
% 3.87/4.23 T := T
% 3.87/4.23 end
% 3.87/4.23
% 3.87/4.23 subsumption: (230) {G1,W15,D2,L3,V6,M3} R(5,4) { ! para( X, Y, Z, T ), para
% 3.87/4.23 ( X, Y, U, W ), ! para( U, W, Z, T ) }.
% 3.87/4.23 parent0: (25047) {G1,W15,D2,L3,V6,M3} { ! para( X, Y, Z, T ), para( X, Y,
% 3.87/4.23 U, W ), ! para( U, W, Z, T ) }.
% 3.87/4.23 substitution0:
% 3.87/4.23 X := X
% 3.87/4.23 Y := Y
% 3.87/4.23 Z := Z
% 3.87/4.23 T := T
% 3.87/4.23 U := U
% 3.87/4.23 W := W
% 3.87/4.23 end
% 3.87/4.23 permutation0:
% 3.87/4.23 0 ==> 0
% 3.87/4.23 1 ==> 1
% 3.87/4.23 2 ==> 2
% 3.87/4.23 end
% 3.87/4.23
% 3.87/4.23 factor: (25050) {G1,W10,D2,L2,V4,M2} { ! para( X, Y, Z, T ), para( X, Y, X
% 3.87/4.23 , Y ) }.
% 3.87/4.23 parent0[0, 2]: (230) {G1,W15,D2,L3,V6,M3} R(5,4) { ! para( X, Y, Z, T ),
% 3.87/4.23 para( X, Y, U, W ), ! para( U, W, Z, T ) }.
% 3.87/4.23 substitution0:
% 3.87/4.23 X := X
% 3.87/4.23 Y := Y
% 3.87/4.23 Z := Z
% 3.87/4.23 T := T
% 3.87/4.23 U := X
% 3.87/4.23 W := Y
% 3.87/4.23 end
% 3.87/4.23
% 3.87/4.23 subsumption: (234) {G2,W10,D2,L2,V4,M2} F(230) { ! para( X, Y, Z, T ), para
% 3.87/4.23 ( X, Y, X, Y ) }.
% 3.87/4.23 parent0: (25050) {G1,W10,D2,L2,V4,M2} { ! para( X, Y, Z, T ), para( X, Y,
% 3.87/4.23 X, Y ) }.
% 3.87/4.23 substitution0:
% 3.87/4.23 X := X
% 3.87/4.23 Y := Y
% 3.87/4.23 Z := Z
% 3.87/4.23 T := T
% 3.87/4.23 end
% 3.87/4.23 permutation0:
% 3.87/4.23 0 ==> 0
% 3.87/4.23 1 ==> 1
% 3.87/4.23 end
% 3.87/4.23
% 3.87/4.23 factor: (25051) {G1,W10,D2,L2,V4,M2} { ! para( X, Y, Z, T ), para( Z, T, Z
% 3.87/4.23 , T ) }.
% 3.87/4.23 parent0[0, 2]: (229) {G1,W15,D2,L3,V6,M3} R(5,4) { ! para( X, Y, Z, T ),
% 3.87/4.23 para( U, W, Z, T ), ! para( X, Y, U, W ) }.
% 3.87/4.23 substitution0:
% 3.87/4.23 X := X
% 3.87/4.23 Y := Y
% 3.87/4.23 Z := Z
% 3.87/4.23 T := T
% 3.87/4.23 U := Z
% 3.87/4.23 W := T
% 3.87/4.23 end
% 3.87/4.23
% 3.87/4.23 subsumption: (235) {G2,W10,D2,L2,V4,M2} F(229) { ! para( X, Y, Z, T ), para
% 3.87/4.23 ( Z, T, Z, T ) }.
% 3.87/4.23 parent0: (25051) {G1,W10,D2,L2,V4,M2} { ! para( X, Y, Z, T ), para( Z, T,
% 3.87/4.23 Z, T ) }.
% 3.87/4.23 substitution0:
% 3.87/4.23 X := X
% 3.87/4.23 Y := Y
% 3.87/4.23 Z := Z
% 3.87/4.23 T := T
% 3.87/4.23 end
% 3.87/4.23 permutation0:
% 3.87/4.23 0 ==> 0
% 3.87/4.23 1 ==> 1
% 3.87/4.23 end
% 3.87/4.23
% 3.87/4.23 resolution: (25052) {G1,W12,D2,L3,V4,M3} { coll( Z, X, Z ), ! coll( Z, T,
% 3.87/4.23 X ), ! coll( Z, T, Y ) }.
% 3.87/4.23 parent0[0]: (204) {G2,W8,D2,L2,V3,M2} F(197) { ! coll( X, Y, Z ), coll( Z,
% 3.87/4.23 X, Z ) }.
% 3.87/4.23 parent1[2]: (2) {G0,W12,D2,L3,V4,M3} I { ! coll( X, T, Y ), ! coll( X, T, Z
% 3.87/4.23 ), coll( Y, Z, X ) }.
% 3.87/4.23 substitution0:
% 3.87/4.23 X := X
% 3.87/4.23 Y := Y
% 3.87/4.23 Z := Z
% 3.87/4.23 end
% 3.87/4.23 substitution1:
% 3.87/4.23 X := Z
% 3.87/4.23 Y := X
% 3.87/4.23 Z := Y
% 3.87/4.23 T := T
% 3.87/4.23 end
% 3.87/4.23
% 3.87/4.23 subsumption: (244) {G3,W12,D2,L3,V4,M3} R(204,2) { coll( X, Y, X ), ! coll
% 3.87/4.23 ( X, Z, Y ), ! coll( X, Z, T ) }.
% 3.87/4.23 parent0: (25052) {G1,W12,D2,L3,V4,M3} { coll( Z, X, Z ), ! coll( Z, T, X )
% 3.87/4.23 , ! coll( Z, T, Y ) }.
% 3.87/4.23 substitution0:
% 3.87/4.23 X := Y
% 3.87/4.23 Y := Y
% 3.87/4.23 Z := X
% 3.87/4.23 T := Z
% 3.87/4.23 end
% 3.87/4.23 permutation0:
% 3.87/4.23 0 ==> 0
% 3.87/4.23 1 ==> 1
% 3.87/4.23 2 ==> 1
% 3.87/4.23 end
% 3.87/4.23
% 3.87/4.23 resolution: (25054) {G1,W8,D2,L2,V3,M2} { coll( Z, X, Z ), ! coll( Y, X, Z
% 3.87/4.23 ) }.
% 3.87/4.23 parent0[0]: (204) {G2,W8,D2,L2,V3,M2} F(197) { ! coll( X, Y, Z ), coll( Z,
% 3.87/4.23 X, Z ) }.
% 3.87/4.23 parent1[1]: (1) {G0,W8,D2,L2,V3,M2} I { ! coll( X, Y, Z ), coll( Y, X, Z )
% 3.87/4.23 }.
% 3.87/4.23 substitution0:
% 3.87/4.23 X := X
% 3.87/4.23 Y := Y
% 3.87/4.23 Z := Z
% 3.87/4.23 end
% 3.87/4.23 substitution1:
% 3.87/4.23 X := Y
% 3.87/4.23 Y := X
% 3.87/4.23 Z := Z
% 3.87/4.23 end
% 3.87/4.23
% 3.87/4.23 subsumption: (249) {G3,W8,D2,L2,V3,M2} R(204,1) { coll( X, Y, X ), ! coll(
% 3.87/4.23 Z, Y, X ) }.
% 3.87/4.23 parent0: (25054) {G1,W8,D2,L2,V3,M2} { coll( Z, X, Z ), ! coll( Y, X, Z )
% 3.87/4.23 }.
% 3.87/4.23 substitution0:
% 3.87/4.23 X := Y
% 3.87/4.23 Y := Z
% 3.87/4.23 Z := X
% 3.87/4.23 end
% 3.87/4.23 permutation0:
% 3.87/4.23 0 ==> 0
% 3.87/4.23 1 ==> 1
% 3.87/4.23 end
% 3.87/4.23
% 3.87/4.23 factor: (25055) {G3,W8,D2,L2,V3,M2} { coll( X, Y, X ), ! coll( X, Z, Y )
% 3.87/4.23 }.
% 3.87/4.23 parent0[1, 2]: (244) {G3,W12,D2,L3,V4,M3} R(204,2) { coll( X, Y, X ), !
% 3.87/4.23 coll( X, Z, Y ), ! coll( X, Z, T ) }.
% 3.87/4.23 substitution0:
% 3.87/4.23 X := X
% 3.87/4.23 Y := Y
% 3.87/4.23 Z := Z
% 3.87/4.23 T := Y
% 3.87/4.23 end
% 3.87/4.23
% 3.87/4.23 subsumption: (258) {G4,W8,D2,L2,V3,M2} F(244) { coll( X, Y, X ), ! coll( X
% 3.87/4.23 , Z, Y ) }.
% 3.87/4.23 parent0: (25055) {G3,W8,D2,L2,V3,M2} { coll( X, Y, X ), ! coll( X, Z, Y )
% 3.87/4.23 }.
% 3.87/4.23 substitution0:
% 3.87/4.23 X := X
% 3.87/4.23 Y := Y
% 3.87/4.23 Z := Z
% 3.87/4.23 end
% 3.87/4.23 permutation0:
% 3.87/4.23 0 ==> 0
% 3.87/4.23 1 ==> 1
% 3.87/4.23 end
% 3.87/4.23
% 3.87/4.23 resolution: (25057) {G1,W10,D2,L2,V4,M2} { perp( X, Y, T, Z ), ! perp( Z,
% 3.87/4.23 T, X, Y ) }.
% 3.87/4.23 parent0[0]: (6) {G0,W10,D2,L2,V4,M2} I { ! perp( X, Y, Z, T ), perp( X, Y,
% 3.87/4.23 T, Z ) }.
% 3.87/4.23 parent1[1]: (7) {G0,W10,D2,L2,V4,M2} I { ! perp( X, Y, Z, T ), perp( Z, T,
% 3.87/4.23 X, Y ) }.
% 3.87/4.23 substitution0:
% 3.87/4.23 X := X
% 3.87/4.23 Y := Y
% 3.87/4.23 Z := Z
% 3.87/4.23 T := T
% 3.87/4.23 end
% 3.87/4.23 substitution1:
% 3.87/4.23 X := Z
% 3.87/4.23 Y := T
% 3.87/4.23 Z := X
% 3.87/4.23 T := Y
% 3.87/4.23 end
% 3.87/4.23
% 3.87/4.23 subsumption: (275) {G1,W10,D2,L2,V4,M2} R(7,6) { ! perp( X, Y, Z, T ), perp
% 3.87/4.23 ( Z, T, Y, X ) }.
% 3.87/4.23 parent0: (25057) {G1,W10,D2,L2,V4,M2} { perp( X, Y, T, Z ), ! perp( Z, T,
% 3.87/4.23 X, Y ) }.
% 3.87/4.23 substitution0:
% 3.87/4.23 X := Z
% 3.87/4.23 Y := T
% 3.87/4.23 Z := X
% 3.87/4.23 T := Y
% 3.87/4.23 end
% 3.87/4.23 permutation0:
% 3.87/4.23 0 ==> 1
% 3.87/4.23 1 ==> 0
% 3.87/4.23 end
% 3.87/4.23
% 3.87/4.23 resolution: (25058) {G1,W5,D2,L1,V0,M1} { ! perp( skol22, skol23, skol20,
% 3.87/4.23 skol22 ) }.
% 3.87/4.23 parent0[0]: (125) {G0,W5,D2,L1,V0,M1} I { ! perp( skol20, skol22, skol22,
% 3.87/4.23 skol23 ) }.
% 3.87/4.23 parent1[1]: (7) {G0,W10,D2,L2,V4,M2} I { ! perp( X, Y, Z, T ), perp( Z, T,
% 3.87/4.23 X, Y ) }.
% 3.87/4.23 substitution0:
% 3.87/4.23 end
% 3.87/4.23 substitution1:
% 3.87/4.23 X := skol22
% 3.87/4.23 Y := skol23
% 3.87/4.23 Z := skol20
% 3.87/4.23 T := skol22
% 3.87/4.23 end
% 3.87/4.23
% 3.87/4.23 subsumption: (278) {G1,W5,D2,L1,V0,M1} R(7,125) { ! perp( skol22, skol23,
% 3.87/4.23 skol20, skol22 ) }.
% 3.87/4.23 parent0: (25058) {G1,W5,D2,L1,V0,M1} { ! perp( skol22, skol23, skol20,
% 3.87/4.23 skol22 ) }.
% 3.87/4.23 substitution0:
% 3.87/4.23 end
% 3.87/4.23 permutation0:
% 3.87/4.23 0 ==> 0
% 3.87/4.23 end
% 3.87/4.23
% 3.87/4.23 resolution: (25059) {G1,W15,D2,L3,V6,M3} { ! perp( Z, T, U, W ), para( X,
% 3.87/4.23 Y, U, W ), ! perp( Z, T, X, Y ) }.
% 3.87/4.23 parent0[0]: (8) {G0,W15,D2,L3,V6,M3} I { ! perp( X, Y, U, W ), ! perp( U, W
% 3.87/4.23 , Z, T ), para( X, Y, Z, T ) }.
% 3.87/4.23 parent1[1]: (7) {G0,W10,D2,L2,V4,M2} I { ! perp( X, Y, Z, T ), perp( Z, T,
% 3.87/4.23 X, Y ) }.
% 3.87/4.23 substitution0:
% 3.87/4.23 X := X
% 3.87/4.23 Y := Y
% 3.87/4.23 Z := U
% 3.87/4.23 T := W
% 3.87/4.23 U := Z
% 3.87/4.23 W := T
% 3.87/4.23 end
% 3.87/4.23 substitution1:
% 3.87/4.23 X := Z
% 3.87/4.23 Y := T
% 3.87/4.23 Z := X
% 3.87/4.23 T := Y
% 3.87/4.23 end
% 3.87/4.23
% 3.87/4.23 subsumption: (286) {G1,W15,D2,L3,V6,M3} R(8,7) { ! perp( X, Y, Z, T ), para
% 3.87/4.23 ( U, W, Z, T ), ! perp( X, Y, U, W ) }.
% 3.87/4.23 parent0: (25059) {G1,W15,D2,L3,V6,M3} { ! perp( Z, T, U, W ), para( X, Y,
% 3.87/4.23 U, W ), ! perp( Z, T, X, Y ) }.
% 3.87/4.23 substitution0:
% 3.87/4.23 X := U
% 3.87/4.23 Y := W
% 3.87/4.23 Z := X
% 3.87/4.23 T := Y
% 3.87/4.23 U := Z
% 3.87/4.23 W := T
% 3.87/4.23 end
% 3.87/4.23 permutation0:
% 3.87/4.23 0 ==> 0
% 3.87/4.23 1 ==> 1
% 3.87/4.23 2 ==> 2
% 3.87/4.23 end
% 3.87/4.23
% 3.87/4.23 resolution: (25063) {G1,W4,D2,L1,V0,M1} { midp( skol28, skol25, skol26 )
% 3.87/4.23 }.
% 3.87/4.23 parent0[0]: (10) {G0,W8,D2,L2,V3,M2} I { ! midp( Z, Y, X ), midp( Z, X, Y )
% 3.87/4.23 }.
% 3.87/4.23 parent1[0]: (117) {G0,W4,D2,L1,V0,M1} I { midp( skol28, skol26, skol25 )
% 3.87/4.23 }.
% 3.87/4.23 substitution0:
% 3.87/4.23 X := skol25
% 3.87/4.23 Y := skol26
% 3.87/4.23 Z := skol28
% 3.87/4.23 end
% 3.87/4.23 substitution1:
% 3.87/4.23 end
% 3.87/4.23
% 3.87/4.23 subsumption: (327) {G1,W4,D2,L1,V0,M1} R(10,117) { midp( skol28, skol25,
% 3.87/4.23 skol26 ) }.
% 3.87/4.23 parent0: (25063) {G1,W4,D2,L1,V0,M1} { midp( skol28, skol25, skol26 ) }.
% 3.87/4.23 substitution0:
% 3.87/4.23 end
% 3.87/4.23 permutation0:
% 3.87/4.23 0 ==> 0
% 3.87/4.23 end
% 3.87/4.23
% 3.87/4.23 resolution: (25065) {G1,W10,D2,L2,V4,M2} { cyclic( X, Y, T, Z ), ! cyclic
% 3.87/4.23 ( X, Z, Y, T ) }.
% 3.87/4.23 parent0[0]: (13) {G0,W10,D2,L2,V4,M2} I { ! cyclic( X, Y, Z, T ), cyclic( X
% 3.87/4.23 , Y, T, Z ) }.
% 3.87/4.23 parent1[1]: (14) {G0,W10,D2,L2,V4,M2} I { ! cyclic( X, Y, Z, T ), cyclic( X
% 3.87/4.23 , Z, Y, T ) }.
% 3.87/4.23 substitution0:
% 3.87/4.23 X := X
% 3.87/4.23 Y := Y
% 3.87/4.23 Z := Z
% 3.87/4.23 T := T
% 3.87/4.23 end
% 3.87/4.23 substitution1:
% 3.87/4.23 X := X
% 3.87/4.23 Y := Z
% 3.87/4.23 Z := Y
% 3.87/4.23 T := T
% 3.87/4.23 end
% 3.87/4.23
% 3.87/4.23 subsumption: (356) {G1,W10,D2,L2,V4,M2} R(14,13) { ! cyclic( X, Y, Z, T ),
% 3.87/4.23 cyclic( X, Z, T, Y ) }.
% 3.87/4.23 parent0: (25065) {G1,W10,D2,L2,V4,M2} { cyclic( X, Y, T, Z ), ! cyclic( X
% 3.87/4.23 , Z, Y, T ) }.
% 3.87/4.23 substitution0:
% 3.87/4.23 X := X
% 3.87/4.23 Y := Z
% 3.87/4.23 Z := Y
% 3.87/4.23 T := T
% 3.87/4.23 end
% 3.87/4.23 permutation0:
% 3.87/4.23 0 ==> 1
% 3.87/4.23 1 ==> 0
% 3.87/4.23 end
% 3.87/4.23
% 3.87/4.23 resolution: (25067) {G1,W10,D2,L2,V4,M2} { cyclic( X, Z, Y, T ), ! cyclic
% 3.87/4.23 ( Y, X, Z, T ) }.
% 3.87/4.23 parent0[0]: (14) {G0,W10,D2,L2,V4,M2} I { ! cyclic( X, Y, Z, T ), cyclic( X
% 3.87/4.23 , Z, Y, T ) }.
% 3.87/4.23 parent1[1]: (15) {G0,W10,D2,L2,V4,M2} I { ! cyclic( X, Y, Z, T ), cyclic( Y
% 3.87/4.23 , X, Z, T ) }.
% 3.87/4.23 substitution0:
% 3.87/4.23 X := X
% 3.87/4.23 Y := Y
% 3.87/4.23 Z := Z
% 3.87/4.23 T := T
% 3.87/4.23 end
% 3.87/4.23 substitution1:
% 3.87/4.23 X := Y
% 3.87/4.23 Y := X
% 3.87/4.23 Z := Z
% 3.87/4.23 T := T
% 3.87/4.23 end
% 3.87/4.23
% 3.87/4.23 subsumption: (367) {G1,W10,D2,L2,V4,M2} R(15,14) { ! cyclic( X, Y, Z, T ),
% 3.87/4.23 cyclic( Y, Z, X, T ) }.
% 3.87/4.23 parent0: (25067) {G1,W10,D2,L2,V4,M2} { cyclic( X, Z, Y, T ), ! cyclic( Y
% 3.87/4.23 , X, Z, T ) }.
% 3.87/4.23 substitution0:
% 3.87/4.23 X := Y
% 3.87/4.23 Y := X
% 3.87/4.23 Z := Z
% 3.87/4.23 T := T
% 3.87/4.23 end
% 3.87/4.23 permutation0:
% 3.87/4.23 0 ==> 1
% 3.87/4.23 1 ==> 0
% 3.87/4.23 end
% 3.87/4.23
% 3.87/4.23 resolution: (25069) {G1,W15,D2,L3,V5,M3} { ! cyclic( X, Y, Z, T ), cyclic
% 3.87/4.23 ( Y, Z, T, U ), ! cyclic( X, Y, U, Z ) }.
% 3.87/4.23 parent0[1]: (16) {G0,W15,D2,L3,V5,M3} I { ! cyclic( U, X, Y, Z ), ! cyclic
% 3.87/4.23 ( U, X, Y, T ), cyclic( X, Y, Z, T ) }.
% 3.87/4.23 parent1[1]: (13) {G0,W10,D2,L2,V4,M2} I { ! cyclic( X, Y, Z, T ), cyclic( X
% 3.87/4.23 , Y, T, Z ) }.
% 3.87/4.23 substitution0:
% 3.87/4.23 X := Y
% 3.87/4.23 Y := Z
% 3.87/4.23 Z := T
% 3.87/4.23 T := U
% 3.87/4.23 U := X
% 3.87/4.23 end
% 3.87/4.23 substitution1:
% 3.87/4.23 X := X
% 3.87/4.23 Y := Y
% 3.87/4.23 Z := U
% 3.87/4.23 T := Z
% 3.87/4.23 end
% 3.87/4.23
% 3.87/4.23 subsumption: (390) {G1,W15,D2,L3,V5,M3} R(16,13) { ! cyclic( X, Y, Z, T ),
% 3.87/4.23 cyclic( Y, Z, T, U ), ! cyclic( X, Y, U, Z ) }.
% 3.87/4.23 parent0: (25069) {G1,W15,D2,L3,V5,M3} { ! cyclic( X, Y, Z, T ), cyclic( Y
% 3.87/4.23 , Z, T, U ), ! cyclic( X, Y, U, Z ) }.
% 3.87/4.23 substitution0:
% 3.87/4.23 X := X
% 3.87/4.23 Y := Y
% 3.87/4.23 Z := Z
% 3.87/4.23 T := T
% 3.87/4.23 U := U
% 3.87/4.23 end
% 3.87/4.23 permutation0:
% 3.87/4.23 0 ==> 0
% 3.87/4.23 1 ==> 1
% 3.87/4.23 2 ==> 2
% 3.87/4.23 end
% 3.87/4.23
% 3.87/4.23 resolution: (25072) {G1,W18,D2,L2,V8,M2} { eqangle( Y, X, Z, T, U, W, V0,
% 3.87/4.23 V1 ), ! eqangle( U, W, V0, V1, X, Y, Z, T ) }.
% 3.87/4.23 parent0[0]: (17) {G0,W18,D2,L2,V8,M2} I { ! eqangle( X, Y, Z, T, U, W, V0,
% 3.87/4.23 V1 ), eqangle( Y, X, Z, T, U, W, V0, V1 ) }.
% 3.87/4.23 parent1[1]: (19) {G0,W18,D2,L2,V8,M2} I { ! eqangle( X, Y, Z, T, U, W, V0,
% 3.87/4.23 V1 ), eqangle( U, W, V0, V1, X, Y, Z, T ) }.
% 3.87/4.23 substitution0:
% 3.87/4.23 X := X
% 3.87/4.23 Y := Y
% 3.87/4.23 Z := Z
% 3.87/4.23 T := T
% 3.87/4.23 U := U
% 3.87/4.23 W := W
% 3.87/4.23 V0 := V0
% 3.87/4.23 V1 := V1
% 3.87/4.23 end
% 3.87/4.23 substitution1:
% 3.87/4.23 X := U
% 3.87/4.23 Y := W
% 3.87/4.23 Z := V0
% 3.87/4.23 T := V1
% 3.87/4.23 U := X
% 3.87/4.23 W := Y
% 3.87/4.23 V0 := Z
% 3.87/4.23 V1 := T
% 3.87/4.23 end
% 3.87/4.23
% 3.87/4.23 subsumption: (425) {G1,W18,D2,L2,V8,M2} R(19,17) { ! eqangle( X, Y, Z, T, U
% 3.87/4.23 , W, V0, V1 ), eqangle( W, U, V0, V1, X, Y, Z, T ) }.
% 3.87/4.23 parent0: (25072) {G1,W18,D2,L2,V8,M2} { eqangle( Y, X, Z, T, U, W, V0, V1
% 3.87/4.23 ), ! eqangle( U, W, V0, V1, X, Y, Z, T ) }.
% 3.87/4.23 substitution0:
% 3.87/4.23 X := U
% 3.87/4.23 Y := W
% 3.87/4.23 Z := V0
% 3.87/4.23 T := V1
% 3.87/4.23 U := X
% 3.87/4.23 W := Y
% 3.87/4.23 V0 := Z
% 3.87/4.23 V1 := T
% 3.87/4.23 end
% 3.87/4.23 permutation0:
% 3.87/4.23 0 ==> 1
% 3.87/4.23 1 ==> 0
% 3.87/4.23 end
% 3.87/4.23
% 3.87/4.23 resolution: (25073) {G1,W18,D2,L2,V8,M2} { eqangle( X, Y, U, W, Z, T, V0,
% 3.87/4.23 V1 ), ! eqangle( Y, X, Z, T, U, W, V0, V1 ) }.
% 3.87/4.23 parent0[0]: (20) {G0,W18,D2,L2,V8,M2} I { ! eqangle( X, Y, Z, T, U, W, V0,
% 3.87/4.23 V1 ), eqangle( X, Y, U, W, Z, T, V0, V1 ) }.
% 3.87/4.23 parent1[1]: (17) {G0,W18,D2,L2,V8,M2} I { ! eqangle( X, Y, Z, T, U, W, V0,
% 3.87/4.23 V1 ), eqangle( Y, X, Z, T, U, W, V0, V1 ) }.
% 3.87/4.23 substitution0:
% 3.87/4.23 X := X
% 3.87/4.23 Y := Y
% 3.87/4.23 Z := Z
% 3.87/4.23 T := T
% 3.87/4.23 U := U
% 3.87/4.23 W := W
% 3.87/4.23 V0 := V0
% 3.87/4.23 V1 := V1
% 3.87/4.23 end
% 3.87/4.23 substitution1:
% 3.87/4.23 X := Y
% 3.87/4.23 Y := X
% 3.87/4.23 Z := Z
% 3.87/4.23 T := T
% 3.87/4.23 U := U
% 3.87/4.23 W := W
% 3.87/4.23 V0 := V0
% 3.87/4.23 V1 := V1
% 3.87/4.23 end
% 3.87/4.23
% 3.87/4.23 subsumption: (442) {G1,W18,D2,L2,V8,M2} R(20,17) { eqangle( X, Y, Z, T, U,
% 3.87/4.23 W, V0, V1 ), ! eqangle( Y, X, U, W, Z, T, V0, V1 ) }.
% 3.87/4.23 parent0: (25073) {G1,W18,D2,L2,V8,M2} { eqangle( X, Y, U, W, Z, T, V0, V1
% 3.87/4.23 ), ! eqangle( Y, X, Z, T, U, W, V0, V1 ) }.
% 3.87/4.23 substitution0:
% 3.87/4.23 X := X
% 3.87/4.23 Y := Y
% 3.87/4.23 Z := U
% 3.87/4.23 T := W
% 3.87/4.23 U := Z
% 3.87/4.23 W := T
% 3.87/4.23 V0 := V0
% 3.87/4.23 V1 := V1
% 3.87/4.23 end
% 3.87/4.23 permutation0:
% 3.87/4.23 0 ==> 0
% 3.87/4.23 1 ==> 1
% 3.87/4.23 end
% 3.87/4.23
% 3.87/4.23 resolution: (25074) {G1,W10,D2,L2,V2,M2} { ! para( skol22, skol23, X, Y )
% 3.87/4.23 , ! perp( X, Y, skol20, skol22 ) }.
% 3.87/4.23 parent0[0]: (278) {G1,W5,D2,L1,V0,M1} R(7,125) { ! perp( skol22, skol23,
% 3.87/4.23 skol20, skol22 ) }.
% 3.87/4.23 parent1[2]: (9) {G0,W15,D2,L3,V6,M3} I { ! para( X, Y, U, W ), ! perp( U, W
% 3.87/4.23 , Z, T ), perp( X, Y, Z, T ) }.
% 3.87/4.23 substitution0:
% 3.87/4.23 end
% 3.87/4.23 substitution1:
% 3.87/4.23 X := skol22
% 3.87/4.23 Y := skol23
% 3.87/4.23 Z := skol20
% 3.87/4.23 T := skol22
% 3.87/4.23 U := X
% 3.87/4.23 W := Y
% 3.87/4.23 end
% 3.87/4.23
% 3.87/4.23 subsumption: (497) {G2,W10,D2,L2,V2,M2} R(278,9) { ! para( skol22, skol23,
% 3.87/4.23 X, Y ), ! perp( X, Y, skol20, skol22 ) }.
% 3.87/4.23 parent0: (25074) {G1,W10,D2,L2,V2,M2} { ! para( skol22, skol23, X, Y ), !
% 3.87/4.23 perp( X, Y, skol20, skol22 ) }.
% 3.87/4.23 substitution0:
% 3.87/4.23 X := X
% 3.87/4.23 Y := Y
% 3.87/4.23 end
% 3.87/4.23 permutation0:
% 3.87/4.23 0 ==> 0
% 3.87/4.23 1 ==> 1
% 3.87/4.23 end
% 3.87/4.23
% 3.87/4.23 resolution: (25076) {G1,W8,D2,L2,V3,M2} { coll( Y, X, X ), ! coll( X, Z, Y
% 3.87/4.23 ) }.
% 3.87/4.23 parent0[0]: (1) {G0,W8,D2,L2,V3,M2} I { ! coll( X, Y, Z ), coll( Y, X, Z )
% 3.87/4.23 }.
% 3.87/4.23 parent1[0]: (258) {G4,W8,D2,L2,V3,M2} F(244) { coll( X, Y, X ), ! coll( X,
% 3.87/4.23 Z, Y ) }.
% 3.87/4.23 substitution0:
% 3.87/4.23 X := X
% 3.87/4.23 Y := Y
% 3.87/4.23 Z := X
% 3.87/4.23 end
% 3.87/4.23 substitution1:
% 3.87/4.23 X := X
% 3.87/4.23 Y := Y
% 3.87/4.23 Z := Z
% 3.87/4.23 end
% 3.87/4.23
% 3.87/4.23 subsumption: (544) {G5,W8,D2,L2,V3,M2} R(258,1) { ! coll( X, Y, Z ), coll(
% 3.87/4.23 Z, X, X ) }.
% 3.87/4.23 parent0: (25076) {G1,W8,D2,L2,V3,M2} { coll( Y, X, X ), ! coll( X, Z, Y )
% 3.87/4.23 }.
% 3.87/4.23 substitution0:
% 3.87/4.23 X := X
% 3.87/4.23 Y := Z
% 3.87/4.23 Z := Y
% 3.87/4.23 end
% 3.87/4.23 permutation0:
% 3.87/4.23 0 ==> 1
% 3.87/4.23 1 ==> 0
% 3.87/4.23 end
% 3.87/4.23
% 3.87/4.23 resolution: (25077) {G1,W8,D2,L2,V3,M2} { coll( Z, X, X ), ! coll( Y, X, Z
% 3.87/4.23 ) }.
% 3.87/4.23 parent0[0]: (544) {G5,W8,D2,L2,V3,M2} R(258,1) { ! coll( X, Y, Z ), coll( Z
% 3.87/4.23 , X, X ) }.
% 3.87/4.23 parent1[1]: (1) {G0,W8,D2,L2,V3,M2} I { ! coll( X, Y, Z ), coll( Y, X, Z )
% 3.87/4.23 }.
% 3.87/4.23 substitution0:
% 3.87/4.23 X := X
% 3.87/4.23 Y := Y
% 3.87/4.23 Z := Z
% 3.87/4.23 end
% 3.87/4.23 substitution1:
% 3.87/4.23 X := Y
% 3.87/4.23 Y := X
% 3.87/4.23 Z := Z
% 3.87/4.23 end
% 3.87/4.23
% 3.87/4.23 subsumption: (549) {G6,W8,D2,L2,V3,M2} R(544,1) { coll( X, Y, Y ), ! coll(
% 3.87/4.23 Z, Y, X ) }.
% 3.87/4.23 parent0: (25077) {G1,W8,D2,L2,V3,M2} { coll( Z, X, X ), ! coll( Y, X, Z )
% 3.87/4.23 }.
% 3.87/4.23 substitution0:
% 3.87/4.23 X := Y
% 3.87/4.23 Y := Z
% 3.87/4.23 Z := X
% 3.87/4.23 end
% 3.87/4.23 permutation0:
% 3.87/4.23 0 ==> 0
% 3.87/4.23 1 ==> 1
% 3.87/4.23 end
% 3.87/4.23
% 3.87/4.23 resolution: (25078) {G1,W8,D2,L2,V3,M2} { coll( Z, X, X ), ! coll( X, Z, Y
% 3.87/4.23 ) }.
% 3.87/4.23 parent0[0]: (544) {G5,W8,D2,L2,V3,M2} R(258,1) { ! coll( X, Y, Z ), coll( Z
% 3.87/4.23 , X, X ) }.
% 3.87/4.23 parent1[1]: (0) {G0,W8,D2,L2,V3,M2} I { ! coll( X, Y, Z ), coll( X, Z, Y )
% 3.87/4.23 }.
% 3.87/4.23 substitution0:
% 3.87/4.23 X := X
% 3.87/4.23 Y := Y
% 3.87/4.23 Z := Z
% 3.87/4.23 end
% 3.87/4.23 substitution1:
% 3.87/4.23 X := X
% 3.87/4.23 Y := Z
% 3.87/4.23 Z := Y
% 3.87/4.23 end
% 3.87/4.23
% 3.87/4.23 subsumption: (550) {G6,W8,D2,L2,V3,M2} R(544,0) { coll( X, Y, Y ), ! coll(
% 3.87/4.23 Y, X, Z ) }.
% 3.87/4.23 parent0: (25078) {G1,W8,D2,L2,V3,M2} { coll( Z, X, X ), ! coll( X, Z, Y )
% 3.87/4.23 }.
% 3.87/4.23 substitution0:
% 3.87/4.23 X := Y
% 3.87/4.23 Y := Z
% 3.87/4.23 Z := X
% 3.87/4.23 end
% 3.87/4.23 permutation0:
% 3.87/4.23 0 ==> 0
% 3.87/4.23 1 ==> 1
% 3.87/4.23 end
% 3.87/4.23
% 3.87/4.23 resolution: (25080) {G6,W8,D2,L2,V3,M2} { coll( Y, X, X ), ! coll( Z, Y, X
% 3.87/4.23 ) }.
% 3.87/4.23 parent0[0]: (544) {G5,W8,D2,L2,V3,M2} R(258,1) { ! coll( X, Y, Z ), coll( Z
% 3.87/4.23 , X, X ) }.
% 3.87/4.23 parent1[0]: (549) {G6,W8,D2,L2,V3,M2} R(544,1) { coll( X, Y, Y ), ! coll( Z
% 3.87/4.23 , Y, X ) }.
% 3.87/4.23 substitution0:
% 3.87/4.23 X := X
% 3.87/4.23 Y := Y
% 3.87/4.23 Z := Y
% 3.87/4.23 end
% 3.87/4.23 substitution1:
% 3.87/4.23 X := X
% 3.87/4.23 Y := Y
% 3.87/4.23 Z := Z
% 3.87/4.23 end
% 3.87/4.23
% 3.87/4.23 subsumption: (551) {G7,W8,D2,L2,V3,M2} R(549,544) { ! coll( X, Y, Z ), coll
% 3.87/4.23 ( Y, Z, Z ) }.
% 3.87/4.23 parent0: (25080) {G6,W8,D2,L2,V3,M2} { coll( Y, X, X ), ! coll( Z, Y, X )
% 3.87/4.23 }.
% 3.87/4.23 substitution0:
% 3.87/4.23 X := Z
% 3.87/4.23 Y := Y
% 3.87/4.23 Z := X
% 3.87/4.23 end
% 3.87/4.23 permutation0:
% 3.87/4.23 0 ==> 1
% 3.87/4.23 1 ==> 0
% 3.87/4.23 end
% 3.87/4.23
% 3.87/4.23 resolution: (25081) {G7,W8,D2,L2,V3,M2} { coll( X, Y, Y ), ! coll( X, Y, Z
% 3.87/4.23 ) }.
% 3.87/4.23 parent0[1]: (550) {G6,W8,D2,L2,V3,M2} R(544,0) { coll( X, Y, Y ), ! coll( Y
% 3.87/4.23 , X, Z ) }.
% 3.87/4.23 parent1[0]: (550) {G6,W8,D2,L2,V3,M2} R(544,0) { coll( X, Y, Y ), ! coll( Y
% 3.87/4.23 , X, Z ) }.
% 3.87/4.23 substitution0:
% 3.87/4.23 X := X
% 3.87/4.23 Y := Y
% 3.87/4.23 Z := X
% 3.87/4.23 end
% 3.87/4.23 substitution1:
% 3.87/4.23 X := Y
% 3.87/4.23 Y := X
% 3.87/4.23 Z := Z
% 3.87/4.23 end
% 3.87/4.23
% 3.87/4.23 subsumption: (556) {G7,W8,D2,L2,V3,M2} R(550,550) { ! coll( X, Y, Z ), coll
% 3.87/4.23 ( X, Y, Y ) }.
% 3.87/4.23 parent0: (25081) {G7,W8,D2,L2,V3,M2} { coll( X, Y, Y ), ! coll( X, Y, Z )
% 3.87/4.23 }.
% 3.87/4.23 substitution0:
% 3.87/4.23 X := X
% 3.87/4.23 Y := Y
% 3.87/4.23 Z := Z
% 3.87/4.23 end
% 3.87/4.23 permutation0:
% 3.87/4.23 0 ==> 1
% 3.87/4.23 1 ==> 0
% 3.87/4.23 end
% 3.87/4.23
% 3.87/4.23 resolution: (25085) {G1,W12,D2,L3,V4,M3} { ! coll( X, Y, Z ), coll( Z, Y,
% 3.87/4.23 X ), ! coll( X, Y, T ) }.
% 3.87/4.23 parent0[1]: (2) {G0,W12,D2,L3,V4,M3} I { ! coll( X, T, Y ), ! coll( X, T, Z
% 3.87/4.23 ), coll( Y, Z, X ) }.
% 3.87/4.23 parent1[1]: (556) {G7,W8,D2,L2,V3,M2} R(550,550) { ! coll( X, Y, Z ), coll
% 3.87/4.23 ( X, Y, Y ) }.
% 3.87/4.23 substitution0:
% 3.87/4.23 X := X
% 3.87/4.23 Y := Z
% 3.87/4.23 Z := Y
% 3.87/4.23 T := Y
% 3.87/4.23 end
% 3.87/4.23 substitution1:
% 3.87/4.23 X := X
% 3.87/4.23 Y := Y
% 3.87/4.23 Z := T
% 3.87/4.23 end
% 3.87/4.23
% 3.87/4.23 subsumption: (559) {G8,W12,D2,L3,V4,M3} R(556,2) { ! coll( X, Y, Z ), !
% 3.87/4.23 coll( X, Y, T ), coll( T, Y, X ) }.
% 3.87/4.23 parent0: (25085) {G1,W12,D2,L3,V4,M3} { ! coll( X, Y, Z ), coll( Z, Y, X )
% 3.87/4.23 , ! coll( X, Y, T ) }.
% 3.87/4.23 substitution0:
% 3.87/4.23 X := X
% 3.87/4.23 Y := Y
% 3.87/4.23 Z := T
% 3.87/4.23 T := Z
% 3.87/4.23 end
% 3.87/4.23 permutation0:
% 3.87/4.23 0 ==> 1
% 3.87/4.23 1 ==> 2
% 3.87/4.23 2 ==> 0
% 3.87/4.23 end
% 3.87/4.23
% 3.87/4.23 factor: (25088) {G8,W8,D2,L2,V3,M2} { ! coll( X, Y, Z ), coll( Z, Y, X )
% 3.87/4.23 }.
% 3.87/4.23 parent0[0, 1]: (559) {G8,W12,D2,L3,V4,M3} R(556,2) { ! coll( X, Y, Z ), !
% 3.87/4.23 coll( X, Y, T ), coll( T, Y, X ) }.
% 3.87/4.23 substitution0:
% 3.87/4.23 X := X
% 3.87/4.23 Y := Y
% 3.87/4.23 Z := Z
% 3.87/4.23 T := Z
% 3.87/4.23 end
% 3.87/4.23
% 3.87/4.23 subsumption: (560) {G9,W8,D2,L2,V3,M2} F(559) { ! coll( X, Y, Z ), coll( Z
% 3.87/4.23 , Y, X ) }.
% 3.87/4.23 parent0: (25088) {G8,W8,D2,L2,V3,M2} { ! coll( X, Y, Z ), coll( Z, Y, X )
% 3.87/4.23 }.
% 3.87/4.23 substitution0:
% 3.87/4.23 X := X
% 3.87/4.23 Y := Y
% 3.87/4.23 Z := Z
% 3.87/4.23 end
% 3.87/4.23 permutation0:
% 3.87/4.23 0 ==> 0
% 3.87/4.23 1 ==> 1
% 3.87/4.23 end
% 3.87/4.23
% 3.87/4.23 resolution: (25089) {G8,W8,D2,L2,V3,M2} { coll( Y, Y, X ), ! coll( Z, X, Y
% 3.87/4.23 ) }.
% 3.87/4.23 parent0[0]: (560) {G9,W8,D2,L2,V3,M2} F(559) { ! coll( X, Y, Z ), coll( Z,
% 3.87/4.23 Y, X ) }.
% 3.87/4.23 parent1[1]: (551) {G7,W8,D2,L2,V3,M2} R(549,544) { ! coll( X, Y, Z ), coll
% 3.87/4.23 ( Y, Z, Z ) }.
% 3.87/4.23 substitution0:
% 3.87/4.23 X := X
% 3.87/4.23 Y := Y
% 3.87/4.23 Z := Y
% 3.87/4.23 end
% 3.87/4.23 substitution1:
% 3.87/4.23 X := Z
% 3.87/4.23 Y := X
% 3.87/4.23 Z := Y
% 3.87/4.23 end
% 3.87/4.23
% 3.87/4.23 subsumption: (563) {G10,W8,D2,L2,V3,M2} R(560,551) { coll( X, X, Y ), !
% 3.87/4.23 coll( Z, Y, X ) }.
% 3.87/4.23 parent0: (25089) {G8,W8,D2,L2,V3,M2} { coll( Y, Y, X ), ! coll( Z, X, Y )
% 3.87/4.23 }.
% 3.87/4.23 substitution0:
% 3.87/4.23 X := Y
% 3.87/4.23 Y := X
% 3.87/4.23 Z := Z
% 3.87/4.23 end
% 3.87/4.23 permutation0:
% 3.87/4.23 0 ==> 0
% 3.87/4.23 1 ==> 1
% 3.87/4.23 end
% 3.87/4.23
% 3.87/4.23 resolution: (25090) {G7,W8,D2,L2,V3,M2} { coll( Y, Y, X ), ! coll( Z, Y, X
% 3.87/4.23 ) }.
% 3.87/4.23 parent0[0]: (560) {G9,W8,D2,L2,V3,M2} F(559) { ! coll( X, Y, Z ), coll( Z,
% 3.87/4.23 Y, X ) }.
% 3.87/4.23 parent1[0]: (549) {G6,W8,D2,L2,V3,M2} R(544,1) { coll( X, Y, Y ), ! coll( Z
% 3.87/4.23 , Y, X ) }.
% 3.87/4.23 substitution0:
% 3.87/4.23 X := X
% 3.87/4.23 Y := Y
% 3.87/4.23 Z := Y
% 3.87/4.23 end
% 3.87/4.23 substitution1:
% 3.87/4.23 X := X
% 3.87/4.23 Y := Y
% 3.87/4.23 Z := Z
% 3.87/4.23 end
% 3.87/4.23
% 3.87/4.23 subsumption: (564) {G10,W8,D2,L2,V3,M2} R(560,549) { coll( X, X, Y ), !
% 3.87/4.23 coll( Z, X, Y ) }.
% 3.87/4.23 parent0: (25090) {G7,W8,D2,L2,V3,M2} { coll( Y, Y, X ), ! coll( Z, Y, X )
% 3.87/4.23 }.
% 3.87/4.23 substitution0:
% 3.87/4.23 X := Y
% 3.87/4.23 Y := X
% 3.87/4.23 Z := Z
% 3.87/4.23 end
% 3.87/4.23 permutation0:
% 3.87/4.23 0 ==> 0
% 3.87/4.23 1 ==> 1
% 3.87/4.23 end
% 3.87/4.23
% 3.87/4.23 resolution: (25091) {G1,W8,D2,L2,V3,M2} { coll( X, Y, Z ), ! midp( Y, Z, X
% 3.87/4.23 ) }.
% 3.87/4.23 parent0[1]: (169) {G1,W8,D2,L2,V3,M2} R(1,0) { coll( X, Y, Z ), ! coll( Y,
% 3.87/4.23 Z, X ) }.
% 3.87/4.23 parent1[1]: (69) {G0,W8,D2,L2,V3,M2} I { ! midp( X, Y, Z ), coll( X, Y, Z )
% 3.87/4.23 }.
% 3.87/4.23 substitution0:
% 3.87/4.23 X := X
% 3.87/4.23 Y := Y
% 3.87/4.23 Z := Z
% 3.87/4.23 end
% 3.87/4.23 substitution1:
% 3.87/4.23 X := Y
% 3.87/4.23 Y := Z
% 3.87/4.23 Z := X
% 3.87/4.23 end
% 3.87/4.23
% 3.87/4.23 subsumption: (603) {G2,W8,D2,L2,V3,M2} R(69,169) { ! midp( X, Y, Z ), coll
% 3.87/4.23 ( Z, X, Y ) }.
% 3.87/4.23 parent0: (25091) {G1,W8,D2,L2,V3,M2} { coll( X, Y, Z ), ! midp( Y, Z, X )
% 3.87/4.23 }.
% 3.87/4.23 substitution0:
% 3.87/4.23 X := Z
% 3.87/4.23 Y := X
% 3.87/4.23 Z := Y
% 3.87/4.23 end
% 3.87/4.23 permutation0:
% 3.87/4.23 0 ==> 1
% 3.87/4.23 1 ==> 0
% 3.87/4.23 end
% 3.87/4.23
% 3.87/4.23 resolution: (25092) {G1,W8,D2,L2,V3,M2} { coll( X, X, Y ), ! midp( Z, X, Y
% 3.87/4.23 ) }.
% 3.87/4.23 parent0[1]: (564) {G10,W8,D2,L2,V3,M2} R(560,549) { coll( X, X, Y ), ! coll
% 3.87/4.23 ( Z, X, Y ) }.
% 3.87/4.23 parent1[1]: (69) {G0,W8,D2,L2,V3,M2} I { ! midp( X, Y, Z ), coll( X, Y, Z )
% 3.87/4.23 }.
% 3.87/4.23 substitution0:
% 3.87/4.23 X := X
% 3.87/4.23 Y := Y
% 3.87/4.23 Z := Z
% 3.87/4.23 end
% 3.87/4.23 substitution1:
% 3.87/4.23 X := Z
% 3.87/4.23 Y := X
% 3.87/4.23 Z := Y
% 3.87/4.23 end
% 3.87/4.23
% 3.87/4.23 subsumption: (610) {G11,W8,D2,L2,V3,M2} R(69,564) { ! midp( X, Y, Z ), coll
% 3.87/4.23 ( Y, Y, Z ) }.
% 3.87/4.23 parent0: (25092) {G1,W8,D2,L2,V3,M2} { coll( X, X, Y ), ! midp( Z, X, Y )
% 3.87/4.23 }.
% 3.87/4.23 substitution0:
% 3.87/4.23 X := Y
% 3.87/4.23 Y := Z
% 3.87/4.23 Z := X
% 3.87/4.23 end
% 3.87/4.23 permutation0:
% 3.87/4.23 0 ==> 1
% 3.87/4.23 1 ==> 0
% 3.87/4.23 end
% 3.87/4.23
% 3.87/4.23 resolution: (25093) {G1,W4,D2,L1,V0,M1} { coll( skol28, skol25, skol26 )
% 3.87/4.23 }.
% 3.87/4.23 parent0[0]: (69) {G0,W8,D2,L2,V3,M2} I { ! midp( X, Y, Z ), coll( X, Y, Z )
% 3.87/4.23 }.
% 3.87/4.23 parent1[0]: (327) {G1,W4,D2,L1,V0,M1} R(10,117) { midp( skol28, skol25,
% 3.87/4.23 skol26 ) }.
% 3.87/4.23 substitution0:
% 3.87/4.23 X := skol28
% 3.87/4.23 Y := skol25
% 3.87/4.23 Z := skol26
% 3.87/4.23 end
% 3.87/4.23 substitution1:
% 3.87/4.23 end
% 3.87/4.23
% 3.87/4.23 subsumption: (624) {G2,W4,D2,L1,V0,M1} R(69,327) { coll( skol28, skol25,
% 3.87/4.23 skol26 ) }.
% 3.87/4.23 parent0: (25093) {G1,W4,D2,L1,V0,M1} { coll( skol28, skol25, skol26 ) }.
% 3.87/4.23 substitution0:
% 3.87/4.23 end
% 3.87/4.23 permutation0:
% 3.87/4.23 0 ==> 0
% 3.87/4.23 end
% 3.87/4.23
% 3.87/4.23 resolution: (25094) {G1,W8,D2,L2,V3,M2} { coll( Y, X, Z ), ! midp( X, Y, Z
% 3.87/4.23 ) }.
% 3.87/4.23 parent0[0]: (1) {G0,W8,D2,L2,V3,M2} I { ! coll( X, Y, Z ), coll( Y, X, Z )
% 3.87/4.23 }.
% 3.87/4.23 parent1[1]: (69) {G0,W8,D2,L2,V3,M2} I { ! midp( X, Y, Z ), coll( X, Y, Z )
% 3.87/4.23 }.
% 3.87/4.23 substitution0:
% 3.87/4.23 X := X
% 3.87/4.23 Y := Y
% 3.87/4.23 Z := Z
% 3.87/4.23 end
% 3.87/4.23 substitution1:
% 3.87/4.23 X := X
% 3.87/4.23 Y := Y
% 3.87/4.23 Z := Z
% 3.87/4.23 end
% 3.87/4.23
% 3.87/4.23 subsumption: (629) {G1,W8,D2,L2,V3,M2} R(69,1) { ! midp( X, Y, Z ), coll( Y
% 3.87/4.23 , X, Z ) }.
% 3.87/4.23 parent0: (25094) {G1,W8,D2,L2,V3,M2} { coll( Y, X, Z ), ! midp( X, Y, Z )
% 3.87/4.23 }.
% 3.87/4.23 substitution0:
% 3.87/4.23 X := X
% 3.87/4.23 Y := Y
% 3.87/4.23 Z := Z
% 3.87/4.23 end
% 3.87/4.23 permutation0:
% 3.87/4.23 0 ==> 1
% 3.87/4.23 1 ==> 0
% 3.87/4.23 end
% 3.87/4.23
% 3.87/4.23 resolution: (25095) {G1,W4,D2,L1,V0,M1} { coll( skol28, skol26, skol25 )
% 3.87/4.23 }.
% 3.87/4.23 parent0[0]: (69) {G0,W8,D2,L2,V3,M2} I { ! midp( X, Y, Z ), coll( X, Y, Z )
% 3.87/4.23 }.
% 3.87/4.23 parent1[0]: (117) {G0,W4,D2,L1,V0,M1} I { midp( skol28, skol26, skol25 )
% 3.87/4.23 }.
% 3.87/4.23 substitution0:
% 3.87/4.23 X := skol28
% 3.87/4.23 Y := skol26
% 3.87/4.23 Z := skol25
% 3.87/4.23 end
% 3.87/4.23 substitution1:
% 3.87/4.23 end
% 3.87/4.23
% 3.87/4.23 subsumption: (630) {G1,W4,D2,L1,V0,M1} R(69,117) { coll( skol28, skol26,
% 3.87/4.23 skol25 ) }.
% 3.87/4.23 parent0: (25095) {G1,W4,D2,L1,V0,M1} { coll( skol28, skol26, skol25 ) }.
% 3.87/4.23 substitution0:
% 3.87/4.23 end
% 3.87/4.23 permutation0:
% 3.87/4.23 0 ==> 0
% 3.87/4.23 end
% 3.87/4.23
% 3.87/4.23 resolution: (25096) {G3,W4,D2,L1,V0,M1} { coll( skol26, skol25, skol26 )
% 3.87/4.23 }.
% 3.87/4.23 parent0[1]: (249) {G3,W8,D2,L2,V3,M2} R(204,1) { coll( X, Y, X ), ! coll( Z
% 3.87/4.23 , Y, X ) }.
% 3.87/4.23 parent1[0]: (624) {G2,W4,D2,L1,V0,M1} R(69,327) { coll( skol28, skol25,
% 3.87/4.23 skol26 ) }.
% 3.87/4.23 substitution0:
% 3.87/4.23 X := skol26
% 3.87/4.23 Y := skol25
% 3.87/4.23 Z := skol28
% 3.87/4.23 end
% 3.87/4.23 substitution1:
% 3.87/4.23 end
% 3.87/4.23
% 3.87/4.23 subsumption: (635) {G4,W4,D2,L1,V0,M1} R(624,249) { coll( skol26, skol25,
% 3.87/4.23 skol26 ) }.
% 3.87/4.23 parent0: (25096) {G3,W4,D2,L1,V0,M1} { coll( skol26, skol25, skol26 ) }.
% 3.87/4.23 substitution0:
% 3.87/4.23 end
% 3.87/4.23 permutation0:
% 3.87/4.23 0 ==> 0
% 3.87/4.23 end
% 3.87/4.23
% 3.87/4.23 resolution: (25097) {G3,W4,D2,L1,V0,M1} { coll( skol26, skol26, skol25 )
% 3.87/4.23 }.
% 3.87/4.23 parent0[1]: (563) {G10,W8,D2,L2,V3,M2} R(560,551) { coll( X, X, Y ), ! coll
% 3.87/4.23 ( Z, Y, X ) }.
% 3.87/4.23 parent1[0]: (624) {G2,W4,D2,L1,V0,M1} R(69,327) { coll( skol28, skol25,
% 3.87/4.23 skol26 ) }.
% 3.87/4.23 substitution0:
% 3.87/4.23 X := skol26
% 3.87/4.23 Y := skol25
% 3.87/4.23 Z := skol28
% 3.87/4.23 end
% 3.87/4.23 substitution1:
% 3.87/4.23 end
% 3.87/4.23
% 3.87/4.23 subsumption: (640) {G11,W4,D2,L1,V0,M1} R(624,563) { coll( skol26, skol26,
% 3.87/4.23 skol25 ) }.
% 3.87/4.23 parent0: (25097) {G3,W4,D2,L1,V0,M1} { coll( skol26, skol26, skol25 ) }.
% 3.87/4.23 substitution0:
% 3.87/4.23 end
% 3.87/4.23 permutation0:
% 3.87/4.23 0 ==> 0
% 3.87/4.23 end
% 3.87/4.23
% 3.87/4.23 resolution: (25098) {G1,W8,D2,L2,V1,M2} { ! coll( skol28, skol26, X ),
% 3.87/4.23 coll( skol25, X, skol28 ) }.
% 3.87/4.23 parent0[0]: (2) {G0,W12,D2,L3,V4,M3} I { ! coll( X, T, Y ), ! coll( X, T, Z
% 3.87/4.23 ), coll( Y, Z, X ) }.
% 3.87/4.23 parent1[0]: (630) {G1,W4,D2,L1,V0,M1} R(69,117) { coll( skol28, skol26,
% 3.87/4.23 skol25 ) }.
% 3.87/4.23 substitution0:
% 3.87/4.23 X := skol28
% 3.87/4.23 Y := skol25
% 3.87/4.23 Z := X
% 3.87/4.23 T := skol26
% 3.87/4.23 end
% 3.87/4.23 substitution1:
% 3.87/4.23 end
% 3.87/4.23
% 3.87/4.23 subsumption: (700) {G2,W8,D2,L2,V1,M2} R(630,2) { ! coll( skol28, skol26, X
% 3.87/4.23 ), coll( skol25, X, skol28 ) }.
% 3.87/4.23 parent0: (25098) {G1,W8,D2,L2,V1,M2} { ! coll( skol28, skol26, X ), coll(
% 3.87/4.23 skol25, X, skol28 ) }.
% 3.87/4.23 substitution0:
% 3.87/4.23 X := X
% 3.87/4.23 end
% 3.87/4.23 permutation0:
% 3.87/4.23 0 ==> 0
% 3.87/4.23 1 ==> 1
% 3.87/4.23 end
% 3.87/4.23
% 3.87/4.23 resolution: (25100) {G1,W14,D2,L3,V3,M3} { ! coll( X, X, Z ), cyclic( Y, Z
% 3.87/4.23 , X, X ), ! para( X, Y, X, Y ) }.
% 3.87/4.23 parent0[0]: (42) {G0,W18,D2,L3,V4,M3} I { ! eqangle( Z, X, Z, Y, T, X, T, Y
% 3.87/4.23 ), ! coll( Z, T, Y ), cyclic( X, Y, Z, T ) }.
% 3.87/4.23 parent1[1]: (39) {G0,W14,D2,L2,V6,M2} I { ! para( X, Y, Z, T ), eqangle( X
% 3.87/4.23 , Y, U, W, Z, T, U, W ) }.
% 3.87/4.23 substitution0:
% 3.87/4.23 X := Y
% 3.87/4.23 Y := Z
% 3.87/4.23 Z := X
% 3.87/4.23 T := X
% 3.87/4.23 end
% 3.87/4.23 substitution1:
% 3.87/4.23 X := X
% 3.87/4.23 Y := Y
% 3.87/4.23 Z := X
% 3.87/4.23 T := Y
% 3.87/4.23 U := X
% 3.87/4.23 W := Z
% 3.87/4.23 end
% 3.87/4.23
% 3.87/4.23 subsumption: (784) {G1,W14,D2,L3,V3,M3} R(42,39) { ! coll( X, X, Y ),
% 3.87/4.23 cyclic( Z, Y, X, X ), ! para( X, Z, X, Z ) }.
% 3.87/4.23 parent0: (25100) {G1,W14,D2,L3,V3,M3} { ! coll( X, X, Z ), cyclic( Y, Z, X
% 3.87/4.23 , X ), ! para( X, Y, X, Y ) }.
% 3.87/4.23 substitution0:
% 3.87/4.23 X := X
% 3.87/4.23 Y := Z
% 3.87/4.23 Z := Y
% 3.87/4.23 end
% 3.87/4.23 permutation0:
% 3.87/4.23 0 ==> 0
% 3.87/4.23 1 ==> 1
% 3.87/4.23 2 ==> 2
% 3.87/4.23 end
% 3.87/4.23
% 3.87/4.23 resolution: (25101) {G1,W25,D2,L5,V4,M5} { ! cyclic( X, Y, Z, X ), !
% 3.87/4.23 cyclic( X, Y, Z, Y ), ! cyclic( X, Y, Z, T ), cong( X, Y, X, Y ), !
% 3.87/4.23 cyclic( X, Y, Z, T ) }.
% 3.87/4.23 parent0[3]: (43) {G0,W29,D2,L5,V6,M5} I { ! cyclic( X, Y, U, Z ), ! cyclic
% 3.87/4.23 ( X, Y, U, T ), ! cyclic( X, Y, U, W ), ! eqangle( U, X, U, Y, W, Z, W, T
% 3.87/4.23 ), cong( X, Y, Z, T ) }.
% 3.87/4.23 parent1[1]: (40) {G0,W14,D2,L2,V4,M2} I { ! cyclic( X, Y, Z, T ), eqangle(
% 3.87/4.23 Z, X, Z, Y, T, X, T, Y ) }.
% 3.87/4.23 substitution0:
% 3.87/4.23 X := X
% 3.87/4.23 Y := Y
% 3.87/4.23 Z := X
% 3.87/4.23 T := Y
% 3.87/4.23 U := Z
% 3.87/4.23 W := T
% 3.87/4.23 end
% 3.87/4.23 substitution1:
% 3.87/4.23 X := X
% 3.87/4.23 Y := Y
% 3.87/4.23 Z := Z
% 3.87/4.23 T := T
% 3.87/4.23 end
% 3.87/4.23
% 3.87/4.23 factor: (25103) {G1,W20,D2,L4,V3,M4} { ! cyclic( X, Y, Z, X ), ! cyclic( X
% 3.87/4.23 , Y, Z, Y ), cong( X, Y, X, Y ), ! cyclic( X, Y, Z, X ) }.
% 3.87/4.23 parent0[0, 2]: (25101) {G1,W25,D2,L5,V4,M5} { ! cyclic( X, Y, Z, X ), !
% 3.87/4.23 cyclic( X, Y, Z, Y ), ! cyclic( X, Y, Z, T ), cong( X, Y, X, Y ), !
% 3.87/4.23 cyclic( X, Y, Z, T ) }.
% 3.87/4.23 substitution0:
% 3.87/4.23 X := X
% 3.87/4.23 Y := Y
% 3.87/4.23 Z := Z
% 3.87/4.23 T := X
% 3.87/4.23 end
% 3.87/4.23
% 3.87/4.23 subsumption: (908) {G1,W20,D2,L4,V4,M4} R(43,40);f { ! cyclic( X, Y, Z, X )
% 3.87/4.23 , ! cyclic( X, Y, Z, Y ), ! cyclic( X, Y, Z, T ), cong( X, Y, X, Y ) }.
% 3.87/4.23 parent0: (25103) {G1,W20,D2,L4,V3,M4} { ! cyclic( X, Y, Z, X ), ! cyclic(
% 3.87/4.23 X, Y, Z, Y ), cong( X, Y, X, Y ), ! cyclic( X, Y, Z, X ) }.
% 3.87/4.23 substitution0:
% 3.87/4.23 X := X
% 3.87/4.23 Y := Y
% 3.87/4.23 Z := Z
% 3.87/4.23 end
% 3.87/4.23 permutation0:
% 3.87/4.23 0 ==> 0
% 3.87/4.23 1 ==> 1
% 3.87/4.23 2 ==> 3
% 3.87/4.23 3 ==> 0
% 3.87/4.23 end
% 3.87/4.23
% 3.87/4.23 factor: (25108) {G1,W15,D2,L3,V3,M3} { ! cyclic( X, Y, Z, X ), ! cyclic( X
% 3.87/4.23 , Y, Z, Y ), cong( X, Y, X, Y ) }.
% 3.87/4.23 parent0[0, 2]: (908) {G1,W20,D2,L4,V4,M4} R(43,40);f { ! cyclic( X, Y, Z, X
% 3.87/4.23 ), ! cyclic( X, Y, Z, Y ), ! cyclic( X, Y, Z, T ), cong( X, Y, X, Y )
% 3.87/4.23 }.
% 3.87/4.23 substitution0:
% 3.87/4.23 X := X
% 3.87/4.23 Y := Y
% 3.87/4.23 Z := Z
% 3.87/4.23 T := X
% 3.87/4.23 end
% 3.87/4.23
% 3.87/4.23 subsumption: (940) {G2,W15,D2,L3,V3,M3} F(908) { ! cyclic( X, Y, Z, X ), !
% 3.87/4.23 cyclic( X, Y, Z, Y ), cong( X, Y, X, Y ) }.
% 3.87/4.23 parent0: (25108) {G1,W15,D2,L3,V3,M3} { ! cyclic( X, Y, Z, X ), ! cyclic(
% 3.87/4.23 X, Y, Z, Y ), cong( X, Y, X, Y ) }.
% 3.87/4.23 substitution0:
% 3.87/4.23 X := X
% 3.87/4.23 Y := Y
% 3.87/4.23 Z := Z
% 3.87/4.23 end
% 3.87/4.23 permutation0:
% 3.87/4.23 0 ==> 0
% 3.87/4.23 1 ==> 1
% 3.87/4.23 2 ==> 2
% 3.87/4.23 end
% 3.87/4.23
% 3.87/4.23 resolution: (25110) {G2,W8,D2,L2,V1,M2} { coll( skol25, X, skol28 ), !
% 3.87/4.23 coll( X, skol28, skol26 ) }.
% 3.87/4.23 parent0[0]: (700) {G2,W8,D2,L2,V1,M2} R(630,2) { ! coll( skol28, skol26, X
% 3.87/4.23 ), coll( skol25, X, skol28 ) }.
% 3.87/4.23 parent1[1]: (170) {G1,W8,D2,L2,V3,M2} R(1,0) { ! coll( X, Y, Z ), coll( Y,
% 3.87/4.23 Z, X ) }.
% 3.87/4.23 substitution0:
% 3.87/4.23 X := X
% 3.87/4.23 end
% 3.87/4.23 substitution1:
% 3.87/4.23 X := X
% 3.87/4.23 Y := skol28
% 3.87/4.23 Z := skol26
% 3.87/4.23 end
% 3.87/4.23
% 3.87/4.23 subsumption: (948) {G3,W8,D2,L2,V1,M2} R(700,170) { coll( skol25, X, skol28
% 3.87/4.23 ), ! coll( X, skol28, skol26 ) }.
% 3.87/4.23 parent0: (25110) {G2,W8,D2,L2,V1,M2} { coll( skol25, X, skol28 ), ! coll(
% 3.87/4.23 X, skol28, skol26 ) }.
% 3.87/4.23 substitution0:
% 3.87/4.23 X := X
% 3.87/4.23 end
% 3.87/4.23 permutation0:
% 3.87/4.23 0 ==> 0
% 3.87/4.23 1 ==> 1
% 3.87/4.23 end
% 3.87/4.23
% 3.87/4.23 resolution: (25112) {G2,W8,D2,L2,V1,M2} { coll( X, skol28, skol25 ), !
% 3.87/4.23 coll( X, skol28, skol26 ) }.
% 3.87/4.23 parent0[0]: (170) {G1,W8,D2,L2,V3,M2} R(1,0) { ! coll( X, Y, Z ), coll( Y,
% 3.87/4.23 Z, X ) }.
% 3.87/4.23 parent1[0]: (948) {G3,W8,D2,L2,V1,M2} R(700,170) { coll( skol25, X, skol28
% 3.87/4.23 ), ! coll( X, skol28, skol26 ) }.
% 3.87/4.23 substitution0:
% 3.87/4.23 X := skol25
% 3.87/4.23 Y := X
% 3.87/4.23 Z := skol28
% 3.87/4.23 end
% 3.87/4.23 substitution1:
% 3.87/4.23 X := X
% 3.87/4.23 end
% 3.87/4.23
% 3.87/4.23 subsumption: (1831) {G4,W8,D2,L2,V1,M2} R(948,170) { ! coll( X, skol28,
% 3.87/4.23 skol26 ), coll( X, skol28, skol25 ) }.
% 3.87/4.23 parent0: (25112) {G2,W8,D2,L2,V1,M2} { coll( X, skol28, skol25 ), ! coll(
% 3.87/4.23 X, skol28, skol26 ) }.
% 3.87/4.23 substitution0:
% 3.87/4.23 X := X
% 3.87/4.23 end
% 3.87/4.23 permutation0:
% 3.87/4.23 0 ==> 1
% 3.87/4.23 1 ==> 0
% 3.87/4.23 end
% 3.87/4.23
% 3.87/4.23 resolution: (25115) {G1,W12,D2,L3,V2,M3} { ! coll( X, skol28, Y ), coll(
% 3.87/4.23 skol25, Y, X ), ! coll( X, skol28, skol26 ) }.
% 3.87/4.23 parent0[0]: (2) {G0,W12,D2,L3,V4,M3} I { ! coll( X, T, Y ), ! coll( X, T, Z
% 3.87/4.23 ), coll( Y, Z, X ) }.
% 3.87/4.23 parent1[1]: (1831) {G4,W8,D2,L2,V1,M2} R(948,170) { ! coll( X, skol28,
% 3.87/4.23 skol26 ), coll( X, skol28, skol25 ) }.
% 3.87/4.23 substitution0:
% 3.87/4.23 X := X
% 3.87/4.23 Y := skol25
% 3.87/4.23 Z := Y
% 3.87/4.23 T := skol28
% 3.87/4.23 end
% 3.87/4.23 substitution1:
% 3.87/4.23 X := X
% 3.87/4.23 end
% 3.87/4.23
% 3.87/4.23 subsumption: (1849) {G5,W12,D2,L3,V2,M3} R(1831,2) { ! coll( X, skol28,
% 3.87/4.23 skol26 ), ! coll( X, skol28, Y ), coll( skol25, Y, X ) }.
% 3.87/4.23 parent0: (25115) {G1,W12,D2,L3,V2,M3} { ! coll( X, skol28, Y ), coll(
% 3.87/4.23 skol25, Y, X ), ! coll( X, skol28, skol26 ) }.
% 3.87/4.23 substitution0:
% 3.87/4.23 X := X
% 3.87/4.23 Y := Y
% 3.87/4.23 end
% 3.87/4.23 permutation0:
% 3.87/4.23 0 ==> 1
% 3.87/4.23 1 ==> 2
% 3.87/4.23 2 ==> 0
% 3.87/4.23 end
% 3.87/4.23
% 3.87/4.23 factor: (25119) {G5,W8,D2,L2,V1,M2} { ! coll( X, skol28, skol26 ), coll(
% 3.87/4.23 skol25, skol26, X ) }.
% 3.87/4.23 parent0[0, 1]: (1849) {G5,W12,D2,L3,V2,M3} R(1831,2) { ! coll( X, skol28,
% 3.87/4.23 skol26 ), ! coll( X, skol28, Y ), coll( skol25, Y, X ) }.
% 3.87/4.23 substitution0:
% 3.87/4.23 X := X
% 3.87/4.23 Y := skol26
% 3.87/4.23 end
% 3.87/4.23
% 3.87/4.23 subsumption: (1854) {G6,W8,D2,L2,V1,M2} F(1849) { ! coll( X, skol28, skol26
% 3.87/4.23 ), coll( skol25, skol26, X ) }.
% 3.87/4.23 parent0: (25119) {G5,W8,D2,L2,V1,M2} { ! coll( X, skol28, skol26 ), coll(
% 3.87/4.23 skol25, skol26, X ) }.
% 3.87/4.23 substitution0:
% 3.87/4.23 X := X
% 3.87/4.23 end
% 3.87/4.23 permutation0:
% 3.87/4.23 0 ==> 0
% 3.87/4.23 1 ==> 1
% 3.87/4.23 end
% 3.87/4.23
% 3.87/4.23 resolution: (25120) {G1,W5,D2,L1,V0,M1} { cong( skol28, skol26, skol28,
% 3.87/4.23 skol25 ) }.
% 3.87/4.23 parent0[0]: (68) {G0,W9,D2,L2,V3,M2} I { ! midp( X, Y, Z ), cong( X, Y, X,
% 3.87/4.23 Z ) }.
% 3.87/4.23 parent1[0]: (117) {G0,W4,D2,L1,V0,M1} I { midp( skol28, skol26, skol25 )
% 3.87/4.23 }.
% 3.87/4.23 substitution0:
% 3.87/4.23 X := skol28
% 3.87/4.23 Y := skol26
% 3.87/4.23 Z := skol25
% 3.87/4.23 end
% 3.87/4.23 substitution1:
% 3.87/4.23 end
% 3.87/4.23
% 3.87/4.23 subsumption: (2452) {G1,W5,D2,L1,V0,M1} R(68,117) { cong( skol28, skol26,
% 3.87/4.23 skol28, skol25 ) }.
% 3.87/4.23 parent0: (25120) {G1,W5,D2,L1,V0,M1} { cong( skol28, skol26, skol28,
% 3.87/4.23 skol25 ) }.
% 3.87/4.23 substitution0:
% 3.87/4.23 end
% 3.87/4.23 permutation0:
% 3.87/4.23 0 ==> 0
% 3.87/4.23 end
% 3.87/4.23
% 3.87/4.23 resolution: (25121) {G2,W8,D2,L2,V1,M2} { coll( skol25, skol26, X ), !
% 3.87/4.23 midp( skol28, X, skol26 ) }.
% 3.87/4.23 parent0[0]: (1854) {G6,W8,D2,L2,V1,M2} F(1849) { ! coll( X, skol28, skol26
% 3.87/4.23 ), coll( skol25, skol26, X ) }.
% 3.87/4.23 parent1[1]: (629) {G1,W8,D2,L2,V3,M2} R(69,1) { ! midp( X, Y, Z ), coll( Y
% 3.87/4.23 , X, Z ) }.
% 3.87/4.23 substitution0:
% 3.87/4.23 X := X
% 3.87/4.23 end
% 3.87/4.23 substitution1:
% 3.87/4.23 X := skol28
% 3.87/4.23 Y := X
% 3.87/4.23 Z := skol26
% 3.87/4.23 end
% 3.87/4.23
% 3.87/4.23 subsumption: (2821) {G7,W8,D2,L2,V1,M2} R(1854,629) { coll( skol25, skol26
% 3.87/4.23 , X ), ! midp( skol28, X, skol26 ) }.
% 3.87/4.23 parent0: (25121) {G2,W8,D2,L2,V1,M2} { coll( skol25, skol26, X ), ! midp(
% 3.87/4.23 skol28, X, skol26 ) }.
% 3.87/4.23 substitution0:
% 3.87/4.23 X := X
% 3.87/4.23 end
% 3.87/4.23 permutation0:
% 3.87/4.23 0 ==> 0
% 3.87/4.23 1 ==> 1
% 3.87/4.23 end
% 3.87/4.23
% 3.87/4.23 resolution: (25122) {G3,W8,D2,L2,V1,M2} { coll( skol25, skol26, X ), !
% 3.87/4.23 midp( skol28, skol26, X ) }.
% 3.87/4.23 parent0[0]: (1854) {G6,W8,D2,L2,V1,M2} F(1849) { ! coll( X, skol28, skol26
% 3.87/4.23 ), coll( skol25, skol26, X ) }.
% 3.87/4.23 parent1[1]: (603) {G2,W8,D2,L2,V3,M2} R(69,169) { ! midp( X, Y, Z ), coll(
% 3.87/4.23 Z, X, Y ) }.
% 3.87/4.23 substitution0:
% 3.87/4.23 X := X
% 3.87/4.23 end
% 3.87/4.23 substitution1:
% 3.87/4.23 X := skol28
% 3.87/4.23 Y := skol26
% 3.87/4.23 Z := X
% 3.87/4.23 end
% 3.87/4.23
% 3.87/4.23 subsumption: (2824) {G7,W8,D2,L2,V1,M2} R(1854,603) { coll( skol25, skol26
% 3.87/4.23 , X ), ! midp( skol28, skol26, X ) }.
% 3.87/4.23 parent0: (25122) {G3,W8,D2,L2,V1,M2} { coll( skol25, skol26, X ), ! midp(
% 3.87/4.23 skol28, skol26, X ) }.
% 3.87/4.23 substitution0:
% 3.87/4.23 X := X
% 3.87/4.23 end
% 3.87/4.23 permutation0:
% 3.87/4.23 0 ==> 0
% 3.87/4.23 1 ==> 1
% 3.87/4.23 end
% 3.87/4.23
% 3.87/4.23 resolution: (25123) {G1,W8,D2,L2,V1,M2} { coll( skol25, X, skol26 ), !
% 3.87/4.23 midp( skol28, X, skol26 ) }.
% 3.87/4.23 parent0[0]: (0) {G0,W8,D2,L2,V3,M2} I { ! coll( X, Y, Z ), coll( X, Z, Y )
% 3.87/4.23 }.
% 3.87/4.23 parent1[0]: (2821) {G7,W8,D2,L2,V1,M2} R(1854,629) { coll( skol25, skol26,
% 3.87/4.23 X ), ! midp( skol28, X, skol26 ) }.
% 3.87/4.23 substitution0:
% 3.87/4.23 X := skol25
% 3.87/4.23 Y := skol26
% 3.87/4.23 Z := X
% 3.87/4.23 end
% 3.87/4.23 substitution1:
% 3.87/4.23 X := X
% 3.87/4.23 end
% 3.87/4.23
% 3.87/4.23 subsumption: (2847) {G8,W8,D2,L2,V1,M2} R(2821,0) { ! midp( skol28, X,
% 3.87/4.23 skol26 ), coll( skol25, X, skol26 ) }.
% 3.87/4.23 parent0: (25123) {G1,W8,D2,L2,V1,M2} { coll( skol25, X, skol26 ), ! midp(
% 3.87/4.23 skol28, X, skol26 ) }.
% 3.87/4.23 substitution0:
% 3.87/4.23 X := X
% 3.87/4.23 end
% 3.87/4.23 permutation0:
% 3.87/4.23 0 ==> 1
% 3.87/4.23 1 ==> 0
% 3.87/4.23 end
% 3.87/4.23
% 3.87/4.23 resolution: (25124) {G2,W5,D2,L1,V0,M1} { circle( skol28, skol26, skol25,
% 3.87/4.23 skol25 ) }.
% 3.87/4.23 parent0[0]: (128) {G1,W10,D2,L2,V3,M2} F(11) { ! cong( X, Y, X, Z ), circle
% 3.87/4.23 ( X, Y, Z, Z ) }.
% 3.87/4.23 parent1[0]: (2452) {G1,W5,D2,L1,V0,M1} R(68,117) { cong( skol28, skol26,
% 3.87/4.23 skol28, skol25 ) }.
% 3.87/4.23 substitution0:
% 3.87/4.23 X := skol28
% 3.87/4.23 Y := skol26
% 3.87/4.23 Z := skol25
% 3.87/4.23 end
% 3.87/4.23 substitution1:
% 3.87/4.23 end
% 3.87/4.23
% 3.87/4.23 subsumption: (7147) {G2,W5,D2,L1,V0,M1} R(128,2452) { circle( skol28,
% 3.87/4.23 skol26, skol25, skol25 ) }.
% 3.87/4.23 parent0: (25124) {G2,W5,D2,L1,V0,M1} { circle( skol28, skol26, skol25,
% 3.87/4.23 skol25 ) }.
% 3.87/4.23 substitution0:
% 3.87/4.23 end
% 3.87/4.23 permutation0:
% 3.87/4.23 0 ==> 0
% 3.87/4.23 end
% 3.87/4.23
% 3.87/4.23 resolution: (25125) {G1,W9,D2,L2,V0,M2} { ! coll( skol28, skol26, skol25 )
% 3.87/4.23 , perp( skol26, skol25, skol25, skol25 ) }.
% 3.87/4.23 parent0[0]: (53) {G0,W14,D2,L3,V4,M3} I { ! circle( T, X, Y, Z ), ! coll( T
% 3.87/4.23 , X, Z ), perp( X, Y, Y, Z ) }.
% 3.87/4.23 parent1[0]: (7147) {G2,W5,D2,L1,V0,M1} R(128,2452) { circle( skol28, skol26
% 3.87/4.23 , skol25, skol25 ) }.
% 3.87/4.23 substitution0:
% 3.87/4.23 X := skol26
% 3.87/4.23 Y := skol25
% 3.87/4.23 Z := skol25
% 3.87/4.23 T := skol28
% 3.87/4.23 end
% 3.87/4.23 substitution1:
% 3.87/4.23 end
% 3.87/4.23
% 3.87/4.23 resolution: (25126) {G2,W5,D2,L1,V0,M1} { perp( skol26, skol25, skol25,
% 3.87/4.23 skol25 ) }.
% 3.87/4.23 parent0[0]: (25125) {G1,W9,D2,L2,V0,M2} { ! coll( skol28, skol26, skol25 )
% 3.87/4.23 , perp( skol26, skol25, skol25, skol25 ) }.
% 3.87/4.23 parent1[0]: (630) {G1,W4,D2,L1,V0,M1} R(69,117) { coll( skol28, skol26,
% 3.87/4.23 skol25 ) }.
% 3.87/4.23 substitution0:
% 3.87/4.23 end
% 3.87/4.23 substitution1:
% 3.87/4.23 end
% 3.87/4.23
% 3.87/4.23 subsumption: (7157) {G3,W5,D2,L1,V0,M1} R(7147,53);r(630) { perp( skol26,
% 3.87/4.23 skol25, skol25, skol25 ) }.
% 3.87/4.23 parent0: (25126) {G2,W5,D2,L1,V0,M1} { perp( skol26, skol25, skol25,
% 3.87/4.23 skol25 ) }.
% 3.87/4.23 substitution0:
% 3.87/4.23 end
% 3.87/4.23 permutation0:
% 3.87/4.23 0 ==> 0
% 3.87/4.23 end
% 3.87/4.23
% 3.87/4.23 resolution: (25127) {G1,W12,D3,L2,V2,M2} { ! coll( skol25, X, Y ), perp(
% 3.87/4.23 skol16( skol26, X, Y ), skol26, X, Y ) }.
% 3.87/4.23 parent0[0]: (110) {G0,W17,D3,L3,V5,M3} I { ! perp( X, U, U, T ), ! coll( T
% 3.87/4.23 , Y, Z ), perp( skol16( X, Y, Z ), X, Y, Z ) }.
% 3.87/4.23 parent1[0]: (7157) {G3,W5,D2,L1,V0,M1} R(7147,53);r(630) { perp( skol26,
% 3.87/4.23 skol25, skol25, skol25 ) }.
% 3.87/4.23 substitution0:
% 3.87/4.23 X := skol26
% 3.87/4.23 Y := X
% 3.87/4.23 Z := Y
% 3.87/4.23 T := skol25
% 3.87/4.23 U := skol25
% 3.87/4.23 end
% 3.87/4.23 substitution1:
% 3.87/4.23 end
% 3.87/4.23
% 3.87/4.23 subsumption: (7163) {G4,W12,D3,L2,V2,M2} R(7157,110) { ! coll( skol25, X, Y
% 3.87/4.23 ), perp( skol16( skol26, X, Y ), skol26, X, Y ) }.
% 3.87/4.23 parent0: (25127) {G1,W12,D3,L2,V2,M2} { ! coll( skol25, X, Y ), perp(
% 3.87/4.23 skol16( skol26, X, Y ), skol26, X, Y ) }.
% 3.87/4.23 substitution0:
% 3.87/4.23 X := X
% 3.87/4.23 Y := Y
% 3.87/4.23 end
% 3.87/4.23 permutation0:
% 3.87/4.23 0 ==> 0
% 3.87/4.23 1 ==> 1
% 3.87/4.23 end
% 3.87/4.23
% 3.87/4.23 resolution: (25128) {G2,W18,D3,L4,V2,M4} { ! midp( X, skol26, skol25 ), !
% 3.87/4.23 coll( skol26, skol26, skol25 ), midp( skol7( skol26, Y ), skol26, Y ), !
% 3.87/4.23 midp( skol28, skol26, skol25 ) }.
% 3.87/4.23 parent0[2]: (148) {G1,W18,D3,L4,V4,M4} F(88) { ! midp( X, Y, Z ), ! coll( Y
% 3.87/4.23 , Y, Z ), ! coll( Z, Y, Z ), midp( skol7( Y, T ), Y, T ) }.
% 3.87/4.23 parent1[0]: (2824) {G7,W8,D2,L2,V1,M2} R(1854,603) { coll( skol25, skol26,
% 3.87/4.23 X ), ! midp( skol28, skol26, X ) }.
% 3.87/4.23 substitution0:
% 3.87/4.23 X := X
% 3.87/4.23 Y := skol26
% 3.87/4.23 Z := skol25
% 3.87/4.23 T := Y
% 3.87/4.23 end
% 3.87/4.23 substitution1:
% 3.87/4.23 X := skol25
% 3.87/4.23 end
% 3.87/4.23
% 3.87/4.23 resolution: (25131) {G3,W14,D3,L3,V2,M3} { ! midp( X, skol26, skol25 ),
% 3.87/4.23 midp( skol7( skol26, Y ), skol26, Y ), ! midp( skol28, skol26, skol25 )
% 3.87/4.23 }.
% 3.87/4.23 parent0[1]: (25128) {G2,W18,D3,L4,V2,M4} { ! midp( X, skol26, skol25 ), !
% 3.87/4.23 coll( skol26, skol26, skol25 ), midp( skol7( skol26, Y ), skol26, Y ), !
% 3.87/4.23 midp( skol28, skol26, skol25 ) }.
% 3.87/4.23 parent1[0]: (640) {G11,W4,D2,L1,V0,M1} R(624,563) { coll( skol26, skol26,
% 3.87/4.23 skol25 ) }.
% 3.87/4.23 substitution0:
% 3.87/4.23 X := X
% 3.87/4.23 Y := Y
% 3.87/4.23 end
% 3.87/4.23 substitution1:
% 3.87/4.23 end
% 3.87/4.23
% 3.87/4.23 subsumption: (7964) {G12,W14,D3,L3,V2,M3} R(148,2824);r(640) { ! midp( X,
% 3.87/4.23 skol26, skol25 ), midp( skol7( skol26, Y ), skol26, Y ), ! midp( skol28,
% 3.87/4.23 skol26, skol25 ) }.
% 3.87/4.23 parent0: (25131) {G3,W14,D3,L3,V2,M3} { ! midp( X, skol26, skol25 ), midp
% 3.87/4.23 ( skol7( skol26, Y ), skol26, Y ), ! midp( skol28, skol26, skol25 ) }.
% 3.87/4.23 substitution0:
% 3.87/4.23 X := X
% 3.87/4.23 Y := Y
% 3.87/4.23 end
% 3.87/4.23 permutation0:
% 3.87/4.23 0 ==> 0
% 3.87/4.23 1 ==> 1
% 3.87/4.23 2 ==> 2
% 3.87/4.23 end
% 3.87/4.23
% 3.87/4.23 resolution: (25133) {G2,W18,D3,L4,V2,M4} { ! midp( X, skol25, skol26 ), !
% 3.87/4.23 coll( skol26, skol25, skol26 ), midp( skol7( skol25, Y ), skol25, Y ), !
% 3.87/4.23 midp( skol28, skol25, skol26 ) }.
% 3.87/4.23 parent0[1]: (148) {G1,W18,D3,L4,V4,M4} F(88) { ! midp( X, Y, Z ), ! coll( Y
% 3.87/4.23 , Y, Z ), ! coll( Z, Y, Z ), midp( skol7( Y, T ), Y, T ) }.
% 3.87/4.23 parent1[1]: (2847) {G8,W8,D2,L2,V1,M2} R(2821,0) { ! midp( skol28, X,
% 3.87/4.23 skol26 ), coll( skol25, X, skol26 ) }.
% 3.87/4.23 substitution0:
% 3.87/4.23 X := X
% 3.87/4.23 Y := skol25
% 3.87/4.23 Z := skol26
% 3.87/4.23 T := Y
% 3.87/4.23 end
% 3.87/4.23 substitution1:
% 3.87/4.23 X := skol25
% 3.87/4.23 end
% 3.87/4.23
% 3.87/4.23 resolution: (25136) {G3,W14,D3,L3,V2,M3} { ! midp( X, skol25, skol26 ),
% 3.87/4.23 midp( skol7( skol25, Y ), skol25, Y ), ! midp( skol28, skol25, skol26 )
% 3.87/4.23 }.
% 3.87/4.23 parent0[1]: (25133) {G2,W18,D3,L4,V2,M4} { ! midp( X, skol25, skol26 ), !
% 3.87/4.23 coll( skol26, skol25, skol26 ), midp( skol7( skol25, Y ), skol25, Y ), !
% 3.87/4.23 midp( skol28, skol25, skol26 ) }.
% 3.87/4.23 parent1[0]: (635) {G4,W4,D2,L1,V0,M1} R(624,249) { coll( skol26, skol25,
% 3.87/4.23 skol26 ) }.
% 3.87/4.23 substitution0:
% 3.87/4.23 X := X
% 3.87/4.23 Y := Y
% 3.87/4.23 end
% 3.87/4.23 substitution1:
% 3.87/4.23 end
% 3.87/4.23
% 3.87/4.23 subsumption: (7975) {G9,W14,D3,L3,V2,M3} R(148,2847);r(635) { ! midp( X,
% 3.87/4.23 skol25, skol26 ), midp( skol7( skol25, Y ), skol25, Y ), ! midp( skol28,
% 3.87/4.23 skol25, skol26 ) }.
% 3.87/4.23 parent0: (25136) {G3,W14,D3,L3,V2,M3} { ! midp( X, skol25, skol26 ), midp
% 3.87/4.23 ( skol7( skol25, Y ), skol25, Y ), ! midp( skol28, skol25, skol26 ) }.
% 3.87/4.23 substitution0:
% 3.87/4.23 X := X
% 3.87/4.23 Y := Y
% 3.87/4.23 end
% 3.87/4.23 permutation0:
% 3.87/4.23 0 ==> 0
% 3.87/4.23 1 ==> 1
% 3.87/4.23 2 ==> 2
% 3.87/4.23 end
% 3.87/4.23
% 3.87/4.23 factor: (25138) {G9,W10,D3,L2,V1,M2} { ! midp( skol28, skol25, skol26 ),
% 3.87/4.23 midp( skol7( skol25, X ), skol25, X ) }.
% 3.87/4.23 parent0[0, 2]: (7975) {G9,W14,D3,L3,V2,M3} R(148,2847);r(635) { ! midp( X,
% 3.87/4.23 skol25, skol26 ), midp( skol7( skol25, Y ), skol25, Y ), ! midp( skol28,
% 3.87/4.23 skol25, skol26 ) }.
% 3.87/4.23 substitution0:
% 3.87/4.23 X := skol28
% 3.87/4.23 Y := X
% 3.87/4.23 end
% 3.87/4.23
% 3.87/4.23 resolution: (25139) {G2,W6,D3,L1,V1,M1} { midp( skol7( skol25, X ), skol25
% 3.87/4.23 , X ) }.
% 3.87/4.23 parent0[0]: (25138) {G9,W10,D3,L2,V1,M2} { ! midp( skol28, skol25, skol26
% 3.87/4.23 ), midp( skol7( skol25, X ), skol25, X ) }.
% 3.87/4.23 parent1[0]: (327) {G1,W4,D2,L1,V0,M1} R(10,117) { midp( skol28, skol25,
% 3.87/4.23 skol26 ) }.
% 3.87/4.23 substitution0:
% 3.87/4.23 X := X
% 3.87/4.23 end
% 3.87/4.23 substitution1:
% 3.87/4.23 end
% 3.87/4.23
% 3.87/4.23 subsumption: (8063) {G10,W6,D3,L1,V1,M1} F(7975);r(327) { midp( skol7(
% 3.87/4.23 skol25, X ), skol25, X ) }.
% 3.87/4.23 parent0: (25139) {G2,W6,D3,L1,V1,M1} { midp( skol7( skol25, X ), skol25, X
% 3.87/4.23 ) }.
% 3.87/4.23 substitution0:
% 3.87/4.23 X := X
% 3.87/4.23 end
% 3.87/4.23 permutation0:
% 3.87/4.23 0 ==> 0
% 3.87/4.23 end
% 3.87/4.23
% 3.87/4.23 factor: (25140) {G12,W10,D3,L2,V1,M2} { ! midp( skol28, skol26, skol25 ),
% 3.87/4.23 midp( skol7( skol26, X ), skol26, X ) }.
% 3.87/4.23 parent0[0, 2]: (7964) {G12,W14,D3,L3,V2,M3} R(148,2824);r(640) { ! midp( X
% 3.87/4.23 , skol26, skol25 ), midp( skol7( skol26, Y ), skol26, Y ), ! midp( skol28
% 3.87/4.23 , skol26, skol25 ) }.
% 3.87/4.23 substitution0:
% 3.87/4.23 X := skol28
% 3.87/4.23 Y := X
% 3.87/4.23 end
% 3.87/4.23
% 3.87/4.23 resolution: (25141) {G1,W6,D3,L1,V1,M1} { midp( skol7( skol26, X ), skol26
% 3.87/4.23 , X ) }.
% 3.87/4.23 parent0[0]: (25140) {G12,W10,D3,L2,V1,M2} { ! midp( skol28, skol26, skol25
% 3.87/4.23 ), midp( skol7( skol26, X ), skol26, X ) }.
% 3.87/4.23 parent1[0]: (117) {G0,W4,D2,L1,V0,M1} I { midp( skol28, skol26, skol25 )
% 3.87/4.23 }.
% 3.87/4.23 substitution0:
% 3.87/4.23 X := X
% 3.87/4.23 end
% 3.87/4.23 substitution1:
% 3.87/4.23 end
% 3.87/4.23
% 3.87/4.23 subsumption: (8064) {G13,W6,D3,L1,V1,M1} F(7964);r(117) { midp( skol7(
% 3.87/4.23 skol26, X ), skol26, X ) }.
% 3.87/4.23 parent0: (25141) {G1,W6,D3,L1,V1,M1} { midp( skol7( skol26, X ), skol26, X
% 3.87/4.24 ) }.
% 3.87/4.24 substitution0:
% 3.87/4.24 X := X
% 3.87/4.24 end
% 3.87/4.24 permutation0:
% 3.87/4.24 0 ==> 0
% 3.87/4.24 end
% 3.87/4.24
% 3.87/4.24 resolution: (25142) {G12,W4,D2,L1,V1,M1} { coll( skol26, skol26, X ) }.
% 3.87/4.24 parent0[0]: (610) {G11,W8,D2,L2,V3,M2} R(69,564) { ! midp( X, Y, Z ), coll
% 3.87/4.24 ( Y, Y, Z ) }.
% 3.87/4.24 parent1[0]: (8064) {G13,W6,D3,L1,V1,M1} F(7964);r(117) { midp( skol7(
% 3.87/4.24 skol26, X ), skol26, X ) }.
% 3.87/4.24 substitution0:
% 3.87/4.24 X := skol7( skol26, X )
% 3.87/4.24 Y := skol26
% 3.87/4.24 Z := X
% 3.87/4.24 end
% 3.87/4.24 substitution1:
% 3.87/4.24 X := X
% 3.87/4.24 end
% 3.87/4.24
% 3.87/4.24 subsumption: (8112) {G14,W4,D2,L1,V1,M1} R(8064,610) { coll( skol26, skol26
% 3.87/4.24 , X ) }.
% 3.87/4.24 parent0: (25142) {G12,W4,D2,L1,V1,M1} { coll( skol26, skol26, X ) }.
% 3.87/4.24 substitution0:
% 3.87/4.24 X := X
% 3.87/4.24 end
% 3.87/4.24 permutation0:
% 3.87/4.24 0 ==> 0
% 3.87/4.24 end
% 3.87/4.24
% 3.87/4.24 resolution: (25143) {G1,W8,D2,L2,V2,M2} { ! coll( skol26, skol26, Y ),
% 3.87/4.24 coll( X, Y, skol26 ) }.
% 3.87/4.24 parent0[0]: (2) {G0,W12,D2,L3,V4,M3} I { ! coll( X, T, Y ), ! coll( X, T, Z
% 3.87/4.24 ), coll( Y, Z, X ) }.
% 3.87/4.24 parent1[0]: (8112) {G14,W4,D2,L1,V1,M1} R(8064,610) { coll( skol26, skol26
% 3.87/4.24 , X ) }.
% 3.87/4.24 substitution0:
% 3.87/4.24 X := skol26
% 3.87/4.24 Y := X
% 3.87/4.24 Z := Y
% 3.87/4.24 T := skol26
% 3.87/4.24 end
% 3.87/4.24 substitution1:
% 3.87/4.24 X := X
% 3.87/4.24 end
% 3.87/4.24
% 3.87/4.24 resolution: (25145) {G2,W4,D2,L1,V2,M1} { coll( Y, X, skol26 ) }.
% 3.87/4.24 parent0[0]: (25143) {G1,W8,D2,L2,V2,M2} { ! coll( skol26, skol26, Y ),
% 3.87/4.24 coll( X, Y, skol26 ) }.
% 3.87/4.24 parent1[0]: (8112) {G14,W4,D2,L1,V1,M1} R(8064,610) { coll( skol26, skol26
% 3.87/4.24 , X ) }.
% 3.87/4.24 substitution0:
% 3.87/4.24 X := Y
% 3.87/4.24 Y := X
% 3.87/4.24 end
% 3.87/4.24 substitution1:
% 3.87/4.24 X := X
% 3.87/4.24 end
% 3.87/4.24
% 3.87/4.24 subsumption: (8171) {G15,W4,D2,L1,V2,M1} R(8112,2);r(8112) { coll( Y, X,
% 3.87/4.24 skol26 ) }.
% 3.87/4.24 parent0: (25145) {G2,W4,D2,L1,V2,M1} { coll( Y, X, skol26 ) }.
% 3.87/4.24 substitution0:
% 3.87/4.24 X := X
% 3.87/4.24 Y := Y
% 3.87/4.24 end
% 3.87/4.24 permutation0:
% 3.87/4.24 0 ==> 0
% 3.87/4.24 end
% 3.87/4.24
% 3.87/4.24 resolution: (25146) {G2,W4,D2,L1,V2,M1} { coll( Y, skol26, X ) }.
% 3.87/4.24 parent0[0]: (170) {G1,W8,D2,L2,V3,M2} R(1,0) { ! coll( X, Y, Z ), coll( Y,
% 3.87/4.24 Z, X ) }.
% 3.87/4.24 parent1[0]: (8171) {G15,W4,D2,L1,V2,M1} R(8112,2);r(8112) { coll( Y, X,
% 3.87/4.24 skol26 ) }.
% 3.87/4.24 substitution0:
% 3.87/4.24 X := X
% 3.87/4.24 Y := Y
% 3.87/4.24 Z := skol26
% 3.87/4.24 end
% 3.87/4.24 substitution1:
% 3.87/4.24 X := Y
% 3.87/4.24 Y := X
% 3.87/4.24 end
% 3.87/4.24
% 3.87/4.24 subsumption: (8196) {G16,W4,D2,L1,V2,M1} R(8171,170) { coll( X, skol26, Y )
% 3.87/4.24 }.
% 3.87/4.24 parent0: (25146) {G2,W4,D2,L1,V2,M1} { coll( Y, skol26, X ) }.
% 3.87/4.24 substitution0:
% 3.87/4.24 X := Y
% 3.87/4.24 Y := X
% 3.87/4.24 end
% 3.87/4.24 permutation0:
% 3.87/4.24 0 ==> 0
% 3.87/4.24 end
% 3.87/4.24
% 3.87/4.24 resolution: (25147) {G1,W8,D2,L2,V3,M2} { ! coll( X, skol26, Z ), coll( Y
% 3.87/4.24 , Z, X ) }.
% 3.87/4.24 parent0[0]: (2) {G0,W12,D2,L3,V4,M3} I { ! coll( X, T, Y ), ! coll( X, T, Z
% 3.87/4.24 ), coll( Y, Z, X ) }.
% 3.87/4.24 parent1[0]: (8196) {G16,W4,D2,L1,V2,M1} R(8171,170) { coll( X, skol26, Y )
% 3.87/4.24 }.
% 3.87/4.24 substitution0:
% 3.87/4.24 X := X
% 3.87/4.24 Y := Y
% 3.87/4.24 Z := Z
% 3.87/4.24 T := skol26
% 3.87/4.24 end
% 3.87/4.24 substitution1:
% 3.87/4.24 X := X
% 3.87/4.24 Y := Y
% 3.87/4.24 end
% 3.87/4.24
% 3.87/4.24 resolution: (25149) {G2,W4,D2,L1,V3,M1} { coll( Z, Y, X ) }.
% 3.87/4.24 parent0[0]: (25147) {G1,W8,D2,L2,V3,M2} { ! coll( X, skol26, Z ), coll( Y
% 3.87/4.24 , Z, X ) }.
% 3.87/4.24 parent1[0]: (8196) {G16,W4,D2,L1,V2,M1} R(8171,170) { coll( X, skol26, Y )
% 3.87/4.24 }.
% 3.87/4.24 substitution0:
% 3.87/4.24 X := X
% 3.87/4.24 Y := Z
% 3.87/4.24 Z := Y
% 3.87/4.24 end
% 3.87/4.24 substitution1:
% 3.87/4.24 X := X
% 3.87/4.24 Y := Y
% 3.87/4.24 end
% 3.87/4.24
% 3.87/4.24 subsumption: (8209) {G17,W4,D2,L1,V3,M1} R(8196,2);r(8196) { coll( Z, Y, X
% 3.87/4.24 ) }.
% 3.87/4.24 parent0: (25149) {G2,W4,D2,L1,V3,M1} { coll( Z, Y, X ) }.
% 3.87/4.24 substitution0:
% 3.87/4.24 X := X
% 3.87/4.24 Y := Y
% 3.87/4.24 Z := Z
% 3.87/4.24 end
% 3.87/4.24 permutation0:
% 3.87/4.24 0 ==> 0
% 3.87/4.24 end
% 3.87/4.24
% 3.87/4.24 resolution: (25150) {G2,W5,D2,L1,V1,M1} { para( skol25, skol25, X, X ) }.
% 3.87/4.24 parent0[0]: (141) {G1,W9,D2,L2,V3,M2} F(63) { ! midp( X, Y, Z ), para( Y, Y
% 3.87/4.24 , Z, Z ) }.
% 3.87/4.24 parent1[0]: (8063) {G10,W6,D3,L1,V1,M1} F(7975);r(327) { midp( skol7(
% 3.87/4.24 skol25, X ), skol25, X ) }.
% 3.87/4.24 substitution0:
% 3.87/4.24 X := skol7( skol25, X )
% 3.87/4.24 Y := skol25
% 3.87/4.24 Z := X
% 3.87/4.24 end
% 3.87/4.24 substitution1:
% 3.87/4.24 X := X
% 3.87/4.24 end
% 3.87/4.24
% 3.87/4.24 subsumption: (8269) {G11,W5,D2,L1,V1,M1} R(8063,141) { para( skol25, skol25
% 3.87/4.24 , X, X ) }.
% 3.87/4.24 parent0: (25150) {G2,W5,D2,L1,V1,M1} { para( skol25, skol25, X, X ) }.
% 3.87/4.24 substitution0:
% 3.87/4.24 X := X
% 3.87/4.24 end
% 3.87/4.24 permutation0:
% 3.87/4.24 0 ==> 0
% 3.87/4.24 end
% 3.87/4.24
% 3.87/4.24 resolution: (25151) {G1,W5,D2,L1,V1,M1} { para( X, X, skol25, skol25 ) }.
% 3.87/4.24 parent0[0]: (4) {G0,W10,D2,L2,V4,M2} I { ! para( X, Y, Z, T ), para( Z, T,
% 3.87/4.24 X, Y ) }.
% 3.87/4.24 parent1[0]: (8269) {G11,W5,D2,L1,V1,M1} R(8063,141) { para( skol25, skol25
% 3.87/4.24 , X, X ) }.
% 3.87/4.24 substitution0:
% 3.87/4.24 X := skol25
% 3.87/4.24 Y := skol25
% 3.87/4.24 Z := X
% 3.87/4.24 T := X
% 3.87/4.24 end
% 3.87/4.24 substitution1:
% 3.87/4.24 X := X
% 3.87/4.24 end
% 3.87/4.24
% 3.87/4.24 subsumption: (8289) {G12,W5,D2,L1,V1,M1} R(8269,4) { para( X, X, skol25,
% 3.87/4.24 skol25 ) }.
% 3.87/4.24 parent0: (25151) {G1,W5,D2,L1,V1,M1} { para( X, X, skol25, skol25 ) }.
% 3.87/4.24 substitution0:
% 3.87/4.24 X := X
% 3.87/4.24 end
% 3.87/4.24 permutation0:
% 3.87/4.24 0 ==> 0
% 3.87/4.24 end
% 3.87/4.24
% 3.87/4.24 resolution: (25152) {G3,W5,D2,L1,V1,M1} { para( X, X, X, X ) }.
% 3.87/4.24 parent0[0]: (234) {G2,W10,D2,L2,V4,M2} F(230) { ! para( X, Y, Z, T ), para
% 3.87/4.24 ( X, Y, X, Y ) }.
% 3.87/4.24 parent1[0]: (8289) {G12,W5,D2,L1,V1,M1} R(8269,4) { para( X, X, skol25,
% 3.87/4.24 skol25 ) }.
% 3.87/4.24 substitution0:
% 3.87/4.24 X := X
% 3.87/4.24 Y := X
% 3.87/4.24 Z := skol25
% 3.87/4.24 T := skol25
% 3.87/4.24 end
% 3.87/4.24 substitution1:
% 3.87/4.24 X := X
% 3.87/4.24 end
% 3.87/4.24
% 3.87/4.24 subsumption: (8672) {G13,W5,D2,L1,V1,M1} R(234,8289) { para( X, X, X, X )
% 3.87/4.24 }.
% 3.87/4.24 parent0: (25152) {G3,W5,D2,L1,V1,M1} { para( X, X, X, X ) }.
% 3.87/4.24 substitution0:
% 3.87/4.24 X := X
% 3.87/4.24 end
% 3.87/4.24 permutation0:
% 3.87/4.24 0 ==> 0
% 3.87/4.24 end
% 3.87/4.24
% 3.87/4.24 resolution: (25153) {G1,W9,D2,L1,V3,M1} { eqangle( X, X, Y, Z, X, X, Y, Z
% 3.87/4.24 ) }.
% 3.87/4.24 parent0[0]: (39) {G0,W14,D2,L2,V6,M2} I { ! para( X, Y, Z, T ), eqangle( X
% 3.87/4.24 , Y, U, W, Z, T, U, W ) }.
% 3.87/4.24 parent1[0]: (8672) {G13,W5,D2,L1,V1,M1} R(234,8289) { para( X, X, X, X )
% 3.87/4.24 }.
% 3.87/4.24 substitution0:
% 3.87/4.24 X := X
% 3.87/4.24 Y := X
% 3.87/4.24 Z := X
% 3.87/4.24 T := X
% 3.87/4.24 U := Y
% 3.87/4.24 W := Z
% 3.87/4.24 end
% 3.87/4.24 substitution1:
% 3.87/4.24 X := X
% 3.87/4.24 end
% 3.87/4.24
% 3.87/4.24 subsumption: (8679) {G14,W9,D2,L1,V3,M1} R(8672,39) { eqangle( X, X, Y, Z,
% 3.87/4.24 X, X, Y, Z ) }.
% 3.87/4.24 parent0: (25153) {G1,W9,D2,L1,V3,M1} { eqangle( X, X, Y, Z, X, X, Y, Z )
% 3.87/4.24 }.
% 3.87/4.24 substitution0:
% 3.87/4.24 X := X
% 3.87/4.24 Y := Y
% 3.87/4.24 Z := Z
% 3.87/4.24 end
% 3.87/4.24 permutation0:
% 3.87/4.24 0 ==> 0
% 3.87/4.24 end
% 3.87/4.24
% 3.87/4.24 resolution: (25154) {G2,W9,D2,L1,V3,M1} { eqangle( X, X, X, X, Y, Z, Y, Z
% 3.87/4.24 ) }.
% 3.87/4.24 parent0[1]: (442) {G1,W18,D2,L2,V8,M2} R(20,17) { eqangle( X, Y, Z, T, U, W
% 3.87/4.24 , V0, V1 ), ! eqangle( Y, X, U, W, Z, T, V0, V1 ) }.
% 3.87/4.24 parent1[0]: (8679) {G14,W9,D2,L1,V3,M1} R(8672,39) { eqangle( X, X, Y, Z, X
% 3.87/4.24 , X, Y, Z ) }.
% 3.87/4.24 substitution0:
% 3.87/4.24 X := X
% 3.87/4.24 Y := X
% 3.87/4.24 Z := X
% 3.87/4.24 T := X
% 3.87/4.24 U := Y
% 3.87/4.24 W := Z
% 3.87/4.24 V0 := Y
% 3.87/4.24 V1 := Z
% 3.87/4.24 end
% 3.87/4.24 substitution1:
% 3.87/4.24 X := X
% 3.87/4.24 Y := Y
% 3.87/4.24 Z := Z
% 3.87/4.24 end
% 3.87/4.24
% 3.87/4.24 subsumption: (19786) {G15,W9,D2,L1,V3,M1} R(8679,442) { eqangle( X, X, X, X
% 3.87/4.24 , Y, Z, Y, Z ) }.
% 3.87/4.24 parent0: (25154) {G2,W9,D2,L1,V3,M1} { eqangle( X, X, X, X, Y, Z, Y, Z )
% 3.87/4.24 }.
% 3.87/4.24 substitution0:
% 3.87/4.24 X := X
% 3.87/4.24 Y := Y
% 3.87/4.24 Z := Z
% 3.87/4.24 end
% 3.87/4.24 permutation0:
% 3.87/4.24 0 ==> 0
% 3.87/4.24 end
% 3.87/4.24
% 3.87/4.24 resolution: (25155) {G2,W9,D2,L1,V3,M1} { eqangle( Z, Y, Y, Z, X, X, X, X
% 3.87/4.24 ) }.
% 3.87/4.24 parent0[0]: (425) {G1,W18,D2,L2,V8,M2} R(19,17) { ! eqangle( X, Y, Z, T, U
% 3.87/4.24 , W, V0, V1 ), eqangle( W, U, V0, V1, X, Y, Z, T ) }.
% 3.87/4.24 parent1[0]: (19786) {G15,W9,D2,L1,V3,M1} R(8679,442) { eqangle( X, X, X, X
% 3.87/4.24 , Y, Z, Y, Z ) }.
% 3.87/4.24 substitution0:
% 3.87/4.24 X := X
% 3.87/4.24 Y := X
% 3.87/4.24 Z := X
% 3.87/4.24 T := X
% 3.87/4.24 U := Y
% 3.87/4.24 W := Z
% 3.87/4.24 V0 := Y
% 3.87/4.24 V1 := Z
% 3.87/4.24 end
% 3.87/4.24 substitution1:
% 3.87/4.24 X := X
% 3.87/4.24 Y := Y
% 3.87/4.24 Z := Z
% 3.87/4.24 end
% 3.87/4.24
% 3.87/4.24 subsumption: (19791) {G16,W9,D2,L1,V3,M1} R(19786,425) { eqangle( X, Y, Y,
% 3.87/4.24 X, Z, Z, Z, Z ) }.
% 3.87/4.24 parent0: (25155) {G2,W9,D2,L1,V3,M1} { eqangle( Z, Y, Y, Z, X, X, X, X )
% 3.87/4.24 }.
% 3.87/4.24 substitution0:
% 3.87/4.24 X := Z
% 3.87/4.24 Y := Y
% 3.87/4.24 Z := X
% 3.87/4.24 end
% 3.87/4.24 permutation0:
% 3.87/4.24 0 ==> 0
% 3.87/4.24 end
% 3.87/4.24
% 3.87/4.24 resolution: (25156) {G1,W10,D2,L2,V3,M2} { ! para( Z, Z, Z, Z ), para( X,
% 3.87/4.24 Y, Y, X ) }.
% 3.87/4.24 parent0[0]: (72) {G0,W19,D2,L3,V8,M3} I { ! eqangle( X, Y, Z, T, U, W, V0,
% 3.87/4.24 V1 ), ! para( U, W, V0, V1 ), para( X, Y, Z, T ) }.
% 3.87/4.24 parent1[0]: (19791) {G16,W9,D2,L1,V3,M1} R(19786,425) { eqangle( X, Y, Y, X
% 3.87/4.24 , Z, Z, Z, Z ) }.
% 3.87/4.24 substitution0:
% 3.87/4.24 X := X
% 3.87/4.24 Y := Y
% 3.87/4.24 Z := Y
% 3.87/4.24 T := X
% 3.87/4.24 U := Z
% 3.87/4.24 W := Z
% 3.87/4.24 V0 := Z
% 3.87/4.24 V1 := Z
% 3.87/4.24 end
% 3.87/4.24 substitution1:
% 3.87/4.24 X := X
% 3.87/4.24 Y := Y
% 3.87/4.24 Z := Z
% 3.87/4.24 end
% 3.87/4.24
% 3.87/4.24 resolution: (25157) {G2,W5,D2,L1,V2,M1} { para( Y, Z, Z, Y ) }.
% 3.87/4.24 parent0[0]: (25156) {G1,W10,D2,L2,V3,M2} { ! para( Z, Z, Z, Z ), para( X,
% 3.87/4.24 Y, Y, X ) }.
% 3.87/4.24 parent1[0]: (8672) {G13,W5,D2,L1,V1,M1} R(234,8289) { para( X, X, X, X )
% 3.87/4.24 }.
% 3.87/4.24 substitution0:
% 3.87/4.24 X := Y
% 3.87/4.24 Y := Z
% 3.87/4.24 Z := X
% 3.87/4.24 end
% 3.87/4.24 substitution1:
% 3.87/4.24 X := X
% 3.87/4.24 end
% 3.87/4.24
% 3.87/4.24 subsumption: (19798) {G17,W5,D2,L1,V2,M1} R(19791,72);r(8672) { para( Y, Z
% 3.87/4.24 , Z, Y ) }.
% 3.87/4.24 parent0: (25157) {G2,W5,D2,L1,V2,M1} { para( Y, Z, Z, Y ) }.
% 3.87/4.24 substitution0:
% 3.87/4.24 X := T
% 3.87/4.24 Y := Y
% 3.87/4.24 Z := Z
% 3.87/4.24 end
% 3.87/4.24 permutation0:
% 3.87/4.24 0 ==> 0
% 3.87/4.24 end
% 3.87/4.24
% 3.87/4.24 resolution: (25158) {G3,W5,D2,L1,V2,M1} { para( Y, X, Y, X ) }.
% 3.87/4.24 parent0[0]: (235) {G2,W10,D2,L2,V4,M2} F(229) { ! para( X, Y, Z, T ), para
% 3.87/4.24 ( Z, T, Z, T ) }.
% 3.87/4.24 parent1[0]: (19798) {G17,W5,D2,L1,V2,M1} R(19791,72);r(8672) { para( Y, Z,
% 3.87/4.24 Z, Y ) }.
% 3.87/4.24 substitution0:
% 3.87/4.24 X := X
% 3.87/4.24 Y := Y
% 3.87/4.24 Z := Y
% 3.87/4.24 T := X
% 3.87/4.24 end
% 3.87/4.24 substitution1:
% 3.87/4.24 X := Z
% 3.87/4.24 Y := X
% 3.87/4.24 Z := Y
% 3.87/4.24 end
% 3.87/4.24
% 3.87/4.24 subsumption: (19799) {G18,W5,D2,L1,V2,M1} R(19798,235) { para( X, Y, X, Y )
% 3.87/4.24 }.
% 3.87/4.24 parent0: (25158) {G3,W5,D2,L1,V2,M1} { para( Y, X, Y, X ) }.
% 3.87/4.24 substitution0:
% 3.87/4.24 X := Y
% 3.87/4.24 Y := X
% 3.87/4.24 end
% 3.87/4.24 permutation0:
% 3.87/4.24 0 ==> 0
% 3.87/4.24 end
% 3.87/4.24
% 3.87/4.24 resolution: (25159) {G5,W8,D3,L1,V2,M1} { perp( skol16( skol26, X, Y ),
% 3.87/4.24 skol26, X, Y ) }.
% 3.87/4.24 parent0[0]: (7163) {G4,W12,D3,L2,V2,M2} R(7157,110) { ! coll( skol25, X, Y
% 3.87/4.24 ), perp( skol16( skol26, X, Y ), skol26, X, Y ) }.
% 3.87/4.24 parent1[0]: (8209) {G17,W4,D2,L1,V3,M1} R(8196,2);r(8196) { coll( Z, Y, X )
% 3.87/4.24 }.
% 3.87/4.24 substitution0:
% 3.87/4.24 X := X
% 3.87/4.24 Y := Y
% 3.87/4.24 end
% 3.87/4.24 substitution1:
% 3.87/4.24 X := Y
% 3.87/4.24 Y := X
% 3.87/4.24 Z := skol25
% 3.87/4.24 end
% 3.87/4.24
% 3.87/4.24 subsumption: (20046) {G18,W8,D3,L1,V2,M1} S(7163);r(8209) { perp( skol16(
% 3.87/4.24 skol26, X, Y ), skol26, X, Y ) }.
% 3.87/4.24 parent0: (25159) {G5,W8,D3,L1,V2,M1} { perp( skol16( skol26, X, Y ),
% 3.87/4.24 skol26, X, Y ) }.
% 3.87/4.24 substitution0:
% 3.87/4.24 X := X
% 3.87/4.24 Y := Y
% 3.87/4.24 end
% 3.87/4.24 permutation0:
% 3.87/4.24 0 ==> 0
% 3.87/4.24 end
% 3.87/4.24
% 3.87/4.24 resolution: (25160) {G2,W10,D2,L2,V3,M2} { cyclic( Z, Y, X, X ), ! para( X
% 3.87/4.24 , Z, X, Z ) }.
% 3.87/4.24 parent0[0]: (784) {G1,W14,D2,L3,V3,M3} R(42,39) { ! coll( X, X, Y ), cyclic
% 3.87/4.24 ( Z, Y, X, X ), ! para( X, Z, X, Z ) }.
% 3.87/4.24 parent1[0]: (8209) {G17,W4,D2,L1,V3,M1} R(8196,2);r(8196) { coll( Z, Y, X )
% 3.87/4.24 }.
% 3.87/4.24 substitution0:
% 3.87/4.24 X := X
% 3.87/4.24 Y := Y
% 3.87/4.24 Z := Z
% 3.87/4.24 end
% 3.87/4.24 substitution1:
% 3.87/4.24 X := Y
% 3.87/4.24 Y := X
% 3.87/4.24 Z := X
% 3.87/4.24 end
% 3.87/4.24
% 3.87/4.24 resolution: (25161) {G3,W5,D2,L1,V3,M1} { cyclic( X, Y, Z, Z ) }.
% 3.87/4.24 parent0[1]: (25160) {G2,W10,D2,L2,V3,M2} { cyclic( Z, Y, X, X ), ! para( X
% 3.87/4.24 , Z, X, Z ) }.
% 3.87/4.24 parent1[0]: (19799) {G18,W5,D2,L1,V2,M1} R(19798,235) { para( X, Y, X, Y )
% 3.87/4.24 }.
% 3.87/4.24 substitution0:
% 3.87/4.24 X := Z
% 3.87/4.24 Y := Y
% 3.87/4.24 Z := X
% 3.87/4.24 end
% 3.87/4.24 substitution1:
% 3.87/4.24 X := Z
% 3.87/4.24 Y := X
% 3.87/4.24 end
% 3.87/4.24
% 3.87/4.24 subsumption: (20127) {G19,W5,D2,L1,V3,M1} S(784);r(8209);r(19799) { cyclic
% 3.87/4.24 ( Z, Y, X, X ) }.
% 3.87/4.24 parent0: (25161) {G3,W5,D2,L1,V3,M1} { cyclic( X, Y, Z, Z ) }.
% 3.87/4.24 substitution0:
% 3.87/4.24 X := Z
% 3.87/4.24 Y := Y
% 3.87/4.24 Z := X
% 3.87/4.24 end
% 3.87/4.24 permutation0:
% 3.87/4.24 0 ==> 0
% 3.87/4.24 end
% 3.87/4.24
% 3.87/4.24 resolution: (25162) {G2,W5,D2,L1,V3,M1} { cyclic( Y, Z, X, Z ) }.
% 3.87/4.24 parent0[0]: (367) {G1,W10,D2,L2,V4,M2} R(15,14) { ! cyclic( X, Y, Z, T ),
% 3.87/4.24 cyclic( Y, Z, X, T ) }.
% 3.87/4.24 parent1[0]: (20127) {G19,W5,D2,L1,V3,M1} S(784);r(8209);r(19799) { cyclic(
% 3.87/4.24 Z, Y, X, X ) }.
% 3.87/4.24 substitution0:
% 3.87/4.24 X := X
% 3.87/4.24 Y := Y
% 3.87/4.24 Z := Z
% 3.87/4.24 T := Z
% 3.87/4.24 end
% 3.87/4.24 substitution1:
% 3.87/4.24 X := Z
% 3.87/4.24 Y := Y
% 3.87/4.24 Z := X
% 3.87/4.24 end
% 3.87/4.24
% 3.87/4.24 subsumption: (20146) {G20,W5,D2,L1,V3,M1} R(20127,367) { cyclic( X, Y, Z, Y
% 3.87/4.24 ) }.
% 3.87/4.24 parent0: (25162) {G2,W5,D2,L1,V3,M1} { cyclic( Y, Z, X, Z ) }.
% 3.87/4.24 substitution0:
% 3.87/4.24 X := Z
% 3.87/4.24 Y := X
% 3.87/4.24 Z := Y
% 3.87/4.24 end
% 3.87/4.24 permutation0:
% 3.87/4.24 0 ==> 0
% 3.87/4.24 end
% 3.87/4.24
% 3.87/4.24 resolution: (25163) {G2,W5,D2,L1,V3,M1} { cyclic( X, Z, Z, Y ) }.
% 3.87/4.24 parent0[0]: (356) {G1,W10,D2,L2,V4,M2} R(14,13) { ! cyclic( X, Y, Z, T ),
% 3.87/4.24 cyclic( X, Z, T, Y ) }.
% 3.87/4.24 parent1[0]: (20127) {G19,W5,D2,L1,V3,M1} S(784);r(8209);r(19799) { cyclic(
% 3.87/4.24 Z, Y, X, X ) }.
% 3.87/4.24 substitution0:
% 3.87/4.24 X := X
% 3.87/4.24 Y := Y
% 3.87/4.24 Z := Z
% 3.87/4.24 T := Z
% 3.87/4.24 end
% 3.87/4.24 substitution1:
% 3.87/4.24 X := Z
% 3.87/4.24 Y := Y
% 3.87/4.24 Z := X
% 3.87/4.24 end
% 3.87/4.24
% 3.87/4.24 subsumption: (20148) {G20,W5,D2,L1,V3,M1} R(20127,356) { cyclic( X, Y, Y, Z
% 3.87/4.24 ) }.
% 3.87/4.24 parent0: (25163) {G2,W5,D2,L1,V3,M1} { cyclic( X, Z, Z, Y ) }.
% 3.87/4.24 substitution0:
% 3.87/4.24 X := X
% 3.87/4.24 Y := Z
% 3.87/4.24 Z := Y
% 3.87/4.24 end
% 3.87/4.24 permutation0:
% 3.87/4.24 0 ==> 0
% 3.87/4.24 end
% 3.87/4.24
% 3.87/4.24 resolution: (25165) {G2,W10,D2,L2,V4,M2} { ! cyclic( X, Y, Y, Z ), cyclic
% 3.87/4.24 ( Y, Y, Z, T ) }.
% 3.87/4.24 parent0[2]: (390) {G1,W15,D2,L3,V5,M3} R(16,13) { ! cyclic( X, Y, Z, T ),
% 3.87/4.24 cyclic( Y, Z, T, U ), ! cyclic( X, Y, U, Z ) }.
% 3.87/4.24 parent1[0]: (20146) {G20,W5,D2,L1,V3,M1} R(20127,367) { cyclic( X, Y, Z, Y
% 3.87/4.24 ) }.
% 3.87/4.24 substitution0:
% 3.87/4.24 X := X
% 3.87/4.24 Y := Y
% 3.87/4.24 Z := Y
% 3.87/4.24 T := Z
% 3.87/4.24 U := T
% 3.87/4.24 end
% 3.87/4.24 substitution1:
% 3.87/4.24 X := X
% 3.87/4.24 Y := Y
% 3.87/4.24 Z := T
% 3.87/4.24 end
% 3.87/4.24
% 3.87/4.24 resolution: (25166) {G3,W5,D2,L1,V3,M1} { cyclic( Y, Y, Z, T ) }.
% 3.87/4.24 parent0[0]: (25165) {G2,W10,D2,L2,V4,M2} { ! cyclic( X, Y, Y, Z ), cyclic
% 3.87/4.24 ( Y, Y, Z, T ) }.
% 3.87/4.24 parent1[0]: (20148) {G20,W5,D2,L1,V3,M1} R(20127,356) { cyclic( X, Y, Y, Z
% 3.87/4.24 ) }.
% 3.87/4.24 substitution0:
% 3.87/4.24 X := X
% 3.87/4.24 Y := Y
% 3.87/4.24 Z := Z
% 3.87/4.24 T := T
% 3.87/4.24 end
% 3.87/4.24 substitution1:
% 3.87/4.24 X := X
% 3.87/4.24 Y := Y
% 3.87/4.24 Z := Z
% 3.87/4.24 end
% 3.87/4.24
% 3.87/4.24 subsumption: (20153) {G21,W5,D2,L1,V3,M1} R(20146,390);r(20148) { cyclic( Y
% 3.87/4.24 , Y, Z, T ) }.
% 3.87/4.24 parent0: (25166) {G3,W5,D2,L1,V3,M1} { cyclic( Y, Y, Z, T ) }.
% 3.87/4.24 substitution0:
% 3.87/4.24 X := U
% 3.87/4.24 Y := Y
% 3.87/4.24 Z := Z
% 3.87/4.24 T := T
% 3.87/4.24 end
% 3.87/4.24 permutation0:
% 3.87/4.24 0 ==> 0
% 3.87/4.24 end
% 3.87/4.24
% 3.87/4.24 resolution: (25167) {G2,W10,D2,L2,V4,M2} { cyclic( X, Y, Z, T ), ! cyclic
% 3.87/4.24 ( X, X, T, Y ) }.
% 3.87/4.24 parent0[0]: (390) {G1,W15,D2,L3,V5,M3} R(16,13) { ! cyclic( X, Y, Z, T ),
% 3.87/4.24 cyclic( Y, Z, T, U ), ! cyclic( X, Y, U, Z ) }.
% 3.87/4.24 parent1[0]: (20153) {G21,W5,D2,L1,V3,M1} R(20146,390);r(20148) { cyclic( Y
% 3.87/4.24 , Y, Z, T ) }.
% 3.87/4.24 substitution0:
% 3.87/4.24 X := X
% 3.87/4.24 Y := X
% 3.87/4.24 Z := Y
% 3.87/4.24 T := Z
% 3.87/4.24 U := T
% 3.87/4.24 end
% 3.87/4.24 substitution1:
% 3.87/4.24 X := U
% 3.87/4.24 Y := X
% 3.87/4.24 Z := Y
% 3.87/4.24 T := Z
% 3.87/4.24 end
% 3.87/4.24
% 3.87/4.24 resolution: (25169) {G3,W5,D2,L1,V4,M1} { cyclic( X, Y, Z, T ) }.
% 3.87/4.24 parent0[1]: (25167) {G2,W10,D2,L2,V4,M2} { cyclic( X, Y, Z, T ), ! cyclic
% 3.87/4.24 ( X, X, T, Y ) }.
% 3.87/4.24 parent1[0]: (20153) {G21,W5,D2,L1,V3,M1} R(20146,390);r(20148) { cyclic( Y
% 3.87/4.24 , Y, Z, T ) }.
% 3.87/4.24 substitution0:
% 3.87/4.24 X := X
% 3.87/4.24 Y := Y
% 3.87/4.24 Z := Z
% 3.87/4.24 T := T
% 3.87/4.24 end
% 3.87/4.24 substitution1:
% 3.87/4.24 X := U
% 3.87/4.24 Y := X
% 3.87/4.24 Z := T
% 3.87/4.24 T := Y
% 3.87/4.24 end
% 3.87/4.24
% 3.87/4.24 subsumption: (20161) {G22,W5,D2,L1,V4,M1} R(20153,390);r(20153) { cyclic( X
% 3.87/4.24 , Y, Z, T ) }.
% 3.87/4.24 parent0: (25169) {G3,W5,D2,L1,V4,M1} { cyclic( X, Y, Z, T ) }.
% 3.87/4.24 substitution0:
% 3.87/4.24 X := X
% 3.87/4.24 Y := Y
% 3.87/4.24 Z := Z
% 3.87/4.24 T := T
% 3.87/4.24 end
% 3.87/4.24 permutation0:
% 3.87/4.24 0 ==> 0
% 3.87/4.24 end
% 3.87/4.24
% 3.87/4.24 resolution: (25170) {G2,W8,D3,L1,V2,M1} { perp( X, Y, skol26, skol16(
% 3.87/4.24 skol26, X, Y ) ) }.
% 3.87/4.24 parent0[0]: (275) {G1,W10,D2,L2,V4,M2} R(7,6) { ! perp( X, Y, Z, T ), perp
% 3.87/4.24 ( Z, T, Y, X ) }.
% 3.87/4.24 parent1[0]: (20046) {G18,W8,D3,L1,V2,M1} S(7163);r(8209) { perp( skol16(
% 3.87/4.24 skol26, X, Y ), skol26, X, Y ) }.
% 3.87/4.24 substitution0:
% 3.87/4.24 X := skol16( skol26, X, Y )
% 3.87/4.24 Y := skol26
% 3.87/4.24 Z := X
% 3.87/4.24 T := Y
% 3.87/4.24 end
% 3.87/4.24 substitution1:
% 3.87/4.24 X := X
% 3.87/4.24 Y := Y
% 3.87/4.24 end
% 3.87/4.24
% 3.87/4.24 subsumption: (23005) {G19,W8,D3,L1,V2,M1} R(20046,275) { perp( X, Y, skol26
% 3.87/4.24 , skol16( skol26, X, Y ) ) }.
% 3.87/4.24 parent0: (25170) {G2,W8,D3,L1,V2,M1} { perp( X, Y, skol26, skol16( skol26
% 3.87/4.24 , X, Y ) ) }.
% 3.87/4.24 substitution0:
% 3.87/4.24 X := X
% 3.87/4.24 Y := Y
% 3.87/4.24 end
% 3.87/4.24 permutation0:
% 3.87/4.24 0 ==> 0
% 3.87/4.24 end
% 3.87/4.24
% 3.87/4.24 resolution: (25171) {G2,W8,D3,L1,V2,M1} { perp( skol26, skol16( skol26, X
% 3.87/4.24 , Y ), Y, X ) }.
% 3.87/4.24 parent0[0]: (275) {G1,W10,D2,L2,V4,M2} R(7,6) { ! perp( X, Y, Z, T ), perp
% 3.87/4.24 ( Z, T, Y, X ) }.
% 3.87/4.24 parent1[0]: (23005) {G19,W8,D3,L1,V2,M1} R(20046,275) { perp( X, Y, skol26
% 3.87/4.24 , skol16( skol26, X, Y ) ) }.
% 3.87/4.24 substitution0:
% 3.87/4.24 X := X
% 3.87/4.24 Y := Y
% 3.87/4.24 Z := skol26
% 3.87/4.24 T := skol16( skol26, X, Y )
% 3.87/4.24 end
% 3.87/4.24 substitution1:
% 3.87/4.24 X := X
% 3.87/4.24 Y := Y
% 3.87/4.24 end
% 3.87/4.24
% 3.87/4.24 subsumption: (23041) {G20,W8,D3,L1,V2,M1} R(23005,275) { perp( skol26,
% 3.87/4.24 skol16( skol26, X, Y ), Y, X ) }.
% 3.87/4.24 parent0: (25171) {G2,W8,D3,L1,V2,M1} { perp( skol26, skol16( skol26, X, Y
% 3.87/4.24 ), Y, X ) }.
% 3.87/4.24 substitution0:
% 3.87/4.24 X := X
% 3.87/4.24 Y := Y
% 3.87/4.24 end
% 3.87/4.24 permutation0:
% 3.87/4.24 0 ==> 0
% 3.87/4.24 end
% 3.87/4.24
% 3.87/4.24 resolution: (25172) {G3,W8,D3,L1,V0,M1} { ! para( skol22, skol23, skol26,
% 3.87/4.24 skol16( skol26, skol22, skol20 ) ) }.
% 3.87/4.24 parent0[1]: (497) {G2,W10,D2,L2,V2,M2} R(278,9) { ! para( skol22, skol23, X
% 3.87/4.24 , Y ), ! perp( X, Y, skol20, skol22 ) }.
% 3.87/4.24 parent1[0]: (23041) {G20,W8,D3,L1,V2,M1} R(23005,275) { perp( skol26,
% 3.87/4.24 skol16( skol26, X, Y ), Y, X ) }.
% 3.87/4.24 substitution0:
% 3.87/4.24 X := skol26
% 3.87/4.24 Y := skol16( skol26, skol22, skol20 )
% 3.87/4.24 end
% 3.87/4.24 substitution1:
% 3.87/4.24 X := skol22
% 3.87/4.24 Y := skol20
% 3.87/4.24 end
% 3.87/4.24
% 3.87/4.24 subsumption: (23058) {G21,W8,D3,L1,V0,M1} R(23041,497) { ! para( skol22,
% 3.87/4.24 skol23, skol26, skol16( skol26, skol22, skol20 ) ) }.
% 3.87/4.24 parent0: (25172) {G3,W8,D3,L1,V0,M1} { ! para( skol22, skol23, skol26,
% 3.87/4.24 skol16( skol26, skol22, skol20 ) ) }.
% 3.87/4.24 substitution0:
% 3.87/4.24 end
% 3.87/4.24 permutation0:
% 3.87/4.24 0 ==> 0
% 3.87/4.24 end
% 3.87/4.24
% 3.87/4.24 resolution: (25175) {G3,W10,D2,L2,V3,M2} { ! cyclic( X, Y, Z, Y ), cong( X
% 3.87/4.24 , Y, X, Y ) }.
% 3.87/4.24 parent0[0]: (940) {G2,W15,D2,L3,V3,M3} F(908) { ! cyclic( X, Y, Z, X ), !
% 3.87/4.24 cyclic( X, Y, Z, Y ), cong( X, Y, X, Y ) }.
% 3.87/4.24 parent1[0]: (20161) {G22,W5,D2,L1,V4,M1} R(20153,390);r(20153) { cyclic( X
% 3.87/4.24 , Y, Z, T ) }.
% 3.87/4.24 substitution0:
% 3.87/4.24 X := X
% 3.87/4.24 Y := Y
% 3.87/4.24 Z := Z
% 3.87/4.24 end
% 3.87/4.24 substitution1:
% 3.87/4.24 X := X
% 3.87/4.24 Y := Y
% 3.87/4.24 Z := Z
% 3.87/4.24 T := X
% 3.87/4.24 end
% 3.87/4.24
% 3.87/4.24 resolution: (25177) {G4,W5,D2,L1,V2,M1} { cong( X, Y, X, Y ) }.
% 3.87/4.24 parent0[0]: (25175) {G3,W10,D2,L2,V3,M2} { ! cyclic( X, Y, Z, Y ), cong( X
% 3.87/4.24 , Y, X, Y ) }.
% 3.87/4.24 parent1[0]: (20161) {G22,W5,D2,L1,V4,M1} R(20153,390);r(20153) { cyclic( X
% 3.87/4.24 , Y, Z, T ) }.
% 3.87/4.24 substitution0:
% 3.87/4.24 X := X
% 3.87/4.24 Y := Y
% 3.87/4.24 Z := Z
% 3.87/4.24 end
% 3.87/4.24 substitution1:
% 3.87/4.24 X := X
% 3.87/4.24 Y := Y
% 3.87/4.24 Z := Z
% 3.87/4.24 T := Y
% 3.87/4.24 end
% 3.87/4.24
% 3.87/4.24 subsumption: (24381) {G23,W5,D2,L1,V2,M1} S(940);r(20161);r(20161) { cong(
% 3.87/4.24 X, Y, X, Y ) }.
% 3.87/4.24 parent0: (25177) {G4,W5,D2,L1,V2,M1} { cong( X, Y, X, Y ) }.
% 3.87/4.24 substitution0:
% 3.87/4.24 X := X
% 3.87/4.24 Y := Y
% 3.87/4.24 end
% 3.87/4.24 permutation0:
% 3.87/4.24 0 ==> 0
% 3.87/4.24 end
% 3.87/4.24
% 3.87/4.24 resolution: (25178) {G1,W10,D2,L2,V3,M2} { ! cong( X, Z, X, Z ), perp( X,
% 3.87/4.24 X, Y, Z ) }.
% 3.87/4.24 parent0[0]: (56) {G0,W15,D2,L3,V4,M3} I { ! cong( X, Z, Y, Z ), ! cong( X,
% 3.87/4.24 T, Y, T ), perp( X, Y, Z, T ) }.
% 3.87/4.24 parent1[0]: (24381) {G23,W5,D2,L1,V2,M1} S(940);r(20161);r(20161) { cong( X
% 3.87/4.24 , Y, X, Y ) }.
% 3.87/4.24 substitution0:
% 3.87/4.24 X := X
% 3.87/4.24 Y := X
% 3.87/4.24 Z := Y
% 3.87/4.24 T := Z
% 3.87/4.24 end
% 3.87/4.24 substitution1:
% 3.87/4.24 X := X
% 3.87/4.24 Y := Y
% 3.87/4.24 end
% 3.87/4.24
% 3.87/4.24 resolution: (25180) {G2,W5,D2,L1,V3,M1} { perp( X, X, Z, Y ) }.
% 3.87/4.24 parent0[0]: (25178) {G1,W10,D2,L2,V3,M2} { ! cong( X, Z, X, Z ), perp( X,
% 3.87/4.24 X, Y, Z ) }.
% 3.87/4.24 parent1[0]: (24381) {G23,W5,D2,L1,V2,M1} S(940);r(20161);r(20161) { cong( X
% 3.87/4.24 , Y, X, Y ) }.
% 3.87/4.24 substitution0:
% 3.87/4.24 X := X
% 3.87/4.24 Y := Z
% 3.87/4.24 Z := Y
% 3.87/4.24 end
% 3.87/4.24 substitution1:
% 3.87/4.24 X := X
% 3.87/4.24 Y := Y
% 3.87/4.24 end
% 3.87/4.24
% 3.87/4.24 subsumption: (24392) {G24,W5,D2,L1,V3,M1} R(24381,56);r(24381) { perp( X, X
% 3.87/4.24 , Z, Y ) }.
% 3.87/4.24 parent0: (25180) {G2,W5,D2,L1,V3,M1} { perp( X, X, Z, Y ) }.
% 3.87/4.24 substitution0:
% 3.87/4.24 X := X
% 3.87/4.24 Y := Y
% 3.87/4.24 Z := Z
% 3.87/4.24 end
% 3.87/4.24 permutation0:
% 3.87/4.24 0 ==> 0
% 3.87/4.24 end
% 3.87/4.24
% 3.87/4.24 resolution: (25181) {G2,W10,D2,L2,V5,M2} { para( T, U, Y, Z ), ! perp( X,
% 3.87/4.24 X, T, U ) }.
% 3.87/4.24 parent0[0]: (286) {G1,W15,D2,L3,V6,M3} R(8,7) { ! perp( X, Y, Z, T ), para
% 3.87/4.24 ( U, W, Z, T ), ! perp( X, Y, U, W ) }.
% 3.87/4.24 parent1[0]: (24392) {G24,W5,D2,L1,V3,M1} R(24381,56);r(24381) { perp( X, X
% 3.87/4.24 , Z, Y ) }.
% 3.87/4.24 substitution0:
% 3.87/4.24 X := X
% 3.87/4.24 Y := X
% 3.87/4.24 Z := Y
% 3.87/4.24 T := Z
% 3.87/4.24 U := T
% 3.87/4.24 W := U
% 3.87/4.24 end
% 3.87/4.24 substitution1:
% 3.87/4.24 X := X
% 3.87/4.24 Y := Z
% 3.87/4.24 Z := Y
% 3.87/4.24 end
% 3.87/4.24
% 3.87/4.24 resolution: (25183) {G3,W5,D2,L1,V4,M1} { para( X, Y, Z, T ) }.
% 3.87/4.24 parent0[1]: (25181) {G2,W10,D2,L2,V5,M2} { para( T, U, Y, Z ), ! perp( X,
% 3.87/4.24 X, T, U ) }.
% 3.87/4.24 parent1[0]: (24392) {G24,W5,D2,L1,V3,M1} R(24381,56);r(24381) { perp( X, X
% 3.87/4.24 , Z, Y ) }.
% 3.87/4.24 substitution0:
% 3.87/4.24 X := U
% 3.87/4.24 Y := Z
% 3.87/4.24 Z := T
% 3.87/4.24 T := X
% 3.87/4.24 U := Y
% 3.87/4.24 end
% 3.87/4.24 substitution1:
% 3.87/4.24 X := U
% 3.87/4.24 Y := Y
% 3.87/4.24 Z := X
% 3.87/4.24 end
% 3.87/4.24
% 3.87/4.24 subsumption: (24429) {G25,W5,D2,L1,V4,M1} R(24392,286);r(24392) { para( X,
% 3.87/4.24 Y, Z, T ) }.
% 3.87/4.24 parent0: (25183) {G3,W5,D2,L1,V4,M1} { para( X, Y, Z, T ) }.
% 3.87/4.24 substitution0:
% 3.87/4.24 X := X
% 3.87/4.24 Y := Y
% 3.87/4.24 Z := Z
% 3.87/4.24 T := T
% 3.87/4.24 end
% 3.87/4.24 permutation0:
% 3.87/4.24 0 ==> 0
% 3.87/4.24 end
% 3.87/4.24
% 3.87/4.24 resolution: (25184) {G22,W0,D0,L0,V0,M0} { }.
% 3.87/4.24 parent0[0]: (23058) {G21,W8,D3,L1,V0,M1} R(23041,497) { ! para( skol22,
% 3.87/4.24 skol23, skol26, skol16( skol26, skol22, skol20 ) ) }.
% 3.87/4.24 parent1[0]: (24429) {G25,W5,D2,L1,V4,M1} R(24392,286);r(24392) { para( X, Y
% 3.87/4.24 , Z, T ) }.
% 3.87/4.24 substitution0:
% 3.87/4.24 end
% 3.87/4.24 substitution1:
% 3.87/4.24 X := skol22
% 3.87/4.24 Y := skol23
% 3.87/4.24 Z := skol26
% 3.87/4.24 T := skol16( skol26, skol22, skol20 )
% 3.87/4.24 end
% 3.87/4.24
% 3.87/4.24 subsumption: (24441) {G26,W0,D0,L0,V0,M0} R(24429,23058) { }.
% 3.87/4.24 parent0: (25184) {G22,W0,D0,L0,V0,M0} { }.
% 3.87/4.24 substitution0:
% 3.87/4.24 end
% 3.87/4.24 permutation0:
% 3.87/4.24 end
% 3.87/4.24
% 3.87/4.24 Proof check complete!
% 3.87/4.24
% 3.87/4.24 Memory use:
% 3.87/4.24
% 3.87/4.24 space for terms: 388049
% 3.87/4.24 space for clauses: 1275305
% 3.87/4.24
% 3.87/4.24
% 3.87/4.24 clauses generated: 136230
% 3.87/4.24 clauses kept: 24442
% 3.87/4.24 clauses selected: 2177
% 3.87/4.24 clauses deleted: 7628
% 3.87/4.24 clauses inuse deleted: 759
% 3.87/4.24
% 3.87/4.24 subsentry: 1978705
% 3.87/4.24 literals s-matched: 1323852
% 3.87/4.24 literals matched: 734554
% 3.87/4.24 full subsumption: 303926
% 3.87/4.24
% 3.87/4.24 checksum: 1818980534
% 3.87/4.24
% 3.87/4.24
% 3.87/4.24 Bliksem ended
%------------------------------------------------------------------------------