TSTP Solution File: GEO613+1 by Bliksem---1.12
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- Process Solution
%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : GEO613+1 : TPTP v8.1.0. Released v7.5.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n016.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 0s
% DateTime : Sat Jul 16 02:55:06 EDT 2022
% Result : Theorem 2.65s 3.05s
% Output : Refutation 2.65s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.14 % Problem : GEO613+1 : TPTP v8.1.0. Released v7.5.0.
% 0.07/0.15 % Command : bliksem %s
% 0.14/0.36 % Computer : n016.cluster.edu
% 0.14/0.36 % Model : x86_64 x86_64
% 0.14/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36 % Memory : 8042.1875MB
% 0.14/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36 % CPULimit : 300
% 0.14/0.36 % DateTime : Fri Jun 17 23:09:36 EDT 2022
% 0.14/0.36 % CPUTime :
% 0.83/1.22 *** allocated 10000 integers for termspace/termends
% 0.83/1.22 *** allocated 10000 integers for clauses
% 0.83/1.22 *** allocated 10000 integers for justifications
% 0.83/1.22 Bliksem 1.12
% 0.83/1.22
% 0.83/1.22
% 0.83/1.22 Automatic Strategy Selection
% 0.83/1.22
% 0.83/1.22 *** allocated 15000 integers for termspace/termends
% 0.83/1.22
% 0.83/1.22 Clauses:
% 0.83/1.22
% 0.83/1.22 { ! coll( X, Y, Z ), coll( X, Z, Y ) }.
% 0.83/1.22 { ! coll( X, Y, Z ), coll( Y, X, Z ) }.
% 0.83/1.22 { ! coll( X, T, Y ), ! coll( X, T, Z ), coll( Y, Z, X ) }.
% 0.83/1.22 { ! para( X, Y, Z, T ), para( X, Y, T, Z ) }.
% 0.83/1.22 { ! para( X, Y, Z, T ), para( Z, T, X, Y ) }.
% 0.83/1.22 { ! para( X, Y, U, W ), ! para( U, W, Z, T ), para( X, Y, Z, T ) }.
% 0.83/1.22 { ! perp( X, Y, Z, T ), perp( X, Y, T, Z ) }.
% 0.83/1.22 { ! perp( X, Y, Z, T ), perp( Z, T, X, Y ) }.
% 0.83/1.22 { ! perp( X, Y, U, W ), ! perp( U, W, Z, T ), para( X, Y, Z, T ) }.
% 0.83/1.22 { ! para( X, Y, U, W ), ! perp( U, W, Z, T ), perp( X, Y, Z, T ) }.
% 0.83/1.22 { ! midp( Z, Y, X ), midp( Z, X, Y ) }.
% 0.83/1.22 { ! cong( T, X, T, Y ), ! cong( T, X, T, Z ), circle( T, X, Y, Z ) }.
% 0.83/1.22 { ! cong( U, X, U, Y ), ! cong( U, X, U, Z ), ! cong( U, X, U, T ), cyclic
% 0.83/1.22 ( X, Y, Z, T ) }.
% 0.83/1.22 { ! cyclic( X, Y, Z, T ), cyclic( X, Y, T, Z ) }.
% 0.83/1.22 { ! cyclic( X, Y, Z, T ), cyclic( X, Z, Y, T ) }.
% 0.83/1.22 { ! cyclic( X, Y, Z, T ), cyclic( Y, X, Z, T ) }.
% 0.83/1.22 { ! cyclic( U, X, Y, Z ), ! cyclic( U, X, Y, T ), cyclic( X, Y, Z, T ) }.
% 0.83/1.22 { ! eqangle( X, Y, Z, T, U, W, V0, V1 ), eqangle( Y, X, Z, T, U, W, V0, V1
% 0.83/1.22 ) }.
% 0.83/1.22 { ! eqangle( X, Y, Z, T, U, W, V0, V1 ), eqangle( Z, T, X, Y, V0, V1, U, W
% 0.83/1.22 ) }.
% 0.83/1.22 { ! eqangle( X, Y, Z, T, U, W, V0, V1 ), eqangle( U, W, V0, V1, X, Y, Z, T
% 0.83/1.22 ) }.
% 0.83/1.22 { ! eqangle( X, Y, Z, T, U, W, V0, V1 ), eqangle( X, Y, U, W, Z, T, V0, V1
% 0.83/1.22 ) }.
% 0.83/1.22 { ! eqangle( X, Y, Z, T, V2, V3, V4, V5 ), ! eqangle( V2, V3, V4, V5, U, W
% 0.83/1.22 , V0, V1 ), eqangle( X, Y, Z, T, U, W, V0, V1 ) }.
% 0.83/1.22 { ! cong( X, Y, Z, T ), cong( X, Y, T, Z ) }.
% 0.83/1.22 { ! cong( X, Y, Z, T ), cong( Z, T, X, Y ) }.
% 0.83/1.22 { ! cong( X, Y, U, W ), ! cong( U, W, Z, T ), cong( X, Y, Z, T ) }.
% 0.83/1.22 { ! eqratio( X, Y, Z, T, U, W, V0, V1 ), eqratio( Y, X, Z, T, U, W, V0, V1
% 0.83/1.22 ) }.
% 0.83/1.22 { ! eqratio( X, Y, Z, T, U, W, V0, V1 ), eqratio( Z, T, X, Y, V0, V1, U, W
% 0.83/1.22 ) }.
% 0.83/1.22 { ! eqratio( X, Y, Z, T, U, W, V0, V1 ), eqratio( U, W, V0, V1, X, Y, Z, T
% 0.83/1.22 ) }.
% 0.83/1.22 { ! eqratio( X, Y, Z, T, U, W, V0, V1 ), eqratio( X, Y, U, W, Z, T, V0, V1
% 0.83/1.22 ) }.
% 0.83/1.22 { ! eqratio( X, Y, Z, T, V2, V3, V4, V5 ), ! eqratio( V2, V3, V4, V5, U, W
% 0.83/1.22 , V0, V1 ), eqratio( X, Y, Z, T, U, W, V0, V1 ) }.
% 0.83/1.22 { ! simtri( X, Z, Y, T, W, U ), simtri( X, Y, Z, T, U, W ) }.
% 0.83/1.22 { ! simtri( Y, X, Z, U, T, W ), simtri( X, Y, Z, T, U, W ) }.
% 0.83/1.22 { ! simtri( T, U, W, X, Y, Z ), simtri( X, Y, Z, T, U, W ) }.
% 0.83/1.22 { ! simtri( X, Y, Z, V0, V1, V2 ), ! simtri( V0, V1, V2, T, U, W ), simtri
% 0.83/1.22 ( X, Y, Z, T, U, W ) }.
% 0.83/1.22 { ! contri( X, Z, Y, T, W, U ), contri( X, Y, Z, T, U, W ) }.
% 0.83/1.22 { ! contri( Y, X, Z, U, T, W ), contri( X, Y, Z, T, U, W ) }.
% 0.83/1.22 { ! contri( T, U, W, X, Y, Z ), contri( X, Y, Z, T, U, W ) }.
% 0.83/1.22 { ! contri( X, Y, Z, V0, V1, V2 ), ! contri( V0, V1, V2, T, U, W ), contri
% 0.83/1.22 ( X, Y, Z, T, U, W ) }.
% 0.83/1.22 { ! eqangle( X, Y, U, W, Z, T, U, W ), para( X, Y, Z, T ) }.
% 0.83/1.22 { ! para( X, Y, Z, T ), eqangle( X, Y, U, W, Z, T, U, W ) }.
% 0.83/1.22 { ! cyclic( X, Y, Z, T ), eqangle( Z, X, Z, Y, T, X, T, Y ) }.
% 0.83/1.22 { ! eqangle( Z, X, Z, Y, T, X, T, Y ), coll( Z, T, X ), cyclic( X, Y, Z, T
% 0.83/1.22 ) }.
% 0.83/1.22 { ! eqangle( Z, X, Z, Y, T, X, T, Y ), ! coll( Z, T, Y ), cyclic( X, Y, Z,
% 0.83/1.22 T ) }.
% 0.83/1.22 { ! cyclic( X, Y, U, Z ), ! cyclic( X, Y, U, T ), ! cyclic( X, Y, U, W ), !
% 0.83/1.22 eqangle( U, X, U, Y, W, Z, W, T ), cong( X, Y, Z, T ) }.
% 0.83/1.22 { ! midp( Z, U, X ), ! midp( T, U, Y ), para( Z, T, X, Y ) }.
% 0.83/1.22 { ! midp( U, X, T ), ! para( U, Z, T, Y ), ! coll( Z, X, Y ), midp( Z, X, Y
% 0.83/1.22 ) }.
% 0.83/1.22 { ! cong( Z, X, Z, Y ), eqangle( Z, X, X, Y, X, Y, Z, Y ) }.
% 0.83/1.22 { ! eqangle( Z, X, X, Y, X, Y, Z, Y ), coll( Z, X, Y ), cong( Z, X, Z, Y )
% 0.83/1.22 }.
% 0.83/1.22 { ! circle( U, X, Y, Z ), ! perp( U, X, X, T ), eqangle( X, T, X, Y, Z, X,
% 0.83/1.22 Z, Y ) }.
% 0.83/1.22 { ! circle( Y, X, T, U ), ! eqangle( X, Z, X, T, U, X, U, T ), perp( Y, X,
% 0.83/1.22 X, Z ) }.
% 0.83/1.22 { ! circle( T, X, Y, Z ), ! midp( U, Y, Z ), eqangle( X, Y, X, Z, T, Y, T,
% 0.83/1.22 U ) }.
% 0.83/1.22 { ! circle( U, T, X, Y ), ! coll( Z, X, Y ), ! eqangle( T, X, T, Y, U, X, U
% 0.83/1.22 , Z ), midp( Z, X, Y ) }.
% 0.83/1.22 { ! perp( X, Y, Y, T ), ! midp( Z, X, T ), cong( X, Z, Y, Z ) }.
% 0.83/1.22 { ! circle( T, X, Y, Z ), ! coll( T, X, Z ), perp( X, Y, Y, Z ) }.
% 0.83/1.22 { ! cyclic( X, Y, Z, T ), ! para( X, Y, Z, T ), eqangle( X, T, Z, T, Z, T,
% 0.83/1.22 Z, Y ) }.
% 0.83/1.22 { ! midp( T, X, Y ), ! perp( Z, T, X, Y ), cong( Z, X, Z, Y ) }.
% 0.83/1.22 { ! cong( X, Z, Y, Z ), ! cong( X, T, Y, T ), perp( X, Y, Z, T ) }.
% 0.83/1.22 { ! cong( X, Y, T, Y ), ! cong( X, Z, T, Z ), ! cyclic( X, T, Y, Z ), perp
% 0.83/1.22 ( Y, X, X, Z ) }.
% 0.83/1.22 { ! eqangle( X, Y, Y, Z, T, U, U, W ), ! eqangle( X, Z, Y, Z, T, W, U, W )
% 0.83/1.22 , coll( X, Y, Z ), simtri( X, Y, Z, T, U, W ) }.
% 0.83/1.22 { ! simtri( X, Y, Z, T, U, W ), eqratio( X, Y, X, Z, T, U, T, W ) }.
% 0.83/1.22 { ! simtri( X, Y, Z, T, U, W ), eqangle( X, Y, Y, Z, T, U, U, W ) }.
% 0.83/1.22 { ! simtri( X, Y, Z, T, U, W ), ! cong( X, Y, T, U ), contri( X, Y, Z, T, U
% 0.83/1.22 , W ) }.
% 0.83/1.22 { ! contri( X, Y, U, Z, T, W ), cong( X, Y, Z, T ) }.
% 0.83/1.22 { ! midp( U, X, Y ), ! midp( U, Z, T ), para( X, Z, Y, T ) }.
% 0.83/1.22 { ! midp( Z, T, U ), ! para( T, X, U, Y ), ! para( T, Y, U, X ), midp( Z, X
% 0.83/1.22 , Y ) }.
% 0.83/1.22 { ! para( X, Y, Z, T ), ! coll( U, X, Z ), ! coll( U, Y, T ), eqratio( U, X
% 0.83/1.22 , X, Z, U, Y, Y, T ) }.
% 0.83/1.22 { ! para( X, Y, X, Z ), coll( X, Y, Z ) }.
% 0.83/1.22 { ! cong( X, Y, X, Z ), ! coll( X, Y, Z ), midp( X, Y, Z ) }.
% 0.83/1.22 { ! midp( X, Y, Z ), cong( X, Y, X, Z ) }.
% 0.83/1.22 { ! midp( X, Y, Z ), coll( X, Y, Z ) }.
% 0.83/1.22 { ! midp( U, X, Y ), ! midp( W, Z, T ), eqratio( U, X, X, Y, W, Z, Z, T ) }
% 0.83/1.22 .
% 0.83/1.22 { ! eqangle( X, Y, Z, T, Z, T, X, Y ), para( X, Y, Z, T ), perp( X, Y, Z, T
% 0.83/1.22 ) }.
% 0.83/1.22 { ! eqangle( X, Y, Z, T, Z, T, X, Y ), perp( X, Y, Z, T ), para( X, Y, Z, T
% 0.83/1.22 ) }.
% 0.83/1.22 { ! eqangle( X, Y, Z, T, U, W, V0, V1 ), ! para( U, W, V0, V1 ), para( X, Y
% 0.83/1.22 , Z, T ) }.
% 0.83/1.22 { ! eqangle( X, Y, Z, T, U, W, V0, V1 ), ! perp( U, W, V0, V1 ), perp( X, Y
% 0.83/1.22 , Z, T ) }.
% 0.83/1.22 { ! eqratio( X, Y, Z, T, U, W, V0, V1 ), ! cong( U, W, V0, V1 ), cong( X, Y
% 0.83/1.22 , Z, T ) }.
% 0.83/1.22 { ! perp( Z, Y, Y, X ), ! eqangle( T, Z, Y, Z, Y, Z, X, Z ), coll( skol1( U
% 0.83/1.22 , W, Z, T ), Z, T ) }.
% 0.83/1.22 { ! perp( Z, Y, Y, X ), ! eqangle( T, Z, Y, Z, Y, Z, X, Z ), coll( skol1( X
% 0.83/1.22 , Y, Z, T ), X, Y ) }.
% 0.83/1.22 { ! cong( Z, X, Z, Y ), ! eqangle( X, Z, Z, T, Z, T, Z, Y ), coll( skol2( U
% 0.83/1.22 , W, Z, T ), Z, T ) }.
% 0.83/1.22 { ! cong( Z, X, Z, Y ), ! eqangle( X, Z, Z, T, Z, T, Z, Y ), coll( Y, X,
% 0.83/1.22 skol2( X, Y, Z, T ) ) }.
% 0.83/1.22 { ! perp( Z, T, X, Y ), ! eqangle( X, Z, Z, T, Z, T, Z, Y ), coll( skol3( U
% 0.83/1.22 , W, Z, T ), Z, T ) }.
% 0.83/1.22 { ! perp( Z, T, X, Y ), ! eqangle( X, Z, Z, T, Z, T, Z, Y ), coll( Y, X,
% 0.83/1.22 skol3( X, Y, Z, T ) ) }.
% 0.83/1.22 { ! perp( Z, T, X, Y ), ! cong( Z, X, Z, Y ), coll( skol4( U, W, Z, T ), Z
% 0.83/1.22 , T ) }.
% 0.83/1.22 { ! perp( Z, T, X, Y ), ! cong( Z, X, Z, Y ), coll( Y, X, skol4( X, Y, Z, T
% 0.83/1.22 ) ) }.
% 0.83/1.22 { ! eqangle( X, Z, Y, Z, X, T, Y, U ), coll( X, Y, Z ), cyclic( T, Y, Z,
% 0.83/1.22 skol5( W, Y, Z, T ) ) }.
% 0.83/1.22 { ! eqangle( X, Z, Y, Z, X, T, Y, U ), coll( X, Y, Z ), eqangle( X, Z, Y, Z
% 0.83/1.22 , X, skol5( X, Y, Z, T ), Y, skol5( X, Y, Z, T ) ) }.
% 0.83/1.22 { ! midp( U, X, Y ), ! midp( W, Z, T ), midp( skol6( X, V0, V1, T, V2, V3 )
% 0.83/1.22 , X, T ) }.
% 0.83/1.22 { ! midp( U, X, Y ), ! midp( W, Z, T ), para( skol6( X, V0, Z, T, V1, W ),
% 0.83/1.22 W, X, Z ) }.
% 0.83/1.22 { ! midp( U, X, Y ), ! midp( W, Z, T ), para( skol6( X, Y, Z, T, U, W ), U
% 0.83/1.22 , Y, T ) }.
% 0.83/1.22 { ! midp( Z, X, Y ), ! midp( W, T, U ), ! coll( T, X, Y ), ! coll( U, X, Y
% 0.83/1.22 ), midp( skol7( X, V0 ), X, V0 ) }.
% 0.83/1.22 { ! midp( T, X, U ), ! para( X, W, Z, T ), ! para( X, W, U, Y ), ! coll( W
% 0.83/1.22 , Y, Z ), coll( skol8( V0, V1, Z, T ), T, Z ) }.
% 0.83/1.22 { ! midp( T, X, U ), ! para( X, W, Z, T ), ! para( X, W, U, Y ), ! coll( W
% 0.83/1.22 , Y, Z ), coll( skol8( X, Y, Z, T ), X, Y ) }.
% 0.83/1.22 { ! cong( T, Z, T, U ), ! perp( X, Y, Y, T ), cong( T, Z, T, skol9( W, V0,
% 0.83/1.22 Z, T ) ) }.
% 0.83/1.22 { ! cong( T, Z, T, U ), ! perp( X, Y, Y, T ), cong( Y, Z, Y, skol9( W, Y, Z
% 0.83/1.22 , T ) ) }.
% 0.83/1.22 { ! cong( T, Z, T, U ), ! perp( X, Y, Y, T ), para( skol9( X, Y, Z, T ), Z
% 0.83/1.22 , X, Y ) }.
% 0.83/1.22 { ! perp( X, T, Y, Z ), ! perp( Y, T, X, Z ), coll( skol10( U, Y, Z ), Z, Y
% 0.83/1.22 ) }.
% 0.83/1.22 { ! perp( X, T, Y, Z ), ! perp( Y, T, X, Z ), perp( X, skol10( X, Y, Z ), Z
% 0.83/1.22 , Y ) }.
% 0.83/1.22 { ! perp( X, T, Y, Z ), ! perp( Y, T, X, Z ), alpha1( X, Y, Z ) }.
% 0.83/1.22 { ! alpha1( X, Y, Z ), coll( skol11( X, T, Z ), Z, X ) }.
% 0.83/1.22 { ! alpha1( X, Y, Z ), perp( Y, skol11( X, Y, Z ), Z, X ) }.
% 0.83/1.22 { ! coll( T, Z, X ), ! perp( Y, T, Z, X ), alpha1( X, Y, Z ) }.
% 0.83/1.22 { ! circle( Y, X, Z, T ), perp( skol12( X, Y ), X, X, Y ) }.
% 2.65/3.05 { ! circle( W, X, Y, Z ), ! cong( W, X, W, T ), ! cong( U, X, U, Y ), W = U
% 2.65/3.05 , alpha2( X, Z, U, skol13( X, V0, Z, V1, U ) ) }.
% 2.65/3.05 { ! circle( W, X, Y, Z ), ! cong( W, X, W, T ), ! cong( U, X, U, Y ), W = U
% 2.65/3.05 , coll( skol21( V0, Y, T, V1 ), Y, T ) }.
% 2.65/3.05 { ! circle( W, X, Y, Z ), ! cong( W, X, W, T ), ! cong( U, X, U, Y ), W = U
% 2.65/3.05 , cong( skol21( X, Y, T, U ), U, U, X ) }.
% 2.65/3.05 { ! alpha2( X, Y, Z, T ), coll( T, X, Y ) }.
% 2.65/3.05 { ! alpha2( X, Y, Z, T ), cong( T, Z, Z, X ) }.
% 2.65/3.05 { ! coll( T, X, Y ), ! cong( T, Z, Z, X ), alpha2( X, Y, Z, T ) }.
% 2.65/3.05 { ! cyclic( X, Y, Z, T ), ! para( X, Y, Z, T ), ! midp( U, X, Y ), circle(
% 2.65/3.05 skol14( X, Y, Z ), X, Y, Z ) }.
% 2.65/3.05 { ! perp( X, Z, Z, Y ), ! cyclic( X, Y, Z, T ), circle( skol15( X, Y, Z ),
% 2.65/3.05 X, Y, Z ) }.
% 2.65/3.05 { ! perp( X, U, U, T ), ! coll( T, Y, Z ), coll( skol16( W, Y, Z ), Y, Z )
% 2.65/3.05 }.
% 2.65/3.05 { ! perp( X, U, U, T ), ! coll( T, Y, Z ), perp( skol16( X, Y, Z ), X, Y, Z
% 2.65/3.05 ) }.
% 2.65/3.05 { ! perp( X, Z, X, Y ), ! perp( Y, X, Y, T ), ! midp( U, Z, T ), midp(
% 2.65/3.05 skol17( X, Y ), X, Y ) }.
% 2.65/3.05 { ! cong( Y, X, Y, Z ), ! perp( X, Y, Y, Z ), coll( X, Y, skol18( X, Y ) )
% 2.65/3.05 }.
% 2.65/3.05 { ! cong( Y, X, Y, Z ), ! perp( X, Y, Y, Z ), cong( Y, X, Y, skol18( X, Y )
% 2.65/3.05 ) }.
% 2.65/3.05 { ! para( U, W, X, Y ), ! coll( Z, U, X ), ! coll( Z, W, Y ), ! coll( T, U
% 2.65/3.05 , W ), coll( Z, T, skol19( V0, V1, Z, T ) ) }.
% 2.65/3.05 { ! para( U, W, X, Y ), ! coll( Z, U, X ), ! coll( Z, W, Y ), ! coll( T, U
% 2.65/3.05 , W ), coll( skol19( X, Y, Z, T ), X, Y ) }.
% 2.65/3.05 { circle( skol20, skol27, skol28, skol29 ) }.
% 2.65/3.05 { circle( skol22, skol27, skol30, skol31 ) }.
% 2.65/3.05 { circle( skol20, skol27, skol23, skol32 ) }.
% 2.65/3.05 { circle( skol22, skol27, skol23, skol33 ) }.
% 2.65/3.05 { midp( skol34, skol23, skol27 ) }.
% 2.65/3.05 { circle( skol20, skol27, skol24, skol35 ) }.
% 2.65/3.05 { circle( skol22, skol27, skol25, skol36 ) }.
% 2.65/3.05 { coll( skol25, skol27, skol24 ) }.
% 2.65/3.05 { coll( skol26, skol20, skol24 ) }.
% 2.65/3.05 { coll( skol26, skol22, skol25 ) }.
% 2.65/3.05 { ! eqangle( skol24, skol23, skol23, skol25, skol20, skol26, skol26, skol22
% 2.65/3.05 ) }.
% 2.65/3.05
% 2.65/3.05 percentage equality = 0.008696, percentage horn = 0.929134
% 2.65/3.05 This is a problem with some equality
% 2.65/3.05
% 2.65/3.05
% 2.65/3.05
% 2.65/3.05 Options Used:
% 2.65/3.05
% 2.65/3.05 useres = 1
% 2.65/3.05 useparamod = 1
% 2.65/3.05 useeqrefl = 1
% 2.65/3.05 useeqfact = 1
% 2.65/3.05 usefactor = 1
% 2.65/3.05 usesimpsplitting = 0
% 2.65/3.05 usesimpdemod = 5
% 2.65/3.05 usesimpres = 3
% 2.65/3.05
% 2.65/3.05 resimpinuse = 1000
% 2.65/3.05 resimpclauses = 20000
% 2.65/3.05 substype = eqrewr
% 2.65/3.05 backwardsubs = 1
% 2.65/3.05 selectoldest = 5
% 2.65/3.05
% 2.65/3.05 litorderings [0] = split
% 2.65/3.05 litorderings [1] = extend the termordering, first sorting on arguments
% 2.65/3.05
% 2.65/3.05 termordering = kbo
% 2.65/3.05
% 2.65/3.05 litapriori = 0
% 2.65/3.05 termapriori = 1
% 2.65/3.05 litaposteriori = 0
% 2.65/3.05 termaposteriori = 0
% 2.65/3.05 demodaposteriori = 0
% 2.65/3.05 ordereqreflfact = 0
% 2.65/3.05
% 2.65/3.05 litselect = negord
% 2.65/3.05
% 2.65/3.05 maxweight = 15
% 2.65/3.05 maxdepth = 30000
% 2.65/3.05 maxlength = 115
% 2.65/3.05 maxnrvars = 195
% 2.65/3.05 excuselevel = 1
% 2.65/3.05 increasemaxweight = 1
% 2.65/3.05
% 2.65/3.05 maxselected = 10000000
% 2.65/3.05 maxnrclauses = 10000000
% 2.65/3.05
% 2.65/3.05 showgenerated = 0
% 2.65/3.05 showkept = 0
% 2.65/3.05 showselected = 0
% 2.65/3.05 showdeleted = 0
% 2.65/3.05 showresimp = 1
% 2.65/3.05 showstatus = 2000
% 2.65/3.05
% 2.65/3.05 prologoutput = 0
% 2.65/3.05 nrgoals = 5000000
% 2.65/3.05 totalproof = 1
% 2.65/3.05
% 2.65/3.05 Symbols occurring in the translation:
% 2.65/3.05
% 2.65/3.05 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 2.65/3.05 . [1, 2] (w:1, o:53, a:1, s:1, b:0),
% 2.65/3.05 ! [4, 1] (w:0, o:48, a:1, s:1, b:0),
% 2.65/3.05 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 2.65/3.05 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 2.65/3.05 coll [38, 3] (w:1, o:81, a:1, s:1, b:0),
% 2.65/3.05 para [40, 4] (w:1, o:89, a:1, s:1, b:0),
% 2.65/3.05 perp [43, 4] (w:1, o:90, a:1, s:1, b:0),
% 2.65/3.05 midp [45, 3] (w:1, o:82, a:1, s:1, b:0),
% 2.65/3.05 cong [47, 4] (w:1, o:91, a:1, s:1, b:0),
% 2.65/3.05 circle [48, 4] (w:1, o:92, a:1, s:1, b:0),
% 2.65/3.05 cyclic [49, 4] (w:1, o:93, a:1, s:1, b:0),
% 2.65/3.05 eqangle [54, 8] (w:1, o:108, a:1, s:1, b:0),
% 2.65/3.05 eqratio [57, 8] (w:1, o:109, a:1, s:1, b:0),
% 2.65/3.05 simtri [59, 6] (w:1, o:105, a:1, s:1, b:0),
% 2.65/3.05 contri [60, 6] (w:1, o:106, a:1, s:1, b:0),
% 2.65/3.05 alpha1 [72, 3] (w:1, o:83, a:1, s:1, b:1),
% 2.65/3.05 alpha2 [73, 4] (w:1, o:94, a:1, s:1, b:1),
% 2.65/3.05 skol1 [74, 4] (w:1, o:95, a:1, s:1, b:1),
% 2.65/3.05 skol2 [75, 4] (w:1, o:97, a:1, s:1, b:1),
% 2.65/3.05 skol3 [76, 4] (w:1, o:99, a:1, s:1, b:1),
% 2.65/3.05 skol4 [77, 4] (w:1, o:100, a:1, s:1, b:1),
% 2.65/3.05 skol5 [78, 4] (w:1, o:101, a:1, s:1, b:1),
% 2.65/3.05 skol6 [79, 6] (w:1, o:107, a:1, s:1, b:1),
% 2.65/3.05 skol7 [80, 2] (w:1, o:77, a:1, s:1, b:1),
% 2.65/3.05 skol8 [81, 4] (w:1, o:102, a:1, s:1, b:1),
% 2.65/3.05 skol9 [82, 4] (w:1, o:103, a:1, s:1, b:1),
% 2.65/3.05 skol10 [83, 3] (w:1, o:84, a:1, s:1, b:1),
% 2.65/3.05 skol11 [84, 3] (w:1, o:85, a:1, s:1, b:1),
% 2.65/3.05 skol12 [85, 2] (w:1, o:78, a:1, s:1, b:1),
% 2.65/3.05 skol13 [86, 5] (w:1, o:104, a:1, s:1, b:1),
% 2.65/3.05 skol14 [87, 3] (w:1, o:86, a:1, s:1, b:1),
% 2.65/3.05 skol15 [88, 3] (w:1, o:87, a:1, s:1, b:1),
% 2.65/3.05 skol16 [89, 3] (w:1, o:88, a:1, s:1, b:1),
% 2.65/3.05 skol17 [90, 2] (w:1, o:79, a:1, s:1, b:1),
% 2.65/3.05 skol18 [91, 2] (w:1, o:80, a:1, s:1, b:1),
% 2.65/3.05 skol19 [92, 4] (w:1, o:96, a:1, s:1, b:1),
% 2.65/3.05 skol20 [93, 0] (w:1, o:32, a:1, s:1, b:1),
% 2.65/3.05 skol21 [94, 4] (w:1, o:98, a:1, s:1, b:1),
% 2.65/3.05 skol22 [95, 0] (w:1, o:33, a:1, s:1, b:1),
% 2.65/3.05 skol23 [96, 0] (w:1, o:34, a:1, s:1, b:1),
% 2.65/3.05 skol24 [97, 0] (w:1, o:35, a:1, s:1, b:1),
% 2.65/3.05 skol25 [98, 0] (w:1, o:36, a:1, s:1, b:1),
% 2.65/3.05 skol26 [99, 0] (w:1, o:37, a:1, s:1, b:1),
% 2.65/3.05 skol27 [100, 0] (w:1, o:38, a:1, s:1, b:1),
% 2.65/3.05 skol28 [101, 0] (w:1, o:39, a:1, s:1, b:1),
% 2.65/3.05 skol29 [102, 0] (w:1, o:40, a:1, s:1, b:1),
% 2.65/3.05 skol30 [103, 0] (w:1, o:41, a:1, s:1, b:1),
% 2.65/3.05 skol31 [104, 0] (w:1, o:42, a:1, s:1, b:1),
% 2.65/3.05 skol32 [105, 0] (w:1, o:43, a:1, s:1, b:1),
% 2.65/3.05 skol33 [106, 0] (w:1, o:44, a:1, s:1, b:1),
% 2.65/3.05 skol34 [107, 0] (w:1, o:45, a:1, s:1, b:1),
% 2.65/3.05 skol35 [108, 0] (w:1, o:46, a:1, s:1, b:1),
% 2.65/3.05 skol36 [109, 0] (w:1, o:47, a:1, s:1, b:1).
% 2.65/3.05
% 2.65/3.05
% 2.65/3.05 Starting Search:
% 2.65/3.05
% 2.65/3.05 *** allocated 15000 integers for clauses
% 2.65/3.05 *** allocated 22500 integers for clauses
% 2.65/3.05 *** allocated 33750 integers for clauses
% 2.65/3.05 *** allocated 22500 integers for termspace/termends
% 2.65/3.05 *** allocated 50625 integers for clauses
% 2.65/3.05 *** allocated 75937 integers for clauses
% 2.65/3.05 Resimplifying inuse:
% 2.65/3.05 Done
% 2.65/3.05
% 2.65/3.05 *** allocated 33750 integers for termspace/termends
% 2.65/3.05 *** allocated 113905 integers for clauses
% 2.65/3.05 *** allocated 50625 integers for termspace/termends
% 2.65/3.05
% 2.65/3.05 Intermediate Status:
% 2.65/3.05 Generated: 11969
% 2.65/3.05 Kept: 2003
% 2.65/3.05 Inuse: 330
% 2.65/3.05 Deleted: 0
% 2.65/3.05 Deletedinuse: 0
% 2.65/3.05
% 2.65/3.05 Resimplifying inuse:
% 2.65/3.05 Done
% 2.65/3.05
% 2.65/3.05 *** allocated 170857 integers for clauses
% 2.65/3.05 *** allocated 75937 integers for termspace/termends
% 2.65/3.05 Resimplifying inuse:
% 2.65/3.05 Done
% 2.65/3.05
% 2.65/3.05 *** allocated 256285 integers for clauses
% 2.65/3.05 *** allocated 113905 integers for termspace/termends
% 2.65/3.05
% 2.65/3.05 Intermediate Status:
% 2.65/3.05 Generated: 25980
% 2.65/3.05 Kept: 4006
% 2.65/3.05 Inuse: 471
% 2.65/3.05 Deleted: 0
% 2.65/3.05 Deletedinuse: 0
% 2.65/3.05
% 2.65/3.05 Resimplifying inuse:
% 2.65/3.05 Done
% 2.65/3.05
% 2.65/3.05 *** allocated 384427 integers for clauses
% 2.65/3.05 Resimplifying inuse:
% 2.65/3.05 Done
% 2.65/3.05
% 2.65/3.05 *** allocated 170857 integers for termspace/termends
% 2.65/3.05
% 2.65/3.05 Intermediate Status:
% 2.65/3.05 Generated: 39606
% 2.65/3.05 Kept: 6025
% 2.65/3.05 Inuse: 535
% 2.65/3.05 Deleted: 0
% 2.65/3.05 Deletedinuse: 0
% 2.65/3.05
% 2.65/3.05 Resimplifying inuse:
% 2.65/3.05 Done
% 2.65/3.05
% 2.65/3.05 Resimplifying inuse:
% 2.65/3.05 Done
% 2.65/3.05
% 2.65/3.05 *** allocated 576640 integers for clauses
% 2.65/3.05
% 2.65/3.05 Intermediate Status:
% 2.65/3.05 Generated: 53496
% 2.65/3.05 Kept: 8084
% 2.65/3.05 Inuse: 690
% 2.65/3.05 Deleted: 1
% 2.65/3.05 Deletedinuse: 0
% 2.65/3.05
% 2.65/3.05 Resimplifying inuse:
% 2.65/3.05 Done
% 2.65/3.05
% 2.65/3.05 *** allocated 256285 integers for termspace/termends
% 2.65/3.05 Resimplifying inuse:
% 2.65/3.05 Done
% 2.65/3.05
% 2.65/3.05
% 2.65/3.05 Intermediate Status:
% 2.65/3.05 Generated: 64984
% 2.65/3.05 Kept: 10147
% 2.65/3.05 Inuse: 893
% 2.65/3.05 Deleted: 756
% 2.65/3.05 Deletedinuse: 523
% 2.65/3.05
% 2.65/3.05 Resimplifying inuse:
% 2.65/3.05 Done
% 2.65/3.05
% 2.65/3.05 Resimplifying inuse:
% 2.65/3.05 Done
% 2.65/3.05
% 2.65/3.05 *** allocated 864960 integers for clauses
% 2.65/3.05
% 2.65/3.05 Intermediate Status:
% 2.65/3.05 Generated: 76204
% 2.65/3.05 Kept: 12148
% 2.65/3.05 Inuse: 1104
% 2.65/3.05 Deleted: 759
% 2.65/3.05 Deletedinuse: 523
% 2.65/3.05
% 2.65/3.05 Resimplifying inuse:
% 2.65/3.05 Done
% 2.65/3.05
% 2.65/3.05 Resimplifying inuse:
% 2.65/3.05 Done
% 2.65/3.05
% 2.65/3.05
% 2.65/3.05 Intermediate Status:
% 2.65/3.05 Generated: 91852
% 2.65/3.05 Kept: 14162
% 2.65/3.05 Inuse: 1411
% 2.65/3.05 Deleted: 872
% 2.65/3.05 Deletedinuse: 580
% 2.65/3.05
% 2.65/3.05 Resimplifying inuse:
% 2.65/3.05 Done
% 2.65/3.05
% 2.65/3.05 *** allocated 384427 integers for termspace/termends
% 2.65/3.05 Resimplifying inuse:
% 2.65/3.05 Done
% 2.65/3.05
% 2.65/3.05
% 2.65/3.05 Intermediate Status:
% 2.65/3.05 Generated: 117400
% 2.65/3.05 Kept: 16163
% 2.65/3.05 Inuse: 1813
% 2.65/3.05 Deleted: 1155
% 2.65/3.05 Deletedinuse: 823
% 2.65/3.05
% 2.65/3.05 Resimplifying inuse:
% 2.65/3.05 Done
% 2.65/3.05
% 2.65/3.05 *** allocated 1297440 integers for clauses
% 2.65/3.05 Resimplifying inuse:
% 2.65/3.05 Done
% 2.65/3.05
% 2.65/3.05
% 2.65/3.05 Intermediate Status:
% 2.65/3.05 Generated: 136457
% 2.65/3.05 Kept: 18166
% 2.65/3.05 Inuse: 2180
% 2.65/3.05 Deleted: 1471
% 2.65/3.05 Deletedinuse: 966
% 2.65/3.05
% 2.65/3.05
% 2.65/3.05 Bliksems!, er is een bewijs:
% 2.65/3.05 % SZS status Theorem
% 2.65/3.05 % SZS output start Refutation
% 2.65/3.05
% 2.65/3.05 (0) {G0,W8,D2,L2,V3,M2} I { ! coll( X, Y, Z ), coll( X, Z, Y ) }.
% 2.65/3.05 (1) {G0,W8,D2,L2,V3,M2} I { ! coll( X, Y, Z ), coll( Y, X, Z ) }.
% 2.65/3.05 (2) {G0,W12,D2,L3,V4,M3} I { ! coll( X, T, Y ), ! coll( X, T, Z ), coll( Y
% 2.65/3.05 , Z, X ) }.
% 2.65/3.05 (3) {G0,W10,D2,L2,V4,M2} I { ! para( X, Y, Z, T ), para( X, Y, T, Z ) }.
% 2.65/3.05 (4) {G0,W10,D2,L2,V4,M2} I { ! para( X, Y, Z, T ), para( Z, T, X, Y ) }.
% 2.65/3.05 (5) {G0,W15,D2,L3,V6,M3} I { ! para( X, Y, U, W ), ! para( U, W, Z, T ),
% 2.65/3.05 para( X, Y, Z, T ) }.
% 2.65/3.05 (6) {G0,W10,D2,L2,V4,M2} I { ! perp( X, Y, Z, T ), perp( X, Y, T, Z ) }.
% 2.65/3.05 (7) {G0,W10,D2,L2,V4,M2} I { ! perp( X, Y, Z, T ), perp( Z, T, X, Y ) }.
% 2.65/3.05 (8) {G0,W15,D2,L3,V6,M3} I { ! perp( X, Y, U, W ), ! perp( U, W, Z, T ),
% 2.65/3.05 para( X, Y, Z, T ) }.
% 2.65/3.05 (9) {G0,W15,D2,L3,V6,M3} I { ! para( X, Y, U, W ), ! perp( U, W, Z, T ),
% 2.65/3.05 perp( X, Y, Z, T ) }.
% 2.65/3.05 (10) {G0,W8,D2,L2,V3,M2} I { ! midp( Z, Y, X ), midp( Z, X, Y ) }.
% 2.65/3.05 (11) {G0,W15,D2,L3,V4,M3} I { ! cong( T, X, T, Y ), ! cong( T, X, T, Z ),
% 2.65/3.05 circle( T, X, Y, Z ) }.
% 2.65/3.05 (12) {G0,W20,D2,L4,V5,M4} I { ! cong( U, X, U, Y ), ! cong( U, X, U, Z ), !
% 2.65/3.05 cong( U, X, U, T ), cyclic( X, Y, Z, T ) }.
% 2.65/3.05 (16) {G0,W15,D2,L3,V5,M3} I { ! cyclic( U, X, Y, Z ), ! cyclic( U, X, Y, T
% 2.65/3.05 ), cyclic( X, Y, Z, T ) }.
% 2.65/3.05 (17) {G0,W18,D2,L2,V8,M2} I { ! eqangle( X, Y, Z, T, U, W, V0, V1 ),
% 2.65/3.05 eqangle( Y, X, Z, T, U, W, V0, V1 ) }.
% 2.65/3.05 (18) {G0,W18,D2,L2,V8,M2} I { ! eqangle( X, Y, Z, T, U, W, V0, V1 ),
% 2.65/3.05 eqangle( Z, T, X, Y, V0, V1, U, W ) }.
% 2.65/3.05 (19) {G0,W18,D2,L2,V8,M2} I { ! eqangle( X, Y, Z, T, U, W, V0, V1 ),
% 2.65/3.05 eqangle( U, W, V0, V1, X, Y, Z, T ) }.
% 2.65/3.05 (20) {G0,W18,D2,L2,V8,M2} I { ! eqangle( X, Y, Z, T, U, W, V0, V1 ),
% 2.65/3.05 eqangle( X, Y, U, W, Z, T, V0, V1 ) }.
% 2.65/3.05 (21) {G0,W27,D2,L3,V12,M3} I { ! eqangle( X, Y, Z, T, V2, V3, V4, V5 ), !
% 2.65/3.05 eqangle( V2, V3, V4, V5, U, W, V0, V1 ), eqangle( X, Y, Z, T, U, W, V0,
% 2.65/3.05 V1 ) }.
% 2.65/3.05 (22) {G0,W10,D2,L2,V4,M2} I { ! cong( X, Y, Z, T ), cong( X, Y, T, Z ) }.
% 2.65/3.05 (23) {G0,W10,D2,L2,V4,M2} I { ! cong( X, Y, Z, T ), cong( Z, T, X, Y ) }.
% 2.65/3.05 (24) {G0,W15,D2,L3,V6,M3} I { ! cong( X, Y, U, W ), ! cong( U, W, Z, T ),
% 2.65/3.05 cong( X, Y, Z, T ) }.
% 2.65/3.05 (39) {G0,W14,D2,L2,V6,M2} I { ! para( X, Y, Z, T ), eqangle( X, Y, U, W, Z
% 2.65/3.05 , T, U, W ) }.
% 2.65/3.05 (43) {G0,W29,D2,L5,V6,M5} I { ! cyclic( X, Y, U, Z ), ! cyclic( X, Y, U, T
% 2.65/3.05 ), ! cyclic( X, Y, U, W ), ! eqangle( U, X, U, Y, W, Z, W, T ), cong( X
% 2.65/3.05 , Y, Z, T ) }.
% 2.65/3.05 (46) {G0,W14,D2,L2,V3,M2} I { ! cong( Z, X, Z, Y ), eqangle( Z, X, X, Y, X
% 2.65/3.05 , Y, Z, Y ) }.
% 2.65/3.05 (52) {G0,W14,D2,L3,V4,M3} I { ! perp( X, Y, Y, T ), ! midp( Z, X, T ), cong
% 2.65/3.05 ( X, Z, Y, Z ) }.
% 2.65/3.05 (56) {G0,W15,D2,L3,V4,M3} I { ! cong( X, Z, Y, Z ), ! cong( X, T, Y, T ),
% 2.65/3.05 perp( X, Y, Z, T ) }.
% 2.65/3.05 (57) {G0,W20,D2,L4,V4,M4} I { ! cong( X, Y, T, Y ), ! cong( X, Z, T, Z ), !
% 2.65/3.05 cyclic( X, T, Y, Z ), perp( Y, X, X, Z ) }.
% 2.65/3.05 (63) {G0,W13,D2,L3,V5,M3} I { ! midp( U, X, Y ), ! midp( U, Z, T ), para( X
% 2.65/3.05 , Z, Y, T ) }.
% 2.65/3.05 (64) {G0,W18,D2,L4,V5,M4} I { ! midp( Z, T, U ), ! para( T, X, U, Y ), !
% 2.65/3.05 para( T, Y, U, X ), midp( Z, X, Y ) }.
% 2.65/3.05 (68) {G0,W9,D2,L2,V3,M2} I { ! midp( X, Y, Z ), cong( X, Y, X, Z ) }.
% 2.65/3.05 (69) {G0,W8,D2,L2,V3,M2} I { ! midp( X, Y, Z ), coll( X, Y, Z ) }.
% 2.65/3.05 (71) {G0,W19,D2,L3,V4,M3} I { ! eqangle( X, Y, Z, T, Z, T, X, Y ), para( X
% 2.65/3.05 , Y, Z, T ), perp( X, Y, Z, T ) }.
% 2.65/3.05 (72) {G0,W19,D2,L3,V8,M3} I { ! eqangle( X, Y, Z, T, U, W, V0, V1 ), ! para
% 2.65/3.05 ( U, W, V0, V1 ), para( X, Y, Z, T ) }.
% 2.65/3.05 (73) {G0,W19,D2,L3,V8,M3} I { ! eqangle( X, Y, Z, T, U, W, V0, V1 ), ! perp
% 2.65/3.05 ( U, W, V0, V1 ), perp( X, Y, Z, T ) }.
% 2.65/3.05 (88) {G0,W22,D3,L5,V7,M5} I { ! midp( Z, X, Y ), ! midp( W, T, U ), ! coll
% 2.65/3.05 ( T, X, Y ), ! coll( U, X, Y ), midp( skol7( X, V0 ), X, V0 ) }.
% 2.65/3.05 (95) {G0,W18,D3,L3,V4,M3} I { ! perp( X, T, Y, Z ), ! perp( Y, T, X, Z ),
% 2.65/3.05 perp( X, skol10( X, Y, Z ), Z, Y ) }.
% 2.65/3.05 (100) {G0,W12,D3,L2,V4,M2} I { ! circle( Y, X, Z, T ), perp( skol12( X, Y )
% 2.65/3.05 , X, X, Y ) }.
% 2.65/3.05 (116) {G0,W5,D2,L1,V0,M1} I { circle( skol20, skol27, skol28, skol29 ) }.
% 2.65/3.05 (120) {G0,W4,D2,L1,V0,M1} I { midp( skol34, skol23, skol27 ) }.
% 2.65/3.05 (126) {G0,W9,D2,L1,V0,M1} I { ! eqangle( skol24, skol23, skol23, skol25,
% 2.65/3.05 skol20, skol26, skol26, skol22 ) }.
% 2.65/3.05 (129) {G1,W10,D2,L2,V3,M2} F(11) { ! cong( X, Y, X, Z ), circle( X, Y, Z, Z
% 2.65/3.05 ) }.
% 2.65/3.05 (132) {G1,W15,D2,L3,V4,M3} F(12) { ! cong( X, Y, X, Z ), ! cong( X, Y, X, T
% 2.65/3.05 ), cyclic( Y, Z, T, T ) }.
% 2.65/3.05 (133) {G2,W10,D2,L2,V3,M2} F(132) { ! cong( X, Y, X, Z ), cyclic( Y, Z, Z,
% 2.65/3.05 Z ) }.
% 2.65/3.05 (134) {G1,W10,D2,L2,V4,M2} F(16) { ! cyclic( X, Y, Z, T ), cyclic( Y, Z, T
% 2.65/3.05 , T ) }.
% 2.65/3.05 (137) {G1,W24,D2,L4,V5,M4} F(43) { ! cyclic( X, Y, Z, T ), ! cyclic( X, Y,
% 2.65/3.05 Z, U ), ! eqangle( Z, X, Z, Y, U, T, U, U ), cong( X, Y, T, U ) }.
% 2.65/3.05 (139) {G1,W10,D2,L2,V3,M2} F(56) { ! cong( X, Y, Z, Y ), perp( X, Z, Y, Y )
% 2.65/3.05 }.
% 2.65/3.05 (140) {G1,W15,D2,L3,V3,M3} F(57) { ! cong( X, Y, Z, Y ), ! cyclic( X, Z, Y
% 2.65/3.05 , Y ), perp( Y, X, X, Y ) }.
% 2.65/3.05 (142) {G1,W9,D2,L2,V3,M2} F(63) { ! midp( X, Y, Z ), para( Y, Y, Z, Z ) }.
% 2.65/3.05 (143) {G1,W13,D2,L3,V4,M3} F(64) { ! midp( X, Y, Z ), ! para( Y, T, Z, T )
% 2.65/3.05 , midp( X, T, T ) }.
% 2.65/3.05 (149) {G1,W18,D3,L4,V4,M4} F(88) { ! midp( X, Y, Z ), ! coll( Y, Y, Z ), !
% 2.65/3.05 coll( Z, Y, Z ), midp( skol7( Y, T ), Y, T ) }.
% 2.65/3.05 (155) {G1,W13,D3,L2,V3,M2} F(95) { ! perp( X, Y, X, Z ), perp( X, skol10( X
% 2.65/3.05 , X, Z ), Z, X ) }.
% 2.65/3.05 (170) {G1,W8,D2,L2,V3,M2} R(1,0) { coll( X, Y, Z ), ! coll( Y, Z, X ) }.
% 2.65/3.05 (171) {G1,W8,D2,L2,V3,M2} R(1,0) { ! coll( X, Y, Z ), coll( Y, Z, X ) }.
% 2.65/3.05 (228) {G1,W10,D2,L2,V4,M2} R(4,3) { ! para( X, Y, Z, T ), para( Z, T, Y, X
% 2.65/3.05 ) }.
% 2.65/3.05 (230) {G1,W15,D2,L3,V6,M3} R(5,4) { ! para( X, Y, Z, T ), para( U, W, Z, T
% 2.65/3.05 ), ! para( X, Y, U, W ) }.
% 2.65/3.05 (231) {G1,W15,D2,L3,V6,M3} R(5,4) { ! para( X, Y, Z, T ), para( X, Y, U, W
% 2.65/3.05 ), ! para( U, W, Z, T ) }.
% 2.65/3.05 (235) {G2,W10,D2,L2,V4,M2} F(231) { ! para( X, Y, Z, T ), para( X, Y, X, Y
% 2.65/3.05 ) }.
% 2.65/3.05 (236) {G2,W10,D2,L2,V4,M2} F(230) { ! para( X, Y, Z, T ), para( Z, T, Z, T
% 2.65/3.05 ) }.
% 2.65/3.05 (274) {G1,W10,D2,L2,V4,M2} R(7,6) { perp( X, Y, Z, T ), ! perp( Z, T, Y, X
% 2.65/3.05 ) }.
% 2.65/3.05 (275) {G1,W10,D2,L2,V4,M2} R(7,6) { ! perp( X, Y, Z, T ), perp( Z, T, Y, X
% 2.65/3.05 ) }.
% 2.65/3.05 (285) {G1,W15,D2,L3,V6,M3} R(8,7) { ! perp( X, Y, Z, T ), para( X, Y, U, W
% 2.65/3.05 ), ! perp( U, W, Z, T ) }.
% 2.65/3.05 (286) {G1,W15,D2,L3,V6,M3} R(8,6) { ! perp( X, Y, Z, T ), para( U, W, Z, T
% 2.65/3.05 ), ! perp( U, W, Y, X ) }.
% 2.65/3.05 (290) {G1,W15,D2,L3,V6,M3} R(8,4) { ! perp( X, Y, Z, T ), ! perp( Z, T, U,
% 2.65/3.05 W ), para( U, W, X, Y ) }.
% 2.65/3.05 (293) {G2,W10,D2,L2,V4,M2} F(285) { ! perp( X, Y, Z, T ), para( X, Y, X, Y
% 2.65/3.05 ) }.
% 2.65/3.05 (311) {G1,W15,D2,L3,V6,M3} R(9,3) { ! perp( X, Y, Z, T ), perp( U, W, Z, T
% 2.65/3.05 ), ! para( U, W, Y, X ) }.
% 2.65/3.05 (319) {G1,W4,D2,L1,V0,M1} R(10,120) { midp( skol34, skol27, skol23 ) }.
% 2.65/3.05 (414) {G1,W18,D2,L2,V8,M2} R(19,18) { eqangle( X, Y, Z, T, U, W, V0, V1 ),
% 2.65/3.05 ! eqangle( V0, V1, U, W, Z, T, X, Y ) }.
% 2.65/3.05 (415) {G1,W18,D2,L2,V8,M2} R(19,17) { eqangle( X, Y, Z, T, U, W, V0, V1 ),
% 2.65/3.05 ! eqangle( W, U, V0, V1, X, Y, Z, T ) }.
% 2.65/3.05 (416) {G1,W18,D2,L2,V8,M2} R(19,17) { ! eqangle( X, Y, Z, T, U, W, V0, V1 )
% 2.65/3.05 , eqangle( W, U, V0, V1, X, Y, Z, T ) }.
% 2.65/3.05 (427) {G1,W18,D2,L2,V8,M2} R(20,19) { ! eqangle( X, Y, Z, T, U, W, V0, V1 )
% 2.65/3.05 , eqangle( Z, T, V0, V1, X, Y, U, W ) }.
% 2.65/3.05 (428) {G1,W18,D2,L2,V8,M2} R(20,17) { eqangle( X, Y, Z, T, U, W, V0, V1 ),
% 2.65/3.05 ! eqangle( Y, X, U, W, Z, T, V0, V1 ) }.
% 2.65/3.05 (499) {G1,W15,D2,L3,V6,M3} R(24,23) { ! cong( X, Y, Z, T ), cong( X, Y, U,
% 2.65/3.05 W ), ! cong( U, W, Z, T ) }.
% 2.65/3.05 (510) {G2,W10,D2,L2,V4,M2} F(499) { ! cong( X, Y, Z, T ), cong( X, Y, X, Y
% 2.65/3.05 ) }.
% 2.65/3.05 (522) {G2,W8,D2,L2,V3,M2} R(69,170) { ! midp( X, Y, Z ), coll( Z, X, Y )
% 2.65/3.05 }.
% 2.65/3.05 (543) {G2,W4,D2,L1,V0,M1} R(69,319) { coll( skol34, skol27, skol23 ) }.
% 2.65/3.05 (548) {G1,W8,D2,L2,V3,M2} R(69,1) { ! midp( X, Y, Z ), coll( Y, X, Z ) }.
% 2.65/3.05 (549) {G1,W4,D2,L1,V0,M1} R(69,120) { coll( skol34, skol23, skol27 ) }.
% 2.65/3.05 (574) {G3,W4,D2,L1,V0,M1} R(543,1) { coll( skol27, skol34, skol23 ) }.
% 2.65/3.05 (616) {G4,W8,D2,L2,V1,M2} R(574,2) { ! coll( skol27, skol34, X ), coll(
% 2.65/3.05 skol23, X, skol27 ) }.
% 2.65/3.05 (618) {G2,W8,D2,L2,V1,M2} R(549,2) { ! coll( skol34, skol23, X ), coll(
% 2.65/3.05 skol27, X, skol34 ) }.
% 2.65/3.05 (687) {G1,W23,D2,L3,V10,M3} R(39,21) { ! para( X, Y, Z, T ), ! eqangle( Z,
% 2.65/3.05 T, U, W, V0, V1, V2, V3 ), eqangle( X, Y, U, W, V0, V1, V2, V3 ) }.
% 2.65/3.05 (695) {G1,W14,D2,L2,V6,M2} R(39,3) { eqangle( X, Y, Z, T, U, W, Z, T ), !
% 2.65/3.05 para( X, Y, W, U ) }.
% 2.65/3.05 (705) {G3,W8,D2,L2,V1,M2} R(618,171) { coll( skol27, X, skol34 ), ! coll( X
% 2.65/3.05 , skol34, skol23 ) }.
% 2.65/3.05 (1700) {G4,W8,D2,L2,V1,M2} R(705,171) { ! coll( X, skol34, skol23 ), coll(
% 2.65/3.05 X, skol34, skol27 ) }.
% 2.65/3.05 (1752) {G5,W12,D2,L3,V2,M3} R(1700,2) { ! coll( X, skol34, skol23 ), ! coll
% 2.65/3.05 ( X, skol34, Y ), coll( skol27, Y, X ) }.
% 2.65/3.05 (1757) {G6,W8,D2,L2,V1,M2} F(1752) { ! coll( X, skol34, skol23 ), coll(
% 2.65/3.05 skol27, skol23, X ) }.
% 2.65/3.05 (2466) {G2,W5,D2,L1,V0,M1} R(68,319) { cong( skol34, skol27, skol34, skol23
% 2.65/3.05 ) }.
% 2.65/3.05 (2467) {G1,W5,D2,L1,V0,M1} R(68,120) { cong( skol34, skol23, skol34, skol27
% 2.65/3.05 ) }.
% 2.65/3.05 (2476) {G3,W5,D2,L1,V0,M1} R(2466,22) { cong( skol34, skol27, skol23,
% 2.65/3.05 skol34 ) }.
% 2.65/3.05 (2596) {G7,W8,D2,L2,V1,M2} R(1757,548) { coll( skol27, skol23, X ), ! midp
% 2.65/3.05 ( skol34, X, skol23 ) }.
% 2.65/3.05 (2599) {G7,W8,D2,L2,V1,M2} R(1757,522) { coll( skol27, skol23, X ), ! midp
% 2.65/3.05 ( skol34, skol23, X ) }.
% 2.65/3.05 (2648) {G8,W8,D2,L2,V1,M2} R(2596,170) { ! midp( skol34, X, skol23 ), coll
% 2.65/3.05 ( X, skol27, skol23 ) }.
% 2.65/3.05 (4107) {G5,W8,D2,L2,V1,M2} R(616,548) { coll( skol23, X, skol27 ), ! midp(
% 2.65/3.05 skol34, skol27, X ) }.
% 2.65/3.05 (4133) {G6,W8,D2,L2,V1,M2} R(4107,171) { ! midp( skol34, skol27, X ), coll
% 2.65/3.05 ( X, skol27, skol23 ) }.
% 2.65/3.05 (4149) {G7,W8,D2,L2,V1,M2} R(4133,10) { coll( X, skol27, skol23 ), ! midp(
% 2.65/3.05 skol34, X, skol27 ) }.
% 2.65/3.05 (4166) {G8,W8,D2,L2,V1,M2} R(4149,0) { ! midp( skol34, X, skol27 ), coll( X
% 2.65/3.05 , skol23, skol27 ) }.
% 2.65/3.05 (4729) {G1,W7,D3,L1,V0,M1} R(100,116) { perp( skol12( skol27, skol20 ),
% 2.65/3.05 skol27, skol27, skol20 ) }.
% 2.65/3.05 (4743) {G2,W7,D3,L1,V0,M1} R(4729,7) { perp( skol27, skol20, skol12( skol27
% 2.65/3.05 , skol20 ), skol27 ) }.
% 2.65/3.05 (4754) {G3,W7,D3,L1,V0,M1} R(4743,6) { perp( skol27, skol20, skol27, skol12
% 2.65/3.05 ( skol27, skol20 ) ) }.
% 2.65/3.05 (7105) {G1,W9,D2,L1,V0,M1} R(126,17) { ! eqangle( skol23, skol24, skol23,
% 2.65/3.05 skol25, skol20, skol26, skol26, skol22 ) }.
% 2.65/3.05 (7162) {G2,W5,D2,L1,V0,M1} R(129,2467) { circle( skol34, skol23, skol27,
% 2.65/3.05 skol27 ) }.
% 2.65/3.05 (7163) {G3,W5,D2,L1,V0,M1} R(129,2466) { circle( skol34, skol27, skol23,
% 2.65/3.05 skol23 ) }.
% 2.65/3.05 (7171) {G3,W7,D3,L1,V0,M1} R(7162,100) { perp( skol12( skol23, skol34 ),
% 2.65/3.05 skol23, skol23, skol34 ) }.
% 2.65/3.05 (7259) {G4,W7,D3,L1,V0,M1} R(7163,100) { perp( skol12( skol27, skol34 ),
% 2.65/3.05 skol27, skol27, skol34 ) }.
% 2.65/3.05 (7319) {G3,W5,D2,L1,V0,M1} R(133,2467) { cyclic( skol23, skol27, skol27,
% 2.65/3.05 skol27 ) }.
% 2.65/3.05 (7352) {G4,W5,D2,L1,V0,M1} R(134,7319) { cyclic( skol27, skol27, skol27,
% 2.65/3.05 skol27 ) }.
% 2.65/3.05 (7951) {G9,W14,D3,L3,V2,M3} R(149,4133);r(2648) { ! midp( X, skol27, skol23
% 2.65/3.05 ), midp( skol7( skol27, Y ), skol27, Y ), ! midp( skol34, skol27, skol23
% 2.65/3.05 ) }.
% 2.65/3.05 (7988) {G9,W14,D3,L3,V2,M3} R(149,2599);r(4166) { ! midp( X, skol23, skol27
% 2.65/3.05 ), midp( skol7( skol23, Y ), skol23, Y ), ! midp( skol34, skol23, skol27
% 2.65/3.05 ) }.
% 2.65/3.05 (8082) {G10,W6,D3,L1,V1,M1} F(7988);r(120) { midp( skol7( skol23, X ),
% 2.65/3.05 skol23, X ) }.
% 2.65/3.05 (8083) {G10,W6,D3,L1,V1,M1} F(7951);r(319) { midp( skol7( skol27, X ),
% 2.65/3.05 skol27, X ) }.
% 2.65/3.05 (8088) {G11,W5,D2,L1,V1,M1} R(8083,142) { para( skol27, skol27, X, X ) }.
% 2.65/3.05 (8212) {G12,W5,D2,L1,V1,M1} R(8088,4) { para( X, X, skol27, skol27 ) }.
% 2.65/3.05 (8216) {G13,W9,D2,L1,V3,M1} R(8212,39) { eqangle( X, X, Y, Z, skol27,
% 2.65/3.05 skol27, Y, Z ) }.
% 2.65/3.05 (8254) {G11,W5,D2,L1,V1,M1} R(8082,142) { para( skol23, skol23, X, X ) }.
% 2.65/3.05 (8266) {G11,W6,D3,L1,V1,M1} R(8082,10) { midp( skol7( skol23, X ), X,
% 2.65/3.05 skol23 ) }.
% 2.65/3.05 (8274) {G12,W5,D2,L1,V1,M1} R(8254,4) { para( X, X, skol23, skol23 ) }.
% 2.65/3.05 (8308) {G5,W7,D3,L1,V0,M1} R(7259,7) { perp( skol27, skol34, skol12( skol27
% 2.65/3.05 , skol34 ), skol27 ) }.
% 2.65/3.05 (8317) {G6,W7,D3,L1,V0,M1} R(8308,6) { perp( skol27, skol34, skol27, skol12
% 2.65/3.05 ( skol27, skol34 ) ) }.
% 2.65/3.05 (8324) {G7,W7,D3,L1,V0,M1} R(8317,7) { perp( skol27, skol12( skol27, skol34
% 2.65/3.05 ), skol27, skol34 ) }.
% 2.65/3.05 (8326) {G8,W8,D3,L1,V0,M1} R(8324,155) { perp( skol27, skol10( skol27,
% 2.65/3.05 skol27, skol34 ), skol34, skol27 ) }.
% 2.65/3.05 (8370) {G4,W7,D3,L1,V0,M1} R(7171,7) { perp( skol23, skol34, skol12( skol23
% 2.65/3.05 , skol34 ), skol23 ) }.
% 2.65/3.05 (8377) {G5,W7,D3,L1,V0,M1} R(8370,6) { perp( skol23, skol34, skol23, skol12
% 2.65/3.05 ( skol23, skol34 ) ) }.
% 2.65/3.05 (8384) {G6,W7,D3,L1,V0,M1} R(8377,7) { perp( skol23, skol12( skol23, skol34
% 2.65/3.05 ), skol23, skol34 ) }.
% 2.65/3.05 (8387) {G7,W8,D3,L1,V0,M1} R(8384,155) { perp( skol23, skol10( skol23,
% 2.65/3.05 skol23, skol34 ), skol34, skol23 ) }.
% 2.65/3.05 (8717) {G13,W5,D2,L1,V1,M1} R(235,8274) { para( X, X, X, X ) }.
% 2.65/3.05 (8724) {G14,W9,D2,L1,V3,M1} R(8717,39) { eqangle( X, X, Y, Z, X, X, Y, Z )
% 2.65/3.05 }.
% 2.65/3.05 (8762) {G8,W8,D3,L1,V0,M1} R(8387,7) { perp( skol34, skol23, skol23, skol10
% 2.65/3.05 ( skol23, skol23, skol34 ) ) }.
% 2.65/3.05 (8772) {G9,W8,D3,L1,V0,M1} R(8762,6) { perp( skol34, skol23, skol10( skol23
% 2.65/3.05 , skol23, skol34 ), skol23 ) }.
% 2.65/3.05 (8777) {G10,W8,D3,L1,V0,M1} R(8772,7) { perp( skol10( skol23, skol23,
% 2.65/3.05 skol34 ), skol23, skol34, skol23 ) }.
% 2.65/3.05 (8786) {G11,W8,D3,L1,V0,M1} R(8777,6) { perp( skol10( skol23, skol23,
% 2.65/3.05 skol34 ), skol23, skol23, skol34 ) }.
% 2.65/3.05 (8796) {G12,W8,D3,L1,V0,M1} R(8786,7) { perp( skol23, skol34, skol10(
% 2.65/3.05 skol23, skol23, skol34 ), skol23 ) }.
% 2.65/3.05 (8802) {G13,W8,D3,L1,V0,M1} R(8796,6) { perp( skol23, skol34, skol23,
% 2.65/3.05 skol10( skol23, skol23, skol34 ) ) }.
% 2.65/3.05 (9094) {G9,W8,D3,L1,V0,M1} R(8326,7) { perp( skol34, skol27, skol27, skol10
% 2.65/3.05 ( skol27, skol27, skol34 ) ) }.
% 2.65/3.05 (9510) {G10,W5,D2,L1,V0,M1} R(293,9094) { para( skol34, skol27, skol34,
% 2.65/3.05 skol27 ) }.
% 2.65/3.05 (9516) {G14,W5,D2,L1,V0,M1} R(293,8802) { para( skol23, skol34, skol23,
% 2.65/3.05 skol34 ) }.
% 2.65/3.05 (9538) {G4,W5,D2,L1,V0,M1} R(293,4754) { para( skol27, skol20, skol27,
% 2.65/3.05 skol20 ) }.
% 2.65/3.05 (9567) {G11,W8,D2,L2,V1,M2} R(9510,143) { ! midp( X, skol34, skol34 ), midp
% 2.65/3.05 ( X, skol27, skol27 ) }.
% 2.65/3.05 (9605) {G15,W8,D2,L2,V1,M2} R(9516,143) { ! midp( X, skol23, skol23 ), midp
% 2.65/3.05 ( X, skol34, skol34 ) }.
% 2.65/3.05 (9712) {G5,W8,D2,L2,V1,M2} R(9538,143) { ! midp( X, skol27, skol27 ), midp
% 2.65/3.05 ( X, skol20, skol20 ) }.
% 2.65/3.05 (9987) {G16,W6,D3,L1,V0,M1} R(9605,8266) { midp( skol7( skol23, skol23 ),
% 2.65/3.05 skol34, skol34 ) }.
% 2.65/3.05 (10235) {G17,W6,D3,L1,V0,M1} R(9567,9987) { midp( skol7( skol23, skol23 ),
% 2.65/3.05 skol27, skol27 ) }.
% 2.65/3.05 (10250) {G18,W6,D3,L1,V0,M1} R(10235,9712) { midp( skol7( skol23, skol23 )
% 2.65/3.05 , skol20, skol20 ) }.
% 2.65/3.05 (12189) {G15,W9,D2,L1,V3,M1} R(8724,428) { eqangle( X, X, X, X, Y, Z, Y, Z
% 2.65/3.05 ) }.
% 2.65/3.05 (12194) {G16,W9,D2,L1,V3,M1} R(12189,416) { eqangle( X, Y, Y, X, Z, Z, Z, Z
% 2.65/3.05 ) }.
% 2.65/3.05 (12201) {G17,W5,D2,L1,V2,M1} R(12194,72);r(8717) { para( Y, Z, Z, Y ) }.
% 2.65/3.05 (12202) {G18,W5,D2,L1,V2,M1} R(12201,236) { para( X, Y, X, Y ) }.
% 2.65/3.05 (12206) {G19,W8,D2,L2,V3,M2} R(12202,143) { ! midp( X, Y, Y ), midp( X, Z,
% 2.65/3.05 Z ) }.
% 2.65/3.05 (12209) {G20,W6,D3,L1,V1,M1} R(12206,10250) { midp( skol7( skol23, skol23 )
% 2.65/3.05 , X, X ) }.
% 2.65/3.05 (12597) {G14,W5,D2,L1,V0,M1} R(8216,137);f;r(7352) { cong( skol27, skol27,
% 2.65/3.05 skol27, skol27 ) }.
% 2.65/3.05 (12623) {G15,W5,D2,L1,V0,M1} R(12597,140);r(7352) { perp( skol27, skol27,
% 2.65/3.05 skol27, skol27 ) }.
% 2.65/3.05 (12635) {G16,W10,D2,L2,V2,M2} R(12623,311) { perp( X, Y, skol27, skol27 ),
% 2.65/3.05 ! para( X, Y, skol27, skol27 ) }.
% 2.65/3.05 (12652) {G16,W10,D2,L2,V2,M2} R(12623,286) { ! perp( skol27, skol27, X, Y )
% 2.65/3.05 , para( skol27, skol27, X, Y ) }.
% 2.65/3.05 (13427) {G4,W5,D2,L1,V0,M1} R(510,2476) { cong( skol34, skol27, skol34,
% 2.65/3.05 skol27 ) }.
% 2.65/3.05 (13698) {G5,W9,D2,L1,V0,M1} R(13427,46) { eqangle( skol34, skol27, skol27,
% 2.65/3.05 skol27, skol27, skol27, skol34, skol27 ) }.
% 2.65/3.05 (14489) {G6,W9,D2,L1,V0,M1} R(13698,428) { eqangle( skol27, skol34, skol27
% 2.65/3.05 , skol27, skol27, skol27, skol34, skol27 ) }.
% 2.65/3.05 (14493) {G17,W5,D2,L1,V0,M1} R(13698,71);r(12635) { perp( skol34, skol27,
% 2.65/3.05 skol27, skol27 ) }.
% 2.65/3.05 (14520) {G18,W5,D2,L1,V0,M1} R(14493,274) { perp( skol27, skol27, skol34,
% 2.65/3.05 skol27 ) }.
% 2.65/3.05 (14879) {G7,W9,D2,L1,V0,M1} R(14489,414) { eqangle( skol34, skol27, skol27
% 2.65/3.05 , skol27, skol27, skol27, skol27, skol34 ) }.
% 2.65/3.05 (14881) {G8,W9,D2,L1,V0,M1} R(14879,415) { eqangle( skol27, skol27, skol27
% 2.65/3.05 , skol34, skol27, skol34, skol27, skol27 ) }.
% 2.65/3.05 (14882) {G17,W5,D2,L1,V0,M1} R(14881,71);r(12652) { para( skol27, skol27,
% 2.65/3.05 skol27, skol34 ) }.
% 2.65/3.05 (14908) {G18,W5,D2,L1,V0,M1} R(14882,228) { para( skol27, skol34, skol27,
% 2.65/3.05 skol27 ) }.
% 2.65/3.05 (14911) {G19,W8,D2,L2,V1,M2} R(14882,64);r(14908) { ! midp( X, skol27,
% 2.65/3.05 skol27 ), midp( X, skol27, skol34 ) }.
% 2.65/3.05 (14917) {G18,W5,D2,L1,V0,M1} R(14882,3) { para( skol27, skol27, skol34,
% 2.65/3.05 skol27 ) }.
% 2.65/3.05 (14969) {G19,W8,D2,L2,V1,M2} R(14917,64);r(14917) { ! midp( X, skol27,
% 2.65/3.05 skol34 ), midp( X, skol27, skol27 ) }.
% 2.65/3.05 (14971) {G19,W9,D2,L1,V2,M1} R(14917,39) { eqangle( skol27, skol27, X, Y,
% 2.65/3.05 skol34, skol27, X, Y ) }.
% 2.65/3.05 (14972) {G20,W8,D2,L2,V2,M2} R(14969,12206) { ! midp( X, skol27, skol34 ),
% 2.65/3.05 midp( X, Y, Y ) }.
% 2.65/3.05 (15018) {G21,W8,D2,L2,V2,M2} R(14972,10) { midp( X, Y, Y ), ! midp( X,
% 2.65/3.05 skol34, skol27 ) }.
% 2.65/3.05 (15037) {G21,W6,D3,L1,V0,M1} R(14911,12209) { midp( skol7( skol23, skol23 )
% 2.65/3.05 , skol27, skol34 ) }.
% 2.65/3.05 (15078) {G22,W6,D3,L1,V0,M1} R(15037,10) { midp( skol7( skol23, skol23 ),
% 2.65/3.05 skol34, skol27 ) }.
% 2.65/3.05 (15113) {G20,W9,D2,L1,V2,M1} R(14971,428) { eqangle( skol27, skol27, skol34
% 2.65/3.05 , skol27, X, Y, X, Y ) }.
% 2.65/3.05 (15119) {G21,W9,D2,L1,V2,M1} R(15113,416) { eqangle( X, Y, Y, X, skol27,
% 2.65/3.05 skol27, skol34, skol27 ) }.
% 2.65/3.05 (15126) {G22,W5,D2,L1,V2,M1} R(15119,73);r(14520) { perp( X, Y, Y, X ) }.
% 2.65/3.05 (15163) {G23,W9,D2,L2,V3,M2} R(15126,52) { ! midp( X, Y, Y ), cong( Y, X, Z
% 2.65/3.05 , X ) }.
% 2.65/3.05 (17868) {G24,W9,D2,L2,V4,M2} R(15163,12206) { cong( X, Y, Z, Y ), ! midp( Y
% 2.65/3.05 , T, T ) }.
% 2.65/3.05 (17906) {G25,W9,D2,L2,V4,M2} R(17868,139) { ! midp( X, Y, Y ), perp( Z, T,
% 2.65/3.05 X, X ) }.
% 2.65/3.05 (17979) {G26,W9,D2,L2,V3,M2} R(17906,15018) { perp( X, Y, Z, Z ), ! midp( Z
% 2.65/3.05 , skol34, skol27 ) }.
% 2.65/3.05 (17995) {G26,W9,D2,L2,V4,M2} R(17906,275) { ! midp( X, Y, Y ), perp( X, X,
% 2.65/3.05 Z, T ) }.
% 2.65/3.05 (17998) {G27,W9,D2,L2,V3,M2} R(17995,15018) { perp( X, X, Y, Z ), ! midp( X
% 2.65/3.05 , skol34, skol27 ) }.
% 2.65/3.05 (18014) {G28,W9,D2,L2,V5,M2} R(17998,290);r(17979) { ! midp( X, skol34,
% 2.65/3.05 skol27 ), para( T, U, Y, Z ) }.
% 2.65/3.05 (18020) {G29,W5,D2,L1,V4,M1} R(18014,15078) { para( X, Y, Z, T ) }.
% 2.65/3.05 (18026) {G30,W9,D2,L1,V6,M1} R(18020,695) { eqangle( X, Y, Z, T, U, W, Z, T
% 2.65/3.05 ) }.
% 2.65/3.05 (18199) {G31,W9,D2,L1,V6,M1} R(18026,427) { eqangle( X, Y, X, Y, Z, T, U, W
% 2.65/3.05 ) }.
% 2.65/3.05 (18201) {G32,W9,D2,L1,V8,M1} R(18199,687);r(18020) { eqangle( X, Y, Z, T, U
% 2.65/3.05 , W, V0, V1 ) }.
% 2.65/3.05 (18202) {G33,W0,D0,L0,V0,M0} R(18201,7105) { }.
% 2.65/3.05
% 2.65/3.05
% 2.65/3.05 % SZS output end Refutation
% 2.65/3.05 found a proof!
% 2.65/3.05
% 2.65/3.05
% 2.65/3.05 Unprocessed initial clauses:
% 2.65/3.05
% 2.65/3.05 (18204) {G0,W8,D2,L2,V3,M2} { ! coll( X, Y, Z ), coll( X, Z, Y ) }.
% 2.65/3.05 (18205) {G0,W8,D2,L2,V3,M2} { ! coll( X, Y, Z ), coll( Y, X, Z ) }.
% 2.65/3.05 (18206) {G0,W12,D2,L3,V4,M3} { ! coll( X, T, Y ), ! coll( X, T, Z ), coll
% 2.65/3.05 ( Y, Z, X ) }.
% 2.65/3.05 (18207) {G0,W10,D2,L2,V4,M2} { ! para( X, Y, Z, T ), para( X, Y, T, Z )
% 2.65/3.05 }.
% 2.65/3.05 (18208) {G0,W10,D2,L2,V4,M2} { ! para( X, Y, Z, T ), para( Z, T, X, Y )
% 2.65/3.05 }.
% 2.65/3.05 (18209) {G0,W15,D2,L3,V6,M3} { ! para( X, Y, U, W ), ! para( U, W, Z, T )
% 2.65/3.05 , para( X, Y, Z, T ) }.
% 2.65/3.05 (18210) {G0,W10,D2,L2,V4,M2} { ! perp( X, Y, Z, T ), perp( X, Y, T, Z )
% 2.65/3.05 }.
% 2.65/3.05 (18211) {G0,W10,D2,L2,V4,M2} { ! perp( X, Y, Z, T ), perp( Z, T, X, Y )
% 2.65/3.05 }.
% 2.65/3.05 (18212) {G0,W15,D2,L3,V6,M3} { ! perp( X, Y, U, W ), ! perp( U, W, Z, T )
% 2.65/3.05 , para( X, Y, Z, T ) }.
% 2.65/3.05 (18213) {G0,W15,D2,L3,V6,M3} { ! para( X, Y, U, W ), ! perp( U, W, Z, T )
% 2.65/3.05 , perp( X, Y, Z, T ) }.
% 2.65/3.05 (18214) {G0,W8,D2,L2,V3,M2} { ! midp( Z, Y, X ), midp( Z, X, Y ) }.
% 2.65/3.05 (18215) {G0,W15,D2,L3,V4,M3} { ! cong( T, X, T, Y ), ! cong( T, X, T, Z )
% 2.65/3.05 , circle( T, X, Y, Z ) }.
% 2.65/3.05 (18216) {G0,W20,D2,L4,V5,M4} { ! cong( U, X, U, Y ), ! cong( U, X, U, Z )
% 2.65/3.05 , ! cong( U, X, U, T ), cyclic( X, Y, Z, T ) }.
% 2.65/3.05 (18217) {G0,W10,D2,L2,V4,M2} { ! cyclic( X, Y, Z, T ), cyclic( X, Y, T, Z
% 2.65/3.05 ) }.
% 2.65/3.05 (18218) {G0,W10,D2,L2,V4,M2} { ! cyclic( X, Y, Z, T ), cyclic( X, Z, Y, T
% 2.65/3.05 ) }.
% 2.65/3.05 (18219) {G0,W10,D2,L2,V4,M2} { ! cyclic( X, Y, Z, T ), cyclic( Y, X, Z, T
% 2.65/3.05 ) }.
% 2.65/3.05 (18220) {G0,W15,D2,L3,V5,M3} { ! cyclic( U, X, Y, Z ), ! cyclic( U, X, Y,
% 2.65/3.05 T ), cyclic( X, Y, Z, T ) }.
% 2.65/3.05 (18221) {G0,W18,D2,L2,V8,M2} { ! eqangle( X, Y, Z, T, U, W, V0, V1 ),
% 2.65/3.05 eqangle( Y, X, Z, T, U, W, V0, V1 ) }.
% 2.65/3.05 (18222) {G0,W18,D2,L2,V8,M2} { ! eqangle( X, Y, Z, T, U, W, V0, V1 ),
% 2.65/3.05 eqangle( Z, T, X, Y, V0, V1, U, W ) }.
% 2.65/3.05 (18223) {G0,W18,D2,L2,V8,M2} { ! eqangle( X, Y, Z, T, U, W, V0, V1 ),
% 2.65/3.05 eqangle( U, W, V0, V1, X, Y, Z, T ) }.
% 2.65/3.05 (18224) {G0,W18,D2,L2,V8,M2} { ! eqangle( X, Y, Z, T, U, W, V0, V1 ),
% 2.65/3.05 eqangle( X, Y, U, W, Z, T, V0, V1 ) }.
% 2.65/3.05 (18225) {G0,W27,D2,L3,V12,M3} { ! eqangle( X, Y, Z, T, V2, V3, V4, V5 ), !
% 2.65/3.05 eqangle( V2, V3, V4, V5, U, W, V0, V1 ), eqangle( X, Y, Z, T, U, W, V0,
% 2.65/3.05 V1 ) }.
% 2.65/3.05 (18226) {G0,W10,D2,L2,V4,M2} { ! cong( X, Y, Z, T ), cong( X, Y, T, Z )
% 2.65/3.05 }.
% 2.65/3.05 (18227) {G0,W10,D2,L2,V4,M2} { ! cong( X, Y, Z, T ), cong( Z, T, X, Y )
% 2.65/3.05 }.
% 2.65/3.05 (18228) {G0,W15,D2,L3,V6,M3} { ! cong( X, Y, U, W ), ! cong( U, W, Z, T )
% 2.65/3.05 , cong( X, Y, Z, T ) }.
% 2.65/3.05 (18229) {G0,W18,D2,L2,V8,M2} { ! eqratio( X, Y, Z, T, U, W, V0, V1 ),
% 2.65/3.05 eqratio( Y, X, Z, T, U, W, V0, V1 ) }.
% 2.65/3.05 (18230) {G0,W18,D2,L2,V8,M2} { ! eqratio( X, Y, Z, T, U, W, V0, V1 ),
% 2.65/3.05 eqratio( Z, T, X, Y, V0, V1, U, W ) }.
% 2.65/3.05 (18231) {G0,W18,D2,L2,V8,M2} { ! eqratio( X, Y, Z, T, U, W, V0, V1 ),
% 2.65/3.05 eqratio( U, W, V0, V1, X, Y, Z, T ) }.
% 2.65/3.05 (18232) {G0,W18,D2,L2,V8,M2} { ! eqratio( X, Y, Z, T, U, W, V0, V1 ),
% 2.65/3.05 eqratio( X, Y, U, W, Z, T, V0, V1 ) }.
% 2.65/3.05 (18233) {G0,W27,D2,L3,V12,M3} { ! eqratio( X, Y, Z, T, V2, V3, V4, V5 ), !
% 2.65/3.05 eqratio( V2, V3, V4, V5, U, W, V0, V1 ), eqratio( X, Y, Z, T, U, W, V0,
% 2.65/3.05 V1 ) }.
% 2.65/3.05 (18234) {G0,W14,D2,L2,V6,M2} { ! simtri( X, Z, Y, T, W, U ), simtri( X, Y
% 2.65/3.05 , Z, T, U, W ) }.
% 2.65/3.05 (18235) {G0,W14,D2,L2,V6,M2} { ! simtri( Y, X, Z, U, T, W ), simtri( X, Y
% 2.65/3.05 , Z, T, U, W ) }.
% 2.65/3.05 (18236) {G0,W14,D2,L2,V6,M2} { ! simtri( T, U, W, X, Y, Z ), simtri( X, Y
% 2.65/3.05 , Z, T, U, W ) }.
% 2.65/3.05 (18237) {G0,W21,D2,L3,V9,M3} { ! simtri( X, Y, Z, V0, V1, V2 ), ! simtri(
% 2.65/3.05 V0, V1, V2, T, U, W ), simtri( X, Y, Z, T, U, W ) }.
% 2.65/3.05 (18238) {G0,W14,D2,L2,V6,M2} { ! contri( X, Z, Y, T, W, U ), contri( X, Y
% 2.65/3.05 , Z, T, U, W ) }.
% 2.65/3.05 (18239) {G0,W14,D2,L2,V6,M2} { ! contri( Y, X, Z, U, T, W ), contri( X, Y
% 2.65/3.05 , Z, T, U, W ) }.
% 2.65/3.05 (18240) {G0,W14,D2,L2,V6,M2} { ! contri( T, U, W, X, Y, Z ), contri( X, Y
% 2.65/3.05 , Z, T, U, W ) }.
% 2.65/3.05 (18241) {G0,W21,D2,L3,V9,M3} { ! contri( X, Y, Z, V0, V1, V2 ), ! contri(
% 2.65/3.05 V0, V1, V2, T, U, W ), contri( X, Y, Z, T, U, W ) }.
% 2.65/3.05 (18242) {G0,W14,D2,L2,V6,M2} { ! eqangle( X, Y, U, W, Z, T, U, W ), para(
% 2.65/3.05 X, Y, Z, T ) }.
% 2.65/3.05 (18243) {G0,W14,D2,L2,V6,M2} { ! para( X, Y, Z, T ), eqangle( X, Y, U, W,
% 2.65/3.05 Z, T, U, W ) }.
% 2.65/3.05 (18244) {G0,W14,D2,L2,V4,M2} { ! cyclic( X, Y, Z, T ), eqangle( Z, X, Z, Y
% 2.65/3.05 , T, X, T, Y ) }.
% 2.65/3.05 (18245) {G0,W18,D2,L3,V4,M3} { ! eqangle( Z, X, Z, Y, T, X, T, Y ), coll(
% 2.65/3.05 Z, T, X ), cyclic( X, Y, Z, T ) }.
% 2.65/3.05 (18246) {G0,W18,D2,L3,V4,M3} { ! eqangle( Z, X, Z, Y, T, X, T, Y ), ! coll
% 2.65/3.05 ( Z, T, Y ), cyclic( X, Y, Z, T ) }.
% 2.65/3.05 (18247) {G0,W29,D2,L5,V6,M5} { ! cyclic( X, Y, U, Z ), ! cyclic( X, Y, U,
% 2.65/3.05 T ), ! cyclic( X, Y, U, W ), ! eqangle( U, X, U, Y, W, Z, W, T ), cong( X
% 2.65/3.05 , Y, Z, T ) }.
% 2.65/3.05 (18248) {G0,W13,D2,L3,V5,M3} { ! midp( Z, U, X ), ! midp( T, U, Y ), para
% 2.65/3.05 ( Z, T, X, Y ) }.
% 2.65/3.05 (18249) {G0,W17,D2,L4,V5,M4} { ! midp( U, X, T ), ! para( U, Z, T, Y ), !
% 2.65/3.05 coll( Z, X, Y ), midp( Z, X, Y ) }.
% 2.65/3.05 (18250) {G0,W14,D2,L2,V3,M2} { ! cong( Z, X, Z, Y ), eqangle( Z, X, X, Y,
% 2.65/3.05 X, Y, Z, Y ) }.
% 2.65/3.05 (18251) {G0,W18,D2,L3,V3,M3} { ! eqangle( Z, X, X, Y, X, Y, Z, Y ), coll(
% 2.65/3.05 Z, X, Y ), cong( Z, X, Z, Y ) }.
% 2.65/3.05 (18252) {G0,W19,D2,L3,V5,M3} { ! circle( U, X, Y, Z ), ! perp( U, X, X, T
% 2.65/3.05 ), eqangle( X, T, X, Y, Z, X, Z, Y ) }.
% 2.65/3.05 (18253) {G0,W19,D2,L3,V5,M3} { ! circle( Y, X, T, U ), ! eqangle( X, Z, X
% 2.65/3.05 , T, U, X, U, T ), perp( Y, X, X, Z ) }.
% 2.65/3.05 (18254) {G0,W18,D2,L3,V5,M3} { ! circle( T, X, Y, Z ), ! midp( U, Y, Z ),
% 2.65/3.05 eqangle( X, Y, X, Z, T, Y, T, U ) }.
% 2.65/3.05 (18255) {G0,W22,D2,L4,V5,M4} { ! circle( U, T, X, Y ), ! coll( Z, X, Y ),
% 2.65/3.05 ! eqangle( T, X, T, Y, U, X, U, Z ), midp( Z, X, Y ) }.
% 2.65/3.05 (18256) {G0,W14,D2,L3,V4,M3} { ! perp( X, Y, Y, T ), ! midp( Z, X, T ),
% 2.65/3.05 cong( X, Z, Y, Z ) }.
% 2.65/3.05 (18257) {G0,W14,D2,L3,V4,M3} { ! circle( T, X, Y, Z ), ! coll( T, X, Z ),
% 2.65/3.05 perp( X, Y, Y, Z ) }.
% 2.65/3.05 (18258) {G0,W19,D2,L3,V4,M3} { ! cyclic( X, Y, Z, T ), ! para( X, Y, Z, T
% 2.65/3.05 ), eqangle( X, T, Z, T, Z, T, Z, Y ) }.
% 2.65/3.05 (18259) {G0,W14,D2,L3,V4,M3} { ! midp( T, X, Y ), ! perp( Z, T, X, Y ),
% 2.65/3.05 cong( Z, X, Z, Y ) }.
% 2.65/3.05 (18260) {G0,W15,D2,L3,V4,M3} { ! cong( X, Z, Y, Z ), ! cong( X, T, Y, T )
% 2.65/3.05 , perp( X, Y, Z, T ) }.
% 2.65/3.05 (18261) {G0,W20,D2,L4,V4,M4} { ! cong( X, Y, T, Y ), ! cong( X, Z, T, Z )
% 2.65/3.05 , ! cyclic( X, T, Y, Z ), perp( Y, X, X, Z ) }.
% 2.65/3.05 (18262) {G0,W29,D2,L4,V6,M4} { ! eqangle( X, Y, Y, Z, T, U, U, W ), !
% 2.65/3.05 eqangle( X, Z, Y, Z, T, W, U, W ), coll( X, Y, Z ), simtri( X, Y, Z, T, U
% 2.65/3.05 , W ) }.
% 2.65/3.05 (18263) {G0,W16,D2,L2,V6,M2} { ! simtri( X, Y, Z, T, U, W ), eqratio( X, Y
% 2.65/3.05 , X, Z, T, U, T, W ) }.
% 2.65/3.05 (18264) {G0,W16,D2,L2,V6,M2} { ! simtri( X, Y, Z, T, U, W ), eqangle( X, Y
% 2.65/3.05 , Y, Z, T, U, U, W ) }.
% 2.65/3.05 (18265) {G0,W19,D2,L3,V6,M3} { ! simtri( X, Y, Z, T, U, W ), ! cong( X, Y
% 2.65/3.05 , T, U ), contri( X, Y, Z, T, U, W ) }.
% 2.65/3.05 (18266) {G0,W12,D2,L2,V6,M2} { ! contri( X, Y, U, Z, T, W ), cong( X, Y, Z
% 2.65/3.05 , T ) }.
% 2.65/3.05 (18267) {G0,W13,D2,L3,V5,M3} { ! midp( U, X, Y ), ! midp( U, Z, T ), para
% 2.65/3.05 ( X, Z, Y, T ) }.
% 2.65/3.05 (18268) {G0,W18,D2,L4,V5,M4} { ! midp( Z, T, U ), ! para( T, X, U, Y ), !
% 2.65/3.05 para( T, Y, U, X ), midp( Z, X, Y ) }.
% 2.65/3.05 (18269) {G0,W22,D2,L4,V5,M4} { ! para( X, Y, Z, T ), ! coll( U, X, Z ), !
% 2.65/3.05 coll( U, Y, T ), eqratio( U, X, X, Z, U, Y, Y, T ) }.
% 2.65/3.05 (18270) {G0,W9,D2,L2,V3,M2} { ! para( X, Y, X, Z ), coll( X, Y, Z ) }.
% 2.65/3.05 (18271) {G0,W13,D2,L3,V3,M3} { ! cong( X, Y, X, Z ), ! coll( X, Y, Z ),
% 2.65/3.05 midp( X, Y, Z ) }.
% 2.65/3.05 (18272) {G0,W9,D2,L2,V3,M2} { ! midp( X, Y, Z ), cong( X, Y, X, Z ) }.
% 2.65/3.05 (18273) {G0,W8,D2,L2,V3,M2} { ! midp( X, Y, Z ), coll( X, Y, Z ) }.
% 2.65/3.05 (18274) {G0,W17,D2,L3,V6,M3} { ! midp( U, X, Y ), ! midp( W, Z, T ),
% 2.65/3.05 eqratio( U, X, X, Y, W, Z, Z, T ) }.
% 2.65/3.05 (18275) {G0,W19,D2,L3,V4,M3} { ! eqangle( X, Y, Z, T, Z, T, X, Y ), para(
% 2.65/3.05 X, Y, Z, T ), perp( X, Y, Z, T ) }.
% 2.65/3.05 (18276) {G0,W19,D2,L3,V4,M3} { ! eqangle( X, Y, Z, T, Z, T, X, Y ), perp(
% 2.65/3.05 X, Y, Z, T ), para( X, Y, Z, T ) }.
% 2.65/3.05 (18277) {G0,W19,D2,L3,V8,M3} { ! eqangle( X, Y, Z, T, U, W, V0, V1 ), !
% 2.65/3.05 para( U, W, V0, V1 ), para( X, Y, Z, T ) }.
% 2.65/3.05 (18278) {G0,W19,D2,L3,V8,M3} { ! eqangle( X, Y, Z, T, U, W, V0, V1 ), !
% 2.65/3.05 perp( U, W, V0, V1 ), perp( X, Y, Z, T ) }.
% 2.65/3.05 (18279) {G0,W19,D2,L3,V8,M3} { ! eqratio( X, Y, Z, T, U, W, V0, V1 ), !
% 2.65/3.05 cong( U, W, V0, V1 ), cong( X, Y, Z, T ) }.
% 2.65/3.05 (18280) {G0,W22,D3,L3,V6,M3} { ! perp( Z, Y, Y, X ), ! eqangle( T, Z, Y, Z
% 2.65/3.05 , Y, Z, X, Z ), coll( skol1( U, W, Z, T ), Z, T ) }.
% 2.65/3.05 (18281) {G0,W22,D3,L3,V4,M3} { ! perp( Z, Y, Y, X ), ! eqangle( T, Z, Y, Z
% 2.65/3.05 , Y, Z, X, Z ), coll( skol1( X, Y, Z, T ), X, Y ) }.
% 2.65/3.05 (18282) {G0,W22,D3,L3,V6,M3} { ! cong( Z, X, Z, Y ), ! eqangle( X, Z, Z, T
% 2.65/3.05 , Z, T, Z, Y ), coll( skol2( U, W, Z, T ), Z, T ) }.
% 2.65/3.05 (18283) {G0,W22,D3,L3,V4,M3} { ! cong( Z, X, Z, Y ), ! eqangle( X, Z, Z, T
% 2.65/3.05 , Z, T, Z, Y ), coll( Y, X, skol2( X, Y, Z, T ) ) }.
% 2.65/3.05 (18284) {G0,W22,D3,L3,V6,M3} { ! perp( Z, T, X, Y ), ! eqangle( X, Z, Z, T
% 2.65/3.05 , Z, T, Z, Y ), coll( skol3( U, W, Z, T ), Z, T ) }.
% 2.65/3.05 (18285) {G0,W22,D3,L3,V4,M3} { ! perp( Z, T, X, Y ), ! eqangle( X, Z, Z, T
% 2.65/3.05 , Z, T, Z, Y ), coll( Y, X, skol3( X, Y, Z, T ) ) }.
% 2.65/3.05 (18286) {G0,W18,D3,L3,V6,M3} { ! perp( Z, T, X, Y ), ! cong( Z, X, Z, Y )
% 2.65/3.05 , coll( skol4( U, W, Z, T ), Z, T ) }.
% 2.65/3.05 (18287) {G0,W18,D3,L3,V4,M3} { ! perp( Z, T, X, Y ), ! cong( Z, X, Z, Y )
% 2.65/3.05 , coll( Y, X, skol4( X, Y, Z, T ) ) }.
% 2.65/3.05 (18288) {G0,W22,D3,L3,V6,M3} { ! eqangle( X, Z, Y, Z, X, T, Y, U ), coll(
% 2.65/3.05 X, Y, Z ), cyclic( T, Y, Z, skol5( W, Y, Z, T ) ) }.
% 2.65/3.05 (18289) {G0,W30,D3,L3,V5,M3} { ! eqangle( X, Z, Y, Z, X, T, Y, U ), coll(
% 2.65/3.05 X, Y, Z ), eqangle( X, Z, Y, Z, X, skol5( X, Y, Z, T ), Y, skol5( X, Y, Z
% 2.65/3.05 , T ) ) }.
% 2.65/3.05 (18290) {G0,W18,D3,L3,V10,M3} { ! midp( U, X, Y ), ! midp( W, Z, T ), midp
% 2.65/3.05 ( skol6( X, V0, V1, T, V2, V3 ), X, T ) }.
% 2.65/3.05 (18291) {G0,W19,D3,L3,V8,M3} { ! midp( U, X, Y ), ! midp( W, Z, T ), para
% 2.65/3.05 ( skol6( X, V0, Z, T, V1, W ), W, X, Z ) }.
% 2.65/3.05 (18292) {G0,W19,D3,L3,V6,M3} { ! midp( U, X, Y ), ! midp( W, Z, T ), para
% 2.65/3.05 ( skol6( X, Y, Z, T, U, W ), U, Y, T ) }.
% 2.65/3.05 (18293) {G0,W22,D3,L5,V7,M5} { ! midp( Z, X, Y ), ! midp( W, T, U ), !
% 2.65/3.05 coll( T, X, Y ), ! coll( U, X, Y ), midp( skol7( X, V0 ), X, V0 ) }.
% 2.65/3.05 (18294) {G0,W26,D3,L5,V8,M5} { ! midp( T, X, U ), ! para( X, W, Z, T ), !
% 2.65/3.05 para( X, W, U, Y ), ! coll( W, Y, Z ), coll( skol8( V0, V1, Z, T ), T, Z
% 2.65/3.05 ) }.
% 2.65/3.05 (18295) {G0,W26,D3,L5,V6,M5} { ! midp( T, X, U ), ! para( X, W, Z, T ), !
% 2.65/3.05 para( X, W, U, Y ), ! coll( W, Y, Z ), coll( skol8( X, Y, Z, T ), X, Y )
% 2.65/3.05 }.
% 2.65/3.05 (18296) {G0,W19,D3,L3,V7,M3} { ! cong( T, Z, T, U ), ! perp( X, Y, Y, T )
% 2.65/3.05 , cong( T, Z, T, skol9( W, V0, Z, T ) ) }.
% 2.65/3.05 (18297) {G0,W19,D3,L3,V6,M3} { ! cong( T, Z, T, U ), ! perp( X, Y, Y, T )
% 2.65/3.05 , cong( Y, Z, Y, skol9( W, Y, Z, T ) ) }.
% 2.65/3.05 (18298) {G0,W19,D3,L3,V5,M3} { ! cong( T, Z, T, U ), ! perp( X, Y, Y, T )
% 2.65/3.05 , para( skol9( X, Y, Z, T ), Z, X, Y ) }.
% 2.65/3.05 (18299) {G0,W17,D3,L3,V5,M3} { ! perp( X, T, Y, Z ), ! perp( Y, T, X, Z )
% 2.65/3.05 , coll( skol10( U, Y, Z ), Z, Y ) }.
% 2.65/3.05 (18300) {G0,W18,D3,L3,V4,M3} { ! perp( X, T, Y, Z ), ! perp( Y, T, X, Z )
% 2.65/3.05 , perp( X, skol10( X, Y, Z ), Z, Y ) }.
% 2.65/3.05 (18301) {G0,W14,D2,L3,V4,M3} { ! perp( X, T, Y, Z ), ! perp( Y, T, X, Z )
% 2.65/3.05 , alpha1( X, Y, Z ) }.
% 2.65/3.05 (18302) {G0,W11,D3,L2,V4,M2} { ! alpha1( X, Y, Z ), coll( skol11( X, T, Z
% 2.65/3.05 ), Z, X ) }.
% 2.65/3.05 (18303) {G0,W12,D3,L2,V3,M2} { ! alpha1( X, Y, Z ), perp( Y, skol11( X, Y
% 2.65/3.05 , Z ), Z, X ) }.
% 2.65/3.05 (18304) {G0,W13,D2,L3,V4,M3} { ! coll( T, Z, X ), ! perp( Y, T, Z, X ),
% 2.65/3.05 alpha1( X, Y, Z ) }.
% 2.65/3.05 (18305) {G0,W12,D3,L2,V4,M2} { ! circle( Y, X, Z, T ), perp( skol12( X, Y
% 2.65/3.05 ), X, X, Y ) }.
% 2.65/3.05 (18306) {G0,W28,D3,L5,V8,M5} { ! circle( W, X, Y, Z ), ! cong( W, X, W, T
% 2.65/3.05 ), ! cong( U, X, U, Y ), W = U, alpha2( X, Z, U, skol13( X, V0, Z, V1, U
% 2.65/3.05 ) ) }.
% 2.65/3.05 (18307) {G0,W26,D3,L5,V8,M5} { ! circle( W, X, Y, Z ), ! cong( W, X, W, T
% 2.65/3.05 ), ! cong( U, X, U, Y ), W = U, coll( skol21( V0, Y, T, V1 ), Y, T ) }.
% 2.65/3.05 (18308) {G0,W27,D3,L5,V6,M5} { ! circle( W, X, Y, Z ), ! cong( W, X, W, T
% 2.65/3.05 ), ! cong( U, X, U, Y ), W = U, cong( skol21( X, Y, T, U ), U, U, X )
% 2.65/3.05 }.
% 2.65/3.05 (18309) {G0,W9,D2,L2,V4,M2} { ! alpha2( X, Y, Z, T ), coll( T, X, Y ) }.
% 2.65/3.05 (18310) {G0,W10,D2,L2,V4,M2} { ! alpha2( X, Y, Z, T ), cong( T, Z, Z, X )
% 2.65/3.05 }.
% 2.65/3.05 (18311) {G0,W14,D2,L3,V4,M3} { ! coll( T, X, Y ), ! cong( T, Z, Z, X ),
% 2.65/3.05 alpha2( X, Y, Z, T ) }.
% 2.65/3.05 (18312) {G0,W22,D3,L4,V5,M4} { ! cyclic( X, Y, Z, T ), ! para( X, Y, Z, T
% 2.65/3.05 ), ! midp( U, X, Y ), circle( skol14( X, Y, Z ), X, Y, Z ) }.
% 2.65/3.05 (18313) {G0,W18,D3,L3,V4,M3} { ! perp( X, Z, Z, Y ), ! cyclic( X, Y, Z, T
% 2.65/3.05 ), circle( skol15( X, Y, Z ), X, Y, Z ) }.
% 2.65/3.05 (18314) {G0,W16,D3,L3,V6,M3} { ! perp( X, U, U, T ), ! coll( T, Y, Z ),
% 2.65/3.05 coll( skol16( W, Y, Z ), Y, Z ) }.
% 2.65/3.05 (18315) {G0,W17,D3,L3,V5,M3} { ! perp( X, U, U, T ), ! coll( T, Y, Z ),
% 2.65/3.05 perp( skol16( X, Y, Z ), X, Y, Z ) }.
% 2.65/3.05 (18316) {G0,W20,D3,L4,V5,M4} { ! perp( X, Z, X, Y ), ! perp( Y, X, Y, T )
% 2.65/3.05 , ! midp( U, Z, T ), midp( skol17( X, Y ), X, Y ) }.
% 2.65/3.05 (18317) {G0,W16,D3,L3,V3,M3} { ! cong( Y, X, Y, Z ), ! perp( X, Y, Y, Z )
% 2.65/3.05 , coll( X, Y, skol18( X, Y ) ) }.
% 2.65/3.05 (18318) {G0,W17,D3,L3,V3,M3} { ! cong( Y, X, Y, Z ), ! perp( X, Y, Y, Z )
% 2.65/3.05 , cong( Y, X, Y, skol18( X, Y ) ) }.
% 2.65/3.05 (18319) {G0,W25,D3,L5,V8,M5} { ! para( U, W, X, Y ), ! coll( Z, U, X ), !
% 2.65/3.05 coll( Z, W, Y ), ! coll( T, U, W ), coll( Z, T, skol19( V0, V1, Z, T ) )
% 2.65/3.05 }.
% 2.65/3.05 (18320) {G0,W25,D3,L5,V6,M5} { ! para( U, W, X, Y ), ! coll( Z, U, X ), !
% 2.65/3.05 coll( Z, W, Y ), ! coll( T, U, W ), coll( skol19( X, Y, Z, T ), X, Y )
% 2.65/3.05 }.
% 2.65/3.05 (18321) {G0,W5,D2,L1,V0,M1} { circle( skol20, skol27, skol28, skol29 ) }.
% 2.65/3.05 (18322) {G0,W5,D2,L1,V0,M1} { circle( skol22, skol27, skol30, skol31 ) }.
% 2.65/3.05 (18323) {G0,W5,D2,L1,V0,M1} { circle( skol20, skol27, skol23, skol32 ) }.
% 2.65/3.05 (18324) {G0,W5,D2,L1,V0,M1} { circle( skol22, skol27, skol23, skol33 ) }.
% 2.65/3.05 (18325) {G0,W4,D2,L1,V0,M1} { midp( skol34, skol23, skol27 ) }.
% 2.65/3.05 (18326) {G0,W5,D2,L1,V0,M1} { circle( skol20, skol27, skol24, skol35 ) }.
% 2.65/3.05 (18327) {G0,W5,D2,L1,V0,M1} { circle( skol22, skol27, skol25, skol36 ) }.
% 2.65/3.05 (18328) {G0,W4,D2,L1,V0,M1} { coll( skol25, skol27, skol24 ) }.
% 2.65/3.05 (18329) {G0,W4,D2,L1,V0,M1} { coll( skol26, skol20, skol24 ) }.
% 2.65/3.05 (18330) {G0,W4,D2,L1,V0,M1} { coll( skol26, skol22, skol25 ) }.
% 2.65/3.05 (18331) {G0,W9,D2,L1,V0,M1} { ! eqangle( skol24, skol23, skol23, skol25,
% 2.65/3.05 skol20, skol26, skol26, skol22 ) }.
% 2.65/3.05
% 2.65/3.05
% 2.65/3.05 Total Proof:
% 2.65/3.05
% 2.65/3.05 subsumption: (0) {G0,W8,D2,L2,V3,M2} I { ! coll( X, Y, Z ), coll( X, Z, Y )
% 2.65/3.05 }.
% 2.65/3.05 parent0: (18204) {G0,W8,D2,L2,V3,M2} { ! coll( X, Y, Z ), coll( X, Z, Y )
% 2.65/3.05 }.
% 2.65/3.05 substitution0:
% 2.65/3.05 X := X
% 2.65/3.05 Y := Y
% 2.65/3.05 Z := Z
% 2.65/3.05 end
% 2.65/3.05 permutation0:
% 2.65/3.05 0 ==> 0
% 2.65/3.05 1 ==> 1
% 2.65/3.05 end
% 2.65/3.05
% 2.65/3.05 subsumption: (1) {G0,W8,D2,L2,V3,M2} I { ! coll( X, Y, Z ), coll( Y, X, Z )
% 2.65/3.05 }.
% 2.65/3.05 parent0: (18205) {G0,W8,D2,L2,V3,M2} { ! coll( X, Y, Z ), coll( Y, X, Z )
% 2.65/3.05 }.
% 2.65/3.05 substitution0:
% 2.65/3.05 X := X
% 2.65/3.05 Y := Y
% 2.65/3.05 Z := Z
% 2.65/3.05 end
% 2.65/3.05 permutation0:
% 2.65/3.05 0 ==> 0
% 2.65/3.05 1 ==> 1
% 2.65/3.05 end
% 2.65/3.05
% 2.65/3.05 subsumption: (2) {G0,W12,D2,L3,V4,M3} I { ! coll( X, T, Y ), ! coll( X, T,
% 2.65/3.05 Z ), coll( Y, Z, X ) }.
% 2.65/3.05 parent0: (18206) {G0,W12,D2,L3,V4,M3} { ! coll( X, T, Y ), ! coll( X, T, Z
% 2.65/3.05 ), coll( Y, Z, X ) }.
% 2.65/3.05 substitution0:
% 2.65/3.05 X := X
% 2.65/3.05 Y := Y
% 2.65/3.05 Z := Z
% 2.65/3.05 T := T
% 2.65/3.05 end
% 2.65/3.05 permutation0:
% 2.65/3.05 0 ==> 0
% 2.65/3.05 1 ==> 1
% 2.65/3.05 2 ==> 2
% 2.65/3.05 end
% 2.65/3.05
% 2.65/3.05 subsumption: (3) {G0,W10,D2,L2,V4,M2} I { ! para( X, Y, Z, T ), para( X, Y
% 2.65/3.05 , T, Z ) }.
% 2.65/3.05 parent0: (18207) {G0,W10,D2,L2,V4,M2} { ! para( X, Y, Z, T ), para( X, Y,
% 2.65/3.05 T, Z ) }.
% 2.65/3.05 substitution0:
% 2.65/3.05 X := X
% 2.65/3.05 Y := Y
% 2.65/3.05 Z := Z
% 2.65/3.05 T := T
% 2.65/3.05 end
% 2.65/3.05 permutation0:
% 2.65/3.05 0 ==> 0
% 2.65/3.05 1 ==> 1
% 2.65/3.05 end
% 2.65/3.05
% 2.65/3.05 subsumption: (4) {G0,W10,D2,L2,V4,M2} I { ! para( X, Y, Z, T ), para( Z, T
% 2.65/3.05 , X, Y ) }.
% 2.65/3.05 parent0: (18208) {G0,W10,D2,L2,V4,M2} { ! para( X, Y, Z, T ), para( Z, T,
% 2.65/3.05 X, Y ) }.
% 2.65/3.05 substitution0:
% 2.65/3.05 X := X
% 2.65/3.05 Y := Y
% 2.65/3.05 Z := Z
% 2.65/3.05 T := T
% 2.65/3.05 end
% 2.65/3.05 permutation0:
% 2.65/3.05 0 ==> 0
% 2.65/3.05 1 ==> 1
% 2.65/3.05 end
% 2.65/3.05
% 2.65/3.05 subsumption: (5) {G0,W15,D2,L3,V6,M3} I { ! para( X, Y, U, W ), ! para( U,
% 2.65/3.05 W, Z, T ), para( X, Y, Z, T ) }.
% 2.65/3.05 parent0: (18209) {G0,W15,D2,L3,V6,M3} { ! para( X, Y, U, W ), ! para( U, W
% 2.65/3.05 , Z, T ), para( X, Y, Z, T ) }.
% 2.65/3.05 substitution0:
% 2.65/3.05 X := X
% 2.65/3.05 Y := Y
% 2.65/3.05 Z := Z
% 2.65/3.05 T := T
% 2.65/3.05 U := U
% 2.65/3.05 W := W
% 2.65/3.05 end
% 2.65/3.05 permutation0:
% 2.65/3.05 0 ==> 0
% 2.65/3.05 1 ==> 1
% 2.65/3.05 2 ==> 2
% 2.65/3.05 end
% 2.65/3.05
% 2.65/3.05 subsumption: (6) {G0,W10,D2,L2,V4,M2} I { ! perp( X, Y, Z, T ), perp( X, Y
% 2.65/3.05 , T, Z ) }.
% 2.65/3.05 parent0: (18210) {G0,W10,D2,L2,V4,M2} { ! perp( X, Y, Z, T ), perp( X, Y,
% 2.65/3.05 T, Z ) }.
% 2.65/3.05 substitution0:
% 2.65/3.05 X := X
% 2.65/3.05 Y := Y
% 2.65/3.05 Z := Z
% 2.65/3.05 T := T
% 2.65/3.05 end
% 2.65/3.05 permutation0:
% 2.65/3.05 0 ==> 0
% 2.65/3.05 1 ==> 1
% 2.65/3.05 end
% 2.65/3.05
% 2.65/3.05 subsumption: (7) {G0,W10,D2,L2,V4,M2} I { ! perp( X, Y, Z, T ), perp( Z, T
% 2.65/3.05 , X, Y ) }.
% 2.65/3.05 parent0: (18211) {G0,W10,D2,L2,V4,M2} { ! perp( X, Y, Z, T ), perp( Z, T,
% 2.65/3.05 X, Y ) }.
% 2.65/3.05 substitution0:
% 2.65/3.05 X := X
% 2.65/3.05 Y := Y
% 2.65/3.05 Z := Z
% 2.65/3.05 T := T
% 2.65/3.05 end
% 2.65/3.05 permutation0:
% 2.65/3.05 0 ==> 0
% 2.65/3.05 1 ==> 1
% 2.65/3.05 end
% 2.65/3.05
% 2.65/3.05 subsumption: (8) {G0,W15,D2,L3,V6,M3} I { ! perp( X, Y, U, W ), ! perp( U,
% 2.65/3.05 W, Z, T ), para( X, Y, Z, T ) }.
% 2.65/3.05 parent0: (18212) {G0,W15,D2,L3,V6,M3} { ! perp( X, Y, U, W ), ! perp( U, W
% 2.65/3.05 , Z, T ), para( X, Y, Z, T ) }.
% 2.65/3.05 substitution0:
% 2.65/3.05 X := X
% 2.65/3.05 Y := Y
% 2.65/3.05 Z := Z
% 2.65/3.05 T := T
% 2.65/3.05 U := U
% 2.65/3.05 W := W
% 2.65/3.05 end
% 2.65/3.05 permutation0:
% 2.65/3.05 0 ==> 0
% 2.65/3.05 1 ==> 1
% 2.65/3.05 2 ==> 2
% 2.65/3.05 end
% 2.65/3.05
% 2.65/3.05 subsumption: (9) {G0,W15,D2,L3,V6,M3} I { ! para( X, Y, U, W ), ! perp( U,
% 2.65/3.05 W, Z, T ), perp( X, Y, Z, T ) }.
% 2.65/3.05 parent0: (18213) {G0,W15,D2,L3,V6,M3} { ! para( X, Y, U, W ), ! perp( U, W
% 2.65/3.05 , Z, T ), perp( X, Y, Z, T ) }.
% 2.65/3.05 substitution0:
% 2.65/3.05 X := X
% 2.65/3.05 Y := Y
% 2.65/3.05 Z := Z
% 2.65/3.05 T := T
% 2.65/3.05 U := U
% 2.65/3.05 W := W
% 2.65/3.05 end
% 2.65/3.05 permutation0:
% 2.65/3.05 0 ==> 0
% 2.65/3.05 1 ==> 1
% 2.65/3.05 2 ==> 2
% 2.65/3.05 end
% 2.65/3.05
% 2.65/3.05 subsumption: (10) {G0,W8,D2,L2,V3,M2} I { ! midp( Z, Y, X ), midp( Z, X, Y
% 2.65/3.05 ) }.
% 2.65/3.05 parent0: (18214) {G0,W8,D2,L2,V3,M2} { ! midp( Z, Y, X ), midp( Z, X, Y )
% 2.65/3.05 }.
% 2.65/3.05 substitution0:
% 2.65/3.05 X := X
% 2.65/3.05 Y := Y
% 2.65/3.05 Z := Z
% 2.65/3.05 end
% 2.65/3.05 permutation0:
% 2.65/3.05 0 ==> 0
% 2.65/3.05 1 ==> 1
% 2.65/3.05 end
% 2.65/3.05
% 2.65/3.05 subsumption: (11) {G0,W15,D2,L3,V4,M3} I { ! cong( T, X, T, Y ), ! cong( T
% 2.65/3.05 , X, T, Z ), circle( T, X, Y, Z ) }.
% 2.65/3.05 parent0: (18215) {G0,W15,D2,L3,V4,M3} { ! cong( T, X, T, Y ), ! cong( T, X
% 2.65/3.05 , T, Z ), circle( T, X, Y, Z ) }.
% 2.65/3.05 substitution0:
% 2.65/3.05 X := X
% 2.65/3.05 Y := Y
% 2.65/3.05 Z := Z
% 2.65/3.05 T := T
% 2.65/3.05 end
% 2.65/3.05 permutation0:
% 2.65/3.05 0 ==> 0
% 2.65/3.05 1 ==> 1
% 2.65/3.05 2 ==> 2
% 2.65/3.05 end
% 2.65/3.05
% 2.65/3.05 subsumption: (12) {G0,W20,D2,L4,V5,M4} I { ! cong( U, X, U, Y ), ! cong( U
% 2.65/3.05 , X, U, Z ), ! cong( U, X, U, T ), cyclic( X, Y, Z, T ) }.
% 2.65/3.05 parent0: (18216) {G0,W20,D2,L4,V5,M4} { ! cong( U, X, U, Y ), ! cong( U, X
% 2.65/3.05 , U, Z ), ! cong( U, X, U, T ), cyclic( X, Y, Z, T ) }.
% 2.65/3.05 substitution0:
% 2.65/3.05 X := X
% 2.65/3.05 Y := Y
% 2.65/3.05 Z := Z
% 2.65/3.05 T := T
% 2.65/3.05 U := U
% 2.65/3.05 end
% 2.65/3.05 permutation0:
% 2.65/3.05 0 ==> 0
% 2.65/3.05 1 ==> 1
% 2.65/3.05 2 ==> 2
% 2.65/3.05 3 ==> 3
% 2.65/3.05 end
% 2.65/3.05
% 2.65/3.05 subsumption: (16) {G0,W15,D2,L3,V5,M3} I { ! cyclic( U, X, Y, Z ), ! cyclic
% 2.65/3.05 ( U, X, Y, T ), cyclic( X, Y, Z, T ) }.
% 2.65/3.05 parent0: (18220) {G0,W15,D2,L3,V5,M3} { ! cyclic( U, X, Y, Z ), ! cyclic(
% 2.65/3.05 U, X, Y, T ), cyclic( X, Y, Z, T ) }.
% 2.65/3.05 substitution0:
% 2.65/3.05 X := X
% 2.65/3.05 Y := Y
% 2.65/3.05 Z := Z
% 2.65/3.05 T := T
% 2.65/3.05 U := U
% 2.65/3.05 end
% 2.65/3.05 permutation0:
% 2.65/3.05 0 ==> 0
% 2.65/3.05 1 ==> 1
% 2.65/3.05 2 ==> 2
% 2.65/3.05 end
% 2.65/3.05
% 2.65/3.05 subsumption: (17) {G0,W18,D2,L2,V8,M2} I { ! eqangle( X, Y, Z, T, U, W, V0
% 2.65/3.05 , V1 ), eqangle( Y, X, Z, T, U, W, V0, V1 ) }.
% 2.65/3.05 parent0: (18221) {G0,W18,D2,L2,V8,M2} { ! eqangle( X, Y, Z, T, U, W, V0,
% 2.65/3.05 V1 ), eqangle( Y, X, Z, T, U, W, V0, V1 ) }.
% 2.65/3.05 substitution0:
% 2.65/3.05 X := X
% 2.65/3.05 Y := Y
% 2.65/3.05 Z := Z
% 2.65/3.05 T := T
% 2.65/3.05 U := U
% 2.65/3.05 W := W
% 2.65/3.05 V0 := V0
% 2.65/3.05 V1 := V1
% 2.65/3.05 end
% 2.65/3.05 permutation0:
% 2.65/3.05 0 ==> 0
% 2.65/3.05 1 ==> 1
% 2.65/3.05 end
% 2.65/3.05
% 2.65/3.05 subsumption: (18) {G0,W18,D2,L2,V8,M2} I { ! eqangle( X, Y, Z, T, U, W, V0
% 2.65/3.05 , V1 ), eqangle( Z, T, X, Y, V0, V1, U, W ) }.
% 2.65/3.05 parent0: (18222) {G0,W18,D2,L2,V8,M2} { ! eqangle( X, Y, Z, T, U, W, V0,
% 2.65/3.05 V1 ), eqangle( Z, T, X, Y, V0, V1, U, W ) }.
% 2.65/3.05 substitution0:
% 2.65/3.05 X := X
% 2.65/3.05 Y := Y
% 2.65/3.05 Z := Z
% 2.65/3.05 T := T
% 2.65/3.05 U := U
% 2.65/3.05 W := W
% 2.65/3.05 V0 := V0
% 2.65/3.05 V1 := V1
% 2.65/3.05 end
% 2.65/3.05 permutation0:
% 2.65/3.05 0 ==> 0
% 2.65/3.05 1 ==> 1
% 2.65/3.05 end
% 2.65/3.05
% 2.65/3.05 subsumption: (19) {G0,W18,D2,L2,V8,M2} I { ! eqangle( X, Y, Z, T, U, W, V0
% 2.65/3.05 , V1 ), eqangle( U, W, V0, V1, X, Y, Z, T ) }.
% 2.65/3.05 parent0: (18223) {G0,W18,D2,L2,V8,M2} { ! eqangle( X, Y, Z, T, U, W, V0,
% 2.65/3.05 V1 ), eqangle( U, W, V0, V1, X, Y, Z, T ) }.
% 2.65/3.05 substitution0:
% 2.65/3.05 X := X
% 2.65/3.05 Y := Y
% 2.65/3.05 Z := Z
% 2.65/3.05 T := T
% 2.65/3.05 U := U
% 2.65/3.05 W := W
% 2.65/3.05 V0 := V0
% 2.65/3.05 V1 := V1
% 2.65/3.05 end
% 2.65/3.05 permutation0:
% 2.65/3.05 0 ==> 0
% 2.65/3.05 1 ==> 1
% 2.65/3.05 end
% 2.65/3.05
% 2.65/3.05 subsumption: (20) {G0,W18,D2,L2,V8,M2} I { ! eqangle( X, Y, Z, T, U, W, V0
% 2.65/3.05 , V1 ), eqangle( X, Y, U, W, Z, T, V0, V1 ) }.
% 2.65/3.05 parent0: (18224) {G0,W18,D2,L2,V8,M2} { ! eqangle( X, Y, Z, T, U, W, V0,
% 2.65/3.05 V1 ), eqangle( X, Y, U, W, Z, T, V0, V1 ) }.
% 2.65/3.05 substitution0:
% 2.65/3.05 X := X
% 2.65/3.05 Y := Y
% 2.65/3.05 Z := Z
% 2.65/3.05 T := T
% 2.65/3.05 U := U
% 2.65/3.05 W := W
% 2.65/3.05 V0 := V0
% 2.65/3.05 V1 := V1
% 2.65/3.05 end
% 2.65/3.05 permutation0:
% 2.65/3.05 0 ==> 0
% 2.65/3.05 1 ==> 1
% 2.65/3.05 end
% 2.65/3.05
% 2.65/3.05 subsumption: (21) {G0,W27,D2,L3,V12,M3} I { ! eqangle( X, Y, Z, T, V2, V3,
% 2.65/3.05 V4, V5 ), ! eqangle( V2, V3, V4, V5, U, W, V0, V1 ), eqangle( X, Y, Z, T
% 2.65/3.05 , U, W, V0, V1 ) }.
% 2.65/3.05 parent0: (18225) {G0,W27,D2,L3,V12,M3} { ! eqangle( X, Y, Z, T, V2, V3, V4
% 2.65/3.05 , V5 ), ! eqangle( V2, V3, V4, V5, U, W, V0, V1 ), eqangle( X, Y, Z, T, U
% 2.65/3.05 , W, V0, V1 ) }.
% 2.65/3.05 substitution0:
% 2.65/3.05 X := X
% 2.65/3.05 Y := Y
% 2.65/3.05 Z := Z
% 2.65/3.05 T := T
% 2.65/3.05 U := U
% 2.65/3.05 W := W
% 2.65/3.05 V0 := V0
% 2.65/3.05 V1 := V1
% 2.65/3.05 V2 := V2
% 2.65/3.05 V3 := V3
% 2.65/3.05 V4 := V4
% 2.65/3.05 V5 := V5
% 2.65/3.05 end
% 2.65/3.05 permutation0:
% 2.65/3.05 0 ==> 0
% 2.65/3.05 1 ==> 1
% 2.65/3.05 2 ==> 2
% 2.65/3.05 end
% 2.65/3.05
% 2.65/3.05 subsumption: (22) {G0,W10,D2,L2,V4,M2} I { ! cong( X, Y, Z, T ), cong( X, Y
% 2.65/3.05 , T, Z ) }.
% 2.65/3.05 parent0: (18226) {G0,W10,D2,L2,V4,M2} { ! cong( X, Y, Z, T ), cong( X, Y,
% 2.65/3.05 T, Z ) }.
% 2.65/3.05 substitution0:
% 2.65/3.05 X := X
% 2.65/3.05 Y := Y
% 2.65/3.05 Z := Z
% 2.65/3.05 T := T
% 2.65/3.05 end
% 2.65/3.05 permutation0:
% 2.65/3.05 0 ==> 0
% 2.65/3.05 1 ==> 1
% 2.65/3.05 end
% 2.65/3.05
% 2.65/3.05 subsumption: (23) {G0,W10,D2,L2,V4,M2} I { ! cong( X, Y, Z, T ), cong( Z, T
% 2.65/3.05 , X, Y ) }.
% 2.65/3.05 parent0: (18227) {G0,W10,D2,L2,V4,M2} { ! cong( X, Y, Z, T ), cong( Z, T,
% 2.65/3.05 X, Y ) }.
% 2.65/3.05 substitution0:
% 2.65/3.05 X := X
% 2.65/3.05 Y := Y
% 2.65/3.05 Z := Z
% 2.65/3.05 T := T
% 2.65/3.05 end
% 2.65/3.05 permutation0:
% 2.65/3.05 0 ==> 0
% 2.65/3.05 1 ==> 1
% 2.65/3.05 end
% 2.65/3.05
% 2.65/3.05 subsumption: (24) {G0,W15,D2,L3,V6,M3} I { ! cong( X, Y, U, W ), ! cong( U
% 2.65/3.05 , W, Z, T ), cong( X, Y, Z, T ) }.
% 2.65/3.05 parent0: (18228) {G0,W15,D2,L3,V6,M3} { ! cong( X, Y, U, W ), ! cong( U, W
% 2.65/3.05 , Z, T ), cong( X, Y, Z, T ) }.
% 2.65/3.05 substitution0:
% 2.65/3.05 X := X
% 2.65/3.05 Y := Y
% 2.65/3.05 Z := Z
% 2.65/3.05 T := T
% 2.65/3.05 U := U
% 2.65/3.05 W := W
% 2.65/3.05 end
% 2.65/3.05 permutation0:
% 2.65/3.05 0 ==> 0
% 2.65/3.05 1 ==> 1
% 2.65/3.05 2 ==> 2
% 2.65/3.05 end
% 2.65/3.05
% 2.65/3.05 subsumption: (39) {G0,W14,D2,L2,V6,M2} I { ! para( X, Y, Z, T ), eqangle( X
% 2.65/3.05 , Y, U, W, Z, T, U, W ) }.
% 2.65/3.05 parent0: (18243) {G0,W14,D2,L2,V6,M2} { ! para( X, Y, Z, T ), eqangle( X,
% 2.65/3.05 Y, U, W, Z, T, U, W ) }.
% 2.65/3.05 substitution0:
% 2.65/3.05 X := X
% 2.65/3.05 Y := Y
% 2.65/3.05 Z := Z
% 2.65/3.05 T := T
% 2.65/3.05 U := U
% 2.65/3.05 W := W
% 2.65/3.05 end
% 2.65/3.05 permutation0:
% 2.65/3.05 0 ==> 0
% 2.65/3.05 1 ==> 1
% 2.65/3.05 end
% 2.65/3.05
% 2.65/3.05 subsumption: (43) {G0,W29,D2,L5,V6,M5} I { ! cyclic( X, Y, U, Z ), ! cyclic
% 2.65/3.05 ( X, Y, U, T ), ! cyclic( X, Y, U, W ), ! eqangle( U, X, U, Y, W, Z, W, T
% 2.65/3.05 ), cong( X, Y, Z, T ) }.
% 2.65/3.05 parent0: (18247) {G0,W29,D2,L5,V6,M5} { ! cyclic( X, Y, U, Z ), ! cyclic(
% 2.65/3.05 X, Y, U, T ), ! cyclic( X, Y, U, W ), ! eqangle( U, X, U, Y, W, Z, W, T )
% 2.65/3.05 , cong( X, Y, Z, T ) }.
% 2.65/3.05 substitution0:
% 2.65/3.05 X := X
% 2.65/3.05 Y := Y
% 2.65/3.05 Z := Z
% 2.65/3.05 T := T
% 2.65/3.05 U := U
% 2.65/3.05 W := W
% 2.65/3.05 end
% 2.65/3.05 permutation0:
% 2.65/3.05 0 ==> 0
% 2.65/3.05 1 ==> 1
% 2.65/3.05 2 ==> 2
% 2.65/3.05 3 ==> 3
% 2.65/3.05 4 ==> 4
% 2.65/3.05 end
% 2.65/3.05
% 2.65/3.05 subsumption: (46) {G0,W14,D2,L2,V3,M2} I { ! cong( Z, X, Z, Y ), eqangle( Z
% 2.65/3.05 , X, X, Y, X, Y, Z, Y ) }.
% 2.65/3.05 parent0: (18250) {G0,W14,D2,L2,V3,M2} { ! cong( Z, X, Z, Y ), eqangle( Z,
% 2.65/3.05 X, X, Y, X, Y, Z, Y ) }.
% 2.65/3.05 substitution0:
% 2.65/3.05 X := X
% 2.65/3.05 Y := Y
% 2.65/3.05 Z := Z
% 2.65/3.05 end
% 2.65/3.05 permutation0:
% 2.65/3.05 0 ==> 0
% 2.65/3.05 1 ==> 1
% 2.65/3.05 end
% 2.65/3.05
% 2.65/3.05 subsumption: (52) {G0,W14,D2,L3,V4,M3} I { ! perp( X, Y, Y, T ), ! midp( Z
% 2.65/3.05 , X, T ), cong( X, Z, Y, Z ) }.
% 2.65/3.05 parent0: (18256) {G0,W14,D2,L3,V4,M3} { ! perp( X, Y, Y, T ), ! midp( Z, X
% 2.65/3.05 , T ), cong( X, Z, Y, Z ) }.
% 2.65/3.05 substitution0:
% 2.65/3.05 X := X
% 2.65/3.05 Y := Y
% 2.65/3.05 Z := Z
% 2.65/3.05 T := T
% 2.65/3.05 end
% 2.65/3.05 permutation0:
% 2.65/3.05 0 ==> 0
% 2.65/3.05 1 ==> 1
% 2.65/3.05 2 ==> 2
% 2.65/3.05 end
% 2.65/3.05
% 2.65/3.05 subsumption: (56) {G0,W15,D2,L3,V4,M3} I { ! cong( X, Z, Y, Z ), ! cong( X
% 2.65/3.05 , T, Y, T ), perp( X, Y, Z, T ) }.
% 2.65/3.05 parent0: (18260) {G0,W15,D2,L3,V4,M3} { ! cong( X, Z, Y, Z ), ! cong( X, T
% 2.65/3.05 , Y, T ), perp( X, Y, Z, T ) }.
% 2.65/3.05 substitution0:
% 2.65/3.05 X := X
% 2.65/3.05 Y := Y
% 2.65/3.05 Z := Z
% 2.65/3.05 T := T
% 2.65/3.05 end
% 2.65/3.05 permutation0:
% 2.65/3.05 0 ==> 0
% 2.65/3.05 1 ==> 1
% 2.65/3.05 2 ==> 2
% 2.65/3.05 end
% 2.65/3.05
% 2.65/3.05 subsumption: (57) {G0,W20,D2,L4,V4,M4} I { ! cong( X, Y, T, Y ), ! cong( X
% 2.65/3.05 , Z, T, Z ), ! cyclic( X, T, Y, Z ), perp( Y, X, X, Z ) }.
% 2.65/3.05 parent0: (18261) {G0,W20,D2,L4,V4,M4} { ! cong( X, Y, T, Y ), ! cong( X, Z
% 2.65/3.05 , T, Z ), ! cyclic( X, T, Y, Z ), perp( Y, X, X, Z ) }.
% 2.65/3.05 substitution0:
% 2.65/3.05 X := X
% 2.65/3.05 Y := Y
% 2.65/3.05 Z := Z
% 2.65/3.05 T := T
% 2.65/3.05 end
% 2.65/3.05 permutation0:
% 2.65/3.05 0 ==> 0
% 2.65/3.05 1 ==> 1
% 2.65/3.05 2 ==> 2
% 2.65/3.05 3 ==> 3
% 2.65/3.05 end
% 2.65/3.05
% 2.65/3.05 subsumption: (63) {G0,W13,D2,L3,V5,M3} I { ! midp( U, X, Y ), ! midp( U, Z
% 2.65/3.05 , T ), para( X, Z, Y, T ) }.
% 2.65/3.05 parent0: (18267) {G0,W13,D2,L3,V5,M3} { ! midp( U, X, Y ), ! midp( U, Z, T
% 2.65/3.05 ), para( X, Z, Y, T ) }.
% 2.65/3.05 substitution0:
% 2.65/3.05 X := X
% 2.65/3.05 Y := Y
% 2.65/3.05 Z := Z
% 2.65/3.05 T := T
% 2.65/3.05 U := U
% 2.65/3.05 end
% 2.65/3.05 permutation0:
% 2.65/3.05 0 ==> 0
% 2.65/3.05 1 ==> 1
% 2.65/3.05 2 ==> 2
% 2.65/3.05 end
% 2.65/3.05
% 2.65/3.05 subsumption: (64) {G0,W18,D2,L4,V5,M4} I { ! midp( Z, T, U ), ! para( T, X
% 2.65/3.05 , U, Y ), ! para( T, Y, U, X ), midp( Z, X, Y ) }.
% 2.65/3.05 parent0: (18268) {G0,W18,D2,L4,V5,M4} { ! midp( Z, T, U ), ! para( T, X, U
% 2.65/3.05 , Y ), ! para( T, Y, U, X ), midp( Z, X, Y ) }.
% 2.65/3.05 substitution0:
% 2.65/3.05 X := X
% 2.65/3.05 Y := Y
% 2.65/3.05 Z := Z
% 2.65/3.05 T := T
% 2.65/3.05 U := U
% 2.65/3.05 end
% 2.65/3.05 permutation0:
% 2.65/3.05 0 ==> 0
% 2.65/3.05 1 ==> 1
% 2.65/3.05 2 ==> 2
% 2.65/3.05 3 ==> 3
% 2.65/3.05 end
% 2.65/3.05
% 2.65/3.05 subsumption: (68) {G0,W9,D2,L2,V3,M2} I { ! midp( X, Y, Z ), cong( X, Y, X
% 2.65/3.05 , Z ) }.
% 2.65/3.05 parent0: (18272) {G0,W9,D2,L2,V3,M2} { ! midp( X, Y, Z ), cong( X, Y, X, Z
% 2.65/3.05 ) }.
% 2.65/3.05 substitution0:
% 2.65/3.05 X := X
% 2.65/3.05 Y := Y
% 2.65/3.05 Z := Z
% 2.65/3.05 end
% 2.65/3.05 permutation0:
% 2.65/3.05 0 ==> 0
% 2.65/3.05 1 ==> 1
% 2.65/3.05 end
% 2.65/3.05
% 2.65/3.05 subsumption: (69) {G0,W8,D2,L2,V3,M2} I { ! midp( X, Y, Z ), coll( X, Y, Z
% 2.65/3.05 ) }.
% 2.65/3.05 parent0: (18273) {G0,W8,D2,L2,V3,M2} { ! midp( X, Y, Z ), coll( X, Y, Z )
% 2.65/3.05 }.
% 2.65/3.05 substitution0:
% 2.65/3.05 X := X
% 2.65/3.05 Y := Y
% 2.65/3.05 Z := Z
% 2.65/3.05 end
% 2.65/3.05 permutation0:
% 2.65/3.05 0 ==> 0
% 2.65/3.05 1 ==> 1
% 2.65/3.05 end
% 2.65/3.05
% 2.65/3.05 subsumption: (71) {G0,W19,D2,L3,V4,M3} I { ! eqangle( X, Y, Z, T, Z, T, X,
% 2.65/3.05 Y ), para( X, Y, Z, T ), perp( X, Y, Z, T ) }.
% 2.65/3.05 parent0: (18275) {G0,W19,D2,L3,V4,M3} { ! eqangle( X, Y, Z, T, Z, T, X, Y
% 2.65/3.05 ), para( X, Y, Z, T ), perp( X, Y, Z, T ) }.
% 2.65/3.05 substitution0:
% 2.65/3.05 X := X
% 2.65/3.05 Y := Y
% 2.65/3.05 Z := Z
% 2.65/3.05 T := T
% 2.65/3.05 end
% 2.65/3.05 permutation0:
% 2.65/3.05 0 ==> 0
% 2.65/3.05 1 ==> 1
% 2.65/3.05 2 ==> 2
% 2.65/3.05 end
% 2.65/3.05
% 2.65/3.05 subsumption: (72) {G0,W19,D2,L3,V8,M3} I { ! eqangle( X, Y, Z, T, U, W, V0
% 2.65/3.05 , V1 ), ! para( U, W, V0, V1 ), para( X, Y, Z, T ) }.
% 2.65/3.05 parent0: (18277) {G0,W19,D2,L3,V8,M3} { ! eqangle( X, Y, Z, T, U, W, V0,
% 2.65/3.05 V1 ), ! para( U, W, V0, V1 ), para( X, Y, Z, T ) }.
% 2.65/3.05 substitution0:
% 2.65/3.05 X := X
% 2.65/3.05 Y := Y
% 2.65/3.05 Z := Z
% 2.65/3.05 T := T
% 2.65/3.05 U := U
% 2.65/3.05 W := W
% 2.65/3.05 V0 := V0
% 2.65/3.05 V1 := V1
% 2.65/3.05 end
% 2.65/3.05 permutation0:
% 2.65/3.05 0 ==> 0
% 2.65/3.05 1 ==> 1
% 2.65/3.05 2 ==> 2
% 2.65/3.05 end
% 2.65/3.05
% 2.65/3.05 subsumption: (73) {G0,W19,D2,L3,V8,M3} I { ! eqangle( X, Y, Z, T, U, W, V0
% 2.65/3.05 , V1 ), ! perp( U, W, V0, V1 ), perp( X, Y, Z, T ) }.
% 2.65/3.05 parent0: (18278) {G0,W19,D2,L3,V8,M3} { ! eqangle( X, Y, Z, T, U, W, V0,
% 2.65/3.05 V1 ), ! perp( U, W, V0, V1 ), perp( X, Y, Z, T ) }.
% 2.65/3.05 substitution0:
% 2.65/3.05 X := X
% 2.65/3.05 Y := Y
% 2.65/3.05 Z := Z
% 2.65/3.05 T := T
% 2.65/3.05 U := U
% 2.65/3.05 W := W
% 2.65/3.05 V0 := V0
% 2.65/3.05 V1 := V1
% 2.65/3.05 end
% 2.65/3.05 permutation0:
% 2.65/3.05 0 ==> 0
% 2.65/3.05 1 ==> 1
% 2.65/3.05 2 ==> 2
% 2.65/3.05 end
% 2.65/3.05
% 2.65/3.05 subsumption: (88) {G0,W22,D3,L5,V7,M5} I { ! midp( Z, X, Y ), ! midp( W, T
% 2.65/3.05 , U ), ! coll( T, X, Y ), ! coll( U, X, Y ), midp( skol7( X, V0 ), X, V0
% 2.65/3.05 ) }.
% 2.65/3.05 parent0: (18293) {G0,W22,D3,L5,V7,M5} { ! midp( Z, X, Y ), ! midp( W, T, U
% 2.65/3.05 ), ! coll( T, X, Y ), ! coll( U, X, Y ), midp( skol7( X, V0 ), X, V0 )
% 2.65/3.05 }.
% 2.65/3.05 substitution0:
% 2.65/3.05 X := X
% 2.65/3.05 Y := Y
% 2.65/3.05 Z := Z
% 2.65/3.05 T := T
% 2.65/3.05 U := U
% 2.65/3.05 W := W
% 2.65/3.05 V0 := V0
% 2.65/3.05 end
% 2.65/3.05 permutation0:
% 2.65/3.05 0 ==> 0
% 2.65/3.05 1 ==> 1
% 2.65/3.05 2 ==> 2
% 2.65/3.05 3 ==> 3
% 2.65/3.05 4 ==> 4
% 2.65/3.05 end
% 2.65/3.05
% 2.65/3.05 subsumption: (95) {G0,W18,D3,L3,V4,M3} I { ! perp( X, T, Y, Z ), ! perp( Y
% 2.65/3.05 , T, X, Z ), perp( X, skol10( X, Y, Z ), Z, Y ) }.
% 2.65/3.05 parent0: (18300) {G0,W18,D3,L3,V4,M3} { ! perp( X, T, Y, Z ), ! perp( Y, T
% 2.65/3.05 , X, Z ), perp( X, skol10( X, Y, Z ), Z, Y ) }.
% 2.65/3.05 substitution0:
% 2.65/3.05 X := X
% 2.65/3.05 Y := Y
% 2.65/3.05 Z := Z
% 2.65/3.05 T := T
% 2.65/3.05 end
% 2.65/3.05 permutation0:
% 2.65/3.05 0 ==> 0
% 2.65/3.05 1 ==> 1
% 2.65/3.05 2 ==> 2
% 2.65/3.05 end
% 2.65/3.05
% 2.65/3.05 subsumption: (100) {G0,W12,D3,L2,V4,M2} I { ! circle( Y, X, Z, T ), perp(
% 2.65/3.05 skol12( X, Y ), X, X, Y ) }.
% 2.65/3.05 parent0: (18305) {G0,W12,D3,L2,V4,M2} { ! circle( Y, X, Z, T ), perp(
% 2.65/3.05 skol12( X, Y ), X, X, Y ) }.
% 2.65/3.05 substitution0:
% 2.65/3.05 X := X
% 2.65/3.05 Y := Y
% 2.65/3.05 Z := Z
% 2.65/3.05 T := T
% 2.65/3.05 end
% 2.65/3.05 permutation0:
% 2.65/3.05 0 ==> 0
% 2.65/3.05 1 ==> 1
% 2.65/3.05 end
% 2.65/3.05
% 2.65/3.05 subsumption: (116) {G0,W5,D2,L1,V0,M1} I { circle( skol20, skol27, skol28,
% 2.65/3.05 skol29 ) }.
% 2.65/3.05 parent0: (18321) {G0,W5,D2,L1,V0,M1} { circle( skol20, skol27, skol28,
% 2.65/3.05 skol29 ) }.
% 2.65/3.05 substitution0:
% 2.65/3.05 end
% 2.65/3.05 permutation0:
% 2.65/3.05 0 ==> 0
% 2.65/3.05 end
% 2.65/3.05
% 2.65/3.05 subsumption: (120) {G0,W4,D2,L1,V0,M1} I { midp( skol34, skol23, skol27 )
% 2.65/3.05 }.
% 2.65/3.05 parent0: (18325) {G0,W4,D2,L1,V0,M1} { midp( skol34, skol23, skol27 ) }.
% 2.65/3.05 substitution0:
% 2.65/3.05 end
% 2.65/3.05 permutation0:
% 2.65/3.05 0 ==> 0
% 2.65/3.05 end
% 2.65/3.05
% 2.65/3.05 subsumption: (126) {G0,W9,D2,L1,V0,M1} I { ! eqangle( skol24, skol23,
% 2.65/3.05 skol23, skol25, skol20, skol26, skol26, skol22 ) }.
% 2.65/3.05 parent0: (18331) {G0,W9,D2,L1,V0,M1} { ! eqangle( skol24, skol23, skol23,
% 2.65/3.05 skol25, skol20, skol26, skol26, skol22 ) }.
% 2.65/3.05 substitution0:
% 2.65/3.05 end
% 2.65/3.05 permutation0:
% 2.65/3.05 0 ==> 0
% 2.65/3.05 end
% 2.65/3.05
% 2.65/3.05 factor: (18995) {G0,W10,D2,L2,V3,M2} { ! cong( X, Y, X, Z ), circle( X, Y
% 2.65/3.05 , Z, Z ) }.
% 2.65/3.05 parent0[0, 1]: (11) {G0,W15,D2,L3,V4,M3} I { ! cong( T, X, T, Y ), ! cong(
% 2.65/3.05 T, X, T, Z ), circle( T, X, Y, Z ) }.
% 2.65/3.05 substitution0:
% 2.65/3.05 X := Y
% 2.65/3.05 Y := Z
% 2.65/3.05 Z := Z
% 2.65/3.05 T := X
% 2.65/3.05 end
% 2.65/3.05
% 2.65/3.05 subsumption: (129) {G1,W10,D2,L2,V3,M2} F(11) { ! cong( X, Y, X, Z ),
% 2.65/3.05 circle( X, Y, Z, Z ) }.
% 2.65/3.05 parent0: (18995) {G0,W10,D2,L2,V3,M2} { ! cong( X, Y, X, Z ), circle( X, Y
% 2.65/3.05 , Z, Z ) }.
% 2.65/3.05 substitution0:
% 2.65/3.05 X := X
% 2.65/3.05 Y := Y
% 2.65/3.05 Z := Z
% 2.65/3.05 end
% 2.65/3.05 permutation0:
% 2.65/3.05 0 ==> 0
% 2.65/3.05 1 ==> 1
% 2.65/3.05 end
% 2.65/3.05
% 2.65/3.05 factor: (18998) {G0,W15,D2,L3,V4,M3} { ! cong( X, Y, X, Z ), ! cong( X, Y
% 2.65/3.05 , X, T ), cyclic( Y, Z, T, T ) }.
% 2.65/3.05 parent0[1, 2]: (12) {G0,W20,D2,L4,V5,M4} I { ! cong( U, X, U, Y ), ! cong(
% 2.65/3.05 U, X, U, Z ), ! cong( U, X, U, T ), cyclic( X, Y, Z, T ) }.
% 2.65/3.05 substitution0:
% 2.65/3.05 X := Y
% 2.65/3.05 Y := Z
% 2.65/3.05 Z := T
% 2.65/3.05 T := T
% 2.65/3.05 U := X
% 2.65/3.05 end
% 2.65/3.05
% 2.65/3.05 subsumption: (132) {G1,W15,D2,L3,V4,M3} F(12) { ! cong( X, Y, X, Z ), !
% 2.65/3.05 cong( X, Y, X, T ), cyclic( Y, Z, T, T ) }.
% 2.65/3.05 parent0: (18998) {G0,W15,D2,L3,V4,M3} { ! cong( X, Y, X, Z ), ! cong( X, Y
% 2.65/3.05 , X, T ), cyclic( Y, Z, T, T ) }.
% 2.65/3.05 substitution0:
% 2.65/3.05 X := X
% 2.65/3.05 Y := Y
% 2.65/3.05 Z := Z
% 2.65/3.05 T := T
% 2.65/3.05 end
% 2.65/3.05 permutation0:
% 2.65/3.05 0 ==> 0
% 2.65/3.05 1 ==> 1
% 2.65/3.05 2 ==> 2
% 2.65/3.05 end
% 2.65/3.05
% 2.65/3.05 factor: (19000) {G1,W10,D2,L2,V3,M2} { ! cong( X, Y, X, Z ), cyclic( Y, Z
% 2.65/3.05 , Z, Z ) }.
% 2.65/3.05 parent0[0, 1]: (132) {G1,W15,D2,L3,V4,M3} F(12) { ! cong( X, Y, X, Z ), !
% 2.65/3.05 cong( X, Y, X, T ), cyclic( Y, Z, T, T ) }.
% 2.65/3.05 substitution0:
% 2.65/3.05 X := X
% 2.65/3.05 Y := Y
% 2.65/3.05 Z := Z
% 2.65/3.05 T := Z
% 2.65/3.05 end
% 2.65/3.05
% 2.65/3.05 subsumption: (133) {G2,W10,D2,L2,V3,M2} F(132) { ! cong( X, Y, X, Z ),
% 2.65/3.05 cyclic( Y, Z, Z, Z ) }.
% 2.65/3.05 parent0: (19000) {G1,W10,D2,L2,V3,M2} { ! cong( X, Y, X, Z ), cyclic( Y, Z
% 2.65/3.05 , Z, Z ) }.
% 2.65/3.05 substitution0:
% 2.65/3.05 X := X
% 2.65/3.05 Y := Y
% 2.65/3.05 Z := Z
% 2.65/3.05 end
% 2.65/3.05 permutation0:
% 2.65/3.05 0 ==> 0
% 2.65/3.05 1 ==> 1
% 2.65/3.05 end
% 2.65/3.05
% 2.65/3.05 factor: (19001) {G0,W10,D2,L2,V4,M2} { ! cyclic( X, Y, Z, T ), cyclic( Y,
% 2.65/3.05 Z, T, T ) }.
% 2.65/3.05 parent0[0, 1]: (16) {G0,W15,D2,L3,V5,M3} I { ! cyclic( U, X, Y, Z ), !
% 2.65/3.05 cyclic( U, X, Y, T ), cyclic( X, Y, Z, T ) }.
% 2.65/3.05 substitution0:
% 2.65/3.05 X := Y
% 2.65/3.05 Y := Z
% 2.65/3.05 Z := T
% 2.65/3.05 T := T
% 2.65/3.05 U := X
% 2.65/3.05 end
% 2.65/3.05
% 2.65/3.05 subsumption: (134) {G1,W10,D2,L2,V4,M2} F(16) { ! cyclic( X, Y, Z, T ),
% 2.65/3.05 cyclic( Y, Z, T, T ) }.
% 2.65/3.05 parent0: (19001) {G0,W10,D2,L2,V4,M2} { ! cyclic( X, Y, Z, T ), cyclic( Y
% 2.65/3.05 , Z, T, T ) }.
% 2.65/3.05 substitution0:
% 2.65/3.05 X := X
% 2.65/3.05 Y := Y
% 2.65/3.05 Z := Z
% 2.65/3.05 T := T
% 2.65/3.05 end
% 2.65/3.05 permutation0:
% 2.65/3.05 0 ==> 0
% 2.65/3.05 1 ==> 1
% 2.65/3.05 end
% 2.65/3.05
% 2.65/3.05 factor: (19004) {G0,W24,D2,L4,V5,M4} { ! cyclic( X, Y, Z, T ), ! cyclic( X
% 2.65/3.05 , Y, Z, U ), ! eqangle( Z, X, Z, Y, U, T, U, U ), cong( X, Y, T, U ) }.
% 2.65/3.05 parent0[1, 2]: (43) {G0,W29,D2,L5,V6,M5} I { ! cyclic( X, Y, U, Z ), !
% 2.65/3.05 cyclic( X, Y, U, T ), ! cyclic( X, Y, U, W ), ! eqangle( U, X, U, Y, W, Z
% 2.65/3.05 , W, T ), cong( X, Y, Z, T ) }.
% 2.65/3.05 substitution0:
% 2.65/3.05 X := X
% 2.65/3.05 Y := Y
% 2.65/3.05 Z := T
% 2.65/3.05 T := U
% 2.65/3.05 U := Z
% 2.65/3.05 W := U
% 2.65/3.05 end
% 2.65/3.05
% 2.65/3.05 subsumption: (137) {G1,W24,D2,L4,V5,M4} F(43) { ! cyclic( X, Y, Z, T ), !
% 2.65/3.05 cyclic( X, Y, Z, U ), ! eqangle( Z, X, Z, Y, U, T, U, U ), cong( X, Y, T
% 2.65/3.05 , U ) }.
% 2.65/3.05 parent0: (19004) {G0,W24,D2,L4,V5,M4} { ! cyclic( X, Y, Z, T ), ! cyclic(
% 2.65/3.05 X, Y, Z, U ), ! eqangle( Z, X, Z, Y, U, T, U, U ), cong( X, Y, T, U ) }.
% 2.65/3.05 substitution0:
% 2.65/3.05 X := X
% 2.65/3.05 Y := Y
% 2.65/3.05 Z := Z
% 2.65/3.05 T := T
% 2.65/3.05 U := U
% 2.65/3.05 end
% 2.65/3.05 permutation0:
% 2.65/3.05 0 ==> 0
% 2.65/3.05 1 ==> 1
% 2.65/3.05 2 ==> 2
% 2.65/3.05 3 ==> 3
% 2.65/3.05 end
% 2.65/3.05
% 2.65/3.05 factor: (19006) {G0,W10,D2,L2,V3,M2} { ! cong( X, Y, Z, Y ), perp( X, Z, Y
% 2.65/3.05 , Y ) }.
% 2.65/3.05 parent0[0, 1]: (56) {G0,W15,D2,L3,V4,M3} I { ! cong( X, Z, Y, Z ), ! cong(
% 2.65/3.05 X, T, Y, T ), perp( X, Y, Z, T ) }.
% 2.65/3.05 substitution0:
% 2.65/3.05 X := X
% 2.65/3.05 Y := Z
% 2.65/3.05 Z := Y
% 2.65/3.05 T := Y
% 2.65/3.05 end
% 2.65/3.05
% 2.65/3.05 subsumption: (139) {G1,W10,D2,L2,V3,M2} F(56) { ! cong( X, Y, Z, Y ), perp
% 2.65/3.05 ( X, Z, Y, Y ) }.
% 2.65/3.05 parent0: (19006) {G0,W10,D2,L2,V3,M2} { ! cong( X, Y, Z, Y ), perp( X, Z,
% 2.65/3.05 Y, Y ) }.
% 2.65/3.05 substitution0:
% 2.65/3.05 X := X
% 2.65/3.05 Y := Y
% 2.65/3.05 Z := Z
% 2.65/3.05 end
% 2.65/3.05 permutation0:
% 2.65/3.05 0 ==> 0
% 2.65/3.05 1 ==> 1
% 2.65/3.05 end
% 2.65/3.05
% 2.65/3.05 factor: (19007) {G0,W15,D2,L3,V3,M3} { ! cong( X, Y, Z, Y ), ! cyclic( X,
% 2.65/3.05 Z, Y, Y ), perp( Y, X, X, Y ) }.
% 2.65/3.05 parent0[0, 1]: (57) {G0,W20,D2,L4,V4,M4} I { ! cong( X, Y, T, Y ), ! cong(
% 2.65/3.05 X, Z, T, Z ), ! cyclic( X, T, Y, Z ), perp( Y, X, X, Z ) }.
% 2.65/3.05 substitution0:
% 2.65/3.05 X := X
% 2.65/3.05 Y := Y
% 2.65/3.05 Z := Y
% 2.65/3.05 T := Z
% 2.65/3.05 end
% 2.65/3.05
% 2.65/3.05 subsumption: (140) {G1,W15,D2,L3,V3,M3} F(57) { ! cong( X, Y, Z, Y ), !
% 2.65/3.05 cyclic( X, Z, Y, Y ), perp( Y, X, X, Y ) }.
% 2.65/3.05 parent0: (19007) {G0,W15,D2,L3,V3,M3} { ! cong( X, Y, Z, Y ), ! cyclic( X
% 2.65/3.05 , Z, Y, Y ), perp( Y, X, X, Y ) }.
% 2.65/3.05 substitution0:
% 2.65/3.05 X := X
% 2.65/3.05 Y := Y
% 2.65/3.05 Z := Z
% 2.65/3.05 end
% 2.65/3.05 permutation0:
% 2.65/3.05 0 ==> 0
% 2.65/3.05 1 ==> 1
% 2.65/3.05 2 ==> 2
% 2.65/3.05 end
% 2.65/3.05
% 2.65/3.05 factor: (19008) {G0,W9,D2,L2,V3,M2} { ! midp( X, Y, Z ), para( Y, Y, Z, Z
% 2.65/3.05 ) }.
% 2.65/3.05 parent0[0, 1]: (63) {G0,W13,D2,L3,V5,M3} I { ! midp( U, X, Y ), ! midp( U,
% 2.65/3.05 Z, T ), para( X, Z, Y, T ) }.
% 2.65/3.05 substitution0:
% 2.65/3.05 X := Y
% 2.65/3.05 Y := Z
% 2.65/3.05 Z := Y
% 2.65/3.05 T := Z
% 2.65/3.05 U := X
% 2.65/3.05 end
% 2.65/3.05
% 2.65/3.05 subsumption: (142) {G1,W9,D2,L2,V3,M2} F(63) { ! midp( X, Y, Z ), para( Y,
% 2.65/3.05 Y, Z, Z ) }.
% 2.65/3.05 parent0: (19008) {G0,W9,D2,L2,V3,M2} { ! midp( X, Y, Z ), para( Y, Y, Z, Z
% 2.65/3.05 ) }.
% 2.65/3.05 substitution0:
% 2.65/3.05 X := X
% 2.65/3.05 Y := Y
% 2.65/3.05 Z := Z
% 2.65/3.05 end
% 2.65/3.05 permutation0:
% 2.65/3.05 0 ==> 0
% 2.65/3.05 1 ==> 1
% 2.65/3.05 end
% 2.65/3.05
% 2.65/3.05 factor: (19009) {G0,W13,D2,L3,V4,M3} { ! midp( X, Y, Z ), ! para( Y, T, Z
% 2.65/3.05 , T ), midp( X, T, T ) }.
% 2.65/3.05 parent0[1, 2]: (64) {G0,W18,D2,L4,V5,M4} I { ! midp( Z, T, U ), ! para( T,
% 2.65/3.05 X, U, Y ), ! para( T, Y, U, X ), midp( Z, X, Y ) }.
% 2.65/3.05 substitution0:
% 2.65/3.05 X := T
% 2.65/3.05 Y := T
% 2.65/3.05 Z := X
% 2.65/3.05 T := Y
% 2.65/3.05 U := Z
% 2.65/3.05 end
% 2.65/3.05
% 2.65/3.05 subsumption: (143) {G1,W13,D2,L3,V4,M3} F(64) { ! midp( X, Y, Z ), ! para(
% 2.65/3.05 Y, T, Z, T ), midp( X, T, T ) }.
% 2.65/3.05 parent0: (19009) {G0,W13,D2,L3,V4,M3} { ! midp( X, Y, Z ), ! para( Y, T, Z
% 2.65/3.05 , T ), midp( X, T, T ) }.
% 2.65/3.05 substitution0:
% 2.65/3.05 X := X
% 2.65/3.05 Y := Y
% 2.65/3.05 Z := Z
% 2.65/3.05 T := T
% 2.65/3.05 end
% 2.65/3.05 permutation0:
% 2.65/3.05 0 ==> 0
% 2.65/3.05 1 ==> 1
% 2.65/3.05 2 ==> 2
% 2.65/3.05 end
% 2.65/3.05
% 2.65/3.05 factor: (19010) {G0,W18,D3,L4,V4,M4} { ! midp( X, Y, Z ), ! coll( Y, Y, Z
% 2.65/3.05 ), ! coll( Z, Y, Z ), midp( skol7( Y, T ), Y, T ) }.
% 2.65/3.05 parent0[0, 1]: (88) {G0,W22,D3,L5,V7,M5} I { ! midp( Z, X, Y ), ! midp( W,
% 2.65/3.05 T, U ), ! coll( T, X, Y ), ! coll( U, X, Y ), midp( skol7( X, V0 ), X, V0
% 2.65/3.05 ) }.
% 2.65/3.05 substitution0:
% 2.65/3.05 X := Y
% 2.65/3.05 Y := Z
% 2.65/3.05 Z := X
% 2.65/3.05 T := Y
% 2.65/3.05 U := Z
% 2.65/3.05 W := X
% 2.65/3.05 V0 := T
% 2.65/3.05 end
% 2.65/3.05
% 2.65/3.05 subsumption: (149) {G1,W18,D3,L4,V4,M4} F(88) { ! midp( X, Y, Z ), ! coll(
% 2.65/3.05 Y, Y, Z ), ! coll( Z, Y, Z ), midp( skol7( Y, T ), Y, T ) }.
% 2.65/3.05 parent0: (19010) {G0,W18,D3,L4,V4,M4} { ! midp( X, Y, Z ), ! coll( Y, Y, Z
% 2.65/3.05 ), ! coll( Z, Y, Z ), midp( skol7( Y, T ), Y, T ) }.
% 2.65/3.05 substitution0:
% 2.65/3.05 X := X
% 2.65/3.05 Y := Y
% 2.65/3.05 Z := Z
% 2.65/3.05 T := T
% 2.65/3.05 end
% 2.65/3.05 permutation0:
% 2.65/3.05 0 ==> 0
% 2.65/3.05 1 ==> 1
% 2.65/3.05 2 ==> 2
% 2.65/3.05 3 ==> 3
% 2.65/3.05 end
% 2.65/3.05
% 2.65/3.05 factor: (19013) {G0,W13,D3,L2,V3,M2} { ! perp( X, Y, X, Z ), perp( X,
% 2.65/3.05 skol10( X, X, Z ), Z, X ) }.
% 2.65/3.05 parent0[0, 1]: (95) {G0,W18,D3,L3,V4,M3} I { ! perp( X, T, Y, Z ), ! perp(
% 2.65/3.05 Y, T, X, Z ), perp( X, skol10( X, Y, Z ), Z, Y ) }.
% 2.65/3.05 substitution0:
% 2.65/3.05 X := X
% 2.65/3.05 Y := X
% 2.65/3.05 Z := Z
% 2.65/3.05 T := Y
% 2.65/3.05 end
% 2.65/3.05
% 2.65/3.05 subsumption: (155) {G1,W13,D3,L2,V3,M2} F(95) { ! perp( X, Y, X, Z ), perp
% 2.65/3.05 ( X, skol10( X, X, Z ), Z, X ) }.
% 2.65/3.05 parent0: (19013) {G0,W13,D3,L2,V3,M2} { ! perp( X, Y, X, Z ), perp( X,
% 2.65/3.05 skol10( X, X, Z ), Z, X ) }.
% 2.65/3.05 substitution0:
% 2.65/3.05 X := X
% 2.65/3.05 Y := Y
% 2.65/3.05 Z := Z
% 2.65/3.05 end
% 2.65/3.05 permutation0:
% 2.65/3.05 0 ==> 0
% 2.65/3.05 1 ==> 1
% 2.65/3.05 end
% 2.65/3.05
% 2.65/3.05 resolution: (19014) {G1,W8,D2,L2,V3,M2} { coll( Y, X, Z ), ! coll( X, Z, Y
% 2.65/3.05 ) }.
% 2.65/3.05 parent0[0]: (1) {G0,W8,D2,L2,V3,M2} I { ! coll( X, Y, Z ), coll( Y, X, Z )
% 2.65/3.05 }.
% 2.65/3.05 parent1[1]: (0) {G0,W8,D2,L2,V3,M2} I { ! coll( X, Y, Z ), coll( X, Z, Y )
% 2.65/3.05 }.
% 2.65/3.05 substitution0:
% 2.65/3.05 X := X
% 2.65/3.05 Y := Y
% 2.65/3.05 Z := Z
% 2.65/3.05 end
% 2.65/3.05 substitution1:
% 2.65/3.05 X := X
% 2.65/3.05 Y := Z
% 2.65/3.05 Z := Y
% 2.65/3.05 end
% 2.65/3.05
% 2.65/3.05 subsumption: (170) {G1,W8,D2,L2,V3,M2} R(1,0) { coll( X, Y, Z ), ! coll( Y
% 2.65/3.05 , Z, X ) }.
% 2.65/3.05 parent0: (19014) {G1,W8,D2,L2,V3,M2} { coll( Y, X, Z ), ! coll( X, Z, Y )
% 2.65/3.05 }.
% 2.65/3.05 substitution0:
% 2.65/3.05 X := Y
% 2.65/3.05 Y := X
% 2.65/3.05 Z := Z
% 2.65/3.05 end
% 2.65/3.05 permutation0:
% 2.65/3.05 0 ==> 0
% 2.65/3.05 1 ==> 1
% 2.65/3.05 end
% 2.65/3.05
% 2.65/3.05 resolution: (19016) {G1,W8,D2,L2,V3,M2} { coll( X, Z, Y ), ! coll( Y, X, Z
% 2.65/3.05 ) }.
% 2.65/3.05 parent0[0]: (0) {G0,W8,D2,L2,V3,M2} I { ! coll( X, Y, Z ), coll( X, Z, Y )
% 2.65/3.05 }.
% 2.65/3.05 parent1[1]: (1) {G0,W8,D2,L2,V3,M2} I { ! coll( X, Y, Z ), coll( Y, X, Z )
% 2.65/3.05 }.
% 2.65/3.05 substitution0:
% 2.65/3.05 X := X
% 2.65/3.05 Y := Y
% 2.65/3.05 Z := Z
% 2.65/3.05 end
% 2.65/3.05 substitution1:
% 2.65/3.05 X := Y
% 2.65/3.05 Y := X
% 2.65/3.05 Z := Z
% 2.65/3.05 end
% 2.65/3.05
% 2.65/3.05 subsumption: (171) {G1,W8,D2,L2,V3,M2} R(1,0) { ! coll( X, Y, Z ), coll( Y
% 2.65/3.05 , Z, X ) }.
% 2.65/3.05 parent0: (19016) {G1,W8,D2,L2,V3,M2} { coll( X, Z, Y ), ! coll( Y, X, Z )
% 2.65/3.05 }.
% 2.65/3.05 substitution0:
% 2.65/3.05 X := Y
% 2.65/3.05 Y := X
% 2.65/3.05 Z := Z
% 2.65/3.05 end
% 2.65/3.05 permutation0:
% 2.65/3.05 0 ==> 1
% 2.65/3.05 1 ==> 0
% 2.65/3.05 end
% 2.65/3.05
% 2.65/3.05 resolution: (19018) {G1,W10,D2,L2,V4,M2} { para( X, Y, T, Z ), ! para( Z,
% 2.65/3.05 T, X, Y ) }.
% 2.65/3.05 parent0[0]: (3) {G0,W10,D2,L2,V4,M2} I { ! para( X, Y, Z, T ), para( X, Y,
% 2.65/3.05 T, Z ) }.
% 2.65/3.05 parent1[1]: (4) {G0,W10,D2,L2,V4,M2} I { ! para( X, Y, Z, T ), para( Z, T,
% 2.65/3.05 X, Y ) }.
% 2.65/3.05 substitution0:
% 2.65/3.05 X := X
% 2.65/3.05 Y := Y
% 2.65/3.05 Z := Z
% 2.65/3.05 T := T
% 2.65/3.05 end
% 2.65/3.05 substitution1:
% 2.65/3.05 X := Z
% 2.65/3.05 Y := T
% 2.65/3.05 Z := X
% 2.65/3.05 T := Y
% 2.65/3.05 end
% 2.65/3.05
% 2.65/3.05 subsumption: (228) {G1,W10,D2,L2,V4,M2} R(4,3) { ! para( X, Y, Z, T ), para
% 2.65/3.05 ( Z, T, Y, X ) }.
% 2.65/3.05 parent0: (19018) {G1,W10,D2,L2,V4,M2} { para( X, Y, T, Z ), ! para( Z, T,
% 2.65/3.05 X, Y ) }.
% 2.65/3.05 substitution0:
% 2.65/3.05 X := Z
% 2.65/3.05 Y := T
% 2.65/3.05 Z := X
% 2.65/3.05 T := Y
% 2.65/3.05 end
% 2.65/3.05 permutation0:
% 2.65/3.05 0 ==> 1
% 2.65/3.05 1 ==> 0
% 2.65/3.05 end
% 2.65/3.05
% 2.65/3.05 resolution: (19019) {G1,W15,D2,L3,V6,M3} { ! para( Z, T, U, W ), para( X,
% 2.65/3.05 Y, U, W ), ! para( Z, T, X, Y ) }.
% 2.65/3.05 parent0[0]: (5) {G0,W15,D2,L3,V6,M3} I { ! para( X, Y, U, W ), ! para( U, W
% 2.65/3.05 , Z, T ), para( X, Y, Z, T ) }.
% 2.65/3.05 parent1[1]: (4) {G0,W10,D2,L2,V4,M2} I { ! para( X, Y, Z, T ), para( Z, T,
% 2.65/3.05 X, Y ) }.
% 2.65/3.05 substitution0:
% 2.65/3.05 X := X
% 2.65/3.05 Y := Y
% 2.65/3.05 Z := U
% 2.65/3.05 T := W
% 2.65/3.05 U := Z
% 2.65/3.05 W := T
% 2.65/3.05 end
% 2.65/3.05 substitution1:
% 2.65/3.05 X := Z
% 2.65/3.05 Y := T
% 2.65/3.05 Z := X
% 2.65/3.05 T := Y
% 2.65/3.05 end
% 2.65/3.05
% 2.65/3.05 subsumption: (230) {G1,W15,D2,L3,V6,M3} R(5,4) { ! para( X, Y, Z, T ), para
% 2.65/3.05 ( U, W, Z, T ), ! para( X, Y, U, W ) }.
% 2.65/3.05 parent0: (19019) {G1,W15,D2,L3,V6,M3} { ! para( Z, T, U, W ), para( X, Y,
% 2.65/3.05 U, W ), ! para( Z, T, X, Y ) }.
% 2.65/3.05 substitution0:
% 2.65/3.05 X := U
% 2.65/3.05 Y := W
% 2.65/3.05 Z := X
% 2.65/3.05 T := Y
% 2.65/3.05 U := Z
% 2.65/3.05 W := T
% 2.65/3.05 end
% 2.65/3.05 permutation0:
% 2.65/3.05 0 ==> 0
% 2.65/3.05 1 ==> 1
% 2.65/3.05 2 ==> 2
% 2.65/3.05 end
% 2.65/3.05
% 2.65/3.05 resolution: (19024) {G1,W15,D2,L3,V6,M3} { ! para( X, Y, Z, T ), para( X,
% 2.65/3.05 Y, U, W ), ! para( U, W, Z, T ) }.
% 2.65/3.05 parent0[1]: (5) {G0,W15,D2,L3,V6,M3} I { ! para( X, Y, U, W ), ! para( U, W
% 2.65/3.05 , Z, T ), para( X, Y, Z, T ) }.
% 2.65/3.05 parent1[1]: (4) {G0,W10,D2,L2,V4,M2} I { ! para( X, Y, Z, T ), para( Z, T,
% 2.65/3.05 X, Y ) }.
% 2.65/3.05 substitution0:
% 2.65/3.05 X := X
% 2.65/3.05 Y := Y
% 2.65/3.05 Z := U
% 2.65/3.05 T := W
% 2.65/3.05 U := Z
% 2.65/3.05 W := T
% 2.65/3.05 end
% 2.65/3.05 substitution1:
% 2.65/3.05 X := U
% 2.65/3.05 Y := W
% 2.65/3.05 Z := Z
% 2.65/3.05 T := T
% 2.65/3.05 end
% 2.65/3.05
% 2.65/3.05 subsumption: (231) {G1,W15,D2,L3,V6,M3} R(5,4) { ! para( X, Y, Z, T ), para
% 2.65/3.05 ( X, Y, U, W ), ! para( U, W, Z, T ) }.
% 2.65/3.05 parent0: (19024) {G1,W15,D2,L3,V6,M3} { ! para( X, Y, Z, T ), para( X, Y,
% 2.65/3.05 U, W ), ! para( U, W, Z, T ) }.
% 2.65/3.05 substitution0:
% 2.65/3.05 X := X
% 2.65/3.05 Y := Y
% 2.65/3.05 Z := Z
% 2.65/3.05 T := T
% 2.65/3.05 U := U
% 2.65/3.05 W := W
% 2.65/3.05 end
% 2.65/3.05 permutation0:
% 2.65/3.05 0 ==> 0
% 2.65/3.05 1 ==> 1
% 2.65/3.05 2 ==> 2
% 2.65/3.05 end
% 2.65/3.05
% 2.65/3.05 factor: (19027) {G1,W10,D2,L2,V4,M2} { ! para( X, Y, Z, T ), para( X, Y, X
% 2.65/3.05 , Y ) }.
% 2.65/3.05 parent0[0, 2]: (231) {G1,W15,D2,L3,V6,M3} R(5,4) { ! para( X, Y, Z, T ),
% 2.65/3.05 para( X, Y, U, W ), ! para( U, W, Z, T ) }.
% 2.65/3.05 substitution0:
% 2.65/3.05 X := X
% 2.65/3.05 Y := Y
% 2.65/3.05 Z := Z
% 2.65/3.05 T := T
% 2.65/3.05 U := X
% 2.65/3.05 W := Y
% 2.65/3.05 end
% 2.65/3.05
% 2.65/3.05 subsumption: (235) {G2,W10,D2,L2,V4,M2} F(231) { ! para( X, Y, Z, T ), para
% 2.65/3.05 ( X, Y, X, Y ) }.
% 2.65/3.05 parent0: (19027) {G1,W10,D2,L2,V4,M2} { ! para( X, Y, Z, T ), para( X, Y,
% 2.65/3.05 X, Y ) }.
% 2.65/3.05 substitution0:
% 2.65/3.05 X := X
% 2.65/3.05 Y := Y
% 2.65/3.05 Z := Z
% 2.65/3.05 T := T
% 2.65/3.05 end
% 2.65/3.05 permutation0:
% 2.65/3.05 0 ==> 0
% 2.65/3.05 1 ==> 1
% 2.65/3.05 end
% 2.65/3.05
% 2.65/3.05 factor: (19028) {G1,W10,D2,L2,V4,M2} { ! para( X, Y, Z, T ), para( Z, T, Z
% 2.65/3.05 , T ) }.
% 2.65/3.05 parent0[0, 2]: (230) {G1,W15,D2,L3,V6,M3} R(5,4) { ! para( X, Y, Z, T ),
% 2.65/3.05 para( U, W, Z, T ), ! para( X, Y, U, W ) }.
% 2.65/3.05 substitution0:
% 2.65/3.05 X := X
% 2.65/3.05 Y := Y
% 2.65/3.05 Z := Z
% 2.65/3.05 T := T
% 2.65/3.05 U := Z
% 2.65/3.05 W := T
% 2.65/3.05 end
% 2.65/3.05
% 2.65/3.05 subsumption: (236) {G2,W10,D2,L2,V4,M2} F(230) { ! para( X, Y, Z, T ), para
% 2.65/3.05 ( Z, T, Z, T ) }.
% 2.65/3.05 parent0: (19028) {G1,W10,D2,L2,V4,M2} { ! para( X, Y, Z, T ), para( Z, T,
% 2.65/3.05 Z, T ) }.
% 2.65/3.05 substitution0:
% 2.65/3.05 X := X
% 2.65/3.05 Y := Y
% 2.65/3.05 Z := Z
% 2.65/3.05 T := T
% 2.65/3.05 end
% 2.65/3.05 permutation0:
% 2.65/3.05 0 ==> 0
% 2.65/3.05 1 ==> 1
% 2.65/3.05 end
% 2.65/3.05
% 2.65/3.05 resolution: (19029) {G1,W10,D2,L2,V4,M2} { perp( Z, T, X, Y ), ! perp( X,
% 2.65/3.05 Y, T, Z ) }.
% 2.65/3.05 parent0[0]: (7) {G0,W10,D2,L2,V4,M2} I { ! perp( X, Y, Z, T ), perp( Z, T,
% 2.65/3.05 X, Y ) }.
% 2.65/3.05 parent1[1]: (6) {G0,W10,D2,L2,V4,M2} I { ! perp( X, Y, Z, T ), perp( X, Y,
% 2.65/3.05 T, Z ) }.
% 2.65/3.05 substitution0:
% 2.65/3.05 X := X
% 2.65/3.05 Y := Y
% 2.65/3.05 Z := Z
% 2.65/3.05 T := T
% 2.65/3.05 end
% 2.65/3.05 substitution1:
% 2.65/3.05 X := X
% 2.65/3.05 Y := Y
% 2.65/3.05 Z := T
% 2.65/3.05 T := Z
% 2.65/3.05 end
% 2.65/3.05
% 2.65/3.05 subsumption: (274) {G1,W10,D2,L2,V4,M2} R(7,6) { perp( X, Y, Z, T ), ! perp
% 2.65/3.05 ( Z, T, Y, X ) }.
% 2.65/3.05 parent0: (19029) {G1,W10,D2,L2,V4,M2} { perp( Z, T, X, Y ), ! perp( X, Y,
% 2.65/3.05 T, Z ) }.
% 2.65/3.05 substitution0:
% 2.65/3.05 X := Z
% 2.65/3.05 Y := T
% 2.65/3.05 Z := X
% 2.65/3.05 T := Y
% 2.65/3.05 end
% 2.65/3.05 permutation0:
% 2.65/3.05 0 ==> 0
% 2.65/3.05 1 ==> 1
% 2.65/3.05 end
% 2.65/3.05
% 2.65/3.05 resolution: (19031) {G1,W10,D2,L2,V4,M2} { perp( X, Y, T, Z ), ! perp( Z,
% 2.65/3.05 T, X, Y ) }.
% 2.65/3.05 parent0[0]: (6) {G0,W10,D2,L2,V4,M2} I { ! perp( X, Y, Z, T ), perp( X, Y,
% 2.65/3.05 T, Z ) }.
% 2.65/3.05 parent1[1]: (7) {G0,W10,D2,L2,V4,M2} I { ! perp( X, Y, Z, T ), perp( Z, T,
% 2.65/3.05 X, Y ) }.
% 2.65/3.05 substitution0:
% 2.65/3.05 X := X
% 2.65/3.05 Y := Y
% 2.65/3.05 Z := Z
% 2.65/3.05 T := T
% 2.65/3.05 end
% 2.65/3.05 substitution1:
% 2.65/3.05 X := Z
% 2.65/3.06 Y := T
% 2.65/3.06 Z := X
% 2.65/3.06 T := Y
% 2.65/3.06 end
% 2.65/3.06
% 2.65/3.06 subsumption: (275) {G1,W10,D2,L2,V4,M2} R(7,6) { ! perp( X, Y, Z, T ), perp
% 2.65/3.06 ( Z, T, Y, X ) }.
% 2.65/3.06 parent0: (19031) {G1,W10,D2,L2,V4,M2} { perp( X, Y, T, Z ), ! perp( Z, T,
% 2.65/3.06 X, Y ) }.
% 2.65/3.06 substitution0:
% 2.65/3.06 X := Z
% 2.65/3.06 Y := T
% 2.65/3.06 Z := X
% 2.65/3.06 T := Y
% 2.65/3.06 end
% 2.65/3.06 permutation0:
% 2.65/3.06 0 ==> 1
% 2.65/3.06 1 ==> 0
% 2.65/3.06 end
% 2.65/3.06
% 2.65/3.06 resolution: (19033) {G1,W15,D2,L3,V6,M3} { ! perp( X, Y, Z, T ), para( X,
% 2.65/3.06 Y, U, W ), ! perp( U, W, Z, T ) }.
% 2.65/3.06 parent0[1]: (8) {G0,W15,D2,L3,V6,M3} I { ! perp( X, Y, U, W ), ! perp( U, W
% 2.65/3.06 , Z, T ), para( X, Y, Z, T ) }.
% 2.65/3.06 parent1[1]: (7) {G0,W10,D2,L2,V4,M2} I { ! perp( X, Y, Z, T ), perp( Z, T,
% 2.65/3.06 X, Y ) }.
% 2.65/3.06 substitution0:
% 2.65/3.06 X := X
% 2.65/3.06 Y := Y
% 2.65/3.06 Z := U
% 2.65/3.06 T := W
% 2.65/3.06 U := Z
% 2.65/3.06 W := T
% 2.65/3.06 end
% 2.65/3.06 substitution1:
% 2.65/3.06 X := U
% 2.65/3.06 Y := W
% 2.65/3.06 Z := Z
% 2.65/3.06 T := T
% 2.65/3.06 end
% 2.65/3.06
% 2.65/3.06 subsumption: (285) {G1,W15,D2,L3,V6,M3} R(8,7) { ! perp( X, Y, Z, T ), para
% 2.65/3.06 ( X, Y, U, W ), ! perp( U, W, Z, T ) }.
% 2.65/3.06 parent0: (19033) {G1,W15,D2,L3,V6,M3} { ! perp( X, Y, Z, T ), para( X, Y,
% 2.65/3.06 U, W ), ! perp( U, W, Z, T ) }.
% 2.65/3.06 substitution0:
% 2.65/3.06 X := X
% 2.65/3.06 Y := Y
% 2.65/3.06 Z := Z
% 2.65/3.06 T := T
% 2.65/3.06 U := U
% 2.65/3.06 W := W
% 2.65/3.06 end
% 2.65/3.06 permutation0:
% 2.65/3.06 0 ==> 0
% 2.65/3.06 1 ==> 1
% 2.65/3.06 2 ==> 2
% 2.65/3.06 end
% 2.65/3.06
% 2.65/3.06 resolution: (19036) {G1,W15,D2,L3,V6,M3} { ! perp( Z, T, U, W ), para( X,
% 2.65/3.06 Y, U, W ), ! perp( X, Y, T, Z ) }.
% 2.65/3.06 parent0[0]: (8) {G0,W15,D2,L3,V6,M3} I { ! perp( X, Y, U, W ), ! perp( U, W
% 2.65/3.06 , Z, T ), para( X, Y, Z, T ) }.
% 2.65/3.06 parent1[1]: (6) {G0,W10,D2,L2,V4,M2} I { ! perp( X, Y, Z, T ), perp( X, Y,
% 2.65/3.06 T, Z ) }.
% 2.65/3.06 substitution0:
% 2.65/3.06 X := X
% 2.65/3.06 Y := Y
% 2.65/3.06 Z := U
% 2.65/3.06 T := W
% 2.65/3.06 U := Z
% 2.65/3.06 W := T
% 2.65/3.06 end
% 2.65/3.06 substitution1:
% 2.65/3.06 X := X
% 2.65/3.06 Y := Y
% 2.65/3.06 Z := T
% 2.65/3.06 T := Z
% 2.65/3.06 end
% 2.65/3.06
% 2.65/3.06 subsumption: (286) {G1,W15,D2,L3,V6,M3} R(8,6) { ! perp( X, Y, Z, T ), para
% 2.65/3.06 ( U, W, Z, T ), ! perp( U, W, Y, X ) }.
% 2.65/3.06 parent0: (19036) {G1,W15,D2,L3,V6,M3} { ! perp( Z, T, U, W ), para( X, Y,
% 2.65/3.06 U, W ), ! perp( X, Y, T, Z ) }.
% 2.65/3.06 substitution0:
% 2.65/3.06 X := U
% 2.65/3.06 Y := W
% 2.65/3.06 Z := X
% 2.65/3.06 T := Y
% 2.65/3.06 U := Z
% 2.65/3.06 W := T
% 2.65/3.06 end
% 2.65/3.06 permutation0:
% 2.65/3.06 0 ==> 0
% 2.65/3.06 1 ==> 1
% 2.65/3.06 2 ==> 2
% 2.65/3.06 end
% 2.65/3.06
% 2.65/3.06 resolution: (19040) {G1,W15,D2,L3,V6,M3} { para( Z, T, X, Y ), ! perp( X,
% 2.65/3.06 Y, U, W ), ! perp( U, W, Z, T ) }.
% 2.65/3.06 parent0[0]: (4) {G0,W10,D2,L2,V4,M2} I { ! para( X, Y, Z, T ), para( Z, T,
% 2.65/3.06 X, Y ) }.
% 2.65/3.06 parent1[2]: (8) {G0,W15,D2,L3,V6,M3} I { ! perp( X, Y, U, W ), ! perp( U, W
% 2.65/3.06 , Z, T ), para( X, Y, Z, T ) }.
% 2.65/3.06 substitution0:
% 2.65/3.06 X := X
% 2.65/3.06 Y := Y
% 2.65/3.06 Z := Z
% 2.65/3.06 T := T
% 2.65/3.06 end
% 2.65/3.06 substitution1:
% 2.65/3.06 X := X
% 2.65/3.06 Y := Y
% 2.65/3.06 Z := Z
% 2.65/3.06 T := T
% 2.65/3.06 U := U
% 2.65/3.06 W := W
% 2.65/3.06 end
% 2.65/3.06
% 2.65/3.06 subsumption: (290) {G1,W15,D2,L3,V6,M3} R(8,4) { ! perp( X, Y, Z, T ), !
% 2.65/3.06 perp( Z, T, U, W ), para( U, W, X, Y ) }.
% 2.65/3.06 parent0: (19040) {G1,W15,D2,L3,V6,M3} { para( Z, T, X, Y ), ! perp( X, Y,
% 2.65/3.06 U, W ), ! perp( U, W, Z, T ) }.
% 2.65/3.06 substitution0:
% 2.65/3.06 X := X
% 2.65/3.06 Y := Y
% 2.65/3.06 Z := U
% 2.65/3.06 T := W
% 2.65/3.06 U := Z
% 2.65/3.06 W := T
% 2.65/3.06 end
% 2.65/3.06 permutation0:
% 2.65/3.06 0 ==> 2
% 2.65/3.06 1 ==> 0
% 2.65/3.06 2 ==> 1
% 2.65/3.06 end
% 2.65/3.06
% 2.65/3.06 factor: (19042) {G1,W10,D2,L2,V4,M2} { ! perp( X, Y, Z, T ), para( X, Y, X
% 2.65/3.06 , Y ) }.
% 2.65/3.06 parent0[0, 2]: (285) {G1,W15,D2,L3,V6,M3} R(8,7) { ! perp( X, Y, Z, T ),
% 2.65/3.06 para( X, Y, U, W ), ! perp( U, W, Z, T ) }.
% 2.65/3.06 substitution0:
% 2.65/3.06 X := X
% 2.65/3.06 Y := Y
% 2.65/3.06 Z := Z
% 2.65/3.06 T := T
% 2.65/3.06 U := X
% 2.65/3.06 W := Y
% 2.65/3.06 end
% 2.65/3.06
% 2.65/3.06 subsumption: (293) {G2,W10,D2,L2,V4,M2} F(285) { ! perp( X, Y, Z, T ), para
% 2.65/3.06 ( X, Y, X, Y ) }.
% 2.65/3.06 parent0: (19042) {G1,W10,D2,L2,V4,M2} { ! perp( X, Y, Z, T ), para( X, Y,
% 2.65/3.06 X, Y ) }.
% 2.65/3.06 substitution0:
% 2.65/3.06 X := X
% 2.65/3.06 Y := Y
% 2.65/3.06 Z := Z
% 2.65/3.06 T := T
% 2.65/3.06 end
% 2.65/3.06 permutation0:
% 2.65/3.06 0 ==> 0
% 2.65/3.06 1 ==> 1
% 2.65/3.06 end
% 2.65/3.06
% 2.65/3.06 resolution: (19043) {G1,W15,D2,L3,V6,M3} { ! perp( Z, T, U, W ), perp( X,
% 2.65/3.06 Y, U, W ), ! para( X, Y, T, Z ) }.
% 2.65/3.06 parent0[0]: (9) {G0,W15,D2,L3,V6,M3} I { ! para( X, Y, U, W ), ! perp( U, W
% 2.65/3.06 , Z, T ), perp( X, Y, Z, T ) }.
% 2.65/3.06 parent1[1]: (3) {G0,W10,D2,L2,V4,M2} I { ! para( X, Y, Z, T ), para( X, Y,
% 2.65/3.06 T, Z ) }.
% 2.65/3.06 substitution0:
% 2.65/3.06 X := X
% 2.65/3.06 Y := Y
% 2.65/3.06 Z := U
% 2.65/3.06 T := W
% 2.65/3.06 U := Z
% 2.65/3.06 W := T
% 2.65/3.06 end
% 2.65/3.06 substitution1:
% 2.65/3.06 X := X
% 2.65/3.06 Y := Y
% 2.65/3.06 Z := T
% 2.65/3.06 T := Z
% 2.65/3.06 end
% 2.65/3.06
% 2.65/3.06 subsumption: (311) {G1,W15,D2,L3,V6,M3} R(9,3) { ! perp( X, Y, Z, T ), perp
% 2.65/3.06 ( U, W, Z, T ), ! para( U, W, Y, X ) }.
% 2.65/3.06 parent0: (19043) {G1,W15,D2,L3,V6,M3} { ! perp( Z, T, U, W ), perp( X, Y,
% 2.65/3.06 U, W ), ! para( X, Y, T, Z ) }.
% 2.65/3.06 substitution0:
% 2.65/3.06 X := U
% 2.65/3.06 Y := W
% 2.65/3.06 Z := X
% 2.65/3.06 T := Y
% 2.65/3.06 U := Z
% 2.65/3.06 W := T
% 2.65/3.06 end
% 2.65/3.06 permutation0:
% 2.65/3.06 0 ==> 0
% 2.65/3.06 1 ==> 1
% 2.65/3.06 2 ==> 2
% 2.65/3.06 end
% 2.65/3.06
% 2.65/3.06 resolution: (19044) {G1,W4,D2,L1,V0,M1} { midp( skol34, skol27, skol23 )
% 2.65/3.06 }.
% 2.65/3.06 parent0[0]: (10) {G0,W8,D2,L2,V3,M2} I { ! midp( Z, Y, X ), midp( Z, X, Y )
% 2.65/3.06 }.
% 2.65/3.06 parent1[0]: (120) {G0,W4,D2,L1,V0,M1} I { midp( skol34, skol23, skol27 )
% 2.65/3.06 }.
% 2.65/3.06 substitution0:
% 2.65/3.06 X := skol27
% 2.65/3.06 Y := skol23
% 2.65/3.06 Z := skol34
% 2.65/3.06 end
% 2.65/3.06 substitution1:
% 2.65/3.06 end
% 2.65/3.06
% 2.65/3.06 subsumption: (319) {G1,W4,D2,L1,V0,M1} R(10,120) { midp( skol34, skol27,
% 2.65/3.06 skol23 ) }.
% 2.65/3.06 parent0: (19044) {G1,W4,D2,L1,V0,M1} { midp( skol34, skol27, skol23 ) }.
% 2.65/3.06 substitution0:
% 2.65/3.06 end
% 2.65/3.06 permutation0:
% 2.65/3.06 0 ==> 0
% 2.65/3.06 end
% 2.65/3.06
% 2.65/3.06 resolution: (19045) {G1,W18,D2,L2,V8,M2} { eqangle( U, W, V0, V1, X, Y, Z
% 2.65/3.06 , T ), ! eqangle( Z, T, X, Y, V0, V1, U, W ) }.
% 2.65/3.06 parent0[0]: (19) {G0,W18,D2,L2,V8,M2} I { ! eqangle( X, Y, Z, T, U, W, V0,
% 2.65/3.06 V1 ), eqangle( U, W, V0, V1, X, Y, Z, T ) }.
% 2.65/3.06 parent1[1]: (18) {G0,W18,D2,L2,V8,M2} I { ! eqangle( X, Y, Z, T, U, W, V0,
% 2.65/3.06 V1 ), eqangle( Z, T, X, Y, V0, V1, U, W ) }.
% 2.65/3.06 substitution0:
% 2.65/3.06 X := X
% 2.65/3.06 Y := Y
% 2.65/3.06 Z := Z
% 2.65/3.06 T := T
% 2.65/3.06 U := U
% 2.65/3.06 W := W
% 2.65/3.06 V0 := V0
% 2.65/3.06 V1 := V1
% 2.65/3.06 end
% 2.65/3.06 substitution1:
% 2.65/3.06 X := Z
% 2.65/3.06 Y := T
% 2.65/3.06 Z := X
% 2.65/3.06 T := Y
% 2.65/3.06 U := V0
% 2.65/3.06 W := V1
% 2.65/3.06 V0 := U
% 2.65/3.06 V1 := W
% 2.65/3.06 end
% 2.65/3.06
% 2.65/3.06 subsumption: (414) {G1,W18,D2,L2,V8,M2} R(19,18) { eqangle( X, Y, Z, T, U,
% 2.65/3.06 W, V0, V1 ), ! eqangle( V0, V1, U, W, Z, T, X, Y ) }.
% 2.65/3.06 parent0: (19045) {G1,W18,D2,L2,V8,M2} { eqangle( U, W, V0, V1, X, Y, Z, T
% 2.65/3.06 ), ! eqangle( Z, T, X, Y, V0, V1, U, W ) }.
% 2.65/3.06 substitution0:
% 2.65/3.06 X := U
% 2.65/3.06 Y := W
% 2.65/3.06 Z := V0
% 2.65/3.06 T := V1
% 2.65/3.06 U := X
% 2.65/3.06 W := Y
% 2.65/3.06 V0 := Z
% 2.65/3.06 V1 := T
% 2.65/3.06 end
% 2.65/3.06 permutation0:
% 2.65/3.06 0 ==> 0
% 2.65/3.06 1 ==> 1
% 2.65/3.06 end
% 2.65/3.06
% 2.65/3.06 resolution: (19046) {G1,W18,D2,L2,V8,M2} { eqangle( U, W, V0, V1, X, Y, Z
% 2.65/3.06 , T ), ! eqangle( Y, X, Z, T, U, W, V0, V1 ) }.
% 2.65/3.06 parent0[0]: (19) {G0,W18,D2,L2,V8,M2} I { ! eqangle( X, Y, Z, T, U, W, V0,
% 2.65/3.06 V1 ), eqangle( U, W, V0, V1, X, Y, Z, T ) }.
% 2.65/3.06 parent1[1]: (17) {G0,W18,D2,L2,V8,M2} I { ! eqangle( X, Y, Z, T, U, W, V0,
% 2.65/3.06 V1 ), eqangle( Y, X, Z, T, U, W, V0, V1 ) }.
% 2.65/3.06 substitution0:
% 2.65/3.06 X := X
% 2.65/3.06 Y := Y
% 2.65/3.06 Z := Z
% 2.65/3.06 T := T
% 2.65/3.06 U := U
% 2.65/3.06 W := W
% 2.65/3.06 V0 := V0
% 2.65/3.06 V1 := V1
% 2.65/3.06 end
% 2.65/3.06 substitution1:
% 2.65/3.06 X := Y
% 2.65/3.06 Y := X
% 2.65/3.06 Z := Z
% 2.65/3.06 T := T
% 2.65/3.06 U := U
% 2.65/3.06 W := W
% 2.65/3.06 V0 := V0
% 2.65/3.06 V1 := V1
% 2.65/3.06 end
% 2.65/3.06
% 2.65/3.06 subsumption: (415) {G1,W18,D2,L2,V8,M2} R(19,17) { eqangle( X, Y, Z, T, U,
% 2.65/3.06 W, V0, V1 ), ! eqangle( W, U, V0, V1, X, Y, Z, T ) }.
% 2.65/3.06 parent0: (19046) {G1,W18,D2,L2,V8,M2} { eqangle( U, W, V0, V1, X, Y, Z, T
% 2.65/3.06 ), ! eqangle( Y, X, Z, T, U, W, V0, V1 ) }.
% 2.65/3.06 substitution0:
% 2.65/3.06 X := U
% 2.65/3.06 Y := W
% 2.65/3.06 Z := V0
% 2.65/3.06 T := V1
% 2.65/3.06 U := X
% 2.65/3.06 W := Y
% 2.65/3.06 V0 := Z
% 2.65/3.06 V1 := T
% 2.65/3.06 end
% 2.65/3.06 permutation0:
% 2.65/3.06 0 ==> 0
% 2.65/3.06 1 ==> 1
% 2.65/3.06 end
% 2.65/3.06
% 2.65/3.06 resolution: (19048) {G1,W18,D2,L2,V8,M2} { eqangle( Y, X, Z, T, U, W, V0,
% 2.65/3.06 V1 ), ! eqangle( U, W, V0, V1, X, Y, Z, T ) }.
% 2.65/3.06 parent0[0]: (17) {G0,W18,D2,L2,V8,M2} I { ! eqangle( X, Y, Z, T, U, W, V0,
% 2.65/3.06 V1 ), eqangle( Y, X, Z, T, U, W, V0, V1 ) }.
% 2.65/3.06 parent1[1]: (19) {G0,W18,D2,L2,V8,M2} I { ! eqangle( X, Y, Z, T, U, W, V0,
% 2.65/3.06 V1 ), eqangle( U, W, V0, V1, X, Y, Z, T ) }.
% 2.65/3.06 substitution0:
% 2.65/3.06 X := X
% 2.65/3.06 Y := Y
% 2.65/3.06 Z := Z
% 2.65/3.06 T := T
% 2.65/3.06 U := U
% 2.65/3.06 W := W
% 2.65/3.06 V0 := V0
% 2.65/3.06 V1 := V1
% 2.65/3.06 end
% 2.65/3.06 substitution1:
% 2.65/3.06 X := U
% 2.65/3.06 Y := W
% 2.65/3.06 Z := V0
% 2.65/3.06 T := V1
% 2.65/3.06 U := X
% 2.65/3.06 W := Y
% 2.65/3.06 V0 := Z
% 2.65/3.06 V1 := T
% 2.65/3.06 end
% 2.65/3.06
% 2.65/3.06 subsumption: (416) {G1,W18,D2,L2,V8,M2} R(19,17) { ! eqangle( X, Y, Z, T, U
% 2.65/3.06 , W, V0, V1 ), eqangle( W, U, V0, V1, X, Y, Z, T ) }.
% 2.65/3.06 parent0: (19048) {G1,W18,D2,L2,V8,M2} { eqangle( Y, X, Z, T, U, W, V0, V1
% 2.65/3.06 ), ! eqangle( U, W, V0, V1, X, Y, Z, T ) }.
% 2.65/3.06 substitution0:
% 2.65/3.06 X := U
% 2.65/3.06 Y := W
% 2.65/3.06 Z := V0
% 2.65/3.06 T := V1
% 2.65/3.06 U := X
% 2.65/3.06 W := Y
% 2.65/3.06 V0 := Z
% 2.65/3.06 V1 := T
% 2.65/3.06 end
% 2.65/3.06 permutation0:
% 2.65/3.06 0 ==> 1
% 2.65/3.06 1 ==> 0
% 2.65/3.06 end
% 2.65/3.06
% 2.65/3.06 resolution: (19050) {G1,W18,D2,L2,V8,M2} { eqangle( U, W, V0, V1, X, Y, Z
% 2.65/3.06 , T ), ! eqangle( X, Y, U, W, Z, T, V0, V1 ) }.
% 2.65/3.06 parent0[0]: (19) {G0,W18,D2,L2,V8,M2} I { ! eqangle( X, Y, Z, T, U, W, V0,
% 2.65/3.06 V1 ), eqangle( U, W, V0, V1, X, Y, Z, T ) }.
% 2.65/3.06 parent1[1]: (20) {G0,W18,D2,L2,V8,M2} I { ! eqangle( X, Y, Z, T, U, W, V0,
% 2.65/3.06 V1 ), eqangle( X, Y, U, W, Z, T, V0, V1 ) }.
% 2.65/3.06 substitution0:
% 2.65/3.06 X := X
% 2.65/3.06 Y := Y
% 2.65/3.06 Z := Z
% 2.65/3.06 T := T
% 2.65/3.06 U := U
% 2.65/3.06 W := W
% 2.65/3.06 V0 := V0
% 2.65/3.06 V1 := V1
% 2.65/3.06 end
% 2.65/3.06 substitution1:
% 2.65/3.06 X := X
% 2.65/3.06 Y := Y
% 2.65/3.06 Z := U
% 2.65/3.06 T := W
% 2.65/3.06 U := Z
% 2.65/3.06 W := T
% 2.65/3.06 V0 := V0
% 2.65/3.06 V1 := V1
% 2.65/3.06 end
% 2.65/3.06
% 2.65/3.06 subsumption: (427) {G1,W18,D2,L2,V8,M2} R(20,19) { ! eqangle( X, Y, Z, T, U
% 2.65/3.06 , W, V0, V1 ), eqangle( Z, T, V0, V1, X, Y, U, W ) }.
% 2.65/3.06 parent0: (19050) {G1,W18,D2,L2,V8,M2} { eqangle( U, W, V0, V1, X, Y, Z, T
% 2.65/3.06 ), ! eqangle( X, Y, U, W, Z, T, V0, V1 ) }.
% 2.65/3.06 substitution0:
% 2.65/3.06 X := X
% 2.65/3.06 Y := Y
% 2.65/3.06 Z := U
% 2.65/3.06 T := W
% 2.65/3.06 U := Z
% 2.65/3.06 W := T
% 2.65/3.06 V0 := V0
% 2.65/3.06 V1 := V1
% 2.65/3.06 end
% 2.65/3.06 permutation0:
% 2.65/3.06 0 ==> 1
% 2.65/3.06 1 ==> 0
% 2.65/3.06 end
% 2.65/3.06
% 2.65/3.06 resolution: (19051) {G1,W18,D2,L2,V8,M2} { eqangle( X, Y, U, W, Z, T, V0,
% 2.65/3.06 V1 ), ! eqangle( Y, X, Z, T, U, W, V0, V1 ) }.
% 2.65/3.06 parent0[0]: (20) {G0,W18,D2,L2,V8,M2} I { ! eqangle( X, Y, Z, T, U, W, V0,
% 2.65/3.06 V1 ), eqangle( X, Y, U, W, Z, T, V0, V1 ) }.
% 2.65/3.06 parent1[1]: (17) {G0,W18,D2,L2,V8,M2} I { ! eqangle( X, Y, Z, T, U, W, V0,
% 2.65/3.06 V1 ), eqangle( Y, X, Z, T, U, W, V0, V1 ) }.
% 2.65/3.06 substitution0:
% 2.65/3.06 X := X
% 2.65/3.06 Y := Y
% 2.65/3.06 Z := Z
% 2.65/3.06 T := T
% 2.65/3.06 U := U
% 2.65/3.06 W := W
% 2.65/3.06 V0 := V0
% 2.65/3.06 V1 := V1
% 2.65/3.06 end
% 2.65/3.06 substitution1:
% 2.65/3.06 X := Y
% 2.65/3.06 Y := X
% 2.65/3.06 Z := Z
% 2.65/3.06 T := T
% 2.65/3.06 U := U
% 2.65/3.06 W := W
% 2.65/3.06 V0 := V0
% 2.65/3.06 V1 := V1
% 2.65/3.06 end
% 2.65/3.06
% 2.65/3.06 subsumption: (428) {G1,W18,D2,L2,V8,M2} R(20,17) { eqangle( X, Y, Z, T, U,
% 2.65/3.06 W, V0, V1 ), ! eqangle( Y, X, U, W, Z, T, V0, V1 ) }.
% 2.65/3.06 parent0: (19051) {G1,W18,D2,L2,V8,M2} { eqangle( X, Y, U, W, Z, T, V0, V1
% 2.65/3.06 ), ! eqangle( Y, X, Z, T, U, W, V0, V1 ) }.
% 2.65/3.06 substitution0:
% 2.65/3.06 X := X
% 2.65/3.06 Y := Y
% 2.65/3.06 Z := U
% 2.65/3.06 T := W
% 2.65/3.06 U := Z
% 2.65/3.06 W := T
% 2.65/3.06 V0 := V0
% 2.65/3.06 V1 := V1
% 2.65/3.06 end
% 2.65/3.06 permutation0:
% 2.65/3.06 0 ==> 0
% 2.65/3.06 1 ==> 1
% 2.65/3.06 end
% 2.65/3.06
% 2.65/3.06 resolution: (19053) {G1,W15,D2,L3,V6,M3} { ! cong( X, Y, Z, T ), cong( X,
% 2.65/3.06 Y, U, W ), ! cong( U, W, Z, T ) }.
% 2.65/3.06 parent0[1]: (24) {G0,W15,D2,L3,V6,M3} I { ! cong( X, Y, U, W ), ! cong( U,
% 2.65/3.06 W, Z, T ), cong( X, Y, Z, T ) }.
% 2.65/3.06 parent1[1]: (23) {G0,W10,D2,L2,V4,M2} I { ! cong( X, Y, Z, T ), cong( Z, T
% 2.65/3.06 , X, Y ) }.
% 2.65/3.06 substitution0:
% 2.65/3.06 X := X
% 2.65/3.06 Y := Y
% 2.65/3.06 Z := U
% 2.65/3.06 T := W
% 2.65/3.06 U := Z
% 2.65/3.06 W := T
% 2.65/3.06 end
% 2.65/3.06 substitution1:
% 2.65/3.06 X := U
% 2.65/3.06 Y := W
% 2.65/3.06 Z := Z
% 2.65/3.06 T := T
% 2.65/3.06 end
% 2.65/3.06
% 2.65/3.06 subsumption: (499) {G1,W15,D2,L3,V6,M3} R(24,23) { ! cong( X, Y, Z, T ),
% 2.65/3.06 cong( X, Y, U, W ), ! cong( U, W, Z, T ) }.
% 2.65/3.06 parent0: (19053) {G1,W15,D2,L3,V6,M3} { ! cong( X, Y, Z, T ), cong( X, Y,
% 2.65/3.06 U, W ), ! cong( U, W, Z, T ) }.
% 2.65/3.06 substitution0:
% 2.65/3.06 X := X
% 2.65/3.06 Y := Y
% 2.65/3.06 Z := Z
% 2.65/3.06 T := T
% 2.65/3.06 U := U
% 2.65/3.06 W := W
% 2.65/3.06 end
% 2.65/3.06 permutation0:
% 2.65/3.06 0 ==> 0
% 2.65/3.06 1 ==> 1
% 2.65/3.06 2 ==> 2
% 2.65/3.06 end
% 2.65/3.06
% 2.65/3.06 factor: (19056) {G1,W10,D2,L2,V4,M2} { ! cong( X, Y, Z, T ), cong( X, Y, X
% 2.65/3.06 , Y ) }.
% 2.65/3.06 parent0[0, 2]: (499) {G1,W15,D2,L3,V6,M3} R(24,23) { ! cong( X, Y, Z, T ),
% 2.65/3.06 cong( X, Y, U, W ), ! cong( U, W, Z, T ) }.
% 2.65/3.06 substitution0:
% 2.65/3.06 X := X
% 2.65/3.06 Y := Y
% 2.65/3.06 Z := Z
% 2.65/3.06 T := T
% 2.65/3.06 U := X
% 2.65/3.06 W := Y
% 2.65/3.06 end
% 2.65/3.06
% 2.65/3.06 subsumption: (510) {G2,W10,D2,L2,V4,M2} F(499) { ! cong( X, Y, Z, T ), cong
% 2.65/3.06 ( X, Y, X, Y ) }.
% 2.65/3.06 parent0: (19056) {G1,W10,D2,L2,V4,M2} { ! cong( X, Y, Z, T ), cong( X, Y,
% 2.65/3.06 X, Y ) }.
% 2.65/3.06 substitution0:
% 2.65/3.06 X := X
% 2.65/3.06 Y := Y
% 2.65/3.06 Z := Z
% 2.65/3.06 T := T
% 2.65/3.06 end
% 2.65/3.06 permutation0:
% 2.65/3.06 0 ==> 0
% 2.65/3.06 1 ==> 1
% 2.65/3.06 end
% 2.65/3.06
% 2.65/3.06 resolution: (19057) {G1,W8,D2,L2,V3,M2} { coll( X, Y, Z ), ! midp( Y, Z, X
% 2.65/3.06 ) }.
% 2.65/3.06 parent0[1]: (170) {G1,W8,D2,L2,V3,M2} R(1,0) { coll( X, Y, Z ), ! coll( Y,
% 2.65/3.06 Z, X ) }.
% 2.65/3.06 parent1[1]: (69) {G0,W8,D2,L2,V3,M2} I { ! midp( X, Y, Z ), coll( X, Y, Z )
% 2.65/3.06 }.
% 2.65/3.06 substitution0:
% 2.65/3.06 X := X
% 2.65/3.06 Y := Y
% 2.65/3.06 Z := Z
% 2.65/3.06 end
% 2.65/3.06 substitution1:
% 2.65/3.06 X := Y
% 2.65/3.06 Y := Z
% 2.65/3.06 Z := X
% 2.65/3.06 end
% 2.65/3.06
% 2.65/3.06 subsumption: (522) {G2,W8,D2,L2,V3,M2} R(69,170) { ! midp( X, Y, Z ), coll
% 2.65/3.06 ( Z, X, Y ) }.
% 2.65/3.06 parent0: (19057) {G1,W8,D2,L2,V3,M2} { coll( X, Y, Z ), ! midp( Y, Z, X )
% 2.65/3.06 }.
% 2.65/3.06 substitution0:
% 2.65/3.06 X := Z
% 2.65/3.06 Y := X
% 2.65/3.06 Z := Y
% 2.65/3.06 end
% 2.65/3.06 permutation0:
% 2.65/3.06 0 ==> 1
% 2.65/3.06 1 ==> 0
% 2.65/3.06 end
% 2.65/3.06
% 2.65/3.06 resolution: (19058) {G1,W4,D2,L1,V0,M1} { coll( skol34, skol27, skol23 )
% 2.65/3.06 }.
% 2.65/3.06 parent0[0]: (69) {G0,W8,D2,L2,V3,M2} I { ! midp( X, Y, Z ), coll( X, Y, Z )
% 2.65/3.06 }.
% 2.65/3.06 parent1[0]: (319) {G1,W4,D2,L1,V0,M1} R(10,120) { midp( skol34, skol27,
% 2.65/3.06 skol23 ) }.
% 2.65/3.06 substitution0:
% 2.65/3.06 X := skol34
% 2.65/3.06 Y := skol27
% 2.65/3.06 Z := skol23
% 2.65/3.06 end
% 2.65/3.06 substitution1:
% 2.65/3.06 end
% 2.65/3.06
% 2.65/3.06 subsumption: (543) {G2,W4,D2,L1,V0,M1} R(69,319) { coll( skol34, skol27,
% 2.65/3.06 skol23 ) }.
% 2.65/3.06 parent0: (19058) {G1,W4,D2,L1,V0,M1} { coll( skol34, skol27, skol23 ) }.
% 2.65/3.06 substitution0:
% 2.65/3.06 end
% 2.65/3.06 permutation0:
% 2.65/3.06 0 ==> 0
% 2.65/3.06 end
% 2.65/3.06
% 2.65/3.06 resolution: (19059) {G1,W8,D2,L2,V3,M2} { coll( Y, X, Z ), ! midp( X, Y, Z
% 2.65/3.06 ) }.
% 2.65/3.06 parent0[0]: (1) {G0,W8,D2,L2,V3,M2} I { ! coll( X, Y, Z ), coll( Y, X, Z )
% 2.65/3.06 }.
% 2.65/3.06 parent1[1]: (69) {G0,W8,D2,L2,V3,M2} I { ! midp( X, Y, Z ), coll( X, Y, Z )
% 2.65/3.06 }.
% 2.65/3.06 substitution0:
% 2.65/3.06 X := X
% 2.65/3.06 Y := Y
% 2.65/3.06 Z := Z
% 2.65/3.06 end
% 2.65/3.06 substitution1:
% 2.65/3.06 X := X
% 2.65/3.06 Y := Y
% 2.65/3.06 Z := Z
% 2.65/3.06 end
% 2.65/3.06
% 2.65/3.06 subsumption: (548) {G1,W8,D2,L2,V3,M2} R(69,1) { ! midp( X, Y, Z ), coll( Y
% 2.65/3.06 , X, Z ) }.
% 2.65/3.06 parent0: (19059) {G1,W8,D2,L2,V3,M2} { coll( Y, X, Z ), ! midp( X, Y, Z )
% 2.65/3.06 }.
% 2.65/3.06 substitution0:
% 2.65/3.06 X := X
% 2.65/3.06 Y := Y
% 2.65/3.06 Z := Z
% 2.65/3.06 end
% 2.65/3.06 permutation0:
% 2.65/3.06 0 ==> 1
% 2.65/3.06 1 ==> 0
% 2.65/3.06 end
% 2.65/3.06
% 2.65/3.06 resolution: (19060) {G1,W4,D2,L1,V0,M1} { coll( skol34, skol23, skol27 )
% 2.65/3.06 }.
% 2.65/3.06 parent0[0]: (69) {G0,W8,D2,L2,V3,M2} I { ! midp( X, Y, Z ), coll( X, Y, Z )
% 2.65/3.06 }.
% 2.65/3.06 parent1[0]: (120) {G0,W4,D2,L1,V0,M1} I { midp( skol34, skol23, skol27 )
% 2.65/3.06 }.
% 2.65/3.06 substitution0:
% 2.65/3.06 X := skol34
% 2.65/3.06 Y := skol23
% 2.65/3.06 Z := skol27
% 2.65/3.06 end
% 2.65/3.06 substitution1:
% 2.65/3.06 end
% 2.65/3.06
% 2.65/3.06 subsumption: (549) {G1,W4,D2,L1,V0,M1} R(69,120) { coll( skol34, skol23,
% 2.65/3.06 skol27 ) }.
% 2.65/3.06 parent0: (19060) {G1,W4,D2,L1,V0,M1} { coll( skol34, skol23, skol27 ) }.
% 2.65/3.06 substitution0:
% 2.65/3.06 end
% 2.65/3.06 permutation0:
% 2.65/3.06 0 ==> 0
% 2.65/3.06 end
% 2.65/3.06
% 2.65/3.06 resolution: (19061) {G1,W4,D2,L1,V0,M1} { coll( skol27, skol34, skol23 )
% 2.65/3.06 }.
% 2.65/3.06 parent0[0]: (1) {G0,W8,D2,L2,V3,M2} I { ! coll( X, Y, Z ), coll( Y, X, Z )
% 2.65/3.06 }.
% 2.65/3.06 parent1[0]: (543) {G2,W4,D2,L1,V0,M1} R(69,319) { coll( skol34, skol27,
% 2.65/3.06 skol23 ) }.
% 2.65/3.06 substitution0:
% 2.65/3.06 X := skol34
% 2.65/3.06 Y := skol27
% 2.65/3.06 Z := skol23
% 2.65/3.06 end
% 2.65/3.06 substitution1:
% 2.65/3.06 end
% 2.65/3.06
% 2.65/3.06 subsumption: (574) {G3,W4,D2,L1,V0,M1} R(543,1) { coll( skol27, skol34,
% 2.65/3.06 skol23 ) }.
% 2.65/3.06 parent0: (19061) {G1,W4,D2,L1,V0,M1} { coll( skol27, skol34, skol23 ) }.
% 2.65/3.06 substitution0:
% 2.65/3.06 end
% 2.65/3.06 permutation0:
% 2.65/3.06 0 ==> 0
% 2.65/3.06 end
% 2.65/3.06
% 2.65/3.06 resolution: (19062) {G1,W8,D2,L2,V1,M2} { ! coll( skol27, skol34, X ),
% 2.65/3.06 coll( skol23, X, skol27 ) }.
% 2.65/3.06 parent0[0]: (2) {G0,W12,D2,L3,V4,M3} I { ! coll( X, T, Y ), ! coll( X, T, Z
% 2.65/3.06 ), coll( Y, Z, X ) }.
% 2.65/3.06 parent1[0]: (574) {G3,W4,D2,L1,V0,M1} R(543,1) { coll( skol27, skol34,
% 2.65/3.06 skol23 ) }.
% 2.65/3.06 substitution0:
% 2.65/3.06 X := skol27
% 2.65/3.06 Y := skol23
% 2.65/3.06 Z := X
% 2.65/3.06 T := skol34
% 2.65/3.06 end
% 2.65/3.06 substitution1:
% 2.65/3.06 end
% 2.65/3.06
% 2.65/3.06 subsumption: (616) {G4,W8,D2,L2,V1,M2} R(574,2) { ! coll( skol27, skol34, X
% 2.65/3.06 ), coll( skol23, X, skol27 ) }.
% 2.65/3.06 parent0: (19062) {G1,W8,D2,L2,V1,M2} { ! coll( skol27, skol34, X ), coll(
% 2.65/3.06 skol23, X, skol27 ) }.
% 2.65/3.06 substitution0:
% 2.65/3.06 X := X
% 2.65/3.06 end
% 2.65/3.06 permutation0:
% 2.65/3.06 0 ==> 0
% 2.65/3.06 1 ==> 1
% 2.65/3.06 end
% 2.65/3.06
% 2.65/3.06 resolution: (19064) {G1,W8,D2,L2,V1,M2} { ! coll( skol34, skol23, X ),
% 2.65/3.06 coll( skol27, X, skol34 ) }.
% 2.65/3.06 parent0[0]: (2) {G0,W12,D2,L3,V4,M3} I { ! coll( X, T, Y ), ! coll( X, T, Z
% 2.65/3.06 ), coll( Y, Z, X ) }.
% 2.65/3.06 parent1[0]: (549) {G1,W4,D2,L1,V0,M1} R(69,120) { coll( skol34, skol23,
% 2.65/3.06 skol27 ) }.
% 2.65/3.06 substitution0:
% 2.65/3.06 X := skol34
% 2.65/3.06 Y := skol27
% 2.65/3.06 Z := X
% 2.65/3.06 T := skol23
% 2.65/3.06 end
% 2.65/3.06 substitution1:
% 2.65/3.06 end
% 2.65/3.06
% 2.65/3.06 subsumption: (618) {G2,W8,D2,L2,V1,M2} R(549,2) { ! coll( skol34, skol23, X
% 2.65/3.06 ), coll( skol27, X, skol34 ) }.
% 2.65/3.06 parent0: (19064) {G1,W8,D2,L2,V1,M2} { ! coll( skol34, skol23, X ), coll(
% 2.65/3.06 skol27, X, skol34 ) }.
% 2.65/3.06 substitution0:
% 2.65/3.06 X := X
% 2.65/3.06 end
% 2.65/3.06 permutation0:
% 2.65/3.06 0 ==> 0
% 2.65/3.06 1 ==> 1
% 2.65/3.06 end
% 2.65/3.06
% 2.65/3.06 resolution: (19066) {G1,W23,D2,L3,V10,M3} { ! eqangle( U, W, Z, T, V0, V1
% 2.65/3.06 , V2, V3 ), eqangle( X, Y, Z, T, V0, V1, V2, V3 ), ! para( X, Y, U, W )
% 2.65/3.06 }.
% 2.65/3.06 parent0[0]: (21) {G0,W27,D2,L3,V12,M3} I { ! eqangle( X, Y, Z, T, V2, V3,
% 2.65/3.06 V4, V5 ), ! eqangle( V2, V3, V4, V5, U, W, V0, V1 ), eqangle( X, Y, Z, T
% 2.65/3.06 , U, W, V0, V1 ) }.
% 2.65/3.06 parent1[1]: (39) {G0,W14,D2,L2,V6,M2} I { ! para( X, Y, Z, T ), eqangle( X
% 2.65/3.06 , Y, U, W, Z, T, U, W ) }.
% 2.65/3.06 substitution0:
% 2.65/3.06 X := X
% 2.65/3.06 Y := Y
% 2.65/3.06 Z := Z
% 2.65/3.06 T := T
% 2.65/3.06 U := V0
% 2.65/3.06 W := V1
% 2.65/3.06 V0 := V2
% 2.65/3.06 V1 := V3
% 2.65/3.06 V2 := U
% 2.65/3.06 V3 := W
% 2.65/3.06 V4 := Z
% 2.65/3.06 V5 := T
% 2.65/3.06 end
% 2.65/3.06 substitution1:
% 2.65/3.06 X := X
% 2.65/3.06 Y := Y
% 2.65/3.06 Z := U
% 2.65/3.06 T := W
% 2.65/3.06 U := Z
% 2.65/3.06 W := T
% 2.65/3.06 end
% 2.65/3.06
% 2.65/3.06 subsumption: (687) {G1,W23,D2,L3,V10,M3} R(39,21) { ! para( X, Y, Z, T ), !
% 2.65/3.06 eqangle( Z, T, U, W, V0, V1, V2, V3 ), eqangle( X, Y, U, W, V0, V1, V2,
% 2.65/3.06 V3 ) }.
% 2.65/3.06 parent0: (19066) {G1,W23,D2,L3,V10,M3} { ! eqangle( U, W, Z, T, V0, V1, V2
% 2.65/3.06 , V3 ), eqangle( X, Y, Z, T, V0, V1, V2, V3 ), ! para( X, Y, U, W ) }.
% 2.65/3.06 substitution0:
% 2.65/3.06 X := X
% 2.65/3.06 Y := Y
% 2.65/3.06 Z := U
% 2.65/3.06 T := W
% 2.65/3.06 U := Z
% 2.65/3.06 W := T
% 2.65/3.06 V0 := V0
% 2.65/3.06 V1 := V1
% 2.65/3.06 V2 := V2
% 2.65/3.06 V3 := V3
% 2.65/3.06 end
% 2.65/3.06 permutation0:
% 2.65/3.06 0 ==> 1
% 2.65/3.06 1 ==> 2
% 2.65/3.06 2 ==> 0
% 2.65/3.06 end
% 2.65/3.06
% 2.65/3.06 resolution: (19068) {G1,W14,D2,L2,V6,M2} { eqangle( X, Y, U, W, Z, T, U, W
% 2.65/3.06 ), ! para( X, Y, T, Z ) }.
% 2.65/3.06 parent0[0]: (39) {G0,W14,D2,L2,V6,M2} I { ! para( X, Y, Z, T ), eqangle( X
% 2.65/3.06 , Y, U, W, Z, T, U, W ) }.
% 2.65/3.06 parent1[1]: (3) {G0,W10,D2,L2,V4,M2} I { ! para( X, Y, Z, T ), para( X, Y,
% 2.65/3.06 T, Z ) }.
% 2.65/3.06 substitution0:
% 2.65/3.06 X := X
% 2.65/3.06 Y := Y
% 2.65/3.06 Z := Z
% 2.65/3.06 T := T
% 2.65/3.06 U := U
% 2.65/3.06 W := W
% 2.65/3.06 end
% 2.65/3.06 substitution1:
% 2.65/3.06 X := X
% 2.65/3.06 Y := Y
% 2.65/3.06 Z := T
% 2.65/3.06 T := Z
% 2.65/3.06 end
% 2.65/3.06
% 2.65/3.06 subsumption: (695) {G1,W14,D2,L2,V6,M2} R(39,3) { eqangle( X, Y, Z, T, U, W
% 2.65/3.06 , Z, T ), ! para( X, Y, W, U ) }.
% 2.65/3.06 parent0: (19068) {G1,W14,D2,L2,V6,M2} { eqangle( X, Y, U, W, Z, T, U, W )
% 2.65/3.06 , ! para( X, Y, T, Z ) }.
% 2.65/3.06 substitution0:
% 2.65/3.06 X := X
% 2.65/3.06 Y := Y
% 2.65/3.06 Z := U
% 2.65/3.06 T := W
% 2.65/3.06 U := Z
% 2.65/3.06 W := T
% 2.65/3.06 end
% 2.65/3.06 permutation0:
% 2.65/3.06 0 ==> 0
% 2.65/3.06 1 ==> 1
% 2.65/3.06 end
% 2.65/3.06
% 2.65/3.06 resolution: (19069) {G2,W8,D2,L2,V1,M2} { coll( skol27, X, skol34 ), !
% 2.65/3.06 coll( X, skol34, skol23 ) }.
% 2.65/3.06 parent0[0]: (618) {G2,W8,D2,L2,V1,M2} R(549,2) { ! coll( skol34, skol23, X
% 2.65/3.06 ), coll( skol27, X, skol34 ) }.
% 2.65/3.06 parent1[1]: (171) {G1,W8,D2,L2,V3,M2} R(1,0) { ! coll( X, Y, Z ), coll( Y,
% 2.65/3.06 Z, X ) }.
% 2.65/3.06 substitution0:
% 2.65/3.06 X := X
% 2.65/3.06 end
% 2.65/3.06 substitution1:
% 2.65/3.06 X := X
% 2.65/3.06 Y := skol34
% 2.65/3.06 Z := skol23
% 2.65/3.06 end
% 2.65/3.06
% 2.65/3.06 subsumption: (705) {G3,W8,D2,L2,V1,M2} R(618,171) { coll( skol27, X, skol34
% 2.65/3.06 ), ! coll( X, skol34, skol23 ) }.
% 2.65/3.06 parent0: (19069) {G2,W8,D2,L2,V1,M2} { coll( skol27, X, skol34 ), ! coll(
% 2.65/3.06 X, skol34, skol23 ) }.
% 2.65/3.06 substitution0:
% 2.65/3.06 X := X
% 2.65/3.06 end
% 2.65/3.06 permutation0:
% 2.65/3.06 0 ==> 0
% 2.65/3.06 1 ==> 1
% 2.65/3.06 end
% 2.65/3.06
% 2.65/3.06 resolution: (19071) {G2,W8,D2,L2,V1,M2} { coll( X, skol34, skol27 ), !
% 2.65/3.06 coll( X, skol34, skol23 ) }.
% 2.65/3.06 parent0[0]: (171) {G1,W8,D2,L2,V3,M2} R(1,0) { ! coll( X, Y, Z ), coll( Y,
% 2.65/3.06 Z, X ) }.
% 2.65/3.06 parent1[0]: (705) {G3,W8,D2,L2,V1,M2} R(618,171) { coll( skol27, X, skol34
% 2.65/3.06 ), ! coll( X, skol34, skol23 ) }.
% 2.65/3.06 substitution0:
% 2.65/3.06 X := skol27
% 2.65/3.06 Y := X
% 2.65/3.06 Z := skol34
% 2.65/3.06 end
% 2.65/3.06 substitution1:
% 2.65/3.06 X := X
% 2.65/3.06 end
% 2.65/3.06
% 2.65/3.06 subsumption: (1700) {G4,W8,D2,L2,V1,M2} R(705,171) { ! coll( X, skol34,
% 2.65/3.06 skol23 ), coll( X, skol34, skol27 ) }.
% 2.65/3.06 parent0: (19071) {G2,W8,D2,L2,V1,M2} { coll( X, skol34, skol27 ), ! coll(
% 2.65/3.06 X, skol34, skol23 ) }.
% 2.65/3.06 substitution0:
% 2.65/3.06 X := X
% 2.65/3.06 end
% 2.65/3.06 permutation0:
% 2.65/3.06 0 ==> 1
% 2.65/3.06 1 ==> 0
% 2.65/3.06 end
% 2.65/3.06
% 2.65/3.06 resolution: (19074) {G1,W12,D2,L3,V2,M3} { ! coll( X, skol34, Y ), coll(
% 2.65/3.06 skol27, Y, X ), ! coll( X, skol34, skol23 ) }.
% 2.65/3.06 parent0[0]: (2) {G0,W12,D2,L3,V4,M3} I { ! coll( X, T, Y ), ! coll( X, T, Z
% 2.65/3.06 ), coll( Y, Z, X ) }.
% 2.65/3.06 parent1[1]: (1700) {G4,W8,D2,L2,V1,M2} R(705,171) { ! coll( X, skol34,
% 2.65/3.06 skol23 ), coll( X, skol34, skol27 ) }.
% 2.65/3.06 substitution0:
% 2.65/3.06 X := X
% 2.65/3.06 Y := skol27
% 2.65/3.06 Z := Y
% 2.65/3.06 T := skol34
% 2.65/3.06 end
% 2.65/3.06 substitution1:
% 2.65/3.06 X := X
% 2.65/3.06 end
% 2.65/3.06
% 2.65/3.06 subsumption: (1752) {G5,W12,D2,L3,V2,M3} R(1700,2) { ! coll( X, skol34,
% 2.65/3.06 skol23 ), ! coll( X, skol34, Y ), coll( skol27, Y, X ) }.
% 2.65/3.06 parent0: (19074) {G1,W12,D2,L3,V2,M3} { ! coll( X, skol34, Y ), coll(
% 2.65/3.06 skol27, Y, X ), ! coll( X, skol34, skol23 ) }.
% 2.65/3.06 substitution0:
% 2.65/3.06 X := X
% 2.65/3.06 Y := Y
% 2.65/3.06 end
% 2.65/3.06 permutation0:
% 2.65/3.06 0 ==> 1
% 2.65/3.06 1 ==> 2
% 2.65/3.06 2 ==> 0
% 2.65/3.06 end
% 2.65/3.06
% 2.65/3.06 factor: (19078) {G5,W8,D2,L2,V1,M2} { ! coll( X, skol34, skol23 ), coll(
% 2.65/3.06 skol27, skol23, X ) }.
% 2.65/3.06 parent0[0, 1]: (1752) {G5,W12,D2,L3,V2,M3} R(1700,2) { ! coll( X, skol34,
% 2.65/3.06 skol23 ), ! coll( X, skol34, Y ), coll( skol27, Y, X ) }.
% 2.65/3.06 substitution0:
% 2.65/3.06 X := X
% 2.65/3.06 Y := skol23
% 2.65/3.06 end
% 2.65/3.06
% 2.65/3.06 subsumption: (1757) {G6,W8,D2,L2,V1,M2} F(1752) { ! coll( X, skol34, skol23
% 2.65/3.06 ), coll( skol27, skol23, X ) }.
% 2.65/3.06 parent0: (19078) {G5,W8,D2,L2,V1,M2} { ! coll( X, skol34, skol23 ), coll(
% 2.65/3.06 skol27, skol23, X ) }.
% 2.65/3.06 substitution0:
% 2.65/3.06 X := X
% 2.65/3.06 end
% 2.65/3.06 permutation0:
% 2.65/3.06 0 ==> 0
% 2.65/3.06 1 ==> 1
% 2.65/3.06 end
% 2.65/3.06
% 2.65/3.06 resolution: (19079) {G1,W5,D2,L1,V0,M1} { cong( skol34, skol27, skol34,
% 2.65/3.06 skol23 ) }.
% 2.65/3.06 parent0[0]: (68) {G0,W9,D2,L2,V3,M2} I { ! midp( X, Y, Z ), cong( X, Y, X,
% 2.65/3.06 Z ) }.
% 2.65/3.06 parent1[0]: (319) {G1,W4,D2,L1,V0,M1} R(10,120) { midp( skol34, skol27,
% 2.65/3.06 skol23 ) }.
% 2.65/3.06 substitution0:
% 2.65/3.06 X := skol34
% 2.65/3.06 Y := skol27
% 2.65/3.06 Z := skol23
% 2.65/3.06 end
% 2.65/3.06 substitution1:
% 2.65/3.06 end
% 2.65/3.06
% 2.65/3.06 subsumption: (2466) {G2,W5,D2,L1,V0,M1} R(68,319) { cong( skol34, skol27,
% 2.65/3.06 skol34, skol23 ) }.
% 2.65/3.06 parent0: (19079) {G1,W5,D2,L1,V0,M1} { cong( skol34, skol27, skol34,
% 2.65/3.06 skol23 ) }.
% 2.65/3.06 substitution0:
% 2.65/3.06 end
% 2.65/3.06 permutation0:
% 2.65/3.06 0 ==> 0
% 2.65/3.06 end
% 2.65/3.06
% 2.65/3.06 resolution: (19080) {G1,W5,D2,L1,V0,M1} { cong( skol34, skol23, skol34,
% 2.65/3.06 skol27 ) }.
% 2.65/3.06 parent0[0]: (68) {G0,W9,D2,L2,V3,M2} I { ! midp( X, Y, Z ), cong( X, Y, X,
% 2.65/3.06 Z ) }.
% 2.65/3.06 parent1[0]: (120) {G0,W4,D2,L1,V0,M1} I { midp( skol34, skol23, skol27 )
% 2.65/3.06 }.
% 2.65/3.06 substitution0:
% 2.65/3.06 X := skol34
% 2.65/3.06 Y := skol23
% 2.65/3.06 Z := skol27
% 2.65/3.06 end
% 2.65/3.06 substitution1:
% 2.65/3.06 end
% 2.65/3.06
% 2.65/3.06 subsumption: (2467) {G1,W5,D2,L1,V0,M1} R(68,120) { cong( skol34, skol23,
% 2.65/3.06 skol34, skol27 ) }.
% 2.65/3.06 parent0: (19080) {G1,W5,D2,L1,V0,M1} { cong( skol34, skol23, skol34,
% 2.65/3.06 skol27 ) }.
% 2.65/3.06 substitution0:
% 2.65/3.06 end
% 2.65/3.06 permutation0:
% 2.65/3.06 0 ==> 0
% 2.65/3.06 end
% 2.65/3.06
% 2.65/3.06 resolution: (19081) {G1,W5,D2,L1,V0,M1} { cong( skol34, skol27, skol23,
% 2.65/3.06 skol34 ) }.
% 2.65/3.06 parent0[0]: (22) {G0,W10,D2,L2,V4,M2} I { ! cong( X, Y, Z, T ), cong( X, Y
% 2.65/3.06 , T, Z ) }.
% 2.65/3.06 parent1[0]: (2466) {G2,W5,D2,L1,V0,M1} R(68,319) { cong( skol34, skol27,
% 2.65/3.06 skol34, skol23 ) }.
% 2.65/3.06 substitution0:
% 2.65/3.06 X := skol34
% 2.65/3.06 Y := skol27
% 2.65/3.06 Z := skol34
% 2.65/3.06 T := skol23
% 2.65/3.06 end
% 2.65/3.06 substitution1:
% 2.65/3.06 end
% 2.65/3.06
% 2.65/3.06 subsumption: (2476) {G3,W5,D2,L1,V0,M1} R(2466,22) { cong( skol34, skol27,
% 2.65/3.06 skol23, skol34 ) }.
% 2.65/3.06 parent0: (19081) {G1,W5,D2,L1,V0,M1} { cong( skol34, skol27, skol23,
% 2.65/3.06 skol34 ) }.
% 2.65/3.06 substitution0:
% 2.65/3.06 end
% 2.65/3.06 permutation0:
% 2.65/3.06 0 ==> 0
% 2.65/3.06 end
% 2.65/3.06
% 2.65/3.06 resolution: (19082) {G2,W8,D2,L2,V1,M2} { coll( skol27, skol23, X ), !
% 2.65/3.06 midp( skol34, X, skol23 ) }.
% 2.65/3.06 parent0[0]: (1757) {G6,W8,D2,L2,V1,M2} F(1752) { ! coll( X, skol34, skol23
% 2.65/3.06 ), coll( skol27, skol23, X ) }.
% 2.65/3.06 parent1[1]: (548) {G1,W8,D2,L2,V3,M2} R(69,1) { ! midp( X, Y, Z ), coll( Y
% 2.65/3.06 , X, Z ) }.
% 2.65/3.06 substitution0:
% 2.65/3.06 X := X
% 2.65/3.06 end
% 2.65/3.06 substitution1:
% 2.65/3.06 X := skol34
% 2.65/3.06 Y := X
% 2.65/3.06 Z := skol23
% 2.65/3.06 end
% 2.65/3.06
% 2.65/3.06 subsumption: (2596) {G7,W8,D2,L2,V1,M2} R(1757,548) { coll( skol27, skol23
% 2.65/3.06 , X ), ! midp( skol34, X, skol23 ) }.
% 2.65/3.06 parent0: (19082) {G2,W8,D2,L2,V1,M2} { coll( skol27, skol23, X ), ! midp(
% 2.65/3.06 skol34, X, skol23 ) }.
% 2.65/3.06 substitution0:
% 2.65/3.06 X := X
% 2.65/3.06 end
% 2.65/3.06 permutation0:
% 2.65/3.06 0 ==> 0
% 2.65/3.06 1 ==> 1
% 2.65/3.06 end
% 2.65/3.06
% 2.65/3.06 resolution: (19083) {G3,W8,D2,L2,V1,M2} { coll( skol27, skol23, X ), !
% 2.65/3.06 midp( skol34, skol23, X ) }.
% 2.65/3.06 parent0[0]: (1757) {G6,W8,D2,L2,V1,M2} F(1752) { ! coll( X, skol34, skol23
% 2.65/3.06 ), coll( skol27, skol23, X ) }.
% 2.65/3.06 parent1[1]: (522) {G2,W8,D2,L2,V3,M2} R(69,170) { ! midp( X, Y, Z ), coll(
% 2.65/3.06 Z, X, Y ) }.
% 2.65/3.06 substitution0:
% 2.65/3.06 X := X
% 2.65/3.06 end
% 2.65/3.06 substitution1:
% 2.65/3.06 X := skol34
% 2.65/3.06 Y := skol23
% 2.65/3.06 Z := X
% 2.65/3.06 end
% 2.65/3.06
% 2.65/3.06 subsumption: (2599) {G7,W8,D2,L2,V1,M2} R(1757,522) { coll( skol27, skol23
% 2.65/3.06 , X ), ! midp( skol34, skol23, X ) }.
% 2.65/3.06 parent0: (19083) {G3,W8,D2,L2,V1,M2} { coll( skol27, skol23, X ), ! midp(
% 2.65/3.06 skol34, skol23, X ) }.
% 2.65/3.06 substitution0:
% 2.65/3.06 X := X
% 2.65/3.06 end
% 2.65/3.06 permutation0:
% 2.65/3.06 0 ==> 0
% 2.65/3.06 1 ==> 1
% 2.65/3.06 end
% 2.65/3.06
% 2.65/3.06 resolution: (19084) {G2,W8,D2,L2,V1,M2} { coll( X, skol27, skol23 ), !
% 2.65/3.06 midp( skol34, X, skol23 ) }.
% 2.65/3.06 parent0[1]: (170) {G1,W8,D2,L2,V3,M2} R(1,0) { coll( X, Y, Z ), ! coll( Y,
% 2.65/3.06 Z, X ) }.
% 2.65/3.06 parent1[0]: (2596) {G7,W8,D2,L2,V1,M2} R(1757,548) { coll( skol27, skol23,
% 2.65/3.06 X ), ! midp( skol34, X, skol23 ) }.
% 2.65/3.06 substitution0:
% 2.65/3.06 X := X
% 2.65/3.06 Y := skol27
% 2.65/3.06 Z := skol23
% 2.65/3.06 end
% 2.65/3.06 substitution1:
% 2.65/3.06 X := X
% 2.65/3.06 end
% 2.65/3.06
% 2.65/3.06 subsumption: (2648) {G8,W8,D2,L2,V1,M2} R(2596,170) { ! midp( skol34, X,
% 2.65/3.06 skol23 ), coll( X, skol27, skol23 ) }.
% 2.65/3.06 parent0: (19084) {G2,W8,D2,L2,V1,M2} { coll( X, skol27, skol23 ), ! midp(
% 2.65/3.06 skol34, X, skol23 ) }.
% 2.65/3.06 substitution0:
% 2.65/3.06 X := X
% 2.65/3.06 end
% 2.65/3.06 permutation0:
% 2.65/3.06 0 ==> 1
% 2.65/3.06 1 ==> 0
% 2.65/3.06 end
% 2.65/3.06
% 2.65/3.06 resolution: (19085) {G2,W8,D2,L2,V1,M2} { coll( skol23, X, skol27 ), !
% 2.65/3.06 midp( skol34, skol27, X ) }.
% 2.65/3.06 parent0[0]: (616) {G4,W8,D2,L2,V1,M2} R(574,2) { ! coll( skol27, skol34, X
% 2.65/3.06 ), coll( skol23, X, skol27 ) }.
% 2.65/3.06 parent1[1]: (548) {G1,W8,D2,L2,V3,M2} R(69,1) { ! midp( X, Y, Z ), coll( Y
% 2.65/3.06 , X, Z ) }.
% 2.65/3.06 substitution0:
% 2.65/3.06 X := X
% 2.65/3.06 end
% 2.65/3.06 substitution1:
% 2.65/3.06 X := skol34
% 2.65/3.06 Y := skol27
% 2.65/3.06 Z := X
% 2.65/3.06 end
% 2.65/3.06
% 2.65/3.06 subsumption: (4107) {G5,W8,D2,L2,V1,M2} R(616,548) { coll( skol23, X,
% 2.65/3.06 skol27 ), ! midp( skol34, skol27, X ) }.
% 2.65/3.06 parent0: (19085) {G2,W8,D2,L2,V1,M2} { coll( skol23, X, skol27 ), ! midp(
% 2.65/3.06 skol34, skol27, X ) }.
% 2.65/3.06 substitution0:
% 2.65/3.06 X := X
% 2.65/3.06 end
% 2.65/3.06 permutation0:
% 2.65/3.06 0 ==> 0
% 2.65/3.06 1 ==> 1
% 2.65/3.06 end
% 2.65/3.06
% 2.65/3.06 resolution: (19086) {G2,W8,D2,L2,V1,M2} { coll( X, skol27, skol23 ), !
% 2.65/3.06 midp( skol34, skol27, X ) }.
% 2.65/3.06 parent0[0]: (171) {G1,W8,D2,L2,V3,M2} R(1,0) { ! coll( X, Y, Z ), coll( Y,
% 2.65/3.06 Z, X ) }.
% 2.65/3.06 parent1[0]: (4107) {G5,W8,D2,L2,V1,M2} R(616,548) { coll( skol23, X, skol27
% 2.65/3.06 ), ! midp( skol34, skol27, X ) }.
% 2.65/3.06 substitution0:
% 2.65/3.06 X := skol23
% 2.65/3.06 Y := X
% 2.65/3.06 Z := skol27
% 2.65/3.06 end
% 2.65/3.06 substitution1:
% 2.65/3.06 X := X
% 2.65/3.06 end
% 2.65/3.06
% 2.65/3.06 subsumption: (4133) {G6,W8,D2,L2,V1,M2} R(4107,171) { ! midp( skol34,
% 2.65/3.06 skol27, X ), coll( X, skol27, skol23 ) }.
% 2.65/3.06 parent0: (19086) {G2,W8,D2,L2,V1,M2} { coll( X, skol27, skol23 ), ! midp(
% 2.65/3.06 skol34, skol27, X ) }.
% 2.65/3.06 substitution0:
% 2.65/3.06 X := X
% 2.65/3.06 end
% 2.65/3.06 permutation0:
% 2.65/3.06 0 ==> 1
% 2.65/3.06 1 ==> 0
% 2.65/3.06 end
% 2.65/3.06
% 2.65/3.06 resolution: (19087) {G1,W8,D2,L2,V1,M2} { coll( X, skol27, skol23 ), !
% 2.65/3.06 midp( skol34, X, skol27 ) }.
% 2.65/3.06 parent0[0]: (4133) {G6,W8,D2,L2,V1,M2} R(4107,171) { ! midp( skol34, skol27
% 2.65/3.06 , X ), coll( X, skol27, skol23 ) }.
% 2.65/3.06 parent1[1]: (10) {G0,W8,D2,L2,V3,M2} I { ! midp( Z, Y, X ), midp( Z, X, Y )
% 2.65/3.06 }.
% 2.65/3.06 substitution0:
% 2.65/3.06 X := X
% 2.65/3.06 end
% 2.65/3.06 substitution1:
% 2.65/3.06 X := skol27
% 2.65/3.06 Y := X
% 2.65/3.06 Z := skol34
% 2.65/3.06 end
% 2.65/3.06
% 2.65/3.06 subsumption: (4149) {G7,W8,D2,L2,V1,M2} R(4133,10) { coll( X, skol27,
% 2.65/3.06 skol23 ), ! midp( skol34, X, skol27 ) }.
% 2.65/3.06 parent0: (19087) {G1,W8,D2,L2,V1,M2} { coll( X, skol27, skol23 ), ! midp(
% 2.65/3.06 skol34, X, skol27 ) }.
% 2.65/3.06 substitution0:
% 2.65/3.06 X := X
% 2.65/3.06 end
% 2.65/3.06 permutation0:
% 2.65/3.06 0 ==> 0
% 2.65/3.06 1 ==> 1
% 2.65/3.06 end
% 2.65/3.06
% 2.65/3.06 resolution: (19088) {G1,W8,D2,L2,V1,M2} { coll( X, skol23, skol27 ), !
% 2.65/3.06 midp( skol34, X, skol27 ) }.
% 2.65/3.06 parent0[0]: (0) {G0,W8,D2,L2,V3,M2} I { ! coll( X, Y, Z ), coll( X, Z, Y )
% 2.65/3.06 }.
% 2.65/3.06 parent1[0]: (4149) {G7,W8,D2,L2,V1,M2} R(4133,10) { coll( X, skol27, skol23
% 2.65/3.06 ), ! midp( skol34, X, skol27 ) }.
% 2.65/3.06 substitution0:
% 2.65/3.06 X := X
% 2.65/3.06 Y := skol27
% 2.65/3.06 Z := skol23
% 2.65/3.06 end
% 2.65/3.06 substitution1:
% 2.65/3.06 X := X
% 2.65/3.06 end
% 2.65/3.06
% 2.65/3.06 subsumption: (4166) {G8,W8,D2,L2,V1,M2} R(4149,0) { ! midp( skol34, X,
% 2.65/3.06 skol27 ), coll( X, skol23, skol27 ) }.
% 2.65/3.06 parent0: (19088) {G1,W8,D2,L2,V1,M2} { coll( X, skol23, skol27 ), ! midp(
% 2.65/3.06 skol34, X, skol27 ) }.
% 2.65/3.06 substitution0:
% 2.65/3.06 X := X
% 2.65/3.06 end
% 2.65/3.06 permutation0:
% 2.65/3.06 0 ==> 1
% 2.65/3.06 1 ==> 0
% 2.65/3.06 end
% 2.65/3.06
% 2.65/3.06 resolution: (19089) {G1,W7,D3,L1,V0,M1} { perp( skol12( skol27, skol20 ),
% 2.65/3.06 skol27, skol27, skol20 ) }.
% 2.65/3.06 parent0[0]: (100) {G0,W12,D3,L2,V4,M2} I { ! circle( Y, X, Z, T ), perp(
% 2.65/3.06 skol12( X, Y ), X, X, Y ) }.
% 2.65/3.06 parent1[0]: (116) {G0,W5,D2,L1,V0,M1} I { circle( skol20, skol27, skol28,
% 2.65/3.06 skol29 ) }.
% 2.65/3.06 substitution0:
% 2.65/3.06 X := skol27
% 2.65/3.06 Y := skol20
% 2.65/3.06 Z := skol28
% 2.65/3.06 T := skol29
% 2.65/3.06 end
% 2.65/3.06 substitution1:
% 2.65/3.06 end
% 2.65/3.06
% 2.65/3.06 subsumption: (4729) {G1,W7,D3,L1,V0,M1} R(100,116) { perp( skol12( skol27,
% 2.65/3.06 skol20 ), skol27, skol27, skol20 ) }.
% 2.65/3.06 parent0: (19089) {G1,W7,D3,L1,V0,M1} { perp( skol12( skol27, skol20 ),
% 2.65/3.06 skol27, skol27, skol20 ) }.
% 2.65/3.06 substitution0:
% 2.65/3.06 end
% 2.65/3.06 permutation0:
% 2.65/3.06 0 ==> 0
% 2.65/3.06 end
% 2.65/3.06
% 2.65/3.06 resolution: (19090) {G1,W7,D3,L1,V0,M1} { perp( skol27, skol20, skol12(
% 2.65/3.06 skol27, skol20 ), skol27 ) }.
% 2.65/3.06 parent0[0]: (7) {G0,W10,D2,L2,V4,M2} I { ! perp( X, Y, Z, T ), perp( Z, T,
% 2.65/3.06 X, Y ) }.
% 2.65/3.06 parent1[0]: (4729) {G1,W7,D3,L1,V0,M1} R(100,116) { perp( skol12( skol27,
% 2.65/3.06 skol20 ), skol27, skol27, skol20 ) }.
% 2.65/3.06 substitution0:
% 2.65/3.06 X := skol12( skol27, skol20 )
% 2.65/3.06 Y := skol27
% 2.65/3.06 Z := skol27
% 2.65/3.06 T := skol20
% 2.65/3.06 end
% 2.65/3.06 substitution1:
% 2.65/3.06 end
% 2.65/3.06
% 2.65/3.06 subsumption: (4743) {G2,W7,D3,L1,V0,M1} R(4729,7) { perp( skol27, skol20,
% 2.65/3.06 skol12( skol27, skol20 ), skol27 ) }.
% 2.65/3.06 parent0: (19090) {G1,W7,D3,L1,V0,M1} { perp( skol27, skol20, skol12(
% 2.65/3.06 skol27, skol20 ), skol27 ) }.
% 2.65/3.06 substitution0:
% 2.65/3.06 end
% 2.65/3.06 permutation0:
% 2.65/3.06 0 ==> 0
% 2.65/3.06 end
% 2.65/3.06
% 2.65/3.06 resolution: (19091) {G1,W7,D3,L1,V0,M1} { perp( skol27, skol20, skol27,
% 2.65/3.06 skol12( skol27, skol20 ) ) }.
% 2.65/3.06 parent0[0]: (6) {G0,W10,D2,L2,V4,M2} I { ! perp( X, Y, Z, T ), perp( X, Y,
% 2.65/3.06 T, Z ) }.
% 2.65/3.06 parent1[0]: (4743) {G2,W7,D3,L1,V0,M1} R(4729,7) { perp( skol27, skol20,
% 2.65/3.06 skol12( skol27, skol20 ), skol27 ) }.
% 2.65/3.06 substitution0:
% 2.65/3.06 X := skol27
% 2.65/3.06 Y := skol20
% 2.65/3.06 Z := skol12( skol27, skol20 )
% 2.65/3.06 T := skol27
% 2.65/3.06 end
% 2.65/3.06 substitution1:
% 2.65/3.06 end
% 2.65/3.06
% 2.65/3.06 subsumption: (4754) {G3,W7,D3,L1,V0,M1} R(4743,6) { perp( skol27, skol20,
% 2.65/3.06 skol27, skol12( skol27, skol20 ) ) }.
% 2.65/3.06 parent0: (19091) {G1,W7,D3,L1,V0,M1} { perp( skol27, skol20, skol27,
% 2.65/3.06 skol12( skol27, skol20 ) ) }.
% 2.65/3.06 substitution0:
% 2.65/3.06 end
% 2.65/3.06 permutation0:
% 2.65/3.06 0 ==> 0
% 2.65/3.06 end
% 2.65/3.06
% 2.65/3.06 resolution: (19092) {G1,W9,D2,L1,V0,M1} { ! eqangle( skol23, skol24,
% 2.65/3.06 skol23, skol25, skol20, skol26, skol26, skol22 ) }.
% 2.65/3.06 parent0[0]: (126) {G0,W9,D2,L1,V0,M1} I { ! eqangle( skol24, skol23, skol23
% 2.65/3.06 , skol25, skol20, skol26, skol26, skol22 ) }.
% 2.65/3.06 parent1[1]: (17) {G0,W18,D2,L2,V8,M2} I { ! eqangle( X, Y, Z, T, U, W, V0,
% 2.65/3.06 V1 ), eqangle( Y, X, Z, T, U, W, V0, V1 ) }.
% 2.65/3.06 substitution0:
% 2.65/3.06 end
% 2.65/3.06 substitution1:
% 2.65/3.06 X := skol23
% 2.65/3.06 Y := skol24
% 2.65/3.06 Z := skol23
% 2.65/3.06 T := skol25
% 2.65/3.06 U := skol20
% 2.65/3.06 W := skol26
% 2.65/3.06 V0 := skol26
% 2.65/3.06 V1 := skol22
% 2.65/3.06 end
% 2.65/3.06
% 2.65/3.06 subsumption: (7105) {G1,W9,D2,L1,V0,M1} R(126,17) { ! eqangle( skol23,
% 2.65/3.06 skol24, skol23, skol25, skol20, skol26, skol26, skol22 ) }.
% 2.65/3.06 parent0: (19092) {G1,W9,D2,L1,V0,M1} { ! eqangle( skol23, skol24, skol23,
% 2.65/3.06 skol25, skol20, skol26, skol26, skol22 ) }.
% 2.65/3.06 substitution0:
% 2.65/3.06 end
% 2.65/3.06 permutation0:
% 2.65/3.06 0 ==> 0
% 2.65/3.06 end
% 2.65/3.06
% 2.65/3.06 resolution: (19093) {G2,W5,D2,L1,V0,M1} { circle( skol34, skol23, skol27,
% 2.65/3.06 skol27 ) }.
% 2.65/3.06 parent0[0]: (129) {G1,W10,D2,L2,V3,M2} F(11) { ! cong( X, Y, X, Z ), circle
% 2.65/3.06 ( X, Y, Z, Z ) }.
% 2.65/3.06 parent1[0]: (2467) {G1,W5,D2,L1,V0,M1} R(68,120) { cong( skol34, skol23,
% 2.65/3.06 skol34, skol27 ) }.
% 2.65/3.06 substitution0:
% 2.65/3.06 X := skol34
% 2.65/3.06 Y := skol23
% 2.65/3.06 Z := skol27
% 2.65/3.06 end
% 2.65/3.06 substitution1:
% 2.65/3.06 end
% 2.65/3.06
% 2.65/3.06 subsumption: (7162) {G2,W5,D2,L1,V0,M1} R(129,2467) { circle( skol34,
% 2.65/3.06 skol23, skol27, skol27 ) }.
% 2.65/3.06 parent0: (19093) {G2,W5,D2,L1,V0,M1} { circle( skol34, skol23, skol27,
% 2.65/3.06 skol27 ) }.
% 2.65/3.06 substitution0:
% 2.65/3.06 end
% 2.65/3.06 permutation0:
% 2.65/3.06 0 ==> 0
% 2.65/3.06 end
% 2.65/3.06
% 2.65/3.06 resolution: (19094) {G2,W5,D2,L1,V0,M1} { circle( skol34, skol27, skol23,
% 2.65/3.06 skol23 ) }.
% 2.65/3.06 parent0[0]: (129) {G1,W10,D2,L2,V3,M2} F(11) { ! cong( X, Y, X, Z ), circle
% 2.65/3.06 ( X, Y, Z, Z ) }.
% 2.65/3.06 parent1[0]: (2466) {G2,W5,D2,L1,V0,M1} R(68,319) { cong( skol34, skol27,
% 2.65/3.06 skol34, skol23 ) }.
% 2.65/3.06 substitution0:
% 2.65/3.06 X := skol34
% 2.65/3.06 Y := skol27
% 2.65/3.06 Z := skol23
% 2.65/3.06 end
% 2.65/3.06 substitution1:
% 2.65/3.06 end
% 2.65/3.06
% 2.65/3.06 subsumption: (7163) {G3,W5,D2,L1,V0,M1} R(129,2466) { circle( skol34,
% 2.65/3.06 skol27, skol23, skol23 ) }.
% 2.65/3.06 parent0: (19094) {G2,W5,D2,L1,V0,M1} { circle( skol34, skol27, skol23,
% 2.65/3.06 skol23 ) }.
% 2.65/3.06 substitution0:
% 2.65/3.06 end
% 2.65/3.06 permutation0:
% 2.65/3.06 0 ==> 0
% 2.65/3.06 end
% 2.65/3.06
% 2.65/3.06 resolution: (19095) {G1,W7,D3,L1,V0,M1} { perp( skol12( skol23, skol34 ),
% 2.65/3.06 skol23, skol23, skol34 ) }.
% 2.65/3.06 parent0[0]: (100) {G0,W12,D3,L2,V4,M2} I { ! circle( Y, X, Z, T ), perp(
% 2.65/3.06 skol12( X, Y ), X, X, Y ) }.
% 2.65/3.06 parent1[0]: (7162) {G2,W5,D2,L1,V0,M1} R(129,2467) { circle( skol34, skol23
% 2.65/3.06 , skol27, skol27 ) }.
% 2.65/3.06 substitution0:
% 2.65/3.06 X := skol23
% 2.65/3.06 Y := skol34
% 2.65/3.06 Z := skol27
% 2.65/3.06 T := skol27
% 2.65/3.06 end
% 2.65/3.06 substitution1:
% 2.65/3.06 end
% 2.65/3.06
% 2.65/3.06 subsumption: (7171) {G3,W7,D3,L1,V0,M1} R(7162,100) { perp( skol12( skol23
% 2.65/3.06 , skol34 ), skol23, skol23, skol34 ) }.
% 2.65/3.06 parent0: (19095) {G1,W7,D3,L1,V0,M1} { perp( skol12( skol23, skol34 ),
% 2.65/3.06 skol23, skol23, skol34 ) }.
% 2.65/3.06 substitution0:
% 2.65/3.06 end
% 2.65/3.06 permutation0:
% 2.65/3.06 0 ==> 0
% 2.65/3.06 end
% 2.65/3.06
% 2.65/3.06 resolution: (19096) {G1,W7,D3,L1,V0,M1} { perp( skol12( skol27, skol34 ),
% 2.65/3.06 skol27, skol27, skol34 ) }.
% 2.65/3.06 parent0[0]: (100) {G0,W12,D3,L2,V4,M2} I { ! circle( Y, X, Z, T ), perp(
% 2.65/3.06 skol12( X, Y ), X, X, Y ) }.
% 2.65/3.06 parent1[0]: (7163) {G3,W5,D2,L1,V0,M1} R(129,2466) { circle( skol34, skol27
% 2.65/3.06 , skol23, skol23 ) }.
% 2.65/3.06 substitution0:
% 2.65/3.06 X := skol27
% 2.65/3.06 Y := skol34
% 2.65/3.06 Z := skol23
% 2.65/3.06 T := skol23
% 2.65/3.06 end
% 2.65/3.06 substitution1:
% 2.65/3.06 end
% 2.65/3.06
% 2.65/3.06 subsumption: (7259) {G4,W7,D3,L1,V0,M1} R(7163,100) { perp( skol12( skol27
% 2.65/3.06 , skol34 ), skol27, skol27, skol34 ) }.
% 2.65/3.06 parent0: (19096) {G1,W7,D3,L1,V0,M1} { perp( skol12( skol27, skol34 ),
% 2.65/3.06 skol27, skol27, skol34 ) }.
% 2.65/3.06 substitution0:
% 2.65/3.06 end
% 2.65/3.06 permutation0:
% 2.65/3.06 0 ==> 0
% 2.65/3.06 end
% 2.65/3.06
% 2.65/3.06 resolution: (19097) {G2,W5,D2,L1,V0,M1} { cyclic( skol23, skol27, skol27,
% 2.65/3.06 skol27 ) }.
% 2.65/3.06 parent0[0]: (133) {G2,W10,D2,L2,V3,M2} F(132) { ! cong( X, Y, X, Z ),
% 2.65/3.06 cyclic( Y, Z, Z, Z ) }.
% 2.65/3.06 parent1[0]: (2467) {G1,W5,D2,L1,V0,M1} R(68,120) { cong( skol34, skol23,
% 2.65/3.06 skol34, skol27 ) }.
% 2.65/3.06 substitution0:
% 2.65/3.06 X := skol34
% 2.65/3.06 Y := skol23
% 2.65/3.06 Z := skol27
% 2.65/3.06 end
% 2.65/3.06 substitution1:
% 2.65/3.06 end
% 2.65/3.06
% 2.65/3.06 subsumption: (7319) {G3,W5,D2,L1,V0,M1} R(133,2467) { cyclic( skol23,
% 2.65/3.06 skol27, skol27, skol27 ) }.
% 2.65/3.06 parent0: (19097) {G2,W5,D2,L1,V0,M1} { cyclic( skol23, skol27, skol27,
% 2.65/3.06 skol27 ) }.
% 2.65/3.06 substitution0:
% 2.65/3.06 end
% 2.65/3.06 permutation0:
% 2.65/3.06 0 ==> 0
% 2.65/3.06 end
% 2.65/3.06
% 2.65/3.06 resolution: (19098) {G2,W5,D2,L1,V0,M1} { cyclic( skol27, skol27, skol27,
% 2.65/3.06 skol27 ) }.
% 2.65/3.06 parent0[0]: (134) {G1,W10,D2,L2,V4,M2} F(16) { ! cyclic( X, Y, Z, T ),
% 2.65/3.06 cyclic( Y, Z, T, T ) }.
% 2.65/3.06 parent1[0]: (7319) {G3,W5,D2,L1,V0,M1} R(133,2467) { cyclic( skol23, skol27
% 2.65/3.06 , skol27, skol27 ) }.
% 2.65/3.06 substitution0:
% 2.65/3.06 X := skol23
% 2.65/3.06 Y := skol27
% 2.65/3.06 Z := skol27
% 2.65/3.06 T := skol27
% 2.65/3.06 end
% 2.65/3.06 substitution1:
% 2.65/3.06 end
% 2.65/3.06
% 2.65/3.06 subsumption: (7352) {G4,W5,D2,L1,V0,M1} R(134,7319) { cyclic( skol27,
% 2.65/3.06 skol27, skol27, skol27 ) }.
% 2.65/3.06 parent0: (19098) {G2,W5,D2,L1,V0,M1} { cyclic( skol27, skol27, skol27,
% 2.65/3.06 skol27 ) }.
% 2.65/3.06 substitution0:
% 2.65/3.06 end
% 2.65/3.06 permutation0:
% 2.65/3.06 0 ==> 0
% 2.65/3.06 end
% 2.65/3.06
% 2.65/3.06 resolution: (19100) {G2,W18,D3,L4,V2,M4} { ! midp( X, skol27, skol23 ), !
% 2.65/3.06 coll( skol27, skol27, skol23 ), midp( skol7( skol27, Y ), skol27, Y ), !
% 2.65/3.06 midp( skol34, skol27, skol23 ) }.
% 2.65/3.06 parent0[2]: (149) {G1,W18,D3,L4,V4,M4} F(88) { ! midp( X, Y, Z ), ! coll( Y
% 2.65/3.06 , Y, Z ), ! coll( Z, Y, Z ), midp( skol7( Y, T ), Y, T ) }.
% 2.65/3.06 parent1[1]: (4133) {G6,W8,D2,L2,V1,M2} R(4107,171) { ! midp( skol34, skol27
% 2.65/3.06 , X ), coll( X, skol27, skol23 ) }.
% 2.65/3.06 substitution0:
% 2.65/3.06 X := X
% 2.65/3.06 Y := skol27
% 2.65/3.06 Z := skol23
% 2.65/3.06 T := Y
% 2.65/3.06 end
% 2.65/3.06 substitution1:
% 2.65/3.06 X := skol23
% 2.65/3.06 end
% 2.65/3.06
% 2.65/3.06 factor: (19101) {G2,W14,D3,L3,V1,M3} { ! midp( skol34, skol27, skol23 ), !
% 2.65/3.06 coll( skol27, skol27, skol23 ), midp( skol7( skol27, X ), skol27, X )
% 2.65/3.06 }.
% 2.65/3.06 parent0[0, 3]: (19100) {G2,W18,D3,L4,V2,M4} { ! midp( X, skol27, skol23 )
% 2.65/3.06 , ! coll( skol27, skol27, skol23 ), midp( skol7( skol27, Y ), skol27, Y )
% 2.65/3.06 , ! midp( skol34, skol27, skol23 ) }.
% 2.65/3.06 substitution0:
% 2.65/3.06 X := skol34
% 2.65/3.06 Y := X
% 2.65/3.06 end
% 2.65/3.06
% 2.65/3.06 resolution: (19103) {G3,W14,D3,L3,V1,M3} { ! midp( skol34, skol27, skol23
% 2.65/3.06 ), midp( skol7( skol27, X ), skol27, X ), ! midp( skol34, skol27, skol23
% 2.65/3.06 ) }.
% 2.65/3.06 parent0[1]: (19101) {G2,W14,D3,L3,V1,M3} { ! midp( skol34, skol27, skol23
% 2.65/3.06 ), ! coll( skol27, skol27, skol23 ), midp( skol7( skol27, X ), skol27, X
% 2.65/3.06 ) }.
% 2.65/3.06 parent1[1]: (2648) {G8,W8,D2,L2,V1,M2} R(2596,170) { ! midp( skol34, X,
% 2.65/3.06 skol23 ), coll( X, skol27, skol23 ) }.
% 2.65/3.06 substitution0:
% 2.65/3.06 X := X
% 2.65/3.06 end
% 2.65/3.06 substitution1:
% 2.65/3.06 X := skol27
% 2.65/3.06 end
% 2.65/3.06
% 2.65/3.06 subsumption: (7951) {G9,W14,D3,L3,V2,M3} R(149,4133);r(2648) { ! midp( X,
% 2.65/3.06 skol27, skol23 ), midp( skol7( skol27, Y ), skol27, Y ), ! midp( skol34,
% 2.65/3.06 skol27, skol23 ) }.
% 2.65/3.06 parent0: (19103) {G3,W14,D3,L3,V1,M3} { ! midp( skol34, skol27, skol23 ),
% 2.65/3.06 midp( skol7( skol27, X ), skol27, X ), ! midp( skol34, skol27, skol23 )
% 2.65/3.06 }.
% 2.65/3.06 substitution0:
% 2.65/3.06 X := Y
% 2.65/3.06 end
% 2.65/3.06 permutation0:
% 2.65/3.06 0 ==> 2
% 2.65/3.06 1 ==> 1
% 2.65/3.06 2 ==> 2
% 2.65/3.06 end
% 2.65/3.06
% 2.65/3.06 resolution: (19105) {G2,W18,D3,L4,V2,M4} { ! midp( X, skol23, skol27 ), !
% 2.65/3.06 coll( skol23, skol23, skol27 ), midp( skol7( skol23, Y ), skol23, Y ), !
% 2.65/3.06 midp( skol34, skol23, skol27 ) }.
% 2.65/3.06 parent0[2]: (149) {G1,W18,D3,L4,V4,M4} F(88) { ! midp( X, Y, Z ), ! coll( Y
% 2.65/3.06 , Y, Z ), ! coll( Z, Y, Z ), midp( skol7( Y, T ), Y, T ) }.
% 2.65/3.06 parent1[0]: (2599) {G7,W8,D2,L2,V1,M2} R(1757,522) { coll( skol27, skol23,
% 2.65/3.06 X ), ! midp( skol34, skol23, X ) }.
% 2.65/3.06 substitution0:
% 2.65/3.06 X := X
% 2.65/3.06 Y := skol23
% 2.65/3.06 Z := skol27
% 2.65/3.06 T := Y
% 2.65/3.06 end
% 2.65/3.06 substitution1:
% 2.65/3.06 X := skol27
% 2.65/3.06 end
% 2.65/3.06
% 2.65/3.06 factor: (19106) {G2,W14,D3,L3,V1,M3} { ! midp( skol34, skol23, skol27 ), !
% 2.65/3.06 coll( skol23, skol23, skol27 ), midp( skol7( skol23, X ), skol23, X )
% 2.65/3.06 }.
% 2.65/3.06 parent0[0, 3]: (19105) {G2,W18,D3,L4,V2,M4} { ! midp( X, skol23, skol27 )
% 2.65/3.06 , ! coll( skol23, skol23, skol27 ), midp( skol7( skol23, Y ), skol23, Y )
% 2.65/3.06 , ! midp( skol34, skol23, skol27 ) }.
% 2.65/3.06 substitution0:
% 2.65/3.06 X := skol34
% 2.65/3.06 Y := X
% 2.65/3.06 end
% 2.65/3.06
% 2.65/3.06 resolution: (19107) {G3,W14,D3,L3,V1,M3} { ! midp( skol34, skol23, skol27
% 2.65/3.06 ), midp( skol7( skol23, X ), skol23, X ), ! midp( skol34, skol23, skol27
% 2.65/3.06 ) }.
% 2.65/3.06 parent0[1]: (19106) {G2,W14,D3,L3,V1,M3} { ! midp( skol34, skol23, skol27
% 2.65/3.06 ), ! coll( skol23, skol23, skol27 ), midp( skol7( skol23, X ), skol23, X
% 2.65/3.06 ) }.
% 2.65/3.06 parent1[1]: (4166) {G8,W8,D2,L2,V1,M2} R(4149,0) { ! midp( skol34, X,
% 2.65/3.06 skol27 ), coll( X, skol23, skol27 ) }.
% 2.65/3.06 substitution0:
% 2.65/3.06 X := X
% 2.65/3.06 end
% 2.65/3.06 substitution1:
% 2.65/3.06 X := skol23
% 2.65/3.06 end
% 2.65/3.06
% 2.65/3.06 subsumption: (7988) {G9,W14,D3,L3,V2,M3} R(149,2599);r(4166) { ! midp( X,
% 2.65/3.06 skol23, skol27 ), midp( skol7( skol23, Y ), skol23, Y ), ! midp( skol34,
% 2.65/3.06 skol23, skol27 ) }.
% 2.65/3.06 parent0: (19107) {G3,W14,D3,L3,V1,M3} { ! midp( skol34, skol23, skol27 ),
% 2.65/3.06 midp( skol7( skol23, X ), skol23, X ), ! midp( skol34, skol23, skol27 )
% 2.65/3.06 }.
% 2.65/3.06 substitution0:
% 2.65/3.06 X := Y
% 2.65/3.06 end
% 2.65/3.06 permutation0:
% 2.65/3.06 0 ==> 2
% 2.65/3.06 1 ==> 1
% 2.65/3.06 2 ==> 2
% 2.65/3.06 end
% 2.65/3.06
% 2.65/3.06 factor: (19109) {G9,W10,D3,L2,V1,M2} { ! midp( skol34, skol23, skol27 ),
% 2.65/3.06 midp( skol7( skol23, X ), skol23, X ) }.
% 2.65/3.06 parent0[0, 2]: (7988) {G9,W14,D3,L3,V2,M3} R(149,2599);r(4166) { ! midp( X
% 2.65/3.06 , skol23, skol27 ), midp( skol7( skol23, Y ), skol23, Y ), ! midp( skol34
% 2.65/3.06 , skol23, skol27 ) }.
% 2.65/3.06 substitution0:
% 2.65/3.06 X := skol34
% 2.65/3.06 Y := X
% 2.65/3.06 end
% 2.65/3.06
% 2.65/3.06 resolution: (19110) {G1,W6,D3,L1,V1,M1} { midp( skol7( skol23, X ), skol23
% 2.65/3.06 , X ) }.
% 2.65/3.06 parent0[0]: (19109) {G9,W10,D3,L2,V1,M2} { ! midp( skol34, skol23, skol27
% 2.65/3.06 ), midp( skol7( skol23, X ), skol23, X ) }.
% 2.65/3.06 parent1[0]: (120) {G0,W4,D2,L1,V0,M1} I { midp( skol34, skol23, skol27 )
% 2.65/3.06 }.
% 2.65/3.06 substitution0:
% 2.65/3.06 X := X
% 2.65/3.06 end
% 2.65/3.06 substitution1:
% 2.65/3.06 end
% 2.65/3.06
% 2.65/3.06 subsumption: (8082) {G10,W6,D3,L1,V1,M1} F(7988);r(120) { midp( skol7(
% 2.65/3.06 skol23, X ), skol23, X ) }.
% 2.65/3.06 parent0: (19110) {G1,W6,D3,L1,V1,M1} { midp( skol7( skol23, X ), skol23, X
% 2.65/3.06 ) }.
% 2.65/3.06 substitution0:
% 2.65/3.06 X := X
% 2.65/3.06 end
% 2.65/3.06 permutation0:
% 2.65/3.06 0 ==> 0
% 2.65/3.06 end
% 2.65/3.06
% 2.65/3.06 factor: (19111) {G9,W10,D3,L2,V1,M2} { ! midp( skol34, skol27, skol23 ),
% 2.65/3.06 midp( skol7( skol27, X ), skol27, X ) }.
% 2.65/3.06 parent0[0, 2]: (7951) {G9,W14,D3,L3,V2,M3} R(149,4133);r(2648) { ! midp( X
% 2.65/3.06 , skol27, skol23 ), midp( skol7( skol27, Y ), skol27, Y ), ! midp( skol34
% 2.65/3.06 , skol27, skol23 ) }.
% 2.65/3.06 substitution0:
% 2.65/3.06 X := skol34
% 2.65/3.06 Y := X
% 2.65/3.06 end
% 2.65/3.06
% 2.65/3.06 resolution: (19112) {G2,W6,D3,L1,V1,M1} { midp( skol7( skol27, X ), skol27
% 2.65/3.06 , X ) }.
% 2.65/3.06 parent0[0]: (19111) {G9,W10,D3,L2,V1,M2} { ! midp( skol34, skol27, skol23
% 2.65/3.06 ), midp( skol7( skol27, X ), skol27, X ) }.
% 2.65/3.06 parent1[0]: (319) {G1,W4,D2,L1,V0,M1} R(10,120) { midp( skol34, skol27,
% 2.65/3.06 skol23 ) }.
% 2.65/3.06 substitution0:
% 2.65/3.06 X := X
% 2.65/3.06 end
% 2.65/3.06 substitution1:
% 2.65/3.06 end
% 2.65/3.06
% 2.65/3.06 subsumption: (8083) {G10,W6,D3,L1,V1,M1} F(7951);r(319) { midp( skol7(
% 2.65/3.06 skol27, X ), skol27, X ) }.
% 2.65/3.06 parent0: (19112) {G2,W6,D3,L1,V1,M1} { midp( skol7( skol27, X ), skol27, X
% 2.65/3.06 ) }.
% 2.65/3.06 substitution0:
% 2.65/3.06 X := X
% 2.65/3.06 end
% 2.65/3.06 permutation0:
% 2.65/3.06 0 ==> 0
% 2.65/3.06 end
% 2.65/3.06
% 2.65/3.06 resolution: (19113) {G2,W5,D2,L1,V1,M1} { para( skol27, skol27, X, X ) }.
% 2.65/3.06 parent0[0]: (142) {G1,W9,D2,L2,V3,M2} F(63) { ! midp( X, Y, Z ), para( Y, Y
% 2.65/3.06 , Z, Z ) }.
% 2.65/3.06 parent1[0]: (8083) {G10,W6,D3,L1,V1,M1} F(7951);r(319) { midp( skol7(
% 2.65/3.06 skol27, X ), skol27, X ) }.
% 2.65/3.06 substitution0:
% 2.65/3.06 X := skol7( skol27, X )
% 2.65/3.06 Y := skol27
% 2.65/3.06 Z := X
% 2.65/3.06 end
% 2.65/3.06 substitution1:
% 2.65/3.06 X := X
% 2.65/3.06 end
% 2.65/3.06
% 2.65/3.06 subsumption: (8088) {G11,W5,D2,L1,V1,M1} R(8083,142) { para( skol27, skol27
% 2.65/3.06 , X, X ) }.
% 2.65/3.06 parent0: (19113) {G2,W5,D2,L1,V1,M1} { para( skol27, skol27, X, X ) }.
% 2.65/3.06 substitution0:
% 2.65/3.06 X := X
% 2.65/3.06 end
% 2.65/3.06 permutation0:
% 2.65/3.06 0 ==> 0
% 2.65/3.06 end
% 2.65/3.06
% 2.65/3.06 resolution: (19114) {G1,W5,D2,L1,V1,M1} { para( X, X, skol27, skol27 ) }.
% 2.65/3.06 parent0[0]: (4) {G0,W10,D2,L2,V4,M2} I { ! para( X, Y, Z, T ), para( Z, T,
% 2.65/3.06 X, Y ) }.
% 2.65/3.06 parent1[0]: (8088) {G11,W5,D2,L1,V1,M1} R(8083,142) { para( skol27, skol27
% 2.65/3.06 , X, X ) }.
% 2.65/3.06 substitution0:
% 2.65/3.06 X := skol27
% 2.65/3.06 Y := skol27
% 2.65/3.06 Z := X
% 2.65/3.06 T := X
% 2.65/3.06 end
% 2.65/3.06 substitution1:
% 2.65/3.06 X := X
% 2.65/3.06 end
% 2.65/3.06
% 2.65/3.06 subsumption: (8212) {G12,W5,D2,L1,V1,M1} R(8088,4) { para( X, X, skol27,
% 2.65/3.06 skol27 ) }.
% 2.65/3.06 parent0: (19114) {G1,W5,D2,L1,V1,M1} { para( X, X, skol27, skol27 ) }.
% 2.65/3.06 substitution0:
% 2.65/3.06 X := X
% 2.65/3.06 end
% 2.65/3.06 permutation0:
% 2.65/3.06 0 ==> 0
% 2.65/3.06 end
% 2.65/3.06
% 2.65/3.06 resolution: (19115) {G1,W9,D2,L1,V3,M1} { eqangle( X, X, Y, Z, skol27,
% 2.65/3.06 skol27, Y, Z ) }.
% 2.65/3.06 parent0[0]: (39) {G0,W14,D2,L2,V6,M2} I { ! para( X, Y, Z, T ), eqangle( X
% 2.65/3.06 , Y, U, W, Z, T, U, W ) }.
% 2.65/3.06 parent1[0]: (8212) {G12,W5,D2,L1,V1,M1} R(8088,4) { para( X, X, skol27,
% 2.65/3.06 skol27 ) }.
% 2.65/3.06 substitution0:
% 2.65/3.06 X := X
% 2.65/3.06 Y := X
% 2.65/3.06 Z := skol27
% 2.65/3.06 T := skol27
% 2.65/3.06 U := Y
% 2.65/3.06 W := Z
% 2.65/3.06 end
% 2.65/3.06 substitution1:
% 2.65/3.06 X := X
% 2.65/3.06 end
% 2.65/3.06
% 2.65/3.06 subsumption: (8216) {G13,W9,D2,L1,V3,M1} R(8212,39) { eqangle( X, X, Y, Z,
% 2.65/3.06 skol27, skol27, Y, Z ) }.
% 2.65/3.06 parent0: (19115) {G1,W9,D2,L1,V3,M1} { eqangle( X, X, Y, Z, skol27, skol27
% 2.65/3.06 , Y, Z ) }.
% 2.65/3.06 substitution0:
% 2.65/3.06 X := X
% 2.65/3.06 Y := Y
% 2.65/3.06 Z := Z
% 2.65/3.06 end
% 2.65/3.06 permutation0:
% 2.65/3.06 0 ==> 0
% 2.65/3.06 end
% 2.65/3.06
% 2.65/3.06 resolution: (19116) {G2,W5,D2,L1,V1,M1} { para( skol23, skol23, X, X ) }.
% 2.65/3.06 parent0[0]: (142) {G1,W9,D2,L2,V3,M2} F(63) { ! midp( X, Y, Z ), para( Y, Y
% 2.65/3.06 , Z, Z ) }.
% 2.65/3.06 parent1[0]: (8082) {G10,W6,D3,L1,V1,M1} F(7988);r(120) { midp( skol7(
% 2.65/3.06 skol23, X ), skol23, X ) }.
% 2.65/3.06 substitution0:
% 2.65/3.06 X := skol7( skol23, X )
% 2.65/3.06 Y := skol23
% 2.65/3.06 Z := X
% 2.65/3.06 end
% 2.65/3.06 substitution1:
% 2.65/3.06 X := X
% 2.65/3.06 end
% 2.65/3.06
% 2.65/3.06 subsumption: (8254) {G11,W5,D2,L1,V1,M1} R(8082,142) { para( skol23, skol23
% 2.65/3.06 , X, X ) }.
% 2.65/3.06 parent0: (19116) {G2,W5,D2,L1,V1,M1} { para( skol23, skol23, X, X ) }.
% 2.65/3.06 substitution0:
% 2.65/3.06 X := X
% 2.65/3.06 end
% 2.65/3.06 permutation0:
% 2.65/3.06 0 ==> 0
% 2.65/3.06 end
% 2.65/3.06
% 2.65/3.06 resolution: (19117) {G1,W6,D3,L1,V1,M1} { midp( skol7( skol23, X ), X,
% 2.65/3.06 skol23 ) }.
% 2.65/3.06 parent0[0]: (10) {G0,W8,D2,L2,V3,M2} I { ! midp( Z, Y, X ), midp( Z, X, Y )
% 2.65/3.06 }.
% 2.65/3.06 parent1[0]: (8082) {G10,W6,D3,L1,V1,M1} F(7988);r(120) { midp( skol7(
% 2.65/3.06 skol23, X ), skol23, X ) }.
% 2.65/3.06 substitution0:
% 2.65/3.06 X := X
% 2.65/3.06 Y := skol23
% 2.65/3.06 Z := skol7( skol23, X )
% 2.65/3.06 end
% 2.65/3.06 substitution1:
% 2.65/3.06 X := X
% 2.65/3.06 end
% 2.65/3.06
% 2.65/3.06 subsumption: (8266) {G11,W6,D3,L1,V1,M1} R(8082,10) { midp( skol7( skol23,
% 2.65/3.06 X ), X, skol23 ) }.
% 2.65/3.06 parent0: (19117) {G1,W6,D3,L1,V1,M1} { midp( skol7( skol23, X ), X, skol23
% 2.65/3.06 ) }.
% 2.65/3.06 substitution0:
% 2.65/3.06 X := X
% 2.65/3.06 end
% 2.65/3.06 permutation0:
% 2.65/3.06 0 ==> 0
% 2.65/3.06 end
% 2.65/3.06
% 2.65/3.06 resolution: (19118) {G1,W5,D2,L1,V1,M1} { para( X, X, skol23, skol23 ) }.
% 2.65/3.06 parent0[0]: (4) {G0,W10,D2,L2,V4,M2} I { ! para( X, Y, Z, T ), para( Z, T,
% 2.65/3.06 X, Y ) }.
% 2.65/3.06 parent1[0]: (8254) {G11,W5,D2,L1,V1,M1} R(8082,142) { para( skol23, skol23
% 2.65/3.06 , X, X ) }.
% 2.65/3.06 substitution0:
% 2.65/3.06 X := skol23
% 2.65/3.06 Y := skol23
% 2.65/3.06 Z := X
% 2.65/3.06 T := X
% 2.65/3.06 end
% 2.65/3.06 substitution1:
% 2.65/3.06 X := X
% 2.65/3.06 end
% 2.65/3.06
% 2.65/3.06 subsumption: (8274) {G12,W5,D2,L1,V1,M1} R(8254,4) { para( X, X, skol23,
% 2.65/3.06 skol23 ) }.
% 2.65/3.06 parent0: (19118) {G1,W5,D2,L1,V1,M1} { para( X, X, skol23, skol23 ) }.
% 2.65/3.06 substitution0:
% 2.65/3.06 X := X
% 2.65/3.06 end
% 2.65/3.06 permutation0:
% 2.65/3.06 0 ==> 0
% 2.65/3.06 end
% 2.65/3.06
% 2.65/3.06 resolution: (19119) {G1,W7,D3,L1,V0,M1} { perp( skol27, skol34, skol12(
% 2.65/3.06 skol27, skol34 ), skol27 ) }.
% 2.65/3.06 parent0[0]: (7) {G0,W10,D2,L2,V4,M2} I { ! perp( X, Y, Z, T ), perp( Z, T,
% 2.65/3.06 X, Y ) }.
% 2.65/3.06 parent1[0]: (7259) {G4,W7,D3,L1,V0,M1} R(7163,100) { perp( skol12( skol27,
% 2.65/3.06 skol34 ), skol27, skol27, skol34 ) }.
% 2.65/3.06 substitution0:
% 2.65/3.06 X := skol12( skol27, skol34 )
% 2.65/3.06 Y := skol27
% 2.65/3.06 Z := skol27
% 2.65/3.06 T := skol34
% 2.65/3.06 end
% 2.65/3.06 substitution1:
% 2.65/3.06 end
% 2.65/3.06
% 2.65/3.06 subsumption: (8308) {G5,W7,D3,L1,V0,M1} R(7259,7) { perp( skol27, skol34,
% 2.65/3.06 skol12( skol27, skol34 ), skol27 ) }.
% 2.65/3.06 parent0: (19119) {G1,W7,D3,L1,V0,M1} { perp( skol27, skol34, skol12(
% 2.65/3.06 skol27, skol34 ), skol27 ) }.
% 2.65/3.06 substitution0:
% 2.65/3.06 end
% 2.65/3.06 permutation0:
% 2.65/3.06 0 ==> 0
% 2.65/3.06 end
% 2.65/3.06
% 2.65/3.06 resolution: (19120) {G1,W7,D3,L1,V0,M1} { perp( skol27, skol34, skol27,
% 2.65/3.06 skol12( skol27, skol34 ) ) }.
% 2.65/3.06 parent0[0]: (6) {G0,W10,D2,L2,V4,M2} I { ! perp( X, Y, Z, T ), perp( X, Y,
% 2.65/3.06 T, Z ) }.
% 2.65/3.06 parent1[0]: (8308) {G5,W7,D3,L1,V0,M1} R(7259,7) { perp( skol27, skol34,
% 2.65/3.06 skol12( skol27, skol34 ), skol27 ) }.
% 2.65/3.06 substitution0:
% 2.65/3.06 X := skol27
% 2.65/3.06 Y := skol34
% 2.65/3.06 Z := skol12( skol27, skol34 )
% 2.65/3.06 T := skol27
% 2.65/3.06 end
% 2.65/3.06 substitution1:
% 2.65/3.06 end
% 2.65/3.06
% 2.65/3.06 subsumption: (8317) {G6,W7,D3,L1,V0,M1} R(8308,6) { perp( skol27, skol34,
% 2.65/3.06 skol27, skol12( skol27, skol34 ) ) }.
% 2.65/3.06 parent0: (19120) {G1,W7,D3,L1,V0,M1} { perp( skol27, skol34, skol27,
% 2.65/3.06 skol12( skol27, skol34 ) ) }.
% 2.65/3.06 substitution0:
% 2.65/3.06 end
% 2.65/3.06 permutation0:
% 2.65/3.06 0 ==> 0
% 2.65/3.06 end
% 2.65/3.06
% 2.65/3.06 resolution: (19121) {G1,W7,D3,L1,V0,M1} { perp( skol27, skol12( skol27,
% 2.65/3.06 skol34 ), skol27, skol34 ) }.
% 2.65/3.06 parent0[0]: (7) {G0,W10,D2,L2,V4,M2} I { ! perp( X, Y, Z, T ), perp( Z, T,
% 2.65/3.06 X, Y ) }.
% 2.65/3.06 parent1[0]: (8317) {G6,W7,D3,L1,V0,M1} R(8308,6) { perp( skol27, skol34,
% 2.65/3.06 skol27, skol12( skol27, skol34 ) ) }.
% 2.65/3.06 substitution0:
% 2.65/3.06 X := skol27
% 2.65/3.06 Y := skol34
% 2.65/3.06 Z := skol27
% 2.65/3.06 T := skol12( skol27, skol34 )
% 2.65/3.06 end
% 2.65/3.06 substitution1:
% 2.65/3.06 end
% 2.65/3.06
% 2.65/3.06 subsumption: (8324) {G7,W7,D3,L1,V0,M1} R(8317,7) { perp( skol27, skol12(
% 2.65/3.06 skol27, skol34 ), skol27, skol34 ) }.
% 2.65/3.06 parent0: (19121) {G1,W7,D3,L1,V0,M1} { perp( skol27, skol12( skol27,
% 2.65/3.06 skol34 ), skol27, skol34 ) }.
% 2.65/3.06 substitution0:
% 2.65/3.06 end
% 2.65/3.06 permutation0:
% 2.65/3.06 0 ==> 0
% 2.65/3.06 end
% 2.65/3.06
% 2.65/3.06 resolution: (19122) {G2,W8,D3,L1,V0,M1} { perp( skol27, skol10( skol27,
% 2.65/3.06 skol27, skol34 ), skol34, skol27 ) }.
% 2.65/3.06 parent0[0]: (155) {G1,W13,D3,L2,V3,M2} F(95) { ! perp( X, Y, X, Z ), perp(
% 2.65/3.06 X, skol10( X, X, Z ), Z, X ) }.
% 2.65/3.06 parent1[0]: (8324) {G7,W7,D3,L1,V0,M1} R(8317,7) { perp( skol27, skol12(
% 2.65/3.06 skol27, skol34 ), skol27, skol34 ) }.
% 2.65/3.06 substitution0:
% 2.65/3.06 X := skol27
% 2.65/3.06 Y := skol12( skol27, skol34 )
% 2.65/3.06 Z := skol34
% 2.65/3.06 end
% 2.65/3.06 substitution1:
% 2.65/3.06 end
% 2.65/3.06
% 2.65/3.06 subsumption: (8326) {G8,W8,D3,L1,V0,M1} R(8324,155) { perp( skol27, skol10
% 2.65/3.06 ( skol27, skol27, skol34 ), skol34, skol27 ) }.
% 2.65/3.06 parent0: (19122) {G2,W8,D3,L1,V0,M1} { perp( skol27, skol10( skol27,
% 2.65/3.06 skol27, skol34 ), skol34, skol27 ) }.
% 2.65/3.06 substitution0:
% 2.65/3.06 end
% 2.65/3.06 permutation0:
% 2.65/3.06 0 ==> 0
% 2.65/3.06 end
% 2.65/3.06
% 2.65/3.06 resolution: (19123) {G1,W7,D3,L1,V0,M1} { perp( skol23, skol34, skol12(
% 2.65/3.06 skol23, skol34 ), skol23 ) }.
% 2.65/3.06 parent0[0]: (7) {G0,W10,D2,L2,V4,M2} I { ! perp( X, Y, Z, T ), perp( Z, T,
% 2.65/3.06 X, Y ) }.
% 2.65/3.06 parent1[0]: (7171) {G3,W7,D3,L1,V0,M1} R(7162,100) { perp( skol12( skol23,
% 2.65/3.06 skol34 ), skol23, skol23, skol34 ) }.
% 2.65/3.06 substitution0:
% 2.65/3.06 X := skol12( skol23, skol34 )
% 2.65/3.06 Y := skol23
% 2.65/3.06 Z := skol23
% 2.65/3.06 T := skol34
% 2.65/3.06 end
% 2.65/3.06 substitution1:
% 2.65/3.06 end
% 2.65/3.06
% 2.65/3.06 subsumption: (8370) {G4,W7,D3,L1,V0,M1} R(7171,7) { perp( skol23, skol34,
% 2.65/3.06 skol12( skol23, skol34 ), skol23 ) }.
% 2.65/3.06 parent0: (19123) {G1,W7,D3,L1,V0,M1} { perp( skol23, skol34, skol12(
% 2.65/3.06 skol23, skol34 ), skol23 ) }.
% 2.65/3.06 substitution0:
% 2.65/3.06 end
% 2.65/3.06 permutation0:
% 2.65/3.06 0 ==> 0
% 2.65/3.06 end
% 2.65/3.06
% 2.65/3.06 resolution: (19124) {G1,W7,D3,L1,V0,M1} { perp( skol23, skol34, skol23,
% 2.65/3.06 skol12( skol23, skol34 ) ) }.
% 2.65/3.06 parent0[0]: (6) {G0,W10,D2,L2,V4,M2} I { ! perp( X, Y, Z, T ), perp( X, Y,
% 2.65/3.06 T, Z ) }.
% 2.65/3.06 parent1[0]: (8370) {G4,W7,D3,L1,V0,M1} R(7171,7) { perp( skol23, skol34,
% 2.65/3.06 skol12( skol23, skol34 ), skol23 ) }.
% 2.65/3.06 substitution0:
% 2.65/3.06 X := skol23
% 2.65/3.06 Y := skol34
% 2.65/3.06 Z := skol12( skol23, skol34 )
% 2.65/3.06 T := skol23
% 2.65/3.06 end
% 2.65/3.06 substitution1:
% 2.65/3.06 end
% 2.65/3.06
% 2.65/3.06 subsumption: (8377) {G5,W7,D3,L1,V0,M1} R(8370,6) { perp( skol23, skol34,
% 2.65/3.06 skol23, skol12( skol23, skol34 ) ) }.
% 2.65/3.06 parent0: (19124) {G1,W7,D3,L1,V0,M1} { perp( skol23, skol34, skol23,
% 2.65/3.06 skol12( skol23, skol34 ) ) }.
% 2.65/3.06 substitution0:
% 2.65/3.06 end
% 2.65/3.06 permutation0:
% 2.65/3.06 0 ==> 0
% 2.65/3.06 end
% 2.65/3.06
% 2.65/3.06 resolution: (19125) {G1,W7,D3,L1,V0,M1} { perp( skol23, skol12( skol23,
% 2.65/3.06 skol34 ), skol23, skol34 ) }.
% 2.65/3.06 parent0[0]: (7) {G0,W10,D2,L2,V4,M2} I { ! perp( X, Y, Z, T ), perp( Z, T,
% 2.65/3.06 X, Y ) }.
% 2.65/3.06 parent1[0]: (8377) {G5,W7,D3,L1,V0,M1} R(8370,6) { perp( skol23, skol34,
% 2.65/3.06 skol23, skol12( skol23, skol34 ) ) }.
% 2.65/3.06 substitution0:
% 2.65/3.06 X := skol23
% 2.65/3.06 Y := skol34
% 2.65/3.06 Z := skol23
% 2.65/3.06 T := skol12( skol23, skol34 )
% 2.65/3.06 end
% 2.65/3.06 substitution1:
% 2.65/3.06 end
% 2.65/3.06
% 2.65/3.06 subsumption: (8384) {G6,W7,D3,L1,V0,M1} R(8377,7) { perp( skol23, skol12(
% 2.65/3.06 skol23, skol34 ), skol23, skol34 ) }.
% 2.65/3.06 parent0: (19125) {G1,W7,D3,L1,V0,M1} { perp( skol23, skol12( skol23,
% 2.65/3.06 skol34 ), skol23, skol34 ) }.
% 2.65/3.06 substitution0:
% 2.65/3.06 end
% 2.65/3.06 permutation0:
% 2.65/3.06 0 ==> 0
% 2.65/3.06 end
% 2.65/3.06
% 2.65/3.06 resolution: (19126) {G2,W8,D3,L1,V0,M1} { perp( skol23, skol10( skol23,
% 2.65/3.06 skol23, skol34 ), skol34, skol23 ) }.
% 2.65/3.06 parent0[0]: (155) {G1,W13,D3,L2,V3,M2} F(95) { ! perp( X, Y, X, Z ), perp(
% 2.65/3.06 X, skol10( X, X, Z ), Z, X ) }.
% 2.65/3.06 parent1[0]: (8384) {G6,W7,D3,L1,V0,M1} R(8377,7) { perp( skol23, skol12(
% 2.65/3.06 skol23, skol34 ), skol23, skol34 ) }.
% 2.65/3.06 substitution0:
% 2.65/3.06 X := skol23
% 2.65/3.06 Y := skol12( skol23, skol34 )
% 2.65/3.06 Z := skol34
% 2.65/3.06 end
% 2.65/3.06 substitution1:
% 2.65/3.06 end
% 2.65/3.06
% 2.65/3.06 subsumption: (8387) {G7,W8,D3,L1,V0,M1} R(8384,155) { perp( skol23, skol10
% 2.65/3.06 ( skol23, skol23, skol34 ), skol34, skol23 ) }.
% 2.65/3.06 parent0: (19126) {G2,W8,D3,L1,V0,M1} { perp( skol23, skol10( skol23,
% 2.65/3.06 skol23, skol34 ), skol34, skol23 ) }.
% 2.65/3.06 substitution0:
% 2.65/3.06 end
% 2.65/3.06 permutation0:
% 2.65/3.06 0 ==> 0
% 2.65/3.06 end
% 2.65/3.06
% 2.65/3.06 resolution: (19127) {G3,W5,D2,L1,V1,M1} { para( X, X, X, X ) }.
% 2.65/3.06 parent0[0]: (235) {G2,W10,D2,L2,V4,M2} F(231) { ! para( X, Y, Z, T ), para
% 2.65/3.06 ( X, Y, X, Y ) }.
% 2.65/3.06 parent1[0]: (8274) {G12,W5,D2,L1,V1,M1} R(8254,4) { para( X, X, skol23,
% 2.65/3.06 skol23 ) }.
% 2.65/3.06 substitution0:
% 2.65/3.06 X := X
% 2.65/3.06 Y := X
% 2.65/3.06 Z := skol23
% 2.65/3.06 T := skol23
% 2.65/3.06 end
% 2.65/3.06 substitution1:
% 2.65/3.06 X := X
% 2.65/3.06 end
% 2.65/3.06
% 2.65/3.06 subsumption: (8717) {G13,W5,D2,L1,V1,M1} R(235,8274) { para( X, X, X, X )
% 2.65/3.06 }.
% 2.65/3.06 parent0: (19127) {G3,W5,D2,L1,V1,M1} { para( X, X, X, X ) }.
% 2.65/3.06 substitution0:
% 2.65/3.06 X := X
% 2.65/3.06 end
% 2.65/3.06 permutation0:
% 2.65/3.06 0 ==> 0
% 2.65/3.06 end
% 2.65/3.06
% 2.65/3.06 resolution: (19128) {G1,W9,D2,L1,V3,M1} { eqangle( X, X, Y, Z, X, X, Y, Z
% 2.65/3.06 ) }.
% 2.65/3.06 parent0[0]: (39) {G0,W14,D2,L2,V6,M2} I { ! para( X, Y, Z, T ), eqangle( X
% 2.65/3.06 , Y, U, W, Z, T, U, W ) }.
% 2.65/3.06 parent1[0]: (8717) {G13,W5,D2,L1,V1,M1} R(235,8274) { para( X, X, X, X )
% 2.65/3.06 }.
% 2.65/3.06 substitution0:
% 2.65/3.06 X := X
% 2.65/3.06 Y := X
% 2.65/3.06 Z := X
% 2.65/3.06 T := X
% 2.65/3.06 U := Y
% 2.65/3.06 W := Z
% 2.65/3.06 end
% 2.65/3.06 substitution1:
% 2.65/3.06 X := X
% 2.65/3.06 end
% 2.65/3.06
% 2.65/3.06 subsumption: (8724) {G14,W9,D2,L1,V3,M1} R(8717,39) { eqangle( X, X, Y, Z,
% 2.65/3.06 X, X, Y, Z ) }.
% 2.65/3.06 parent0: (19128) {G1,W9,D2,L1,V3,M1} { eqangle( X, X, Y, Z, X, X, Y, Z )
% 2.65/3.06 }.
% 2.65/3.06 substitution0:
% 2.65/3.06 X := X
% 2.65/3.06 Y := Y
% 2.65/3.06 Z := Z
% 2.65/3.06 end
% 2.65/3.06 permutation0:
% 2.65/3.06 0 ==> 0
% 2.65/3.06 end
% 2.65/3.06
% 2.65/3.06 resolution: (19129) {G1,W8,D3,L1,V0,M1} { perp( skol34, skol23, skol23,
% 2.65/3.06 skol10( skol23, skol23, skol34 ) ) }.
% 2.65/3.06 parent0[0]: (7) {G0,W10,D2,L2,V4,M2} I { ! perp( X, Y, Z, T ), perp( Z, T,
% 2.65/3.06 X, Y ) }.
% 2.65/3.06 parent1[0]: (8387) {G7,W8,D3,L1,V0,M1} R(8384,155) { perp( skol23, skol10(
% 2.65/3.06 skol23, skol23, skol34 ), skol34, skol23 ) }.
% 2.65/3.06 substitution0:
% 2.65/3.06 X := skol23
% 2.65/3.06 Y := skol10( skol23, skol23, skol34 )
% 2.65/3.06 Z := skol34
% 2.65/3.06 T := skol23
% 2.65/3.06 end
% 2.65/3.06 substitution1:
% 2.65/3.06 end
% 2.65/3.06
% 2.65/3.06 subsumption: (8762) {G8,W8,D3,L1,V0,M1} R(8387,7) { perp( skol34, skol23,
% 2.65/3.06 skol23, skol10( skol23, skol23, skol34 ) ) }.
% 2.65/3.06 parent0: (19129) {G1,W8,D3,L1,V0,M1} { perp( skol34, skol23, skol23,
% 2.65/3.06 skol10( skol23, skol23, skol34 ) ) }.
% 2.65/3.06 substitution0:
% 2.65/3.06 end
% 2.65/3.06 permutation0:
% 2.65/3.06 0 ==> 0
% 2.65/3.06 end
% 2.65/3.06
% 2.65/3.06 resolution: (19130) {G1,W8,D3,L1,V0,M1} { perp( skol34, skol23, skol10(
% 2.65/3.06 skol23, skol23, skol34 ), skol23 ) }.
% 2.65/3.06 parent0[0]: (6) {G0,W10,D2,L2,V4,M2} I { ! perp( X, Y, Z, T ), perp( X, Y,
% 2.65/3.06 T, Z ) }.
% 2.65/3.06 parent1[0]: (8762) {G8,W8,D3,L1,V0,M1} R(8387,7) { perp( skol34, skol23,
% 2.65/3.06 skol23, skol10( skol23, skol23, skol34 ) ) }.
% 2.65/3.06 substitution0:
% 2.65/3.06 X := skol34
% 2.65/3.06 Y := skol23
% 2.65/3.06 Z := skol23
% 2.65/3.06 T := skol10( skol23, skol23, skol34 )
% 2.65/3.06 end
% 2.65/3.06 substitution1:
% 2.65/3.06 end
% 2.65/3.06
% 2.65/3.06 subsumption: (8772) {G9,W8,D3,L1,V0,M1} R(8762,6) { perp( skol34, skol23,
% 2.65/3.06 skol10( skol23, skol23, skol34 ), skol23 ) }.
% 2.65/3.06 parent0: (19130) {G1,W8,D3,L1,V0,M1} { perp( skol34, skol23, skol10(
% 2.65/3.06 skol23, skol23, skol34 ), skol23 ) }.
% 2.65/3.06 substitution0:
% 2.65/3.06 end
% 2.65/3.06 permutation0:
% 2.65/3.06 0 ==> 0
% 2.65/3.06 end
% 2.65/3.06
% 2.65/3.06 resolution: (19131) {G1,W8,D3,L1,V0,M1} { perp( skol10( skol23, skol23,
% 2.65/3.06 skol34 ), skol23, skol34, skol23 ) }.
% 2.65/3.06 parent0[0]: (7) {G0,W10,D2,L2,V4,M2} I { ! perp( X, Y, Z, T ), perp( Z, T,
% 2.65/3.06 X, Y ) }.
% 2.65/3.06 parent1[0]: (8772) {G9,W8,D3,L1,V0,M1} R(8762,6) { perp( skol34, skol23,
% 2.65/3.06 skol10( skol23, skol23, skol34 ), skol23 ) }.
% 2.65/3.06 substitution0:
% 2.65/3.06 X := skol34
% 2.65/3.06 Y := skol23
% 2.65/3.06 Z := skol10( skol23, skol23, skol34 )
% 2.65/3.06 T := skol23
% 2.65/3.06 end
% 2.65/3.06 substitution1:
% 2.65/3.06 end
% 2.65/3.06
% 2.65/3.06 subsumption: (8777) {G10,W8,D3,L1,V0,M1} R(8772,7) { perp( skol10( skol23,
% 2.65/3.06 skol23, skol34 ), skol23, skol34, skol23 ) }.
% 2.65/3.06 parent0: (19131) {G1,W8,D3,L1,V0,M1} { perp( skol10( skol23, skol23,
% 2.65/3.06 skol34 ), skol23, skol34, skol23 ) }.
% 2.65/3.06 substitution0:
% 2.65/3.06 end
% 2.65/3.06 permutation0:
% 2.65/3.06 0 ==> 0
% 2.65/3.06 end
% 2.65/3.06
% 2.65/3.06 resolution: (19132) {G1,W8,D3,L1,V0,M1} { perp( skol10( skol23, skol23,
% 2.65/3.06 skol34 ), skol23, skol23, skol34 ) }.
% 2.65/3.06 parent0[0]: (6) {G0,W10,D2,L2,V4,M2} I { ! perp( X, Y, Z, T ), perp( X, Y,
% 2.65/3.06 T, Z ) }.
% 2.65/3.06 parent1[0]: (8777) {G10,W8,D3,L1,V0,M1} R(8772,7) { perp( skol10( skol23,
% 2.65/3.06 skol23, skol34 ), skol23, skol34, skol23 ) }.
% 2.65/3.06 substitution0:
% 2.65/3.06 X := skol10( skol23, skol23, skol34 )
% 2.65/3.06 Y := skol23
% 2.65/3.06 Z := skol34
% 2.65/3.06 T := skol23
% 2.65/3.06 end
% 2.65/3.06 substitution1:
% 2.65/3.06 end
% 2.65/3.06
% 2.65/3.06 subsumption: (8786) {G11,W8,D3,L1,V0,M1} R(8777,6) { perp( skol10( skol23,
% 2.65/3.06 skol23, skol34 ), skol23, skol23, skol34 ) }.
% 2.65/3.06 parent0: (19132) {G1,W8,D3,L1,V0,M1} { perp( skol10( skol23, skol23,
% 2.65/3.06 skol34 ), skol23, skol23, skol34 ) }.
% 2.65/3.06 substitution0:
% 2.65/3.06 end
% 2.65/3.06 permutation0:
% 2.65/3.06 0 ==> 0
% 2.65/3.06 end
% 2.65/3.06
% 2.65/3.06 resolution: (19133) {G1,W8,D3,L1,V0,M1} { perp( skol23, skol34, skol10(
% 2.65/3.06 skol23, skol23, skol34 ), skol23 ) }.
% 2.65/3.06 parent0[0]: (7) {G0,W10,D2,L2,V4,M2} I { ! perp( X, Y, Z, T ), perp( Z, T,
% 2.65/3.06 X, Y ) }.
% 2.65/3.06 parent1[0]: (8786) {G11,W8,D3,L1,V0,M1} R(8777,6) { perp( skol10( skol23,
% 2.65/3.06 skol23, skol34 ), skol23, skol23, skol34 ) }.
% 2.65/3.06 substitution0:
% 2.65/3.06 X := skol10( skol23, skol23, skol34 )
% 2.65/3.06 Y := skol23
% 2.65/3.06 Z := skol23
% 2.65/3.06 T := skol34
% 2.65/3.06 end
% 2.65/3.06 substitution1:
% 2.65/3.06 end
% 2.65/3.06
% 2.65/3.06 subsumption: (8796) {G12,W8,D3,L1,V0,M1} R(8786,7) { perp( skol23, skol34,
% 2.65/3.06 skol10( skol23, skol23, skol34 ), skol23 ) }.
% 2.65/3.06 parent0: (19133) {G1,W8,D3,L1,V0,M1} { perp( skol23, skol34, skol10(
% 2.65/3.06 skol23, skol23, skol34 ), skol23 ) }.
% 2.65/3.06 substitution0:
% 2.65/3.06 end
% 2.65/3.06 permutation0:
% 2.65/3.06 0 ==> 0
% 2.65/3.06 end
% 2.65/3.06
% 2.65/3.06 resolution: (19134) {G1,W8,D3,L1,V0,M1} { perp( skol23, skol34, skol23,
% 2.65/3.06 skol10( skol23, skol23, skol34 ) ) }.
% 2.65/3.06 parent0[0]: (6) {G0,W10,D2,L2,V4,M2} I { ! perp( X, Y, Z, T ), perp( X, Y,
% 2.65/3.06 T, Z ) }.
% 2.65/3.06 parent1[0]: (8796) {G12,W8,D3,L1,V0,M1} R(8786,7) { perp( skol23, skol34,
% 2.65/3.06 skol10( skol23, skol23, skol34 ), skol23 ) }.
% 2.65/3.06 substitution0:
% 2.65/3.06 X := skol23
% 2.65/3.06 Y := skol34
% 2.65/3.06 Z := skol10( skol23, skol23, skol34 )
% 2.65/3.06 T := skol23
% 2.65/3.06 end
% 2.65/3.06 substitution1:
% 2.65/3.06 end
% 2.65/3.06
% 2.65/3.06 subsumption: (8802) {G13,W8,D3,L1,V0,M1} R(8796,6) { perp( skol23, skol34,
% 2.65/3.06 skol23, skol10( skol23, skol23, skol34 ) ) }.
% 2.65/3.06 parent0: (19134) {G1,W8,D3,L1,V0,M1} { perp( skol23, skol34, skol23,
% 2.65/3.06 skol10( skol23, skol23, skol34 ) ) }.
% 2.65/3.06 substitution0:
% 2.65/3.06 end
% 2.65/3.06 permutation0:
% 2.65/3.06 0 ==> 0
% 2.65/3.06 end
% 2.65/3.06
% 2.65/3.06 resolution: (19135) {G1,W8,D3,L1,V0,M1} { perp( skol34, skol27, skol27,
% 2.65/3.06 skol10( skol27, skol27, skol34 ) ) }.
% 2.65/3.06 parent0[0]: (7) {G0,W10,D2,L2,V4,M2} I { ! perp( X, Y, Z, T ), perp( Z, T,
% 2.65/3.06 X, Y ) }.
% 2.65/3.06 parent1[0]: (8326) {G8,W8,D3,L1,V0,M1} R(8324,155) { perp( skol27, skol10(
% 2.65/3.06 skol27, skol27, skol34 ), skol34, skol27 ) }.
% 2.65/3.06 substitution0:
% 2.65/3.06 X := skol27
% 2.65/3.06 Y := skol10( skol27, skol27, skol34 )
% 2.65/3.06 Z := skol34
% 2.65/3.06 T := skol27
% 2.65/3.06 end
% 2.65/3.06 substitution1:
% 2.65/3.06 end
% 2.65/3.06
% 2.65/3.06 subsumption: (9094) {G9,W8,D3,L1,V0,M1} R(8326,7) { perp( skol34, skol27,
% 2.65/3.06 skol27, skol10( skol27, skol27, skol34 ) ) }.
% 2.65/3.06 parent0: (19135) {G1,W8,D3,L1,V0,M1} { perp( skol34, skol27, skol27,
% 2.65/3.06 skol10( skol27, skol27, skol34 ) ) }.
% 2.65/3.06 substitution0:
% 2.65/3.06 end
% 2.65/3.06 permutation0:
% 2.65/3.06 0 ==> 0
% 2.65/3.06 end
% 2.65/3.06
% 2.65/3.06 resolution: (19136) {G3,W5,D2,L1,V0,M1} { para( skol34, skol27, skol34,
% 2.65/3.06 skol27 ) }.
% 2.65/3.06 parent0[0]: (293) {G2,W10,D2,L2,V4,M2} F(285) { ! perp( X, Y, Z, T ), para
% 2.65/3.06 ( X, Y, X, Y ) }.
% 2.65/3.06 parent1[0]: (9094) {G9,W8,D3,L1,V0,M1} R(8326,7) { perp( skol34, skol27,
% 2.65/3.06 skol27, skol10( skol27, skol27, skol34 ) ) }.
% 2.65/3.06 substitution0:
% 2.65/3.06 X := skol34
% 2.65/3.06 Y := skol27
% 2.65/3.06 Z := skol27
% 2.65/3.06 T := skol10( skol27, skol27, skol34 )
% 2.65/3.06 end
% 2.65/3.06 substitution1:
% 2.65/3.06 end
% 2.65/3.06
% 2.65/3.06 subsumption: (9510) {G10,W5,D2,L1,V0,M1} R(293,9094) { para( skol34, skol27
% 2.65/3.06 , skol34, skol27 ) }.
% 2.65/3.06 parent0: (19136) {G3,W5,D2,L1,V0,M1} { para( skol34, skol27, skol34,
% 2.65/3.06 skol27 ) }.
% 2.65/3.06 substitution0:
% 2.65/3.06 end
% 2.65/3.06 permutation0:
% 2.65/3.06 0 ==> 0
% 2.65/3.06 end
% 2.65/3.06
% 2.65/3.06 resolution: (19137) {G3,W5,D2,L1,V0,M1} { para( skol23, skol34, skol23,
% 2.65/3.06 skol34 ) }.
% 2.65/3.06 parent0[0]: (293) {G2,W10,D2,L2,V4,M2} F(285) { ! perp( X, Y, Z, T ), para
% 2.65/3.06 ( X, Y, X, Y ) }.
% 2.65/3.06 parent1[0]: (8802) {G13,W8,D3,L1,V0,M1} R(8796,6) { perp( skol23, skol34,
% 2.65/3.06 skol23, skol10( skol23, skol23, skol34 ) ) }.
% 2.65/3.06 substitution0:
% 2.65/3.06 X := skol23
% 2.65/3.06 Y := skol34
% 2.65/3.06 Z := skol23
% 2.65/3.06 T := skol10( skol23, skol23, skol34 )
% 2.65/3.06 end
% 2.65/3.06 substitution1:
% 2.65/3.06 end
% 2.65/3.06
% 2.65/3.06 subsumption: (9516) {G14,W5,D2,L1,V0,M1} R(293,8802) { para( skol23, skol34
% 2.65/3.06 , skol23, skol34 ) }.
% 2.65/3.06 parent0: (19137) {G3,W5,D2,L1,V0,M1} { para( skol23, skol34, skol23,
% 2.65/3.06 skol34 ) }.
% 2.65/3.06 substitution0:
% 2.65/3.06 end
% 2.65/3.06 permutation0:
% 2.65/3.06 0 ==> 0
% 2.65/3.06 end
% 2.65/3.06
% 2.65/3.06 resolution: (19138) {G3,W5,D2,L1,V0,M1} { para( skol27, skol20, skol27,
% 2.65/3.06 skol20 ) }.
% 2.65/3.06 parent0[0]: (293) {G2,W10,D2,L2,V4,M2} F(285) { ! perp( X, Y, Z, T ), para
% 2.65/3.06 ( X, Y, X, Y ) }.
% 2.65/3.06 parent1[0]: (4754) {G3,W7,D3,L1,V0,M1} R(4743,6) { perp( skol27, skol20,
% 2.65/3.06 skol27, skol12( skol27, skol20 ) ) }.
% 2.65/3.06 substitution0:
% 2.65/3.06 X := skol27
% 2.65/3.06 Y := skol20
% 2.65/3.06 Z := skol27
% 2.65/3.06 T := skol12( skol27, skol20 )
% 2.65/3.06 end
% 2.65/3.06 substitution1:
% 2.65/3.06 end
% 2.65/3.06
% 2.65/3.06 subsumption: (9538) {G4,W5,D2,L1,V0,M1} R(293,4754) { para( skol27, skol20
% 2.65/3.06 , skol27, skol20 ) }.
% 2.65/3.06 parent0: (19138) {G3,W5,D2,L1,V0,M1} { para( skol27, skol20, skol27,
% 2.65/3.06 skol20 ) }.
% 2.65/3.06 substitution0:
% 2.65/3.06 end
% 2.65/3.06 permutation0:
% 2.65/3.06 0 ==> 0
% 2.65/3.06 end
% 2.65/3.06
% 2.65/3.06 resolution: (19139) {G2,W8,D2,L2,V1,M2} { ! midp( X, skol34, skol34 ),
% 2.65/3.06 midp( X, skol27, skol27 ) }.
% 2.65/3.06 parent0[1]: (143) {G1,W13,D2,L3,V4,M3} F(64) { ! midp( X, Y, Z ), ! para( Y
% 2.65/3.06 , T, Z, T ), midp( X, T, T ) }.
% 2.65/3.06 parent1[0]: (9510) {G10,W5,D2,L1,V0,M1} R(293,9094) { para( skol34, skol27
% 2.65/3.06 , skol34, skol27 ) }.
% 2.65/3.06 substitution0:
% 2.65/3.06 X := X
% 2.65/3.06 Y := skol34
% 2.65/3.06 Z := skol34
% 2.65/3.06 T := skol27
% 2.65/3.06 end
% 2.65/3.06 substitution1:
% 2.65/3.06 end
% 2.65/3.06
% 2.65/3.06 subsumption: (9567) {G11,W8,D2,L2,V1,M2} R(9510,143) { ! midp( X, skol34,
% 2.65/3.06 skol34 ), midp( X, skol27, skol27 ) }.
% 2.65/3.06 parent0: (19139) {G2,W8,D2,L2,V1,M2} { ! midp( X, skol34, skol34 ), midp(
% 2.65/3.06 X, skol27, skol27 ) }.
% 2.65/3.06 substitution0:
% 2.65/3.06 X := X
% 2.65/3.06 end
% 2.65/3.06 permutation0:
% 2.65/3.06 0 ==> 0
% 2.65/3.06 1 ==> 1
% 2.65/3.06 end
% 2.65/3.06
% 2.65/3.06 resolution: (19140) {G2,W8,D2,L2,V1,M2} { ! midp( X, skol23, skol23 ),
% 2.65/3.06 midp( X, skol34, skol34 ) }.
% 2.65/3.06 parent0[1]: (143) {G1,W13,D2,L3,V4,M3} F(64) { ! midp( X, Y, Z ), ! para( Y
% 2.65/3.06 , T, Z, T ), midp( X, T, T ) }.
% 2.65/3.06 parent1[0]: (9516) {G14,W5,D2,L1,V0,M1} R(293,8802) { para( skol23, skol34
% 2.65/3.06 , skol23, skol34 ) }.
% 2.65/3.06 substitution0:
% 2.65/3.06 X := X
% 2.65/3.06 Y := skol23
% 2.65/3.06 Z := skol23
% 2.65/3.06 T := skol34
% 2.65/3.06 end
% 2.65/3.06 substitution1:
% 2.65/3.06 end
% 2.65/3.06
% 2.65/3.06 subsumption: (9605) {G15,W8,D2,L2,V1,M2} R(9516,143) { ! midp( X, skol23,
% 2.65/3.06 skol23 ), midp( X, skol34, skol34 ) }.
% 2.65/3.06 parent0: (19140) {G2,W8,D2,L2,V1,M2} { ! midp( X, skol23, skol23 ), midp(
% 2.65/3.06 X, skol34, skol34 ) }.
% 2.65/3.06 substitution0:
% 2.65/3.06 X := X
% 2.65/3.06 end
% 2.65/3.06 permutation0:
% 2.65/3.06 0 ==> 0
% 2.65/3.06 1 ==> 1
% 2.65/3.06 end
% 2.65/3.06
% 2.65/3.06 resolution: (19141) {G2,W8,D2,L2,V1,M2} { ! midp( X, skol27, skol27 ),
% 2.65/3.06 midp( X, skol20, skol20 ) }.
% 2.65/3.06 parent0[1]: (143) {G1,W13,D2,L3,V4,M3} F(64) { ! midp( X, Y, Z ), ! para( Y
% 2.65/3.06 , T, Z, T ), midp( X, T, T ) }.
% 2.65/3.06 parent1[0]: (9538) {G4,W5,D2,L1,V0,M1} R(293,4754) { para( skol27, skol20,
% 2.65/3.06 skol27, skol20 ) }.
% 2.65/3.06 substitution0:
% 2.65/3.06 X := X
% 2.65/3.06 Y := skol27
% 2.65/3.06 Z := skol27
% 2.65/3.06 T := skol20
% 2.65/3.06 end
% 2.65/3.06 substitution1:
% 2.65/3.06 end
% 2.65/3.06
% 2.65/3.06 subsumption: (9712) {G5,W8,D2,L2,V1,M2} R(9538,143) { ! midp( X, skol27,
% 2.65/3.06 skol27 ), midp( X, skol20, skol20 ) }.
% 2.65/3.06 parent0: (19141) {G2,W8,D2,L2,V1,M2} { ! midp( X, skol27, skol27 ), midp(
% 2.65/3.06 X, skol20, skol20 ) }.
% 2.65/3.06 substitution0:
% 2.65/3.06 X := X
% 2.65/3.06 end
% 2.65/3.06 permutation0:
% 2.65/3.06 0 ==> 0
% 2.65/3.06 1 ==> 1
% 2.65/3.06 end
% 2.65/3.06
% 2.65/3.06 resolution: (19142) {G12,W6,D3,L1,V0,M1} { midp( skol7( skol23, skol23 ),
% 2.65/3.06 skol34, skol34 ) }.
% 2.65/3.06 parent0[0]: (9605) {G15,W8,D2,L2,V1,M2} R(9516,143) { ! midp( X, skol23,
% 2.65/3.06 skol23 ), midp( X, skol34, skol34 ) }.
% 2.65/3.06 parent1[0]: (8266) {G11,W6,D3,L1,V1,M1} R(8082,10) { midp( skol7( skol23, X
% 2.65/3.06 ), X, skol23 ) }.
% 2.65/3.06 substitution0:
% 2.65/3.06 X := skol7( skol23, skol23 )
% 2.65/3.06 end
% 2.65/3.06 substitution1:
% 2.65/3.06 X := skol23
% 2.65/3.06 end
% 2.65/3.06
% 2.65/3.06 subsumption: (9987) {G16,W6,D3,L1,V0,M1} R(9605,8266) { midp( skol7( skol23
% 2.65/3.06 , skol23 ), skol34, skol34 ) }.
% 2.65/3.06 parent0: (19142) {G12,W6,D3,L1,V0,M1} { midp( skol7( skol23, skol23 ),
% 2.65/3.06 skol34, skol34 ) }.
% 2.65/3.06 substitution0:
% 2.65/3.06 end
% 2.65/3.06 permutation0:
% 2.65/3.06 0 ==> 0
% 2.65/3.06 end
% 2.65/3.06
% 2.65/3.06 resolution: (19143) {G12,W6,D3,L1,V0,M1} { midp( skol7( skol23, skol23 ),
% 2.65/3.06 skol27, skol27 ) }.
% 2.65/3.06 parent0[0]: (9567) {G11,W8,D2,L2,V1,M2} R(9510,143) { ! midp( X, skol34,
% 2.65/3.06 skol34 ), midp( X, skol27, skol27 ) }.
% 2.65/3.06 parent1[0]: (9987) {G16,W6,D3,L1,V0,M1} R(9605,8266) { midp( skol7( skol23
% 2.65/3.06 , skol23 ), skol34, skol34 ) }.
% 2.65/3.06 substitution0:
% 2.65/3.06 X := skol7( skol23, skol23 )
% 2.65/3.06 end
% 2.65/3.06 substitution1:
% 2.65/3.06 end
% 2.65/3.06
% 2.65/3.06 subsumption: (10235) {G17,W6,D3,L1,V0,M1} R(9567,9987) { midp( skol7(
% 2.65/3.06 skol23, skol23 ), skol27, skol27 ) }.
% 2.65/3.06 parent0: (19143) {G12,W6,D3,L1,V0,M1} { midp( skol7( skol23, skol23 ),
% 2.65/3.06 skol27, skol27 ) }.
% 2.65/3.06 substitution0:
% 2.65/3.06 end
% 2.65/3.06 permutation0:
% 2.65/3.06 0 ==> 0
% 2.65/3.06 end
% 2.65/3.06
% 2.65/3.06 resolution: (19144) {G6,W6,D3,L1,V0,M1} { midp( skol7( skol23, skol23 ),
% 2.65/3.06 skol20, skol20 ) }.
% 2.65/3.06 parent0[0]: (9712) {G5,W8,D2,L2,V1,M2} R(9538,143) { ! midp( X, skol27,
% 2.65/3.06 skol27 ), midp( X, skol20, skol20 ) }.
% 2.65/3.06 parent1[0]: (10235) {G17,W6,D3,L1,V0,M1} R(9567,9987) { midp( skol7( skol23
% 2.65/3.06 , skol23 ), skol27, skol27 ) }.
% 2.65/3.06 substitution0:
% 2.65/3.06 X := skol7( skol23, skol23 )
% 2.65/3.06 end
% 2.65/3.06 substitution1:
% 2.65/3.06 end
% 2.65/3.06
% 2.65/3.06 subsumption: (10250) {G18,W6,D3,L1,V0,M1} R(10235,9712) { midp( skol7(
% 2.65/3.06 skol23, skol23 ), skol20, skol20 ) }.
% 2.65/3.06 parent0: (19144) {G6,W6,D3,L1,V0,M1} { midp( skol7( skol23, skol23 ),
% 2.65/3.06 skol20, skol20 ) }.
% 2.65/3.06 substitution0:
% 2.65/3.06 end
% 2.65/3.06 permutation0:
% 2.65/3.06 0 ==> 0
% 2.65/3.06 end
% 2.65/3.06
% 2.65/3.06 resolution: (19145) {G2,W9,D2,L1,V3,M1} { eqangle( X, X, X, X, Y, Z, Y, Z
% 2.65/3.06 ) }.
% 2.65/3.06 parent0[1]: (428) {G1,W18,D2,L2,V8,M2} R(20,17) { eqangle( X, Y, Z, T, U, W
% 2.65/3.06 , V0, V1 ), ! eqangle( Y, X, U, W, Z, T, V0, V1 ) }.
% 2.65/3.06 parent1[0]: (8724) {G14,W9,D2,L1,V3,M1} R(8717,39) { eqangle( X, X, Y, Z, X
% 2.65/3.06 , X, Y, Z ) }.
% 2.65/3.06 substitution0:
% 2.65/3.06 X := X
% 2.65/3.06 Y := X
% 2.65/3.06 Z := X
% 2.65/3.06 T := X
% 2.65/3.06 U := Y
% 2.65/3.06 W := Z
% 2.65/3.06 V0 := Y
% 2.65/3.06 V1 := Z
% 2.65/3.06 end
% 2.65/3.06 substitution1:
% 2.65/3.06 X := X
% 2.65/3.06 Y := Y
% 2.65/3.06 Z := Z
% 2.65/3.06 end
% 2.65/3.06
% 2.65/3.06 subsumption: (12189) {G15,W9,D2,L1,V3,M1} R(8724,428) { eqangle( X, X, X, X
% 2.65/3.06 , Y, Z, Y, Z ) }.
% 2.65/3.06 parent0: (19145) {G2,W9,D2,L1,V3,M1} { eqangle( X, X, X, X, Y, Z, Y, Z )
% 2.65/3.06 }.
% 2.65/3.06 substitution0:
% 2.65/3.06 X := X
% 2.65/3.06 Y := Y
% 2.65/3.06 Z := Z
% 2.65/3.06 end
% 2.65/3.06 permutation0:
% 2.65/3.06 0 ==> 0
% 2.65/3.06 end
% 2.65/3.06
% 2.65/3.06 resolution: (19146) {G2,W9,D2,L1,V3,M1} { eqangle( Z, Y, Y, Z, X, X, X, X
% 2.65/3.06 ) }.
% 2.65/3.06 parent0[0]: (416) {G1,W18,D2,L2,V8,M2} R(19,17) { ! eqangle( X, Y, Z, T, U
% 2.65/3.06 , W, V0, V1 ), eqangle( W, U, V0, V1, X, Y, Z, T ) }.
% 2.65/3.06 parent1[0]: (12189) {G15,W9,D2,L1,V3,M1} R(8724,428) { eqangle( X, X, X, X
% 2.65/3.06 , Y, Z, Y, Z ) }.
% 2.65/3.06 substitution0:
% 2.65/3.06 X := X
% 2.65/3.06 Y := X
% 2.65/3.06 Z := X
% 2.65/3.06 T := X
% 2.65/3.06 U := Y
% 2.65/3.06 W := Z
% 2.65/3.06 V0 := Y
% 2.65/3.06 V1 := Z
% 2.65/3.06 end
% 2.65/3.06 substitution1:
% 2.65/3.06 X := X
% 2.65/3.06 Y := Y
% 2.65/3.06 Z := Z
% 2.65/3.06 end
% 2.65/3.06
% 2.65/3.06 subsumption: (12194) {G16,W9,D2,L1,V3,M1} R(12189,416) { eqangle( X, Y, Y,
% 2.65/3.06 X, Z, Z, Z, Z ) }.
% 2.65/3.06 parent0: (19146) {G2,W9,D2,L1,V3,M1} { eqangle( Z, Y, Y, Z, X, X, X, X )
% 2.65/3.06 }.
% 2.65/3.06 substitution0:
% 2.65/3.06 X := Z
% 2.65/3.06 Y := Y
% 2.65/3.06 Z := X
% 2.65/3.06 end
% 2.65/3.06 permutation0:
% 2.65/3.06 0 ==> 0
% 2.65/3.06 end
% 2.65/3.06
% 2.65/3.06 resolution: (19147) {G1,W10,D2,L2,V3,M2} { ! para( Z, Z, Z, Z ), para( X,
% 2.65/3.06 Y, Y, X ) }.
% 2.65/3.06 parent0[0]: (72) {G0,W19,D2,L3,V8,M3} I { ! eqangle( X, Y, Z, T, U, W, V0,
% 2.65/3.06 V1 ), ! para( U, W, V0, V1 ), para( X, Y, Z, T ) }.
% 2.65/3.06 parent1[0]: (12194) {G16,W9,D2,L1,V3,M1} R(12189,416) { eqangle( X, Y, Y, X
% 2.65/3.06 , Z, Z, Z, Z ) }.
% 2.65/3.06 substitution0:
% 2.65/3.06 X := X
% 2.65/3.06 Y := Y
% 2.65/3.06 Z := Y
% 2.65/3.06 T := X
% 2.65/3.06 U := Z
% 2.65/3.06 W := Z
% 2.65/3.06 V0 := Z
% 2.65/3.06 V1 := Z
% 2.65/3.06 end
% 2.65/3.06 substitution1:
% 2.65/3.06 X := X
% 2.65/3.06 Y := Y
% 2.65/3.06 Z := Z
% 2.65/3.06 end
% 2.65/3.06
% 2.65/3.06 resolution: (19148) {G2,W5,D2,L1,V2,M1} { para( Y, Z, Z, Y ) }.
% 2.65/3.06 parent0[0]: (19147) {G1,W10,D2,L2,V3,M2} { ! para( Z, Z, Z, Z ), para( X,
% 2.65/3.06 Y, Y, X ) }.
% 2.65/3.06 parent1[0]: (8717) {G13,W5,D2,L1,V1,M1} R(235,8274) { para( X, X, X, X )
% 2.65/3.06 }.
% 2.65/3.06 substitution0:
% 2.65/3.06 X := Y
% 2.65/3.06 Y := Z
% 2.65/3.06 Z := X
% 2.65/3.06 end
% 2.65/3.06 substitution1:
% 2.65/3.06 X := X
% 2.65/3.06 end
% 2.65/3.06
% 2.65/3.06 subsumption: (12201) {G17,W5,D2,L1,V2,M1} R(12194,72);r(8717) { para( Y, Z
% 2.65/3.06 , Z, Y ) }.
% 2.65/3.06 parent0: (19148) {G2,W5,D2,L1,V2,M1} { para( Y, Z, Z, Y ) }.
% 2.65/3.06 substitution0:
% 2.65/3.06 X := T
% 2.65/3.06 Y := Y
% 2.65/3.06 Z := Z
% 2.65/3.06 end
% 2.65/3.06 permutation0:
% 2.65/3.06 0 ==> 0
% 2.65/3.06 end
% 2.65/3.06
% 2.65/3.06 resolution: (19149) {G3,W5,D2,L1,V2,M1} { para( Y, X, Y, X ) }.
% 2.65/3.06 parent0[0]: (236) {G2,W10,D2,L2,V4,M2} F(230) { ! para( X, Y, Z, T ), para
% 2.65/3.06 ( Z, T, Z, T ) }.
% 2.65/3.06 parent1[0]: (12201) {G17,W5,D2,L1,V2,M1} R(12194,72);r(8717) { para( Y, Z,
% 2.65/3.06 Z, Y ) }.
% 2.65/3.06 substitution0:
% 2.65/3.06 X := X
% 2.65/3.06 Y := Y
% 2.65/3.06 Z := Y
% 2.65/3.06 T := X
% 2.65/3.06 end
% 2.65/3.06 substitution1:
% 2.65/3.06 X := Z
% 2.65/3.06 Y := X
% 2.65/3.06 Z := Y
% 2.65/3.06 end
% 2.65/3.06
% 2.65/3.06 subsumption: (12202) {G18,W5,D2,L1,V2,M1} R(12201,236) { para( X, Y, X, Y )
% 2.65/3.06 }.
% 2.65/3.06 parent0: (19149) {G3,W5,D2,L1,V2,M1} { para( Y, X, Y, X ) }.
% 2.65/3.06 substitution0:
% 2.65/3.06 X := Y
% 2.65/3.06 Y := X
% 2.65/3.06 end
% 2.65/3.06 permutation0:
% 2.65/3.06 0 ==> 0
% 2.65/3.06 end
% 2.65/3.06
% 2.65/3.06 resolution: (19150) {G2,W8,D2,L2,V3,M2} { ! midp( X, Y, Y ), midp( X, Z, Z
% 2.65/3.06 ) }.
% 2.65/3.06 parent0[1]: (143) {G1,W13,D2,L3,V4,M3} F(64) { ! midp( X, Y, Z ), ! para( Y
% 2.65/3.06 , T, Z, T ), midp( X, T, T ) }.
% 2.65/3.06 parent1[0]: (12202) {G18,W5,D2,L1,V2,M1} R(12201,236) { para( X, Y, X, Y )
% 2.65/3.06 }.
% 2.65/3.06 substitution0:
% 2.65/3.06 X := X
% 2.65/3.06 Y := Y
% 2.65/3.06 Z := Y
% 2.65/3.06 T := Z
% 2.65/3.06 end
% 2.65/3.06 substitution1:
% 2.65/3.06 X := Y
% 2.65/3.06 Y := Z
% 2.65/3.06 end
% 2.65/3.06
% 2.65/3.06 subsumption: (12206) {G19,W8,D2,L2,V3,M2} R(12202,143) { ! midp( X, Y, Y )
% 2.65/3.06 , midp( X, Z, Z ) }.
% 2.65/3.06 parent0: (19150) {G2,W8,D2,L2,V3,M2} { ! midp( X, Y, Y ), midp( X, Z, Z )
% 2.65/3.06 }.
% 2.65/3.06 substitution0:
% 2.65/3.06 X := X
% 2.65/3.06 Y := Y
% 2.65/3.06 Z := Z
% 2.65/3.06 end
% 2.65/3.06 permutation0:
% 2.65/3.06 0 ==> 0
% 2.65/3.06 1 ==> 1
% 2.65/3.06 end
% 2.65/3.06
% 2.65/3.06 resolution: (19151) {G19,W6,D3,L1,V1,M1} { midp( skol7( skol23, skol23 ),
% 2.65/3.06 X, X ) }.
% 2.65/3.06 parent0[0]: (12206) {G19,W8,D2,L2,V3,M2} R(12202,143) { ! midp( X, Y, Y ),
% 2.65/3.06 midp( X, Z, Z ) }.
% 2.65/3.06 parent1[0]: (10250) {G18,W6,D3,L1,V0,M1} R(10235,9712) { midp( skol7(
% 2.65/3.06 skol23, skol23 ), skol20, skol20 ) }.
% 2.65/3.06 substitution0:
% 2.65/3.06 X := skol7( skol23, skol23 )
% 2.65/3.06 Y := skol20
% 2.65/3.06 Z := X
% 2.65/3.06 end
% 2.65/3.06 substitution1:
% 2.65/3.06 end
% 2.65/3.06
% 2.65/3.06 subsumption: (12209) {G20,W6,D3,L1,V1,M1} R(12206,10250) { midp( skol7(
% 2.65/3.06 skol23, skol23 ), X, X ) }.
% 2.65/3.06 parent0: (19151) {G19,W6,D3,L1,V1,M1} { midp( skol7( skol23, skol23 ), X,
% 2.65/3.06 X ) }.
% 2.65/3.06 substitution0:
% 2.65/3.06 X := X
% 2.65/3.06 end
% 2.65/3.06 permutation0:
% 2.65/3.06 0 ==> 0
% 2.65/3.06 end
% 2.65/3.06
% 2.65/3.06 resolution: (19152) {G2,W15,D2,L3,V0,M3} { ! cyclic( skol27, skol27,
% 2.65/3.06 skol27, skol27 ), ! cyclic( skol27, skol27, skol27, skol27 ), cong(
% 2.65/3.06 skol27, skol27, skol27, skol27 ) }.
% 2.65/3.06 parent0[2]: (137) {G1,W24,D2,L4,V5,M4} F(43) { ! cyclic( X, Y, Z, T ), !
% 2.65/3.06 cyclic( X, Y, Z, U ), ! eqangle( Z, X, Z, Y, U, T, U, U ), cong( X, Y, T
% 2.65/3.06 , U ) }.
% 2.65/3.06 parent1[0]: (8216) {G13,W9,D2,L1,V3,M1} R(8212,39) { eqangle( X, X, Y, Z,
% 2.65/3.06 skol27, skol27, Y, Z ) }.
% 2.65/3.06 substitution0:
% 2.65/3.06 X := skol27
% 2.65/3.06 Y := skol27
% 2.65/3.06 Z := skol27
% 2.65/3.06 T := skol27
% 2.65/3.06 U := skol27
% 2.65/3.06 end
% 2.65/3.06 substitution1:
% 2.65/3.06 X := skol27
% 2.65/3.06 Y := skol27
% 2.65/3.06 Z := skol27
% 2.65/3.06 end
% 2.65/3.06
% 2.65/3.06 factor: (19153) {G2,W10,D2,L2,V0,M2} { ! cyclic( skol27, skol27, skol27,
% 2.65/3.06 skol27 ), cong( skol27, skol27, skol27, skol27 ) }.
% 2.65/3.06 parent0[0, 1]: (19152) {G2,W15,D2,L3,V0,M3} { ! cyclic( skol27, skol27,
% 2.65/3.06 skol27, skol27 ), ! cyclic( skol27, skol27, skol27, skol27 ), cong(
% 2.65/3.06 skol27, skol27, skol27, skol27 ) }.
% 2.65/3.06 substitution0:
% 2.65/3.06 end
% 2.65/3.06
% 2.65/3.06 resolution: (19155) {G3,W5,D2,L1,V0,M1} { cong( skol27, skol27, skol27,
% 2.65/3.06 skol27 ) }.
% 2.65/3.06 parent0[0]: (19153) {G2,W10,D2,L2,V0,M2} { ! cyclic( skol27, skol27,
% 2.65/3.06 skol27, skol27 ), cong( skol27, skol27, skol27, skol27 ) }.
% 2.65/3.06 parent1[0]: (7352) {G4,W5,D2,L1,V0,M1} R(134,7319) { cyclic( skol27, skol27
% 2.65/3.06 , skol27, skol27 ) }.
% 2.65/3.06 substitution0:
% 2.65/3.06 end
% 2.65/3.06 substitution1:
% 2.65/3.06 end
% 2.65/3.06
% 2.65/3.06 subsumption: (12597) {G14,W5,D2,L1,V0,M1} R(8216,137);f;r(7352) { cong(
% 2.65/3.06 skol27, skol27, skol27, skol27 ) }.
% 2.65/3.06 parent0: (19155) {G3,W5,D2,L1,V0,M1} { cong( skol27, skol27, skol27,
% 2.65/3.06 skol27 ) }.
% 2.65/3.06 substitution0:
% 2.65/3.06 end
% 2.65/3.06 permutation0:
% 2.65/3.06 0 ==> 0
% 2.65/3.06 end
% 2.65/3.06
% 2.65/3.06 resolution: (19156) {G2,W10,D2,L2,V0,M2} { ! cyclic( skol27, skol27,
% 2.65/3.06 skol27, skol27 ), perp( skol27, skol27, skol27, skol27 ) }.
% 2.65/3.06 parent0[0]: (140) {G1,W15,D2,L3,V3,M3} F(57) { ! cong( X, Y, Z, Y ), !
% 2.65/3.06 cyclic( X, Z, Y, Y ), perp( Y, X, X, Y ) }.
% 2.65/3.06 parent1[0]: (12597) {G14,W5,D2,L1,V0,M1} R(8216,137);f;r(7352) { cong(
% 2.65/3.06 skol27, skol27, skol27, skol27 ) }.
% 2.65/3.06 substitution0:
% 2.65/3.06 X := skol27
% 2.65/3.06 Y := skol27
% 2.65/3.06 Z := skol27
% 2.65/3.06 end
% 2.65/3.06 substitution1:
% 2.65/3.06 end
% 2.65/3.06
% 2.65/3.06 resolution: (19157) {G3,W5,D2,L1,V0,M1} { perp( skol27, skol27, skol27,
% 2.65/3.06 skol27 ) }.
% 2.65/3.06 parent0[0]: (19156) {G2,W10,D2,L2,V0,M2} { ! cyclic( skol27, skol27,
% 2.65/3.06 skol27, skol27 ), perp( skol27, skol27, skol27, skol27 ) }.
% 2.65/3.06 parent1[0]: (7352) {G4,W5,D2,L1,V0,M1} R(134,7319) { cyclic( skol27, skol27
% 2.65/3.06 , skol27, skol27 ) }.
% 2.65/3.06 substitution0:
% 2.65/3.06 end
% 2.65/3.06 substitution1:
% 2.65/3.06 end
% 2.65/3.06
% 2.65/3.06 subsumption: (12623) {G15,W5,D2,L1,V0,M1} R(12597,140);r(7352) { perp(
% 2.65/3.06 skol27, skol27, skol27, skol27 ) }.
% 2.65/3.06 parent0: (19157) {G3,W5,D2,L1,V0,M1} { perp( skol27, skol27, skol27,
% 2.65/3.06 skol27 ) }.
% 2.65/3.06 substitution0:
% 2.65/3.06 end
% 2.65/3.06 permutation0:
% 2.65/3.06 0 ==> 0
% 2.65/3.06 end
% 2.65/3.06
% 2.65/3.06 resolution: (19158) {G2,W10,D2,L2,V2,M2} { perp( X, Y, skol27, skol27 ), !
% 2.65/3.06 para( X, Y, skol27, skol27 ) }.
% 2.65/3.06 parent0[0]: (311) {G1,W15,D2,L3,V6,M3} R(9,3) { ! perp( X, Y, Z, T ), perp
% 2.65/3.06 ( U, W, Z, T ), ! para( U, W, Y, X ) }.
% 2.65/3.06 parent1[0]: (12623) {G15,W5,D2,L1,V0,M1} R(12597,140);r(7352) { perp(
% 2.65/3.06 skol27, skol27, skol27, skol27 ) }.
% 2.65/3.06 substitution0:
% 2.65/3.06 X := skol27
% 2.65/3.06 Y := skol27
% 2.65/3.06 Z := skol27
% 2.65/3.06 T := skol27
% 2.65/3.06 U := X
% 2.65/3.06 W := Y
% 2.65/3.06 end
% 2.65/3.06 substitution1:
% 2.65/3.06 end
% 2.65/3.06
% 2.65/3.06 subsumption: (12635) {G16,W10,D2,L2,V2,M2} R(12623,311) { perp( X, Y,
% 2.65/3.06 skol27, skol27 ), ! para( X, Y, skol27, skol27 ) }.
% 2.65/3.06 parent0: (19158) {G2,W10,D2,L2,V2,M2} { perp( X, Y, skol27, skol27 ), !
% 2.65/3.06 para( X, Y, skol27, skol27 ) }.
% 2.65/3.06 substitution0:
% 2.65/3.06 X := X
% 2.65/3.06 Y := Y
% 2.65/3.06 end
% 2.65/3.06 permutation0:
% 2.65/3.06 0 ==> 0
% 2.65/3.06 1 ==> 1
% 2.65/3.06 end
% 2.65/3.06
% 2.65/3.06 resolution: (19160) {G2,W10,D2,L2,V2,M2} { ! perp( skol27, skol27, X, Y )
% 2.65/3.06 , para( skol27, skol27, X, Y ) }.
% 2.65/3.06 parent0[2]: (286) {G1,W15,D2,L3,V6,M3} R(8,6) { ! perp( X, Y, Z, T ), para
% 2.65/3.06 ( U, W, Z, T ), ! perp( U, W, Y, X ) }.
% 2.65/3.06 parent1[0]: (12623) {G15,W5,D2,L1,V0,M1} R(12597,140);r(7352) { perp(
% 2.65/3.06 skol27, skol27, skol27, skol27 ) }.
% 2.65/3.06 substitution0:
% 2.65/3.06 X := skol27
% 2.65/3.06 Y := skol27
% 2.65/3.06 Z := X
% 2.65/3.06 T := Y
% 2.65/3.06 U := skol27
% 2.65/3.06 W := skol27
% 2.65/3.06 end
% 2.65/3.06 substitution1:
% 2.65/3.06 end
% 2.65/3.06
% 2.65/3.06 subsumption: (12652) {G16,W10,D2,L2,V2,M2} R(12623,286) { ! perp( skol27,
% 2.65/3.06 skol27, X, Y ), para( skol27, skol27, X, Y ) }.
% 2.65/3.06 parent0: (19160) {G2,W10,D2,L2,V2,M2} { ! perp( skol27, skol27, X, Y ),
% 2.65/3.06 para( skol27, skol27, X, Y ) }.
% 2.65/3.06 substitution0:
% 2.65/3.06 X := X
% 2.65/3.06 Y := Y
% 2.65/3.06 end
% 2.65/3.06 permutation0:
% 2.65/3.06 0 ==> 0
% 2.65/3.06 1 ==> 1
% 2.65/3.06 end
% 2.65/3.06
% 2.65/3.06 resolution: (19161) {G3,W5,D2,L1,V0,M1} { cong( skol34, skol27, skol34,
% 2.65/3.06 skol27 ) }.
% 2.65/3.06 parent0[0]: (510) {G2,W10,D2,L2,V4,M2} F(499) { ! cong( X, Y, Z, T ), cong
% 2.65/3.06 ( X, Y, X, Y ) }.
% 2.65/3.06 parent1[0]: (2476) {G3,W5,D2,L1,V0,M1} R(2466,22) { cong( skol34, skol27,
% 2.65/3.06 skol23, skol34 ) }.
% 2.65/3.06 substitution0:
% 2.65/3.06 X := skol34
% 2.65/3.06 Y := skol27
% 2.65/3.06 Z := skol23
% 2.65/3.06 T := skol34
% 2.65/3.06 end
% 2.65/3.06 substitution1:
% 2.65/3.06 end
% 2.65/3.06
% 2.65/3.06 subsumption: (13427) {G4,W5,D2,L1,V0,M1} R(510,2476) { cong( skol34, skol27
% 2.65/3.06 , skol34, skol27 ) }.
% 2.65/3.06 parent0: (19161) {G3,W5,D2,L1,V0,M1} { cong( skol34, skol27, skol34,
% 2.65/3.06 skol27 ) }.
% 2.65/3.06 substitution0:
% 2.65/3.06 end
% 2.65/3.06 permutation0:
% 2.65/3.06 0 ==> 0
% 2.65/3.06 end
% 2.65/3.06
% 2.65/3.06 resolution: (19162) {G1,W9,D2,L1,V0,M1} { eqangle( skol34, skol27, skol27
% 2.65/3.06 , skol27, skol27, skol27, skol34, skol27 ) }.
% 2.65/3.06 parent0[0]: (46) {G0,W14,D2,L2,V3,M2} I { ! cong( Z, X, Z, Y ), eqangle( Z
% 2.65/3.06 , X, X, Y, X, Y, Z, Y ) }.
% 2.65/3.06 parent1[0]: (13427) {G4,W5,D2,L1,V0,M1} R(510,2476) { cong( skol34, skol27
% 2.65/3.06 , skol34, skol27 ) }.
% 2.65/3.06 substitution0:
% 2.65/3.06 X := skol27
% 2.65/3.06 Y := skol27
% 2.65/3.06 Z := skol34
% 2.65/3.06 end
% 2.65/3.06 substitution1:
% 2.65/3.06 end
% 2.65/3.06
% 2.65/3.06 subsumption: (13698) {G5,W9,D2,L1,V0,M1} R(13427,46) { eqangle( skol34,
% 2.65/3.06 skol27, skol27, skol27, skol27, skol27, skol34, skol27 ) }.
% 2.65/3.06 parent0: (19162) {G1,W9,D2,L1,V0,M1} { eqangle( skol34, skol27, skol27,
% 2.65/3.06 skol27, skol27, skol27, skol34, skol27 ) }.
% 2.65/3.06 substitution0:
% 2.65/3.06 end
% 2.65/3.06 permutation0:
% 2.65/3.06 0 ==> 0
% 2.65/3.06 end
% 2.65/3.06
% 2.65/3.06 resolution: (19163) {G2,W9,D2,L1,V0,M1} { eqangle( skol27, skol34, skol27
% 2.65/3.06 , skol27, skol27, skol27, skol34, skol27 ) }.
% 2.65/3.06 parent0[1]: (428) {G1,W18,D2,L2,V8,M2} R(20,17) { eqangle( X, Y, Z, T, U, W
% 2.65/3.06 , V0, V1 ), ! eqangle( Y, X, U, W, Z, T, V0, V1 ) }.
% 2.65/3.06 parent1[0]: (13698) {G5,W9,D2,L1,V0,M1} R(13427,46) { eqangle( skol34,
% 2.65/3.06 skol27, skol27, skol27, skol27, skol27, skol34, skol27 ) }.
% 2.65/3.06 substitution0:
% 2.65/3.06 X := skol27
% 2.65/3.06 Y := skol34
% 2.65/3.06 Z := skol27
% 2.65/3.06 T := skol27
% 2.65/3.06 U := skol27
% 2.65/3.06 W := skol27
% 2.65/3.06 V0 := skol34
% 2.65/3.06 V1 := skol27
% 2.65/3.06 end
% 2.65/3.06 substitution1:
% 2.65/3.06 end
% 2.65/3.06
% 2.65/3.06 subsumption: (14489) {G6,W9,D2,L1,V0,M1} R(13698,428) { eqangle( skol27,
% 2.65/3.06 skol34, skol27, skol27, skol27, skol27, skol34, skol27 ) }.
% 2.65/3.06 parent0: (19163) {G2,W9,D2,L1,V0,M1} { eqangle( skol27, skol34, skol27,
% 2.65/3.06 skol27, skol27, skol27, skol34, skol27 ) }.
% 2.65/3.06 substitution0:
% 2.65/3.06 end
% 2.65/3.06 permutation0:
% 2.65/3.06 0 ==> 0
% 2.65/3.06 end
% 2.65/3.06
% 2.65/3.06 resolution: (19164) {G1,W10,D2,L2,V0,M2} { para( skol34, skol27, skol27,
% 2.65/3.06 skol27 ), perp( skol34, skol27, skol27, skol27 ) }.
% 2.65/3.06 parent0[0]: (71) {G0,W19,D2,L3,V4,M3} I { ! eqangle( X, Y, Z, T, Z, T, X, Y
% 2.65/3.06 ), para( X, Y, Z, T ), perp( X, Y, Z, T ) }.
% 2.65/3.06 parent1[0]: (13698) {G5,W9,D2,L1,V0,M1} R(13427,46) { eqangle( skol34,
% 2.65/3.06 skol27, skol27, skol27, skol27, skol27, skol34, skol27 ) }.
% 2.65/3.06 substitution0:
% 2.65/3.06 X := skol34
% 2.65/3.06 Y := skol27
% 2.65/3.06 Z := skol27
% 2.65/3.06 T := skol27
% 2.65/3.06 end
% 2.65/3.06 substitution1:
% 2.65/3.06 end
% 2.65/3.06
% 2.65/3.06 resolution: (19165) {G2,W10,D2,L2,V0,M2} { perp( skol34, skol27, skol27,
% 2.65/3.06 skol27 ), perp( skol34, skol27, skol27, skol27 ) }.
% 2.65/3.06 parent0[1]: (12635) {G16,W10,D2,L2,V2,M2} R(12623,311) { perp( X, Y, skol27
% 2.65/3.06 , skol27 ), ! para( X, Y, skol27, skol27 ) }.
% 2.65/3.06 parent1[0]: (19164) {G1,W10,D2,L2,V0,M2} { para( skol34, skol27, skol27,
% 2.65/3.06 skol27 ), perp( skol34, skol27, skol27, skol27 ) }.
% 2.65/3.06 substitution0:
% 2.65/3.06 X := skol34
% 2.65/3.06 Y := skol27
% 2.65/3.06 end
% 2.65/3.06 substitution1:
% 2.65/3.06 end
% 2.65/3.06
% 2.65/3.06 factor: (19166) {G2,W5,D2,L1,V0,M1} { perp( skol34, skol27, skol27, skol27
% 2.65/3.06 ) }.
% 2.65/3.06 parent0[0, 1]: (19165) {G2,W10,D2,L2,V0,M2} { perp( skol34, skol27, skol27
% 2.65/3.06 , skol27 ), perp( skol34, skol27, skol27, skol27 ) }.
% 2.65/3.06 substitution0:
% 2.65/3.06 end
% 2.65/3.06
% 2.65/3.06 subsumption: (14493) {G17,W5,D2,L1,V0,M1} R(13698,71);r(12635) { perp(
% 2.65/3.06 skol34, skol27, skol27, skol27 ) }.
% 2.65/3.06 parent0: (19166) {G2,W5,D2,L1,V0,M1} { perp( skol34, skol27, skol27,
% 2.65/3.06 skol27 ) }.
% 2.65/3.06 substitution0:
% 2.65/3.06 end
% 2.65/3.06 permutation0:
% 2.65/3.06 0 ==> 0
% 2.65/3.06 end
% 2.65/3.06
% 2.65/3.06 resolution: (19167) {G2,W5,D2,L1,V0,M1} { perp( skol27, skol27, skol34,
% 2.65/3.06 skol27 ) }.
% 2.65/3.06 parent0[1]: (274) {G1,W10,D2,L2,V4,M2} R(7,6) { perp( X, Y, Z, T ), ! perp
% 2.65/3.06 ( Z, T, Y, X ) }.
% 2.65/3.06 parent1[0]: (14493) {G17,W5,D2,L1,V0,M1} R(13698,71);r(12635) { perp(
% 2.65/3.06 skol34, skol27, skol27, skol27 ) }.
% 2.65/3.06 substitution0:
% 2.65/3.06 X := skol27
% 2.65/3.06 Y := skol27
% 2.65/3.06 Z := skol34
% 2.65/3.06 T := skol27
% 2.65/3.06 end
% 2.65/3.06 substitution1:
% 2.65/3.06 end
% 2.65/3.06
% 2.65/3.06 subsumption: (14520) {G18,W5,D2,L1,V0,M1} R(14493,274) { perp( skol27,
% 2.65/3.06 skol27, skol34, skol27 ) }.
% 2.65/3.06 parent0: (19167) {G2,W5,D2,L1,V0,M1} { perp( skol27, skol27, skol34,
% 2.65/3.06 skol27 ) }.
% 2.65/3.06 substitution0:
% 2.65/3.06 end
% 2.65/3.06 permutation0:
% 2.65/3.06 0 ==> 0
% 2.65/3.06 end
% 2.65/3.06
% 2.65/3.06 resolution: (19168) {G2,W9,D2,L1,V0,M1} { eqangle( skol34, skol27, skol27
% 2.65/3.06 , skol27, skol27, skol27, skol27, skol34 ) }.
% 2.65/3.06 parent0[1]: (414) {G1,W18,D2,L2,V8,M2} R(19,18) { eqangle( X, Y, Z, T, U, W
% 2.65/3.06 , V0, V1 ), ! eqangle( V0, V1, U, W, Z, T, X, Y ) }.
% 2.65/3.06 parent1[0]: (14489) {G6,W9,D2,L1,V0,M1} R(13698,428) { eqangle( skol27,
% 2.65/3.06 skol34, skol27, skol27, skol27, skol27, skol34, skol27 ) }.
% 2.65/3.06 substitution0:
% 2.65/3.06 X := skol34
% 2.65/3.06 Y := skol27
% 2.65/3.06 Z := skol27
% 2.65/3.06 T := skol27
% 2.65/3.06 U := skol27
% 2.65/3.06 W := skol27
% 2.65/3.06 V0 := skol27
% 2.65/3.06 V1 := skol34
% 2.65/3.06 end
% 2.65/3.06 substitution1:
% 2.65/3.06 end
% 2.65/3.06
% 2.65/3.06 subsumption: (14879) {G7,W9,D2,L1,V0,M1} R(14489,414) { eqangle( skol34,
% 2.65/3.06 skol27, skol27, skol27, skol27, skol27, skol27, skol34 ) }.
% 2.65/3.06 parent0: (19168) {G2,W9,D2,L1,V0,M1} { eqangle( skol34, skol27, skol27,
% 2.65/3.06 skol27, skol27, skol27, skol27, skol34 ) }.
% 2.65/3.06 substitution0:
% 2.65/3.06 end
% 2.65/3.06 permutation0:
% 2.65/3.06 0 ==> 0
% 2.65/3.06 end
% 2.65/3.06
% 2.65/3.06 resolution: (19169) {G2,W9,D2,L1,V0,M1} { eqangle( skol27, skol27, skol27
% 2.65/3.06 , skol34, skol27, skol34, skol27, skol27 ) }.
% 2.65/3.06 parent0[1]: (415) {G1,W18,D2,L2,V8,M2} R(19,17) { eqangle( X, Y, Z, T, U, W
% 2.65/3.06 , V0, V1 ), ! eqangle( W, U, V0, V1, X, Y, Z, T ) }.
% 2.65/3.06 parent1[0]: (14879) {G7,W9,D2,L1,V0,M1} R(14489,414) { eqangle( skol34,
% 2.65/3.06 skol27, skol27, skol27, skol27, skol27, skol27, skol34 ) }.
% 2.65/3.06 substitution0:
% 2.65/3.06 X := skol27
% 2.65/3.06 Y := skol27
% 2.65/3.06 Z := skol27
% 2.65/3.06 T := skol34
% 2.65/3.06 U := skol27
% 2.65/3.06 W := skol34
% 2.65/3.06 V0 := skol27
% 2.65/3.06 V1 := skol27
% 2.65/3.06 end
% 2.65/3.06 substitution1:
% 2.65/3.06 end
% 2.65/3.06
% 2.65/3.06 subsumption: (14881) {G8,W9,D2,L1,V0,M1} R(14879,415) { eqangle( skol27,
% 2.65/3.06 skol27, skol27, skol34, skol27, skol34, skol27, skol27 ) }.
% 2.65/3.06 parent0: (19169) {G2,W9,D2,L1,V0,M1} { eqangle( skol27, skol27, skol27,
% 2.65/3.06 skol34, skol27, skol34, skol27, skol27 ) }.
% 2.65/3.06 substitution0:
% 2.65/3.06 end
% 2.65/3.06 permutation0:
% 2.65/3.06 0 ==> 0
% 2.65/3.06 end
% 2.65/3.06
% 2.65/3.06 resolution: (19170) {G1,W10,D2,L2,V0,M2} { para( skol27, skol27, skol27,
% 2.65/3.06 skol34 ), perp( skol27, skol27, skol27, skol34 ) }.
% 2.65/3.06 parent0[0]: (71) {G0,W19,D2,L3,V4,M3} I { ! eqangle( X, Y, Z, T, Z, T, X, Y
% 2.65/3.06 ), para( X, Y, Z, T ), perp( X, Y, Z, T ) }.
% 2.65/3.06 parent1[0]: (14881) {G8,W9,D2,L1,V0,M1} R(14879,415) { eqangle( skol27,
% 2.65/3.06 skol27, skol27, skol34, skol27, skol34, skol27, skol27 ) }.
% 2.65/3.06 substitution0:
% 2.65/3.06 X := skol27
% 2.65/3.06 Y := skol27
% 2.65/3.06 Z := skol27
% 2.65/3.06 T := skol34
% 2.65/3.06 end
% 2.65/3.06 substitution1:
% 2.65/3.06 end
% 2.65/3.06
% 2.65/3.06 resolution: (19171) {G2,W10,D2,L2,V0,M2} { para( skol27, skol27, skol27,
% 2.65/3.06 skol34 ), para( skol27, skol27, skol27, skol34 ) }.
% 2.65/3.06 parent0[0]: (12652) {G16,W10,D2,L2,V2,M2} R(12623,286) { ! perp( skol27,
% 2.65/3.06 skol27, X, Y ), para( skol27, skol27, X, Y ) }.
% 2.65/3.06 parent1[1]: (19170) {G1,W10,D2,L2,V0,M2} { para( skol27, skol27, skol27,
% 2.65/3.06 skol34 ), perp( skol27, skol27, skol27, skol34 ) }.
% 2.65/3.06 substitution0:
% 2.65/3.06 X := skol27
% 2.65/3.06 Y := skol34
% 2.65/3.06 end
% 2.65/3.06 substitution1:
% 2.65/3.06 end
% 2.65/3.06
% 2.65/3.06 factor: (19172) {G2,W5,D2,L1,V0,M1} { para( skol27, skol27, skol27, skol34
% 2.65/3.06 ) }.
% 2.65/3.06 parent0[0, 1]: (19171) {G2,W10,D2,L2,V0,M2} { para( skol27, skol27, skol27
% 2.65/3.06 , skol34 ), para( skol27, skol27, skol27, skol34 ) }.
% 2.65/3.06 substitution0:
% 2.65/3.06 end
% 2.65/3.06
% 2.65/3.06 subsumption: (14882) {G17,W5,D2,L1,V0,M1} R(14881,71);r(12652) { para(
% 2.65/3.06 skol27, skol27, skol27, skol34 ) }.
% 2.65/3.06 parent0: (19172) {G2,W5,D2,L1,V0,M1} { para( skol27, skol27, skol27,
% 2.65/3.06 skol34 ) }.
% 2.65/3.06 substitution0:
% 2.65/3.06 end
% 2.65/3.06 permutation0:
% 2.65/3.06 0 ==> 0
% 2.65/3.06 end
% 2.65/3.06
% 2.65/3.06 resolution: (19173) {G2,W5,D2,L1,V0,M1} { para( skol27, skol34, skol27,
% 2.65/3.06 skol27 ) }.
% 2.65/3.06 parent0[0]: (228) {G1,W10,D2,L2,V4,M2} R(4,3) { ! para( X, Y, Z, T ), para
% 2.65/3.06 ( Z, T, Y, X ) }.
% 2.65/3.06 parent1[0]: (14882) {G17,W5,D2,L1,V0,M1} R(14881,71);r(12652) { para(
% 2.65/3.06 skol27, skol27, skol27, skol34 ) }.
% 2.65/3.06 substitution0:
% 2.65/3.06 X := skol27
% 2.65/3.06 Y := skol27
% 2.65/3.06 Z := skol27
% 2.65/3.06 T := skol34
% 2.65/3.06 end
% 2.65/3.06 substitution1:
% 2.65/3.06 end
% 2.65/3.06
% 2.65/3.06 subsumption: (14908) {G18,W5,D2,L1,V0,M1} R(14882,228) { para( skol27,
% 2.65/3.06 skol34, skol27, skol27 ) }.
% 2.65/3.06 parent0: (19173) {G2,W5,D2,L1,V0,M1} { para( skol27, skol34, skol27,
% 2.65/3.06 skol27 ) }.
% 2.65/3.06 substitution0:
% 2.65/3.06 end
% 2.65/3.06 permutation0:
% 2.65/3.06 0 ==> 0
% 2.65/3.06 end
% 2.65/3.06
% 2.65/3.06 resolution: (19174) {G1,W13,D2,L3,V1,M3} { ! midp( X, skol27, skol27 ), !
% 2.65/3.06 para( skol27, skol34, skol27, skol27 ), midp( X, skol27, skol34 ) }.
% 2.65/3.06 parent0[1]: (64) {G0,W18,D2,L4,V5,M4} I { ! midp( Z, T, U ), ! para( T, X,
% 2.65/3.06 U, Y ), ! para( T, Y, U, X ), midp( Z, X, Y ) }.
% 2.65/3.06 parent1[0]: (14882) {G17,W5,D2,L1,V0,M1} R(14881,71);r(12652) { para(
% 2.65/3.06 skol27, skol27, skol27, skol34 ) }.
% 2.65/3.06 substitution0:
% 2.65/3.06 X := skol27
% 2.65/3.06 Y := skol34
% 2.65/3.06 Z := X
% 2.65/3.06 T := skol27
% 2.65/3.06 U := skol27
% 2.65/3.06 end
% 2.65/3.06 substitution1:
% 2.65/3.06 end
% 2.65/3.06
% 2.65/3.06 resolution: (19176) {G2,W8,D2,L2,V1,M2} { ! midp( X, skol27, skol27 ),
% 2.65/3.06 midp( X, skol27, skol34 ) }.
% 2.65/3.06 parent0[1]: (19174) {G1,W13,D2,L3,V1,M3} { ! midp( X, skol27, skol27 ), !
% 2.65/3.06 para( skol27, skol34, skol27, skol27 ), midp( X, skol27, skol34 ) }.
% 2.65/3.06 parent1[0]: (14908) {G18,W5,D2,L1,V0,M1} R(14882,228) { para( skol27,
% 2.65/3.06 skol34, skol27, skol27 ) }.
% 2.65/3.06 substitution0:
% 2.65/3.06 X := X
% 2.65/3.06 end
% 2.65/3.06 substitution1:
% 2.65/3.06 end
% 2.65/3.06
% 2.65/3.06 subsumption: (14911) {G19,W8,D2,L2,V1,M2} R(14882,64);r(14908) { ! midp( X
% 2.65/3.06 , skol27, skol27 ), midp( X, skol27, skol34 ) }.
% 2.65/3.06 parent0: (19176) {G2,W8,D2,L2,V1,M2} { ! midp( X, skol27, skol27 ), midp(
% 2.65/3.06 X, skol27, skol34 ) }.
% 2.65/3.06 substitution0:
% 2.65/3.06 X := X
% 2.65/3.06 end
% 2.65/3.06 permutation0:
% 2.65/3.06 0 ==> 0
% 2.65/3.06 1 ==> 1
% 2.65/3.06 end
% 2.65/3.06
% 2.65/3.06 resolution: (19177) {G1,W5,D2,L1,V0,M1} { para( skol27, skol27, skol34,
% 2.65/3.06 skol27 ) }.
% 2.65/3.06 parent0[0]: (3) {G0,W10,D2,L2,V4,M2} I { ! para( X, Y, Z, T ), para( X, Y,
% 2.65/3.06 T, Z ) }.
% 2.65/3.06 parent1[0]: (14882) {G17,W5,D2,L1,V0,M1} R(14881,71);r(12652) { para(
% 2.65/3.06 skol27, skol27, skol27, skol34 ) }.
% 2.65/3.06 substitution0:
% 2.65/3.07 X := skol27
% 2.65/3.07 Y := skol27
% 2.65/3.07 Z := skol27
% 2.65/3.07 T := skol34
% 2.65/3.07 end
% 2.65/3.07 substitution1:
% 2.65/3.07 end
% 2.65/3.07
% 2.65/3.07 subsumption: (14917) {G18,W5,D2,L1,V0,M1} R(14882,3) { para( skol27, skol27
% 2.65/3.07 , skol34, skol27 ) }.
% 2.65/3.07 parent0: (19177) {G1,W5,D2,L1,V0,M1} { para( skol27, skol27, skol34,
% 2.65/3.07 skol27 ) }.
% 2.65/3.07 substitution0:
% 2.65/3.07 end
% 2.65/3.07 permutation0:
% 2.65/3.07 0 ==> 0
% 2.65/3.07 end
% 2.65/3.07
% 2.65/3.07 resolution: (19178) {G1,W13,D2,L3,V1,M3} { ! midp( X, skol27, skol34 ), !
% 2.65/3.07 para( skol27, skol27, skol34, skol27 ), midp( X, skol27, skol27 ) }.
% 2.65/3.07 parent0[1]: (64) {G0,W18,D2,L4,V5,M4} I { ! midp( Z, T, U ), ! para( T, X,
% 2.65/3.07 U, Y ), ! para( T, Y, U, X ), midp( Z, X, Y ) }.
% 2.65/3.07 parent1[0]: (14917) {G18,W5,D2,L1,V0,M1} R(14882,3) { para( skol27, skol27
% 2.65/3.07 , skol34, skol27 ) }.
% 2.65/3.07 substitution0:
% 2.65/3.07 X := skol27
% 2.65/3.07 Y := skol27
% 2.65/3.07 Z := X
% 2.65/3.07 T := skol27
% 2.65/3.07 U := skol34
% 2.65/3.07 end
% 2.65/3.07 substitution1:
% 2.65/3.07 end
% 2.65/3.07
% 2.65/3.07 resolution: (19179) {G2,W8,D2,L2,V1,M2} { ! midp( X, skol27, skol34 ),
% 2.65/3.07 midp( X, skol27, skol27 ) }.
% 2.65/3.07 parent0[1]: (19178) {G1,W13,D2,L3,V1,M3} { ! midp( X, skol27, skol34 ), !
% 2.65/3.07 para( skol27, skol27, skol34, skol27 ), midp( X, skol27, skol27 ) }.
% 2.65/3.07 parent1[0]: (14917) {G18,W5,D2,L1,V0,M1} R(14882,3) { para( skol27, skol27
% 2.65/3.07 , skol34, skol27 ) }.
% 2.65/3.07 substitution0:
% 2.65/3.07 X := X
% 2.65/3.07 end
% 2.65/3.07 substitution1:
% 2.65/3.07 end
% 2.65/3.07
% 2.65/3.07 subsumption: (14969) {G19,W8,D2,L2,V1,M2} R(14917,64);r(14917) { ! midp( X
% 2.65/3.07 , skol27, skol34 ), midp( X, skol27, skol27 ) }.
% 2.65/3.07 parent0: (19179) {G2,W8,D2,L2,V1,M2} { ! midp( X, skol27, skol34 ), midp(
% 2.65/3.07 X, skol27, skol27 ) }.
% 2.65/3.07 substitution0:
% 2.65/3.07 X := X
% 2.65/3.07 end
% 2.65/3.07 permutation0:
% 2.65/3.07 0 ==> 0
% 2.65/3.07 1 ==> 1
% 2.65/3.07 end
% 2.65/3.07
% 2.65/3.07 resolution: (19180) {G1,W9,D2,L1,V2,M1} { eqangle( skol27, skol27, X, Y,
% 2.65/3.07 skol34, skol27, X, Y ) }.
% 2.65/3.07 parent0[0]: (39) {G0,W14,D2,L2,V6,M2} I { ! para( X, Y, Z, T ), eqangle( X
% 2.65/3.07 , Y, U, W, Z, T, U, W ) }.
% 2.65/3.07 parent1[0]: (14917) {G18,W5,D2,L1,V0,M1} R(14882,3) { para( skol27, skol27
% 2.65/3.07 , skol34, skol27 ) }.
% 2.65/3.07 substitution0:
% 2.65/3.07 X := skol27
% 2.65/3.07 Y := skol27
% 2.65/3.07 Z := skol34
% 2.65/3.07 T := skol27
% 2.65/3.07 U := X
% 2.65/3.07 W := Y
% 2.65/3.07 end
% 2.65/3.07 substitution1:
% 2.65/3.07 end
% 2.65/3.07
% 2.65/3.07 subsumption: (14971) {G19,W9,D2,L1,V2,M1} R(14917,39) { eqangle( skol27,
% 2.65/3.07 skol27, X, Y, skol34, skol27, X, Y ) }.
% 2.65/3.07 parent0: (19180) {G1,W9,D2,L1,V2,M1} { eqangle( skol27, skol27, X, Y,
% 2.65/3.07 skol34, skol27, X, Y ) }.
% 2.65/3.07 substitution0:
% 2.65/3.07 X := X
% 2.65/3.07 Y := Y
% 2.65/3.07 end
% 2.65/3.07 permutation0:
% 2.65/3.07 0 ==> 0
% 2.65/3.07 end
% 2.65/3.07
% 2.65/3.07 resolution: (19181) {G20,W8,D2,L2,V2,M2} { midp( X, Y, Y ), ! midp( X,
% 2.65/3.07 skol27, skol34 ) }.
% 2.65/3.07 parent0[0]: (12206) {G19,W8,D2,L2,V3,M2} R(12202,143) { ! midp( X, Y, Y ),
% 2.65/3.07 midp( X, Z, Z ) }.
% 2.65/3.07 parent1[1]: (14969) {G19,W8,D2,L2,V1,M2} R(14917,64);r(14917) { ! midp( X,
% 2.65/3.07 skol27, skol34 ), midp( X, skol27, skol27 ) }.
% 2.65/3.07 substitution0:
% 2.65/3.07 X := X
% 2.65/3.07 Y := skol27
% 2.65/3.07 Z := Y
% 2.65/3.07 end
% 2.65/3.07 substitution1:
% 2.65/3.07 X := X
% 2.65/3.07 end
% 2.65/3.07
% 2.65/3.07 subsumption: (14972) {G20,W8,D2,L2,V2,M2} R(14969,12206) { ! midp( X,
% 2.65/3.07 skol27, skol34 ), midp( X, Y, Y ) }.
% 2.65/3.07 parent0: (19181) {G20,W8,D2,L2,V2,M2} { midp( X, Y, Y ), ! midp( X, skol27
% 2.65/3.07 , skol34 ) }.
% 2.65/3.07 substitution0:
% 2.65/3.07 X := X
% 2.65/3.07 Y := Y
% 2.65/3.07 end
% 2.65/3.07 permutation0:
% 2.65/3.07 0 ==> 1
% 2.65/3.07 1 ==> 0
% 2.65/3.07 end
% 2.65/3.07
% 2.65/3.07 resolution: (19182) {G1,W8,D2,L2,V2,M2} { midp( X, Y, Y ), ! midp( X,
% 2.65/3.07 skol34, skol27 ) }.
% 2.65/3.07 parent0[0]: (14972) {G20,W8,D2,L2,V2,M2} R(14969,12206) { ! midp( X, skol27
% 2.65/3.07 , skol34 ), midp( X, Y, Y ) }.
% 2.65/3.07 parent1[1]: (10) {G0,W8,D2,L2,V3,M2} I { ! midp( Z, Y, X ), midp( Z, X, Y )
% 2.65/3.07 }.
% 2.65/3.07 substitution0:
% 2.65/3.07 X := X
% 2.65/3.07 Y := Y
% 2.65/3.07 end
% 2.65/3.07 substitution1:
% 2.65/3.07 X := skol27
% 2.65/3.07 Y := skol34
% 2.65/3.07 Z := X
% 2.65/3.07 end
% 2.65/3.07
% 2.65/3.07 subsumption: (15018) {G21,W8,D2,L2,V2,M2} R(14972,10) { midp( X, Y, Y ), !
% 2.65/3.07 midp( X, skol34, skol27 ) }.
% 2.65/3.07 parent0: (19182) {G1,W8,D2,L2,V2,M2} { midp( X, Y, Y ), ! midp( X, skol34
% 2.65/3.07 , skol27 ) }.
% 2.65/3.07 substitution0:
% 2.65/3.07 X := X
% 2.65/3.07 Y := Y
% 2.65/3.07 end
% 2.65/3.07 permutation0:
% 2.65/3.07 0 ==> 0
% 2.65/3.07 1 ==> 1
% 2.65/3.07 end
% 2.65/3.07
% 2.65/3.07 resolution: (19183) {G20,W6,D3,L1,V0,M1} { midp( skol7( skol23, skol23 ),
% 2.65/3.07 skol27, skol34 ) }.
% 2.65/3.07 parent0[0]: (14911) {G19,W8,D2,L2,V1,M2} R(14882,64);r(14908) { ! midp( X,
% 2.65/3.07 skol27, skol27 ), midp( X, skol27, skol34 ) }.
% 2.65/3.07 parent1[0]: (12209) {G20,W6,D3,L1,V1,M1} R(12206,10250) { midp( skol7(
% 2.65/3.07 skol23, skol23 ), X, X ) }.
% 2.65/3.07 substitution0:
% 2.65/3.07 X := skol7( skol23, skol23 )
% 2.65/3.07 end
% 2.65/3.07 substitution1:
% 2.65/3.07 X := skol27
% 2.65/3.07 end
% 2.65/3.07
% 2.65/3.07 subsumption: (15037) {G21,W6,D3,L1,V0,M1} R(14911,12209) { midp( skol7(
% 2.65/3.07 skol23, skol23 ), skol27, skol34 ) }.
% 2.65/3.07 parent0: (19183) {G20,W6,D3,L1,V0,M1} { midp( skol7( skol23, skol23 ),
% 2.65/3.07 skol27, skol34 ) }.
% 2.65/3.07 substitution0:
% 2.65/3.07 end
% 2.65/3.07 permutation0:
% 2.65/3.07 0 ==> 0
% 2.65/3.07 end
% 2.65/3.07
% 2.65/3.07 resolution: (19184) {G1,W6,D3,L1,V0,M1} { midp( skol7( skol23, skol23 ),
% 2.65/3.07 skol34, skol27 ) }.
% 2.65/3.07 parent0[0]: (10) {G0,W8,D2,L2,V3,M2} I { ! midp( Z, Y, X ), midp( Z, X, Y )
% 2.65/3.07 }.
% 2.65/3.07 parent1[0]: (15037) {G21,W6,D3,L1,V0,M1} R(14911,12209) { midp( skol7(
% 2.65/3.07 skol23, skol23 ), skol27, skol34 ) }.
% 2.65/3.07 substitution0:
% 2.65/3.07 X := skol34
% 2.65/3.07 Y := skol27
% 2.65/3.07 Z := skol7( skol23, skol23 )
% 2.65/3.07 end
% 2.65/3.07 substitution1:
% 2.65/3.07 end
% 2.65/3.07
% 2.65/3.07 subsumption: (15078) {G22,W6,D3,L1,V0,M1} R(15037,10) { midp( skol7( skol23
% 2.65/3.07 , skol23 ), skol34, skol27 ) }.
% 2.65/3.07 parent0: (19184) {G1,W6,D3,L1,V0,M1} { midp( skol7( skol23, skol23 ),
% 2.65/3.07 skol34, skol27 ) }.
% 2.65/3.07 substitution0:
% 2.65/3.07 end
% 2.65/3.07 permutation0:
% 2.65/3.07 0 ==> 0
% 2.65/3.07 end
% 2.65/3.07
% 2.65/3.07 resolution: (19185) {G2,W9,D2,L1,V2,M1} { eqangle( skol27, skol27, skol34
% 2.65/3.07 , skol27, X, Y, X, Y ) }.
% 2.65/3.07 parent0[1]: (428) {G1,W18,D2,L2,V8,M2} R(20,17) { eqangle( X, Y, Z, T, U, W
% 2.65/3.07 , V0, V1 ), ! eqangle( Y, X, U, W, Z, T, V0, V1 ) }.
% 2.65/3.07 parent1[0]: (14971) {G19,W9,D2,L1,V2,M1} R(14917,39) { eqangle( skol27,
% 2.65/3.07 skol27, X, Y, skol34, skol27, X, Y ) }.
% 2.65/3.07 substitution0:
% 2.65/3.07 X := skol27
% 2.65/3.07 Y := skol27
% 2.65/3.07 Z := skol34
% 2.65/3.07 T := skol27
% 2.65/3.07 U := X
% 2.65/3.07 W := Y
% 2.65/3.07 V0 := X
% 2.65/3.07 V1 := Y
% 2.65/3.07 end
% 2.65/3.07 substitution1:
% 2.65/3.07 X := X
% 2.65/3.07 Y := Y
% 2.65/3.07 end
% 2.65/3.07
% 2.65/3.07 subsumption: (15113) {G20,W9,D2,L1,V2,M1} R(14971,428) { eqangle( skol27,
% 2.65/3.07 skol27, skol34, skol27, X, Y, X, Y ) }.
% 2.65/3.07 parent0: (19185) {G2,W9,D2,L1,V2,M1} { eqangle( skol27, skol27, skol34,
% 2.65/3.07 skol27, X, Y, X, Y ) }.
% 2.65/3.07 substitution0:
% 2.65/3.07 X := X
% 2.65/3.07 Y := Y
% 2.65/3.07 end
% 2.65/3.07 permutation0:
% 2.65/3.07 0 ==> 0
% 2.65/3.07 end
% 2.65/3.07
% 2.65/3.07 resolution: (19186) {G2,W9,D2,L1,V2,M1} { eqangle( Y, X, X, Y, skol27,
% 2.65/3.07 skol27, skol34, skol27 ) }.
% 2.65/3.07 parent0[0]: (416) {G1,W18,D2,L2,V8,M2} R(19,17) { ! eqangle( X, Y, Z, T, U
% 2.65/3.07 , W, V0, V1 ), eqangle( W, U, V0, V1, X, Y, Z, T ) }.
% 2.65/3.07 parent1[0]: (15113) {G20,W9,D2,L1,V2,M1} R(14971,428) { eqangle( skol27,
% 2.65/3.07 skol27, skol34, skol27, X, Y, X, Y ) }.
% 2.65/3.07 substitution0:
% 2.65/3.07 X := skol27
% 2.65/3.07 Y := skol27
% 2.65/3.07 Z := skol34
% 2.65/3.07 T := skol27
% 2.65/3.07 U := X
% 2.65/3.07 W := Y
% 2.65/3.07 V0 := X
% 2.65/3.07 V1 := Y
% 2.65/3.07 end
% 2.65/3.07 substitution1:
% 2.65/3.07 X := X
% 2.65/3.07 Y := Y
% 2.65/3.07 end
% 2.65/3.07
% 2.65/3.07 subsumption: (15119) {G21,W9,D2,L1,V2,M1} R(15113,416) { eqangle( X, Y, Y,
% 2.65/3.07 X, skol27, skol27, skol34, skol27 ) }.
% 2.65/3.07 parent0: (19186) {G2,W9,D2,L1,V2,M1} { eqangle( Y, X, X, Y, skol27, skol27
% 2.65/3.07 , skol34, skol27 ) }.
% 2.65/3.07 substitution0:
% 2.65/3.07 X := Y
% 2.65/3.07 Y := X
% 2.65/3.07 end
% 2.65/3.07 permutation0:
% 2.65/3.07 0 ==> 0
% 2.65/3.07 end
% 2.65/3.07
% 2.65/3.07 resolution: (19187) {G1,W10,D2,L2,V2,M2} { ! perp( skol27, skol27, skol34
% 2.65/3.07 , skol27 ), perp( X, Y, Y, X ) }.
% 2.65/3.07 parent0[0]: (73) {G0,W19,D2,L3,V8,M3} I { ! eqangle( X, Y, Z, T, U, W, V0,
% 2.65/3.07 V1 ), ! perp( U, W, V0, V1 ), perp( X, Y, Z, T ) }.
% 2.65/3.07 parent1[0]: (15119) {G21,W9,D2,L1,V2,M1} R(15113,416) { eqangle( X, Y, Y, X
% 2.65/3.07 , skol27, skol27, skol34, skol27 ) }.
% 2.65/3.07 substitution0:
% 2.65/3.07 X := X
% 2.65/3.07 Y := Y
% 2.65/3.07 Z := Y
% 2.65/3.07 T := X
% 2.65/3.07 U := skol27
% 2.65/3.07 W := skol27
% 2.65/3.07 V0 := skol34
% 2.65/3.07 V1 := skol27
% 2.65/3.07 end
% 2.65/3.07 substitution1:
% 2.65/3.07 X := X
% 2.65/3.07 Y := Y
% 2.65/3.07 end
% 2.65/3.07
% 2.65/3.07 resolution: (19188) {G2,W5,D2,L1,V2,M1} { perp( X, Y, Y, X ) }.
% 2.65/3.07 parent0[0]: (19187) {G1,W10,D2,L2,V2,M2} { ! perp( skol27, skol27, skol34
% 2.65/3.07 , skol27 ), perp( X, Y, Y, X ) }.
% 2.65/3.07 parent1[0]: (14520) {G18,W5,D2,L1,V0,M1} R(14493,274) { perp( skol27,
% 2.65/3.07 skol27, skol34, skol27 ) }.
% 2.65/3.07 substitution0:
% 2.65/3.07 X := X
% 2.65/3.07 Y := Y
% 2.65/3.07 end
% 2.65/3.07 substitution1:
% 2.65/3.07 end
% 2.65/3.07
% 2.65/3.07 subsumption: (15126) {G22,W5,D2,L1,V2,M1} R(15119,73);r(14520) { perp( X, Y
% 2.65/3.07 , Y, X ) }.
% 2.65/3.07 parent0: (19188) {G2,W5,D2,L1,V2,M1} { perp( X, Y, Y, X ) }.
% 2.65/3.07 substitution0:
% 2.65/3.07 X := X
% 2.65/3.07 Y := Y
% 2.65/3.07 end
% 2.65/3.07 permutation0:
% 2.65/3.07 0 ==> 0
% 2.65/3.07 end
% 2.65/3.07
% 2.65/3.07 resolution: (19189) {G1,W9,D2,L2,V3,M2} { ! midp( Z, X, X ), cong( X, Z, Y
% 2.65/3.07 , Z ) }.
% 2.65/3.07 parent0[0]: (52) {G0,W14,D2,L3,V4,M3} I { ! perp( X, Y, Y, T ), ! midp( Z,
% 2.65/3.07 X, T ), cong( X, Z, Y, Z ) }.
% 2.65/3.07 parent1[0]: (15126) {G22,W5,D2,L1,V2,M1} R(15119,73);r(14520) { perp( X, Y
% 2.65/3.07 , Y, X ) }.
% 2.65/3.07 substitution0:
% 2.65/3.07 X := X
% 2.65/3.07 Y := Y
% 2.65/3.07 Z := Z
% 2.65/3.07 T := X
% 2.65/3.07 end
% 2.65/3.07 substitution1:
% 2.65/3.07 X := X
% 2.65/3.07 Y := Y
% 2.65/3.07 end
% 2.65/3.07
% 2.65/3.07 subsumption: (15163) {G23,W9,D2,L2,V3,M2} R(15126,52) { ! midp( X, Y, Y ),
% 2.65/3.07 cong( Y, X, Z, X ) }.
% 2.65/3.07 parent0: (19189) {G1,W9,D2,L2,V3,M2} { ! midp( Z, X, X ), cong( X, Z, Y, Z
% 2.65/3.07 ) }.
% 2.65/3.07 substitution0:
% 2.65/3.07 X := Y
% 2.65/3.07 Y := Z
% 2.65/3.07 Z := X
% 2.65/3.07 end
% 2.65/3.07 permutation0:
% 2.65/3.07 0 ==> 0
% 2.65/3.07 1 ==> 1
% 2.65/3.07 end
% 2.65/3.07
% 2.65/3.07 resolution: (19190) {G20,W9,D2,L2,V4,M2} { cong( Y, X, Z, X ), ! midp( X,
% 2.65/3.07 T, T ) }.
% 2.65/3.07 parent0[0]: (15163) {G23,W9,D2,L2,V3,M2} R(15126,52) { ! midp( X, Y, Y ),
% 2.65/3.07 cong( Y, X, Z, X ) }.
% 2.65/3.07 parent1[1]: (12206) {G19,W8,D2,L2,V3,M2} R(12202,143) { ! midp( X, Y, Y ),
% 2.65/3.07 midp( X, Z, Z ) }.
% 2.65/3.07 substitution0:
% 2.65/3.07 X := X
% 2.65/3.07 Y := Y
% 2.65/3.07 Z := Z
% 2.65/3.07 end
% 2.65/3.07 substitution1:
% 2.65/3.07 X := X
% 2.65/3.07 Y := T
% 2.65/3.07 Z := Y
% 2.65/3.07 end
% 2.65/3.07
% 2.65/3.07 subsumption: (17868) {G24,W9,D2,L2,V4,M2} R(15163,12206) { cong( X, Y, Z, Y
% 2.65/3.07 ), ! midp( Y, T, T ) }.
% 2.65/3.07 parent0: (19190) {G20,W9,D2,L2,V4,M2} { cong( Y, X, Z, X ), ! midp( X, T,
% 2.65/3.07 T ) }.
% 2.65/3.07 substitution0:
% 2.65/3.07 X := Y
% 2.65/3.07 Y := X
% 2.65/3.07 Z := Z
% 2.65/3.07 T := T
% 2.65/3.07 end
% 2.65/3.07 permutation0:
% 2.65/3.07 0 ==> 0
% 2.65/3.07 1 ==> 1
% 2.65/3.07 end
% 2.65/3.07
% 2.65/3.07 resolution: (19191) {G2,W9,D2,L2,V4,M2} { perp( X, Z, Y, Y ), ! midp( Y, T
% 2.65/3.07 , T ) }.
% 2.65/3.07 parent0[0]: (139) {G1,W10,D2,L2,V3,M2} F(56) { ! cong( X, Y, Z, Y ), perp(
% 2.65/3.07 X, Z, Y, Y ) }.
% 2.65/3.07 parent1[0]: (17868) {G24,W9,D2,L2,V4,M2} R(15163,12206) { cong( X, Y, Z, Y
% 2.65/3.07 ), ! midp( Y, T, T ) }.
% 2.65/3.07 substitution0:
% 2.65/3.07 X := X
% 2.65/3.07 Y := Y
% 2.65/3.07 Z := Z
% 2.65/3.07 end
% 2.65/3.07 substitution1:
% 2.65/3.07 X := X
% 2.65/3.07 Y := Y
% 2.65/3.07 Z := Z
% 2.65/3.07 T := T
% 2.65/3.07 end
% 2.65/3.07
% 2.65/3.07 subsumption: (17906) {G25,W9,D2,L2,V4,M2} R(17868,139) { ! midp( X, Y, Y )
% 2.65/3.07 , perp( Z, T, X, X ) }.
% 2.65/3.07 parent0: (19191) {G2,W9,D2,L2,V4,M2} { perp( X, Z, Y, Y ), ! midp( Y, T, T
% 2.65/3.07 ) }.
% 2.65/3.07 substitution0:
% 2.65/3.07 X := Z
% 2.65/3.07 Y := X
% 2.65/3.07 Z := T
% 2.65/3.07 T := Y
% 2.65/3.07 end
% 2.65/3.07 permutation0:
% 2.65/3.07 0 ==> 1
% 2.65/3.07 1 ==> 0
% 2.65/3.07 end
% 2.65/3.07
% 2.65/3.07 resolution: (19192) {G22,W9,D2,L2,V3,M2} { perp( Z, T, X, X ), ! midp( X,
% 2.65/3.07 skol34, skol27 ) }.
% 2.65/3.07 parent0[0]: (17906) {G25,W9,D2,L2,V4,M2} R(17868,139) { ! midp( X, Y, Y ),
% 2.65/3.07 perp( Z, T, X, X ) }.
% 2.65/3.07 parent1[0]: (15018) {G21,W8,D2,L2,V2,M2} R(14972,10) { midp( X, Y, Y ), !
% 2.65/3.07 midp( X, skol34, skol27 ) }.
% 2.65/3.07 substitution0:
% 2.65/3.07 X := X
% 2.65/3.07 Y := Y
% 2.65/3.07 Z := Z
% 2.65/3.07 T := T
% 2.65/3.07 end
% 2.65/3.07 substitution1:
% 2.65/3.07 X := X
% 2.65/3.07 Y := Y
% 2.65/3.07 end
% 2.65/3.07
% 2.65/3.07 subsumption: (17979) {G26,W9,D2,L2,V3,M2} R(17906,15018) { perp( X, Y, Z, Z
% 2.65/3.07 ), ! midp( Z, skol34, skol27 ) }.
% 2.65/3.07 parent0: (19192) {G22,W9,D2,L2,V3,M2} { perp( Z, T, X, X ), ! midp( X,
% 2.65/3.07 skol34, skol27 ) }.
% 2.65/3.07 substitution0:
% 2.65/3.07 X := Z
% 2.65/3.07 Y := T
% 2.65/3.07 Z := X
% 2.65/3.07 T := Y
% 2.65/3.07 end
% 2.65/3.07 permutation0:
% 2.65/3.07 0 ==> 0
% 2.65/3.07 1 ==> 1
% 2.65/3.07 end
% 2.65/3.07
% 2.65/3.07 resolution: (19193) {G2,W9,D2,L2,V4,M2} { perp( Z, Z, Y, X ), ! midp( Z, T
% 2.65/3.07 , T ) }.
% 2.65/3.07 parent0[0]: (275) {G1,W10,D2,L2,V4,M2} R(7,6) { ! perp( X, Y, Z, T ), perp
% 2.65/3.07 ( Z, T, Y, X ) }.
% 2.65/3.07 parent1[1]: (17906) {G25,W9,D2,L2,V4,M2} R(17868,139) { ! midp( X, Y, Y ),
% 2.65/3.07 perp( Z, T, X, X ) }.
% 2.65/3.07 substitution0:
% 2.65/3.07 X := X
% 2.65/3.07 Y := Y
% 2.65/3.07 Z := Z
% 2.65/3.07 T := Z
% 2.65/3.07 end
% 2.65/3.07 substitution1:
% 2.65/3.07 X := Z
% 2.65/3.07 Y := T
% 2.65/3.07 Z := X
% 2.65/3.07 T := Y
% 2.65/3.07 end
% 2.65/3.07
% 2.65/3.07 subsumption: (17995) {G26,W9,D2,L2,V4,M2} R(17906,275) { ! midp( X, Y, Y )
% 2.65/3.07 , perp( X, X, Z, T ) }.
% 2.65/3.07 parent0: (19193) {G2,W9,D2,L2,V4,M2} { perp( Z, Z, Y, X ), ! midp( Z, T, T
% 2.65/3.07 ) }.
% 2.65/3.07 substitution0:
% 2.65/3.07 X := T
% 2.65/3.07 Y := Z
% 2.65/3.07 Z := X
% 2.65/3.07 T := Y
% 2.65/3.07 end
% 2.65/3.07 permutation0:
% 2.65/3.07 0 ==> 1
% 2.65/3.07 1 ==> 0
% 2.65/3.07 end
% 2.65/3.07
% 2.65/3.07 resolution: (19194) {G22,W9,D2,L2,V3,M2} { perp( X, X, Z, T ), ! midp( X,
% 2.65/3.07 skol34, skol27 ) }.
% 2.65/3.07 parent0[0]: (17995) {G26,W9,D2,L2,V4,M2} R(17906,275) { ! midp( X, Y, Y ),
% 2.65/3.07 perp( X, X, Z, T ) }.
% 2.65/3.07 parent1[0]: (15018) {G21,W8,D2,L2,V2,M2} R(14972,10) { midp( X, Y, Y ), !
% 2.65/3.07 midp( X, skol34, skol27 ) }.
% 2.65/3.07 substitution0:
% 2.65/3.07 X := X
% 2.65/3.07 Y := Y
% 2.65/3.07 Z := Z
% 2.65/3.07 T := T
% 2.65/3.07 end
% 2.65/3.07 substitution1:
% 2.65/3.07 X := X
% 2.65/3.07 Y := Y
% 2.65/3.07 end
% 2.65/3.07
% 2.65/3.07 subsumption: (17998) {G27,W9,D2,L2,V3,M2} R(17995,15018) { perp( X, X, Y, Z
% 2.65/3.07 ), ! midp( X, skol34, skol27 ) }.
% 2.65/3.07 parent0: (19194) {G22,W9,D2,L2,V3,M2} { perp( X, X, Z, T ), ! midp( X,
% 2.65/3.07 skol34, skol27 ) }.
% 2.65/3.07 substitution0:
% 2.65/3.07 X := X
% 2.65/3.07 Y := T
% 2.65/3.07 Z := Y
% 2.65/3.07 T := Z
% 2.65/3.07 end
% 2.65/3.07 permutation0:
% 2.65/3.07 0 ==> 0
% 2.65/3.07 1 ==> 1
% 2.65/3.07 end
% 2.65/3.07
% 2.65/3.07 resolution: (19196) {G2,W14,D2,L3,V5,M3} { ! perp( X, Y, Z, Z ), para( T,
% 2.65/3.07 U, X, Y ), ! midp( Z, skol34, skol27 ) }.
% 2.65/3.07 parent0[1]: (290) {G1,W15,D2,L3,V6,M3} R(8,4) { ! perp( X, Y, Z, T ), !
% 2.65/3.07 perp( Z, T, U, W ), para( U, W, X, Y ) }.
% 2.65/3.07 parent1[0]: (17998) {G27,W9,D2,L2,V3,M2} R(17995,15018) { perp( X, X, Y, Z
% 2.65/3.07 ), ! midp( X, skol34, skol27 ) }.
% 2.65/3.07 substitution0:
% 2.65/3.07 X := X
% 2.65/3.07 Y := Y
% 2.65/3.07 Z := Z
% 2.65/3.07 T := Z
% 2.65/3.07 U := T
% 2.65/3.07 W := U
% 2.65/3.07 end
% 2.65/3.07 substitution1:
% 2.65/3.07 X := Z
% 2.65/3.07 Y := T
% 2.65/3.07 Z := U
% 2.65/3.07 end
% 2.65/3.07
% 2.65/3.07 resolution: (19197) {G3,W13,D2,L3,V5,M3} { para( T, U, X, Y ), ! midp( Z,
% 2.65/3.07 skol34, skol27 ), ! midp( Z, skol34, skol27 ) }.
% 2.65/3.07 parent0[0]: (19196) {G2,W14,D2,L3,V5,M3} { ! perp( X, Y, Z, Z ), para( T,
% 2.65/3.07 U, X, Y ), ! midp( Z, skol34, skol27 ) }.
% 2.65/3.07 parent1[0]: (17979) {G26,W9,D2,L2,V3,M2} R(17906,15018) { perp( X, Y, Z, Z
% 2.65/3.07 ), ! midp( Z, skol34, skol27 ) }.
% 2.65/3.07 substitution0:
% 2.65/3.07 X := X
% 2.65/3.07 Y := Y
% 2.65/3.07 Z := Z
% 2.65/3.07 T := T
% 2.65/3.07 U := U
% 2.65/3.07 end
% 2.65/3.07 substitution1:
% 2.65/3.07 X := X
% 2.65/3.07 Y := Y
% 2.65/3.07 Z := Z
% 2.65/3.07 end
% 2.65/3.07
% 2.65/3.07 factor: (19198) {G3,W9,D2,L2,V5,M2} { para( X, Y, Z, T ), ! midp( U,
% 2.65/3.07 skol34, skol27 ) }.
% 2.65/3.07 parent0[1, 2]: (19197) {G3,W13,D2,L3,V5,M3} { para( T, U, X, Y ), ! midp(
% 2.65/3.07 Z, skol34, skol27 ), ! midp( Z, skol34, skol27 ) }.
% 2.65/3.07 substitution0:
% 2.65/3.07 X := Z
% 2.65/3.07 Y := T
% 2.65/3.07 Z := U
% 2.65/3.07 T := X
% 2.65/3.07 U := Y
% 2.65/3.07 end
% 2.65/3.07
% 2.65/3.07 subsumption: (18014) {G28,W9,D2,L2,V5,M2} R(17998,290);r(17979) { ! midp( X
% 2.65/3.07 , skol34, skol27 ), para( T, U, Y, Z ) }.
% 2.65/3.07 parent0: (19198) {G3,W9,D2,L2,V5,M2} { para( X, Y, Z, T ), ! midp( U,
% 2.65/3.07 skol34, skol27 ) }.
% 2.65/3.07 substitution0:
% 2.65/3.07 X := T
% 2.65/3.07 Y := U
% 2.65/3.07 Z := Y
% 2.65/3.07 T := Z
% 2.65/3.07 U := X
% 2.65/3.07 end
% 2.65/3.07 permutation0:
% 2.65/3.07 0 ==> 1
% 2.65/3.07 1 ==> 0
% 2.65/3.07 end
% 2.65/3.07
% 2.65/3.07 resolution: (19199) {G23,W5,D2,L1,V4,M1} { para( X, Y, Z, T ) }.
% 2.65/3.07 parent0[0]: (18014) {G28,W9,D2,L2,V5,M2} R(17998,290);r(17979) { ! midp( X
% 2.65/3.07 , skol34, skol27 ), para( T, U, Y, Z ) }.
% 2.65/3.07 parent1[0]: (15078) {G22,W6,D3,L1,V0,M1} R(15037,10) { midp( skol7( skol23
% 2.65/3.07 , skol23 ), skol34, skol27 ) }.
% 2.65/3.07 substitution0:
% 2.65/3.07 X := skol7( skol23, skol23 )
% 2.65/3.07 Y := Z
% 2.65/3.07 Z := T
% 2.65/3.07 T := X
% 2.65/3.07 U := Y
% 2.65/3.07 end
% 2.65/3.07 substitution1:
% 2.65/3.07 end
% 2.65/3.07
% 2.65/3.07 subsumption: (18020) {G29,W5,D2,L1,V4,M1} R(18014,15078) { para( X, Y, Z, T
% 2.65/3.07 ) }.
% 2.65/3.07 parent0: (19199) {G23,W5,D2,L1,V4,M1} { para( X, Y, Z, T ) }.
% 2.65/3.07 substitution0:
% 2.65/3.07 X := X
% 2.65/3.07 Y := Y
% 2.65/3.07 Z := Z
% 2.65/3.07 T := T
% 2.65/3.07 end
% 2.65/3.07 permutation0:
% 2.65/3.07 0 ==> 0
% 2.65/3.07 end
% 2.65/3.07
% 2.65/3.07 resolution: (19200) {G2,W9,D2,L1,V6,M1} { eqangle( X, Y, Z, T, U, W, Z, T
% 2.65/3.07 ) }.
% 2.65/3.07 parent0[1]: (695) {G1,W14,D2,L2,V6,M2} R(39,3) { eqangle( X, Y, Z, T, U, W
% 2.65/3.07 , Z, T ), ! para( X, Y, W, U ) }.
% 2.65/3.07 parent1[0]: (18020) {G29,W5,D2,L1,V4,M1} R(18014,15078) { para( X, Y, Z, T
% 2.65/3.07 ) }.
% 2.65/3.07 substitution0:
% 2.65/3.07 X := X
% 2.65/3.07 Y := Y
% 2.65/3.07 Z := Z
% 2.65/3.07 T := T
% 2.65/3.07 U := U
% 2.65/3.07 W := W
% 2.65/3.07 end
% 2.65/3.07 substitution1:
% 2.65/3.07 X := X
% 2.65/3.07 Y := Y
% 2.65/3.07 Z := W
% 2.65/3.07 T := U
% 2.65/3.07 end
% 2.65/3.07
% 2.65/3.07 subsumption: (18026) {G30,W9,D2,L1,V6,M1} R(18020,695) { eqangle( X, Y, Z,
% 2.65/3.07 T, U, W, Z, T ) }.
% 2.65/3.07 parent0: (19200) {G2,W9,D2,L1,V6,M1} { eqangle( X, Y, Z, T, U, W, Z, T )
% 2.65/3.07 }.
% 2.65/3.07 substitution0:
% 2.65/3.07 X := X
% 2.65/3.07 Y := Y
% 2.65/3.07 Z := Z
% 2.65/3.07 T := T
% 2.65/3.07 U := U
% 2.65/3.07 W := W
% 2.65/3.07 end
% 2.65/3.07 permutation0:
% 2.65/3.07 0 ==> 0
% 2.65/3.07 end
% 2.65/3.07
% 2.65/3.07 resolution: (19201) {G2,W9,D2,L1,V6,M1} { eqangle( Z, T, Z, T, X, Y, U, W
% 2.65/3.07 ) }.
% 2.65/3.07 parent0[0]: (427) {G1,W18,D2,L2,V8,M2} R(20,19) { ! eqangle( X, Y, Z, T, U
% 2.65/3.07 , W, V0, V1 ), eqangle( Z, T, V0, V1, X, Y, U, W ) }.
% 2.65/3.07 parent1[0]: (18026) {G30,W9,D2,L1,V6,M1} R(18020,695) { eqangle( X, Y, Z, T
% 2.65/3.07 , U, W, Z, T ) }.
% 2.65/3.07 substitution0:
% 2.65/3.07 X := X
% 2.65/3.07 Y := Y
% 2.65/3.07 Z := Z
% 2.65/3.07 T := T
% 2.65/3.07 U := U
% 2.65/3.07 W := W
% 2.65/3.07 V0 := Z
% 2.65/3.07 V1 := T
% 2.65/3.07 end
% 2.65/3.07 substitution1:
% 2.65/3.07 X := X
% 2.65/3.07 Y := Y
% 2.65/3.07 Z := Z
% 2.65/3.07 T := T
% 2.65/3.07 U := U
% 2.65/3.07 W := W
% 2.65/3.07 end
% 2.65/3.07
% 2.65/3.07 subsumption: (18199) {G31,W9,D2,L1,V6,M1} R(18026,427) { eqangle( X, Y, X,
% 2.65/3.07 Y, Z, T, U, W ) }.
% 2.65/3.07 parent0: (19201) {G2,W9,D2,L1,V6,M1} { eqangle( Z, T, Z, T, X, Y, U, W )
% 2.65/3.07 }.
% 2.65/3.07 substitution0:
% 2.65/3.07 X := Z
% 2.65/3.07 Y := T
% 2.65/3.07 Z := X
% 2.65/3.07 T := Y
% 2.65/3.07 U := U
% 2.65/3.07 W := W
% 2.65/3.07 end
% 2.65/3.07 permutation0:
% 2.65/3.07 0 ==> 0
% 2.65/3.07 end
% 2.65/3.07
% 2.65/3.07 resolution: (19202) {G2,W14,D2,L2,V8,M2} { ! para( X, Y, Z, T ), eqangle(
% 2.65/3.07 X, Y, Z, T, U, W, V0, V1 ) }.
% 2.65/3.07 parent0[1]: (687) {G1,W23,D2,L3,V10,M3} R(39,21) { ! para( X, Y, Z, T ), !
% 2.65/3.07 eqangle( Z, T, U, W, V0, V1, V2, V3 ), eqangle( X, Y, U, W, V0, V1, V2,
% 2.65/3.07 V3 ) }.
% 2.65/3.07 parent1[0]: (18199) {G31,W9,D2,L1,V6,M1} R(18026,427) { eqangle( X, Y, X, Y
% 2.65/3.07 , Z, T, U, W ) }.
% 2.65/3.07 substitution0:
% 2.65/3.07 X := X
% 2.65/3.07 Y := Y
% 2.65/3.07 Z := Z
% 2.65/3.07 T := T
% 2.65/3.07 U := Z
% 2.65/3.07 W := T
% 2.65/3.07 V0 := U
% 2.65/3.07 V1 := W
% 2.65/3.07 V2 := V0
% 2.65/3.07 V3 := V1
% 2.65/3.07 end
% 2.65/3.07 substitution1:
% 2.65/3.07 X := Z
% 2.65/3.07 Y := T
% 2.65/3.07 Z := U
% 2.65/3.07 T := W
% 2.65/3.07 U := V0
% 2.65/3.07 W := V1
% 2.65/3.07 end
% 2.65/3.07
% 2.65/3.07 resolution: (19203) {G3,W9,D2,L1,V8,M1} { eqangle( X, Y, Z, T, U, W, V0,
% 2.65/3.07 V1 ) }.
% 2.65/3.07 parent0[0]: (19202) {G2,W14,D2,L2,V8,M2} { ! para( X, Y, Z, T ), eqangle(
% 2.65/3.07 X, Y, Z, T, U, W, V0, V1 ) }.
% 2.65/3.07 parent1[0]: (18020) {G29,W5,D2,L1,V4,M1} R(18014,15078) { para( X, Y, Z, T
% 2.65/3.07 ) }.
% 2.65/3.07 substitution0:
% 2.65/3.07 X := X
% 2.65/3.07 Y := Y
% 2.65/3.07 Z := Z
% 2.65/3.07 T := T
% 2.65/3.07 U := U
% 2.65/3.07 W := W
% 2.65/3.07 V0 := V0
% 2.65/3.07 V1 := V1
% 2.65/3.07 end
% 2.65/3.07 substitution1:
% 2.65/3.07 X := X
% 2.65/3.07 Y := Y
% 2.65/3.07 Z := Z
% 2.65/3.07 T := T
% 2.65/3.07 end
% 2.65/3.07
% 2.65/3.07 subsumption: (18201) {G32,W9,D2,L1,V8,M1} R(18199,687);r(18020) { eqangle(
% 2.65/3.07 X, Y, Z, T, U, W, V0, V1 ) }.
% 2.65/3.07 parent0: (19203) {G3,W9,D2,L1,V8,M1} { eqangle( X, Y, Z, T, U, W, V0, V1 )
% 2.65/3.07 }.
% 2.65/3.07 substitution0:
% 2.65/3.07 X := X
% 2.65/3.07 Y := Y
% 2.65/3.07 Z := Z
% 2.65/3.07 T := T
% 2.65/3.07 U := U
% 2.65/3.07 W := W
% 2.65/3.07 V0 := V0
% 2.65/3.07 V1 := V1
% 2.65/3.07 end
% 2.65/3.07 permutation0:
% 2.65/3.07 0 ==> 0
% 2.65/3.07 end
% 2.65/3.07
% 2.65/3.07 resolution: (19204) {G2,W0,D0,L0,V0,M0} { }.
% 2.65/3.07 parent0[0]: (7105) {G1,W9,D2,L1,V0,M1} R(126,17) { ! eqangle( skol23,
% 2.65/3.07 skol24, skol23, skol25, skol20, skol26, skol26, skol22 ) }.
% 2.65/3.07 parent1[0]: (18201) {G32,W9,D2,L1,V8,M1} R(18199,687);r(18020) { eqangle( X
% 2.65/3.07 , Y, Z, T, U, W, V0, V1 ) }.
% 2.65/3.07 substitution0:
% 2.65/3.07 end
% 2.65/3.07 substitution1:
% 2.65/3.07 X := skol23
% 2.65/3.07 Y := skol24
% 2.65/3.07 Z := skol23
% 2.65/3.07 T := skol25
% 2.65/3.07 U := skol20
% 2.65/3.07 W := skol26
% 2.65/3.07 V0 := skol26
% 2.65/3.07 V1 := skol22
% 2.65/3.07 end
% 2.65/3.07
% 2.65/3.07 subsumption: (18202) {G33,W0,D0,L0,V0,M0} R(18201,7105) { }.
% 2.65/3.07 parent0: (19204) {G2,W0,D0,L0,V0,M0} { }.
% 2.65/3.07 substitution0:
% 2.65/3.07 end
% 2.65/3.07 permutation0:
% 2.65/3.07 end
% 2.65/3.07
% 2.65/3.07 Proof check complete!
% 2.65/3.07
% 2.65/3.07 Memory use:
% 2.65/3.07
% 2.65/3.07 space for terms: 301850
% 2.65/3.07 space for clauses: 946313
% 2.65/3.07
% 2.65/3.07
% 2.65/3.07 clauses generated: 136841
% 2.65/3.07 clauses kept: 18203
% 2.65/3.07 clauses selected: 2188
% 2.65/3.07 clauses deleted: 1485
% 2.65/3.07 clauses inuse deleted: 966
% 2.65/3.07
% 2.65/3.07 subsentry: 1283147
% 2.65/3.07 literals s-matched: 871929
% 2.65/3.07 literals matched: 464076
% 2.65/3.07 full subsumption: 179219
% 2.65/3.07
% 2.65/3.07 checksum: 917718135
% 2.65/3.07
% 2.65/3.07
% 2.65/3.07 Bliksem ended
%------------------------------------------------------------------------------