TSTP Solution File: GEO609+1 by Bliksem---1.12
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- Process Solution
%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : GEO609+1 : TPTP v8.1.0. Released v7.5.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n022.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 02:55:04 EDT 2022
% Result : Theorem 19.38s 19.76s
% Output : Refutation 19.38s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : GEO609+1 : TPTP v8.1.0. Released v7.5.0.
% 0.06/0.12 % Command : bliksem %s
% 0.12/0.33 % Computer : n022.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % DateTime : Sat Jun 18 04:20:32 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.72/1.11 *** allocated 10000 integers for termspace/termends
% 0.72/1.11 *** allocated 10000 integers for clauses
% 0.72/1.11 *** allocated 10000 integers for justifications
% 0.72/1.11 Bliksem 1.12
% 0.72/1.11
% 0.72/1.11
% 0.72/1.11 Automatic Strategy Selection
% 0.72/1.11
% 0.72/1.11 *** allocated 15000 integers for termspace/termends
% 0.72/1.11
% 0.72/1.11 Clauses:
% 0.72/1.11
% 0.72/1.11 { ! coll( X, Y, Z ), coll( X, Z, Y ) }.
% 0.72/1.11 { ! coll( X, Y, Z ), coll( Y, X, Z ) }.
% 0.72/1.11 { ! coll( X, T, Y ), ! coll( X, T, Z ), coll( Y, Z, X ) }.
% 0.72/1.11 { ! para( X, Y, Z, T ), para( X, Y, T, Z ) }.
% 0.72/1.11 { ! para( X, Y, Z, T ), para( Z, T, X, Y ) }.
% 0.72/1.11 { ! para( X, Y, U, W ), ! para( U, W, Z, T ), para( X, Y, Z, T ) }.
% 0.72/1.11 { ! perp( X, Y, Z, T ), perp( X, Y, T, Z ) }.
% 0.72/1.11 { ! perp( X, Y, Z, T ), perp( Z, T, X, Y ) }.
% 0.72/1.11 { ! perp( X, Y, U, W ), ! perp( U, W, Z, T ), para( X, Y, Z, T ) }.
% 0.72/1.11 { ! para( X, Y, U, W ), ! perp( U, W, Z, T ), perp( X, Y, Z, T ) }.
% 0.72/1.11 { ! midp( Z, Y, X ), midp( Z, X, Y ) }.
% 0.72/1.11 { ! cong( T, X, T, Y ), ! cong( T, X, T, Z ), circle( T, X, Y, Z ) }.
% 0.72/1.11 { ! cong( U, X, U, Y ), ! cong( U, X, U, Z ), ! cong( U, X, U, T ), cyclic
% 0.72/1.11 ( X, Y, Z, T ) }.
% 0.72/1.11 { ! cyclic( X, Y, Z, T ), cyclic( X, Y, T, Z ) }.
% 0.72/1.11 { ! cyclic( X, Y, Z, T ), cyclic( X, Z, Y, T ) }.
% 0.72/1.11 { ! cyclic( X, Y, Z, T ), cyclic( Y, X, Z, T ) }.
% 0.72/1.11 { ! cyclic( U, X, Y, Z ), ! cyclic( U, X, Y, T ), cyclic( X, Y, Z, T ) }.
% 0.72/1.11 { ! eqangle( X, Y, Z, T, U, W, V0, V1 ), eqangle( Y, X, Z, T, U, W, V0, V1
% 0.72/1.11 ) }.
% 0.72/1.11 { ! eqangle( X, Y, Z, T, U, W, V0, V1 ), eqangle( Z, T, X, Y, V0, V1, U, W
% 0.72/1.11 ) }.
% 0.72/1.11 { ! eqangle( X, Y, Z, T, U, W, V0, V1 ), eqangle( U, W, V0, V1, X, Y, Z, T
% 0.72/1.11 ) }.
% 0.72/1.11 { ! eqangle( X, Y, Z, T, U, W, V0, V1 ), eqangle( X, Y, U, W, Z, T, V0, V1
% 0.72/1.11 ) }.
% 0.72/1.11 { ! eqangle( X, Y, Z, T, V2, V3, V4, V5 ), ! eqangle( V2, V3, V4, V5, U, W
% 0.72/1.11 , V0, V1 ), eqangle( X, Y, Z, T, U, W, V0, V1 ) }.
% 0.72/1.11 { ! cong( X, Y, Z, T ), cong( X, Y, T, Z ) }.
% 0.72/1.11 { ! cong( X, Y, Z, T ), cong( Z, T, X, Y ) }.
% 0.72/1.11 { ! cong( X, Y, U, W ), ! cong( U, W, Z, T ), cong( X, Y, Z, T ) }.
% 0.72/1.11 { ! eqratio( X, Y, Z, T, U, W, V0, V1 ), eqratio( Y, X, Z, T, U, W, V0, V1
% 0.72/1.11 ) }.
% 0.72/1.11 { ! eqratio( X, Y, Z, T, U, W, V0, V1 ), eqratio( Z, T, X, Y, V0, V1, U, W
% 0.72/1.11 ) }.
% 0.72/1.11 { ! eqratio( X, Y, Z, T, U, W, V0, V1 ), eqratio( U, W, V0, V1, X, Y, Z, T
% 0.72/1.11 ) }.
% 0.72/1.11 { ! eqratio( X, Y, Z, T, U, W, V0, V1 ), eqratio( X, Y, U, W, Z, T, V0, V1
% 0.72/1.11 ) }.
% 0.72/1.11 { ! eqratio( X, Y, Z, T, V2, V3, V4, V5 ), ! eqratio( V2, V3, V4, V5, U, W
% 0.72/1.11 , V0, V1 ), eqratio( X, Y, Z, T, U, W, V0, V1 ) }.
% 0.72/1.11 { ! simtri( X, Z, Y, T, W, U ), simtri( X, Y, Z, T, U, W ) }.
% 0.72/1.11 { ! simtri( Y, X, Z, U, T, W ), simtri( X, Y, Z, T, U, W ) }.
% 0.72/1.11 { ! simtri( T, U, W, X, Y, Z ), simtri( X, Y, Z, T, U, W ) }.
% 0.72/1.11 { ! simtri( X, Y, Z, V0, V1, V2 ), ! simtri( V0, V1, V2, T, U, W ), simtri
% 0.72/1.11 ( X, Y, Z, T, U, W ) }.
% 0.72/1.11 { ! contri( X, Z, Y, T, W, U ), contri( X, Y, Z, T, U, W ) }.
% 0.72/1.11 { ! contri( Y, X, Z, U, T, W ), contri( X, Y, Z, T, U, W ) }.
% 0.72/1.11 { ! contri( T, U, W, X, Y, Z ), contri( X, Y, Z, T, U, W ) }.
% 0.72/1.11 { ! contri( X, Y, Z, V0, V1, V2 ), ! contri( V0, V1, V2, T, U, W ), contri
% 0.72/1.11 ( X, Y, Z, T, U, W ) }.
% 0.72/1.11 { ! eqangle( X, Y, U, W, Z, T, U, W ), para( X, Y, Z, T ) }.
% 0.72/1.11 { ! para( X, Y, Z, T ), eqangle( X, Y, U, W, Z, T, U, W ) }.
% 0.72/1.11 { ! cyclic( X, Y, Z, T ), eqangle( Z, X, Z, Y, T, X, T, Y ) }.
% 0.72/1.11 { ! eqangle( Z, X, Z, Y, T, X, T, Y ), coll( Z, T, X ), cyclic( X, Y, Z, T
% 0.72/1.11 ) }.
% 0.72/1.11 { ! eqangle( Z, X, Z, Y, T, X, T, Y ), ! coll( Z, T, Y ), cyclic( X, Y, Z,
% 0.72/1.11 T ) }.
% 0.72/1.11 { ! cyclic( X, Y, U, Z ), ! cyclic( X, Y, U, T ), ! cyclic( X, Y, U, W ), !
% 0.72/1.11 eqangle( U, X, U, Y, W, Z, W, T ), cong( X, Y, Z, T ) }.
% 0.72/1.11 { ! midp( Z, U, X ), ! midp( T, U, Y ), para( Z, T, X, Y ) }.
% 0.72/1.11 { ! midp( U, X, T ), ! para( U, Z, T, Y ), ! coll( Z, X, Y ), midp( Z, X, Y
% 0.72/1.11 ) }.
% 0.72/1.11 { ! cong( Z, X, Z, Y ), eqangle( Z, X, X, Y, X, Y, Z, Y ) }.
% 0.72/1.11 { ! eqangle( Z, X, X, Y, X, Y, Z, Y ), coll( Z, X, Y ), cong( Z, X, Z, Y )
% 0.72/1.11 }.
% 0.72/1.11 { ! circle( U, X, Y, Z ), ! perp( U, X, X, T ), eqangle( X, T, X, Y, Z, X,
% 0.72/1.11 Z, Y ) }.
% 0.72/1.11 { ! circle( Y, X, T, U ), ! eqangle( X, Z, X, T, U, X, U, T ), perp( Y, X,
% 0.72/1.11 X, Z ) }.
% 0.72/1.11 { ! circle( T, X, Y, Z ), ! midp( U, Y, Z ), eqangle( X, Y, X, Z, T, Y, T,
% 0.72/1.11 U ) }.
% 0.72/1.11 { ! circle( U, T, X, Y ), ! coll( Z, X, Y ), ! eqangle( T, X, T, Y, U, X, U
% 0.72/1.11 , Z ), midp( Z, X, Y ) }.
% 0.72/1.11 { ! perp( X, Y, Y, T ), ! midp( Z, X, T ), cong( X, Z, Y, Z ) }.
% 0.72/1.11 { ! circle( T, X, Y, Z ), ! coll( T, X, Z ), perp( X, Y, Y, Z ) }.
% 0.72/1.11 { ! cyclic( X, Y, Z, T ), ! para( X, Y, Z, T ), eqangle( X, T, Z, T, Z, T,
% 0.72/1.11 Z, Y ) }.
% 0.72/1.11 { ! midp( T, X, Y ), ! perp( Z, T, X, Y ), cong( Z, X, Z, Y ) }.
% 0.72/1.11 { ! cong( X, Z, Y, Z ), ! cong( X, T, Y, T ), perp( X, Y, Z, T ) }.
% 0.72/1.11 { ! cong( X, Y, T, Y ), ! cong( X, Z, T, Z ), ! cyclic( X, T, Y, Z ), perp
% 0.72/1.11 ( Y, X, X, Z ) }.
% 0.72/1.11 { ! eqangle( X, Y, Y, Z, T, U, U, W ), ! eqangle( X, Z, Y, Z, T, W, U, W )
% 0.72/1.11 , coll( X, Y, Z ), simtri( X, Y, Z, T, U, W ) }.
% 0.72/1.11 { ! simtri( X, Y, Z, T, U, W ), eqratio( X, Y, X, Z, T, U, T, W ) }.
% 0.72/1.11 { ! simtri( X, Y, Z, T, U, W ), eqangle( X, Y, Y, Z, T, U, U, W ) }.
% 0.72/1.11 { ! simtri( X, Y, Z, T, U, W ), ! cong( X, Y, T, U ), contri( X, Y, Z, T, U
% 0.72/1.11 , W ) }.
% 0.72/1.11 { ! contri( X, Y, U, Z, T, W ), cong( X, Y, Z, T ) }.
% 0.72/1.11 { ! midp( U, X, Y ), ! midp( U, Z, T ), para( X, Z, Y, T ) }.
% 0.72/1.11 { ! midp( Z, T, U ), ! para( T, X, U, Y ), ! para( T, Y, U, X ), midp( Z, X
% 0.72/1.11 , Y ) }.
% 0.72/1.11 { ! para( X, Y, Z, T ), ! coll( U, X, Z ), ! coll( U, Y, T ), eqratio( U, X
% 0.72/1.11 , X, Z, U, Y, Y, T ) }.
% 0.72/1.11 { ! para( X, Y, X, Z ), coll( X, Y, Z ) }.
% 0.72/1.11 { ! cong( X, Y, X, Z ), ! coll( X, Y, Z ), midp( X, Y, Z ) }.
% 0.72/1.11 { ! midp( X, Y, Z ), cong( X, Y, X, Z ) }.
% 0.72/1.11 { ! midp( X, Y, Z ), coll( X, Y, Z ) }.
% 0.72/1.11 { ! midp( U, X, Y ), ! midp( W, Z, T ), eqratio( U, X, X, Y, W, Z, Z, T ) }
% 0.72/1.11 .
% 0.72/1.11 { ! eqangle( X, Y, Z, T, Z, T, X, Y ), para( X, Y, Z, T ), perp( X, Y, Z, T
% 0.72/1.11 ) }.
% 0.72/1.11 { ! eqangle( X, Y, Z, T, Z, T, X, Y ), perp( X, Y, Z, T ), para( X, Y, Z, T
% 0.72/1.11 ) }.
% 0.72/1.11 { ! eqangle( X, Y, Z, T, U, W, V0, V1 ), ! para( U, W, V0, V1 ), para( X, Y
% 0.72/1.11 , Z, T ) }.
% 0.72/1.11 { ! eqangle( X, Y, Z, T, U, W, V0, V1 ), ! perp( U, W, V0, V1 ), perp( X, Y
% 0.72/1.11 , Z, T ) }.
% 0.72/1.11 { ! eqratio( X, Y, Z, T, U, W, V0, V1 ), ! cong( U, W, V0, V1 ), cong( X, Y
% 0.72/1.11 , Z, T ) }.
% 0.72/1.11 { ! perp( Z, Y, Y, X ), ! eqangle( T, Z, Y, Z, Y, Z, X, Z ), coll( skol1( U
% 0.72/1.11 , W, Z, T ), Z, T ) }.
% 0.72/1.11 { ! perp( Z, Y, Y, X ), ! eqangle( T, Z, Y, Z, Y, Z, X, Z ), coll( skol1( X
% 0.72/1.11 , Y, Z, T ), X, Y ) }.
% 0.72/1.11 { ! cong( Z, X, Z, Y ), ! eqangle( X, Z, Z, T, Z, T, Z, Y ), coll( skol2( U
% 0.72/1.11 , W, Z, T ), Z, T ) }.
% 0.72/1.11 { ! cong( Z, X, Z, Y ), ! eqangle( X, Z, Z, T, Z, T, Z, Y ), coll( Y, X,
% 0.72/1.11 skol2( X, Y, Z, T ) ) }.
% 0.72/1.11 { ! perp( Z, T, X, Y ), ! eqangle( X, Z, Z, T, Z, T, Z, Y ), coll( skol3( U
% 0.72/1.11 , W, Z, T ), Z, T ) }.
% 0.72/1.11 { ! perp( Z, T, X, Y ), ! eqangle( X, Z, Z, T, Z, T, Z, Y ), coll( Y, X,
% 0.72/1.11 skol3( X, Y, Z, T ) ) }.
% 0.72/1.11 { ! perp( Z, T, X, Y ), ! cong( Z, X, Z, Y ), coll( skol4( U, W, Z, T ), Z
% 0.72/1.11 , T ) }.
% 0.72/1.11 { ! perp( Z, T, X, Y ), ! cong( Z, X, Z, Y ), coll( Y, X, skol4( X, Y, Z, T
% 0.72/1.11 ) ) }.
% 0.72/1.11 { ! eqangle( X, Z, Y, Z, X, T, Y, U ), coll( X, Y, Z ), cyclic( T, Y, Z,
% 0.72/1.11 skol5( W, Y, Z, T ) ) }.
% 0.72/1.11 { ! eqangle( X, Z, Y, Z, X, T, Y, U ), coll( X, Y, Z ), eqangle( X, Z, Y, Z
% 0.72/1.11 , X, skol5( X, Y, Z, T ), Y, skol5( X, Y, Z, T ) ) }.
% 0.72/1.11 { ! midp( U, X, Y ), ! midp( W, Z, T ), midp( skol6( X, V0, V1, T, V2, V3 )
% 0.72/1.11 , X, T ) }.
% 0.72/1.11 { ! midp( U, X, Y ), ! midp( W, Z, T ), para( skol6( X, V0, Z, T, V1, W ),
% 0.72/1.11 W, X, Z ) }.
% 0.72/1.11 { ! midp( U, X, Y ), ! midp( W, Z, T ), para( skol6( X, Y, Z, T, U, W ), U
% 0.72/1.11 , Y, T ) }.
% 0.72/1.11 { ! midp( Z, X, Y ), ! midp( W, T, U ), ! coll( T, X, Y ), ! coll( U, X, Y
% 0.72/1.11 ), midp( skol7( X, V0 ), X, V0 ) }.
% 0.72/1.11 { ! midp( T, X, U ), ! para( X, W, Z, T ), ! para( X, W, U, Y ), ! coll( W
% 0.72/1.11 , Y, Z ), coll( skol8( V0, V1, Z, T ), T, Z ) }.
% 0.72/1.11 { ! midp( T, X, U ), ! para( X, W, Z, T ), ! para( X, W, U, Y ), ! coll( W
% 0.72/1.11 , Y, Z ), coll( skol8( X, Y, Z, T ), X, Y ) }.
% 0.72/1.11 { ! cong( T, Z, T, U ), ! perp( X, Y, Y, T ), cong( T, Z, T, skol9( W, V0,
% 0.72/1.11 Z, T ) ) }.
% 0.72/1.11 { ! cong( T, Z, T, U ), ! perp( X, Y, Y, T ), cong( Y, Z, Y, skol9( W, Y, Z
% 0.72/1.11 , T ) ) }.
% 0.72/1.11 { ! cong( T, Z, T, U ), ! perp( X, Y, Y, T ), para( skol9( X, Y, Z, T ), Z
% 0.72/1.11 , X, Y ) }.
% 0.72/1.11 { ! perp( X, T, Y, Z ), ! perp( Y, T, X, Z ), coll( skol10( U, Y, Z ), Z, Y
% 0.72/1.11 ) }.
% 0.72/1.11 { ! perp( X, T, Y, Z ), ! perp( Y, T, X, Z ), perp( X, skol10( X, Y, Z ), Z
% 0.72/1.11 , Y ) }.
% 0.72/1.11 { ! perp( X, T, Y, Z ), ! perp( Y, T, X, Z ), alpha1( X, Y, Z ) }.
% 0.72/1.11 { ! alpha1( X, Y, Z ), coll( skol11( X, T, Z ), Z, X ) }.
% 0.72/1.11 { ! alpha1( X, Y, Z ), perp( Y, skol11( X, Y, Z ), Z, X ) }.
% 0.72/1.11 { ! coll( T, Z, X ), ! perp( Y, T, Z, X ), alpha1( X, Y, Z ) }.
% 0.72/1.11 { ! circle( Y, X, Z, T ), perp( skol12( X, Y ), X, X, Y ) }.
% 4.75/5.15 { ! circle( W, X, Y, Z ), ! cong( W, X, W, T ), ! cong( U, X, U, Y ), W = U
% 4.75/5.15 , alpha2( X, Z, U, skol13( X, V0, Z, V1, U ) ) }.
% 4.75/5.15 { ! circle( W, X, Y, Z ), ! cong( W, X, W, T ), ! cong( U, X, U, Y ), W = U
% 4.75/5.15 , coll( skol21( V0, Y, T, V1 ), Y, T ) }.
% 4.75/5.15 { ! circle( W, X, Y, Z ), ! cong( W, X, W, T ), ! cong( U, X, U, Y ), W = U
% 4.75/5.15 , cong( skol21( X, Y, T, U ), U, U, X ) }.
% 4.75/5.15 { ! alpha2( X, Y, Z, T ), coll( T, X, Y ) }.
% 4.75/5.15 { ! alpha2( X, Y, Z, T ), cong( T, Z, Z, X ) }.
% 4.75/5.15 { ! coll( T, X, Y ), ! cong( T, Z, Z, X ), alpha2( X, Y, Z, T ) }.
% 4.75/5.15 { ! cyclic( X, Y, Z, T ), ! para( X, Y, Z, T ), ! midp( U, X, Y ), circle(
% 4.75/5.15 skol14( X, Y, Z ), X, Y, Z ) }.
% 4.75/5.15 { ! perp( X, Z, Z, Y ), ! cyclic( X, Y, Z, T ), circle( skol15( X, Y, Z ),
% 4.75/5.15 X, Y, Z ) }.
% 4.75/5.15 { ! perp( X, U, U, T ), ! coll( T, Y, Z ), coll( skol16( W, Y, Z ), Y, Z )
% 4.75/5.15 }.
% 4.75/5.15 { ! perp( X, U, U, T ), ! coll( T, Y, Z ), perp( skol16( X, Y, Z ), X, Y, Z
% 4.75/5.15 ) }.
% 4.75/5.15 { ! perp( X, Z, X, Y ), ! perp( Y, X, Y, T ), ! midp( U, Z, T ), midp(
% 4.75/5.15 skol17( X, Y ), X, Y ) }.
% 4.75/5.15 { ! cong( Y, X, Y, Z ), ! perp( X, Y, Y, Z ), coll( X, Y, skol18( X, Y ) )
% 4.75/5.15 }.
% 4.75/5.15 { ! cong( Y, X, Y, Z ), ! perp( X, Y, Y, Z ), cong( Y, X, Y, skol18( X, Y )
% 4.75/5.15 ) }.
% 4.75/5.15 { ! para( U, W, X, Y ), ! coll( Z, U, X ), ! coll( Z, W, Y ), ! coll( T, U
% 4.75/5.15 , W ), coll( Z, T, skol19( V0, V1, Z, T ) ) }.
% 4.75/5.15 { ! para( U, W, X, Y ), ! coll( Z, U, X ), ! coll( Z, W, Y ), ! coll( T, U
% 4.75/5.15 , W ), coll( skol19( X, Y, Z, T ), X, Y ) }.
% 4.75/5.15 { circle( skol22, skol20, skol25, skol26 ) }.
% 4.75/5.15 { para( skol25, skol26, skol27, skol20 ) }.
% 4.75/5.15 { circle( skol22, skol20, skol27, skol28 ) }.
% 4.75/5.15 { perp( skol23, skol27, skol20, skol25 ) }.
% 4.75/5.15 { coll( skol23, skol20, skol25 ) }.
% 4.75/5.15 { perp( skol24, skol27, skol20, skol26 ) }.
% 4.75/5.15 { coll( skol24, skol20, skol26 ) }.
% 4.75/5.15 { ! para( skol23, skol24, skol20, skol22 ) }.
% 4.75/5.15
% 4.75/5.15 percentage equality = 0.008772, percentage horn = 0.927419
% 4.75/5.15 This is a problem with some equality
% 4.75/5.15
% 4.75/5.15
% 4.75/5.15
% 4.75/5.15 Options Used:
% 4.75/5.15
% 4.75/5.15 useres = 1
% 4.75/5.15 useparamod = 1
% 4.75/5.15 useeqrefl = 1
% 4.75/5.15 useeqfact = 1
% 4.75/5.15 usefactor = 1
% 4.75/5.15 usesimpsplitting = 0
% 4.75/5.15 usesimpdemod = 5
% 4.75/5.15 usesimpres = 3
% 4.75/5.15
% 4.75/5.15 resimpinuse = 1000
% 4.75/5.15 resimpclauses = 20000
% 4.75/5.15 substype = eqrewr
% 4.75/5.15 backwardsubs = 1
% 4.75/5.15 selectoldest = 5
% 4.75/5.15
% 4.75/5.15 litorderings [0] = split
% 4.75/5.15 litorderings [1] = extend the termordering, first sorting on arguments
% 4.75/5.15
% 4.75/5.15 termordering = kbo
% 4.75/5.15
% 4.75/5.15 litapriori = 0
% 4.75/5.15 termapriori = 1
% 4.75/5.15 litaposteriori = 0
% 4.75/5.15 termaposteriori = 0
% 4.75/5.15 demodaposteriori = 0
% 4.75/5.15 ordereqreflfact = 0
% 4.75/5.15
% 4.75/5.15 litselect = negord
% 4.75/5.15
% 4.75/5.15 maxweight = 15
% 4.75/5.15 maxdepth = 30000
% 4.75/5.15 maxlength = 115
% 4.75/5.15 maxnrvars = 195
% 4.75/5.15 excuselevel = 1
% 4.75/5.15 increasemaxweight = 1
% 4.75/5.15
% 4.75/5.15 maxselected = 10000000
% 4.75/5.15 maxnrclauses = 10000000
% 4.75/5.15
% 4.75/5.15 showgenerated = 0
% 4.75/5.15 showkept = 0
% 4.75/5.15 showselected = 0
% 4.75/5.15 showdeleted = 0
% 4.75/5.15 showresimp = 1
% 4.75/5.15 showstatus = 2000
% 4.75/5.15
% 4.75/5.15 prologoutput = 0
% 4.75/5.15 nrgoals = 5000000
% 4.75/5.15 totalproof = 1
% 4.75/5.15
% 4.75/5.15 Symbols occurring in the translation:
% 4.75/5.15
% 4.75/5.15 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 4.75/5.15 . [1, 2] (w:1, o:38, a:1, s:1, b:0),
% 4.75/5.15 ! [4, 1] (w:0, o:33, a:1, s:1, b:0),
% 4.75/5.15 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 4.75/5.15 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 4.75/5.15 coll [38, 3] (w:1, o:66, a:1, s:1, b:0),
% 4.75/5.15 para [40, 4] (w:1, o:74, a:1, s:1, b:0),
% 4.75/5.15 perp [43, 4] (w:1, o:75, a:1, s:1, b:0),
% 4.75/5.15 midp [45, 3] (w:1, o:67, a:1, s:1, b:0),
% 4.75/5.15 cong [47, 4] (w:1, o:76, a:1, s:1, b:0),
% 4.75/5.15 circle [48, 4] (w:1, o:77, a:1, s:1, b:0),
% 4.75/5.15 cyclic [49, 4] (w:1, o:78, a:1, s:1, b:0),
% 4.75/5.15 eqangle [54, 8] (w:1, o:93, a:1, s:1, b:0),
% 4.75/5.15 eqratio [57, 8] (w:1, o:94, a:1, s:1, b:0),
% 4.75/5.15 simtri [59, 6] (w:1, o:90, a:1, s:1, b:0),
% 4.75/5.15 contri [60, 6] (w:1, o:91, a:1, s:1, b:0),
% 4.75/5.15 alpha1 [65, 3] (w:1, o:68, a:1, s:1, b:1),
% 4.75/5.15 alpha2 [66, 4] (w:1, o:79, a:1, s:1, b:1),
% 4.75/5.15 skol1 [67, 4] (w:1, o:80, a:1, s:1, b:1),
% 4.75/5.15 skol2 [68, 4] (w:1, o:82, a:1, s:1, b:1),
% 4.75/5.15 skol3 [69, 4] (w:1, o:84, a:1, s:1, b:1),
% 4.75/5.15 skol4 [70, 4] (w:1, o:85, a:1, s:1, b:1),
% 4.75/5.15 skol5 [71, 4] (w:1, o:86, a:1, s:1, b:1),
% 4.75/5.15 skol6 [72, 6] (w:1, o:92, a:1, s:1, b:1),
% 4.75/5.15 skol7 [73, 2] (w:1, o:62, a:1, s:1, b:1),
% 19.38/19.76 skol8 [74, 4] (w:1, o:87, a:1, s:1, b:1),
% 19.38/19.76 skol9 [75, 4] (w:1, o:88, a:1, s:1, b:1),
% 19.38/19.76 skol10 [76, 3] (w:1, o:69, a:1, s:1, b:1),
% 19.38/19.76 skol11 [77, 3] (w:1, o:70, a:1, s:1, b:1),
% 19.38/19.76 skol12 [78, 2] (w:1, o:63, a:1, s:1, b:1),
% 19.38/19.76 skol13 [79, 5] (w:1, o:89, a:1, s:1, b:1),
% 19.38/19.76 skol14 [80, 3] (w:1, o:71, a:1, s:1, b:1),
% 19.38/19.76 skol15 [81, 3] (w:1, o:72, a:1, s:1, b:1),
% 19.38/19.76 skol16 [82, 3] (w:1, o:73, a:1, s:1, b:1),
% 19.38/19.76 skol17 [83, 2] (w:1, o:64, a:1, s:1, b:1),
% 19.38/19.76 skol18 [84, 2] (w:1, o:65, a:1, s:1, b:1),
% 19.38/19.76 skol19 [85, 4] (w:1, o:81, a:1, s:1, b:1),
% 19.38/19.76 skol20 [86, 0] (w:1, o:25, a:1, s:1, b:1),
% 19.38/19.76 skol21 [87, 4] (w:1, o:83, a:1, s:1, b:1),
% 19.38/19.76 skol22 [88, 0] (w:1, o:26, a:1, s:1, b:1),
% 19.38/19.76 skol23 [89, 0] (w:1, o:27, a:1, s:1, b:1),
% 19.38/19.76 skol24 [90, 0] (w:1, o:28, a:1, s:1, b:1),
% 19.38/19.76 skol25 [91, 0] (w:1, o:29, a:1, s:1, b:1),
% 19.38/19.76 skol26 [92, 0] (w:1, o:30, a:1, s:1, b:1),
% 19.38/19.76 skol27 [93, 0] (w:1, o:31, a:1, s:1, b:1),
% 19.38/19.76 skol28 [94, 0] (w:1, o:32, a:1, s:1, b:1).
% 19.38/19.76
% 19.38/19.76
% 19.38/19.76 Starting Search:
% 19.38/19.76
% 19.38/19.76 *** allocated 15000 integers for clauses
% 19.38/19.76 *** allocated 22500 integers for clauses
% 19.38/19.76 *** allocated 33750 integers for clauses
% 19.38/19.76 *** allocated 22500 integers for termspace/termends
% 19.38/19.76 *** allocated 50625 integers for clauses
% 19.38/19.76 Resimplifying inuse:
% 19.38/19.76 Done
% 19.38/19.76
% 19.38/19.76 *** allocated 75937 integers for clauses
% 19.38/19.76 *** allocated 33750 integers for termspace/termends
% 19.38/19.76 *** allocated 113905 integers for clauses
% 19.38/19.76 *** allocated 50625 integers for termspace/termends
% 19.38/19.76
% 19.38/19.76 Intermediate Status:
% 19.38/19.76 Generated: 18887
% 19.38/19.76 Kept: 2091
% 19.38/19.76 Inuse: 336
% 19.38/19.76 Deleted: 1
% 19.38/19.76 Deletedinuse: 1
% 19.38/19.76
% 19.38/19.76 Resimplifying inuse:
% 19.38/19.76 Done
% 19.38/19.76
% 19.38/19.76 *** allocated 170857 integers for clauses
% 19.38/19.76 *** allocated 75937 integers for termspace/termends
% 19.38/19.76 Resimplifying inuse:
% 19.38/19.76 Done
% 19.38/19.76
% 19.38/19.76 *** allocated 256285 integers for clauses
% 19.38/19.76 *** allocated 113905 integers for termspace/termends
% 19.38/19.76
% 19.38/19.76 Intermediate Status:
% 19.38/19.76 Generated: 35395
% 19.38/19.76 Kept: 4152
% 19.38/19.76 Inuse: 454
% 19.38/19.76 Deleted: 18
% 19.38/19.76 Deletedinuse: 1
% 19.38/19.76
% 19.38/19.76 Resimplifying inuse:
% 19.38/19.76 Done
% 19.38/19.76
% 19.38/19.76 Resimplifying inuse:
% 19.38/19.76 Done
% 19.38/19.76
% 19.38/19.76 *** allocated 170857 integers for termspace/termends
% 19.38/19.76 *** allocated 384427 integers for clauses
% 19.38/19.76
% 19.38/19.76 Intermediate Status:
% 19.38/19.76 Generated: 48323
% 19.38/19.76 Kept: 6245
% 19.38/19.76 Inuse: 529
% 19.38/19.76 Deleted: 19
% 19.38/19.76 Deletedinuse: 2
% 19.38/19.76
% 19.38/19.76 Resimplifying inuse:
% 19.38/19.76 Done
% 19.38/19.76
% 19.38/19.76 Resimplifying inuse:
% 19.38/19.76 Done
% 19.38/19.76
% 19.38/19.76 *** allocated 576640 integers for clauses
% 19.38/19.76
% 19.38/19.76 Intermediate Status:
% 19.38/19.76 Generated: 71186
% 19.38/19.76 Kept: 8250
% 19.38/19.76 Inuse: 716
% 19.38/19.76 Deleted: 21
% 19.38/19.76 Deletedinuse: 2
% 19.38/19.76
% 19.38/19.76 Resimplifying inuse:
% 19.38/19.76 Done
% 19.38/19.76
% 19.38/19.76 *** allocated 256285 integers for termspace/termends
% 19.38/19.76 Resimplifying inuse:
% 19.38/19.76 Done
% 19.38/19.76
% 19.38/19.76
% 19.38/19.76 Intermediate Status:
% 19.38/19.76 Generated: 91698
% 19.38/19.76 Kept: 10447
% 19.38/19.76 Inuse: 793
% 19.38/19.76 Deleted: 28
% 19.38/19.76 Deletedinuse: 5
% 19.38/19.76
% 19.38/19.76 Resimplifying inuse:
% 19.38/19.76 Done
% 19.38/19.76
% 19.38/19.76 Resimplifying inuse:
% 19.38/19.76 Done
% 19.38/19.76
% 19.38/19.76
% 19.38/19.76 Intermediate Status:
% 19.38/19.76 Generated: 100804
% 19.38/19.76 Kept: 12472
% 19.38/19.76 Inuse: 838
% 19.38/19.76 Deleted: 32
% 19.38/19.76 Deletedinuse: 9
% 19.38/19.76
% 19.38/19.76 Resimplifying inuse:
% 19.38/19.76 Done
% 19.38/19.76
% 19.38/19.76 *** allocated 864960 integers for clauses
% 19.38/19.76 Resimplifying inuse:
% 19.38/19.76 Done
% 19.38/19.76
% 19.38/19.76
% 19.38/19.76 Intermediate Status:
% 19.38/19.76 Generated: 116806
% 19.38/19.76 Kept: 14477
% 19.38/19.76 Inuse: 961
% 19.38/19.76 Deleted: 43
% 19.38/19.76 Deletedinuse: 10
% 19.38/19.76
% 19.38/19.76 Resimplifying inuse:
% 19.38/19.76 Done
% 19.38/19.76
% 19.38/19.76 *** allocated 384427 integers for termspace/termends
% 19.38/19.76 Resimplifying inuse:
% 19.38/19.76 Done
% 19.38/19.76
% 19.38/19.76
% 19.38/19.76 Intermediate Status:
% 19.38/19.76 Generated: 130435
% 19.38/19.76 Kept: 16513
% 19.38/19.76 Inuse: 1076
% 19.38/19.76 Deleted: 54
% 19.38/19.76 Deletedinuse: 14
% 19.38/19.76
% 19.38/19.76 Resimplifying inuse:
% 19.38/19.76 Done
% 19.38/19.76
% 19.38/19.76 Resimplifying inuse:
% 19.38/19.76 Done
% 19.38/19.76
% 19.38/19.76
% 19.38/19.76 Intermediate Status:
% 19.38/19.76 Generated: 144589
% 19.38/19.76 Kept: 18536
% 19.38/19.76 Inuse: 1202
% 19.38/19.76 Deleted: 68
% 19.38/19.76 Deletedinuse: 24
% 19.38/19.76
% 19.38/19.76 Resimplifying inuse:
% 19.38/19.76 Done
% 19.38/19.76
% 19.38/19.76 *** allocated 1297440 integers for clauses
% 19.38/19.76 Resimplifying inuse:
% 19.38/19.76 Done
% 19.38/19.76
% 19.38/19.76 Resimplifying clauses:
% 19.38/19.76 Done
% 19.38/19.76
% 19.38/19.76
% 19.38/19.76 Intermediate Status:
% 19.38/19.76 Generated: 159281
% 19.38/19.76 Kept: 20543
% 19.38/19.76 Inuse: 1334
% 19.38/19.76 Deleted: 2185
% 19.38/19.76 Deletedinuse: 34
% 19.38/19.76
% 19.38/19.76 Resimplifying inuse:
% 19.38/19.76 Done
% 19.38/19.76
% 19.38/19.76 Resimplifying inuse:
% 19.38/19.76 Done
% 19.38/19.76
% 19.38/19.76
% 19.38/19.76 Intermediate Status:
% 19.38/19.76 Generated: 172856
% 19.38/19.76 Kept: 22546
% 19.38/19.76 Inuse: 1478
% 19.38/19.76 Deleted: 2192
% 19.38/19.76 Deletedinuse: 41
% 19.38/19.76
% 19.38/19.76 Resimplifying inuse:
% 19.38/19.76 Done
% 19.38/19.76
% 19.38/19.76 Resimplifying inuse:
% 19.38/19.76 Done
% 19.38/19.76
% 19.38/19.76
% 19.38/19.76 Intermediate Status:
% 19.38/19.76 Generated: 189131
% 19.38/19.76 Kept: 24555
% 19.38/19.76 Inuse: 1633
% 19.38/19.76 Deleted: 2193
% 19.38/19.76 Deletedinuse: 41
% 19.38/19.76
% 19.38/19.76 Resimplifying inuse:
% 19.38/19.76 Done
% 19.38/19.76
% 19.38/19.76 *** allocated 576640 integers for termspace/termends
% 19.38/19.76 Resimplifying inuse:
% 19.38/19.76 Done
% 19.38/19.76
% 19.38/19.76
% 19.38/19.76 Intermediate Status:
% 19.38/19.76 Generated: 203713
% 19.38/19.76 Kept: 26557
% 19.38/19.76 Inuse: 1781
% 19.38/19.76 Deleted: 2193
% 19.38/19.76 Deletedinuse: 41
% 19.38/19.76
% 19.38/19.76 Resimplifying inuse:
% 19.38/19.76 Done
% 19.38/19.76
% 19.38/19.76 Resimplifying inuse:
% 19.38/19.76 Done
% 19.38/19.76
% 19.38/19.76 *** allocated 1946160 integers for clauses
% 19.38/19.76
% 19.38/19.76 Intermediate Status:
% 19.38/19.76 Generated: 222766
% 19.38/19.76 Kept: 29882
% 19.38/19.76 Inuse: 1943
% 19.38/19.76 Deleted: 2193
% 19.38/19.76 Deletedinuse: 41
% 19.38/19.76
% 19.38/19.76 Resimplifying inuse:
% 19.38/19.76 Done
% 19.38/19.76
% 19.38/19.76
% 19.38/19.76 Intermediate Status:
% 19.38/19.76 Generated: 231114
% 19.38/19.76 Kept: 32267
% 19.38/19.76 Inuse: 1998
% 19.38/19.76 Deleted: 2193
% 19.38/19.76 Deletedinuse: 41
% 19.38/19.76
% 19.38/19.76 Resimplifying inuse:
% 19.38/19.76 Done
% 19.38/19.76
% 19.38/19.76
% 19.38/19.76 Intermediate Status:
% 19.38/19.76 Generated: 240055
% 19.38/19.76 Kept: 34763
% 19.38/19.76 Inuse: 2013
% 19.38/19.76 Deleted: 2193
% 19.38/19.76 Deletedinuse: 41
% 19.38/19.76
% 19.38/19.76 Resimplifying inuse:
% 19.38/19.76 Done
% 19.38/19.76
% 19.38/19.76 Resimplifying inuse:
% 19.38/19.76 Done
% 19.38/19.76
% 19.38/19.76
% 19.38/19.76 Intermediate Status:
% 19.38/19.76 Generated: 259054
% 19.38/19.76 Kept: 36769
% 19.38/19.76 Inuse: 2110
% 19.38/19.76 Deleted: 2201
% 19.38/19.76 Deletedinuse: 49
% 19.38/19.76
% 19.38/19.76 Resimplifying inuse:
% 19.38/19.76 Done
% 19.38/19.76
% 19.38/19.76
% 19.38/19.76 Intermediate Status:
% 19.38/19.76 Generated: 269462
% 19.38/19.76 Kept: 39437
% 19.38/19.76 Inuse: 2131
% 19.38/19.76 Deleted: 2205
% 19.38/19.76 Deletedinuse: 51
% 19.38/19.76
% 19.38/19.76 Resimplifying inuse:
% 19.38/19.76 Done
% 19.38/19.76
% 19.38/19.76 *** allocated 864960 integers for termspace/termends
% 19.38/19.76 Resimplifying inuse:
% 19.38/19.76 Done
% 19.38/19.76
% 19.38/19.76 Resimplifying clauses:
% 19.38/19.76 Done
% 19.38/19.76
% 19.38/19.76
% 19.38/19.76 Intermediate Status:
% 19.38/19.76 Generated: 277258
% 19.38/19.76 Kept: 41507
% 19.38/19.76 Inuse: 2167
% 19.38/19.76 Deleted: 4996
% 19.38/19.76 Deletedinuse: 54
% 19.38/19.76
% 19.38/19.76 Resimplifying inuse:
% 19.38/19.76 Done
% 19.38/19.76
% 19.38/19.76 Resimplifying inuse:
% 19.38/19.76 Done
% 19.38/19.76
% 19.38/19.76
% 19.38/19.76 Intermediate Status:
% 19.38/19.76 Generated: 286135
% 19.38/19.76 Kept: 43641
% 19.38/19.76 Inuse: 2217
% 19.38/19.76 Deleted: 4997
% 19.38/19.76 Deletedinuse: 55
% 19.38/19.76
% 19.38/19.76 Resimplifying inuse:
% 19.38/19.76 Done
% 19.38/19.76
% 19.38/19.76 Resimplifying inuse:
% 19.38/19.76 Done
% 19.38/19.76
% 19.38/19.76 *** allocated 2919240 integers for clauses
% 19.38/19.76
% 19.38/19.76 Intermediate Status:
% 19.38/19.76 Generated: 300144
% 19.38/19.76 Kept: 45658
% 19.38/19.76 Inuse: 2304
% 19.38/19.76 Deleted: 5004
% 19.38/19.76 Deletedinuse: 61
% 19.38/19.76
% 19.38/19.76 Resimplifying inuse:
% 19.38/19.76 Done
% 19.38/19.76
% 19.38/19.76 Resimplifying inuse:
% 19.38/19.76 Done
% 19.38/19.76
% 19.38/19.76
% 19.38/19.76 Intermediate Status:
% 19.38/19.76 Generated: 318975
% 19.38/19.76 Kept: 47670
% 19.38/19.76 Inuse: 2436
% 19.38/19.76 Deleted: 5011
% 19.38/19.76 Deletedinuse: 66
% 19.38/19.76
% 19.38/19.76 Resimplifying inuse:
% 19.38/19.76 Done
% 19.38/19.76
% 19.38/19.76 Resimplifying inuse:
% 19.38/19.76 Done
% 19.38/19.76
% 19.38/19.76
% 19.38/19.76 Intermediate Status:
% 19.38/19.76 Generated: 334867
% 19.38/19.76 Kept: 49674
% 19.38/19.76 Inuse: 2581
% 19.38/19.76 Deleted: 5015
% 19.38/19.76 Deletedinuse: 70
% 19.38/19.76
% 19.38/19.76 Resimplifying inuse:
% 19.38/19.76 Done
% 19.38/19.76
% 19.38/19.76 Resimplifying inuse:
% 19.38/19.76 Done
% 19.38/19.76
% 19.38/19.76
% 19.38/19.76 Intermediate Status:
% 19.38/19.76 Generated: 354571
% 19.38/19.76 Kept: 51678
% 19.38/19.76 Inuse: 2718
% 19.38/19.76 Deleted: 5020
% 19.38/19.76 Deletedinuse: 75
% 19.38/19.76
% 19.38/19.76 Resimplifying inuse:
% 19.38/19.76 Done
% 19.38/19.76
% 19.38/19.76 Resimplifying inuse:
% 19.38/19.76 Done
% 19.38/19.76
% 19.38/19.76
% 19.38/19.76 Intermediate Status:
% 19.38/19.76 Generated: 384851
% 19.38/19.76 Kept: 53690
% 19.38/19.76 Inuse: 2837
% 19.38/19.76 Deleted: 5025
% 19.38/19.76 Deletedinuse: 78
% 19.38/19.76
% 19.38/19.76 Resimplifying inuse:
% 19.38/19.76 Done
% 19.38/19.76
% 19.38/19.76 Resimplifying inuse:
% 19.38/19.76 Done
% 19.38/19.76
% 19.38/19.76
% 19.38/19.76 Intermediate Status:
% 19.38/19.76 Generated: 406058
% 19.38/19.76 Kept: 55696
% 19.38/19.76 Inuse: 2951
% 19.38/19.76 Deleted: 5226
% 19.38/19.76 Deletedinuse: 199
% 19.38/19.76
% 19.38/19.76 Resimplifying inuse:
% 19.38/19.76 Done
% 19.38/19.76
% 19.38/19.76 Resimplifying inuse:
% 19.38/19.76 Done
% 19.38/19.76
% 19.38/19.76
% 19.38/19.76 Intermediate Status:
% 19.38/19.76 Generated: 465626
% 19.38/19.76 Kept: 57702
% 19.38/19.76 Inuse: 3084
% 19.38/19.76 Deleted: 5261
% 19.38/19.76 Deletedinuse: 200
% 19.38/19.76
% 19.38/19.76 Resimplifying inuse:
% 19.38/19.76 Done
% 19.38/19.76
% 19.38/19.76 Resimplifying inuse:
% 19.38/19.76 Done
% 19.38/19.76
% 19.38/19.76
% 19.38/19.76 Intermediate Status:
% 19.38/19.76 Generated: 484198
% 19.38/19.76 Kept: 59717
% 19.38/19.76 Inuse: 3213
% 19.38/19.76 Deleted: 5293
% 19.38/19.76 Deletedinuse: 200
% 19.38/19.76
% 19.38/19.76
% 19.38/19.76 Bliksems!, er is een bewijs:
% 19.38/19.76 % SZS status Theorem
% 19.38/19.76 % SZS output start Refutation
% 19.38/19.76
% 19.38/19.76 (0) {G0,W8,D2,L2,V3,M2} I { ! coll( X, Y, Z ), coll( X, Z, Y ) }.
% 19.38/19.76 (2) {G0,W12,D2,L3,V4,M3} I { ! coll( X, T, Y ), ! coll( X, T, Z ), coll( Y
% 19.38/19.76 , Z, X ) }.
% 19.38/19.76 (4) {G0,W10,D2,L2,V4,M2} I { ! para( X, Y, Z, T ), para( Z, T, X, Y ) }.
% 19.38/19.76 (5) {G0,W15,D2,L3,V6,M3} I { ! para( X, Y, U, W ), ! para( U, W, Z, T ),
% 19.38/19.76 para( X, Y, Z, T ) }.
% 19.38/19.76 (6) {G0,W10,D2,L2,V4,M2} I { ! perp( X, Y, Z, T ), perp( X, Y, T, Z ) }.
% 19.38/19.76 (7) {G0,W10,D2,L2,V4,M2} I { ! perp( X, Y, Z, T ), perp( Z, T, X, Y ) }.
% 19.38/19.76 (8) {G0,W15,D2,L3,V6,M3} I { ! perp( X, Y, U, W ), ! perp( U, W, Z, T ),
% 19.38/19.76 para( X, Y, Z, T ) }.
% 19.38/19.76 (13) {G0,W10,D2,L2,V4,M2} I { ! cyclic( X, Y, Z, T ), cyclic( X, Y, T, Z )
% 19.38/19.76 }.
% 19.38/19.76 (14) {G0,W10,D2,L2,V4,M2} I { ! cyclic( X, Y, Z, T ), cyclic( X, Z, Y, T )
% 19.38/19.76 }.
% 19.38/19.76 (15) {G0,W10,D2,L2,V4,M2} I { ! cyclic( X, Y, Z, T ), cyclic( Y, X, Z, T )
% 19.38/19.76 }.
% 19.38/19.76 (16) {G0,W15,D2,L3,V5,M3} I { ! cyclic( U, X, Y, Z ), ! cyclic( U, X, Y, T
% 19.38/19.76 ), cyclic( X, Y, Z, T ) }.
% 19.38/19.76 (18) {G0,W18,D2,L2,V8,M2} I { ! eqangle( X, Y, Z, T, U, W, V0, V1 ),
% 19.38/19.76 eqangle( Z, T, X, Y, V0, V1, U, W ) }.
% 19.38/19.76 (19) {G0,W18,D2,L2,V8,M2} I { ! eqangle( X, Y, Z, T, U, W, V0, V1 ),
% 19.38/19.76 eqangle( U, W, V0, V1, X, Y, Z, T ) }.
% 19.38/19.76 (39) {G0,W14,D2,L2,V6,M2} I { ! para( X, Y, Z, T ), eqangle( X, Y, U, W, Z
% 19.38/19.76 , T, U, W ) }.
% 19.38/19.76 (40) {G0,W14,D2,L2,V4,M2} I { ! cyclic( X, Y, Z, T ), eqangle( Z, X, Z, Y,
% 19.38/19.76 T, X, T, Y ) }.
% 19.38/19.76 (42) {G0,W18,D2,L3,V4,M3} I { ! eqangle( Z, X, Z, Y, T, X, T, Y ), ! coll(
% 19.38/19.76 Z, T, Y ), cyclic( X, Y, Z, T ) }.
% 19.38/19.76 (43) {G0,W29,D2,L5,V6,M5} I { ! cyclic( X, Y, U, Z ), ! cyclic( X, Y, U, T
% 19.38/19.76 ), ! cyclic( X, Y, U, W ), ! eqangle( U, X, U, Y, W, Z, W, T ), cong( X
% 19.38/19.76 , Y, Z, T ) }.
% 19.38/19.76 (56) {G0,W15,D2,L3,V4,M3} I { ! cong( X, Z, Y, Z ), ! cong( X, T, Y, T ),
% 19.38/19.76 perp( X, Y, Z, T ) }.
% 19.38/19.76 (66) {G0,W9,D2,L2,V3,M2} I { ! para( X, Y, X, Z ), coll( X, Y, Z ) }.
% 19.38/19.76 (121) {G0,W5,D2,L1,V0,M1} I { perp( skol24, skol27, skol20, skol26 ) }.
% 19.38/19.76 (123) {G0,W5,D2,L1,V0,M1} I { ! para( skol23, skol24, skol20, skol22 ) }.
% 19.38/19.76 (190) {G1,W12,D2,L3,V4,M3} R(2,0) { ! coll( X, Y, Z ), ! coll( X, Y, T ),
% 19.38/19.76 coll( Z, X, T ) }.
% 19.38/19.76 (195) {G2,W8,D2,L2,V3,M2} F(190) { ! coll( X, Y, Z ), coll( Z, X, Z ) }.
% 19.38/19.76 (214) {G3,W12,D2,L3,V4,M3} R(195,2) { coll( X, Y, X ), ! coll( X, Z, Y ), !
% 19.38/19.76 coll( X, Z, T ) }.
% 19.38/19.76 (227) {G4,W8,D2,L2,V3,M2} F(214) { coll( X, Y, X ), ! coll( X, Z, Y ) }.
% 19.38/19.76 (233) {G1,W5,D2,L1,V0,M1} R(4,123) { ! para( skol20, skol22, skol23, skol24
% 19.38/19.76 ) }.
% 19.38/19.76 (242) {G1,W15,D2,L3,V6,M3} R(5,4) { ! para( X, Y, Z, T ), para( U, W, Z, T
% 19.38/19.76 ), ! para( X, Y, U, W ) }.
% 19.38/19.76 (254) {G2,W10,D2,L2,V4,M2} F(242) { ! para( X, Y, Z, T ), para( Z, T, Z, T
% 19.38/19.76 ) }.
% 19.38/19.76 (274) {G1,W5,D2,L1,V0,M1} R(7,121) { perp( skol20, skol26, skol24, skol27 )
% 19.38/19.76 }.
% 19.38/19.76 (285) {G1,W15,D2,L3,V6,M3} R(8,7) { ! perp( X, Y, Z, T ), para( U, W, Z, T
% 19.38/19.76 ), ! perp( X, Y, U, W ) }.
% 19.38/19.76 (295) {G1,W10,D2,L2,V2,M2} R(8,121) { ! perp( skol20, skol26, X, Y ), para
% 19.38/19.76 ( skol24, skol27, X, Y ) }.
% 19.38/19.76 (359) {G1,W10,D2,L2,V4,M2} R(14,13) { ! cyclic( X, Y, Z, T ), cyclic( X, Z
% 19.38/19.76 , T, Y ) }.
% 19.38/19.76 (374) {G1,W10,D2,L2,V4,M2} R(15,14) { cyclic( X, Y, Z, T ), ! cyclic( Y, Z
% 19.38/19.76 , X, T ) }.
% 19.38/19.76 (376) {G1,W10,D2,L2,V4,M2} R(15,13) { cyclic( X, Y, Z, T ), ! cyclic( Y, X
% 19.38/19.76 , T, Z ) }.
% 19.38/19.76 (396) {G2,W5,D2,L1,V0,M1} R(274,6) { perp( skol20, skol26, skol27, skol24 )
% 19.38/19.76 }.
% 19.38/19.76 (401) {G1,W15,D2,L3,V5,M3} R(16,15) { ! cyclic( X, Y, Z, T ), ! cyclic( X,
% 19.38/19.76 Y, Z, U ), cyclic( Z, Y, T, U ) }.
% 19.38/19.76 (406) {G1,W15,D2,L3,V5,M3} R(16,13) { ! cyclic( X, Y, Z, T ), cyclic( Y, Z
% 19.38/19.76 , T, U ), ! cyclic( X, Y, U, Z ) }.
% 19.38/19.76 (410) {G2,W10,D2,L2,V4,M2} F(401) { ! cyclic( X, Y, Z, T ), cyclic( Z, Y, T
% 19.38/19.76 , T ) }.
% 19.38/19.76 (483) {G2,W10,D2,L2,V2,M2} R(233,5) { ! para( skol20, skol22, X, Y ), !
% 19.38/19.76 para( X, Y, skol23, skol24 ) }.
% 19.38/19.76 (502) {G5,W8,D2,L2,V3,M2} R(227,0) { ! coll( X, Y, Z ), coll( X, X, Z ) }.
% 19.38/19.76 (819) {G1,W14,D2,L2,V6,M2} R(39,18) { ! para( X, Y, Z, T ), eqangle( U, W,
% 19.38/19.76 X, Y, U, W, Z, T ) }.
% 19.38/19.76 (874) {G1,W18,D2,L3,V4,M3} R(42,19) { ! coll( X, Y, Z ), cyclic( T, Z, X, Y
% 19.38/19.76 ), ! eqangle( Y, T, Y, Z, X, T, X, Z ) }.
% 19.38/19.76 (947) {G1,W20,D2,L4,V4,M4} R(43,40);f { ! cyclic( X, Y, Z, X ), ! cyclic( X
% 19.38/19.76 , Y, Z, Y ), ! cyclic( X, Y, Z, T ), cong( X, Y, X, Y ) }.
% 19.38/19.76 (979) {G2,W15,D2,L3,V3,M3} F(947) { ! cyclic( X, Y, Z, X ), ! cyclic( X, Y
% 19.38/19.76 , Z, Y ), cong( X, Y, X, Y ) }.
% 19.38/19.76 (17266) {G3,W5,D2,L1,V0,M1} R(295,396) { para( skol24, skol27, skol27,
% 19.38/19.76 skol24 ) }.
% 19.38/19.76 (17497) {G4,W5,D2,L1,V0,M1} R(17266,254) { para( skol27, skol24, skol27,
% 19.38/19.76 skol24 ) }.
% 19.38/19.76 (17507) {G5,W4,D2,L1,V0,M1} R(17497,66) { coll( skol27, skol24, skol24 )
% 19.38/19.76 }.
% 19.38/19.76 (17525) {G6,W4,D2,L1,V0,M1} R(17507,502) { coll( skol27, skol27, skol24 )
% 19.38/19.76 }.
% 19.38/19.76 (50624) {G5,W9,D2,L1,V2,M1} R(819,17497) { eqangle( X, Y, skol27, skol24, X
% 19.38/19.76 , Y, skol27, skol24 ) }.
% 19.38/19.76 (53796) {G7,W5,D2,L1,V1,M1} R(874,17525);r(50624) { cyclic( X, skol24,
% 19.38/19.76 skol27, skol27 ) }.
% 19.38/19.76 (54017) {G8,W5,D2,L1,V1,M1} R(53796,376) { cyclic( skol24, X, skol27,
% 19.38/19.76 skol27 ) }.
% 19.38/19.76 (54029) {G9,W5,D2,L1,V1,M1} R(54017,410) { cyclic( skol27, X, skol27,
% 19.38/19.76 skol27 ) }.
% 19.38/19.76 (54051) {G10,W5,D2,L1,V1,M1} R(54029,374) { cyclic( skol27, skol27, X,
% 19.38/19.76 skol27 ) }.
% 19.38/19.76 (54052) {G10,W5,D2,L1,V1,M1} R(54029,359) { cyclic( skol27, skol27, skol27
% 19.38/19.76 , X ) }.
% 19.38/19.76 (54057) {G11,W5,D2,L1,V2,M1} R(54051,406);r(54052) { cyclic( skol27, skol27
% 19.38/19.76 , X, Y ) }.
% 19.38/19.76 (54344) {G12,W5,D2,L1,V3,M1} R(54057,406);r(54057) { cyclic( skol27, X, Y,
% 19.38/19.76 Z ) }.
% 19.38/19.76 (54363) {G13,W5,D2,L1,V4,M1} R(54344,406);r(54344) { cyclic( X, Y, Z, T )
% 19.38/19.76 }.
% 19.38/19.76 (59527) {G14,W5,D2,L1,V2,M1} S(979);r(54363);r(54363) { cong( X, Y, X, Y )
% 19.38/19.76 }.
% 19.38/19.76 (59544) {G15,W5,D2,L1,V3,M1} R(59527,56);r(59527) { perp( X, X, Z, Y ) }.
% 19.38/19.76 (59581) {G16,W5,D2,L1,V4,M1} R(59544,285);r(59544) { para( X, Y, Z, T ) }.
% 19.38/19.76 (59777) {G17,W0,D0,L0,V0,M0} R(59581,483);r(59581) { }.
% 19.38/19.76
% 19.38/19.76
% 19.38/19.76 % SZS output end Refutation
% 19.38/19.76 found a proof!
% 19.38/19.76
% 19.38/19.76
% 19.38/19.76 Unprocessed initial clauses:
% 19.38/19.76
% 19.38/19.76 (59779) {G0,W8,D2,L2,V3,M2} { ! coll( X, Y, Z ), coll( X, Z, Y ) }.
% 19.38/19.76 (59780) {G0,W8,D2,L2,V3,M2} { ! coll( X, Y, Z ), coll( Y, X, Z ) }.
% 19.38/19.76 (59781) {G0,W12,D2,L3,V4,M3} { ! coll( X, T, Y ), ! coll( X, T, Z ), coll
% 19.38/19.76 ( Y, Z, X ) }.
% 19.38/19.76 (59782) {G0,W10,D2,L2,V4,M2} { ! para( X, Y, Z, T ), para( X, Y, T, Z )
% 19.38/19.76 }.
% 19.38/19.76 (59783) {G0,W10,D2,L2,V4,M2} { ! para( X, Y, Z, T ), para( Z, T, X, Y )
% 19.38/19.76 }.
% 19.38/19.76 (59784) {G0,W15,D2,L3,V6,M3} { ! para( X, Y, U, W ), ! para( U, W, Z, T )
% 19.38/19.76 , para( X, Y, Z, T ) }.
% 19.38/19.76 (59785) {G0,W10,D2,L2,V4,M2} { ! perp( X, Y, Z, T ), perp( X, Y, T, Z )
% 19.38/19.76 }.
% 19.38/19.76 (59786) {G0,W10,D2,L2,V4,M2} { ! perp( X, Y, Z, T ), perp( Z, T, X, Y )
% 19.38/19.76 }.
% 19.38/19.76 (59787) {G0,W15,D2,L3,V6,M3} { ! perp( X, Y, U, W ), ! perp( U, W, Z, T )
% 19.38/19.76 , para( X, Y, Z, T ) }.
% 19.38/19.76 (59788) {G0,W15,D2,L3,V6,M3} { ! para( X, Y, U, W ), ! perp( U, W, Z, T )
% 19.38/19.76 , perp( X, Y, Z, T ) }.
% 19.38/19.76 (59789) {G0,W8,D2,L2,V3,M2} { ! midp( Z, Y, X ), midp( Z, X, Y ) }.
% 19.38/19.76 (59790) {G0,W15,D2,L3,V4,M3} { ! cong( T, X, T, Y ), ! cong( T, X, T, Z )
% 19.38/19.76 , circle( T, X, Y, Z ) }.
% 19.38/19.76 (59791) {G0,W20,D2,L4,V5,M4} { ! cong( U, X, U, Y ), ! cong( U, X, U, Z )
% 19.38/19.76 , ! cong( U, X, U, T ), cyclic( X, Y, Z, T ) }.
% 19.38/19.76 (59792) {G0,W10,D2,L2,V4,M2} { ! cyclic( X, Y, Z, T ), cyclic( X, Y, T, Z
% 19.38/19.76 ) }.
% 19.38/19.76 (59793) {G0,W10,D2,L2,V4,M2} { ! cyclic( X, Y, Z, T ), cyclic( X, Z, Y, T
% 19.38/19.76 ) }.
% 19.38/19.76 (59794) {G0,W10,D2,L2,V4,M2} { ! cyclic( X, Y, Z, T ), cyclic( Y, X, Z, T
% 19.38/19.76 ) }.
% 19.38/19.76 (59795) {G0,W15,D2,L3,V5,M3} { ! cyclic( U, X, Y, Z ), ! cyclic( U, X, Y,
% 19.38/19.76 T ), cyclic( X, Y, Z, T ) }.
% 19.38/19.76 (59796) {G0,W18,D2,L2,V8,M2} { ! eqangle( X, Y, Z, T, U, W, V0, V1 ),
% 19.38/19.76 eqangle( Y, X, Z, T, U, W, V0, V1 ) }.
% 19.38/19.76 (59797) {G0,W18,D2,L2,V8,M2} { ! eqangle( X, Y, Z, T, U, W, V0, V1 ),
% 19.38/19.76 eqangle( Z, T, X, Y, V0, V1, U, W ) }.
% 19.38/19.76 (59798) {G0,W18,D2,L2,V8,M2} { ! eqangle( X, Y, Z, T, U, W, V0, V1 ),
% 19.38/19.76 eqangle( U, W, V0, V1, X, Y, Z, T ) }.
% 19.38/19.76 (59799) {G0,W18,D2,L2,V8,M2} { ! eqangle( X, Y, Z, T, U, W, V0, V1 ),
% 19.38/19.76 eqangle( X, Y, U, W, Z, T, V0, V1 ) }.
% 19.38/19.76 (59800) {G0,W27,D2,L3,V12,M3} { ! eqangle( X, Y, Z, T, V2, V3, V4, V5 ), !
% 19.38/19.76 eqangle( V2, V3, V4, V5, U, W, V0, V1 ), eqangle( X, Y, Z, T, U, W, V0,
% 19.38/19.76 V1 ) }.
% 19.38/19.76 (59801) {G0,W10,D2,L2,V4,M2} { ! cong( X, Y, Z, T ), cong( X, Y, T, Z )
% 19.38/19.76 }.
% 19.38/19.76 (59802) {G0,W10,D2,L2,V4,M2} { ! cong( X, Y, Z, T ), cong( Z, T, X, Y )
% 19.38/19.76 }.
% 19.38/19.76 (59803) {G0,W15,D2,L3,V6,M3} { ! cong( X, Y, U, W ), ! cong( U, W, Z, T )
% 19.38/19.76 , cong( X, Y, Z, T ) }.
% 19.38/19.76 (59804) {G0,W18,D2,L2,V8,M2} { ! eqratio( X, Y, Z, T, U, W, V0, V1 ),
% 19.38/19.76 eqratio( Y, X, Z, T, U, W, V0, V1 ) }.
% 19.38/19.76 (59805) {G0,W18,D2,L2,V8,M2} { ! eqratio( X, Y, Z, T, U, W, V0, V1 ),
% 19.38/19.76 eqratio( Z, T, X, Y, V0, V1, U, W ) }.
% 19.38/19.76 (59806) {G0,W18,D2,L2,V8,M2} { ! eqratio( X, Y, Z, T, U, W, V0, V1 ),
% 19.38/19.76 eqratio( U, W, V0, V1, X, Y, Z, T ) }.
% 19.38/19.76 (59807) {G0,W18,D2,L2,V8,M2} { ! eqratio( X, Y, Z, T, U, W, V0, V1 ),
% 19.38/19.76 eqratio( X, Y, U, W, Z, T, V0, V1 ) }.
% 19.38/19.76 (59808) {G0,W27,D2,L3,V12,M3} { ! eqratio( X, Y, Z, T, V2, V3, V4, V5 ), !
% 19.38/19.76 eqratio( V2, V3, V4, V5, U, W, V0, V1 ), eqratio( X, Y, Z, T, U, W, V0,
% 19.38/19.76 V1 ) }.
% 19.38/19.76 (59809) {G0,W14,D2,L2,V6,M2} { ! simtri( X, Z, Y, T, W, U ), simtri( X, Y
% 19.38/19.76 , Z, T, U, W ) }.
% 19.38/19.76 (59810) {G0,W14,D2,L2,V6,M2} { ! simtri( Y, X, Z, U, T, W ), simtri( X, Y
% 19.38/19.76 , Z, T, U, W ) }.
% 19.38/19.76 (59811) {G0,W14,D2,L2,V6,M2} { ! simtri( T, U, W, X, Y, Z ), simtri( X, Y
% 19.38/19.76 , Z, T, U, W ) }.
% 19.38/19.76 (59812) {G0,W21,D2,L3,V9,M3} { ! simtri( X, Y, Z, V0, V1, V2 ), ! simtri(
% 19.38/19.76 V0, V1, V2, T, U, W ), simtri( X, Y, Z, T, U, W ) }.
% 19.38/19.76 (59813) {G0,W14,D2,L2,V6,M2} { ! contri( X, Z, Y, T, W, U ), contri( X, Y
% 19.38/19.76 , Z, T, U, W ) }.
% 19.38/19.76 (59814) {G0,W14,D2,L2,V6,M2} { ! contri( Y, X, Z, U, T, W ), contri( X, Y
% 19.38/19.76 , Z, T, U, W ) }.
% 19.38/19.76 (59815) {G0,W14,D2,L2,V6,M2} { ! contri( T, U, W, X, Y, Z ), contri( X, Y
% 19.38/19.76 , Z, T, U, W ) }.
% 19.38/19.76 (59816) {G0,W21,D2,L3,V9,M3} { ! contri( X, Y, Z, V0, V1, V2 ), ! contri(
% 19.38/19.76 V0, V1, V2, T, U, W ), contri( X, Y, Z, T, U, W ) }.
% 19.38/19.76 (59817) {G0,W14,D2,L2,V6,M2} { ! eqangle( X, Y, U, W, Z, T, U, W ), para(
% 19.38/19.76 X, Y, Z, T ) }.
% 19.38/19.76 (59818) {G0,W14,D2,L2,V6,M2} { ! para( X, Y, Z, T ), eqangle( X, Y, U, W,
% 19.38/19.76 Z, T, U, W ) }.
% 19.38/19.76 (59819) {G0,W14,D2,L2,V4,M2} { ! cyclic( X, Y, Z, T ), eqangle( Z, X, Z, Y
% 19.38/19.76 , T, X, T, Y ) }.
% 19.38/19.76 (59820) {G0,W18,D2,L3,V4,M3} { ! eqangle( Z, X, Z, Y, T, X, T, Y ), coll(
% 19.38/19.76 Z, T, X ), cyclic( X, Y, Z, T ) }.
% 19.38/19.76 (59821) {G0,W18,D2,L3,V4,M3} { ! eqangle( Z, X, Z, Y, T, X, T, Y ), ! coll
% 19.38/19.76 ( Z, T, Y ), cyclic( X, Y, Z, T ) }.
% 19.38/19.76 (59822) {G0,W29,D2,L5,V6,M5} { ! cyclic( X, Y, U, Z ), ! cyclic( X, Y, U,
% 19.38/19.76 T ), ! cyclic( X, Y, U, W ), ! eqangle( U, X, U, Y, W, Z, W, T ), cong( X
% 19.38/19.76 , Y, Z, T ) }.
% 19.38/19.76 (59823) {G0,W13,D2,L3,V5,M3} { ! midp( Z, U, X ), ! midp( T, U, Y ), para
% 19.38/19.76 ( Z, T, X, Y ) }.
% 19.38/19.76 (59824) {G0,W17,D2,L4,V5,M4} { ! midp( U, X, T ), ! para( U, Z, T, Y ), !
% 19.38/19.76 coll( Z, X, Y ), midp( Z, X, Y ) }.
% 19.38/19.76 (59825) {G0,W14,D2,L2,V3,M2} { ! cong( Z, X, Z, Y ), eqangle( Z, X, X, Y,
% 19.38/19.76 X, Y, Z, Y ) }.
% 19.38/19.76 (59826) {G0,W18,D2,L3,V3,M3} { ! eqangle( Z, X, X, Y, X, Y, Z, Y ), coll(
% 19.38/19.76 Z, X, Y ), cong( Z, X, Z, Y ) }.
% 19.38/19.76 (59827) {G0,W19,D2,L3,V5,M3} { ! circle( U, X, Y, Z ), ! perp( U, X, X, T
% 19.38/19.76 ), eqangle( X, T, X, Y, Z, X, Z, Y ) }.
% 19.38/19.76 (59828) {G0,W19,D2,L3,V5,M3} { ! circle( Y, X, T, U ), ! eqangle( X, Z, X
% 19.38/19.76 , T, U, X, U, T ), perp( Y, X, X, Z ) }.
% 19.38/19.76 (59829) {G0,W18,D2,L3,V5,M3} { ! circle( T, X, Y, Z ), ! midp( U, Y, Z ),
% 19.38/19.76 eqangle( X, Y, X, Z, T, Y, T, U ) }.
% 19.38/19.76 (59830) {G0,W22,D2,L4,V5,M4} { ! circle( U, T, X, Y ), ! coll( Z, X, Y ),
% 19.38/19.76 ! eqangle( T, X, T, Y, U, X, U, Z ), midp( Z, X, Y ) }.
% 19.38/19.76 (59831) {G0,W14,D2,L3,V4,M3} { ! perp( X, Y, Y, T ), ! midp( Z, X, T ),
% 19.38/19.76 cong( X, Z, Y, Z ) }.
% 19.38/19.76 (59832) {G0,W14,D2,L3,V4,M3} { ! circle( T, X, Y, Z ), ! coll( T, X, Z ),
% 19.38/19.76 perp( X, Y, Y, Z ) }.
% 19.38/19.76 (59833) {G0,W19,D2,L3,V4,M3} { ! cyclic( X, Y, Z, T ), ! para( X, Y, Z, T
% 19.38/19.76 ), eqangle( X, T, Z, T, Z, T, Z, Y ) }.
% 19.38/19.76 (59834) {G0,W14,D2,L3,V4,M3} { ! midp( T, X, Y ), ! perp( Z, T, X, Y ),
% 19.38/19.76 cong( Z, X, Z, Y ) }.
% 19.38/19.76 (59835) {G0,W15,D2,L3,V4,M3} { ! cong( X, Z, Y, Z ), ! cong( X, T, Y, T )
% 19.38/19.76 , perp( X, Y, Z, T ) }.
% 19.38/19.76 (59836) {G0,W20,D2,L4,V4,M4} { ! cong( X, Y, T, Y ), ! cong( X, Z, T, Z )
% 19.38/19.76 , ! cyclic( X, T, Y, Z ), perp( Y, X, X, Z ) }.
% 19.38/19.76 (59837) {G0,W29,D2,L4,V6,M4} { ! eqangle( X, Y, Y, Z, T, U, U, W ), !
% 19.38/19.76 eqangle( X, Z, Y, Z, T, W, U, W ), coll( X, Y, Z ), simtri( X, Y, Z, T, U
% 19.38/19.76 , W ) }.
% 19.38/19.76 (59838) {G0,W16,D2,L2,V6,M2} { ! simtri( X, Y, Z, T, U, W ), eqratio( X, Y
% 19.38/19.76 , X, Z, T, U, T, W ) }.
% 19.38/19.76 (59839) {G0,W16,D2,L2,V6,M2} { ! simtri( X, Y, Z, T, U, W ), eqangle( X, Y
% 19.38/19.76 , Y, Z, T, U, U, W ) }.
% 19.38/19.76 (59840) {G0,W19,D2,L3,V6,M3} { ! simtri( X, Y, Z, T, U, W ), ! cong( X, Y
% 19.38/19.76 , T, U ), contri( X, Y, Z, T, U, W ) }.
% 19.38/19.76 (59841) {G0,W12,D2,L2,V6,M2} { ! contri( X, Y, U, Z, T, W ), cong( X, Y, Z
% 19.38/19.76 , T ) }.
% 19.38/19.76 (59842) {G0,W13,D2,L3,V5,M3} { ! midp( U, X, Y ), ! midp( U, Z, T ), para
% 19.38/19.76 ( X, Z, Y, T ) }.
% 19.38/19.76 (59843) {G0,W18,D2,L4,V5,M4} { ! midp( Z, T, U ), ! para( T, X, U, Y ), !
% 19.38/19.76 para( T, Y, U, X ), midp( Z, X, Y ) }.
% 19.38/19.76 (59844) {G0,W22,D2,L4,V5,M4} { ! para( X, Y, Z, T ), ! coll( U, X, Z ), !
% 19.38/19.76 coll( U, Y, T ), eqratio( U, X, X, Z, U, Y, Y, T ) }.
% 19.38/19.76 (59845) {G0,W9,D2,L2,V3,M2} { ! para( X, Y, X, Z ), coll( X, Y, Z ) }.
% 19.38/19.76 (59846) {G0,W13,D2,L3,V3,M3} { ! cong( X, Y, X, Z ), ! coll( X, Y, Z ),
% 19.38/19.76 midp( X, Y, Z ) }.
% 19.38/19.76 (59847) {G0,W9,D2,L2,V3,M2} { ! midp( X, Y, Z ), cong( X, Y, X, Z ) }.
% 19.38/19.76 (59848) {G0,W8,D2,L2,V3,M2} { ! midp( X, Y, Z ), coll( X, Y, Z ) }.
% 19.38/19.76 (59849) {G0,W17,D2,L3,V6,M3} { ! midp( U, X, Y ), ! midp( W, Z, T ),
% 19.38/19.76 eqratio( U, X, X, Y, W, Z, Z, T ) }.
% 19.38/19.76 (59850) {G0,W19,D2,L3,V4,M3} { ! eqangle( X, Y, Z, T, Z, T, X, Y ), para(
% 19.38/19.76 X, Y, Z, T ), perp( X, Y, Z, T ) }.
% 19.38/19.76 (59851) {G0,W19,D2,L3,V4,M3} { ! eqangle( X, Y, Z, T, Z, T, X, Y ), perp(
% 19.38/19.76 X, Y, Z, T ), para( X, Y, Z, T ) }.
% 19.38/19.76 (59852) {G0,W19,D2,L3,V8,M3} { ! eqangle( X, Y, Z, T, U, W, V0, V1 ), !
% 19.38/19.76 para( U, W, V0, V1 ), para( X, Y, Z, T ) }.
% 19.38/19.76 (59853) {G0,W19,D2,L3,V8,M3} { ! eqangle( X, Y, Z, T, U, W, V0, V1 ), !
% 19.38/19.76 perp( U, W, V0, V1 ), perp( X, Y, Z, T ) }.
% 19.38/19.76 (59854) {G0,W19,D2,L3,V8,M3} { ! eqratio( X, Y, Z, T, U, W, V0, V1 ), !
% 19.38/19.76 cong( U, W, V0, V1 ), cong( X, Y, Z, T ) }.
% 19.38/19.76 (59855) {G0,W22,D3,L3,V6,M3} { ! perp( Z, Y, Y, X ), ! eqangle( T, Z, Y, Z
% 19.38/19.76 , Y, Z, X, Z ), coll( skol1( U, W, Z, T ), Z, T ) }.
% 19.38/19.76 (59856) {G0,W22,D3,L3,V4,M3} { ! perp( Z, Y, Y, X ), ! eqangle( T, Z, Y, Z
% 19.38/19.76 , Y, Z, X, Z ), coll( skol1( X, Y, Z, T ), X, Y ) }.
% 19.38/19.76 (59857) {G0,W22,D3,L3,V6,M3} { ! cong( Z, X, Z, Y ), ! eqangle( X, Z, Z, T
% 19.38/19.76 , Z, T, Z, Y ), coll( skol2( U, W, Z, T ), Z, T ) }.
% 19.38/19.76 (59858) {G0,W22,D3,L3,V4,M3} { ! cong( Z, X, Z, Y ), ! eqangle( X, Z, Z, T
% 19.38/19.76 , Z, T, Z, Y ), coll( Y, X, skol2( X, Y, Z, T ) ) }.
% 19.38/19.76 (59859) {G0,W22,D3,L3,V6,M3} { ! perp( Z, T, X, Y ), ! eqangle( X, Z, Z, T
% 19.38/19.76 , Z, T, Z, Y ), coll( skol3( U, W, Z, T ), Z, T ) }.
% 19.38/19.76 (59860) {G0,W22,D3,L3,V4,M3} { ! perp( Z, T, X, Y ), ! eqangle( X, Z, Z, T
% 19.38/19.76 , Z, T, Z, Y ), coll( Y, X, skol3( X, Y, Z, T ) ) }.
% 19.38/19.76 (59861) {G0,W18,D3,L3,V6,M3} { ! perp( Z, T, X, Y ), ! cong( Z, X, Z, Y )
% 19.38/19.76 , coll( skol4( U, W, Z, T ), Z, T ) }.
% 19.38/19.76 (59862) {G0,W18,D3,L3,V4,M3} { ! perp( Z, T, X, Y ), ! cong( Z, X, Z, Y )
% 19.38/19.76 , coll( Y, X, skol4( X, Y, Z, T ) ) }.
% 19.38/19.76 (59863) {G0,W22,D3,L3,V6,M3} { ! eqangle( X, Z, Y, Z, X, T, Y, U ), coll(
% 19.38/19.76 X, Y, Z ), cyclic( T, Y, Z, skol5( W, Y, Z, T ) ) }.
% 19.38/19.76 (59864) {G0,W30,D3,L3,V5,M3} { ! eqangle( X, Z, Y, Z, X, T, Y, U ), coll(
% 19.38/19.76 X, Y, Z ), eqangle( X, Z, Y, Z, X, skol5( X, Y, Z, T ), Y, skol5( X, Y, Z
% 19.38/19.76 , T ) ) }.
% 19.38/19.76 (59865) {G0,W18,D3,L3,V10,M3} { ! midp( U, X, Y ), ! midp( W, Z, T ), midp
% 19.38/19.76 ( skol6( X, V0, V1, T, V2, V3 ), X, T ) }.
% 19.38/19.76 (59866) {G0,W19,D3,L3,V8,M3} { ! midp( U, X, Y ), ! midp( W, Z, T ), para
% 19.38/19.76 ( skol6( X, V0, Z, T, V1, W ), W, X, Z ) }.
% 19.38/19.76 (59867) {G0,W19,D3,L3,V6,M3} { ! midp( U, X, Y ), ! midp( W, Z, T ), para
% 19.38/19.76 ( skol6( X, Y, Z, T, U, W ), U, Y, T ) }.
% 19.38/19.76 (59868) {G0,W22,D3,L5,V7,M5} { ! midp( Z, X, Y ), ! midp( W, T, U ), !
% 19.38/19.76 coll( T, X, Y ), ! coll( U, X, Y ), midp( skol7( X, V0 ), X, V0 ) }.
% 19.38/19.76 (59869) {G0,W26,D3,L5,V8,M5} { ! midp( T, X, U ), ! para( X, W, Z, T ), !
% 19.38/19.76 para( X, W, U, Y ), ! coll( W, Y, Z ), coll( skol8( V0, V1, Z, T ), T, Z
% 19.38/19.76 ) }.
% 19.38/19.76 (59870) {G0,W26,D3,L5,V6,M5} { ! midp( T, X, U ), ! para( X, W, Z, T ), !
% 19.38/19.76 para( X, W, U, Y ), ! coll( W, Y, Z ), coll( skol8( X, Y, Z, T ), X, Y )
% 19.38/19.76 }.
% 19.38/19.76 (59871) {G0,W19,D3,L3,V7,M3} { ! cong( T, Z, T, U ), ! perp( X, Y, Y, T )
% 19.38/19.76 , cong( T, Z, T, skol9( W, V0, Z, T ) ) }.
% 19.38/19.76 (59872) {G0,W19,D3,L3,V6,M3} { ! cong( T, Z, T, U ), ! perp( X, Y, Y, T )
% 19.38/19.76 , cong( Y, Z, Y, skol9( W, Y, Z, T ) ) }.
% 19.38/19.76 (59873) {G0,W19,D3,L3,V5,M3} { ! cong( T, Z, T, U ), ! perp( X, Y, Y, T )
% 19.38/19.76 , para( skol9( X, Y, Z, T ), Z, X, Y ) }.
% 19.38/19.76 (59874) {G0,W17,D3,L3,V5,M3} { ! perp( X, T, Y, Z ), ! perp( Y, T, X, Z )
% 19.38/19.76 , coll( skol10( U, Y, Z ), Z, Y ) }.
% 19.38/19.76 (59875) {G0,W18,D3,L3,V4,M3} { ! perp( X, T, Y, Z ), ! perp( Y, T, X, Z )
% 19.38/19.76 , perp( X, skol10( X, Y, Z ), Z, Y ) }.
% 19.38/19.76 (59876) {G0,W14,D2,L3,V4,M3} { ! perp( X, T, Y, Z ), ! perp( Y, T, X, Z )
% 19.38/19.76 , alpha1( X, Y, Z ) }.
% 19.38/19.76 (59877) {G0,W11,D3,L2,V4,M2} { ! alpha1( X, Y, Z ), coll( skol11( X, T, Z
% 19.38/19.76 ), Z, X ) }.
% 19.38/19.76 (59878) {G0,W12,D3,L2,V3,M2} { ! alpha1( X, Y, Z ), perp( Y, skol11( X, Y
% 19.38/19.76 , Z ), Z, X ) }.
% 19.38/19.76 (59879) {G0,W13,D2,L3,V4,M3} { ! coll( T, Z, X ), ! perp( Y, T, Z, X ),
% 19.38/19.76 alpha1( X, Y, Z ) }.
% 19.38/19.76 (59880) {G0,W12,D3,L2,V4,M2} { ! circle( Y, X, Z, T ), perp( skol12( X, Y
% 19.38/19.76 ), X, X, Y ) }.
% 19.38/19.76 (59881) {G0,W28,D3,L5,V8,M5} { ! circle( W, X, Y, Z ), ! cong( W, X, W, T
% 19.38/19.76 ), ! cong( U, X, U, Y ), W = U, alpha2( X, Z, U, skol13( X, V0, Z, V1, U
% 19.38/19.76 ) ) }.
% 19.38/19.76 (59882) {G0,W26,D3,L5,V8,M5} { ! circle( W, X, Y, Z ), ! cong( W, X, W, T
% 19.38/19.76 ), ! cong( U, X, U, Y ), W = U, coll( skol21( V0, Y, T, V1 ), Y, T ) }.
% 19.38/19.76 (59883) {G0,W27,D3,L5,V6,M5} { ! circle( W, X, Y, Z ), ! cong( W, X, W, T
% 19.38/19.76 ), ! cong( U, X, U, Y ), W = U, cong( skol21( X, Y, T, U ), U, U, X )
% 19.38/19.76 }.
% 19.38/19.76 (59884) {G0,W9,D2,L2,V4,M2} { ! alpha2( X, Y, Z, T ), coll( T, X, Y ) }.
% 19.38/19.76 (59885) {G0,W10,D2,L2,V4,M2} { ! alpha2( X, Y, Z, T ), cong( T, Z, Z, X )
% 19.38/19.76 }.
% 19.38/19.76 (59886) {G0,W14,D2,L3,V4,M3} { ! coll( T, X, Y ), ! cong( T, Z, Z, X ),
% 19.38/19.76 alpha2( X, Y, Z, T ) }.
% 19.38/19.76 (59887) {G0,W22,D3,L4,V5,M4} { ! cyclic( X, Y, Z, T ), ! para( X, Y, Z, T
% 19.38/19.76 ), ! midp( U, X, Y ), circle( skol14( X, Y, Z ), X, Y, Z ) }.
% 19.38/19.76 (59888) {G0,W18,D3,L3,V4,M3} { ! perp( X, Z, Z, Y ), ! cyclic( X, Y, Z, T
% 19.38/19.76 ), circle( skol15( X, Y, Z ), X, Y, Z ) }.
% 19.38/19.76 (59889) {G0,W16,D3,L3,V6,M3} { ! perp( X, U, U, T ), ! coll( T, Y, Z ),
% 19.38/19.76 coll( skol16( W, Y, Z ), Y, Z ) }.
% 19.38/19.76 (59890) {G0,W17,D3,L3,V5,M3} { ! perp( X, U, U, T ), ! coll( T, Y, Z ),
% 19.38/19.76 perp( skol16( X, Y, Z ), X, Y, Z ) }.
% 19.38/19.76 (59891) {G0,W20,D3,L4,V5,M4} { ! perp( X, Z, X, Y ), ! perp( Y, X, Y, T )
% 19.38/19.76 , ! midp( U, Z, T ), midp( skol17( X, Y ), X, Y ) }.
% 19.38/19.76 (59892) {G0,W16,D3,L3,V3,M3} { ! cong( Y, X, Y, Z ), ! perp( X, Y, Y, Z )
% 19.38/19.76 , coll( X, Y, skol18( X, Y ) ) }.
% 19.38/19.76 (59893) {G0,W17,D3,L3,V3,M3} { ! cong( Y, X, Y, Z ), ! perp( X, Y, Y, Z )
% 19.38/19.76 , cong( Y, X, Y, skol18( X, Y ) ) }.
% 19.38/19.76 (59894) {G0,W25,D3,L5,V8,M5} { ! para( U, W, X, Y ), ! coll( Z, U, X ), !
% 19.38/19.76 coll( Z, W, Y ), ! coll( T, U, W ), coll( Z, T, skol19( V0, V1, Z, T ) )
% 19.38/19.76 }.
% 19.38/19.76 (59895) {G0,W25,D3,L5,V6,M5} { ! para( U, W, X, Y ), ! coll( Z, U, X ), !
% 19.38/19.76 coll( Z, W, Y ), ! coll( T, U, W ), coll( skol19( X, Y, Z, T ), X, Y )
% 19.38/19.76 }.
% 19.38/19.76 (59896) {G0,W5,D2,L1,V0,M1} { circle( skol22, skol20, skol25, skol26 ) }.
% 19.38/19.76 (59897) {G0,W5,D2,L1,V0,M1} { para( skol25, skol26, skol27, skol20 ) }.
% 19.38/19.76 (59898) {G0,W5,D2,L1,V0,M1} { circle( skol22, skol20, skol27, skol28 ) }.
% 19.38/19.76 (59899) {G0,W5,D2,L1,V0,M1} { perp( skol23, skol27, skol20, skol25 ) }.
% 19.38/19.76 (59900) {G0,W4,D2,L1,V0,M1} { coll( skol23, skol20, skol25 ) }.
% 19.38/19.76 (59901) {G0,W5,D2,L1,V0,M1} { perp( skol24, skol27, skol20, skol26 ) }.
% 19.38/19.76 (59902) {G0,W4,D2,L1,V0,M1} { coll( skol24, skol20, skol26 ) }.
% 19.38/19.76 (59903) {G0,W5,D2,L1,V0,M1} { ! para( skol23, skol24, skol20, skol22 ) }.
% 19.38/19.76
% 19.38/19.76
% 19.38/19.76 Total Proof:
% 19.38/19.76
% 19.38/19.76 subsumption: (0) {G0,W8,D2,L2,V3,M2} I { ! coll( X, Y, Z ), coll( X, Z, Y )
% 19.38/19.76 }.
% 19.38/19.76 parent0: (59779) {G0,W8,D2,L2,V3,M2} { ! coll( X, Y, Z ), coll( X, Z, Y )
% 19.38/19.76 }.
% 19.38/19.76 substitution0:
% 19.38/19.76 X := X
% 19.38/19.76 Y := Y
% 19.38/19.76 Z := Z
% 19.38/19.76 end
% 19.38/19.76 permutation0:
% 19.38/19.76 0 ==> 0
% 19.38/19.76 1 ==> 1
% 19.38/19.76 end
% 19.38/19.76
% 19.38/19.76 subsumption: (2) {G0,W12,D2,L3,V4,M3} I { ! coll( X, T, Y ), ! coll( X, T,
% 19.38/19.76 Z ), coll( Y, Z, X ) }.
% 19.38/19.76 parent0: (59781) {G0,W12,D2,L3,V4,M3} { ! coll( X, T, Y ), ! coll( X, T, Z
% 19.38/19.76 ), coll( Y, Z, X ) }.
% 19.38/19.76 substitution0:
% 19.38/19.76 X := X
% 19.38/19.76 Y := Y
% 19.38/19.76 Z := Z
% 19.38/19.76 T := T
% 19.38/19.76 end
% 19.38/19.76 permutation0:
% 19.38/19.76 0 ==> 0
% 19.38/19.76 1 ==> 1
% 19.38/19.76 2 ==> 2
% 19.38/19.76 end
% 19.38/19.76
% 19.38/19.76 subsumption: (4) {G0,W10,D2,L2,V4,M2} I { ! para( X, Y, Z, T ), para( Z, T
% 19.38/19.76 , X, Y ) }.
% 19.38/19.76 parent0: (59783) {G0,W10,D2,L2,V4,M2} { ! para( X, Y, Z, T ), para( Z, T,
% 19.38/19.76 X, Y ) }.
% 19.38/19.76 substitution0:
% 19.38/19.76 X := X
% 19.38/19.76 Y := Y
% 19.38/19.76 Z := Z
% 19.38/19.76 T := T
% 19.38/19.76 end
% 19.38/19.76 permutation0:
% 19.38/19.76 0 ==> 0
% 19.38/19.76 1 ==> 1
% 19.38/19.76 end
% 19.38/19.76
% 19.38/19.76 subsumption: (5) {G0,W15,D2,L3,V6,M3} I { ! para( X, Y, U, W ), ! para( U,
% 19.38/19.76 W, Z, T ), para( X, Y, Z, T ) }.
% 19.38/19.76 parent0: (59784) {G0,W15,D2,L3,V6,M3} { ! para( X, Y, U, W ), ! para( U, W
% 19.38/19.76 , Z, T ), para( X, Y, Z, T ) }.
% 19.38/19.76 substitution0:
% 19.38/19.76 X := X
% 19.38/19.76 Y := Y
% 19.38/19.76 Z := Z
% 19.38/19.76 T := T
% 19.38/19.76 U := U
% 19.38/19.76 W := W
% 19.38/19.76 end
% 19.38/19.76 permutation0:
% 19.38/19.76 0 ==> 0
% 19.38/19.76 1 ==> 1
% 19.38/19.76 2 ==> 2
% 19.38/19.76 end
% 19.38/19.76
% 19.38/19.76 subsumption: (6) {G0,W10,D2,L2,V4,M2} I { ! perp( X, Y, Z, T ), perp( X, Y
% 19.38/19.76 , T, Z ) }.
% 19.38/19.76 parent0: (59785) {G0,W10,D2,L2,V4,M2} { ! perp( X, Y, Z, T ), perp( X, Y,
% 19.38/19.76 T, Z ) }.
% 19.38/19.76 substitution0:
% 19.38/19.76 X := X
% 19.38/19.76 Y := Y
% 19.38/19.76 Z := Z
% 19.38/19.76 T := T
% 19.38/19.76 end
% 19.38/19.76 permutation0:
% 19.38/19.76 0 ==> 0
% 19.38/19.76 1 ==> 1
% 19.38/19.76 end
% 19.38/19.76
% 19.38/19.76 subsumption: (7) {G0,W10,D2,L2,V4,M2} I { ! perp( X, Y, Z, T ), perp( Z, T
% 19.38/19.76 , X, Y ) }.
% 19.38/19.76 parent0: (59786) {G0,W10,D2,L2,V4,M2} { ! perp( X, Y, Z, T ), perp( Z, T,
% 19.38/19.76 X, Y ) }.
% 19.38/19.76 substitution0:
% 19.38/19.76 X := X
% 19.38/19.76 Y := Y
% 19.38/19.76 Z := Z
% 19.38/19.76 T := T
% 19.38/19.76 end
% 19.38/19.76 permutation0:
% 19.38/19.76 0 ==> 0
% 19.38/19.76 1 ==> 1
% 19.38/19.76 end
% 19.38/19.76
% 19.38/19.76 subsumption: (8) {G0,W15,D2,L3,V6,M3} I { ! perp( X, Y, U, W ), ! perp( U,
% 19.38/19.76 W, Z, T ), para( X, Y, Z, T ) }.
% 19.38/19.76 parent0: (59787) {G0,W15,D2,L3,V6,M3} { ! perp( X, Y, U, W ), ! perp( U, W
% 19.38/19.76 , Z, T ), para( X, Y, Z, T ) }.
% 19.38/19.76 substitution0:
% 19.38/19.76 X := X
% 19.38/19.76 Y := Y
% 19.38/19.76 Z := Z
% 19.38/19.76 T := T
% 19.38/19.76 U := U
% 19.38/19.76 W := W
% 19.38/19.76 end
% 19.38/19.76 permutation0:
% 19.38/19.76 0 ==> 0
% 19.38/19.76 1 ==> 1
% 19.38/19.76 2 ==> 2
% 19.38/19.76 end
% 19.38/19.76
% 19.38/19.76 subsumption: (13) {G0,W10,D2,L2,V4,M2} I { ! cyclic( X, Y, Z, T ), cyclic(
% 19.38/19.76 X, Y, T, Z ) }.
% 19.38/19.76 parent0: (59792) {G0,W10,D2,L2,V4,M2} { ! cyclic( X, Y, Z, T ), cyclic( X
% 19.38/19.76 , Y, T, Z ) }.
% 19.38/19.76 substitution0:
% 19.38/19.76 X := X
% 19.38/19.76 Y := Y
% 19.38/19.76 Z := Z
% 19.38/19.76 T := T
% 19.38/19.76 end
% 19.38/19.76 permutation0:
% 19.38/19.76 0 ==> 0
% 19.38/19.76 1 ==> 1
% 19.38/19.76 end
% 19.38/19.76
% 19.38/19.76 subsumption: (14) {G0,W10,D2,L2,V4,M2} I { ! cyclic( X, Y, Z, T ), cyclic(
% 19.38/19.76 X, Z, Y, T ) }.
% 19.38/19.76 parent0: (59793) {G0,W10,D2,L2,V4,M2} { ! cyclic( X, Y, Z, T ), cyclic( X
% 19.38/19.76 , Z, Y, T ) }.
% 19.38/19.76 substitution0:
% 19.38/19.76 X := X
% 19.38/19.76 Y := Y
% 19.38/19.76 Z := Z
% 19.38/19.76 T := T
% 19.38/19.76 end
% 19.38/19.76 permutation0:
% 19.38/19.76 0 ==> 0
% 19.38/19.76 1 ==> 1
% 19.38/19.76 end
% 19.38/19.76
% 19.38/19.76 subsumption: (15) {G0,W10,D2,L2,V4,M2} I { ! cyclic( X, Y, Z, T ), cyclic(
% 19.38/19.76 Y, X, Z, T ) }.
% 19.38/19.76 parent0: (59794) {G0,W10,D2,L2,V4,M2} { ! cyclic( X, Y, Z, T ), cyclic( Y
% 19.38/19.76 , X, Z, T ) }.
% 19.38/19.76 substitution0:
% 19.38/19.76 X := X
% 19.38/19.76 Y := Y
% 19.38/19.76 Z := Z
% 19.38/19.76 T := T
% 19.38/19.76 end
% 19.38/19.76 permutation0:
% 19.38/19.76 0 ==> 0
% 19.38/19.76 1 ==> 1
% 19.38/19.76 end
% 19.38/19.76
% 19.38/19.76 subsumption: (16) {G0,W15,D2,L3,V5,M3} I { ! cyclic( U, X, Y, Z ), ! cyclic
% 19.38/19.76 ( U, X, Y, T ), cyclic( X, Y, Z, T ) }.
% 19.38/19.76 parent0: (59795) {G0,W15,D2,L3,V5,M3} { ! cyclic( U, X, Y, Z ), ! cyclic(
% 19.38/19.76 U, X, Y, T ), cyclic( X, Y, Z, T ) }.
% 19.38/19.76 substitution0:
% 19.38/19.76 X := X
% 19.38/19.76 Y := Y
% 19.38/19.76 Z := Z
% 19.38/19.76 T := T
% 19.38/19.76 U := U
% 19.38/19.76 end
% 19.38/19.76 permutation0:
% 19.38/19.76 0 ==> 0
% 19.38/19.76 1 ==> 1
% 19.38/19.76 2 ==> 2
% 19.38/19.76 end
% 19.38/19.76
% 19.38/19.76 subsumption: (18) {G0,W18,D2,L2,V8,M2} I { ! eqangle( X, Y, Z, T, U, W, V0
% 19.38/19.76 , V1 ), eqangle( Z, T, X, Y, V0, V1, U, W ) }.
% 19.38/19.76 parent0: (59797) {G0,W18,D2,L2,V8,M2} { ! eqangle( X, Y, Z, T, U, W, V0,
% 19.38/19.76 V1 ), eqangle( Z, T, X, Y, V0, V1, U, W ) }.
% 19.38/19.76 substitution0:
% 19.38/19.76 X := X
% 19.38/19.76 Y := Y
% 19.38/19.76 Z := Z
% 19.38/19.76 T := T
% 19.38/19.76 U := U
% 19.38/19.76 W := W
% 19.38/19.76 V0 := V0
% 19.38/19.76 V1 := V1
% 19.38/19.76 end
% 19.38/19.76 permutation0:
% 19.38/19.76 0 ==> 0
% 19.38/19.76 1 ==> 1
% 19.38/19.76 end
% 19.38/19.76
% 19.38/19.76 subsumption: (19) {G0,W18,D2,L2,V8,M2} I { ! eqangle( X, Y, Z, T, U, W, V0
% 19.38/19.76 , V1 ), eqangle( U, W, V0, V1, X, Y, Z, T ) }.
% 19.38/19.76 parent0: (59798) {G0,W18,D2,L2,V8,M2} { ! eqangle( X, Y, Z, T, U, W, V0,
% 19.38/19.76 V1 ), eqangle( U, W, V0, V1, X, Y, Z, T ) }.
% 19.38/19.76 substitution0:
% 19.38/19.76 X := X
% 19.38/19.76 Y := Y
% 19.38/19.76 Z := Z
% 19.38/19.76 T := T
% 19.38/19.76 U := U
% 19.38/19.76 W := W
% 19.38/19.76 V0 := V0
% 19.38/19.76 V1 := V1
% 19.38/19.76 end
% 19.38/19.76 permutation0:
% 19.38/19.76 0 ==> 0
% 19.38/19.76 1 ==> 1
% 19.38/19.76 end
% 19.38/19.76
% 19.38/19.76 subsumption: (39) {G0,W14,D2,L2,V6,M2} I { ! para( X, Y, Z, T ), eqangle( X
% 19.38/19.76 , Y, U, W, Z, T, U, W ) }.
% 19.38/19.76 parent0: (59818) {G0,W14,D2,L2,V6,M2} { ! para( X, Y, Z, T ), eqangle( X,
% 19.38/19.76 Y, U, W, Z, T, U, W ) }.
% 19.38/19.76 substitution0:
% 19.38/19.76 X := X
% 19.38/19.76 Y := Y
% 19.38/19.76 Z := Z
% 19.38/19.76 T := T
% 19.38/19.76 U := U
% 19.38/19.76 W := W
% 19.38/19.76 end
% 19.38/19.76 permutation0:
% 19.38/19.76 0 ==> 0
% 19.38/19.76 1 ==> 1
% 19.38/19.76 end
% 19.38/19.76
% 19.38/19.76 subsumption: (40) {G0,W14,D2,L2,V4,M2} I { ! cyclic( X, Y, Z, T ), eqangle
% 19.38/19.76 ( Z, X, Z, Y, T, X, T, Y ) }.
% 19.38/19.76 parent0: (59819) {G0,W14,D2,L2,V4,M2} { ! cyclic( X, Y, Z, T ), eqangle( Z
% 19.38/19.76 , X, Z, Y, T, X, T, Y ) }.
% 19.38/19.76 substitution0:
% 19.38/19.76 X := X
% 19.38/19.76 Y := Y
% 19.38/19.76 Z := Z
% 19.38/19.76 T := T
% 19.38/19.76 end
% 19.38/19.76 permutation0:
% 19.38/19.76 0 ==> 0
% 19.38/19.76 1 ==> 1
% 19.38/19.76 end
% 19.38/19.76
% 19.38/19.76 subsumption: (42) {G0,W18,D2,L3,V4,M3} I { ! eqangle( Z, X, Z, Y, T, X, T,
% 19.38/19.76 Y ), ! coll( Z, T, Y ), cyclic( X, Y, Z, T ) }.
% 19.38/19.76 parent0: (59821) {G0,W18,D2,L3,V4,M3} { ! eqangle( Z, X, Z, Y, T, X, T, Y
% 19.38/19.76 ), ! coll( Z, T, Y ), cyclic( X, Y, Z, T ) }.
% 19.38/19.76 substitution0:
% 19.38/19.76 X := X
% 19.38/19.76 Y := Y
% 19.38/19.76 Z := Z
% 19.38/19.76 T := T
% 19.38/19.76 end
% 19.38/19.76 permutation0:
% 19.38/19.76 0 ==> 0
% 19.38/19.76 1 ==> 1
% 19.38/19.76 2 ==> 2
% 19.38/19.76 end
% 19.38/19.76
% 19.38/19.76 subsumption: (43) {G0,W29,D2,L5,V6,M5} I { ! cyclic( X, Y, U, Z ), ! cyclic
% 19.38/19.76 ( X, Y, U, T ), ! cyclic( X, Y, U, W ), ! eqangle( U, X, U, Y, W, Z, W, T
% 19.38/19.76 ), cong( X, Y, Z, T ) }.
% 19.38/19.76 parent0: (59822) {G0,W29,D2,L5,V6,M5} { ! cyclic( X, Y, U, Z ), ! cyclic(
% 19.38/19.76 X, Y, U, T ), ! cyclic( X, Y, U, W ), ! eqangle( U, X, U, Y, W, Z, W, T )
% 19.38/19.76 , cong( X, Y, Z, T ) }.
% 19.38/19.76 substitution0:
% 19.38/19.76 X := X
% 19.38/19.76 Y := Y
% 19.38/19.76 Z := Z
% 19.38/19.76 T := T
% 19.38/19.76 U := U
% 19.38/19.76 W := W
% 19.38/19.76 end
% 19.38/19.76 permutation0:
% 19.38/19.76 0 ==> 0
% 19.38/19.76 1 ==> 1
% 19.38/19.76 2 ==> 2
% 19.38/19.76 3 ==> 3
% 19.38/19.76 4 ==> 4
% 19.38/19.76 end
% 19.38/19.76
% 19.38/19.76 subsumption: (56) {G0,W15,D2,L3,V4,M3} I { ! cong( X, Z, Y, Z ), ! cong( X
% 19.38/19.76 , T, Y, T ), perp( X, Y, Z, T ) }.
% 19.38/19.76 parent0: (59835) {G0,W15,D2,L3,V4,M3} { ! cong( X, Z, Y, Z ), ! cong( X, T
% 19.38/19.76 , Y, T ), perp( X, Y, Z, T ) }.
% 19.38/19.76 substitution0:
% 19.38/19.76 X := X
% 19.38/19.76 Y := Y
% 19.38/19.76 Z := Z
% 19.38/19.76 T := T
% 19.38/19.76 end
% 19.38/19.76 permutation0:
% 19.38/19.76 0 ==> 0
% 19.38/19.76 1 ==> 1
% 19.38/19.76 2 ==> 2
% 19.38/19.76 end
% 19.38/19.76
% 19.38/19.76 subsumption: (66) {G0,W9,D2,L2,V3,M2} I { ! para( X, Y, X, Z ), coll( X, Y
% 19.38/19.76 , Z ) }.
% 19.38/19.76 parent0: (59845) {G0,W9,D2,L2,V3,M2} { ! para( X, Y, X, Z ), coll( X, Y, Z
% 19.38/19.76 ) }.
% 19.38/19.76 substitution0:
% 19.38/19.76 X := X
% 19.38/19.76 Y := Y
% 19.38/19.76 Z := Z
% 19.38/19.76 end
% 19.38/19.76 permutation0:
% 19.38/19.76 0 ==> 0
% 19.38/19.76 1 ==> 1
% 19.38/19.76 end
% 19.38/19.76
% 19.38/19.76 subsumption: (121) {G0,W5,D2,L1,V0,M1} I { perp( skol24, skol27, skol20,
% 19.38/19.76 skol26 ) }.
% 19.38/19.76 parent0: (59901) {G0,W5,D2,L1,V0,M1} { perp( skol24, skol27, skol20,
% 19.38/19.76 skol26 ) }.
% 19.38/19.76 substitution0:
% 19.38/19.76 end
% 19.38/19.76 permutation0:
% 19.38/19.76 0 ==> 0
% 19.38/19.76 end
% 19.38/19.76
% 19.38/19.76 subsumption: (123) {G0,W5,D2,L1,V0,M1} I { ! para( skol23, skol24, skol20,
% 19.38/19.76 skol22 ) }.
% 19.38/19.76 parent0: (59903) {G0,W5,D2,L1,V0,M1} { ! para( skol23, skol24, skol20,
% 19.38/19.76 skol22 ) }.
% 19.38/19.76 substitution0:
% 19.38/19.76 end
% 19.38/19.76 permutation0:
% 19.38/19.76 0 ==> 0
% 19.38/19.76 end
% 19.38/19.76
% 19.38/19.76 resolution: (60178) {G1,W12,D2,L3,V4,M3} { coll( X, Z, Y ), ! coll( Z, T,
% 19.38/19.76 X ), ! coll( Z, T, Y ) }.
% 19.38/19.76 parent0[0]: (0) {G0,W8,D2,L2,V3,M2} I { ! coll( X, Y, Z ), coll( X, Z, Y )
% 19.38/19.76 }.
% 19.38/19.76 parent1[2]: (2) {G0,W12,D2,L3,V4,M3} I { ! coll( X, T, Y ), ! coll( X, T, Z
% 19.38/19.76 ), coll( Y, Z, X ) }.
% 19.38/19.76 substitution0:
% 19.38/19.76 X := X
% 19.38/19.76 Y := Y
% 19.38/19.76 Z := Z
% 19.38/19.76 end
% 19.38/19.76 substitution1:
% 19.38/19.76 X := Z
% 19.38/19.76 Y := X
% 19.38/19.76 Z := Y
% 19.38/19.76 T := T
% 19.38/19.76 end
% 19.38/19.76
% 19.38/19.76 subsumption: (190) {G1,W12,D2,L3,V4,M3} R(2,0) { ! coll( X, Y, Z ), ! coll
% 19.38/19.76 ( X, Y, T ), coll( Z, X, T ) }.
% 19.38/19.76 parent0: (60178) {G1,W12,D2,L3,V4,M3} { coll( X, Z, Y ), ! coll( Z, T, X )
% 19.38/19.76 , ! coll( Z, T, Y ) }.
% 19.38/19.76 substitution0:
% 19.38/19.76 X := Z
% 19.38/19.76 Y := T
% 19.38/19.76 Z := X
% 19.38/19.76 T := Y
% 19.38/19.76 end
% 19.38/19.76 permutation0:
% 19.38/19.76 0 ==> 2
% 19.38/19.76 1 ==> 0
% 19.38/19.76 2 ==> 1
% 19.38/19.76 end
% 19.38/19.76
% 19.38/19.76 factor: (60180) {G1,W8,D2,L2,V3,M2} { ! coll( X, Y, Z ), coll( Z, X, Z )
% 19.38/19.76 }.
% 19.38/19.76 parent0[0, 1]: (190) {G1,W12,D2,L3,V4,M3} R(2,0) { ! coll( X, Y, Z ), !
% 19.38/19.76 coll( X, Y, T ), coll( Z, X, T ) }.
% 19.38/19.76 substitution0:
% 19.38/19.76 X := X
% 19.38/19.76 Y := Y
% 19.38/19.76 Z := Z
% 19.38/19.76 T := Z
% 19.38/19.76 end
% 19.38/19.76
% 19.38/19.76 subsumption: (195) {G2,W8,D2,L2,V3,M2} F(190) { ! coll( X, Y, Z ), coll( Z
% 19.38/19.76 , X, Z ) }.
% 19.38/19.76 parent0: (60180) {G1,W8,D2,L2,V3,M2} { ! coll( X, Y, Z ), coll( Z, X, Z )
% 19.38/19.76 }.
% 19.38/19.76 substitution0:
% 19.38/19.76 X := X
% 19.38/19.76 Y := Y
% 19.38/19.76 Z := Z
% 19.38/19.76 end
% 19.38/19.76 permutation0:
% 19.38/19.76 0 ==> 0
% 19.38/19.76 1 ==> 1
% 19.38/19.76 end
% 19.38/19.76
% 19.38/19.76 resolution: (60181) {G1,W12,D2,L3,V4,M3} { coll( Z, X, Z ), ! coll( Z, T,
% 19.38/19.76 X ), ! coll( Z, T, Y ) }.
% 19.38/19.76 parent0[0]: (195) {G2,W8,D2,L2,V3,M2} F(190) { ! coll( X, Y, Z ), coll( Z,
% 19.38/19.76 X, Z ) }.
% 19.38/19.76 parent1[2]: (2) {G0,W12,D2,L3,V4,M3} I { ! coll( X, T, Y ), ! coll( X, T, Z
% 19.38/19.76 ), coll( Y, Z, X ) }.
% 19.38/19.76 substitution0:
% 19.38/19.76 X := X
% 19.38/19.76 Y := Y
% 19.38/19.76 Z := Z
% 19.38/19.76 end
% 19.38/19.76 substitution1:
% 19.38/19.76 X := Z
% 19.38/19.76 Y := X
% 19.38/19.76 Z := Y
% 19.38/19.76 T := T
% 19.38/19.76 end
% 19.38/19.76
% 19.38/19.76 subsumption: (214) {G3,W12,D2,L3,V4,M3} R(195,2) { coll( X, Y, X ), ! coll
% 19.38/19.76 ( X, Z, Y ), ! coll( X, Z, T ) }.
% 19.38/19.76 parent0: (60181) {G1,W12,D2,L3,V4,M3} { coll( Z, X, Z ), ! coll( Z, T, X )
% 19.38/19.76 , ! coll( Z, T, Y ) }.
% 19.38/19.76 substitution0:
% 19.38/19.76 X := Y
% 19.38/19.76 Y := Y
% 19.38/19.76 Z := X
% 19.38/19.76 T := Z
% 19.38/19.76 end
% 19.38/19.76 permutation0:
% 19.38/19.76 0 ==> 0
% 19.38/19.76 1 ==> 1
% 19.38/19.76 2 ==> 1
% 19.38/19.76 end
% 19.38/19.76
% 19.38/19.76 factor: (60183) {G3,W8,D2,L2,V3,M2} { coll( X, Y, X ), ! coll( X, Z, Y )
% 19.38/19.76 }.
% 19.38/19.76 parent0[1, 2]: (214) {G3,W12,D2,L3,V4,M3} R(195,2) { coll( X, Y, X ), !
% 19.38/19.76 coll( X, Z, Y ), ! coll( X, Z, T ) }.
% 19.38/19.76 substitution0:
% 19.38/19.76 X := X
% 19.38/19.76 Y := Y
% 19.38/19.76 Z := Z
% 19.38/19.76 T := Y
% 19.38/19.76 end
% 19.38/19.76
% 19.38/19.76 subsumption: (227) {G4,W8,D2,L2,V3,M2} F(214) { coll( X, Y, X ), ! coll( X
% 19.38/19.76 , Z, Y ) }.
% 19.38/19.76 parent0: (60183) {G3,W8,D2,L2,V3,M2} { coll( X, Y, X ), ! coll( X, Z, Y )
% 19.38/19.76 }.
% 19.38/19.76 substitution0:
% 19.38/19.76 X := X
% 19.38/19.76 Y := Y
% 19.38/19.76 Z := Z
% 19.38/19.76 end
% 19.38/19.76 permutation0:
% 19.38/19.76 0 ==> 0
% 19.38/19.76 1 ==> 1
% 19.38/19.76 end
% 19.38/19.76
% 19.38/19.76 resolution: (60184) {G1,W5,D2,L1,V0,M1} { ! para( skol20, skol22, skol23,
% 19.38/19.76 skol24 ) }.
% 19.38/19.76 parent0[0]: (123) {G0,W5,D2,L1,V0,M1} I { ! para( skol23, skol24, skol20,
% 19.38/19.76 skol22 ) }.
% 19.38/19.76 parent1[1]: (4) {G0,W10,D2,L2,V4,M2} I { ! para( X, Y, Z, T ), para( Z, T,
% 19.38/19.76 X, Y ) }.
% 19.38/19.76 substitution0:
% 19.38/19.76 end
% 19.38/19.76 substitution1:
% 19.38/19.76 X := skol20
% 19.38/19.76 Y := skol22
% 19.38/19.76 Z := skol23
% 19.38/19.76 T := skol24
% 19.38/19.76 end
% 19.38/19.76
% 19.38/19.76 subsumption: (233) {G1,W5,D2,L1,V0,M1} R(4,123) { ! para( skol20, skol22,
% 19.38/19.76 skol23, skol24 ) }.
% 19.38/19.76 parent0: (60184) {G1,W5,D2,L1,V0,M1} { ! para( skol20, skol22, skol23,
% 19.38/19.76 skol24 ) }.
% 19.38/19.76 substitution0:
% 19.38/19.76 end
% 19.38/19.76 permutation0:
% 19.38/19.76 0 ==> 0
% 19.38/19.76 end
% 19.38/19.76
% 19.38/19.76 resolution: (60185) {G1,W15,D2,L3,V6,M3} { ! para( Z, T, U, W ), para( X,
% 19.38/19.76 Y, U, W ), ! para( Z, T, X, Y ) }.
% 19.38/19.76 parent0[0]: (5) {G0,W15,D2,L3,V6,M3} I { ! para( X, Y, U, W ), ! para( U, W
% 19.38/19.76 , Z, T ), para( X, Y, Z, T ) }.
% 19.38/19.76 parent1[1]: (4) {G0,W10,D2,L2,V4,M2} I { ! para( X, Y, Z, T ), para( Z, T,
% 19.38/19.76 X, Y ) }.
% 19.38/19.76 substitution0:
% 19.38/19.76 X := X
% 19.38/19.76 Y := Y
% 19.38/19.76 Z := U
% 19.38/19.76 T := W
% 19.38/19.76 U := Z
% 19.38/19.76 W := T
% 19.38/19.76 end
% 19.38/19.76 substitution1:
% 19.38/19.76 X := Z
% 19.38/19.76 Y := T
% 19.38/19.76 Z := X
% 19.38/19.76 T := Y
% 19.38/19.76 end
% 19.38/19.76
% 19.38/19.76 subsumption: (242) {G1,W15,D2,L3,V6,M3} R(5,4) { ! para( X, Y, Z, T ), para
% 19.38/19.76 ( U, W, Z, T ), ! para( X, Y, U, W ) }.
% 19.38/19.76 parent0: (60185) {G1,W15,D2,L3,V6,M3} { ! para( Z, T, U, W ), para( X, Y,
% 19.38/19.76 U, W ), ! para( Z, T, X, Y ) }.
% 19.38/19.76 substitution0:
% 19.38/19.76 X := U
% 19.38/19.76 Y := W
% 19.38/19.76 Z := X
% 19.38/19.76 T := Y
% 19.38/19.76 U := Z
% 19.38/19.76 W := T
% 19.38/19.76 end
% 19.38/19.76 permutation0:
% 19.38/19.76 0 ==> 0
% 19.38/19.76 1 ==> 1
% 19.38/19.76 2 ==> 2
% 19.38/19.76 end
% 19.38/19.76
% 19.38/19.76 factor: (60189) {G1,W10,D2,L2,V4,M2} { ! para( X, Y, Z, T ), para( Z, T, Z
% 19.38/19.76 , T ) }.
% 19.38/19.76 parent0[0, 2]: (242) {G1,W15,D2,L3,V6,M3} R(5,4) { ! para( X, Y, Z, T ),
% 19.38/19.76 para( U, W, Z, T ), ! para( X, Y, U, W ) }.
% 19.38/19.76 substitution0:
% 19.38/19.76 X := X
% 19.38/19.76 Y := Y
% 19.38/19.76 Z := Z
% 19.38/19.76 T := T
% 19.38/19.76 U := Z
% 19.38/19.76 W := T
% 19.38/19.76 end
% 19.38/19.76
% 19.38/19.76 subsumption: (254) {G2,W10,D2,L2,V4,M2} F(242) { ! para( X, Y, Z, T ), para
% 19.38/19.76 ( Z, T, Z, T ) }.
% 19.38/19.76 parent0: (60189) {G1,W10,D2,L2,V4,M2} { ! para( X, Y, Z, T ), para( Z, T,
% 19.38/19.76 Z, T ) }.
% 19.38/19.76 substitution0:
% 19.38/19.76 X := X
% 19.38/19.76 Y := Y
% 19.38/19.76 Z := Z
% 19.38/19.76 T := T
% 19.38/19.76 end
% 19.38/19.76 permutation0:
% 19.38/19.76 0 ==> 0
% 19.38/19.76 1 ==> 1
% 19.38/19.76 end
% 19.38/19.76
% 19.38/19.76 resolution: (60190) {G1,W5,D2,L1,V0,M1} { perp( skol20, skol26, skol24,
% 19.38/19.76 skol27 ) }.
% 19.38/19.76 parent0[0]: (7) {G0,W10,D2,L2,V4,M2} I { ! perp( X, Y, Z, T ), perp( Z, T,
% 19.38/19.76 X, Y ) }.
% 19.38/19.76 parent1[0]: (121) {G0,W5,D2,L1,V0,M1} I { perp( skol24, skol27, skol20,
% 19.38/19.76 skol26 ) }.
% 19.38/19.76 substitution0:
% 19.38/19.76 X := skol24
% 19.38/19.76 Y := skol27
% 19.38/19.76 Z := skol20
% 19.38/19.76 T := skol26
% 19.38/19.76 end
% 19.38/19.76 substitution1:
% 19.38/19.76 end
% 19.38/19.76
% 19.38/19.76 subsumption: (274) {G1,W5,D2,L1,V0,M1} R(7,121) { perp( skol20, skol26,
% 19.38/19.76 skol24, skol27 ) }.
% 19.38/19.76 parent0: (60190) {G1,W5,D2,L1,V0,M1} { perp( skol20, skol26, skol24,
% 19.38/19.76 skol27 ) }.
% 19.38/19.76 substitution0:
% 19.38/19.76 end
% 19.38/19.76 permutation0:
% 19.38/19.76 0 ==> 0
% 19.38/19.76 end
% 19.38/19.76
% 19.38/19.76 resolution: (60191) {G1,W15,D2,L3,V6,M3} { ! perp( Z, T, U, W ), para( X,
% 19.38/19.76 Y, U, W ), ! perp( Z, T, X, Y ) }.
% 19.38/19.76 parent0[0]: (8) {G0,W15,D2,L3,V6,M3} I { ! perp( X, Y, U, W ), ! perp( U, W
% 19.38/19.76 , Z, T ), para( X, Y, Z, T ) }.
% 19.38/19.76 parent1[1]: (7) {G0,W10,D2,L2,V4,M2} I { ! perp( X, Y, Z, T ), perp( Z, T,
% 19.38/19.76 X, Y ) }.
% 19.38/19.76 substitution0:
% 19.38/19.76 X := X
% 19.38/19.76 Y := Y
% 19.38/19.76 Z := U
% 19.38/19.76 T := W
% 19.38/19.76 U := Z
% 19.38/19.76 W := T
% 19.38/19.76 end
% 19.38/19.76 substitution1:
% 19.38/19.76 X := Z
% 19.38/19.76 Y := T
% 19.38/19.76 Z := X
% 19.38/19.76 T := Y
% 19.38/19.76 end
% 19.38/19.76
% 19.38/19.76 subsumption: (285) {G1,W15,D2,L3,V6,M3} R(8,7) { ! perp( X, Y, Z, T ), para
% 19.38/19.76 ( U, W, Z, T ), ! perp( X, Y, U, W ) }.
% 19.38/19.76 parent0: (60191) {G1,W15,D2,L3,V6,M3} { ! perp( Z, T, U, W ), para( X, Y,
% 19.38/19.76 U, W ), ! perp( Z, T, X, Y ) }.
% 19.38/19.76 substitution0:
% 19.38/19.76 X := U
% 19.38/19.76 Y := W
% 19.38/19.76 Z := X
% 19.38/19.76 T := Y
% 19.38/19.76 U := Z
% 19.38/19.76 W := T
% 19.38/19.76 end
% 19.38/19.76 permutation0:
% 19.38/19.76 0 ==> 0
% 19.38/19.76 1 ==> 1
% 19.38/19.76 2 ==> 2
% 19.38/19.76 end
% 19.38/19.76
% 19.38/19.76 resolution: (60195) {G1,W10,D2,L2,V2,M2} { ! perp( skol20, skol26, X, Y )
% 19.38/19.76 , para( skol24, skol27, X, Y ) }.
% 19.38/19.76 parent0[0]: (8) {G0,W15,D2,L3,V6,M3} I { ! perp( X, Y, U, W ), ! perp( U, W
% 19.38/19.76 , Z, T ), para( X, Y, Z, T ) }.
% 19.38/19.76 parent1[0]: (121) {G0,W5,D2,L1,V0,M1} I { perp( skol24, skol27, skol20,
% 19.38/19.76 skol26 ) }.
% 19.38/19.76 substitution0:
% 19.38/19.76 X := skol24
% 19.38/19.76 Y := skol27
% 19.38/19.76 Z := X
% 19.38/19.76 T := Y
% 19.38/19.76 U := skol20
% 19.38/19.76 W := skol26
% 19.38/19.76 end
% 19.38/19.76 substitution1:
% 19.38/19.76 end
% 19.38/19.76
% 19.38/19.76 subsumption: (295) {G1,W10,D2,L2,V2,M2} R(8,121) { ! perp( skol20, skol26,
% 19.38/19.76 X, Y ), para( skol24, skol27, X, Y ) }.
% 19.38/19.76 parent0: (60195) {G1,W10,D2,L2,V2,M2} { ! perp( skol20, skol26, X, Y ),
% 19.38/19.76 para( skol24, skol27, X, Y ) }.
% 19.38/19.76 substitution0:
% 19.38/19.76 X := X
% 19.38/19.76 Y := Y
% 19.38/19.76 end
% 19.38/19.76 permutation0:
% 19.38/19.76 0 ==> 0
% 19.38/19.76 1 ==> 1
% 19.38/19.76 end
% 19.38/19.76
% 19.38/19.76 resolution: (60198) {G1,W10,D2,L2,V4,M2} { cyclic( X, Y, T, Z ), ! cyclic
% 19.38/19.76 ( X, Z, Y, T ) }.
% 19.38/19.76 parent0[0]: (13) {G0,W10,D2,L2,V4,M2} I { ! cyclic( X, Y, Z, T ), cyclic( X
% 19.38/19.76 , Y, T, Z ) }.
% 19.38/19.76 parent1[1]: (14) {G0,W10,D2,L2,V4,M2} I { ! cyclic( X, Y, Z, T ), cyclic( X
% 19.38/19.76 , Z, Y, T ) }.
% 19.38/19.76 substitution0:
% 19.38/19.76 X := X
% 19.38/19.76 Y := Y
% 19.38/19.76 Z := Z
% 19.38/19.76 T := T
% 19.38/19.76 end
% 19.38/19.76 substitution1:
% 19.38/19.76 X := X
% 19.38/19.76 Y := Z
% 19.38/19.76 Z := Y
% 19.38/19.76 T := T
% 19.38/19.76 end
% 19.38/19.76
% 19.38/19.76 subsumption: (359) {G1,W10,D2,L2,V4,M2} R(14,13) { ! cyclic( X, Y, Z, T ),
% 19.38/19.76 cyclic( X, Z, T, Y ) }.
% 19.38/19.76 parent0: (60198) {G1,W10,D2,L2,V4,M2} { cyclic( X, Y, T, Z ), ! cyclic( X
% 19.38/19.76 , Z, Y, T ) }.
% 19.38/19.76 substitution0:
% 19.38/19.76 X := X
% 19.38/19.76 Y := Z
% 19.38/19.76 Z := Y
% 19.38/19.76 T := T
% 19.38/19.76 end
% 19.38/19.76 permutation0:
% 19.38/19.76 0 ==> 1
% 19.38/19.76 1 ==> 0
% 19.38/19.76 end
% 19.38/19.76
% 19.38/19.76 resolution: (60199) {G1,W10,D2,L2,V4,M2} { cyclic( Y, X, Z, T ), ! cyclic
% 19.38/19.76 ( X, Z, Y, T ) }.
% 19.38/19.76 parent0[0]: (15) {G0,W10,D2,L2,V4,M2} I { ! cyclic( X, Y, Z, T ), cyclic( Y
% 19.38/19.76 , X, Z, T ) }.
% 19.38/19.76 parent1[1]: (14) {G0,W10,D2,L2,V4,M2} I { ! cyclic( X, Y, Z, T ), cyclic( X
% 19.38/19.76 , Z, Y, T ) }.
% 19.38/19.76 substitution0:
% 19.38/19.76 X := X
% 19.38/19.76 Y := Y
% 19.38/19.76 Z := Z
% 19.38/19.76 T := T
% 19.38/19.76 end
% 19.38/19.76 substitution1:
% 19.38/19.76 X := X
% 19.38/19.76 Y := Z
% 19.38/19.76 Z := Y
% 19.38/19.76 T := T
% 19.38/19.76 end
% 19.38/19.76
% 19.38/19.76 subsumption: (374) {G1,W10,D2,L2,V4,M2} R(15,14) { cyclic( X, Y, Z, T ), !
% 19.38/19.76 cyclic( Y, Z, X, T ) }.
% 19.38/19.76 parent0: (60199) {G1,W10,D2,L2,V4,M2} { cyclic( Y, X, Z, T ), ! cyclic( X
% 19.38/19.76 , Z, Y, T ) }.
% 19.38/19.76 substitution0:
% 19.38/19.76 X := Y
% 19.38/19.76 Y := X
% 19.38/19.76 Z := Z
% 19.38/19.76 T := T
% 19.38/19.76 end
% 19.38/19.76 permutation0:
% 19.38/19.76 0 ==> 0
% 19.38/19.76 1 ==> 1
% 19.38/19.76 end
% 19.38/19.76
% 19.38/19.76 resolution: (60200) {G1,W10,D2,L2,V4,M2} { cyclic( Y, X, Z, T ), ! cyclic
% 19.38/19.76 ( X, Y, T, Z ) }.
% 19.38/19.76 parent0[0]: (15) {G0,W10,D2,L2,V4,M2} I { ! cyclic( X, Y, Z, T ), cyclic( Y
% 19.38/19.76 , X, Z, T ) }.
% 19.38/19.76 parent1[1]: (13) {G0,W10,D2,L2,V4,M2} I { ! cyclic( X, Y, Z, T ), cyclic( X
% 19.38/19.76 , Y, T, Z ) }.
% 19.38/19.76 substitution0:
% 19.38/19.76 X := X
% 19.38/19.76 Y := Y
% 19.38/19.76 Z := Z
% 19.38/19.76 T := T
% 19.38/19.76 end
% 19.38/19.76 substitution1:
% 19.38/19.76 X := X
% 19.38/19.76 Y := Y
% 19.38/19.76 Z := T
% 19.38/19.76 T := Z
% 19.38/19.76 end
% 19.38/19.76
% 19.38/19.76 subsumption: (376) {G1,W10,D2,L2,V4,M2} R(15,13) { cyclic( X, Y, Z, T ), !
% 19.38/19.76 cyclic( Y, X, T, Z ) }.
% 19.38/19.76 parent0: (60200) {G1,W10,D2,L2,V4,M2} { cyclic( Y, X, Z, T ), ! cyclic( X
% 19.38/19.76 , Y, T, Z ) }.
% 19.38/19.76 substitution0:
% 19.38/19.76 X := Y
% 19.38/19.76 Y := X
% 19.38/19.76 Z := Z
% 19.38/19.76 T := T
% 19.38/19.76 end
% 19.38/19.76 permutation0:
% 19.38/19.76 0 ==> 0
% 19.38/19.76 1 ==> 1
% 19.38/19.76 end
% 19.38/19.76
% 19.38/19.76 resolution: (60201) {G1,W5,D2,L1,V0,M1} { perp( skol20, skol26, skol27,
% 19.38/19.76 skol24 ) }.
% 19.38/19.76 parent0[0]: (6) {G0,W10,D2,L2,V4,M2} I { ! perp( X, Y, Z, T ), perp( X, Y,
% 19.38/19.76 T, Z ) }.
% 19.38/19.76 parent1[0]: (274) {G1,W5,D2,L1,V0,M1} R(7,121) { perp( skol20, skol26,
% 19.38/19.76 skol24, skol27 ) }.
% 19.38/19.76 substitution0:
% 19.38/19.76 X := skol20
% 19.38/19.76 Y := skol26
% 19.38/19.76 Z := skol24
% 19.38/19.76 T := skol27
% 19.38/19.76 end
% 19.38/19.76 substitution1:
% 19.38/19.76 end
% 19.38/19.76
% 19.38/19.76 subsumption: (396) {G2,W5,D2,L1,V0,M1} R(274,6) { perp( skol20, skol26,
% 19.38/19.76 skol27, skol24 ) }.
% 19.38/19.76 parent0: (60201) {G1,W5,D2,L1,V0,M1} { perp( skol20, skol26, skol27,
% 19.38/19.76 skol24 ) }.
% 19.38/19.76 substitution0:
% 19.38/19.76 end
% 19.38/19.76 permutation0:
% 19.38/19.76 0 ==> 0
% 19.38/19.76 end
% 19.38/19.76
% 19.38/19.76 resolution: (60205) {G1,W15,D2,L3,V5,M3} { cyclic( Y, X, Z, T ), ! cyclic
% 19.38/19.76 ( U, X, Y, Z ), ! cyclic( U, X, Y, T ) }.
% 19.38/19.76 parent0[0]: (15) {G0,W10,D2,L2,V4,M2} I { ! cyclic( X, Y, Z, T ), cyclic( Y
% 19.38/19.76 , X, Z, T ) }.
% 19.38/19.76 parent1[2]: (16) {G0,W15,D2,L3,V5,M3} I { ! cyclic( U, X, Y, Z ), ! cyclic
% 19.38/19.76 ( U, X, Y, T ), cyclic( X, Y, Z, T ) }.
% 19.38/19.76 substitution0:
% 19.38/19.76 X := X
% 19.38/19.76 Y := Y
% 19.38/19.76 Z := Z
% 19.38/19.76 T := T
% 19.38/19.76 end
% 19.38/19.76 substitution1:
% 19.38/19.76 X := X
% 19.38/19.76 Y := Y
% 19.38/19.76 Z := Z
% 19.38/19.76 T := T
% 19.38/19.76 U := U
% 19.38/19.76 end
% 19.38/19.76
% 19.38/19.76 subsumption: (401) {G1,W15,D2,L3,V5,M3} R(16,15) { ! cyclic( X, Y, Z, T ),
% 19.38/19.76 ! cyclic( X, Y, Z, U ), cyclic( Z, Y, T, U ) }.
% 19.38/19.76 parent0: (60205) {G1,W15,D2,L3,V5,M3} { cyclic( Y, X, Z, T ), ! cyclic( U
% 19.38/19.76 , X, Y, Z ), ! cyclic( U, X, Y, T ) }.
% 19.38/19.76 substitution0:
% 19.38/19.76 X := Y
% 19.38/19.76 Y := Z
% 19.38/19.76 Z := T
% 19.38/19.76 T := U
% 19.38/19.76 U := X
% 19.38/19.76 end
% 19.38/19.76 permutation0:
% 19.38/19.76 0 ==> 2
% 19.38/19.76 1 ==> 0
% 19.38/19.76 2 ==> 1
% 19.38/19.76 end
% 19.38/19.76
% 19.38/19.76 resolution: (60208) {G1,W15,D2,L3,V5,M3} { ! cyclic( X, Y, Z, T ), cyclic
% 19.38/19.76 ( Y, Z, T, U ), ! cyclic( X, Y, U, Z ) }.
% 19.38/19.76 parent0[1]: (16) {G0,W15,D2,L3,V5,M3} I { ! cyclic( U, X, Y, Z ), ! cyclic
% 19.38/19.76 ( U, X, Y, T ), cyclic( X, Y, Z, T ) }.
% 19.38/19.76 parent1[1]: (13) {G0,W10,D2,L2,V4,M2} I { ! cyclic( X, Y, Z, T ), cyclic( X
% 19.38/19.76 , Y, T, Z ) }.
% 19.38/19.76 substitution0:
% 19.38/19.76 X := Y
% 19.38/19.76 Y := Z
% 19.38/19.76 Z := T
% 19.38/19.76 T := U
% 19.38/19.76 U := X
% 19.38/19.76 end
% 19.38/19.76 substitution1:
% 19.38/19.76 X := X
% 19.38/19.76 Y := Y
% 19.38/19.76 Z := U
% 19.38/19.76 T := Z
% 19.38/19.76 end
% 19.38/19.76
% 19.38/19.76 subsumption: (406) {G1,W15,D2,L3,V5,M3} R(16,13) { ! cyclic( X, Y, Z, T ),
% 19.38/19.76 cyclic( Y, Z, T, U ), ! cyclic( X, Y, U, Z ) }.
% 19.38/19.76 parent0: (60208) {G1,W15,D2,L3,V5,M3} { ! cyclic( X, Y, Z, T ), cyclic( Y
% 19.38/19.76 , Z, T, U ), ! cyclic( X, Y, U, Z ) }.
% 19.38/19.76 substitution0:
% 19.38/19.76 X := X
% 19.38/19.76 Y := Y
% 19.38/19.76 Z := Z
% 19.38/19.76 T := T
% 19.38/19.76 U := U
% 19.38/19.76 end
% 19.38/19.76 permutation0:
% 19.38/19.76 0 ==> 0
% 19.38/19.76 1 ==> 1
% 19.38/19.76 2 ==> 2
% 19.38/19.76 end
% 19.38/19.76
% 19.38/19.76 factor: (60210) {G1,W10,D2,L2,V4,M2} { ! cyclic( X, Y, Z, T ), cyclic( Z,
% 19.38/19.76 Y, T, T ) }.
% 19.38/19.76 parent0[0, 1]: (401) {G1,W15,D2,L3,V5,M3} R(16,15) { ! cyclic( X, Y, Z, T )
% 19.38/19.76 , ! cyclic( X, Y, Z, U ), cyclic( Z, Y, T, U ) }.
% 19.38/19.76 substitution0:
% 19.38/19.76 X := X
% 19.38/19.76 Y := Y
% 19.38/19.76 Z := Z
% 19.38/19.76 T := T
% 19.38/19.76 U := T
% 19.38/19.76 end
% 19.38/19.76
% 19.38/19.76 subsumption: (410) {G2,W10,D2,L2,V4,M2} F(401) { ! cyclic( X, Y, Z, T ),
% 19.38/19.76 cyclic( Z, Y, T, T ) }.
% 19.38/19.76 parent0: (60210) {G1,W10,D2,L2,V4,M2} { ! cyclic( X, Y, Z, T ), cyclic( Z
% 19.38/19.76 , Y, T, T ) }.
% 19.38/19.76 substitution0:
% 19.38/19.76 X := X
% 19.38/19.76 Y := Y
% 19.38/19.76 Z := Z
% 19.38/19.76 T := T
% 19.38/19.76 end
% 19.38/19.76 permutation0:
% 19.38/19.76 0 ==> 0
% 19.38/19.76 1 ==> 1
% 19.38/19.76 end
% 19.38/19.76
% 19.38/19.76 resolution: (60211) {G1,W10,D2,L2,V2,M2} { ! para( skol20, skol22, X, Y )
% 19.38/19.76 , ! para( X, Y, skol23, skol24 ) }.
% 19.38/19.76 parent0[0]: (233) {G1,W5,D2,L1,V0,M1} R(4,123) { ! para( skol20, skol22,
% 19.38/19.76 skol23, skol24 ) }.
% 19.38/19.76 parent1[2]: (5) {G0,W15,D2,L3,V6,M3} I { ! para( X, Y, U, W ), ! para( U, W
% 19.38/19.76 , Z, T ), para( X, Y, Z, T ) }.
% 19.38/19.76 substitution0:
% 19.38/19.76 end
% 19.38/19.76 substitution1:
% 19.38/19.76 X := skol20
% 19.38/19.76 Y := skol22
% 19.38/19.76 Z := skol23
% 19.38/19.76 T := skol24
% 19.38/19.76 U := X
% 19.38/19.76 W := Y
% 19.38/19.76 end
% 19.38/19.76
% 19.38/19.76 subsumption: (483) {G2,W10,D2,L2,V2,M2} R(233,5) { ! para( skol20, skol22,
% 19.38/19.76 X, Y ), ! para( X, Y, skol23, skol24 ) }.
% 19.38/19.76 parent0: (60211) {G1,W10,D2,L2,V2,M2} { ! para( skol20, skol22, X, Y ), !
% 19.38/19.76 para( X, Y, skol23, skol24 ) }.
% 19.38/19.76 substitution0:
% 19.38/19.76 X := X
% 19.38/19.76 Y := Y
% 19.38/19.76 end
% 19.38/19.76 permutation0:
% 19.38/19.76 0 ==> 0
% 19.38/19.76 1 ==> 1
% 19.38/19.76 end
% 19.38/19.76
% 19.38/19.76 resolution: (60213) {G1,W8,D2,L2,V3,M2} { coll( X, X, Y ), ! coll( X, Z, Y
% 19.38/19.76 ) }.
% 19.38/19.76 parent0[0]: (0) {G0,W8,D2,L2,V3,M2} I { ! coll( X, Y, Z ), coll( X, Z, Y )
% 19.38/19.76 }.
% 19.38/19.76 parent1[0]: (227) {G4,W8,D2,L2,V3,M2} F(214) { coll( X, Y, X ), ! coll( X,
% 19.38/19.76 Z, Y ) }.
% 19.38/19.76 substitution0:
% 19.38/19.76 X := X
% 19.38/19.76 Y := Y
% 19.38/19.76 Z := X
% 19.38/19.76 end
% 19.38/19.76 substitution1:
% 19.38/19.76 X := X
% 19.38/19.76 Y := Y
% 19.38/19.76 Z := Z
% 19.38/19.76 end
% 19.38/19.76
% 19.38/19.76 subsumption: (502) {G5,W8,D2,L2,V3,M2} R(227,0) { ! coll( X, Y, Z ), coll(
% 19.38/19.76 X, X, Z ) }.
% 19.38/19.76 parent0: (60213) {G1,W8,D2,L2,V3,M2} { coll( X, X, Y ), ! coll( X, Z, Y )
% 19.38/19.76 }.
% 19.38/19.76 substitution0:
% 19.38/19.76 X := X
% 19.38/19.76 Y := Z
% 19.38/19.76 Z := Y
% 19.38/19.76 end
% 19.38/19.76 permutation0:
% 19.38/19.76 0 ==> 1
% 19.38/19.76 1 ==> 0
% 19.38/19.76 end
% 19.38/19.76
% 19.38/19.76 resolution: (60214) {G1,W14,D2,L2,V6,M2} { eqangle( Z, T, X, Y, Z, T, U, W
% 19.38/19.76 ), ! para( X, Y, U, W ) }.
% 19.38/19.76 parent0[0]: (18) {G0,W18,D2,L2,V8,M2} I { ! eqangle( X, Y, Z, T, U, W, V0,
% 19.38/19.76 V1 ), eqangle( Z, T, X, Y, V0, V1, U, W ) }.
% 19.38/19.76 parent1[1]: (39) {G0,W14,D2,L2,V6,M2} I { ! para( X, Y, Z, T ), eqangle( X
% 19.38/19.76 , Y, U, W, Z, T, U, W ) }.
% 19.38/19.76 substitution0:
% 19.38/19.76 X := X
% 19.38/19.76 Y := Y
% 19.38/19.76 Z := Z
% 19.38/19.76 T := T
% 19.38/19.76 U := U
% 19.38/19.76 W := W
% 19.38/19.76 V0 := Z
% 19.38/19.76 V1 := T
% 19.38/19.76 end
% 19.38/19.76 substitution1:
% 19.38/19.76 X := X
% 19.38/19.76 Y := Y
% 19.38/19.76 Z := U
% 19.38/19.76 T := W
% 19.38/19.76 U := Z
% 19.38/19.76 W := T
% 19.38/19.76 end
% 19.38/19.76
% 19.38/19.76 subsumption: (819) {G1,W14,D2,L2,V6,M2} R(39,18) { ! para( X, Y, Z, T ),
% 19.38/19.76 eqangle( U, W, X, Y, U, W, Z, T ) }.
% 19.38/19.76 parent0: (60214) {G1,W14,D2,L2,V6,M2} { eqangle( Z, T, X, Y, Z, T, U, W )
% 19.38/19.76 , ! para( X, Y, U, W ) }.
% 19.38/19.76 substitution0:
% 19.38/19.76 X := X
% 19.38/19.76 Y := Y
% 19.38/19.76 Z := U
% 19.38/19.76 T := W
% 19.38/19.76 U := Z
% 19.38/19.76 W := T
% 19.38/19.76 end
% 19.38/19.76 permutation0:
% 19.38/19.76 0 ==> 1
% 19.38/19.76 1 ==> 0
% 19.38/19.76 end
% 19.38/19.76
% 19.38/19.76 resolution: (60215) {G1,W18,D2,L3,V4,M3} { ! coll( X, T, Z ), cyclic( Y, Z
% 19.38/19.76 , X, T ), ! eqangle( T, Y, T, Z, X, Y, X, Z ) }.
% 19.38/19.76 parent0[0]: (42) {G0,W18,D2,L3,V4,M3} I { ! eqangle( Z, X, Z, Y, T, X, T, Y
% 19.38/19.76 ), ! coll( Z, T, Y ), cyclic( X, Y, Z, T ) }.
% 19.38/19.76 parent1[1]: (19) {G0,W18,D2,L2,V8,M2} I { ! eqangle( X, Y, Z, T, U, W, V0,
% 19.38/19.76 V1 ), eqangle( U, W, V0, V1, X, Y, Z, T ) }.
% 19.38/19.76 substitution0:
% 19.38/19.76 X := Y
% 19.38/19.76 Y := Z
% 19.38/19.76 Z := X
% 19.38/19.76 T := T
% 19.38/19.76 end
% 19.38/19.76 substitution1:
% 19.38/19.76 X := T
% 19.38/19.76 Y := Y
% 19.38/19.76 Z := T
% 19.38/19.76 T := Z
% 19.38/19.76 U := X
% 19.38/19.76 W := Y
% 19.38/19.76 V0 := X
% 19.38/19.76 V1 := Z
% 19.38/19.76 end
% 19.38/19.76
% 19.38/19.76 subsumption: (874) {G1,W18,D2,L3,V4,M3} R(42,19) { ! coll( X, Y, Z ),
% 19.38/19.76 cyclic( T, Z, X, Y ), ! eqangle( Y, T, Y, Z, X, T, X, Z ) }.
% 19.38/19.76 parent0: (60215) {G1,W18,D2,L3,V4,M3} { ! coll( X, T, Z ), cyclic( Y, Z, X
% 19.38/19.76 , T ), ! eqangle( T, Y, T, Z, X, Y, X, Z ) }.
% 19.38/19.76 substitution0:
% 19.38/19.76 X := X
% 19.38/19.76 Y := T
% 19.38/19.76 Z := Z
% 19.38/19.76 T := Y
% 19.38/19.76 end
% 19.38/19.76 permutation0:
% 19.38/19.76 0 ==> 0
% 19.38/19.76 1 ==> 1
% 19.38/19.76 2 ==> 2
% 19.38/19.76 end
% 19.38/19.76
% 19.38/19.76 resolution: (60216) {G1,W25,D2,L5,V4,M5} { ! cyclic( X, Y, Z, X ), !
% 19.38/19.76 cyclic( X, Y, Z, Y ), ! cyclic( X, Y, Z, T ), cong( X, Y, X, Y ), !
% 19.38/19.76 cyclic( X, Y, Z, T ) }.
% 19.38/19.76 parent0[3]: (43) {G0,W29,D2,L5,V6,M5} I { ! cyclic( X, Y, U, Z ), ! cyclic
% 19.38/19.76 ( X, Y, U, T ), ! cyclic( X, Y, U, W ), ! eqangle( U, X, U, Y, W, Z, W, T
% 19.38/19.76 ), cong( X, Y, Z, T ) }.
% 19.38/19.76 parent1[1]: (40) {G0,W14,D2,L2,V4,M2} I { ! cyclic( X, Y, Z, T ), eqangle(
% 19.38/19.76 Z, X, Z, Y, T, X, T, Y ) }.
% 19.38/19.76 substitution0:
% 19.38/19.76 X := X
% 19.38/19.76 Y := Y
% 19.38/19.76 Z := X
% 19.38/19.76 T := Y
% 19.38/19.76 U := Z
% 19.38/19.76 W := T
% 19.38/19.76 end
% 19.38/19.76 substitution1:
% 19.38/19.76 X := X
% 19.38/19.76 Y := Y
% 19.38/19.76 Z := Z
% 19.38/19.76 T := T
% 19.38/19.76 end
% 19.38/19.76
% 19.38/19.76 factor: (60218) {G1,W20,D2,L4,V3,M4} { ! cyclic( X, Y, Z, X ), ! cyclic( X
% 19.38/19.76 , Y, Z, Y ), cong( X, Y, X, Y ), ! cyclic( X, Y, Z, X ) }.
% 19.38/19.76 parent0[0, 2]: (60216) {G1,W25,D2,L5,V4,M5} { ! cyclic( X, Y, Z, X ), !
% 19.38/19.76 cyclic( X, Y, Z, Y ), ! cyclic( X, Y, Z, T ), cong( X, Y, X, Y ), !
% 19.38/19.76 cyclic( X, Y, Z, T ) }.
% 19.38/19.76 substitution0:
% 19.38/19.76 X := X
% 19.38/19.76 Y := Y
% 19.38/19.76 Z := Z
% 19.38/19.76 T := X
% 19.38/19.76 end
% 19.38/19.76
% 19.38/19.76 subsumption: (947) {G1,W20,D2,L4,V4,M4} R(43,40);f { ! cyclic( X, Y, Z, X )
% 19.38/19.76 , ! cyclic( X, Y, Z, Y ), ! cyclic( X, Y, Z, T ), cong( X, Y, X, Y ) }.
% 19.38/19.76 parent0: (60218) {G1,W20,D2,L4,V3,M4} { ! cyclic( X, Y, Z, X ), ! cyclic(
% 19.38/19.76 X, Y, Z, Y ), cong( X, Y, X, Y ), ! cyclic( X, Y, Z, X ) }.
% 19.38/19.76 substitution0:
% 19.38/19.76 X := X
% 19.38/19.76 Y := Y
% 19.38/19.76 Z := Z
% 19.38/19.76 end
% 19.38/19.76 permutation0:
% 19.38/19.76 0 ==> 0
% 19.38/19.76 1 ==> 1
% 19.38/19.76 2 ==> 3
% 19.38/19.76 3 ==> 0
% 19.38/19.76 end
% 19.38/19.76
% 19.38/19.76 factor: (60223) {G1,W15,D2,L3,V3,M3} { ! cyclic( X, Y, Z, X ), ! cyclic( X
% 19.38/19.76 , Y, Z, Y ), cong( X, Y, X, Y ) }.
% 19.38/19.76 parent0[0, 2]: (947) {G1,W20,D2,L4,V4,M4} R(43,40);f { ! cyclic( X, Y, Z, X
% 19.38/19.76 ), ! cyclic( X, Y, Z, Y ), ! cyclic( X, Y, Z, T ), cong( X, Y, X, Y )
% 19.38/19.76 }.
% 19.38/19.76 substitution0:
% 19.38/19.76 X := X
% 19.38/19.76 Y := Y
% 19.38/19.76 Z := Z
% 19.38/19.76 T := X
% 19.38/19.76 end
% 19.38/19.76
% 19.38/19.76 subsumption: (979) {G2,W15,D2,L3,V3,M3} F(947) { ! cyclic( X, Y, Z, X ), !
% 19.38/19.76 cyclic( X, Y, Z, Y ), cong( X, Y, X, Y ) }.
% 19.38/19.76 parent0: (60223) {G1,W15,D2,L3,V3,M3} { ! cyclic( X, Y, Z, X ), ! cyclic(
% 19.38/19.76 X, Y, Z, Y ), cong( X, Y, X, Y ) }.
% 19.38/19.76 substitution0:
% 19.38/19.76 X := X
% 19.38/19.76 Y := Y
% 19.38/19.76 Z := Z
% 19.38/19.76 end
% 19.38/19.76 permutation0:
% 19.38/19.76 0 ==> 0
% 19.38/19.76 1 ==> 1
% 19.38/19.76 2 ==> 2
% 19.38/19.76 end
% 19.38/19.76
% 19.38/19.76 resolution: (60225) {G2,W5,D2,L1,V0,M1} { para( skol24, skol27, skol27,
% 19.38/19.76 skol24 ) }.
% 19.38/19.76 parent0[0]: (295) {G1,W10,D2,L2,V2,M2} R(8,121) { ! perp( skol20, skol26, X
% 19.38/19.76 , Y ), para( skol24, skol27, X, Y ) }.
% 19.38/19.76 parent1[0]: (396) {G2,W5,D2,L1,V0,M1} R(274,6) { perp( skol20, skol26,
% 19.38/19.76 skol27, skol24 ) }.
% 19.38/19.76 substitution0:
% 19.38/19.76 X := skol27
% 19.38/19.76 Y := skol24
% 19.38/19.76 end
% 19.38/19.76 substitution1:
% 19.38/19.76 end
% 19.38/19.76
% 19.38/19.76 subsumption: (17266) {G3,W5,D2,L1,V0,M1} R(295,396) { para( skol24, skol27
% 19.38/19.76 , skol27, skol24 ) }.
% 19.38/19.76 parent0: (60225) {G2,W5,D2,L1,V0,M1} { para( skol24, skol27, skol27,
% 19.38/19.76 skol24 ) }.
% 19.38/19.76 substitution0:
% 19.38/19.76 end
% 19.38/19.76 permutation0:
% 19.38/19.76 0 ==> 0
% 19.38/19.76 end
% 19.38/19.76
% 19.38/19.76 resolution: (60226) {G3,W5,D2,L1,V0,M1} { para( skol27, skol24, skol27,
% 19.38/19.76 skol24 ) }.
% 19.38/19.76 parent0[0]: (254) {G2,W10,D2,L2,V4,M2} F(242) { ! para( X, Y, Z, T ), para
% 19.38/19.76 ( Z, T, Z, T ) }.
% 19.38/19.76 parent1[0]: (17266) {G3,W5,D2,L1,V0,M1} R(295,396) { para( skol24, skol27,
% 19.38/19.76 skol27, skol24 ) }.
% 19.38/19.76 substitution0:
% 19.38/19.76 X := skol24
% 19.38/19.76 Y := skol27
% 19.38/19.76 Z := skol27
% 19.38/19.76 T := skol24
% 19.38/19.76 end
% 19.38/19.76 substitution1:
% 19.38/19.76 end
% 19.38/19.76
% 19.38/19.76 subsumption: (17497) {G4,W5,D2,L1,V0,M1} R(17266,254) { para( skol27,
% 19.38/19.76 skol24, skol27, skol24 ) }.
% 19.38/19.76 parent0: (60226) {G3,W5,D2,L1,V0,M1} { para( skol27, skol24, skol27,
% 19.38/19.76 skol24 ) }.
% 19.38/19.76 substitution0:
% 19.38/19.76 end
% 19.38/19.76 permutation0:
% 19.38/19.76 0 ==> 0
% 19.38/19.76 end
% 19.38/19.76
% 19.38/19.76 resolution: (60227) {G1,W4,D2,L1,V0,M1} { coll( skol27, skol24, skol24 )
% 19.38/19.76 }.
% 19.38/19.76 parent0[0]: (66) {G0,W9,D2,L2,V3,M2} I { ! para( X, Y, X, Z ), coll( X, Y,
% 19.38/19.76 Z ) }.
% 19.38/19.76 parent1[0]: (17497) {G4,W5,D2,L1,V0,M1} R(17266,254) { para( skol27, skol24
% 19.38/19.76 , skol27, skol24 ) }.
% 19.38/19.76 substitution0:
% 19.38/19.76 X := skol27
% 19.38/19.76 Y := skol24
% 19.38/19.76 Z := skol24
% 19.38/19.76 end
% 19.38/19.76 substitution1:
% 19.38/19.76 end
% 19.38/19.76
% 19.38/19.76 subsumption: (17507) {G5,W4,D2,L1,V0,M1} R(17497,66) { coll( skol27, skol24
% 19.38/19.76 , skol24 ) }.
% 19.38/19.76 parent0: (60227) {G1,W4,D2,L1,V0,M1} { coll( skol27, skol24, skol24 ) }.
% 19.38/19.76 substitution0:
% 19.38/19.76 end
% 19.38/19.76 permutation0:
% 19.38/19.76 0 ==> 0
% 19.38/19.76 end
% 19.38/19.76
% 19.38/19.76 resolution: (60228) {G6,W4,D2,L1,V0,M1} { coll( skol27, skol27, skol24 )
% 19.38/19.76 }.
% 19.38/19.76 parent0[0]: (502) {G5,W8,D2,L2,V3,M2} R(227,0) { ! coll( X, Y, Z ), coll( X
% 19.38/19.76 , X, Z ) }.
% 19.38/19.76 parent1[0]: (17507) {G5,W4,D2,L1,V0,M1} R(17497,66) { coll( skol27, skol24
% 19.38/19.76 , skol24 ) }.
% 19.38/19.76 substitution0:
% 19.38/19.76 X := skol27
% 19.38/19.76 Y := skol24
% 19.38/19.76 Z := skol24
% 19.38/19.76 end
% 19.38/19.76 substitution1:
% 19.38/19.76 end
% 19.38/19.76
% 19.38/19.76 subsumption: (17525) {G6,W4,D2,L1,V0,M1} R(17507,502) { coll( skol27,
% 19.38/19.76 skol27, skol24 ) }.
% 19.38/19.76 parent0: (60228) {G6,W4,D2,L1,V0,M1} { coll( skol27, skol27, skol24 ) }.
% 19.38/19.76 substitution0:
% 19.38/19.76 end
% 19.38/19.76 permutation0:
% 19.38/19.76 0 ==> 0
% 19.38/19.76 end
% 19.38/19.76
% 19.38/19.76 resolution: (60229) {G2,W9,D2,L1,V2,M1} { eqangle( X, Y, skol27, skol24, X
% 19.38/19.76 , Y, skol27, skol24 ) }.
% 19.38/19.76 parent0[0]: (819) {G1,W14,D2,L2,V6,M2} R(39,18) { ! para( X, Y, Z, T ),
% 19.38/19.76 eqangle( U, W, X, Y, U, W, Z, T ) }.
% 19.38/19.76 parent1[0]: (17497) {G4,W5,D2,L1,V0,M1} R(17266,254) { para( skol27, skol24
% 19.38/19.76 , skol27, skol24 ) }.
% 19.38/19.76 substitution0:
% 19.38/19.76 X := skol27
% 19.38/19.76 Y := skol24
% 19.38/19.76 Z := skol27
% 19.38/19.76 T := skol24
% 19.38/19.76 U := X
% 19.38/19.76 W := Y
% 19.38/19.76 end
% 19.38/19.76 substitution1:
% 19.38/19.76 end
% 19.38/19.76
% 19.38/19.76 subsumption: (50624) {G5,W9,D2,L1,V2,M1} R(819,17497) { eqangle( X, Y,
% 19.38/19.76 skol27, skol24, X, Y, skol27, skol24 ) }.
% 19.38/19.76 parent0: (60229) {G2,W9,D2,L1,V2,M1} { eqangle( X, Y, skol27, skol24, X, Y
% 19.38/19.76 , skol27, skol24 ) }.
% 19.38/19.76 substitution0:
% 19.38/19.76 X := X
% 19.38/19.76 Y := Y
% 19.38/19.76 end
% 19.38/19.76 permutation0:
% 19.38/19.76 0 ==> 0
% 19.38/19.76 end
% 19.38/19.76
% 19.38/19.76 resolution: (60230) {G2,W14,D2,L2,V1,M2} { cyclic( X, skol24, skol27,
% 19.38/19.76 skol27 ), ! eqangle( skol27, X, skol27, skol24, skol27, X, skol27, skol24
% 19.38/19.76 ) }.
% 19.38/19.76 parent0[0]: (874) {G1,W18,D2,L3,V4,M3} R(42,19) { ! coll( X, Y, Z ), cyclic
% 19.38/19.76 ( T, Z, X, Y ), ! eqangle( Y, T, Y, Z, X, T, X, Z ) }.
% 19.38/19.76 parent1[0]: (17525) {G6,W4,D2,L1,V0,M1} R(17507,502) { coll( skol27, skol27
% 19.38/19.76 , skol24 ) }.
% 19.38/19.76 substitution0:
% 19.38/19.76 X := skol27
% 19.38/19.76 Y := skol27
% 19.38/19.76 Z := skol24
% 19.38/19.76 T := X
% 19.38/19.76 end
% 19.38/19.76 substitution1:
% 19.38/19.76 end
% 19.38/19.76
% 19.38/19.76 resolution: (60231) {G3,W5,D2,L1,V1,M1} { cyclic( X, skol24, skol27,
% 19.38/19.76 skol27 ) }.
% 19.38/19.76 parent0[1]: (60230) {G2,W14,D2,L2,V1,M2} { cyclic( X, skol24, skol27,
% 19.38/19.76 skol27 ), ! eqangle( skol27, X, skol27, skol24, skol27, X, skol27, skol24
% 19.38/19.76 ) }.
% 19.38/19.76 parent1[0]: (50624) {G5,W9,D2,L1,V2,M1} R(819,17497) { eqangle( X, Y,
% 19.38/19.76 skol27, skol24, X, Y, skol27, skol24 ) }.
% 19.38/19.76 substitution0:
% 19.38/19.76 X := X
% 19.38/19.76 end
% 19.38/19.76 substitution1:
% 19.38/19.76 X := skol27
% 19.38/19.76 Y := X
% 19.38/19.76 end
% 19.38/19.76
% 19.38/19.76 subsumption: (53796) {G7,W5,D2,L1,V1,M1} R(874,17525);r(50624) { cyclic( X
% 19.38/19.76 , skol24, skol27, skol27 ) }.
% 19.38/19.76 parent0: (60231) {G3,W5,D2,L1,V1,M1} { cyclic( X, skol24, skol27, skol27 )
% 19.38/19.76 }.
% 19.38/19.76 substitution0:
% 19.38/19.76 X := X
% 19.38/19.76 end
% 19.38/19.76 permutation0:
% 19.38/19.76 0 ==> 0
% 19.38/19.76 end
% 19.38/19.76
% 19.38/19.76 resolution: (60232) {G2,W5,D2,L1,V1,M1} { cyclic( skol24, X, skol27,
% 19.38/19.76 skol27 ) }.
% 19.38/19.76 parent0[1]: (376) {G1,W10,D2,L2,V4,M2} R(15,13) { cyclic( X, Y, Z, T ), !
% 19.38/19.76 cyclic( Y, X, T, Z ) }.
% 19.38/19.76 parent1[0]: (53796) {G7,W5,D2,L1,V1,M1} R(874,17525);r(50624) { cyclic( X,
% 19.38/19.76 skol24, skol27, skol27 ) }.
% 19.38/19.76 substitution0:
% 19.38/19.76 X := skol24
% 19.38/19.76 Y := X
% 19.38/19.76 Z := skol27
% 19.38/19.76 T := skol27
% 19.38/19.76 end
% 19.38/19.76 substitution1:
% 19.38/19.76 X := X
% 19.38/19.76 end
% 19.38/19.76
% 19.38/19.76 subsumption: (54017) {G8,W5,D2,L1,V1,M1} R(53796,376) { cyclic( skol24, X,
% 19.38/19.76 skol27, skol27 ) }.
% 19.38/19.76 parent0: (60232) {G2,W5,D2,L1,V1,M1} { cyclic( skol24, X, skol27, skol27 )
% 19.38/19.76 }.
% 19.38/19.76 substitution0:
% 19.38/19.76 X := X
% 19.38/19.76 end
% 19.38/19.76 permutation0:
% 19.38/19.76 0 ==> 0
% 19.38/19.76 end
% 19.38/19.76
% 19.38/19.76 resolution: (60233) {G3,W5,D2,L1,V1,M1} { cyclic( skol27, X, skol27,
% 19.38/19.76 skol27 ) }.
% 19.38/19.76 parent0[0]: (410) {G2,W10,D2,L2,V4,M2} F(401) { ! cyclic( X, Y, Z, T ),
% 19.38/19.76 cyclic( Z, Y, T, T ) }.
% 19.38/19.76 parent1[0]: (54017) {G8,W5,D2,L1,V1,M1} R(53796,376) { cyclic( skol24, X,
% 19.38/19.76 skol27, skol27 ) }.
% 19.38/19.76 substitution0:
% 19.38/19.76 X := skol24
% 19.38/19.76 Y := X
% 19.38/19.76 Z := skol27
% 19.38/19.76 T := skol27
% 19.38/19.76 end
% 19.38/19.76 substitution1:
% 19.38/19.76 X := X
% 19.38/19.76 end
% 19.38/19.76
% 19.38/19.76 subsumption: (54029) {G9,W5,D2,L1,V1,M1} R(54017,410) { cyclic( skol27, X,
% 19.38/19.76 skol27, skol27 ) }.
% 19.38/19.76 parent0: (60233) {G3,W5,D2,L1,V1,M1} { cyclic( skol27, X, skol27, skol27 )
% 19.38/19.76 }.
% 19.38/19.76 substitution0:
% 19.38/19.76 X := X
% 19.38/19.76 end
% 19.38/19.76 permutation0:
% 19.38/19.76 0 ==> 0
% 19.38/19.76 end
% 19.38/19.76
% 19.38/19.76 resolution: (60234) {G2,W5,D2,L1,V1,M1} { cyclic( skol27, skol27, X,
% 19.38/19.76 skol27 ) }.
% 19.38/19.76 parent0[1]: (374) {G1,W10,D2,L2,V4,M2} R(15,14) { cyclic( X, Y, Z, T ), !
% 19.38/19.76 cyclic( Y, Z, X, T ) }.
% 19.38/19.76 parent1[0]: (54029) {G9,W5,D2,L1,V1,M1} R(54017,410) { cyclic( skol27, X,
% 19.38/19.76 skol27, skol27 ) }.
% 19.38/19.76 substitution0:
% 19.38/19.76 X := skol27
% 19.38/19.76 Y := skol27
% 19.38/19.76 Z := X
% 19.38/19.76 T := skol27
% 19.38/19.76 end
% 19.38/19.76 substitution1:
% 19.38/19.76 X := X
% 19.38/19.76 end
% 19.38/19.76
% 19.38/19.76 subsumption: (54051) {G10,W5,D2,L1,V1,M1} R(54029,374) { cyclic( skol27,
% 19.38/19.76 skol27, X, skol27 ) }.
% 19.38/19.76 parent0: (60234) {G2,W5,D2,L1,V1,M1} { cyclic( skol27, skol27, X, skol27 )
% 19.38/19.76 }.
% 19.38/19.76 substitution0:
% 19.38/19.76 X := X
% 19.38/19.76 end
% 19.38/19.76 permutation0:
% 19.38/19.76 0 ==> 0
% 19.38/19.76 end
% 19.38/19.76
% 19.38/19.76 resolution: (60235) {G2,W5,D2,L1,V1,M1} { cyclic( skol27, skol27, skol27,
% 19.38/19.76 X ) }.
% 19.38/19.76 parent0[0]: (359) {G1,W10,D2,L2,V4,M2} R(14,13) { ! cyclic( X, Y, Z, T ),
% 19.38/19.76 cyclic( X, Z, T, Y ) }.
% 19.38/19.76 parent1[0]: (54029) {G9,W5,D2,L1,V1,M1} R(54017,410) { cyclic( skol27, X,
% 19.38/19.76 skol27, skol27 ) }.
% 19.38/19.76 substitution0:
% 19.38/19.76 X := skol27
% 19.38/19.76 Y := X
% 19.38/19.76 Z := skol27
% 19.38/19.76 T := skol27
% 19.38/19.76 end
% 19.38/19.76 substitution1:
% 19.38/19.76 X := X
% 19.38/19.76 end
% 19.38/19.76
% 19.38/19.76 subsumption: (54052) {G10,W5,D2,L1,V1,M1} R(54029,359) { cyclic( skol27,
% 19.38/19.76 skol27, skol27, X ) }.
% 19.38/19.76 parent0: (60235) {G2,W5,D2,L1,V1,M1} { cyclic( skol27, skol27, skol27, X )
% 19.38/19.76 }.
% 19.38/19.76 substitution0:
% 19.38/19.76 X := X
% 19.38/19.76 end
% 19.38/19.76 permutation0:
% 19.38/19.76 0 ==> 0
% 19.38/19.76 end
% 19.38/19.76
% 19.38/19.76 resolution: (60237) {G2,W10,D2,L2,V2,M2} { ! cyclic( skol27, skol27,
% 19.38/19.76 skol27, X ), cyclic( skol27, skol27, X, Y ) }.
% 19.38/19.76 parent0[2]: (406) {G1,W15,D2,L3,V5,M3} R(16,13) { ! cyclic( X, Y, Z, T ),
% 19.38/19.76 cyclic( Y, Z, T, U ), ! cyclic( X, Y, U, Z ) }.
% 19.38/19.76 parent1[0]: (54051) {G10,W5,D2,L1,V1,M1} R(54029,374) { cyclic( skol27,
% 19.38/19.76 skol27, X, skol27 ) }.
% 19.38/19.76 substitution0:
% 19.38/19.76 X := skol27
% 19.38/19.76 Y := skol27
% 19.38/19.76 Z := skol27
% 19.38/19.76 T := X
% 19.38/19.76 U := Y
% 19.38/19.76 end
% 19.38/19.76 substitution1:
% 19.38/19.76 X := Y
% 19.38/19.76 end
% 19.38/19.76
% 19.38/19.76 resolution: (60238) {G3,W5,D2,L1,V2,M1} { cyclic( skol27, skol27, X, Y )
% 19.38/19.76 }.
% 19.38/19.76 parent0[0]: (60237) {G2,W10,D2,L2,V2,M2} { ! cyclic( skol27, skol27,
% 19.38/19.76 skol27, X ), cyclic( skol27, skol27, X, Y ) }.
% 19.38/19.76 parent1[0]: (54052) {G10,W5,D2,L1,V1,M1} R(54029,359) { cyclic( skol27,
% 19.38/19.76 skol27, skol27, X ) }.
% 19.38/19.76 substitution0:
% 19.38/19.76 X := X
% 19.38/19.76 Y := Y
% 19.38/19.76 end
% 19.38/19.76 substitution1:
% 19.38/19.76 X := X
% 19.38/19.76 end
% 19.38/19.76
% 19.38/19.76 subsumption: (54057) {G11,W5,D2,L1,V2,M1} R(54051,406);r(54052) { cyclic(
% 19.38/19.76 skol27, skol27, X, Y ) }.
% 19.38/19.76 parent0: (60238) {G3,W5,D2,L1,V2,M1} { cyclic( skol27, skol27, X, Y ) }.
% 19.38/19.76 substitution0:
% 19.38/19.76 X := X
% 19.38/19.76 Y := Y
% 19.38/19.76 end
% 19.38/19.76 permutation0:
% 19.38/19.76 0 ==> 0
% 19.38/19.76 end
% 19.38/19.76
% 19.38/19.76 resolution: (60239) {G2,W10,D2,L2,V3,M2} { cyclic( skol27, X, Y, Z ), !
% 19.38/19.76 cyclic( skol27, skol27, Z, X ) }.
% 19.38/19.76 parent0[0]: (406) {G1,W15,D2,L3,V5,M3} R(16,13) { ! cyclic( X, Y, Z, T ),
% 19.38/19.76 cyclic( Y, Z, T, U ), ! cyclic( X, Y, U, Z ) }.
% 19.38/19.76 parent1[0]: (54057) {G11,W5,D2,L1,V2,M1} R(54051,406);r(54052) { cyclic(
% 19.38/19.76 skol27, skol27, X, Y ) }.
% 19.38/19.76 substitution0:
% 19.38/19.76 X := skol27
% 19.38/19.76 Y := skol27
% 19.38/19.76 Z := X
% 19.38/19.76 T := Y
% 19.38/19.76 U := Z
% 19.38/19.76 end
% 19.38/19.76 substitution1:
% 19.38/19.76 X := X
% 19.38/19.76 Y := Y
% 19.38/19.76 end
% 19.38/19.76
% 19.38/19.76 resolution: (60241) {G3,W5,D2,L1,V3,M1} { cyclic( skol27, X, Y, Z ) }.
% 19.38/19.76 parent0[1]: (60239) {G2,W10,D2,L2,V3,M2} { cyclic( skol27, X, Y, Z ), !
% 19.38/19.76 cyclic( skol27, skol27, Z, X ) }.
% 19.38/19.76 parent1[0]: (54057) {G11,W5,D2,L1,V2,M1} R(54051,406);r(54052) { cyclic(
% 19.38/19.76 skol27, skol27, X, Y ) }.
% 19.38/19.76 substitution0:
% 19.38/19.76 X := X
% 19.38/19.76 Y := Y
% 19.38/19.76 Z := Z
% 19.38/19.76 end
% 19.38/19.76 substitution1:
% 19.38/19.76 X := Z
% 19.38/19.76 Y := X
% 19.38/19.76 end
% 19.38/19.76
% 19.38/19.76 subsumption: (54344) {G12,W5,D2,L1,V3,M1} R(54057,406);r(54057) { cyclic(
% 19.38/19.76 skol27, X, Y, Z ) }.
% 19.38/19.76 parent0: (60241) {G3,W5,D2,L1,V3,M1} { cyclic( skol27, X, Y, Z ) }.
% 19.38/19.76 substitution0:
% 19.38/19.76 X := X
% 19.38/19.76 Y := Y
% 19.38/19.76 Z := Z
% 19.38/19.76 end
% 19.38/19.76 permutation0:
% 19.38/19.76 0 ==> 0
% 19.38/19.76 end
% 19.38/19.76
% 19.38/19.76 resolution: (60242) {G2,W10,D2,L2,V4,M2} { cyclic( X, Y, Z, T ), ! cyclic
% 19.38/19.76 ( skol27, X, T, Y ) }.
% 19.38/19.76 parent0[0]: (406) {G1,W15,D2,L3,V5,M3} R(16,13) { ! cyclic( X, Y, Z, T ),
% 19.38/19.76 cyclic( Y, Z, T, U ), ! cyclic( X, Y, U, Z ) }.
% 19.38/19.76 parent1[0]: (54344) {G12,W5,D2,L1,V3,M1} R(54057,406);r(54057) { cyclic(
% 19.38/19.76 skol27, X, Y, Z ) }.
% 19.38/19.76 substitution0:
% 19.38/19.76 X := skol27
% 19.38/19.76 Y := X
% 19.38/19.76 Z := Y
% 19.38/19.76 T := Z
% 19.38/19.76 U := T
% 19.38/19.76 end
% 19.38/19.76 substitution1:
% 19.38/19.76 X := X
% 19.38/19.76 Y := Y
% 19.38/19.76 Z := Z
% 19.38/19.76 end
% 19.38/19.76
% 19.38/19.76 resolution: (60244) {G3,W5,D2,L1,V4,M1} { cyclic( X, Y, Z, T ) }.
% 19.38/19.76 parent0[1]: (60242) {G2,W10,D2,L2,V4,M2} { cyclic( X, Y, Z, T ), ! cyclic
% 19.38/19.76 ( skol27, X, T, Y ) }.
% 19.38/19.76 parent1[0]: (54344) {G12,W5,D2,L1,V3,M1} R(54057,406);r(54057) { cyclic(
% 19.38/19.76 skol27, X, Y, Z ) }.
% 19.38/19.76 substitution0:
% 19.38/19.76 X := X
% 19.38/19.76 Y := Y
% 19.38/19.76 Z := Z
% 19.38/19.76 T := T
% 19.38/19.76 end
% 19.38/19.76 substitution1:
% 19.38/19.76 X := X
% 19.38/19.76 Y := T
% 19.38/19.76 Z := Y
% 19.38/19.76 end
% 19.38/19.76
% 19.38/19.76 subsumption: (54363) {G13,W5,D2,L1,V4,M1} R(54344,406);r(54344) { cyclic( X
% 19.38/19.76 , Y, Z, T ) }.
% 19.38/19.76 parent0: (60244) {G3,W5,D2,L1,V4,M1} { cyclic( X, Y, Z, T ) }.
% 19.38/19.76 substitution0:
% 19.38/19.76 X := X
% 19.38/19.76 Y := Y
% 19.38/19.76 Z := Z
% 19.38/19.76 T := T
% 19.38/19.76 end
% 19.38/19.76 permutation0:
% 19.38/19.76 0 ==> 0
% 19.38/19.76 end
% 19.38/19.76
% 19.38/19.76 resolution: (60247) {G3,W10,D2,L2,V3,M2} { ! cyclic( X, Y, Z, Y ), cong( X
% 19.38/19.76 , Y, X, Y ) }.
% 19.38/19.76 parent0[0]: (979) {G2,W15,D2,L3,V3,M3} F(947) { ! cyclic( X, Y, Z, X ), !
% 19.38/19.76 cyclic( X, Y, Z, Y ), cong( X, Y, X, Y ) }.
% 19.38/19.76 parent1[0]: (54363) {G13,W5,D2,L1,V4,M1} R(54344,406);r(54344) { cyclic( X
% 19.38/19.76 , Y, Z, T ) }.
% 19.38/19.76 substitution0:
% 19.38/19.76 X := X
% 19.38/19.76 Y := Y
% 19.38/19.76 Z := Z
% 19.38/19.76 end
% 19.38/19.76 substitution1:
% 19.38/19.76 X := X
% 19.38/19.76 Y := Y
% 19.38/19.76 Z := Z
% 19.38/19.76 T := X
% 19.38/19.76 end
% 19.38/19.76
% 19.38/19.76 resolution: (60249) {G4,W5,D2,L1,V2,M1} { cong( X, Y, X, Y ) }.
% 19.38/19.76 parent0[0]: (60247) {G3,W10,D2,L2,V3,M2} { ! cyclic( X, Y, Z, Y ), cong( X
% 19.38/19.76 , Y, X, Y ) }.
% 19.38/19.76 parent1[0]: (54363) {G13,W5,D2,L1,V4,M1} R(54344,406);r(54344) { cyclic( X
% 19.38/19.76 , Y, Z, T ) }.
% 19.38/19.76 substitution0:
% 19.38/19.76 X := X
% 19.38/19.76 Y := Y
% 19.38/19.76 Z := Z
% 19.38/19.76 end
% 19.38/19.76 substitution1:
% 19.38/19.76 X := X
% 19.38/19.76 Y := Y
% 19.38/19.76 Z := Z
% 19.38/19.76 T := Y
% 19.38/19.76 end
% 19.38/19.76
% 19.38/19.76 subsumption: (59527) {G14,W5,D2,L1,V2,M1} S(979);r(54363);r(54363) { cong(
% 19.38/19.76 X, Y, X, Y ) }.
% 19.38/19.76 parent0: (60249) {G4,W5,D2,L1,V2,M1} { cong( X, Y, X, Y ) }.
% 19.38/19.76 substitution0:
% 19.38/19.76 X := X
% 19.38/19.76 Y := Y
% 19.38/19.76 end
% 19.38/19.76 permutation0:
% 19.38/19.76 0 ==> 0
% 19.38/19.76 end
% 19.38/19.76
% 19.38/19.76 resolution: (60250) {G1,W10,D2,L2,V3,M2} { ! cong( X, Z, X, Z ), perp( X,
% 19.38/19.76 X, Y, Z ) }.
% 19.38/19.76 parent0[0]: (56) {G0,W15,D2,L3,V4,M3} I { ! cong( X, Z, Y, Z ), ! cong( X,
% 19.38/19.76 T, Y, T ), perp( X, Y, Z, T ) }.
% 19.38/19.76 parent1[0]: (59527) {G14,W5,D2,L1,V2,M1} S(979);r(54363);r(54363) { cong( X
% 19.38/19.76 , Y, X, Y ) }.
% 19.38/19.76 substitution0:
% 19.38/19.76 X := X
% 19.38/19.76 Y := X
% 19.38/19.76 Z := Y
% 19.38/19.76 T := Z
% 19.38/19.76 end
% 19.38/19.76 substitution1:
% 19.38/19.76 X := X
% 19.38/19.76 Y := Y
% 19.38/19.76 end
% 19.38/19.76
% 19.38/19.76 resolution: (60252) {G2,W5,D2,L1,V3,M1} { perp( X, X, Z, Y ) }.
% 19.38/19.76 parent0[0]: (60250) {G1,W10,D2,L2,V3,M2} { ! cong( X, Z, X, Z ), perp( X,
% 19.38/19.76 X, Y, Z ) }.
% 19.38/19.76 parent1[0]: (59527) {G14,W5,D2,L1,V2,M1} S(979);r(54363);r(54363) { cong( X
% 19.38/19.76 , Y, X, Y ) }.
% 19.38/19.76 substitution0:
% 19.38/19.76 X := X
% 19.38/19.76 Y := Z
% 19.38/19.76 Z := Y
% 19.38/19.76 end
% 19.38/19.76 substitution1:
% 19.38/19.76 X := X
% 19.38/19.76 Y := Y
% 19.38/19.76 end
% 19.38/19.76
% 19.38/19.76 subsumption: (59544) {G15,W5,D2,L1,V3,M1} R(59527,56);r(59527) { perp( X, X
% 19.38/19.76 , Z, Y ) }.
% 19.38/19.76 parent0: (60252) {G2,W5,D2,L1,V3,M1} { perp( X, X, Z, Y ) }.
% 19.38/19.76 substitution0:
% 19.38/19.76 X := X
% 19.38/19.76 Y := Y
% 19.38/19.76 Z := Z
% 19.38/19.76 end
% 19.38/19.76 permutation0:
% 19.38/19.76 0 ==> 0
% 19.38/19.76 end
% 19.38/19.76
% 19.38/19.76 resolution: (60253) {G2,W10,D2,L2,V5,M2} { para( T, U, Y, Z ), ! perp( X,
% 19.38/19.76 X, T, U ) }.
% 19.38/19.76 parent0[0]: (285) {G1,W15,D2,L3,V6,M3} R(8,7) { ! perp( X, Y, Z, T ), para
% 19.38/19.76 ( U, W, Z, T ), ! perp( X, Y, U, W ) }.
% 19.38/19.76 parent1[0]: (59544) {G15,W5,D2,L1,V3,M1} R(59527,56);r(59527) { perp( X, X
% 19.38/19.76 , Z, Y ) }.
% 19.38/19.76 substitution0:
% 19.38/19.76 X := X
% 19.38/19.76 Y := X
% 19.38/19.76 Z := Y
% 19.38/19.76 T := Z
% 19.38/19.76 U := T
% 19.38/19.76 W := U
% 19.38/19.76 end
% 19.38/19.76 substitution1:
% 19.38/19.76 X := X
% 19.38/19.76 Y := Z
% 19.38/19.76 Z := Y
% 19.38/19.76 end
% 19.38/19.76
% 19.38/19.76 resolution: (60255) {G3,W5,D2,L1,V4,M1} { para( X, Y, Z, T ) }.
% 19.38/19.76 parent0[1]: (60253) {G2,W10,D2,L2,V5,M2} { para( T, U, Y, Z ), ! perp( X,
% 19.38/19.76 X, T, U ) }.
% 19.38/19.76 parent1[0]: (59544) {G15,W5,D2,L1,V3,M1} R(59527,56);r(59527) { perp( X, X
% 19.38/19.76 , Z, Y ) }.
% 19.38/19.76 substitution0:
% 19.38/19.76 X := U
% 19.38/19.76 Y := Z
% 19.38/19.76 Z := T
% 19.38/19.76 T := X
% 19.38/19.76 U := Y
% 19.38/19.76 end
% 19.38/19.76 substitution1:
% 19.38/19.76 X := U
% 19.38/19.76 Y := Y
% 19.38/19.76 Z := X
% 19.38/19.76 end
% 19.38/19.76
% 19.38/19.76 subsumption: (59581) {G16,W5,D2,L1,V4,M1} R(59544,285);r(59544) { para( X,
% 19.38/19.76 Y, Z, T ) }.
% 19.38/19.76 parent0: (60255) {G3,W5,D2,L1,V4,M1} { para( X, Y, Z, T ) }.
% 19.38/19.76 substitution0:
% 19.38/19.76 X := X
% 19.38/19.76 Y := Y
% 19.38/19.76 Z := Z
% 19.38/19.76 T := T
% 19.38/19.76 end
% 19.38/19.76 permutation0:
% 19.38/19.76 0 ==> 0
% 19.38/19.76 end
% 19.38/19.76
% 19.38/19.76 resolution: (60256) {G3,W5,D2,L1,V2,M1} { ! para( X, Y, skol23, skol24 )
% 19.38/19.76 }.
% 19.38/19.76 parent0[0]: (483) {G2,W10,D2,L2,V2,M2} R(233,5) { ! para( skol20, skol22, X
% 19.38/19.76 , Y ), ! para( X, Y, skol23, skol24 ) }.
% 19.38/19.76 parent1[0]: (59581) {G16,W5,D2,L1,V4,M1} R(59544,285);r(59544) { para( X, Y
% 19.38/19.76 , Z, T ) }.
% 19.38/19.76 substitution0:
% 19.38/19.76 X := X
% 19.38/19.76 Y := Y
% 19.38/19.76 end
% 19.38/19.76 substitution1:
% 19.38/19.76 X := skol20
% 19.38/19.76 Y := skol22
% 19.38/19.76 Z := X
% 19.38/19.76 T := Y
% 19.38/19.76 end
% 19.38/19.76
% 19.38/19.76 resolution: (60258) {G4,W0,D0,L0,V0,M0} { }.
% 19.38/19.76 parent0[0]: (60256) {G3,W5,D2,L1,V2,M1} { ! para( X, Y, skol23, skol24 )
% 19.38/19.76 }.
% 19.38/19.76 parent1[0]: (59581) {G16,W5,D2,L1,V4,M1} R(59544,285);r(59544) { para( X, Y
% 19.38/19.76 , Z, T ) }.
% 19.38/19.76 substitution0:
% 19.38/19.76 X := X
% 19.38/19.76 Y := Y
% 19.38/19.76 end
% 19.38/19.76 substitution1:
% 19.38/19.76 X := X
% 19.38/19.76 Y := Y
% 19.38/19.76 Z := skol23
% 19.38/19.76 T := skol24
% 19.38/19.76 end
% 19.38/19.76
% 19.38/19.76 subsumption: (59777) {G17,W0,D0,L0,V0,M0} R(59581,483);r(59581) { }.
% 19.38/19.76 parent0: (60258) {G4,W0,D0,L0,V0,M0} { }.
% 19.38/19.76 substitution0:
% 19.38/19.76 end
% 19.38/19.76 permutation0:
% 19.38/19.76 end
% 19.38/19.76
% 19.38/19.76 Proof check complete!
% 19.38/19.76
% 19.38/19.76 Memory use:
% 19.38/19.76
% 19.38/19.76 space for terms: 835000
% 19.38/19.76 space for clauses: 2524016
% 19.38/19.76
% 19.38/19.76
% 19.38/19.76 clauses generated: 485117
% 19.38/19.76 clauses kept: 59778
% 19.38/19.76 clauses selected: 3227
% 19.38/19.76 clauses deleted: 5391
% 19.38/19.76 clauses inuse deleted: 200
% 19.38/19.76
% 19.38/19.76 subsentry: 25973591
% 19.38/19.76 literals s-matched: 14778333
% 19.38/19.76 literals matched: 8539556
% 19.38/19.76 full subsumption: 2133747
% 19.38/19.76
% 19.38/19.76 checksum: 873611125
% 19.38/19.76
% 19.38/19.76
% 19.38/19.76 Bliksem ended
%------------------------------------------------------------------------------