TSTP Solution File: GEO606+1 by Bliksem---1.12
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- Process Solution
%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : GEO606+1 : TPTP v8.1.0. Released v7.5.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n009.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 02:55:03 EDT 2022
% Result : Theorem 15.35s 15.78s
% Output : Refutation 15.35s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : GEO606+1 : TPTP v8.1.0. Released v7.5.0.
% 0.11/0.12 % Command : bliksem %s
% 0.13/0.33 % Computer : n009.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % DateTime : Sat Jun 18 04:29:22 EDT 2022
% 0.13/0.33 % CPUTime :
% 0.83/1.18 *** allocated 10000 integers for termspace/termends
% 0.83/1.18 *** allocated 10000 integers for clauses
% 0.83/1.18 *** allocated 10000 integers for justifications
% 0.83/1.18 Bliksem 1.12
% 0.83/1.18
% 0.83/1.18
% 0.83/1.18 Automatic Strategy Selection
% 0.83/1.18
% 0.83/1.18 *** allocated 15000 integers for termspace/termends
% 0.83/1.18
% 0.83/1.18 Clauses:
% 0.83/1.18
% 0.83/1.18 { ! coll( X, Y, Z ), coll( X, Z, Y ) }.
% 0.83/1.18 { ! coll( X, Y, Z ), coll( Y, X, Z ) }.
% 0.83/1.18 { ! coll( X, T, Y ), ! coll( X, T, Z ), coll( Y, Z, X ) }.
% 0.83/1.18 { ! para( X, Y, Z, T ), para( X, Y, T, Z ) }.
% 0.83/1.18 { ! para( X, Y, Z, T ), para( Z, T, X, Y ) }.
% 0.83/1.18 { ! para( X, Y, U, W ), ! para( U, W, Z, T ), para( X, Y, Z, T ) }.
% 0.83/1.18 { ! perp( X, Y, Z, T ), perp( X, Y, T, Z ) }.
% 0.83/1.18 { ! perp( X, Y, Z, T ), perp( Z, T, X, Y ) }.
% 0.83/1.18 { ! perp( X, Y, U, W ), ! perp( U, W, Z, T ), para( X, Y, Z, T ) }.
% 0.83/1.18 { ! para( X, Y, U, W ), ! perp( U, W, Z, T ), perp( X, Y, Z, T ) }.
% 0.83/1.18 { ! midp( Z, Y, X ), midp( Z, X, Y ) }.
% 0.83/1.18 { ! cong( T, X, T, Y ), ! cong( T, X, T, Z ), circle( T, X, Y, Z ) }.
% 0.83/1.18 { ! cong( U, X, U, Y ), ! cong( U, X, U, Z ), ! cong( U, X, U, T ), cyclic
% 0.83/1.18 ( X, Y, Z, T ) }.
% 0.83/1.18 { ! cyclic( X, Y, Z, T ), cyclic( X, Y, T, Z ) }.
% 0.83/1.18 { ! cyclic( X, Y, Z, T ), cyclic( X, Z, Y, T ) }.
% 0.83/1.18 { ! cyclic( X, Y, Z, T ), cyclic( Y, X, Z, T ) }.
% 0.83/1.18 { ! cyclic( U, X, Y, Z ), ! cyclic( U, X, Y, T ), cyclic( X, Y, Z, T ) }.
% 0.83/1.18 { ! eqangle( X, Y, Z, T, U, W, V0, V1 ), eqangle( Y, X, Z, T, U, W, V0, V1
% 0.83/1.18 ) }.
% 0.83/1.18 { ! eqangle( X, Y, Z, T, U, W, V0, V1 ), eqangle( Z, T, X, Y, V0, V1, U, W
% 0.83/1.18 ) }.
% 0.83/1.18 { ! eqangle( X, Y, Z, T, U, W, V0, V1 ), eqangle( U, W, V0, V1, X, Y, Z, T
% 0.83/1.18 ) }.
% 0.83/1.18 { ! eqangle( X, Y, Z, T, U, W, V0, V1 ), eqangle( X, Y, U, W, Z, T, V0, V1
% 0.83/1.18 ) }.
% 0.83/1.18 { ! eqangle( X, Y, Z, T, V2, V3, V4, V5 ), ! eqangle( V2, V3, V4, V5, U, W
% 0.83/1.18 , V0, V1 ), eqangle( X, Y, Z, T, U, W, V0, V1 ) }.
% 0.83/1.18 { ! cong( X, Y, Z, T ), cong( X, Y, T, Z ) }.
% 0.83/1.18 { ! cong( X, Y, Z, T ), cong( Z, T, X, Y ) }.
% 0.83/1.18 { ! cong( X, Y, U, W ), ! cong( U, W, Z, T ), cong( X, Y, Z, T ) }.
% 0.83/1.18 { ! eqratio( X, Y, Z, T, U, W, V0, V1 ), eqratio( Y, X, Z, T, U, W, V0, V1
% 0.83/1.18 ) }.
% 0.83/1.18 { ! eqratio( X, Y, Z, T, U, W, V0, V1 ), eqratio( Z, T, X, Y, V0, V1, U, W
% 0.83/1.18 ) }.
% 0.83/1.18 { ! eqratio( X, Y, Z, T, U, W, V0, V1 ), eqratio( U, W, V0, V1, X, Y, Z, T
% 0.83/1.18 ) }.
% 0.83/1.18 { ! eqratio( X, Y, Z, T, U, W, V0, V1 ), eqratio( X, Y, U, W, Z, T, V0, V1
% 0.83/1.18 ) }.
% 0.83/1.18 { ! eqratio( X, Y, Z, T, V2, V3, V4, V5 ), ! eqratio( V2, V3, V4, V5, U, W
% 0.83/1.18 , V0, V1 ), eqratio( X, Y, Z, T, U, W, V0, V1 ) }.
% 0.83/1.18 { ! simtri( X, Z, Y, T, W, U ), simtri( X, Y, Z, T, U, W ) }.
% 0.83/1.18 { ! simtri( Y, X, Z, U, T, W ), simtri( X, Y, Z, T, U, W ) }.
% 0.83/1.18 { ! simtri( T, U, W, X, Y, Z ), simtri( X, Y, Z, T, U, W ) }.
% 0.83/1.18 { ! simtri( X, Y, Z, V0, V1, V2 ), ! simtri( V0, V1, V2, T, U, W ), simtri
% 0.83/1.18 ( X, Y, Z, T, U, W ) }.
% 0.83/1.18 { ! contri( X, Z, Y, T, W, U ), contri( X, Y, Z, T, U, W ) }.
% 0.83/1.18 { ! contri( Y, X, Z, U, T, W ), contri( X, Y, Z, T, U, W ) }.
% 0.83/1.18 { ! contri( T, U, W, X, Y, Z ), contri( X, Y, Z, T, U, W ) }.
% 0.83/1.18 { ! contri( X, Y, Z, V0, V1, V2 ), ! contri( V0, V1, V2, T, U, W ), contri
% 0.83/1.18 ( X, Y, Z, T, U, W ) }.
% 0.83/1.18 { ! eqangle( X, Y, U, W, Z, T, U, W ), para( X, Y, Z, T ) }.
% 0.83/1.18 { ! para( X, Y, Z, T ), eqangle( X, Y, U, W, Z, T, U, W ) }.
% 0.83/1.18 { ! cyclic( X, Y, Z, T ), eqangle( Z, X, Z, Y, T, X, T, Y ) }.
% 0.83/1.18 { ! eqangle( Z, X, Z, Y, T, X, T, Y ), coll( Z, T, X ), cyclic( X, Y, Z, T
% 0.83/1.18 ) }.
% 0.83/1.18 { ! eqangle( Z, X, Z, Y, T, X, T, Y ), ! coll( Z, T, Y ), cyclic( X, Y, Z,
% 0.83/1.18 T ) }.
% 0.83/1.18 { ! cyclic( X, Y, U, Z ), ! cyclic( X, Y, U, T ), ! cyclic( X, Y, U, W ), !
% 0.83/1.18 eqangle( U, X, U, Y, W, Z, W, T ), cong( X, Y, Z, T ) }.
% 0.83/1.18 { ! midp( Z, U, X ), ! midp( T, U, Y ), para( Z, T, X, Y ) }.
% 0.83/1.18 { ! midp( U, X, T ), ! para( U, Z, T, Y ), ! coll( Z, X, Y ), midp( Z, X, Y
% 0.83/1.18 ) }.
% 0.83/1.18 { ! cong( Z, X, Z, Y ), eqangle( Z, X, X, Y, X, Y, Z, Y ) }.
% 0.83/1.18 { ! eqangle( Z, X, X, Y, X, Y, Z, Y ), coll( Z, X, Y ), cong( Z, X, Z, Y )
% 0.83/1.18 }.
% 0.83/1.18 { ! circle( U, X, Y, Z ), ! perp( U, X, X, T ), eqangle( X, T, X, Y, Z, X,
% 0.83/1.18 Z, Y ) }.
% 0.83/1.18 { ! circle( Y, X, T, U ), ! eqangle( X, Z, X, T, U, X, U, T ), perp( Y, X,
% 0.83/1.18 X, Z ) }.
% 0.83/1.18 { ! circle( T, X, Y, Z ), ! midp( U, Y, Z ), eqangle( X, Y, X, Z, T, Y, T,
% 0.83/1.18 U ) }.
% 0.83/1.18 { ! circle( U, T, X, Y ), ! coll( Z, X, Y ), ! eqangle( T, X, T, Y, U, X, U
% 0.83/1.18 , Z ), midp( Z, X, Y ) }.
% 0.83/1.18 { ! perp( X, Y, Y, T ), ! midp( Z, X, T ), cong( X, Z, Y, Z ) }.
% 0.83/1.18 { ! circle( T, X, Y, Z ), ! coll( T, X, Z ), perp( X, Y, Y, Z ) }.
% 0.83/1.18 { ! cyclic( X, Y, Z, T ), ! para( X, Y, Z, T ), eqangle( X, T, Z, T, Z, T,
% 0.83/1.18 Z, Y ) }.
% 0.83/1.18 { ! midp( T, X, Y ), ! perp( Z, T, X, Y ), cong( Z, X, Z, Y ) }.
% 0.83/1.18 { ! cong( X, Z, Y, Z ), ! cong( X, T, Y, T ), perp( X, Y, Z, T ) }.
% 0.83/1.18 { ! cong( X, Y, T, Y ), ! cong( X, Z, T, Z ), ! cyclic( X, T, Y, Z ), perp
% 0.83/1.18 ( Y, X, X, Z ) }.
% 0.83/1.18 { ! eqangle( X, Y, Y, Z, T, U, U, W ), ! eqangle( X, Z, Y, Z, T, W, U, W )
% 0.83/1.18 , coll( X, Y, Z ), simtri( X, Y, Z, T, U, W ) }.
% 0.83/1.18 { ! simtri( X, Y, Z, T, U, W ), eqratio( X, Y, X, Z, T, U, T, W ) }.
% 0.83/1.18 { ! simtri( X, Y, Z, T, U, W ), eqangle( X, Y, Y, Z, T, U, U, W ) }.
% 0.83/1.18 { ! simtri( X, Y, Z, T, U, W ), ! cong( X, Y, T, U ), contri( X, Y, Z, T, U
% 0.83/1.18 , W ) }.
% 0.83/1.18 { ! contri( X, Y, U, Z, T, W ), cong( X, Y, Z, T ) }.
% 0.83/1.18 { ! midp( U, X, Y ), ! midp( U, Z, T ), para( X, Z, Y, T ) }.
% 0.83/1.18 { ! midp( Z, T, U ), ! para( T, X, U, Y ), ! para( T, Y, U, X ), midp( Z, X
% 0.83/1.18 , Y ) }.
% 0.83/1.18 { ! para( X, Y, Z, T ), ! coll( U, X, Z ), ! coll( U, Y, T ), eqratio( U, X
% 0.83/1.18 , X, Z, U, Y, Y, T ) }.
% 0.83/1.18 { ! para( X, Y, X, Z ), coll( X, Y, Z ) }.
% 0.83/1.18 { ! cong( X, Y, X, Z ), ! coll( X, Y, Z ), midp( X, Y, Z ) }.
% 0.83/1.18 { ! midp( X, Y, Z ), cong( X, Y, X, Z ) }.
% 0.83/1.18 { ! midp( X, Y, Z ), coll( X, Y, Z ) }.
% 0.83/1.18 { ! midp( U, X, Y ), ! midp( W, Z, T ), eqratio( U, X, X, Y, W, Z, Z, T ) }
% 0.83/1.18 .
% 0.83/1.18 { ! eqangle( X, Y, Z, T, Z, T, X, Y ), para( X, Y, Z, T ), perp( X, Y, Z, T
% 0.83/1.18 ) }.
% 0.83/1.18 { ! eqangle( X, Y, Z, T, Z, T, X, Y ), perp( X, Y, Z, T ), para( X, Y, Z, T
% 0.83/1.18 ) }.
% 0.83/1.18 { ! eqangle( X, Y, Z, T, U, W, V0, V1 ), ! para( U, W, V0, V1 ), para( X, Y
% 0.83/1.18 , Z, T ) }.
% 0.83/1.18 { ! eqangle( X, Y, Z, T, U, W, V0, V1 ), ! perp( U, W, V0, V1 ), perp( X, Y
% 0.83/1.18 , Z, T ) }.
% 0.83/1.18 { ! eqratio( X, Y, Z, T, U, W, V0, V1 ), ! cong( U, W, V0, V1 ), cong( X, Y
% 0.83/1.18 , Z, T ) }.
% 0.83/1.18 { ! perp( Z, Y, Y, X ), ! eqangle( T, Z, Y, Z, Y, Z, X, Z ), coll( skol1( U
% 0.83/1.18 , W, Z, T ), Z, T ) }.
% 0.83/1.18 { ! perp( Z, Y, Y, X ), ! eqangle( T, Z, Y, Z, Y, Z, X, Z ), coll( skol1( X
% 0.83/1.18 , Y, Z, T ), X, Y ) }.
% 0.83/1.18 { ! cong( Z, X, Z, Y ), ! eqangle( X, Z, Z, T, Z, T, Z, Y ), coll( skol2( U
% 0.83/1.18 , W, Z, T ), Z, T ) }.
% 0.83/1.18 { ! cong( Z, X, Z, Y ), ! eqangle( X, Z, Z, T, Z, T, Z, Y ), coll( Y, X,
% 0.83/1.18 skol2( X, Y, Z, T ) ) }.
% 0.83/1.18 { ! perp( Z, T, X, Y ), ! eqangle( X, Z, Z, T, Z, T, Z, Y ), coll( skol3( U
% 0.83/1.18 , W, Z, T ), Z, T ) }.
% 0.83/1.18 { ! perp( Z, T, X, Y ), ! eqangle( X, Z, Z, T, Z, T, Z, Y ), coll( Y, X,
% 0.83/1.18 skol3( X, Y, Z, T ) ) }.
% 0.83/1.18 { ! perp( Z, T, X, Y ), ! cong( Z, X, Z, Y ), coll( skol4( U, W, Z, T ), Z
% 0.83/1.18 , T ) }.
% 0.83/1.18 { ! perp( Z, T, X, Y ), ! cong( Z, X, Z, Y ), coll( Y, X, skol4( X, Y, Z, T
% 0.83/1.18 ) ) }.
% 0.83/1.18 { ! eqangle( X, Z, Y, Z, X, T, Y, U ), coll( X, Y, Z ), cyclic( T, Y, Z,
% 0.83/1.18 skol5( W, Y, Z, T ) ) }.
% 0.83/1.18 { ! eqangle( X, Z, Y, Z, X, T, Y, U ), coll( X, Y, Z ), eqangle( X, Z, Y, Z
% 0.83/1.18 , X, skol5( X, Y, Z, T ), Y, skol5( X, Y, Z, T ) ) }.
% 0.83/1.18 { ! midp( U, X, Y ), ! midp( W, Z, T ), midp( skol6( X, V0, V1, T, V2, V3 )
% 0.83/1.18 , X, T ) }.
% 0.83/1.18 { ! midp( U, X, Y ), ! midp( W, Z, T ), para( skol6( X, V0, Z, T, V1, W ),
% 0.83/1.18 W, X, Z ) }.
% 0.83/1.18 { ! midp( U, X, Y ), ! midp( W, Z, T ), para( skol6( X, Y, Z, T, U, W ), U
% 0.83/1.18 , Y, T ) }.
% 0.83/1.18 { ! midp( Z, X, Y ), ! midp( W, T, U ), ! coll( T, X, Y ), ! coll( U, X, Y
% 0.83/1.18 ), midp( skol7( X, V0 ), X, V0 ) }.
% 0.83/1.18 { ! midp( T, X, U ), ! para( X, W, Z, T ), ! para( X, W, U, Y ), ! coll( W
% 0.83/1.18 , Y, Z ), coll( skol8( V0, V1, Z, T ), T, Z ) }.
% 0.83/1.18 { ! midp( T, X, U ), ! para( X, W, Z, T ), ! para( X, W, U, Y ), ! coll( W
% 0.83/1.18 , Y, Z ), coll( skol8( X, Y, Z, T ), X, Y ) }.
% 0.83/1.18 { ! cong( T, Z, T, U ), ! perp( X, Y, Y, T ), cong( T, Z, T, skol9( W, V0,
% 0.83/1.18 Z, T ) ) }.
% 0.83/1.18 { ! cong( T, Z, T, U ), ! perp( X, Y, Y, T ), cong( Y, Z, Y, skol9( W, Y, Z
% 0.83/1.18 , T ) ) }.
% 0.83/1.18 { ! cong( T, Z, T, U ), ! perp( X, Y, Y, T ), para( skol9( X, Y, Z, T ), Z
% 0.83/1.18 , X, Y ) }.
% 0.83/1.18 { ! perp( X, T, Y, Z ), ! perp( Y, T, X, Z ), coll( skol10( U, Y, Z ), Z, Y
% 0.83/1.18 ) }.
% 0.83/1.18 { ! perp( X, T, Y, Z ), ! perp( Y, T, X, Z ), perp( X, skol10( X, Y, Z ), Z
% 0.83/1.18 , Y ) }.
% 0.83/1.18 { ! perp( X, T, Y, Z ), ! perp( Y, T, X, Z ), alpha1( X, Y, Z ) }.
% 0.83/1.18 { ! alpha1( X, Y, Z ), coll( skol11( X, T, Z ), Z, X ) }.
% 0.83/1.18 { ! alpha1( X, Y, Z ), perp( Y, skol11( X, Y, Z ), Z, X ) }.
% 0.83/1.18 { ! coll( T, Z, X ), ! perp( Y, T, Z, X ), alpha1( X, Y, Z ) }.
% 0.83/1.18 { ! circle( Y, X, Z, T ), perp( skol12( X, Y ), X, X, Y ) }.
% 2.75/3.14 { ! circle( W, X, Y, Z ), ! cong( W, X, W, T ), ! cong( U, X, U, Y ), W = U
% 2.75/3.14 , alpha2( X, Z, U, skol13( X, V0, Z, V1, U ) ) }.
% 2.75/3.14 { ! circle( W, X, Y, Z ), ! cong( W, X, W, T ), ! cong( U, X, U, Y ), W = U
% 2.75/3.14 , coll( skol21( V0, Y, T, V1 ), Y, T ) }.
% 2.75/3.14 { ! circle( W, X, Y, Z ), ! cong( W, X, W, T ), ! cong( U, X, U, Y ), W = U
% 2.75/3.14 , cong( skol21( X, Y, T, U ), U, U, X ) }.
% 2.75/3.14 { ! alpha2( X, Y, Z, T ), coll( T, X, Y ) }.
% 2.75/3.14 { ! alpha2( X, Y, Z, T ), cong( T, Z, Z, X ) }.
% 2.75/3.14 { ! coll( T, X, Y ), ! cong( T, Z, Z, X ), alpha2( X, Y, Z, T ) }.
% 2.75/3.14 { ! cyclic( X, Y, Z, T ), ! para( X, Y, Z, T ), ! midp( U, X, Y ), circle(
% 2.75/3.14 skol14( X, Y, Z ), X, Y, Z ) }.
% 2.75/3.14 { ! perp( X, Z, Z, Y ), ! cyclic( X, Y, Z, T ), circle( skol15( X, Y, Z ),
% 2.75/3.14 X, Y, Z ) }.
% 2.75/3.14 { ! perp( X, U, U, T ), ! coll( T, Y, Z ), coll( skol16( W, Y, Z ), Y, Z )
% 2.75/3.14 }.
% 2.75/3.14 { ! perp( X, U, U, T ), ! coll( T, Y, Z ), perp( skol16( X, Y, Z ), X, Y, Z
% 2.75/3.14 ) }.
% 2.75/3.14 { ! perp( X, Z, X, Y ), ! perp( Y, X, Y, T ), ! midp( U, Z, T ), midp(
% 2.75/3.14 skol17( X, Y ), X, Y ) }.
% 2.75/3.14 { ! cong( Y, X, Y, Z ), ! perp( X, Y, Y, Z ), coll( X, Y, skol18( X, Y ) )
% 2.75/3.14 }.
% 2.75/3.14 { ! cong( Y, X, Y, Z ), ! perp( X, Y, Y, Z ), cong( Y, X, Y, skol18( X, Y )
% 2.75/3.14 ) }.
% 2.75/3.14 { ! para( U, W, X, Y ), ! coll( Z, U, X ), ! coll( Z, W, Y ), ! coll( T, U
% 2.75/3.14 , W ), coll( Z, T, skol19( V0, V1, Z, T ) ) }.
% 2.75/3.14 { ! para( U, W, X, Y ), ! coll( Z, U, X ), ! coll( Z, W, Y ), ! coll( T, U
% 2.75/3.14 , W ), coll( skol19( X, Y, Z, T ), X, Y ) }.
% 2.75/3.14 { perp( skol27, skol25, skol27, skol26 ) }.
% 2.75/3.14 { circle( skol25, skol27, skol28, skol29 ) }.
% 2.75/3.14 { circle( skol26, skol27, skol30, skol31 ) }.
% 2.75/3.14 { circle( skol25, skol27, skol20, skol32 ) }.
% 2.75/3.14 { circle( skol25, skol20, skol22, skol33 ) }.
% 2.75/3.14 { coll( skol22, skol20, skol25 ) }.
% 2.75/3.14 { circle( skol25, skol27, skol34, skol35 ) }.
% 2.75/3.14 { circle( skol26, skol27, skol34, skol36 ) }.
% 2.75/3.14 { coll( skol23, skol20, skol34 ) }.
% 2.75/3.14 { circle( skol26, skol27, skol23, skol37 ) }.
% 2.75/3.14 { circle( skol26, skol23, skol24, skol38 ) }.
% 2.75/3.14 { coll( skol24, skol23, skol26 ) }.
% 2.75/3.14 { ! perp( skol24, skol23, skol20, skol22 ) }.
% 2.75/3.14
% 2.75/3.14 percentage equality = 0.008646, percentage horn = 0.930233
% 2.75/3.14 This is a problem with some equality
% 2.75/3.14
% 2.75/3.14
% 2.75/3.14
% 2.75/3.14 Options Used:
% 2.75/3.14
% 2.75/3.14 useres = 1
% 2.75/3.14 useparamod = 1
% 2.75/3.14 useeqrefl = 1
% 2.75/3.14 useeqfact = 1
% 2.75/3.14 usefactor = 1
% 2.75/3.14 usesimpsplitting = 0
% 2.75/3.14 usesimpdemod = 5
% 2.75/3.14 usesimpres = 3
% 2.75/3.14
% 2.75/3.14 resimpinuse = 1000
% 2.75/3.14 resimpclauses = 20000
% 2.75/3.14 substype = eqrewr
% 2.75/3.14 backwardsubs = 1
% 2.75/3.14 selectoldest = 5
% 2.75/3.14
% 2.75/3.14 litorderings [0] = split
% 2.75/3.14 litorderings [1] = extend the termordering, first sorting on arguments
% 2.75/3.14
% 2.75/3.14 termordering = kbo
% 2.75/3.14
% 2.75/3.14 litapriori = 0
% 2.75/3.14 termapriori = 1
% 2.75/3.14 litaposteriori = 0
% 2.75/3.14 termaposteriori = 0
% 2.75/3.14 demodaposteriori = 0
% 2.75/3.14 ordereqreflfact = 0
% 2.75/3.14
% 2.75/3.14 litselect = negord
% 2.75/3.14
% 2.75/3.14 maxweight = 15
% 2.75/3.14 maxdepth = 30000
% 2.75/3.14 maxlength = 115
% 2.75/3.14 maxnrvars = 195
% 2.75/3.14 excuselevel = 1
% 2.75/3.14 increasemaxweight = 1
% 2.75/3.14
% 2.75/3.14 maxselected = 10000000
% 2.75/3.14 maxnrclauses = 10000000
% 2.75/3.14
% 2.75/3.14 showgenerated = 0
% 2.75/3.14 showkept = 0
% 2.75/3.14 showselected = 0
% 2.75/3.14 showdeleted = 0
% 2.75/3.14 showresimp = 1
% 2.75/3.14 showstatus = 2000
% 2.75/3.14
% 2.75/3.14 prologoutput = 0
% 2.75/3.14 nrgoals = 5000000
% 2.75/3.14 totalproof = 1
% 2.75/3.14
% 2.75/3.14 Symbols occurring in the translation:
% 2.75/3.14
% 2.75/3.14 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 2.75/3.14 . [1, 2] (w:1, o:58, a:1, s:1, b:0),
% 2.75/3.14 ! [4, 1] (w:0, o:53, a:1, s:1, b:0),
% 2.75/3.14 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 2.75/3.14 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 2.75/3.14 coll [38, 3] (w:1, o:86, a:1, s:1, b:0),
% 2.75/3.14 para [40, 4] (w:1, o:94, a:1, s:1, b:0),
% 2.75/3.14 perp [43, 4] (w:1, o:95, a:1, s:1, b:0),
% 2.75/3.14 midp [45, 3] (w:1, o:87, a:1, s:1, b:0),
% 2.75/3.14 cong [47, 4] (w:1, o:96, a:1, s:1, b:0),
% 2.75/3.14 circle [48, 4] (w:1, o:97, a:1, s:1, b:0),
% 2.75/3.14 cyclic [49, 4] (w:1, o:98, a:1, s:1, b:0),
% 2.75/3.14 eqangle [54, 8] (w:1, o:113, a:1, s:1, b:0),
% 2.75/3.14 eqratio [57, 8] (w:1, o:114, a:1, s:1, b:0),
% 2.75/3.14 simtri [59, 6] (w:1, o:110, a:1, s:1, b:0),
% 2.75/3.14 contri [60, 6] (w:1, o:111, a:1, s:1, b:0),
% 2.75/3.14 alpha1 [75, 3] (w:1, o:88, a:1, s:1, b:1),
% 2.75/3.14 alpha2 [76, 4] (w:1, o:99, a:1, s:1, b:1),
% 2.75/3.14 skol1 [77, 4] (w:1, o:100, a:1, s:1, b:1),
% 2.75/3.14 skol2 [78, 4] (w:1, o:102, a:1, s:1, b:1),
% 2.75/3.14 skol3 [79, 4] (w:1, o:104, a:1, s:1, b:1),
% 15.35/15.78 skol4 [80, 4] (w:1, o:105, a:1, s:1, b:1),
% 15.35/15.78 skol5 [81, 4] (w:1, o:106, a:1, s:1, b:1),
% 15.35/15.78 skol6 [82, 6] (w:1, o:112, a:1, s:1, b:1),
% 15.35/15.78 skol7 [83, 2] (w:1, o:82, a:1, s:1, b:1),
% 15.35/15.78 skol8 [84, 4] (w:1, o:107, a:1, s:1, b:1),
% 15.35/15.78 skol9 [85, 4] (w:1, o:108, a:1, s:1, b:1),
% 15.35/15.78 skol10 [86, 3] (w:1, o:89, a:1, s:1, b:1),
% 15.35/15.78 skol11 [87, 3] (w:1, o:90, a:1, s:1, b:1),
% 15.35/15.78 skol12 [88, 2] (w:1, o:83, a:1, s:1, b:1),
% 15.35/15.78 skol13 [89, 5] (w:1, o:109, a:1, s:1, b:1),
% 15.35/15.78 skol14 [90, 3] (w:1, o:91, a:1, s:1, b:1),
% 15.35/15.78 skol15 [91, 3] (w:1, o:92, a:1, s:1, b:1),
% 15.35/15.78 skol16 [92, 3] (w:1, o:93, a:1, s:1, b:1),
% 15.35/15.78 skol17 [93, 2] (w:1, o:84, a:1, s:1, b:1),
% 15.35/15.78 skol18 [94, 2] (w:1, o:85, a:1, s:1, b:1),
% 15.35/15.78 skol19 [95, 4] (w:1, o:101, a:1, s:1, b:1),
% 15.35/15.78 skol20 [96, 0] (w:1, o:35, a:1, s:1, b:1),
% 15.35/15.78 skol21 [97, 4] (w:1, o:103, a:1, s:1, b:1),
% 15.35/15.78 skol22 [98, 0] (w:1, o:36, a:1, s:1, b:1),
% 15.35/15.78 skol23 [99, 0] (w:1, o:37, a:1, s:1, b:1),
% 15.35/15.78 skol24 [100, 0] (w:1, o:38, a:1, s:1, b:1),
% 15.35/15.78 skol25 [101, 0] (w:1, o:39, a:1, s:1, b:1),
% 15.35/15.78 skol26 [102, 0] (w:1, o:40, a:1, s:1, b:1),
% 15.35/15.78 skol27 [103, 0] (w:1, o:41, a:1, s:1, b:1),
% 15.35/15.78 skol28 [104, 0] (w:1, o:42, a:1, s:1, b:1),
% 15.35/15.78 skol29 [105, 0] (w:1, o:43, a:1, s:1, b:1),
% 15.35/15.78 skol30 [106, 0] (w:1, o:44, a:1, s:1, b:1),
% 15.35/15.78 skol31 [107, 0] (w:1, o:45, a:1, s:1, b:1),
% 15.35/15.78 skol32 [108, 0] (w:1, o:46, a:1, s:1, b:1),
% 15.35/15.78 skol33 [109, 0] (w:1, o:47, a:1, s:1, b:1),
% 15.35/15.78 skol34 [110, 0] (w:1, o:48, a:1, s:1, b:1),
% 15.35/15.78 skol35 [111, 0] (w:1, o:49, a:1, s:1, b:1),
% 15.35/15.78 skol36 [112, 0] (w:1, o:50, a:1, s:1, b:1),
% 15.35/15.78 skol37 [113, 0] (w:1, o:51, a:1, s:1, b:1),
% 15.35/15.78 skol38 [114, 0] (w:1, o:52, a:1, s:1, b:1).
% 15.35/15.78
% 15.35/15.78
% 15.35/15.78 Starting Search:
% 15.35/15.78
% 15.35/15.78 *** allocated 15000 integers for clauses
% 15.35/15.78 *** allocated 22500 integers for clauses
% 15.35/15.78 *** allocated 33750 integers for clauses
% 15.35/15.78 *** allocated 22500 integers for termspace/termends
% 15.35/15.78 *** allocated 50625 integers for clauses
% 15.35/15.78 *** allocated 75937 integers for clauses
% 15.35/15.78 Resimplifying inuse:
% 15.35/15.78 Done
% 15.35/15.78
% 15.35/15.78 *** allocated 33750 integers for termspace/termends
% 15.35/15.78 *** allocated 113905 integers for clauses
% 15.35/15.78 *** allocated 50625 integers for termspace/termends
% 15.35/15.78
% 15.35/15.78 Intermediate Status:
% 15.35/15.78 Generated: 17723
% 15.35/15.78 Kept: 2064
% 15.35/15.78 Inuse: 336
% 15.35/15.78 Deleted: 1
% 15.35/15.78 Deletedinuse: 1
% 15.35/15.78
% 15.35/15.78 Resimplifying inuse:
% 15.35/15.78 Done
% 15.35/15.78
% 15.35/15.78 *** allocated 170857 integers for clauses
% 15.35/15.78 *** allocated 75937 integers for termspace/termends
% 15.35/15.78 Resimplifying inuse:
% 15.35/15.78 Done
% 15.35/15.78
% 15.35/15.78 *** allocated 256285 integers for clauses
% 15.35/15.78 *** allocated 113905 integers for termspace/termends
% 15.35/15.78
% 15.35/15.78 Intermediate Status:
% 15.35/15.78 Generated: 36697
% 15.35/15.78 Kept: 4084
% 15.35/15.78 Inuse: 455
% 15.35/15.78 Deleted: 18
% 15.35/15.78 Deletedinuse: 1
% 15.35/15.78
% 15.35/15.78 Resimplifying inuse:
% 15.35/15.78 Done
% 15.35/15.78
% 15.35/15.78 *** allocated 170857 integers for termspace/termends
% 15.35/15.78 Resimplifying inuse:
% 15.35/15.78 Done
% 15.35/15.78
% 15.35/15.78 *** allocated 384427 integers for clauses
% 15.35/15.78
% 15.35/15.78 Intermediate Status:
% 15.35/15.78 Generated: 47402
% 15.35/15.78 Kept: 6084
% 15.35/15.78 Inuse: 514
% 15.35/15.78 Deleted: 19
% 15.35/15.78 Deletedinuse: 2
% 15.35/15.78
% 15.35/15.78 Resimplifying inuse:
% 15.35/15.78 Done
% 15.35/15.78
% 15.35/15.78 Resimplifying inuse:
% 15.35/15.78 Done
% 15.35/15.78
% 15.35/15.78
% 15.35/15.78 Intermediate Status:
% 15.35/15.78 Generated: 66598
% 15.35/15.78 Kept: 8097
% 15.35/15.78 Inuse: 678
% 15.35/15.78 Deleted: 20
% 15.35/15.78 Deletedinuse: 2
% 15.35/15.78
% 15.35/15.78 *** allocated 576640 integers for clauses
% 15.35/15.78 *** allocated 256285 integers for termspace/termends
% 15.35/15.78 Resimplifying inuse:
% 15.35/15.78 Done
% 15.35/15.78
% 15.35/15.78 Resimplifying inuse:
% 15.35/15.78 Done
% 15.35/15.78
% 15.35/15.78
% 15.35/15.78 Intermediate Status:
% 15.35/15.78 Generated: 86894
% 15.35/15.78 Kept: 10106
% 15.35/15.78 Inuse: 788
% 15.35/15.78 Deleted: 29
% 15.35/15.78 Deletedinuse: 6
% 15.35/15.78
% 15.35/15.78 Resimplifying inuse:
% 15.35/15.78 Done
% 15.35/15.78
% 15.35/15.78
% 15.35/15.78 Intermediate Status:
% 15.35/15.78 Generated: 97763
% 15.35/15.78 Kept: 12405
% 15.35/15.78 Inuse: 838
% 15.35/15.78 Deleted: 32
% 15.35/15.78 Deletedinuse: 9
% 15.35/15.78
% 15.35/15.78 Resimplifying inuse:
% 15.35/15.78 Done
% 15.35/15.78
% 15.35/15.78 *** allocated 864960 integers for clauses
% 15.35/15.78 Resimplifying inuse:
% 15.35/15.78 Done
% 15.35/15.78
% 15.35/15.78
% 15.35/15.78 Intermediate Status:
% 15.35/15.78 Generated: 113156
% 15.35/15.78 Kept: 14412
% 15.35/15.78 Inuse: 971
% 15.35/15.78 Deleted: 36
% 15.35/15.78 Deletedinuse: 9
% 15.35/15.78
% 15.35/15.78 Resimplifying inuse:
% 15.35/15.78 Done
% 15.35/15.78
% 15.35/15.78 *** allocated 384427 integers for termspace/termends
% 15.35/15.78 Resimplifying inuse:
% 15.35/15.78 Done
% 15.35/15.78
% 15.35/15.78
% 15.35/15.78 Intermediate Status:
% 15.35/15.78 Generated: 130553
% 15.35/15.78 Kept: 16434
% 15.35/15.78 Inuse: 1138
% 15.35/15.78 Deleted: 52
% 15.35/15.78 Deletedinuse: 13
% 15.35/15.78
% 15.35/15.78 Resimplifying inuse:
% 15.35/15.78 Done
% 15.35/15.78
% 15.35/15.78 Resimplifying inuse:
% 15.35/15.78 Done
% 15.35/15.78
% 15.35/15.78
% 15.35/15.78 Intermediate Status:
% 15.35/15.78 Generated: 143535
% 15.35/15.78 Kept: 18473
% 15.35/15.78 Inuse: 1254
% 15.35/15.78 Deleted: 66
% 15.35/15.78 Deletedinuse: 19
% 15.35/15.78
% 15.35/15.78 Resimplifying inuse:
% 15.35/15.78 Done
% 15.35/15.78
% 15.35/15.78 *** allocated 1297440 integers for clauses
% 15.35/15.78 Resimplifying inuse:
% 15.35/15.78 Done
% 15.35/15.78
% 15.35/15.78 Resimplifying clauses:
% 15.35/15.78 Done
% 15.35/15.78
% 15.35/15.78
% 15.35/15.78 Intermediate Status:
% 15.35/15.78 Generated: 156045
% 15.35/15.78 Kept: 20477
% 15.35/15.78 Inuse: 1365
% 15.35/15.78 Deleted: 1922
% 15.35/15.78 Deletedinuse: 41
% 15.35/15.78
% 15.35/15.78 Resimplifying inuse:
% 15.35/15.78 Done
% 15.35/15.78
% 15.35/15.78 Resimplifying inuse:
% 15.35/15.78 Done
% 15.35/15.78
% 15.35/15.78
% 15.35/15.78 Intermediate Status:
% 15.35/15.78 Generated: 170212
% 15.35/15.78 Kept: 22477
% 15.35/15.78 Inuse: 1491
% 15.35/15.78 Deleted: 1929
% 15.35/15.78 Deletedinuse: 47
% 15.35/15.78
% 15.35/15.78 Resimplifying inuse:
% 15.35/15.78 Done
% 15.35/15.78
% 15.35/15.78 Resimplifying inuse:
% 15.35/15.78 Done
% 15.35/15.78
% 15.35/15.78
% 15.35/15.78 Intermediate Status:
% 15.35/15.78 Generated: 188985
% 15.35/15.78 Kept: 24489
% 15.35/15.78 Inuse: 1685
% 15.35/15.78 Deleted: 1947
% 15.35/15.78 Deletedinuse: 65
% 15.35/15.78
% 15.35/15.78 Resimplifying inuse:
% 15.35/15.78 Done
% 15.35/15.78
% 15.35/15.78 Resimplifying inuse:
% 15.35/15.78 Done
% 15.35/15.78
% 15.35/15.78 *** allocated 576640 integers for termspace/termends
% 15.35/15.78
% 15.35/15.78 Intermediate Status:
% 15.35/15.78 Generated: 208122
% 15.35/15.78 Kept: 26490
% 15.35/15.78 Inuse: 1883
% 15.35/15.78 Deleted: 1947
% 15.35/15.78 Deletedinuse: 65
% 15.35/15.78
% 15.35/15.78 Resimplifying inuse:
% 15.35/15.78 Done
% 15.35/15.78
% 15.35/15.78 *** allocated 1946160 integers for clauses
% 15.35/15.78
% 15.35/15.78 Intermediate Status:
% 15.35/15.78 Generated: 214809
% 15.35/15.78 Kept: 28809
% 15.35/15.78 Inuse: 1922
% 15.35/15.78 Deleted: 1947
% 15.35/15.78 Deletedinuse: 65
% 15.35/15.78
% 15.35/15.78 Resimplifying inuse:
% 15.35/15.78 Done
% 15.35/15.78
% 15.35/15.78
% 15.35/15.78 Intermediate Status:
% 15.35/15.78 Generated: 219667
% 15.35/15.78 Kept: 30956
% 15.35/15.78 Inuse: 1942
% 15.35/15.78 Deleted: 1947
% 15.35/15.78 Deletedinuse: 65
% 15.35/15.78
% 15.35/15.78 Resimplifying inuse:
% 15.35/15.78 Done
% 15.35/15.78
% 15.35/15.78
% 15.35/15.78 Intermediate Status:
% 15.35/15.78 Generated: 228305
% 15.35/15.78 Kept: 33517
% 15.35/15.78 Inuse: 1957
% 15.35/15.78 Deleted: 1947
% 15.35/15.78 Deletedinuse: 65
% 15.35/15.78
% 15.35/15.78 Resimplifying inuse:
% 15.35/15.78 Done
% 15.35/15.78
% 15.35/15.78 Resimplifying inuse:
% 15.35/15.78 Done
% 15.35/15.78
% 15.35/15.78
% 15.35/15.78 Intermediate Status:
% 15.35/15.78 Generated: 250563
% 15.35/15.78 Kept: 37458
% 15.35/15.78 Inuse: 2015
% 15.35/15.78 Deleted: 1957
% 15.35/15.78 Deletedinuse: 73
% 15.35/15.78
% 15.35/15.78 Resimplifying inuse:
% 15.35/15.78 Done
% 15.35/15.78
% 15.35/15.78 Resimplifying inuse:
% 15.35/15.78 Done
% 15.35/15.78
% 15.35/15.78
% 15.35/15.78 Intermediate Status:
% 15.35/15.78 Generated: 261971
% 15.35/15.78 Kept: 40144
% 15.35/15.78 Inuse: 2105
% 15.35/15.78 Deleted: 1967
% 15.35/15.78 Deletedinuse: 78
% 15.35/15.78
% 15.35/15.78 Resimplifying clauses:
% 15.35/15.78 Done
% 15.35/15.78
% 15.35/15.78 Resimplifying inuse:
% 15.35/15.78 Done
% 15.35/15.78
% 15.35/15.78 *** allocated 864960 integers for termspace/termends
% 15.35/15.78 Resimplifying inuse:
% 15.35/15.78 Done
% 15.35/15.78
% 15.35/15.78
% 15.35/15.78 Intermediate Status:
% 15.35/15.78 Generated: 269027
% 15.35/15.78 Kept: 42152
% 15.35/15.78 Inuse: 2151
% 15.35/15.78 Deleted: 5437
% 15.35/15.78 Deletedinuse: 79
% 15.35/15.78
% 15.35/15.78 Resimplifying inuse:
% 15.35/15.78 Done
% 15.35/15.78
% 15.35/15.78 Resimplifying inuse:
% 15.35/15.78 Done
% 15.35/15.78
% 15.35/15.78
% 15.35/15.78 Intermediate Status:
% 15.35/15.78 Generated: 281373
% 15.35/15.78 Kept: 44155
% 15.35/15.78 Inuse: 2243
% 15.35/15.78 Deleted: 5444
% 15.35/15.78 Deletedinuse: 85
% 15.35/15.78
% 15.35/15.78 *** allocated 2919240 integers for clauses
% 15.35/15.78 Resimplifying inuse:
% 15.35/15.78 Done
% 15.35/15.78
% 15.35/15.78 Resimplifying inuse:
% 15.35/15.78 Done
% 15.35/15.78
% 15.35/15.78
% 15.35/15.78 Intermediate Status:
% 15.35/15.78 Generated: 300746
% 15.35/15.78 Kept: 46160
% 15.35/15.78 Inuse: 2379
% 15.35/15.78 Deleted: 5448
% 15.35/15.78 Deletedinuse: 87
% 15.35/15.78
% 15.35/15.78 Resimplifying inuse:
% 15.35/15.78 Done
% 15.35/15.78
% 15.35/15.78 Resimplifying inuse:
% 15.35/15.78 Done
% 15.35/15.78
% 15.35/15.78
% 15.35/15.78 Intermediate Status:
% 15.35/15.78 Generated: 320399
% 15.35/15.78 Kept: 48168
% 15.35/15.78 Inuse: 2520
% 15.35/15.78 Deleted: 5458
% 15.35/15.78 Deletedinuse: 96
% 15.35/15.78
% 15.35/15.78 Resimplifying inuse:
% 15.35/15.78 Done
% 15.35/15.78
% 15.35/15.78 Resimplifying inuse:
% 15.35/15.78 Done
% 15.35/15.78
% 15.35/15.78
% 15.35/15.78 Intermediate Status:
% 15.35/15.78 Generated: 345692
% 15.35/15.78 Kept: 50180
% 15.35/15.78 Inuse: 2621
% 15.35/15.78 Deleted: 5464
% 15.35/15.78 Deletedinuse: 100
% 15.35/15.78
% 15.35/15.78 Resimplifying inuse:
% 15.35/15.78 Done
% 15.35/15.78
% 15.35/15.78 Resimplifying inuse:
% 15.35/15.78 Done
% 15.35/15.78
% 15.35/15.78
% 15.35/15.78 Intermediate Status:
% 15.35/15.78 Generated: 365118
% 15.35/15.78 Kept: 52182
% 15.35/15.78 Inuse: 2746
% 15.35/15.78 Deleted: 5629
% 15.35/15.78 Deletedinuse: 204
% 15.35/15.78
% 15.35/15.78 Resimplifying inuse:
% 15.35/15.78 Done
% 15.35/15.78
% 15.35/15.78 Resimplifying inuse:
% 15.35/15.78 Done
% 15.35/15.78
% 15.35/15.78
% 15.35/15.78 Intermediate Status:
% 15.35/15.78 Generated: 409318
% 15.35/15.78 Kept: 54187
% 15.35/15.78 Inuse: 2885
% 15.35/15.78 Deleted: 5664
% 15.35/15.78 Deletedinuse: 204
% 15.35/15.78
% 15.35/15.78 Resimplifying inuse:
% 15.35/15.78 Done
% 15.35/15.78
% 15.35/15.78 Resimplifying inuse:
% 15.35/15.78 Done
% 15.35/15.78
% 15.35/15.78
% 15.35/15.78 Intermediate Status:
% 15.35/15.78 Generated: 442583
% 15.35/15.78 Kept: 56202
% 15.35/15.78 Inuse: 3013
% 15.35/15.78 Deleted: 5696
% 15.35/15.78 Deletedinuse: 204
% 15.35/15.78
% 15.35/15.78 Resimplifying inuse:
% 15.35/15.78 Done
% 15.35/15.78
% 15.35/15.78
% 15.35/15.78 Bliksems!, er is een bewijs:
% 15.35/15.78 % SZS status Theorem
% 15.35/15.78 % SZS output start Refutation
% 15.35/15.78
% 15.35/15.78 (0) {G0,W8,D2,L2,V3,M2} I { ! coll( X, Y, Z ), coll( X, Z, Y ) }.
% 15.35/15.78 (1) {G0,W8,D2,L2,V3,M2} I { ! coll( X, Y, Z ), coll( Y, X, Z ) }.
% 15.35/15.78 (2) {G0,W12,D2,L3,V4,M3} I { ! coll( X, T, Y ), ! coll( X, T, Z ), coll( Y
% 15.35/15.78 , Z, X ) }.
% 15.35/15.78 (6) {G0,W10,D2,L2,V4,M2} I { ! perp( X, Y, Z, T ), perp( X, Y, T, Z ) }.
% 15.35/15.78 (7) {G0,W10,D2,L2,V4,M2} I { ! perp( X, Y, Z, T ), perp( Z, T, X, Y ) }.
% 15.35/15.78 (8) {G0,W15,D2,L3,V6,M3} I { ! perp( X, Y, U, W ), ! perp( U, W, Z, T ),
% 15.35/15.78 para( X, Y, Z, T ) }.
% 15.35/15.78 (9) {G0,W15,D2,L3,V6,M3} I { ! para( X, Y, U, W ), ! perp( U, W, Z, T ),
% 15.35/15.78 perp( X, Y, Z, T ) }.
% 15.35/15.78 (13) {G0,W10,D2,L2,V4,M2} I { ! cyclic( X, Y, Z, T ), cyclic( X, Y, T, Z )
% 15.35/15.78 }.
% 15.35/15.78 (14) {G0,W10,D2,L2,V4,M2} I { ! cyclic( X, Y, Z, T ), cyclic( X, Z, Y, T )
% 15.35/15.78 }.
% 15.35/15.78 (15) {G0,W10,D2,L2,V4,M2} I { ! cyclic( X, Y, Z, T ), cyclic( Y, X, Z, T )
% 15.35/15.78 }.
% 15.35/15.78 (16) {G0,W15,D2,L3,V5,M3} I { ! cyclic( U, X, Y, Z ), ! cyclic( U, X, Y, T
% 15.35/15.78 ), cyclic( X, Y, Z, T ) }.
% 15.35/15.78 (18) {G0,W18,D2,L2,V8,M2} I { ! eqangle( X, Y, Z, T, U, W, V0, V1 ),
% 15.35/15.78 eqangle( Z, T, X, Y, V0, V1, U, W ) }.
% 15.35/15.78 (19) {G0,W18,D2,L2,V8,M2} I { ! eqangle( X, Y, Z, T, U, W, V0, V1 ),
% 15.35/15.78 eqangle( U, W, V0, V1, X, Y, Z, T ) }.
% 15.35/15.78 (39) {G0,W14,D2,L2,V6,M2} I { ! para( X, Y, Z, T ), eqangle( X, Y, U, W, Z
% 15.35/15.78 , T, U, W ) }.
% 15.35/15.78 (40) {G0,W14,D2,L2,V4,M2} I { ! cyclic( X, Y, Z, T ), eqangle( Z, X, Z, Y,
% 15.35/15.78 T, X, T, Y ) }.
% 15.35/15.78 (42) {G0,W18,D2,L3,V4,M3} I { ! eqangle( Z, X, Z, Y, T, X, T, Y ), ! coll(
% 15.35/15.78 Z, T, Y ), cyclic( X, Y, Z, T ) }.
% 15.35/15.78 (43) {G0,W29,D2,L5,V6,M5} I { ! cyclic( X, Y, U, Z ), ! cyclic( X, Y, U, T
% 15.35/15.78 ), ! cyclic( X, Y, U, W ), ! eqangle( U, X, U, Y, W, Z, W, T ), cong( X
% 15.35/15.78 , Y, Z, T ) }.
% 15.35/15.78 (56) {G0,W15,D2,L3,V4,M3} I { ! cong( X, Z, Y, Z ), ! cong( X, T, Y, T ),
% 15.35/15.78 perp( X, Y, Z, T ) }.
% 15.35/15.78 (96) {G0,W14,D2,L3,V4,M3} I { ! perp( X, T, Y, Z ), ! perp( Y, T, X, Z ),
% 15.35/15.78 alpha1( X, Y, Z ) }.
% 15.35/15.78 (97) {G0,W11,D3,L2,V4,M2} I { ! alpha1( X, Y, Z ), coll( skol11( X, T, Z )
% 15.35/15.78 , Z, X ) }.
% 15.35/15.78 (116) {G0,W5,D2,L1,V0,M1} I { perp( skol27, skol25, skol27, skol26 ) }.
% 15.35/15.78 (128) {G0,W5,D2,L1,V0,M1} I { ! perp( skol24, skol23, skol20, skol22 ) }.
% 15.35/15.78 (200) {G1,W12,D2,L3,V4,M3} R(2,0) { ! coll( X, Y, Z ), ! coll( X, Y, T ),
% 15.35/15.78 coll( Z, X, T ) }.
% 15.35/15.78 (207) {G2,W8,D2,L2,V3,M2} F(200) { ! coll( X, Y, Z ), coll( Z, X, Z ) }.
% 15.35/15.78 (248) {G3,W12,D2,L3,V4,M3} R(207,2) { coll( X, Y, X ), ! coll( X, Z, Y ), !
% 15.35/15.78 coll( X, Z, T ) }.
% 15.35/15.78 (263) {G4,W8,D2,L2,V3,M2} F(248) { coll( X, Y, X ), ! coll( X, Z, Y ) }.
% 15.35/15.78 (265) {G1,W5,D2,L1,V0,M1} R(6,128) { ! perp( skol24, skol23, skol22, skol20
% 15.35/15.78 ) }.
% 15.35/15.78 (275) {G1,W5,D2,L1,V0,M1} R(7,116) { perp( skol27, skol26, skol27, skol25 )
% 15.35/15.78 }.
% 15.35/15.78 (284) {G1,W15,D2,L3,V6,M3} R(8,7) { ! perp( X, Y, Z, T ), para( U, W, Z, T
% 15.35/15.78 ), ! perp( X, Y, U, W ) }.
% 15.35/15.78 (289) {G1,W10,D2,L2,V2,M2} R(8,116) { ! perp( X, Y, skol27, skol25 ), para
% 15.35/15.78 ( X, Y, skol27, skol26 ) }.
% 15.35/15.78 (352) {G1,W10,D2,L2,V4,M2} R(14,13) { ! cyclic( X, Y, Z, T ), cyclic( X, Z
% 15.35/15.78 , T, Y ) }.
% 15.35/15.78 (360) {G1,W10,D2,L2,V4,M2} R(15,14) { cyclic( X, Y, Z, T ), ! cyclic( Y, Z
% 15.35/15.78 , X, T ) }.
% 15.35/15.78 (362) {G1,W10,D2,L2,V4,M2} R(15,13) { cyclic( X, Y, Z, T ), ! cyclic( Y, X
% 15.35/15.78 , T, Z ) }.
% 15.35/15.78 (380) {G1,W15,D2,L3,V5,M3} R(16,15) { ! cyclic( X, Y, Z, T ), ! cyclic( X,
% 15.35/15.78 Y, Z, U ), cyclic( Z, Y, T, U ) }.
% 15.35/15.78 (385) {G1,W15,D2,L3,V5,M3} R(16,13) { ! cyclic( X, Y, Z, T ), cyclic( Y, Z
% 15.35/15.78 , T, U ), ! cyclic( X, Y, U, Z ) }.
% 15.35/15.78 (389) {G2,W10,D2,L2,V4,M2} F(380) { ! cyclic( X, Y, Z, T ), cyclic( Z, Y, T
% 15.35/15.78 , T ) }.
% 15.35/15.78 (524) {G2,W10,D2,L2,V2,M2} R(265,9) { ! para( skol24, skol23, X, Y ), !
% 15.35/15.78 perp( X, Y, skol22, skol20 ) }.
% 15.35/15.78 (529) {G5,W8,D2,L2,V3,M2} R(263,1) { ! coll( X, Y, Z ), coll( Z, X, X ) }.
% 15.35/15.78 (534) {G6,W8,D2,L2,V3,M2} R(529,1) { coll( X, Y, Y ), ! coll( Z, Y, X ) }.
% 15.35/15.78 (535) {G6,W8,D2,L2,V3,M2} R(529,0) { coll( X, Y, Y ), ! coll( Y, X, Z ) }.
% 15.35/15.78 (538) {G7,W8,D2,L2,V3,M2} R(534,529) { ! coll( X, Y, Z ), coll( Y, Z, Z )
% 15.35/15.78 }.
% 15.35/15.78 (541) {G7,W8,D2,L2,V3,M2} R(535,535) { ! coll( X, Y, Z ), coll( X, Y, Y )
% 15.35/15.78 }.
% 15.35/15.78 (544) {G8,W12,D2,L3,V4,M3} R(541,2) { ! coll( X, Y, Z ), ! coll( X, Y, T )
% 15.35/15.78 , coll( T, Y, X ) }.
% 15.35/15.78 (545) {G9,W8,D2,L2,V3,M2} F(544) { ! coll( X, Y, Z ), coll( Z, Y, X ) }.
% 15.35/15.78 (551) {G10,W8,D2,L2,V3,M2} R(545,538) { coll( X, X, Y ), ! coll( Z, Y, X )
% 15.35/15.78 }.
% 15.35/15.78 (779) {G1,W14,D2,L2,V6,M2} R(39,18) { ! para( X, Y, Z, T ), eqangle( U, W,
% 15.35/15.78 X, Y, U, W, Z, T ) }.
% 15.35/15.78 (847) {G1,W18,D2,L3,V4,M3} R(42,19) { ! coll( X, Y, Z ), cyclic( T, Z, X, Y
% 15.35/15.78 ), ! eqangle( Y, T, Y, Z, X, T, X, Z ) }.
% 15.35/15.78 (935) {G1,W20,D2,L4,V4,M4} R(43,40);f { ! cyclic( X, Y, Z, X ), ! cyclic( X
% 15.35/15.78 , Y, Z, Y ), ! cyclic( X, Y, Z, T ), cong( X, Y, X, Y ) }.
% 15.35/15.78 (967) {G2,W15,D2,L3,V3,M3} F(935) { ! cyclic( X, Y, Z, X ), ! cyclic( X, Y
% 15.35/15.78 , Z, Y ), cong( X, Y, X, Y ) }.
% 15.35/15.78 (4198) {G1,W4,D2,L1,V0,M1} R(96,116);r(116) { alpha1( skol27, skol27,
% 15.35/15.78 skol26 ) }.
% 15.35/15.78 (4203) {G2,W7,D3,L1,V1,M1} R(97,4198) { coll( skol11( skol27, X, skol26 ),
% 15.35/15.78 skol26, skol27 ) }.
% 15.35/15.78 (4350) {G11,W4,D2,L1,V0,M1} R(4203,551) { coll( skol27, skol27, skol26 )
% 15.35/15.78 }.
% 15.35/15.78 (15705) {G2,W5,D2,L1,V0,M1} R(289,275) { para( skol27, skol26, skol27,
% 15.35/15.78 skol26 ) }.
% 15.35/15.78 (46537) {G3,W9,D2,L1,V2,M1} R(779,15705) { eqangle( X, Y, skol27, skol26, X
% 15.35/15.78 , Y, skol27, skol26 ) }.
% 15.35/15.78 (50668) {G12,W5,D2,L1,V1,M1} R(847,4350);r(46537) { cyclic( X, skol26,
% 15.35/15.78 skol27, skol27 ) }.
% 15.35/15.78 (50760) {G13,W5,D2,L1,V1,M1} R(50668,362) { cyclic( skol26, X, skol27,
% 15.35/15.78 skol27 ) }.
% 15.35/15.78 (50772) {G14,W5,D2,L1,V1,M1} R(50760,389) { cyclic( skol27, X, skol27,
% 15.35/15.78 skol27 ) }.
% 15.35/15.78 (50794) {G15,W5,D2,L1,V1,M1} R(50772,360) { cyclic( skol27, skol27, X,
% 15.35/15.78 skol27 ) }.
% 15.35/15.78 (50795) {G15,W5,D2,L1,V1,M1} R(50772,352) { cyclic( skol27, skol27, skol27
% 15.35/15.78 , X ) }.
% 15.35/15.78 (50800) {G16,W5,D2,L1,V2,M1} R(50794,385);r(50795) { cyclic( skol27, skol27
% 15.35/15.78 , X, Y ) }.
% 15.35/15.78 (50822) {G17,W5,D2,L1,V3,M1} R(50800,385);r(50800) { cyclic( skol27, X, Y,
% 15.35/15.78 Z ) }.
% 15.35/15.78 (50841) {G18,W5,D2,L1,V4,M1} R(50822,385);r(50822) { cyclic( X, Y, Z, T )
% 15.35/15.78 }.
% 15.35/15.78 (57185) {G19,W5,D2,L1,V2,M1} S(967);r(50841);r(50841) { cong( X, Y, X, Y )
% 15.35/15.78 }.
% 15.35/15.78 (57202) {G20,W5,D2,L1,V3,M1} R(57185,56);r(57185) { perp( X, X, Z, Y ) }.
% 15.35/15.78 (57235) {G21,W5,D2,L1,V4,M1} R(57202,284);r(57202) { para( X, Y, Z, T ) }.
% 15.35/15.78 (57257) {G22,W5,D2,L1,V4,M1} R(57202,9);r(57235) { perp( X, Y, T, U ) }.
% 15.35/15.78 (57384) {G23,W0,D0,L0,V0,M0} R(57235,524);r(57257) { }.
% 15.35/15.78
% 15.35/15.78
% 15.35/15.78 % SZS output end Refutation
% 15.35/15.78 found a proof!
% 15.35/15.78
% 15.35/15.78
% 15.35/15.78 Unprocessed initial clauses:
% 15.35/15.78
% 15.35/15.78 (57386) {G0,W8,D2,L2,V3,M2} { ! coll( X, Y, Z ), coll( X, Z, Y ) }.
% 15.35/15.78 (57387) {G0,W8,D2,L2,V3,M2} { ! coll( X, Y, Z ), coll( Y, X, Z ) }.
% 15.35/15.78 (57388) {G0,W12,D2,L3,V4,M3} { ! coll( X, T, Y ), ! coll( X, T, Z ), coll
% 15.35/15.78 ( Y, Z, X ) }.
% 15.35/15.78 (57389) {G0,W10,D2,L2,V4,M2} { ! para( X, Y, Z, T ), para( X, Y, T, Z )
% 15.35/15.78 }.
% 15.35/15.78 (57390) {G0,W10,D2,L2,V4,M2} { ! para( X, Y, Z, T ), para( Z, T, X, Y )
% 15.35/15.78 }.
% 15.35/15.78 (57391) {G0,W15,D2,L3,V6,M3} { ! para( X, Y, U, W ), ! para( U, W, Z, T )
% 15.35/15.78 , para( X, Y, Z, T ) }.
% 15.35/15.78 (57392) {G0,W10,D2,L2,V4,M2} { ! perp( X, Y, Z, T ), perp( X, Y, T, Z )
% 15.35/15.78 }.
% 15.35/15.78 (57393) {G0,W10,D2,L2,V4,M2} { ! perp( X, Y, Z, T ), perp( Z, T, X, Y )
% 15.35/15.78 }.
% 15.35/15.78 (57394) {G0,W15,D2,L3,V6,M3} { ! perp( X, Y, U, W ), ! perp( U, W, Z, T )
% 15.35/15.78 , para( X, Y, Z, T ) }.
% 15.35/15.78 (57395) {G0,W15,D2,L3,V6,M3} { ! para( X, Y, U, W ), ! perp( U, W, Z, T )
% 15.35/15.78 , perp( X, Y, Z, T ) }.
% 15.35/15.78 (57396) {G0,W8,D2,L2,V3,M2} { ! midp( Z, Y, X ), midp( Z, X, Y ) }.
% 15.35/15.78 (57397) {G0,W15,D2,L3,V4,M3} { ! cong( T, X, T, Y ), ! cong( T, X, T, Z )
% 15.35/15.78 , circle( T, X, Y, Z ) }.
% 15.35/15.78 (57398) {G0,W20,D2,L4,V5,M4} { ! cong( U, X, U, Y ), ! cong( U, X, U, Z )
% 15.35/15.78 , ! cong( U, X, U, T ), cyclic( X, Y, Z, T ) }.
% 15.35/15.78 (57399) {G0,W10,D2,L2,V4,M2} { ! cyclic( X, Y, Z, T ), cyclic( X, Y, T, Z
% 15.35/15.78 ) }.
% 15.35/15.78 (57400) {G0,W10,D2,L2,V4,M2} { ! cyclic( X, Y, Z, T ), cyclic( X, Z, Y, T
% 15.35/15.78 ) }.
% 15.35/15.78 (57401) {G0,W10,D2,L2,V4,M2} { ! cyclic( X, Y, Z, T ), cyclic( Y, X, Z, T
% 15.35/15.78 ) }.
% 15.35/15.78 (57402) {G0,W15,D2,L3,V5,M3} { ! cyclic( U, X, Y, Z ), ! cyclic( U, X, Y,
% 15.35/15.78 T ), cyclic( X, Y, Z, T ) }.
% 15.35/15.78 (57403) {G0,W18,D2,L2,V8,M2} { ! eqangle( X, Y, Z, T, U, W, V0, V1 ),
% 15.35/15.78 eqangle( Y, X, Z, T, U, W, V0, V1 ) }.
% 15.35/15.78 (57404) {G0,W18,D2,L2,V8,M2} { ! eqangle( X, Y, Z, T, U, W, V0, V1 ),
% 15.35/15.78 eqangle( Z, T, X, Y, V0, V1, U, W ) }.
% 15.35/15.78 (57405) {G0,W18,D2,L2,V8,M2} { ! eqangle( X, Y, Z, T, U, W, V0, V1 ),
% 15.35/15.78 eqangle( U, W, V0, V1, X, Y, Z, T ) }.
% 15.35/15.78 (57406) {G0,W18,D2,L2,V8,M2} { ! eqangle( X, Y, Z, T, U, W, V0, V1 ),
% 15.35/15.78 eqangle( X, Y, U, W, Z, T, V0, V1 ) }.
% 15.35/15.78 (57407) {G0,W27,D2,L3,V12,M3} { ! eqangle( X, Y, Z, T, V2, V3, V4, V5 ), !
% 15.35/15.78 eqangle( V2, V3, V4, V5, U, W, V0, V1 ), eqangle( X, Y, Z, T, U, W, V0,
% 15.35/15.78 V1 ) }.
% 15.35/15.78 (57408) {G0,W10,D2,L2,V4,M2} { ! cong( X, Y, Z, T ), cong( X, Y, T, Z )
% 15.35/15.78 }.
% 15.35/15.78 (57409) {G0,W10,D2,L2,V4,M2} { ! cong( X, Y, Z, T ), cong( Z, T, X, Y )
% 15.35/15.78 }.
% 15.35/15.78 (57410) {G0,W15,D2,L3,V6,M3} { ! cong( X, Y, U, W ), ! cong( U, W, Z, T )
% 15.35/15.78 , cong( X, Y, Z, T ) }.
% 15.35/15.78 (57411) {G0,W18,D2,L2,V8,M2} { ! eqratio( X, Y, Z, T, U, W, V0, V1 ),
% 15.35/15.78 eqratio( Y, X, Z, T, U, W, V0, V1 ) }.
% 15.35/15.78 (57412) {G0,W18,D2,L2,V8,M2} { ! eqratio( X, Y, Z, T, U, W, V0, V1 ),
% 15.35/15.78 eqratio( Z, T, X, Y, V0, V1, U, W ) }.
% 15.35/15.78 (57413) {G0,W18,D2,L2,V8,M2} { ! eqratio( X, Y, Z, T, U, W, V0, V1 ),
% 15.35/15.78 eqratio( U, W, V0, V1, X, Y, Z, T ) }.
% 15.35/15.78 (57414) {G0,W18,D2,L2,V8,M2} { ! eqratio( X, Y, Z, T, U, W, V0, V1 ),
% 15.35/15.78 eqratio( X, Y, U, W, Z, T, V0, V1 ) }.
% 15.35/15.78 (57415) {G0,W27,D2,L3,V12,M3} { ! eqratio( X, Y, Z, T, V2, V3, V4, V5 ), !
% 15.35/15.78 eqratio( V2, V3, V4, V5, U, W, V0, V1 ), eqratio( X, Y, Z, T, U, W, V0,
% 15.35/15.78 V1 ) }.
% 15.35/15.78 (57416) {G0,W14,D2,L2,V6,M2} { ! simtri( X, Z, Y, T, W, U ), simtri( X, Y
% 15.35/15.78 , Z, T, U, W ) }.
% 15.35/15.78 (57417) {G0,W14,D2,L2,V6,M2} { ! simtri( Y, X, Z, U, T, W ), simtri( X, Y
% 15.35/15.78 , Z, T, U, W ) }.
% 15.35/15.78 (57418) {G0,W14,D2,L2,V6,M2} { ! simtri( T, U, W, X, Y, Z ), simtri( X, Y
% 15.35/15.78 , Z, T, U, W ) }.
% 15.35/15.78 (57419) {G0,W21,D2,L3,V9,M3} { ! simtri( X, Y, Z, V0, V1, V2 ), ! simtri(
% 15.35/15.78 V0, V1, V2, T, U, W ), simtri( X, Y, Z, T, U, W ) }.
% 15.35/15.78 (57420) {G0,W14,D2,L2,V6,M2} { ! contri( X, Z, Y, T, W, U ), contri( X, Y
% 15.35/15.78 , Z, T, U, W ) }.
% 15.35/15.78 (57421) {G0,W14,D2,L2,V6,M2} { ! contri( Y, X, Z, U, T, W ), contri( X, Y
% 15.35/15.78 , Z, T, U, W ) }.
% 15.35/15.78 (57422) {G0,W14,D2,L2,V6,M2} { ! contri( T, U, W, X, Y, Z ), contri( X, Y
% 15.35/15.78 , Z, T, U, W ) }.
% 15.35/15.78 (57423) {G0,W21,D2,L3,V9,M3} { ! contri( X, Y, Z, V0, V1, V2 ), ! contri(
% 15.35/15.78 V0, V1, V2, T, U, W ), contri( X, Y, Z, T, U, W ) }.
% 15.35/15.78 (57424) {G0,W14,D2,L2,V6,M2} { ! eqangle( X, Y, U, W, Z, T, U, W ), para(
% 15.35/15.78 X, Y, Z, T ) }.
% 15.35/15.78 (57425) {G0,W14,D2,L2,V6,M2} { ! para( X, Y, Z, T ), eqangle( X, Y, U, W,
% 15.35/15.78 Z, T, U, W ) }.
% 15.35/15.78 (57426) {G0,W14,D2,L2,V4,M2} { ! cyclic( X, Y, Z, T ), eqangle( Z, X, Z, Y
% 15.35/15.78 , T, X, T, Y ) }.
% 15.35/15.78 (57427) {G0,W18,D2,L3,V4,M3} { ! eqangle( Z, X, Z, Y, T, X, T, Y ), coll(
% 15.35/15.78 Z, T, X ), cyclic( X, Y, Z, T ) }.
% 15.35/15.78 (57428) {G0,W18,D2,L3,V4,M3} { ! eqangle( Z, X, Z, Y, T, X, T, Y ), ! coll
% 15.35/15.78 ( Z, T, Y ), cyclic( X, Y, Z, T ) }.
% 15.35/15.78 (57429) {G0,W29,D2,L5,V6,M5} { ! cyclic( X, Y, U, Z ), ! cyclic( X, Y, U,
% 15.35/15.78 T ), ! cyclic( X, Y, U, W ), ! eqangle( U, X, U, Y, W, Z, W, T ), cong( X
% 15.35/15.78 , Y, Z, T ) }.
% 15.35/15.78 (57430) {G0,W13,D2,L3,V5,M3} { ! midp( Z, U, X ), ! midp( T, U, Y ), para
% 15.35/15.78 ( Z, T, X, Y ) }.
% 15.35/15.78 (57431) {G0,W17,D2,L4,V5,M4} { ! midp( U, X, T ), ! para( U, Z, T, Y ), !
% 15.35/15.78 coll( Z, X, Y ), midp( Z, X, Y ) }.
% 15.35/15.78 (57432) {G0,W14,D2,L2,V3,M2} { ! cong( Z, X, Z, Y ), eqangle( Z, X, X, Y,
% 15.35/15.78 X, Y, Z, Y ) }.
% 15.35/15.78 (57433) {G0,W18,D2,L3,V3,M3} { ! eqangle( Z, X, X, Y, X, Y, Z, Y ), coll(
% 15.35/15.78 Z, X, Y ), cong( Z, X, Z, Y ) }.
% 15.35/15.78 (57434) {G0,W19,D2,L3,V5,M3} { ! circle( U, X, Y, Z ), ! perp( U, X, X, T
% 15.35/15.78 ), eqangle( X, T, X, Y, Z, X, Z, Y ) }.
% 15.35/15.78 (57435) {G0,W19,D2,L3,V5,M3} { ! circle( Y, X, T, U ), ! eqangle( X, Z, X
% 15.35/15.78 , T, U, X, U, T ), perp( Y, X, X, Z ) }.
% 15.35/15.78 (57436) {G0,W18,D2,L3,V5,M3} { ! circle( T, X, Y, Z ), ! midp( U, Y, Z ),
% 15.35/15.78 eqangle( X, Y, X, Z, T, Y, T, U ) }.
% 15.35/15.78 (57437) {G0,W22,D2,L4,V5,M4} { ! circle( U, T, X, Y ), ! coll( Z, X, Y ),
% 15.35/15.78 ! eqangle( T, X, T, Y, U, X, U, Z ), midp( Z, X, Y ) }.
% 15.35/15.78 (57438) {G0,W14,D2,L3,V4,M3} { ! perp( X, Y, Y, T ), ! midp( Z, X, T ),
% 15.35/15.78 cong( X, Z, Y, Z ) }.
% 15.35/15.78 (57439) {G0,W14,D2,L3,V4,M3} { ! circle( T, X, Y, Z ), ! coll( T, X, Z ),
% 15.35/15.78 perp( X, Y, Y, Z ) }.
% 15.35/15.78 (57440) {G0,W19,D2,L3,V4,M3} { ! cyclic( X, Y, Z, T ), ! para( X, Y, Z, T
% 15.35/15.78 ), eqangle( X, T, Z, T, Z, T, Z, Y ) }.
% 15.35/15.78 (57441) {G0,W14,D2,L3,V4,M3} { ! midp( T, X, Y ), ! perp( Z, T, X, Y ),
% 15.35/15.78 cong( Z, X, Z, Y ) }.
% 15.35/15.78 (57442) {G0,W15,D2,L3,V4,M3} { ! cong( X, Z, Y, Z ), ! cong( X, T, Y, T )
% 15.35/15.78 , perp( X, Y, Z, T ) }.
% 15.35/15.78 (57443) {G0,W20,D2,L4,V4,M4} { ! cong( X, Y, T, Y ), ! cong( X, Z, T, Z )
% 15.35/15.78 , ! cyclic( X, T, Y, Z ), perp( Y, X, X, Z ) }.
% 15.35/15.78 (57444) {G0,W29,D2,L4,V6,M4} { ! eqangle( X, Y, Y, Z, T, U, U, W ), !
% 15.35/15.78 eqangle( X, Z, Y, Z, T, W, U, W ), coll( X, Y, Z ), simtri( X, Y, Z, T, U
% 15.35/15.78 , W ) }.
% 15.35/15.78 (57445) {G0,W16,D2,L2,V6,M2} { ! simtri( X, Y, Z, T, U, W ), eqratio( X, Y
% 15.35/15.78 , X, Z, T, U, T, W ) }.
% 15.35/15.78 (57446) {G0,W16,D2,L2,V6,M2} { ! simtri( X, Y, Z, T, U, W ), eqangle( X, Y
% 15.35/15.78 , Y, Z, T, U, U, W ) }.
% 15.35/15.78 (57447) {G0,W19,D2,L3,V6,M3} { ! simtri( X, Y, Z, T, U, W ), ! cong( X, Y
% 15.35/15.78 , T, U ), contri( X, Y, Z, T, U, W ) }.
% 15.35/15.78 (57448) {G0,W12,D2,L2,V6,M2} { ! contri( X, Y, U, Z, T, W ), cong( X, Y, Z
% 15.35/15.78 , T ) }.
% 15.35/15.78 (57449) {G0,W13,D2,L3,V5,M3} { ! midp( U, X, Y ), ! midp( U, Z, T ), para
% 15.35/15.78 ( X, Z, Y, T ) }.
% 15.35/15.78 (57450) {G0,W18,D2,L4,V5,M4} { ! midp( Z, T, U ), ! para( T, X, U, Y ), !
% 15.35/15.78 para( T, Y, U, X ), midp( Z, X, Y ) }.
% 15.35/15.78 (57451) {G0,W22,D2,L4,V5,M4} { ! para( X, Y, Z, T ), ! coll( U, X, Z ), !
% 15.35/15.78 coll( U, Y, T ), eqratio( U, X, X, Z, U, Y, Y, T ) }.
% 15.35/15.78 (57452) {G0,W9,D2,L2,V3,M2} { ! para( X, Y, X, Z ), coll( X, Y, Z ) }.
% 15.35/15.78 (57453) {G0,W13,D2,L3,V3,M3} { ! cong( X, Y, X, Z ), ! coll( X, Y, Z ),
% 15.35/15.78 midp( X, Y, Z ) }.
% 15.35/15.78 (57454) {G0,W9,D2,L2,V3,M2} { ! midp( X, Y, Z ), cong( X, Y, X, Z ) }.
% 15.35/15.78 (57455) {G0,W8,D2,L2,V3,M2} { ! midp( X, Y, Z ), coll( X, Y, Z ) }.
% 15.35/15.78 (57456) {G0,W17,D2,L3,V6,M3} { ! midp( U, X, Y ), ! midp( W, Z, T ),
% 15.35/15.78 eqratio( U, X, X, Y, W, Z, Z, T ) }.
% 15.35/15.78 (57457) {G0,W19,D2,L3,V4,M3} { ! eqangle( X, Y, Z, T, Z, T, X, Y ), para(
% 15.35/15.78 X, Y, Z, T ), perp( X, Y, Z, T ) }.
% 15.35/15.78 (57458) {G0,W19,D2,L3,V4,M3} { ! eqangle( X, Y, Z, T, Z, T, X, Y ), perp(
% 15.35/15.78 X, Y, Z, T ), para( X, Y, Z, T ) }.
% 15.35/15.78 (57459) {G0,W19,D2,L3,V8,M3} { ! eqangle( X, Y, Z, T, U, W, V0, V1 ), !
% 15.35/15.78 para( U, W, V0, V1 ), para( X, Y, Z, T ) }.
% 15.35/15.78 (57460) {G0,W19,D2,L3,V8,M3} { ! eqangle( X, Y, Z, T, U, W, V0, V1 ), !
% 15.35/15.78 perp( U, W, V0, V1 ), perp( X, Y, Z, T ) }.
% 15.35/15.78 (57461) {G0,W19,D2,L3,V8,M3} { ! eqratio( X, Y, Z, T, U, W, V0, V1 ), !
% 15.35/15.78 cong( U, W, V0, V1 ), cong( X, Y, Z, T ) }.
% 15.35/15.78 (57462) {G0,W22,D3,L3,V6,M3} { ! perp( Z, Y, Y, X ), ! eqangle( T, Z, Y, Z
% 15.35/15.78 , Y, Z, X, Z ), coll( skol1( U, W, Z, T ), Z, T ) }.
% 15.35/15.78 (57463) {G0,W22,D3,L3,V4,M3} { ! perp( Z, Y, Y, X ), ! eqangle( T, Z, Y, Z
% 15.35/15.78 , Y, Z, X, Z ), coll( skol1( X, Y, Z, T ), X, Y ) }.
% 15.35/15.78 (57464) {G0,W22,D3,L3,V6,M3} { ! cong( Z, X, Z, Y ), ! eqangle( X, Z, Z, T
% 15.35/15.78 , Z, T, Z, Y ), coll( skol2( U, W, Z, T ), Z, T ) }.
% 15.35/15.78 (57465) {G0,W22,D3,L3,V4,M3} { ! cong( Z, X, Z, Y ), ! eqangle( X, Z, Z, T
% 15.35/15.78 , Z, T, Z, Y ), coll( Y, X, skol2( X, Y, Z, T ) ) }.
% 15.35/15.78 (57466) {G0,W22,D3,L3,V6,M3} { ! perp( Z, T, X, Y ), ! eqangle( X, Z, Z, T
% 15.35/15.78 , Z, T, Z, Y ), coll( skol3( U, W, Z, T ), Z, T ) }.
% 15.35/15.78 (57467) {G0,W22,D3,L3,V4,M3} { ! perp( Z, T, X, Y ), ! eqangle( X, Z, Z, T
% 15.35/15.78 , Z, T, Z, Y ), coll( Y, X, skol3( X, Y, Z, T ) ) }.
% 15.35/15.78 (57468) {G0,W18,D3,L3,V6,M3} { ! perp( Z, T, X, Y ), ! cong( Z, X, Z, Y )
% 15.35/15.78 , coll( skol4( U, W, Z, T ), Z, T ) }.
% 15.35/15.78 (57469) {G0,W18,D3,L3,V4,M3} { ! perp( Z, T, X, Y ), ! cong( Z, X, Z, Y )
% 15.35/15.78 , coll( Y, X, skol4( X, Y, Z, T ) ) }.
% 15.35/15.78 (57470) {G0,W22,D3,L3,V6,M3} { ! eqangle( X, Z, Y, Z, X, T, Y, U ), coll(
% 15.35/15.78 X, Y, Z ), cyclic( T, Y, Z, skol5( W, Y, Z, T ) ) }.
% 15.35/15.78 (57471) {G0,W30,D3,L3,V5,M3} { ! eqangle( X, Z, Y, Z, X, T, Y, U ), coll(
% 15.35/15.78 X, Y, Z ), eqangle( X, Z, Y, Z, X, skol5( X, Y, Z, T ), Y, skol5( X, Y, Z
% 15.35/15.78 , T ) ) }.
% 15.35/15.78 (57472) {G0,W18,D3,L3,V10,M3} { ! midp( U, X, Y ), ! midp( W, Z, T ), midp
% 15.35/15.78 ( skol6( X, V0, V1, T, V2, V3 ), X, T ) }.
% 15.35/15.78 (57473) {G0,W19,D3,L3,V8,M3} { ! midp( U, X, Y ), ! midp( W, Z, T ), para
% 15.35/15.78 ( skol6( X, V0, Z, T, V1, W ), W, X, Z ) }.
% 15.35/15.78 (57474) {G0,W19,D3,L3,V6,M3} { ! midp( U, X, Y ), ! midp( W, Z, T ), para
% 15.35/15.78 ( skol6( X, Y, Z, T, U, W ), U, Y, T ) }.
% 15.35/15.78 (57475) {G0,W22,D3,L5,V7,M5} { ! midp( Z, X, Y ), ! midp( W, T, U ), !
% 15.35/15.78 coll( T, X, Y ), ! coll( U, X, Y ), midp( skol7( X, V0 ), X, V0 ) }.
% 15.35/15.78 (57476) {G0,W26,D3,L5,V8,M5} { ! midp( T, X, U ), ! para( X, W, Z, T ), !
% 15.35/15.78 para( X, W, U, Y ), ! coll( W, Y, Z ), coll( skol8( V0, V1, Z, T ), T, Z
% 15.35/15.78 ) }.
% 15.35/15.78 (57477) {G0,W26,D3,L5,V6,M5} { ! midp( T, X, U ), ! para( X, W, Z, T ), !
% 15.35/15.78 para( X, W, U, Y ), ! coll( W, Y, Z ), coll( skol8( X, Y, Z, T ), X, Y )
% 15.35/15.78 }.
% 15.35/15.78 (57478) {G0,W19,D3,L3,V7,M3} { ! cong( T, Z, T, U ), ! perp( X, Y, Y, T )
% 15.35/15.78 , cong( T, Z, T, skol9( W, V0, Z, T ) ) }.
% 15.35/15.78 (57479) {G0,W19,D3,L3,V6,M3} { ! cong( T, Z, T, U ), ! perp( X, Y, Y, T )
% 15.35/15.78 , cong( Y, Z, Y, skol9( W, Y, Z, T ) ) }.
% 15.35/15.78 (57480) {G0,W19,D3,L3,V5,M3} { ! cong( T, Z, T, U ), ! perp( X, Y, Y, T )
% 15.35/15.78 , para( skol9( X, Y, Z, T ), Z, X, Y ) }.
% 15.35/15.78 (57481) {G0,W17,D3,L3,V5,M3} { ! perp( X, T, Y, Z ), ! perp( Y, T, X, Z )
% 15.35/15.78 , coll( skol10( U, Y, Z ), Z, Y ) }.
% 15.35/15.78 (57482) {G0,W18,D3,L3,V4,M3} { ! perp( X, T, Y, Z ), ! perp( Y, T, X, Z )
% 15.35/15.78 , perp( X, skol10( X, Y, Z ), Z, Y ) }.
% 15.35/15.78 (57483) {G0,W14,D2,L3,V4,M3} { ! perp( X, T, Y, Z ), ! perp( Y, T, X, Z )
% 15.35/15.78 , alpha1( X, Y, Z ) }.
% 15.35/15.78 (57484) {G0,W11,D3,L2,V4,M2} { ! alpha1( X, Y, Z ), coll( skol11( X, T, Z
% 15.35/15.78 ), Z, X ) }.
% 15.35/15.78 (57485) {G0,W12,D3,L2,V3,M2} { ! alpha1( X, Y, Z ), perp( Y, skol11( X, Y
% 15.35/15.78 , Z ), Z, X ) }.
% 15.35/15.78 (57486) {G0,W13,D2,L3,V4,M3} { ! coll( T, Z, X ), ! perp( Y, T, Z, X ),
% 15.35/15.78 alpha1( X, Y, Z ) }.
% 15.35/15.78 (57487) {G0,W12,D3,L2,V4,M2} { ! circle( Y, X, Z, T ), perp( skol12( X, Y
% 15.35/15.78 ), X, X, Y ) }.
% 15.35/15.78 (57488) {G0,W28,D3,L5,V8,M5} { ! circle( W, X, Y, Z ), ! cong( W, X, W, T
% 15.35/15.78 ), ! cong( U, X, U, Y ), W = U, alpha2( X, Z, U, skol13( X, V0, Z, V1, U
% 15.35/15.78 ) ) }.
% 15.35/15.78 (57489) {G0,W26,D3,L5,V8,M5} { ! circle( W, X, Y, Z ), ! cong( W, X, W, T
% 15.35/15.78 ), ! cong( U, X, U, Y ), W = U, coll( skol21( V0, Y, T, V1 ), Y, T ) }.
% 15.35/15.78 (57490) {G0,W27,D3,L5,V6,M5} { ! circle( W, X, Y, Z ), ! cong( W, X, W, T
% 15.35/15.78 ), ! cong( U, X, U, Y ), W = U, cong( skol21( X, Y, T, U ), U, U, X )
% 15.35/15.78 }.
% 15.35/15.78 (57491) {G0,W9,D2,L2,V4,M2} { ! alpha2( X, Y, Z, T ), coll( T, X, Y ) }.
% 15.35/15.78 (57492) {G0,W10,D2,L2,V4,M2} { ! alpha2( X, Y, Z, T ), cong( T, Z, Z, X )
% 15.35/15.78 }.
% 15.35/15.78 (57493) {G0,W14,D2,L3,V4,M3} { ! coll( T, X, Y ), ! cong( T, Z, Z, X ),
% 15.35/15.78 alpha2( X, Y, Z, T ) }.
% 15.35/15.78 (57494) {G0,W22,D3,L4,V5,M4} { ! cyclic( X, Y, Z, T ), ! para( X, Y, Z, T
% 15.35/15.78 ), ! midp( U, X, Y ), circle( skol14( X, Y, Z ), X, Y, Z ) }.
% 15.35/15.78 (57495) {G0,W18,D3,L3,V4,M3} { ! perp( X, Z, Z, Y ), ! cyclic( X, Y, Z, T
% 15.35/15.78 ), circle( skol15( X, Y, Z ), X, Y, Z ) }.
% 15.35/15.78 (57496) {G0,W16,D3,L3,V6,M3} { ! perp( X, U, U, T ), ! coll( T, Y, Z ),
% 15.35/15.78 coll( skol16( W, Y, Z ), Y, Z ) }.
% 15.35/15.78 (57497) {G0,W17,D3,L3,V5,M3} { ! perp( X, U, U, T ), ! coll( T, Y, Z ),
% 15.35/15.78 perp( skol16( X, Y, Z ), X, Y, Z ) }.
% 15.35/15.78 (57498) {G0,W20,D3,L4,V5,M4} { ! perp( X, Z, X, Y ), ! perp( Y, X, Y, T )
% 15.35/15.78 , ! midp( U, Z, T ), midp( skol17( X, Y ), X, Y ) }.
% 15.35/15.78 (57499) {G0,W16,D3,L3,V3,M3} { ! cong( Y, X, Y, Z ), ! perp( X, Y, Y, Z )
% 15.35/15.78 , coll( X, Y, skol18( X, Y ) ) }.
% 15.35/15.78 (57500) {G0,W17,D3,L3,V3,M3} { ! cong( Y, X, Y, Z ), ! perp( X, Y, Y, Z )
% 15.35/15.78 , cong( Y, X, Y, skol18( X, Y ) ) }.
% 15.35/15.78 (57501) {G0,W25,D3,L5,V8,M5} { ! para( U, W, X, Y ), ! coll( Z, U, X ), !
% 15.35/15.78 coll( Z, W, Y ), ! coll( T, U, W ), coll( Z, T, skol19( V0, V1, Z, T ) )
% 15.35/15.78 }.
% 15.35/15.78 (57502) {G0,W25,D3,L5,V6,M5} { ! para( U, W, X, Y ), ! coll( Z, U, X ), !
% 15.35/15.78 coll( Z, W, Y ), ! coll( T, U, W ), coll( skol19( X, Y, Z, T ), X, Y )
% 15.35/15.78 }.
% 15.35/15.78 (57503) {G0,W5,D2,L1,V0,M1} { perp( skol27, skol25, skol27, skol26 ) }.
% 15.35/15.78 (57504) {G0,W5,D2,L1,V0,M1} { circle( skol25, skol27, skol28, skol29 ) }.
% 15.35/15.78 (57505) {G0,W5,D2,L1,V0,M1} { circle( skol26, skol27, skol30, skol31 ) }.
% 15.35/15.78 (57506) {G0,W5,D2,L1,V0,M1} { circle( skol25, skol27, skol20, skol32 ) }.
% 15.35/15.78 (57507) {G0,W5,D2,L1,V0,M1} { circle( skol25, skol20, skol22, skol33 ) }.
% 15.35/15.78 (57508) {G0,W4,D2,L1,V0,M1} { coll( skol22, skol20, skol25 ) }.
% 15.35/15.78 (57509) {G0,W5,D2,L1,V0,M1} { circle( skol25, skol27, skol34, skol35 ) }.
% 15.35/15.78 (57510) {G0,W5,D2,L1,V0,M1} { circle( skol26, skol27, skol34, skol36 ) }.
% 15.35/15.78 (57511) {G0,W4,D2,L1,V0,M1} { coll( skol23, skol20, skol34 ) }.
% 15.35/15.78 (57512) {G0,W5,D2,L1,V0,M1} { circle( skol26, skol27, skol23, skol37 ) }.
% 15.35/15.78 (57513) {G0,W5,D2,L1,V0,M1} { circle( skol26, skol23, skol24, skol38 ) }.
% 15.35/15.78 (57514) {G0,W4,D2,L1,V0,M1} { coll( skol24, skol23, skol26 ) }.
% 15.35/15.78 (57515) {G0,W5,D2,L1,V0,M1} { ! perp( skol24, skol23, skol20, skol22 ) }.
% 15.35/15.78
% 15.35/15.78
% 15.35/15.78 Total Proof:
% 15.35/15.78
% 15.35/15.78 subsumption: (0) {G0,W8,D2,L2,V3,M2} I { ! coll( X, Y, Z ), coll( X, Z, Y )
% 15.35/15.78 }.
% 15.35/15.78 parent0: (57386) {G0,W8,D2,L2,V3,M2} { ! coll( X, Y, Z ), coll( X, Z, Y )
% 15.35/15.78 }.
% 15.35/15.78 substitution0:
% 15.35/15.78 X := X
% 15.35/15.78 Y := Y
% 15.35/15.78 Z := Z
% 15.35/15.78 end
% 15.35/15.78 permutation0:
% 15.35/15.78 0 ==> 0
% 15.35/15.78 1 ==> 1
% 15.35/15.78 end
% 15.35/15.78
% 15.35/15.78 subsumption: (1) {G0,W8,D2,L2,V3,M2} I { ! coll( X, Y, Z ), coll( Y, X, Z )
% 15.35/15.78 }.
% 15.35/15.78 parent0: (57387) {G0,W8,D2,L2,V3,M2} { ! coll( X, Y, Z ), coll( Y, X, Z )
% 15.35/15.78 }.
% 15.35/15.78 substitution0:
% 15.35/15.78 X := X
% 15.35/15.78 Y := Y
% 15.35/15.78 Z := Z
% 15.35/15.78 end
% 15.35/15.78 permutation0:
% 15.35/15.78 0 ==> 0
% 15.35/15.78 1 ==> 1
% 15.35/15.78 end
% 15.35/15.78
% 15.35/15.78 subsumption: (2) {G0,W12,D2,L3,V4,M3} I { ! coll( X, T, Y ), ! coll( X, T,
% 15.35/15.78 Z ), coll( Y, Z, X ) }.
% 15.35/15.78 parent0: (57388) {G0,W12,D2,L3,V4,M3} { ! coll( X, T, Y ), ! coll( X, T, Z
% 15.35/15.78 ), coll( Y, Z, X ) }.
% 15.35/15.78 substitution0:
% 15.35/15.78 X := X
% 15.35/15.78 Y := Y
% 15.35/15.78 Z := Z
% 15.35/15.78 T := T
% 15.35/15.78 end
% 15.35/15.78 permutation0:
% 15.35/15.78 0 ==> 0
% 15.35/15.78 1 ==> 1
% 15.35/15.78 2 ==> 2
% 15.35/15.78 end
% 15.35/15.78
% 15.35/15.78 subsumption: (6) {G0,W10,D2,L2,V4,M2} I { ! perp( X, Y, Z, T ), perp( X, Y
% 15.35/15.78 , T, Z ) }.
% 15.35/15.78 parent0: (57392) {G0,W10,D2,L2,V4,M2} { ! perp( X, Y, Z, T ), perp( X, Y,
% 15.35/15.78 T, Z ) }.
% 15.35/15.78 substitution0:
% 15.35/15.78 X := X
% 15.35/15.78 Y := Y
% 15.35/15.78 Z := Z
% 15.35/15.78 T := T
% 15.35/15.78 end
% 15.35/15.78 permutation0:
% 15.35/15.78 0 ==> 0
% 15.35/15.78 1 ==> 1
% 15.35/15.78 end
% 15.35/15.78
% 15.35/15.78 subsumption: (7) {G0,W10,D2,L2,V4,M2} I { ! perp( X, Y, Z, T ), perp( Z, T
% 15.35/15.78 , X, Y ) }.
% 15.35/15.78 parent0: (57393) {G0,W10,D2,L2,V4,M2} { ! perp( X, Y, Z, T ), perp( Z, T,
% 15.35/15.78 X, Y ) }.
% 15.35/15.78 substitution0:
% 15.35/15.78 X := X
% 15.35/15.78 Y := Y
% 15.35/15.78 Z := Z
% 15.35/15.78 T := T
% 15.35/15.78 end
% 15.35/15.78 permutation0:
% 15.35/15.78 0 ==> 0
% 15.35/15.78 1 ==> 1
% 15.35/15.78 end
% 15.35/15.78
% 15.35/15.78 subsumption: (8) {G0,W15,D2,L3,V6,M3} I { ! perp( X, Y, U, W ), ! perp( U,
% 15.35/15.78 W, Z, T ), para( X, Y, Z, T ) }.
% 15.35/15.78 parent0: (57394) {G0,W15,D2,L3,V6,M3} { ! perp( X, Y, U, W ), ! perp( U, W
% 15.35/15.78 , Z, T ), para( X, Y, Z, T ) }.
% 15.35/15.78 substitution0:
% 15.35/15.78 X := X
% 15.35/15.78 Y := Y
% 15.35/15.78 Z := Z
% 15.35/15.78 T := T
% 15.35/15.78 U := U
% 15.35/15.78 W := W
% 15.35/15.78 end
% 15.35/15.78 permutation0:
% 15.35/15.78 0 ==> 0
% 15.35/15.78 1 ==> 1
% 15.35/15.78 2 ==> 2
% 15.35/15.78 end
% 15.35/15.78
% 15.35/15.78 subsumption: (9) {G0,W15,D2,L3,V6,M3} I { ! para( X, Y, U, W ), ! perp( U,
% 15.35/15.78 W, Z, T ), perp( X, Y, Z, T ) }.
% 15.35/15.78 parent0: (57395) {G0,W15,D2,L3,V6,M3} { ! para( X, Y, U, W ), ! perp( U, W
% 15.35/15.78 , Z, T ), perp( X, Y, Z, T ) }.
% 15.35/15.78 substitution0:
% 15.35/15.78 X := X
% 15.35/15.78 Y := Y
% 15.35/15.78 Z := Z
% 15.35/15.78 T := T
% 15.35/15.78 U := U
% 15.35/15.78 W := W
% 15.35/15.78 end
% 15.35/15.78 permutation0:
% 15.35/15.78 0 ==> 0
% 15.35/15.78 1 ==> 1
% 15.35/15.78 2 ==> 2
% 15.35/15.78 end
% 15.35/15.78
% 15.35/15.78 subsumption: (13) {G0,W10,D2,L2,V4,M2} I { ! cyclic( X, Y, Z, T ), cyclic(
% 15.35/15.78 X, Y, T, Z ) }.
% 15.35/15.78 parent0: (57399) {G0,W10,D2,L2,V4,M2} { ! cyclic( X, Y, Z, T ), cyclic( X
% 15.35/15.78 , Y, T, Z ) }.
% 15.35/15.78 substitution0:
% 15.35/15.78 X := X
% 15.35/15.78 Y := Y
% 15.35/15.78 Z := Z
% 15.35/15.78 T := T
% 15.35/15.78 end
% 15.35/15.78 permutation0:
% 15.35/15.78 0 ==> 0
% 15.35/15.78 1 ==> 1
% 15.35/15.78 end
% 15.35/15.78
% 15.35/15.78 subsumption: (14) {G0,W10,D2,L2,V4,M2} I { ! cyclic( X, Y, Z, T ), cyclic(
% 15.35/15.78 X, Z, Y, T ) }.
% 15.35/15.78 parent0: (57400) {G0,W10,D2,L2,V4,M2} { ! cyclic( X, Y, Z, T ), cyclic( X
% 15.35/15.78 , Z, Y, T ) }.
% 15.35/15.78 substitution0:
% 15.35/15.78 X := X
% 15.35/15.78 Y := Y
% 15.35/15.78 Z := Z
% 15.35/15.78 T := T
% 15.35/15.78 end
% 15.35/15.78 permutation0:
% 15.35/15.78 0 ==> 0
% 15.35/15.78 1 ==> 1
% 15.35/15.78 end
% 15.35/15.78
% 15.35/15.78 subsumption: (15) {G0,W10,D2,L2,V4,M2} I { ! cyclic( X, Y, Z, T ), cyclic(
% 15.35/15.78 Y, X, Z, T ) }.
% 15.35/15.78 parent0: (57401) {G0,W10,D2,L2,V4,M2} { ! cyclic( X, Y, Z, T ), cyclic( Y
% 15.35/15.78 , X, Z, T ) }.
% 15.35/15.78 substitution0:
% 15.35/15.78 X := X
% 15.35/15.78 Y := Y
% 15.35/15.78 Z := Z
% 15.35/15.78 T := T
% 15.35/15.78 end
% 15.35/15.78 permutation0:
% 15.35/15.78 0 ==> 0
% 15.35/15.78 1 ==> 1
% 15.35/15.78 end
% 15.35/15.78
% 15.35/15.78 subsumption: (16) {G0,W15,D2,L3,V5,M3} I { ! cyclic( U, X, Y, Z ), ! cyclic
% 15.35/15.78 ( U, X, Y, T ), cyclic( X, Y, Z, T ) }.
% 15.35/15.78 parent0: (57402) {G0,W15,D2,L3,V5,M3} { ! cyclic( U, X, Y, Z ), ! cyclic(
% 15.35/15.78 U, X, Y, T ), cyclic( X, Y, Z, T ) }.
% 15.35/15.78 substitution0:
% 15.35/15.78 X := X
% 15.35/15.78 Y := Y
% 15.35/15.78 Z := Z
% 15.35/15.78 T := T
% 15.35/15.78 U := U
% 15.35/15.78 end
% 15.35/15.78 permutation0:
% 15.35/15.78 0 ==> 0
% 15.35/15.78 1 ==> 1
% 15.35/15.78 2 ==> 2
% 15.35/15.78 end
% 15.35/15.78
% 15.35/15.78 subsumption: (18) {G0,W18,D2,L2,V8,M2} I { ! eqangle( X, Y, Z, T, U, W, V0
% 15.35/15.78 , V1 ), eqangle( Z, T, X, Y, V0, V1, U, W ) }.
% 15.35/15.78 parent0: (57404) {G0,W18,D2,L2,V8,M2} { ! eqangle( X, Y, Z, T, U, W, V0,
% 15.35/15.78 V1 ), eqangle( Z, T, X, Y, V0, V1, U, W ) }.
% 15.35/15.78 substitution0:
% 15.35/15.78 X := X
% 15.35/15.78 Y := Y
% 15.35/15.78 Z := Z
% 15.35/15.78 T := T
% 15.35/15.78 U := U
% 15.35/15.78 W := W
% 15.35/15.78 V0 := V0
% 15.35/15.78 V1 := V1
% 15.35/15.78 end
% 15.35/15.78 permutation0:
% 15.35/15.78 0 ==> 0
% 15.35/15.78 1 ==> 1
% 15.35/15.78 end
% 15.35/15.78
% 15.35/15.78 subsumption: (19) {G0,W18,D2,L2,V8,M2} I { ! eqangle( X, Y, Z, T, U, W, V0
% 15.35/15.78 , V1 ), eqangle( U, W, V0, V1, X, Y, Z, T ) }.
% 15.35/15.78 parent0: (57405) {G0,W18,D2,L2,V8,M2} { ! eqangle( X, Y, Z, T, U, W, V0,
% 15.35/15.78 V1 ), eqangle( U, W, V0, V1, X, Y, Z, T ) }.
% 15.35/15.78 substitution0:
% 15.35/15.78 X := X
% 15.35/15.78 Y := Y
% 15.35/15.78 Z := Z
% 15.35/15.78 T := T
% 15.35/15.78 U := U
% 15.35/15.78 W := W
% 15.35/15.78 V0 := V0
% 15.35/15.78 V1 := V1
% 15.35/15.78 end
% 15.35/15.78 permutation0:
% 15.35/15.78 0 ==> 0
% 15.35/15.78 1 ==> 1
% 15.35/15.78 end
% 15.35/15.78
% 15.35/15.78 subsumption: (39) {G0,W14,D2,L2,V6,M2} I { ! para( X, Y, Z, T ), eqangle( X
% 15.35/15.78 , Y, U, W, Z, T, U, W ) }.
% 15.35/15.78 parent0: (57425) {G0,W14,D2,L2,V6,M2} { ! para( X, Y, Z, T ), eqangle( X,
% 15.35/15.78 Y, U, W, Z, T, U, W ) }.
% 15.35/15.78 substitution0:
% 15.35/15.78 X := X
% 15.35/15.78 Y := Y
% 15.35/15.78 Z := Z
% 15.35/15.78 T := T
% 15.35/15.78 U := U
% 15.35/15.78 W := W
% 15.35/15.78 end
% 15.35/15.78 permutation0:
% 15.35/15.78 0 ==> 0
% 15.35/15.78 1 ==> 1
% 15.35/15.78 end
% 15.35/15.78
% 15.35/15.78 subsumption: (40) {G0,W14,D2,L2,V4,M2} I { ! cyclic( X, Y, Z, T ), eqangle
% 15.35/15.78 ( Z, X, Z, Y, T, X, T, Y ) }.
% 15.35/15.78 parent0: (57426) {G0,W14,D2,L2,V4,M2} { ! cyclic( X, Y, Z, T ), eqangle( Z
% 15.35/15.78 , X, Z, Y, T, X, T, Y ) }.
% 15.35/15.78 substitution0:
% 15.35/15.78 X := X
% 15.35/15.78 Y := Y
% 15.35/15.78 Z := Z
% 15.35/15.78 T := T
% 15.35/15.78 end
% 15.35/15.78 permutation0:
% 15.35/15.78 0 ==> 0
% 15.35/15.78 1 ==> 1
% 15.35/15.78 end
% 15.35/15.78
% 15.35/15.78 subsumption: (42) {G0,W18,D2,L3,V4,M3} I { ! eqangle( Z, X, Z, Y, T, X, T,
% 15.35/15.78 Y ), ! coll( Z, T, Y ), cyclic( X, Y, Z, T ) }.
% 15.35/15.78 parent0: (57428) {G0,W18,D2,L3,V4,M3} { ! eqangle( Z, X, Z, Y, T, X, T, Y
% 15.35/15.78 ), ! coll( Z, T, Y ), cyclic( X, Y, Z, T ) }.
% 15.35/15.78 substitution0:
% 15.35/15.78 X := X
% 15.35/15.78 Y := Y
% 15.35/15.78 Z := Z
% 15.35/15.78 T := T
% 15.35/15.78 end
% 15.35/15.78 permutation0:
% 15.35/15.78 0 ==> 0
% 15.35/15.78 1 ==> 1
% 15.35/15.78 2 ==> 2
% 15.35/15.78 end
% 15.35/15.78
% 15.35/15.78 subsumption: (43) {G0,W29,D2,L5,V6,M5} I { ! cyclic( X, Y, U, Z ), ! cyclic
% 15.35/15.78 ( X, Y, U, T ), ! cyclic( X, Y, U, W ), ! eqangle( U, X, U, Y, W, Z, W, T
% 15.35/15.78 ), cong( X, Y, Z, T ) }.
% 15.35/15.78 parent0: (57429) {G0,W29,D2,L5,V6,M5} { ! cyclic( X, Y, U, Z ), ! cyclic(
% 15.35/15.78 X, Y, U, T ), ! cyclic( X, Y, U, W ), ! eqangle( U, X, U, Y, W, Z, W, T )
% 15.35/15.78 , cong( X, Y, Z, T ) }.
% 15.35/15.78 substitution0:
% 15.35/15.78 X := X
% 15.35/15.78 Y := Y
% 15.35/15.78 Z := Z
% 15.35/15.78 T := T
% 15.35/15.78 U := U
% 15.35/15.78 W := W
% 15.35/15.78 end
% 15.35/15.78 permutation0:
% 15.35/15.78 0 ==> 0
% 15.35/15.78 1 ==> 1
% 15.35/15.78 2 ==> 2
% 15.35/15.78 3 ==> 3
% 15.35/15.78 4 ==> 4
% 15.35/15.78 end
% 15.35/15.78
% 15.35/15.78 subsumption: (56) {G0,W15,D2,L3,V4,M3} I { ! cong( X, Z, Y, Z ), ! cong( X
% 15.35/15.78 , T, Y, T ), perp( X, Y, Z, T ) }.
% 15.35/15.78 parent0: (57442) {G0,W15,D2,L3,V4,M3} { ! cong( X, Z, Y, Z ), ! cong( X, T
% 15.35/15.78 , Y, T ), perp( X, Y, Z, T ) }.
% 15.35/15.78 substitution0:
% 15.35/15.78 X := X
% 15.35/15.78 Y := Y
% 15.35/15.78 Z := Z
% 15.35/15.78 T := T
% 15.35/15.78 end
% 15.35/15.78 permutation0:
% 15.35/15.78 0 ==> 0
% 15.35/15.78 1 ==> 1
% 15.35/15.78 2 ==> 2
% 15.35/15.78 end
% 15.35/15.78
% 15.35/15.78 subsumption: (96) {G0,W14,D2,L3,V4,M3} I { ! perp( X, T, Y, Z ), ! perp( Y
% 15.35/15.78 , T, X, Z ), alpha1( X, Y, Z ) }.
% 15.35/15.78 parent0: (57483) {G0,W14,D2,L3,V4,M3} { ! perp( X, T, Y, Z ), ! perp( Y, T
% 15.35/15.78 , X, Z ), alpha1( X, Y, Z ) }.
% 15.35/15.78 substitution0:
% 15.35/15.78 X := X
% 15.35/15.78 Y := Y
% 15.35/15.78 Z := Z
% 15.35/15.78 T := T
% 15.35/15.78 end
% 15.35/15.78 permutation0:
% 15.35/15.78 0 ==> 0
% 15.35/15.78 1 ==> 1
% 15.35/15.78 2 ==> 2
% 15.35/15.78 end
% 15.35/15.78
% 15.35/15.78 subsumption: (97) {G0,W11,D3,L2,V4,M2} I { ! alpha1( X, Y, Z ), coll(
% 15.35/15.78 skol11( X, T, Z ), Z, X ) }.
% 15.35/15.78 parent0: (57484) {G0,W11,D3,L2,V4,M2} { ! alpha1( X, Y, Z ), coll( skol11
% 15.35/15.78 ( X, T, Z ), Z, X ) }.
% 15.35/15.78 substitution0:
% 15.35/15.78 X := X
% 15.35/15.78 Y := Y
% 15.35/15.78 Z := Z
% 15.35/15.78 T := T
% 15.35/15.78 end
% 15.35/15.78 permutation0:
% 15.35/15.78 0 ==> 0
% 15.35/15.78 1 ==> 1
% 15.35/15.78 end
% 15.35/15.78
% 15.35/15.78 subsumption: (116) {G0,W5,D2,L1,V0,M1} I { perp( skol27, skol25, skol27,
% 15.35/15.78 skol26 ) }.
% 15.35/15.78 parent0: (57503) {G0,W5,D2,L1,V0,M1} { perp( skol27, skol25, skol27,
% 15.35/15.78 skol26 ) }.
% 15.35/15.78 substitution0:
% 15.35/15.78 end
% 15.35/15.78 permutation0:
% 15.35/15.78 0 ==> 0
% 15.35/15.78 end
% 15.35/15.78
% 15.35/15.78 subsumption: (128) {G0,W5,D2,L1,V0,M1} I { ! perp( skol24, skol23, skol20,
% 15.35/15.78 skol22 ) }.
% 15.35/15.78 parent0: (57515) {G0,W5,D2,L1,V0,M1} { ! perp( skol24, skol23, skol20,
% 15.35/15.78 skol22 ) }.
% 15.35/15.78 substitution0:
% 15.35/15.78 end
% 15.35/15.78 permutation0:
% 15.35/15.78 0 ==> 0
% 15.35/15.78 end
% 15.35/15.78
% 15.35/15.78 resolution: (57839) {G1,W12,D2,L3,V4,M3} { coll( X, Z, Y ), ! coll( Z, T,
% 15.35/15.78 X ), ! coll( Z, T, Y ) }.
% 15.35/15.78 parent0[0]: (0) {G0,W8,D2,L2,V3,M2} I { ! coll( X, Y, Z ), coll( X, Z, Y )
% 15.35/15.78 }.
% 15.35/15.78 parent1[2]: (2) {G0,W12,D2,L3,V4,M3} I { ! coll( X, T, Y ), ! coll( X, T, Z
% 15.35/15.78 ), coll( Y, Z, X ) }.
% 15.35/15.78 substitution0:
% 15.35/15.78 X := X
% 15.35/15.78 Y := Y
% 15.35/15.78 Z := Z
% 15.35/15.78 end
% 15.35/15.78 substitution1:
% 15.35/15.78 X := Z
% 15.35/15.78 Y := X
% 15.35/15.78 Z := Y
% 15.35/15.78 T := T
% 15.35/15.78 end
% 15.35/15.78
% 15.35/15.78 subsumption: (200) {G1,W12,D2,L3,V4,M3} R(2,0) { ! coll( X, Y, Z ), ! coll
% 15.35/15.78 ( X, Y, T ), coll( Z, X, T ) }.
% 15.35/15.78 parent0: (57839) {G1,W12,D2,L3,V4,M3} { coll( X, Z, Y ), ! coll( Z, T, X )
% 15.35/15.78 , ! coll( Z, T, Y ) }.
% 15.35/15.78 substitution0:
% 15.35/15.78 X := Z
% 15.35/15.78 Y := T
% 15.35/15.78 Z := X
% 15.35/15.78 T := Y
% 15.35/15.78 end
% 15.35/15.78 permutation0:
% 15.35/15.78 0 ==> 2
% 15.35/15.78 1 ==> 0
% 15.35/15.78 2 ==> 1
% 15.35/15.78 end
% 15.35/15.78
% 15.35/15.78 factor: (57841) {G1,W8,D2,L2,V3,M2} { ! coll( X, Y, Z ), coll( Z, X, Z )
% 15.35/15.78 }.
% 15.35/15.78 parent0[0, 1]: (200) {G1,W12,D2,L3,V4,M3} R(2,0) { ! coll( X, Y, Z ), !
% 15.35/15.78 coll( X, Y, T ), coll( Z, X, T ) }.
% 15.35/15.78 substitution0:
% 15.35/15.78 X := X
% 15.35/15.78 Y := Y
% 15.35/15.78 Z := Z
% 15.35/15.78 T := Z
% 15.35/15.78 end
% 15.35/15.78
% 15.35/15.78 subsumption: (207) {G2,W8,D2,L2,V3,M2} F(200) { ! coll( X, Y, Z ), coll( Z
% 15.35/15.78 , X, Z ) }.
% 15.35/15.78 parent0: (57841) {G1,W8,D2,L2,V3,M2} { ! coll( X, Y, Z ), coll( Z, X, Z )
% 15.35/15.78 }.
% 15.35/15.78 substitution0:
% 15.35/15.78 X := X
% 15.35/15.78 Y := Y
% 15.35/15.78 Z := Z
% 15.35/15.78 end
% 15.35/15.78 permutation0:
% 15.35/15.78 0 ==> 0
% 15.35/15.78 1 ==> 1
% 15.35/15.78 end
% 15.35/15.78
% 15.35/15.78 resolution: (57842) {G1,W12,D2,L3,V4,M3} { coll( Z, X, Z ), ! coll( Z, T,
% 15.35/15.78 X ), ! coll( Z, T, Y ) }.
% 15.35/15.78 parent0[0]: (207) {G2,W8,D2,L2,V3,M2} F(200) { ! coll( X, Y, Z ), coll( Z,
% 15.35/15.78 X, Z ) }.
% 15.35/15.78 parent1[2]: (2) {G0,W12,D2,L3,V4,M3} I { ! coll( X, T, Y ), ! coll( X, T, Z
% 15.35/15.78 ), coll( Y, Z, X ) }.
% 15.35/15.78 substitution0:
% 15.35/15.78 X := X
% 15.35/15.78 Y := Y
% 15.35/15.78 Z := Z
% 15.35/15.78 end
% 15.35/15.78 substitution1:
% 15.35/15.78 X := Z
% 15.35/15.78 Y := X
% 15.35/15.78 Z := Y
% 15.35/15.78 T := T
% 15.35/15.78 end
% 15.35/15.78
% 15.35/15.78 subsumption: (248) {G3,W12,D2,L3,V4,M3} R(207,2) { coll( X, Y, X ), ! coll
% 15.35/15.78 ( X, Z, Y ), ! coll( X, Z, T ) }.
% 15.35/15.78 parent0: (57842) {G1,W12,D2,L3,V4,M3} { coll( Z, X, Z ), ! coll( Z, T, X )
% 15.35/15.78 , ! coll( Z, T, Y ) }.
% 15.35/15.78 substitution0:
% 15.35/15.78 X := Y
% 15.35/15.78 Y := Y
% 15.35/15.78 Z := X
% 15.35/15.78 T := Z
% 15.35/15.78 end
% 15.35/15.78 permutation0:
% 15.35/15.78 0 ==> 0
% 15.35/15.78 1 ==> 1
% 15.35/15.78 2 ==> 1
% 15.35/15.78 end
% 15.35/15.78
% 15.35/15.78 factor: (57844) {G3,W8,D2,L2,V3,M2} { coll( X, Y, X ), ! coll( X, Z, Y )
% 15.35/15.78 }.
% 15.35/15.78 parent0[1, 2]: (248) {G3,W12,D2,L3,V4,M3} R(207,2) { coll( X, Y, X ), !
% 15.35/15.78 coll( X, Z, Y ), ! coll( X, Z, T ) }.
% 15.35/15.78 substitution0:
% 15.35/15.78 X := X
% 15.35/15.78 Y := Y
% 15.35/15.78 Z := Z
% 15.35/15.78 T := Y
% 15.35/15.78 end
% 15.35/15.78
% 15.35/15.78 subsumption: (263) {G4,W8,D2,L2,V3,M2} F(248) { coll( X, Y, X ), ! coll( X
% 15.35/15.78 , Z, Y ) }.
% 15.35/15.78 parent0: (57844) {G3,W8,D2,L2,V3,M2} { coll( X, Y, X ), ! coll( X, Z, Y )
% 15.35/15.78 }.
% 15.35/15.78 substitution0:
% 15.35/15.78 X := X
% 15.35/15.78 Y := Y
% 15.35/15.78 Z := Z
% 15.35/15.78 end
% 15.35/15.78 permutation0:
% 15.35/15.78 0 ==> 0
% 15.35/15.78 1 ==> 1
% 15.35/15.78 end
% 15.35/15.78
% 15.35/15.78 resolution: (57845) {G1,W5,D2,L1,V0,M1} { ! perp( skol24, skol23, skol22,
% 15.35/15.78 skol20 ) }.
% 15.35/15.78 parent0[0]: (128) {G0,W5,D2,L1,V0,M1} I { ! perp( skol24, skol23, skol20,
% 15.35/15.78 skol22 ) }.
% 15.35/15.78 parent1[1]: (6) {G0,W10,D2,L2,V4,M2} I { ! perp( X, Y, Z, T ), perp( X, Y,
% 15.35/15.78 T, Z ) }.
% 15.35/15.78 substitution0:
% 15.35/15.78 end
% 15.35/15.78 substitution1:
% 15.35/15.78 X := skol24
% 15.35/15.78 Y := skol23
% 15.35/15.78 Z := skol22
% 15.35/15.78 T := skol20
% 15.35/15.78 end
% 15.35/15.78
% 15.35/15.78 subsumption: (265) {G1,W5,D2,L1,V0,M1} R(6,128) { ! perp( skol24, skol23,
% 15.35/15.78 skol22, skol20 ) }.
% 15.35/15.78 parent0: (57845) {G1,W5,D2,L1,V0,M1} { ! perp( skol24, skol23, skol22,
% 15.35/15.78 skol20 ) }.
% 15.35/15.78 substitution0:
% 15.35/15.78 end
% 15.35/15.78 permutation0:
% 15.35/15.78 0 ==> 0
% 15.35/15.78 end
% 15.35/15.78
% 15.35/15.78 resolution: (57846) {G1,W5,D2,L1,V0,M1} { perp( skol27, skol26, skol27,
% 15.35/15.78 skol25 ) }.
% 15.35/15.78 parent0[0]: (7) {G0,W10,D2,L2,V4,M2} I { ! perp( X, Y, Z, T ), perp( Z, T,
% 15.35/15.78 X, Y ) }.
% 15.35/15.78 parent1[0]: (116) {G0,W5,D2,L1,V0,M1} I { perp( skol27, skol25, skol27,
% 15.35/15.78 skol26 ) }.
% 15.35/15.78 substitution0:
% 15.35/15.78 X := skol27
% 15.35/15.78 Y := skol25
% 15.35/15.78 Z := skol27
% 15.35/15.78 T := skol26
% 15.35/15.78 end
% 15.35/15.78 substitution1:
% 15.35/15.78 end
% 15.35/15.78
% 15.35/15.78 subsumption: (275) {G1,W5,D2,L1,V0,M1} R(7,116) { perp( skol27, skol26,
% 15.35/15.78 skol27, skol25 ) }.
% 15.35/15.78 parent0: (57846) {G1,W5,D2,L1,V0,M1} { perp( skol27, skol26, skol27,
% 15.35/15.78 skol25 ) }.
% 15.35/15.78 substitution0:
% 15.35/15.78 end
% 15.35/15.78 permutation0:
% 15.35/15.78 0 ==> 0
% 15.35/15.78 end
% 15.35/15.78
% 15.35/15.78 resolution: (57847) {G1,W15,D2,L3,V6,M3} { ! perp( Z, T, U, W ), para( X,
% 15.35/15.78 Y, U, W ), ! perp( Z, T, X, Y ) }.
% 15.35/15.78 parent0[0]: (8) {G0,W15,D2,L3,V6,M3} I { ! perp( X, Y, U, W ), ! perp( U, W
% 15.35/15.78 , Z, T ), para( X, Y, Z, T ) }.
% 15.35/15.78 parent1[1]: (7) {G0,W10,D2,L2,V4,M2} I { ! perp( X, Y, Z, T ), perp( Z, T,
% 15.35/15.78 X, Y ) }.
% 15.35/15.78 substitution0:
% 15.35/15.78 X := X
% 15.35/15.78 Y := Y
% 15.35/15.78 Z := U
% 15.35/15.78 T := W
% 15.35/15.78 U := Z
% 15.35/15.78 W := T
% 15.35/15.78 end
% 15.35/15.78 substitution1:
% 15.35/15.78 X := Z
% 15.35/15.78 Y := T
% 15.35/15.78 Z := X
% 15.35/15.78 T := Y
% 15.35/15.78 end
% 15.35/15.78
% 15.35/15.78 subsumption: (284) {G1,W15,D2,L3,V6,M3} R(8,7) { ! perp( X, Y, Z, T ), para
% 15.35/15.78 ( U, W, Z, T ), ! perp( X, Y, U, W ) }.
% 15.35/15.78 parent0: (57847) {G1,W15,D2,L3,V6,M3} { ! perp( Z, T, U, W ), para( X, Y,
% 15.35/15.78 U, W ), ! perp( Z, T, X, Y ) }.
% 15.35/15.78 substitution0:
% 15.35/15.78 X := U
% 15.35/15.78 Y := W
% 15.35/15.78 Z := X
% 15.35/15.78 T := Y
% 15.35/15.78 U := Z
% 15.35/15.78 W := T
% 15.35/15.78 end
% 15.35/15.78 permutation0:
% 15.35/15.78 0 ==> 0
% 15.35/15.78 1 ==> 1
% 15.35/15.78 2 ==> 2
% 15.35/15.78 end
% 15.35/15.78
% 15.35/15.78 resolution: (57852) {G1,W10,D2,L2,V2,M2} { ! perp( X, Y, skol27, skol25 )
% 15.35/15.78 , para( X, Y, skol27, skol26 ) }.
% 15.35/15.78 parent0[1]: (8) {G0,W15,D2,L3,V6,M3} I { ! perp( X, Y, U, W ), ! perp( U, W
% 15.35/15.78 , Z, T ), para( X, Y, Z, T ) }.
% 15.35/15.78 parent1[0]: (116) {G0,W5,D2,L1,V0,M1} I { perp( skol27, skol25, skol27,
% 15.35/15.78 skol26 ) }.
% 15.35/15.78 substitution0:
% 15.35/15.78 X := X
% 15.35/15.78 Y := Y
% 15.35/15.78 Z := skol27
% 15.35/15.78 T := skol26
% 15.35/15.78 U := skol27
% 15.35/15.78 W := skol25
% 15.35/15.78 end
% 15.35/15.78 substitution1:
% 15.35/15.78 end
% 15.35/15.78
% 15.35/15.78 subsumption: (289) {G1,W10,D2,L2,V2,M2} R(8,116) { ! perp( X, Y, skol27,
% 15.35/15.78 skol25 ), para( X, Y, skol27, skol26 ) }.
% 15.35/15.78 parent0: (57852) {G1,W10,D2,L2,V2,M2} { ! perp( X, Y, skol27, skol25 ),
% 15.35/15.78 para( X, Y, skol27, skol26 ) }.
% 15.35/15.78 substitution0:
% 15.35/15.78 X := X
% 15.35/15.78 Y := Y
% 15.35/15.78 end
% 15.35/15.78 permutation0:
% 15.35/15.78 0 ==> 0
% 15.35/15.78 1 ==> 1
% 15.35/15.78 end
% 15.35/15.78
% 15.35/15.78 resolution: (57854) {G1,W10,D2,L2,V4,M2} { cyclic( X, Y, T, Z ), ! cyclic
% 15.35/15.78 ( X, Z, Y, T ) }.
% 15.35/15.78 parent0[0]: (13) {G0,W10,D2,L2,V4,M2} I { ! cyclic( X, Y, Z, T ), cyclic( X
% 15.35/15.78 , Y, T, Z ) }.
% 15.35/15.78 parent1[1]: (14) {G0,W10,D2,L2,V4,M2} I { ! cyclic( X, Y, Z, T ), cyclic( X
% 15.35/15.78 , Z, Y, T ) }.
% 15.35/15.78 substitution0:
% 15.35/15.78 X := X
% 15.35/15.78 Y := Y
% 15.35/15.78 Z := Z
% 15.35/15.78 T := T
% 15.35/15.78 end
% 15.35/15.78 substitution1:
% 15.35/15.78 X := X
% 15.35/15.78 Y := Z
% 15.35/15.78 Z := Y
% 15.35/15.78 T := T
% 15.35/15.78 end
% 15.35/15.78
% 15.35/15.78 subsumption: (352) {G1,W10,D2,L2,V4,M2} R(14,13) { ! cyclic( X, Y, Z, T ),
% 15.35/15.78 cyclic( X, Z, T, Y ) }.
% 15.35/15.78 parent0: (57854) {G1,W10,D2,L2,V4,M2} { cyclic( X, Y, T, Z ), ! cyclic( X
% 15.35/15.78 , Z, Y, T ) }.
% 15.35/15.78 substitution0:
% 15.35/15.78 X := X
% 15.35/15.78 Y := Z
% 15.35/15.78 Z := Y
% 15.35/15.78 T := T
% 15.35/15.78 end
% 15.35/15.78 permutation0:
% 15.35/15.78 0 ==> 1
% 15.35/15.78 1 ==> 0
% 15.35/15.78 end
% 15.35/15.78
% 15.35/15.78 resolution: (57855) {G1,W10,D2,L2,V4,M2} { cyclic( Y, X, Z, T ), ! cyclic
% 15.35/15.78 ( X, Z, Y, T ) }.
% 15.35/15.78 parent0[0]: (15) {G0,W10,D2,L2,V4,M2} I { ! cyclic( X, Y, Z, T ), cyclic( Y
% 15.35/15.78 , X, Z, T ) }.
% 15.35/15.78 parent1[1]: (14) {G0,W10,D2,L2,V4,M2} I { ! cyclic( X, Y, Z, T ), cyclic( X
% 15.35/15.78 , Z, Y, T ) }.
% 15.35/15.78 substitution0:
% 15.35/15.78 X := X
% 15.35/15.78 Y := Y
% 15.35/15.78 Z := Z
% 15.35/15.78 T := T
% 15.35/15.78 end
% 15.35/15.78 substitution1:
% 15.35/15.78 X := X
% 15.35/15.78 Y := Z
% 15.35/15.78 Z := Y
% 15.35/15.78 T := T
% 15.35/15.78 end
% 15.35/15.78
% 15.35/15.78 subsumption: (360) {G1,W10,D2,L2,V4,M2} R(15,14) { cyclic( X, Y, Z, T ), !
% 15.35/15.78 cyclic( Y, Z, X, T ) }.
% 15.35/15.78 parent0: (57855) {G1,W10,D2,L2,V4,M2} { cyclic( Y, X, Z, T ), ! cyclic( X
% 15.35/15.78 , Z, Y, T ) }.
% 15.35/15.78 substitution0:
% 15.35/15.78 X := Y
% 15.35/15.78 Y := X
% 15.35/15.78 Z := Z
% 15.35/15.78 T := T
% 15.35/15.78 end
% 15.35/15.78 permutation0:
% 15.35/15.78 0 ==> 0
% 15.35/15.78 1 ==> 1
% 15.35/15.78 end
% 15.35/15.78
% 15.35/15.78 resolution: (57856) {G1,W10,D2,L2,V4,M2} { cyclic( Y, X, Z, T ), ! cyclic
% 15.35/15.78 ( X, Y, T, Z ) }.
% 15.35/15.78 parent0[0]: (15) {G0,W10,D2,L2,V4,M2} I { ! cyclic( X, Y, Z, T ), cyclic( Y
% 15.35/15.78 , X, Z, T ) }.
% 15.35/15.78 parent1[1]: (13) {G0,W10,D2,L2,V4,M2} I { ! cyclic( X, Y, Z, T ), cyclic( X
% 15.35/15.78 , Y, T, Z ) }.
% 15.35/15.78 substitution0:
% 15.35/15.78 X := X
% 15.35/15.78 Y := Y
% 15.35/15.78 Z := Z
% 15.35/15.78 T := T
% 15.35/15.78 end
% 15.35/15.78 substitution1:
% 15.35/15.78 X := X
% 15.35/15.78 Y := Y
% 15.35/15.78 Z := T
% 15.35/15.78 T := Z
% 15.35/15.78 end
% 15.35/15.78
% 15.35/15.78 subsumption: (362) {G1,W10,D2,L2,V4,M2} R(15,13) { cyclic( X, Y, Z, T ), !
% 15.35/15.78 cyclic( Y, X, T, Z ) }.
% 15.35/15.78 parent0: (57856) {G1,W10,D2,L2,V4,M2} { cyclic( Y, X, Z, T ), ! cyclic( X
% 15.35/15.78 , Y, T, Z ) }.
% 15.35/15.78 substitution0:
% 15.35/15.78 X := Y
% 15.35/15.78 Y := X
% 15.35/15.78 Z := Z
% 15.35/15.78 T := T
% 15.35/15.78 end
% 15.35/15.78 permutation0:
% 15.35/15.78 0 ==> 0
% 15.35/15.78 1 ==> 1
% 15.35/15.78 end
% 15.35/15.78
% 15.35/15.78 resolution: (57860) {G1,W15,D2,L3,V5,M3} { cyclic( Y, X, Z, T ), ! cyclic
% 15.35/15.78 ( U, X, Y, Z ), ! cyclic( U, X, Y, T ) }.
% 15.35/15.78 parent0[0]: (15) {G0,W10,D2,L2,V4,M2} I { ! cyclic( X, Y, Z, T ), cyclic( Y
% 15.35/15.78 , X, Z, T ) }.
% 15.35/15.78 parent1[2]: (16) {G0,W15,D2,L3,V5,M3} I { ! cyclic( U, X, Y, Z ), ! cyclic
% 15.35/15.78 ( U, X, Y, T ), cyclic( X, Y, Z, T ) }.
% 15.35/15.78 substitution0:
% 15.35/15.78 X := X
% 15.35/15.78 Y := Y
% 15.35/15.78 Z := Z
% 15.35/15.78 T := T
% 15.35/15.78 end
% 15.35/15.78 substitution1:
% 15.35/15.78 X := X
% 15.35/15.78 Y := Y
% 15.35/15.78 Z := Z
% 15.35/15.78 T := T
% 15.35/15.78 U := U
% 15.35/15.78 end
% 15.35/15.78
% 15.35/15.78 subsumption: (380) {G1,W15,D2,L3,V5,M3} R(16,15) { ! cyclic( X, Y, Z, T ),
% 15.35/15.78 ! cyclic( X, Y, Z, U ), cyclic( Z, Y, T, U ) }.
% 15.35/15.78 parent0: (57860) {G1,W15,D2,L3,V5,M3} { cyclic( Y, X, Z, T ), ! cyclic( U
% 15.35/15.78 , X, Y, Z ), ! cyclic( U, X, Y, T ) }.
% 15.35/15.78 substitution0:
% 15.35/15.78 X := Y
% 15.35/15.78 Y := Z
% 15.35/15.78 Z := T
% 15.35/15.78 T := U
% 15.35/15.78 U := X
% 15.35/15.78 end
% 15.35/15.78 permutation0:
% 15.35/15.78 0 ==> 2
% 15.35/15.78 1 ==> 0
% 15.35/15.78 2 ==> 1
% 15.35/15.78 end
% 15.35/15.78
% 15.35/15.78 resolution: (57863) {G1,W15,D2,L3,V5,M3} { ! cyclic( X, Y, Z, T ), cyclic
% 15.35/15.78 ( Y, Z, T, U ), ! cyclic( X, Y, U, Z ) }.
% 15.35/15.78 parent0[1]: (16) {G0,W15,D2,L3,V5,M3} I { ! cyclic( U, X, Y, Z ), ! cyclic
% 15.35/15.78 ( U, X, Y, T ), cyclic( X, Y, Z, T ) }.
% 15.35/15.78 parent1[1]: (13) {G0,W10,D2,L2,V4,M2} I { ! cyclic( X, Y, Z, T ), cyclic( X
% 15.35/15.78 , Y, T, Z ) }.
% 15.35/15.78 substitution0:
% 15.35/15.78 X := Y
% 15.35/15.78 Y := Z
% 15.35/15.78 Z := T
% 15.35/15.78 T := U
% 15.35/15.78 U := X
% 15.35/15.78 end
% 15.35/15.78 substitution1:
% 15.35/15.78 X := X
% 15.35/15.78 Y := Y
% 15.35/15.78 Z := U
% 15.35/15.78 T := Z
% 15.35/15.78 end
% 15.35/15.78
% 15.35/15.78 subsumption: (385) {G1,W15,D2,L3,V5,M3} R(16,13) { ! cyclic( X, Y, Z, T ),
% 15.35/15.78 cyclic( Y, Z, T, U ), ! cyclic( X, Y, U, Z ) }.
% 15.35/15.78 parent0: (57863) {G1,W15,D2,L3,V5,M3} { ! cyclic( X, Y, Z, T ), cyclic( Y
% 15.35/15.78 , Z, T, U ), ! cyclic( X, Y, U, Z ) }.
% 15.35/15.78 substitution0:
% 15.35/15.78 X := X
% 15.35/15.78 Y := Y
% 15.35/15.78 Z := Z
% 15.35/15.78 T := T
% 15.35/15.78 U := U
% 15.35/15.78 end
% 15.35/15.78 permutation0:
% 15.35/15.78 0 ==> 0
% 15.35/15.78 1 ==> 1
% 15.35/15.78 2 ==> 2
% 15.35/15.78 end
% 15.35/15.78
% 15.35/15.78 factor: (57865) {G1,W10,D2,L2,V4,M2} { ! cyclic( X, Y, Z, T ), cyclic( Z,
% 15.35/15.78 Y, T, T ) }.
% 15.35/15.78 parent0[0, 1]: (380) {G1,W15,D2,L3,V5,M3} R(16,15) { ! cyclic( X, Y, Z, T )
% 15.35/15.78 , ! cyclic( X, Y, Z, U ), cyclic( Z, Y, T, U ) }.
% 15.35/15.78 substitution0:
% 15.35/15.78 X := X
% 15.35/15.78 Y := Y
% 15.35/15.78 Z := Z
% 15.35/15.78 T := T
% 15.35/15.78 U := T
% 15.35/15.78 end
% 15.35/15.78
% 15.35/15.78 subsumption: (389) {G2,W10,D2,L2,V4,M2} F(380) { ! cyclic( X, Y, Z, T ),
% 15.35/15.78 cyclic( Z, Y, T, T ) }.
% 15.35/15.78 parent0: (57865) {G1,W10,D2,L2,V4,M2} { ! cyclic( X, Y, Z, T ), cyclic( Z
% 15.35/15.78 , Y, T, T ) }.
% 15.35/15.78 substitution0:
% 15.35/15.78 X := X
% 15.35/15.78 Y := Y
% 15.35/15.78 Z := Z
% 15.35/15.78 T := T
% 15.35/15.78 end
% 15.35/15.78 permutation0:
% 15.35/15.78 0 ==> 0
% 15.35/15.78 1 ==> 1
% 15.45/15.78 end
% 15.45/15.78
% 15.45/15.78 resolution: (57866) {G1,W10,D2,L2,V2,M2} { ! para( skol24, skol23, X, Y )
% 15.45/15.78 , ! perp( X, Y, skol22, skol20 ) }.
% 15.45/15.78 parent0[0]: (265) {G1,W5,D2,L1,V0,M1} R(6,128) { ! perp( skol24, skol23,
% 15.45/15.78 skol22, skol20 ) }.
% 15.45/15.78 parent1[2]: (9) {G0,W15,D2,L3,V6,M3} I { ! para( X, Y, U, W ), ! perp( U, W
% 15.45/15.78 , Z, T ), perp( X, Y, Z, T ) }.
% 15.45/15.78 substitution0:
% 15.45/15.78 end
% 15.45/15.78 substitution1:
% 15.45/15.78 X := skol24
% 15.45/15.78 Y := skol23
% 15.45/15.78 Z := skol22
% 15.45/15.78 T := skol20
% 15.45/15.78 U := X
% 15.45/15.78 W := Y
% 15.45/15.78 end
% 15.45/15.78
% 15.45/15.78 subsumption: (524) {G2,W10,D2,L2,V2,M2} R(265,9) { ! para( skol24, skol23,
% 15.45/15.78 X, Y ), ! perp( X, Y, skol22, skol20 ) }.
% 15.45/15.78 parent0: (57866) {G1,W10,D2,L2,V2,M2} { ! para( skol24, skol23, X, Y ), !
% 15.45/15.78 perp( X, Y, skol22, skol20 ) }.
% 15.45/15.78 substitution0:
% 15.45/15.78 X := X
% 15.45/15.78 Y := Y
% 15.45/15.78 end
% 15.45/15.78 permutation0:
% 15.45/15.78 0 ==> 0
% 15.45/15.78 1 ==> 1
% 15.45/15.78 end
% 15.45/15.78
% 15.45/15.78 resolution: (57868) {G1,W8,D2,L2,V3,M2} { coll( Y, X, X ), ! coll( X, Z, Y
% 15.45/15.78 ) }.
% 15.45/15.78 parent0[0]: (1) {G0,W8,D2,L2,V3,M2} I { ! coll( X, Y, Z ), coll( Y, X, Z )
% 15.45/15.78 }.
% 15.45/15.78 parent1[0]: (263) {G4,W8,D2,L2,V3,M2} F(248) { coll( X, Y, X ), ! coll( X,
% 15.45/15.78 Z, Y ) }.
% 15.45/15.78 substitution0:
% 15.45/15.78 X := X
% 15.45/15.78 Y := Y
% 15.45/15.78 Z := X
% 15.45/15.78 end
% 15.45/15.78 substitution1:
% 15.45/15.78 X := X
% 15.45/15.78 Y := Y
% 15.45/15.78 Z := Z
% 15.45/15.78 end
% 15.45/15.78
% 15.45/15.78 subsumption: (529) {G5,W8,D2,L2,V3,M2} R(263,1) { ! coll( X, Y, Z ), coll(
% 15.45/15.78 Z, X, X ) }.
% 15.45/15.78 parent0: (57868) {G1,W8,D2,L2,V3,M2} { coll( Y, X, X ), ! coll( X, Z, Y )
% 15.45/15.78 }.
% 15.45/15.78 substitution0:
% 15.45/15.78 X := X
% 15.45/15.78 Y := Z
% 15.45/15.78 Z := Y
% 15.45/15.78 end
% 15.45/15.78 permutation0:
% 15.45/15.78 0 ==> 1
% 15.45/15.78 1 ==> 0
% 15.45/15.78 end
% 15.45/15.78
% 15.45/15.78 resolution: (57869) {G1,W8,D2,L2,V3,M2} { coll( Z, X, X ), ! coll( Y, X, Z
% 15.45/15.78 ) }.
% 15.45/15.78 parent0[0]: (529) {G5,W8,D2,L2,V3,M2} R(263,1) { ! coll( X, Y, Z ), coll( Z
% 15.45/15.78 , X, X ) }.
% 15.45/15.78 parent1[1]: (1) {G0,W8,D2,L2,V3,M2} I { ! coll( X, Y, Z ), coll( Y, X, Z )
% 15.45/15.78 }.
% 15.45/15.78 substitution0:
% 15.45/15.78 X := X
% 15.45/15.78 Y := Y
% 15.45/15.78 Z := Z
% 15.45/15.78 end
% 15.45/15.78 substitution1:
% 15.45/15.78 X := Y
% 15.45/15.78 Y := X
% 15.45/15.78 Z := Z
% 15.45/15.78 end
% 15.45/15.78
% 15.45/15.78 subsumption: (534) {G6,W8,D2,L2,V3,M2} R(529,1) { coll( X, Y, Y ), ! coll(
% 15.45/15.78 Z, Y, X ) }.
% 15.45/15.78 parent0: (57869) {G1,W8,D2,L2,V3,M2} { coll( Z, X, X ), ! coll( Y, X, Z )
% 15.45/15.78 }.
% 15.45/15.78 substitution0:
% 15.45/15.78 X := Y
% 15.45/15.78 Y := Z
% 15.45/15.78 Z := X
% 15.45/15.78 end
% 15.45/15.78 permutation0:
% 15.45/15.78 0 ==> 0
% 15.45/15.78 1 ==> 1
% 15.45/15.78 end
% 15.45/15.78
% 15.45/15.78 resolution: (57870) {G1,W8,D2,L2,V3,M2} { coll( Z, X, X ), ! coll( X, Z, Y
% 15.45/15.78 ) }.
% 15.45/15.78 parent0[0]: (529) {G5,W8,D2,L2,V3,M2} R(263,1) { ! coll( X, Y, Z ), coll( Z
% 15.45/15.78 , X, X ) }.
% 15.45/15.78 parent1[1]: (0) {G0,W8,D2,L2,V3,M2} I { ! coll( X, Y, Z ), coll( X, Z, Y )
% 15.45/15.78 }.
% 15.45/15.78 substitution0:
% 15.45/15.78 X := X
% 15.45/15.78 Y := Y
% 15.45/15.78 Z := Z
% 15.45/15.78 end
% 15.45/15.78 substitution1:
% 15.45/15.78 X := X
% 15.45/15.78 Y := Z
% 15.45/15.78 Z := Y
% 15.45/15.78 end
% 15.45/15.78
% 15.45/15.78 subsumption: (535) {G6,W8,D2,L2,V3,M2} R(529,0) { coll( X, Y, Y ), ! coll(
% 15.45/15.78 Y, X, Z ) }.
% 15.45/15.78 parent0: (57870) {G1,W8,D2,L2,V3,M2} { coll( Z, X, X ), ! coll( X, Z, Y )
% 15.45/15.78 }.
% 15.45/15.78 substitution0:
% 15.45/15.78 X := Y
% 15.45/15.78 Y := Z
% 15.45/15.78 Z := X
% 15.45/15.78 end
% 15.45/15.78 permutation0:
% 15.45/15.78 0 ==> 0
% 15.45/15.78 1 ==> 1
% 15.45/15.78 end
% 15.45/15.78
% 15.45/15.78 resolution: (57872) {G6,W8,D2,L2,V3,M2} { coll( Y, X, X ), ! coll( Z, Y, X
% 15.45/15.78 ) }.
% 15.45/15.78 parent0[0]: (529) {G5,W8,D2,L2,V3,M2} R(263,1) { ! coll( X, Y, Z ), coll( Z
% 15.45/15.78 , X, X ) }.
% 15.45/15.78 parent1[0]: (534) {G6,W8,D2,L2,V3,M2} R(529,1) { coll( X, Y, Y ), ! coll( Z
% 15.45/15.78 , Y, X ) }.
% 15.45/15.78 substitution0:
% 15.45/15.78 X := X
% 15.45/15.78 Y := Y
% 15.45/15.78 Z := Y
% 15.45/15.78 end
% 15.45/15.78 substitution1:
% 15.45/15.78 X := X
% 15.45/15.78 Y := Y
% 15.45/15.78 Z := Z
% 15.45/15.78 end
% 15.45/15.78
% 15.45/15.78 subsumption: (538) {G7,W8,D2,L2,V3,M2} R(534,529) { ! coll( X, Y, Z ), coll
% 15.45/15.78 ( Y, Z, Z ) }.
% 15.45/15.78 parent0: (57872) {G6,W8,D2,L2,V3,M2} { coll( Y, X, X ), ! coll( Z, Y, X )
% 15.45/15.78 }.
% 15.45/15.78 substitution0:
% 15.45/15.78 X := Z
% 15.45/15.78 Y := Y
% 15.45/15.78 Z := X
% 15.45/15.78 end
% 15.45/15.78 permutation0:
% 15.45/15.78 0 ==> 1
% 15.45/15.78 1 ==> 0
% 15.45/15.78 end
% 15.45/15.78
% 15.45/15.78 resolution: (57873) {G7,W8,D2,L2,V3,M2} { coll( X, Y, Y ), ! coll( X, Y, Z
% 15.45/15.78 ) }.
% 15.45/15.78 parent0[1]: (535) {G6,W8,D2,L2,V3,M2} R(529,0) { coll( X, Y, Y ), ! coll( Y
% 15.45/15.78 , X, Z ) }.
% 15.45/15.78 parent1[0]: (535) {G6,W8,D2,L2,V3,M2} R(529,0) { coll( X, Y, Y ), ! coll( Y
% 15.45/15.78 , X, Z ) }.
% 15.45/15.78 substitution0:
% 15.45/15.78 X := X
% 15.45/15.78 Y := Y
% 15.45/15.78 Z := X
% 15.45/15.78 end
% 15.45/15.78 substitution1:
% 15.45/15.78 X := Y
% 15.45/15.78 Y := X
% 15.45/15.78 Z := Z
% 15.45/15.78 end
% 15.45/15.78
% 15.45/15.78 subsumption: (541) {G7,W8,D2,L2,V3,M2} R(535,535) { ! coll( X, Y, Z ), coll
% 15.45/15.78 ( X, Y, Y ) }.
% 15.45/15.78 parent0: (57873) {G7,W8,D2,L2,V3,M2} { coll( X, Y, Y ), ! coll( X, Y, Z )
% 15.45/15.78 }.
% 15.45/15.78 substitution0:
% 15.45/15.78 X := X
% 15.45/15.78 Y := Y
% 15.45/15.78 Z := Z
% 15.45/15.78 end
% 15.45/15.78 permutation0:
% 15.45/15.78 0 ==> 1
% 15.45/15.78 1 ==> 0
% 15.45/15.78 end
% 15.45/15.78
% 15.45/15.78 resolution: (57877) {G1,W12,D2,L3,V4,M3} { ! coll( X, Y, Z ), coll( Z, Y,
% 15.45/15.78 X ), ! coll( X, Y, T ) }.
% 15.45/15.78 parent0[1]: (2) {G0,W12,D2,L3,V4,M3} I { ! coll( X, T, Y ), ! coll( X, T, Z
% 15.45/15.78 ), coll( Y, Z, X ) }.
% 15.45/15.78 parent1[1]: (541) {G7,W8,D2,L2,V3,M2} R(535,535) { ! coll( X, Y, Z ), coll
% 15.45/15.78 ( X, Y, Y ) }.
% 15.45/15.78 substitution0:
% 15.45/15.78 X := X
% 15.45/15.78 Y := Z
% 15.45/15.78 Z := Y
% 15.45/15.78 T := Y
% 15.45/15.78 end
% 15.45/15.78 substitution1:
% 15.45/15.78 X := X
% 15.45/15.78 Y := Y
% 15.45/15.78 Z := T
% 15.45/15.78 end
% 15.45/15.78
% 15.45/15.78 subsumption: (544) {G8,W12,D2,L3,V4,M3} R(541,2) { ! coll( X, Y, Z ), !
% 15.45/15.78 coll( X, Y, T ), coll( T, Y, X ) }.
% 15.45/15.78 parent0: (57877) {G1,W12,D2,L3,V4,M3} { ! coll( X, Y, Z ), coll( Z, Y, X )
% 15.45/15.78 , ! coll( X, Y, T ) }.
% 15.45/15.78 substitution0:
% 15.45/15.78 X := X
% 15.45/15.78 Y := Y
% 15.45/15.78 Z := T
% 15.45/15.78 T := Z
% 15.45/15.78 end
% 15.45/15.78 permutation0:
% 15.45/15.78 0 ==> 1
% 15.45/15.78 1 ==> 2
% 15.45/15.78 2 ==> 0
% 15.45/15.78 end
% 15.45/15.78
% 15.45/15.78 factor: (57880) {G8,W8,D2,L2,V3,M2} { ! coll( X, Y, Z ), coll( Z, Y, X )
% 15.45/15.78 }.
% 15.45/15.78 parent0[0, 1]: (544) {G8,W12,D2,L3,V4,M3} R(541,2) { ! coll( X, Y, Z ), !
% 15.45/15.78 coll( X, Y, T ), coll( T, Y, X ) }.
% 15.45/15.78 substitution0:
% 15.45/15.78 X := X
% 15.45/15.78 Y := Y
% 15.45/15.78 Z := Z
% 15.45/15.78 T := Z
% 15.45/15.78 end
% 15.45/15.78
% 15.45/15.78 subsumption: (545) {G9,W8,D2,L2,V3,M2} F(544) { ! coll( X, Y, Z ), coll( Z
% 15.45/15.78 , Y, X ) }.
% 15.45/15.78 parent0: (57880) {G8,W8,D2,L2,V3,M2} { ! coll( X, Y, Z ), coll( Z, Y, X )
% 15.45/15.78 }.
% 15.45/15.78 substitution0:
% 15.45/15.78 X := X
% 15.45/15.78 Y := Y
% 15.45/15.78 Z := Z
% 15.45/15.78 end
% 15.45/15.78 permutation0:
% 15.45/15.78 0 ==> 0
% 15.45/15.78 1 ==> 1
% 15.45/15.78 end
% 15.45/15.78
% 15.45/15.78 resolution: (57881) {G8,W8,D2,L2,V3,M2} { coll( Y, Y, X ), ! coll( Z, X, Y
% 15.45/15.78 ) }.
% 15.45/15.78 parent0[0]: (545) {G9,W8,D2,L2,V3,M2} F(544) { ! coll( X, Y, Z ), coll( Z,
% 15.45/15.78 Y, X ) }.
% 15.45/15.78 parent1[1]: (538) {G7,W8,D2,L2,V3,M2} R(534,529) { ! coll( X, Y, Z ), coll
% 15.45/15.78 ( Y, Z, Z ) }.
% 15.45/15.78 substitution0:
% 15.45/15.78 X := X
% 15.45/15.78 Y := Y
% 15.45/15.78 Z := Y
% 15.45/15.78 end
% 15.45/15.78 substitution1:
% 15.45/15.78 X := Z
% 15.45/15.78 Y := X
% 15.45/15.78 Z := Y
% 15.45/15.78 end
% 15.45/15.78
% 15.45/15.78 subsumption: (551) {G10,W8,D2,L2,V3,M2} R(545,538) { coll( X, X, Y ), !
% 15.45/15.78 coll( Z, Y, X ) }.
% 15.45/15.78 parent0: (57881) {G8,W8,D2,L2,V3,M2} { coll( Y, Y, X ), ! coll( Z, X, Y )
% 15.45/15.78 }.
% 15.45/15.78 substitution0:
% 15.45/15.78 X := Y
% 15.45/15.78 Y := X
% 15.45/15.78 Z := Z
% 15.45/15.78 end
% 15.45/15.78 permutation0:
% 15.45/15.78 0 ==> 0
% 15.45/15.78 1 ==> 1
% 15.45/15.78 end
% 15.45/15.78
% 15.45/15.78 resolution: (57882) {G1,W14,D2,L2,V6,M2} { eqangle( Z, T, X, Y, Z, T, U, W
% 15.45/15.78 ), ! para( X, Y, U, W ) }.
% 15.45/15.78 parent0[0]: (18) {G0,W18,D2,L2,V8,M2} I { ! eqangle( X, Y, Z, T, U, W, V0,
% 15.45/15.78 V1 ), eqangle( Z, T, X, Y, V0, V1, U, W ) }.
% 15.45/15.78 parent1[1]: (39) {G0,W14,D2,L2,V6,M2} I { ! para( X, Y, Z, T ), eqangle( X
% 15.45/15.78 , Y, U, W, Z, T, U, W ) }.
% 15.45/15.78 substitution0:
% 15.45/15.78 X := X
% 15.45/15.78 Y := Y
% 15.45/15.78 Z := Z
% 15.45/15.78 T := T
% 15.45/15.78 U := U
% 15.45/15.78 W := W
% 15.45/15.78 V0 := Z
% 15.45/15.78 V1 := T
% 15.45/15.78 end
% 15.45/15.78 substitution1:
% 15.45/15.78 X := X
% 15.45/15.78 Y := Y
% 15.45/15.78 Z := U
% 15.45/15.78 T := W
% 15.45/15.78 U := Z
% 15.45/15.78 W := T
% 15.45/15.78 end
% 15.45/15.78
% 15.45/15.78 subsumption: (779) {G1,W14,D2,L2,V6,M2} R(39,18) { ! para( X, Y, Z, T ),
% 15.45/15.78 eqangle( U, W, X, Y, U, W, Z, T ) }.
% 15.45/15.78 parent0: (57882) {G1,W14,D2,L2,V6,M2} { eqangle( Z, T, X, Y, Z, T, U, W )
% 15.45/15.78 , ! para( X, Y, U, W ) }.
% 15.45/15.78 substitution0:
% 15.45/15.78 X := X
% 15.45/15.78 Y := Y
% 15.45/15.78 Z := U
% 15.45/15.78 T := W
% 15.45/15.78 U := Z
% 15.45/15.78 W := T
% 15.45/15.78 end
% 15.45/15.78 permutation0:
% 15.45/15.78 0 ==> 1
% 15.45/15.78 1 ==> 0
% 15.45/15.78 end
% 15.45/15.78
% 15.45/15.78 resolution: (57883) {G1,W18,D2,L3,V4,M3} { ! coll( X, T, Z ), cyclic( Y, Z
% 15.45/15.78 , X, T ), ! eqangle( T, Y, T, Z, X, Y, X, Z ) }.
% 15.45/15.78 parent0[0]: (42) {G0,W18,D2,L3,V4,M3} I { ! eqangle( Z, X, Z, Y, T, X, T, Y
% 15.45/15.78 ), ! coll( Z, T, Y ), cyclic( X, Y, Z, T ) }.
% 15.45/15.78 parent1[1]: (19) {G0,W18,D2,L2,V8,M2} I { ! eqangle( X, Y, Z, T, U, W, V0,
% 15.45/15.78 V1 ), eqangle( U, W, V0, V1, X, Y, Z, T ) }.
% 15.45/15.78 substitution0:
% 15.45/15.78 X := Y
% 15.45/15.78 Y := Z
% 15.45/15.78 Z := X
% 15.45/15.78 T := T
% 15.45/15.78 end
% 15.45/15.78 substitution1:
% 15.45/15.78 X := T
% 15.45/15.78 Y := Y
% 15.45/15.78 Z := T
% 15.45/15.78 T := Z
% 15.45/15.78 U := X
% 15.45/15.78 W := Y
% 15.45/15.78 V0 := X
% 15.45/15.78 V1 := Z
% 15.45/15.78 end
% 15.45/15.78
% 15.45/15.78 subsumption: (847) {G1,W18,D2,L3,V4,M3} R(42,19) { ! coll( X, Y, Z ),
% 15.45/15.78 cyclic( T, Z, X, Y ), ! eqangle( Y, T, Y, Z, X, T, X, Z ) }.
% 15.45/15.78 parent0: (57883) {G1,W18,D2,L3,V4,M3} { ! coll( X, T, Z ), cyclic( Y, Z, X
% 15.45/15.78 , T ), ! eqangle( T, Y, T, Z, X, Y, X, Z ) }.
% 15.45/15.78 substitution0:
% 15.45/15.78 X := X
% 15.45/15.78 Y := T
% 15.45/15.78 Z := Z
% 15.45/15.78 T := Y
% 15.45/15.78 end
% 15.45/15.78 permutation0:
% 15.45/15.78 0 ==> 0
% 15.45/15.78 1 ==> 1
% 15.45/15.78 2 ==> 2
% 15.45/15.78 end
% 15.45/15.78
% 15.45/15.78 resolution: (57884) {G1,W25,D2,L5,V4,M5} { ! cyclic( X, Y, Z, X ), !
% 15.45/15.78 cyclic( X, Y, Z, Y ), ! cyclic( X, Y, Z, T ), cong( X, Y, X, Y ), !
% 15.45/15.78 cyclic( X, Y, Z, T ) }.
% 15.45/15.78 parent0[3]: (43) {G0,W29,D2,L5,V6,M5} I { ! cyclic( X, Y, U, Z ), ! cyclic
% 15.45/15.78 ( X, Y, U, T ), ! cyclic( X, Y, U, W ), ! eqangle( U, X, U, Y, W, Z, W, T
% 15.45/15.78 ), cong( X, Y, Z, T ) }.
% 15.45/15.78 parent1[1]: (40) {G0,W14,D2,L2,V4,M2} I { ! cyclic( X, Y, Z, T ), eqangle(
% 15.45/15.78 Z, X, Z, Y, T, X, T, Y ) }.
% 15.45/15.78 substitution0:
% 15.45/15.78 X := X
% 15.45/15.78 Y := Y
% 15.45/15.78 Z := X
% 15.45/15.78 T := Y
% 15.45/15.78 U := Z
% 15.45/15.78 W := T
% 15.45/15.78 end
% 15.45/15.78 substitution1:
% 15.45/15.78 X := X
% 15.45/15.78 Y := Y
% 15.45/15.78 Z := Z
% 15.45/15.78 T := T
% 15.45/15.78 end
% 15.45/15.78
% 15.45/15.78 factor: (57886) {G1,W20,D2,L4,V3,M4} { ! cyclic( X, Y, Z, X ), ! cyclic( X
% 15.45/15.78 , Y, Z, Y ), cong( X, Y, X, Y ), ! cyclic( X, Y, Z, X ) }.
% 15.45/15.78 parent0[0, 2]: (57884) {G1,W25,D2,L5,V4,M5} { ! cyclic( X, Y, Z, X ), !
% 15.45/15.78 cyclic( X, Y, Z, Y ), ! cyclic( X, Y, Z, T ), cong( X, Y, X, Y ), !
% 15.45/15.78 cyclic( X, Y, Z, T ) }.
% 15.45/15.78 substitution0:
% 15.45/15.78 X := X
% 15.45/15.78 Y := Y
% 15.45/15.78 Z := Z
% 15.45/15.78 T := X
% 15.45/15.78 end
% 15.45/15.78
% 15.45/15.78 subsumption: (935) {G1,W20,D2,L4,V4,M4} R(43,40);f { ! cyclic( X, Y, Z, X )
% 15.45/15.78 , ! cyclic( X, Y, Z, Y ), ! cyclic( X, Y, Z, T ), cong( X, Y, X, Y ) }.
% 15.45/15.78 parent0: (57886) {G1,W20,D2,L4,V3,M4} { ! cyclic( X, Y, Z, X ), ! cyclic(
% 15.45/15.78 X, Y, Z, Y ), cong( X, Y, X, Y ), ! cyclic( X, Y, Z, X ) }.
% 15.45/15.78 substitution0:
% 15.45/15.78 X := X
% 15.45/15.78 Y := Y
% 15.45/15.78 Z := Z
% 15.45/15.78 end
% 15.45/15.78 permutation0:
% 15.45/15.78 0 ==> 0
% 15.45/15.78 1 ==> 1
% 15.45/15.78 2 ==> 3
% 15.45/15.78 3 ==> 0
% 15.45/15.78 end
% 15.45/15.78
% 15.45/15.78 factor: (57891) {G1,W15,D2,L3,V3,M3} { ! cyclic( X, Y, Z, X ), ! cyclic( X
% 15.45/15.78 , Y, Z, Y ), cong( X, Y, X, Y ) }.
% 15.45/15.78 parent0[0, 2]: (935) {G1,W20,D2,L4,V4,M4} R(43,40);f { ! cyclic( X, Y, Z, X
% 15.45/15.78 ), ! cyclic( X, Y, Z, Y ), ! cyclic( X, Y, Z, T ), cong( X, Y, X, Y )
% 15.45/15.78 }.
% 15.45/15.78 substitution0:
% 15.45/15.78 X := X
% 15.45/15.78 Y := Y
% 15.45/15.78 Z := Z
% 15.45/15.78 T := X
% 15.45/15.78 end
% 15.45/15.78
% 15.45/15.78 subsumption: (967) {G2,W15,D2,L3,V3,M3} F(935) { ! cyclic( X, Y, Z, X ), !
% 15.45/15.78 cyclic( X, Y, Z, Y ), cong( X, Y, X, Y ) }.
% 15.45/15.78 parent0: (57891) {G1,W15,D2,L3,V3,M3} { ! cyclic( X, Y, Z, X ), ! cyclic(
% 15.45/15.78 X, Y, Z, Y ), cong( X, Y, X, Y ) }.
% 15.45/15.78 substitution0:
% 15.45/15.78 X := X
% 15.45/15.78 Y := Y
% 15.45/15.78 Z := Z
% 15.45/15.78 end
% 15.45/15.78 permutation0:
% 15.45/15.78 0 ==> 0
% 15.45/15.78 1 ==> 1
% 15.45/15.78 2 ==> 2
% 15.45/15.78 end
% 15.45/15.78
% 15.45/15.78 resolution: (57893) {G1,W9,D2,L2,V0,M2} { ! perp( skol27, skol25, skol27,
% 15.45/15.78 skol26 ), alpha1( skol27, skol27, skol26 ) }.
% 15.45/15.78 parent0[0]: (96) {G0,W14,D2,L3,V4,M3} I { ! perp( X, T, Y, Z ), ! perp( Y,
% 15.45/15.78 T, X, Z ), alpha1( X, Y, Z ) }.
% 15.45/15.78 parent1[0]: (116) {G0,W5,D2,L1,V0,M1} I { perp( skol27, skol25, skol27,
% 15.45/15.78 skol26 ) }.
% 15.45/15.78 substitution0:
% 15.45/15.78 X := skol27
% 15.45/15.78 Y := skol27
% 15.45/15.78 Z := skol26
% 15.45/15.78 T := skol25
% 15.45/15.78 end
% 15.45/15.78 substitution1:
% 15.45/15.78 end
% 15.45/15.78
% 15.45/15.78 resolution: (57894) {G1,W4,D2,L1,V0,M1} { alpha1( skol27, skol27, skol26 )
% 15.45/15.78 }.
% 15.45/15.78 parent0[0]: (57893) {G1,W9,D2,L2,V0,M2} { ! perp( skol27, skol25, skol27,
% 15.45/15.78 skol26 ), alpha1( skol27, skol27, skol26 ) }.
% 15.45/15.78 parent1[0]: (116) {G0,W5,D2,L1,V0,M1} I { perp( skol27, skol25, skol27,
% 15.45/15.78 skol26 ) }.
% 15.45/15.78 substitution0:
% 15.45/15.78 end
% 15.45/15.78 substitution1:
% 15.45/15.78 end
% 15.45/15.78
% 15.45/15.78 subsumption: (4198) {G1,W4,D2,L1,V0,M1} R(96,116);r(116) { alpha1( skol27,
% 15.45/15.78 skol27, skol26 ) }.
% 15.45/15.78 parent0: (57894) {G1,W4,D2,L1,V0,M1} { alpha1( skol27, skol27, skol26 )
% 15.45/15.78 }.
% 15.45/15.78 substitution0:
% 15.45/15.78 end
% 15.45/15.78 permutation0:
% 15.45/15.78 0 ==> 0
% 15.45/15.78 end
% 15.45/15.78
% 15.45/15.78 resolution: (57895) {G1,W7,D3,L1,V1,M1} { coll( skol11( skol27, X, skol26
% 15.45/15.78 ), skol26, skol27 ) }.
% 15.45/15.78 parent0[0]: (97) {G0,W11,D3,L2,V4,M2} I { ! alpha1( X, Y, Z ), coll( skol11
% 15.45/15.78 ( X, T, Z ), Z, X ) }.
% 15.45/15.78 parent1[0]: (4198) {G1,W4,D2,L1,V0,M1} R(96,116);r(116) { alpha1( skol27,
% 15.45/15.78 skol27, skol26 ) }.
% 15.45/15.78 substitution0:
% 15.45/15.78 X := skol27
% 15.45/15.78 Y := skol27
% 15.45/15.78 Z := skol26
% 15.45/15.78 T := X
% 15.45/15.78 end
% 15.45/15.78 substitution1:
% 15.45/15.78 end
% 15.45/15.78
% 15.45/15.78 subsumption: (4203) {G2,W7,D3,L1,V1,M1} R(97,4198) { coll( skol11( skol27,
% 15.45/15.78 X, skol26 ), skol26, skol27 ) }.
% 15.45/15.78 parent0: (57895) {G1,W7,D3,L1,V1,M1} { coll( skol11( skol27, X, skol26 ),
% 15.45/15.78 skol26, skol27 ) }.
% 15.45/15.78 substitution0:
% 15.45/15.78 X := X
% 15.45/15.78 end
% 15.45/15.78 permutation0:
% 15.45/15.78 0 ==> 0
% 15.45/15.78 end
% 15.45/15.78
% 15.45/15.78 resolution: (57896) {G3,W4,D2,L1,V0,M1} { coll( skol27, skol27, skol26 )
% 15.45/15.78 }.
% 15.45/15.78 parent0[1]: (551) {G10,W8,D2,L2,V3,M2} R(545,538) { coll( X, X, Y ), ! coll
% 15.45/15.78 ( Z, Y, X ) }.
% 15.45/15.78 parent1[0]: (4203) {G2,W7,D3,L1,V1,M1} R(97,4198) { coll( skol11( skol27, X
% 15.45/15.78 , skol26 ), skol26, skol27 ) }.
% 15.45/15.78 substitution0:
% 15.45/15.78 X := skol27
% 15.45/15.78 Y := skol26
% 15.45/15.78 Z := skol11( skol27, X, skol26 )
% 15.45/15.78 end
% 15.45/15.78 substitution1:
% 15.45/15.78 X := X
% 15.45/15.78 end
% 15.45/15.78
% 15.45/15.78 subsumption: (4350) {G11,W4,D2,L1,V0,M1} R(4203,551) { coll( skol27, skol27
% 15.45/15.78 , skol26 ) }.
% 15.45/15.78 parent0: (57896) {G3,W4,D2,L1,V0,M1} { coll( skol27, skol27, skol26 ) }.
% 15.45/15.78 substitution0:
% 15.45/15.78 end
% 15.45/15.78 permutation0:
% 15.45/15.78 0 ==> 0
% 15.45/15.78 end
% 15.45/15.78
% 15.45/15.78 resolution: (57897) {G2,W5,D2,L1,V0,M1} { para( skol27, skol26, skol27,
% 15.45/15.78 skol26 ) }.
% 15.45/15.78 parent0[0]: (289) {G1,W10,D2,L2,V2,M2} R(8,116) { ! perp( X, Y, skol27,
% 15.45/15.78 skol25 ), para( X, Y, skol27, skol26 ) }.
% 15.45/15.78 parent1[0]: (275) {G1,W5,D2,L1,V0,M1} R(7,116) { perp( skol27, skol26,
% 15.45/15.78 skol27, skol25 ) }.
% 15.45/15.78 substitution0:
% 15.45/15.78 X := skol27
% 15.45/15.78 Y := skol26
% 15.45/15.78 end
% 15.45/15.78 substitution1:
% 15.45/15.78 end
% 15.45/15.78
% 15.45/15.78 subsumption: (15705) {G2,W5,D2,L1,V0,M1} R(289,275) { para( skol27, skol26
% 15.45/15.78 , skol27, skol26 ) }.
% 15.45/15.78 parent0: (57897) {G2,W5,D2,L1,V0,M1} { para( skol27, skol26, skol27,
% 15.45/15.78 skol26 ) }.
% 15.45/15.78 substitution0:
% 15.45/15.78 end
% 15.45/15.78 permutation0:
% 15.45/15.78 0 ==> 0
% 15.45/15.78 end
% 15.45/15.78
% 15.45/15.78 resolution: (57898) {G2,W9,D2,L1,V2,M1} { eqangle( X, Y, skol27, skol26, X
% 15.45/15.78 , Y, skol27, skol26 ) }.
% 15.45/15.78 parent0[0]: (779) {G1,W14,D2,L2,V6,M2} R(39,18) { ! para( X, Y, Z, T ),
% 15.45/15.78 eqangle( U, W, X, Y, U, W, Z, T ) }.
% 15.45/15.78 parent1[0]: (15705) {G2,W5,D2,L1,V0,M1} R(289,275) { para( skol27, skol26,
% 15.45/15.78 skol27, skol26 ) }.
% 15.45/15.78 substitution0:
% 15.45/15.78 X := skol27
% 15.45/15.78 Y := skol26
% 15.45/15.78 Z := skol27
% 15.45/15.78 T := skol26
% 15.45/15.78 U := X
% 15.45/15.78 W := Y
% 15.45/15.78 end
% 15.45/15.78 substitution1:
% 15.45/15.78 end
% 15.45/15.78
% 15.45/15.78 subsumption: (46537) {G3,W9,D2,L1,V2,M1} R(779,15705) { eqangle( X, Y,
% 15.45/15.78 skol27, skol26, X, Y, skol27, skol26 ) }.
% 15.45/15.78 parent0: (57898) {G2,W9,D2,L1,V2,M1} { eqangle( X, Y, skol27, skol26, X, Y
% 15.45/15.78 , skol27, skol26 ) }.
% 15.45/15.78 substitution0:
% 15.45/15.78 X := X
% 15.45/15.78 Y := Y
% 15.45/15.78 end
% 15.45/15.78 permutation0:
% 15.45/15.78 0 ==> 0
% 15.45/15.78 end
% 15.45/15.78
% 15.45/15.78 resolution: (57899) {G2,W14,D2,L2,V1,M2} { cyclic( X, skol26, skol27,
% 15.45/15.78 skol27 ), ! eqangle( skol27, X, skol27, skol26, skol27, X, skol27, skol26
% 15.45/15.78 ) }.
% 15.45/15.78 parent0[0]: (847) {G1,W18,D2,L3,V4,M3} R(42,19) { ! coll( X, Y, Z ), cyclic
% 15.45/15.78 ( T, Z, X, Y ), ! eqangle( Y, T, Y, Z, X, T, X, Z ) }.
% 15.45/15.78 parent1[0]: (4350) {G11,W4,D2,L1,V0,M1} R(4203,551) { coll( skol27, skol27
% 15.45/15.78 , skol26 ) }.
% 15.45/15.78 substitution0:
% 15.45/15.78 X := skol27
% 15.45/15.78 Y := skol27
% 15.45/15.78 Z := skol26
% 15.45/15.78 T := X
% 15.45/15.78 end
% 15.45/15.78 substitution1:
% 15.45/15.78 end
% 15.45/15.78
% 15.45/15.78 resolution: (57900) {G3,W5,D2,L1,V1,M1} { cyclic( X, skol26, skol27,
% 15.45/15.78 skol27 ) }.
% 15.45/15.78 parent0[1]: (57899) {G2,W14,D2,L2,V1,M2} { cyclic( X, skol26, skol27,
% 15.45/15.78 skol27 ), ! eqangle( skol27, X, skol27, skol26, skol27, X, skol27, skol26
% 15.45/15.78 ) }.
% 15.45/15.78 parent1[0]: (46537) {G3,W9,D2,L1,V2,M1} R(779,15705) { eqangle( X, Y,
% 15.45/15.78 skol27, skol26, X, Y, skol27, skol26 ) }.
% 15.45/15.78 substitution0:
% 15.45/15.78 X := X
% 15.45/15.78 end
% 15.45/15.78 substitution1:
% 15.45/15.78 X := skol27
% 15.45/15.78 Y := X
% 15.45/15.78 end
% 15.45/15.78
% 15.45/15.78 subsumption: (50668) {G12,W5,D2,L1,V1,M1} R(847,4350);r(46537) { cyclic( X
% 15.45/15.78 , skol26, skol27, skol27 ) }.
% 15.45/15.78 parent0: (57900) {G3,W5,D2,L1,V1,M1} { cyclic( X, skol26, skol27, skol27 )
% 15.45/15.78 }.
% 15.45/15.78 substitution0:
% 15.45/15.78 X := X
% 15.45/15.78 end
% 15.45/15.78 permutation0:
% 15.45/15.78 0 ==> 0
% 15.45/15.78 end
% 15.45/15.78
% 15.45/15.78 resolution: (57901) {G2,W5,D2,L1,V1,M1} { cyclic( skol26, X, skol27,
% 15.45/15.78 skol27 ) }.
% 15.45/15.78 parent0[1]: (362) {G1,W10,D2,L2,V4,M2} R(15,13) { cyclic( X, Y, Z, T ), !
% 15.45/15.79 cyclic( Y, X, T, Z ) }.
% 15.45/15.79 parent1[0]: (50668) {G12,W5,D2,L1,V1,M1} R(847,4350);r(46537) { cyclic( X,
% 15.45/15.79 skol26, skol27, skol27 ) }.
% 15.45/15.79 substitution0:
% 15.45/15.79 X := skol26
% 15.45/15.79 Y := X
% 15.45/15.79 Z := skol27
% 15.45/15.79 T := skol27
% 15.45/15.79 end
% 15.45/15.79 substitution1:
% 15.45/15.79 X := X
% 15.45/15.79 end
% 15.45/15.79
% 15.45/15.79 subsumption: (50760) {G13,W5,D2,L1,V1,M1} R(50668,362) { cyclic( skol26, X
% 15.45/15.79 , skol27, skol27 ) }.
% 15.45/15.79 parent0: (57901) {G2,W5,D2,L1,V1,M1} { cyclic( skol26, X, skol27, skol27 )
% 15.45/15.79 }.
% 15.45/15.79 substitution0:
% 15.45/15.79 X := X
% 15.45/15.79 end
% 15.45/15.79 permutation0:
% 15.45/15.79 0 ==> 0
% 15.45/15.79 end
% 15.45/15.79
% 15.45/15.79 resolution: (57902) {G3,W5,D2,L1,V1,M1} { cyclic( skol27, X, skol27,
% 15.45/15.79 skol27 ) }.
% 15.45/15.79 parent0[0]: (389) {G2,W10,D2,L2,V4,M2} F(380) { ! cyclic( X, Y, Z, T ),
% 15.45/15.79 cyclic( Z, Y, T, T ) }.
% 15.45/15.79 parent1[0]: (50760) {G13,W5,D2,L1,V1,M1} R(50668,362) { cyclic( skol26, X,
% 15.45/15.79 skol27, skol27 ) }.
% 15.45/15.79 substitution0:
% 15.45/15.79 X := skol26
% 15.45/15.79 Y := X
% 15.45/15.79 Z := skol27
% 15.45/15.79 T := skol27
% 15.45/15.79 end
% 15.45/15.79 substitution1:
% 15.45/15.79 X := X
% 15.45/15.79 end
% 15.45/15.79
% 15.45/15.79 subsumption: (50772) {G14,W5,D2,L1,V1,M1} R(50760,389) { cyclic( skol27, X
% 15.45/15.79 , skol27, skol27 ) }.
% 15.45/15.79 parent0: (57902) {G3,W5,D2,L1,V1,M1} { cyclic( skol27, X, skol27, skol27 )
% 15.45/15.79 }.
% 15.45/15.79 substitution0:
% 15.45/15.79 X := X
% 15.45/15.79 end
% 15.45/15.79 permutation0:
% 15.45/15.79 0 ==> 0
% 15.45/15.79 end
% 15.45/15.79
% 15.45/15.79 resolution: (57903) {G2,W5,D2,L1,V1,M1} { cyclic( skol27, skol27, X,
% 15.45/15.79 skol27 ) }.
% 15.45/15.79 parent0[1]: (360) {G1,W10,D2,L2,V4,M2} R(15,14) { cyclic( X, Y, Z, T ), !
% 15.45/15.79 cyclic( Y, Z, X, T ) }.
% 15.45/15.79 parent1[0]: (50772) {G14,W5,D2,L1,V1,M1} R(50760,389) { cyclic( skol27, X,
% 15.45/15.79 skol27, skol27 ) }.
% 15.45/15.79 substitution0:
% 15.45/15.79 X := skol27
% 15.45/15.79 Y := skol27
% 15.45/15.79 Z := X
% 15.45/15.79 T := skol27
% 15.45/15.79 end
% 15.45/15.79 substitution1:
% 15.45/15.79 X := X
% 15.45/15.79 end
% 15.45/15.79
% 15.45/15.79 subsumption: (50794) {G15,W5,D2,L1,V1,M1} R(50772,360) { cyclic( skol27,
% 15.45/15.79 skol27, X, skol27 ) }.
% 15.45/15.79 parent0: (57903) {G2,W5,D2,L1,V1,M1} { cyclic( skol27, skol27, X, skol27 )
% 15.45/15.79 }.
% 15.45/15.79 substitution0:
% 15.45/15.79 X := X
% 15.45/15.79 end
% 15.45/15.79 permutation0:
% 15.45/15.79 0 ==> 0
% 15.45/15.79 end
% 15.45/15.79
% 15.45/15.79 resolution: (57904) {G2,W5,D2,L1,V1,M1} { cyclic( skol27, skol27, skol27,
% 15.45/15.79 X ) }.
% 15.45/15.79 parent0[0]: (352) {G1,W10,D2,L2,V4,M2} R(14,13) { ! cyclic( X, Y, Z, T ),
% 15.45/15.79 cyclic( X, Z, T, Y ) }.
% 15.45/15.79 parent1[0]: (50772) {G14,W5,D2,L1,V1,M1} R(50760,389) { cyclic( skol27, X,
% 15.45/15.79 skol27, skol27 ) }.
% 15.45/15.79 substitution0:
% 15.45/15.79 X := skol27
% 15.45/15.79 Y := X
% 15.45/15.79 Z := skol27
% 15.45/15.79 T := skol27
% 15.45/15.79 end
% 15.45/15.79 substitution1:
% 15.45/15.79 X := X
% 15.45/15.79 end
% 15.45/15.79
% 15.45/15.79 subsumption: (50795) {G15,W5,D2,L1,V1,M1} R(50772,352) { cyclic( skol27,
% 15.45/15.79 skol27, skol27, X ) }.
% 15.45/15.79 parent0: (57904) {G2,W5,D2,L1,V1,M1} { cyclic( skol27, skol27, skol27, X )
% 15.45/15.79 }.
% 15.45/15.79 substitution0:
% 15.45/15.79 X := X
% 15.45/15.79 end
% 15.45/15.79 permutation0:
% 15.45/15.79 0 ==> 0
% 15.45/15.79 end
% 15.45/15.79
% 15.45/15.79 resolution: (57906) {G2,W10,D2,L2,V2,M2} { ! cyclic( skol27, skol27,
% 15.45/15.79 skol27, X ), cyclic( skol27, skol27, X, Y ) }.
% 15.45/15.79 parent0[2]: (385) {G1,W15,D2,L3,V5,M3} R(16,13) { ! cyclic( X, Y, Z, T ),
% 15.45/15.79 cyclic( Y, Z, T, U ), ! cyclic( X, Y, U, Z ) }.
% 15.45/15.79 parent1[0]: (50794) {G15,W5,D2,L1,V1,M1} R(50772,360) { cyclic( skol27,
% 15.45/15.79 skol27, X, skol27 ) }.
% 15.45/15.79 substitution0:
% 15.45/15.79 X := skol27
% 15.45/15.79 Y := skol27
% 15.45/15.79 Z := skol27
% 15.45/15.79 T := X
% 15.45/15.79 U := Y
% 15.45/15.79 end
% 15.45/15.79 substitution1:
% 15.45/15.79 X := Y
% 15.45/15.79 end
% 15.45/15.79
% 15.45/15.79 resolution: (57907) {G3,W5,D2,L1,V2,M1} { cyclic( skol27, skol27, X, Y )
% 15.45/15.79 }.
% 15.45/15.79 parent0[0]: (57906) {G2,W10,D2,L2,V2,M2} { ! cyclic( skol27, skol27,
% 15.45/15.79 skol27, X ), cyclic( skol27, skol27, X, Y ) }.
% 15.45/15.79 parent1[0]: (50795) {G15,W5,D2,L1,V1,M1} R(50772,352) { cyclic( skol27,
% 15.45/15.79 skol27, skol27, X ) }.
% 15.45/15.79 substitution0:
% 15.45/15.79 X := X
% 15.45/15.79 Y := Y
% 15.45/15.79 end
% 15.45/15.79 substitution1:
% 15.45/15.79 X := X
% 15.45/15.79 end
% 15.45/15.79
% 15.45/15.79 subsumption: (50800) {G16,W5,D2,L1,V2,M1} R(50794,385);r(50795) { cyclic(
% 15.45/15.79 skol27, skol27, X, Y ) }.
% 15.45/15.79 parent0: (57907) {G3,W5,D2,L1,V2,M1} { cyclic( skol27, skol27, X, Y ) }.
% 15.45/15.79 substitution0:
% 15.45/15.79 X := X
% 15.45/15.79 Y := Y
% 15.45/15.79 end
% 15.45/15.79 permutation0:
% 15.45/15.79 0 ==> 0
% 15.45/15.79 end
% 15.45/15.79
% 15.45/15.79 resolution: (57908) {G2,W10,D2,L2,V3,M2} { cyclic( skol27, X, Y, Z ), !
% 15.45/15.79 cyclic( skol27, skol27, Z, X ) }.
% 15.45/15.79 parent0[0]: (385) {G1,W15,D2,L3,V5,M3} R(16,13) { ! cyclic( X, Y, Z, T ),
% 15.45/15.79 cyclic( Y, Z, T, U ), ! cyclic( X, Y, U, Z ) }.
% 15.45/15.79 parent1[0]: (50800) {G16,W5,D2,L1,V2,M1} R(50794,385);r(50795) { cyclic(
% 15.45/15.79 skol27, skol27, X, Y ) }.
% 15.45/15.79 substitution0:
% 15.45/15.79 X := skol27
% 15.45/15.79 Y := skol27
% 15.45/15.79 Z := X
% 15.45/15.79 T := Y
% 15.45/15.79 U := Z
% 15.45/15.79 end
% 15.45/15.79 substitution1:
% 15.45/15.79 X := X
% 15.45/15.79 Y := Y
% 15.45/15.79 end
% 15.45/15.79
% 15.45/15.79 resolution: (57910) {G3,W5,D2,L1,V3,M1} { cyclic( skol27, X, Y, Z ) }.
% 15.45/15.79 parent0[1]: (57908) {G2,W10,D2,L2,V3,M2} { cyclic( skol27, X, Y, Z ), !
% 15.45/15.79 cyclic( skol27, skol27, Z, X ) }.
% 15.45/15.79 parent1[0]: (50800) {G16,W5,D2,L1,V2,M1} R(50794,385);r(50795) { cyclic(
% 15.45/15.79 skol27, skol27, X, Y ) }.
% 15.45/15.79 substitution0:
% 15.45/15.79 X := X
% 15.45/15.79 Y := Y
% 15.45/15.79 Z := Z
% 15.45/15.79 end
% 15.45/15.79 substitution1:
% 15.45/15.79 X := Z
% 15.45/15.79 Y := X
% 15.45/15.79 end
% 15.45/15.79
% 15.45/15.79 subsumption: (50822) {G17,W5,D2,L1,V3,M1} R(50800,385);r(50800) { cyclic(
% 15.45/15.79 skol27, X, Y, Z ) }.
% 15.45/15.79 parent0: (57910) {G3,W5,D2,L1,V3,M1} { cyclic( skol27, X, Y, Z ) }.
% 15.45/15.79 substitution0:
% 15.45/15.79 X := X
% 15.45/15.79 Y := Y
% 15.45/15.79 Z := Z
% 15.45/15.79 end
% 15.45/15.79 permutation0:
% 15.45/15.79 0 ==> 0
% 15.45/15.79 end
% 15.45/15.79
% 15.45/15.79 resolution: (57911) {G2,W10,D2,L2,V4,M2} { cyclic( X, Y, Z, T ), ! cyclic
% 15.45/15.79 ( skol27, X, T, Y ) }.
% 15.45/15.79 parent0[0]: (385) {G1,W15,D2,L3,V5,M3} R(16,13) { ! cyclic( X, Y, Z, T ),
% 15.45/15.79 cyclic( Y, Z, T, U ), ! cyclic( X, Y, U, Z ) }.
% 15.45/15.79 parent1[0]: (50822) {G17,W5,D2,L1,V3,M1} R(50800,385);r(50800) { cyclic(
% 15.45/15.79 skol27, X, Y, Z ) }.
% 15.45/15.79 substitution0:
% 15.45/15.79 X := skol27
% 15.45/15.79 Y := X
% 15.45/15.79 Z := Y
% 15.45/15.79 T := Z
% 15.45/15.79 U := T
% 15.45/15.79 end
% 15.45/15.79 substitution1:
% 15.45/15.79 X := X
% 15.45/15.79 Y := Y
% 15.45/15.79 Z := Z
% 15.45/15.79 end
% 15.45/15.79
% 15.45/15.79 resolution: (57913) {G3,W5,D2,L1,V4,M1} { cyclic( X, Y, Z, T ) }.
% 15.45/15.79 parent0[1]: (57911) {G2,W10,D2,L2,V4,M2} { cyclic( X, Y, Z, T ), ! cyclic
% 15.45/15.79 ( skol27, X, T, Y ) }.
% 15.45/15.79 parent1[0]: (50822) {G17,W5,D2,L1,V3,M1} R(50800,385);r(50800) { cyclic(
% 15.45/15.79 skol27, X, Y, Z ) }.
% 15.45/15.79 substitution0:
% 15.45/15.79 X := X
% 15.45/15.79 Y := Y
% 15.45/15.79 Z := Z
% 15.45/15.79 T := T
% 15.45/15.79 end
% 15.45/15.79 substitution1:
% 15.45/15.79 X := X
% 15.45/15.79 Y := T
% 15.45/15.79 Z := Y
% 15.45/15.79 end
% 15.45/15.79
% 15.45/15.79 subsumption: (50841) {G18,W5,D2,L1,V4,M1} R(50822,385);r(50822) { cyclic( X
% 15.45/15.79 , Y, Z, T ) }.
% 15.45/15.79 parent0: (57913) {G3,W5,D2,L1,V4,M1} { cyclic( X, Y, Z, T ) }.
% 15.45/15.79 substitution0:
% 15.45/15.79 X := X
% 15.45/15.79 Y := Y
% 15.45/15.79 Z := Z
% 15.45/15.79 T := T
% 15.45/15.79 end
% 15.45/15.79 permutation0:
% 15.45/15.79 0 ==> 0
% 15.45/15.79 end
% 15.45/15.79
% 15.45/15.79 resolution: (57916) {G3,W10,D2,L2,V3,M2} { ! cyclic( X, Y, Z, Y ), cong( X
% 15.45/15.79 , Y, X, Y ) }.
% 15.45/15.79 parent0[0]: (967) {G2,W15,D2,L3,V3,M3} F(935) { ! cyclic( X, Y, Z, X ), !
% 15.45/15.79 cyclic( X, Y, Z, Y ), cong( X, Y, X, Y ) }.
% 15.45/15.79 parent1[0]: (50841) {G18,W5,D2,L1,V4,M1} R(50822,385);r(50822) { cyclic( X
% 15.45/15.79 , Y, Z, T ) }.
% 15.45/15.79 substitution0:
% 15.45/15.79 X := X
% 15.45/15.79 Y := Y
% 15.45/15.79 Z := Z
% 15.45/15.79 end
% 15.45/15.79 substitution1:
% 15.45/15.79 X := X
% 15.45/15.79 Y := Y
% 15.45/15.79 Z := Z
% 15.45/15.79 T := X
% 15.45/15.79 end
% 15.45/15.79
% 15.45/15.79 resolution: (57918) {G4,W5,D2,L1,V2,M1} { cong( X, Y, X, Y ) }.
% 15.45/15.79 parent0[0]: (57916) {G3,W10,D2,L2,V3,M2} { ! cyclic( X, Y, Z, Y ), cong( X
% 15.45/15.79 , Y, X, Y ) }.
% 15.45/15.79 parent1[0]: (50841) {G18,W5,D2,L1,V4,M1} R(50822,385);r(50822) { cyclic( X
% 15.45/15.79 , Y, Z, T ) }.
% 15.45/15.79 substitution0:
% 15.45/15.79 X := X
% 15.45/15.79 Y := Y
% 15.45/15.79 Z := Z
% 15.45/15.79 end
% 15.45/15.79 substitution1:
% 15.45/15.79 X := X
% 15.45/15.79 Y := Y
% 15.45/15.79 Z := Z
% 15.45/15.79 T := Y
% 15.45/15.79 end
% 15.45/15.79
% 15.45/15.79 subsumption: (57185) {G19,W5,D2,L1,V2,M1} S(967);r(50841);r(50841) { cong(
% 15.45/15.79 X, Y, X, Y ) }.
% 15.45/15.79 parent0: (57918) {G4,W5,D2,L1,V2,M1} { cong( X, Y, X, Y ) }.
% 15.45/15.79 substitution0:
% 15.45/15.79 X := X
% 15.45/15.79 Y := Y
% 15.45/15.79 end
% 15.45/15.79 permutation0:
% 15.45/15.79 0 ==> 0
% 15.45/15.79 end
% 15.45/15.79
% 15.45/15.79 resolution: (57919) {G1,W10,D2,L2,V3,M2} { ! cong( X, Z, X, Z ), perp( X,
% 15.45/15.79 X, Y, Z ) }.
% 15.45/15.79 parent0[0]: (56) {G0,W15,D2,L3,V4,M3} I { ! cong( X, Z, Y, Z ), ! cong( X,
% 15.45/15.79 T, Y, T ), perp( X, Y, Z, T ) }.
% 15.45/15.79 parent1[0]: (57185) {G19,W5,D2,L1,V2,M1} S(967);r(50841);r(50841) { cong( X
% 15.45/15.79 , Y, X, Y ) }.
% 15.45/15.79 substitution0:
% 15.45/15.79 X := X
% 15.45/15.79 Y := X
% 15.45/15.79 Z := Y
% 15.45/15.79 T := Z
% 15.45/15.79 end
% 15.45/15.79 substitution1:
% 15.45/15.79 X := X
% 15.45/15.79 Y := Y
% 15.45/15.79 end
% 15.45/15.79
% 15.45/15.79 resolution: (57921) {G2,W5,D2,L1,V3,M1} { perp( X, X, Z, Y ) }.
% 15.45/15.79 parent0[0]: (57919) {G1,W10,D2,L2,V3,M2} { ! cong( X, Z, X, Z ), perp( X,
% 15.45/15.79 X, Y, Z ) }.
% 15.45/15.79 parent1[0]: (57185) {G19,W5,D2,L1,V2,M1} S(967);r(50841);r(50841) { cong( X
% 15.45/15.79 , Y, X, Y ) }.
% 15.45/15.79 substitution0:
% 15.45/15.79 X := X
% 15.45/15.79 Y := Z
% 15.45/15.79 Z := Y
% 15.45/15.79 end
% 15.45/15.79 substitution1:
% 15.45/15.79 X := X
% 15.45/15.79 Y := Y
% 15.45/15.79 end
% 15.45/15.79
% 15.45/15.79 subsumption: (57202) {G20,W5,D2,L1,V3,M1} R(57185,56);r(57185) { perp( X, X
% 15.45/15.79 , Z, Y ) }.
% 15.45/15.79 parent0: (57921) {G2,W5,D2,L1,V3,M1} { perp( X, X, Z, Y ) }.
% 15.45/15.79 substitution0:
% 15.45/15.79 X := X
% 15.45/15.79 Y := Y
% 15.45/15.79 Z := Z
% 15.45/15.79 end
% 15.45/15.79 permutation0:
% 15.45/15.79 0 ==> 0
% 15.45/15.79 end
% 15.45/15.79
% 15.45/15.79 resolution: (57922) {G2,W10,D2,L2,V5,M2} { para( T, U, Y, Z ), ! perp( X,
% 15.45/15.79 X, T, U ) }.
% 15.45/15.79 parent0[0]: (284) {G1,W15,D2,L3,V6,M3} R(8,7) { ! perp( X, Y, Z, T ), para
% 15.45/15.79 ( U, W, Z, T ), ! perp( X, Y, U, W ) }.
% 15.45/15.79 parent1[0]: (57202) {G20,W5,D2,L1,V3,M1} R(57185,56);r(57185) { perp( X, X
% 15.45/15.79 , Z, Y ) }.
% 15.45/15.79 substitution0:
% 15.45/15.79 X := X
% 15.45/15.79 Y := X
% 15.45/15.79 Z := Y
% 15.45/15.79 T := Z
% 15.45/15.79 U := T
% 15.45/15.79 W := U
% 15.45/15.79 end
% 15.45/15.79 substitution1:
% 15.45/15.79 X := X
% 15.45/15.79 Y := Z
% 15.45/15.79 Z := Y
% 15.45/15.79 end
% 15.45/15.79
% 15.45/15.79 resolution: (57924) {G3,W5,D2,L1,V4,M1} { para( X, Y, Z, T ) }.
% 15.45/15.79 parent0[1]: (57922) {G2,W10,D2,L2,V5,M2} { para( T, U, Y, Z ), ! perp( X,
% 15.45/15.79 X, T, U ) }.
% 15.45/15.79 parent1[0]: (57202) {G20,W5,D2,L1,V3,M1} R(57185,56);r(57185) { perp( X, X
% 15.45/15.79 , Z, Y ) }.
% 15.45/15.79 substitution0:
% 15.45/15.79 X := U
% 15.45/15.79 Y := Z
% 15.45/15.79 Z := T
% 15.45/15.79 T := X
% 15.45/15.79 U := Y
% 15.45/15.79 end
% 15.45/15.79 substitution1:
% 15.45/15.79 X := U
% 15.45/15.79 Y := Y
% 15.45/15.79 Z := X
% 15.45/15.79 end
% 15.45/15.79
% 15.45/15.79 subsumption: (57235) {G21,W5,D2,L1,V4,M1} R(57202,284);r(57202) { para( X,
% 15.45/15.79 Y, Z, T ) }.
% 15.45/15.79 parent0: (57924) {G3,W5,D2,L1,V4,M1} { para( X, Y, Z, T ) }.
% 15.45/15.79 substitution0:
% 15.45/15.79 X := X
% 15.45/15.79 Y := Y
% 15.45/15.79 Z := Z
% 15.45/15.79 T := T
% 15.45/15.79 end
% 15.45/15.79 permutation0:
% 15.45/15.79 0 ==> 0
% 15.45/15.79 end
% 15.45/15.79
% 15.45/15.79 resolution: (57925) {G1,W10,D2,L2,V5,M2} { ! para( X, Y, Z, Z ), perp( X,
% 15.45/15.79 Y, T, U ) }.
% 15.45/15.79 parent0[1]: (9) {G0,W15,D2,L3,V6,M3} I { ! para( X, Y, U, W ), ! perp( U, W
% 15.45/15.79 , Z, T ), perp( X, Y, Z, T ) }.
% 15.45/15.79 parent1[0]: (57202) {G20,W5,D2,L1,V3,M1} R(57185,56);r(57185) { perp( X, X
% 15.45/15.79 , Z, Y ) }.
% 15.45/15.79 substitution0:
% 15.45/15.79 X := X
% 15.45/15.79 Y := Y
% 15.45/15.79 Z := T
% 15.45/15.79 T := U
% 15.45/15.79 U := Z
% 15.45/15.79 W := Z
% 15.45/15.79 end
% 15.45/15.79 substitution1:
% 15.45/15.79 X := Z
% 15.45/15.79 Y := U
% 15.45/15.79 Z := T
% 15.45/15.79 end
% 15.45/15.79
% 15.45/15.79 resolution: (57926) {G2,W5,D2,L1,V4,M1} { perp( X, Y, T, U ) }.
% 15.45/15.79 parent0[0]: (57925) {G1,W10,D2,L2,V5,M2} { ! para( X, Y, Z, Z ), perp( X,
% 15.45/15.79 Y, T, U ) }.
% 15.45/15.79 parent1[0]: (57235) {G21,W5,D2,L1,V4,M1} R(57202,284);r(57202) { para( X, Y
% 15.45/15.79 , Z, T ) }.
% 15.45/15.79 substitution0:
% 15.45/15.79 X := X
% 15.45/15.79 Y := Y
% 15.45/15.79 Z := Z
% 15.45/15.79 T := T
% 15.45/15.79 U := U
% 15.45/15.79 end
% 15.45/15.79 substitution1:
% 15.45/15.79 X := X
% 15.45/15.79 Y := Y
% 15.45/15.79 Z := Z
% 15.45/15.79 T := Z
% 15.45/15.79 end
% 15.45/15.79
% 15.45/15.79 subsumption: (57257) {G22,W5,D2,L1,V4,M1} R(57202,9);r(57235) { perp( X, Y
% 15.45/15.79 , T, U ) }.
% 15.45/15.79 parent0: (57926) {G2,W5,D2,L1,V4,M1} { perp( X, Y, T, U ) }.
% 15.45/15.79 substitution0:
% 15.45/15.79 X := X
% 15.45/15.79 Y := Y
% 15.45/15.79 Z := W
% 15.45/15.79 T := T
% 15.45/15.79 U := U
% 15.45/15.79 end
% 15.45/15.79 permutation0:
% 15.45/15.79 0 ==> 0
% 15.45/15.79 end
% 15.45/15.79
% 15.45/15.79 resolution: (57927) {G3,W5,D2,L1,V2,M1} { ! perp( X, Y, skol22, skol20 )
% 15.45/15.79 }.
% 15.45/15.79 parent0[0]: (524) {G2,W10,D2,L2,V2,M2} R(265,9) { ! para( skol24, skol23, X
% 15.45/15.79 , Y ), ! perp( X, Y, skol22, skol20 ) }.
% 15.45/15.79 parent1[0]: (57235) {G21,W5,D2,L1,V4,M1} R(57202,284);r(57202) { para( X, Y
% 15.45/15.79 , Z, T ) }.
% 15.45/15.79 substitution0:
% 15.45/15.79 X := X
% 15.45/15.79 Y := Y
% 15.45/15.79 end
% 15.45/15.79 substitution1:
% 15.45/15.79 X := skol24
% 15.45/15.79 Y := skol23
% 15.45/15.79 Z := X
% 15.45/15.79 T := Y
% 15.45/15.79 end
% 15.45/15.79
% 15.45/15.79 resolution: (57928) {G4,W0,D0,L0,V0,M0} { }.
% 15.45/15.79 parent0[0]: (57927) {G3,W5,D2,L1,V2,M1} { ! perp( X, Y, skol22, skol20 )
% 15.45/15.79 }.
% 15.45/15.79 parent1[0]: (57257) {G22,W5,D2,L1,V4,M1} R(57202,9);r(57235) { perp( X, Y,
% 15.45/15.79 T, U ) }.
% 15.45/15.79 substitution0:
% 15.45/15.79 X := X
% 15.45/15.79 Y := Y
% 15.45/15.79 end
% 15.45/15.79 substitution1:
% 15.45/15.79 X := X
% 15.45/15.79 Y := Y
% 15.45/15.79 Z := Z
% 15.45/15.79 T := skol22
% 15.45/15.79 U := skol20
% 15.45/15.79 end
% 15.45/15.79
% 15.45/15.79 subsumption: (57384) {G23,W0,D0,L0,V0,M0} R(57235,524);r(57257) { }.
% 15.45/15.79 parent0: (57928) {G4,W0,D0,L0,V0,M0} { }.
% 15.45/15.79 substitution0:
% 15.45/15.79 end
% 15.45/15.79 permutation0:
% 15.45/15.79 end
% 15.45/15.79
% 15.45/15.79 Proof check complete!
% 15.45/15.79
% 15.45/15.79 Memory use:
% 15.45/15.79
% 15.45/15.79 space for terms: 793428
% 15.45/15.79 space for clauses: 2441883
% 15.45/15.79
% 15.45/15.79
% 15.45/15.79 clauses generated: 485464
% 15.45/15.79 clauses kept: 57385
% 15.45/15.79 clauses selected: 3095
% 15.45/15.79 clauses deleted: 5803
% 15.45/15.79 clauses inuse deleted: 204
% 15.45/15.79
% 15.45/15.79 subsentry: 25163772
% 15.45/15.79 literals s-matched: 13295495
% 15.45/15.79 literals matched: 7490953
% 15.45/15.79 full subsumption: 2088775
% 15.45/15.79
% 15.45/15.79 checksum: -9487965
% 15.45/15.79
% 15.45/15.79
% 15.45/15.79 Bliksem ended
%------------------------------------------------------------------------------