TSTP Solution File: GEO561+1 by Bliksem---1.12
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : GEO561+1 : TPTP v8.1.0. Released v7.5.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n004.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 02:54:44 EDT 2022
% Result : Theorem 15.43s 15.84s
% Output : Refutation 15.43s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.13 % Problem : GEO561+1 : TPTP v8.1.0. Released v7.5.0.
% 0.03/0.14 % Command : bliksem %s
% 0.13/0.35 % Computer : n004.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % DateTime : Fri Jun 17 23:08:08 EDT 2022
% 0.13/0.35 % CPUTime :
% 0.76/1.19 *** allocated 10000 integers for termspace/termends
% 0.76/1.19 *** allocated 10000 integers for clauses
% 0.76/1.19 *** allocated 10000 integers for justifications
% 0.76/1.19 Bliksem 1.12
% 0.76/1.19
% 0.76/1.19
% 0.76/1.19 Automatic Strategy Selection
% 0.76/1.19
% 0.76/1.19 *** allocated 15000 integers for termspace/termends
% 0.76/1.19
% 0.76/1.19 Clauses:
% 0.76/1.19
% 0.76/1.19 { ! coll( X, Y, Z ), coll( X, Z, Y ) }.
% 0.76/1.19 { ! coll( X, Y, Z ), coll( Y, X, Z ) }.
% 0.76/1.19 { ! coll( X, T, Y ), ! coll( X, T, Z ), coll( Y, Z, X ) }.
% 0.76/1.19 { ! para( X, Y, Z, T ), para( X, Y, T, Z ) }.
% 0.76/1.19 { ! para( X, Y, Z, T ), para( Z, T, X, Y ) }.
% 0.76/1.19 { ! para( X, Y, U, W ), ! para( U, W, Z, T ), para( X, Y, Z, T ) }.
% 0.76/1.19 { ! perp( X, Y, Z, T ), perp( X, Y, T, Z ) }.
% 0.76/1.19 { ! perp( X, Y, Z, T ), perp( Z, T, X, Y ) }.
% 0.76/1.19 { ! perp( X, Y, U, W ), ! perp( U, W, Z, T ), para( X, Y, Z, T ) }.
% 0.76/1.19 { ! para( X, Y, U, W ), ! perp( U, W, Z, T ), perp( X, Y, Z, T ) }.
% 0.76/1.19 { ! midp( Z, Y, X ), midp( Z, X, Y ) }.
% 0.76/1.19 { ! cong( T, X, T, Y ), ! cong( T, X, T, Z ), circle( T, X, Y, Z ) }.
% 0.76/1.19 { ! cong( U, X, U, Y ), ! cong( U, X, U, Z ), ! cong( U, X, U, T ), cyclic
% 0.76/1.19 ( X, Y, Z, T ) }.
% 0.76/1.19 { ! cyclic( X, Y, Z, T ), cyclic( X, Y, T, Z ) }.
% 0.76/1.19 { ! cyclic( X, Y, Z, T ), cyclic( X, Z, Y, T ) }.
% 0.76/1.19 { ! cyclic( X, Y, Z, T ), cyclic( Y, X, Z, T ) }.
% 0.76/1.19 { ! cyclic( U, X, Y, Z ), ! cyclic( U, X, Y, T ), cyclic( X, Y, Z, T ) }.
% 0.76/1.19 { ! eqangle( X, Y, Z, T, U, W, V0, V1 ), eqangle( Y, X, Z, T, U, W, V0, V1
% 0.76/1.19 ) }.
% 0.76/1.19 { ! eqangle( X, Y, Z, T, U, W, V0, V1 ), eqangle( Z, T, X, Y, V0, V1, U, W
% 0.76/1.19 ) }.
% 0.76/1.19 { ! eqangle( X, Y, Z, T, U, W, V0, V1 ), eqangle( U, W, V0, V1, X, Y, Z, T
% 0.76/1.19 ) }.
% 0.76/1.19 { ! eqangle( X, Y, Z, T, U, W, V0, V1 ), eqangle( X, Y, U, W, Z, T, V0, V1
% 0.76/1.19 ) }.
% 0.76/1.19 { ! eqangle( X, Y, Z, T, V2, V3, V4, V5 ), ! eqangle( V2, V3, V4, V5, U, W
% 0.76/1.19 , V0, V1 ), eqangle( X, Y, Z, T, U, W, V0, V1 ) }.
% 0.76/1.19 { ! cong( X, Y, Z, T ), cong( X, Y, T, Z ) }.
% 0.76/1.19 { ! cong( X, Y, Z, T ), cong( Z, T, X, Y ) }.
% 0.76/1.19 { ! cong( X, Y, U, W ), ! cong( U, W, Z, T ), cong( X, Y, Z, T ) }.
% 0.76/1.19 { ! eqratio( X, Y, Z, T, U, W, V0, V1 ), eqratio( Y, X, Z, T, U, W, V0, V1
% 0.76/1.19 ) }.
% 0.76/1.19 { ! eqratio( X, Y, Z, T, U, W, V0, V1 ), eqratio( Z, T, X, Y, V0, V1, U, W
% 0.76/1.19 ) }.
% 0.76/1.19 { ! eqratio( X, Y, Z, T, U, W, V0, V1 ), eqratio( U, W, V0, V1, X, Y, Z, T
% 0.76/1.19 ) }.
% 0.76/1.19 { ! eqratio( X, Y, Z, T, U, W, V0, V1 ), eqratio( X, Y, U, W, Z, T, V0, V1
% 0.76/1.19 ) }.
% 0.76/1.19 { ! eqratio( X, Y, Z, T, V2, V3, V4, V5 ), ! eqratio( V2, V3, V4, V5, U, W
% 0.76/1.19 , V0, V1 ), eqratio( X, Y, Z, T, U, W, V0, V1 ) }.
% 0.76/1.19 { ! simtri( X, Z, Y, T, W, U ), simtri( X, Y, Z, T, U, W ) }.
% 0.76/1.19 { ! simtri( Y, X, Z, U, T, W ), simtri( X, Y, Z, T, U, W ) }.
% 0.76/1.19 { ! simtri( T, U, W, X, Y, Z ), simtri( X, Y, Z, T, U, W ) }.
% 0.76/1.19 { ! simtri( X, Y, Z, V0, V1, V2 ), ! simtri( V0, V1, V2, T, U, W ), simtri
% 0.76/1.19 ( X, Y, Z, T, U, W ) }.
% 0.76/1.19 { ! contri( X, Z, Y, T, W, U ), contri( X, Y, Z, T, U, W ) }.
% 0.76/1.19 { ! contri( Y, X, Z, U, T, W ), contri( X, Y, Z, T, U, W ) }.
% 0.76/1.19 { ! contri( T, U, W, X, Y, Z ), contri( X, Y, Z, T, U, W ) }.
% 0.76/1.19 { ! contri( X, Y, Z, V0, V1, V2 ), ! contri( V0, V1, V2, T, U, W ), contri
% 0.76/1.19 ( X, Y, Z, T, U, W ) }.
% 0.76/1.19 { ! eqangle( X, Y, U, W, Z, T, U, W ), para( X, Y, Z, T ) }.
% 0.76/1.19 { ! para( X, Y, Z, T ), eqangle( X, Y, U, W, Z, T, U, W ) }.
% 0.76/1.19 { ! cyclic( X, Y, Z, T ), eqangle( Z, X, Z, Y, T, X, T, Y ) }.
% 0.76/1.19 { ! eqangle( Z, X, Z, Y, T, X, T, Y ), coll( Z, T, X ), cyclic( X, Y, Z, T
% 0.76/1.19 ) }.
% 0.76/1.19 { ! eqangle( Z, X, Z, Y, T, X, T, Y ), ! coll( Z, T, Y ), cyclic( X, Y, Z,
% 0.76/1.19 T ) }.
% 0.76/1.19 { ! cyclic( X, Y, U, Z ), ! cyclic( X, Y, U, T ), ! cyclic( X, Y, U, W ), !
% 0.76/1.19 eqangle( U, X, U, Y, W, Z, W, T ), cong( X, Y, Z, T ) }.
% 0.76/1.19 { ! midp( Z, U, X ), ! midp( T, U, Y ), para( Z, T, X, Y ) }.
% 0.76/1.19 { ! midp( U, X, T ), ! para( U, Z, T, Y ), ! coll( Z, X, Y ), midp( Z, X, Y
% 0.76/1.19 ) }.
% 0.76/1.19 { ! cong( Z, X, Z, Y ), eqangle( Z, X, X, Y, X, Y, Z, Y ) }.
% 0.76/1.19 { ! eqangle( Z, X, X, Y, X, Y, Z, Y ), coll( Z, X, Y ), cong( Z, X, Z, Y )
% 0.76/1.19 }.
% 0.76/1.19 { ! circle( U, X, Y, Z ), ! perp( U, X, X, T ), eqangle( X, T, X, Y, Z, X,
% 0.76/1.19 Z, Y ) }.
% 0.76/1.19 { ! circle( Y, X, T, U ), ! eqangle( X, Z, X, T, U, X, U, T ), perp( Y, X,
% 0.76/1.19 X, Z ) }.
% 0.76/1.19 { ! circle( T, X, Y, Z ), ! midp( U, Y, Z ), eqangle( X, Y, X, Z, T, Y, T,
% 0.76/1.19 U ) }.
% 0.76/1.19 { ! circle( U, T, X, Y ), ! coll( Z, X, Y ), ! eqangle( T, X, T, Y, U, X, U
% 0.76/1.19 , Z ), midp( Z, X, Y ) }.
% 0.76/1.19 { ! perp( X, Y, Y, T ), ! midp( Z, X, T ), cong( X, Z, Y, Z ) }.
% 0.76/1.19 { ! circle( T, X, Y, Z ), ! coll( T, X, Z ), perp( X, Y, Y, Z ) }.
% 0.76/1.19 { ! cyclic( X, Y, Z, T ), ! para( X, Y, Z, T ), eqangle( X, T, Z, T, Z, T,
% 0.76/1.19 Z, Y ) }.
% 0.76/1.19 { ! midp( T, X, Y ), ! perp( Z, T, X, Y ), cong( Z, X, Z, Y ) }.
% 0.76/1.19 { ! cong( X, Z, Y, Z ), ! cong( X, T, Y, T ), perp( X, Y, Z, T ) }.
% 0.76/1.19 { ! cong( X, Y, T, Y ), ! cong( X, Z, T, Z ), ! cyclic( X, T, Y, Z ), perp
% 0.76/1.19 ( Y, X, X, Z ) }.
% 0.76/1.19 { ! eqangle( X, Y, Y, Z, T, U, U, W ), ! eqangle( X, Z, Y, Z, T, W, U, W )
% 0.76/1.19 , coll( X, Y, Z ), simtri( X, Y, Z, T, U, W ) }.
% 0.76/1.19 { ! simtri( X, Y, Z, T, U, W ), eqratio( X, Y, X, Z, T, U, T, W ) }.
% 0.76/1.19 { ! simtri( X, Y, Z, T, U, W ), eqangle( X, Y, Y, Z, T, U, U, W ) }.
% 0.76/1.19 { ! simtri( X, Y, Z, T, U, W ), ! cong( X, Y, T, U ), contri( X, Y, Z, T, U
% 0.76/1.19 , W ) }.
% 0.76/1.19 { ! contri( X, Y, U, Z, T, W ), cong( X, Y, Z, T ) }.
% 0.76/1.19 { ! midp( U, X, Y ), ! midp( U, Z, T ), para( X, Z, Y, T ) }.
% 0.76/1.19 { ! midp( Z, T, U ), ! para( T, X, U, Y ), ! para( T, Y, U, X ), midp( Z, X
% 0.76/1.19 , Y ) }.
% 0.76/1.19 { ! para( X, Y, Z, T ), ! coll( U, X, Z ), ! coll( U, Y, T ), eqratio( U, X
% 0.76/1.19 , X, Z, U, Y, Y, T ) }.
% 0.76/1.19 { ! para( X, Y, X, Z ), coll( X, Y, Z ) }.
% 0.76/1.19 { ! cong( X, Y, X, Z ), ! coll( X, Y, Z ), midp( X, Y, Z ) }.
% 0.76/1.19 { ! midp( X, Y, Z ), cong( X, Y, X, Z ) }.
% 0.76/1.19 { ! midp( X, Y, Z ), coll( X, Y, Z ) }.
% 0.76/1.19 { ! midp( U, X, Y ), ! midp( W, Z, T ), eqratio( U, X, X, Y, W, Z, Z, T ) }
% 0.76/1.19 .
% 0.76/1.19 { ! eqangle( X, Y, Z, T, Z, T, X, Y ), para( X, Y, Z, T ), perp( X, Y, Z, T
% 0.76/1.19 ) }.
% 0.76/1.19 { ! eqangle( X, Y, Z, T, Z, T, X, Y ), perp( X, Y, Z, T ), para( X, Y, Z, T
% 0.76/1.19 ) }.
% 0.76/1.19 { ! eqangle( X, Y, Z, T, U, W, V0, V1 ), ! para( U, W, V0, V1 ), para( X, Y
% 0.76/1.19 , Z, T ) }.
% 0.76/1.19 { ! eqangle( X, Y, Z, T, U, W, V0, V1 ), ! perp( U, W, V0, V1 ), perp( X, Y
% 0.76/1.19 , Z, T ) }.
% 0.76/1.19 { ! eqratio( X, Y, Z, T, U, W, V0, V1 ), ! cong( U, W, V0, V1 ), cong( X, Y
% 0.76/1.19 , Z, T ) }.
% 0.76/1.19 { ! perp( Z, Y, Y, X ), ! eqangle( T, Z, Y, Z, Y, Z, X, Z ), coll( skol1( U
% 0.76/1.19 , W, Z, T ), Z, T ) }.
% 0.76/1.19 { ! perp( Z, Y, Y, X ), ! eqangle( T, Z, Y, Z, Y, Z, X, Z ), coll( skol1( X
% 0.76/1.19 , Y, Z, T ), X, Y ) }.
% 0.76/1.19 { ! cong( Z, X, Z, Y ), ! eqangle( X, Z, Z, T, Z, T, Z, Y ), coll( skol2( U
% 0.76/1.19 , W, Z, T ), Z, T ) }.
% 0.76/1.19 { ! cong( Z, X, Z, Y ), ! eqangle( X, Z, Z, T, Z, T, Z, Y ), coll( Y, X,
% 0.76/1.19 skol2( X, Y, Z, T ) ) }.
% 0.76/1.19 { ! perp( Z, T, X, Y ), ! eqangle( X, Z, Z, T, Z, T, Z, Y ), coll( skol3( U
% 0.76/1.19 , W, Z, T ), Z, T ) }.
% 0.76/1.19 { ! perp( Z, T, X, Y ), ! eqangle( X, Z, Z, T, Z, T, Z, Y ), coll( Y, X,
% 0.76/1.19 skol3( X, Y, Z, T ) ) }.
% 0.76/1.19 { ! perp( Z, T, X, Y ), ! cong( Z, X, Z, Y ), coll( skol4( U, W, Z, T ), Z
% 0.76/1.19 , T ) }.
% 0.76/1.19 { ! perp( Z, T, X, Y ), ! cong( Z, X, Z, Y ), coll( Y, X, skol4( X, Y, Z, T
% 0.76/1.19 ) ) }.
% 0.76/1.19 { ! eqangle( X, Z, Y, Z, X, T, Y, U ), coll( X, Y, Z ), cyclic( T, Y, Z,
% 0.76/1.19 skol5( W, Y, Z, T ) ) }.
% 0.76/1.19 { ! eqangle( X, Z, Y, Z, X, T, Y, U ), coll( X, Y, Z ), eqangle( X, Z, Y, Z
% 0.76/1.19 , X, skol5( X, Y, Z, T ), Y, skol5( X, Y, Z, T ) ) }.
% 0.76/1.19 { ! midp( U, X, Y ), ! midp( W, Z, T ), midp( skol6( X, V0, V1, T, V2, V3 )
% 0.76/1.19 , X, T ) }.
% 0.76/1.19 { ! midp( U, X, Y ), ! midp( W, Z, T ), para( skol6( X, V0, Z, T, V1, W ),
% 0.76/1.19 W, X, Z ) }.
% 0.76/1.19 { ! midp( U, X, Y ), ! midp( W, Z, T ), para( skol6( X, Y, Z, T, U, W ), U
% 0.76/1.19 , Y, T ) }.
% 0.76/1.19 { ! midp( Z, X, Y ), ! midp( W, T, U ), ! coll( T, X, Y ), ! coll( U, X, Y
% 0.76/1.19 ), midp( skol7( X, V0 ), X, V0 ) }.
% 0.76/1.19 { ! midp( T, X, U ), ! para( X, W, Z, T ), ! para( X, W, U, Y ), ! coll( W
% 0.76/1.19 , Y, Z ), coll( skol8( V0, V1, Z, T ), T, Z ) }.
% 0.76/1.19 { ! midp( T, X, U ), ! para( X, W, Z, T ), ! para( X, W, U, Y ), ! coll( W
% 0.76/1.19 , Y, Z ), coll( skol8( X, Y, Z, T ), X, Y ) }.
% 0.76/1.19 { ! cong( T, Z, T, U ), ! perp( X, Y, Y, T ), cong( T, Z, T, skol9( W, V0,
% 0.76/1.19 Z, T ) ) }.
% 0.76/1.19 { ! cong( T, Z, T, U ), ! perp( X, Y, Y, T ), cong( Y, Z, Y, skol9( W, Y, Z
% 0.76/1.19 , T ) ) }.
% 0.76/1.19 { ! cong( T, Z, T, U ), ! perp( X, Y, Y, T ), para( skol9( X, Y, Z, T ), Z
% 0.76/1.19 , X, Y ) }.
% 0.76/1.19 { ! perp( X, T, Y, Z ), ! perp( Y, T, X, Z ), coll( skol10( U, Y, Z ), Z, Y
% 0.76/1.19 ) }.
% 0.76/1.19 { ! perp( X, T, Y, Z ), ! perp( Y, T, X, Z ), perp( X, skol10( X, Y, Z ), Z
% 0.76/1.19 , Y ) }.
% 0.76/1.19 { ! perp( X, T, Y, Z ), ! perp( Y, T, X, Z ), alpha1( X, Y, Z ) }.
% 0.76/1.19 { ! alpha1( X, Y, Z ), coll( skol11( X, T, Z ), Z, X ) }.
% 0.76/1.19 { ! alpha1( X, Y, Z ), perp( Y, skol11( X, Y, Z ), Z, X ) }.
% 0.76/1.19 { ! coll( T, Z, X ), ! perp( Y, T, Z, X ), alpha1( X, Y, Z ) }.
% 0.76/1.19 { ! circle( Y, X, Z, T ), perp( skol12( X, Y ), X, X, Y ) }.
% 3.08/3.45 { ! circle( W, X, Y, Z ), ! cong( W, X, W, T ), ! cong( U, X, U, Y ), W = U
% 3.08/3.45 , alpha2( X, Z, U, skol13( X, V0, Z, V1, U ) ) }.
% 3.08/3.45 { ! circle( W, X, Y, Z ), ! cong( W, X, W, T ), ! cong( U, X, U, Y ), W = U
% 3.08/3.45 , coll( skol21( V0, Y, T, V1 ), Y, T ) }.
% 3.08/3.45 { ! circle( W, X, Y, Z ), ! cong( W, X, W, T ), ! cong( U, X, U, Y ), W = U
% 3.08/3.45 , cong( skol21( X, Y, T, U ), U, U, X ) }.
% 3.08/3.45 { ! alpha2( X, Y, Z, T ), coll( T, X, Y ) }.
% 3.08/3.45 { ! alpha2( X, Y, Z, T ), cong( T, Z, Z, X ) }.
% 3.08/3.45 { ! coll( T, X, Y ), ! cong( T, Z, Z, X ), alpha2( X, Y, Z, T ) }.
% 3.08/3.45 { ! cyclic( X, Y, Z, T ), ! para( X, Y, Z, T ), ! midp( U, X, Y ), circle(
% 3.08/3.45 skol14( X, Y, Z ), X, Y, Z ) }.
% 3.08/3.45 { ! perp( X, Z, Z, Y ), ! cyclic( X, Y, Z, T ), circle( skol15( X, Y, Z ),
% 3.08/3.45 X, Y, Z ) }.
% 3.08/3.45 { ! perp( X, U, U, T ), ! coll( T, Y, Z ), coll( skol16( W, Y, Z ), Y, Z )
% 3.08/3.45 }.
% 3.08/3.45 { ! perp( X, U, U, T ), ! coll( T, Y, Z ), perp( skol16( X, Y, Z ), X, Y, Z
% 3.08/3.45 ) }.
% 3.08/3.45 { ! perp( X, Z, X, Y ), ! perp( Y, X, Y, T ), ! midp( U, Z, T ), midp(
% 3.08/3.45 skol17( X, Y ), X, Y ) }.
% 3.08/3.45 { ! cong( Y, X, Y, Z ), ! perp( X, Y, Y, Z ), coll( X, Y, skol18( X, Y ) )
% 3.08/3.45 }.
% 3.08/3.45 { ! cong( Y, X, Y, Z ), ! perp( X, Y, Y, Z ), cong( Y, X, Y, skol18( X, Y )
% 3.08/3.45 ) }.
% 3.08/3.45 { ! para( U, W, X, Y ), ! coll( Z, U, X ), ! coll( Z, W, Y ), ! coll( T, U
% 3.08/3.45 , W ), coll( Z, T, skol19( V0, V1, Z, T ) ) }.
% 3.08/3.45 { ! para( U, W, X, Y ), ! coll( Z, U, X ), ! coll( Z, W, Y ), ! coll( T, U
% 3.08/3.45 , W ), coll( skol19( X, Y, Z, T ), X, Y ) }.
% 3.08/3.45 { circle( skol26, skol20, skol24, skol25 ) }.
% 3.08/3.45 { perp( skol27, skol26, skol20, skol25 ) }.
% 3.08/3.45 { coll( skol27, skol20, skol25 ) }.
% 3.08/3.45 { perp( skol28, skol26, skol20, skol24 ) }.
% 3.08/3.45 { coll( skol28, skol20, skol24 ) }.
% 3.08/3.45 { coll( skol29, skol26, skol27 ) }.
% 3.08/3.45 { circle( skol26, skol20, skol29, skol30 ) }.
% 3.08/3.45 { coll( skol31, skol26, skol28 ) }.
% 3.08/3.45 { circle( skol26, skol20, skol31, skol32 ) }.
% 3.08/3.45 { coll( skol22, skol20, skol25 ) }.
% 3.08/3.45 { coll( skol22, skol29, skol31 ) }.
% 3.08/3.45 { coll( skol23, skol20, skol24 ) }.
% 3.08/3.45 { coll( skol23, skol29, skol31 ) }.
% 3.08/3.45 { ! eqangle( skol20, skol23, skol23, skol22, skol23, skol22, skol22, skol20
% 3.08/3.45 ) }.
% 3.08/3.45
% 3.08/3.45 percentage equality = 0.008621, percentage horn = 0.930769
% 3.08/3.45 This is a problem with some equality
% 3.08/3.45
% 3.08/3.45
% 3.08/3.45
% 3.08/3.45 Options Used:
% 3.08/3.45
% 3.08/3.45 useres = 1
% 3.08/3.45 useparamod = 1
% 3.08/3.45 useeqrefl = 1
% 3.08/3.45 useeqfact = 1
% 3.08/3.45 usefactor = 1
% 3.08/3.45 usesimpsplitting = 0
% 3.08/3.45 usesimpdemod = 5
% 3.08/3.45 usesimpres = 3
% 3.08/3.45
% 3.08/3.45 resimpinuse = 1000
% 3.08/3.45 resimpclauses = 20000
% 3.08/3.45 substype = eqrewr
% 3.08/3.45 backwardsubs = 1
% 3.08/3.45 selectoldest = 5
% 3.08/3.45
% 3.08/3.45 litorderings [0] = split
% 3.08/3.45 litorderings [1] = extend the termordering, first sorting on arguments
% 3.08/3.45
% 3.08/3.45 termordering = kbo
% 3.08/3.45
% 3.08/3.45 litapriori = 0
% 3.08/3.45 termapriori = 1
% 3.08/3.45 litaposteriori = 0
% 3.08/3.45 termaposteriori = 0
% 3.08/3.45 demodaposteriori = 0
% 3.08/3.45 ordereqreflfact = 0
% 3.08/3.45
% 3.08/3.45 litselect = negord
% 3.08/3.45
% 3.08/3.45 maxweight = 15
% 3.08/3.45 maxdepth = 30000
% 3.08/3.45 maxlength = 115
% 3.08/3.45 maxnrvars = 195
% 3.08/3.45 excuselevel = 1
% 3.08/3.45 increasemaxweight = 1
% 3.08/3.45
% 3.08/3.45 maxselected = 10000000
% 3.08/3.45 maxnrclauses = 10000000
% 3.08/3.45
% 3.08/3.45 showgenerated = 0
% 3.08/3.45 showkept = 0
% 3.08/3.45 showselected = 0
% 3.08/3.45 showdeleted = 0
% 3.08/3.45 showresimp = 1
% 3.08/3.45 showstatus = 2000
% 3.08/3.45
% 3.08/3.45 prologoutput = 0
% 3.08/3.45 nrgoals = 5000000
% 3.08/3.45 totalproof = 1
% 3.08/3.45
% 3.08/3.45 Symbols occurring in the translation:
% 3.08/3.45
% 3.08/3.45 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 3.08/3.45 . [1, 2] (w:1, o:43, a:1, s:1, b:0),
% 3.08/3.45 ! [4, 1] (w:0, o:38, a:1, s:1, b:0),
% 3.08/3.45 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 3.08/3.45 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 3.08/3.45 coll [38, 3] (w:1, o:71, a:1, s:1, b:0),
% 3.08/3.45 para [40, 4] (w:1, o:79, a:1, s:1, b:0),
% 3.08/3.45 perp [43, 4] (w:1, o:80, a:1, s:1, b:0),
% 3.08/3.45 midp [45, 3] (w:1, o:72, a:1, s:1, b:0),
% 3.08/3.45 cong [47, 4] (w:1, o:81, a:1, s:1, b:0),
% 3.08/3.45 circle [48, 4] (w:1, o:82, a:1, s:1, b:0),
% 3.08/3.45 cyclic [49, 4] (w:1, o:83, a:1, s:1, b:0),
% 3.08/3.45 eqangle [54, 8] (w:1, o:98, a:1, s:1, b:0),
% 3.08/3.45 eqratio [57, 8] (w:1, o:99, a:1, s:1, b:0),
% 3.08/3.45 simtri [59, 6] (w:1, o:95, a:1, s:1, b:0),
% 3.08/3.45 contri [60, 6] (w:1, o:96, a:1, s:1, b:0),
% 3.08/3.45 alpha1 [66, 3] (w:1, o:73, a:1, s:1, b:1),
% 3.08/3.45 alpha2 [67, 4] (w:1, o:84, a:1, s:1, b:1),
% 3.08/3.45 skol1 [68, 4] (w:1, o:85, a:1, s:1, b:1),
% 3.08/3.45 skol2 [69, 4] (w:1, o:87, a:1, s:1, b:1),
% 15.43/15.84 skol3 [70, 4] (w:1, o:89, a:1, s:1, b:1),
% 15.43/15.84 skol4 [71, 4] (w:1, o:90, a:1, s:1, b:1),
% 15.43/15.84 skol5 [72, 4] (w:1, o:91, a:1, s:1, b:1),
% 15.43/15.84 skol6 [73, 6] (w:1, o:97, a:1, s:1, b:1),
% 15.43/15.84 skol7 [74, 2] (w:1, o:67, a:1, s:1, b:1),
% 15.43/15.84 skol8 [75, 4] (w:1, o:92, a:1, s:1, b:1),
% 15.43/15.84 skol9 [76, 4] (w:1, o:93, a:1, s:1, b:1),
% 15.43/15.84 skol10 [77, 3] (w:1, o:74, a:1, s:1, b:1),
% 15.43/15.84 skol11 [78, 3] (w:1, o:75, a:1, s:1, b:1),
% 15.43/15.84 skol12 [79, 2] (w:1, o:68, a:1, s:1, b:1),
% 15.43/15.84 skol13 [80, 5] (w:1, o:94, a:1, s:1, b:1),
% 15.43/15.84 skol14 [81, 3] (w:1, o:76, a:1, s:1, b:1),
% 15.43/15.84 skol15 [82, 3] (w:1, o:77, a:1, s:1, b:1),
% 15.43/15.84 skol16 [83, 3] (w:1, o:78, a:1, s:1, b:1),
% 15.43/15.84 skol17 [84, 2] (w:1, o:69, a:1, s:1, b:1),
% 15.43/15.84 skol18 [85, 2] (w:1, o:70, a:1, s:1, b:1),
% 15.43/15.84 skol19 [86, 4] (w:1, o:86, a:1, s:1, b:1),
% 15.43/15.84 skol20 [87, 0] (w:1, o:26, a:1, s:1, b:1),
% 15.43/15.84 skol21 [88, 4] (w:1, o:88, a:1, s:1, b:1),
% 15.43/15.84 skol22 [89, 0] (w:1, o:27, a:1, s:1, b:1),
% 15.43/15.84 skol23 [90, 0] (w:1, o:28, a:1, s:1, b:1),
% 15.43/15.84 skol24 [91, 0] (w:1, o:29, a:1, s:1, b:1),
% 15.43/15.84 skol25 [92, 0] (w:1, o:30, a:1, s:1, b:1),
% 15.43/15.84 skol26 [93, 0] (w:1, o:31, a:1, s:1, b:1),
% 15.43/15.84 skol27 [94, 0] (w:1, o:32, a:1, s:1, b:1),
% 15.43/15.84 skol28 [95, 0] (w:1, o:33, a:1, s:1, b:1),
% 15.43/15.84 skol29 [96, 0] (w:1, o:34, a:1, s:1, b:1),
% 15.43/15.84 skol30 [97, 0] (w:1, o:35, a:1, s:1, b:1),
% 15.43/15.84 skol31 [98, 0] (w:1, o:36, a:1, s:1, b:1),
% 15.43/15.84 skol32 [99, 0] (w:1, o:37, a:1, s:1, b:1).
% 15.43/15.84
% 15.43/15.84
% 15.43/15.84 Starting Search:
% 15.43/15.84
% 15.43/15.84 *** allocated 15000 integers for clauses
% 15.43/15.84 *** allocated 22500 integers for clauses
% 15.43/15.84 *** allocated 33750 integers for clauses
% 15.43/15.84 *** allocated 50625 integers for clauses
% 15.43/15.84 *** allocated 22500 integers for termspace/termends
% 15.43/15.84 *** allocated 75937 integers for clauses
% 15.43/15.84 Resimplifying inuse:
% 15.43/15.84 Done
% 15.43/15.84
% 15.43/15.84 *** allocated 33750 integers for termspace/termends
% 15.43/15.84 *** allocated 113905 integers for clauses
% 15.43/15.84 *** allocated 50625 integers for termspace/termends
% 15.43/15.84
% 15.43/15.84 Intermediate Status:
% 15.43/15.84 Generated: 8866
% 15.43/15.84 Kept: 2015
% 15.43/15.84 Inuse: 311
% 15.43/15.84 Deleted: 0
% 15.43/15.84 Deletedinuse: 0
% 15.43/15.84
% 15.43/15.84 Resimplifying inuse:
% 15.43/15.84 Done
% 15.43/15.84
% 15.43/15.84 *** allocated 170857 integers for clauses
% 15.43/15.84 *** allocated 75937 integers for termspace/termends
% 15.43/15.84 Resimplifying inuse:
% 15.43/15.84 Done
% 15.43/15.84
% 15.43/15.84 *** allocated 256285 integers for clauses
% 15.43/15.84 *** allocated 113905 integers for termspace/termends
% 15.43/15.84
% 15.43/15.84 Intermediate Status:
% 15.43/15.84 Generated: 21734
% 15.43/15.84 Kept: 4016
% 15.43/15.84 Inuse: 456
% 15.43/15.84 Deleted: 1
% 15.43/15.84 Deletedinuse: 1
% 15.43/15.84
% 15.43/15.84 Resimplifying inuse:
% 15.43/15.84 Done
% 15.43/15.84
% 15.43/15.84 Resimplifying inuse:
% 15.43/15.84 Done
% 15.43/15.84
% 15.43/15.84 *** allocated 384427 integers for clauses
% 15.43/15.84 *** allocated 170857 integers for termspace/termends
% 15.43/15.84
% 15.43/15.84 Intermediate Status:
% 15.43/15.84 Generated: 35326
% 15.43/15.84 Kept: 6203
% 15.43/15.84 Inuse: 531
% 15.43/15.84 Deleted: 1
% 15.43/15.84 Deletedinuse: 1
% 15.43/15.84
% 15.43/15.84 Resimplifying inuse:
% 15.43/15.84 Done
% 15.43/15.84
% 15.43/15.84 Resimplifying inuse:
% 15.43/15.84 Done
% 15.43/15.84
% 15.43/15.84 *** allocated 576640 integers for clauses
% 15.43/15.84
% 15.43/15.84 Intermediate Status:
% 15.43/15.84 Generated: 48316
% 15.43/15.84 Kept: 8277
% 15.43/15.84 Inuse: 665
% 15.43/15.84 Deleted: 2
% 15.43/15.84 Deletedinuse: 1
% 15.43/15.84
% 15.43/15.84 Resimplifying inuse:
% 15.43/15.84 Done
% 15.43/15.84
% 15.43/15.84 *** allocated 256285 integers for termspace/termends
% 15.43/15.84 Resimplifying inuse:
% 15.43/15.84 Done
% 15.43/15.84
% 15.43/15.84
% 15.43/15.84 Intermediate Status:
% 15.43/15.84 Generated: 74615
% 15.43/15.84 Kept: 10510
% 15.43/15.84 Inuse: 769
% 15.43/15.84 Deleted: 4
% 15.43/15.84 Deletedinuse: 2
% 15.43/15.84
% 15.43/15.84 Resimplifying inuse:
% 15.43/15.84 Done
% 15.43/15.84
% 15.43/15.84 Resimplifying inuse:
% 15.43/15.84 Done
% 15.43/15.84
% 15.43/15.84 *** allocated 864960 integers for clauses
% 15.43/15.84
% 15.43/15.84 Intermediate Status:
% 15.43/15.84 Generated: 88848
% 15.43/15.84 Kept: 12761
% 15.43/15.84 Inuse: 864
% 15.43/15.84 Deleted: 6
% 15.43/15.84 Deletedinuse: 4
% 15.43/15.84
% 15.43/15.84 Resimplifying inuse:
% 15.43/15.84 Done
% 15.43/15.84
% 15.43/15.84 Resimplifying inuse:
% 15.43/15.84 Done
% 15.43/15.84
% 15.43/15.84
% 15.43/15.84 Intermediate Status:
% 15.43/15.84 Generated: 99952
% 15.43/15.84 Kept: 14762
% 15.43/15.84 Inuse: 913
% 15.43/15.84 Deleted: 6
% 15.43/15.84 Deletedinuse: 4
% 15.43/15.84
% 15.43/15.84 Resimplifying inuse:
% 15.43/15.84 Done
% 15.43/15.84
% 15.43/15.84 *** allocated 384427 integers for termspace/termends
% 15.43/15.84 Resimplifying inuse:
% 15.43/15.84 Done
% 15.43/15.84
% 15.43/15.84
% 15.43/15.84 Intermediate Status:
% 15.43/15.84 Generated: 112294
% 15.43/15.84 Kept: 16773
% 15.43/15.84 Inuse: 1008
% 15.43/15.84 Deleted: 8
% 15.43/15.84 Deletedinuse: 4
% 15.43/15.84
% 15.43/15.84 Resimplifying inuse:
% 15.43/15.84 Done
% 15.43/15.84
% 15.43/15.84 Resimplifying inuse:
% 15.43/15.84 Done
% 15.43/15.84
% 15.43/15.84 *** allocated 1297440 integers for clauses
% 15.43/15.84
% 15.43/15.84 Intermediate Status:
% 15.43/15.84 Generated: 127936
% 15.43/15.84 Kept: 18778
% 15.43/15.84 Inuse: 1147
% 15.43/15.84 Deleted: 12
% 15.43/15.84 Deletedinuse: 4
% 15.43/15.84
% 15.43/15.84 Resimplifying inuse:
% 15.43/15.84 Done
% 15.43/15.84
% 15.43/15.84 Resimplifying inuse:
% 15.43/15.84 Done
% 15.43/15.84
% 15.43/15.84 Resimplifying clauses:
% 15.43/15.84 Done
% 15.43/15.84
% 15.43/15.84
% 15.43/15.84 Intermediate Status:
% 15.43/15.84 Generated: 137672
% 15.43/15.84 Kept: 20785
% 15.43/15.84 Inuse: 1231
% 15.43/15.84 Deleted: 1003
% 15.43/15.84 Deletedinuse: 10
% 15.43/15.84
% 15.43/15.84 Resimplifying inuse:
% 15.43/15.84 Done
% 15.43/15.84
% 15.43/15.84 Resimplifying inuse:
% 15.43/15.84 Done
% 15.43/15.84
% 15.43/15.84
% 15.43/15.84 Intermediate Status:
% 15.43/15.84 Generated: 149162
% 15.43/15.84 Kept: 22800
% 15.43/15.84 Inuse: 1340
% 15.43/15.84 Deleted: 1003
% 15.43/15.84 Deletedinuse: 10
% 15.43/15.84
% 15.43/15.84 Resimplifying inuse:
% 15.43/15.84 Done
% 15.43/15.84
% 15.43/15.84 Resimplifying inuse:
% 15.43/15.84 Done
% 15.43/15.84
% 15.43/15.84
% 15.43/15.84 Intermediate Status:
% 15.43/15.84 Generated: 158588
% 15.43/15.84 Kept: 24818
% 15.43/15.84 Inuse: 1421
% 15.43/15.84 Deleted: 1003
% 15.43/15.84 Deletedinuse: 10
% 15.43/15.84
% 15.43/15.84 Resimplifying inuse:
% 15.43/15.84 Done
% 15.43/15.84
% 15.43/15.84 Resimplifying inuse:
% 15.43/15.84 Done
% 15.43/15.84
% 15.43/15.84 *** allocated 576640 integers for termspace/termends
% 15.43/15.84
% 15.43/15.84 Intermediate Status:
% 15.43/15.84 Generated: 168024
% 15.43/15.84 Kept: 26825
% 15.43/15.84 Inuse: 1518
% 15.43/15.84 Deleted: 1003
% 15.43/15.84 Deletedinuse: 10
% 15.43/15.84
% 15.43/15.84 Resimplifying inuse:
% 15.43/15.84 Done
% 15.43/15.84
% 15.43/15.84 *** allocated 1946160 integers for clauses
% 15.43/15.84 Resimplifying inuse:
% 15.43/15.84 Done
% 15.43/15.84
% 15.43/15.84
% 15.43/15.84 Intermediate Status:
% 15.43/15.84 Generated: 178203
% 15.43/15.84 Kept: 28839
% 15.43/15.84 Inuse: 1618
% 15.43/15.84 Deleted: 1003
% 15.43/15.84 Deletedinuse: 10
% 15.43/15.84
% 15.43/15.84 Resimplifying inuse:
% 15.43/15.84 Done
% 15.43/15.84
% 15.43/15.84 Resimplifying inuse:
% 15.43/15.84 Done
% 15.43/15.84
% 15.43/15.84
% 15.43/15.84 Intermediate Status:
% 15.43/15.84 Generated: 189848
% 15.43/15.84 Kept: 30855
% 15.43/15.84 Inuse: 1734
% 15.43/15.84 Deleted: 1003
% 15.43/15.84 Deletedinuse: 10
% 15.43/15.84
% 15.43/15.84 Resimplifying inuse:
% 15.43/15.84 Done
% 15.43/15.84
% 15.43/15.84 Resimplifying inuse:
% 15.43/15.84 Done
% 15.43/15.84
% 15.43/15.84
% 15.43/15.84 Intermediate Status:
% 15.43/15.84 Generated: 202037
% 15.43/15.84 Kept: 32857
% 15.43/15.84 Inuse: 1858
% 15.43/15.84 Deleted: 1014
% 15.43/15.84 Deletedinuse: 20
% 15.43/15.84
% 15.43/15.84 Resimplifying inuse:
% 15.43/15.84 Done
% 15.43/15.84
% 15.43/15.84 Resimplifying inuse:
% 15.43/15.84 Done
% 15.43/15.84
% 15.43/15.84
% 15.43/15.84 Intermediate Status:
% 15.43/15.84 Generated: 219096
% 15.43/15.84 Kept: 34860
% 15.43/15.84 Inuse: 2030
% 15.43/15.84 Deleted: 1036
% 15.43/15.84 Deletedinuse: 42
% 15.43/15.84
% 15.43/15.84 Resimplifying inuse:
% 15.43/15.84 Done
% 15.43/15.84
% 15.43/15.84 Resimplifying inuse:
% 15.43/15.84 Done
% 15.43/15.84
% 15.43/15.84
% 15.43/15.84 Intermediate Status:
% 15.43/15.84 Generated: 236878
% 15.43/15.84 Kept: 36869
% 15.43/15.84 Inuse: 2201
% 15.43/15.84 Deleted: 1046
% 15.43/15.84 Deletedinuse: 52
% 15.43/15.84
% 15.43/15.84 Resimplifying inuse:
% 15.43/15.84 Done
% 15.43/15.84
% 15.43/15.84 Resimplifying inuse:
% 15.43/15.84 Done
% 15.43/15.84
% 15.43/15.84
% 15.43/15.84 Intermediate Status:
% 15.43/15.84 Generated: 253994
% 15.43/15.84 Kept: 38897
% 15.43/15.84 Inuse: 2372
% 15.43/15.84 Deleted: 1076
% 15.43/15.84 Deletedinuse: 82
% 15.43/15.84
% 15.43/15.84 Resimplifying inuse:
% 15.43/15.84 Done
% 15.43/15.84
% 15.43/15.84 Resimplifying clauses:
% 15.43/15.84 Done
% 15.43/15.84
% 15.43/15.84 Resimplifying inuse:
% 15.43/15.84 Done
% 15.43/15.84
% 15.43/15.84
% 15.43/15.84 Intermediate Status:
% 15.43/15.84 Generated: 270073
% 15.43/15.84 Kept: 40917
% 15.43/15.84 Inuse: 2528
% 15.43/15.84 Deleted: 4055
% 15.43/15.84 Deletedinuse: 108
% 15.43/15.84
% 15.43/15.84 Resimplifying inuse:
% 15.43/15.84 Done
% 15.43/15.84
% 15.43/15.84 *** allocated 2919240 integers for clauses
% 15.43/15.84 Resimplifying inuse:
% 15.43/15.84 Done
% 15.43/15.84
% 15.43/15.84 *** allocated 864960 integers for termspace/termends
% 15.43/15.84
% 15.43/15.84 Intermediate Status:
% 15.43/15.84 Generated: 287265
% 15.43/15.84 Kept: 42919
% 15.43/15.84 Inuse: 2680
% 15.43/15.84 Deleted: 4067
% 15.43/15.84 Deletedinuse: 120
% 15.43/15.84
% 15.43/15.84 Resimplifying inuse:
% 15.43/15.84 Done
% 15.43/15.84
% 15.43/15.84 Resimplifying inuse:
% 15.43/15.84 Done
% 15.43/15.84
% 15.43/15.84
% 15.43/15.84 Intermediate Status:
% 15.43/15.84 Generated: 314707
% 15.43/15.84 Kept: 44923
% 15.43/15.84 Inuse: 2862
% 15.43/15.84 Deleted: 4085
% 15.43/15.84 Deletedinuse: 137
% 15.43/15.84
% 15.43/15.84 Resimplifying inuse:
% 15.43/15.84 Done
% 15.43/15.84
% 15.43/15.84 Resimplifying inuse:
% 15.43/15.84 Done
% 15.43/15.84
% 15.43/15.84
% 15.43/15.84 Intermediate Status:
% 15.43/15.84 Generated: 335800
% 15.43/15.84 Kept: 46923
% 15.43/15.84 Inuse: 3062
% 15.43/15.84 Deleted: 4259
% 15.43/15.84 Deletedinuse: 250
% 15.43/15.84
% 15.43/15.84 Resimplifying inuse:
% 15.43/15.84 Done
% 15.43/15.84
% 15.43/15.84 Resimplifying inuse:
% 15.43/15.84 Done
% 15.43/15.84
% 15.43/15.84
% 15.43/15.84 Intermediate Status:
% 15.43/15.84 Generated: 356938
% 15.43/15.84 Kept: 48928
% 15.43/15.84 Inuse: 3292
% 15.43/15.84 Deleted: 4316
% 15.43/15.84 Deletedinuse: 250
% 15.43/15.84
% 15.43/15.84 Resimplifying inuse:
% 15.43/15.84 Done
% 15.43/15.84
% 15.43/15.84 Resimplifying inuse:
% 15.43/15.84 Done
% 15.43/15.84
% 15.43/15.84
% 15.43/15.84 Intermediate Status:
% 15.43/15.84 Generated: 375793
% 15.43/15.84 Kept: 50936
% 15.43/15.84 Inuse: 3504
% 15.43/15.84 Deleted: 4369
% 15.43/15.84 Deletedinuse: 250
% 15.43/15.84
% 15.43/15.84 Resimplifying inuse:
% 15.43/15.84 Done
% 15.43/15.84
% 15.43/15.84 Resimplifying inuse:
% 15.43/15.84 Done
% 15.43/15.84
% 15.43/15.84
% 15.43/15.84 Intermediate Status:
% 15.43/15.84 Generated: 394733
% 15.43/15.84 Kept: 52978
% 15.43/15.84 Inuse: 3694
% 15.43/15.84 Deleted: 4420
% 15.43/15.84 Deletedinuse: 258
% 15.43/15.84
% 15.43/15.84 Resimplifying inuse:
% 15.43/15.84 Done
% 15.43/15.84
% 15.43/15.84
% 15.43/15.84 Bliksems!, er is een bewijs:
% 15.43/15.84 % SZS status Theorem
% 15.43/15.84 % SZS output start Refutation
% 15.43/15.84
% 15.43/15.84 (0) {G0,W8,D2,L2,V3,M2} I { ! coll( X, Y, Z ), coll( X, Z, Y ) }.
% 15.43/15.84 (1) {G0,W8,D2,L2,V3,M2} I { ! coll( X, Y, Z ), coll( Y, X, Z ) }.
% 15.43/15.84 (2) {G0,W12,D2,L3,V4,M3} I { ! coll( X, T, Y ), ! coll( X, T, Z ), coll( Y
% 15.43/15.84 , Z, X ) }.
% 15.43/15.84 (3) {G0,W10,D2,L2,V4,M2} I { ! para( X, Y, Z, T ), para( X, Y, T, Z ) }.
% 15.43/15.84 (6) {G0,W10,D2,L2,V4,M2} I { ! perp( X, Y, Z, T ), perp( X, Y, T, Z ) }.
% 15.43/15.84 (7) {G0,W10,D2,L2,V4,M2} I { ! perp( X, Y, Z, T ), perp( Z, T, X, Y ) }.
% 15.43/15.84 (8) {G0,W15,D2,L3,V6,M3} I { ! perp( X, Y, U, W ), ! perp( U, W, Z, T ),
% 15.43/15.84 para( X, Y, Z, T ) }.
% 15.43/15.84 (13) {G0,W10,D2,L2,V4,M2} I { ! cyclic( X, Y, Z, T ), cyclic( X, Y, T, Z )
% 15.43/15.84 }.
% 15.43/15.84 (14) {G0,W10,D2,L2,V4,M2} I { ! cyclic( X, Y, Z, T ), cyclic( X, Z, Y, T )
% 15.43/15.84 }.
% 15.43/15.84 (15) {G0,W10,D2,L2,V4,M2} I { ! cyclic( X, Y, Z, T ), cyclic( Y, X, Z, T )
% 15.43/15.84 }.
% 15.43/15.84 (16) {G0,W15,D2,L3,V5,M3} I { ! cyclic( U, X, Y, Z ), ! cyclic( U, X, Y, T
% 15.43/15.84 ), cyclic( X, Y, Z, T ) }.
% 15.43/15.84 (17) {G0,W18,D2,L2,V8,M2} I { ! eqangle( X, Y, Z, T, U, W, V0, V1 ),
% 15.43/15.84 eqangle( Y, X, Z, T, U, W, V0, V1 ) }.
% 15.43/15.84 (18) {G0,W18,D2,L2,V8,M2} I { ! eqangle( X, Y, Z, T, U, W, V0, V1 ),
% 15.43/15.84 eqangle( Z, T, X, Y, V0, V1, U, W ) }.
% 15.43/15.84 (19) {G0,W18,D2,L2,V8,M2} I { ! eqangle( X, Y, Z, T, U, W, V0, V1 ),
% 15.43/15.84 eqangle( U, W, V0, V1, X, Y, Z, T ) }.
% 15.43/15.84 (20) {G0,W18,D2,L2,V8,M2} I { ! eqangle( X, Y, Z, T, U, W, V0, V1 ),
% 15.43/15.84 eqangle( X, Y, U, W, Z, T, V0, V1 ) }.
% 15.43/15.84 (21) {G0,W27,D2,L3,V12,M3} I { ! eqangle( X, Y, Z, T, V2, V3, V4, V5 ), !
% 15.43/15.84 eqangle( V2, V3, V4, V5, U, W, V0, V1 ), eqangle( X, Y, Z, T, U, W, V0,
% 15.43/15.84 V1 ) }.
% 15.43/15.84 (39) {G0,W14,D2,L2,V6,M2} I { ! para( X, Y, Z, T ), eqangle( X, Y, U, W, Z
% 15.43/15.84 , T, U, W ) }.
% 15.43/15.84 (40) {G0,W14,D2,L2,V4,M2} I { ! cyclic( X, Y, Z, T ), eqangle( Z, X, Z, Y,
% 15.43/15.84 T, X, T, Y ) }.
% 15.43/15.84 (42) {G0,W18,D2,L3,V4,M3} I { ! eqangle( Z, X, Z, Y, T, X, T, Y ), ! coll(
% 15.43/15.84 Z, T, Y ), cyclic( X, Y, Z, T ) }.
% 15.43/15.84 (43) {G0,W29,D2,L5,V6,M5} I { ! cyclic( X, Y, U, Z ), ! cyclic( X, Y, U, T
% 15.43/15.84 ), ! cyclic( X, Y, U, W ), ! eqangle( U, X, U, Y, W, Z, W, T ), cong( X
% 15.43/15.84 , Y, Z, T ) }.
% 15.43/15.84 (56) {G0,W15,D2,L3,V4,M3} I { ! cong( X, Z, Y, Z ), ! cong( X, T, Y, T ),
% 15.43/15.84 perp( X, Y, Z, T ) }.
% 15.43/15.84 (119) {G0,W5,D2,L1,V0,M1} I { perp( skol28, skol26, skol20, skol24 ) }.
% 15.43/15.84 (123) {G0,W4,D2,L1,V0,M1} I { coll( skol31, skol26, skol28 ) }.
% 15.43/15.84 (129) {G0,W9,D2,L1,V0,M1} I { ! eqangle( skol20, skol23, skol23, skol22,
% 15.43/15.84 skol23, skol22, skol22, skol20 ) }.
% 15.43/15.84 (167) {G1,W4,D2,L1,V0,M1} R(0,123) { coll( skol31, skol28, skol26 ) }.
% 15.43/15.84 (175) {G2,W4,D2,L1,V0,M1} R(1,167) { coll( skol28, skol31, skol26 ) }.
% 15.43/15.84 (208) {G1,W12,D2,L3,V4,M3} R(2,0) { ! coll( X, Y, Z ), ! coll( X, Y, T ),
% 15.43/15.84 coll( Z, X, T ) }.
% 15.43/15.84 (219) {G2,W8,D2,L2,V3,M2} F(208) { ! coll( X, Y, Z ), coll( Z, X, Z ) }.
% 15.43/15.84 (297) {G1,W15,D2,L3,V6,M3} R(8,7) { ! perp( X, Y, Z, T ), para( U, W, Z, T
% 15.43/15.84 ), ! perp( X, Y, U, W ) }.
% 15.43/15.84 (298) {G1,W15,D2,L3,V6,M3} R(8,7) { ! perp( X, Y, Z, T ), para( X, Y, U, W
% 15.43/15.84 ), ! perp( U, W, Z, T ) }.
% 15.43/15.84 (306) {G2,W10,D2,L2,V4,M2} F(298) { ! perp( X, Y, Z, T ), para( X, Y, X, Y
% 15.43/15.84 ) }.
% 15.43/15.84 (349) {G1,W5,D2,L1,V0,M1} R(119,7) { perp( skol20, skol24, skol28, skol26 )
% 15.43/15.84 }.
% 15.43/15.84 (354) {G2,W5,D2,L1,V0,M1} R(349,6) { perp( skol20, skol24, skol26, skol28 )
% 15.43/15.84 }.
% 15.43/15.84 (358) {G3,W5,D2,L1,V0,M1} R(354,7) { perp( skol26, skol28, skol20, skol24 )
% 15.43/15.84 }.
% 15.43/15.84 (362) {G4,W5,D2,L1,V0,M1} R(358,6) { perp( skol26, skol28, skol24, skol20 )
% 15.43/15.84 }.
% 15.43/15.84 (391) {G1,W10,D2,L2,V4,M2} R(14,13) { ! cyclic( X, Y, Z, T ), cyclic( X, Z
% 15.43/15.84 , T, Y ) }.
% 15.43/15.84 (407) {G1,W10,D2,L2,V4,M2} R(15,14) { cyclic( X, Y, Z, T ), ! cyclic( Y, Z
% 15.43/15.84 , X, T ) }.
% 15.43/15.84 (409) {G1,W10,D2,L2,V4,M2} R(15,13) { cyclic( X, Y, Z, T ), ! cyclic( Y, X
% 15.43/15.84 , T, Z ) }.
% 15.43/15.84 (445) {G3,W4,D2,L1,V0,M1} R(219,175) { coll( skol26, skol28, skol26 ) }.
% 15.43/15.84 (475) {G1,W15,D2,L3,V5,M3} R(16,15) { ! cyclic( X, Y, Z, T ), ! cyclic( X,
% 15.43/15.84 Y, Z, U ), cyclic( Z, Y, T, U ) }.
% 15.43/15.84 (480) {G1,W15,D2,L3,V5,M3} R(16,13) { ! cyclic( X, Y, Z, T ), cyclic( Y, Z
% 15.43/15.84 , T, U ), ! cyclic( X, Y, U, Z ) }.
% 15.43/15.84 (484) {G2,W10,D2,L2,V4,M2} F(475) { ! cyclic( X, Y, Z, T ), cyclic( Z, Y, T
% 15.43/15.84 , T ) }.
% 15.43/15.84 (520) {G1,W18,D2,L2,V8,M2} R(20,19) { ! eqangle( X, Y, Z, T, U, W, V0, V1 )
% 15.43/15.84 , eqangle( Z, T, V0, V1, X, Y, U, W ) }.
% 15.43/15.84 (540) {G1,W27,D2,L3,V12,M3} R(21,17) { ! eqangle( X, Y, Z, T, U, W, V0, V1
% 15.43/15.84 ), eqangle( V2, V3, V4, V5, U, W, V0, V1 ), ! eqangle( V3, V2, V4, V5, X
% 15.43/15.84 , Y, Z, T ) }.
% 15.43/15.84 (763) {G4,W4,D2,L1,V0,M1} R(445,0) { coll( skol26, skol26, skol28 ) }.
% 15.43/15.84 (784) {G1,W14,D2,L2,V6,M2} R(39,20) { ! para( X, Y, Z, T ), eqangle( X, Y,
% 15.43/15.84 Z, T, U, W, U, W ) }.
% 15.43/15.84 (786) {G1,W14,D2,L2,V6,M2} R(39,18) { ! para( X, Y, Z, T ), eqangle( U, W,
% 15.43/15.84 X, Y, U, W, Z, T ) }.
% 15.43/15.84 (790) {G1,W14,D2,L2,V6,M2} R(39,3) { eqangle( X, Y, Z, T, U, W, Z, T ), !
% 15.43/15.84 para( X, Y, W, U ) }.
% 15.43/15.84 (859) {G5,W14,D2,L2,V1,M2} R(42,763) { ! eqangle( skol26, X, skol26, skol28
% 15.43/15.84 , skol26, X, skol26, skol28 ), cyclic( X, skol28, skol26, skol26 ) }.
% 15.43/15.84 (1029) {G1,W20,D2,L4,V4,M4} R(43,40);f { ! cyclic( X, Y, Z, X ), ! cyclic(
% 15.43/15.84 X, Y, Z, Y ), ! cyclic( X, Y, Z, T ), cong( X, Y, X, Y ) }.
% 15.43/15.84 (1061) {G2,W15,D2,L3,V3,M3} F(1029) { ! cyclic( X, Y, Z, X ), ! cyclic( X,
% 15.43/15.84 Y, Z, Y ), cong( X, Y, X, Y ) }.
% 15.43/15.84 (21461) {G5,W5,D2,L1,V0,M1} R(306,362) { para( skol26, skol28, skol26,
% 15.43/15.84 skol28 ) }.
% 15.43/15.84 (42496) {G6,W9,D2,L1,V2,M1} R(786,21461) { eqangle( X, Y, skol26, skol28, X
% 15.43/15.84 , Y, skol26, skol28 ) }.
% 15.43/15.84 (45724) {G7,W5,D2,L1,V1,M1} S(859);r(42496) { cyclic( X, skol28, skol26,
% 15.43/15.84 skol26 ) }.
% 15.43/15.84 (45745) {G8,W5,D2,L1,V1,M1} R(45724,409) { cyclic( skol28, X, skol26,
% 15.43/15.84 skol26 ) }.
% 15.43/15.84 (45757) {G9,W5,D2,L1,V1,M1} R(45745,484) { cyclic( skol26, X, skol26,
% 15.43/15.84 skol26 ) }.
% 15.43/15.84 (45779) {G10,W5,D2,L1,V1,M1} R(45757,407) { cyclic( skol26, skol26, X,
% 15.43/15.84 skol26 ) }.
% 15.43/15.84 (45780) {G10,W5,D2,L1,V1,M1} R(45757,391) { cyclic( skol26, skol26, skol26
% 15.43/15.84 , X ) }.
% 15.43/15.84 (45785) {G11,W5,D2,L1,V2,M1} R(45779,480);r(45780) { cyclic( skol26, skol26
% 15.43/15.84 , X, Y ) }.
% 15.43/15.84 (45807) {G12,W5,D2,L1,V3,M1} R(45785,480);r(45785) { cyclic( skol26, X, Y,
% 15.43/15.84 Z ) }.
% 15.43/15.84 (45826) {G13,W5,D2,L1,V4,M1} R(45807,480);r(45807) { cyclic( X, Y, Z, T )
% 15.43/15.84 }.
% 15.43/15.84 (52905) {G14,W5,D2,L1,V2,M1} S(1061);r(45826);r(45826) { cong( X, Y, X, Y )
% 15.43/15.84 }.
% 15.43/15.84 (52922) {G15,W5,D2,L1,V3,M1} R(52905,56);r(52905) { perp( X, X, Z, Y ) }.
% 15.43/15.84 (52955) {G16,W5,D2,L1,V4,M1} R(52922,297);r(52922) { para( X, Y, Z, T ) }.
% 15.43/15.84 (53048) {G17,W9,D2,L1,V6,M1} R(52955,790) { eqangle( X, Y, Z, T, U, W, Z, T
% 15.43/15.84 ) }.
% 15.43/15.84 (53050) {G17,W9,D2,L1,V6,M1} R(52955,784) { eqangle( X, Y, Z, T, U, W, U, W
% 15.43/15.84 ) }.
% 15.43/15.84 (53258) {G18,W9,D2,L1,V6,M1} R(53048,520) { eqangle( X, Y, X, Y, Z, T, U, W
% 15.43/15.84 ) }.
% 15.43/15.84 (53260) {G19,W9,D2,L1,V8,M1} R(53258,540);r(53050) { eqangle( X, Y, Z, T, U
% 15.43/15.84 , W, V0, V1 ) }.
% 15.43/15.84 (53261) {G20,W0,D0,L0,V0,M0} R(53260,129) { }.
% 15.43/15.84
% 15.43/15.84
% 15.43/15.84 % SZS output end Refutation
% 15.43/15.84 found a proof!
% 15.43/15.84
% 15.43/15.84
% 15.43/15.84 Unprocessed initial clauses:
% 15.43/15.84
% 15.43/15.84 (53263) {G0,W8,D2,L2,V3,M2} { ! coll( X, Y, Z ), coll( X, Z, Y ) }.
% 15.43/15.84 (53264) {G0,W8,D2,L2,V3,M2} { ! coll( X, Y, Z ), coll( Y, X, Z ) }.
% 15.43/15.84 (53265) {G0,W12,D2,L3,V4,M3} { ! coll( X, T, Y ), ! coll( X, T, Z ), coll
% 15.43/15.84 ( Y, Z, X ) }.
% 15.43/15.84 (53266) {G0,W10,D2,L2,V4,M2} { ! para( X, Y, Z, T ), para( X, Y, T, Z )
% 15.43/15.84 }.
% 15.43/15.84 (53267) {G0,W10,D2,L2,V4,M2} { ! para( X, Y, Z, T ), para( Z, T, X, Y )
% 15.43/15.84 }.
% 15.43/15.84 (53268) {G0,W15,D2,L3,V6,M3} { ! para( X, Y, U, W ), ! para( U, W, Z, T )
% 15.43/15.84 , para( X, Y, Z, T ) }.
% 15.43/15.84 (53269) {G0,W10,D2,L2,V4,M2} { ! perp( X, Y, Z, T ), perp( X, Y, T, Z )
% 15.43/15.84 }.
% 15.43/15.84 (53270) {G0,W10,D2,L2,V4,M2} { ! perp( X, Y, Z, T ), perp( Z, T, X, Y )
% 15.43/15.84 }.
% 15.43/15.84 (53271) {G0,W15,D2,L3,V6,M3} { ! perp( X, Y, U, W ), ! perp( U, W, Z, T )
% 15.43/15.84 , para( X, Y, Z, T ) }.
% 15.43/15.84 (53272) {G0,W15,D2,L3,V6,M3} { ! para( X, Y, U, W ), ! perp( U, W, Z, T )
% 15.43/15.84 , perp( X, Y, Z, T ) }.
% 15.43/15.84 (53273) {G0,W8,D2,L2,V3,M2} { ! midp( Z, Y, X ), midp( Z, X, Y ) }.
% 15.43/15.84 (53274) {G0,W15,D2,L3,V4,M3} { ! cong( T, X, T, Y ), ! cong( T, X, T, Z )
% 15.43/15.84 , circle( T, X, Y, Z ) }.
% 15.43/15.84 (53275) {G0,W20,D2,L4,V5,M4} { ! cong( U, X, U, Y ), ! cong( U, X, U, Z )
% 15.43/15.84 , ! cong( U, X, U, T ), cyclic( X, Y, Z, T ) }.
% 15.43/15.84 (53276) {G0,W10,D2,L2,V4,M2} { ! cyclic( X, Y, Z, T ), cyclic( X, Y, T, Z
% 15.43/15.84 ) }.
% 15.43/15.84 (53277) {G0,W10,D2,L2,V4,M2} { ! cyclic( X, Y, Z, T ), cyclic( X, Z, Y, T
% 15.43/15.84 ) }.
% 15.43/15.84 (53278) {G0,W10,D2,L2,V4,M2} { ! cyclic( X, Y, Z, T ), cyclic( Y, X, Z, T
% 15.43/15.84 ) }.
% 15.43/15.84 (53279) {G0,W15,D2,L3,V5,M3} { ! cyclic( U, X, Y, Z ), ! cyclic( U, X, Y,
% 15.43/15.84 T ), cyclic( X, Y, Z, T ) }.
% 15.43/15.84 (53280) {G0,W18,D2,L2,V8,M2} { ! eqangle( X, Y, Z, T, U, W, V0, V1 ),
% 15.43/15.84 eqangle( Y, X, Z, T, U, W, V0, V1 ) }.
% 15.43/15.84 (53281) {G0,W18,D2,L2,V8,M2} { ! eqangle( X, Y, Z, T, U, W, V0, V1 ),
% 15.43/15.84 eqangle( Z, T, X, Y, V0, V1, U, W ) }.
% 15.43/15.84 (53282) {G0,W18,D2,L2,V8,M2} { ! eqangle( X, Y, Z, T, U, W, V0, V1 ),
% 15.43/15.84 eqangle( U, W, V0, V1, X, Y, Z, T ) }.
% 15.43/15.84 (53283) {G0,W18,D2,L2,V8,M2} { ! eqangle( X, Y, Z, T, U, W, V0, V1 ),
% 15.43/15.84 eqangle( X, Y, U, W, Z, T, V0, V1 ) }.
% 15.43/15.84 (53284) {G0,W27,D2,L3,V12,M3} { ! eqangle( X, Y, Z, T, V2, V3, V4, V5 ), !
% 15.43/15.84 eqangle( V2, V3, V4, V5, U, W, V0, V1 ), eqangle( X, Y, Z, T, U, W, V0,
% 15.43/15.84 V1 ) }.
% 15.43/15.84 (53285) {G0,W10,D2,L2,V4,M2} { ! cong( X, Y, Z, T ), cong( X, Y, T, Z )
% 15.43/15.84 }.
% 15.43/15.84 (53286) {G0,W10,D2,L2,V4,M2} { ! cong( X, Y, Z, T ), cong( Z, T, X, Y )
% 15.43/15.84 }.
% 15.43/15.84 (53287) {G0,W15,D2,L3,V6,M3} { ! cong( X, Y, U, W ), ! cong( U, W, Z, T )
% 15.43/15.84 , cong( X, Y, Z, T ) }.
% 15.43/15.84 (53288) {G0,W18,D2,L2,V8,M2} { ! eqratio( X, Y, Z, T, U, W, V0, V1 ),
% 15.43/15.84 eqratio( Y, X, Z, T, U, W, V0, V1 ) }.
% 15.43/15.84 (53289) {G0,W18,D2,L2,V8,M2} { ! eqratio( X, Y, Z, T, U, W, V0, V1 ),
% 15.43/15.84 eqratio( Z, T, X, Y, V0, V1, U, W ) }.
% 15.43/15.84 (53290) {G0,W18,D2,L2,V8,M2} { ! eqratio( X, Y, Z, T, U, W, V0, V1 ),
% 15.43/15.84 eqratio( U, W, V0, V1, X, Y, Z, T ) }.
% 15.43/15.84 (53291) {G0,W18,D2,L2,V8,M2} { ! eqratio( X, Y, Z, T, U, W, V0, V1 ),
% 15.43/15.84 eqratio( X, Y, U, W, Z, T, V0, V1 ) }.
% 15.43/15.84 (53292) {G0,W27,D2,L3,V12,M3} { ! eqratio( X, Y, Z, T, V2, V3, V4, V5 ), !
% 15.43/15.84 eqratio( V2, V3, V4, V5, U, W, V0, V1 ), eqratio( X, Y, Z, T, U, W, V0,
% 15.43/15.84 V1 ) }.
% 15.43/15.84 (53293) {G0,W14,D2,L2,V6,M2} { ! simtri( X, Z, Y, T, W, U ), simtri( X, Y
% 15.43/15.84 , Z, T, U, W ) }.
% 15.43/15.84 (53294) {G0,W14,D2,L2,V6,M2} { ! simtri( Y, X, Z, U, T, W ), simtri( X, Y
% 15.43/15.84 , Z, T, U, W ) }.
% 15.43/15.84 (53295) {G0,W14,D2,L2,V6,M2} { ! simtri( T, U, W, X, Y, Z ), simtri( X, Y
% 15.43/15.84 , Z, T, U, W ) }.
% 15.43/15.84 (53296) {G0,W21,D2,L3,V9,M3} { ! simtri( X, Y, Z, V0, V1, V2 ), ! simtri(
% 15.43/15.84 V0, V1, V2, T, U, W ), simtri( X, Y, Z, T, U, W ) }.
% 15.43/15.84 (53297) {G0,W14,D2,L2,V6,M2} { ! contri( X, Z, Y, T, W, U ), contri( X, Y
% 15.43/15.84 , Z, T, U, W ) }.
% 15.43/15.84 (53298) {G0,W14,D2,L2,V6,M2} { ! contri( Y, X, Z, U, T, W ), contri( X, Y
% 15.43/15.84 , Z, T, U, W ) }.
% 15.43/15.84 (53299) {G0,W14,D2,L2,V6,M2} { ! contri( T, U, W, X, Y, Z ), contri( X, Y
% 15.43/15.84 , Z, T, U, W ) }.
% 15.43/15.84 (53300) {G0,W21,D2,L3,V9,M3} { ! contri( X, Y, Z, V0, V1, V2 ), ! contri(
% 15.43/15.84 V0, V1, V2, T, U, W ), contri( X, Y, Z, T, U, W ) }.
% 15.43/15.84 (53301) {G0,W14,D2,L2,V6,M2} { ! eqangle( X, Y, U, W, Z, T, U, W ), para(
% 15.43/15.84 X, Y, Z, T ) }.
% 15.43/15.84 (53302) {G0,W14,D2,L2,V6,M2} { ! para( X, Y, Z, T ), eqangle( X, Y, U, W,
% 15.43/15.84 Z, T, U, W ) }.
% 15.43/15.84 (53303) {G0,W14,D2,L2,V4,M2} { ! cyclic( X, Y, Z, T ), eqangle( Z, X, Z, Y
% 15.43/15.84 , T, X, T, Y ) }.
% 15.43/15.84 (53304) {G0,W18,D2,L3,V4,M3} { ! eqangle( Z, X, Z, Y, T, X, T, Y ), coll(
% 15.43/15.84 Z, T, X ), cyclic( X, Y, Z, T ) }.
% 15.43/15.84 (53305) {G0,W18,D2,L3,V4,M3} { ! eqangle( Z, X, Z, Y, T, X, T, Y ), ! coll
% 15.43/15.84 ( Z, T, Y ), cyclic( X, Y, Z, T ) }.
% 15.43/15.84 (53306) {G0,W29,D2,L5,V6,M5} { ! cyclic( X, Y, U, Z ), ! cyclic( X, Y, U,
% 15.43/15.84 T ), ! cyclic( X, Y, U, W ), ! eqangle( U, X, U, Y, W, Z, W, T ), cong( X
% 15.43/15.84 , Y, Z, T ) }.
% 15.43/15.84 (53307) {G0,W13,D2,L3,V5,M3} { ! midp( Z, U, X ), ! midp( T, U, Y ), para
% 15.43/15.84 ( Z, T, X, Y ) }.
% 15.43/15.84 (53308) {G0,W17,D2,L4,V5,M4} { ! midp( U, X, T ), ! para( U, Z, T, Y ), !
% 15.43/15.84 coll( Z, X, Y ), midp( Z, X, Y ) }.
% 15.43/15.84 (53309) {G0,W14,D2,L2,V3,M2} { ! cong( Z, X, Z, Y ), eqangle( Z, X, X, Y,
% 15.43/15.84 X, Y, Z, Y ) }.
% 15.43/15.84 (53310) {G0,W18,D2,L3,V3,M3} { ! eqangle( Z, X, X, Y, X, Y, Z, Y ), coll(
% 15.43/15.84 Z, X, Y ), cong( Z, X, Z, Y ) }.
% 15.43/15.84 (53311) {G0,W19,D2,L3,V5,M3} { ! circle( U, X, Y, Z ), ! perp( U, X, X, T
% 15.43/15.84 ), eqangle( X, T, X, Y, Z, X, Z, Y ) }.
% 15.43/15.84 (53312) {G0,W19,D2,L3,V5,M3} { ! circle( Y, X, T, U ), ! eqangle( X, Z, X
% 15.43/15.84 , T, U, X, U, T ), perp( Y, X, X, Z ) }.
% 15.43/15.84 (53313) {G0,W18,D2,L3,V5,M3} { ! circle( T, X, Y, Z ), ! midp( U, Y, Z ),
% 15.43/15.84 eqangle( X, Y, X, Z, T, Y, T, U ) }.
% 15.43/15.84 (53314) {G0,W22,D2,L4,V5,M4} { ! circle( U, T, X, Y ), ! coll( Z, X, Y ),
% 15.43/15.84 ! eqangle( T, X, T, Y, U, X, U, Z ), midp( Z, X, Y ) }.
% 15.43/15.84 (53315) {G0,W14,D2,L3,V4,M3} { ! perp( X, Y, Y, T ), ! midp( Z, X, T ),
% 15.43/15.84 cong( X, Z, Y, Z ) }.
% 15.43/15.84 (53316) {G0,W14,D2,L3,V4,M3} { ! circle( T, X, Y, Z ), ! coll( T, X, Z ),
% 15.43/15.84 perp( X, Y, Y, Z ) }.
% 15.43/15.84 (53317) {G0,W19,D2,L3,V4,M3} { ! cyclic( X, Y, Z, T ), ! para( X, Y, Z, T
% 15.43/15.84 ), eqangle( X, T, Z, T, Z, T, Z, Y ) }.
% 15.43/15.84 (53318) {G0,W14,D2,L3,V4,M3} { ! midp( T, X, Y ), ! perp( Z, T, X, Y ),
% 15.43/15.84 cong( Z, X, Z, Y ) }.
% 15.43/15.84 (53319) {G0,W15,D2,L3,V4,M3} { ! cong( X, Z, Y, Z ), ! cong( X, T, Y, T )
% 15.43/15.84 , perp( X, Y, Z, T ) }.
% 15.43/15.84 (53320) {G0,W20,D2,L4,V4,M4} { ! cong( X, Y, T, Y ), ! cong( X, Z, T, Z )
% 15.43/15.84 , ! cyclic( X, T, Y, Z ), perp( Y, X, X, Z ) }.
% 15.43/15.84 (53321) {G0,W29,D2,L4,V6,M4} { ! eqangle( X, Y, Y, Z, T, U, U, W ), !
% 15.43/15.84 eqangle( X, Z, Y, Z, T, W, U, W ), coll( X, Y, Z ), simtri( X, Y, Z, T, U
% 15.43/15.84 , W ) }.
% 15.43/15.84 (53322) {G0,W16,D2,L2,V6,M2} { ! simtri( X, Y, Z, T, U, W ), eqratio( X, Y
% 15.43/15.84 , X, Z, T, U, T, W ) }.
% 15.43/15.84 (53323) {G0,W16,D2,L2,V6,M2} { ! simtri( X, Y, Z, T, U, W ), eqangle( X, Y
% 15.43/15.84 , Y, Z, T, U, U, W ) }.
% 15.43/15.84 (53324) {G0,W19,D2,L3,V6,M3} { ! simtri( X, Y, Z, T, U, W ), ! cong( X, Y
% 15.43/15.84 , T, U ), contri( X, Y, Z, T, U, W ) }.
% 15.43/15.84 (53325) {G0,W12,D2,L2,V6,M2} { ! contri( X, Y, U, Z, T, W ), cong( X, Y, Z
% 15.43/15.84 , T ) }.
% 15.43/15.84 (53326) {G0,W13,D2,L3,V5,M3} { ! midp( U, X, Y ), ! midp( U, Z, T ), para
% 15.43/15.84 ( X, Z, Y, T ) }.
% 15.43/15.84 (53327) {G0,W18,D2,L4,V5,M4} { ! midp( Z, T, U ), ! para( T, X, U, Y ), !
% 15.43/15.84 para( T, Y, U, X ), midp( Z, X, Y ) }.
% 15.43/15.84 (53328) {G0,W22,D2,L4,V5,M4} { ! para( X, Y, Z, T ), ! coll( U, X, Z ), !
% 15.43/15.84 coll( U, Y, T ), eqratio( U, X, X, Z, U, Y, Y, T ) }.
% 15.43/15.84 (53329) {G0,W9,D2,L2,V3,M2} { ! para( X, Y, X, Z ), coll( X, Y, Z ) }.
% 15.43/15.84 (53330) {G0,W13,D2,L3,V3,M3} { ! cong( X, Y, X, Z ), ! coll( X, Y, Z ),
% 15.43/15.84 midp( X, Y, Z ) }.
% 15.43/15.84 (53331) {G0,W9,D2,L2,V3,M2} { ! midp( X, Y, Z ), cong( X, Y, X, Z ) }.
% 15.43/15.84 (53332) {G0,W8,D2,L2,V3,M2} { ! midp( X, Y, Z ), coll( X, Y, Z ) }.
% 15.43/15.84 (53333) {G0,W17,D2,L3,V6,M3} { ! midp( U, X, Y ), ! midp( W, Z, T ),
% 15.43/15.84 eqratio( U, X, X, Y, W, Z, Z, T ) }.
% 15.43/15.84 (53334) {G0,W19,D2,L3,V4,M3} { ! eqangle( X, Y, Z, T, Z, T, X, Y ), para(
% 15.43/15.84 X, Y, Z, T ), perp( X, Y, Z, T ) }.
% 15.43/15.84 (53335) {G0,W19,D2,L3,V4,M3} { ! eqangle( X, Y, Z, T, Z, T, X, Y ), perp(
% 15.43/15.84 X, Y, Z, T ), para( X, Y, Z, T ) }.
% 15.43/15.84 (53336) {G0,W19,D2,L3,V8,M3} { ! eqangle( X, Y, Z, T, U, W, V0, V1 ), !
% 15.43/15.84 para( U, W, V0, V1 ), para( X, Y, Z, T ) }.
% 15.43/15.84 (53337) {G0,W19,D2,L3,V8,M3} { ! eqangle( X, Y, Z, T, U, W, V0, V1 ), !
% 15.43/15.84 perp( U, W, V0, V1 ), perp( X, Y, Z, T ) }.
% 15.43/15.84 (53338) {G0,W19,D2,L3,V8,M3} { ! eqratio( X, Y, Z, T, U, W, V0, V1 ), !
% 15.43/15.84 cong( U, W, V0, V1 ), cong( X, Y, Z, T ) }.
% 15.43/15.84 (53339) {G0,W22,D3,L3,V6,M3} { ! perp( Z, Y, Y, X ), ! eqangle( T, Z, Y, Z
% 15.43/15.84 , Y, Z, X, Z ), coll( skol1( U, W, Z, T ), Z, T ) }.
% 15.43/15.84 (53340) {G0,W22,D3,L3,V4,M3} { ! perp( Z, Y, Y, X ), ! eqangle( T, Z, Y, Z
% 15.43/15.84 , Y, Z, X, Z ), coll( skol1( X, Y, Z, T ), X, Y ) }.
% 15.43/15.84 (53341) {G0,W22,D3,L3,V6,M3} { ! cong( Z, X, Z, Y ), ! eqangle( X, Z, Z, T
% 15.43/15.84 , Z, T, Z, Y ), coll( skol2( U, W, Z, T ), Z, T ) }.
% 15.43/15.84 (53342) {G0,W22,D3,L3,V4,M3} { ! cong( Z, X, Z, Y ), ! eqangle( X, Z, Z, T
% 15.43/15.84 , Z, T, Z, Y ), coll( Y, X, skol2( X, Y, Z, T ) ) }.
% 15.43/15.84 (53343) {G0,W22,D3,L3,V6,M3} { ! perp( Z, T, X, Y ), ! eqangle( X, Z, Z, T
% 15.43/15.84 , Z, T, Z, Y ), coll( skol3( U, W, Z, T ), Z, T ) }.
% 15.43/15.84 (53344) {G0,W22,D3,L3,V4,M3} { ! perp( Z, T, X, Y ), ! eqangle( X, Z, Z, T
% 15.43/15.84 , Z, T, Z, Y ), coll( Y, X, skol3( X, Y, Z, T ) ) }.
% 15.43/15.84 (53345) {G0,W18,D3,L3,V6,M3} { ! perp( Z, T, X, Y ), ! cong( Z, X, Z, Y )
% 15.43/15.84 , coll( skol4( U, W, Z, T ), Z, T ) }.
% 15.43/15.84 (53346) {G0,W18,D3,L3,V4,M3} { ! perp( Z, T, X, Y ), ! cong( Z, X, Z, Y )
% 15.43/15.84 , coll( Y, X, skol4( X, Y, Z, T ) ) }.
% 15.43/15.84 (53347) {G0,W22,D3,L3,V6,M3} { ! eqangle( X, Z, Y, Z, X, T, Y, U ), coll(
% 15.43/15.84 X, Y, Z ), cyclic( T, Y, Z, skol5( W, Y, Z, T ) ) }.
% 15.43/15.84 (53348) {G0,W30,D3,L3,V5,M3} { ! eqangle( X, Z, Y, Z, X, T, Y, U ), coll(
% 15.43/15.84 X, Y, Z ), eqangle( X, Z, Y, Z, X, skol5( X, Y, Z, T ), Y, skol5( X, Y, Z
% 15.43/15.84 , T ) ) }.
% 15.43/15.84 (53349) {G0,W18,D3,L3,V10,M3} { ! midp( U, X, Y ), ! midp( W, Z, T ), midp
% 15.43/15.84 ( skol6( X, V0, V1, T, V2, V3 ), X, T ) }.
% 15.43/15.84 (53350) {G0,W19,D3,L3,V8,M3} { ! midp( U, X, Y ), ! midp( W, Z, T ), para
% 15.43/15.84 ( skol6( X, V0, Z, T, V1, W ), W, X, Z ) }.
% 15.43/15.84 (53351) {G0,W19,D3,L3,V6,M3} { ! midp( U, X, Y ), ! midp( W, Z, T ), para
% 15.43/15.84 ( skol6( X, Y, Z, T, U, W ), U, Y, T ) }.
% 15.43/15.84 (53352) {G0,W22,D3,L5,V7,M5} { ! midp( Z, X, Y ), ! midp( W, T, U ), !
% 15.43/15.84 coll( T, X, Y ), ! coll( U, X, Y ), midp( skol7( X, V0 ), X, V0 ) }.
% 15.43/15.84 (53353) {G0,W26,D3,L5,V8,M5} { ! midp( T, X, U ), ! para( X, W, Z, T ), !
% 15.43/15.84 para( X, W, U, Y ), ! coll( W, Y, Z ), coll( skol8( V0, V1, Z, T ), T, Z
% 15.43/15.84 ) }.
% 15.43/15.84 (53354) {G0,W26,D3,L5,V6,M5} { ! midp( T, X, U ), ! para( X, W, Z, T ), !
% 15.43/15.84 para( X, W, U, Y ), ! coll( W, Y, Z ), coll( skol8( X, Y, Z, T ), X, Y )
% 15.43/15.84 }.
% 15.43/15.84 (53355) {G0,W19,D3,L3,V7,M3} { ! cong( T, Z, T, U ), ! perp( X, Y, Y, T )
% 15.43/15.84 , cong( T, Z, T, skol9( W, V0, Z, T ) ) }.
% 15.43/15.84 (53356) {G0,W19,D3,L3,V6,M3} { ! cong( T, Z, T, U ), ! perp( X, Y, Y, T )
% 15.43/15.84 , cong( Y, Z, Y, skol9( W, Y, Z, T ) ) }.
% 15.43/15.84 (53357) {G0,W19,D3,L3,V5,M3} { ! cong( T, Z, T, U ), ! perp( X, Y, Y, T )
% 15.43/15.84 , para( skol9( X, Y, Z, T ), Z, X, Y ) }.
% 15.43/15.84 (53358) {G0,W17,D3,L3,V5,M3} { ! perp( X, T, Y, Z ), ! perp( Y, T, X, Z )
% 15.43/15.84 , coll( skol10( U, Y, Z ), Z, Y ) }.
% 15.43/15.84 (53359) {G0,W18,D3,L3,V4,M3} { ! perp( X, T, Y, Z ), ! perp( Y, T, X, Z )
% 15.43/15.84 , perp( X, skol10( X, Y, Z ), Z, Y ) }.
% 15.43/15.84 (53360) {G0,W14,D2,L3,V4,M3} { ! perp( X, T, Y, Z ), ! perp( Y, T, X, Z )
% 15.43/15.84 , alpha1( X, Y, Z ) }.
% 15.43/15.84 (53361) {G0,W11,D3,L2,V4,M2} { ! alpha1( X, Y, Z ), coll( skol11( X, T, Z
% 15.43/15.84 ), Z, X ) }.
% 15.43/15.84 (53362) {G0,W12,D3,L2,V3,M2} { ! alpha1( X, Y, Z ), perp( Y, skol11( X, Y
% 15.43/15.84 , Z ), Z, X ) }.
% 15.43/15.84 (53363) {G0,W13,D2,L3,V4,M3} { ! coll( T, Z, X ), ! perp( Y, T, Z, X ),
% 15.43/15.84 alpha1( X, Y, Z ) }.
% 15.43/15.84 (53364) {G0,W12,D3,L2,V4,M2} { ! circle( Y, X, Z, T ), perp( skol12( X, Y
% 15.43/15.84 ), X, X, Y ) }.
% 15.43/15.84 (53365) {G0,W28,D3,L5,V8,M5} { ! circle( W, X, Y, Z ), ! cong( W, X, W, T
% 15.43/15.84 ), ! cong( U, X, U, Y ), W = U, alpha2( X, Z, U, skol13( X, V0, Z, V1, U
% 15.43/15.84 ) ) }.
% 15.43/15.84 (53366) {G0,W26,D3,L5,V8,M5} { ! circle( W, X, Y, Z ), ! cong( W, X, W, T
% 15.43/15.84 ), ! cong( U, X, U, Y ), W = U, coll( skol21( V0, Y, T, V1 ), Y, T ) }.
% 15.43/15.84 (53367) {G0,W27,D3,L5,V6,M5} { ! circle( W, X, Y, Z ), ! cong( W, X, W, T
% 15.43/15.84 ), ! cong( U, X, U, Y ), W = U, cong( skol21( X, Y, T, U ), U, U, X )
% 15.43/15.84 }.
% 15.43/15.84 (53368) {G0,W9,D2,L2,V4,M2} { ! alpha2( X, Y, Z, T ), coll( T, X, Y ) }.
% 15.43/15.84 (53369) {G0,W10,D2,L2,V4,M2} { ! alpha2( X, Y, Z, T ), cong( T, Z, Z, X )
% 15.43/15.84 }.
% 15.43/15.84 (53370) {G0,W14,D2,L3,V4,M3} { ! coll( T, X, Y ), ! cong( T, Z, Z, X ),
% 15.43/15.84 alpha2( X, Y, Z, T ) }.
% 15.43/15.84 (53371) {G0,W22,D3,L4,V5,M4} { ! cyclic( X, Y, Z, T ), ! para( X, Y, Z, T
% 15.43/15.84 ), ! midp( U, X, Y ), circle( skol14( X, Y, Z ), X, Y, Z ) }.
% 15.43/15.84 (53372) {G0,W18,D3,L3,V4,M3} { ! perp( X, Z, Z, Y ), ! cyclic( X, Y, Z, T
% 15.43/15.84 ), circle( skol15( X, Y, Z ), X, Y, Z ) }.
% 15.43/15.84 (53373) {G0,W16,D3,L3,V6,M3} { ! perp( X, U, U, T ), ! coll( T, Y, Z ),
% 15.43/15.84 coll( skol16( W, Y, Z ), Y, Z ) }.
% 15.43/15.84 (53374) {G0,W17,D3,L3,V5,M3} { ! perp( X, U, U, T ), ! coll( T, Y, Z ),
% 15.43/15.84 perp( skol16( X, Y, Z ), X, Y, Z ) }.
% 15.43/15.84 (53375) {G0,W20,D3,L4,V5,M4} { ! perp( X, Z, X, Y ), ! perp( Y, X, Y, T )
% 15.43/15.84 , ! midp( U, Z, T ), midp( skol17( X, Y ), X, Y ) }.
% 15.43/15.84 (53376) {G0,W16,D3,L3,V3,M3} { ! cong( Y, X, Y, Z ), ! perp( X, Y, Y, Z )
% 15.43/15.84 , coll( X, Y, skol18( X, Y ) ) }.
% 15.43/15.84 (53377) {G0,W17,D3,L3,V3,M3} { ! cong( Y, X, Y, Z ), ! perp( X, Y, Y, Z )
% 15.43/15.84 , cong( Y, X, Y, skol18( X, Y ) ) }.
% 15.43/15.84 (53378) {G0,W25,D3,L5,V8,M5} { ! para( U, W, X, Y ), ! coll( Z, U, X ), !
% 15.43/15.84 coll( Z, W, Y ), ! coll( T, U, W ), coll( Z, T, skol19( V0, V1, Z, T ) )
% 15.43/15.84 }.
% 15.43/15.84 (53379) {G0,W25,D3,L5,V6,M5} { ! para( U, W, X, Y ), ! coll( Z, U, X ), !
% 15.43/15.84 coll( Z, W, Y ), ! coll( T, U, W ), coll( skol19( X, Y, Z, T ), X, Y )
% 15.43/15.84 }.
% 15.43/15.84 (53380) {G0,W5,D2,L1,V0,M1} { circle( skol26, skol20, skol24, skol25 ) }.
% 15.43/15.84 (53381) {G0,W5,D2,L1,V0,M1} { perp( skol27, skol26, skol20, skol25 ) }.
% 15.43/15.84 (53382) {G0,W4,D2,L1,V0,M1} { coll( skol27, skol20, skol25 ) }.
% 15.43/15.84 (53383) {G0,W5,D2,L1,V0,M1} { perp( skol28, skol26, skol20, skol24 ) }.
% 15.43/15.84 (53384) {G0,W4,D2,L1,V0,M1} { coll( skol28, skol20, skol24 ) }.
% 15.43/15.84 (53385) {G0,W4,D2,L1,V0,M1} { coll( skol29, skol26, skol27 ) }.
% 15.43/15.84 (53386) {G0,W5,D2,L1,V0,M1} { circle( skol26, skol20, skol29, skol30 ) }.
% 15.43/15.84 (53387) {G0,W4,D2,L1,V0,M1} { coll( skol31, skol26, skol28 ) }.
% 15.43/15.84 (53388) {G0,W5,D2,L1,V0,M1} { circle( skol26, skol20, skol31, skol32 ) }.
% 15.43/15.84 (53389) {G0,W4,D2,L1,V0,M1} { coll( skol22, skol20, skol25 ) }.
% 15.43/15.84 (53390) {G0,W4,D2,L1,V0,M1} { coll( skol22, skol29, skol31 ) }.
% 15.43/15.84 (53391) {G0,W4,D2,L1,V0,M1} { coll( skol23, skol20, skol24 ) }.
% 15.43/15.84 (53392) {G0,W4,D2,L1,V0,M1} { coll( skol23, skol29, skol31 ) }.
% 15.43/15.84 (53393) {G0,W9,D2,L1,V0,M1} { ! eqangle( skol20, skol23, skol23, skol22,
% 15.43/15.84 skol23, skol22, skol22, skol20 ) }.
% 15.43/15.84
% 15.43/15.84
% 15.43/15.84 Total Proof:
% 15.43/15.84
% 15.43/15.84 subsumption: (0) {G0,W8,D2,L2,V3,M2} I { ! coll( X, Y, Z ), coll( X, Z, Y )
% 15.43/15.84 }.
% 15.43/15.84 parent0: (53263) {G0,W8,D2,L2,V3,M2} { ! coll( X, Y, Z ), coll( X, Z, Y )
% 15.43/15.84 }.
% 15.43/15.84 substitution0:
% 15.43/15.84 X := X
% 15.43/15.84 Y := Y
% 15.43/15.84 Z := Z
% 15.43/15.84 end
% 15.43/15.84 permutation0:
% 15.43/15.84 0 ==> 0
% 15.43/15.84 1 ==> 1
% 15.43/15.84 end
% 15.43/15.84
% 15.43/15.84 subsumption: (1) {G0,W8,D2,L2,V3,M2} I { ! coll( X, Y, Z ), coll( Y, X, Z )
% 15.43/15.84 }.
% 15.43/15.84 parent0: (53264) {G0,W8,D2,L2,V3,M2} { ! coll( X, Y, Z ), coll( Y, X, Z )
% 15.43/15.84 }.
% 15.43/15.84 substitution0:
% 15.43/15.84 X := X
% 15.43/15.84 Y := Y
% 15.43/15.84 Z := Z
% 15.43/15.84 end
% 15.43/15.84 permutation0:
% 15.43/15.84 0 ==> 0
% 15.43/15.84 1 ==> 1
% 15.43/15.84 end
% 15.43/15.84
% 15.43/15.84 subsumption: (2) {G0,W12,D2,L3,V4,M3} I { ! coll( X, T, Y ), ! coll( X, T,
% 15.43/15.84 Z ), coll( Y, Z, X ) }.
% 15.43/15.84 parent0: (53265) {G0,W12,D2,L3,V4,M3} { ! coll( X, T, Y ), ! coll( X, T, Z
% 15.43/15.84 ), coll( Y, Z, X ) }.
% 15.43/15.84 substitution0:
% 15.43/15.84 X := X
% 15.43/15.84 Y := Y
% 15.43/15.84 Z := Z
% 15.43/15.84 T := T
% 15.43/15.84 end
% 15.43/15.84 permutation0:
% 15.43/15.84 0 ==> 0
% 15.43/15.84 1 ==> 1
% 15.43/15.84 2 ==> 2
% 15.43/15.84 end
% 15.43/15.84
% 15.43/15.84 subsumption: (3) {G0,W10,D2,L2,V4,M2} I { ! para( X, Y, Z, T ), para( X, Y
% 15.43/15.84 , T, Z ) }.
% 15.43/15.84 parent0: (53266) {G0,W10,D2,L2,V4,M2} { ! para( X, Y, Z, T ), para( X, Y,
% 15.43/15.84 T, Z ) }.
% 15.43/15.84 substitution0:
% 15.43/15.84 X := X
% 15.43/15.84 Y := Y
% 15.43/15.84 Z := Z
% 15.43/15.84 T := T
% 15.43/15.84 end
% 15.43/15.84 permutation0:
% 15.43/15.84 0 ==> 0
% 15.43/15.84 1 ==> 1
% 15.43/15.84 end
% 15.43/15.84
% 15.43/15.84 subsumption: (6) {G0,W10,D2,L2,V4,M2} I { ! perp( X, Y, Z, T ), perp( X, Y
% 15.43/15.84 , T, Z ) }.
% 15.43/15.84 parent0: (53269) {G0,W10,D2,L2,V4,M2} { ! perp( X, Y, Z, T ), perp( X, Y,
% 15.43/15.84 T, Z ) }.
% 15.43/15.84 substitution0:
% 15.43/15.84 X := X
% 15.43/15.84 Y := Y
% 15.43/15.84 Z := Z
% 15.43/15.84 T := T
% 15.43/15.84 end
% 15.43/15.84 permutation0:
% 15.43/15.84 0 ==> 0
% 15.43/15.84 1 ==> 1
% 15.43/15.84 end
% 15.43/15.84
% 15.43/15.84 subsumption: (7) {G0,W10,D2,L2,V4,M2} I { ! perp( X, Y, Z, T ), perp( Z, T
% 15.43/15.84 , X, Y ) }.
% 15.43/15.84 parent0: (53270) {G0,W10,D2,L2,V4,M2} { ! perp( X, Y, Z, T ), perp( Z, T,
% 15.43/15.84 X, Y ) }.
% 15.43/15.84 substitution0:
% 15.43/15.84 X := X
% 15.43/15.84 Y := Y
% 15.43/15.84 Z := Z
% 15.43/15.84 T := T
% 15.43/15.84 end
% 15.43/15.84 permutation0:
% 15.43/15.84 0 ==> 0
% 15.43/15.84 1 ==> 1
% 15.43/15.84 end
% 15.43/15.84
% 15.43/15.84 subsumption: (8) {G0,W15,D2,L3,V6,M3} I { ! perp( X, Y, U, W ), ! perp( U,
% 15.43/15.84 W, Z, T ), para( X, Y, Z, T ) }.
% 15.43/15.84 parent0: (53271) {G0,W15,D2,L3,V6,M3} { ! perp( X, Y, U, W ), ! perp( U, W
% 15.43/15.84 , Z, T ), para( X, Y, Z, T ) }.
% 15.43/15.84 substitution0:
% 15.43/15.84 X := X
% 15.43/15.84 Y := Y
% 15.43/15.84 Z := Z
% 15.43/15.84 T := T
% 15.43/15.84 U := U
% 15.43/15.84 W := W
% 15.43/15.84 end
% 15.43/15.84 permutation0:
% 15.43/15.84 0 ==> 0
% 15.43/15.84 1 ==> 1
% 15.43/15.84 2 ==> 2
% 15.43/15.84 end
% 15.43/15.84
% 15.43/15.84 subsumption: (13) {G0,W10,D2,L2,V4,M2} I { ! cyclic( X, Y, Z, T ), cyclic(
% 15.43/15.84 X, Y, T, Z ) }.
% 15.43/15.84 parent0: (53276) {G0,W10,D2,L2,V4,M2} { ! cyclic( X, Y, Z, T ), cyclic( X
% 15.43/15.84 , Y, T, Z ) }.
% 15.43/15.84 substitution0:
% 15.43/15.84 X := X
% 15.43/15.84 Y := Y
% 15.43/15.84 Z := Z
% 15.43/15.84 T := T
% 15.43/15.84 end
% 15.43/15.84 permutation0:
% 15.43/15.84 0 ==> 0
% 15.43/15.84 1 ==> 1
% 15.43/15.84 end
% 15.43/15.84
% 15.43/15.84 subsumption: (14) {G0,W10,D2,L2,V4,M2} I { ! cyclic( X, Y, Z, T ), cyclic(
% 15.43/15.84 X, Z, Y, T ) }.
% 15.43/15.84 parent0: (53277) {G0,W10,D2,L2,V4,M2} { ! cyclic( X, Y, Z, T ), cyclic( X
% 15.43/15.84 , Z, Y, T ) }.
% 15.43/15.84 substitution0:
% 15.43/15.84 X := X
% 15.43/15.84 Y := Y
% 15.43/15.84 Z := Z
% 15.43/15.84 T := T
% 15.43/15.84 end
% 15.43/15.84 permutation0:
% 15.43/15.84 0 ==> 0
% 15.43/15.84 1 ==> 1
% 15.43/15.84 end
% 15.43/15.84
% 15.43/15.84 subsumption: (15) {G0,W10,D2,L2,V4,M2} I { ! cyclic( X, Y, Z, T ), cyclic(
% 15.43/15.84 Y, X, Z, T ) }.
% 15.43/15.84 parent0: (53278) {G0,W10,D2,L2,V4,M2} { ! cyclic( X, Y, Z, T ), cyclic( Y
% 15.43/15.84 , X, Z, T ) }.
% 15.43/15.84 substitution0:
% 15.43/15.84 X := X
% 15.43/15.84 Y := Y
% 15.43/15.84 Z := Z
% 15.43/15.84 T := T
% 15.43/15.84 end
% 15.43/15.84 permutation0:
% 15.43/15.84 0 ==> 0
% 15.43/15.84 1 ==> 1
% 15.43/15.84 end
% 15.43/15.84
% 15.43/15.84 subsumption: (16) {G0,W15,D2,L3,V5,M3} I { ! cyclic( U, X, Y, Z ), ! cyclic
% 15.43/15.84 ( U, X, Y, T ), cyclic( X, Y, Z, T ) }.
% 15.43/15.84 parent0: (53279) {G0,W15,D2,L3,V5,M3} { ! cyclic( U, X, Y, Z ), ! cyclic(
% 15.43/15.84 U, X, Y, T ), cyclic( X, Y, Z, T ) }.
% 15.43/15.84 substitution0:
% 15.43/15.84 X := X
% 15.43/15.84 Y := Y
% 15.43/15.84 Z := Z
% 15.43/15.84 T := T
% 15.43/15.84 U := U
% 15.43/15.84 end
% 15.43/15.84 permutation0:
% 15.43/15.84 0 ==> 0
% 15.43/15.84 1 ==> 1
% 15.43/15.84 2 ==> 2
% 15.43/15.84 end
% 15.43/15.84
% 15.43/15.84 subsumption: (17) {G0,W18,D2,L2,V8,M2} I { ! eqangle( X, Y, Z, T, U, W, V0
% 15.43/15.84 , V1 ), eqangle( Y, X, Z, T, U, W, V0, V1 ) }.
% 15.43/15.84 parent0: (53280) {G0,W18,D2,L2,V8,M2} { ! eqangle( X, Y, Z, T, U, W, V0,
% 15.43/15.84 V1 ), eqangle( Y, X, Z, T, U, W, V0, V1 ) }.
% 15.43/15.84 substitution0:
% 15.43/15.84 X := X
% 15.43/15.84 Y := Y
% 15.43/15.84 Z := Z
% 15.43/15.84 T := T
% 15.43/15.84 U := U
% 15.43/15.84 W := W
% 15.43/15.84 V0 := V0
% 15.43/15.84 V1 := V1
% 15.43/15.84 end
% 15.43/15.84 permutation0:
% 15.43/15.84 0 ==> 0
% 15.43/15.84 1 ==> 1
% 15.43/15.84 end
% 15.43/15.84
% 15.43/15.84 subsumption: (18) {G0,W18,D2,L2,V8,M2} I { ! eqangle( X, Y, Z, T, U, W, V0
% 15.43/15.84 , V1 ), eqangle( Z, T, X, Y, V0, V1, U, W ) }.
% 15.43/15.84 parent0: (53281) {G0,W18,D2,L2,V8,M2} { ! eqangle( X, Y, Z, T, U, W, V0,
% 15.43/15.84 V1 ), eqangle( Z, T, X, Y, V0, V1, U, W ) }.
% 15.43/15.84 substitution0:
% 15.43/15.84 X := X
% 15.43/15.84 Y := Y
% 15.43/15.84 Z := Z
% 15.43/15.84 T := T
% 15.43/15.84 U := U
% 15.43/15.84 W := W
% 15.43/15.84 V0 := V0
% 15.43/15.84 V1 := V1
% 15.43/15.84 end
% 15.43/15.84 permutation0:
% 15.43/15.84 0 ==> 0
% 15.43/15.84 1 ==> 1
% 15.43/15.84 end
% 15.43/15.84
% 15.43/15.84 subsumption: (19) {G0,W18,D2,L2,V8,M2} I { ! eqangle( X, Y, Z, T, U, W, V0
% 15.43/15.84 , V1 ), eqangle( U, W, V0, V1, X, Y, Z, T ) }.
% 15.43/15.84 parent0: (53282) {G0,W18,D2,L2,V8,M2} { ! eqangle( X, Y, Z, T, U, W, V0,
% 15.43/15.84 V1 ), eqangle( U, W, V0, V1, X, Y, Z, T ) }.
% 15.43/15.84 substitution0:
% 15.43/15.84 X := X
% 15.43/15.84 Y := Y
% 15.43/15.84 Z := Z
% 15.43/15.84 T := T
% 15.43/15.84 U := U
% 15.43/15.84 W := W
% 15.43/15.84 V0 := V0
% 15.43/15.84 V1 := V1
% 15.43/15.84 end
% 15.43/15.84 permutation0:
% 15.43/15.84 0 ==> 0
% 15.43/15.84 1 ==> 1
% 15.43/15.84 end
% 15.43/15.84
% 15.43/15.84 subsumption: (20) {G0,W18,D2,L2,V8,M2} I { ! eqangle( X, Y, Z, T, U, W, V0
% 15.43/15.84 , V1 ), eqangle( X, Y, U, W, Z, T, V0, V1 ) }.
% 15.43/15.84 parent0: (53283) {G0,W18,D2,L2,V8,M2} { ! eqangle( X, Y, Z, T, U, W, V0,
% 15.43/15.84 V1 ), eqangle( X, Y, U, W, Z, T, V0, V1 ) }.
% 15.43/15.84 substitution0:
% 15.43/15.84 X := X
% 15.43/15.84 Y := Y
% 15.43/15.84 Z := Z
% 15.43/15.84 T := T
% 15.43/15.84 U := U
% 15.43/15.84 W := W
% 15.43/15.84 V0 := V0
% 15.43/15.84 V1 := V1
% 15.43/15.84 end
% 15.43/15.84 permutation0:
% 15.43/15.84 0 ==> 0
% 15.43/15.84 1 ==> 1
% 15.43/15.84 end
% 15.43/15.84
% 15.43/15.84 subsumption: (21) {G0,W27,D2,L3,V12,M3} I { ! eqangle( X, Y, Z, T, V2, V3,
% 15.43/15.84 V4, V5 ), ! eqangle( V2, V3, V4, V5, U, W, V0, V1 ), eqangle( X, Y, Z, T
% 15.43/15.84 , U, W, V0, V1 ) }.
% 15.43/15.84 parent0: (53284) {G0,W27,D2,L3,V12,M3} { ! eqangle( X, Y, Z, T, V2, V3, V4
% 15.43/15.84 , V5 ), ! eqangle( V2, V3, V4, V5, U, W, V0, V1 ), eqangle( X, Y, Z, T, U
% 15.43/15.84 , W, V0, V1 ) }.
% 15.43/15.84 substitution0:
% 15.43/15.84 X := X
% 15.43/15.84 Y := Y
% 15.43/15.84 Z := Z
% 15.43/15.84 T := T
% 15.43/15.84 U := U
% 15.43/15.84 W := W
% 15.43/15.84 V0 := V0
% 15.43/15.84 V1 := V1
% 15.43/15.84 V2 := V2
% 15.43/15.84 V3 := V3
% 15.43/15.84 V4 := V4
% 15.43/15.84 V5 := V5
% 15.43/15.84 end
% 15.43/15.84 permutation0:
% 15.43/15.84 0 ==> 0
% 15.43/15.84 1 ==> 1
% 15.43/15.84 2 ==> 2
% 15.43/15.84 end
% 15.43/15.84
% 15.43/15.84 subsumption: (39) {G0,W14,D2,L2,V6,M2} I { ! para( X, Y, Z, T ), eqangle( X
% 15.43/15.84 , Y, U, W, Z, T, U, W ) }.
% 15.43/15.84 parent0: (53302) {G0,W14,D2,L2,V6,M2} { ! para( X, Y, Z, T ), eqangle( X,
% 15.43/15.84 Y, U, W, Z, T, U, W ) }.
% 15.43/15.84 substitution0:
% 15.43/15.84 X := X
% 15.43/15.84 Y := Y
% 15.43/15.84 Z := Z
% 15.43/15.84 T := T
% 15.43/15.84 U := U
% 15.43/15.84 W := W
% 15.43/15.84 end
% 15.43/15.84 permutation0:
% 15.43/15.84 0 ==> 0
% 15.43/15.84 1 ==> 1
% 15.43/15.84 end
% 15.43/15.84
% 15.43/15.84 subsumption: (40) {G0,W14,D2,L2,V4,M2} I { ! cyclic( X, Y, Z, T ), eqangle
% 15.43/15.84 ( Z, X, Z, Y, T, X, T, Y ) }.
% 15.43/15.84 parent0: (53303) {G0,W14,D2,L2,V4,M2} { ! cyclic( X, Y, Z, T ), eqangle( Z
% 15.43/15.84 , X, Z, Y, T, X, T, Y ) }.
% 15.43/15.84 substitution0:
% 15.43/15.84 X := X
% 15.43/15.84 Y := Y
% 15.43/15.84 Z := Z
% 15.43/15.84 T := T
% 15.43/15.84 end
% 15.43/15.84 permutation0:
% 15.43/15.84 0 ==> 0
% 15.43/15.84 1 ==> 1
% 15.43/15.84 end
% 15.43/15.84
% 15.43/15.84 subsumption: (42) {G0,W18,D2,L3,V4,M3} I { ! eqangle( Z, X, Z, Y, T, X, T,
% 15.43/15.84 Y ), ! coll( Z, T, Y ), cyclic( X, Y, Z, T ) }.
% 15.43/15.84 parent0: (53305) {G0,W18,D2,L3,V4,M3} { ! eqangle( Z, X, Z, Y, T, X, T, Y
% 15.43/15.84 ), ! coll( Z, T, Y ), cyclic( X, Y, Z, T ) }.
% 15.43/15.84 substitution0:
% 15.43/15.84 X := X
% 15.43/15.84 Y := Y
% 15.43/15.84 Z := Z
% 15.43/15.84 T := T
% 15.43/15.84 end
% 15.43/15.84 permutation0:
% 15.43/15.84 0 ==> 0
% 15.43/15.84 1 ==> 1
% 15.43/15.84 2 ==> 2
% 15.43/15.84 end
% 15.43/15.84
% 15.43/15.84 subsumption: (43) {G0,W29,D2,L5,V6,M5} I { ! cyclic( X, Y, U, Z ), ! cyclic
% 15.43/15.84 ( X, Y, U, T ), ! cyclic( X, Y, U, W ), ! eqangle( U, X, U, Y, W, Z, W, T
% 15.43/15.84 ), cong( X, Y, Z, T ) }.
% 15.43/15.84 parent0: (53306) {G0,W29,D2,L5,V6,M5} { ! cyclic( X, Y, U, Z ), ! cyclic(
% 15.43/15.84 X, Y, U, T ), ! cyclic( X, Y, U, W ), ! eqangle( U, X, U, Y, W, Z, W, T )
% 15.43/15.84 , cong( X, Y, Z, T ) }.
% 15.43/15.84 substitution0:
% 15.43/15.84 X := X
% 15.43/15.84 Y := Y
% 15.43/15.84 Z := Z
% 15.43/15.84 T := T
% 15.43/15.84 U := U
% 15.43/15.84 W := W
% 15.43/15.84 end
% 15.43/15.84 permutation0:
% 15.43/15.84 0 ==> 0
% 15.43/15.84 1 ==> 1
% 15.43/15.84 2 ==> 2
% 15.43/15.84 3 ==> 3
% 15.43/15.84 4 ==> 4
% 15.43/15.84 end
% 15.43/15.84
% 15.43/15.84 subsumption: (56) {G0,W15,D2,L3,V4,M3} I { ! cong( X, Z, Y, Z ), ! cong( X
% 15.43/15.84 , T, Y, T ), perp( X, Y, Z, T ) }.
% 15.43/15.84 parent0: (53319) {G0,W15,D2,L3,V4,M3} { ! cong( X, Z, Y, Z ), ! cong( X, T
% 15.43/15.84 , Y, T ), perp( X, Y, Z, T ) }.
% 15.43/15.84 substitution0:
% 15.43/15.84 X := X
% 15.43/15.84 Y := Y
% 15.43/15.84 Z := Z
% 15.43/15.84 T := T
% 15.43/15.84 end
% 15.43/15.84 permutation0:
% 15.43/15.84 0 ==> 0
% 15.43/15.84 1 ==> 1
% 15.43/15.84 2 ==> 2
% 15.43/15.84 end
% 15.43/15.84
% 15.43/15.84 subsumption: (119) {G0,W5,D2,L1,V0,M1} I { perp( skol28, skol26, skol20,
% 15.43/15.84 skol24 ) }.
% 15.43/15.84 parent0: (53383) {G0,W5,D2,L1,V0,M1} { perp( skol28, skol26, skol20,
% 15.43/15.84 skol24 ) }.
% 15.43/15.84 substitution0:
% 15.43/15.84 end
% 15.43/15.84 permutation0:
% 15.43/15.84 0 ==> 0
% 15.43/15.84 end
% 15.43/15.84
% 15.43/15.84 subsumption: (123) {G0,W4,D2,L1,V0,M1} I { coll( skol31, skol26, skol28 )
% 15.43/15.84 }.
% 15.43/15.84 parent0: (53387) {G0,W4,D2,L1,V0,M1} { coll( skol31, skol26, skol28 ) }.
% 15.43/15.84 substitution0:
% 15.43/15.84 end
% 15.43/15.84 permutation0:
% 15.43/15.84 0 ==> 0
% 15.43/15.84 end
% 15.43/15.84
% 15.43/15.84 subsumption: (129) {G0,W9,D2,L1,V0,M1} I { ! eqangle( skol20, skol23,
% 15.43/15.84 skol23, skol22, skol23, skol22, skol22, skol20 ) }.
% 15.43/15.84 parent0: (53393) {G0,W9,D2,L1,V0,M1} { ! eqangle( skol20, skol23, skol23,
% 15.43/15.84 skol22, skol23, skol22, skol22, skol20 ) }.
% 15.43/15.84 substitution0:
% 15.43/15.84 end
% 15.43/15.84 permutation0:
% 15.43/15.84 0 ==> 0
% 15.43/15.84 end
% 15.43/15.84
% 15.43/15.84 resolution: (53718) {G1,W4,D2,L1,V0,M1} { coll( skol31, skol28, skol26 )
% 15.43/15.84 }.
% 15.43/15.84 parent0[0]: (0) {G0,W8,D2,L2,V3,M2} I { ! coll( X, Y, Z ), coll( X, Z, Y )
% 15.43/15.84 }.
% 15.43/15.84 parent1[0]: (123) {G0,W4,D2,L1,V0,M1} I { coll( skol31, skol26, skol28 )
% 15.43/15.84 }.
% 15.43/15.84 substitution0:
% 15.43/15.84 X := skol31
% 15.43/15.84 Y := skol26
% 15.43/15.84 Z := skol28
% 15.43/15.84 end
% 15.43/15.84 substitution1:
% 15.43/15.84 end
% 15.43/15.84
% 15.43/15.84 subsumption: (167) {G1,W4,D2,L1,V0,M1} R(0,123) { coll( skol31, skol28,
% 15.43/15.84 skol26 ) }.
% 15.43/15.84 parent0: (53718) {G1,W4,D2,L1,V0,M1} { coll( skol31, skol28, skol26 ) }.
% 15.43/15.84 substitution0:
% 15.43/15.84 end
% 15.43/15.84 permutation0:
% 15.43/15.84 0 ==> 0
% 15.43/15.84 end
% 15.43/15.84
% 15.43/15.84 resolution: (53719) {G1,W4,D2,L1,V0,M1} { coll( skol28, skol31, skol26 )
% 15.43/15.84 }.
% 15.43/15.84 parent0[0]: (1) {G0,W8,D2,L2,V3,M2} I { ! coll( X, Y, Z ), coll( Y, X, Z )
% 15.43/15.84 }.
% 15.43/15.84 parent1[0]: (167) {G1,W4,D2,L1,V0,M1} R(0,123) { coll( skol31, skol28,
% 15.43/15.84 skol26 ) }.
% 15.43/15.84 substitution0:
% 15.43/15.84 X := skol31
% 15.43/15.84 Y := skol28
% 15.43/15.84 Z := skol26
% 15.43/15.84 end
% 15.43/15.84 substitution1:
% 15.43/15.84 end
% 15.43/15.84
% 15.43/15.84 subsumption: (175) {G2,W4,D2,L1,V0,M1} R(1,167) { coll( skol28, skol31,
% 15.43/15.84 skol26 ) }.
% 15.43/15.84 parent0: (53719) {G1,W4,D2,L1,V0,M1} { coll( skol28, skol31, skol26 ) }.
% 15.43/15.84 substitution0:
% 15.43/15.84 end
% 15.43/15.84 permutation0:
% 15.43/15.84 0 ==> 0
% 15.43/15.84 end
% 15.43/15.84
% 15.43/15.84 resolution: (53723) {G1,W12,D2,L3,V4,M3} { coll( X, Z, Y ), ! coll( Z, T,
% 15.43/15.84 X ), ! coll( Z, T, Y ) }.
% 15.43/15.84 parent0[0]: (0) {G0,W8,D2,L2,V3,M2} I { ! coll( X, Y, Z ), coll( X, Z, Y )
% 15.43/15.84 }.
% 15.43/15.84 parent1[2]: (2) {G0,W12,D2,L3,V4,M3} I { ! coll( X, T, Y ), ! coll( X, T, Z
% 15.43/15.84 ), coll( Y, Z, X ) }.
% 15.43/15.84 substitution0:
% 15.43/15.84 X := X
% 15.43/15.84 Y := Y
% 15.43/15.84 Z := Z
% 15.43/15.84 end
% 15.43/15.84 substitution1:
% 15.43/15.84 X := Z
% 15.43/15.84 Y := X
% 15.43/15.84 Z := Y
% 15.43/15.84 T := T
% 15.43/15.84 end
% 15.43/15.84
% 15.43/15.84 subsumption: (208) {G1,W12,D2,L3,V4,M3} R(2,0) { ! coll( X, Y, Z ), ! coll
% 15.43/15.84 ( X, Y, T ), coll( Z, X, T ) }.
% 15.43/15.84 parent0: (53723) {G1,W12,D2,L3,V4,M3} { coll( X, Z, Y ), ! coll( Z, T, X )
% 15.43/15.84 , ! coll( Z, T, Y ) }.
% 15.43/15.84 substitution0:
% 15.43/15.84 X := Z
% 15.43/15.84 Y := T
% 15.43/15.84 Z := X
% 15.43/15.84 T := Y
% 15.43/15.84 end
% 15.43/15.84 permutation0:
% 15.43/15.84 0 ==> 2
% 15.43/15.84 1 ==> 0
% 15.43/15.84 2 ==> 1
% 15.43/15.84 end
% 15.43/15.84
% 15.43/15.84 factor: (53725) {G1,W8,D2,L2,V3,M2} { ! coll( X, Y, Z ), coll( Z, X, Z )
% 15.43/15.84 }.
% 15.43/15.84 parent0[0, 1]: (208) {G1,W12,D2,L3,V4,M3} R(2,0) { ! coll( X, Y, Z ), !
% 15.43/15.84 coll( X, Y, T ), coll( Z, X, T ) }.
% 15.43/15.84 substitution0:
% 15.43/15.84 X := X
% 15.43/15.84 Y := Y
% 15.43/15.84 Z := Z
% 15.43/15.84 T := Z
% 15.43/15.84 end
% 15.43/15.84
% 15.43/15.84 subsumption: (219) {G2,W8,D2,L2,V3,M2} F(208) { ! coll( X, Y, Z ), coll( Z
% 15.43/15.84 , X, Z ) }.
% 15.43/15.84 parent0: (53725) {G1,W8,D2,L2,V3,M2} { ! coll( X, Y, Z ), coll( Z, X, Z )
% 15.43/15.84 }.
% 15.43/15.84 substitution0:
% 15.43/15.84 X := X
% 15.43/15.84 Y := Y
% 15.43/15.84 Z := Z
% 15.43/15.84 end
% 15.43/15.84 permutation0:
% 15.43/15.84 0 ==> 0
% 15.43/15.84 1 ==> 1
% 15.43/15.84 end
% 15.43/15.84
% 15.43/15.84 resolution: (53726) {G1,W15,D2,L3,V6,M3} { ! perp( Z, T, U, W ), para( X,
% 15.43/15.84 Y, U, W ), ! perp( Z, T, X, Y ) }.
% 15.43/15.84 parent0[0]: (8) {G0,W15,D2,L3,V6,M3} I { ! perp( X, Y, U, W ), ! perp( U, W
% 15.43/15.84 , Z, T ), para( X, Y, Z, T ) }.
% 15.43/15.84 parent1[1]: (7) {G0,W10,D2,L2,V4,M2} I { ! perp( X, Y, Z, T ), perp( Z, T,
% 15.43/15.84 X, Y ) }.
% 15.43/15.84 substitution0:
% 15.43/15.84 X := X
% 15.43/15.84 Y := Y
% 15.43/15.84 Z := U
% 15.43/15.84 T := W
% 15.43/15.84 U := Z
% 15.43/15.84 W := T
% 15.43/15.84 end
% 15.43/15.84 substitution1:
% 15.43/15.84 X := Z
% 15.43/15.84 Y := T
% 15.43/15.84 Z := X
% 15.43/15.84 T := Y
% 15.43/15.84 end
% 15.43/15.84
% 15.43/15.84 subsumption: (297) {G1,W15,D2,L3,V6,M3} R(8,7) { ! perp( X, Y, Z, T ), para
% 15.43/15.84 ( U, W, Z, T ), ! perp( X, Y, U, W ) }.
% 15.43/15.84 parent0: (53726) {G1,W15,D2,L3,V6,M3} { ! perp( Z, T, U, W ), para( X, Y,
% 15.43/15.84 U, W ), ! perp( Z, T, X, Y ) }.
% 15.43/15.84 substitution0:
% 15.43/15.84 X := U
% 15.43/15.84 Y := W
% 15.43/15.84 Z := X
% 15.43/15.84 T := Y
% 15.43/15.84 U := Z
% 15.43/15.84 W := T
% 15.43/15.84 end
% 15.43/15.84 permutation0:
% 15.43/15.84 0 ==> 0
% 15.43/15.84 1 ==> 1
% 15.43/15.84 2 ==> 2
% 15.43/15.84 end
% 15.43/15.84
% 15.43/15.84 resolution: (53731) {G1,W15,D2,L3,V6,M3} { ! perp( X, Y, Z, T ), para( X,
% 15.43/15.84 Y, U, W ), ! perp( U, W, Z, T ) }.
% 15.43/15.84 parent0[1]: (8) {G0,W15,D2,L3,V6,M3} I { ! perp( X, Y, U, W ), ! perp( U, W
% 15.43/15.84 , Z, T ), para( X, Y, Z, T ) }.
% 15.43/15.84 parent1[1]: (7) {G0,W10,D2,L2,V4,M2} I { ! perp( X, Y, Z, T ), perp( Z, T,
% 15.43/15.84 X, Y ) }.
% 15.43/15.84 substitution0:
% 15.43/15.84 X := X
% 15.43/15.84 Y := Y
% 15.43/15.84 Z := U
% 15.43/15.84 T := W
% 15.43/15.84 U := Z
% 15.43/15.84 W := T
% 15.43/15.84 end
% 15.43/15.84 substitution1:
% 15.43/15.84 X := U
% 15.43/15.84 Y := W
% 15.43/15.84 Z := Z
% 15.43/15.84 T := T
% 15.43/15.84 end
% 15.43/15.84
% 15.43/15.84 subsumption: (298) {G1,W15,D2,L3,V6,M3} R(8,7) { ! perp( X, Y, Z, T ), para
% 15.43/15.84 ( X, Y, U, W ), ! perp( U, W, Z, T ) }.
% 15.43/15.84 parent0: (53731) {G1,W15,D2,L3,V6,M3} { ! perp( X, Y, Z, T ), para( X, Y,
% 15.43/15.84 U, W ), ! perp( U, W, Z, T ) }.
% 15.43/15.84 substitution0:
% 15.43/15.84 X := X
% 15.43/15.84 Y := Y
% 15.43/15.84 Z := Z
% 15.43/15.84 T := T
% 15.43/15.84 U := U
% 15.43/15.84 W := W
% 15.43/15.84 end
% 15.43/15.84 permutation0:
% 15.43/15.84 0 ==> 0
% 15.43/15.84 1 ==> 1
% 15.43/15.84 2 ==> 2
% 15.43/15.84 end
% 15.43/15.84
% 15.43/15.84 factor: (53734) {G1,W10,D2,L2,V4,M2} { ! perp( X, Y, Z, T ), para( X, Y, X
% 15.43/15.84 , Y ) }.
% 15.43/15.84 parent0[0, 2]: (298) {G1,W15,D2,L3,V6,M3} R(8,7) { ! perp( X, Y, Z, T ),
% 15.43/15.84 para( X, Y, U, W ), ! perp( U, W, Z, T ) }.
% 15.43/15.84 substitution0:
% 15.43/15.84 X := X
% 15.43/15.84 Y := Y
% 15.43/15.84 Z := Z
% 15.43/15.84 T := T
% 15.43/15.84 U := X
% 15.43/15.84 W := Y
% 15.43/15.84 end
% 15.43/15.84
% 15.43/15.84 subsumption: (306) {G2,W10,D2,L2,V4,M2} F(298) { ! perp( X, Y, Z, T ), para
% 15.43/15.84 ( X, Y, X, Y ) }.
% 15.43/15.84 parent0: (53734) {G1,W10,D2,L2,V4,M2} { ! perp( X, Y, Z, T ), para( X, Y,
% 15.43/15.84 X, Y ) }.
% 15.43/15.84 substitution0:
% 15.43/15.84 X := X
% 15.43/15.84 Y := Y
% 15.43/15.84 Z := Z
% 15.43/15.84 T := T
% 15.43/15.84 end
% 15.43/15.84 permutation0:
% 15.43/15.84 0 ==> 0
% 15.43/15.84 1 ==> 1
% 15.43/15.84 end
% 15.43/15.84
% 15.43/15.84 resolution: (53735) {G1,W5,D2,L1,V0,M1} { perp( skol20, skol24, skol28,
% 15.43/15.84 skol26 ) }.
% 15.43/15.84 parent0[0]: (7) {G0,W10,D2,L2,V4,M2} I { ! perp( X, Y, Z, T ), perp( Z, T,
% 15.43/15.84 X, Y ) }.
% 15.43/15.84 parent1[0]: (119) {G0,W5,D2,L1,V0,M1} I { perp( skol28, skol26, skol20,
% 15.43/15.84 skol24 ) }.
% 15.43/15.84 substitution0:
% 15.43/15.84 X := skol28
% 15.43/15.84 Y := skol26
% 15.43/15.84 Z := skol20
% 15.43/15.84 T := skol24
% 15.43/15.84 end
% 15.43/15.84 substitution1:
% 15.43/15.84 end
% 15.43/15.84
% 15.43/15.84 subsumption: (349) {G1,W5,D2,L1,V0,M1} R(119,7) { perp( skol20, skol24,
% 15.43/15.84 skol28, skol26 ) }.
% 15.43/15.84 parent0: (53735) {G1,W5,D2,L1,V0,M1} { perp( skol20, skol24, skol28,
% 15.43/15.84 skol26 ) }.
% 15.43/15.84 substitution0:
% 15.43/15.84 end
% 15.43/15.84 permutation0:
% 15.43/15.84 0 ==> 0
% 15.43/15.84 end
% 15.43/15.84
% 15.43/15.84 resolution: (53736) {G1,W5,D2,L1,V0,M1} { perp( skol20, skol24, skol26,
% 15.43/15.84 skol28 ) }.
% 15.43/15.84 parent0[0]: (6) {G0,W10,D2,L2,V4,M2} I { ! perp( X, Y, Z, T ), perp( X, Y,
% 15.43/15.84 T, Z ) }.
% 15.43/15.84 parent1[0]: (349) {G1,W5,D2,L1,V0,M1} R(119,7) { perp( skol20, skol24,
% 15.43/15.84 skol28, skol26 ) }.
% 15.43/15.84 substitution0:
% 15.43/15.84 X := skol20
% 15.43/15.84 Y := skol24
% 15.43/15.84 Z := skol28
% 15.43/15.84 T := skol26
% 15.43/15.84 end
% 15.43/15.84 substitution1:
% 15.43/15.84 end
% 15.43/15.84
% 15.43/15.84 subsumption: (354) {G2,W5,D2,L1,V0,M1} R(349,6) { perp( skol20, skol24,
% 15.43/15.84 skol26, skol28 ) }.
% 15.43/15.84 parent0: (53736) {G1,W5,D2,L1,V0,M1} { perp( skol20, skol24, skol26,
% 15.43/15.84 skol28 ) }.
% 15.43/15.84 substitution0:
% 15.43/15.84 end
% 15.43/15.84 permutation0:
% 15.43/15.84 0 ==> 0
% 15.43/15.84 end
% 15.43/15.84
% 15.43/15.84 resolution: (53737) {G1,W5,D2,L1,V0,M1} { perp( skol26, skol28, skol20,
% 15.43/15.84 skol24 ) }.
% 15.43/15.84 parent0[0]: (7) {G0,W10,D2,L2,V4,M2} I { ! perp( X, Y, Z, T ), perp( Z, T,
% 15.43/15.84 X, Y ) }.
% 15.43/15.84 parent1[0]: (354) {G2,W5,D2,L1,V0,M1} R(349,6) { perp( skol20, skol24,
% 15.43/15.84 skol26, skol28 ) }.
% 15.43/15.84 substitution0:
% 15.43/15.84 X := skol20
% 15.43/15.84 Y := skol24
% 15.43/15.84 Z := skol26
% 15.43/15.84 T := skol28
% 15.43/15.84 end
% 15.43/15.84 substitution1:
% 15.43/15.84 end
% 15.43/15.84
% 15.43/15.84 subsumption: (358) {G3,W5,D2,L1,V0,M1} R(354,7) { perp( skol26, skol28,
% 15.43/15.84 skol20, skol24 ) }.
% 15.43/15.84 parent0: (53737) {G1,W5,D2,L1,V0,M1} { perp( skol26, skol28, skol20,
% 15.43/15.84 skol24 ) }.
% 15.43/15.84 substitution0:
% 15.43/15.84 end
% 15.43/15.84 permutation0:
% 15.43/15.84 0 ==> 0
% 15.43/15.84 end
% 15.43/15.84
% 15.43/15.84 resolution: (53738) {G1,W5,D2,L1,V0,M1} { perp( skol26, skol28, skol24,
% 15.43/15.84 skol20 ) }.
% 15.43/15.84 parent0[0]: (6) {G0,W10,D2,L2,V4,M2} I { ! perp( X, Y, Z, T ), perp( X, Y,
% 15.43/15.84 T, Z ) }.
% 15.43/15.84 parent1[0]: (358) {G3,W5,D2,L1,V0,M1} R(354,7) { perp( skol26, skol28,
% 15.43/15.84 skol20, skol24 ) }.
% 15.43/15.84 substitution0:
% 15.43/15.84 X := skol26
% 15.43/15.84 Y := skol28
% 15.43/15.84 Z := skol20
% 15.43/15.84 T := skol24
% 15.43/15.84 end
% 15.43/15.84 substitution1:
% 15.43/15.84 end
% 15.43/15.84
% 15.43/15.84 subsumption: (362) {G4,W5,D2,L1,V0,M1} R(358,6) { perp( skol26, skol28,
% 15.43/15.84 skol24, skol20 ) }.
% 15.43/15.84 parent0: (53738) {G1,W5,D2,L1,V0,M1} { perp( skol26, skol28, skol24,
% 15.43/15.84 skol20 ) }.
% 15.43/15.84 substitution0:
% 15.43/15.84 end
% 15.43/15.84 permutation0:
% 15.43/15.84 0 ==> 0
% 15.43/15.84 end
% 15.43/15.84
% 15.43/15.84 resolution: (53740) {G1,W10,D2,L2,V4,M2} { cyclic( X, Y, T, Z ), ! cyclic
% 15.43/15.84 ( X, Z, Y, T ) }.
% 15.43/15.84 parent0[0]: (13) {G0,W10,D2,L2,V4,M2} I { ! cyclic( X, Y, Z, T ), cyclic( X
% 15.43/15.84 , Y, T, Z ) }.
% 15.43/15.84 parent1[1]: (14) {G0,W10,D2,L2,V4,M2} I { ! cyclic( X, Y, Z, T ), cyclic( X
% 15.43/15.84 , Z, Y, T ) }.
% 15.43/15.84 substitution0:
% 15.43/15.84 X := X
% 15.43/15.84 Y := Y
% 15.43/15.84 Z := Z
% 15.43/15.84 T := T
% 15.43/15.84 end
% 15.43/15.84 substitution1:
% 15.43/15.84 X := X
% 15.43/15.84 Y := Z
% 15.43/15.84 Z := Y
% 15.43/15.84 T := T
% 15.43/15.84 end
% 15.43/15.84
% 15.43/15.84 subsumption: (391) {G1,W10,D2,L2,V4,M2} R(14,13) { ! cyclic( X, Y, Z, T ),
% 15.43/15.84 cyclic( X, Z, T, Y ) }.
% 15.43/15.84 parent0: (53740) {G1,W10,D2,L2,V4,M2} { cyclic( X, Y, T, Z ), ! cyclic( X
% 15.43/15.84 , Z, Y, T ) }.
% 15.43/15.84 substitution0:
% 15.43/15.84 X := X
% 15.43/15.84 Y := Z
% 15.43/15.84 Z := Y
% 15.43/15.84 T := T
% 15.43/15.84 end
% 15.43/15.84 permutation0:
% 15.43/15.84 0 ==> 1
% 15.43/15.84 1 ==> 0
% 15.43/15.84 end
% 15.43/15.84
% 15.43/15.84 resolution: (53741) {G1,W10,D2,L2,V4,M2} { cyclic( Y, X, Z, T ), ! cyclic
% 15.43/15.84 ( X, Z, Y, T ) }.
% 15.43/15.84 parent0[0]: (15) {G0,W10,D2,L2,V4,M2} I { ! cyclic( X, Y, Z, T ), cyclic( Y
% 15.43/15.84 , X, Z, T ) }.
% 15.43/15.84 parent1[1]: (14) {G0,W10,D2,L2,V4,M2} I { ! cyclic( X, Y, Z, T ), cyclic( X
% 15.43/15.84 , Z, Y, T ) }.
% 15.43/15.84 substitution0:
% 15.43/15.84 X := X
% 15.43/15.84 Y := Y
% 15.43/15.84 Z := Z
% 15.43/15.84 T := T
% 15.43/15.84 end
% 15.43/15.84 substitution1:
% 15.43/15.84 X := X
% 15.43/15.84 Y := Z
% 15.43/15.84 Z := Y
% 15.43/15.84 T := T
% 15.43/15.84 end
% 15.43/15.84
% 15.43/15.84 subsumption: (407) {G1,W10,D2,L2,V4,M2} R(15,14) { cyclic( X, Y, Z, T ), !
% 15.43/15.84 cyclic( Y, Z, X, T ) }.
% 15.43/15.84 parent0: (53741) {G1,W10,D2,L2,V4,M2} { cyclic( Y, X, Z, T ), ! cyclic( X
% 15.43/15.84 , Z, Y, T ) }.
% 15.43/15.84 substitution0:
% 15.43/15.84 X := Y
% 15.43/15.84 Y := X
% 15.43/15.84 Z := Z
% 15.43/15.84 T := T
% 15.43/15.84 end
% 15.43/15.84 permutation0:
% 15.43/15.84 0 ==> 0
% 15.43/15.84 1 ==> 1
% 15.43/15.84 end
% 15.43/15.84
% 15.43/15.84 resolution: (53742) {G1,W10,D2,L2,V4,M2} { cyclic( Y, X, Z, T ), ! cyclic
% 15.43/15.84 ( X, Y, T, Z ) }.
% 15.43/15.84 parent0[0]: (15) {G0,W10,D2,L2,V4,M2} I { ! cyclic( X, Y, Z, T ), cyclic( Y
% 15.43/15.84 , X, Z, T ) }.
% 15.43/15.84 parent1[1]: (13) {G0,W10,D2,L2,V4,M2} I { ! cyclic( X, Y, Z, T ), cyclic( X
% 15.43/15.84 , Y, T, Z ) }.
% 15.43/15.84 substitution0:
% 15.43/15.84 X := X
% 15.43/15.84 Y := Y
% 15.43/15.84 Z := Z
% 15.43/15.84 T := T
% 15.43/15.84 end
% 15.43/15.84 substitution1:
% 15.43/15.84 X := X
% 15.43/15.84 Y := Y
% 15.43/15.84 Z := T
% 15.43/15.84 T := Z
% 15.43/15.84 end
% 15.43/15.84
% 15.43/15.84 subsumption: (409) {G1,W10,D2,L2,V4,M2} R(15,13) { cyclic( X, Y, Z, T ), !
% 15.43/15.84 cyclic( Y, X, T, Z ) }.
% 15.43/15.84 parent0: (53742) {G1,W10,D2,L2,V4,M2} { cyclic( Y, X, Z, T ), ! cyclic( X
% 15.43/15.84 , Y, T, Z ) }.
% 15.43/15.84 substitution0:
% 15.43/15.84 X := Y
% 15.43/15.84 Y := X
% 15.43/15.84 Z := Z
% 15.43/15.84 T := T
% 15.43/15.84 end
% 15.43/15.84 permutation0:
% 15.43/15.84 0 ==> 0
% 15.43/15.84 1 ==> 1
% 15.43/15.84 end
% 15.43/15.84
% 15.43/15.84 resolution: (53743) {G3,W4,D2,L1,V0,M1} { coll( skol26, skol28, skol26 )
% 15.43/15.84 }.
% 15.43/15.84 parent0[0]: (219) {G2,W8,D2,L2,V3,M2} F(208) { ! coll( X, Y, Z ), coll( Z,
% 15.43/15.84 X, Z ) }.
% 15.43/15.84 parent1[0]: (175) {G2,W4,D2,L1,V0,M1} R(1,167) { coll( skol28, skol31,
% 15.43/15.84 skol26 ) }.
% 15.43/15.84 substitution0:
% 15.43/15.84 X := skol28
% 15.43/15.84 Y := skol31
% 15.43/15.84 Z := skol26
% 15.43/15.84 end
% 15.43/15.84 substitution1:
% 15.43/15.84 end
% 15.43/15.84
% 15.43/15.84 subsumption: (445) {G3,W4,D2,L1,V0,M1} R(219,175) { coll( skol26, skol28,
% 15.43/15.84 skol26 ) }.
% 15.43/15.84 parent0: (53743) {G3,W4,D2,L1,V0,M1} { coll( skol26, skol28, skol26 ) }.
% 15.43/15.84 substitution0:
% 15.43/15.84 end
% 15.43/15.84 permutation0:
% 15.43/15.84 0 ==> 0
% 15.43/15.84 end
% 15.43/15.84
% 15.43/15.84 resolution: (53747) {G1,W15,D2,L3,V5,M3} { cyclic( Y, X, Z, T ), ! cyclic
% 15.43/15.84 ( U, X, Y, Z ), ! cyclic( U, X, Y, T ) }.
% 15.43/15.84 parent0[0]: (15) {G0,W10,D2,L2,V4,M2} I { ! cyclic( X, Y, Z, T ), cyclic( Y
% 15.43/15.84 , X, Z, T ) }.
% 15.43/15.84 parent1[2]: (16) {G0,W15,D2,L3,V5,M3} I { ! cyclic( U, X, Y, Z ), ! cyclic
% 15.43/15.84 ( U, X, Y, T ), cyclic( X, Y, Z, T ) }.
% 15.43/15.84 substitution0:
% 15.43/15.84 X := X
% 15.43/15.84 Y := Y
% 15.43/15.84 Z := Z
% 15.43/15.84 T := T
% 15.43/15.84 end
% 15.43/15.84 substitution1:
% 15.43/15.84 X := X
% 15.43/15.84 Y := Y
% 15.43/15.84 Z := Z
% 15.43/15.84 T := T
% 15.43/15.84 U := U
% 15.43/15.84 end
% 15.43/15.84
% 15.43/15.84 subsumption: (475) {G1,W15,D2,L3,V5,M3} R(16,15) { ! cyclic( X, Y, Z, T ),
% 15.43/15.84 ! cyclic( X, Y, Z, U ), cyclic( Z, Y, T, U ) }.
% 15.43/15.84 parent0: (53747) {G1,W15,D2,L3,V5,M3} { cyclic( Y, X, Z, T ), ! cyclic( U
% 15.43/15.84 , X, Y, Z ), ! cyclic( U, X, Y, T ) }.
% 15.43/15.84 substitution0:
% 15.43/15.84 X := Y
% 15.43/15.84 Y := Z
% 15.43/15.84 Z := T
% 15.43/15.84 T := U
% 15.43/15.84 U := X
% 15.43/15.84 end
% 15.43/15.84 permutation0:
% 15.43/15.84 0 ==> 2
% 15.43/15.84 1 ==> 0
% 15.43/15.84 2 ==> 1
% 15.43/15.84 end
% 15.43/15.84
% 15.43/15.84 resolution: (53750) {G1,W15,D2,L3,V5,M3} { ! cyclic( X, Y, Z, T ), cyclic
% 15.43/15.84 ( Y, Z, T, U ), ! cyclic( X, Y, U, Z ) }.
% 15.43/15.84 parent0[1]: (16) {G0,W15,D2,L3,V5,M3} I { ! cyclic( U, X, Y, Z ), ! cyclic
% 15.43/15.84 ( U, X, Y, T ), cyclic( X, Y, Z, T ) }.
% 15.43/15.84 parent1[1]: (13) {G0,W10,D2,L2,V4,M2} I { ! cyclic( X, Y, Z, T ), cyclic( X
% 15.43/15.84 , Y, T, Z ) }.
% 15.43/15.84 substitution0:
% 15.43/15.84 X := Y
% 15.43/15.84 Y := Z
% 15.43/15.84 Z := T
% 15.43/15.84 T := U
% 15.43/15.84 U := X
% 15.43/15.84 end
% 15.43/15.84 substitution1:
% 15.43/15.84 X := X
% 15.43/15.84 Y := Y
% 15.43/15.84 Z := U
% 15.43/15.84 T := Z
% 15.43/15.84 end
% 15.43/15.84
% 15.43/15.84 subsumption: (480) {G1,W15,D2,L3,V5,M3} R(16,13) { ! cyclic( X, Y, Z, T ),
% 15.43/15.84 cyclic( Y, Z, T, U ), ! cyclic( X, Y, U, Z ) }.
% 15.43/15.84 parent0: (53750) {G1,W15,D2,L3,V5,M3} { ! cyclic( X, Y, Z, T ), cyclic( Y
% 15.43/15.84 , Z, T, U ), ! cyclic( X, Y, U, Z ) }.
% 15.43/15.84 substitution0:
% 15.43/15.84 X := X
% 15.43/15.84 Y := Y
% 15.43/15.84 Z := Z
% 15.43/15.84 T := T
% 15.43/15.84 U := U
% 15.43/15.84 end
% 15.43/15.84 permutation0:
% 15.43/15.84 0 ==> 0
% 15.43/15.84 1 ==> 1
% 15.43/15.84 2 ==> 2
% 15.43/15.84 end
% 15.43/15.84
% 15.43/15.84 factor: (53752) {G1,W10,D2,L2,V4,M2} { ! cyclic( X, Y, Z, T ), cyclic( Z,
% 15.43/15.84 Y, T, T ) }.
% 15.43/15.84 parent0[0, 1]: (475) {G1,W15,D2,L3,V5,M3} R(16,15) { ! cyclic( X, Y, Z, T )
% 15.43/15.84 , ! cyclic( X, Y, Z, U ), cyclic( Z, Y, T, U ) }.
% 15.43/15.84 substitution0:
% 15.43/15.84 X := X
% 15.43/15.84 Y := Y
% 15.43/15.84 Z := Z
% 15.43/15.84 T := T
% 15.43/15.84 U := T
% 15.43/15.84 end
% 15.43/15.84
% 15.43/15.84 subsumption: (484) {G2,W10,D2,L2,V4,M2} F(475) { ! cyclic( X, Y, Z, T ),
% 15.43/15.84 cyclic( Z, Y, T, T ) }.
% 15.43/15.84 parent0: (53752) {G1,W10,D2,L2,V4,M2} { ! cyclic( X, Y, Z, T ), cyclic( Z
% 15.43/15.84 , Y, T, T ) }.
% 15.43/15.84 substitution0:
% 15.43/15.84 X := X
% 15.43/15.84 Y := Y
% 15.43/15.84 Z := Z
% 15.43/15.84 T := T
% 15.43/15.84 end
% 15.43/15.84 permutation0:
% 15.43/15.84 0 ==> 0
% 15.43/15.84 1 ==> 1
% 15.43/15.84 end
% 15.43/15.84
% 15.43/15.84 resolution: (53754) {G1,W18,D2,L2,V8,M2} { eqangle( U, W, V0, V1, X, Y, Z
% 15.43/15.84 , T ), ! eqangle( X, Y, U, W, Z, T, V0, V1 ) }.
% 15.43/15.84 parent0[0]: (19) {G0,W18,D2,L2,V8,M2} I { ! eqangle( X, Y, Z, T, U, W, V0,
% 15.43/15.84 V1 ), eqangle( U, W, V0, V1, X, Y, Z, T ) }.
% 15.43/15.84 parent1[1]: (20) {G0,W18,D2,L2,V8,M2} I { ! eqangle( X, Y, Z, T, U, W, V0,
% 15.43/15.84 V1 ), eqangle( X, Y, U, W, Z, T, V0, V1 ) }.
% 15.43/15.84 substitution0:
% 15.43/15.84 X := X
% 15.43/15.84 Y := Y
% 15.43/15.84 Z := Z
% 15.43/15.84 T := T
% 15.43/15.84 U := U
% 15.43/15.84 W := W
% 15.43/15.84 V0 := V0
% 15.43/15.84 V1 := V1
% 15.43/15.84 end
% 15.43/15.84 substitution1:
% 15.43/15.84 X := X
% 15.43/15.84 Y := Y
% 15.43/15.84 Z := U
% 15.43/15.84 T := W
% 15.43/15.84 U := Z
% 15.43/15.84 W := T
% 15.43/15.84 V0 := V0
% 15.43/15.84 V1 := V1
% 15.43/15.84 end
% 15.43/15.84
% 15.43/15.84 subsumption: (520) {G1,W18,D2,L2,V8,M2} R(20,19) { ! eqangle( X, Y, Z, T, U
% 15.43/15.84 , W, V0, V1 ), eqangle( Z, T, V0, V1, X, Y, U, W ) }.
% 15.43/15.84 parent0: (53754) {G1,W18,D2,L2,V8,M2} { eqangle( U, W, V0, V1, X, Y, Z, T
% 15.43/15.84 ), ! eqangle( X, Y, U, W, Z, T, V0, V1 ) }.
% 15.43/15.84 substitution0:
% 15.43/15.84 X := X
% 15.43/15.84 Y := Y
% 15.43/15.84 Z := U
% 15.43/15.84 T := W
% 15.43/15.84 U := Z
% 15.43/15.84 W := T
% 15.43/15.84 V0 := V0
% 15.43/15.84 V1 := V1
% 15.43/15.84 end
% 15.43/15.84 permutation0:
% 15.43/15.84 0 ==> 1
% 15.43/15.84 1 ==> 0
% 15.43/15.84 end
% 15.43/15.84
% 15.43/15.84 resolution: (53755) {G1,W27,D2,L3,V12,M3} { ! eqangle( U, W, V0, V1, V2,
% 15.43/15.84 V3, V4, V5 ), eqangle( X, Y, Z, T, V2, V3, V4, V5 ), ! eqangle( Y, X, Z,
% 15.43/15.84 T, U, W, V0, V1 ) }.
% 15.43/15.84 parent0[0]: (21) {G0,W27,D2,L3,V12,M3} I { ! eqangle( X, Y, Z, T, V2, V3,
% 15.43/15.84 V4, V5 ), ! eqangle( V2, V3, V4, V5, U, W, V0, V1 ), eqangle( X, Y, Z, T
% 15.43/15.84 , U, W, V0, V1 ) }.
% 15.43/15.84 parent1[1]: (17) {G0,W18,D2,L2,V8,M2} I { ! eqangle( X, Y, Z, T, U, W, V0,
% 15.43/15.84 V1 ), eqangle( Y, X, Z, T, U, W, V0, V1 ) }.
% 15.43/15.84 substitution0:
% 15.43/15.84 X := X
% 15.43/15.84 Y := Y
% 15.43/15.84 Z := Z
% 15.43/15.84 T := T
% 15.43/15.84 U := V2
% 15.43/15.84 W := V3
% 15.43/15.84 V0 := V4
% 15.43/15.84 V1 := V5
% 15.43/15.84 V2 := U
% 15.43/15.84 V3 := W
% 15.43/15.84 V4 := V0
% 15.43/15.84 V5 := V1
% 15.43/15.84 end
% 15.43/15.84 substitution1:
% 15.43/15.84 X := Y
% 15.43/15.84 Y := X
% 15.43/15.84 Z := Z
% 15.43/15.84 T := T
% 15.43/15.84 U := U
% 15.43/15.84 W := W
% 15.43/15.84 V0 := V0
% 15.43/15.84 V1 := V1
% 15.43/15.84 end
% 15.43/15.84
% 15.43/15.84 subsumption: (540) {G1,W27,D2,L3,V12,M3} R(21,17) { ! eqangle( X, Y, Z, T,
% 15.43/15.85 U, W, V0, V1 ), eqangle( V2, V3, V4, V5, U, W, V0, V1 ), ! eqangle( V3,
% 15.43/15.85 V2, V4, V5, X, Y, Z, T ) }.
% 15.43/15.85 parent0: (53755) {G1,W27,D2,L3,V12,M3} { ! eqangle( U, W, V0, V1, V2, V3,
% 15.43/15.85 V4, V5 ), eqangle( X, Y, Z, T, V2, V3, V4, V5 ), ! eqangle( Y, X, Z, T, U
% 15.43/15.85 , W, V0, V1 ) }.
% 15.43/15.85 substitution0:
% 15.43/15.85 X := V2
% 15.43/15.85 Y := V3
% 15.43/15.85 Z := V4
% 15.43/15.85 T := V5
% 15.43/15.85 U := X
% 15.43/15.85 W := Y
% 15.43/15.85 V0 := Z
% 15.43/15.85 V1 := T
% 15.43/15.85 V2 := U
% 15.43/15.85 V3 := W
% 15.43/15.85 V4 := V0
% 15.43/15.85 V5 := V1
% 15.43/15.85 end
% 15.43/15.85 permutation0:
% 15.43/15.85 0 ==> 0
% 15.43/15.85 1 ==> 1
% 15.43/15.85 2 ==> 2
% 15.43/15.85 end
% 15.43/15.85
% 15.43/15.85 resolution: (53759) {G1,W4,D2,L1,V0,M1} { coll( skol26, skol26, skol28 )
% 15.43/15.85 }.
% 15.43/15.85 parent0[0]: (0) {G0,W8,D2,L2,V3,M2} I { ! coll( X, Y, Z ), coll( X, Z, Y )
% 15.43/15.85 }.
% 15.43/15.85 parent1[0]: (445) {G3,W4,D2,L1,V0,M1} R(219,175) { coll( skol26, skol28,
% 15.43/15.85 skol26 ) }.
% 15.43/15.85 substitution0:
% 15.43/15.85 X := skol26
% 15.43/15.85 Y := skol28
% 15.43/15.85 Z := skol26
% 15.43/15.85 end
% 15.43/15.85 substitution1:
% 15.43/15.85 end
% 15.43/15.85
% 15.43/15.85 subsumption: (763) {G4,W4,D2,L1,V0,M1} R(445,0) { coll( skol26, skol26,
% 15.43/15.85 skol28 ) }.
% 15.43/15.85 parent0: (53759) {G1,W4,D2,L1,V0,M1} { coll( skol26, skol26, skol28 ) }.
% 15.43/15.85 substitution0:
% 15.43/15.85 end
% 15.43/15.85 permutation0:
% 15.43/15.85 0 ==> 0
% 15.43/15.85 end
% 15.43/15.85
% 15.43/15.85 resolution: (53760) {G1,W14,D2,L2,V6,M2} { eqangle( X, Y, U, W, Z, T, Z, T
% 15.43/15.85 ), ! para( X, Y, U, W ) }.
% 15.43/15.85 parent0[0]: (20) {G0,W18,D2,L2,V8,M2} I { ! eqangle( X, Y, Z, T, U, W, V0,
% 15.43/15.85 V1 ), eqangle( X, Y, U, W, Z, T, V0, V1 ) }.
% 15.43/15.85 parent1[1]: (39) {G0,W14,D2,L2,V6,M2} I { ! para( X, Y, Z, T ), eqangle( X
% 15.43/15.85 , Y, U, W, Z, T, U, W ) }.
% 15.43/15.85 substitution0:
% 15.43/15.85 X := X
% 15.43/15.85 Y := Y
% 15.43/15.85 Z := Z
% 15.43/15.85 T := T
% 15.43/15.85 U := U
% 15.43/15.85 W := W
% 15.43/15.85 V0 := Z
% 15.43/15.85 V1 := T
% 15.43/15.85 end
% 15.43/15.85 substitution1:
% 15.43/15.85 X := X
% 15.43/15.85 Y := Y
% 15.43/15.85 Z := U
% 15.43/15.85 T := W
% 15.43/15.85 U := Z
% 15.43/15.85 W := T
% 15.43/15.85 end
% 15.43/15.85
% 15.43/15.85 subsumption: (784) {G1,W14,D2,L2,V6,M2} R(39,20) { ! para( X, Y, Z, T ),
% 15.43/15.85 eqangle( X, Y, Z, T, U, W, U, W ) }.
% 15.43/15.85 parent0: (53760) {G1,W14,D2,L2,V6,M2} { eqangle( X, Y, U, W, Z, T, Z, T )
% 15.43/15.85 , ! para( X, Y, U, W ) }.
% 15.43/15.85 substitution0:
% 15.43/15.85 X := X
% 15.43/15.85 Y := Y
% 15.43/15.85 Z := U
% 15.43/15.85 T := W
% 15.43/15.85 U := Z
% 15.43/15.85 W := T
% 15.43/15.85 end
% 15.43/15.85 permutation0:
% 15.43/15.85 0 ==> 1
% 15.43/15.85 1 ==> 0
% 15.43/15.85 end
% 15.43/15.85
% 15.43/15.85 resolution: (53761) {G1,W14,D2,L2,V6,M2} { eqangle( Z, T, X, Y, Z, T, U, W
% 15.43/15.85 ), ! para( X, Y, U, W ) }.
% 15.43/15.85 parent0[0]: (18) {G0,W18,D2,L2,V8,M2} I { ! eqangle( X, Y, Z, T, U, W, V0,
% 15.43/15.85 V1 ), eqangle( Z, T, X, Y, V0, V1, U, W ) }.
% 15.43/15.85 parent1[1]: (39) {G0,W14,D2,L2,V6,M2} I { ! para( X, Y, Z, T ), eqangle( X
% 15.43/15.85 , Y, U, W, Z, T, U, W ) }.
% 15.43/15.85 substitution0:
% 15.43/15.85 X := X
% 15.43/15.85 Y := Y
% 15.43/15.85 Z := Z
% 15.43/15.85 T := T
% 15.43/15.85 U := U
% 15.43/15.85 W := W
% 15.43/15.85 V0 := Z
% 15.43/15.85 V1 := T
% 15.43/15.85 end
% 15.43/15.85 substitution1:
% 15.43/15.85 X := X
% 15.43/15.85 Y := Y
% 15.43/15.85 Z := U
% 15.43/15.85 T := W
% 15.43/15.85 U := Z
% 15.43/15.85 W := T
% 15.43/15.85 end
% 15.43/15.85
% 15.43/15.85 subsumption: (786) {G1,W14,D2,L2,V6,M2} R(39,18) { ! para( X, Y, Z, T ),
% 15.43/15.85 eqangle( U, W, X, Y, U, W, Z, T ) }.
% 15.43/15.85 parent0: (53761) {G1,W14,D2,L2,V6,M2} { eqangle( Z, T, X, Y, Z, T, U, W )
% 15.43/15.85 , ! para( X, Y, U, W ) }.
% 15.43/15.85 substitution0:
% 15.43/15.85 X := X
% 15.43/15.85 Y := Y
% 15.43/15.85 Z := U
% 15.43/15.85 T := W
% 15.43/15.85 U := Z
% 15.43/15.85 W := T
% 15.43/15.85 end
% 15.43/15.85 permutation0:
% 15.43/15.85 0 ==> 1
% 15.43/15.85 1 ==> 0
% 15.43/15.85 end
% 15.43/15.85
% 15.43/15.85 resolution: (53762) {G1,W14,D2,L2,V6,M2} { eqangle( X, Y, U, W, Z, T, U, W
% 15.43/15.85 ), ! para( X, Y, T, Z ) }.
% 15.43/15.85 parent0[0]: (39) {G0,W14,D2,L2,V6,M2} I { ! para( X, Y, Z, T ), eqangle( X
% 15.43/15.85 , Y, U, W, Z, T, U, W ) }.
% 15.43/15.85 parent1[1]: (3) {G0,W10,D2,L2,V4,M2} I { ! para( X, Y, Z, T ), para( X, Y,
% 15.43/15.85 T, Z ) }.
% 15.43/15.85 substitution0:
% 15.43/15.85 X := X
% 15.43/15.85 Y := Y
% 15.43/15.85 Z := Z
% 15.43/15.85 T := T
% 15.43/15.85 U := U
% 15.43/15.85 W := W
% 15.43/15.85 end
% 15.43/15.85 substitution1:
% 15.43/15.85 X := X
% 15.43/15.85 Y := Y
% 15.43/15.85 Z := T
% 15.43/15.85 T := Z
% 15.43/15.85 end
% 15.43/15.85
% 15.43/15.85 subsumption: (790) {G1,W14,D2,L2,V6,M2} R(39,3) { eqangle( X, Y, Z, T, U, W
% 15.43/15.85 , Z, T ), ! para( X, Y, W, U ) }.
% 15.43/15.85 parent0: (53762) {G1,W14,D2,L2,V6,M2} { eqangle( X, Y, U, W, Z, T, U, W )
% 15.43/15.85 , ! para( X, Y, T, Z ) }.
% 15.43/15.85 substitution0:
% 15.43/15.85 X := X
% 15.43/15.85 Y := Y
% 15.43/15.85 Z := U
% 15.43/15.85 T := W
% 15.43/15.85 U := Z
% 15.43/15.85 W := T
% 15.43/15.85 end
% 15.43/15.85 permutation0:
% 15.43/15.85 0 ==> 0
% 15.43/15.85 1 ==> 1
% 15.43/15.85 end
% 15.43/15.85
% 15.43/15.85 resolution: (53763) {G1,W14,D2,L2,V1,M2} { ! eqangle( skol26, X, skol26,
% 15.43/15.85 skol28, skol26, X, skol26, skol28 ), cyclic( X, skol28, skol26, skol26 )
% 15.43/15.85 }.
% 15.43/15.85 parent0[1]: (42) {G0,W18,D2,L3,V4,M3} I { ! eqangle( Z, X, Z, Y, T, X, T, Y
% 15.43/15.85 ), ! coll( Z, T, Y ), cyclic( X, Y, Z, T ) }.
% 15.43/15.85 parent1[0]: (763) {G4,W4,D2,L1,V0,M1} R(445,0) { coll( skol26, skol26,
% 15.43/15.85 skol28 ) }.
% 15.43/15.85 substitution0:
% 15.43/15.85 X := X
% 15.43/15.85 Y := skol28
% 15.43/15.85 Z := skol26
% 15.43/15.85 T := skol26
% 15.43/15.85 end
% 15.43/15.85 substitution1:
% 15.43/15.85 end
% 15.43/15.85
% 15.43/15.85 subsumption: (859) {G5,W14,D2,L2,V1,M2} R(42,763) { ! eqangle( skol26, X,
% 15.43/15.85 skol26, skol28, skol26, X, skol26, skol28 ), cyclic( X, skol28, skol26,
% 15.43/15.85 skol26 ) }.
% 15.43/15.85 parent0: (53763) {G1,W14,D2,L2,V1,M2} { ! eqangle( skol26, X, skol26,
% 15.43/15.85 skol28, skol26, X, skol26, skol28 ), cyclic( X, skol28, skol26, skol26 )
% 15.43/15.85 }.
% 15.43/15.85 substitution0:
% 15.43/15.85 X := X
% 15.43/15.85 end
% 15.43/15.85 permutation0:
% 15.43/15.85 0 ==> 0
% 15.43/15.85 1 ==> 1
% 15.43/15.85 end
% 15.43/15.85
% 15.43/15.85 resolution: (53764) {G1,W25,D2,L5,V4,M5} { ! cyclic( X, Y, Z, X ), !
% 15.43/15.85 cyclic( X, Y, Z, Y ), ! cyclic( X, Y, Z, T ), cong( X, Y, X, Y ), !
% 15.43/15.85 cyclic( X, Y, Z, T ) }.
% 15.43/15.85 parent0[3]: (43) {G0,W29,D2,L5,V6,M5} I { ! cyclic( X, Y, U, Z ), ! cyclic
% 15.43/15.85 ( X, Y, U, T ), ! cyclic( X, Y, U, W ), ! eqangle( U, X, U, Y, W, Z, W, T
% 15.43/15.85 ), cong( X, Y, Z, T ) }.
% 15.43/15.85 parent1[1]: (40) {G0,W14,D2,L2,V4,M2} I { ! cyclic( X, Y, Z, T ), eqangle(
% 15.43/15.85 Z, X, Z, Y, T, X, T, Y ) }.
% 15.43/15.85 substitution0:
% 15.43/15.85 X := X
% 15.43/15.85 Y := Y
% 15.43/15.85 Z := X
% 15.43/15.85 T := Y
% 15.43/15.85 U := Z
% 15.43/15.85 W := T
% 15.43/15.85 end
% 15.43/15.85 substitution1:
% 15.43/15.85 X := X
% 15.43/15.85 Y := Y
% 15.43/15.85 Z := Z
% 15.43/15.85 T := T
% 15.43/15.85 end
% 15.43/15.85
% 15.43/15.85 factor: (53766) {G1,W20,D2,L4,V3,M4} { ! cyclic( X, Y, Z, X ), ! cyclic( X
% 15.43/15.85 , Y, Z, Y ), cong( X, Y, X, Y ), ! cyclic( X, Y, Z, X ) }.
% 15.43/15.85 parent0[0, 2]: (53764) {G1,W25,D2,L5,V4,M5} { ! cyclic( X, Y, Z, X ), !
% 15.43/15.85 cyclic( X, Y, Z, Y ), ! cyclic( X, Y, Z, T ), cong( X, Y, X, Y ), !
% 15.43/15.85 cyclic( X, Y, Z, T ) }.
% 15.43/15.85 substitution0:
% 15.43/15.85 X := X
% 15.43/15.85 Y := Y
% 15.43/15.85 Z := Z
% 15.43/15.85 T := X
% 15.43/15.85 end
% 15.43/15.85
% 15.43/15.85 subsumption: (1029) {G1,W20,D2,L4,V4,M4} R(43,40);f { ! cyclic( X, Y, Z, X
% 15.43/15.85 ), ! cyclic( X, Y, Z, Y ), ! cyclic( X, Y, Z, T ), cong( X, Y, X, Y )
% 15.43/15.85 }.
% 15.43/15.85 parent0: (53766) {G1,W20,D2,L4,V3,M4} { ! cyclic( X, Y, Z, X ), ! cyclic(
% 15.43/15.85 X, Y, Z, Y ), cong( X, Y, X, Y ), ! cyclic( X, Y, Z, X ) }.
% 15.43/15.85 substitution0:
% 15.43/15.85 X := X
% 15.43/15.85 Y := Y
% 15.43/15.85 Z := Z
% 15.43/15.85 end
% 15.43/15.85 permutation0:
% 15.43/15.85 0 ==> 0
% 15.43/15.85 1 ==> 1
% 15.43/15.85 2 ==> 3
% 15.43/15.85 3 ==> 0
% 15.43/15.85 end
% 15.43/15.85
% 15.43/15.85 factor: (53771) {G1,W15,D2,L3,V3,M3} { ! cyclic( X, Y, Z, X ), ! cyclic( X
% 15.43/15.85 , Y, Z, Y ), cong( X, Y, X, Y ) }.
% 15.43/15.85 parent0[0, 2]: (1029) {G1,W20,D2,L4,V4,M4} R(43,40);f { ! cyclic( X, Y, Z,
% 15.43/15.85 X ), ! cyclic( X, Y, Z, Y ), ! cyclic( X, Y, Z, T ), cong( X, Y, X, Y )
% 15.43/15.85 }.
% 15.43/15.85 substitution0:
% 15.43/15.85 X := X
% 15.43/15.85 Y := Y
% 15.43/15.85 Z := Z
% 15.43/15.85 T := X
% 15.43/15.85 end
% 15.43/15.85
% 15.43/15.85 subsumption: (1061) {G2,W15,D2,L3,V3,M3} F(1029) { ! cyclic( X, Y, Z, X ),
% 15.43/15.85 ! cyclic( X, Y, Z, Y ), cong( X, Y, X, Y ) }.
% 15.43/15.85 parent0: (53771) {G1,W15,D2,L3,V3,M3} { ! cyclic( X, Y, Z, X ), ! cyclic(
% 15.43/15.85 X, Y, Z, Y ), cong( X, Y, X, Y ) }.
% 15.43/15.85 substitution0:
% 15.43/15.85 X := X
% 15.43/15.85 Y := Y
% 15.43/15.85 Z := Z
% 15.43/15.85 end
% 15.43/15.85 permutation0:
% 15.43/15.85 0 ==> 0
% 15.43/15.85 1 ==> 1
% 15.43/15.85 2 ==> 2
% 15.43/15.85 end
% 15.43/15.85
% 15.43/15.85 resolution: (53773) {G3,W5,D2,L1,V0,M1} { para( skol26, skol28, skol26,
% 15.43/15.85 skol28 ) }.
% 15.43/15.85 parent0[0]: (306) {G2,W10,D2,L2,V4,M2} F(298) { ! perp( X, Y, Z, T ), para
% 15.43/15.85 ( X, Y, X, Y ) }.
% 15.43/15.85 parent1[0]: (362) {G4,W5,D2,L1,V0,M1} R(358,6) { perp( skol26, skol28,
% 15.43/15.85 skol24, skol20 ) }.
% 15.43/15.85 substitution0:
% 15.43/15.85 X := skol26
% 15.43/15.85 Y := skol28
% 15.43/15.85 Z := skol24
% 15.43/15.85 T := skol20
% 15.43/15.85 end
% 15.43/15.85 substitution1:
% 15.43/15.85 end
% 15.43/15.85
% 15.43/15.85 subsumption: (21461) {G5,W5,D2,L1,V0,M1} R(306,362) { para( skol26, skol28
% 15.43/15.85 , skol26, skol28 ) }.
% 15.43/15.85 parent0: (53773) {G3,W5,D2,L1,V0,M1} { para( skol26, skol28, skol26,
% 15.43/15.85 skol28 ) }.
% 15.43/15.85 substitution0:
% 15.43/15.85 end
% 15.43/15.85 permutation0:
% 15.43/15.85 0 ==> 0
% 15.43/15.85 end
% 15.43/15.85
% 15.43/15.85 resolution: (53774) {G2,W9,D2,L1,V2,M1} { eqangle( X, Y, skol26, skol28, X
% 15.43/15.85 , Y, skol26, skol28 ) }.
% 15.43/15.85 parent0[0]: (786) {G1,W14,D2,L2,V6,M2} R(39,18) { ! para( X, Y, Z, T ),
% 15.43/15.85 eqangle( U, W, X, Y, U, W, Z, T ) }.
% 15.43/15.85 parent1[0]: (21461) {G5,W5,D2,L1,V0,M1} R(306,362) { para( skol26, skol28,
% 15.43/15.85 skol26, skol28 ) }.
% 15.43/15.85 substitution0:
% 15.43/15.85 X := skol26
% 15.43/15.85 Y := skol28
% 15.43/15.85 Z := skol26
% 15.43/15.85 T := skol28
% 15.43/15.85 U := X
% 15.43/15.85 W := Y
% 15.43/15.85 end
% 15.43/15.85 substitution1:
% 15.43/15.85 end
% 15.43/15.85
% 15.43/15.85 subsumption: (42496) {G6,W9,D2,L1,V2,M1} R(786,21461) { eqangle( X, Y,
% 15.43/15.85 skol26, skol28, X, Y, skol26, skol28 ) }.
% 15.43/15.85 parent0: (53774) {G2,W9,D2,L1,V2,M1} { eqangle( X, Y, skol26, skol28, X, Y
% 15.43/15.85 , skol26, skol28 ) }.
% 15.43/15.85 substitution0:
% 15.43/15.85 X := X
% 15.43/15.85 Y := Y
% 15.43/15.85 end
% 15.43/15.85 permutation0:
% 15.43/15.85 0 ==> 0
% 15.43/15.85 end
% 15.43/15.85
% 15.43/15.85 resolution: (53775) {G6,W5,D2,L1,V1,M1} { cyclic( X, skol28, skol26,
% 15.43/15.85 skol26 ) }.
% 15.43/15.85 parent0[0]: (859) {G5,W14,D2,L2,V1,M2} R(42,763) { ! eqangle( skol26, X,
% 15.43/15.85 skol26, skol28, skol26, X, skol26, skol28 ), cyclic( X, skol28, skol26,
% 15.43/15.85 skol26 ) }.
% 15.43/15.85 parent1[0]: (42496) {G6,W9,D2,L1,V2,M1} R(786,21461) { eqangle( X, Y,
% 15.43/15.85 skol26, skol28, X, Y, skol26, skol28 ) }.
% 15.43/15.85 substitution0:
% 15.43/15.85 X := X
% 15.43/15.85 end
% 15.43/15.85 substitution1:
% 15.43/15.85 X := skol26
% 15.43/15.85 Y := X
% 15.43/15.85 end
% 15.43/15.85
% 15.43/15.85 subsumption: (45724) {G7,W5,D2,L1,V1,M1} S(859);r(42496) { cyclic( X,
% 15.43/15.85 skol28, skol26, skol26 ) }.
% 15.43/15.85 parent0: (53775) {G6,W5,D2,L1,V1,M1} { cyclic( X, skol28, skol26, skol26 )
% 15.43/15.85 }.
% 15.43/15.85 substitution0:
% 15.43/15.85 X := X
% 15.43/15.85 end
% 15.43/15.85 permutation0:
% 15.43/15.85 0 ==> 0
% 15.43/15.85 end
% 15.43/15.85
% 15.43/15.85 resolution: (53776) {G2,W5,D2,L1,V1,M1} { cyclic( skol28, X, skol26,
% 15.43/15.85 skol26 ) }.
% 15.43/15.85 parent0[1]: (409) {G1,W10,D2,L2,V4,M2} R(15,13) { cyclic( X, Y, Z, T ), !
% 15.43/15.85 cyclic( Y, X, T, Z ) }.
% 15.43/15.85 parent1[0]: (45724) {G7,W5,D2,L1,V1,M1} S(859);r(42496) { cyclic( X, skol28
% 15.43/15.85 , skol26, skol26 ) }.
% 15.43/15.85 substitution0:
% 15.43/15.85 X := skol28
% 15.43/15.85 Y := X
% 15.43/15.85 Z := skol26
% 15.43/15.85 T := skol26
% 15.43/15.85 end
% 15.43/15.85 substitution1:
% 15.43/15.85 X := X
% 15.43/15.85 end
% 15.43/15.85
% 15.43/15.85 subsumption: (45745) {G8,W5,D2,L1,V1,M1} R(45724,409) { cyclic( skol28, X,
% 15.43/15.85 skol26, skol26 ) }.
% 15.43/15.85 parent0: (53776) {G2,W5,D2,L1,V1,M1} { cyclic( skol28, X, skol26, skol26 )
% 15.43/15.85 }.
% 15.43/15.85 substitution0:
% 15.43/15.85 X := X
% 15.43/15.85 end
% 15.43/15.85 permutation0:
% 15.43/15.85 0 ==> 0
% 15.43/15.85 end
% 15.43/15.85
% 15.43/15.85 resolution: (53777) {G3,W5,D2,L1,V1,M1} { cyclic( skol26, X, skol26,
% 15.43/15.85 skol26 ) }.
% 15.43/15.85 parent0[0]: (484) {G2,W10,D2,L2,V4,M2} F(475) { ! cyclic( X, Y, Z, T ),
% 15.43/15.85 cyclic( Z, Y, T, T ) }.
% 15.43/15.85 parent1[0]: (45745) {G8,W5,D2,L1,V1,M1} R(45724,409) { cyclic( skol28, X,
% 15.43/15.85 skol26, skol26 ) }.
% 15.43/15.85 substitution0:
% 15.43/15.85 X := skol28
% 15.43/15.85 Y := X
% 15.43/15.85 Z := skol26
% 15.43/15.85 T := skol26
% 15.43/15.85 end
% 15.43/15.85 substitution1:
% 15.43/15.85 X := X
% 15.43/15.85 end
% 15.43/15.85
% 15.43/15.85 subsumption: (45757) {G9,W5,D2,L1,V1,M1} R(45745,484) { cyclic( skol26, X,
% 15.43/15.85 skol26, skol26 ) }.
% 15.43/15.85 parent0: (53777) {G3,W5,D2,L1,V1,M1} { cyclic( skol26, X, skol26, skol26 )
% 15.43/15.85 }.
% 15.43/15.85 substitution0:
% 15.43/15.85 X := X
% 15.43/15.85 end
% 15.43/15.85 permutation0:
% 15.43/15.85 0 ==> 0
% 15.43/15.85 end
% 15.43/15.85
% 15.43/15.85 resolution: (53778) {G2,W5,D2,L1,V1,M1} { cyclic( skol26, skol26, X,
% 15.43/15.85 skol26 ) }.
% 15.43/15.85 parent0[1]: (407) {G1,W10,D2,L2,V4,M2} R(15,14) { cyclic( X, Y, Z, T ), !
% 15.43/15.85 cyclic( Y, Z, X, T ) }.
% 15.43/15.85 parent1[0]: (45757) {G9,W5,D2,L1,V1,M1} R(45745,484) { cyclic( skol26, X,
% 15.43/15.85 skol26, skol26 ) }.
% 15.43/15.85 substitution0:
% 15.43/15.85 X := skol26
% 15.43/15.85 Y := skol26
% 15.43/15.85 Z := X
% 15.43/15.85 T := skol26
% 15.43/15.85 end
% 15.43/15.85 substitution1:
% 15.43/15.85 X := X
% 15.43/15.85 end
% 15.43/15.85
% 15.43/15.85 subsumption: (45779) {G10,W5,D2,L1,V1,M1} R(45757,407) { cyclic( skol26,
% 15.43/15.85 skol26, X, skol26 ) }.
% 15.43/15.85 parent0: (53778) {G2,W5,D2,L1,V1,M1} { cyclic( skol26, skol26, X, skol26 )
% 15.43/15.85 }.
% 15.43/15.85 substitution0:
% 15.43/15.85 X := X
% 15.43/15.85 end
% 15.43/15.85 permutation0:
% 15.43/15.85 0 ==> 0
% 15.43/15.85 end
% 15.43/15.85
% 15.43/15.85 resolution: (53779) {G2,W5,D2,L1,V1,M1} { cyclic( skol26, skol26, skol26,
% 15.43/15.85 X ) }.
% 15.43/15.85 parent0[0]: (391) {G1,W10,D2,L2,V4,M2} R(14,13) { ! cyclic( X, Y, Z, T ),
% 15.43/15.85 cyclic( X, Z, T, Y ) }.
% 15.43/15.85 parent1[0]: (45757) {G9,W5,D2,L1,V1,M1} R(45745,484) { cyclic( skol26, X,
% 15.43/15.85 skol26, skol26 ) }.
% 15.43/15.85 substitution0:
% 15.43/15.85 X := skol26
% 15.43/15.85 Y := X
% 15.43/15.85 Z := skol26
% 15.43/15.85 T := skol26
% 15.43/15.85 end
% 15.43/15.85 substitution1:
% 15.43/15.85 X := X
% 15.43/15.85 end
% 15.43/15.85
% 15.43/15.85 subsumption: (45780) {G10,W5,D2,L1,V1,M1} R(45757,391) { cyclic( skol26,
% 15.43/15.85 skol26, skol26, X ) }.
% 15.43/15.85 parent0: (53779) {G2,W5,D2,L1,V1,M1} { cyclic( skol26, skol26, skol26, X )
% 15.43/15.85 }.
% 15.43/15.85 substitution0:
% 15.43/15.85 X := X
% 15.43/15.85 end
% 15.43/15.85 permutation0:
% 15.43/15.85 0 ==> 0
% 15.43/15.85 end
% 15.43/15.85
% 15.43/15.85 resolution: (53781) {G2,W10,D2,L2,V2,M2} { ! cyclic( skol26, skol26,
% 15.43/15.85 skol26, X ), cyclic( skol26, skol26, X, Y ) }.
% 15.43/15.85 parent0[2]: (480) {G1,W15,D2,L3,V5,M3} R(16,13) { ! cyclic( X, Y, Z, T ),
% 15.43/15.85 cyclic( Y, Z, T, U ), ! cyclic( X, Y, U, Z ) }.
% 15.43/15.85 parent1[0]: (45779) {G10,W5,D2,L1,V1,M1} R(45757,407) { cyclic( skol26,
% 15.43/15.85 skol26, X, skol26 ) }.
% 15.43/15.85 substitution0:
% 15.43/15.85 X := skol26
% 15.43/15.85 Y := skol26
% 15.43/15.85 Z := skol26
% 15.43/15.85 T := X
% 15.43/15.85 U := Y
% 15.43/15.85 end
% 15.43/15.85 substitution1:
% 15.43/15.85 X := Y
% 15.43/15.85 end
% 15.43/15.85
% 15.43/15.85 resolution: (53782) {G3,W5,D2,L1,V2,M1} { cyclic( skol26, skol26, X, Y )
% 15.43/15.85 }.
% 15.43/15.85 parent0[0]: (53781) {G2,W10,D2,L2,V2,M2} { ! cyclic( skol26, skol26,
% 15.43/15.85 skol26, X ), cyclic( skol26, skol26, X, Y ) }.
% 15.43/15.85 parent1[0]: (45780) {G10,W5,D2,L1,V1,M1} R(45757,391) { cyclic( skol26,
% 15.43/15.85 skol26, skol26, X ) }.
% 15.43/15.85 substitution0:
% 15.43/15.85 X := X
% 15.43/15.85 Y := Y
% 15.43/15.85 end
% 15.43/15.85 substitution1:
% 15.43/15.85 X := X
% 15.43/15.85 end
% 15.43/15.85
% 15.43/15.85 subsumption: (45785) {G11,W5,D2,L1,V2,M1} R(45779,480);r(45780) { cyclic(
% 15.43/15.85 skol26, skol26, X, Y ) }.
% 15.43/15.85 parent0: (53782) {G3,W5,D2,L1,V2,M1} { cyclic( skol26, skol26, X, Y ) }.
% 15.43/15.85 substitution0:
% 15.43/15.85 X := X
% 15.43/15.85 Y := Y
% 15.43/15.85 end
% 15.43/15.85 permutation0:
% 15.43/15.85 0 ==> 0
% 15.43/15.85 end
% 15.43/15.85
% 15.43/15.85 resolution: (53783) {G2,W10,D2,L2,V3,M2} { cyclic( skol26, X, Y, Z ), !
% 15.43/15.85 cyclic( skol26, skol26, Z, X ) }.
% 15.43/15.85 parent0[0]: (480) {G1,W15,D2,L3,V5,M3} R(16,13) { ! cyclic( X, Y, Z, T ),
% 15.43/15.85 cyclic( Y, Z, T, U ), ! cyclic( X, Y, U, Z ) }.
% 15.43/15.85 parent1[0]: (45785) {G11,W5,D2,L1,V2,M1} R(45779,480);r(45780) { cyclic(
% 15.43/15.85 skol26, skol26, X, Y ) }.
% 15.43/15.85 substitution0:
% 15.43/15.85 X := skol26
% 15.43/15.85 Y := skol26
% 15.43/15.85 Z := X
% 15.43/15.85 T := Y
% 15.43/15.85 U := Z
% 15.43/15.85 end
% 15.43/15.85 substitution1:
% 15.43/15.85 X := X
% 15.43/15.85 Y := Y
% 15.43/15.85 end
% 15.43/15.85
% 15.43/15.85 resolution: (53785) {G3,W5,D2,L1,V3,M1} { cyclic( skol26, X, Y, Z ) }.
% 15.43/15.85 parent0[1]: (53783) {G2,W10,D2,L2,V3,M2} { cyclic( skol26, X, Y, Z ), !
% 15.43/15.85 cyclic( skol26, skol26, Z, X ) }.
% 15.43/15.85 parent1[0]: (45785) {G11,W5,D2,L1,V2,M1} R(45779,480);r(45780) { cyclic(
% 15.43/15.85 skol26, skol26, X, Y ) }.
% 15.43/15.85 substitution0:
% 15.43/15.85 X := X
% 15.43/15.85 Y := Y
% 15.43/15.85 Z := Z
% 15.43/15.85 end
% 15.43/15.85 substitution1:
% 15.43/15.85 X := Z
% 15.43/15.85 Y := X
% 15.43/15.85 end
% 15.43/15.85
% 15.43/15.85 subsumption: (45807) {G12,W5,D2,L1,V3,M1} R(45785,480);r(45785) { cyclic(
% 15.43/15.85 skol26, X, Y, Z ) }.
% 15.43/15.85 parent0: (53785) {G3,W5,D2,L1,V3,M1} { cyclic( skol26, X, Y, Z ) }.
% 15.43/15.85 substitution0:
% 15.43/15.85 X := X
% 15.43/15.85 Y := Y
% 15.43/15.85 Z := Z
% 15.43/15.85 end
% 15.43/15.85 permutation0:
% 15.43/15.85 0 ==> 0
% 15.43/15.85 end
% 15.43/15.85
% 15.43/15.85 resolution: (53786) {G2,W10,D2,L2,V4,M2} { cyclic( X, Y, Z, T ), ! cyclic
% 15.43/15.85 ( skol26, X, T, Y ) }.
% 15.43/15.85 parent0[0]: (480) {G1,W15,D2,L3,V5,M3} R(16,13) { ! cyclic( X, Y, Z, T ),
% 15.43/15.85 cyclic( Y, Z, T, U ), ! cyclic( X, Y, U, Z ) }.
% 15.43/15.85 parent1[0]: (45807) {G12,W5,D2,L1,V3,M1} R(45785,480);r(45785) { cyclic(
% 15.43/15.85 skol26, X, Y, Z ) }.
% 15.43/15.85 substitution0:
% 15.43/15.85 X := skol26
% 15.43/15.85 Y := X
% 15.43/15.85 Z := Y
% 15.43/15.85 T := Z
% 15.43/15.85 U := T
% 15.43/15.85 end
% 15.43/15.85 substitution1:
% 15.43/15.85 X := X
% 15.43/15.85 Y := Y
% 15.43/15.85 Z := Z
% 15.43/15.85 end
% 15.43/15.85
% 15.43/15.85 resolution: (53788) {G3,W5,D2,L1,V4,M1} { cyclic( X, Y, Z, T ) }.
% 15.43/15.85 parent0[1]: (53786) {G2,W10,D2,L2,V4,M2} { cyclic( X, Y, Z, T ), ! cyclic
% 15.43/15.85 ( skol26, X, T, Y ) }.
% 15.43/15.85 parent1[0]: (45807) {G12,W5,D2,L1,V3,M1} R(45785,480);r(45785) { cyclic(
% 15.43/15.85 skol26, X, Y, Z ) }.
% 15.43/15.85 substitution0:
% 15.43/15.85 X := X
% 15.43/15.85 Y := Y
% 15.43/15.85 Z := Z
% 15.43/15.85 T := T
% 15.43/15.85 end
% 15.43/15.85 substitution1:
% 15.43/15.85 X := X
% 15.43/15.85 Y := T
% 15.43/15.85 Z := Y
% 15.43/15.85 end
% 15.43/15.85
% 15.43/15.85 subsumption: (45826) {G13,W5,D2,L1,V4,M1} R(45807,480);r(45807) { cyclic( X
% 15.43/15.85 , Y, Z, T ) }.
% 15.43/15.85 parent0: (53788) {G3,W5,D2,L1,V4,M1} { cyclic( X, Y, Z, T ) }.
% 15.43/15.85 substitution0:
% 15.43/15.85 X := X
% 15.43/15.85 Y := Y
% 15.43/15.85 Z := Z
% 15.43/15.85 T := T
% 15.43/15.85 end
% 15.43/15.85 permutation0:
% 15.43/15.85 0 ==> 0
% 15.43/15.85 end
% 15.43/15.85
% 15.43/15.85 resolution: (53791) {G3,W10,D2,L2,V3,M2} { ! cyclic( X, Y, Z, Y ), cong( X
% 15.43/15.85 , Y, X, Y ) }.
% 15.43/15.85 parent0[0]: (1061) {G2,W15,D2,L3,V3,M3} F(1029) { ! cyclic( X, Y, Z, X ), !
% 15.43/15.85 cyclic( X, Y, Z, Y ), cong( X, Y, X, Y ) }.
% 15.43/15.85 parent1[0]: (45826) {G13,W5,D2,L1,V4,M1} R(45807,480);r(45807) { cyclic( X
% 15.43/15.85 , Y, Z, T ) }.
% 15.43/15.85 substitution0:
% 15.43/15.85 X := X
% 15.43/15.85 Y := Y
% 15.43/15.85 Z := Z
% 15.43/15.85 end
% 15.43/15.85 substitution1:
% 15.43/15.85 X := X
% 15.43/15.85 Y := Y
% 15.43/15.85 Z := Z
% 15.43/15.85 T := X
% 15.43/15.85 end
% 15.43/15.85
% 15.43/15.85 resolution: (53793) {G4,W5,D2,L1,V2,M1} { cong( X, Y, X, Y ) }.
% 15.43/15.85 parent0[0]: (53791) {G3,W10,D2,L2,V3,M2} { ! cyclic( X, Y, Z, Y ), cong( X
% 15.43/15.85 , Y, X, Y ) }.
% 15.43/15.85 parent1[0]: (45826) {G13,W5,D2,L1,V4,M1} R(45807,480);r(45807) { cyclic( X
% 15.43/15.85 , Y, Z, T ) }.
% 15.43/15.85 substitution0:
% 15.43/15.85 X := X
% 15.43/15.85 Y := Y
% 15.43/15.85 Z := Z
% 15.43/15.85 end
% 15.43/15.85 substitution1:
% 15.43/15.85 X := X
% 15.43/15.85 Y := Y
% 15.43/15.85 Z := Z
% 15.43/15.85 T := Y
% 15.43/15.85 end
% 15.43/15.85
% 15.43/15.85 subsumption: (52905) {G14,W5,D2,L1,V2,M1} S(1061);r(45826);r(45826) { cong
% 15.43/15.85 ( X, Y, X, Y ) }.
% 15.43/15.85 parent0: (53793) {G4,W5,D2,L1,V2,M1} { cong( X, Y, X, Y ) }.
% 15.43/15.85 substitution0:
% 15.43/15.85 X := X
% 15.43/15.85 Y := Y
% 15.43/15.85 end
% 15.43/15.85 permutation0:
% 15.43/15.85 0 ==> 0
% 15.43/15.85 end
% 15.43/15.85
% 15.43/15.85 resolution: (53794) {G1,W10,D2,L2,V3,M2} { ! cong( X, Z, X, Z ), perp( X,
% 15.43/15.85 X, Y, Z ) }.
% 15.43/15.85 parent0[0]: (56) {G0,W15,D2,L3,V4,M3} I { ! cong( X, Z, Y, Z ), ! cong( X,
% 15.43/15.85 T, Y, T ), perp( X, Y, Z, T ) }.
% 15.43/15.85 parent1[0]: (52905) {G14,W5,D2,L1,V2,M1} S(1061);r(45826);r(45826) { cong(
% 15.43/15.85 X, Y, X, Y ) }.
% 15.43/15.85 substitution0:
% 15.43/15.85 X := X
% 15.43/15.85 Y := X
% 15.43/15.85 Z := Y
% 15.43/15.85 T := Z
% 15.43/15.85 end
% 15.43/15.85 substitution1:
% 15.43/15.85 X := X
% 15.43/15.85 Y := Y
% 15.43/15.85 end
% 15.43/15.85
% 15.43/15.85 resolution: (53796) {G2,W5,D2,L1,V3,M1} { perp( X, X, Z, Y ) }.
% 15.43/15.85 parent0[0]: (53794) {G1,W10,D2,L2,V3,M2} { ! cong( X, Z, X, Z ), perp( X,
% 15.43/15.85 X, Y, Z ) }.
% 15.43/15.85 parent1[0]: (52905) {G14,W5,D2,L1,V2,M1} S(1061);r(45826);r(45826) { cong(
% 15.43/15.85 X, Y, X, Y ) }.
% 15.43/15.85 substitution0:
% 15.43/15.85 X := X
% 15.43/15.85 Y := Z
% 15.43/15.85 Z := Y
% 15.43/15.85 end
% 15.43/15.85 substitution1:
% 15.43/15.85 X := X
% 15.43/15.85 Y := Y
% 15.43/15.85 end
% 15.43/15.85
% 15.43/15.85 subsumption: (52922) {G15,W5,D2,L1,V3,M1} R(52905,56);r(52905) { perp( X, X
% 15.43/15.85 , Z, Y ) }.
% 15.43/15.85 parent0: (53796) {G2,W5,D2,L1,V3,M1} { perp( X, X, Z, Y ) }.
% 15.43/15.85 substitution0:
% 15.43/15.85 X := X
% 15.43/15.85 Y := Y
% 15.43/15.85 Z := Z
% 15.43/15.85 end
% 15.43/15.85 permutation0:
% 15.43/15.85 0 ==> 0
% 15.43/15.85 end
% 15.43/15.85
% 15.43/15.85 resolution: (53797) {G2,W10,D2,L2,V5,M2} { para( T, U, Y, Z ), ! perp( X,
% 15.43/15.85 X, T, U ) }.
% 15.43/15.85 parent0[0]: (297) {G1,W15,D2,L3,V6,M3} R(8,7) { ! perp( X, Y, Z, T ), para
% 15.43/15.85 ( U, W, Z, T ), ! perp( X, Y, U, W ) }.
% 15.43/15.85 parent1[0]: (52922) {G15,W5,D2,L1,V3,M1} R(52905,56);r(52905) { perp( X, X
% 15.43/15.85 , Z, Y ) }.
% 15.43/15.85 substitution0:
% 15.43/15.85 X := X
% 15.43/15.85 Y := X
% 15.43/15.85 Z := Y
% 15.43/15.85 T := Z
% 15.43/15.85 U := T
% 15.43/15.85 W := U
% 15.43/15.85 end
% 15.43/15.85 substitution1:
% 15.43/15.85 X := X
% 15.43/15.85 Y := Z
% 15.43/15.85 Z := Y
% 15.43/15.85 end
% 15.43/15.85
% 15.43/15.85 resolution: (53799) {G3,W5,D2,L1,V4,M1} { para( X, Y, Z, T ) }.
% 15.43/15.85 parent0[1]: (53797) {G2,W10,D2,L2,V5,M2} { para( T, U, Y, Z ), ! perp( X,
% 15.43/15.85 X, T, U ) }.
% 15.43/15.85 parent1[0]: (52922) {G15,W5,D2,L1,V3,M1} R(52905,56);r(52905) { perp( X, X
% 15.43/15.85 , Z, Y ) }.
% 15.43/15.85 substitution0:
% 15.43/15.85 X := U
% 15.43/15.85 Y := Z
% 15.43/15.85 Z := T
% 15.43/15.85 T := X
% 15.43/15.85 U := Y
% 15.43/15.85 end
% 15.43/15.85 substitution1:
% 15.43/15.85 X := U
% 15.43/15.85 Y := Y
% 15.43/15.85 Z := X
% 15.43/15.85 end
% 15.43/15.85
% 15.43/15.85 subsumption: (52955) {G16,W5,D2,L1,V4,M1} R(52922,297);r(52922) { para( X,
% 15.43/15.85 Y, Z, T ) }.
% 15.43/15.85 parent0: (53799) {G3,W5,D2,L1,V4,M1} { para( X, Y, Z, T ) }.
% 15.43/15.85 substitution0:
% 15.43/15.85 X := X
% 15.43/15.85 Y := Y
% 15.43/15.85 Z := Z
% 15.43/15.85 T := T
% 15.43/15.85 end
% 15.43/15.85 permutation0:
% 15.43/15.85 0 ==> 0
% 15.43/15.85 end
% 15.43/15.85
% 15.43/15.85 resolution: (53800) {G2,W9,D2,L1,V6,M1} { eqangle( X, Y, Z, T, U, W, Z, T
% 15.43/15.85 ) }.
% 15.43/15.85 parent0[1]: (790) {G1,W14,D2,L2,V6,M2} R(39,3) { eqangle( X, Y, Z, T, U, W
% 15.43/15.85 , Z, T ), ! para( X, Y, W, U ) }.
% 15.43/15.85 parent1[0]: (52955) {G16,W5,D2,L1,V4,M1} R(52922,297);r(52922) { para( X, Y
% 15.43/15.85 , Z, T ) }.
% 15.43/15.85 substitution0:
% 15.43/15.85 X := X
% 15.43/15.85 Y := Y
% 15.43/15.85 Z := Z
% 15.43/15.85 T := T
% 15.43/15.85 U := U
% 15.43/15.85 W := W
% 15.43/15.85 end
% 15.43/15.85 substitution1:
% 15.43/15.85 X := X
% 15.43/15.85 Y := Y
% 15.43/15.85 Z := W
% 15.43/15.85 T := U
% 15.43/15.85 end
% 15.43/15.85
% 15.43/15.85 subsumption: (53048) {G17,W9,D2,L1,V6,M1} R(52955,790) { eqangle( X, Y, Z,
% 15.43/15.85 T, U, W, Z, T ) }.
% 15.43/15.85 parent0: (53800) {G2,W9,D2,L1,V6,M1} { eqangle( X, Y, Z, T, U, W, Z, T )
% 15.43/15.85 }.
% 15.43/15.85 substitution0:
% 15.43/15.85 X := X
% 15.43/15.85 Y := Y
% 15.43/15.85 Z := Z
% 15.43/15.85 T := T
% 15.43/15.85 U := U
% 15.43/15.85 W := W
% 15.43/15.85 end
% 15.43/15.85 permutation0:
% 15.43/15.85 0 ==> 0
% 15.43/15.85 end
% 15.43/15.85
% 15.43/15.85 resolution: (53801) {G2,W9,D2,L1,V6,M1} { eqangle( X, Y, Z, T, U, W, U, W
% 15.43/15.85 ) }.
% 15.43/15.85 parent0[0]: (784) {G1,W14,D2,L2,V6,M2} R(39,20) { ! para( X, Y, Z, T ),
% 15.43/15.85 eqangle( X, Y, Z, T, U, W, U, W ) }.
% 15.43/15.85 parent1[0]: (52955) {G16,W5,D2,L1,V4,M1} R(52922,297);r(52922) { para( X, Y
% 15.43/15.85 , Z, T ) }.
% 15.43/15.85 substitution0:
% 15.43/15.85 X := X
% 15.43/15.85 Y := Y
% 15.43/15.85 Z := Z
% 15.43/15.85 T := T
% 15.43/15.85 U := U
% 15.43/15.85 W := W
% 15.43/15.85 end
% 15.43/15.85 substitution1:
% 15.43/15.85 X := X
% 15.43/15.85 Y := Y
% 15.43/15.85 Z := Z
% 15.43/15.85 T := T
% 15.43/15.85 end
% 15.43/15.85
% 15.43/15.85 subsumption: (53050) {G17,W9,D2,L1,V6,M1} R(52955,784) { eqangle( X, Y, Z,
% 15.43/15.85 T, U, W, U, W ) }.
% 15.43/15.85 parent0: (53801) {G2,W9,D2,L1,V6,M1} { eqangle( X, Y, Z, T, U, W, U, W )
% 15.43/15.85 }.
% 15.43/15.85 substitution0:
% 15.43/15.85 X := X
% 15.43/15.85 Y := Y
% 15.43/15.85 Z := Z
% 15.43/15.85 T := T
% 15.43/15.85 U := U
% 15.43/15.85 W := W
% 15.43/15.85 end
% 15.43/15.85 permutation0:
% 15.43/15.85 0 ==> 0
% 15.43/15.85 end
% 15.43/15.85
% 15.43/15.85 resolution: (53802) {G2,W9,D2,L1,V6,M1} { eqangle( Z, T, Z, T, X, Y, U, W
% 15.43/15.85 ) }.
% 15.43/15.85 parent0[0]: (520) {G1,W18,D2,L2,V8,M2} R(20,19) { ! eqangle( X, Y, Z, T, U
% 15.43/15.85 , W, V0, V1 ), eqangle( Z, T, V0, V1, X, Y, U, W ) }.
% 15.43/15.85 parent1[0]: (53048) {G17,W9,D2,L1,V6,M1} R(52955,790) { eqangle( X, Y, Z, T
% 15.43/15.85 , U, W, Z, T ) }.
% 15.43/15.85 substitution0:
% 15.43/15.85 X := X
% 15.43/15.85 Y := Y
% 15.43/15.85 Z := Z
% 15.43/15.85 T := T
% 15.43/15.85 U := U
% 15.43/15.85 W := W
% 15.43/15.85 V0 := Z
% 15.43/15.85 V1 := T
% 15.43/15.85 end
% 15.43/15.85 substitution1:
% 15.43/15.85 X := X
% 15.43/15.85 Y := Y
% 15.43/15.85 Z := Z
% 15.43/15.85 T := T
% 15.43/15.85 U := U
% 15.43/15.85 W := W
% 15.43/15.85 end
% 15.43/15.85
% 15.43/15.85 subsumption: (53258) {G18,W9,D2,L1,V6,M1} R(53048,520) { eqangle( X, Y, X,
% 15.43/15.85 Y, Z, T, U, W ) }.
% 15.43/15.85 parent0: (53802) {G2,W9,D2,L1,V6,M1} { eqangle( Z, T, Z, T, X, Y, U, W )
% 15.43/15.85 }.
% 15.43/15.85 substitution0:
% 15.43/15.85 X := Z
% 15.43/15.85 Y := T
% 15.43/15.85 Z := X
% 15.43/15.85 T := Y
% 15.43/15.85 U := U
% 15.43/15.85 W := W
% 15.43/15.85 end
% 15.43/15.85 permutation0:
% 15.43/15.85 0 ==> 0
% 15.43/15.85 end
% 15.43/15.85
% 15.43/15.85 resolution: (53803) {G2,W18,D2,L2,V10,M2} { eqangle( V0, V1, V2, V3, Z, T
% 15.43/15.85 , U, W ), ! eqangle( V1, V0, V2, V3, X, Y, X, Y ) }.
% 15.43/15.85 parent0[0]: (540) {G1,W27,D2,L3,V12,M3} R(21,17) { ! eqangle( X, Y, Z, T, U
% 15.43/15.85 , W, V0, V1 ), eqangle( V2, V3, V4, V5, U, W, V0, V1 ), ! eqangle( V3, V2
% 15.43/15.85 , V4, V5, X, Y, Z, T ) }.
% 15.43/15.85 parent1[0]: (53258) {G18,W9,D2,L1,V6,M1} R(53048,520) { eqangle( X, Y, X, Y
% 15.43/15.85 , Z, T, U, W ) }.
% 15.43/15.85 substitution0:
% 15.43/15.85 X := X
% 15.43/15.85 Y := Y
% 15.43/15.85 Z := X
% 15.43/15.85 T := Y
% 15.43/15.85 U := Z
% 15.43/15.85 W := T
% 15.43/15.85 V0 := U
% 15.43/15.85 V1 := W
% 15.43/15.85 V2 := V0
% 15.43/15.85 V3 := V1
% 15.43/15.85 V4 := V2
% 15.43/15.85 V5 := V3
% 15.43/15.85 end
% 15.43/15.85 substitution1:
% 15.43/15.85 X := X
% 15.43/15.85 Y := Y
% 15.43/15.85 Z := Z
% 15.43/15.85 T := T
% 15.43/15.85 U := U
% 15.43/15.85 W := W
% 15.43/15.85 end
% 15.43/15.85
% 15.43/15.85 resolution: (53805) {G3,W9,D2,L1,V8,M1} { eqangle( X, Y, Z, T, U, W, V0,
% 15.43/15.85 V1 ) }.
% 15.43/15.85 parent0[1]: (53803) {G2,W18,D2,L2,V10,M2} { eqangle( V0, V1, V2, V3, Z, T
% 15.43/15.85 , U, W ), ! eqangle( V1, V0, V2, V3, X, Y, X, Y ) }.
% 15.43/15.85 parent1[0]: (53050) {G17,W9,D2,L1,V6,M1} R(52955,784) { eqangle( X, Y, Z, T
% 15.43/15.85 , U, W, U, W ) }.
% 15.43/15.85 substitution0:
% 15.43/15.85 X := V2
% 15.43/15.85 Y := V3
% 15.43/15.85 Z := U
% 15.43/15.85 T := W
% 15.43/15.85 U := V0
% 15.43/15.85 W := V1
% 15.43/15.85 V0 := X
% 15.43/15.85 V1 := Y
% 15.43/15.85 V2 := Z
% 15.43/15.85 V3 := T
% 15.43/15.85 end
% 15.43/15.85 substitution1:
% 15.43/15.85 X := Y
% 15.43/15.85 Y := X
% 15.43/15.85 Z := Z
% 15.43/15.85 T := T
% 15.43/15.85 U := V2
% 15.43/15.85 W := V3
% 15.43/15.85 end
% 15.43/15.85
% 15.43/15.85 subsumption: (53260) {G19,W9,D2,L1,V8,M1} R(53258,540);r(53050) { eqangle(
% 15.43/15.85 X, Y, Z, T, U, W, V0, V1 ) }.
% 15.43/15.85 parent0: (53805) {G3,W9,D2,L1,V8,M1} { eqangle( X, Y, Z, T, U, W, V0, V1 )
% 15.43/15.85 }.
% 15.43/15.85 substitution0:
% 15.43/15.85 X := X
% 15.43/15.85 Y := Y
% 15.43/15.85 Z := Z
% 15.43/15.85 T := T
% 15.43/15.85 U := U
% 15.43/15.85 W := W
% 15.43/15.85 V0 := V0
% 15.43/15.85 V1 := V1
% 15.43/15.85 end
% 15.43/15.85 permutation0:
% 15.43/15.85 0 ==> 0
% 15.43/15.85 end
% 15.43/15.85
% 15.43/15.85 resolution: (53806) {G1,W0,D0,L0,V0,M0} { }.
% 15.43/15.85 parent0[0]: (129) {G0,W9,D2,L1,V0,M1} I { ! eqangle( skol20, skol23, skol23
% 15.43/15.85 , skol22, skol23, skol22, skol22, skol20 ) }.
% 15.43/15.85 parent1[0]: (53260) {G19,W9,D2,L1,V8,M1} R(53258,540);r(53050) { eqangle( X
% 15.43/15.85 , Y, Z, T, U, W, V0, V1 ) }.
% 15.43/15.85 substitution0:
% 15.43/15.85 end
% 15.43/15.85 substitution1:
% 15.43/15.85 X := skol20
% 15.43/15.85 Y := skol23
% 15.43/15.85 Z := skol23
% 15.43/15.85 T := skol22
% 15.43/15.85 U := skol23
% 15.43/15.85 W := skol22
% 15.43/15.85 V0 := skol22
% 15.43/15.85 V1 := skol20
% 15.43/15.85 end
% 15.43/15.85
% 15.43/15.85 subsumption: (53261) {G20,W0,D0,L0,V0,M0} R(53260,129) { }.
% 15.43/15.85 parent0: (53806) {G1,W0,D0,L0,V0,M0} { }.
% 15.43/15.85 substitution0:
% 15.43/15.85 end
% 15.43/15.85 permutation0:
% 15.43/15.85 end
% 15.43/15.85
% 15.43/15.85 Proof check complete!
% 15.43/15.85
% 15.43/15.85 Memory use:
% 15.43/15.85
% 15.43/15.85 space for terms: 718523
% 15.43/15.85 space for clauses: 2487763
% 15.43/15.85
% 15.43/15.85
% 15.43/15.85 clauses generated: 404236
% 15.43/15.85 clauses kept: 53262
% 15.43/15.85 clauses selected: 3802
% 15.43/15.85 clauses deleted: 16255
% 15.43/15.85 clauses inuse deleted: 3642
% 15.43/15.85
% 15.43/15.85 subsentry: 10564240
% 15.43/15.85 literals s-matched: 5778720
% 15.43/15.85 literals matched: 2868941
% 15.43/15.85 full subsumption: 1283525
% 15.43/15.85
% 15.43/15.85 checksum: -269525380
% 15.43/15.85
% 15.43/15.85
% 15.43/15.85 Bliksem ended
%------------------------------------------------------------------------------