TSTP Solution File: GEO543+1 by Bliksem---1.12
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : GEO543+1 : TPTP v8.1.0. Released v7.5.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n005.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 02:54:36 EDT 2022
% Result : Theorem 123.61s 124.06s
% Output : Refutation 123.61s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.11 % Problem : GEO543+1 : TPTP v8.1.0. Released v7.5.0.
% 0.10/0.12 % Command : bliksem %s
% 0.12/0.33 % Computer : n005.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % DateTime : Fri Jun 17 18:04:53 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.70/1.13 *** allocated 10000 integers for termspace/termends
% 0.70/1.13 *** allocated 10000 integers for clauses
% 0.70/1.13 *** allocated 10000 integers for justifications
% 0.70/1.13 Bliksem 1.12
% 0.70/1.13
% 0.70/1.13
% 0.70/1.13 Automatic Strategy Selection
% 0.70/1.13
% 0.70/1.13 *** allocated 15000 integers for termspace/termends
% 0.70/1.13
% 0.70/1.13 Clauses:
% 0.70/1.13
% 0.70/1.13 { ! coll( X, Y, Z ), coll( X, Z, Y ) }.
% 0.70/1.13 { ! coll( X, Y, Z ), coll( Y, X, Z ) }.
% 0.70/1.13 { ! coll( X, T, Y ), ! coll( X, T, Z ), coll( Y, Z, X ) }.
% 0.70/1.13 { ! para( X, Y, Z, T ), para( X, Y, T, Z ) }.
% 0.70/1.13 { ! para( X, Y, Z, T ), para( Z, T, X, Y ) }.
% 0.70/1.13 { ! para( X, Y, U, W ), ! para( U, W, Z, T ), para( X, Y, Z, T ) }.
% 0.70/1.13 { ! perp( X, Y, Z, T ), perp( X, Y, T, Z ) }.
% 0.70/1.13 { ! perp( X, Y, Z, T ), perp( Z, T, X, Y ) }.
% 0.70/1.13 { ! perp( X, Y, U, W ), ! perp( U, W, Z, T ), para( X, Y, Z, T ) }.
% 0.70/1.13 { ! para( X, Y, U, W ), ! perp( U, W, Z, T ), perp( X, Y, Z, T ) }.
% 0.70/1.13 { ! midp( Z, Y, X ), midp( Z, X, Y ) }.
% 0.70/1.13 { ! cong( T, X, T, Y ), ! cong( T, X, T, Z ), circle( T, X, Y, Z ) }.
% 0.70/1.13 { ! cong( U, X, U, Y ), ! cong( U, X, U, Z ), ! cong( U, X, U, T ), cyclic
% 0.70/1.13 ( X, Y, Z, T ) }.
% 0.70/1.13 { ! cyclic( X, Y, Z, T ), cyclic( X, Y, T, Z ) }.
% 0.70/1.13 { ! cyclic( X, Y, Z, T ), cyclic( X, Z, Y, T ) }.
% 0.70/1.13 { ! cyclic( X, Y, Z, T ), cyclic( Y, X, Z, T ) }.
% 0.70/1.13 { ! cyclic( U, X, Y, Z ), ! cyclic( U, X, Y, T ), cyclic( X, Y, Z, T ) }.
% 0.70/1.13 { ! eqangle( X, Y, Z, T, U, W, V0, V1 ), eqangle( Y, X, Z, T, U, W, V0, V1
% 0.70/1.13 ) }.
% 0.70/1.13 { ! eqangle( X, Y, Z, T, U, W, V0, V1 ), eqangle( Z, T, X, Y, V0, V1, U, W
% 0.70/1.13 ) }.
% 0.70/1.13 { ! eqangle( X, Y, Z, T, U, W, V0, V1 ), eqangle( U, W, V0, V1, X, Y, Z, T
% 0.70/1.13 ) }.
% 0.70/1.13 { ! eqangle( X, Y, Z, T, U, W, V0, V1 ), eqangle( X, Y, U, W, Z, T, V0, V1
% 0.70/1.13 ) }.
% 0.70/1.13 { ! eqangle( X, Y, Z, T, V2, V3, V4, V5 ), ! eqangle( V2, V3, V4, V5, U, W
% 0.70/1.13 , V0, V1 ), eqangle( X, Y, Z, T, U, W, V0, V1 ) }.
% 0.70/1.13 { ! cong( X, Y, Z, T ), cong( X, Y, T, Z ) }.
% 0.70/1.13 { ! cong( X, Y, Z, T ), cong( Z, T, X, Y ) }.
% 0.70/1.13 { ! cong( X, Y, U, W ), ! cong( U, W, Z, T ), cong( X, Y, Z, T ) }.
% 0.70/1.13 { ! eqratio( X, Y, Z, T, U, W, V0, V1 ), eqratio( Y, X, Z, T, U, W, V0, V1
% 0.70/1.13 ) }.
% 0.70/1.13 { ! eqratio( X, Y, Z, T, U, W, V0, V1 ), eqratio( Z, T, X, Y, V0, V1, U, W
% 0.70/1.13 ) }.
% 0.70/1.13 { ! eqratio( X, Y, Z, T, U, W, V0, V1 ), eqratio( U, W, V0, V1, X, Y, Z, T
% 0.70/1.13 ) }.
% 0.70/1.13 { ! eqratio( X, Y, Z, T, U, W, V0, V1 ), eqratio( X, Y, U, W, Z, T, V0, V1
% 0.70/1.13 ) }.
% 0.70/1.13 { ! eqratio( X, Y, Z, T, V2, V3, V4, V5 ), ! eqratio( V2, V3, V4, V5, U, W
% 0.70/1.13 , V0, V1 ), eqratio( X, Y, Z, T, U, W, V0, V1 ) }.
% 0.70/1.13 { ! simtri( X, Z, Y, T, W, U ), simtri( X, Y, Z, T, U, W ) }.
% 0.70/1.13 { ! simtri( Y, X, Z, U, T, W ), simtri( X, Y, Z, T, U, W ) }.
% 0.70/1.13 { ! simtri( T, U, W, X, Y, Z ), simtri( X, Y, Z, T, U, W ) }.
% 0.70/1.13 { ! simtri( X, Y, Z, V0, V1, V2 ), ! simtri( V0, V1, V2, T, U, W ), simtri
% 0.70/1.13 ( X, Y, Z, T, U, W ) }.
% 0.70/1.13 { ! contri( X, Z, Y, T, W, U ), contri( X, Y, Z, T, U, W ) }.
% 0.70/1.13 { ! contri( Y, X, Z, U, T, W ), contri( X, Y, Z, T, U, W ) }.
% 0.70/1.13 { ! contri( T, U, W, X, Y, Z ), contri( X, Y, Z, T, U, W ) }.
% 0.70/1.13 { ! contri( X, Y, Z, V0, V1, V2 ), ! contri( V0, V1, V2, T, U, W ), contri
% 0.70/1.13 ( X, Y, Z, T, U, W ) }.
% 0.70/1.13 { ! eqangle( X, Y, U, W, Z, T, U, W ), para( X, Y, Z, T ) }.
% 0.70/1.13 { ! para( X, Y, Z, T ), eqangle( X, Y, U, W, Z, T, U, W ) }.
% 0.70/1.13 { ! cyclic( X, Y, Z, T ), eqangle( Z, X, Z, Y, T, X, T, Y ) }.
% 0.70/1.13 { ! eqangle( Z, X, Z, Y, T, X, T, Y ), coll( Z, T, X ), cyclic( X, Y, Z, T
% 0.70/1.13 ) }.
% 0.70/1.13 { ! eqangle( Z, X, Z, Y, T, X, T, Y ), ! coll( Z, T, Y ), cyclic( X, Y, Z,
% 0.70/1.13 T ) }.
% 0.70/1.13 { ! cyclic( X, Y, U, Z ), ! cyclic( X, Y, U, T ), ! cyclic( X, Y, U, W ), !
% 0.70/1.13 eqangle( U, X, U, Y, W, Z, W, T ), cong( X, Y, Z, T ) }.
% 0.70/1.13 { ! midp( Z, U, X ), ! midp( T, U, Y ), para( Z, T, X, Y ) }.
% 0.70/1.13 { ! midp( U, X, T ), ! para( U, Z, T, Y ), ! coll( Z, X, Y ), midp( Z, X, Y
% 0.70/1.13 ) }.
% 0.70/1.13 { ! cong( Z, X, Z, Y ), eqangle( Z, X, X, Y, X, Y, Z, Y ) }.
% 0.70/1.13 { ! eqangle( Z, X, X, Y, X, Y, Z, Y ), coll( Z, X, Y ), cong( Z, X, Z, Y )
% 0.70/1.13 }.
% 0.70/1.13 { ! circle( U, X, Y, Z ), ! perp( U, X, X, T ), eqangle( X, T, X, Y, Z, X,
% 0.70/1.13 Z, Y ) }.
% 0.70/1.13 { ! circle( Y, X, T, U ), ! eqangle( X, Z, X, T, U, X, U, T ), perp( Y, X,
% 0.70/1.13 X, Z ) }.
% 0.70/1.13 { ! circle( T, X, Y, Z ), ! midp( U, Y, Z ), eqangle( X, Y, X, Z, T, Y, T,
% 0.70/1.13 U ) }.
% 0.70/1.13 { ! circle( U, T, X, Y ), ! coll( Z, X, Y ), ! eqangle( T, X, T, Y, U, X, U
% 0.70/1.13 , Z ), midp( Z, X, Y ) }.
% 0.70/1.13 { ! perp( X, Y, Y, T ), ! midp( Z, X, T ), cong( X, Z, Y, Z ) }.
% 0.70/1.13 { ! circle( T, X, Y, Z ), ! coll( T, X, Z ), perp( X, Y, Y, Z ) }.
% 0.70/1.13 { ! cyclic( X, Y, Z, T ), ! para( X, Y, Z, T ), eqangle( X, T, Z, T, Z, T,
% 0.70/1.13 Z, Y ) }.
% 0.70/1.13 { ! midp( T, X, Y ), ! perp( Z, T, X, Y ), cong( Z, X, Z, Y ) }.
% 0.70/1.13 { ! cong( X, Z, Y, Z ), ! cong( X, T, Y, T ), perp( X, Y, Z, T ) }.
% 0.70/1.13 { ! cong( X, Y, T, Y ), ! cong( X, Z, T, Z ), ! cyclic( X, T, Y, Z ), perp
% 0.70/1.13 ( Y, X, X, Z ) }.
% 0.70/1.13 { ! eqangle( X, Y, Y, Z, T, U, U, W ), ! eqangle( X, Z, Y, Z, T, W, U, W )
% 0.70/1.13 , coll( X, Y, Z ), simtri( X, Y, Z, T, U, W ) }.
% 0.70/1.13 { ! simtri( X, Y, Z, T, U, W ), eqratio( X, Y, X, Z, T, U, T, W ) }.
% 0.70/1.13 { ! simtri( X, Y, Z, T, U, W ), eqangle( X, Y, Y, Z, T, U, U, W ) }.
% 0.70/1.13 { ! simtri( X, Y, Z, T, U, W ), ! cong( X, Y, T, U ), contri( X, Y, Z, T, U
% 0.70/1.13 , W ) }.
% 0.70/1.13 { ! contri( X, Y, U, Z, T, W ), cong( X, Y, Z, T ) }.
% 0.70/1.13 { ! midp( U, X, Y ), ! midp( U, Z, T ), para( X, Z, Y, T ) }.
% 0.70/1.13 { ! midp( Z, T, U ), ! para( T, X, U, Y ), ! para( T, Y, U, X ), midp( Z, X
% 0.70/1.13 , Y ) }.
% 0.70/1.13 { ! para( X, Y, Z, T ), ! coll( U, X, Z ), ! coll( U, Y, T ), eqratio( U, X
% 0.70/1.13 , X, Z, U, Y, Y, T ) }.
% 0.70/1.13 { ! para( X, Y, X, Z ), coll( X, Y, Z ) }.
% 0.70/1.13 { ! cong( X, Y, X, Z ), ! coll( X, Y, Z ), midp( X, Y, Z ) }.
% 0.70/1.13 { ! midp( X, Y, Z ), cong( X, Y, X, Z ) }.
% 0.70/1.13 { ! midp( X, Y, Z ), coll( X, Y, Z ) }.
% 0.70/1.13 { ! midp( U, X, Y ), ! midp( W, Z, T ), eqratio( U, X, X, Y, W, Z, Z, T ) }
% 0.70/1.13 .
% 0.70/1.13 { ! eqangle( X, Y, Z, T, Z, T, X, Y ), para( X, Y, Z, T ), perp( X, Y, Z, T
% 0.70/1.13 ) }.
% 0.70/1.13 { ! eqangle( X, Y, Z, T, Z, T, X, Y ), perp( X, Y, Z, T ), para( X, Y, Z, T
% 0.70/1.13 ) }.
% 0.70/1.13 { ! eqangle( X, Y, Z, T, U, W, V0, V1 ), ! para( U, W, V0, V1 ), para( X, Y
% 0.70/1.13 , Z, T ) }.
% 0.70/1.13 { ! eqangle( X, Y, Z, T, U, W, V0, V1 ), ! perp( U, W, V0, V1 ), perp( X, Y
% 0.70/1.13 , Z, T ) }.
% 0.70/1.13 { ! eqratio( X, Y, Z, T, U, W, V0, V1 ), ! cong( U, W, V0, V1 ), cong( X, Y
% 0.70/1.13 , Z, T ) }.
% 0.70/1.13 { ! perp( Z, Y, Y, X ), ! eqangle( T, Z, Y, Z, Y, Z, X, Z ), coll( skol1( U
% 0.70/1.13 , W, Z, T ), Z, T ) }.
% 0.70/1.13 { ! perp( Z, Y, Y, X ), ! eqangle( T, Z, Y, Z, Y, Z, X, Z ), coll( skol1( X
% 0.70/1.13 , Y, Z, T ), X, Y ) }.
% 0.70/1.13 { ! cong( Z, X, Z, Y ), ! eqangle( X, Z, Z, T, Z, T, Z, Y ), coll( skol2( U
% 0.70/1.13 , W, Z, T ), Z, T ) }.
% 0.70/1.13 { ! cong( Z, X, Z, Y ), ! eqangle( X, Z, Z, T, Z, T, Z, Y ), coll( Y, X,
% 0.70/1.13 skol2( X, Y, Z, T ) ) }.
% 0.70/1.13 { ! perp( Z, T, X, Y ), ! eqangle( X, Z, Z, T, Z, T, Z, Y ), coll( skol3( U
% 0.70/1.13 , W, Z, T ), Z, T ) }.
% 0.70/1.13 { ! perp( Z, T, X, Y ), ! eqangle( X, Z, Z, T, Z, T, Z, Y ), coll( Y, X,
% 0.70/1.13 skol3( X, Y, Z, T ) ) }.
% 0.70/1.13 { ! perp( Z, T, X, Y ), ! cong( Z, X, Z, Y ), coll( skol4( U, W, Z, T ), Z
% 0.70/1.13 , T ) }.
% 0.70/1.13 { ! perp( Z, T, X, Y ), ! cong( Z, X, Z, Y ), coll( Y, X, skol4( X, Y, Z, T
% 0.70/1.13 ) ) }.
% 0.70/1.13 { ! eqangle( X, Z, Y, Z, X, T, Y, U ), coll( X, Y, Z ), cyclic( T, Y, Z,
% 0.70/1.13 skol5( W, Y, Z, T ) ) }.
% 0.70/1.13 { ! eqangle( X, Z, Y, Z, X, T, Y, U ), coll( X, Y, Z ), eqangle( X, Z, Y, Z
% 0.70/1.13 , X, skol5( X, Y, Z, T ), Y, skol5( X, Y, Z, T ) ) }.
% 0.70/1.13 { ! midp( U, X, Y ), ! midp( W, Z, T ), midp( skol6( X, V0, V1, T, V2, V3 )
% 0.70/1.13 , X, T ) }.
% 0.70/1.13 { ! midp( U, X, Y ), ! midp( W, Z, T ), para( skol6( X, V0, Z, T, V1, W ),
% 0.70/1.13 W, X, Z ) }.
% 0.70/1.13 { ! midp( U, X, Y ), ! midp( W, Z, T ), para( skol6( X, Y, Z, T, U, W ), U
% 0.70/1.13 , Y, T ) }.
% 0.70/1.13 { ! midp( Z, X, Y ), ! midp( W, T, U ), ! coll( T, X, Y ), ! coll( U, X, Y
% 0.70/1.13 ), midp( skol7( X, V0 ), X, V0 ) }.
% 0.70/1.13 { ! midp( T, X, U ), ! para( X, W, Z, T ), ! para( X, W, U, Y ), ! coll( W
% 0.70/1.13 , Y, Z ), coll( skol8( V0, V1, Z, T ), T, Z ) }.
% 0.70/1.13 { ! midp( T, X, U ), ! para( X, W, Z, T ), ! para( X, W, U, Y ), ! coll( W
% 0.70/1.13 , Y, Z ), coll( skol8( X, Y, Z, T ), X, Y ) }.
% 0.70/1.13 { ! cong( T, Z, T, U ), ! perp( X, Y, Y, T ), cong( T, Z, T, skol9( W, V0,
% 0.70/1.13 Z, T ) ) }.
% 0.70/1.13 { ! cong( T, Z, T, U ), ! perp( X, Y, Y, T ), cong( Y, Z, Y, skol9( W, Y, Z
% 0.70/1.13 , T ) ) }.
% 0.70/1.13 { ! cong( T, Z, T, U ), ! perp( X, Y, Y, T ), para( skol9( X, Y, Z, T ), Z
% 0.70/1.13 , X, Y ) }.
% 0.70/1.13 { ! perp( X, T, Y, Z ), ! perp( Y, T, X, Z ), coll( skol10( U, Y, Z ), Z, Y
% 0.70/1.13 ) }.
% 0.70/1.13 { ! perp( X, T, Y, Z ), ! perp( Y, T, X, Z ), perp( X, skol10( X, Y, Z ), Z
% 0.70/1.13 , Y ) }.
% 0.70/1.13 { ! perp( X, T, Y, Z ), ! perp( Y, T, X, Z ), alpha1( X, Y, Z ) }.
% 0.70/1.13 { ! alpha1( X, Y, Z ), coll( skol11( X, T, Z ), Z, X ) }.
% 0.70/1.13 { ! alpha1( X, Y, Z ), perp( Y, skol11( X, Y, Z ), Z, X ) }.
% 0.70/1.13 { ! coll( T, Z, X ), ! perp( Y, T, Z, X ), alpha1( X, Y, Z ) }.
% 0.70/1.13 { ! circle( Y, X, Z, T ), perp( skol12( X, Y ), X, X, Y ) }.
% 3.35/3.73 { ! circle( W, X, Y, Z ), ! cong( W, X, W, T ), ! cong( U, X, U, Y ), W = U
% 3.35/3.73 , alpha2( X, Z, U, skol13( X, V0, Z, V1, U ) ) }.
% 3.35/3.73 { ! circle( W, X, Y, Z ), ! cong( W, X, W, T ), ! cong( U, X, U, Y ), W = U
% 3.35/3.73 , coll( skol21( V0, Y, T, V1 ), Y, T ) }.
% 3.35/3.73 { ! circle( W, X, Y, Z ), ! cong( W, X, W, T ), ! cong( U, X, U, Y ), W = U
% 3.35/3.73 , cong( skol21( X, Y, T, U ), U, U, X ) }.
% 3.35/3.73 { ! alpha2( X, Y, Z, T ), coll( T, X, Y ) }.
% 3.35/3.73 { ! alpha2( X, Y, Z, T ), cong( T, Z, Z, X ) }.
% 3.35/3.73 { ! coll( T, X, Y ), ! cong( T, Z, Z, X ), alpha2( X, Y, Z, T ) }.
% 3.35/3.73 { ! cyclic( X, Y, Z, T ), ! para( X, Y, Z, T ), ! midp( U, X, Y ), circle(
% 3.35/3.73 skol14( X, Y, Z ), X, Y, Z ) }.
% 3.35/3.73 { ! perp( X, Z, Z, Y ), ! cyclic( X, Y, Z, T ), circle( skol15( X, Y, Z ),
% 3.35/3.73 X, Y, Z ) }.
% 3.35/3.73 { ! perp( X, U, U, T ), ! coll( T, Y, Z ), coll( skol16( W, Y, Z ), Y, Z )
% 3.35/3.73 }.
% 3.35/3.73 { ! perp( X, U, U, T ), ! coll( T, Y, Z ), perp( skol16( X, Y, Z ), X, Y, Z
% 3.35/3.73 ) }.
% 3.35/3.73 { ! perp( X, Z, X, Y ), ! perp( Y, X, Y, T ), ! midp( U, Z, T ), midp(
% 3.35/3.73 skol17( X, Y ), X, Y ) }.
% 3.35/3.73 { ! cong( Y, X, Y, Z ), ! perp( X, Y, Y, Z ), coll( X, Y, skol18( X, Y ) )
% 3.35/3.73 }.
% 3.35/3.73 { ! cong( Y, X, Y, Z ), ! perp( X, Y, Y, Z ), cong( Y, X, Y, skol18( X, Y )
% 3.35/3.73 ) }.
% 3.35/3.73 { ! para( U, W, X, Y ), ! coll( Z, U, X ), ! coll( Z, W, Y ), ! coll( T, U
% 3.35/3.73 , W ), coll( Z, T, skol19( V0, V1, Z, T ) ) }.
% 3.35/3.73 { ! para( U, W, X, Y ), ! coll( Z, U, X ), ! coll( Z, W, Y ), ! coll( T, U
% 3.35/3.73 , W ), coll( skol19( X, Y, Z, T ), X, Y ) }.
% 3.35/3.73 { perp( skol20, skol25, skol26, skol27 ) }.
% 3.35/3.73 { coll( skol20, skol26, skol27 ) }.
% 3.35/3.73 { perp( skol28, skol26, skol25, skol27 ) }.
% 3.35/3.73 { coll( skol28, skol25, skol27 ) }.
% 3.35/3.73 { perp( skol29, skol27, skol25, skol26 ) }.
% 3.35/3.73 { coll( skol29, skol25, skol26 ) }.
% 3.35/3.73 { coll( skol22, skol26, skol28 ) }.
% 3.35/3.73 { coll( skol22, skol27, skol29 ) }.
% 3.35/3.73 { midp( skol30, skol27, skol26 ) }.
% 3.35/3.73 { midp( skol23, skol28, skol26 ) }.
% 3.35/3.73 { midp( skol24, skol29, skol27 ) }.
% 3.35/3.73 { ! cyclic( skol23, skol24, skol22, skol20 ) }.
% 3.35/3.73
% 3.35/3.73 percentage equality = 0.008671, percentage horn = 0.929688
% 3.35/3.73 This is a problem with some equality
% 3.35/3.73
% 3.35/3.73
% 3.35/3.73
% 3.35/3.73 Options Used:
% 3.35/3.73
% 3.35/3.73 useres = 1
% 3.35/3.73 useparamod = 1
% 3.35/3.73 useeqrefl = 1
% 3.35/3.73 useeqfact = 1
% 3.35/3.73 usefactor = 1
% 3.35/3.73 usesimpsplitting = 0
% 3.35/3.73 usesimpdemod = 5
% 3.35/3.73 usesimpres = 3
% 3.35/3.73
% 3.35/3.73 resimpinuse = 1000
% 3.35/3.73 resimpclauses = 20000
% 3.35/3.73 substype = eqrewr
% 3.35/3.73 backwardsubs = 1
% 3.35/3.73 selectoldest = 5
% 3.35/3.73
% 3.35/3.73 litorderings [0] = split
% 3.35/3.73 litorderings [1] = extend the termordering, first sorting on arguments
% 3.35/3.73
% 3.35/3.73 termordering = kbo
% 3.35/3.73
% 3.35/3.73 litapriori = 0
% 3.35/3.73 termapriori = 1
% 3.35/3.73 litaposteriori = 0
% 3.35/3.73 termaposteriori = 0
% 3.35/3.73 demodaposteriori = 0
% 3.35/3.73 ordereqreflfact = 0
% 3.35/3.73
% 3.35/3.73 litselect = negord
% 3.35/3.73
% 3.35/3.73 maxweight = 15
% 3.35/3.73 maxdepth = 30000
% 3.35/3.73 maxlength = 115
% 3.35/3.73 maxnrvars = 195
% 3.35/3.73 excuselevel = 1
% 3.35/3.73 increasemaxweight = 1
% 3.35/3.73
% 3.35/3.73 maxselected = 10000000
% 3.35/3.73 maxnrclauses = 10000000
% 3.35/3.73
% 3.35/3.73 showgenerated = 0
% 3.35/3.73 showkept = 0
% 3.35/3.73 showselected = 0
% 3.35/3.73 showdeleted = 0
% 3.35/3.73 showresimp = 1
% 3.35/3.73 showstatus = 2000
% 3.35/3.73
% 3.35/3.73 prologoutput = 0
% 3.35/3.73 nrgoals = 5000000
% 3.35/3.73 totalproof = 1
% 3.35/3.73
% 3.35/3.73 Symbols occurring in the translation:
% 3.35/3.73
% 3.35/3.73 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 3.35/3.73 . [1, 2] (w:1, o:40, a:1, s:1, b:0),
% 3.35/3.73 ! [4, 1] (w:0, o:35, a:1, s:1, b:0),
% 3.35/3.73 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 3.35/3.73 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 3.35/3.73 coll [38, 3] (w:1, o:68, a:1, s:1, b:0),
% 3.35/3.73 para [40, 4] (w:1, o:76, a:1, s:1, b:0),
% 3.35/3.73 perp [43, 4] (w:1, o:77, a:1, s:1, b:0),
% 3.35/3.73 midp [45, 3] (w:1, o:69, a:1, s:1, b:0),
% 3.35/3.73 cong [47, 4] (w:1, o:78, a:1, s:1, b:0),
% 3.35/3.73 circle [48, 4] (w:1, o:79, a:1, s:1, b:0),
% 3.35/3.73 cyclic [49, 4] (w:1, o:80, a:1, s:1, b:0),
% 3.35/3.73 eqangle [54, 8] (w:1, o:95, a:1, s:1, b:0),
% 3.35/3.73 eqratio [57, 8] (w:1, o:96, a:1, s:1, b:0),
% 3.35/3.73 simtri [59, 6] (w:1, o:92, a:1, s:1, b:0),
% 3.35/3.73 contri [60, 6] (w:1, o:93, a:1, s:1, b:0),
% 3.35/3.73 alpha1 [65, 3] (w:1, o:70, a:1, s:1, b:1),
% 3.35/3.73 alpha2 [66, 4] (w:1, o:81, a:1, s:1, b:1),
% 3.35/3.73 skol1 [67, 4] (w:1, o:82, a:1, s:1, b:1),
% 3.35/3.73 skol2 [68, 4] (w:1, o:84, a:1, s:1, b:1),
% 3.35/3.73 skol3 [69, 4] (w:1, o:86, a:1, s:1, b:1),
% 3.35/3.73 skol4 [70, 4] (w:1, o:87, a:1, s:1, b:1),
% 3.35/3.73 skol5 [71, 4] (w:1, o:88, a:1, s:1, b:1),
% 25.81/26.24 skol6 [72, 6] (w:1, o:94, a:1, s:1, b:1),
% 25.81/26.24 skol7 [73, 2] (w:1, o:64, a:1, s:1, b:1),
% 25.81/26.24 skol8 [74, 4] (w:1, o:89, a:1, s:1, b:1),
% 25.81/26.24 skol9 [75, 4] (w:1, o:90, a:1, s:1, b:1),
% 25.81/26.24 skol10 [76, 3] (w:1, o:71, a:1, s:1, b:1),
% 25.81/26.24 skol11 [77, 3] (w:1, o:72, a:1, s:1, b:1),
% 25.81/26.24 skol12 [78, 2] (w:1, o:65, a:1, s:1, b:1),
% 25.81/26.24 skol13 [79, 5] (w:1, o:91, a:1, s:1, b:1),
% 25.81/26.24 skol14 [80, 3] (w:1, o:73, a:1, s:1, b:1),
% 25.81/26.24 skol15 [81, 3] (w:1, o:74, a:1, s:1, b:1),
% 25.81/26.24 skol16 [82, 3] (w:1, o:75, a:1, s:1, b:1),
% 25.81/26.24 skol17 [83, 2] (w:1, o:66, a:1, s:1, b:1),
% 25.81/26.24 skol18 [84, 2] (w:1, o:67, a:1, s:1, b:1),
% 25.81/26.24 skol19 [85, 4] (w:1, o:83, a:1, s:1, b:1),
% 25.81/26.24 skol20 [86, 0] (w:1, o:25, a:1, s:1, b:1),
% 25.81/26.24 skol21 [87, 4] (w:1, o:85, a:1, s:1, b:1),
% 25.81/26.24 skol22 [88, 0] (w:1, o:26, a:1, s:1, b:1),
% 25.81/26.24 skol23 [89, 0] (w:1, o:27, a:1, s:1, b:1),
% 25.81/26.24 skol24 [90, 0] (w:1, o:28, a:1, s:1, b:1),
% 25.81/26.24 skol25 [91, 0] (w:1, o:29, a:1, s:1, b:1),
% 25.81/26.24 skol26 [92, 0] (w:1, o:30, a:1, s:1, b:1),
% 25.81/26.24 skol27 [93, 0] (w:1, o:31, a:1, s:1, b:1),
% 25.81/26.24 skol28 [94, 0] (w:1, o:32, a:1, s:1, b:1),
% 25.81/26.24 skol29 [95, 0] (w:1, o:33, a:1, s:1, b:1),
% 25.81/26.24 skol30 [96, 0] (w:1, o:34, a:1, s:1, b:1).
% 25.81/26.24
% 25.81/26.24
% 25.81/26.24 Starting Search:
% 25.81/26.24
% 25.81/26.24 *** allocated 15000 integers for clauses
% 25.81/26.24 *** allocated 22500 integers for clauses
% 25.81/26.24 *** allocated 33750 integers for clauses
% 25.81/26.24 *** allocated 50625 integers for clauses
% 25.81/26.24 *** allocated 22500 integers for termspace/termends
% 25.81/26.24 *** allocated 75937 integers for clauses
% 25.81/26.24 Resimplifying inuse:
% 25.81/26.24 Done
% 25.81/26.24
% 25.81/26.24 *** allocated 33750 integers for termspace/termends
% 25.81/26.24 *** allocated 113905 integers for clauses
% 25.81/26.24 *** allocated 50625 integers for termspace/termends
% 25.81/26.24
% 25.81/26.24 Intermediate Status:
% 25.81/26.24 Generated: 7815
% 25.81/26.24 Kept: 2011
% 25.81/26.24 Inuse: 306
% 25.81/26.24 Deleted: 0
% 25.81/26.24 Deletedinuse: 0
% 25.81/26.24
% 25.81/26.24 Resimplifying inuse:
% 25.81/26.24 Done
% 25.81/26.24
% 25.81/26.24 *** allocated 170857 integers for clauses
% 25.81/26.24 *** allocated 75937 integers for termspace/termends
% 25.81/26.24 Resimplifying inuse:
% 25.81/26.24 Done
% 25.81/26.24
% 25.81/26.24 *** allocated 256285 integers for clauses
% 25.81/26.24 *** allocated 113905 integers for termspace/termends
% 25.81/26.24
% 25.81/26.24 Intermediate Status:
% 25.81/26.24 Generated: 16289
% 25.81/26.24 Kept: 4050
% 25.81/26.24 Inuse: 456
% 25.81/26.24 Deleted: 0
% 25.81/26.24 Deletedinuse: 0
% 25.81/26.24
% 25.81/26.24 Resimplifying inuse:
% 25.81/26.24 Done
% 25.81/26.24
% 25.81/26.24 *** allocated 384427 integers for clauses
% 25.81/26.24 Resimplifying inuse:
% 25.81/26.24 Done
% 25.81/26.24
% 25.81/26.24 *** allocated 170857 integers for termspace/termends
% 25.81/26.24
% 25.81/26.24 Intermediate Status:
% 25.81/26.24 Generated: 28580
% 25.81/26.24 Kept: 6058
% 25.81/26.24 Inuse: 531
% 25.81/26.24 Deleted: 0
% 25.81/26.24 Deletedinuse: 0
% 25.81/26.24
% 25.81/26.24 Resimplifying inuse:
% 25.81/26.24 Done
% 25.81/26.24
% 25.81/26.24 Resimplifying inuse:
% 25.81/26.24 Done
% 25.81/26.24
% 25.81/26.24 *** allocated 576640 integers for clauses
% 25.81/26.24
% 25.81/26.24 Intermediate Status:
% 25.81/26.24 Generated: 39536
% 25.81/26.24 Kept: 8074
% 25.81/26.24 Inuse: 660
% 25.81/26.24 Deleted: 1
% 25.81/26.24 Deletedinuse: 0
% 25.81/26.24
% 25.81/26.24 Resimplifying inuse:
% 25.81/26.24 Done
% 25.81/26.24
% 25.81/26.24 *** allocated 256285 integers for termspace/termends
% 25.81/26.24 Resimplifying inuse:
% 25.81/26.24 Done
% 25.81/26.24
% 25.81/26.24
% 25.81/26.24 Intermediate Status:
% 25.81/26.24 Generated: 54405
% 25.81/26.24 Kept: 10076
% 25.81/26.24 Inuse: 780
% 25.81/26.24 Deleted: 4
% 25.81/26.24 Deletedinuse: 2
% 25.81/26.24
% 25.81/26.24 Resimplifying inuse:
% 25.81/26.24 Done
% 25.81/26.24
% 25.81/26.24 *** allocated 864960 integers for clauses
% 25.81/26.24 Resimplifying inuse:
% 25.81/26.24 Done
% 25.81/26.24
% 25.81/26.24
% 25.81/26.24 Intermediate Status:
% 25.81/26.24 Generated: 68018
% 25.81/26.24 Kept: 12352
% 25.81/26.24 Inuse: 869
% 25.81/26.24 Deleted: 5
% 25.81/26.24 Deletedinuse: 3
% 25.81/26.24
% 25.81/26.24 Resimplifying inuse:
% 25.81/26.24 Done
% 25.81/26.24
% 25.81/26.24 Resimplifying inuse:
% 25.81/26.24 Done
% 25.81/26.24
% 25.81/26.24
% 25.81/26.24 Intermediate Status:
% 25.81/26.24 Generated: 81212
% 25.81/26.24 Kept: 14363
% 25.81/26.24 Inuse: 995
% 25.81/26.24 Deleted: 7
% 25.81/26.24 Deletedinuse: 3
% 25.81/26.24
% 25.81/26.24 Resimplifying inuse:
% 25.81/26.24 Done
% 25.81/26.24
% 25.81/26.24 *** allocated 384427 integers for termspace/termends
% 25.81/26.24 Resimplifying inuse:
% 25.81/26.24 Done
% 25.81/26.24
% 25.81/26.24
% 25.81/26.24 Intermediate Status:
% 25.81/26.24 Generated: 95075
% 25.81/26.24 Kept: 16372
% 25.81/26.24 Inuse: 1127
% 25.81/26.24 Deleted: 7
% 25.81/26.24 Deletedinuse: 3
% 25.81/26.24
% 25.81/26.24 Resimplifying inuse:
% 25.81/26.24 Done
% 25.81/26.24
% 25.81/26.24 *** allocated 1297440 integers for clauses
% 25.81/26.24 Resimplifying inuse:
% 25.81/26.24 Done
% 25.81/26.24
% 25.81/26.24
% 25.81/26.24 Intermediate Status:
% 25.81/26.24 Generated: 106931
% 25.81/26.24 Kept: 18379
% 25.81/26.24 Inuse: 1249
% 25.81/26.24 Deleted: 9
% 25.81/26.24 Deletedinuse: 3
% 25.81/26.24
% 25.81/26.24 Resimplifying inuse:
% 25.81/26.24 Done
% 25.81/26.24
% 25.81/26.24 Resimplifying inuse:
% 25.81/26.24 Done
% 25.81/26.24
% 25.81/26.24 Resimplifying clauses:
% 25.81/26.24 Done
% 25.81/26.24
% 25.81/26.24
% 25.81/26.24 Intermediate Status:
% 25.81/26.24 Generated: 117628
% 25.81/26.24 Kept: 20381
% 25.81/26.24 Inuse: 1347
% 25.81/26.24 Deleted: 813
% 25.81/26.24 Deletedinuse: 3
% 25.81/26.24
% 25.81/26.24 Resimplifying inuse:
% 25.81/26.24 Done
% 25.81/26.24
% 25.81/26.24 Resimplifying inuse:
% 25.81/26.24 Done
% 25.81/26.24
% 25.81/26.24
% 25.81/26.24 Intermediate Status:
% 25.81/26.24 Generated: 125284
% 25.81/26.24 Kept: 22435
% 25.81/26.24 Inuse: 1454
% 25.81/26.24 Deleted: 1824
% 25.81/26.24 Deletedinuse: 963
% 25.81/26.24
% 25.81/26.24 Resimplifying inuse:
% 25.81/26.24 Done
% 69.33/69.71
% 69.33/69.71 Resimplifying inuse:
% 69.33/69.71 Done
% 69.33/69.71
% 69.33/69.71
% 69.33/69.71 Intermediate Status:
% 69.33/69.71 Generated: 133028
% 69.33/69.71 Kept: 24450
% 69.33/69.71 Inuse: 1559
% 69.33/69.71 Deleted: 1914
% 69.33/69.71 Deletedinuse: 963
% 69.33/69.71
% 69.33/69.71 Resimplifying inuse:
% 69.33/69.71 Done
% 69.33/69.71
% 69.33/69.71 *** allocated 576640 integers for termspace/termends
% 69.33/69.71 Resimplifying inuse:
% 69.33/69.71 Done
% 69.33/69.71
% 69.33/69.71
% 69.33/69.71 Intermediate Status:
% 69.33/69.71 Generated: 141090
% 69.33/69.71 Kept: 26461
% 69.33/69.71 Inuse: 1688
% 69.33/69.71 Deleted: 1915
% 69.33/69.71 Deletedinuse: 963
% 69.33/69.71
% 69.33/69.71 *** allocated 1946160 integers for clauses
% 69.33/69.71 Resimplifying inuse:
% 69.33/69.71 Done
% 69.33/69.71
% 69.33/69.71 Resimplifying inuse:
% 69.33/69.71 Done
% 69.33/69.71
% 69.33/69.71
% 69.33/69.71 Intermediate Status:
% 69.33/69.71 Generated: 151751
% 69.33/69.71 Kept: 28468
% 69.33/69.71 Inuse: 1797
% 69.33/69.71 Deleted: 2097
% 69.33/69.71 Deletedinuse: 963
% 69.33/69.71
% 69.33/69.71 Resimplifying inuse:
% 69.33/69.71 Done
% 69.33/69.71
% 69.33/69.71 Resimplifying inuse:
% 69.33/69.71 Done
% 69.33/69.71
% 69.33/69.71
% 69.33/69.71 Intermediate Status:
% 69.33/69.71 Generated: 163718
% 69.33/69.71 Kept: 30491
% 69.33/69.71 Inuse: 1987
% 69.33/69.71 Deleted: 2436
% 69.33/69.71 Deletedinuse: 963
% 69.33/69.71
% 69.33/69.71 Resimplifying inuse:
% 69.33/69.71 Done
% 69.33/69.71
% 69.33/69.71 Resimplifying inuse:
% 69.33/69.71 Done
% 69.33/69.71
% 69.33/69.71
% 69.33/69.71 Intermediate Status:
% 69.33/69.71 Generated: 187795
% 69.33/69.71 Kept: 32554
% 69.33/69.71 Inuse: 2086
% 69.33/69.71 Deleted: 3713
% 69.33/69.71 Deletedinuse: 969
% 69.33/69.71
% 69.33/69.71 Resimplifying inuse:
% 69.33/69.71 Done
% 69.33/69.71
% 69.33/69.71 Resimplifying inuse:
% 69.33/69.71 Done
% 69.33/69.71
% 69.33/69.71
% 69.33/69.71 Intermediate Status:
% 69.33/69.71 Generated: 193855
% 69.33/69.71 Kept: 34650
% 69.33/69.71 Inuse: 2126
% 69.33/69.71 Deleted: 3713
% 69.33/69.71 Deletedinuse: 969
% 69.33/69.71
% 69.33/69.71 Resimplifying inuse:
% 69.33/69.71 Done
% 69.33/69.71
% 69.33/69.71 Resimplifying inuse:
% 69.33/69.71 Done
% 69.33/69.71
% 69.33/69.71
% 69.33/69.71 Intermediate Status:
% 69.33/69.71 Generated: 199205
% 69.33/69.71 Kept: 36662
% 69.33/69.71 Inuse: 2178
% 69.33/69.71 Deleted: 3713
% 69.33/69.71 Deletedinuse: 969
% 69.33/69.71
% 69.33/69.71 Resimplifying inuse:
% 69.33/69.71 Done
% 69.33/69.71
% 69.33/69.71 Resimplifying inuse:
% 69.33/69.71 Done
% 69.33/69.71
% 69.33/69.71
% 69.33/69.71 Intermediate Status:
% 69.33/69.71 Generated: 208067
% 69.33/69.71 Kept: 38681
% 69.33/69.71 Inuse: 2313
% 69.33/69.71 Deleted: 3744
% 69.33/69.71 Deletedinuse: 969
% 69.33/69.71
% 69.33/69.71 Resimplifying inuse:
% 69.33/69.71 Done
% 69.33/69.71
% 69.33/69.71 *** allocated 864960 integers for termspace/termends
% 69.33/69.71 *** allocated 2919240 integers for clauses
% 69.33/69.71 Resimplifying clauses:
% 69.33/69.71 Done
% 69.33/69.71
% 69.33/69.71 Resimplifying inuse:
% 69.33/69.71 Done
% 69.33/69.71
% 69.33/69.71
% 69.33/69.71 Intermediate Status:
% 69.33/69.71 Generated: 218933
% 69.33/69.71 Kept: 40684
% 69.33/69.71 Inuse: 2477
% 69.33/69.71 Deleted: 16504
% 69.33/69.71 Deletedinuse: 971
% 69.33/69.71
% 69.33/69.71 Resimplifying inuse:
% 69.33/69.71 Done
% 69.33/69.71
% 69.33/69.71 Resimplifying inuse:
% 69.33/69.71 Done
% 69.33/69.71
% 69.33/69.71
% 69.33/69.71 Intermediate Status:
% 69.33/69.71 Generated: 230642
% 69.33/69.71 Kept: 42713
% 69.33/69.71 Inuse: 2579
% 69.33/69.71 Deleted: 16505
% 69.33/69.71 Deletedinuse: 971
% 69.33/69.71
% 69.33/69.71 Resimplifying inuse:
% 69.33/69.71 Done
% 69.33/69.71
% 69.33/69.71 Resimplifying inuse:
% 69.33/69.71 Done
% 69.33/69.71
% 69.33/69.71
% 69.33/69.71 Intermediate Status:
% 69.33/69.71 Generated: 244444
% 69.33/69.71 Kept: 44720
% 69.33/69.71 Inuse: 2683
% 69.33/69.71 Deleted: 16505
% 69.33/69.71 Deletedinuse: 971
% 69.33/69.71
% 69.33/69.71 Resimplifying inuse:
% 69.33/69.71 Done
% 69.33/69.71
% 69.33/69.71 Resimplifying inuse:
% 69.33/69.71 Done
% 69.33/69.71
% 69.33/69.71
% 69.33/69.71 Intermediate Status:
% 69.33/69.71 Generated: 257270
% 69.33/69.71 Kept: 46728
% 69.33/69.71 Inuse: 2787
% 69.33/69.71 Deleted: 16505
% 69.33/69.71 Deletedinuse: 971
% 69.33/69.71
% 69.33/69.71 Resimplifying inuse:
% 69.33/69.71 Done
% 69.33/69.71
% 69.33/69.71 Resimplifying inuse:
% 69.33/69.71 Done
% 69.33/69.71
% 69.33/69.71
% 69.33/69.71 Intermediate Status:
% 69.33/69.71 Generated: 272798
% 69.33/69.71 Kept: 48730
% 69.33/69.71 Inuse: 2872
% 69.33/69.71 Deleted: 16505
% 69.33/69.71 Deletedinuse: 971
% 69.33/69.71
% 69.33/69.71 Resimplifying inuse:
% 69.33/69.71 Done
% 69.33/69.71
% 69.33/69.71 Resimplifying inuse:
% 69.33/69.71 Done
% 69.33/69.71
% 69.33/69.71
% 69.33/69.71 Intermediate Status:
% 69.33/69.71 Generated: 291369
% 69.33/69.71 Kept: 51168
% 69.33/69.71 Inuse: 2947
% 69.33/69.71 Deleted: 16505
% 69.33/69.71 Deletedinuse: 971
% 69.33/69.71
% 69.33/69.71 Resimplifying inuse:
% 69.33/69.71 Done
% 69.33/69.71
% 69.33/69.71 Resimplifying inuse:
% 69.33/69.71 Done
% 69.33/69.71
% 69.33/69.71
% 69.33/69.71 Intermediate Status:
% 69.33/69.71 Generated: 307222
% 69.33/69.71 Kept: 53180
% 69.33/69.71 Inuse: 3047
% 69.33/69.71 Deleted: 16505
% 69.33/69.71 Deletedinuse: 971
% 69.33/69.71
% 69.33/69.71 Resimplifying inuse:
% 69.33/69.71 Done
% 69.33/69.71
% 69.33/69.71 Resimplifying inuse:
% 69.33/69.71 Done
% 69.33/69.71
% 69.33/69.71
% 69.33/69.71 Intermediate Status:
% 69.33/69.71 Generated: 323213
% 69.33/69.71 Kept: 55198
% 69.33/69.71 Inuse: 3132
% 69.33/69.71 Deleted: 16505
% 69.33/69.71 Deletedinuse: 971
% 69.33/69.71
% 69.33/69.71 Resimplifying inuse:
% 69.33/69.71 Done
% 69.33/69.71
% 69.33/69.71 Resimplifying inuse:
% 69.33/69.71 Done
% 69.33/69.71
% 69.33/69.71
% 69.33/69.71 Intermediate Status:
% 69.33/69.71 Generated: 337762
% 69.33/69.71 Kept: 57256
% 69.33/69.71 Inuse: 3196
% 69.33/69.71 Deleted: 16505
% 69.33/69.71 Deletedinuse: 971
% 69.33/69.71
% 69.33/69.71 Resimplifying inuse:
% 69.33/69.71 Done
% 69.33/69.71
% 69.33/69.71 Resimplifying inuse:
% 69.33/69.71 Done
% 69.33/69.71
% 69.33/69.71
% 69.33/69.71 Intermediate Status:
% 69.33/69.71 Generated: 347033
% 69.33/69.71 Kept: 59662
% 69.33/69.71 Inuse: 3227
% 69.33/69.71 Deleted: 16505
% 69.33/69.71 Deletedinuse: 971
% 69.33/69.71
% 69.33/69.71 *** allocated 4378860 integers for clauses
% 69.33/69.71 Resimplifying inuse:
% 69.33/69.71 Done
% 69.33/69.71
% 69.33/69.71 *** allocated 1297440 integers for termspace/termends
% 69.33/69.71 Resimplifying clauses:
% 69.33/69.71 Done
% 69.33/69.71
% 69.33/69.71 Resimplifying inuse:
% 69.33/69.71 Done
% 69.33/69.71
% 69.33/69.71
% 69.33/69.71 Intermediate Status:
% 69.33/69.71 Generated: 358766
% 69.33/69.71 Kept: 61734
% 69.33/69.71 Inuse: 3268
% 69.33/69.71 Deleted: 17287
% 69.33/69.71 Deletedinuse: 971
% 69.33/69.71
% 69.33/69.71 Resimplifying inuse:
% 69.33/69.71 Done
% 69.33/69.71
% 69.33/69.71 Resimplifying inuse:
% 69.33/69.71 Done
% 69.33/69.71
% 69.33/69.71
% 69.33/69.71 Intermediate Status:
% 69.33/69.71 Generated: 374517
% 69.33/69.71 Kept: 63740
% 69.33/69.71 Inuse: 3321
% 69.33/69.71 Deleted: 17287
% 69.33/69.71 Deletedinuse: 971
% 69.33/69.71
% 69.33/69.71 Resimplifying inuse:
% 69.33/69.71 Done
% 69.33/69.71
% 69.33/69.71 Resimplifying inuse:
% 69.33/69.71 Done
% 69.33/69.71
% 69.33/69.71
% 69.33/69.71 Intermediate Status:
% 69.33/69.71 Generated: 390386
% 69.33/69.71 Kept: 65754
% 69.33/69.71 Inuse: 3372
% 69.33/69.71 Deleted: 17287
% 69.33/69.71 Deletedinuse: 971
% 69.33/69.71
% 69.33/69.71 Resimplifying inuse:
% 69.33/69.71 Done
% 69.33/69.71
% 69.33/69.71 Resimplifying inuse:
% 69.33/69.71 Done
% 69.33/69.71
% 69.33/69.71
% 69.33/69.71 Intermediate Status:
% 69.33/69.71 Generated: 402055
% 69.33/69.71 Kept: 67777
% 123.61/124.06 Inuse: 3440
% 123.61/124.06 Deleted: 17288
% 123.61/124.06 Deletedinuse: 972
% 123.61/124.06
% 123.61/124.06 Resimplifying inuse:
% 123.61/124.06 Done
% 123.61/124.06
% 123.61/124.06 Resimplifying inuse:
% 123.61/124.06 Done
% 123.61/124.06
% 123.61/124.06
% 123.61/124.06 Intermediate Status:
% 123.61/124.06 Generated: 412567
% 123.61/124.06 Kept: 69798
% 123.61/124.06 Inuse: 3498
% 123.61/124.06 Deleted: 17288
% 123.61/124.06 Deletedinuse: 972
% 123.61/124.06
% 123.61/124.06 Resimplifying inuse:
% 123.61/124.06 Done
% 123.61/124.06
% 123.61/124.06 Resimplifying inuse:
% 123.61/124.06 Done
% 123.61/124.06
% 123.61/124.06
% 123.61/124.06 Intermediate Status:
% 123.61/124.06 Generated: 425736
% 123.61/124.06 Kept: 71804
% 123.61/124.06 Inuse: 3569
% 123.61/124.06 Deleted: 17288
% 123.61/124.06 Deletedinuse: 972
% 123.61/124.06
% 123.61/124.06 Resimplifying inuse:
% 123.61/124.06 Done
% 123.61/124.06
% 123.61/124.06 Resimplifying inuse:
% 123.61/124.06 Done
% 123.61/124.06
% 123.61/124.06
% 123.61/124.06 Intermediate Status:
% 123.61/124.06 Generated: 439246
% 123.61/124.06 Kept: 73822
% 123.61/124.06 Inuse: 3636
% 123.61/124.06 Deleted: 17288
% 123.61/124.06 Deletedinuse: 972
% 123.61/124.06
% 123.61/124.06 Resimplifying inuse:
% 123.61/124.06 Done
% 123.61/124.06
% 123.61/124.06 Resimplifying inuse:
% 123.61/124.06 Done
% 123.61/124.06
% 123.61/124.06
% 123.61/124.06 Intermediate Status:
% 123.61/124.06 Generated: 451627
% 123.61/124.06 Kept: 75828
% 123.61/124.06 Inuse: 3693
% 123.61/124.06 Deleted: 17288
% 123.61/124.06 Deletedinuse: 972
% 123.61/124.06
% 123.61/124.06 Resimplifying inuse:
% 123.61/124.06 Done
% 123.61/124.06
% 123.61/124.06
% 123.61/124.06 Intermediate Status:
% 123.61/124.06 Generated: 458541
% 123.61/124.06 Kept: 78349
% 123.61/124.06 Inuse: 3707
% 123.61/124.06 Deleted: 17288
% 123.61/124.06 Deletedinuse: 972
% 123.61/124.06
% 123.61/124.06 Resimplifying inuse:
% 123.61/124.06 Done
% 123.61/124.06
% 123.61/124.06 Resimplifying inuse:
% 123.61/124.06 Done
% 123.61/124.06
% 123.61/124.06
% 123.61/124.06 Intermediate Status:
% 123.61/124.06 Generated: 468128
% 123.61/124.06 Kept: 81328
% 123.61/124.06 Inuse: 3727
% 123.61/124.06 Deleted: 17288
% 123.61/124.06 Deletedinuse: 972
% 123.61/124.06
% 123.61/124.06 Resimplifying inuse:
% 123.61/124.06 Done
% 123.61/124.06
% 123.61/124.06 Resimplifying clauses:
% 123.61/124.06 Done
% 123.61/124.06
% 123.61/124.06 Resimplifying inuse:
% 123.61/124.06 Done
% 123.61/124.06
% 123.61/124.06
% 123.61/124.06 Intermediate Status:
% 123.61/124.06 Generated: 478031
% 123.61/124.06 Kept: 83431
% 123.61/124.06 Inuse: 3772
% 123.61/124.06 Deleted: 17858
% 123.61/124.06 Deletedinuse: 972
% 123.61/124.06
% 123.61/124.06 Resimplifying inuse:
% 123.61/124.06 Done
% 123.61/124.06
% 123.61/124.06 Resimplifying inuse:
% 123.61/124.06 Done
% 123.61/124.06
% 123.61/124.06
% 123.61/124.06 Intermediate Status:
% 123.61/124.06 Generated: 491822
% 123.61/124.06 Kept: 85509
% 123.61/124.06 Inuse: 3804
% 123.61/124.06 Deleted: 17938
% 123.61/124.06 Deletedinuse: 1052
% 123.61/124.06
% 123.61/124.06 Resimplifying inuse:
% 123.61/124.06 Done
% 123.61/124.06
% 123.61/124.06 Resimplifying inuse:
% 123.61/124.06 Done
% 123.61/124.06
% 123.61/124.06
% 123.61/124.06 Intermediate Status:
% 123.61/124.06 Generated: 527398
% 123.61/124.06 Kept: 87521
% 123.61/124.06 Inuse: 3858
% 123.61/124.06 Deleted: 18404
% 123.61/124.06 Deletedinuse: 1494
% 123.61/124.06
% 123.61/124.06 Resimplifying inuse:
% 123.61/124.06 Done
% 123.61/124.06
% 123.61/124.06 Resimplifying inuse:
% 123.61/124.06 Done
% 123.61/124.06
% 123.61/124.06
% 123.61/124.06 Intermediate Status:
% 123.61/124.06 Generated: 561557
% 123.61/124.06 Kept: 89540
% 123.61/124.06 Inuse: 3942
% 123.61/124.06 Deleted: 18472
% 123.61/124.06 Deletedinuse: 1557
% 123.61/124.06
% 123.61/124.06 Resimplifying inuse:
% 123.61/124.06 Done
% 123.61/124.06
% 123.61/124.06 Resimplifying inuse:
% 123.61/124.06 Done
% 123.61/124.06
% 123.61/124.06
% 123.61/124.06 Intermediate Status:
% 123.61/124.06 Generated: 572808
% 123.61/124.06 Kept: 91629
% 123.61/124.06 Inuse: 3989
% 123.61/124.06 Deleted: 18476
% 123.61/124.06 Deletedinuse: 1557
% 123.61/124.06
% 123.61/124.06 *** allocated 1946160 integers for termspace/termends
% 123.61/124.06 Resimplifying inuse:
% 123.61/124.06 Done
% 123.61/124.06
% 123.61/124.06 Resimplifying inuse:
% 123.61/124.06 Done
% 123.61/124.06
% 123.61/124.06 *** allocated 6568290 integers for clauses
% 123.61/124.06
% 123.61/124.06 Intermediate Status:
% 123.61/124.06 Generated: 582498
% 123.61/124.06 Kept: 93828
% 123.61/124.06 Inuse: 4024
% 123.61/124.06 Deleted: 18476
% 123.61/124.06 Deletedinuse: 1557
% 123.61/124.06
% 123.61/124.06 Resimplifying inuse:
% 123.61/124.06 Done
% 123.61/124.06
% 123.61/124.06 Resimplifying inuse:
% 123.61/124.06 Done
% 123.61/124.06
% 123.61/124.06
% 123.61/124.06 Intermediate Status:
% 123.61/124.06 Generated: 588983
% 123.61/124.06 Kept: 96055
% 123.61/124.06 Inuse: 4049
% 123.61/124.06 Deleted: 18476
% 123.61/124.06 Deletedinuse: 1557
% 123.61/124.06
% 123.61/124.06 Resimplifying inuse:
% 123.61/124.06 Done
% 123.61/124.06
% 123.61/124.06 Resimplifying inuse:
% 123.61/124.06 Done
% 123.61/124.06
% 123.61/124.06
% 123.61/124.06 Intermediate Status:
% 123.61/124.06 Generated: 600957
% 123.61/124.06 Kept: 98058
% 123.61/124.06 Inuse: 4121
% 123.61/124.06 Deleted: 18476
% 123.61/124.06 Deletedinuse: 1557
% 123.61/124.06
% 123.61/124.06 Resimplifying inuse:
% 123.61/124.06 Done
% 123.61/124.06
% 123.61/124.06 Resimplifying inuse:
% 123.61/124.06 Done
% 123.61/124.06
% 123.61/124.06
% 123.61/124.06 Intermediate Status:
% 123.61/124.06 Generated: 613655
% 123.61/124.06 Kept: 100058
% 123.61/124.06 Inuse: 4180
% 123.61/124.06 Deleted: 18476
% 123.61/124.06 Deletedinuse: 1557
% 123.61/124.06
% 123.61/124.06 Resimplifying inuse:
% 123.61/124.06 Done
% 123.61/124.06
% 123.61/124.06 Resimplifying clauses:
% 123.61/124.06 Done
% 123.61/124.06
% 123.61/124.06 Resimplifying inuse:
% 123.61/124.06 Done
% 123.61/124.06
% 123.61/124.06
% 123.61/124.06 Intermediate Status:
% 123.61/124.06 Generated: 622891
% 123.61/124.06 Kept: 102101
% 123.61/124.06 Inuse: 4205
% 123.61/124.06 Deleted: 31263
% 123.61/124.06 Deletedinuse: 1582
% 123.61/124.06
% 123.61/124.06 Resimplifying inuse:
% 123.61/124.06 Done
% 123.61/124.06
% 123.61/124.06 Resimplifying inuse:
% 123.61/124.06 Done
% 123.61/124.06
% 123.61/124.06
% 123.61/124.06 Intermediate Status:
% 123.61/124.06 Generated: 627446
% 123.61/124.06 Kept: 104315
% 123.61/124.06 Inuse: 4229
% 123.61/124.06 Deleted: 31263
% 123.61/124.06 Deletedinuse: 1582
% 123.61/124.06
% 123.61/124.06 Resimplifying inuse:
% 123.61/124.06 Done
% 123.61/124.06
% 123.61/124.06 Resimplifying inuse:
% 123.61/124.06 Done
% 123.61/124.06
% 123.61/124.06
% 123.61/124.06 Intermediate Status:
% 123.61/124.06 Generated: 632840
% 123.61/124.06 Kept: 106367
% 123.61/124.06 Inuse: 4258
% 123.61/124.06 Deleted: 31263
% 123.61/124.06 Deletedinuse: 1582
% 123.61/124.06
% 123.61/124.06 Resimplifying inuse:
% 123.61/124.06 Done
% 123.61/124.06
% 123.61/124.06 Resimplifying inuse:
% 123.61/124.06 Done
% 123.61/124.06
% 123.61/124.06
% 123.61/124.06 Intermediate Status:
% 123.61/124.06 Generated: 636491
% 123.61/124.06 Kept: 108436
% 123.61/124.06 Inuse: 4278
% 123.61/124.06 Deleted: 31263
% 123.61/124.06 Deletedinuse: 1582
% 123.61/124.06
% 123.61/124.06 Resimplifying inuse:
% 123.61/124.06 Done
% 123.61/124.06
% 123.61/124.06 Resimplifying inuse:
% 123.61/124.06 Done
% 123.61/124.06
% 123.61/124.06
% 123.61/124.06 Intermediate Status:
% 123.61/124.06 Generated: 641059
% 123.61/124.06 Kept: 110436
% 123.61/124.06 Inuse: 4303
% 123.61/124.06 Deleted: 31263
% 123.61/124.06 Deletedinuse: 1582
% 123.61/124.06
% 123.61/124.06 Resimplifying inuse:
% 123.61/124.06 Done
% 123.61/124.06
% 123.61/124.06 Resimplifying inuse:
% 123.61/124.06 Done
% 123.61/124.06
% 123.61/124.06
% 123.61/124.06 Intermediate Status:
% 123.61/124.06 Generated: 650394
% 123.61/124.06 Kept: 112466
% 123.61/124.06 Inuse: 4351
% 123.61/124.06 Deleted: 31263
% 123.61/124.06 Deletedinuse: 1582
% 123.61/124.06
% 123.61/124.06 Resimplifying inuse:
% 123.61/124.06 Done
% 123.61/124.06
% 123.61/124.06 Resimplifying inuse:
% 123.61/124.06 Done
% 123.61/124.06
% 123.61/124.06
% 123.61/124.06 Intermediate Status:
% 123.61/124.06 Generated: 658049
% 123.61/124.06 Kept: 114477
% 123.61/124.06 Inuse: 4397
% 123.61/124.06 Deleted: 31263
% 123.61/124.06 Deletedinuse: 1582
% 123.61/124.06
% 123.61/124.06 Resimplifying inuse:
% 123.61/124.06 Done
% 123.61/124.06
% 123.61/124.06 Resimplifying inuse:
% 123.61/124.06 Done
% 123.61/124.06
% 123.61/124.06
% 123.61/124.06 Intermediate Status:
% 123.61/124.06 Generated: 670457
% 123.61/124.06 Kept: 116478
% 123.61/124.06 Inuse: 4452
% 123.61/124.06 Deleted: 31263
% 123.61/124.06 Deletedinuse: 1582
% 123.61/124.06
% 123.61/124.06 Resimplifying inuse:
% 123.61/124.06 Done
% 123.61/124.06
% 123.61/124.06 Resimplifying inuse:
% 123.61/124.06 Done
% 123.61/124.06
% 123.61/124.06
% 123.61/124.06 Intermediate Status:
% 123.61/124.06 Generated: 689154
% 123.61/124.06 Kept: 118493
% 123.61/124.06 Inuse: 4517
% 123.61/124.06 Deleted: 31263
% 123.61/124.06 Deletedinuse: 1582
% 123.61/124.06
% 123.61/124.06 Resimplifying inuse:
% 123.61/124.06 Done
% 123.61/124.06
% 123.61/124.06
% 123.61/124.06 Intermediate Status:
% 123.61/124.06 Generated: 704411
% 123.61/124.06 Kept: 120510
% 123.61/124.06 Inuse: 4583
% 123.61/124.06 Deleted: 31263
% 123.61/124.06 Deletedinuse: 1582
% 123.61/124.06
% 123.61/124.06 Resimplifying inuse:
% 123.61/124.06 Done
% 123.61/124.06
% 123.61/124.06 Resimplifying inuse:
% 123.61/124.06 Done
% 123.61/124.06
% 123.61/124.06 Resimplifying clauses:
% 123.61/124.06 Done
% 123.61/124.06
% 123.61/124.06
% 123.61/124.06 Intermediate Status:
% 123.61/124.06 Generated: 715981
% 123.61/124.06 Kept: 122559
% 123.61/124.06 Inuse: 4643
% 123.61/124.06 Deleted: 31816
% 123.61/124.06 Deletedinuse: 1582
% 123.61/124.06
% 123.61/124.06 Resimplifying inuse:
% 123.61/124.06 Done
% 123.61/124.06
% 123.61/124.06 Resimplifying inuse:
% 123.61/124.06 Done
% 123.61/124.06
% 123.61/124.06
% 123.61/124.06 Intermediate Status:
% 123.61/124.06 Generated: 738144
% 123.61/124.06 Kept: 124564
% 123.61/124.06 Inuse: 4703
% 123.61/124.06 Deleted: 31816
% 123.61/124.06 Deletedinuse: 1582
% 123.61/124.06
% 123.61/124.06 Resimplifying inuse:
% 123.61/124.06 Done
% 123.61/124.06
% 123.61/124.06 Resimplifying inuse:
% 123.61/124.06 Done
% 123.61/124.06
% 123.61/124.06
% 123.61/124.06 Intermediate Status:
% 123.61/124.06 Generated: 761686
% 123.61/124.06 Kept: 126599
% 123.61/124.06 Inuse: 4756
% 123.61/124.06 Deleted: 31816
% 123.61/124.06 Deletedinuse: 1582
% 123.61/124.06
% 123.61/124.06 Resimplifying inuse:
% 123.61/124.06 Done
% 123.61/124.06
% 123.61/124.06 Resimplifying inuse:
% 123.61/124.06 Done
% 123.61/124.06
% 123.61/124.06
% 123.61/124.06 Intermediate Status:
% 123.61/124.06 Generated: 772481
% 123.61/124.06 Kept: 128606
% 123.61/124.06 Inuse: 4785
% 123.61/124.06 Deleted: 31828
% 123.61/124.06 Deletedinuse: 1594
% 123.61/124.06
% 123.61/124.06 Resimplifying inuse:
% 123.61/124.06 Done
% 123.61/124.06
% 123.61/124.06 Resimplifying inuse:
% 123.61/124.06 Done
% 123.61/124.06
% 123.61/124.06
% 123.61/124.06 Intermediate Status:
% 123.61/124.06 Generated: 780557
% 123.61/124.06 Kept: 130623
% 123.61/124.06 Inuse: 4819
% 123.61/124.06 Deleted: 31828
% 123.61/124.06 Deletedinuse: 1594
% 123.61/124.06
% 123.61/124.06 Resimplifying inuse:
% 123.61/124.06 Done
% 123.61/124.06
% 123.61/124.06 Resimplifying inuse:
% 123.61/124.06 Done
% 123.61/124.06
% 123.61/124.06
% 123.61/124.06 Intermediate Status:
% 123.61/124.06 Generated: 790625
% 123.61/124.06 Kept: 132668
% 123.61/124.06 Inuse: 4871
% 123.61/124.06 Deleted: 31828
% 123.61/124.06 Deletedinuse: 1594
% 123.61/124.06
% 123.61/124.06 Resimplifying inuse:
% 123.61/124.06 Done
% 123.61/124.06
% 123.61/124.06 Resimplifying inuse:
% 123.61/124.06 Done
% 123.61/124.06
% 123.61/124.06
% 123.61/124.06 Intermediate Status:
% 123.61/124.06 Generated: 802514
% 123.61/124.06 Kept: 134703
% 123.61/124.06 Inuse: 4912
% 123.61/124.06 Deleted: 31828
% 123.61/124.06 Deletedinuse: 1594
% 123.61/124.06
% 123.61/124.06 Resimplifying inuse:
% 123.61/124.06 Done
% 123.61/124.06
% 123.61/124.06 Resimplifying inuse:
% 123.61/124.06 Done
% 123.61/124.06
% 123.61/124.06
% 123.61/124.06 Intermediate Status:
% 123.61/124.06 Generated: 815449
% 123.61/124.06 Kept: 136706
% 123.61/124.06 Inuse: 4949
% 123.61/124.06 Deleted: 31828
% 123.61/124.06 Deletedinuse: 1594
% 123.61/124.06
% 123.61/124.06 Resimplifying inuse:
% 123.61/124.06 Done
% 123.61/124.06
% 123.61/124.06 *** allocated 2919240 integers for termspace/termends
% 123.61/124.06 *** allocated 9852435 integers for clauses
% 123.61/124.06 Resimplifying inuse:
% 123.61/124.06 Done
% 123.61/124.06
% 123.61/124.06
% 123.61/124.06 Intermediate Status:
% 123.61/124.06 Generated: 821723
% 123.61/124.06 Kept: 138724
% 123.61/124.06 Inuse: 4970
% 123.61/124.06 Deleted: 31828
% 123.61/124.06 Deletedinuse: 1594
% 123.61/124.06
% 123.61/124.06 Resimplifying inuse:
% 123.61/124.06 Done
% 123.61/124.06
% 123.61/124.06 Resimplifying inuse:
% 123.61/124.06 Done
% 123.61/124.06
% 123.61/124.06
% 123.61/124.06 Intermediate Status:
% 123.61/124.06 Generated: 828853
% 123.61/124.06 Kept: 140732
% 123.61/124.06 Inuse: 5007
% 123.61/124.06 Deleted: 31828
% 123.61/124.06 Deletedinuse: 1594
% 123.61/124.06
% 123.61/124.06 Resimplifying inuse:
% 123.61/124.06 Done
% 123.61/124.06
% 123.61/124.06 Resimplifying clauses:
% 123.61/124.06 Done
% 123.61/124.06
% 123.61/124.06 Resimplifying inuse:
% 123.61/124.06 Done
% 123.61/124.06
% 123.61/124.06
% 123.61/124.06 Intermediate Status:
% 123.61/124.06 Generated: 835427
% 123.61/124.06 Kept: 142761
% 123.61/124.06 Inuse: 5043
% 123.61/124.06 Deleted: 33286
% 123.61/124.06 Deletedinuse: 1604
% 123.61/124.06
% 123.61/124.06 Resimplifying inuse:
% 123.61/124.06 Done
% 123.61/124.06
% 123.61/124.06
% 123.61/124.06 Bliksems!, er is een bewijs:
% 123.61/124.06 % SZS status Theorem
% 123.61/124.06 % SZS output start Refutation
% 123.61/124.06
% 123.61/124.06 (0) {G0,W8,D2,L2,V3,M2} I { ! coll( X, Y, Z ), coll( X, Z, Y ) }.
% 123.61/124.06 (1) {G0,W8,D2,L2,V3,M2} I { ! coll( X, Y, Z ), coll( Y, X, Z ) }.
% 123.61/124.06 (2) {G0,W12,D2,L3,V4,M3} I { ! coll( X, T, Y ), ! coll( X, T, Z ), coll( Y
% 123.61/124.06 , Z, X ) }.
% 123.61/124.06 (3) {G0,W10,D2,L2,V4,M2} I { ! para( X, Y, Z, T ), para( X, Y, T, Z ) }.
% 123.61/124.06 (4) {G0,W10,D2,L2,V4,M2} I { ! para( X, Y, Z, T ), para( Z, T, X, Y ) }.
% 123.61/124.06 (6) {G0,W10,D2,L2,V4,M2} I { ! perp( X, Y, Z, T ), perp( X, Y, T, Z ) }.
% 123.61/124.06 (7) {G0,W10,D2,L2,V4,M2} I { ! perp( X, Y, Z, T ), perp( Z, T, X, Y ) }.
% 123.61/124.06 (8) {G0,W15,D2,L3,V6,M3} I { ! perp( X, Y, U, W ), ! perp( U, W, Z, T ),
% 123.61/124.06 para( X, Y, Z, T ) }.
% 123.61/124.06 (9) {G0,W15,D2,L3,V6,M3} I { ! para( X, Y, U, W ), ! perp( U, W, Z, T ),
% 123.61/124.06 perp( X, Y, Z, T ) }.
% 123.61/124.06 (10) {G0,W8,D2,L2,V3,M2} I { ! midp( Z, Y, X ), midp( Z, X, Y ) }.
% 123.61/124.06 (11) {G0,W15,D2,L3,V4,M3} I { ! cong( T, X, T, Y ), ! cong( T, X, T, Z ),
% 123.61/124.06 circle( T, X, Y, Z ) }.
% 123.61/124.06 (12) {G0,W20,D2,L4,V5,M4} I { ! cong( U, X, U, Y ), ! cong( U, X, U, Z ), !
% 123.61/124.06 cong( U, X, U, T ), cyclic( X, Y, Z, T ) }.
% 123.61/124.06 (13) {G0,W10,D2,L2,V4,M2} I { ! cyclic( X, Y, Z, T ), cyclic( X, Y, T, Z )
% 123.61/124.06 }.
% 123.61/124.06 (14) {G0,W10,D2,L2,V4,M2} I { ! cyclic( X, Y, Z, T ), cyclic( X, Z, Y, T )
% 123.61/124.06 }.
% 123.61/124.06 (15) {G0,W10,D2,L2,V4,M2} I { ! cyclic( X, Y, Z, T ), cyclic( Y, X, Z, T )
% 123.61/124.06 }.
% 123.61/124.06 (16) {G0,W15,D2,L3,V5,M3} I { ! cyclic( U, X, Y, Z ), ! cyclic( U, X, Y, T
% 123.61/124.06 ), cyclic( X, Y, Z, T ) }.
% 123.61/124.06 (22) {G0,W10,D2,L2,V4,M2} I { ! cong( X, Y, Z, T ), cong( X, Y, T, Z ) }.
% 123.61/124.06 (23) {G0,W10,D2,L2,V4,M2} I { ! cong( X, Y, Z, T ), cong( Z, T, X, Y ) }.
% 123.61/124.06 (24) {G0,W15,D2,L3,V6,M3} I { ! cong( X, Y, U, W ), ! cong( U, W, Z, T ),
% 123.61/124.06 cong( X, Y, Z, T ) }.
% 123.61/124.06 (39) {G0,W14,D2,L2,V6,M2} I { ! para( X, Y, Z, T ), eqangle( X, Y, U, W, Z
% 123.61/124.06 , T, U, W ) }.
% 123.61/124.06 (43) {G0,W29,D2,L5,V6,M5} I { ! cyclic( X, Y, U, Z ), ! cyclic( X, Y, U, T
% 123.61/124.06 ), ! cyclic( X, Y, U, W ), ! eqangle( U, X, U, Y, W, Z, W, T ), cong( X
% 123.61/124.06 , Y, Z, T ) }.
% 123.61/124.06 (45) {G0,W17,D2,L4,V5,M4} I { ! midp( U, X, T ), ! para( U, Z, T, Y ), !
% 123.61/124.06 coll( Z, X, Y ), midp( Z, X, Y ) }.
% 123.61/124.06 (46) {G0,W14,D2,L2,V3,M2} I { ! cong( Z, X, Z, Y ), eqangle( Z, X, X, Y, X
% 123.61/124.06 , Y, Z, Y ) }.
% 123.61/124.06 (53) {G0,W14,D2,L3,V4,M3} I { ! circle( T, X, Y, Z ), ! coll( T, X, Z ),
% 123.61/124.06 perp( X, Y, Y, Z ) }.
% 123.61/124.06 (55) {G0,W14,D2,L3,V4,M3} I { ! midp( T, X, Y ), ! perp( Z, T, X, Y ), cong
% 123.61/124.06 ( Z, X, Z, Y ) }.
% 123.61/124.06 (56) {G0,W15,D2,L3,V4,M3} I { ! cong( X, Z, Y, Z ), ! cong( X, T, Y, T ),
% 123.61/124.06 perp( X, Y, Z, T ) }.
% 123.61/124.06 (63) {G0,W13,D2,L3,V5,M3} I { ! midp( U, X, Y ), ! midp( U, Z, T ), para( X
% 123.61/124.06 , Z, Y, T ) }.
% 123.61/124.06 (64) {G0,W18,D2,L4,V5,M4} I { ! midp( Z, T, U ), ! para( T, X, U, Y ), !
% 123.61/124.06 para( T, Y, U, X ), midp( Z, X, Y ) }.
% 123.61/124.06 (68) {G0,W9,D2,L2,V3,M2} I { ! midp( X, Y, Z ), cong( X, Y, X, Z ) }.
% 123.61/124.06 (69) {G0,W8,D2,L2,V3,M2} I { ! midp( X, Y, Z ), coll( X, Y, Z ) }.
% 123.61/124.06 (73) {G0,W19,D2,L3,V8,M3} I { ! eqangle( X, Y, Z, T, U, W, V0, V1 ), ! perp
% 123.61/124.06 ( U, W, V0, V1 ), perp( X, Y, Z, T ) }.
% 123.61/124.06 (88) {G0,W22,D3,L5,V7,M5} I { ! midp( Z, X, Y ), ! midp( W, T, U ), ! coll
% 123.61/124.06 ( T, X, Y ), ! coll( U, X, Y ), midp( skol7( X, V0 ), X, V0 ) }.
% 123.61/124.06 (116) {G0,W5,D2,L1,V0,M1} I { perp( skol20, skol25, skol26, skol27 ) }.
% 123.61/124.06 (118) {G0,W5,D2,L1,V0,M1} I { perp( skol28, skol26, skol25, skol27 ) }.
% 123.61/124.06 (120) {G0,W5,D2,L1,V0,M1} I { perp( skol29, skol27, skol25, skol26 ) }.
% 123.61/124.06 (123) {G0,W4,D2,L1,V0,M1} I { coll( skol22, skol27, skol29 ) }.
% 123.61/124.06 (124) {G0,W4,D2,L1,V0,M1} I { midp( skol30, skol27, skol26 ) }.
% 123.61/124.06 (126) {G0,W4,D2,L1,V0,M1} I { midp( skol24, skol29, skol27 ) }.
% 123.61/124.06 (127) {G0,W5,D2,L1,V0,M1} I { ! cyclic( skol23, skol24, skol22, skol20 )
% 123.61/124.06 }.
% 123.61/124.06 (130) {G1,W10,D2,L2,V3,M2} F(11) { ! cong( X, Y, X, Z ), circle( X, Y, Z, Z
% 123.61/124.06 ) }.
% 123.61/124.06 (133) {G1,W15,D2,L3,V4,M3} F(12) { ! cong( X, Y, X, Z ), ! cong( X, Y, X, T
% 123.61/124.06 ), cyclic( Y, Z, T, T ) }.
% 123.61/124.06 (134) {G2,W10,D2,L2,V3,M2} F(133) { ! cong( X, Y, X, Z ), cyclic( Y, Z, Z,
% 123.61/124.06 Z ) }.
% 123.61/124.06 (144) {G1,W13,D2,L3,V4,M3} F(64) { ! midp( X, Y, Z ), ! para( Y, T, Z, T )
% 123.61/124.06 , midp( X, T, T ) }.
% 123.61/124.06 (150) {G1,W18,D3,L4,V4,M4} F(88) { ! midp( X, Y, Z ), ! coll( Y, Y, Z ), !
% 123.61/124.06 coll( Z, Y, Z ), midp( skol7( Y, T ), Y, T ) }.
% 123.61/124.06 (166) {G1,W4,D2,L1,V0,M1} R(0,123) { coll( skol22, skol29, skol27 ) }.
% 123.61/124.06 (170) {G2,W4,D2,L1,V0,M1} R(1,166) { coll( skol29, skol22, skol27 ) }.
% 123.61/124.06 (175) {G1,W4,D2,L1,V0,M1} R(1,123) { coll( skol27, skol22, skol29 ) }.
% 123.61/124.06 (200) {G1,W12,D2,L3,V4,M3} R(2,0) { ! coll( X, Y, Z ), ! coll( X, Y, T ),
% 123.61/124.06 coll( Z, X, T ) }.
% 123.61/124.06 (205) {G2,W8,D2,L2,V3,M2} F(200) { ! coll( X, Y, Z ), coll( Z, X, Z ) }.
% 123.61/124.06 (228) {G1,W10,D2,L2,V4,M2} R(4,3) { para( X, Y, Z, T ), ! para( Z, T, Y, X
% 123.61/124.06 ) }.
% 123.61/124.06 (229) {G1,W10,D2,L2,V4,M2} R(4,3) { ! para( X, Y, Z, T ), para( Z, T, Y, X
% 123.61/124.06 ) }.
% 123.61/124.06 (272) {G1,W10,D2,L2,V4,M2} R(7,6) { perp( X, Y, Z, T ), ! perp( Z, T, Y, X
% 123.61/124.06 ) }.
% 123.61/124.06 (274) {G1,W5,D2,L1,V0,M1} R(120,7) { perp( skol25, skol26, skol29, skol27 )
% 123.61/124.06 }.
% 123.61/124.06 (276) {G2,W5,D2,L1,V0,M1} R(274,6) { perp( skol25, skol26, skol27, skol29 )
% 123.61/124.06 }.
% 123.61/124.06 (278) {G3,W10,D2,L2,V2,M2} R(8,276) { ! perp( skol27, skol29, X, Y ), para
% 123.61/124.06 ( skol25, skol26, X, Y ) }.
% 123.61/124.06 (281) {G2,W10,D2,L2,V2,M2} R(8,274) { ! perp( X, Y, skol25, skol26 ), para
% 123.61/124.06 ( X, Y, skol29, skol27 ) }.
% 123.61/124.06 (285) {G1,W15,D2,L3,V6,M3} R(8,7) { ! perp( X, Y, Z, T ), para( X, Y, U, W
% 123.61/124.06 ), ! perp( U, W, Z, T ) }.
% 123.61/124.06 (293) {G2,W10,D2,L2,V4,M2} F(285) { ! perp( X, Y, Z, T ), para( X, Y, X, Y
% 123.61/124.06 ) }.
% 123.61/124.06 (325) {G1,W10,D2,L2,V2,M2} R(118,8) { ! perp( skol25, skol27, X, Y ), para
% 123.61/124.06 ( skol28, skol26, X, Y ) }.
% 123.61/124.06 (327) {G1,W5,D2,L1,V0,M1} R(118,7) { perp( skol25, skol27, skol28, skol26 )
% 123.61/124.06 }.
% 123.61/124.06 (332) {G2,W5,D2,L1,V0,M1} R(327,6) { perp( skol25, skol27, skol26, skol28 )
% 123.61/124.06 }.
% 123.61/124.06 (336) {G3,W5,D2,L1,V0,M1} R(332,7) { perp( skol26, skol28, skol25, skol27 )
% 123.61/124.06 }.
% 123.61/124.06 (337) {G1,W4,D2,L1,V0,M1} R(10,124) { midp( skol30, skol26, skol27 ) }.
% 123.61/124.06 (339) {G1,W4,D2,L1,V0,M1} R(10,126) { midp( skol24, skol27, skol29 ) }.
% 123.61/124.06 (343) {G4,W5,D2,L1,V0,M1} R(336,6) { perp( skol26, skol28, skol27, skol25 )
% 123.61/124.06 }.
% 123.61/124.06 (347) {G5,W5,D2,L1,V0,M1} R(343,7) { perp( skol27, skol25, skol26, skol28 )
% 123.61/124.06 }.
% 123.61/124.06 (351) {G6,W5,D2,L1,V0,M1} R(347,6) { perp( skol27, skol25, skol28, skol26 )
% 123.61/124.06 }.
% 123.61/124.06 (353) {G7,W10,D2,L2,V2,M2} R(351,8) { ! perp( skol28, skol26, X, Y ), para
% 123.61/124.06 ( skol27, skol25, X, Y ) }.
% 123.61/124.06 (362) {G1,W5,D2,L1,V0,M1} R(116,7) { perp( skol26, skol27, skol20, skol25 )
% 123.61/124.06 }.
% 123.61/124.06 (367) {G2,W5,D2,L1,V0,M1} R(362,6) { perp( skol26, skol27, skol25, skol20 )
% 123.61/124.06 }.
% 123.61/124.06 (371) {G3,W5,D2,L1,V0,M1} R(367,7) { perp( skol25, skol20, skol26, skol27 )
% 123.61/124.06 }.
% 123.61/124.06 (375) {G4,W5,D2,L1,V0,M1} R(371,6) { perp( skol25, skol20, skol27, skol26 )
% 123.61/124.06 }.
% 123.61/124.06 (376) {G1,W5,D2,L1,V0,M1} R(13,127) { ! cyclic( skol23, skol24, skol20,
% 123.61/124.06 skol22 ) }.
% 123.61/124.06 (377) {G5,W10,D2,L2,V2,M2} R(375,9) { ! para( X, Y, skol25, skol20 ), perp
% 123.61/124.06 ( X, Y, skol27, skol26 ) }.
% 123.61/124.06 (380) {G5,W5,D2,L1,V0,M1} R(375,7) { perp( skol27, skol26, skol25, skol20 )
% 123.61/124.06 }.
% 123.61/124.06 (381) {G6,W10,D2,L2,V2,M2} R(380,9) { ! para( X, Y, skol27, skol26 ), perp
% 123.61/124.06 ( X, Y, skol25, skol20 ) }.
% 123.61/124.06 (390) {G1,W10,D2,L2,V4,M2} R(14,13) { ! cyclic( X, Y, Z, T ), cyclic( X, Z
% 123.61/124.06 , T, Y ) }.
% 123.61/124.06 (398) {G1,W10,D2,L2,V4,M2} R(15,14) { cyclic( X, Y, Z, T ), ! cyclic( Y, Z
% 123.61/124.06 , X, T ) }.
% 123.61/124.06 (399) {G1,W10,D2,L2,V4,M2} R(15,14) { ! cyclic( X, Y, Z, T ), cyclic( Y, Z
% 123.61/124.06 , X, T ) }.
% 123.61/124.06 (400) {G2,W5,D2,L1,V0,M1} R(15,376) { ! cyclic( skol24, skol23, skol20,
% 123.61/124.06 skol22 ) }.
% 123.61/124.06 (401) {G1,W10,D2,L2,V4,M2} R(15,13) { cyclic( X, Y, Z, T ), ! cyclic( Y, X
% 123.61/124.06 , T, Z ) }.
% 123.61/124.06 (422) {G1,W15,D2,L3,V5,M3} R(16,15) { ! cyclic( X, Y, Z, T ), ! cyclic( X,
% 123.61/124.06 Y, Z, U ), cyclic( Z, Y, T, U ) }.
% 123.61/124.06 (430) {G1,W15,D2,L3,V5,M3} R(16,13) { ! cyclic( X, Y, Z, T ), cyclic( Y, Z
% 123.61/124.06 , T, U ), ! cyclic( X, Y, U, Z ) }.
% 123.61/124.06 (434) {G2,W10,D2,L2,V4,M2} F(422) { ! cyclic( X, Y, Z, T ), cyclic( Z, Y, T
% 123.61/124.06 , T ) }.
% 123.61/124.06 (455) {G3,W10,D2,L2,V1,M2} R(400,16) { ! cyclic( X, skol24, skol23, skol20
% 123.61/124.06 ), ! cyclic( X, skol24, skol23, skol22 ) }.
% 123.61/124.06 (472) {G3,W4,D2,L1,V0,M1} R(205,175) { coll( skol29, skol27, skol29 ) }.
% 123.61/124.06 (479) {G3,W4,D2,L1,V0,M1} R(205,170) { coll( skol27, skol29, skol27 ) }.
% 123.61/124.06 (480) {G3,W12,D2,L3,V4,M3} R(205,2) { coll( X, Y, X ), ! coll( X, Z, Y ), !
% 123.61/124.06 coll( X, Z, T ) }.
% 123.61/124.06 (495) {G4,W8,D2,L2,V3,M2} F(480) { coll( X, Y, X ), ! coll( X, Z, Y ) }.
% 123.61/124.06 (542) {G1,W10,D2,L2,V4,M2} R(23,22) { cong( X, Y, Z, T ), ! cong( Z, T, Y,
% 123.61/124.06 X ) }.
% 123.61/124.06 (545) {G1,W20,D2,L4,V5,M4} R(23,12) { ! cong( X, Y, X, Z ), ! cong( X, Z, X
% 123.61/124.06 , T ), ! cong( X, Z, X, U ), cyclic( Z, T, Y, U ) }.
% 123.61/124.06 (546) {G1,W20,D2,L4,V5,M4} R(23,12) { ! cong( X, Y, X, Z ), ! cong( X, Z, X
% 123.61/124.06 , T ), ! cong( X, Z, X, U ), cyclic( Z, T, U, Y ) }.
% 123.61/124.06 (711) {G4,W4,D2,L1,V0,M1} R(479,0) { coll( skol27, skol27, skol29 ) }.
% 123.61/124.06 (1021) {G1,W25,D2,L5,V4,M5} R(43,39) { ! cyclic( X, Y, Z, T ), ! cyclic( X
% 123.61/124.06 , Y, Z, Y ), ! cyclic( X, Y, Z, Z ), cong( X, Y, T, Y ), ! para( Z, X, Z
% 123.61/124.06 , T ) }.
% 123.61/124.06 (1245) {G5,W8,D2,L2,V3,M2} R(495,1) { ! coll( X, Y, Z ), coll( Z, X, X )
% 123.61/124.06 }.
% 123.61/124.06 (1250) {G6,W8,D2,L2,V3,M2} R(1245,1) { coll( X, Y, Y ), ! coll( Z, Y, X )
% 123.61/124.06 }.
% 123.61/124.06 (1251) {G6,W8,D2,L2,V3,M2} R(1245,0) { coll( X, Y, Y ), ! coll( Y, X, Z )
% 123.61/124.06 }.
% 123.61/124.06 (1266) {G7,W8,D2,L2,V3,M2} R(1251,1251) { ! coll( X, Y, Z ), coll( X, Y, Y
% 123.61/124.06 ) }.
% 123.61/124.06 (1269) {G8,W12,D2,L3,V4,M3} R(1266,2) { ! coll( X, Y, Z ), ! coll( X, Y, T
% 123.61/124.06 ), coll( T, Y, X ) }.
% 123.61/124.06 (1270) {G9,W8,D2,L2,V3,M2} F(1269) { ! coll( X, Y, Z ), coll( Z, Y, X ) }.
% 123.61/124.06 (1274) {G10,W8,D2,L2,V3,M2} R(1270,1250) { coll( X, X, Y ), ! coll( Z, X, Y
% 123.61/124.06 ) }.
% 123.61/124.06 (1352) {G11,W8,D2,L2,V3,M2} R(69,1274) { ! midp( X, Y, Z ), coll( Y, Y, Z )
% 123.61/124.06 }.
% 123.61/124.06 (1356) {G10,W8,D2,L2,V3,M2} R(69,1270) { ! midp( X, Y, Z ), coll( Z, Y, X )
% 123.61/124.06 }.
% 123.61/124.06 (1374) {G1,W8,D2,L2,V3,M2} R(69,1) { ! midp( X, Y, Z ), coll( Y, X, Z ) }.
% 123.61/124.06 (1377) {G1,W4,D2,L1,V0,M1} R(69,126) { coll( skol24, skol29, skol27 ) }.
% 123.61/124.06 (1789) {G1,W14,D2,L3,V4,M3} R(55,7) { ! midp( X, Y, Z ), cong( T, Y, T, Z )
% 123.61/124.06 , ! perp( Y, Z, T, X ) }.
% 123.61/124.06 (1830) {G1,W15,D2,L3,V4,M3} R(56,7) { ! cong( X, Y, Z, Y ), ! cong( X, T, Z
% 123.61/124.06 , T ), perp( Y, T, X, Z ) }.
% 123.61/124.06 (1831) {G2,W10,D2,L2,V3,M2} F(1830) { ! cong( X, Y, Z, Y ), perp( Y, Y, X,
% 123.61/124.06 Z ) }.
% 123.61/124.06 (2095) {G1,W20,D2,L5,V6,M5} R(63,45) { ! midp( X, Y, Z ), ! midp( X, T, U )
% 123.61/124.06 , ! midp( Y, W, Z ), ! coll( T, W, U ), midp( T, W, U ) }.
% 123.61/124.06 (2104) {G1,W13,D2,L3,V5,M3} R(63,10) { ! midp( X, Y, Z ), para( Y, T, Z, U
% 123.61/124.06 ), ! midp( X, U, T ) }.
% 123.61/124.06 (2111) {G1,W9,D2,L2,V2,M2} R(63,124) { ! midp( skol30, X, Y ), para( X,
% 123.61/124.06 skol27, Y, skol26 ) }.
% 123.61/124.06 (2120) {G2,W9,D2,L2,V3,M2} F(2104) { ! midp( X, Y, Z ), para( Y, Z, Z, Y )
% 123.61/124.06 }.
% 123.61/124.06 (2123) {G2,W12,D2,L3,V4,M3} F(2095);r(1374) { ! midp( X, X, Y ), ! midp( X
% 123.61/124.06 , Z, T ), midp( Z, X, T ) }.
% 123.61/124.06 (2158) {G2,W14,D2,L3,V2,M3} R(64,339) { ! para( skol27, X, skol29, Y ), !
% 123.61/124.06 para( skol27, Y, skol29, X ), midp( skol24, X, Y ) }.
% 123.61/124.06 (2561) {G1,W9,D2,L2,V3,M2} R(68,23) { ! midp( X, Y, Z ), cong( X, Z, X, Y )
% 123.61/124.06 }.
% 123.61/124.06 (2562) {G1,W9,D2,L2,V3,M2} R(68,22) { ! midp( X, Y, Z ), cong( X, Y, Z, X )
% 123.61/124.06 }.
% 123.61/124.06 (2570) {G2,W5,D2,L1,V0,M1} R(68,337) { cong( skol30, skol26, skol30, skol27
% 123.61/124.06 ) }.
% 123.61/124.06 (2573) {G1,W5,D2,L1,V0,M1} R(68,126) { cong( skol24, skol29, skol24, skol27
% 123.61/124.06 ) }.
% 123.61/124.06 (2756) {G3,W10,D2,L2,V2,M2} R(2570,24) { ! cong( skol30, skol27, X, Y ),
% 123.61/124.06 cong( skol30, skol26, X, Y ) }.
% 123.61/124.06 (2761) {G3,W15,D2,L3,V2,M3} R(2570,12) { ! cong( skol30, skol26, skol30, X
% 123.61/124.06 ), ! cong( skol30, skol26, skol30, Y ), cyclic( skol26, X, Y, skol27 )
% 123.61/124.06 }.
% 123.61/124.06 (2764) {G4,W10,D2,L2,V1,M2} F(2761) { ! cong( skol30, skol26, skol30, X ),
% 123.61/124.06 cyclic( skol26, X, X, skol27 ) }.
% 123.61/124.06 (2784) {G1,W15,D2,L3,V3,M3} R(73,46) { ! perp( X, Y, Z, Y ), perp( Z, X, X
% 123.61/124.06 , Y ), ! cong( Z, X, Z, Y ) }.
% 123.61/124.06 (7361) {G2,W5,D2,L1,V0,M1} R(130,2573) { circle( skol24, skol29, skol27,
% 123.61/124.06 skol27 ) }.
% 123.61/124.06 (7375) {G3,W5,D2,L1,V0,M1} R(7361,53);r(1377) { perp( skol29, skol27,
% 123.61/124.06 skol27, skol27 ) }.
% 123.61/124.06 (7397) {G4,W5,D2,L1,V0,M1} R(7375,7) { perp( skol27, skol27, skol29, skol27
% 123.61/124.06 ) }.
% 123.61/124.06 (7412) {G5,W5,D2,L1,V0,M1} R(7397,6) { perp( skol27, skol27, skol27, skol29
% 123.61/124.06 ) }.
% 123.61/124.06 (7447) {G6,W5,D2,L1,V0,M1} R(7412,7) { perp( skol27, skol29, skol27, skol27
% 123.61/124.06 ) }.
% 123.61/124.06 (8369) {G5,W10,D3,L2,V1,M2} R(150,339);r(711) { ! coll( skol29, skol27,
% 123.61/124.06 skol29 ), midp( skol7( skol27, X ), skol27, X ) }.
% 123.61/124.06 (16936) {G7,W5,D2,L1,V0,M1} R(278,7447) { para( skol25, skol26, skol27,
% 123.61/124.06 skol27 ) }.
% 123.61/124.06 (17231) {G8,W5,D2,L1,V0,M1} R(16936,229) { para( skol27, skol27, skol26,
% 123.61/124.06 skol25 ) }.
% 123.61/124.06 (17252) {G9,W5,D2,L1,V0,M1} R(17231,229) { para( skol26, skol25, skol27,
% 123.61/124.06 skol27 ) }.
% 123.61/124.06 (17294) {G10,W12,D2,L3,V1,M3} R(17252,45) { ! midp( skol26, X, skol27 ), !
% 123.61/124.06 coll( skol25, X, skol27 ), midp( skol25, X, skol27 ) }.
% 123.61/124.06 (18228) {G5,W5,D2,L1,V0,M1} R(293,375) { para( skol25, skol20, skol25,
% 123.61/124.06 skol20 ) }.
% 123.61/124.06 (18229) {G7,W5,D2,L1,V0,M1} R(293,351) { para( skol27, skol25, skol27,
% 123.61/124.06 skol25 ) }.
% 123.61/124.06 (18473) {G6,W8,D2,L2,V1,M2} R(18228,144) { ! midp( X, skol25, skol25 ),
% 123.61/124.06 midp( X, skol20, skol20 ) }.
% 123.61/124.06 (18478) {G8,W5,D2,L1,V0,M1} R(18229,228) { para( skol25, skol27, skol27,
% 123.61/124.06 skol25 ) }.
% 123.61/124.06 (18481) {G8,W8,D2,L2,V1,M2} R(18229,144) { ! midp( X, skol27, skol27 ),
% 123.61/124.06 midp( X, skol25, skol25 ) }.
% 123.61/124.06 (18521) {G11,W8,D2,L2,V1,M2} R(18478,45);r(1356) { ! midp( skol25, X,
% 123.61/124.06 skol27 ), midp( skol27, X, skol25 ) }.
% 123.61/124.06 (20052) {G6,W6,D3,L1,V1,M1} S(8369);r(472) { midp( skol7( skol27, X ),
% 123.61/124.06 skol27, X ) }.
% 123.61/124.06 (20241) {G12,W4,D2,L1,V1,M1} R(20052,1352) { coll( skol27, skol27, X ) }.
% 123.61/124.06 (20258) {G7,W6,D3,L1,V1,M1} R(20052,10) { midp( skol7( skol27, X ), X,
% 123.61/124.06 skol27 ) }.
% 123.61/124.06 (20370) {G13,W4,D2,L1,V2,M1} R(20241,200);r(20241) { coll( Y, skol27, X )
% 123.61/124.06 }.
% 123.61/124.06 (20393) {G14,W4,D2,L1,V3,M1} R(20370,200);r(20370) { coll( Z, X, Y ) }.
% 123.61/124.06 (23371) {G8,W10,D2,L2,V0,M2} R(377,353) { ! para( skol28, skol26, skol25,
% 123.61/124.06 skol20 ), para( skol27, skol25, skol27, skol26 ) }.
% 123.61/124.06 (23627) {G7,W10,D2,L2,V0,M2} R(381,325) { ! para( skol25, skol27, skol27,
% 123.61/124.06 skol26 ), para( skol28, skol26, skol25, skol20 ) }.
% 123.61/124.06 (25946) {G9,W6,D3,L1,V0,M1} R(18481,20258) { midp( skol7( skol27, skol27 )
% 123.61/124.06 , skol25, skol25 ) }.
% 123.61/124.06 (26111) {G10,W6,D3,L1,V0,M1} R(18473,25946) { midp( skol7( skol27, skol27 )
% 123.61/124.06 , skol20, skol20 ) }.
% 123.61/124.06 (40160) {G15,W8,D2,L2,V1,M2} S(17294);r(20393) { ! midp( skol26, X, skol27
% 123.61/124.06 ), midp( skol25, X, skol27 ) }.
% 123.61/124.06 (62259) {G16,W8,D2,L2,V1,M2} R(40160,18521) { ! midp( skol26, X, skol27 ),
% 123.61/124.06 midp( skol27, X, skol25 ) }.
% 123.61/124.06 (84026) {G8,W5,D2,L1,V1,M1} R(2120,20258) { para( X, skol27, skol27, X )
% 123.61/124.06 }.
% 123.61/124.06 (85079) {G9,W5,D2,L1,V1,M1} R(84026,229) { para( skol27, X, skol27, X ) }.
% 123.61/124.06 (85080) {G9,W5,D2,L1,V1,M1} R(84026,228) { para( X, skol27, X, skol27 ) }.
% 123.61/124.06 (85088) {G10,W8,D2,L2,V2,M2} R(85080,144) { ! midp( X, Y, Y ), midp( X,
% 123.61/124.06 skol27, skol27 ) }.
% 123.61/124.06 (85196) {G11,W8,D2,L2,V3,M2} R(85088,144);r(85079) { ! midp( X, Y, Y ),
% 123.61/124.06 midp( X, Z, Z ) }.
% 123.61/124.06 (85202) {G12,W12,D2,L3,V4,M3} R(85196,2123) { ! midp( X, Y, Y ), ! midp( X
% 123.61/124.06 , Z, T ), midp( Z, X, T ) }.
% 123.61/124.06 (85495) {G12,W6,D3,L1,V1,M1} R(85196,26111) { midp( skol7( skol27, skol27 )
% 123.61/124.06 , X, X ) }.
% 123.61/124.06 (85508) {G13,W8,D2,L2,V2,M2} F(85202) { ! midp( X, Y, Y ), midp( Y, X, Y )
% 123.61/124.06 }.
% 123.61/124.06 (85708) {G14,W6,D3,L1,V1,M1} R(85508,85495) { midp( X, skol7( skol27,
% 123.61/124.06 skol27 ), X ) }.
% 123.61/124.06 (85962) {G15,W6,D3,L1,V1,M1} R(85708,10) { midp( X, X, skol7( skol27,
% 123.61/124.06 skol27 ) ) }.
% 123.61/124.06 (85985) {G16,W8,D2,L2,V3,M2} R(85962,2123) { ! midp( X, Y, Z ), midp( Y, X
% 123.61/124.06 , Z ) }.
% 123.61/124.06 (100046) {G17,W4,D2,L1,V0,M1} R(85985,337) { midp( skol26, skol30, skol27 )
% 123.61/124.06 }.
% 123.61/124.06 (100654) {G18,W4,D2,L1,V0,M1} R(100046,62259) { midp( skol27, skol30,
% 123.61/124.06 skol25 ) }.
% 123.61/124.06 (100828) {G19,W4,D2,L1,V0,M1} R(100654,85985) { midp( skol30, skol27,
% 123.61/124.06 skol25 ) }.
% 123.61/124.06 (100947) {G20,W5,D2,L1,V0,M1} R(100828,2561) { cong( skol30, skol25, skol30
% 123.61/124.06 , skol27 ) }.
% 123.61/124.06 (101034) {G20,W5,D2,L1,V0,M1} R(100828,68) { cong( skol30, skol27, skol30,
% 123.61/124.06 skol25 ) }.
% 123.61/124.06 (101043) {G20,W4,D2,L1,V0,M1} R(100828,10) { midp( skol30, skol25, skol27 )
% 123.61/124.06 }.
% 123.61/124.06 (101069) {G21,W5,D2,L1,V0,M1} R(101043,2111) { para( skol25, skol27, skol27
% 123.61/124.06 , skol26 ) }.
% 123.61/124.06 (101542) {G22,W5,D2,L1,V0,M1} S(23627);r(101069) { para( skol28, skol26,
% 123.61/124.06 skol25, skol20 ) }.
% 123.61/124.06 (101545) {G23,W5,D2,L1,V0,M1} S(23371);r(101542) { para( skol27, skol25,
% 123.61/124.06 skol27, skol26 ) }.
% 123.61/124.06 (116424) {G21,W5,D2,L1,V0,M1} R(100947,134) { cyclic( skol25, skol27,
% 123.61/124.06 skol27, skol27 ) }.
% 123.61/124.06 (130508) {G21,W5,D2,L1,V0,M1} R(2756,101034) { cong( skol30, skol26, skol30
% 123.61/124.06 , skol25 ) }.
% 123.61/124.06 (131900) {G22,W5,D2,L1,V0,M1} R(2764,130508) { cyclic( skol26, skol25,
% 123.61/124.06 skol25, skol27 ) }.
% 123.61/124.06 (131994) {G23,W5,D2,L1,V0,M1} R(131900,401) { cyclic( skol25, skol26,
% 123.61/124.06 skol27, skol25 ) }.
% 123.61/124.06 (133199) {G24,W5,D2,L1,V0,M1} R(131994,434) { cyclic( skol27, skol26,
% 123.61/124.06 skol25, skol25 ) }.
% 123.61/124.06 (133231) {G25,W5,D2,L1,V0,M1} R(133199,390) { cyclic( skol27, skol25,
% 123.61/124.06 skol25, skol26 ) }.
% 123.61/124.06 (133273) {G26,W5,D2,L1,V0,M1} R(133231,399) { cyclic( skol25, skol25,
% 123.61/124.06 skol27, skol26 ) }.
% 123.61/124.06 (133307) {G27,W5,D2,L1,V0,M1} R(133273,434) { cyclic( skol27, skol25,
% 123.61/124.06 skol26, skol26 ) }.
% 123.61/124.06 (136014) {G28,W5,D2,L1,V0,M1} R(133307,398) { cyclic( skol26, skol27,
% 123.61/124.06 skol25, skol26 ) }.
% 123.61/124.06 (136033) {G29,W5,D2,L1,V0,M1} R(136014,390) { cyclic( skol26, skol25,
% 123.61/124.06 skol26, skol27 ) }.
% 123.61/124.06 (136052) {G30,W5,D2,L1,V0,M1} R(136033,434) { cyclic( skol26, skol25,
% 123.61/124.06 skol27, skol27 ) }.
% 123.61/124.06 (140725) {G31,W5,D2,L1,V0,M1} R(136052,398) { cyclic( skol27, skol26,
% 123.61/124.06 skol25, skol27 ) }.
% 123.61/124.06 (140744) {G32,W5,D2,L1,V0,M1} R(140725,390) { cyclic( skol27, skol25,
% 123.61/124.06 skol27, skol26 ) }.
% 123.61/124.06 (140846) {G33,W5,D2,L1,V0,M1} R(140744,399) { cyclic( skol25, skol27,
% 123.61/124.06 skol27, skol26 ) }.
% 123.61/124.06 (140858) {G34,W10,D2,L2,V0,M2} R(140846,1021);f;r(116424) { cong( skol25,
% 123.61/124.06 skol27, skol26, skol27 ), ! para( skol27, skol25, skol27, skol26 ) }.
% 123.61/124.06 (141622) {G35,W5,D2,L1,V0,M1} S(140858);r(101545) { cong( skol25, skol27,
% 123.61/124.06 skol26, skol27 ) }.
% 123.61/124.06 (141829) {G36,W5,D2,L1,V0,M1} R(141622,1831) { perp( skol27, skol27, skol25
% 123.61/124.06 , skol26 ) }.
% 123.61/124.06 (141996) {G37,W5,D2,L1,V0,M1} R(141829,281) { para( skol27, skol27, skol29
% 123.61/124.06 , skol27 ) }.
% 123.61/124.06 (142017) {G38,W4,D2,L1,V0,M1} R(141996,2158);r(141996) { midp( skol24,
% 123.61/124.06 skol27, skol27 ) }.
% 123.61/124.06 (142115) {G39,W4,D2,L1,V1,M1} R(142017,85196) { midp( skol24, X, X ) }.
% 123.61/124.06 (142204) {G40,W4,D2,L1,V1,M1} R(142115,85985) { midp( X, skol24, X ) }.
% 123.61/124.06 (142403) {G41,W5,D2,L1,V1,M1} R(142204,2562) { cong( X, skol24, X, X ) }.
% 123.61/124.06 (142509) {G41,W4,D2,L1,V1,M1} R(142204,10) { midp( X, X, skol24 ) }.
% 123.61/124.06 (142545) {G42,W5,D2,L1,V1,M1} R(142509,2562) { cong( X, X, skol24, X ) }.
% 123.61/124.06 (143562) {G43,W5,D2,L1,V1,M1} R(142545,1831) { perp( X, X, X, skol24 ) }.
% 123.61/124.06 (143681) {G44,W5,D2,L1,V1,M1} R(143562,272) { perp( skol24, X, X, X ) }.
% 123.61/124.06 (143696) {G45,W5,D2,L1,V1,M1} R(143681,2784);r(142403) { perp( X, skol24,
% 123.61/124.06 skol24, X ) }.
% 123.61/124.06 (143764) {G46,W5,D2,L1,V1,M1} R(143696,1789);r(142509) { cong( skol24, X,
% 123.61/124.06 skol24, skol24 ) }.
% 123.61/124.06 (143932) {G47,W15,D2,L3,V3,M3} R(143764,546) { ! cong( skol24, skol24,
% 123.61/124.06 skol24, X ), ! cong( skol24, skol24, skol24, Y ), cyclic( skol24, X, Y, Z
% 123.61/124.06 ) }.
% 123.61/124.06 (143935) {G47,W15,D2,L3,V3,M3} R(143764,545) { ! cong( skol24, skol24,
% 123.61/124.06 skol24, X ), ! cong( skol24, skol24, skol24, Y ), cyclic( skol24, X, Z, Y
% 123.61/124.06 ) }.
% 123.61/124.06 (143942) {G47,W5,D2,L1,V1,M1} R(143764,542) { cong( skol24, skol24, skol24
% 123.61/124.06 , X ) }.
% 123.61/124.06 (143984) {G48,W5,D2,L1,V2,M1} F(143935);r(143942) { cyclic( skol24, X, Y, X
% 123.61/124.06 ) }.
% 123.61/124.06 (143985) {G48,W5,D2,L1,V2,M1} F(143932);r(143942) { cyclic( skol24, X, X, Y
% 123.61/124.06 ) }.
% 123.61/124.06 (144033) {G49,W5,D2,L1,V3,M1} R(143985,430);r(143984) { cyclic( X, X, Y, Z
% 123.61/124.06 ) }.
% 123.61/124.06 (144077) {G50,W0,D0,L0,V0,M0} R(144033,455);r(144033) { }.
% 123.61/124.06
% 123.61/124.06
% 123.61/124.06 % SZS output end Refutation
% 123.61/124.06 found a proof!
% 123.61/124.06
% 123.61/124.06
% 123.61/124.06 Unprocessed initial clauses:
% 123.61/124.06
% 123.61/124.06 (144079) {G0,W8,D2,L2,V3,M2} { ! coll( X, Y, Z ), coll( X, Z, Y ) }.
% 123.61/124.06 (144080) {G0,W8,D2,L2,V3,M2} { ! coll( X, Y, Z ), coll( Y, X, Z ) }.
% 123.61/124.06 (144081) {G0,W12,D2,L3,V4,M3} { ! coll( X, T, Y ), ! coll( X, T, Z ), coll
% 123.61/124.06 ( Y, Z, X ) }.
% 123.61/124.06 (144082) {G0,W10,D2,L2,V4,M2} { ! para( X, Y, Z, T ), para( X, Y, T, Z )
% 123.61/124.06 }.
% 123.61/124.06 (144083) {G0,W10,D2,L2,V4,M2} { ! para( X, Y, Z, T ), para( Z, T, X, Y )
% 123.61/124.06 }.
% 123.61/124.06 (144084) {G0,W15,D2,L3,V6,M3} { ! para( X, Y, U, W ), ! para( U, W, Z, T )
% 123.61/124.06 , para( X, Y, Z, T ) }.
% 123.61/124.06 (144085) {G0,W10,D2,L2,V4,M2} { ! perp( X, Y, Z, T ), perp( X, Y, T, Z )
% 123.61/124.06 }.
% 123.61/124.06 (144086) {G0,W10,D2,L2,V4,M2} { ! perp( X, Y, Z, T ), perp( Z, T, X, Y )
% 123.61/124.06 }.
% 123.61/124.06 (144087) {G0,W15,D2,L3,V6,M3} { ! perp( X, Y, U, W ), ! perp( U, W, Z, T )
% 123.61/124.06 , para( X, Y, Z, T ) }.
% 123.61/124.06 (144088) {G0,W15,D2,L3,V6,M3} { ! para( X, Y, U, W ), ! perp( U, W, Z, T )
% 123.61/124.06 , perp( X, Y, Z, T ) }.
% 123.61/124.06 (144089) {G0,W8,D2,L2,V3,M2} { ! midp( Z, Y, X ), midp( Z, X, Y ) }.
% 123.61/124.06 (144090) {G0,W15,D2,L3,V4,M3} { ! cong( T, X, T, Y ), ! cong( T, X, T, Z )
% 123.61/124.06 , circle( T, X, Y, Z ) }.
% 123.61/124.06 (144091) {G0,W20,D2,L4,V5,M4} { ! cong( U, X, U, Y ), ! cong( U, X, U, Z )
% 123.61/124.06 , ! cong( U, X, U, T ), cyclic( X, Y, Z, T ) }.
% 123.61/124.06 (144092) {G0,W10,D2,L2,V4,M2} { ! cyclic( X, Y, Z, T ), cyclic( X, Y, T, Z
% 123.61/124.06 ) }.
% 123.61/124.06 (144093) {G0,W10,D2,L2,V4,M2} { ! cyclic( X, Y, Z, T ), cyclic( X, Z, Y, T
% 123.61/124.06 ) }.
% 123.61/124.06 (144094) {G0,W10,D2,L2,V4,M2} { ! cyclic( X, Y, Z, T ), cyclic( Y, X, Z, T
% 123.61/124.06 ) }.
% 123.61/124.06 (144095) {G0,W15,D2,L3,V5,M3} { ! cyclic( U, X, Y, Z ), ! cyclic( U, X, Y
% 123.61/124.06 , T ), cyclic( X, Y, Z, T ) }.
% 123.61/124.06 (144096) {G0,W18,D2,L2,V8,M2} { ! eqangle( X, Y, Z, T, U, W, V0, V1 ),
% 123.61/124.06 eqangle( Y, X, Z, T, U, W, V0, V1 ) }.
% 123.61/124.06 (144097) {G0,W18,D2,L2,V8,M2} { ! eqangle( X, Y, Z, T, U, W, V0, V1 ),
% 123.61/124.06 eqangle( Z, T, X, Y, V0, V1, U, W ) }.
% 123.61/124.06 (144098) {G0,W18,D2,L2,V8,M2} { ! eqangle( X, Y, Z, T, U, W, V0, V1 ),
% 123.61/124.06 eqangle( U, W, V0, V1, X, Y, Z, T ) }.
% 123.61/124.06 (144099) {G0,W18,D2,L2,V8,M2} { ! eqangle( X, Y, Z, T, U, W, V0, V1 ),
% 123.61/124.06 eqangle( X, Y, U, W, Z, T, V0, V1 ) }.
% 123.61/124.06 (144100) {G0,W27,D2,L3,V12,M3} { ! eqangle( X, Y, Z, T, V2, V3, V4, V5 ),
% 123.61/124.06 ! eqangle( V2, V3, V4, V5, U, W, V0, V1 ), eqangle( X, Y, Z, T, U, W, V0
% 123.61/124.06 , V1 ) }.
% 123.61/124.06 (144101) {G0,W10,D2,L2,V4,M2} { ! cong( X, Y, Z, T ), cong( X, Y, T, Z )
% 123.61/124.06 }.
% 123.61/124.06 (144102) {G0,W10,D2,L2,V4,M2} { ! cong( X, Y, Z, T ), cong( Z, T, X, Y )
% 123.61/124.06 }.
% 123.61/124.06 (144103) {G0,W15,D2,L3,V6,M3} { ! cong( X, Y, U, W ), ! cong( U, W, Z, T )
% 123.61/124.06 , cong( X, Y, Z, T ) }.
% 123.61/124.06 (144104) {G0,W18,D2,L2,V8,M2} { ! eqratio( X, Y, Z, T, U, W, V0, V1 ),
% 123.61/124.06 eqratio( Y, X, Z, T, U, W, V0, V1 ) }.
% 123.61/124.06 (144105) {G0,W18,D2,L2,V8,M2} { ! eqratio( X, Y, Z, T, U, W, V0, V1 ),
% 123.61/124.06 eqratio( Z, T, X, Y, V0, V1, U, W ) }.
% 123.61/124.06 (144106) {G0,W18,D2,L2,V8,M2} { ! eqratio( X, Y, Z, T, U, W, V0, V1 ),
% 123.61/124.06 eqratio( U, W, V0, V1, X, Y, Z, T ) }.
% 123.61/124.06 (144107) {G0,W18,D2,L2,V8,M2} { ! eqratio( X, Y, Z, T, U, W, V0, V1 ),
% 123.61/124.06 eqratio( X, Y, U, W, Z, T, V0, V1 ) }.
% 123.61/124.06 (144108) {G0,W27,D2,L3,V12,M3} { ! eqratio( X, Y, Z, T, V2, V3, V4, V5 ),
% 123.61/124.06 ! eqratio( V2, V3, V4, V5, U, W, V0, V1 ), eqratio( X, Y, Z, T, U, W, V0
% 123.61/124.06 , V1 ) }.
% 123.61/124.06 (144109) {G0,W14,D2,L2,V6,M2} { ! simtri( X, Z, Y, T, W, U ), simtri( X, Y
% 123.61/124.06 , Z, T, U, W ) }.
% 123.61/124.06 (144110) {G0,W14,D2,L2,V6,M2} { ! simtri( Y, X, Z, U, T, W ), simtri( X, Y
% 123.61/124.06 , Z, T, U, W ) }.
% 123.61/124.06 (144111) {G0,W14,D2,L2,V6,M2} { ! simtri( T, U, W, X, Y, Z ), simtri( X, Y
% 123.61/124.06 , Z, T, U, W ) }.
% 123.61/124.06 (144112) {G0,W21,D2,L3,V9,M3} { ! simtri( X, Y, Z, V0, V1, V2 ), ! simtri
% 123.61/124.06 ( V0, V1, V2, T, U, W ), simtri( X, Y, Z, T, U, W ) }.
% 123.61/124.06 (144113) {G0,W14,D2,L2,V6,M2} { ! contri( X, Z, Y, T, W, U ), contri( X, Y
% 123.61/124.06 , Z, T, U, W ) }.
% 123.61/124.06 (144114) {G0,W14,D2,L2,V6,M2} { ! contri( Y, X, Z, U, T, W ), contri( X, Y
% 123.61/124.06 , Z, T, U, W ) }.
% 123.61/124.06 (144115) {G0,W14,D2,L2,V6,M2} { ! contri( T, U, W, X, Y, Z ), contri( X, Y
% 123.61/124.06 , Z, T, U, W ) }.
% 123.61/124.06 (144116) {G0,W21,D2,L3,V9,M3} { ! contri( X, Y, Z, V0, V1, V2 ), ! contri
% 123.61/124.06 ( V0, V1, V2, T, U, W ), contri( X, Y, Z, T, U, W ) }.
% 123.61/124.06 (144117) {G0,W14,D2,L2,V6,M2} { ! eqangle( X, Y, U, W, Z, T, U, W ), para
% 123.61/124.06 ( X, Y, Z, T ) }.
% 123.61/124.06 (144118) {G0,W14,D2,L2,V6,M2} { ! para( X, Y, Z, T ), eqangle( X, Y, U, W
% 123.61/124.06 , Z, T, U, W ) }.
% 123.61/124.06 (144119) {G0,W14,D2,L2,V4,M2} { ! cyclic( X, Y, Z, T ), eqangle( Z, X, Z,
% 123.61/124.06 Y, T, X, T, Y ) }.
% 123.61/124.06 (144120) {G0,W18,D2,L3,V4,M3} { ! eqangle( Z, X, Z, Y, T, X, T, Y ), coll
% 123.61/124.06 ( Z, T, X ), cyclic( X, Y, Z, T ) }.
% 123.61/124.06 (144121) {G0,W18,D2,L3,V4,M3} { ! eqangle( Z, X, Z, Y, T, X, T, Y ), !
% 123.61/124.06 coll( Z, T, Y ), cyclic( X, Y, Z, T ) }.
% 123.61/124.06 (144122) {G0,W29,D2,L5,V6,M5} { ! cyclic( X, Y, U, Z ), ! cyclic( X, Y, U
% 123.61/124.06 , T ), ! cyclic( X, Y, U, W ), ! eqangle( U, X, U, Y, W, Z, W, T ), cong
% 123.61/124.06 ( X, Y, Z, T ) }.
% 123.61/124.06 (144123) {G0,W13,D2,L3,V5,M3} { ! midp( Z, U, X ), ! midp( T, U, Y ), para
% 123.61/124.06 ( Z, T, X, Y ) }.
% 123.61/124.06 (144124) {G0,W17,D2,L4,V5,M4} { ! midp( U, X, T ), ! para( U, Z, T, Y ), !
% 123.61/124.06 coll( Z, X, Y ), midp( Z, X, Y ) }.
% 123.61/124.06 (144125) {G0,W14,D2,L2,V3,M2} { ! cong( Z, X, Z, Y ), eqangle( Z, X, X, Y
% 123.61/124.06 , X, Y, Z, Y ) }.
% 123.61/124.06 (144126) {G0,W18,D2,L3,V3,M3} { ! eqangle( Z, X, X, Y, X, Y, Z, Y ), coll
% 123.61/124.06 ( Z, X, Y ), cong( Z, X, Z, Y ) }.
% 123.61/124.06 (144127) {G0,W19,D2,L3,V5,M3} { ! circle( U, X, Y, Z ), ! perp( U, X, X, T
% 123.61/124.06 ), eqangle( X, T, X, Y, Z, X, Z, Y ) }.
% 123.61/124.06 (144128) {G0,W19,D2,L3,V5,M3} { ! circle( Y, X, T, U ), ! eqangle( X, Z, X
% 123.61/124.06 , T, U, X, U, T ), perp( Y, X, X, Z ) }.
% 123.61/124.06 (144129) {G0,W18,D2,L3,V5,M3} { ! circle( T, X, Y, Z ), ! midp( U, Y, Z )
% 123.61/124.06 , eqangle( X, Y, X, Z, T, Y, T, U ) }.
% 123.61/124.06 (144130) {G0,W22,D2,L4,V5,M4} { ! circle( U, T, X, Y ), ! coll( Z, X, Y )
% 123.61/124.06 , ! eqangle( T, X, T, Y, U, X, U, Z ), midp( Z, X, Y ) }.
% 123.61/124.06 (144131) {G0,W14,D2,L3,V4,M3} { ! perp( X, Y, Y, T ), ! midp( Z, X, T ),
% 123.61/124.06 cong( X, Z, Y, Z ) }.
% 123.61/124.06 (144132) {G0,W14,D2,L3,V4,M3} { ! circle( T, X, Y, Z ), ! coll( T, X, Z )
% 123.61/124.06 , perp( X, Y, Y, Z ) }.
% 123.61/124.06 (144133) {G0,W19,D2,L3,V4,M3} { ! cyclic( X, Y, Z, T ), ! para( X, Y, Z, T
% 123.61/124.06 ), eqangle( X, T, Z, T, Z, T, Z, Y ) }.
% 123.61/124.06 (144134) {G0,W14,D2,L3,V4,M3} { ! midp( T, X, Y ), ! perp( Z, T, X, Y ),
% 123.61/124.06 cong( Z, X, Z, Y ) }.
% 123.61/124.06 (144135) {G0,W15,D2,L3,V4,M3} { ! cong( X, Z, Y, Z ), ! cong( X, T, Y, T )
% 123.61/124.06 , perp( X, Y, Z, T ) }.
% 123.61/124.06 (144136) {G0,W20,D2,L4,V4,M4} { ! cong( X, Y, T, Y ), ! cong( X, Z, T, Z )
% 123.61/124.06 , ! cyclic( X, T, Y, Z ), perp( Y, X, X, Z ) }.
% 123.61/124.06 (144137) {G0,W29,D2,L4,V6,M4} { ! eqangle( X, Y, Y, Z, T, U, U, W ), !
% 123.61/124.06 eqangle( X, Z, Y, Z, T, W, U, W ), coll( X, Y, Z ), simtri( X, Y, Z, T, U
% 123.61/124.06 , W ) }.
% 123.61/124.06 (144138) {G0,W16,D2,L2,V6,M2} { ! simtri( X, Y, Z, T, U, W ), eqratio( X,
% 123.61/124.06 Y, X, Z, T, U, T, W ) }.
% 123.61/124.06 (144139) {G0,W16,D2,L2,V6,M2} { ! simtri( X, Y, Z, T, U, W ), eqangle( X,
% 123.61/124.06 Y, Y, Z, T, U, U, W ) }.
% 123.61/124.06 (144140) {G0,W19,D2,L3,V6,M3} { ! simtri( X, Y, Z, T, U, W ), ! cong( X, Y
% 123.61/124.06 , T, U ), contri( X, Y, Z, T, U, W ) }.
% 123.61/124.06 (144141) {G0,W12,D2,L2,V6,M2} { ! contri( X, Y, U, Z, T, W ), cong( X, Y,
% 123.61/124.06 Z, T ) }.
% 123.61/124.06 (144142) {G0,W13,D2,L3,V5,M3} { ! midp( U, X, Y ), ! midp( U, Z, T ), para
% 123.61/124.06 ( X, Z, Y, T ) }.
% 123.61/124.06 (144143) {G0,W18,D2,L4,V5,M4} { ! midp( Z, T, U ), ! para( T, X, U, Y ), !
% 123.61/124.06 para( T, Y, U, X ), midp( Z, X, Y ) }.
% 123.61/124.06 (144144) {G0,W22,D2,L4,V5,M4} { ! para( X, Y, Z, T ), ! coll( U, X, Z ), !
% 123.61/124.06 coll( U, Y, T ), eqratio( U, X, X, Z, U, Y, Y, T ) }.
% 123.61/124.06 (144145) {G0,W9,D2,L2,V3,M2} { ! para( X, Y, X, Z ), coll( X, Y, Z ) }.
% 123.61/124.06 (144146) {G0,W13,D2,L3,V3,M3} { ! cong( X, Y, X, Z ), ! coll( X, Y, Z ),
% 123.61/124.06 midp( X, Y, Z ) }.
% 123.61/124.06 (144147) {G0,W9,D2,L2,V3,M2} { ! midp( X, Y, Z ), cong( X, Y, X, Z ) }.
% 123.61/124.06 (144148) {G0,W8,D2,L2,V3,M2} { ! midp( X, Y, Z ), coll( X, Y, Z ) }.
% 123.61/124.06 (144149) {G0,W17,D2,L3,V6,M3} { ! midp( U, X, Y ), ! midp( W, Z, T ),
% 123.61/124.06 eqratio( U, X, X, Y, W, Z, Z, T ) }.
% 123.61/124.06 (144150) {G0,W19,D2,L3,V4,M3} { ! eqangle( X, Y, Z, T, Z, T, X, Y ), para
% 123.61/124.06 ( X, Y, Z, T ), perp( X, Y, Z, T ) }.
% 123.61/124.06 (144151) {G0,W19,D2,L3,V4,M3} { ! eqangle( X, Y, Z, T, Z, T, X, Y ), perp
% 123.61/124.06 ( X, Y, Z, T ), para( X, Y, Z, T ) }.
% 123.61/124.06 (144152) {G0,W19,D2,L3,V8,M3} { ! eqangle( X, Y, Z, T, U, W, V0, V1 ), !
% 123.61/124.06 para( U, W, V0, V1 ), para( X, Y, Z, T ) }.
% 123.61/124.06 (144153) {G0,W19,D2,L3,V8,M3} { ! eqangle( X, Y, Z, T, U, W, V0, V1 ), !
% 123.61/124.06 perp( U, W, V0, V1 ), perp( X, Y, Z, T ) }.
% 123.61/124.06 (144154) {G0,W19,D2,L3,V8,M3} { ! eqratio( X, Y, Z, T, U, W, V0, V1 ), !
% 123.61/124.06 cong( U, W, V0, V1 ), cong( X, Y, Z, T ) }.
% 123.61/124.06 (144155) {G0,W22,D3,L3,V6,M3} { ! perp( Z, Y, Y, X ), ! eqangle( T, Z, Y,
% 123.61/124.06 Z, Y, Z, X, Z ), coll( skol1( U, W, Z, T ), Z, T ) }.
% 123.61/124.06 (144156) {G0,W22,D3,L3,V4,M3} { ! perp( Z, Y, Y, X ), ! eqangle( T, Z, Y,
% 123.61/124.06 Z, Y, Z, X, Z ), coll( skol1( X, Y, Z, T ), X, Y ) }.
% 123.61/124.06 (144157) {G0,W22,D3,L3,V6,M3} { ! cong( Z, X, Z, Y ), ! eqangle( X, Z, Z,
% 123.61/124.06 T, Z, T, Z, Y ), coll( skol2( U, W, Z, T ), Z, T ) }.
% 123.61/124.06 (144158) {G0,W22,D3,L3,V4,M3} { ! cong( Z, X, Z, Y ), ! eqangle( X, Z, Z,
% 123.61/124.06 T, Z, T, Z, Y ), coll( Y, X, skol2( X, Y, Z, T ) ) }.
% 123.61/124.06 (144159) {G0,W22,D3,L3,V6,M3} { ! perp( Z, T, X, Y ), ! eqangle( X, Z, Z,
% 123.61/124.06 T, Z, T, Z, Y ), coll( skol3( U, W, Z, T ), Z, T ) }.
% 123.61/124.06 (144160) {G0,W22,D3,L3,V4,M3} { ! perp( Z, T, X, Y ), ! eqangle( X, Z, Z,
% 123.61/124.06 T, Z, T, Z, Y ), coll( Y, X, skol3( X, Y, Z, T ) ) }.
% 123.61/124.06 (144161) {G0,W18,D3,L3,V6,M3} { ! perp( Z, T, X, Y ), ! cong( Z, X, Z, Y )
% 123.61/124.06 , coll( skol4( U, W, Z, T ), Z, T ) }.
% 123.61/124.06 (144162) {G0,W18,D3,L3,V4,M3} { ! perp( Z, T, X, Y ), ! cong( Z, X, Z, Y )
% 123.61/124.06 , coll( Y, X, skol4( X, Y, Z, T ) ) }.
% 123.61/124.06 (144163) {G0,W22,D3,L3,V6,M3} { ! eqangle( X, Z, Y, Z, X, T, Y, U ), coll
% 123.61/124.06 ( X, Y, Z ), cyclic( T, Y, Z, skol5( W, Y, Z, T ) ) }.
% 123.61/124.06 (144164) {G0,W30,D3,L3,V5,M3} { ! eqangle( X, Z, Y, Z, X, T, Y, U ), coll
% 123.61/124.06 ( X, Y, Z ), eqangle( X, Z, Y, Z, X, skol5( X, Y, Z, T ), Y, skol5( X, Y
% 123.61/124.06 , Z, T ) ) }.
% 123.61/124.06 (144165) {G0,W18,D3,L3,V10,M3} { ! midp( U, X, Y ), ! midp( W, Z, T ),
% 123.61/124.06 midp( skol6( X, V0, V1, T, V2, V3 ), X, T ) }.
% 123.61/124.06 (144166) {G0,W19,D3,L3,V8,M3} { ! midp( U, X, Y ), ! midp( W, Z, T ), para
% 123.61/124.06 ( skol6( X, V0, Z, T, V1, W ), W, X, Z ) }.
% 123.61/124.06 (144167) {G0,W19,D3,L3,V6,M3} { ! midp( U, X, Y ), ! midp( W, Z, T ), para
% 123.61/124.06 ( skol6( X, Y, Z, T, U, W ), U, Y, T ) }.
% 123.61/124.06 (144168) {G0,W22,D3,L5,V7,M5} { ! midp( Z, X, Y ), ! midp( W, T, U ), !
% 123.61/124.06 coll( T, X, Y ), ! coll( U, X, Y ), midp( skol7( X, V0 ), X, V0 ) }.
% 123.61/124.06 (144169) {G0,W26,D3,L5,V8,M5} { ! midp( T, X, U ), ! para( X, W, Z, T ), !
% 123.61/124.06 para( X, W, U, Y ), ! coll( W, Y, Z ), coll( skol8( V0, V1, Z, T ), T, Z
% 123.61/124.06 ) }.
% 123.61/124.06 (144170) {G0,W26,D3,L5,V6,M5} { ! midp( T, X, U ), ! para( X, W, Z, T ), !
% 123.61/124.06 para( X, W, U, Y ), ! coll( W, Y, Z ), coll( skol8( X, Y, Z, T ), X, Y )
% 123.61/124.06 }.
% 123.61/124.06 (144171) {G0,W19,D3,L3,V7,M3} { ! cong( T, Z, T, U ), ! perp( X, Y, Y, T )
% 123.61/124.06 , cong( T, Z, T, skol9( W, V0, Z, T ) ) }.
% 123.61/124.06 (144172) {G0,W19,D3,L3,V6,M3} { ! cong( T, Z, T, U ), ! perp( X, Y, Y, T )
% 123.61/124.06 , cong( Y, Z, Y, skol9( W, Y, Z, T ) ) }.
% 123.61/124.06 (144173) {G0,W19,D3,L3,V5,M3} { ! cong( T, Z, T, U ), ! perp( X, Y, Y, T )
% 123.61/124.06 , para( skol9( X, Y, Z, T ), Z, X, Y ) }.
% 123.61/124.06 (144174) {G0,W17,D3,L3,V5,M3} { ! perp( X, T, Y, Z ), ! perp( Y, T, X, Z )
% 123.61/124.06 , coll( skol10( U, Y, Z ), Z, Y ) }.
% 123.61/124.06 (144175) {G0,W18,D3,L3,V4,M3} { ! perp( X, T, Y, Z ), ! perp( Y, T, X, Z )
% 123.61/124.06 , perp( X, skol10( X, Y, Z ), Z, Y ) }.
% 123.61/124.06 (144176) {G0,W14,D2,L3,V4,M3} { ! perp( X, T, Y, Z ), ! perp( Y, T, X, Z )
% 123.61/124.06 , alpha1( X, Y, Z ) }.
% 123.61/124.06 (144177) {G0,W11,D3,L2,V4,M2} { ! alpha1( X, Y, Z ), coll( skol11( X, T, Z
% 123.61/124.06 ), Z, X ) }.
% 123.61/124.06 (144178) {G0,W12,D3,L2,V3,M2} { ! alpha1( X, Y, Z ), perp( Y, skol11( X, Y
% 123.61/124.06 , Z ), Z, X ) }.
% 123.61/124.06 (144179) {G0,W13,D2,L3,V4,M3} { ! coll( T, Z, X ), ! perp( Y, T, Z, X ),
% 123.61/124.06 alpha1( X, Y, Z ) }.
% 123.61/124.06 (144180) {G0,W12,D3,L2,V4,M2} { ! circle( Y, X, Z, T ), perp( skol12( X, Y
% 123.61/124.06 ), X, X, Y ) }.
% 123.61/124.06 (144181) {G0,W28,D3,L5,V8,M5} { ! circle( W, X, Y, Z ), ! cong( W, X, W, T
% 123.61/124.06 ), ! cong( U, X, U, Y ), W = U, alpha2( X, Z, U, skol13( X, V0, Z, V1, U
% 123.61/124.06 ) ) }.
% 123.61/124.06 (144182) {G0,W26,D3,L5,V8,M5} { ! circle( W, X, Y, Z ), ! cong( W, X, W, T
% 123.61/124.06 ), ! cong( U, X, U, Y ), W = U, coll( skol21( V0, Y, T, V1 ), Y, T ) }.
% 123.61/124.06 (144183) {G0,W27,D3,L5,V6,M5} { ! circle( W, X, Y, Z ), ! cong( W, X, W, T
% 123.61/124.06 ), ! cong( U, X, U, Y ), W = U, cong( skol21( X, Y, T, U ), U, U, X )
% 123.61/124.06 }.
% 123.61/124.06 (144184) {G0,W9,D2,L2,V4,M2} { ! alpha2( X, Y, Z, T ), coll( T, X, Y ) }.
% 123.61/124.06 (144185) {G0,W10,D2,L2,V4,M2} { ! alpha2( X, Y, Z, T ), cong( T, Z, Z, X )
% 123.61/124.06 }.
% 123.61/124.06 (144186) {G0,W14,D2,L3,V4,M3} { ! coll( T, X, Y ), ! cong( T, Z, Z, X ),
% 123.61/124.06 alpha2( X, Y, Z, T ) }.
% 123.61/124.06 (144187) {G0,W22,D3,L4,V5,M4} { ! cyclic( X, Y, Z, T ), ! para( X, Y, Z, T
% 123.61/124.06 ), ! midp( U, X, Y ), circle( skol14( X, Y, Z ), X, Y, Z ) }.
% 123.61/124.06 (144188) {G0,W18,D3,L3,V4,M3} { ! perp( X, Z, Z, Y ), ! cyclic( X, Y, Z, T
% 123.61/124.06 ), circle( skol15( X, Y, Z ), X, Y, Z ) }.
% 123.61/124.06 (144189) {G0,W16,D3,L3,V6,M3} { ! perp( X, U, U, T ), ! coll( T, Y, Z ),
% 123.61/124.06 coll( skol16( W, Y, Z ), Y, Z ) }.
% 123.61/124.06 (144190) {G0,W17,D3,L3,V5,M3} { ! perp( X, U, U, T ), ! coll( T, Y, Z ),
% 123.61/124.06 perp( skol16( X, Y, Z ), X, Y, Z ) }.
% 123.61/124.06 (144191) {G0,W20,D3,L4,V5,M4} { ! perp( X, Z, X, Y ), ! perp( Y, X, Y, T )
% 123.61/124.06 , ! midp( U, Z, T ), midp( skol17( X, Y ), X, Y ) }.
% 123.61/124.06 (144192) {G0,W16,D3,L3,V3,M3} { ! cong( Y, X, Y, Z ), ! perp( X, Y, Y, Z )
% 123.61/124.06 , coll( X, Y, skol18( X, Y ) ) }.
% 123.61/124.06 (144193) {G0,W17,D3,L3,V3,M3} { ! cong( Y, X, Y, Z ), ! perp( X, Y, Y, Z )
% 123.61/124.06 , cong( Y, X, Y, skol18( X, Y ) ) }.
% 123.61/124.06 (144194) {G0,W25,D3,L5,V8,M5} { ! para( U, W, X, Y ), ! coll( Z, U, X ), !
% 123.61/124.06 coll( Z, W, Y ), ! coll( T, U, W ), coll( Z, T, skol19( V0, V1, Z, T ) )
% 123.61/124.06 }.
% 123.61/124.06 (144195) {G0,W25,D3,L5,V6,M5} { ! para( U, W, X, Y ), ! coll( Z, U, X ), !
% 123.61/124.06 coll( Z, W, Y ), ! coll( T, U, W ), coll( skol19( X, Y, Z, T ), X, Y )
% 123.61/124.06 }.
% 123.61/124.06 (144196) {G0,W5,D2,L1,V0,M1} { perp( skol20, skol25, skol26, skol27 ) }.
% 123.61/124.06 (144197) {G0,W4,D2,L1,V0,M1} { coll( skol20, skol26, skol27 ) }.
% 123.61/124.06 (144198) {G0,W5,D2,L1,V0,M1} { perp( skol28, skol26, skol25, skol27 ) }.
% 123.61/124.06 (144199) {G0,W4,D2,L1,V0,M1} { coll( skol28, skol25, skol27 ) }.
% 123.61/124.06 (144200) {G0,W5,D2,L1,V0,M1} { perp( skol29, skol27, skol25, skol26 ) }.
% 123.61/124.06 (144201) {G0,W4,D2,L1,V0,M1} { coll( skol29, skol25, skol26 ) }.
% 123.61/124.06 (144202) {G0,W4,D2,L1,V0,M1} { coll( skol22, skol26, skol28 ) }.
% 123.61/124.06 (144203) {G0,W4,D2,L1,V0,M1} { coll( skol22, skol27, skol29 ) }.
% 123.61/124.06 (144204) {G0,W4,D2,L1,V0,M1} { midp( skol30, skol27, skol26 ) }.
% 123.61/124.06 (144205) {G0,W4,D2,L1,V0,M1} { midp( skol23, skol28, skol26 ) }.
% 123.61/124.06 (144206) {G0,W4,D2,L1,V0,M1} { midp( skol24, skol29, skol27 ) }.
% 123.61/124.06 (144207) {G0,W5,D2,L1,V0,M1} { ! cyclic( skol23, skol24, skol22, skol20 )
% 123.61/124.06 }.
% 123.61/124.06
% 123.61/124.06
% 123.61/124.06 Total Proof:
% 123.61/124.06
% 123.61/124.06 subsumption: (0) {G0,W8,D2,L2,V3,M2} I { ! coll( X, Y, Z ), coll( X, Z, Y )
% 123.61/124.06 }.
% 123.61/124.06 parent0: (144079) {G0,W8,D2,L2,V3,M2} { ! coll( X, Y, Z ), coll( X, Z, Y )
% 123.61/124.06 }.
% 123.61/124.06 substitution0:
% 123.61/124.06 X := X
% 123.61/124.06 Y := Y
% 123.61/124.06 Z := Z
% 123.61/124.06 end
% 123.61/124.06 permutation0:
% 123.61/124.06 0 ==> 0
% 123.61/124.06 1 ==> 1
% 123.61/124.06 end
% 123.61/124.06
% 123.61/124.06 subsumption: (1) {G0,W8,D2,L2,V3,M2} I { ! coll( X, Y, Z ), coll( Y, X, Z )
% 123.61/124.06 }.
% 123.61/124.06 parent0: (144080) {G0,W8,D2,L2,V3,M2} { ! coll( X, Y, Z ), coll( Y, X, Z )
% 123.61/124.06 }.
% 123.61/124.06 substitution0:
% 123.61/124.06 X := X
% 123.61/124.06 Y := Y
% 123.61/124.06 Z := Z
% 123.61/124.06 end
% 123.61/124.06 permutation0:
% 123.61/124.06 0 ==> 0
% 123.61/124.06 1 ==> 1
% 123.61/124.06 end
% 123.61/124.06
% 123.61/124.06 subsumption: (2) {G0,W12,D2,L3,V4,M3} I { ! coll( X, T, Y ), ! coll( X, T,
% 123.61/124.06 Z ), coll( Y, Z, X ) }.
% 123.61/124.06 parent0: (144081) {G0,W12,D2,L3,V4,M3} { ! coll( X, T, Y ), ! coll( X, T,
% 123.61/124.06 Z ), coll( Y, Z, X ) }.
% 123.61/124.06 substitution0:
% 123.61/124.06 X := X
% 123.61/124.06 Y := Y
% 123.61/124.06 Z := Z
% 123.61/124.06 T := T
% 123.61/124.06 end
% 123.61/124.06 permutation0:
% 123.61/124.06 0 ==> 0
% 123.61/124.06 1 ==> 1
% 123.61/124.06 2 ==> 2
% 123.61/124.06 end
% 123.61/124.06
% 123.61/124.06 subsumption: (3) {G0,W10,D2,L2,V4,M2} I { ! para( X, Y, Z, T ), para( X, Y
% 123.61/124.06 , T, Z ) }.
% 123.61/124.06 parent0: (144082) {G0,W10,D2,L2,V4,M2} { ! para( X, Y, Z, T ), para( X, Y
% 123.61/124.06 , T, Z ) }.
% 123.61/124.06 substitution0:
% 123.61/124.06 X := X
% 123.61/124.06 Y := Y
% 123.61/124.06 Z := Z
% 123.61/124.06 T := T
% 123.61/124.06 end
% 123.61/124.06 permutation0:
% 123.61/124.06 0 ==> 0
% 123.61/124.06 1 ==> 1
% 123.61/124.06 end
% 123.61/124.06
% 123.61/124.06 subsumption: (4) {G0,W10,D2,L2,V4,M2} I { ! para( X, Y, Z, T ), para( Z, T
% 123.61/124.06 , X, Y ) }.
% 123.61/124.06 parent0: (144083) {G0,W10,D2,L2,V4,M2} { ! para( X, Y, Z, T ), para( Z, T
% 123.61/124.06 , X, Y ) }.
% 123.61/124.06 substitution0:
% 123.61/124.06 X := X
% 123.61/124.06 Y := Y
% 123.61/124.06 Z := Z
% 123.61/124.06 T := T
% 123.61/124.06 end
% 123.61/124.06 permutation0:
% 123.61/124.06 0 ==> 0
% 123.61/124.06 1 ==> 1
% 123.61/124.06 end
% 123.61/124.06
% 123.61/124.06 subsumption: (6) {G0,W10,D2,L2,V4,M2} I { ! perp( X, Y, Z, T ), perp( X, Y
% 123.61/124.06 , T, Z ) }.
% 123.61/124.06 parent0: (144085) {G0,W10,D2,L2,V4,M2} { ! perp( X, Y, Z, T ), perp( X, Y
% 123.61/124.06 , T, Z ) }.
% 123.61/124.06 substitution0:
% 123.61/124.06 X := X
% 123.61/124.06 Y := Y
% 123.61/124.06 Z := Z
% 123.61/124.06 T := T
% 123.61/124.06 end
% 123.61/124.06 permutation0:
% 123.61/124.06 0 ==> 0
% 123.61/124.06 1 ==> 1
% 123.61/124.06 end
% 123.61/124.06
% 123.61/124.06 subsumption: (7) {G0,W10,D2,L2,V4,M2} I { ! perp( X, Y, Z, T ), perp( Z, T
% 123.61/124.06 , X, Y ) }.
% 123.61/124.06 parent0: (144086) {G0,W10,D2,L2,V4,M2} { ! perp( X, Y, Z, T ), perp( Z, T
% 123.61/124.06 , X, Y ) }.
% 123.61/124.06 substitution0:
% 123.61/124.06 X := X
% 123.61/124.06 Y := Y
% 123.61/124.06 Z := Z
% 123.61/124.06 T := T
% 123.61/124.06 end
% 123.61/124.06 permutation0:
% 123.61/124.06 0 ==> 0
% 123.61/124.06 1 ==> 1
% 123.61/124.06 end
% 123.61/124.06
% 123.61/124.06 subsumption: (8) {G0,W15,D2,L3,V6,M3} I { ! perp( X, Y, U, W ), ! perp( U,
% 123.61/124.06 W, Z, T ), para( X, Y, Z, T ) }.
% 123.61/124.06 parent0: (144087) {G0,W15,D2,L3,V6,M3} { ! perp( X, Y, U, W ), ! perp( U,
% 123.61/124.06 W, Z, T ), para( X, Y, Z, T ) }.
% 123.61/124.06 substitution0:
% 123.61/124.06 X := X
% 123.61/124.06 Y := Y
% 123.61/124.06 Z := Z
% 123.61/124.06 T := T
% 123.61/124.06 U := U
% 123.61/124.06 W := W
% 123.61/124.06 end
% 123.61/124.06 permutation0:
% 123.61/124.06 0 ==> 0
% 123.61/124.06 1 ==> 1
% 123.61/124.06 2 ==> 2
% 123.61/124.06 end
% 123.61/124.06
% 123.61/124.06 subsumption: (9) {G0,W15,D2,L3,V6,M3} I { ! para( X, Y, U, W ), ! perp( U,
% 123.61/124.06 W, Z, T ), perp( X, Y, Z, T ) }.
% 123.61/124.06 parent0: (144088) {G0,W15,D2,L3,V6,M3} { ! para( X, Y, U, W ), ! perp( U,
% 123.61/124.06 W, Z, T ), perp( X, Y, Z, T ) }.
% 123.61/124.06 substitution0:
% 123.61/124.06 X := X
% 123.61/124.06 Y := Y
% 123.61/124.06 Z := Z
% 123.61/124.06 T := T
% 123.61/124.06 U := U
% 123.61/124.06 W := W
% 123.61/124.06 end
% 123.61/124.06 permutation0:
% 123.61/124.06 0 ==> 0
% 123.61/124.06 1 ==> 1
% 123.61/124.06 2 ==> 2
% 123.61/124.06 end
% 123.61/124.06
% 123.61/124.06 subsumption: (10) {G0,W8,D2,L2,V3,M2} I { ! midp( Z, Y, X ), midp( Z, X, Y
% 123.61/124.06 ) }.
% 123.61/124.06 parent0: (144089) {G0,W8,D2,L2,V3,M2} { ! midp( Z, Y, X ), midp( Z, X, Y )
% 123.61/124.06 }.
% 123.61/124.06 substitution0:
% 123.61/124.06 X := X
% 123.61/124.06 Y := Y
% 123.61/124.06 Z := Z
% 123.61/124.06 end
% 123.61/124.06 permutation0:
% 123.61/124.06 0 ==> 0
% 123.61/124.06 1 ==> 1
% 123.61/124.06 end
% 123.61/124.06
% 123.61/124.06 subsumption: (11) {G0,W15,D2,L3,V4,M3} I { ! cong( T, X, T, Y ), ! cong( T
% 123.61/124.06 , X, T, Z ), circle( T, X, Y, Z ) }.
% 123.61/124.06 parent0: (144090) {G0,W15,D2,L3,V4,M3} { ! cong( T, X, T, Y ), ! cong( T,
% 123.61/124.06 X, T, Z ), circle( T, X, Y, Z ) }.
% 123.61/124.06 substitution0:
% 123.61/124.06 X := X
% 123.61/124.06 Y := Y
% 123.61/124.06 Z := Z
% 123.61/124.06 T := T
% 123.61/124.06 end
% 123.61/124.06 permutation0:
% 123.61/124.06 0 ==> 0
% 123.61/124.06 1 ==> 1
% 123.61/124.06 2 ==> 2
% 123.61/124.06 end
% 123.61/124.06
% 123.61/124.06 subsumption: (12) {G0,W20,D2,L4,V5,M4} I { ! cong( U, X, U, Y ), ! cong( U
% 123.61/124.06 , X, U, Z ), ! cong( U, X, U, T ), cyclic( X, Y, Z, T ) }.
% 123.61/124.06 parent0: (144091) {G0,W20,D2,L4,V5,M4} { ! cong( U, X, U, Y ), ! cong( U,
% 123.61/124.06 X, U, Z ), ! cong( U, X, U, T ), cyclic( X, Y, Z, T ) }.
% 123.61/124.06 substitution0:
% 123.61/124.06 X := X
% 123.61/124.06 Y := Y
% 123.61/124.06 Z := Z
% 123.61/124.06 T := T
% 123.61/124.06 U := U
% 123.61/124.06 end
% 123.61/124.06 permutation0:
% 123.61/124.06 0 ==> 0
% 123.61/124.06 1 ==> 1
% 123.61/124.06 2 ==> 2
% 123.61/124.06 3 ==> 3
% 123.61/124.06 end
% 123.61/124.06
% 123.61/124.06 subsumption: (13) {G0,W10,D2,L2,V4,M2} I { ! cyclic( X, Y, Z, T ), cyclic(
% 123.61/124.06 X, Y, T, Z ) }.
% 123.61/124.06 parent0: (144092) {G0,W10,D2,L2,V4,M2} { ! cyclic( X, Y, Z, T ), cyclic( X
% 123.61/124.06 , Y, T, Z ) }.
% 123.61/124.06 substitution0:
% 123.61/124.06 X := X
% 123.61/124.06 Y := Y
% 123.61/124.06 Z := Z
% 123.61/124.06 T := T
% 123.61/124.06 end
% 123.61/124.06 permutation0:
% 123.61/124.06 0 ==> 0
% 123.61/124.06 1 ==> 1
% 123.61/124.06 end
% 123.61/124.06
% 123.61/124.06 subsumption: (14) {G0,W10,D2,L2,V4,M2} I { ! cyclic( X, Y, Z, T ), cyclic(
% 123.61/124.06 X, Z, Y, T ) }.
% 123.61/124.06 parent0: (144093) {G0,W10,D2,L2,V4,M2} { ! cyclic( X, Y, Z, T ), cyclic( X
% 123.61/124.06 , Z, Y, T ) }.
% 123.61/124.06 substitution0:
% 123.61/124.06 X := X
% 123.61/124.06 Y := Y
% 123.61/124.06 Z := Z
% 123.61/124.06 T := T
% 123.61/124.06 end
% 123.61/124.06 permutation0:
% 123.61/124.06 0 ==> 0
% 123.61/124.06 1 ==> 1
% 123.61/124.06 end
% 123.61/124.06
% 123.61/124.06 subsumption: (15) {G0,W10,D2,L2,V4,M2} I { ! cyclic( X, Y, Z, T ), cyclic(
% 123.61/124.06 Y, X, Z, T ) }.
% 123.61/124.06 parent0: (144094) {G0,W10,D2,L2,V4,M2} { ! cyclic( X, Y, Z, T ), cyclic( Y
% 123.61/124.06 , X, Z, T ) }.
% 123.61/124.06 substitution0:
% 123.61/124.06 X := X
% 123.61/124.06 Y := Y
% 123.61/124.06 Z := Z
% 123.61/124.06 T := T
% 123.61/124.06 end
% 123.61/124.06 permutation0:
% 123.61/124.06 0 ==> 0
% 123.61/124.06 1 ==> 1
% 123.61/124.06 end
% 123.61/124.06
% 123.61/124.06 subsumption: (16) {G0,W15,D2,L3,V5,M3} I { ! cyclic( U, X, Y, Z ), ! cyclic
% 123.61/124.06 ( U, X, Y, T ), cyclic( X, Y, Z, T ) }.
% 123.61/124.06 parent0: (144095) {G0,W15,D2,L3,V5,M3} { ! cyclic( U, X, Y, Z ), ! cyclic
% 123.61/124.06 ( U, X, Y, T ), cyclic( X, Y, Z, T ) }.
% 123.61/124.06 substitution0:
% 123.61/124.06 X := X
% 123.61/124.06 Y := Y
% 123.61/124.06 Z := Z
% 123.61/124.06 T := T
% 123.61/124.06 U := U
% 123.61/124.06 end
% 123.61/124.06 permutation0:
% 123.61/124.06 0 ==> 0
% 123.61/124.06 1 ==> 1
% 123.61/124.06 2 ==> 2
% 123.61/124.06 end
% 123.61/124.06
% 123.61/124.06 subsumption: (22) {G0,W10,D2,L2,V4,M2} I { ! cong( X, Y, Z, T ), cong( X, Y
% 123.61/124.06 , T, Z ) }.
% 123.61/124.06 parent0: (144101) {G0,W10,D2,L2,V4,M2} { ! cong( X, Y, Z, T ), cong( X, Y
% 123.61/124.06 , T, Z ) }.
% 123.61/124.06 substitution0:
% 123.61/124.06 X := X
% 123.61/124.06 Y := Y
% 123.61/124.06 Z := Z
% 123.61/124.06 T := T
% 123.61/124.06 end
% 123.61/124.06 permutation0:
% 123.61/124.06 0 ==> 0
% 123.61/124.06 1 ==> 1
% 123.61/124.06 end
% 123.61/124.06
% 123.61/124.06 subsumption: (23) {G0,W10,D2,L2,V4,M2} I { ! cong( X, Y, Z, T ), cong( Z, T
% 123.61/124.06 , X, Y ) }.
% 123.61/124.06 parent0: (144102) {G0,W10,D2,L2,V4,M2} { ! cong( X, Y, Z, T ), cong( Z, T
% 123.61/124.06 , X, Y ) }.
% 123.61/124.06 substitution0:
% 123.61/124.06 X := X
% 123.61/124.06 Y := Y
% 123.61/124.06 Z := Z
% 123.61/124.06 T := T
% 123.61/124.06 end
% 123.61/124.06 permutation0:
% 123.61/124.06 0 ==> 0
% 123.61/124.06 1 ==> 1
% 123.61/124.06 end
% 123.61/124.06
% 123.61/124.06 subsumption: (24) {G0,W15,D2,L3,V6,M3} I { ! cong( X, Y, U, W ), ! cong( U
% 123.61/124.06 , W, Z, T ), cong( X, Y, Z, T ) }.
% 123.61/124.06 parent0: (144103) {G0,W15,D2,L3,V6,M3} { ! cong( X, Y, U, W ), ! cong( U,
% 123.61/124.06 W, Z, T ), cong( X, Y, Z, T ) }.
% 123.61/124.06 substitution0:
% 123.61/124.06 X := X
% 123.61/124.06 Y := Y
% 123.61/124.06 Z := Z
% 123.61/124.06 T := T
% 123.61/124.06 U := U
% 123.61/124.06 W := W
% 123.61/124.06 end
% 123.61/124.06 permutation0:
% 123.61/124.06 0 ==> 0
% 123.61/124.06 1 ==> 1
% 123.61/124.06 2 ==> 2
% 123.61/124.06 end
% 123.61/124.06
% 123.61/124.06 subsumption: (39) {G0,W14,D2,L2,V6,M2} I { ! para( X, Y, Z, T ), eqangle( X
% 123.61/124.06 , Y, U, W, Z, T, U, W ) }.
% 123.61/124.06 parent0: (144118) {G0,W14,D2,L2,V6,M2} { ! para( X, Y, Z, T ), eqangle( X
% 123.61/124.06 , Y, U, W, Z, T, U, W ) }.
% 123.61/124.06 substitution0:
% 123.61/124.06 X := X
% 123.61/124.06 Y := Y
% 123.61/124.06 Z := Z
% 123.61/124.06 T := T
% 123.61/124.06 U := U
% 123.61/124.06 W := W
% 123.61/124.06 end
% 123.61/124.06 permutation0:
% 123.61/124.06 0 ==> 0
% 123.61/124.06 1 ==> 1
% 123.61/124.06 end
% 123.61/124.06
% 123.61/124.06 subsumption: (43) {G0,W29,D2,L5,V6,M5} I { ! cyclic( X, Y, U, Z ), ! cyclic
% 123.61/124.06 ( X, Y, U, T ), ! cyclic( X, Y, U, W ), ! eqangle( U, X, U, Y, W, Z, W, T
% 123.61/124.06 ), cong( X, Y, Z, T ) }.
% 123.61/124.06 parent0: (144122) {G0,W29,D2,L5,V6,M5} { ! cyclic( X, Y, U, Z ), ! cyclic
% 123.61/124.06 ( X, Y, U, T ), ! cyclic( X, Y, U, W ), ! eqangle( U, X, U, Y, W, Z, W, T
% 123.61/124.06 ), cong( X, Y, Z, T ) }.
% 123.61/124.06 substitution0:
% 123.61/124.06 X := X
% 123.61/124.06 Y := Y
% 123.61/124.06 Z := Z
% 123.61/124.06 T := T
% 123.61/124.06 U := U
% 123.61/124.06 W := W
% 123.61/124.06 end
% 123.61/124.06 permutation0:
% 123.61/124.06 0 ==> 0
% 123.61/124.06 1 ==> 1
% 123.61/124.06 2 ==> 2
% 123.61/124.06 3 ==> 3
% 123.61/124.06 4 ==> 4
% 123.61/124.06 end
% 123.61/124.06
% 123.61/124.06 subsumption: (45) {G0,W17,D2,L4,V5,M4} I { ! midp( U, X, T ), ! para( U, Z
% 123.61/124.06 , T, Y ), ! coll( Z, X, Y ), midp( Z, X, Y ) }.
% 123.61/124.06 parent0: (144124) {G0,W17,D2,L4,V5,M4} { ! midp( U, X, T ), ! para( U, Z,
% 123.61/124.06 T, Y ), ! coll( Z, X, Y ), midp( Z, X, Y ) }.
% 123.61/124.06 substitution0:
% 123.61/124.06 X := X
% 123.61/124.06 Y := Y
% 123.61/124.06 Z := Z
% 123.61/124.06 T := T
% 123.61/124.06 U := U
% 123.61/124.06 end
% 123.61/124.06 permutation0:
% 123.61/124.06 0 ==> 0
% 123.61/124.06 1 ==> 1
% 123.61/124.06 2 ==> 2
% 123.61/124.06 3 ==> 3
% 123.61/124.06 end
% 123.61/124.06
% 123.61/124.06 subsumption: (46) {G0,W14,D2,L2,V3,M2} I { ! cong( Z, X, Z, Y ), eqangle( Z
% 123.61/124.06 , X, X, Y, X, Y, Z, Y ) }.
% 123.61/124.06 parent0: (144125) {G0,W14,D2,L2,V3,M2} { ! cong( Z, X, Z, Y ), eqangle( Z
% 123.61/124.06 , X, X, Y, X, Y, Z, Y ) }.
% 123.61/124.06 substitution0:
% 123.61/124.06 X := X
% 123.61/124.06 Y := Y
% 123.61/124.06 Z := Z
% 123.61/124.06 end
% 123.61/124.06 permutation0:
% 123.61/124.06 0 ==> 0
% 123.61/124.06 1 ==> 1
% 123.61/124.06 end
% 123.61/124.06
% 123.61/124.06 subsumption: (53) {G0,W14,D2,L3,V4,M3} I { ! circle( T, X, Y, Z ), ! coll(
% 123.61/124.06 T, X, Z ), perp( X, Y, Y, Z ) }.
% 123.61/124.06 parent0: (144132) {G0,W14,D2,L3,V4,M3} { ! circle( T, X, Y, Z ), ! coll( T
% 123.61/124.06 , X, Z ), perp( X, Y, Y, Z ) }.
% 123.61/124.06 substitution0:
% 123.61/124.06 X := X
% 123.61/124.06 Y := Y
% 123.61/124.06 Z := Z
% 123.61/124.06 T := T
% 123.61/124.06 end
% 123.61/124.06 permutation0:
% 123.61/124.06 0 ==> 0
% 123.61/124.06 1 ==> 1
% 123.61/124.06 2 ==> 2
% 123.61/124.06 end
% 123.61/124.06
% 123.61/124.06 subsumption: (55) {G0,W14,D2,L3,V4,M3} I { ! midp( T, X, Y ), ! perp( Z, T
% 123.61/124.06 , X, Y ), cong( Z, X, Z, Y ) }.
% 123.61/124.06 parent0: (144134) {G0,W14,D2,L3,V4,M3} { ! midp( T, X, Y ), ! perp( Z, T,
% 123.61/124.06 X, Y ), cong( Z, X, Z, Y ) }.
% 123.61/124.06 substitution0:
% 123.61/124.06 X := X
% 123.61/124.06 Y := Y
% 123.61/124.06 Z := Z
% 123.61/124.06 T := T
% 123.61/124.06 end
% 123.61/124.06 permutation0:
% 123.61/124.06 0 ==> 0
% 123.61/124.06 1 ==> 1
% 123.61/124.06 2 ==> 2
% 123.61/124.06 end
% 123.61/124.06
% 123.61/124.06 subsumption: (56) {G0,W15,D2,L3,V4,M3} I { ! cong( X, Z, Y, Z ), ! cong( X
% 123.61/124.06 , T, Y, T ), perp( X, Y, Z, T ) }.
% 123.61/124.06 parent0: (144135) {G0,W15,D2,L3,V4,M3} { ! cong( X, Z, Y, Z ), ! cong( X,
% 123.61/124.06 T, Y, T ), perp( X, Y, Z, T ) }.
% 123.61/124.06 substitution0:
% 123.61/124.06 X := X
% 123.61/124.06 Y := Y
% 123.61/124.06 Z := Z
% 123.61/124.06 T := T
% 123.61/124.06 end
% 123.61/124.06 permutation0:
% 123.61/124.06 0 ==> 0
% 123.61/124.06 1 ==> 1
% 123.61/124.06 2 ==> 2
% 123.61/124.06 end
% 123.61/124.06
% 123.61/124.06 subsumption: (63) {G0,W13,D2,L3,V5,M3} I { ! midp( U, X, Y ), ! midp( U, Z
% 123.61/124.06 , T ), para( X, Z, Y, T ) }.
% 123.61/124.06 parent0: (144142) {G0,W13,D2,L3,V5,M3} { ! midp( U, X, Y ), ! midp( U, Z,
% 123.61/124.06 T ), para( X, Z, Y, T ) }.
% 123.61/124.06 substitution0:
% 123.61/124.06 X := X
% 123.61/124.06 Y := Y
% 123.61/124.06 Z := Z
% 123.61/124.06 T := T
% 123.61/124.06 U := U
% 123.61/124.06 end
% 123.61/124.06 permutation0:
% 123.61/124.06 0 ==> 0
% 123.61/124.06 1 ==> 1
% 123.61/124.06 2 ==> 2
% 123.61/124.06 end
% 123.61/124.06
% 123.61/124.06 subsumption: (64) {G0,W18,D2,L4,V5,M4} I { ! midp( Z, T, U ), ! para( T, X
% 123.61/124.06 , U, Y ), ! para( T, Y, U, X ), midp( Z, X, Y ) }.
% 123.61/124.06 parent0: (144143) {G0,W18,D2,L4,V5,M4} { ! midp( Z, T, U ), ! para( T, X,
% 123.61/124.06 U, Y ), ! para( T, Y, U, X ), midp( Z, X, Y ) }.
% 123.61/124.06 substitution0:
% 123.61/124.06 X := X
% 123.61/124.06 Y := Y
% 123.61/124.06 Z := Z
% 123.61/124.06 T := T
% 123.61/124.06 U := U
% 123.61/124.06 end
% 123.61/124.06 permutation0:
% 123.61/124.06 0 ==> 0
% 123.61/124.06 1 ==> 1
% 123.61/124.06 2 ==> 2
% 123.61/124.06 3 ==> 3
% 123.61/124.06 end
% 123.61/124.06
% 123.61/124.06 subsumption: (68) {G0,W9,D2,L2,V3,M2} I { ! midp( X, Y, Z ), cong( X, Y, X
% 123.61/124.06 , Z ) }.
% 123.61/124.06 parent0: (144147) {G0,W9,D2,L2,V3,M2} { ! midp( X, Y, Z ), cong( X, Y, X,
% 123.61/124.06 Z ) }.
% 123.61/124.06 substitution0:
% 123.61/124.06 X := X
% 123.61/124.06 Y := Y
% 123.61/124.06 Z := Z
% 123.61/124.06 end
% 123.61/124.06 permutation0:
% 123.61/124.06 0 ==> 0
% 123.61/124.06 1 ==> 1
% 123.61/124.06 end
% 123.61/124.06
% 123.61/124.06 subsumption: (69) {G0,W8,D2,L2,V3,M2} I { ! midp( X, Y, Z ), coll( X, Y, Z
% 123.61/124.06 ) }.
% 123.61/124.06 parent0: (144148) {G0,W8,D2,L2,V3,M2} { ! midp( X, Y, Z ), coll( X, Y, Z )
% 123.61/124.06 }.
% 123.61/124.06 substitution0:
% 123.61/124.06 X := X
% 123.61/124.06 Y := Y
% 123.61/124.06 Z := Z
% 123.61/124.06 end
% 123.61/124.06 permutation0:
% 123.61/124.06 0 ==> 0
% 123.61/124.06 1 ==> 1
% 123.61/124.06 end
% 123.61/124.06
% 123.61/124.06 subsumption: (73) {G0,W19,D2,L3,V8,M3} I { ! eqangle( X, Y, Z, T, U, W, V0
% 123.61/124.06 , V1 ), ! perp( U, W, V0, V1 ), perp( X, Y, Z, T ) }.
% 123.61/124.06 parent0: (144153) {G0,W19,D2,L3,V8,M3} { ! eqangle( X, Y, Z, T, U, W, V0,
% 123.61/124.06 V1 ), ! perp( U, W, V0, V1 ), perp( X, Y, Z, T ) }.
% 123.61/124.06 substitution0:
% 123.61/124.06 X := X
% 123.61/124.06 Y := Y
% 123.61/124.06 Z := Z
% 123.61/124.06 T := T
% 123.61/124.06 U := U
% 123.61/124.06 W := W
% 123.61/124.06 V0 := V0
% 123.61/124.06 V1 := V1
% 123.61/124.06 end
% 123.61/124.06 permutation0:
% 123.61/124.06 0 ==> 0
% 123.61/124.06 1 ==> 1
% 123.61/124.06 2 ==> 2
% 123.61/124.06 end
% 123.61/124.06
% 123.61/124.06 subsumption: (88) {G0,W22,D3,L5,V7,M5} I { ! midp( Z, X, Y ), ! midp( W, T
% 123.61/124.06 , U ), ! coll( T, X, Y ), ! coll( U, X, Y ), midp( skol7( X, V0 ), X, V0
% 123.61/124.06 ) }.
% 123.61/124.06 parent0: (144168) {G0,W22,D3,L5,V7,M5} { ! midp( Z, X, Y ), ! midp( W, T,
% 123.61/124.06 U ), ! coll( T, X, Y ), ! coll( U, X, Y ), midp( skol7( X, V0 ), X, V0 )
% 123.61/124.06 }.
% 123.61/124.06 substitution0:
% 123.61/124.06 X := X
% 123.61/124.06 Y := Y
% 123.61/124.06 Z := Z
% 123.61/124.06 T := T
% 123.61/124.06 U := U
% 123.61/124.06 W := W
% 123.61/124.06 V0 := V0
% 123.61/124.06 end
% 123.61/124.06 permutation0:
% 123.61/124.06 0 ==> 0
% 123.61/124.06 1 ==> 1
% 123.61/124.06 2 ==> 2
% 123.61/124.06 3 ==> 3
% 123.61/124.06 4 ==> 4
% 123.61/124.06 end
% 123.61/124.06
% 123.61/124.06 subsumption: (116) {G0,W5,D2,L1,V0,M1} I { perp( skol20, skol25, skol26,
% 123.61/124.06 skol27 ) }.
% 123.61/124.06 parent0: (144196) {G0,W5,D2,L1,V0,M1} { perp( skol20, skol25, skol26,
% 123.61/124.06 skol27 ) }.
% 123.61/124.06 substitution0:
% 123.61/124.06 end
% 123.61/124.06 permutation0:
% 123.61/124.06 0 ==> 0
% 123.61/124.06 end
% 123.61/124.06
% 123.61/124.06 subsumption: (118) {G0,W5,D2,L1,V0,M1} I { perp( skol28, skol26, skol25,
% 123.61/124.06 skol27 ) }.
% 123.61/124.06 parent0: (144198) {G0,W5,D2,L1,V0,M1} { perp( skol28, skol26, skol25,
% 123.61/124.06 skol27 ) }.
% 123.61/124.06 substitution0:
% 123.61/124.06 end
% 123.61/124.06 permutation0:
% 123.61/124.06 0 ==> 0
% 123.61/124.06 end
% 123.61/124.06
% 123.61/124.06 subsumption: (120) {G0,W5,D2,L1,V0,M1} I { perp( skol29, skol27, skol25,
% 123.61/124.06 skol26 ) }.
% 123.61/124.06 parent0: (144200) {G0,W5,D2,L1,V0,M1} { perp( skol29, skol27, skol25,
% 123.61/124.06 skol26 ) }.
% 123.61/124.06 substitution0:
% 123.61/124.06 end
% 123.61/124.06 permutation0:
% 123.61/124.06 0 ==> 0
% 123.61/124.06 end
% 123.61/124.06
% 123.61/124.06 subsumption: (123) {G0,W4,D2,L1,V0,M1} I { coll( skol22, skol27, skol29 )
% 123.61/124.06 }.
% 123.61/124.06 parent0: (144203) {G0,W4,D2,L1,V0,M1} { coll( skol22, skol27, skol29 ) }.
% 123.61/124.06 substitution0:
% 123.61/124.06 end
% 123.61/124.06 permutation0:
% 123.61/124.06 0 ==> 0
% 123.61/124.06 end
% 123.61/124.06
% 123.61/124.06 subsumption: (124) {G0,W4,D2,L1,V0,M1} I { midp( skol30, skol27, skol26 )
% 123.61/124.06 }.
% 123.61/124.06 parent0: (144204) {G0,W4,D2,L1,V0,M1} { midp( skol30, skol27, skol26 ) }.
% 123.61/124.06 substitution0:
% 123.61/124.06 end
% 123.61/124.06 permutation0:
% 123.61/124.06 0 ==> 0
% 123.61/124.06 end
% 123.61/124.06
% 123.61/124.06 subsumption: (126) {G0,W4,D2,L1,V0,M1} I { midp( skol24, skol29, skol27 )
% 123.61/124.06 }.
% 123.61/124.06 parent0: (144206) {G0,W4,D2,L1,V0,M1} { midp( skol24, skol29, skol27 ) }.
% 123.61/124.06 substitution0:
% 123.61/124.06 end
% 123.61/124.06 permutation0:
% 123.61/124.06 0 ==> 0
% 123.61/124.06 end
% 123.61/124.06
% 123.61/124.06 subsumption: (127) {G0,W5,D2,L1,V0,M1} I { ! cyclic( skol23, skol24, skol22
% 123.61/124.06 , skol20 ) }.
% 123.61/124.06 parent0: (144207) {G0,W5,D2,L1,V0,M1} { ! cyclic( skol23, skol24, skol22,
% 123.61/124.06 skol20 ) }.
% 123.61/124.06 substitution0:
% 123.61/124.06 end
% 123.61/124.06 permutation0:
% 123.61/124.06 0 ==> 0
% 123.61/124.06 end
% 123.61/124.06
% 123.61/124.06 factor: (144947) {G0,W10,D2,L2,V3,M2} { ! cong( X, Y, X, Z ), circle( X, Y
% 123.61/124.06 , Z, Z ) }.
% 123.61/124.06 parent0[0, 1]: (11) {G0,W15,D2,L3,V4,M3} I { ! cong( T, X, T, Y ), ! cong(
% 123.61/124.06 T, X, T, Z ), circle( T, X, Y, Z ) }.
% 123.61/124.06 substitution0:
% 123.61/124.06 X := Y
% 123.61/124.06 Y := Z
% 123.61/124.06 Z := Z
% 123.61/124.06 T := X
% 123.61/124.06 end
% 123.61/124.06
% 123.61/124.06 subsumption: (130) {G1,W10,D2,L2,V3,M2} F(11) { ! cong( X, Y, X, Z ),
% 123.61/124.06 circle( X, Y, Z, Z ) }.
% 123.61/124.06 parent0: (144947) {G0,W10,D2,L2,V3,M2} { ! cong( X, Y, X, Z ), circle( X,
% 123.61/124.06 Y, Z, Z ) }.
% 123.61/124.06 substitution0:
% 123.61/124.06 X := X
% 123.61/124.06 Y := Y
% 123.61/124.06 Z := Z
% 123.61/124.06 end
% 123.61/124.06 permutation0:
% 123.61/124.06 0 ==> 0
% 123.61/124.06 1 ==> 1
% 123.61/124.06 end
% 123.61/124.06
% 123.61/124.06 factor: (144950) {G0,W15,D2,L3,V4,M3} { ! cong( X, Y, X, Z ), ! cong( X, Y
% 123.61/124.06 , X, T ), cyclic( Y, Z, T, T ) }.
% 123.61/124.06 parent0[1, 2]: (12) {G0,W20,D2,L4,V5,M4} I { ! cong( U, X, U, Y ), ! cong(
% 123.61/124.06 U, X, U, Z ), ! cong( U, X, U, T ), cyclic( X, Y, Z, T ) }.
% 123.61/124.06 substitution0:
% 123.61/124.06 X := Y
% 123.61/124.06 Y := Z
% 123.61/124.06 Z := T
% 123.61/124.06 T := T
% 123.61/124.06 U := X
% 123.61/124.06 end
% 123.61/124.06
% 123.61/124.06 subsumption: (133) {G1,W15,D2,L3,V4,M3} F(12) { ! cong( X, Y, X, Z ), !
% 123.61/124.06 cong( X, Y, X, T ), cyclic( Y, Z, T, T ) }.
% 123.61/124.06 parent0: (144950) {G0,W15,D2,L3,V4,M3} { ! cong( X, Y, X, Z ), ! cong( X,
% 123.61/124.06 Y, X, T ), cyclic( Y, Z, T, T ) }.
% 123.61/124.06 substitution0:
% 123.61/124.06 X := X
% 123.61/124.06 Y := Y
% 123.61/124.06 Z := Z
% 123.61/124.06 T := T
% 123.61/124.06 end
% 123.61/124.06 permutation0:
% 123.61/124.06 0 ==> 0
% 123.61/124.06 1 ==> 1
% 123.61/124.06 2 ==> 2
% 123.61/124.06 end
% 123.61/124.06
% 123.61/124.06 factor: (144952) {G1,W10,D2,L2,V3,M2} { ! cong( X, Y, X, Z ), cyclic( Y, Z
% 123.61/124.06 , Z, Z ) }.
% 123.61/124.06 parent0[0, 1]: (133) {G1,W15,D2,L3,V4,M3} F(12) { ! cong( X, Y, X, Z ), !
% 123.61/124.06 cong( X, Y, X, T ), cyclic( Y, Z, T, T ) }.
% 123.61/124.06 substitution0:
% 123.61/124.06 X := X
% 123.61/124.06 Y := Y
% 123.61/124.06 Z := Z
% 123.61/124.06 T := Z
% 123.61/124.06 end
% 123.61/124.06
% 123.61/124.06 subsumption: (134) {G2,W10,D2,L2,V3,M2} F(133) { ! cong( X, Y, X, Z ),
% 123.61/124.06 cyclic( Y, Z, Z, Z ) }.
% 123.61/124.06 parent0: (144952) {G1,W10,D2,L2,V3,M2} { ! cong( X, Y, X, Z ), cyclic( Y,
% 123.61/124.06 Z, Z, Z ) }.
% 123.61/124.06 substitution0:
% 123.61/124.06 X := X
% 123.61/124.06 Y := Y
% 123.61/124.06 Z := Z
% 123.61/124.06 end
% 123.61/124.06 permutation0:
% 123.61/124.06 0 ==> 0
% 123.61/124.06 1 ==> 1
% 123.61/124.06 end
% 123.61/124.06
% 123.61/124.06 factor: (144953) {G0,W13,D2,L3,V4,M3} { ! midp( X, Y, Z ), ! para( Y, T, Z
% 123.61/124.06 , T ), midp( X, T, T ) }.
% 123.61/124.06 parent0[1, 2]: (64) {G0,W18,D2,L4,V5,M4} I { ! midp( Z, T, U ), ! para( T,
% 123.61/124.06 X, U, Y ), ! para( T, Y, U, X ), midp( Z, X, Y ) }.
% 123.61/124.06 substitution0:
% 123.61/124.06 X := T
% 123.61/124.06 Y := T
% 123.61/124.06 Z := X
% 123.61/124.06 T := Y
% 123.61/124.06 U := Z
% 123.61/124.06 end
% 123.61/124.06
% 123.61/124.06 subsumption: (144) {G1,W13,D2,L3,V4,M3} F(64) { ! midp( X, Y, Z ), ! para(
% 123.61/124.06 Y, T, Z, T ), midp( X, T, T ) }.
% 123.61/124.06 parent0: (144953) {G0,W13,D2,L3,V4,M3} { ! midp( X, Y, Z ), ! para( Y, T,
% 123.61/124.06 Z, T ), midp( X, T, T ) }.
% 123.61/124.06 substitution0:
% 123.61/124.06 X := X
% 123.61/124.06 Y := Y
% 123.61/124.06 Z := Z
% 123.61/124.06 T := T
% 123.61/124.06 end
% 123.61/124.06 permutation0:
% 123.61/124.06 0 ==> 0
% 123.61/124.06 1 ==> 1
% 123.61/124.06 2 ==> 2
% 123.61/124.06 end
% 123.61/124.06
% 123.61/124.06 factor: (144954) {G0,W18,D3,L4,V4,M4} { ! midp( X, Y, Z ), ! coll( Y, Y, Z
% 123.61/124.06 ), ! coll( Z, Y, Z ), midp( skol7( Y, T ), Y, T ) }.
% 123.61/124.06 parent0[0, 1]: (88) {G0,W22,D3,L5,V7,M5} I { ! midp( Z, X, Y ), ! midp( W,
% 123.61/124.06 T, U ), ! coll( T, X, Y ), ! coll( U, X, Y ), midp( skol7( X, V0 ), X, V0
% 123.61/124.06 ) }.
% 123.61/124.06 substitution0:
% 123.61/124.06 X := Y
% 123.61/124.06 Y := Z
% 123.61/124.06 Z := X
% 123.61/124.06 T := Y
% 123.61/124.06 U := Z
% 123.61/124.06 W := X
% 123.61/124.06 V0 := T
% 123.61/124.06 end
% 123.61/124.07
% 123.61/124.07 subsumption: (150) {G1,W18,D3,L4,V4,M4} F(88) { ! midp( X, Y, Z ), ! coll(
% 123.61/124.07 Y, Y, Z ), ! coll( Z, Y, Z ), midp( skol7( Y, T ), Y, T ) }.
% 123.61/124.07 parent0: (144954) {G0,W18,D3,L4,V4,M4} { ! midp( X, Y, Z ), ! coll( Y, Y,
% 123.61/124.07 Z ), ! coll( Z, Y, Z ), midp( skol7( Y, T ), Y, T ) }.
% 123.61/124.07 substitution0:
% 123.61/124.07 X := X
% 123.61/124.07 Y := Y
% 123.61/124.07 Z := Z
% 123.61/124.07 T := T
% 123.61/124.07 end
% 123.61/124.07 permutation0:
% 123.61/124.07 0 ==> 0
% 123.61/124.07 1 ==> 1
% 123.61/124.07 2 ==> 2
% 123.61/124.07 3 ==> 3
% 123.61/124.07 end
% 123.61/124.07
% 123.61/124.07 resolution: (144957) {G1,W4,D2,L1,V0,M1} { coll( skol22, skol29, skol27 )
% 123.61/124.07 }.
% 123.61/124.07 parent0[0]: (0) {G0,W8,D2,L2,V3,M2} I { ! coll( X, Y, Z ), coll( X, Z, Y )
% 123.61/124.07 }.
% 123.61/124.07 parent1[0]: (123) {G0,W4,D2,L1,V0,M1} I { coll( skol22, skol27, skol29 )
% 123.61/124.07 }.
% 123.61/124.07 substitution0:
% 123.61/124.07 X := skol22
% 123.61/124.07 Y := skol27
% 123.61/124.07 Z := skol29
% 123.61/124.07 end
% 123.61/124.07 substitution1:
% 123.61/124.07 end
% 123.61/124.07
% 123.61/124.07 subsumption: (166) {G1,W4,D2,L1,V0,M1} R(0,123) { coll( skol22, skol29,
% 123.61/124.07 skol27 ) }.
% 123.61/124.07 parent0: (144957) {G1,W4,D2,L1,V0,M1} { coll( skol22, skol29, skol27 ) }.
% 123.61/124.07 substitution0:
% 123.61/124.07 end
% 123.61/124.07 permutation0:
% 123.61/124.07 0 ==> 0
% 123.61/124.07 end
% 123.61/124.07
% 123.61/124.07 resolution: (144958) {G1,W4,D2,L1,V0,M1} { coll( skol29, skol22, skol27 )
% 123.61/124.07 }.
% 123.61/124.07 parent0[0]: (1) {G0,W8,D2,L2,V3,M2} I { ! coll( X, Y, Z ), coll( Y, X, Z )
% 123.61/124.07 }.
% 123.61/124.07 parent1[0]: (166) {G1,W4,D2,L1,V0,M1} R(0,123) { coll( skol22, skol29,
% 123.61/124.07 skol27 ) }.
% 123.61/124.07 substitution0:
% 123.61/124.07 X := skol22
% 123.61/124.07 Y := skol29
% 123.61/124.07 Z := skol27
% 123.61/124.07 end
% 123.61/124.07 substitution1:
% 123.61/124.07 end
% 123.61/124.07
% 123.61/124.07 subsumption: (170) {G2,W4,D2,L1,V0,M1} R(1,166) { coll( skol29, skol22,
% 123.61/124.07 skol27 ) }.
% 123.61/124.07 parent0: (144958) {G1,W4,D2,L1,V0,M1} { coll( skol29, skol22, skol27 ) }.
% 123.61/124.07 substitution0:
% 123.61/124.07 end
% 123.61/124.07 permutation0:
% 123.61/124.07 0 ==> 0
% 123.61/124.07 end
% 123.61/124.07
% 123.61/124.07 resolution: (144959) {G1,W4,D2,L1,V0,M1} { coll( skol27, skol22, skol29 )
% 123.61/124.07 }.
% 123.61/124.07 parent0[0]: (1) {G0,W8,D2,L2,V3,M2} I { ! coll( X, Y, Z ), coll( Y, X, Z )
% 123.61/124.07 }.
% 123.61/124.07 parent1[0]: (123) {G0,W4,D2,L1,V0,M1} I { coll( skol22, skol27, skol29 )
% 123.61/124.07 }.
% 123.61/124.07 substitution0:
% 123.61/124.07 X := skol22
% 123.61/124.07 Y := skol27
% 123.61/124.07 Z := skol29
% 123.61/124.07 end
% 123.61/124.07 substitution1:
% 123.61/124.07 end
% 123.61/124.07
% 123.61/124.07 subsumption: (175) {G1,W4,D2,L1,V0,M1} R(1,123) { coll( skol27, skol22,
% 123.61/124.07 skol29 ) }.
% 123.61/124.07 parent0: (144959) {G1,W4,D2,L1,V0,M1} { coll( skol27, skol22, skol29 ) }.
% 123.61/124.07 substitution0:
% 123.61/124.07 end
% 123.61/124.07 permutation0:
% 123.61/124.07 0 ==> 0
% 123.61/124.07 end
% 123.61/124.07
% 123.61/124.07 resolution: (144963) {G1,W12,D2,L3,V4,M3} { coll( X, Z, Y ), ! coll( Z, T
% 123.61/124.07 , X ), ! coll( Z, T, Y ) }.
% 123.61/124.07 parent0[0]: (0) {G0,W8,D2,L2,V3,M2} I { ! coll( X, Y, Z ), coll( X, Z, Y )
% 123.61/124.07 }.
% 123.61/124.07 parent1[2]: (2) {G0,W12,D2,L3,V4,M3} I { ! coll( X, T, Y ), ! coll( X, T, Z
% 123.61/124.07 ), coll( Y, Z, X ) }.
% 123.61/124.07 substitution0:
% 123.61/124.07 X := X
% 123.61/124.07 Y := Y
% 123.61/124.07 Z := Z
% 123.61/124.07 end
% 123.61/124.07 substitution1:
% 123.61/124.07 X := Z
% 123.61/124.07 Y := X
% 123.61/124.07 Z := Y
% 123.61/124.07 T := T
% 123.61/124.07 end
% 123.61/124.07
% 123.61/124.07 subsumption: (200) {G1,W12,D2,L3,V4,M3} R(2,0) { ! coll( X, Y, Z ), ! coll
% 123.61/124.07 ( X, Y, T ), coll( Z, X, T ) }.
% 123.61/124.07 parent0: (144963) {G1,W12,D2,L3,V4,M3} { coll( X, Z, Y ), ! coll( Z, T, X
% 123.61/124.07 ), ! coll( Z, T, Y ) }.
% 123.61/124.07 substitution0:
% 123.61/124.07 X := Z
% 123.61/124.07 Y := T
% 123.61/124.07 Z := X
% 123.61/124.07 T := Y
% 123.61/124.07 end
% 123.61/124.07 permutation0:
% 123.61/124.07 0 ==> 2
% 123.61/124.07 1 ==> 0
% 123.61/124.07 2 ==> 1
% 123.61/124.07 end
% 123.61/124.07
% 123.61/124.07 factor: (144965) {G1,W8,D2,L2,V3,M2} { ! coll( X, Y, Z ), coll( Z, X, Z )
% 123.61/124.07 }.
% 123.61/124.07 parent0[0, 1]: (200) {G1,W12,D2,L3,V4,M3} R(2,0) { ! coll( X, Y, Z ), !
% 123.61/124.07 coll( X, Y, T ), coll( Z, X, T ) }.
% 123.61/124.07 substitution0:
% 123.61/124.07 X := X
% 123.61/124.07 Y := Y
% 123.61/124.07 Z := Z
% 123.61/124.07 T := Z
% 123.61/124.07 end
% 123.61/124.07
% 123.61/124.07 subsumption: (205) {G2,W8,D2,L2,V3,M2} F(200) { ! coll( X, Y, Z ), coll( Z
% 123.61/124.07 , X, Z ) }.
% 123.61/124.07 parent0: (144965) {G1,W8,D2,L2,V3,M2} { ! coll( X, Y, Z ), coll( Z, X, Z )
% 123.61/124.07 }.
% 123.61/124.07 substitution0:
% 123.61/124.07 X := X
% 123.61/124.07 Y := Y
% 123.61/124.07 Z := Z
% 123.61/124.07 end
% 123.61/124.07 permutation0:
% 123.61/124.07 0 ==> 0
% 123.61/124.07 1 ==> 1
% 123.61/124.07 end
% 123.61/124.07
% 123.61/124.07 resolution: (144966) {G1,W10,D2,L2,V4,M2} { para( Z, T, X, Y ), ! para( X
% 123.61/124.07 , Y, T, Z ) }.
% 123.61/124.07 parent0[0]: (4) {G0,W10,D2,L2,V4,M2} I { ! para( X, Y, Z, T ), para( Z, T,
% 123.61/124.07 X, Y ) }.
% 123.61/124.07 parent1[1]: (3) {G0,W10,D2,L2,V4,M2} I { ! para( X, Y, Z, T ), para( X, Y,
% 123.61/124.07 T, Z ) }.
% 123.61/124.07 substitution0:
% 123.61/124.07 X := X
% 123.61/124.07 Y := Y
% 123.61/124.07 Z := Z
% 123.61/124.07 T := T
% 123.61/124.07 end
% 123.61/124.07 substitution1:
% 123.61/124.07 X := X
% 123.61/124.07 Y := Y
% 123.61/124.07 Z := T
% 123.61/124.07 T := Z
% 123.61/124.07 end
% 123.61/124.07
% 123.61/124.07 subsumption: (228) {G1,W10,D2,L2,V4,M2} R(4,3) { para( X, Y, Z, T ), ! para
% 123.61/124.07 ( Z, T, Y, X ) }.
% 123.61/124.07 parent0: (144966) {G1,W10,D2,L2,V4,M2} { para( Z, T, X, Y ), ! para( X, Y
% 123.61/124.07 , T, Z ) }.
% 123.61/124.07 substitution0:
% 123.61/124.07 X := Z
% 123.61/124.07 Y := T
% 123.61/124.07 Z := X
% 123.61/124.07 T := Y
% 123.61/124.07 end
% 123.61/124.07 permutation0:
% 123.61/124.07 0 ==> 0
% 123.61/124.07 1 ==> 1
% 123.61/124.07 end
% 123.61/124.07
% 123.61/124.07 resolution: (144968) {G1,W10,D2,L2,V4,M2} { para( X, Y, T, Z ), ! para( Z
% 123.61/124.07 , T, X, Y ) }.
% 123.61/124.07 parent0[0]: (3) {G0,W10,D2,L2,V4,M2} I { ! para( X, Y, Z, T ), para( X, Y,
% 123.61/124.07 T, Z ) }.
% 123.61/124.07 parent1[1]: (4) {G0,W10,D2,L2,V4,M2} I { ! para( X, Y, Z, T ), para( Z, T,
% 123.61/124.07 X, Y ) }.
% 123.61/124.07 substitution0:
% 123.61/124.07 X := X
% 123.61/124.07 Y := Y
% 123.61/124.07 Z := Z
% 123.61/124.07 T := T
% 123.61/124.07 end
% 123.61/124.07 substitution1:
% 123.61/124.07 X := Z
% 123.61/124.07 Y := T
% 123.61/124.07 Z := X
% 123.61/124.07 T := Y
% 123.61/124.07 end
% 123.61/124.07
% 123.61/124.07 subsumption: (229) {G1,W10,D2,L2,V4,M2} R(4,3) { ! para( X, Y, Z, T ), para
% 123.61/124.07 ( Z, T, Y, X ) }.
% 123.61/124.07 parent0: (144968) {G1,W10,D2,L2,V4,M2} { para( X, Y, T, Z ), ! para( Z, T
% 123.61/124.07 , X, Y ) }.
% 123.61/124.07 substitution0:
% 123.61/124.07 X := Z
% 123.61/124.07 Y := T
% 123.61/124.07 Z := X
% 123.61/124.07 T := Y
% 123.61/124.07 end
% 123.61/124.07 permutation0:
% 123.61/124.07 0 ==> 1
% 123.61/124.07 1 ==> 0
% 123.61/124.07 end
% 123.61/124.07
% 123.61/124.07 resolution: (144969) {G1,W10,D2,L2,V4,M2} { perp( Z, T, X, Y ), ! perp( X
% 123.61/124.07 , Y, T, Z ) }.
% 123.61/124.07 parent0[0]: (7) {G0,W10,D2,L2,V4,M2} I { ! perp( X, Y, Z, T ), perp( Z, T,
% 123.61/124.07 X, Y ) }.
% 123.61/124.07 parent1[1]: (6) {G0,W10,D2,L2,V4,M2} I { ! perp( X, Y, Z, T ), perp( X, Y,
% 123.61/124.07 T, Z ) }.
% 123.61/124.07 substitution0:
% 123.61/124.07 X := X
% 123.61/124.07 Y := Y
% 123.61/124.07 Z := Z
% 123.61/124.07 T := T
% 123.61/124.07 end
% 123.61/124.07 substitution1:
% 123.61/124.07 X := X
% 123.61/124.07 Y := Y
% 123.61/124.07 Z := T
% 123.61/124.07 T := Z
% 123.61/124.07 end
% 123.61/124.07
% 123.61/124.07 subsumption: (272) {G1,W10,D2,L2,V4,M2} R(7,6) { perp( X, Y, Z, T ), ! perp
% 123.61/124.07 ( Z, T, Y, X ) }.
% 123.61/124.07 parent0: (144969) {G1,W10,D2,L2,V4,M2} { perp( Z, T, X, Y ), ! perp( X, Y
% 123.61/124.07 , T, Z ) }.
% 123.61/124.07 substitution0:
% 123.61/124.07 X := Z
% 123.61/124.07 Y := T
% 123.61/124.07 Z := X
% 123.61/124.07 T := Y
% 123.61/124.07 end
% 123.61/124.07 permutation0:
% 123.61/124.07 0 ==> 0
% 123.61/124.07 1 ==> 1
% 123.61/124.07 end
% 123.61/124.07
% 123.61/124.07 resolution: (144970) {G1,W5,D2,L1,V0,M1} { perp( skol25, skol26, skol29,
% 123.61/124.07 skol27 ) }.
% 123.61/124.07 parent0[0]: (7) {G0,W10,D2,L2,V4,M2} I { ! perp( X, Y, Z, T ), perp( Z, T,
% 123.61/124.07 X, Y ) }.
% 123.61/124.07 parent1[0]: (120) {G0,W5,D2,L1,V0,M1} I { perp( skol29, skol27, skol25,
% 123.61/124.07 skol26 ) }.
% 123.61/124.07 substitution0:
% 123.61/124.07 X := skol29
% 123.61/124.07 Y := skol27
% 123.61/124.07 Z := skol25
% 123.61/124.07 T := skol26
% 123.61/124.07 end
% 123.61/124.07 substitution1:
% 123.61/124.07 end
% 123.61/124.07
% 123.61/124.07 subsumption: (274) {G1,W5,D2,L1,V0,M1} R(120,7) { perp( skol25, skol26,
% 123.61/124.07 skol29, skol27 ) }.
% 123.61/124.07 parent0: (144970) {G1,W5,D2,L1,V0,M1} { perp( skol25, skol26, skol29,
% 123.61/124.07 skol27 ) }.
% 123.61/124.07 substitution0:
% 123.61/124.07 end
% 123.61/124.07 permutation0:
% 123.61/124.07 0 ==> 0
% 123.61/124.07 end
% 123.61/124.07
% 123.61/124.07 resolution: (144971) {G1,W5,D2,L1,V0,M1} { perp( skol25, skol26, skol27,
% 123.61/124.07 skol29 ) }.
% 123.61/124.07 parent0[0]: (6) {G0,W10,D2,L2,V4,M2} I { ! perp( X, Y, Z, T ), perp( X, Y,
% 123.61/124.07 T, Z ) }.
% 123.61/124.07 parent1[0]: (274) {G1,W5,D2,L1,V0,M1} R(120,7) { perp( skol25, skol26,
% 123.61/124.07 skol29, skol27 ) }.
% 123.61/124.07 substitution0:
% 123.61/124.07 X := skol25
% 123.61/124.07 Y := skol26
% 123.61/124.07 Z := skol29
% 123.61/124.07 T := skol27
% 123.61/124.07 end
% 123.61/124.07 substitution1:
% 123.61/124.07 end
% 123.61/124.07
% 123.61/124.07 subsumption: (276) {G2,W5,D2,L1,V0,M1} R(274,6) { perp( skol25, skol26,
% 123.61/124.07 skol27, skol29 ) }.
% 123.61/124.07 parent0: (144971) {G1,W5,D2,L1,V0,M1} { perp( skol25, skol26, skol27,
% 123.61/124.07 skol29 ) }.
% 123.61/124.07 substitution0:
% 123.61/124.07 end
% 123.61/124.07 permutation0:
% 123.61/124.07 0 ==> 0
% 123.61/124.07 end
% 123.61/124.07
% 123.61/124.07 resolution: (144972) {G1,W10,D2,L2,V2,M2} { ! perp( skol27, skol29, X, Y )
% 123.61/124.07 , para( skol25, skol26, X, Y ) }.
% 123.61/124.07 parent0[0]: (8) {G0,W15,D2,L3,V6,M3} I { ! perp( X, Y, U, W ), ! perp( U, W
% 123.61/124.07 , Z, T ), para( X, Y, Z, T ) }.
% 123.61/124.07 parent1[0]: (276) {G2,W5,D2,L1,V0,M1} R(274,6) { perp( skol25, skol26,
% 123.61/124.07 skol27, skol29 ) }.
% 123.61/124.07 substitution0:
% 123.61/124.07 X := skol25
% 123.61/124.07 Y := skol26
% 123.61/124.07 Z := X
% 123.61/124.07 T := Y
% 123.61/124.07 U := skol27
% 123.61/124.07 W := skol29
% 123.61/124.07 end
% 123.61/124.07 substitution1:
% 123.61/124.07 end
% 123.61/124.07
% 123.61/124.07 subsumption: (278) {G3,W10,D2,L2,V2,M2} R(8,276) { ! perp( skol27, skol29,
% 123.61/124.07 X, Y ), para( skol25, skol26, X, Y ) }.
% 123.61/124.07 parent0: (144972) {G1,W10,D2,L2,V2,M2} { ! perp( skol27, skol29, X, Y ),
% 123.61/124.07 para( skol25, skol26, X, Y ) }.
% 123.61/124.07 substitution0:
% 123.61/124.07 X := X
% 123.61/124.07 Y := Y
% 123.61/124.07 end
% 123.61/124.07 permutation0:
% 123.61/124.07 0 ==> 0
% 123.61/124.07 1 ==> 1
% 123.61/124.07 end
% 123.61/124.07
% 123.61/124.07 resolution: (144975) {G1,W10,D2,L2,V2,M2} { ! perp( X, Y, skol25, skol26 )
% 123.61/124.07 , para( X, Y, skol29, skol27 ) }.
% 123.61/124.07 parent0[1]: (8) {G0,W15,D2,L3,V6,M3} I { ! perp( X, Y, U, W ), ! perp( U, W
% 123.61/124.07 , Z, T ), para( X, Y, Z, T ) }.
% 123.61/124.07 parent1[0]: (274) {G1,W5,D2,L1,V0,M1} R(120,7) { perp( skol25, skol26,
% 123.61/124.07 skol29, skol27 ) }.
% 123.61/124.07 substitution0:
% 123.61/124.07 X := X
% 123.61/124.07 Y := Y
% 123.61/124.07 Z := skol29
% 123.61/124.07 T := skol27
% 123.61/124.07 U := skol25
% 123.61/124.07 W := skol26
% 123.61/124.07 end
% 123.61/124.07 substitution1:
% 123.61/124.07 end
% 123.61/124.07
% 123.61/124.07 subsumption: (281) {G2,W10,D2,L2,V2,M2} R(8,274) { ! perp( X, Y, skol25,
% 123.61/124.07 skol26 ), para( X, Y, skol29, skol27 ) }.
% 123.61/124.07 parent0: (144975) {G1,W10,D2,L2,V2,M2} { ! perp( X, Y, skol25, skol26 ),
% 123.61/124.07 para( X, Y, skol29, skol27 ) }.
% 123.61/124.07 substitution0:
% 123.61/124.07 X := X
% 123.61/124.07 Y := Y
% 123.61/124.07 end
% 123.61/124.07 permutation0:
% 123.61/124.07 0 ==> 0
% 123.61/124.07 1 ==> 1
% 123.61/124.07 end
% 123.61/124.07
% 123.61/124.07 resolution: (144977) {G1,W15,D2,L3,V6,M3} { ! perp( X, Y, Z, T ), para( X
% 123.61/124.07 , Y, U, W ), ! perp( U, W, Z, T ) }.
% 123.61/124.07 parent0[1]: (8) {G0,W15,D2,L3,V6,M3} I { ! perp( X, Y, U, W ), ! perp( U, W
% 123.61/124.07 , Z, T ), para( X, Y, Z, T ) }.
% 123.61/124.07 parent1[1]: (7) {G0,W10,D2,L2,V4,M2} I { ! perp( X, Y, Z, T ), perp( Z, T,
% 123.61/124.07 X, Y ) }.
% 123.61/124.07 substitution0:
% 123.61/124.07 X := X
% 123.61/124.07 Y := Y
% 123.61/124.07 Z := U
% 123.61/124.07 T := W
% 123.61/124.07 U := Z
% 123.61/124.07 W := T
% 123.61/124.07 end
% 123.61/124.07 substitution1:
% 123.61/124.07 X := U
% 123.61/124.07 Y := W
% 123.61/124.07 Z := Z
% 123.61/124.07 T := T
% 123.61/124.07 end
% 123.61/124.07
% 123.61/124.07 subsumption: (285) {G1,W15,D2,L3,V6,M3} R(8,7) { ! perp( X, Y, Z, T ), para
% 123.61/124.07 ( X, Y, U, W ), ! perp( U, W, Z, T ) }.
% 123.61/124.07 parent0: (144977) {G1,W15,D2,L3,V6,M3} { ! perp( X, Y, Z, T ), para( X, Y
% 123.61/124.07 , U, W ), ! perp( U, W, Z, T ) }.
% 123.61/124.07 substitution0:
% 123.61/124.07 X := X
% 123.61/124.07 Y := Y
% 123.61/124.07 Z := Z
% 123.61/124.07 T := T
% 123.61/124.07 U := U
% 123.61/124.07 W := W
% 123.61/124.07 end
% 123.61/124.07 permutation0:
% 123.61/124.07 0 ==> 0
% 123.61/124.07 1 ==> 1
% 123.61/124.07 2 ==> 2
% 123.61/124.07 end
% 123.61/124.07
% 123.61/124.07 factor: (144980) {G1,W10,D2,L2,V4,M2} { ! perp( X, Y, Z, T ), para( X, Y,
% 123.61/124.07 X, Y ) }.
% 123.61/124.07 parent0[0, 2]: (285) {G1,W15,D2,L3,V6,M3} R(8,7) { ! perp( X, Y, Z, T ),
% 123.61/124.07 para( X, Y, U, W ), ! perp( U, W, Z, T ) }.
% 123.61/124.07 substitution0:
% 123.61/124.07 X := X
% 123.61/124.07 Y := Y
% 123.61/124.07 Z := Z
% 123.61/124.07 T := T
% 123.61/124.07 U := X
% 123.61/124.07 W := Y
% 123.61/124.07 end
% 123.61/124.07
% 123.61/124.07 subsumption: (293) {G2,W10,D2,L2,V4,M2} F(285) { ! perp( X, Y, Z, T ), para
% 123.61/124.07 ( X, Y, X, Y ) }.
% 123.61/124.07 parent0: (144980) {G1,W10,D2,L2,V4,M2} { ! perp( X, Y, Z, T ), para( X, Y
% 123.61/124.07 , X, Y ) }.
% 123.61/124.07 substitution0:
% 123.61/124.07 X := X
% 123.61/124.07 Y := Y
% 123.61/124.07 Z := Z
% 123.61/124.07 T := T
% 123.61/124.07 end
% 123.61/124.07 permutation0:
% 123.61/124.07 0 ==> 0
% 123.61/124.07 1 ==> 1
% 123.61/124.07 end
% 123.61/124.07
% 123.61/124.07 resolution: (144981) {G1,W10,D2,L2,V2,M2} { ! perp( skol25, skol27, X, Y )
% 123.61/124.07 , para( skol28, skol26, X, Y ) }.
% 123.61/124.07 parent0[0]: (8) {G0,W15,D2,L3,V6,M3} I { ! perp( X, Y, U, W ), ! perp( U, W
% 123.61/124.07 , Z, T ), para( X, Y, Z, T ) }.
% 123.61/124.07 parent1[0]: (118) {G0,W5,D2,L1,V0,M1} I { perp( skol28, skol26, skol25,
% 123.61/124.07 skol27 ) }.
% 123.61/124.07 substitution0:
% 123.61/124.07 X := skol28
% 123.61/124.07 Y := skol26
% 123.61/124.07 Z := X
% 123.61/124.07 T := Y
% 123.61/124.07 U := skol25
% 123.61/124.07 W := skol27
% 123.61/124.07 end
% 123.61/124.07 substitution1:
% 123.61/124.07 end
% 123.61/124.07
% 123.61/124.07 subsumption: (325) {G1,W10,D2,L2,V2,M2} R(118,8) { ! perp( skol25, skol27,
% 123.61/124.07 X, Y ), para( skol28, skol26, X, Y ) }.
% 123.61/124.07 parent0: (144981) {G1,W10,D2,L2,V2,M2} { ! perp( skol25, skol27, X, Y ),
% 123.61/124.07 para( skol28, skol26, X, Y ) }.
% 123.61/124.07 substitution0:
% 123.61/124.07 X := X
% 123.61/124.07 Y := Y
% 123.61/124.07 end
% 123.61/124.07 permutation0:
% 123.61/124.07 0 ==> 0
% 123.61/124.07 1 ==> 1
% 123.61/124.07 end
% 123.61/124.07
% 123.61/124.07 resolution: (144983) {G1,W5,D2,L1,V0,M1} { perp( skol25, skol27, skol28,
% 123.61/124.07 skol26 ) }.
% 123.61/124.07 parent0[0]: (7) {G0,W10,D2,L2,V4,M2} I { ! perp( X, Y, Z, T ), perp( Z, T,
% 123.61/124.07 X, Y ) }.
% 123.61/124.07 parent1[0]: (118) {G0,W5,D2,L1,V0,M1} I { perp( skol28, skol26, skol25,
% 123.61/124.07 skol27 ) }.
% 123.61/124.07 substitution0:
% 123.61/124.07 X := skol28
% 123.61/124.07 Y := skol26
% 123.61/124.07 Z := skol25
% 123.61/124.07 T := skol27
% 123.61/124.07 end
% 123.61/124.07 substitution1:
% 123.61/124.07 end
% 123.61/124.07
% 123.61/124.07 subsumption: (327) {G1,W5,D2,L1,V0,M1} R(118,7) { perp( skol25, skol27,
% 123.61/124.07 skol28, skol26 ) }.
% 123.61/124.07 parent0: (144983) {G1,W5,D2,L1,V0,M1} { perp( skol25, skol27, skol28,
% 123.61/124.07 skol26 ) }.
% 123.61/124.07 substitution0:
% 123.61/124.07 end
% 123.61/124.07 permutation0:
% 123.61/124.07 0 ==> 0
% 123.61/124.07 end
% 123.61/124.07
% 123.61/124.07 resolution: (144984) {G1,W5,D2,L1,V0,M1} { perp( skol25, skol27, skol26,
% 123.61/124.07 skol28 ) }.
% 123.61/124.07 parent0[0]: (6) {G0,W10,D2,L2,V4,M2} I { ! perp( X, Y, Z, T ), perp( X, Y,
% 123.61/124.07 T, Z ) }.
% 123.61/124.07 parent1[0]: (327) {G1,W5,D2,L1,V0,M1} R(118,7) { perp( skol25, skol27,
% 123.61/124.07 skol28, skol26 ) }.
% 123.61/124.07 substitution0:
% 123.61/124.07 X := skol25
% 123.61/124.07 Y := skol27
% 123.61/124.07 Z := skol28
% 123.61/124.07 T := skol26
% 123.61/124.07 end
% 123.61/124.07 substitution1:
% 123.61/124.07 end
% 123.61/124.07
% 123.61/124.07 subsumption: (332) {G2,W5,D2,L1,V0,M1} R(327,6) { perp( skol25, skol27,
% 123.61/124.07 skol26, skol28 ) }.
% 123.61/124.07 parent0: (144984) {G1,W5,D2,L1,V0,M1} { perp( skol25, skol27, skol26,
% 123.61/124.07 skol28 ) }.
% 123.61/124.07 substitution0:
% 123.61/124.07 end
% 123.61/124.07 permutation0:
% 123.61/124.07 0 ==> 0
% 123.61/124.07 end
% 123.61/124.07
% 123.61/124.07 resolution: (144985) {G1,W5,D2,L1,V0,M1} { perp( skol26, skol28, skol25,
% 123.61/124.07 skol27 ) }.
% 123.61/124.07 parent0[0]: (7) {G0,W10,D2,L2,V4,M2} I { ! perp( X, Y, Z, T ), perp( Z, T,
% 123.61/124.07 X, Y ) }.
% 123.61/124.07 parent1[0]: (332) {G2,W5,D2,L1,V0,M1} R(327,6) { perp( skol25, skol27,
% 123.61/124.07 skol26, skol28 ) }.
% 123.61/124.07 substitution0:
% 123.61/124.07 X := skol25
% 123.61/124.07 Y := skol27
% 123.61/124.07 Z := skol26
% 123.61/124.07 T := skol28
% 123.61/124.07 end
% 123.61/124.07 substitution1:
% 123.61/124.07 end
% 123.61/124.07
% 123.61/124.07 subsumption: (336) {G3,W5,D2,L1,V0,M1} R(332,7) { perp( skol26, skol28,
% 123.61/124.07 skol25, skol27 ) }.
% 123.61/124.07 parent0: (144985) {G1,W5,D2,L1,V0,M1} { perp( skol26, skol28, skol25,
% 123.61/124.07 skol27 ) }.
% 123.61/124.07 substitution0:
% 123.61/124.07 end
% 123.61/124.07 permutation0:
% 123.61/124.07 0 ==> 0
% 123.61/124.07 end
% 123.61/124.07
% 123.61/124.07 resolution: (144986) {G1,W4,D2,L1,V0,M1} { midp( skol30, skol26, skol27 )
% 123.61/124.07 }.
% 123.61/124.07 parent0[0]: (10) {G0,W8,D2,L2,V3,M2} I { ! midp( Z, Y, X ), midp( Z, X, Y )
% 123.61/124.07 }.
% 123.61/124.07 parent1[0]: (124) {G0,W4,D2,L1,V0,M1} I { midp( skol30, skol27, skol26 )
% 123.61/124.07 }.
% 123.61/124.07 substitution0:
% 123.61/124.07 X := skol26
% 123.61/124.07 Y := skol27
% 123.61/124.07 Z := skol30
% 123.61/124.07 end
% 123.61/124.07 substitution1:
% 123.61/124.07 end
% 123.61/124.07
% 123.61/124.07 subsumption: (337) {G1,W4,D2,L1,V0,M1} R(10,124) { midp( skol30, skol26,
% 123.61/124.07 skol27 ) }.
% 123.61/124.07 parent0: (144986) {G1,W4,D2,L1,V0,M1} { midp( skol30, skol26, skol27 ) }.
% 123.61/124.07 substitution0:
% 123.61/124.07 end
% 123.61/124.07 permutation0:
% 123.61/124.07 0 ==> 0
% 123.61/124.07 end
% 123.61/124.07
% 123.61/124.07 resolution: (144987) {G1,W4,D2,L1,V0,M1} { midp( skol24, skol27, skol29 )
% 123.61/124.07 }.
% 123.61/124.07 parent0[0]: (10) {G0,W8,D2,L2,V3,M2} I { ! midp( Z, Y, X ), midp( Z, X, Y )
% 123.61/124.07 }.
% 123.61/124.07 parent1[0]: (126) {G0,W4,D2,L1,V0,M1} I { midp( skol24, skol29, skol27 )
% 123.61/124.07 }.
% 123.61/124.07 substitution0:
% 123.61/124.07 X := skol27
% 123.61/124.07 Y := skol29
% 123.61/124.07 Z := skol24
% 123.61/124.07 end
% 123.61/124.07 substitution1:
% 123.61/124.07 end
% 123.61/124.07
% 123.61/124.07 subsumption: (339) {G1,W4,D2,L1,V0,M1} R(10,126) { midp( skol24, skol27,
% 123.61/124.07 skol29 ) }.
% 123.61/124.07 parent0: (144987) {G1,W4,D2,L1,V0,M1} { midp( skol24, skol27, skol29 ) }.
% 123.61/124.07 substitution0:
% 123.61/124.07 end
% 123.61/124.07 permutation0:
% 123.61/124.07 0 ==> 0
% 123.61/124.07 end
% 123.61/124.07
% 123.61/124.07 resolution: (144988) {G1,W5,D2,L1,V0,M1} { perp( skol26, skol28, skol27,
% 123.61/124.07 skol25 ) }.
% 123.61/124.07 parent0[0]: (6) {G0,W10,D2,L2,V4,M2} I { ! perp( X, Y, Z, T ), perp( X, Y,
% 123.61/124.07 T, Z ) }.
% 123.61/124.07 parent1[0]: (336) {G3,W5,D2,L1,V0,M1} R(332,7) { perp( skol26, skol28,
% 123.61/124.07 skol25, skol27 ) }.
% 123.61/124.07 substitution0:
% 123.61/124.07 X := skol26
% 123.61/124.07 Y := skol28
% 123.61/124.07 Z := skol25
% 123.61/124.07 T := skol27
% 123.61/124.07 end
% 123.61/124.07 substitution1:
% 123.61/124.07 end
% 123.61/124.07
% 123.61/124.07 subsumption: (343) {G4,W5,D2,L1,V0,M1} R(336,6) { perp( skol26, skol28,
% 123.61/124.07 skol27, skol25 ) }.
% 123.61/124.07 parent0: (144988) {G1,W5,D2,L1,V0,M1} { perp( skol26, skol28, skol27,
% 123.61/124.07 skol25 ) }.
% 123.61/124.07 substitution0:
% 123.61/124.07 end
% 123.61/124.07 permutation0:
% 123.61/124.07 0 ==> 0
% 123.61/124.07 end
% 123.61/124.07
% 123.61/124.07 resolution: (144989) {G1,W5,D2,L1,V0,M1} { perp( skol27, skol25, skol26,
% 123.61/124.07 skol28 ) }.
% 123.61/124.07 parent0[0]: (7) {G0,W10,D2,L2,V4,M2} I { ! perp( X, Y, Z, T ), perp( Z, T,
% 123.61/124.07 X, Y ) }.
% 123.61/124.07 parent1[0]: (343) {G4,W5,D2,L1,V0,M1} R(336,6) { perp( skol26, skol28,
% 123.61/124.07 skol27, skol25 ) }.
% 123.61/124.07 substitution0:
% 123.61/124.07 X := skol26
% 123.61/124.07 Y := skol28
% 123.61/124.07 Z := skol27
% 123.61/124.07 T := skol25
% 123.61/124.07 end
% 123.61/124.07 substitution1:
% 123.61/124.07 end
% 123.61/124.07
% 123.61/124.07 subsumption: (347) {G5,W5,D2,L1,V0,M1} R(343,7) { perp( skol27, skol25,
% 123.61/124.07 skol26, skol28 ) }.
% 123.61/124.07 parent0: (144989) {G1,W5,D2,L1,V0,M1} { perp( skol27, skol25, skol26,
% 123.61/124.07 skol28 ) }.
% 123.61/124.07 substitution0:
% 123.61/124.07 end
% 123.61/124.07 permutation0:
% 123.61/124.07 0 ==> 0
% 123.61/124.07 end
% 123.61/124.07
% 123.61/124.07 resolution: (144990) {G1,W5,D2,L1,V0,M1} { perp( skol27, skol25, skol28,
% 123.61/124.07 skol26 ) }.
% 123.61/124.07 parent0[0]: (6) {G0,W10,D2,L2,V4,M2} I { ! perp( X, Y, Z, T ), perp( X, Y,
% 123.61/124.07 T, Z ) }.
% 123.61/124.07 parent1[0]: (347) {G5,W5,D2,L1,V0,M1} R(343,7) { perp( skol27, skol25,
% 123.61/124.07 skol26, skol28 ) }.
% 123.61/124.07 substitution0:
% 123.61/124.07 X := skol27
% 123.61/124.07 Y := skol25
% 123.61/124.07 Z := skol26
% 123.61/124.07 T := skol28
% 123.61/124.07 end
% 123.61/124.07 substitution1:
% 123.61/124.07 end
% 123.61/124.07
% 123.61/124.07 subsumption: (351) {G6,W5,D2,L1,V0,M1} R(347,6) { perp( skol27, skol25,
% 123.61/124.07 skol28, skol26 ) }.
% 123.61/124.07 parent0: (144990) {G1,W5,D2,L1,V0,M1} { perp( skol27, skol25, skol28,
% 123.61/124.07 skol26 ) }.
% 123.61/124.07 substitution0:
% 123.61/124.07 end
% 123.61/124.07 permutation0:
% 123.61/124.07 0 ==> 0
% 123.61/124.07 end
% 123.61/124.07
% 123.61/124.07 resolution: (144991) {G1,W10,D2,L2,V2,M2} { ! perp( skol28, skol26, X, Y )
% 123.61/124.07 , para( skol27, skol25, X, Y ) }.
% 123.61/124.07 parent0[0]: (8) {G0,W15,D2,L3,V6,M3} I { ! perp( X, Y, U, W ), ! perp( U, W
% 123.61/124.07 , Z, T ), para( X, Y, Z, T ) }.
% 123.61/124.07 parent1[0]: (351) {G6,W5,D2,L1,V0,M1} R(347,6) { perp( skol27, skol25,
% 123.61/124.07 skol28, skol26 ) }.
% 123.61/124.07 substitution0:
% 123.61/124.07 X := skol27
% 123.61/124.07 Y := skol25
% 123.61/124.07 Z := X
% 123.61/124.07 T := Y
% 123.61/124.07 U := skol28
% 123.61/124.07 W := skol26
% 123.61/124.07 end
% 123.61/124.07 substitution1:
% 123.61/124.07 end
% 123.61/124.07
% 123.61/124.07 subsumption: (353) {G7,W10,D2,L2,V2,M2} R(351,8) { ! perp( skol28, skol26,
% 123.61/124.07 X, Y ), para( skol27, skol25, X, Y ) }.
% 123.61/124.07 parent0: (144991) {G1,W10,D2,L2,V2,M2} { ! perp( skol28, skol26, X, Y ),
% 123.61/124.07 para( skol27, skol25, X, Y ) }.
% 123.61/124.07 substitution0:
% 123.61/124.07 X := X
% 123.61/124.07 Y := Y
% 123.61/124.07 end
% 123.61/124.07 permutation0:
% 123.61/124.07 0 ==> 0
% 123.61/124.07 1 ==> 1
% 123.61/124.07 end
% 123.61/124.07
% 123.61/124.07 resolution: (144993) {G1,W5,D2,L1,V0,M1} { perp( skol26, skol27, skol20,
% 123.61/124.07 skol25 ) }.
% 123.61/124.07 parent0[0]: (7) {G0,W10,D2,L2,V4,M2} I { ! perp( X, Y, Z, T ), perp( Z, T,
% 123.61/124.07 X, Y ) }.
% 123.61/124.07 parent1[0]: (116) {G0,W5,D2,L1,V0,M1} I { perp( skol20, skol25, skol26,
% 123.61/124.07 skol27 ) }.
% 123.61/124.07 substitution0:
% 123.61/124.07 X := skol20
% 123.61/124.07 Y := skol25
% 123.61/124.07 Z := skol26
% 123.61/124.07 T := skol27
% 123.61/124.07 end
% 123.61/124.07 substitution1:
% 123.61/124.07 end
% 123.61/124.07
% 123.61/124.07 subsumption: (362) {G1,W5,D2,L1,V0,M1} R(116,7) { perp( skol26, skol27,
% 123.61/124.07 skol20, skol25 ) }.
% 123.61/124.07 parent0: (144993) {G1,W5,D2,L1,V0,M1} { perp( skol26, skol27, skol20,
% 123.61/124.07 skol25 ) }.
% 123.61/124.07 substitution0:
% 123.61/124.07 end
% 123.61/124.07 permutation0:
% 123.61/124.07 0 ==> 0
% 123.61/124.07 end
% 123.61/124.07
% 123.61/124.07 resolution: (144994) {G1,W5,D2,L1,V0,M1} { perp( skol26, skol27, skol25,
% 123.61/124.07 skol20 ) }.
% 123.61/124.07 parent0[0]: (6) {G0,W10,D2,L2,V4,M2} I { ! perp( X, Y, Z, T ), perp( X, Y,
% 123.61/124.07 T, Z ) }.
% 123.61/124.07 parent1[0]: (362) {G1,W5,D2,L1,V0,M1} R(116,7) { perp( skol26, skol27,
% 123.61/124.07 skol20, skol25 ) }.
% 123.61/124.07 substitution0:
% 123.61/124.07 X := skol26
% 123.61/124.07 Y := skol27
% 123.61/124.07 Z := skol20
% 123.61/124.07 T := skol25
% 123.61/124.07 end
% 123.61/124.07 substitution1:
% 123.61/124.07 end
% 123.61/124.07
% 123.61/124.07 subsumption: (367) {G2,W5,D2,L1,V0,M1} R(362,6) { perp( skol26, skol27,
% 123.61/124.07 skol25, skol20 ) }.
% 123.61/124.07 parent0: (144994) {G1,W5,D2,L1,V0,M1} { perp( skol26, skol27, skol25,
% 123.61/124.07 skol20 ) }.
% 123.61/124.07 substitution0:
% 123.61/124.07 end
% 123.61/124.07 permutation0:
% 123.61/124.07 0 ==> 0
% 123.61/124.07 end
% 123.61/124.07
% 123.61/124.07 resolution: (144995) {G1,W5,D2,L1,V0,M1} { perp( skol25, skol20, skol26,
% 123.61/124.07 skol27 ) }.
% 123.61/124.07 parent0[0]: (7) {G0,W10,D2,L2,V4,M2} I { ! perp( X, Y, Z, T ), perp( Z, T,
% 123.61/124.07 X, Y ) }.
% 123.61/124.07 parent1[0]: (367) {G2,W5,D2,L1,V0,M1} R(362,6) { perp( skol26, skol27,
% 123.61/124.07 skol25, skol20 ) }.
% 123.61/124.07 substitution0:
% 123.61/124.07 X := skol26
% 123.61/124.07 Y := skol27
% 123.61/124.07 Z := skol25
% 123.61/124.07 T := skol20
% 123.61/124.07 end
% 123.61/124.07 substitution1:
% 123.61/124.07 end
% 123.61/124.07
% 123.61/124.07 subsumption: (371) {G3,W5,D2,L1,V0,M1} R(367,7) { perp( skol25, skol20,
% 123.61/124.07 skol26, skol27 ) }.
% 123.61/124.07 parent0: (144995) {G1,W5,D2,L1,V0,M1} { perp( skol25, skol20, skol26,
% 123.61/124.07 skol27 ) }.
% 123.61/124.07 substitution0:
% 123.61/124.07 end
% 123.61/124.07 permutation0:
% 123.61/124.07 0 ==> 0
% 123.61/124.07 end
% 123.61/124.07
% 123.61/124.07 resolution: (144996) {G1,W5,D2,L1,V0,M1} { perp( skol25, skol20, skol27,
% 123.61/124.07 skol26 ) }.
% 123.61/124.07 parent0[0]: (6) {G0,W10,D2,L2,V4,M2} I { ! perp( X, Y, Z, T ), perp( X, Y,
% 123.61/124.07 T, Z ) }.
% 123.61/124.07 parent1[0]: (371) {G3,W5,D2,L1,V0,M1} R(367,7) { perp( skol25, skol20,
% 123.61/124.07 skol26, skol27 ) }.
% 123.61/124.07 substitution0:
% 123.61/124.07 X := skol25
% 123.61/124.07 Y := skol20
% 123.61/124.07 Z := skol26
% 123.61/124.07 T := skol27
% 123.61/124.07 end
% 123.61/124.07 substitution1:
% 123.61/124.07 end
% 123.61/124.07
% 123.61/124.07 subsumption: (375) {G4,W5,D2,L1,V0,M1} R(371,6) { perp( skol25, skol20,
% 123.61/124.07 skol27, skol26 ) }.
% 123.61/124.07 parent0: (144996) {G1,W5,D2,L1,V0,M1} { perp( skol25, skol20, skol27,
% 123.61/124.07 skol26 ) }.
% 123.61/124.07 substitution0:
% 123.61/124.07 end
% 123.61/124.07 permutation0:
% 123.61/124.07 0 ==> 0
% 123.61/124.07 end
% 123.61/124.07
% 123.61/124.07 resolution: (144997) {G1,W5,D2,L1,V0,M1} { ! cyclic( skol23, skol24,
% 123.61/124.07 skol20, skol22 ) }.
% 123.61/124.07 parent0[0]: (127) {G0,W5,D2,L1,V0,M1} I { ! cyclic( skol23, skol24, skol22
% 123.61/124.07 , skol20 ) }.
% 123.61/124.07 parent1[1]: (13) {G0,W10,D2,L2,V4,M2} I { ! cyclic( X, Y, Z, T ), cyclic( X
% 123.61/124.07 , Y, T, Z ) }.
% 123.61/124.07 substitution0:
% 123.61/124.07 end
% 123.61/124.07 substitution1:
% 123.61/124.07 X := skol23
% 123.61/124.07 Y := skol24
% 123.61/124.07 Z := skol20
% 123.61/124.07 T := skol22
% 123.61/124.07 end
% 123.61/124.07
% 123.61/124.07 subsumption: (376) {G1,W5,D2,L1,V0,M1} R(13,127) { ! cyclic( skol23, skol24
% 123.61/124.07 , skol20, skol22 ) }.
% 123.61/124.07 parent0: (144997) {G1,W5,D2,L1,V0,M1} { ! cyclic( skol23, skol24, skol20,
% 123.61/124.07 skol22 ) }.
% 123.61/124.07 substitution0:
% 123.61/124.07 end
% 123.61/124.07 permutation0:
% 123.61/124.07 0 ==> 0
% 123.61/124.07 end
% 123.61/124.07
% 123.61/124.07 resolution: (144998) {G1,W10,D2,L2,V2,M2} { ! para( X, Y, skol25, skol20 )
% 123.61/124.07 , perp( X, Y, skol27, skol26 ) }.
% 123.61/124.07 parent0[1]: (9) {G0,W15,D2,L3,V6,M3} I { ! para( X, Y, U, W ), ! perp( U, W
% 123.61/124.07 , Z, T ), perp( X, Y, Z, T ) }.
% 123.61/124.07 parent1[0]: (375) {G4,W5,D2,L1,V0,M1} R(371,6) { perp( skol25, skol20,
% 123.61/124.07 skol27, skol26 ) }.
% 123.61/124.07 substitution0:
% 123.61/124.07 X := X
% 123.61/124.07 Y := Y
% 123.61/124.07 Z := skol27
% 123.61/124.07 T := skol26
% 123.61/124.07 U := skol25
% 123.61/124.07 W := skol20
% 123.61/124.07 end
% 123.61/124.07 substitution1:
% 123.61/124.07 end
% 123.61/124.07
% 123.61/124.07 subsumption: (377) {G5,W10,D2,L2,V2,M2} R(375,9) { ! para( X, Y, skol25,
% 123.61/124.07 skol20 ), perp( X, Y, skol27, skol26 ) }.
% 123.61/124.07 parent0: (144998) {G1,W10,D2,L2,V2,M2} { ! para( X, Y, skol25, skol20 ),
% 123.61/124.07 perp( X, Y, skol27, skol26 ) }.
% 123.61/124.07 substitution0:
% 123.61/124.07 X := X
% 123.61/124.07 Y := Y
% 123.61/124.07 end
% 123.61/124.07 permutation0:
% 123.61/124.07 0 ==> 0
% 123.61/124.07 1 ==> 1
% 123.61/124.07 end
% 123.61/124.07
% 123.61/124.07 resolution: (144999) {G1,W5,D2,L1,V0,M1} { perp( skol27, skol26, skol25,
% 123.61/124.07 skol20 ) }.
% 123.61/124.07 parent0[0]: (7) {G0,W10,D2,L2,V4,M2} I { ! perp( X, Y, Z, T ), perp( Z, T,
% 123.61/124.07 X, Y ) }.
% 123.61/124.07 parent1[0]: (375) {G4,W5,D2,L1,V0,M1} R(371,6) { perp( skol25, skol20,
% 123.61/124.07 skol27, skol26 ) }.
% 123.61/124.07 substitution0:
% 123.61/124.07 X := skol25
% 123.61/124.07 Y := skol20
% 123.61/124.07 Z := skol27
% 123.61/124.07 T := skol26
% 123.61/124.07 end
% 123.61/124.07 substitution1:
% 123.61/124.07 end
% 123.61/124.07
% 123.61/124.07 subsumption: (380) {G5,W5,D2,L1,V0,M1} R(375,7) { perp( skol27, skol26,
% 123.61/124.07 skol25, skol20 ) }.
% 123.61/124.07 parent0: (144999) {G1,W5,D2,L1,V0,M1} { perp( skol27, skol26, skol25,
% 123.61/124.07 skol20 ) }.
% 123.61/124.07 substitution0:
% 123.61/124.07 end
% 123.61/124.07 permutation0:
% 123.61/124.07 0 ==> 0
% 123.61/124.07 end
% 123.61/124.07
% 123.61/124.07 resolution: (145000) {G1,W10,D2,L2,V2,M2} { ! para( X, Y, skol27, skol26 )
% 123.61/124.07 , perp( X, Y, skol25, skol20 ) }.
% 123.61/124.07 parent0[1]: (9) {G0,W15,D2,L3,V6,M3} I { ! para( X, Y, U, W ), ! perp( U, W
% 123.61/124.07 , Z, T ), perp( X, Y, Z, T ) }.
% 123.61/124.07 parent1[0]: (380) {G5,W5,D2,L1,V0,M1} R(375,7) { perp( skol27, skol26,
% 123.61/124.07 skol25, skol20 ) }.
% 123.61/124.07 substitution0:
% 123.61/124.07 X := X
% 123.61/124.07 Y := Y
% 123.61/124.07 Z := skol25
% 123.61/124.07 T := skol20
% 123.61/124.07 U := skol27
% 123.61/124.07 W := skol26
% 123.61/124.07 end
% 123.61/124.07 substitution1:
% 123.61/124.07 end
% 123.61/124.07
% 123.61/124.07 subsumption: (381) {G6,W10,D2,L2,V2,M2} R(380,9) { ! para( X, Y, skol27,
% 123.61/124.07 skol26 ), perp( X, Y, skol25, skol20 ) }.
% 123.61/124.07 parent0: (145000) {G1,W10,D2,L2,V2,M2} { ! para( X, Y, skol27, skol26 ),
% 123.61/124.07 perp( X, Y, skol25, skol20 ) }.
% 123.61/124.07 substitution0:
% 123.61/124.07 X := X
% 123.61/124.07 Y := Y
% 123.61/124.07 end
% 123.61/124.07 permutation0:
% 123.61/124.07 0 ==> 0
% 123.61/124.07 1 ==> 1
% 123.61/124.07 end
% 123.61/124.07
% 123.61/124.07 resolution: (145002) {G1,W10,D2,L2,V4,M2} { cyclic( X, Y, T, Z ), ! cyclic
% 123.61/124.07 ( X, Z, Y, T ) }.
% 123.61/124.07 parent0[0]: (13) {G0,W10,D2,L2,V4,M2} I { ! cyclic( X, Y, Z, T ), cyclic( X
% 123.61/124.07 , Y, T, Z ) }.
% 123.61/124.07 parent1[1]: (14) {G0,W10,D2,L2,V4,M2} I { ! cyclic( X, Y, Z, T ), cyclic( X
% 123.61/124.07 , Z, Y, T ) }.
% 123.61/124.07 substitution0:
% 123.61/124.07 X := X
% 123.61/124.07 Y := Y
% 123.61/124.07 Z := Z
% 123.61/124.07 T := T
% 123.61/124.07 end
% 123.61/124.07 substitution1:
% 123.61/124.07 X := X
% 123.61/124.07 Y := Z
% 123.61/124.07 Z := Y
% 123.61/124.07 T := T
% 123.61/124.07 end
% 123.61/124.07
% 123.61/124.07 subsumption: (390) {G1,W10,D2,L2,V4,M2} R(14,13) { ! cyclic( X, Y, Z, T ),
% 123.61/124.07 cyclic( X, Z, T, Y ) }.
% 123.61/124.07 parent0: (145002) {G1,W10,D2,L2,V4,M2} { cyclic( X, Y, T, Z ), ! cyclic( X
% 123.61/124.07 , Z, Y, T ) }.
% 123.61/124.07 substitution0:
% 123.61/124.07 X := X
% 123.61/124.07 Y := Z
% 123.61/124.07 Z := Y
% 123.61/124.07 T := T
% 123.61/124.07 end
% 123.61/124.07 permutation0:
% 123.61/124.07 0 ==> 1
% 123.61/124.07 1 ==> 0
% 123.61/124.07 end
% 123.61/124.07
% 123.61/124.07 resolution: (145003) {G1,W10,D2,L2,V4,M2} { cyclic( Y, X, Z, T ), ! cyclic
% 123.61/124.07 ( X, Z, Y, T ) }.
% 123.61/124.07 parent0[0]: (15) {G0,W10,D2,L2,V4,M2} I { ! cyclic( X, Y, Z, T ), cyclic( Y
% 123.61/124.07 , X, Z, T ) }.
% 123.61/124.07 parent1[1]: (14) {G0,W10,D2,L2,V4,M2} I { ! cyclic( X, Y, Z, T ), cyclic( X
% 123.61/124.07 , Z, Y, T ) }.
% 123.61/124.07 substitution0:
% 123.61/124.07 X := X
% 123.61/124.07 Y := Y
% 123.61/124.07 Z := Z
% 123.61/124.07 T := T
% 123.61/124.07 end
% 123.61/124.07 substitution1:
% 123.61/124.07 X := X
% 123.61/124.07 Y := Z
% 123.61/124.07 Z := Y
% 123.61/124.07 T := T
% 123.61/124.07 end
% 123.61/124.07
% 123.61/124.07 subsumption: (398) {G1,W10,D2,L2,V4,M2} R(15,14) { cyclic( X, Y, Z, T ), !
% 123.61/124.07 cyclic( Y, Z, X, T ) }.
% 123.61/124.07 parent0: (145003) {G1,W10,D2,L2,V4,M2} { cyclic( Y, X, Z, T ), ! cyclic( X
% 123.61/124.07 , Z, Y, T ) }.
% 123.61/124.07 substitution0:
% 123.61/124.07 X := Y
% 123.61/124.07 Y := X
% 123.61/124.07 Z := Z
% 123.61/124.07 T := T
% 123.61/124.07 end
% 123.61/124.07 permutation0:
% 123.61/124.07 0 ==> 0
% 123.61/124.07 1 ==> 1
% 123.61/124.07 end
% 123.61/124.07
% 123.61/124.07 resolution: (145005) {G1,W10,D2,L2,V4,M2} { cyclic( X, Z, Y, T ), ! cyclic
% 123.61/124.07 ( Y, X, Z, T ) }.
% 123.61/124.07 parent0[0]: (14) {G0,W10,D2,L2,V4,M2} I { ! cyclic( X, Y, Z, T ), cyclic( X
% 123.61/124.07 , Z, Y, T ) }.
% 123.61/124.07 parent1[1]: (15) {G0,W10,D2,L2,V4,M2} I { ! cyclic( X, Y, Z, T ), cyclic( Y
% 123.61/124.07 , X, Z, T ) }.
% 123.61/124.07 substitution0:
% 123.61/124.07 X := X
% 123.61/124.07 Y := Y
% 123.61/124.07 Z := Z
% 123.61/124.07 T := T
% 123.61/124.07 end
% 123.61/124.07 substitution1:
% 123.61/124.07 X := Y
% 123.61/124.07 Y := X
% 123.61/124.07 Z := Z
% 123.61/124.07 T := T
% 123.61/124.07 end
% 123.61/124.07
% 123.61/124.07 subsumption: (399) {G1,W10,D2,L2,V4,M2} R(15,14) { ! cyclic( X, Y, Z, T ),
% 123.61/124.07 cyclic( Y, Z, X, T ) }.
% 123.61/124.07 parent0: (145005) {G1,W10,D2,L2,V4,M2} { cyclic( X, Z, Y, T ), ! cyclic( Y
% 123.61/124.07 , X, Z, T ) }.
% 123.61/124.07 substitution0:
% 123.61/124.07 X := Y
% 123.61/124.07 Y := X
% 123.61/124.07 Z := Z
% 123.61/124.07 T := T
% 123.61/124.07 end
% 123.61/124.07 permutation0:
% 123.61/124.07 0 ==> 1
% 123.61/124.07 1 ==> 0
% 123.61/124.07 end
% 123.61/124.07
% 123.61/124.07 resolution: (145006) {G1,W5,D2,L1,V0,M1} { ! cyclic( skol24, skol23,
% 123.61/124.07 skol20, skol22 ) }.
% 123.61/124.07 parent0[0]: (376) {G1,W5,D2,L1,V0,M1} R(13,127) { ! cyclic( skol23, skol24
% 123.61/124.07 , skol20, skol22 ) }.
% 123.61/124.07 parent1[1]: (15) {G0,W10,D2,L2,V4,M2} I { ! cyclic( X, Y, Z, T ), cyclic( Y
% 123.61/124.07 , X, Z, T ) }.
% 123.61/124.07 substitution0:
% 123.61/124.07 end
% 123.61/124.07 substitution1:
% 123.61/124.07 X := skol24
% 123.61/124.07 Y := skol23
% 123.61/124.07 Z := skol20
% 123.61/124.07 T := skol22
% 123.61/124.07 end
% 123.61/124.07
% 123.61/124.07 subsumption: (400) {G2,W5,D2,L1,V0,M1} R(15,376) { ! cyclic( skol24, skol23
% 123.61/124.07 , skol20, skol22 ) }.
% 123.61/124.07 parent0: (145006) {G1,W5,D2,L1,V0,M1} { ! cyclic( skol24, skol23, skol20,
% 123.61/124.07 skol22 ) }.
% 123.61/124.07 substitution0:
% 123.61/124.07 end
% 123.61/124.07 permutation0:
% 123.61/124.07 0 ==> 0
% 123.61/124.07 end
% 123.61/124.07
% 123.61/124.07 resolution: (145007) {G1,W10,D2,L2,V4,M2} { cyclic( Y, X, Z, T ), ! cyclic
% 123.61/124.07 ( X, Y, T, Z ) }.
% 123.61/124.07 parent0[0]: (15) {G0,W10,D2,L2,V4,M2} I { ! cyclic( X, Y, Z, T ), cyclic( Y
% 123.61/124.07 , X, Z, T ) }.
% 123.61/124.07 parent1[1]: (13) {G0,W10,D2,L2,V4,M2} I { ! cyclic( X, Y, Z, T ), cyclic( X
% 123.61/124.07 , Y, T, Z ) }.
% 123.61/124.07 substitution0:
% 123.61/124.07 X := X
% 123.61/124.07 Y := Y
% 123.61/124.07 Z := Z
% 123.61/124.07 T := T
% 123.61/124.07 end
% 123.61/124.07 substitution1:
% 123.61/124.07 X := X
% 123.61/124.07 Y := Y
% 123.61/124.07 Z := T
% 123.61/124.07 T := Z
% 123.61/124.07 end
% 123.61/124.07
% 123.61/124.07 subsumption: (401) {G1,W10,D2,L2,V4,M2} R(15,13) { cyclic( X, Y, Z, T ), !
% 123.61/124.07 cyclic( Y, X, T, Z ) }.
% 123.61/124.07 parent0: (145007) {G1,W10,D2,L2,V4,M2} { cyclic( Y, X, Z, T ), ! cyclic( X
% 123.61/124.07 , Y, T, Z ) }.
% 123.61/124.07 substitution0:
% 123.61/124.07 X := Y
% 123.61/124.07 Y := X
% 123.61/124.07 Z := Z
% 123.61/124.07 T := T
% 123.61/124.07 end
% 123.61/124.07 permutation0:
% 123.61/124.07 0 ==> 0
% 123.61/124.07 1 ==> 1
% 123.61/124.07 end
% 123.61/124.07
% 123.61/124.07 resolution: (145011) {G1,W15,D2,L3,V5,M3} { cyclic( Y, X, Z, T ), ! cyclic
% 123.61/124.07 ( U, X, Y, Z ), ! cyclic( U, X, Y, T ) }.
% 123.61/124.07 parent0[0]: (15) {G0,W10,D2,L2,V4,M2} I { ! cyclic( X, Y, Z, T ), cyclic( Y
% 123.61/124.07 , X, Z, T ) }.
% 123.61/124.07 parent1[2]: (16) {G0,W15,D2,L3,V5,M3} I { ! cyclic( U, X, Y, Z ), ! cyclic
% 123.61/124.07 ( U, X, Y, T ), cyclic( X, Y, Z, T ) }.
% 123.61/124.07 substitution0:
% 123.61/124.07 X := X
% 123.61/124.07 Y := Y
% 123.61/124.07 Z := Z
% 123.61/124.07 T := T
% 123.61/124.07 end
% 123.61/124.07 substitution1:
% 123.61/124.07 X := X
% 123.61/124.07 Y := Y
% 123.61/124.07 Z := Z
% 123.61/124.07 T := T
% 123.61/124.07 U := U
% 123.61/124.07 end
% 123.61/124.07
% 123.61/124.07 subsumption: (422) {G1,W15,D2,L3,V5,M3} R(16,15) { ! cyclic( X, Y, Z, T ),
% 123.61/124.07 ! cyclic( X, Y, Z, U ), cyclic( Z, Y, T, U ) }.
% 123.61/124.07 parent0: (145011) {G1,W15,D2,L3,V5,M3} { cyclic( Y, X, Z, T ), ! cyclic( U
% 123.61/124.07 , X, Y, Z ), ! cyclic( U, X, Y, T ) }.
% 123.61/124.07 substitution0:
% 123.61/124.07 X := Y
% 123.61/124.07 Y := Z
% 123.61/124.07 Z := T
% 123.61/124.07 T := U
% 123.61/124.07 U := X
% 123.61/124.07 end
% 123.61/124.07 permutation0:
% 123.61/124.07 0 ==> 2
% 123.61/124.07 1 ==> 0
% 123.61/124.07 2 ==> 1
% 123.61/124.07 end
% 123.61/124.07
% 123.61/124.07 resolution: (145014) {G1,W15,D2,L3,V5,M3} { ! cyclic( X, Y, Z, T ), cyclic
% 123.61/124.07 ( Y, Z, T, U ), ! cyclic( X, Y, U, Z ) }.
% 123.61/124.07 parent0[1]: (16) {G0,W15,D2,L3,V5,M3} I { ! cyclic( U, X, Y, Z ), ! cyclic
% 123.61/124.07 ( U, X, Y, T ), cyclic( X, Y, Z, T ) }.
% 123.61/124.07 parent1[1]: (13) {G0,W10,D2,L2,V4,M2} I { ! cyclic( X, Y, Z, T ), cyclic( X
% 123.61/124.07 , Y, T, Z ) }.
% 123.61/124.07 substitution0:
% 123.61/124.07 X := Y
% 123.61/124.07 Y := Z
% 123.61/124.07 Z := T
% 123.61/124.07 T := U
% 123.61/124.07 U := X
% 123.61/124.07 end
% 123.61/124.07 substitution1:
% 123.61/124.07 X := X
% 123.61/124.07 Y := Y
% 123.61/124.07 Z := U
% 123.61/124.07 T := Z
% 123.61/124.07 end
% 123.61/124.07
% 123.61/124.07 subsumption: (430) {G1,W15,D2,L3,V5,M3} R(16,13) { ! cyclic( X, Y, Z, T ),
% 123.61/124.07 cyclic( Y, Z, T, U ), ! cyclic( X, Y, U, Z ) }.
% 123.61/124.07 parent0: (145014) {G1,W15,D2,L3,V5,M3} { ! cyclic( X, Y, Z, T ), cyclic( Y
% 123.61/124.07 , Z, T, U ), ! cyclic( X, Y, U, Z ) }.
% 123.61/124.07 substitution0:
% 123.61/124.07 X := X
% 123.61/124.07 Y := Y
% 123.61/124.07 Z := Z
% 123.61/124.07 T := T
% 123.61/124.07 U := U
% 123.61/124.07 end
% 123.61/124.07 permutation0:
% 123.61/124.07 0 ==> 0
% 123.61/124.07 1 ==> 1
% 123.61/124.07 2 ==> 2
% 123.61/124.07 end
% 123.61/124.07
% 123.61/124.07 factor: (145016) {G1,W10,D2,L2,V4,M2} { ! cyclic( X, Y, Z, T ), cyclic( Z
% 123.61/124.07 , Y, T, T ) }.
% 123.61/124.07 parent0[0, 1]: (422) {G1,W15,D2,L3,V5,M3} R(16,15) { ! cyclic( X, Y, Z, T )
% 123.61/124.07 , ! cyclic( X, Y, Z, U ), cyclic( Z, Y, T, U ) }.
% 123.61/124.07 substitution0:
% 123.61/124.07 X := X
% 123.61/124.07 Y := Y
% 123.61/124.07 Z := Z
% 123.61/124.07 T := T
% 123.61/124.07 U := T
% 123.61/124.07 end
% 123.61/124.07
% 123.61/124.07 subsumption: (434) {G2,W10,D2,L2,V4,M2} F(422) { ! cyclic( X, Y, Z, T ),
% 123.61/124.07 cyclic( Z, Y, T, T ) }.
% 123.61/124.07 parent0: (145016) {G1,W10,D2,L2,V4,M2} { ! cyclic( X, Y, Z, T ), cyclic( Z
% 123.61/124.07 , Y, T, T ) }.
% 123.61/124.07 substitution0:
% 123.61/124.07 X := X
% 123.61/124.07 Y := Y
% 123.61/124.07 Z := Z
% 123.61/124.07 T := T
% 123.61/124.07 end
% 123.61/124.07 permutation0:
% 123.61/124.07 0 ==> 0
% 123.61/124.07 1 ==> 1
% 123.61/124.07 end
% 123.61/124.07
% 123.61/124.07 resolution: (145017) {G1,W10,D2,L2,V1,M2} { ! cyclic( X, skol24, skol23,
% 123.61/124.07 skol20 ), ! cyclic( X, skol24, skol23, skol22 ) }.
% 123.61/124.07 parent0[0]: (400) {G2,W5,D2,L1,V0,M1} R(15,376) { ! cyclic( skol24, skol23
% 123.61/124.07 , skol20, skol22 ) }.
% 123.61/124.07 parent1[2]: (16) {G0,W15,D2,L3,V5,M3} I { ! cyclic( U, X, Y, Z ), ! cyclic
% 123.61/124.07 ( U, X, Y, T ), cyclic( X, Y, Z, T ) }.
% 123.61/124.07 substitution0:
% 123.61/124.07 end
% 123.61/124.07 substitution1:
% 123.61/124.07 X := skol24
% 123.61/124.07 Y := skol23
% 123.61/124.07 Z := skol20
% 123.61/124.07 T := skol22
% 123.61/124.07 U := X
% 123.61/124.07 end
% 123.61/124.07
% 123.61/124.07 subsumption: (455) {G3,W10,D2,L2,V1,M2} R(400,16) { ! cyclic( X, skol24,
% 123.61/124.07 skol23, skol20 ), ! cyclic( X, skol24, skol23, skol22 ) }.
% 123.61/124.07 parent0: (145017) {G1,W10,D2,L2,V1,M2} { ! cyclic( X, skol24, skol23,
% 123.61/124.07 skol20 ), ! cyclic( X, skol24, skol23, skol22 ) }.
% 123.61/124.07 substitution0:
% 123.61/124.07 X := X
% 123.61/124.07 end
% 123.61/124.07 permutation0:
% 123.61/124.07 0 ==> 0
% 123.61/124.07 1 ==> 1
% 123.61/124.07 end
% 123.61/124.07
% 123.61/124.07 resolution: (145018) {G2,W4,D2,L1,V0,M1} { coll( skol29, skol27, skol29 )
% 123.61/124.07 }.
% 123.61/124.07 parent0[0]: (205) {G2,W8,D2,L2,V3,M2} F(200) { ! coll( X, Y, Z ), coll( Z,
% 123.61/124.07 X, Z ) }.
% 123.61/124.07 parent1[0]: (175) {G1,W4,D2,L1,V0,M1} R(1,123) { coll( skol27, skol22,
% 123.61/124.07 skol29 ) }.
% 123.61/124.07 substitution0:
% 123.61/124.07 X := skol27
% 123.61/124.07 Y := skol22
% 123.61/124.07 Z := skol29
% 123.61/124.07 end
% 123.61/124.07 substitution1:
% 123.61/124.07 end
% 123.61/124.07
% 123.61/124.07 subsumption: (472) {G3,W4,D2,L1,V0,M1} R(205,175) { coll( skol29, skol27,
% 123.61/124.07 skol29 ) }.
% 123.61/124.07 parent0: (145018) {G2,W4,D2,L1,V0,M1} { coll( skol29, skol27, skol29 ) }.
% 123.61/124.07 substitution0:
% 123.61/124.07 end
% 123.61/124.07 permutation0:
% 123.61/124.07 0 ==> 0
% 123.61/124.07 end
% 123.61/124.07
% 123.61/124.07 resolution: (145019) {G3,W4,D2,L1,V0,M1} { coll( skol27, skol29, skol27 )
% 123.61/124.07 }.
% 123.61/124.07 parent0[0]: (205) {G2,W8,D2,L2,V3,M2} F(200) { ! coll( X, Y, Z ), coll( Z,
% 123.61/124.07 X, Z ) }.
% 123.61/124.07 parent1[0]: (170) {G2,W4,D2,L1,V0,M1} R(1,166) { coll( skol29, skol22,
% 123.61/124.07 skol27 ) }.
% 123.61/124.07 substitution0:
% 123.61/124.07 X := skol29
% 123.61/124.07 Y := skol22
% 123.61/124.07 Z := skol27
% 123.61/124.07 end
% 123.61/124.07 substitution1:
% 123.61/124.07 end
% 123.61/124.07
% 123.61/124.07 subsumption: (479) {G3,W4,D2,L1,V0,M1} R(205,170) { coll( skol27, skol29,
% 123.61/124.07 skol27 ) }.
% 123.61/124.07 parent0: (145019) {G3,W4,D2,L1,V0,M1} { coll( skol27, skol29, skol27 ) }.
% 123.61/124.07 substitution0:
% 123.61/124.07 end
% 123.61/124.07 permutation0:
% 123.61/124.07 0 ==> 0
% 123.61/124.07 end
% 123.61/124.07
% 123.61/124.07 resolution: (145020) {G1,W12,D2,L3,V4,M3} { coll( Z, X, Z ), ! coll( Z, T
% 123.61/124.07 , X ), ! coll( Z, T, Y ) }.
% 123.61/124.07 parent0[0]: (205) {G2,W8,D2,L2,V3,M2} F(200) { ! coll( X, Y, Z ), coll( Z,
% 123.61/124.07 X, Z ) }.
% 123.61/124.07 parent1[2]: (2) {G0,W12,D2,L3,V4,M3} I { ! coll( X, T, Y ), ! coll( X, T, Z
% 123.61/124.07 ), coll( Y, Z, X ) }.
% 123.61/124.07 substitution0:
% 123.61/124.07 X := X
% 123.61/124.07 Y := Y
% 123.61/124.07 Z := Z
% 123.61/124.07 end
% 123.61/124.07 substitution1:
% 123.61/124.07 X := Z
% 123.61/124.07 Y := X
% 123.61/124.07 Z := Y
% 123.61/124.07 T := T
% 123.61/124.07 end
% 123.61/124.07
% 123.61/124.07 subsumption: (480) {G3,W12,D2,L3,V4,M3} R(205,2) { coll( X, Y, X ), ! coll
% 123.61/124.07 ( X, Z, Y ), ! coll( X, Z, T ) }.
% 123.61/124.07 parent0: (145020) {G1,W12,D2,L3,V4,M3} { coll( Z, X, Z ), ! coll( Z, T, X
% 123.61/124.07 ), ! coll( Z, T, Y ) }.
% 123.61/124.07 substitution0:
% 123.61/124.07 X := Y
% 123.61/124.07 Y := Y
% 123.61/124.07 Z := X
% 123.61/124.07 T := Z
% 123.61/124.07 end
% 123.61/124.07 permutation0:
% 123.61/124.07 0 ==> 0
% 123.61/124.07 1 ==> 1
% 123.61/124.07 2 ==> 1
% 123.61/124.07 end
% 123.61/124.07
% 123.61/124.07 factor: (145022) {G3,W8,D2,L2,V3,M2} { coll( X, Y, X ), ! coll( X, Z, Y )
% 123.61/124.07 }.
% 123.61/124.07 parent0[1, 2]: (480) {G3,W12,D2,L3,V4,M3} R(205,2) { coll( X, Y, X ), !
% 123.61/124.07 coll( X, Z, Y ), ! coll( X, Z, T ) }.
% 123.61/124.07 substitution0:
% 123.61/124.07 X := X
% 123.61/124.07 Y := Y
% 123.61/124.07 Z := Z
% 123.61/124.07 T := Y
% 123.61/124.07 end
% 123.61/124.07
% 123.61/124.07 subsumption: (495) {G4,W8,D2,L2,V3,M2} F(480) { coll( X, Y, X ), ! coll( X
% 123.61/124.07 , Z, Y ) }.
% 123.61/124.07 parent0: (145022) {G3,W8,D2,L2,V3,M2} { coll( X, Y, X ), ! coll( X, Z, Y )
% 123.61/124.07 }.
% 123.61/124.07 substitution0:
% 123.61/124.07 X := X
% 123.61/124.07 Y := Y
% 123.61/124.07 Z := Z
% 123.61/124.07 end
% 123.61/124.07 permutation0:
% 123.61/124.07 0 ==> 0
% 123.61/124.07 1 ==> 1
% 123.61/124.07 end
% 123.61/124.07
% 123.61/124.07 resolution: (145023) {G1,W10,D2,L2,V4,M2} { cong( Z, T, X, Y ), ! cong( X
% 123.61/124.07 , Y, T, Z ) }.
% 123.61/124.07 parent0[0]: (23) {G0,W10,D2,L2,V4,M2} I { ! cong( X, Y, Z, T ), cong( Z, T
% 123.61/124.07 , X, Y ) }.
% 123.61/124.07 parent1[1]: (22) {G0,W10,D2,L2,V4,M2} I { ! cong( X, Y, Z, T ), cong( X, Y
% 123.61/124.07 , T, Z ) }.
% 123.61/124.07 substitution0:
% 123.61/124.07 X := X
% 123.61/124.07 Y := Y
% 123.61/124.07 Z := Z
% 123.61/124.07 T := T
% 123.61/124.07 end
% 123.61/124.07 substitution1:
% 123.61/124.07 X := X
% 123.61/124.07 Y := Y
% 123.61/124.07 Z := T
% 123.61/124.07 T := Z
% 123.61/124.07 end
% 123.61/124.07
% 123.61/124.07 subsumption: (542) {G1,W10,D2,L2,V4,M2} R(23,22) { cong( X, Y, Z, T ), !
% 123.61/124.07 cong( Z, T, Y, X ) }.
% 123.61/124.07 parent0: (145023) {G1,W10,D2,L2,V4,M2} { cong( Z, T, X, Y ), ! cong( X, Y
% 123.61/124.07 , T, Z ) }.
% 123.61/124.07 substitution0:
% 123.61/124.07 X := Z
% 123.61/124.07 Y := T
% 123.61/124.07 Z := X
% 123.61/124.07 T := Y
% 123.61/124.07 end
% 123.61/124.07 permutation0:
% 123.61/124.07 0 ==> 0
% 123.61/124.07 1 ==> 1
% 123.61/124.07 end
% 123.61/124.07
% 123.61/124.07 resolution: (145025) {G1,W20,D2,L4,V5,M4} { ! cong( X, Y, X, Z ), ! cong(
% 123.61/124.07 X, Y, X, U ), cyclic( Y, Z, T, U ), ! cong( X, T, X, Y ) }.
% 123.61/124.07 parent0[1]: (12) {G0,W20,D2,L4,V5,M4} I { ! cong( U, X, U, Y ), ! cong( U,
% 123.61/124.07 X, U, Z ), ! cong( U, X, U, T ), cyclic( X, Y, Z, T ) }.
% 123.61/124.07 parent1[1]: (23) {G0,W10,D2,L2,V4,M2} I { ! cong( X, Y, Z, T ), cong( Z, T
% 123.61/124.07 , X, Y ) }.
% 123.61/124.07 substitution0:
% 123.61/124.07 X := Y
% 123.61/124.07 Y := Z
% 123.61/124.07 Z := T
% 123.61/124.07 T := U
% 123.61/124.07 U := X
% 123.61/124.07 end
% 123.61/124.07 substitution1:
% 123.61/124.07 X := X
% 123.61/124.07 Y := T
% 123.61/124.07 Z := X
% 123.61/124.07 T := Y
% 123.61/124.07 end
% 123.61/124.07
% 123.61/124.07 subsumption: (545) {G1,W20,D2,L4,V5,M4} R(23,12) { ! cong( X, Y, X, Z ), !
% 123.61/124.07 cong( X, Z, X, T ), ! cong( X, Z, X, U ), cyclic( Z, T, Y, U ) }.
% 123.61/124.07 parent0: (145025) {G1,W20,D2,L4,V5,M4} { ! cong( X, Y, X, Z ), ! cong( X,
% 123.61/124.07 Y, X, U ), cyclic( Y, Z, T, U ), ! cong( X, T, X, Y ) }.
% 123.61/124.07 substitution0:
% 123.61/124.07 X := X
% 123.61/124.07 Y := Z
% 123.61/124.07 Z := T
% 123.61/124.07 T := Y
% 123.61/124.07 U := U
% 123.61/124.07 end
% 123.61/124.07 permutation0:
% 123.61/124.07 0 ==> 1
% 123.61/124.07 1 ==> 2
% 123.61/124.07 2 ==> 3
% 123.61/124.07 3 ==> 0
% 123.61/124.07 end
% 123.61/124.07
% 123.61/124.07 resolution: (145036) {G1,W20,D2,L4,V5,M4} { ! cong( X, Y, X, Z ), ! cong(
% 123.61/124.07 X, Y, X, T ), cyclic( Y, Z, T, U ), ! cong( X, U, X, Y ) }.
% 123.61/124.07 parent0[2]: (12) {G0,W20,D2,L4,V5,M4} I { ! cong( U, X, U, Y ), ! cong( U,
% 123.61/124.07 X, U, Z ), ! cong( U, X, U, T ), cyclic( X, Y, Z, T ) }.
% 123.61/124.07 parent1[1]: (23) {G0,W10,D2,L2,V4,M2} I { ! cong( X, Y, Z, T ), cong( Z, T
% 123.61/124.07 , X, Y ) }.
% 123.61/124.07 substitution0:
% 123.61/124.07 X := Y
% 123.61/124.07 Y := Z
% 123.61/124.07 Z := T
% 123.61/124.07 T := U
% 123.61/124.07 U := X
% 123.61/124.07 end
% 123.61/124.07 substitution1:
% 123.61/124.07 X := X
% 123.61/124.07 Y := U
% 123.61/124.07 Z := X
% 123.61/124.07 T := Y
% 123.61/124.07 end
% 123.61/124.07
% 123.61/124.07 subsumption: (546) {G1,W20,D2,L4,V5,M4} R(23,12) { ! cong( X, Y, X, Z ), !
% 123.61/124.07 cong( X, Z, X, T ), ! cong( X, Z, X, U ), cyclic( Z, T, U, Y ) }.
% 123.61/124.07 parent0: (145036) {G1,W20,D2,L4,V5,M4} { ! cong( X, Y, X, Z ), ! cong( X,
% 123.61/124.07 Y, X, T ), cyclic( Y, Z, T, U ), ! cong( X, U, X, Y ) }.
% 123.61/124.07 substitution0:
% 123.61/124.07 X := X
% 123.61/124.07 Y := Z
% 123.61/124.07 Z := T
% 123.61/124.07 T := U
% 123.61/124.07 U := Y
% 123.61/124.07 end
% 123.61/124.07 permutation0:
% 123.61/124.07 0 ==> 1
% 123.61/124.07 1 ==> 2
% 123.61/124.07 2 ==> 3
% 123.61/124.07 3 ==> 0
% 123.61/124.07 end
% 123.61/124.07
% 123.61/124.07 resolution: (145044) {G1,W4,D2,L1,V0,M1} { coll( skol27, skol27, skol29 )
% 123.61/124.07 }.
% 123.61/124.07 parent0[0]: (0) {G0,W8,D2,L2,V3,M2} I { ! coll( X, Y, Z ), coll( X, Z, Y )
% 123.61/124.07 }.
% 123.61/124.07 parent1[0]: (479) {G3,W4,D2,L1,V0,M1} R(205,170) { coll( skol27, skol29,
% 123.61/124.07 skol27 ) }.
% 123.61/124.07 substitution0:
% 123.61/124.07 X := skol27
% 123.61/124.07 Y := skol29
% 123.61/124.07 Z := skol27
% 123.61/124.07 end
% 123.61/124.07 substitution1:
% 123.61/124.07 end
% 123.61/124.07
% 123.61/124.07 subsumption: (711) {G4,W4,D2,L1,V0,M1} R(479,0) { coll( skol27, skol27,
% 123.61/124.07 skol29 ) }.
% 123.61/124.07 parent0: (145044) {G1,W4,D2,L1,V0,M1} { coll( skol27, skol27, skol29 ) }.
% 123.61/124.07 substitution0:
% 123.61/124.07 end
% 123.61/124.07 permutation0:
% 123.61/124.07 0 ==> 0
% 123.61/124.07 end
% 123.61/124.07
% 123.61/124.07 resolution: (145045) {G1,W25,D2,L5,V4,M5} { ! cyclic( X, Y, Z, T ), !
% 123.61/124.07 cyclic( X, Y, Z, Y ), ! cyclic( X, Y, Z, Z ), cong( X, Y, T, Y ), ! para
% 123.61/124.07 ( Z, X, Z, T ) }.
% 123.61/124.07 parent0[3]: (43) {G0,W29,D2,L5,V6,M5} I { ! cyclic( X, Y, U, Z ), ! cyclic
% 123.61/124.07 ( X, Y, U, T ), ! cyclic( X, Y, U, W ), ! eqangle( U, X, U, Y, W, Z, W, T
% 123.61/124.07 ), cong( X, Y, Z, T ) }.
% 123.61/124.07 parent1[1]: (39) {G0,W14,D2,L2,V6,M2} I { ! para( X, Y, Z, T ), eqangle( X
% 123.61/124.07 , Y, U, W, Z, T, U, W ) }.
% 123.61/124.07 substitution0:
% 123.61/124.07 X := X
% 123.61/124.07 Y := Y
% 123.61/124.07 Z := T
% 123.61/124.07 T := Y
% 123.61/124.07 U := Z
% 123.61/124.07 W := Z
% 123.61/124.07 end
% 123.61/124.07 substitution1:
% 123.61/124.07 X := Z
% 123.61/124.07 Y := X
% 123.61/124.07 Z := Z
% 123.61/124.07 T := T
% 123.61/124.07 U := Z
% 123.61/124.07 W := Y
% 123.61/124.07 end
% 123.61/124.07
% 123.61/124.07 subsumption: (1021) {G1,W25,D2,L5,V4,M5} R(43,39) { ! cyclic( X, Y, Z, T )
% 123.61/124.07 , ! cyclic( X, Y, Z, Y ), ! cyclic( X, Y, Z, Z ), cong( X, Y, T, Y ), !
% 123.61/124.07 para( Z, X, Z, T ) }.
% 123.61/124.07 parent0: (145045) {G1,W25,D2,L5,V4,M5} { ! cyclic( X, Y, Z, T ), ! cyclic
% 123.61/124.07 ( X, Y, Z, Y ), ! cyclic( X, Y, Z, Z ), cong( X, Y, T, Y ), ! para( Z, X
% 123.61/124.07 , Z, T ) }.
% 123.61/124.07 substitution0:
% 123.61/124.07 X := X
% 123.61/124.07 Y := Y
% 123.61/124.07 Z := Z
% 123.61/124.07 T := T
% 123.61/124.07 end
% 123.61/124.07 permutation0:
% 123.61/124.07 0 ==> 0
% 123.61/124.07 1 ==> 1
% 123.61/124.07 2 ==> 2
% 123.61/124.07 3 ==> 3
% 123.61/124.07 4 ==> 4
% 123.61/124.07 end
% 123.61/124.07
% 123.61/124.07 resolution: (145051) {G1,W8,D2,L2,V3,M2} { coll( Y, X, X ), ! coll( X, Z,
% 123.61/124.07 Y ) }.
% 123.61/124.07 parent0[0]: (1) {G0,W8,D2,L2,V3,M2} I { ! coll( X, Y, Z ), coll( Y, X, Z )
% 123.61/124.07 }.
% 123.61/124.07 parent1[0]: (495) {G4,W8,D2,L2,V3,M2} F(480) { coll( X, Y, X ), ! coll( X,
% 123.61/124.07 Z, Y ) }.
% 123.61/124.07 substitution0:
% 123.61/124.07 X := X
% 123.61/124.07 Y := Y
% 123.61/124.07 Z := X
% 123.61/124.07 end
% 123.61/124.07 substitution1:
% 123.61/124.07 X := X
% 123.61/124.07 Y := Y
% 123.61/124.07 Z := Z
% 123.61/124.07 end
% 123.61/124.07
% 123.61/124.07 subsumption: (1245) {G5,W8,D2,L2,V3,M2} R(495,1) { ! coll( X, Y, Z ), coll
% 123.61/124.07 ( Z, X, X ) }.
% 123.61/124.07 parent0: (145051) {G1,W8,D2,L2,V3,M2} { coll( Y, X, X ), ! coll( X, Z, Y )
% 123.61/124.07 }.
% 123.61/124.07 substitution0:
% 123.61/124.07 X := X
% 123.61/124.07 Y := Z
% 123.61/124.07 Z := Y
% 123.61/124.07 end
% 123.61/124.07 permutation0:
% 123.61/124.07 0 ==> 1
% 123.61/124.07 1 ==> 0
% 123.61/124.07 end
% 123.61/124.07
% 123.61/124.07 resolution: (145052) {G1,W8,D2,L2,V3,M2} { coll( Z, X, X ), ! coll( Y, X,
% 123.61/124.07 Z ) }.
% 123.61/124.07 parent0[0]: (1245) {G5,W8,D2,L2,V3,M2} R(495,1) { ! coll( X, Y, Z ), coll(
% 123.61/124.07 Z, X, X ) }.
% 123.61/124.07 parent1[1]: (1) {G0,W8,D2,L2,V3,M2} I { ! coll( X, Y, Z ), coll( Y, X, Z )
% 123.61/124.07 }.
% 123.61/124.07 substitution0:
% 123.61/124.07 X := X
% 123.61/124.07 Y := Y
% 123.61/124.07 Z := Z
% 123.61/124.07 end
% 123.61/124.07 substitution1:
% 123.61/124.07 X := Y
% 123.61/124.07 Y := X
% 123.61/124.07 Z := Z
% 123.61/124.07 end
% 123.61/124.07
% 123.61/124.07 subsumption: (1250) {G6,W8,D2,L2,V3,M2} R(1245,1) { coll( X, Y, Y ), ! coll
% 123.61/124.07 ( Z, Y, X ) }.
% 123.61/124.07 parent0: (145052) {G1,W8,D2,L2,V3,M2} { coll( Z, X, X ), ! coll( Y, X, Z )
% 123.61/124.07 }.
% 123.61/124.07 substitution0:
% 123.61/124.07 X := Y
% 123.61/124.07 Y := Z
% 123.61/124.07 Z := X
% 123.61/124.07 end
% 123.61/124.07 permutation0:
% 123.61/124.07 0 ==> 0
% 123.61/124.07 1 ==> 1
% 123.61/124.07 end
% 123.61/124.07
% 123.61/124.07 resolution: (145053) {G1,W8,D2,L2,V3,M2} { coll( Z, X, X ), ! coll( X, Z,
% 123.61/124.07 Y ) }.
% 123.61/124.07 parent0[0]: (1245) {G5,W8,D2,L2,V3,M2} R(495,1) { ! coll( X, Y, Z ), coll(
% 123.61/124.07 Z, X, X ) }.
% 123.61/124.07 parent1[1]: (0) {G0,W8,D2,L2,V3,M2} I { ! coll( X, Y, Z ), coll( X, Z, Y )
% 123.61/124.07 }.
% 123.61/124.07 substitution0:
% 123.61/124.07 X := X
% 123.61/124.07 Y := Y
% 123.61/124.07 Z := Z
% 123.61/124.07 end
% 123.61/124.07 substitution1:
% 123.61/124.07 X := X
% 123.61/124.07 Y := Z
% 123.61/124.07 Z := Y
% 123.61/124.07 end
% 123.61/124.07
% 123.61/124.07 subsumption: (1251) {G6,W8,D2,L2,V3,M2} R(1245,0) { coll( X, Y, Y ), ! coll
% 123.61/124.07 ( Y, X, Z ) }.
% 123.61/124.07 parent0: (145053) {G1,W8,D2,L2,V3,M2} { coll( Z, X, X ), ! coll( X, Z, Y )
% 123.61/124.07 }.
% 123.61/124.07 substitution0:
% 123.61/124.07 X := Y
% 123.61/124.07 Y := Z
% 123.61/124.07 Z := X
% 123.61/124.07 end
% 123.61/124.07 permutation0:
% 123.61/124.07 0 ==> 0
% 123.61/124.07 1 ==> 1
% 123.61/124.07 end
% 123.61/124.07
% 123.61/124.07 resolution: (145054) {G7,W8,D2,L2,V3,M2} { coll( X, Y, Y ), ! coll( X, Y,
% 123.61/124.07 Z ) }.
% 123.61/124.07 parent0[1]: (1251) {G6,W8,D2,L2,V3,M2} R(1245,0) { coll( X, Y, Y ), ! coll
% 123.61/124.07 ( Y, X, Z ) }.
% 123.61/124.07 parent1[0]: (1251) {G6,W8,D2,L2,V3,M2} R(1245,0) { coll( X, Y, Y ), ! coll
% 123.61/124.07 ( Y, X, Z ) }.
% 123.61/124.07 substitution0:
% 123.61/124.07 X := X
% 123.61/124.07 Y := Y
% 123.61/124.07 Z := X
% 123.61/124.07 end
% 123.61/124.07 substitution1:
% 123.61/124.07 X := Y
% 123.61/124.07 Y := X
% 123.61/124.07 Z := Z
% 123.61/124.07 end
% 123.61/124.07
% 123.61/124.07 subsumption: (1266) {G7,W8,D2,L2,V3,M2} R(1251,1251) { ! coll( X, Y, Z ),
% 123.61/124.07 coll( X, Y, Y ) }.
% 123.61/124.07 parent0: (145054) {G7,W8,D2,L2,V3,M2} { coll( X, Y, Y ), ! coll( X, Y, Z )
% 123.61/124.07 }.
% 123.61/124.07 substitution0:
% 123.61/124.07 X := X
% 123.61/124.07 Y := Y
% 123.61/124.07 Z := Z
% 123.61/124.07 end
% 123.61/124.07 permutation0:
% 123.61/124.07 0 ==> 1
% 123.61/124.07 1 ==> 0
% 123.61/124.07 end
% 123.61/124.07
% 123.61/124.07 resolution: (145058) {G1,W12,D2,L3,V4,M3} { ! coll( X, Y, Z ), coll( Z, Y
% 123.61/124.07 , X ), ! coll( X, Y, T ) }.
% 123.61/124.07 parent0[1]: (2) {G0,W12,D2,L3,V4,M3} I { ! coll( X, T, Y ), ! coll( X, T, Z
% 123.61/124.07 ), coll( Y, Z, X ) }.
% 123.61/124.07 parent1[1]: (1266) {G7,W8,D2,L2,V3,M2} R(1251,1251) { ! coll( X, Y, Z ),
% 123.61/124.07 coll( X, Y, Y ) }.
% 123.61/124.07 substitution0:
% 123.61/124.07 X := X
% 123.61/124.07 Y := Z
% 123.61/124.07 Z := Y
% 123.61/124.07 T := Y
% 123.61/124.07 end
% 123.61/124.07 substitution1:
% 123.61/124.07 X := X
% 123.61/124.07 Y := Y
% 123.61/124.07 Z := T
% 123.61/124.07 end
% 123.61/124.07
% 123.61/124.07 subsumption: (1269) {G8,W12,D2,L3,V4,M3} R(1266,2) { ! coll( X, Y, Z ), !
% 123.61/124.07 coll( X, Y, T ), coll( T, Y, X ) }.
% 123.61/124.07 parent0: (145058) {G1,W12,D2,L3,V4,M3} { ! coll( X, Y, Z ), coll( Z, Y, X
% 123.61/124.07 ), ! coll( X, Y, T ) }.
% 123.61/124.07 substitution0:
% 123.61/124.07 X := X
% 123.61/124.07 Y := Y
% 123.61/124.07 Z := T
% 123.61/124.07 T := Z
% 123.61/124.07 end
% 123.61/124.07 permutation0:
% 123.61/124.07 0 ==> 1
% 123.61/124.07 1 ==> 2
% 123.61/124.07 2 ==> 0
% 123.61/124.07 end
% 123.61/124.07
% 123.61/124.07 factor: (145061) {G8,W8,D2,L2,V3,M2} { ! coll( X, Y, Z ), coll( Z, Y, X )
% 123.61/124.07 }.
% 123.61/124.07 parent0[0, 1]: (1269) {G8,W12,D2,L3,V4,M3} R(1266,2) { ! coll( X, Y, Z ), !
% 123.61/124.07 coll( X, Y, T ), coll( T, Y, X ) }.
% 123.61/124.07 substitution0:
% 123.61/124.07 X := X
% 123.61/124.07 Y := Y
% 123.61/124.07 Z := Z
% 123.61/124.07 T := Z
% 123.61/124.07 end
% 123.61/124.07
% 123.61/124.07 subsumption: (1270) {G9,W8,D2,L2,V3,M2} F(1269) { ! coll( X, Y, Z ), coll(
% 123.61/124.07 Z, Y, X ) }.
% 123.61/124.07 parent0: (145061) {G8,W8,D2,L2,V3,M2} { ! coll( X, Y, Z ), coll( Z, Y, X )
% 123.61/124.07 }.
% 123.61/124.07 substitution0:
% 123.61/124.07 X := X
% 123.61/124.07 Y := Y
% 123.61/124.07 Z := Z
% 123.61/124.07 end
% 123.61/124.07 permutation0:
% 123.61/124.07 0 ==> 0
% 123.61/124.07 1 ==> 1
% 123.61/124.07 end
% 123.61/124.07
% 123.61/124.07 resolution: (145062) {G7,W8,D2,L2,V3,M2} { coll( Y, Y, X ), ! coll( Z, Y,
% 123.61/124.07 X ) }.
% 123.61/124.07 parent0[0]: (1270) {G9,W8,D2,L2,V3,M2} F(1269) { ! coll( X, Y, Z ), coll( Z
% 123.61/124.07 , Y, X ) }.
% 123.61/124.07 parent1[0]: (1250) {G6,W8,D2,L2,V3,M2} R(1245,1) { coll( X, Y, Y ), ! coll
% 123.61/124.07 ( Z, Y, X ) }.
% 123.61/124.07 substitution0:
% 123.61/124.07 X := X
% 123.61/124.07 Y := Y
% 123.61/124.07 Z := Y
% 123.61/124.07 end
% 123.61/124.07 substitution1:
% 123.61/124.07 X := X
% 123.61/124.07 Y := Y
% 123.61/124.07 Z := Z
% 123.61/124.07 end
% 123.61/124.07
% 123.61/124.07 subsumption: (1274) {G10,W8,D2,L2,V3,M2} R(1270,1250) { coll( X, X, Y ), !
% 123.61/124.07 coll( Z, X, Y ) }.
% 123.61/124.07 parent0: (145062) {G7,W8,D2,L2,V3,M2} { coll( Y, Y, X ), ! coll( Z, Y, X )
% 123.61/124.07 }.
% 123.61/124.07 substitution0:
% 123.61/124.07 X := Y
% 123.61/124.07 Y := X
% 123.61/124.07 Z := Z
% 123.61/124.07 end
% 123.61/124.07 permutation0:
% 123.61/124.07 0 ==> 0
% 123.61/124.07 1 ==> 1
% 123.61/124.07 end
% 123.61/124.07
% 123.61/124.07 resolution: (145063) {G1,W8,D2,L2,V3,M2} { coll( X, X, Y ), ! midp( Z, X,
% 123.61/124.07 Y ) }.
% 123.61/124.07 parent0[1]: (1274) {G10,W8,D2,L2,V3,M2} R(1270,1250) { coll( X, X, Y ), !
% 123.61/124.07 coll( Z, X, Y ) }.
% 123.61/124.07 parent1[1]: (69) {G0,W8,D2,L2,V3,M2} I { ! midp( X, Y, Z ), coll( X, Y, Z )
% 123.61/124.07 }.
% 123.61/124.07 substitution0:
% 123.61/124.07 X := X
% 123.61/124.07 Y := Y
% 123.61/124.07 Z := Z
% 123.61/124.07 end
% 123.61/124.07 substitution1:
% 123.61/124.07 X := Z
% 123.61/124.07 Y := X
% 123.61/124.07 Z := Y
% 123.61/124.07 end
% 123.61/124.07
% 123.61/124.07 subsumption: (1352) {G11,W8,D2,L2,V3,M2} R(69,1274) { ! midp( X, Y, Z ),
% 123.61/124.07 coll( Y, Y, Z ) }.
% 123.61/124.07 parent0: (145063) {G1,W8,D2,L2,V3,M2} { coll( X, X, Y ), ! midp( Z, X, Y )
% 123.61/124.07 }.
% 123.61/124.07 substitution0:
% 123.61/124.07 X := Y
% 123.61/124.07 Y := Z
% 123.61/124.07 Z := X
% 123.61/124.07 end
% 123.61/124.07 permutation0:
% 123.61/124.07 0 ==> 1
% 123.61/124.07 1 ==> 0
% 123.61/124.07 end
% 123.61/124.07
% 123.61/124.07 resolution: (145064) {G1,W8,D2,L2,V3,M2} { coll( Z, Y, X ), ! midp( X, Y,
% 123.61/124.07 Z ) }.
% 123.61/124.07 parent0[0]: (1270) {G9,W8,D2,L2,V3,M2} F(1269) { ! coll( X, Y, Z ), coll( Z
% 123.61/124.07 , Y, X ) }.
% 123.61/124.07 parent1[1]: (69) {G0,W8,D2,L2,V3,M2} I { ! midp( X, Y, Z ), coll( X, Y, Z )
% 123.61/124.07 }.
% 123.61/124.07 substitution0:
% 123.61/124.07 X := X
% 123.61/124.07 Y := Y
% 123.61/124.07 Z := Z
% 123.61/124.07 end
% 123.61/124.07 substitution1:
% 123.61/124.07 X := X
% 123.61/124.07 Y := Y
% 123.61/124.07 Z := Z
% 123.61/124.07 end
% 123.61/124.07
% 123.61/124.07 subsumption: (1356) {G10,W8,D2,L2,V3,M2} R(69,1270) { ! midp( X, Y, Z ),
% 123.61/124.07 coll( Z, Y, X ) }.
% 123.61/124.07 parent0: (145064) {G1,W8,D2,L2,V3,M2} { coll( Z, Y, X ), ! midp( X, Y, Z )
% 123.61/124.07 }.
% 123.61/124.07 substitution0:
% 123.61/124.07 X := X
% 123.61/124.07 Y := Y
% 123.61/124.07 Z := Z
% 123.61/124.07 end
% 123.61/124.07 permutation0:
% 123.61/124.07 0 ==> 1
% 123.61/124.07 1 ==> 0
% 123.61/124.07 end
% 123.61/124.07
% 123.61/124.07 resolution: (145065) {G1,W8,D2,L2,V3,M2} { coll( Y, X, Z ), ! midp( X, Y,
% 123.61/124.07 Z ) }.
% 123.61/124.07 parent0[0]: (1) {G0,W8,D2,L2,V3,M2} I { ! coll( X, Y, Z ), coll( Y, X, Z )
% 123.61/124.07 }.
% 123.61/124.07 parent1[1]: (69) {G0,W8,D2,L2,V3,M2} I { ! midp( X, Y, Z ), coll( X, Y, Z )
% 123.61/124.07 }.
% 123.61/124.07 substitution0:
% 123.61/124.07 X := X
% 123.61/124.07 Y := Y
% 123.61/124.07 Z := Z
% 123.61/124.07 end
% 123.61/124.07 substitution1:
% 123.61/124.07 X := X
% 123.61/124.07 Y := Y
% 123.61/124.07 Z := Z
% 123.61/124.07 end
% 123.61/124.07
% 123.61/124.07 subsumption: (1374) {G1,W8,D2,L2,V3,M2} R(69,1) { ! midp( X, Y, Z ), coll(
% 123.61/124.07 Y, X, Z ) }.
% 123.61/124.07 parent0: (145065) {G1,W8,D2,L2,V3,M2} { coll( Y, X, Z ), ! midp( X, Y, Z )
% 123.61/124.07 }.
% 123.61/124.07 substitution0:
% 123.61/124.07 X := X
% 123.61/124.07 Y := Y
% 123.61/124.07 Z := Z
% 123.61/124.07 end
% 123.61/124.07 permutation0:
% 123.61/124.07 0 ==> 1
% 123.61/124.07 1 ==> 0
% 123.61/124.07 end
% 123.61/124.07
% 123.61/124.07 resolution: (145066) {G1,W4,D2,L1,V0,M1} { coll( skol24, skol29, skol27 )
% 123.61/124.07 }.
% 123.61/124.07 parent0[0]: (69) {G0,W8,D2,L2,V3,M2} I { ! midp( X, Y, Z ), coll( X, Y, Z )
% 123.61/124.07 }.
% 123.61/124.07 parent1[0]: (126) {G0,W4,D2,L1,V0,M1} I { midp( skol24, skol29, skol27 )
% 123.61/124.07 }.
% 123.61/124.07 substitution0:
% 123.61/124.07 X := skol24
% 123.61/124.07 Y := skol29
% 123.61/124.07 Z := skol27
% 123.61/124.07 end
% 123.61/124.07 substitution1:
% 123.61/124.07 end
% 123.61/124.07
% 123.61/124.07 subsumption: (1377) {G1,W4,D2,L1,V0,M1} R(69,126) { coll( skol24, skol29,
% 123.61/124.07 skol27 ) }.
% 123.61/124.07 parent0: (145066) {G1,W4,D2,L1,V0,M1} { coll( skol24, skol29, skol27 ) }.
% 123.61/124.07 substitution0:
% 123.61/124.07 end
% 123.61/124.07 permutation0:
% 123.61/124.07 0 ==> 0
% 123.61/124.07 end
% 123.61/124.07
% 123.61/124.07 resolution: (145067) {G1,W14,D2,L3,V4,M3} { ! midp( X, Y, Z ), cong( T, Y
% 123.61/124.07 , T, Z ), ! perp( Y, Z, T, X ) }.
% 123.61/124.07 parent0[1]: (55) {G0,W14,D2,L3,V4,M3} I { ! midp( T, X, Y ), ! perp( Z, T,
% 123.61/124.07 X, Y ), cong( Z, X, Z, Y ) }.
% 123.61/124.07 parent1[1]: (7) {G0,W10,D2,L2,V4,M2} I { ! perp( X, Y, Z, T ), perp( Z, T,
% 123.61/124.07 X, Y ) }.
% 123.61/124.07 substitution0:
% 123.61/124.07 X := Y
% 123.61/124.07 Y := Z
% 123.61/124.07 Z := T
% 123.61/124.07 T := X
% 123.61/124.07 end
% 123.61/124.07 substitution1:
% 123.61/124.07 X := Y
% 123.61/124.07 Y := Z
% 123.61/124.07 Z := T
% 123.61/124.07 T := X
% 123.61/124.07 end
% 123.61/124.07
% 123.61/124.07 subsumption: (1789) {G1,W14,D2,L3,V4,M3} R(55,7) { ! midp( X, Y, Z ), cong
% 123.61/124.07 ( T, Y, T, Z ), ! perp( Y, Z, T, X ) }.
% 123.61/124.07 parent0: (145067) {G1,W14,D2,L3,V4,M3} { ! midp( X, Y, Z ), cong( T, Y, T
% 123.61/124.07 , Z ), ! perp( Y, Z, T, X ) }.
% 123.61/124.07 substitution0:
% 123.61/124.07 X := X
% 123.61/124.07 Y := Y
% 123.61/124.07 Z := Z
% 123.61/124.07 T := T
% 123.61/124.07 end
% 123.61/124.07 permutation0:
% 123.61/124.07 0 ==> 0
% 123.61/124.07 1 ==> 1
% 123.61/124.07 2 ==> 2
% 123.61/124.07 end
% 123.61/124.07
% 123.61/124.07 resolution: (145068) {G1,W15,D2,L3,V4,M3} { perp( Z, T, X, Y ), ! cong( X
% 123.61/124.07 , Z, Y, Z ), ! cong( X, T, Y, T ) }.
% 123.61/124.07 parent0[0]: (7) {G0,W10,D2,L2,V4,M2} I { ! perp( X, Y, Z, T ), perp( Z, T,
% 123.61/124.07 X, Y ) }.
% 123.61/124.07 parent1[2]: (56) {G0,W15,D2,L3,V4,M3} I { ! cong( X, Z, Y, Z ), ! cong( X,
% 123.61/124.07 T, Y, T ), perp( X, Y, Z, T ) }.
% 123.61/124.07 substitution0:
% 123.61/124.07 X := X
% 123.61/124.07 Y := Y
% 123.61/124.07 Z := Z
% 123.61/124.07 T := T
% 123.61/124.07 end
% 123.61/124.07 substitution1:
% 123.61/124.07 X := X
% 123.61/124.07 Y := Y
% 123.61/124.07 Z := Z
% 123.61/124.07 T := T
% 123.61/124.07 end
% 123.61/124.07
% 123.61/124.07 subsumption: (1830) {G1,W15,D2,L3,V4,M3} R(56,7) { ! cong( X, Y, Z, Y ), !
% 123.61/124.07 cong( X, T, Z, T ), perp( Y, T, X, Z ) }.
% 123.61/124.07 parent0: (145068) {G1,W15,D2,L3,V4,M3} { perp( Z, T, X, Y ), ! cong( X, Z
% 123.61/124.07 , Y, Z ), ! cong( X, T, Y, T ) }.
% 123.61/124.07 substitution0:
% 123.61/124.07 X := X
% 123.61/124.07 Y := Z
% 123.61/124.07 Z := Y
% 123.61/124.07 T := T
% 123.61/124.07 end
% 123.61/124.07 permutation0:
% 123.61/124.07 0 ==> 2
% 123.61/124.07 1 ==> 0
% 123.61/124.07 2 ==> 1
% 123.61/124.07 end
% 123.61/124.07
% 123.61/124.07 factor: (145070) {G1,W10,D2,L2,V3,M2} { ! cong( X, Y, Z, Y ), perp( Y, Y,
% 123.61/124.07 X, Z ) }.
% 123.61/124.07 parent0[0, 1]: (1830) {G1,W15,D2,L3,V4,M3} R(56,7) { ! cong( X, Y, Z, Y ),
% 123.61/124.07 ! cong( X, T, Z, T ), perp( Y, T, X, Z ) }.
% 123.61/124.07 substitution0:
% 123.61/124.07 X := X
% 123.61/124.07 Y := Y
% 123.61/124.07 Z := Z
% 123.61/124.07 T := Y
% 123.61/124.07 end
% 123.61/124.07
% 123.61/124.07 subsumption: (1831) {G2,W10,D2,L2,V3,M2} F(1830) { ! cong( X, Y, Z, Y ),
% 123.61/124.07 perp( Y, Y, X, Z ) }.
% 123.61/124.07 parent0: (145070) {G1,W10,D2,L2,V3,M2} { ! cong( X, Y, Z, Y ), perp( Y, Y
% 123.61/124.07 , X, Z ) }.
% 123.61/124.07 substitution0:
% 123.61/124.07 X := X
% 123.61/124.07 Y := Y
% 123.61/124.07 Z := Z
% 123.61/124.07 end
% 123.61/124.07 permutation0:
% 123.61/124.07 0 ==> 0
% 123.61/124.07 1 ==> 1
% 123.61/124.07 end
% 123.61/124.07
% 123.61/124.07 resolution: (145075) {G1,W20,D2,L5,V6,M5} { ! midp( X, Y, Z ), ! coll( T,
% 123.61/124.07 Y, U ), midp( T, Y, U ), ! midp( W, X, Z ), ! midp( W, T, U ) }.
% 123.61/124.07 parent0[1]: (45) {G0,W17,D2,L4,V5,M4} I { ! midp( U, X, T ), ! para( U, Z,
% 123.61/124.07 T, Y ), ! coll( Z, X, Y ), midp( Z, X, Y ) }.
% 123.61/124.07 parent1[2]: (63) {G0,W13,D2,L3,V5,M3} I { ! midp( U, X, Y ), ! midp( U, Z,
% 123.61/124.07 T ), para( X, Z, Y, T ) }.
% 123.61/124.07 substitution0:
% 123.61/124.07 X := Y
% 123.61/124.07 Y := U
% 123.61/124.07 Z := T
% 123.61/124.07 T := Z
% 123.61/124.07 U := X
% 123.61/124.07 end
% 123.61/124.07 substitution1:
% 123.61/124.07 X := X
% 123.61/124.07 Y := Z
% 123.61/124.07 Z := T
% 123.61/124.07 T := U
% 123.61/124.07 U := W
% 123.61/124.07 end
% 123.61/124.07
% 123.61/124.07 subsumption: (2095) {G1,W20,D2,L5,V6,M5} R(63,45) { ! midp( X, Y, Z ), !
% 123.61/124.07 midp( X, T, U ), ! midp( Y, W, Z ), ! coll( T, W, U ), midp( T, W, U )
% 123.61/124.07 }.
% 123.61/124.07 parent0: (145075) {G1,W20,D2,L5,V6,M5} { ! midp( X, Y, Z ), ! coll( T, Y,
% 123.61/124.07 U ), midp( T, Y, U ), ! midp( W, X, Z ), ! midp( W, T, U ) }.
% 123.61/124.07 substitution0:
% 123.61/124.07 X := Y
% 123.61/124.07 Y := W
% 123.61/124.07 Z := Z
% 123.61/124.07 T := T
% 123.61/124.07 U := U
% 123.61/124.07 W := X
% 123.61/124.07 end
% 123.61/124.07 permutation0:
% 123.61/124.07 0 ==> 2
% 123.61/124.07 1 ==> 3
% 123.61/124.07 2 ==> 4
% 123.61/124.07 3 ==> 0
% 123.61/124.07 4 ==> 1
% 123.61/124.07 end
% 123.61/124.07
% 123.61/124.07 resolution: (145081) {G1,W13,D2,L3,V5,M3} { ! midp( X, Y, Z ), para( Y, T
% 123.61/124.07 , Z, U ), ! midp( X, U, T ) }.
% 123.61/124.07 parent0[1]: (63) {G0,W13,D2,L3,V5,M3} I { ! midp( U, X, Y ), ! midp( U, Z,
% 123.61/124.07 T ), para( X, Z, Y, T ) }.
% 123.61/124.07 parent1[1]: (10) {G0,W8,D2,L2,V3,M2} I { ! midp( Z, Y, X ), midp( Z, X, Y )
% 123.61/124.07 }.
% 123.61/124.07 substitution0:
% 123.61/124.07 X := Y
% 123.61/124.07 Y := Z
% 123.61/124.07 Z := T
% 123.61/124.07 T := U
% 123.61/124.07 U := X
% 123.61/124.07 end
% 123.61/124.07 substitution1:
% 123.61/124.07 X := T
% 123.61/124.07 Y := U
% 123.61/124.07 Z := X
% 123.61/124.07 end
% 123.61/124.07
% 123.61/124.07 subsumption: (2104) {G1,W13,D2,L3,V5,M3} R(63,10) { ! midp( X, Y, Z ), para
% 123.61/124.07 ( Y, T, Z, U ), ! midp( X, U, T ) }.
% 123.61/124.07 parent0: (145081) {G1,W13,D2,L3,V5,M3} { ! midp( X, Y, Z ), para( Y, T, Z
% 123.61/124.07 , U ), ! midp( X, U, T ) }.
% 123.61/124.07 substitution0:
% 123.61/124.07 X := X
% 123.61/124.07 Y := Y
% 123.61/124.07 Z := Z
% 123.61/124.07 T := T
% 123.61/124.07 U := U
% 123.61/124.07 end
% 123.61/124.07 permutation0:
% 123.61/124.07 0 ==> 0
% 123.61/124.07 1 ==> 1
% 123.61/124.07 2 ==> 2
% 123.61/124.07 end
% 123.61/124.07
% 123.61/124.07 resolution: (145085) {G1,W9,D2,L2,V2,M2} { ! midp( skol30, X, Y ), para( X
% 123.61/124.07 , skol27, Y, skol26 ) }.
% 123.61/124.07 parent0[1]: (63) {G0,W13,D2,L3,V5,M3} I { ! midp( U, X, Y ), ! midp( U, Z,
% 123.61/124.07 T ), para( X, Z, Y, T ) }.
% 123.61/124.07 parent1[0]: (124) {G0,W4,D2,L1,V0,M1} I { midp( skol30, skol27, skol26 )
% 123.61/124.07 }.
% 123.61/124.07 substitution0:
% 123.61/124.07 X := X
% 123.61/124.07 Y := Y
% 123.61/124.07 Z := skol27
% 123.61/124.07 T := skol26
% 123.61/124.07 U := skol30
% 123.61/124.07 end
% 123.61/124.07 substitution1:
% 123.61/124.07 end
% 123.61/124.07
% 123.61/124.07 subsumption: (2111) {G1,W9,D2,L2,V2,M2} R(63,124) { ! midp( skol30, X, Y )
% 123.61/124.07 , para( X, skol27, Y, skol26 ) }.
% 123.61/124.07 parent0: (145085) {G1,W9,D2,L2,V2,M2} { ! midp( skol30, X, Y ), para( X,
% 123.61/124.07 skol27, Y, skol26 ) }.
% 123.61/124.07 substitution0:
% 123.61/124.07 X := X
% 123.61/124.07 Y := Y
% 123.61/124.07 end
% 123.61/124.07 permutation0:
% 123.61/124.07 0 ==> 0
% 123.61/124.07 1 ==> 1
% 123.61/124.07 end
% 123.61/124.07
% 123.61/124.07 factor: (145086) {G1,W9,D2,L2,V3,M2} { ! midp( X, Y, Z ), para( Y, Z, Z, Y
% 123.61/124.07 ) }.
% 123.61/124.07 parent0[0, 2]: (2104) {G1,W13,D2,L3,V5,M3} R(63,10) { ! midp( X, Y, Z ),
% 123.61/124.07 para( Y, T, Z, U ), ! midp( X, U, T ) }.
% 123.61/124.07 substitution0:
% 123.61/124.07 X := X
% 123.61/124.07 Y := Y
% 123.61/124.07 Z := Z
% 123.61/124.07 T := Z
% 123.61/124.07 U := Y
% 123.61/124.07 end
% 123.61/124.07
% 123.61/124.07 subsumption: (2120) {G2,W9,D2,L2,V3,M2} F(2104) { ! midp( X, Y, Z ), para(
% 123.61/124.07 Y, Z, Z, Y ) }.
% 123.61/124.07 parent0: (145086) {G1,W9,D2,L2,V3,M2} { ! midp( X, Y, Z ), para( Y, Z, Z,
% 123.61/124.07 Y ) }.
% 123.61/124.07 substitution0:
% 123.61/124.07 X := X
% 123.61/124.07 Y := Y
% 123.61/124.07 Z := Z
% 123.61/124.07 end
% 123.61/124.07 permutation0:
% 123.61/124.07 0 ==> 0
% 123.61/124.07 1 ==> 1
% 123.61/124.07 end
% 123.61/124.07
% 123.61/124.07 factor: (145088) {G1,W16,D2,L4,V4,M4} { ! midp( X, X, Y ), ! midp( X, Z, T
% 123.61/124.07 ), ! coll( Z, X, T ), midp( Z, X, T ) }.
% 123.61/124.07 parent0[0, 2]: (2095) {G1,W20,D2,L5,V6,M5} R(63,45) { ! midp( X, Y, Z ), !
% 123.61/124.07 midp( X, T, U ), ! midp( Y, W, Z ), ! coll( T, W, U ), midp( T, W, U )
% 123.61/124.07 }.
% 123.61/124.07 substitution0:
% 123.61/124.07 X := X
% 123.61/124.07 Y := X
% 123.61/124.07 Z := Y
% 123.61/124.07 T := Z
% 123.61/124.07 U := T
% 123.61/124.07 W := X
% 123.61/124.07 end
% 123.61/124.07
% 123.61/124.07 resolution: (145097) {G2,W16,D2,L4,V4,M4} { ! midp( X, X, Y ), ! midp( X,
% 123.61/124.07 Z, T ), midp( Z, X, T ), ! midp( X, Z, T ) }.
% 123.61/124.07 parent0[2]: (145088) {G1,W16,D2,L4,V4,M4} { ! midp( X, X, Y ), ! midp( X,
% 123.61/124.07 Z, T ), ! coll( Z, X, T ), midp( Z, X, T ) }.
% 123.61/124.07 parent1[1]: (1374) {G1,W8,D2,L2,V3,M2} R(69,1) { ! midp( X, Y, Z ), coll( Y
% 123.61/124.07 , X, Z ) }.
% 123.61/124.07 substitution0:
% 123.61/124.07 X := X
% 123.61/124.07 Y := Y
% 123.61/124.07 Z := Z
% 123.61/124.07 T := T
% 123.61/124.07 end
% 123.61/124.07 substitution1:
% 123.61/124.07 X := X
% 123.61/124.07 Y := Z
% 123.61/124.07 Z := T
% 123.61/124.07 end
% 123.61/124.07
% 123.61/124.07 factor: (145099) {G2,W12,D2,L3,V4,M3} { ! midp( X, X, Y ), ! midp( X, Z, T
% 123.61/124.07 ), midp( Z, X, T ) }.
% 123.61/124.07 parent0[1, 3]: (145097) {G2,W16,D2,L4,V4,M4} { ! midp( X, X, Y ), ! midp(
% 123.61/124.07 X, Z, T ), midp( Z, X, T ), ! midp( X, Z, T ) }.
% 123.61/124.07 substitution0:
% 123.61/124.07 X := X
% 123.61/124.07 Y := Y
% 123.61/124.07 Z := Z
% 123.61/124.07 T := T
% 123.61/124.07 end
% 123.61/124.07
% 123.61/124.07 subsumption: (2123) {G2,W12,D2,L3,V4,M3} F(2095);r(1374) { ! midp( X, X, Y
% 123.61/124.07 ), ! midp( X, Z, T ), midp( Z, X, T ) }.
% 123.61/124.07 parent0: (145099) {G2,W12,D2,L3,V4,M3} { ! midp( X, X, Y ), ! midp( X, Z,
% 123.61/124.07 T ), midp( Z, X, T ) }.
% 123.61/124.07 substitution0:
% 123.61/124.07 X := X
% 123.61/124.07 Y := Y
% 123.61/124.07 Z := Z
% 123.61/124.07 T := T
% 123.61/124.07 end
% 123.61/124.07 permutation0:
% 123.61/124.07 0 ==> 0
% 123.61/124.07 1 ==> 1
% 123.61/124.07 2 ==> 2
% 123.61/124.07 end
% 123.61/124.07
% 123.61/124.07 resolution: (145101) {G1,W14,D2,L3,V2,M3} { ! para( skol27, X, skol29, Y )
% 123.61/124.07 , ! para( skol27, Y, skol29, X ), midp( skol24, X, Y ) }.
% 123.61/124.07 parent0[0]: (64) {G0,W18,D2,L4,V5,M4} I { ! midp( Z, T, U ), ! para( T, X,
% 123.61/124.07 U, Y ), ! para( T, Y, U, X ), midp( Z, X, Y ) }.
% 123.61/124.07 parent1[0]: (339) {G1,W4,D2,L1,V0,M1} R(10,126) { midp( skol24, skol27,
% 123.61/124.07 skol29 ) }.
% 123.61/124.07 substitution0:
% 123.61/124.07 X := X
% 123.61/124.07 Y := Y
% 123.61/124.07 Z := skol24
% 123.61/124.07 T := skol27
% 123.61/124.07 U := skol29
% 123.61/124.07 end
% 123.61/124.07 substitution1:
% 123.61/124.07 end
% 123.61/124.07
% 123.61/124.07 subsumption: (2158) {G2,W14,D2,L3,V2,M3} R(64,339) { ! para( skol27, X,
% 123.61/124.07 skol29, Y ), ! para( skol27, Y, skol29, X ), midp( skol24, X, Y ) }.
% 123.61/124.07 parent0: (145101) {G1,W14,D2,L3,V2,M3} { ! para( skol27, X, skol29, Y ), !
% 123.61/124.07 para( skol27, Y, skol29, X ), midp( skol24, X, Y ) }.
% 123.61/124.07 substitution0:
% 123.61/124.07 X := X
% 123.61/124.07 Y := Y
% 123.61/124.07 end
% 123.61/124.07 permutation0:
% 123.61/124.07 0 ==> 0
% 123.61/124.07 1 ==> 1
% 123.61/124.07 2 ==> 2
% 123.61/124.07 end
% 123.61/124.07
% 123.61/124.07 resolution: (145103) {G1,W9,D2,L2,V3,M2} { cong( X, Z, X, Y ), ! midp( X,
% 123.61/124.07 Y, Z ) }.
% 123.61/124.07 parent0[0]: (23) {G0,W10,D2,L2,V4,M2} I { ! cong( X, Y, Z, T ), cong( Z, T
% 123.61/124.07 , X, Y ) }.
% 123.61/124.07 parent1[1]: (68) {G0,W9,D2,L2,V3,M2} I { ! midp( X, Y, Z ), cong( X, Y, X,
% 123.61/124.07 Z ) }.
% 123.61/124.07 substitution0:
% 123.61/124.07 X := X
% 123.61/124.07 Y := Y
% 123.61/124.07 Z := X
% 123.61/124.07 T := Z
% 123.61/124.07 end
% 123.61/124.07 substitution1:
% 123.61/124.07 X := X
% 123.61/124.07 Y := Y
% 123.61/124.07 Z := Z
% 123.61/124.07 end
% 123.61/124.07
% 123.61/124.07 subsumption: (2561) {G1,W9,D2,L2,V3,M2} R(68,23) { ! midp( X, Y, Z ), cong
% 123.61/124.07 ( X, Z, X, Y ) }.
% 123.61/124.07 parent0: (145103) {G1,W9,D2,L2,V3,M2} { cong( X, Z, X, Y ), ! midp( X, Y,
% 123.61/124.07 Z ) }.
% 123.61/124.07 substitution0:
% 123.61/124.07 X := X
% 123.61/124.07 Y := Y
% 123.61/124.07 Z := Z
% 123.61/124.07 end
% 123.61/124.07 permutation0:
% 123.61/124.07 0 ==> 1
% 123.61/124.07 1 ==> 0
% 123.61/124.07 end
% 123.61/124.07
% 123.61/124.07 resolution: (145104) {G1,W9,D2,L2,V3,M2} { cong( X, Y, Z, X ), ! midp( X,
% 123.61/124.07 Y, Z ) }.
% 123.61/124.07 parent0[0]: (22) {G0,W10,D2,L2,V4,M2} I { ! cong( X, Y, Z, T ), cong( X, Y
% 123.61/124.07 , T, Z ) }.
% 123.61/124.07 parent1[1]: (68) {G0,W9,D2,L2,V3,M2} I { ! midp( X, Y, Z ), cong( X, Y, X,
% 123.61/124.07 Z ) }.
% 123.61/124.07 substitution0:
% 123.61/124.07 X := X
% 123.61/124.07 Y := Y
% 123.61/124.07 Z := X
% 123.61/124.07 T := Z
% 123.61/124.07 end
% 123.61/124.07 substitution1:
% 123.61/124.07 X := X
% 123.61/124.07 Y := Y
% 123.61/124.07 Z := Z
% 123.61/124.07 end
% 123.61/124.07
% 123.61/124.07 subsumption: (2562) {G1,W9,D2,L2,V3,M2} R(68,22) { ! midp( X, Y, Z ), cong
% 123.61/124.07 ( X, Y, Z, X ) }.
% 123.61/124.07 parent0: (145104) {G1,W9,D2,L2,V3,M2} { cong( X, Y, Z, X ), ! midp( X, Y,
% 123.61/124.07 Z ) }.
% 123.61/124.07 substitution0:
% 123.61/124.07 X := X
% 123.61/124.07 Y := Y
% 123.61/124.07 Z := Z
% 123.61/124.07 end
% 123.61/124.07 permutation0:
% 123.61/124.07 0 ==> 1
% 123.61/124.07 1 ==> 0
% 123.61/124.07 end
% 123.61/124.07
% 123.61/124.07 resolution: (145105) {G1,W5,D2,L1,V0,M1} { cong( skol30, skol26, skol30,
% 123.61/124.07 skol27 ) }.
% 123.61/124.07 parent0[0]: (68) {G0,W9,D2,L2,V3,M2} I { ! midp( X, Y, Z ), cong( X, Y, X,
% 123.61/124.07 Z ) }.
% 123.61/124.07 parent1[0]: (337) {G1,W4,D2,L1,V0,M1} R(10,124) { midp( skol30, skol26,
% 123.61/124.07 skol27 ) }.
% 123.61/124.07 substitution0:
% 123.61/124.07 X := skol30
% 123.61/124.07 Y := skol26
% 123.61/124.07 Z := skol27
% 123.61/124.07 end
% 123.61/124.07 substitution1:
% 123.61/124.07 end
% 123.61/124.07
% 123.61/124.07 subsumption: (2570) {G2,W5,D2,L1,V0,M1} R(68,337) { cong( skol30, skol26,
% 123.61/124.07 skol30, skol27 ) }.
% 123.61/124.07 parent0: (145105) {G1,W5,D2,L1,V0,M1} { cong( skol30, skol26, skol30,
% 123.61/124.07 skol27 ) }.
% 123.61/124.07 substitution0:
% 123.61/124.07 end
% 123.61/124.07 permutation0:
% 123.61/124.07 0 ==> 0
% 123.61/124.07 end
% 123.61/124.07
% 123.61/124.07 resolution: (145106) {G1,W5,D2,L1,V0,M1} { cong( skol24, skol29, skol24,
% 123.61/124.07 skol27 ) }.
% 123.61/124.07 parent0[0]: (68) {G0,W9,D2,L2,V3,M2} I { ! midp( X, Y, Z ), cong( X, Y, X,
% 123.61/124.07 Z ) }.
% 123.61/124.07 parent1[0]: (126) {G0,W4,D2,L1,V0,M1} I { midp( skol24, skol29, skol27 )
% 123.61/124.07 }.
% 123.61/124.07 substitution0:
% 123.61/124.07 X := skol24
% 123.61/124.07 Y := skol29
% 123.61/124.07 Z := skol27
% 123.61/124.07 end
% 123.61/124.07 substitution1:
% 123.61/124.07 end
% 123.61/124.07
% 123.61/124.07 subsumption: (2573) {G1,W5,D2,L1,V0,M1} R(68,126) { cong( skol24, skol29,
% 123.61/124.07 skol24, skol27 ) }.
% 123.61/124.07 parent0: (145106) {G1,W5,D2,L1,V0,M1} { cong( skol24, skol29, skol24,
% 123.61/124.07 skol27 ) }.
% 123.61/124.07 substitution0:
% 123.61/124.07 end
% 123.61/124.07 permutation0:
% 123.61/124.07 0 ==> 0
% 123.61/124.07 end
% 123.61/124.07
% 123.61/124.07 resolution: (145107) {G1,W10,D2,L2,V2,M2} { ! cong( skol30, skol27, X, Y )
% 123.61/124.07 , cong( skol30, skol26, X, Y ) }.
% 123.61/124.07 parent0[0]: (24) {G0,W15,D2,L3,V6,M3} I { ! cong( X, Y, U, W ), ! cong( U,
% 123.61/124.07 W, Z, T ), cong( X, Y, Z, T ) }.
% 123.61/124.07 parent1[0]: (2570) {G2,W5,D2,L1,V0,M1} R(68,337) { cong( skol30, skol26,
% 123.61/124.07 skol30, skol27 ) }.
% 123.61/124.07 substitution0:
% 123.61/124.07 X := skol30
% 123.61/124.07 Y := skol26
% 123.61/124.07 Z := X
% 123.61/124.07 T := Y
% 123.61/124.07 U := skol30
% 123.61/124.07 W := skol27
% 123.61/124.07 end
% 123.61/124.07 substitution1:
% 123.61/124.07 end
% 123.61/124.07
% 123.61/124.07 subsumption: (2756) {G3,W10,D2,L2,V2,M2} R(2570,24) { ! cong( skol30,
% 123.61/124.07 skol27, X, Y ), cong( skol30, skol26, X, Y ) }.
% 123.61/124.07 parent0: (145107) {G1,W10,D2,L2,V2,M2} { ! cong( skol30, skol27, X, Y ),
% 123.61/124.07 cong( skol30, skol26, X, Y ) }.
% 123.61/124.07 substitution0:
% 123.61/124.07 X := X
% 123.61/124.07 Y := Y
% 123.61/124.07 end
% 123.61/124.07 permutation0:
% 123.61/124.07 0 ==> 0
% 123.61/124.07 1 ==> 1
% 123.61/124.07 end
% 123.61/124.07
% 123.61/124.07 resolution: (145111) {G1,W15,D2,L3,V2,M3} { ! cong( skol30, skol26, skol30
% 123.61/124.07 , X ), ! cong( skol30, skol26, skol30, Y ), cyclic( skol26, X, Y, skol27
% 123.61/124.07 ) }.
% 123.61/124.07 parent0[2]: (12) {G0,W20,D2,L4,V5,M4} I { ! cong( U, X, U, Y ), ! cong( U,
% 123.61/124.07 X, U, Z ), ! cong( U, X, U, T ), cyclic( X, Y, Z, T ) }.
% 123.61/124.07 parent1[0]: (2570) {G2,W5,D2,L1,V0,M1} R(68,337) { cong( skol30, skol26,
% 123.61/124.07 skol30, skol27 ) }.
% 123.61/124.07 substitution0:
% 123.61/124.07 X := skol26
% 123.61/124.07 Y := X
% 123.61/124.07 Z := Y
% 123.61/124.07 T := skol27
% 123.61/124.07 U := skol30
% 123.61/124.07 end
% 123.61/124.07 substitution1:
% 123.61/124.07 end
% 123.61/124.07
% 123.61/124.07 subsumption: (2761) {G3,W15,D2,L3,V2,M3} R(2570,12) { ! cong( skol30,
% 123.61/124.07 skol26, skol30, X ), ! cong( skol30, skol26, skol30, Y ), cyclic( skol26
% 123.61/124.07 , X, Y, skol27 ) }.
% 123.61/124.07 parent0: (145111) {G1,W15,D2,L3,V2,M3} { ! cong( skol30, skol26, skol30, X
% 123.61/124.07 ), ! cong( skol30, skol26, skol30, Y ), cyclic( skol26, X, Y, skol27 )
% 123.61/124.07 }.
% 123.61/124.07 substitution0:
% 123.61/124.07 X := X
% 123.61/124.07 Y := Y
% 123.61/124.07 end
% 123.61/124.07 permutation0:
% 123.61/124.07 0 ==> 0
% 123.61/124.07 1 ==> 1
% 123.61/124.07 2 ==> 2
% 123.61/124.07 end
% 123.61/124.07
% 123.61/124.07 factor: (145115) {G3,W10,D2,L2,V1,M2} { ! cong( skol30, skol26, skol30, X
% 123.61/124.07 ), cyclic( skol26, X, X, skol27 ) }.
% 123.61/124.07 parent0[0, 1]: (2761) {G3,W15,D2,L3,V2,M3} R(2570,12) { ! cong( skol30,
% 123.61/124.07 skol26, skol30, X ), ! cong( skol30, skol26, skol30, Y ), cyclic( skol26
% 123.61/124.07 , X, Y, skol27 ) }.
% 123.61/124.07 substitution0:
% 123.61/124.07 X := X
% 123.61/124.07 Y := X
% 123.61/124.07 end
% 123.61/124.07
% 123.61/124.07 subsumption: (2764) {G4,W10,D2,L2,V1,M2} F(2761) { ! cong( skol30, skol26,
% 123.61/124.07 skol30, X ), cyclic( skol26, X, X, skol27 ) }.
% 123.61/124.07 parent0: (145115) {G3,W10,D2,L2,V1,M2} { ! cong( skol30, skol26, skol30, X
% 123.61/124.07 ), cyclic( skol26, X, X, skol27 ) }.
% 123.61/124.07 substitution0:
% 123.61/124.07 X := X
% 123.61/124.07 end
% 123.61/124.07 permutation0:
% 123.61/124.07 0 ==> 0
% 123.61/124.07 1 ==> 1
% 123.61/124.07 end
% 123.61/124.07
% 123.61/124.07 resolution: (145116) {G1,W15,D2,L3,V3,M3} { ! perp( Y, Z, X, Z ), perp( X
% 123.61/124.07 , Y, Y, Z ), ! cong( X, Y, X, Z ) }.
% 123.61/124.07 parent0[0]: (73) {G0,W19,D2,L3,V8,M3} I { ! eqangle( X, Y, Z, T, U, W, V0,
% 123.61/124.07 V1 ), ! perp( U, W, V0, V1 ), perp( X, Y, Z, T ) }.
% 123.61/124.07 parent1[1]: (46) {G0,W14,D2,L2,V3,M2} I { ! cong( Z, X, Z, Y ), eqangle( Z
% 123.61/124.07 , X, X, Y, X, Y, Z, Y ) }.
% 123.61/124.07 substitution0:
% 123.61/124.07 X := X
% 123.61/124.07 Y := Y
% 123.61/124.07 Z := Y
% 123.61/124.07 T := Z
% 123.61/124.07 U := Y
% 123.61/124.07 W := Z
% 123.61/124.07 V0 := X
% 123.61/124.07 V1 := Z
% 123.61/124.07 end
% 123.61/124.07 substitution1:
% 123.61/124.07 X := Y
% 123.61/124.07 Y := Z
% 123.61/124.07 Z := X
% 123.61/124.07 end
% 123.61/124.07
% 123.61/124.07 subsumption: (2784) {G1,W15,D2,L3,V3,M3} R(73,46) { ! perp( X, Y, Z, Y ),
% 123.61/124.07 perp( Z, X, X, Y ), ! cong( Z, X, Z, Y ) }.
% 123.61/124.07 parent0: (145116) {G1,W15,D2,L3,V3,M3} { ! perp( Y, Z, X, Z ), perp( X, Y
% 123.61/124.07 , Y, Z ), ! cong( X, Y, X, Z ) }.
% 123.61/124.07 substitution0:
% 123.61/124.07 X := Z
% 123.61/124.07 Y := X
% 123.61/124.07 Z := Y
% 123.61/124.07 end
% 123.61/124.07 permutation0:
% 123.61/124.07 0 ==> 0
% 123.61/124.07 1 ==> 1
% 123.61/124.07 2 ==> 2
% 123.61/124.07 end
% 123.61/124.07
% 123.61/124.07 resolution: (145117) {G2,W5,D2,L1,V0,M1} { circle( skol24, skol29, skol27
% 123.61/124.07 , skol27 ) }.
% 123.61/124.07 parent0[0]: (130) {G1,W10,D2,L2,V3,M2} F(11) { ! cong( X, Y, X, Z ), circle
% 123.61/124.07 ( X, Y, Z, Z ) }.
% 123.61/124.07 parent1[0]: (2573) {G1,W5,D2,L1,V0,M1} R(68,126) { cong( skol24, skol29,
% 123.61/124.07 skol24, skol27 ) }.
% 123.61/124.07 substitution0:
% 123.61/124.07 X := skol24
% 123.61/124.07 Y := skol29
% 123.61/124.07 Z := skol27
% 123.61/124.07 end
% 123.61/124.07 substitution1:
% 123.61/124.07 end
% 123.61/124.07
% 123.61/124.07 subsumption: (7361) {G2,W5,D2,L1,V0,M1} R(130,2573) { circle( skol24,
% 123.61/124.07 skol29, skol27, skol27 ) }.
% 123.61/124.07 parent0: (145117) {G2,W5,D2,L1,V0,M1} { circle( skol24, skol29, skol27,
% 123.61/124.07 skol27 ) }.
% 123.61/124.07 substitution0:
% 123.61/124.07 end
% 123.61/124.07 permutation0:
% 123.61/124.07 0 ==> 0
% 123.61/124.07 end
% 123.61/124.07
% 123.61/124.07 resolution: (145118) {G1,W9,D2,L2,V0,M2} { ! coll( skol24, skol29, skol27
% 123.61/124.07 ), perp( skol29, skol27, skol27, skol27 ) }.
% 123.61/124.07 parent0[0]: (53) {G0,W14,D2,L3,V4,M3} I { ! circle( T, X, Y, Z ), ! coll( T
% 123.61/124.07 , X, Z ), perp( X, Y, Y, Z ) }.
% 123.61/124.07 parent1[0]: (7361) {G2,W5,D2,L1,V0,M1} R(130,2573) { circle( skol24, skol29
% 123.61/124.07 , skol27, skol27 ) }.
% 123.61/124.07 substitution0:
% 123.61/124.07 X := skol29
% 123.61/124.07 Y := skol27
% 123.61/124.07 Z := skol27
% 123.61/124.07 T := skol24
% 123.61/124.07 end
% 123.61/124.07 substitution1:
% 123.61/124.07 end
% 123.61/124.07
% 123.61/124.07 resolution: (145119) {G2,W5,D2,L1,V0,M1} { perp( skol29, skol27, skol27,
% 123.61/124.07 skol27 ) }.
% 123.61/124.07 parent0[0]: (145118) {G1,W9,D2,L2,V0,M2} { ! coll( skol24, skol29, skol27
% 123.61/124.07 ), perp( skol29, skol27, skol27, skol27 ) }.
% 123.61/124.07 parent1[0]: (1377) {G1,W4,D2,L1,V0,M1} R(69,126) { coll( skol24, skol29,
% 123.61/124.07 skol27 ) }.
% 123.61/124.07 substitution0:
% 123.61/124.07 end
% 123.61/124.07 substitution1:
% 123.61/124.07 end
% 123.61/124.07
% 123.61/124.07 subsumption: (7375) {G3,W5,D2,L1,V0,M1} R(7361,53);r(1377) { perp( skol29,
% 123.61/124.07 skol27, skol27, skol27 ) }.
% 123.61/124.07 parent0: (145119) {G2,W5,D2,L1,V0,M1} { perp( skol29, skol27, skol27,
% 123.61/124.07 skol27 ) }.
% 123.61/124.07 substitution0:
% 123.61/124.07 end
% 123.61/124.07 permutation0:
% 123.61/124.07 0 ==> 0
% 123.61/124.07 end
% 123.61/124.07
% 123.61/124.07 resolution: (145120) {G1,W5,D2,L1,V0,M1} { perp( skol27, skol27, skol29,
% 123.61/124.07 skol27 ) }.
% 123.61/124.07 parent0[0]: (7) {G0,W10,D2,L2,V4,M2} I { ! perp( X, Y, Z, T ), perp( Z, T,
% 123.61/124.07 X, Y ) }.
% 123.61/124.07 parent1[0]: (7375) {G3,W5,D2,L1,V0,M1} R(7361,53);r(1377) { perp( skol29,
% 123.61/124.07 skol27, skol27, skol27 ) }.
% 123.61/124.07 substitution0:
% 123.61/124.07 X := skol29
% 123.61/124.07 Y := skol27
% 123.61/124.07 Z := skol27
% 123.61/124.07 T := skol27
% 123.61/124.07 end
% 123.61/124.07 substitution1:
% 123.61/124.07 end
% 123.61/124.07
% 123.61/124.07 subsumption: (7397) {G4,W5,D2,L1,V0,M1} R(7375,7) { perp( skol27, skol27,
% 123.61/124.07 skol29, skol27 ) }.
% 123.61/124.07 parent0: (145120) {G1,W5,D2,L1,V0,M1} { perp( skol27, skol27, skol29,
% 123.61/124.07 skol27 ) }.
% 123.61/124.07 substitution0:
% 123.61/124.07 end
% 123.61/124.07 permutation0:
% 123.61/124.07 0 ==> 0
% 123.61/124.07 end
% 123.61/124.07
% 123.61/124.07 resolution: (145121) {G1,W5,D2,L1,V0,M1} { perp( skol27, skol27, skol27,
% 123.61/124.07 skol29 ) }.
% 123.61/124.07 parent0[0]: (6) {G0,W10,D2,L2,V4,M2} I { ! perp( X, Y, Z, T ), perp( X, Y,
% 123.61/124.07 T, Z ) }.
% 123.61/124.07 parent1[0]: (7397) {G4,W5,D2,L1,V0,M1} R(7375,7) { perp( skol27, skol27,
% 123.61/124.07 skol29, skol27 ) }.
% 123.61/124.07 substitution0:
% 123.61/124.07 X := skol27
% 123.61/124.07 Y := skol27
% 123.61/124.07 Z := skol29
% 123.61/124.07 T := skol27
% 123.61/124.07 end
% 123.61/124.07 substitution1:
% 123.61/124.07 end
% 123.61/124.07
% 123.61/124.07 subsumption: (7412) {G5,W5,D2,L1,V0,M1} R(7397,6) { perp( skol27, skol27,
% 123.61/124.07 skol27, skol29 ) }.
% 123.61/124.07 parent0: (145121) {G1,W5,D2,L1,V0,M1} { perp( skol27, skol27, skol27,
% 123.61/124.07 skol29 ) }.
% 123.61/124.07 substitution0:
% 123.61/124.07 end
% 123.61/124.07 permutation0:
% 123.61/124.07 0 ==> 0
% 123.61/124.07 end
% 123.61/124.07
% 123.61/124.07 resolution: (145122) {G1,W5,D2,L1,V0,M1} { perp( skol27, skol29, skol27,
% 123.61/124.07 skol27 ) }.
% 123.61/124.07 parent0[0]: (7) {G0,W10,D2,L2,V4,M2} I { ! perp( X, Y, Z, T ), perp( Z, T,
% 123.61/124.07 X, Y ) }.
% 123.61/124.07 parent1[0]: (7412) {G5,W5,D2,L1,V0,M1} R(7397,6) { perp( skol27, skol27,
% 123.61/124.07 skol27, skol29 ) }.
% 123.61/124.07 substitution0:
% 123.61/124.07 X := skol27
% 123.61/124.07 Y := skol27
% 123.61/124.07 Z := skol27
% 123.61/124.07 T := skol29
% 123.61/124.07 end
% 123.61/124.07 substitution1:
% 123.61/124.07 end
% 123.61/124.07
% 123.61/124.07 subsumption: (7447) {G6,W5,D2,L1,V0,M1} R(7412,7) { perp( skol27, skol29,
% 123.61/124.07 skol27, skol27 ) }.
% 123.61/124.07 parent0: (145122) {G1,W5,D2,L1,V0,M1} { perp( skol27, skol29, skol27,
% 123.61/124.07 skol27 ) }.
% 123.61/124.07 substitution0:
% 123.61/124.07 end
% 123.61/124.07 permutation0:
% 123.61/124.07 0 ==> 0
% 123.61/124.07 end
% 123.61/124.07
% 123.61/124.07 resolution: (145123) {G2,W14,D3,L3,V1,M3} { ! coll( skol27, skol27, skol29
% 123.61/124.07 ), ! coll( skol29, skol27, skol29 ), midp( skol7( skol27, X ), skol27, X
% 123.61/124.07 ) }.
% 123.61/124.07 parent0[0]: (150) {G1,W18,D3,L4,V4,M4} F(88) { ! midp( X, Y, Z ), ! coll( Y
% 123.61/124.07 , Y, Z ), ! coll( Z, Y, Z ), midp( skol7( Y, T ), Y, T ) }.
% 123.61/124.07 parent1[0]: (339) {G1,W4,D2,L1,V0,M1} R(10,126) { midp( skol24, skol27,
% 123.61/124.07 skol29 ) }.
% 123.61/124.07 substitution0:
% 123.61/124.07 X := skol24
% 123.61/124.07 Y := skol27
% 123.61/124.07 Z := skol29
% 123.61/124.07 T := X
% 123.61/124.07 end
% 123.61/124.07 substitution1:
% 123.61/124.07 end
% 123.61/124.07
% 123.61/124.07 resolution: (145124) {G3,W10,D3,L2,V1,M2} { ! coll( skol29, skol27, skol29
% 123.61/124.07 ), midp( skol7( skol27, X ), skol27, X ) }.
% 123.61/124.07 parent0[0]: (145123) {G2,W14,D3,L3,V1,M3} { ! coll( skol27, skol27, skol29
% 123.61/124.07 ), ! coll( skol29, skol27, skol29 ), midp( skol7( skol27, X ), skol27, X
% 123.61/124.07 ) }.
% 123.61/124.07 parent1[0]: (711) {G4,W4,D2,L1,V0,M1} R(479,0) { coll( skol27, skol27,
% 123.61/124.07 skol29 ) }.
% 123.61/124.07 substitution0:
% 123.61/124.07 X := X
% 123.61/124.07 end
% 123.61/124.07 substitution1:
% 123.61/124.07 end
% 123.61/124.07
% 123.61/124.07 subsumption: (8369) {G5,W10,D3,L2,V1,M2} R(150,339);r(711) { ! coll( skol29
% 123.61/124.07 , skol27, skol29 ), midp( skol7( skol27, X ), skol27, X ) }.
% 123.61/124.07 parent0: (145124) {G3,W10,D3,L2,V1,M2} { ! coll( skol29, skol27, skol29 )
% 123.61/124.07 , midp( skol7( skol27, X ), skol27, X ) }.
% 123.61/124.07 substitution0:
% 123.61/124.07 X := X
% 123.61/124.07 end
% 123.61/124.07 permutation0:
% 123.61/124.07 0 ==> 0
% 123.61/124.07 1 ==> 1
% 123.61/124.07 end
% 123.61/124.07
% 123.61/124.07 resolution: (145125) {G4,W5,D2,L1,V0,M1} { para( skol25, skol26, skol27,
% 123.61/124.07 skol27 ) }.
% 123.61/124.07 parent0[0]: (278) {G3,W10,D2,L2,V2,M2} R(8,276) { ! perp( skol27, skol29, X
% 123.61/124.07 , Y ), para( skol25, skol26, X, Y ) }.
% 123.61/124.07 parent1[0]: (7447) {G6,W5,D2,L1,V0,M1} R(7412,7) { perp( skol27, skol29,
% 123.61/124.07 skol27, skol27 ) }.
% 123.61/124.07 substitution0:
% 123.61/124.07 X := skol27
% 123.61/124.07 Y := skol27
% 123.61/124.07 end
% 123.61/124.07 substitution1:
% 123.61/124.07 end
% 123.61/124.07
% 123.61/124.07 subsumption: (16936) {G7,W5,D2,L1,V0,M1} R(278,7447) { para( skol25, skol26
% 123.61/124.07 , skol27, skol27 ) }.
% 123.61/124.07 parent0: (145125) {G4,W5,D2,L1,V0,M1} { para( skol25, skol26, skol27,
% 123.61/124.07 skol27 ) }.
% 123.61/124.07 substitution0:
% 123.61/124.07 end
% 123.61/124.07 permutation0:
% 123.61/124.07 0 ==> 0
% 123.61/124.07 end
% 123.61/124.07
% 123.61/124.07 resolution: (145126) {G2,W5,D2,L1,V0,M1} { para( skol27, skol27, skol26,
% 123.61/124.07 skol25 ) }.
% 123.61/124.07 parent0[0]: (229) {G1,W10,D2,L2,V4,M2} R(4,3) { ! para( X, Y, Z, T ), para
% 123.61/124.07 ( Z, T, Y, X ) }.
% 123.61/124.07 parent1[0]: (16936) {G7,W5,D2,L1,V0,M1} R(278,7447) { para( skol25, skol26
% 123.61/124.07 , skol27, skol27 ) }.
% 123.61/124.07 substitution0:
% 123.61/124.07 X := skol25
% 123.61/124.07 Y := skol26
% 123.61/124.07 Z := skol27
% 123.61/124.07 T := skol27
% 123.61/124.07 end
% 123.61/124.07 substitution1:
% 123.61/124.07 end
% 123.61/124.07
% 123.61/124.07 subsumption: (17231) {G8,W5,D2,L1,V0,M1} R(16936,229) { para( skol27,
% 123.61/124.07 skol27, skol26, skol25 ) }.
% 123.61/124.07 parent0: (145126) {G2,W5,D2,L1,V0,M1} { para( skol27, skol27, skol26,
% 123.61/124.07 skol25 ) }.
% 123.61/124.07 substitution0:
% 123.61/124.07 end
% 123.61/124.07 permutation0:
% 123.61/124.07 0 ==> 0
% 123.61/124.07 end
% 123.61/124.07
% 123.61/124.07 resolution: (145127) {G2,W5,D2,L1,V0,M1} { para( skol26, skol25, skol27,
% 123.61/124.07 skol27 ) }.
% 123.61/124.07 parent0[0]: (229) {G1,W10,D2,L2,V4,M2} R(4,3) { ! para( X, Y, Z, T ), para
% 123.61/124.07 ( Z, T, Y, X ) }.
% 123.61/124.07 parent1[0]: (17231) {G8,W5,D2,L1,V0,M1} R(16936,229) { para( skol27, skol27
% 123.61/124.07 , skol26, skol25 ) }.
% 123.61/124.07 substitution0:
% 123.61/124.07 X := skol27
% 123.61/124.07 Y := skol27
% 123.61/124.07 Z := skol26
% 123.61/124.07 T := skol25
% 123.61/124.07 end
% 123.61/124.07 substitution1:
% 123.61/124.07 end
% 123.61/124.07
% 123.61/124.07 subsumption: (17252) {G9,W5,D2,L1,V0,M1} R(17231,229) { para( skol26,
% 123.61/124.07 skol25, skol27, skol27 ) }.
% 123.61/124.07 parent0: (145127) {G2,W5,D2,L1,V0,M1} { para( skol26, skol25, skol27,
% 123.61/124.07 skol27 ) }.
% 123.61/124.07 substitution0:
% 123.61/124.07 end
% 123.61/124.07 permutation0:
% 123.61/124.07 0 ==> 0
% 123.61/124.07 end
% 123.61/124.07
% 123.61/124.07 resolution: (145128) {G1,W12,D2,L3,V1,M3} { ! midp( skol26, X, skol27 ), !
% 123.61/124.07 coll( skol25, X, skol27 ), midp( skol25, X, skol27 ) }.
% 123.61/124.07 parent0[1]: (45) {G0,W17,D2,L4,V5,M4} I { ! midp( U, X, T ), ! para( U, Z,
% 123.61/124.07 T, Y ), ! coll( Z, X, Y ), midp( Z, X, Y ) }.
% 123.61/124.07 parent1[0]: (17252) {G9,W5,D2,L1,V0,M1} R(17231,229) { para( skol26, skol25
% 123.61/124.07 , skol27, skol27 ) }.
% 123.61/124.07 substitution0:
% 123.61/124.07 X := X
% 123.61/124.07 Y := skol27
% 123.61/124.07 Z := skol25
% 123.61/124.07 T := skol27
% 123.61/124.07 U := skol26
% 123.61/124.07 end
% 123.61/124.07 substitution1:
% 123.61/124.07 end
% 123.61/124.07
% 123.61/124.07 subsumption: (17294) {G10,W12,D2,L3,V1,M3} R(17252,45) { ! midp( skol26, X
% 123.61/124.07 , skol27 ), ! coll( skol25, X, skol27 ), midp( skol25, X, skol27 ) }.
% 123.61/124.07 parent0: (145128) {G1,W12,D2,L3,V1,M3} { ! midp( skol26, X, skol27 ), !
% 123.61/124.07 coll( skol25, X, skol27 ), midp( skol25, X, skol27 ) }.
% 123.61/124.07 substitution0:
% 123.61/124.07 X := X
% 123.61/124.07 end
% 123.61/124.07 permutation0:
% 123.61/124.07 0 ==> 0
% 123.61/124.07 1 ==> 1
% 123.61/124.07 2 ==> 2
% 123.61/124.07 end
% 123.61/124.07
% 123.61/124.07 resolution: (145129) {G3,W5,D2,L1,V0,M1} { para( skol25, skol20, skol25,
% 123.61/124.07 skol20 ) }.
% 123.61/124.07 parent0[0]: (293) {G2,W10,D2,L2,V4,M2} F(285) { ! perp( X, Y, Z, T ), para
% 123.61/124.07 ( X, Y, X, Y ) }.
% 123.61/124.07 parent1[0]: (375) {G4,W5,D2,L1,V0,M1} R(371,6) { perp( skol25, skol20,
% 123.61/124.07 skol27, skol26 ) }.
% 123.61/124.07 substitution0:
% 123.61/124.07 X := skol25
% 123.61/124.07 Y := skol20
% 123.61/124.07 Z := skol27
% 123.61/124.07 T := skol26
% 123.61/124.07 end
% 123.61/124.07 substitution1:
% 123.61/124.07 end
% 123.61/124.07
% 123.61/124.07 subsumption: (18228) {G5,W5,D2,L1,V0,M1} R(293,375) { para( skol25, skol20
% 123.61/124.07 , skol25, skol20 ) }.
% 123.61/124.07 parent0: (145129) {G3,W5,D2,L1,V0,M1} { para( skol25, skol20, skol25,
% 123.61/124.07 skol20 ) }.
% 123.61/124.07 substitution0:
% 123.61/124.07 end
% 123.61/124.07 permutation0:
% 123.61/124.07 0 ==> 0
% 123.61/124.07 end
% 123.61/124.07
% 123.61/124.07 resolution: (145130) {G3,W5,D2,L1,V0,M1} { para( skol27, skol25, skol27,
% 123.61/124.07 skol25 ) }.
% 123.61/124.07 parent0[0]: (293) {G2,W10,D2,L2,V4,M2} F(285) { ! perp( X, Y, Z, T ), para
% 123.61/124.07 ( X, Y, X, Y ) }.
% 123.61/124.07 parent1[0]: (351) {G6,W5,D2,L1,V0,M1} R(347,6) { perp( skol27, skol25,
% 123.61/124.07 skol28, skol26 ) }.
% 123.61/124.07 substitution0:
% 123.61/124.07 X := skol27
% 123.61/124.07 Y := skol25
% 123.61/124.07 Z := skol28
% 123.61/124.07 T := skol26
% 123.61/124.07 end
% 123.61/124.07 substitution1:
% 123.61/124.07 end
% 123.61/124.07
% 123.61/124.07 subsumption: (18229) {G7,W5,D2,L1,V0,M1} R(293,351) { para( skol27, skol25
% 123.61/124.07 , skol27, skol25 ) }.
% 123.61/124.07 parent0: (145130) {G3,W5,D2,L1,V0,M1} { para( skol27, skol25, skol27,
% 123.61/124.07 skol25 ) }.
% 123.61/124.07 substitution0:
% 123.61/124.07 end
% 123.61/124.07 permutation0:
% 123.61/124.07 0 ==> 0
% 123.61/124.07 end
% 123.61/124.07
% 123.61/124.07 resolution: (145131) {G2,W8,D2,L2,V1,M2} { ! midp( X, skol25, skol25 ),
% 123.61/124.07 midp( X, skol20, skol20 ) }.
% 123.61/124.07 parent0[1]: (144) {G1,W13,D2,L3,V4,M3} F(64) { ! midp( X, Y, Z ), ! para( Y
% 123.61/124.07 , T, Z, T ), midp( X, T, T ) }.
% 123.61/124.07 parent1[0]: (18228) {G5,W5,D2,L1,V0,M1} R(293,375) { para( skol25, skol20,
% 123.61/124.07 skol25, skol20 ) }.
% 123.61/124.07 substitution0:
% 123.61/124.07 X := X
% 123.61/124.07 Y := skol25
% 123.61/124.07 Z := skol25
% 123.61/124.07 T := skol20
% 123.61/124.07 end
% 123.61/124.07 substitution1:
% 123.61/124.07 end
% 123.61/124.07
% 123.61/124.07 subsumption: (18473) {G6,W8,D2,L2,V1,M2} R(18228,144) { ! midp( X, skol25,
% 123.61/124.07 skol25 ), midp( X, skol20, skol20 ) }.
% 123.61/124.07 parent0: (145131) {G2,W8,D2,L2,V1,M2} { ! midp( X, skol25, skol25 ), midp
% 123.61/124.07 ( X, skol20, skol20 ) }.
% 123.61/124.07 substitution0:
% 123.61/124.07 X := X
% 123.61/124.07 end
% 123.61/124.07 permutation0:
% 123.61/124.07 0 ==> 0
% 123.61/124.07 1 ==> 1
% 123.61/124.07 end
% 123.61/124.07
% 123.61/124.07 resolution: (145132) {G2,W5,D2,L1,V0,M1} { para( skol25, skol27, skol27,
% 123.61/124.07 skol25 ) }.
% 123.61/124.07 parent0[1]: (228) {G1,W10,D2,L2,V4,M2} R(4,3) { para( X, Y, Z, T ), ! para
% 123.61/124.07 ( Z, T, Y, X ) }.
% 123.61/124.07 parent1[0]: (18229) {G7,W5,D2,L1,V0,M1} R(293,351) { para( skol27, skol25,
% 123.61/124.07 skol27, skol25 ) }.
% 123.61/124.07 substitution0:
% 123.61/124.07 X := skol25
% 123.61/124.07 Y := skol27
% 123.61/124.07 Z := skol27
% 123.61/124.07 T := skol25
% 123.61/124.07 end
% 123.61/124.07 substitution1:
% 123.61/124.07 end
% 123.61/124.07
% 123.61/124.07 subsumption: (18478) {G8,W5,D2,L1,V0,M1} R(18229,228) { para( skol25,
% 123.61/124.07 skol27, skol27, skol25 ) }.
% 123.61/124.07 parent0: (145132) {G2,W5,D2,L1,V0,M1} { para( skol25, skol27, skol27,
% 123.61/124.07 skol25 ) }.
% 123.61/124.07 substitution0:
% 123.61/124.07 end
% 123.61/124.07 permutation0:
% 123.61/124.07 0 ==> 0
% 123.61/124.07 end
% 123.61/124.07
% 123.61/124.07 resolution: (145133) {G2,W8,D2,L2,V1,M2} { ! midp( X, skol27, skol27 ),
% 123.61/124.07 midp( X, skol25, skol25 ) }.
% 123.61/124.07 parent0[1]: (144) {G1,W13,D2,L3,V4,M3} F(64) { ! midp( X, Y, Z ), ! para( Y
% 123.61/124.07 , T, Z, T ), midp( X, T, T ) }.
% 123.61/124.07 parent1[0]: (18229) {G7,W5,D2,L1,V0,M1} R(293,351) { para( skol27, skol25,
% 123.61/124.07 skol27, skol25 ) }.
% 123.61/124.07 substitution0:
% 123.61/124.07 X := X
% 123.61/124.07 Y := skol27
% 123.61/124.07 Z := skol27
% 123.61/124.07 T := skol25
% 123.61/124.07 end
% 123.61/124.07 substitution1:
% 123.61/124.07 end
% 123.61/124.07
% 123.61/124.07 subsumption: (18481) {G8,W8,D2,L2,V1,M2} R(18229,144) { ! midp( X, skol27,
% 123.61/124.07 skol27 ), midp( X, skol25, skol25 ) }.
% 123.61/124.07 parent0: (145133) {G2,W8,D2,L2,V1,M2} { ! midp( X, skol27, skol27 ), midp
% 123.61/124.07 ( X, skol25, skol25 ) }.
% 123.61/124.07 substitution0:
% 123.61/124.07 X := X
% 123.61/124.07 end
% 123.61/124.07 permutation0:
% 123.61/124.07 0 ==> 0
% 123.61/124.07 1 ==> 1
% 123.61/124.07 end
% 123.61/124.07
% 123.61/124.07 resolution: (145134) {G1,W12,D2,L3,V1,M3} { ! midp( skol25, X, skol27 ), !
% 123.61/124.07 coll( skol27, X, skol25 ), midp( skol27, X, skol25 ) }.
% 123.61/124.07 parent0[1]: (45) {G0,W17,D2,L4,V5,M4} I { ! midp( U, X, T ), ! para( U, Z,
% 123.61/124.07 T, Y ), ! coll( Z, X, Y ), midp( Z, X, Y ) }.
% 123.61/124.07 parent1[0]: (18478) {G8,W5,D2,L1,V0,M1} R(18229,228) { para( skol25, skol27
% 123.61/124.07 , skol27, skol25 ) }.
% 123.61/124.07 substitution0:
% 123.61/124.07 X := X
% 123.61/124.07 Y := skol25
% 123.61/124.07 Z := skol27
% 123.61/124.07 T := skol27
% 123.61/124.07 U := skol25
% 123.61/124.07 end
% 123.61/124.07 substitution1:
% 123.61/124.07 end
% 123.61/124.07
% 123.61/124.07 resolution: (145135) {G2,W12,D2,L3,V1,M3} { ! midp( skol25, X, skol27 ),
% 123.61/124.07 midp( skol27, X, skol25 ), ! midp( skol25, X, skol27 ) }.
% 123.61/124.07 parent0[1]: (145134) {G1,W12,D2,L3,V1,M3} { ! midp( skol25, X, skol27 ), !
% 123.61/124.07 coll( skol27, X, skol25 ), midp( skol27, X, skol25 ) }.
% 123.61/124.07 parent1[1]: (1356) {G10,W8,D2,L2,V3,M2} R(69,1270) { ! midp( X, Y, Z ),
% 123.61/124.07 coll( Z, Y, X ) }.
% 123.61/124.07 substitution0:
% 123.61/124.07 X := X
% 123.61/124.07 end
% 123.61/124.07 substitution1:
% 123.61/124.07 X := skol25
% 123.61/124.07 Y := X
% 123.61/124.07 Z := skol27
% 123.61/124.07 end
% 123.61/124.07
% 123.61/124.07 factor: (145136) {G2,W8,D2,L2,V1,M2} { ! midp( skol25, X, skol27 ), midp(
% 123.61/124.07 skol27, X, skol25 ) }.
% 123.61/124.07 parent0[0, 2]: (145135) {G2,W12,D2,L3,V1,M3} { ! midp( skol25, X, skol27 )
% 123.61/124.07 , midp( skol27, X, skol25 ), ! midp( skol25, X, skol27 ) }.
% 123.61/124.07 substitution0:
% 123.61/124.07 X := X
% 123.61/124.07 end
% 123.61/124.07
% 123.61/124.07 subsumption: (18521) {G11,W8,D2,L2,V1,M2} R(18478,45);r(1356) { ! midp(
% 123.61/124.07 skol25, X, skol27 ), midp( skol27, X, skol25 ) }.
% 123.61/124.07 parent0: (145136) {G2,W8,D2,L2,V1,M2} { ! midp( skol25, X, skol27 ), midp
% 123.61/124.07 ( skol27, X, skol25 ) }.
% 123.61/124.07 substitution0:
% 123.61/124.07 X := X
% 123.61/124.07 end
% 123.61/124.07 permutation0:
% 123.61/124.07 0 ==> 0
% 123.61/124.07 1 ==> 1
% 123.61/124.07 end
% 123.61/124.07
% 123.61/124.07 resolution: (145137) {G4,W6,D3,L1,V1,M1} { midp( skol7( skol27, X ),
% 123.61/124.07 skol27, X ) }.
% 123.61/124.07 parent0[0]: (8369) {G5,W10,D3,L2,V1,M2} R(150,339);r(711) { ! coll( skol29
% 123.61/124.07 , skol27, skol29 ), midp( skol7( skol27, X ), skol27, X ) }.
% 123.61/124.07 parent1[0]: (472) {G3,W4,D2,L1,V0,M1} R(205,175) { coll( skol29, skol27,
% 123.61/124.07 skol29 ) }.
% 123.61/124.07 substitution0:
% 123.61/124.07 X := X
% 123.61/124.07 end
% 123.61/124.07 substitution1:
% 123.61/124.07 end
% 123.61/124.07
% 123.61/124.07 subsumption: (20052) {G6,W6,D3,L1,V1,M1} S(8369);r(472) { midp( skol7(
% 123.61/124.07 skol27, X ), skol27, X ) }.
% 123.61/124.07 parent0: (145137) {G4,W6,D3,L1,V1,M1} { midp( skol7( skol27, X ), skol27,
% 123.61/124.07 X ) }.
% 123.61/124.07 substitution0:
% 123.61/124.07 X := X
% 123.61/124.07 end
% 123.61/124.07 permutation0:
% 123.61/124.07 0 ==> 0
% 123.61/124.07 end
% 123.61/124.07
% 123.61/124.07 resolution: (145138) {G7,W4,D2,L1,V1,M1} { coll( skol27, skol27, X ) }.
% 123.61/124.07 parent0[0]: (1352) {G11,W8,D2,L2,V3,M2} R(69,1274) { ! midp( X, Y, Z ),
% 123.61/124.07 coll( Y, Y, Z ) }.
% 123.61/124.07 parent1[0]: (20052) {G6,W6,D3,L1,V1,M1} S(8369);r(472) { midp( skol7(
% 123.61/124.07 skol27, X ), skol27, X ) }.
% 123.61/124.07 substitution0:
% 123.61/124.07 X := skol7( skol27, X )
% 123.61/124.07 Y := skol27
% 123.61/124.07 Z := X
% 123.61/124.07 end
% 123.61/124.07 substitution1:
% 123.61/124.07 X := X
% 123.61/124.07 end
% 123.61/124.07
% 123.61/124.07 subsumption: (20241) {G12,W4,D2,L1,V1,M1} R(20052,1352) { coll( skol27,
% 123.61/124.07 skol27, X ) }.
% 123.61/124.07 parent0: (145138) {G7,W4,D2,L1,V1,M1} { coll( skol27, skol27, X ) }.
% 123.61/124.07 substitution0:
% 123.61/124.07 X := X
% 123.61/124.07 end
% 123.61/124.07 permutation0:
% 123.61/124.07 0 ==> 0
% 123.61/124.07 end
% 123.61/124.07
% 123.61/124.07 resolution: (145139) {G1,W6,D3,L1,V1,M1} { midp( skol7( skol27, X ), X,
% 123.61/124.07 skol27 ) }.
% 123.61/124.07 parent0[0]: (10) {G0,W8,D2,L2,V3,M2} I { ! midp( Z, Y, X ), midp( Z, X, Y )
% 123.61/124.07 }.
% 123.61/124.07 parent1[0]: (20052) {G6,W6,D3,L1,V1,M1} S(8369);r(472) { midp( skol7(
% 123.61/124.07 skol27, X ), skol27, X ) }.
% 123.61/124.07 substitution0:
% 123.61/124.07 X := X
% 123.61/124.07 Y := skol27
% 123.61/124.07 Z := skol7( skol27, X )
% 123.61/124.07 end
% 123.61/124.07 substitution1:
% 123.61/124.07 X := X
% 123.61/124.07 end
% 123.61/124.07
% 123.61/124.07 subsumption: (20258) {G7,W6,D3,L1,V1,M1} R(20052,10) { midp( skol7( skol27
% 123.61/124.07 , X ), X, skol27 ) }.
% 123.61/124.07 parent0: (145139) {G1,W6,D3,L1,V1,M1} { midp( skol7( skol27, X ), X,
% 123.61/124.07 skol27 ) }.
% 123.61/124.07 substitution0:
% 123.61/124.07 X := X
% 123.61/124.07 end
% 123.61/124.07 permutation0:
% 123.61/124.07 0 ==> 0
% 123.61/124.07 end
% 123.61/124.07
% 123.61/124.07 resolution: (145140) {G2,W8,D2,L2,V2,M2} { ! coll( skol27, skol27, Y ),
% 123.61/124.07 coll( X, skol27, Y ) }.
% 123.61/124.07 parent0[0]: (200) {G1,W12,D2,L3,V4,M3} R(2,0) { ! coll( X, Y, Z ), ! coll(
% 123.61/124.07 X, Y, T ), coll( Z, X, T ) }.
% 123.61/124.07 parent1[0]: (20241) {G12,W4,D2,L1,V1,M1} R(20052,1352) { coll( skol27,
% 123.61/124.07 skol27, X ) }.
% 123.61/124.07 substitution0:
% 123.61/124.07 X := skol27
% 123.61/124.07 Y := skol27
% 123.61/124.07 Z := X
% 123.61/124.07 T := Y
% 123.61/124.07 end
% 123.61/124.07 substitution1:
% 123.61/124.07 X := X
% 123.61/124.07 end
% 123.61/124.07
% 123.61/124.07 resolution: (145142) {G3,W4,D2,L1,V2,M1} { coll( Y, skol27, X ) }.
% 123.61/124.07 parent0[0]: (145140) {G2,W8,D2,L2,V2,M2} { ! coll( skol27, skol27, Y ),
% 123.61/124.07 coll( X, skol27, Y ) }.
% 123.61/124.07 parent1[0]: (20241) {G12,W4,D2,L1,V1,M1} R(20052,1352) { coll( skol27,
% 123.61/124.07 skol27, X ) }.
% 123.61/124.07 substitution0:
% 123.61/124.07 X := Y
% 123.61/124.07 Y := X
% 123.61/124.07 end
% 123.61/124.07 substitution1:
% 123.61/124.07 X := X
% 123.61/124.07 end
% 123.61/124.07
% 123.61/124.07 subsumption: (20370) {G13,W4,D2,L1,V2,M1} R(20241,200);r(20241) { coll( Y,
% 123.61/124.07 skol27, X ) }.
% 123.61/124.07 parent0: (145142) {G3,W4,D2,L1,V2,M1} { coll( Y, skol27, X ) }.
% 123.61/124.07 substitution0:
% 123.61/124.07 X := X
% 123.61/124.07 Y := Y
% 123.61/124.07 end
% 123.61/124.07 permutation0:
% 123.61/124.07 0 ==> 0
% 123.61/124.07 end
% 123.61/124.07
% 123.61/124.07 resolution: (145143) {G2,W8,D2,L2,V3,M2} { ! coll( X, skol27, Z ), coll( Y
% 123.61/124.07 , X, Z ) }.
% 123.61/124.07 parent0[0]: (200) {G1,W12,D2,L3,V4,M3} R(2,0) { ! coll( X, Y, Z ), ! coll(
% 123.61/124.07 X, Y, T ), coll( Z, X, T ) }.
% 123.61/124.07 parent1[0]: (20370) {G13,W4,D2,L1,V2,M1} R(20241,200);r(20241) { coll( Y,
% 123.61/124.07 skol27, X ) }.
% 123.61/124.07 substitution0:
% 123.61/124.07 X := X
% 123.61/124.07 Y := skol27
% 123.61/124.07 Z := Y
% 123.61/124.07 T := Z
% 123.61/124.07 end
% 123.61/124.07 substitution1:
% 123.61/124.07 X := Y
% 123.61/124.07 Y := X
% 123.61/124.07 end
% 123.61/124.07
% 123.61/124.07 resolution: (145145) {G3,W4,D2,L1,V3,M1} { coll( Z, X, Y ) }.
% 123.61/124.07 parent0[0]: (145143) {G2,W8,D2,L2,V3,M2} { ! coll( X, skol27, Z ), coll( Y
% 123.61/124.07 , X, Z ) }.
% 123.61/124.07 parent1[0]: (20370) {G13,W4,D2,L1,V2,M1} R(20241,200);r(20241) { coll( Y,
% 123.61/124.07 skol27, X ) }.
% 123.61/124.07 substitution0:
% 123.61/124.07 X := X
% 123.61/124.07 Y := Z
% 123.61/124.07 Z := Y
% 123.61/124.07 end
% 123.61/124.07 substitution1:
% 123.61/124.07 X := Y
% 123.61/124.07 Y := X
% 123.61/124.07 end
% 123.61/124.07
% 123.61/124.07 subsumption: (20393) {G14,W4,D2,L1,V3,M1} R(20370,200);r(20370) { coll( Z,
% 123.61/124.07 X, Y ) }.
% 123.61/124.07 parent0: (145145) {G3,W4,D2,L1,V3,M1} { coll( Z, X, Y ) }.
% 123.61/124.07 substitution0:
% 123.61/124.07 X := X
% 123.61/124.07 Y := Y
% 123.61/124.07 Z := Z
% 123.61/124.07 end
% 123.61/124.07 permutation0:
% 123.61/124.07 0 ==> 0
% 123.61/124.07 end
% 123.61/124.07
% 123.61/124.07 resolution: (145147) {G6,W10,D2,L2,V0,M2} { para( skol27, skol25, skol27,
% 123.61/124.07 skol26 ), ! para( skol28, skol26, skol25, skol20 ) }.
% 123.61/124.07 parent0[0]: (353) {G7,W10,D2,L2,V2,M2} R(351,8) { ! perp( skol28, skol26, X
% 123.61/124.07 , Y ), para( skol27, skol25, X, Y ) }.
% 123.61/124.07 parent1[1]: (377) {G5,W10,D2,L2,V2,M2} R(375,9) { ! para( X, Y, skol25,
% 123.61/124.07 skol20 ), perp( X, Y, skol27, skol26 ) }.
% 123.61/124.07 substitution0:
% 123.61/124.07 X := skol27
% 123.61/124.07 Y := skol26
% 123.61/124.07 end
% 123.61/124.07 substitution1:
% 123.61/124.07 X := skol28
% 123.61/124.07 Y := skol26
% 123.61/124.07 end
% 123.61/124.07
% 123.61/124.07 subsumption: (23371) {G8,W10,D2,L2,V0,M2} R(377,353) { ! para( skol28,
% 123.61/124.07 skol26, skol25, skol20 ), para( skol27, skol25, skol27, skol26 ) }.
% 123.61/124.07 parent0: (145147) {G6,W10,D2,L2,V0,M2} { para( skol27, skol25, skol27,
% 123.61/124.07 skol26 ), ! para( skol28, skol26, skol25, skol20 ) }.
% 123.61/124.07 substitution0:
% 123.61/124.07 end
% 123.61/124.07 permutation0:
% 123.61/124.07 0 ==> 1
% 123.61/124.07 1 ==> 0
% 123.61/124.07 end
% 123.61/124.07
% 123.61/124.07 resolution: (145149) {G2,W10,D2,L2,V0,M2} { para( skol28, skol26, skol25,
% 123.61/124.07 skol20 ), ! para( skol25, skol27, skol27, skol26 ) }.
% 123.61/124.07 parent0[0]: (325) {G1,W10,D2,L2,V2,M2} R(118,8) { ! perp( skol25, skol27, X
% 123.61/124.07 , Y ), para( skol28, skol26, X, Y ) }.
% 123.61/124.07 parent1[1]: (381) {G6,W10,D2,L2,V2,M2} R(380,9) { ! para( X, Y, skol27,
% 123.61/124.07 skol26 ), perp( X, Y, skol25, skol20 ) }.
% 123.61/124.07 substitution0:
% 123.61/124.07 X := skol25
% 123.61/124.07 Y := skol20
% 123.61/124.07 end
% 123.61/124.07 substitution1:
% 123.61/124.07 X := skol25
% 123.61/124.07 Y := skol27
% 123.61/124.07 end
% 123.61/124.07
% 123.61/124.07 subsumption: (23627) {G7,W10,D2,L2,V0,M2} R(381,325) { ! para( skol25,
% 123.61/124.07 skol27, skol27, skol26 ), para( skol28, skol26, skol25, skol20 ) }.
% 123.61/124.07 parent0: (145149) {G2,W10,D2,L2,V0,M2} { para( skol28, skol26, skol25,
% 123.61/124.07 skol20 ), ! para( skol25, skol27, skol27, skol26 ) }.
% 123.61/124.07 substitution0:
% 123.61/124.07 end
% 123.61/124.07 permutation0:
% 123.61/124.07 0 ==> 1
% 123.61/124.07 1 ==> 0
% 123.61/124.07 end
% 123.61/124.07
% 123.61/124.07 resolution: (145150) {G8,W6,D3,L1,V0,M1} { midp( skol7( skol27, skol27 ),
% 123.61/124.07 skol25, skol25 ) }.
% 123.61/124.07 parent0[0]: (18481) {G8,W8,D2,L2,V1,M2} R(18229,144) { ! midp( X, skol27,
% 123.61/124.07 skol27 ), midp( X, skol25, skol25 ) }.
% 123.61/124.07 parent1[0]: (20258) {G7,W6,D3,L1,V1,M1} R(20052,10) { midp( skol7( skol27,
% 123.61/124.07 X ), X, skol27 ) }.
% 123.61/124.07 substitution0:
% 123.61/124.07 X := skol7( skol27, skol27 )
% 123.61/124.07 end
% 123.61/124.07 substitution1:
% 123.61/124.07 X := skol27
% 123.61/124.07 end
% 123.61/124.07
% 123.61/124.07 subsumption: (25946) {G9,W6,D3,L1,V0,M1} R(18481,20258) { midp( skol7(
% 123.61/124.07 skol27, skol27 ), skol25, skol25 ) }.
% 123.61/124.07 parent0: (145150) {G8,W6,D3,L1,V0,M1} { midp( skol7( skol27, skol27 ),
% 123.61/124.07 skol25, skol25 ) }.
% 123.61/124.07 substitution0:
% 123.61/124.07 end
% 123.61/124.07 permutation0:
% 123.61/124.07 0 ==> 0
% 123.61/124.07 end
% 123.61/124.07
% 123.61/124.07 resolution: (145151) {G7,W6,D3,L1,V0,M1} { midp( skol7( skol27, skol27 ),
% 123.61/124.07 skol20, skol20 ) }.
% 123.61/124.07 parent0[0]: (18473) {G6,W8,D2,L2,V1,M2} R(18228,144) { ! midp( X, skol25,
% 123.61/124.07 skol25 ), midp( X, skol20, skol20 ) }.
% 123.61/124.07 parent1[0]: (25946) {G9,W6,D3,L1,V0,M1} R(18481,20258) { midp( skol7(
% 123.61/124.07 skol27, skol27 ), skol25, skol25 ) }.
% 123.61/124.07 substitution0:
% 123.61/124.07 X := skol7( skol27, skol27 )
% 123.61/124.07 end
% 123.61/124.07 substitution1:
% 123.61/124.07 end
% 123.61/124.07
% 123.61/124.07 subsumption: (26111) {G10,W6,D3,L1,V0,M1} R(18473,25946) { midp( skol7(
% 123.61/124.07 skol27, skol27 ), skol20, skol20 ) }.
% 123.61/124.07 parent0: (145151) {G7,W6,D3,L1,V0,M1} { midp( skol7( skol27, skol27 ),
% 123.61/124.07 skol20, skol20 ) }.
% 123.61/124.07 substitution0:
% 123.61/124.07 end
% 123.61/124.07 permutation0:
% 123.61/124.07 0 ==> 0
% 123.61/124.07 end
% 123.61/124.07
% 123.61/124.07 resolution: (145152) {G11,W8,D2,L2,V1,M2} { ! midp( skol26, X, skol27 ),
% 123.61/124.07 midp( skol25, X, skol27 ) }.
% 123.61/124.07 parent0[1]: (17294) {G10,W12,D2,L3,V1,M3} R(17252,45) { ! midp( skol26, X,
% 123.61/124.07 skol27 ), ! coll( skol25, X, skol27 ), midp( skol25, X, skol27 ) }.
% 123.61/124.07 parent1[0]: (20393) {G14,W4,D2,L1,V3,M1} R(20370,200);r(20370) { coll( Z, X
% 123.61/124.07 , Y ) }.
% 123.61/124.07 substitution0:
% 123.61/124.07 X := X
% 123.61/124.07 end
% 123.61/124.07 substitution1:
% 123.61/124.07 X := X
% 123.61/124.07 Y := skol27
% 123.61/124.07 Z := skol25
% 123.61/124.07 end
% 123.61/124.07
% 123.61/124.07 subsumption: (40160) {G15,W8,D2,L2,V1,M2} S(17294);r(20393) { ! midp(
% 123.61/124.07 skol26, X, skol27 ), midp( skol25, X, skol27 ) }.
% 123.61/124.07 parent0: (145152) {G11,W8,D2,L2,V1,M2} { ! midp( skol26, X, skol27 ), midp
% 123.61/124.07 ( skol25, X, skol27 ) }.
% 123.61/124.07 substitution0:
% 123.61/124.07 X := X
% 123.61/124.07 end
% 123.61/124.07 permutation0:
% 123.61/124.07 0 ==> 0
% 123.61/124.07 1 ==> 1
% 123.61/124.07 end
% 123.61/124.07
% 123.61/124.07 resolution: (145153) {G12,W8,D2,L2,V1,M2} { midp( skol27, X, skol25 ), !
% 123.61/124.07 midp( skol26, X, skol27 ) }.
% 123.61/124.07 parent0[0]: (18521) {G11,W8,D2,L2,V1,M2} R(18478,45);r(1356) { ! midp(
% 123.61/124.07 skol25, X, skol27 ), midp( skol27, X, skol25 ) }.
% 123.61/124.07 parent1[1]: (40160) {G15,W8,D2,L2,V1,M2} S(17294);r(20393) { ! midp( skol26
% 123.61/124.08 , X, skol27 ), midp( skol25, X, skol27 ) }.
% 123.61/124.08 substitution0:
% 123.61/124.08 X := X
% 123.61/124.08 end
% 123.61/124.08 substitution1:
% 123.61/124.08 X := X
% 123.61/124.08 end
% 123.61/124.08
% 123.61/124.08 subsumption: (62259) {G16,W8,D2,L2,V1,M2} R(40160,18521) { ! midp( skol26,
% 123.61/124.08 X, skol27 ), midp( skol27, X, skol25 ) }.
% 123.61/124.08 parent0: (145153) {G12,W8,D2,L2,V1,M2} { midp( skol27, X, skol25 ), ! midp
% 123.61/124.08 ( skol26, X, skol27 ) }.
% 123.61/124.08 substitution0:
% 123.61/124.08 X := X
% 123.61/124.08 end
% 123.61/124.08 permutation0:
% 123.61/124.08 0 ==> 1
% 123.61/124.08 1 ==> 0
% 123.61/124.08 end
% 123.61/124.08
% 123.61/124.08 resolution: (145154) {G3,W5,D2,L1,V1,M1} { para( X, skol27, skol27, X )
% 123.61/124.08 }.
% 123.61/124.08 parent0[0]: (2120) {G2,W9,D2,L2,V3,M2} F(2104) { ! midp( X, Y, Z ), para( Y
% 123.61/124.08 , Z, Z, Y ) }.
% 123.61/124.08 parent1[0]: (20258) {G7,W6,D3,L1,V1,M1} R(20052,10) { midp( skol7( skol27,
% 123.61/124.08 X ), X, skol27 ) }.
% 123.61/124.08 substitution0:
% 123.61/124.08 X := skol7( skol27, X )
% 123.61/124.08 Y := X
% 123.61/124.08 Z := skol27
% 123.61/124.08 end
% 123.61/124.08 substitution1:
% 123.61/124.08 X := X
% 123.61/124.08 end
% 123.61/124.08
% 123.61/124.08 subsumption: (84026) {G8,W5,D2,L1,V1,M1} R(2120,20258) { para( X, skol27,
% 123.61/124.08 skol27, X ) }.
% 123.61/124.08 parent0: (145154) {G3,W5,D2,L1,V1,M1} { para( X, skol27, skol27, X ) }.
% 123.61/124.08 substitution0:
% 123.61/124.08 X := X
% 123.61/124.08 end
% 123.61/124.08 permutation0:
% 123.61/124.08 0 ==> 0
% 123.61/124.08 end
% 123.61/124.08
% 123.61/124.08 resolution: (145155) {G2,W5,D2,L1,V1,M1} { para( skol27, X, skol27, X )
% 123.61/124.08 }.
% 123.61/124.08 parent0[0]: (229) {G1,W10,D2,L2,V4,M2} R(4,3) { ! para( X, Y, Z, T ), para
% 123.61/124.08 ( Z, T, Y, X ) }.
% 123.61/124.08 parent1[0]: (84026) {G8,W5,D2,L1,V1,M1} R(2120,20258) { para( X, skol27,
% 123.61/124.08 skol27, X ) }.
% 123.61/124.08 substitution0:
% 123.61/124.08 X := X
% 123.61/124.08 Y := skol27
% 123.61/124.08 Z := skol27
% 123.61/124.08 T := X
% 123.61/124.08 end
% 123.61/124.08 substitution1:
% 123.61/124.08 X := X
% 123.61/124.08 end
% 123.61/124.08
% 123.61/124.08 subsumption: (85079) {G9,W5,D2,L1,V1,M1} R(84026,229) { para( skol27, X,
% 123.61/124.08 skol27, X ) }.
% 123.61/124.08 parent0: (145155) {G2,W5,D2,L1,V1,M1} { para( skol27, X, skol27, X ) }.
% 123.61/124.08 substitution0:
% 123.61/124.08 X := X
% 123.61/124.08 end
% 123.61/124.08 permutation0:
% 123.61/124.08 0 ==> 0
% 123.61/124.08 end
% 123.61/124.08
% 123.61/124.08 resolution: (145156) {G2,W5,D2,L1,V1,M1} { para( X, skol27, X, skol27 )
% 123.61/124.08 }.
% 123.61/124.08 parent0[1]: (228) {G1,W10,D2,L2,V4,M2} R(4,3) { para( X, Y, Z, T ), ! para
% 123.61/124.08 ( Z, T, Y, X ) }.
% 123.61/124.08 parent1[0]: (84026) {G8,W5,D2,L1,V1,M1} R(2120,20258) { para( X, skol27,
% 123.61/124.08 skol27, X ) }.
% 123.61/124.08 substitution0:
% 123.61/124.08 X := X
% 123.61/124.08 Y := skol27
% 123.61/124.08 Z := X
% 123.61/124.08 T := skol27
% 123.61/124.08 end
% 123.61/124.08 substitution1:
% 123.61/124.08 X := X
% 123.61/124.08 end
% 123.61/124.08
% 123.61/124.08 subsumption: (85080) {G9,W5,D2,L1,V1,M1} R(84026,228) { para( X, skol27, X
% 123.61/124.08 , skol27 ) }.
% 123.61/124.08 parent0: (145156) {G2,W5,D2,L1,V1,M1} { para( X, skol27, X, skol27 ) }.
% 123.61/124.08 substitution0:
% 123.61/124.08 X := X
% 123.61/124.08 end
% 123.61/124.08 permutation0:
% 123.61/124.08 0 ==> 0
% 123.61/124.08 end
% 123.61/124.08
% 123.61/124.08 resolution: (145157) {G2,W8,D2,L2,V2,M2} { ! midp( X, Y, Y ), midp( X,
% 123.61/124.08 skol27, skol27 ) }.
% 123.61/124.08 parent0[1]: (144) {G1,W13,D2,L3,V4,M3} F(64) { ! midp( X, Y, Z ), ! para( Y
% 123.61/124.08 , T, Z, T ), midp( X, T, T ) }.
% 123.61/124.08 parent1[0]: (85080) {G9,W5,D2,L1,V1,M1} R(84026,228) { para( X, skol27, X,
% 123.61/124.08 skol27 ) }.
% 123.61/124.08 substitution0:
% 123.61/124.08 X := X
% 123.61/124.08 Y := Y
% 123.61/124.08 Z := Y
% 123.61/124.08 T := skol27
% 123.61/124.08 end
% 123.61/124.08 substitution1:
% 123.61/124.08 X := Y
% 123.61/124.08 end
% 123.61/124.08
% 123.61/124.08 subsumption: (85088) {G10,W8,D2,L2,V2,M2} R(85080,144) { ! midp( X, Y, Y )
% 123.61/124.08 , midp( X, skol27, skol27 ) }.
% 123.61/124.08 parent0: (145157) {G2,W8,D2,L2,V2,M2} { ! midp( X, Y, Y ), midp( X, skol27
% 123.61/124.08 , skol27 ) }.
% 123.61/124.08 substitution0:
% 123.61/124.08 X := X
% 123.61/124.08 Y := Y
% 123.61/124.08 end
% 123.61/124.08 permutation0:
% 123.61/124.08 0 ==> 0
% 123.61/124.08 1 ==> 1
% 123.61/124.08 end
% 123.61/124.08
% 123.61/124.08 resolution: (145159) {G2,W13,D2,L3,V3,M3} { ! para( skol27, Y, skol27, Y )
% 123.61/124.08 , midp( X, Y, Y ), ! midp( X, Z, Z ) }.
% 123.61/124.08 parent0[0]: (144) {G1,W13,D2,L3,V4,M3} F(64) { ! midp( X, Y, Z ), ! para( Y
% 123.61/124.08 , T, Z, T ), midp( X, T, T ) }.
% 123.61/124.08 parent1[1]: (85088) {G10,W8,D2,L2,V2,M2} R(85080,144) { ! midp( X, Y, Y ),
% 123.61/124.08 midp( X, skol27, skol27 ) }.
% 123.61/124.08 substitution0:
% 123.61/124.08 X := X
% 123.61/124.08 Y := skol27
% 123.61/124.08 Z := skol27
% 123.61/124.08 T := Y
% 123.61/124.08 end
% 123.61/124.08 substitution1:
% 123.61/124.08 X := X
% 123.61/124.08 Y := Z
% 123.61/124.08 end
% 123.61/124.08
% 123.61/124.08 resolution: (145160) {G3,W8,D2,L2,V3,M2} { midp( Y, X, X ), ! midp( Y, Z,
% 123.61/124.08 Z ) }.
% 123.61/124.08 parent0[0]: (145159) {G2,W13,D2,L3,V3,M3} { ! para( skol27, Y, skol27, Y )
% 123.61/124.08 , midp( X, Y, Y ), ! midp( X, Z, Z ) }.
% 123.61/124.08 parent1[0]: (85079) {G9,W5,D2,L1,V1,M1} R(84026,229) { para( skol27, X,
% 123.61/124.08 skol27, X ) }.
% 123.61/124.08 substitution0:
% 123.61/124.08 X := Y
% 123.61/124.08 Y := X
% 123.61/124.08 Z := Z
% 123.61/124.08 end
% 123.61/124.08 substitution1:
% 123.61/124.08 X := X
% 123.61/124.08 end
% 123.61/124.08
% 123.61/124.08 subsumption: (85196) {G11,W8,D2,L2,V3,M2} R(85088,144);r(85079) { ! midp( X
% 123.61/124.08 , Y, Y ), midp( X, Z, Z ) }.
% 123.61/124.08 parent0: (145160) {G3,W8,D2,L2,V3,M2} { midp( Y, X, X ), ! midp( Y, Z, Z )
% 123.61/124.08 }.
% 123.61/124.08 substitution0:
% 123.61/124.08 X := Z
% 123.61/124.08 Y := X
% 123.61/124.08 Z := Y
% 123.61/124.08 end
% 123.61/124.08 permutation0:
% 123.61/124.08 0 ==> 1
% 123.61/124.08 1 ==> 0
% 123.61/124.08 end
% 123.61/124.08
% 123.61/124.08 resolution: (145163) {G3,W12,D2,L3,V4,M3} { ! midp( X, Y, Z ), midp( Y, X
% 123.61/124.08 , Z ), ! midp( X, T, T ) }.
% 123.61/124.08 parent0[0]: (2123) {G2,W12,D2,L3,V4,M3} F(2095);r(1374) { ! midp( X, X, Y )
% 123.61/124.08 , ! midp( X, Z, T ), midp( Z, X, T ) }.
% 123.61/124.08 parent1[1]: (85196) {G11,W8,D2,L2,V3,M2} R(85088,144);r(85079) { ! midp( X
% 123.61/124.08 , Y, Y ), midp( X, Z, Z ) }.
% 123.61/124.08 substitution0:
% 123.61/124.08 X := X
% 123.61/124.08 Y := X
% 123.61/124.08 Z := Y
% 123.61/124.08 T := Z
% 123.61/124.08 end
% 123.61/124.08 substitution1:
% 123.61/124.08 X := X
% 123.61/124.08 Y := T
% 123.61/124.08 Z := X
% 123.61/124.08 end
% 123.61/124.08
% 123.61/124.08 subsumption: (85202) {G12,W12,D2,L3,V4,M3} R(85196,2123) { ! midp( X, Y, Y
% 123.61/124.08 ), ! midp( X, Z, T ), midp( Z, X, T ) }.
% 123.61/124.08 parent0: (145163) {G3,W12,D2,L3,V4,M3} { ! midp( X, Y, Z ), midp( Y, X, Z
% 123.61/124.08 ), ! midp( X, T, T ) }.
% 123.61/124.08 substitution0:
% 123.61/124.08 X := X
% 123.61/124.08 Y := Z
% 123.61/124.08 Z := T
% 123.61/124.08 T := Y
% 123.61/124.08 end
% 123.61/124.08 permutation0:
% 123.61/124.08 0 ==> 1
% 123.61/124.08 1 ==> 2
% 123.61/124.08 2 ==> 0
% 123.61/124.08 end
% 123.61/124.08
% 123.61/124.08 resolution: (145167) {G11,W6,D3,L1,V1,M1} { midp( skol7( skol27, skol27 )
% 123.61/124.08 , X, X ) }.
% 123.61/124.08 parent0[0]: (85196) {G11,W8,D2,L2,V3,M2} R(85088,144);r(85079) { ! midp( X
% 123.61/124.08 , Y, Y ), midp( X, Z, Z ) }.
% 123.61/124.08 parent1[0]: (26111) {G10,W6,D3,L1,V0,M1} R(18473,25946) { midp( skol7(
% 123.61/124.08 skol27, skol27 ), skol20, skol20 ) }.
% 123.61/124.08 substitution0:
% 123.61/124.08 X := skol7( skol27, skol27 )
% 123.61/124.08 Y := skol20
% 123.61/124.08 Z := X
% 123.61/124.08 end
% 123.61/124.08 substitution1:
% 123.61/124.08 end
% 123.61/124.08
% 123.61/124.08 subsumption: (85495) {G12,W6,D3,L1,V1,M1} R(85196,26111) { midp( skol7(
% 123.61/124.08 skol27, skol27 ), X, X ) }.
% 123.61/124.08 parent0: (145167) {G11,W6,D3,L1,V1,M1} { midp( skol7( skol27, skol27 ), X
% 123.61/124.08 , X ) }.
% 123.61/124.08 substitution0:
% 123.61/124.08 X := X
% 123.61/124.08 end
% 123.61/124.08 permutation0:
% 123.61/124.08 0 ==> 0
% 123.61/124.08 end
% 123.61/124.08
% 123.61/124.08 factor: (145168) {G12,W8,D2,L2,V2,M2} { ! midp( X, Y, Y ), midp( Y, X, Y )
% 123.61/124.08 }.
% 123.61/124.08 parent0[0, 1]: (85202) {G12,W12,D2,L3,V4,M3} R(85196,2123) { ! midp( X, Y,
% 123.61/124.08 Y ), ! midp( X, Z, T ), midp( Z, X, T ) }.
% 123.61/124.08 substitution0:
% 123.61/124.08 X := X
% 123.61/124.08 Y := Y
% 123.61/124.08 Z := Y
% 123.61/124.08 T := Y
% 123.61/124.08 end
% 123.61/124.08
% 123.61/124.08 subsumption: (85508) {G13,W8,D2,L2,V2,M2} F(85202) { ! midp( X, Y, Y ),
% 123.61/124.08 midp( Y, X, Y ) }.
% 123.61/124.08 parent0: (145168) {G12,W8,D2,L2,V2,M2} { ! midp( X, Y, Y ), midp( Y, X, Y
% 123.61/124.08 ) }.
% 123.61/124.08 substitution0:
% 123.61/124.08 X := X
% 123.61/124.08 Y := Y
% 123.61/124.08 end
% 123.61/124.08 permutation0:
% 123.61/124.08 0 ==> 0
% 123.61/124.08 1 ==> 1
% 123.61/124.08 end
% 123.61/124.08
% 123.61/124.08 resolution: (145169) {G13,W6,D3,L1,V1,M1} { midp( X, skol7( skol27, skol27
% 123.61/124.08 ), X ) }.
% 123.61/124.08 parent0[0]: (85508) {G13,W8,D2,L2,V2,M2} F(85202) { ! midp( X, Y, Y ), midp
% 123.61/124.08 ( Y, X, Y ) }.
% 123.61/124.08 parent1[0]: (85495) {G12,W6,D3,L1,V1,M1} R(85196,26111) { midp( skol7(
% 123.61/124.08 skol27, skol27 ), X, X ) }.
% 123.61/124.08 substitution0:
% 123.61/124.08 X := skol7( skol27, skol27 )
% 123.61/124.08 Y := X
% 123.61/124.08 end
% 123.61/124.08 substitution1:
% 123.61/124.08 X := X
% 123.61/124.08 end
% 123.61/124.08
% 123.61/124.08 subsumption: (85708) {G14,W6,D3,L1,V1,M1} R(85508,85495) { midp( X, skol7(
% 123.61/124.08 skol27, skol27 ), X ) }.
% 123.61/124.08 parent0: (145169) {G13,W6,D3,L1,V1,M1} { midp( X, skol7( skol27, skol27 )
% 123.61/124.08 , X ) }.
% 123.61/124.08 substitution0:
% 123.61/124.08 X := X
% 123.61/124.08 end
% 123.61/124.08 permutation0:
% 123.61/124.08 0 ==> 0
% 123.61/124.08 end
% 123.61/124.08
% 123.61/124.08 resolution: (145170) {G1,W6,D3,L1,V1,M1} { midp( X, X, skol7( skol27,
% 123.61/124.08 skol27 ) ) }.
% 123.61/124.08 parent0[0]: (10) {G0,W8,D2,L2,V3,M2} I { ! midp( Z, Y, X ), midp( Z, X, Y )
% 123.61/124.08 }.
% 123.61/124.08 parent1[0]: (85708) {G14,W6,D3,L1,V1,M1} R(85508,85495) { midp( X, skol7(
% 123.61/124.08 skol27, skol27 ), X ) }.
% 123.61/124.08 substitution0:
% 123.61/124.08 X := X
% 123.61/124.08 Y := skol7( skol27, skol27 )
% 123.61/124.08 Z := X
% 123.61/124.08 end
% 123.61/124.08 substitution1:
% 123.61/124.08 X := X
% 123.61/124.08 end
% 123.61/124.08
% 123.61/124.08 subsumption: (85962) {G15,W6,D3,L1,V1,M1} R(85708,10) { midp( X, X, skol7(
% 123.61/124.08 skol27, skol27 ) ) }.
% 123.61/124.08 parent0: (145170) {G1,W6,D3,L1,V1,M1} { midp( X, X, skol7( skol27, skol27
% 123.61/124.08 ) ) }.
% 123.61/124.08 substitution0:
% 123.61/124.08 X := X
% 123.61/124.08 end
% 123.61/124.08 permutation0:
% 123.61/124.08 0 ==> 0
% 123.61/124.08 end
% 123.61/124.08
% 123.61/124.08 resolution: (145171) {G3,W8,D2,L2,V3,M2} { ! midp( X, Y, Z ), midp( Y, X,
% 123.61/124.08 Z ) }.
% 123.61/124.08 parent0[0]: (2123) {G2,W12,D2,L3,V4,M3} F(2095);r(1374) { ! midp( X, X, Y )
% 123.61/124.08 , ! midp( X, Z, T ), midp( Z, X, T ) }.
% 123.61/124.08 parent1[0]: (85962) {G15,W6,D3,L1,V1,M1} R(85708,10) { midp( X, X, skol7(
% 123.61/124.08 skol27, skol27 ) ) }.
% 123.61/124.08 substitution0:
% 123.61/124.08 X := X
% 123.61/124.08 Y := skol7( skol27, skol27 )
% 123.61/124.08 Z := Y
% 123.61/124.08 T := Z
% 123.61/124.08 end
% 123.61/124.08 substitution1:
% 123.61/124.08 X := X
% 123.61/124.08 end
% 123.61/124.08
% 123.61/124.08 subsumption: (85985) {G16,W8,D2,L2,V3,M2} R(85962,2123) { ! midp( X, Y, Z )
% 123.61/124.08 , midp( Y, X, Z ) }.
% 123.61/124.08 parent0: (145171) {G3,W8,D2,L2,V3,M2} { ! midp( X, Y, Z ), midp( Y, X, Z )
% 123.61/124.08 }.
% 123.61/124.08 substitution0:
% 123.61/124.08 X := X
% 123.61/124.08 Y := Y
% 123.61/124.08 Z := Z
% 123.61/124.08 end
% 123.61/124.08 permutation0:
% 123.61/124.08 0 ==> 0
% 123.61/124.08 1 ==> 1
% 123.61/124.08 end
% 123.61/124.08
% 123.61/124.08 resolution: (145173) {G2,W4,D2,L1,V0,M1} { midp( skol26, skol30, skol27 )
% 123.61/124.08 }.
% 123.61/124.08 parent0[0]: (85985) {G16,W8,D2,L2,V3,M2} R(85962,2123) { ! midp( X, Y, Z )
% 123.61/124.08 , midp( Y, X, Z ) }.
% 123.61/124.08 parent1[0]: (337) {G1,W4,D2,L1,V0,M1} R(10,124) { midp( skol30, skol26,
% 123.61/124.08 skol27 ) }.
% 123.61/124.08 substitution0:
% 123.61/124.08 X := skol30
% 123.61/124.08 Y := skol26
% 123.61/124.08 Z := skol27
% 123.61/124.08 end
% 123.61/124.08 substitution1:
% 123.61/124.08 end
% 123.61/124.08
% 123.61/124.08 subsumption: (100046) {G17,W4,D2,L1,V0,M1} R(85985,337) { midp( skol26,
% 123.61/124.08 skol30, skol27 ) }.
% 123.61/124.08 parent0: (145173) {G2,W4,D2,L1,V0,M1} { midp( skol26, skol30, skol27 ) }.
% 123.61/124.08 substitution0:
% 123.61/124.08 end
% 123.61/124.08 permutation0:
% 123.61/124.08 0 ==> 0
% 123.61/124.08 end
% 123.61/124.08
% 123.61/124.08 resolution: (145174) {G17,W4,D2,L1,V0,M1} { midp( skol27, skol30, skol25 )
% 123.61/124.08 }.
% 123.61/124.08 parent0[0]: (62259) {G16,W8,D2,L2,V1,M2} R(40160,18521) { ! midp( skol26, X
% 123.61/124.08 , skol27 ), midp( skol27, X, skol25 ) }.
% 123.61/124.08 parent1[0]: (100046) {G17,W4,D2,L1,V0,M1} R(85985,337) { midp( skol26,
% 123.61/124.08 skol30, skol27 ) }.
% 123.61/124.08 substitution0:
% 123.61/124.08 X := skol30
% 123.61/124.08 end
% 123.61/124.08 substitution1:
% 123.61/124.08 end
% 123.61/124.08
% 123.61/124.08 subsumption: (100654) {G18,W4,D2,L1,V0,M1} R(100046,62259) { midp( skol27,
% 123.61/124.08 skol30, skol25 ) }.
% 123.61/124.08 parent0: (145174) {G17,W4,D2,L1,V0,M1} { midp( skol27, skol30, skol25 )
% 123.61/124.08 }.
% 123.61/124.08 substitution0:
% 123.61/124.08 end
% 123.61/124.08 permutation0:
% 123.61/124.08 0 ==> 0
% 123.61/124.08 end
% 123.61/124.08
% 123.61/124.08 resolution: (145175) {G17,W4,D2,L1,V0,M1} { midp( skol30, skol27, skol25 )
% 123.61/124.08 }.
% 123.61/124.08 parent0[0]: (85985) {G16,W8,D2,L2,V3,M2} R(85962,2123) { ! midp( X, Y, Z )
% 123.61/124.08 , midp( Y, X, Z ) }.
% 123.61/124.08 parent1[0]: (100654) {G18,W4,D2,L1,V0,M1} R(100046,62259) { midp( skol27,
% 123.61/124.08 skol30, skol25 ) }.
% 123.61/124.08 substitution0:
% 123.61/124.08 X := skol27
% 123.61/124.08 Y := skol30
% 123.61/124.08 Z := skol25
% 123.61/124.08 end
% 123.61/124.08 substitution1:
% 123.61/124.08 end
% 123.61/124.08
% 123.61/124.08 subsumption: (100828) {G19,W4,D2,L1,V0,M1} R(100654,85985) { midp( skol30,
% 123.61/124.08 skol27, skol25 ) }.
% 123.61/124.08 parent0: (145175) {G17,W4,D2,L1,V0,M1} { midp( skol30, skol27, skol25 )
% 123.61/124.08 }.
% 123.61/124.08 substitution0:
% 123.61/124.08 end
% 123.61/124.08 permutation0:
% 123.61/124.08 0 ==> 0
% 123.61/124.08 end
% 123.61/124.08
% 123.61/124.08 resolution: (145176) {G2,W5,D2,L1,V0,M1} { cong( skol30, skol25, skol30,
% 123.61/124.08 skol27 ) }.
% 123.61/124.08 parent0[0]: (2561) {G1,W9,D2,L2,V3,M2} R(68,23) { ! midp( X, Y, Z ), cong(
% 123.61/124.08 X, Z, X, Y ) }.
% 123.61/124.08 parent1[0]: (100828) {G19,W4,D2,L1,V0,M1} R(100654,85985) { midp( skol30,
% 123.61/124.08 skol27, skol25 ) }.
% 123.61/124.08 substitution0:
% 123.61/124.08 X := skol30
% 123.61/124.08 Y := skol27
% 123.61/124.08 Z := skol25
% 123.61/124.08 end
% 123.61/124.08 substitution1:
% 123.61/124.08 end
% 123.61/124.08
% 123.61/124.08 subsumption: (100947) {G20,W5,D2,L1,V0,M1} R(100828,2561) { cong( skol30,
% 123.61/124.08 skol25, skol30, skol27 ) }.
% 123.61/124.08 parent0: (145176) {G2,W5,D2,L1,V0,M1} { cong( skol30, skol25, skol30,
% 123.61/124.08 skol27 ) }.
% 123.61/124.08 substitution0:
% 123.61/124.08 end
% 123.61/124.08 permutation0:
% 123.61/124.08 0 ==> 0
% 123.61/124.08 end
% 123.61/124.08
% 123.61/124.08 resolution: (145177) {G1,W5,D2,L1,V0,M1} { cong( skol30, skol27, skol30,
% 123.61/124.08 skol25 ) }.
% 123.61/124.08 parent0[0]: (68) {G0,W9,D2,L2,V3,M2} I { ! midp( X, Y, Z ), cong( X, Y, X,
% 123.61/124.08 Z ) }.
% 123.61/124.08 parent1[0]: (100828) {G19,W4,D2,L1,V0,M1} R(100654,85985) { midp( skol30,
% 123.61/124.08 skol27, skol25 ) }.
% 123.61/124.08 substitution0:
% 123.61/124.08 X := skol30
% 123.61/124.08 Y := skol27
% 123.61/124.08 Z := skol25
% 123.61/124.08 end
% 123.61/124.08 substitution1:
% 123.61/124.08 end
% 123.61/124.08
% 123.61/124.08 subsumption: (101034) {G20,W5,D2,L1,V0,M1} R(100828,68) { cong( skol30,
% 123.61/124.08 skol27, skol30, skol25 ) }.
% 123.61/124.08 parent0: (145177) {G1,W5,D2,L1,V0,M1} { cong( skol30, skol27, skol30,
% 123.61/124.08 skol25 ) }.
% 123.61/124.08 substitution0:
% 123.61/124.08 end
% 123.61/124.08 permutation0:
% 123.61/124.08 0 ==> 0
% 123.61/124.08 end
% 123.61/124.08
% 123.61/124.08 resolution: (145178) {G1,W4,D2,L1,V0,M1} { midp( skol30, skol25, skol27 )
% 123.61/124.08 }.
% 123.61/124.08 parent0[0]: (10) {G0,W8,D2,L2,V3,M2} I { ! midp( Z, Y, X ), midp( Z, X, Y )
% 123.61/124.08 }.
% 123.61/124.08 parent1[0]: (100828) {G19,W4,D2,L1,V0,M1} R(100654,85985) { midp( skol30,
% 123.61/124.08 skol27, skol25 ) }.
% 123.61/124.08 substitution0:
% 123.61/124.08 X := skol25
% 123.61/124.08 Y := skol27
% 123.61/124.08 Z := skol30
% 123.61/124.08 end
% 123.61/124.08 substitution1:
% 123.61/124.08 end
% 123.61/124.08
% 123.61/124.08 subsumption: (101043) {G20,W4,D2,L1,V0,M1} R(100828,10) { midp( skol30,
% 123.61/124.08 skol25, skol27 ) }.
% 123.61/124.08 parent0: (145178) {G1,W4,D2,L1,V0,M1} { midp( skol30, skol25, skol27 ) }.
% 123.61/124.08 substitution0:
% 123.61/124.08 end
% 123.61/124.08 permutation0:
% 123.61/124.08 0 ==> 0
% 123.61/124.08 end
% 123.61/124.08
% 123.61/124.08 resolution: (145179) {G2,W5,D2,L1,V0,M1} { para( skol25, skol27, skol27,
% 123.61/124.08 skol26 ) }.
% 123.61/124.08 parent0[0]: (2111) {G1,W9,D2,L2,V2,M2} R(63,124) { ! midp( skol30, X, Y ),
% 123.61/124.08 para( X, skol27, Y, skol26 ) }.
% 123.61/124.08 parent1[0]: (101043) {G20,W4,D2,L1,V0,M1} R(100828,10) { midp( skol30,
% 123.61/124.08 skol25, skol27 ) }.
% 123.61/124.08 substitution0:
% 123.61/124.08 X := skol25
% 123.61/124.08 Y := skol27
% 123.61/124.08 end
% 123.61/124.08 substitution1:
% 123.61/124.08 end
% 123.61/124.08
% 123.61/124.08 subsumption: (101069) {G21,W5,D2,L1,V0,M1} R(101043,2111) { para( skol25,
% 123.61/124.08 skol27, skol27, skol26 ) }.
% 123.61/124.08 parent0: (145179) {G2,W5,D2,L1,V0,M1} { para( skol25, skol27, skol27,
% 123.61/124.08 skol26 ) }.
% 123.61/124.08 substitution0:
% 123.61/124.08 end
% 123.61/124.08 permutation0:
% 123.61/124.08 0 ==> 0
% 123.61/124.08 end
% 123.61/124.08
% 123.61/124.08 resolution: (145180) {G8,W5,D2,L1,V0,M1} { para( skol28, skol26, skol25,
% 123.61/124.08 skol20 ) }.
% 123.61/124.08 parent0[0]: (23627) {G7,W10,D2,L2,V0,M2} R(381,325) { ! para( skol25,
% 123.61/124.08 skol27, skol27, skol26 ), para( skol28, skol26, skol25, skol20 ) }.
% 123.61/124.08 parent1[0]: (101069) {G21,W5,D2,L1,V0,M1} R(101043,2111) { para( skol25,
% 123.61/124.08 skol27, skol27, skol26 ) }.
% 123.61/124.08 substitution0:
% 123.61/124.08 end
% 123.61/124.08 substitution1:
% 123.61/124.08 end
% 123.61/124.08
% 123.61/124.08 subsumption: (101542) {G22,W5,D2,L1,V0,M1} S(23627);r(101069) { para(
% 123.61/124.08 skol28, skol26, skol25, skol20 ) }.
% 123.61/124.08 parent0: (145180) {G8,W5,D2,L1,V0,M1} { para( skol28, skol26, skol25,
% 123.61/124.08 skol20 ) }.
% 123.61/124.08 substitution0:
% 123.61/124.08 end
% 123.61/124.08 permutation0:
% 123.61/124.08 0 ==> 0
% 123.61/124.08 end
% 123.61/124.08
% 123.61/124.08 resolution: (145181) {G9,W5,D2,L1,V0,M1} { para( skol27, skol25, skol27,
% 123.61/124.08 skol26 ) }.
% 123.61/124.08 parent0[0]: (23371) {G8,W10,D2,L2,V0,M2} R(377,353) { ! para( skol28,
% 123.61/124.08 skol26, skol25, skol20 ), para( skol27, skol25, skol27, skol26 ) }.
% 123.61/124.08 parent1[0]: (101542) {G22,W5,D2,L1,V0,M1} S(23627);r(101069) { para( skol28
% 123.61/124.08 , skol26, skol25, skol20 ) }.
% 123.61/124.08 substitution0:
% 123.61/124.08 end
% 123.61/124.08 substitution1:
% 123.61/124.08 end
% 123.61/124.08
% 123.61/124.08 subsumption: (101545) {G23,W5,D2,L1,V0,M1} S(23371);r(101542) { para(
% 123.61/124.08 skol27, skol25, skol27, skol26 ) }.
% 123.61/124.08 parent0: (145181) {G9,W5,D2,L1,V0,M1} { para( skol27, skol25, skol27,
% 123.61/124.08 skol26 ) }.
% 123.61/124.08 substitution0:
% 123.61/124.08 end
% 123.61/124.08 permutation0:
% 123.61/124.08 0 ==> 0
% 123.61/124.08 end
% 123.61/124.08
% 123.61/124.08 resolution: (145182) {G3,W5,D2,L1,V0,M1} { cyclic( skol25, skol27, skol27
% 123.61/124.08 , skol27 ) }.
% 123.61/124.08 parent0[0]: (134) {G2,W10,D2,L2,V3,M2} F(133) { ! cong( X, Y, X, Z ),
% 123.61/124.08 cyclic( Y, Z, Z, Z ) }.
% 123.61/124.08 parent1[0]: (100947) {G20,W5,D2,L1,V0,M1} R(100828,2561) { cong( skol30,
% 123.61/124.08 skol25, skol30, skol27 ) }.
% 123.61/124.08 substitution0:
% 123.61/124.08 X := skol30
% 123.61/124.08 Y := skol25
% 123.61/124.08 Z := skol27
% 123.61/124.08 end
% 123.61/124.08 substitution1:
% 123.61/124.08 end
% 123.61/124.08
% 123.61/124.08 subsumption: (116424) {G21,W5,D2,L1,V0,M1} R(100947,134) { cyclic( skol25,
% 123.61/124.08 skol27, skol27, skol27 ) }.
% 123.61/124.08 parent0: (145182) {G3,W5,D2,L1,V0,M1} { cyclic( skol25, skol27, skol27,
% 123.61/124.08 skol27 ) }.
% 123.61/124.08 substitution0:
% 123.61/124.08 end
% 123.61/124.08 permutation0:
% 123.61/124.08 0 ==> 0
% 123.61/124.08 end
% 123.61/124.08
% 123.61/124.08 resolution: (145183) {G4,W5,D2,L1,V0,M1} { cong( skol30, skol26, skol30,
% 123.61/124.08 skol25 ) }.
% 123.61/124.08 parent0[0]: (2756) {G3,W10,D2,L2,V2,M2} R(2570,24) { ! cong( skol30, skol27
% 123.61/124.08 , X, Y ), cong( skol30, skol26, X, Y ) }.
% 123.61/124.08 parent1[0]: (101034) {G20,W5,D2,L1,V0,M1} R(100828,68) { cong( skol30,
% 123.61/124.08 skol27, skol30, skol25 ) }.
% 123.61/124.08 substitution0:
% 123.61/124.08 X := skol30
% 123.61/124.08 Y := skol25
% 123.61/124.08 end
% 123.61/124.08 substitution1:
% 123.61/124.08 end
% 123.61/124.08
% 123.61/124.08 subsumption: (130508) {G21,W5,D2,L1,V0,M1} R(2756,101034) { cong( skol30,
% 123.61/124.08 skol26, skol30, skol25 ) }.
% 123.61/124.08 parent0: (145183) {G4,W5,D2,L1,V0,M1} { cong( skol30, skol26, skol30,
% 123.61/124.08 skol25 ) }.
% 123.61/124.08 substitution0:
% 123.61/124.08 end
% 123.61/124.08 permutation0:
% 123.61/124.08 0 ==> 0
% 123.61/124.08 end
% 123.61/124.08
% 123.61/124.08 resolution: (145184) {G5,W5,D2,L1,V0,M1} { cyclic( skol26, skol25, skol25
% 123.61/124.08 , skol27 ) }.
% 123.61/124.08 parent0[0]: (2764) {G4,W10,D2,L2,V1,M2} F(2761) { ! cong( skol30, skol26,
% 123.61/124.08 skol30, X ), cyclic( skol26, X, X, skol27 ) }.
% 123.61/124.08 parent1[0]: (130508) {G21,W5,D2,L1,V0,M1} R(2756,101034) { cong( skol30,
% 123.61/124.08 skol26, skol30, skol25 ) }.
% 123.61/124.08 substitution0:
% 123.61/124.08 X := skol25
% 123.61/124.08 end
% 123.61/124.08 substitution1:
% 123.61/124.08 end
% 123.61/124.08
% 123.61/124.08 subsumption: (131900) {G22,W5,D2,L1,V0,M1} R(2764,130508) { cyclic( skol26
% 123.61/124.08 , skol25, skol25, skol27 ) }.
% 123.61/124.08 parent0: (145184) {G5,W5,D2,L1,V0,M1} { cyclic( skol26, skol25, skol25,
% 123.61/124.08 skol27 ) }.
% 123.61/124.08 substitution0:
% 123.61/124.08 end
% 123.61/124.08 permutation0:
% 123.61/124.08 0 ==> 0
% 123.61/124.08 end
% 123.61/124.08
% 123.61/124.08 resolution: (145185) {G2,W5,D2,L1,V0,M1} { cyclic( skol25, skol26, skol27
% 123.61/124.08 , skol25 ) }.
% 123.61/124.08 parent0[1]: (401) {G1,W10,D2,L2,V4,M2} R(15,13) { cyclic( X, Y, Z, T ), !
% 123.61/124.08 cyclic( Y, X, T, Z ) }.
% 123.61/124.08 parent1[0]: (131900) {G22,W5,D2,L1,V0,M1} R(2764,130508) { cyclic( skol26,
% 123.61/124.08 skol25, skol25, skol27 ) }.
% 123.61/124.08 substitution0:
% 123.61/124.08 X := skol25
% 123.61/124.08 Y := skol26
% 123.61/124.08 Z := skol27
% 123.61/124.08 T := skol25
% 123.61/124.08 end
% 123.61/124.08 substitution1:
% 123.61/124.08 end
% 123.61/124.08
% 123.61/124.08 subsumption: (131994) {G23,W5,D2,L1,V0,M1} R(131900,401) { cyclic( skol25,
% 123.61/124.08 skol26, skol27, skol25 ) }.
% 123.61/124.08 parent0: (145185) {G2,W5,D2,L1,V0,M1} { cyclic( skol25, skol26, skol27,
% 123.61/124.08 skol25 ) }.
% 123.61/124.08 substitution0:
% 123.61/124.08 end
% 123.61/124.08 permutation0:
% 123.61/124.08 0 ==> 0
% 123.61/124.08 end
% 123.61/124.08
% 123.61/124.08 resolution: (145186) {G3,W5,D2,L1,V0,M1} { cyclic( skol27, skol26, skol25
% 123.61/124.08 , skol25 ) }.
% 123.61/124.08 parent0[0]: (434) {G2,W10,D2,L2,V4,M2} F(422) { ! cyclic( X, Y, Z, T ),
% 123.61/124.08 cyclic( Z, Y, T, T ) }.
% 123.61/124.08 parent1[0]: (131994) {G23,W5,D2,L1,V0,M1} R(131900,401) { cyclic( skol25,
% 123.61/124.08 skol26, skol27, skol25 ) }.
% 123.61/124.08 substitution0:
% 123.61/124.08 X := skol25
% 123.61/124.08 Y := skol26
% 123.61/124.08 Z := skol27
% 123.61/124.08 T := skol25
% 123.61/124.08 end
% 123.61/124.08 substitution1:
% 123.61/124.08 end
% 123.61/124.08
% 123.61/124.08 subsumption: (133199) {G24,W5,D2,L1,V0,M1} R(131994,434) { cyclic( skol27,
% 123.61/124.08 skol26, skol25, skol25 ) }.
% 123.61/124.08 parent0: (145186) {G3,W5,D2,L1,V0,M1} { cyclic( skol27, skol26, skol25,
% 123.61/124.08 skol25 ) }.
% 123.61/124.08 substitution0:
% 123.61/124.08 end
% 123.61/124.08 permutation0:
% 123.61/124.08 0 ==> 0
% 123.61/124.08 end
% 123.61/124.08
% 123.61/124.08 resolution: (145187) {G2,W5,D2,L1,V0,M1} { cyclic( skol27, skol25, skol25
% 123.61/124.08 , skol26 ) }.
% 123.61/124.08 parent0[0]: (390) {G1,W10,D2,L2,V4,M2} R(14,13) { ! cyclic( X, Y, Z, T ),
% 123.61/124.08 cyclic( X, Z, T, Y ) }.
% 123.61/124.08 parent1[0]: (133199) {G24,W5,D2,L1,V0,M1} R(131994,434) { cyclic( skol27,
% 123.61/124.08 skol26, skol25, skol25 ) }.
% 123.61/124.08 substitution0:
% 123.61/124.08 X := skol27
% 123.61/124.08 Y := skol26
% 123.61/124.08 Z := skol25
% 123.61/124.08 T := skol25
% 123.61/124.08 end
% 123.61/124.08 substitution1:
% 123.61/124.08 end
% 123.61/124.08
% 123.61/124.08 subsumption: (133231) {G25,W5,D2,L1,V0,M1} R(133199,390) { cyclic( skol27,
% 123.61/124.08 skol25, skol25, skol26 ) }.
% 123.61/124.08 parent0: (145187) {G2,W5,D2,L1,V0,M1} { cyclic( skol27, skol25, skol25,
% 123.61/124.08 skol26 ) }.
% 123.61/124.08 substitution0:
% 123.61/124.08 end
% 123.61/124.08 permutation0:
% 123.61/124.08 0 ==> 0
% 123.61/124.08 end
% 123.61/124.08
% 123.61/124.08 resolution: (145188) {G2,W5,D2,L1,V0,M1} { cyclic( skol25, skol25, skol27
% 123.61/124.08 , skol26 ) }.
% 123.61/124.08 parent0[0]: (399) {G1,W10,D2,L2,V4,M2} R(15,14) { ! cyclic( X, Y, Z, T ),
% 123.61/124.08 cyclic( Y, Z, X, T ) }.
% 123.61/124.08 parent1[0]: (133231) {G25,W5,D2,L1,V0,M1} R(133199,390) { cyclic( skol27,
% 123.61/124.08 skol25, skol25, skol26 ) }.
% 123.61/124.08 substitution0:
% 123.61/124.08 X := skol27
% 123.61/124.08 Y := skol25
% 123.61/124.08 Z := skol25
% 123.61/124.08 T := skol26
% 123.61/124.08 end
% 123.61/124.08 substitution1:
% 123.61/124.08 end
% 123.61/124.08
% 123.61/124.08 subsumption: (133273) {G26,W5,D2,L1,V0,M1} R(133231,399) { cyclic( skol25,
% 123.61/124.08 skol25, skol27, skol26 ) }.
% 123.61/124.08 parent0: (145188) {G2,W5,D2,L1,V0,M1} { cyclic( skol25, skol25, skol27,
% 123.61/124.08 skol26 ) }.
% 123.61/124.08 substitution0:
% 123.61/124.08 end
% 123.61/124.08 permutation0:
% 123.61/124.08 0 ==> 0
% 123.61/124.08 end
% 123.61/124.08
% 123.61/124.08 resolution: (145189) {G3,W5,D2,L1,V0,M1} { cyclic( skol27, skol25, skol26
% 123.61/124.08 , skol26 ) }.
% 123.61/124.08 parent0[0]: (434) {G2,W10,D2,L2,V4,M2} F(422) { ! cyclic( X, Y, Z, T ),
% 123.61/124.08 cyclic( Z, Y, T, T ) }.
% 123.61/124.08 parent1[0]: (133273) {G26,W5,D2,L1,V0,M1} R(133231,399) { cyclic( skol25,
% 123.61/124.08 skol25, skol27, skol26 ) }.
% 123.61/124.08 substitution0:
% 123.61/124.08 X := skol25
% 123.61/124.08 Y := skol25
% 123.61/124.08 Z := skol27
% 123.61/124.08 T := skol26
% 123.61/124.08 end
% 123.61/124.08 substitution1:
% 123.61/124.08 end
% 123.61/124.08
% 123.61/124.08 subsumption: (133307) {G27,W5,D2,L1,V0,M1} R(133273,434) { cyclic( skol27,
% 123.61/124.08 skol25, skol26, skol26 ) }.
% 123.61/124.08 parent0: (145189) {G3,W5,D2,L1,V0,M1} { cyclic( skol27, skol25, skol26,
% 123.61/124.08 skol26 ) }.
% 123.61/124.08 substitution0:
% 123.61/124.08 end
% 123.61/124.08 permutation0:
% 123.61/124.08 0 ==> 0
% 123.61/124.08 end
% 123.61/124.08
% 123.61/124.08 resolution: (145190) {G2,W5,D2,L1,V0,M1} { cyclic( skol26, skol27, skol25
% 123.61/124.08 , skol26 ) }.
% 123.61/124.08 parent0[1]: (398) {G1,W10,D2,L2,V4,M2} R(15,14) { cyclic( X, Y, Z, T ), !
% 123.61/124.08 cyclic( Y, Z, X, T ) }.
% 123.61/124.08 parent1[0]: (133307) {G27,W5,D2,L1,V0,M1} R(133273,434) { cyclic( skol27,
% 123.61/124.08 skol25, skol26, skol26 ) }.
% 123.61/124.08 substitution0:
% 123.61/124.08 X := skol26
% 123.61/124.08 Y := skol27
% 123.61/124.08 Z := skol25
% 123.61/124.08 T := skol26
% 123.61/124.08 end
% 123.61/124.08 substitution1:
% 123.61/124.08 end
% 123.61/124.08
% 123.61/124.08 subsumption: (136014) {G28,W5,D2,L1,V0,M1} R(133307,398) { cyclic( skol26,
% 123.61/124.08 skol27, skol25, skol26 ) }.
% 123.61/124.08 parent0: (145190) {G2,W5,D2,L1,V0,M1} { cyclic( skol26, skol27, skol25,
% 123.61/124.08 skol26 ) }.
% 123.61/124.08 substitution0:
% 123.61/124.08 end
% 123.61/124.08 permutation0:
% 123.61/124.08 0 ==> 0
% 123.61/124.08 end
% 123.61/124.08
% 123.61/124.08 resolution: (145191) {G2,W5,D2,L1,V0,M1} { cyclic( skol26, skol25, skol26
% 123.61/124.08 , skol27 ) }.
% 123.61/124.08 parent0[0]: (390) {G1,W10,D2,L2,V4,M2} R(14,13) { ! cyclic( X, Y, Z, T ),
% 123.61/124.08 cyclic( X, Z, T, Y ) }.
% 123.61/124.08 parent1[0]: (136014) {G28,W5,D2,L1,V0,M1} R(133307,398) { cyclic( skol26,
% 123.61/124.08 skol27, skol25, skol26 ) }.
% 123.61/124.08 substitution0:
% 123.61/124.08 X := skol26
% 123.61/124.08 Y := skol27
% 123.61/124.08 Z := skol25
% 123.61/124.08 T := skol26
% 123.61/124.08 end
% 123.61/124.08 substitution1:
% 123.61/124.08 end
% 123.61/124.08
% 123.61/124.08 subsumption: (136033) {G29,W5,D2,L1,V0,M1} R(136014,390) { cyclic( skol26,
% 123.61/124.08 skol25, skol26, skol27 ) }.
% 123.61/124.08 parent0: (145191) {G2,W5,D2,L1,V0,M1} { cyclic( skol26, skol25, skol26,
% 123.61/124.08 skol27 ) }.
% 123.61/124.08 substitution0:
% 123.61/124.08 end
% 123.61/124.08 permutation0:
% 123.61/124.08 0 ==> 0
% 123.61/124.08 end
% 123.61/124.08
% 123.61/124.08 resolution: (145192) {G3,W5,D2,L1,V0,M1} { cyclic( skol26, skol25, skol27
% 123.61/124.08 , skol27 ) }.
% 123.61/124.08 parent0[0]: (434) {G2,W10,D2,L2,V4,M2} F(422) { ! cyclic( X, Y, Z, T ),
% 123.61/124.08 cyclic( Z, Y, T, T ) }.
% 123.61/124.08 parent1[0]: (136033) {G29,W5,D2,L1,V0,M1} R(136014,390) { cyclic( skol26,
% 123.61/124.08 skol25, skol26, skol27 ) }.
% 123.61/124.08 substitution0:
% 123.61/124.08 X := skol26
% 123.61/124.08 Y := skol25
% 123.61/124.08 Z := skol26
% 123.61/124.08 T := skol27
% 123.61/124.08 end
% 123.61/124.08 substitution1:
% 123.61/124.08 end
% 123.61/124.08
% 123.61/124.08 subsumption: (136052) {G30,W5,D2,L1,V0,M1} R(136033,434) { cyclic( skol26,
% 123.61/124.08 skol25, skol27, skol27 ) }.
% 123.61/124.08 parent0: (145192) {G3,W5,D2,L1,V0,M1} { cyclic( skol26, skol25, skol27,
% 123.61/124.08 skol27 ) }.
% 123.61/124.08 substitution0:
% 123.61/124.08 end
% 123.61/124.08 permutation0:
% 123.61/124.08 0 ==> 0
% 123.61/124.08 end
% 123.61/124.08
% 123.61/124.08 resolution: (145193) {G2,W5,D2,L1,V0,M1} { cyclic( skol27, skol26, skol25
% 123.61/124.08 , skol27 ) }.
% 123.61/124.08 parent0[1]: (398) {G1,W10,D2,L2,V4,M2} R(15,14) { cyclic( X, Y, Z, T ), !
% 123.61/124.08 cyclic( Y, Z, X, T ) }.
% 123.61/124.08 parent1[0]: (136052) {G30,W5,D2,L1,V0,M1} R(136033,434) { cyclic( skol26,
% 123.61/124.08 skol25, skol27, skol27 ) }.
% 123.61/124.08 substitution0:
% 123.61/124.08 X := skol27
% 123.61/124.08 Y := skol26
% 123.61/124.08 Z := skol25
% 123.61/124.08 T := skol27
% 123.61/124.08 end
% 123.61/124.08 substitution1:
% 123.61/124.08 end
% 123.61/124.08
% 123.61/124.08 subsumption: (140725) {G31,W5,D2,L1,V0,M1} R(136052,398) { cyclic( skol27,
% 123.61/124.08 skol26, skol25, skol27 ) }.
% 123.61/124.08 parent0: (145193) {G2,W5,D2,L1,V0,M1} { cyclic( skol27, skol26, skol25,
% 123.61/124.08 skol27 ) }.
% 123.61/124.08 substitution0:
% 123.61/124.08 end
% 123.61/124.08 permutation0:
% 123.61/124.08 0 ==> 0
% 123.61/124.08 end
% 123.61/124.08
% 123.61/124.08 resolution: (145194) {G2,W5,D2,L1,V0,M1} { cyclic( skol27, skol25, skol27
% 123.61/124.08 , skol26 ) }.
% 123.61/124.08 parent0[0]: (390) {G1,W10,D2,L2,V4,M2} R(14,13) { ! cyclic( X, Y, Z, T ),
% 123.61/124.08 cyclic( X, Z, T, Y ) }.
% 123.61/124.08 parent1[0]: (140725) {G31,W5,D2,L1,V0,M1} R(136052,398) { cyclic( skol27,
% 123.61/124.08 skol26, skol25, skol27 ) }.
% 123.61/124.08 substitution0:
% 123.61/124.08 X := skol27
% 123.61/124.08 Y := skol26
% 123.61/124.08 Z := skol25
% 123.61/124.08 T := skol27
% 123.61/124.08 end
% 123.61/124.08 substitution1:
% 123.61/124.08 end
% 123.61/124.08
% 123.61/124.08 subsumption: (140744) {G32,W5,D2,L1,V0,M1} R(140725,390) { cyclic( skol27,
% 123.61/124.08 skol25, skol27, skol26 ) }.
% 123.61/124.08 parent0: (145194) {G2,W5,D2,L1,V0,M1} { cyclic( skol27, skol25, skol27,
% 123.61/124.08 skol26 ) }.
% 123.61/124.08 substitution0:
% 123.61/124.08 end
% 123.61/124.08 permutation0:
% 123.61/124.08 0 ==> 0
% 123.61/124.08 end
% 123.61/124.08
% 123.61/124.08 resolution: (145195) {G2,W5,D2,L1,V0,M1} { cyclic( skol25, skol27, skol27
% 123.61/124.08 , skol26 ) }.
% 123.61/124.08 parent0[0]: (399) {G1,W10,D2,L2,V4,M2} R(15,14) { ! cyclic( X, Y, Z, T ),
% 123.61/124.08 cyclic( Y, Z, X, T ) }.
% 123.61/124.08 parent1[0]: (140744) {G32,W5,D2,L1,V0,M1} R(140725,390) { cyclic( skol27,
% 123.61/124.08 skol25, skol27, skol26 ) }.
% 123.61/124.08 substitution0:
% 123.61/124.08 X := skol27
% 123.61/124.08 Y := skol25
% 123.61/124.08 Z := skol27
% 123.61/124.08 T := skol26
% 123.61/124.08 end
% 123.61/124.08 substitution1:
% 123.61/124.08 end
% 123.61/124.08
% 123.61/124.08 subsumption: (140846) {G33,W5,D2,L1,V0,M1} R(140744,399) { cyclic( skol25,
% 123.61/124.08 skol27, skol27, skol26 ) }.
% 123.61/124.08 parent0: (145195) {G2,W5,D2,L1,V0,M1} { cyclic( skol25, skol27, skol27,
% 123.61/124.08 skol26 ) }.
% 123.61/124.08 substitution0:
% 123.61/124.08 end
% 123.61/124.08 permutation0:
% 123.61/124.08 0 ==> 0
% 123.61/124.08 end
% 123.61/124.08
% 123.61/124.08 resolution: (145196) {G2,W20,D2,L4,V0,M4} { ! cyclic( skol25, skol27,
% 123.61/124.08 skol27, skol27 ), ! cyclic( skol25, skol27, skol27, skol27 ), cong(
% 123.61/124.08 skol25, skol27, skol26, skol27 ), ! para( skol27, skol25, skol27, skol26
% 123.61/124.08 ) }.
% 123.61/124.08 parent0[0]: (1021) {G1,W25,D2,L5,V4,M5} R(43,39) { ! cyclic( X, Y, Z, T ),
% 123.61/124.08 ! cyclic( X, Y, Z, Y ), ! cyclic( X, Y, Z, Z ), cong( X, Y, T, Y ), !
% 123.61/124.08 para( Z, X, Z, T ) }.
% 123.61/124.08 parent1[0]: (140846) {G33,W5,D2,L1,V0,M1} R(140744,399) { cyclic( skol25,
% 123.61/124.08 skol27, skol27, skol26 ) }.
% 123.61/124.08 substitution0:
% 123.61/124.08 X := skol25
% 123.61/124.08 Y := skol27
% 123.61/124.08 Z := skol27
% 123.61/124.08 T := skol26
% 123.61/124.08 end
% 123.61/124.08 substitution1:
% 123.61/124.08 end
% 123.61/124.08
% 123.61/124.08 factor: (145197) {G2,W15,D2,L3,V0,M3} { ! cyclic( skol25, skol27, skol27,
% 123.61/124.08 skol27 ), cong( skol25, skol27, skol26, skol27 ), ! para( skol27, skol25
% 123.61/124.08 , skol27, skol26 ) }.
% 123.61/124.08 parent0[0, 1]: (145196) {G2,W20,D2,L4,V0,M4} { ! cyclic( skol25, skol27,
% 123.61/124.08 skol27, skol27 ), ! cyclic( skol25, skol27, skol27, skol27 ), cong(
% 123.61/124.08 skol25, skol27, skol26, skol27 ), ! para( skol27, skol25, skol27, skol26
% 123.61/124.08 ) }.
% 123.61/124.08 substitution0:
% 123.61/124.08 end
% 123.61/124.08
% 123.61/124.08 resolution: (145199) {G3,W10,D2,L2,V0,M2} { cong( skol25, skol27, skol26,
% 123.61/124.08 skol27 ), ! para( skol27, skol25, skol27, skol26 ) }.
% 123.61/124.08 parent0[0]: (145197) {G2,W15,D2,L3,V0,M3} { ! cyclic( skol25, skol27,
% 123.61/124.08 skol27, skol27 ), cong( skol25, skol27, skol26, skol27 ), ! para( skol27
% 123.61/124.08 , skol25, skol27, skol26 ) }.
% 123.61/124.08 parent1[0]: (116424) {G21,W5,D2,L1,V0,M1} R(100947,134) { cyclic( skol25,
% 123.61/124.08 skol27, skol27, skol27 ) }.
% 123.61/124.08 substitution0:
% 123.61/124.08 end
% 123.61/124.08 substitution1:
% 123.61/124.08 end
% 123.61/124.08
% 123.61/124.08 subsumption: (140858) {G34,W10,D2,L2,V0,M2} R(140846,1021);f;r(116424) {
% 123.61/124.08 cong( skol25, skol27, skol26, skol27 ), ! para( skol27, skol25, skol27,
% 123.61/124.08 skol26 ) }.
% 123.61/124.08 parent0: (145199) {G3,W10,D2,L2,V0,M2} { cong( skol25, skol27, skol26,
% 123.61/124.08 skol27 ), ! para( skol27, skol25, skol27, skol26 ) }.
% 123.61/124.08 substitution0:
% 123.61/124.08 end
% 123.61/124.08 permutation0:
% 123.61/124.08 0 ==> 0
% 123.61/124.08 1 ==> 1
% 123.61/124.08 end
% 123.61/124.08
% 123.61/124.08 resolution: (145200) {G24,W5,D2,L1,V0,M1} { cong( skol25, skol27, skol26,
% 123.61/124.08 skol27 ) }.
% 123.61/124.08 parent0[1]: (140858) {G34,W10,D2,L2,V0,M2} R(140846,1021);f;r(116424) {
% 123.61/124.08 cong( skol25, skol27, skol26, skol27 ), ! para( skol27, skol25, skol27,
% 123.61/124.08 skol26 ) }.
% 123.61/124.08 parent1[0]: (101545) {G23,W5,D2,L1,V0,M1} S(23371);r(101542) { para( skol27
% 123.61/124.08 , skol25, skol27, skol26 ) }.
% 123.61/124.08 substitution0:
% 123.61/124.08 end
% 123.61/124.08 substitution1:
% 123.61/124.08 end
% 123.61/124.08
% 123.61/124.08 subsumption: (141622) {G35,W5,D2,L1,V0,M1} S(140858);r(101545) { cong(
% 123.61/124.08 skol25, skol27, skol26, skol27 ) }.
% 123.61/124.08 parent0: (145200) {G24,W5,D2,L1,V0,M1} { cong( skol25, skol27, skol26,
% 123.61/124.08 skol27 ) }.
% 123.61/124.08 substitution0:
% 123.61/124.08 end
% 123.61/124.08 permutation0:
% 123.61/124.08 0 ==> 0
% 123.61/124.08 end
% 123.61/124.08
% 123.61/124.08 resolution: (145201) {G3,W5,D2,L1,V0,M1} { perp( skol27, skol27, skol25,
% 123.61/124.08 skol26 ) }.
% 123.61/124.08 parent0[0]: (1831) {G2,W10,D2,L2,V3,M2} F(1830) { ! cong( X, Y, Z, Y ),
% 123.61/124.08 perp( Y, Y, X, Z ) }.
% 123.61/124.08 parent1[0]: (141622) {G35,W5,D2,L1,V0,M1} S(140858);r(101545) { cong(
% 123.61/124.08 skol25, skol27, skol26, skol27 ) }.
% 123.61/124.08 substitution0:
% 123.61/124.08 X := skol25
% 123.61/124.08 Y := skol27
% 123.61/124.08 Z := skol26
% 123.61/124.08 end
% 123.61/124.08 substitution1:
% 123.61/124.08 end
% 123.61/124.08
% 123.61/124.08 subsumption: (141829) {G36,W5,D2,L1,V0,M1} R(141622,1831) { perp( skol27,
% 123.61/124.08 skol27, skol25, skol26 ) }.
% 123.61/124.08 parent0: (145201) {G3,W5,D2,L1,V0,M1} { perp( skol27, skol27, skol25,
% 123.61/124.08 skol26 ) }.
% 123.61/124.08 substitution0:
% 123.61/124.08 end
% 123.61/124.08 permutation0:
% 123.61/124.08 0 ==> 0
% 123.61/124.08 end
% 123.61/124.08
% 123.61/124.08 resolution: (145202) {G3,W5,D2,L1,V0,M1} { para( skol27, skol27, skol29,
% 123.61/124.08 skol27 ) }.
% 123.61/124.08 parent0[0]: (281) {G2,W10,D2,L2,V2,M2} R(8,274) { ! perp( X, Y, skol25,
% 123.61/124.08 skol26 ), para( X, Y, skol29, skol27 ) }.
% 123.61/124.08 parent1[0]: (141829) {G36,W5,D2,L1,V0,M1} R(141622,1831) { perp( skol27,
% 123.61/124.08 skol27, skol25, skol26 ) }.
% 123.61/124.08 substitution0:
% 123.61/124.08 X := skol27
% 123.61/124.08 Y := skol27
% 123.61/124.08 end
% 123.61/124.08 substitution1:
% 123.61/124.08 end
% 123.61/124.08
% 123.61/124.08 subsumption: (141996) {G37,W5,D2,L1,V0,M1} R(141829,281) { para( skol27,
% 123.61/124.08 skol27, skol29, skol27 ) }.
% 123.61/124.08 parent0: (145202) {G3,W5,D2,L1,V0,M1} { para( skol27, skol27, skol29,
% 123.61/124.08 skol27 ) }.
% 123.61/124.08 substitution0:
% 123.61/124.08 end
% 123.61/124.08 permutation0:
% 123.61/124.08 0 ==> 0
% 123.61/124.08 end
% 123.61/124.08
% 123.61/124.08 resolution: (145203) {G3,W9,D2,L2,V0,M2} { ! para( skol27, skol27, skol29
% 123.61/124.08 , skol27 ), midp( skol24, skol27, skol27 ) }.
% 123.61/124.08 parent0[0]: (2158) {G2,W14,D2,L3,V2,M3} R(64,339) { ! para( skol27, X,
% 123.61/124.08 skol29, Y ), ! para( skol27, Y, skol29, X ), midp( skol24, X, Y ) }.
% 123.61/124.08 parent1[0]: (141996) {G37,W5,D2,L1,V0,M1} R(141829,281) { para( skol27,
% 123.61/124.08 skol27, skol29, skol27 ) }.
% 123.61/124.08 substitution0:
% 123.61/124.08 X := skol27
% 123.61/124.08 Y := skol27
% 123.61/124.08 end
% 123.61/124.08 substitution1:
% 123.61/124.08 end
% 123.61/124.08
% 123.61/124.08 resolution: (145204) {G4,W4,D2,L1,V0,M1} { midp( skol24, skol27, skol27 )
% 123.61/124.08 }.
% 123.61/124.08 parent0[0]: (145203) {G3,W9,D2,L2,V0,M2} { ! para( skol27, skol27, skol29
% 123.61/124.08 , skol27 ), midp( skol24, skol27, skol27 ) }.
% 123.61/124.08 parent1[0]: (141996) {G37,W5,D2,L1,V0,M1} R(141829,281) { para( skol27,
% 123.61/124.08 skol27, skol29, skol27 ) }.
% 123.61/124.08 substitution0:
% 123.61/124.08 end
% 123.61/124.08 substitution1:
% 123.61/124.08 end
% 123.61/124.08
% 123.61/124.08 subsumption: (142017) {G38,W4,D2,L1,V0,M1} R(141996,2158);r(141996) { midp
% 123.61/124.08 ( skol24, skol27, skol27 ) }.
% 123.61/124.08 parent0: (145204) {G4,W4,D2,L1,V0,M1} { midp( skol24, skol27, skol27 ) }.
% 123.61/124.08 substitution0:
% 123.61/124.08 end
% 123.61/124.08 permutation0:
% 123.61/124.08 0 ==> 0
% 123.61/124.08 end
% 123.61/124.08
% 123.61/124.08 resolution: (145205) {G12,W4,D2,L1,V1,M1} { midp( skol24, X, X ) }.
% 123.61/124.08 parent0[0]: (85196) {G11,W8,D2,L2,V3,M2} R(85088,144);r(85079) { ! midp( X
% 123.61/124.08 , Y, Y ), midp( X, Z, Z ) }.
% 123.61/124.08 parent1[0]: (142017) {G38,W4,D2,L1,V0,M1} R(141996,2158);r(141996) { midp(
% 123.61/124.08 skol24, skol27, skol27 ) }.
% 123.61/124.08 substitution0:
% 123.61/124.08 X := skol24
% 123.61/124.08 Y := skol27
% 123.61/124.08 Z := X
% 123.61/124.08 end
% 123.61/124.08 substitution1:
% 123.61/124.08 end
% 123.61/124.08
% 123.61/124.08 subsumption: (142115) {G39,W4,D2,L1,V1,M1} R(142017,85196) { midp( skol24,
% 123.61/124.08 X, X ) }.
% 123.61/124.08 parent0: (145205) {G12,W4,D2,L1,V1,M1} { midp( skol24, X, X ) }.
% 123.61/124.08 substitution0:
% 123.61/124.08 X := X
% 123.61/124.08 end
% 123.61/124.08 permutation0:
% 123.61/124.08 0 ==> 0
% 123.61/124.08 end
% 123.61/124.08
% 123.61/124.08 resolution: (145206) {G17,W4,D2,L1,V1,M1} { midp( X, skol24, X ) }.
% 123.61/124.08 parent0[0]: (85985) {G16,W8,D2,L2,V3,M2} R(85962,2123) { ! midp( X, Y, Z )
% 123.61/124.08 , midp( Y, X, Z ) }.
% 123.61/124.08 parent1[0]: (142115) {G39,W4,D2,L1,V1,M1} R(142017,85196) { midp( skol24, X
% 123.61/124.08 , X ) }.
% 123.61/124.08 substitution0:
% 123.61/124.08 X := skol24
% 123.61/124.08 Y := X
% 123.61/124.08 Z := X
% 123.61/124.08 end
% 123.61/124.08 substitution1:
% 123.61/124.08 X := X
% 123.61/124.08 end
% 123.61/124.08
% 123.61/124.08 subsumption: (142204) {G40,W4,D2,L1,V1,M1} R(142115,85985) { midp( X,
% 123.61/124.08 skol24, X ) }.
% 123.61/124.08 parent0: (145206) {G17,W4,D2,L1,V1,M1} { midp( X, skol24, X ) }.
% 123.61/124.08 substitution0:
% 123.61/124.08 X := X
% 123.61/124.08 end
% 123.61/124.08 permutation0:
% 123.61/124.08 0 ==> 0
% 123.61/124.08 end
% 123.61/124.08
% 123.61/124.08 resolution: (145207) {G2,W5,D2,L1,V1,M1} { cong( X, skol24, X, X ) }.
% 123.61/124.08 parent0[0]: (2562) {G1,W9,D2,L2,V3,M2} R(68,22) { ! midp( X, Y, Z ), cong(
% 123.61/124.08 X, Y, Z, X ) }.
% 123.61/124.08 parent1[0]: (142204) {G40,W4,D2,L1,V1,M1} R(142115,85985) { midp( X, skol24
% 123.61/124.08 , X ) }.
% 123.61/124.08 substitution0:
% 123.61/124.08 X := X
% 123.61/124.08 Y := skol24
% 123.61/124.08 Z := X
% 123.61/124.08 end
% 123.61/124.08 substitution1:
% 123.61/124.08 X := X
% 123.61/124.08 end
% 123.61/124.08
% 123.61/124.08 subsumption: (142403) {G41,W5,D2,L1,V1,M1} R(142204,2562) { cong( X, skol24
% 123.61/124.08 , X, X ) }.
% 123.61/124.08 parent0: (145207) {G2,W5,D2,L1,V1,M1} { cong( X, skol24, X, X ) }.
% 123.61/124.08 substitution0:
% 123.61/124.08 X := X
% 123.61/124.08 end
% 123.61/124.08 permutation0:
% 123.61/124.08 0 ==> 0
% 123.61/124.08 end
% 123.61/124.08
% 123.61/124.08 resolution: (145208) {G1,W4,D2,L1,V1,M1} { midp( X, X, skol24 ) }.
% 123.61/124.08 parent0[0]: (10) {G0,W8,D2,L2,V3,M2} I { ! midp( Z, Y, X ), midp( Z, X, Y )
% 123.61/124.08 }.
% 123.61/124.08 parent1[0]: (142204) {G40,W4,D2,L1,V1,M1} R(142115,85985) { midp( X, skol24
% 123.61/124.08 , X ) }.
% 123.61/124.08 substitution0:
% 123.61/124.08 X := X
% 123.61/124.08 Y := skol24
% 123.61/124.08 Z := X
% 123.61/124.08 end
% 123.61/124.08 substitution1:
% 123.61/124.08 X := X
% 123.61/124.08 end
% 123.61/124.08
% 123.61/124.08 subsumption: (142509) {G41,W4,D2,L1,V1,M1} R(142204,10) { midp( X, X,
% 123.61/124.08 skol24 ) }.
% 123.61/124.08 parent0: (145208) {G1,W4,D2,L1,V1,M1} { midp( X, X, skol24 ) }.
% 123.61/124.08 substitution0:
% 123.61/124.08 X := X
% 123.61/124.08 end
% 123.61/124.08 permutation0:
% 123.61/124.08 0 ==> 0
% 123.61/124.08 end
% 123.61/124.08
% 123.61/124.08 resolution: (145209) {G2,W5,D2,L1,V1,M1} { cong( X, X, skol24, X ) }.
% 123.61/124.08 parent0[0]: (2562) {G1,W9,D2,L2,V3,M2} R(68,22) { ! midp( X, Y, Z ), cong(
% 123.61/124.08 X, Y, Z, X ) }.
% 123.61/124.08 parent1[0]: (142509) {G41,W4,D2,L1,V1,M1} R(142204,10) { midp( X, X, skol24
% 123.61/124.08 ) }.
% 123.61/124.08 substitution0:
% 123.61/124.08 X := X
% 123.61/124.08 Y := X
% 123.61/124.08 Z := skol24
% 123.61/124.08 end
% 123.61/124.08 substitution1:
% 123.61/124.08 X := X
% 123.61/124.08 end
% 123.61/124.08
% 123.61/124.08 subsumption: (142545) {G42,W5,D2,L1,V1,M1} R(142509,2562) { cong( X, X,
% 123.61/124.08 skol24, X ) }.
% 123.61/124.08 parent0: (145209) {G2,W5,D2,L1,V1,M1} { cong( X, X, skol24, X ) }.
% 123.61/124.08 substitution0:
% 123.61/124.08 X := X
% 123.61/124.08 end
% 123.61/124.08 permutation0:
% 123.61/124.08 0 ==> 0
% 123.61/124.08 end
% 123.61/124.08
% 123.61/124.08 resolution: (145210) {G3,W5,D2,L1,V1,M1} { perp( X, X, X, skol24 ) }.
% 123.61/124.08 parent0[0]: (1831) {G2,W10,D2,L2,V3,M2} F(1830) { ! cong( X, Y, Z, Y ),
% 123.61/124.08 perp( Y, Y, X, Z ) }.
% 123.61/124.08 parent1[0]: (142545) {G42,W5,D2,L1,V1,M1} R(142509,2562) { cong( X, X,
% 123.61/124.08 skol24, X ) }.
% 123.61/124.08 substitution0:
% 123.61/124.08 X := X
% 123.61/124.08 Y := X
% 123.61/124.08 Z := skol24
% 123.61/124.08 end
% 123.61/124.08 substitution1:
% 123.61/124.08 X := X
% 123.61/124.08 end
% 123.61/124.08
% 123.61/124.08 subsumption: (143562) {G43,W5,D2,L1,V1,M1} R(142545,1831) { perp( X, X, X,
% 123.61/124.08 skol24 ) }.
% 123.61/124.08 parent0: (145210) {G3,W5,D2,L1,V1,M1} { perp( X, X, X, skol24 ) }.
% 123.61/124.08 substitution0:
% 123.61/124.08 X := X
% 123.61/124.08 end
% 123.61/124.08 permutation0:
% 123.61/124.08 0 ==> 0
% 123.61/124.08 end
% 123.61/124.08
% 123.61/124.08 resolution: (145211) {G2,W5,D2,L1,V1,M1} { perp( skol24, X, X, X ) }.
% 123.61/124.08 parent0[1]: (272) {G1,W10,D2,L2,V4,M2} R(7,6) { perp( X, Y, Z, T ), ! perp
% 123.61/124.08 ( Z, T, Y, X ) }.
% 123.61/124.08 parent1[0]: (143562) {G43,W5,D2,L1,V1,M1} R(142545,1831) { perp( X, X, X,
% 123.61/124.08 skol24 ) }.
% 123.61/124.08 substitution0:
% 123.61/124.08 X := skol24
% 123.61/124.08 Y := X
% 123.61/124.08 Z := X
% 123.61/124.08 T := X
% 123.61/124.08 end
% 123.61/124.08 substitution1:
% 123.61/124.08 X := X
% 123.61/124.08 end
% 123.61/124.08
% 123.61/124.08 subsumption: (143681) {G44,W5,D2,L1,V1,M1} R(143562,272) { perp( skol24, X
% 123.61/124.08 , X, X ) }.
% 123.61/124.08 parent0: (145211) {G2,W5,D2,L1,V1,M1} { perp( skol24, X, X, X ) }.
% 123.61/124.08 substitution0:
% 123.61/124.08 X := X
% 123.61/124.08 end
% 123.61/124.08 permutation0:
% 123.61/124.08 0 ==> 0
% 123.61/124.08 end
% 123.61/124.08
% 123.61/124.08 resolution: (145212) {G2,W10,D2,L2,V1,M2} { perp( X, skol24, skol24, X ),
% 123.61/124.08 ! cong( X, skol24, X, X ) }.
% 123.61/124.08 parent0[0]: (2784) {G1,W15,D2,L3,V3,M3} R(73,46) { ! perp( X, Y, Z, Y ),
% 123.61/124.08 perp( Z, X, X, Y ), ! cong( Z, X, Z, Y ) }.
% 123.61/124.08 parent1[0]: (143681) {G44,W5,D2,L1,V1,M1} R(143562,272) { perp( skol24, X,
% 123.61/124.08 X, X ) }.
% 123.61/124.08 substitution0:
% 123.61/124.08 X := skol24
% 123.61/124.08 Y := X
% 123.61/124.08 Z := X
% 123.61/124.08 end
% 123.61/124.08 substitution1:
% 123.61/124.08 X := X
% 123.61/124.08 end
% 123.61/124.08
% 123.61/124.08 resolution: (145213) {G3,W5,D2,L1,V1,M1} { perp( X, skol24, skol24, X )
% 123.61/124.08 }.
% 123.61/124.08 parent0[1]: (145212) {G2,W10,D2,L2,V1,M2} { perp( X, skol24, skol24, X ),
% 123.61/124.08 ! cong( X, skol24, X, X ) }.
% 123.61/124.08 parent1[0]: (142403) {G41,W5,D2,L1,V1,M1} R(142204,2562) { cong( X, skol24
% 123.61/124.08 , X, X ) }.
% 123.61/124.08 substitution0:
% 123.61/124.08 X := X
% 123.61/124.08 end
% 123.61/124.08 substitution1:
% 123.61/124.08 X := X
% 123.61/124.08 end
% 123.61/124.08
% 123.61/124.08 subsumption: (143696) {G45,W5,D2,L1,V1,M1} R(143681,2784);r(142403) { perp
% 123.61/124.08 ( X, skol24, skol24, X ) }.
% 123.61/124.08 parent0: (145213) {G3,W5,D2,L1,V1,M1} { perp( X, skol24, skol24, X ) }.
% 123.61/124.08 substitution0:
% 123.61/124.08 X := X
% 123.61/124.08 end
% 123.61/124.08 permutation0:
% 123.61/124.08 0 ==> 0
% 123.61/124.08 end
% 123.61/124.08
% 123.61/124.08 resolution: (145214) {G2,W9,D2,L2,V1,M2} { ! midp( X, X, skol24 ), cong(
% 123.61/124.08 skol24, X, skol24, skol24 ) }.
% 123.61/124.08 parent0[2]: (1789) {G1,W14,D2,L3,V4,M3} R(55,7) { ! midp( X, Y, Z ), cong(
% 123.61/124.08 T, Y, T, Z ), ! perp( Y, Z, T, X ) }.
% 123.61/124.08 parent1[0]: (143696) {G45,W5,D2,L1,V1,M1} R(143681,2784);r(142403) { perp(
% 123.61/124.08 X, skol24, skol24, X ) }.
% 123.61/124.08 substitution0:
% 123.61/124.08 X := X
% 123.61/124.08 Y := X
% 123.61/124.08 Z := skol24
% 123.61/124.08 T := skol24
% 123.61/124.08 end
% 123.61/124.08 substitution1:
% 123.61/124.08 X := X
% 123.61/124.08 end
% 123.61/124.08
% 123.61/124.08 resolution: (145215) {G3,W5,D2,L1,V1,M1} { cong( skol24, X, skol24, skol24
% 123.61/124.08 ) }.
% 123.61/124.08 parent0[0]: (145214) {G2,W9,D2,L2,V1,M2} { ! midp( X, X, skol24 ), cong(
% 123.61/124.08 skol24, X, skol24, skol24 ) }.
% 123.61/124.08 parent1[0]: (142509) {G41,W4,D2,L1,V1,M1} R(142204,10) { midp( X, X, skol24
% 123.61/124.08 ) }.
% 123.61/124.08 substitution0:
% 123.61/124.08 X := X
% 123.61/124.08 end
% 123.61/124.08 substitution1:
% 123.61/124.08 X := X
% 123.61/124.08 end
% 123.61/124.08
% 123.61/124.08 subsumption: (143764) {G46,W5,D2,L1,V1,M1} R(143696,1789);r(142509) { cong
% 123.61/124.08 ( skol24, X, skol24, skol24 ) }.
% 123.61/124.08 parent0: (145215) {G3,W5,D2,L1,V1,M1} { cong( skol24, X, skol24, skol24 )
% 123.61/124.08 }.
% 123.61/124.08 substitution0:
% 123.61/124.08 X := X
% 123.61/124.08 end
% 123.61/124.08 permutation0:
% 123.61/124.08 0 ==> 0
% 123.61/124.08 end
% 123.61/124.08
% 123.61/124.08 resolution: (145216) {G2,W15,D2,L3,V3,M3} { ! cong( skol24, skol24, skol24
% 123.61/124.08 , Y ), ! cong( skol24, skol24, skol24, Z ), cyclic( skol24, Y, Z, X ) }.
% 123.61/124.08 parent0[0]: (546) {G1,W20,D2,L4,V5,M4} R(23,12) { ! cong( X, Y, X, Z ), !
% 123.61/124.08 cong( X, Z, X, T ), ! cong( X, Z, X, U ), cyclic( Z, T, U, Y ) }.
% 123.61/124.08 parent1[0]: (143764) {G46,W5,D2,L1,V1,M1} R(143696,1789);r(142509) { cong(
% 123.61/124.08 skol24, X, skol24, skol24 ) }.
% 123.61/124.08 substitution0:
% 123.61/124.08 X := skol24
% 123.61/124.08 Y := X
% 123.61/124.08 Z := skol24
% 123.61/124.08 T := Y
% 123.61/124.08 U := Z
% 123.61/124.08 end
% 123.61/124.08 substitution1:
% 123.61/124.08 X := X
% 123.61/124.08 end
% 123.61/124.08
% 123.61/124.08 subsumption: (143932) {G47,W15,D2,L3,V3,M3} R(143764,546) { ! cong( skol24
% 123.61/124.08 , skol24, skol24, X ), ! cong( skol24, skol24, skol24, Y ), cyclic(
% 123.61/124.08 skol24, X, Y, Z ) }.
% 123.61/124.08 parent0: (145216) {G2,W15,D2,L3,V3,M3} { ! cong( skol24, skol24, skol24, Y
% 123.61/124.08 ), ! cong( skol24, skol24, skol24, Z ), cyclic( skol24, Y, Z, X ) }.
% 123.61/124.08 substitution0:
% 123.61/124.08 X := Z
% 123.61/124.08 Y := X
% 123.61/124.08 Z := Y
% 123.61/124.08 end
% 123.61/124.08 permutation0:
% 123.61/124.08 0 ==> 0
% 123.61/124.08 1 ==> 1
% 123.61/124.08 2 ==> 2
% 123.61/124.08 end
% 123.61/124.08
% 123.61/124.08 resolution: (145222) {G2,W15,D2,L3,V3,M3} { ! cong( skol24, skol24, skol24
% 123.61/124.08 , Y ), ! cong( skol24, skol24, skol24, Z ), cyclic( skol24, Y, X, Z ) }.
% 123.61/124.08 parent0[0]: (545) {G1,W20,D2,L4,V5,M4} R(23,12) { ! cong( X, Y, X, Z ), !
% 123.61/124.08 cong( X, Z, X, T ), ! cong( X, Z, X, U ), cyclic( Z, T, Y, U ) }.
% 123.61/124.08 parent1[0]: (143764) {G46,W5,D2,L1,V1,M1} R(143696,1789);r(142509) { cong(
% 123.61/124.08 skol24, X, skol24, skol24 ) }.
% 123.61/124.08 substitution0:
% 123.61/124.08 X := skol24
% 123.61/124.08 Y := X
% 123.61/124.08 Z := skol24
% 123.61/124.08 T := Y
% 123.61/124.08 U := Z
% 123.61/124.08 end
% 123.61/124.08 substitution1:
% 123.61/124.08 X := X
% 123.61/124.08 end
% 123.61/124.08
% 123.61/124.08 subsumption: (143935) {G47,W15,D2,L3,V3,M3} R(143764,545) { ! cong( skol24
% 123.61/124.08 , skol24, skol24, X ), ! cong( skol24, skol24, skol24, Y ), cyclic(
% 123.61/124.08 skol24, X, Z, Y ) }.
% 123.61/124.08 parent0: (145222) {G2,W15,D2,L3,V3,M3} { ! cong( skol24, skol24, skol24, Y
% 123.61/124.08 ), ! cong( skol24, skol24, skol24, Z ), cyclic( skol24, Y, X, Z ) }.
% 123.61/124.08 substitution0:
% 123.61/124.08 X := Z
% 123.61/124.08 Y := X
% 123.61/124.08 Z := Y
% 123.61/124.08 end
% 123.61/124.08 permutation0:
% 123.61/124.08 0 ==> 0
% 123.61/124.08 1 ==> 1
% 123.61/124.08 2 ==> 2
% 123.61/124.08 end
% 123.61/124.08
% 123.61/124.08 resolution: (145228) {G2,W5,D2,L1,V1,M1} { cong( skol24, skol24, skol24, X
% 123.61/124.08 ) }.
% 123.61/124.08 parent0[1]: (542) {G1,W10,D2,L2,V4,M2} R(23,22) { cong( X, Y, Z, T ), !
% 123.61/124.08 cong( Z, T, Y, X ) }.
% 123.61/124.08 parent1[0]: (143764) {G46,W5,D2,L1,V1,M1} R(143696,1789);r(142509) { cong(
% 123.61/124.08 skol24, X, skol24, skol24 ) }.
% 123.61/124.08 substitution0:
% 123.61/124.08 X := skol24
% 123.61/124.08 Y := skol24
% 123.61/124.08 Z := skol24
% 123.61/124.08 T := X
% 123.61/124.08 end
% 123.61/124.08 substitution1:
% 123.61/124.08 X := X
% 123.61/124.08 end
% 123.61/124.08
% 123.61/124.08 subsumption: (143942) {G47,W5,D2,L1,V1,M1} R(143764,542) { cong( skol24,
% 123.61/124.08 skol24, skol24, X ) }.
% 123.61/124.08 parent0: (145228) {G2,W5,D2,L1,V1,M1} { cong( skol24, skol24, skol24, X )
% 123.61/124.08 }.
% 123.61/124.08 substitution0:
% 123.61/124.08 X := X
% 123.61/124.08 end
% 123.61/124.08 permutation0:
% 123.61/124.08 0 ==> 0
% 123.61/124.08 end
% 123.61/124.08
% 123.61/124.08 factor: (145229) {G47,W10,D2,L2,V2,M2} { ! cong( skol24, skol24, skol24, X
% 123.61/124.08 ), cyclic( skol24, X, Y, X ) }.
% 123.61/124.08 parent0[0, 1]: (143935) {G47,W15,D2,L3,V3,M3} R(143764,545) { ! cong(
% 123.61/124.08 skol24, skol24, skol24, X ), ! cong( skol24, skol24, skol24, Y ), cyclic
% 123.61/124.08 ( skol24, X, Z, Y ) }.
% 123.61/124.08 substitution0:
% 123.61/124.08 X := X
% 123.61/124.08 Y := X
% 123.61/124.08 Z := Y
% 123.61/124.08 end
% 123.61/124.08
% 123.61/124.08 resolution: (145230) {G48,W5,D2,L1,V2,M1} { cyclic( skol24, X, Y, X ) }.
% 123.61/124.08 parent0[0]: (145229) {G47,W10,D2,L2,V2,M2} { ! cong( skol24, skol24,
% 123.61/124.08 skol24, X ), cyclic( skol24, X, Y, X ) }.
% 123.61/124.08 parent1[0]: (143942) {G47,W5,D2,L1,V1,M1} R(143764,542) { cong( skol24,
% 123.61/124.08 skol24, skol24, X ) }.
% 123.61/124.08 substitution0:
% 123.61/124.08 X := X
% 123.61/124.08 Y := Y
% 123.61/124.08 end
% 123.61/124.08 substitution1:
% 123.61/124.08 X := X
% 123.61/124.08 end
% 123.61/124.08
% 123.61/124.08 subsumption: (143984) {G48,W5,D2,L1,V2,M1} F(143935);r(143942) { cyclic(
% 123.61/124.08 skol24, X, Y, X ) }.
% 123.61/124.08 parent0: (145230) {G48,W5,D2,L1,V2,M1} { cyclic( skol24, X, Y, X ) }.
% 123.61/124.08 substitution0:
% 123.61/124.08 X := X
% 123.61/124.08 Y := Y
% 123.61/124.08 end
% 123.61/124.08 permutation0:
% 123.61/124.08 0 ==> 0
% 123.61/124.08 end
% 123.61/124.08
% 123.61/124.08 factor: (145231) {G47,W10,D2,L2,V2,M2} { ! cong( skol24, skol24, skol24, X
% 123.61/124.08 ), cyclic( skol24, X, X, Y ) }.
% 123.61/124.08 parent0[0, 1]: (143932) {G47,W15,D2,L3,V3,M3} R(143764,546) { ! cong(
% 123.61/124.08 skol24, skol24, skol24, X ), ! cong( skol24, skol24, skol24, Y ), cyclic
% 123.61/124.08 ( skol24, X, Y, Z ) }.
% 123.61/124.08 substitution0:
% 123.61/124.08 X := X
% 123.61/124.08 Y := X
% 123.61/124.08 Z := Y
% 123.61/124.08 end
% 123.61/124.08
% 123.61/124.08 resolution: (145232) {G48,W5,D2,L1,V2,M1} { cyclic( skol24, X, X, Y ) }.
% 123.61/124.08 parent0[0]: (145231) {G47,W10,D2,L2,V2,M2} { ! cong( skol24, skol24,
% 123.61/124.08 skol24, X ), cyclic( skol24, X, X, Y ) }.
% 123.61/124.08 parent1[0]: (143942) {G47,W5,D2,L1,V1,M1} R(143764,542) { cong( skol24,
% 123.61/124.08 skol24, skol24, X ) }.
% 123.61/124.08 substitution0:
% 123.61/124.08 X := X
% 123.61/124.08 Y := Y
% 123.61/124.08 end
% 123.61/124.08 substitution1:
% 123.61/124.08 X := X
% 123.61/124.08 end
% 123.61/124.08
% 123.61/124.08 subsumption: (143985) {G48,W5,D2,L1,V2,M1} F(143932);r(143942) { cyclic(
% 123.61/124.08 skol24, X, X, Y ) }.
% 123.61/124.08 parent0: (145232) {G48,W5,D2,L1,V2,M1} { cyclic( skol24, X, X, Y ) }.
% 123.61/124.08 substitution0:
% 123.61/124.08 X := X
% 123.61/124.08 Y := Y
% 123.61/124.08 end
% 123.61/124.08 permutation0:
% 123.61/124.08 0 ==> 0
% 123.61/124.08 end
% 123.61/124.08
% 123.61/124.08 resolution: (145233) {G2,W10,D2,L2,V3,M2} { cyclic( X, X, Y, Z ), ! cyclic
% 123.61/124.08 ( skol24, X, Z, X ) }.
% 123.61/124.08 parent0[0]: (430) {G1,W15,D2,L3,V5,M3} R(16,13) { ! cyclic( X, Y, Z, T ),
% 123.61/124.08 cyclic( Y, Z, T, U ), ! cyclic( X, Y, U, Z ) }.
% 123.61/124.08 parent1[0]: (143985) {G48,W5,D2,L1,V2,M1} F(143932);r(143942) { cyclic(
% 123.61/124.08 skol24, X, X, Y ) }.
% 123.61/124.08 substitution0:
% 123.61/124.08 X := skol24
% 123.61/124.08 Y := X
% 123.61/124.08 Z := X
% 123.61/124.08 T := Y
% 123.61/124.08 U := Z
% 123.61/124.08 end
% 123.61/124.08 substitution1:
% 123.61/124.08 X := X
% 123.61/124.08 Y := Y
% 123.61/124.08 end
% 123.61/124.08
% 123.61/124.08 resolution: (145235) {G3,W5,D2,L1,V3,M1} { cyclic( X, X, Y, Z ) }.
% 123.61/124.08 parent0[1]: (145233) {G2,W10,D2,L2,V3,M2} { cyclic( X, X, Y, Z ), ! cyclic
% 123.61/124.08 ( skol24, X, Z, X ) }.
% 123.61/124.08 parent1[0]: (143984) {G48,W5,D2,L1,V2,M1} F(143935);r(143942) { cyclic(
% 123.61/124.08 skol24, X, Y, X ) }.
% 123.61/124.08 substitution0:
% 123.61/124.08 X := X
% 123.61/124.08 Y := Y
% 123.61/124.08 Z := Z
% 123.61/124.08 end
% 123.61/124.08 substitution1:
% 123.61/124.08 X := X
% 123.61/124.08 Y := Z
% 123.61/124.08 end
% 123.61/124.08
% 123.61/124.08 subsumption: (144033) {G49,W5,D2,L1,V3,M1} R(143985,430);r(143984) { cyclic
% 123.61/124.08 ( X, X, Y, Z ) }.
% 123.61/124.08 parent0: (145235) {G3,W5,D2,L1,V3,M1} { cyclic( X, X, Y, Z ) }.
% 123.61/124.08 substitution0:
% 123.61/124.08 X := X
% 123.61/124.08 Y := Y
% 123.61/124.08 Z := Z
% 123.61/124.08 end
% 123.61/124.08 permutation0:
% 123.61/124.08 0 ==> 0
% 123.61/124.08 end
% 123.61/124.08
% 123.61/124.08 resolution: (145236) {G4,W5,D2,L1,V0,M1} { ! cyclic( skol24, skol24,
% 123.61/124.08 skol23, skol22 ) }.
% 123.61/124.08 parent0[0]: (455) {G3,W10,D2,L2,V1,M2} R(400,16) { ! cyclic( X, skol24,
% 123.61/124.08 skol23, skol20 ), ! cyclic( X, skol24, skol23, skol22 ) }.
% 123.61/124.08 parent1[0]: (144033) {G49,W5,D2,L1,V3,M1} R(143985,430);r(143984) { cyclic
% 123.61/124.08 ( X, X, Y, Z ) }.
% 123.61/124.08 substitution0:
% 123.61/124.08 X := skol24
% 123.61/124.08 end
% 123.61/124.08 substitution1:
% 123.61/124.08 X := skol24
% 123.61/124.08 Y := skol23
% 123.61/124.08 Z := skol20
% 123.61/124.08 end
% 123.61/124.08
% 123.61/124.08 resolution: (145238) {G5,W0,D0,L0,V0,M0} { }.
% 123.61/124.08 parent0[0]: (145236) {G4,W5,D2,L1,V0,M1} { ! cyclic( skol24, skol24,
% 123.61/124.08 skol23, skol22 ) }.
% 123.61/124.08 parent1[0]: (144033) {G49,W5,D2,L1,V3,M1} R(143985,430);r(143984) { cyclic
% 123.61/124.08 ( X, X, Y, Z ) }.
% 123.61/124.08 substitution0:
% 123.61/124.08 end
% 123.61/124.08 substitution1:
% 123.61/124.08 X := skol24
% 123.61/124.08 Y := skol23
% 123.61/124.08 Z := skol22
% 123.61/124.08 end
% 123.61/124.08
% 123.61/124.08 subsumption: (144077) {G50,W0,D0,L0,V0,M0} R(144033,455);r(144033) { }.
% 123.61/124.08 parent0: (145238) {G5,W0,D0,L0,V0,M0} { }.
% 123.61/124.08 substitution0:
% 123.61/124.08 end
% 123.61/124.08 permutation0:
% 123.61/124.08 end
% 123.61/124.08
% 123.61/124.08 Proof check complete!
% 123.61/124.08
% 123.61/124.08 Memory use:
% 123.61/124.08
% 123.61/124.08 space for terms: 2035531
% 123.61/124.08 space for clauses: 6858380
% 123.61/124.08
% 123.61/124.08
% 123.61/124.08 clauses generated: 842961
% 123.61/124.08 clauses kept: 144078
% 123.61/124.08 clauses selected: 5059
% 123.61/124.08 clauses deleted: 33289
% 123.61/124.08 clauses inuse deleted: 1606
% 123.61/124.08
% 123.61/124.08 subsentry: 33119478
% 123.61/124.08 literals s-matched: 22790484
% 123.61/124.08 literals matched: 12630514
% 123.61/124.08 full subsumption: 7477776
% 123.61/124.08
% 123.61/124.08 checksum: 1736998982
% 123.61/124.08
% 123.61/124.08
% 123.61/124.08 Bliksem ended
%------------------------------------------------------------------------------