TSTP Solution File: GEO615+1 by Bliksem---1.12
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : GEO615+1 : TPTP v8.1.0. Released v7.5.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n018.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 0s
% DateTime : Sat Jul 16 02:55:07 EDT 2022
% Result : Theorem 22.70s 23.09s
% Output : Refutation 22.70s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.11 % Problem : GEO615+1 : TPTP v8.1.0. Released v7.5.0.
% 0.07/0.12 % Command : bliksem %s
% 0.12/0.33 % Computer : n018.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 17:41:17 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.72/1.15 *** allocated 10000 integers for termspace/termends
% 0.72/1.15 *** allocated 10000 integers for clauses
% 0.72/1.15 *** allocated 10000 integers for justifications
% 0.72/1.15 Bliksem 1.12
% 0.72/1.15
% 0.72/1.15
% 0.72/1.15 Automatic Strategy Selection
% 0.72/1.15
% 0.72/1.15 *** allocated 15000 integers for termspace/termends
% 0.72/1.15
% 0.72/1.15 Clauses:
% 0.72/1.15
% 0.72/1.15 { ! coll( X, Y, Z ), coll( X, Z, Y ) }.
% 0.72/1.15 { ! coll( X, Y, Z ), coll( Y, X, Z ) }.
% 0.72/1.15 { ! coll( X, T, Y ), ! coll( X, T, Z ), coll( Y, Z, X ) }.
% 0.72/1.15 { ! para( X, Y, Z, T ), para( X, Y, T, Z ) }.
% 0.72/1.15 { ! para( X, Y, Z, T ), para( Z, T, X, Y ) }.
% 0.72/1.15 { ! para( X, Y, U, W ), ! para( U, W, Z, T ), para( X, Y, Z, T ) }.
% 0.72/1.15 { ! perp( X, Y, Z, T ), perp( X, Y, T, Z ) }.
% 0.72/1.15 { ! perp( X, Y, Z, T ), perp( Z, T, X, Y ) }.
% 0.72/1.15 { ! perp( X, Y, U, W ), ! perp( U, W, Z, T ), para( X, Y, Z, T ) }.
% 0.72/1.15 { ! para( X, Y, U, W ), ! perp( U, W, Z, T ), perp( X, Y, Z, T ) }.
% 0.72/1.15 { ! midp( Z, Y, X ), midp( Z, X, Y ) }.
% 0.72/1.15 { ! cong( T, X, T, Y ), ! cong( T, X, T, Z ), circle( T, X, Y, Z ) }.
% 0.72/1.15 { ! cong( U, X, U, Y ), ! cong( U, X, U, Z ), ! cong( U, X, U, T ), cyclic
% 0.72/1.15 ( X, Y, Z, T ) }.
% 0.72/1.15 { ! cyclic( X, Y, Z, T ), cyclic( X, Y, T, Z ) }.
% 0.72/1.15 { ! cyclic( X, Y, Z, T ), cyclic( X, Z, Y, T ) }.
% 0.72/1.15 { ! cyclic( X, Y, Z, T ), cyclic( Y, X, Z, T ) }.
% 0.72/1.15 { ! cyclic( U, X, Y, Z ), ! cyclic( U, X, Y, T ), cyclic( X, Y, Z, T ) }.
% 0.72/1.15 { ! eqangle( X, Y, Z, T, U, W, V0, V1 ), eqangle( Y, X, Z, T, U, W, V0, V1
% 0.72/1.15 ) }.
% 0.72/1.15 { ! eqangle( X, Y, Z, T, U, W, V0, V1 ), eqangle( Z, T, X, Y, V0, V1, U, W
% 0.72/1.15 ) }.
% 0.72/1.15 { ! eqangle( X, Y, Z, T, U, W, V0, V1 ), eqangle( U, W, V0, V1, X, Y, Z, T
% 0.72/1.15 ) }.
% 0.72/1.15 { ! eqangle( X, Y, Z, T, U, W, V0, V1 ), eqangle( X, Y, U, W, Z, T, V0, V1
% 0.72/1.15 ) }.
% 0.72/1.15 { ! eqangle( X, Y, Z, T, V2, V3, V4, V5 ), ! eqangle( V2, V3, V4, V5, U, W
% 0.72/1.15 , V0, V1 ), eqangle( X, Y, Z, T, U, W, V0, V1 ) }.
% 0.72/1.15 { ! cong( X, Y, Z, T ), cong( X, Y, T, Z ) }.
% 0.72/1.15 { ! cong( X, Y, Z, T ), cong( Z, T, X, Y ) }.
% 0.72/1.15 { ! cong( X, Y, U, W ), ! cong( U, W, Z, T ), cong( X, Y, Z, T ) }.
% 0.72/1.15 { ! eqratio( X, Y, Z, T, U, W, V0, V1 ), eqratio( Y, X, Z, T, U, W, V0, V1
% 0.72/1.15 ) }.
% 0.72/1.15 { ! eqratio( X, Y, Z, T, U, W, V0, V1 ), eqratio( Z, T, X, Y, V0, V1, U, W
% 0.72/1.15 ) }.
% 0.72/1.15 { ! eqratio( X, Y, Z, T, U, W, V0, V1 ), eqratio( U, W, V0, V1, X, Y, Z, T
% 0.72/1.15 ) }.
% 0.72/1.15 { ! eqratio( X, Y, Z, T, U, W, V0, V1 ), eqratio( X, Y, U, W, Z, T, V0, V1
% 0.72/1.15 ) }.
% 0.72/1.15 { ! eqratio( X, Y, Z, T, V2, V3, V4, V5 ), ! eqratio( V2, V3, V4, V5, U, W
% 0.72/1.15 , V0, V1 ), eqratio( X, Y, Z, T, U, W, V0, V1 ) }.
% 0.72/1.15 { ! simtri( X, Z, Y, T, W, U ), simtri( X, Y, Z, T, U, W ) }.
% 0.72/1.15 { ! simtri( Y, X, Z, U, T, W ), simtri( X, Y, Z, T, U, W ) }.
% 0.72/1.15 { ! simtri( T, U, W, X, Y, Z ), simtri( X, Y, Z, T, U, W ) }.
% 0.72/1.15 { ! simtri( X, Y, Z, V0, V1, V2 ), ! simtri( V0, V1, V2, T, U, W ), simtri
% 0.72/1.15 ( X, Y, Z, T, U, W ) }.
% 0.72/1.15 { ! contri( X, Z, Y, T, W, U ), contri( X, Y, Z, T, U, W ) }.
% 0.72/1.15 { ! contri( Y, X, Z, U, T, W ), contri( X, Y, Z, T, U, W ) }.
% 0.72/1.15 { ! contri( T, U, W, X, Y, Z ), contri( X, Y, Z, T, U, W ) }.
% 0.72/1.15 { ! contri( X, Y, Z, V0, V1, V2 ), ! contri( V0, V1, V2, T, U, W ), contri
% 0.72/1.15 ( X, Y, Z, T, U, W ) }.
% 0.72/1.15 { ! eqangle( X, Y, U, W, Z, T, U, W ), para( X, Y, Z, T ) }.
% 0.72/1.15 { ! para( X, Y, Z, T ), eqangle( X, Y, U, W, Z, T, U, W ) }.
% 0.72/1.15 { ! cyclic( X, Y, Z, T ), eqangle( Z, X, Z, Y, T, X, T, Y ) }.
% 0.72/1.15 { ! eqangle( Z, X, Z, Y, T, X, T, Y ), coll( Z, T, X ), cyclic( X, Y, Z, T
% 0.72/1.15 ) }.
% 0.72/1.15 { ! eqangle( Z, X, Z, Y, T, X, T, Y ), ! coll( Z, T, Y ), cyclic( X, Y, Z,
% 0.72/1.15 T ) }.
% 0.72/1.15 { ! cyclic( X, Y, U, Z ), ! cyclic( X, Y, U, T ), ! cyclic( X, Y, U, W ), !
% 0.72/1.15 eqangle( U, X, U, Y, W, Z, W, T ), cong( X, Y, Z, T ) }.
% 0.72/1.15 { ! midp( Z, U, X ), ! midp( T, U, Y ), para( Z, T, X, Y ) }.
% 0.72/1.15 { ! midp( U, X, T ), ! para( U, Z, T, Y ), ! coll( Z, X, Y ), midp( Z, X, Y
% 0.72/1.15 ) }.
% 0.72/1.15 { ! cong( Z, X, Z, Y ), eqangle( Z, X, X, Y, X, Y, Z, Y ) }.
% 0.72/1.15 { ! eqangle( Z, X, X, Y, X, Y, Z, Y ), coll( Z, X, Y ), cong( Z, X, Z, Y )
% 0.72/1.15 }.
% 0.72/1.15 { ! circle( U, X, Y, Z ), ! perp( U, X, X, T ), eqangle( X, T, X, Y, Z, X,
% 0.72/1.15 Z, Y ) }.
% 0.72/1.15 { ! circle( Y, X, T, U ), ! eqangle( X, Z, X, T, U, X, U, T ), perp( Y, X,
% 0.72/1.15 X, Z ) }.
% 0.72/1.15 { ! circle( T, X, Y, Z ), ! midp( U, Y, Z ), eqangle( X, Y, X, Z, T, Y, T,
% 0.72/1.15 U ) }.
% 0.72/1.15 { ! circle( U, T, X, Y ), ! coll( Z, X, Y ), ! eqangle( T, X, T, Y, U, X, U
% 0.72/1.15 , Z ), midp( Z, X, Y ) }.
% 0.72/1.15 { ! perp( X, Y, Y, T ), ! midp( Z, X, T ), cong( X, Z, Y, Z ) }.
% 0.72/1.15 { ! circle( T, X, Y, Z ), ! coll( T, X, Z ), perp( X, Y, Y, Z ) }.
% 0.72/1.15 { ! cyclic( X, Y, Z, T ), ! para( X, Y, Z, T ), eqangle( X, T, Z, T, Z, T,
% 0.72/1.15 Z, Y ) }.
% 0.72/1.15 { ! midp( T, X, Y ), ! perp( Z, T, X, Y ), cong( Z, X, Z, Y ) }.
% 0.72/1.15 { ! cong( X, Z, Y, Z ), ! cong( X, T, Y, T ), perp( X, Y, Z, T ) }.
% 0.72/1.15 { ! cong( X, Y, T, Y ), ! cong( X, Z, T, Z ), ! cyclic( X, T, Y, Z ), perp
% 0.72/1.15 ( Y, X, X, Z ) }.
% 0.72/1.15 { ! eqangle( X, Y, Y, Z, T, U, U, W ), ! eqangle( X, Z, Y, Z, T, W, U, W )
% 0.72/1.15 , coll( X, Y, Z ), simtri( X, Y, Z, T, U, W ) }.
% 0.72/1.15 { ! simtri( X, Y, Z, T, U, W ), eqratio( X, Y, X, Z, T, U, T, W ) }.
% 0.72/1.15 { ! simtri( X, Y, Z, T, U, W ), eqangle( X, Y, Y, Z, T, U, U, W ) }.
% 0.72/1.15 { ! simtri( X, Y, Z, T, U, W ), ! cong( X, Y, T, U ), contri( X, Y, Z, T, U
% 0.72/1.15 , W ) }.
% 0.72/1.15 { ! contri( X, Y, U, Z, T, W ), cong( X, Y, Z, T ) }.
% 0.72/1.15 { ! midp( U, X, Y ), ! midp( U, Z, T ), para( X, Z, Y, T ) }.
% 0.72/1.15 { ! midp( Z, T, U ), ! para( T, X, U, Y ), ! para( T, Y, U, X ), midp( Z, X
% 0.72/1.15 , Y ) }.
% 0.72/1.15 { ! para( X, Y, Z, T ), ! coll( U, X, Z ), ! coll( U, Y, T ), eqratio( U, X
% 0.72/1.15 , X, Z, U, Y, Y, T ) }.
% 0.72/1.15 { ! para( X, Y, X, Z ), coll( X, Y, Z ) }.
% 0.72/1.15 { ! cong( X, Y, X, Z ), ! coll( X, Y, Z ), midp( X, Y, Z ) }.
% 0.72/1.15 { ! midp( X, Y, Z ), cong( X, Y, X, Z ) }.
% 0.72/1.15 { ! midp( X, Y, Z ), coll( X, Y, Z ) }.
% 0.72/1.15 { ! midp( U, X, Y ), ! midp( W, Z, T ), eqratio( U, X, X, Y, W, Z, Z, T ) }
% 0.72/1.15 .
% 0.72/1.15 { ! eqangle( X, Y, Z, T, Z, T, X, Y ), para( X, Y, Z, T ), perp( X, Y, Z, T
% 0.72/1.15 ) }.
% 0.72/1.15 { ! eqangle( X, Y, Z, T, Z, T, X, Y ), perp( X, Y, Z, T ), para( X, Y, Z, T
% 0.72/1.15 ) }.
% 0.72/1.15 { ! eqangle( X, Y, Z, T, U, W, V0, V1 ), ! para( U, W, V0, V1 ), para( X, Y
% 0.72/1.15 , Z, T ) }.
% 0.72/1.15 { ! eqangle( X, Y, Z, T, U, W, V0, V1 ), ! perp( U, W, V0, V1 ), perp( X, Y
% 0.72/1.15 , Z, T ) }.
% 0.72/1.15 { ! eqratio( X, Y, Z, T, U, W, V0, V1 ), ! cong( U, W, V0, V1 ), cong( X, Y
% 0.72/1.15 , Z, T ) }.
% 0.72/1.15 { ! perp( Z, Y, Y, X ), ! eqangle( T, Z, Y, Z, Y, Z, X, Z ), coll( skol1( U
% 0.72/1.15 , W, Z, T ), Z, T ) }.
% 0.72/1.15 { ! perp( Z, Y, Y, X ), ! eqangle( T, Z, Y, Z, Y, Z, X, Z ), coll( skol1( X
% 0.72/1.15 , Y, Z, T ), X, Y ) }.
% 0.72/1.15 { ! cong( Z, X, Z, Y ), ! eqangle( X, Z, Z, T, Z, T, Z, Y ), coll( skol2( U
% 0.72/1.15 , W, Z, T ), Z, T ) }.
% 0.72/1.15 { ! cong( Z, X, Z, Y ), ! eqangle( X, Z, Z, T, Z, T, Z, Y ), coll( Y, X,
% 0.72/1.15 skol2( X, Y, Z, T ) ) }.
% 0.72/1.15 { ! perp( Z, T, X, Y ), ! eqangle( X, Z, Z, T, Z, T, Z, Y ), coll( skol3( U
% 0.72/1.15 , W, Z, T ), Z, T ) }.
% 0.72/1.15 { ! perp( Z, T, X, Y ), ! eqangle( X, Z, Z, T, Z, T, Z, Y ), coll( Y, X,
% 0.72/1.15 skol3( X, Y, Z, T ) ) }.
% 0.72/1.15 { ! perp( Z, T, X, Y ), ! cong( Z, X, Z, Y ), coll( skol4( U, W, Z, T ), Z
% 0.72/1.15 , T ) }.
% 0.72/1.15 { ! perp( Z, T, X, Y ), ! cong( Z, X, Z, Y ), coll( Y, X, skol4( X, Y, Z, T
% 0.72/1.15 ) ) }.
% 0.72/1.15 { ! eqangle( X, Z, Y, Z, X, T, Y, U ), coll( X, Y, Z ), cyclic( T, Y, Z,
% 0.72/1.15 skol5( W, Y, Z, T ) ) }.
% 0.72/1.15 { ! eqangle( X, Z, Y, Z, X, T, Y, U ), coll( X, Y, Z ), eqangle( X, Z, Y, Z
% 0.72/1.15 , X, skol5( X, Y, Z, T ), Y, skol5( X, Y, Z, T ) ) }.
% 0.72/1.15 { ! midp( U, X, Y ), ! midp( W, Z, T ), midp( skol6( X, V0, V1, T, V2, V3 )
% 0.72/1.15 , X, T ) }.
% 0.72/1.15 { ! midp( U, X, Y ), ! midp( W, Z, T ), para( skol6( X, V0, Z, T, V1, W ),
% 0.72/1.15 W, X, Z ) }.
% 0.72/1.15 { ! midp( U, X, Y ), ! midp( W, Z, T ), para( skol6( X, Y, Z, T, U, W ), U
% 0.72/1.15 , Y, T ) }.
% 0.72/1.15 { ! midp( Z, X, Y ), ! midp( W, T, U ), ! coll( T, X, Y ), ! coll( U, X, Y
% 0.72/1.15 ), midp( skol7( X, V0 ), X, V0 ) }.
% 0.72/1.15 { ! midp( T, X, U ), ! para( X, W, Z, T ), ! para( X, W, U, Y ), ! coll( W
% 0.72/1.15 , Y, Z ), coll( skol8( V0, V1, Z, T ), T, Z ) }.
% 0.72/1.15 { ! midp( T, X, U ), ! para( X, W, Z, T ), ! para( X, W, U, Y ), ! coll( W
% 0.72/1.15 , Y, Z ), coll( skol8( X, Y, Z, T ), X, Y ) }.
% 0.72/1.15 { ! cong( T, Z, T, U ), ! perp( X, Y, Y, T ), cong( T, Z, T, skol9( W, V0,
% 0.72/1.15 Z, T ) ) }.
% 0.72/1.15 { ! cong( T, Z, T, U ), ! perp( X, Y, Y, T ), cong( Y, Z, Y, skol9( W, Y, Z
% 0.72/1.15 , T ) ) }.
% 0.72/1.15 { ! cong( T, Z, T, U ), ! perp( X, Y, Y, T ), para( skol9( X, Y, Z, T ), Z
% 0.72/1.15 , X, Y ) }.
% 0.72/1.15 { ! perp( X, T, Y, Z ), ! perp( Y, T, X, Z ), coll( skol10( U, Y, Z ), Z, Y
% 0.72/1.15 ) }.
% 0.72/1.15 { ! perp( X, T, Y, Z ), ! perp( Y, T, X, Z ), perp( X, skol10( X, Y, Z ), Z
% 0.72/1.15 , Y ) }.
% 0.72/1.15 { ! perp( X, T, Y, Z ), ! perp( Y, T, X, Z ), alpha1( X, Y, Z ) }.
% 0.72/1.15 { ! alpha1( X, Y, Z ), coll( skol11( X, T, Z ), Z, X ) }.
% 0.72/1.15 { ! alpha1( X, Y, Z ), perp( Y, skol11( X, Y, Z ), Z, X ) }.
% 0.72/1.15 { ! coll( T, Z, X ), ! perp( Y, T, Z, X ), alpha1( X, Y, Z ) }.
% 0.72/1.15 { ! circle( Y, X, Z, T ), perp( skol12( X, Y ), X, X, Y ) }.
% 3.14/3.50 { ! circle( W, X, Y, Z ), ! cong( W, X, W, T ), ! cong( U, X, U, Y ), W = U
% 3.14/3.50 , alpha2( X, Z, U, skol13( X, V0, Z, V1, U ) ) }.
% 3.14/3.50 { ! circle( W, X, Y, Z ), ! cong( W, X, W, T ), ! cong( U, X, U, Y ), W = U
% 3.14/3.50 , coll( skol21( V0, Y, T, V1 ), Y, T ) }.
% 3.14/3.50 { ! circle( W, X, Y, Z ), ! cong( W, X, W, T ), ! cong( U, X, U, Y ), W = U
% 3.14/3.50 , cong( skol21( X, Y, T, U ), U, U, X ) }.
% 3.14/3.50 { ! alpha2( X, Y, Z, T ), coll( T, X, Y ) }.
% 3.14/3.50 { ! alpha2( X, Y, Z, T ), cong( T, Z, Z, X ) }.
% 3.14/3.50 { ! coll( T, X, Y ), ! cong( T, Z, Z, X ), alpha2( X, Y, Z, T ) }.
% 3.14/3.50 { ! cyclic( X, Y, Z, T ), ! para( X, Y, Z, T ), ! midp( U, X, Y ), circle(
% 3.14/3.50 skol14( X, Y, Z ), X, Y, Z ) }.
% 3.14/3.50 { ! perp( X, Z, Z, Y ), ! cyclic( X, Y, Z, T ), circle( skol15( X, Y, Z ),
% 3.14/3.50 X, Y, Z ) }.
% 3.14/3.50 { ! perp( X, U, U, T ), ! coll( T, Y, Z ), coll( skol16( W, Y, Z ), Y, Z )
% 3.14/3.50 }.
% 3.14/3.50 { ! perp( X, U, U, T ), ! coll( T, Y, Z ), perp( skol16( X, Y, Z ), X, Y, Z
% 3.14/3.50 ) }.
% 3.14/3.50 { ! perp( X, Z, X, Y ), ! perp( Y, X, Y, T ), ! midp( U, Z, T ), midp(
% 3.14/3.50 skol17( X, Y ), X, Y ) }.
% 3.14/3.50 { ! cong( Y, X, Y, Z ), ! perp( X, Y, Y, Z ), coll( X, Y, skol18( X, Y ) )
% 3.14/3.50 }.
% 3.14/3.50 { ! cong( Y, X, Y, Z ), ! perp( X, Y, Y, Z ), cong( Y, X, Y, skol18( X, Y )
% 3.14/3.50 ) }.
% 3.14/3.50 { ! para( U, W, X, Y ), ! coll( Z, U, X ), ! coll( Z, W, Y ), ! coll( T, U
% 3.14/3.50 , W ), coll( Z, T, skol19( V0, V1, Z, T ) ) }.
% 3.14/3.50 { ! para( U, W, X, Y ), ! coll( Z, U, X ), ! coll( Z, W, Y ), ! coll( T, U
% 3.14/3.50 , W ), coll( skol19( X, Y, Z, T ), X, Y ) }.
% 3.14/3.50 { eqangle( skol22, skol25, skol25, skol26, skol22, skol25, skol25, skol20 )
% 3.14/3.50 }.
% 3.14/3.50 { eqangle( skol22, skol26, skol26, skol20, skol22, skol26, skol26, skol25 )
% 3.14/3.50 }.
% 3.14/3.50 { eqangle( skol22, skol20, skol20, skol25, skol22, skol20, skol20, skol26 )
% 3.14/3.50 }.
% 3.14/3.50 { midpoint( skol27, skol26, skol22 ) }.
% 3.14/3.50 { perp( skol26, skol22, skol27, skol28 ) }.
% 3.14/3.50 { perp( skol25, skol26, skol26, skol28 ) }.
% 3.14/3.50 { circle( skol28, skol26, skol29, skol30 ) }.
% 3.14/3.50 { coll( skol23, skol25, skol20 ) }.
% 3.14/3.50 { circle( skol28, skol26, skol23, skol31 ) }.
% 3.14/3.50 { circle( skol28, skol23, skol24, skol32 ) }.
% 3.14/3.50 { coll( skol24, skol23, skol25 ) }.
% 3.14/3.50 { ! eqangle( skol23, skol22, skol22, skol20, skol20, skol22, skol22, skol24
% 3.14/3.50 ) }.
% 3.14/3.50
% 3.14/3.50 percentage equality = 0.008671, percentage horn = 0.929688
% 3.14/3.50 This is a problem with some equality
% 3.14/3.50
% 3.14/3.50
% 3.14/3.50
% 3.14/3.50 Options Used:
% 3.14/3.50
% 3.14/3.50 useres = 1
% 3.14/3.50 useparamod = 1
% 3.14/3.50 useeqrefl = 1
% 3.14/3.50 useeqfact = 1
% 3.14/3.50 usefactor = 1
% 3.14/3.50 usesimpsplitting = 0
% 3.14/3.50 usesimpdemod = 5
% 3.14/3.50 usesimpres = 3
% 3.14/3.50
% 3.14/3.50 resimpinuse = 1000
% 3.14/3.50 resimpclauses = 20000
% 3.14/3.50 substype = eqrewr
% 3.14/3.50 backwardsubs = 1
% 3.14/3.50 selectoldest = 5
% 3.14/3.50
% 3.14/3.50 litorderings [0] = split
% 3.14/3.50 litorderings [1] = extend the termordering, first sorting on arguments
% 3.14/3.50
% 3.14/3.50 termordering = kbo
% 3.14/3.50
% 3.14/3.50 litapriori = 0
% 3.14/3.50 termapriori = 1
% 3.14/3.50 litaposteriori = 0
% 3.14/3.50 termaposteriori = 0
% 3.14/3.50 demodaposteriori = 0
% 3.14/3.50 ordereqreflfact = 0
% 3.14/3.50
% 3.14/3.50 litselect = negord
% 3.14/3.50
% 3.14/3.50 maxweight = 15
% 3.14/3.50 maxdepth = 30000
% 3.14/3.50 maxlength = 115
% 3.14/3.50 maxnrvars = 195
% 3.14/3.50 excuselevel = 1
% 3.14/3.50 increasemaxweight = 1
% 3.14/3.50
% 3.14/3.50 maxselected = 10000000
% 3.14/3.50 maxnrclauses = 10000000
% 3.14/3.50
% 3.14/3.50 showgenerated = 0
% 3.14/3.50 showkept = 0
% 3.14/3.50 showselected = 0
% 3.14/3.50 showdeleted = 0
% 3.14/3.50 showresimp = 1
% 3.14/3.50 showstatus = 2000
% 3.14/3.50
% 3.14/3.50 prologoutput = 0
% 3.14/3.50 nrgoals = 5000000
% 3.14/3.50 totalproof = 1
% 3.14/3.50
% 3.14/3.50 Symbols occurring in the translation:
% 3.14/3.50
% 3.14/3.50 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 3.14/3.50 . [1, 2] (w:1, o:46, a:1, s:1, b:0),
% 3.14/3.50 ! [4, 1] (w:0, o:41, a:1, s:1, b:0),
% 3.14/3.50 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 3.14/3.50 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 3.14/3.50 coll [38, 3] (w:1, o:74, a:1, s:1, b:0),
% 3.14/3.50 para [40, 4] (w:1, o:83, a:1, s:1, b:0),
% 3.14/3.50 perp [43, 4] (w:1, o:84, a:1, s:1, b:0),
% 3.14/3.50 midp [45, 3] (w:1, o:75, a:1, s:1, b:0),
% 3.14/3.50 cong [47, 4] (w:1, o:85, a:1, s:1, b:0),
% 3.14/3.50 circle [48, 4] (w:1, o:86, a:1, s:1, b:0),
% 3.14/3.50 cyclic [49, 4] (w:1, o:87, a:1, s:1, b:0),
% 3.14/3.50 eqangle [54, 8] (w:1, o:102, a:1, s:1, b:0),
% 3.14/3.50 eqratio [57, 8] (w:1, o:103, a:1, s:1, b:0),
% 3.14/3.50 simtri [59, 6] (w:1, o:99, a:1, s:1, b:0),
% 3.14/3.50 contri [60, 6] (w:1, o:100, a:1, s:1, b:0),
% 3.14/3.50 midpoint [69, 3] (w:1, o:76, a:1, s:1, b:0),
% 3.14/3.50 alpha1 [70, 3] (w:1, o:77, a:1, s:1, b:1),
% 22.70/23.09 alpha2 [71, 4] (w:1, o:88, a:1, s:1, b:1),
% 22.70/23.09 skol1 [72, 4] (w:1, o:89, a:1, s:1, b:1),
% 22.70/23.09 skol2 [73, 4] (w:1, o:91, a:1, s:1, b:1),
% 22.70/23.09 skol3 [74, 4] (w:1, o:93, a:1, s:1, b:1),
% 22.70/23.09 skol4 [75, 4] (w:1, o:94, a:1, s:1, b:1),
% 22.70/23.09 skol5 [76, 4] (w:1, o:95, a:1, s:1, b:1),
% 22.70/23.09 skol6 [77, 6] (w:1, o:101, a:1, s:1, b:1),
% 22.70/23.09 skol7 [78, 2] (w:1, o:70, a:1, s:1, b:1),
% 22.70/23.09 skol8 [79, 4] (w:1, o:96, a:1, s:1, b:1),
% 22.70/23.09 skol9 [80, 4] (w:1, o:97, a:1, s:1, b:1),
% 22.70/23.09 skol10 [81, 3] (w:1, o:78, a:1, s:1, b:1),
% 22.70/23.09 skol11 [82, 3] (w:1, o:79, a:1, s:1, b:1),
% 22.70/23.09 skol12 [83, 2] (w:1, o:71, a:1, s:1, b:1),
% 22.70/23.09 skol13 [84, 5] (w:1, o:98, a:1, s:1, b:1),
% 22.70/23.09 skol14 [85, 3] (w:1, o:80, a:1, s:1, b:1),
% 22.70/23.09 skol15 [86, 3] (w:1, o:81, a:1, s:1, b:1),
% 22.70/23.09 skol16 [87, 3] (w:1, o:82, a:1, s:1, b:1),
% 22.70/23.09 skol17 [88, 2] (w:1, o:72, a:1, s:1, b:1),
% 22.70/23.09 skol18 [89, 2] (w:1, o:73, a:1, s:1, b:1),
% 22.70/23.09 skol19 [90, 4] (w:1, o:90, a:1, s:1, b:1),
% 22.70/23.09 skol20 [91, 0] (w:1, o:29, a:1, s:1, b:1),
% 22.70/23.09 skol21 [92, 4] (w:1, o:92, a:1, s:1, b:1),
% 22.70/23.09 skol22 [93, 0] (w:1, o:30, a:1, s:1, b:1),
% 22.70/23.09 skol23 [94, 0] (w:1, o:31, a:1, s:1, b:1),
% 22.70/23.09 skol24 [95, 0] (w:1, o:32, a:1, s:1, b:1),
% 22.70/23.09 skol25 [96, 0] (w:1, o:33, a:1, s:1, b:1),
% 22.70/23.09 skol26 [97, 0] (w:1, o:34, a:1, s:1, b:1),
% 22.70/23.09 skol27 [98, 0] (w:1, o:35, a:1, s:1, b:1),
% 22.70/23.09 skol28 [99, 0] (w:1, o:36, a:1, s:1, b:1),
% 22.70/23.09 skol29 [100, 0] (w:1, o:37, a:1, s:1, b:1),
% 22.70/23.09 skol30 [101, 0] (w:1, o:38, a:1, s:1, b:1),
% 22.70/23.09 skol31 [102, 0] (w:1, o:39, a:1, s:1, b:1),
% 22.70/23.09 skol32 [103, 0] (w:1, o:40, a:1, s:1, b:1).
% 22.70/23.09
% 22.70/23.09
% 22.70/23.09 Starting Search:
% 22.70/23.09
% 22.70/23.09 *** allocated 15000 integers for clauses
% 22.70/23.09 *** allocated 22500 integers for clauses
% 22.70/23.09 *** allocated 33750 integers for clauses
% 22.70/23.09 *** allocated 22500 integers for termspace/termends
% 22.70/23.09 *** allocated 50625 integers for clauses
% 22.70/23.09 *** allocated 75937 integers for clauses
% 22.70/23.09 Resimplifying inuse:
% 22.70/23.09 Done
% 22.70/23.09
% 22.70/23.09 *** allocated 33750 integers for termspace/termends
% 22.70/23.09 *** allocated 113905 integers for clauses
% 22.70/23.09 *** allocated 50625 integers for termspace/termends
% 22.70/23.09
% 22.70/23.09 Intermediate Status:
% 22.70/23.09 Generated: 19787
% 22.70/23.09 Kept: 2068
% 22.70/23.09 Inuse: 336
% 22.70/23.09 Deleted: 1
% 22.70/23.09 Deletedinuse: 1
% 22.70/23.09
% 22.70/23.09 Resimplifying inuse:
% 22.70/23.09 Done
% 22.70/23.09
% 22.70/23.09 *** allocated 170857 integers for clauses
% 22.70/23.09 *** allocated 75937 integers for termspace/termends
% 22.70/23.09 Resimplifying inuse:
% 22.70/23.09 Done
% 22.70/23.09
% 22.70/23.09 *** allocated 256285 integers for clauses
% 22.70/23.09 *** allocated 113905 integers for termspace/termends
% 22.70/23.09
% 22.70/23.09 Intermediate Status:
% 22.70/23.09 Generated: 39094
% 22.70/23.09 Kept: 4078
% 22.70/23.09 Inuse: 471
% 22.70/23.09 Deleted: 1
% 22.70/23.09 Deletedinuse: 1
% 22.70/23.09
% 22.70/23.09 Resimplifying inuse:
% 22.70/23.09 Done
% 22.70/23.09
% 22.70/23.09 Resimplifying inuse:
% 22.70/23.09 Done
% 22.70/23.09
% 22.70/23.09 *** allocated 170857 integers for termspace/termends
% 22.70/23.09 *** allocated 384427 integers for clauses
% 22.70/23.09
% 22.70/23.09 Intermediate Status:
% 22.70/23.09 Generated: 50757
% 22.70/23.09 Kept: 6118
% 22.70/23.09 Inuse: 536
% 22.70/23.09 Deleted: 1
% 22.70/23.09 Deletedinuse: 1
% 22.70/23.09
% 22.70/23.09 Resimplifying inuse:
% 22.70/23.09 Done
% 22.70/23.09
% 22.70/23.09 Resimplifying inuse:
% 22.70/23.09 Done
% 22.70/23.09
% 22.70/23.09 *** allocated 576640 integers for clauses
% 22.70/23.09
% 22.70/23.09 Intermediate Status:
% 22.70/23.09 Generated: 69556
% 22.70/23.09 Kept: 8120
% 22.70/23.09 Inuse: 709
% 22.70/23.09 Deleted: 2
% 22.70/23.09 Deletedinuse: 1
% 22.70/23.09
% 22.70/23.09 *** allocated 256285 integers for termspace/termends
% 22.70/23.09 Resimplifying inuse:
% 22.70/23.09 Done
% 22.70/23.09
% 22.70/23.09 Resimplifying inuse:
% 22.70/23.09 Done
% 22.70/23.09
% 22.70/23.09
% 22.70/23.09 Intermediate Status:
% 22.70/23.09 Generated: 92403
% 22.70/23.09 Kept: 10299
% 22.70/23.09 Inuse: 825
% 22.70/23.09 Deleted: 11
% 22.70/23.09 Deletedinuse: 5
% 22.70/23.09
% 22.70/23.09 Resimplifying inuse:
% 22.70/23.09 Done
% 22.70/23.09
% 22.70/23.09 Resimplifying inuse:
% 22.70/23.09 Done
% 22.70/23.09
% 22.70/23.09 *** allocated 864960 integers for clauses
% 22.70/23.09
% 22.70/23.09 Intermediate Status:
% 22.70/23.09 Generated: 102506
% 22.70/23.09 Kept: 12542
% 22.70/23.09 Inuse: 865
% 22.70/23.09 Deleted: 20
% 22.70/23.09 Deletedinuse: 14
% 22.70/23.09
% 22.70/23.09 Resimplifying inuse:
% 22.70/23.09 Done
% 22.70/23.09
% 22.70/23.09 Resimplifying inuse:
% 22.70/23.09 Done
% 22.70/23.09
% 22.70/23.09
% 22.70/23.09 Intermediate Status:
% 22.70/23.09 Generated: 118911
% 22.70/23.09 Kept: 14543
% 22.70/23.09 Inuse: 1016
% 22.70/23.09 Deleted: 32
% 22.70/23.09 Deletedinuse: 14
% 22.70/23.09
% 22.70/23.09 Resimplifying inuse:
% 22.70/23.09 Done
% 22.70/23.09
% 22.70/23.09 *** allocated 384427 integers for termspace/termends
% 22.70/23.09 Resimplifying inuse:
% 22.70/23.09 Done
% 22.70/23.09
% 22.70/23.09
% 22.70/23.09 Intermediate Status:
% 22.70/23.09 Generated: 132828
% 22.70/23.09 Kept: 16544
% 22.70/23.09 Inuse: 1133
% 22.70/23.09 Deleted: 56
% 22.70/23.09 Deletedinuse: 32
% 22.70/23.09
% 22.70/23.09 Resimplifying inuse:
% 22.70/23.09 Done
% 22.70/23.09
% 22.70/23.09 Resimplifying inuse:
% 22.70/23.09 Done
% 22.70/23.09
% 22.70/23.09 *** allocated 1297440 integers for clauses
% 22.70/23.09
% 22.70/23.09 Intermediate Status:
% 22.70/23.09 Generated: 152599
% 22.70/23.09 Kept: 18552
% 22.70/23.09 Inuse: 1305
% 22.70/23.09 Deleted: 72
% 22.70/23.09 Deletedinuse: 35
% 22.70/23.09
% 22.70/23.09 Resimplifying inuse:
% 22.70/23.09 Done
% 22.70/23.09
% 22.70/23.09 Resimplifying inuse:
% 22.70/23.09 Done
% 22.70/23.09
% 22.70/23.09 Resimplifying clauses:
% 22.70/23.09 Done
% 22.70/23.09
% 22.70/23.09
% 22.70/23.09 Intermediate Status:
% 22.70/23.09 Generated: 170525
% 22.70/23.09 Kept: 20566
% 22.70/23.09 Inuse: 1446
% 22.70/23.09 Deleted: 1651
% 22.70/23.09 Deletedinuse: 45
% 22.70/23.09
% 22.70/23.09 Resimplifying inuse:
% 22.70/23.09 Done
% 22.70/23.09
% 22.70/23.09 Resimplifying inuse:
% 22.70/23.09 Done
% 22.70/23.09
% 22.70/23.09
% 22.70/23.09 Intermediate Status:
% 22.70/23.09 Generated: 210456
% 22.70/23.09 Kept: 22568
% 22.70/23.09 Inuse: 1591
% 22.70/23.09 Deleted: 1684
% 22.70/23.09 Deletedinuse: 78
% 22.70/23.09
% 22.70/23.09 Resimplifying inuse:
% 22.70/23.09 Done
% 22.70/23.09
% 22.70/23.09
% 22.70/23.09 Intermediate Status:
% 22.70/23.09 Generated: 231477
% 22.70/23.09 Kept: 24605
% 22.70/23.09 Inuse: 1638
% 22.70/23.09 Deleted: 1685
% 22.70/23.09 Deletedinuse: 78
% 22.70/23.09
% 22.70/23.09 Resimplifying inuse:
% 22.70/23.09 Done
% 22.70/23.09
% 22.70/23.09 *** allocated 576640 integers for termspace/termends
% 22.70/23.09 Resimplifying inuse:
% 22.70/23.09 Done
% 22.70/23.09
% 22.70/23.09
% 22.70/23.09 Intermediate Status:
% 22.70/23.09 Generated: 245513
% 22.70/23.09 Kept: 26794
% 22.70/23.09 Inuse: 1658
% 22.70/23.09 Deleted: 1685
% 22.70/23.09 Deletedinuse: 78
% 22.70/23.09
% 22.70/23.09 Resimplifying inuse:
% 22.70/23.09 Done
% 22.70/23.09
% 22.70/23.09
% 22.70/23.09 Intermediate Status:
% 22.70/23.09 Generated: 251822
% 22.70/23.09 Kept: 28839
% 22.70/23.09 Inuse: 1668
% 22.70/23.09 Deleted: 1697
% 22.70/23.09 Deletedinuse: 90
% 22.70/23.09
% 22.70/23.09 Resimplifying inuse:
% 22.70/23.09 Done
% 22.70/23.09
% 22.70/23.09 *** allocated 1946160 integers for clauses
% 22.70/23.09 Resimplifying inuse:
% 22.70/23.09 Done
% 22.70/23.09
% 22.70/23.09
% 22.70/23.09 Intermediate Status:
% 22.70/23.09 Generated: 269602
% 22.70/23.09 Kept: 31047
% 22.70/23.09 Inuse: 1717
% 22.70/23.09 Deleted: 1704
% 22.70/23.09 Deletedinuse: 96
% 22.70/23.09
% 22.70/23.09 Resimplifying inuse:
% 22.70/23.09 Done
% 22.70/23.09
% 22.70/23.09 Resimplifying inuse:
% 22.70/23.09 Done
% 22.70/23.09
% 22.70/23.09
% 22.70/23.09 Intermediate Status:
% 22.70/23.09 Generated: 275559
% 22.70/23.09 Kept: 33048
% 22.70/23.09 Inuse: 1747
% 22.70/23.09 Deleted: 1711
% 22.70/23.09 Deletedinuse: 101
% 22.70/23.09
% 22.70/23.09 Resimplifying inuse:
% 22.70/23.09 Done
% 22.70/23.09
% 22.70/23.09
% 22.70/23.09 Intermediate Status:
% 22.70/23.09 Generated: 286614
% 22.70/23.09 Kept: 35444
% 22.70/23.09 Inuse: 1831
% 22.70/23.09 Deleted: 1715
% 22.70/23.09 Deletedinuse: 101
% 22.70/23.09
% 22.70/23.09 Resimplifying inuse:
% 22.70/23.09 Done
% 22.70/23.09
% 22.70/23.09 Resimplifying inuse:
% 22.70/23.09 Done
% 22.70/23.09
% 22.70/23.09
% 22.70/23.09 Intermediate Status:
% 22.70/23.09 Generated: 295323
% 22.70/23.09 Kept: 37454
% 22.70/23.09 Inuse: 1885
% 22.70/23.09 Deleted: 1719
% 22.70/23.09 Deletedinuse: 102
% 22.70/23.09
% 22.70/23.09 Resimplifying inuse:
% 22.70/23.09 Done
% 22.70/23.09
% 22.70/23.09 Resimplifying inuse:
% 22.70/23.09 Done
% 22.70/23.09
% 22.70/23.09
% 22.70/23.09 Intermediate Status:
% 22.70/23.09 Generated: 309915
% 22.70/23.09 Kept: 39467
% 22.70/23.09 Inuse: 1993
% 22.70/23.09 Deleted: 1725
% 22.70/23.09 Deletedinuse: 105
% 22.70/23.09
% 22.70/23.09 Resimplifying inuse:
% 22.70/23.09 Done
% 22.70/23.09
% 22.70/23.09 Resimplifying clauses:
% 22.70/23.09 Done
% 22.70/23.09
% 22.70/23.09 *** allocated 864960 integers for termspace/termends
% 22.70/23.09 Resimplifying inuse:
% 22.70/23.09 Done
% 22.70/23.09
% 22.70/23.09
% 22.70/23.09 Intermediate Status:
% 22.70/23.09 Generated: 326107
% 22.70/23.09 Kept: 41467
% 22.70/23.09 Inuse: 2142
% 22.70/23.09 Deleted: 6654
% 22.70/23.09 Deletedinuse: 110
% 22.70/23.09
% 22.70/23.09 Resimplifying inuse:
% 22.70/23.09 Done
% 22.70/23.09
% 22.70/23.09 Resimplifying inuse:
% 22.70/23.09 Done
% 22.70/23.09
% 22.70/23.09
% 22.70/23.09 Intermediate Status:
% 22.70/23.09 Generated: 347717
% 22.70/23.09 Kept: 43512
% 22.70/23.09 Inuse: 2293
% 22.70/23.09 Deleted: 6663
% 22.70/23.09 Deletedinuse: 118
% 22.70/23.09
% 22.70/23.09 Resimplifying inuse:
% 22.70/23.09 Done
% 22.70/23.09
% 22.70/23.09 Resimplifying inuse:
% 22.70/23.09 Done
% 22.70/23.09
% 22.70/23.09 *** allocated 2919240 integers for clauses
% 22.70/23.09
% 22.70/23.09 Intermediate Status:
% 22.70/23.09 Generated: 364748
% 22.70/23.09 Kept: 45540
% 22.70/23.09 Inuse: 2441
% 22.70/23.09 Deleted: 6671
% 22.70/23.09 Deletedinuse: 126
% 22.70/23.09
% 22.70/23.09 Resimplifying inuse:
% 22.70/23.09 Done
% 22.70/23.09
% 22.70/23.09 Resimplifying inuse:
% 22.70/23.09 Done
% 22.70/23.09
% 22.70/23.09
% 22.70/23.09 Intermediate Status:
% 22.70/23.09 Generated: 382486
% 22.70/23.09 Kept: 47548
% 22.70/23.09 Inuse: 2571
% 22.70/23.09 Deleted: 6682
% 22.70/23.09 Deletedinuse: 136
% 22.70/23.09
% 22.70/23.09 Resimplifying inuse:
% 22.70/23.09 Done
% 22.70/23.09
% 22.70/23.09 Resimplifying inuse:
% 22.70/23.09 Done
% 22.70/23.09
% 22.70/23.09
% 22.70/23.09 Intermediate Status:
% 22.70/23.09 Generated: 412710
% 22.70/23.09 Kept: 49552
% 22.70/23.09 Inuse: 2706
% 22.70/23.09 Deleted: 6694
% 22.70/23.09 Deletedinuse: 147
% 22.70/23.09
% 22.70/23.09 Resimplifying inuse:
% 22.70/23.09 Done
% 22.70/23.09
% 22.70/23.09 Resimplifying inuse:
% 22.70/23.09 Done
% 22.70/23.09
% 22.70/23.09
% 22.70/23.09 Intermediate Status:
% 22.70/23.09 Generated: 430273
% 22.70/23.09 Kept: 51553
% 22.70/23.09 Inuse: 2796
% 22.70/23.09 Deleted: 6948
% 22.70/23.09 Deletedinuse: 314
% 22.70/23.09
% 22.70/23.09 Resimplifying inuse:
% 22.70/23.09 Done
% 22.70/23.09
% 22.70/23.09 Resimplifying inuse:
% 22.70/23.09 Done
% 22.70/23.09
% 22.70/23.09
% 22.70/23.09 Intermediate Status:
% 22.70/23.09 Generated: 451521
% 22.70/23.09 Kept: 53557
% 22.70/23.09 Inuse: 2925
% 22.70/23.09 Deleted: 6978
% 22.70/23.09 Deletedinuse: 314
% 22.70/23.09
% 22.70/23.09 Resimplifying inuse:
% 22.70/23.09 Done
% 22.70/23.09
% 22.70/23.09 Resimplifying inuse:
% 22.70/23.09 Done
% 22.70/23.09
% 22.70/23.09
% 22.70/23.09 Intermediate Status:
% 22.70/23.09 Generated: 469553
% 22.70/23.09 Kept: 55557
% 22.70/23.09 Inuse: 3116
% 22.70/23.09 Deleted: 10376
% 22.70/23.09 Deletedinuse: 314
% 22.70/23.09
% 22.70/23.09
% 22.70/23.09 Bliksems!, er is een bewijs:
% 22.70/23.09 % SZS status Theorem
% 22.70/23.09 % SZS output start Refutation
% 22.70/23.09
% 22.70/23.09 (0) {G0,W8,D2,L2,V3,M2} I { ! coll( X, Y, Z ), coll( X, Z, Y ) }.
% 22.70/23.09 (2) {G0,W12,D2,L3,V4,M3} I { ! coll( X, T, Y ), ! coll( X, T, Z ), coll( Y
% 22.70/23.09 , Z, X ) }.
% 22.70/23.09 (3) {G0,W10,D2,L2,V4,M2} I { ! para( X, Y, Z, T ), para( X, Y, T, Z ) }.
% 22.70/23.09 (4) {G0,W10,D2,L2,V4,M2} I { ! para( X, Y, Z, T ), para( Z, T, X, Y ) }.
% 22.70/23.09 (5) {G0,W15,D2,L3,V6,M3} I { ! para( X, Y, U, W ), ! para( U, W, Z, T ),
% 22.70/23.09 para( X, Y, Z, T ) }.
% 22.70/23.09 (6) {G0,W10,D2,L2,V4,M2} I { ! perp( X, Y, Z, T ), perp( X, Y, T, Z ) }.
% 22.70/23.09 (7) {G0,W10,D2,L2,V4,M2} I { ! perp( X, Y, Z, T ), perp( Z, T, X, Y ) }.
% 22.70/23.09 (8) {G0,W15,D2,L3,V6,M3} I { ! perp( X, Y, U, W ), ! perp( U, W, Z, T ),
% 22.70/23.09 para( X, Y, Z, T ) }.
% 22.70/23.09 (13) {G0,W10,D2,L2,V4,M2} I { ! cyclic( X, Y, Z, T ), cyclic( X, Y, T, Z )
% 22.70/23.09 }.
% 22.70/23.09 (14) {G0,W10,D2,L2,V4,M2} I { ! cyclic( X, Y, Z, T ), cyclic( X, Z, Y, T )
% 22.70/23.09 }.
% 22.70/23.09 (15) {G0,W10,D2,L2,V4,M2} I { ! cyclic( X, Y, Z, T ), cyclic( Y, X, Z, T )
% 22.70/23.09 }.
% 22.70/23.09 (16) {G0,W15,D2,L3,V5,M3} I { ! cyclic( U, X, Y, Z ), ! cyclic( U, X, Y, T
% 22.70/23.09 ), cyclic( X, Y, Z, T ) }.
% 22.70/23.09 (18) {G0,W18,D2,L2,V8,M2} I { ! eqangle( X, Y, Z, T, U, W, V0, V1 ),
% 22.70/23.09 eqangle( Z, T, X, Y, V0, V1, U, W ) }.
% 22.70/23.09 (19) {G0,W18,D2,L2,V8,M2} I { ! eqangle( X, Y, Z, T, U, W, V0, V1 ),
% 22.70/23.09 eqangle( U, W, V0, V1, X, Y, Z, T ) }.
% 22.70/23.09 (20) {G0,W18,D2,L2,V8,M2} I { ! eqangle( X, Y, Z, T, U, W, V0, V1 ),
% 22.70/23.09 eqangle( X, Y, U, W, Z, T, V0, V1 ) }.
% 22.70/23.09 (21) {G0,W27,D2,L3,V12,M3} I { ! eqangle( X, Y, Z, T, V2, V3, V4, V5 ), !
% 22.70/23.09 eqangle( V2, V3, V4, V5, U, W, V0, V1 ), eqangle( X, Y, Z, T, U, W, V0,
% 22.70/23.09 V1 ) }.
% 22.70/23.09 (39) {G0,W14,D2,L2,V6,M2} I { ! para( X, Y, Z, T ), eqangle( X, Y, U, W, Z
% 22.70/23.09 , T, U, W ) }.
% 22.70/23.09 (40) {G0,W14,D2,L2,V4,M2} I { ! cyclic( X, Y, Z, T ), eqangle( Z, X, Z, Y,
% 22.70/23.09 T, X, T, Y ) }.
% 22.70/23.09 (42) {G0,W18,D2,L3,V4,M3} I { ! eqangle( Z, X, Z, Y, T, X, T, Y ), ! coll(
% 22.70/23.09 Z, T, Y ), cyclic( X, Y, Z, T ) }.
% 22.70/23.09 (43) {G0,W29,D2,L5,V6,M5} I { ! cyclic( X, Y, U, Z ), ! cyclic( X, Y, U, T
% 22.70/23.09 ), ! cyclic( X, Y, U, W ), ! eqangle( U, X, U, Y, W, Z, W, T ), cong( X
% 22.70/23.09 , Y, Z, T ) }.
% 22.70/23.09 (56) {G0,W15,D2,L3,V4,M3} I { ! cong( X, Z, Y, Z ), ! cong( X, T, Y, T ),
% 22.70/23.09 perp( X, Y, Z, T ) }.
% 22.70/23.09 (66) {G0,W9,D2,L2,V3,M2} I { ! para( X, Y, X, Z ), coll( X, Y, Z ) }.
% 22.70/23.09 (120) {G0,W5,D2,L1,V0,M1} I { perp( skol26, skol22, skol27, skol28 ) }.
% 22.70/23.09 (127) {G0,W9,D2,L1,V0,M1} I { ! eqangle( skol23, skol22, skol22, skol20,
% 22.70/23.09 skol20, skol22, skol22, skol24 ) }.
% 22.70/23.09 (194) {G1,W12,D2,L3,V4,M3} R(2,0) { ! coll( X, Y, Z ), ! coll( X, Y, T ),
% 22.70/23.09 coll( Z, X, T ) }.
% 22.70/23.09 (199) {G2,W8,D2,L2,V3,M2} F(194) { ! coll( X, Y, Z ), coll( Z, X, Z ) }.
% 22.70/23.09 (216) {G3,W12,D2,L3,V4,M3} R(199,2) { coll( X, Y, X ), ! coll( X, Z, Y ), !
% 22.70/23.09 coll( X, Z, T ) }.
% 22.70/23.09 (227) {G4,W8,D2,L2,V3,M2} F(216) { coll( X, Y, X ), ! coll( X, Z, Y ) }.
% 22.70/23.09 (243) {G1,W15,D2,L3,V6,M3} R(5,4) { ! para( X, Y, Z, T ), para( X, Y, U, W
% 22.70/23.09 ), ! para( U, W, Z, T ) }.
% 22.70/23.09 (247) {G2,W10,D2,L2,V4,M2} F(243) { ! para( X, Y, Z, T ), para( X, Y, X, Y
% 22.70/23.09 ) }.
% 22.70/23.09 (267) {G1,W5,D2,L1,V0,M1} R(7,120) { perp( skol27, skol28, skol26, skol22 )
% 22.70/23.09 }.
% 22.70/23.09 (277) {G1,W15,D2,L3,V6,M3} R(8,7) { ! perp( X, Y, Z, T ), para( U, W, Z, T
% 22.70/23.09 ), ! perp( X, Y, U, W ) }.
% 22.70/23.09 (285) {G1,W10,D2,L2,V2,M2} R(8,120) { ! perp( X, Y, skol26, skol22 ), para
% 22.70/23.09 ( X, Y, skol27, skol28 ) }.
% 22.70/23.09 (336) {G2,W5,D2,L1,V0,M1} R(267,6) { perp( skol27, skol28, skol22, skol26 )
% 22.70/23.09 }.
% 22.70/23.09 (340) {G3,W5,D2,L1,V0,M1} R(336,7) { perp( skol22, skol26, skol27, skol28 )
% 22.70/23.09 }.
% 22.70/23.09 (344) {G4,W5,D2,L1,V0,M1} R(340,6) { perp( skol22, skol26, skol28, skol27 )
% 22.70/23.09 }.
% 22.70/23.09 (348) {G5,W5,D2,L1,V0,M1} R(344,7) { perp( skol28, skol27, skol22, skol26 )
% 22.70/23.09 }.
% 22.70/23.09 (352) {G6,W5,D2,L1,V0,M1} R(348,6) { perp( skol28, skol27, skol26, skol22 )
% 22.70/23.09 }.
% 22.70/23.09 (365) {G1,W10,D2,L2,V4,M2} R(14,13) { ! cyclic( X, Y, Z, T ), cyclic( X, Z
% 22.70/23.09 , T, Y ) }.
% 22.70/23.09 (381) {G1,W10,D2,L2,V4,M2} R(15,14) { cyclic( X, Y, Z, T ), ! cyclic( Y, Z
% 22.70/23.09 , X, T ) }.
% 22.70/23.09 (383) {G1,W10,D2,L2,V4,M2} R(15,13) { cyclic( X, Y, Z, T ), ! cyclic( Y, X
% 22.70/23.09 , T, Z ) }.
% 22.70/23.09 (402) {G1,W15,D2,L3,V5,M3} R(16,15) { ! cyclic( X, Y, Z, T ), ! cyclic( X,
% 22.70/23.09 Y, Z, U ), cyclic( Z, Y, T, U ) }.
% 22.70/23.09 (407) {G1,W15,D2,L3,V5,M3} R(16,13) { ! cyclic( X, Y, Z, T ), cyclic( Y, Z
% 22.70/23.09 , T, U ), ! cyclic( X, Y, U, Z ) }.
% 22.70/23.09 (411) {G2,W10,D2,L2,V4,M2} F(402) { ! cyclic( X, Y, Z, T ), cyclic( Z, Y, T
% 22.70/23.09 , T ) }.
% 22.70/23.09 (417) {G5,W8,D2,L2,V3,M2} R(227,0) { ! coll( X, Y, Z ), coll( X, X, Z ) }.
% 22.70/23.09 (455) {G1,W18,D2,L2,V8,M2} R(20,19) { ! eqangle( X, Y, Z, T, U, W, V0, V1 )
% 22.70/23.09 , eqangle( Z, T, V0, V1, X, Y, U, W ) }.
% 22.70/23.09 (779) {G1,W23,D2,L3,V10,M3} R(39,21) { ! para( X, Y, Z, T ), ! eqangle( Z,
% 22.70/23.09 T, U, W, V0, V1, V2, V3 ), eqangle( X, Y, U, W, V0, V1, V2, V3 ) }.
% 22.70/23.09 (783) {G1,W14,D2,L2,V6,M2} R(39,18) { ! para( X, Y, Z, T ), eqangle( U, W,
% 22.70/23.09 X, Y, U, W, Z, T ) }.
% 22.70/23.09 (787) {G1,W14,D2,L2,V6,M2} R(39,3) { eqangle( X, Y, Z, T, U, W, Z, T ), !
% 22.70/23.09 para( X, Y, W, U ) }.
% 22.70/23.09 (858) {G1,W18,D2,L3,V4,M3} R(42,19) { ! coll( X, Y, Z ), cyclic( T, Z, X, Y
% 22.70/23.09 ), ! eqangle( Y, T, Y, Z, X, T, X, Z ) }.
% 22.70/23.09 (932) {G1,W20,D2,L4,V4,M4} R(43,40);f { ! cyclic( X, Y, Z, X ), ! cyclic( X
% 22.70/23.09 , Y, Z, Y ), ! cyclic( X, Y, Z, T ), cong( X, Y, X, Y ) }.
% 22.70/23.09 (964) {G2,W15,D2,L3,V3,M3} F(932) { ! cyclic( X, Y, Z, X ), ! cyclic( X, Y
% 22.70/23.09 , Z, Y ), cong( X, Y, X, Y ) }.
% 22.70/23.09 (16528) {G7,W5,D2,L1,V0,M1} R(285,352) { para( skol28, skol27, skol27,
% 22.70/23.09 skol28 ) }.
% 22.70/23.09 (16709) {G8,W5,D2,L1,V0,M1} R(16528,247) { para( skol28, skol27, skol28,
% 22.70/23.09 skol27 ) }.
% 22.70/23.09 (16719) {G9,W4,D2,L1,V0,M1} R(16709,66) { coll( skol28, skol27, skol27 )
% 22.70/23.09 }.
% 22.70/23.09 (16738) {G10,W4,D2,L1,V0,M1} R(16719,417) { coll( skol28, skol28, skol27 )
% 22.70/23.09 }.
% 22.70/23.09 (46024) {G9,W9,D2,L1,V2,M1} R(783,16709) { eqangle( X, Y, skol28, skol27, X
% 22.70/23.09 , Y, skol28, skol27 ) }.
% 22.70/23.09 (50312) {G11,W5,D2,L1,V1,M1} R(858,16738);r(46024) { cyclic( X, skol27,
% 22.70/23.09 skol28, skol28 ) }.
% 22.70/23.09 (50499) {G12,W5,D2,L1,V1,M1} R(50312,383) { cyclic( skol27, X, skol28,
% 22.70/23.09 skol28 ) }.
% 22.70/23.09 (50511) {G13,W5,D2,L1,V1,M1} R(50499,411) { cyclic( skol28, X, skol28,
% 22.70/23.09 skol28 ) }.
% 22.70/23.09 (50533) {G14,W5,D2,L1,V1,M1} R(50511,381) { cyclic( skol28, skol28, X,
% 22.70/23.09 skol28 ) }.
% 22.70/23.09 (50534) {G14,W5,D2,L1,V1,M1} R(50511,365) { cyclic( skol28, skol28, skol28
% 22.70/23.09 , X ) }.
% 22.70/23.09 (50539) {G15,W5,D2,L1,V2,M1} R(50533,407);r(50534) { cyclic( skol28, skol28
% 22.70/23.09 , X, Y ) }.
% 22.70/23.09 (50845) {G16,W5,D2,L1,V3,M1} R(50539,407);r(50539) { cyclic( skol28, X, Y,
% 22.70/23.09 Z ) }.
% 22.70/23.09 (50864) {G17,W5,D2,L1,V4,M1} R(50845,407);r(50845) { cyclic( X, Y, Z, T )
% 22.70/23.09 }.
% 22.70/23.09 (55283) {G18,W5,D2,L1,V2,M1} S(964);r(50864);r(50864) { cong( X, Y, X, Y )
% 22.70/23.09 }.
% 22.70/23.09 (55300) {G19,W5,D2,L1,V3,M1} R(55283,56);r(55283) { perp( X, X, Z, Y ) }.
% 22.70/23.09 (55333) {G20,W5,D2,L1,V4,M1} R(55300,277);r(55300) { para( X, Y, Z, T ) }.
% 22.70/23.09 (55431) {G21,W9,D2,L1,V6,M1} R(55333,787) { eqangle( X, Y, Z, T, U, W, Z, T
% 22.70/23.09 ) }.
% 22.70/23.09 (55619) {G22,W9,D2,L1,V6,M1} R(55431,455) { eqangle( X, Y, X, Y, Z, T, U, W
% 22.70/23.09 ) }.
% 22.70/23.09 (55621) {G23,W9,D2,L1,V8,M1} R(55619,779);r(55333) { eqangle( X, Y, Z, T, U
% 22.70/23.09 , W, V0, V1 ) }.
% 22.70/23.09 (55622) {G24,W0,D0,L0,V0,M0} R(55621,127) { }.
% 22.70/23.09
% 22.70/23.09
% 22.70/23.09 % SZS output end Refutation
% 22.70/23.09 found a proof!
% 22.70/23.09
% 22.70/23.09
% 22.70/23.09 Unprocessed initial clauses:
% 22.70/23.09
% 22.70/23.09 (55624) {G0,W8,D2,L2,V3,M2} { ! coll( X, Y, Z ), coll( X, Z, Y ) }.
% 22.70/23.09 (55625) {G0,W8,D2,L2,V3,M2} { ! coll( X, Y, Z ), coll( Y, X, Z ) }.
% 22.70/23.09 (55626) {G0,W12,D2,L3,V4,M3} { ! coll( X, T, Y ), ! coll( X, T, Z ), coll
% 22.70/23.09 ( Y, Z, X ) }.
% 22.70/23.09 (55627) {G0,W10,D2,L2,V4,M2} { ! para( X, Y, Z, T ), para( X, Y, T, Z )
% 22.70/23.09 }.
% 22.70/23.09 (55628) {G0,W10,D2,L2,V4,M2} { ! para( X, Y, Z, T ), para( Z, T, X, Y )
% 22.70/23.09 }.
% 22.70/23.09 (55629) {G0,W15,D2,L3,V6,M3} { ! para( X, Y, U, W ), ! para( U, W, Z, T )
% 22.70/23.09 , para( X, Y, Z, T ) }.
% 22.70/23.09 (55630) {G0,W10,D2,L2,V4,M2} { ! perp( X, Y, Z, T ), perp( X, Y, T, Z )
% 22.70/23.09 }.
% 22.70/23.09 (55631) {G0,W10,D2,L2,V4,M2} { ! perp( X, Y, Z, T ), perp( Z, T, X, Y )
% 22.70/23.09 }.
% 22.70/23.09 (55632) {G0,W15,D2,L3,V6,M3} { ! perp( X, Y, U, W ), ! perp( U, W, Z, T )
% 22.70/23.09 , para( X, Y, Z, T ) }.
% 22.70/23.09 (55633) {G0,W15,D2,L3,V6,M3} { ! para( X, Y, U, W ), ! perp( U, W, Z, T )
% 22.70/23.09 , perp( X, Y, Z, T ) }.
% 22.70/23.09 (55634) {G0,W8,D2,L2,V3,M2} { ! midp( Z, Y, X ), midp( Z, X, Y ) }.
% 22.70/23.09 (55635) {G0,W15,D2,L3,V4,M3} { ! cong( T, X, T, Y ), ! cong( T, X, T, Z )
% 22.70/23.09 , circle( T, X, Y, Z ) }.
% 22.70/23.09 (55636) {G0,W20,D2,L4,V5,M4} { ! cong( U, X, U, Y ), ! cong( U, X, U, Z )
% 22.70/23.09 , ! cong( U, X, U, T ), cyclic( X, Y, Z, T ) }.
% 22.70/23.09 (55637) {G0,W10,D2,L2,V4,M2} { ! cyclic( X, Y, Z, T ), cyclic( X, Y, T, Z
% 22.70/23.09 ) }.
% 22.70/23.09 (55638) {G0,W10,D2,L2,V4,M2} { ! cyclic( X, Y, Z, T ), cyclic( X, Z, Y, T
% 22.70/23.09 ) }.
% 22.70/23.09 (55639) {G0,W10,D2,L2,V4,M2} { ! cyclic( X, Y, Z, T ), cyclic( Y, X, Z, T
% 22.70/23.09 ) }.
% 22.70/23.09 (55640) {G0,W15,D2,L3,V5,M3} { ! cyclic( U, X, Y, Z ), ! cyclic( U, X, Y,
% 22.70/23.09 T ), cyclic( X, Y, Z, T ) }.
% 22.70/23.09 (55641) {G0,W18,D2,L2,V8,M2} { ! eqangle( X, Y, Z, T, U, W, V0, V1 ),
% 22.70/23.09 eqangle( Y, X, Z, T, U, W, V0, V1 ) }.
% 22.70/23.09 (55642) {G0,W18,D2,L2,V8,M2} { ! eqangle( X, Y, Z, T, U, W, V0, V1 ),
% 22.70/23.09 eqangle( Z, T, X, Y, V0, V1, U, W ) }.
% 22.70/23.09 (55643) {G0,W18,D2,L2,V8,M2} { ! eqangle( X, Y, Z, T, U, W, V0, V1 ),
% 22.70/23.09 eqangle( U, W, V0, V1, X, Y, Z, T ) }.
% 22.70/23.09 (55644) {G0,W18,D2,L2,V8,M2} { ! eqangle( X, Y, Z, T, U, W, V0, V1 ),
% 22.70/23.09 eqangle( X, Y, U, W, Z, T, V0, V1 ) }.
% 22.70/23.09 (55645) {G0,W27,D2,L3,V12,M3} { ! eqangle( X, Y, Z, T, V2, V3, V4, V5 ), !
% 22.70/23.09 eqangle( V2, V3, V4, V5, U, W, V0, V1 ), eqangle( X, Y, Z, T, U, W, V0,
% 22.70/23.09 V1 ) }.
% 22.70/23.09 (55646) {G0,W10,D2,L2,V4,M2} { ! cong( X, Y, Z, T ), cong( X, Y, T, Z )
% 22.70/23.09 }.
% 22.70/23.09 (55647) {G0,W10,D2,L2,V4,M2} { ! cong( X, Y, Z, T ), cong( Z, T, X, Y )
% 22.70/23.09 }.
% 22.70/23.09 (55648) {G0,W15,D2,L3,V6,M3} { ! cong( X, Y, U, W ), ! cong( U, W, Z, T )
% 22.70/23.09 , cong( X, Y, Z, T ) }.
% 22.70/23.09 (55649) {G0,W18,D2,L2,V8,M2} { ! eqratio( X, Y, Z, T, U, W, V0, V1 ),
% 22.70/23.09 eqratio( Y, X, Z, T, U, W, V0, V1 ) }.
% 22.70/23.09 (55650) {G0,W18,D2,L2,V8,M2} { ! eqratio( X, Y, Z, T, U, W, V0, V1 ),
% 22.70/23.09 eqratio( Z, T, X, Y, V0, V1, U, W ) }.
% 22.70/23.09 (55651) {G0,W18,D2,L2,V8,M2} { ! eqratio( X, Y, Z, T, U, W, V0, V1 ),
% 22.70/23.09 eqratio( U, W, V0, V1, X, Y, Z, T ) }.
% 22.70/23.09 (55652) {G0,W18,D2,L2,V8,M2} { ! eqratio( X, Y, Z, T, U, W, V0, V1 ),
% 22.70/23.09 eqratio( X, Y, U, W, Z, T, V0, V1 ) }.
% 22.70/23.09 (55653) {G0,W27,D2,L3,V12,M3} { ! eqratio( X, Y, Z, T, V2, V3, V4, V5 ), !
% 22.70/23.09 eqratio( V2, V3, V4, V5, U, W, V0, V1 ), eqratio( X, Y, Z, T, U, W, V0,
% 22.70/23.09 V1 ) }.
% 22.70/23.09 (55654) {G0,W14,D2,L2,V6,M2} { ! simtri( X, Z, Y, T, W, U ), simtri( X, Y
% 22.70/23.09 , Z, T, U, W ) }.
% 22.70/23.09 (55655) {G0,W14,D2,L2,V6,M2} { ! simtri( Y, X, Z, U, T, W ), simtri( X, Y
% 22.70/23.09 , Z, T, U, W ) }.
% 22.70/23.09 (55656) {G0,W14,D2,L2,V6,M2} { ! simtri( T, U, W, X, Y, Z ), simtri( X, Y
% 22.70/23.09 , Z, T, U, W ) }.
% 22.70/23.09 (55657) {G0,W21,D2,L3,V9,M3} { ! simtri( X, Y, Z, V0, V1, V2 ), ! simtri(
% 22.70/23.09 V0, V1, V2, T, U, W ), simtri( X, Y, Z, T, U, W ) }.
% 22.70/23.09 (55658) {G0,W14,D2,L2,V6,M2} { ! contri( X, Z, Y, T, W, U ), contri( X, Y
% 22.70/23.09 , Z, T, U, W ) }.
% 22.70/23.09 (55659) {G0,W14,D2,L2,V6,M2} { ! contri( Y, X, Z, U, T, W ), contri( X, Y
% 22.70/23.09 , Z, T, U, W ) }.
% 22.70/23.09 (55660) {G0,W14,D2,L2,V6,M2} { ! contri( T, U, W, X, Y, Z ), contri( X, Y
% 22.70/23.09 , Z, T, U, W ) }.
% 22.70/23.09 (55661) {G0,W21,D2,L3,V9,M3} { ! contri( X, Y, Z, V0, V1, V2 ), ! contri(
% 22.70/23.09 V0, V1, V2, T, U, W ), contri( X, Y, Z, T, U, W ) }.
% 22.70/23.09 (55662) {G0,W14,D2,L2,V6,M2} { ! eqangle( X, Y, U, W, Z, T, U, W ), para(
% 22.70/23.09 X, Y, Z, T ) }.
% 22.70/23.09 (55663) {G0,W14,D2,L2,V6,M2} { ! para( X, Y, Z, T ), eqangle( X, Y, U, W,
% 22.70/23.09 Z, T, U, W ) }.
% 22.70/23.09 (55664) {G0,W14,D2,L2,V4,M2} { ! cyclic( X, Y, Z, T ), eqangle( Z, X, Z, Y
% 22.70/23.09 , T, X, T, Y ) }.
% 22.70/23.09 (55665) {G0,W18,D2,L3,V4,M3} { ! eqangle( Z, X, Z, Y, T, X, T, Y ), coll(
% 22.70/23.09 Z, T, X ), cyclic( X, Y, Z, T ) }.
% 22.70/23.09 (55666) {G0,W18,D2,L3,V4,M3} { ! eqangle( Z, X, Z, Y, T, X, T, Y ), ! coll
% 22.70/23.09 ( Z, T, Y ), cyclic( X, Y, Z, T ) }.
% 22.70/23.09 (55667) {G0,W29,D2,L5,V6,M5} { ! cyclic( X, Y, U, Z ), ! cyclic( X, Y, U,
% 22.70/23.09 T ), ! cyclic( X, Y, U, W ), ! eqangle( U, X, U, Y, W, Z, W, T ), cong( X
% 22.70/23.09 , Y, Z, T ) }.
% 22.70/23.09 (55668) {G0,W13,D2,L3,V5,M3} { ! midp( Z, U, X ), ! midp( T, U, Y ), para
% 22.70/23.09 ( Z, T, X, Y ) }.
% 22.70/23.09 (55669) {G0,W17,D2,L4,V5,M4} { ! midp( U, X, T ), ! para( U, Z, T, Y ), !
% 22.70/23.09 coll( Z, X, Y ), midp( Z, X, Y ) }.
% 22.70/23.09 (55670) {G0,W14,D2,L2,V3,M2} { ! cong( Z, X, Z, Y ), eqangle( Z, X, X, Y,
% 22.70/23.09 X, Y, Z, Y ) }.
% 22.70/23.09 (55671) {G0,W18,D2,L3,V3,M3} { ! eqangle( Z, X, X, Y, X, Y, Z, Y ), coll(
% 22.70/23.09 Z, X, Y ), cong( Z, X, Z, Y ) }.
% 22.70/23.09 (55672) {G0,W19,D2,L3,V5,M3} { ! circle( U, X, Y, Z ), ! perp( U, X, X, T
% 22.70/23.09 ), eqangle( X, T, X, Y, Z, X, Z, Y ) }.
% 22.70/23.09 (55673) {G0,W19,D2,L3,V5,M3} { ! circle( Y, X, T, U ), ! eqangle( X, Z, X
% 22.70/23.09 , T, U, X, U, T ), perp( Y, X, X, Z ) }.
% 22.70/23.09 (55674) {G0,W18,D2,L3,V5,M3} { ! circle( T, X, Y, Z ), ! midp( U, Y, Z ),
% 22.70/23.09 eqangle( X, Y, X, Z, T, Y, T, U ) }.
% 22.70/23.09 (55675) {G0,W22,D2,L4,V5,M4} { ! circle( U, T, X, Y ), ! coll( Z, X, Y ),
% 22.70/23.09 ! eqangle( T, X, T, Y, U, X, U, Z ), midp( Z, X, Y ) }.
% 22.70/23.09 (55676) {G0,W14,D2,L3,V4,M3} { ! perp( X, Y, Y, T ), ! midp( Z, X, T ),
% 22.70/23.09 cong( X, Z, Y, Z ) }.
% 22.70/23.09 (55677) {G0,W14,D2,L3,V4,M3} { ! circle( T, X, Y, Z ), ! coll( T, X, Z ),
% 22.70/23.09 perp( X, Y, Y, Z ) }.
% 22.70/23.09 (55678) {G0,W19,D2,L3,V4,M3} { ! cyclic( X, Y, Z, T ), ! para( X, Y, Z, T
% 22.70/23.09 ), eqangle( X, T, Z, T, Z, T, Z, Y ) }.
% 22.70/23.09 (55679) {G0,W14,D2,L3,V4,M3} { ! midp( T, X, Y ), ! perp( Z, T, X, Y ),
% 22.70/23.09 cong( Z, X, Z, Y ) }.
% 22.70/23.09 (55680) {G0,W15,D2,L3,V4,M3} { ! cong( X, Z, Y, Z ), ! cong( X, T, Y, T )
% 22.70/23.09 , perp( X, Y, Z, T ) }.
% 22.70/23.09 (55681) {G0,W20,D2,L4,V4,M4} { ! cong( X, Y, T, Y ), ! cong( X, Z, T, Z )
% 22.70/23.09 , ! cyclic( X, T, Y, Z ), perp( Y, X, X, Z ) }.
% 22.70/23.09 (55682) {G0,W29,D2,L4,V6,M4} { ! eqangle( X, Y, Y, Z, T, U, U, W ), !
% 22.70/23.09 eqangle( X, Z, Y, Z, T, W, U, W ), coll( X, Y, Z ), simtri( X, Y, Z, T, U
% 22.70/23.09 , W ) }.
% 22.70/23.09 (55683) {G0,W16,D2,L2,V6,M2} { ! simtri( X, Y, Z, T, U, W ), eqratio( X, Y
% 22.70/23.09 , X, Z, T, U, T, W ) }.
% 22.70/23.09 (55684) {G0,W16,D2,L2,V6,M2} { ! simtri( X, Y, Z, T, U, W ), eqangle( X, Y
% 22.70/23.09 , Y, Z, T, U, U, W ) }.
% 22.70/23.09 (55685) {G0,W19,D2,L3,V6,M3} { ! simtri( X, Y, Z, T, U, W ), ! cong( X, Y
% 22.70/23.09 , T, U ), contri( X, Y, Z, T, U, W ) }.
% 22.70/23.09 (55686) {G0,W12,D2,L2,V6,M2} { ! contri( X, Y, U, Z, T, W ), cong( X, Y, Z
% 22.70/23.09 , T ) }.
% 22.70/23.09 (55687) {G0,W13,D2,L3,V5,M3} { ! midp( U, X, Y ), ! midp( U, Z, T ), para
% 22.70/23.09 ( X, Z, Y, T ) }.
% 22.70/23.09 (55688) {G0,W18,D2,L4,V5,M4} { ! midp( Z, T, U ), ! para( T, X, U, Y ), !
% 22.70/23.09 para( T, Y, U, X ), midp( Z, X, Y ) }.
% 22.70/23.09 (55689) {G0,W22,D2,L4,V5,M4} { ! para( X, Y, Z, T ), ! coll( U, X, Z ), !
% 22.70/23.09 coll( U, Y, T ), eqratio( U, X, X, Z, U, Y, Y, T ) }.
% 22.70/23.09 (55690) {G0,W9,D2,L2,V3,M2} { ! para( X, Y, X, Z ), coll( X, Y, Z ) }.
% 22.70/23.09 (55691) {G0,W13,D2,L3,V3,M3} { ! cong( X, Y, X, Z ), ! coll( X, Y, Z ),
% 22.70/23.09 midp( X, Y, Z ) }.
% 22.70/23.09 (55692) {G0,W9,D2,L2,V3,M2} { ! midp( X, Y, Z ), cong( X, Y, X, Z ) }.
% 22.70/23.09 (55693) {G0,W8,D2,L2,V3,M2} { ! midp( X, Y, Z ), coll( X, Y, Z ) }.
% 22.70/23.09 (55694) {G0,W17,D2,L3,V6,M3} { ! midp( U, X, Y ), ! midp( W, Z, T ),
% 22.70/23.09 eqratio( U, X, X, Y, W, Z, Z, T ) }.
% 22.70/23.09 (55695) {G0,W19,D2,L3,V4,M3} { ! eqangle( X, Y, Z, T, Z, T, X, Y ), para(
% 22.70/23.09 X, Y, Z, T ), perp( X, Y, Z, T ) }.
% 22.70/23.09 (55696) {G0,W19,D2,L3,V4,M3} { ! eqangle( X, Y, Z, T, Z, T, X, Y ), perp(
% 22.70/23.09 X, Y, Z, T ), para( X, Y, Z, T ) }.
% 22.70/23.09 (55697) {G0,W19,D2,L3,V8,M3} { ! eqangle( X, Y, Z, T, U, W, V0, V1 ), !
% 22.70/23.09 para( U, W, V0, V1 ), para( X, Y, Z, T ) }.
% 22.70/23.09 (55698) {G0,W19,D2,L3,V8,M3} { ! eqangle( X, Y, Z, T, U, W, V0, V1 ), !
% 22.70/23.09 perp( U, W, V0, V1 ), perp( X, Y, Z, T ) }.
% 22.70/23.09 (55699) {G0,W19,D2,L3,V8,M3} { ! eqratio( X, Y, Z, T, U, W, V0, V1 ), !
% 22.70/23.09 cong( U, W, V0, V1 ), cong( X, Y, Z, T ) }.
% 22.70/23.09 (55700) {G0,W22,D3,L3,V6,M3} { ! perp( Z, Y, Y, X ), ! eqangle( T, Z, Y, Z
% 22.70/23.09 , Y, Z, X, Z ), coll( skol1( U, W, Z, T ), Z, T ) }.
% 22.70/23.09 (55701) {G0,W22,D3,L3,V4,M3} { ! perp( Z, Y, Y, X ), ! eqangle( T, Z, Y, Z
% 22.70/23.09 , Y, Z, X, Z ), coll( skol1( X, Y, Z, T ), X, Y ) }.
% 22.70/23.09 (55702) {G0,W22,D3,L3,V6,M3} { ! cong( Z, X, Z, Y ), ! eqangle( X, Z, Z, T
% 22.70/23.09 , Z, T, Z, Y ), coll( skol2( U, W, Z, T ), Z, T ) }.
% 22.70/23.09 (55703) {G0,W22,D3,L3,V4,M3} { ! cong( Z, X, Z, Y ), ! eqangle( X, Z, Z, T
% 22.70/23.09 , Z, T, Z, Y ), coll( Y, X, skol2( X, Y, Z, T ) ) }.
% 22.70/23.09 (55704) {G0,W22,D3,L3,V6,M3} { ! perp( Z, T, X, Y ), ! eqangle( X, Z, Z, T
% 22.70/23.09 , Z, T, Z, Y ), coll( skol3( U, W, Z, T ), Z, T ) }.
% 22.70/23.09 (55705) {G0,W22,D3,L3,V4,M3} { ! perp( Z, T, X, Y ), ! eqangle( X, Z, Z, T
% 22.70/23.09 , Z, T, Z, Y ), coll( Y, X, skol3( X, Y, Z, T ) ) }.
% 22.70/23.09 (55706) {G0,W18,D3,L3,V6,M3} { ! perp( Z, T, X, Y ), ! cong( Z, X, Z, Y )
% 22.70/23.09 , coll( skol4( U, W, Z, T ), Z, T ) }.
% 22.70/23.09 (55707) {G0,W18,D3,L3,V4,M3} { ! perp( Z, T, X, Y ), ! cong( Z, X, Z, Y )
% 22.70/23.09 , coll( Y, X, skol4( X, Y, Z, T ) ) }.
% 22.70/23.09 (55708) {G0,W22,D3,L3,V6,M3} { ! eqangle( X, Z, Y, Z, X, T, Y, U ), coll(
% 22.70/23.09 X, Y, Z ), cyclic( T, Y, Z, skol5( W, Y, Z, T ) ) }.
% 22.70/23.09 (55709) {G0,W30,D3,L3,V5,M3} { ! eqangle( X, Z, Y, Z, X, T, Y, U ), coll(
% 22.70/23.09 X, Y, Z ), eqangle( X, Z, Y, Z, X, skol5( X, Y, Z, T ), Y, skol5( X, Y, Z
% 22.70/23.09 , T ) ) }.
% 22.70/23.09 (55710) {G0,W18,D3,L3,V10,M3} { ! midp( U, X, Y ), ! midp( W, Z, T ), midp
% 22.70/23.09 ( skol6( X, V0, V1, T, V2, V3 ), X, T ) }.
% 22.70/23.09 (55711) {G0,W19,D3,L3,V8,M3} { ! midp( U, X, Y ), ! midp( W, Z, T ), para
% 22.70/23.09 ( skol6( X, V0, Z, T, V1, W ), W, X, Z ) }.
% 22.70/23.09 (55712) {G0,W19,D3,L3,V6,M3} { ! midp( U, X, Y ), ! midp( W, Z, T ), para
% 22.70/23.09 ( skol6( X, Y, Z, T, U, W ), U, Y, T ) }.
% 22.70/23.09 (55713) {G0,W22,D3,L5,V7,M5} { ! midp( Z, X, Y ), ! midp( W, T, U ), !
% 22.70/23.09 coll( T, X, Y ), ! coll( U, X, Y ), midp( skol7( X, V0 ), X, V0 ) }.
% 22.70/23.09 (55714) {G0,W26,D3,L5,V8,M5} { ! midp( T, X, U ), ! para( X, W, Z, T ), !
% 22.70/23.09 para( X, W, U, Y ), ! coll( W, Y, Z ), coll( skol8( V0, V1, Z, T ), T, Z
% 22.70/23.09 ) }.
% 22.70/23.09 (55715) {G0,W26,D3,L5,V6,M5} { ! midp( T, X, U ), ! para( X, W, Z, T ), !
% 22.70/23.09 para( X, W, U, Y ), ! coll( W, Y, Z ), coll( skol8( X, Y, Z, T ), X, Y )
% 22.70/23.09 }.
% 22.70/23.09 (55716) {G0,W19,D3,L3,V7,M3} { ! cong( T, Z, T, U ), ! perp( X, Y, Y, T )
% 22.70/23.09 , cong( T, Z, T, skol9( W, V0, Z, T ) ) }.
% 22.70/23.09 (55717) {G0,W19,D3,L3,V6,M3} { ! cong( T, Z, T, U ), ! perp( X, Y, Y, T )
% 22.70/23.09 , cong( Y, Z, Y, skol9( W, Y, Z, T ) ) }.
% 22.70/23.09 (55718) {G0,W19,D3,L3,V5,M3} { ! cong( T, Z, T, U ), ! perp( X, Y, Y, T )
% 22.70/23.09 , para( skol9( X, Y, Z, T ), Z, X, Y ) }.
% 22.70/23.09 (55719) {G0,W17,D3,L3,V5,M3} { ! perp( X, T, Y, Z ), ! perp( Y, T, X, Z )
% 22.70/23.09 , coll( skol10( U, Y, Z ), Z, Y ) }.
% 22.70/23.09 (55720) {G0,W18,D3,L3,V4,M3} { ! perp( X, T, Y, Z ), ! perp( Y, T, X, Z )
% 22.70/23.09 , perp( X, skol10( X, Y, Z ), Z, Y ) }.
% 22.70/23.09 (55721) {G0,W14,D2,L3,V4,M3} { ! perp( X, T, Y, Z ), ! perp( Y, T, X, Z )
% 22.70/23.09 , alpha1( X, Y, Z ) }.
% 22.70/23.09 (55722) {G0,W11,D3,L2,V4,M2} { ! alpha1( X, Y, Z ), coll( skol11( X, T, Z
% 22.70/23.09 ), Z, X ) }.
% 22.70/23.09 (55723) {G0,W12,D3,L2,V3,M2} { ! alpha1( X, Y, Z ), perp( Y, skol11( X, Y
% 22.70/23.09 , Z ), Z, X ) }.
% 22.70/23.09 (55724) {G0,W13,D2,L3,V4,M3} { ! coll( T, Z, X ), ! perp( Y, T, Z, X ),
% 22.70/23.09 alpha1( X, Y, Z ) }.
% 22.70/23.09 (55725) {G0,W12,D3,L2,V4,M2} { ! circle( Y, X, Z, T ), perp( skol12( X, Y
% 22.70/23.09 ), X, X, Y ) }.
% 22.70/23.09 (55726) {G0,W28,D3,L5,V8,M5} { ! circle( W, X, Y, Z ), ! cong( W, X, W, T
% 22.70/23.09 ), ! cong( U, X, U, Y ), W = U, alpha2( X, Z, U, skol13( X, V0, Z, V1, U
% 22.70/23.09 ) ) }.
% 22.70/23.09 (55727) {G0,W26,D3,L5,V8,M5} { ! circle( W, X, Y, Z ), ! cong( W, X, W, T
% 22.70/23.09 ), ! cong( U, X, U, Y ), W = U, coll( skol21( V0, Y, T, V1 ), Y, T ) }.
% 22.70/23.09 (55728) {G0,W27,D3,L5,V6,M5} { ! circle( W, X, Y, Z ), ! cong( W, X, W, T
% 22.70/23.09 ), ! cong( U, X, U, Y ), W = U, cong( skol21( X, Y, T, U ), U, U, X )
% 22.70/23.09 }.
% 22.70/23.09 (55729) {G0,W9,D2,L2,V4,M2} { ! alpha2( X, Y, Z, T ), coll( T, X, Y ) }.
% 22.70/23.09 (55730) {G0,W10,D2,L2,V4,M2} { ! alpha2( X, Y, Z, T ), cong( T, Z, Z, X )
% 22.70/23.09 }.
% 22.70/23.09 (55731) {G0,W14,D2,L3,V4,M3} { ! coll( T, X, Y ), ! cong( T, Z, Z, X ),
% 22.70/23.09 alpha2( X, Y, Z, T ) }.
% 22.70/23.09 (55732) {G0,W22,D3,L4,V5,M4} { ! cyclic( X, Y, Z, T ), ! para( X, Y, Z, T
% 22.70/23.09 ), ! midp( U, X, Y ), circle( skol14( X, Y, Z ), X, Y, Z ) }.
% 22.70/23.09 (55733) {G0,W18,D3,L3,V4,M3} { ! perp( X, Z, Z, Y ), ! cyclic( X, Y, Z, T
% 22.70/23.09 ), circle( skol15( X, Y, Z ), X, Y, Z ) }.
% 22.70/23.09 (55734) {G0,W16,D3,L3,V6,M3} { ! perp( X, U, U, T ), ! coll( T, Y, Z ),
% 22.70/23.09 coll( skol16( W, Y, Z ), Y, Z ) }.
% 22.70/23.09 (55735) {G0,W17,D3,L3,V5,M3} { ! perp( X, U, U, T ), ! coll( T, Y, Z ),
% 22.70/23.09 perp( skol16( X, Y, Z ), X, Y, Z ) }.
% 22.70/23.09 (55736) {G0,W20,D3,L4,V5,M4} { ! perp( X, Z, X, Y ), ! perp( Y, X, Y, T )
% 22.70/23.09 , ! midp( U, Z, T ), midp( skol17( X, Y ), X, Y ) }.
% 22.70/23.09 (55737) {G0,W16,D3,L3,V3,M3} { ! cong( Y, X, Y, Z ), ! perp( X, Y, Y, Z )
% 22.70/23.09 , coll( X, Y, skol18( X, Y ) ) }.
% 22.70/23.09 (55738) {G0,W17,D3,L3,V3,M3} { ! cong( Y, X, Y, Z ), ! perp( X, Y, Y, Z )
% 22.70/23.09 , cong( Y, X, Y, skol18( X, Y ) ) }.
% 22.70/23.09 (55739) {G0,W25,D3,L5,V8,M5} { ! para( U, W, X, Y ), ! coll( Z, U, X ), !
% 22.70/23.09 coll( Z, W, Y ), ! coll( T, U, W ), coll( Z, T, skol19( V0, V1, Z, T ) )
% 22.70/23.09 }.
% 22.70/23.09 (55740) {G0,W25,D3,L5,V6,M5} { ! para( U, W, X, Y ), ! coll( Z, U, X ), !
% 22.70/23.09 coll( Z, W, Y ), ! coll( T, U, W ), coll( skol19( X, Y, Z, T ), X, Y )
% 22.70/23.09 }.
% 22.70/23.09 (55741) {G0,W9,D2,L1,V0,M1} { eqangle( skol22, skol25, skol25, skol26,
% 22.70/23.09 skol22, skol25, skol25, skol20 ) }.
% 22.70/23.09 (55742) {G0,W9,D2,L1,V0,M1} { eqangle( skol22, skol26, skol26, skol20,
% 22.70/23.09 skol22, skol26, skol26, skol25 ) }.
% 22.70/23.09 (55743) {G0,W9,D2,L1,V0,M1} { eqangle( skol22, skol20, skol20, skol25,
% 22.70/23.09 skol22, skol20, skol20, skol26 ) }.
% 22.70/23.09 (55744) {G0,W4,D2,L1,V0,M1} { midpoint( skol27, skol26, skol22 ) }.
% 22.70/23.09 (55745) {G0,W5,D2,L1,V0,M1} { perp( skol26, skol22, skol27, skol28 ) }.
% 22.70/23.09 (55746) {G0,W5,D2,L1,V0,M1} { perp( skol25, skol26, skol26, skol28 ) }.
% 22.70/23.09 (55747) {G0,W5,D2,L1,V0,M1} { circle( skol28, skol26, skol29, skol30 ) }.
% 22.70/23.09 (55748) {G0,W4,D2,L1,V0,M1} { coll( skol23, skol25, skol20 ) }.
% 22.70/23.09 (55749) {G0,W5,D2,L1,V0,M1} { circle( skol28, skol26, skol23, skol31 ) }.
% 22.70/23.09 (55750) {G0,W5,D2,L1,V0,M1} { circle( skol28, skol23, skol24, skol32 ) }.
% 22.70/23.09 (55751) {G0,W4,D2,L1,V0,M1} { coll( skol24, skol23, skol25 ) }.
% 22.70/23.09 (55752) {G0,W9,D2,L1,V0,M1} { ! eqangle( skol23, skol22, skol22, skol20,
% 22.70/23.09 skol20, skol22, skol22, skol24 ) }.
% 22.70/23.09
% 22.70/23.09
% 22.70/23.09 Total Proof:
% 22.70/23.09
% 22.70/23.09 subsumption: (0) {G0,W8,D2,L2,V3,M2} I { ! coll( X, Y, Z ), coll( X, Z, Y )
% 22.70/23.09 }.
% 22.70/23.09 parent0: (55624) {G0,W8,D2,L2,V3,M2} { ! coll( X, Y, Z ), coll( X, Z, Y )
% 22.70/23.09 }.
% 22.70/23.09 substitution0:
% 22.70/23.09 X := X
% 22.70/23.09 Y := Y
% 22.70/23.09 Z := Z
% 22.70/23.09 end
% 22.70/23.09 permutation0:
% 22.70/23.09 0 ==> 0
% 22.70/23.09 1 ==> 1
% 22.70/23.09 end
% 22.70/23.09
% 22.70/23.09 subsumption: (2) {G0,W12,D2,L3,V4,M3} I { ! coll( X, T, Y ), ! coll( X, T,
% 22.70/23.09 Z ), coll( Y, Z, X ) }.
% 22.70/23.09 parent0: (55626) {G0,W12,D2,L3,V4,M3} { ! coll( X, T, Y ), ! coll( X, T, Z
% 22.70/23.09 ), coll( Y, Z, X ) }.
% 22.70/23.09 substitution0:
% 22.70/23.09 X := X
% 22.70/23.09 Y := Y
% 22.70/23.09 Z := Z
% 22.70/23.09 T := T
% 22.70/23.09 end
% 22.70/23.09 permutation0:
% 22.70/23.09 0 ==> 0
% 22.70/23.09 1 ==> 1
% 22.70/23.09 2 ==> 2
% 22.70/23.09 end
% 22.70/23.09
% 22.70/23.09 subsumption: (3) {G0,W10,D2,L2,V4,M2} I { ! para( X, Y, Z, T ), para( X, Y
% 22.70/23.09 , T, Z ) }.
% 22.70/23.09 parent0: (55627) {G0,W10,D2,L2,V4,M2} { ! para( X, Y, Z, T ), para( X, Y,
% 22.70/23.09 T, Z ) }.
% 22.70/23.09 substitution0:
% 22.70/23.09 X := X
% 22.70/23.09 Y := Y
% 22.70/23.09 Z := Z
% 22.70/23.09 T := T
% 22.70/23.09 end
% 22.70/23.09 permutation0:
% 22.70/23.09 0 ==> 0
% 22.70/23.09 1 ==> 1
% 22.70/23.09 end
% 22.70/23.09
% 22.70/23.09 subsumption: (4) {G0,W10,D2,L2,V4,M2} I { ! para( X, Y, Z, T ), para( Z, T
% 22.70/23.09 , X, Y ) }.
% 22.70/23.09 parent0: (55628) {G0,W10,D2,L2,V4,M2} { ! para( X, Y, Z, T ), para( Z, T,
% 22.70/23.09 X, Y ) }.
% 22.70/23.09 substitution0:
% 22.70/23.09 X := X
% 22.70/23.09 Y := Y
% 22.70/23.09 Z := Z
% 22.70/23.09 T := T
% 22.70/23.09 end
% 22.70/23.09 permutation0:
% 22.70/23.09 0 ==> 0
% 22.70/23.09 1 ==> 1
% 22.70/23.09 end
% 22.70/23.09
% 22.70/23.09 subsumption: (5) {G0,W15,D2,L3,V6,M3} I { ! para( X, Y, U, W ), ! para( U,
% 22.70/23.09 W, Z, T ), para( X, Y, Z, T ) }.
% 22.70/23.09 parent0: (55629) {G0,W15,D2,L3,V6,M3} { ! para( X, Y, U, W ), ! para( U, W
% 22.70/23.09 , Z, T ), para( X, Y, Z, T ) }.
% 22.70/23.09 substitution0:
% 22.70/23.09 X := X
% 22.70/23.09 Y := Y
% 22.70/23.09 Z := Z
% 22.70/23.09 T := T
% 22.70/23.09 U := U
% 22.70/23.09 W := W
% 22.70/23.09 end
% 22.70/23.09 permutation0:
% 22.70/23.09 0 ==> 0
% 22.70/23.09 1 ==> 1
% 22.70/23.09 2 ==> 2
% 22.70/23.09 end
% 22.70/23.09
% 22.70/23.09 subsumption: (6) {G0,W10,D2,L2,V4,M2} I { ! perp( X, Y, Z, T ), perp( X, Y
% 22.70/23.09 , T, Z ) }.
% 22.70/23.09 parent0: (55630) {G0,W10,D2,L2,V4,M2} { ! perp( X, Y, Z, T ), perp( X, Y,
% 22.70/23.09 T, Z ) }.
% 22.70/23.09 substitution0:
% 22.70/23.09 X := X
% 22.70/23.09 Y := Y
% 22.70/23.09 Z := Z
% 22.70/23.09 T := T
% 22.70/23.09 end
% 22.70/23.09 permutation0:
% 22.70/23.09 0 ==> 0
% 22.70/23.09 1 ==> 1
% 22.70/23.09 end
% 22.70/23.09
% 22.70/23.09 subsumption: (7) {G0,W10,D2,L2,V4,M2} I { ! perp( X, Y, Z, T ), perp( Z, T
% 22.70/23.09 , X, Y ) }.
% 22.70/23.09 parent0: (55631) {G0,W10,D2,L2,V4,M2} { ! perp( X, Y, Z, T ), perp( Z, T,
% 22.70/23.09 X, Y ) }.
% 22.70/23.09 substitution0:
% 22.70/23.09 X := X
% 22.70/23.09 Y := Y
% 22.70/23.09 Z := Z
% 22.70/23.09 T := T
% 22.70/23.09 end
% 22.70/23.09 permutation0:
% 22.70/23.09 0 ==> 0
% 22.70/23.09 1 ==> 1
% 22.70/23.09 end
% 22.70/23.09
% 22.70/23.09 subsumption: (8) {G0,W15,D2,L3,V6,M3} I { ! perp( X, Y, U, W ), ! perp( U,
% 22.70/23.09 W, Z, T ), para( X, Y, Z, T ) }.
% 22.70/23.09 parent0: (55632) {G0,W15,D2,L3,V6,M3} { ! perp( X, Y, U, W ), ! perp( U, W
% 22.70/23.09 , Z, T ), para( X, Y, Z, T ) }.
% 22.70/23.09 substitution0:
% 22.70/23.09 X := X
% 22.70/23.09 Y := Y
% 22.70/23.09 Z := Z
% 22.70/23.09 T := T
% 22.70/23.09 U := U
% 22.70/23.09 W := W
% 22.70/23.09 end
% 22.70/23.09 permutation0:
% 22.70/23.09 0 ==> 0
% 22.70/23.09 1 ==> 1
% 22.70/23.09 2 ==> 2
% 22.70/23.09 end
% 22.70/23.09
% 22.70/23.09 subsumption: (13) {G0,W10,D2,L2,V4,M2} I { ! cyclic( X, Y, Z, T ), cyclic(
% 22.70/23.09 X, Y, T, Z ) }.
% 22.70/23.09 parent0: (55637) {G0,W10,D2,L2,V4,M2} { ! cyclic( X, Y, Z, T ), cyclic( X
% 22.70/23.09 , Y, T, Z ) }.
% 22.70/23.09 substitution0:
% 22.70/23.09 X := X
% 22.70/23.09 Y := Y
% 22.70/23.09 Z := Z
% 22.70/23.09 T := T
% 22.70/23.09 end
% 22.70/23.09 permutation0:
% 22.70/23.09 0 ==> 0
% 22.70/23.09 1 ==> 1
% 22.70/23.09 end
% 22.70/23.09
% 22.70/23.09 subsumption: (14) {G0,W10,D2,L2,V4,M2} I { ! cyclic( X, Y, Z, T ), cyclic(
% 22.70/23.09 X, Z, Y, T ) }.
% 22.70/23.09 parent0: (55638) {G0,W10,D2,L2,V4,M2} { ! cyclic( X, Y, Z, T ), cyclic( X
% 22.70/23.09 , Z, Y, T ) }.
% 22.70/23.09 substitution0:
% 22.70/23.09 X := X
% 22.70/23.09 Y := Y
% 22.70/23.09 Z := Z
% 22.70/23.09 T := T
% 22.70/23.09 end
% 22.70/23.09 permutation0:
% 22.70/23.09 0 ==> 0
% 22.70/23.09 1 ==> 1
% 22.70/23.09 end
% 22.70/23.09
% 22.70/23.09 subsumption: (15) {G0,W10,D2,L2,V4,M2} I { ! cyclic( X, Y, Z, T ), cyclic(
% 22.70/23.09 Y, X, Z, T ) }.
% 22.70/23.09 parent0: (55639) {G0,W10,D2,L2,V4,M2} { ! cyclic( X, Y, Z, T ), cyclic( Y
% 22.70/23.09 , X, Z, T ) }.
% 22.70/23.09 substitution0:
% 22.70/23.09 X := X
% 22.70/23.09 Y := Y
% 22.70/23.09 Z := Z
% 22.70/23.09 T := T
% 22.70/23.09 end
% 22.70/23.09 permutation0:
% 22.70/23.09 0 ==> 0
% 22.70/23.09 1 ==> 1
% 22.70/23.09 end
% 22.70/23.09
% 22.70/23.09 subsumption: (16) {G0,W15,D2,L3,V5,M3} I { ! cyclic( U, X, Y, Z ), ! cyclic
% 22.70/23.09 ( U, X, Y, T ), cyclic( X, Y, Z, T ) }.
% 22.70/23.09 parent0: (55640) {G0,W15,D2,L3,V5,M3} { ! cyclic( U, X, Y, Z ), ! cyclic(
% 22.70/23.09 U, X, Y, T ), cyclic( X, Y, Z, T ) }.
% 22.70/23.10 substitution0:
% 22.70/23.10 X := X
% 22.70/23.10 Y := Y
% 22.70/23.10 Z := Z
% 22.70/23.10 T := T
% 22.70/23.10 U := U
% 22.70/23.10 end
% 22.70/23.10 permutation0:
% 22.70/23.10 0 ==> 0
% 22.70/23.10 1 ==> 1
% 22.70/23.10 2 ==> 2
% 22.70/23.10 end
% 22.70/23.10
% 22.70/23.10 subsumption: (18) {G0,W18,D2,L2,V8,M2} I { ! eqangle( X, Y, Z, T, U, W, V0
% 22.70/23.10 , V1 ), eqangle( Z, T, X, Y, V0, V1, U, W ) }.
% 22.70/23.10 parent0: (55642) {G0,W18,D2,L2,V8,M2} { ! eqangle( X, Y, Z, T, U, W, V0,
% 22.70/23.10 V1 ), eqangle( Z, T, X, Y, V0, V1, U, W ) }.
% 22.70/23.10 substitution0:
% 22.70/23.10 X := X
% 22.70/23.10 Y := Y
% 22.70/23.10 Z := Z
% 22.70/23.10 T := T
% 22.70/23.10 U := U
% 22.70/23.10 W := W
% 22.70/23.10 V0 := V0
% 22.70/23.10 V1 := V1
% 22.70/23.10 end
% 22.70/23.10 permutation0:
% 22.70/23.10 0 ==> 0
% 22.70/23.10 1 ==> 1
% 22.70/23.10 end
% 22.70/23.10
% 22.70/23.10 subsumption: (19) {G0,W18,D2,L2,V8,M2} I { ! eqangle( X, Y, Z, T, U, W, V0
% 22.70/23.10 , V1 ), eqangle( U, W, V0, V1, X, Y, Z, T ) }.
% 22.70/23.10 parent0: (55643) {G0,W18,D2,L2,V8,M2} { ! eqangle( X, Y, Z, T, U, W, V0,
% 22.70/23.10 V1 ), eqangle( U, W, V0, V1, X, Y, Z, T ) }.
% 22.70/23.10 substitution0:
% 22.70/23.10 X := X
% 22.70/23.10 Y := Y
% 22.70/23.10 Z := Z
% 22.70/23.10 T := T
% 22.70/23.10 U := U
% 22.70/23.10 W := W
% 22.70/23.10 V0 := V0
% 22.70/23.10 V1 := V1
% 22.70/23.10 end
% 22.70/23.10 permutation0:
% 22.70/23.10 0 ==> 0
% 22.70/23.10 1 ==> 1
% 22.70/23.10 end
% 22.70/23.10
% 22.70/23.10 subsumption: (20) {G0,W18,D2,L2,V8,M2} I { ! eqangle( X, Y, Z, T, U, W, V0
% 22.70/23.10 , V1 ), eqangle( X, Y, U, W, Z, T, V0, V1 ) }.
% 22.70/23.10 parent0: (55644) {G0,W18,D2,L2,V8,M2} { ! eqangle( X, Y, Z, T, U, W, V0,
% 22.70/23.10 V1 ), eqangle( X, Y, U, W, Z, T, V0, V1 ) }.
% 22.70/23.10 substitution0:
% 22.70/23.10 X := X
% 22.70/23.10 Y := Y
% 22.70/23.10 Z := Z
% 22.70/23.10 T := T
% 22.70/23.10 U := U
% 22.70/23.10 W := W
% 22.70/23.10 V0 := V0
% 22.70/23.10 V1 := V1
% 22.70/23.10 end
% 22.70/23.10 permutation0:
% 22.70/23.10 0 ==> 0
% 22.70/23.10 1 ==> 1
% 22.70/23.10 end
% 22.70/23.10
% 22.70/23.10 subsumption: (21) {G0,W27,D2,L3,V12,M3} I { ! eqangle( X, Y, Z, T, V2, V3,
% 22.70/23.10 V4, V5 ), ! eqangle( V2, V3, V4, V5, U, W, V0, V1 ), eqangle( X, Y, Z, T
% 22.70/23.10 , U, W, V0, V1 ) }.
% 22.70/23.10 parent0: (55645) {G0,W27,D2,L3,V12,M3} { ! eqangle( X, Y, Z, T, V2, V3, V4
% 22.70/23.10 , V5 ), ! eqangle( V2, V3, V4, V5, U, W, V0, V1 ), eqangle( X, Y, Z, T, U
% 22.70/23.10 , W, V0, V1 ) }.
% 22.70/23.10 substitution0:
% 22.70/23.10 X := X
% 22.70/23.10 Y := Y
% 22.70/23.10 Z := Z
% 22.70/23.10 T := T
% 22.70/23.10 U := U
% 22.70/23.10 W := W
% 22.70/23.10 V0 := V0
% 22.70/23.10 V1 := V1
% 22.70/23.10 V2 := V2
% 22.70/23.10 V3 := V3
% 22.70/23.10 V4 := V4
% 22.70/23.10 V5 := V5
% 22.70/23.10 end
% 22.70/23.10 permutation0:
% 22.70/23.10 0 ==> 0
% 22.70/23.10 1 ==> 1
% 22.70/23.10 2 ==> 2
% 22.70/23.10 end
% 22.70/23.10
% 22.70/23.10 subsumption: (39) {G0,W14,D2,L2,V6,M2} I { ! para( X, Y, Z, T ), eqangle( X
% 22.70/23.10 , Y, U, W, Z, T, U, W ) }.
% 22.70/23.10 parent0: (55663) {G0,W14,D2,L2,V6,M2} { ! para( X, Y, Z, T ), eqangle( X,
% 22.70/23.10 Y, U, W, Z, T, U, W ) }.
% 22.70/23.10 substitution0:
% 22.70/23.10 X := X
% 22.70/23.10 Y := Y
% 22.70/23.10 Z := Z
% 22.70/23.10 T := T
% 22.70/23.10 U := U
% 22.70/23.10 W := W
% 22.70/23.10 end
% 22.70/23.10 permutation0:
% 22.70/23.10 0 ==> 0
% 22.70/23.10 1 ==> 1
% 22.70/23.10 end
% 22.70/23.10
% 22.70/23.10 subsumption: (40) {G0,W14,D2,L2,V4,M2} I { ! cyclic( X, Y, Z, T ), eqangle
% 22.70/23.10 ( Z, X, Z, Y, T, X, T, Y ) }.
% 22.70/23.10 parent0: (55664) {G0,W14,D2,L2,V4,M2} { ! cyclic( X, Y, Z, T ), eqangle( Z
% 22.70/23.10 , X, Z, Y, T, X, T, Y ) }.
% 22.70/23.10 substitution0:
% 22.70/23.10 X := X
% 22.70/23.10 Y := Y
% 22.70/23.10 Z := Z
% 22.70/23.10 T := T
% 22.70/23.10 end
% 22.70/23.10 permutation0:
% 22.70/23.10 0 ==> 0
% 22.70/23.10 1 ==> 1
% 22.70/23.10 end
% 22.70/23.10
% 22.70/23.10 subsumption: (42) {G0,W18,D2,L3,V4,M3} I { ! eqangle( Z, X, Z, Y, T, X, T,
% 22.70/23.10 Y ), ! coll( Z, T, Y ), cyclic( X, Y, Z, T ) }.
% 22.70/23.10 parent0: (55666) {G0,W18,D2,L3,V4,M3} { ! eqangle( Z, X, Z, Y, T, X, T, Y
% 22.70/23.10 ), ! coll( Z, T, Y ), cyclic( X, Y, Z, T ) }.
% 22.70/23.10 substitution0:
% 22.70/23.10 X := X
% 22.70/23.10 Y := Y
% 22.70/23.10 Z := Z
% 22.70/23.10 T := T
% 22.70/23.10 end
% 22.70/23.10 permutation0:
% 22.70/23.10 0 ==> 0
% 22.70/23.10 1 ==> 1
% 22.70/23.10 2 ==> 2
% 22.70/23.10 end
% 22.70/23.10
% 22.70/23.10 subsumption: (43) {G0,W29,D2,L5,V6,M5} I { ! cyclic( X, Y, U, Z ), ! cyclic
% 22.70/23.10 ( X, Y, U, T ), ! cyclic( X, Y, U, W ), ! eqangle( U, X, U, Y, W, Z, W, T
% 22.70/23.10 ), cong( X, Y, Z, T ) }.
% 22.70/23.10 parent0: (55667) {G0,W29,D2,L5,V6,M5} { ! cyclic( X, Y, U, Z ), ! cyclic(
% 22.70/23.10 X, Y, U, T ), ! cyclic( X, Y, U, W ), ! eqangle( U, X, U, Y, W, Z, W, T )
% 22.70/23.10 , cong( X, Y, Z, T ) }.
% 22.70/23.10 substitution0:
% 22.70/23.10 X := X
% 22.70/23.10 Y := Y
% 22.70/23.10 Z := Z
% 22.70/23.10 T := T
% 22.70/23.10 U := U
% 22.70/23.10 W := W
% 22.70/23.10 end
% 22.70/23.10 permutation0:
% 22.70/23.10 0 ==> 0
% 22.70/23.10 1 ==> 1
% 22.70/23.10 2 ==> 2
% 22.70/23.10 3 ==> 3
% 22.70/23.10 4 ==> 4
% 22.70/23.10 end
% 22.70/23.10
% 22.70/23.10 subsumption: (56) {G0,W15,D2,L3,V4,M3} I { ! cong( X, Z, Y, Z ), ! cong( X
% 22.70/23.10 , T, Y, T ), perp( X, Y, Z, T ) }.
% 22.70/23.10 parent0: (55680) {G0,W15,D2,L3,V4,M3} { ! cong( X, Z, Y, Z ), ! cong( X, T
% 22.70/23.10 , Y, T ), perp( X, Y, Z, T ) }.
% 22.70/23.10 substitution0:
% 22.70/23.10 X := X
% 22.70/23.10 Y := Y
% 22.70/23.10 Z := Z
% 22.70/23.10 T := T
% 22.70/23.10 end
% 22.70/23.10 permutation0:
% 22.70/23.10 0 ==> 0
% 22.70/23.10 1 ==> 1
% 22.70/23.10 2 ==> 2
% 22.70/23.10 end
% 22.70/23.10
% 22.70/23.10 subsumption: (66) {G0,W9,D2,L2,V3,M2} I { ! para( X, Y, X, Z ), coll( X, Y
% 22.70/23.10 , Z ) }.
% 22.70/23.10 parent0: (55690) {G0,W9,D2,L2,V3,M2} { ! para( X, Y, X, Z ), coll( X, Y, Z
% 22.70/23.10 ) }.
% 22.70/23.10 substitution0:
% 22.70/23.10 X := X
% 22.70/23.10 Y := Y
% 22.70/23.10 Z := Z
% 22.70/23.10 end
% 22.70/23.10 permutation0:
% 22.70/23.10 0 ==> 0
% 22.70/23.10 1 ==> 1
% 22.70/23.10 end
% 22.70/23.10
% 22.70/23.10 subsumption: (120) {G0,W5,D2,L1,V0,M1} I { perp( skol26, skol22, skol27,
% 22.70/23.10 skol28 ) }.
% 22.70/23.10 parent0: (55745) {G0,W5,D2,L1,V0,M1} { perp( skol26, skol22, skol27,
% 22.70/23.10 skol28 ) }.
% 22.70/23.10 substitution0:
% 22.70/23.10 end
% 22.70/23.10 permutation0:
% 22.70/23.10 0 ==> 0
% 22.70/23.10 end
% 22.70/23.10
% 22.70/23.10 subsumption: (127) {G0,W9,D2,L1,V0,M1} I { ! eqangle( skol23, skol22,
% 22.70/23.10 skol22, skol20, skol20, skol22, skol22, skol24 ) }.
% 22.70/23.10 parent0: (55752) {G0,W9,D2,L1,V0,M1} { ! eqangle( skol23, skol22, skol22,
% 22.70/23.10 skol20, skol20, skol22, skol22, skol24 ) }.
% 22.70/23.10 substitution0:
% 22.70/23.10 end
% 22.70/23.10 permutation0:
% 22.70/23.10 0 ==> 0
% 22.70/23.10 end
% 22.70/23.10
% 22.70/23.10 resolution: (56047) {G1,W12,D2,L3,V4,M3} { coll( X, Z, Y ), ! coll( Z, T,
% 22.70/23.10 X ), ! coll( Z, T, Y ) }.
% 22.70/23.10 parent0[0]: (0) {G0,W8,D2,L2,V3,M2} I { ! coll( X, Y, Z ), coll( X, Z, Y )
% 22.70/23.10 }.
% 22.70/23.10 parent1[2]: (2) {G0,W12,D2,L3,V4,M3} I { ! coll( X, T, Y ), ! coll( X, T, Z
% 22.70/23.10 ), coll( Y, Z, X ) }.
% 22.70/23.10 substitution0:
% 22.70/23.10 X := X
% 22.70/23.10 Y := Y
% 22.70/23.10 Z := Z
% 22.70/23.10 end
% 22.70/23.10 substitution1:
% 22.70/23.10 X := Z
% 22.70/23.10 Y := X
% 22.70/23.10 Z := Y
% 22.70/23.10 T := T
% 22.70/23.10 end
% 22.70/23.10
% 22.70/23.10 subsumption: (194) {G1,W12,D2,L3,V4,M3} R(2,0) { ! coll( X, Y, Z ), ! coll
% 22.70/23.10 ( X, Y, T ), coll( Z, X, T ) }.
% 22.70/23.10 parent0: (56047) {G1,W12,D2,L3,V4,M3} { coll( X, Z, Y ), ! coll( Z, T, X )
% 22.70/23.10 , ! coll( Z, T, Y ) }.
% 22.70/23.10 substitution0:
% 22.70/23.10 X := Z
% 22.70/23.10 Y := T
% 22.70/23.10 Z := X
% 22.70/23.10 T := Y
% 22.70/23.10 end
% 22.70/23.10 permutation0:
% 22.70/23.10 0 ==> 2
% 22.70/23.10 1 ==> 0
% 22.70/23.10 2 ==> 1
% 22.70/23.10 end
% 22.70/23.10
% 22.70/23.10 factor: (56049) {G1,W8,D2,L2,V3,M2} { ! coll( X, Y, Z ), coll( Z, X, Z )
% 22.70/23.10 }.
% 22.70/23.10 parent0[0, 1]: (194) {G1,W12,D2,L3,V4,M3} R(2,0) { ! coll( X, Y, Z ), !
% 22.70/23.10 coll( X, Y, T ), coll( Z, X, T ) }.
% 22.70/23.10 substitution0:
% 22.70/23.10 X := X
% 22.70/23.10 Y := Y
% 22.70/23.10 Z := Z
% 22.70/23.10 T := Z
% 22.70/23.10 end
% 22.70/23.10
% 22.70/23.10 subsumption: (199) {G2,W8,D2,L2,V3,M2} F(194) { ! coll( X, Y, Z ), coll( Z
% 22.70/23.10 , X, Z ) }.
% 22.70/23.10 parent0: (56049) {G1,W8,D2,L2,V3,M2} { ! coll( X, Y, Z ), coll( Z, X, Z )
% 22.70/23.10 }.
% 22.70/23.10 substitution0:
% 22.70/23.10 X := X
% 22.70/23.10 Y := Y
% 22.70/23.10 Z := Z
% 22.70/23.10 end
% 22.70/23.10 permutation0:
% 22.70/23.10 0 ==> 0
% 22.70/23.10 1 ==> 1
% 22.70/23.10 end
% 22.70/23.10
% 22.70/23.10 resolution: (56050) {G1,W12,D2,L3,V4,M3} { coll( Z, X, Z ), ! coll( Z, T,
% 22.70/23.10 X ), ! coll( Z, T, Y ) }.
% 22.70/23.10 parent0[0]: (199) {G2,W8,D2,L2,V3,M2} F(194) { ! coll( X, Y, Z ), coll( Z,
% 22.70/23.10 X, Z ) }.
% 22.70/23.10 parent1[2]: (2) {G0,W12,D2,L3,V4,M3} I { ! coll( X, T, Y ), ! coll( X, T, Z
% 22.70/23.10 ), coll( Y, Z, X ) }.
% 22.70/23.10 substitution0:
% 22.70/23.10 X := X
% 22.70/23.10 Y := Y
% 22.70/23.10 Z := Z
% 22.70/23.10 end
% 22.70/23.10 substitution1:
% 22.70/23.10 X := Z
% 22.70/23.10 Y := X
% 22.70/23.10 Z := Y
% 22.70/23.10 T := T
% 22.70/23.10 end
% 22.70/23.10
% 22.70/23.10 subsumption: (216) {G3,W12,D2,L3,V4,M3} R(199,2) { coll( X, Y, X ), ! coll
% 22.70/23.10 ( X, Z, Y ), ! coll( X, Z, T ) }.
% 22.70/23.10 parent0: (56050) {G1,W12,D2,L3,V4,M3} { coll( Z, X, Z ), ! coll( Z, T, X )
% 22.70/23.10 , ! coll( Z, T, Y ) }.
% 22.70/23.10 substitution0:
% 22.70/23.10 X := Y
% 22.70/23.10 Y := Y
% 22.70/23.10 Z := X
% 22.70/23.10 T := Z
% 22.70/23.10 end
% 22.70/23.10 permutation0:
% 22.70/23.10 0 ==> 0
% 22.70/23.10 1 ==> 1
% 22.70/23.10 2 ==> 1
% 22.70/23.10 end
% 22.70/23.10
% 22.70/23.10 factor: (56052) {G3,W8,D2,L2,V3,M2} { coll( X, Y, X ), ! coll( X, Z, Y )
% 22.70/23.10 }.
% 22.70/23.10 parent0[1, 2]: (216) {G3,W12,D2,L3,V4,M3} R(199,2) { coll( X, Y, X ), !
% 22.70/23.10 coll( X, Z, Y ), ! coll( X, Z, T ) }.
% 22.70/23.10 substitution0:
% 22.70/23.10 X := X
% 22.70/23.10 Y := Y
% 22.70/23.10 Z := Z
% 22.70/23.10 T := Y
% 22.70/23.10 end
% 22.70/23.10
% 22.70/23.10 subsumption: (227) {G4,W8,D2,L2,V3,M2} F(216) { coll( X, Y, X ), ! coll( X
% 22.70/23.10 , Z, Y ) }.
% 22.70/23.10 parent0: (56052) {G3,W8,D2,L2,V3,M2} { coll( X, Y, X ), ! coll( X, Z, Y )
% 22.70/23.10 }.
% 22.70/23.10 substitution0:
% 22.70/23.10 X := X
% 22.70/23.10 Y := Y
% 22.70/23.10 Z := Z
% 22.70/23.10 end
% 22.70/23.10 permutation0:
% 22.70/23.10 0 ==> 0
% 22.70/23.10 1 ==> 1
% 22.70/23.10 end
% 22.70/23.10
% 22.70/23.10 resolution: (56054) {G1,W15,D2,L3,V6,M3} { ! para( X, Y, Z, T ), para( X,
% 22.70/23.10 Y, U, W ), ! para( U, W, Z, T ) }.
% 22.70/23.10 parent0[1]: (5) {G0,W15,D2,L3,V6,M3} I { ! para( X, Y, U, W ), ! para( U, W
% 22.70/23.10 , Z, T ), para( X, Y, Z, T ) }.
% 22.70/23.10 parent1[1]: (4) {G0,W10,D2,L2,V4,M2} I { ! para( X, Y, Z, T ), para( Z, T,
% 22.70/23.10 X, Y ) }.
% 22.70/23.10 substitution0:
% 22.70/23.10 X := X
% 22.70/23.10 Y := Y
% 22.70/23.10 Z := U
% 22.70/23.10 T := W
% 22.70/23.10 U := Z
% 22.70/23.10 W := T
% 22.70/23.10 end
% 22.70/23.10 substitution1:
% 22.70/23.10 X := U
% 22.70/23.10 Y := W
% 22.70/23.10 Z := Z
% 22.70/23.10 T := T
% 22.70/23.10 end
% 22.70/23.10
% 22.70/23.10 subsumption: (243) {G1,W15,D2,L3,V6,M3} R(5,4) { ! para( X, Y, Z, T ), para
% 22.70/23.10 ( X, Y, U, W ), ! para( U, W, Z, T ) }.
% 22.70/23.10 parent0: (56054) {G1,W15,D2,L3,V6,M3} { ! para( X, Y, Z, T ), para( X, Y,
% 22.70/23.10 U, W ), ! para( U, W, Z, T ) }.
% 22.70/23.10 substitution0:
% 22.70/23.10 X := X
% 22.70/23.10 Y := Y
% 22.70/23.10 Z := Z
% 22.70/23.10 T := T
% 22.70/23.10 U := U
% 22.70/23.10 W := W
% 22.70/23.10 end
% 22.70/23.10 permutation0:
% 22.70/23.10 0 ==> 0
% 22.70/23.10 1 ==> 1
% 22.70/23.10 2 ==> 2
% 22.70/23.10 end
% 22.70/23.10
% 22.70/23.10 factor: (56057) {G1,W10,D2,L2,V4,M2} { ! para( X, Y, Z, T ), para( X, Y, X
% 22.70/23.10 , Y ) }.
% 22.70/23.10 parent0[0, 2]: (243) {G1,W15,D2,L3,V6,M3} R(5,4) { ! para( X, Y, Z, T ),
% 22.70/23.10 para( X, Y, U, W ), ! para( U, W, Z, T ) }.
% 22.70/23.10 substitution0:
% 22.70/23.10 X := X
% 22.70/23.10 Y := Y
% 22.70/23.10 Z := Z
% 22.70/23.10 T := T
% 22.70/23.10 U := X
% 22.70/23.10 W := Y
% 22.70/23.10 end
% 22.70/23.10
% 22.70/23.10 subsumption: (247) {G2,W10,D2,L2,V4,M2} F(243) { ! para( X, Y, Z, T ), para
% 22.70/23.10 ( X, Y, X, Y ) }.
% 22.70/23.10 parent0: (56057) {G1,W10,D2,L2,V4,M2} { ! para( X, Y, Z, T ), para( X, Y,
% 22.70/23.10 X, Y ) }.
% 22.70/23.10 substitution0:
% 22.70/23.10 X := X
% 22.70/23.10 Y := Y
% 22.70/23.10 Z := Z
% 22.70/23.10 T := T
% 22.70/23.10 end
% 22.70/23.10 permutation0:
% 22.70/23.10 0 ==> 0
% 22.70/23.10 1 ==> 1
% 22.70/23.10 end
% 22.70/23.10
% 22.70/23.10 resolution: (56058) {G1,W5,D2,L1,V0,M1} { perp( skol27, skol28, skol26,
% 22.70/23.10 skol22 ) }.
% 22.70/23.10 parent0[0]: (7) {G0,W10,D2,L2,V4,M2} I { ! perp( X, Y, Z, T ), perp( Z, T,
% 22.70/23.10 X, Y ) }.
% 22.70/23.10 parent1[0]: (120) {G0,W5,D2,L1,V0,M1} I { perp( skol26, skol22, skol27,
% 22.70/23.10 skol28 ) }.
% 22.70/23.10 substitution0:
% 22.70/23.10 X := skol26
% 22.70/23.10 Y := skol22
% 22.70/23.10 Z := skol27
% 22.70/23.10 T := skol28
% 22.70/23.10 end
% 22.70/23.10 substitution1:
% 22.70/23.10 end
% 22.70/23.10
% 22.70/23.10 subsumption: (267) {G1,W5,D2,L1,V0,M1} R(7,120) { perp( skol27, skol28,
% 22.70/23.10 skol26, skol22 ) }.
% 22.70/23.10 parent0: (56058) {G1,W5,D2,L1,V0,M1} { perp( skol27, skol28, skol26,
% 22.70/23.10 skol22 ) }.
% 22.70/23.10 substitution0:
% 22.70/23.10 end
% 22.70/23.10 permutation0:
% 22.70/23.10 0 ==> 0
% 22.70/23.10 end
% 22.70/23.10
% 22.70/23.10 resolution: (56059) {G1,W15,D2,L3,V6,M3} { ! perp( Z, T, U, W ), para( X,
% 22.70/23.10 Y, U, W ), ! perp( Z, T, X, Y ) }.
% 22.70/23.10 parent0[0]: (8) {G0,W15,D2,L3,V6,M3} I { ! perp( X, Y, U, W ), ! perp( U, W
% 22.70/23.10 , Z, T ), para( X, Y, Z, T ) }.
% 22.70/23.10 parent1[1]: (7) {G0,W10,D2,L2,V4,M2} I { ! perp( X, Y, Z, T ), perp( Z, T,
% 22.70/23.10 X, Y ) }.
% 22.70/23.10 substitution0:
% 22.70/23.10 X := X
% 22.70/23.10 Y := Y
% 22.70/23.10 Z := U
% 22.70/23.10 T := W
% 22.70/23.10 U := Z
% 22.70/23.10 W := T
% 22.70/23.10 end
% 22.70/23.10 substitution1:
% 22.70/23.10 X := Z
% 22.70/23.10 Y := T
% 22.70/23.10 Z := X
% 22.70/23.10 T := Y
% 22.70/23.10 end
% 22.70/23.10
% 22.70/23.10 subsumption: (277) {G1,W15,D2,L3,V6,M3} R(8,7) { ! perp( X, Y, Z, T ), para
% 22.70/23.10 ( U, W, Z, T ), ! perp( X, Y, U, W ) }.
% 22.70/23.10 parent0: (56059) {G1,W15,D2,L3,V6,M3} { ! perp( Z, T, U, W ), para( X, Y,
% 22.70/23.10 U, W ), ! perp( Z, T, X, Y ) }.
% 22.70/23.10 substitution0:
% 22.70/23.10 X := U
% 22.70/23.10 Y := W
% 22.70/23.10 Z := X
% 22.70/23.10 T := Y
% 22.70/23.10 U := Z
% 22.70/23.10 W := T
% 22.70/23.10 end
% 22.70/23.10 permutation0:
% 22.70/23.10 0 ==> 0
% 22.70/23.10 1 ==> 1
% 22.70/23.10 2 ==> 2
% 22.70/23.10 end
% 22.70/23.10
% 22.70/23.10 resolution: (56064) {G1,W10,D2,L2,V2,M2} { ! perp( X, Y, skol26, skol22 )
% 22.70/23.10 , para( X, Y, skol27, skol28 ) }.
% 22.70/23.10 parent0[1]: (8) {G0,W15,D2,L3,V6,M3} I { ! perp( X, Y, U, W ), ! perp( U, W
% 22.70/23.10 , Z, T ), para( X, Y, Z, T ) }.
% 22.70/23.10 parent1[0]: (120) {G0,W5,D2,L1,V0,M1} I { perp( skol26, skol22, skol27,
% 22.70/23.10 skol28 ) }.
% 22.70/23.10 substitution0:
% 22.70/23.10 X := X
% 22.70/23.10 Y := Y
% 22.70/23.10 Z := skol27
% 22.70/23.10 T := skol28
% 22.70/23.10 U := skol26
% 22.70/23.10 W := skol22
% 22.70/23.10 end
% 22.70/23.10 substitution1:
% 22.70/23.10 end
% 22.70/23.10
% 22.70/23.10 subsumption: (285) {G1,W10,D2,L2,V2,M2} R(8,120) { ! perp( X, Y, skol26,
% 22.70/23.10 skol22 ), para( X, Y, skol27, skol28 ) }.
% 22.70/23.10 parent0: (56064) {G1,W10,D2,L2,V2,M2} { ! perp( X, Y, skol26, skol22 ),
% 22.70/23.10 para( X, Y, skol27, skol28 ) }.
% 22.70/23.10 substitution0:
% 22.70/23.10 X := X
% 22.70/23.10 Y := Y
% 22.70/23.10 end
% 22.70/23.10 permutation0:
% 22.70/23.10 0 ==> 0
% 22.70/23.10 1 ==> 1
% 22.70/23.10 end
% 22.70/23.10
% 22.70/23.10 resolution: (56065) {G1,W5,D2,L1,V0,M1} { perp( skol27, skol28, skol22,
% 22.70/23.10 skol26 ) }.
% 22.70/23.10 parent0[0]: (6) {G0,W10,D2,L2,V4,M2} I { ! perp( X, Y, Z, T ), perp( X, Y,
% 22.70/23.10 T, Z ) }.
% 22.70/23.10 parent1[0]: (267) {G1,W5,D2,L1,V0,M1} R(7,120) { perp( skol27, skol28,
% 22.70/23.10 skol26, skol22 ) }.
% 22.70/23.10 substitution0:
% 22.70/23.10 X := skol27
% 22.70/23.10 Y := skol28
% 22.70/23.10 Z := skol26
% 22.70/23.10 T := skol22
% 22.70/23.10 end
% 22.70/23.10 substitution1:
% 22.70/23.10 end
% 22.70/23.10
% 22.70/23.10 subsumption: (336) {G2,W5,D2,L1,V0,M1} R(267,6) { perp( skol27, skol28,
% 22.70/23.10 skol22, skol26 ) }.
% 22.70/23.10 parent0: (56065) {G1,W5,D2,L1,V0,M1} { perp( skol27, skol28, skol22,
% 22.70/23.10 skol26 ) }.
% 22.70/23.10 substitution0:
% 22.70/23.10 end
% 22.70/23.10 permutation0:
% 22.70/23.10 0 ==> 0
% 22.70/23.10 end
% 22.70/23.10
% 22.70/23.10 resolution: (56066) {G1,W5,D2,L1,V0,M1} { perp( skol22, skol26, skol27,
% 22.70/23.10 skol28 ) }.
% 22.70/23.10 parent0[0]: (7) {G0,W10,D2,L2,V4,M2} I { ! perp( X, Y, Z, T ), perp( Z, T,
% 22.70/23.10 X, Y ) }.
% 22.70/23.10 parent1[0]: (336) {G2,W5,D2,L1,V0,M1} R(267,6) { perp( skol27, skol28,
% 22.70/23.10 skol22, skol26 ) }.
% 22.70/23.10 substitution0:
% 22.70/23.10 X := skol27
% 22.70/23.10 Y := skol28
% 22.70/23.10 Z := skol22
% 22.70/23.10 T := skol26
% 22.70/23.10 end
% 22.70/23.10 substitution1:
% 22.70/23.10 end
% 22.70/23.10
% 22.70/23.10 subsumption: (340) {G3,W5,D2,L1,V0,M1} R(336,7) { perp( skol22, skol26,
% 22.70/23.10 skol27, skol28 ) }.
% 22.70/23.10 parent0: (56066) {G1,W5,D2,L1,V0,M1} { perp( skol22, skol26, skol27,
% 22.70/23.10 skol28 ) }.
% 22.70/23.10 substitution0:
% 22.70/23.10 end
% 22.70/23.10 permutation0:
% 22.70/23.10 0 ==> 0
% 22.70/23.10 end
% 22.70/23.10
% 22.70/23.10 resolution: (56067) {G1,W5,D2,L1,V0,M1} { perp( skol22, skol26, skol28,
% 22.70/23.10 skol27 ) }.
% 22.70/23.10 parent0[0]: (6) {G0,W10,D2,L2,V4,M2} I { ! perp( X, Y, Z, T ), perp( X, Y,
% 22.70/23.10 T, Z ) }.
% 22.70/23.10 parent1[0]: (340) {G3,W5,D2,L1,V0,M1} R(336,7) { perp( skol22, skol26,
% 22.70/23.10 skol27, skol28 ) }.
% 22.70/23.10 substitution0:
% 22.70/23.10 X := skol22
% 22.70/23.10 Y := skol26
% 22.70/23.10 Z := skol27
% 22.70/23.10 T := skol28
% 22.70/23.10 end
% 22.70/23.10 substitution1:
% 22.70/23.10 end
% 22.70/23.10
% 22.70/23.10 subsumption: (344) {G4,W5,D2,L1,V0,M1} R(340,6) { perp( skol22, skol26,
% 22.70/23.10 skol28, skol27 ) }.
% 22.70/23.10 parent0: (56067) {G1,W5,D2,L1,V0,M1} { perp( skol22, skol26, skol28,
% 22.70/23.10 skol27 ) }.
% 22.70/23.10 substitution0:
% 22.70/23.10 end
% 22.70/23.10 permutation0:
% 22.70/23.10 0 ==> 0
% 22.70/23.10 end
% 22.70/23.10
% 22.70/23.10 resolution: (56068) {G1,W5,D2,L1,V0,M1} { perp( skol28, skol27, skol22,
% 22.70/23.10 skol26 ) }.
% 22.70/23.10 parent0[0]: (7) {G0,W10,D2,L2,V4,M2} I { ! perp( X, Y, Z, T ), perp( Z, T,
% 22.70/23.10 X, Y ) }.
% 22.70/23.10 parent1[0]: (344) {G4,W5,D2,L1,V0,M1} R(340,6) { perp( skol22, skol26,
% 22.70/23.10 skol28, skol27 ) }.
% 22.70/23.10 substitution0:
% 22.70/23.10 X := skol22
% 22.70/23.10 Y := skol26
% 22.70/23.10 Z := skol28
% 22.70/23.10 T := skol27
% 22.70/23.10 end
% 22.70/23.10 substitution1:
% 22.70/23.10 end
% 22.70/23.10
% 22.70/23.10 subsumption: (348) {G5,W5,D2,L1,V0,M1} R(344,7) { perp( skol28, skol27,
% 22.70/23.10 skol22, skol26 ) }.
% 22.70/23.10 parent0: (56068) {G1,W5,D2,L1,V0,M1} { perp( skol28, skol27, skol22,
% 22.70/23.10 skol26 ) }.
% 22.70/23.10 substitution0:
% 22.70/23.10 end
% 22.70/23.10 permutation0:
% 22.70/23.10 0 ==> 0
% 22.70/23.10 end
% 22.70/23.10
% 22.70/23.10 resolution: (56069) {G1,W5,D2,L1,V0,M1} { perp( skol28, skol27, skol26,
% 22.70/23.10 skol22 ) }.
% 22.70/23.10 parent0[0]: (6) {G0,W10,D2,L2,V4,M2} I { ! perp( X, Y, Z, T ), perp( X, Y,
% 22.70/23.10 T, Z ) }.
% 22.70/23.10 parent1[0]: (348) {G5,W5,D2,L1,V0,M1} R(344,7) { perp( skol28, skol27,
% 22.70/23.10 skol22, skol26 ) }.
% 22.70/23.10 substitution0:
% 22.70/23.10 X := skol28
% 22.70/23.10 Y := skol27
% 22.70/23.10 Z := skol22
% 22.70/23.10 T := skol26
% 22.70/23.10 end
% 22.70/23.10 substitution1:
% 22.70/23.10 end
% 22.70/23.10
% 22.70/23.10 subsumption: (352) {G6,W5,D2,L1,V0,M1} R(348,6) { perp( skol28, skol27,
% 22.70/23.10 skol26, skol22 ) }.
% 22.70/23.10 parent0: (56069) {G1,W5,D2,L1,V0,M1} { perp( skol28, skol27, skol26,
% 22.70/23.10 skol22 ) }.
% 22.70/23.10 substitution0:
% 22.70/23.10 end
% 22.70/23.10 permutation0:
% 22.70/23.10 0 ==> 0
% 22.70/23.10 end
% 22.70/23.10
% 22.70/23.10 resolution: (56071) {G1,W10,D2,L2,V4,M2} { cyclic( X, Y, T, Z ), ! cyclic
% 22.70/23.10 ( X, Z, Y, T ) }.
% 22.70/23.10 parent0[0]: (13) {G0,W10,D2,L2,V4,M2} I { ! cyclic( X, Y, Z, T ), cyclic( X
% 22.70/23.10 , Y, T, Z ) }.
% 22.70/23.10 parent1[1]: (14) {G0,W10,D2,L2,V4,M2} I { ! cyclic( X, Y, Z, T ), cyclic( X
% 22.70/23.10 , Z, Y, T ) }.
% 22.70/23.10 substitution0:
% 22.70/23.10 X := X
% 22.70/23.10 Y := Y
% 22.70/23.10 Z := Z
% 22.70/23.10 T := T
% 22.70/23.10 end
% 22.70/23.10 substitution1:
% 22.70/23.10 X := X
% 22.70/23.10 Y := Z
% 22.70/23.10 Z := Y
% 22.70/23.10 T := T
% 22.70/23.10 end
% 22.70/23.10
% 22.70/23.10 subsumption: (365) {G1,W10,D2,L2,V4,M2} R(14,13) { ! cyclic( X, Y, Z, T ),
% 22.70/23.10 cyclic( X, Z, T, Y ) }.
% 22.70/23.10 parent0: (56071) {G1,W10,D2,L2,V4,M2} { cyclic( X, Y, T, Z ), ! cyclic( X
% 22.70/23.10 , Z, Y, T ) }.
% 22.70/23.10 substitution0:
% 22.70/23.10 X := X
% 22.70/23.10 Y := Z
% 22.70/23.10 Z := Y
% 22.70/23.10 T := T
% 22.70/23.10 end
% 22.70/23.10 permutation0:
% 22.70/23.10 0 ==> 1
% 22.70/23.10 1 ==> 0
% 22.70/23.10 end
% 22.70/23.10
% 22.70/23.10 resolution: (56072) {G1,W10,D2,L2,V4,M2} { cyclic( Y, X, Z, T ), ! cyclic
% 22.70/23.10 ( X, Z, Y, T ) }.
% 22.70/23.10 parent0[0]: (15) {G0,W10,D2,L2,V4,M2} I { ! cyclic( X, Y, Z, T ), cyclic( Y
% 22.70/23.10 , X, Z, T ) }.
% 22.70/23.10 parent1[1]: (14) {G0,W10,D2,L2,V4,M2} I { ! cyclic( X, Y, Z, T ), cyclic( X
% 22.70/23.10 , Z, Y, T ) }.
% 22.70/23.10 substitution0:
% 22.70/23.10 X := X
% 22.70/23.10 Y := Y
% 22.70/23.10 Z := Z
% 22.70/23.10 T := T
% 22.70/23.10 end
% 22.70/23.10 substitution1:
% 22.70/23.10 X := X
% 22.70/23.10 Y := Z
% 22.70/23.10 Z := Y
% 22.70/23.10 T := T
% 22.70/23.10 end
% 22.70/23.10
% 22.70/23.10 subsumption: (381) {G1,W10,D2,L2,V4,M2} R(15,14) { cyclic( X, Y, Z, T ), !
% 22.70/23.10 cyclic( Y, Z, X, T ) }.
% 22.70/23.10 parent0: (56072) {G1,W10,D2,L2,V4,M2} { cyclic( Y, X, Z, T ), ! cyclic( X
% 22.70/23.10 , Z, Y, T ) }.
% 22.70/23.10 substitution0:
% 22.70/23.10 X := Y
% 22.70/23.10 Y := X
% 22.70/23.10 Z := Z
% 22.70/23.10 T := T
% 22.70/23.10 end
% 22.70/23.10 permutation0:
% 22.70/23.10 0 ==> 0
% 22.70/23.10 1 ==> 1
% 22.70/23.10 end
% 22.70/23.10
% 22.70/23.10 resolution: (56073) {G1,W10,D2,L2,V4,M2} { cyclic( Y, X, Z, T ), ! cyclic
% 22.70/23.10 ( X, Y, T, Z ) }.
% 22.70/23.10 parent0[0]: (15) {G0,W10,D2,L2,V4,M2} I { ! cyclic( X, Y, Z, T ), cyclic( Y
% 22.70/23.10 , X, Z, T ) }.
% 22.70/23.10 parent1[1]: (13) {G0,W10,D2,L2,V4,M2} I { ! cyclic( X, Y, Z, T ), cyclic( X
% 22.70/23.10 , Y, T, Z ) }.
% 22.70/23.10 substitution0:
% 22.70/23.10 X := X
% 22.70/23.10 Y := Y
% 22.70/23.10 Z := Z
% 22.70/23.10 T := T
% 22.70/23.10 end
% 22.70/23.10 substitution1:
% 22.70/23.10 X := X
% 22.70/23.10 Y := Y
% 22.70/23.10 Z := T
% 22.70/23.10 T := Z
% 22.70/23.10 end
% 22.70/23.10
% 22.70/23.10 subsumption: (383) {G1,W10,D2,L2,V4,M2} R(15,13) { cyclic( X, Y, Z, T ), !
% 22.70/23.10 cyclic( Y, X, T, Z ) }.
% 22.70/23.10 parent0: (56073) {G1,W10,D2,L2,V4,M2} { cyclic( Y, X, Z, T ), ! cyclic( X
% 22.70/23.10 , Y, T, Z ) }.
% 22.70/23.10 substitution0:
% 22.70/23.10 X := Y
% 22.70/23.10 Y := X
% 22.70/23.10 Z := Z
% 22.70/23.10 T := T
% 22.70/23.10 end
% 22.70/23.10 permutation0:
% 22.70/23.10 0 ==> 0
% 22.70/23.10 1 ==> 1
% 22.70/23.10 end
% 22.70/23.10
% 22.70/23.10 resolution: (56077) {G1,W15,D2,L3,V5,M3} { cyclic( Y, X, Z, T ), ! cyclic
% 22.70/23.10 ( U, X, Y, Z ), ! cyclic( U, X, Y, T ) }.
% 22.70/23.10 parent0[0]: (15) {G0,W10,D2,L2,V4,M2} I { ! cyclic( X, Y, Z, T ), cyclic( Y
% 22.70/23.10 , X, Z, T ) }.
% 22.70/23.10 parent1[2]: (16) {G0,W15,D2,L3,V5,M3} I { ! cyclic( U, X, Y, Z ), ! cyclic
% 22.70/23.10 ( U, X, Y, T ), cyclic( X, Y, Z, T ) }.
% 22.70/23.10 substitution0:
% 22.70/23.10 X := X
% 22.70/23.10 Y := Y
% 22.70/23.10 Z := Z
% 22.70/23.10 T := T
% 22.70/23.10 end
% 22.70/23.10 substitution1:
% 22.70/23.10 X := X
% 22.70/23.10 Y := Y
% 22.70/23.10 Z := Z
% 22.70/23.10 T := T
% 22.70/23.10 U := U
% 22.70/23.10 end
% 22.70/23.10
% 22.70/23.10 subsumption: (402) {G1,W15,D2,L3,V5,M3} R(16,15) { ! cyclic( X, Y, Z, T ),
% 22.70/23.10 ! cyclic( X, Y, Z, U ), cyclic( Z, Y, T, U ) }.
% 22.70/23.10 parent0: (56077) {G1,W15,D2,L3,V5,M3} { cyclic( Y, X, Z, T ), ! cyclic( U
% 22.70/23.10 , X, Y, Z ), ! cyclic( U, X, Y, T ) }.
% 22.70/23.10 substitution0:
% 22.70/23.10 X := Y
% 22.70/23.10 Y := Z
% 22.70/23.10 Z := T
% 22.70/23.10 T := U
% 22.70/23.10 U := X
% 22.70/23.10 end
% 22.70/23.10 permutation0:
% 22.70/23.10 0 ==> 2
% 22.70/23.10 1 ==> 0
% 22.70/23.10 2 ==> 1
% 22.70/23.10 end
% 22.70/23.10
% 22.70/23.10 resolution: (56080) {G1,W15,D2,L3,V5,M3} { ! cyclic( X, Y, Z, T ), cyclic
% 22.70/23.10 ( Y, Z, T, U ), ! cyclic( X, Y, U, Z ) }.
% 22.70/23.10 parent0[1]: (16) {G0,W15,D2,L3,V5,M3} I { ! cyclic( U, X, Y, Z ), ! cyclic
% 22.70/23.10 ( U, X, Y, T ), cyclic( X, Y, Z, T ) }.
% 22.70/23.10 parent1[1]: (13) {G0,W10,D2,L2,V4,M2} I { ! cyclic( X, Y, Z, T ), cyclic( X
% 22.70/23.10 , Y, T, Z ) }.
% 22.70/23.10 substitution0:
% 22.70/23.10 X := Y
% 22.70/23.10 Y := Z
% 22.70/23.10 Z := T
% 22.70/23.10 T := U
% 22.70/23.10 U := X
% 22.70/23.10 end
% 22.70/23.10 substitution1:
% 22.70/23.10 X := X
% 22.70/23.10 Y := Y
% 22.70/23.10 Z := U
% 22.70/23.10 T := Z
% 22.70/23.10 end
% 22.70/23.10
% 22.70/23.10 subsumption: (407) {G1,W15,D2,L3,V5,M3} R(16,13) { ! cyclic( X, Y, Z, T ),
% 22.70/23.10 cyclic( Y, Z, T, U ), ! cyclic( X, Y, U, Z ) }.
% 22.70/23.10 parent0: (56080) {G1,W15,D2,L3,V5,M3} { ! cyclic( X, Y, Z, T ), cyclic( Y
% 22.70/23.10 , Z, T, U ), ! cyclic( X, Y, U, Z ) }.
% 22.70/23.10 substitution0:
% 22.70/23.10 X := X
% 22.70/23.10 Y := Y
% 22.70/23.10 Z := Z
% 22.70/23.10 T := T
% 22.70/23.10 U := U
% 22.70/23.10 end
% 22.70/23.10 permutation0:
% 22.70/23.10 0 ==> 0
% 22.70/23.10 1 ==> 1
% 22.70/23.10 2 ==> 2
% 22.70/23.10 end
% 22.70/23.10
% 22.70/23.10 factor: (56082) {G1,W10,D2,L2,V4,M2} { ! cyclic( X, Y, Z, T ), cyclic( Z,
% 22.70/23.10 Y, T, T ) }.
% 22.70/23.10 parent0[0, 1]: (402) {G1,W15,D2,L3,V5,M3} R(16,15) { ! cyclic( X, Y, Z, T )
% 22.70/23.10 , ! cyclic( X, Y, Z, U ), cyclic( Z, Y, T, U ) }.
% 22.70/23.10 substitution0:
% 22.70/23.10 X := X
% 22.70/23.10 Y := Y
% 22.70/23.10 Z := Z
% 22.70/23.10 T := T
% 22.70/23.10 U := T
% 22.70/23.10 end
% 22.70/23.10
% 22.70/23.10 subsumption: (411) {G2,W10,D2,L2,V4,M2} F(402) { ! cyclic( X, Y, Z, T ),
% 22.70/23.10 cyclic( Z, Y, T, T ) }.
% 22.70/23.10 parent0: (56082) {G1,W10,D2,L2,V4,M2} { ! cyclic( X, Y, Z, T ), cyclic( Z
% 22.70/23.10 , Y, T, T ) }.
% 22.70/23.10 substitution0:
% 22.70/23.10 X := X
% 22.70/23.10 Y := Y
% 22.70/23.10 Z := Z
% 22.70/23.10 T := T
% 22.70/23.10 end
% 22.70/23.10 permutation0:
% 22.70/23.10 0 ==> 0
% 22.70/23.10 1 ==> 1
% 22.70/23.10 end
% 22.70/23.10
% 22.70/23.10 resolution: (56084) {G1,W8,D2,L2,V3,M2} { coll( X, X, Y ), ! coll( X, Z, Y
% 22.70/23.10 ) }.
% 22.70/23.10 parent0[0]: (0) {G0,W8,D2,L2,V3,M2} I { ! coll( X, Y, Z ), coll( X, Z, Y )
% 22.70/23.10 }.
% 22.70/23.10 parent1[0]: (227) {G4,W8,D2,L2,V3,M2} F(216) { coll( X, Y, X ), ! coll( X,
% 22.70/23.10 Z, Y ) }.
% 22.70/23.10 substitution0:
% 22.70/23.10 X := X
% 22.70/23.10 Y := Y
% 22.70/23.10 Z := X
% 22.70/23.10 end
% 22.70/23.10 substitution1:
% 22.70/23.10 X := X
% 22.70/23.10 Y := Y
% 22.70/23.10 Z := Z
% 22.70/23.10 end
% 22.70/23.10
% 22.70/23.10 subsumption: (417) {G5,W8,D2,L2,V3,M2} R(227,0) { ! coll( X, Y, Z ), coll(
% 22.70/23.10 X, X, Z ) }.
% 22.70/23.10 parent0: (56084) {G1,W8,D2,L2,V3,M2} { coll( X, X, Y ), ! coll( X, Z, Y )
% 22.70/23.10 }.
% 22.70/23.10 substitution0:
% 22.70/23.10 X := X
% 22.70/23.10 Y := Z
% 22.70/23.10 Z := Y
% 22.70/23.10 end
% 22.70/23.10 permutation0:
% 22.70/23.10 0 ==> 1
% 22.70/23.10 1 ==> 0
% 22.70/23.10 end
% 22.70/23.10
% 22.70/23.10 resolution: (56086) {G1,W18,D2,L2,V8,M2} { eqangle( U, W, V0, V1, X, Y, Z
% 22.70/23.10 , T ), ! eqangle( X, Y, U, W, Z, T, V0, V1 ) }.
% 22.70/23.10 parent0[0]: (19) {G0,W18,D2,L2,V8,M2} I { ! eqangle( X, Y, Z, T, U, W, V0,
% 22.70/23.10 V1 ), eqangle( U, W, V0, V1, X, Y, Z, T ) }.
% 22.70/23.10 parent1[1]: (20) {G0,W18,D2,L2,V8,M2} I { ! eqangle( X, Y, Z, T, U, W, V0,
% 22.70/23.10 V1 ), eqangle( X, Y, U, W, Z, T, V0, V1 ) }.
% 22.70/23.10 substitution0:
% 22.70/23.10 X := X
% 22.70/23.10 Y := Y
% 22.70/23.10 Z := Z
% 22.70/23.10 T := T
% 22.70/23.10 U := U
% 22.70/23.10 W := W
% 22.70/23.10 V0 := V0
% 22.70/23.10 V1 := V1
% 22.70/23.10 end
% 22.70/23.10 substitution1:
% 22.70/23.10 X := X
% 22.70/23.10 Y := Y
% 22.70/23.10 Z := U
% 22.70/23.10 T := W
% 22.70/23.10 U := Z
% 22.70/23.10 W := T
% 22.70/23.10 V0 := V0
% 22.70/23.10 V1 := V1
% 22.70/23.10 end
% 22.70/23.10
% 22.70/23.10 subsumption: (455) {G1,W18,D2,L2,V8,M2} R(20,19) { ! eqangle( X, Y, Z, T, U
% 22.70/23.10 , W, V0, V1 ), eqangle( Z, T, V0, V1, X, Y, U, W ) }.
% 22.70/23.10 parent0: (56086) {G1,W18,D2,L2,V8,M2} { eqangle( U, W, V0, V1, X, Y, Z, T
% 22.70/23.10 ), ! eqangle( X, Y, U, W, Z, T, V0, V1 ) }.
% 22.70/23.10 substitution0:
% 22.70/23.10 X := X
% 22.70/23.10 Y := Y
% 22.70/23.10 Z := U
% 22.70/23.10 T := W
% 22.70/23.10 U := Z
% 22.70/23.10 W := T
% 22.70/23.10 V0 := V0
% 22.70/23.10 V1 := V1
% 22.70/23.10 end
% 22.70/23.10 permutation0:
% 22.70/23.10 0 ==> 1
% 22.70/23.10 1 ==> 0
% 22.70/23.10 end
% 22.70/23.10
% 22.70/23.10 resolution: (56087) {G1,W23,D2,L3,V10,M3} { ! eqangle( U, W, Z, T, V0, V1
% 22.70/23.10 , V2, V3 ), eqangle( X, Y, Z, T, V0, V1, V2, V3 ), ! para( X, Y, U, W )
% 22.70/23.10 }.
% 22.70/23.10 parent0[0]: (21) {G0,W27,D2,L3,V12,M3} I { ! eqangle( X, Y, Z, T, V2, V3,
% 22.70/23.10 V4, V5 ), ! eqangle( V2, V3, V4, V5, U, W, V0, V1 ), eqangle( X, Y, Z, T
% 22.70/23.10 , U, W, V0, V1 ) }.
% 22.70/23.10 parent1[1]: (39) {G0,W14,D2,L2,V6,M2} I { ! para( X, Y, Z, T ), eqangle( X
% 22.70/23.10 , Y, U, W, Z, T, U, W ) }.
% 22.70/23.10 substitution0:
% 22.70/23.10 X := X
% 22.70/23.10 Y := Y
% 22.70/23.10 Z := Z
% 22.70/23.10 T := T
% 22.70/23.10 U := V0
% 22.70/23.10 W := V1
% 22.70/23.10 V0 := V2
% 22.70/23.10 V1 := V3
% 22.70/23.10 V2 := U
% 22.70/23.10 V3 := W
% 22.70/23.10 V4 := Z
% 22.70/23.10 V5 := T
% 22.70/23.10 end
% 22.70/23.10 substitution1:
% 22.70/23.10 X := X
% 22.70/23.10 Y := Y
% 22.70/23.10 Z := U
% 22.70/23.10 T := W
% 22.70/23.10 U := Z
% 22.70/23.10 W := T
% 22.70/23.10 end
% 22.70/23.10
% 22.70/23.10 subsumption: (779) {G1,W23,D2,L3,V10,M3} R(39,21) { ! para( X, Y, Z, T ), !
% 22.70/23.10 eqangle( Z, T, U, W, V0, V1, V2, V3 ), eqangle( X, Y, U, W, V0, V1, V2,
% 22.70/23.10 V3 ) }.
% 22.70/23.10 parent0: (56087) {G1,W23,D2,L3,V10,M3} { ! eqangle( U, W, Z, T, V0, V1, V2
% 22.70/23.10 , V3 ), eqangle( X, Y, Z, T, V0, V1, V2, V3 ), ! para( X, Y, U, W ) }.
% 22.70/23.10 substitution0:
% 22.70/23.10 X := X
% 22.70/23.10 Y := Y
% 22.70/23.10 Z := U
% 22.70/23.10 T := W
% 22.70/23.10 U := Z
% 22.70/23.10 W := T
% 22.70/23.10 V0 := V0
% 22.70/23.10 V1 := V1
% 22.70/23.10 V2 := V2
% 22.70/23.10 V3 := V3
% 22.70/23.10 end
% 22.70/23.10 permutation0:
% 22.70/23.10 0 ==> 1
% 22.70/23.10 1 ==> 2
% 22.70/23.10 2 ==> 0
% 22.70/23.10 end
% 22.70/23.10
% 22.70/23.10 resolution: (56089) {G1,W14,D2,L2,V6,M2} { eqangle( Z, T, X, Y, Z, T, U, W
% 22.70/23.10 ), ! para( X, Y, U, W ) }.
% 22.70/23.10 parent0[0]: (18) {G0,W18,D2,L2,V8,M2} I { ! eqangle( X, Y, Z, T, U, W, V0,
% 22.70/23.10 V1 ), eqangle( Z, T, X, Y, V0, V1, U, W ) }.
% 22.70/23.10 parent1[1]: (39) {G0,W14,D2,L2,V6,M2} I { ! para( X, Y, Z, T ), eqangle( X
% 22.70/23.10 , Y, U, W, Z, T, U, W ) }.
% 22.70/23.10 substitution0:
% 22.70/23.10 X := X
% 22.70/23.10 Y := Y
% 22.70/23.10 Z := Z
% 22.70/23.10 T := T
% 22.70/23.10 U := U
% 22.70/23.10 W := W
% 22.70/23.10 V0 := Z
% 22.70/23.10 V1 := T
% 22.70/23.10 end
% 22.70/23.10 substitution1:
% 22.70/23.10 X := X
% 22.70/23.10 Y := Y
% 22.70/23.10 Z := U
% 22.70/23.10 T := W
% 22.70/23.10 U := Z
% 22.70/23.10 W := T
% 22.70/23.10 end
% 22.70/23.10
% 22.70/23.10 subsumption: (783) {G1,W14,D2,L2,V6,M2} R(39,18) { ! para( X, Y, Z, T ),
% 22.70/23.10 eqangle( U, W, X, Y, U, W, Z, T ) }.
% 22.70/23.10 parent0: (56089) {G1,W14,D2,L2,V6,M2} { eqangle( Z, T, X, Y, Z, T, U, W )
% 22.70/23.10 , ! para( X, Y, U, W ) }.
% 22.70/23.10 substitution0:
% 22.70/23.10 X := X
% 22.70/23.10 Y := Y
% 22.70/23.10 Z := U
% 22.70/23.10 T := W
% 22.70/23.10 U := Z
% 22.70/23.10 W := T
% 22.70/23.10 end
% 22.70/23.10 permutation0:
% 22.70/23.10 0 ==> 1
% 22.70/23.10 1 ==> 0
% 22.70/23.10 end
% 22.70/23.10
% 22.70/23.10 resolution: (56090) {G1,W14,D2,L2,V6,M2} { eqangle( X, Y, U, W, Z, T, U, W
% 22.70/23.10 ), ! para( X, Y, T, Z ) }.
% 22.70/23.10 parent0[0]: (39) {G0,W14,D2,L2,V6,M2} I { ! para( X, Y, Z, T ), eqangle( X
% 22.70/23.10 , Y, U, W, Z, T, U, W ) }.
% 22.70/23.10 parent1[1]: (3) {G0,W10,D2,L2,V4,M2} I { ! para( X, Y, Z, T ), para( X, Y,
% 22.70/23.10 T, Z ) }.
% 22.70/23.10 substitution0:
% 22.70/23.10 X := X
% 22.70/23.10 Y := Y
% 22.70/23.10 Z := Z
% 22.70/23.10 T := T
% 22.70/23.10 U := U
% 22.70/23.10 W := W
% 22.70/23.10 end
% 22.70/23.10 substitution1:
% 22.70/23.10 X := X
% 22.70/23.10 Y := Y
% 22.70/23.10 Z := T
% 22.70/23.10 T := Z
% 22.70/23.10 end
% 22.70/23.10
% 22.70/23.10 subsumption: (787) {G1,W14,D2,L2,V6,M2} R(39,3) { eqangle( X, Y, Z, T, U, W
% 22.70/23.10 , Z, T ), ! para( X, Y, W, U ) }.
% 22.70/23.10 parent0: (56090) {G1,W14,D2,L2,V6,M2} { eqangle( X, Y, U, W, Z, T, U, W )
% 22.70/23.10 , ! para( X, Y, T, Z ) }.
% 22.70/23.10 substitution0:
% 22.70/23.10 X := X
% 22.70/23.10 Y := Y
% 22.70/23.10 Z := U
% 22.70/23.10 T := W
% 22.70/23.10 U := Z
% 22.70/23.10 W := T
% 22.70/23.10 end
% 22.70/23.10 permutation0:
% 22.70/23.10 0 ==> 0
% 22.70/23.10 1 ==> 1
% 22.70/23.10 end
% 22.70/23.10
% 22.70/23.10 resolution: (56091) {G1,W18,D2,L3,V4,M3} { ! coll( X, T, Z ), cyclic( Y, Z
% 22.70/23.10 , X, T ), ! eqangle( T, Y, T, Z, X, Y, X, Z ) }.
% 22.70/23.10 parent0[0]: (42) {G0,W18,D2,L3,V4,M3} I { ! eqangle( Z, X, Z, Y, T, X, T, Y
% 22.70/23.10 ), ! coll( Z, T, Y ), cyclic( X, Y, Z, T ) }.
% 22.70/23.10 parent1[1]: (19) {G0,W18,D2,L2,V8,M2} I { ! eqangle( X, Y, Z, T, U, W, V0,
% 22.70/23.10 V1 ), eqangle( U, W, V0, V1, X, Y, Z, T ) }.
% 22.70/23.10 substitution0:
% 22.70/23.10 X := Y
% 22.70/23.10 Y := Z
% 22.70/23.10 Z := X
% 22.70/23.10 T := T
% 22.70/23.10 end
% 22.70/23.10 substitution1:
% 22.70/23.10 X := T
% 22.70/23.10 Y := Y
% 22.70/23.10 Z := T
% 22.70/23.10 T := Z
% 22.70/23.10 U := X
% 22.70/23.10 W := Y
% 22.70/23.10 V0 := X
% 22.70/23.10 V1 := Z
% 22.70/23.10 end
% 22.70/23.10
% 22.70/23.10 subsumption: (858) {G1,W18,D2,L3,V4,M3} R(42,19) { ! coll( X, Y, Z ),
% 22.70/23.10 cyclic( T, Z, X, Y ), ! eqangle( Y, T, Y, Z, X, T, X, Z ) }.
% 22.70/23.10 parent0: (56091) {G1,W18,D2,L3,V4,M3} { ! coll( X, T, Z ), cyclic( Y, Z, X
% 22.70/23.10 , T ), ! eqangle( T, Y, T, Z, X, Y, X, Z ) }.
% 22.70/23.10 substitution0:
% 22.70/23.10 X := X
% 22.70/23.10 Y := T
% 22.70/23.10 Z := Z
% 22.70/23.10 T := Y
% 22.70/23.10 end
% 22.70/23.10 permutation0:
% 22.70/23.10 0 ==> 0
% 22.70/23.10 1 ==> 1
% 22.70/23.10 2 ==> 2
% 22.70/23.10 end
% 22.70/23.10
% 22.70/23.10 resolution: (56092) {G1,W25,D2,L5,V4,M5} { ! cyclic( X, Y, Z, X ), !
% 22.70/23.10 cyclic( X, Y, Z, Y ), ! cyclic( X, Y, Z, T ), cong( X, Y, X, Y ), !
% 22.70/23.10 cyclic( X, Y, Z, T ) }.
% 22.70/23.10 parent0[3]: (43) {G0,W29,D2,L5,V6,M5} I { ! cyclic( X, Y, U, Z ), ! cyclic
% 22.70/23.10 ( X, Y, U, T ), ! cyclic( X, Y, U, W ), ! eqangle( U, X, U, Y, W, Z, W, T
% 22.70/23.10 ), cong( X, Y, Z, T ) }.
% 22.70/23.10 parent1[1]: (40) {G0,W14,D2,L2,V4,M2} I { ! cyclic( X, Y, Z, T ), eqangle(
% 22.70/23.10 Z, X, Z, Y, T, X, T, Y ) }.
% 22.70/23.10 substitution0:
% 22.70/23.10 X := X
% 22.70/23.10 Y := Y
% 22.70/23.10 Z := X
% 22.70/23.10 T := Y
% 22.70/23.10 U := Z
% 22.70/23.10 W := T
% 22.70/23.10 end
% 22.70/23.10 substitution1:
% 22.76/23.10 X := X
% 22.76/23.10 Y := Y
% 22.76/23.10 Z := Z
% 22.76/23.10 T := T
% 22.76/23.10 end
% 22.76/23.10
% 22.76/23.10 factor: (56094) {G1,W20,D2,L4,V3,M4} { ! cyclic( X, Y, Z, X ), ! cyclic( X
% 22.76/23.10 , Y, Z, Y ), cong( X, Y, X, Y ), ! cyclic( X, Y, Z, X ) }.
% 22.76/23.10 parent0[0, 2]: (56092) {G1,W25,D2,L5,V4,M5} { ! cyclic( X, Y, Z, X ), !
% 22.76/23.10 cyclic( X, Y, Z, Y ), ! cyclic( X, Y, Z, T ), cong( X, Y, X, Y ), !
% 22.76/23.10 cyclic( X, Y, Z, T ) }.
% 22.76/23.10 substitution0:
% 22.76/23.10 X := X
% 22.76/23.10 Y := Y
% 22.76/23.10 Z := Z
% 22.76/23.10 T := X
% 22.76/23.10 end
% 22.76/23.10
% 22.76/23.10 subsumption: (932) {G1,W20,D2,L4,V4,M4} R(43,40);f { ! cyclic( X, Y, Z, X )
% 22.76/23.10 , ! cyclic( X, Y, Z, Y ), ! cyclic( X, Y, Z, T ), cong( X, Y, X, Y ) }.
% 22.76/23.10 parent0: (56094) {G1,W20,D2,L4,V3,M4} { ! cyclic( X, Y, Z, X ), ! cyclic(
% 22.76/23.10 X, Y, Z, Y ), cong( X, Y, X, Y ), ! cyclic( X, Y, Z, X ) }.
% 22.76/23.10 substitution0:
% 22.76/23.10 X := X
% 22.76/23.10 Y := Y
% 22.76/23.10 Z := Z
% 22.76/23.10 end
% 22.76/23.10 permutation0:
% 22.76/23.10 0 ==> 0
% 22.76/23.10 1 ==> 1
% 22.76/23.10 2 ==> 3
% 22.76/23.10 3 ==> 0
% 22.76/23.10 end
% 22.76/23.10
% 22.76/23.10 factor: (56099) {G1,W15,D2,L3,V3,M3} { ! cyclic( X, Y, Z, X ), ! cyclic( X
% 22.76/23.10 , Y, Z, Y ), cong( X, Y, X, Y ) }.
% 22.76/23.10 parent0[0, 2]: (932) {G1,W20,D2,L4,V4,M4} R(43,40);f { ! cyclic( X, Y, Z, X
% 22.76/23.10 ), ! cyclic( X, Y, Z, Y ), ! cyclic( X, Y, Z, T ), cong( X, Y, X, Y )
% 22.76/23.10 }.
% 22.76/23.10 substitution0:
% 22.76/23.10 X := X
% 22.76/23.10 Y := Y
% 22.76/23.10 Z := Z
% 22.76/23.10 T := X
% 22.76/23.10 end
% 22.76/23.10
% 22.76/23.10 subsumption: (964) {G2,W15,D2,L3,V3,M3} F(932) { ! cyclic( X, Y, Z, X ), !
% 22.76/23.10 cyclic( X, Y, Z, Y ), cong( X, Y, X, Y ) }.
% 22.76/23.10 parent0: (56099) {G1,W15,D2,L3,V3,M3} { ! cyclic( X, Y, Z, X ), ! cyclic(
% 22.76/23.10 X, Y, Z, Y ), cong( X, Y, X, Y ) }.
% 22.76/23.10 substitution0:
% 22.76/23.10 X := X
% 22.76/23.10 Y := Y
% 22.76/23.10 Z := Z
% 22.76/23.10 end
% 22.76/23.10 permutation0:
% 22.76/23.10 0 ==> 0
% 22.76/23.10 1 ==> 1
% 22.76/23.10 2 ==> 2
% 22.76/23.10 end
% 22.76/23.10
% 22.76/23.10 resolution: (56101) {G2,W5,D2,L1,V0,M1} { para( skol28, skol27, skol27,
% 22.76/23.10 skol28 ) }.
% 22.76/23.10 parent0[0]: (285) {G1,W10,D2,L2,V2,M2} R(8,120) { ! perp( X, Y, skol26,
% 22.76/23.10 skol22 ), para( X, Y, skol27, skol28 ) }.
% 22.76/23.10 parent1[0]: (352) {G6,W5,D2,L1,V0,M1} R(348,6) { perp( skol28, skol27,
% 22.76/23.10 skol26, skol22 ) }.
% 22.76/23.10 substitution0:
% 22.76/23.10 X := skol28
% 22.76/23.10 Y := skol27
% 22.76/23.10 end
% 22.76/23.10 substitution1:
% 22.76/23.10 end
% 22.76/23.10
% 22.76/23.10 subsumption: (16528) {G7,W5,D2,L1,V0,M1} R(285,352) { para( skol28, skol27
% 22.76/23.10 , skol27, skol28 ) }.
% 22.76/23.10 parent0: (56101) {G2,W5,D2,L1,V0,M1} { para( skol28, skol27, skol27,
% 22.76/23.10 skol28 ) }.
% 22.76/23.10 substitution0:
% 22.76/23.10 end
% 22.76/23.10 permutation0:
% 22.76/23.10 0 ==> 0
% 22.76/23.10 end
% 22.76/23.10
% 22.76/23.10 resolution: (56102) {G3,W5,D2,L1,V0,M1} { para( skol28, skol27, skol28,
% 22.76/23.10 skol27 ) }.
% 22.76/23.10 parent0[0]: (247) {G2,W10,D2,L2,V4,M2} F(243) { ! para( X, Y, Z, T ), para
% 22.76/23.10 ( X, Y, X, Y ) }.
% 22.76/23.10 parent1[0]: (16528) {G7,W5,D2,L1,V0,M1} R(285,352) { para( skol28, skol27,
% 22.76/23.10 skol27, skol28 ) }.
% 22.76/23.10 substitution0:
% 22.76/23.10 X := skol28
% 22.76/23.10 Y := skol27
% 22.76/23.10 Z := skol27
% 22.76/23.10 T := skol28
% 22.76/23.10 end
% 22.76/23.10 substitution1:
% 22.76/23.10 end
% 22.76/23.10
% 22.76/23.10 subsumption: (16709) {G8,W5,D2,L1,V0,M1} R(16528,247) { para( skol28,
% 22.76/23.10 skol27, skol28, skol27 ) }.
% 22.76/23.10 parent0: (56102) {G3,W5,D2,L1,V0,M1} { para( skol28, skol27, skol28,
% 22.76/23.10 skol27 ) }.
% 22.76/23.10 substitution0:
% 22.76/23.10 end
% 22.76/23.10 permutation0:
% 22.76/23.10 0 ==> 0
% 22.76/23.10 end
% 22.76/23.10
% 22.76/23.10 resolution: (56103) {G1,W4,D2,L1,V0,M1} { coll( skol28, skol27, skol27 )
% 22.76/23.10 }.
% 22.76/23.10 parent0[0]: (66) {G0,W9,D2,L2,V3,M2} I { ! para( X, Y, X, Z ), coll( X, Y,
% 22.76/23.10 Z ) }.
% 22.76/23.10 parent1[0]: (16709) {G8,W5,D2,L1,V0,M1} R(16528,247) { para( skol28, skol27
% 22.76/23.10 , skol28, skol27 ) }.
% 22.76/23.10 substitution0:
% 22.76/23.10 X := skol28
% 22.76/23.10 Y := skol27
% 22.76/23.10 Z := skol27
% 22.76/23.10 end
% 22.76/23.10 substitution1:
% 22.76/23.10 end
% 22.76/23.10
% 22.76/23.10 subsumption: (16719) {G9,W4,D2,L1,V0,M1} R(16709,66) { coll( skol28, skol27
% 22.76/23.10 , skol27 ) }.
% 22.76/23.10 parent0: (56103) {G1,W4,D2,L1,V0,M1} { coll( skol28, skol27, skol27 ) }.
% 22.76/23.10 substitution0:
% 22.76/23.10 end
% 22.76/23.10 permutation0:
% 22.76/23.10 0 ==> 0
% 22.76/23.10 end
% 22.76/23.10
% 22.76/23.10 resolution: (56104) {G6,W4,D2,L1,V0,M1} { coll( skol28, skol28, skol27 )
% 22.76/23.10 }.
% 22.76/23.10 parent0[0]: (417) {G5,W8,D2,L2,V3,M2} R(227,0) { ! coll( X, Y, Z ), coll( X
% 22.76/23.10 , X, Z ) }.
% 22.76/23.10 parent1[0]: (16719) {G9,W4,D2,L1,V0,M1} R(16709,66) { coll( skol28, skol27
% 22.76/23.10 , skol27 ) }.
% 22.76/23.10 substitution0:
% 22.76/23.10 X := skol28
% 22.76/23.10 Y := skol27
% 22.76/23.10 Z := skol27
% 22.76/23.10 end
% 22.76/23.10 substitution1:
% 22.76/23.10 end
% 22.76/23.10
% 22.76/23.10 subsumption: (16738) {G10,W4,D2,L1,V0,M1} R(16719,417) { coll( skol28,
% 22.76/23.10 skol28, skol27 ) }.
% 22.76/23.10 parent0: (56104) {G6,W4,D2,L1,V0,M1} { coll( skol28, skol28, skol27 ) }.
% 22.76/23.10 substitution0:
% 22.76/23.10 end
% 22.76/23.10 permutation0:
% 22.76/23.10 0 ==> 0
% 22.76/23.10 end
% 22.76/23.10
% 22.76/23.10 resolution: (56105) {G2,W9,D2,L1,V2,M1} { eqangle( X, Y, skol28, skol27, X
% 22.76/23.10 , Y, skol28, skol27 ) }.
% 22.76/23.10 parent0[0]: (783) {G1,W14,D2,L2,V6,M2} R(39,18) { ! para( X, Y, Z, T ),
% 22.76/23.10 eqangle( U, W, X, Y, U, W, Z, T ) }.
% 22.76/23.10 parent1[0]: (16709) {G8,W5,D2,L1,V0,M1} R(16528,247) { para( skol28, skol27
% 22.76/23.10 , skol28, skol27 ) }.
% 22.76/23.10 substitution0:
% 22.76/23.10 X := skol28
% 22.76/23.10 Y := skol27
% 22.76/23.10 Z := skol28
% 22.76/23.10 T := skol27
% 22.76/23.10 U := X
% 22.76/23.10 W := Y
% 22.76/23.10 end
% 22.76/23.10 substitution1:
% 22.76/23.10 end
% 22.76/23.10
% 22.76/23.10 subsumption: (46024) {G9,W9,D2,L1,V2,M1} R(783,16709) { eqangle( X, Y,
% 22.76/23.10 skol28, skol27, X, Y, skol28, skol27 ) }.
% 22.76/23.10 parent0: (56105) {G2,W9,D2,L1,V2,M1} { eqangle( X, Y, skol28, skol27, X, Y
% 22.76/23.10 , skol28, skol27 ) }.
% 22.76/23.10 substitution0:
% 22.76/23.10 X := X
% 22.76/23.10 Y := Y
% 22.76/23.10 end
% 22.76/23.10 permutation0:
% 22.76/23.10 0 ==> 0
% 22.76/23.10 end
% 22.76/23.10
% 22.76/23.10 resolution: (56106) {G2,W14,D2,L2,V1,M2} { cyclic( X, skol27, skol28,
% 22.76/23.10 skol28 ), ! eqangle( skol28, X, skol28, skol27, skol28, X, skol28, skol27
% 22.76/23.10 ) }.
% 22.76/23.10 parent0[0]: (858) {G1,W18,D2,L3,V4,M3} R(42,19) { ! coll( X, Y, Z ), cyclic
% 22.76/23.10 ( T, Z, X, Y ), ! eqangle( Y, T, Y, Z, X, T, X, Z ) }.
% 22.76/23.10 parent1[0]: (16738) {G10,W4,D2,L1,V0,M1} R(16719,417) { coll( skol28,
% 22.76/23.10 skol28, skol27 ) }.
% 22.76/23.10 substitution0:
% 22.76/23.10 X := skol28
% 22.76/23.10 Y := skol28
% 22.76/23.10 Z := skol27
% 22.76/23.10 T := X
% 22.76/23.10 end
% 22.76/23.10 substitution1:
% 22.76/23.10 end
% 22.76/23.10
% 22.76/23.10 resolution: (56107) {G3,W5,D2,L1,V1,M1} { cyclic( X, skol27, skol28,
% 22.76/23.10 skol28 ) }.
% 22.76/23.10 parent0[1]: (56106) {G2,W14,D2,L2,V1,M2} { cyclic( X, skol27, skol28,
% 22.76/23.10 skol28 ), ! eqangle( skol28, X, skol28, skol27, skol28, X, skol28, skol27
% 22.76/23.10 ) }.
% 22.76/23.10 parent1[0]: (46024) {G9,W9,D2,L1,V2,M1} R(783,16709) { eqangle( X, Y,
% 22.76/23.10 skol28, skol27, X, Y, skol28, skol27 ) }.
% 22.76/23.10 substitution0:
% 22.76/23.10 X := X
% 22.76/23.10 end
% 22.76/23.10 substitution1:
% 22.76/23.10 X := skol28
% 22.76/23.10 Y := X
% 22.76/23.10 end
% 22.76/23.10
% 22.76/23.10 subsumption: (50312) {G11,W5,D2,L1,V1,M1} R(858,16738);r(46024) { cyclic( X
% 22.76/23.10 , skol27, skol28, skol28 ) }.
% 22.76/23.10 parent0: (56107) {G3,W5,D2,L1,V1,M1} { cyclic( X, skol27, skol28, skol28 )
% 22.76/23.10 }.
% 22.76/23.10 substitution0:
% 22.76/23.10 X := X
% 22.76/23.10 end
% 22.76/23.10 permutation0:
% 22.76/23.10 0 ==> 0
% 22.76/23.10 end
% 22.76/23.10
% 22.76/23.10 resolution: (56108) {G2,W5,D2,L1,V1,M1} { cyclic( skol27, X, skol28,
% 22.76/23.10 skol28 ) }.
% 22.76/23.10 parent0[1]: (383) {G1,W10,D2,L2,V4,M2} R(15,13) { cyclic( X, Y, Z, T ), !
% 22.76/23.10 cyclic( Y, X, T, Z ) }.
% 22.76/23.10 parent1[0]: (50312) {G11,W5,D2,L1,V1,M1} R(858,16738);r(46024) { cyclic( X
% 22.76/23.10 , skol27, skol28, skol28 ) }.
% 22.76/23.10 substitution0:
% 22.76/23.10 X := skol27
% 22.76/23.10 Y := X
% 22.76/23.10 Z := skol28
% 22.76/23.10 T := skol28
% 22.76/23.10 end
% 22.76/23.10 substitution1:
% 22.76/23.10 X := X
% 22.76/23.10 end
% 22.76/23.10
% 22.76/23.10 subsumption: (50499) {G12,W5,D2,L1,V1,M1} R(50312,383) { cyclic( skol27, X
% 22.76/23.10 , skol28, skol28 ) }.
% 22.76/23.10 parent0: (56108) {G2,W5,D2,L1,V1,M1} { cyclic( skol27, X, skol28, skol28 )
% 22.76/23.10 }.
% 22.76/23.10 substitution0:
% 22.76/23.10 X := X
% 22.76/23.10 end
% 22.76/23.10 permutation0:
% 22.76/23.10 0 ==> 0
% 22.76/23.10 end
% 22.76/23.10
% 22.76/23.10 resolution: (56109) {G3,W5,D2,L1,V1,M1} { cyclic( skol28, X, skol28,
% 22.76/23.10 skol28 ) }.
% 22.76/23.10 parent0[0]: (411) {G2,W10,D2,L2,V4,M2} F(402) { ! cyclic( X, Y, Z, T ),
% 22.76/23.10 cyclic( Z, Y, T, T ) }.
% 22.76/23.10 parent1[0]: (50499) {G12,W5,D2,L1,V1,M1} R(50312,383) { cyclic( skol27, X,
% 22.76/23.10 skol28, skol28 ) }.
% 22.76/23.10 substitution0:
% 22.76/23.10 X := skol27
% 22.76/23.10 Y := X
% 22.76/23.10 Z := skol28
% 22.76/23.10 T := skol28
% 22.76/23.10 end
% 22.76/23.10 substitution1:
% 22.76/23.10 X := X
% 22.76/23.10 end
% 22.76/23.10
% 22.76/23.10 subsumption: (50511) {G13,W5,D2,L1,V1,M1} R(50499,411) { cyclic( skol28, X
% 22.76/23.10 , skol28, skol28 ) }.
% 22.76/23.10 parent0: (56109) {G3,W5,D2,L1,V1,M1} { cyclic( skol28, X, skol28, skol28 )
% 22.76/23.10 }.
% 22.76/23.10 substitution0:
% 22.76/23.10 X := X
% 22.76/23.10 end
% 22.76/23.10 permutation0:
% 22.76/23.10 0 ==> 0
% 22.76/23.10 end
% 22.76/23.10
% 22.76/23.10 resolution: (56110) {G2,W5,D2,L1,V1,M1} { cyclic( skol28, skol28, X,
% 22.76/23.10 skol28 ) }.
% 22.76/23.10 parent0[1]: (381) {G1,W10,D2,L2,V4,M2} R(15,14) { cyclic( X, Y, Z, T ), !
% 22.76/23.10 cyclic( Y, Z, X, T ) }.
% 22.76/23.10 parent1[0]: (50511) {G13,W5,D2,L1,V1,M1} R(50499,411) { cyclic( skol28, X,
% 22.76/23.10 skol28, skol28 ) }.
% 22.76/23.10 substitution0:
% 22.76/23.10 X := skol28
% 22.76/23.10 Y := skol28
% 22.76/23.10 Z := X
% 22.76/23.10 T := skol28
% 22.76/23.10 end
% 22.76/23.10 substitution1:
% 22.76/23.10 X := X
% 22.76/23.10 end
% 22.76/23.10
% 22.76/23.10 subsumption: (50533) {G14,W5,D2,L1,V1,M1} R(50511,381) { cyclic( skol28,
% 22.76/23.10 skol28, X, skol28 ) }.
% 22.76/23.10 parent0: (56110) {G2,W5,D2,L1,V1,M1} { cyclic( skol28, skol28, X, skol28 )
% 22.76/23.10 }.
% 22.76/23.10 substitution0:
% 22.76/23.10 X := X
% 22.76/23.10 end
% 22.76/23.10 permutation0:
% 22.76/23.10 0 ==> 0
% 22.76/23.10 end
% 22.76/23.10
% 22.76/23.10 resolution: (56111) {G2,W5,D2,L1,V1,M1} { cyclic( skol28, skol28, skol28,
% 22.76/23.10 X ) }.
% 22.76/23.10 parent0[0]: (365) {G1,W10,D2,L2,V4,M2} R(14,13) { ! cyclic( X, Y, Z, T ),
% 22.76/23.10 cyclic( X, Z, T, Y ) }.
% 22.76/23.10 parent1[0]: (50511) {G13,W5,D2,L1,V1,M1} R(50499,411) { cyclic( skol28, X,
% 22.76/23.10 skol28, skol28 ) }.
% 22.76/23.10 substitution0:
% 22.76/23.10 X := skol28
% 22.76/23.10 Y := X
% 22.76/23.10 Z := skol28
% 22.76/23.10 T := skol28
% 22.76/23.10 end
% 22.76/23.10 substitution1:
% 22.76/23.10 X := X
% 22.76/23.10 end
% 22.76/23.10
% 22.76/23.10 subsumption: (50534) {G14,W5,D2,L1,V1,M1} R(50511,365) { cyclic( skol28,
% 22.76/23.10 skol28, skol28, X ) }.
% 22.76/23.10 parent0: (56111) {G2,W5,D2,L1,V1,M1} { cyclic( skol28, skol28, skol28, X )
% 22.76/23.10 }.
% 22.76/23.10 substitution0:
% 22.76/23.10 X := X
% 22.76/23.10 end
% 22.76/23.10 permutation0:
% 22.76/23.10 0 ==> 0
% 22.76/23.10 end
% 22.76/23.10
% 22.76/23.10 resolution: (56113) {G2,W10,D2,L2,V2,M2} { ! cyclic( skol28, skol28,
% 22.76/23.10 skol28, X ), cyclic( skol28, skol28, X, Y ) }.
% 22.76/23.10 parent0[2]: (407) {G1,W15,D2,L3,V5,M3} R(16,13) { ! cyclic( X, Y, Z, T ),
% 22.76/23.10 cyclic( Y, Z, T, U ), ! cyclic( X, Y, U, Z ) }.
% 22.76/23.10 parent1[0]: (50533) {G14,W5,D2,L1,V1,M1} R(50511,381) { cyclic( skol28,
% 22.76/23.10 skol28, X, skol28 ) }.
% 22.76/23.10 substitution0:
% 22.76/23.10 X := skol28
% 22.76/23.10 Y := skol28
% 22.76/23.10 Z := skol28
% 22.76/23.10 T := X
% 22.76/23.10 U := Y
% 22.76/23.10 end
% 22.76/23.10 substitution1:
% 22.76/23.10 X := Y
% 22.76/23.10 end
% 22.76/23.10
% 22.76/23.10 resolution: (56114) {G3,W5,D2,L1,V2,M1} { cyclic( skol28, skol28, X, Y )
% 22.76/23.10 }.
% 22.76/23.10 parent0[0]: (56113) {G2,W10,D2,L2,V2,M2} { ! cyclic( skol28, skol28,
% 22.76/23.10 skol28, X ), cyclic( skol28, skol28, X, Y ) }.
% 22.76/23.10 parent1[0]: (50534) {G14,W5,D2,L1,V1,M1} R(50511,365) { cyclic( skol28,
% 22.76/23.10 skol28, skol28, X ) }.
% 22.76/23.10 substitution0:
% 22.76/23.10 X := X
% 22.76/23.10 Y := Y
% 22.76/23.10 end
% 22.76/23.10 substitution1:
% 22.76/23.10 X := X
% 22.76/23.10 end
% 22.76/23.10
% 22.76/23.10 subsumption: (50539) {G15,W5,D2,L1,V2,M1} R(50533,407);r(50534) { cyclic(
% 22.76/23.10 skol28, skol28, X, Y ) }.
% 22.76/23.10 parent0: (56114) {G3,W5,D2,L1,V2,M1} { cyclic( skol28, skol28, X, Y ) }.
% 22.76/23.10 substitution0:
% 22.76/23.10 X := X
% 22.76/23.10 Y := Y
% 22.76/23.10 end
% 22.76/23.10 permutation0:
% 22.76/23.10 0 ==> 0
% 22.76/23.10 end
% 22.76/23.10
% 22.76/23.10 resolution: (56115) {G2,W10,D2,L2,V3,M2} { cyclic( skol28, X, Y, Z ), !
% 22.76/23.10 cyclic( skol28, skol28, Z, X ) }.
% 22.76/23.10 parent0[0]: (407) {G1,W15,D2,L3,V5,M3} R(16,13) { ! cyclic( X, Y, Z, T ),
% 22.76/23.10 cyclic( Y, Z, T, U ), ! cyclic( X, Y, U, Z ) }.
% 22.76/23.10 parent1[0]: (50539) {G15,W5,D2,L1,V2,M1} R(50533,407);r(50534) { cyclic(
% 22.76/23.10 skol28, skol28, X, Y ) }.
% 22.76/23.10 substitution0:
% 22.76/23.10 X := skol28
% 22.76/23.10 Y := skol28
% 22.76/23.10 Z := X
% 22.76/23.10 T := Y
% 22.76/23.10 U := Z
% 22.76/23.10 end
% 22.76/23.10 substitution1:
% 22.76/23.10 X := X
% 22.76/23.10 Y := Y
% 22.76/23.10 end
% 22.76/23.10
% 22.76/23.10 resolution: (56117) {G3,W5,D2,L1,V3,M1} { cyclic( skol28, X, Y, Z ) }.
% 22.76/23.10 parent0[1]: (56115) {G2,W10,D2,L2,V3,M2} { cyclic( skol28, X, Y, Z ), !
% 22.76/23.10 cyclic( skol28, skol28, Z, X ) }.
% 22.76/23.10 parent1[0]: (50539) {G15,W5,D2,L1,V2,M1} R(50533,407);r(50534) { cyclic(
% 22.76/23.10 skol28, skol28, X, Y ) }.
% 22.76/23.10 substitution0:
% 22.76/23.10 X := X
% 22.76/23.10 Y := Y
% 22.76/23.10 Z := Z
% 22.76/23.10 end
% 22.76/23.10 substitution1:
% 22.76/23.10 X := Z
% 22.76/23.10 Y := X
% 22.76/23.10 end
% 22.76/23.10
% 22.76/23.10 subsumption: (50845) {G16,W5,D2,L1,V3,M1} R(50539,407);r(50539) { cyclic(
% 22.76/23.10 skol28, X, Y, Z ) }.
% 22.76/23.10 parent0: (56117) {G3,W5,D2,L1,V3,M1} { cyclic( skol28, X, Y, Z ) }.
% 22.76/23.10 substitution0:
% 22.76/23.10 X := X
% 22.76/23.10 Y := Y
% 22.76/23.10 Z := Z
% 22.76/23.10 end
% 22.76/23.10 permutation0:
% 22.76/23.10 0 ==> 0
% 22.76/23.10 end
% 22.76/23.10
% 22.76/23.10 resolution: (56118) {G2,W10,D2,L2,V4,M2} { cyclic( X, Y, Z, T ), ! cyclic
% 22.76/23.10 ( skol28, X, T, Y ) }.
% 22.76/23.10 parent0[0]: (407) {G1,W15,D2,L3,V5,M3} R(16,13) { ! cyclic( X, Y, Z, T ),
% 22.76/23.10 cyclic( Y, Z, T, U ), ! cyclic( X, Y, U, Z ) }.
% 22.76/23.10 parent1[0]: (50845) {G16,W5,D2,L1,V3,M1} R(50539,407);r(50539) { cyclic(
% 22.76/23.10 skol28, X, Y, Z ) }.
% 22.76/23.10 substitution0:
% 22.76/23.10 X := skol28
% 22.76/23.10 Y := X
% 22.76/23.10 Z := Y
% 22.76/23.10 T := Z
% 22.76/23.10 U := T
% 22.76/23.10 end
% 22.76/23.10 substitution1:
% 22.76/23.10 X := X
% 22.76/23.10 Y := Y
% 22.76/23.10 Z := Z
% 22.76/23.10 end
% 22.76/23.10
% 22.76/23.10 resolution: (56120) {G3,W5,D2,L1,V4,M1} { cyclic( X, Y, Z, T ) }.
% 22.76/23.10 parent0[1]: (56118) {G2,W10,D2,L2,V4,M2} { cyclic( X, Y, Z, T ), ! cyclic
% 22.76/23.10 ( skol28, X, T, Y ) }.
% 22.76/23.10 parent1[0]: (50845) {G16,W5,D2,L1,V3,M1} R(50539,407);r(50539) { cyclic(
% 22.76/23.10 skol28, X, Y, Z ) }.
% 22.76/23.10 substitution0:
% 22.76/23.10 X := X
% 22.76/23.10 Y := Y
% 22.76/23.10 Z := Z
% 22.76/23.10 T := T
% 22.76/23.10 end
% 22.76/23.10 substitution1:
% 22.76/23.10 X := X
% 22.76/23.10 Y := T
% 22.76/23.10 Z := Y
% 22.76/23.10 end
% 22.76/23.10
% 22.76/23.10 subsumption: (50864) {G17,W5,D2,L1,V4,M1} R(50845,407);r(50845) { cyclic( X
% 22.76/23.10 , Y, Z, T ) }.
% 22.76/23.10 parent0: (56120) {G3,W5,D2,L1,V4,M1} { cyclic( X, Y, Z, T ) }.
% 22.76/23.10 substitution0:
% 22.76/23.10 X := X
% 22.76/23.10 Y := Y
% 22.76/23.10 Z := Z
% 22.76/23.10 T := T
% 22.76/23.10 end
% 22.76/23.10 permutation0:
% 22.76/23.10 0 ==> 0
% 22.76/23.10 end
% 22.76/23.10
% 22.76/23.10 resolution: (56123) {G3,W10,D2,L2,V3,M2} { ! cyclic( X, Y, Z, Y ), cong( X
% 22.76/23.10 , Y, X, Y ) }.
% 22.76/23.10 parent0[0]: (964) {G2,W15,D2,L3,V3,M3} F(932) { ! cyclic( X, Y, Z, X ), !
% 22.76/23.10 cyclic( X, Y, Z, Y ), cong( X, Y, X, Y ) }.
% 22.76/23.10 parent1[0]: (50864) {G17,W5,D2,L1,V4,M1} R(50845,407);r(50845) { cyclic( X
% 22.76/23.10 , Y, Z, T ) }.
% 22.76/23.10 substitution0:
% 22.76/23.10 X := X
% 22.76/23.10 Y := Y
% 22.76/23.10 Z := Z
% 22.76/23.10 end
% 22.76/23.10 substitution1:
% 22.76/23.10 X := X
% 22.76/23.10 Y := Y
% 22.76/23.10 Z := Z
% 22.76/23.10 T := X
% 22.76/23.10 end
% 22.76/23.10
% 22.76/23.10 resolution: (56125) {G4,W5,D2,L1,V2,M1} { cong( X, Y, X, Y ) }.
% 22.76/23.10 parent0[0]: (56123) {G3,W10,D2,L2,V3,M2} { ! cyclic( X, Y, Z, Y ), cong( X
% 22.76/23.10 , Y, X, Y ) }.
% 22.76/23.10 parent1[0]: (50864) {G17,W5,D2,L1,V4,M1} R(50845,407);r(50845) { cyclic( X
% 22.76/23.10 , Y, Z, T ) }.
% 22.76/23.10 substitution0:
% 22.76/23.10 X := X
% 22.76/23.10 Y := Y
% 22.76/23.10 Z := Z
% 22.76/23.10 end
% 22.76/23.10 substitution1:
% 22.76/23.10 X := X
% 22.76/23.10 Y := Y
% 22.76/23.10 Z := Z
% 22.76/23.10 T := Y
% 22.76/23.10 end
% 22.76/23.10
% 22.76/23.10 subsumption: (55283) {G18,W5,D2,L1,V2,M1} S(964);r(50864);r(50864) { cong(
% 22.76/23.10 X, Y, X, Y ) }.
% 22.76/23.10 parent0: (56125) {G4,W5,D2,L1,V2,M1} { cong( X, Y, X, Y ) }.
% 22.76/23.10 substitution0:
% 22.76/23.10 X := X
% 22.76/23.10 Y := Y
% 22.76/23.10 end
% 22.76/23.10 permutation0:
% 22.76/23.10 0 ==> 0
% 22.76/23.10 end
% 22.76/23.10
% 22.76/23.10 resolution: (56126) {G1,W10,D2,L2,V3,M2} { ! cong( X, Z, X, Z ), perp( X,
% 22.76/23.10 X, Y, Z ) }.
% 22.76/23.10 parent0[0]: (56) {G0,W15,D2,L3,V4,M3} I { ! cong( X, Z, Y, Z ), ! cong( X,
% 22.76/23.10 T, Y, T ), perp( X, Y, Z, T ) }.
% 22.76/23.10 parent1[0]: (55283) {G18,W5,D2,L1,V2,M1} S(964);r(50864);r(50864) { cong( X
% 22.76/23.10 , Y, X, Y ) }.
% 22.76/23.10 substitution0:
% 22.76/23.10 X := X
% 22.76/23.10 Y := X
% 22.76/23.10 Z := Y
% 22.76/23.10 T := Z
% 22.76/23.10 end
% 22.76/23.10 substitution1:
% 22.76/23.10 X := X
% 22.76/23.10 Y := Y
% 22.76/23.10 end
% 22.76/23.10
% 22.76/23.10 resolution: (56128) {G2,W5,D2,L1,V3,M1} { perp( X, X, Z, Y ) }.
% 22.76/23.10 parent0[0]: (56126) {G1,W10,D2,L2,V3,M2} { ! cong( X, Z, X, Z ), perp( X,
% 22.76/23.10 X, Y, Z ) }.
% 22.76/23.10 parent1[0]: (55283) {G18,W5,D2,L1,V2,M1} S(964);r(50864);r(50864) { cong( X
% 22.76/23.10 , Y, X, Y ) }.
% 22.76/23.10 substitution0:
% 22.76/23.10 X := X
% 22.76/23.10 Y := Z
% 22.76/23.10 Z := Y
% 22.76/23.10 end
% 22.76/23.10 substitution1:
% 22.76/23.10 X := X
% 22.76/23.10 Y := Y
% 22.76/23.10 end
% 22.76/23.10
% 22.76/23.10 subsumption: (55300) {G19,W5,D2,L1,V3,M1} R(55283,56);r(55283) { perp( X, X
% 22.76/23.10 , Z, Y ) }.
% 22.76/23.10 parent0: (56128) {G2,W5,D2,L1,V3,M1} { perp( X, X, Z, Y ) }.
% 22.76/23.10 substitution0:
% 22.76/23.10 X := X
% 22.76/23.10 Y := Y
% 22.76/23.10 Z := Z
% 22.76/23.10 end
% 22.76/23.10 permutation0:
% 22.76/23.10 0 ==> 0
% 22.76/23.10 end
% 22.76/23.10
% 22.76/23.10 resolution: (56129) {G2,W10,D2,L2,V5,M2} { para( T, U, Y, Z ), ! perp( X,
% 22.76/23.10 X, T, U ) }.
% 22.76/23.10 parent0[0]: (277) {G1,W15,D2,L3,V6,M3} R(8,7) { ! perp( X, Y, Z, T ), para
% 22.76/23.10 ( U, W, Z, T ), ! perp( X, Y, U, W ) }.
% 22.76/23.10 parent1[0]: (55300) {G19,W5,D2,L1,V3,M1} R(55283,56);r(55283) { perp( X, X
% 22.76/23.10 , Z, Y ) }.
% 22.76/23.10 substitution0:
% 22.76/23.10 X := X
% 22.76/23.10 Y := X
% 22.76/23.10 Z := Y
% 22.76/23.10 T := Z
% 22.76/23.10 U := T
% 22.76/23.10 W := U
% 22.76/23.10 end
% 22.76/23.10 substitution1:
% 22.76/23.10 X := X
% 22.76/23.10 Y := Z
% 22.76/23.10 Z := Y
% 22.76/23.10 end
% 22.76/23.10
% 22.76/23.10 resolution: (56131) {G3,W5,D2,L1,V4,M1} { para( X, Y, Z, T ) }.
% 22.76/23.10 parent0[1]: (56129) {G2,W10,D2,L2,V5,M2} { para( T, U, Y, Z ), ! perp( X,
% 22.76/23.10 X, T, U ) }.
% 22.76/23.10 parent1[0]: (55300) {G19,W5,D2,L1,V3,M1} R(55283,56);r(55283) { perp( X, X
% 22.76/23.10 , Z, Y ) }.
% 22.76/23.10 substitution0:
% 22.76/23.10 X := U
% 22.76/23.10 Y := Z
% 22.76/23.10 Z := T
% 22.76/23.10 T := X
% 22.76/23.10 U := Y
% 22.76/23.10 end
% 22.76/23.10 substitution1:
% 22.76/23.10 X := U
% 22.76/23.10 Y := Y
% 22.76/23.10 Z := X
% 22.76/23.10 end
% 22.76/23.10
% 22.76/23.10 subsumption: (55333) {G20,W5,D2,L1,V4,M1} R(55300,277);r(55300) { para( X,
% 22.76/23.10 Y, Z, T ) }.
% 22.76/23.10 parent0: (56131) {G3,W5,D2,L1,V4,M1} { para( X, Y, Z, T ) }.
% 22.76/23.10 substitution0:
% 22.76/23.10 X := X
% 22.76/23.10 Y := Y
% 22.76/23.10 Z := Z
% 22.76/23.10 T := T
% 22.76/23.10 end
% 22.76/23.10 permutation0:
% 22.76/23.10 0 ==> 0
% 22.76/23.10 end
% 22.76/23.10
% 22.76/23.10 resolution: (56132) {G2,W9,D2,L1,V6,M1} { eqangle( X, Y, Z, T, U, W, Z, T
% 22.76/23.10 ) }.
% 22.76/23.10 parent0[1]: (787) {G1,W14,D2,L2,V6,M2} R(39,3) { eqangle( X, Y, Z, T, U, W
% 22.76/23.10 , Z, T ), ! para( X, Y, W, U ) }.
% 22.76/23.10 parent1[0]: (55333) {G20,W5,D2,L1,V4,M1} R(55300,277);r(55300) { para( X, Y
% 22.76/23.10 , Z, T ) }.
% 22.76/23.10 substitution0:
% 22.76/23.10 X := X
% 22.76/23.10 Y := Y
% 22.76/23.10 Z := Z
% 22.76/23.10 T := T
% 22.76/23.10 U := U
% 22.76/23.10 W := W
% 22.76/23.10 end
% 22.76/23.10 substitution1:
% 22.76/23.10 X := X
% 22.76/23.10 Y := Y
% 22.76/23.10 Z := W
% 22.76/23.10 T := U
% 22.76/23.10 end
% 22.76/23.10
% 22.76/23.10 subsumption: (55431) {G21,W9,D2,L1,V6,M1} R(55333,787) { eqangle( X, Y, Z,
% 22.76/23.10 T, U, W, Z, T ) }.
% 22.76/23.10 parent0: (56132) {G2,W9,D2,L1,V6,M1} { eqangle( X, Y, Z, T, U, W, Z, T )
% 22.76/23.10 }.
% 22.76/23.10 substitution0:
% 22.76/23.10 X := X
% 22.76/23.10 Y := Y
% 22.76/23.10 Z := Z
% 22.76/23.10 T := T
% 22.76/23.10 U := U
% 22.76/23.10 W := W
% 22.76/23.10 end
% 22.76/23.10 permutation0:
% 22.76/23.10 0 ==> 0
% 22.76/23.10 end
% 22.76/23.10
% 22.76/23.10 resolution: (56133) {G2,W9,D2,L1,V6,M1} { eqangle( Z, T, Z, T, X, Y, U, W
% 22.76/23.10 ) }.
% 22.76/23.10 parent0[0]: (455) {G1,W18,D2,L2,V8,M2} R(20,19) { ! eqangle( X, Y, Z, T, U
% 22.76/23.10 , W, V0, V1 ), eqangle( Z, T, V0, V1, X, Y, U, W ) }.
% 22.76/23.10 parent1[0]: (55431) {G21,W9,D2,L1,V6,M1} R(55333,787) { eqangle( X, Y, Z, T
% 22.76/23.10 , U, W, Z, T ) }.
% 22.76/23.10 substitution0:
% 22.76/23.10 X := X
% 22.76/23.10 Y := Y
% 22.76/23.10 Z := Z
% 22.76/23.10 T := T
% 22.76/23.10 U := U
% 22.76/23.10 W := W
% 22.76/23.10 V0 := Z
% 22.76/23.10 V1 := T
% 22.76/23.10 end
% 22.76/23.10 substitution1:
% 22.76/23.10 X := X
% 22.76/23.10 Y := Y
% 22.76/23.10 Z := Z
% 22.76/23.10 T := T
% 22.76/23.10 U := U
% 22.76/23.10 W := W
% 22.76/23.10 end
% 22.76/23.10
% 22.76/23.10 subsumption: (55619) {G22,W9,D2,L1,V6,M1} R(55431,455) { eqangle( X, Y, X,
% 22.76/23.10 Y, Z, T, U, W ) }.
% 22.76/23.10 parent0: (56133) {G2,W9,D2,L1,V6,M1} { eqangle( Z, T, Z, T, X, Y, U, W )
% 22.76/23.10 }.
% 22.76/23.10 substitution0:
% 22.76/23.10 X := Z
% 22.76/23.10 Y := T
% 22.76/23.10 Z := X
% 22.76/23.10 T := Y
% 22.76/23.10 U := U
% 22.76/23.10 W := W
% 22.76/23.10 end
% 22.76/23.10 permutation0:
% 22.76/23.10 0 ==> 0
% 22.76/23.10 end
% 22.76/23.10
% 22.76/23.10 resolution: (56134) {G2,W14,D2,L2,V8,M2} { ! para( X, Y, Z, T ), eqangle(
% 22.76/23.10 X, Y, Z, T, U, W, V0, V1 ) }.
% 22.76/23.10 parent0[1]: (779) {G1,W23,D2,L3,V10,M3} R(39,21) { ! para( X, Y, Z, T ), !
% 22.76/23.10 eqangle( Z, T, U, W, V0, V1, V2, V3 ), eqangle( X, Y, U, W, V0, V1, V2,
% 22.76/23.10 V3 ) }.
% 22.76/23.10 parent1[0]: (55619) {G22,W9,D2,L1,V6,M1} R(55431,455) { eqangle( X, Y, X, Y
% 22.76/23.10 , Z, T, U, W ) }.
% 22.76/23.10 substitution0:
% 22.76/23.10 X := X
% 22.76/23.10 Y := Y
% 22.76/23.10 Z := Z
% 22.76/23.10 T := T
% 22.76/23.10 U := Z
% 22.76/23.10 W := T
% 22.76/23.10 V0 := U
% 22.76/23.10 V1 := W
% 22.76/23.10 V2 := V0
% 22.76/23.10 V3 := V1
% 22.76/23.10 end
% 22.76/23.10 substitution1:
% 22.76/23.10 X := Z
% 22.76/23.10 Y := T
% 22.76/23.10 Z := U
% 22.76/23.10 T := W
% 22.76/23.10 U := V0
% 22.76/23.10 W := V1
% 22.76/23.10 end
% 22.76/23.10
% 22.76/23.10 resolution: (56135) {G3,W9,D2,L1,V8,M1} { eqangle( X, Y, Z, T, U, W, V0,
% 22.76/23.10 V1 ) }.
% 22.76/23.10 parent0[0]: (56134) {G2,W14,D2,L2,V8,M2} { ! para( X, Y, Z, T ), eqangle(
% 22.76/23.10 X, Y, Z, T, U, W, V0, V1 ) }.
% 22.76/23.10 parent1[0]: (55333) {G20,W5,D2,L1,V4,M1} R(55300,277);r(55300) { para( X, Y
% 22.76/23.10 , Z, T ) }.
% 22.76/23.10 substitution0:
% 22.76/23.10 X := X
% 22.76/23.10 Y := Y
% 22.76/23.10 Z := Z
% 22.76/23.10 T := T
% 22.76/23.10 U := U
% 22.76/23.10 W := W
% 22.76/23.10 V0 := V0
% 22.76/23.10 V1 := V1
% 22.76/23.10 end
% 22.76/23.10 substitution1:
% 22.76/23.10 X := X
% 22.76/23.10 Y := Y
% 22.76/23.10 Z := Z
% 22.76/23.10 T := T
% 22.76/23.10 end
% 22.76/23.10
% 22.76/23.10 subsumption: (55621) {G23,W9,D2,L1,V8,M1} R(55619,779);r(55333) { eqangle(
% 22.76/23.10 X, Y, Z, T, U, W, V0, V1 ) }.
% 22.76/23.10 parent0: (56135) {G3,W9,D2,L1,V8,M1} { eqangle( X, Y, Z, T, U, W, V0, V1 )
% 22.76/23.10 }.
% 22.76/23.10 substitution0:
% 22.76/23.10 X := X
% 22.76/23.10 Y := Y
% 22.76/23.10 Z := Z
% 22.76/23.10 T := T
% 22.76/23.10 U := U
% 22.76/23.10 W := W
% 22.76/23.10 V0 := V0
% 22.76/23.10 V1 := V1
% 22.76/23.10 end
% 22.76/23.10 permutation0:
% 22.76/23.10 0 ==> 0
% 22.76/23.10 end
% 22.76/23.10
% 22.76/23.10 resolution: (56136) {G1,W0,D0,L0,V0,M0} { }.
% 22.76/23.10 parent0[0]: (127) {G0,W9,D2,L1,V0,M1} I { ! eqangle( skol23, skol22, skol22
% 22.76/23.10 , skol20, skol20, skol22, skol22, skol24 ) }.
% 22.76/23.10 parent1[0]: (55621) {G23,W9,D2,L1,V8,M1} R(55619,779);r(55333) { eqangle( X
% 22.76/23.10 , Y, Z, T, U, W, V0, V1 ) }.
% 22.76/23.10 substitution0:
% 22.76/23.10 end
% 22.76/23.10 substitution1:
% 22.76/23.10 X := skol23
% 22.76/23.10 Y := skol22
% 22.76/23.10 Z := skol22
% 22.76/23.10 T := skol20
% 22.76/23.10 U := skol20
% 22.76/23.10 W := skol22
% 22.76/23.10 V0 := skol22
% 22.76/23.10 V1 := skol24
% 22.76/23.10 end
% 22.76/23.10
% 22.76/23.10 subsumption: (55622) {G24,W0,D0,L0,V0,M0} R(55621,127) { }.
% 22.76/23.10 parent0: (56136) {G1,W0,D0,L0,V0,M0} { }.
% 22.76/23.10 substitution0:
% 22.76/23.10 end
% 22.76/23.10 permutation0:
% 22.76/23.10 end
% 22.76/23.10
% 22.76/23.10 Proof check complete!
% 22.76/23.10
% 22.76/23.10 Memory use:
% 22.76/23.10
% 22.76/23.10 space for terms: 773490
% 22.76/23.10 space for clauses: 2444786
% 22.76/23.10
% 22.76/23.10
% 22.76/23.10 clauses generated: 471612
% 22.76/23.10 clauses kept: 55623
% 22.76/23.10 clauses selected: 3155
% 22.76/23.10 clauses deleted: 12151
% 22.76/23.10 clauses inuse deleted: 314
% 22.76/23.10
% 22.76/23.10 subsentry: 23613855
% 22.76/23.10 literals s-matched: 15000986
% 22.76/23.10 literals matched: 8837557
% 22.76/23.10 full subsumption: 2884256
% 22.76/23.10
% 22.76/23.10 checksum: -1498638155
% 22.76/23.10
% 22.76/23.10
% 22.76/23.10 Bliksem ended
%------------------------------------------------------------------------------