TSTP Solution File: GEO573+1 by Bliksem---1.12
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : GEO573+1 : TPTP v8.1.0. Released v7.5.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n010.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 0s
% DateTime : Sat Jul 16 02:54:49 EDT 2022
% Result : Theorem 12.86s 13.24s
% Output : Refutation 12.86s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : GEO573+1 : TPTP v8.1.0. Released v7.5.0.
% 0.07/0.13 % Command : bliksem %s
% 0.13/0.34 % Computer : n010.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % DateTime : Sat Jun 18 07:02:23 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.74/1.13 *** allocated 10000 integers for termspace/termends
% 0.74/1.13 *** allocated 10000 integers for clauses
% 0.74/1.13 *** allocated 10000 integers for justifications
% 0.74/1.13 Bliksem 1.12
% 0.74/1.13
% 0.74/1.13
% 0.74/1.13 Automatic Strategy Selection
% 0.74/1.13
% 0.74/1.13 *** allocated 15000 integers for termspace/termends
% 0.74/1.13
% 0.74/1.13 Clauses:
% 0.74/1.13
% 0.74/1.13 { ! coll( X, Y, Z ), coll( X, Z, Y ) }.
% 0.74/1.13 { ! coll( X, Y, Z ), coll( Y, X, Z ) }.
% 0.74/1.13 { ! coll( X, T, Y ), ! coll( X, T, Z ), coll( Y, Z, X ) }.
% 0.74/1.13 { ! para( X, Y, Z, T ), para( X, Y, T, Z ) }.
% 0.74/1.13 { ! para( X, Y, Z, T ), para( Z, T, X, Y ) }.
% 0.74/1.13 { ! para( X, Y, U, W ), ! para( U, W, Z, T ), para( X, Y, Z, T ) }.
% 0.74/1.13 { ! perp( X, Y, Z, T ), perp( X, Y, T, Z ) }.
% 0.74/1.13 { ! perp( X, Y, Z, T ), perp( Z, T, X, Y ) }.
% 0.74/1.13 { ! perp( X, Y, U, W ), ! perp( U, W, Z, T ), para( X, Y, Z, T ) }.
% 0.74/1.13 { ! para( X, Y, U, W ), ! perp( U, W, Z, T ), perp( X, Y, Z, T ) }.
% 0.74/1.13 { ! midp( Z, Y, X ), midp( Z, X, Y ) }.
% 0.74/1.13 { ! cong( T, X, T, Y ), ! cong( T, X, T, Z ), circle( T, X, Y, Z ) }.
% 0.74/1.13 { ! cong( U, X, U, Y ), ! cong( U, X, U, Z ), ! cong( U, X, U, T ), cyclic
% 0.74/1.13 ( X, Y, Z, T ) }.
% 0.74/1.13 { ! cyclic( X, Y, Z, T ), cyclic( X, Y, T, Z ) }.
% 0.74/1.13 { ! cyclic( X, Y, Z, T ), cyclic( X, Z, Y, T ) }.
% 0.74/1.13 { ! cyclic( X, Y, Z, T ), cyclic( Y, X, Z, T ) }.
% 0.74/1.13 { ! cyclic( U, X, Y, Z ), ! cyclic( U, X, Y, T ), cyclic( X, Y, Z, T ) }.
% 0.74/1.13 { ! eqangle( X, Y, Z, T, U, W, V0, V1 ), eqangle( Y, X, Z, T, U, W, V0, V1
% 0.74/1.13 ) }.
% 0.74/1.13 { ! eqangle( X, Y, Z, T, U, W, V0, V1 ), eqangle( Z, T, X, Y, V0, V1, U, W
% 0.74/1.13 ) }.
% 0.74/1.13 { ! eqangle( X, Y, Z, T, U, W, V0, V1 ), eqangle( U, W, V0, V1, X, Y, Z, T
% 0.74/1.13 ) }.
% 0.74/1.13 { ! eqangle( X, Y, Z, T, U, W, V0, V1 ), eqangle( X, Y, U, W, Z, T, V0, V1
% 0.74/1.13 ) }.
% 0.74/1.13 { ! eqangle( X, Y, Z, T, V2, V3, V4, V5 ), ! eqangle( V2, V3, V4, V5, U, W
% 0.74/1.13 , V0, V1 ), eqangle( X, Y, Z, T, U, W, V0, V1 ) }.
% 0.74/1.13 { ! cong( X, Y, Z, T ), cong( X, Y, T, Z ) }.
% 0.74/1.13 { ! cong( X, Y, Z, T ), cong( Z, T, X, Y ) }.
% 0.74/1.13 { ! cong( X, Y, U, W ), ! cong( U, W, Z, T ), cong( X, Y, Z, T ) }.
% 0.74/1.13 { ! eqratio( X, Y, Z, T, U, W, V0, V1 ), eqratio( Y, X, Z, T, U, W, V0, V1
% 0.74/1.13 ) }.
% 0.74/1.13 { ! eqratio( X, Y, Z, T, U, W, V0, V1 ), eqratio( Z, T, X, Y, V0, V1, U, W
% 0.74/1.13 ) }.
% 0.74/1.13 { ! eqratio( X, Y, Z, T, U, W, V0, V1 ), eqratio( U, W, V0, V1, X, Y, Z, T
% 0.74/1.13 ) }.
% 0.74/1.13 { ! eqratio( X, Y, Z, T, U, W, V0, V1 ), eqratio( X, Y, U, W, Z, T, V0, V1
% 0.74/1.13 ) }.
% 0.74/1.13 { ! eqratio( X, Y, Z, T, V2, V3, V4, V5 ), ! eqratio( V2, V3, V4, V5, U, W
% 0.74/1.13 , V0, V1 ), eqratio( X, Y, Z, T, U, W, V0, V1 ) }.
% 0.74/1.13 { ! simtri( X, Z, Y, T, W, U ), simtri( X, Y, Z, T, U, W ) }.
% 0.74/1.13 { ! simtri( Y, X, Z, U, T, W ), simtri( X, Y, Z, T, U, W ) }.
% 0.74/1.13 { ! simtri( T, U, W, X, Y, Z ), simtri( X, Y, Z, T, U, W ) }.
% 0.74/1.13 { ! simtri( X, Y, Z, V0, V1, V2 ), ! simtri( V0, V1, V2, T, U, W ), simtri
% 0.74/1.13 ( X, Y, Z, T, U, W ) }.
% 0.74/1.13 { ! contri( X, Z, Y, T, W, U ), contri( X, Y, Z, T, U, W ) }.
% 0.74/1.13 { ! contri( Y, X, Z, U, T, W ), contri( X, Y, Z, T, U, W ) }.
% 0.74/1.13 { ! contri( T, U, W, X, Y, Z ), contri( X, Y, Z, T, U, W ) }.
% 0.74/1.13 { ! contri( X, Y, Z, V0, V1, V2 ), ! contri( V0, V1, V2, T, U, W ), contri
% 0.74/1.13 ( X, Y, Z, T, U, W ) }.
% 0.74/1.13 { ! eqangle( X, Y, U, W, Z, T, U, W ), para( X, Y, Z, T ) }.
% 0.74/1.13 { ! para( X, Y, Z, T ), eqangle( X, Y, U, W, Z, T, U, W ) }.
% 0.74/1.13 { ! cyclic( X, Y, Z, T ), eqangle( Z, X, Z, Y, T, X, T, Y ) }.
% 0.74/1.13 { ! eqangle( Z, X, Z, Y, T, X, T, Y ), coll( Z, T, X ), cyclic( X, Y, Z, T
% 0.74/1.13 ) }.
% 0.74/1.13 { ! eqangle( Z, X, Z, Y, T, X, T, Y ), ! coll( Z, T, Y ), cyclic( X, Y, Z,
% 0.74/1.13 T ) }.
% 0.74/1.13 { ! cyclic( X, Y, U, Z ), ! cyclic( X, Y, U, T ), ! cyclic( X, Y, U, W ), !
% 0.74/1.13 eqangle( U, X, U, Y, W, Z, W, T ), cong( X, Y, Z, T ) }.
% 0.74/1.13 { ! midp( Z, U, X ), ! midp( T, U, Y ), para( Z, T, X, Y ) }.
% 0.74/1.13 { ! midp( U, X, T ), ! para( U, Z, T, Y ), ! coll( Z, X, Y ), midp( Z, X, Y
% 0.74/1.13 ) }.
% 0.74/1.13 { ! cong( Z, X, Z, Y ), eqangle( Z, X, X, Y, X, Y, Z, Y ) }.
% 0.74/1.13 { ! eqangle( Z, X, X, Y, X, Y, Z, Y ), coll( Z, X, Y ), cong( Z, X, Z, Y )
% 0.74/1.13 }.
% 0.74/1.13 { ! circle( U, X, Y, Z ), ! perp( U, X, X, T ), eqangle( X, T, X, Y, Z, X,
% 0.74/1.13 Z, Y ) }.
% 0.74/1.13 { ! circle( Y, X, T, U ), ! eqangle( X, Z, X, T, U, X, U, T ), perp( Y, X,
% 0.74/1.13 X, Z ) }.
% 0.74/1.13 { ! circle( T, X, Y, Z ), ! midp( U, Y, Z ), eqangle( X, Y, X, Z, T, Y, T,
% 0.74/1.13 U ) }.
% 0.74/1.13 { ! circle( U, T, X, Y ), ! coll( Z, X, Y ), ! eqangle( T, X, T, Y, U, X, U
% 0.74/1.13 , Z ), midp( Z, X, Y ) }.
% 0.74/1.13 { ! perp( X, Y, Y, T ), ! midp( Z, X, T ), cong( X, Z, Y, Z ) }.
% 0.74/1.13 { ! circle( T, X, Y, Z ), ! coll( T, X, Z ), perp( X, Y, Y, Z ) }.
% 0.74/1.13 { ! cyclic( X, Y, Z, T ), ! para( X, Y, Z, T ), eqangle( X, T, Z, T, Z, T,
% 0.74/1.13 Z, Y ) }.
% 0.74/1.13 { ! midp( T, X, Y ), ! perp( Z, T, X, Y ), cong( Z, X, Z, Y ) }.
% 0.74/1.13 { ! cong( X, Z, Y, Z ), ! cong( X, T, Y, T ), perp( X, Y, Z, T ) }.
% 0.74/1.13 { ! cong( X, Y, T, Y ), ! cong( X, Z, T, Z ), ! cyclic( X, T, Y, Z ), perp
% 0.74/1.13 ( Y, X, X, Z ) }.
% 0.74/1.13 { ! eqangle( X, Y, Y, Z, T, U, U, W ), ! eqangle( X, Z, Y, Z, T, W, U, W )
% 0.74/1.13 , coll( X, Y, Z ), simtri( X, Y, Z, T, U, W ) }.
% 0.74/1.13 { ! simtri( X, Y, Z, T, U, W ), eqratio( X, Y, X, Z, T, U, T, W ) }.
% 0.74/1.13 { ! simtri( X, Y, Z, T, U, W ), eqangle( X, Y, Y, Z, T, U, U, W ) }.
% 0.74/1.13 { ! simtri( X, Y, Z, T, U, W ), ! cong( X, Y, T, U ), contri( X, Y, Z, T, U
% 0.74/1.13 , W ) }.
% 0.74/1.13 { ! contri( X, Y, U, Z, T, W ), cong( X, Y, Z, T ) }.
% 0.74/1.13 { ! midp( U, X, Y ), ! midp( U, Z, T ), para( X, Z, Y, T ) }.
% 0.74/1.13 { ! midp( Z, T, U ), ! para( T, X, U, Y ), ! para( T, Y, U, X ), midp( Z, X
% 0.74/1.13 , Y ) }.
% 0.74/1.13 { ! para( X, Y, Z, T ), ! coll( U, X, Z ), ! coll( U, Y, T ), eqratio( U, X
% 0.74/1.13 , X, Z, U, Y, Y, T ) }.
% 0.74/1.13 { ! para( X, Y, X, Z ), coll( X, Y, Z ) }.
% 0.74/1.13 { ! cong( X, Y, X, Z ), ! coll( X, Y, Z ), midp( X, Y, Z ) }.
% 0.74/1.13 { ! midp( X, Y, Z ), cong( X, Y, X, Z ) }.
% 0.74/1.13 { ! midp( X, Y, Z ), coll( X, Y, Z ) }.
% 0.74/1.13 { ! midp( U, X, Y ), ! midp( W, Z, T ), eqratio( U, X, X, Y, W, Z, Z, T ) }
% 0.74/1.13 .
% 0.74/1.13 { ! eqangle( X, Y, Z, T, Z, T, X, Y ), para( X, Y, Z, T ), perp( X, Y, Z, T
% 0.74/1.13 ) }.
% 0.74/1.13 { ! eqangle( X, Y, Z, T, Z, T, X, Y ), perp( X, Y, Z, T ), para( X, Y, Z, T
% 0.74/1.13 ) }.
% 0.74/1.13 { ! eqangle( X, Y, Z, T, U, W, V0, V1 ), ! para( U, W, V0, V1 ), para( X, Y
% 0.74/1.13 , Z, T ) }.
% 0.74/1.13 { ! eqangle( X, Y, Z, T, U, W, V0, V1 ), ! perp( U, W, V0, V1 ), perp( X, Y
% 0.74/1.13 , Z, T ) }.
% 0.74/1.13 { ! eqratio( X, Y, Z, T, U, W, V0, V1 ), ! cong( U, W, V0, V1 ), cong( X, Y
% 0.74/1.13 , Z, T ) }.
% 0.74/1.13 { ! perp( Z, Y, Y, X ), ! eqangle( T, Z, Y, Z, Y, Z, X, Z ), coll( skol1( U
% 0.74/1.13 , W, Z, T ), Z, T ) }.
% 0.74/1.13 { ! perp( Z, Y, Y, X ), ! eqangle( T, Z, Y, Z, Y, Z, X, Z ), coll( skol1( X
% 0.74/1.13 , Y, Z, T ), X, Y ) }.
% 0.74/1.13 { ! cong( Z, X, Z, Y ), ! eqangle( X, Z, Z, T, Z, T, Z, Y ), coll( skol2( U
% 0.74/1.13 , W, Z, T ), Z, T ) }.
% 0.74/1.13 { ! cong( Z, X, Z, Y ), ! eqangle( X, Z, Z, T, Z, T, Z, Y ), coll( Y, X,
% 0.74/1.13 skol2( X, Y, Z, T ) ) }.
% 0.74/1.13 { ! perp( Z, T, X, Y ), ! eqangle( X, Z, Z, T, Z, T, Z, Y ), coll( skol3( U
% 0.74/1.13 , W, Z, T ), Z, T ) }.
% 0.74/1.13 { ! perp( Z, T, X, Y ), ! eqangle( X, Z, Z, T, Z, T, Z, Y ), coll( Y, X,
% 0.74/1.13 skol3( X, Y, Z, T ) ) }.
% 0.74/1.13 { ! perp( Z, T, X, Y ), ! cong( Z, X, Z, Y ), coll( skol4( U, W, Z, T ), Z
% 0.74/1.13 , T ) }.
% 0.74/1.13 { ! perp( Z, T, X, Y ), ! cong( Z, X, Z, Y ), coll( Y, X, skol4( X, Y, Z, T
% 0.74/1.13 ) ) }.
% 0.74/1.13 { ! eqangle( X, Z, Y, Z, X, T, Y, U ), coll( X, Y, Z ), cyclic( T, Y, Z,
% 0.74/1.13 skol5( W, Y, Z, T ) ) }.
% 0.74/1.13 { ! eqangle( X, Z, Y, Z, X, T, Y, U ), coll( X, Y, Z ), eqangle( X, Z, Y, Z
% 0.74/1.13 , X, skol5( X, Y, Z, T ), Y, skol5( X, Y, Z, T ) ) }.
% 0.74/1.13 { ! midp( U, X, Y ), ! midp( W, Z, T ), midp( skol6( X, V0, V1, T, V2, V3 )
% 0.74/1.13 , X, T ) }.
% 0.74/1.13 { ! midp( U, X, Y ), ! midp( W, Z, T ), para( skol6( X, V0, Z, T, V1, W ),
% 0.74/1.13 W, X, Z ) }.
% 0.74/1.13 { ! midp( U, X, Y ), ! midp( W, Z, T ), para( skol6( X, Y, Z, T, U, W ), U
% 0.74/1.13 , Y, T ) }.
% 0.74/1.13 { ! midp( Z, X, Y ), ! midp( W, T, U ), ! coll( T, X, Y ), ! coll( U, X, Y
% 0.74/1.13 ), midp( skol7( X, V0 ), X, V0 ) }.
% 0.74/1.13 { ! midp( T, X, U ), ! para( X, W, Z, T ), ! para( X, W, U, Y ), ! coll( W
% 0.74/1.13 , Y, Z ), coll( skol8( V0, V1, Z, T ), T, Z ) }.
% 0.74/1.13 { ! midp( T, X, U ), ! para( X, W, Z, T ), ! para( X, W, U, Y ), ! coll( W
% 0.74/1.13 , Y, Z ), coll( skol8( X, Y, Z, T ), X, Y ) }.
% 0.74/1.13 { ! cong( T, Z, T, U ), ! perp( X, Y, Y, T ), cong( T, Z, T, skol9( W, V0,
% 0.74/1.13 Z, T ) ) }.
% 0.74/1.13 { ! cong( T, Z, T, U ), ! perp( X, Y, Y, T ), cong( Y, Z, Y, skol9( W, Y, Z
% 0.74/1.13 , T ) ) }.
% 0.74/1.13 { ! cong( T, Z, T, U ), ! perp( X, Y, Y, T ), para( skol9( X, Y, Z, T ), Z
% 0.74/1.13 , X, Y ) }.
% 0.74/1.13 { ! perp( X, T, Y, Z ), ! perp( Y, T, X, Z ), coll( skol10( U, Y, Z ), Z, Y
% 0.74/1.13 ) }.
% 0.74/1.13 { ! perp( X, T, Y, Z ), ! perp( Y, T, X, Z ), perp( X, skol10( X, Y, Z ), Z
% 0.74/1.13 , Y ) }.
% 0.74/1.13 { ! perp( X, T, Y, Z ), ! perp( Y, T, X, Z ), alpha1( X, Y, Z ) }.
% 0.74/1.13 { ! alpha1( X, Y, Z ), coll( skol11( X, T, Z ), Z, X ) }.
% 0.74/1.13 { ! alpha1( X, Y, Z ), perp( Y, skol11( X, Y, Z ), Z, X ) }.
% 0.74/1.13 { ! coll( T, Z, X ), ! perp( Y, T, Z, X ), alpha1( X, Y, Z ) }.
% 0.74/1.13 { ! circle( Y, X, Z, T ), perp( skol12( X, Y ), X, X, Y ) }.
% 3.93/4.32 { ! circle( W, X, Y, Z ), ! cong( W, X, W, T ), ! cong( U, X, U, Y ), W = U
% 3.93/4.32 , alpha2( X, Z, U, skol13( X, V0, Z, V1, U ) ) }.
% 3.93/4.32 { ! circle( W, X, Y, Z ), ! cong( W, X, W, T ), ! cong( U, X, U, Y ), W = U
% 3.93/4.32 , coll( skol21( V0, Y, T, V1 ), Y, T ) }.
% 3.93/4.32 { ! circle( W, X, Y, Z ), ! cong( W, X, W, T ), ! cong( U, X, U, Y ), W = U
% 3.93/4.32 , cong( skol21( X, Y, T, U ), U, U, X ) }.
% 3.93/4.32 { ! alpha2( X, Y, Z, T ), coll( T, X, Y ) }.
% 3.93/4.32 { ! alpha2( X, Y, Z, T ), cong( T, Z, Z, X ) }.
% 3.93/4.32 { ! coll( T, X, Y ), ! cong( T, Z, Z, X ), alpha2( X, Y, Z, T ) }.
% 3.93/4.32 { ! cyclic( X, Y, Z, T ), ! para( X, Y, Z, T ), ! midp( U, X, Y ), circle(
% 3.93/4.32 skol14( X, Y, Z ), X, Y, Z ) }.
% 3.93/4.32 { ! perp( X, Z, Z, Y ), ! cyclic( X, Y, Z, T ), circle( skol15( X, Y, Z ),
% 3.93/4.32 X, Y, Z ) }.
% 3.93/4.32 { ! perp( X, U, U, T ), ! coll( T, Y, Z ), coll( skol16( W, Y, Z ), Y, Z )
% 3.93/4.32 }.
% 3.93/4.32 { ! perp( X, U, U, T ), ! coll( T, Y, Z ), perp( skol16( X, Y, Z ), X, Y, Z
% 3.93/4.32 ) }.
% 3.93/4.32 { ! perp( X, Z, X, Y ), ! perp( Y, X, Y, T ), ! midp( U, Z, T ), midp(
% 3.93/4.32 skol17( X, Y ), X, Y ) }.
% 3.93/4.32 { ! cong( Y, X, Y, Z ), ! perp( X, Y, Y, Z ), coll( X, Y, skol18( X, Y ) )
% 3.93/4.32 }.
% 3.93/4.32 { ! cong( Y, X, Y, Z ), ! perp( X, Y, Y, Z ), cong( Y, X, Y, skol18( X, Y )
% 3.93/4.32 ) }.
% 3.93/4.32 { ! para( U, W, X, Y ), ! coll( Z, U, X ), ! coll( Z, W, Y ), ! coll( T, U
% 3.93/4.32 , W ), coll( Z, T, skol19( V0, V1, Z, T ) ) }.
% 3.93/4.32 { ! para( U, W, X, Y ), ! coll( Z, U, X ), ! coll( Z, W, Y ), ! coll( T, U
% 3.93/4.32 , W ), coll( skol19( X, Y, Z, T ), X, Y ) }.
% 3.93/4.32 { circle( skol26, skol20, skol24, skol25 ) }.
% 3.93/4.32 { perp( skol27, skol25, skol20, skol24 ) }.
% 3.93/4.32 { coll( skol27, skol20, skol24 ) }.
% 3.93/4.32 { perp( skol28, skol24, skol20, skol25 ) }.
% 3.93/4.32 { coll( skol28, skol20, skol25 ) }.
% 3.93/4.32 { circle( skol26, skol25, skol22, skol29 ) }.
% 3.93/4.32 { coll( skol22, skol25, skol27 ) }.
% 3.93/4.32 { coll( skol23, skol25, skol27 ) }.
% 3.93/4.32 { coll( skol23, skol24, skol28 ) }.
% 3.93/4.32 { ! cong( skol20, skol22, skol20, skol23 ) }.
% 3.93/4.32
% 3.93/4.32 percentage equality = 0.008721, percentage horn = 0.928571
% 3.93/4.32 This is a problem with some equality
% 3.93/4.32
% 3.93/4.32
% 3.93/4.32
% 3.93/4.32 Options Used:
% 3.93/4.32
% 3.93/4.32 useres = 1
% 3.93/4.32 useparamod = 1
% 3.93/4.32 useeqrefl = 1
% 3.93/4.32 useeqfact = 1
% 3.93/4.32 usefactor = 1
% 3.93/4.32 usesimpsplitting = 0
% 3.93/4.32 usesimpdemod = 5
% 3.93/4.32 usesimpres = 3
% 3.93/4.32
% 3.93/4.32 resimpinuse = 1000
% 3.93/4.32 resimpclauses = 20000
% 3.93/4.32 substype = eqrewr
% 3.93/4.32 backwardsubs = 1
% 3.93/4.32 selectoldest = 5
% 3.93/4.32
% 3.93/4.32 litorderings [0] = split
% 3.93/4.32 litorderings [1] = extend the termordering, first sorting on arguments
% 3.93/4.32
% 3.93/4.32 termordering = kbo
% 3.93/4.32
% 3.93/4.32 litapriori = 0
% 3.93/4.32 termapriori = 1
% 3.93/4.32 litaposteriori = 0
% 3.93/4.32 termaposteriori = 0
% 3.93/4.32 demodaposteriori = 0
% 3.93/4.32 ordereqreflfact = 0
% 3.93/4.32
% 3.93/4.32 litselect = negord
% 3.93/4.32
% 3.93/4.32 maxweight = 15
% 3.93/4.32 maxdepth = 30000
% 3.93/4.32 maxlength = 115
% 3.93/4.32 maxnrvars = 195
% 3.93/4.32 excuselevel = 1
% 3.93/4.32 increasemaxweight = 1
% 3.93/4.32
% 3.93/4.32 maxselected = 10000000
% 3.93/4.32 maxnrclauses = 10000000
% 3.93/4.32
% 3.93/4.32 showgenerated = 0
% 3.93/4.32 showkept = 0
% 3.93/4.32 showselected = 0
% 3.93/4.32 showdeleted = 0
% 3.93/4.32 showresimp = 1
% 3.93/4.32 showstatus = 2000
% 3.93/4.32
% 3.93/4.32 prologoutput = 0
% 3.93/4.32 nrgoals = 5000000
% 3.93/4.32 totalproof = 1
% 3.93/4.32
% 3.93/4.32 Symbols occurring in the translation:
% 3.93/4.32
% 3.93/4.32 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 3.93/4.32 . [1, 2] (w:1, o:40, a:1, s:1, b:0),
% 3.93/4.32 ! [4, 1] (w:0, o:35, a:1, s:1, b:0),
% 3.93/4.32 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 3.93/4.32 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 3.93/4.32 coll [38, 3] (w:1, o:68, a:1, s:1, b:0),
% 3.93/4.32 para [40, 4] (w:1, o:76, a:1, s:1, b:0),
% 3.93/4.32 perp [43, 4] (w:1, o:77, a:1, s:1, b:0),
% 3.93/4.32 midp [45, 3] (w:1, o:69, a:1, s:1, b:0),
% 3.93/4.32 cong [47, 4] (w:1, o:78, a:1, s:1, b:0),
% 3.93/4.32 circle [48, 4] (w:1, o:79, a:1, s:1, b:0),
% 3.93/4.32 cyclic [49, 4] (w:1, o:80, a:1, s:1, b:0),
% 3.93/4.32 eqangle [54, 8] (w:1, o:95, a:1, s:1, b:0),
% 3.93/4.32 eqratio [57, 8] (w:1, o:96, a:1, s:1, b:0),
% 3.93/4.32 simtri [59, 6] (w:1, o:92, a:1, s:1, b:0),
% 3.93/4.32 contri [60, 6] (w:1, o:93, a:1, s:1, b:0),
% 3.93/4.32 alpha1 [66, 3] (w:1, o:70, a:1, s:1, b:1),
% 3.93/4.32 alpha2 [67, 4] (w:1, o:81, a:1, s:1, b:1),
% 3.93/4.32 skol1 [68, 4] (w:1, o:82, a:1, s:1, b:1),
% 3.93/4.32 skol2 [69, 4] (w:1, o:84, a:1, s:1, b:1),
% 3.93/4.32 skol3 [70, 4] (w:1, o:86, a:1, s:1, b:1),
% 3.93/4.32 skol4 [71, 4] (w:1, o:87, a:1, s:1, b:1),
% 3.93/4.32 skol5 [72, 4] (w:1, o:88, a:1, s:1, b:1),
% 3.93/4.32 skol6 [73, 6] (w:1, o:94, a:1, s:1, b:1),
% 12.86/13.23 skol7 [74, 2] (w:1, o:64, a:1, s:1, b:1),
% 12.86/13.23 skol8 [75, 4] (w:1, o:89, a:1, s:1, b:1),
% 12.86/13.23 skol9 [76, 4] (w:1, o:90, a:1, s:1, b:1),
% 12.86/13.23 skol10 [77, 3] (w:1, o:71, a:1, s:1, b:1),
% 12.86/13.23 skol11 [78, 3] (w:1, o:72, a:1, s:1, b:1),
% 12.86/13.23 skol12 [79, 2] (w:1, o:65, a:1, s:1, b:1),
% 12.86/13.23 skol13 [80, 5] (w:1, o:91, a:1, s:1, b:1),
% 12.86/13.23 skol14 [81, 3] (w:1, o:73, a:1, s:1, b:1),
% 12.86/13.23 skol15 [82, 3] (w:1, o:74, a:1, s:1, b:1),
% 12.86/13.23 skol16 [83, 3] (w:1, o:75, a:1, s:1, b:1),
% 12.86/13.23 skol17 [84, 2] (w:1, o:66, a:1, s:1, b:1),
% 12.86/13.23 skol18 [85, 2] (w:1, o:67, a:1, s:1, b:1),
% 12.86/13.23 skol19 [86, 4] (w:1, o:83, a:1, s:1, b:1),
% 12.86/13.23 skol20 [87, 0] (w:1, o:26, a:1, s:1, b:1),
% 12.86/13.23 skol21 [88, 4] (w:1, o:85, a:1, s:1, b:1),
% 12.86/13.23 skol22 [89, 0] (w:1, o:27, a:1, s:1, b:1),
% 12.86/13.23 skol23 [90, 0] (w:1, o:28, a:1, s:1, b:1),
% 12.86/13.23 skol24 [91, 0] (w:1, o:29, a:1, s:1, b:1),
% 12.86/13.23 skol25 [92, 0] (w:1, o:30, a:1, s:1, b:1),
% 12.86/13.23 skol26 [93, 0] (w:1, o:31, a:1, s:1, b:1),
% 12.86/13.23 skol27 [94, 0] (w:1, o:32, a:1, s:1, b:1),
% 12.86/13.23 skol28 [95, 0] (w:1, o:33, a:1, s:1, b:1),
% 12.86/13.23 skol29 [96, 0] (w:1, o:34, a:1, s:1, b:1).
% 12.86/13.23
% 12.86/13.23
% 12.86/13.23 Starting Search:
% 12.86/13.23
% 12.86/13.23 *** allocated 15000 integers for clauses
% 12.86/13.23 *** allocated 22500 integers for clauses
% 12.86/13.23 *** allocated 33750 integers for clauses
% 12.86/13.23 *** allocated 50625 integers for clauses
% 12.86/13.23 *** allocated 22500 integers for termspace/termends
% 12.86/13.23 *** allocated 75937 integers for clauses
% 12.86/13.23 Resimplifying inuse:
% 12.86/13.23 Done
% 12.86/13.23
% 12.86/13.23 *** allocated 33750 integers for termspace/termends
% 12.86/13.23 *** allocated 113905 integers for clauses
% 12.86/13.23 *** allocated 50625 integers for termspace/termends
% 12.86/13.23
% 12.86/13.23 Intermediate Status:
% 12.86/13.23 Generated: 9689
% 12.86/13.23 Kept: 2013
% 12.86/13.23 Inuse: 321
% 12.86/13.23 Deleted: 0
% 12.86/13.23 Deletedinuse: 0
% 12.86/13.23
% 12.86/13.23 Resimplifying inuse:
% 12.86/13.23 Done
% 12.86/13.23
% 12.86/13.23 *** allocated 170857 integers for clauses
% 12.86/13.23 *** allocated 75937 integers for termspace/termends
% 12.86/13.23 Resimplifying inuse:
% 12.86/13.23 Done
% 12.86/13.23
% 12.86/13.23 *** allocated 256285 integers for clauses
% 12.86/13.23 *** allocated 113905 integers for termspace/termends
% 12.86/13.23
% 12.86/13.23 Intermediate Status:
% 12.86/13.23 Generated: 27147
% 12.86/13.23 Kept: 4109
% 12.86/13.23 Inuse: 471
% 12.86/13.23 Deleted: 1
% 12.86/13.23 Deletedinuse: 1
% 12.86/13.23
% 12.86/13.23 Resimplifying inuse:
% 12.86/13.23 Done
% 12.86/13.23
% 12.86/13.23 Resimplifying inuse:
% 12.86/13.23 Done
% 12.86/13.23
% 12.86/13.23 *** allocated 384427 integers for clauses
% 12.86/13.23 *** allocated 170857 integers for termspace/termends
% 12.86/13.23
% 12.86/13.23 Intermediate Status:
% 12.86/13.23 Generated: 40004
% 12.86/13.23 Kept: 6276
% 12.86/13.23 Inuse: 546
% 12.86/13.23 Deleted: 1
% 12.86/13.23 Deletedinuse: 1
% 12.86/13.23
% 12.86/13.23 Resimplifying inuse:
% 12.86/13.23 Done
% 12.86/13.23
% 12.86/13.23 Resimplifying inuse:
% 12.86/13.23 Done
% 12.86/13.23
% 12.86/13.23 *** allocated 576640 integers for clauses
% 12.86/13.23
% 12.86/13.23 Intermediate Status:
% 12.86/13.23 Generated: 56774
% 12.86/13.23 Kept: 8276
% 12.86/13.23 Inuse: 709
% 12.86/13.23 Deleted: 2
% 12.86/13.23 Deletedinuse: 1
% 12.86/13.23
% 12.86/13.23 Resimplifying inuse:
% 12.86/13.23 Done
% 12.86/13.23
% 12.86/13.23 *** allocated 256285 integers for termspace/termends
% 12.86/13.23 Resimplifying inuse:
% 12.86/13.23 Done
% 12.86/13.23
% 12.86/13.23
% 12.86/13.23 Intermediate Status:
% 12.86/13.23 Generated: 76985
% 12.86/13.23 Kept: 10524
% 12.86/13.23 Inuse: 809
% 12.86/13.23 Deleted: 5
% 12.86/13.23 Deletedinuse: 3
% 12.86/13.23
% 12.86/13.23 Resimplifying inuse:
% 12.86/13.23 Done
% 12.86/13.23
% 12.86/13.23 Resimplifying inuse:
% 12.86/13.23 Done
% 12.86/13.23
% 12.86/13.23 *** allocated 864960 integers for clauses
% 12.86/13.23
% 12.86/13.23 Intermediate Status:
% 12.86/13.23 Generated: 91561
% 12.86/13.23 Kept: 12978
% 12.86/13.23 Inuse: 869
% 12.86/13.23 Deleted: 6
% 12.86/13.23 Deletedinuse: 4
% 12.86/13.23
% 12.86/13.23 Resimplifying inuse:
% 12.86/13.23 Done
% 12.86/13.23
% 12.86/13.23 Resimplifying inuse:
% 12.86/13.23 Done
% 12.86/13.23
% 12.86/13.23
% 12.86/13.23 Intermediate Status:
% 12.86/13.23 Generated: 104819
% 12.86/13.24 Kept: 14998
% 12.86/13.24 Inuse: 967
% 12.86/13.24 Deleted: 8
% 12.86/13.24 Deletedinuse: 4
% 12.86/13.24
% 12.86/13.24 Resimplifying inuse:
% 12.86/13.24 Done
% 12.86/13.24
% 12.86/13.24 *** allocated 384427 integers for termspace/termends
% 12.86/13.24 Resimplifying inuse:
% 12.86/13.24 Done
% 12.86/13.24
% 12.86/13.24
% 12.86/13.24 Intermediate Status:
% 12.86/13.24 Generated: 115670
% 12.86/13.24 Kept: 17001
% 12.86/13.24 Inuse: 1056
% 12.86/13.24 Deleted: 8
% 12.86/13.24 Deletedinuse: 4
% 12.86/13.24
% 12.86/13.24 Resimplifying inuse:
% 12.86/13.24 Done
% 12.86/13.24
% 12.86/13.24 Resimplifying inuse:
% 12.86/13.24 Done
% 12.86/13.24
% 12.86/13.24 *** allocated 1297440 integers for clauses
% 12.86/13.24
% 12.86/13.24 Intermediate Status:
% 12.86/13.24 Generated: 128052
% 12.86/13.24 Kept: 19001
% 12.86/13.24 Inuse: 1170
% 12.86/13.24 Deleted: 12
% 12.86/13.24 Deletedinuse: 4
% 12.86/13.24
% 12.86/13.24 Resimplifying inuse:
% 12.86/13.24 Done
% 12.86/13.24
% 12.86/13.24 Resimplifying clauses:
% 12.86/13.24 Done
% 12.86/13.24
% 12.86/13.24 Resimplifying inuse:
% 12.86/13.24 Done
% 12.86/13.24
% 12.86/13.24
% 12.86/13.24 Intermediate Status:
% 12.86/13.24 Generated: 139992
% 12.86/13.24 Kept: 21009
% 12.86/13.24 Inuse: 1303
% 12.86/13.24 Deleted: 1058
% 12.86/13.24 Deletedinuse: 8
% 12.86/13.24
% 12.86/13.24 Resimplifying inuse:
% 12.86/13.24 Done
% 12.86/13.24
% 12.86/13.24 Resimplifying inuse:
% 12.86/13.24 Done
% 12.86/13.24
% 12.86/13.24
% 12.86/13.24 Intermediate Status:
% 12.86/13.24 Generated: 152261
% 12.86/13.24 Kept: 23012
% 12.86/13.24 Inuse: 1426
% 12.86/13.24 Deleted: 1058
% 12.86/13.24 Deletedinuse: 8
% 12.86/13.24
% 12.86/13.24 Resimplifying inuse:
% 12.86/13.24 Done
% 12.86/13.24
% 12.86/13.24 Resimplifying inuse:
% 12.86/13.24 Done
% 12.86/13.24
% 12.86/13.24
% 12.86/13.24 Intermediate Status:
% 12.86/13.24 Generated: 169733
% 12.86/13.24 Kept: 25014
% 12.86/13.24 Inuse: 1582
% 12.86/13.24 Deleted: 1062
% 12.86/13.24 Deletedinuse: 12
% 12.86/13.24
% 12.86/13.24 Resimplifying inuse:
% 12.86/13.24 Done
% 12.86/13.24
% 12.86/13.24 *** allocated 576640 integers for termspace/termends
% 12.86/13.24 Resimplifying inuse:
% 12.86/13.24 Done
% 12.86/13.24
% 12.86/13.24
% 12.86/13.24 Intermediate Status:
% 12.86/13.24 Generated: 185310
% 12.86/13.24 Kept: 27025
% 12.86/13.24 Inuse: 1722
% 12.86/13.24 Deleted: 1081
% 12.86/13.24 Deletedinuse: 30
% 12.86/13.24
% 12.86/13.24 Resimplifying inuse:
% 12.86/13.24 Done
% 12.86/13.24
% 12.86/13.24 *** allocated 1946160 integers for clauses
% 12.86/13.24 Resimplifying inuse:
% 12.86/13.24 Done
% 12.86/13.24
% 12.86/13.24
% 12.86/13.24 Intermediate Status:
% 12.86/13.24 Generated: 202460
% 12.86/13.24 Kept: 29035
% 12.86/13.24 Inuse: 1889
% 12.86/13.24 Deleted: 1101
% 12.86/13.24 Deletedinuse: 50
% 12.86/13.24
% 12.86/13.24 Resimplifying inuse:
% 12.86/13.24 Done
% 12.86/13.24
% 12.86/13.24 Resimplifying inuse:
% 12.86/13.24 Done
% 12.86/13.24
% 12.86/13.24
% 12.86/13.24 Intermediate Status:
% 12.86/13.24 Generated: 218541
% 12.86/13.24 Kept: 31050
% 12.86/13.24 Inuse: 2037
% 12.86/13.24 Deleted: 1109
% 12.86/13.24 Deletedinuse: 58
% 12.86/13.24
% 12.86/13.24 Resimplifying inuse:
% 12.86/13.24 Done
% 12.86/13.24
% 12.86/13.24 Resimplifying inuse:
% 12.86/13.24 Done
% 12.86/13.24
% 12.86/13.24
% 12.86/13.24 Intermediate Status:
% 12.86/13.24 Generated: 234931
% 12.86/13.24 Kept: 33066
% 12.86/13.24 Inuse: 2197
% 12.86/13.24 Deleted: 1137
% 12.86/13.24 Deletedinuse: 86
% 12.86/13.24
% 12.86/13.24 Resimplifying inuse:
% 12.86/13.24 Done
% 12.86/13.24
% 12.86/13.24 Resimplifying inuse:
% 12.86/13.24 Done
% 12.86/13.24
% 12.86/13.24
% 12.86/13.24 Intermediate Status:
% 12.86/13.24 Generated: 255857
% 12.86/13.24 Kept: 35068
% 12.86/13.24 Inuse: 2399
% 12.86/13.24 Deleted: 1159
% 12.86/13.24 Deletedinuse: 108
% 12.86/13.24
% 12.86/13.24 Resimplifying inuse:
% 12.86/13.24 Done
% 12.86/13.24
% 12.86/13.24
% 12.86/13.24 Intermediate Status:
% 12.86/13.24 Generated: 263485
% 12.86/13.24 Kept: 37903
% 12.86/13.24 Inuse: 2437
% 12.86/13.24 Deleted: 1163
% 12.86/13.24 Deletedinuse: 112
% 12.86/13.24
% 12.86/13.24 Resimplifying inuse:
% 12.86/13.24 Done
% 12.86/13.24
% 12.86/13.24
% 12.86/13.24 Intermediate Status:
% 12.86/13.24 Generated: 273112
% 12.86/13.24 Kept: 40939
% 12.86/13.24 Inuse: 2487
% 12.86/13.24 Deleted: 1163
% 12.86/13.24 Deletedinuse: 112
% 12.86/13.24
% 12.86/13.24 Resimplifying inuse:
% 12.86/13.24 Done
% 12.86/13.24
% 12.86/13.24 Resimplifying clauses:
% 12.86/13.24 Done
% 12.86/13.24
% 12.86/13.24 *** allocated 864960 integers for termspace/termends
% 12.86/13.24 *** allocated 2919240 integers for clauses
% 12.86/13.24
% 12.86/13.24 Intermediate Status:
% 12.86/13.24 Generated: 283311
% 12.86/13.24 Kept: 44193
% 12.86/13.24 Inuse: 2502
% 12.86/13.24 Deleted: 3792
% 12.86/13.24 Deletedinuse: 112
% 12.86/13.24
% 12.86/13.24 Resimplifying inuse:
% 12.86/13.24 Done
% 12.86/13.24
% 12.86/13.24 Resimplifying inuse:
% 12.86/13.24 Done
% 12.86/13.24
% 12.86/13.24
% 12.86/13.24 Intermediate Status:
% 12.86/13.24 Generated: 303895
% 12.86/13.24 Kept: 46376
% 12.86/13.24 Inuse: 2577
% 12.86/13.24 Deleted: 3800
% 12.86/13.24 Deletedinuse: 120
% 12.86/13.24
% 12.86/13.24 Resimplifying inuse:
% 12.86/13.24 Done
% 12.86/13.24
% 12.86/13.24
% 12.86/13.24 Intermediate Status:
% 12.86/13.24 Generated: 312260
% 12.86/13.24 Kept: 49540
% 12.86/13.24 Inuse: 2595
% 12.86/13.24 Deleted: 3808
% 12.86/13.24 Deletedinuse: 126
% 12.86/13.24
% 12.86/13.24 Resimplifying inuse:
% 12.86/13.24 Done
% 12.86/13.24
% 12.86/13.24 Resimplifying inuse:
% 12.86/13.24 Done
% 12.86/13.24
% 12.86/13.24
% 12.86/13.24 Intermediate Status:
% 12.86/13.24 Generated: 335045
% 12.86/13.24 Kept: 52261
% 12.86/13.24 Inuse: 2740
% 12.86/13.24 Deleted: 3817
% 12.86/13.24 Deletedinuse: 130
% 12.86/13.24
% 12.86/13.24 Resimplifying inuse:
% 12.86/13.24 Done
% 12.86/13.24
% 12.86/13.24 Resimplifying inuse:
% 12.86/13.24 Done
% 12.86/13.24
% 12.86/13.24
% 12.86/13.24 Intermediate Status:
% 12.86/13.24 Generated: 343107
% 12.86/13.24 Kept: 54264
% 12.86/13.24 Inuse: 2793
% 12.86/13.24 Deleted: 3821
% 12.86/13.24 Deletedinuse: 130
% 12.86/13.24
% 12.86/13.24 Resimplifying inuse:
% 12.86/13.24 Done
% 12.86/13.24
% 12.86/13.24 Resimplifying inuse:
% 12.86/13.24 Done
% 12.86/13.24
% 12.86/13.24
% 12.86/13.24 Intermediate Status:
% 12.86/13.24 Generated: 357438
% 12.86/13.24 Kept: 56276
% 12.86/13.24 Inuse: 2929
% 12.86/13.24 Deleted: 3829
% 12.86/13.24 Deletedinuse: 138
% 12.86/13.24
% 12.86/13.24 Resimplifying inuse:
% 12.86/13.24 Done
% 12.86/13.24
% 12.86/13.24 Resimplifying inuse:
% 12.86/13.24 Done
% 12.86/13.24
% 12.86/13.24
% 12.86/13.24 Intermediate Status:
% 12.86/13.24 Generated: 371187
% 12.86/13.24 Kept: 58277
% 12.86/13.24 Inuse: 3077
% 12.86/13.24 Deleted: 4008
% 12.86/13.24 Deletedinuse: 259
% 12.86/13.24
% 12.86/13.24 Resimplifying inuse:
% 12.86/13.24 Done
% 12.86/13.24
% 12.86/13.24 Resimplifying inuse:
% 12.86/13.24 Done
% 12.86/13.24
% 12.86/13.24
% 12.86/13.24 Intermediate Status:
% 12.86/13.24 Generated: 385488
% 12.86/13.24 Kept: 60278
% 12.86/13.24 Inuse: 3229
% 12.86/13.24 Deleted: 4046
% 12.86/13.24 Deletedinuse: 259
% 12.86/13.24
% 12.86/13.24 Resimplifying inuse:
% 12.86/13.24 Done
% 12.86/13.24
% 12.86/13.24 Resimplifying clauses:
% 12.86/13.24 Done
% 12.86/13.24
% 12.86/13.24
% 12.86/13.24 Intermediate Status:
% 12.86/13.24 Generated: 391055
% 12.86/13.24 Kept: 62398
% 12.86/13.24 Inuse: 3274
% 12.86/13.24 Deleted: 34233
% 12.86/13.24 Deletedinuse: 259
% 12.86/13.24
% 12.86/13.24 Resimplifying inuse:
% 12.86/13.24 Done
% 12.86/13.24
% 12.86/13.24
% 12.86/13.24 Bliksems!, er is een bewijs:
% 12.86/13.24 % SZS status Theorem
% 12.86/13.24 % SZS output start Refutation
% 12.86/13.24
% 12.86/13.24 (0) {G0,W8,D2,L2,V3,M2} I { ! coll( X, Y, Z ), coll( X, Z, Y ) }.
% 12.86/13.24 (1) {G0,W8,D2,L2,V3,M2} I { ! coll( X, Y, Z ), coll( Y, X, Z ) }.
% 12.86/13.24 (2) {G0,W12,D2,L3,V4,M3} I { ! coll( X, T, Y ), ! coll( X, T, Z ), coll( Y
% 12.86/13.24 , Z, X ) }.
% 12.86/13.24 (6) {G0,W10,D2,L2,V4,M2} I { ! perp( X, Y, Z, T ), perp( X, Y, T, Z ) }.
% 12.86/13.24 (7) {G0,W10,D2,L2,V4,M2} I { ! perp( X, Y, Z, T ), perp( Z, T, X, Y ) }.
% 12.86/13.24 (8) {G0,W15,D2,L3,V6,M3} I { ! perp( X, Y, U, W ), ! perp( U, W, Z, T ),
% 12.86/13.24 para( X, Y, Z, T ) }.
% 12.86/13.24 (13) {G0,W10,D2,L2,V4,M2} I { ! cyclic( X, Y, Z, T ), cyclic( X, Y, T, Z )
% 12.86/13.24 }.
% 12.86/13.24 (14) {G0,W10,D2,L2,V4,M2} I { ! cyclic( X, Y, Z, T ), cyclic( X, Z, Y, T )
% 12.86/13.24 }.
% 12.86/13.24 (15) {G0,W10,D2,L2,V4,M2} I { ! cyclic( X, Y, Z, T ), cyclic( Y, X, Z, T )
% 12.86/13.24 }.
% 12.86/13.24 (16) {G0,W15,D2,L3,V5,M3} I { ! cyclic( U, X, Y, Z ), ! cyclic( U, X, Y, T
% 12.86/13.24 ), cyclic( X, Y, Z, T ) }.
% 12.86/13.24 (18) {G0,W18,D2,L2,V8,M2} I { ! eqangle( X, Y, Z, T, U, W, V0, V1 ),
% 12.86/13.24 eqangle( Z, T, X, Y, V0, V1, U, W ) }.
% 12.86/13.24 (22) {G0,W10,D2,L2,V4,M2} I { ! cong( X, Y, Z, T ), cong( X, Y, T, Z ) }.
% 12.86/13.24 (23) {G0,W10,D2,L2,V4,M2} I { ! cong( X, Y, Z, T ), cong( Z, T, X, Y ) }.
% 12.86/13.24 (24) {G0,W15,D2,L3,V6,M3} I { ! cong( X, Y, U, W ), ! cong( U, W, Z, T ),
% 12.86/13.24 cong( X, Y, Z, T ) }.
% 12.86/13.24 (38) {G0,W14,D2,L2,V6,M2} I { ! eqangle( X, Y, U, W, Z, T, U, W ), para( X
% 12.86/13.24 , Y, Z, T ) }.
% 12.86/13.24 (39) {G0,W14,D2,L2,V6,M2} I { ! para( X, Y, Z, T ), eqangle( X, Y, U, W, Z
% 12.86/13.24 , T, U, W ) }.
% 12.86/13.24 (40) {G0,W14,D2,L2,V4,M2} I { ! cyclic( X, Y, Z, T ), eqangle( Z, X, Z, Y,
% 12.86/13.24 T, X, T, Y ) }.
% 12.86/13.24 (42) {G0,W18,D2,L3,V4,M3} I { ! eqangle( Z, X, Z, Y, T, X, T, Y ), ! coll(
% 12.86/13.24 Z, T, Y ), cyclic( X, Y, Z, T ) }.
% 12.86/13.24 (43) {G0,W29,D2,L5,V6,M5} I { ! cyclic( X, Y, U, Z ), ! cyclic( X, Y, U, T
% 12.86/13.24 ), ! cyclic( X, Y, U, W ), ! eqangle( U, X, U, Y, W, Z, W, T ), cong( X
% 12.86/13.24 , Y, Z, T ) }.
% 12.86/13.24 (52) {G0,W14,D2,L3,V4,M3} I { ! perp( X, Y, Y, T ), ! midp( Z, X, T ), cong
% 12.86/13.24 ( X, Z, Y, Z ) }.
% 12.86/13.24 (57) {G0,W20,D2,L4,V4,M4} I { ! cong( X, Y, T, Y ), ! cong( X, Z, T, Z ), !
% 12.86/13.24 cyclic( X, T, Y, Z ), perp( Y, X, X, Z ) }.
% 12.86/13.24 (66) {G0,W9,D2,L2,V3,M2} I { ! para( X, Y, X, Z ), coll( X, Y, Z ) }.
% 12.86/13.24 (67) {G0,W13,D2,L3,V3,M3} I { ! cong( X, Y, X, Z ), ! coll( X, Y, Z ), midp
% 12.86/13.24 ( X, Y, Z ) }.
% 12.86/13.24 (117) {G0,W5,D2,L1,V0,M1} I { perp( skol27, skol25, skol20, skol24 ) }.
% 12.86/13.24 (122) {G0,W4,D2,L1,V0,M1} I { coll( skol22, skol25, skol27 ) }.
% 12.86/13.24 (125) {G0,W5,D2,L1,V0,M1} I { ! cong( skol20, skol22, skol20, skol23 ) }.
% 12.86/13.24 (165) {G1,W4,D2,L1,V0,M1} R(0,122) { coll( skol22, skol27, skol25 ) }.
% 12.86/13.24 (169) {G2,W4,D2,L1,V0,M1} R(1,165) { coll( skol27, skol22, skol25 ) }.
% 12.86/13.24 (204) {G1,W12,D2,L3,V4,M3} R(2,0) { ! coll( X, Y, Z ), ! coll( X, Y, T ),
% 12.86/13.24 coll( Z, X, T ) }.
% 12.86/13.24 (215) {G2,W8,D2,L2,V3,M2} F(204) { ! coll( X, Y, Z ), coll( Z, X, Z ) }.
% 12.86/13.24 (287) {G1,W15,D2,L3,V6,M3} R(8,7) { ! perp( X, Y, Z, T ), para( X, Y, U, W
% 12.86/13.24 ), ! perp( U, W, Z, T ) }.
% 12.86/13.24 (297) {G2,W10,D2,L2,V4,M2} F(287) { ! perp( X, Y, Z, T ), para( X, Y, X, Y
% 12.86/13.24 ) }.
% 12.86/13.24 (308) {G1,W5,D2,L1,V0,M1} R(117,7) { perp( skol20, skol24, skol27, skol25 )
% 12.86/13.24 }.
% 12.86/13.24 (330) {G2,W5,D2,L1,V0,M1} R(308,6) { perp( skol20, skol24, skol25, skol27 )
% 12.86/13.24 }.
% 12.86/13.24 (334) {G3,W5,D2,L1,V0,M1} R(330,7) { perp( skol25, skol27, skol20, skol24 )
% 12.86/13.24 }.
% 12.86/13.24 (338) {G4,W5,D2,L1,V0,M1} R(334,6) { perp( skol25, skol27, skol24, skol20 )
% 12.86/13.24 }.
% 12.86/13.24 (372) {G3,W4,D2,L1,V0,M1} R(215,169) { coll( skol25, skol27, skol25 ) }.
% 12.86/13.24 (409) {G1,W10,D2,L2,V4,M2} R(14,13) { ! cyclic( X, Y, Z, T ), cyclic( X, Z
% 12.86/13.24 , T, Y ) }.
% 12.86/13.24 (420) {G1,W10,D2,L2,V4,M2} R(15,14) { cyclic( X, Y, Z, T ), ! cyclic( Y, Z
% 12.86/13.24 , X, T ) }.
% 12.86/13.24 (422) {G1,W10,D2,L2,V4,M2} R(15,13) { cyclic( X, Y, Z, T ), ! cyclic( Y, X
% 12.86/13.24 , T, Z ) }.
% 12.86/13.24 (439) {G1,W15,D2,L3,V5,M3} R(16,15) { ! cyclic( X, Y, Z, T ), ! cyclic( X,
% 12.86/13.24 Y, Z, U ), cyclic( Z, Y, T, U ) }.
% 12.86/13.24 (444) {G1,W15,D2,L3,V5,M3} R(16,13) { ! cyclic( X, Y, Z, T ), cyclic( Y, Z
% 12.86/13.24 , T, U ), ! cyclic( X, Y, U, Z ) }.
% 12.86/13.24 (448) {G2,W10,D2,L2,V4,M2} F(439) { ! cyclic( X, Y, Z, T ), cyclic( Z, Y, T
% 12.86/13.24 , T ) }.
% 12.86/13.24 (538) {G1,W5,D2,L1,V0,M1} R(23,125) { ! cong( skol20, skol23, skol20,
% 12.86/13.24 skol22 ) }.
% 12.86/13.24 (575) {G4,W4,D2,L1,V0,M1} R(372,0) { coll( skol25, skol25, skol27 ) }.
% 12.86/13.24 (686) {G2,W5,D2,L1,V0,M1} R(538,22) { ! cong( skol20, skol23, skol22,
% 12.86/13.24 skol20 ) }.
% 12.86/13.24 (688) {G3,W5,D2,L1,V0,M1} R(686,23) { ! cong( skol22, skol20, skol20,
% 12.86/13.24 skol23 ) }.
% 12.86/13.24 (690) {G4,W5,D2,L1,V0,M1} R(688,22) { ! cong( skol22, skol20, skol23,
% 12.86/13.24 skol20 ) }.
% 12.86/13.24 (692) {G5,W5,D2,L1,V0,M1} R(690,23) { ! cong( skol23, skol20, skol22,
% 12.86/13.24 skol20 ) }.
% 12.86/13.24 (695) {G6,W10,D2,L2,V2,M2} R(692,24) { ! cong( skol23, skol20, X, Y ), !
% 12.86/13.24 cong( X, Y, skol22, skol20 ) }.
% 12.86/13.24 (764) {G1,W14,D2,L2,V6,M2} R(39,18) { ! para( X, Y, Z, T ), eqangle( U, W,
% 12.86/13.24 X, Y, U, W, Z, T ) }.
% 12.86/13.24 (775) {G1,W10,D2,L2,V3,M2} R(40,38) { ! cyclic( X, Y, Z, Z ), para( Z, X, Z
% 12.86/13.24 , X ) }.
% 12.86/13.24 (873) {G5,W14,D2,L2,V1,M2} R(42,575) { ! eqangle( skol25, X, skol25, skol27
% 12.86/13.24 , skol25, X, skol25, skol27 ), cyclic( X, skol27, skol25, skol25 ) }.
% 12.86/13.24 (983) {G1,W20,D2,L4,V4,M4} R(43,40);f { ! cyclic( X, Y, Z, X ), ! cyclic( X
% 12.86/13.24 , Y, Z, Y ), ! cyclic( X, Y, Z, T ), cong( X, Y, X, Y ) }.
% 12.86/13.24 (1016) {G2,W15,D2,L3,V3,M3} F(983) { ! cyclic( X, Y, Z, X ), ! cyclic( X, Y
% 12.86/13.24 , Z, Y ), cong( X, Y, X, Y ) }.
% 12.86/13.24 (1814) {G1,W20,D2,L4,V4,M4} R(57,23) { ! cong( X, Y, Z, Y ), ! cyclic( X, Z
% 12.86/13.24 , Y, T ), perp( Y, X, X, T ), ! cong( Z, T, X, T ) }.
% 12.86/13.24 (20080) {G5,W5,D2,L1,V0,M1} R(297,338) { para( skol25, skol27, skol25,
% 12.86/13.24 skol27 ) }.
% 12.86/13.24 (45714) {G6,W9,D2,L1,V2,M1} R(764,20080) { eqangle( X, Y, skol25, skol27, X
% 12.86/13.24 , Y, skol25, skol27 ) }.
% 12.86/13.24 (49614) {G2,W9,D2,L2,V3,M2} R(775,66) { ! cyclic( X, Y, Z, Z ), coll( Z, X
% 12.86/13.24 , X ) }.
% 12.86/13.24 (56514) {G7,W5,D2,L1,V1,M1} S(873);r(45714) { cyclic( X, skol27, skol25,
% 12.86/13.24 skol25 ) }.
% 12.86/13.24 (56535) {G8,W5,D2,L1,V1,M1} R(56514,422) { cyclic( skol27, X, skol25,
% 12.86/13.24 skol25 ) }.
% 12.86/13.24 (56547) {G9,W5,D2,L1,V1,M1} R(56535,448) { cyclic( skol25, X, skol25,
% 12.86/13.24 skol25 ) }.
% 12.86/13.24 (56569) {G10,W5,D2,L1,V1,M1} R(56547,420) { cyclic( skol25, skol25, X,
% 12.86/13.24 skol25 ) }.
% 12.86/13.24 (56570) {G10,W5,D2,L1,V1,M1} R(56547,409) { cyclic( skol25, skol25, skol25
% 12.86/13.24 , X ) }.
% 12.86/13.24 (56575) {G11,W5,D2,L1,V2,M1} R(56569,444);r(56570) { cyclic( skol25, skol25
% 12.86/13.24 , X, Y ) }.
% 12.86/13.24 (56597) {G12,W5,D2,L1,V3,M1} R(56575,444);r(56575) { cyclic( skol25, X, Y,
% 12.86/13.24 Z ) }.
% 12.86/13.24 (56616) {G13,W5,D2,L1,V4,M1} R(56597,444);r(56597) { cyclic( X, Y, Z, T )
% 12.86/13.24 }.
% 12.86/13.24 (61039) {G14,W4,D2,L1,V2,M1} S(49614);r(56616) { coll( Z, X, X ) }.
% 12.86/13.24 (62367) {G14,W15,D2,L3,V4,M3} S(1814);r(56616) { ! cong( X, Y, Z, Y ), perp
% 12.86/13.24 ( Y, X, X, T ), ! cong( Z, T, X, T ) }.
% 12.86/13.24 (62388) {G14,W5,D2,L1,V2,M1} S(1016);r(56616);r(56616) { cong( X, Y, X, Y )
% 12.86/13.24 }.
% 12.86/13.24 (62396) {G15,W5,D2,L1,V2,M1} F(62367);r(62388) { perp( Y, X, X, Y ) }.
% 12.86/13.24 (62411) {G15,W4,D2,L1,V2,M1} R(61039,67);r(62388) { midp( X, Y, Y ) }.
% 12.86/13.24 (62428) {G16,W5,D2,L1,V3,M1} R(62411,52);r(62396) { cong( X, Z, Y, Z ) }.
% 12.86/13.24 (63315) {G17,W0,D0,L0,V0,M0} R(62428,695);r(62428) { }.
% 12.86/13.24
% 12.86/13.24
% 12.86/13.24 % SZS output end Refutation
% 12.86/13.24 found a proof!
% 12.86/13.24
% 12.86/13.24
% 12.86/13.24 Unprocessed initial clauses:
% 12.86/13.24
% 12.86/13.24 (63317) {G0,W8,D2,L2,V3,M2} { ! coll( X, Y, Z ), coll( X, Z, Y ) }.
% 12.86/13.24 (63318) {G0,W8,D2,L2,V3,M2} { ! coll( X, Y, Z ), coll( Y, X, Z ) }.
% 12.86/13.24 (63319) {G0,W12,D2,L3,V4,M3} { ! coll( X, T, Y ), ! coll( X, T, Z ), coll
% 12.86/13.24 ( Y, Z, X ) }.
% 12.86/13.24 (63320) {G0,W10,D2,L2,V4,M2} { ! para( X, Y, Z, T ), para( X, Y, T, Z )
% 12.86/13.24 }.
% 12.86/13.24 (63321) {G0,W10,D2,L2,V4,M2} { ! para( X, Y, Z, T ), para( Z, T, X, Y )
% 12.86/13.24 }.
% 12.86/13.24 (63322) {G0,W15,D2,L3,V6,M3} { ! para( X, Y, U, W ), ! para( U, W, Z, T )
% 12.86/13.24 , para( X, Y, Z, T ) }.
% 12.86/13.24 (63323) {G0,W10,D2,L2,V4,M2} { ! perp( X, Y, Z, T ), perp( X, Y, T, Z )
% 12.86/13.24 }.
% 12.86/13.24 (63324) {G0,W10,D2,L2,V4,M2} { ! perp( X, Y, Z, T ), perp( Z, T, X, Y )
% 12.86/13.24 }.
% 12.86/13.24 (63325) {G0,W15,D2,L3,V6,M3} { ! perp( X, Y, U, W ), ! perp( U, W, Z, T )
% 12.86/13.24 , para( X, Y, Z, T ) }.
% 12.86/13.24 (63326) {G0,W15,D2,L3,V6,M3} { ! para( X, Y, U, W ), ! perp( U, W, Z, T )
% 12.86/13.24 , perp( X, Y, Z, T ) }.
% 12.86/13.24 (63327) {G0,W8,D2,L2,V3,M2} { ! midp( Z, Y, X ), midp( Z, X, Y ) }.
% 12.86/13.24 (63328) {G0,W15,D2,L3,V4,M3} { ! cong( T, X, T, Y ), ! cong( T, X, T, Z )
% 12.86/13.24 , circle( T, X, Y, Z ) }.
% 12.86/13.24 (63329) {G0,W20,D2,L4,V5,M4} { ! cong( U, X, U, Y ), ! cong( U, X, U, Z )
% 12.86/13.24 , ! cong( U, X, U, T ), cyclic( X, Y, Z, T ) }.
% 12.86/13.24 (63330) {G0,W10,D2,L2,V4,M2} { ! cyclic( X, Y, Z, T ), cyclic( X, Y, T, Z
% 12.86/13.24 ) }.
% 12.86/13.24 (63331) {G0,W10,D2,L2,V4,M2} { ! cyclic( X, Y, Z, T ), cyclic( X, Z, Y, T
% 12.86/13.24 ) }.
% 12.86/13.24 (63332) {G0,W10,D2,L2,V4,M2} { ! cyclic( X, Y, Z, T ), cyclic( Y, X, Z, T
% 12.86/13.24 ) }.
% 12.86/13.24 (63333) {G0,W15,D2,L3,V5,M3} { ! cyclic( U, X, Y, Z ), ! cyclic( U, X, Y,
% 12.86/13.24 T ), cyclic( X, Y, Z, T ) }.
% 12.86/13.24 (63334) {G0,W18,D2,L2,V8,M2} { ! eqangle( X, Y, Z, T, U, W, V0, V1 ),
% 12.86/13.24 eqangle( Y, X, Z, T, U, W, V0, V1 ) }.
% 12.86/13.24 (63335) {G0,W18,D2,L2,V8,M2} { ! eqangle( X, Y, Z, T, U, W, V0, V1 ),
% 12.86/13.24 eqangle( Z, T, X, Y, V0, V1, U, W ) }.
% 12.86/13.24 (63336) {G0,W18,D2,L2,V8,M2} { ! eqangle( X, Y, Z, T, U, W, V0, V1 ),
% 12.86/13.24 eqangle( U, W, V0, V1, X, Y, Z, T ) }.
% 12.86/13.24 (63337) {G0,W18,D2,L2,V8,M2} { ! eqangle( X, Y, Z, T, U, W, V0, V1 ),
% 12.86/13.24 eqangle( X, Y, U, W, Z, T, V0, V1 ) }.
% 12.86/13.24 (63338) {G0,W27,D2,L3,V12,M3} { ! eqangle( X, Y, Z, T, V2, V3, V4, V5 ), !
% 12.86/13.24 eqangle( V2, V3, V4, V5, U, W, V0, V1 ), eqangle( X, Y, Z, T, U, W, V0,
% 12.86/13.24 V1 ) }.
% 12.86/13.24 (63339) {G0,W10,D2,L2,V4,M2} { ! cong( X, Y, Z, T ), cong( X, Y, T, Z )
% 12.86/13.24 }.
% 12.86/13.24 (63340) {G0,W10,D2,L2,V4,M2} { ! cong( X, Y, Z, T ), cong( Z, T, X, Y )
% 12.86/13.24 }.
% 12.86/13.24 (63341) {G0,W15,D2,L3,V6,M3} { ! cong( X, Y, U, W ), ! cong( U, W, Z, T )
% 12.86/13.24 , cong( X, Y, Z, T ) }.
% 12.86/13.24 (63342) {G0,W18,D2,L2,V8,M2} { ! eqratio( X, Y, Z, T, U, W, V0, V1 ),
% 12.86/13.24 eqratio( Y, X, Z, T, U, W, V0, V1 ) }.
% 12.86/13.24 (63343) {G0,W18,D2,L2,V8,M2} { ! eqratio( X, Y, Z, T, U, W, V0, V1 ),
% 12.86/13.24 eqratio( Z, T, X, Y, V0, V1, U, W ) }.
% 12.86/13.24 (63344) {G0,W18,D2,L2,V8,M2} { ! eqratio( X, Y, Z, T, U, W, V0, V1 ),
% 12.86/13.24 eqratio( U, W, V0, V1, X, Y, Z, T ) }.
% 12.86/13.24 (63345) {G0,W18,D2,L2,V8,M2} { ! eqratio( X, Y, Z, T, U, W, V0, V1 ),
% 12.86/13.24 eqratio( X, Y, U, W, Z, T, V0, V1 ) }.
% 12.86/13.24 (63346) {G0,W27,D2,L3,V12,M3} { ! eqratio( X, Y, Z, T, V2, V3, V4, V5 ), !
% 12.86/13.24 eqratio( V2, V3, V4, V5, U, W, V0, V1 ), eqratio( X, Y, Z, T, U, W, V0,
% 12.86/13.24 V1 ) }.
% 12.86/13.24 (63347) {G0,W14,D2,L2,V6,M2} { ! simtri( X, Z, Y, T, W, U ), simtri( X, Y
% 12.86/13.24 , Z, T, U, W ) }.
% 12.86/13.24 (63348) {G0,W14,D2,L2,V6,M2} { ! simtri( Y, X, Z, U, T, W ), simtri( X, Y
% 12.86/13.24 , Z, T, U, W ) }.
% 12.86/13.24 (63349) {G0,W14,D2,L2,V6,M2} { ! simtri( T, U, W, X, Y, Z ), simtri( X, Y
% 12.86/13.24 , Z, T, U, W ) }.
% 12.86/13.24 (63350) {G0,W21,D2,L3,V9,M3} { ! simtri( X, Y, Z, V0, V1, V2 ), ! simtri(
% 12.86/13.24 V0, V1, V2, T, U, W ), simtri( X, Y, Z, T, U, W ) }.
% 12.86/13.24 (63351) {G0,W14,D2,L2,V6,M2} { ! contri( X, Z, Y, T, W, U ), contri( X, Y
% 12.86/13.24 , Z, T, U, W ) }.
% 12.86/13.24 (63352) {G0,W14,D2,L2,V6,M2} { ! contri( Y, X, Z, U, T, W ), contri( X, Y
% 12.86/13.24 , Z, T, U, W ) }.
% 12.86/13.24 (63353) {G0,W14,D2,L2,V6,M2} { ! contri( T, U, W, X, Y, Z ), contri( X, Y
% 12.86/13.24 , Z, T, U, W ) }.
% 12.86/13.24 (63354) {G0,W21,D2,L3,V9,M3} { ! contri( X, Y, Z, V0, V1, V2 ), ! contri(
% 12.86/13.24 V0, V1, V2, T, U, W ), contri( X, Y, Z, T, U, W ) }.
% 12.86/13.24 (63355) {G0,W14,D2,L2,V6,M2} { ! eqangle( X, Y, U, W, Z, T, U, W ), para(
% 12.86/13.24 X, Y, Z, T ) }.
% 12.86/13.24 (63356) {G0,W14,D2,L2,V6,M2} { ! para( X, Y, Z, T ), eqangle( X, Y, U, W,
% 12.86/13.24 Z, T, U, W ) }.
% 12.86/13.24 (63357) {G0,W14,D2,L2,V4,M2} { ! cyclic( X, Y, Z, T ), eqangle( Z, X, Z, Y
% 12.86/13.24 , T, X, T, Y ) }.
% 12.86/13.24 (63358) {G0,W18,D2,L3,V4,M3} { ! eqangle( Z, X, Z, Y, T, X, T, Y ), coll(
% 12.86/13.24 Z, T, X ), cyclic( X, Y, Z, T ) }.
% 12.86/13.24 (63359) {G0,W18,D2,L3,V4,M3} { ! eqangle( Z, X, Z, Y, T, X, T, Y ), ! coll
% 12.86/13.24 ( Z, T, Y ), cyclic( X, Y, Z, T ) }.
% 12.86/13.24 (63360) {G0,W29,D2,L5,V6,M5} { ! cyclic( X, Y, U, Z ), ! cyclic( X, Y, U,
% 12.86/13.24 T ), ! cyclic( X, Y, U, W ), ! eqangle( U, X, U, Y, W, Z, W, T ), cong( X
% 12.86/13.24 , Y, Z, T ) }.
% 12.86/13.24 (63361) {G0,W13,D2,L3,V5,M3} { ! midp( Z, U, X ), ! midp( T, U, Y ), para
% 12.86/13.24 ( Z, T, X, Y ) }.
% 12.86/13.24 (63362) {G0,W17,D2,L4,V5,M4} { ! midp( U, X, T ), ! para( U, Z, T, Y ), !
% 12.86/13.24 coll( Z, X, Y ), midp( Z, X, Y ) }.
% 12.86/13.24 (63363) {G0,W14,D2,L2,V3,M2} { ! cong( Z, X, Z, Y ), eqangle( Z, X, X, Y,
% 12.86/13.24 X, Y, Z, Y ) }.
% 12.86/13.24 (63364) {G0,W18,D2,L3,V3,M3} { ! eqangle( Z, X, X, Y, X, Y, Z, Y ), coll(
% 12.86/13.24 Z, X, Y ), cong( Z, X, Z, Y ) }.
% 12.86/13.24 (63365) {G0,W19,D2,L3,V5,M3} { ! circle( U, X, Y, Z ), ! perp( U, X, X, T
% 12.86/13.24 ), eqangle( X, T, X, Y, Z, X, Z, Y ) }.
% 12.86/13.24 (63366) {G0,W19,D2,L3,V5,M3} { ! circle( Y, X, T, U ), ! eqangle( X, Z, X
% 12.86/13.24 , T, U, X, U, T ), perp( Y, X, X, Z ) }.
% 12.86/13.24 (63367) {G0,W18,D2,L3,V5,M3} { ! circle( T, X, Y, Z ), ! midp( U, Y, Z ),
% 12.86/13.24 eqangle( X, Y, X, Z, T, Y, T, U ) }.
% 12.86/13.24 (63368) {G0,W22,D2,L4,V5,M4} { ! circle( U, T, X, Y ), ! coll( Z, X, Y ),
% 12.86/13.24 ! eqangle( T, X, T, Y, U, X, U, Z ), midp( Z, X, Y ) }.
% 12.86/13.24 (63369) {G0,W14,D2,L3,V4,M3} { ! perp( X, Y, Y, T ), ! midp( Z, X, T ),
% 12.86/13.24 cong( X, Z, Y, Z ) }.
% 12.86/13.24 (63370) {G0,W14,D2,L3,V4,M3} { ! circle( T, X, Y, Z ), ! coll( T, X, Z ),
% 12.86/13.24 perp( X, Y, Y, Z ) }.
% 12.86/13.24 (63371) {G0,W19,D2,L3,V4,M3} { ! cyclic( X, Y, Z, T ), ! para( X, Y, Z, T
% 12.86/13.24 ), eqangle( X, T, Z, T, Z, T, Z, Y ) }.
% 12.86/13.24 (63372) {G0,W14,D2,L3,V4,M3} { ! midp( T, X, Y ), ! perp( Z, T, X, Y ),
% 12.86/13.24 cong( Z, X, Z, Y ) }.
% 12.86/13.24 (63373) {G0,W15,D2,L3,V4,M3} { ! cong( X, Z, Y, Z ), ! cong( X, T, Y, T )
% 12.86/13.24 , perp( X, Y, Z, T ) }.
% 12.86/13.24 (63374) {G0,W20,D2,L4,V4,M4} { ! cong( X, Y, T, Y ), ! cong( X, Z, T, Z )
% 12.86/13.24 , ! cyclic( X, T, Y, Z ), perp( Y, X, X, Z ) }.
% 12.86/13.24 (63375) {G0,W29,D2,L4,V6,M4} { ! eqangle( X, Y, Y, Z, T, U, U, W ), !
% 12.86/13.24 eqangle( X, Z, Y, Z, T, W, U, W ), coll( X, Y, Z ), simtri( X, Y, Z, T, U
% 12.86/13.24 , W ) }.
% 12.86/13.24 (63376) {G0,W16,D2,L2,V6,M2} { ! simtri( X, Y, Z, T, U, W ), eqratio( X, Y
% 12.86/13.24 , X, Z, T, U, T, W ) }.
% 12.86/13.24 (63377) {G0,W16,D2,L2,V6,M2} { ! simtri( X, Y, Z, T, U, W ), eqangle( X, Y
% 12.86/13.24 , Y, Z, T, U, U, W ) }.
% 12.86/13.24 (63378) {G0,W19,D2,L3,V6,M3} { ! simtri( X, Y, Z, T, U, W ), ! cong( X, Y
% 12.86/13.24 , T, U ), contri( X, Y, Z, T, U, W ) }.
% 12.86/13.24 (63379) {G0,W12,D2,L2,V6,M2} { ! contri( X, Y, U, Z, T, W ), cong( X, Y, Z
% 12.86/13.24 , T ) }.
% 12.86/13.24 (63380) {G0,W13,D2,L3,V5,M3} { ! midp( U, X, Y ), ! midp( U, Z, T ), para
% 12.86/13.24 ( X, Z, Y, T ) }.
% 12.86/13.24 (63381) {G0,W18,D2,L4,V5,M4} { ! midp( Z, T, U ), ! para( T, X, U, Y ), !
% 12.86/13.24 para( T, Y, U, X ), midp( Z, X, Y ) }.
% 12.86/13.24 (63382) {G0,W22,D2,L4,V5,M4} { ! para( X, Y, Z, T ), ! coll( U, X, Z ), !
% 12.86/13.24 coll( U, Y, T ), eqratio( U, X, X, Z, U, Y, Y, T ) }.
% 12.86/13.24 (63383) {G0,W9,D2,L2,V3,M2} { ! para( X, Y, X, Z ), coll( X, Y, Z ) }.
% 12.86/13.24 (63384) {G0,W13,D2,L3,V3,M3} { ! cong( X, Y, X, Z ), ! coll( X, Y, Z ),
% 12.86/13.24 midp( X, Y, Z ) }.
% 12.86/13.24 (63385) {G0,W9,D2,L2,V3,M2} { ! midp( X, Y, Z ), cong( X, Y, X, Z ) }.
% 12.86/13.24 (63386) {G0,W8,D2,L2,V3,M2} { ! midp( X, Y, Z ), coll( X, Y, Z ) }.
% 12.86/13.24 (63387) {G0,W17,D2,L3,V6,M3} { ! midp( U, X, Y ), ! midp( W, Z, T ),
% 12.86/13.24 eqratio( U, X, X, Y, W, Z, Z, T ) }.
% 12.86/13.24 (63388) {G0,W19,D2,L3,V4,M3} { ! eqangle( X, Y, Z, T, Z, T, X, Y ), para(
% 12.86/13.24 X, Y, Z, T ), perp( X, Y, Z, T ) }.
% 12.86/13.24 (63389) {G0,W19,D2,L3,V4,M3} { ! eqangle( X, Y, Z, T, Z, T, X, Y ), perp(
% 12.86/13.24 X, Y, Z, T ), para( X, Y, Z, T ) }.
% 12.86/13.24 (63390) {G0,W19,D2,L3,V8,M3} { ! eqangle( X, Y, Z, T, U, W, V0, V1 ), !
% 12.86/13.24 para( U, W, V0, V1 ), para( X, Y, Z, T ) }.
% 12.86/13.24 (63391) {G0,W19,D2,L3,V8,M3} { ! eqangle( X, Y, Z, T, U, W, V0, V1 ), !
% 12.86/13.24 perp( U, W, V0, V1 ), perp( X, Y, Z, T ) }.
% 12.86/13.24 (63392) {G0,W19,D2,L3,V8,M3} { ! eqratio( X, Y, Z, T, U, W, V0, V1 ), !
% 12.86/13.24 cong( U, W, V0, V1 ), cong( X, Y, Z, T ) }.
% 12.86/13.24 (63393) {G0,W22,D3,L3,V6,M3} { ! perp( Z, Y, Y, X ), ! eqangle( T, Z, Y, Z
% 12.86/13.24 , Y, Z, X, Z ), coll( skol1( U, W, Z, T ), Z, T ) }.
% 12.86/13.24 (63394) {G0,W22,D3,L3,V4,M3} { ! perp( Z, Y, Y, X ), ! eqangle( T, Z, Y, Z
% 12.86/13.24 , Y, Z, X, Z ), coll( skol1( X, Y, Z, T ), X, Y ) }.
% 12.86/13.24 (63395) {G0,W22,D3,L3,V6,M3} { ! cong( Z, X, Z, Y ), ! eqangle( X, Z, Z, T
% 12.86/13.24 , Z, T, Z, Y ), coll( skol2( U, W, Z, T ), Z, T ) }.
% 12.86/13.24 (63396) {G0,W22,D3,L3,V4,M3} { ! cong( Z, X, Z, Y ), ! eqangle( X, Z, Z, T
% 12.86/13.24 , Z, T, Z, Y ), coll( Y, X, skol2( X, Y, Z, T ) ) }.
% 12.86/13.24 (63397) {G0,W22,D3,L3,V6,M3} { ! perp( Z, T, X, Y ), ! eqangle( X, Z, Z, T
% 12.86/13.24 , Z, T, Z, Y ), coll( skol3( U, W, Z, T ), Z, T ) }.
% 12.86/13.24 (63398) {G0,W22,D3,L3,V4,M3} { ! perp( Z, T, X, Y ), ! eqangle( X, Z, Z, T
% 12.86/13.24 , Z, T, Z, Y ), coll( Y, X, skol3( X, Y, Z, T ) ) }.
% 12.86/13.24 (63399) {G0,W18,D3,L3,V6,M3} { ! perp( Z, T, X, Y ), ! cong( Z, X, Z, Y )
% 12.86/13.24 , coll( skol4( U, W, Z, T ), Z, T ) }.
% 12.86/13.24 (63400) {G0,W18,D3,L3,V4,M3} { ! perp( Z, T, X, Y ), ! cong( Z, X, Z, Y )
% 12.86/13.24 , coll( Y, X, skol4( X, Y, Z, T ) ) }.
% 12.86/13.24 (63401) {G0,W22,D3,L3,V6,M3} { ! eqangle( X, Z, Y, Z, X, T, Y, U ), coll(
% 12.86/13.24 X, Y, Z ), cyclic( T, Y, Z, skol5( W, Y, Z, T ) ) }.
% 12.86/13.24 (63402) {G0,W30,D3,L3,V5,M3} { ! eqangle( X, Z, Y, Z, X, T, Y, U ), coll(
% 12.86/13.24 X, Y, Z ), eqangle( X, Z, Y, Z, X, skol5( X, Y, Z, T ), Y, skol5( X, Y, Z
% 12.86/13.24 , T ) ) }.
% 12.86/13.24 (63403) {G0,W18,D3,L3,V10,M3} { ! midp( U, X, Y ), ! midp( W, Z, T ), midp
% 12.86/13.24 ( skol6( X, V0, V1, T, V2, V3 ), X, T ) }.
% 12.86/13.24 (63404) {G0,W19,D3,L3,V8,M3} { ! midp( U, X, Y ), ! midp( W, Z, T ), para
% 12.86/13.24 ( skol6( X, V0, Z, T, V1, W ), W, X, Z ) }.
% 12.86/13.24 (63405) {G0,W19,D3,L3,V6,M3} { ! midp( U, X, Y ), ! midp( W, Z, T ), para
% 12.86/13.24 ( skol6( X, Y, Z, T, U, W ), U, Y, T ) }.
% 12.86/13.24 (63406) {G0,W22,D3,L5,V7,M5} { ! midp( Z, X, Y ), ! midp( W, T, U ), !
% 12.86/13.24 coll( T, X, Y ), ! coll( U, X, Y ), midp( skol7( X, V0 ), X, V0 ) }.
% 12.86/13.24 (63407) {G0,W26,D3,L5,V8,M5} { ! midp( T, X, U ), ! para( X, W, Z, T ), !
% 12.86/13.24 para( X, W, U, Y ), ! coll( W, Y, Z ), coll( skol8( V0, V1, Z, T ), T, Z
% 12.86/13.24 ) }.
% 12.86/13.24 (63408) {G0,W26,D3,L5,V6,M5} { ! midp( T, X, U ), ! para( X, W, Z, T ), !
% 12.86/13.24 para( X, W, U, Y ), ! coll( W, Y, Z ), coll( skol8( X, Y, Z, T ), X, Y )
% 12.86/13.24 }.
% 12.86/13.24 (63409) {G0,W19,D3,L3,V7,M3} { ! cong( T, Z, T, U ), ! perp( X, Y, Y, T )
% 12.86/13.24 , cong( T, Z, T, skol9( W, V0, Z, T ) ) }.
% 12.86/13.24 (63410) {G0,W19,D3,L3,V6,M3} { ! cong( T, Z, T, U ), ! perp( X, Y, Y, T )
% 12.86/13.24 , cong( Y, Z, Y, skol9( W, Y, Z, T ) ) }.
% 12.86/13.24 (63411) {G0,W19,D3,L3,V5,M3} { ! cong( T, Z, T, U ), ! perp( X, Y, Y, T )
% 12.86/13.24 , para( skol9( X, Y, Z, T ), Z, X, Y ) }.
% 12.86/13.24 (63412) {G0,W17,D3,L3,V5,M3} { ! perp( X, T, Y, Z ), ! perp( Y, T, X, Z )
% 12.86/13.24 , coll( skol10( U, Y, Z ), Z, Y ) }.
% 12.86/13.24 (63413) {G0,W18,D3,L3,V4,M3} { ! perp( X, T, Y, Z ), ! perp( Y, T, X, Z )
% 12.86/13.24 , perp( X, skol10( X, Y, Z ), Z, Y ) }.
% 12.86/13.24 (63414) {G0,W14,D2,L3,V4,M3} { ! perp( X, T, Y, Z ), ! perp( Y, T, X, Z )
% 12.86/13.24 , alpha1( X, Y, Z ) }.
% 12.86/13.24 (63415) {G0,W11,D3,L2,V4,M2} { ! alpha1( X, Y, Z ), coll( skol11( X, T, Z
% 12.86/13.24 ), Z, X ) }.
% 12.86/13.24 (63416) {G0,W12,D3,L2,V3,M2} { ! alpha1( X, Y, Z ), perp( Y, skol11( X, Y
% 12.86/13.24 , Z ), Z, X ) }.
% 12.86/13.24 (63417) {G0,W13,D2,L3,V4,M3} { ! coll( T, Z, X ), ! perp( Y, T, Z, X ),
% 12.86/13.24 alpha1( X, Y, Z ) }.
% 12.86/13.24 (63418) {G0,W12,D3,L2,V4,M2} { ! circle( Y, X, Z, T ), perp( skol12( X, Y
% 12.86/13.24 ), X, X, Y ) }.
% 12.86/13.24 (63419) {G0,W28,D3,L5,V8,M5} { ! circle( W, X, Y, Z ), ! cong( W, X, W, T
% 12.86/13.24 ), ! cong( U, X, U, Y ), W = U, alpha2( X, Z, U, skol13( X, V0, Z, V1, U
% 12.86/13.24 ) ) }.
% 12.86/13.24 (63420) {G0,W26,D3,L5,V8,M5} { ! circle( W, X, Y, Z ), ! cong( W, X, W, T
% 12.86/13.24 ), ! cong( U, X, U, Y ), W = U, coll( skol21( V0, Y, T, V1 ), Y, T ) }.
% 12.86/13.24 (63421) {G0,W27,D3,L5,V6,M5} { ! circle( W, X, Y, Z ), ! cong( W, X, W, T
% 12.86/13.24 ), ! cong( U, X, U, Y ), W = U, cong( skol21( X, Y, T, U ), U, U, X )
% 12.86/13.24 }.
% 12.86/13.24 (63422) {G0,W9,D2,L2,V4,M2} { ! alpha2( X, Y, Z, T ), coll( T, X, Y ) }.
% 12.86/13.24 (63423) {G0,W10,D2,L2,V4,M2} { ! alpha2( X, Y, Z, T ), cong( T, Z, Z, X )
% 12.86/13.24 }.
% 12.86/13.24 (63424) {G0,W14,D2,L3,V4,M3} { ! coll( T, X, Y ), ! cong( T, Z, Z, X ),
% 12.86/13.24 alpha2( X, Y, Z, T ) }.
% 12.86/13.24 (63425) {G0,W22,D3,L4,V5,M4} { ! cyclic( X, Y, Z, T ), ! para( X, Y, Z, T
% 12.86/13.24 ), ! midp( U, X, Y ), circle( skol14( X, Y, Z ), X, Y, Z ) }.
% 12.86/13.24 (63426) {G0,W18,D3,L3,V4,M3} { ! perp( X, Z, Z, Y ), ! cyclic( X, Y, Z, T
% 12.86/13.24 ), circle( skol15( X, Y, Z ), X, Y, Z ) }.
% 12.86/13.24 (63427) {G0,W16,D3,L3,V6,M3} { ! perp( X, U, U, T ), ! coll( T, Y, Z ),
% 12.86/13.24 coll( skol16( W, Y, Z ), Y, Z ) }.
% 12.86/13.24 (63428) {G0,W17,D3,L3,V5,M3} { ! perp( X, U, U, T ), ! coll( T, Y, Z ),
% 12.86/13.24 perp( skol16( X, Y, Z ), X, Y, Z ) }.
% 12.86/13.24 (63429) {G0,W20,D3,L4,V5,M4} { ! perp( X, Z, X, Y ), ! perp( Y, X, Y, T )
% 12.86/13.24 , ! midp( U, Z, T ), midp( skol17( X, Y ), X, Y ) }.
% 12.86/13.24 (63430) {G0,W16,D3,L3,V3,M3} { ! cong( Y, X, Y, Z ), ! perp( X, Y, Y, Z )
% 12.86/13.24 , coll( X, Y, skol18( X, Y ) ) }.
% 12.86/13.24 (63431) {G0,W17,D3,L3,V3,M3} { ! cong( Y, X, Y, Z ), ! perp( X, Y, Y, Z )
% 12.86/13.24 , cong( Y, X, Y, skol18( X, Y ) ) }.
% 12.86/13.24 (63432) {G0,W25,D3,L5,V8,M5} { ! para( U, W, X, Y ), ! coll( Z, U, X ), !
% 12.86/13.24 coll( Z, W, Y ), ! coll( T, U, W ), coll( Z, T, skol19( V0, V1, Z, T ) )
% 12.86/13.24 }.
% 12.86/13.24 (63433) {G0,W25,D3,L5,V6,M5} { ! para( U, W, X, Y ), ! coll( Z, U, X ), !
% 12.86/13.24 coll( Z, W, Y ), ! coll( T, U, W ), coll( skol19( X, Y, Z, T ), X, Y )
% 12.86/13.24 }.
% 12.86/13.24 (63434) {G0,W5,D2,L1,V0,M1} { circle( skol26, skol20, skol24, skol25 ) }.
% 12.86/13.24 (63435) {G0,W5,D2,L1,V0,M1} { perp( skol27, skol25, skol20, skol24 ) }.
% 12.86/13.24 (63436) {G0,W4,D2,L1,V0,M1} { coll( skol27, skol20, skol24 ) }.
% 12.86/13.24 (63437) {G0,W5,D2,L1,V0,M1} { perp( skol28, skol24, skol20, skol25 ) }.
% 12.86/13.24 (63438) {G0,W4,D2,L1,V0,M1} { coll( skol28, skol20, skol25 ) }.
% 12.86/13.24 (63439) {G0,W5,D2,L1,V0,M1} { circle( skol26, skol25, skol22, skol29 ) }.
% 12.86/13.24 (63440) {G0,W4,D2,L1,V0,M1} { coll( skol22, skol25, skol27 ) }.
% 12.86/13.24 (63441) {G0,W4,D2,L1,V0,M1} { coll( skol23, skol25, skol27 ) }.
% 12.86/13.24 (63442) {G0,W4,D2,L1,V0,M1} { coll( skol23, skol24, skol28 ) }.
% 12.86/13.24 (63443) {G0,W5,D2,L1,V0,M1} { ! cong( skol20, skol22, skol20, skol23 ) }.
% 12.86/13.24
% 12.86/13.24
% 12.86/13.24 Total Proof:
% 12.86/13.24
% 12.86/13.24 subsumption: (0) {G0,W8,D2,L2,V3,M2} I { ! coll( X, Y, Z ), coll( X, Z, Y )
% 12.86/13.24 }.
% 12.86/13.24 parent0: (63317) {G0,W8,D2,L2,V3,M2} { ! coll( X, Y, Z ), coll( X, Z, Y )
% 12.86/13.24 }.
% 12.86/13.24 substitution0:
% 12.86/13.24 X := X
% 12.86/13.24 Y := Y
% 12.86/13.24 Z := Z
% 12.86/13.24 end
% 12.86/13.24 permutation0:
% 12.86/13.24 0 ==> 0
% 12.86/13.24 1 ==> 1
% 12.86/13.24 end
% 12.86/13.24
% 12.86/13.24 subsumption: (1) {G0,W8,D2,L2,V3,M2} I { ! coll( X, Y, Z ), coll( Y, X, Z )
% 12.86/13.24 }.
% 12.86/13.24 parent0: (63318) {G0,W8,D2,L2,V3,M2} { ! coll( X, Y, Z ), coll( Y, X, Z )
% 12.86/13.24 }.
% 12.86/13.24 substitution0:
% 12.86/13.24 X := X
% 12.86/13.24 Y := Y
% 12.86/13.24 Z := Z
% 12.86/13.24 end
% 12.86/13.24 permutation0:
% 12.86/13.24 0 ==> 0
% 12.86/13.24 1 ==> 1
% 12.86/13.24 end
% 12.86/13.24
% 12.86/13.24 subsumption: (2) {G0,W12,D2,L3,V4,M3} I { ! coll( X, T, Y ), ! coll( X, T,
% 12.86/13.24 Z ), coll( Y, Z, X ) }.
% 12.86/13.24 parent0: (63319) {G0,W12,D2,L3,V4,M3} { ! coll( X, T, Y ), ! coll( X, T, Z
% 12.86/13.24 ), coll( Y, Z, X ) }.
% 12.86/13.24 substitution0:
% 12.86/13.24 X := X
% 12.86/13.24 Y := Y
% 12.86/13.24 Z := Z
% 12.86/13.24 T := T
% 12.86/13.24 end
% 12.86/13.24 permutation0:
% 12.86/13.24 0 ==> 0
% 12.86/13.24 1 ==> 1
% 12.86/13.24 2 ==> 2
% 12.86/13.24 end
% 12.86/13.24
% 12.86/13.24 subsumption: (6) {G0,W10,D2,L2,V4,M2} I { ! perp( X, Y, Z, T ), perp( X, Y
% 12.86/13.24 , T, Z ) }.
% 12.86/13.24 parent0: (63323) {G0,W10,D2,L2,V4,M2} { ! perp( X, Y, Z, T ), perp( X, Y,
% 12.86/13.24 T, Z ) }.
% 12.86/13.24 substitution0:
% 12.86/13.24 X := X
% 12.86/13.24 Y := Y
% 12.86/13.24 Z := Z
% 12.86/13.24 T := T
% 12.86/13.24 end
% 12.86/13.24 permutation0:
% 12.86/13.24 0 ==> 0
% 12.86/13.24 1 ==> 1
% 12.86/13.24 end
% 12.86/13.24
% 12.86/13.24 subsumption: (7) {G0,W10,D2,L2,V4,M2} I { ! perp( X, Y, Z, T ), perp( Z, T
% 12.86/13.24 , X, Y ) }.
% 12.86/13.24 parent0: (63324) {G0,W10,D2,L2,V4,M2} { ! perp( X, Y, Z, T ), perp( Z, T,
% 12.86/13.24 X, Y ) }.
% 12.86/13.24 substitution0:
% 12.86/13.24 X := X
% 12.86/13.24 Y := Y
% 12.86/13.24 Z := Z
% 12.86/13.24 T := T
% 12.86/13.24 end
% 12.86/13.24 permutation0:
% 12.86/13.24 0 ==> 0
% 12.86/13.24 1 ==> 1
% 12.86/13.24 end
% 12.86/13.24
% 12.86/13.24 subsumption: (8) {G0,W15,D2,L3,V6,M3} I { ! perp( X, Y, U, W ), ! perp( U,
% 12.86/13.24 W, Z, T ), para( X, Y, Z, T ) }.
% 12.86/13.24 parent0: (63325) {G0,W15,D2,L3,V6,M3} { ! perp( X, Y, U, W ), ! perp( U, W
% 12.86/13.24 , Z, T ), para( X, Y, Z, T ) }.
% 12.86/13.24 substitution0:
% 12.86/13.24 X := X
% 12.86/13.24 Y := Y
% 12.86/13.24 Z := Z
% 12.86/13.24 T := T
% 12.86/13.24 U := U
% 12.86/13.24 W := W
% 12.86/13.24 end
% 12.86/13.24 permutation0:
% 12.86/13.24 0 ==> 0
% 12.86/13.24 1 ==> 1
% 12.86/13.24 2 ==> 2
% 12.86/13.24 end
% 12.86/13.24
% 12.86/13.24 subsumption: (13) {G0,W10,D2,L2,V4,M2} I { ! cyclic( X, Y, Z, T ), cyclic(
% 12.86/13.24 X, Y, T, Z ) }.
% 12.86/13.24 parent0: (63330) {G0,W10,D2,L2,V4,M2} { ! cyclic( X, Y, Z, T ), cyclic( X
% 12.86/13.24 , Y, T, Z ) }.
% 12.86/13.24 substitution0:
% 12.86/13.24 X := X
% 12.86/13.24 Y := Y
% 12.86/13.24 Z := Z
% 12.86/13.24 T := T
% 12.86/13.24 end
% 12.86/13.24 permutation0:
% 12.86/13.24 0 ==> 0
% 12.86/13.24 1 ==> 1
% 12.86/13.24 end
% 12.86/13.24
% 12.86/13.24 subsumption: (14) {G0,W10,D2,L2,V4,M2} I { ! cyclic( X, Y, Z, T ), cyclic(
% 12.86/13.24 X, Z, Y, T ) }.
% 12.86/13.24 parent0: (63331) {G0,W10,D2,L2,V4,M2} { ! cyclic( X, Y, Z, T ), cyclic( X
% 12.86/13.24 , Z, Y, T ) }.
% 12.86/13.24 substitution0:
% 12.86/13.24 X := X
% 12.86/13.24 Y := Y
% 12.86/13.24 Z := Z
% 12.86/13.24 T := T
% 12.86/13.24 end
% 12.86/13.24 permutation0:
% 12.86/13.24 0 ==> 0
% 12.86/13.24 1 ==> 1
% 12.86/13.24 end
% 12.86/13.24
% 12.86/13.24 subsumption: (15) {G0,W10,D2,L2,V4,M2} I { ! cyclic( X, Y, Z, T ), cyclic(
% 12.86/13.24 Y, X, Z, T ) }.
% 12.86/13.24 parent0: (63332) {G0,W10,D2,L2,V4,M2} { ! cyclic( X, Y, Z, T ), cyclic( Y
% 12.86/13.24 , X, Z, T ) }.
% 12.86/13.24 substitution0:
% 12.86/13.24 X := X
% 12.86/13.24 Y := Y
% 12.86/13.24 Z := Z
% 12.86/13.24 T := T
% 12.86/13.24 end
% 12.86/13.24 permutation0:
% 12.86/13.24 0 ==> 0
% 12.86/13.24 1 ==> 1
% 12.86/13.24 end
% 12.86/13.24
% 12.86/13.24 subsumption: (16) {G0,W15,D2,L3,V5,M3} I { ! cyclic( U, X, Y, Z ), ! cyclic
% 12.86/13.24 ( U, X, Y, T ), cyclic( X, Y, Z, T ) }.
% 12.86/13.24 parent0: (63333) {G0,W15,D2,L3,V5,M3} { ! cyclic( U, X, Y, Z ), ! cyclic(
% 12.86/13.24 U, X, Y, T ), cyclic( X, Y, Z, T ) }.
% 12.86/13.24 substitution0:
% 12.86/13.24 X := X
% 12.86/13.24 Y := Y
% 12.86/13.24 Z := Z
% 12.86/13.24 T := T
% 12.86/13.24 U := U
% 12.86/13.24 end
% 12.86/13.24 permutation0:
% 12.86/13.24 0 ==> 0
% 12.86/13.24 1 ==> 1
% 12.86/13.24 2 ==> 2
% 12.86/13.24 end
% 12.86/13.24
% 12.86/13.24 subsumption: (18) {G0,W18,D2,L2,V8,M2} I { ! eqangle( X, Y, Z, T, U, W, V0
% 12.86/13.24 , V1 ), eqangle( Z, T, X, Y, V0, V1, U, W ) }.
% 12.86/13.24 parent0: (63335) {G0,W18,D2,L2,V8,M2} { ! eqangle( X, Y, Z, T, U, W, V0,
% 12.86/13.24 V1 ), eqangle( Z, T, X, Y, V0, V1, U, W ) }.
% 12.86/13.24 substitution0:
% 12.86/13.24 X := X
% 12.86/13.24 Y := Y
% 12.86/13.24 Z := Z
% 12.86/13.24 T := T
% 12.86/13.24 U := U
% 12.86/13.24 W := W
% 12.86/13.24 V0 := V0
% 12.86/13.24 V1 := V1
% 12.86/13.24 end
% 12.86/13.24 permutation0:
% 12.86/13.24 0 ==> 0
% 12.86/13.24 1 ==> 1
% 12.86/13.24 end
% 12.86/13.24
% 12.86/13.24 subsumption: (22) {G0,W10,D2,L2,V4,M2} I { ! cong( X, Y, Z, T ), cong( X, Y
% 12.86/13.24 , T, Z ) }.
% 12.86/13.24 parent0: (63339) {G0,W10,D2,L2,V4,M2} { ! cong( X, Y, Z, T ), cong( X, Y,
% 12.86/13.24 T, Z ) }.
% 12.86/13.24 substitution0:
% 12.86/13.24 X := X
% 12.86/13.24 Y := Y
% 12.86/13.24 Z := Z
% 12.86/13.24 T := T
% 12.86/13.24 end
% 12.86/13.24 permutation0:
% 12.86/13.24 0 ==> 0
% 12.86/13.24 1 ==> 1
% 12.86/13.24 end
% 12.86/13.24
% 12.86/13.24 subsumption: (23) {G0,W10,D2,L2,V4,M2} I { ! cong( X, Y, Z, T ), cong( Z, T
% 12.86/13.24 , X, Y ) }.
% 12.86/13.24 parent0: (63340) {G0,W10,D2,L2,V4,M2} { ! cong( X, Y, Z, T ), cong( Z, T,
% 12.86/13.24 X, Y ) }.
% 12.86/13.24 substitution0:
% 12.86/13.24 X := X
% 12.86/13.24 Y := Y
% 12.86/13.24 Z := Z
% 12.86/13.24 T := T
% 12.86/13.24 end
% 12.86/13.24 permutation0:
% 12.86/13.24 0 ==> 0
% 12.86/13.24 1 ==> 1
% 12.86/13.24 end
% 12.86/13.24
% 12.86/13.24 subsumption: (24) {G0,W15,D2,L3,V6,M3} I { ! cong( X, Y, U, W ), ! cong( U
% 12.86/13.24 , W, Z, T ), cong( X, Y, Z, T ) }.
% 12.86/13.24 parent0: (63341) {G0,W15,D2,L3,V6,M3} { ! cong( X, Y, U, W ), ! cong( U, W
% 12.86/13.24 , Z, T ), cong( X, Y, Z, T ) }.
% 12.86/13.24 substitution0:
% 12.86/13.24 X := X
% 12.86/13.24 Y := Y
% 12.86/13.24 Z := Z
% 12.86/13.24 T := T
% 12.86/13.24 U := U
% 12.86/13.24 W := W
% 12.86/13.24 end
% 12.86/13.24 permutation0:
% 12.86/13.24 0 ==> 0
% 12.86/13.24 1 ==> 1
% 12.86/13.24 2 ==> 2
% 12.86/13.24 end
% 12.86/13.24
% 12.86/13.24 subsumption: (38) {G0,W14,D2,L2,V6,M2} I { ! eqangle( X, Y, U, W, Z, T, U,
% 12.86/13.24 W ), para( X, Y, Z, T ) }.
% 12.86/13.24 parent0: (63355) {G0,W14,D2,L2,V6,M2} { ! eqangle( X, Y, U, W, Z, T, U, W
% 12.86/13.24 ), para( X, Y, Z, T ) }.
% 12.86/13.24 substitution0:
% 12.86/13.24 X := X
% 12.86/13.24 Y := Y
% 12.86/13.24 Z := Z
% 12.86/13.24 T := T
% 12.86/13.24 U := U
% 12.86/13.24 W := W
% 12.86/13.24 end
% 12.86/13.24 permutation0:
% 12.86/13.24 0 ==> 0
% 12.86/13.24 1 ==> 1
% 12.86/13.24 end
% 12.86/13.24
% 12.86/13.24 subsumption: (39) {G0,W14,D2,L2,V6,M2} I { ! para( X, Y, Z, T ), eqangle( X
% 12.86/13.24 , Y, U, W, Z, T, U, W ) }.
% 12.86/13.24 parent0: (63356) {G0,W14,D2,L2,V6,M2} { ! para( X, Y, Z, T ), eqangle( X,
% 12.86/13.24 Y, U, W, Z, T, U, W ) }.
% 12.86/13.24 substitution0:
% 12.86/13.24 X := X
% 12.86/13.24 Y := Y
% 12.86/13.24 Z := Z
% 12.86/13.24 T := T
% 12.86/13.24 U := U
% 12.86/13.24 W := W
% 12.86/13.24 end
% 12.86/13.24 permutation0:
% 12.86/13.24 0 ==> 0
% 12.86/13.24 1 ==> 1
% 12.86/13.24 end
% 12.86/13.24
% 12.86/13.24 subsumption: (40) {G0,W14,D2,L2,V4,M2} I { ! cyclic( X, Y, Z, T ), eqangle
% 12.86/13.24 ( Z, X, Z, Y, T, X, T, Y ) }.
% 12.86/13.24 parent0: (63357) {G0,W14,D2,L2,V4,M2} { ! cyclic( X, Y, Z, T ), eqangle( Z
% 12.86/13.24 , X, Z, Y, T, X, T, Y ) }.
% 12.86/13.24 substitution0:
% 12.86/13.24 X := X
% 12.86/13.24 Y := Y
% 12.86/13.24 Z := Z
% 12.86/13.24 T := T
% 12.86/13.24 end
% 12.86/13.24 permutation0:
% 12.86/13.24 0 ==> 0
% 12.86/13.24 1 ==> 1
% 12.86/13.24 end
% 12.86/13.24
% 12.86/13.24 subsumption: (42) {G0,W18,D2,L3,V4,M3} I { ! eqangle( Z, X, Z, Y, T, X, T,
% 12.86/13.24 Y ), ! coll( Z, T, Y ), cyclic( X, Y, Z, T ) }.
% 12.86/13.24 parent0: (63359) {G0,W18,D2,L3,V4,M3} { ! eqangle( Z, X, Z, Y, T, X, T, Y
% 12.86/13.24 ), ! coll( Z, T, Y ), cyclic( X, Y, Z, T ) }.
% 12.86/13.24 substitution0:
% 12.86/13.24 X := X
% 12.86/13.24 Y := Y
% 12.86/13.24 Z := Z
% 12.86/13.24 T := T
% 12.86/13.24 end
% 12.86/13.24 permutation0:
% 12.86/13.24 0 ==> 0
% 12.86/13.24 1 ==> 1
% 12.86/13.24 2 ==> 2
% 12.86/13.24 end
% 12.86/13.24
% 12.86/13.24 subsumption: (43) {G0,W29,D2,L5,V6,M5} I { ! cyclic( X, Y, U, Z ), ! cyclic
% 12.86/13.24 ( X, Y, U, T ), ! cyclic( X, Y, U, W ), ! eqangle( U, X, U, Y, W, Z, W, T
% 12.86/13.24 ), cong( X, Y, Z, T ) }.
% 12.86/13.24 parent0: (63360) {G0,W29,D2,L5,V6,M5} { ! cyclic( X, Y, U, Z ), ! cyclic(
% 12.86/13.24 X, Y, U, T ), ! cyclic( X, Y, U, W ), ! eqangle( U, X, U, Y, W, Z, W, T )
% 12.86/13.24 , cong( X, Y, Z, T ) }.
% 12.86/13.24 substitution0:
% 12.86/13.24 X := X
% 12.86/13.24 Y := Y
% 12.86/13.24 Z := Z
% 12.86/13.24 T := T
% 12.86/13.24 U := U
% 12.86/13.24 W := W
% 12.86/13.24 end
% 12.86/13.24 permutation0:
% 12.86/13.24 0 ==> 0
% 12.86/13.24 1 ==> 1
% 12.86/13.24 2 ==> 2
% 12.86/13.24 3 ==> 3
% 12.86/13.24 4 ==> 4
% 12.86/13.24 end
% 12.86/13.24
% 12.86/13.24 subsumption: (52) {G0,W14,D2,L3,V4,M3} I { ! perp( X, Y, Y, T ), ! midp( Z
% 12.86/13.24 , X, T ), cong( X, Z, Y, Z ) }.
% 12.86/13.24 parent0: (63369) {G0,W14,D2,L3,V4,M3} { ! perp( X, Y, Y, T ), ! midp( Z, X
% 12.86/13.24 , T ), cong( X, Z, Y, Z ) }.
% 12.86/13.24 substitution0:
% 12.86/13.24 X := X
% 12.86/13.24 Y := Y
% 12.86/13.24 Z := Z
% 12.86/13.24 T := T
% 12.86/13.24 end
% 12.86/13.24 permutation0:
% 12.86/13.24 0 ==> 0
% 12.86/13.24 1 ==> 1
% 12.86/13.24 2 ==> 2
% 12.86/13.24 end
% 12.86/13.24
% 12.86/13.24 subsumption: (57) {G0,W20,D2,L4,V4,M4} I { ! cong( X, Y, T, Y ), ! cong( X
% 12.86/13.24 , Z, T, Z ), ! cyclic( X, T, Y, Z ), perp( Y, X, X, Z ) }.
% 12.86/13.24 parent0: (63374) {G0,W20,D2,L4,V4,M4} { ! cong( X, Y, T, Y ), ! cong( X, Z
% 12.86/13.24 , T, Z ), ! cyclic( X, T, Y, Z ), perp( Y, X, X, Z ) }.
% 12.86/13.24 substitution0:
% 12.86/13.24 X := X
% 12.86/13.24 Y := Y
% 12.86/13.24 Z := Z
% 12.86/13.24 T := T
% 12.86/13.24 end
% 12.86/13.24 permutation0:
% 12.86/13.24 0 ==> 0
% 12.86/13.24 1 ==> 1
% 12.86/13.24 2 ==> 2
% 12.86/13.24 3 ==> 3
% 12.86/13.24 end
% 12.86/13.24
% 12.86/13.24 subsumption: (66) {G0,W9,D2,L2,V3,M2} I { ! para( X, Y, X, Z ), coll( X, Y
% 12.86/13.24 , Z ) }.
% 12.86/13.24 parent0: (63383) {G0,W9,D2,L2,V3,M2} { ! para( X, Y, X, Z ), coll( X, Y, Z
% 12.86/13.24 ) }.
% 12.86/13.24 substitution0:
% 12.86/13.24 X := X
% 12.86/13.24 Y := Y
% 12.86/13.24 Z := Z
% 12.86/13.24 end
% 12.86/13.24 permutation0:
% 12.86/13.24 0 ==> 0
% 12.86/13.24 1 ==> 1
% 12.86/13.24 end
% 12.86/13.24
% 12.86/13.24 subsumption: (67) {G0,W13,D2,L3,V3,M3} I { ! cong( X, Y, X, Z ), ! coll( X
% 12.86/13.24 , Y, Z ), midp( X, Y, Z ) }.
% 12.86/13.24 parent0: (63384) {G0,W13,D2,L3,V3,M3} { ! cong( X, Y, X, Z ), ! coll( X, Y
% 12.86/13.24 , Z ), midp( X, Y, Z ) }.
% 12.86/13.24 substitution0:
% 12.86/13.24 X := X
% 12.86/13.24 Y := Y
% 12.86/13.24 Z := Z
% 12.86/13.24 end
% 12.86/13.24 permutation0:
% 12.86/13.24 0 ==> 0
% 12.86/13.24 1 ==> 1
% 12.86/13.24 2 ==> 2
% 12.86/13.24 end
% 12.86/13.24
% 12.86/13.24 subsumption: (117) {G0,W5,D2,L1,V0,M1} I { perp( skol27, skol25, skol20,
% 12.86/13.24 skol24 ) }.
% 12.86/13.24 parent0: (63435) {G0,W5,D2,L1,V0,M1} { perp( skol27, skol25, skol20,
% 12.86/13.24 skol24 ) }.
% 12.86/13.24 substitution0:
% 12.86/13.24 end
% 12.86/13.24 permutation0:
% 12.86/13.24 0 ==> 0
% 12.86/13.24 end
% 12.86/13.24
% 12.86/13.24 subsumption: (122) {G0,W4,D2,L1,V0,M1} I { coll( skol22, skol25, skol27 )
% 12.86/13.24 }.
% 12.86/13.24 parent0: (63440) {G0,W4,D2,L1,V0,M1} { coll( skol22, skol25, skol27 ) }.
% 12.86/13.24 substitution0:
% 12.86/13.24 end
% 12.86/13.24 permutation0:
% 12.86/13.24 0 ==> 0
% 12.86/13.24 end
% 12.86/13.24
% 12.86/13.24 subsumption: (125) {G0,W5,D2,L1,V0,M1} I { ! cong( skol20, skol22, skol20,
% 12.86/13.24 skol23 ) }.
% 12.86/13.24 parent0: (63443) {G0,W5,D2,L1,V0,M1} { ! cong( skol20, skol22, skol20,
% 12.86/13.24 skol23 ) }.
% 12.86/13.24 substitution0:
% 12.86/13.24 end
% 12.86/13.24 permutation0:
% 12.86/13.24 0 ==> 0
% 12.86/13.24 end
% 12.86/13.24
% 12.86/13.24 resolution: (63845) {G1,W4,D2,L1,V0,M1} { coll( skol22, skol27, skol25 )
% 12.86/13.24 }.
% 12.86/13.24 parent0[0]: (0) {G0,W8,D2,L2,V3,M2} I { ! coll( X, Y, Z ), coll( X, Z, Y )
% 12.86/13.24 }.
% 12.86/13.24 parent1[0]: (122) {G0,W4,D2,L1,V0,M1} I { coll( skol22, skol25, skol27 )
% 12.86/13.24 }.
% 12.86/13.24 substitution0:
% 12.86/13.24 X := skol22
% 12.86/13.24 Y := skol25
% 12.86/13.24 Z := skol27
% 12.86/13.24 end
% 12.86/13.24 substitution1:
% 12.86/13.24 end
% 12.86/13.24
% 12.86/13.24 subsumption: (165) {G1,W4,D2,L1,V0,M1} R(0,122) { coll( skol22, skol27,
% 12.86/13.24 skol25 ) }.
% 12.86/13.24 parent0: (63845) {G1,W4,D2,L1,V0,M1} { coll( skol22, skol27, skol25 ) }.
% 12.86/13.24 substitution0:
% 12.86/13.24 end
% 12.86/13.24 permutation0:
% 12.86/13.24 0 ==> 0
% 12.86/13.24 end
% 12.86/13.24
% 12.86/13.24 resolution: (63846) {G1,W4,D2,L1,V0,M1} { coll( skol27, skol22, skol25 )
% 12.86/13.24 }.
% 12.86/13.24 parent0[0]: (1) {G0,W8,D2,L2,V3,M2} I { ! coll( X, Y, Z ), coll( Y, X, Z )
% 12.86/13.24 }.
% 12.86/13.24 parent1[0]: (165) {G1,W4,D2,L1,V0,M1} R(0,122) { coll( skol22, skol27,
% 12.86/13.24 skol25 ) }.
% 12.86/13.24 substitution0:
% 12.86/13.24 X := skol22
% 12.86/13.24 Y := skol27
% 12.86/13.24 Z := skol25
% 12.86/13.24 end
% 12.86/13.24 substitution1:
% 12.86/13.24 end
% 12.86/13.24
% 12.86/13.24 subsumption: (169) {G2,W4,D2,L1,V0,M1} R(1,165) { coll( skol27, skol22,
% 12.86/13.24 skol25 ) }.
% 12.86/13.24 parent0: (63846) {G1,W4,D2,L1,V0,M1} { coll( skol27, skol22, skol25 ) }.
% 12.86/13.24 substitution0:
% 12.86/13.24 end
% 12.86/13.24 permutation0:
% 12.86/13.24 0 ==> 0
% 12.86/13.24 end
% 12.86/13.24
% 12.86/13.24 resolution: (63850) {G1,W12,D2,L3,V4,M3} { coll( X, Z, Y ), ! coll( Z, T,
% 12.86/13.24 X ), ! coll( Z, T, Y ) }.
% 12.86/13.24 parent0[0]: (0) {G0,W8,D2,L2,V3,M2} I { ! coll( X, Y, Z ), coll( X, Z, Y )
% 12.86/13.24 }.
% 12.86/13.24 parent1[2]: (2) {G0,W12,D2,L3,V4,M3} I { ! coll( X, T, Y ), ! coll( X, T, Z
% 12.86/13.24 ), coll( Y, Z, X ) }.
% 12.86/13.24 substitution0:
% 12.86/13.24 X := X
% 12.86/13.24 Y := Y
% 12.86/13.24 Z := Z
% 12.86/13.24 end
% 12.86/13.24 substitution1:
% 12.86/13.24 X := Z
% 12.86/13.24 Y := X
% 12.86/13.24 Z := Y
% 12.86/13.24 T := T
% 12.86/13.24 end
% 12.86/13.24
% 12.86/13.24 subsumption: (204) {G1,W12,D2,L3,V4,M3} R(2,0) { ! coll( X, Y, Z ), ! coll
% 12.86/13.24 ( X, Y, T ), coll( Z, X, T ) }.
% 12.86/13.24 parent0: (63850) {G1,W12,D2,L3,V4,M3} { coll( X, Z, Y ), ! coll( Z, T, X )
% 12.86/13.24 , ! coll( Z, T, Y ) }.
% 12.86/13.24 substitution0:
% 12.86/13.24 X := Z
% 12.86/13.24 Y := T
% 12.86/13.24 Z := X
% 12.86/13.24 T := Y
% 12.86/13.24 end
% 12.86/13.24 permutation0:
% 12.86/13.24 0 ==> 2
% 12.86/13.24 1 ==> 0
% 12.86/13.24 2 ==> 1
% 12.86/13.24 end
% 12.86/13.24
% 12.86/13.24 factor: (63852) {G1,W8,D2,L2,V3,M2} { ! coll( X, Y, Z ), coll( Z, X, Z )
% 12.86/13.24 }.
% 12.86/13.24 parent0[0, 1]: (204) {G1,W12,D2,L3,V4,M3} R(2,0) { ! coll( X, Y, Z ), !
% 12.86/13.24 coll( X, Y, T ), coll( Z, X, T ) }.
% 12.86/13.24 substitution0:
% 12.86/13.24 X := X
% 12.86/13.24 Y := Y
% 12.86/13.24 Z := Z
% 12.86/13.24 T := Z
% 12.86/13.24 end
% 12.86/13.24
% 12.86/13.24 subsumption: (215) {G2,W8,D2,L2,V3,M2} F(204) { ! coll( X, Y, Z ), coll( Z
% 12.86/13.24 , X, Z ) }.
% 12.86/13.24 parent0: (63852) {G1,W8,D2,L2,V3,M2} { ! coll( X, Y, Z ), coll( Z, X, Z )
% 12.86/13.24 }.
% 12.86/13.24 substitution0:
% 12.86/13.24 X := X
% 12.86/13.24 Y := Y
% 12.86/13.24 Z := Z
% 12.86/13.24 end
% 12.86/13.24 permutation0:
% 12.86/13.24 0 ==> 0
% 12.86/13.24 1 ==> 1
% 12.86/13.24 end
% 12.86/13.24
% 12.86/13.24 resolution: (63854) {G1,W15,D2,L3,V6,M3} { ! perp( X, Y, Z, T ), para( X,
% 12.86/13.24 Y, U, W ), ! perp( U, W, Z, T ) }.
% 12.86/13.24 parent0[1]: (8) {G0,W15,D2,L3,V6,M3} I { ! perp( X, Y, U, W ), ! perp( U, W
% 12.86/13.24 , Z, T ), para( X, Y, Z, T ) }.
% 12.86/13.24 parent1[1]: (7) {G0,W10,D2,L2,V4,M2} I { ! perp( X, Y, Z, T ), perp( Z, T,
% 12.86/13.24 X, Y ) }.
% 12.86/13.24 substitution0:
% 12.86/13.24 X := X
% 12.86/13.24 Y := Y
% 12.86/13.24 Z := U
% 12.86/13.24 T := W
% 12.86/13.24 U := Z
% 12.86/13.24 W := T
% 12.86/13.24 end
% 12.86/13.24 substitution1:
% 12.86/13.24 X := U
% 12.86/13.24 Y := W
% 12.86/13.24 Z := Z
% 12.86/13.24 T := T
% 12.86/13.24 end
% 12.86/13.24
% 12.86/13.24 subsumption: (287) {G1,W15,D2,L3,V6,M3} R(8,7) { ! perp( X, Y, Z, T ), para
% 12.86/13.24 ( X, Y, U, W ), ! perp( U, W, Z, T ) }.
% 12.86/13.24 parent0: (63854) {G1,W15,D2,L3,V6,M3} { ! perp( X, Y, Z, T ), para( X, Y,
% 12.86/13.24 U, W ), ! perp( U, W, Z, T ) }.
% 12.86/13.24 substitution0:
% 12.86/13.24 X := X
% 12.86/13.24 Y := Y
% 12.86/13.24 Z := Z
% 12.86/13.24 T := T
% 12.86/13.24 U := U
% 12.86/13.24 W := W
% 12.86/13.24 end
% 12.86/13.24 permutation0:
% 12.86/13.24 0 ==> 0
% 12.86/13.24 1 ==> 1
% 12.86/13.24 2 ==> 2
% 12.86/13.24 end
% 12.86/13.24
% 12.86/13.24 factor: (63857) {G1,W10,D2,L2,V4,M2} { ! perp( X, Y, Z, T ), para( X, Y, X
% 12.86/13.24 , Y ) }.
% 12.86/13.24 parent0[0, 2]: (287) {G1,W15,D2,L3,V6,M3} R(8,7) { ! perp( X, Y, Z, T ),
% 12.86/13.24 para( X, Y, U, W ), ! perp( U, W, Z, T ) }.
% 12.86/13.24 substitution0:
% 12.86/13.24 X := X
% 12.86/13.24 Y := Y
% 12.86/13.24 Z := Z
% 12.86/13.24 T := T
% 12.86/13.24 U := X
% 12.86/13.24 W := Y
% 12.86/13.24 end
% 12.86/13.24
% 12.86/13.24 subsumption: (297) {G2,W10,D2,L2,V4,M2} F(287) { ! perp( X, Y, Z, T ), para
% 12.86/13.24 ( X, Y, X, Y ) }.
% 12.86/13.24 parent0: (63857) {G1,W10,D2,L2,V4,M2} { ! perp( X, Y, Z, T ), para( X, Y,
% 12.86/13.24 X, Y ) }.
% 12.86/13.24 substitution0:
% 12.86/13.24 X := X
% 12.86/13.24 Y := Y
% 12.86/13.24 Z := Z
% 12.86/13.24 T := T
% 12.86/13.24 end
% 12.86/13.24 permutation0:
% 12.86/13.24 0 ==> 0
% 12.86/13.24 1 ==> 1
% 12.86/13.24 end
% 12.86/13.24
% 12.86/13.24 resolution: (63858) {G1,W5,D2,L1,V0,M1} { perp( skol20, skol24, skol27,
% 12.86/13.24 skol25 ) }.
% 12.86/13.24 parent0[0]: (7) {G0,W10,D2,L2,V4,M2} I { ! perp( X, Y, Z, T ), perp( Z, T,
% 12.86/13.24 X, Y ) }.
% 12.86/13.24 parent1[0]: (117) {G0,W5,D2,L1,V0,M1} I { perp( skol27, skol25, skol20,
% 12.86/13.24 skol24 ) }.
% 12.86/13.24 substitution0:
% 12.86/13.24 X := skol27
% 12.86/13.24 Y := skol25
% 12.86/13.24 Z := skol20
% 12.86/13.24 T := skol24
% 12.86/13.24 end
% 12.86/13.24 substitution1:
% 12.86/13.24 end
% 12.86/13.24
% 12.86/13.24 subsumption: (308) {G1,W5,D2,L1,V0,M1} R(117,7) { perp( skol20, skol24,
% 12.86/13.24 skol27, skol25 ) }.
% 12.86/13.24 parent0: (63858) {G1,W5,D2,L1,V0,M1} { perp( skol20, skol24, skol27,
% 12.86/13.24 skol25 ) }.
% 12.86/13.24 substitution0:
% 12.86/13.24 end
% 12.86/13.24 permutation0:
% 12.86/13.24 0 ==> 0
% 12.86/13.24 end
% 12.86/13.24
% 12.86/13.24 resolution: (63859) {G1,W5,D2,L1,V0,M1} { perp( skol20, skol24, skol25,
% 12.86/13.24 skol27 ) }.
% 12.86/13.24 parent0[0]: (6) {G0,W10,D2,L2,V4,M2} I { ! perp( X, Y, Z, T ), perp( X, Y,
% 12.86/13.24 T, Z ) }.
% 12.86/13.24 parent1[0]: (308) {G1,W5,D2,L1,V0,M1} R(117,7) { perp( skol20, skol24,
% 12.86/13.24 skol27, skol25 ) }.
% 12.86/13.24 substitution0:
% 12.86/13.24 X := skol20
% 12.86/13.24 Y := skol24
% 12.86/13.24 Z := skol27
% 12.86/13.24 T := skol25
% 12.86/13.24 end
% 12.86/13.24 substitution1:
% 12.86/13.24 end
% 12.86/13.24
% 12.86/13.24 subsumption: (330) {G2,W5,D2,L1,V0,M1} R(308,6) { perp( skol20, skol24,
% 12.86/13.24 skol25, skol27 ) }.
% 12.86/13.24 parent0: (63859) {G1,W5,D2,L1,V0,M1} { perp( skol20, skol24, skol25,
% 12.86/13.24 skol27 ) }.
% 12.86/13.24 substitution0:
% 12.86/13.24 end
% 12.86/13.24 permutation0:
% 12.86/13.24 0 ==> 0
% 12.86/13.24 end
% 12.86/13.24
% 12.86/13.24 resolution: (63860) {G1,W5,D2,L1,V0,M1} { perp( skol25, skol27, skol20,
% 12.86/13.24 skol24 ) }.
% 12.86/13.24 parent0[0]: (7) {G0,W10,D2,L2,V4,M2} I { ! perp( X, Y, Z, T ), perp( Z, T,
% 12.86/13.24 X, Y ) }.
% 12.86/13.24 parent1[0]: (330) {G2,W5,D2,L1,V0,M1} R(308,6) { perp( skol20, skol24,
% 12.86/13.24 skol25, skol27 ) }.
% 12.86/13.24 substitution0:
% 12.86/13.24 X := skol20
% 12.86/13.24 Y := skol24
% 12.86/13.24 Z := skol25
% 12.86/13.24 T := skol27
% 12.86/13.24 end
% 12.86/13.24 substitution1:
% 12.86/13.24 end
% 12.86/13.24
% 12.86/13.24 subsumption: (334) {G3,W5,D2,L1,V0,M1} R(330,7) { perp( skol25, skol27,
% 12.86/13.24 skol20, skol24 ) }.
% 12.86/13.24 parent0: (63860) {G1,W5,D2,L1,V0,M1} { perp( skol25, skol27, skol20,
% 12.86/13.24 skol24 ) }.
% 12.86/13.24 substitution0:
% 12.86/13.24 end
% 12.86/13.24 permutation0:
% 12.86/13.24 0 ==> 0
% 12.86/13.24 end
% 12.86/13.24
% 12.86/13.24 resolution: (63861) {G1,W5,D2,L1,V0,M1} { perp( skol25, skol27, skol24,
% 12.86/13.24 skol20 ) }.
% 12.86/13.24 parent0[0]: (6) {G0,W10,D2,L2,V4,M2} I { ! perp( X, Y, Z, T ), perp( X, Y,
% 12.86/13.24 T, Z ) }.
% 12.86/13.24 parent1[0]: (334) {G3,W5,D2,L1,V0,M1} R(330,7) { perp( skol25, skol27,
% 12.86/13.24 skol20, skol24 ) }.
% 12.86/13.24 substitution0:
% 12.86/13.24 X := skol25
% 12.86/13.24 Y := skol27
% 12.86/13.24 Z := skol20
% 12.86/13.24 T := skol24
% 12.86/13.24 end
% 12.86/13.24 substitution1:
% 12.86/13.24 end
% 12.86/13.24
% 12.86/13.24 subsumption: (338) {G4,W5,D2,L1,V0,M1} R(334,6) { perp( skol25, skol27,
% 12.86/13.24 skol24, skol20 ) }.
% 12.86/13.24 parent0: (63861) {G1,W5,D2,L1,V0,M1} { perp( skol25, skol27, skol24,
% 12.86/13.24 skol20 ) }.
% 12.86/13.24 substitution0:
% 12.86/13.24 end
% 12.86/13.24 permutation0:
% 12.86/13.24 0 ==> 0
% 12.86/13.24 end
% 12.86/13.24
% 12.86/13.24 resolution: (63862) {G3,W4,D2,L1,V0,M1} { coll( skol25, skol27, skol25 )
% 12.86/13.24 }.
% 12.86/13.24 parent0[0]: (215) {G2,W8,D2,L2,V3,M2} F(204) { ! coll( X, Y, Z ), coll( Z,
% 12.86/13.24 X, Z ) }.
% 12.86/13.24 parent1[0]: (169) {G2,W4,D2,L1,V0,M1} R(1,165) { coll( skol27, skol22,
% 12.86/13.24 skol25 ) }.
% 12.86/13.24 substitution0:
% 12.86/13.24 X := skol27
% 12.86/13.24 Y := skol22
% 12.86/13.24 Z := skol25
% 12.86/13.24 end
% 12.86/13.24 substitution1:
% 12.86/13.24 end
% 12.86/13.24
% 12.86/13.24 subsumption: (372) {G3,W4,D2,L1,V0,M1} R(215,169) { coll( skol25, skol27,
% 12.86/13.24 skol25 ) }.
% 12.86/13.24 parent0: (63862) {G3,W4,D2,L1,V0,M1} { coll( skol25, skol27, skol25 ) }.
% 12.86/13.24 substitution0:
% 12.86/13.24 end
% 12.86/13.24 permutation0:
% 12.86/13.24 0 ==> 0
% 12.86/13.24 end
% 12.86/13.24
% 12.86/13.24 resolution: (63864) {G1,W10,D2,L2,V4,M2} { cyclic( X, Y, T, Z ), ! cyclic
% 12.86/13.24 ( X, Z, Y, T ) }.
% 12.86/13.24 parent0[0]: (13) {G0,W10,D2,L2,V4,M2} I { ! cyclic( X, Y, Z, T ), cyclic( X
% 12.86/13.24 , Y, T, Z ) }.
% 12.86/13.24 parent1[1]: (14) {G0,W10,D2,L2,V4,M2} I { ! cyclic( X, Y, Z, T ), cyclic( X
% 12.86/13.24 , Z, Y, T ) }.
% 12.86/13.24 substitution0:
% 12.86/13.24 X := X
% 12.86/13.24 Y := Y
% 12.86/13.24 Z := Z
% 12.86/13.24 T := T
% 12.86/13.24 end
% 12.86/13.24 substitution1:
% 12.86/13.24 X := X
% 12.86/13.24 Y := Z
% 12.86/13.24 Z := Y
% 12.86/13.24 T := T
% 12.86/13.24 end
% 12.86/13.24
% 12.86/13.24 subsumption: (409) {G1,W10,D2,L2,V4,M2} R(14,13) { ! cyclic( X, Y, Z, T ),
% 12.86/13.24 cyclic( X, Z, T, Y ) }.
% 12.86/13.24 parent0: (63864) {G1,W10,D2,L2,V4,M2} { cyclic( X, Y, T, Z ), ! cyclic( X
% 12.86/13.24 , Z, Y, T ) }.
% 12.86/13.24 substitution0:
% 12.86/13.24 X := X
% 12.86/13.24 Y := Z
% 12.86/13.24 Z := Y
% 12.86/13.24 T := T
% 12.86/13.24 end
% 12.86/13.24 permutation0:
% 12.86/13.24 0 ==> 1
% 12.86/13.24 1 ==> 0
% 12.86/13.24 end
% 12.86/13.24
% 12.86/13.24 resolution: (63865) {G1,W10,D2,L2,V4,M2} { cyclic( Y, X, Z, T ), ! cyclic
% 12.86/13.24 ( X, Z, Y, T ) }.
% 12.86/13.24 parent0[0]: (15) {G0,W10,D2,L2,V4,M2} I { ! cyclic( X, Y, Z, T ), cyclic( Y
% 12.86/13.24 , X, Z, T ) }.
% 12.86/13.24 parent1[1]: (14) {G0,W10,D2,L2,V4,M2} I { ! cyclic( X, Y, Z, T ), cyclic( X
% 12.86/13.24 , Z, Y, T ) }.
% 12.86/13.24 substitution0:
% 12.86/13.24 X := X
% 12.86/13.24 Y := Y
% 12.86/13.24 Z := Z
% 12.86/13.24 T := T
% 12.86/13.24 end
% 12.86/13.24 substitution1:
% 12.86/13.24 X := X
% 12.86/13.24 Y := Z
% 12.86/13.24 Z := Y
% 12.86/13.24 T := T
% 12.86/13.24 end
% 12.86/13.24
% 12.86/13.24 subsumption: (420) {G1,W10,D2,L2,V4,M2} R(15,14) { cyclic( X, Y, Z, T ), !
% 12.86/13.24 cyclic( Y, Z, X, T ) }.
% 12.86/13.24 parent0: (63865) {G1,W10,D2,L2,V4,M2} { cyclic( Y, X, Z, T ), ! cyclic( X
% 12.86/13.24 , Z, Y, T ) }.
% 12.86/13.24 substitution0:
% 12.86/13.24 X := Y
% 12.86/13.24 Y := X
% 12.86/13.24 Z := Z
% 12.86/13.24 T := T
% 12.86/13.24 end
% 12.86/13.24 permutation0:
% 12.86/13.24 0 ==> 0
% 12.86/13.24 1 ==> 1
% 12.86/13.24 end
% 12.86/13.24
% 12.86/13.24 resolution: (63866) {G1,W10,D2,L2,V4,M2} { cyclic( Y, X, Z, T ), ! cyclic
% 12.86/13.24 ( X, Y, T, Z ) }.
% 12.86/13.24 parent0[0]: (15) {G0,W10,D2,L2,V4,M2} I { ! cyclic( X, Y, Z, T ), cyclic( Y
% 12.86/13.24 , X, Z, T ) }.
% 12.86/13.24 parent1[1]: (13) {G0,W10,D2,L2,V4,M2} I { ! cyclic( X, Y, Z, T ), cyclic( X
% 12.86/13.24 , Y, T, Z ) }.
% 12.86/13.24 substitution0:
% 12.86/13.24 X := X
% 12.86/13.24 Y := Y
% 12.86/13.24 Z := Z
% 12.86/13.24 T := T
% 12.86/13.24 end
% 12.86/13.24 substitution1:
% 12.86/13.24 X := X
% 12.86/13.24 Y := Y
% 12.86/13.24 Z := T
% 12.86/13.24 T := Z
% 12.86/13.24 end
% 12.86/13.24
% 12.86/13.24 subsumption: (422) {G1,W10,D2,L2,V4,M2} R(15,13) { cyclic( X, Y, Z, T ), !
% 12.86/13.24 cyclic( Y, X, T, Z ) }.
% 12.86/13.24 parent0: (63866) {G1,W10,D2,L2,V4,M2} { cyclic( Y, X, Z, T ), ! cyclic( X
% 12.86/13.24 , Y, T, Z ) }.
% 12.86/13.24 substitution0:
% 12.86/13.24 X := Y
% 12.86/13.24 Y := X
% 12.86/13.24 Z := Z
% 12.86/13.24 T := T
% 12.86/13.24 end
% 12.86/13.24 permutation0:
% 12.86/13.24 0 ==> 0
% 12.86/13.24 1 ==> 1
% 12.86/13.24 end
% 12.86/13.24
% 12.86/13.24 resolution: (63870) {G1,W15,D2,L3,V5,M3} { cyclic( Y, X, Z, T ), ! cyclic
% 12.86/13.24 ( U, X, Y, Z ), ! cyclic( U, X, Y, T ) }.
% 12.86/13.24 parent0[0]: (15) {G0,W10,D2,L2,V4,M2} I { ! cyclic( X, Y, Z, T ), cyclic( Y
% 12.86/13.24 , X, Z, T ) }.
% 12.86/13.24 parent1[2]: (16) {G0,W15,D2,L3,V5,M3} I { ! cyclic( U, X, Y, Z ), ! cyclic
% 12.86/13.24 ( U, X, Y, T ), cyclic( X, Y, Z, T ) }.
% 12.86/13.24 substitution0:
% 12.86/13.24 X := X
% 12.86/13.24 Y := Y
% 12.86/13.24 Z := Z
% 12.86/13.24 T := T
% 12.86/13.24 end
% 12.86/13.24 substitution1:
% 12.86/13.24 X := X
% 12.86/13.24 Y := Y
% 12.86/13.24 Z := Z
% 12.86/13.24 T := T
% 12.86/13.24 U := U
% 12.86/13.24 end
% 12.86/13.24
% 12.86/13.24 subsumption: (439) {G1,W15,D2,L3,V5,M3} R(16,15) { ! cyclic( X, Y, Z, T ),
% 12.86/13.24 ! cyclic( X, Y, Z, U ), cyclic( Z, Y, T, U ) }.
% 12.86/13.24 parent0: (63870) {G1,W15,D2,L3,V5,M3} { cyclic( Y, X, Z, T ), ! cyclic( U
% 12.86/13.24 , X, Y, Z ), ! cyclic( U, X, Y, T ) }.
% 12.86/13.24 substitution0:
% 12.86/13.24 X := Y
% 12.86/13.24 Y := Z
% 12.86/13.24 Z := T
% 12.86/13.24 T := U
% 12.86/13.24 U := X
% 12.86/13.24 end
% 12.86/13.24 permutation0:
% 12.86/13.24 0 ==> 2
% 12.86/13.24 1 ==> 0
% 12.86/13.24 2 ==> 1
% 12.86/13.24 end
% 12.86/13.24
% 12.86/13.24 resolution: (63873) {G1,W15,D2,L3,V5,M3} { ! cyclic( X, Y, Z, T ), cyclic
% 12.86/13.24 ( Y, Z, T, U ), ! cyclic( X, Y, U, Z ) }.
% 12.86/13.24 parent0[1]: (16) {G0,W15,D2,L3,V5,M3} I { ! cyclic( U, X, Y, Z ), ! cyclic
% 12.86/13.24 ( U, X, Y, T ), cyclic( X, Y, Z, T ) }.
% 12.86/13.24 parent1[1]: (13) {G0,W10,D2,L2,V4,M2} I { ! cyclic( X, Y, Z, T ), cyclic( X
% 12.86/13.24 , Y, T, Z ) }.
% 12.86/13.24 substitution0:
% 12.86/13.24 X := Y
% 12.86/13.24 Y := Z
% 12.86/13.24 Z := T
% 12.86/13.24 T := U
% 12.86/13.24 U := X
% 12.86/13.24 end
% 12.86/13.24 substitution1:
% 12.86/13.24 X := X
% 12.86/13.24 Y := Y
% 12.86/13.24 Z := U
% 12.86/13.24 T := Z
% 12.86/13.24 end
% 12.86/13.24
% 12.86/13.24 subsumption: (444) {G1,W15,D2,L3,V5,M3} R(16,13) { ! cyclic( X, Y, Z, T ),
% 12.86/13.24 cyclic( Y, Z, T, U ), ! cyclic( X, Y, U, Z ) }.
% 12.86/13.24 parent0: (63873) {G1,W15,D2,L3,V5,M3} { ! cyclic( X, Y, Z, T ), cyclic( Y
% 12.86/13.24 , Z, T, U ), ! cyclic( X, Y, U, Z ) }.
% 12.86/13.24 substitution0:
% 12.86/13.24 X := X
% 12.86/13.24 Y := Y
% 12.86/13.24 Z := Z
% 12.86/13.24 T := T
% 12.86/13.24 U := U
% 12.86/13.24 end
% 12.86/13.24 permutation0:
% 12.86/13.24 0 ==> 0
% 12.86/13.24 1 ==> 1
% 12.86/13.24 2 ==> 2
% 12.86/13.24 end
% 12.86/13.24
% 12.86/13.24 factor: (63875) {G1,W10,D2,L2,V4,M2} { ! cyclic( X, Y, Z, T ), cyclic( Z,
% 12.86/13.24 Y, T, T ) }.
% 12.86/13.24 parent0[0, 1]: (439) {G1,W15,D2,L3,V5,M3} R(16,15) { ! cyclic( X, Y, Z, T )
% 12.86/13.24 , ! cyclic( X, Y, Z, U ), cyclic( Z, Y, T, U ) }.
% 12.86/13.24 substitution0:
% 12.86/13.24 X := X
% 12.86/13.24 Y := Y
% 12.86/13.24 Z := Z
% 12.86/13.24 T := T
% 12.86/13.24 U := T
% 12.86/13.24 end
% 12.86/13.24
% 12.86/13.24 subsumption: (448) {G2,W10,D2,L2,V4,M2} F(439) { ! cyclic( X, Y, Z, T ),
% 12.86/13.24 cyclic( Z, Y, T, T ) }.
% 12.86/13.24 parent0: (63875) {G1,W10,D2,L2,V4,M2} { ! cyclic( X, Y, Z, T ), cyclic( Z
% 12.86/13.24 , Y, T, T ) }.
% 12.86/13.24 substitution0:
% 12.86/13.24 X := X
% 12.86/13.24 Y := Y
% 12.86/13.24 Z := Z
% 12.86/13.24 T := T
% 12.86/13.24 end
% 12.86/13.24 permutation0:
% 12.86/13.24 0 ==> 0
% 12.86/13.24 1 ==> 1
% 12.86/13.24 end
% 12.86/13.24
% 12.86/13.24 resolution: (63876) {G1,W5,D2,L1,V0,M1} { ! cong( skol20, skol23, skol20,
% 12.86/13.24 skol22 ) }.
% 12.86/13.24 parent0[0]: (125) {G0,W5,D2,L1,V0,M1} I { ! cong( skol20, skol22, skol20,
% 12.86/13.24 skol23 ) }.
% 12.86/13.24 parent1[1]: (23) {G0,W10,D2,L2,V4,M2} I { ! cong( X, Y, Z, T ), cong( Z, T
% 12.86/13.24 , X, Y ) }.
% 12.86/13.24 substitution0:
% 12.86/13.24 end
% 12.86/13.24 substitution1:
% 12.86/13.24 X := skol20
% 12.86/13.24 Y := skol23
% 12.86/13.24 Z := skol20
% 12.86/13.24 T := skol22
% 12.86/13.24 end
% 12.86/13.24
% 12.86/13.24 subsumption: (538) {G1,W5,D2,L1,V0,M1} R(23,125) { ! cong( skol20, skol23,
% 12.86/13.24 skol20, skol22 ) }.
% 12.86/13.24 parent0: (63876) {G1,W5,D2,L1,V0,M1} { ! cong( skol20, skol23, skol20,
% 12.86/13.24 skol22 ) }.
% 12.86/13.24 substitution0:
% 12.86/13.24 end
% 12.86/13.24 permutation0:
% 12.86/13.24 0 ==> 0
% 12.86/13.24 end
% 12.86/13.24
% 12.86/13.24 resolution: (63877) {G1,W4,D2,L1,V0,M1} { coll( skol25, skol25, skol27 )
% 12.86/13.24 }.
% 12.86/13.24 parent0[0]: (0) {G0,W8,D2,L2,V3,M2} I { ! coll( X, Y, Z ), coll( X, Z, Y )
% 12.86/13.24 }.
% 12.86/13.24 parent1[0]: (372) {G3,W4,D2,L1,V0,M1} R(215,169) { coll( skol25, skol27,
% 12.86/13.24 skol25 ) }.
% 12.86/13.24 substitution0:
% 12.86/13.24 X := skol25
% 12.86/13.24 Y := skol27
% 12.86/13.24 Z := skol25
% 12.86/13.24 end
% 12.86/13.24 substitution1:
% 12.86/13.24 end
% 12.86/13.24
% 12.86/13.24 subsumption: (575) {G4,W4,D2,L1,V0,M1} R(372,0) { coll( skol25, skol25,
% 12.86/13.24 skol27 ) }.
% 12.86/13.24 parent0: (63877) {G1,W4,D2,L1,V0,M1} { coll( skol25, skol25, skol27 ) }.
% 12.86/13.24 substitution0:
% 12.86/13.24 end
% 12.86/13.24 permutation0:
% 12.86/13.24 0 ==> 0
% 12.86/13.24 end
% 12.86/13.24
% 12.86/13.24 resolution: (63878) {G1,W5,D2,L1,V0,M1} { ! cong( skol20, skol23, skol22,
% 12.86/13.24 skol20 ) }.
% 12.86/13.24 parent0[0]: (538) {G1,W5,D2,L1,V0,M1} R(23,125) { ! cong( skol20, skol23,
% 12.86/13.24 skol20, skol22 ) }.
% 12.86/13.24 parent1[1]: (22) {G0,W10,D2,L2,V4,M2} I { ! cong( X, Y, Z, T ), cong( X, Y
% 12.86/13.24 , T, Z ) }.
% 12.86/13.24 substitution0:
% 12.86/13.24 end
% 12.86/13.24 substitution1:
% 12.86/13.24 X := skol20
% 12.86/13.24 Y := skol23
% 12.86/13.24 Z := skol22
% 12.86/13.24 T := skol20
% 12.86/13.24 end
% 12.86/13.24
% 12.86/13.24 subsumption: (686) {G2,W5,D2,L1,V0,M1} R(538,22) { ! cong( skol20, skol23,
% 12.86/13.24 skol22, skol20 ) }.
% 12.86/13.24 parent0: (63878) {G1,W5,D2,L1,V0,M1} { ! cong( skol20, skol23, skol22,
% 12.86/13.24 skol20 ) }.
% 12.86/13.24 substitution0:
% 12.86/13.24 end
% 12.86/13.24 permutation0:
% 12.86/13.24 0 ==> 0
% 12.86/13.24 end
% 12.86/13.24
% 12.86/13.24 resolution: (63879) {G1,W5,D2,L1,V0,M1} { ! cong( skol22, skol20, skol20,
% 12.86/13.24 skol23 ) }.
% 12.86/13.24 parent0[0]: (686) {G2,W5,D2,L1,V0,M1} R(538,22) { ! cong( skol20, skol23,
% 12.86/13.24 skol22, skol20 ) }.
% 12.86/13.24 parent1[1]: (23) {G0,W10,D2,L2,V4,M2} I { ! cong( X, Y, Z, T ), cong( Z, T
% 12.86/13.24 , X, Y ) }.
% 12.86/13.24 substitution0:
% 12.86/13.24 end
% 12.86/13.24 substitution1:
% 12.86/13.24 X := skol22
% 12.86/13.24 Y := skol20
% 12.86/13.24 Z := skol20
% 12.86/13.24 T := skol23
% 12.86/13.24 end
% 12.86/13.24
% 12.86/13.24 subsumption: (688) {G3,W5,D2,L1,V0,M1} R(686,23) { ! cong( skol22, skol20,
% 12.86/13.24 skol20, skol23 ) }.
% 12.86/13.24 parent0: (63879) {G1,W5,D2,L1,V0,M1} { ! cong( skol22, skol20, skol20,
% 12.86/13.24 skol23 ) }.
% 12.86/13.24 substitution0:
% 12.86/13.24 end
% 12.86/13.24 permutation0:
% 12.86/13.24 0 ==> 0
% 12.86/13.24 end
% 12.86/13.24
% 12.86/13.24 resolution: (63880) {G1,W5,D2,L1,V0,M1} { ! cong( skol22, skol20, skol23,
% 12.86/13.24 skol20 ) }.
% 12.86/13.24 parent0[0]: (688) {G3,W5,D2,L1,V0,M1} R(686,23) { ! cong( skol22, skol20,
% 12.86/13.24 skol20, skol23 ) }.
% 12.86/13.24 parent1[1]: (22) {G0,W10,D2,L2,V4,M2} I { ! cong( X, Y, Z, T ), cong( X, Y
% 12.86/13.24 , T, Z ) }.
% 12.86/13.24 substitution0:
% 12.86/13.24 end
% 12.86/13.24 substitution1:
% 12.86/13.24 X := skol22
% 12.86/13.24 Y := skol20
% 12.86/13.24 Z := skol23
% 12.86/13.24 T := skol20
% 12.86/13.24 end
% 12.86/13.24
% 12.86/13.24 subsumption: (690) {G4,W5,D2,L1,V0,M1} R(688,22) { ! cong( skol22, skol20,
% 12.86/13.24 skol23, skol20 ) }.
% 12.86/13.24 parent0: (63880) {G1,W5,D2,L1,V0,M1} { ! cong( skol22, skol20, skol23,
% 12.86/13.24 skol20 ) }.
% 12.86/13.24 substitution0:
% 12.86/13.24 end
% 12.86/13.24 permutation0:
% 12.86/13.24 0 ==> 0
% 12.86/13.24 end
% 12.86/13.24
% 12.86/13.24 resolution: (63881) {G1,W5,D2,L1,V0,M1} { ! cong( skol23, skol20, skol22,
% 12.86/13.24 skol20 ) }.
% 12.86/13.24 parent0[0]: (690) {G4,W5,D2,L1,V0,M1} R(688,22) { ! cong( skol22, skol20,
% 12.86/13.24 skol23, skol20 ) }.
% 12.86/13.24 parent1[1]: (23) {G0,W10,D2,L2,V4,M2} I { ! cong( X, Y, Z, T ), cong( Z, T
% 12.86/13.24 , X, Y ) }.
% 12.86/13.24 substitution0:
% 12.86/13.24 end
% 12.86/13.24 substitution1:
% 12.86/13.24 X := skol23
% 12.86/13.24 Y := skol20
% 12.86/13.24 Z := skol22
% 12.86/13.24 T := skol20
% 12.86/13.24 end
% 12.86/13.24
% 12.86/13.24 subsumption: (692) {G5,W5,D2,L1,V0,M1} R(690,23) { ! cong( skol23, skol20,
% 12.86/13.24 skol22, skol20 ) }.
% 12.86/13.24 parent0: (63881) {G1,W5,D2,L1,V0,M1} { ! cong( skol23, skol20, skol22,
% 12.86/13.24 skol20 ) }.
% 12.86/13.24 substitution0:
% 12.86/13.24 end
% 12.86/13.24 permutation0:
% 12.86/13.24 0 ==> 0
% 12.86/13.24 end
% 12.86/13.24
% 12.86/13.24 resolution: (63882) {G1,W10,D2,L2,V2,M2} { ! cong( skol23, skol20, X, Y )
% 12.86/13.24 , ! cong( X, Y, skol22, skol20 ) }.
% 12.86/13.24 parent0[0]: (692) {G5,W5,D2,L1,V0,M1} R(690,23) { ! cong( skol23, skol20,
% 12.86/13.24 skol22, skol20 ) }.
% 12.86/13.24 parent1[2]: (24) {G0,W15,D2,L3,V6,M3} I { ! cong( X, Y, U, W ), ! cong( U,
% 12.86/13.24 W, Z, T ), cong( X, Y, Z, T ) }.
% 12.86/13.24 substitution0:
% 12.86/13.24 end
% 12.86/13.24 substitution1:
% 12.86/13.24 X := skol23
% 12.86/13.24 Y := skol20
% 12.86/13.24 Z := skol22
% 12.86/13.24 T := skol20
% 12.86/13.24 U := X
% 12.86/13.24 W := Y
% 12.86/13.24 end
% 12.86/13.24
% 12.86/13.24 subsumption: (695) {G6,W10,D2,L2,V2,M2} R(692,24) { ! cong( skol23, skol20
% 12.86/13.24 , X, Y ), ! cong( X, Y, skol22, skol20 ) }.
% 12.86/13.24 parent0: (63882) {G1,W10,D2,L2,V2,M2} { ! cong( skol23, skol20, X, Y ), !
% 12.86/13.24 cong( X, Y, skol22, skol20 ) }.
% 12.86/13.24 substitution0:
% 12.86/13.24 X := X
% 12.86/13.24 Y := Y
% 12.86/13.24 end
% 12.86/13.24 permutation0:
% 12.86/13.24 0 ==> 0
% 12.86/13.24 1 ==> 1
% 12.86/13.24 end
% 12.86/13.24
% 12.86/13.24 resolution: (63883) {G1,W14,D2,L2,V6,M2} { eqangle( Z, T, X, Y, Z, T, U, W
% 12.86/13.24 ), ! para( X, Y, U, W ) }.
% 12.86/13.24 parent0[0]: (18) {G0,W18,D2,L2,V8,M2} I { ! eqangle( X, Y, Z, T, U, W, V0,
% 12.86/13.24 V1 ), eqangle( Z, T, X, Y, V0, V1, U, W ) }.
% 12.86/13.24 parent1[1]: (39) {G0,W14,D2,L2,V6,M2} I { ! para( X, Y, Z, T ), eqangle( X
% 12.86/13.24 , Y, U, W, Z, T, U, W ) }.
% 12.86/13.24 substitution0:
% 12.86/13.24 X := X
% 12.86/13.24 Y := Y
% 12.86/13.24 Z := Z
% 12.86/13.24 T := T
% 12.86/13.24 U := U
% 12.86/13.24 W := W
% 12.86/13.24 V0 := Z
% 12.86/13.24 V1 := T
% 12.86/13.24 end
% 12.86/13.24 substitution1:
% 12.86/13.24 X := X
% 12.86/13.24 Y := Y
% 12.86/13.24 Z := U
% 12.86/13.24 T := W
% 12.86/13.24 U := Z
% 12.86/13.24 W := T
% 12.86/13.24 end
% 12.86/13.24
% 12.86/13.24 subsumption: (764) {G1,W14,D2,L2,V6,M2} R(39,18) { ! para( X, Y, Z, T ),
% 12.86/13.24 eqangle( U, W, X, Y, U, W, Z, T ) }.
% 12.86/13.24 parent0: (63883) {G1,W14,D2,L2,V6,M2} { eqangle( Z, T, X, Y, Z, T, U, W )
% 12.86/13.24 , ! para( X, Y, U, W ) }.
% 12.86/13.24 substitution0:
% 12.86/13.24 X := X
% 12.86/13.24 Y := Y
% 12.86/13.24 Z := U
% 12.86/13.24 T := W
% 12.86/13.24 U := Z
% 12.86/13.24 W := T
% 12.86/13.24 end
% 12.86/13.24 permutation0:
% 12.86/13.24 0 ==> 1
% 12.86/13.24 1 ==> 0
% 12.86/13.24 end
% 12.86/13.24
% 12.86/13.24 resolution: (63884) {G1,W10,D2,L2,V3,M2} { para( X, Y, X, Y ), ! cyclic( Y
% 12.86/13.24 , Z, X, X ) }.
% 12.86/13.24 parent0[0]: (38) {G0,W14,D2,L2,V6,M2} I { ! eqangle( X, Y, U, W, Z, T, U, W
% 12.86/13.24 ), para( X, Y, Z, T ) }.
% 12.86/13.24 parent1[1]: (40) {G0,W14,D2,L2,V4,M2} I { ! cyclic( X, Y, Z, T ), eqangle(
% 12.86/13.24 Z, X, Z, Y, T, X, T, Y ) }.
% 12.86/13.24 substitution0:
% 12.86/13.24 X := X
% 12.86/13.24 Y := Y
% 12.86/13.24 Z := X
% 12.86/13.24 T := Y
% 12.86/13.24 U := X
% 12.86/13.24 W := Z
% 12.86/13.24 end
% 12.86/13.24 substitution1:
% 12.86/13.24 X := Y
% 12.86/13.24 Y := Z
% 12.86/13.24 Z := X
% 12.86/13.24 T := X
% 12.86/13.24 end
% 12.86/13.24
% 12.86/13.24 subsumption: (775) {G1,W10,D2,L2,V3,M2} R(40,38) { ! cyclic( X, Y, Z, Z ),
% 12.86/13.24 para( Z, X, Z, X ) }.
% 12.86/13.24 parent0: (63884) {G1,W10,D2,L2,V3,M2} { para( X, Y, X, Y ), ! cyclic( Y, Z
% 12.86/13.24 , X, X ) }.
% 12.86/13.24 substitution0:
% 12.86/13.24 X := Z
% 12.86/13.24 Y := X
% 12.86/13.24 Z := Y
% 12.86/13.24 end
% 12.86/13.24 permutation0:
% 12.86/13.24 0 ==> 1
% 12.86/13.24 1 ==> 0
% 12.86/13.24 end
% 12.86/13.24
% 12.86/13.24 resolution: (63885) {G1,W14,D2,L2,V1,M2} { ! eqangle( skol25, X, skol25,
% 12.86/13.24 skol27, skol25, X, skol25, skol27 ), cyclic( X, skol27, skol25, skol25 )
% 12.86/13.24 }.
% 12.86/13.24 parent0[1]: (42) {G0,W18,D2,L3,V4,M3} I { ! eqangle( Z, X, Z, Y, T, X, T, Y
% 12.86/13.24 ), ! coll( Z, T, Y ), cyclic( X, Y, Z, T ) }.
% 12.86/13.24 parent1[0]: (575) {G4,W4,D2,L1,V0,M1} R(372,0) { coll( skol25, skol25,
% 12.86/13.24 skol27 ) }.
% 12.86/13.24 substitution0:
% 12.86/13.24 X := X
% 12.86/13.24 Y := skol27
% 12.86/13.24 Z := skol25
% 12.86/13.24 T := skol25
% 12.86/13.24 end
% 12.86/13.24 substitution1:
% 12.86/13.24 end
% 12.86/13.24
% 12.86/13.24 subsumption: (873) {G5,W14,D2,L2,V1,M2} R(42,575) { ! eqangle( skol25, X,
% 12.86/13.24 skol25, skol27, skol25, X, skol25, skol27 ), cyclic( X, skol27, skol25,
% 12.86/13.24 skol25 ) }.
% 12.86/13.24 parent0: (63885) {G1,W14,D2,L2,V1,M2} { ! eqangle( skol25, X, skol25,
% 12.86/13.24 skol27, skol25, X, skol25, skol27 ), cyclic( X, skol27, skol25, skol25 )
% 12.86/13.24 }.
% 12.86/13.24 substitution0:
% 12.86/13.24 X := X
% 12.86/13.24 end
% 12.86/13.24 permutation0:
% 12.86/13.24 0 ==> 0
% 12.86/13.24 1 ==> 1
% 12.86/13.24 end
% 12.86/13.24
% 12.86/13.24 resolution: (63886) {G1,W25,D2,L5,V4,M5} { ! cyclic( X, Y, Z, X ), !
% 12.86/13.24 cyclic( X, Y, Z, Y ), ! cyclic( X, Y, Z, T ), cong( X, Y, X, Y ), !
% 12.86/13.24 cyclic( X, Y, Z, T ) }.
% 12.86/13.24 parent0[3]: (43) {G0,W29,D2,L5,V6,M5} I { ! cyclic( X, Y, U, Z ), ! cyclic
% 12.86/13.24 ( X, Y, U, T ), ! cyclic( X, Y, U, W ), ! eqangle( U, X, U, Y, W, Z, W, T
% 12.86/13.24 ), cong( X, Y, Z, T ) }.
% 12.86/13.24 parent1[1]: (40) {G0,W14,D2,L2,V4,M2} I { ! cyclic( X, Y, Z, T ), eqangle(
% 12.86/13.24 Z, X, Z, Y, T, X, T, Y ) }.
% 12.86/13.24 substitution0:
% 12.86/13.24 X := X
% 12.86/13.24 Y := Y
% 12.86/13.24 Z := X
% 12.86/13.24 T := Y
% 12.86/13.24 U := Z
% 12.86/13.24 W := T
% 12.86/13.24 end
% 12.86/13.24 substitution1:
% 12.86/13.24 X := X
% 12.86/13.24 Y := Y
% 12.86/13.24 Z := Z
% 12.86/13.24 T := T
% 12.86/13.24 end
% 12.86/13.24
% 12.86/13.24 factor: (63888) {G1,W20,D2,L4,V3,M4} { ! cyclic( X, Y, Z, X ), ! cyclic( X
% 12.86/13.24 , Y, Z, Y ), cong( X, Y, X, Y ), ! cyclic( X, Y, Z, X ) }.
% 12.86/13.24 parent0[0, 2]: (63886) {G1,W25,D2,L5,V4,M5} { ! cyclic( X, Y, Z, X ), !
% 12.86/13.24 cyclic( X, Y, Z, Y ), ! cyclic( X, Y, Z, T ), cong( X, Y, X, Y ), !
% 12.86/13.24 cyclic( X, Y, Z, T ) }.
% 12.86/13.24 substitution0:
% 12.86/13.24 X := X
% 12.86/13.24 Y := Y
% 12.86/13.24 Z := Z
% 12.86/13.24 T := X
% 12.86/13.24 end
% 12.86/13.24
% 12.86/13.24 subsumption: (983) {G1,W20,D2,L4,V4,M4} R(43,40);f { ! cyclic( X, Y, Z, X )
% 12.86/13.24 , ! cyclic( X, Y, Z, Y ), ! cyclic( X, Y, Z, T ), cong( X, Y, X, Y ) }.
% 12.86/13.24 parent0: (63888) {G1,W20,D2,L4,V3,M4} { ! cyclic( X, Y, Z, X ), ! cyclic(
% 12.86/13.24 X, Y, Z, Y ), cong( X, Y, X, Y ), ! cyclic( X, Y, Z, X ) }.
% 12.86/13.24 substitution0:
% 12.86/13.24 X := X
% 12.86/13.24 Y := Y
% 12.86/13.24 Z := Z
% 12.86/13.24 end
% 12.86/13.24 permutation0:
% 12.86/13.24 0 ==> 0
% 12.86/13.24 1 ==> 1
% 12.86/13.24 2 ==> 3
% 12.86/13.24 3 ==> 0
% 12.86/13.24 end
% 12.86/13.24
% 12.86/13.24 factor: (63893) {G1,W15,D2,L3,V3,M3} { ! cyclic( X, Y, Z, X ), ! cyclic( X
% 12.86/13.24 , Y, Z, Y ), cong( X, Y, X, Y ) }.
% 12.86/13.24 parent0[0, 2]: (983) {G1,W20,D2,L4,V4,M4} R(43,40);f { ! cyclic( X, Y, Z, X
% 12.86/13.24 ), ! cyclic( X, Y, Z, Y ), ! cyclic( X, Y, Z, T ), cong( X, Y, X, Y )
% 12.86/13.24 }.
% 12.86/13.24 substitution0:
% 12.86/13.24 X := X
% 12.86/13.24 Y := Y
% 12.86/13.24 Z := Z
% 12.86/13.24 T := X
% 12.86/13.24 end
% 12.86/13.24
% 12.86/13.24 subsumption: (1016) {G2,W15,D2,L3,V3,M3} F(983) { ! cyclic( X, Y, Z, X ), !
% 12.86/13.24 cyclic( X, Y, Z, Y ), cong( X, Y, X, Y ) }.
% 12.86/13.24 parent0: (63893) {G1,W15,D2,L3,V3,M3} { ! cyclic( X, Y, Z, X ), ! cyclic(
% 12.86/13.24 X, Y, Z, Y ), cong( X, Y, X, Y ) }.
% 12.86/13.24 substitution0:
% 12.86/13.24 X := X
% 12.86/13.24 Y := Y
% 12.86/13.24 Z := Z
% 12.86/13.24 end
% 12.86/13.24 permutation0:
% 12.86/13.24 0 ==> 0
% 12.86/13.24 1 ==> 1
% 12.86/13.24 2 ==> 2
% 12.86/13.24 end
% 12.86/13.24
% 12.86/13.24 resolution: (63896) {G1,W20,D2,L4,V4,M4} { ! cong( X, Y, Z, Y ), ! cyclic
% 12.86/13.24 ( X, Z, Y, T ), perp( Y, X, X, T ), ! cong( Z, T, X, T ) }.
% 12.86/13.24 parent0[1]: (57) {G0,W20,D2,L4,V4,M4} I { ! cong( X, Y, T, Y ), ! cong( X,
% 12.86/13.24 Z, T, Z ), ! cyclic( X, T, Y, Z ), perp( Y, X, X, Z ) }.
% 12.86/13.24 parent1[1]: (23) {G0,W10,D2,L2,V4,M2} I { ! cong( X, Y, Z, T ), cong( Z, T
% 12.86/13.24 , X, Y ) }.
% 12.86/13.24 substitution0:
% 12.86/13.24 X := X
% 12.86/13.24 Y := Y
% 12.86/13.24 Z := T
% 12.86/13.24 T := Z
% 12.86/13.24 end
% 12.86/13.24 substitution1:
% 12.86/13.24 X := Z
% 12.86/13.24 Y := T
% 12.86/13.24 Z := X
% 12.86/13.24 T := T
% 12.86/13.24 end
% 12.86/13.24
% 12.86/13.24 subsumption: (1814) {G1,W20,D2,L4,V4,M4} R(57,23) { ! cong( X, Y, Z, Y ), !
% 12.86/13.24 cyclic( X, Z, Y, T ), perp( Y, X, X, T ), ! cong( Z, T, X, T ) }.
% 12.86/13.24 parent0: (63896) {G1,W20,D2,L4,V4,M4} { ! cong( X, Y, Z, Y ), ! cyclic( X
% 12.86/13.24 , Z, Y, T ), perp( Y, X, X, T ), ! cong( Z, T, X, T ) }.
% 12.86/13.24 substitution0:
% 12.86/13.24 X := X
% 12.86/13.24 Y := Y
% 12.86/13.24 Z := Z
% 12.86/13.24 T := T
% 12.86/13.24 end
% 12.86/13.24 permutation0:
% 12.86/13.24 0 ==> 0
% 12.86/13.24 1 ==> 1
% 12.86/13.24 2 ==> 2
% 12.86/13.24 3 ==> 3
% 12.86/13.24 end
% 12.86/13.24
% 12.86/13.24 resolution: (63898) {G3,W5,D2,L1,V0,M1} { para( skol25, skol27, skol25,
% 12.86/13.24 skol27 ) }.
% 12.86/13.24 parent0[0]: (297) {G2,W10,D2,L2,V4,M2} F(287) { ! perp( X, Y, Z, T ), para
% 12.86/13.24 ( X, Y, X, Y ) }.
% 12.86/13.24 parent1[0]: (338) {G4,W5,D2,L1,V0,M1} R(334,6) { perp( skol25, skol27,
% 12.86/13.24 skol24, skol20 ) }.
% 12.86/13.24 substitution0:
% 12.86/13.24 X := skol25
% 12.86/13.24 Y := skol27
% 12.86/13.24 Z := skol24
% 12.86/13.24 T := skol20
% 12.86/13.24 end
% 12.86/13.24 substitution1:
% 12.86/13.24 end
% 12.86/13.24
% 12.86/13.24 subsumption: (20080) {G5,W5,D2,L1,V0,M1} R(297,338) { para( skol25, skol27
% 12.86/13.24 , skol25, skol27 ) }.
% 12.86/13.24 parent0: (63898) {G3,W5,D2,L1,V0,M1} { para( skol25, skol27, skol25,
% 12.86/13.24 skol27 ) }.
% 12.86/13.24 substitution0:
% 12.86/13.24 end
% 12.86/13.24 permutation0:
% 12.86/13.24 0 ==> 0
% 12.86/13.24 end
% 12.86/13.24
% 12.86/13.24 resolution: (63899) {G2,W9,D2,L1,V2,M1} { eqangle( X, Y, skol25, skol27, X
% 12.86/13.24 , Y, skol25, skol27 ) }.
% 12.86/13.24 parent0[0]: (764) {G1,W14,D2,L2,V6,M2} R(39,18) { ! para( X, Y, Z, T ),
% 12.86/13.24 eqangle( U, W, X, Y, U, W, Z, T ) }.
% 12.86/13.24 parent1[0]: (20080) {G5,W5,D2,L1,V0,M1} R(297,338) { para( skol25, skol27,
% 12.86/13.24 skol25, skol27 ) }.
% 12.86/13.24 substitution0:
% 12.86/13.24 X := skol25
% 12.86/13.24 Y := skol27
% 12.86/13.24 Z := skol25
% 12.86/13.24 T := skol27
% 12.86/13.24 U := X
% 12.86/13.24 W := Y
% 12.86/13.24 end
% 12.86/13.24 substitution1:
% 12.86/13.24 end
% 12.86/13.24
% 12.86/13.24 subsumption: (45714) {G6,W9,D2,L1,V2,M1} R(764,20080) { eqangle( X, Y,
% 12.86/13.24 skol25, skol27, X, Y, skol25, skol27 ) }.
% 12.86/13.24 parent0: (63899) {G2,W9,D2,L1,V2,M1} { eqangle( X, Y, skol25, skol27, X, Y
% 12.86/13.24 , skol25, skol27 ) }.
% 12.86/13.24 substitution0:
% 12.86/13.24 X := X
% 12.86/13.24 Y := Y
% 12.86/13.24 end
% 12.86/13.24 permutation0:
% 12.86/13.24 0 ==> 0
% 12.86/13.24 end
% 12.86/13.24
% 12.86/13.24 resolution: (63900) {G1,W9,D2,L2,V3,M2} { coll( X, Y, Y ), ! cyclic( Y, Z
% 12.86/13.24 , X, X ) }.
% 12.86/13.24 parent0[0]: (66) {G0,W9,D2,L2,V3,M2} I { ! para( X, Y, X, Z ), coll( X, Y,
% 12.86/13.24 Z ) }.
% 12.86/13.24 parent1[1]: (775) {G1,W10,D2,L2,V3,M2} R(40,38) { ! cyclic( X, Y, Z, Z ),
% 12.86/13.24 para( Z, X, Z, X ) }.
% 12.86/13.24 substitution0:
% 12.86/13.24 X := X
% 12.86/13.24 Y := Y
% 12.86/13.24 Z := Y
% 12.86/13.24 end
% 12.86/13.24 substitution1:
% 12.86/13.24 X := Y
% 12.86/13.24 Y := Z
% 12.86/13.24 Z := X
% 12.86/13.24 end
% 12.86/13.24
% 12.86/13.24 subsumption: (49614) {G2,W9,D2,L2,V3,M2} R(775,66) { ! cyclic( X, Y, Z, Z )
% 12.86/13.24 , coll( Z, X, X ) }.
% 12.86/13.24 parent0: (63900) {G1,W9,D2,L2,V3,M2} { coll( X, Y, Y ), ! cyclic( Y, Z, X
% 12.86/13.24 , X ) }.
% 12.86/13.24 substitution0:
% 12.86/13.24 X := Z
% 12.86/13.24 Y := X
% 12.86/13.24 Z := Y
% 12.86/13.24 end
% 12.86/13.24 permutation0:
% 12.86/13.24 0 ==> 1
% 12.86/13.24 1 ==> 0
% 12.86/13.24 end
% 12.86/13.24
% 12.86/13.24 resolution: (63901) {G6,W5,D2,L1,V1,M1} { cyclic( X, skol27, skol25,
% 12.86/13.24 skol25 ) }.
% 12.86/13.24 parent0[0]: (873) {G5,W14,D2,L2,V1,M2} R(42,575) { ! eqangle( skol25, X,
% 12.86/13.24 skol25, skol27, skol25, X, skol25, skol27 ), cyclic( X, skol27, skol25,
% 12.86/13.24 skol25 ) }.
% 12.86/13.24 parent1[0]: (45714) {G6,W9,D2,L1,V2,M1} R(764,20080) { eqangle( X, Y,
% 12.86/13.24 skol25, skol27, X, Y, skol25, skol27 ) }.
% 12.86/13.24 substitution0:
% 12.86/13.24 X := X
% 12.86/13.24 end
% 12.86/13.24 substitution1:
% 12.86/13.24 X := skol25
% 12.86/13.24 Y := X
% 12.86/13.24 end
% 12.86/13.24
% 12.86/13.24 subsumption: (56514) {G7,W5,D2,L1,V1,M1} S(873);r(45714) { cyclic( X,
% 12.86/13.24 skol27, skol25, skol25 ) }.
% 12.86/13.24 parent0: (63901) {G6,W5,D2,L1,V1,M1} { cyclic( X, skol27, skol25, skol25 )
% 12.86/13.24 }.
% 12.86/13.24 substitution0:
% 12.86/13.24 X := X
% 12.86/13.24 end
% 12.86/13.24 permutation0:
% 12.86/13.24 0 ==> 0
% 12.86/13.24 end
% 12.86/13.24
% 12.86/13.24 resolution: (63902) {G2,W5,D2,L1,V1,M1} { cyclic( skol27, X, skol25,
% 12.86/13.24 skol25 ) }.
% 12.86/13.24 parent0[1]: (422) {G1,W10,D2,L2,V4,M2} R(15,13) { cyclic( X, Y, Z, T ), !
% 12.86/13.24 cyclic( Y, X, T, Z ) }.
% 12.86/13.24 parent1[0]: (56514) {G7,W5,D2,L1,V1,M1} S(873);r(45714) { cyclic( X, skol27
% 12.86/13.24 , skol25, skol25 ) }.
% 12.86/13.24 substitution0:
% 12.86/13.24 X := skol27
% 12.86/13.24 Y := X
% 12.86/13.24 Z := skol25
% 12.86/13.24 T := skol25
% 12.86/13.24 end
% 12.86/13.24 substitution1:
% 12.86/13.24 X := X
% 12.86/13.24 end
% 12.86/13.24
% 12.86/13.24 subsumption: (56535) {G8,W5,D2,L1,V1,M1} R(56514,422) { cyclic( skol27, X,
% 12.86/13.24 skol25, skol25 ) }.
% 12.86/13.24 parent0: (63902) {G2,W5,D2,L1,V1,M1} { cyclic( skol27, X, skol25, skol25 )
% 12.86/13.24 }.
% 12.86/13.24 substitution0:
% 12.86/13.24 X := X
% 12.86/13.24 end
% 12.86/13.24 permutation0:
% 12.86/13.24 0 ==> 0
% 12.86/13.24 end
% 12.86/13.24
% 12.86/13.24 resolution: (63903) {G3,W5,D2,L1,V1,M1} { cyclic( skol25, X, skol25,
% 12.86/13.24 skol25 ) }.
% 12.86/13.24 parent0[0]: (448) {G2,W10,D2,L2,V4,M2} F(439) { ! cyclic( X, Y, Z, T ),
% 12.86/13.24 cyclic( Z, Y, T, T ) }.
% 12.86/13.24 parent1[0]: (56535) {G8,W5,D2,L1,V1,M1} R(56514,422) { cyclic( skol27, X,
% 12.86/13.24 skol25, skol25 ) }.
% 12.86/13.24 substitution0:
% 12.86/13.24 X := skol27
% 12.86/13.24 Y := X
% 12.86/13.24 Z := skol25
% 12.86/13.24 T := skol25
% 12.86/13.24 end
% 12.86/13.24 substitution1:
% 12.86/13.24 X := X
% 12.86/13.24 end
% 12.86/13.24
% 12.86/13.24 subsumption: (56547) {G9,W5,D2,L1,V1,M1} R(56535,448) { cyclic( skol25, X,
% 12.86/13.24 skol25, skol25 ) }.
% 12.86/13.24 parent0: (63903) {G3,W5,D2,L1,V1,M1} { cyclic( skol25, X, skol25, skol25 )
% 12.86/13.24 }.
% 12.86/13.24 substitution0:
% 12.86/13.24 X := X
% 12.86/13.24 end
% 12.86/13.24 permutation0:
% 12.86/13.24 0 ==> 0
% 12.86/13.24 end
% 12.86/13.24
% 12.86/13.24 resolution: (63904) {G2,W5,D2,L1,V1,M1} { cyclic( skol25, skol25, X,
% 12.86/13.24 skol25 ) }.
% 12.86/13.24 parent0[1]: (420) {G1,W10,D2,L2,V4,M2} R(15,14) { cyclic( X, Y, Z, T ), !
% 12.86/13.24 cyclic( Y, Z, X, T ) }.
% 12.86/13.24 parent1[0]: (56547) {G9,W5,D2,L1,V1,M1} R(56535,448) { cyclic( skol25, X,
% 12.86/13.24 skol25, skol25 ) }.
% 12.86/13.24 substitution0:
% 12.86/13.24 X := skol25
% 12.86/13.24 Y := skol25
% 12.86/13.24 Z := X
% 12.86/13.24 T := skol25
% 12.86/13.24 end
% 12.86/13.24 substitution1:
% 12.86/13.24 X := X
% 12.86/13.24 end
% 12.86/13.24
% 12.86/13.24 subsumption: (56569) {G10,W5,D2,L1,V1,M1} R(56547,420) { cyclic( skol25,
% 12.86/13.24 skol25, X, skol25 ) }.
% 12.86/13.24 parent0: (63904) {G2,W5,D2,L1,V1,M1} { cyclic( skol25, skol25, X, skol25 )
% 12.86/13.24 }.
% 12.86/13.24 substitution0:
% 12.86/13.24 X := X
% 12.86/13.24 end
% 12.86/13.24 permutation0:
% 12.86/13.24 0 ==> 0
% 12.86/13.24 end
% 12.86/13.24
% 12.86/13.24 resolution: (63905) {G2,W5,D2,L1,V1,M1} { cyclic( skol25, skol25, skol25,
% 12.86/13.24 X ) }.
% 12.86/13.24 parent0[0]: (409) {G1,W10,D2,L2,V4,M2} R(14,13) { ! cyclic( X, Y, Z, T ),
% 12.86/13.24 cyclic( X, Z, T, Y ) }.
% 12.86/13.24 parent1[0]: (56547) {G9,W5,D2,L1,V1,M1} R(56535,448) { cyclic( skol25, X,
% 12.86/13.24 skol25, skol25 ) }.
% 12.86/13.24 substitution0:
% 12.86/13.24 X := skol25
% 12.86/13.24 Y := X
% 12.86/13.24 Z := skol25
% 12.86/13.24 T := skol25
% 12.86/13.24 end
% 12.86/13.24 substitution1:
% 12.86/13.24 X := X
% 12.86/13.24 end
% 12.86/13.24
% 12.86/13.24 subsumption: (56570) {G10,W5,D2,L1,V1,M1} R(56547,409) { cyclic( skol25,
% 12.86/13.24 skol25, skol25, X ) }.
% 12.86/13.24 parent0: (63905) {G2,W5,D2,L1,V1,M1} { cyclic( skol25, skol25, skol25, X )
% 12.86/13.24 }.
% 12.86/13.24 substitution0:
% 12.86/13.24 X := X
% 12.86/13.24 end
% 12.86/13.24 permutation0:
% 12.86/13.24 0 ==> 0
% 12.86/13.24 end
% 12.86/13.24
% 12.86/13.24 resolution: (63907) {G2,W10,D2,L2,V2,M2} { ! cyclic( skol25, skol25,
% 12.86/13.24 skol25, X ), cyclic( skol25, skol25, X, Y ) }.
% 12.86/13.24 parent0[2]: (444) {G1,W15,D2,L3,V5,M3} R(16,13) { ! cyclic( X, Y, Z, T ),
% 12.86/13.24 cyclic( Y, Z, T, U ), ! cyclic( X, Y, U, Z ) }.
% 12.86/13.24 parent1[0]: (56569) {G10,W5,D2,L1,V1,M1} R(56547,420) { cyclic( skol25,
% 12.86/13.24 skol25, X, skol25 ) }.
% 12.86/13.24 substitution0:
% 12.86/13.24 X := skol25
% 12.86/13.24 Y := skol25
% 12.86/13.24 Z := skol25
% 12.86/13.24 T := X
% 12.86/13.24 U := Y
% 12.86/13.24 end
% 12.86/13.24 substitution1:
% 12.86/13.24 X := Y
% 12.86/13.24 end
% 12.86/13.24
% 12.86/13.24 resolution: (63908) {G3,W5,D2,L1,V2,M1} { cyclic( skol25, skol25, X, Y )
% 12.86/13.24 }.
% 12.86/13.24 parent0[0]: (63907) {G2,W10,D2,L2,V2,M2} { ! cyclic( skol25, skol25,
% 12.86/13.24 skol25, X ), cyclic( skol25, skol25, X, Y ) }.
% 12.86/13.24 parent1[0]: (56570) {G10,W5,D2,L1,V1,M1} R(56547,409) { cyclic( skol25,
% 12.86/13.24 skol25, skol25, X ) }.
% 12.86/13.24 substitution0:
% 12.86/13.24 X := X
% 12.86/13.24 Y := Y
% 12.86/13.24 end
% 12.86/13.24 substitution1:
% 12.86/13.24 X := X
% 12.86/13.24 end
% 12.86/13.24
% 12.86/13.24 subsumption: (56575) {G11,W5,D2,L1,V2,M1} R(56569,444);r(56570) { cyclic(
% 12.86/13.24 skol25, skol25, X, Y ) }.
% 12.86/13.24 parent0: (63908) {G3,W5,D2,L1,V2,M1} { cyclic( skol25, skol25, X, Y ) }.
% 12.86/13.24 substitution0:
% 12.86/13.24 X := X
% 12.86/13.24 Y := Y
% 12.86/13.24 end
% 12.86/13.24 permutation0:
% 12.86/13.24 0 ==> 0
% 12.86/13.24 end
% 12.86/13.24
% 12.86/13.24 resolution: (63909) {G2,W10,D2,L2,V3,M2} { cyclic( skol25, X, Y, Z ), !
% 12.86/13.24 cyclic( skol25, skol25, Z, X ) }.
% 12.86/13.24 parent0[0]: (444) {G1,W15,D2,L3,V5,M3} R(16,13) { ! cyclic( X, Y, Z, T ),
% 12.86/13.24 cyclic( Y, Z, T, U ), ! cyclic( X, Y, U, Z ) }.
% 12.86/13.24 parent1[0]: (56575) {G11,W5,D2,L1,V2,M1} R(56569,444);r(56570) { cyclic(
% 12.86/13.24 skol25, skol25, X, Y ) }.
% 12.86/13.24 substitution0:
% 12.86/13.24 X := skol25
% 12.86/13.24 Y := skol25
% 12.86/13.24 Z := X
% 12.86/13.24 T := Y
% 12.86/13.24 U := Z
% 12.86/13.24 end
% 12.86/13.24 substitution1:
% 12.86/13.24 X := X
% 12.86/13.24 Y := Y
% 12.86/13.24 end
% 12.86/13.24
% 12.86/13.24 resolution: (63911) {G3,W5,D2,L1,V3,M1} { cyclic( skol25, X, Y, Z ) }.
% 12.86/13.24 parent0[1]: (63909) {G2,W10,D2,L2,V3,M2} { cyclic( skol25, X, Y, Z ), !
% 12.86/13.24 cyclic( skol25, skol25, Z, X ) }.
% 12.86/13.24 parent1[0]: (56575) {G11,W5,D2,L1,V2,M1} R(56569,444);r(56570) { cyclic(
% 12.86/13.24 skol25, skol25, X, Y ) }.
% 12.86/13.24 substitution0:
% 12.86/13.24 X := X
% 12.86/13.24 Y := Y
% 12.86/13.24 Z := Z
% 12.86/13.24 end
% 12.86/13.24 substitution1:
% 12.86/13.24 X := Z
% 12.86/13.24 Y := X
% 12.86/13.24 end
% 12.86/13.24
% 12.86/13.24 subsumption: (56597) {G12,W5,D2,L1,V3,M1} R(56575,444);r(56575) { cyclic(
% 12.86/13.24 skol25, X, Y, Z ) }.
% 12.86/13.24 parent0: (63911) {G3,W5,D2,L1,V3,M1} { cyclic( skol25, X, Y, Z ) }.
% 12.86/13.24 substitution0:
% 12.86/13.24 X := X
% 12.86/13.24 Y := Y
% 12.86/13.24 Z := Z
% 12.86/13.24 end
% 12.86/13.24 permutation0:
% 12.86/13.24 0 ==> 0
% 12.86/13.24 end
% 12.86/13.24
% 12.86/13.24 resolution: (63912) {G2,W10,D2,L2,V4,M2} { cyclic( X, Y, Z, T ), ! cyclic
% 12.86/13.24 ( skol25, X, T, Y ) }.
% 12.86/13.24 parent0[0]: (444) {G1,W15,D2,L3,V5,M3} R(16,13) { ! cyclic( X, Y, Z, T ),
% 12.86/13.24 cyclic( Y, Z, T, U ), ! cyclic( X, Y, U, Z ) }.
% 12.86/13.24 parent1[0]: (56597) {G12,W5,D2,L1,V3,M1} R(56575,444);r(56575) { cyclic(
% 12.86/13.24 skol25, X, Y, Z ) }.
% 12.86/13.24 substitution0:
% 12.86/13.24 X := skol25
% 12.86/13.24 Y := X
% 12.86/13.24 Z := Y
% 12.86/13.24 T := Z
% 12.86/13.24 U := T
% 12.86/13.24 end
% 12.86/13.24 substitution1:
% 12.86/13.24 X := X
% 12.86/13.24 Y := Y
% 12.86/13.24 Z := Z
% 12.86/13.24 end
% 12.86/13.24
% 12.86/13.24 resolution: (63914) {G3,W5,D2,L1,V4,M1} { cyclic( X, Y, Z, T ) }.
% 12.86/13.24 parent0[1]: (63912) {G2,W10,D2,L2,V4,M2} { cyclic( X, Y, Z, T ), ! cyclic
% 12.86/13.24 ( skol25, X, T, Y ) }.
% 12.86/13.24 parent1[0]: (56597) {G12,W5,D2,L1,V3,M1} R(56575,444);r(56575) { cyclic(
% 12.86/13.24 skol25, X, Y, Z ) }.
% 12.86/13.24 substitution0:
% 12.86/13.24 X := X
% 12.86/13.24 Y := Y
% 12.86/13.24 Z := Z
% 12.86/13.24 T := T
% 12.86/13.24 end
% 12.86/13.24 substitution1:
% 12.86/13.24 X := X
% 12.86/13.24 Y := T
% 12.86/13.24 Z := Y
% 12.86/13.24 end
% 12.86/13.24
% 12.86/13.24 subsumption: (56616) {G13,W5,D2,L1,V4,M1} R(56597,444);r(56597) { cyclic( X
% 12.86/13.24 , Y, Z, T ) }.
% 12.86/13.24 parent0: (63914) {G3,W5,D2,L1,V4,M1} { cyclic( X, Y, Z, T ) }.
% 12.86/13.24 substitution0:
% 12.86/13.24 X := X
% 12.86/13.24 Y := Y
% 12.86/13.24 Z := Z
% 12.86/13.24 T := T
% 12.86/13.24 end
% 12.86/13.24 permutation0:
% 12.86/13.24 0 ==> 0
% 12.86/13.24 end
% 12.86/13.24
% 12.86/13.24 resolution: (63915) {G3,W4,D2,L1,V2,M1} { coll( Z, X, X ) }.
% 12.86/13.24 parent0[0]: (49614) {G2,W9,D2,L2,V3,M2} R(775,66) { ! cyclic( X, Y, Z, Z )
% 12.86/13.24 , coll( Z, X, X ) }.
% 12.86/13.24 parent1[0]: (56616) {G13,W5,D2,L1,V4,M1} R(56597,444);r(56597) { cyclic( X
% 12.86/13.24 , Y, Z, T ) }.
% 12.86/13.24 substitution0:
% 12.86/13.24 X := X
% 12.86/13.24 Y := Y
% 12.86/13.24 Z := Z
% 12.86/13.24 end
% 12.86/13.24 substitution1:
% 12.86/13.24 X := X
% 12.86/13.24 Y := Y
% 12.86/13.24 Z := Z
% 12.86/13.24 T := Z
% 12.86/13.24 end
% 12.86/13.24
% 12.86/13.24 subsumption: (61039) {G14,W4,D2,L1,V2,M1} S(49614);r(56616) { coll( Z, X, X
% 12.86/13.24 ) }.
% 12.86/13.24 parent0: (63915) {G3,W4,D2,L1,V2,M1} { coll( Z, X, X ) }.
% 12.86/13.24 substitution0:
% 12.86/13.24 X := X
% 12.86/13.24 Y := T
% 12.86/13.24 Z := Z
% 12.86/13.24 end
% 12.86/13.24 permutation0:
% 12.86/13.24 0 ==> 0
% 12.86/13.24 end
% 12.86/13.24
% 12.86/13.24 resolution: (63918) {G2,W15,D2,L3,V4,M3} { ! cong( X, Y, Z, Y ), perp( Y,
% 12.86/13.24 X, X, T ), ! cong( Z, T, X, T ) }.
% 12.86/13.24 parent0[1]: (1814) {G1,W20,D2,L4,V4,M4} R(57,23) { ! cong( X, Y, Z, Y ), !
% 12.86/13.24 cyclic( X, Z, Y, T ), perp( Y, X, X, T ), ! cong( Z, T, X, T ) }.
% 12.86/13.24 parent1[0]: (56616) {G13,W5,D2,L1,V4,M1} R(56597,444);r(56597) { cyclic( X
% 12.86/13.24 , Y, Z, T ) }.
% 12.86/13.24 substitution0:
% 12.86/13.24 X := X
% 12.86/13.24 Y := Y
% 12.86/13.24 Z := Z
% 12.86/13.24 T := T
% 12.86/13.24 end
% 12.86/13.24 substitution1:
% 12.86/13.24 X := X
% 12.86/13.24 Y := Z
% 12.86/13.24 Z := Y
% 12.86/13.24 T := T
% 12.86/13.24 end
% 12.86/13.24
% 12.86/13.24 subsumption: (62367) {G14,W15,D2,L3,V4,M3} S(1814);r(56616) { ! cong( X, Y
% 12.86/13.24 , Z, Y ), perp( Y, X, X, T ), ! cong( Z, T, X, T ) }.
% 12.86/13.24 parent0: (63918) {G2,W15,D2,L3,V4,M3} { ! cong( X, Y, Z, Y ), perp( Y, X,
% 12.86/13.24 X, T ), ! cong( Z, T, X, T ) }.
% 12.86/13.24 substitution0:
% 12.86/13.24 X := X
% 12.86/13.24 Y := Y
% 12.86/13.24 Z := Z
% 12.86/13.24 T := T
% 12.86/13.24 end
% 12.86/13.24 permutation0:
% 12.86/13.24 0 ==> 0
% 12.86/13.24 1 ==> 1
% 12.86/13.24 2 ==> 2
% 12.86/13.24 end
% 12.86/13.24
% 12.86/13.24 resolution: (63922) {G3,W10,D2,L2,V3,M2} { ! cyclic( X, Y, Z, Y ), cong( X
% 12.86/13.24 , Y, X, Y ) }.
% 12.86/13.24 parent0[0]: (1016) {G2,W15,D2,L3,V3,M3} F(983) { ! cyclic( X, Y, Z, X ), !
% 12.86/13.24 cyclic( X, Y, Z, Y ), cong( X, Y, X, Y ) }.
% 12.86/13.24 parent1[0]: (56616) {G13,W5,D2,L1,V4,M1} R(56597,444);r(56597) { cyclic( X
% 12.86/13.24 , Y, Z, T ) }.
% 12.86/13.24 substitution0:
% 12.86/13.24 X := X
% 12.86/13.24 Y := Y
% 12.86/13.24 Z := Z
% 12.86/13.24 end
% 12.86/13.24 substitution1:
% 12.86/13.24 X := X
% 12.86/13.24 Y := Y
% 12.86/13.24 Z := Z
% 12.86/13.24 T := X
% 12.86/13.24 end
% 12.86/13.24
% 12.86/13.24 resolution: (63924) {G4,W5,D2,L1,V2,M1} { cong( X, Y, X, Y ) }.
% 12.86/13.24 parent0[0]: (63922) {G3,W10,D2,L2,V3,M2} { ! cyclic( X, Y, Z, Y ), cong( X
% 12.86/13.24 , Y, X, Y ) }.
% 12.86/13.24 parent1[0]: (56616) {G13,W5,D2,L1,V4,M1} R(56597,444);r(56597) { cyclic( X
% 12.86/13.24 , Y, Z, T ) }.
% 12.86/13.24 substitution0:
% 12.86/13.24 X := X
% 12.86/13.24 Y := Y
% 12.86/13.24 Z := Z
% 12.86/13.24 end
% 12.86/13.24 substitution1:
% 12.86/13.24 X := X
% 12.86/13.24 Y := Y
% 12.86/13.24 Z := Z
% 12.86/13.24 T := Y
% 12.86/13.24 end
% 12.86/13.24
% 12.86/13.24 subsumption: (62388) {G14,W5,D2,L1,V2,M1} S(1016);r(56616);r(56616) { cong
% 12.86/13.24 ( X, Y, X, Y ) }.
% 12.86/13.24 parent0: (63924) {G4,W5,D2,L1,V2,M1} { cong( X, Y, X, Y ) }.
% 12.86/13.24 substitution0:
% 12.86/13.24 X := X
% 12.86/13.24 Y := Y
% 12.86/13.24 end
% 12.86/13.24 permutation0:
% 12.86/13.24 0 ==> 0
% 12.86/13.24 end
% 12.86/13.24
% 12.86/13.24 factor: (63925) {G14,W10,D2,L2,V2,M2} { ! cong( X, Y, X, Y ), perp( Y, X,
% 12.86/13.24 X, Y ) }.
% 12.86/13.24 parent0[0, 2]: (62367) {G14,W15,D2,L3,V4,M3} S(1814);r(56616) { ! cong( X,
% 12.86/13.24 Y, Z, Y ), perp( Y, X, X, T ), ! cong( Z, T, X, T ) }.
% 12.86/13.24 substitution0:
% 12.86/13.24 X := X
% 12.86/13.24 Y := Y
% 12.86/13.24 Z := X
% 12.86/13.24 T := Y
% 12.86/13.24 end
% 12.86/13.24
% 12.86/13.24 resolution: (63926) {G15,W5,D2,L1,V2,M1} { perp( Y, X, X, Y ) }.
% 12.86/13.24 parent0[0]: (63925) {G14,W10,D2,L2,V2,M2} { ! cong( X, Y, X, Y ), perp( Y
% 12.86/13.24 , X, X, Y ) }.
% 12.86/13.24 parent1[0]: (62388) {G14,W5,D2,L1,V2,M1} S(1016);r(56616);r(56616) { cong(
% 12.86/13.24 X, Y, X, Y ) }.
% 12.86/13.24 substitution0:
% 12.86/13.24 X := X
% 12.86/13.24 Y := Y
% 12.86/13.24 end
% 12.86/13.24 substitution1:
% 12.86/13.24 X := X
% 12.86/13.24 Y := Y
% 12.86/13.24 end
% 12.86/13.24
% 12.86/13.24 subsumption: (62396) {G15,W5,D2,L1,V2,M1} F(62367);r(62388) { perp( Y, X, X
% 12.86/13.24 , Y ) }.
% 12.86/13.24 parent0: (63926) {G15,W5,D2,L1,V2,M1} { perp( Y, X, X, Y ) }.
% 12.86/13.24 substitution0:
% 12.86/13.24 X := X
% 12.86/13.24 Y := Y
% 12.86/13.24 end
% 12.86/13.24 permutation0:
% 12.86/13.24 0 ==> 0
% 12.86/13.24 end
% 12.86/13.24
% 12.86/13.24 resolution: (63927) {G1,W9,D2,L2,V2,M2} { ! cong( X, Y, X, Y ), midp( X, Y
% 12.86/13.24 , Y ) }.
% 12.86/13.24 parent0[1]: (67) {G0,W13,D2,L3,V3,M3} I { ! cong( X, Y, X, Z ), ! coll( X,
% 12.86/13.24 Y, Z ), midp( X, Y, Z ) }.
% 12.86/13.24 parent1[0]: (61039) {G14,W4,D2,L1,V2,M1} S(49614);r(56616) { coll( Z, X, X
% 12.86/13.24 ) }.
% 12.86/13.24 substitution0:
% 12.86/13.24 X := X
% 12.86/13.24 Y := Y
% 12.86/13.24 Z := Y
% 12.86/13.24 end
% 12.86/13.24 substitution1:
% 12.86/13.24 X := Y
% 12.86/13.24 Y := Z
% 12.86/13.24 Z := X
% 12.86/13.24 end
% 12.86/13.24
% 12.86/13.24 resolution: (63928) {G2,W4,D2,L1,V2,M1} { midp( X, Y, Y ) }.
% 12.86/13.24 parent0[0]: (63927) {G1,W9,D2,L2,V2,M2} { ! cong( X, Y, X, Y ), midp( X, Y
% 12.86/13.24 , Y ) }.
% 12.86/13.24 parent1[0]: (62388) {G14,W5,D2,L1,V2,M1} S(1016);r(56616);r(56616) { cong(
% 12.86/13.24 X, Y, X, Y ) }.
% 12.86/13.24 substitution0:
% 12.86/13.24 X := X
% 12.86/13.24 Y := Y
% 12.86/13.24 end
% 12.86/13.24 substitution1:
% 12.86/13.24 X := X
% 12.86/13.24 Y := Y
% 12.86/13.24 end
% 12.86/13.24
% 12.86/13.24 subsumption: (62411) {G15,W4,D2,L1,V2,M1} R(61039,67);r(62388) { midp( X, Y
% 12.86/13.24 , Y ) }.
% 12.86/13.24 parent0: (63928) {G2,W4,D2,L1,V2,M1} { midp( X, Y, Y ) }.
% 12.86/13.24 substitution0:
% 12.86/13.24 X := X
% 12.86/13.24 Y := Y
% 12.86/13.24 end
% 12.86/13.24 permutation0:
% 12.86/13.24 0 ==> 0
% 12.86/13.24 end
% 12.86/13.24
% 12.86/13.24 resolution: (63929) {G1,W10,D2,L2,V3,M2} { ! perp( X, Y, Y, X ), cong( X,
% 12.86/13.24 Z, Y, Z ) }.
% 12.86/13.24 parent0[1]: (52) {G0,W14,D2,L3,V4,M3} I { ! perp( X, Y, Y, T ), ! midp( Z,
% 12.86/13.24 X, T ), cong( X, Z, Y, Z ) }.
% 12.86/13.24 parent1[0]: (62411) {G15,W4,D2,L1,V2,M1} R(61039,67);r(62388) { midp( X, Y
% 12.86/13.24 , Y ) }.
% 12.86/13.24 substitution0:
% 12.86/13.24 X := X
% 12.86/13.24 Y := Y
% 12.86/13.24 Z := Z
% 12.86/13.24 T := X
% 12.86/13.24 end
% 12.86/13.24 substitution1:
% 12.86/13.24 X := Z
% 12.86/13.24 Y := X
% 12.86/13.24 end
% 12.86/13.24
% 12.86/13.24 resolution: (63930) {G2,W5,D2,L1,V3,M1} { cong( X, Z, Y, Z ) }.
% 12.86/13.24 parent0[0]: (63929) {G1,W10,D2,L2,V3,M2} { ! perp( X, Y, Y, X ), cong( X,
% 12.86/13.24 Z, Y, Z ) }.
% 12.86/13.24 parent1[0]: (62396) {G15,W5,D2,L1,V2,M1} F(62367);r(62388) { perp( Y, X, X
% 12.86/13.24 , Y ) }.
% 12.86/13.24 substitution0:
% 12.86/13.24 X := X
% 12.86/13.24 Y := Y
% 12.86/13.24 Z := Z
% 12.86/13.24 end
% 12.86/13.24 substitution1:
% 12.86/13.24 X := Y
% 12.86/13.24 Y := X
% 12.86/13.24 end
% 12.86/13.24
% 12.86/13.24 subsumption: (62428) {G16,W5,D2,L1,V3,M1} R(62411,52);r(62396) { cong( X, Z
% 12.86/13.24 , Y, Z ) }.
% 12.86/13.24 parent0: (63930) {G2,W5,D2,L1,V3,M1} { cong( X, Z, Y, Z ) }.
% 12.86/13.24 substitution0:
% 12.86/13.24 X := X
% 12.86/13.24 Y := Y
% 12.86/13.24 Z := Z
% 12.86/13.24 end
% 12.86/13.24 permutation0:
% 12.86/13.24 0 ==> 0
% 12.86/13.24 end
% 12.86/13.24
% 12.86/13.24 resolution: (63931) {G7,W5,D2,L1,V1,M1} { ! cong( X, skol20, skol22,
% 12.86/13.24 skol20 ) }.
% 12.86/13.24 parent0[0]: (695) {G6,W10,D2,L2,V2,M2} R(692,24) { ! cong( skol23, skol20,
% 12.86/13.24 X, Y ), ! cong( X, Y, skol22, skol20 ) }.
% 12.86/13.24 parent1[0]: (62428) {G16,W5,D2,L1,V3,M1} R(62411,52);r(62396) { cong( X, Z
% 12.86/13.24 , Y, Z ) }.
% 12.86/13.24 substitution0:
% 12.86/13.24 X := X
% 12.86/13.24 Y := skol20
% 12.86/13.24 end
% 12.86/13.24 substitution1:
% 12.86/13.24 X := skol23
% 12.86/13.24 Y := X
% 12.86/13.24 Z := skol20
% 12.86/13.24 end
% 12.86/13.24
% 12.86/13.24 resolution: (63933) {G8,W0,D0,L0,V0,M0} { }.
% 12.86/13.24 parent0[0]: (63931) {G7,W5,D2,L1,V1,M1} { ! cong( X, skol20, skol22,
% 12.86/13.24 skol20 ) }.
% 12.86/13.24 parent1[0]: (62428) {G16,W5,D2,L1,V3,M1} R(62411,52);r(62396) { cong( X, Z
% 12.86/13.24 , Y, Z ) }.
% 12.86/13.24 substitution0:
% 12.86/13.24 X := X
% 12.86/13.24 end
% 12.86/13.24 substitution1:
% 12.86/13.24 X := X
% 12.86/13.24 Y := skol22
% 12.86/13.24 Z := skol20
% 12.86/13.24 end
% 12.86/13.24
% 12.86/13.24 subsumption: (63315) {G17,W0,D0,L0,V0,M0} R(62428,695);r(62428) { }.
% 12.86/13.24 parent0: (63933) {G8,W0,D0,L0,V0,M0} { }.
% 12.86/13.24 substitution0:
% 12.86/13.24 end
% 12.86/13.24 permutation0:
% 12.86/13.24 end
% 12.86/13.24
% 12.86/13.24 Proof check complete!
% 12.86/13.24
% 12.86/13.24 Memory use:
% 12.86/13.24
% 12.86/13.24 space for terms: 845096
% 12.86/13.24 space for clauses: 2805299
% 12.86/13.24
% 12.86/13.24
% 12.86/13.24 clauses generated: 397091
% 12.86/13.24 clauses kept: 63316
% 12.86/13.24 clauses selected: 3375
% 12.86/13.24 clauses deleted: 36907
% 12.86/13.24 clauses inuse deleted: 2853
% 12.86/13.24
% 12.86/13.24 subsentry: 18362790
% 12.86/13.24 literals s-matched: 9312547
% 12.86/13.24 literals matched: 4866945
% 12.86/13.24 full subsumption: 1849507
% 12.86/13.24
% 12.86/13.24 checksum: 1713272791
% 12.86/13.24
% 12.86/13.24
% 12.86/13.24 Bliksem ended
%------------------------------------------------------------------------------