TSTP Solution File: GEO627+1 by Bliksem---1.12
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : GEO627+1 : TPTP v8.1.0. Released v7.5.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n012.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 0s
% DateTime : Sat Jul 16 02:55:12 EDT 2022
% Result : Theorem 16.97s 17.40s
% Output : Refutation 16.97s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.13 % Problem : GEO627+1 : TPTP v8.1.0. Released v7.5.0.
% 0.08/0.14 % Command : bliksem %s
% 0.14/0.36 % Computer : n012.cluster.edu
% 0.14/0.36 % Model : x86_64 x86_64
% 0.14/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36 % Memory : 8042.1875MB
% 0.14/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36 % CPULimit : 300
% 0.14/0.36 % DateTime : Fri Jun 17 15:35:23 EDT 2022
% 0.14/0.36 % CPUTime :
% 0.80/1.23 *** allocated 10000 integers for termspace/termends
% 0.80/1.23 *** allocated 10000 integers for clauses
% 0.80/1.23 *** allocated 10000 integers for justifications
% 0.80/1.23 Bliksem 1.12
% 0.80/1.23
% 0.80/1.23
% 0.80/1.23 Automatic Strategy Selection
% 0.80/1.23
% 0.80/1.23 *** allocated 15000 integers for termspace/termends
% 0.80/1.23
% 0.80/1.23 Clauses:
% 0.80/1.23
% 0.80/1.23 { ! coll( X, Y, Z ), coll( X, Z, Y ) }.
% 0.80/1.23 { ! coll( X, Y, Z ), coll( Y, X, Z ) }.
% 0.80/1.23 { ! coll( X, T, Y ), ! coll( X, T, Z ), coll( Y, Z, X ) }.
% 0.80/1.23 { ! para( X, Y, Z, T ), para( X, Y, T, Z ) }.
% 0.80/1.23 { ! para( X, Y, Z, T ), para( Z, T, X, Y ) }.
% 0.80/1.23 { ! para( X, Y, U, W ), ! para( U, W, Z, T ), para( X, Y, Z, T ) }.
% 0.80/1.23 { ! perp( X, Y, Z, T ), perp( X, Y, T, Z ) }.
% 0.80/1.23 { ! perp( X, Y, Z, T ), perp( Z, T, X, Y ) }.
% 0.80/1.23 { ! perp( X, Y, U, W ), ! perp( U, W, Z, T ), para( X, Y, Z, T ) }.
% 0.80/1.23 { ! para( X, Y, U, W ), ! perp( U, W, Z, T ), perp( X, Y, Z, T ) }.
% 0.80/1.23 { ! midp( Z, Y, X ), midp( Z, X, Y ) }.
% 0.80/1.23 { ! cong( T, X, T, Y ), ! cong( T, X, T, Z ), circle( T, X, Y, Z ) }.
% 0.80/1.23 { ! cong( U, X, U, Y ), ! cong( U, X, U, Z ), ! cong( U, X, U, T ), cyclic
% 0.80/1.23 ( X, Y, Z, T ) }.
% 0.80/1.23 { ! cyclic( X, Y, Z, T ), cyclic( X, Y, T, Z ) }.
% 0.80/1.23 { ! cyclic( X, Y, Z, T ), cyclic( X, Z, Y, T ) }.
% 0.80/1.23 { ! cyclic( X, Y, Z, T ), cyclic( Y, X, Z, T ) }.
% 0.80/1.23 { ! cyclic( U, X, Y, Z ), ! cyclic( U, X, Y, T ), cyclic( X, Y, Z, T ) }.
% 0.80/1.23 { ! eqangle( X, Y, Z, T, U, W, V0, V1 ), eqangle( Y, X, Z, T, U, W, V0, V1
% 0.80/1.23 ) }.
% 0.80/1.23 { ! eqangle( X, Y, Z, T, U, W, V0, V1 ), eqangle( Z, T, X, Y, V0, V1, U, W
% 0.80/1.23 ) }.
% 0.80/1.23 { ! eqangle( X, Y, Z, T, U, W, V0, V1 ), eqangle( U, W, V0, V1, X, Y, Z, T
% 0.80/1.23 ) }.
% 0.80/1.23 { ! eqangle( X, Y, Z, T, U, W, V0, V1 ), eqangle( X, Y, U, W, Z, T, V0, V1
% 0.80/1.23 ) }.
% 0.80/1.23 { ! eqangle( X, Y, Z, T, V2, V3, V4, V5 ), ! eqangle( V2, V3, V4, V5, U, W
% 0.80/1.23 , V0, V1 ), eqangle( X, Y, Z, T, U, W, V0, V1 ) }.
% 0.80/1.23 { ! cong( X, Y, Z, T ), cong( X, Y, T, Z ) }.
% 0.80/1.23 { ! cong( X, Y, Z, T ), cong( Z, T, X, Y ) }.
% 0.80/1.23 { ! cong( X, Y, U, W ), ! cong( U, W, Z, T ), cong( X, Y, Z, T ) }.
% 0.80/1.23 { ! eqratio( X, Y, Z, T, U, W, V0, V1 ), eqratio( Y, X, Z, T, U, W, V0, V1
% 0.80/1.23 ) }.
% 0.80/1.23 { ! eqratio( X, Y, Z, T, U, W, V0, V1 ), eqratio( Z, T, X, Y, V0, V1, U, W
% 0.80/1.23 ) }.
% 0.80/1.23 { ! eqratio( X, Y, Z, T, U, W, V0, V1 ), eqratio( U, W, V0, V1, X, Y, Z, T
% 0.80/1.23 ) }.
% 0.80/1.23 { ! eqratio( X, Y, Z, T, U, W, V0, V1 ), eqratio( X, Y, U, W, Z, T, V0, V1
% 0.80/1.23 ) }.
% 0.80/1.23 { ! eqratio( X, Y, Z, T, V2, V3, V4, V5 ), ! eqratio( V2, V3, V4, V5, U, W
% 0.80/1.23 , V0, V1 ), eqratio( X, Y, Z, T, U, W, V0, V1 ) }.
% 0.80/1.23 { ! simtri( X, Z, Y, T, W, U ), simtri( X, Y, Z, T, U, W ) }.
% 0.80/1.23 { ! simtri( Y, X, Z, U, T, W ), simtri( X, Y, Z, T, U, W ) }.
% 0.80/1.23 { ! simtri( T, U, W, X, Y, Z ), simtri( X, Y, Z, T, U, W ) }.
% 0.80/1.23 { ! simtri( X, Y, Z, V0, V1, V2 ), ! simtri( V0, V1, V2, T, U, W ), simtri
% 0.80/1.23 ( X, Y, Z, T, U, W ) }.
% 0.80/1.23 { ! contri( X, Z, Y, T, W, U ), contri( X, Y, Z, T, U, W ) }.
% 0.80/1.23 { ! contri( Y, X, Z, U, T, W ), contri( X, Y, Z, T, U, W ) }.
% 0.80/1.23 { ! contri( T, U, W, X, Y, Z ), contri( X, Y, Z, T, U, W ) }.
% 0.80/1.23 { ! contri( X, Y, Z, V0, V1, V2 ), ! contri( V0, V1, V2, T, U, W ), contri
% 0.80/1.23 ( X, Y, Z, T, U, W ) }.
% 0.80/1.23 { ! eqangle( X, Y, U, W, Z, T, U, W ), para( X, Y, Z, T ) }.
% 0.80/1.23 { ! para( X, Y, Z, T ), eqangle( X, Y, U, W, Z, T, U, W ) }.
% 0.80/1.23 { ! cyclic( X, Y, Z, T ), eqangle( Z, X, Z, Y, T, X, T, Y ) }.
% 0.80/1.23 { ! eqangle( Z, X, Z, Y, T, X, T, Y ), coll( Z, T, X ), cyclic( X, Y, Z, T
% 0.80/1.23 ) }.
% 0.80/1.23 { ! eqangle( Z, X, Z, Y, T, X, T, Y ), ! coll( Z, T, Y ), cyclic( X, Y, Z,
% 0.80/1.23 T ) }.
% 0.80/1.23 { ! cyclic( X, Y, U, Z ), ! cyclic( X, Y, U, T ), ! cyclic( X, Y, U, W ), !
% 0.80/1.23 eqangle( U, X, U, Y, W, Z, W, T ), cong( X, Y, Z, T ) }.
% 0.80/1.23 { ! midp( Z, U, X ), ! midp( T, U, Y ), para( Z, T, X, Y ) }.
% 0.80/1.23 { ! midp( U, X, T ), ! para( U, Z, T, Y ), ! coll( Z, X, Y ), midp( Z, X, Y
% 0.80/1.23 ) }.
% 0.80/1.23 { ! cong( Z, X, Z, Y ), eqangle( Z, X, X, Y, X, Y, Z, Y ) }.
% 0.80/1.23 { ! eqangle( Z, X, X, Y, X, Y, Z, Y ), coll( Z, X, Y ), cong( Z, X, Z, Y )
% 0.80/1.23 }.
% 0.80/1.23 { ! circle( U, X, Y, Z ), ! perp( U, X, X, T ), eqangle( X, T, X, Y, Z, X,
% 0.80/1.23 Z, Y ) }.
% 0.80/1.23 { ! circle( Y, X, T, U ), ! eqangle( X, Z, X, T, U, X, U, T ), perp( Y, X,
% 0.80/1.23 X, Z ) }.
% 0.80/1.23 { ! circle( T, X, Y, Z ), ! midp( U, Y, Z ), eqangle( X, Y, X, Z, T, Y, T,
% 0.80/1.23 U ) }.
% 0.80/1.23 { ! circle( U, T, X, Y ), ! coll( Z, X, Y ), ! eqangle( T, X, T, Y, U, X, U
% 0.80/1.23 , Z ), midp( Z, X, Y ) }.
% 0.80/1.23 { ! perp( X, Y, Y, T ), ! midp( Z, X, T ), cong( X, Z, Y, Z ) }.
% 0.80/1.23 { ! circle( T, X, Y, Z ), ! coll( T, X, Z ), perp( X, Y, Y, Z ) }.
% 0.80/1.23 { ! cyclic( X, Y, Z, T ), ! para( X, Y, Z, T ), eqangle( X, T, Z, T, Z, T,
% 0.80/1.23 Z, Y ) }.
% 0.80/1.23 { ! midp( T, X, Y ), ! perp( Z, T, X, Y ), cong( Z, X, Z, Y ) }.
% 0.80/1.23 { ! cong( X, Z, Y, Z ), ! cong( X, T, Y, T ), perp( X, Y, Z, T ) }.
% 0.80/1.23 { ! cong( X, Y, T, Y ), ! cong( X, Z, T, Z ), ! cyclic( X, T, Y, Z ), perp
% 0.80/1.23 ( Y, X, X, Z ) }.
% 0.80/1.23 { ! eqangle( X, Y, Y, Z, T, U, U, W ), ! eqangle( X, Z, Y, Z, T, W, U, W )
% 0.80/1.23 , coll( X, Y, Z ), simtri( X, Y, Z, T, U, W ) }.
% 0.80/1.23 { ! simtri( X, Y, Z, T, U, W ), eqratio( X, Y, X, Z, T, U, T, W ) }.
% 0.80/1.23 { ! simtri( X, Y, Z, T, U, W ), eqangle( X, Y, Y, Z, T, U, U, W ) }.
% 0.80/1.23 { ! simtri( X, Y, Z, T, U, W ), ! cong( X, Y, T, U ), contri( X, Y, Z, T, U
% 0.80/1.23 , W ) }.
% 0.80/1.23 { ! contri( X, Y, U, Z, T, W ), cong( X, Y, Z, T ) }.
% 0.80/1.23 { ! midp( U, X, Y ), ! midp( U, Z, T ), para( X, Z, Y, T ) }.
% 0.80/1.23 { ! midp( Z, T, U ), ! para( T, X, U, Y ), ! para( T, Y, U, X ), midp( Z, X
% 0.80/1.23 , Y ) }.
% 0.80/1.23 { ! para( X, Y, Z, T ), ! coll( U, X, Z ), ! coll( U, Y, T ), eqratio( U, X
% 0.80/1.23 , X, Z, U, Y, Y, T ) }.
% 0.80/1.23 { ! para( X, Y, X, Z ), coll( X, Y, Z ) }.
% 0.80/1.23 { ! cong( X, Y, X, Z ), ! coll( X, Y, Z ), midp( X, Y, Z ) }.
% 0.80/1.23 { ! midp( X, Y, Z ), cong( X, Y, X, Z ) }.
% 0.80/1.23 { ! midp( X, Y, Z ), coll( X, Y, Z ) }.
% 0.80/1.23 { ! midp( U, X, Y ), ! midp( W, Z, T ), eqratio( U, X, X, Y, W, Z, Z, T ) }
% 0.80/1.23 .
% 0.80/1.23 { ! eqangle( X, Y, Z, T, Z, T, X, Y ), para( X, Y, Z, T ), perp( X, Y, Z, T
% 0.80/1.23 ) }.
% 0.80/1.23 { ! eqangle( X, Y, Z, T, Z, T, X, Y ), perp( X, Y, Z, T ), para( X, Y, Z, T
% 0.80/1.23 ) }.
% 0.80/1.23 { ! eqangle( X, Y, Z, T, U, W, V0, V1 ), ! para( U, W, V0, V1 ), para( X, Y
% 0.80/1.23 , Z, T ) }.
% 0.80/1.23 { ! eqangle( X, Y, Z, T, U, W, V0, V1 ), ! perp( U, W, V0, V1 ), perp( X, Y
% 0.80/1.23 , Z, T ) }.
% 0.80/1.23 { ! eqratio( X, Y, Z, T, U, W, V0, V1 ), ! cong( U, W, V0, V1 ), cong( X, Y
% 0.80/1.23 , Z, T ) }.
% 0.80/1.23 { ! perp( Z, Y, Y, X ), ! eqangle( T, Z, Y, Z, Y, Z, X, Z ), coll( skol1( U
% 0.80/1.23 , W, Z, T ), Z, T ) }.
% 0.80/1.23 { ! perp( Z, Y, Y, X ), ! eqangle( T, Z, Y, Z, Y, Z, X, Z ), coll( skol1( X
% 0.80/1.23 , Y, Z, T ), X, Y ) }.
% 0.80/1.23 { ! cong( Z, X, Z, Y ), ! eqangle( X, Z, Z, T, Z, T, Z, Y ), coll( skol2( U
% 0.80/1.23 , W, Z, T ), Z, T ) }.
% 0.80/1.23 { ! cong( Z, X, Z, Y ), ! eqangle( X, Z, Z, T, Z, T, Z, Y ), coll( Y, X,
% 0.80/1.23 skol2( X, Y, Z, T ) ) }.
% 0.80/1.23 { ! perp( Z, T, X, Y ), ! eqangle( X, Z, Z, T, Z, T, Z, Y ), coll( skol3( U
% 0.80/1.23 , W, Z, T ), Z, T ) }.
% 0.80/1.23 { ! perp( Z, T, X, Y ), ! eqangle( X, Z, Z, T, Z, T, Z, Y ), coll( Y, X,
% 0.80/1.23 skol3( X, Y, Z, T ) ) }.
% 0.80/1.23 { ! perp( Z, T, X, Y ), ! cong( Z, X, Z, Y ), coll( skol4( U, W, Z, T ), Z
% 0.80/1.23 , T ) }.
% 0.80/1.23 { ! perp( Z, T, X, Y ), ! cong( Z, X, Z, Y ), coll( Y, X, skol4( X, Y, Z, T
% 0.80/1.23 ) ) }.
% 0.80/1.23 { ! eqangle( X, Z, Y, Z, X, T, Y, U ), coll( X, Y, Z ), cyclic( T, Y, Z,
% 0.80/1.23 skol5( W, Y, Z, T ) ) }.
% 0.80/1.23 { ! eqangle( X, Z, Y, Z, X, T, Y, U ), coll( X, Y, Z ), eqangle( X, Z, Y, Z
% 0.80/1.23 , X, skol5( X, Y, Z, T ), Y, skol5( X, Y, Z, T ) ) }.
% 0.80/1.23 { ! midp( U, X, Y ), ! midp( W, Z, T ), midp( skol6( X, V0, V1, T, V2, V3 )
% 0.80/1.23 , X, T ) }.
% 0.80/1.23 { ! midp( U, X, Y ), ! midp( W, Z, T ), para( skol6( X, V0, Z, T, V1, W ),
% 0.80/1.23 W, X, Z ) }.
% 0.80/1.23 { ! midp( U, X, Y ), ! midp( W, Z, T ), para( skol6( X, Y, Z, T, U, W ), U
% 0.80/1.23 , Y, T ) }.
% 0.80/1.23 { ! midp( Z, X, Y ), ! midp( W, T, U ), ! coll( T, X, Y ), ! coll( U, X, Y
% 0.80/1.23 ), midp( skol7( X, V0 ), X, V0 ) }.
% 0.80/1.23 { ! midp( T, X, U ), ! para( X, W, Z, T ), ! para( X, W, U, Y ), ! coll( W
% 0.80/1.23 , Y, Z ), coll( skol8( V0, V1, Z, T ), T, Z ) }.
% 0.80/1.23 { ! midp( T, X, U ), ! para( X, W, Z, T ), ! para( X, W, U, Y ), ! coll( W
% 0.80/1.23 , Y, Z ), coll( skol8( X, Y, Z, T ), X, Y ) }.
% 0.80/1.23 { ! cong( T, Z, T, U ), ! perp( X, Y, Y, T ), cong( T, Z, T, skol9( W, V0,
% 0.80/1.23 Z, T ) ) }.
% 0.80/1.23 { ! cong( T, Z, T, U ), ! perp( X, Y, Y, T ), cong( Y, Z, Y, skol9( W, Y, Z
% 0.80/1.23 , T ) ) }.
% 0.80/1.23 { ! cong( T, Z, T, U ), ! perp( X, Y, Y, T ), para( skol9( X, Y, Z, T ), Z
% 0.80/1.23 , X, Y ) }.
% 0.80/1.23 { ! perp( X, T, Y, Z ), ! perp( Y, T, X, Z ), coll( skol10( U, Y, Z ), Z, Y
% 0.80/1.23 ) }.
% 0.80/1.23 { ! perp( X, T, Y, Z ), ! perp( Y, T, X, Z ), perp( X, skol10( X, Y, Z ), Z
% 0.80/1.23 , Y ) }.
% 0.80/1.23 { ! perp( X, T, Y, Z ), ! perp( Y, T, X, Z ), alpha1( X, Y, Z ) }.
% 0.80/1.23 { ! alpha1( X, Y, Z ), coll( skol11( X, T, Z ), Z, X ) }.
% 0.80/1.23 { ! alpha1( X, Y, Z ), perp( Y, skol11( X, Y, Z ), Z, X ) }.
% 0.80/1.23 { ! coll( T, Z, X ), ! perp( Y, T, Z, X ), alpha1( X, Y, Z ) }.
% 0.80/1.23 { ! circle( Y, X, Z, T ), perp( skol12( X, Y ), X, X, Y ) }.
% 3.63/4.04 { ! circle( W, X, Y, Z ), ! cong( W, X, W, T ), ! cong( U, X, U, Y ), W = U
% 3.63/4.04 , alpha2( X, Z, U, skol13( X, V0, Z, V1, U ) ) }.
% 3.63/4.04 { ! circle( W, X, Y, Z ), ! cong( W, X, W, T ), ! cong( U, X, U, Y ), W = U
% 3.63/4.04 , coll( skol21( V0, Y, T, V1 ), Y, T ) }.
% 3.63/4.04 { ! circle( W, X, Y, Z ), ! cong( W, X, W, T ), ! cong( U, X, U, Y ), W = U
% 3.63/4.04 , cong( skol21( X, Y, T, U ), U, U, X ) }.
% 3.63/4.04 { ! alpha2( X, Y, Z, T ), coll( T, X, Y ) }.
% 3.63/4.04 { ! alpha2( X, Y, Z, T ), cong( T, Z, Z, X ) }.
% 3.63/4.04 { ! coll( T, X, Y ), ! cong( T, Z, Z, X ), alpha2( X, Y, Z, T ) }.
% 3.63/4.04 { ! cyclic( X, Y, Z, T ), ! para( X, Y, Z, T ), ! midp( U, X, Y ), circle(
% 3.63/4.04 skol14( X, Y, Z ), X, Y, Z ) }.
% 3.63/4.04 { ! perp( X, Z, Z, Y ), ! cyclic( X, Y, Z, T ), circle( skol15( X, Y, Z ),
% 3.63/4.04 X, Y, Z ) }.
% 3.63/4.04 { ! perp( X, U, U, T ), ! coll( T, Y, Z ), coll( skol16( W, Y, Z ), Y, Z )
% 3.63/4.04 }.
% 3.63/4.04 { ! perp( X, U, U, T ), ! coll( T, Y, Z ), perp( skol16( X, Y, Z ), X, Y, Z
% 3.63/4.04 ) }.
% 3.63/4.04 { ! perp( X, Z, X, Y ), ! perp( Y, X, Y, T ), ! midp( U, Z, T ), midp(
% 3.63/4.04 skol17( X, Y ), X, Y ) }.
% 3.63/4.04 { ! cong( Y, X, Y, Z ), ! perp( X, Y, Y, Z ), coll( X, Y, skol18( X, Y ) )
% 3.63/4.04 }.
% 3.63/4.04 { ! cong( Y, X, Y, Z ), ! perp( X, Y, Y, Z ), cong( Y, X, Y, skol18( X, Y )
% 3.63/4.04 ) }.
% 3.63/4.04 { ! para( U, W, X, Y ), ! coll( Z, U, X ), ! coll( Z, W, Y ), ! coll( T, U
% 3.63/4.04 , W ), coll( Z, T, skol19( V0, V1, Z, T ) ) }.
% 3.63/4.04 { ! para( U, W, X, Y ), ! coll( Z, U, X ), ! coll( Z, W, Y ), ! coll( T, U
% 3.63/4.04 , W ), coll( skol19( X, Y, Z, T ), X, Y ) }.
% 3.63/4.04 { circle( skol27, skol20, skol25, skol26 ) }.
% 3.63/4.04 { circle( skol27, skol20, skol22, skol28 ) }.
% 3.63/4.04 { perp( skol29, skol22, skol20, skol26 ) }.
% 3.63/4.04 { coll( skol29, skol20, skol26 ) }.
% 3.63/4.04 { perp( skol30, skol22, skol20, skol25 ) }.
% 3.63/4.04 { coll( skol30, skol20, skol25 ) }.
% 3.63/4.04 { circle( skol27, skol20, skol23, skol31 ) }.
% 3.63/4.04 { perp( skol32, skol23, skol20, skol25 ) }.
% 3.63/4.04 { coll( skol32, skol20, skol25 ) }.
% 3.63/4.04 { perp( skol33, skol23, skol20, skol26 ) }.
% 3.63/4.04 { coll( skol33, skol20, skol26 ) }.
% 3.63/4.04 { perp( skol29, skol30, skol23, skol24 ) }.
% 3.63/4.04 { perp( skol32, skol33, skol22, skol24 ) }.
% 3.63/4.04 { ! cyclic( skol20, skol22, skol23, skol24 ) }.
% 3.63/4.04
% 3.63/4.04 percentage equality = 0.008621, percentage horn = 0.930769
% 3.63/4.04 This is a problem with some equality
% 3.63/4.04
% 3.63/4.04
% 3.63/4.04
% 3.63/4.04 Options Used:
% 3.63/4.04
% 3.63/4.04 useres = 1
% 3.63/4.04 useparamod = 1
% 3.63/4.04 useeqrefl = 1
% 3.63/4.04 useeqfact = 1
% 3.63/4.04 usefactor = 1
% 3.63/4.04 usesimpsplitting = 0
% 3.63/4.04 usesimpdemod = 5
% 3.63/4.04 usesimpres = 3
% 3.63/4.04
% 3.63/4.04 resimpinuse = 1000
% 3.63/4.04 resimpclauses = 20000
% 3.63/4.04 substype = eqrewr
% 3.63/4.04 backwardsubs = 1
% 3.63/4.04 selectoldest = 5
% 3.63/4.04
% 3.63/4.04 litorderings [0] = split
% 3.63/4.04 litorderings [1] = extend the termordering, first sorting on arguments
% 3.63/4.04
% 3.63/4.04 termordering = kbo
% 3.63/4.04
% 3.63/4.04 litapriori = 0
% 3.63/4.04 termapriori = 1
% 3.63/4.04 litaposteriori = 0
% 3.63/4.04 termaposteriori = 0
% 3.63/4.04 demodaposteriori = 0
% 3.63/4.04 ordereqreflfact = 0
% 3.63/4.04
% 3.63/4.04 litselect = negord
% 3.63/4.04
% 3.63/4.04 maxweight = 15
% 3.63/4.04 maxdepth = 30000
% 3.63/4.04 maxlength = 115
% 3.63/4.04 maxnrvars = 195
% 3.63/4.04 excuselevel = 1
% 3.63/4.04 increasemaxweight = 1
% 3.63/4.04
% 3.63/4.04 maxselected = 10000000
% 3.63/4.04 maxnrclauses = 10000000
% 3.63/4.04
% 3.63/4.04 showgenerated = 0
% 3.63/4.04 showkept = 0
% 3.63/4.04 showselected = 0
% 3.63/4.04 showdeleted = 0
% 3.63/4.04 showresimp = 1
% 3.63/4.04 showstatus = 2000
% 3.63/4.04
% 3.63/4.04 prologoutput = 0
% 3.63/4.04 nrgoals = 5000000
% 3.63/4.04 totalproof = 1
% 3.63/4.04
% 3.63/4.04 Symbols occurring in the translation:
% 3.63/4.04
% 3.63/4.04 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 3.63/4.04 . [1, 2] (w:1, o:48, a:1, s:1, b:0),
% 3.63/4.04 ! [4, 1] (w:0, o:43, a:1, s:1, b:0),
% 3.63/4.04 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 3.63/4.04 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 3.63/4.04 coll [38, 3] (w:1, o:76, a:1, s:1, b:0),
% 3.63/4.04 para [40, 4] (w:1, o:84, a:1, s:1, b:0),
% 3.63/4.04 perp [43, 4] (w:1, o:85, a:1, s:1, b:0),
% 3.63/4.04 midp [45, 3] (w:1, o:77, a:1, s:1, b:0),
% 3.63/4.04 cong [47, 4] (w:1, o:86, a:1, s:1, b:0),
% 3.63/4.04 circle [48, 4] (w:1, o:87, a:1, s:1, b:0),
% 3.63/4.04 cyclic [49, 4] (w:1, o:88, a:1, s:1, b:0),
% 3.63/4.04 eqangle [54, 8] (w:1, o:103, a:1, s:1, b:0),
% 3.63/4.04 eqratio [57, 8] (w:1, o:104, a:1, s:1, b:0),
% 3.63/4.04 simtri [59, 6] (w:1, o:100, a:1, s:1, b:0),
% 3.63/4.04 contri [60, 6] (w:1, o:101, a:1, s:1, b:0),
% 3.63/4.04 alpha1 [70, 3] (w:1, o:78, a:1, s:1, b:1),
% 3.63/4.04 alpha2 [71, 4] (w:1, o:89, a:1, s:1, b:1),
% 3.63/4.04 skol1 [72, 4] (w:1, o:90, a:1, s:1, b:1),
% 3.63/4.04 skol2 [73, 4] (w:1, o:92, a:1, s:1, b:1),
% 16.97/17.40 skol3 [74, 4] (w:1, o:94, a:1, s:1, b:1),
% 16.97/17.40 skol4 [75, 4] (w:1, o:95, a:1, s:1, b:1),
% 16.97/17.40 skol5 [76, 4] (w:1, o:96, a:1, s:1, b:1),
% 16.97/17.40 skol6 [77, 6] (w:1, o:102, a:1, s:1, b:1),
% 16.97/17.40 skol7 [78, 2] (w:1, o:72, a:1, s:1, b:1),
% 16.97/17.40 skol8 [79, 4] (w:1, o:97, a:1, s:1, b:1),
% 16.97/17.40 skol9 [80, 4] (w:1, o:98, a:1, s:1, b:1),
% 16.97/17.40 skol10 [81, 3] (w:1, o:79, a:1, s:1, b:1),
% 16.97/17.40 skol11 [82, 3] (w:1, o:80, a:1, s:1, b:1),
% 16.97/17.40 skol12 [83, 2] (w:1, o:73, a:1, s:1, b:1),
% 16.97/17.40 skol13 [84, 5] (w:1, o:99, a:1, s:1, b:1),
% 16.97/17.40 skol14 [85, 3] (w:1, o:81, a:1, s:1, b:1),
% 16.97/17.40 skol15 [86, 3] (w:1, o:82, a:1, s:1, b:1),
% 16.97/17.40 skol16 [87, 3] (w:1, o:83, a:1, s:1, b:1),
% 16.97/17.40 skol17 [88, 2] (w:1, o:74, a:1, s:1, b:1),
% 16.97/17.40 skol18 [89, 2] (w:1, o:75, a:1, s:1, b:1),
% 16.97/17.40 skol19 [90, 4] (w:1, o:91, a:1, s:1, b:1),
% 16.97/17.40 skol20 [91, 0] (w:1, o:30, a:1, s:1, b:1),
% 16.97/17.40 skol21 [92, 4] (w:1, o:93, a:1, s:1, b:1),
% 16.97/17.40 skol22 [93, 0] (w:1, o:31, a:1, s:1, b:1),
% 16.97/17.40 skol23 [94, 0] (w:1, o:32, a:1, s:1, b:1),
% 16.97/17.40 skol24 [95, 0] (w:1, o:33, a:1, s:1, b:1),
% 16.97/17.40 skol25 [96, 0] (w:1, o:34, a:1, s:1, b:1),
% 16.97/17.40 skol26 [97, 0] (w:1, o:35, a:1, s:1, b:1),
% 16.97/17.40 skol27 [98, 0] (w:1, o:36, a:1, s:1, b:1),
% 16.97/17.40 skol28 [99, 0] (w:1, o:37, a:1, s:1, b:1),
% 16.97/17.40 skol29 [100, 0] (w:1, o:38, a:1, s:1, b:1),
% 16.97/17.40 skol30 [101, 0] (w:1, o:39, a:1, s:1, b:1),
% 16.97/17.40 skol31 [102, 0] (w:1, o:40, a:1, s:1, b:1),
% 16.97/17.40 skol32 [103, 0] (w:1, o:41, a:1, s:1, b:1),
% 16.97/17.40 skol33 [104, 0] (w:1, o:42, a:1, s:1, b:1).
% 16.97/17.40
% 16.97/17.40
% 16.97/17.40 Starting Search:
% 16.97/17.40
% 16.97/17.40 *** allocated 15000 integers for clauses
% 16.97/17.40 *** allocated 22500 integers for clauses
% 16.97/17.40 *** allocated 33750 integers for clauses
% 16.97/17.40 *** allocated 50625 integers for clauses
% 16.97/17.40 *** allocated 22500 integers for termspace/termends
% 16.97/17.40 *** allocated 75937 integers for clauses
% 16.97/17.40 Resimplifying inuse:
% 16.97/17.40 Done
% 16.97/17.40
% 16.97/17.40 *** allocated 33750 integers for termspace/termends
% 16.97/17.40 *** allocated 113905 integers for clauses
% 16.97/17.40 *** allocated 50625 integers for termspace/termends
% 16.97/17.40
% 16.97/17.40 Intermediate Status:
% 16.97/17.40 Generated: 8484
% 16.97/17.40 Kept: 2006
% 16.97/17.40 Inuse: 321
% 16.97/17.40 Deleted: 0
% 16.97/17.40 Deletedinuse: 0
% 16.97/17.40
% 16.97/17.40 Resimplifying inuse:
% 16.97/17.40 Done
% 16.97/17.40
% 16.97/17.40 *** allocated 170857 integers for clauses
% 16.97/17.40 *** allocated 75937 integers for termspace/termends
% 16.97/17.40 Resimplifying inuse:
% 16.97/17.40 Done
% 16.97/17.40
% 16.97/17.40 *** allocated 256285 integers for clauses
% 16.97/17.40 *** allocated 113905 integers for termspace/termends
% 16.97/17.40
% 16.97/17.40 Intermediate Status:
% 16.97/17.40 Generated: 26374
% 16.97/17.40 Kept: 4032
% 16.97/17.40 Inuse: 466
% 16.97/17.40 Deleted: 1
% 16.97/17.40 Deletedinuse: 1
% 16.97/17.40
% 16.97/17.40 Resimplifying inuse:
% 16.97/17.40 Done
% 16.97/17.40
% 16.97/17.40 Resimplifying inuse:
% 16.97/17.40 Done
% 16.97/17.40
% 16.97/17.40 *** allocated 384427 integers for clauses
% 16.97/17.40 *** allocated 170857 integers for termspace/termends
% 16.97/17.40
% 16.97/17.40 Intermediate Status:
% 16.97/17.40 Generated: 40636
% 16.97/17.40 Kept: 6310
% 16.97/17.40 Inuse: 531
% 16.97/17.40 Deleted: 1
% 16.97/17.40 Deletedinuse: 1
% 16.97/17.40
% 16.97/17.40 Resimplifying inuse:
% 16.97/17.40 Done
% 16.97/17.40
% 16.97/17.40 Resimplifying inuse:
% 16.97/17.40 Done
% 16.97/17.40
% 16.97/17.40 *** allocated 576640 integers for clauses
% 16.97/17.40
% 16.97/17.40 Intermediate Status:
% 16.97/17.40 Generated: 57818
% 16.97/17.40 Kept: 8386
% 16.97/17.40 Inuse: 695
% 16.97/17.40 Deleted: 2
% 16.97/17.40 Deletedinuse: 1
% 16.97/17.40
% 16.97/17.40 Resimplifying inuse:
% 16.97/17.40 Done
% 16.97/17.40
% 16.97/17.40 *** allocated 256285 integers for termspace/termends
% 16.97/17.40 Resimplifying inuse:
% 16.97/17.40 Done
% 16.97/17.40
% 16.97/17.40
% 16.97/17.40 Intermediate Status:
% 16.97/17.40 Generated: 82756
% 16.97/17.40 Kept: 10399
% 16.97/17.40 Inuse: 799
% 16.97/17.40 Deleted: 9
% 16.97/17.40 Deletedinuse: 3
% 16.97/17.40
% 16.97/17.40 Resimplifying inuse:
% 16.97/17.40 Done
% 16.97/17.40
% 16.97/17.40 Resimplifying inuse:
% 16.97/17.40 Done
% 16.97/17.40
% 16.97/17.40 *** allocated 864960 integers for clauses
% 16.97/17.40
% 16.97/17.40 Intermediate Status:
% 16.97/17.40 Generated: 94613
% 16.97/17.40 Kept: 12508
% 16.97/17.40 Inuse: 860
% 16.97/17.40 Deleted: 14
% 16.97/17.40 Deletedinuse: 8
% 16.97/17.40
% 16.97/17.40 Resimplifying inuse:
% 16.97/17.40 Done
% 16.97/17.40
% 16.97/17.40 Resimplifying inuse:
% 16.97/17.40 Done
% 16.97/17.40
% 16.97/17.40
% 16.97/17.40 Intermediate Status:
% 16.97/17.40 Generated: 103897
% 16.97/17.40 Kept: 14536
% 16.97/17.40 Inuse: 928
% 16.97/17.40 Deleted: 16
% 16.97/17.40 Deletedinuse: 8
% 16.97/17.40
% 16.97/17.40 Resimplifying inuse:
% 16.97/17.40 Done
% 16.97/17.40
% 16.97/17.40 *** allocated 384427 integers for termspace/termends
% 16.97/17.40 Resimplifying inuse:
% 16.97/17.40 Done
% 16.97/17.40
% 16.97/17.40
% 16.97/17.40 Intermediate Status:
% 16.97/17.40 Generated: 118735
% 16.97/17.40 Kept: 16542
% 16.97/17.40 Inuse: 1060
% 16.97/17.40 Deleted: 18
% 16.97/17.40 Deletedinuse: 8
% 16.97/17.40
% 16.97/17.40 Resimplifying inuse:
% 16.97/17.40 Done
% 16.97/17.40
% 16.97/17.40 Resimplifying inuse:
% 16.97/17.40 Done
% 16.97/17.40
% 16.97/17.40
% 16.97/17.40 Intermediate Status:
% 16.97/17.40 Generated: 133490
% 16.97/17.40 Kept: 18549
% 16.97/17.40 Inuse: 1194
% 16.97/17.40 Deleted: 18
% 16.97/17.40 Deletedinuse: 8
% 16.97/17.40
% 16.97/17.40 *** allocated 1297440 integers for clauses
% 16.97/17.40 Resimplifying inuse:
% 16.97/17.40 Done
% 16.97/17.40
% 16.97/17.40 Resimplifying inuse:
% 16.97/17.40 Done
% 16.97/17.40
% 16.97/17.40 Resimplifying clauses:
% 16.97/17.40 Done
% 16.97/17.40
% 16.97/17.40
% 16.97/17.40 Intermediate Status:
% 16.97/17.40 Generated: 146327
% 16.97/17.40 Kept: 20569
% 16.97/17.40 Inuse: 1320
% 16.97/17.40 Deleted: 958
% 16.97/17.40 Deletedinuse: 8
% 16.97/17.40
% 16.97/17.40 Resimplifying inuse:
% 16.97/17.40 Done
% 16.97/17.40
% 16.97/17.40 Resimplifying inuse:
% 16.97/17.40 Done
% 16.97/17.40
% 16.97/17.40
% 16.97/17.40 Intermediate Status:
% 16.97/17.40 Generated: 154372
% 16.97/17.40 Kept: 22582
% 16.97/17.40 Inuse: 1385
% 16.97/17.40 Deleted: 958
% 16.97/17.40 Deletedinuse: 8
% 16.97/17.40
% 16.97/17.40 Resimplifying inuse:
% 16.97/17.40 Done
% 16.97/17.40
% 16.97/17.40 Resimplifying inuse:
% 16.97/17.40 Done
% 16.97/17.40
% 16.97/17.40
% 16.97/17.40 Intermediate Status:
% 16.97/17.40 Generated: 164379
% 16.97/17.40 Kept: 24593
% 16.97/17.40 Inuse: 1469
% 16.97/17.40 Deleted: 958
% 16.97/17.40 Deletedinuse: 8
% 16.97/17.40
% 16.97/17.40 Resimplifying inuse:
% 16.97/17.40 Done
% 16.97/17.40
% 16.97/17.40 *** allocated 576640 integers for termspace/termends
% 16.97/17.40 Resimplifying inuse:
% 16.97/17.40 Done
% 16.97/17.40
% 16.97/17.40
% 16.97/17.40 Intermediate Status:
% 16.97/17.40 Generated: 173824
% 16.97/17.40 Kept: 26611
% 16.97/17.40 Inuse: 1555
% 16.97/17.40 Deleted: 958
% 16.97/17.40 Deletedinuse: 8
% 16.97/17.40
% 16.97/17.40 Resimplifying inuse:
% 16.97/17.40 Done
% 16.97/17.40
% 16.97/17.40 *** allocated 1946160 integers for clauses
% 16.97/17.40 Resimplifying inuse:
% 16.97/17.40 Done
% 16.97/17.40
% 16.97/17.40
% 16.97/17.40 Intermediate Status:
% 16.97/17.40 Generated: 184685
% 16.97/17.40 Kept: 28669
% 16.97/17.40 Inuse: 1664
% 16.97/17.40 Deleted: 958
% 16.97/17.40 Deletedinuse: 8
% 16.97/17.40
% 16.97/17.40 Resimplifying inuse:
% 16.97/17.40 Done
% 16.97/17.40
% 16.97/17.40 Resimplifying inuse:
% 16.97/17.40 Done
% 16.97/17.40
% 16.97/17.40
% 16.97/17.40 Intermediate Status:
% 16.97/17.40 Generated: 198843
% 16.97/17.40 Kept: 30681
% 16.97/17.40 Inuse: 1810
% 16.97/17.40 Deleted: 958
% 16.97/17.40 Deletedinuse: 8
% 16.97/17.40
% 16.97/17.40 Resimplifying inuse:
% 16.97/17.40 Done
% 16.97/17.40
% 16.97/17.40 Resimplifying inuse:
% 16.97/17.40 Done
% 16.97/17.40
% 16.97/17.40
% 16.97/17.40 Intermediate Status:
% 16.97/17.40 Generated: 214114
% 16.97/17.40 Kept: 32691
% 16.97/17.40 Inuse: 1958
% 16.97/17.40 Deleted: 959
% 16.97/17.40 Deletedinuse: 8
% 16.97/17.40
% 16.97/17.40 Resimplifying inuse:
% 16.97/17.40 Done
% 16.97/17.40
% 16.97/17.40 Resimplifying inuse:
% 16.97/17.40 Done
% 16.97/17.40
% 16.97/17.40
% 16.97/17.40 Intermediate Status:
% 16.97/17.40 Generated: 234247
% 16.97/17.40 Kept: 34736
% 16.97/17.40 Inuse: 2098
% 16.97/17.40 Deleted: 959
% 16.97/17.40 Deletedinuse: 8
% 16.97/17.40
% 16.97/17.40 Resimplifying inuse:
% 16.97/17.40 Done
% 16.97/17.40
% 16.97/17.40 Resimplifying inuse:
% 16.97/17.40 Done
% 16.97/17.40
% 16.97/17.40
% 16.97/17.40 Intermediate Status:
% 16.97/17.40 Generated: 266177
% 16.97/17.40 Kept: 36747
% 16.97/17.40 Inuse: 2211
% 16.97/17.40 Deleted: 959
% 16.97/17.40 Deletedinuse: 8
% 16.97/17.40
% 16.97/17.40 Resimplifying inuse:
% 16.97/17.40 Done
% 16.97/17.40
% 16.97/17.40 Resimplifying inuse:
% 16.97/17.40 Done
% 16.97/17.40
% 16.97/17.40
% 16.97/17.40 Intermediate Status:
% 16.97/17.40 Generated: 311622
% 16.97/17.40 Kept: 38759
% 16.97/17.40 Inuse: 2334
% 16.97/17.40 Deleted: 959
% 16.97/17.40 Deletedinuse: 8
% 16.97/17.40
% 16.97/17.40 Resimplifying inuse:
% 16.97/17.40 Done
% 16.97/17.40
% 16.97/17.40 Resimplifying inuse:
% 16.97/17.40 Done
% 16.97/17.40
% 16.97/17.40 Resimplifying clauses:
% 16.97/17.40 Done
% 16.97/17.40
% 16.97/17.40 *** allocated 864960 integers for termspace/termends
% 16.97/17.40
% 16.97/17.40 Intermediate Status:
% 16.97/17.40 Generated: 329944
% 16.97/17.40 Kept: 40782
% 16.97/17.40 Inuse: 2458
% 16.97/17.40 Deleted: 1804
% 16.97/17.40 Deletedinuse: 18
% 16.97/17.40
% 16.97/17.40 Resimplifying inuse:
% 16.97/17.40 Done
% 16.97/17.40
% 16.97/17.40 Resimplifying inuse:
% 16.97/17.40 Done
% 16.97/17.40
% 16.97/17.40
% 16.97/17.40 Intermediate Status:
% 16.97/17.40 Generated: 344901
% 16.97/17.40 Kept: 42787
% 16.97/17.40 Inuse: 2585
% 16.97/17.40 Deleted: 1825
% 16.97/17.40 Deletedinuse: 39
% 16.97/17.40
% 16.97/17.40 *** allocated 2919240 integers for clauses
% 16.97/17.40 Resimplifying inuse:
% 16.97/17.40 Done
% 16.97/17.40
% 16.97/17.40 Resimplifying inuse:
% 16.97/17.40 Done
% 16.97/17.40
% 16.97/17.40
% 16.97/17.40 Intermediate Status:
% 16.97/17.40 Generated: 359460
% 16.97/17.40 Kept: 44791
% 16.97/17.40 Inuse: 2704
% 16.97/17.40 Deleted: 1840
% 16.97/17.40 Deletedinuse: 54
% 16.97/17.40
% 16.97/17.40 Resimplifying inuse:
% 16.97/17.40 Done
% 16.97/17.40
% 16.97/17.40 Resimplifying inuse:
% 16.97/17.40 Done
% 16.97/17.40
% 16.97/17.40
% 16.97/17.40 Intermediate Status:
% 16.97/17.40 Generated: 379031
% 16.97/17.40 Kept: 46792
% 16.97/17.40 Inuse: 2869
% 16.97/17.40 Deleted: 1856
% 16.97/17.40 Deletedinuse: 70
% 16.97/17.40
% 16.97/17.40 Resimplifying inuse:
% 16.97/17.40 Done
% 16.97/17.40
% 16.97/17.40 Resimplifying inuse:
% 16.97/17.40 Done
% 16.97/17.40
% 16.97/17.40
% 16.97/17.40 Intermediate Status:
% 16.97/17.40 Generated: 396510
% 16.97/17.40 Kept: 48794
% 16.97/17.40 Inuse: 3015
% 16.97/17.40 Deleted: 1874
% 16.97/17.40 Deletedinuse: 87
% 16.97/17.40
% 16.97/17.40 Resimplifying inuse:
% 16.97/17.40 Done
% 16.97/17.40
% 16.97/17.40 Resimplifying inuse:
% 16.97/17.40 Done
% 16.97/17.40
% 16.97/17.40
% 16.97/17.40 Intermediate Status:
% 16.97/17.40 Generated: 425434
% 16.97/17.40 Kept: 50799
% 16.97/17.40 Inuse: 3225
% 16.97/17.40 Deleted: 1901
% 16.97/17.40 Deletedinuse: 95
% 16.97/17.40
% 16.97/17.40 Resimplifying inuse:
% 16.97/17.40 Done
% 16.97/17.40
% 16.97/17.40
% 16.97/17.40 Bliksems!, er is een bewijs:
% 16.97/17.40 % SZS status Theorem
% 16.97/17.40 % SZS output start Refutation
% 16.97/17.40
% 16.97/17.40 (0) {G0,W8,D2,L2,V3,M2} I { ! coll( X, Y, Z ), coll( X, Z, Y ) }.
% 16.97/17.40 (1) {G0,W8,D2,L2,V3,M2} I { ! coll( X, Y, Z ), coll( Y, X, Z ) }.
% 16.97/17.40 (2) {G0,W12,D2,L3,V4,M3} I { ! coll( X, T, Y ), ! coll( X, T, Z ), coll( Y
% 16.97/17.40 , Z, X ) }.
% 16.97/17.40 (4) {G0,W10,D2,L2,V4,M2} I { ! para( X, Y, Z, T ), para( Z, T, X, Y ) }.
% 16.97/17.40 (5) {G0,W15,D2,L3,V6,M3} I { ! para( X, Y, U, W ), ! para( U, W, Z, T ),
% 16.97/17.40 para( X, Y, Z, T ) }.
% 16.97/17.40 (6) {G0,W10,D2,L2,V4,M2} I { ! perp( X, Y, Z, T ), perp( X, Y, T, Z ) }.
% 16.97/17.40 (7) {G0,W10,D2,L2,V4,M2} I { ! perp( X, Y, Z, T ), perp( Z, T, X, Y ) }.
% 16.97/17.40 (8) {G0,W15,D2,L3,V6,M3} I { ! perp( X, Y, U, W ), ! perp( U, W, Z, T ),
% 16.97/17.40 para( X, Y, Z, T ) }.
% 16.97/17.40 (13) {G0,W10,D2,L2,V4,M2} I { ! cyclic( X, Y, Z, T ), cyclic( X, Y, T, Z )
% 16.97/17.40 }.
% 16.97/17.40 (14) {G0,W10,D2,L2,V4,M2} I { ! cyclic( X, Y, Z, T ), cyclic( X, Z, Y, T )
% 16.97/17.40 }.
% 16.97/17.40 (15) {G0,W10,D2,L2,V4,M2} I { ! cyclic( X, Y, Z, T ), cyclic( Y, X, Z, T )
% 16.97/17.40 }.
% 16.97/17.40 (16) {G0,W15,D2,L3,V5,M3} I { ! cyclic( U, X, Y, Z ), ! cyclic( U, X, Y, T
% 16.97/17.40 ), cyclic( X, Y, Z, T ) }.
% 16.97/17.40 (18) {G0,W18,D2,L2,V8,M2} I { ! eqangle( X, Y, Z, T, U, W, V0, V1 ),
% 16.97/17.40 eqangle( Z, T, X, Y, V0, V1, U, W ) }.
% 16.97/17.40 (39) {G0,W14,D2,L2,V6,M2} I { ! para( X, Y, Z, T ), eqangle( X, Y, U, W, Z
% 16.97/17.40 , T, U, W ) }.
% 16.97/17.40 (42) {G0,W18,D2,L3,V4,M3} I { ! eqangle( Z, X, Z, Y, T, X, T, Y ), ! coll(
% 16.97/17.40 Z, T, Y ), cyclic( X, Y, Z, T ) }.
% 16.97/17.40 (121) {G0,W4,D2,L1,V0,M1} I { coll( skol30, skol20, skol25 ) }.
% 16.97/17.40 (123) {G0,W5,D2,L1,V0,M1} I { perp( skol32, skol23, skol20, skol25 ) }.
% 16.97/17.40 (129) {G0,W5,D2,L1,V0,M1} I { ! cyclic( skol20, skol22, skol23, skol24 )
% 16.97/17.40 }.
% 16.97/17.40 (168) {G1,W4,D2,L1,V0,M1} R(0,121) { coll( skol30, skol25, skol20 ) }.
% 16.97/17.40 (173) {G2,W4,D2,L1,V0,M1} R(1,168) { coll( skol25, skol30, skol20 ) }.
% 16.97/17.40 (206) {G1,W12,D2,L3,V4,M3} R(2,0) { ! coll( X, Y, Z ), ! coll( X, Y, T ),
% 16.97/17.40 coll( Z, X, T ) }.
% 16.97/17.40 (215) {G2,W8,D2,L2,V3,M2} F(206) { ! coll( X, Y, Z ), coll( Z, X, Z ) }.
% 16.97/17.40 (251) {G1,W15,D2,L3,V6,M3} R(5,4) { ! para( X, Y, Z, T ), para( X, Y, U, W
% 16.97/17.40 ), ! para( U, W, Z, T ) }.
% 16.97/17.40 (255) {G2,W10,D2,L2,V4,M2} F(251) { ! para( X, Y, Z, T ), para( X, Y, X, Y
% 16.97/17.40 ) }.
% 16.97/17.40 (257) {G1,W5,D2,L1,V0,M1} R(6,123) { perp( skol32, skol23, skol25, skol20 )
% 16.97/17.40 }.
% 16.97/17.40 (267) {G1,W5,D2,L1,V0,M1} R(7,123) { perp( skol20, skol25, skol32, skol23 )
% 16.97/17.40 }.
% 16.97/17.40 (292) {G2,W10,D2,L2,V2,M2} R(8,257) { ! perp( X, Y, skol32, skol23 ), para
% 16.97/17.40 ( X, Y, skol25, skol20 ) }.
% 16.97/17.40 (403) {G1,W5,D2,L1,V0,M1} R(13,129) { ! cyclic( skol20, skol22, skol24,
% 16.97/17.40 skol23 ) }.
% 16.97/17.40 (415) {G1,W10,D2,L2,V4,M2} R(14,13) { ! cyclic( X, Y, Z, T ), cyclic( X, Z
% 16.97/17.40 , T, Y ) }.
% 16.97/17.40 (423) {G1,W10,D2,L2,V4,M2} R(15,14) { cyclic( X, Y, Z, T ), ! cyclic( Y, Z
% 16.97/17.40 , X, T ) }.
% 16.97/17.40 (426) {G1,W10,D2,L2,V4,M2} R(15,13) { cyclic( X, Y, Z, T ), ! cyclic( Y, X
% 16.97/17.40 , T, Z ) }.
% 16.97/17.40 (447) {G1,W15,D2,L3,V5,M3} R(16,15) { ! cyclic( X, Y, Z, T ), ! cyclic( X,
% 16.97/17.40 Y, Z, U ), cyclic( Z, Y, T, U ) }.
% 16.97/17.40 (453) {G2,W10,D2,L2,V1,M2} R(16,403) { ! cyclic( X, skol20, skol22, skol24
% 16.97/17.40 ), ! cyclic( X, skol20, skol22, skol23 ) }.
% 16.97/17.40 (455) {G1,W15,D2,L3,V5,M3} R(16,13) { ! cyclic( X, Y, Z, T ), cyclic( Y, Z
% 16.97/17.40 , T, U ), ! cyclic( X, Y, U, Z ) }.
% 16.97/17.40 (459) {G2,W10,D2,L2,V4,M2} F(447) { ! cyclic( X, Y, Z, T ), cyclic( Z, Y, T
% 16.97/17.40 , T ) }.
% 16.97/17.40 (575) {G3,W4,D2,L1,V0,M1} R(215,173) { coll( skol20, skol25, skol20 ) }.
% 16.97/17.40 (678) {G4,W4,D2,L1,V0,M1} R(575,0) { coll( skol20, skol20, skol25 ) }.
% 16.97/17.40 (798) {G1,W14,D2,L2,V6,M2} R(39,18) { ! para( X, Y, Z, T ), eqangle( U, W,
% 16.97/17.40 X, Y, U, W, Z, T ) }.
% 16.97/17.40 (919) {G5,W14,D2,L2,V1,M2} R(42,678) { ! eqangle( skol20, X, skol20, skol25
% 16.97/17.40 , skol20, X, skol20, skol25 ), cyclic( X, skol25, skol20, skol20 ) }.
% 16.97/17.40 (18375) {G3,W5,D2,L1,V0,M1} R(292,267) { para( skol20, skol25, skol25,
% 16.97/17.40 skol20 ) }.
% 16.97/17.40 (18437) {G4,W5,D2,L1,V0,M1} R(18375,255) { para( skol20, skol25, skol20,
% 16.97/17.40 skol25 ) }.
% 16.97/17.40 (47324) {G5,W9,D2,L1,V2,M1} R(798,18437) { eqangle( X, Y, skol20, skol25, X
% 16.97/17.40 , Y, skol20, skol25 ) }.
% 16.97/17.40 (52073) {G6,W5,D2,L1,V1,M1} S(919);r(47324) { cyclic( X, skol25, skol20,
% 16.97/17.40 skol20 ) }.
% 16.97/17.40 (52094) {G7,W5,D2,L1,V1,M1} R(52073,426) { cyclic( skol25, X, skol20,
% 16.97/17.40 skol20 ) }.
% 16.97/17.40 (52106) {G8,W5,D2,L1,V1,M1} R(52094,459) { cyclic( skol20, X, skol20,
% 16.97/17.40 skol20 ) }.
% 16.97/17.40 (52128) {G9,W5,D2,L1,V1,M1} R(52106,423) { cyclic( skol20, skol20, X,
% 16.97/17.40 skol20 ) }.
% 16.97/17.40 (52129) {G9,W5,D2,L1,V1,M1} R(52106,415) { cyclic( skol20, skol20, skol20,
% 16.97/17.40 X ) }.
% 16.97/17.40 (52134) {G10,W5,D2,L1,V2,M1} R(52128,455);r(52129) { cyclic( skol20, skol20
% 16.97/17.40 , X, Y ) }.
% 16.97/17.40 (52156) {G11,W5,D2,L1,V3,M1} R(52134,455);r(52134) { cyclic( skol20, X, Y,
% 16.97/17.40 Z ) }.
% 16.97/17.40 (52157) {G12,W0,D0,L0,V0,M0} R(52134,453);r(52156) { }.
% 16.97/17.40
% 16.97/17.40
% 16.97/17.40 % SZS output end Refutation
% 16.97/17.40 found a proof!
% 16.97/17.40
% 16.97/17.40
% 16.97/17.40 Unprocessed initial clauses:
% 16.97/17.40
% 16.97/17.40 (52159) {G0,W8,D2,L2,V3,M2} { ! coll( X, Y, Z ), coll( X, Z, Y ) }.
% 16.97/17.40 (52160) {G0,W8,D2,L2,V3,M2} { ! coll( X, Y, Z ), coll( Y, X, Z ) }.
% 16.97/17.40 (52161) {G0,W12,D2,L3,V4,M3} { ! coll( X, T, Y ), ! coll( X, T, Z ), coll
% 16.97/17.40 ( Y, Z, X ) }.
% 16.97/17.40 (52162) {G0,W10,D2,L2,V4,M2} { ! para( X, Y, Z, T ), para( X, Y, T, Z )
% 16.97/17.40 }.
% 16.97/17.40 (52163) {G0,W10,D2,L2,V4,M2} { ! para( X, Y, Z, T ), para( Z, T, X, Y )
% 16.97/17.40 }.
% 16.97/17.40 (52164) {G0,W15,D2,L3,V6,M3} { ! para( X, Y, U, W ), ! para( U, W, Z, T )
% 16.97/17.40 , para( X, Y, Z, T ) }.
% 16.97/17.40 (52165) {G0,W10,D2,L2,V4,M2} { ! perp( X, Y, Z, T ), perp( X, Y, T, Z )
% 16.97/17.40 }.
% 16.97/17.40 (52166) {G0,W10,D2,L2,V4,M2} { ! perp( X, Y, Z, T ), perp( Z, T, X, Y )
% 16.97/17.40 }.
% 16.97/17.40 (52167) {G0,W15,D2,L3,V6,M3} { ! perp( X, Y, U, W ), ! perp( U, W, Z, T )
% 16.97/17.40 , para( X, Y, Z, T ) }.
% 16.97/17.40 (52168) {G0,W15,D2,L3,V6,M3} { ! para( X, Y, U, W ), ! perp( U, W, Z, T )
% 16.97/17.40 , perp( X, Y, Z, T ) }.
% 16.97/17.40 (52169) {G0,W8,D2,L2,V3,M2} { ! midp( Z, Y, X ), midp( Z, X, Y ) }.
% 16.97/17.40 (52170) {G0,W15,D2,L3,V4,M3} { ! cong( T, X, T, Y ), ! cong( T, X, T, Z )
% 16.97/17.40 , circle( T, X, Y, Z ) }.
% 16.97/17.40 (52171) {G0,W20,D2,L4,V5,M4} { ! cong( U, X, U, Y ), ! cong( U, X, U, Z )
% 16.97/17.40 , ! cong( U, X, U, T ), cyclic( X, Y, Z, T ) }.
% 16.97/17.40 (52172) {G0,W10,D2,L2,V4,M2} { ! cyclic( X, Y, Z, T ), cyclic( X, Y, T, Z
% 16.97/17.40 ) }.
% 16.97/17.40 (52173) {G0,W10,D2,L2,V4,M2} { ! cyclic( X, Y, Z, T ), cyclic( X, Z, Y, T
% 16.97/17.40 ) }.
% 16.97/17.40 (52174) {G0,W10,D2,L2,V4,M2} { ! cyclic( X, Y, Z, T ), cyclic( Y, X, Z, T
% 16.97/17.40 ) }.
% 16.97/17.40 (52175) {G0,W15,D2,L3,V5,M3} { ! cyclic( U, X, Y, Z ), ! cyclic( U, X, Y,
% 16.97/17.40 T ), cyclic( X, Y, Z, T ) }.
% 16.97/17.40 (52176) {G0,W18,D2,L2,V8,M2} { ! eqangle( X, Y, Z, T, U, W, V0, V1 ),
% 16.97/17.40 eqangle( Y, X, Z, T, U, W, V0, V1 ) }.
% 16.97/17.40 (52177) {G0,W18,D2,L2,V8,M2} { ! eqangle( X, Y, Z, T, U, W, V0, V1 ),
% 16.97/17.40 eqangle( Z, T, X, Y, V0, V1, U, W ) }.
% 16.97/17.40 (52178) {G0,W18,D2,L2,V8,M2} { ! eqangle( X, Y, Z, T, U, W, V0, V1 ),
% 16.97/17.40 eqangle( U, W, V0, V1, X, Y, Z, T ) }.
% 16.97/17.40 (52179) {G0,W18,D2,L2,V8,M2} { ! eqangle( X, Y, Z, T, U, W, V0, V1 ),
% 16.97/17.40 eqangle( X, Y, U, W, Z, T, V0, V1 ) }.
% 16.97/17.40 (52180) {G0,W27,D2,L3,V12,M3} { ! eqangle( X, Y, Z, T, V2, V3, V4, V5 ), !
% 16.97/17.40 eqangle( V2, V3, V4, V5, U, W, V0, V1 ), eqangle( X, Y, Z, T, U, W, V0,
% 16.97/17.40 V1 ) }.
% 16.97/17.40 (52181) {G0,W10,D2,L2,V4,M2} { ! cong( X, Y, Z, T ), cong( X, Y, T, Z )
% 16.97/17.40 }.
% 16.97/17.40 (52182) {G0,W10,D2,L2,V4,M2} { ! cong( X, Y, Z, T ), cong( Z, T, X, Y )
% 16.97/17.40 }.
% 16.97/17.40 (52183) {G0,W15,D2,L3,V6,M3} { ! cong( X, Y, U, W ), ! cong( U, W, Z, T )
% 16.97/17.40 , cong( X, Y, Z, T ) }.
% 16.97/17.40 (52184) {G0,W18,D2,L2,V8,M2} { ! eqratio( X, Y, Z, T, U, W, V0, V1 ),
% 16.97/17.40 eqratio( Y, X, Z, T, U, W, V0, V1 ) }.
% 16.97/17.40 (52185) {G0,W18,D2,L2,V8,M2} { ! eqratio( X, Y, Z, T, U, W, V0, V1 ),
% 16.97/17.40 eqratio( Z, T, X, Y, V0, V1, U, W ) }.
% 16.97/17.40 (52186) {G0,W18,D2,L2,V8,M2} { ! eqratio( X, Y, Z, T, U, W, V0, V1 ),
% 16.97/17.40 eqratio( U, W, V0, V1, X, Y, Z, T ) }.
% 16.97/17.40 (52187) {G0,W18,D2,L2,V8,M2} { ! eqratio( X, Y, Z, T, U, W, V0, V1 ),
% 16.97/17.40 eqratio( X, Y, U, W, Z, T, V0, V1 ) }.
% 16.97/17.40 (52188) {G0,W27,D2,L3,V12,M3} { ! eqratio( X, Y, Z, T, V2, V3, V4, V5 ), !
% 16.97/17.40 eqratio( V2, V3, V4, V5, U, W, V0, V1 ), eqratio( X, Y, Z, T, U, W, V0,
% 16.97/17.40 V1 ) }.
% 16.97/17.40 (52189) {G0,W14,D2,L2,V6,M2} { ! simtri( X, Z, Y, T, W, U ), simtri( X, Y
% 16.97/17.40 , Z, T, U, W ) }.
% 16.97/17.40 (52190) {G0,W14,D2,L2,V6,M2} { ! simtri( Y, X, Z, U, T, W ), simtri( X, Y
% 16.97/17.40 , Z, T, U, W ) }.
% 16.97/17.40 (52191) {G0,W14,D2,L2,V6,M2} { ! simtri( T, U, W, X, Y, Z ), simtri( X, Y
% 16.97/17.40 , Z, T, U, W ) }.
% 16.97/17.40 (52192) {G0,W21,D2,L3,V9,M3} { ! simtri( X, Y, Z, V0, V1, V2 ), ! simtri(
% 16.97/17.40 V0, V1, V2, T, U, W ), simtri( X, Y, Z, T, U, W ) }.
% 16.97/17.40 (52193) {G0,W14,D2,L2,V6,M2} { ! contri( X, Z, Y, T, W, U ), contri( X, Y
% 16.97/17.40 , Z, T, U, W ) }.
% 16.97/17.40 (52194) {G0,W14,D2,L2,V6,M2} { ! contri( Y, X, Z, U, T, W ), contri( X, Y
% 16.97/17.40 , Z, T, U, W ) }.
% 16.97/17.40 (52195) {G0,W14,D2,L2,V6,M2} { ! contri( T, U, W, X, Y, Z ), contri( X, Y
% 16.97/17.40 , Z, T, U, W ) }.
% 16.97/17.40 (52196) {G0,W21,D2,L3,V9,M3} { ! contri( X, Y, Z, V0, V1, V2 ), ! contri(
% 16.97/17.40 V0, V1, V2, T, U, W ), contri( X, Y, Z, T, U, W ) }.
% 16.97/17.40 (52197) {G0,W14,D2,L2,V6,M2} { ! eqangle( X, Y, U, W, Z, T, U, W ), para(
% 16.97/17.40 X, Y, Z, T ) }.
% 16.97/17.40 (52198) {G0,W14,D2,L2,V6,M2} { ! para( X, Y, Z, T ), eqangle( X, Y, U, W,
% 16.97/17.40 Z, T, U, W ) }.
% 16.97/17.40 (52199) {G0,W14,D2,L2,V4,M2} { ! cyclic( X, Y, Z, T ), eqangle( Z, X, Z, Y
% 16.97/17.40 , T, X, T, Y ) }.
% 16.97/17.40 (52200) {G0,W18,D2,L3,V4,M3} { ! eqangle( Z, X, Z, Y, T, X, T, Y ), coll(
% 16.97/17.40 Z, T, X ), cyclic( X, Y, Z, T ) }.
% 16.97/17.40 (52201) {G0,W18,D2,L3,V4,M3} { ! eqangle( Z, X, Z, Y, T, X, T, Y ), ! coll
% 16.97/17.40 ( Z, T, Y ), cyclic( X, Y, Z, T ) }.
% 16.97/17.40 (52202) {G0,W29,D2,L5,V6,M5} { ! cyclic( X, Y, U, Z ), ! cyclic( X, Y, U,
% 16.97/17.40 T ), ! cyclic( X, Y, U, W ), ! eqangle( U, X, U, Y, W, Z, W, T ), cong( X
% 16.97/17.40 , Y, Z, T ) }.
% 16.97/17.40 (52203) {G0,W13,D2,L3,V5,M3} { ! midp( Z, U, X ), ! midp( T, U, Y ), para
% 16.97/17.40 ( Z, T, X, Y ) }.
% 16.97/17.40 (52204) {G0,W17,D2,L4,V5,M4} { ! midp( U, X, T ), ! para( U, Z, T, Y ), !
% 16.97/17.40 coll( Z, X, Y ), midp( Z, X, Y ) }.
% 16.97/17.40 (52205) {G0,W14,D2,L2,V3,M2} { ! cong( Z, X, Z, Y ), eqangle( Z, X, X, Y,
% 16.97/17.40 X, Y, Z, Y ) }.
% 16.97/17.40 (52206) {G0,W18,D2,L3,V3,M3} { ! eqangle( Z, X, X, Y, X, Y, Z, Y ), coll(
% 16.97/17.40 Z, X, Y ), cong( Z, X, Z, Y ) }.
% 16.97/17.40 (52207) {G0,W19,D2,L3,V5,M3} { ! circle( U, X, Y, Z ), ! perp( U, X, X, T
% 16.97/17.40 ), eqangle( X, T, X, Y, Z, X, Z, Y ) }.
% 16.97/17.40 (52208) {G0,W19,D2,L3,V5,M3} { ! circle( Y, X, T, U ), ! eqangle( X, Z, X
% 16.97/17.40 , T, U, X, U, T ), perp( Y, X, X, Z ) }.
% 16.97/17.40 (52209) {G0,W18,D2,L3,V5,M3} { ! circle( T, X, Y, Z ), ! midp( U, Y, Z ),
% 16.97/17.40 eqangle( X, Y, X, Z, T, Y, T, U ) }.
% 16.97/17.40 (52210) {G0,W22,D2,L4,V5,M4} { ! circle( U, T, X, Y ), ! coll( Z, X, Y ),
% 16.97/17.40 ! eqangle( T, X, T, Y, U, X, U, Z ), midp( Z, X, Y ) }.
% 16.97/17.40 (52211) {G0,W14,D2,L3,V4,M3} { ! perp( X, Y, Y, T ), ! midp( Z, X, T ),
% 16.97/17.40 cong( X, Z, Y, Z ) }.
% 16.97/17.40 (52212) {G0,W14,D2,L3,V4,M3} { ! circle( T, X, Y, Z ), ! coll( T, X, Z ),
% 16.97/17.40 perp( X, Y, Y, Z ) }.
% 16.97/17.40 (52213) {G0,W19,D2,L3,V4,M3} { ! cyclic( X, Y, Z, T ), ! para( X, Y, Z, T
% 16.97/17.40 ), eqangle( X, T, Z, T, Z, T, Z, Y ) }.
% 16.97/17.40 (52214) {G0,W14,D2,L3,V4,M3} { ! midp( T, X, Y ), ! perp( Z, T, X, Y ),
% 16.97/17.40 cong( Z, X, Z, Y ) }.
% 16.97/17.40 (52215) {G0,W15,D2,L3,V4,M3} { ! cong( X, Z, Y, Z ), ! cong( X, T, Y, T )
% 16.97/17.40 , perp( X, Y, Z, T ) }.
% 16.97/17.40 (52216) {G0,W20,D2,L4,V4,M4} { ! cong( X, Y, T, Y ), ! cong( X, Z, T, Z )
% 16.97/17.40 , ! cyclic( X, T, Y, Z ), perp( Y, X, X, Z ) }.
% 16.97/17.40 (52217) {G0,W29,D2,L4,V6,M4} { ! eqangle( X, Y, Y, Z, T, U, U, W ), !
% 16.97/17.40 eqangle( X, Z, Y, Z, T, W, U, W ), coll( X, Y, Z ), simtri( X, Y, Z, T, U
% 16.97/17.40 , W ) }.
% 16.97/17.40 (52218) {G0,W16,D2,L2,V6,M2} { ! simtri( X, Y, Z, T, U, W ), eqratio( X, Y
% 16.97/17.40 , X, Z, T, U, T, W ) }.
% 16.97/17.40 (52219) {G0,W16,D2,L2,V6,M2} { ! simtri( X, Y, Z, T, U, W ), eqangle( X, Y
% 16.97/17.40 , Y, Z, T, U, U, W ) }.
% 16.97/17.40 (52220) {G0,W19,D2,L3,V6,M3} { ! simtri( X, Y, Z, T, U, W ), ! cong( X, Y
% 16.97/17.40 , T, U ), contri( X, Y, Z, T, U, W ) }.
% 16.97/17.40 (52221) {G0,W12,D2,L2,V6,M2} { ! contri( X, Y, U, Z, T, W ), cong( X, Y, Z
% 16.97/17.40 , T ) }.
% 16.97/17.40 (52222) {G0,W13,D2,L3,V5,M3} { ! midp( U, X, Y ), ! midp( U, Z, T ), para
% 16.97/17.40 ( X, Z, Y, T ) }.
% 16.97/17.40 (52223) {G0,W18,D2,L4,V5,M4} { ! midp( Z, T, U ), ! para( T, X, U, Y ), !
% 16.97/17.40 para( T, Y, U, X ), midp( Z, X, Y ) }.
% 16.97/17.40 (52224) {G0,W22,D2,L4,V5,M4} { ! para( X, Y, Z, T ), ! coll( U, X, Z ), !
% 16.97/17.40 coll( U, Y, T ), eqratio( U, X, X, Z, U, Y, Y, T ) }.
% 16.97/17.40 (52225) {G0,W9,D2,L2,V3,M2} { ! para( X, Y, X, Z ), coll( X, Y, Z ) }.
% 16.97/17.40 (52226) {G0,W13,D2,L3,V3,M3} { ! cong( X, Y, X, Z ), ! coll( X, Y, Z ),
% 16.97/17.40 midp( X, Y, Z ) }.
% 16.97/17.40 (52227) {G0,W9,D2,L2,V3,M2} { ! midp( X, Y, Z ), cong( X, Y, X, Z ) }.
% 16.97/17.40 (52228) {G0,W8,D2,L2,V3,M2} { ! midp( X, Y, Z ), coll( X, Y, Z ) }.
% 16.97/17.40 (52229) {G0,W17,D2,L3,V6,M3} { ! midp( U, X, Y ), ! midp( W, Z, T ),
% 16.97/17.40 eqratio( U, X, X, Y, W, Z, Z, T ) }.
% 16.97/17.40 (52230) {G0,W19,D2,L3,V4,M3} { ! eqangle( X, Y, Z, T, Z, T, X, Y ), para(
% 16.97/17.40 X, Y, Z, T ), perp( X, Y, Z, T ) }.
% 16.97/17.40 (52231) {G0,W19,D2,L3,V4,M3} { ! eqangle( X, Y, Z, T, Z, T, X, Y ), perp(
% 16.97/17.40 X, Y, Z, T ), para( X, Y, Z, T ) }.
% 16.97/17.40 (52232) {G0,W19,D2,L3,V8,M3} { ! eqangle( X, Y, Z, T, U, W, V0, V1 ), !
% 16.97/17.40 para( U, W, V0, V1 ), para( X, Y, Z, T ) }.
% 16.97/17.40 (52233) {G0,W19,D2,L3,V8,M3} { ! eqangle( X, Y, Z, T, U, W, V0, V1 ), !
% 16.97/17.40 perp( U, W, V0, V1 ), perp( X, Y, Z, T ) }.
% 16.97/17.40 (52234) {G0,W19,D2,L3,V8,M3} { ! eqratio( X, Y, Z, T, U, W, V0, V1 ), !
% 16.97/17.40 cong( U, W, V0, V1 ), cong( X, Y, Z, T ) }.
% 16.97/17.40 (52235) {G0,W22,D3,L3,V6,M3} { ! perp( Z, Y, Y, X ), ! eqangle( T, Z, Y, Z
% 16.97/17.40 , Y, Z, X, Z ), coll( skol1( U, W, Z, T ), Z, T ) }.
% 16.97/17.40 (52236) {G0,W22,D3,L3,V4,M3} { ! perp( Z, Y, Y, X ), ! eqangle( T, Z, Y, Z
% 16.97/17.40 , Y, Z, X, Z ), coll( skol1( X, Y, Z, T ), X, Y ) }.
% 16.97/17.40 (52237) {G0,W22,D3,L3,V6,M3} { ! cong( Z, X, Z, Y ), ! eqangle( X, Z, Z, T
% 16.97/17.40 , Z, T, Z, Y ), coll( skol2( U, W, Z, T ), Z, T ) }.
% 16.97/17.40 (52238) {G0,W22,D3,L3,V4,M3} { ! cong( Z, X, Z, Y ), ! eqangle( X, Z, Z, T
% 16.97/17.40 , Z, T, Z, Y ), coll( Y, X, skol2( X, Y, Z, T ) ) }.
% 16.97/17.40 (52239) {G0,W22,D3,L3,V6,M3} { ! perp( Z, T, X, Y ), ! eqangle( X, Z, Z, T
% 16.97/17.40 , Z, T, Z, Y ), coll( skol3( U, W, Z, T ), Z, T ) }.
% 16.97/17.40 (52240) {G0,W22,D3,L3,V4,M3} { ! perp( Z, T, X, Y ), ! eqangle( X, Z, Z, T
% 16.97/17.40 , Z, T, Z, Y ), coll( Y, X, skol3( X, Y, Z, T ) ) }.
% 16.97/17.40 (52241) {G0,W18,D3,L3,V6,M3} { ! perp( Z, T, X, Y ), ! cong( Z, X, Z, Y )
% 16.97/17.40 , coll( skol4( U, W, Z, T ), Z, T ) }.
% 16.97/17.40 (52242) {G0,W18,D3,L3,V4,M3} { ! perp( Z, T, X, Y ), ! cong( Z, X, Z, Y )
% 16.97/17.40 , coll( Y, X, skol4( X, Y, Z, T ) ) }.
% 16.97/17.40 (52243) {G0,W22,D3,L3,V6,M3} { ! eqangle( X, Z, Y, Z, X, T, Y, U ), coll(
% 16.97/17.40 X, Y, Z ), cyclic( T, Y, Z, skol5( W, Y, Z, T ) ) }.
% 16.97/17.40 (52244) {G0,W30,D3,L3,V5,M3} { ! eqangle( X, Z, Y, Z, X, T, Y, U ), coll(
% 16.97/17.40 X, Y, Z ), eqangle( X, Z, Y, Z, X, skol5( X, Y, Z, T ), Y, skol5( X, Y, Z
% 16.97/17.40 , T ) ) }.
% 16.97/17.40 (52245) {G0,W18,D3,L3,V10,M3} { ! midp( U, X, Y ), ! midp( W, Z, T ), midp
% 16.97/17.40 ( skol6( X, V0, V1, T, V2, V3 ), X, T ) }.
% 16.97/17.40 (52246) {G0,W19,D3,L3,V8,M3} { ! midp( U, X, Y ), ! midp( W, Z, T ), para
% 16.97/17.40 ( skol6( X, V0, Z, T, V1, W ), W, X, Z ) }.
% 16.97/17.40 (52247) {G0,W19,D3,L3,V6,M3} { ! midp( U, X, Y ), ! midp( W, Z, T ), para
% 16.97/17.40 ( skol6( X, Y, Z, T, U, W ), U, Y, T ) }.
% 16.97/17.40 (52248) {G0,W22,D3,L5,V7,M5} { ! midp( Z, X, Y ), ! midp( W, T, U ), !
% 16.97/17.40 coll( T, X, Y ), ! coll( U, X, Y ), midp( skol7( X, V0 ), X, V0 ) }.
% 16.97/17.40 (52249) {G0,W26,D3,L5,V8,M5} { ! midp( T, X, U ), ! para( X, W, Z, T ), !
% 16.97/17.40 para( X, W, U, Y ), ! coll( W, Y, Z ), coll( skol8( V0, V1, Z, T ), T, Z
% 16.97/17.40 ) }.
% 16.97/17.40 (52250) {G0,W26,D3,L5,V6,M5} { ! midp( T, X, U ), ! para( X, W, Z, T ), !
% 16.97/17.40 para( X, W, U, Y ), ! coll( W, Y, Z ), coll( skol8( X, Y, Z, T ), X, Y )
% 16.97/17.40 }.
% 16.97/17.40 (52251) {G0,W19,D3,L3,V7,M3} { ! cong( T, Z, T, U ), ! perp( X, Y, Y, T )
% 16.97/17.40 , cong( T, Z, T, skol9( W, V0, Z, T ) ) }.
% 16.97/17.40 (52252) {G0,W19,D3,L3,V6,M3} { ! cong( T, Z, T, U ), ! perp( X, Y, Y, T )
% 16.97/17.40 , cong( Y, Z, Y, skol9( W, Y, Z, T ) ) }.
% 16.97/17.40 (52253) {G0,W19,D3,L3,V5,M3} { ! cong( T, Z, T, U ), ! perp( X, Y, Y, T )
% 16.97/17.40 , para( skol9( X, Y, Z, T ), Z, X, Y ) }.
% 16.97/17.40 (52254) {G0,W17,D3,L3,V5,M3} { ! perp( X, T, Y, Z ), ! perp( Y, T, X, Z )
% 16.97/17.40 , coll( skol10( U, Y, Z ), Z, Y ) }.
% 16.97/17.40 (52255) {G0,W18,D3,L3,V4,M3} { ! perp( X, T, Y, Z ), ! perp( Y, T, X, Z )
% 16.97/17.40 , perp( X, skol10( X, Y, Z ), Z, Y ) }.
% 16.97/17.40 (52256) {G0,W14,D2,L3,V4,M3} { ! perp( X, T, Y, Z ), ! perp( Y, T, X, Z )
% 16.97/17.40 , alpha1( X, Y, Z ) }.
% 16.97/17.40 (52257) {G0,W11,D3,L2,V4,M2} { ! alpha1( X, Y, Z ), coll( skol11( X, T, Z
% 16.97/17.40 ), Z, X ) }.
% 16.97/17.40 (52258) {G0,W12,D3,L2,V3,M2} { ! alpha1( X, Y, Z ), perp( Y, skol11( X, Y
% 16.97/17.40 , Z ), Z, X ) }.
% 16.97/17.40 (52259) {G0,W13,D2,L3,V4,M3} { ! coll( T, Z, X ), ! perp( Y, T, Z, X ),
% 16.97/17.40 alpha1( X, Y, Z ) }.
% 16.97/17.40 (52260) {G0,W12,D3,L2,V4,M2} { ! circle( Y, X, Z, T ), perp( skol12( X, Y
% 16.97/17.40 ), X, X, Y ) }.
% 16.97/17.40 (52261) {G0,W28,D3,L5,V8,M5} { ! circle( W, X, Y, Z ), ! cong( W, X, W, T
% 16.97/17.40 ), ! cong( U, X, U, Y ), W = U, alpha2( X, Z, U, skol13( X, V0, Z, V1, U
% 16.97/17.40 ) ) }.
% 16.97/17.40 (52262) {G0,W26,D3,L5,V8,M5} { ! circle( W, X, Y, Z ), ! cong( W, X, W, T
% 16.97/17.40 ), ! cong( U, X, U, Y ), W = U, coll( skol21( V0, Y, T, V1 ), Y, T ) }.
% 16.97/17.40 (52263) {G0,W27,D3,L5,V6,M5} { ! circle( W, X, Y, Z ), ! cong( W, X, W, T
% 16.97/17.40 ), ! cong( U, X, U, Y ), W = U, cong( skol21( X, Y, T, U ), U, U, X )
% 16.97/17.40 }.
% 16.97/17.40 (52264) {G0,W9,D2,L2,V4,M2} { ! alpha2( X, Y, Z, T ), coll( T, X, Y ) }.
% 16.97/17.40 (52265) {G0,W10,D2,L2,V4,M2} { ! alpha2( X, Y, Z, T ), cong( T, Z, Z, X )
% 16.97/17.40 }.
% 16.97/17.40 (52266) {G0,W14,D2,L3,V4,M3} { ! coll( T, X, Y ), ! cong( T, Z, Z, X ),
% 16.97/17.40 alpha2( X, Y, Z, T ) }.
% 16.97/17.40 (52267) {G0,W22,D3,L4,V5,M4} { ! cyclic( X, Y, Z, T ), ! para( X, Y, Z, T
% 16.97/17.40 ), ! midp( U, X, Y ), circle( skol14( X, Y, Z ), X, Y, Z ) }.
% 16.97/17.40 (52268) {G0,W18,D3,L3,V4,M3} { ! perp( X, Z, Z, Y ), ! cyclic( X, Y, Z, T
% 16.97/17.40 ), circle( skol15( X, Y, Z ), X, Y, Z ) }.
% 16.97/17.40 (52269) {G0,W16,D3,L3,V6,M3} { ! perp( X, U, U, T ), ! coll( T, Y, Z ),
% 16.97/17.40 coll( skol16( W, Y, Z ), Y, Z ) }.
% 16.97/17.40 (52270) {G0,W17,D3,L3,V5,M3} { ! perp( X, U, U, T ), ! coll( T, Y, Z ),
% 16.97/17.40 perp( skol16( X, Y, Z ), X, Y, Z ) }.
% 16.97/17.40 (52271) {G0,W20,D3,L4,V5,M4} { ! perp( X, Z, X, Y ), ! perp( Y, X, Y, T )
% 16.97/17.40 , ! midp( U, Z, T ), midp( skol17( X, Y ), X, Y ) }.
% 16.97/17.40 (52272) {G0,W16,D3,L3,V3,M3} { ! cong( Y, X, Y, Z ), ! perp( X, Y, Y, Z )
% 16.97/17.40 , coll( X, Y, skol18( X, Y ) ) }.
% 16.97/17.40 (52273) {G0,W17,D3,L3,V3,M3} { ! cong( Y, X, Y, Z ), ! perp( X, Y, Y, Z )
% 16.97/17.40 , cong( Y, X, Y, skol18( X, Y ) ) }.
% 16.97/17.40 (52274) {G0,W25,D3,L5,V8,M5} { ! para( U, W, X, Y ), ! coll( Z, U, X ), !
% 16.97/17.40 coll( Z, W, Y ), ! coll( T, U, W ), coll( Z, T, skol19( V0, V1, Z, T ) )
% 16.97/17.40 }.
% 16.97/17.40 (52275) {G0,W25,D3,L5,V6,M5} { ! para( U, W, X, Y ), ! coll( Z, U, X ), !
% 16.97/17.40 coll( Z, W, Y ), ! coll( T, U, W ), coll( skol19( X, Y, Z, T ), X, Y )
% 16.97/17.40 }.
% 16.97/17.40 (52276) {G0,W5,D2,L1,V0,M1} { circle( skol27, skol20, skol25, skol26 ) }.
% 16.97/17.40 (52277) {G0,W5,D2,L1,V0,M1} { circle( skol27, skol20, skol22, skol28 ) }.
% 16.97/17.40 (52278) {G0,W5,D2,L1,V0,M1} { perp( skol29, skol22, skol20, skol26 ) }.
% 16.97/17.40 (52279) {G0,W4,D2,L1,V0,M1} { coll( skol29, skol20, skol26 ) }.
% 16.97/17.40 (52280) {G0,W5,D2,L1,V0,M1} { perp( skol30, skol22, skol20, skol25 ) }.
% 16.97/17.40 (52281) {G0,W4,D2,L1,V0,M1} { coll( skol30, skol20, skol25 ) }.
% 16.97/17.40 (52282) {G0,W5,D2,L1,V0,M1} { circle( skol27, skol20, skol23, skol31 ) }.
% 16.97/17.40 (52283) {G0,W5,D2,L1,V0,M1} { perp( skol32, skol23, skol20, skol25 ) }.
% 16.97/17.40 (52284) {G0,W4,D2,L1,V0,M1} { coll( skol32, skol20, skol25 ) }.
% 16.97/17.40 (52285) {G0,W5,D2,L1,V0,M1} { perp( skol33, skol23, skol20, skol26 ) }.
% 16.97/17.40 (52286) {G0,W4,D2,L1,V0,M1} { coll( skol33, skol20, skol26 ) }.
% 16.97/17.40 (52287) {G0,W5,D2,L1,V0,M1} { perp( skol29, skol30, skol23, skol24 ) }.
% 16.97/17.40 (52288) {G0,W5,D2,L1,V0,M1} { perp( skol32, skol33, skol22, skol24 ) }.
% 16.97/17.40 (52289) {G0,W5,D2,L1,V0,M1} { ! cyclic( skol20, skol22, skol23, skol24 )
% 16.97/17.40 }.
% 16.97/17.40
% 16.97/17.40
% 16.97/17.40 Total Proof:
% 16.97/17.40
% 16.97/17.40 subsumption: (0) {G0,W8,D2,L2,V3,M2} I { ! coll( X, Y, Z ), coll( X, Z, Y )
% 16.97/17.40 }.
% 16.97/17.40 parent0: (52159) {G0,W8,D2,L2,V3,M2} { ! coll( X, Y, Z ), coll( X, Z, Y )
% 16.97/17.40 }.
% 16.97/17.40 substitution0:
% 16.97/17.40 X := X
% 16.97/17.40 Y := Y
% 16.97/17.40 Z := Z
% 16.97/17.40 end
% 16.97/17.40 permutation0:
% 16.97/17.40 0 ==> 0
% 16.97/17.40 1 ==> 1
% 16.97/17.40 end
% 16.97/17.40
% 16.97/17.40 subsumption: (1) {G0,W8,D2,L2,V3,M2} I { ! coll( X, Y, Z ), coll( Y, X, Z )
% 16.97/17.40 }.
% 16.97/17.40 parent0: (52160) {G0,W8,D2,L2,V3,M2} { ! coll( X, Y, Z ), coll( Y, X, Z )
% 16.97/17.40 }.
% 16.97/17.40 substitution0:
% 16.97/17.40 X := X
% 16.97/17.40 Y := Y
% 16.97/17.40 Z := Z
% 16.97/17.40 end
% 16.97/17.40 permutation0:
% 16.97/17.40 0 ==> 0
% 16.97/17.40 1 ==> 1
% 16.97/17.40 end
% 16.97/17.40
% 16.97/17.40 subsumption: (2) {G0,W12,D2,L3,V4,M3} I { ! coll( X, T, Y ), ! coll( X, T,
% 16.97/17.40 Z ), coll( Y, Z, X ) }.
% 16.97/17.40 parent0: (52161) {G0,W12,D2,L3,V4,M3} { ! coll( X, T, Y ), ! coll( X, T, Z
% 16.97/17.40 ), coll( Y, Z, X ) }.
% 16.97/17.40 substitution0:
% 16.97/17.40 X := X
% 16.97/17.40 Y := Y
% 16.97/17.40 Z := Z
% 16.97/17.40 T := T
% 16.97/17.40 end
% 16.97/17.40 permutation0:
% 16.97/17.40 0 ==> 0
% 16.97/17.40 1 ==> 1
% 16.97/17.40 2 ==> 2
% 16.97/17.40 end
% 16.97/17.40
% 16.97/17.40 subsumption: (4) {G0,W10,D2,L2,V4,M2} I { ! para( X, Y, Z, T ), para( Z, T
% 16.97/17.40 , X, Y ) }.
% 16.97/17.40 parent0: (52163) {G0,W10,D2,L2,V4,M2} { ! para( X, Y, Z, T ), para( Z, T,
% 16.97/17.40 X, Y ) }.
% 16.97/17.40 substitution0:
% 16.97/17.40 X := X
% 16.97/17.40 Y := Y
% 16.97/17.40 Z := Z
% 16.97/17.40 T := T
% 16.97/17.40 end
% 16.97/17.40 permutation0:
% 16.97/17.40 0 ==> 0
% 16.97/17.40 1 ==> 1
% 16.97/17.40 end
% 16.97/17.40
% 16.97/17.40 subsumption: (5) {G0,W15,D2,L3,V6,M3} I { ! para( X, Y, U, W ), ! para( U,
% 16.97/17.40 W, Z, T ), para( X, Y, Z, T ) }.
% 16.97/17.40 parent0: (52164) {G0,W15,D2,L3,V6,M3} { ! para( X, Y, U, W ), ! para( U, W
% 16.97/17.40 , Z, T ), para( X, Y, Z, T ) }.
% 16.97/17.40 substitution0:
% 16.97/17.40 X := X
% 16.97/17.40 Y := Y
% 16.97/17.40 Z := Z
% 16.97/17.40 T := T
% 16.97/17.40 U := U
% 16.97/17.40 W := W
% 16.97/17.40 end
% 16.97/17.40 permutation0:
% 16.97/17.40 0 ==> 0
% 16.97/17.40 1 ==> 1
% 16.97/17.40 2 ==> 2
% 16.97/17.40 end
% 16.97/17.40
% 16.97/17.40 subsumption: (6) {G0,W10,D2,L2,V4,M2} I { ! perp( X, Y, Z, T ), perp( X, Y
% 16.97/17.40 , T, Z ) }.
% 16.97/17.40 parent0: (52165) {G0,W10,D2,L2,V4,M2} { ! perp( X, Y, Z, T ), perp( X, Y,
% 16.97/17.40 T, Z ) }.
% 16.97/17.40 substitution0:
% 16.97/17.40 X := X
% 16.97/17.40 Y := Y
% 16.97/17.40 Z := Z
% 16.97/17.40 T := T
% 16.97/17.40 end
% 16.97/17.40 permutation0:
% 16.97/17.40 0 ==> 0
% 16.97/17.40 1 ==> 1
% 16.97/17.40 end
% 16.97/17.40
% 16.97/17.40 subsumption: (7) {G0,W10,D2,L2,V4,M2} I { ! perp( X, Y, Z, T ), perp( Z, T
% 16.97/17.40 , X, Y ) }.
% 16.97/17.40 parent0: (52166) {G0,W10,D2,L2,V4,M2} { ! perp( X, Y, Z, T ), perp( Z, T,
% 16.97/17.40 X, Y ) }.
% 16.97/17.40 substitution0:
% 16.97/17.40 X := X
% 16.97/17.40 Y := Y
% 16.97/17.40 Z := Z
% 16.97/17.40 T := T
% 16.97/17.40 end
% 16.97/17.40 permutation0:
% 16.97/17.40 0 ==> 0
% 16.97/17.40 1 ==> 1
% 16.97/17.40 end
% 16.97/17.40
% 16.97/17.40 subsumption: (8) {G0,W15,D2,L3,V6,M3} I { ! perp( X, Y, U, W ), ! perp( U,
% 16.97/17.40 W, Z, T ), para( X, Y, Z, T ) }.
% 16.97/17.40 parent0: (52167) {G0,W15,D2,L3,V6,M3} { ! perp( X, Y, U, W ), ! perp( U, W
% 16.97/17.40 , Z, T ), para( X, Y, Z, T ) }.
% 16.97/17.40 substitution0:
% 16.97/17.40 X := X
% 16.97/17.40 Y := Y
% 16.97/17.40 Z := Z
% 16.97/17.40 T := T
% 16.97/17.40 U := U
% 16.97/17.40 W := W
% 16.97/17.40 end
% 16.97/17.40 permutation0:
% 16.97/17.40 0 ==> 0
% 16.97/17.40 1 ==> 1
% 16.97/17.40 2 ==> 2
% 16.97/17.40 end
% 16.97/17.40
% 16.97/17.40 subsumption: (13) {G0,W10,D2,L2,V4,M2} I { ! cyclic( X, Y, Z, T ), cyclic(
% 16.97/17.40 X, Y, T, Z ) }.
% 16.97/17.40 parent0: (52172) {G0,W10,D2,L2,V4,M2} { ! cyclic( X, Y, Z, T ), cyclic( X
% 16.97/17.40 , Y, T, Z ) }.
% 16.97/17.40 substitution0:
% 16.97/17.40 X := X
% 16.97/17.40 Y := Y
% 16.97/17.40 Z := Z
% 16.97/17.40 T := T
% 16.97/17.40 end
% 16.97/17.40 permutation0:
% 16.97/17.40 0 ==> 0
% 16.97/17.40 1 ==> 1
% 16.97/17.40 end
% 16.97/17.40
% 16.97/17.40 subsumption: (14) {G0,W10,D2,L2,V4,M2} I { ! cyclic( X, Y, Z, T ), cyclic(
% 16.97/17.40 X, Z, Y, T ) }.
% 16.97/17.40 parent0: (52173) {G0,W10,D2,L2,V4,M2} { ! cyclic( X, Y, Z, T ), cyclic( X
% 16.97/17.40 , Z, Y, T ) }.
% 16.97/17.40 substitution0:
% 16.97/17.40 X := X
% 16.97/17.40 Y := Y
% 16.97/17.40 Z := Z
% 16.97/17.40 T := T
% 16.97/17.40 end
% 16.97/17.40 permutation0:
% 16.97/17.40 0 ==> 0
% 16.97/17.40 1 ==> 1
% 16.97/17.40 end
% 16.97/17.40
% 16.97/17.40 subsumption: (15) {G0,W10,D2,L2,V4,M2} I { ! cyclic( X, Y, Z, T ), cyclic(
% 16.97/17.40 Y, X, Z, T ) }.
% 16.97/17.40 parent0: (52174) {G0,W10,D2,L2,V4,M2} { ! cyclic( X, Y, Z, T ), cyclic( Y
% 16.97/17.40 , X, Z, T ) }.
% 16.97/17.40 substitution0:
% 16.97/17.40 X := X
% 16.97/17.40 Y := Y
% 16.97/17.40 Z := Z
% 16.97/17.40 T := T
% 16.97/17.40 end
% 16.97/17.40 permutation0:
% 16.97/17.40 0 ==> 0
% 16.97/17.40 1 ==> 1
% 16.97/17.40 end
% 16.97/17.40
% 16.97/17.40 subsumption: (16) {G0,W15,D2,L3,V5,M3} I { ! cyclic( U, X, Y, Z ), ! cyclic
% 16.97/17.40 ( U, X, Y, T ), cyclic( X, Y, Z, T ) }.
% 16.97/17.40 parent0: (52175) {G0,W15,D2,L3,V5,M3} { ! cyclic( U, X, Y, Z ), ! cyclic(
% 16.97/17.40 U, X, Y, T ), cyclic( X, Y, Z, T ) }.
% 16.97/17.40 substitution0:
% 16.97/17.40 X := X
% 16.97/17.40 Y := Y
% 16.97/17.40 Z := Z
% 16.97/17.40 T := T
% 16.97/17.40 U := U
% 16.97/17.40 end
% 16.97/17.40 permutation0:
% 16.97/17.40 0 ==> 0
% 16.97/17.40 1 ==> 1
% 16.97/17.40 2 ==> 2
% 16.97/17.40 end
% 16.97/17.40
% 16.97/17.40 subsumption: (18) {G0,W18,D2,L2,V8,M2} I { ! eqangle( X, Y, Z, T, U, W, V0
% 16.97/17.40 , V1 ), eqangle( Z, T, X, Y, V0, V1, U, W ) }.
% 16.97/17.40 parent0: (52177) {G0,W18,D2,L2,V8,M2} { ! eqangle( X, Y, Z, T, U, W, V0,
% 16.97/17.40 V1 ), eqangle( Z, T, X, Y, V0, V1, U, W ) }.
% 16.97/17.40 substitution0:
% 16.97/17.40 X := X
% 16.97/17.40 Y := Y
% 16.97/17.40 Z := Z
% 16.97/17.40 T := T
% 16.97/17.40 U := U
% 16.97/17.40 W := W
% 16.97/17.40 V0 := V0
% 16.97/17.40 V1 := V1
% 16.97/17.40 end
% 16.97/17.40 permutation0:
% 16.97/17.40 0 ==> 0
% 16.97/17.40 1 ==> 1
% 16.97/17.40 end
% 16.97/17.40
% 16.97/17.40 subsumption: (39) {G0,W14,D2,L2,V6,M2} I { ! para( X, Y, Z, T ), eqangle( X
% 16.97/17.40 , Y, U, W, Z, T, U, W ) }.
% 16.97/17.40 parent0: (52198) {G0,W14,D2,L2,V6,M2} { ! para( X, Y, Z, T ), eqangle( X,
% 16.97/17.40 Y, U, W, Z, T, U, W ) }.
% 16.97/17.40 substitution0:
% 16.97/17.40 X := X
% 16.97/17.40 Y := Y
% 16.97/17.40 Z := Z
% 16.97/17.40 T := T
% 16.97/17.40 U := U
% 16.97/17.40 W := W
% 16.97/17.40 end
% 16.97/17.40 permutation0:
% 16.97/17.40 0 ==> 0
% 16.97/17.40 1 ==> 1
% 16.97/17.40 end
% 16.97/17.40
% 16.97/17.40 subsumption: (42) {G0,W18,D2,L3,V4,M3} I { ! eqangle( Z, X, Z, Y, T, X, T,
% 16.97/17.40 Y ), ! coll( Z, T, Y ), cyclic( X, Y, Z, T ) }.
% 16.97/17.40 parent0: (52201) {G0,W18,D2,L3,V4,M3} { ! eqangle( Z, X, Z, Y, T, X, T, Y
% 16.97/17.40 ), ! coll( Z, T, Y ), cyclic( X, Y, Z, T ) }.
% 16.97/17.40 substitution0:
% 16.97/17.40 X := X
% 16.97/17.40 Y := Y
% 16.97/17.40 Z := Z
% 16.97/17.40 T := T
% 16.97/17.40 end
% 16.97/17.40 permutation0:
% 16.97/17.40 0 ==> 0
% 16.97/17.40 1 ==> 1
% 16.97/17.40 2 ==> 2
% 16.97/17.40 end
% 16.97/17.40
% 16.97/17.40 subsumption: (121) {G0,W4,D2,L1,V0,M1} I { coll( skol30, skol20, skol25 )
% 16.97/17.40 }.
% 16.97/17.40 parent0: (52281) {G0,W4,D2,L1,V0,M1} { coll( skol30, skol20, skol25 ) }.
% 16.97/17.40 substitution0:
% 16.97/17.40 end
% 16.97/17.40 permutation0:
% 16.97/17.40 0 ==> 0
% 16.97/17.40 end
% 16.97/17.40
% 16.97/17.40 subsumption: (123) {G0,W5,D2,L1,V0,M1} I { perp( skol32, skol23, skol20,
% 16.97/17.40 skol25 ) }.
% 16.97/17.40 parent0: (52283) {G0,W5,D2,L1,V0,M1} { perp( skol32, skol23, skol20,
% 16.97/17.40 skol25 ) }.
% 16.97/17.40 substitution0:
% 16.97/17.40 end
% 16.97/17.40 permutation0:
% 16.97/17.40 0 ==> 0
% 16.97/17.40 end
% 16.97/17.40
% 16.97/17.40 subsumption: (129) {G0,W5,D2,L1,V0,M1} I { ! cyclic( skol20, skol22, skol23
% 16.97/17.40 , skol24 ) }.
% 16.97/17.40 parent0: (52289) {G0,W5,D2,L1,V0,M1} { ! cyclic( skol20, skol22, skol23,
% 16.97/17.40 skol24 ) }.
% 16.97/17.40 substitution0:
% 16.97/17.40 end
% 16.97/17.40 permutation0:
% 16.97/17.40 0 ==> 0
% 16.97/17.40 end
% 16.97/17.40
% 16.97/17.40 resolution: (52527) {G1,W4,D2,L1,V0,M1} { coll( skol30, skol25, skol20 )
% 16.97/17.40 }.
% 16.97/17.40 parent0[0]: (0) {G0,W8,D2,L2,V3,M2} I { ! coll( X, Y, Z ), coll( X, Z, Y )
% 16.97/17.40 }.
% 16.97/17.40 parent1[0]: (121) {G0,W4,D2,L1,V0,M1} I { coll( skol30, skol20, skol25 )
% 16.97/17.40 }.
% 16.97/17.40 substitution0:
% 16.97/17.40 X := skol30
% 16.97/17.40 Y := skol20
% 16.97/17.40 Z := skol25
% 16.97/17.40 end
% 16.97/17.40 substitution1:
% 16.97/17.40 end
% 16.97/17.40
% 16.97/17.40 subsumption: (168) {G1,W4,D2,L1,V0,M1} R(0,121) { coll( skol30, skol25,
% 16.97/17.40 skol20 ) }.
% 16.97/17.40 parent0: (52527) {G1,W4,D2,L1,V0,M1} { coll( skol30, skol25, skol20 ) }.
% 16.97/17.40 substitution0:
% 16.97/17.40 end
% 16.97/17.40 permutation0:
% 16.97/17.40 0 ==> 0
% 16.97/17.40 end
% 16.97/17.40
% 16.97/17.40 resolution: (52528) {G1,W4,D2,L1,V0,M1} { coll( skol25, skol30, skol20 )
% 16.97/17.40 }.
% 16.97/17.40 parent0[0]: (1) {G0,W8,D2,L2,V3,M2} I { ! coll( X, Y, Z ), coll( Y, X, Z )
% 16.97/17.40 }.
% 16.97/17.40 parent1[0]: (168) {G1,W4,D2,L1,V0,M1} R(0,121) { coll( skol30, skol25,
% 16.97/17.40 skol20 ) }.
% 16.97/17.40 substitution0:
% 16.97/17.40 X := skol30
% 16.97/17.40 Y := skol25
% 16.97/17.40 Z := skol20
% 16.97/17.40 end
% 16.97/17.40 substitution1:
% 16.97/17.40 end
% 16.97/17.40
% 16.97/17.40 subsumption: (173) {G2,W4,D2,L1,V0,M1} R(1,168) { coll( skol25, skol30,
% 16.97/17.40 skol20 ) }.
% 16.97/17.40 parent0: (52528) {G1,W4,D2,L1,V0,M1} { coll( skol25, skol30, skol20 ) }.
% 16.97/17.40 substitution0:
% 16.97/17.40 end
% 16.97/17.40 permutation0:
% 16.97/17.40 0 ==> 0
% 16.97/17.40 end
% 16.97/17.40
% 16.97/17.40 resolution: (52532) {G1,W12,D2,L3,V4,M3} { coll( X, Z, Y ), ! coll( Z, T,
% 16.97/17.40 X ), ! coll( Z, T, Y ) }.
% 16.97/17.40 parent0[0]: (0) {G0,W8,D2,L2,V3,M2} I { ! coll( X, Y, Z ), coll( X, Z, Y )
% 16.97/17.40 }.
% 16.97/17.40 parent1[2]: (2) {G0,W12,D2,L3,V4,M3} I { ! coll( X, T, Y ), ! coll( X, T, Z
% 16.97/17.40 ), coll( Y, Z, X ) }.
% 16.97/17.40 substitution0:
% 16.97/17.40 X := X
% 16.97/17.40 Y := Y
% 16.97/17.40 Z := Z
% 16.97/17.40 end
% 16.97/17.40 substitution1:
% 16.97/17.40 X := Z
% 16.97/17.40 Y := X
% 16.97/17.40 Z := Y
% 16.97/17.40 T := T
% 16.97/17.40 end
% 16.97/17.40
% 16.97/17.40 subsumption: (206) {G1,W12,D2,L3,V4,M3} R(2,0) { ! coll( X, Y, Z ), ! coll
% 16.97/17.40 ( X, Y, T ), coll( Z, X, T ) }.
% 16.97/17.40 parent0: (52532) {G1,W12,D2,L3,V4,M3} { coll( X, Z, Y ), ! coll( Z, T, X )
% 16.97/17.40 , ! coll( Z, T, Y ) }.
% 16.97/17.40 substitution0:
% 16.97/17.40 X := Z
% 16.97/17.40 Y := T
% 16.97/17.40 Z := X
% 16.97/17.40 T := Y
% 16.97/17.40 end
% 16.97/17.40 permutation0:
% 16.97/17.40 0 ==> 2
% 16.97/17.40 1 ==> 0
% 16.97/17.40 2 ==> 1
% 16.97/17.40 end
% 16.97/17.40
% 16.97/17.40 factor: (52534) {G1,W8,D2,L2,V3,M2} { ! coll( X, Y, Z ), coll( Z, X, Z )
% 16.97/17.40 }.
% 16.97/17.40 parent0[0, 1]: (206) {G1,W12,D2,L3,V4,M3} R(2,0) { ! coll( X, Y, Z ), !
% 16.97/17.40 coll( X, Y, T ), coll( Z, X, T ) }.
% 16.97/17.40 substitution0:
% 16.97/17.40 X := X
% 16.97/17.40 Y := Y
% 16.97/17.40 Z := Z
% 16.97/17.40 T := Z
% 16.97/17.40 end
% 16.97/17.40
% 16.97/17.40 subsumption: (215) {G2,W8,D2,L2,V3,M2} F(206) { ! coll( X, Y, Z ), coll( Z
% 16.97/17.40 , X, Z ) }.
% 16.97/17.40 parent0: (52534) {G1,W8,D2,L2,V3,M2} { ! coll( X, Y, Z ), coll( Z, X, Z )
% 16.97/17.40 }.
% 16.97/17.40 substitution0:
% 16.97/17.40 X := X
% 16.97/17.40 Y := Y
% 16.97/17.40 Z := Z
% 16.97/17.40 end
% 16.97/17.40 permutation0:
% 16.97/17.40 0 ==> 0
% 16.97/17.40 1 ==> 1
% 16.97/17.40 end
% 16.97/17.40
% 16.97/17.40 resolution: (52536) {G1,W15,D2,L3,V6,M3} { ! para( X, Y, Z, T ), para( X,
% 16.97/17.40 Y, U, W ), ! para( U, W, Z, T ) }.
% 16.97/17.40 parent0[1]: (5) {G0,W15,D2,L3,V6,M3} I { ! para( X, Y, U, W ), ! para( U, W
% 16.97/17.40 , Z, T ), para( X, Y, Z, T ) }.
% 16.97/17.40 parent1[1]: (4) {G0,W10,D2,L2,V4,M2} I { ! para( X, Y, Z, T ), para( Z, T,
% 16.97/17.40 X, Y ) }.
% 16.97/17.40 substitution0:
% 16.97/17.40 X := X
% 16.97/17.40 Y := Y
% 16.97/17.40 Z := U
% 16.97/17.40 T := W
% 16.97/17.40 U := Z
% 16.97/17.40 W := T
% 16.97/17.40 end
% 16.97/17.40 substitution1:
% 16.97/17.40 X := U
% 16.97/17.40 Y := W
% 16.97/17.40 Z := Z
% 16.97/17.40 T := T
% 16.97/17.40 end
% 16.97/17.40
% 16.97/17.40 subsumption: (251) {G1,W15,D2,L3,V6,M3} R(5,4) { ! para( X, Y, Z, T ), para
% 16.97/17.40 ( X, Y, U, W ), ! para( U, W, Z, T ) }.
% 16.97/17.40 parent0: (52536) {G1,W15,D2,L3,V6,M3} { ! para( X, Y, Z, T ), para( X, Y,
% 16.97/17.40 U, W ), ! para( U, W, Z, T ) }.
% 16.97/17.40 substitution0:
% 16.97/17.40 X := X
% 16.97/17.40 Y := Y
% 16.97/17.40 Z := Z
% 16.97/17.40 T := T
% 16.97/17.40 U := U
% 16.97/17.40 W := W
% 16.97/17.40 end
% 16.97/17.40 permutation0:
% 16.97/17.40 0 ==> 0
% 16.97/17.40 1 ==> 1
% 16.97/17.40 2 ==> 2
% 16.97/17.40 end
% 16.97/17.40
% 16.97/17.40 factor: (52539) {G1,W10,D2,L2,V4,M2} { ! para( X, Y, Z, T ), para( X, Y, X
% 16.97/17.40 , Y ) }.
% 16.97/17.40 parent0[0, 2]: (251) {G1,W15,D2,L3,V6,M3} R(5,4) { ! para( X, Y, Z, T ),
% 16.97/17.40 para( X, Y, U, W ), ! para( U, W, Z, T ) }.
% 16.97/17.40 substitution0:
% 16.97/17.40 X := X
% 16.97/17.40 Y := Y
% 16.97/17.40 Z := Z
% 16.97/17.40 T := T
% 16.97/17.40 U := X
% 16.97/17.40 W := Y
% 16.97/17.40 end
% 16.97/17.40
% 16.97/17.40 subsumption: (255) {G2,W10,D2,L2,V4,M2} F(251) { ! para( X, Y, Z, T ), para
% 16.97/17.40 ( X, Y, X, Y ) }.
% 16.97/17.40 parent0: (52539) {G1,W10,D2,L2,V4,M2} { ! para( X, Y, Z, T ), para( X, Y,
% 16.97/17.40 X, Y ) }.
% 16.97/17.40 substitution0:
% 16.97/17.40 X := X
% 16.97/17.40 Y := Y
% 16.97/17.40 Z := Z
% 16.97/17.40 T := T
% 16.97/17.40 end
% 16.97/17.40 permutation0:
% 16.97/17.40 0 ==> 0
% 16.97/17.40 1 ==> 1
% 16.97/17.40 end
% 16.97/17.40
% 16.97/17.40 resolution: (52540) {G1,W5,D2,L1,V0,M1} { perp( skol32, skol23, skol25,
% 16.97/17.40 skol20 ) }.
% 16.97/17.40 parent0[0]: (6) {G0,W10,D2,L2,V4,M2} I { ! perp( X, Y, Z, T ), perp( X, Y,
% 16.97/17.40 T, Z ) }.
% 16.97/17.40 parent1[0]: (123) {G0,W5,D2,L1,V0,M1} I { perp( skol32, skol23, skol20,
% 16.97/17.40 skol25 ) }.
% 16.97/17.40 substitution0:
% 16.97/17.40 X := skol32
% 16.97/17.40 Y := skol23
% 16.97/17.40 Z := skol20
% 16.97/17.40 T := skol25
% 16.97/17.40 end
% 16.97/17.40 substitution1:
% 16.97/17.40 end
% 16.97/17.40
% 16.97/17.40 subsumption: (257) {G1,W5,D2,L1,V0,M1} R(6,123) { perp( skol32, skol23,
% 16.97/17.40 skol25, skol20 ) }.
% 16.97/17.40 parent0: (52540) {G1,W5,D2,L1,V0,M1} { perp( skol32, skol23, skol25,
% 16.97/17.40 skol20 ) }.
% 16.97/17.40 substitution0:
% 16.97/17.40 end
% 16.97/17.40 permutation0:
% 16.97/17.40 0 ==> 0
% 16.97/17.40 end
% 16.97/17.40
% 16.97/17.40 resolution: (52541) {G1,W5,D2,L1,V0,M1} { perp( skol20, skol25, skol32,
% 16.97/17.40 skol23 ) }.
% 16.97/17.40 parent0[0]: (7) {G0,W10,D2,L2,V4,M2} I { ! perp( X, Y, Z, T ), perp( Z, T,
% 16.97/17.40 X, Y ) }.
% 16.97/17.40 parent1[0]: (123) {G0,W5,D2,L1,V0,M1} I { perp( skol32, skol23, skol20,
% 16.97/17.40 skol25 ) }.
% 16.97/17.40 substitution0:
% 16.97/17.40 X := skol32
% 16.97/17.40 Y := skol23
% 16.97/17.40 Z := skol20
% 16.97/17.40 T := skol25
% 16.97/17.40 end
% 16.97/17.40 substitution1:
% 16.97/17.40 end
% 16.97/17.40
% 16.97/17.40 subsumption: (267) {G1,W5,D2,L1,V0,M1} R(7,123) { perp( skol20, skol25,
% 16.97/17.40 skol32, skol23 ) }.
% 16.97/17.40 parent0: (52541) {G1,W5,D2,L1,V0,M1} { perp( skol20, skol25, skol32,
% 16.97/17.40 skol23 ) }.
% 16.97/17.40 substitution0:
% 16.97/17.40 end
% 16.97/17.40 permutation0:
% 16.97/17.40 0 ==> 0
% 16.97/17.40 end
% 16.97/17.40
% 16.97/17.40 resolution: (52543) {G1,W10,D2,L2,V2,M2} { ! perp( X, Y, skol32, skol23 )
% 16.97/17.40 , para( X, Y, skol25, skol20 ) }.
% 16.97/17.40 parent0[1]: (8) {G0,W15,D2,L3,V6,M3} I { ! perp( X, Y, U, W ), ! perp( U, W
% 16.97/17.40 , Z, T ), para( X, Y, Z, T ) }.
% 16.97/17.40 parent1[0]: (257) {G1,W5,D2,L1,V0,M1} R(6,123) { perp( skol32, skol23,
% 16.97/17.40 skol25, skol20 ) }.
% 16.97/17.40 substitution0:
% 16.97/17.40 X := X
% 16.97/17.40 Y := Y
% 16.97/17.40 Z := skol25
% 16.97/17.40 T := skol20
% 16.97/17.40 U := skol32
% 16.97/17.40 W := skol23
% 16.97/17.40 end
% 16.97/17.40 substitution1:
% 16.97/17.40 end
% 16.97/17.40
% 16.97/17.40 subsumption: (292) {G2,W10,D2,L2,V2,M2} R(8,257) { ! perp( X, Y, skol32,
% 16.97/17.40 skol23 ), para( X, Y, skol25, skol20 ) }.
% 16.97/17.40 parent0: (52543) {G1,W10,D2,L2,V2,M2} { ! perp( X, Y, skol32, skol23 ),
% 16.97/17.40 para( X, Y, skol25, skol20 ) }.
% 16.97/17.40 substitution0:
% 16.97/17.40 X := X
% 16.97/17.40 Y := Y
% 16.97/17.40 end
% 16.97/17.40 permutation0:
% 16.97/17.40 0 ==> 0
% 16.97/17.40 1 ==> 1
% 16.97/17.40 end
% 16.97/17.40
% 16.97/17.40 resolution: (52544) {G1,W5,D2,L1,V0,M1} { ! cyclic( skol20, skol22, skol24
% 16.97/17.40 , skol23 ) }.
% 16.97/17.40 parent0[0]: (129) {G0,W5,D2,L1,V0,M1} I { ! cyclic( skol20, skol22, skol23
% 16.97/17.40 , skol24 ) }.
% 16.97/17.40 parent1[1]: (13) {G0,W10,D2,L2,V4,M2} I { ! cyclic( X, Y, Z, T ), cyclic( X
% 16.97/17.40 , Y, T, Z ) }.
% 16.97/17.40 substitution0:
% 16.97/17.40 end
% 16.97/17.40 substitution1:
% 16.97/17.40 X := skol20
% 16.97/17.40 Y := skol22
% 16.97/17.40 Z := skol24
% 16.97/17.40 T := skol23
% 16.97/17.40 end
% 16.97/17.40
% 16.97/17.40 subsumption: (403) {G1,W5,D2,L1,V0,M1} R(13,129) { ! cyclic( skol20, skol22
% 16.97/17.40 , skol24, skol23 ) }.
% 16.97/17.40 parent0: (52544) {G1,W5,D2,L1,V0,M1} { ! cyclic( skol20, skol22, skol24,
% 16.97/17.40 skol23 ) }.
% 16.97/17.40 substitution0:
% 16.97/17.40 end
% 16.97/17.40 permutation0:
% 16.97/17.40 0 ==> 0
% 16.97/17.40 end
% 16.97/17.40
% 16.97/17.40 resolution: (52546) {G1,W10,D2,L2,V4,M2} { cyclic( X, Y, T, Z ), ! cyclic
% 16.97/17.40 ( X, Z, Y, T ) }.
% 16.97/17.40 parent0[0]: (13) {G0,W10,D2,L2,V4,M2} I { ! cyclic( X, Y, Z, T ), cyclic( X
% 16.97/17.40 , Y, T, Z ) }.
% 16.97/17.40 parent1[1]: (14) {G0,W10,D2,L2,V4,M2} I { ! cyclic( X, Y, Z, T ), cyclic( X
% 16.97/17.40 , Z, Y, T ) }.
% 16.97/17.40 substitution0:
% 16.97/17.40 X := X
% 16.97/17.40 Y := Y
% 16.97/17.40 Z := Z
% 16.97/17.40 T := T
% 16.97/17.40 end
% 16.97/17.40 substitution1:
% 16.97/17.40 X := X
% 16.97/17.40 Y := Z
% 16.97/17.40 Z := Y
% 16.97/17.40 T := T
% 16.97/17.40 end
% 16.97/17.40
% 16.97/17.40 subsumption: (415) {G1,W10,D2,L2,V4,M2} R(14,13) { ! cyclic( X, Y, Z, T ),
% 16.97/17.40 cyclic( X, Z, T, Y ) }.
% 16.97/17.40 parent0: (52546) {G1,W10,D2,L2,V4,M2} { cyclic( X, Y, T, Z ), ! cyclic( X
% 16.97/17.40 , Z, Y, T ) }.
% 16.97/17.40 substitution0:
% 16.97/17.40 X := X
% 16.97/17.40 Y := Z
% 16.97/17.40 Z := Y
% 16.97/17.40 T := T
% 16.97/17.40 end
% 16.97/17.40 permutation0:
% 16.97/17.40 0 ==> 1
% 16.97/17.40 1 ==> 0
% 16.97/17.40 end
% 16.97/17.40
% 16.97/17.40 resolution: (52547) {G1,W10,D2,L2,V4,M2} { cyclic( Y, X, Z, T ), ! cyclic
% 16.97/17.40 ( X, Z, Y, T ) }.
% 16.97/17.40 parent0[0]: (15) {G0,W10,D2,L2,V4,M2} I { ! cyclic( X, Y, Z, T ), cyclic( Y
% 16.97/17.40 , X, Z, T ) }.
% 16.97/17.40 parent1[1]: (14) {G0,W10,D2,L2,V4,M2} I { ! cyclic( X, Y, Z, T ), cyclic( X
% 16.97/17.40 , Z, Y, T ) }.
% 16.97/17.40 substitution0:
% 16.97/17.40 X := X
% 16.97/17.40 Y := Y
% 16.97/17.40 Z := Z
% 16.97/17.40 T := T
% 16.97/17.40 end
% 16.97/17.40 substitution1:
% 16.97/17.40 X := X
% 16.97/17.40 Y := Z
% 16.97/17.40 Z := Y
% 16.97/17.40 T := T
% 16.97/17.40 end
% 16.97/17.40
% 16.97/17.40 subsumption: (423) {G1,W10,D2,L2,V4,M2} R(15,14) { cyclic( X, Y, Z, T ), !
% 16.97/17.40 cyclic( Y, Z, X, T ) }.
% 16.97/17.40 parent0: (52547) {G1,W10,D2,L2,V4,M2} { cyclic( Y, X, Z, T ), ! cyclic( X
% 16.97/17.40 , Z, Y, T ) }.
% 16.97/17.40 substitution0:
% 16.97/17.40 X := Y
% 16.97/17.40 Y := X
% 16.97/17.40 Z := Z
% 16.97/17.40 T := T
% 16.97/17.40 end
% 16.97/17.40 permutation0:
% 16.97/17.40 0 ==> 0
% 16.97/17.40 1 ==> 1
% 16.97/17.40 end
% 16.97/17.40
% 16.97/17.40 resolution: (52548) {G1,W10,D2,L2,V4,M2} { cyclic( Y, X, Z, T ), ! cyclic
% 16.97/17.40 ( X, Y, T, Z ) }.
% 16.97/17.40 parent0[0]: (15) {G0,W10,D2,L2,V4,M2} I { ! cyclic( X, Y, Z, T ), cyclic( Y
% 16.97/17.40 , X, Z, T ) }.
% 16.97/17.40 parent1[1]: (13) {G0,W10,D2,L2,V4,M2} I { ! cyclic( X, Y, Z, T ), cyclic( X
% 16.97/17.40 , Y, T, Z ) }.
% 16.97/17.40 substitution0:
% 16.97/17.40 X := X
% 16.97/17.40 Y := Y
% 16.97/17.40 Z := Z
% 16.97/17.40 T := T
% 16.97/17.40 end
% 16.97/17.40 substitution1:
% 16.97/17.40 X := X
% 16.97/17.40 Y := Y
% 16.97/17.40 Z := T
% 16.97/17.40 T := Z
% 16.97/17.40 end
% 16.97/17.40
% 16.97/17.40 subsumption: (426) {G1,W10,D2,L2,V4,M2} R(15,13) { cyclic( X, Y, Z, T ), !
% 16.97/17.40 cyclic( Y, X, T, Z ) }.
% 16.97/17.40 parent0: (52548) {G1,W10,D2,L2,V4,M2} { cyclic( Y, X, Z, T ), ! cyclic( X
% 16.97/17.40 , Y, T, Z ) }.
% 16.97/17.40 substitution0:
% 16.97/17.40 X := Y
% 16.97/17.40 Y := X
% 16.97/17.40 Z := Z
% 16.97/17.40 T := T
% 16.97/17.40 end
% 16.97/17.40 permutation0:
% 16.97/17.40 0 ==> 0
% 16.97/17.40 1 ==> 1
% 16.97/17.40 end
% 16.97/17.40
% 16.97/17.40 resolution: (52552) {G1,W15,D2,L3,V5,M3} { cyclic( Y, X, Z, T ), ! cyclic
% 16.97/17.40 ( U, X, Y, Z ), ! cyclic( U, X, Y, T ) }.
% 16.97/17.40 parent0[0]: (15) {G0,W10,D2,L2,V4,M2} I { ! cyclic( X, Y, Z, T ), cyclic( Y
% 16.97/17.40 , X, Z, T ) }.
% 16.97/17.40 parent1[2]: (16) {G0,W15,D2,L3,V5,M3} I { ! cyclic( U, X, Y, Z ), ! cyclic
% 16.97/17.40 ( U, X, Y, T ), cyclic( X, Y, Z, T ) }.
% 16.97/17.40 substitution0:
% 16.97/17.40 X := X
% 16.97/17.40 Y := Y
% 16.97/17.40 Z := Z
% 16.97/17.40 T := T
% 16.97/17.40 end
% 16.97/17.40 substitution1:
% 16.97/17.40 X := X
% 16.97/17.40 Y := Y
% 16.97/17.40 Z := Z
% 16.97/17.40 T := T
% 16.97/17.40 U := U
% 16.97/17.40 end
% 16.97/17.40
% 16.97/17.40 subsumption: (447) {G1,W15,D2,L3,V5,M3} R(16,15) { ! cyclic( X, Y, Z, T ),
% 16.97/17.40 ! cyclic( X, Y, Z, U ), cyclic( Z, Y, T, U ) }.
% 16.97/17.40 parent0: (52552) {G1,W15,D2,L3,V5,M3} { cyclic( Y, X, Z, T ), ! cyclic( U
% 16.97/17.40 , X, Y, Z ), ! cyclic( U, X, Y, T ) }.
% 16.97/17.40 substitution0:
% 16.97/17.40 X := Y
% 16.97/17.40 Y := Z
% 16.97/17.40 Z := T
% 16.97/17.40 T := U
% 16.97/17.40 U := X
% 16.97/17.40 end
% 16.97/17.40 permutation0:
% 16.97/17.40 0 ==> 2
% 16.97/17.40 1 ==> 0
% 16.97/17.40 2 ==> 1
% 16.97/17.40 end
% 16.97/17.40
% 16.97/17.40 resolution: (52554) {G1,W10,D2,L2,V1,M2} { ! cyclic( X, skol20, skol22,
% 16.97/17.40 skol24 ), ! cyclic( X, skol20, skol22, skol23 ) }.
% 16.97/17.40 parent0[0]: (403) {G1,W5,D2,L1,V0,M1} R(13,129) { ! cyclic( skol20, skol22
% 16.97/17.40 , skol24, skol23 ) }.
% 16.97/17.40 parent1[2]: (16) {G0,W15,D2,L3,V5,M3} I { ! cyclic( U, X, Y, Z ), ! cyclic
% 16.97/17.40 ( U, X, Y, T ), cyclic( X, Y, Z, T ) }.
% 16.97/17.40 substitution0:
% 16.97/17.40 end
% 16.97/17.40 substitution1:
% 16.97/17.40 X := skol20
% 16.97/17.40 Y := skol22
% 16.97/17.40 Z := skol24
% 16.97/17.40 T := skol23
% 16.97/17.40 U := X
% 16.97/17.40 end
% 16.97/17.40
% 16.97/17.40 subsumption: (453) {G2,W10,D2,L2,V1,M2} R(16,403) { ! cyclic( X, skol20,
% 16.97/17.40 skol22, skol24 ), ! cyclic( X, skol20, skol22, skol23 ) }.
% 16.97/17.40 parent0: (52554) {G1,W10,D2,L2,V1,M2} { ! cyclic( X, skol20, skol22,
% 16.97/17.40 skol24 ), ! cyclic( X, skol20, skol22, skol23 ) }.
% 16.97/17.40 substitution0:
% 16.97/17.40 X := X
% 16.97/17.40 end
% 16.97/17.40 permutation0:
% 16.97/17.40 0 ==> 0
% 16.97/17.40 1 ==> 1
% 16.97/17.40 end
% 16.97/17.40
% 16.97/17.40 resolution: (52556) {G1,W15,D2,L3,V5,M3} { ! cyclic( X, Y, Z, T ), cyclic
% 16.97/17.40 ( Y, Z, T, U ), ! cyclic( X, Y, U, Z ) }.
% 16.97/17.40 parent0[1]: (16) {G0,W15,D2,L3,V5,M3} I { ! cyclic( U, X, Y, Z ), ! cyclic
% 16.97/17.40 ( U, X, Y, T ), cyclic( X, Y, Z, T ) }.
% 16.97/17.40 parent1[1]: (13) {G0,W10,D2,L2,V4,M2} I { ! cyclic( X, Y, Z, T ), cyclic( X
% 16.97/17.40 , Y, T, Z ) }.
% 16.97/17.40 substitution0:
% 16.97/17.40 X := Y
% 16.97/17.40 Y := Z
% 16.97/17.40 Z := T
% 16.97/17.40 T := U
% 16.97/17.40 U := X
% 16.97/17.40 end
% 16.97/17.40 substitution1:
% 16.97/17.40 X := X
% 16.97/17.40 Y := Y
% 16.97/17.40 Z := U
% 16.97/17.40 T := Z
% 16.97/17.40 end
% 16.97/17.40
% 16.97/17.40 subsumption: (455) {G1,W15,D2,L3,V5,M3} R(16,13) { ! cyclic( X, Y, Z, T ),
% 16.97/17.40 cyclic( Y, Z, T, U ), ! cyclic( X, Y, U, Z ) }.
% 16.97/17.40 parent0: (52556) {G1,W15,D2,L3,V5,M3} { ! cyclic( X, Y, Z, T ), cyclic( Y
% 16.97/17.40 , Z, T, U ), ! cyclic( X, Y, U, Z ) }.
% 16.97/17.40 substitution0:
% 16.97/17.40 X := X
% 16.97/17.40 Y := Y
% 16.97/17.40 Z := Z
% 16.97/17.40 T := T
% 16.97/17.40 U := U
% 16.97/17.40 end
% 16.97/17.40 permutation0:
% 16.97/17.40 0 ==> 0
% 16.97/17.40 1 ==> 1
% 16.97/17.40 2 ==> 2
% 16.97/17.40 end
% 16.97/17.40
% 16.97/17.40 factor: (52558) {G1,W10,D2,L2,V4,M2} { ! cyclic( X, Y, Z, T ), cyclic( Z,
% 16.97/17.40 Y, T, T ) }.
% 16.97/17.40 parent0[0, 1]: (447) {G1,W15,D2,L3,V5,M3} R(16,15) { ! cyclic( X, Y, Z, T )
% 16.97/17.40 , ! cyclic( X, Y, Z, U ), cyclic( Z, Y, T, U ) }.
% 16.97/17.40 substitution0:
% 16.97/17.40 X := X
% 16.97/17.40 Y := Y
% 16.97/17.40 Z := Z
% 16.97/17.40 T := T
% 16.97/17.40 U := T
% 16.97/17.40 end
% 16.97/17.40
% 16.97/17.40 subsumption: (459) {G2,W10,D2,L2,V4,M2} F(447) { ! cyclic( X, Y, Z, T ),
% 16.97/17.40 cyclic( Z, Y, T, T ) }.
% 16.97/17.40 parent0: (52558) {G1,W10,D2,L2,V4,M2} { ! cyclic( X, Y, Z, T ), cyclic( Z
% 16.97/17.40 , Y, T, T ) }.
% 16.97/17.40 substitution0:
% 16.97/17.40 X := X
% 16.97/17.40 Y := Y
% 16.97/17.40 Z := Z
% 16.97/17.40 T := T
% 16.97/17.40 end
% 16.97/17.40 permutation0:
% 16.97/17.40 0 ==> 0
% 16.97/17.40 1 ==> 1
% 16.97/17.40 end
% 16.97/17.40
% 16.97/17.40 resolution: (52559) {G3,W4,D2,L1,V0,M1} { coll( skol20, skol25, skol20 )
% 16.97/17.40 }.
% 16.97/17.40 parent0[0]: (215) {G2,W8,D2,L2,V3,M2} F(206) { ! coll( X, Y, Z ), coll( Z,
% 16.97/17.40 X, Z ) }.
% 16.97/17.40 parent1[0]: (173) {G2,W4,D2,L1,V0,M1} R(1,168) { coll( skol25, skol30,
% 16.97/17.40 skol20 ) }.
% 16.97/17.40 substitution0:
% 16.97/17.40 X := skol25
% 16.97/17.40 Y := skol30
% 16.97/17.40 Z := skol20
% 16.97/17.40 end
% 16.97/17.40 substitution1:
% 16.97/17.40 end
% 16.97/17.40
% 16.97/17.40 subsumption: (575) {G3,W4,D2,L1,V0,M1} R(215,173) { coll( skol20, skol25,
% 16.97/17.40 skol20 ) }.
% 16.97/17.40 parent0: (52559) {G3,W4,D2,L1,V0,M1} { coll( skol20, skol25, skol20 ) }.
% 16.97/17.40 substitution0:
% 16.97/17.40 end
% 16.97/17.40 permutation0:
% 16.97/17.40 0 ==> 0
% 16.97/17.40 end
% 16.97/17.40
% 16.97/17.40 resolution: (52560) {G1,W4,D2,L1,V0,M1} { coll( skol20, skol20, skol25 )
% 16.97/17.40 }.
% 16.97/17.40 parent0[0]: (0) {G0,W8,D2,L2,V3,M2} I { ! coll( X, Y, Z ), coll( X, Z, Y )
% 16.97/17.40 }.
% 16.97/17.40 parent1[0]: (575) {G3,W4,D2,L1,V0,M1} R(215,173) { coll( skol20, skol25,
% 16.97/17.40 skol20 ) }.
% 16.97/17.40 substitution0:
% 16.97/17.40 X := skol20
% 16.97/17.40 Y := skol25
% 16.97/17.40 Z := skol20
% 16.97/17.40 end
% 16.97/17.40 substitution1:
% 16.97/17.40 end
% 16.97/17.40
% 16.97/17.40 subsumption: (678) {G4,W4,D2,L1,V0,M1} R(575,0) { coll( skol20, skol20,
% 16.97/17.40 skol25 ) }.
% 16.97/17.40 parent0: (52560) {G1,W4,D2,L1,V0,M1} { coll( skol20, skol20, skol25 ) }.
% 16.97/17.40 substitution0:
% 16.97/17.40 end
% 16.97/17.40 permutation0:
% 16.97/17.40 0 ==> 0
% 16.97/17.40 end
% 16.97/17.40
% 16.97/17.40 resolution: (52561) {G1,W14,D2,L2,V6,M2} { eqangle( Z, T, X, Y, Z, T, U, W
% 16.97/17.40 ), ! para( X, Y, U, W ) }.
% 16.97/17.40 parent0[0]: (18) {G0,W18,D2,L2,V8,M2} I { ! eqangle( X, Y, Z, T, U, W, V0,
% 16.97/17.40 V1 ), eqangle( Z, T, X, Y, V0, V1, U, W ) }.
% 16.97/17.40 parent1[1]: (39) {G0,W14,D2,L2,V6,M2} I { ! para( X, Y, Z, T ), eqangle( X
% 16.97/17.40 , Y, U, W, Z, T, U, W ) }.
% 16.97/17.40 substitution0:
% 16.97/17.40 X := X
% 16.97/17.40 Y := Y
% 16.97/17.40 Z := Z
% 16.97/17.40 T := T
% 16.97/17.40 U := U
% 16.97/17.40 W := W
% 16.97/17.40 V0 := Z
% 16.97/17.40 V1 := T
% 16.97/17.40 end
% 16.97/17.40 substitution1:
% 16.97/17.40 X := X
% 16.97/17.40 Y := Y
% 16.97/17.40 Z := U
% 16.97/17.40 T := W
% 16.97/17.40 U := Z
% 16.97/17.40 W := T
% 16.97/17.40 end
% 16.97/17.40
% 16.97/17.40 subsumption: (798) {G1,W14,D2,L2,V6,M2} R(39,18) { ! para( X, Y, Z, T ),
% 16.97/17.40 eqangle( U, W, X, Y, U, W, Z, T ) }.
% 16.97/17.40 parent0: (52561) {G1,W14,D2,L2,V6,M2} { eqangle( Z, T, X, Y, Z, T, U, W )
% 16.97/17.40 , ! para( X, Y, U, W ) }.
% 16.97/17.40 substitution0:
% 16.97/17.40 X := X
% 16.97/17.40 Y := Y
% 16.97/17.40 Z := U
% 16.97/17.40 T := W
% 16.97/17.40 U := Z
% 16.97/17.40 W := T
% 16.97/17.40 end
% 16.97/17.40 permutation0:
% 16.97/17.40 0 ==> 1
% 16.97/17.40 1 ==> 0
% 16.97/17.40 end
% 16.97/17.40
% 16.97/17.40 resolution: (52562) {G1,W14,D2,L2,V1,M2} { ! eqangle( skol20, X, skol20,
% 16.97/17.40 skol25, skol20, X, skol20, skol25 ), cyclic( X, skol25, skol20, skol20 )
% 16.97/17.40 }.
% 16.97/17.40 parent0[1]: (42) {G0,W18,D2,L3,V4,M3} I { ! eqangle( Z, X, Z, Y, T, X, T, Y
% 16.97/17.40 ), ! coll( Z, T, Y ), cyclic( X, Y, Z, T ) }.
% 16.97/17.40 parent1[0]: (678) {G4,W4,D2,L1,V0,M1} R(575,0) { coll( skol20, skol20,
% 16.97/17.40 skol25 ) }.
% 16.97/17.40 substitution0:
% 16.97/17.40 X := X
% 16.97/17.40 Y := skol25
% 16.97/17.40 Z := skol20
% 16.97/17.40 T := skol20
% 16.97/17.40 end
% 16.97/17.40 substitution1:
% 16.97/17.40 end
% 16.97/17.40
% 16.97/17.40 subsumption: (919) {G5,W14,D2,L2,V1,M2} R(42,678) { ! eqangle( skol20, X,
% 16.97/17.40 skol20, skol25, skol20, X, skol20, skol25 ), cyclic( X, skol25, skol20,
% 16.97/17.40 skol20 ) }.
% 16.97/17.40 parent0: (52562) {G1,W14,D2,L2,V1,M2} { ! eqangle( skol20, X, skol20,
% 16.97/17.40 skol25, skol20, X, skol20, skol25 ), cyclic( X, skol25, skol20, skol20 )
% 16.97/17.40 }.
% 16.97/17.40 substitution0:
% 16.97/17.40 X := X
% 16.97/17.40 end
% 16.97/17.40 permutation0:
% 16.97/17.40 0 ==> 0
% 16.97/17.40 1 ==> 1
% 16.97/17.40 end
% 16.97/17.40
% 16.97/17.40 resolution: (52563) {G2,W5,D2,L1,V0,M1} { para( skol20, skol25, skol25,
% 16.97/17.40 skol20 ) }.
% 16.97/17.40 parent0[0]: (292) {G2,W10,D2,L2,V2,M2} R(8,257) { ! perp( X, Y, skol32,
% 16.97/17.40 skol23 ), para( X, Y, skol25, skol20 ) }.
% 16.97/17.40 parent1[0]: (267) {G1,W5,D2,L1,V0,M1} R(7,123) { perp( skol20, skol25,
% 16.97/17.40 skol32, skol23 ) }.
% 16.97/17.40 substitution0:
% 16.97/17.40 X := skol20
% 16.97/17.40 Y := skol25
% 16.97/17.40 end
% 16.97/17.40 substitution1:
% 16.97/17.40 end
% 16.97/17.40
% 16.97/17.40 subsumption: (18375) {G3,W5,D2,L1,V0,M1} R(292,267) { para( skol20, skol25
% 16.97/17.40 , skol25, skol20 ) }.
% 16.97/17.40 parent0: (52563) {G2,W5,D2,L1,V0,M1} { para( skol20, skol25, skol25,
% 16.97/17.40 skol20 ) }.
% 16.97/17.40 substitution0:
% 16.97/17.40 end
% 16.97/17.40 permutation0:
% 16.97/17.40 0 ==> 0
% 16.97/17.40 end
% 16.97/17.40
% 16.97/17.40 resolution: (52564) {G3,W5,D2,L1,V0,M1} { para( skol20, skol25, skol20,
% 16.97/17.40 skol25 ) }.
% 16.97/17.40 parent0[0]: (255) {G2,W10,D2,L2,V4,M2} F(251) { ! para( X, Y, Z, T ), para
% 16.97/17.40 ( X, Y, X, Y ) }.
% 16.97/17.40 parent1[0]: (18375) {G3,W5,D2,L1,V0,M1} R(292,267) { para( skol20, skol25,
% 16.97/17.40 skol25, skol20 ) }.
% 16.97/17.40 substitution0:
% 16.97/17.40 X := skol20
% 16.97/17.40 Y := skol25
% 16.97/17.40 Z := skol25
% 16.97/17.40 T := skol20
% 16.97/17.40 end
% 16.97/17.40 substitution1:
% 16.97/17.40 end
% 16.97/17.40
% 16.97/17.40 subsumption: (18437) {G4,W5,D2,L1,V0,M1} R(18375,255) { para( skol20,
% 16.97/17.40 skol25, skol20, skol25 ) }.
% 16.97/17.40 parent0: (52564) {G3,W5,D2,L1,V0,M1} { para( skol20, skol25, skol20,
% 16.97/17.40 skol25 ) }.
% 16.97/17.40 substitution0:
% 16.97/17.40 end
% 16.97/17.40 permutation0:
% 16.97/17.40 0 ==> 0
% 16.97/17.40 end
% 16.97/17.40
% 16.97/17.40 resolution: (52565) {G2,W9,D2,L1,V2,M1} { eqangle( X, Y, skol20, skol25, X
% 16.97/17.40 , Y, skol20, skol25 ) }.
% 16.97/17.40 parent0[0]: (798) {G1,W14,D2,L2,V6,M2} R(39,18) { ! para( X, Y, Z, T ),
% 16.97/17.40 eqangle( U, W, X, Y, U, W, Z, T ) }.
% 16.97/17.40 parent1[0]: (18437) {G4,W5,D2,L1,V0,M1} R(18375,255) { para( skol20, skol25
% 16.97/17.40 , skol20, skol25 ) }.
% 16.97/17.40 substitution0:
% 16.97/17.40 X := skol20
% 16.97/17.40 Y := skol25
% 16.97/17.40 Z := skol20
% 16.97/17.40 T := skol25
% 16.97/17.40 U := X
% 16.97/17.40 W := Y
% 16.97/17.40 end
% 16.97/17.40 substitution1:
% 16.97/17.40 end
% 16.97/17.40
% 16.97/17.40 subsumption: (47324) {G5,W9,D2,L1,V2,M1} R(798,18437) { eqangle( X, Y,
% 16.97/17.40 skol20, skol25, X, Y, skol20, skol25 ) }.
% 16.97/17.40 parent0: (52565) {G2,W9,D2,L1,V2,M1} { eqangle( X, Y, skol20, skol25, X, Y
% 16.97/17.40 , skol20, skol25 ) }.
% 16.97/17.40 substitution0:
% 16.97/17.40 X := X
% 16.97/17.40 Y := Y
% 16.97/17.40 end
% 16.97/17.40 permutation0:
% 16.97/17.40 0 ==> 0
% 16.97/17.40 end
% 16.97/17.40
% 16.97/17.40 resolution: (52566) {G6,W5,D2,L1,V1,M1} { cyclic( X, skol25, skol20,
% 16.97/17.40 skol20 ) }.
% 16.97/17.40 parent0[0]: (919) {G5,W14,D2,L2,V1,M2} R(42,678) { ! eqangle( skol20, X,
% 16.97/17.40 skol20, skol25, skol20, X, skol20, skol25 ), cyclic( X, skol25, skol20,
% 16.97/17.40 skol20 ) }.
% 16.97/17.40 parent1[0]: (47324) {G5,W9,D2,L1,V2,M1} R(798,18437) { eqangle( X, Y,
% 16.97/17.40 skol20, skol25, X, Y, skol20, skol25 ) }.
% 16.97/17.40 substitution0:
% 16.97/17.40 X := X
% 16.97/17.40 end
% 16.97/17.40 substitution1:
% 16.97/17.40 X := skol20
% 16.97/17.40 Y := X
% 16.97/17.40 end
% 16.97/17.40
% 16.97/17.40 subsumption: (52073) {G6,W5,D2,L1,V1,M1} S(919);r(47324) { cyclic( X,
% 16.97/17.40 skol25, skol20, skol20 ) }.
% 16.97/17.40 parent0: (52566) {G6,W5,D2,L1,V1,M1} { cyclic( X, skol25, skol20, skol20 )
% 16.97/17.40 }.
% 16.97/17.40 substitution0:
% 16.97/17.40 X := X
% 16.97/17.40 end
% 16.97/17.40 permutation0:
% 16.97/17.40 0 ==> 0
% 16.97/17.40 end
% 16.97/17.40
% 16.97/17.40 resolution: (52567) {G2,W5,D2,L1,V1,M1} { cyclic( skol25, X, skol20,
% 16.97/17.40 skol20 ) }.
% 16.97/17.40 parent0[1]: (426) {G1,W10,D2,L2,V4,M2} R(15,13) { cyclic( X, Y, Z, T ), !
% 16.97/17.40 cyclic( Y, X, T, Z ) }.
% 16.97/17.40 parent1[0]: (52073) {G6,W5,D2,L1,V1,M1} S(919);r(47324) { cyclic( X, skol25
% 16.97/17.40 , skol20, skol20 ) }.
% 16.97/17.40 substitution0:
% 16.97/17.40 X := skol25
% 16.97/17.40 Y := X
% 16.97/17.40 Z := skol20
% 16.97/17.40 T := skol20
% 16.97/17.40 end
% 16.97/17.40 substitution1:
% 16.97/17.40 X := X
% 16.97/17.40 end
% 16.97/17.40
% 16.97/17.40 subsumption: (52094) {G7,W5,D2,L1,V1,M1} R(52073,426) { cyclic( skol25, X,
% 16.97/17.40 skol20, skol20 ) }.
% 16.97/17.40 parent0: (52567) {G2,W5,D2,L1,V1,M1} { cyclic( skol25, X, skol20, skol20 )
% 16.97/17.40 }.
% 16.97/17.40 substitution0:
% 16.97/17.40 X := X
% 16.97/17.40 end
% 16.97/17.40 permutation0:
% 16.97/17.40 0 ==> 0
% 16.97/17.40 end
% 16.97/17.40
% 16.97/17.40 resolution: (52568) {G3,W5,D2,L1,V1,M1} { cyclic( skol20, X, skol20,
% 16.97/17.40 skol20 ) }.
% 16.97/17.40 parent0[0]: (459) {G2,W10,D2,L2,V4,M2} F(447) { ! cyclic( X, Y, Z, T ),
% 16.97/17.40 cyclic( Z, Y, T, T ) }.
% 16.97/17.40 parent1[0]: (52094) {G7,W5,D2,L1,V1,M1} R(52073,426) { cyclic( skol25, X,
% 16.97/17.40 skol20, skol20 ) }.
% 16.97/17.40 substitution0:
% 16.97/17.40 X := skol25
% 16.97/17.40 Y := X
% 16.97/17.40 Z := skol20
% 16.97/17.40 T := skol20
% 16.97/17.40 end
% 16.97/17.40 substitution1:
% 16.97/17.40 X := X
% 16.97/17.40 end
% 16.97/17.40
% 16.97/17.40 subsumption: (52106) {G8,W5,D2,L1,V1,M1} R(52094,459) { cyclic( skol20, X,
% 16.97/17.40 skol20, skol20 ) }.
% 16.97/17.40 parent0: (52568) {G3,W5,D2,L1,V1,M1} { cyclic( skol20, X, skol20, skol20 )
% 16.97/17.40 }.
% 16.97/17.40 substitution0:
% 16.97/17.40 X := X
% 16.97/17.40 end
% 16.97/17.40 permutation0:
% 16.97/17.40 0 ==> 0
% 16.97/17.40 end
% 16.97/17.40
% 16.97/17.40 resolution: (52569) {G2,W5,D2,L1,V1,M1} { cyclic( skol20, skol20, X,
% 16.97/17.40 skol20 ) }.
% 16.97/17.40 parent0[1]: (423) {G1,W10,D2,L2,V4,M2} R(15,14) { cyclic( X, Y, Z, T ), !
% 16.97/17.40 cyclic( Y, Z, X, T ) }.
% 16.97/17.40 parent1[0]: (52106) {G8,W5,D2,L1,V1,M1} R(52094,459) { cyclic( skol20, X,
% 16.97/17.40 skol20, skol20 ) }.
% 16.97/17.40 substitution0:
% 16.97/17.40 X := skol20
% 16.97/17.40 Y := skol20
% 16.97/17.40 Z := X
% 16.97/17.40 T := skol20
% 16.97/17.40 end
% 16.97/17.40 substitution1:
% 16.97/17.40 X := X
% 16.97/17.40 end
% 16.97/17.40
% 16.97/17.40 subsumption: (52128) {G9,W5,D2,L1,V1,M1} R(52106,423) { cyclic( skol20,
% 16.97/17.40 skol20, X, skol20 ) }.
% 16.97/17.40 parent0: (52569) {G2,W5,D2,L1,V1,M1} { cyclic( skol20, skol20, X, skol20 )
% 16.97/17.40 }.
% 16.97/17.40 substitution0:
% 16.97/17.40 X := X
% 16.97/17.40 end
% 16.97/17.40 permutation0:
% 16.97/17.40 0 ==> 0
% 16.97/17.40 end
% 16.97/17.40
% 16.97/17.40 resolution: (52570) {G2,W5,D2,L1,V1,M1} { cyclic( skol20, skol20, skol20,
% 16.97/17.40 X ) }.
% 16.97/17.40 parent0[0]: (415) {G1,W10,D2,L2,V4,M2} R(14,13) { ! cyclic( X, Y, Z, T ),
% 16.97/17.40 cyclic( X, Z, T, Y ) }.
% 16.97/17.40 parent1[0]: (52106) {G8,W5,D2,L1,V1,M1} R(52094,459) { cyclic( skol20, X,
% 16.97/17.40 skol20, skol20 ) }.
% 16.97/17.40 substitution0:
% 16.97/17.40 X := skol20
% 16.97/17.40 Y := X
% 16.97/17.40 Z := skol20
% 16.97/17.40 T := skol20
% 16.97/17.40 end
% 16.97/17.40 substitution1:
% 16.97/17.40 X := X
% 16.97/17.40 end
% 16.97/17.40
% 16.97/17.40 subsumption: (52129) {G9,W5,D2,L1,V1,M1} R(52106,415) { cyclic( skol20,
% 16.97/17.40 skol20, skol20, X ) }.
% 16.97/17.40 parent0: (52570) {G2,W5,D2,L1,V1,M1} { cyclic( skol20, skol20, skol20, X )
% 16.97/17.40 }.
% 16.97/17.40 substitution0:
% 16.97/17.40 X := X
% 16.97/17.40 end
% 16.97/17.40 permutation0:
% 16.97/17.40 0 ==> 0
% 16.97/17.40 end
% 16.97/17.40
% 16.97/17.40 resolution: (52572) {G2,W10,D2,L2,V2,M2} { ! cyclic( skol20, skol20,
% 16.97/17.40 skol20, X ), cyclic( skol20, skol20, X, Y ) }.
% 16.97/17.40 parent0[2]: (455) {G1,W15,D2,L3,V5,M3} R(16,13) { ! cyclic( X, Y, Z, T ),
% 16.97/17.40 cyclic( Y, Z, T, U ), ! cyclic( X, Y, U, Z ) }.
% 16.97/17.40 parent1[0]: (52128) {G9,W5,D2,L1,V1,M1} R(52106,423) { cyclic( skol20,
% 16.97/17.40 skol20, X, skol20 ) }.
% 16.97/17.40 substitution0:
% 16.97/17.40 X := skol20
% 16.97/17.40 Y := skol20
% 16.97/17.40 Z := skol20
% 16.97/17.40 T := X
% 16.97/17.40 U := Y
% 16.97/17.40 end
% 16.97/17.40 substitution1:
% 16.97/17.40 X := Y
% 16.97/17.40 end
% 16.97/17.40
% 16.97/17.40 resolution: (52573) {G3,W5,D2,L1,V2,M1} { cyclic( skol20, skol20, X, Y )
% 16.97/17.40 }.
% 16.97/17.40 parent0[0]: (52572) {G2,W10,D2,L2,V2,M2} { ! cyclic( skol20, skol20,
% 16.97/17.40 skol20, X ), cyclic( skol20, skol20, X, Y ) }.
% 16.97/17.40 parent1[0]: (52129) {G9,W5,D2,L1,V1,M1} R(52106,415) { cyclic( skol20,
% 16.97/17.40 skol20, skol20, X ) }.
% 16.97/17.40 substitution0:
% 16.97/17.40 X := X
% 16.97/17.40 Y := Y
% 16.97/17.40 end
% 16.97/17.40 substitution1:
% 16.97/17.40 X := X
% 16.97/17.40 end
% 16.97/17.40
% 16.97/17.40 subsumption: (52134) {G10,W5,D2,L1,V2,M1} R(52128,455);r(52129) { cyclic(
% 16.97/17.40 skol20, skol20, X, Y ) }.
% 16.97/17.40 parent0: (52573) {G3,W5,D2,L1,V2,M1} { cyclic( skol20, skol20, X, Y ) }.
% 16.97/17.40 substitution0:
% 16.97/17.40 X := X
% 16.97/17.40 Y := Y
% 16.97/17.40 end
% 16.97/17.40 permutation0:
% 16.97/17.40 0 ==> 0
% 16.97/17.40 end
% 16.97/17.40
% 16.97/17.40 resolution: (52574) {G2,W10,D2,L2,V3,M2} { cyclic( skol20, X, Y, Z ), !
% 16.97/17.40 cyclic( skol20, skol20, Z, X ) }.
% 16.97/17.40 parent0[0]: (455) {G1,W15,D2,L3,V5,M3} R(16,13) { ! cyclic( X, Y, Z, T ),
% 16.97/17.40 cyclic( Y, Z, T, U ), ! cyclic( X, Y, U, Z ) }.
% 16.97/17.40 parent1[0]: (52134) {G10,W5,D2,L1,V2,M1} R(52128,455);r(52129) { cyclic(
% 16.97/17.40 skol20, skol20, X, Y ) }.
% 16.97/17.40 substitution0:
% 16.97/17.40 X := skol20
% 16.97/17.40 Y := skol20
% 16.97/17.40 Z := X
% 16.97/17.40 T := Y
% 16.97/17.40 U := Z
% 16.97/17.40 end
% 16.97/17.40 substitution1:
% 16.97/17.40 X := X
% 16.97/17.40 Y := Y
% 16.97/17.40 end
% 16.97/17.40
% 16.97/17.40 resolution: (52576) {G3,W5,D2,L1,V3,M1} { cyclic( skol20, X, Y, Z ) }.
% 16.97/17.40 parent0[1]: (52574) {G2,W10,D2,L2,V3,M2} { cyclic( skol20, X, Y, Z ), !
% 16.97/17.40 cyclic( skol20, skol20, Z, X ) }.
% 16.97/17.40 parent1[0]: (52134) {G10,W5,D2,L1,V2,M1} R(52128,455);r(52129) { cyclic(
% 16.97/17.40 skol20, skol20, X, Y ) }.
% 16.97/17.40 substitution0:
% 16.97/17.40 X := X
% 16.97/17.40 Y := Y
% 16.97/17.40 Z := Z
% 16.97/17.40 end
% 16.97/17.40 substitution1:
% 16.97/17.40 X := Z
% 16.97/17.40 Y := X
% 16.97/17.40 end
% 16.97/17.40
% 16.97/17.40 subsumption: (52156) {G11,W5,D2,L1,V3,M1} R(52134,455);r(52134) { cyclic(
% 16.97/17.40 skol20, X, Y, Z ) }.
% 16.97/17.40 parent0: (52576) {G3,W5,D2,L1,V3,M1} { cyclic( skol20, X, Y, Z ) }.
% 16.97/17.40 substitution0:
% 16.97/17.40 X := X
% 16.97/17.40 Y := Y
% 16.97/17.40 Z := Z
% 16.97/17.40 end
% 16.97/17.40 permutation0:
% 16.97/17.40 0 ==> 0
% 16.97/17.40 end
% 16.97/17.40
% 16.97/17.40 resolution: (52577) {G3,W5,D2,L1,V0,M1} { ! cyclic( skol20, skol20, skol22
% 16.97/17.40 , skol23 ) }.
% 16.97/17.40 parent0[0]: (453) {G2,W10,D2,L2,V1,M2} R(16,403) { ! cyclic( X, skol20,
% 16.97/17.40 skol22, skol24 ), ! cyclic( X, skol20, skol22, skol23 ) }.
% 16.97/17.40 parent1[0]: (52134) {G10,W5,D2,L1,V2,M1} R(52128,455);r(52129) { cyclic(
% 16.97/17.40 skol20, skol20, X, Y ) }.
% 16.97/17.40 substitution0:
% 16.97/17.40 X := skol20
% 16.97/17.40 end
% 16.97/17.40 substitution1:
% 16.97/17.40 X := skol22
% 16.97/17.40 Y := skol24
% 16.97/17.40 end
% 16.97/17.40
% 16.97/17.40 resolution: (52579) {G4,W0,D0,L0,V0,M0} { }.
% 16.97/17.40 parent0[0]: (52577) {G3,W5,D2,L1,V0,M1} { ! cyclic( skol20, skol20, skol22
% 16.97/17.40 , skol23 ) }.
% 16.97/17.40 parent1[0]: (52156) {G11,W5,D2,L1,V3,M1} R(52134,455);r(52134) { cyclic(
% 16.97/17.40 skol20, X, Y, Z ) }.
% 16.97/17.40 substitution0:
% 16.97/17.40 end
% 16.97/17.40 substitution1:
% 16.97/17.40 X := skol20
% 16.97/17.40 Y := skol22
% 16.97/17.40 Z := skol23
% 16.97/17.40 end
% 16.97/17.40
% 16.97/17.40 subsumption: (52157) {G12,W0,D0,L0,V0,M0} R(52134,453);r(52156) { }.
% 16.97/17.40 parent0: (52579) {G4,W0,D0,L0,V0,M0} { }.
% 16.97/17.40 substitution0:
% 16.97/17.40 end
% 16.97/17.40 permutation0:
% 16.97/17.40 end
% 16.97/17.40
% 16.97/17.40 Proof check complete!
% 16.97/17.40
% 16.97/17.40 Memory use:
% 16.97/17.40
% 16.97/17.40 space for terms: 725573
% 16.97/17.40 space for clauses: 2394019
% 16.97/17.40
% 16.97/17.40
% 16.97/17.40 clauses generated: 443147
% 16.97/17.40 clauses kept: 52158
% 16.97/17.40 clauses selected: 3347
% 16.97/17.40 clauses deleted: 1909
% 16.97/17.40 clauses inuse deleted: 101
% 16.97/17.40
% 16.97/17.40 subsentry: 12937444
% 16.97/17.40 literals s-matched: 7469470
% 16.97/17.40 literals matched: 3960646
% 16.97/17.40 full subsumption: 1310650
% 16.97/17.40
% 16.97/17.40 checksum: 751702211
% 16.97/17.40
% 16.97/17.40
% 16.97/17.40 Bliksem ended
%------------------------------------------------------------------------------