TSTP Solution File: GEO580+1 by Bliksem---1.12
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : GEO580+1 : TPTP v8.1.0. Released v7.5.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n016.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 0s
% DateTime : Sat Jul 16 02:54:51 EDT 2022
% Result : Theorem 3.71s 4.10s
% Output : Refutation 3.71s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.14 % Problem : GEO580+1 : TPTP v8.1.0. Released v7.5.0.
% 0.08/0.14 % Command : bliksem %s
% 0.14/0.36 % Computer : n016.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 19:33:06 EDT 2022
% 0.14/0.36 % CPUTime :
% 0.81/1.18 *** allocated 10000 integers for termspace/termends
% 0.81/1.18 *** allocated 10000 integers for clauses
% 0.81/1.18 *** allocated 10000 integers for justifications
% 0.81/1.18 Bliksem 1.12
% 0.81/1.18
% 0.81/1.18
% 0.81/1.18 Automatic Strategy Selection
% 0.81/1.18
% 0.81/1.18 *** allocated 15000 integers for termspace/termends
% 0.81/1.18
% 0.81/1.18 Clauses:
% 0.81/1.18
% 0.81/1.18 { ! coll( X, Y, Z ), coll( X, Z, Y ) }.
% 0.81/1.18 { ! coll( X, Y, Z ), coll( Y, X, Z ) }.
% 0.81/1.18 { ! coll( X, T, Y ), ! coll( X, T, Z ), coll( Y, Z, X ) }.
% 0.81/1.18 { ! para( X, Y, Z, T ), para( X, Y, T, Z ) }.
% 0.81/1.18 { ! para( X, Y, Z, T ), para( Z, T, X, Y ) }.
% 0.81/1.18 { ! para( X, Y, U, W ), ! para( U, W, Z, T ), para( X, Y, Z, T ) }.
% 0.81/1.18 { ! perp( X, Y, Z, T ), perp( X, Y, T, Z ) }.
% 0.81/1.18 { ! perp( X, Y, Z, T ), perp( Z, T, X, Y ) }.
% 0.81/1.18 { ! perp( X, Y, U, W ), ! perp( U, W, Z, T ), para( X, Y, Z, T ) }.
% 0.81/1.18 { ! para( X, Y, U, W ), ! perp( U, W, Z, T ), perp( X, Y, Z, T ) }.
% 0.81/1.18 { ! midp( Z, Y, X ), midp( Z, X, Y ) }.
% 0.81/1.18 { ! cong( T, X, T, Y ), ! cong( T, X, T, Z ), circle( T, X, Y, Z ) }.
% 0.81/1.18 { ! cong( U, X, U, Y ), ! cong( U, X, U, Z ), ! cong( U, X, U, T ), cyclic
% 0.81/1.18 ( X, Y, Z, T ) }.
% 0.81/1.18 { ! cyclic( X, Y, Z, T ), cyclic( X, Y, T, Z ) }.
% 0.81/1.18 { ! cyclic( X, Y, Z, T ), cyclic( X, Z, Y, T ) }.
% 0.81/1.18 { ! cyclic( X, Y, Z, T ), cyclic( Y, X, Z, T ) }.
% 0.81/1.18 { ! cyclic( U, X, Y, Z ), ! cyclic( U, X, Y, T ), cyclic( X, Y, Z, T ) }.
% 0.81/1.18 { ! eqangle( X, Y, Z, T, U, W, V0, V1 ), eqangle( Y, X, Z, T, U, W, V0, V1
% 0.81/1.18 ) }.
% 0.81/1.18 { ! eqangle( X, Y, Z, T, U, W, V0, V1 ), eqangle( Z, T, X, Y, V0, V1, U, W
% 0.81/1.18 ) }.
% 0.81/1.18 { ! eqangle( X, Y, Z, T, U, W, V0, V1 ), eqangle( U, W, V0, V1, X, Y, Z, T
% 0.81/1.18 ) }.
% 0.81/1.18 { ! eqangle( X, Y, Z, T, U, W, V0, V1 ), eqangle( X, Y, U, W, Z, T, V0, V1
% 0.81/1.18 ) }.
% 0.81/1.18 { ! eqangle( X, Y, Z, T, V2, V3, V4, V5 ), ! eqangle( V2, V3, V4, V5, U, W
% 0.81/1.18 , V0, V1 ), eqangle( X, Y, Z, T, U, W, V0, V1 ) }.
% 0.81/1.18 { ! cong( X, Y, Z, T ), cong( X, Y, T, Z ) }.
% 0.81/1.18 { ! cong( X, Y, Z, T ), cong( Z, T, X, Y ) }.
% 0.81/1.18 { ! cong( X, Y, U, W ), ! cong( U, W, Z, T ), cong( X, Y, Z, T ) }.
% 0.81/1.18 { ! eqratio( X, Y, Z, T, U, W, V0, V1 ), eqratio( Y, X, Z, T, U, W, V0, V1
% 0.81/1.18 ) }.
% 0.81/1.18 { ! eqratio( X, Y, Z, T, U, W, V0, V1 ), eqratio( Z, T, X, Y, V0, V1, U, W
% 0.81/1.18 ) }.
% 0.81/1.18 { ! eqratio( X, Y, Z, T, U, W, V0, V1 ), eqratio( U, W, V0, V1, X, Y, Z, T
% 0.81/1.18 ) }.
% 0.81/1.18 { ! eqratio( X, Y, Z, T, U, W, V0, V1 ), eqratio( X, Y, U, W, Z, T, V0, V1
% 0.81/1.18 ) }.
% 0.81/1.18 { ! eqratio( X, Y, Z, T, V2, V3, V4, V5 ), ! eqratio( V2, V3, V4, V5, U, W
% 0.81/1.18 , V0, V1 ), eqratio( X, Y, Z, T, U, W, V0, V1 ) }.
% 0.81/1.18 { ! simtri( X, Z, Y, T, W, U ), simtri( X, Y, Z, T, U, W ) }.
% 0.81/1.18 { ! simtri( Y, X, Z, U, T, W ), simtri( X, Y, Z, T, U, W ) }.
% 0.81/1.18 { ! simtri( T, U, W, X, Y, Z ), simtri( X, Y, Z, T, U, W ) }.
% 0.81/1.18 { ! simtri( X, Y, Z, V0, V1, V2 ), ! simtri( V0, V1, V2, T, U, W ), simtri
% 0.81/1.18 ( X, Y, Z, T, U, W ) }.
% 0.81/1.18 { ! contri( X, Z, Y, T, W, U ), contri( X, Y, Z, T, U, W ) }.
% 0.81/1.18 { ! contri( Y, X, Z, U, T, W ), contri( X, Y, Z, T, U, W ) }.
% 0.81/1.18 { ! contri( T, U, W, X, Y, Z ), contri( X, Y, Z, T, U, W ) }.
% 0.81/1.18 { ! contri( X, Y, Z, V0, V1, V2 ), ! contri( V0, V1, V2, T, U, W ), contri
% 0.81/1.18 ( X, Y, Z, T, U, W ) }.
% 0.81/1.18 { ! eqangle( X, Y, U, W, Z, T, U, W ), para( X, Y, Z, T ) }.
% 0.81/1.18 { ! para( X, Y, Z, T ), eqangle( X, Y, U, W, Z, T, U, W ) }.
% 0.81/1.18 { ! cyclic( X, Y, Z, T ), eqangle( Z, X, Z, Y, T, X, T, Y ) }.
% 0.81/1.18 { ! eqangle( Z, X, Z, Y, T, X, T, Y ), coll( Z, T, X ), cyclic( X, Y, Z, T
% 0.81/1.18 ) }.
% 0.81/1.18 { ! eqangle( Z, X, Z, Y, T, X, T, Y ), ! coll( Z, T, Y ), cyclic( X, Y, Z,
% 0.81/1.18 T ) }.
% 0.81/1.18 { ! cyclic( X, Y, U, Z ), ! cyclic( X, Y, U, T ), ! cyclic( X, Y, U, W ), !
% 0.81/1.18 eqangle( U, X, U, Y, W, Z, W, T ), cong( X, Y, Z, T ) }.
% 0.81/1.18 { ! midp( Z, U, X ), ! midp( T, U, Y ), para( Z, T, X, Y ) }.
% 0.81/1.18 { ! midp( U, X, T ), ! para( U, Z, T, Y ), ! coll( Z, X, Y ), midp( Z, X, Y
% 0.81/1.18 ) }.
% 0.81/1.18 { ! cong( Z, X, Z, Y ), eqangle( Z, X, X, Y, X, Y, Z, Y ) }.
% 0.81/1.18 { ! eqangle( Z, X, X, Y, X, Y, Z, Y ), coll( Z, X, Y ), cong( Z, X, Z, Y )
% 0.81/1.18 }.
% 0.81/1.18 { ! circle( U, X, Y, Z ), ! perp( U, X, X, T ), eqangle( X, T, X, Y, Z, X,
% 0.81/1.18 Z, Y ) }.
% 0.81/1.18 { ! circle( Y, X, T, U ), ! eqangle( X, Z, X, T, U, X, U, T ), perp( Y, X,
% 0.81/1.18 X, Z ) }.
% 0.81/1.18 { ! circle( T, X, Y, Z ), ! midp( U, Y, Z ), eqangle( X, Y, X, Z, T, Y, T,
% 0.81/1.18 U ) }.
% 0.81/1.18 { ! circle( U, T, X, Y ), ! coll( Z, X, Y ), ! eqangle( T, X, T, Y, U, X, U
% 0.81/1.18 , Z ), midp( Z, X, Y ) }.
% 0.81/1.18 { ! perp( X, Y, Y, T ), ! midp( Z, X, T ), cong( X, Z, Y, Z ) }.
% 0.81/1.18 { ! circle( T, X, Y, Z ), ! coll( T, X, Z ), perp( X, Y, Y, Z ) }.
% 0.81/1.18 { ! cyclic( X, Y, Z, T ), ! para( X, Y, Z, T ), eqangle( X, T, Z, T, Z, T,
% 0.81/1.18 Z, Y ) }.
% 0.81/1.18 { ! midp( T, X, Y ), ! perp( Z, T, X, Y ), cong( Z, X, Z, Y ) }.
% 0.81/1.18 { ! cong( X, Z, Y, Z ), ! cong( X, T, Y, T ), perp( X, Y, Z, T ) }.
% 0.81/1.18 { ! cong( X, Y, T, Y ), ! cong( X, Z, T, Z ), ! cyclic( X, T, Y, Z ), perp
% 0.81/1.18 ( Y, X, X, Z ) }.
% 0.81/1.18 { ! eqangle( X, Y, Y, Z, T, U, U, W ), ! eqangle( X, Z, Y, Z, T, W, U, W )
% 0.81/1.18 , coll( X, Y, Z ), simtri( X, Y, Z, T, U, W ) }.
% 0.81/1.18 { ! simtri( X, Y, Z, T, U, W ), eqratio( X, Y, X, Z, T, U, T, W ) }.
% 0.81/1.18 { ! simtri( X, Y, Z, T, U, W ), eqangle( X, Y, Y, Z, T, U, U, W ) }.
% 0.81/1.18 { ! simtri( X, Y, Z, T, U, W ), ! cong( X, Y, T, U ), contri( X, Y, Z, T, U
% 0.81/1.18 , W ) }.
% 0.81/1.18 { ! contri( X, Y, U, Z, T, W ), cong( X, Y, Z, T ) }.
% 0.81/1.18 { ! midp( U, X, Y ), ! midp( U, Z, T ), para( X, Z, Y, T ) }.
% 0.81/1.18 { ! midp( Z, T, U ), ! para( T, X, U, Y ), ! para( T, Y, U, X ), midp( Z, X
% 0.81/1.18 , Y ) }.
% 0.81/1.18 { ! para( X, Y, Z, T ), ! coll( U, X, Z ), ! coll( U, Y, T ), eqratio( U, X
% 0.81/1.18 , X, Z, U, Y, Y, T ) }.
% 0.81/1.18 { ! para( X, Y, X, Z ), coll( X, Y, Z ) }.
% 0.81/1.18 { ! cong( X, Y, X, Z ), ! coll( X, Y, Z ), midp( X, Y, Z ) }.
% 0.81/1.18 { ! midp( X, Y, Z ), cong( X, Y, X, Z ) }.
% 0.81/1.18 { ! midp( X, Y, Z ), coll( X, Y, Z ) }.
% 0.81/1.18 { ! midp( U, X, Y ), ! midp( W, Z, T ), eqratio( U, X, X, Y, W, Z, Z, T ) }
% 0.81/1.18 .
% 0.81/1.18 { ! eqangle( X, Y, Z, T, Z, T, X, Y ), para( X, Y, Z, T ), perp( X, Y, Z, T
% 0.81/1.18 ) }.
% 0.81/1.18 { ! eqangle( X, Y, Z, T, Z, T, X, Y ), perp( X, Y, Z, T ), para( X, Y, Z, T
% 0.81/1.18 ) }.
% 0.81/1.18 { ! eqangle( X, Y, Z, T, U, W, V0, V1 ), ! para( U, W, V0, V1 ), para( X, Y
% 0.81/1.18 , Z, T ) }.
% 0.81/1.18 { ! eqangle( X, Y, Z, T, U, W, V0, V1 ), ! perp( U, W, V0, V1 ), perp( X, Y
% 0.81/1.18 , Z, T ) }.
% 0.81/1.18 { ! eqratio( X, Y, Z, T, U, W, V0, V1 ), ! cong( U, W, V0, V1 ), cong( X, Y
% 0.81/1.18 , Z, T ) }.
% 0.81/1.18 { ! perp( Z, Y, Y, X ), ! eqangle( T, Z, Y, Z, Y, Z, X, Z ), coll( skol1( U
% 0.81/1.18 , W, Z, T ), Z, T ) }.
% 0.81/1.18 { ! perp( Z, Y, Y, X ), ! eqangle( T, Z, Y, Z, Y, Z, X, Z ), coll( skol1( X
% 0.81/1.18 , Y, Z, T ), X, Y ) }.
% 0.81/1.18 { ! cong( Z, X, Z, Y ), ! eqangle( X, Z, Z, T, Z, T, Z, Y ), coll( skol2( U
% 0.81/1.18 , W, Z, T ), Z, T ) }.
% 0.81/1.18 { ! cong( Z, X, Z, Y ), ! eqangle( X, Z, Z, T, Z, T, Z, Y ), coll( Y, X,
% 0.81/1.18 skol2( X, Y, Z, T ) ) }.
% 0.81/1.18 { ! perp( Z, T, X, Y ), ! eqangle( X, Z, Z, T, Z, T, Z, Y ), coll( skol3( U
% 0.81/1.18 , W, Z, T ), Z, T ) }.
% 0.81/1.18 { ! perp( Z, T, X, Y ), ! eqangle( X, Z, Z, T, Z, T, Z, Y ), coll( Y, X,
% 0.81/1.18 skol3( X, Y, Z, T ) ) }.
% 0.81/1.18 { ! perp( Z, T, X, Y ), ! cong( Z, X, Z, Y ), coll( skol4( U, W, Z, T ), Z
% 0.81/1.18 , T ) }.
% 0.81/1.18 { ! perp( Z, T, X, Y ), ! cong( Z, X, Z, Y ), coll( Y, X, skol4( X, Y, Z, T
% 0.81/1.18 ) ) }.
% 0.81/1.18 { ! eqangle( X, Z, Y, Z, X, T, Y, U ), coll( X, Y, Z ), cyclic( T, Y, Z,
% 0.81/1.18 skol5( W, Y, Z, T ) ) }.
% 0.81/1.18 { ! eqangle( X, Z, Y, Z, X, T, Y, U ), coll( X, Y, Z ), eqangle( X, Z, Y, Z
% 0.81/1.18 , X, skol5( X, Y, Z, T ), Y, skol5( X, Y, Z, T ) ) }.
% 0.81/1.18 { ! midp( U, X, Y ), ! midp( W, Z, T ), midp( skol6( X, V0, V1, T, V2, V3 )
% 0.81/1.18 , X, T ) }.
% 0.81/1.18 { ! midp( U, X, Y ), ! midp( W, Z, T ), para( skol6( X, V0, Z, T, V1, W ),
% 0.81/1.18 W, X, Z ) }.
% 0.81/1.18 { ! midp( U, X, Y ), ! midp( W, Z, T ), para( skol6( X, Y, Z, T, U, W ), U
% 0.81/1.18 , Y, T ) }.
% 0.81/1.18 { ! midp( Z, X, Y ), ! midp( W, T, U ), ! coll( T, X, Y ), ! coll( U, X, Y
% 0.81/1.18 ), midp( skol7( X, V0 ), X, V0 ) }.
% 0.81/1.18 { ! midp( T, X, U ), ! para( X, W, Z, T ), ! para( X, W, U, Y ), ! coll( W
% 0.81/1.18 , Y, Z ), coll( skol8( V0, V1, Z, T ), T, Z ) }.
% 0.81/1.18 { ! midp( T, X, U ), ! para( X, W, Z, T ), ! para( X, W, U, Y ), ! coll( W
% 0.81/1.18 , Y, Z ), coll( skol8( X, Y, Z, T ), X, Y ) }.
% 0.81/1.18 { ! cong( T, Z, T, U ), ! perp( X, Y, Y, T ), cong( T, Z, T, skol9( W, V0,
% 0.81/1.18 Z, T ) ) }.
% 0.81/1.18 { ! cong( T, Z, T, U ), ! perp( X, Y, Y, T ), cong( Y, Z, Y, skol9( W, Y, Z
% 0.81/1.18 , T ) ) }.
% 0.81/1.18 { ! cong( T, Z, T, U ), ! perp( X, Y, Y, T ), para( skol9( X, Y, Z, T ), Z
% 0.81/1.18 , X, Y ) }.
% 0.81/1.18 { ! perp( X, T, Y, Z ), ! perp( Y, T, X, Z ), coll( skol10( U, Y, Z ), Z, Y
% 0.81/1.18 ) }.
% 0.81/1.18 { ! perp( X, T, Y, Z ), ! perp( Y, T, X, Z ), perp( X, skol10( X, Y, Z ), Z
% 0.81/1.18 , Y ) }.
% 0.81/1.18 { ! perp( X, T, Y, Z ), ! perp( Y, T, X, Z ), alpha1( X, Y, Z ) }.
% 0.81/1.18 { ! alpha1( X, Y, Z ), coll( skol11( X, T, Z ), Z, X ) }.
% 0.81/1.18 { ! alpha1( X, Y, Z ), perp( Y, skol11( X, Y, Z ), Z, X ) }.
% 0.81/1.18 { ! coll( T, Z, X ), ! perp( Y, T, Z, X ), alpha1( X, Y, Z ) }.
% 0.81/1.18 { ! circle( Y, X, Z, T ), perp( skol12( X, Y ), X, X, Y ) }.
% 3.71/4.10 { ! circle( W, X, Y, Z ), ! cong( W, X, W, T ), ! cong( U, X, U, Y ), W = U
% 3.71/4.10 , alpha2( X, Z, U, skol13( X, V0, Z, V1, U ) ) }.
% 3.71/4.10 { ! circle( W, X, Y, Z ), ! cong( W, X, W, T ), ! cong( U, X, U, Y ), W = U
% 3.71/4.10 , coll( skol21( V0, Y, T, V1 ), Y, T ) }.
% 3.71/4.10 { ! circle( W, X, Y, Z ), ! cong( W, X, W, T ), ! cong( U, X, U, Y ), W = U
% 3.71/4.10 , cong( skol21( X, Y, T, U ), U, U, X ) }.
% 3.71/4.10 { ! alpha2( X, Y, Z, T ), coll( T, X, Y ) }.
% 3.71/4.10 { ! alpha2( X, Y, Z, T ), cong( T, Z, Z, X ) }.
% 3.71/4.10 { ! coll( T, X, Y ), ! cong( T, Z, Z, X ), alpha2( X, Y, Z, T ) }.
% 3.71/4.10 { ! cyclic( X, Y, Z, T ), ! para( X, Y, Z, T ), ! midp( U, X, Y ), circle(
% 3.71/4.10 skol14( X, Y, Z ), X, Y, Z ) }.
% 3.71/4.10 { ! perp( X, Z, Z, Y ), ! cyclic( X, Y, Z, T ), circle( skol15( X, Y, Z ),
% 3.71/4.10 X, Y, Z ) }.
% 3.71/4.10 { ! perp( X, U, U, T ), ! coll( T, Y, Z ), coll( skol16( W, Y, Z ), Y, Z )
% 3.71/4.10 }.
% 3.71/4.10 { ! perp( X, U, U, T ), ! coll( T, Y, Z ), perp( skol16( X, Y, Z ), X, Y, Z
% 3.71/4.10 ) }.
% 3.71/4.10 { ! perp( X, Z, X, Y ), ! perp( Y, X, Y, T ), ! midp( U, Z, T ), midp(
% 3.71/4.10 skol17( X, Y ), X, Y ) }.
% 3.71/4.10 { ! cong( Y, X, Y, Z ), ! perp( X, Y, Y, Z ), coll( X, Y, skol18( X, Y ) )
% 3.71/4.10 }.
% 3.71/4.10 { ! cong( Y, X, Y, Z ), ! perp( X, Y, Y, Z ), cong( Y, X, Y, skol18( X, Y )
% 3.71/4.10 ) }.
% 3.71/4.10 { ! para( U, W, X, Y ), ! coll( Z, U, X ), ! coll( Z, W, Y ), ! coll( T, U
% 3.71/4.10 , W ), coll( Z, T, skol19( V0, V1, Z, T ) ) }.
% 3.71/4.10 { ! para( U, W, X, Y ), ! coll( Z, U, X ), ! coll( Z, W, Y ), ! coll( T, U
% 3.71/4.10 , W ), coll( skol19( X, Y, Z, T ), X, Y ) }.
% 3.71/4.10 { eqangle( skol28, skol25, skol25, skol26, skol28, skol25, skol25, skol27 )
% 3.71/4.10 }.
% 3.71/4.10 { eqangle( skol28, skol26, skol26, skol27, skol28, skol26, skol26, skol25 )
% 3.71/4.10 }.
% 3.71/4.10 { eqangle( skol28, skol27, skol27, skol25, skol28, skol27, skol27, skol26 )
% 3.71/4.10 }.
% 3.71/4.10 { perp( skol20, skol25, skol26, skol27 ) }.
% 3.71/4.10 { coll( skol20, skol26, skol27 ) }.
% 3.71/4.10 { perp( skol22, skol26, skol25, skol28 ) }.
% 3.71/4.10 { coll( skol22, skol25, skol28 ) }.
% 3.71/4.10 { perp( skol23, skol27, skol25, skol28 ) }.
% 3.71/4.10 { coll( skol23, skol25, skol28 ) }.
% 3.71/4.10 { midp( skol24, skol27, skol26 ) }.
% 3.71/4.10 { ! cyclic( skol20, skol22, skol23, skol24 ) }.
% 3.71/4.10
% 3.71/4.10 percentage equality = 0.008696, percentage horn = 0.929134
% 3.71/4.10 This is a problem with some equality
% 3.71/4.10
% 3.71/4.10
% 3.71/4.10
% 3.71/4.10 Options Used:
% 3.71/4.10
% 3.71/4.10 useres = 1
% 3.71/4.10 useparamod = 1
% 3.71/4.10 useeqrefl = 1
% 3.71/4.10 useeqfact = 1
% 3.71/4.10 usefactor = 1
% 3.71/4.10 usesimpsplitting = 0
% 3.71/4.10 usesimpdemod = 5
% 3.71/4.10 usesimpres = 3
% 3.71/4.10
% 3.71/4.10 resimpinuse = 1000
% 3.71/4.10 resimpclauses = 20000
% 3.71/4.10 substype = eqrewr
% 3.71/4.10 backwardsubs = 1
% 3.71/4.10 selectoldest = 5
% 3.71/4.10
% 3.71/4.10 litorderings [0] = split
% 3.71/4.10 litorderings [1] = extend the termordering, first sorting on arguments
% 3.71/4.10
% 3.71/4.10 termordering = kbo
% 3.71/4.10
% 3.71/4.10 litapriori = 0
% 3.71/4.10 termapriori = 1
% 3.71/4.10 litaposteriori = 0
% 3.71/4.10 termaposteriori = 0
% 3.71/4.10 demodaposteriori = 0
% 3.71/4.10 ordereqreflfact = 0
% 3.71/4.10
% 3.71/4.10 litselect = negord
% 3.71/4.10
% 3.71/4.10 maxweight = 15
% 3.71/4.10 maxdepth = 30000
% 3.71/4.10 maxlength = 115
% 3.71/4.10 maxnrvars = 195
% 3.71/4.10 excuselevel = 1
% 3.71/4.10 increasemaxweight = 1
% 3.71/4.10
% 3.71/4.10 maxselected = 10000000
% 3.71/4.10 maxnrclauses = 10000000
% 3.71/4.10
% 3.71/4.10 showgenerated = 0
% 3.71/4.10 showkept = 0
% 3.71/4.10 showselected = 0
% 3.71/4.10 showdeleted = 0
% 3.71/4.10 showresimp = 1
% 3.71/4.10 showstatus = 2000
% 3.71/4.10
% 3.71/4.10 prologoutput = 0
% 3.71/4.10 nrgoals = 5000000
% 3.71/4.10 totalproof = 1
% 3.71/4.10
% 3.71/4.10 Symbols occurring in the translation:
% 3.71/4.10
% 3.71/4.10 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 3.71/4.10 . [1, 2] (w:1, o:37, a:1, s:1, b:0),
% 3.71/4.10 ! [4, 1] (w:0, o:32, a:1, s:1, b:0),
% 3.71/4.10 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 3.71/4.10 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 3.71/4.10 coll [38, 3] (w:1, o:65, a:1, s:1, b:0),
% 3.71/4.10 para [40, 4] (w:1, o:73, a:1, s:1, b:0),
% 3.71/4.10 perp [43, 4] (w:1, o:74, a:1, s:1, b:0),
% 3.71/4.10 midp [45, 3] (w:1, o:66, a:1, s:1, b:0),
% 3.71/4.10 cong [47, 4] (w:1, o:75, a:1, s:1, b:0),
% 3.71/4.10 circle [48, 4] (w:1, o:76, a:1, s:1, b:0),
% 3.71/4.10 cyclic [49, 4] (w:1, o:77, a:1, s:1, b:0),
% 3.71/4.10 eqangle [54, 8] (w:1, o:92, a:1, s:1, b:0),
% 3.71/4.10 eqratio [57, 8] (w:1, o:93, a:1, s:1, b:0),
% 3.71/4.10 simtri [59, 6] (w:1, o:89, a:1, s:1, b:0),
% 3.71/4.10 contri [60, 6] (w:1, o:90, a:1, s:1, b:0),
% 3.71/4.10 alpha1 [64, 3] (w:1, o:67, a:1, s:1, b:1),
% 3.71/4.10 alpha2 [65, 4] (w:1, o:78, a:1, s:1, b:1),
% 3.71/4.10 skol1 [66, 4] (w:1, o:79, a:1, s:1, b:1),
% 3.71/4.10 skol2 [67, 4] (w:1, o:81, a:1, s:1, b:1),
% 3.71/4.10 skol3 [68, 4] (w:1, o:83, a:1, s:1, b:1),
% 3.71/4.10 skol4 [69, 4] (w:1, o:84, a:1, s:1, b:1),
% 3.71/4.10 skol5 [70, 4] (w:1, o:85, a:1, s:1, b:1),
% 3.71/4.10 skol6 [71, 6] (w:1, o:91, a:1, s:1, b:1),
% 3.71/4.10 skol7 [72, 2] (w:1, o:61, a:1, s:1, b:1),
% 3.71/4.10 skol8 [73, 4] (w:1, o:86, a:1, s:1, b:1),
% 3.71/4.10 skol9 [74, 4] (w:1, o:87, a:1, s:1, b:1),
% 3.71/4.10 skol10 [75, 3] (w:1, o:68, a:1, s:1, b:1),
% 3.71/4.10 skol11 [76, 3] (w:1, o:69, a:1, s:1, b:1),
% 3.71/4.10 skol12 [77, 2] (w:1, o:62, a:1, s:1, b:1),
% 3.71/4.10 skol13 [78, 5] (w:1, o:88, a:1, s:1, b:1),
% 3.71/4.10 skol14 [79, 3] (w:1, o:70, a:1, s:1, b:1),
% 3.71/4.10 skol15 [80, 3] (w:1, o:71, a:1, s:1, b:1),
% 3.71/4.10 skol16 [81, 3] (w:1, o:72, a:1, s:1, b:1),
% 3.71/4.10 skol17 [82, 2] (w:1, o:63, a:1, s:1, b:1),
% 3.71/4.10 skol18 [83, 2] (w:1, o:64, a:1, s:1, b:1),
% 3.71/4.10 skol19 [84, 4] (w:1, o:80, a:1, s:1, b:1),
% 3.71/4.10 skol20 [85, 0] (w:1, o:24, a:1, s:1, b:1),
% 3.71/4.10 skol21 [86, 4] (w:1, o:82, a:1, s:1, b:1),
% 3.71/4.10 skol22 [87, 0] (w:1, o:25, a:1, s:1, b:1),
% 3.71/4.10 skol23 [88, 0] (w:1, o:26, a:1, s:1, b:1),
% 3.71/4.10 skol24 [89, 0] (w:1, o:27, a:1, s:1, b:1),
% 3.71/4.10 skol25 [90, 0] (w:1, o:28, a:1, s:1, b:1),
% 3.71/4.10 skol26 [91, 0] (w:1, o:29, a:1, s:1, b:1),
% 3.71/4.10 skol27 [92, 0] (w:1, o:30, a:1, s:1, b:1),
% 3.71/4.10 skol28 [93, 0] (w:1, o:31, a:1, s:1, b:1).
% 3.71/4.10
% 3.71/4.10
% 3.71/4.10 Starting Search:
% 3.71/4.10
% 3.71/4.10 *** allocated 15000 integers for clauses
% 3.71/4.10 *** allocated 22500 integers for clauses
% 3.71/4.10 *** allocated 33750 integers for clauses
% 3.71/4.10 *** allocated 50625 integers for clauses
% 3.71/4.10 *** allocated 22500 integers for termspace/termends
% 3.71/4.10 *** allocated 75937 integers for clauses
% 3.71/4.10 Resimplifying inuse:
% 3.71/4.10 Done
% 3.71/4.10
% 3.71/4.10 *** allocated 33750 integers for termspace/termends
% 3.71/4.10 *** allocated 113905 integers for clauses
% 3.71/4.10 *** allocated 50625 integers for termspace/termends
% 3.71/4.10
% 3.71/4.10 Intermediate Status:
% 3.71/4.10 Generated: 9906
% 3.71/4.10 Kept: 2007
% 3.71/4.10 Inuse: 331
% 3.71/4.10 Deleted: 0
% 3.71/4.10 Deletedinuse: 0
% 3.71/4.10
% 3.71/4.10 Resimplifying inuse:
% 3.71/4.10 Done
% 3.71/4.10
% 3.71/4.10 *** allocated 170857 integers for clauses
% 3.71/4.10 *** allocated 75937 integers for termspace/termends
% 3.71/4.10 Resimplifying inuse:
% 3.71/4.10 Done
% 3.71/4.10
% 3.71/4.10 *** allocated 256285 integers for clauses
% 3.71/4.10 *** allocated 113905 integers for termspace/termends
% 3.71/4.10
% 3.71/4.10 Intermediate Status:
% 3.71/4.10 Generated: 22192
% 3.71/4.10 Kept: 4010
% 3.71/4.10 Inuse: 470
% 3.71/4.10 Deleted: 0
% 3.71/4.10 Deletedinuse: 0
% 3.71/4.10
% 3.71/4.10 Resimplifying inuse:
% 3.71/4.10 Done
% 3.71/4.10
% 3.71/4.10 Resimplifying inuse:
% 3.71/4.10 Done
% 3.71/4.10
% 3.71/4.10 *** allocated 384427 integers for clauses
% 3.71/4.10 *** allocated 170857 integers for termspace/termends
% 3.71/4.10
% 3.71/4.10 Intermediate Status:
% 3.71/4.10 Generated: 35880
% 3.71/4.10 Kept: 6010
% 3.71/4.10 Inuse: 538
% 3.71/4.10 Deleted: 0
% 3.71/4.10 Deletedinuse: 0
% 3.71/4.10
% 3.71/4.10 Resimplifying inuse:
% 3.71/4.10 Done
% 3.71/4.10
% 3.71/4.10 Resimplifying inuse:
% 3.71/4.10 Done
% 3.71/4.10
% 3.71/4.10 *** allocated 576640 integers for clauses
% 3.71/4.10
% 3.71/4.10 Intermediate Status:
% 3.71/4.10 Generated: 51783
% 3.71/4.10 Kept: 8011
% 3.71/4.10 Inuse: 690
% 3.71/4.10 Deleted: 1
% 3.71/4.10 Deletedinuse: 0
% 3.71/4.10
% 3.71/4.10 Resimplifying inuse:
% 3.71/4.10 Done
% 3.71/4.10
% 3.71/4.10 *** allocated 256285 integers for termspace/termends
% 3.71/4.10 Resimplifying inuse:
% 3.71/4.10 Done
% 3.71/4.10
% 3.71/4.10
% 3.71/4.10 Intermediate Status:
% 3.71/4.10 Generated: 62363
% 3.71/4.10 Kept: 10019
% 3.71/4.10 Inuse: 874
% 3.71/4.10 Deleted: 812
% 3.71/4.10 Deletedinuse: 575
% 3.71/4.10
% 3.71/4.10 Resimplifying inuse:
% 3.71/4.10 Done
% 3.71/4.10
% 3.71/4.10 Resimplifying inuse:
% 3.71/4.10 Done
% 3.71/4.10
% 3.71/4.10 *** allocated 864960 integers for clauses
% 3.71/4.10
% 3.71/4.10 Intermediate Status:
% 3.71/4.10 Generated: 71373
% 3.71/4.10 Kept: 12027
% 3.71/4.10 Inuse: 1005
% 3.71/4.10 Deleted: 844
% 3.71/4.10 Deletedinuse: 598
% 3.71/4.10
% 3.71/4.10 Resimplifying inuse:
% 3.71/4.10 Done
% 3.71/4.10
% 3.71/4.10 Resimplifying inuse:
% 3.71/4.10 Done
% 3.71/4.10
% 3.71/4.10
% 3.71/4.10 Intermediate Status:
% 3.71/4.10 Generated: 81316
% 3.71/4.10 Kept: 14039
% 3.71/4.10 Inuse: 1180
% 3.71/4.10 Deleted: 845
% 3.71/4.10 Deletedinuse: 598
% 3.71/4.10
% 3.71/4.10 Resimplifying inuse:
% 3.71/4.10 Done
% 3.71/4.10
% 3.71/4.10 *** allocated 384427 integers for termspace/termends
% 3.71/4.10 Resimplifying inuse:
% 3.71/4.10 Done
% 3.71/4.10
% 3.71/4.10
% 3.71/4.10 Intermediate Status:
% 3.71/4.10 Generated: 94359
% 3.71/4.10 Kept: 16041
% 3.71/4.10 Inuse: 1360
% 3.71/4.10 Deleted: 890
% 3.71/4.10 Deletedinuse: 598
% 3.71/4.10
% 3.71/4.10 Resimplifying inuse:
% 3.71/4.10 Done
% 3.71/4.10
% 3.71/4.10 Resimplifying inuse:
% 3.71/4.10 Done
% 3.71/4.10
% 3.71/4.10 *** allocated 1297440 integers for clauses
% 3.71/4.10
% 3.71/4.10 Intermediate Status:
% 3.71/4.10 Generated: 107147
% 3.71/4.10 Kept: 18059
% 3.71/4.10 Inuse: 1554
% 3.71/4.10 Deleted: 890
% 3.71/4.10 Deletedinuse: 598
% 3.71/4.10
% 3.71/4.10 Resimplifying inuse:
% 3.71/4.10 Done
% 3.71/4.10
% 3.71/4.10 Resimplifying inuse:
% 3.71/4.10 Done
% 3.71/4.10
% 3.71/4.10 Resimplifying clauses:
% 3.71/4.10 Done
% 3.71/4.10
% 3.71/4.10
% 3.71/4.10 Intermediate Status:
% 3.71/4.10 Generated: 133178
% 3.71/4.10 Kept: 20094
% 3.71/4.10 Inuse: 2006
% 3.71/4.10 Deleted: 6819
% 3.71/4.10 Deletedinuse: 598
% 3.71/4.10
% 3.71/4.10
% 3.71/4.10 Bliksems!, er is een bewijs:
% 3.71/4.10 % SZS status Theorem
% 3.71/4.10 % SZS output start Refutation
% 3.71/4.10
% 3.71/4.10 (0) {G0,W8,D2,L2,V3,M2} I { ! coll( X, Y, Z ), coll( X, Z, Y ) }.
% 3.71/4.10 (1) {G0,W8,D2,L2,V3,M2} I { ! coll( X, Y, Z ), coll( Y, X, Z ) }.
% 3.71/4.10 (2) {G0,W12,D2,L3,V4,M3} I { ! coll( X, T, Y ), ! coll( X, T, Z ), coll( Y
% 3.71/4.10 , Z, X ) }.
% 3.71/4.10 (6) {G0,W10,D2,L2,V4,M2} I { ! perp( X, Y, Z, T ), perp( X, Y, T, Z ) }.
% 3.71/4.10 (7) {G0,W10,D2,L2,V4,M2} I { ! perp( X, Y, Z, T ), perp( Z, T, X, Y ) }.
% 3.71/4.10 (8) {G0,W15,D2,L3,V6,M3} I { ! perp( X, Y, U, W ), ! perp( U, W, Z, T ),
% 3.71/4.10 para( X, Y, Z, T ) }.
% 3.71/4.10 (10) {G0,W8,D2,L2,V3,M2} I { ! midp( Z, Y, X ), midp( Z, X, Y ) }.
% 3.71/4.10 (11) {G0,W15,D2,L3,V4,M3} I { ! cong( T, X, T, Y ), ! cong( T, X, T, Z ),
% 3.71/4.10 circle( T, X, Y, Z ) }.
% 3.71/4.10 (13) {G0,W10,D2,L2,V4,M2} I { ! cyclic( X, Y, Z, T ), cyclic( X, Y, T, Z )
% 3.71/4.10 }.
% 3.71/4.10 (14) {G0,W10,D2,L2,V4,M2} I { ! cyclic( X, Y, Z, T ), cyclic( X, Z, Y, T )
% 3.71/4.10 }.
% 3.71/4.10 (15) {G0,W10,D2,L2,V4,M2} I { ! cyclic( X, Y, Z, T ), cyclic( Y, X, Z, T )
% 3.71/4.10 }.
% 3.71/4.10 (16) {G0,W15,D2,L3,V5,M3} I { ! cyclic( U, X, Y, Z ), ! cyclic( U, X, Y, T
% 3.71/4.10 ), cyclic( X, Y, Z, T ) }.
% 3.71/4.10 (39) {G0,W14,D2,L2,V6,M2} I { ! para( X, Y, Z, T ), eqangle( X, Y, U, W, Z
% 3.71/4.10 , T, U, W ) }.
% 3.71/4.10 (42) {G0,W18,D2,L3,V4,M3} I { ! eqangle( Z, X, Z, Y, T, X, T, Y ), ! coll(
% 3.71/4.10 Z, T, Y ), cyclic( X, Y, Z, T ) }.
% 3.71/4.10 (68) {G0,W9,D2,L2,V3,M2} I { ! midp( X, Y, Z ), cong( X, Y, X, Z ) }.
% 3.71/4.10 (69) {G0,W8,D2,L2,V3,M2} I { ! midp( X, Y, Z ), coll( X, Y, Z ) }.
% 3.71/4.10 (88) {G0,W22,D3,L5,V7,M5} I { ! midp( Z, X, Y ), ! midp( W, T, U ), ! coll
% 3.71/4.10 ( T, X, Y ), ! coll( U, X, Y ), midp( skol7( X, V0 ), X, V0 ) }.
% 3.71/4.10 (95) {G0,W18,D3,L3,V4,M3} I { ! perp( X, T, Y, Z ), ! perp( Y, T, X, Z ),
% 3.71/4.10 perp( X, skol10( X, Y, Z ), Z, Y ) }.
% 3.71/4.10 (100) {G0,W12,D3,L2,V4,M2} I { ! circle( Y, X, Z, T ), perp( skol12( X, Y )
% 3.71/4.10 , X, X, Y ) }.
% 3.71/4.10 (110) {G0,W17,D3,L3,V5,M3} I { ! perp( X, U, U, T ), ! coll( T, Y, Z ),
% 3.71/4.10 perp( skol16( X, Y, Z ), X, Y, Z ) }.
% 3.71/4.10 (125) {G0,W4,D2,L1,V0,M1} I { midp( skol24, skol27, skol26 ) }.
% 3.71/4.10 (126) {G0,W5,D2,L1,V0,M1} I { ! cyclic( skol20, skol22, skol23, skol24 )
% 3.71/4.10 }.
% 3.71/4.10 (129) {G1,W10,D2,L2,V3,M2} F(11) { ! cong( X, Y, X, Z ), circle( X, Y, Z, Z
% 3.71/4.10 ) }.
% 3.71/4.10 (149) {G1,W18,D3,L4,V4,M4} F(88) { ! midp( X, Y, Z ), ! coll( Y, Y, Z ), !
% 3.71/4.10 coll( Z, Y, Z ), midp( skol7( Y, T ), Y, T ) }.
% 3.71/4.10 (155) {G1,W13,D3,L2,V3,M2} F(95) { ! perp( X, Y, X, Z ), perp( X, skol10( X
% 3.71/4.10 , X, Z ), Z, X ) }.
% 3.71/4.10 (170) {G1,W8,D2,L2,V3,M2} R(1,0) { coll( X, Y, Z ), ! coll( Y, Z, X ) }.
% 3.71/4.10 (171) {G1,W8,D2,L2,V3,M2} R(1,0) { ! coll( X, Y, Z ), coll( Y, Z, X ) }.
% 3.71/4.10 (198) {G1,W12,D2,L3,V4,M3} R(2,0) { ! coll( X, Y, Z ), ! coll( X, Y, T ),
% 3.71/4.10 coll( Z, X, T ) }.
% 3.71/4.10 (205) {G2,W8,D2,L2,V3,M2} F(198) { ! coll( X, Y, Z ), coll( Z, X, Z ) }.
% 3.71/4.10 (237) {G3,W12,D2,L3,V4,M3} R(205,2) { coll( X, Y, X ), ! coll( X, Z, Y ), !
% 3.71/4.10 coll( X, Z, T ) }.
% 3.71/4.10 (251) {G4,W8,D2,L2,V3,M2} F(237) { coll( X, Y, X ), ! coll( X, Z, Y ) }.
% 3.71/4.10 (293) {G1,W15,D2,L3,V6,M3} R(8,7) { ! perp( X, Y, Z, T ), para( X, Y, U, W
% 3.71/4.10 ), ! perp( U, W, Z, T ) }.
% 3.71/4.10 (307) {G2,W10,D2,L2,V4,M2} F(293) { ! perp( X, Y, Z, T ), para( X, Y, X, Y
% 3.71/4.10 ) }.
% 3.71/4.10 (334) {G1,W4,D2,L1,V0,M1} R(10,125) { midp( skol24, skol26, skol27 ) }.
% 3.71/4.10 (365) {G1,W10,D2,L2,V4,M2} R(14,13) { ! cyclic( X, Y, Z, T ), cyclic( X, Z
% 3.71/4.10 , T, Y ) }.
% 3.71/4.10 (376) {G1,W10,D2,L2,V4,M2} R(15,14) { ! cyclic( X, Y, Z, T ), cyclic( Y, Z
% 3.71/4.10 , X, T ) }.
% 3.71/4.10 (379) {G1,W5,D2,L1,V0,M1} R(15,126) { ! cyclic( skol22, skol20, skol23,
% 3.71/4.10 skol24 ) }.
% 3.71/4.10 (402) {G1,W15,D2,L3,V5,M3} R(16,13) { ! cyclic( X, Y, Z, T ), cyclic( Y, Z
% 3.71/4.10 , T, U ), ! cyclic( X, Y, U, Z ) }.
% 3.71/4.10 (434) {G2,W5,D2,L1,V0,M1} R(379,14) { ! cyclic( skol22, skol23, skol20,
% 3.71/4.10 skol24 ) }.
% 3.71/4.10 (441) {G3,W5,D2,L1,V0,M1} R(434,15) { ! cyclic( skol23, skol22, skol20,
% 3.71/4.10 skol24 ) }.
% 3.71/4.10 (444) {G4,W5,D2,L1,V0,M1} R(441,14) { ! cyclic( skol23, skol20, skol22,
% 3.71/4.10 skol24 ) }.
% 3.71/4.10 (448) {G5,W5,D2,L1,V0,M1} R(444,13) { ! cyclic( skol23, skol20, skol24,
% 3.71/4.10 skol22 ) }.
% 3.71/4.10 (449) {G6,W5,D2,L1,V0,M1} R(448,15) { ! cyclic( skol20, skol23, skol24,
% 3.71/4.10 skol22 ) }.
% 3.71/4.10 (455) {G7,W5,D2,L1,V0,M1} R(449,14) { ! cyclic( skol20, skol24, skol23,
% 3.71/4.10 skol22 ) }.
% 3.71/4.10 (457) {G8,W5,D2,L1,V0,M1} R(455,15) { ! cyclic( skol24, skol20, skol23,
% 3.71/4.10 skol22 ) }.
% 3.71/4.10 (460) {G9,W5,D2,L1,V0,M1} R(457,14) { ! cyclic( skol24, skol23, skol20,
% 3.71/4.10 skol22 ) }.
% 3.71/4.10 (464) {G10,W5,D2,L1,V0,M1} R(460,13) { ! cyclic( skol24, skol23, skol22,
% 3.71/4.10 skol20 ) }.
% 3.71/4.10 (478) {G11,W5,D2,L1,V0,M1} R(464,14) { ! cyclic( skol24, skol22, skol23,
% 3.71/4.10 skol20 ) }.
% 3.71/4.10 (481) {G12,W5,D2,L1,V0,M1} R(478,15) { ! cyclic( skol22, skol24, skol23,
% 3.71/4.10 skol20 ) }.
% 3.71/4.10 (483) {G13,W10,D2,L2,V1,M2} R(481,16) { ! cyclic( X, skol22, skol24, skol23
% 3.71/4.10 ), ! cyclic( X, skol22, skol24, skol20 ) }.
% 3.71/4.10 (620) {G5,W8,D2,L2,V3,M2} R(251,1) { ! coll( X, Y, Z ), coll( Z, X, X ) }.
% 3.71/4.10 (625) {G6,W8,D2,L2,V3,M2} R(620,1) { coll( X, Y, Y ), ! coll( Z, Y, X ) }.
% 3.71/4.10 (626) {G6,W8,D2,L2,V3,M2} R(620,0) { coll( X, Y, Y ), ! coll( Y, X, Z ) }.
% 3.71/4.10 (632) {G7,W8,D2,L2,V3,M2} R(626,626) { ! coll( X, Y, Z ), coll( X, Y, Y )
% 3.71/4.10 }.
% 3.71/4.10 (635) {G8,W12,D2,L3,V4,M3} R(632,2) { ! coll( X, Y, Z ), ! coll( X, Y, T )
% 3.71/4.10 , coll( T, Y, X ) }.
% 3.71/4.10 (636) {G9,W8,D2,L2,V3,M2} F(635) { ! coll( X, Y, Z ), coll( Z, Y, X ) }.
% 3.71/4.10 (642) {G10,W8,D2,L2,V3,M2} R(636,625) { coll( X, X, Y ), ! coll( Z, X, Y )
% 3.71/4.10 }.
% 3.71/4.10 (688) {G11,W8,D2,L2,V3,M2} R(69,642) { ! midp( X, Y, Z ), coll( Y, Y, Z )
% 3.71/4.10 }.
% 3.71/4.10 (702) {G2,W4,D2,L1,V0,M1} R(69,334) { coll( skol24, skol26, skol27 ) }.
% 3.71/4.10 (707) {G1,W8,D2,L2,V3,M2} R(69,1) { ! midp( X, Y, Z ), coll( Y, X, Z ) }.
% 3.71/4.10 (708) {G1,W4,D2,L1,V0,M1} R(69,125) { coll( skol24, skol27, skol26 ) }.
% 3.71/4.10 (726) {G3,W4,D2,L1,V0,M1} R(702,1) { coll( skol26, skol24, skol27 ) }.
% 3.71/4.10 (780) {G4,W8,D2,L2,V1,M2} R(726,2) { ! coll( skol26, skol24, X ), coll(
% 3.71/4.10 skol27, X, skol26 ) }.
% 3.71/4.10 (793) {G2,W8,D2,L2,V1,M2} R(708,2) { ! coll( skol24, skol27, X ), coll(
% 3.71/4.10 skol26, X, skol24 ) }.
% 3.71/4.10 (847) {G1,W14,D2,L3,V3,M3} R(42,39) { ! coll( X, X, Y ), cyclic( Z, Y, X, X
% 3.71/4.10 ), ! para( X, Z, X, Z ) }.
% 3.71/4.10 (1190) {G3,W8,D2,L2,V1,M2} R(793,171) { coll( skol26, X, skol24 ), ! coll(
% 3.71/4.10 X, skol24, skol27 ) }.
% 3.71/4.10 (2011) {G4,W8,D2,L2,V1,M2} R(1190,171) { ! coll( X, skol24, skol27 ), coll
% 3.71/4.10 ( X, skol24, skol26 ) }.
% 3.71/4.10 (2029) {G5,W12,D2,L3,V2,M3} R(2011,2) { ! coll( X, skol24, skol27 ), ! coll
% 3.71/4.10 ( X, skol24, Y ), coll( skol26, Y, X ) }.
% 3.71/4.10 (2034) {G6,W8,D2,L2,V1,M2} F(2029) { ! coll( X, skol24, skol27 ), coll(
% 3.71/4.10 skol26, skol27, X ) }.
% 3.71/4.10 (2425) {G2,W5,D2,L1,V0,M1} R(68,334) { cong( skol24, skol26, skol24, skol27
% 3.71/4.10 ) }.
% 3.71/4.10 (2995) {G7,W8,D2,L2,V1,M2} R(2034,707) { coll( skol26, skol27, X ), ! midp
% 3.71/4.10 ( skol24, X, skol27 ) }.
% 3.71/4.10 (3016) {G8,W8,D2,L2,V1,M2} R(2995,170) { ! midp( skol24, X, skol27 ), coll
% 3.71/4.10 ( X, skol26, skol27 ) }.
% 3.71/4.10 (7214) {G5,W8,D2,L2,V1,M2} R(780,707) { coll( skol27, X, skol26 ), ! midp(
% 3.71/4.10 skol24, skol26, X ) }.
% 3.71/4.10 (7242) {G6,W8,D2,L2,V1,M2} R(7214,171) { ! midp( skol24, skol26, X ), coll
% 3.71/4.10 ( X, skol26, skol27 ) }.
% 3.71/4.10 (7282) {G3,W5,D2,L1,V0,M1} R(129,2425) { circle( skol24, skol26, skol27,
% 3.71/4.10 skol27 ) }.
% 3.71/4.10 (7376) {G4,W7,D3,L1,V0,M1} R(7282,100) { perp( skol12( skol26, skol24 ),
% 3.71/4.10 skol26, skol26, skol24 ) }.
% 3.71/4.10 (8051) {G9,W14,D3,L3,V2,M3} R(149,7242);r(3016) { ! midp( X, skol26, skol27
% 3.71/4.10 ), midp( skol7( skol26, Y ), skol26, Y ), ! midp( skol24, skol26, skol27
% 3.71/4.10 ) }.
% 3.71/4.10 (8187) {G10,W6,D3,L1,V1,M1} F(8051);r(334) { midp( skol7( skol26, X ),
% 3.71/4.10 skol26, X ) }.
% 3.71/4.10 (8217) {G12,W4,D2,L1,V1,M1} R(8187,688) { coll( skol26, skol26, X ) }.
% 3.71/4.10 (8276) {G13,W4,D2,L1,V2,M1} R(8217,2);r(8217) { coll( Y, X, skol26 ) }.
% 3.71/4.10 (8285) {G14,W4,D2,L1,V2,M1} R(8276,171) { coll( X, skol26, Y ) }.
% 3.71/4.10 (8298) {G15,W4,D2,L1,V3,M1} R(8285,2);r(8285) { coll( Z, Y, X ) }.
% 3.71/4.10 (8408) {G5,W7,D3,L1,V0,M1} R(7376,7) { perp( skol26, skol24, skol12( skol26
% 3.71/4.10 , skol24 ), skol26 ) }.
% 3.71/4.10 (8417) {G6,W7,D3,L1,V0,M1} R(8408,6) { perp( skol26, skol24, skol26, skol12
% 3.71/4.10 ( skol26, skol24 ) ) }.
% 3.71/4.10 (8425) {G7,W7,D3,L1,V0,M1} R(8417,7) { perp( skol26, skol12( skol26, skol24
% 3.71/4.10 ), skol26, skol24 ) }.
% 3.71/4.10 (8434) {G8,W7,D3,L1,V0,M1} R(8425,6) { perp( skol26, skol12( skol26, skol24
% 3.71/4.10 ), skol24, skol26 ) }.
% 3.71/4.10 (8443) {G9,W7,D3,L1,V0,M1} R(8434,7) { perp( skol24, skol26, skol26, skol12
% 3.71/4.10 ( skol26, skol24 ) ) }.
% 3.71/4.10 (8445) {G16,W8,D3,L1,V2,M1} R(8443,110);r(8298) { perp( skol16( skol24, X,
% 3.71/4.10 Y ), skol24, X, Y ) }.
% 3.71/4.10 (8661) {G17,W8,D3,L1,V2,M1} R(8445,7) { perp( X, Y, skol16( skol24, X, Y )
% 3.71/4.10 , skol24 ) }.
% 3.71/4.10 (8671) {G18,W8,D3,L1,V2,M1} R(8661,6) { perp( X, Y, skol24, skol16( skol24
% 3.71/4.10 , X, Y ) ) }.
% 3.71/4.10 (8685) {G19,W8,D3,L1,V3,M1} R(8671,110);r(8298) { perp( skol16( X, Y, Z ),
% 3.71/4.10 X, Y, Z ) }.
% 3.71/4.10 (8704) {G20,W8,D3,L1,V3,M1} R(8685,7) { perp( X, Y, skol16( Z, X, Y ), Z )
% 3.71/4.10 }.
% 3.71/4.10 (8725) {G21,W8,D3,L1,V3,M1} R(8704,6) { perp( X, Y, Z, skol16( Z, X, Y ) )
% 3.71/4.10 }.
% 3.71/4.10 (8736) {G22,W8,D3,L1,V3,M1} R(8725,7) { perp( X, skol16( X, Y, Z ), Y, Z )
% 3.71/4.10 }.
% 3.71/4.10 (8747) {G23,W8,D3,L1,V2,M1} R(8736,155) { perp( X, skol10( X, X, Y ), Y, X
% 3.71/4.10 ) }.
% 3.71/4.10 (9007) {G24,W8,D3,L1,V2,M1} R(8747,7) { perp( X, Y, Y, skol10( Y, Y, X ) )
% 3.71/4.10 }.
% 3.71/4.10 (9876) {G25,W5,D2,L1,V2,M1} R(307,9007) { para( X, Y, X, Y ) }.
% 3.71/4.10 (20063) {G26,W5,D2,L1,V3,M1} S(847);r(8298);r(9876) { cyclic( Z, Y, X, X )
% 3.71/4.10 }.
% 3.71/4.10 (20105) {G27,W5,D2,L1,V3,M1} R(20063,376) { cyclic( X, Y, Z, Y ) }.
% 3.71/4.10 (20107) {G27,W5,D2,L1,V3,M1} R(20063,365) { cyclic( X, Y, Y, Z ) }.
% 3.71/4.10 (20112) {G28,W5,D2,L1,V3,M1} R(20105,402);r(20107) { cyclic( Y, Y, Z, T )
% 3.71/4.10 }.
% 3.71/4.10 (20120) {G29,W0,D0,L0,V0,M0} R(20112,483);r(20112) { }.
% 3.71/4.10
% 3.71/4.10
% 3.71/4.10 % SZS output end Refutation
% 3.71/4.10 found a proof!
% 3.71/4.10
% 3.71/4.10
% 3.71/4.10 Unprocessed initial clauses:
% 3.71/4.10
% 3.71/4.10 (20122) {G0,W8,D2,L2,V3,M2} { ! coll( X, Y, Z ), coll( X, Z, Y ) }.
% 3.71/4.10 (20123) {G0,W8,D2,L2,V3,M2} { ! coll( X, Y, Z ), coll( Y, X, Z ) }.
% 3.71/4.10 (20124) {G0,W12,D2,L3,V4,M3} { ! coll( X, T, Y ), ! coll( X, T, Z ), coll
% 3.71/4.10 ( Y, Z, X ) }.
% 3.71/4.10 (20125) {G0,W10,D2,L2,V4,M2} { ! para( X, Y, Z, T ), para( X, Y, T, Z )
% 3.71/4.10 }.
% 3.71/4.10 (20126) {G0,W10,D2,L2,V4,M2} { ! para( X, Y, Z, T ), para( Z, T, X, Y )
% 3.71/4.10 }.
% 3.71/4.10 (20127) {G0,W15,D2,L3,V6,M3} { ! para( X, Y, U, W ), ! para( U, W, Z, T )
% 3.71/4.10 , para( X, Y, Z, T ) }.
% 3.71/4.10 (20128) {G0,W10,D2,L2,V4,M2} { ! perp( X, Y, Z, T ), perp( X, Y, T, Z )
% 3.71/4.10 }.
% 3.71/4.10 (20129) {G0,W10,D2,L2,V4,M2} { ! perp( X, Y, Z, T ), perp( Z, T, X, Y )
% 3.71/4.10 }.
% 3.71/4.10 (20130) {G0,W15,D2,L3,V6,M3} { ! perp( X, Y, U, W ), ! perp( U, W, Z, T )
% 3.71/4.10 , para( X, Y, Z, T ) }.
% 3.71/4.10 (20131) {G0,W15,D2,L3,V6,M3} { ! para( X, Y, U, W ), ! perp( U, W, Z, T )
% 3.71/4.10 , perp( X, Y, Z, T ) }.
% 3.71/4.10 (20132) {G0,W8,D2,L2,V3,M2} { ! midp( Z, Y, X ), midp( Z, X, Y ) }.
% 3.71/4.10 (20133) {G0,W15,D2,L3,V4,M3} { ! cong( T, X, T, Y ), ! cong( T, X, T, Z )
% 3.71/4.10 , circle( T, X, Y, Z ) }.
% 3.71/4.10 (20134) {G0,W20,D2,L4,V5,M4} { ! cong( U, X, U, Y ), ! cong( U, X, U, Z )
% 3.71/4.10 , ! cong( U, X, U, T ), cyclic( X, Y, Z, T ) }.
% 3.71/4.10 (20135) {G0,W10,D2,L2,V4,M2} { ! cyclic( X, Y, Z, T ), cyclic( X, Y, T, Z
% 3.71/4.10 ) }.
% 3.71/4.10 (20136) {G0,W10,D2,L2,V4,M2} { ! cyclic( X, Y, Z, T ), cyclic( X, Z, Y, T
% 3.71/4.10 ) }.
% 3.71/4.10 (20137) {G0,W10,D2,L2,V4,M2} { ! cyclic( X, Y, Z, T ), cyclic( Y, X, Z, T
% 3.71/4.10 ) }.
% 3.71/4.10 (20138) {G0,W15,D2,L3,V5,M3} { ! cyclic( U, X, Y, Z ), ! cyclic( U, X, Y,
% 3.71/4.10 T ), cyclic( X, Y, Z, T ) }.
% 3.71/4.10 (20139) {G0,W18,D2,L2,V8,M2} { ! eqangle( X, Y, Z, T, U, W, V0, V1 ),
% 3.71/4.10 eqangle( Y, X, Z, T, U, W, V0, V1 ) }.
% 3.71/4.10 (20140) {G0,W18,D2,L2,V8,M2} { ! eqangle( X, Y, Z, T, U, W, V0, V1 ),
% 3.71/4.10 eqangle( Z, T, X, Y, V0, V1, U, W ) }.
% 3.71/4.10 (20141) {G0,W18,D2,L2,V8,M2} { ! eqangle( X, Y, Z, T, U, W, V0, V1 ),
% 3.71/4.10 eqangle( U, W, V0, V1, X, Y, Z, T ) }.
% 3.71/4.10 (20142) {G0,W18,D2,L2,V8,M2} { ! eqangle( X, Y, Z, T, U, W, V0, V1 ),
% 3.71/4.10 eqangle( X, Y, U, W, Z, T, V0, V1 ) }.
% 3.71/4.10 (20143) {G0,W27,D2,L3,V12,M3} { ! eqangle( X, Y, Z, T, V2, V3, V4, V5 ), !
% 3.71/4.10 eqangle( V2, V3, V4, V5, U, W, V0, V1 ), eqangle( X, Y, Z, T, U, W, V0,
% 3.71/4.10 V1 ) }.
% 3.71/4.10 (20144) {G0,W10,D2,L2,V4,M2} { ! cong( X, Y, Z, T ), cong( X, Y, T, Z )
% 3.71/4.10 }.
% 3.71/4.10 (20145) {G0,W10,D2,L2,V4,M2} { ! cong( X, Y, Z, T ), cong( Z, T, X, Y )
% 3.71/4.10 }.
% 3.71/4.10 (20146) {G0,W15,D2,L3,V6,M3} { ! cong( X, Y, U, W ), ! cong( U, W, Z, T )
% 3.71/4.10 , cong( X, Y, Z, T ) }.
% 3.71/4.10 (20147) {G0,W18,D2,L2,V8,M2} { ! eqratio( X, Y, Z, T, U, W, V0, V1 ),
% 3.71/4.10 eqratio( Y, X, Z, T, U, W, V0, V1 ) }.
% 3.71/4.10 (20148) {G0,W18,D2,L2,V8,M2} { ! eqratio( X, Y, Z, T, U, W, V0, V1 ),
% 3.71/4.10 eqratio( Z, T, X, Y, V0, V1, U, W ) }.
% 3.71/4.10 (20149) {G0,W18,D2,L2,V8,M2} { ! eqratio( X, Y, Z, T, U, W, V0, V1 ),
% 3.71/4.10 eqratio( U, W, V0, V1, X, Y, Z, T ) }.
% 3.71/4.10 (20150) {G0,W18,D2,L2,V8,M2} { ! eqratio( X, Y, Z, T, U, W, V0, V1 ),
% 3.71/4.10 eqratio( X, Y, U, W, Z, T, V0, V1 ) }.
% 3.71/4.10 (20151) {G0,W27,D2,L3,V12,M3} { ! eqratio( X, Y, Z, T, V2, V3, V4, V5 ), !
% 3.71/4.10 eqratio( V2, V3, V4, V5, U, W, V0, V1 ), eqratio( X, Y, Z, T, U, W, V0,
% 3.71/4.10 V1 ) }.
% 3.71/4.10 (20152) {G0,W14,D2,L2,V6,M2} { ! simtri( X, Z, Y, T, W, U ), simtri( X, Y
% 3.71/4.10 , Z, T, U, W ) }.
% 3.71/4.10 (20153) {G0,W14,D2,L2,V6,M2} { ! simtri( Y, X, Z, U, T, W ), simtri( X, Y
% 3.71/4.10 , Z, T, U, W ) }.
% 3.71/4.10 (20154) {G0,W14,D2,L2,V6,M2} { ! simtri( T, U, W, X, Y, Z ), simtri( X, Y
% 3.71/4.10 , Z, T, U, W ) }.
% 3.71/4.10 (20155) {G0,W21,D2,L3,V9,M3} { ! simtri( X, Y, Z, V0, V1, V2 ), ! simtri(
% 3.71/4.10 V0, V1, V2, T, U, W ), simtri( X, Y, Z, T, U, W ) }.
% 3.71/4.10 (20156) {G0,W14,D2,L2,V6,M2} { ! contri( X, Z, Y, T, W, U ), contri( X, Y
% 3.71/4.10 , Z, T, U, W ) }.
% 3.71/4.10 (20157) {G0,W14,D2,L2,V6,M2} { ! contri( Y, X, Z, U, T, W ), contri( X, Y
% 3.71/4.10 , Z, T, U, W ) }.
% 3.71/4.10 (20158) {G0,W14,D2,L2,V6,M2} { ! contri( T, U, W, X, Y, Z ), contri( X, Y
% 3.71/4.10 , Z, T, U, W ) }.
% 3.71/4.10 (20159) {G0,W21,D2,L3,V9,M3} { ! contri( X, Y, Z, V0, V1, V2 ), ! contri(
% 3.71/4.10 V0, V1, V2, T, U, W ), contri( X, Y, Z, T, U, W ) }.
% 3.71/4.10 (20160) {G0,W14,D2,L2,V6,M2} { ! eqangle( X, Y, U, W, Z, T, U, W ), para(
% 3.71/4.10 X, Y, Z, T ) }.
% 3.71/4.10 (20161) {G0,W14,D2,L2,V6,M2} { ! para( X, Y, Z, T ), eqangle( X, Y, U, W,
% 3.71/4.10 Z, T, U, W ) }.
% 3.71/4.10 (20162) {G0,W14,D2,L2,V4,M2} { ! cyclic( X, Y, Z, T ), eqangle( Z, X, Z, Y
% 3.71/4.10 , T, X, T, Y ) }.
% 3.71/4.10 (20163) {G0,W18,D2,L3,V4,M3} { ! eqangle( Z, X, Z, Y, T, X, T, Y ), coll(
% 3.71/4.10 Z, T, X ), cyclic( X, Y, Z, T ) }.
% 3.71/4.10 (20164) {G0,W18,D2,L3,V4,M3} { ! eqangle( Z, X, Z, Y, T, X, T, Y ), ! coll
% 3.71/4.10 ( Z, T, Y ), cyclic( X, Y, Z, T ) }.
% 3.71/4.10 (20165) {G0,W29,D2,L5,V6,M5} { ! cyclic( X, Y, U, Z ), ! cyclic( X, Y, U,
% 3.71/4.10 T ), ! cyclic( X, Y, U, W ), ! eqangle( U, X, U, Y, W, Z, W, T ), cong( X
% 3.71/4.10 , Y, Z, T ) }.
% 3.71/4.10 (20166) {G0,W13,D2,L3,V5,M3} { ! midp( Z, U, X ), ! midp( T, U, Y ), para
% 3.71/4.10 ( Z, T, X, Y ) }.
% 3.71/4.10 (20167) {G0,W17,D2,L4,V5,M4} { ! midp( U, X, T ), ! para( U, Z, T, Y ), !
% 3.71/4.10 coll( Z, X, Y ), midp( Z, X, Y ) }.
% 3.71/4.10 (20168) {G0,W14,D2,L2,V3,M2} { ! cong( Z, X, Z, Y ), eqangle( Z, X, X, Y,
% 3.71/4.10 X, Y, Z, Y ) }.
% 3.71/4.10 (20169) {G0,W18,D2,L3,V3,M3} { ! eqangle( Z, X, X, Y, X, Y, Z, Y ), coll(
% 3.71/4.10 Z, X, Y ), cong( Z, X, Z, Y ) }.
% 3.71/4.10 (20170) {G0,W19,D2,L3,V5,M3} { ! circle( U, X, Y, Z ), ! perp( U, X, X, T
% 3.71/4.10 ), eqangle( X, T, X, Y, Z, X, Z, Y ) }.
% 3.71/4.10 (20171) {G0,W19,D2,L3,V5,M3} { ! circle( Y, X, T, U ), ! eqangle( X, Z, X
% 3.71/4.10 , T, U, X, U, T ), perp( Y, X, X, Z ) }.
% 3.71/4.10 (20172) {G0,W18,D2,L3,V5,M3} { ! circle( T, X, Y, Z ), ! midp( U, Y, Z ),
% 3.71/4.10 eqangle( X, Y, X, Z, T, Y, T, U ) }.
% 3.71/4.10 (20173) {G0,W22,D2,L4,V5,M4} { ! circle( U, T, X, Y ), ! coll( Z, X, Y ),
% 3.71/4.10 ! eqangle( T, X, T, Y, U, X, U, Z ), midp( Z, X, Y ) }.
% 3.71/4.10 (20174) {G0,W14,D2,L3,V4,M3} { ! perp( X, Y, Y, T ), ! midp( Z, X, T ),
% 3.71/4.10 cong( X, Z, Y, Z ) }.
% 3.71/4.10 (20175) {G0,W14,D2,L3,V4,M3} { ! circle( T, X, Y, Z ), ! coll( T, X, Z ),
% 3.71/4.10 perp( X, Y, Y, Z ) }.
% 3.71/4.10 (20176) {G0,W19,D2,L3,V4,M3} { ! cyclic( X, Y, Z, T ), ! para( X, Y, Z, T
% 3.71/4.10 ), eqangle( X, T, Z, T, Z, T, Z, Y ) }.
% 3.71/4.10 (20177) {G0,W14,D2,L3,V4,M3} { ! midp( T, X, Y ), ! perp( Z, T, X, Y ),
% 3.71/4.10 cong( Z, X, Z, Y ) }.
% 3.71/4.10 (20178) {G0,W15,D2,L3,V4,M3} { ! cong( X, Z, Y, Z ), ! cong( X, T, Y, T )
% 3.71/4.10 , perp( X, Y, Z, T ) }.
% 3.71/4.10 (20179) {G0,W20,D2,L4,V4,M4} { ! cong( X, Y, T, Y ), ! cong( X, Z, T, Z )
% 3.71/4.10 , ! cyclic( X, T, Y, Z ), perp( Y, X, X, Z ) }.
% 3.71/4.10 (20180) {G0,W29,D2,L4,V6,M4} { ! eqangle( X, Y, Y, Z, T, U, U, W ), !
% 3.71/4.10 eqangle( X, Z, Y, Z, T, W, U, W ), coll( X, Y, Z ), simtri( X, Y, Z, T, U
% 3.71/4.10 , W ) }.
% 3.71/4.10 (20181) {G0,W16,D2,L2,V6,M2} { ! simtri( X, Y, Z, T, U, W ), eqratio( X, Y
% 3.71/4.10 , X, Z, T, U, T, W ) }.
% 3.71/4.10 (20182) {G0,W16,D2,L2,V6,M2} { ! simtri( X, Y, Z, T, U, W ), eqangle( X, Y
% 3.71/4.10 , Y, Z, T, U, U, W ) }.
% 3.71/4.10 (20183) {G0,W19,D2,L3,V6,M3} { ! simtri( X, Y, Z, T, U, W ), ! cong( X, Y
% 3.71/4.10 , T, U ), contri( X, Y, Z, T, U, W ) }.
% 3.71/4.10 (20184) {G0,W12,D2,L2,V6,M2} { ! contri( X, Y, U, Z, T, W ), cong( X, Y, Z
% 3.71/4.10 , T ) }.
% 3.71/4.10 (20185) {G0,W13,D2,L3,V5,M3} { ! midp( U, X, Y ), ! midp( U, Z, T ), para
% 3.71/4.10 ( X, Z, Y, T ) }.
% 3.71/4.10 (20186) {G0,W18,D2,L4,V5,M4} { ! midp( Z, T, U ), ! para( T, X, U, Y ), !
% 3.71/4.10 para( T, Y, U, X ), midp( Z, X, Y ) }.
% 3.71/4.10 (20187) {G0,W22,D2,L4,V5,M4} { ! para( X, Y, Z, T ), ! coll( U, X, Z ), !
% 3.71/4.10 coll( U, Y, T ), eqratio( U, X, X, Z, U, Y, Y, T ) }.
% 3.71/4.10 (20188) {G0,W9,D2,L2,V3,M2} { ! para( X, Y, X, Z ), coll( X, Y, Z ) }.
% 3.71/4.10 (20189) {G0,W13,D2,L3,V3,M3} { ! cong( X, Y, X, Z ), ! coll( X, Y, Z ),
% 3.71/4.10 midp( X, Y, Z ) }.
% 3.71/4.10 (20190) {G0,W9,D2,L2,V3,M2} { ! midp( X, Y, Z ), cong( X, Y, X, Z ) }.
% 3.71/4.10 (20191) {G0,W8,D2,L2,V3,M2} { ! midp( X, Y, Z ), coll( X, Y, Z ) }.
% 3.71/4.10 (20192) {G0,W17,D2,L3,V6,M3} { ! midp( U, X, Y ), ! midp( W, Z, T ),
% 3.71/4.10 eqratio( U, X, X, Y, W, Z, Z, T ) }.
% 3.71/4.10 (20193) {G0,W19,D2,L3,V4,M3} { ! eqangle( X, Y, Z, T, Z, T, X, Y ), para(
% 3.71/4.10 X, Y, Z, T ), perp( X, Y, Z, T ) }.
% 3.71/4.10 (20194) {G0,W19,D2,L3,V4,M3} { ! eqangle( X, Y, Z, T, Z, T, X, Y ), perp(
% 3.71/4.10 X, Y, Z, T ), para( X, Y, Z, T ) }.
% 3.71/4.10 (20195) {G0,W19,D2,L3,V8,M3} { ! eqangle( X, Y, Z, T, U, W, V0, V1 ), !
% 3.71/4.10 para( U, W, V0, V1 ), para( X, Y, Z, T ) }.
% 3.71/4.10 (20196) {G0,W19,D2,L3,V8,M3} { ! eqangle( X, Y, Z, T, U, W, V0, V1 ), !
% 3.71/4.10 perp( U, W, V0, V1 ), perp( X, Y, Z, T ) }.
% 3.71/4.10 (20197) {G0,W19,D2,L3,V8,M3} { ! eqratio( X, Y, Z, T, U, W, V0, V1 ), !
% 3.71/4.10 cong( U, W, V0, V1 ), cong( X, Y, Z, T ) }.
% 3.71/4.10 (20198) {G0,W22,D3,L3,V6,M3} { ! perp( Z, Y, Y, X ), ! eqangle( T, Z, Y, Z
% 3.71/4.10 , Y, Z, X, Z ), coll( skol1( U, W, Z, T ), Z, T ) }.
% 3.71/4.10 (20199) {G0,W22,D3,L3,V4,M3} { ! perp( Z, Y, Y, X ), ! eqangle( T, Z, Y, Z
% 3.71/4.10 , Y, Z, X, Z ), coll( skol1( X, Y, Z, T ), X, Y ) }.
% 3.71/4.10 (20200) {G0,W22,D3,L3,V6,M3} { ! cong( Z, X, Z, Y ), ! eqangle( X, Z, Z, T
% 3.71/4.10 , Z, T, Z, Y ), coll( skol2( U, W, Z, T ), Z, T ) }.
% 3.71/4.10 (20201) {G0,W22,D3,L3,V4,M3} { ! cong( Z, X, Z, Y ), ! eqangle( X, Z, Z, T
% 3.71/4.10 , Z, T, Z, Y ), coll( Y, X, skol2( X, Y, Z, T ) ) }.
% 3.71/4.10 (20202) {G0,W22,D3,L3,V6,M3} { ! perp( Z, T, X, Y ), ! eqangle( X, Z, Z, T
% 3.71/4.10 , Z, T, Z, Y ), coll( skol3( U, W, Z, T ), Z, T ) }.
% 3.71/4.10 (20203) {G0,W22,D3,L3,V4,M3} { ! perp( Z, T, X, Y ), ! eqangle( X, Z, Z, T
% 3.71/4.10 , Z, T, Z, Y ), coll( Y, X, skol3( X, Y, Z, T ) ) }.
% 3.71/4.10 (20204) {G0,W18,D3,L3,V6,M3} { ! perp( Z, T, X, Y ), ! cong( Z, X, Z, Y )
% 3.71/4.10 , coll( skol4( U, W, Z, T ), Z, T ) }.
% 3.71/4.10 (20205) {G0,W18,D3,L3,V4,M3} { ! perp( Z, T, X, Y ), ! cong( Z, X, Z, Y )
% 3.71/4.10 , coll( Y, X, skol4( X, Y, Z, T ) ) }.
% 3.71/4.10 (20206) {G0,W22,D3,L3,V6,M3} { ! eqangle( X, Z, Y, Z, X, T, Y, U ), coll(
% 3.71/4.10 X, Y, Z ), cyclic( T, Y, Z, skol5( W, Y, Z, T ) ) }.
% 3.71/4.10 (20207) {G0,W30,D3,L3,V5,M3} { ! eqangle( X, Z, Y, Z, X, T, Y, U ), coll(
% 3.71/4.10 X, Y, Z ), eqangle( X, Z, Y, Z, X, skol5( X, Y, Z, T ), Y, skol5( X, Y, Z
% 3.71/4.10 , T ) ) }.
% 3.71/4.10 (20208) {G0,W18,D3,L3,V10,M3} { ! midp( U, X, Y ), ! midp( W, Z, T ), midp
% 3.71/4.10 ( skol6( X, V0, V1, T, V2, V3 ), X, T ) }.
% 3.71/4.10 (20209) {G0,W19,D3,L3,V8,M3} { ! midp( U, X, Y ), ! midp( W, Z, T ), para
% 3.71/4.10 ( skol6( X, V0, Z, T, V1, W ), W, X, Z ) }.
% 3.71/4.10 (20210) {G0,W19,D3,L3,V6,M3} { ! midp( U, X, Y ), ! midp( W, Z, T ), para
% 3.71/4.10 ( skol6( X, Y, Z, T, U, W ), U, Y, T ) }.
% 3.71/4.10 (20211) {G0,W22,D3,L5,V7,M5} { ! midp( Z, X, Y ), ! midp( W, T, U ), !
% 3.71/4.10 coll( T, X, Y ), ! coll( U, X, Y ), midp( skol7( X, V0 ), X, V0 ) }.
% 3.71/4.10 (20212) {G0,W26,D3,L5,V8,M5} { ! midp( T, X, U ), ! para( X, W, Z, T ), !
% 3.71/4.10 para( X, W, U, Y ), ! coll( W, Y, Z ), coll( skol8( V0, V1, Z, T ), T, Z
% 3.71/4.10 ) }.
% 3.71/4.10 (20213) {G0,W26,D3,L5,V6,M5} { ! midp( T, X, U ), ! para( X, W, Z, T ), !
% 3.71/4.10 para( X, W, U, Y ), ! coll( W, Y, Z ), coll( skol8( X, Y, Z, T ), X, Y )
% 3.71/4.10 }.
% 3.71/4.10 (20214) {G0,W19,D3,L3,V7,M3} { ! cong( T, Z, T, U ), ! perp( X, Y, Y, T )
% 3.71/4.10 , cong( T, Z, T, skol9( W, V0, Z, T ) ) }.
% 3.71/4.10 (20215) {G0,W19,D3,L3,V6,M3} { ! cong( T, Z, T, U ), ! perp( X, Y, Y, T )
% 3.71/4.10 , cong( Y, Z, Y, skol9( W, Y, Z, T ) ) }.
% 3.71/4.10 (20216) {G0,W19,D3,L3,V5,M3} { ! cong( T, Z, T, U ), ! perp( X, Y, Y, T )
% 3.71/4.10 , para( skol9( X, Y, Z, T ), Z, X, Y ) }.
% 3.71/4.10 (20217) {G0,W17,D3,L3,V5,M3} { ! perp( X, T, Y, Z ), ! perp( Y, T, X, Z )
% 3.71/4.10 , coll( skol10( U, Y, Z ), Z, Y ) }.
% 3.71/4.10 (20218) {G0,W18,D3,L3,V4,M3} { ! perp( X, T, Y, Z ), ! perp( Y, T, X, Z )
% 3.71/4.10 , perp( X, skol10( X, Y, Z ), Z, Y ) }.
% 3.71/4.10 (20219) {G0,W14,D2,L3,V4,M3} { ! perp( X, T, Y, Z ), ! perp( Y, T, X, Z )
% 3.71/4.10 , alpha1( X, Y, Z ) }.
% 3.71/4.10 (20220) {G0,W11,D3,L2,V4,M2} { ! alpha1( X, Y, Z ), coll( skol11( X, T, Z
% 3.71/4.10 ), Z, X ) }.
% 3.71/4.10 (20221) {G0,W12,D3,L2,V3,M2} { ! alpha1( X, Y, Z ), perp( Y, skol11( X, Y
% 3.71/4.10 , Z ), Z, X ) }.
% 3.71/4.10 (20222) {G0,W13,D2,L3,V4,M3} { ! coll( T, Z, X ), ! perp( Y, T, Z, X ),
% 3.71/4.10 alpha1( X, Y, Z ) }.
% 3.71/4.10 (20223) {G0,W12,D3,L2,V4,M2} { ! circle( Y, X, Z, T ), perp( skol12( X, Y
% 3.71/4.10 ), X, X, Y ) }.
% 3.71/4.10 (20224) {G0,W28,D3,L5,V8,M5} { ! circle( W, X, Y, Z ), ! cong( W, X, W, T
% 3.71/4.10 ), ! cong( U, X, U, Y ), W = U, alpha2( X, Z, U, skol13( X, V0, Z, V1, U
% 3.71/4.10 ) ) }.
% 3.71/4.10 (20225) {G0,W26,D3,L5,V8,M5} { ! circle( W, X, Y, Z ), ! cong( W, X, W, T
% 3.71/4.10 ), ! cong( U, X, U, Y ), W = U, coll( skol21( V0, Y, T, V1 ), Y, T ) }.
% 3.71/4.10 (20226) {G0,W27,D3,L5,V6,M5} { ! circle( W, X, Y, Z ), ! cong( W, X, W, T
% 3.71/4.10 ), ! cong( U, X, U, Y ), W = U, cong( skol21( X, Y, T, U ), U, U, X )
% 3.71/4.10 }.
% 3.71/4.10 (20227) {G0,W9,D2,L2,V4,M2} { ! alpha2( X, Y, Z, T ), coll( T, X, Y ) }.
% 3.71/4.10 (20228) {G0,W10,D2,L2,V4,M2} { ! alpha2( X, Y, Z, T ), cong( T, Z, Z, X )
% 3.71/4.10 }.
% 3.71/4.10 (20229) {G0,W14,D2,L3,V4,M3} { ! coll( T, X, Y ), ! cong( T, Z, Z, X ),
% 3.71/4.10 alpha2( X, Y, Z, T ) }.
% 3.71/4.10 (20230) {G0,W22,D3,L4,V5,M4} { ! cyclic( X, Y, Z, T ), ! para( X, Y, Z, T
% 3.71/4.10 ), ! midp( U, X, Y ), circle( skol14( X, Y, Z ), X, Y, Z ) }.
% 3.71/4.10 (20231) {G0,W18,D3,L3,V4,M3} { ! perp( X, Z, Z, Y ), ! cyclic( X, Y, Z, T
% 3.71/4.10 ), circle( skol15( X, Y, Z ), X, Y, Z ) }.
% 3.71/4.10 (20232) {G0,W16,D3,L3,V6,M3} { ! perp( X, U, U, T ), ! coll( T, Y, Z ),
% 3.71/4.10 coll( skol16( W, Y, Z ), Y, Z ) }.
% 3.71/4.10 (20233) {G0,W17,D3,L3,V5,M3} { ! perp( X, U, U, T ), ! coll( T, Y, Z ),
% 3.71/4.10 perp( skol16( X, Y, Z ), X, Y, Z ) }.
% 3.71/4.10 (20234) {G0,W20,D3,L4,V5,M4} { ! perp( X, Z, X, Y ), ! perp( Y, X, Y, T )
% 3.71/4.10 , ! midp( U, Z, T ), midp( skol17( X, Y ), X, Y ) }.
% 3.71/4.10 (20235) {G0,W16,D3,L3,V3,M3} { ! cong( Y, X, Y, Z ), ! perp( X, Y, Y, Z )
% 3.71/4.10 , coll( X, Y, skol18( X, Y ) ) }.
% 3.71/4.10 (20236) {G0,W17,D3,L3,V3,M3} { ! cong( Y, X, Y, Z ), ! perp( X, Y, Y, Z )
% 3.71/4.10 , cong( Y, X, Y, skol18( X, Y ) ) }.
% 3.71/4.10 (20237) {G0,W25,D3,L5,V8,M5} { ! para( U, W, X, Y ), ! coll( Z, U, X ), !
% 3.71/4.10 coll( Z, W, Y ), ! coll( T, U, W ), coll( Z, T, skol19( V0, V1, Z, T ) )
% 3.71/4.10 }.
% 3.71/4.10 (20238) {G0,W25,D3,L5,V6,M5} { ! para( U, W, X, Y ), ! coll( Z, U, X ), !
% 3.71/4.10 coll( Z, W, Y ), ! coll( T, U, W ), coll( skol19( X, Y, Z, T ), X, Y )
% 3.71/4.10 }.
% 3.71/4.10 (20239) {G0,W9,D2,L1,V0,M1} { eqangle( skol28, skol25, skol25, skol26,
% 3.71/4.10 skol28, skol25, skol25, skol27 ) }.
% 3.71/4.10 (20240) {G0,W9,D2,L1,V0,M1} { eqangle( skol28, skol26, skol26, skol27,
% 3.71/4.10 skol28, skol26, skol26, skol25 ) }.
% 3.71/4.10 (20241) {G0,W9,D2,L1,V0,M1} { eqangle( skol28, skol27, skol27, skol25,
% 3.71/4.10 skol28, skol27, skol27, skol26 ) }.
% 3.71/4.10 (20242) {G0,W5,D2,L1,V0,M1} { perp( skol20, skol25, skol26, skol27 ) }.
% 3.71/4.10 (20243) {G0,W4,D2,L1,V0,M1} { coll( skol20, skol26, skol27 ) }.
% 3.71/4.10 (20244) {G0,W5,D2,L1,V0,M1} { perp( skol22, skol26, skol25, skol28 ) }.
% 3.71/4.10 (20245) {G0,W4,D2,L1,V0,M1} { coll( skol22, skol25, skol28 ) }.
% 3.71/4.10 (20246) {G0,W5,D2,L1,V0,M1} { perp( skol23, skol27, skol25, skol28 ) }.
% 3.71/4.10 (20247) {G0,W4,D2,L1,V0,M1} { coll( skol23, skol25, skol28 ) }.
% 3.71/4.10 (20248) {G0,W4,D2,L1,V0,M1} { midp( skol24, skol27, skol26 ) }.
% 3.71/4.10 (20249) {G0,W5,D2,L1,V0,M1} { ! cyclic( skol20, skol22, skol23, skol24 )
% 3.71/4.10 }.
% 3.71/4.10
% 3.71/4.10
% 3.71/4.10 Total Proof:
% 3.71/4.10
% 3.71/4.10 subsumption: (0) {G0,W8,D2,L2,V3,M2} I { ! coll( X, Y, Z ), coll( X, Z, Y )
% 3.71/4.10 }.
% 3.71/4.10 parent0: (20122) {G0,W8,D2,L2,V3,M2} { ! coll( X, Y, Z ), coll( X, Z, Y )
% 3.71/4.10 }.
% 3.71/4.10 substitution0:
% 3.71/4.10 X := X
% 3.71/4.10 Y := Y
% 3.71/4.10 Z := Z
% 3.71/4.10 end
% 3.71/4.10 permutation0:
% 3.71/4.10 0 ==> 0
% 3.71/4.10 1 ==> 1
% 3.71/4.10 end
% 3.71/4.10
% 3.71/4.10 subsumption: (1) {G0,W8,D2,L2,V3,M2} I { ! coll( X, Y, Z ), coll( Y, X, Z )
% 3.71/4.10 }.
% 3.71/4.10 parent0: (20123) {G0,W8,D2,L2,V3,M2} { ! coll( X, Y, Z ), coll( Y, X, Z )
% 3.71/4.10 }.
% 3.71/4.10 substitution0:
% 3.71/4.10 X := X
% 3.71/4.10 Y := Y
% 3.71/4.10 Z := Z
% 3.71/4.10 end
% 3.71/4.10 permutation0:
% 3.71/4.10 0 ==> 0
% 3.71/4.10 1 ==> 1
% 3.71/4.10 end
% 3.71/4.10
% 3.71/4.10 subsumption: (2) {G0,W12,D2,L3,V4,M3} I { ! coll( X, T, Y ), ! coll( X, T,
% 3.71/4.10 Z ), coll( Y, Z, X ) }.
% 3.71/4.10 parent0: (20124) {G0,W12,D2,L3,V4,M3} { ! coll( X, T, Y ), ! coll( X, T, Z
% 3.71/4.10 ), coll( Y, Z, X ) }.
% 3.71/4.10 substitution0:
% 3.71/4.10 X := X
% 3.71/4.10 Y := Y
% 3.71/4.10 Z := Z
% 3.71/4.10 T := T
% 3.71/4.10 end
% 3.71/4.10 permutation0:
% 3.71/4.10 0 ==> 0
% 3.71/4.10 1 ==> 1
% 3.71/4.10 2 ==> 2
% 3.71/4.10 end
% 3.71/4.10
% 3.71/4.10 subsumption: (6) {G0,W10,D2,L2,V4,M2} I { ! perp( X, Y, Z, T ), perp( X, Y
% 3.71/4.10 , T, Z ) }.
% 3.71/4.10 parent0: (20128) {G0,W10,D2,L2,V4,M2} { ! perp( X, Y, Z, T ), perp( X, Y,
% 3.71/4.10 T, Z ) }.
% 3.71/4.10 substitution0:
% 3.71/4.10 X := X
% 3.71/4.10 Y := Y
% 3.71/4.10 Z := Z
% 3.71/4.10 T := T
% 3.71/4.10 end
% 3.71/4.10 permutation0:
% 3.71/4.10 0 ==> 0
% 3.71/4.10 1 ==> 1
% 3.71/4.10 end
% 3.71/4.10
% 3.71/4.10 subsumption: (7) {G0,W10,D2,L2,V4,M2} I { ! perp( X, Y, Z, T ), perp( Z, T
% 3.71/4.10 , X, Y ) }.
% 3.71/4.10 parent0: (20129) {G0,W10,D2,L2,V4,M2} { ! perp( X, Y, Z, T ), perp( Z, T,
% 3.71/4.10 X, Y ) }.
% 3.71/4.10 substitution0:
% 3.71/4.10 X := X
% 3.71/4.10 Y := Y
% 3.71/4.10 Z := Z
% 3.71/4.10 T := T
% 3.71/4.10 end
% 3.71/4.10 permutation0:
% 3.71/4.10 0 ==> 0
% 3.71/4.10 1 ==> 1
% 3.71/4.10 end
% 3.71/4.10
% 3.71/4.10 subsumption: (8) {G0,W15,D2,L3,V6,M3} I { ! perp( X, Y, U, W ), ! perp( U,
% 3.71/4.10 W, Z, T ), para( X, Y, Z, T ) }.
% 3.71/4.10 parent0: (20130) {G0,W15,D2,L3,V6,M3} { ! perp( X, Y, U, W ), ! perp( U, W
% 3.71/4.10 , Z, T ), para( X, Y, Z, T ) }.
% 3.71/4.10 substitution0:
% 3.71/4.10 X := X
% 3.71/4.10 Y := Y
% 3.71/4.10 Z := Z
% 3.71/4.10 T := T
% 3.71/4.10 U := U
% 3.71/4.10 W := W
% 3.71/4.10 end
% 3.71/4.10 permutation0:
% 3.71/4.10 0 ==> 0
% 3.71/4.10 1 ==> 1
% 3.71/4.10 2 ==> 2
% 3.71/4.10 end
% 3.71/4.10
% 3.71/4.10 subsumption: (10) {G0,W8,D2,L2,V3,M2} I { ! midp( Z, Y, X ), midp( Z, X, Y
% 3.71/4.10 ) }.
% 3.71/4.10 parent0: (20132) {G0,W8,D2,L2,V3,M2} { ! midp( Z, Y, X ), midp( Z, X, Y )
% 3.71/4.10 }.
% 3.71/4.10 substitution0:
% 3.71/4.10 X := X
% 3.71/4.10 Y := Y
% 3.71/4.10 Z := Z
% 3.71/4.10 end
% 3.71/4.10 permutation0:
% 3.71/4.10 0 ==> 0
% 3.71/4.10 1 ==> 1
% 3.71/4.10 end
% 3.71/4.10
% 3.71/4.10 subsumption: (11) {G0,W15,D2,L3,V4,M3} I { ! cong( T, X, T, Y ), ! cong( T
% 3.71/4.10 , X, T, Z ), circle( T, X, Y, Z ) }.
% 3.71/4.10 parent0: (20133) {G0,W15,D2,L3,V4,M3} { ! cong( T, X, T, Y ), ! cong( T, X
% 3.71/4.10 , T, Z ), circle( T, X, Y, Z ) }.
% 3.71/4.10 substitution0:
% 3.71/4.10 X := X
% 3.71/4.10 Y := Y
% 3.71/4.10 Z := Z
% 3.71/4.10 T := T
% 3.71/4.10 end
% 3.71/4.10 permutation0:
% 3.71/4.10 0 ==> 0
% 3.71/4.10 1 ==> 1
% 3.71/4.10 2 ==> 2
% 3.71/4.10 end
% 3.71/4.10
% 3.71/4.10 subsumption: (13) {G0,W10,D2,L2,V4,M2} I { ! cyclic( X, Y, Z, T ), cyclic(
% 3.71/4.10 X, Y, T, Z ) }.
% 3.71/4.10 parent0: (20135) {G0,W10,D2,L2,V4,M2} { ! cyclic( X, Y, Z, T ), cyclic( X
% 3.71/4.10 , Y, T, Z ) }.
% 3.71/4.10 substitution0:
% 3.71/4.10 X := X
% 3.71/4.10 Y := Y
% 3.71/4.10 Z := Z
% 3.71/4.10 T := T
% 3.71/4.10 end
% 3.71/4.10 permutation0:
% 3.71/4.10 0 ==> 0
% 3.71/4.10 1 ==> 1
% 3.71/4.10 end
% 3.71/4.10
% 3.71/4.10 subsumption: (14) {G0,W10,D2,L2,V4,M2} I { ! cyclic( X, Y, Z, T ), cyclic(
% 3.71/4.10 X, Z, Y, T ) }.
% 3.71/4.10 parent0: (20136) {G0,W10,D2,L2,V4,M2} { ! cyclic( X, Y, Z, T ), cyclic( X
% 3.71/4.10 , Z, Y, T ) }.
% 3.71/4.10 substitution0:
% 3.71/4.10 X := X
% 3.71/4.10 Y := Y
% 3.71/4.10 Z := Z
% 3.71/4.10 T := T
% 3.71/4.10 end
% 3.71/4.10 permutation0:
% 3.71/4.10 0 ==> 0
% 3.71/4.10 1 ==> 1
% 3.71/4.10 end
% 3.71/4.10
% 3.71/4.10 subsumption: (15) {G0,W10,D2,L2,V4,M2} I { ! cyclic( X, Y, Z, T ), cyclic(
% 3.71/4.10 Y, X, Z, T ) }.
% 3.71/4.10 parent0: (20137) {G0,W10,D2,L2,V4,M2} { ! cyclic( X, Y, Z, T ), cyclic( Y
% 3.71/4.10 , X, Z, T ) }.
% 3.71/4.10 substitution0:
% 3.71/4.10 X := X
% 3.71/4.10 Y := Y
% 3.71/4.10 Z := Z
% 3.71/4.10 T := T
% 3.71/4.10 end
% 3.71/4.10 permutation0:
% 3.71/4.10 0 ==> 0
% 3.71/4.10 1 ==> 1
% 3.71/4.10 end
% 3.71/4.10
% 3.71/4.10 subsumption: (16) {G0,W15,D2,L3,V5,M3} I { ! cyclic( U, X, Y, Z ), ! cyclic
% 3.71/4.10 ( U, X, Y, T ), cyclic( X, Y, Z, T ) }.
% 3.71/4.10 parent0: (20138) {G0,W15,D2,L3,V5,M3} { ! cyclic( U, X, Y, Z ), ! cyclic(
% 3.71/4.10 U, X, Y, T ), cyclic( X, Y, Z, T ) }.
% 3.71/4.10 substitution0:
% 3.71/4.10 X := X
% 3.71/4.10 Y := Y
% 3.71/4.10 Z := Z
% 3.71/4.10 T := T
% 3.71/4.10 U := U
% 3.71/4.10 end
% 3.71/4.10 permutation0:
% 3.71/4.10 0 ==> 0
% 3.71/4.10 1 ==> 1
% 3.71/4.10 2 ==> 2
% 3.71/4.10 end
% 3.71/4.10
% 3.71/4.10 subsumption: (39) {G0,W14,D2,L2,V6,M2} I { ! para( X, Y, Z, T ), eqangle( X
% 3.71/4.10 , Y, U, W, Z, T, U, W ) }.
% 3.71/4.10 parent0: (20161) {G0,W14,D2,L2,V6,M2} { ! para( X, Y, Z, T ), eqangle( X,
% 3.71/4.10 Y, U, W, Z, T, U, W ) }.
% 3.71/4.10 substitution0:
% 3.71/4.10 X := X
% 3.71/4.10 Y := Y
% 3.71/4.10 Z := Z
% 3.71/4.10 T := T
% 3.71/4.10 U := U
% 3.71/4.10 W := W
% 3.71/4.10 end
% 3.71/4.10 permutation0:
% 3.71/4.10 0 ==> 0
% 3.71/4.10 1 ==> 1
% 3.71/4.10 end
% 3.71/4.10
% 3.71/4.10 subsumption: (42) {G0,W18,D2,L3,V4,M3} I { ! eqangle( Z, X, Z, Y, T, X, T,
% 3.71/4.10 Y ), ! coll( Z, T, Y ), cyclic( X, Y, Z, T ) }.
% 3.71/4.10 parent0: (20164) {G0,W18,D2,L3,V4,M3} { ! eqangle( Z, X, Z, Y, T, X, T, Y
% 3.71/4.10 ), ! coll( Z, T, Y ), cyclic( X, Y, Z, T ) }.
% 3.71/4.10 substitution0:
% 3.71/4.10 X := X
% 3.71/4.10 Y := Y
% 3.71/4.10 Z := Z
% 3.71/4.10 T := T
% 3.71/4.10 end
% 3.71/4.10 permutation0:
% 3.71/4.10 0 ==> 0
% 3.71/4.10 1 ==> 1
% 3.71/4.10 2 ==> 2
% 3.71/4.10 end
% 3.71/4.10
% 3.71/4.10 subsumption: (68) {G0,W9,D2,L2,V3,M2} I { ! midp( X, Y, Z ), cong( X, Y, X
% 3.71/4.10 , Z ) }.
% 3.71/4.10 parent0: (20190) {G0,W9,D2,L2,V3,M2} { ! midp( X, Y, Z ), cong( X, Y, X, Z
% 3.71/4.10 ) }.
% 3.71/4.10 substitution0:
% 3.71/4.10 X := X
% 3.71/4.10 Y := Y
% 3.71/4.10 Z := Z
% 3.71/4.10 end
% 3.71/4.10 permutation0:
% 3.71/4.10 0 ==> 0
% 3.71/4.10 1 ==> 1
% 3.71/4.10 end
% 3.71/4.10
% 3.71/4.10 subsumption: (69) {G0,W8,D2,L2,V3,M2} I { ! midp( X, Y, Z ), coll( X, Y, Z
% 3.71/4.10 ) }.
% 3.71/4.10 parent0: (20191) {G0,W8,D2,L2,V3,M2} { ! midp( X, Y, Z ), coll( X, Y, Z )
% 3.71/4.10 }.
% 3.71/4.10 substitution0:
% 3.71/4.10 X := X
% 3.71/4.10 Y := Y
% 3.71/4.10 Z := Z
% 3.71/4.10 end
% 3.71/4.10 permutation0:
% 3.71/4.10 0 ==> 0
% 3.71/4.10 1 ==> 1
% 3.71/4.10 end
% 3.71/4.10
% 3.71/4.10 subsumption: (88) {G0,W22,D3,L5,V7,M5} I { ! midp( Z, X, Y ), ! midp( W, T
% 3.71/4.10 , U ), ! coll( T, X, Y ), ! coll( U, X, Y ), midp( skol7( X, V0 ), X, V0
% 3.71/4.10 ) }.
% 3.71/4.10 parent0: (20211) {G0,W22,D3,L5,V7,M5} { ! midp( Z, X, Y ), ! midp( W, T, U
% 3.71/4.10 ), ! coll( T, X, Y ), ! coll( U, X, Y ), midp( skol7( X, V0 ), X, V0 )
% 3.71/4.10 }.
% 3.71/4.10 substitution0:
% 3.71/4.10 X := X
% 3.71/4.10 Y := Y
% 3.71/4.10 Z := Z
% 3.71/4.10 T := T
% 3.71/4.10 U := U
% 3.71/4.10 W := W
% 3.71/4.10 V0 := V0
% 3.71/4.10 end
% 3.71/4.10 permutation0:
% 3.71/4.10 0 ==> 0
% 3.71/4.10 1 ==> 1
% 3.71/4.10 2 ==> 2
% 3.71/4.10 3 ==> 3
% 3.71/4.10 4 ==> 4
% 3.71/4.10 end
% 3.71/4.10
% 3.71/4.10 subsumption: (95) {G0,W18,D3,L3,V4,M3} I { ! perp( X, T, Y, Z ), ! perp( Y
% 3.71/4.10 , T, X, Z ), perp( X, skol10( X, Y, Z ), Z, Y ) }.
% 3.71/4.10 parent0: (20218) {G0,W18,D3,L3,V4,M3} { ! perp( X, T, Y, Z ), ! perp( Y, T
% 3.71/4.10 , X, Z ), perp( X, skol10( X, Y, Z ), Z, Y ) }.
% 3.71/4.10 substitution0:
% 3.71/4.10 X := X
% 3.71/4.10 Y := Y
% 3.71/4.10 Z := Z
% 3.71/4.10 T := T
% 3.71/4.10 end
% 3.71/4.10 permutation0:
% 3.71/4.10 0 ==> 0
% 3.71/4.10 1 ==> 1
% 3.71/4.10 2 ==> 2
% 3.71/4.10 end
% 3.71/4.10
% 3.71/4.10 subsumption: (100) {G0,W12,D3,L2,V4,M2} I { ! circle( Y, X, Z, T ), perp(
% 3.71/4.10 skol12( X, Y ), X, X, Y ) }.
% 3.71/4.10 parent0: (20223) {G0,W12,D3,L2,V4,M2} { ! circle( Y, X, Z, T ), perp(
% 3.71/4.10 skol12( X, Y ), X, X, Y ) }.
% 3.71/4.10 substitution0:
% 3.71/4.10 X := X
% 3.71/4.10 Y := Y
% 3.71/4.10 Z := Z
% 3.71/4.10 T := T
% 3.71/4.10 end
% 3.71/4.10 permutation0:
% 3.71/4.10 0 ==> 0
% 3.71/4.10 1 ==> 1
% 3.71/4.10 end
% 3.71/4.10
% 3.71/4.10 subsumption: (110) {G0,W17,D3,L3,V5,M3} I { ! perp( X, U, U, T ), ! coll( T
% 3.71/4.10 , Y, Z ), perp( skol16( X, Y, Z ), X, Y, Z ) }.
% 3.71/4.10 parent0: (20233) {G0,W17,D3,L3,V5,M3} { ! perp( X, U, U, T ), ! coll( T, Y
% 3.71/4.10 , Z ), perp( skol16( X, Y, Z ), X, Y, Z ) }.
% 3.71/4.10 substitution0:
% 3.71/4.10 X := X
% 3.71/4.10 Y := Y
% 3.71/4.10 Z := Z
% 3.71/4.10 T := T
% 3.71/4.10 U := U
% 3.71/4.10 end
% 3.71/4.10 permutation0:
% 3.71/4.10 0 ==> 0
% 3.71/4.10 1 ==> 1
% 3.71/4.10 2 ==> 2
% 3.71/4.10 end
% 3.71/4.10
% 3.71/4.10 subsumption: (125) {G0,W4,D2,L1,V0,M1} I { midp( skol24, skol27, skol26 )
% 3.71/4.10 }.
% 3.71/4.10 parent0: (20248) {G0,W4,D2,L1,V0,M1} { midp( skol24, skol27, skol26 ) }.
% 3.71/4.10 substitution0:
% 3.71/4.10 end
% 3.71/4.10 permutation0:
% 3.71/4.10 0 ==> 0
% 3.71/4.10 end
% 3.71/4.10
% 3.71/4.10 subsumption: (126) {G0,W5,D2,L1,V0,M1} I { ! cyclic( skol20, skol22, skol23
% 3.71/4.10 , skol24 ) }.
% 3.71/4.10 parent0: (20249) {G0,W5,D2,L1,V0,M1} { ! cyclic( skol20, skol22, skol23,
% 3.71/4.10 skol24 ) }.
% 3.71/4.10 substitution0:
% 3.71/4.10 end
% 3.71/4.10 permutation0:
% 3.71/4.10 0 ==> 0
% 3.71/4.10 end
% 3.71/4.10
% 3.71/4.10 factor: (20628) {G0,W10,D2,L2,V3,M2} { ! cong( X, Y, X, Z ), circle( X, Y
% 3.71/4.10 , Z, Z ) }.
% 3.71/4.10 parent0[0, 1]: (11) {G0,W15,D2,L3,V4,M3} I { ! cong( T, X, T, Y ), ! cong(
% 3.71/4.10 T, X, T, Z ), circle( T, X, Y, Z ) }.
% 3.71/4.10 substitution0:
% 3.71/4.10 X := Y
% 3.71/4.10 Y := Z
% 3.71/4.10 Z := Z
% 3.71/4.10 T := X
% 3.71/4.10 end
% 3.71/4.10
% 3.71/4.10 subsumption: (129) {G1,W10,D2,L2,V3,M2} F(11) { ! cong( X, Y, X, Z ),
% 3.71/4.10 circle( X, Y, Z, Z ) }.
% 3.71/4.10 parent0: (20628) {G0,W10,D2,L2,V3,M2} { ! cong( X, Y, X, Z ), circle( X, Y
% 3.71/4.10 , Z, Z ) }.
% 3.71/4.10 substitution0:
% 3.71/4.10 X := X
% 3.71/4.10 Y := Y
% 3.71/4.10 Z := Z
% 3.71/4.10 end
% 3.71/4.10 permutation0:
% 3.71/4.10 0 ==> 0
% 3.71/4.10 1 ==> 1
% 3.71/4.10 end
% 3.71/4.10
% 3.71/4.10 factor: (20629) {G0,W18,D3,L4,V4,M4} { ! midp( X, Y, Z ), ! coll( Y, Y, Z
% 3.71/4.10 ), ! coll( Z, Y, Z ), midp( skol7( Y, T ), Y, T ) }.
% 3.71/4.10 parent0[0, 1]: (88) {G0,W22,D3,L5,V7,M5} I { ! midp( Z, X, Y ), ! midp( W,
% 3.71/4.10 T, U ), ! coll( T, X, Y ), ! coll( U, X, Y ), midp( skol7( X, V0 ), X, V0
% 3.71/4.10 ) }.
% 3.71/4.10 substitution0:
% 3.71/4.10 X := Y
% 3.71/4.10 Y := Z
% 3.71/4.10 Z := X
% 3.71/4.10 T := Y
% 3.71/4.10 U := Z
% 3.71/4.10 W := X
% 3.71/4.10 V0 := T
% 3.71/4.10 end
% 3.71/4.10
% 3.71/4.10 subsumption: (149) {G1,W18,D3,L4,V4,M4} F(88) { ! midp( X, Y, Z ), ! coll(
% 3.71/4.10 Y, Y, Z ), ! coll( Z, Y, Z ), midp( skol7( Y, T ), Y, T ) }.
% 3.71/4.10 parent0: (20629) {G0,W18,D3,L4,V4,M4} { ! midp( X, Y, Z ), ! coll( Y, Y, Z
% 3.71/4.10 ), ! coll( Z, Y, Z ), midp( skol7( Y, T ), Y, T ) }.
% 3.71/4.10 substitution0:
% 3.71/4.10 X := X
% 3.71/4.10 Y := Y
% 3.71/4.10 Z := Z
% 3.71/4.10 T := T
% 3.71/4.10 end
% 3.71/4.10 permutation0:
% 3.71/4.10 0 ==> 0
% 3.71/4.10 1 ==> 1
% 3.71/4.10 2 ==> 2
% 3.71/4.10 3 ==> 3
% 3.71/4.10 end
% 3.71/4.10
% 3.71/4.10 factor: (20632) {G0,W13,D3,L2,V3,M2} { ! perp( X, Y, X, Z ), perp( X,
% 3.71/4.10 skol10( X, X, Z ), Z, X ) }.
% 3.71/4.10 parent0[0, 1]: (95) {G0,W18,D3,L3,V4,M3} I { ! perp( X, T, Y, Z ), ! perp(
% 3.71/4.10 Y, T, X, Z ), perp( X, skol10( X, Y, Z ), Z, Y ) }.
% 3.71/4.10 substitution0:
% 3.71/4.10 X := X
% 3.71/4.10 Y := X
% 3.71/4.10 Z := Z
% 3.71/4.10 T := Y
% 3.71/4.10 end
% 3.71/4.10
% 3.71/4.10 subsumption: (155) {G1,W13,D3,L2,V3,M2} F(95) { ! perp( X, Y, X, Z ), perp
% 3.71/4.10 ( X, skol10( X, X, Z ), Z, X ) }.
% 3.71/4.10 parent0: (20632) {G0,W13,D3,L2,V3,M2} { ! perp( X, Y, X, Z ), perp( X,
% 3.71/4.10 skol10( X, X, Z ), Z, X ) }.
% 3.71/4.10 substitution0:
% 3.71/4.10 X := X
% 3.71/4.10 Y := Y
% 3.71/4.10 Z := Z
% 3.71/4.10 end
% 3.71/4.10 permutation0:
% 3.71/4.10 0 ==> 0
% 3.71/4.10 1 ==> 1
% 3.71/4.10 end
% 3.71/4.10
% 3.71/4.10 resolution: (20633) {G1,W8,D2,L2,V3,M2} { coll( Y, X, Z ), ! coll( X, Z, Y
% 3.71/4.10 ) }.
% 3.71/4.10 parent0[0]: (1) {G0,W8,D2,L2,V3,M2} I { ! coll( X, Y, Z ), coll( Y, X, Z )
% 3.71/4.10 }.
% 3.71/4.10 parent1[1]: (0) {G0,W8,D2,L2,V3,M2} I { ! coll( X, Y, Z ), coll( X, Z, Y )
% 3.71/4.10 }.
% 3.71/4.10 substitution0:
% 3.71/4.10 X := X
% 3.71/4.10 Y := Y
% 3.71/4.10 Z := Z
% 3.71/4.10 end
% 3.71/4.10 substitution1:
% 3.71/4.10 X := X
% 3.71/4.10 Y := Z
% 3.71/4.10 Z := Y
% 3.71/4.10 end
% 3.71/4.10
% 3.71/4.10 subsumption: (170) {G1,W8,D2,L2,V3,M2} R(1,0) { coll( X, Y, Z ), ! coll( Y
% 3.71/4.10 , Z, X ) }.
% 3.71/4.10 parent0: (20633) {G1,W8,D2,L2,V3,M2} { coll( Y, X, Z ), ! coll( X, Z, Y )
% 3.71/4.10 }.
% 3.71/4.10 substitution0:
% 3.71/4.10 X := Y
% 3.71/4.10 Y := X
% 3.71/4.10 Z := Z
% 3.71/4.10 end
% 3.71/4.10 permutation0:
% 3.71/4.10 0 ==> 0
% 3.71/4.10 1 ==> 1
% 3.71/4.10 end
% 3.71/4.10
% 3.71/4.10 resolution: (20635) {G1,W8,D2,L2,V3,M2} { coll( X, Z, Y ), ! coll( Y, X, Z
% 3.71/4.10 ) }.
% 3.71/4.10 parent0[0]: (0) {G0,W8,D2,L2,V3,M2} I { ! coll( X, Y, Z ), coll( X, Z, Y )
% 3.71/4.10 }.
% 3.71/4.10 parent1[1]: (1) {G0,W8,D2,L2,V3,M2} I { ! coll( X, Y, Z ), coll( Y, X, Z )
% 3.71/4.10 }.
% 3.71/4.10 substitution0:
% 3.71/4.10 X := X
% 3.71/4.10 Y := Y
% 3.71/4.10 Z := Z
% 3.71/4.10 end
% 3.71/4.10 substitution1:
% 3.71/4.10 X := Y
% 3.71/4.10 Y := X
% 3.71/4.10 Z := Z
% 3.71/4.10 end
% 3.71/4.10
% 3.71/4.10 subsumption: (171) {G1,W8,D2,L2,V3,M2} R(1,0) { ! coll( X, Y, Z ), coll( Y
% 3.71/4.10 , Z, X ) }.
% 3.71/4.10 parent0: (20635) {G1,W8,D2,L2,V3,M2} { coll( X, Z, Y ), ! coll( Y, X, Z )
% 3.71/4.10 }.
% 3.71/4.10 substitution0:
% 3.71/4.10 X := Y
% 3.71/4.10 Y := X
% 3.71/4.10 Z := Z
% 3.71/4.10 end
% 3.71/4.10 permutation0:
% 3.71/4.10 0 ==> 1
% 3.71/4.10 1 ==> 0
% 3.71/4.10 end
% 3.71/4.10
% 3.71/4.10 resolution: (20639) {G1,W12,D2,L3,V4,M3} { coll( X, Z, Y ), ! coll( Z, T,
% 3.71/4.10 X ), ! coll( Z, T, Y ) }.
% 3.71/4.10 parent0[0]: (0) {G0,W8,D2,L2,V3,M2} I { ! coll( X, Y, Z ), coll( X, Z, Y )
% 3.71/4.10 }.
% 3.71/4.10 parent1[2]: (2) {G0,W12,D2,L3,V4,M3} I { ! coll( X, T, Y ), ! coll( X, T, Z
% 3.71/4.10 ), coll( Y, Z, X ) }.
% 3.71/4.10 substitution0:
% 3.71/4.10 X := X
% 3.71/4.10 Y := Y
% 3.71/4.10 Z := Z
% 3.71/4.10 end
% 3.71/4.10 substitution1:
% 3.71/4.10 X := Z
% 3.71/4.10 Y := X
% 3.71/4.10 Z := Y
% 3.71/4.10 T := T
% 3.71/4.10 end
% 3.71/4.10
% 3.71/4.10 subsumption: (198) {G1,W12,D2,L3,V4,M3} R(2,0) { ! coll( X, Y, Z ), ! coll
% 3.71/4.10 ( X, Y, T ), coll( Z, X, T ) }.
% 3.71/4.10 parent0: (20639) {G1,W12,D2,L3,V4,M3} { coll( X, Z, Y ), ! coll( Z, T, X )
% 3.71/4.10 , ! coll( Z, T, Y ) }.
% 3.71/4.10 substitution0:
% 3.71/4.10 X := Z
% 3.71/4.10 Y := T
% 3.71/4.10 Z := X
% 3.71/4.10 T := Y
% 3.71/4.10 end
% 3.71/4.10 permutation0:
% 3.71/4.10 0 ==> 2
% 3.71/4.10 1 ==> 0
% 3.71/4.10 2 ==> 1
% 3.71/4.10 end
% 3.71/4.10
% 3.71/4.10 factor: (20641) {G1,W8,D2,L2,V3,M2} { ! coll( X, Y, Z ), coll( Z, X, Z )
% 3.71/4.10 }.
% 3.71/4.10 parent0[0, 1]: (198) {G1,W12,D2,L3,V4,M3} R(2,0) { ! coll( X, Y, Z ), !
% 3.71/4.10 coll( X, Y, T ), coll( Z, X, T ) }.
% 3.71/4.10 substitution0:
% 3.71/4.10 X := X
% 3.71/4.10 Y := Y
% 3.71/4.10 Z := Z
% 3.71/4.10 T := Z
% 3.71/4.10 end
% 3.71/4.10
% 3.71/4.10 subsumption: (205) {G2,W8,D2,L2,V3,M2} F(198) { ! coll( X, Y, Z ), coll( Z
% 3.71/4.10 , X, Z ) }.
% 3.71/4.10 parent0: (20641) {G1,W8,D2,L2,V3,M2} { ! coll( X, Y, Z ), coll( Z, X, Z )
% 3.71/4.10 }.
% 3.71/4.10 substitution0:
% 3.71/4.10 X := X
% 3.71/4.10 Y := Y
% 3.71/4.10 Z := Z
% 3.71/4.10 end
% 3.71/4.10 permutation0:
% 3.71/4.10 0 ==> 0
% 3.71/4.10 1 ==> 1
% 3.71/4.10 end
% 3.71/4.10
% 3.71/4.10 resolution: (20642) {G1,W12,D2,L3,V4,M3} { coll( Z, X, Z ), ! coll( Z, T,
% 3.71/4.10 X ), ! coll( Z, T, Y ) }.
% 3.71/4.10 parent0[0]: (205) {G2,W8,D2,L2,V3,M2} F(198) { ! coll( X, Y, Z ), coll( Z,
% 3.71/4.10 X, Z ) }.
% 3.71/4.10 parent1[2]: (2) {G0,W12,D2,L3,V4,M3} I { ! coll( X, T, Y ), ! coll( X, T, Z
% 3.71/4.10 ), coll( Y, Z, X ) }.
% 3.71/4.10 substitution0:
% 3.71/4.10 X := X
% 3.71/4.10 Y := Y
% 3.71/4.10 Z := Z
% 3.71/4.10 end
% 3.71/4.10 substitution1:
% 3.71/4.10 X := Z
% 3.71/4.10 Y := X
% 3.71/4.10 Z := Y
% 3.71/4.10 T := T
% 3.71/4.10 end
% 3.71/4.10
% 3.71/4.10 subsumption: (237) {G3,W12,D2,L3,V4,M3} R(205,2) { coll( X, Y, X ), ! coll
% 3.71/4.10 ( X, Z, Y ), ! coll( X, Z, T ) }.
% 3.71/4.10 parent0: (20642) {G1,W12,D2,L3,V4,M3} { coll( Z, X, Z ), ! coll( Z, T, X )
% 3.71/4.10 , ! coll( Z, T, Y ) }.
% 3.71/4.10 substitution0:
% 3.71/4.10 X := Y
% 3.71/4.10 Y := Y
% 3.71/4.10 Z := X
% 3.71/4.10 T := Z
% 3.71/4.10 end
% 3.71/4.10 permutation0:
% 3.71/4.10 0 ==> 0
% 3.71/4.10 1 ==> 1
% 3.71/4.10 2 ==> 1
% 3.71/4.10 end
% 3.71/4.10
% 3.71/4.10 factor: (20644) {G3,W8,D2,L2,V3,M2} { coll( X, Y, X ), ! coll( X, Z, Y )
% 3.71/4.10 }.
% 3.71/4.10 parent0[1, 2]: (237) {G3,W12,D2,L3,V4,M3} R(205,2) { coll( X, Y, X ), !
% 3.75/4.10 coll( X, Z, Y ), ! coll( X, Z, T ) }.
% 3.75/4.10 substitution0:
% 3.75/4.10 X := X
% 3.75/4.10 Y := Y
% 3.75/4.10 Z := Z
% 3.75/4.10 T := Y
% 3.75/4.10 end
% 3.75/4.10
% 3.75/4.10 subsumption: (251) {G4,W8,D2,L2,V3,M2} F(237) { coll( X, Y, X ), ! coll( X
% 3.75/4.10 , Z, Y ) }.
% 3.75/4.10 parent0: (20644) {G3,W8,D2,L2,V3,M2} { coll( X, Y, X ), ! coll( X, Z, Y )
% 3.75/4.10 }.
% 3.75/4.10 substitution0:
% 3.75/4.10 X := X
% 3.75/4.10 Y := Y
% 3.75/4.10 Z := Z
% 3.75/4.10 end
% 3.75/4.10 permutation0:
% 3.75/4.10 0 ==> 0
% 3.75/4.10 1 ==> 1
% 3.75/4.10 end
% 3.75/4.10
% 3.75/4.10 resolution: (20646) {G1,W15,D2,L3,V6,M3} { ! perp( X, Y, Z, T ), para( X,
% 3.75/4.10 Y, U, W ), ! perp( U, W, Z, T ) }.
% 3.75/4.10 parent0[1]: (8) {G0,W15,D2,L3,V6,M3} I { ! perp( X, Y, U, W ), ! perp( U, W
% 3.75/4.10 , Z, T ), para( X, Y, Z, T ) }.
% 3.75/4.10 parent1[1]: (7) {G0,W10,D2,L2,V4,M2} I { ! perp( X, Y, Z, T ), perp( Z, T,
% 3.75/4.10 X, Y ) }.
% 3.75/4.10 substitution0:
% 3.75/4.10 X := X
% 3.75/4.10 Y := Y
% 3.75/4.10 Z := U
% 3.75/4.10 T := W
% 3.75/4.10 U := Z
% 3.75/4.10 W := T
% 3.75/4.10 end
% 3.75/4.10 substitution1:
% 3.75/4.10 X := U
% 3.75/4.10 Y := W
% 3.75/4.10 Z := Z
% 3.75/4.10 T := T
% 3.75/4.10 end
% 3.75/4.10
% 3.75/4.10 subsumption: (293) {G1,W15,D2,L3,V6,M3} R(8,7) { ! perp( X, Y, Z, T ), para
% 3.75/4.10 ( X, Y, U, W ), ! perp( U, W, Z, T ) }.
% 3.75/4.10 parent0: (20646) {G1,W15,D2,L3,V6,M3} { ! perp( X, Y, Z, T ), para( X, Y,
% 3.75/4.10 U, W ), ! perp( U, W, Z, T ) }.
% 3.75/4.10 substitution0:
% 3.75/4.10 X := X
% 3.75/4.10 Y := Y
% 3.75/4.10 Z := Z
% 3.75/4.10 T := T
% 3.75/4.10 U := U
% 3.75/4.10 W := W
% 3.75/4.10 end
% 3.75/4.10 permutation0:
% 3.75/4.10 0 ==> 0
% 3.75/4.10 1 ==> 1
% 3.75/4.10 2 ==> 2
% 3.75/4.10 end
% 3.75/4.10
% 3.75/4.10 factor: (20649) {G1,W10,D2,L2,V4,M2} { ! perp( X, Y, Z, T ), para( X, Y, X
% 3.75/4.10 , Y ) }.
% 3.75/4.10 parent0[0, 2]: (293) {G1,W15,D2,L3,V6,M3} R(8,7) { ! perp( X, Y, Z, T ),
% 3.75/4.10 para( X, Y, U, W ), ! perp( U, W, Z, T ) }.
% 3.75/4.10 substitution0:
% 3.75/4.10 X := X
% 3.75/4.10 Y := Y
% 3.75/4.10 Z := Z
% 3.75/4.10 T := T
% 3.75/4.10 U := X
% 3.75/4.10 W := Y
% 3.75/4.10 end
% 3.75/4.10
% 3.75/4.10 subsumption: (307) {G2,W10,D2,L2,V4,M2} F(293) { ! perp( X, Y, Z, T ), para
% 3.75/4.10 ( X, Y, X, Y ) }.
% 3.75/4.10 parent0: (20649) {G1,W10,D2,L2,V4,M2} { ! perp( X, Y, Z, T ), para( X, Y,
% 3.75/4.10 X, Y ) }.
% 3.75/4.10 substitution0:
% 3.75/4.10 X := X
% 3.75/4.10 Y := Y
% 3.75/4.10 Z := Z
% 3.75/4.10 T := T
% 3.75/4.10 end
% 3.75/4.10 permutation0:
% 3.75/4.10 0 ==> 0
% 3.75/4.10 1 ==> 1
% 3.75/4.10 end
% 3.75/4.10
% 3.75/4.10 resolution: (20650) {G1,W4,D2,L1,V0,M1} { midp( skol24, skol26, skol27 )
% 3.75/4.10 }.
% 3.75/4.10 parent0[0]: (10) {G0,W8,D2,L2,V3,M2} I { ! midp( Z, Y, X ), midp( Z, X, Y )
% 3.75/4.10 }.
% 3.75/4.10 parent1[0]: (125) {G0,W4,D2,L1,V0,M1} I { midp( skol24, skol27, skol26 )
% 3.75/4.10 }.
% 3.75/4.10 substitution0:
% 3.75/4.10 X := skol26
% 3.75/4.10 Y := skol27
% 3.75/4.10 Z := skol24
% 3.75/4.10 end
% 3.75/4.10 substitution1:
% 3.75/4.10 end
% 3.75/4.10
% 3.75/4.10 subsumption: (334) {G1,W4,D2,L1,V0,M1} R(10,125) { midp( skol24, skol26,
% 3.75/4.10 skol27 ) }.
% 3.75/4.10 parent0: (20650) {G1,W4,D2,L1,V0,M1} { midp( skol24, skol26, skol27 ) }.
% 3.75/4.10 substitution0:
% 3.75/4.10 end
% 3.75/4.10 permutation0:
% 3.75/4.10 0 ==> 0
% 3.75/4.10 end
% 3.75/4.10
% 3.75/4.10 resolution: (20652) {G1,W10,D2,L2,V4,M2} { cyclic( X, Y, T, Z ), ! cyclic
% 3.75/4.10 ( X, Z, Y, T ) }.
% 3.75/4.10 parent0[0]: (13) {G0,W10,D2,L2,V4,M2} I { ! cyclic( X, Y, Z, T ), cyclic( X
% 3.75/4.10 , Y, T, Z ) }.
% 3.75/4.10 parent1[1]: (14) {G0,W10,D2,L2,V4,M2} I { ! cyclic( X, Y, Z, T ), cyclic( X
% 3.75/4.10 , Z, Y, T ) }.
% 3.75/4.10 substitution0:
% 3.75/4.10 X := X
% 3.75/4.10 Y := Y
% 3.75/4.10 Z := Z
% 3.75/4.10 T := T
% 3.75/4.10 end
% 3.75/4.10 substitution1:
% 3.75/4.10 X := X
% 3.75/4.10 Y := Z
% 3.75/4.10 Z := Y
% 3.75/4.10 T := T
% 3.75/4.10 end
% 3.75/4.10
% 3.75/4.10 subsumption: (365) {G1,W10,D2,L2,V4,M2} R(14,13) { ! cyclic( X, Y, Z, T ),
% 3.75/4.10 cyclic( X, Z, T, Y ) }.
% 3.75/4.10 parent0: (20652) {G1,W10,D2,L2,V4,M2} { cyclic( X, Y, T, Z ), ! cyclic( X
% 3.75/4.10 , Z, Y, T ) }.
% 3.75/4.10 substitution0:
% 3.75/4.10 X := X
% 3.75/4.10 Y := Z
% 3.75/4.10 Z := Y
% 3.75/4.10 T := T
% 3.75/4.10 end
% 3.75/4.10 permutation0:
% 3.75/4.10 0 ==> 1
% 3.75/4.10 1 ==> 0
% 3.75/4.10 end
% 3.75/4.10
% 3.75/4.10 resolution: (20654) {G1,W10,D2,L2,V4,M2} { cyclic( X, Z, Y, T ), ! cyclic
% 3.75/4.10 ( Y, X, Z, T ) }.
% 3.75/4.10 parent0[0]: (14) {G0,W10,D2,L2,V4,M2} I { ! cyclic( X, Y, Z, T ), cyclic( X
% 3.75/4.10 , Z, Y, T ) }.
% 3.75/4.10 parent1[1]: (15) {G0,W10,D2,L2,V4,M2} I { ! cyclic( X, Y, Z, T ), cyclic( Y
% 3.75/4.10 , X, Z, T ) }.
% 3.75/4.10 substitution0:
% 3.75/4.10 X := X
% 3.75/4.10 Y := Y
% 3.75/4.10 Z := Z
% 3.75/4.10 T := T
% 3.75/4.10 end
% 3.75/4.10 substitution1:
% 3.75/4.10 X := Y
% 3.75/4.10 Y := X
% 3.75/4.10 Z := Z
% 3.75/4.10 T := T
% 3.75/4.10 end
% 3.75/4.10
% 3.75/4.10 subsumption: (376) {G1,W10,D2,L2,V4,M2} R(15,14) { ! cyclic( X, Y, Z, T ),
% 3.75/4.10 cyclic( Y, Z, X, T ) }.
% 3.75/4.10 parent0: (20654) {G1,W10,D2,L2,V4,M2} { cyclic( X, Z, Y, T ), ! cyclic( Y
% 3.75/4.10 , X, Z, T ) }.
% 3.75/4.10 substitution0:
% 3.75/4.10 X := Y
% 3.75/4.10 Y := X
% 3.75/4.10 Z := Z
% 3.75/4.10 T := T
% 3.75/4.10 end
% 3.75/4.10 permutation0:
% 3.75/4.10 0 ==> 1
% 3.75/4.10 1 ==> 0
% 3.75/4.10 end
% 3.75/4.10
% 3.75/4.10 resolution: (20655) {G1,W5,D2,L1,V0,M1} { ! cyclic( skol22, skol20, skol23
% 3.75/4.10 , skol24 ) }.
% 3.75/4.10 parent0[0]: (126) {G0,W5,D2,L1,V0,M1} I { ! cyclic( skol20, skol22, skol23
% 3.75/4.10 , skol24 ) }.
% 3.75/4.10 parent1[1]: (15) {G0,W10,D2,L2,V4,M2} I { ! cyclic( X, Y, Z, T ), cyclic( Y
% 3.75/4.10 , X, Z, T ) }.
% 3.75/4.10 substitution0:
% 3.75/4.10 end
% 3.75/4.10 substitution1:
% 3.75/4.10 X := skol22
% 3.75/4.10 Y := skol20
% 3.75/4.10 Z := skol23
% 3.75/4.10 T := skol24
% 3.75/4.10 end
% 3.75/4.10
% 3.75/4.10 subsumption: (379) {G1,W5,D2,L1,V0,M1} R(15,126) { ! cyclic( skol22, skol20
% 3.75/4.10 , skol23, skol24 ) }.
% 3.75/4.10 parent0: (20655) {G1,W5,D2,L1,V0,M1} { ! cyclic( skol22, skol20, skol23,
% 3.75/4.10 skol24 ) }.
% 3.75/4.10 substitution0:
% 3.75/4.10 end
% 3.75/4.10 permutation0:
% 3.75/4.10 0 ==> 0
% 3.75/4.10 end
% 3.75/4.10
% 3.75/4.10 resolution: (20657) {G1,W15,D2,L3,V5,M3} { ! cyclic( X, Y, Z, T ), cyclic
% 3.75/4.10 ( Y, Z, T, U ), ! cyclic( X, Y, U, Z ) }.
% 3.75/4.10 parent0[1]: (16) {G0,W15,D2,L3,V5,M3} I { ! cyclic( U, X, Y, Z ), ! cyclic
% 3.75/4.10 ( U, X, Y, T ), cyclic( X, Y, Z, T ) }.
% 3.75/4.10 parent1[1]: (13) {G0,W10,D2,L2,V4,M2} I { ! cyclic( X, Y, Z, T ), cyclic( X
% 3.75/4.10 , Y, T, Z ) }.
% 3.75/4.10 substitution0:
% 3.75/4.10 X := Y
% 3.75/4.10 Y := Z
% 3.75/4.10 Z := T
% 3.75/4.10 T := U
% 3.75/4.10 U := X
% 3.75/4.10 end
% 3.75/4.10 substitution1:
% 3.75/4.10 X := X
% 3.75/4.10 Y := Y
% 3.75/4.10 Z := U
% 3.75/4.10 T := Z
% 3.75/4.10 end
% 3.75/4.10
% 3.75/4.10 subsumption: (402) {G1,W15,D2,L3,V5,M3} R(16,13) { ! cyclic( X, Y, Z, T ),
% 3.75/4.10 cyclic( Y, Z, T, U ), ! cyclic( X, Y, U, Z ) }.
% 3.75/4.10 parent0: (20657) {G1,W15,D2,L3,V5,M3} { ! cyclic( X, Y, Z, T ), cyclic( Y
% 3.75/4.10 , Z, T, U ), ! cyclic( X, Y, U, Z ) }.
% 3.75/4.10 substitution0:
% 3.75/4.10 X := X
% 3.75/4.10 Y := Y
% 3.75/4.10 Z := Z
% 3.75/4.10 T := T
% 3.75/4.10 U := U
% 3.75/4.10 end
% 3.75/4.10 permutation0:
% 3.75/4.10 0 ==> 0
% 3.75/4.10 1 ==> 1
% 3.75/4.10 2 ==> 2
% 3.75/4.10 end
% 3.75/4.10
% 3.75/4.10 resolution: (20659) {G1,W5,D2,L1,V0,M1} { ! cyclic( skol22, skol23, skol20
% 3.75/4.10 , skol24 ) }.
% 3.75/4.10 parent0[0]: (379) {G1,W5,D2,L1,V0,M1} R(15,126) { ! cyclic( skol22, skol20
% 3.75/4.10 , skol23, skol24 ) }.
% 3.75/4.10 parent1[1]: (14) {G0,W10,D2,L2,V4,M2} I { ! cyclic( X, Y, Z, T ), cyclic( X
% 3.75/4.10 , Z, Y, T ) }.
% 3.75/4.10 substitution0:
% 3.75/4.10 end
% 3.75/4.10 substitution1:
% 3.75/4.10 X := skol22
% 3.75/4.10 Y := skol23
% 3.75/4.10 Z := skol20
% 3.75/4.10 T := skol24
% 3.75/4.10 end
% 3.75/4.10
% 3.75/4.10 subsumption: (434) {G2,W5,D2,L1,V0,M1} R(379,14) { ! cyclic( skol22, skol23
% 3.75/4.10 , skol20, skol24 ) }.
% 3.75/4.10 parent0: (20659) {G1,W5,D2,L1,V0,M1} { ! cyclic( skol22, skol23, skol20,
% 3.75/4.10 skol24 ) }.
% 3.75/4.10 substitution0:
% 3.75/4.10 end
% 3.75/4.10 permutation0:
% 3.75/4.10 0 ==> 0
% 3.75/4.10 end
% 3.75/4.10
% 3.75/4.10 resolution: (20660) {G1,W5,D2,L1,V0,M1} { ! cyclic( skol23, skol22, skol20
% 3.75/4.10 , skol24 ) }.
% 3.75/4.10 parent0[0]: (434) {G2,W5,D2,L1,V0,M1} R(379,14) { ! cyclic( skol22, skol23
% 3.75/4.10 , skol20, skol24 ) }.
% 3.75/4.10 parent1[1]: (15) {G0,W10,D2,L2,V4,M2} I { ! cyclic( X, Y, Z, T ), cyclic( Y
% 3.75/4.10 , X, Z, T ) }.
% 3.75/4.10 substitution0:
% 3.75/4.10 end
% 3.75/4.10 substitution1:
% 3.75/4.10 X := skol23
% 3.75/4.10 Y := skol22
% 3.75/4.10 Z := skol20
% 3.75/4.10 T := skol24
% 3.75/4.10 end
% 3.75/4.10
% 3.75/4.10 subsumption: (441) {G3,W5,D2,L1,V0,M1} R(434,15) { ! cyclic( skol23, skol22
% 3.75/4.10 , skol20, skol24 ) }.
% 3.75/4.10 parent0: (20660) {G1,W5,D2,L1,V0,M1} { ! cyclic( skol23, skol22, skol20,
% 3.75/4.10 skol24 ) }.
% 3.75/4.10 substitution0:
% 3.75/4.10 end
% 3.75/4.10 permutation0:
% 3.75/4.10 0 ==> 0
% 3.75/4.10 end
% 3.75/4.10
% 3.75/4.10 resolution: (20661) {G1,W5,D2,L1,V0,M1} { ! cyclic( skol23, skol20, skol22
% 3.75/4.10 , skol24 ) }.
% 3.75/4.10 parent0[0]: (441) {G3,W5,D2,L1,V0,M1} R(434,15) { ! cyclic( skol23, skol22
% 3.75/4.10 , skol20, skol24 ) }.
% 3.75/4.10 parent1[1]: (14) {G0,W10,D2,L2,V4,M2} I { ! cyclic( X, Y, Z, T ), cyclic( X
% 3.75/4.10 , Z, Y, T ) }.
% 3.75/4.10 substitution0:
% 3.75/4.10 end
% 3.75/4.10 substitution1:
% 3.75/4.10 X := skol23
% 3.75/4.10 Y := skol20
% 3.75/4.10 Z := skol22
% 3.75/4.10 T := skol24
% 3.75/4.10 end
% 3.75/4.10
% 3.75/4.10 subsumption: (444) {G4,W5,D2,L1,V0,M1} R(441,14) { ! cyclic( skol23, skol20
% 3.75/4.10 , skol22, skol24 ) }.
% 3.75/4.10 parent0: (20661) {G1,W5,D2,L1,V0,M1} { ! cyclic( skol23, skol20, skol22,
% 3.75/4.10 skol24 ) }.
% 3.75/4.10 substitution0:
% 3.75/4.10 end
% 3.75/4.10 permutation0:
% 3.75/4.10 0 ==> 0
% 3.75/4.10 end
% 3.75/4.10
% 3.75/4.10 resolution: (20662) {G1,W5,D2,L1,V0,M1} { ! cyclic( skol23, skol20, skol24
% 3.75/4.10 , skol22 ) }.
% 3.75/4.10 parent0[0]: (444) {G4,W5,D2,L1,V0,M1} R(441,14) { ! cyclic( skol23, skol20
% 3.75/4.10 , skol22, skol24 ) }.
% 3.75/4.10 parent1[1]: (13) {G0,W10,D2,L2,V4,M2} I { ! cyclic( X, Y, Z, T ), cyclic( X
% 3.75/4.10 , Y, T, Z ) }.
% 3.75/4.10 substitution0:
% 3.75/4.10 end
% 3.75/4.10 substitution1:
% 3.75/4.10 X := skol23
% 3.75/4.10 Y := skol20
% 3.75/4.10 Z := skol24
% 3.75/4.10 T := skol22
% 3.75/4.10 end
% 3.75/4.10
% 3.75/4.10 subsumption: (448) {G5,W5,D2,L1,V0,M1} R(444,13) { ! cyclic( skol23, skol20
% 3.75/4.10 , skol24, skol22 ) }.
% 3.75/4.10 parent0: (20662) {G1,W5,D2,L1,V0,M1} { ! cyclic( skol23, skol20, skol24,
% 3.75/4.10 skol22 ) }.
% 3.75/4.10 substitution0:
% 3.75/4.10 end
% 3.75/4.10 permutation0:
% 3.75/4.10 0 ==> 0
% 3.75/4.10 end
% 3.75/4.10
% 3.75/4.10 resolution: (20663) {G1,W5,D2,L1,V0,M1} { ! cyclic( skol20, skol23, skol24
% 3.75/4.10 , skol22 ) }.
% 3.75/4.10 parent0[0]: (448) {G5,W5,D2,L1,V0,M1} R(444,13) { ! cyclic( skol23, skol20
% 3.75/4.10 , skol24, skol22 ) }.
% 3.75/4.10 parent1[1]: (15) {G0,W10,D2,L2,V4,M2} I { ! cyclic( X, Y, Z, T ), cyclic( Y
% 3.75/4.10 , X, Z, T ) }.
% 3.75/4.10 substitution0:
% 3.75/4.10 end
% 3.75/4.10 substitution1:
% 3.75/4.10 X := skol20
% 3.75/4.10 Y := skol23
% 3.75/4.10 Z := skol24
% 3.75/4.10 T := skol22
% 3.75/4.10 end
% 3.75/4.10
% 3.75/4.10 subsumption: (449) {G6,W5,D2,L1,V0,M1} R(448,15) { ! cyclic( skol20, skol23
% 3.75/4.10 , skol24, skol22 ) }.
% 3.75/4.10 parent0: (20663) {G1,W5,D2,L1,V0,M1} { ! cyclic( skol20, skol23, skol24,
% 3.75/4.10 skol22 ) }.
% 3.75/4.10 substitution0:
% 3.75/4.10 end
% 3.75/4.10 permutation0:
% 3.75/4.10 0 ==> 0
% 3.75/4.10 end
% 3.75/4.10
% 3.75/4.10 resolution: (20664) {G1,W5,D2,L1,V0,M1} { ! cyclic( skol20, skol24, skol23
% 3.75/4.10 , skol22 ) }.
% 3.75/4.10 parent0[0]: (449) {G6,W5,D2,L1,V0,M1} R(448,15) { ! cyclic( skol20, skol23
% 3.75/4.10 , skol24, skol22 ) }.
% 3.75/4.10 parent1[1]: (14) {G0,W10,D2,L2,V4,M2} I { ! cyclic( X, Y, Z, T ), cyclic( X
% 3.75/4.10 , Z, Y, T ) }.
% 3.75/4.10 substitution0:
% 3.75/4.10 end
% 3.75/4.10 substitution1:
% 3.75/4.10 X := skol20
% 3.75/4.10 Y := skol24
% 3.75/4.10 Z := skol23
% 3.75/4.10 T := skol22
% 3.75/4.10 end
% 3.75/4.10
% 3.75/4.10 subsumption: (455) {G7,W5,D2,L1,V0,M1} R(449,14) { ! cyclic( skol20, skol24
% 3.75/4.10 , skol23, skol22 ) }.
% 3.75/4.10 parent0: (20664) {G1,W5,D2,L1,V0,M1} { ! cyclic( skol20, skol24, skol23,
% 3.75/4.10 skol22 ) }.
% 3.75/4.10 substitution0:
% 3.75/4.10 end
% 3.75/4.10 permutation0:
% 3.75/4.10 0 ==> 0
% 3.75/4.10 end
% 3.75/4.10
% 3.75/4.10 resolution: (20665) {G1,W5,D2,L1,V0,M1} { ! cyclic( skol24, skol20, skol23
% 3.75/4.10 , skol22 ) }.
% 3.75/4.10 parent0[0]: (455) {G7,W5,D2,L1,V0,M1} R(449,14) { ! cyclic( skol20, skol24
% 3.75/4.10 , skol23, skol22 ) }.
% 3.75/4.10 parent1[1]: (15) {G0,W10,D2,L2,V4,M2} I { ! cyclic( X, Y, Z, T ), cyclic( Y
% 3.75/4.10 , X, Z, T ) }.
% 3.75/4.10 substitution0:
% 3.75/4.10 end
% 3.75/4.10 substitution1:
% 3.75/4.10 X := skol24
% 3.75/4.10 Y := skol20
% 3.75/4.10 Z := skol23
% 3.75/4.10 T := skol22
% 3.75/4.10 end
% 3.75/4.10
% 3.75/4.10 subsumption: (457) {G8,W5,D2,L1,V0,M1} R(455,15) { ! cyclic( skol24, skol20
% 3.75/4.10 , skol23, skol22 ) }.
% 3.75/4.10 parent0: (20665) {G1,W5,D2,L1,V0,M1} { ! cyclic( skol24, skol20, skol23,
% 3.75/4.10 skol22 ) }.
% 3.75/4.10 substitution0:
% 3.75/4.10 end
% 3.75/4.10 permutation0:
% 3.75/4.10 0 ==> 0
% 3.75/4.10 end
% 3.75/4.10
% 3.75/4.10 resolution: (20666) {G1,W5,D2,L1,V0,M1} { ! cyclic( skol24, skol23, skol20
% 3.75/4.10 , skol22 ) }.
% 3.75/4.10 parent0[0]: (457) {G8,W5,D2,L1,V0,M1} R(455,15) { ! cyclic( skol24, skol20
% 3.75/4.10 , skol23, skol22 ) }.
% 3.75/4.10 parent1[1]: (14) {G0,W10,D2,L2,V4,M2} I { ! cyclic( X, Y, Z, T ), cyclic( X
% 3.75/4.10 , Z, Y, T ) }.
% 3.75/4.10 substitution0:
% 3.75/4.10 end
% 3.75/4.10 substitution1:
% 3.75/4.10 X := skol24
% 3.75/4.10 Y := skol23
% 3.75/4.10 Z := skol20
% 3.75/4.10 T := skol22
% 3.75/4.10 end
% 3.75/4.10
% 3.75/4.10 subsumption: (460) {G9,W5,D2,L1,V0,M1} R(457,14) { ! cyclic( skol24, skol23
% 3.75/4.10 , skol20, skol22 ) }.
% 3.75/4.10 parent0: (20666) {G1,W5,D2,L1,V0,M1} { ! cyclic( skol24, skol23, skol20,
% 3.75/4.10 skol22 ) }.
% 3.75/4.10 substitution0:
% 3.75/4.10 end
% 3.75/4.10 permutation0:
% 3.75/4.10 0 ==> 0
% 3.75/4.10 end
% 3.75/4.10
% 3.75/4.10 resolution: (20667) {G1,W5,D2,L1,V0,M1} { ! cyclic( skol24, skol23, skol22
% 3.75/4.10 , skol20 ) }.
% 3.75/4.10 parent0[0]: (460) {G9,W5,D2,L1,V0,M1} R(457,14) { ! cyclic( skol24, skol23
% 3.75/4.10 , skol20, skol22 ) }.
% 3.75/4.10 parent1[1]: (13) {G0,W10,D2,L2,V4,M2} I { ! cyclic( X, Y, Z, T ), cyclic( X
% 3.75/4.10 , Y, T, Z ) }.
% 3.75/4.10 substitution0:
% 3.75/4.10 end
% 3.75/4.10 substitution1:
% 3.75/4.10 X := skol24
% 3.75/4.10 Y := skol23
% 3.75/4.10 Z := skol22
% 3.75/4.10 T := skol20
% 3.75/4.10 end
% 3.75/4.10
% 3.75/4.10 subsumption: (464) {G10,W5,D2,L1,V0,M1} R(460,13) { ! cyclic( skol24,
% 3.75/4.10 skol23, skol22, skol20 ) }.
% 3.75/4.10 parent0: (20667) {G1,W5,D2,L1,V0,M1} { ! cyclic( skol24, skol23, skol22,
% 3.75/4.10 skol20 ) }.
% 3.75/4.10 substitution0:
% 3.75/4.10 end
% 3.75/4.10 permutation0:
% 3.75/4.10 0 ==> 0
% 3.75/4.10 end
% 3.75/4.10
% 3.75/4.10 resolution: (20668) {G1,W5,D2,L1,V0,M1} { ! cyclic( skol24, skol22, skol23
% 3.75/4.10 , skol20 ) }.
% 3.75/4.10 parent0[0]: (464) {G10,W5,D2,L1,V0,M1} R(460,13) { ! cyclic( skol24, skol23
% 3.75/4.10 , skol22, skol20 ) }.
% 3.75/4.10 parent1[1]: (14) {G0,W10,D2,L2,V4,M2} I { ! cyclic( X, Y, Z, T ), cyclic( X
% 3.75/4.10 , Z, Y, T ) }.
% 3.75/4.10 substitution0:
% 3.75/4.10 end
% 3.75/4.10 substitution1:
% 3.75/4.10 X := skol24
% 3.75/4.10 Y := skol22
% 3.75/4.10 Z := skol23
% 3.75/4.10 T := skol20
% 3.75/4.10 end
% 3.75/4.10
% 3.75/4.10 subsumption: (478) {G11,W5,D2,L1,V0,M1} R(464,14) { ! cyclic( skol24,
% 3.75/4.10 skol22, skol23, skol20 ) }.
% 3.75/4.10 parent0: (20668) {G1,W5,D2,L1,V0,M1} { ! cyclic( skol24, skol22, skol23,
% 3.75/4.10 skol20 ) }.
% 3.75/4.10 substitution0:
% 3.75/4.10 end
% 3.75/4.10 permutation0:
% 3.75/4.10 0 ==> 0
% 3.75/4.10 end
% 3.75/4.10
% 3.75/4.10 resolution: (20669) {G1,W5,D2,L1,V0,M1} { ! cyclic( skol22, skol24, skol23
% 3.75/4.10 , skol20 ) }.
% 3.75/4.10 parent0[0]: (478) {G11,W5,D2,L1,V0,M1} R(464,14) { ! cyclic( skol24, skol22
% 3.75/4.10 , skol23, skol20 ) }.
% 3.75/4.10 parent1[1]: (15) {G0,W10,D2,L2,V4,M2} I { ! cyclic( X, Y, Z, T ), cyclic( Y
% 3.75/4.10 , X, Z, T ) }.
% 3.75/4.10 substitution0:
% 3.75/4.10 end
% 3.75/4.10 substitution1:
% 3.75/4.10 X := skol22
% 3.75/4.10 Y := skol24
% 3.75/4.10 Z := skol23
% 3.75/4.10 T := skol20
% 3.75/4.10 end
% 3.75/4.10
% 3.75/4.10 subsumption: (481) {G12,W5,D2,L1,V0,M1} R(478,15) { ! cyclic( skol22,
% 3.75/4.10 skol24, skol23, skol20 ) }.
% 3.75/4.10 parent0: (20669) {G1,W5,D2,L1,V0,M1} { ! cyclic( skol22, skol24, skol23,
% 3.75/4.10 skol20 ) }.
% 3.75/4.10 substitution0:
% 3.75/4.10 end
% 3.75/4.10 permutation0:
% 3.75/4.10 0 ==> 0
% 3.75/4.10 end
% 3.75/4.10
% 3.75/4.10 resolution: (20670) {G1,W10,D2,L2,V1,M2} { ! cyclic( X, skol22, skol24,
% 3.75/4.10 skol23 ), ! cyclic( X, skol22, skol24, skol20 ) }.
% 3.75/4.10 parent0[0]: (481) {G12,W5,D2,L1,V0,M1} R(478,15) { ! cyclic( skol22, skol24
% 3.75/4.10 , skol23, skol20 ) }.
% 3.75/4.10 parent1[2]: (16) {G0,W15,D2,L3,V5,M3} I { ! cyclic( U, X, Y, Z ), ! cyclic
% 3.75/4.10 ( U, X, Y, T ), cyclic( X, Y, Z, T ) }.
% 3.75/4.10 substitution0:
% 3.75/4.10 end
% 3.75/4.10 substitution1:
% 3.75/4.10 X := skol22
% 3.75/4.10 Y := skol24
% 3.75/4.10 Z := skol23
% 3.75/4.10 T := skol20
% 3.75/4.10 U := X
% 3.75/4.10 end
% 3.75/4.10
% 3.75/4.10 subsumption: (483) {G13,W10,D2,L2,V1,M2} R(481,16) { ! cyclic( X, skol22,
% 3.75/4.10 skol24, skol23 ), ! cyclic( X, skol22, skol24, skol20 ) }.
% 3.75/4.10 parent0: (20670) {G1,W10,D2,L2,V1,M2} { ! cyclic( X, skol22, skol24,
% 3.75/4.10 skol23 ), ! cyclic( X, skol22, skol24, skol20 ) }.
% 3.75/4.10 substitution0:
% 3.75/4.10 X := X
% 3.75/4.10 end
% 3.75/4.10 permutation0:
% 3.75/4.10 0 ==> 0
% 3.75/4.10 1 ==> 1
% 3.75/4.10 end
% 3.75/4.10
% 3.75/4.10 resolution: (20672) {G1,W8,D2,L2,V3,M2} { coll( Y, X, X ), ! coll( X, Z, Y
% 3.75/4.10 ) }.
% 3.75/4.10 parent0[0]: (1) {G0,W8,D2,L2,V3,M2} I { ! coll( X, Y, Z ), coll( Y, X, Z )
% 3.75/4.10 }.
% 3.75/4.10 parent1[0]: (251) {G4,W8,D2,L2,V3,M2} F(237) { coll( X, Y, X ), ! coll( X,
% 3.75/4.10 Z, Y ) }.
% 3.75/4.10 substitution0:
% 3.75/4.10 X := X
% 3.75/4.10 Y := Y
% 3.75/4.10 Z := X
% 3.75/4.10 end
% 3.75/4.10 substitution1:
% 3.75/4.10 X := X
% 3.75/4.10 Y := Y
% 3.75/4.10 Z := Z
% 3.75/4.10 end
% 3.75/4.10
% 3.75/4.10 subsumption: (620) {G5,W8,D2,L2,V3,M2} R(251,1) { ! coll( X, Y, Z ), coll(
% 3.75/4.10 Z, X, X ) }.
% 3.75/4.10 parent0: (20672) {G1,W8,D2,L2,V3,M2} { coll( Y, X, X ), ! coll( X, Z, Y )
% 3.75/4.10 }.
% 3.75/4.10 substitution0:
% 3.75/4.10 X := X
% 3.75/4.10 Y := Z
% 3.75/4.10 Z := Y
% 3.75/4.10 end
% 3.75/4.10 permutation0:
% 3.75/4.10 0 ==> 1
% 3.75/4.10 1 ==> 0
% 3.75/4.10 end
% 3.75/4.10
% 3.75/4.10 resolution: (20673) {G1,W8,D2,L2,V3,M2} { coll( Z, X, X ), ! coll( Y, X, Z
% 3.75/4.10 ) }.
% 3.75/4.10 parent0[0]: (620) {G5,W8,D2,L2,V3,M2} R(251,1) { ! coll( X, Y, Z ), coll( Z
% 3.75/4.10 , X, X ) }.
% 3.75/4.10 parent1[1]: (1) {G0,W8,D2,L2,V3,M2} I { ! coll( X, Y, Z ), coll( Y, X, Z )
% 3.75/4.10 }.
% 3.75/4.10 substitution0:
% 3.75/4.10 X := X
% 3.75/4.10 Y := Y
% 3.75/4.10 Z := Z
% 3.75/4.10 end
% 3.75/4.10 substitution1:
% 3.75/4.10 X := Y
% 3.75/4.10 Y := X
% 3.75/4.10 Z := Z
% 3.75/4.10 end
% 3.75/4.10
% 3.75/4.10 subsumption: (625) {G6,W8,D2,L2,V3,M2} R(620,1) { coll( X, Y, Y ), ! coll(
% 3.75/4.10 Z, Y, X ) }.
% 3.75/4.10 parent0: (20673) {G1,W8,D2,L2,V3,M2} { coll( Z, X, X ), ! coll( Y, X, Z )
% 3.75/4.10 }.
% 3.75/4.10 substitution0:
% 3.75/4.10 X := Y
% 3.75/4.10 Y := Z
% 3.75/4.10 Z := X
% 3.75/4.10 end
% 3.75/4.10 permutation0:
% 3.75/4.10 0 ==> 0
% 3.75/4.10 1 ==> 1
% 3.75/4.10 end
% 3.75/4.10
% 3.75/4.10 resolution: (20674) {G1,W8,D2,L2,V3,M2} { coll( Z, X, X ), ! coll( X, Z, Y
% 3.75/4.10 ) }.
% 3.75/4.10 parent0[0]: (620) {G5,W8,D2,L2,V3,M2} R(251,1) { ! coll( X, Y, Z ), coll( Z
% 3.75/4.10 , X, X ) }.
% 3.75/4.10 parent1[1]: (0) {G0,W8,D2,L2,V3,M2} I { ! coll( X, Y, Z ), coll( X, Z, Y )
% 3.75/4.10 }.
% 3.75/4.10 substitution0:
% 3.75/4.10 X := X
% 3.75/4.10 Y := Y
% 3.75/4.10 Z := Z
% 3.75/4.10 end
% 3.75/4.10 substitution1:
% 3.75/4.10 X := X
% 3.75/4.10 Y := Z
% 3.75/4.10 Z := Y
% 3.75/4.10 end
% 3.75/4.10
% 3.75/4.10 subsumption: (626) {G6,W8,D2,L2,V3,M2} R(620,0) { coll( X, Y, Y ), ! coll(
% 3.75/4.10 Y, X, Z ) }.
% 3.75/4.10 parent0: (20674) {G1,W8,D2,L2,V3,M2} { coll( Z, X, X ), ! coll( X, Z, Y )
% 3.75/4.10 }.
% 3.75/4.10 substitution0:
% 3.75/4.10 X := Y
% 3.75/4.10 Y := Z
% 3.75/4.10 Z := X
% 3.75/4.10 end
% 3.75/4.10 permutation0:
% 3.75/4.10 0 ==> 0
% 3.75/4.10 1 ==> 1
% 3.75/4.10 end
% 3.75/4.10
% 3.75/4.10 resolution: (20675) {G7,W8,D2,L2,V3,M2} { coll( X, Y, Y ), ! coll( X, Y, Z
% 3.75/4.10 ) }.
% 3.75/4.10 parent0[1]: (626) {G6,W8,D2,L2,V3,M2} R(620,0) { coll( X, Y, Y ), ! coll( Y
% 3.75/4.10 , X, Z ) }.
% 3.75/4.10 parent1[0]: (626) {G6,W8,D2,L2,V3,M2} R(620,0) { coll( X, Y, Y ), ! coll( Y
% 3.75/4.10 , X, Z ) }.
% 3.75/4.10 substitution0:
% 3.75/4.10 X := X
% 3.75/4.10 Y := Y
% 3.75/4.10 Z := X
% 3.75/4.10 end
% 3.75/4.10 substitution1:
% 3.75/4.10 X := Y
% 3.75/4.10 Y := X
% 3.75/4.10 Z := Z
% 3.75/4.10 end
% 3.75/4.10
% 3.75/4.10 subsumption: (632) {G7,W8,D2,L2,V3,M2} R(626,626) { ! coll( X, Y, Z ), coll
% 3.75/4.10 ( X, Y, Y ) }.
% 3.75/4.10 parent0: (20675) {G7,W8,D2,L2,V3,M2} { coll( X, Y, Y ), ! coll( X, Y, Z )
% 3.75/4.10 }.
% 3.75/4.10 substitution0:
% 3.75/4.10 X := X
% 3.75/4.10 Y := Y
% 3.75/4.10 Z := Z
% 3.75/4.10 end
% 3.75/4.10 permutation0:
% 3.75/4.10 0 ==> 1
% 3.75/4.10 1 ==> 0
% 3.75/4.10 end
% 3.75/4.10
% 3.75/4.10 resolution: (20679) {G1,W12,D2,L3,V4,M3} { ! coll( X, Y, Z ), coll( Z, Y,
% 3.75/4.10 X ), ! coll( X, Y, T ) }.
% 3.75/4.10 parent0[1]: (2) {G0,W12,D2,L3,V4,M3} I { ! coll( X, T, Y ), ! coll( X, T, Z
% 3.75/4.10 ), coll( Y, Z, X ) }.
% 3.75/4.10 parent1[1]: (632) {G7,W8,D2,L2,V3,M2} R(626,626) { ! coll( X, Y, Z ), coll
% 3.75/4.10 ( X, Y, Y ) }.
% 3.75/4.10 substitution0:
% 3.75/4.10 X := X
% 3.75/4.10 Y := Z
% 3.75/4.10 Z := Y
% 3.75/4.10 T := Y
% 3.75/4.10 end
% 3.75/4.10 substitution1:
% 3.75/4.10 X := X
% 3.75/4.10 Y := Y
% 3.75/4.10 Z := T
% 3.75/4.10 end
% 3.75/4.10
% 3.75/4.10 subsumption: (635) {G8,W12,D2,L3,V4,M3} R(632,2) { ! coll( X, Y, Z ), !
% 3.75/4.10 coll( X, Y, T ), coll( T, Y, X ) }.
% 3.75/4.10 parent0: (20679) {G1,W12,D2,L3,V4,M3} { ! coll( X, Y, Z ), coll( Z, Y, X )
% 3.75/4.10 , ! coll( X, Y, T ) }.
% 3.75/4.10 substitution0:
% 3.75/4.10 X := X
% 3.75/4.10 Y := Y
% 3.75/4.10 Z := T
% 3.75/4.10 T := Z
% 3.75/4.10 end
% 3.75/4.10 permutation0:
% 3.75/4.10 0 ==> 1
% 3.75/4.10 1 ==> 2
% 3.75/4.10 2 ==> 0
% 3.75/4.10 end
% 3.75/4.10
% 3.75/4.10 factor: (20682) {G8,W8,D2,L2,V3,M2} { ! coll( X, Y, Z ), coll( Z, Y, X )
% 3.75/4.10 }.
% 3.75/4.10 parent0[0, 1]: (635) {G8,W12,D2,L3,V4,M3} R(632,2) { ! coll( X, Y, Z ), !
% 3.75/4.10 coll( X, Y, T ), coll( T, Y, X ) }.
% 3.75/4.10 substitution0:
% 3.75/4.10 X := X
% 3.75/4.10 Y := Y
% 3.75/4.10 Z := Z
% 3.75/4.10 T := Z
% 3.75/4.10 end
% 3.75/4.10
% 3.75/4.10 subsumption: (636) {G9,W8,D2,L2,V3,M2} F(635) { ! coll( X, Y, Z ), coll( Z
% 3.75/4.10 , Y, X ) }.
% 3.75/4.10 parent0: (20682) {G8,W8,D2,L2,V3,M2} { ! coll( X, Y, Z ), coll( Z, Y, X )
% 3.75/4.10 }.
% 3.75/4.10 substitution0:
% 3.75/4.10 X := X
% 3.75/4.10 Y := Y
% 3.75/4.10 Z := Z
% 3.75/4.10 end
% 3.75/4.10 permutation0:
% 3.75/4.10 0 ==> 0
% 3.75/4.10 1 ==> 1
% 3.75/4.10 end
% 3.75/4.10
% 3.75/4.10 resolution: (20683) {G7,W8,D2,L2,V3,M2} { coll( Y, Y, X ), ! coll( Z, Y, X
% 3.75/4.10 ) }.
% 3.75/4.10 parent0[0]: (636) {G9,W8,D2,L2,V3,M2} F(635) { ! coll( X, Y, Z ), coll( Z,
% 3.75/4.10 Y, X ) }.
% 3.75/4.10 parent1[0]: (625) {G6,W8,D2,L2,V3,M2} R(620,1) { coll( X, Y, Y ), ! coll( Z
% 3.75/4.10 , Y, X ) }.
% 3.75/4.10 substitution0:
% 3.75/4.10 X := X
% 3.75/4.10 Y := Y
% 3.75/4.10 Z := Y
% 3.75/4.10 end
% 3.75/4.10 substitution1:
% 3.75/4.10 X := X
% 3.75/4.10 Y := Y
% 3.75/4.10 Z := Z
% 3.75/4.10 end
% 3.75/4.10
% 3.75/4.10 subsumption: (642) {G10,W8,D2,L2,V3,M2} R(636,625) { coll( X, X, Y ), !
% 3.75/4.10 coll( Z, X, Y ) }.
% 3.75/4.10 parent0: (20683) {G7,W8,D2,L2,V3,M2} { coll( Y, Y, X ), ! coll( Z, Y, X )
% 3.75/4.10 }.
% 3.75/4.10 substitution0:
% 3.75/4.10 X := Y
% 3.75/4.10 Y := X
% 3.75/4.10 Z := Z
% 3.75/4.10 end
% 3.75/4.10 permutation0:
% 3.75/4.10 0 ==> 0
% 3.75/4.10 1 ==> 1
% 3.75/4.10 end
% 3.75/4.10
% 3.75/4.10 resolution: (20684) {G1,W8,D2,L2,V3,M2} { coll( X, X, Y ), ! midp( Z, X, Y
% 3.75/4.10 ) }.
% 3.75/4.10 parent0[1]: (642) {G10,W8,D2,L2,V3,M2} R(636,625) { coll( X, X, Y ), ! coll
% 3.75/4.10 ( Z, X, Y ) }.
% 3.75/4.10 parent1[1]: (69) {G0,W8,D2,L2,V3,M2} I { ! midp( X, Y, Z ), coll( X, Y, Z )
% 3.75/4.10 }.
% 3.75/4.10 substitution0:
% 3.75/4.10 X := X
% 3.75/4.10 Y := Y
% 3.75/4.10 Z := Z
% 3.75/4.10 end
% 3.75/4.10 substitution1:
% 3.75/4.10 X := Z
% 3.75/4.10 Y := X
% 3.75/4.10 Z := Y
% 3.75/4.10 end
% 3.75/4.10
% 3.75/4.10 subsumption: (688) {G11,W8,D2,L2,V3,M2} R(69,642) { ! midp( X, Y, Z ), coll
% 3.75/4.10 ( Y, Y, Z ) }.
% 3.75/4.10 parent0: (20684) {G1,W8,D2,L2,V3,M2} { coll( X, X, Y ), ! midp( Z, X, Y )
% 3.75/4.10 }.
% 3.75/4.10 substitution0:
% 3.75/4.10 X := Y
% 3.75/4.10 Y := Z
% 3.75/4.10 Z := X
% 3.75/4.10 end
% 3.75/4.10 permutation0:
% 3.75/4.10 0 ==> 1
% 3.75/4.10 1 ==> 0
% 3.75/4.10 end
% 3.75/4.10
% 3.75/4.10 resolution: (20685) {G1,W4,D2,L1,V0,M1} { coll( skol24, skol26, skol27 )
% 3.75/4.10 }.
% 3.75/4.10 parent0[0]: (69) {G0,W8,D2,L2,V3,M2} I { ! midp( X, Y, Z ), coll( X, Y, Z )
% 3.75/4.10 }.
% 3.75/4.10 parent1[0]: (334) {G1,W4,D2,L1,V0,M1} R(10,125) { midp( skol24, skol26,
% 3.75/4.10 skol27 ) }.
% 3.75/4.10 substitution0:
% 3.75/4.10 X := skol24
% 3.75/4.10 Y := skol26
% 3.75/4.10 Z := skol27
% 3.75/4.10 end
% 3.75/4.10 substitution1:
% 3.75/4.10 end
% 3.75/4.10
% 3.75/4.10 subsumption: (702) {G2,W4,D2,L1,V0,M1} R(69,334) { coll( skol24, skol26,
% 3.75/4.10 skol27 ) }.
% 3.75/4.10 parent0: (20685) {G1,W4,D2,L1,V0,M1} { coll( skol24, skol26, skol27 ) }.
% 3.75/4.10 substitution0:
% 3.75/4.10 end
% 3.75/4.10 permutation0:
% 3.75/4.10 0 ==> 0
% 3.75/4.10 end
% 3.75/4.10
% 3.75/4.10 resolution: (20686) {G1,W8,D2,L2,V3,M2} { coll( Y, X, Z ), ! midp( X, Y, Z
% 3.75/4.10 ) }.
% 3.75/4.10 parent0[0]: (1) {G0,W8,D2,L2,V3,M2} I { ! coll( X, Y, Z ), coll( Y, X, Z )
% 3.75/4.10 }.
% 3.75/4.10 parent1[1]: (69) {G0,W8,D2,L2,V3,M2} I { ! midp( X, Y, Z ), coll( X, Y, Z )
% 3.75/4.10 }.
% 3.75/4.10 substitution0:
% 3.75/4.10 X := X
% 3.75/4.10 Y := Y
% 3.75/4.10 Z := Z
% 3.75/4.10 end
% 3.75/4.10 substitution1:
% 3.75/4.10 X := X
% 3.75/4.10 Y := Y
% 3.75/4.10 Z := Z
% 3.75/4.10 end
% 3.75/4.10
% 3.75/4.10 subsumption: (707) {G1,W8,D2,L2,V3,M2} R(69,1) { ! midp( X, Y, Z ), coll( Y
% 3.75/4.10 , X, Z ) }.
% 3.75/4.10 parent0: (20686) {G1,W8,D2,L2,V3,M2} { coll( Y, X, Z ), ! midp( X, Y, Z )
% 3.75/4.10 }.
% 3.75/4.10 substitution0:
% 3.75/4.10 X := X
% 3.75/4.10 Y := Y
% 3.75/4.10 Z := Z
% 3.75/4.10 end
% 3.75/4.10 permutation0:
% 3.75/4.10 0 ==> 1
% 3.75/4.10 1 ==> 0
% 3.75/4.10 end
% 3.75/4.10
% 3.75/4.10 resolution: (20687) {G1,W4,D2,L1,V0,M1} { coll( skol24, skol27, skol26 )
% 3.75/4.10 }.
% 3.75/4.10 parent0[0]: (69) {G0,W8,D2,L2,V3,M2} I { ! midp( X, Y, Z ), coll( X, Y, Z )
% 3.75/4.10 }.
% 3.75/4.10 parent1[0]: (125) {G0,W4,D2,L1,V0,M1} I { midp( skol24, skol27, skol26 )
% 3.75/4.10 }.
% 3.75/4.10 substitution0:
% 3.75/4.10 X := skol24
% 3.75/4.10 Y := skol27
% 3.75/4.10 Z := skol26
% 3.75/4.10 end
% 3.75/4.10 substitution1:
% 3.75/4.10 end
% 3.75/4.10
% 3.75/4.10 subsumption: (708) {G1,W4,D2,L1,V0,M1} R(69,125) { coll( skol24, skol27,
% 3.75/4.10 skol26 ) }.
% 3.75/4.10 parent0: (20687) {G1,W4,D2,L1,V0,M1} { coll( skol24, skol27, skol26 ) }.
% 3.75/4.10 substitution0:
% 3.75/4.10 end
% 3.75/4.10 permutation0:
% 3.75/4.10 0 ==> 0
% 3.75/4.10 end
% 3.75/4.10
% 3.75/4.10 resolution: (20688) {G1,W4,D2,L1,V0,M1} { coll( skol26, skol24, skol27 )
% 3.75/4.10 }.
% 3.75/4.10 parent0[0]: (1) {G0,W8,D2,L2,V3,M2} I { ! coll( X, Y, Z ), coll( Y, X, Z )
% 3.75/4.10 }.
% 3.75/4.10 parent1[0]: (702) {G2,W4,D2,L1,V0,M1} R(69,334) { coll( skol24, skol26,
% 3.75/4.10 skol27 ) }.
% 3.75/4.10 substitution0:
% 3.75/4.10 X := skol24
% 3.75/4.10 Y := skol26
% 3.75/4.10 Z := skol27
% 3.75/4.10 end
% 3.75/4.10 substitution1:
% 3.75/4.10 end
% 3.75/4.10
% 3.75/4.10 subsumption: (726) {G3,W4,D2,L1,V0,M1} R(702,1) { coll( skol26, skol24,
% 3.75/4.10 skol27 ) }.
% 3.75/4.10 parent0: (20688) {G1,W4,D2,L1,V0,M1} { coll( skol26, skol24, skol27 ) }.
% 3.75/4.10 substitution0:
% 3.75/4.10 end
% 3.75/4.10 permutation0:
% 3.75/4.10 0 ==> 0
% 3.75/4.10 end
% 3.75/4.10
% 3.75/4.10 resolution: (20689) {G1,W8,D2,L2,V1,M2} { ! coll( skol26, skol24, X ),
% 3.75/4.10 coll( skol27, X, skol26 ) }.
% 3.75/4.10 parent0[0]: (2) {G0,W12,D2,L3,V4,M3} I { ! coll( X, T, Y ), ! coll( X, T, Z
% 3.75/4.10 ), coll( Y, Z, X ) }.
% 3.75/4.10 parent1[0]: (726) {G3,W4,D2,L1,V0,M1} R(702,1) { coll( skol26, skol24,
% 3.75/4.10 skol27 ) }.
% 3.75/4.10 substitution0:
% 3.75/4.10 X := skol26
% 3.75/4.10 Y := skol27
% 3.75/4.10 Z := X
% 3.75/4.10 T := skol24
% 3.75/4.10 end
% 3.75/4.10 substitution1:
% 3.75/4.10 end
% 3.75/4.10
% 3.75/4.10 subsumption: (780) {G4,W8,D2,L2,V1,M2} R(726,2) { ! coll( skol26, skol24, X
% 3.75/4.10 ), coll( skol27, X, skol26 ) }.
% 3.75/4.10 parent0: (20689) {G1,W8,D2,L2,V1,M2} { ! coll( skol26, skol24, X ), coll(
% 3.75/4.10 skol27, X, skol26 ) }.
% 3.75/4.10 substitution0:
% 3.75/4.10 X := X
% 3.75/4.10 end
% 3.75/4.10 permutation0:
% 3.75/4.10 0 ==> 0
% 3.75/4.10 1 ==> 1
% 3.75/4.10 end
% 3.75/4.10
% 3.75/4.10 resolution: (20691) {G1,W8,D2,L2,V1,M2} { ! coll( skol24, skol27, X ),
% 3.75/4.10 coll( skol26, X, skol24 ) }.
% 3.75/4.10 parent0[0]: (2) {G0,W12,D2,L3,V4,M3} I { ! coll( X, T, Y ), ! coll( X, T, Z
% 3.75/4.10 ), coll( Y, Z, X ) }.
% 3.75/4.10 parent1[0]: (708) {G1,W4,D2,L1,V0,M1} R(69,125) { coll( skol24, skol27,
% 3.75/4.10 skol26 ) }.
% 3.75/4.10 substitution0:
% 3.75/4.10 X := skol24
% 3.75/4.10 Y := skol26
% 3.75/4.10 Z := X
% 3.75/4.10 T := skol27
% 3.75/4.10 end
% 3.75/4.10 substitution1:
% 3.75/4.10 end
% 3.75/4.10
% 3.75/4.10 subsumption: (793) {G2,W8,D2,L2,V1,M2} R(708,2) { ! coll( skol24, skol27, X
% 3.75/4.10 ), coll( skol26, X, skol24 ) }.
% 3.75/4.10 parent0: (20691) {G1,W8,D2,L2,V1,M2} { ! coll( skol24, skol27, X ), coll(
% 3.75/4.10 skol26, X, skol24 ) }.
% 3.75/4.10 substitution0:
% 3.75/4.10 X := X
% 3.75/4.10 end
% 3.75/4.10 permutation0:
% 3.75/4.10 0 ==> 0
% 3.75/4.10 1 ==> 1
% 3.75/4.10 end
% 3.75/4.10
% 3.75/4.10 resolution: (20693) {G1,W14,D2,L3,V3,M3} { ! coll( X, X, Z ), cyclic( Y, Z
% 3.75/4.10 , X, X ), ! para( X, Y, X, Y ) }.
% 3.75/4.10 parent0[0]: (42) {G0,W18,D2,L3,V4,M3} I { ! eqangle( Z, X, Z, Y, T, X, T, Y
% 3.75/4.10 ), ! coll( Z, T, Y ), cyclic( X, Y, Z, T ) }.
% 3.75/4.10 parent1[1]: (39) {G0,W14,D2,L2,V6,M2} I { ! para( X, Y, Z, T ), eqangle( X
% 3.75/4.10 , Y, U, W, Z, T, U, W ) }.
% 3.75/4.10 substitution0:
% 3.75/4.10 X := Y
% 3.75/4.10 Y := Z
% 3.75/4.10 Z := X
% 3.75/4.10 T := X
% 3.75/4.10 end
% 3.75/4.10 substitution1:
% 3.75/4.10 X := X
% 3.75/4.10 Y := Y
% 3.75/4.10 Z := X
% 3.75/4.10 T := Y
% 3.75/4.10 U := X
% 3.75/4.10 W := Z
% 3.75/4.10 end
% 3.75/4.10
% 3.75/4.10 subsumption: (847) {G1,W14,D2,L3,V3,M3} R(42,39) { ! coll( X, X, Y ),
% 3.75/4.10 cyclic( Z, Y, X, X ), ! para( X, Z, X, Z ) }.
% 3.75/4.10 parent0: (20693) {G1,W14,D2,L3,V3,M3} { ! coll( X, X, Z ), cyclic( Y, Z, X
% 3.75/4.10 , X ), ! para( X, Y, X, Y ) }.
% 3.75/4.10 substitution0:
% 3.75/4.10 X := X
% 3.75/4.10 Y := Z
% 3.75/4.10 Z := Y
% 3.75/4.10 end
% 3.75/4.10 permutation0:
% 3.75/4.10 0 ==> 0
% 3.75/4.10 1 ==> 1
% 3.75/4.10 2 ==> 2
% 3.75/4.10 end
% 3.75/4.10
% 3.75/4.10 resolution: (20694) {G2,W8,D2,L2,V1,M2} { coll( skol26, X, skol24 ), !
% 3.75/4.10 coll( X, skol24, skol27 ) }.
% 3.75/4.10 parent0[0]: (793) {G2,W8,D2,L2,V1,M2} R(708,2) { ! coll( skol24, skol27, X
% 3.75/4.10 ), coll( skol26, X, skol24 ) }.
% 3.75/4.10 parent1[1]: (171) {G1,W8,D2,L2,V3,M2} R(1,0) { ! coll( X, Y, Z ), coll( Y,
% 3.75/4.10 Z, X ) }.
% 3.75/4.10 substitution0:
% 3.75/4.10 X := X
% 3.75/4.10 end
% 3.75/4.10 substitution1:
% 3.75/4.10 X := X
% 3.75/4.10 Y := skol24
% 3.75/4.10 Z := skol27
% 3.75/4.10 end
% 3.75/4.10
% 3.75/4.10 subsumption: (1190) {G3,W8,D2,L2,V1,M2} R(793,171) { coll( skol26, X,
% 3.75/4.10 skol24 ), ! coll( X, skol24, skol27 ) }.
% 3.75/4.10 parent0: (20694) {G2,W8,D2,L2,V1,M2} { coll( skol26, X, skol24 ), ! coll(
% 3.75/4.10 X, skol24, skol27 ) }.
% 3.75/4.10 substitution0:
% 3.75/4.10 X := X
% 3.75/4.10 end
% 3.75/4.10 permutation0:
% 3.75/4.10 0 ==> 0
% 3.75/4.10 1 ==> 1
% 3.75/4.10 end
% 3.75/4.10
% 3.75/4.10 resolution: (20696) {G2,W8,D2,L2,V1,M2} { coll( X, skol24, skol26 ), !
% 3.75/4.10 coll( X, skol24, skol27 ) }.
% 3.75/4.10 parent0[0]: (171) {G1,W8,D2,L2,V3,M2} R(1,0) { ! coll( X, Y, Z ), coll( Y,
% 3.75/4.10 Z, X ) }.
% 3.75/4.10 parent1[0]: (1190) {G3,W8,D2,L2,V1,M2} R(793,171) { coll( skol26, X, skol24
% 3.75/4.10 ), ! coll( X, skol24, skol27 ) }.
% 3.75/4.10 substitution0:
% 3.75/4.10 X := skol26
% 3.75/4.10 Y := X
% 3.75/4.10 Z := skol24
% 3.75/4.10 end
% 3.75/4.10 substitution1:
% 3.75/4.10 X := X
% 3.75/4.10 end
% 3.75/4.10
% 3.75/4.10 subsumption: (2011) {G4,W8,D2,L2,V1,M2} R(1190,171) { ! coll( X, skol24,
% 3.75/4.10 skol27 ), coll( X, skol24, skol26 ) }.
% 3.75/4.10 parent0: (20696) {G2,W8,D2,L2,V1,M2} { coll( X, skol24, skol26 ), ! coll(
% 3.75/4.10 X, skol24, skol27 ) }.
% 3.75/4.10 substitution0:
% 3.75/4.10 X := X
% 3.75/4.10 end
% 3.75/4.10 permutation0:
% 3.75/4.10 0 ==> 1
% 3.75/4.10 1 ==> 0
% 3.75/4.10 end
% 3.75/4.10
% 3.75/4.10 resolution: (20699) {G1,W12,D2,L3,V2,M3} { ! coll( X, skol24, Y ), coll(
% 3.75/4.10 skol26, Y, X ), ! coll( X, skol24, skol27 ) }.
% 3.75/4.10 parent0[0]: (2) {G0,W12,D2,L3,V4,M3} I { ! coll( X, T, Y ), ! coll( X, T, Z
% 3.75/4.10 ), coll( Y, Z, X ) }.
% 3.75/4.10 parent1[1]: (2011) {G4,W8,D2,L2,V1,M2} R(1190,171) { ! coll( X, skol24,
% 3.75/4.10 skol27 ), coll( X, skol24, skol26 ) }.
% 3.75/4.10 substitution0:
% 3.75/4.10 X := X
% 3.75/4.10 Y := skol26
% 3.75/4.10 Z := Y
% 3.75/4.10 T := skol24
% 3.75/4.10 end
% 3.75/4.10 substitution1:
% 3.75/4.10 X := X
% 3.75/4.10 end
% 3.75/4.10
% 3.75/4.10 subsumption: (2029) {G5,W12,D2,L3,V2,M3} R(2011,2) { ! coll( X, skol24,
% 3.75/4.10 skol27 ), ! coll( X, skol24, Y ), coll( skol26, Y, X ) }.
% 3.75/4.10 parent0: (20699) {G1,W12,D2,L3,V2,M3} { ! coll( X, skol24, Y ), coll(
% 3.75/4.10 skol26, Y, X ), ! coll( X, skol24, skol27 ) }.
% 3.75/4.10 substitution0:
% 3.75/4.10 X := X
% 3.75/4.10 Y := Y
% 3.75/4.10 end
% 3.75/4.10 permutation0:
% 3.75/4.10 0 ==> 1
% 3.75/4.10 1 ==> 2
% 3.75/4.10 2 ==> 0
% 3.75/4.10 end
% 3.75/4.10
% 3.75/4.10 factor: (20703) {G5,W8,D2,L2,V1,M2} { ! coll( X, skol24, skol27 ), coll(
% 3.75/4.10 skol26, skol27, X ) }.
% 3.75/4.10 parent0[0, 1]: (2029) {G5,W12,D2,L3,V2,M3} R(2011,2) { ! coll( X, skol24,
% 3.75/4.10 skol27 ), ! coll( X, skol24, Y ), coll( skol26, Y, X ) }.
% 3.75/4.10 substitution0:
% 3.75/4.10 X := X
% 3.75/4.10 Y := skol27
% 3.75/4.10 end
% 3.75/4.10
% 3.75/4.10 subsumption: (2034) {G6,W8,D2,L2,V1,M2} F(2029) { ! coll( X, skol24, skol27
% 3.75/4.11 ), coll( skol26, skol27, X ) }.
% 3.75/4.11 parent0: (20703) {G5,W8,D2,L2,V1,M2} { ! coll( X, skol24, skol27 ), coll(
% 3.75/4.11 skol26, skol27, X ) }.
% 3.75/4.11 substitution0:
% 3.75/4.11 X := X
% 3.75/4.11 end
% 3.75/4.11 permutation0:
% 3.75/4.11 0 ==> 0
% 3.75/4.11 1 ==> 1
% 3.75/4.11 end
% 3.75/4.11
% 3.75/4.11 resolution: (20704) {G1,W5,D2,L1,V0,M1} { cong( skol24, skol26, skol24,
% 3.75/4.11 skol27 ) }.
% 3.75/4.11 parent0[0]: (68) {G0,W9,D2,L2,V3,M2} I { ! midp( X, Y, Z ), cong( X, Y, X,
% 3.75/4.11 Z ) }.
% 3.75/4.11 parent1[0]: (334) {G1,W4,D2,L1,V0,M1} R(10,125) { midp( skol24, skol26,
% 3.75/4.11 skol27 ) }.
% 3.75/4.11 substitution0:
% 3.75/4.11 X := skol24
% 3.75/4.11 Y := skol26
% 3.75/4.11 Z := skol27
% 3.75/4.11 end
% 3.75/4.11 substitution1:
% 3.75/4.11 end
% 3.75/4.11
% 3.75/4.11 subsumption: (2425) {G2,W5,D2,L1,V0,M1} R(68,334) { cong( skol24, skol26,
% 3.75/4.11 skol24, skol27 ) }.
% 3.75/4.11 parent0: (20704) {G1,W5,D2,L1,V0,M1} { cong( skol24, skol26, skol24,
% 3.75/4.11 skol27 ) }.
% 3.75/4.11 substitution0:
% 3.75/4.11 end
% 3.75/4.11 permutation0:
% 3.75/4.11 0 ==> 0
% 3.75/4.11 end
% 3.75/4.11
% 3.75/4.11 resolution: (20705) {G2,W8,D2,L2,V1,M2} { coll( skol26, skol27, X ), !
% 3.75/4.11 midp( skol24, X, skol27 ) }.
% 3.75/4.11 parent0[0]: (2034) {G6,W8,D2,L2,V1,M2} F(2029) { ! coll( X, skol24, skol27
% 3.75/4.11 ), coll( skol26, skol27, X ) }.
% 3.75/4.11 parent1[1]: (707) {G1,W8,D2,L2,V3,M2} R(69,1) { ! midp( X, Y, Z ), coll( Y
% 3.75/4.11 , X, Z ) }.
% 3.75/4.11 substitution0:
% 3.75/4.11 X := X
% 3.75/4.11 end
% 3.75/4.11 substitution1:
% 3.75/4.11 X := skol24
% 3.75/4.11 Y := X
% 3.75/4.11 Z := skol27
% 3.75/4.11 end
% 3.75/4.11
% 3.75/4.11 subsumption: (2995) {G7,W8,D2,L2,V1,M2} R(2034,707) { coll( skol26, skol27
% 3.75/4.11 , X ), ! midp( skol24, X, skol27 ) }.
% 3.75/4.11 parent0: (20705) {G2,W8,D2,L2,V1,M2} { coll( skol26, skol27, X ), ! midp(
% 3.75/4.11 skol24, X, skol27 ) }.
% 3.75/4.11 substitution0:
% 3.75/4.11 X := X
% 3.75/4.11 end
% 3.75/4.11 permutation0:
% 3.75/4.11 0 ==> 0
% 3.75/4.11 1 ==> 1
% 3.75/4.11 end
% 3.75/4.11
% 3.75/4.11 resolution: (20706) {G2,W8,D2,L2,V1,M2} { coll( X, skol26, skol27 ), !
% 3.75/4.11 midp( skol24, X, skol27 ) }.
% 3.75/4.11 parent0[1]: (170) {G1,W8,D2,L2,V3,M2} R(1,0) { coll( X, Y, Z ), ! coll( Y,
% 3.75/4.11 Z, X ) }.
% 3.75/4.11 parent1[0]: (2995) {G7,W8,D2,L2,V1,M2} R(2034,707) { coll( skol26, skol27,
% 3.75/4.11 X ), ! midp( skol24, X, skol27 ) }.
% 3.75/4.11 substitution0:
% 3.75/4.11 X := X
% 3.75/4.11 Y := skol26
% 3.75/4.11 Z := skol27
% 3.75/4.11 end
% 3.75/4.11 substitution1:
% 3.75/4.11 X := X
% 3.75/4.11 end
% 3.75/4.11
% 3.75/4.11 subsumption: (3016) {G8,W8,D2,L2,V1,M2} R(2995,170) { ! midp( skol24, X,
% 3.75/4.11 skol27 ), coll( X, skol26, skol27 ) }.
% 3.75/4.11 parent0: (20706) {G2,W8,D2,L2,V1,M2} { coll( X, skol26, skol27 ), ! midp(
% 3.75/4.11 skol24, X, skol27 ) }.
% 3.75/4.11 substitution0:
% 3.75/4.11 X := X
% 3.75/4.11 end
% 3.75/4.11 permutation0:
% 3.75/4.11 0 ==> 1
% 3.75/4.11 1 ==> 0
% 3.75/4.11 end
% 3.75/4.11
% 3.75/4.11 resolution: (20707) {G2,W8,D2,L2,V1,M2} { coll( skol27, X, skol26 ), !
% 3.75/4.11 midp( skol24, skol26, X ) }.
% 3.75/4.11 parent0[0]: (780) {G4,W8,D2,L2,V1,M2} R(726,2) { ! coll( skol26, skol24, X
% 3.75/4.11 ), coll( skol27, X, skol26 ) }.
% 3.75/4.11 parent1[1]: (707) {G1,W8,D2,L2,V3,M2} R(69,1) { ! midp( X, Y, Z ), coll( Y
% 3.75/4.11 , X, Z ) }.
% 3.75/4.11 substitution0:
% 3.75/4.11 X := X
% 3.75/4.11 end
% 3.75/4.11 substitution1:
% 3.75/4.11 X := skol24
% 3.75/4.11 Y := skol26
% 3.75/4.11 Z := X
% 3.75/4.11 end
% 3.75/4.11
% 3.75/4.11 subsumption: (7214) {G5,W8,D2,L2,V1,M2} R(780,707) { coll( skol27, X,
% 3.75/4.11 skol26 ), ! midp( skol24, skol26, X ) }.
% 3.75/4.11 parent0: (20707) {G2,W8,D2,L2,V1,M2} { coll( skol27, X, skol26 ), ! midp(
% 3.75/4.11 skol24, skol26, X ) }.
% 3.75/4.11 substitution0:
% 3.75/4.11 X := X
% 3.75/4.11 end
% 3.75/4.11 permutation0:
% 3.75/4.11 0 ==> 0
% 3.75/4.11 1 ==> 1
% 3.75/4.11 end
% 3.75/4.11
% 3.75/4.11 resolution: (20708) {G2,W8,D2,L2,V1,M2} { coll( X, skol26, skol27 ), !
% 3.75/4.11 midp( skol24, skol26, X ) }.
% 3.75/4.11 parent0[0]: (171) {G1,W8,D2,L2,V3,M2} R(1,0) { ! coll( X, Y, Z ), coll( Y,
% 3.75/4.11 Z, X ) }.
% 3.75/4.11 parent1[0]: (7214) {G5,W8,D2,L2,V1,M2} R(780,707) { coll( skol27, X, skol26
% 3.75/4.11 ), ! midp( skol24, skol26, X ) }.
% 3.75/4.11 substitution0:
% 3.75/4.11 X := skol27
% 3.75/4.11 Y := X
% 3.75/4.11 Z := skol26
% 3.75/4.11 end
% 3.75/4.11 substitution1:
% 3.75/4.11 X := X
% 3.75/4.11 end
% 3.75/4.11
% 3.75/4.11 subsumption: (7242) {G6,W8,D2,L2,V1,M2} R(7214,171) { ! midp( skol24,
% 3.75/4.11 skol26, X ), coll( X, skol26, skol27 ) }.
% 3.75/4.11 parent0: (20708) {G2,W8,D2,L2,V1,M2} { coll( X, skol26, skol27 ), ! midp(
% 3.75/4.11 skol24, skol26, X ) }.
% 3.75/4.11 substitution0:
% 3.75/4.11 X := X
% 3.75/4.11 end
% 3.75/4.11 permutation0:
% 3.75/4.11 0 ==> 1
% 3.75/4.11 1 ==> 0
% 3.75/4.11 end
% 3.75/4.11
% 3.75/4.11 resolution: (20709) {G2,W5,D2,L1,V0,M1} { circle( skol24, skol26, skol27,
% 3.75/4.11 skol27 ) }.
% 3.75/4.11 parent0[0]: (129) {G1,W10,D2,L2,V3,M2} F(11) { ! cong( X, Y, X, Z ), circle
% 3.75/4.11 ( X, Y, Z, Z ) }.
% 3.75/4.11 parent1[0]: (2425) {G2,W5,D2,L1,V0,M1} R(68,334) { cong( skol24, skol26,
% 3.75/4.11 skol24, skol27 ) }.
% 3.75/4.11 substitution0:
% 3.75/4.11 X := skol24
% 3.75/4.11 Y := skol26
% 3.75/4.11 Z := skol27
% 3.75/4.11 end
% 3.75/4.11 substitution1:
% 3.75/4.11 end
% 3.75/4.11
% 3.75/4.11 subsumption: (7282) {G3,W5,D2,L1,V0,M1} R(129,2425) { circle( skol24,
% 3.75/4.11 skol26, skol27, skol27 ) }.
% 3.75/4.11 parent0: (20709) {G2,W5,D2,L1,V0,M1} { circle( skol24, skol26, skol27,
% 3.75/4.11 skol27 ) }.
% 3.75/4.11 substitution0:
% 3.75/4.11 end
% 3.75/4.11 permutation0:
% 3.75/4.11 0 ==> 0
% 3.75/4.11 end
% 3.75/4.11
% 3.75/4.11 resolution: (20710) {G1,W7,D3,L1,V0,M1} { perp( skol12( skol26, skol24 ),
% 3.75/4.11 skol26, skol26, skol24 ) }.
% 3.75/4.11 parent0[0]: (100) {G0,W12,D3,L2,V4,M2} I { ! circle( Y, X, Z, T ), perp(
% 3.75/4.11 skol12( X, Y ), X, X, Y ) }.
% 3.75/4.11 parent1[0]: (7282) {G3,W5,D2,L1,V0,M1} R(129,2425) { circle( skol24, skol26
% 3.75/4.11 , skol27, skol27 ) }.
% 3.75/4.11 substitution0:
% 3.75/4.11 X := skol26
% 3.75/4.11 Y := skol24
% 3.75/4.11 Z := skol27
% 3.75/4.11 T := skol27
% 3.75/4.11 end
% 3.75/4.11 substitution1:
% 3.75/4.11 end
% 3.75/4.11
% 3.75/4.11 subsumption: (7376) {G4,W7,D3,L1,V0,M1} R(7282,100) { perp( skol12( skol26
% 3.75/4.11 , skol24 ), skol26, skol26, skol24 ) }.
% 3.75/4.11 parent0: (20710) {G1,W7,D3,L1,V0,M1} { perp( skol12( skol26, skol24 ),
% 3.75/4.11 skol26, skol26, skol24 ) }.
% 3.75/4.11 substitution0:
% 3.75/4.11 end
% 3.75/4.11 permutation0:
% 3.75/4.11 0 ==> 0
% 3.75/4.11 end
% 3.75/4.11
% 3.75/4.11 resolution: (20712) {G2,W18,D3,L4,V2,M4} { ! midp( X, skol26, skol27 ), !
% 3.75/4.11 coll( skol26, skol26, skol27 ), midp( skol7( skol26, Y ), skol26, Y ), !
% 3.75/4.11 midp( skol24, skol26, skol27 ) }.
% 3.75/4.11 parent0[2]: (149) {G1,W18,D3,L4,V4,M4} F(88) { ! midp( X, Y, Z ), ! coll( Y
% 3.75/4.11 , Y, Z ), ! coll( Z, Y, Z ), midp( skol7( Y, T ), Y, T ) }.
% 3.75/4.11 parent1[1]: (7242) {G6,W8,D2,L2,V1,M2} R(7214,171) { ! midp( skol24, skol26
% 3.75/4.11 , X ), coll( X, skol26, skol27 ) }.
% 3.75/4.11 substitution0:
% 3.75/4.11 X := X
% 3.75/4.11 Y := skol26
% 3.75/4.11 Z := skol27
% 3.75/4.11 T := Y
% 3.75/4.11 end
% 3.75/4.11 substitution1:
% 3.75/4.11 X := skol27
% 3.75/4.11 end
% 3.75/4.11
% 3.75/4.11 factor: (20713) {G2,W14,D3,L3,V1,M3} { ! midp( skol24, skol26, skol27 ), !
% 3.75/4.11 coll( skol26, skol26, skol27 ), midp( skol7( skol26, X ), skol26, X )
% 3.75/4.11 }.
% 3.75/4.11 parent0[0, 3]: (20712) {G2,W18,D3,L4,V2,M4} { ! midp( X, skol26, skol27 )
% 3.75/4.11 , ! coll( skol26, skol26, skol27 ), midp( skol7( skol26, Y ), skol26, Y )
% 3.75/4.11 , ! midp( skol24, skol26, skol27 ) }.
% 3.75/4.11 substitution0:
% 3.75/4.11 X := skol24
% 3.75/4.11 Y := X
% 3.75/4.11 end
% 3.75/4.11
% 3.75/4.11 resolution: (20715) {G3,W14,D3,L3,V1,M3} { ! midp( skol24, skol26, skol27
% 3.75/4.11 ), midp( skol7( skol26, X ), skol26, X ), ! midp( skol24, skol26, skol27
% 3.75/4.11 ) }.
% 3.75/4.11 parent0[1]: (20713) {G2,W14,D3,L3,V1,M3} { ! midp( skol24, skol26, skol27
% 3.75/4.11 ), ! coll( skol26, skol26, skol27 ), midp( skol7( skol26, X ), skol26, X
% 3.75/4.11 ) }.
% 3.75/4.11 parent1[1]: (3016) {G8,W8,D2,L2,V1,M2} R(2995,170) { ! midp( skol24, X,
% 3.75/4.11 skol27 ), coll( X, skol26, skol27 ) }.
% 3.75/4.11 substitution0:
% 3.75/4.11 X := X
% 3.75/4.11 end
% 3.75/4.11 substitution1:
% 3.75/4.11 X := skol26
% 3.75/4.11 end
% 3.75/4.11
% 3.75/4.11 subsumption: (8051) {G9,W14,D3,L3,V2,M3} R(149,7242);r(3016) { ! midp( X,
% 3.75/4.11 skol26, skol27 ), midp( skol7( skol26, Y ), skol26, Y ), ! midp( skol24,
% 3.75/4.11 skol26, skol27 ) }.
% 3.75/4.11 parent0: (20715) {G3,W14,D3,L3,V1,M3} { ! midp( skol24, skol26, skol27 ),
% 3.75/4.11 midp( skol7( skol26, X ), skol26, X ), ! midp( skol24, skol26, skol27 )
% 3.75/4.11 }.
% 3.75/4.11 substitution0:
% 3.75/4.11 X := Y
% 3.75/4.11 end
% 3.75/4.11 permutation0:
% 3.75/4.11 0 ==> 2
% 3.75/4.11 1 ==> 1
% 3.75/4.11 2 ==> 2
% 3.75/4.11 end
% 3.75/4.11
% 3.75/4.11 factor: (20717) {G9,W10,D3,L2,V1,M2} { ! midp( skol24, skol26, skol27 ),
% 3.75/4.11 midp( skol7( skol26, X ), skol26, X ) }.
% 3.75/4.11 parent0[0, 2]: (8051) {G9,W14,D3,L3,V2,M3} R(149,7242);r(3016) { ! midp( X
% 3.75/4.11 , skol26, skol27 ), midp( skol7( skol26, Y ), skol26, Y ), ! midp( skol24
% 3.75/4.11 , skol26, skol27 ) }.
% 3.75/4.11 substitution0:
% 3.75/4.11 X := skol24
% 3.75/4.11 Y := X
% 3.75/4.11 end
% 3.75/4.11
% 3.75/4.11 resolution: (20718) {G2,W6,D3,L1,V1,M1} { midp( skol7( skol26, X ), skol26
% 3.75/4.11 , X ) }.
% 3.75/4.11 parent0[0]: (20717) {G9,W10,D3,L2,V1,M2} { ! midp( skol24, skol26, skol27
% 3.75/4.11 ), midp( skol7( skol26, X ), skol26, X ) }.
% 3.75/4.11 parent1[0]: (334) {G1,W4,D2,L1,V0,M1} R(10,125) { midp( skol24, skol26,
% 3.75/4.11 skol27 ) }.
% 3.75/4.11 substitution0:
% 3.75/4.11 X := X
% 3.75/4.11 end
% 3.75/4.11 substitution1:
% 3.75/4.11 end
% 3.75/4.11
% 3.75/4.11 subsumption: (8187) {G10,W6,D3,L1,V1,M1} F(8051);r(334) { midp( skol7(
% 3.75/4.11 skol26, X ), skol26, X ) }.
% 3.75/4.11 parent0: (20718) {G2,W6,D3,L1,V1,M1} { midp( skol7( skol26, X ), skol26, X
% 3.75/4.11 ) }.
% 3.75/4.11 substitution0:
% 3.75/4.11 X := X
% 3.75/4.11 end
% 3.75/4.11 permutation0:
% 3.75/4.11 0 ==> 0
% 3.75/4.11 end
% 3.75/4.11
% 3.75/4.11 resolution: (20719) {G11,W4,D2,L1,V1,M1} { coll( skol26, skol26, X ) }.
% 3.75/4.11 parent0[0]: (688) {G11,W8,D2,L2,V3,M2} R(69,642) { ! midp( X, Y, Z ), coll
% 3.75/4.11 ( Y, Y, Z ) }.
% 3.75/4.11 parent1[0]: (8187) {G10,W6,D3,L1,V1,M1} F(8051);r(334) { midp( skol7(
% 3.75/4.11 skol26, X ), skol26, X ) }.
% 3.75/4.11 substitution0:
% 3.75/4.11 X := skol7( skol26, X )
% 3.75/4.11 Y := skol26
% 3.75/4.11 Z := X
% 3.75/4.11 end
% 3.75/4.11 substitution1:
% 3.75/4.11 X := X
% 3.75/4.11 end
% 3.75/4.11
% 3.75/4.11 subsumption: (8217) {G12,W4,D2,L1,V1,M1} R(8187,688) { coll( skol26, skol26
% 3.75/4.11 , X ) }.
% 3.75/4.11 parent0: (20719) {G11,W4,D2,L1,V1,M1} { coll( skol26, skol26, X ) }.
% 3.75/4.11 substitution0:
% 3.75/4.11 X := X
% 3.75/4.11 end
% 3.75/4.11 permutation0:
% 3.75/4.11 0 ==> 0
% 3.75/4.11 end
% 3.75/4.11
% 3.75/4.11 resolution: (20720) {G1,W8,D2,L2,V2,M2} { ! coll( skol26, skol26, Y ),
% 3.75/4.11 coll( X, Y, skol26 ) }.
% 3.75/4.11 parent0[0]: (2) {G0,W12,D2,L3,V4,M3} I { ! coll( X, T, Y ), ! coll( X, T, Z
% 3.75/4.11 ), coll( Y, Z, X ) }.
% 3.75/4.11 parent1[0]: (8217) {G12,W4,D2,L1,V1,M1} R(8187,688) { coll( skol26, skol26
% 3.75/4.11 , X ) }.
% 3.75/4.11 substitution0:
% 3.75/4.11 X := skol26
% 3.75/4.11 Y := X
% 3.75/4.11 Z := Y
% 3.75/4.11 T := skol26
% 3.75/4.11 end
% 3.75/4.11 substitution1:
% 3.75/4.11 X := X
% 3.75/4.11 end
% 3.75/4.11
% 3.75/4.11 resolution: (20722) {G2,W4,D2,L1,V2,M1} { coll( Y, X, skol26 ) }.
% 3.75/4.11 parent0[0]: (20720) {G1,W8,D2,L2,V2,M2} { ! coll( skol26, skol26, Y ),
% 3.75/4.11 coll( X, Y, skol26 ) }.
% 3.75/4.11 parent1[0]: (8217) {G12,W4,D2,L1,V1,M1} R(8187,688) { coll( skol26, skol26
% 3.75/4.11 , X ) }.
% 3.75/4.11 substitution0:
% 3.75/4.11 X := Y
% 3.75/4.11 Y := X
% 3.75/4.11 end
% 3.75/4.11 substitution1:
% 3.75/4.11 X := X
% 3.75/4.11 end
% 3.75/4.11
% 3.75/4.11 subsumption: (8276) {G13,W4,D2,L1,V2,M1} R(8217,2);r(8217) { coll( Y, X,
% 3.75/4.11 skol26 ) }.
% 3.75/4.11 parent0: (20722) {G2,W4,D2,L1,V2,M1} { coll( Y, X, skol26 ) }.
% 3.75/4.11 substitution0:
% 3.75/4.11 X := X
% 3.75/4.11 Y := Y
% 3.75/4.11 end
% 3.75/4.11 permutation0:
% 3.75/4.11 0 ==> 0
% 3.75/4.11 end
% 3.75/4.11
% 3.75/4.11 resolution: (20723) {G2,W4,D2,L1,V2,M1} { coll( Y, skol26, X ) }.
% 3.75/4.11 parent0[0]: (171) {G1,W8,D2,L2,V3,M2} R(1,0) { ! coll( X, Y, Z ), coll( Y,
% 3.75/4.11 Z, X ) }.
% 3.75/4.11 parent1[0]: (8276) {G13,W4,D2,L1,V2,M1} R(8217,2);r(8217) { coll( Y, X,
% 3.75/4.11 skol26 ) }.
% 3.75/4.11 substitution0:
% 3.75/4.11 X := X
% 3.75/4.11 Y := Y
% 3.75/4.11 Z := skol26
% 3.75/4.11 end
% 3.75/4.11 substitution1:
% 3.75/4.11 X := Y
% 3.75/4.11 Y := X
% 3.75/4.11 end
% 3.75/4.11
% 3.75/4.11 subsumption: (8285) {G14,W4,D2,L1,V2,M1} R(8276,171) { coll( X, skol26, Y )
% 3.75/4.11 }.
% 3.75/4.11 parent0: (20723) {G2,W4,D2,L1,V2,M1} { coll( Y, skol26, X ) }.
% 3.75/4.11 substitution0:
% 3.75/4.11 X := Y
% 3.75/4.11 Y := X
% 3.75/4.11 end
% 3.75/4.11 permutation0:
% 3.75/4.11 0 ==> 0
% 3.75/4.11 end
% 3.75/4.11
% 3.75/4.11 resolution: (20724) {G1,W8,D2,L2,V3,M2} { ! coll( X, skol26, Z ), coll( Y
% 3.75/4.11 , Z, X ) }.
% 3.75/4.11 parent0[0]: (2) {G0,W12,D2,L3,V4,M3} I { ! coll( X, T, Y ), ! coll( X, T, Z
% 3.75/4.11 ), coll( Y, Z, X ) }.
% 3.75/4.11 parent1[0]: (8285) {G14,W4,D2,L1,V2,M1} R(8276,171) { coll( X, skol26, Y )
% 3.75/4.11 }.
% 3.75/4.11 substitution0:
% 3.75/4.11 X := X
% 3.75/4.11 Y := Y
% 3.75/4.11 Z := Z
% 3.75/4.11 T := skol26
% 3.75/4.11 end
% 3.75/4.11 substitution1:
% 3.75/4.11 X := X
% 3.75/4.11 Y := Y
% 3.75/4.11 end
% 3.75/4.11
% 3.75/4.11 resolution: (20726) {G2,W4,D2,L1,V3,M1} { coll( Z, Y, X ) }.
% 3.75/4.11 parent0[0]: (20724) {G1,W8,D2,L2,V3,M2} { ! coll( X, skol26, Z ), coll( Y
% 3.75/4.11 , Z, X ) }.
% 3.75/4.11 parent1[0]: (8285) {G14,W4,D2,L1,V2,M1} R(8276,171) { coll( X, skol26, Y )
% 3.75/4.11 }.
% 3.75/4.11 substitution0:
% 3.75/4.11 X := X
% 3.75/4.11 Y := Z
% 3.75/4.11 Z := Y
% 3.75/4.11 end
% 3.75/4.11 substitution1:
% 3.75/4.11 X := X
% 3.75/4.11 Y := Y
% 3.75/4.11 end
% 3.75/4.11
% 3.75/4.11 subsumption: (8298) {G15,W4,D2,L1,V3,M1} R(8285,2);r(8285) { coll( Z, Y, X
% 3.75/4.11 ) }.
% 3.75/4.11 parent0: (20726) {G2,W4,D2,L1,V3,M1} { coll( Z, Y, X ) }.
% 3.75/4.11 substitution0:
% 3.75/4.11 X := X
% 3.75/4.11 Y := Y
% 3.75/4.11 Z := Z
% 3.75/4.11 end
% 3.75/4.11 permutation0:
% 3.75/4.11 0 ==> 0
% 3.75/4.11 end
% 3.75/4.11
% 3.75/4.11 resolution: (20727) {G1,W7,D3,L1,V0,M1} { perp( skol26, skol24, skol12(
% 3.75/4.11 skol26, skol24 ), skol26 ) }.
% 3.75/4.11 parent0[0]: (7) {G0,W10,D2,L2,V4,M2} I { ! perp( X, Y, Z, T ), perp( Z, T,
% 3.75/4.11 X, Y ) }.
% 3.75/4.11 parent1[0]: (7376) {G4,W7,D3,L1,V0,M1} R(7282,100) { perp( skol12( skol26,
% 3.75/4.11 skol24 ), skol26, skol26, skol24 ) }.
% 3.75/4.11 substitution0:
% 3.75/4.11 X := skol12( skol26, skol24 )
% 3.75/4.11 Y := skol26
% 3.75/4.11 Z := skol26
% 3.75/4.11 T := skol24
% 3.75/4.11 end
% 3.75/4.11 substitution1:
% 3.75/4.11 end
% 3.75/4.11
% 3.75/4.11 subsumption: (8408) {G5,W7,D3,L1,V0,M1} R(7376,7) { perp( skol26, skol24,
% 3.75/4.11 skol12( skol26, skol24 ), skol26 ) }.
% 3.75/4.11 parent0: (20727) {G1,W7,D3,L1,V0,M1} { perp( skol26, skol24, skol12(
% 3.75/4.11 skol26, skol24 ), skol26 ) }.
% 3.75/4.11 substitution0:
% 3.75/4.11 end
% 3.75/4.11 permutation0:
% 3.75/4.11 0 ==> 0
% 3.75/4.11 end
% 3.75/4.11
% 3.75/4.11 resolution: (20728) {G1,W7,D3,L1,V0,M1} { perp( skol26, skol24, skol26,
% 3.75/4.11 skol12( skol26, skol24 ) ) }.
% 3.75/4.11 parent0[0]: (6) {G0,W10,D2,L2,V4,M2} I { ! perp( X, Y, Z, T ), perp( X, Y,
% 3.75/4.11 T, Z ) }.
% 3.75/4.11 parent1[0]: (8408) {G5,W7,D3,L1,V0,M1} R(7376,7) { perp( skol26, skol24,
% 3.75/4.11 skol12( skol26, skol24 ), skol26 ) }.
% 3.75/4.11 substitution0:
% 3.75/4.11 X := skol26
% 3.75/4.11 Y := skol24
% 3.75/4.11 Z := skol12( skol26, skol24 )
% 3.75/4.11 T := skol26
% 3.75/4.11 end
% 3.75/4.11 substitution1:
% 3.75/4.11 end
% 3.75/4.11
% 3.75/4.11 subsumption: (8417) {G6,W7,D3,L1,V0,M1} R(8408,6) { perp( skol26, skol24,
% 3.75/4.11 skol26, skol12( skol26, skol24 ) ) }.
% 3.75/4.11 parent0: (20728) {G1,W7,D3,L1,V0,M1} { perp( skol26, skol24, skol26,
% 3.75/4.11 skol12( skol26, skol24 ) ) }.
% 3.75/4.11 substitution0:
% 3.75/4.11 end
% 3.75/4.11 permutation0:
% 3.75/4.11 0 ==> 0
% 3.75/4.11 end
% 3.75/4.11
% 3.75/4.11 resolution: (20729) {G1,W7,D3,L1,V0,M1} { perp( skol26, skol12( skol26,
% 3.75/4.11 skol24 ), skol26, skol24 ) }.
% 3.75/4.11 parent0[0]: (7) {G0,W10,D2,L2,V4,M2} I { ! perp( X, Y, Z, T ), perp( Z, T,
% 3.75/4.11 X, Y ) }.
% 3.75/4.11 parent1[0]: (8417) {G6,W7,D3,L1,V0,M1} R(8408,6) { perp( skol26, skol24,
% 3.75/4.11 skol26, skol12( skol26, skol24 ) ) }.
% 3.75/4.11 substitution0:
% 3.75/4.11 X := skol26
% 3.75/4.11 Y := skol24
% 3.75/4.11 Z := skol26
% 3.75/4.11 T := skol12( skol26, skol24 )
% 3.75/4.11 end
% 3.75/4.11 substitution1:
% 3.75/4.11 end
% 3.75/4.11
% 3.75/4.11 subsumption: (8425) {G7,W7,D3,L1,V0,M1} R(8417,7) { perp( skol26, skol12(
% 3.75/4.11 skol26, skol24 ), skol26, skol24 ) }.
% 3.75/4.11 parent0: (20729) {G1,W7,D3,L1,V0,M1} { perp( skol26, skol12( skol26,
% 3.75/4.11 skol24 ), skol26, skol24 ) }.
% 3.75/4.11 substitution0:
% 3.75/4.11 end
% 3.75/4.11 permutation0:
% 3.75/4.11 0 ==> 0
% 3.75/4.11 end
% 3.75/4.11
% 3.75/4.11 resolution: (20730) {G1,W7,D3,L1,V0,M1} { perp( skol26, skol12( skol26,
% 3.75/4.11 skol24 ), skol24, skol26 ) }.
% 3.75/4.11 parent0[0]: (6) {G0,W10,D2,L2,V4,M2} I { ! perp( X, Y, Z, T ), perp( X, Y,
% 3.75/4.11 T, Z ) }.
% 3.75/4.11 parent1[0]: (8425) {G7,W7,D3,L1,V0,M1} R(8417,7) { perp( skol26, skol12(
% 3.75/4.11 skol26, skol24 ), skol26, skol24 ) }.
% 3.75/4.11 substitution0:
% 3.75/4.11 X := skol26
% 3.75/4.11 Y := skol12( skol26, skol24 )
% 3.75/4.11 Z := skol26
% 3.75/4.11 T := skol24
% 3.75/4.11 end
% 3.75/4.11 substitution1:
% 3.75/4.11 end
% 3.75/4.11
% 3.75/4.11 subsumption: (8434) {G8,W7,D3,L1,V0,M1} R(8425,6) { perp( skol26, skol12(
% 3.75/4.11 skol26, skol24 ), skol24, skol26 ) }.
% 3.75/4.11 parent0: (20730) {G1,W7,D3,L1,V0,M1} { perp( skol26, skol12( skol26,
% 3.75/4.11 skol24 ), skol24, skol26 ) }.
% 3.75/4.11 substitution0:
% 3.75/4.11 end
% 3.75/4.11 permutation0:
% 3.75/4.11 0 ==> 0
% 3.75/4.11 end
% 3.75/4.11
% 3.75/4.11 resolution: (20731) {G1,W7,D3,L1,V0,M1} { perp( skol24, skol26, skol26,
% 3.75/4.11 skol12( skol26, skol24 ) ) }.
% 3.75/4.11 parent0[0]: (7) {G0,W10,D2,L2,V4,M2} I { ! perp( X, Y, Z, T ), perp( Z, T,
% 3.75/4.11 X, Y ) }.
% 3.75/4.11 parent1[0]: (8434) {G8,W7,D3,L1,V0,M1} R(8425,6) { perp( skol26, skol12(
% 3.75/4.11 skol26, skol24 ), skol24, skol26 ) }.
% 3.75/4.11 substitution0:
% 3.75/4.11 X := skol26
% 3.75/4.11 Y := skol12( skol26, skol24 )
% 3.75/4.11 Z := skol24
% 3.75/4.11 T := skol26
% 3.75/4.11 end
% 3.75/4.11 substitution1:
% 3.75/4.11 end
% 3.75/4.11
% 3.75/4.11 subsumption: (8443) {G9,W7,D3,L1,V0,M1} R(8434,7) { perp( skol24, skol26,
% 3.75/4.11 skol26, skol12( skol26, skol24 ) ) }.
% 3.75/4.11 parent0: (20731) {G1,W7,D3,L1,V0,M1} { perp( skol24, skol26, skol26,
% 3.75/4.11 skol12( skol26, skol24 ) ) }.
% 3.75/4.11 substitution0:
% 3.75/4.11 end
% 3.75/4.11 permutation0:
% 3.75/4.11 0 ==> 0
% 3.75/4.11 end
% 3.75/4.11
% 3.75/4.11 resolution: (20732) {G1,W14,D3,L2,V2,M2} { ! coll( skol12( skol26, skol24
% 3.75/4.11 ), X, Y ), perp( skol16( skol24, X, Y ), skol24, X, Y ) }.
% 3.75/4.11 parent0[0]: (110) {G0,W17,D3,L3,V5,M3} I { ! perp( X, U, U, T ), ! coll( T
% 3.75/4.11 , Y, Z ), perp( skol16( X, Y, Z ), X, Y, Z ) }.
% 3.75/4.11 parent1[0]: (8443) {G9,W7,D3,L1,V0,M1} R(8434,7) { perp( skol24, skol26,
% 3.75/4.11 skol26, skol12( skol26, skol24 ) ) }.
% 3.75/4.11 substitution0:
% 3.75/4.11 X := skol24
% 3.75/4.11 Y := X
% 3.75/4.11 Z := Y
% 3.75/4.11 T := skol12( skol26, skol24 )
% 3.75/4.11 U := skol26
% 3.75/4.11 end
% 3.75/4.11 substitution1:
% 3.75/4.11 end
% 3.75/4.11
% 3.75/4.11 resolution: (20733) {G2,W8,D3,L1,V2,M1} { perp( skol16( skol24, X, Y ),
% 3.75/4.11 skol24, X, Y ) }.
% 3.75/4.11 parent0[0]: (20732) {G1,W14,D3,L2,V2,M2} { ! coll( skol12( skol26, skol24
% 3.75/4.11 ), X, Y ), perp( skol16( skol24, X, Y ), skol24, X, Y ) }.
% 3.75/4.11 parent1[0]: (8298) {G15,W4,D2,L1,V3,M1} R(8285,2);r(8285) { coll( Z, Y, X )
% 3.75/4.11 }.
% 3.75/4.11 substitution0:
% 3.75/4.11 X := X
% 3.75/4.11 Y := Y
% 3.75/4.11 end
% 3.75/4.11 substitution1:
% 3.75/4.11 X := Y
% 3.75/4.11 Y := X
% 3.75/4.11 Z := skol12( skol26, skol24 )
% 3.75/4.11 end
% 3.75/4.11
% 3.75/4.11 subsumption: (8445) {G16,W8,D3,L1,V2,M1} R(8443,110);r(8298) { perp( skol16
% 3.75/4.11 ( skol24, X, Y ), skol24, X, Y ) }.
% 3.75/4.11 parent0: (20733) {G2,W8,D3,L1,V2,M1} { perp( skol16( skol24, X, Y ),
% 3.75/4.11 skol24, X, Y ) }.
% 3.75/4.11 substitution0:
% 3.75/4.11 X := X
% 3.75/4.11 Y := Y
% 3.75/4.11 end
% 3.75/4.11 permutation0:
% 3.75/4.11 0 ==> 0
% 3.75/4.11 end
% 3.75/4.11
% 3.75/4.11 resolution: (20734) {G1,W8,D3,L1,V2,M1} { perp( X, Y, skol16( skol24, X, Y
% 3.75/4.11 ), skol24 ) }.
% 3.75/4.11 parent0[0]: (7) {G0,W10,D2,L2,V4,M2} I { ! perp( X, Y, Z, T ), perp( Z, T,
% 3.75/4.11 X, Y ) }.
% 3.75/4.11 parent1[0]: (8445) {G16,W8,D3,L1,V2,M1} R(8443,110);r(8298) { perp( skol16
% 3.75/4.11 ( skol24, X, Y ), skol24, X, Y ) }.
% 3.75/4.11 substitution0:
% 3.75/4.11 X := skol16( skol24, X, Y )
% 3.75/4.11 Y := skol24
% 3.75/4.11 Z := X
% 3.75/4.11 T := Y
% 3.75/4.11 end
% 3.75/4.11 substitution1:
% 3.75/4.11 X := X
% 3.75/4.11 Y := Y
% 3.75/4.11 end
% 3.75/4.11
% 3.75/4.11 subsumption: (8661) {G17,W8,D3,L1,V2,M1} R(8445,7) { perp( X, Y, skol16(
% 3.75/4.11 skol24, X, Y ), skol24 ) }.
% 3.75/4.11 parent0: (20734) {G1,W8,D3,L1,V2,M1} { perp( X, Y, skol16( skol24, X, Y )
% 3.75/4.11 , skol24 ) }.
% 3.75/4.11 substitution0:
% 3.75/4.11 X := X
% 3.75/4.11 Y := Y
% 3.75/4.11 end
% 3.75/4.11 permutation0:
% 3.75/4.11 0 ==> 0
% 3.75/4.11 end
% 3.75/4.11
% 3.75/4.11 resolution: (20735) {G1,W8,D3,L1,V2,M1} { perp( X, Y, skol24, skol16(
% 3.75/4.11 skol24, X, Y ) ) }.
% 3.75/4.11 parent0[0]: (6) {G0,W10,D2,L2,V4,M2} I { ! perp( X, Y, Z, T ), perp( X, Y,
% 3.75/4.11 T, Z ) }.
% 3.75/4.11 parent1[0]: (8661) {G17,W8,D3,L1,V2,M1} R(8445,7) { perp( X, Y, skol16(
% 3.75/4.11 skol24, X, Y ), skol24 ) }.
% 3.75/4.11 substitution0:
% 3.75/4.11 X := X
% 3.75/4.11 Y := Y
% 3.75/4.11 Z := skol16( skol24, X, Y )
% 3.75/4.11 T := skol24
% 3.75/4.11 end
% 3.75/4.11 substitution1:
% 3.75/4.11 X := X
% 3.75/4.11 Y := Y
% 3.75/4.11 end
% 3.75/4.11
% 3.75/4.11 subsumption: (8671) {G18,W8,D3,L1,V2,M1} R(8661,6) { perp( X, Y, skol24,
% 3.75/4.11 skol16( skol24, X, Y ) ) }.
% 3.75/4.11 parent0: (20735) {G1,W8,D3,L1,V2,M1} { perp( X, Y, skol24, skol16( skol24
% 3.75/4.11 , X, Y ) ) }.
% 3.75/4.11 substitution0:
% 3.75/4.11 X := X
% 3.75/4.11 Y := Y
% 3.75/4.11 end
% 3.75/4.11 permutation0:
% 3.75/4.11 0 ==> 0
% 3.75/4.11 end
% 3.75/4.11
% 3.75/4.11 resolution: (20736) {G1,W15,D3,L2,V3,M2} { ! coll( skol16( skol24, X,
% 3.75/4.11 skol24 ), Y, Z ), perp( skol16( X, Y, Z ), X, Y, Z ) }.
% 3.75/4.11 parent0[0]: (110) {G0,W17,D3,L3,V5,M3} I { ! perp( X, U, U, T ), ! coll( T
% 3.75/4.11 , Y, Z ), perp( skol16( X, Y, Z ), X, Y, Z ) }.
% 3.75/4.11 parent1[0]: (8671) {G18,W8,D3,L1,V2,M1} R(8661,6) { perp( X, Y, skol24,
% 3.75/4.11 skol16( skol24, X, Y ) ) }.
% 3.75/4.11 substitution0:
% 3.75/4.11 X := X
% 3.75/4.11 Y := Y
% 3.75/4.11 Z := Z
% 3.75/4.11 T := skol16( skol24, X, skol24 )
% 3.75/4.11 U := skol24
% 3.75/4.11 end
% 3.75/4.11 substitution1:
% 3.75/4.11 X := X
% 3.75/4.11 Y := skol24
% 3.75/4.11 end
% 3.75/4.11
% 3.75/4.11 resolution: (20737) {G2,W8,D3,L1,V3,M1} { perp( skol16( X, Y, Z ), X, Y, Z
% 3.75/4.11 ) }.
% 3.75/4.11 parent0[0]: (20736) {G1,W15,D3,L2,V3,M2} { ! coll( skol16( skol24, X,
% 3.75/4.11 skol24 ), Y, Z ), perp( skol16( X, Y, Z ), X, Y, Z ) }.
% 3.75/4.11 parent1[0]: (8298) {G15,W4,D2,L1,V3,M1} R(8285,2);r(8285) { coll( Z, Y, X )
% 3.75/4.11 }.
% 3.75/4.11 substitution0:
% 3.75/4.11 X := X
% 3.75/4.11 Y := Y
% 3.75/4.11 Z := Z
% 3.75/4.11 end
% 3.75/4.11 substitution1:
% 3.75/4.11 X := Z
% 3.75/4.11 Y := Y
% 3.75/4.11 Z := skol16( skol24, X, skol24 )
% 3.75/4.11 end
% 3.75/4.11
% 3.75/4.11 subsumption: (8685) {G19,W8,D3,L1,V3,M1} R(8671,110);r(8298) { perp( skol16
% 3.75/4.11 ( X, Y, Z ), X, Y, Z ) }.
% 3.75/4.11 parent0: (20737) {G2,W8,D3,L1,V3,M1} { perp( skol16( X, Y, Z ), X, Y, Z )
% 3.75/4.11 }.
% 3.75/4.11 substitution0:
% 3.75/4.11 X := X
% 3.75/4.11 Y := Y
% 3.75/4.11 Z := Z
% 3.75/4.11 end
% 3.75/4.11 permutation0:
% 3.75/4.11 0 ==> 0
% 3.75/4.11 end
% 3.75/4.11
% 3.75/4.11 resolution: (20738) {G1,W8,D3,L1,V3,M1} { perp( Y, Z, skol16( X, Y, Z ), X
% 3.75/4.11 ) }.
% 3.75/4.11 parent0[0]: (7) {G0,W10,D2,L2,V4,M2} I { ! perp( X, Y, Z, T ), perp( Z, T,
% 3.75/4.11 X, Y ) }.
% 3.75/4.11 parent1[0]: (8685) {G19,W8,D3,L1,V3,M1} R(8671,110);r(8298) { perp( skol16
% 3.75/4.11 ( X, Y, Z ), X, Y, Z ) }.
% 3.75/4.11 substitution0:
% 3.75/4.11 X := skol16( X, Y, Z )
% 3.75/4.11 Y := X
% 3.75/4.11 Z := Y
% 3.75/4.11 T := Z
% 3.75/4.11 end
% 3.75/4.11 substitution1:
% 3.75/4.11 X := X
% 3.75/4.11 Y := Y
% 3.75/4.11 Z := Z
% 3.75/4.11 end
% 3.75/4.11
% 3.75/4.11 subsumption: (8704) {G20,W8,D3,L1,V3,M1} R(8685,7) { perp( X, Y, skol16( Z
% 3.75/4.11 , X, Y ), Z ) }.
% 3.75/4.11 parent0: (20738) {G1,W8,D3,L1,V3,M1} { perp( Y, Z, skol16( X, Y, Z ), X )
% 3.75/4.11 }.
% 3.75/4.11 substitution0:
% 3.75/4.11 X := Z
% 3.75/4.11 Y := X
% 3.75/4.11 Z := Y
% 3.75/4.11 end
% 3.75/4.11 permutation0:
% 3.75/4.11 0 ==> 0
% 3.75/4.11 end
% 3.75/4.11
% 3.75/4.11 resolution: (20739) {G1,W8,D3,L1,V3,M1} { perp( X, Y, Z, skol16( Z, X, Y )
% 3.75/4.11 ) }.
% 3.75/4.11 parent0[0]: (6) {G0,W10,D2,L2,V4,M2} I { ! perp( X, Y, Z, T ), perp( X, Y,
% 3.75/4.11 T, Z ) }.
% 3.75/4.11 parent1[0]: (8704) {G20,W8,D3,L1,V3,M1} R(8685,7) { perp( X, Y, skol16( Z,
% 3.75/4.11 X, Y ), Z ) }.
% 3.75/4.11 substitution0:
% 3.75/4.11 X := X
% 3.75/4.11 Y := Y
% 3.75/4.11 Z := skol16( Z, X, Y )
% 3.75/4.11 T := Z
% 3.75/4.11 end
% 3.75/4.11 substitution1:
% 3.75/4.11 X := X
% 3.75/4.11 Y := Y
% 3.75/4.11 Z := Z
% 3.75/4.11 end
% 3.75/4.11
% 3.75/4.11 subsumption: (8725) {G21,W8,D3,L1,V3,M1} R(8704,6) { perp( X, Y, Z, skol16
% 3.75/4.11 ( Z, X, Y ) ) }.
% 3.75/4.11 parent0: (20739) {G1,W8,D3,L1,V3,M1} { perp( X, Y, Z, skol16( Z, X, Y ) )
% 3.75/4.11 }.
% 3.75/4.11 substitution0:
% 3.75/4.11 X := X
% 3.75/4.11 Y := Y
% 3.75/4.11 Z := Z
% 3.75/4.11 end
% 3.75/4.11 permutation0:
% 3.75/4.11 0 ==> 0
% 3.75/4.11 end
% 3.75/4.11
% 3.75/4.11 resolution: (20740) {G1,W8,D3,L1,V3,M1} { perp( Z, skol16( Z, X, Y ), X, Y
% 3.75/4.11 ) }.
% 3.75/4.11 parent0[0]: (7) {G0,W10,D2,L2,V4,M2} I { ! perp( X, Y, Z, T ), perp( Z, T,
% 3.75/4.11 X, Y ) }.
% 3.75/4.11 parent1[0]: (8725) {G21,W8,D3,L1,V3,M1} R(8704,6) { perp( X, Y, Z, skol16(
% 3.75/4.11 Z, X, Y ) ) }.
% 3.75/4.11 substitution0:
% 3.75/4.11 X := X
% 3.75/4.11 Y := Y
% 3.75/4.11 Z := Z
% 3.75/4.11 T := skol16( Z, X, Y )
% 3.75/4.11 end
% 3.75/4.11 substitution1:
% 3.75/4.11 X := X
% 3.75/4.11 Y := Y
% 3.75/4.11 Z := Z
% 3.75/4.11 end
% 3.75/4.11
% 3.75/4.11 subsumption: (8736) {G22,W8,D3,L1,V3,M1} R(8725,7) { perp( X, skol16( X, Y
% 3.75/4.11 , Z ), Y, Z ) }.
% 3.75/4.11 parent0: (20740) {G1,W8,D3,L1,V3,M1} { perp( Z, skol16( Z, X, Y ), X, Y )
% 3.75/4.11 }.
% 3.75/4.11 substitution0:
% 3.75/4.11 X := Y
% 3.75/4.11 Y := Z
% 3.75/4.11 Z := X
% 3.75/4.11 end
% 3.75/4.11 permutation0:
% 3.75/4.11 0 ==> 0
% 3.75/4.11 end
% 3.75/4.11
% 3.75/4.11 resolution: (20741) {G2,W8,D3,L1,V2,M1} { perp( X, skol10( X, X, Y ), Y, X
% 3.75/4.11 ) }.
% 3.75/4.11 parent0[0]: (155) {G1,W13,D3,L2,V3,M2} F(95) { ! perp( X, Y, X, Z ), perp(
% 3.75/4.11 X, skol10( X, X, Z ), Z, X ) }.
% 3.75/4.11 parent1[0]: (8736) {G22,W8,D3,L1,V3,M1} R(8725,7) { perp( X, skol16( X, Y,
% 3.75/4.11 Z ), Y, Z ) }.
% 3.75/4.11 substitution0:
% 3.75/4.11 X := X
% 3.75/4.11 Y := skol16( X, X, Y )
% 3.75/4.11 Z := Y
% 3.75/4.11 end
% 3.75/4.11 substitution1:
% 3.75/4.11 X := X
% 3.75/4.11 Y := X
% 3.75/4.11 Z := Y
% 3.75/4.11 end
% 3.75/4.11
% 3.75/4.11 subsumption: (8747) {G23,W8,D3,L1,V2,M1} R(8736,155) { perp( X, skol10( X,
% 3.75/4.11 X, Y ), Y, X ) }.
% 3.75/4.11 parent0: (20741) {G2,W8,D3,L1,V2,M1} { perp( X, skol10( X, X, Y ), Y, X )
% 3.75/4.11 }.
% 3.75/4.11 substitution0:
% 3.75/4.11 X := X
% 3.75/4.11 Y := Y
% 3.75/4.11 end
% 3.75/4.11 permutation0:
% 3.75/4.11 0 ==> 0
% 3.75/4.11 end
% 3.75/4.11
% 3.75/4.11 resolution: (20742) {G1,W8,D3,L1,V2,M1} { perp( Y, X, X, skol10( X, X, Y )
% 3.75/4.11 ) }.
% 3.75/4.11 parent0[0]: (7) {G0,W10,D2,L2,V4,M2} I { ! perp( X, Y, Z, T ), perp( Z, T,
% 3.75/4.11 X, Y ) }.
% 3.75/4.11 parent1[0]: (8747) {G23,W8,D3,L1,V2,M1} R(8736,155) { perp( X, skol10( X, X
% 3.75/4.11 , Y ), Y, X ) }.
% 3.75/4.11 substitution0:
% 3.75/4.11 X := X
% 3.75/4.11 Y := skol10( X, X, Y )
% 3.75/4.11 Z := Y
% 3.75/4.11 T := X
% 3.75/4.11 end
% 3.75/4.11 substitution1:
% 3.75/4.11 X := X
% 3.75/4.11 Y := Y
% 3.75/4.11 end
% 3.75/4.11
% 3.75/4.11 subsumption: (9007) {G24,W8,D3,L1,V2,M1} R(8747,7) { perp( X, Y, Y, skol10
% 3.75/4.11 ( Y, Y, X ) ) }.
% 3.75/4.11 parent0: (20742) {G1,W8,D3,L1,V2,M1} { perp( Y, X, X, skol10( X, X, Y ) )
% 3.75/4.11 }.
% 3.75/4.11 substitution0:
% 3.75/4.11 X := Y
% 3.75/4.11 Y := X
% 3.75/4.11 end
% 3.75/4.11 permutation0:
% 3.75/4.11 0 ==> 0
% 3.75/4.11 end
% 3.75/4.11
% 3.75/4.11 resolution: (20743) {G3,W5,D2,L1,V2,M1} { para( X, Y, X, Y ) }.
% 3.75/4.11 parent0[0]: (307) {G2,W10,D2,L2,V4,M2} F(293) { ! perp( X, Y, Z, T ), para
% 3.75/4.11 ( X, Y, X, Y ) }.
% 3.75/4.11 parent1[0]: (9007) {G24,W8,D3,L1,V2,M1} R(8747,7) { perp( X, Y, Y, skol10(
% 3.75/4.11 Y, Y, X ) ) }.
% 3.75/4.11 substitution0:
% 3.75/4.11 X := X
% 3.75/4.11 Y := Y
% 3.75/4.11 Z := Y
% 3.75/4.11 T := skol10( Y, Y, X )
% 3.75/4.11 end
% 3.75/4.11 substitution1:
% 3.75/4.11 X := X
% 3.75/4.11 Y := Y
% 3.75/4.11 end
% 3.75/4.11
% 3.75/4.11 subsumption: (9876) {G25,W5,D2,L1,V2,M1} R(307,9007) { para( X, Y, X, Y )
% 3.75/4.11 }.
% 3.75/4.11 parent0: (20743) {G3,W5,D2,L1,V2,M1} { para( X, Y, X, Y ) }.
% 3.75/4.11 substitution0:
% 3.75/4.11 X := X
% 3.75/4.11 Y := Y
% 3.75/4.11 end
% 3.75/4.11 permutation0:
% 3.75/4.11 0 ==> 0
% 3.75/4.11 end
% 3.75/4.11
% 3.75/4.11 resolution: (20744) {G2,W10,D2,L2,V3,M2} { cyclic( Z, Y, X, X ), ! para( X
% 3.75/4.11 , Z, X, Z ) }.
% 3.75/4.11 parent0[0]: (847) {G1,W14,D2,L3,V3,M3} R(42,39) { ! coll( X, X, Y ), cyclic
% 3.75/4.11 ( Z, Y, X, X ), ! para( X, Z, X, Z ) }.
% 3.75/4.11 parent1[0]: (8298) {G15,W4,D2,L1,V3,M1} R(8285,2);r(8285) { coll( Z, Y, X )
% 3.75/4.11 }.
% 3.75/4.11 substitution0:
% 3.75/4.11 X := X
% 3.75/4.11 Y := Y
% 3.75/4.11 Z := Z
% 3.75/4.11 end
% 3.75/4.11 substitution1:
% 3.75/4.11 X := Y
% 3.75/4.11 Y := X
% 3.75/4.11 Z := X
% 3.75/4.11 end
% 3.75/4.11
% 3.75/4.11 resolution: (20745) {G3,W5,D2,L1,V3,M1} { cyclic( X, Y, Z, Z ) }.
% 3.75/4.11 parent0[1]: (20744) {G2,W10,D2,L2,V3,M2} { cyclic( Z, Y, X, X ), ! para( X
% 3.75/4.11 , Z, X, Z ) }.
% 3.75/4.11 parent1[0]: (9876) {G25,W5,D2,L1,V2,M1} R(307,9007) { para( X, Y, X, Y )
% 3.75/4.11 }.
% 3.75/4.11 substitution0:
% 3.75/4.11 X := Z
% 3.75/4.11 Y := Y
% 3.75/4.11 Z := X
% 3.75/4.11 end
% 3.75/4.11 substitution1:
% 3.75/4.11 X := Z
% 3.75/4.11 Y := X
% 3.75/4.11 end
% 3.75/4.11
% 3.75/4.11 subsumption: (20063) {G26,W5,D2,L1,V3,M1} S(847);r(8298);r(9876) { cyclic(
% 3.75/4.11 Z, Y, X, X ) }.
% 3.75/4.11 parent0: (20745) {G3,W5,D2,L1,V3,M1} { cyclic( X, Y, Z, Z ) }.
% 3.75/4.11 substitution0:
% 3.75/4.11 X := Z
% 3.75/4.11 Y := Y
% 3.75/4.11 Z := X
% 3.75/4.11 end
% 3.75/4.11 permutation0:
% 3.75/4.11 0 ==> 0
% 3.75/4.11 end
% 3.75/4.11
% 3.75/4.11 resolution: (20746) {G2,W5,D2,L1,V3,M1} { cyclic( Y, Z, X, Z ) }.
% 3.75/4.11 parent0[0]: (376) {G1,W10,D2,L2,V4,M2} R(15,14) { ! cyclic( X, Y, Z, T ),
% 3.75/4.11 cyclic( Y, Z, X, T ) }.
% 3.75/4.11 parent1[0]: (20063) {G26,W5,D2,L1,V3,M1} S(847);r(8298);r(9876) { cyclic( Z
% 3.75/4.11 , Y, X, X ) }.
% 3.75/4.11 substitution0:
% 3.75/4.11 X := X
% 3.75/4.11 Y := Y
% 3.75/4.11 Z := Z
% 3.75/4.11 T := Z
% 3.75/4.11 end
% 3.75/4.11 substitution1:
% 3.75/4.11 X := Z
% 3.75/4.11 Y := Y
% 3.75/4.11 Z := X
% 3.75/4.11 end
% 3.75/4.11
% 3.75/4.11 subsumption: (20105) {G27,W5,D2,L1,V3,M1} R(20063,376) { cyclic( X, Y, Z, Y
% 3.75/4.11 ) }.
% 3.75/4.11 parent0: (20746) {G2,W5,D2,L1,V3,M1} { cyclic( Y, Z, X, Z ) }.
% 3.75/4.11 substitution0:
% 3.75/4.11 X := Z
% 3.75/4.11 Y := X
% 3.75/4.11 Z := Y
% 3.75/4.11 end
% 3.75/4.11 permutation0:
% 3.75/4.11 0 ==> 0
% 3.75/4.11 end
% 3.75/4.11
% 3.75/4.11 resolution: (20747) {G2,W5,D2,L1,V3,M1} { cyclic( X, Z, Z, Y ) }.
% 3.75/4.11 parent0[0]: (365) {G1,W10,D2,L2,V4,M2} R(14,13) { ! cyclic( X, Y, Z, T ),
% 3.75/4.11 cyclic( X, Z, T, Y ) }.
% 3.75/4.11 parent1[0]: (20063) {G26,W5,D2,L1,V3,M1} S(847);r(8298);r(9876) { cyclic( Z
% 3.75/4.11 , Y, X, X ) }.
% 3.75/4.11 substitution0:
% 3.75/4.11 X := X
% 3.75/4.11 Y := Y
% 3.75/4.11 Z := Z
% 3.75/4.11 T := Z
% 3.75/4.11 end
% 3.75/4.11 substitution1:
% 3.75/4.11 X := Z
% 3.75/4.11 Y := Y
% 3.75/4.11 Z := X
% 3.75/4.11 end
% 3.75/4.11
% 3.75/4.11 subsumption: (20107) {G27,W5,D2,L1,V3,M1} R(20063,365) { cyclic( X, Y, Y, Z
% 3.75/4.11 ) }.
% 3.75/4.11 parent0: (20747) {G2,W5,D2,L1,V3,M1} { cyclic( X, Z, Z, Y ) }.
% 3.75/4.11 substitution0:
% 3.75/4.11 X := X
% 3.75/4.11 Y := Z
% 3.75/4.11 Z := Y
% 3.75/4.11 end
% 3.75/4.11 permutation0:
% 3.75/4.11 0 ==> 0
% 3.75/4.11 end
% 3.75/4.11
% 3.75/4.11 resolution: (20749) {G2,W10,D2,L2,V4,M2} { ! cyclic( X, Y, Y, Z ), cyclic
% 3.75/4.11 ( Y, Y, Z, T ) }.
% 3.75/4.11 parent0[2]: (402) {G1,W15,D2,L3,V5,M3} R(16,13) { ! cyclic( X, Y, Z, T ),
% 3.75/4.11 cyclic( Y, Z, T, U ), ! cyclic( X, Y, U, Z ) }.
% 3.75/4.11 parent1[0]: (20105) {G27,W5,D2,L1,V3,M1} R(20063,376) { cyclic( X, Y, Z, Y
% 3.75/4.11 ) }.
% 3.75/4.11 substitution0:
% 3.75/4.11 X := X
% 3.75/4.11 Y := Y
% 3.75/4.11 Z := Y
% 3.75/4.11 T := Z
% 3.75/4.11 U := T
% 3.75/4.11 end
% 3.75/4.11 substitution1:
% 3.75/4.11 X := X
% 3.75/4.11 Y := Y
% 3.75/4.11 Z := T
% 3.75/4.11 end
% 3.75/4.11
% 3.75/4.11 resolution: (20750) {G3,W5,D2,L1,V3,M1} { cyclic( Y, Y, Z, T ) }.
% 3.75/4.11 parent0[0]: (20749) {G2,W10,D2,L2,V4,M2} { ! cyclic( X, Y, Y, Z ), cyclic
% 3.75/4.11 ( Y, Y, Z, T ) }.
% 3.75/4.11 parent1[0]: (20107) {G27,W5,D2,L1,V3,M1} R(20063,365) { cyclic( X, Y, Y, Z
% 3.75/4.11 ) }.
% 3.75/4.11 substitution0:
% 3.75/4.11 X := X
% 3.75/4.11 Y := Y
% 3.75/4.11 Z := Z
% 3.75/4.11 T := T
% 3.75/4.11 end
% 3.75/4.11 substitution1:
% 3.75/4.11 X := X
% 3.75/4.11 Y := Y
% 3.75/4.11 Z := Z
% 3.75/4.11 end
% 3.75/4.11
% 3.75/4.11 subsumption: (20112) {G28,W5,D2,L1,V3,M1} R(20105,402);r(20107) { cyclic( Y
% 3.75/4.11 , Y, Z, T ) }.
% 3.75/4.11 parent0: (20750) {G3,W5,D2,L1,V3,M1} { cyclic( Y, Y, Z, T ) }.
% 3.75/4.11 substitution0:
% 3.75/4.11 X := U
% 3.75/4.11 Y := Y
% 3.75/4.11 Z := Z
% 3.75/4.11 T := T
% 3.75/4.11 end
% 3.75/4.11 permutation0:
% 3.75/4.11 0 ==> 0
% 3.75/4.11 end
% 3.75/4.11
% 3.75/4.11 resolution: (20751) {G14,W5,D2,L1,V0,M1} { ! cyclic( skol22, skol22,
% 3.75/4.11 skol24, skol20 ) }.
% 3.75/4.11 parent0[0]: (483) {G13,W10,D2,L2,V1,M2} R(481,16) { ! cyclic( X, skol22,
% 3.75/4.11 skol24, skol23 ), ! cyclic( X, skol22, skol24, skol20 ) }.
% 3.75/4.11 parent1[0]: (20112) {G28,W5,D2,L1,V3,M1} R(20105,402);r(20107) { cyclic( Y
% 3.75/4.11 , Y, Z, T ) }.
% 3.75/4.11 substitution0:
% 3.75/4.11 X := skol22
% 3.75/4.11 end
% 3.75/4.11 substitution1:
% 3.75/4.11 X := X
% 3.75/4.11 Y := skol22
% 3.75/4.11 Z := skol24
% 3.75/4.11 T := skol23
% 3.75/4.11 end
% 3.75/4.11
% 3.75/4.11 resolution: (20753) {G15,W0,D0,L0,V0,M0} { }.
% 3.75/4.11 parent0[0]: (20751) {G14,W5,D2,L1,V0,M1} { ! cyclic( skol22, skol22,
% 3.75/4.11 skol24, skol20 ) }.
% 3.75/4.11 parent1[0]: (20112) {G28,W5,D2,L1,V3,M1} R(20105,402);r(20107) { cyclic( Y
% 3.75/4.11 , Y, Z, T ) }.
% 3.75/4.11 substitution0:
% 3.75/4.11 end
% 3.75/4.11 substitution1:
% 3.75/4.11 X := X
% 3.75/4.11 Y := skol22
% 3.75/4.11 Z := skol24
% 3.75/4.11 T := skol20
% 3.75/4.11 end
% 3.75/4.11
% 3.75/4.11 subsumption: (20120) {G29,W0,D0,L0,V0,M0} R(20112,483);r(20112) { }.
% 3.75/4.11 parent0: (20753) {G15,W0,D0,L0,V0,M0} { }.
% 3.75/4.11 substitution0:
% 3.75/4.11 end
% 3.75/4.11 permutation0:
% 3.75/4.11 end
% 3.75/4.11
% 3.75/4.11 Proof check complete!
% 3.75/4.11
% 3.75/4.11 Memory use:
% 3.75/4.11
% 3.75/4.11 space for terms: 329745
% 3.75/4.11 space for clauses: 991239
% 3.75/4.11
% 3.75/4.11
% 3.75/4.11 clauses generated: 133294
% 3.75/4.11 clauses kept: 20121
% 3.75/4.11 clauses selected: 2009
% 3.75/4.11 clauses deleted: 6819
% 3.75/4.11 clauses inuse deleted: 598
% 3.75/4.11
% 3.75/4.11 subsentry: 2084117
% 3.75/4.11 literals s-matched: 1391719
% 3.75/4.11 literals matched: 803018
% 3.75/4.11 full subsumption: 293223
% 3.75/4.11
% 3.75/4.11 checksum: 1283182291
% 3.75/4.11
% 3.75/4.11
% 3.75/4.11 Bliksem ended
%------------------------------------------------------------------------------