TSTP Solution File: GEO658+1 by Bliksem---1.12
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : GEO658+1 : TPTP v8.1.0. Released v7.5.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n019.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 0s
% DateTime : Sat Jul 16 02:55:25 EDT 2022
% Result : Theorem 15.24s 15.60s
% Output : Refutation 15.24s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : GEO658+1 : TPTP v8.1.0. Released v7.5.0.
% 0.12/0.12 % Command : bliksem %s
% 0.12/0.33 % Computer : n019.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % DateTime : Sat Jun 18 07:57:39 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.71/1.15 *** allocated 10000 integers for termspace/termends
% 0.71/1.15 *** allocated 10000 integers for clauses
% 0.71/1.15 *** allocated 10000 integers for justifications
% 0.71/1.15 Bliksem 1.12
% 0.71/1.15
% 0.71/1.15
% 0.71/1.15 Automatic Strategy Selection
% 0.71/1.15
% 0.71/1.15 *** allocated 15000 integers for termspace/termends
% 0.71/1.15
% 0.71/1.15 Clauses:
% 0.71/1.15
% 0.71/1.15 { ! coll( X, Y, Z ), coll( X, Z, Y ) }.
% 0.71/1.15 { ! coll( X, Y, Z ), coll( Y, X, Z ) }.
% 0.71/1.15 { ! coll( X, T, Y ), ! coll( X, T, Z ), coll( Y, Z, X ) }.
% 0.71/1.15 { ! para( X, Y, Z, T ), para( X, Y, T, Z ) }.
% 0.71/1.15 { ! para( X, Y, Z, T ), para( Z, T, X, Y ) }.
% 0.71/1.15 { ! para( X, Y, U, W ), ! para( U, W, Z, T ), para( X, Y, Z, T ) }.
% 0.71/1.15 { ! perp( X, Y, Z, T ), perp( X, Y, T, Z ) }.
% 0.71/1.15 { ! perp( X, Y, Z, T ), perp( Z, T, X, Y ) }.
% 0.71/1.15 { ! perp( X, Y, U, W ), ! perp( U, W, Z, T ), para( X, Y, Z, T ) }.
% 0.71/1.15 { ! para( X, Y, U, W ), ! perp( U, W, Z, T ), perp( X, Y, Z, T ) }.
% 0.71/1.15 { ! midp( Z, Y, X ), midp( Z, X, Y ) }.
% 0.71/1.15 { ! cong( T, X, T, Y ), ! cong( T, X, T, Z ), circle( T, X, Y, Z ) }.
% 0.71/1.15 { ! cong( U, X, U, Y ), ! cong( U, X, U, Z ), ! cong( U, X, U, T ), cyclic
% 0.71/1.15 ( X, Y, Z, T ) }.
% 0.71/1.15 { ! cyclic( X, Y, Z, T ), cyclic( X, Y, T, Z ) }.
% 0.71/1.15 { ! cyclic( X, Y, Z, T ), cyclic( X, Z, Y, T ) }.
% 0.71/1.15 { ! cyclic( X, Y, Z, T ), cyclic( Y, X, Z, T ) }.
% 0.71/1.15 { ! cyclic( U, X, Y, Z ), ! cyclic( U, X, Y, T ), cyclic( X, Y, Z, T ) }.
% 0.71/1.15 { ! eqangle( X, Y, Z, T, U, W, V0, V1 ), eqangle( Y, X, Z, T, U, W, V0, V1
% 0.71/1.15 ) }.
% 0.71/1.15 { ! eqangle( X, Y, Z, T, U, W, V0, V1 ), eqangle( Z, T, X, Y, V0, V1, U, W
% 0.71/1.15 ) }.
% 0.71/1.15 { ! eqangle( X, Y, Z, T, U, W, V0, V1 ), eqangle( U, W, V0, V1, X, Y, Z, T
% 0.71/1.15 ) }.
% 0.71/1.15 { ! eqangle( X, Y, Z, T, U, W, V0, V1 ), eqangle( X, Y, U, W, Z, T, V0, V1
% 0.71/1.15 ) }.
% 0.71/1.15 { ! eqangle( X, Y, Z, T, V2, V3, V4, V5 ), ! eqangle( V2, V3, V4, V5, U, W
% 0.71/1.15 , V0, V1 ), eqangle( X, Y, Z, T, U, W, V0, V1 ) }.
% 0.71/1.15 { ! cong( X, Y, Z, T ), cong( X, Y, T, Z ) }.
% 0.71/1.15 { ! cong( X, Y, Z, T ), cong( Z, T, X, Y ) }.
% 0.71/1.15 { ! cong( X, Y, U, W ), ! cong( U, W, Z, T ), cong( X, Y, Z, T ) }.
% 0.71/1.15 { ! eqratio( X, Y, Z, T, U, W, V0, V1 ), eqratio( Y, X, Z, T, U, W, V0, V1
% 0.71/1.15 ) }.
% 0.71/1.15 { ! eqratio( X, Y, Z, T, U, W, V0, V1 ), eqratio( Z, T, X, Y, V0, V1, U, W
% 0.71/1.15 ) }.
% 0.71/1.15 { ! eqratio( X, Y, Z, T, U, W, V0, V1 ), eqratio( U, W, V0, V1, X, Y, Z, T
% 0.71/1.15 ) }.
% 0.71/1.15 { ! eqratio( X, Y, Z, T, U, W, V0, V1 ), eqratio( X, Y, U, W, Z, T, V0, V1
% 0.71/1.15 ) }.
% 0.71/1.15 { ! eqratio( X, Y, Z, T, V2, V3, V4, V5 ), ! eqratio( V2, V3, V4, V5, U, W
% 0.71/1.15 , V0, V1 ), eqratio( X, Y, Z, T, U, W, V0, V1 ) }.
% 0.71/1.15 { ! simtri( X, Z, Y, T, W, U ), simtri( X, Y, Z, T, U, W ) }.
% 0.71/1.15 { ! simtri( Y, X, Z, U, T, W ), simtri( X, Y, Z, T, U, W ) }.
% 0.71/1.15 { ! simtri( T, U, W, X, Y, Z ), simtri( X, Y, Z, T, U, W ) }.
% 0.71/1.15 { ! simtri( X, Y, Z, V0, V1, V2 ), ! simtri( V0, V1, V2, T, U, W ), simtri
% 0.71/1.15 ( X, Y, Z, T, U, W ) }.
% 0.71/1.15 { ! contri( X, Z, Y, T, W, U ), contri( X, Y, Z, T, U, W ) }.
% 0.71/1.15 { ! contri( Y, X, Z, U, T, W ), contri( X, Y, Z, T, U, W ) }.
% 0.71/1.15 { ! contri( T, U, W, X, Y, Z ), contri( X, Y, Z, T, U, W ) }.
% 0.71/1.15 { ! contri( X, Y, Z, V0, V1, V2 ), ! contri( V0, V1, V2, T, U, W ), contri
% 0.71/1.15 ( X, Y, Z, T, U, W ) }.
% 0.71/1.15 { ! eqangle( X, Y, U, W, Z, T, U, W ), para( X, Y, Z, T ) }.
% 0.71/1.15 { ! para( X, Y, Z, T ), eqangle( X, Y, U, W, Z, T, U, W ) }.
% 0.71/1.15 { ! cyclic( X, Y, Z, T ), eqangle( Z, X, Z, Y, T, X, T, Y ) }.
% 0.71/1.15 { ! eqangle( Z, X, Z, Y, T, X, T, Y ), coll( Z, T, X ), cyclic( X, Y, Z, T
% 0.71/1.15 ) }.
% 0.71/1.15 { ! eqangle( Z, X, Z, Y, T, X, T, Y ), ! coll( Z, T, Y ), cyclic( X, Y, Z,
% 0.71/1.15 T ) }.
% 0.71/1.15 { ! cyclic( X, Y, U, Z ), ! cyclic( X, Y, U, T ), ! cyclic( X, Y, U, W ), !
% 0.71/1.15 eqangle( U, X, U, Y, W, Z, W, T ), cong( X, Y, Z, T ) }.
% 0.71/1.15 { ! midp( Z, U, X ), ! midp( T, U, Y ), para( Z, T, X, Y ) }.
% 0.71/1.15 { ! midp( U, X, T ), ! para( U, Z, T, Y ), ! coll( Z, X, Y ), midp( Z, X, Y
% 0.71/1.15 ) }.
% 0.71/1.15 { ! cong( Z, X, Z, Y ), eqangle( Z, X, X, Y, X, Y, Z, Y ) }.
% 0.71/1.15 { ! eqangle( Z, X, X, Y, X, Y, Z, Y ), coll( Z, X, Y ), cong( Z, X, Z, Y )
% 0.71/1.15 }.
% 0.71/1.15 { ! circle( U, X, Y, Z ), ! perp( U, X, X, T ), eqangle( X, T, X, Y, Z, X,
% 0.71/1.15 Z, Y ) }.
% 0.71/1.15 { ! circle( Y, X, T, U ), ! eqangle( X, Z, X, T, U, X, U, T ), perp( Y, X,
% 0.71/1.15 X, Z ) }.
% 0.71/1.15 { ! circle( T, X, Y, Z ), ! midp( U, Y, Z ), eqangle( X, Y, X, Z, T, Y, T,
% 0.71/1.15 U ) }.
% 0.71/1.15 { ! circle( U, T, X, Y ), ! coll( Z, X, Y ), ! eqangle( T, X, T, Y, U, X, U
% 0.71/1.15 , Z ), midp( Z, X, Y ) }.
% 0.71/1.15 { ! perp( X, Y, Y, T ), ! midp( Z, X, T ), cong( X, Z, Y, Z ) }.
% 0.71/1.15 { ! circle( T, X, Y, Z ), ! coll( T, X, Z ), perp( X, Y, Y, Z ) }.
% 0.71/1.15 { ! cyclic( X, Y, Z, T ), ! para( X, Y, Z, T ), eqangle( X, T, Z, T, Z, T,
% 0.71/1.15 Z, Y ) }.
% 0.71/1.15 { ! midp( T, X, Y ), ! perp( Z, T, X, Y ), cong( Z, X, Z, Y ) }.
% 0.71/1.15 { ! cong( X, Z, Y, Z ), ! cong( X, T, Y, T ), perp( X, Y, Z, T ) }.
% 0.71/1.15 { ! cong( X, Y, T, Y ), ! cong( X, Z, T, Z ), ! cyclic( X, T, Y, Z ), perp
% 0.71/1.15 ( Y, X, X, Z ) }.
% 0.71/1.15 { ! eqangle( X, Y, Y, Z, T, U, U, W ), ! eqangle( X, Z, Y, Z, T, W, U, W )
% 0.71/1.15 , coll( X, Y, Z ), simtri( X, Y, Z, T, U, W ) }.
% 0.71/1.15 { ! simtri( X, Y, Z, T, U, W ), eqratio( X, Y, X, Z, T, U, T, W ) }.
% 0.71/1.15 { ! simtri( X, Y, Z, T, U, W ), eqangle( X, Y, Y, Z, T, U, U, W ) }.
% 0.71/1.15 { ! simtri( X, Y, Z, T, U, W ), ! cong( X, Y, T, U ), contri( X, Y, Z, T, U
% 0.71/1.15 , W ) }.
% 0.71/1.15 { ! contri( X, Y, U, Z, T, W ), cong( X, Y, Z, T ) }.
% 0.71/1.15 { ! midp( U, X, Y ), ! midp( U, Z, T ), para( X, Z, Y, T ) }.
% 0.71/1.15 { ! midp( Z, T, U ), ! para( T, X, U, Y ), ! para( T, Y, U, X ), midp( Z, X
% 0.71/1.15 , Y ) }.
% 0.71/1.15 { ! para( X, Y, Z, T ), ! coll( U, X, Z ), ! coll( U, Y, T ), eqratio( U, X
% 0.71/1.15 , X, Z, U, Y, Y, T ) }.
% 0.71/1.15 { ! para( X, Y, X, Z ), coll( X, Y, Z ) }.
% 0.71/1.15 { ! cong( X, Y, X, Z ), ! coll( X, Y, Z ), midp( X, Y, Z ) }.
% 0.71/1.15 { ! midp( X, Y, Z ), cong( X, Y, X, Z ) }.
% 0.71/1.15 { ! midp( X, Y, Z ), coll( X, Y, Z ) }.
% 0.71/1.15 { ! midp( U, X, Y ), ! midp( W, Z, T ), eqratio( U, X, X, Y, W, Z, Z, T ) }
% 0.71/1.15 .
% 0.71/1.15 { ! eqangle( X, Y, Z, T, Z, T, X, Y ), para( X, Y, Z, T ), perp( X, Y, Z, T
% 0.71/1.15 ) }.
% 0.71/1.15 { ! eqangle( X, Y, Z, T, Z, T, X, Y ), perp( X, Y, Z, T ), para( X, Y, Z, T
% 0.71/1.15 ) }.
% 0.71/1.15 { ! eqangle( X, Y, Z, T, U, W, V0, V1 ), ! para( U, W, V0, V1 ), para( X, Y
% 0.71/1.15 , Z, T ) }.
% 0.71/1.15 { ! eqangle( X, Y, Z, T, U, W, V0, V1 ), ! perp( U, W, V0, V1 ), perp( X, Y
% 0.71/1.15 , Z, T ) }.
% 0.71/1.15 { ! eqratio( X, Y, Z, T, U, W, V0, V1 ), ! cong( U, W, V0, V1 ), cong( X, Y
% 0.71/1.15 , Z, T ) }.
% 0.71/1.15 { ! perp( Z, Y, Y, X ), ! eqangle( T, Z, Y, Z, Y, Z, X, Z ), coll( skol1( U
% 0.71/1.15 , W, Z, T ), Z, T ) }.
% 0.71/1.15 { ! perp( Z, Y, Y, X ), ! eqangle( T, Z, Y, Z, Y, Z, X, Z ), coll( skol1( X
% 0.71/1.15 , Y, Z, T ), X, Y ) }.
% 0.71/1.15 { ! cong( Z, X, Z, Y ), ! eqangle( X, Z, Z, T, Z, T, Z, Y ), coll( skol2( U
% 0.71/1.15 , W, Z, T ), Z, T ) }.
% 0.71/1.15 { ! cong( Z, X, Z, Y ), ! eqangle( X, Z, Z, T, Z, T, Z, Y ), coll( Y, X,
% 0.71/1.15 skol2( X, Y, Z, T ) ) }.
% 0.71/1.15 { ! perp( Z, T, X, Y ), ! eqangle( X, Z, Z, T, Z, T, Z, Y ), coll( skol3( U
% 0.71/1.15 , W, Z, T ), Z, T ) }.
% 0.71/1.15 { ! perp( Z, T, X, Y ), ! eqangle( X, Z, Z, T, Z, T, Z, Y ), coll( Y, X,
% 0.71/1.15 skol3( X, Y, Z, T ) ) }.
% 0.71/1.15 { ! perp( Z, T, X, Y ), ! cong( Z, X, Z, Y ), coll( skol4( U, W, Z, T ), Z
% 0.71/1.15 , T ) }.
% 0.71/1.15 { ! perp( Z, T, X, Y ), ! cong( Z, X, Z, Y ), coll( Y, X, skol4( X, Y, Z, T
% 0.71/1.15 ) ) }.
% 0.71/1.15 { ! eqangle( X, Z, Y, Z, X, T, Y, U ), coll( X, Y, Z ), cyclic( T, Y, Z,
% 0.71/1.15 skol5( W, Y, Z, T ) ) }.
% 0.71/1.15 { ! eqangle( X, Z, Y, Z, X, T, Y, U ), coll( X, Y, Z ), eqangle( X, Z, Y, Z
% 0.71/1.15 , X, skol5( X, Y, Z, T ), Y, skol5( X, Y, Z, T ) ) }.
% 0.71/1.15 { ! midp( U, X, Y ), ! midp( W, Z, T ), midp( skol6( X, V0, V1, T, V2, V3 )
% 0.71/1.15 , X, T ) }.
% 0.71/1.15 { ! midp( U, X, Y ), ! midp( W, Z, T ), para( skol6( X, V0, Z, T, V1, W ),
% 0.71/1.15 W, X, Z ) }.
% 0.71/1.15 { ! midp( U, X, Y ), ! midp( W, Z, T ), para( skol6( X, Y, Z, T, U, W ), U
% 0.71/1.15 , Y, T ) }.
% 0.71/1.15 { ! midp( Z, X, Y ), ! midp( W, T, U ), ! coll( T, X, Y ), ! coll( U, X, Y
% 0.71/1.15 ), midp( skol7( X, V0 ), X, V0 ) }.
% 0.71/1.15 { ! midp( T, X, U ), ! para( X, W, Z, T ), ! para( X, W, U, Y ), ! coll( W
% 0.71/1.15 , Y, Z ), coll( skol8( V0, V1, Z, T ), T, Z ) }.
% 0.71/1.15 { ! midp( T, X, U ), ! para( X, W, Z, T ), ! para( X, W, U, Y ), ! coll( W
% 0.71/1.15 , Y, Z ), coll( skol8( X, Y, Z, T ), X, Y ) }.
% 0.71/1.15 { ! cong( T, Z, T, U ), ! perp( X, Y, Y, T ), cong( T, Z, T, skol9( W, V0,
% 0.71/1.15 Z, T ) ) }.
% 0.71/1.15 { ! cong( T, Z, T, U ), ! perp( X, Y, Y, T ), cong( Y, Z, Y, skol9( W, Y, Z
% 0.71/1.15 , T ) ) }.
% 0.71/1.15 { ! cong( T, Z, T, U ), ! perp( X, Y, Y, T ), para( skol9( X, Y, Z, T ), Z
% 0.71/1.15 , X, Y ) }.
% 0.71/1.15 { ! perp( X, T, Y, Z ), ! perp( Y, T, X, Z ), coll( skol10( U, Y, Z ), Z, Y
% 0.71/1.15 ) }.
% 0.71/1.15 { ! perp( X, T, Y, Z ), ! perp( Y, T, X, Z ), perp( X, skol10( X, Y, Z ), Z
% 0.71/1.15 , Y ) }.
% 0.71/1.15 { ! perp( X, T, Y, Z ), ! perp( Y, T, X, Z ), alpha1( X, Y, Z ) }.
% 0.71/1.15 { ! alpha1( X, Y, Z ), coll( skol11( X, T, Z ), Z, X ) }.
% 0.71/1.15 { ! alpha1( X, Y, Z ), perp( Y, skol11( X, Y, Z ), Z, X ) }.
% 0.71/1.15 { ! coll( T, Z, X ), ! perp( Y, T, Z, X ), alpha1( X, Y, Z ) }.
% 0.71/1.15 { ! circle( Y, X, Z, T ), perp( skol12( X, Y ), X, X, Y ) }.
% 3.81/4.25 { ! circle( W, X, Y, Z ), ! cong( W, X, W, T ), ! cong( U, X, U, Y ), W = U
% 3.81/4.25 , alpha2( X, Z, U, skol13( X, V0, Z, V1, U ) ) }.
% 3.81/4.25 { ! circle( W, X, Y, Z ), ! cong( W, X, W, T ), ! cong( U, X, U, Y ), W = U
% 3.81/4.25 , coll( skol21( V0, Y, T, V1 ), Y, T ) }.
% 3.81/4.25 { ! circle( W, X, Y, Z ), ! cong( W, X, W, T ), ! cong( U, X, U, Y ), W = U
% 3.81/4.25 , cong( skol21( X, Y, T, U ), U, U, X ) }.
% 3.81/4.25 { ! alpha2( X, Y, Z, T ), coll( T, X, Y ) }.
% 3.81/4.25 { ! alpha2( X, Y, Z, T ), cong( T, Z, Z, X ) }.
% 3.81/4.25 { ! coll( T, X, Y ), ! cong( T, Z, Z, X ), alpha2( X, Y, Z, T ) }.
% 3.81/4.25 { ! cyclic( X, Y, Z, T ), ! para( X, Y, Z, T ), ! midp( U, X, Y ), circle(
% 3.81/4.25 skol14( X, Y, Z ), X, Y, Z ) }.
% 3.81/4.25 { ! perp( X, Z, Z, Y ), ! cyclic( X, Y, Z, T ), circle( skol15( X, Y, Z ),
% 3.81/4.25 X, Y, Z ) }.
% 3.81/4.25 { ! perp( X, U, U, T ), ! coll( T, Y, Z ), coll( skol16( W, Y, Z ), Y, Z )
% 3.81/4.25 }.
% 3.81/4.25 { ! perp( X, U, U, T ), ! coll( T, Y, Z ), perp( skol16( X, Y, Z ), X, Y, Z
% 3.81/4.25 ) }.
% 3.81/4.25 { ! perp( X, Z, X, Y ), ! perp( Y, X, Y, T ), ! midp( U, Z, T ), midp(
% 3.81/4.25 skol17( X, Y ), X, Y ) }.
% 3.81/4.25 { ! cong( Y, X, Y, Z ), ! perp( X, Y, Y, Z ), coll( X, Y, skol18( X, Y ) )
% 3.81/4.25 }.
% 3.81/4.25 { ! cong( Y, X, Y, Z ), ! perp( X, Y, Y, Z ), cong( Y, X, Y, skol18( X, Y )
% 3.81/4.25 ) }.
% 3.81/4.25 { ! para( U, W, X, Y ), ! coll( Z, U, X ), ! coll( Z, W, Y ), ! coll( T, U
% 3.81/4.25 , W ), coll( Z, T, skol19( V0, V1, Z, T ) ) }.
% 3.81/4.25 { ! para( U, W, X, Y ), ! coll( Z, U, X ), ! coll( Z, W, Y ), ! coll( T, U
% 3.81/4.25 , W ), coll( skol19( X, Y, Z, T ), X, Y ) }.
% 3.81/4.25 { para( skol25, skol26, skol27, skol28 ) }.
% 3.81/4.25 { para( skol25, skol27, skol26, skol28 ) }.
% 3.81/4.25 { coll( skol29, skol25, skol27 ) }.
% 3.81/4.25 { perp( skol20, skol29, skol27, skol28 ) }.
% 3.81/4.25 { coll( skol20, skol27, skol28 ) }.
% 3.81/4.25 { perp( skol22, skol29, skol26, skol27 ) }.
% 3.81/4.25 { coll( skol22, skol26, skol27 ) }.
% 3.81/4.25 { coll( skol23, skol29, skol22 ) }.
% 3.81/4.25 { coll( skol23, skol25, skol28 ) }.
% 3.81/4.25 { coll( skol24, skol29, skol20 ) }.
% 3.81/4.25 { coll( skol24, skol25, skol26 ) }.
% 3.81/4.25 { ! para( skol22, skol20, skol23, skol24 ) }.
% 3.81/4.25
% 3.81/4.25 percentage equality = 0.008671, percentage horn = 0.929688
% 3.81/4.25 This is a problem with some equality
% 3.81/4.25
% 3.81/4.25
% 3.81/4.25
% 3.81/4.25 Options Used:
% 3.81/4.25
% 3.81/4.25 useres = 1
% 3.81/4.25 useparamod = 1
% 3.81/4.25 useeqrefl = 1
% 3.81/4.25 useeqfact = 1
% 3.81/4.25 usefactor = 1
% 3.81/4.25 usesimpsplitting = 0
% 3.81/4.25 usesimpdemod = 5
% 3.81/4.25 usesimpres = 3
% 3.81/4.25
% 3.81/4.25 resimpinuse = 1000
% 3.81/4.25 resimpclauses = 20000
% 3.81/4.25 substype = eqrewr
% 3.81/4.25 backwardsubs = 1
% 3.81/4.25 selectoldest = 5
% 3.81/4.25
% 3.81/4.25 litorderings [0] = split
% 3.81/4.25 litorderings [1] = extend the termordering, first sorting on arguments
% 3.81/4.25
% 3.81/4.25 termordering = kbo
% 3.81/4.25
% 3.81/4.25 litapriori = 0
% 3.81/4.25 termapriori = 1
% 3.81/4.25 litaposteriori = 0
% 3.81/4.25 termaposteriori = 0
% 3.81/4.25 demodaposteriori = 0
% 3.81/4.25 ordereqreflfact = 0
% 3.81/4.25
% 3.81/4.25 litselect = negord
% 3.81/4.25
% 3.81/4.25 maxweight = 15
% 3.81/4.25 maxdepth = 30000
% 3.81/4.25 maxlength = 115
% 3.81/4.25 maxnrvars = 195
% 3.81/4.25 excuselevel = 1
% 3.81/4.25 increasemaxweight = 1
% 3.81/4.25
% 3.81/4.25 maxselected = 10000000
% 3.81/4.25 maxnrclauses = 10000000
% 3.81/4.25
% 3.81/4.25 showgenerated = 0
% 3.81/4.25 showkept = 0
% 3.81/4.25 showselected = 0
% 3.81/4.25 showdeleted = 0
% 3.81/4.25 showresimp = 1
% 3.81/4.25 showstatus = 2000
% 3.81/4.25
% 3.81/4.25 prologoutput = 0
% 3.81/4.25 nrgoals = 5000000
% 3.81/4.25 totalproof = 1
% 3.81/4.25
% 3.81/4.25 Symbols occurring in the translation:
% 3.81/4.25
% 3.81/4.25 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 3.81/4.25 . [1, 2] (w:1, o:39, a:1, s:1, b:0),
% 3.81/4.25 ! [4, 1] (w:0, o:34, a:1, s:1, b:0),
% 3.81/4.25 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 3.81/4.25 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 3.81/4.25 coll [38, 3] (w:1, o:67, a:1, s:1, b:0),
% 3.81/4.25 para [40, 4] (w:1, o:75, a:1, s:1, b:0),
% 3.81/4.25 perp [43, 4] (w:1, o:76, a:1, s:1, b:0),
% 3.81/4.25 midp [45, 3] (w:1, o:68, a:1, s:1, b:0),
% 3.81/4.25 cong [47, 4] (w:1, o:77, a:1, s:1, b:0),
% 3.81/4.25 circle [48, 4] (w:1, o:78, a:1, s:1, b:0),
% 3.81/4.25 cyclic [49, 4] (w:1, o:79, a:1, s:1, b:0),
% 3.81/4.25 eqangle [54, 8] (w:1, o:94, a:1, s:1, b:0),
% 3.81/4.25 eqratio [57, 8] (w:1, o:95, a:1, s:1, b:0),
% 3.81/4.25 simtri [59, 6] (w:1, o:91, a:1, s:1, b:0),
% 3.81/4.25 contri [60, 6] (w:1, o:92, a:1, s:1, b:0),
% 3.81/4.25 alpha1 [65, 3] (w:1, o:69, a:1, s:1, b:1),
% 3.81/4.25 alpha2 [66, 4] (w:1, o:80, a:1, s:1, b:1),
% 3.81/4.25 skol1 [67, 4] (w:1, o:81, a:1, s:1, b:1),
% 3.81/4.25 skol2 [68, 4] (w:1, o:83, a:1, s:1, b:1),
% 3.81/4.25 skol3 [69, 4] (w:1, o:85, a:1, s:1, b:1),
% 3.81/4.25 skol4 [70, 4] (w:1, o:86, a:1, s:1, b:1),
% 3.81/4.25 skol5 [71, 4] (w:1, o:87, a:1, s:1, b:1),
% 15.24/15.60 skol6 [72, 6] (w:1, o:93, a:1, s:1, b:1),
% 15.24/15.60 skol7 [73, 2] (w:1, o:63, a:1, s:1, b:1),
% 15.24/15.60 skol8 [74, 4] (w:1, o:88, a:1, s:1, b:1),
% 15.24/15.60 skol9 [75, 4] (w:1, o:89, a:1, s:1, b:1),
% 15.24/15.60 skol10 [76, 3] (w:1, o:70, a:1, s:1, b:1),
% 15.24/15.60 skol11 [77, 3] (w:1, o:71, a:1, s:1, b:1),
% 15.24/15.60 skol12 [78, 2] (w:1, o:64, a:1, s:1, b:1),
% 15.24/15.60 skol13 [79, 5] (w:1, o:90, a:1, s:1, b:1),
% 15.24/15.60 skol14 [80, 3] (w:1, o:72, a:1, s:1, b:1),
% 15.24/15.60 skol15 [81, 3] (w:1, o:73, a:1, s:1, b:1),
% 15.24/15.60 skol16 [82, 3] (w:1, o:74, a:1, s:1, b:1),
% 15.24/15.60 skol17 [83, 2] (w:1, o:65, a:1, s:1, b:1),
% 15.24/15.60 skol18 [84, 2] (w:1, o:66, a:1, s:1, b:1),
% 15.24/15.60 skol19 [85, 4] (w:1, o:82, a:1, s:1, b:1),
% 15.24/15.60 skol20 [86, 0] (w:1, o:25, a:1, s:1, b:1),
% 15.24/15.60 skol21 [87, 4] (w:1, o:84, a:1, s:1, b:1),
% 15.24/15.60 skol22 [88, 0] (w:1, o:26, a:1, s:1, b:1),
% 15.24/15.60 skol23 [89, 0] (w:1, o:27, a:1, s:1, b:1),
% 15.24/15.60 skol24 [90, 0] (w:1, o:28, a:1, s:1, b:1),
% 15.24/15.60 skol25 [91, 0] (w:1, o:29, a:1, s:1, b:1),
% 15.24/15.60 skol26 [92, 0] (w:1, o:30, a:1, s:1, b:1),
% 15.24/15.60 skol27 [93, 0] (w:1, o:31, a:1, s:1, b:1),
% 15.24/15.60 skol28 [94, 0] (w:1, o:32, a:1, s:1, b:1),
% 15.24/15.60 skol29 [95, 0] (w:1, o:33, a:1, s:1, b:1).
% 15.24/15.60
% 15.24/15.60
% 15.24/15.60 Starting Search:
% 15.24/15.60
% 15.24/15.60 *** allocated 15000 integers for clauses
% 15.24/15.60 *** allocated 22500 integers for clauses
% 15.24/15.60 *** allocated 33750 integers for clauses
% 15.24/15.60 *** allocated 50625 integers for clauses
% 15.24/15.60 *** allocated 22500 integers for termspace/termends
% 15.24/15.60 *** allocated 75937 integers for clauses
% 15.24/15.60 Resimplifying inuse:
% 15.24/15.60 Done
% 15.24/15.60
% 15.24/15.60 *** allocated 33750 integers for termspace/termends
% 15.24/15.60 *** allocated 113905 integers for clauses
% 15.24/15.60 *** allocated 50625 integers for termspace/termends
% 15.24/15.60
% 15.24/15.60 Intermediate Status:
% 15.24/15.60 Generated: 8002
% 15.24/15.60 Kept: 2021
% 15.24/15.60 Inuse: 300
% 15.24/15.60 Deleted: 0
% 15.24/15.60 Deletedinuse: 0
% 15.24/15.60
% 15.24/15.60 Resimplifying inuse:
% 15.24/15.60 Done
% 15.24/15.60
% 15.24/15.60 *** allocated 170857 integers for clauses
% 15.24/15.60 *** allocated 75937 integers for termspace/termends
% 15.24/15.60 Resimplifying inuse:
% 15.24/15.60 Done
% 15.24/15.60
% 15.24/15.60 *** allocated 256285 integers for clauses
% 15.24/15.60 *** allocated 113905 integers for termspace/termends
% 15.24/15.60
% 15.24/15.60 Intermediate Status:
% 15.24/15.60 Generated: 17726
% 15.24/15.60 Kept: 4021
% 15.24/15.60 Inuse: 458
% 15.24/15.60 Deleted: 0
% 15.24/15.60 Deletedinuse: 0
% 15.24/15.60
% 15.24/15.60 Resimplifying inuse:
% 15.24/15.60 Done
% 15.24/15.60
% 15.24/15.60 *** allocated 384427 integers for clauses
% 15.24/15.60 Resimplifying inuse:
% 15.24/15.60 Done
% 15.24/15.60
% 15.24/15.60 *** allocated 170857 integers for termspace/termends
% 15.24/15.60
% 15.24/15.60 Intermediate Status:
% 15.24/15.60 Generated: 30089
% 15.24/15.60 Kept: 6096
% 15.24/15.60 Inuse: 531
% 15.24/15.60 Deleted: 1
% 15.24/15.60 Deletedinuse: 1
% 15.24/15.60
% 15.24/15.60 Resimplifying inuse:
% 15.24/15.60 Done
% 15.24/15.60
% 15.24/15.60 Resimplifying inuse:
% 15.24/15.60 Done
% 15.24/15.60
% 15.24/15.60 *** allocated 576640 integers for clauses
% 15.24/15.60
% 15.24/15.60 Intermediate Status:
% 15.24/15.60 Generated: 44709
% 15.24/15.60 Kept: 8201
% 15.24/15.60 Inuse: 660
% 15.24/15.60 Deleted: 2
% 15.24/15.60 Deletedinuse: 1
% 15.24/15.60
% 15.24/15.60 Resimplifying inuse:
% 15.24/15.60 Done
% 15.24/15.60
% 15.24/15.60 *** allocated 256285 integers for termspace/termends
% 15.24/15.60 Resimplifying inuse:
% 15.24/15.60 Done
% 15.24/15.60
% 15.24/15.60
% 15.24/15.60 Intermediate Status:
% 15.24/15.60 Generated: 75236
% 15.24/15.60 Kept: 10443
% 15.24/15.60 Inuse: 764
% 15.24/15.60 Deleted: 4
% 15.24/15.60 Deletedinuse: 2
% 15.24/15.60
% 15.24/15.60 Resimplifying inuse:
% 15.24/15.60 Done
% 15.24/15.60
% 15.24/15.60 Resimplifying inuse:
% 15.24/15.60 Done
% 15.24/15.60
% 15.24/15.60 *** allocated 864960 integers for clauses
% 15.24/15.60
% 15.24/15.60 Intermediate Status:
% 15.24/15.60 Generated: 89173
% 15.24/15.60 Kept: 12566
% 15.24/15.60 Inuse: 859
% 15.24/15.60 Deleted: 6
% 15.24/15.60 Deletedinuse: 4
% 15.24/15.60
% 15.24/15.60 Resimplifying inuse:
% 15.24/15.60 Done
% 15.24/15.60
% 15.24/15.60 Resimplifying inuse:
% 15.24/15.60 Done
% 15.24/15.60
% 15.24/15.60
% 15.24/15.60 Intermediate Status:
% 15.24/15.60 Generated: 101365
% 15.24/15.60 Kept: 14585
% 15.24/15.60 Inuse: 907
% 15.24/15.60 Deleted: 6
% 15.24/15.60 Deletedinuse: 4
% 15.24/15.60
% 15.24/15.60 Resimplifying inuse:
% 15.24/15.60 Done
% 15.24/15.60
% 15.24/15.60 *** allocated 384427 integers for termspace/termends
% 15.24/15.60 Resimplifying inuse:
% 15.24/15.60 Done
% 15.24/15.60
% 15.24/15.60
% 15.24/15.60 Intermediate Status:
% 15.24/15.60 Generated: 117740
% 15.24/15.60 Kept: 16597
% 15.24/15.60 Inuse: 1014
% 15.24/15.60 Deleted: 8
% 15.24/15.60 Deletedinuse: 4
% 15.24/15.60
% 15.24/15.60 Resimplifying inuse:
% 15.24/15.60 Done
% 15.24/15.60
% 15.24/15.60 Resimplifying inuse:
% 15.24/15.60 Done
% 15.24/15.60
% 15.24/15.60
% 15.24/15.60 Intermediate Status:
% 15.24/15.60 Generated: 129470
% 15.24/15.60 Kept: 18599
% 15.24/15.60 Inuse: 1118
% 15.24/15.60 Deleted: 10
% 15.24/15.60 Deletedinuse: 4
% 15.24/15.60
% 15.24/15.60 *** allocated 1297440 integers for clauses
% 15.24/15.60 Resimplifying inuse:
% 15.24/15.60 Done
% 15.24/15.60
% 15.24/15.60 Resimplifying inuse:
% 15.24/15.60 Done
% 15.24/15.60
% 15.24/15.60 Resimplifying clauses:
% 15.24/15.60 Done
% 15.24/15.60
% 15.24/15.60
% 15.24/15.60 Intermediate Status:
% 15.24/15.60 Generated: 141482
% 15.24/15.60 Kept: 20599
% 15.24/15.60 Inuse: 1218
% 15.24/15.60 Deleted: 1271
% 15.24/15.60 Deletedinuse: 8
% 15.24/15.60
% 15.24/15.60 Resimplifying inuse:
% 15.24/15.60 Done
% 15.24/15.60
% 15.24/15.60 Resimplifying inuse:
% 15.24/15.60 Done
% 15.24/15.60
% 15.24/15.60
% 15.24/15.60 Intermediate Status:
% 15.24/15.60 Generated: 150902
% 15.24/15.60 Kept: 22620
% 15.24/15.60 Inuse: 1304
% 15.24/15.60 Deleted: 1271
% 15.24/15.60 Deletedinuse: 8
% 15.24/15.60
% 15.24/15.60 Resimplifying inuse:
% 15.24/15.60 Done
% 15.24/15.60
% 15.24/15.60 Resimplifying inuse:
% 15.24/15.60 Done
% 15.24/15.60
% 15.24/15.60
% 15.24/15.60 Intermediate Status:
% 15.24/15.60 Generated: 161338
% 15.24/15.60 Kept: 24635
% 15.24/15.60 Inuse: 1404
% 15.24/15.60 Deleted: 1271
% 15.24/15.60 Deletedinuse: 8
% 15.24/15.60
% 15.24/15.60 Resimplifying inuse:
% 15.24/15.60 Done
% 15.24/15.60
% 15.24/15.60 Resimplifying inuse:
% 15.24/15.60 Done
% 15.24/15.60
% 15.24/15.60 *** allocated 576640 integers for termspace/termends
% 15.24/15.60
% 15.24/15.60 Intermediate Status:
% 15.24/15.60 Generated: 171713
% 15.24/15.60 Kept: 26647
% 15.24/15.60 Inuse: 1510
% 15.24/15.60 Deleted: 1271
% 15.24/15.60 Deletedinuse: 8
% 15.24/15.60
% 15.24/15.60 Resimplifying inuse:
% 15.24/15.60 Done
% 15.24/15.60
% 15.24/15.60 *** allocated 1946160 integers for clauses
% 15.24/15.60 Resimplifying inuse:
% 15.24/15.60 Done
% 15.24/15.60
% 15.24/15.60
% 15.24/15.60 Intermediate Status:
% 15.24/15.60 Generated: 183270
% 15.24/15.60 Kept: 28674
% 15.24/15.60 Inuse: 1633
% 15.24/15.60 Deleted: 1271
% 15.24/15.60 Deletedinuse: 8
% 15.24/15.60
% 15.24/15.60 Resimplifying inuse:
% 15.24/15.60 Done
% 15.24/15.60
% 15.24/15.60 Resimplifying inuse:
% 15.24/15.60 Done
% 15.24/15.60
% 15.24/15.60
% 15.24/15.60 Intermediate Status:
% 15.24/15.60 Generated: 196836
% 15.24/15.60 Kept: 30681
% 15.24/15.60 Inuse: 1771
% 15.24/15.60 Deleted: 1271
% 15.24/15.60 Deletedinuse: 8
% 15.24/15.60
% 15.24/15.60 Resimplifying inuse:
% 15.24/15.60 Done
% 15.24/15.60
% 15.24/15.60 Resimplifying inuse:
% 15.24/15.60 Done
% 15.24/15.60
% 15.24/15.60
% 15.24/15.60 Intermediate Status:
% 15.24/15.60 Generated: 213508
% 15.24/15.60 Kept: 32681
% 15.24/15.60 Inuse: 1907
% 15.24/15.60 Deleted: 1272
% 15.24/15.60 Deletedinuse: 8
% 15.24/15.60
% 15.24/15.60 Resimplifying inuse:
% 15.24/15.60 Done
% 15.24/15.60
% 15.24/15.60 Resimplifying inuse:
% 15.24/15.60 Done
% 15.24/15.60
% 15.24/15.60
% 15.24/15.60 Intermediate Status:
% 15.24/15.60 Generated: 226438
% 15.24/15.60 Kept: 34682
% 15.24/15.60 Inuse: 2029
% 15.24/15.60 Deleted: 1274
% 15.24/15.60 Deletedinuse: 10
% 15.24/15.60
% 15.24/15.60 Resimplifying inuse:
% 15.24/15.60 Done
% 15.24/15.60
% 15.24/15.60 Resimplifying inuse:
% 15.24/15.60 Done
% 15.24/15.60
% 15.24/15.60
% 15.24/15.60 Intermediate Status:
% 15.24/15.60 Generated: 244777
% 15.24/15.60 Kept: 36686
% 15.24/15.60 Inuse: 2185
% 15.24/15.60 Deleted: 1288
% 15.24/15.60 Deletedinuse: 24
% 15.24/15.60
% 15.24/15.60 Resimplifying inuse:
% 15.24/15.60 Done
% 15.24/15.60
% 15.24/15.60 Resimplifying inuse:
% 15.24/15.60 Done
% 15.24/15.60
% 15.24/15.60
% 15.24/15.60 Intermediate Status:
% 15.24/15.60 Generated: 265528
% 15.24/15.60 Kept: 38703
% 15.24/15.60 Inuse: 2377
% 15.24/15.60 Deleted: 1304
% 15.24/15.60 Deletedinuse: 40
% 15.24/15.60
% 15.24/15.60 Resimplifying inuse:
% 15.24/15.60 Done
% 15.24/15.60
% 15.24/15.60 Resimplifying inuse:
% 15.24/15.60 Done
% 15.24/15.60
% 15.24/15.60 Resimplifying clauses:
% 15.24/15.60 Done
% 15.24/15.60
% 15.24/15.60
% 15.24/15.60 Intermediate Status:
% 15.24/15.60 Generated: 279327
% 15.24/15.60 Kept: 40709
% 15.24/15.60 Inuse: 2514
% 15.24/15.60 Deleted: 2912
% 15.24/15.60 Deletedinuse: 60
% 15.24/15.60
% 15.24/15.60 Resimplifying inuse:
% 15.24/15.60 Done
% 15.24/15.60
% 15.24/15.60 *** allocated 864960 integers for termspace/termends
% 15.24/15.60 Resimplifying inuse:
% 15.24/15.60 Done
% 15.24/15.60
% 15.24/15.60 *** allocated 2919240 integers for clauses
% 15.24/15.60
% 15.24/15.60 Intermediate Status:
% 15.24/15.60 Generated: 299681
% 15.24/15.60 Kept: 42722
% 15.24/15.60 Inuse: 2701
% 15.24/15.60 Deleted: 2932
% 15.24/15.60 Deletedinuse: 80
% 15.24/15.60
% 15.24/15.60 Resimplifying inuse:
% 15.24/15.60 Done
% 15.24/15.60
% 15.24/15.60 Resimplifying inuse:
% 15.24/15.60 Done
% 15.24/15.60
% 15.24/15.60
% 15.24/15.60 Intermediate Status:
% 15.24/15.60 Generated: 317349
% 15.24/15.60 Kept: 44749
% 15.24/15.60 Inuse: 2872
% 15.24/15.60 Deleted: 2952
% 15.24/15.60 Deletedinuse: 100
% 15.24/15.60
% 15.24/15.60 Resimplifying inuse:
% 15.24/15.60 Done
% 15.24/15.60
% 15.24/15.60 Resimplifying inuse:
% 15.24/15.60 Done
% 15.24/15.60
% 15.24/15.60
% 15.24/15.60 Intermediate Status:
% 15.24/15.60 Generated: 335898
% 15.24/15.60 Kept: 46753
% 15.24/15.60 Inuse: 3040
% 15.24/15.60 Deleted: 2956
% 15.24/15.60 Deletedinuse: 104
% 15.24/15.60
% 15.24/15.60 Resimplifying inuse:
% 15.24/15.60 Done
% 15.24/15.60
% 15.24/15.60 Resimplifying inuse:
% 15.24/15.60 Done
% 15.24/15.60
% 15.24/15.60
% 15.24/15.60 Intermediate Status:
% 15.24/15.60 Generated: 362870
% 15.24/15.60 Kept: 48754
% 15.24/15.60 Inuse: 3227
% 15.24/15.60 Deleted: 3016
% 15.24/15.60 Deletedinuse: 125
% 15.24/15.60
% 15.24/15.60 Resimplifying inuse:
% 15.24/15.60 Done
% 15.24/15.60
% 15.24/15.60 Resimplifying inuse:
% 15.24/15.60 Done
% 15.24/15.60
% 15.24/15.60
% 15.24/15.60 Intermediate Status:
% 15.24/15.60 Generated: 381208
% 15.24/15.60 Kept: 50754
% 15.24/15.60 Inuse: 3427
% 15.24/15.60 Deleted: 3159
% 15.24/15.60 Deletedinuse: 218
% 15.24/15.60
% 15.24/15.60 Resimplifying inuse:
% 15.24/15.60 Done
% 15.24/15.60
% 15.24/15.60 Resimplifying inuse:
% 15.24/15.60 Done
% 15.24/15.60
% 15.24/15.60
% 15.24/15.60 Intermediate Status:
% 15.24/15.60 Generated: 398256
% 15.24/15.60 Kept: 52758
% 15.24/15.60 Inuse: 3602
% 15.24/15.60 Deleted: 3203
% 15.24/15.60 Deletedinuse: 218
% 15.24/15.60
% 15.24/15.60 Resimplifying inuse:
% 15.24/15.60 Done
% 15.24/15.60
% 15.24/15.60 Resimplifying inuse:
% 15.24/15.60 Done
% 15.24/15.60
% 15.24/15.60
% 15.24/15.60 Intermediate Status:
% 15.24/15.60 Generated: 420103
% 15.24/15.60 Kept: 54764
% 15.24/15.60 Inuse: 3763
% 15.24/15.60 Deleted: 3242
% 15.24/15.60 Deletedinuse: 218
% 15.24/15.60
% 15.24/15.60 Resimplifying inuse:
% 15.24/15.60 Done
% 15.24/15.60
% 15.24/15.60 Resimplifying inuse:
% 15.24/15.60 Done
% 15.24/15.60
% 15.24/15.60
% 15.24/15.60 Intermediate Status:
% 15.24/15.60 Generated: 440320
% 15.24/15.60 Kept: 56767
% 15.24/15.60 Inuse: 3923
% 15.24/15.60 Deleted: 3285
% 15.24/15.60 Deletedinuse: 222
% 15.24/15.60
% 15.24/15.60
% 15.24/15.60 Bliksems!, er is een bewijs:
% 15.24/15.60 % SZS status Theorem
% 15.24/15.60 % SZS output start Refutation
% 15.24/15.60
% 15.24/15.60 (0) {G0,W8,D2,L2,V3,M2} I { ! coll( X, Y, Z ), coll( X, Z, Y ) }.
% 15.24/15.60 (1) {G0,W8,D2,L2,V3,M2} I { ! coll( X, Y, Z ), coll( Y, X, Z ) }.
% 15.24/15.60 (2) {G0,W12,D2,L3,V4,M3} I { ! coll( X, T, Y ), ! coll( X, T, Z ), coll( Y
% 15.24/15.60 , Z, X ) }.
% 15.24/15.60 (3) {G0,W10,D2,L2,V4,M2} I { ! para( X, Y, Z, T ), para( X, Y, T, Z ) }.
% 15.24/15.60 (6) {G0,W10,D2,L2,V4,M2} I { ! perp( X, Y, Z, T ), perp( X, Y, T, Z ) }.
% 15.24/15.60 (7) {G0,W10,D2,L2,V4,M2} I { ! perp( X, Y, Z, T ), perp( Z, T, X, Y ) }.
% 15.24/15.60 (8) {G0,W15,D2,L3,V6,M3} I { ! perp( X, Y, U, W ), ! perp( U, W, Z, T ),
% 15.24/15.60 para( X, Y, Z, T ) }.
% 15.24/15.60 (13) {G0,W10,D2,L2,V4,M2} I { ! cyclic( X, Y, Z, T ), cyclic( X, Y, T, Z )
% 15.24/15.60 }.
% 15.24/15.60 (14) {G0,W10,D2,L2,V4,M2} I { ! cyclic( X, Y, Z, T ), cyclic( X, Z, Y, T )
% 15.24/15.60 }.
% 15.24/15.60 (15) {G0,W10,D2,L2,V4,M2} I { ! cyclic( X, Y, Z, T ), cyclic( Y, X, Z, T )
% 15.24/15.60 }.
% 15.24/15.60 (16) {G0,W15,D2,L3,V5,M3} I { ! cyclic( U, X, Y, Z ), ! cyclic( U, X, Y, T
% 15.24/15.60 ), cyclic( X, Y, Z, T ) }.
% 15.24/15.60 (18) {G0,W18,D2,L2,V8,M2} I { ! eqangle( X, Y, Z, T, U, W, V0, V1 ),
% 15.24/15.60 eqangle( Z, T, X, Y, V0, V1, U, W ) }.
% 15.24/15.60 (39) {G0,W14,D2,L2,V6,M2} I { ! para( X, Y, Z, T ), eqangle( X, Y, U, W, Z
% 15.24/15.60 , T, U, W ) }.
% 15.24/15.60 (40) {G0,W14,D2,L2,V4,M2} I { ! cyclic( X, Y, Z, T ), eqangle( Z, X, Z, Y,
% 15.24/15.60 T, X, T, Y ) }.
% 15.24/15.60 (42) {G0,W18,D2,L3,V4,M3} I { ! eqangle( Z, X, Z, Y, T, X, T, Y ), ! coll(
% 15.24/15.60 Z, T, Y ), cyclic( X, Y, Z, T ) }.
% 15.24/15.60 (43) {G0,W29,D2,L5,V6,M5} I { ! cyclic( X, Y, U, Z ), ! cyclic( X, Y, U, T
% 15.24/15.60 ), ! cyclic( X, Y, U, W ), ! eqangle( U, X, U, Y, W, Z, W, T ), cong( X
% 15.24/15.60 , Y, Z, T ) }.
% 15.24/15.60 (44) {G0,W13,D2,L3,V5,M3} I { ! midp( Z, U, X ), ! midp( T, U, Y ), para( Z
% 15.24/15.60 , T, X, Y ) }.
% 15.24/15.60 (45) {G0,W17,D2,L4,V5,M4} I { ! midp( U, X, T ), ! para( U, Z, T, Y ), !
% 15.24/15.60 coll( Z, X, Y ), midp( Z, X, Y ) }.
% 15.24/15.60 (56) {G0,W15,D2,L3,V4,M3} I { ! cong( X, Z, Y, Z ), ! cong( X, T, Y, T ),
% 15.24/15.60 perp( X, Y, Z, T ) }.
% 15.24/15.60 (67) {G0,W13,D2,L3,V3,M3} I { ! cong( X, Y, X, Z ), ! coll( X, Y, Z ), midp
% 15.24/15.60 ( X, Y, Z ) }.
% 15.24/15.60 (96) {G0,W14,D2,L3,V4,M3} I { ! perp( X, T, Y, Z ), ! perp( Y, T, X, Z ),
% 15.24/15.60 alpha1( X, Y, Z ) }.
% 15.24/15.60 (97) {G0,W11,D3,L2,V4,M2} I { ! alpha1( X, Y, Z ), coll( skol11( X, T, Z )
% 15.24/15.60 , Z, X ) }.
% 15.24/15.60 (121) {G0,W5,D2,L1,V0,M1} I { perp( skol22, skol29, skol26, skol27 ) }.
% 15.24/15.60 (123) {G0,W4,D2,L1,V0,M1} I { coll( skol23, skol29, skol22 ) }.
% 15.24/15.60 (127) {G0,W5,D2,L1,V0,M1} I { ! para( skol22, skol20, skol23, skol24 ) }.
% 15.24/15.60 (157) {G1,W9,D2,L2,V3,M2} F(96) { ! perp( X, Y, X, Z ), alpha1( X, X, Z )
% 15.24/15.60 }.
% 15.24/15.60 (166) {G1,W4,D2,L1,V0,M1} R(0,123) { coll( skol23, skol22, skol29 ) }.
% 15.24/15.60 (172) {G2,W4,D2,L1,V0,M1} R(1,166) { coll( skol22, skol23, skol29 ) }.
% 15.24/15.60 (206) {G1,W12,D2,L3,V4,M3} R(2,0) { ! coll( X, Y, Z ), ! coll( X, Y, T ),
% 15.24/15.60 coll( Z, X, T ) }.
% 15.24/15.60 (217) {G2,W8,D2,L2,V3,M2} F(206) { ! coll( X, Y, Z ), coll( Z, X, Z ) }.
% 15.24/15.60 (295) {G1,W15,D2,L3,V6,M3} R(8,7) { ! perp( X, Y, Z, T ), para( U, W, Z, T
% 15.24/15.60 ), ! perp( X, Y, U, W ) }.
% 15.24/15.60 (296) {G1,W15,D2,L3,V6,M3} R(8,7) { ! perp( X, Y, Z, T ), para( X, Y, U, W
% 15.24/15.60 ), ! perp( U, W, Z, T ) }.
% 15.24/15.60 (304) {G2,W10,D2,L2,V4,M2} F(296) { ! perp( X, Y, Z, T ), para( X, Y, X, Y
% 15.24/15.60 ) }.
% 15.24/15.60 (330) {G1,W5,D2,L1,V0,M1} R(127,3) { ! para( skol22, skol20, skol24, skol23
% 15.24/15.60 ) }.
% 15.24/15.60 (353) {G1,W5,D2,L1,V0,M1} R(121,7) { perp( skol26, skol27, skol22, skol29 )
% 15.24/15.60 }.
% 15.24/15.60 (358) {G2,W5,D2,L1,V0,M1} R(353,6) { perp( skol26, skol27, skol29, skol22 )
% 15.24/15.60 }.
% 15.24/15.60 (362) {G3,W5,D2,L1,V0,M1} R(358,7) { perp( skol29, skol22, skol26, skol27 )
% 15.24/15.60 }.
% 15.24/15.60 (366) {G4,W5,D2,L1,V0,M1} R(362,6) { perp( skol29, skol22, skol27, skol26 )
% 15.24/15.60 }.
% 15.24/15.60 (395) {G1,W10,D2,L2,V4,M2} R(14,13) { ! cyclic( X, Y, Z, T ), cyclic( X, Z
% 15.24/15.60 , T, Y ) }.
% 15.24/15.60 (411) {G1,W10,D2,L2,V4,M2} R(15,14) { cyclic( X, Y, Z, T ), ! cyclic( Y, Z
% 15.24/15.60 , X, T ) }.
% 15.24/15.60 (413) {G1,W10,D2,L2,V4,M2} R(15,13) { cyclic( X, Y, Z, T ), ! cyclic( Y, X
% 15.24/15.60 , T, Z ) }.
% 15.24/15.60 (439) {G1,W15,D2,L3,V5,M3} R(16,15) { ! cyclic( X, Y, Z, T ), ! cyclic( X,
% 15.24/15.60 Y, Z, U ), cyclic( Z, Y, T, U ) }.
% 15.24/15.60 (444) {G1,W15,D2,L3,V5,M3} R(16,13) { ! cyclic( X, Y, Z, T ), cyclic( Y, Z
% 15.24/15.60 , T, U ), ! cyclic( X, Y, U, Z ) }.
% 15.24/15.60 (448) {G2,W10,D2,L2,V4,M2} F(439) { ! cyclic( X, Y, Z, T ), cyclic( Z, Y, T
% 15.24/15.60 , T ) }.
% 15.24/15.60 (532) {G3,W4,D2,L1,V0,M1} R(217,172) { coll( skol29, skol22, skol29 ) }.
% 15.24/15.60 (535) {G3,W12,D2,L3,V4,M3} R(217,2) { coll( X, Y, X ), ! coll( X, Z, Y ), !
% 15.24/15.60 coll( X, Z, T ) }.
% 15.24/15.60 (553) {G4,W8,D2,L2,V3,M2} F(535) { coll( X, Y, X ), ! coll( X, Z, Y ) }.
% 15.24/15.60 (838) {G1,W14,D2,L2,V6,M2} R(39,18) { ! para( X, Y, Z, T ), eqangle( U, W,
% 15.24/15.60 X, Y, U, W, Z, T ) }.
% 15.24/15.60 (899) {G4,W4,D2,L1,V0,M1} R(532,0) { coll( skol29, skol29, skol22 ) }.
% 15.24/15.60 (903) {G5,W14,D2,L2,V1,M2} R(42,899) { ! eqangle( skol29, X, skol29, skol22
% 15.24/15.60 , skol29, X, skol29, skol22 ), cyclic( X, skol22, skol29, skol29 ) }.
% 15.24/15.60 (1070) {G1,W20,D2,L4,V4,M4} R(43,40);f { ! cyclic( X, Y, Z, X ), ! cyclic(
% 15.24/15.60 X, Y, Z, Y ), ! cyclic( X, Y, Z, T ), cong( X, Y, X, Y ) }.
% 15.24/15.60 (1102) {G2,W15,D2,L3,V3,M3} F(1070) { ! cyclic( X, Y, Z, X ), ! cyclic( X,
% 15.24/15.60 Y, Z, Y ), cong( X, Y, X, Y ) }.
% 15.24/15.60 (1116) {G2,W8,D2,L2,V1,M2} R(44,330) { ! midp( skol22, X, skol24 ), ! midp
% 15.24/15.60 ( skol20, X, skol23 ) }.
% 15.24/15.60 (1807) {G5,W8,D2,L2,V3,M2} R(553,1) { ! coll( X, Y, Z ), coll( Z, X, X )
% 15.24/15.60 }.
% 15.24/15.60 (1813) {G6,W8,D2,L2,V3,M2} R(1807,1) { coll( X, Y, Y ), ! coll( Z, Y, X )
% 15.24/15.60 }.
% 15.24/15.60 (1814) {G6,W8,D2,L2,V3,M2} R(1807,0) { coll( X, Y, Y ), ! coll( Y, X, Z )
% 15.24/15.60 }.
% 15.24/15.60 (1815) {G7,W8,D2,L2,V3,M2} R(1813,1807) { ! coll( X, Y, Z ), coll( Y, Z, Z
% 15.24/15.60 ) }.
% 15.24/15.60 (1854) {G7,W8,D2,L2,V3,M2} R(1814,1814) { ! coll( X, Y, Z ), coll( X, Y, Y
% 15.24/15.60 ) }.
% 15.24/15.60 (1859) {G8,W12,D2,L3,V4,M3} R(1854,2) { ! coll( X, Y, Z ), ! coll( X, Y, T
% 15.24/15.60 ), coll( T, Y, X ) }.
% 15.24/15.60 (1860) {G9,W8,D2,L2,V3,M2} F(1859) { ! coll( X, Y, Z ), coll( Z, Y, X ) }.
% 15.24/15.60 (1863) {G10,W8,D2,L2,V3,M2} R(1860,1815) { coll( X, X, Y ), ! coll( Z, Y, X
% 15.24/15.60 ) }.
% 15.24/15.60 (4514) {G11,W8,D2,L2,V3,M2} R(97,1863) { ! alpha1( X, Y, Z ), coll( X, X, Z
% 15.24/15.60 ) }.
% 15.24/15.60 (4521) {G7,W8,D2,L2,V3,M2} R(97,1813) { ! alpha1( X, Y, Z ), coll( X, Z, Z
% 15.24/15.60 ) }.
% 15.24/15.60 (21596) {G5,W5,D2,L1,V0,M1} R(304,366) { para( skol29, skol22, skol29,
% 15.24/15.60 skol22 ) }.
% 15.24/15.60 (45468) {G6,W9,D2,L1,V2,M1} R(838,21596) { eqangle( X, Y, skol29, skol22, X
% 15.24/15.60 , Y, skol29, skol22 ) }.
% 15.24/15.60 (48195) {G7,W5,D2,L1,V1,M1} S(903);r(45468) { cyclic( X, skol22, skol29,
% 15.24/15.60 skol29 ) }.
% 15.24/15.60 (48216) {G8,W5,D2,L1,V1,M1} R(48195,413) { cyclic( skol22, X, skol29,
% 15.24/15.60 skol29 ) }.
% 15.24/15.60 (48228) {G9,W5,D2,L1,V1,M1} R(48216,448) { cyclic( skol29, X, skol29,
% 15.24/15.60 skol29 ) }.
% 15.24/15.60 (48250) {G10,W5,D2,L1,V1,M1} R(48228,411) { cyclic( skol29, skol29, X,
% 15.24/15.60 skol29 ) }.
% 15.24/15.60 (48251) {G10,W5,D2,L1,V1,M1} R(48228,395) { cyclic( skol29, skol29, skol29
% 15.24/15.60 , X ) }.
% 15.24/15.60 (48256) {G11,W5,D2,L1,V2,M1} R(48250,444);r(48251) { cyclic( skol29, skol29
% 15.24/15.60 , X, Y ) }.
% 15.24/15.60 (48278) {G12,W5,D2,L1,V3,M1} R(48256,444);r(48256) { cyclic( skol29, X, Y,
% 15.24/15.60 Z ) }.
% 15.24/15.60 (48297) {G13,W5,D2,L1,V4,M1} R(48278,444);r(48278) { cyclic( X, Y, Z, T )
% 15.24/15.60 }.
% 15.24/15.60 (56579) {G14,W5,D2,L1,V2,M1} S(1102);r(48297);r(48297) { cong( X, Y, X, Y )
% 15.24/15.60 }.
% 15.24/15.60 (56596) {G15,W5,D2,L1,V3,M1} R(56579,56);r(56579) { perp( X, X, Z, Y ) }.
% 15.24/15.60 (56633) {G16,W5,D2,L1,V4,M1} R(56596,295);r(56596) { para( X, Y, Z, T ) }.
% 15.24/15.60 (56635) {G16,W4,D2,L1,V2,M1} R(56596,157) { alpha1( X, X, Y ) }.
% 15.24/15.60 (56715) {G17,W4,D2,L1,V2,M1} R(56635,4521) { coll( X, Y, Y ) }.
% 15.24/15.60 (56716) {G17,W4,D2,L1,V2,M1} R(56635,4514) { coll( X, X, Y ) }.
% 15.24/15.60 (56731) {G18,W4,D2,L1,V2,M1} R(56715,67);r(56579) { midp( X, Y, Y ) }.
% 15.24/15.60 (56768) {G18,W4,D2,L1,V3,M1} R(56716,206);r(56716) { coll( Z, X, Y ) }.
% 15.24/15.60 (56790) {G17,W12,D2,L3,V3,M3} R(1116,45);r(56633) { ! midp( skol20, X,
% 15.24/15.60 skol23 ), ! midp( Y, X, Z ), ! coll( skol22, X, skol24 ) }.
% 15.24/15.60 (56795) {G19,W4,D2,L1,V1,M1} F(56790);r(56768) { ! midp( skol20, X, skol23
% 15.24/15.60 ) }.
% 15.24/15.60 (56796) {G20,W0,D0,L0,V0,M0} R(56795,56731) { }.
% 15.24/15.60
% 15.24/15.60
% 15.24/15.60 % SZS output end Refutation
% 15.24/15.60 found a proof!
% 15.24/15.60
% 15.24/15.60
% 15.24/15.60 Unprocessed initial clauses:
% 15.24/15.60
% 15.24/15.60 (56798) {G0,W8,D2,L2,V3,M2} { ! coll( X, Y, Z ), coll( X, Z, Y ) }.
% 15.24/15.60 (56799) {G0,W8,D2,L2,V3,M2} { ! coll( X, Y, Z ), coll( Y, X, Z ) }.
% 15.24/15.60 (56800) {G0,W12,D2,L3,V4,M3} { ! coll( X, T, Y ), ! coll( X, T, Z ), coll
% 15.24/15.60 ( Y, Z, X ) }.
% 15.24/15.60 (56801) {G0,W10,D2,L2,V4,M2} { ! para( X, Y, Z, T ), para( X, Y, T, Z )
% 15.24/15.60 }.
% 15.24/15.60 (56802) {G0,W10,D2,L2,V4,M2} { ! para( X, Y, Z, T ), para( Z, T, X, Y )
% 15.24/15.60 }.
% 15.24/15.60 (56803) {G0,W15,D2,L3,V6,M3} { ! para( X, Y, U, W ), ! para( U, W, Z, T )
% 15.24/15.60 , para( X, Y, Z, T ) }.
% 15.24/15.60 (56804) {G0,W10,D2,L2,V4,M2} { ! perp( X, Y, Z, T ), perp( X, Y, T, Z )
% 15.24/15.60 }.
% 15.24/15.60 (56805) {G0,W10,D2,L2,V4,M2} { ! perp( X, Y, Z, T ), perp( Z, T, X, Y )
% 15.24/15.60 }.
% 15.24/15.60 (56806) {G0,W15,D2,L3,V6,M3} { ! perp( X, Y, U, W ), ! perp( U, W, Z, T )
% 15.24/15.60 , para( X, Y, Z, T ) }.
% 15.24/15.60 (56807) {G0,W15,D2,L3,V6,M3} { ! para( X, Y, U, W ), ! perp( U, W, Z, T )
% 15.24/15.60 , perp( X, Y, Z, T ) }.
% 15.24/15.60 (56808) {G0,W8,D2,L2,V3,M2} { ! midp( Z, Y, X ), midp( Z, X, Y ) }.
% 15.24/15.60 (56809) {G0,W15,D2,L3,V4,M3} { ! cong( T, X, T, Y ), ! cong( T, X, T, Z )
% 15.24/15.60 , circle( T, X, Y, Z ) }.
% 15.24/15.60 (56810) {G0,W20,D2,L4,V5,M4} { ! cong( U, X, U, Y ), ! cong( U, X, U, Z )
% 15.24/15.60 , ! cong( U, X, U, T ), cyclic( X, Y, Z, T ) }.
% 15.24/15.60 (56811) {G0,W10,D2,L2,V4,M2} { ! cyclic( X, Y, Z, T ), cyclic( X, Y, T, Z
% 15.24/15.60 ) }.
% 15.24/15.60 (56812) {G0,W10,D2,L2,V4,M2} { ! cyclic( X, Y, Z, T ), cyclic( X, Z, Y, T
% 15.24/15.60 ) }.
% 15.24/15.60 (56813) {G0,W10,D2,L2,V4,M2} { ! cyclic( X, Y, Z, T ), cyclic( Y, X, Z, T
% 15.24/15.60 ) }.
% 15.24/15.60 (56814) {G0,W15,D2,L3,V5,M3} { ! cyclic( U, X, Y, Z ), ! cyclic( U, X, Y,
% 15.24/15.60 T ), cyclic( X, Y, Z, T ) }.
% 15.24/15.60 (56815) {G0,W18,D2,L2,V8,M2} { ! eqangle( X, Y, Z, T, U, W, V0, V1 ),
% 15.24/15.60 eqangle( Y, X, Z, T, U, W, V0, V1 ) }.
% 15.24/15.60 (56816) {G0,W18,D2,L2,V8,M2} { ! eqangle( X, Y, Z, T, U, W, V0, V1 ),
% 15.24/15.60 eqangle( Z, T, X, Y, V0, V1, U, W ) }.
% 15.24/15.60 (56817) {G0,W18,D2,L2,V8,M2} { ! eqangle( X, Y, Z, T, U, W, V0, V1 ),
% 15.24/15.60 eqangle( U, W, V0, V1, X, Y, Z, T ) }.
% 15.24/15.60 (56818) {G0,W18,D2,L2,V8,M2} { ! eqangle( X, Y, Z, T, U, W, V0, V1 ),
% 15.24/15.60 eqangle( X, Y, U, W, Z, T, V0, V1 ) }.
% 15.24/15.60 (56819) {G0,W27,D2,L3,V12,M3} { ! eqangle( X, Y, Z, T, V2, V3, V4, V5 ), !
% 15.24/15.60 eqangle( V2, V3, V4, V5, U, W, V0, V1 ), eqangle( X, Y, Z, T, U, W, V0,
% 15.24/15.60 V1 ) }.
% 15.24/15.60 (56820) {G0,W10,D2,L2,V4,M2} { ! cong( X, Y, Z, T ), cong( X, Y, T, Z )
% 15.24/15.60 }.
% 15.24/15.60 (56821) {G0,W10,D2,L2,V4,M2} { ! cong( X, Y, Z, T ), cong( Z, T, X, Y )
% 15.24/15.60 }.
% 15.24/15.60 (56822) {G0,W15,D2,L3,V6,M3} { ! cong( X, Y, U, W ), ! cong( U, W, Z, T )
% 15.24/15.60 , cong( X, Y, Z, T ) }.
% 15.24/15.60 (56823) {G0,W18,D2,L2,V8,M2} { ! eqratio( X, Y, Z, T, U, W, V0, V1 ),
% 15.24/15.60 eqratio( Y, X, Z, T, U, W, V0, V1 ) }.
% 15.24/15.60 (56824) {G0,W18,D2,L2,V8,M2} { ! eqratio( X, Y, Z, T, U, W, V0, V1 ),
% 15.24/15.60 eqratio( Z, T, X, Y, V0, V1, U, W ) }.
% 15.24/15.60 (56825) {G0,W18,D2,L2,V8,M2} { ! eqratio( X, Y, Z, T, U, W, V0, V1 ),
% 15.24/15.60 eqratio( U, W, V0, V1, X, Y, Z, T ) }.
% 15.24/15.60 (56826) {G0,W18,D2,L2,V8,M2} { ! eqratio( X, Y, Z, T, U, W, V0, V1 ),
% 15.24/15.60 eqratio( X, Y, U, W, Z, T, V0, V1 ) }.
% 15.24/15.60 (56827) {G0,W27,D2,L3,V12,M3} { ! eqratio( X, Y, Z, T, V2, V3, V4, V5 ), !
% 15.24/15.60 eqratio( V2, V3, V4, V5, U, W, V0, V1 ), eqratio( X, Y, Z, T, U, W, V0,
% 15.24/15.60 V1 ) }.
% 15.24/15.60 (56828) {G0,W14,D2,L2,V6,M2} { ! simtri( X, Z, Y, T, W, U ), simtri( X, Y
% 15.24/15.60 , Z, T, U, W ) }.
% 15.24/15.60 (56829) {G0,W14,D2,L2,V6,M2} { ! simtri( Y, X, Z, U, T, W ), simtri( X, Y
% 15.24/15.60 , Z, T, U, W ) }.
% 15.24/15.60 (56830) {G0,W14,D2,L2,V6,M2} { ! simtri( T, U, W, X, Y, Z ), simtri( X, Y
% 15.24/15.60 , Z, T, U, W ) }.
% 15.24/15.60 (56831) {G0,W21,D2,L3,V9,M3} { ! simtri( X, Y, Z, V0, V1, V2 ), ! simtri(
% 15.24/15.60 V0, V1, V2, T, U, W ), simtri( X, Y, Z, T, U, W ) }.
% 15.24/15.60 (56832) {G0,W14,D2,L2,V6,M2} { ! contri( X, Z, Y, T, W, U ), contri( X, Y
% 15.24/15.60 , Z, T, U, W ) }.
% 15.24/15.60 (56833) {G0,W14,D2,L2,V6,M2} { ! contri( Y, X, Z, U, T, W ), contri( X, Y
% 15.24/15.60 , Z, T, U, W ) }.
% 15.24/15.60 (56834) {G0,W14,D2,L2,V6,M2} { ! contri( T, U, W, X, Y, Z ), contri( X, Y
% 15.24/15.60 , Z, T, U, W ) }.
% 15.24/15.60 (56835) {G0,W21,D2,L3,V9,M3} { ! contri( X, Y, Z, V0, V1, V2 ), ! contri(
% 15.24/15.60 V0, V1, V2, T, U, W ), contri( X, Y, Z, T, U, W ) }.
% 15.24/15.60 (56836) {G0,W14,D2,L2,V6,M2} { ! eqangle( X, Y, U, W, Z, T, U, W ), para(
% 15.24/15.60 X, Y, Z, T ) }.
% 15.24/15.60 (56837) {G0,W14,D2,L2,V6,M2} { ! para( X, Y, Z, T ), eqangle( X, Y, U, W,
% 15.24/15.60 Z, T, U, W ) }.
% 15.24/15.60 (56838) {G0,W14,D2,L2,V4,M2} { ! cyclic( X, Y, Z, T ), eqangle( Z, X, Z, Y
% 15.24/15.60 , T, X, T, Y ) }.
% 15.24/15.60 (56839) {G0,W18,D2,L3,V4,M3} { ! eqangle( Z, X, Z, Y, T, X, T, Y ), coll(
% 15.24/15.60 Z, T, X ), cyclic( X, Y, Z, T ) }.
% 15.24/15.60 (56840) {G0,W18,D2,L3,V4,M3} { ! eqangle( Z, X, Z, Y, T, X, T, Y ), ! coll
% 15.24/15.60 ( Z, T, Y ), cyclic( X, Y, Z, T ) }.
% 15.24/15.60 (56841) {G0,W29,D2,L5,V6,M5} { ! cyclic( X, Y, U, Z ), ! cyclic( X, Y, U,
% 15.24/15.60 T ), ! cyclic( X, Y, U, W ), ! eqangle( U, X, U, Y, W, Z, W, T ), cong( X
% 15.24/15.60 , Y, Z, T ) }.
% 15.24/15.60 (56842) {G0,W13,D2,L3,V5,M3} { ! midp( Z, U, X ), ! midp( T, U, Y ), para
% 15.24/15.60 ( Z, T, X, Y ) }.
% 15.24/15.60 (56843) {G0,W17,D2,L4,V5,M4} { ! midp( U, X, T ), ! para( U, Z, T, Y ), !
% 15.24/15.60 coll( Z, X, Y ), midp( Z, X, Y ) }.
% 15.24/15.60 (56844) {G0,W14,D2,L2,V3,M2} { ! cong( Z, X, Z, Y ), eqangle( Z, X, X, Y,
% 15.24/15.60 X, Y, Z, Y ) }.
% 15.24/15.60 (56845) {G0,W18,D2,L3,V3,M3} { ! eqangle( Z, X, X, Y, X, Y, Z, Y ), coll(
% 15.24/15.60 Z, X, Y ), cong( Z, X, Z, Y ) }.
% 15.24/15.60 (56846) {G0,W19,D2,L3,V5,M3} { ! circle( U, X, Y, Z ), ! perp( U, X, X, T
% 15.24/15.60 ), eqangle( X, T, X, Y, Z, X, Z, Y ) }.
% 15.24/15.60 (56847) {G0,W19,D2,L3,V5,M3} { ! circle( Y, X, T, U ), ! eqangle( X, Z, X
% 15.24/15.60 , T, U, X, U, T ), perp( Y, X, X, Z ) }.
% 15.24/15.60 (56848) {G0,W18,D2,L3,V5,M3} { ! circle( T, X, Y, Z ), ! midp( U, Y, Z ),
% 15.24/15.60 eqangle( X, Y, X, Z, T, Y, T, U ) }.
% 15.24/15.60 (56849) {G0,W22,D2,L4,V5,M4} { ! circle( U, T, X, Y ), ! coll( Z, X, Y ),
% 15.24/15.60 ! eqangle( T, X, T, Y, U, X, U, Z ), midp( Z, X, Y ) }.
% 15.24/15.60 (56850) {G0,W14,D2,L3,V4,M3} { ! perp( X, Y, Y, T ), ! midp( Z, X, T ),
% 15.24/15.60 cong( X, Z, Y, Z ) }.
% 15.24/15.60 (56851) {G0,W14,D2,L3,V4,M3} { ! circle( T, X, Y, Z ), ! coll( T, X, Z ),
% 15.24/15.60 perp( X, Y, Y, Z ) }.
% 15.24/15.60 (56852) {G0,W19,D2,L3,V4,M3} { ! cyclic( X, Y, Z, T ), ! para( X, Y, Z, T
% 15.24/15.60 ), eqangle( X, T, Z, T, Z, T, Z, Y ) }.
% 15.24/15.60 (56853) {G0,W14,D2,L3,V4,M3} { ! midp( T, X, Y ), ! perp( Z, T, X, Y ),
% 15.24/15.60 cong( Z, X, Z, Y ) }.
% 15.24/15.60 (56854) {G0,W15,D2,L3,V4,M3} { ! cong( X, Z, Y, Z ), ! cong( X, T, Y, T )
% 15.24/15.60 , perp( X, Y, Z, T ) }.
% 15.24/15.60 (56855) {G0,W20,D2,L4,V4,M4} { ! cong( X, Y, T, Y ), ! cong( X, Z, T, Z )
% 15.24/15.60 , ! cyclic( X, T, Y, Z ), perp( Y, X, X, Z ) }.
% 15.24/15.60 (56856) {G0,W29,D2,L4,V6,M4} { ! eqangle( X, Y, Y, Z, T, U, U, W ), !
% 15.24/15.60 eqangle( X, Z, Y, Z, T, W, U, W ), coll( X, Y, Z ), simtri( X, Y, Z, T, U
% 15.24/15.60 , W ) }.
% 15.24/15.60 (56857) {G0,W16,D2,L2,V6,M2} { ! simtri( X, Y, Z, T, U, W ), eqratio( X, Y
% 15.24/15.60 , X, Z, T, U, T, W ) }.
% 15.24/15.60 (56858) {G0,W16,D2,L2,V6,M2} { ! simtri( X, Y, Z, T, U, W ), eqangle( X, Y
% 15.24/15.60 , Y, Z, T, U, U, W ) }.
% 15.24/15.60 (56859) {G0,W19,D2,L3,V6,M3} { ! simtri( X, Y, Z, T, U, W ), ! cong( X, Y
% 15.24/15.60 , T, U ), contri( X, Y, Z, T, U, W ) }.
% 15.24/15.60 (56860) {G0,W12,D2,L2,V6,M2} { ! contri( X, Y, U, Z, T, W ), cong( X, Y, Z
% 15.24/15.60 , T ) }.
% 15.24/15.60 (56861) {G0,W13,D2,L3,V5,M3} { ! midp( U, X, Y ), ! midp( U, Z, T ), para
% 15.24/15.60 ( X, Z, Y, T ) }.
% 15.24/15.60 (56862) {G0,W18,D2,L4,V5,M4} { ! midp( Z, T, U ), ! para( T, X, U, Y ), !
% 15.24/15.60 para( T, Y, U, X ), midp( Z, X, Y ) }.
% 15.24/15.60 (56863) {G0,W22,D2,L4,V5,M4} { ! para( X, Y, Z, T ), ! coll( U, X, Z ), !
% 15.24/15.60 coll( U, Y, T ), eqratio( U, X, X, Z, U, Y, Y, T ) }.
% 15.24/15.60 (56864) {G0,W9,D2,L2,V3,M2} { ! para( X, Y, X, Z ), coll( X, Y, Z ) }.
% 15.24/15.60 (56865) {G0,W13,D2,L3,V3,M3} { ! cong( X, Y, X, Z ), ! coll( X, Y, Z ),
% 15.24/15.60 midp( X, Y, Z ) }.
% 15.24/15.60 (56866) {G0,W9,D2,L2,V3,M2} { ! midp( X, Y, Z ), cong( X, Y, X, Z ) }.
% 15.24/15.60 (56867) {G0,W8,D2,L2,V3,M2} { ! midp( X, Y, Z ), coll( X, Y, Z ) }.
% 15.24/15.60 (56868) {G0,W17,D2,L3,V6,M3} { ! midp( U, X, Y ), ! midp( W, Z, T ),
% 15.24/15.60 eqratio( U, X, X, Y, W, Z, Z, T ) }.
% 15.24/15.60 (56869) {G0,W19,D2,L3,V4,M3} { ! eqangle( X, Y, Z, T, Z, T, X, Y ), para(
% 15.24/15.60 X, Y, Z, T ), perp( X, Y, Z, T ) }.
% 15.24/15.60 (56870) {G0,W19,D2,L3,V4,M3} { ! eqangle( X, Y, Z, T, Z, T, X, Y ), perp(
% 15.24/15.60 X, Y, Z, T ), para( X, Y, Z, T ) }.
% 15.24/15.60 (56871) {G0,W19,D2,L3,V8,M3} { ! eqangle( X, Y, Z, T, U, W, V0, V1 ), !
% 15.24/15.60 para( U, W, V0, V1 ), para( X, Y, Z, T ) }.
% 15.24/15.60 (56872) {G0,W19,D2,L3,V8,M3} { ! eqangle( X, Y, Z, T, U, W, V0, V1 ), !
% 15.24/15.60 perp( U, W, V0, V1 ), perp( X, Y, Z, T ) }.
% 15.24/15.60 (56873) {G0,W19,D2,L3,V8,M3} { ! eqratio( X, Y, Z, T, U, W, V0, V1 ), !
% 15.24/15.60 cong( U, W, V0, V1 ), cong( X, Y, Z, T ) }.
% 15.24/15.60 (56874) {G0,W22,D3,L3,V6,M3} { ! perp( Z, Y, Y, X ), ! eqangle( T, Z, Y, Z
% 15.24/15.60 , Y, Z, X, Z ), coll( skol1( U, W, Z, T ), Z, T ) }.
% 15.24/15.60 (56875) {G0,W22,D3,L3,V4,M3} { ! perp( Z, Y, Y, X ), ! eqangle( T, Z, Y, Z
% 15.24/15.60 , Y, Z, X, Z ), coll( skol1( X, Y, Z, T ), X, Y ) }.
% 15.24/15.60 (56876) {G0,W22,D3,L3,V6,M3} { ! cong( Z, X, Z, Y ), ! eqangle( X, Z, Z, T
% 15.24/15.60 , Z, T, Z, Y ), coll( skol2( U, W, Z, T ), Z, T ) }.
% 15.24/15.60 (56877) {G0,W22,D3,L3,V4,M3} { ! cong( Z, X, Z, Y ), ! eqangle( X, Z, Z, T
% 15.24/15.60 , Z, T, Z, Y ), coll( Y, X, skol2( X, Y, Z, T ) ) }.
% 15.24/15.60 (56878) {G0,W22,D3,L3,V6,M3} { ! perp( Z, T, X, Y ), ! eqangle( X, Z, Z, T
% 15.24/15.60 , Z, T, Z, Y ), coll( skol3( U, W, Z, T ), Z, T ) }.
% 15.24/15.60 (56879) {G0,W22,D3,L3,V4,M3} { ! perp( Z, T, X, Y ), ! eqangle( X, Z, Z, T
% 15.24/15.60 , Z, T, Z, Y ), coll( Y, X, skol3( X, Y, Z, T ) ) }.
% 15.24/15.60 (56880) {G0,W18,D3,L3,V6,M3} { ! perp( Z, T, X, Y ), ! cong( Z, X, Z, Y )
% 15.24/15.60 , coll( skol4( U, W, Z, T ), Z, T ) }.
% 15.24/15.60 (56881) {G0,W18,D3,L3,V4,M3} { ! perp( Z, T, X, Y ), ! cong( Z, X, Z, Y )
% 15.24/15.60 , coll( Y, X, skol4( X, Y, Z, T ) ) }.
% 15.24/15.60 (56882) {G0,W22,D3,L3,V6,M3} { ! eqangle( X, Z, Y, Z, X, T, Y, U ), coll(
% 15.24/15.60 X, Y, Z ), cyclic( T, Y, Z, skol5( W, Y, Z, T ) ) }.
% 15.24/15.60 (56883) {G0,W30,D3,L3,V5,M3} { ! eqangle( X, Z, Y, Z, X, T, Y, U ), coll(
% 15.24/15.60 X, Y, Z ), eqangle( X, Z, Y, Z, X, skol5( X, Y, Z, T ), Y, skol5( X, Y, Z
% 15.24/15.60 , T ) ) }.
% 15.24/15.60 (56884) {G0,W18,D3,L3,V10,M3} { ! midp( U, X, Y ), ! midp( W, Z, T ), midp
% 15.24/15.60 ( skol6( X, V0, V1, T, V2, V3 ), X, T ) }.
% 15.24/15.60 (56885) {G0,W19,D3,L3,V8,M3} { ! midp( U, X, Y ), ! midp( W, Z, T ), para
% 15.24/15.60 ( skol6( X, V0, Z, T, V1, W ), W, X, Z ) }.
% 15.24/15.60 (56886) {G0,W19,D3,L3,V6,M3} { ! midp( U, X, Y ), ! midp( W, Z, T ), para
% 15.24/15.60 ( skol6( X, Y, Z, T, U, W ), U, Y, T ) }.
% 15.24/15.60 (56887) {G0,W22,D3,L5,V7,M5} { ! midp( Z, X, Y ), ! midp( W, T, U ), !
% 15.24/15.60 coll( T, X, Y ), ! coll( U, X, Y ), midp( skol7( X, V0 ), X, V0 ) }.
% 15.24/15.60 (56888) {G0,W26,D3,L5,V8,M5} { ! midp( T, X, U ), ! para( X, W, Z, T ), !
% 15.24/15.60 para( X, W, U, Y ), ! coll( W, Y, Z ), coll( skol8( V0, V1, Z, T ), T, Z
% 15.24/15.60 ) }.
% 15.24/15.60 (56889) {G0,W26,D3,L5,V6,M5} { ! midp( T, X, U ), ! para( X, W, Z, T ), !
% 15.24/15.60 para( X, W, U, Y ), ! coll( W, Y, Z ), coll( skol8( X, Y, Z, T ), X, Y )
% 15.24/15.60 }.
% 15.24/15.60 (56890) {G0,W19,D3,L3,V7,M3} { ! cong( T, Z, T, U ), ! perp( X, Y, Y, T )
% 15.24/15.60 , cong( T, Z, T, skol9( W, V0, Z, T ) ) }.
% 15.24/15.60 (56891) {G0,W19,D3,L3,V6,M3} { ! cong( T, Z, T, U ), ! perp( X, Y, Y, T )
% 15.24/15.60 , cong( Y, Z, Y, skol9( W, Y, Z, T ) ) }.
% 15.24/15.60 (56892) {G0,W19,D3,L3,V5,M3} { ! cong( T, Z, T, U ), ! perp( X, Y, Y, T )
% 15.24/15.60 , para( skol9( X, Y, Z, T ), Z, X, Y ) }.
% 15.24/15.60 (56893) {G0,W17,D3,L3,V5,M3} { ! perp( X, T, Y, Z ), ! perp( Y, T, X, Z )
% 15.24/15.60 , coll( skol10( U, Y, Z ), Z, Y ) }.
% 15.24/15.60 (56894) {G0,W18,D3,L3,V4,M3} { ! perp( X, T, Y, Z ), ! perp( Y, T, X, Z )
% 15.24/15.60 , perp( X, skol10( X, Y, Z ), Z, Y ) }.
% 15.24/15.60 (56895) {G0,W14,D2,L3,V4,M3} { ! perp( X, T, Y, Z ), ! perp( Y, T, X, Z )
% 15.24/15.60 , alpha1( X, Y, Z ) }.
% 15.24/15.60 (56896) {G0,W11,D3,L2,V4,M2} { ! alpha1( X, Y, Z ), coll( skol11( X, T, Z
% 15.24/15.60 ), Z, X ) }.
% 15.24/15.60 (56897) {G0,W12,D3,L2,V3,M2} { ! alpha1( X, Y, Z ), perp( Y, skol11( X, Y
% 15.24/15.60 , Z ), Z, X ) }.
% 15.24/15.60 (56898) {G0,W13,D2,L3,V4,M3} { ! coll( T, Z, X ), ! perp( Y, T, Z, X ),
% 15.24/15.60 alpha1( X, Y, Z ) }.
% 15.24/15.60 (56899) {G0,W12,D3,L2,V4,M2} { ! circle( Y, X, Z, T ), perp( skol12( X, Y
% 15.24/15.60 ), X, X, Y ) }.
% 15.24/15.60 (56900) {G0,W28,D3,L5,V8,M5} { ! circle( W, X, Y, Z ), ! cong( W, X, W, T
% 15.24/15.60 ), ! cong( U, X, U, Y ), W = U, alpha2( X, Z, U, skol13( X, V0, Z, V1, U
% 15.24/15.60 ) ) }.
% 15.24/15.60 (56901) {G0,W26,D3,L5,V8,M5} { ! circle( W, X, Y, Z ), ! cong( W, X, W, T
% 15.24/15.60 ), ! cong( U, X, U, Y ), W = U, coll( skol21( V0, Y, T, V1 ), Y, T ) }.
% 15.24/15.60 (56902) {G0,W27,D3,L5,V6,M5} { ! circle( W, X, Y, Z ), ! cong( W, X, W, T
% 15.24/15.60 ), ! cong( U, X, U, Y ), W = U, cong( skol21( X, Y, T, U ), U, U, X )
% 15.24/15.60 }.
% 15.24/15.60 (56903) {G0,W9,D2,L2,V4,M2} { ! alpha2( X, Y, Z, T ), coll( T, X, Y ) }.
% 15.24/15.60 (56904) {G0,W10,D2,L2,V4,M2} { ! alpha2( X, Y, Z, T ), cong( T, Z, Z, X )
% 15.24/15.60 }.
% 15.24/15.60 (56905) {G0,W14,D2,L3,V4,M3} { ! coll( T, X, Y ), ! cong( T, Z, Z, X ),
% 15.24/15.60 alpha2( X, Y, Z, T ) }.
% 15.24/15.60 (56906) {G0,W22,D3,L4,V5,M4} { ! cyclic( X, Y, Z, T ), ! para( X, Y, Z, T
% 15.24/15.60 ), ! midp( U, X, Y ), circle( skol14( X, Y, Z ), X, Y, Z ) }.
% 15.24/15.60 (56907) {G0,W18,D3,L3,V4,M3} { ! perp( X, Z, Z, Y ), ! cyclic( X, Y, Z, T
% 15.24/15.60 ), circle( skol15( X, Y, Z ), X, Y, Z ) }.
% 15.24/15.60 (56908) {G0,W16,D3,L3,V6,M3} { ! perp( X, U, U, T ), ! coll( T, Y, Z ),
% 15.24/15.60 coll( skol16( W, Y, Z ), Y, Z ) }.
% 15.24/15.60 (56909) {G0,W17,D3,L3,V5,M3} { ! perp( X, U, U, T ), ! coll( T, Y, Z ),
% 15.24/15.60 perp( skol16( X, Y, Z ), X, Y, Z ) }.
% 15.24/15.60 (56910) {G0,W20,D3,L4,V5,M4} { ! perp( X, Z, X, Y ), ! perp( Y, X, Y, T )
% 15.24/15.60 , ! midp( U, Z, T ), midp( skol17( X, Y ), X, Y ) }.
% 15.24/15.60 (56911) {G0,W16,D3,L3,V3,M3} { ! cong( Y, X, Y, Z ), ! perp( X, Y, Y, Z )
% 15.24/15.60 , coll( X, Y, skol18( X, Y ) ) }.
% 15.24/15.60 (56912) {G0,W17,D3,L3,V3,M3} { ! cong( Y, X, Y, Z ), ! perp( X, Y, Y, Z )
% 15.24/15.60 , cong( Y, X, Y, skol18( X, Y ) ) }.
% 15.24/15.60 (56913) {G0,W25,D3,L5,V8,M5} { ! para( U, W, X, Y ), ! coll( Z, U, X ), !
% 15.24/15.60 coll( Z, W, Y ), ! coll( T, U, W ), coll( Z, T, skol19( V0, V1, Z, T ) )
% 15.24/15.60 }.
% 15.24/15.60 (56914) {G0,W25,D3,L5,V6,M5} { ! para( U, W, X, Y ), ! coll( Z, U, X ), !
% 15.24/15.60 coll( Z, W, Y ), ! coll( T, U, W ), coll( skol19( X, Y, Z, T ), X, Y )
% 15.24/15.60 }.
% 15.24/15.60 (56915) {G0,W5,D2,L1,V0,M1} { para( skol25, skol26, skol27, skol28 ) }.
% 15.24/15.60 (56916) {G0,W5,D2,L1,V0,M1} { para( skol25, skol27, skol26, skol28 ) }.
% 15.24/15.60 (56917) {G0,W4,D2,L1,V0,M1} { coll( skol29, skol25, skol27 ) }.
% 15.24/15.60 (56918) {G0,W5,D2,L1,V0,M1} { perp( skol20, skol29, skol27, skol28 ) }.
% 15.24/15.60 (56919) {G0,W4,D2,L1,V0,M1} { coll( skol20, skol27, skol28 ) }.
% 15.24/15.60 (56920) {G0,W5,D2,L1,V0,M1} { perp( skol22, skol29, skol26, skol27 ) }.
% 15.24/15.60 (56921) {G0,W4,D2,L1,V0,M1} { coll( skol22, skol26, skol27 ) }.
% 15.24/15.60 (56922) {G0,W4,D2,L1,V0,M1} { coll( skol23, skol29, skol22 ) }.
% 15.24/15.60 (56923) {G0,W4,D2,L1,V0,M1} { coll( skol23, skol25, skol28 ) }.
% 15.24/15.60 (56924) {G0,W4,D2,L1,V0,M1} { coll( skol24, skol29, skol20 ) }.
% 15.24/15.60 (56925) {G0,W4,D2,L1,V0,M1} { coll( skol24, skol25, skol26 ) }.
% 15.24/15.60 (56926) {G0,W5,D2,L1,V0,M1} { ! para( skol22, skol20, skol23, skol24 ) }.
% 15.24/15.60
% 15.24/15.60
% 15.24/15.60 Total Proof:
% 15.24/15.60
% 15.24/15.60 subsumption: (0) {G0,W8,D2,L2,V3,M2} I { ! coll( X, Y, Z ), coll( X, Z, Y )
% 15.24/15.60 }.
% 15.24/15.60 parent0: (56798) {G0,W8,D2,L2,V3,M2} { ! coll( X, Y, Z ), coll( X, Z, Y )
% 15.24/15.60 }.
% 15.24/15.60 substitution0:
% 15.24/15.60 X := X
% 15.24/15.60 Y := Y
% 15.24/15.60 Z := Z
% 15.24/15.60 end
% 15.24/15.60 permutation0:
% 15.24/15.60 0 ==> 0
% 15.24/15.60 1 ==> 1
% 15.24/15.60 end
% 15.24/15.60
% 15.24/15.60 subsumption: (1) {G0,W8,D2,L2,V3,M2} I { ! coll( X, Y, Z ), coll( Y, X, Z )
% 15.24/15.60 }.
% 15.24/15.60 parent0: (56799) {G0,W8,D2,L2,V3,M2} { ! coll( X, Y, Z ), coll( Y, X, Z )
% 15.24/15.60 }.
% 15.24/15.60 substitution0:
% 15.24/15.60 X := X
% 15.24/15.60 Y := Y
% 15.24/15.60 Z := Z
% 15.24/15.60 end
% 15.24/15.60 permutation0:
% 15.24/15.60 0 ==> 0
% 15.24/15.60 1 ==> 1
% 15.24/15.60 end
% 15.24/15.60
% 15.24/15.60 subsumption: (2) {G0,W12,D2,L3,V4,M3} I { ! coll( X, T, Y ), ! coll( X, T,
% 15.24/15.60 Z ), coll( Y, Z, X ) }.
% 15.24/15.60 parent0: (56800) {G0,W12,D2,L3,V4,M3} { ! coll( X, T, Y ), ! coll( X, T, Z
% 15.24/15.60 ), coll( Y, Z, X ) }.
% 15.24/15.60 substitution0:
% 15.24/15.60 X := X
% 15.24/15.60 Y := Y
% 15.24/15.60 Z := Z
% 15.24/15.60 T := T
% 15.24/15.60 end
% 15.24/15.60 permutation0:
% 15.24/15.60 0 ==> 0
% 15.24/15.60 1 ==> 1
% 15.24/15.60 2 ==> 2
% 15.24/15.60 end
% 15.24/15.60
% 15.24/15.60 subsumption: (3) {G0,W10,D2,L2,V4,M2} I { ! para( X, Y, Z, T ), para( X, Y
% 15.24/15.60 , T, Z ) }.
% 15.24/15.60 parent0: (56801) {G0,W10,D2,L2,V4,M2} { ! para( X, Y, Z, T ), para( X, Y,
% 15.24/15.60 T, Z ) }.
% 15.24/15.60 substitution0:
% 15.24/15.60 X := X
% 15.24/15.60 Y := Y
% 15.24/15.60 Z := Z
% 15.24/15.60 T := T
% 15.24/15.60 end
% 15.24/15.60 permutation0:
% 15.24/15.60 0 ==> 0
% 15.24/15.60 1 ==> 1
% 15.24/15.61 end
% 15.24/15.61
% 15.24/15.61 subsumption: (6) {G0,W10,D2,L2,V4,M2} I { ! perp( X, Y, Z, T ), perp( X, Y
% 15.24/15.61 , T, Z ) }.
% 15.24/15.61 parent0: (56804) {G0,W10,D2,L2,V4,M2} { ! perp( X, Y, Z, T ), perp( X, Y,
% 15.24/15.61 T, Z ) }.
% 15.24/15.61 substitution0:
% 15.24/15.61 X := X
% 15.24/15.61 Y := Y
% 15.24/15.61 Z := Z
% 15.24/15.61 T := T
% 15.24/15.61 end
% 15.24/15.61 permutation0:
% 15.24/15.61 0 ==> 0
% 15.24/15.61 1 ==> 1
% 15.24/15.61 end
% 15.24/15.61
% 15.24/15.61 subsumption: (7) {G0,W10,D2,L2,V4,M2} I { ! perp( X, Y, Z, T ), perp( Z, T
% 15.24/15.61 , X, Y ) }.
% 15.24/15.61 parent0: (56805) {G0,W10,D2,L2,V4,M2} { ! perp( X, Y, Z, T ), perp( Z, T,
% 15.24/15.61 X, Y ) }.
% 15.24/15.61 substitution0:
% 15.24/15.61 X := X
% 15.24/15.61 Y := Y
% 15.24/15.61 Z := Z
% 15.24/15.61 T := T
% 15.24/15.61 end
% 15.24/15.61 permutation0:
% 15.24/15.61 0 ==> 0
% 15.24/15.61 1 ==> 1
% 15.24/15.61 end
% 15.24/15.61
% 15.24/15.61 subsumption: (8) {G0,W15,D2,L3,V6,M3} I { ! perp( X, Y, U, W ), ! perp( U,
% 15.24/15.61 W, Z, T ), para( X, Y, Z, T ) }.
% 15.24/15.61 parent0: (56806) {G0,W15,D2,L3,V6,M3} { ! perp( X, Y, U, W ), ! perp( U, W
% 15.24/15.61 , Z, T ), para( X, Y, Z, T ) }.
% 15.24/15.61 substitution0:
% 15.24/15.61 X := X
% 15.24/15.61 Y := Y
% 15.24/15.61 Z := Z
% 15.24/15.61 T := T
% 15.24/15.61 U := U
% 15.24/15.61 W := W
% 15.24/15.61 end
% 15.24/15.61 permutation0:
% 15.24/15.61 0 ==> 0
% 15.24/15.61 1 ==> 1
% 15.24/15.61 2 ==> 2
% 15.24/15.61 end
% 15.24/15.61
% 15.24/15.61 subsumption: (13) {G0,W10,D2,L2,V4,M2} I { ! cyclic( X, Y, Z, T ), cyclic(
% 15.24/15.61 X, Y, T, Z ) }.
% 15.24/15.61 parent0: (56811) {G0,W10,D2,L2,V4,M2} { ! cyclic( X, Y, Z, T ), cyclic( X
% 15.24/15.61 , Y, T, Z ) }.
% 15.24/15.61 substitution0:
% 15.24/15.61 X := X
% 15.24/15.61 Y := Y
% 15.24/15.61 Z := Z
% 15.24/15.61 T := T
% 15.24/15.61 end
% 15.24/15.61 permutation0:
% 15.24/15.61 0 ==> 0
% 15.24/15.61 1 ==> 1
% 15.24/15.61 end
% 15.24/15.61
% 15.24/15.61 subsumption: (14) {G0,W10,D2,L2,V4,M2} I { ! cyclic( X, Y, Z, T ), cyclic(
% 15.24/15.61 X, Z, Y, T ) }.
% 15.24/15.61 parent0: (56812) {G0,W10,D2,L2,V4,M2} { ! cyclic( X, Y, Z, T ), cyclic( X
% 15.24/15.61 , Z, Y, T ) }.
% 15.24/15.61 substitution0:
% 15.24/15.61 X := X
% 15.24/15.61 Y := Y
% 15.24/15.61 Z := Z
% 15.24/15.61 T := T
% 15.24/15.61 end
% 15.24/15.61 permutation0:
% 15.24/15.61 0 ==> 0
% 15.24/15.61 1 ==> 1
% 15.24/15.61 end
% 15.24/15.61
% 15.24/15.61 subsumption: (15) {G0,W10,D2,L2,V4,M2} I { ! cyclic( X, Y, Z, T ), cyclic(
% 15.24/15.61 Y, X, Z, T ) }.
% 15.24/15.61 parent0: (56813) {G0,W10,D2,L2,V4,M2} { ! cyclic( X, Y, Z, T ), cyclic( Y
% 15.24/15.61 , X, Z, T ) }.
% 15.24/15.61 substitution0:
% 15.24/15.61 X := X
% 15.24/15.61 Y := Y
% 15.24/15.61 Z := Z
% 15.24/15.61 T := T
% 15.24/15.61 end
% 15.24/15.61 permutation0:
% 15.24/15.61 0 ==> 0
% 15.24/15.61 1 ==> 1
% 15.24/15.61 end
% 15.24/15.61
% 15.24/15.61 subsumption: (16) {G0,W15,D2,L3,V5,M3} I { ! cyclic( U, X, Y, Z ), ! cyclic
% 15.24/15.61 ( U, X, Y, T ), cyclic( X, Y, Z, T ) }.
% 15.24/15.61 parent0: (56814) {G0,W15,D2,L3,V5,M3} { ! cyclic( U, X, Y, Z ), ! cyclic(
% 15.24/15.61 U, X, Y, T ), cyclic( X, Y, Z, T ) }.
% 15.24/15.61 substitution0:
% 15.24/15.61 X := X
% 15.24/15.61 Y := Y
% 15.24/15.61 Z := Z
% 15.24/15.61 T := T
% 15.24/15.61 U := U
% 15.24/15.61 end
% 15.24/15.61 permutation0:
% 15.24/15.61 0 ==> 0
% 15.24/15.61 1 ==> 1
% 15.24/15.61 2 ==> 2
% 15.24/15.61 end
% 15.24/15.61
% 15.24/15.61 subsumption: (18) {G0,W18,D2,L2,V8,M2} I { ! eqangle( X, Y, Z, T, U, W, V0
% 15.24/15.61 , V1 ), eqangle( Z, T, X, Y, V0, V1, U, W ) }.
% 15.24/15.61 parent0: (56816) {G0,W18,D2,L2,V8,M2} { ! eqangle( X, Y, Z, T, U, W, V0,
% 15.24/15.61 V1 ), eqangle( Z, T, X, Y, V0, V1, U, W ) }.
% 15.24/15.61 substitution0:
% 15.24/15.61 X := X
% 15.24/15.61 Y := Y
% 15.24/15.61 Z := Z
% 15.24/15.61 T := T
% 15.24/15.61 U := U
% 15.24/15.61 W := W
% 15.24/15.61 V0 := V0
% 15.24/15.61 V1 := V1
% 15.24/15.61 end
% 15.24/15.61 permutation0:
% 15.24/15.61 0 ==> 0
% 15.24/15.61 1 ==> 1
% 15.24/15.61 end
% 15.24/15.61
% 15.24/15.61 subsumption: (39) {G0,W14,D2,L2,V6,M2} I { ! para( X, Y, Z, T ), eqangle( X
% 15.24/15.61 , Y, U, W, Z, T, U, W ) }.
% 15.24/15.61 parent0: (56837) {G0,W14,D2,L2,V6,M2} { ! para( X, Y, Z, T ), eqangle( X,
% 15.24/15.61 Y, U, W, Z, T, U, W ) }.
% 15.24/15.61 substitution0:
% 15.24/15.61 X := X
% 15.24/15.61 Y := Y
% 15.24/15.61 Z := Z
% 15.24/15.61 T := T
% 15.24/15.61 U := U
% 15.24/15.61 W := W
% 15.24/15.61 end
% 15.24/15.61 permutation0:
% 15.24/15.61 0 ==> 0
% 15.24/15.61 1 ==> 1
% 15.24/15.61 end
% 15.24/15.61
% 15.24/15.61 subsumption: (40) {G0,W14,D2,L2,V4,M2} I { ! cyclic( X, Y, Z, T ), eqangle
% 15.24/15.61 ( Z, X, Z, Y, T, X, T, Y ) }.
% 15.24/15.61 parent0: (56838) {G0,W14,D2,L2,V4,M2} { ! cyclic( X, Y, Z, T ), eqangle( Z
% 15.24/15.61 , X, Z, Y, T, X, T, Y ) }.
% 15.24/15.61 substitution0:
% 15.24/15.61 X := X
% 15.24/15.61 Y := Y
% 15.24/15.61 Z := Z
% 15.24/15.61 T := T
% 15.24/15.61 end
% 15.24/15.61 permutation0:
% 15.24/15.61 0 ==> 0
% 15.24/15.61 1 ==> 1
% 15.24/15.61 end
% 15.24/15.61
% 15.24/15.61 subsumption: (42) {G0,W18,D2,L3,V4,M3} I { ! eqangle( Z, X, Z, Y, T, X, T,
% 15.24/15.61 Y ), ! coll( Z, T, Y ), cyclic( X, Y, Z, T ) }.
% 15.24/15.61 parent0: (56840) {G0,W18,D2,L3,V4,M3} { ! eqangle( Z, X, Z, Y, T, X, T, Y
% 15.24/15.61 ), ! coll( Z, T, Y ), cyclic( X, Y, Z, T ) }.
% 15.24/15.61 substitution0:
% 15.24/15.61 X := X
% 15.24/15.61 Y := Y
% 15.24/15.61 Z := Z
% 15.24/15.61 T := T
% 15.24/15.61 end
% 15.24/15.61 permutation0:
% 15.24/15.61 0 ==> 0
% 15.24/15.61 1 ==> 1
% 15.24/15.61 2 ==> 2
% 15.24/15.61 end
% 15.24/15.61
% 15.24/15.61 subsumption: (43) {G0,W29,D2,L5,V6,M5} I { ! cyclic( X, Y, U, Z ), ! cyclic
% 15.24/15.61 ( X, Y, U, T ), ! cyclic( X, Y, U, W ), ! eqangle( U, X, U, Y, W, Z, W, T
% 15.24/15.61 ), cong( X, Y, Z, T ) }.
% 15.24/15.61 parent0: (56841) {G0,W29,D2,L5,V6,M5} { ! cyclic( X, Y, U, Z ), ! cyclic(
% 15.24/15.61 X, Y, U, T ), ! cyclic( X, Y, U, W ), ! eqangle( U, X, U, Y, W, Z, W, T )
% 15.24/15.61 , cong( X, Y, Z, T ) }.
% 15.24/15.61 substitution0:
% 15.24/15.61 X := X
% 15.24/15.61 Y := Y
% 15.24/15.61 Z := Z
% 15.24/15.61 T := T
% 15.24/15.61 U := U
% 15.24/15.61 W := W
% 15.24/15.61 end
% 15.24/15.61 permutation0:
% 15.24/15.61 0 ==> 0
% 15.24/15.61 1 ==> 1
% 15.24/15.61 2 ==> 2
% 15.24/15.61 3 ==> 3
% 15.24/15.61 4 ==> 4
% 15.24/15.61 end
% 15.24/15.61
% 15.24/15.61 subsumption: (44) {G0,W13,D2,L3,V5,M3} I { ! midp( Z, U, X ), ! midp( T, U
% 15.24/15.61 , Y ), para( Z, T, X, Y ) }.
% 15.24/15.61 parent0: (56842) {G0,W13,D2,L3,V5,M3} { ! midp( Z, U, X ), ! midp( T, U, Y
% 15.24/15.61 ), para( Z, T, X, Y ) }.
% 15.24/15.61 substitution0:
% 15.24/15.61 X := X
% 15.24/15.61 Y := Y
% 15.24/15.61 Z := Z
% 15.24/15.61 T := T
% 15.24/15.61 U := U
% 15.24/15.61 end
% 15.24/15.61 permutation0:
% 15.24/15.61 0 ==> 0
% 15.24/15.61 1 ==> 1
% 15.24/15.61 2 ==> 2
% 15.24/15.61 end
% 15.24/15.61
% 15.24/15.61 subsumption: (45) {G0,W17,D2,L4,V5,M4} I { ! midp( U, X, T ), ! para( U, Z
% 15.24/15.61 , T, Y ), ! coll( Z, X, Y ), midp( Z, X, Y ) }.
% 15.24/15.61 parent0: (56843) {G0,W17,D2,L4,V5,M4} { ! midp( U, X, T ), ! para( U, Z, T
% 15.24/15.61 , Y ), ! coll( Z, X, Y ), midp( Z, X, Y ) }.
% 15.24/15.61 substitution0:
% 15.24/15.61 X := X
% 15.24/15.61 Y := Y
% 15.24/15.61 Z := Z
% 15.24/15.61 T := T
% 15.24/15.61 U := U
% 15.24/15.61 end
% 15.24/15.61 permutation0:
% 15.24/15.61 0 ==> 0
% 15.24/15.61 1 ==> 1
% 15.24/15.61 2 ==> 2
% 15.24/15.61 3 ==> 3
% 15.24/15.61 end
% 15.24/15.61
% 15.24/15.61 subsumption: (56) {G0,W15,D2,L3,V4,M3} I { ! cong( X, Z, Y, Z ), ! cong( X
% 15.24/15.61 , T, Y, T ), perp( X, Y, Z, T ) }.
% 15.24/15.61 parent0: (56854) {G0,W15,D2,L3,V4,M3} { ! cong( X, Z, Y, Z ), ! cong( X, T
% 15.24/15.61 , Y, T ), perp( X, Y, Z, T ) }.
% 15.24/15.61 substitution0:
% 15.24/15.61 X := X
% 15.24/15.61 Y := Y
% 15.24/15.61 Z := Z
% 15.24/15.61 T := T
% 15.24/15.61 end
% 15.24/15.61 permutation0:
% 15.24/15.61 0 ==> 0
% 15.24/15.61 1 ==> 1
% 15.24/15.61 2 ==> 2
% 15.24/15.61 end
% 15.24/15.61
% 15.24/15.61 subsumption: (67) {G0,W13,D2,L3,V3,M3} I { ! cong( X, Y, X, Z ), ! coll( X
% 15.24/15.61 , Y, Z ), midp( X, Y, Z ) }.
% 15.24/15.61 parent0: (56865) {G0,W13,D2,L3,V3,M3} { ! cong( X, Y, X, Z ), ! coll( X, Y
% 15.24/15.61 , Z ), midp( X, Y, Z ) }.
% 15.24/15.61 substitution0:
% 15.24/15.61 X := X
% 15.24/15.61 Y := Y
% 15.24/15.61 Z := Z
% 15.24/15.61 end
% 15.24/15.61 permutation0:
% 15.24/15.61 0 ==> 0
% 15.24/15.61 1 ==> 1
% 15.24/15.61 2 ==> 2
% 15.24/15.61 end
% 15.24/15.61
% 15.24/15.61 subsumption: (96) {G0,W14,D2,L3,V4,M3} I { ! perp( X, T, Y, Z ), ! perp( Y
% 15.24/15.61 , T, X, Z ), alpha1( X, Y, Z ) }.
% 15.24/15.61 parent0: (56895) {G0,W14,D2,L3,V4,M3} { ! perp( X, T, Y, Z ), ! perp( Y, T
% 15.24/15.61 , X, Z ), alpha1( X, Y, Z ) }.
% 15.24/15.61 substitution0:
% 15.24/15.61 X := X
% 15.24/15.61 Y := Y
% 15.24/15.61 Z := Z
% 15.24/15.61 T := T
% 15.24/15.61 end
% 15.24/15.61 permutation0:
% 15.24/15.61 0 ==> 0
% 15.24/15.61 1 ==> 1
% 15.24/15.61 2 ==> 2
% 15.24/15.61 end
% 15.24/15.61
% 15.24/15.61 subsumption: (97) {G0,W11,D3,L2,V4,M2} I { ! alpha1( X, Y, Z ), coll(
% 15.24/15.61 skol11( X, T, Z ), Z, X ) }.
% 15.24/15.61 parent0: (56896) {G0,W11,D3,L2,V4,M2} { ! alpha1( X, Y, Z ), coll( skol11
% 15.24/15.61 ( X, T, Z ), Z, X ) }.
% 15.24/15.61 substitution0:
% 15.24/15.61 X := X
% 15.24/15.61 Y := Y
% 15.24/15.61 Z := Z
% 15.24/15.61 T := T
% 15.24/15.61 end
% 15.24/15.61 permutation0:
% 15.24/15.61 0 ==> 0
% 15.24/15.61 1 ==> 1
% 15.24/15.61 end
% 15.24/15.61
% 15.24/15.61 subsumption: (121) {G0,W5,D2,L1,V0,M1} I { perp( skol22, skol29, skol26,
% 15.24/15.61 skol27 ) }.
% 15.24/15.61 parent0: (56920) {G0,W5,D2,L1,V0,M1} { perp( skol22, skol29, skol26,
% 15.24/15.61 skol27 ) }.
% 15.24/15.61 substitution0:
% 15.24/15.61 end
% 15.24/15.61 permutation0:
% 15.24/15.61 0 ==> 0
% 15.24/15.61 end
% 15.24/15.61
% 15.24/15.61 subsumption: (123) {G0,W4,D2,L1,V0,M1} I { coll( skol23, skol29, skol22 )
% 15.24/15.61 }.
% 15.24/15.61 parent0: (56922) {G0,W4,D2,L1,V0,M1} { coll( skol23, skol29, skol22 ) }.
% 15.24/15.61 substitution0:
% 15.24/15.61 end
% 15.24/15.61 permutation0:
% 15.24/15.61 0 ==> 0
% 15.24/15.61 end
% 15.24/15.61
% 15.24/15.61 subsumption: (127) {G0,W5,D2,L1,V0,M1} I { ! para( skol22, skol20, skol23,
% 15.24/15.61 skol24 ) }.
% 15.24/15.61 parent0: (56926) {G0,W5,D2,L1,V0,M1} { ! para( skol22, skol20, skol23,
% 15.24/15.61 skol24 ) }.
% 15.24/15.61 substitution0:
% 15.24/15.61 end
% 15.24/15.61 permutation0:
% 15.24/15.61 0 ==> 0
% 15.24/15.61 end
% 15.24/15.61
% 15.24/15.61 factor: (57351) {G0,W9,D2,L2,V3,M2} { ! perp( X, Y, X, Z ), alpha1( X, X,
% 15.24/15.61 Z ) }.
% 15.24/15.61 parent0[0, 1]: (96) {G0,W14,D2,L3,V4,M3} I { ! perp( X, T, Y, Z ), ! perp(
% 15.24/15.61 Y, T, X, Z ), alpha1( X, Y, Z ) }.
% 15.24/15.61 substitution0:
% 15.24/15.61 X := X
% 15.24/15.61 Y := X
% 15.24/15.61 Z := Z
% 15.24/15.61 T := Y
% 15.24/15.61 end
% 15.24/15.61
% 15.24/15.61 subsumption: (157) {G1,W9,D2,L2,V3,M2} F(96) { ! perp( X, Y, X, Z ), alpha1
% 15.24/15.61 ( X, X, Z ) }.
% 15.24/15.61 parent0: (57351) {G0,W9,D2,L2,V3,M2} { ! perp( X, Y, X, Z ), alpha1( X, X
% 15.24/15.61 , Z ) }.
% 15.24/15.61 substitution0:
% 15.24/15.61 X := X
% 15.24/15.61 Y := Y
% 15.24/15.61 Z := Z
% 15.24/15.61 end
% 15.24/15.61 permutation0:
% 15.24/15.61 0 ==> 0
% 15.24/15.61 1 ==> 1
% 15.24/15.61 end
% 15.24/15.61
% 15.24/15.61 resolution: (57352) {G1,W4,D2,L1,V0,M1} { coll( skol23, skol22, skol29 )
% 15.24/15.61 }.
% 15.24/15.61 parent0[0]: (0) {G0,W8,D2,L2,V3,M2} I { ! coll( X, Y, Z ), coll( X, Z, Y )
% 15.24/15.61 }.
% 15.24/15.61 parent1[0]: (123) {G0,W4,D2,L1,V0,M1} I { coll( skol23, skol29, skol22 )
% 15.24/15.61 }.
% 15.24/15.61 substitution0:
% 15.24/15.61 X := skol23
% 15.24/15.61 Y := skol29
% 15.24/15.61 Z := skol22
% 15.24/15.61 end
% 15.24/15.61 substitution1:
% 15.24/15.61 end
% 15.24/15.61
% 15.24/15.61 subsumption: (166) {G1,W4,D2,L1,V0,M1} R(0,123) { coll( skol23, skol22,
% 15.24/15.61 skol29 ) }.
% 15.24/15.61 parent0: (57352) {G1,W4,D2,L1,V0,M1} { coll( skol23, skol22, skol29 ) }.
% 15.24/15.61 substitution0:
% 15.24/15.61 end
% 15.24/15.61 permutation0:
% 15.24/15.61 0 ==> 0
% 15.24/15.61 end
% 15.24/15.61
% 15.24/15.61 resolution: (57353) {G1,W4,D2,L1,V0,M1} { coll( skol22, skol23, skol29 )
% 15.24/15.61 }.
% 15.24/15.61 parent0[0]: (1) {G0,W8,D2,L2,V3,M2} I { ! coll( X, Y, Z ), coll( Y, X, Z )
% 15.24/15.61 }.
% 15.24/15.61 parent1[0]: (166) {G1,W4,D2,L1,V0,M1} R(0,123) { coll( skol23, skol22,
% 15.24/15.61 skol29 ) }.
% 15.24/15.61 substitution0:
% 15.24/15.61 X := skol23
% 15.24/15.61 Y := skol22
% 15.24/15.61 Z := skol29
% 15.24/15.61 end
% 15.24/15.61 substitution1:
% 15.24/15.61 end
% 15.24/15.61
% 15.24/15.61 subsumption: (172) {G2,W4,D2,L1,V0,M1} R(1,166) { coll( skol22, skol23,
% 15.24/15.61 skol29 ) }.
% 15.24/15.61 parent0: (57353) {G1,W4,D2,L1,V0,M1} { coll( skol22, skol23, skol29 ) }.
% 15.24/15.61 substitution0:
% 15.24/15.61 end
% 15.24/15.61 permutation0:
% 15.24/15.61 0 ==> 0
% 15.24/15.61 end
% 15.24/15.61
% 15.24/15.61 resolution: (57357) {G1,W12,D2,L3,V4,M3} { coll( X, Z, Y ), ! coll( Z, T,
% 15.24/15.61 X ), ! coll( Z, T, Y ) }.
% 15.24/15.61 parent0[0]: (0) {G0,W8,D2,L2,V3,M2} I { ! coll( X, Y, Z ), coll( X, Z, Y )
% 15.24/15.61 }.
% 15.24/15.61 parent1[2]: (2) {G0,W12,D2,L3,V4,M3} I { ! coll( X, T, Y ), ! coll( X, T, Z
% 15.24/15.61 ), coll( Y, Z, X ) }.
% 15.24/15.61 substitution0:
% 15.24/15.61 X := X
% 15.24/15.61 Y := Y
% 15.24/15.61 Z := Z
% 15.24/15.61 end
% 15.24/15.61 substitution1:
% 15.24/15.61 X := Z
% 15.24/15.61 Y := X
% 15.24/15.61 Z := Y
% 15.24/15.61 T := T
% 15.24/15.61 end
% 15.24/15.61
% 15.24/15.61 subsumption: (206) {G1,W12,D2,L3,V4,M3} R(2,0) { ! coll( X, Y, Z ), ! coll
% 15.24/15.61 ( X, Y, T ), coll( Z, X, T ) }.
% 15.24/15.61 parent0: (57357) {G1,W12,D2,L3,V4,M3} { coll( X, Z, Y ), ! coll( Z, T, X )
% 15.24/15.61 , ! coll( Z, T, Y ) }.
% 15.24/15.61 substitution0:
% 15.24/15.61 X := Z
% 15.24/15.61 Y := T
% 15.24/15.61 Z := X
% 15.24/15.61 T := Y
% 15.24/15.61 end
% 15.24/15.61 permutation0:
% 15.24/15.61 0 ==> 2
% 15.24/15.61 1 ==> 0
% 15.24/15.61 2 ==> 1
% 15.24/15.61 end
% 15.24/15.61
% 15.24/15.61 factor: (57359) {G1,W8,D2,L2,V3,M2} { ! coll( X, Y, Z ), coll( Z, X, Z )
% 15.24/15.61 }.
% 15.24/15.61 parent0[0, 1]: (206) {G1,W12,D2,L3,V4,M3} R(2,0) { ! coll( X, Y, Z ), !
% 15.24/15.61 coll( X, Y, T ), coll( Z, X, T ) }.
% 15.24/15.61 substitution0:
% 15.24/15.61 X := X
% 15.24/15.61 Y := Y
% 15.24/15.61 Z := Z
% 15.24/15.61 T := Z
% 15.24/15.61 end
% 15.24/15.61
% 15.24/15.61 subsumption: (217) {G2,W8,D2,L2,V3,M2} F(206) { ! coll( X, Y, Z ), coll( Z
% 15.24/15.61 , X, Z ) }.
% 15.24/15.61 parent0: (57359) {G1,W8,D2,L2,V3,M2} { ! coll( X, Y, Z ), coll( Z, X, Z )
% 15.24/15.61 }.
% 15.24/15.61 substitution0:
% 15.24/15.61 X := X
% 15.24/15.61 Y := Y
% 15.24/15.61 Z := Z
% 15.24/15.61 end
% 15.24/15.61 permutation0:
% 15.24/15.61 0 ==> 0
% 15.24/15.61 1 ==> 1
% 15.24/15.61 end
% 15.24/15.61
% 15.24/15.61 resolution: (57360) {G1,W15,D2,L3,V6,M3} { ! perp( Z, T, U, W ), para( X,
% 15.24/15.61 Y, U, W ), ! perp( Z, T, X, Y ) }.
% 15.24/15.61 parent0[0]: (8) {G0,W15,D2,L3,V6,M3} I { ! perp( X, Y, U, W ), ! perp( U, W
% 15.24/15.61 , Z, T ), para( X, Y, Z, T ) }.
% 15.24/15.61 parent1[1]: (7) {G0,W10,D2,L2,V4,M2} I { ! perp( X, Y, Z, T ), perp( Z, T,
% 15.24/15.61 X, Y ) }.
% 15.24/15.61 substitution0:
% 15.24/15.61 X := X
% 15.24/15.61 Y := Y
% 15.24/15.61 Z := U
% 15.24/15.61 T := W
% 15.24/15.61 U := Z
% 15.24/15.61 W := T
% 15.24/15.61 end
% 15.24/15.61 substitution1:
% 15.24/15.61 X := Z
% 15.24/15.61 Y := T
% 15.24/15.61 Z := X
% 15.24/15.61 T := Y
% 15.24/15.61 end
% 15.24/15.61
% 15.24/15.61 subsumption: (295) {G1,W15,D2,L3,V6,M3} R(8,7) { ! perp( X, Y, Z, T ), para
% 15.24/15.61 ( U, W, Z, T ), ! perp( X, Y, U, W ) }.
% 15.24/15.61 parent0: (57360) {G1,W15,D2,L3,V6,M3} { ! perp( Z, T, U, W ), para( X, Y,
% 15.24/15.61 U, W ), ! perp( Z, T, X, Y ) }.
% 15.24/15.61 substitution0:
% 15.24/15.61 X := U
% 15.24/15.61 Y := W
% 15.24/15.61 Z := X
% 15.24/15.61 T := Y
% 15.24/15.61 U := Z
% 15.24/15.61 W := T
% 15.24/15.61 end
% 15.24/15.61 permutation0:
% 15.24/15.61 0 ==> 0
% 15.24/15.61 1 ==> 1
% 15.24/15.61 2 ==> 2
% 15.24/15.61 end
% 15.24/15.61
% 15.24/15.61 resolution: (57365) {G1,W15,D2,L3,V6,M3} { ! perp( X, Y, Z, T ), para( X,
% 15.24/15.61 Y, U, W ), ! perp( U, W, Z, T ) }.
% 15.24/15.61 parent0[1]: (8) {G0,W15,D2,L3,V6,M3} I { ! perp( X, Y, U, W ), ! perp( U, W
% 15.24/15.61 , Z, T ), para( X, Y, Z, T ) }.
% 15.24/15.61 parent1[1]: (7) {G0,W10,D2,L2,V4,M2} I { ! perp( X, Y, Z, T ), perp( Z, T,
% 15.24/15.61 X, Y ) }.
% 15.24/15.61 substitution0:
% 15.24/15.61 X := X
% 15.24/15.61 Y := Y
% 15.24/15.61 Z := U
% 15.24/15.61 T := W
% 15.24/15.61 U := Z
% 15.24/15.61 W := T
% 15.24/15.61 end
% 15.24/15.61 substitution1:
% 15.24/15.61 X := U
% 15.24/15.61 Y := W
% 15.24/15.61 Z := Z
% 15.24/15.61 T := T
% 15.24/15.61 end
% 15.24/15.61
% 15.24/15.61 subsumption: (296) {G1,W15,D2,L3,V6,M3} R(8,7) { ! perp( X, Y, Z, T ), para
% 15.24/15.61 ( X, Y, U, W ), ! perp( U, W, Z, T ) }.
% 15.24/15.61 parent0: (57365) {G1,W15,D2,L3,V6,M3} { ! perp( X, Y, Z, T ), para( X, Y,
% 15.24/15.61 U, W ), ! perp( U, W, Z, T ) }.
% 15.24/15.61 substitution0:
% 15.24/15.61 X := X
% 15.24/15.61 Y := Y
% 15.24/15.61 Z := Z
% 15.24/15.61 T := T
% 15.24/15.61 U := U
% 15.24/15.61 W := W
% 15.24/15.61 end
% 15.24/15.61 permutation0:
% 15.24/15.61 0 ==> 0
% 15.24/15.61 1 ==> 1
% 15.24/15.61 2 ==> 2
% 15.24/15.61 end
% 15.24/15.61
% 15.24/15.61 factor: (57368) {G1,W10,D2,L2,V4,M2} { ! perp( X, Y, Z, T ), para( X, Y, X
% 15.24/15.61 , Y ) }.
% 15.24/15.61 parent0[0, 2]: (296) {G1,W15,D2,L3,V6,M3} R(8,7) { ! perp( X, Y, Z, T ),
% 15.24/15.61 para( X, Y, U, W ), ! perp( U, W, Z, T ) }.
% 15.24/15.61 substitution0:
% 15.24/15.61 X := X
% 15.24/15.61 Y := Y
% 15.24/15.61 Z := Z
% 15.24/15.61 T := T
% 15.24/15.61 U := X
% 15.24/15.61 W := Y
% 15.24/15.61 end
% 15.24/15.61
% 15.24/15.61 subsumption: (304) {G2,W10,D2,L2,V4,M2} F(296) { ! perp( X, Y, Z, T ), para
% 15.24/15.61 ( X, Y, X, Y ) }.
% 15.24/15.61 parent0: (57368) {G1,W10,D2,L2,V4,M2} { ! perp( X, Y, Z, T ), para( X, Y,
% 15.24/15.61 X, Y ) }.
% 15.24/15.61 substitution0:
% 15.24/15.61 X := X
% 15.24/15.61 Y := Y
% 15.24/15.61 Z := Z
% 15.24/15.61 T := T
% 15.24/15.61 end
% 15.24/15.61 permutation0:
% 15.24/15.61 0 ==> 0
% 15.24/15.61 1 ==> 1
% 15.24/15.61 end
% 15.24/15.61
% 15.24/15.61 resolution: (57369) {G1,W5,D2,L1,V0,M1} { ! para( skol22, skol20, skol24,
% 15.24/15.61 skol23 ) }.
% 15.24/15.61 parent0[0]: (127) {G0,W5,D2,L1,V0,M1} I { ! para( skol22, skol20, skol23,
% 15.24/15.61 skol24 ) }.
% 15.24/15.61 parent1[1]: (3) {G0,W10,D2,L2,V4,M2} I { ! para( X, Y, Z, T ), para( X, Y,
% 15.24/15.61 T, Z ) }.
% 15.24/15.61 substitution0:
% 15.24/15.61 end
% 15.24/15.61 substitution1:
% 15.24/15.61 X := skol22
% 15.24/15.61 Y := skol20
% 15.24/15.61 Z := skol24
% 15.24/15.61 T := skol23
% 15.24/15.61 end
% 15.24/15.61
% 15.24/15.61 subsumption: (330) {G1,W5,D2,L1,V0,M1} R(127,3) { ! para( skol22, skol20,
% 15.24/15.61 skol24, skol23 ) }.
% 15.24/15.61 parent0: (57369) {G1,W5,D2,L1,V0,M1} { ! para( skol22, skol20, skol24,
% 15.24/15.61 skol23 ) }.
% 15.24/15.61 substitution0:
% 15.24/15.61 end
% 15.24/15.61 permutation0:
% 15.24/15.61 0 ==> 0
% 15.24/15.61 end
% 15.24/15.61
% 15.24/15.61 resolution: (57370) {G1,W5,D2,L1,V0,M1} { perp( skol26, skol27, skol22,
% 15.24/15.61 skol29 ) }.
% 15.24/15.61 parent0[0]: (7) {G0,W10,D2,L2,V4,M2} I { ! perp( X, Y, Z, T ), perp( Z, T,
% 15.24/15.61 X, Y ) }.
% 15.24/15.61 parent1[0]: (121) {G0,W5,D2,L1,V0,M1} I { perp( skol22, skol29, skol26,
% 15.24/15.61 skol27 ) }.
% 15.24/15.61 substitution0:
% 15.24/15.61 X := skol22
% 15.24/15.61 Y := skol29
% 15.24/15.61 Z := skol26
% 15.24/15.61 T := skol27
% 15.24/15.61 end
% 15.24/15.61 substitution1:
% 15.24/15.61 end
% 15.24/15.61
% 15.24/15.61 subsumption: (353) {G1,W5,D2,L1,V0,M1} R(121,7) { perp( skol26, skol27,
% 15.24/15.61 skol22, skol29 ) }.
% 15.24/15.61 parent0: (57370) {G1,W5,D2,L1,V0,M1} { perp( skol26, skol27, skol22,
% 15.24/15.61 skol29 ) }.
% 15.24/15.61 substitution0:
% 15.24/15.61 end
% 15.24/15.61 permutation0:
% 15.24/15.61 0 ==> 0
% 15.24/15.61 end
% 15.24/15.61
% 15.24/15.61 resolution: (57371) {G1,W5,D2,L1,V0,M1} { perp( skol26, skol27, skol29,
% 15.24/15.61 skol22 ) }.
% 15.24/15.61 parent0[0]: (6) {G0,W10,D2,L2,V4,M2} I { ! perp( X, Y, Z, T ), perp( X, Y,
% 15.24/15.61 T, Z ) }.
% 15.24/15.61 parent1[0]: (353) {G1,W5,D2,L1,V0,M1} R(121,7) { perp( skol26, skol27,
% 15.24/15.61 skol22, skol29 ) }.
% 15.24/15.61 substitution0:
% 15.24/15.61 X := skol26
% 15.24/15.61 Y := skol27
% 15.24/15.61 Z := skol22
% 15.24/15.61 T := skol29
% 15.24/15.61 end
% 15.24/15.61 substitution1:
% 15.24/15.61 end
% 15.24/15.61
% 15.24/15.61 subsumption: (358) {G2,W5,D2,L1,V0,M1} R(353,6) { perp( skol26, skol27,
% 15.24/15.61 skol29, skol22 ) }.
% 15.24/15.61 parent0: (57371) {G1,W5,D2,L1,V0,M1} { perp( skol26, skol27, skol29,
% 15.24/15.61 skol22 ) }.
% 15.24/15.61 substitution0:
% 15.24/15.61 end
% 15.24/15.61 permutation0:
% 15.24/15.61 0 ==> 0
% 15.24/15.61 end
% 15.24/15.61
% 15.24/15.61 resolution: (57372) {G1,W5,D2,L1,V0,M1} { perp( skol29, skol22, skol26,
% 15.24/15.61 skol27 ) }.
% 15.24/15.61 parent0[0]: (7) {G0,W10,D2,L2,V4,M2} I { ! perp( X, Y, Z, T ), perp( Z, T,
% 15.24/15.61 X, Y ) }.
% 15.24/15.61 parent1[0]: (358) {G2,W5,D2,L1,V0,M1} R(353,6) { perp( skol26, skol27,
% 15.24/15.61 skol29, skol22 ) }.
% 15.24/15.61 substitution0:
% 15.24/15.61 X := skol26
% 15.24/15.61 Y := skol27
% 15.24/15.61 Z := skol29
% 15.24/15.61 T := skol22
% 15.24/15.61 end
% 15.24/15.61 substitution1:
% 15.24/15.61 end
% 15.24/15.61
% 15.24/15.61 subsumption: (362) {G3,W5,D2,L1,V0,M1} R(358,7) { perp( skol29, skol22,
% 15.24/15.61 skol26, skol27 ) }.
% 15.24/15.61 parent0: (57372) {G1,W5,D2,L1,V0,M1} { perp( skol29, skol22, skol26,
% 15.24/15.61 skol27 ) }.
% 15.24/15.61 substitution0:
% 15.24/15.61 end
% 15.24/15.61 permutation0:
% 15.24/15.61 0 ==> 0
% 15.24/15.61 end
% 15.24/15.61
% 15.24/15.61 resolution: (57373) {G1,W5,D2,L1,V0,M1} { perp( skol29, skol22, skol27,
% 15.24/15.61 skol26 ) }.
% 15.24/15.61 parent0[0]: (6) {G0,W10,D2,L2,V4,M2} I { ! perp( X, Y, Z, T ), perp( X, Y,
% 15.24/15.61 T, Z ) }.
% 15.24/15.61 parent1[0]: (362) {G3,W5,D2,L1,V0,M1} R(358,7) { perp( skol29, skol22,
% 15.24/15.61 skol26, skol27 ) }.
% 15.24/15.61 substitution0:
% 15.24/15.61 X := skol29
% 15.24/15.61 Y := skol22
% 15.24/15.61 Z := skol26
% 15.24/15.61 T := skol27
% 15.24/15.61 end
% 15.24/15.61 substitution1:
% 15.24/15.61 end
% 15.24/15.61
% 15.24/15.61 subsumption: (366) {G4,W5,D2,L1,V0,M1} R(362,6) { perp( skol29, skol22,
% 15.24/15.61 skol27, skol26 ) }.
% 15.24/15.61 parent0: (57373) {G1,W5,D2,L1,V0,M1} { perp( skol29, skol22, skol27,
% 15.24/15.61 skol26 ) }.
% 15.24/15.61 substitution0:
% 15.24/15.61 end
% 15.24/15.61 permutation0:
% 15.24/15.61 0 ==> 0
% 15.24/15.61 end
% 15.24/15.61
% 15.24/15.61 resolution: (57375) {G1,W10,D2,L2,V4,M2} { cyclic( X, Y, T, Z ), ! cyclic
% 15.24/15.61 ( X, Z, Y, T ) }.
% 15.24/15.61 parent0[0]: (13) {G0,W10,D2,L2,V4,M2} I { ! cyclic( X, Y, Z, T ), cyclic( X
% 15.24/15.61 , Y, T, Z ) }.
% 15.24/15.61 parent1[1]: (14) {G0,W10,D2,L2,V4,M2} I { ! cyclic( X, Y, Z, T ), cyclic( X
% 15.24/15.61 , Z, Y, T ) }.
% 15.24/15.61 substitution0:
% 15.24/15.61 X := X
% 15.24/15.61 Y := Y
% 15.24/15.61 Z := Z
% 15.24/15.61 T := T
% 15.24/15.61 end
% 15.24/15.61 substitution1:
% 15.24/15.61 X := X
% 15.24/15.61 Y := Z
% 15.24/15.61 Z := Y
% 15.24/15.61 T := T
% 15.24/15.61 end
% 15.24/15.61
% 15.24/15.61 subsumption: (395) {G1,W10,D2,L2,V4,M2} R(14,13) { ! cyclic( X, Y, Z, T ),
% 15.24/15.61 cyclic( X, Z, T, Y ) }.
% 15.24/15.61 parent0: (57375) {G1,W10,D2,L2,V4,M2} { cyclic( X, Y, T, Z ), ! cyclic( X
% 15.24/15.61 , Z, Y, T ) }.
% 15.24/15.61 substitution0:
% 15.24/15.61 X := X
% 15.24/15.61 Y := Z
% 15.24/15.61 Z := Y
% 15.24/15.61 T := T
% 15.24/15.61 end
% 15.24/15.61 permutation0:
% 15.24/15.61 0 ==> 1
% 15.24/15.61 1 ==> 0
% 15.24/15.61 end
% 15.24/15.61
% 15.24/15.61 resolution: (57376) {G1,W10,D2,L2,V4,M2} { cyclic( Y, X, Z, T ), ! cyclic
% 15.24/15.61 ( X, Z, Y, T ) }.
% 15.24/15.61 parent0[0]: (15) {G0,W10,D2,L2,V4,M2} I { ! cyclic( X, Y, Z, T ), cyclic( Y
% 15.24/15.61 , X, Z, T ) }.
% 15.24/15.61 parent1[1]: (14) {G0,W10,D2,L2,V4,M2} I { ! cyclic( X, Y, Z, T ), cyclic( X
% 15.24/15.61 , Z, Y, T ) }.
% 15.24/15.61 substitution0:
% 15.24/15.61 X := X
% 15.24/15.61 Y := Y
% 15.24/15.61 Z := Z
% 15.24/15.61 T := T
% 15.24/15.61 end
% 15.24/15.61 substitution1:
% 15.24/15.61 X := X
% 15.24/15.61 Y := Z
% 15.24/15.61 Z := Y
% 15.24/15.61 T := T
% 15.24/15.61 end
% 15.24/15.61
% 15.24/15.61 subsumption: (411) {G1,W10,D2,L2,V4,M2} R(15,14) { cyclic( X, Y, Z, T ), !
% 15.24/15.61 cyclic( Y, Z, X, T ) }.
% 15.24/15.61 parent0: (57376) {G1,W10,D2,L2,V4,M2} { cyclic( Y, X, Z, T ), ! cyclic( X
% 15.24/15.61 , Z, Y, T ) }.
% 15.24/15.61 substitution0:
% 15.24/15.61 X := Y
% 15.24/15.61 Y := X
% 15.24/15.61 Z := Z
% 15.24/15.61 T := T
% 15.24/15.61 end
% 15.24/15.61 permutation0:
% 15.24/15.61 0 ==> 0
% 15.24/15.61 1 ==> 1
% 15.24/15.61 end
% 15.24/15.61
% 15.24/15.61 resolution: (57377) {G1,W10,D2,L2,V4,M2} { cyclic( Y, X, Z, T ), ! cyclic
% 15.24/15.61 ( X, Y, T, Z ) }.
% 15.24/15.61 parent0[0]: (15) {G0,W10,D2,L2,V4,M2} I { ! cyclic( X, Y, Z, T ), cyclic( Y
% 15.24/15.61 , X, Z, T ) }.
% 15.24/15.61 parent1[1]: (13) {G0,W10,D2,L2,V4,M2} I { ! cyclic( X, Y, Z, T ), cyclic( X
% 15.24/15.61 , Y, T, Z ) }.
% 15.24/15.61 substitution0:
% 15.24/15.61 X := X
% 15.24/15.61 Y := Y
% 15.24/15.61 Z := Z
% 15.24/15.61 T := T
% 15.24/15.61 end
% 15.24/15.61 substitution1:
% 15.24/15.61 X := X
% 15.24/15.61 Y := Y
% 15.24/15.61 Z := T
% 15.24/15.61 T := Z
% 15.24/15.61 end
% 15.24/15.61
% 15.24/15.61 subsumption: (413) {G1,W10,D2,L2,V4,M2} R(15,13) { cyclic( X, Y, Z, T ), !
% 15.24/15.61 cyclic( Y, X, T, Z ) }.
% 15.24/15.61 parent0: (57377) {G1,W10,D2,L2,V4,M2} { cyclic( Y, X, Z, T ), ! cyclic( X
% 15.24/15.61 , Y, T, Z ) }.
% 15.24/15.61 substitution0:
% 15.24/15.61 X := Y
% 15.24/15.61 Y := X
% 15.24/15.61 Z := Z
% 15.24/15.61 T := T
% 15.24/15.61 end
% 15.24/15.61 permutation0:
% 15.24/15.61 0 ==> 0
% 15.24/15.61 1 ==> 1
% 15.24/15.61 end
% 15.24/15.61
% 15.24/15.61 resolution: (57381) {G1,W15,D2,L3,V5,M3} { cyclic( Y, X, Z, T ), ! cyclic
% 15.24/15.61 ( U, X, Y, Z ), ! cyclic( U, X, Y, T ) }.
% 15.24/15.61 parent0[0]: (15) {G0,W10,D2,L2,V4,M2} I { ! cyclic( X, Y, Z, T ), cyclic( Y
% 15.24/15.61 , X, Z, T ) }.
% 15.24/15.61 parent1[2]: (16) {G0,W15,D2,L3,V5,M3} I { ! cyclic( U, X, Y, Z ), ! cyclic
% 15.24/15.61 ( U, X, Y, T ), cyclic( X, Y, Z, T ) }.
% 15.24/15.61 substitution0:
% 15.24/15.61 X := X
% 15.24/15.61 Y := Y
% 15.24/15.61 Z := Z
% 15.24/15.61 T := T
% 15.24/15.61 end
% 15.24/15.61 substitution1:
% 15.24/15.61 X := X
% 15.24/15.61 Y := Y
% 15.24/15.61 Z := Z
% 15.24/15.61 T := T
% 15.24/15.61 U := U
% 15.24/15.61 end
% 15.24/15.61
% 15.24/15.61 subsumption: (439) {G1,W15,D2,L3,V5,M3} R(16,15) { ! cyclic( X, Y, Z, T ),
% 15.24/15.61 ! cyclic( X, Y, Z, U ), cyclic( Z, Y, T, U ) }.
% 15.24/15.61 parent0: (57381) {G1,W15,D2,L3,V5,M3} { cyclic( Y, X, Z, T ), ! cyclic( U
% 15.24/15.61 , X, Y, Z ), ! cyclic( U, X, Y, T ) }.
% 15.24/15.61 substitution0:
% 15.24/15.61 X := Y
% 15.24/15.61 Y := Z
% 15.24/15.61 Z := T
% 15.24/15.61 T := U
% 15.24/15.61 U := X
% 15.24/15.61 end
% 15.24/15.61 permutation0:
% 15.24/15.61 0 ==> 2
% 15.24/15.61 1 ==> 0
% 15.24/15.61 2 ==> 1
% 15.24/15.61 end
% 15.24/15.61
% 15.24/15.61 resolution: (57384) {G1,W15,D2,L3,V5,M3} { ! cyclic( X, Y, Z, T ), cyclic
% 15.24/15.61 ( Y, Z, T, U ), ! cyclic( X, Y, U, Z ) }.
% 15.24/15.61 parent0[1]: (16) {G0,W15,D2,L3,V5,M3} I { ! cyclic( U, X, Y, Z ), ! cyclic
% 15.24/15.61 ( U, X, Y, T ), cyclic( X, Y, Z, T ) }.
% 15.24/15.61 parent1[1]: (13) {G0,W10,D2,L2,V4,M2} I { ! cyclic( X, Y, Z, T ), cyclic( X
% 15.24/15.61 , Y, T, Z ) }.
% 15.24/15.61 substitution0:
% 15.24/15.61 X := Y
% 15.24/15.61 Y := Z
% 15.24/15.61 Z := T
% 15.24/15.61 T := U
% 15.24/15.61 U := X
% 15.24/15.61 end
% 15.24/15.61 substitution1:
% 15.24/15.61 X := X
% 15.24/15.61 Y := Y
% 15.24/15.61 Z := U
% 15.24/15.61 T := Z
% 15.24/15.61 end
% 15.24/15.61
% 15.24/15.61 subsumption: (444) {G1,W15,D2,L3,V5,M3} R(16,13) { ! cyclic( X, Y, Z, T ),
% 15.24/15.61 cyclic( Y, Z, T, U ), ! cyclic( X, Y, U, Z ) }.
% 15.24/15.61 parent0: (57384) {G1,W15,D2,L3,V5,M3} { ! cyclic( X, Y, Z, T ), cyclic( Y
% 15.24/15.61 , Z, T, U ), ! cyclic( X, Y, U, Z ) }.
% 15.24/15.61 substitution0:
% 15.24/15.61 X := X
% 15.24/15.61 Y := Y
% 15.24/15.61 Z := Z
% 15.24/15.61 T := T
% 15.24/15.61 U := U
% 15.24/15.61 end
% 15.24/15.61 permutation0:
% 15.24/15.61 0 ==> 0
% 15.24/15.61 1 ==> 1
% 15.24/15.61 2 ==> 2
% 15.24/15.61 end
% 15.24/15.61
% 15.24/15.61 factor: (57386) {G1,W10,D2,L2,V4,M2} { ! cyclic( X, Y, Z, T ), cyclic( Z,
% 15.24/15.61 Y, T, T ) }.
% 15.24/15.61 parent0[0, 1]: (439) {G1,W15,D2,L3,V5,M3} R(16,15) { ! cyclic( X, Y, Z, T )
% 15.24/15.61 , ! cyclic( X, Y, Z, U ), cyclic( Z, Y, T, U ) }.
% 15.24/15.61 substitution0:
% 15.24/15.61 X := X
% 15.24/15.61 Y := Y
% 15.24/15.61 Z := Z
% 15.24/15.61 T := T
% 15.24/15.61 U := T
% 15.24/15.61 end
% 15.24/15.61
% 15.24/15.61 subsumption: (448) {G2,W10,D2,L2,V4,M2} F(439) { ! cyclic( X, Y, Z, T ),
% 15.24/15.61 cyclic( Z, Y, T, T ) }.
% 15.24/15.61 parent0: (57386) {G1,W10,D2,L2,V4,M2} { ! cyclic( X, Y, Z, T ), cyclic( Z
% 15.24/15.61 , Y, T, T ) }.
% 15.24/15.61 substitution0:
% 15.24/15.61 X := X
% 15.24/15.61 Y := Y
% 15.24/15.61 Z := Z
% 15.24/15.61 T := T
% 15.24/15.61 end
% 15.24/15.61 permutation0:
% 15.24/15.61 0 ==> 0
% 15.24/15.61 1 ==> 1
% 15.24/15.61 end
% 15.24/15.61
% 15.24/15.61 resolution: (57387) {G3,W4,D2,L1,V0,M1} { coll( skol29, skol22, skol29 )
% 15.24/15.61 }.
% 15.24/15.61 parent0[0]: (217) {G2,W8,D2,L2,V3,M2} F(206) { ! coll( X, Y, Z ), coll( Z,
% 15.24/15.61 X, Z ) }.
% 15.24/15.61 parent1[0]: (172) {G2,W4,D2,L1,V0,M1} R(1,166) { coll( skol22, skol23,
% 15.24/15.61 skol29 ) }.
% 15.24/15.61 substitution0:
% 15.24/15.61 X := skol22
% 15.24/15.61 Y := skol23
% 15.24/15.61 Z := skol29
% 15.24/15.61 end
% 15.24/15.61 substitution1:
% 15.24/15.61 end
% 15.24/15.61
% 15.24/15.61 subsumption: (532) {G3,W4,D2,L1,V0,M1} R(217,172) { coll( skol29, skol22,
% 15.24/15.61 skol29 ) }.
% 15.24/15.61 parent0: (57387) {G3,W4,D2,L1,V0,M1} { coll( skol29, skol22, skol29 ) }.
% 15.24/15.61 substitution0:
% 15.24/15.61 end
% 15.24/15.61 permutation0:
% 15.24/15.61 0 ==> 0
% 15.24/15.61 end
% 15.24/15.61
% 15.24/15.61 resolution: (57388) {G1,W12,D2,L3,V4,M3} { coll( Z, X, Z ), ! coll( Z, T,
% 15.24/15.61 X ), ! coll( Z, T, Y ) }.
% 15.24/15.61 parent0[0]: (217) {G2,W8,D2,L2,V3,M2} F(206) { ! coll( X, Y, Z ), coll( Z,
% 15.24/15.61 X, Z ) }.
% 15.24/15.61 parent1[2]: (2) {G0,W12,D2,L3,V4,M3} I { ! coll( X, T, Y ), ! coll( X, T, Z
% 15.24/15.61 ), coll( Y, Z, X ) }.
% 15.24/15.61 substitution0:
% 15.24/15.61 X := X
% 15.24/15.61 Y := Y
% 15.24/15.61 Z := Z
% 15.24/15.61 end
% 15.24/15.61 substitution1:
% 15.24/15.61 X := Z
% 15.24/15.61 Y := X
% 15.24/15.61 Z := Y
% 15.24/15.61 T := T
% 15.24/15.61 end
% 15.24/15.61
% 15.24/15.61 subsumption: (535) {G3,W12,D2,L3,V4,M3} R(217,2) { coll( X, Y, X ), ! coll
% 15.24/15.61 ( X, Z, Y ), ! coll( X, Z, T ) }.
% 15.24/15.61 parent0: (57388) {G1,W12,D2,L3,V4,M3} { coll( Z, X, Z ), ! coll( Z, T, X )
% 15.24/15.61 , ! coll( Z, T, Y ) }.
% 15.24/15.61 substitution0:
% 15.24/15.61 X := Y
% 15.24/15.61 Y := Y
% 15.24/15.61 Z := X
% 15.24/15.61 T := Z
% 15.24/15.61 end
% 15.24/15.61 permutation0:
% 15.24/15.61 0 ==> 0
% 15.24/15.61 1 ==> 1
% 15.24/15.61 2 ==> 1
% 15.24/15.61 end
% 15.24/15.61
% 15.24/15.61 factor: (57390) {G3,W8,D2,L2,V3,M2} { coll( X, Y, X ), ! coll( X, Z, Y )
% 15.24/15.61 }.
% 15.24/15.61 parent0[1, 2]: (535) {G3,W12,D2,L3,V4,M3} R(217,2) { coll( X, Y, X ), !
% 15.24/15.61 coll( X, Z, Y ), ! coll( X, Z, T ) }.
% 15.24/15.61 substitution0:
% 15.24/15.61 X := X
% 15.24/15.61 Y := Y
% 15.24/15.61 Z := Z
% 15.24/15.61 T := Y
% 15.24/15.61 end
% 15.24/15.61
% 15.24/15.61 subsumption: (553) {G4,W8,D2,L2,V3,M2} F(535) { coll( X, Y, X ), ! coll( X
% 15.24/15.61 , Z, Y ) }.
% 15.24/15.61 parent0: (57390) {G3,W8,D2,L2,V3,M2} { coll( X, Y, X ), ! coll( X, Z, Y )
% 15.24/15.61 }.
% 15.24/15.61 substitution0:
% 15.24/15.61 X := X
% 15.24/15.61 Y := Y
% 15.24/15.61 Z := Z
% 15.24/15.61 end
% 15.24/15.61 permutation0:
% 15.24/15.61 0 ==> 0
% 15.24/15.61 1 ==> 1
% 15.24/15.61 end
% 15.24/15.61
% 15.24/15.61 resolution: (57391) {G1,W14,D2,L2,V6,M2} { eqangle( Z, T, X, Y, Z, T, U, W
% 15.24/15.61 ), ! para( X, Y, U, W ) }.
% 15.24/15.61 parent0[0]: (18) {G0,W18,D2,L2,V8,M2} I { ! eqangle( X, Y, Z, T, U, W, V0,
% 15.24/15.61 V1 ), eqangle( Z, T, X, Y, V0, V1, U, W ) }.
% 15.24/15.61 parent1[1]: (39) {G0,W14,D2,L2,V6,M2} I { ! para( X, Y, Z, T ), eqangle( X
% 15.24/15.61 , Y, U, W, Z, T, U, W ) }.
% 15.24/15.61 substitution0:
% 15.24/15.61 X := X
% 15.24/15.61 Y := Y
% 15.24/15.61 Z := Z
% 15.24/15.61 T := T
% 15.24/15.61 U := U
% 15.24/15.61 W := W
% 15.24/15.61 V0 := Z
% 15.24/15.61 V1 := T
% 15.24/15.61 end
% 15.24/15.61 substitution1:
% 15.24/15.61 X := X
% 15.24/15.61 Y := Y
% 15.24/15.61 Z := U
% 15.24/15.61 T := W
% 15.24/15.61 U := Z
% 15.24/15.61 W := T
% 15.24/15.61 end
% 15.24/15.61
% 15.24/15.61 subsumption: (838) {G1,W14,D2,L2,V6,M2} R(39,18) { ! para( X, Y, Z, T ),
% 15.24/15.61 eqangle( U, W, X, Y, U, W, Z, T ) }.
% 15.24/15.61 parent0: (57391) {G1,W14,D2,L2,V6,M2} { eqangle( Z, T, X, Y, Z, T, U, W )
% 15.24/15.61 , ! para( X, Y, U, W ) }.
% 15.24/15.61 substitution0:
% 15.24/15.61 X := X
% 15.24/15.61 Y := Y
% 15.24/15.61 Z := U
% 15.24/15.61 T := W
% 15.24/15.61 U := Z
% 15.24/15.61 W := T
% 15.24/15.61 end
% 15.24/15.61 permutation0:
% 15.24/15.61 0 ==> 1
% 15.24/15.61 1 ==> 0
% 15.24/15.61 end
% 15.24/15.61
% 15.24/15.61 resolution: (57392) {G1,W4,D2,L1,V0,M1} { coll( skol29, skol29, skol22 )
% 15.24/15.61 }.
% 15.24/15.61 parent0[0]: (0) {G0,W8,D2,L2,V3,M2} I { ! coll( X, Y, Z ), coll( X, Z, Y )
% 15.24/15.61 }.
% 15.24/15.61 parent1[0]: (532) {G3,W4,D2,L1,V0,M1} R(217,172) { coll( skol29, skol22,
% 15.24/15.61 skol29 ) }.
% 15.24/15.61 substitution0:
% 15.24/15.61 X := skol29
% 15.24/15.61 Y := skol22
% 15.24/15.61 Z := skol29
% 15.24/15.61 end
% 15.24/15.61 substitution1:
% 15.24/15.61 end
% 15.24/15.61
% 15.24/15.61 subsumption: (899) {G4,W4,D2,L1,V0,M1} R(532,0) { coll( skol29, skol29,
% 15.24/15.61 skol22 ) }.
% 15.24/15.61 parent0: (57392) {G1,W4,D2,L1,V0,M1} { coll( skol29, skol29, skol22 ) }.
% 15.24/15.61 substitution0:
% 15.24/15.61 end
% 15.24/15.61 permutation0:
% 15.24/15.61 0 ==> 0
% 15.24/15.61 end
% 15.24/15.61
% 15.24/15.61 resolution: (57393) {G1,W14,D2,L2,V1,M2} { ! eqangle( skol29, X, skol29,
% 15.24/15.61 skol22, skol29, X, skol29, skol22 ), cyclic( X, skol22, skol29, skol29 )
% 15.24/15.61 }.
% 15.24/15.61 parent0[1]: (42) {G0,W18,D2,L3,V4,M3} I { ! eqangle( Z, X, Z, Y, T, X, T, Y
% 15.24/15.61 ), ! coll( Z, T, Y ), cyclic( X, Y, Z, T ) }.
% 15.24/15.61 parent1[0]: (899) {G4,W4,D2,L1,V0,M1} R(532,0) { coll( skol29, skol29,
% 15.24/15.61 skol22 ) }.
% 15.24/15.61 substitution0:
% 15.24/15.61 X := X
% 15.24/15.61 Y := skol22
% 15.24/15.61 Z := skol29
% 15.24/15.61 T := skol29
% 15.24/15.61 end
% 15.24/15.61 substitution1:
% 15.24/15.61 end
% 15.24/15.61
% 15.24/15.61 subsumption: (903) {G5,W14,D2,L2,V1,M2} R(42,899) { ! eqangle( skol29, X,
% 15.24/15.61 skol29, skol22, skol29, X, skol29, skol22 ), cyclic( X, skol22, skol29,
% 15.24/15.61 skol29 ) }.
% 15.24/15.61 parent0: (57393) {G1,W14,D2,L2,V1,M2} { ! eqangle( skol29, X, skol29,
% 15.24/15.61 skol22, skol29, X, skol29, skol22 ), cyclic( X, skol22, skol29, skol29 )
% 15.24/15.61 }.
% 15.24/15.61 substitution0:
% 15.24/15.61 X := X
% 15.24/15.61 end
% 15.24/15.61 permutation0:
% 15.24/15.61 0 ==> 0
% 15.24/15.61 1 ==> 1
% 15.24/15.61 end
% 15.24/15.61
% 15.24/15.61 resolution: (57394) {G1,W25,D2,L5,V4,M5} { ! cyclic( X, Y, Z, X ), !
% 15.24/15.61 cyclic( X, Y, Z, Y ), ! cyclic( X, Y, Z, T ), cong( X, Y, X, Y ), !
% 15.24/15.61 cyclic( X, Y, Z, T ) }.
% 15.24/15.61 parent0[3]: (43) {G0,W29,D2,L5,V6,M5} I { ! cyclic( X, Y, U, Z ), ! cyclic
% 15.24/15.61 ( X, Y, U, T ), ! cyclic( X, Y, U, W ), ! eqangle( U, X, U, Y, W, Z, W, T
% 15.24/15.61 ), cong( X, Y, Z, T ) }.
% 15.24/15.61 parent1[1]: (40) {G0,W14,D2,L2,V4,M2} I { ! cyclic( X, Y, Z, T ), eqangle(
% 15.24/15.61 Z, X, Z, Y, T, X, T, Y ) }.
% 15.24/15.61 substitution0:
% 15.24/15.61 X := X
% 15.24/15.61 Y := Y
% 15.24/15.61 Z := X
% 15.24/15.61 T := Y
% 15.24/15.61 U := Z
% 15.24/15.61 W := T
% 15.24/15.61 end
% 15.24/15.61 substitution1:
% 15.24/15.61 X := X
% 15.24/15.61 Y := Y
% 15.24/15.61 Z := Z
% 15.24/15.61 T := T
% 15.24/15.61 end
% 15.24/15.61
% 15.24/15.61 factor: (57396) {G1,W20,D2,L4,V3,M4} { ! cyclic( X, Y, Z, X ), ! cyclic( X
% 15.24/15.61 , Y, Z, Y ), cong( X, Y, X, Y ), ! cyclic( X, Y, Z, X ) }.
% 15.24/15.61 parent0[0, 2]: (57394) {G1,W25,D2,L5,V4,M5} { ! cyclic( X, Y, Z, X ), !
% 15.24/15.61 cyclic( X, Y, Z, Y ), ! cyclic( X, Y, Z, T ), cong( X, Y, X, Y ), !
% 15.24/15.61 cyclic( X, Y, Z, T ) }.
% 15.24/15.61 substitution0:
% 15.24/15.61 X := X
% 15.24/15.61 Y := Y
% 15.24/15.61 Z := Z
% 15.24/15.61 T := X
% 15.24/15.61 end
% 15.24/15.61
% 15.24/15.61 subsumption: (1070) {G1,W20,D2,L4,V4,M4} R(43,40);f { ! cyclic( X, Y, Z, X
% 15.24/15.61 ), ! cyclic( X, Y, Z, Y ), ! cyclic( X, Y, Z, T ), cong( X, Y, X, Y )
% 15.24/15.61 }.
% 15.24/15.61 parent0: (57396) {G1,W20,D2,L4,V3,M4} { ! cyclic( X, Y, Z, X ), ! cyclic(
% 15.24/15.61 X, Y, Z, Y ), cong( X, Y, X, Y ), ! cyclic( X, Y, Z, X ) }.
% 15.24/15.61 substitution0:
% 15.24/15.61 X := X
% 15.24/15.61 Y := Y
% 15.24/15.61 Z := Z
% 15.24/15.61 end
% 15.24/15.61 permutation0:
% 15.24/15.61 0 ==> 0
% 15.24/15.61 1 ==> 1
% 15.24/15.61 2 ==> 3
% 15.24/15.61 3 ==> 0
% 15.24/15.61 end
% 15.24/15.61
% 15.24/15.61 factor: (57401) {G1,W15,D2,L3,V3,M3} { ! cyclic( X, Y, Z, X ), ! cyclic( X
% 15.24/15.61 , Y, Z, Y ), cong( X, Y, X, Y ) }.
% 15.24/15.61 parent0[0, 2]: (1070) {G1,W20,D2,L4,V4,M4} R(43,40);f { ! cyclic( X, Y, Z,
% 15.24/15.61 X ), ! cyclic( X, Y, Z, Y ), ! cyclic( X, Y, Z, T ), cong( X, Y, X, Y )
% 15.24/15.61 }.
% 15.24/15.61 substitution0:
% 15.24/15.61 X := X
% 15.24/15.61 Y := Y
% 15.24/15.61 Z := Z
% 15.24/15.61 T := X
% 15.24/15.61 end
% 15.24/15.61
% 15.24/15.61 subsumption: (1102) {G2,W15,D2,L3,V3,M3} F(1070) { ! cyclic( X, Y, Z, X ),
% 15.24/15.61 ! cyclic( X, Y, Z, Y ), cong( X, Y, X, Y ) }.
% 15.24/15.61 parent0: (57401) {G1,W15,D2,L3,V3,M3} { ! cyclic( X, Y, Z, X ), ! cyclic(
% 15.24/15.61 X, Y, Z, Y ), cong( X, Y, X, Y ) }.
% 15.24/15.61 substitution0:
% 15.24/15.61 X := X
% 15.24/15.61 Y := Y
% 15.24/15.61 Z := Z
% 15.24/15.61 end
% 15.24/15.61 permutation0:
% 15.24/15.61 0 ==> 0
% 15.24/15.61 1 ==> 1
% 15.24/15.61 2 ==> 2
% 15.24/15.61 end
% 15.24/15.61
% 15.24/15.61 resolution: (57403) {G1,W8,D2,L2,V1,M2} { ! midp( skol22, X, skol24 ), !
% 15.24/15.61 midp( skol20, X, skol23 ) }.
% 15.24/15.61 parent0[0]: (330) {G1,W5,D2,L1,V0,M1} R(127,3) { ! para( skol22, skol20,
% 15.24/15.61 skol24, skol23 ) }.
% 15.24/15.61 parent1[2]: (44) {G0,W13,D2,L3,V5,M3} I { ! midp( Z, U, X ), ! midp( T, U,
% 15.24/15.61 Y ), para( Z, T, X, Y ) }.
% 15.24/15.61 substitution0:
% 15.24/15.61 end
% 15.24/15.61 substitution1:
% 15.24/15.61 X := skol24
% 15.24/15.61 Y := skol23
% 15.24/15.61 Z := skol22
% 15.24/15.61 T := skol20
% 15.24/15.61 U := X
% 15.24/15.61 end
% 15.24/15.61
% 15.24/15.61 subsumption: (1116) {G2,W8,D2,L2,V1,M2} R(44,330) { ! midp( skol22, X,
% 15.24/15.61 skol24 ), ! midp( skol20, X, skol23 ) }.
% 15.24/15.61 parent0: (57403) {G1,W8,D2,L2,V1,M2} { ! midp( skol22, X, skol24 ), ! midp
% 15.24/15.61 ( skol20, X, skol23 ) }.
% 15.24/15.61 substitution0:
% 15.24/15.61 X := X
% 15.24/15.61 end
% 15.24/15.61 permutation0:
% 15.24/15.61 0 ==> 0
% 15.24/15.61 1 ==> 1
% 15.24/15.61 end
% 15.24/15.61
% 15.24/15.61 resolution: (57405) {G1,W8,D2,L2,V3,M2} { coll( Y, X, X ), ! coll( X, Z, Y
% 15.24/15.61 ) }.
% 15.24/15.61 parent0[0]: (1) {G0,W8,D2,L2,V3,M2} I { ! coll( X, Y, Z ), coll( Y, X, Z )
% 15.24/15.61 }.
% 15.24/15.61 parent1[0]: (553) {G4,W8,D2,L2,V3,M2} F(535) { coll( X, Y, X ), ! coll( X,
% 15.24/15.61 Z, Y ) }.
% 15.24/15.61 substitution0:
% 15.24/15.61 X := X
% 15.24/15.61 Y := Y
% 15.24/15.61 Z := X
% 15.24/15.61 end
% 15.24/15.61 substitution1:
% 15.24/15.61 X := X
% 15.24/15.61 Y := Y
% 15.24/15.61 Z := Z
% 15.24/15.61 end
% 15.24/15.61
% 15.24/15.61 subsumption: (1807) {G5,W8,D2,L2,V3,M2} R(553,1) { ! coll( X, Y, Z ), coll
% 15.24/15.61 ( Z, X, X ) }.
% 15.24/15.61 parent0: (57405) {G1,W8,D2,L2,V3,M2} { coll( Y, X, X ), ! coll( X, Z, Y )
% 15.24/15.61 }.
% 15.24/15.61 substitution0:
% 15.24/15.61 X := X
% 15.24/15.61 Y := Z
% 15.24/15.61 Z := Y
% 15.24/15.61 end
% 15.24/15.61 permutation0:
% 15.24/15.61 0 ==> 1
% 15.24/15.61 1 ==> 0
% 15.24/15.61 end
% 15.24/15.61
% 15.24/15.61 resolution: (57406) {G1,W8,D2,L2,V3,M2} { coll( Z, X, X ), ! coll( Y, X, Z
% 15.24/15.61 ) }.
% 15.24/15.61 parent0[0]: (1807) {G5,W8,D2,L2,V3,M2} R(553,1) { ! coll( X, Y, Z ), coll(
% 15.24/15.61 Z, X, X ) }.
% 15.24/15.61 parent1[1]: (1) {G0,W8,D2,L2,V3,M2} I { ! coll( X, Y, Z ), coll( Y, X, Z )
% 15.24/15.61 }.
% 15.24/15.61 substitution0:
% 15.24/15.61 X := X
% 15.24/15.61 Y := Y
% 15.24/15.61 Z := Z
% 15.24/15.61 end
% 15.24/15.61 substitution1:
% 15.24/15.61 X := Y
% 15.24/15.61 Y := X
% 15.24/15.61 Z := Z
% 15.24/15.61 end
% 15.24/15.61
% 15.24/15.61 subsumption: (1813) {G6,W8,D2,L2,V3,M2} R(1807,1) { coll( X, Y, Y ), ! coll
% 15.24/15.61 ( Z, Y, X ) }.
% 15.24/15.61 parent0: (57406) {G1,W8,D2,L2,V3,M2} { coll( Z, X, X ), ! coll( Y, X, Z )
% 15.24/15.61 }.
% 15.24/15.61 substitution0:
% 15.24/15.61 X := Y
% 15.24/15.61 Y := Z
% 15.24/15.61 Z := X
% 15.24/15.61 end
% 15.24/15.61 permutation0:
% 15.24/15.61 0 ==> 0
% 15.24/15.61 1 ==> 1
% 15.24/15.61 end
% 15.24/15.61
% 15.24/15.61 resolution: (57407) {G1,W8,D2,L2,V3,M2} { coll( Z, X, X ), ! coll( X, Z, Y
% 15.24/15.61 ) }.
% 15.24/15.61 parent0[0]: (1807) {G5,W8,D2,L2,V3,M2} R(553,1) { ! coll( X, Y, Z ), coll(
% 15.24/15.61 Z, X, X ) }.
% 15.24/15.61 parent1[1]: (0) {G0,W8,D2,L2,V3,M2} I { ! coll( X, Y, Z ), coll( X, Z, Y )
% 15.24/15.61 }.
% 15.24/15.61 substitution0:
% 15.24/15.61 X := X
% 15.24/15.61 Y := Y
% 15.24/15.61 Z := Z
% 15.24/15.61 end
% 15.24/15.61 substitution1:
% 15.24/15.61 X := X
% 15.24/15.61 Y := Z
% 15.24/15.61 Z := Y
% 15.24/15.61 end
% 15.24/15.61
% 15.24/15.61 subsumption: (1814) {G6,W8,D2,L2,V3,M2} R(1807,0) { coll( X, Y, Y ), ! coll
% 15.24/15.61 ( Y, X, Z ) }.
% 15.24/15.61 parent0: (57407) {G1,W8,D2,L2,V3,M2} { coll( Z, X, X ), ! coll( X, Z, Y )
% 15.24/15.61 }.
% 15.24/15.61 substitution0:
% 15.24/15.61 X := Y
% 15.24/15.61 Y := Z
% 15.24/15.61 Z := X
% 15.24/15.61 end
% 15.24/15.61 permutation0:
% 15.24/15.61 0 ==> 0
% 15.24/15.61 1 ==> 1
% 15.24/15.61 end
% 15.24/15.61
% 15.24/15.61 resolution: (57409) {G6,W8,D2,L2,V3,M2} { coll( Y, X, X ), ! coll( Z, Y, X
% 15.24/15.61 ) }.
% 15.24/15.61 parent0[0]: (1807) {G5,W8,D2,L2,V3,M2} R(553,1) { ! coll( X, Y, Z ), coll(
% 15.24/15.61 Z, X, X ) }.
% 15.24/15.61 parent1[0]: (1813) {G6,W8,D2,L2,V3,M2} R(1807,1) { coll( X, Y, Y ), ! coll
% 15.24/15.61 ( Z, Y, X ) }.
% 15.24/15.61 substitution0:
% 15.24/15.61 X := X
% 15.24/15.61 Y := Y
% 15.24/15.61 Z := Y
% 15.24/15.61 end
% 15.24/15.61 substitution1:
% 15.24/15.61 X := X
% 15.24/15.61 Y := Y
% 15.24/15.61 Z := Z
% 15.24/15.61 end
% 15.24/15.61
% 15.24/15.61 subsumption: (1815) {G7,W8,D2,L2,V3,M2} R(1813,1807) { ! coll( X, Y, Z ),
% 15.24/15.61 coll( Y, Z, Z ) }.
% 15.24/15.61 parent0: (57409) {G6,W8,D2,L2,V3,M2} { coll( Y, X, X ), ! coll( Z, Y, X )
% 15.24/15.61 }.
% 15.24/15.61 substitution0:
% 15.24/15.61 X := Z
% 15.24/15.61 Y := Y
% 15.24/15.61 Z := X
% 15.24/15.61 end
% 15.24/15.61 permutation0:
% 15.24/15.61 0 ==> 1
% 15.24/15.61 1 ==> 0
% 15.24/15.61 end
% 15.24/15.61
% 15.24/15.61 resolution: (57410) {G7,W8,D2,L2,V3,M2} { coll( X, Y, Y ), ! coll( X, Y, Z
% 15.24/15.61 ) }.
% 15.24/15.61 parent0[1]: (1814) {G6,W8,D2,L2,V3,M2} R(1807,0) { coll( X, Y, Y ), ! coll
% 15.24/15.61 ( Y, X, Z ) }.
% 15.24/15.61 parent1[0]: (1814) {G6,W8,D2,L2,V3,M2} R(1807,0) { coll( X, Y, Y ), ! coll
% 15.24/15.61 ( Y, X, Z ) }.
% 15.24/15.61 substitution0:
% 15.24/15.61 X := X
% 15.24/15.61 Y := Y
% 15.24/15.61 Z := X
% 15.24/15.61 end
% 15.24/15.61 substitution1:
% 15.24/15.61 X := Y
% 15.24/15.61 Y := X
% 15.24/15.61 Z := Z
% 15.24/15.61 end
% 15.24/15.61
% 15.24/15.61 subsumption: (1854) {G7,W8,D2,L2,V3,M2} R(1814,1814) { ! coll( X, Y, Z ),
% 15.24/15.61 coll( X, Y, Y ) }.
% 15.24/15.61 parent0: (57410) {G7,W8,D2,L2,V3,M2} { coll( X, Y, Y ), ! coll( X, Y, Z )
% 15.24/15.61 }.
% 15.24/15.61 substitution0:
% 15.24/15.61 X := X
% 15.24/15.61 Y := Y
% 15.24/15.61 Z := Z
% 15.24/15.61 end
% 15.24/15.61 permutation0:
% 15.24/15.61 0 ==> 1
% 15.24/15.61 1 ==> 0
% 15.24/15.61 end
% 15.24/15.61
% 15.24/15.61 resolution: (57414) {G1,W12,D2,L3,V4,M3} { ! coll( X, Y, Z ), coll( Z, Y,
% 15.24/15.61 X ), ! coll( X, Y, T ) }.
% 15.24/15.61 parent0[1]: (2) {G0,W12,D2,L3,V4,M3} I { ! coll( X, T, Y ), ! coll( X, T, Z
% 15.24/15.61 ), coll( Y, Z, X ) }.
% 15.24/15.61 parent1[1]: (1854) {G7,W8,D2,L2,V3,M2} R(1814,1814) { ! coll( X, Y, Z ),
% 15.24/15.61 coll( X, Y, Y ) }.
% 15.24/15.61 substitution0:
% 15.24/15.61 X := X
% 15.24/15.61 Y := Z
% 15.24/15.61 Z := Y
% 15.24/15.61 T := Y
% 15.24/15.61 end
% 15.24/15.61 substitution1:
% 15.24/15.61 X := X
% 15.24/15.61 Y := Y
% 15.24/15.61 Z := T
% 15.24/15.61 end
% 15.24/15.61
% 15.24/15.61 subsumption: (1859) {G8,W12,D2,L3,V4,M3} R(1854,2) { ! coll( X, Y, Z ), !
% 15.24/15.61 coll( X, Y, T ), coll( T, Y, X ) }.
% 15.24/15.61 parent0: (57414) {G1,W12,D2,L3,V4,M3} { ! coll( X, Y, Z ), coll( Z, Y, X )
% 15.24/15.61 , ! coll( X, Y, T ) }.
% 15.24/15.61 substitution0:
% 15.24/15.61 X := X
% 15.24/15.61 Y := Y
% 15.24/15.61 Z := T
% 15.24/15.61 T := Z
% 15.24/15.61 end
% 15.24/15.61 permutation0:
% 15.24/15.61 0 ==> 1
% 15.24/15.61 1 ==> 2
% 15.24/15.61 2 ==> 0
% 15.24/15.61 end
% 15.24/15.61
% 15.24/15.61 factor: (57417) {G8,W8,D2,L2,V3,M2} { ! coll( X, Y, Z ), coll( Z, Y, X )
% 15.24/15.61 }.
% 15.24/15.61 parent0[0, 1]: (1859) {G8,W12,D2,L3,V4,M3} R(1854,2) { ! coll( X, Y, Z ), !
% 15.24/15.61 coll( X, Y, T ), coll( T, Y, X ) }.
% 15.24/15.61 substitution0:
% 15.24/15.61 X := X
% 15.24/15.61 Y := Y
% 15.24/15.61 Z := Z
% 15.24/15.61 T := Z
% 15.24/15.61 end
% 15.24/15.61
% 15.24/15.61 subsumption: (1860) {G9,W8,D2,L2,V3,M2} F(1859) { ! coll( X, Y, Z ), coll(
% 15.24/15.61 Z, Y, X ) }.
% 15.24/15.61 parent0: (57417) {G8,W8,D2,L2,V3,M2} { ! coll( X, Y, Z ), coll( Z, Y, X )
% 15.24/15.61 }.
% 15.24/15.61 substitution0:
% 15.24/15.61 X := X
% 15.24/15.61 Y := Y
% 15.24/15.61 Z := Z
% 15.24/15.61 end
% 15.24/15.61 permutation0:
% 15.24/15.61 0 ==> 0
% 15.24/15.61 1 ==> 1
% 15.24/15.61 end
% 15.24/15.61
% 15.24/15.61 resolution: (57418) {G8,W8,D2,L2,V3,M2} { coll( Y, Y, X ), ! coll( Z, X, Y
% 15.24/15.61 ) }.
% 15.24/15.61 parent0[0]: (1860) {G9,W8,D2,L2,V3,M2} F(1859) { ! coll( X, Y, Z ), coll( Z
% 15.24/15.61 , Y, X ) }.
% 15.24/15.61 parent1[1]: (1815) {G7,W8,D2,L2,V3,M2} R(1813,1807) { ! coll( X, Y, Z ),
% 15.24/15.61 coll( Y, Z, Z ) }.
% 15.24/15.61 substitution0:
% 15.24/15.61 X := X
% 15.24/15.61 Y := Y
% 15.24/15.61 Z := Y
% 15.24/15.61 end
% 15.24/15.61 substitution1:
% 15.24/15.61 X := Z
% 15.24/15.61 Y := X
% 15.24/15.61 Z := Y
% 15.24/15.61 end
% 15.24/15.61
% 15.24/15.61 subsumption: (1863) {G10,W8,D2,L2,V3,M2} R(1860,1815) { coll( X, X, Y ), !
% 15.24/15.61 coll( Z, Y, X ) }.
% 15.24/15.61 parent0: (57418) {G8,W8,D2,L2,V3,M2} { coll( Y, Y, X ), ! coll( Z, X, Y )
% 15.24/15.61 }.
% 15.24/15.61 substitution0:
% 15.24/15.61 X := Y
% 15.24/15.61 Y := X
% 15.24/15.61 Z := Z
% 15.24/15.61 end
% 15.24/15.61 permutation0:
% 15.24/15.61 0 ==> 0
% 15.24/15.61 1 ==> 1
% 15.24/15.61 end
% 15.24/15.61
% 15.24/15.61 resolution: (57419) {G1,W8,D2,L2,V3,M2} { coll( X, X, Y ), ! alpha1( X, T
% 15.24/15.61 , Y ) }.
% 15.24/15.61 parent0[1]: (1863) {G10,W8,D2,L2,V3,M2} R(1860,1815) { coll( X, X, Y ), !
% 15.24/15.61 coll( Z, Y, X ) }.
% 15.24/15.61 parent1[1]: (97) {G0,W11,D3,L2,V4,M2} I { ! alpha1( X, Y, Z ), coll( skol11
% 15.24/15.61 ( X, T, Z ), Z, X ) }.
% 15.24/15.61 substitution0:
% 15.24/15.61 X := X
% 15.24/15.61 Y := Y
% 15.24/15.61 Z := skol11( X, Z, Y )
% 15.24/15.61 end
% 15.24/15.61 substitution1:
% 15.24/15.61 X := X
% 15.24/15.61 Y := T
% 15.24/15.61 Z := Y
% 15.24/15.61 T := Z
% 15.24/15.61 end
% 15.24/15.61
% 15.24/15.61 subsumption: (4514) {G11,W8,D2,L2,V3,M2} R(97,1863) { ! alpha1( X, Y, Z ),
% 15.24/15.61 coll( X, X, Z ) }.
% 15.24/15.61 parent0: (57419) {G1,W8,D2,L2,V3,M2} { coll( X, X, Y ), ! alpha1( X, T, Y
% 15.24/15.61 ) }.
% 15.24/15.61 substitution0:
% 15.24/15.61 X := X
% 15.24/15.61 Y := Z
% 15.24/15.61 Z := T
% 15.24/15.61 T := Y
% 15.24/15.61 end
% 15.24/15.61 permutation0:
% 15.24/15.61 0 ==> 1
% 15.24/15.61 1 ==> 0
% 15.24/15.61 end
% 15.24/15.61
% 15.24/15.61 resolution: (57420) {G1,W8,D2,L2,V3,M2} { coll( X, Y, Y ), ! alpha1( X, T
% 15.24/15.61 , Y ) }.
% 15.24/15.61 parent0[1]: (1813) {G6,W8,D2,L2,V3,M2} R(1807,1) { coll( X, Y, Y ), ! coll
% 15.24/15.61 ( Z, Y, X ) }.
% 15.24/15.61 parent1[1]: (97) {G0,W11,D3,L2,V4,M2} I { ! alpha1( X, Y, Z ), coll( skol11
% 15.24/15.61 ( X, T, Z ), Z, X ) }.
% 15.24/15.61 substitution0:
% 15.24/15.61 X := X
% 15.24/15.61 Y := Y
% 15.24/15.61 Z := skol11( X, Z, Y )
% 15.24/15.61 end
% 15.24/15.61 substitution1:
% 15.24/15.61 X := X
% 15.24/15.61 Y := T
% 15.24/15.61 Z := Y
% 15.24/15.61 T := Z
% 15.24/15.61 end
% 15.24/15.61
% 15.24/15.61 subsumption: (4521) {G7,W8,D2,L2,V3,M2} R(97,1813) { ! alpha1( X, Y, Z ),
% 15.24/15.61 coll( X, Z, Z ) }.
% 15.24/15.61 parent0: (57420) {G1,W8,D2,L2,V3,M2} { coll( X, Y, Y ), ! alpha1( X, T, Y
% 15.24/15.61 ) }.
% 15.24/15.61 substitution0:
% 15.24/15.61 X := X
% 15.24/15.61 Y := Z
% 15.24/15.61 Z := T
% 15.24/15.61 T := Y
% 15.24/15.61 end
% 15.24/15.61 permutation0:
% 15.24/15.61 0 ==> 1
% 15.24/15.61 1 ==> 0
% 15.24/15.61 end
% 15.24/15.61
% 15.24/15.61 resolution: (57421) {G3,W5,D2,L1,V0,M1} { para( skol29, skol22, skol29,
% 15.24/15.61 skol22 ) }.
% 15.24/15.61 parent0[0]: (304) {G2,W10,D2,L2,V4,M2} F(296) { ! perp( X, Y, Z, T ), para
% 15.24/15.61 ( X, Y, X, Y ) }.
% 15.24/15.61 parent1[0]: (366) {G4,W5,D2,L1,V0,M1} R(362,6) { perp( skol29, skol22,
% 15.24/15.61 skol27, skol26 ) }.
% 15.24/15.61 substitution0:
% 15.24/15.61 X := skol29
% 15.24/15.61 Y := skol22
% 15.24/15.61 Z := skol27
% 15.24/15.61 T := skol26
% 15.24/15.61 end
% 15.24/15.61 substitution1:
% 15.24/15.61 end
% 15.24/15.61
% 15.24/15.61 subsumption: (21596) {G5,W5,D2,L1,V0,M1} R(304,366) { para( skol29, skol22
% 15.24/15.61 , skol29, skol22 ) }.
% 15.24/15.61 parent0: (57421) {G3,W5,D2,L1,V0,M1} { para( skol29, skol22, skol29,
% 15.24/15.61 skol22 ) }.
% 15.24/15.61 substitution0:
% 15.24/15.61 end
% 15.24/15.61 permutation0:
% 15.24/15.61 0 ==> 0
% 15.24/15.61 end
% 15.24/15.61
% 15.24/15.61 resolution: (57422) {G2,W9,D2,L1,V2,M1} { eqangle( X, Y, skol29, skol22, X
% 15.24/15.61 , Y, skol29, skol22 ) }.
% 15.24/15.61 parent0[0]: (838) {G1,W14,D2,L2,V6,M2} R(39,18) { ! para( X, Y, Z, T ),
% 15.24/15.61 eqangle( U, W, X, Y, U, W, Z, T ) }.
% 15.24/15.61 parent1[0]: (21596) {G5,W5,D2,L1,V0,M1} R(304,366) { para( skol29, skol22,
% 15.24/15.61 skol29, skol22 ) }.
% 15.24/15.61 substitution0:
% 15.24/15.61 X := skol29
% 15.24/15.61 Y := skol22
% 15.24/15.61 Z := skol29
% 15.24/15.61 T := skol22
% 15.24/15.61 U := X
% 15.24/15.61 W := Y
% 15.24/15.61 end
% 15.24/15.61 substitution1:
% 15.24/15.61 end
% 15.24/15.61
% 15.24/15.61 subsumption: (45468) {G6,W9,D2,L1,V2,M1} R(838,21596) { eqangle( X, Y,
% 15.24/15.61 skol29, skol22, X, Y, skol29, skol22 ) }.
% 15.24/15.61 parent0: (57422) {G2,W9,D2,L1,V2,M1} { eqangle( X, Y, skol29, skol22, X, Y
% 15.24/15.61 , skol29, skol22 ) }.
% 15.24/15.61 substitution0:
% 15.24/15.61 X := X
% 15.24/15.61 Y := Y
% 15.24/15.61 end
% 15.24/15.61 permutation0:
% 15.24/15.61 0 ==> 0
% 15.24/15.61 end
% 15.24/15.61
% 15.24/15.61 resolution: (57423) {G6,W5,D2,L1,V1,M1} { cyclic( X, skol22, skol29,
% 15.24/15.61 skol29 ) }.
% 15.24/15.61 parent0[0]: (903) {G5,W14,D2,L2,V1,M2} R(42,899) { ! eqangle( skol29, X,
% 15.24/15.61 skol29, skol22, skol29, X, skol29, skol22 ), cyclic( X, skol22, skol29,
% 15.24/15.61 skol29 ) }.
% 15.24/15.61 parent1[0]: (45468) {G6,W9,D2,L1,V2,M1} R(838,21596) { eqangle( X, Y,
% 15.24/15.61 skol29, skol22, X, Y, skol29, skol22 ) }.
% 15.24/15.61 substitution0:
% 15.24/15.61 X := X
% 15.24/15.61 end
% 15.24/15.61 substitution1:
% 15.24/15.61 X := skol29
% 15.24/15.61 Y := X
% 15.24/15.61 end
% 15.24/15.61
% 15.24/15.61 subsumption: (48195) {G7,W5,D2,L1,V1,M1} S(903);r(45468) { cyclic( X,
% 15.24/15.61 skol22, skol29, skol29 ) }.
% 15.24/15.61 parent0: (57423) {G6,W5,D2,L1,V1,M1} { cyclic( X, skol22, skol29, skol29 )
% 15.24/15.61 }.
% 15.24/15.61 substitution0:
% 15.24/15.61 X := X
% 15.24/15.61 end
% 15.24/15.61 permutation0:
% 15.24/15.61 0 ==> 0
% 15.24/15.61 end
% 15.24/15.61
% 15.24/15.61 resolution: (57424) {G2,W5,D2,L1,V1,M1} { cyclic( skol22, X, skol29,
% 15.24/15.61 skol29 ) }.
% 15.24/15.61 parent0[1]: (413) {G1,W10,D2,L2,V4,M2} R(15,13) { cyclic( X, Y, Z, T ), !
% 15.24/15.61 cyclic( Y, X, T, Z ) }.
% 15.24/15.61 parent1[0]: (48195) {G7,W5,D2,L1,V1,M1} S(903);r(45468) { cyclic( X, skol22
% 15.24/15.61 , skol29, skol29 ) }.
% 15.24/15.61 substitution0:
% 15.24/15.61 X := skol22
% 15.24/15.61 Y := X
% 15.24/15.61 Z := skol29
% 15.24/15.61 T := skol29
% 15.24/15.61 end
% 15.24/15.61 substitution1:
% 15.24/15.61 X := X
% 15.24/15.61 end
% 15.24/15.61
% 15.24/15.61 subsumption: (48216) {G8,W5,D2,L1,V1,M1} R(48195,413) { cyclic( skol22, X,
% 15.24/15.61 skol29, skol29 ) }.
% 15.24/15.61 parent0: (57424) {G2,W5,D2,L1,V1,M1} { cyclic( skol22, X, skol29, skol29 )
% 15.24/15.61 }.
% 15.24/15.61 substitution0:
% 15.24/15.61 X := X
% 15.24/15.61 end
% 15.24/15.61 permutation0:
% 15.24/15.61 0 ==> 0
% 15.24/15.61 end
% 15.24/15.61
% 15.24/15.61 resolution: (57425) {G3,W5,D2,L1,V1,M1} { cyclic( skol29, X, skol29,
% 15.24/15.61 skol29 ) }.
% 15.24/15.61 parent0[0]: (448) {G2,W10,D2,L2,V4,M2} F(439) { ! cyclic( X, Y, Z, T ),
% 15.24/15.61 cyclic( Z, Y, T, T ) }.
% 15.24/15.61 parent1[0]: (48216) {G8,W5,D2,L1,V1,M1} R(48195,413) { cyclic( skol22, X,
% 15.24/15.61 skol29, skol29 ) }.
% 15.24/15.61 substitution0:
% 15.24/15.61 X := skol22
% 15.24/15.61 Y := X
% 15.24/15.61 Z := skol29
% 15.24/15.61 T := skol29
% 15.24/15.61 end
% 15.24/15.61 substitution1:
% 15.24/15.61 X := X
% 15.24/15.61 end
% 15.24/15.61
% 15.24/15.61 subsumption: (48228) {G9,W5,D2,L1,V1,M1} R(48216,448) { cyclic( skol29, X,
% 15.24/15.61 skol29, skol29 ) }.
% 15.24/15.61 parent0: (57425) {G3,W5,D2,L1,V1,M1} { cyclic( skol29, X, skol29, skol29 )
% 15.24/15.61 }.
% 15.24/15.61 substitution0:
% 15.24/15.61 X := X
% 15.24/15.61 end
% 15.24/15.61 permutation0:
% 15.24/15.61 0 ==> 0
% 15.24/15.61 end
% 15.24/15.61
% 15.24/15.61 resolution: (57426) {G2,W5,D2,L1,V1,M1} { cyclic( skol29, skol29, X,
% 15.24/15.61 skol29 ) }.
% 15.24/15.61 parent0[1]: (411) {G1,W10,D2,L2,V4,M2} R(15,14) { cyclic( X, Y, Z, T ), !
% 15.24/15.61 cyclic( Y, Z, X, T ) }.
% 15.24/15.61 parent1[0]: (48228) {G9,W5,D2,L1,V1,M1} R(48216,448) { cyclic( skol29, X,
% 15.24/15.61 skol29, skol29 ) }.
% 15.24/15.61 substitution0:
% 15.24/15.61 X := skol29
% 15.24/15.61 Y := skol29
% 15.24/15.61 Z := X
% 15.24/15.61 T := skol29
% 15.24/15.61 end
% 15.24/15.61 substitution1:
% 15.24/15.61 X := X
% 15.24/15.61 end
% 15.24/15.61
% 15.24/15.61 subsumption: (48250) {G10,W5,D2,L1,V1,M1} R(48228,411) { cyclic( skol29,
% 15.24/15.61 skol29, X, skol29 ) }.
% 15.24/15.61 parent0: (57426) {G2,W5,D2,L1,V1,M1} { cyclic( skol29, skol29, X, skol29 )
% 15.24/15.61 }.
% 15.24/15.61 substitution0:
% 15.24/15.61 X := X
% 15.24/15.61 end
% 15.24/15.61 permutation0:
% 15.24/15.61 0 ==> 0
% 15.24/15.61 end
% 15.24/15.61
% 15.24/15.61 resolution: (57427) {G2,W5,D2,L1,V1,M1} { cyclic( skol29, skol29, skol29,
% 15.24/15.61 X ) }.
% 15.24/15.61 parent0[0]: (395) {G1,W10,D2,L2,V4,M2} R(14,13) { ! cyclic( X, Y, Z, T ),
% 15.24/15.61 cyclic( X, Z, T, Y ) }.
% 15.24/15.61 parent1[0]: (48228) {G9,W5,D2,L1,V1,M1} R(48216,448) { cyclic( skol29, X,
% 15.24/15.61 skol29, skol29 ) }.
% 15.24/15.61 substitution0:
% 15.24/15.61 X := skol29
% 15.24/15.61 Y := X
% 15.24/15.61 Z := skol29
% 15.24/15.61 T := skol29
% 15.24/15.61 end
% 15.24/15.61 substitution1:
% 15.24/15.61 X := X
% 15.24/15.61 end
% 15.24/15.61
% 15.24/15.61 subsumption: (48251) {G10,W5,D2,L1,V1,M1} R(48228,395) { cyclic( skol29,
% 15.24/15.61 skol29, skol29, X ) }.
% 15.24/15.61 parent0: (57427) {G2,W5,D2,L1,V1,M1} { cyclic( skol29, skol29, skol29, X )
% 15.24/15.61 }.
% 15.24/15.61 substitution0:
% 15.24/15.61 X := X
% 15.24/15.61 end
% 15.24/15.61 permutation0:
% 15.24/15.61 0 ==> 0
% 15.24/15.61 end
% 15.24/15.61
% 15.24/15.61 resolution: (57429) {G2,W10,D2,L2,V2,M2} { ! cyclic( skol29, skol29,
% 15.24/15.61 skol29, X ), cyclic( skol29, skol29, X, Y ) }.
% 15.24/15.61 parent0[2]: (444) {G1,W15,D2,L3,V5,M3} R(16,13) { ! cyclic( X, Y, Z, T ),
% 15.24/15.61 cyclic( Y, Z, T, U ), ! cyclic( X, Y, U, Z ) }.
% 15.24/15.61 parent1[0]: (48250) {G10,W5,D2,L1,V1,M1} R(48228,411) { cyclic( skol29,
% 15.24/15.61 skol29, X, skol29 ) }.
% 15.24/15.61 substitution0:
% 15.24/15.61 X := skol29
% 15.24/15.61 Y := skol29
% 15.24/15.61 Z := skol29
% 15.24/15.61 T := X
% 15.24/15.61 U := Y
% 15.24/15.61 end
% 15.24/15.61 substitution1:
% 15.24/15.61 X := Y
% 15.24/15.61 end
% 15.24/15.61
% 15.24/15.61 resolution: (57430) {G3,W5,D2,L1,V2,M1} { cyclic( skol29, skol29, X, Y )
% 15.24/15.61 }.
% 15.24/15.61 parent0[0]: (57429) {G2,W10,D2,L2,V2,M2} { ! cyclic( skol29, skol29,
% 15.24/15.61 skol29, X ), cyclic( skol29, skol29, X, Y ) }.
% 15.24/15.61 parent1[0]: (48251) {G10,W5,D2,L1,V1,M1} R(48228,395) { cyclic( skol29,
% 15.24/15.61 skol29, skol29, X ) }.
% 15.24/15.61 substitution0:
% 15.24/15.61 X := X
% 15.24/15.61 Y := Y
% 15.24/15.61 end
% 15.24/15.61 substitution1:
% 15.24/15.61 X := X
% 15.24/15.61 end
% 15.24/15.61
% 15.24/15.61 subsumption: (48256) {G11,W5,D2,L1,V2,M1} R(48250,444);r(48251) { cyclic(
% 15.24/15.61 skol29, skol29, X, Y ) }.
% 15.24/15.61 parent0: (57430) {G3,W5,D2,L1,V2,M1} { cyclic( skol29, skol29, X, Y ) }.
% 15.24/15.61 substitution0:
% 15.24/15.61 X := X
% 15.24/15.61 Y := Y
% 15.24/15.61 end
% 15.24/15.61 permutation0:
% 15.24/15.61 0 ==> 0
% 15.24/15.61 end
% 15.24/15.61
% 15.24/15.61 resolution: (57431) {G2,W10,D2,L2,V3,M2} { cyclic( skol29, X, Y, Z ), !
% 15.24/15.61 cyclic( skol29, skol29, Z, X ) }.
% 15.24/15.61 parent0[0]: (444) {G1,W15,D2,L3,V5,M3} R(16,13) { ! cyclic( X, Y, Z, T ),
% 15.24/15.61 cyclic( Y, Z, T, U ), ! cyclic( X, Y, U, Z ) }.
% 15.24/15.61 parent1[0]: (48256) {G11,W5,D2,L1,V2,M1} R(48250,444);r(48251) { cyclic(
% 15.24/15.61 skol29, skol29, X, Y ) }.
% 15.24/15.61 substitution0:
% 15.24/15.61 X := skol29
% 15.24/15.61 Y := skol29
% 15.24/15.61 Z := X
% 15.24/15.61 T := Y
% 15.24/15.61 U := Z
% 15.24/15.61 end
% 15.24/15.61 substitution1:
% 15.24/15.61 X := X
% 15.24/15.61 Y := Y
% 15.24/15.61 end
% 15.24/15.61
% 15.24/15.61 resolution: (57433) {G3,W5,D2,L1,V3,M1} { cyclic( skol29, X, Y, Z ) }.
% 15.24/15.61 parent0[1]: (57431) {G2,W10,D2,L2,V3,M2} { cyclic( skol29, X, Y, Z ), !
% 15.24/15.61 cyclic( skol29, skol29, Z, X ) }.
% 15.24/15.61 parent1[0]: (48256) {G11,W5,D2,L1,V2,M1} R(48250,444);r(48251) { cyclic(
% 15.24/15.61 skol29, skol29, X, Y ) }.
% 15.24/15.61 substitution0:
% 15.24/15.61 X := X
% 15.24/15.61 Y := Y
% 15.24/15.61 Z := Z
% 15.24/15.61 end
% 15.24/15.61 substitution1:
% 15.24/15.61 X := Z
% 15.24/15.61 Y := X
% 15.24/15.61 end
% 15.24/15.61
% 15.24/15.61 subsumption: (48278) {G12,W5,D2,L1,V3,M1} R(48256,444);r(48256) { cyclic(
% 15.24/15.61 skol29, X, Y, Z ) }.
% 15.24/15.61 parent0: (57433) {G3,W5,D2,L1,V3,M1} { cyclic( skol29, X, Y, Z ) }.
% 15.24/15.61 substitution0:
% 15.24/15.61 X := X
% 15.24/15.61 Y := Y
% 15.24/15.61 Z := Z
% 15.24/15.61 end
% 15.24/15.61 permutation0:
% 15.24/15.61 0 ==> 0
% 15.24/15.61 end
% 15.24/15.61
% 15.24/15.61 resolution: (57434) {G2,W10,D2,L2,V4,M2} { cyclic( X, Y, Z, T ), ! cyclic
% 15.24/15.61 ( skol29, X, T, Y ) }.
% 15.24/15.61 parent0[0]: (444) {G1,W15,D2,L3,V5,M3} R(16,13) { ! cyclic( X, Y, Z, T ),
% 15.24/15.61 cyclic( Y, Z, T, U ), ! cyclic( X, Y, U, Z ) }.
% 15.24/15.61 parent1[0]: (48278) {G12,W5,D2,L1,V3,M1} R(48256,444);r(48256) { cyclic(
% 15.24/15.61 skol29, X, Y, Z ) }.
% 15.24/15.61 substitution0:
% 15.24/15.61 X := skol29
% 15.24/15.61 Y := X
% 15.24/15.61 Z := Y
% 15.24/15.61 T := Z
% 15.24/15.61 U := T
% 15.24/15.61 end
% 15.24/15.61 substitution1:
% 15.24/15.61 X := X
% 15.24/15.61 Y := Y
% 15.24/15.61 Z := Z
% 15.24/15.61 end
% 15.24/15.61
% 15.24/15.61 resolution: (57436) {G3,W5,D2,L1,V4,M1} { cyclic( X, Y, Z, T ) }.
% 15.24/15.61 parent0[1]: (57434) {G2,W10,D2,L2,V4,M2} { cyclic( X, Y, Z, T ), ! cyclic
% 15.24/15.61 ( skol29, X, T, Y ) }.
% 15.24/15.61 parent1[0]: (48278) {G12,W5,D2,L1,V3,M1} R(48256,444);r(48256) { cyclic(
% 15.24/15.61 skol29, X, Y, Z ) }.
% 15.24/15.61 substitution0:
% 15.24/15.61 X := X
% 15.24/15.61 Y := Y
% 15.24/15.61 Z := Z
% 15.24/15.61 T := T
% 15.24/15.61 end
% 15.24/15.61 substitution1:
% 15.24/15.61 X := X
% 15.24/15.61 Y := T
% 15.24/15.61 Z := Y
% 15.24/15.61 end
% 15.24/15.61
% 15.24/15.61 subsumption: (48297) {G13,W5,D2,L1,V4,M1} R(48278,444);r(48278) { cyclic( X
% 15.24/15.61 , Y, Z, T ) }.
% 15.24/15.61 parent0: (57436) {G3,W5,D2,L1,V4,M1} { cyclic( X, Y, Z, T ) }.
% 15.24/15.61 substitution0:
% 15.24/15.61 X := X
% 15.24/15.61 Y := Y
% 15.24/15.61 Z := Z
% 15.24/15.61 T := T
% 15.24/15.61 end
% 15.24/15.61 permutation0:
% 15.24/15.61 0 ==> 0
% 15.24/15.61 end
% 15.24/15.61
% 15.24/15.61 resolution: (57439) {G3,W10,D2,L2,V3,M2} { ! cyclic( X, Y, Z, Y ), cong( X
% 15.24/15.61 , Y, X, Y ) }.
% 15.24/15.61 parent0[0]: (1102) {G2,W15,D2,L3,V3,M3} F(1070) { ! cyclic( X, Y, Z, X ), !
% 15.24/15.61 cyclic( X, Y, Z, Y ), cong( X, Y, X, Y ) }.
% 15.24/15.61 parent1[0]: (48297) {G13,W5,D2,L1,V4,M1} R(48278,444);r(48278) { cyclic( X
% 15.24/15.61 , Y, Z, T ) }.
% 15.24/15.61 substitution0:
% 15.24/15.61 X := X
% 15.24/15.61 Y := Y
% 15.24/15.61 Z := Z
% 15.24/15.61 end
% 15.24/15.61 substitution1:
% 15.24/15.61 X := X
% 15.24/15.61 Y := Y
% 15.24/15.61 Z := Z
% 15.24/15.61 T := X
% 15.24/15.61 end
% 15.24/15.61
% 15.24/15.61 resolution: (57441) {G4,W5,D2,L1,V2,M1} { cong( X, Y, X, Y ) }.
% 15.24/15.61 parent0[0]: (57439) {G3,W10,D2,L2,V3,M2} { ! cyclic( X, Y, Z, Y ), cong( X
% 15.24/15.61 , Y, X, Y ) }.
% 15.24/15.61 parent1[0]: (48297) {G13,W5,D2,L1,V4,M1} R(48278,444);r(48278) { cyclic( X
% 15.24/15.61 , Y, Z, T ) }.
% 15.24/15.61 substitution0:
% 15.24/15.61 X := X
% 15.24/15.61 Y := Y
% 15.24/15.61 Z := Z
% 15.24/15.61 end
% 15.24/15.61 substitution1:
% 15.24/15.61 X := X
% 15.24/15.61 Y := Y
% 15.24/15.61 Z := Z
% 15.24/15.61 T := Y
% 15.24/15.61 end
% 15.24/15.61
% 15.24/15.61 subsumption: (56579) {G14,W5,D2,L1,V2,M1} S(1102);r(48297);r(48297) { cong
% 15.24/15.61 ( X, Y, X, Y ) }.
% 15.24/15.61 parent0: (57441) {G4,W5,D2,L1,V2,M1} { cong( X, Y, X, Y ) }.
% 15.24/15.61 substitution0:
% 15.24/15.61 X := X
% 15.24/15.61 Y := Y
% 15.24/15.61 end
% 15.24/15.61 permutation0:
% 15.24/15.61 0 ==> 0
% 15.24/15.61 end
% 15.24/15.61
% 15.24/15.61 resolution: (57442) {G1,W10,D2,L2,V3,M2} { ! cong( X, Z, X, Z ), perp( X,
% 15.24/15.61 X, Y, Z ) }.
% 15.24/15.61 parent0[0]: (56) {G0,W15,D2,L3,V4,M3} I { ! cong( X, Z, Y, Z ), ! cong( X,
% 15.24/15.61 T, Y, T ), perp( X, Y, Z, T ) }.
% 15.24/15.61 parent1[0]: (56579) {G14,W5,D2,L1,V2,M1} S(1102);r(48297);r(48297) { cong(
% 15.24/15.61 X, Y, X, Y ) }.
% 15.24/15.61 substitution0:
% 15.24/15.61 X := X
% 15.24/15.61 Y := X
% 15.24/15.61 Z := Y
% 15.24/15.61 T := Z
% 15.24/15.61 end
% 15.24/15.61 substitution1:
% 15.24/15.61 X := X
% 15.24/15.61 Y := Y
% 15.24/15.61 end
% 15.24/15.61
% 15.24/15.61 resolution: (57444) {G2,W5,D2,L1,V3,M1} { perp( X, X, Z, Y ) }.
% 15.24/15.61 parent0[0]: (57442) {G1,W10,D2,L2,V3,M2} { ! cong( X, Z, X, Z ), perp( X,
% 15.24/15.61 X, Y, Z ) }.
% 15.24/15.61 parent1[0]: (56579) {G14,W5,D2,L1,V2,M1} S(1102);r(48297);r(48297) { cong(
% 15.24/15.61 X, Y, X, Y ) }.
% 15.24/15.61 substitution0:
% 15.24/15.61 X := X
% 15.24/15.61 Y := Z
% 15.24/15.61 Z := Y
% 15.24/15.61 end
% 15.24/15.61 substitution1:
% 15.24/15.61 X := X
% 15.24/15.61 Y := Y
% 15.24/15.61 end
% 15.24/15.61
% 15.24/15.61 subsumption: (56596) {G15,W5,D2,L1,V3,M1} R(56579,56);r(56579) { perp( X, X
% 15.24/15.61 , Z, Y ) }.
% 15.24/15.61 parent0: (57444) {G2,W5,D2,L1,V3,M1} { perp( X, X, Z, Y ) }.
% 15.24/15.61 substitution0:
% 15.24/15.61 X := X
% 15.24/15.61 Y := Y
% 15.24/15.61 Z := Z
% 15.24/15.61 end
% 15.24/15.61 permutation0:
% 15.24/15.61 0 ==> 0
% 15.24/15.61 end
% 15.24/15.61
% 15.24/15.61 resolution: (57445) {G2,W10,D2,L2,V5,M2} { para( T, U, Y, Z ), ! perp( X,
% 15.24/15.61 X, T, U ) }.
% 15.24/15.61 parent0[0]: (295) {G1,W15,D2,L3,V6,M3} R(8,7) { ! perp( X, Y, Z, T ), para
% 15.24/15.61 ( U, W, Z, T ), ! perp( X, Y, U, W ) }.
% 15.24/15.61 parent1[0]: (56596) {G15,W5,D2,L1,V3,M1} R(56579,56);r(56579) { perp( X, X
% 15.24/15.61 , Z, Y ) }.
% 15.24/15.61 substitution0:
% 15.24/15.61 X := X
% 15.24/15.61 Y := X
% 15.24/15.61 Z := Y
% 15.24/15.61 T := Z
% 15.24/15.61 U := T
% 15.24/15.61 W := U
% 15.24/15.61 end
% 15.24/15.61 substitution1:
% 15.24/15.61 X := X
% 15.24/15.61 Y := Z
% 15.24/15.61 Z := Y
% 15.24/15.61 end
% 15.24/15.61
% 15.24/15.61 resolution: (57447) {G3,W5,D2,L1,V4,M1} { para( X, Y, Z, T ) }.
% 15.24/15.61 parent0[1]: (57445) {G2,W10,D2,L2,V5,M2} { para( T, U, Y, Z ), ! perp( X,
% 15.24/15.61 X, T, U ) }.
% 15.24/15.61 parent1[0]: (56596) {G15,W5,D2,L1,V3,M1} R(56579,56);r(56579) { perp( X, X
% 15.24/15.61 , Z, Y ) }.
% 15.24/15.61 substitution0:
% 15.24/15.61 X := U
% 15.24/15.61 Y := Z
% 15.24/15.61 Z := T
% 15.24/15.61 T := X
% 15.24/15.61 U := Y
% 15.24/15.61 end
% 15.24/15.61 substitution1:
% 15.24/15.61 X := U
% 15.24/15.61 Y := Y
% 15.24/15.61 Z := X
% 15.24/15.61 end
% 15.24/15.61
% 15.24/15.61 subsumption: (56633) {G16,W5,D2,L1,V4,M1} R(56596,295);r(56596) { para( X,
% 15.24/15.61 Y, Z, T ) }.
% 15.24/15.61 parent0: (57447) {G3,W5,D2,L1,V4,M1} { para( X, Y, Z, T ) }.
% 15.24/15.61 substitution0:
% 15.24/15.61 X := X
% 15.24/15.61 Y := Y
% 15.24/15.61 Z := Z
% 15.24/15.61 T := T
% 15.24/15.61 end
% 15.24/15.61 permutation0:
% 15.24/15.61 0 ==> 0
% 15.24/15.61 end
% 15.24/15.61
% 15.24/15.61 resolution: (57448) {G2,W4,D2,L1,V2,M1} { alpha1( X, X, Y ) }.
% 15.24/15.61 parent0[0]: (157) {G1,W9,D2,L2,V3,M2} F(96) { ! perp( X, Y, X, Z ), alpha1
% 15.24/15.61 ( X, X, Z ) }.
% 15.24/15.61 parent1[0]: (56596) {G15,W5,D2,L1,V3,M1} R(56579,56);r(56579) { perp( X, X
% 15.24/15.61 , Z, Y ) }.
% 15.24/15.61 substitution0:
% 15.24/15.61 X := X
% 15.24/15.61 Y := X
% 15.24/15.61 Z := Y
% 15.24/15.61 end
% 15.24/15.61 substitution1:
% 15.24/15.61 X := X
% 15.24/15.61 Y := Y
% 15.24/15.61 Z := X
% 15.24/15.61 end
% 15.24/15.61
% 15.24/15.61 subsumption: (56635) {G16,W4,D2,L1,V2,M1} R(56596,157) { alpha1( X, X, Y )
% 15.24/15.61 }.
% 15.24/15.61 parent0: (57448) {G2,W4,D2,L1,V2,M1} { alpha1( X, X, Y ) }.
% 15.24/15.61 substitution0:
% 15.24/15.61 X := X
% 15.24/15.61 Y := Y
% 15.24/15.61 end
% 15.24/15.61 permutation0:
% 15.24/15.61 0 ==> 0
% 15.24/15.61 end
% 15.24/15.61
% 15.24/15.61 resolution: (57449) {G8,W4,D2,L1,V2,M1} { coll( X, Y, Y ) }.
% 15.24/15.61 parent0[0]: (4521) {G7,W8,D2,L2,V3,M2} R(97,1813) { ! alpha1( X, Y, Z ),
% 15.24/15.61 coll( X, Z, Z ) }.
% 15.24/15.61 parent1[0]: (56635) {G16,W4,D2,L1,V2,M1} R(56596,157) { alpha1( X, X, Y )
% 15.24/15.61 }.
% 15.24/15.61 substitution0:
% 15.24/15.61 X := X
% 15.24/15.61 Y := X
% 15.24/15.61 Z := Y
% 15.24/15.61 end
% 15.24/15.61 substitution1:
% 15.24/15.61 X := X
% 15.24/15.61 Y := Y
% 15.24/15.61 end
% 15.24/15.61
% 15.24/15.61 subsumption: (56715) {G17,W4,D2,L1,V2,M1} R(56635,4521) { coll( X, Y, Y )
% 15.24/15.61 }.
% 15.24/15.61 parent0: (57449) {G8,W4,D2,L1,V2,M1} { coll( X, Y, Y ) }.
% 15.24/15.61 substitution0:
% 15.24/15.61 X := X
% 15.24/15.61 Y := Y
% 15.24/15.61 end
% 15.24/15.61 permutation0:
% 15.24/15.61 0 ==> 0
% 15.24/15.61 end
% 15.24/15.61
% 15.24/15.61 resolution: (57450) {G12,W4,D2,L1,V2,M1} { coll( X, X, Y ) }.
% 15.24/15.61 parent0[0]: (4514) {G11,W8,D2,L2,V3,M2} R(97,1863) { ! alpha1( X, Y, Z ),
% 15.24/15.61 coll( X, X, Z ) }.
% 15.24/15.61 parent1[0]: (56635) {G16,W4,D2,L1,V2,M1} R(56596,157) { alpha1( X, X, Y )
% 15.24/15.61 }.
% 15.24/15.61 substitution0:
% 15.24/15.61 X := X
% 15.24/15.61 Y := X
% 15.24/15.61 Z := Y
% 15.24/15.61 end
% 15.24/15.61 substitution1:
% 15.24/15.61 X := X
% 15.24/15.61 Y := Y
% 15.24/15.61 end
% 15.24/15.61
% 15.24/15.61 subsumption: (56716) {G17,W4,D2,L1,V2,M1} R(56635,4514) { coll( X, X, Y )
% 15.24/15.61 }.
% 15.24/15.61 parent0: (57450) {G12,W4,D2,L1,V2,M1} { coll( X, X, Y ) }.
% 15.24/15.61 substitution0:
% 15.24/15.61 X := X
% 15.24/15.61 Y := Y
% 15.24/15.61 end
% 15.24/15.61 permutation0:
% 15.24/15.61 0 ==> 0
% 15.24/15.61 end
% 15.24/15.61
% 15.24/15.61 resolution: (57451) {G1,W9,D2,L2,V2,M2} { ! cong( X, Y, X, Y ), midp( X, Y
% 15.24/15.61 , Y ) }.
% 15.24/15.61 parent0[1]: (67) {G0,W13,D2,L3,V3,M3} I { ! cong( X, Y, X, Z ), ! coll( X,
% 15.24/15.61 Y, Z ), midp( X, Y, Z ) }.
% 15.24/15.61 parent1[0]: (56715) {G17,W4,D2,L1,V2,M1} R(56635,4521) { coll( X, Y, Y )
% 15.24/15.61 }.
% 15.24/15.61 substitution0:
% 15.24/15.61 X := X
% 15.24/15.61 Y := Y
% 15.24/15.61 Z := Y
% 15.24/15.61 end
% 15.24/15.61 substitution1:
% 15.24/15.61 X := X
% 15.24/15.61 Y := Y
% 15.24/15.61 end
% 15.24/15.61
% 15.24/15.61 resolution: (57452) {G2,W4,D2,L1,V2,M1} { midp( X, Y, Y ) }.
% 15.24/15.61 parent0[0]: (57451) {G1,W9,D2,L2,V2,M2} { ! cong( X, Y, X, Y ), midp( X, Y
% 15.24/15.61 , Y ) }.
% 15.24/15.61 parent1[0]: (56579) {G14,W5,D2,L1,V2,M1} S(1102);r(48297);r(48297) { cong(
% 15.24/15.61 X, Y, X, Y ) }.
% 15.24/15.61 substitution0:
% 15.24/15.61 X := X
% 15.24/15.61 Y := Y
% 15.24/15.61 end
% 15.24/15.61 substitution1:
% 15.24/15.61 X := X
% 15.24/15.61 Y := Y
% 15.24/15.61 end
% 15.24/15.61
% 15.24/15.61 subsumption: (56731) {G18,W4,D2,L1,V2,M1} R(56715,67);r(56579) { midp( X, Y
% 15.24/15.61 , Y ) }.
% 15.24/15.61 parent0: (57452) {G2,W4,D2,L1,V2,M1} { midp( X, Y, Y ) }.
% 15.24/15.61 substitution0:
% 15.24/15.61 X := X
% 15.24/15.61 Y := Y
% 15.24/15.61 end
% 15.24/15.61 permutation0:
% 15.24/15.61 0 ==> 0
% 15.24/15.61 end
% 15.24/15.61
% 15.24/15.61 resolution: (57453) {G2,W8,D2,L2,V3,M2} { ! coll( X, X, Z ), coll( Y, X, Z
% 15.24/15.61 ) }.
% 15.24/15.61 parent0[0]: (206) {G1,W12,D2,L3,V4,M3} R(2,0) { ! coll( X, Y, Z ), ! coll(
% 15.24/15.61 X, Y, T ), coll( Z, X, T ) }.
% 15.24/15.61 parent1[0]: (56716) {G17,W4,D2,L1,V2,M1} R(56635,4514) { coll( X, X, Y )
% 15.24/15.61 }.
% 15.24/15.61 substitution0:
% 15.24/15.61 X := X
% 15.24/15.61 Y := X
% 15.24/15.61 Z := Y
% 15.24/15.61 T := Z
% 15.24/15.61 end
% 15.24/15.61 substitution1:
% 15.24/15.61 X := X
% 15.24/15.61 Y := Y
% 15.24/15.61 end
% 15.24/15.61
% 15.24/15.61 resolution: (57455) {G3,W4,D2,L1,V3,M1} { coll( Z, X, Y ) }.
% 15.24/15.61 parent0[0]: (57453) {G2,W8,D2,L2,V3,M2} { ! coll( X, X, Z ), coll( Y, X, Z
% 15.24/15.61 ) }.
% 15.24/15.61 parent1[0]: (56716) {G17,W4,D2,L1,V2,M1} R(56635,4514) { coll( X, X, Y )
% 15.24/15.61 }.
% 15.24/15.61 substitution0:
% 15.24/15.61 X := X
% 15.24/15.61 Y := Z
% 15.24/15.61 Z := Y
% 15.24/15.61 end
% 15.24/15.61 substitution1:
% 15.24/15.61 X := X
% 15.24/15.61 Y := Y
% 15.24/15.61 end
% 15.24/15.61
% 15.24/15.61 subsumption: (56768) {G18,W4,D2,L1,V3,M1} R(56716,206);r(56716) { coll( Z,
% 15.24/15.61 X, Y ) }.
% 15.24/15.61 parent0: (57455) {G3,W4,D2,L1,V3,M1} { coll( Z, X, Y ) }.
% 15.24/15.61 substitution0:
% 15.24/15.61 X := X
% 15.24/15.61 Y := Y
% 15.24/15.61 Z := Z
% 15.24/15.61 end
% 15.24/15.61 permutation0:
% 15.24/15.61 0 ==> 0
% 15.24/15.61 end
% 15.24/15.61
% 15.24/15.61 resolution: (57456) {G1,W17,D2,L4,V3,M4} { ! midp( skol20, X, skol23 ), !
% 15.24/15.61 midp( Y, X, Z ), ! para( Y, skol22, Z, skol24 ), ! coll( skol22, X,
% 15.24/15.61 skol24 ) }.
% 15.24/15.61 parent0[0]: (1116) {G2,W8,D2,L2,V1,M2} R(44,330) { ! midp( skol22, X,
% 15.24/15.61 skol24 ), ! midp( skol20, X, skol23 ) }.
% 15.24/15.61 parent1[3]: (45) {G0,W17,D2,L4,V5,M4} I { ! midp( U, X, T ), ! para( U, Z,
% 15.24/15.61 T, Y ), ! coll( Z, X, Y ), midp( Z, X, Y ) }.
% 15.24/15.61 substitution0:
% 15.24/15.61 X := X
% 15.24/15.61 end
% 15.24/15.61 substitution1:
% 15.24/15.61 X := X
% 15.24/15.61 Y := skol24
% 15.24/15.61 Z := skol22
% 15.24/15.61 T := Z
% 15.24/15.61 U := Y
% 15.24/15.61 end
% 15.24/15.61
% 15.24/15.61 resolution: (57461) {G2,W12,D2,L3,V3,M3} { ! midp( skol20, X, skol23 ), !
% 15.24/15.61 midp( Y, X, Z ), ! coll( skol22, X, skol24 ) }.
% 15.24/15.61 parent0[2]: (57456) {G1,W17,D2,L4,V3,M4} { ! midp( skol20, X, skol23 ), !
% 15.24/15.61 midp( Y, X, Z ), ! para( Y, skol22, Z, skol24 ), ! coll( skol22, X,
% 15.24/15.61 skol24 ) }.
% 15.24/15.61 parent1[0]: (56633) {G16,W5,D2,L1,V4,M1} R(56596,295);r(56596) { para( X, Y
% 15.24/15.61 , Z, T ) }.
% 15.24/15.61 substitution0:
% 15.24/15.61 X := X
% 15.24/15.61 Y := Y
% 15.24/15.61 Z := Z
% 15.24/15.61 end
% 15.24/15.61 substitution1:
% 15.24/15.61 X := Y
% 15.24/15.61 Y := skol22
% 15.24/15.61 Z := Z
% 15.24/15.61 T := skol24
% 15.24/15.61 end
% 15.24/15.61
% 15.24/15.61 subsumption: (56790) {G17,W12,D2,L3,V3,M3} R(1116,45);r(56633) { ! midp(
% 15.24/15.61 skol20, X, skol23 ), ! midp( Y, X, Z ), ! coll( skol22, X, skol24 ) }.
% 15.24/15.61 parent0: (57461) {G2,W12,D2,L3,V3,M3} { ! midp( skol20, X, skol23 ), !
% 15.24/15.61 midp( Y, X, Z ), ! coll( skol22, X, skol24 ) }.
% 15.24/15.61 substitution0:
% 15.24/15.61 X := X
% 15.24/15.61 Y := skol20
% 15.24/15.61 Z := skol23
% 15.24/15.61 end
% 15.24/15.61 permutation0:
% 15.24/15.61 0 ==> 0
% 15.24/15.61 1 ==> 0
% 15.24/15.61 2 ==> 2
% 15.24/15.61 end
% 15.24/15.61
% 15.24/15.61 factor: (57463) {G17,W8,D2,L2,V1,M2} { ! midp( skol20, X, skol23 ), ! coll
% 15.24/15.61 ( skol22, X, skol24 ) }.
% 15.24/15.61 parent0[0, 1]: (56790) {G17,W12,D2,L3,V3,M3} R(1116,45);r(56633) { ! midp(
% 15.24/15.61 skol20, X, skol23 ), ! midp( Y, X, Z ), ! coll( skol22, X, skol24 ) }.
% 15.24/15.61 substitution0:
% 15.24/15.61 X := X
% 15.24/15.61 Y := skol20
% 15.24/15.61 Z := skol23
% 15.24/15.61 end
% 15.24/15.61
% 15.24/15.61 resolution: (57464) {G18,W4,D2,L1,V1,M1} { ! midp( skol20, X, skol23 ) }.
% 15.24/15.61 parent0[1]: (57463) {G17,W8,D2,L2,V1,M2} { ! midp( skol20, X, skol23 ), !
% 15.24/15.61 coll( skol22, X, skol24 ) }.
% 15.24/15.61 parent1[0]: (56768) {G18,W4,D2,L1,V3,M1} R(56716,206);r(56716) { coll( Z, X
% 15.24/15.61 , Y ) }.
% 15.24/15.61 substitution0:
% 15.24/15.61 X := X
% 15.24/15.61 end
% 15.24/15.61 substitution1:
% 15.24/15.61 X := X
% 15.24/15.61 Y := skol24
% 15.24/15.61 Z := skol22
% 15.24/15.61 end
% 15.24/15.61
% 15.24/15.61 subsumption: (56795) {G19,W4,D2,L1,V1,M1} F(56790);r(56768) { ! midp(
% 15.24/15.61 skol20, X, skol23 ) }.
% 15.24/15.61 parent0: (57464) {G18,W4,D2,L1,V1,M1} { ! midp( skol20, X, skol23 ) }.
% 15.24/15.61 substitution0:
% 15.24/15.61 X := X
% 15.24/15.61 end
% 15.24/15.61 permutation0:
% 15.24/15.61 0 ==> 0
% 15.24/15.61 end
% 15.24/15.61
% 15.24/15.61 resolution: (57465) {G19,W0,D0,L0,V0,M0} { }.
% 15.24/15.61 parent0[0]: (56795) {G19,W4,D2,L1,V1,M1} F(56790);r(56768) { ! midp( skol20
% 15.24/15.61 , X, skol23 ) }.
% 15.24/15.61 parent1[0]: (56731) {G18,W4,D2,L1,V2,M1} R(56715,67);r(56579) { midp( X, Y
% 15.24/15.61 , Y ) }.
% 15.24/15.61 substitution0:
% 15.24/15.61 X := skol23
% 15.24/15.61 end
% 15.24/15.61 substitution1:
% 15.24/15.61 X := skol20
% 15.24/15.61 Y := skol23
% 15.24/15.61 end
% 15.24/15.61
% 15.24/15.61 subsumption: (56796) {G20,W0,D0,L0,V0,M0} R(56795,56731) { }.
% 15.24/15.61 parent0: (57465) {G19,W0,D0,L0,V0,M0} { }.
% 15.24/15.61 substitution0:
% 15.24/15.61 end
% 15.24/15.61 permutation0:
% 15.24/15.61 end
% 15.24/15.61
% 15.24/15.61 Proof check complete!
% 15.24/15.61
% 15.24/15.61 Memory use:
% 15.24/15.61
% 15.24/15.61 space for terms: 780115
% 15.24/15.61 space for clauses: 2555312
% 15.24/15.61
% 15.24/15.61
% 15.24/15.61 clauses generated: 440932
% 15.24/15.61 clauses kept: 56797
% 15.24/15.61 clauses selected: 3929
% 15.24/15.61 clauses deleted: 3318
% 15.24/15.61 clauses inuse deleted: 222
% 15.24/15.61
% 15.24/15.61 subsentry: 12568206
% 15.24/15.61 literals s-matched: 7755199
% 15.24/15.61 literals matched: 4044914
% 15.24/15.61 full subsumption: 1324502
% 15.24/15.61
% 15.24/15.61 checksum: -2090548143
% 15.24/15.61
% 15.24/15.61
% 15.24/15.61 Bliksem ended
%------------------------------------------------------------------------------