TSTP Solution File: GEO612+1 by Bliksem---1.12
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : GEO612+1 : TPTP v8.1.0. Released v7.5.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n010.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 0s
% DateTime : Sat Jul 16 02:55:06 EDT 2022
% Result : Theorem 7.36s 7.73s
% Output : Refutation 7.36s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : GEO612+1 : TPTP v8.1.0. Released v7.5.0.
% 0.07/0.13 % Command : bliksem %s
% 0.13/0.35 % Computer : n010.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % DateTime : Fri Jun 17 18:33:23 EDT 2022
% 0.13/0.35 % CPUTime :
% 0.45/1.15 *** allocated 10000 integers for termspace/termends
% 0.45/1.15 *** allocated 10000 integers for clauses
% 0.45/1.15 *** allocated 10000 integers for justifications
% 0.45/1.15 Bliksem 1.12
% 0.45/1.15
% 0.45/1.15
% 0.45/1.15 Automatic Strategy Selection
% 0.45/1.15
% 0.45/1.15 *** allocated 15000 integers for termspace/termends
% 0.45/1.15
% 0.45/1.15 Clauses:
% 0.45/1.15
% 0.45/1.15 { ! coll( X, Y, Z ), coll( X, Z, Y ) }.
% 0.45/1.15 { ! coll( X, Y, Z ), coll( Y, X, Z ) }.
% 0.45/1.15 { ! coll( X, T, Y ), ! coll( X, T, Z ), coll( Y, Z, X ) }.
% 0.45/1.15 { ! para( X, Y, Z, T ), para( X, Y, T, Z ) }.
% 0.45/1.15 { ! para( X, Y, Z, T ), para( Z, T, X, Y ) }.
% 0.45/1.15 { ! para( X, Y, U, W ), ! para( U, W, Z, T ), para( X, Y, Z, T ) }.
% 0.45/1.15 { ! perp( X, Y, Z, T ), perp( X, Y, T, Z ) }.
% 0.45/1.15 { ! perp( X, Y, Z, T ), perp( Z, T, X, Y ) }.
% 0.45/1.15 { ! perp( X, Y, U, W ), ! perp( U, W, Z, T ), para( X, Y, Z, T ) }.
% 0.45/1.15 { ! para( X, Y, U, W ), ! perp( U, W, Z, T ), perp( X, Y, Z, T ) }.
% 0.45/1.15 { ! midp( Z, Y, X ), midp( Z, X, Y ) }.
% 0.45/1.15 { ! cong( T, X, T, Y ), ! cong( T, X, T, Z ), circle( T, X, Y, Z ) }.
% 0.45/1.15 { ! cong( U, X, U, Y ), ! cong( U, X, U, Z ), ! cong( U, X, U, T ), cyclic
% 0.45/1.15 ( X, Y, Z, T ) }.
% 0.45/1.15 { ! cyclic( X, Y, Z, T ), cyclic( X, Y, T, Z ) }.
% 0.45/1.15 { ! cyclic( X, Y, Z, T ), cyclic( X, Z, Y, T ) }.
% 0.45/1.15 { ! cyclic( X, Y, Z, T ), cyclic( Y, X, Z, T ) }.
% 0.45/1.15 { ! cyclic( U, X, Y, Z ), ! cyclic( U, X, Y, T ), cyclic( X, Y, Z, T ) }.
% 0.45/1.15 { ! eqangle( X, Y, Z, T, U, W, V0, V1 ), eqangle( Y, X, Z, T, U, W, V0, V1
% 0.45/1.15 ) }.
% 0.45/1.15 { ! eqangle( X, Y, Z, T, U, W, V0, V1 ), eqangle( Z, T, X, Y, V0, V1, U, W
% 0.45/1.15 ) }.
% 0.45/1.15 { ! eqangle( X, Y, Z, T, U, W, V0, V1 ), eqangle( U, W, V0, V1, X, Y, Z, T
% 0.45/1.15 ) }.
% 0.45/1.15 { ! eqangle( X, Y, Z, T, U, W, V0, V1 ), eqangle( X, Y, U, W, Z, T, V0, V1
% 0.45/1.15 ) }.
% 0.45/1.15 { ! eqangle( X, Y, Z, T, V2, V3, V4, V5 ), ! eqangle( V2, V3, V4, V5, U, W
% 0.45/1.15 , V0, V1 ), eqangle( X, Y, Z, T, U, W, V0, V1 ) }.
% 0.45/1.15 { ! cong( X, Y, Z, T ), cong( X, Y, T, Z ) }.
% 0.45/1.15 { ! cong( X, Y, Z, T ), cong( Z, T, X, Y ) }.
% 0.45/1.15 { ! cong( X, Y, U, W ), ! cong( U, W, Z, T ), cong( X, Y, Z, T ) }.
% 0.45/1.15 { ! eqratio( X, Y, Z, T, U, W, V0, V1 ), eqratio( Y, X, Z, T, U, W, V0, V1
% 0.45/1.15 ) }.
% 0.45/1.15 { ! eqratio( X, Y, Z, T, U, W, V0, V1 ), eqratio( Z, T, X, Y, V0, V1, U, W
% 0.45/1.15 ) }.
% 0.45/1.15 { ! eqratio( X, Y, Z, T, U, W, V0, V1 ), eqratio( U, W, V0, V1, X, Y, Z, T
% 0.45/1.15 ) }.
% 0.45/1.15 { ! eqratio( X, Y, Z, T, U, W, V0, V1 ), eqratio( X, Y, U, W, Z, T, V0, V1
% 0.45/1.15 ) }.
% 0.45/1.15 { ! eqratio( X, Y, Z, T, V2, V3, V4, V5 ), ! eqratio( V2, V3, V4, V5, U, W
% 0.45/1.15 , V0, V1 ), eqratio( X, Y, Z, T, U, W, V0, V1 ) }.
% 0.45/1.15 { ! simtri( X, Z, Y, T, W, U ), simtri( X, Y, Z, T, U, W ) }.
% 0.45/1.15 { ! simtri( Y, X, Z, U, T, W ), simtri( X, Y, Z, T, U, W ) }.
% 0.45/1.15 { ! simtri( T, U, W, X, Y, Z ), simtri( X, Y, Z, T, U, W ) }.
% 0.45/1.15 { ! simtri( X, Y, Z, V0, V1, V2 ), ! simtri( V0, V1, V2, T, U, W ), simtri
% 0.45/1.15 ( X, Y, Z, T, U, W ) }.
% 0.45/1.15 { ! contri( X, Z, Y, T, W, U ), contri( X, Y, Z, T, U, W ) }.
% 0.45/1.15 { ! contri( Y, X, Z, U, T, W ), contri( X, Y, Z, T, U, W ) }.
% 0.45/1.15 { ! contri( T, U, W, X, Y, Z ), contri( X, Y, Z, T, U, W ) }.
% 0.45/1.15 { ! contri( X, Y, Z, V0, V1, V2 ), ! contri( V0, V1, V2, T, U, W ), contri
% 0.45/1.15 ( X, Y, Z, T, U, W ) }.
% 0.45/1.15 { ! eqangle( X, Y, U, W, Z, T, U, W ), para( X, Y, Z, T ) }.
% 0.45/1.15 { ! para( X, Y, Z, T ), eqangle( X, Y, U, W, Z, T, U, W ) }.
% 0.45/1.15 { ! cyclic( X, Y, Z, T ), eqangle( Z, X, Z, Y, T, X, T, Y ) }.
% 0.45/1.15 { ! eqangle( Z, X, Z, Y, T, X, T, Y ), coll( Z, T, X ), cyclic( X, Y, Z, T
% 0.45/1.15 ) }.
% 0.45/1.15 { ! eqangle( Z, X, Z, Y, T, X, T, Y ), ! coll( Z, T, Y ), cyclic( X, Y, Z,
% 0.45/1.15 T ) }.
% 0.45/1.15 { ! cyclic( X, Y, U, Z ), ! cyclic( X, Y, U, T ), ! cyclic( X, Y, U, W ), !
% 0.45/1.15 eqangle( U, X, U, Y, W, Z, W, T ), cong( X, Y, Z, T ) }.
% 0.45/1.15 { ! midp( Z, U, X ), ! midp( T, U, Y ), para( Z, T, X, Y ) }.
% 0.45/1.15 { ! midp( U, X, T ), ! para( U, Z, T, Y ), ! coll( Z, X, Y ), midp( Z, X, Y
% 0.45/1.15 ) }.
% 0.45/1.15 { ! cong( Z, X, Z, Y ), eqangle( Z, X, X, Y, X, Y, Z, Y ) }.
% 0.45/1.15 { ! eqangle( Z, X, X, Y, X, Y, Z, Y ), coll( Z, X, Y ), cong( Z, X, Z, Y )
% 0.45/1.15 }.
% 0.45/1.15 { ! circle( U, X, Y, Z ), ! perp( U, X, X, T ), eqangle( X, T, X, Y, Z, X,
% 0.45/1.15 Z, Y ) }.
% 0.45/1.15 { ! circle( Y, X, T, U ), ! eqangle( X, Z, X, T, U, X, U, T ), perp( Y, X,
% 0.45/1.15 X, Z ) }.
% 0.45/1.15 { ! circle( T, X, Y, Z ), ! midp( U, Y, Z ), eqangle( X, Y, X, Z, T, Y, T,
% 0.45/1.15 U ) }.
% 0.45/1.15 { ! circle( U, T, X, Y ), ! coll( Z, X, Y ), ! eqangle( T, X, T, Y, U, X, U
% 0.45/1.15 , Z ), midp( Z, X, Y ) }.
% 0.45/1.15 { ! perp( X, Y, Y, T ), ! midp( Z, X, T ), cong( X, Z, Y, Z ) }.
% 0.45/1.15 { ! circle( T, X, Y, Z ), ! coll( T, X, Z ), perp( X, Y, Y, Z ) }.
% 0.45/1.15 { ! cyclic( X, Y, Z, T ), ! para( X, Y, Z, T ), eqangle( X, T, Z, T, Z, T,
% 0.45/1.15 Z, Y ) }.
% 0.45/1.15 { ! midp( T, X, Y ), ! perp( Z, T, X, Y ), cong( Z, X, Z, Y ) }.
% 0.45/1.15 { ! cong( X, Z, Y, Z ), ! cong( X, T, Y, T ), perp( X, Y, Z, T ) }.
% 0.45/1.15 { ! cong( X, Y, T, Y ), ! cong( X, Z, T, Z ), ! cyclic( X, T, Y, Z ), perp
% 0.45/1.15 ( Y, X, X, Z ) }.
% 0.45/1.15 { ! eqangle( X, Y, Y, Z, T, U, U, W ), ! eqangle( X, Z, Y, Z, T, W, U, W )
% 0.45/1.15 , coll( X, Y, Z ), simtri( X, Y, Z, T, U, W ) }.
% 0.45/1.15 { ! simtri( X, Y, Z, T, U, W ), eqratio( X, Y, X, Z, T, U, T, W ) }.
% 0.45/1.15 { ! simtri( X, Y, Z, T, U, W ), eqangle( X, Y, Y, Z, T, U, U, W ) }.
% 0.45/1.15 { ! simtri( X, Y, Z, T, U, W ), ! cong( X, Y, T, U ), contri( X, Y, Z, T, U
% 0.45/1.15 , W ) }.
% 0.45/1.15 { ! contri( X, Y, U, Z, T, W ), cong( X, Y, Z, T ) }.
% 0.45/1.15 { ! midp( U, X, Y ), ! midp( U, Z, T ), para( X, Z, Y, T ) }.
% 0.45/1.15 { ! midp( Z, T, U ), ! para( T, X, U, Y ), ! para( T, Y, U, X ), midp( Z, X
% 0.45/1.15 , Y ) }.
% 0.45/1.15 { ! para( X, Y, Z, T ), ! coll( U, X, Z ), ! coll( U, Y, T ), eqratio( U, X
% 0.45/1.15 , X, Z, U, Y, Y, T ) }.
% 0.45/1.15 { ! para( X, Y, X, Z ), coll( X, Y, Z ) }.
% 0.45/1.15 { ! cong( X, Y, X, Z ), ! coll( X, Y, Z ), midp( X, Y, Z ) }.
% 0.45/1.15 { ! midp( X, Y, Z ), cong( X, Y, X, Z ) }.
% 0.45/1.15 { ! midp( X, Y, Z ), coll( X, Y, Z ) }.
% 0.45/1.15 { ! midp( U, X, Y ), ! midp( W, Z, T ), eqratio( U, X, X, Y, W, Z, Z, T ) }
% 0.45/1.15 .
% 0.45/1.15 { ! eqangle( X, Y, Z, T, Z, T, X, Y ), para( X, Y, Z, T ), perp( X, Y, Z, T
% 0.45/1.15 ) }.
% 0.45/1.15 { ! eqangle( X, Y, Z, T, Z, T, X, Y ), perp( X, Y, Z, T ), para( X, Y, Z, T
% 0.45/1.15 ) }.
% 0.45/1.15 { ! eqangle( X, Y, Z, T, U, W, V0, V1 ), ! para( U, W, V0, V1 ), para( X, Y
% 0.45/1.15 , Z, T ) }.
% 0.45/1.15 { ! eqangle( X, Y, Z, T, U, W, V0, V1 ), ! perp( U, W, V0, V1 ), perp( X, Y
% 0.45/1.15 , Z, T ) }.
% 0.45/1.15 { ! eqratio( X, Y, Z, T, U, W, V0, V1 ), ! cong( U, W, V0, V1 ), cong( X, Y
% 0.45/1.15 , Z, T ) }.
% 0.45/1.15 { ! perp( Z, Y, Y, X ), ! eqangle( T, Z, Y, Z, Y, Z, X, Z ), coll( skol1( U
% 0.45/1.15 , W, Z, T ), Z, T ) }.
% 0.45/1.15 { ! perp( Z, Y, Y, X ), ! eqangle( T, Z, Y, Z, Y, Z, X, Z ), coll( skol1( X
% 0.45/1.15 , Y, Z, T ), X, Y ) }.
% 0.45/1.15 { ! cong( Z, X, Z, Y ), ! eqangle( X, Z, Z, T, Z, T, Z, Y ), coll( skol2( U
% 0.45/1.15 , W, Z, T ), Z, T ) }.
% 0.45/1.15 { ! cong( Z, X, Z, Y ), ! eqangle( X, Z, Z, T, Z, T, Z, Y ), coll( Y, X,
% 0.45/1.15 skol2( X, Y, Z, T ) ) }.
% 0.45/1.15 { ! perp( Z, T, X, Y ), ! eqangle( X, Z, Z, T, Z, T, Z, Y ), coll( skol3( U
% 0.45/1.15 , W, Z, T ), Z, T ) }.
% 0.45/1.15 { ! perp( Z, T, X, Y ), ! eqangle( X, Z, Z, T, Z, T, Z, Y ), coll( Y, X,
% 0.45/1.15 skol3( X, Y, Z, T ) ) }.
% 0.45/1.15 { ! perp( Z, T, X, Y ), ! cong( Z, X, Z, Y ), coll( skol4( U, W, Z, T ), Z
% 0.45/1.15 , T ) }.
% 0.45/1.15 { ! perp( Z, T, X, Y ), ! cong( Z, X, Z, Y ), coll( Y, X, skol4( X, Y, Z, T
% 0.45/1.15 ) ) }.
% 0.45/1.15 { ! eqangle( X, Z, Y, Z, X, T, Y, U ), coll( X, Y, Z ), cyclic( T, Y, Z,
% 0.45/1.15 skol5( W, Y, Z, T ) ) }.
% 0.45/1.15 { ! eqangle( X, Z, Y, Z, X, T, Y, U ), coll( X, Y, Z ), eqangle( X, Z, Y, Z
% 0.45/1.15 , X, skol5( X, Y, Z, T ), Y, skol5( X, Y, Z, T ) ) }.
% 0.45/1.15 { ! midp( U, X, Y ), ! midp( W, Z, T ), midp( skol6( X, V0, V1, T, V2, V3 )
% 0.45/1.15 , X, T ) }.
% 0.45/1.15 { ! midp( U, X, Y ), ! midp( W, Z, T ), para( skol6( X, V0, Z, T, V1, W ),
% 0.45/1.15 W, X, Z ) }.
% 0.45/1.15 { ! midp( U, X, Y ), ! midp( W, Z, T ), para( skol6( X, Y, Z, T, U, W ), U
% 0.45/1.15 , Y, T ) }.
% 0.45/1.15 { ! midp( Z, X, Y ), ! midp( W, T, U ), ! coll( T, X, Y ), ! coll( U, X, Y
% 0.45/1.15 ), midp( skol7( X, V0 ), X, V0 ) }.
% 0.45/1.15 { ! midp( T, X, U ), ! para( X, W, Z, T ), ! para( X, W, U, Y ), ! coll( W
% 0.45/1.15 , Y, Z ), coll( skol8( V0, V1, Z, T ), T, Z ) }.
% 0.45/1.15 { ! midp( T, X, U ), ! para( X, W, Z, T ), ! para( X, W, U, Y ), ! coll( W
% 0.45/1.15 , Y, Z ), coll( skol8( X, Y, Z, T ), X, Y ) }.
% 0.45/1.15 { ! cong( T, Z, T, U ), ! perp( X, Y, Y, T ), cong( T, Z, T, skol9( W, V0,
% 0.45/1.15 Z, T ) ) }.
% 0.45/1.15 { ! cong( T, Z, T, U ), ! perp( X, Y, Y, T ), cong( Y, Z, Y, skol9( W, Y, Z
% 0.45/1.15 , T ) ) }.
% 0.45/1.15 { ! cong( T, Z, T, U ), ! perp( X, Y, Y, T ), para( skol9( X, Y, Z, T ), Z
% 0.45/1.15 , X, Y ) }.
% 0.45/1.15 { ! perp( X, T, Y, Z ), ! perp( Y, T, X, Z ), coll( skol10( U, Y, Z ), Z, Y
% 0.45/1.15 ) }.
% 0.45/1.15 { ! perp( X, T, Y, Z ), ! perp( Y, T, X, Z ), perp( X, skol10( X, Y, Z ), Z
% 0.45/1.15 , Y ) }.
% 0.45/1.15 { ! perp( X, T, Y, Z ), ! perp( Y, T, X, Z ), alpha1( X, Y, Z ) }.
% 0.45/1.15 { ! alpha1( X, Y, Z ), coll( skol11( X, T, Z ), Z, X ) }.
% 0.45/1.15 { ! alpha1( X, Y, Z ), perp( Y, skol11( X, Y, Z ), Z, X ) }.
% 0.45/1.15 { ! coll( T, Z, X ), ! perp( Y, T, Z, X ), alpha1( X, Y, Z ) }.
% 0.45/1.15 { ! circle( Y, X, Z, T ), perp( skol12( X, Y ), X, X, Y ) }.
% 3.56/3.96 { ! circle( W, X, Y, Z ), ! cong( W, X, W, T ), ! cong( U, X, U, Y ), W = U
% 3.56/3.96 , alpha2( X, Z, U, skol13( X, V0, Z, V1, U ) ) }.
% 3.56/3.96 { ! circle( W, X, Y, Z ), ! cong( W, X, W, T ), ! cong( U, X, U, Y ), W = U
% 3.56/3.96 , coll( skol21( V0, Y, T, V1 ), Y, T ) }.
% 3.56/3.96 { ! circle( W, X, Y, Z ), ! cong( W, X, W, T ), ! cong( U, X, U, Y ), W = U
% 3.56/3.96 , cong( skol21( X, Y, T, U ), U, U, X ) }.
% 3.56/3.96 { ! alpha2( X, Y, Z, T ), coll( T, X, Y ) }.
% 3.56/3.96 { ! alpha2( X, Y, Z, T ), cong( T, Z, Z, X ) }.
% 3.56/3.96 { ! coll( T, X, Y ), ! cong( T, Z, Z, X ), alpha2( X, Y, Z, T ) }.
% 3.56/3.96 { ! cyclic( X, Y, Z, T ), ! para( X, Y, Z, T ), ! midp( U, X, Y ), circle(
% 3.56/3.96 skol14( X, Y, Z ), X, Y, Z ) }.
% 3.56/3.96 { ! perp( X, Z, Z, Y ), ! cyclic( X, Y, Z, T ), circle( skol15( X, Y, Z ),
% 3.56/3.96 X, Y, Z ) }.
% 3.56/3.96 { ! perp( X, U, U, T ), ! coll( T, Y, Z ), coll( skol16( W, Y, Z ), Y, Z )
% 3.56/3.96 }.
% 3.56/3.96 { ! perp( X, U, U, T ), ! coll( T, Y, Z ), perp( skol16( X, Y, Z ), X, Y, Z
% 3.56/3.96 ) }.
% 3.56/3.96 { ! perp( X, Z, X, Y ), ! perp( Y, X, Y, T ), ! midp( U, Z, T ), midp(
% 3.56/3.96 skol17( X, Y ), X, Y ) }.
% 3.56/3.96 { ! cong( Y, X, Y, Z ), ! perp( X, Y, Y, Z ), coll( X, Y, skol18( X, Y ) )
% 3.56/3.96 }.
% 3.56/3.96 { ! cong( Y, X, Y, Z ), ! perp( X, Y, Y, Z ), cong( Y, X, Y, skol18( X, Y )
% 3.56/3.96 ) }.
% 3.56/3.96 { ! para( U, W, X, Y ), ! coll( Z, U, X ), ! coll( Z, W, Y ), ! coll( T, U
% 3.56/3.96 , W ), coll( Z, T, skol19( V0, V1, Z, T ) ) }.
% 3.56/3.96 { ! para( U, W, X, Y ), ! coll( Z, U, X ), ! coll( Z, W, Y ), ! coll( T, U
% 3.56/3.96 , W ), coll( skol19( X, Y, Z, T ), X, Y ) }.
% 3.56/3.96 { circle( skol26, skol20, skol22, skol25 ) }.
% 3.56/3.96 { perp( skol27, skol25, skol20, skol22 ) }.
% 3.56/3.96 { coll( skol27, skol20, skol22 ) }.
% 3.56/3.96 { circle( skol26, skol25, skol28, skol29 ) }.
% 3.56/3.96 { coll( skol28, skol25, skol27 ) }.
% 3.56/3.96 { perp( skol23, skol28, skol20, skol25 ) }.
% 3.56/3.96 { coll( skol23, skol20, skol25 ) }.
% 3.56/3.96 { perp( skol24, skol28, skol22, skol25 ) }.
% 3.56/3.96 { coll( skol24, skol22, skol25 ) }.
% 3.56/3.96 { ! cyclic( skol20, skol23, skol24, skol22 ) }.
% 3.56/3.96
% 3.56/3.96 percentage equality = 0.008721, percentage horn = 0.928571
% 3.56/3.96 This is a problem with some equality
% 3.56/3.96
% 3.56/3.96
% 3.56/3.96
% 3.56/3.96 Options Used:
% 3.56/3.96
% 3.56/3.96 useres = 1
% 3.56/3.96 useparamod = 1
% 3.56/3.96 useeqrefl = 1
% 3.56/3.96 useeqfact = 1
% 3.56/3.96 usefactor = 1
% 3.56/3.96 usesimpsplitting = 0
% 3.56/3.96 usesimpdemod = 5
% 3.56/3.96 usesimpres = 3
% 3.56/3.96
% 3.56/3.96 resimpinuse = 1000
% 3.56/3.96 resimpclauses = 20000
% 3.56/3.96 substype = eqrewr
% 3.56/3.96 backwardsubs = 1
% 3.56/3.96 selectoldest = 5
% 3.56/3.96
% 3.56/3.96 litorderings [0] = split
% 3.56/3.96 litorderings [1] = extend the termordering, first sorting on arguments
% 3.56/3.96
% 3.56/3.96 termordering = kbo
% 3.56/3.96
% 3.56/3.96 litapriori = 0
% 3.56/3.96 termapriori = 1
% 3.56/3.96 litaposteriori = 0
% 3.56/3.96 termaposteriori = 0
% 3.56/3.96 demodaposteriori = 0
% 3.56/3.96 ordereqreflfact = 0
% 3.56/3.96
% 3.56/3.96 litselect = negord
% 3.56/3.96
% 3.56/3.96 maxweight = 15
% 3.56/3.96 maxdepth = 30000
% 3.56/3.96 maxlength = 115
% 3.56/3.96 maxnrvars = 195
% 3.56/3.96 excuselevel = 1
% 3.56/3.96 increasemaxweight = 1
% 3.56/3.96
% 3.56/3.96 maxselected = 10000000
% 3.56/3.96 maxnrclauses = 10000000
% 3.56/3.96
% 3.56/3.96 showgenerated = 0
% 3.56/3.96 showkept = 0
% 3.56/3.96 showselected = 0
% 3.56/3.96 showdeleted = 0
% 3.56/3.96 showresimp = 1
% 3.56/3.96 showstatus = 2000
% 3.56/3.96
% 3.56/3.96 prologoutput = 0
% 3.56/3.96 nrgoals = 5000000
% 3.56/3.96 totalproof = 1
% 3.56/3.96
% 3.56/3.96 Symbols occurring in the translation:
% 3.56/3.96
% 3.56/3.96 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 3.56/3.96 . [1, 2] (w:1, o:39, a:1, s:1, b:0),
% 3.56/3.96 ! [4, 1] (w:0, o:34, a:1, s:1, b:0),
% 3.56/3.96 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 3.56/3.96 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 3.56/3.96 coll [38, 3] (w:1, o:67, a:1, s:1, b:0),
% 3.56/3.96 para [40, 4] (w:1, o:75, a:1, s:1, b:0),
% 3.56/3.96 perp [43, 4] (w:1, o:76, a:1, s:1, b:0),
% 3.56/3.96 midp [45, 3] (w:1, o:68, a:1, s:1, b:0),
% 3.56/3.96 cong [47, 4] (w:1, o:77, a:1, s:1, b:0),
% 3.56/3.96 circle [48, 4] (w:1, o:78, a:1, s:1, b:0),
% 3.56/3.96 cyclic [49, 4] (w:1, o:79, a:1, s:1, b:0),
% 3.56/3.96 eqangle [54, 8] (w:1, o:94, a:1, s:1, b:0),
% 3.56/3.96 eqratio [57, 8] (w:1, o:95, a:1, s:1, b:0),
% 3.56/3.96 simtri [59, 6] (w:1, o:91, a:1, s:1, b:0),
% 3.56/3.96 contri [60, 6] (w:1, o:92, a:1, s:1, b:0),
% 3.56/3.96 alpha1 [65, 3] (w:1, o:69, a:1, s:1, b:1),
% 3.56/3.96 alpha2 [66, 4] (w:1, o:80, a:1, s:1, b:1),
% 3.56/3.96 skol1 [67, 4] (w:1, o:81, a:1, s:1, b:1),
% 3.56/3.96 skol2 [68, 4] (w:1, o:83, a:1, s:1, b:1),
% 3.56/3.96 skol3 [69, 4] (w:1, o:85, a:1, s:1, b:1),
% 3.56/3.96 skol4 [70, 4] (w:1, o:86, a:1, s:1, b:1),
% 3.56/3.96 skol5 [71, 4] (w:1, o:87, a:1, s:1, b:1),
% 3.56/3.96 skol6 [72, 6] (w:1, o:93, a:1, s:1, b:1),
% 7.36/7.73 skol7 [73, 2] (w:1, o:63, a:1, s:1, b:1),
% 7.36/7.73 skol8 [74, 4] (w:1, o:88, a:1, s:1, b:1),
% 7.36/7.73 skol9 [75, 4] (w:1, o:89, a:1, s:1, b:1),
% 7.36/7.73 skol10 [76, 3] (w:1, o:70, a:1, s:1, b:1),
% 7.36/7.73 skol11 [77, 3] (w:1, o:71, a:1, s:1, b:1),
% 7.36/7.73 skol12 [78, 2] (w:1, o:64, a:1, s:1, b:1),
% 7.36/7.73 skol13 [79, 5] (w:1, o:90, a:1, s:1, b:1),
% 7.36/7.73 skol14 [80, 3] (w:1, o:72, a:1, s:1, b:1),
% 7.36/7.73 skol15 [81, 3] (w:1, o:73, a:1, s:1, b:1),
% 7.36/7.73 skol16 [82, 3] (w:1, o:74, a:1, s:1, b:1),
% 7.36/7.73 skol17 [83, 2] (w:1, o:65, a:1, s:1, b:1),
% 7.36/7.73 skol18 [84, 2] (w:1, o:66, a:1, s:1, b:1),
% 7.36/7.73 skol19 [85, 4] (w:1, o:82, a:1, s:1, b:1),
% 7.36/7.73 skol20 [86, 0] (w:1, o:25, a:1, s:1, b:1),
% 7.36/7.73 skol21 [87, 4] (w:1, o:84, a:1, s:1, b:1),
% 7.36/7.73 skol22 [88, 0] (w:1, o:26, a:1, s:1, b:1),
% 7.36/7.73 skol23 [89, 0] (w:1, o:27, a:1, s:1, b:1),
% 7.36/7.73 skol24 [90, 0] (w:1, o:28, a:1, s:1, b:1),
% 7.36/7.73 skol25 [91, 0] (w:1, o:29, a:1, s:1, b:1),
% 7.36/7.73 skol26 [92, 0] (w:1, o:30, a:1, s:1, b:1),
% 7.36/7.73 skol27 [93, 0] (w:1, o:31, a:1, s:1, b:1),
% 7.36/7.73 skol28 [94, 0] (w:1, o:32, a:1, s:1, b:1),
% 7.36/7.73 skol29 [95, 0] (w:1, o:33, a:1, s:1, b:1).
% 7.36/7.73
% 7.36/7.73
% 7.36/7.73 Starting Search:
% 7.36/7.73
% 7.36/7.73 *** allocated 15000 integers for clauses
% 7.36/7.73 *** allocated 22500 integers for clauses
% 7.36/7.73 *** allocated 33750 integers for clauses
% 7.36/7.73 *** allocated 50625 integers for clauses
% 7.36/7.73 *** allocated 22500 integers for termspace/termends
% 7.36/7.73 *** allocated 75937 integers for clauses
% 7.36/7.73 Resimplifying inuse:
% 7.36/7.73 Done
% 7.36/7.73
% 7.36/7.73 *** allocated 33750 integers for termspace/termends
% 7.36/7.73 *** allocated 113905 integers for clauses
% 7.36/7.73 *** allocated 50625 integers for termspace/termends
% 7.36/7.73
% 7.36/7.73 Intermediate Status:
% 7.36/7.73 Generated: 8673
% 7.36/7.73 Kept: 2009
% 7.36/7.73 Inuse: 317
% 7.36/7.73 Deleted: 0
% 7.36/7.73 Deletedinuse: 0
% 7.36/7.73
% 7.36/7.73 Resimplifying inuse:
% 7.36/7.73 Done
% 7.36/7.73
% 7.36/7.73 *** allocated 170857 integers for clauses
% 7.36/7.73 *** allocated 75937 integers for termspace/termends
% 7.36/7.73 Resimplifying inuse:
% 7.36/7.73 Done
% 7.36/7.73
% 7.36/7.73 *** allocated 256285 integers for clauses
% 7.36/7.73 *** allocated 113905 integers for termspace/termends
% 7.36/7.73
% 7.36/7.73 Intermediate Status:
% 7.36/7.73 Generated: 27617
% 7.36/7.73 Kept: 4032
% 7.36/7.73 Inuse: 470
% 7.36/7.73 Deleted: 1
% 7.36/7.73 Deletedinuse: 1
% 7.36/7.73
% 7.36/7.73 Resimplifying inuse:
% 7.36/7.73 Done
% 7.36/7.73
% 7.36/7.73 *** allocated 384427 integers for clauses
% 7.36/7.73 Resimplifying inuse:
% 7.36/7.73 Done
% 7.36/7.73
% 7.36/7.73 *** allocated 170857 integers for termspace/termends
% 7.36/7.73
% 7.36/7.73 Intermediate Status:
% 7.36/7.73 Generated: 39028
% 7.36/7.73 Kept: 6072
% 7.36/7.73 Inuse: 531
% 7.36/7.73 Deleted: 1
% 7.36/7.73 Deletedinuse: 1
% 7.36/7.73
% 7.36/7.73 Resimplifying inuse:
% 7.36/7.73 Done
% 7.36/7.73
% 7.36/7.73 Resimplifying inuse:
% 7.36/7.73 Done
% 7.36/7.73
% 7.36/7.73 *** allocated 576640 integers for clauses
% 7.36/7.73
% 7.36/7.73 Intermediate Status:
% 7.36/7.73 Generated: 55605
% 7.36/7.73 Kept: 8109
% 7.36/7.73 Inuse: 685
% 7.36/7.73 Deleted: 2
% 7.36/7.73 Deletedinuse: 1
% 7.36/7.73
% 7.36/7.73 Resimplifying inuse:
% 7.36/7.73 Done
% 7.36/7.73
% 7.36/7.73 *** allocated 256285 integers for termspace/termends
% 7.36/7.73 Resimplifying inuse:
% 7.36/7.73 Done
% 7.36/7.73
% 7.36/7.73
% 7.36/7.73 Intermediate Status:
% 7.36/7.73 Generated: 75099
% 7.36/7.73 Kept: 10117
% 7.36/7.73 Inuse: 797
% 7.36/7.73 Deleted: 10
% 7.36/7.73 Deletedinuse: 4
% 7.36/7.73
% 7.36/7.73 Resimplifying inuse:
% 7.36/7.73 Done
% 7.36/7.73
% 7.36/7.73 *** allocated 864960 integers for clauses
% 7.36/7.73 Resimplifying inuse:
% 7.36/7.73 Done
% 7.36/7.73
% 7.36/7.73
% 7.36/7.73 Intermediate Status:
% 7.36/7.73 Generated: 87163
% 7.36/7.73 Kept: 12397
% 7.36/7.73 Inuse: 860
% 7.36/7.73 Deleted: 14
% 7.36/7.73 Deletedinuse: 8
% 7.36/7.73
% 7.36/7.73 Resimplifying inuse:
% 7.36/7.73 Done
% 7.36/7.73
% 7.36/7.73 Resimplifying inuse:
% 7.36/7.73 Done
% 7.36/7.73
% 7.36/7.73
% 7.36/7.73 Intermediate Status:
% 7.36/7.73 Generated: 95902
% 7.36/7.73 Kept: 14421
% 7.36/7.73 Inuse: 924
% 7.36/7.73 Deleted: 16
% 7.36/7.73 Deletedinuse: 8
% 7.36/7.73
% 7.36/7.73 Resimplifying inuse:
% 7.36/7.73 Done
% 7.36/7.73
% 7.36/7.73 *** allocated 384427 integers for termspace/termends
% 7.36/7.73 Resimplifying inuse:
% 7.36/7.73 Done
% 7.36/7.73
% 7.36/7.73
% 7.36/7.73 Intermediate Status:
% 7.36/7.73 Generated: 108014
% 7.36/7.73 Kept: 16431
% 7.36/7.73 Inuse: 1030
% 7.36/7.73 Deleted: 16
% 7.36/7.73 Deletedinuse: 8
% 7.36/7.73
% 7.36/7.73 Resimplifying inuse:
% 7.36/7.73 Done
% 7.36/7.73
% 7.36/7.73 *** allocated 1297440 integers for clauses
% 7.36/7.73 Resimplifying inuse:
% 7.36/7.73 Done
% 7.36/7.73
% 7.36/7.73
% 7.36/7.73 Intermediate Status:
% 7.36/7.73 Generated: 123340
% 7.36/7.73 Kept: 18437
% 7.36/7.73 Inuse: 1194
% 7.36/7.73 Deleted: 16
% 7.36/7.73 Deletedinuse: 8
% 7.36/7.73
% 7.36/7.73 Resimplifying inuse:
% 7.36/7.73 Done
% 7.36/7.73
% 7.36/7.73 Resimplifying clauses:
% 7.36/7.73 Done
% 7.36/7.73
% 7.36/7.73 Resimplifying inuse:
% 7.36/7.73 Done
% 7.36/7.73
% 7.36/7.73
% 7.36/7.73 Intermediate Status:
% 7.36/7.73 Generated: 137952
% 7.36/7.73 Kept: 20479
% 7.36/7.73 Inuse: 1346
% 7.36/7.73 Deleted: 995
% 7.36/7.73 Deletedinuse: 8
% 7.36/7.73
% 7.36/7.73 Resimplifying inuse:
% 7.36/7.73 Done
% 7.36/7.73
% 7.36/7.73 Resimplifying inuse:
% 7.36/7.73 Done
% 7.36/7.73
% 7.36/7.73
% 7.36/7.73 Intermediate Status:
% 7.36/7.73 Generated: 150916
% 7.36/7.73 Kept: 22510
% 7.36/7.73 Inuse: 1461
% 7.36/7.73 Deleted: 995
% 7.36/7.73 Deletedinuse: 8
% 7.36/7.73
% 7.36/7.73 Resimplifying inuse:
% 7.36/7.73 Done
% 7.36/7.73
% 7.36/7.73 Resimplifying inuse:
% 7.36/7.73 Done
% 7.36/7.73
% 7.36/7.73
% 7.36/7.73 Intermediate Status:
% 7.36/7.73 Generated: 164403
% 7.36/7.73 Kept: 24522
% 7.36/7.73 Inuse: 1577
% 7.36/7.73 Deleted: 999
% 7.36/7.73 Deletedinuse: 12
% 7.36/7.73
% 7.36/7.73 Resimplifying inuse:
% 7.36/7.73 Done
% 7.36/7.73
% 7.36/7.73 *** allocated 576640 integers for termspace/termends
% 7.36/7.73 Resimplifying inuse:
% 7.36/7.73 Done
% 7.36/7.73
% 7.36/7.73
% 7.36/7.73 Intermediate Status:
% 7.36/7.73 Generated: 178881
% 7.36/7.73 Kept: 26528
% 7.36/7.73 Inuse: 1721
% 7.36/7.73 Deleted: 1008
% 7.36/7.73 Deletedinuse: 20
% 7.36/7.73
% 7.36/7.73 Resimplifying inuse:
% 7.36/7.73 Done
% 7.36/7.73
% 7.36/7.73 *** allocated 1946160 integers for clauses
% 7.36/7.73 Resimplifying inuse:
% 7.36/7.73 Done
% 7.36/7.73
% 7.36/7.73
% 7.36/7.73 Intermediate Status:
% 7.36/7.73 Generated: 191630
% 7.36/7.73 Kept: 28536
% 7.36/7.73 Inuse: 1844
% 7.36/7.73 Deleted: 1032
% 7.36/7.73 Deletedinuse: 44
% 7.36/7.73
% 7.36/7.73 Resimplifying inuse:
% 7.36/7.73 Done
% 7.36/7.73
% 7.36/7.73 Resimplifying inuse:
% 7.36/7.73 Done
% 7.36/7.73
% 7.36/7.73
% 7.36/7.73 Intermediate Status:
% 7.36/7.73 Generated: 208412
% 7.36/7.73 Kept: 30577
% 7.36/7.73 Inuse: 2000
% 7.36/7.73 Deleted: 1044
% 7.36/7.73 Deletedinuse: 56
% 7.36/7.73
% 7.36/7.73 Resimplifying inuse:
% 7.36/7.73 Done
% 7.36/7.73
% 7.36/7.73 Resimplifying inuse:
% 7.36/7.73 Done
% 7.36/7.73
% 7.36/7.73
% 7.36/7.73 Intermediate Status:
% 7.36/7.73 Generated: 226153
% 7.36/7.73 Kept: 32577
% 7.36/7.73 Inuse: 2158
% 7.36/7.73 Deleted: 1062
% 7.36/7.73 Deletedinuse: 74
% 7.36/7.73
% 7.36/7.73 Resimplifying inuse:
% 7.36/7.73 Done
% 7.36/7.73
% 7.36/7.73 Resimplifying inuse:
% 7.36/7.73 Done
% 7.36/7.73
% 7.36/7.73
% 7.36/7.73 Intermediate Status:
% 7.36/7.73 Generated: 244016
% 7.36/7.73 Kept: 34585
% 7.36/7.73 Inuse: 2342
% 7.36/7.73 Deleted: 1080
% 7.36/7.73 Deletedinuse: 92
% 7.36/7.73
% 7.36/7.73 Resimplifying inuse:
% 7.36/7.73 Done
% 7.36/7.73
% 7.36/7.73 Resimplifying inuse:
% 7.36/7.73 Done
% 7.36/7.73
% 7.36/7.73
% 7.36/7.73 Intermediate Status:
% 7.36/7.73 Generated: 264981
% 7.36/7.73 Kept: 36593
% 7.36/7.73 Inuse: 2567
% 7.36/7.73 Deleted: 1080
% 7.36/7.73 Deletedinuse: 92
% 7.36/7.73
% 7.36/7.73
% 7.36/7.73 Intermediate Status:
% 7.36/7.73 Generated: 273073
% 7.36/7.73 Kept: 39928
% 7.36/7.73 Inuse: 2600
% 7.36/7.73 Deleted: 1080
% 7.36/7.73 Deletedinuse: 92
% 7.36/7.73
% 7.36/7.73 Resimplifying inuse:
% 7.36/7.73 Done
% 7.36/7.73
% 7.36/7.73 *** allocated 864960 integers for termspace/termends
% 7.36/7.73 *** allocated 2919240 integers for clauses
% 7.36/7.73
% 7.36/7.73 Intermediate Status:
% 7.36/7.73 Generated: 277635
% 7.36/7.73 Kept: 42833
% 7.36/7.73 Inuse: 2605
% 7.36/7.73 Deleted: 1084
% 7.36/7.73 Deletedinuse: 96
% 7.36/7.73
% 7.36/7.73 Resimplifying inuse:
% 7.36/7.73 Done
% 7.36/7.73
% 7.36/7.73 Resimplifying clauses:
% 7.36/7.73 Done
% 7.36/7.73
% 7.36/7.73
% 7.36/7.73 Bliksems!, er is een bewijs:
% 7.36/7.73 % SZS status Theorem
% 7.36/7.73 % SZS output start Refutation
% 7.36/7.73
% 7.36/7.73 (0) {G0,W8,D2,L2,V3,M2} I { ! coll( X, Y, Z ), coll( X, Z, Y ) }.
% 7.36/7.73 (1) {G0,W8,D2,L2,V3,M2} I { ! coll( X, Y, Z ), coll( Y, X, Z ) }.
% 7.36/7.73 (2) {G0,W12,D2,L3,V4,M3} I { ! coll( X, T, Y ), ! coll( X, T, Z ), coll( Y
% 7.36/7.73 , Z, X ) }.
% 7.36/7.73 (6) {G0,W10,D2,L2,V4,M2} I { ! perp( X, Y, Z, T ), perp( X, Y, T, Z ) }.
% 7.36/7.73 (7) {G0,W10,D2,L2,V4,M2} I { ! perp( X, Y, Z, T ), perp( Z, T, X, Y ) }.
% 7.36/7.73 (8) {G0,W15,D2,L3,V6,M3} I { ! perp( X, Y, U, W ), ! perp( U, W, Z, T ),
% 7.36/7.73 para( X, Y, Z, T ) }.
% 7.36/7.73 (13) {G0,W10,D2,L2,V4,M2} I { ! cyclic( X, Y, Z, T ), cyclic( X, Y, T, Z )
% 7.36/7.73 }.
% 7.36/7.73 (14) {G0,W10,D2,L2,V4,M2} I { ! cyclic( X, Y, Z, T ), cyclic( X, Z, Y, T )
% 7.36/7.73 }.
% 7.36/7.73 (15) {G0,W10,D2,L2,V4,M2} I { ! cyclic( X, Y, Z, T ), cyclic( Y, X, Z, T )
% 7.36/7.73 }.
% 7.36/7.73 (16) {G0,W15,D2,L3,V5,M3} I { ! cyclic( U, X, Y, Z ), ! cyclic( U, X, Y, T
% 7.36/7.73 ), cyclic( X, Y, Z, T ) }.
% 7.36/7.73 (18) {G0,W18,D2,L2,V8,M2} I { ! eqangle( X, Y, Z, T, U, W, V0, V1 ),
% 7.36/7.73 eqangle( Z, T, X, Y, V0, V1, U, W ) }.
% 7.36/7.73 (39) {G0,W14,D2,L2,V6,M2} I { ! para( X, Y, Z, T ), eqangle( X, Y, U, W, Z
% 7.36/7.73 , T, U, W ) }.
% 7.36/7.73 (42) {G0,W18,D2,L3,V4,M3} I { ! eqangle( Z, X, Z, Y, T, X, T, Y ), ! coll(
% 7.36/7.73 Z, T, Y ), cyclic( X, Y, Z, T ) }.
% 7.36/7.73 (96) {G0,W14,D2,L3,V4,M3} I { ! perp( X, T, Y, Z ), ! perp( Y, T, X, Z ),
% 7.36/7.73 alpha1( X, Y, Z ) }.
% 7.36/7.73 (97) {G0,W11,D3,L2,V4,M2} I { ! alpha1( X, Y, Z ), coll( skol11( X, T, Z )
% 7.36/7.73 , Z, X ) }.
% 7.36/7.73 (100) {G0,W12,D3,L2,V4,M2} I { ! circle( Y, X, Z, T ), perp( skol12( X, Y )
% 7.36/7.73 , X, X, Y ) }.
% 7.36/7.73 (119) {G0,W5,D2,L1,V0,M1} I { circle( skol26, skol25, skol28, skol29 ) }.
% 7.36/7.73 (125) {G0,W5,D2,L1,V0,M1} I { ! cyclic( skol20, skol23, skol24, skol22 )
% 7.36/7.73 }.
% 7.36/7.73 (202) {G1,W12,D2,L3,V4,M3} R(2,0) { ! coll( X, Y, Z ), ! coll( X, Y, T ),
% 7.36/7.73 coll( Z, X, T ) }.
% 7.36/7.73 (211) {G2,W8,D2,L2,V3,M2} F(202) { ! coll( X, Y, Z ), coll( Z, X, Z ) }.
% 7.36/7.73 (259) {G1,W10,D2,L2,V4,M2} R(7,6) { perp( X, Y, Z, T ), ! perp( Z, T, Y, X
% 7.36/7.73 ) }.
% 7.36/7.73 (277) {G1,W15,D2,L3,V6,M3} R(8,7) { ! perp( X, Y, Z, T ), para( X, Y, U, W
% 7.36/7.73 ), ! perp( U, W, Z, T ) }.
% 7.36/7.73 (297) {G2,W10,D2,L2,V4,M2} F(277) { ! perp( X, Y, Z, T ), para( X, Y, X, Y
% 7.36/7.73 ) }.
% 7.36/7.73 (380) {G3,W12,D2,L3,V4,M3} R(211,2) { coll( X, Y, X ), ! coll( X, Z, Y ), !
% 7.36/7.73 coll( X, Z, T ) }.
% 7.36/7.73 (397) {G4,W8,D2,L2,V3,M2} F(380) { coll( X, Y, X ), ! coll( X, Z, Y ) }.
% 7.36/7.73 (418) {G1,W10,D2,L2,V4,M2} R(14,13) { ! cyclic( X, Y, Z, T ), cyclic( X, Z
% 7.36/7.73 , T, Y ) }.
% 7.36/7.73 (427) {G1,W10,D2,L2,V4,M2} R(15,14) { cyclic( X, Y, Z, T ), ! cyclic( Y, Z
% 7.36/7.73 , X, T ) }.
% 7.36/7.73 (429) {G1,W10,D2,L2,V4,M2} R(15,13) { cyclic( X, Y, Z, T ), ! cyclic( Y, X
% 7.36/7.73 , T, Z ) }.
% 7.36/7.73 (431) {G1,W5,D2,L1,V0,M1} R(15,125) { ! cyclic( skol23, skol20, skol24,
% 7.36/7.73 skol22 ) }.
% 7.36/7.73 (447) {G1,W15,D2,L3,V5,M3} R(16,15) { ! cyclic( X, Y, Z, T ), ! cyclic( X,
% 7.36/7.73 Y, Z, U ), cyclic( Z, Y, T, U ) }.
% 7.36/7.73 (452) {G1,W15,D2,L3,V5,M3} R(16,13) { ! cyclic( X, Y, Z, T ), cyclic( Y, Z
% 7.36/7.73 , T, U ), ! cyclic( X, Y, U, Z ) }.
% 7.36/7.73 (457) {G2,W10,D2,L2,V4,M2} F(447) { ! cyclic( X, Y, Z, T ), cyclic( Z, Y, T
% 7.36/7.73 , T ) }.
% 7.36/7.73 (656) {G2,W5,D2,L1,V0,M1} R(431,14) { ! cyclic( skol23, skol24, skol20,
% 7.36/7.73 skol22 ) }.
% 7.36/7.73 (660) {G3,W5,D2,L1,V0,M1} R(656,15) { ! cyclic( skol24, skol23, skol20,
% 7.36/7.73 skol22 ) }.
% 7.36/7.73 (665) {G4,W5,D2,L1,V0,M1} R(660,14) { ! cyclic( skol24, skol20, skol23,
% 7.36/7.73 skol22 ) }.
% 7.36/7.73 (669) {G5,W5,D2,L1,V0,M1} R(665,13) { ! cyclic( skol24, skol20, skol22,
% 7.36/7.73 skol23 ) }.
% 7.36/7.73 (670) {G6,W5,D2,L1,V0,M1} R(669,15) { ! cyclic( skol20, skol24, skol22,
% 7.36/7.73 skol23 ) }.
% 7.36/7.73 (673) {G7,W5,D2,L1,V0,M1} R(670,14) { ! cyclic( skol20, skol22, skol24,
% 7.36/7.73 skol23 ) }.
% 7.36/7.73 (691) {G8,W5,D2,L1,V0,M1} R(673,15) { ! cyclic( skol22, skol20, skol24,
% 7.36/7.73 skol23 ) }.
% 7.36/7.73 (694) {G9,W5,D2,L1,V0,M1} R(691,14) { ! cyclic( skol22, skol24, skol20,
% 7.36/7.73 skol23 ) }.
% 7.36/7.73 (698) {G10,W5,D2,L1,V0,M1} R(694,13) { ! cyclic( skol22, skol24, skol23,
% 7.36/7.73 skol20 ) }.
% 7.36/7.73 (700) {G11,W5,D2,L1,V0,M1} R(698,14) { ! cyclic( skol22, skol23, skol24,
% 7.36/7.73 skol20 ) }.
% 7.36/7.73 (703) {G12,W5,D2,L1,V0,M1} R(700,15) { ! cyclic( skol23, skol22, skol24,
% 7.36/7.73 skol20 ) }.
% 7.36/7.73 (705) {G13,W10,D2,L2,V1,M2} R(703,16) { ! cyclic( X, skol23, skol22, skol24
% 7.36/7.73 ), ! cyclic( X, skol23, skol22, skol20 ) }.
% 7.36/7.73 (740) {G5,W8,D2,L2,V3,M2} R(397,1) { ! coll( X, Y, Z ), coll( Z, X, X ) }.
% 7.36/7.73 (745) {G6,W8,D2,L2,V3,M2} R(740,1) { coll( X, Y, Y ), ! coll( Z, Y, X ) }.
% 7.36/7.73 (746) {G6,W8,D2,L2,V3,M2} R(740,0) { coll( X, Y, Y ), ! coll( Y, X, Z ) }.
% 7.36/7.73 (755) {G1,W14,D2,L2,V6,M2} R(39,18) { ! para( X, Y, Z, T ), eqangle( U, W,
% 7.36/7.73 X, Y, U, W, Z, T ) }.
% 7.36/7.73 (761) {G7,W8,D2,L2,V3,M2} R(746,746) { ! coll( X, Y, Z ), coll( X, Y, Y )
% 7.36/7.73 }.
% 7.36/7.73 (764) {G8,W12,D2,L3,V4,M3} R(761,2) { ! coll( X, Y, Z ), ! coll( X, Y, T )
% 7.36/7.73 , coll( T, Y, X ) }.
% 7.36/7.73 (765) {G9,W8,D2,L2,V3,M2} F(764) { ! coll( X, Y, Z ), coll( Z, Y, X ) }.
% 7.36/7.73 (769) {G10,W8,D2,L2,V3,M2} R(765,745) { coll( X, X, Y ), ! coll( Z, X, Y )
% 7.36/7.73 }.
% 7.36/7.73 (4472) {G11,W8,D2,L2,V3,M2} R(97,769) { ! alpha1( X, Y, Z ), coll( Z, Z, X
% 7.36/7.73 ) }.
% 7.36/7.73 (4956) {G1,W7,D3,L1,V0,M1} R(100,119) { perp( skol12( skol25, skol26 ),
% 7.36/7.73 skol25, skol25, skol26 ) }.
% 7.36/7.73 (9986) {G2,W7,D3,L1,V0,M1} R(4956,7) { perp( skol25, skol26, skol12( skol25
% 7.36/7.73 , skol26 ), skol25 ) }.
% 7.36/7.73 (9987) {G2,W7,D3,L1,V0,M1} R(4956,6) { perp( skol12( skol25, skol26 ),
% 7.36/7.73 skol25, skol26, skol25 ) }.
% 7.36/7.73 (9997) {G3,W7,D3,L1,V0,M1} R(9986,6) { perp( skol25, skol26, skol25, skol12
% 7.36/7.73 ( skol25, skol26 ) ) }.
% 7.36/7.73 (17081) {G2,W7,D3,L1,V0,M1} R(259,4956) { perp( skol26, skol25, skol12(
% 7.36/7.73 skol25, skol26 ), skol25 ) }.
% 7.36/7.73 (18513) {G3,W6,D3,L1,V0,M1} R(17081,96);r(9987) { alpha1( skol26, skol12(
% 7.36/7.73 skol25, skol26 ), skol25 ) }.
% 7.36/7.73 (18546) {G12,W4,D2,L1,V0,M1} R(18513,4472) { coll( skol25, skol25, skol26 )
% 7.36/7.73 }.
% 7.36/7.73 (18885) {G13,W14,D2,L2,V1,M2} R(18546,42) { ! eqangle( skol25, X, skol25,
% 7.36/7.73 skol26, skol25, X, skol25, skol26 ), cyclic( X, skol26, skol25, skol25 )
% 7.36/7.73 }.
% 7.36/7.73 (19080) {G4,W5,D2,L1,V0,M1} R(297,9997) { para( skol25, skol26, skol25,
% 7.36/7.73 skol26 ) }.
% 7.36/7.73 (36751) {G5,W9,D2,L1,V2,M1} R(755,19080) { eqangle( X, Y, skol25, skol26, X
% 7.36/7.73 , Y, skol25, skol26 ) }.
% 7.36/7.73 (42833) {G14,W5,D2,L1,V1,M1} S(18885);r(36751) { cyclic( X, skol26, skol25
% 7.36/7.73 , skol25 ) }.
% 7.36/7.73 (42868) {G15,W5,D2,L1,V1,M1} R(42833,429) { cyclic( skol26, X, skol25,
% 7.36/7.73 skol25 ) }.
% 7.36/7.73 (42877) {G16,W5,D2,L1,V1,M1} R(42868,457) { cyclic( skol25, X, skol25,
% 7.36/7.73 skol25 ) }.
% 7.36/7.73 (42895) {G17,W5,D2,L1,V1,M1} R(42877,427) { cyclic( skol25, skol25, X,
% 7.36/7.73 skol25 ) }.
% 7.36/7.73 (42896) {G17,W5,D2,L1,V1,M1} R(42877,418) { cyclic( skol25, skol25, skol25
% 7.36/7.73 , X ) }.
% 7.36/7.73 (42899) {G18,W5,D2,L1,V2,M1} R(42895,452);r(42896) { cyclic( skol25, skol25
% 7.36/7.73 , X, Y ) }.
% 7.36/7.73 (43163) {G19,W5,D2,L1,V3,M1} R(42899,452);r(42899) { cyclic( skol25, X, Y,
% 7.36/7.73 Z ) }.
% 7.36/7.73 (43175) {G20,W0,D0,L0,V0,M0} R(43163,705);r(43163) { }.
% 7.36/7.73
% 7.36/7.73
% 7.36/7.73 % SZS output end Refutation
% 7.36/7.73 found a proof!
% 7.36/7.73
% 7.36/7.73
% 7.36/7.73 Unprocessed initial clauses:
% 7.36/7.73
% 7.36/7.73 (43177) {G0,W8,D2,L2,V3,M2} { ! coll( X, Y, Z ), coll( X, Z, Y ) }.
% 7.36/7.73 (43178) {G0,W8,D2,L2,V3,M2} { ! coll( X, Y, Z ), coll( Y, X, Z ) }.
% 7.36/7.73 (43179) {G0,W12,D2,L3,V4,M3} { ! coll( X, T, Y ), ! coll( X, T, Z ), coll
% 7.36/7.73 ( Y, Z, X ) }.
% 7.36/7.73 (43180) {G0,W10,D2,L2,V4,M2} { ! para( X, Y, Z, T ), para( X, Y, T, Z )
% 7.36/7.73 }.
% 7.36/7.73 (43181) {G0,W10,D2,L2,V4,M2} { ! para( X, Y, Z, T ), para( Z, T, X, Y )
% 7.36/7.73 }.
% 7.36/7.73 (43182) {G0,W15,D2,L3,V6,M3} { ! para( X, Y, U, W ), ! para( U, W, Z, T )
% 7.36/7.73 , para( X, Y, Z, T ) }.
% 7.36/7.73 (43183) {G0,W10,D2,L2,V4,M2} { ! perp( X, Y, Z, T ), perp( X, Y, T, Z )
% 7.36/7.73 }.
% 7.36/7.73 (43184) {G0,W10,D2,L2,V4,M2} { ! perp( X, Y, Z, T ), perp( Z, T, X, Y )
% 7.36/7.73 }.
% 7.36/7.73 (43185) {G0,W15,D2,L3,V6,M3} { ! perp( X, Y, U, W ), ! perp( U, W, Z, T )
% 7.36/7.73 , para( X, Y, Z, T ) }.
% 7.36/7.73 (43186) {G0,W15,D2,L3,V6,M3} { ! para( X, Y, U, W ), ! perp( U, W, Z, T )
% 7.36/7.73 , perp( X, Y, Z, T ) }.
% 7.36/7.73 (43187) {G0,W8,D2,L2,V3,M2} { ! midp( Z, Y, X ), midp( Z, X, Y ) }.
% 7.36/7.73 (43188) {G0,W15,D2,L3,V4,M3} { ! cong( T, X, T, Y ), ! cong( T, X, T, Z )
% 7.36/7.73 , circle( T, X, Y, Z ) }.
% 7.36/7.73 (43189) {G0,W20,D2,L4,V5,M4} { ! cong( U, X, U, Y ), ! cong( U, X, U, Z )
% 7.36/7.73 , ! cong( U, X, U, T ), cyclic( X, Y, Z, T ) }.
% 7.36/7.73 (43190) {G0,W10,D2,L2,V4,M2} { ! cyclic( X, Y, Z, T ), cyclic( X, Y, T, Z
% 7.36/7.73 ) }.
% 7.36/7.73 (43191) {G0,W10,D2,L2,V4,M2} { ! cyclic( X, Y, Z, T ), cyclic( X, Z, Y, T
% 7.36/7.73 ) }.
% 7.36/7.73 (43192) {G0,W10,D2,L2,V4,M2} { ! cyclic( X, Y, Z, T ), cyclic( Y, X, Z, T
% 7.36/7.73 ) }.
% 7.36/7.73 (43193) {G0,W15,D2,L3,V5,M3} { ! cyclic( U, X, Y, Z ), ! cyclic( U, X, Y,
% 7.36/7.73 T ), cyclic( X, Y, Z, T ) }.
% 7.36/7.73 (43194) {G0,W18,D2,L2,V8,M2} { ! eqangle( X, Y, Z, T, U, W, V0, V1 ),
% 7.36/7.73 eqangle( Y, X, Z, T, U, W, V0, V1 ) }.
% 7.36/7.73 (43195) {G0,W18,D2,L2,V8,M2} { ! eqangle( X, Y, Z, T, U, W, V0, V1 ),
% 7.36/7.73 eqangle( Z, T, X, Y, V0, V1, U, W ) }.
% 7.36/7.73 (43196) {G0,W18,D2,L2,V8,M2} { ! eqangle( X, Y, Z, T, U, W, V0, V1 ),
% 7.36/7.73 eqangle( U, W, V0, V1, X, Y, Z, T ) }.
% 7.36/7.73 (43197) {G0,W18,D2,L2,V8,M2} { ! eqangle( X, Y, Z, T, U, W, V0, V1 ),
% 7.36/7.73 eqangle( X, Y, U, W, Z, T, V0, V1 ) }.
% 7.36/7.73 (43198) {G0,W27,D2,L3,V12,M3} { ! eqangle( X, Y, Z, T, V2, V3, V4, V5 ), !
% 7.36/7.73 eqangle( V2, V3, V4, V5, U, W, V0, V1 ), eqangle( X, Y, Z, T, U, W, V0,
% 7.36/7.73 V1 ) }.
% 7.36/7.73 (43199) {G0,W10,D2,L2,V4,M2} { ! cong( X, Y, Z, T ), cong( X, Y, T, Z )
% 7.36/7.73 }.
% 7.36/7.73 (43200) {G0,W10,D2,L2,V4,M2} { ! cong( X, Y, Z, T ), cong( Z, T, X, Y )
% 7.36/7.73 }.
% 7.36/7.73 (43201) {G0,W15,D2,L3,V6,M3} { ! cong( X, Y, U, W ), ! cong( U, W, Z, T )
% 7.36/7.73 , cong( X, Y, Z, T ) }.
% 7.36/7.73 (43202) {G0,W18,D2,L2,V8,M2} { ! eqratio( X, Y, Z, T, U, W, V0, V1 ),
% 7.36/7.73 eqratio( Y, X, Z, T, U, W, V0, V1 ) }.
% 7.36/7.73 (43203) {G0,W18,D2,L2,V8,M2} { ! eqratio( X, Y, Z, T, U, W, V0, V1 ),
% 7.36/7.73 eqratio( Z, T, X, Y, V0, V1, U, W ) }.
% 7.36/7.73 (43204) {G0,W18,D2,L2,V8,M2} { ! eqratio( X, Y, Z, T, U, W, V0, V1 ),
% 7.36/7.73 eqratio( U, W, V0, V1, X, Y, Z, T ) }.
% 7.36/7.73 (43205) {G0,W18,D2,L2,V8,M2} { ! eqratio( X, Y, Z, T, U, W, V0, V1 ),
% 7.36/7.73 eqratio( X, Y, U, W, Z, T, V0, V1 ) }.
% 7.36/7.73 (43206) {G0,W27,D2,L3,V12,M3} { ! eqratio( X, Y, Z, T, V2, V3, V4, V5 ), !
% 7.36/7.73 eqratio( V2, V3, V4, V5, U, W, V0, V1 ), eqratio( X, Y, Z, T, U, W, V0,
% 7.36/7.73 V1 ) }.
% 7.36/7.73 (43207) {G0,W14,D2,L2,V6,M2} { ! simtri( X, Z, Y, T, W, U ), simtri( X, Y
% 7.36/7.73 , Z, T, U, W ) }.
% 7.36/7.73 (43208) {G0,W14,D2,L2,V6,M2} { ! simtri( Y, X, Z, U, T, W ), simtri( X, Y
% 7.36/7.73 , Z, T, U, W ) }.
% 7.36/7.73 (43209) {G0,W14,D2,L2,V6,M2} { ! simtri( T, U, W, X, Y, Z ), simtri( X, Y
% 7.36/7.73 , Z, T, U, W ) }.
% 7.36/7.73 (43210) {G0,W21,D2,L3,V9,M3} { ! simtri( X, Y, Z, V0, V1, V2 ), ! simtri(
% 7.36/7.73 V0, V1, V2, T, U, W ), simtri( X, Y, Z, T, U, W ) }.
% 7.36/7.73 (43211) {G0,W14,D2,L2,V6,M2} { ! contri( X, Z, Y, T, W, U ), contri( X, Y
% 7.36/7.73 , Z, T, U, W ) }.
% 7.36/7.73 (43212) {G0,W14,D2,L2,V6,M2} { ! contri( Y, X, Z, U, T, W ), contri( X, Y
% 7.36/7.73 , Z, T, U, W ) }.
% 7.36/7.73 (43213) {G0,W14,D2,L2,V6,M2} { ! contri( T, U, W, X, Y, Z ), contri( X, Y
% 7.36/7.73 , Z, T, U, W ) }.
% 7.36/7.73 (43214) {G0,W21,D2,L3,V9,M3} { ! contri( X, Y, Z, V0, V1, V2 ), ! contri(
% 7.36/7.73 V0, V1, V2, T, U, W ), contri( X, Y, Z, T, U, W ) }.
% 7.36/7.73 (43215) {G0,W14,D2,L2,V6,M2} { ! eqangle( X, Y, U, W, Z, T, U, W ), para(
% 7.36/7.73 X, Y, Z, T ) }.
% 7.36/7.73 (43216) {G0,W14,D2,L2,V6,M2} { ! para( X, Y, Z, T ), eqangle( X, Y, U, W,
% 7.36/7.73 Z, T, U, W ) }.
% 7.36/7.73 (43217) {G0,W14,D2,L2,V4,M2} { ! cyclic( X, Y, Z, T ), eqangle( Z, X, Z, Y
% 7.36/7.73 , T, X, T, Y ) }.
% 7.36/7.73 (43218) {G0,W18,D2,L3,V4,M3} { ! eqangle( Z, X, Z, Y, T, X, T, Y ), coll(
% 7.36/7.73 Z, T, X ), cyclic( X, Y, Z, T ) }.
% 7.36/7.73 (43219) {G0,W18,D2,L3,V4,M3} { ! eqangle( Z, X, Z, Y, T, X, T, Y ), ! coll
% 7.36/7.73 ( Z, T, Y ), cyclic( X, Y, Z, T ) }.
% 7.36/7.73 (43220) {G0,W29,D2,L5,V6,M5} { ! cyclic( X, Y, U, Z ), ! cyclic( X, Y, U,
% 7.36/7.73 T ), ! cyclic( X, Y, U, W ), ! eqangle( U, X, U, Y, W, Z, W, T ), cong( X
% 7.36/7.73 , Y, Z, T ) }.
% 7.36/7.73 (43221) {G0,W13,D2,L3,V5,M3} { ! midp( Z, U, X ), ! midp( T, U, Y ), para
% 7.36/7.73 ( Z, T, X, Y ) }.
% 7.36/7.73 (43222) {G0,W17,D2,L4,V5,M4} { ! midp( U, X, T ), ! para( U, Z, T, Y ), !
% 7.36/7.73 coll( Z, X, Y ), midp( Z, X, Y ) }.
% 7.36/7.73 (43223) {G0,W14,D2,L2,V3,M2} { ! cong( Z, X, Z, Y ), eqangle( Z, X, X, Y,
% 7.36/7.73 X, Y, Z, Y ) }.
% 7.36/7.73 (43224) {G0,W18,D2,L3,V3,M3} { ! eqangle( Z, X, X, Y, X, Y, Z, Y ), coll(
% 7.36/7.73 Z, X, Y ), cong( Z, X, Z, Y ) }.
% 7.36/7.73 (43225) {G0,W19,D2,L3,V5,M3} { ! circle( U, X, Y, Z ), ! perp( U, X, X, T
% 7.36/7.73 ), eqangle( X, T, X, Y, Z, X, Z, Y ) }.
% 7.36/7.73 (43226) {G0,W19,D2,L3,V5,M3} { ! circle( Y, X, T, U ), ! eqangle( X, Z, X
% 7.36/7.73 , T, U, X, U, T ), perp( Y, X, X, Z ) }.
% 7.36/7.73 (43227) {G0,W18,D2,L3,V5,M3} { ! circle( T, X, Y, Z ), ! midp( U, Y, Z ),
% 7.36/7.73 eqangle( X, Y, X, Z, T, Y, T, U ) }.
% 7.36/7.73 (43228) {G0,W22,D2,L4,V5,M4} { ! circle( U, T, X, Y ), ! coll( Z, X, Y ),
% 7.36/7.73 ! eqangle( T, X, T, Y, U, X, U, Z ), midp( Z, X, Y ) }.
% 7.36/7.73 (43229) {G0,W14,D2,L3,V4,M3} { ! perp( X, Y, Y, T ), ! midp( Z, X, T ),
% 7.36/7.73 cong( X, Z, Y, Z ) }.
% 7.36/7.73 (43230) {G0,W14,D2,L3,V4,M3} { ! circle( T, X, Y, Z ), ! coll( T, X, Z ),
% 7.36/7.73 perp( X, Y, Y, Z ) }.
% 7.36/7.73 (43231) {G0,W19,D2,L3,V4,M3} { ! cyclic( X, Y, Z, T ), ! para( X, Y, Z, T
% 7.36/7.73 ), eqangle( X, T, Z, T, Z, T, Z, Y ) }.
% 7.36/7.73 (43232) {G0,W14,D2,L3,V4,M3} { ! midp( T, X, Y ), ! perp( Z, T, X, Y ),
% 7.36/7.73 cong( Z, X, Z, Y ) }.
% 7.36/7.73 (43233) {G0,W15,D2,L3,V4,M3} { ! cong( X, Z, Y, Z ), ! cong( X, T, Y, T )
% 7.36/7.73 , perp( X, Y, Z, T ) }.
% 7.36/7.73 (43234) {G0,W20,D2,L4,V4,M4} { ! cong( X, Y, T, Y ), ! cong( X, Z, T, Z )
% 7.36/7.73 , ! cyclic( X, T, Y, Z ), perp( Y, X, X, Z ) }.
% 7.36/7.73 (43235) {G0,W29,D2,L4,V6,M4} { ! eqangle( X, Y, Y, Z, T, U, U, W ), !
% 7.36/7.73 eqangle( X, Z, Y, Z, T, W, U, W ), coll( X, Y, Z ), simtri( X, Y, Z, T, U
% 7.36/7.73 , W ) }.
% 7.36/7.73 (43236) {G0,W16,D2,L2,V6,M2} { ! simtri( X, Y, Z, T, U, W ), eqratio( X, Y
% 7.36/7.73 , X, Z, T, U, T, W ) }.
% 7.36/7.73 (43237) {G0,W16,D2,L2,V6,M2} { ! simtri( X, Y, Z, T, U, W ), eqangle( X, Y
% 7.36/7.73 , Y, Z, T, U, U, W ) }.
% 7.36/7.73 (43238) {G0,W19,D2,L3,V6,M3} { ! simtri( X, Y, Z, T, U, W ), ! cong( X, Y
% 7.36/7.73 , T, U ), contri( X, Y, Z, T, U, W ) }.
% 7.36/7.73 (43239) {G0,W12,D2,L2,V6,M2} { ! contri( X, Y, U, Z, T, W ), cong( X, Y, Z
% 7.36/7.73 , T ) }.
% 7.36/7.73 (43240) {G0,W13,D2,L3,V5,M3} { ! midp( U, X, Y ), ! midp( U, Z, T ), para
% 7.36/7.73 ( X, Z, Y, T ) }.
% 7.36/7.73 (43241) {G0,W18,D2,L4,V5,M4} { ! midp( Z, T, U ), ! para( T, X, U, Y ), !
% 7.36/7.73 para( T, Y, U, X ), midp( Z, X, Y ) }.
% 7.36/7.73 (43242) {G0,W22,D2,L4,V5,M4} { ! para( X, Y, Z, T ), ! coll( U, X, Z ), !
% 7.36/7.73 coll( U, Y, T ), eqratio( U, X, X, Z, U, Y, Y, T ) }.
% 7.36/7.73 (43243) {G0,W9,D2,L2,V3,M2} { ! para( X, Y, X, Z ), coll( X, Y, Z ) }.
% 7.36/7.73 (43244) {G0,W13,D2,L3,V3,M3} { ! cong( X, Y, X, Z ), ! coll( X, Y, Z ),
% 7.36/7.73 midp( X, Y, Z ) }.
% 7.36/7.73 (43245) {G0,W9,D2,L2,V3,M2} { ! midp( X, Y, Z ), cong( X, Y, X, Z ) }.
% 7.36/7.73 (43246) {G0,W8,D2,L2,V3,M2} { ! midp( X, Y, Z ), coll( X, Y, Z ) }.
% 7.36/7.73 (43247) {G0,W17,D2,L3,V6,M3} { ! midp( U, X, Y ), ! midp( W, Z, T ),
% 7.36/7.73 eqratio( U, X, X, Y, W, Z, Z, T ) }.
% 7.36/7.73 (43248) {G0,W19,D2,L3,V4,M3} { ! eqangle( X, Y, Z, T, Z, T, X, Y ), para(
% 7.36/7.73 X, Y, Z, T ), perp( X, Y, Z, T ) }.
% 7.36/7.73 (43249) {G0,W19,D2,L3,V4,M3} { ! eqangle( X, Y, Z, T, Z, T, X, Y ), perp(
% 7.36/7.73 X, Y, Z, T ), para( X, Y, Z, T ) }.
% 7.36/7.73 (43250) {G0,W19,D2,L3,V8,M3} { ! eqangle( X, Y, Z, T, U, W, V0, V1 ), !
% 7.36/7.73 para( U, W, V0, V1 ), para( X, Y, Z, T ) }.
% 7.36/7.73 (43251) {G0,W19,D2,L3,V8,M3} { ! eqangle( X, Y, Z, T, U, W, V0, V1 ), !
% 7.36/7.73 perp( U, W, V0, V1 ), perp( X, Y, Z, T ) }.
% 7.36/7.73 (43252) {G0,W19,D2,L3,V8,M3} { ! eqratio( X, Y, Z, T, U, W, V0, V1 ), !
% 7.36/7.73 cong( U, W, V0, V1 ), cong( X, Y, Z, T ) }.
% 7.36/7.73 (43253) {G0,W22,D3,L3,V6,M3} { ! perp( Z, Y, Y, X ), ! eqangle( T, Z, Y, Z
% 7.36/7.73 , Y, Z, X, Z ), coll( skol1( U, W, Z, T ), Z, T ) }.
% 7.36/7.73 (43254) {G0,W22,D3,L3,V4,M3} { ! perp( Z, Y, Y, X ), ! eqangle( T, Z, Y, Z
% 7.36/7.73 , Y, Z, X, Z ), coll( skol1( X, Y, Z, T ), X, Y ) }.
% 7.36/7.73 (43255) {G0,W22,D3,L3,V6,M3} { ! cong( Z, X, Z, Y ), ! eqangle( X, Z, Z, T
% 7.36/7.73 , Z, T, Z, Y ), coll( skol2( U, W, Z, T ), Z, T ) }.
% 7.36/7.73 (43256) {G0,W22,D3,L3,V4,M3} { ! cong( Z, X, Z, Y ), ! eqangle( X, Z, Z, T
% 7.36/7.73 , Z, T, Z, Y ), coll( Y, X, skol2( X, Y, Z, T ) ) }.
% 7.36/7.73 (43257) {G0,W22,D3,L3,V6,M3} { ! perp( Z, T, X, Y ), ! eqangle( X, Z, Z, T
% 7.36/7.73 , Z, T, Z, Y ), coll( skol3( U, W, Z, T ), Z, T ) }.
% 7.36/7.73 (43258) {G0,W22,D3,L3,V4,M3} { ! perp( Z, T, X, Y ), ! eqangle( X, Z, Z, T
% 7.36/7.73 , Z, T, Z, Y ), coll( Y, X, skol3( X, Y, Z, T ) ) }.
% 7.36/7.73 (43259) {G0,W18,D3,L3,V6,M3} { ! perp( Z, T, X, Y ), ! cong( Z, X, Z, Y )
% 7.36/7.73 , coll( skol4( U, W, Z, T ), Z, T ) }.
% 7.36/7.73 (43260) {G0,W18,D3,L3,V4,M3} { ! perp( Z, T, X, Y ), ! cong( Z, X, Z, Y )
% 7.36/7.73 , coll( Y, X, skol4( X, Y, Z, T ) ) }.
% 7.36/7.73 (43261) {G0,W22,D3,L3,V6,M3} { ! eqangle( X, Z, Y, Z, X, T, Y, U ), coll(
% 7.36/7.73 X, Y, Z ), cyclic( T, Y, Z, skol5( W, Y, Z, T ) ) }.
% 7.36/7.73 (43262) {G0,W30,D3,L3,V5,M3} { ! eqangle( X, Z, Y, Z, X, T, Y, U ), coll(
% 7.36/7.73 X, Y, Z ), eqangle( X, Z, Y, Z, X, skol5( X, Y, Z, T ), Y, skol5( X, Y, Z
% 7.36/7.73 , T ) ) }.
% 7.36/7.73 (43263) {G0,W18,D3,L3,V10,M3} { ! midp( U, X, Y ), ! midp( W, Z, T ), midp
% 7.36/7.73 ( skol6( X, V0, V1, T, V2, V3 ), X, T ) }.
% 7.36/7.73 (43264) {G0,W19,D3,L3,V8,M3} { ! midp( U, X, Y ), ! midp( W, Z, T ), para
% 7.36/7.73 ( skol6( X, V0, Z, T, V1, W ), W, X, Z ) }.
% 7.36/7.73 (43265) {G0,W19,D3,L3,V6,M3} { ! midp( U, X, Y ), ! midp( W, Z, T ), para
% 7.36/7.73 ( skol6( X, Y, Z, T, U, W ), U, Y, T ) }.
% 7.36/7.73 (43266) {G0,W22,D3,L5,V7,M5} { ! midp( Z, X, Y ), ! midp( W, T, U ), !
% 7.36/7.73 coll( T, X, Y ), ! coll( U, X, Y ), midp( skol7( X, V0 ), X, V0 ) }.
% 7.36/7.73 (43267) {G0,W26,D3,L5,V8,M5} { ! midp( T, X, U ), ! para( X, W, Z, T ), !
% 7.36/7.73 para( X, W, U, Y ), ! coll( W, Y, Z ), coll( skol8( V0, V1, Z, T ), T, Z
% 7.36/7.73 ) }.
% 7.36/7.73 (43268) {G0,W26,D3,L5,V6,M5} { ! midp( T, X, U ), ! para( X, W, Z, T ), !
% 7.36/7.73 para( X, W, U, Y ), ! coll( W, Y, Z ), coll( skol8( X, Y, Z, T ), X, Y )
% 7.36/7.73 }.
% 7.36/7.73 (43269) {G0,W19,D3,L3,V7,M3} { ! cong( T, Z, T, U ), ! perp( X, Y, Y, T )
% 7.36/7.73 , cong( T, Z, T, skol9( W, V0, Z, T ) ) }.
% 7.36/7.73 (43270) {G0,W19,D3,L3,V6,M3} { ! cong( T, Z, T, U ), ! perp( X, Y, Y, T )
% 7.36/7.73 , cong( Y, Z, Y, skol9( W, Y, Z, T ) ) }.
% 7.36/7.73 (43271) {G0,W19,D3,L3,V5,M3} { ! cong( T, Z, T, U ), ! perp( X, Y, Y, T )
% 7.36/7.73 , para( skol9( X, Y, Z, T ), Z, X, Y ) }.
% 7.36/7.73 (43272) {G0,W17,D3,L3,V5,M3} { ! perp( X, T, Y, Z ), ! perp( Y, T, X, Z )
% 7.36/7.73 , coll( skol10( U, Y, Z ), Z, Y ) }.
% 7.36/7.73 (43273) {G0,W18,D3,L3,V4,M3} { ! perp( X, T, Y, Z ), ! perp( Y, T, X, Z )
% 7.36/7.73 , perp( X, skol10( X, Y, Z ), Z, Y ) }.
% 7.36/7.73 (43274) {G0,W14,D2,L3,V4,M3} { ! perp( X, T, Y, Z ), ! perp( Y, T, X, Z )
% 7.36/7.73 , alpha1( X, Y, Z ) }.
% 7.36/7.73 (43275) {G0,W11,D3,L2,V4,M2} { ! alpha1( X, Y, Z ), coll( skol11( X, T, Z
% 7.36/7.73 ), Z, X ) }.
% 7.36/7.73 (43276) {G0,W12,D3,L2,V3,M2} { ! alpha1( X, Y, Z ), perp( Y, skol11( X, Y
% 7.36/7.73 , Z ), Z, X ) }.
% 7.36/7.73 (43277) {G0,W13,D2,L3,V4,M3} { ! coll( T, Z, X ), ! perp( Y, T, Z, X ),
% 7.36/7.73 alpha1( X, Y, Z ) }.
% 7.36/7.73 (43278) {G0,W12,D3,L2,V4,M2} { ! circle( Y, X, Z, T ), perp( skol12( X, Y
% 7.36/7.73 ), X, X, Y ) }.
% 7.36/7.73 (43279) {G0,W28,D3,L5,V8,M5} { ! circle( W, X, Y, Z ), ! cong( W, X, W, T
% 7.36/7.73 ), ! cong( U, X, U, Y ), W = U, alpha2( X, Z, U, skol13( X, V0, Z, V1, U
% 7.36/7.73 ) ) }.
% 7.36/7.73 (43280) {G0,W26,D3,L5,V8,M5} { ! circle( W, X, Y, Z ), ! cong( W, X, W, T
% 7.36/7.73 ), ! cong( U, X, U, Y ), W = U, coll( skol21( V0, Y, T, V1 ), Y, T ) }.
% 7.36/7.73 (43281) {G0,W27,D3,L5,V6,M5} { ! circle( W, X, Y, Z ), ! cong( W, X, W, T
% 7.36/7.73 ), ! cong( U, X, U, Y ), W = U, cong( skol21( X, Y, T, U ), U, U, X )
% 7.36/7.73 }.
% 7.36/7.73 (43282) {G0,W9,D2,L2,V4,M2} { ! alpha2( X, Y, Z, T ), coll( T, X, Y ) }.
% 7.36/7.73 (43283) {G0,W10,D2,L2,V4,M2} { ! alpha2( X, Y, Z, T ), cong( T, Z, Z, X )
% 7.36/7.73 }.
% 7.36/7.73 (43284) {G0,W14,D2,L3,V4,M3} { ! coll( T, X, Y ), ! cong( T, Z, Z, X ),
% 7.36/7.73 alpha2( X, Y, Z, T ) }.
% 7.36/7.73 (43285) {G0,W22,D3,L4,V5,M4} { ! cyclic( X, Y, Z, T ), ! para( X, Y, Z, T
% 7.36/7.73 ), ! midp( U, X, Y ), circle( skol14( X, Y, Z ), X, Y, Z ) }.
% 7.36/7.73 (43286) {G0,W18,D3,L3,V4,M3} { ! perp( X, Z, Z, Y ), ! cyclic( X, Y, Z, T
% 7.36/7.73 ), circle( skol15( X, Y, Z ), X, Y, Z ) }.
% 7.36/7.73 (43287) {G0,W16,D3,L3,V6,M3} { ! perp( X, U, U, T ), ! coll( T, Y, Z ),
% 7.36/7.73 coll( skol16( W, Y, Z ), Y, Z ) }.
% 7.36/7.73 (43288) {G0,W17,D3,L3,V5,M3} { ! perp( X, U, U, T ), ! coll( T, Y, Z ),
% 7.36/7.73 perp( skol16( X, Y, Z ), X, Y, Z ) }.
% 7.36/7.73 (43289) {G0,W20,D3,L4,V5,M4} { ! perp( X, Z, X, Y ), ! perp( Y, X, Y, T )
% 7.36/7.73 , ! midp( U, Z, T ), midp( skol17( X, Y ), X, Y ) }.
% 7.36/7.73 (43290) {G0,W16,D3,L3,V3,M3} { ! cong( Y, X, Y, Z ), ! perp( X, Y, Y, Z )
% 7.36/7.73 , coll( X, Y, skol18( X, Y ) ) }.
% 7.36/7.73 (43291) {G0,W17,D3,L3,V3,M3} { ! cong( Y, X, Y, Z ), ! perp( X, Y, Y, Z )
% 7.36/7.73 , cong( Y, X, Y, skol18( X, Y ) ) }.
% 7.36/7.73 (43292) {G0,W25,D3,L5,V8,M5} { ! para( U, W, X, Y ), ! coll( Z, U, X ), !
% 7.36/7.73 coll( Z, W, Y ), ! coll( T, U, W ), coll( Z, T, skol19( V0, V1, Z, T ) )
% 7.36/7.73 }.
% 7.36/7.73 (43293) {G0,W25,D3,L5,V6,M5} { ! para( U, W, X, Y ), ! coll( Z, U, X ), !
% 7.36/7.73 coll( Z, W, Y ), ! coll( T, U, W ), coll( skol19( X, Y, Z, T ), X, Y )
% 7.36/7.73 }.
% 7.36/7.73 (43294) {G0,W5,D2,L1,V0,M1} { circle( skol26, skol20, skol22, skol25 ) }.
% 7.36/7.73 (43295) {G0,W5,D2,L1,V0,M1} { perp( skol27, skol25, skol20, skol22 ) }.
% 7.36/7.73 (43296) {G0,W4,D2,L1,V0,M1} { coll( skol27, skol20, skol22 ) }.
% 7.36/7.73 (43297) {G0,W5,D2,L1,V0,M1} { circle( skol26, skol25, skol28, skol29 ) }.
% 7.36/7.73 (43298) {G0,W4,D2,L1,V0,M1} { coll( skol28, skol25, skol27 ) }.
% 7.36/7.73 (43299) {G0,W5,D2,L1,V0,M1} { perp( skol23, skol28, skol20, skol25 ) }.
% 7.36/7.73 (43300) {G0,W4,D2,L1,V0,M1} { coll( skol23, skol20, skol25 ) }.
% 7.36/7.73 (43301) {G0,W5,D2,L1,V0,M1} { perp( skol24, skol28, skol22, skol25 ) }.
% 7.36/7.73 (43302) {G0,W4,D2,L1,V0,M1} { coll( skol24, skol22, skol25 ) }.
% 7.36/7.73 (43303) {G0,W5,D2,L1,V0,M1} { ! cyclic( skol20, skol23, skol24, skol22 )
% 7.36/7.73 }.
% 7.36/7.73
% 7.36/7.73
% 7.36/7.73 Total Proof:
% 7.36/7.73
% 7.36/7.73 subsumption: (0) {G0,W8,D2,L2,V3,M2} I { ! coll( X, Y, Z ), coll( X, Z, Y )
% 7.36/7.73 }.
% 7.36/7.73 parent0: (43177) {G0,W8,D2,L2,V3,M2} { ! coll( X, Y, Z ), coll( X, Z, Y )
% 7.36/7.73 }.
% 7.36/7.73 substitution0:
% 7.36/7.73 X := X
% 7.36/7.73 Y := Y
% 7.36/7.73 Z := Z
% 7.36/7.73 end
% 7.36/7.73 permutation0:
% 7.36/7.73 0 ==> 0
% 7.36/7.73 1 ==> 1
% 7.36/7.73 end
% 7.36/7.73
% 7.36/7.73 subsumption: (1) {G0,W8,D2,L2,V3,M2} I { ! coll( X, Y, Z ), coll( Y, X, Z )
% 7.36/7.73 }.
% 7.36/7.73 parent0: (43178) {G0,W8,D2,L2,V3,M2} { ! coll( X, Y, Z ), coll( Y, X, Z )
% 7.36/7.73 }.
% 7.36/7.73 substitution0:
% 7.36/7.73 X := X
% 7.36/7.73 Y := Y
% 7.36/7.73 Z := Z
% 7.36/7.73 end
% 7.36/7.73 permutation0:
% 7.36/7.73 0 ==> 0
% 7.36/7.73 1 ==> 1
% 7.36/7.73 end
% 7.36/7.73
% 7.36/7.73 subsumption: (2) {G0,W12,D2,L3,V4,M3} I { ! coll( X, T, Y ), ! coll( X, T,
% 7.36/7.73 Z ), coll( Y, Z, X ) }.
% 7.36/7.73 parent0: (43179) {G0,W12,D2,L3,V4,M3} { ! coll( X, T, Y ), ! coll( X, T, Z
% 7.36/7.73 ), coll( Y, Z, X ) }.
% 7.36/7.73 substitution0:
% 7.36/7.73 X := X
% 7.36/7.73 Y := Y
% 7.36/7.73 Z := Z
% 7.36/7.73 T := T
% 7.36/7.73 end
% 7.36/7.73 permutation0:
% 7.36/7.73 0 ==> 0
% 7.36/7.73 1 ==> 1
% 7.36/7.73 2 ==> 2
% 7.36/7.73 end
% 7.36/7.73
% 7.36/7.73 subsumption: (6) {G0,W10,D2,L2,V4,M2} I { ! perp( X, Y, Z, T ), perp( X, Y
% 7.36/7.73 , T, Z ) }.
% 7.36/7.73 parent0: (43183) {G0,W10,D2,L2,V4,M2} { ! perp( X, Y, Z, T ), perp( X, Y,
% 7.36/7.73 T, Z ) }.
% 7.36/7.73 substitution0:
% 7.36/7.73 X := X
% 7.36/7.73 Y := Y
% 7.36/7.73 Z := Z
% 7.36/7.73 T := T
% 7.36/7.73 end
% 7.36/7.73 permutation0:
% 7.36/7.73 0 ==> 0
% 7.36/7.73 1 ==> 1
% 7.36/7.73 end
% 7.36/7.73
% 7.36/7.73 subsumption: (7) {G0,W10,D2,L2,V4,M2} I { ! perp( X, Y, Z, T ), perp( Z, T
% 7.36/7.73 , X, Y ) }.
% 7.36/7.73 parent0: (43184) {G0,W10,D2,L2,V4,M2} { ! perp( X, Y, Z, T ), perp( Z, T,
% 7.36/7.73 X, Y ) }.
% 7.36/7.73 substitution0:
% 7.36/7.73 X := X
% 7.36/7.73 Y := Y
% 7.36/7.73 Z := Z
% 7.36/7.73 T := T
% 7.36/7.73 end
% 7.36/7.73 permutation0:
% 7.36/7.73 0 ==> 0
% 7.36/7.73 1 ==> 1
% 7.36/7.73 end
% 7.36/7.73
% 7.36/7.73 subsumption: (8) {G0,W15,D2,L3,V6,M3} I { ! perp( X, Y, U, W ), ! perp( U,
% 7.36/7.73 W, Z, T ), para( X, Y, Z, T ) }.
% 7.36/7.73 parent0: (43185) {G0,W15,D2,L3,V6,M3} { ! perp( X, Y, U, W ), ! perp( U, W
% 7.36/7.73 , Z, T ), para( X, Y, Z, T ) }.
% 7.36/7.73 substitution0:
% 7.36/7.73 X := X
% 7.36/7.73 Y := Y
% 7.36/7.73 Z := Z
% 7.36/7.73 T := T
% 7.36/7.73 U := U
% 7.36/7.73 W := W
% 7.36/7.73 end
% 7.36/7.73 permutation0:
% 7.36/7.73 0 ==> 0
% 7.36/7.73 1 ==> 1
% 7.36/7.73 2 ==> 2
% 7.36/7.73 end
% 7.36/7.73
% 7.36/7.73 subsumption: (13) {G0,W10,D2,L2,V4,M2} I { ! cyclic( X, Y, Z, T ), cyclic(
% 7.36/7.73 X, Y, T, Z ) }.
% 7.36/7.73 parent0: (43190) {G0,W10,D2,L2,V4,M2} { ! cyclic( X, Y, Z, T ), cyclic( X
% 7.36/7.73 , Y, T, Z ) }.
% 7.36/7.73 substitution0:
% 7.36/7.73 X := X
% 7.36/7.73 Y := Y
% 7.36/7.73 Z := Z
% 7.36/7.73 T := T
% 7.36/7.73 end
% 7.36/7.73 permutation0:
% 7.36/7.73 0 ==> 0
% 7.36/7.73 1 ==> 1
% 7.36/7.73 end
% 7.36/7.73
% 7.36/7.73 subsumption: (14) {G0,W10,D2,L2,V4,M2} I { ! cyclic( X, Y, Z, T ), cyclic(
% 7.36/7.73 X, Z, Y, T ) }.
% 7.36/7.73 parent0: (43191) {G0,W10,D2,L2,V4,M2} { ! cyclic( X, Y, Z, T ), cyclic( X
% 7.36/7.73 , Z, Y, T ) }.
% 7.36/7.73 substitution0:
% 7.36/7.73 X := X
% 7.36/7.73 Y := Y
% 7.36/7.73 Z := Z
% 7.36/7.73 T := T
% 7.36/7.73 end
% 7.36/7.73 permutation0:
% 7.36/7.73 0 ==> 0
% 7.36/7.73 1 ==> 1
% 7.36/7.73 end
% 7.36/7.73
% 7.36/7.73 subsumption: (15) {G0,W10,D2,L2,V4,M2} I { ! cyclic( X, Y, Z, T ), cyclic(
% 7.36/7.73 Y, X, Z, T ) }.
% 7.36/7.73 parent0: (43192) {G0,W10,D2,L2,V4,M2} { ! cyclic( X, Y, Z, T ), cyclic( Y
% 7.36/7.73 , X, Z, T ) }.
% 7.36/7.73 substitution0:
% 7.36/7.73 X := X
% 7.36/7.73 Y := Y
% 7.36/7.73 Z := Z
% 7.36/7.73 T := T
% 7.36/7.73 end
% 7.36/7.73 permutation0:
% 7.36/7.73 0 ==> 0
% 7.36/7.73 1 ==> 1
% 7.36/7.73 end
% 7.36/7.73
% 7.36/7.73 subsumption: (16) {G0,W15,D2,L3,V5,M3} I { ! cyclic( U, X, Y, Z ), ! cyclic
% 7.36/7.73 ( U, X, Y, T ), cyclic( X, Y, Z, T ) }.
% 7.36/7.73 parent0: (43193) {G0,W15,D2,L3,V5,M3} { ! cyclic( U, X, Y, Z ), ! cyclic(
% 7.36/7.73 U, X, Y, T ), cyclic( X, Y, Z, T ) }.
% 7.36/7.73 substitution0:
% 7.36/7.73 X := X
% 7.36/7.73 Y := Y
% 7.36/7.73 Z := Z
% 7.36/7.73 T := T
% 7.36/7.73 U := U
% 7.36/7.73 end
% 7.36/7.73 permutation0:
% 7.36/7.73 0 ==> 0
% 7.36/7.73 1 ==> 1
% 7.36/7.73 2 ==> 2
% 7.36/7.73 end
% 7.36/7.73
% 7.36/7.73 subsumption: (18) {G0,W18,D2,L2,V8,M2} I { ! eqangle( X, Y, Z, T, U, W, V0
% 7.36/7.73 , V1 ), eqangle( Z, T, X, Y, V0, V1, U, W ) }.
% 7.36/7.73 parent0: (43195) {G0,W18,D2,L2,V8,M2} { ! eqangle( X, Y, Z, T, U, W, V0,
% 7.36/7.73 V1 ), eqangle( Z, T, X, Y, V0, V1, U, W ) }.
% 7.36/7.73 substitution0:
% 7.36/7.73 X := X
% 7.36/7.73 Y := Y
% 7.36/7.73 Z := Z
% 7.36/7.73 T := T
% 7.36/7.73 U := U
% 7.36/7.73 W := W
% 7.36/7.73 V0 := V0
% 7.36/7.73 V1 := V1
% 7.36/7.73 end
% 7.36/7.73 permutation0:
% 7.36/7.73 0 ==> 0
% 7.36/7.73 1 ==> 1
% 7.36/7.73 end
% 7.36/7.73
% 7.36/7.73 subsumption: (39) {G0,W14,D2,L2,V6,M2} I { ! para( X, Y, Z, T ), eqangle( X
% 7.36/7.73 , Y, U, W, Z, T, U, W ) }.
% 7.36/7.73 parent0: (43216) {G0,W14,D2,L2,V6,M2} { ! para( X, Y, Z, T ), eqangle( X,
% 7.36/7.73 Y, U, W, Z, T, U, W ) }.
% 7.36/7.73 substitution0:
% 7.36/7.73 X := X
% 7.36/7.73 Y := Y
% 7.36/7.73 Z := Z
% 7.36/7.73 T := T
% 7.36/7.73 U := U
% 7.36/7.73 W := W
% 7.36/7.73 end
% 7.36/7.73 permutation0:
% 7.36/7.73 0 ==> 0
% 7.36/7.73 1 ==> 1
% 7.36/7.73 end
% 7.36/7.73
% 7.36/7.73 subsumption: (42) {G0,W18,D2,L3,V4,M3} I { ! eqangle( Z, X, Z, Y, T, X, T,
% 7.36/7.73 Y ), ! coll( Z, T, Y ), cyclic( X, Y, Z, T ) }.
% 7.36/7.73 parent0: (43219) {G0,W18,D2,L3,V4,M3} { ! eqangle( Z, X, Z, Y, T, X, T, Y
% 7.36/7.73 ), ! coll( Z, T, Y ), cyclic( X, Y, Z, T ) }.
% 7.36/7.73 substitution0:
% 7.36/7.73 X := X
% 7.36/7.73 Y := Y
% 7.36/7.73 Z := Z
% 7.36/7.73 T := T
% 7.36/7.73 end
% 7.36/7.73 permutation0:
% 7.36/7.73 0 ==> 0
% 7.36/7.73 1 ==> 1
% 7.36/7.73 2 ==> 2
% 7.36/7.73 end
% 7.36/7.73
% 7.36/7.73 subsumption: (96) {G0,W14,D2,L3,V4,M3} I { ! perp( X, T, Y, Z ), ! perp( Y
% 7.36/7.73 , T, X, Z ), alpha1( X, Y, Z ) }.
% 7.36/7.73 parent0: (43274) {G0,W14,D2,L3,V4,M3} { ! perp( X, T, Y, Z ), ! perp( Y, T
% 7.36/7.73 , X, Z ), alpha1( X, Y, Z ) }.
% 7.36/7.73 substitution0:
% 7.36/7.73 X := X
% 7.36/7.73 Y := Y
% 7.36/7.73 Z := Z
% 7.36/7.73 T := T
% 7.36/7.73 end
% 7.36/7.73 permutation0:
% 7.36/7.73 0 ==> 0
% 7.36/7.73 1 ==> 1
% 7.36/7.73 2 ==> 2
% 7.36/7.73 end
% 7.36/7.73
% 7.36/7.73 subsumption: (97) {G0,W11,D3,L2,V4,M2} I { ! alpha1( X, Y, Z ), coll(
% 7.36/7.73 skol11( X, T, Z ), Z, X ) }.
% 7.36/7.73 parent0: (43275) {G0,W11,D3,L2,V4,M2} { ! alpha1( X, Y, Z ), coll( skol11
% 7.36/7.73 ( X, T, Z ), Z, X ) }.
% 7.36/7.73 substitution0:
% 7.36/7.73 X := X
% 7.36/7.73 Y := Y
% 7.36/7.73 Z := Z
% 7.36/7.73 T := T
% 7.36/7.73 end
% 7.36/7.73 permutation0:
% 7.36/7.73 0 ==> 0
% 7.36/7.73 1 ==> 1
% 7.36/7.73 end
% 7.36/7.73
% 7.36/7.73 subsumption: (100) {G0,W12,D3,L2,V4,M2} I { ! circle( Y, X, Z, T ), perp(
% 7.36/7.73 skol12( X, Y ), X, X, Y ) }.
% 7.36/7.73 parent0: (43278) {G0,W12,D3,L2,V4,M2} { ! circle( Y, X, Z, T ), perp(
% 7.36/7.73 skol12( X, Y ), X, X, Y ) }.
% 7.36/7.73 substitution0:
% 7.36/7.73 X := X
% 7.36/7.73 Y := Y
% 7.36/7.73 Z := Z
% 7.36/7.73 T := T
% 7.36/7.73 end
% 7.36/7.73 permutation0:
% 7.36/7.73 0 ==> 0
% 7.36/7.73 1 ==> 1
% 7.36/7.73 end
% 7.36/7.73
% 7.36/7.73 subsumption: (119) {G0,W5,D2,L1,V0,M1} I { circle( skol26, skol25, skol28,
% 7.36/7.73 skol29 ) }.
% 7.36/7.73 parent0: (43297) {G0,W5,D2,L1,V0,M1} { circle( skol26, skol25, skol28,
% 7.36/7.73 skol29 ) }.
% 7.36/7.73 substitution0:
% 7.36/7.73 end
% 7.36/7.73 permutation0:
% 7.36/7.73 0 ==> 0
% 7.36/7.73 end
% 7.36/7.73
% 7.36/7.73 subsumption: (125) {G0,W5,D2,L1,V0,M1} I { ! cyclic( skol20, skol23, skol24
% 7.36/7.73 , skol22 ) }.
% 7.36/7.73 parent0: (43303) {G0,W5,D2,L1,V0,M1} { ! cyclic( skol20, skol23, skol24,
% 7.36/7.73 skol22 ) }.
% 7.36/7.73 substitution0:
% 7.36/7.73 end
% 7.36/7.73 permutation0:
% 7.36/7.73 0 ==> 0
% 7.36/7.73 end
% 7.36/7.73
% 7.36/7.73 resolution: (43600) {G1,W12,D2,L3,V4,M3} { coll( X, Z, Y ), ! coll( Z, T,
% 7.36/7.73 X ), ! coll( Z, T, Y ) }.
% 7.36/7.73 parent0[0]: (0) {G0,W8,D2,L2,V3,M2} I { ! coll( X, Y, Z ), coll( X, Z, Y )
% 7.36/7.73 }.
% 7.36/7.73 parent1[2]: (2) {G0,W12,D2,L3,V4,M3} I { ! coll( X, T, Y ), ! coll( X, T, Z
% 7.36/7.73 ), coll( Y, Z, X ) }.
% 7.36/7.73 substitution0:
% 7.36/7.73 X := X
% 7.36/7.73 Y := Y
% 7.36/7.73 Z := Z
% 7.36/7.73 end
% 7.36/7.73 substitution1:
% 7.36/7.73 X := Z
% 7.36/7.73 Y := X
% 7.36/7.73 Z := Y
% 7.36/7.73 T := T
% 7.36/7.73 end
% 7.36/7.73
% 7.36/7.73 subsumption: (202) {G1,W12,D2,L3,V4,M3} R(2,0) { ! coll( X, Y, Z ), ! coll
% 7.36/7.73 ( X, Y, T ), coll( Z, X, T ) }.
% 7.36/7.73 parent0: (43600) {G1,W12,D2,L3,V4,M3} { coll( X, Z, Y ), ! coll( Z, T, X )
% 7.36/7.73 , ! coll( Z, T, Y ) }.
% 7.36/7.73 substitution0:
% 7.36/7.73 X := Z
% 7.36/7.73 Y := T
% 7.36/7.73 Z := X
% 7.36/7.73 T := Y
% 7.36/7.73 end
% 7.36/7.73 permutation0:
% 7.36/7.73 0 ==> 2
% 7.36/7.73 1 ==> 0
% 7.36/7.73 2 ==> 1
% 7.36/7.73 end
% 7.36/7.73
% 7.36/7.73 factor: (43602) {G1,W8,D2,L2,V3,M2} { ! coll( X, Y, Z ), coll( Z, X, Z )
% 7.36/7.73 }.
% 7.36/7.73 parent0[0, 1]: (202) {G1,W12,D2,L3,V4,M3} R(2,0) { ! coll( X, Y, Z ), !
% 7.36/7.73 coll( X, Y, T ), coll( Z, X, T ) }.
% 7.36/7.73 substitution0:
% 7.36/7.73 X := X
% 7.36/7.73 Y := Y
% 7.36/7.73 Z := Z
% 7.36/7.73 T := Z
% 7.36/7.73 end
% 7.36/7.73
% 7.36/7.73 subsumption: (211) {G2,W8,D2,L2,V3,M2} F(202) { ! coll( X, Y, Z ), coll( Z
% 7.36/7.73 , X, Z ) }.
% 7.36/7.73 parent0: (43602) {G1,W8,D2,L2,V3,M2} { ! coll( X, Y, Z ), coll( Z, X, Z )
% 7.36/7.73 }.
% 7.36/7.73 substitution0:
% 7.36/7.73 X := X
% 7.36/7.73 Y := Y
% 7.36/7.73 Z := Z
% 7.36/7.73 end
% 7.36/7.73 permutation0:
% 7.36/7.73 0 ==> 0
% 7.36/7.73 1 ==> 1
% 7.36/7.73 end
% 7.36/7.73
% 7.36/7.73 resolution: (43603) {G1,W10,D2,L2,V4,M2} { perp( Z, T, X, Y ), ! perp( X,
% 7.36/7.73 Y, T, Z ) }.
% 7.36/7.73 parent0[0]: (7) {G0,W10,D2,L2,V4,M2} I { ! perp( X, Y, Z, T ), perp( Z, T,
% 7.36/7.73 X, Y ) }.
% 7.36/7.73 parent1[1]: (6) {G0,W10,D2,L2,V4,M2} I { ! perp( X, Y, Z, T ), perp( X, Y,
% 7.36/7.73 T, Z ) }.
% 7.36/7.73 substitution0:
% 7.36/7.73 X := X
% 7.36/7.73 Y := Y
% 7.36/7.73 Z := Z
% 7.36/7.73 T := T
% 7.36/7.73 end
% 7.36/7.73 substitution1:
% 7.36/7.73 X := X
% 7.36/7.73 Y := Y
% 7.36/7.73 Z := T
% 7.36/7.73 T := Z
% 7.36/7.73 end
% 7.36/7.73
% 7.36/7.73 subsumption: (259) {G1,W10,D2,L2,V4,M2} R(7,6) { perp( X, Y, Z, T ), ! perp
% 7.36/7.73 ( Z, T, Y, X ) }.
% 7.36/7.73 parent0: (43603) {G1,W10,D2,L2,V4,M2} { perp( Z, T, X, Y ), ! perp( X, Y,
% 7.36/7.73 T, Z ) }.
% 7.36/7.73 substitution0:
% 7.36/7.73 X := Z
% 7.36/7.73 Y := T
% 7.36/7.73 Z := X
% 7.36/7.73 T := Y
% 7.36/7.73 end
% 7.36/7.73 permutation0:
% 7.36/7.73 0 ==> 0
% 7.36/7.73 1 ==> 1
% 7.36/7.73 end
% 7.36/7.73
% 7.36/7.73 resolution: (43605) {G1,W15,D2,L3,V6,M3} { ! perp( X, Y, Z, T ), para( X,
% 7.36/7.73 Y, U, W ), ! perp( U, W, Z, T ) }.
% 7.36/7.73 parent0[1]: (8) {G0,W15,D2,L3,V6,M3} I { ! perp( X, Y, U, W ), ! perp( U, W
% 7.36/7.73 , Z, T ), para( X, Y, Z, T ) }.
% 7.36/7.73 parent1[1]: (7) {G0,W10,D2,L2,V4,M2} I { ! perp( X, Y, Z, T ), perp( Z, T,
% 7.36/7.73 X, Y ) }.
% 7.36/7.73 substitution0:
% 7.36/7.73 X := X
% 7.36/7.73 Y := Y
% 7.36/7.73 Z := U
% 7.36/7.73 T := W
% 7.36/7.73 U := Z
% 7.36/7.73 W := T
% 7.36/7.73 end
% 7.36/7.73 substitution1:
% 7.36/7.73 X := U
% 7.36/7.73 Y := W
% 7.36/7.73 Z := Z
% 7.36/7.73 T := T
% 7.36/7.73 end
% 7.36/7.73
% 7.36/7.73 subsumption: (277) {G1,W15,D2,L3,V6,M3} R(8,7) { ! perp( X, Y, Z, T ), para
% 7.36/7.73 ( X, Y, U, W ), ! perp( U, W, Z, T ) }.
% 7.36/7.73 parent0: (43605) {G1,W15,D2,L3,V6,M3} { ! perp( X, Y, Z, T ), para( X, Y,
% 7.36/7.73 U, W ), ! perp( U, W, Z, T ) }.
% 7.36/7.73 substitution0:
% 7.36/7.73 X := X
% 7.36/7.73 Y := Y
% 7.36/7.73 Z := Z
% 7.36/7.73 T := T
% 7.36/7.73 U := U
% 7.36/7.73 W := W
% 7.36/7.73 end
% 7.36/7.73 permutation0:
% 7.36/7.73 0 ==> 0
% 7.36/7.73 1 ==> 1
% 7.36/7.73 2 ==> 2
% 7.36/7.73 end
% 7.36/7.73
% 7.36/7.73 factor: (43608) {G1,W10,D2,L2,V4,M2} { ! perp( X, Y, Z, T ), para( X, Y, X
% 7.36/7.73 , Y ) }.
% 7.36/7.73 parent0[0, 2]: (277) {G1,W15,D2,L3,V6,M3} R(8,7) { ! perp( X, Y, Z, T ),
% 7.36/7.73 para( X, Y, U, W ), ! perp( U, W, Z, T ) }.
% 7.36/7.73 substitution0:
% 7.36/7.73 X := X
% 7.36/7.73 Y := Y
% 7.36/7.73 Z := Z
% 7.36/7.73 T := T
% 7.36/7.73 U := X
% 7.36/7.73 W := Y
% 7.36/7.73 end
% 7.36/7.73
% 7.36/7.73 subsumption: (297) {G2,W10,D2,L2,V4,M2} F(277) { ! perp( X, Y, Z, T ), para
% 7.36/7.73 ( X, Y, X, Y ) }.
% 7.36/7.73 parent0: (43608) {G1,W10,D2,L2,V4,M2} { ! perp( X, Y, Z, T ), para( X, Y,
% 7.36/7.73 X, Y ) }.
% 7.36/7.73 substitution0:
% 7.36/7.73 X := X
% 7.36/7.73 Y := Y
% 7.36/7.73 Z := Z
% 7.36/7.73 T := T
% 7.36/7.73 end
% 7.36/7.73 permutation0:
% 7.36/7.73 0 ==> 0
% 7.36/7.73 1 ==> 1
% 7.36/7.73 end
% 7.36/7.73
% 7.36/7.73 resolution: (43609) {G1,W12,D2,L3,V4,M3} { coll( Z, X, Z ), ! coll( Z, T,
% 7.36/7.73 X ), ! coll( Z, T, Y ) }.
% 7.36/7.73 parent0[0]: (211) {G2,W8,D2,L2,V3,M2} F(202) { ! coll( X, Y, Z ), coll( Z,
% 7.36/7.73 X, Z ) }.
% 7.36/7.73 parent1[2]: (2) {G0,W12,D2,L3,V4,M3} I { ! coll( X, T, Y ), ! coll( X, T, Z
% 7.36/7.73 ), coll( Y, Z, X ) }.
% 7.36/7.73 substitution0:
% 7.36/7.73 X := X
% 7.36/7.73 Y := Y
% 7.36/7.73 Z := Z
% 7.36/7.73 end
% 7.36/7.73 substitution1:
% 7.36/7.73 X := Z
% 7.36/7.73 Y := X
% 7.36/7.73 Z := Y
% 7.36/7.73 T := T
% 7.36/7.73 end
% 7.36/7.73
% 7.36/7.73 subsumption: (380) {G3,W12,D2,L3,V4,M3} R(211,2) { coll( X, Y, X ), ! coll
% 7.36/7.73 ( X, Z, Y ), ! coll( X, Z, T ) }.
% 7.36/7.73 parent0: (43609) {G1,W12,D2,L3,V4,M3} { coll( Z, X, Z ), ! coll( Z, T, X )
% 7.36/7.73 , ! coll( Z, T, Y ) }.
% 7.36/7.73 substitution0:
% 7.36/7.73 X := Y
% 7.36/7.73 Y := Y
% 7.36/7.73 Z := X
% 7.36/7.73 T := Z
% 7.36/7.73 end
% 7.36/7.73 permutation0:
% 7.36/7.73 0 ==> 0
% 7.36/7.73 1 ==> 1
% 7.36/7.73 2 ==> 1
% 7.36/7.73 end
% 7.36/7.73
% 7.36/7.73 factor: (43611) {G3,W8,D2,L2,V3,M2} { coll( X, Y, X ), ! coll( X, Z, Y )
% 7.36/7.73 }.
% 7.36/7.73 parent0[1, 2]: (380) {G3,W12,D2,L3,V4,M3} R(211,2) { coll( X, Y, X ), !
% 7.36/7.73 coll( X, Z, Y ), ! coll( X, Z, T ) }.
% 7.36/7.73 substitution0:
% 7.36/7.73 X := X
% 7.36/7.73 Y := Y
% 7.36/7.73 Z := Z
% 7.36/7.73 T := Y
% 7.36/7.73 end
% 7.36/7.73
% 7.36/7.73 subsumption: (397) {G4,W8,D2,L2,V3,M2} F(380) { coll( X, Y, X ), ! coll( X
% 7.36/7.73 , Z, Y ) }.
% 7.36/7.73 parent0: (43611) {G3,W8,D2,L2,V3,M2} { coll( X, Y, X ), ! coll( X, Z, Y )
% 7.36/7.73 }.
% 7.36/7.73 substitution0:
% 7.36/7.73 X := X
% 7.36/7.73 Y := Y
% 7.36/7.73 Z := Z
% 7.36/7.73 end
% 7.36/7.73 permutation0:
% 7.36/7.73 0 ==> 0
% 7.36/7.73 1 ==> 1
% 7.36/7.73 end
% 7.36/7.73
% 7.36/7.73 resolution: (43613) {G1,W10,D2,L2,V4,M2} { cyclic( X, Y, T, Z ), ! cyclic
% 7.36/7.73 ( X, Z, Y, T ) }.
% 7.36/7.73 parent0[0]: (13) {G0,W10,D2,L2,V4,M2} I { ! cyclic( X, Y, Z, T ), cyclic( X
% 7.36/7.73 , Y, T, Z ) }.
% 7.36/7.73 parent1[1]: (14) {G0,W10,D2,L2,V4,M2} I { ! cyclic( X, Y, Z, T ), cyclic( X
% 7.36/7.73 , Z, Y, T ) }.
% 7.36/7.73 substitution0:
% 7.36/7.73 X := X
% 7.36/7.73 Y := Y
% 7.36/7.73 Z := Z
% 7.36/7.73 T := T
% 7.36/7.73 end
% 7.36/7.73 substitution1:
% 7.36/7.73 X := X
% 7.36/7.73 Y := Z
% 7.36/7.73 Z := Y
% 7.36/7.73 T := T
% 7.36/7.73 end
% 7.36/7.73
% 7.36/7.73 subsumption: (418) {G1,W10,D2,L2,V4,M2} R(14,13) { ! cyclic( X, Y, Z, T ),
% 7.36/7.73 cyclic( X, Z, T, Y ) }.
% 7.36/7.73 parent0: (43613) {G1,W10,D2,L2,V4,M2} { cyclic( X, Y, T, Z ), ! cyclic( X
% 7.36/7.73 , Z, Y, T ) }.
% 7.36/7.73 substitution0:
% 7.36/7.73 X := X
% 7.36/7.73 Y := Z
% 7.36/7.73 Z := Y
% 7.36/7.73 T := T
% 7.36/7.73 end
% 7.36/7.73 permutation0:
% 7.36/7.73 0 ==> 1
% 7.36/7.73 1 ==> 0
% 7.36/7.73 end
% 7.36/7.73
% 7.36/7.73 resolution: (43614) {G1,W10,D2,L2,V4,M2} { cyclic( Y, X, Z, T ), ! cyclic
% 7.36/7.73 ( X, Z, Y, T ) }.
% 7.36/7.73 parent0[0]: (15) {G0,W10,D2,L2,V4,M2} I { ! cyclic( X, Y, Z, T ), cyclic( Y
% 7.36/7.73 , X, Z, T ) }.
% 7.36/7.73 parent1[1]: (14) {G0,W10,D2,L2,V4,M2} I { ! cyclic( X, Y, Z, T ), cyclic( X
% 7.36/7.73 , Z, Y, T ) }.
% 7.36/7.73 substitution0:
% 7.36/7.73 X := X
% 7.36/7.73 Y := Y
% 7.36/7.73 Z := Z
% 7.36/7.73 T := T
% 7.36/7.73 end
% 7.36/7.73 substitution1:
% 7.36/7.73 X := X
% 7.36/7.73 Y := Z
% 7.36/7.73 Z := Y
% 7.36/7.73 T := T
% 7.36/7.73 end
% 7.36/7.73
% 7.36/7.73 subsumption: (427) {G1,W10,D2,L2,V4,M2} R(15,14) { cyclic( X, Y, Z, T ), !
% 7.36/7.73 cyclic( Y, Z, X, T ) }.
% 7.36/7.73 parent0: (43614) {G1,W10,D2,L2,V4,M2} { cyclic( Y, X, Z, T ), ! cyclic( X
% 7.36/7.73 , Z, Y, T ) }.
% 7.36/7.73 substitution0:
% 7.36/7.73 X := Y
% 7.36/7.73 Y := X
% 7.36/7.73 Z := Z
% 7.36/7.73 T := T
% 7.36/7.73 end
% 7.36/7.73 permutation0:
% 7.36/7.73 0 ==> 0
% 7.36/7.73 1 ==> 1
% 7.36/7.73 end
% 7.36/7.73
% 7.36/7.73 resolution: (43615) {G1,W10,D2,L2,V4,M2} { cyclic( Y, X, Z, T ), ! cyclic
% 7.36/7.73 ( X, Y, T, Z ) }.
% 7.36/7.73 parent0[0]: (15) {G0,W10,D2,L2,V4,M2} I { ! cyclic( X, Y, Z, T ), cyclic( Y
% 7.36/7.73 , X, Z, T ) }.
% 7.36/7.73 parent1[1]: (13) {G0,W10,D2,L2,V4,M2} I { ! cyclic( X, Y, Z, T ), cyclic( X
% 7.36/7.73 , Y, T, Z ) }.
% 7.36/7.73 substitution0:
% 7.36/7.73 X := X
% 7.36/7.73 Y := Y
% 7.36/7.73 Z := Z
% 7.36/7.73 T := T
% 7.36/7.73 end
% 7.36/7.73 substitution1:
% 7.36/7.73 X := X
% 7.36/7.73 Y := Y
% 7.36/7.73 Z := T
% 7.36/7.73 T := Z
% 7.36/7.73 end
% 7.36/7.73
% 7.36/7.73 subsumption: (429) {G1,W10,D2,L2,V4,M2} R(15,13) { cyclic( X, Y, Z, T ), !
% 7.36/7.73 cyclic( Y, X, T, Z ) }.
% 7.36/7.73 parent0: (43615) {G1,W10,D2,L2,V4,M2} { cyclic( Y, X, Z, T ), ! cyclic( X
% 7.36/7.73 , Y, T, Z ) }.
% 7.36/7.73 substitution0:
% 7.36/7.73 X := Y
% 7.36/7.73 Y := X
% 7.36/7.73 Z := Z
% 7.36/7.73 T := T
% 7.36/7.73 end
% 7.36/7.73 permutation0:
% 7.36/7.73 0 ==> 0
% 7.36/7.73 1 ==> 1
% 7.36/7.73 end
% 7.36/7.73
% 7.36/7.73 resolution: (43616) {G1,W5,D2,L1,V0,M1} { ! cyclic( skol23, skol20, skol24
% 7.36/7.73 , skol22 ) }.
% 7.36/7.73 parent0[0]: (125) {G0,W5,D2,L1,V0,M1} I { ! cyclic( skol20, skol23, skol24
% 7.36/7.73 , skol22 ) }.
% 7.36/7.73 parent1[1]: (15) {G0,W10,D2,L2,V4,M2} I { ! cyclic( X, Y, Z, T ), cyclic( Y
% 7.36/7.73 , X, Z, T ) }.
% 7.36/7.73 substitution0:
% 7.36/7.73 end
% 7.36/7.73 substitution1:
% 7.36/7.73 X := skol23
% 7.36/7.73 Y := skol20
% 7.36/7.73 Z := skol24
% 7.36/7.73 T := skol22
% 7.36/7.73 end
% 7.36/7.73
% 7.36/7.73 subsumption: (431) {G1,W5,D2,L1,V0,M1} R(15,125) { ! cyclic( skol23, skol20
% 7.36/7.73 , skol24, skol22 ) }.
% 7.36/7.73 parent0: (43616) {G1,W5,D2,L1,V0,M1} { ! cyclic( skol23, skol20, skol24,
% 7.36/7.73 skol22 ) }.
% 7.36/7.73 substitution0:
% 7.36/7.73 end
% 7.36/7.73 permutation0:
% 7.36/7.73 0 ==> 0
% 7.36/7.73 end
% 7.36/7.73
% 7.36/7.73 resolution: (43620) {G1,W15,D2,L3,V5,M3} { cyclic( Y, X, Z, T ), ! cyclic
% 7.36/7.73 ( U, X, Y, Z ), ! cyclic( U, X, Y, T ) }.
% 7.36/7.73 parent0[0]: (15) {G0,W10,D2,L2,V4,M2} I { ! cyclic( X, Y, Z, T ), cyclic( Y
% 7.36/7.73 , X, Z, T ) }.
% 7.36/7.73 parent1[2]: (16) {G0,W15,D2,L3,V5,M3} I { ! cyclic( U, X, Y, Z ), ! cyclic
% 7.36/7.73 ( U, X, Y, T ), cyclic( X, Y, Z, T ) }.
% 7.36/7.73 substitution0:
% 7.36/7.73 X := X
% 7.36/7.73 Y := Y
% 7.36/7.73 Z := Z
% 7.36/7.73 T := T
% 7.36/7.73 end
% 7.36/7.73 substitution1:
% 7.36/7.73 X := X
% 7.36/7.73 Y := Y
% 7.36/7.73 Z := Z
% 7.36/7.73 T := T
% 7.36/7.73 U := U
% 7.36/7.73 end
% 7.36/7.73
% 7.36/7.73 subsumption: (447) {G1,W15,D2,L3,V5,M3} R(16,15) { ! cyclic( X, Y, Z, T ),
% 7.36/7.73 ! cyclic( X, Y, Z, U ), cyclic( Z, Y, T, U ) }.
% 7.36/7.73 parent0: (43620) {G1,W15,D2,L3,V5,M3} { cyclic( Y, X, Z, T ), ! cyclic( U
% 7.36/7.73 , X, Y, Z ), ! cyclic( U, X, Y, T ) }.
% 7.36/7.73 substitution0:
% 7.36/7.73 X := Y
% 7.36/7.73 Y := Z
% 7.36/7.73 Z := T
% 7.36/7.73 T := U
% 7.36/7.73 U := X
% 7.36/7.73 end
% 7.36/7.73 permutation0:
% 7.36/7.73 0 ==> 2
% 7.36/7.73 1 ==> 0
% 7.36/7.73 2 ==> 1
% 7.36/7.73 end
% 7.36/7.73
% 7.36/7.73 resolution: (43623) {G1,W15,D2,L3,V5,M3} { ! cyclic( X, Y, Z, T ), cyclic
% 7.36/7.73 ( Y, Z, T, U ), ! cyclic( X, Y, U, Z ) }.
% 7.36/7.73 parent0[1]: (16) {G0,W15,D2,L3,V5,M3} I { ! cyclic( U, X, Y, Z ), ! cyclic
% 7.36/7.73 ( U, X, Y, T ), cyclic( X, Y, Z, T ) }.
% 7.36/7.73 parent1[1]: (13) {G0,W10,D2,L2,V4,M2} I { ! cyclic( X, Y, Z, T ), cyclic( X
% 7.36/7.73 , Y, T, Z ) }.
% 7.36/7.73 substitution0:
% 7.36/7.73 X := Y
% 7.36/7.73 Y := Z
% 7.36/7.73 Z := T
% 7.36/7.73 T := U
% 7.36/7.73 U := X
% 7.36/7.73 end
% 7.36/7.73 substitution1:
% 7.36/7.73 X := X
% 7.36/7.73 Y := Y
% 7.36/7.73 Z := U
% 7.36/7.73 T := Z
% 7.36/7.73 end
% 7.36/7.73
% 7.36/7.73 subsumption: (452) {G1,W15,D2,L3,V5,M3} R(16,13) { ! cyclic( X, Y, Z, T ),
% 7.36/7.73 cyclic( Y, Z, T, U ), ! cyclic( X, Y, U, Z ) }.
% 7.36/7.73 parent0: (43623) {G1,W15,D2,L3,V5,M3} { ! cyclic( X, Y, Z, T ), cyclic( Y
% 7.36/7.73 , Z, T, U ), ! cyclic( X, Y, U, Z ) }.
% 7.36/7.73 substitution0:
% 7.36/7.73 X := X
% 7.36/7.73 Y := Y
% 7.36/7.73 Z := Z
% 7.36/7.73 T := T
% 7.36/7.73 U := U
% 7.36/7.73 end
% 7.36/7.73 permutation0:
% 7.36/7.73 0 ==> 0
% 7.36/7.73 1 ==> 1
% 7.36/7.73 2 ==> 2
% 7.36/7.73 end
% 7.36/7.73
% 7.36/7.73 factor: (43625) {G1,W10,D2,L2,V4,M2} { ! cyclic( X, Y, Z, T ), cyclic( Z,
% 7.36/7.73 Y, T, T ) }.
% 7.36/7.73 parent0[0, 1]: (447) {G1,W15,D2,L3,V5,M3} R(16,15) { ! cyclic( X, Y, Z, T )
% 7.36/7.73 , ! cyclic( X, Y, Z, U ), cyclic( Z, Y, T, U ) }.
% 7.36/7.73 substitution0:
% 7.36/7.73 X := X
% 7.36/7.73 Y := Y
% 7.36/7.73 Z := Z
% 7.36/7.73 T := T
% 7.36/7.73 U := T
% 7.36/7.73 end
% 7.36/7.73
% 7.36/7.73 subsumption: (457) {G2,W10,D2,L2,V4,M2} F(447) { ! cyclic( X, Y, Z, T ),
% 7.36/7.73 cyclic( Z, Y, T, T ) }.
% 7.36/7.73 parent0: (43625) {G1,W10,D2,L2,V4,M2} { ! cyclic( X, Y, Z, T ), cyclic( Z
% 7.36/7.73 , Y, T, T ) }.
% 7.36/7.73 substitution0:
% 7.36/7.73 X := X
% 7.36/7.73 Y := Y
% 7.36/7.73 Z := Z
% 7.36/7.73 T := T
% 7.36/7.73 end
% 7.36/7.73 permutation0:
% 7.36/7.73 0 ==> 0
% 7.36/7.73 1 ==> 1
% 7.36/7.73 end
% 7.36/7.73
% 7.36/7.73 resolution: (43626) {G1,W5,D2,L1,V0,M1} { ! cyclic( skol23, skol24, skol20
% 7.36/7.73 , skol22 ) }.
% 7.36/7.73 parent0[0]: (431) {G1,W5,D2,L1,V0,M1} R(15,125) { ! cyclic( skol23, skol20
% 7.36/7.73 , skol24, skol22 ) }.
% 7.36/7.73 parent1[1]: (14) {G0,W10,D2,L2,V4,M2} I { ! cyclic( X, Y, Z, T ), cyclic( X
% 7.36/7.73 , Z, Y, T ) }.
% 7.36/7.73 substitution0:
% 7.36/7.73 end
% 7.36/7.73 substitution1:
% 7.36/7.73 X := skol23
% 7.36/7.73 Y := skol24
% 7.36/7.73 Z := skol20
% 7.36/7.73 T := skol22
% 7.36/7.73 end
% 7.36/7.73
% 7.36/7.73 subsumption: (656) {G2,W5,D2,L1,V0,M1} R(431,14) { ! cyclic( skol23, skol24
% 7.36/7.73 , skol20, skol22 ) }.
% 7.36/7.73 parent0: (43626) {G1,W5,D2,L1,V0,M1} { ! cyclic( skol23, skol24, skol20,
% 7.36/7.73 skol22 ) }.
% 7.36/7.73 substitution0:
% 7.36/7.73 end
% 7.36/7.73 permutation0:
% 7.36/7.73 0 ==> 0
% 7.36/7.73 end
% 7.36/7.73
% 7.36/7.73 resolution: (43627) {G1,W5,D2,L1,V0,M1} { ! cyclic( skol24, skol23, skol20
% 7.36/7.73 , skol22 ) }.
% 7.36/7.73 parent0[0]: (656) {G2,W5,D2,L1,V0,M1} R(431,14) { ! cyclic( skol23, skol24
% 7.36/7.73 , skol20, skol22 ) }.
% 7.36/7.73 parent1[1]: (15) {G0,W10,D2,L2,V4,M2} I { ! cyclic( X, Y, Z, T ), cyclic( Y
% 7.36/7.73 , X, Z, T ) }.
% 7.36/7.73 substitution0:
% 7.36/7.73 end
% 7.36/7.73 substitution1:
% 7.36/7.73 X := skol24
% 7.36/7.73 Y := skol23
% 7.36/7.73 Z := skol20
% 7.36/7.73 T := skol22
% 7.36/7.73 end
% 7.36/7.73
% 7.36/7.73 subsumption: (660) {G3,W5,D2,L1,V0,M1} R(656,15) { ! cyclic( skol24, skol23
% 7.36/7.73 , skol20, skol22 ) }.
% 7.36/7.73 parent0: (43627) {G1,W5,D2,L1,V0,M1} { ! cyclic( skol24, skol23, skol20,
% 7.36/7.73 skol22 ) }.
% 7.36/7.73 substitution0:
% 7.36/7.73 end
% 7.36/7.73 permutation0:
% 7.36/7.73 0 ==> 0
% 7.36/7.73 end
% 7.36/7.73
% 7.36/7.73 resolution: (43628) {G1,W5,D2,L1,V0,M1} { ! cyclic( skol24, skol20, skol23
% 7.36/7.73 , skol22 ) }.
% 7.36/7.73 parent0[0]: (660) {G3,W5,D2,L1,V0,M1} R(656,15) { ! cyclic( skol24, skol23
% 7.36/7.73 , skol20, skol22 ) }.
% 7.36/7.73 parent1[1]: (14) {G0,W10,D2,L2,V4,M2} I { ! cyclic( X, Y, Z, T ), cyclic( X
% 7.36/7.73 , Z, Y, T ) }.
% 7.36/7.73 substitution0:
% 7.36/7.73 end
% 7.36/7.73 substitution1:
% 7.36/7.73 X := skol24
% 7.36/7.73 Y := skol20
% 7.36/7.73 Z := skol23
% 7.36/7.73 T := skol22
% 7.36/7.73 end
% 7.36/7.73
% 7.36/7.73 subsumption: (665) {G4,W5,D2,L1,V0,M1} R(660,14) { ! cyclic( skol24, skol20
% 7.36/7.73 , skol23, skol22 ) }.
% 7.36/7.73 parent0: (43628) {G1,W5,D2,L1,V0,M1} { ! cyclic( skol24, skol20, skol23,
% 7.36/7.73 skol22 ) }.
% 7.36/7.73 substitution0:
% 7.36/7.73 end
% 7.36/7.73 permutation0:
% 7.36/7.73 0 ==> 0
% 7.36/7.73 end
% 7.36/7.73
% 7.36/7.73 resolution: (43629) {G1,W5,D2,L1,V0,M1} { ! cyclic( skol24, skol20, skol22
% 7.36/7.73 , skol23 ) }.
% 7.36/7.73 parent0[0]: (665) {G4,W5,D2,L1,V0,M1} R(660,14) { ! cyclic( skol24, skol20
% 7.36/7.73 , skol23, skol22 ) }.
% 7.36/7.73 parent1[1]: (13) {G0,W10,D2,L2,V4,M2} I { ! cyclic( X, Y, Z, T ), cyclic( X
% 7.36/7.73 , Y, T, Z ) }.
% 7.36/7.73 substitution0:
% 7.36/7.73 end
% 7.36/7.73 substitution1:
% 7.36/7.73 X := skol24
% 7.36/7.73 Y := skol20
% 7.36/7.73 Z := skol22
% 7.36/7.73 T := skol23
% 7.36/7.73 end
% 7.36/7.73
% 7.36/7.73 subsumption: (669) {G5,W5,D2,L1,V0,M1} R(665,13) { ! cyclic( skol24, skol20
% 7.36/7.73 , skol22, skol23 ) }.
% 7.36/7.73 parent0: (43629) {G1,W5,D2,L1,V0,M1} { ! cyclic( skol24, skol20, skol22,
% 7.36/7.73 skol23 ) }.
% 7.36/7.73 substitution0:
% 7.36/7.73 end
% 7.36/7.73 permutation0:
% 7.36/7.73 0 ==> 0
% 7.36/7.73 end
% 7.36/7.73
% 7.36/7.73 resolution: (43630) {G1,W5,D2,L1,V0,M1} { ! cyclic( skol20, skol24, skol22
% 7.36/7.73 , skol23 ) }.
% 7.36/7.73 parent0[0]: (669) {G5,W5,D2,L1,V0,M1} R(665,13) { ! cyclic( skol24, skol20
% 7.36/7.73 , skol22, skol23 ) }.
% 7.36/7.73 parent1[1]: (15) {G0,W10,D2,L2,V4,M2} I { ! cyclic( X, Y, Z, T ), cyclic( Y
% 7.36/7.73 , X, Z, T ) }.
% 7.36/7.73 substitution0:
% 7.36/7.73 end
% 7.36/7.73 substitution1:
% 7.36/7.73 X := skol20
% 7.36/7.73 Y := skol24
% 7.36/7.73 Z := skol22
% 7.36/7.73 T := skol23
% 7.36/7.73 end
% 7.36/7.73
% 7.36/7.73 subsumption: (670) {G6,W5,D2,L1,V0,M1} R(669,15) { ! cyclic( skol20, skol24
% 7.36/7.73 , skol22, skol23 ) }.
% 7.36/7.73 parent0: (43630) {G1,W5,D2,L1,V0,M1} { ! cyclic( skol20, skol24, skol22,
% 7.36/7.73 skol23 ) }.
% 7.36/7.73 substitution0:
% 7.36/7.73 end
% 7.36/7.73 permutation0:
% 7.36/7.73 0 ==> 0
% 7.36/7.73 end
% 7.36/7.73
% 7.36/7.73 resolution: (43631) {G1,W5,D2,L1,V0,M1} { ! cyclic( skol20, skol22, skol24
% 7.36/7.73 , skol23 ) }.
% 7.36/7.73 parent0[0]: (670) {G6,W5,D2,L1,V0,M1} R(669,15) { ! cyclic( skol20, skol24
% 7.36/7.73 , skol22, skol23 ) }.
% 7.36/7.73 parent1[1]: (14) {G0,W10,D2,L2,V4,M2} I { ! cyclic( X, Y, Z, T ), cyclic( X
% 7.36/7.73 , Z, Y, T ) }.
% 7.36/7.73 substitution0:
% 7.36/7.73 end
% 7.36/7.73 substitution1:
% 7.36/7.73 X := skol20
% 7.36/7.73 Y := skol22
% 7.36/7.73 Z := skol24
% 7.36/7.73 T := skol23
% 7.36/7.73 end
% 7.36/7.73
% 7.36/7.73 subsumption: (673) {G7,W5,D2,L1,V0,M1} R(670,14) { ! cyclic( skol20, skol22
% 7.36/7.73 , skol24, skol23 ) }.
% 7.36/7.73 parent0: (43631) {G1,W5,D2,L1,V0,M1} { ! cyclic( skol20, skol22, skol24,
% 7.36/7.73 skol23 ) }.
% 7.36/7.73 substitution0:
% 7.36/7.73 end
% 7.36/7.73 permutation0:
% 7.36/7.73 0 ==> 0
% 7.36/7.73 end
% 7.36/7.73
% 7.36/7.73 resolution: (43632) {G1,W5,D2,L1,V0,M1} { ! cyclic( skol22, skol20, skol24
% 7.36/7.73 , skol23 ) }.
% 7.36/7.73 parent0[0]: (673) {G7,W5,D2,L1,V0,M1} R(670,14) { ! cyclic( skol20, skol22
% 7.36/7.73 , skol24, skol23 ) }.
% 7.36/7.73 parent1[1]: (15) {G0,W10,D2,L2,V4,M2} I { ! cyclic( X, Y, Z, T ), cyclic( Y
% 7.36/7.73 , X, Z, T ) }.
% 7.36/7.73 substitution0:
% 7.36/7.73 end
% 7.36/7.73 substitution1:
% 7.36/7.73 X := skol22
% 7.36/7.73 Y := skol20
% 7.36/7.73 Z := skol24
% 7.36/7.73 T := skol23
% 7.36/7.73 end
% 7.36/7.73
% 7.36/7.73 subsumption: (691) {G8,W5,D2,L1,V0,M1} R(673,15) { ! cyclic( skol22, skol20
% 7.36/7.73 , skol24, skol23 ) }.
% 7.36/7.73 parent0: (43632) {G1,W5,D2,L1,V0,M1} { ! cyclic( skol22, skol20, skol24,
% 7.36/7.73 skol23 ) }.
% 7.36/7.73 substitution0:
% 7.36/7.73 end
% 7.36/7.73 permutation0:
% 7.36/7.73 0 ==> 0
% 7.36/7.73 end
% 7.36/7.73
% 7.36/7.73 resolution: (43633) {G1,W5,D2,L1,V0,M1} { ! cyclic( skol22, skol24, skol20
% 7.36/7.73 , skol23 ) }.
% 7.36/7.73 parent0[0]: (691) {G8,W5,D2,L1,V0,M1} R(673,15) { ! cyclic( skol22, skol20
% 7.36/7.73 , skol24, skol23 ) }.
% 7.36/7.73 parent1[1]: (14) {G0,W10,D2,L2,V4,M2} I { ! cyclic( X, Y, Z, T ), cyclic( X
% 7.36/7.73 , Z, Y, T ) }.
% 7.36/7.73 substitution0:
% 7.36/7.73 end
% 7.36/7.73 substitution1:
% 7.36/7.73 X := skol22
% 7.36/7.73 Y := skol24
% 7.36/7.73 Z := skol20
% 7.36/7.73 T := skol23
% 7.36/7.73 end
% 7.36/7.73
% 7.36/7.73 subsumption: (694) {G9,W5,D2,L1,V0,M1} R(691,14) { ! cyclic( skol22, skol24
% 7.36/7.73 , skol20, skol23 ) }.
% 7.36/7.73 parent0: (43633) {G1,W5,D2,L1,V0,M1} { ! cyclic( skol22, skol24, skol20,
% 7.36/7.73 skol23 ) }.
% 7.36/7.73 substitution0:
% 7.36/7.73 end
% 7.36/7.73 permutation0:
% 7.36/7.73 0 ==> 0
% 7.36/7.73 end
% 7.36/7.73
% 7.36/7.73 resolution: (43634) {G1,W5,D2,L1,V0,M1} { ! cyclic( skol22, skol24, skol23
% 7.36/7.73 , skol20 ) }.
% 7.36/7.73 parent0[0]: (694) {G9,W5,D2,L1,V0,M1} R(691,14) { ! cyclic( skol22, skol24
% 7.36/7.73 , skol20, skol23 ) }.
% 7.36/7.73 parent1[1]: (13) {G0,W10,D2,L2,V4,M2} I { ! cyclic( X, Y, Z, T ), cyclic( X
% 7.36/7.73 , Y, T, Z ) }.
% 7.36/7.73 substitution0:
% 7.36/7.73 end
% 7.36/7.73 substitution1:
% 7.36/7.73 X := skol22
% 7.36/7.73 Y := skol24
% 7.36/7.73 Z := skol23
% 7.36/7.73 T := skol20
% 7.36/7.73 end
% 7.36/7.73
% 7.36/7.73 subsumption: (698) {G10,W5,D2,L1,V0,M1} R(694,13) { ! cyclic( skol22,
% 7.36/7.73 skol24, skol23, skol20 ) }.
% 7.36/7.73 parent0: (43634) {G1,W5,D2,L1,V0,M1} { ! cyclic( skol22, skol24, skol23,
% 7.36/7.73 skol20 ) }.
% 7.36/7.73 substitution0:
% 7.36/7.73 end
% 7.36/7.73 permutation0:
% 7.36/7.73 0 ==> 0
% 7.36/7.73 end
% 7.36/7.73
% 7.36/7.73 resolution: (43635) {G1,W5,D2,L1,V0,M1} { ! cyclic( skol22, skol23, skol24
% 7.36/7.73 , skol20 ) }.
% 7.36/7.73 parent0[0]: (698) {G10,W5,D2,L1,V0,M1} R(694,13) { ! cyclic( skol22, skol24
% 7.36/7.73 , skol23, skol20 ) }.
% 7.36/7.73 parent1[1]: (14) {G0,W10,D2,L2,V4,M2} I { ! cyclic( X, Y, Z, T ), cyclic( X
% 7.36/7.73 , Z, Y, T ) }.
% 7.36/7.73 substitution0:
% 7.36/7.73 end
% 7.36/7.73 substitution1:
% 7.36/7.73 X := skol22
% 7.36/7.73 Y := skol23
% 7.36/7.73 Z := skol24
% 7.36/7.73 T := skol20
% 7.36/7.73 end
% 7.36/7.73
% 7.36/7.73 subsumption: (700) {G11,W5,D2,L1,V0,M1} R(698,14) { ! cyclic( skol22,
% 7.36/7.73 skol23, skol24, skol20 ) }.
% 7.36/7.73 parent0: (43635) {G1,W5,D2,L1,V0,M1} { ! cyclic( skol22, skol23, skol24,
% 7.36/7.73 skol20 ) }.
% 7.36/7.73 substitution0:
% 7.36/7.73 end
% 7.36/7.73 permutation0:
% 7.36/7.73 0 ==> 0
% 7.36/7.73 end
% 7.36/7.73
% 7.36/7.73 resolution: (43636) {G1,W5,D2,L1,V0,M1} { ! cyclic( skol23, skol22, skol24
% 7.36/7.73 , skol20 ) }.
% 7.36/7.73 parent0[0]: (700) {G11,W5,D2,L1,V0,M1} R(698,14) { ! cyclic( skol22, skol23
% 7.36/7.73 , skol24, skol20 ) }.
% 7.36/7.73 parent1[1]: (15) {G0,W10,D2,L2,V4,M2} I { ! cyclic( X, Y, Z, T ), cyclic( Y
% 7.36/7.73 , X, Z, T ) }.
% 7.36/7.73 substitution0:
% 7.36/7.73 end
% 7.36/7.73 substitution1:
% 7.36/7.73 X := skol23
% 7.36/7.73 Y := skol22
% 7.36/7.73 Z := skol24
% 7.36/7.73 T := skol20
% 7.36/7.73 end
% 7.36/7.73
% 7.36/7.73 subsumption: (703) {G12,W5,D2,L1,V0,M1} R(700,15) { ! cyclic( skol23,
% 7.36/7.73 skol22, skol24, skol20 ) }.
% 7.36/7.73 parent0: (43636) {G1,W5,D2,L1,V0,M1} { ! cyclic( skol23, skol22, skol24,
% 7.36/7.73 skol20 ) }.
% 7.36/7.73 substitution0:
% 7.36/7.73 end
% 7.36/7.73 permutation0:
% 7.36/7.73 0 ==> 0
% 7.36/7.73 end
% 7.36/7.73
% 7.36/7.73 resolution: (43637) {G1,W10,D2,L2,V1,M2} { ! cyclic( X, skol23, skol22,
% 7.36/7.73 skol24 ), ! cyclic( X, skol23, skol22, skol20 ) }.
% 7.36/7.73 parent0[0]: (703) {G12,W5,D2,L1,V0,M1} R(700,15) { ! cyclic( skol23, skol22
% 7.36/7.73 , skol24, skol20 ) }.
% 7.36/7.73 parent1[2]: (16) {G0,W15,D2,L3,V5,M3} I { ! cyclic( U, X, Y, Z ), ! cyclic
% 7.36/7.73 ( U, X, Y, T ), cyclic( X, Y, Z, T ) }.
% 7.36/7.73 substitution0:
% 7.36/7.73 end
% 7.36/7.73 substitution1:
% 7.36/7.73 X := skol23
% 7.36/7.73 Y := skol22
% 7.36/7.73 Z := skol24
% 7.36/7.73 T := skol20
% 7.36/7.73 U := X
% 7.36/7.73 end
% 7.36/7.73
% 7.36/7.73 subsumption: (705) {G13,W10,D2,L2,V1,M2} R(703,16) { ! cyclic( X, skol23,
% 7.36/7.73 skol22, skol24 ), ! cyclic( X, skol23, skol22, skol20 ) }.
% 7.36/7.73 parent0: (43637) {G1,W10,D2,L2,V1,M2} { ! cyclic( X, skol23, skol22,
% 7.36/7.73 skol24 ), ! cyclic( X, skol23, skol22, skol20 ) }.
% 7.36/7.73 substitution0:
% 7.36/7.73 X := X
% 7.36/7.73 end
% 7.36/7.73 permutation0:
% 7.36/7.73 0 ==> 0
% 7.36/7.73 1 ==> 1
% 7.36/7.73 end
% 7.36/7.73
% 7.36/7.73 resolution: (43639) {G1,W8,D2,L2,V3,M2} { coll( Y, X, X ), ! coll( X, Z, Y
% 7.36/7.73 ) }.
% 7.36/7.73 parent0[0]: (1) {G0,W8,D2,L2,V3,M2} I { ! coll( X, Y, Z ), coll( Y, X, Z )
% 7.36/7.73 }.
% 7.36/7.73 parent1[0]: (397) {G4,W8,D2,L2,V3,M2} F(380) { coll( X, Y, X ), ! coll( X,
% 7.36/7.73 Z, Y ) }.
% 7.36/7.73 substitution0:
% 7.36/7.73 X := X
% 7.36/7.73 Y := Y
% 7.36/7.73 Z := X
% 7.36/7.73 end
% 7.36/7.73 substitution1:
% 7.36/7.73 X := X
% 7.36/7.73 Y := Y
% 7.36/7.73 Z := Z
% 7.36/7.73 end
% 7.36/7.73
% 7.36/7.73 subsumption: (740) {G5,W8,D2,L2,V3,M2} R(397,1) { ! coll( X, Y, Z ), coll(
% 7.36/7.73 Z, X, X ) }.
% 7.36/7.73 parent0: (43639) {G1,W8,D2,L2,V3,M2} { coll( Y, X, X ), ! coll( X, Z, Y )
% 7.36/7.73 }.
% 7.36/7.73 substitution0:
% 7.36/7.73 X := X
% 7.36/7.73 Y := Z
% 7.36/7.73 Z := Y
% 7.36/7.73 end
% 7.36/7.73 permutation0:
% 7.36/7.73 0 ==> 1
% 7.36/7.73 1 ==> 0
% 7.36/7.73 end
% 7.36/7.73
% 7.36/7.73 resolution: (43640) {G1,W8,D2,L2,V3,M2} { coll( Z, X, X ), ! coll( Y, X, Z
% 7.36/7.73 ) }.
% 7.36/7.73 parent0[0]: (740) {G5,W8,D2,L2,V3,M2} R(397,1) { ! coll( X, Y, Z ), coll( Z
% 7.36/7.73 , X, X ) }.
% 7.36/7.73 parent1[1]: (1) {G0,W8,D2,L2,V3,M2} I { ! coll( X, Y, Z ), coll( Y, X, Z )
% 7.36/7.73 }.
% 7.36/7.73 substitution0:
% 7.36/7.73 X := X
% 7.36/7.73 Y := Y
% 7.36/7.73 Z := Z
% 7.36/7.73 end
% 7.36/7.73 substitution1:
% 7.36/7.73 X := Y
% 7.36/7.73 Y := X
% 7.36/7.73 Z := Z
% 7.36/7.73 end
% 7.36/7.73
% 7.36/7.73 subsumption: (745) {G6,W8,D2,L2,V3,M2} R(740,1) { coll( X, Y, Y ), ! coll(
% 7.36/7.73 Z, Y, X ) }.
% 7.36/7.73 parent0: (43640) {G1,W8,D2,L2,V3,M2} { coll( Z, X, X ), ! coll( Y, X, Z )
% 7.36/7.73 }.
% 7.36/7.73 substitution0:
% 7.36/7.73 X := Y
% 7.36/7.73 Y := Z
% 7.36/7.73 Z := X
% 7.36/7.73 end
% 7.36/7.73 permutation0:
% 7.36/7.73 0 ==> 0
% 7.36/7.73 1 ==> 1
% 7.36/7.73 end
% 7.36/7.73
% 7.36/7.73 resolution: (43641) {G1,W8,D2,L2,V3,M2} { coll( Z, X, X ), ! coll( X, Z, Y
% 7.36/7.73 ) }.
% 7.36/7.73 parent0[0]: (740) {G5,W8,D2,L2,V3,M2} R(397,1) { ! coll( X, Y, Z ), coll( Z
% 7.36/7.73 , X, X ) }.
% 7.36/7.73 parent1[1]: (0) {G0,W8,D2,L2,V3,M2} I { ! coll( X, Y, Z ), coll( X, Z, Y )
% 7.36/7.73 }.
% 7.36/7.73 substitution0:
% 7.36/7.73 X := X
% 7.36/7.73 Y := Y
% 7.36/7.73 Z := Z
% 7.36/7.73 end
% 7.36/7.73 substitution1:
% 7.36/7.73 X := X
% 7.36/7.73 Y := Z
% 7.36/7.73 Z := Y
% 7.36/7.73 end
% 7.36/7.73
% 7.36/7.73 subsumption: (746) {G6,W8,D2,L2,V3,M2} R(740,0) { coll( X, Y, Y ), ! coll(
% 7.36/7.73 Y, X, Z ) }.
% 7.36/7.73 parent0: (43641) {G1,W8,D2,L2,V3,M2} { coll( Z, X, X ), ! coll( X, Z, Y )
% 7.36/7.73 }.
% 7.36/7.73 substitution0:
% 7.36/7.73 X := Y
% 7.36/7.73 Y := Z
% 7.36/7.73 Z := X
% 7.36/7.73 end
% 7.36/7.73 permutation0:
% 7.36/7.73 0 ==> 0
% 7.36/7.73 1 ==> 1
% 7.36/7.73 end
% 7.36/7.73
% 7.36/7.73 resolution: (43642) {G1,W14,D2,L2,V6,M2} { eqangle( Z, T, X, Y, Z, T, U, W
% 7.36/7.73 ), ! para( X, Y, U, W ) }.
% 7.36/7.73 parent0[0]: (18) {G0,W18,D2,L2,V8,M2} I { ! eqangle( X, Y, Z, T, U, W, V0,
% 7.36/7.73 V1 ), eqangle( Z, T, X, Y, V0, V1, U, W ) }.
% 7.36/7.73 parent1[1]: (39) {G0,W14,D2,L2,V6,M2} I { ! para( X, Y, Z, T ), eqangle( X
% 7.36/7.73 , Y, U, W, Z, T, U, W ) }.
% 7.36/7.73 substitution0:
% 7.36/7.73 X := X
% 7.36/7.73 Y := Y
% 7.36/7.73 Z := Z
% 7.36/7.73 T := T
% 7.36/7.73 U := U
% 7.36/7.73 W := W
% 7.36/7.73 V0 := Z
% 7.36/7.73 V1 := T
% 7.36/7.73 end
% 7.36/7.73 substitution1:
% 7.36/7.73 X := X
% 7.36/7.73 Y := Y
% 7.36/7.73 Z := U
% 7.36/7.73 T := W
% 7.36/7.73 U := Z
% 7.36/7.73 W := T
% 7.36/7.73 end
% 7.36/7.73
% 7.36/7.73 subsumption: (755) {G1,W14,D2,L2,V6,M2} R(39,18) { ! para( X, Y, Z, T ),
% 7.36/7.73 eqangle( U, W, X, Y, U, W, Z, T ) }.
% 7.36/7.73 parent0: (43642) {G1,W14,D2,L2,V6,M2} { eqangle( Z, T, X, Y, Z, T, U, W )
% 7.36/7.73 , ! para( X, Y, U, W ) }.
% 7.36/7.73 substitution0:
% 7.36/7.73 X := X
% 7.36/7.73 Y := Y
% 7.36/7.73 Z := U
% 7.36/7.73 T := W
% 7.36/7.73 U := Z
% 7.36/7.73 W := T
% 7.36/7.73 end
% 7.36/7.73 permutation0:
% 7.36/7.73 0 ==> 1
% 7.36/7.73 1 ==> 0
% 7.36/7.73 end
% 7.36/7.73
% 7.36/7.73 resolution: (43643) {G7,W8,D2,L2,V3,M2} { coll( X, Y, Y ), ! coll( X, Y, Z
% 7.36/7.73 ) }.
% 7.36/7.73 parent0[1]: (746) {G6,W8,D2,L2,V3,M2} R(740,0) { coll( X, Y, Y ), ! coll( Y
% 7.36/7.73 , X, Z ) }.
% 7.36/7.73 parent1[0]: (746) {G6,W8,D2,L2,V3,M2} R(740,0) { coll( X, Y, Y ), ! coll( Y
% 7.36/7.73 , X, Z ) }.
% 7.36/7.73 substitution0:
% 7.36/7.73 X := X
% 7.36/7.73 Y := Y
% 7.36/7.73 Z := X
% 7.36/7.73 end
% 7.36/7.73 substitution1:
% 7.36/7.73 X := Y
% 7.36/7.73 Y := X
% 7.36/7.73 Z := Z
% 7.36/7.73 end
% 7.36/7.73
% 7.36/7.73 subsumption: (761) {G7,W8,D2,L2,V3,M2} R(746,746) { ! coll( X, Y, Z ), coll
% 7.36/7.73 ( X, Y, Y ) }.
% 7.36/7.73 parent0: (43643) {G7,W8,D2,L2,V3,M2} { coll( X, Y, Y ), ! coll( X, Y, Z )
% 7.36/7.73 }.
% 7.36/7.73 substitution0:
% 7.36/7.73 X := X
% 7.36/7.73 Y := Y
% 7.36/7.73 Z := Z
% 7.36/7.73 end
% 7.36/7.73 permutation0:
% 7.36/7.73 0 ==> 1
% 7.36/7.73 1 ==> 0
% 7.36/7.73 end
% 7.36/7.73
% 7.36/7.73 resolution: (43647) {G1,W12,D2,L3,V4,M3} { ! coll( X, Y, Z ), coll( Z, Y,
% 7.36/7.73 X ), ! coll( X, Y, T ) }.
% 7.36/7.73 parent0[1]: (2) {G0,W12,D2,L3,V4,M3} I { ! coll( X, T, Y ), ! coll( X, T, Z
% 7.36/7.73 ), coll( Y, Z, X ) }.
% 7.36/7.73 parent1[1]: (761) {G7,W8,D2,L2,V3,M2} R(746,746) { ! coll( X, Y, Z ), coll
% 7.36/7.73 ( X, Y, Y ) }.
% 7.36/7.73 substitution0:
% 7.36/7.73 X := X
% 7.36/7.73 Y := Z
% 7.36/7.73 Z := Y
% 7.36/7.73 T := Y
% 7.36/7.73 end
% 7.36/7.73 substitution1:
% 7.36/7.73 X := X
% 7.36/7.73 Y := Y
% 7.36/7.73 Z := T
% 7.36/7.73 end
% 7.36/7.73
% 7.36/7.73 subsumption: (764) {G8,W12,D2,L3,V4,M3} R(761,2) { ! coll( X, Y, Z ), !
% 7.36/7.73 coll( X, Y, T ), coll( T, Y, X ) }.
% 7.36/7.73 parent0: (43647) {G1,W12,D2,L3,V4,M3} { ! coll( X, Y, Z ), coll( Z, Y, X )
% 7.36/7.73 , ! coll( X, Y, T ) }.
% 7.36/7.73 substitution0:
% 7.36/7.73 X := X
% 7.36/7.73 Y := Y
% 7.36/7.73 Z := T
% 7.36/7.73 T := Z
% 7.36/7.73 end
% 7.36/7.73 permutation0:
% 7.36/7.73 0 ==> 1
% 7.36/7.73 1 ==> 2
% 7.36/7.73 2 ==> 0
% 7.36/7.73 end
% 7.36/7.73
% 7.36/7.73 factor: (43650) {G8,W8,D2,L2,V3,M2} { ! coll( X, Y, Z ), coll( Z, Y, X )
% 7.36/7.73 }.
% 7.36/7.73 parent0[0, 1]: (764) {G8,W12,D2,L3,V4,M3} R(761,2) { ! coll( X, Y, Z ), !
% 7.36/7.73 coll( X, Y, T ), coll( T, Y, X ) }.
% 7.36/7.73 substitution0:
% 7.36/7.73 X := X
% 7.36/7.73 Y := Y
% 7.36/7.73 Z := Z
% 7.36/7.73 T := Z
% 7.36/7.73 end
% 7.36/7.73
% 7.36/7.73 subsumption: (765) {G9,W8,D2,L2,V3,M2} F(764) { ! coll( X, Y, Z ), coll( Z
% 7.36/7.73 , Y, X ) }.
% 7.36/7.73 parent0: (43650) {G8,W8,D2,L2,V3,M2} { ! coll( X, Y, Z ), coll( Z, Y, X )
% 7.36/7.73 }.
% 7.36/7.73 substitution0:
% 7.36/7.73 X := X
% 7.36/7.73 Y := Y
% 7.36/7.73 Z := Z
% 7.36/7.73 end
% 7.36/7.73 permutation0:
% 7.36/7.73 0 ==> 0
% 7.36/7.73 1 ==> 1
% 7.36/7.73 end
% 7.36/7.73
% 7.36/7.73 resolution: (43651) {G7,W8,D2,L2,V3,M2} { coll( Y, Y, X ), ! coll( Z, Y, X
% 7.36/7.73 ) }.
% 7.36/7.73 parent0[0]: (765) {G9,W8,D2,L2,V3,M2} F(764) { ! coll( X, Y, Z ), coll( Z,
% 7.36/7.73 Y, X ) }.
% 7.36/7.73 parent1[0]: (745) {G6,W8,D2,L2,V3,M2} R(740,1) { coll( X, Y, Y ), ! coll( Z
% 7.36/7.73 , Y, X ) }.
% 7.36/7.73 substitution0:
% 7.36/7.73 X := X
% 7.36/7.73 Y := Y
% 7.36/7.73 Z := Y
% 7.36/7.73 end
% 7.36/7.73 substitution1:
% 7.36/7.73 X := X
% 7.36/7.73 Y := Y
% 7.36/7.73 Z := Z
% 7.36/7.73 end
% 7.36/7.73
% 7.36/7.73 subsumption: (769) {G10,W8,D2,L2,V3,M2} R(765,745) { coll( X, X, Y ), !
% 7.36/7.73 coll( Z, X, Y ) }.
% 7.36/7.73 parent0: (43651) {G7,W8,D2,L2,V3,M2} { coll( Y, Y, X ), ! coll( Z, Y, X )
% 7.36/7.73 }.
% 7.36/7.73 substitution0:
% 7.36/7.73 X := Y
% 7.36/7.73 Y := X
% 7.36/7.73 Z := Z
% 7.36/7.73 end
% 7.36/7.73 permutation0:
% 7.36/7.73 0 ==> 0
% 7.36/7.73 1 ==> 1
% 7.36/7.73 end
% 7.36/7.73
% 7.36/7.73 resolution: (43652) {G1,W8,D2,L2,V3,M2} { coll( X, X, Y ), ! alpha1( Y, T
% 7.36/7.73 , X ) }.
% 7.36/7.73 parent0[1]: (769) {G10,W8,D2,L2,V3,M2} R(765,745) { coll( X, X, Y ), ! coll
% 7.36/7.73 ( Z, X, Y ) }.
% 7.36/7.73 parent1[1]: (97) {G0,W11,D3,L2,V4,M2} I { ! alpha1( X, Y, Z ), coll( skol11
% 7.36/7.73 ( X, T, Z ), Z, X ) }.
% 7.36/7.73 substitution0:
% 7.36/7.73 X := X
% 7.36/7.73 Y := Y
% 7.36/7.73 Z := skol11( Y, Z, X )
% 7.36/7.73 end
% 7.36/7.73 substitution1:
% 7.36/7.73 X := Y
% 7.36/7.73 Y := T
% 7.36/7.73 Z := X
% 7.36/7.73 T := Z
% 7.36/7.73 end
% 7.36/7.73
% 7.36/7.73 subsumption: (4472) {G11,W8,D2,L2,V3,M2} R(97,769) { ! alpha1( X, Y, Z ),
% 7.36/7.73 coll( Z, Z, X ) }.
% 7.36/7.73 parent0: (43652) {G1,W8,D2,L2,V3,M2} { coll( X, X, Y ), ! alpha1( Y, T, X
% 7.36/7.73 ) }.
% 7.36/7.73 substitution0:
% 7.36/7.73 X := Z
% 7.36/7.73 Y := X
% 7.36/7.73 Z := T
% 7.36/7.73 T := Y
% 7.36/7.73 end
% 7.36/7.73 permutation0:
% 7.36/7.73 0 ==> 1
% 7.36/7.73 1 ==> 0
% 7.36/7.73 end
% 7.36/7.73
% 7.36/7.73 resolution: (43653) {G1,W7,D3,L1,V0,M1} { perp( skol12( skol25, skol26 ),
% 7.36/7.73 skol25, skol25, skol26 ) }.
% 7.36/7.73 parent0[0]: (100) {G0,W12,D3,L2,V4,M2} I { ! circle( Y, X, Z, T ), perp(
% 7.36/7.73 skol12( X, Y ), X, X, Y ) }.
% 7.36/7.73 parent1[0]: (119) {G0,W5,D2,L1,V0,M1} I { circle( skol26, skol25, skol28,
% 7.36/7.73 skol29 ) }.
% 7.36/7.73 substitution0:
% 7.36/7.73 X := skol25
% 7.36/7.73 Y := skol26
% 7.36/7.73 Z := skol28
% 7.36/7.73 T := skol29
% 7.36/7.73 end
% 7.36/7.73 substitution1:
% 7.36/7.73 end
% 7.36/7.73
% 7.36/7.73 subsumption: (4956) {G1,W7,D3,L1,V0,M1} R(100,119) { perp( skol12( skol25,
% 7.36/7.73 skol26 ), skol25, skol25, skol26 ) }.
% 7.36/7.73 parent0: (43653) {G1,W7,D3,L1,V0,M1} { perp( skol12( skol25, skol26 ),
% 7.36/7.73 skol25, skol25, skol26 ) }.
% 7.36/7.73 substitution0:
% 7.36/7.73 end
% 7.36/7.73 permutation0:
% 7.36/7.73 0 ==> 0
% 7.36/7.73 end
% 7.36/7.73
% 7.36/7.73 resolution: (43654) {G1,W7,D3,L1,V0,M1} { perp( skol25, skol26, skol12(
% 7.36/7.73 skol25, skol26 ), skol25 ) }.
% 7.36/7.73 parent0[0]: (7) {G0,W10,D2,L2,V4,M2} I { ! perp( X, Y, Z, T ), perp( Z, T,
% 7.36/7.73 X, Y ) }.
% 7.36/7.73 parent1[0]: (4956) {G1,W7,D3,L1,V0,M1} R(100,119) { perp( skol12( skol25,
% 7.36/7.73 skol26 ), skol25, skol25, skol26 ) }.
% 7.36/7.73 substitution0:
% 7.36/7.73 X := skol12( skol25, skol26 )
% 7.36/7.73 Y := skol25
% 7.36/7.73 Z := skol25
% 7.36/7.73 T := skol26
% 7.36/7.73 end
% 7.36/7.73 substitution1:
% 7.36/7.73 end
% 7.36/7.73
% 7.36/7.73 subsumption: (9986) {G2,W7,D3,L1,V0,M1} R(4956,7) { perp( skol25, skol26,
% 7.36/7.73 skol12( skol25, skol26 ), skol25 ) }.
% 7.36/7.73 parent0: (43654) {G1,W7,D3,L1,V0,M1} { perp( skol25, skol26, skol12(
% 7.36/7.73 skol25, skol26 ), skol25 ) }.
% 7.36/7.73 substitution0:
% 7.36/7.73 end
% 7.36/7.73 permutation0:
% 7.36/7.73 0 ==> 0
% 7.36/7.73 end
% 7.36/7.73
% 7.36/7.73 resolution: (43655) {G1,W7,D3,L1,V0,M1} { perp( skol12( skol25, skol26 ),
% 7.36/7.73 skol25, skol26, skol25 ) }.
% 7.36/7.73 parent0[0]: (6) {G0,W10,D2,L2,V4,M2} I { ! perp( X, Y, Z, T ), perp( X, Y,
% 7.36/7.73 T, Z ) }.
% 7.36/7.73 parent1[0]: (4956) {G1,W7,D3,L1,V0,M1} R(100,119) { perp( skol12( skol25,
% 7.36/7.73 skol26 ), skol25, skol25, skol26 ) }.
% 7.36/7.73 substitution0:
% 7.36/7.73 X := skol12( skol25, skol26 )
% 7.36/7.73 Y := skol25
% 7.36/7.73 Z := skol25
% 7.36/7.73 T := skol26
% 7.36/7.73 end
% 7.36/7.73 substitution1:
% 7.36/7.73 end
% 7.36/7.73
% 7.36/7.73 subsumption: (9987) {G2,W7,D3,L1,V0,M1} R(4956,6) { perp( skol12( skol25,
% 7.36/7.73 skol26 ), skol25, skol26, skol25 ) }.
% 7.36/7.73 parent0: (43655) {G1,W7,D3,L1,V0,M1} { perp( skol12( skol25, skol26 ),
% 7.36/7.73 skol25, skol26, skol25 ) }.
% 7.36/7.73 substitution0:
% 7.36/7.73 end
% 7.36/7.73 permutation0:
% 7.36/7.73 0 ==> 0
% 7.36/7.73 end
% 7.36/7.73
% 7.36/7.73 resolution: (43656) {G1,W7,D3,L1,V0,M1} { perp( skol25, skol26, skol25,
% 7.36/7.73 skol12( skol25, skol26 ) ) }.
% 7.36/7.73 parent0[0]: (6) {G0,W10,D2,L2,V4,M2} I { ! perp( X, Y, Z, T ), perp( X, Y,
% 7.36/7.73 T, Z ) }.
% 7.36/7.73 parent1[0]: (9986) {G2,W7,D3,L1,V0,M1} R(4956,7) { perp( skol25, skol26,
% 7.36/7.73 skol12( skol25, skol26 ), skol25 ) }.
% 7.36/7.73 substitution0:
% 7.36/7.73 X := skol25
% 7.36/7.73 Y := skol26
% 7.36/7.73 Z := skol12( skol25, skol26 )
% 7.36/7.73 T := skol25
% 7.36/7.73 end
% 7.36/7.73 substitution1:
% 7.36/7.73 end
% 7.36/7.73
% 7.36/7.73 subsumption: (9997) {G3,W7,D3,L1,V0,M1} R(9986,6) { perp( skol25, skol26,
% 7.36/7.73 skol25, skol12( skol25, skol26 ) ) }.
% 7.36/7.73 parent0: (43656) {G1,W7,D3,L1,V0,M1} { perp( skol25, skol26, skol25,
% 7.36/7.73 skol12( skol25, skol26 ) ) }.
% 7.36/7.73 substitution0:
% 7.36/7.73 end
% 7.36/7.73 permutation0:
% 7.36/7.73 0 ==> 0
% 7.36/7.73 end
% 7.36/7.73
% 7.36/7.73 resolution: (43657) {G2,W7,D3,L1,V0,M1} { perp( skol26, skol25, skol12(
% 7.36/7.73 skol25, skol26 ), skol25 ) }.
% 7.36/7.73 parent0[1]: (259) {G1,W10,D2,L2,V4,M2} R(7,6) { perp( X, Y, Z, T ), ! perp
% 7.36/7.73 ( Z, T, Y, X ) }.
% 7.36/7.73 parent1[0]: (4956) {G1,W7,D3,L1,V0,M1} R(100,119) { perp( skol12( skol25,
% 7.36/7.73 skol26 ), skol25, skol25, skol26 ) }.
% 7.36/7.73 substitution0:
% 7.36/7.73 X := skol26
% 7.36/7.73 Y := skol25
% 7.36/7.73 Z := skol12( skol25, skol26 )
% 7.36/7.73 T := skol25
% 7.36/7.73 end
% 7.36/7.73 substitution1:
% 7.36/7.73 end
% 7.36/7.73
% 7.36/7.73 subsumption: (17081) {G2,W7,D3,L1,V0,M1} R(259,4956) { perp( skol26, skol25
% 7.36/7.73 , skol12( skol25, skol26 ), skol25 ) }.
% 7.36/7.73 parent0: (43657) {G2,W7,D3,L1,V0,M1} { perp( skol26, skol25, skol12(
% 7.36/7.73 skol25, skol26 ), skol25 ) }.
% 7.36/7.73 substitution0:
% 7.36/7.73 end
% 7.36/7.73 permutation0:
% 7.36/7.73 0 ==> 0
% 7.36/7.73 end
% 7.36/7.73
% 7.36/7.73 resolution: (43658) {G1,W13,D3,L2,V0,M2} { ! perp( skol12( skol25, skol26
% 7.36/7.73 ), skol25, skol26, skol25 ), alpha1( skol26, skol12( skol25, skol26 ),
% 7.36/7.73 skol25 ) }.
% 7.36/7.73 parent0[0]: (96) {G0,W14,D2,L3,V4,M3} I { ! perp( X, T, Y, Z ), ! perp( Y,
% 7.36/7.73 T, X, Z ), alpha1( X, Y, Z ) }.
% 7.36/7.73 parent1[0]: (17081) {G2,W7,D3,L1,V0,M1} R(259,4956) { perp( skol26, skol25
% 7.36/7.73 , skol12( skol25, skol26 ), skol25 ) }.
% 7.36/7.73 substitution0:
% 7.36/7.73 X := skol26
% 7.36/7.73 Y := skol12( skol25, skol26 )
% 7.36/7.73 Z := skol25
% 7.36/7.73 T := skol25
% 7.36/7.73 end
% 7.36/7.73 substitution1:
% 7.36/7.73 end
% 7.36/7.73
% 7.36/7.73 resolution: (43660) {G2,W6,D3,L1,V0,M1} { alpha1( skol26, skol12( skol25,
% 7.36/7.73 skol26 ), skol25 ) }.
% 7.36/7.73 parent0[0]: (43658) {G1,W13,D3,L2,V0,M2} { ! perp( skol12( skol25, skol26
% 7.36/7.73 ), skol25, skol26, skol25 ), alpha1( skol26, skol12( skol25, skol26 ),
% 7.36/7.73 skol25 ) }.
% 7.36/7.73 parent1[0]: (9987) {G2,W7,D3,L1,V0,M1} R(4956,6) { perp( skol12( skol25,
% 7.36/7.73 skol26 ), skol25, skol26, skol25 ) }.
% 7.36/7.73 substitution0:
% 7.36/7.73 end
% 7.36/7.73 substitution1:
% 7.36/7.73 end
% 7.36/7.73
% 7.36/7.73 subsumption: (18513) {G3,W6,D3,L1,V0,M1} R(17081,96);r(9987) { alpha1(
% 7.36/7.73 skol26, skol12( skol25, skol26 ), skol25 ) }.
% 7.36/7.73 parent0: (43660) {G2,W6,D3,L1,V0,M1} { alpha1( skol26, skol12( skol25,
% 7.36/7.73 skol26 ), skol25 ) }.
% 7.36/7.73 substitution0:
% 7.36/7.73 end
% 7.36/7.73 permutation0:
% 7.36/7.73 0 ==> 0
% 7.36/7.73 end
% 7.36/7.73
% 7.36/7.73 resolution: (43661) {G4,W4,D2,L1,V0,M1} { coll( skol25, skol25, skol26 )
% 7.36/7.73 }.
% 7.36/7.73 parent0[0]: (4472) {G11,W8,D2,L2,V3,M2} R(97,769) { ! alpha1( X, Y, Z ),
% 7.36/7.73 coll( Z, Z, X ) }.
% 7.36/7.73 parent1[0]: (18513) {G3,W6,D3,L1,V0,M1} R(17081,96);r(9987) { alpha1(
% 7.36/7.73 skol26, skol12( skol25, skol26 ), skol25 ) }.
% 7.36/7.73 substitution0:
% 7.36/7.73 X := skol26
% 7.36/7.73 Y := skol12( skol25, skol26 )
% 7.36/7.73 Z := skol25
% 7.36/7.73 end
% 7.36/7.73 substitution1:
% 7.36/7.73 end
% 7.36/7.73
% 7.36/7.73 subsumption: (18546) {G12,W4,D2,L1,V0,M1} R(18513,4472) { coll( skol25,
% 7.36/7.73 skol25, skol26 ) }.
% 7.36/7.73 parent0: (43661) {G4,W4,D2,L1,V0,M1} { coll( skol25, skol25, skol26 ) }.
% 7.36/7.73 substitution0:
% 7.36/7.73 end
% 7.36/7.73 permutation0:
% 7.36/7.73 0 ==> 0
% 7.36/7.73 end
% 7.36/7.73
% 7.36/7.73 resolution: (43662) {G1,W14,D2,L2,V1,M2} { ! eqangle( skol25, X, skol25,
% 7.36/7.73 skol26, skol25, X, skol25, skol26 ), cyclic( X, skol26, skol25, skol25 )
% 7.36/7.73 }.
% 7.36/7.73 parent0[1]: (42) {G0,W18,D2,L3,V4,M3} I { ! eqangle( Z, X, Z, Y, T, X, T, Y
% 7.36/7.73 ), ! coll( Z, T, Y ), cyclic( X, Y, Z, T ) }.
% 7.36/7.73 parent1[0]: (18546) {G12,W4,D2,L1,V0,M1} R(18513,4472) { coll( skol25,
% 7.36/7.73 skol25, skol26 ) }.
% 7.36/7.73 substitution0:
% 7.36/7.73 X := X
% 7.36/7.73 Y := skol26
% 7.36/7.73 Z := skol25
% 7.36/7.73 T := skol25
% 7.36/7.73 end
% 7.36/7.73 substitution1:
% 7.36/7.73 end
% 7.36/7.73
% 7.36/7.73 subsumption: (18885) {G13,W14,D2,L2,V1,M2} R(18546,42) { ! eqangle( skol25
% 7.36/7.73 , X, skol25, skol26, skol25, X, skol25, skol26 ), cyclic( X, skol26,
% 7.36/7.73 skol25, skol25 ) }.
% 7.36/7.73 parent0: (43662) {G1,W14,D2,L2,V1,M2} { ! eqangle( skol25, X, skol25,
% 7.36/7.73 skol26, skol25, X, skol25, skol26 ), cyclic( X, skol26, skol25, skol25 )
% 7.36/7.73 }.
% 7.36/7.73 substitution0:
% 7.36/7.73 X := X
% 7.36/7.73 end
% 7.36/7.73 permutation0:
% 7.36/7.73 0 ==> 0
% 7.36/7.73 1 ==> 1
% 7.36/7.73 end
% 7.36/7.73
% 7.36/7.73 resolution: (43663) {G3,W5,D2,L1,V0,M1} { para( skol25, skol26, skol25,
% 7.36/7.73 skol26 ) }.
% 7.36/7.73 parent0[0]: (297) {G2,W10,D2,L2,V4,M2} F(277) { ! perp( X, Y, Z, T ), para
% 7.36/7.73 ( X, Y, X, Y ) }.
% 7.36/7.73 parent1[0]: (9997) {G3,W7,D3,L1,V0,M1} R(9986,6) { perp( skol25, skol26,
% 7.36/7.73 skol25, skol12( skol25, skol26 ) ) }.
% 7.36/7.73 substitution0:
% 7.36/7.73 X := skol25
% 7.36/7.73 Y := skol26
% 7.36/7.73 Z := skol25
% 7.36/7.73 T := skol12( skol25, skol26 )
% 7.36/7.73 end
% 7.36/7.73 substitution1:
% 7.36/7.73 end
% 7.36/7.73
% 7.36/7.73 subsumption: (19080) {G4,W5,D2,L1,V0,M1} R(297,9997) { para( skol25, skol26
% 7.36/7.73 , skol25, skol26 ) }.
% 7.36/7.73 parent0: (43663) {G3,W5,D2,L1,V0,M1} { para( skol25, skol26, skol25,
% 7.36/7.73 skol26 ) }.
% 7.36/7.73 substitution0:
% 7.36/7.73 end
% 7.36/7.73 permutation0:
% 7.36/7.73 0 ==> 0
% 7.36/7.73 end
% 7.36/7.73
% 7.36/7.73 resolution: (43664) {G2,W9,D2,L1,V2,M1} { eqangle( X, Y, skol25, skol26, X
% 7.36/7.73 , Y, skol25, skol26 ) }.
% 7.36/7.73 parent0[0]: (755) {G1,W14,D2,L2,V6,M2} R(39,18) { ! para( X, Y, Z, T ),
% 7.36/7.73 eqangle( U, W, X, Y, U, W, Z, T ) }.
% 7.36/7.73 parent1[0]: (19080) {G4,W5,D2,L1,V0,M1} R(297,9997) { para( skol25, skol26
% 7.36/7.73 , skol25, skol26 ) }.
% 7.36/7.73 substitution0:
% 7.36/7.73 X := skol25
% 7.36/7.73 Y := skol26
% 7.36/7.73 Z := skol25
% 7.36/7.73 T := skol26
% 7.36/7.73 U := X
% 7.36/7.73 W := Y
% 7.36/7.73 end
% 7.36/7.73 substitution1:
% 7.36/7.73 end
% 7.36/7.73
% 7.36/7.73 subsumption: (36751) {G5,W9,D2,L1,V2,M1} R(755,19080) { eqangle( X, Y,
% 7.36/7.73 skol25, skol26, X, Y, skol25, skol26 ) }.
% 7.36/7.73 parent0: (43664) {G2,W9,D2,L1,V2,M1} { eqangle( X, Y, skol25, skol26, X, Y
% 7.36/7.73 , skol25, skol26 ) }.
% 7.36/7.73 substitution0:
% 7.36/7.73 X := X
% 7.36/7.73 Y := Y
% 7.36/7.73 end
% 7.36/7.73 permutation0:
% 7.36/7.73 0 ==> 0
% 7.36/7.73 end
% 7.36/7.73
% 7.36/7.73 resolution: (43665) {G6,W5,D2,L1,V1,M1} { cyclic( X, skol26, skol25,
% 7.36/7.73 skol25 ) }.
% 7.36/7.73 parent0[0]: (18885) {G13,W14,D2,L2,V1,M2} R(18546,42) { ! eqangle( skol25,
% 7.36/7.73 X, skol25, skol26, skol25, X, skol25, skol26 ), cyclic( X, skol26, skol25
% 7.36/7.73 , skol25 ) }.
% 7.36/7.73 parent1[0]: (36751) {G5,W9,D2,L1,V2,M1} R(755,19080) { eqangle( X, Y,
% 7.36/7.73 skol25, skol26, X, Y, skol25, skol26 ) }.
% 7.36/7.73 substitution0:
% 7.36/7.73 X := X
% 7.36/7.73 end
% 7.36/7.73 substitution1:
% 7.36/7.73 X := skol25
% 7.36/7.73 Y := X
% 7.36/7.73 end
% 7.36/7.73
% 7.36/7.73 subsumption: (42833) {G14,W5,D2,L1,V1,M1} S(18885);r(36751) { cyclic( X,
% 7.36/7.73 skol26, skol25, skol25 ) }.
% 7.36/7.73 parent0: (43665) {G6,W5,D2,L1,V1,M1} { cyclic( X, skol26, skol25, skol25 )
% 7.36/7.73 }.
% 7.36/7.73 substitution0:
% 7.36/7.73 X := X
% 7.36/7.73 end
% 7.36/7.73 permutation0:
% 7.36/7.73 0 ==> 0
% 7.36/7.73 end
% 7.36/7.73
% 7.36/7.73 resolution: (43666) {G2,W5,D2,L1,V1,M1} { cyclic( skol26, X, skol25,
% 7.36/7.73 skol25 ) }.
% 7.36/7.73 parent0[1]: (429) {G1,W10,D2,L2,V4,M2} R(15,13) { cyclic( X, Y, Z, T ), !
% 7.36/7.73 cyclic( Y, X, T, Z ) }.
% 7.36/7.73 parent1[0]: (42833) {G14,W5,D2,L1,V1,M1} S(18885);r(36751) { cyclic( X,
% 7.36/7.73 skol26, skol25, skol25 ) }.
% 7.36/7.73 substitution0:
% 7.36/7.73 X := skol26
% 7.36/7.73 Y := X
% 7.36/7.73 Z := skol25
% 7.36/7.73 T := skol25
% 7.36/7.73 end
% 7.36/7.73 substitution1:
% 7.36/7.73 X := X
% 7.36/7.73 end
% 7.36/7.73
% 7.36/7.73 subsumption: (42868) {G15,W5,D2,L1,V1,M1} R(42833,429) { cyclic( skol26, X
% 7.36/7.73 , skol25, skol25 ) }.
% 7.36/7.73 parent0: (43666) {G2,W5,D2,L1,V1,M1} { cyclic( skol26, X, skol25, skol25 )
% 7.36/7.73 }.
% 7.36/7.73 substitution0:
% 7.36/7.73 X := X
% 7.36/7.73 end
% 7.36/7.73 permutation0:
% 7.36/7.73 0 ==> 0
% 7.36/7.73 end
% 7.36/7.73
% 7.36/7.73 resolution: (43667) {G3,W5,D2,L1,V1,M1} { cyclic( skol25, X, skol25,
% 7.36/7.73 skol25 ) }.
% 7.36/7.73 parent0[0]: (457) {G2,W10,D2,L2,V4,M2} F(447) { ! cyclic( X, Y, Z, T ),
% 7.36/7.73 cyclic( Z, Y, T, T ) }.
% 7.36/7.73 parent1[0]: (42868) {G15,W5,D2,L1,V1,M1} R(42833,429) { cyclic( skol26, X,
% 7.36/7.73 skol25, skol25 ) }.
% 7.36/7.73 substitution0:
% 7.36/7.73 X := skol26
% 7.36/7.73 Y := X
% 7.36/7.73 Z := skol25
% 7.36/7.73 T := skol25
% 7.36/7.73 end
% 7.36/7.73 substitution1:
% 7.36/7.73 X := X
% 7.36/7.73 end
% 7.36/7.73
% 7.36/7.73 subsumption: (42877) {G16,W5,D2,L1,V1,M1} R(42868,457) { cyclic( skol25, X
% 7.36/7.73 , skol25, skol25 ) }.
% 7.36/7.73 parent0: (43667) {G3,W5,D2,L1,V1,M1} { cyclic( skol25, X, skol25, skol25 )
% 7.36/7.73 }.
% 7.36/7.73 substitution0:
% 7.36/7.73 X := X
% 7.36/7.73 end
% 7.36/7.73 permutation0:
% 7.36/7.73 0 ==> 0
% 7.36/7.73 end
% 7.36/7.73
% 7.36/7.73 resolution: (43668) {G2,W5,D2,L1,V1,M1} { cyclic( skol25, skol25, X,
% 7.36/7.73 skol25 ) }.
% 7.36/7.73 parent0[1]: (427) {G1,W10,D2,L2,V4,M2} R(15,14) { cyclic( X, Y, Z, T ), !
% 7.36/7.73 cyclic( Y, Z, X, T ) }.
% 7.36/7.73 parent1[0]: (42877) {G16,W5,D2,L1,V1,M1} R(42868,457) { cyclic( skol25, X,
% 7.36/7.73 skol25, skol25 ) }.
% 7.36/7.73 substitution0:
% 7.36/7.73 X := skol25
% 7.36/7.73 Y := skol25
% 7.36/7.73 Z := X
% 7.36/7.73 T := skol25
% 7.36/7.73 end
% 7.36/7.73 substitution1:
% 7.36/7.73 X := X
% 7.36/7.73 end
% 7.36/7.73
% 7.36/7.73 subsumption: (42895) {G17,W5,D2,L1,V1,M1} R(42877,427) { cyclic( skol25,
% 7.36/7.73 skol25, X, skol25 ) }.
% 7.36/7.73 parent0: (43668) {G2,W5,D2,L1,V1,M1} { cyclic( skol25, skol25, X, skol25 )
% 7.36/7.73 }.
% 7.36/7.73 substitution0:
% 7.36/7.73 X := X
% 7.36/7.73 end
% 7.36/7.73 permutation0:
% 7.36/7.73 0 ==> 0
% 7.36/7.73 end
% 7.36/7.73
% 7.36/7.73 resolution: (43669) {G2,W5,D2,L1,V1,M1} { cyclic( skol25, skol25, skol25,
% 7.36/7.73 X ) }.
% 7.36/7.73 parent0[0]: (418) {G1,W10,D2,L2,V4,M2} R(14,13) { ! cyclic( X, Y, Z, T ),
% 7.36/7.73 cyclic( X, Z, T, Y ) }.
% 7.36/7.73 parent1[0]: (42877) {G16,W5,D2,L1,V1,M1} R(42868,457) { cyclic( skol25, X,
% 7.36/7.73 skol25, skol25 ) }.
% 7.36/7.73 substitution0:
% 7.36/7.73 X := skol25
% 7.36/7.73 Y := X
% 7.36/7.73 Z := skol25
% 7.36/7.73 T := skol25
% 7.36/7.73 end
% 7.36/7.73 substitution1:
% 7.36/7.73 X := X
% 7.36/7.73 end
% 7.36/7.73
% 7.36/7.73 subsumption: (42896) {G17,W5,D2,L1,V1,M1} R(42877,418) { cyclic( skol25,
% 7.36/7.73 skol25, skol25, X ) }.
% 7.36/7.73 parent0: (43669) {G2,W5,D2,L1,V1,M1} { cyclic( skol25, skol25, skol25, X )
% 7.36/7.73 }.
% 7.36/7.73 substitution0:
% 7.36/7.73 X := X
% 7.36/7.73 end
% 7.36/7.73 permutation0:
% 7.36/7.73 0 ==> 0
% 7.36/7.73 end
% 7.36/7.73
% 7.36/7.73 resolution: (43671) {G2,W10,D2,L2,V2,M2} { ! cyclic( skol25, skol25,
% 7.36/7.73 skol25, X ), cyclic( skol25, skol25, X, Y ) }.
% 7.36/7.73 parent0[2]: (452) {G1,W15,D2,L3,V5,M3} R(16,13) { ! cyclic( X, Y, Z, T ),
% 7.36/7.73 cyclic( Y, Z, T, U ), ! cyclic( X, Y, U, Z ) }.
% 7.36/7.73 parent1[0]: (42895) {G17,W5,D2,L1,V1,M1} R(42877,427) { cyclic( skol25,
% 7.36/7.73 skol25, X, skol25 ) }.
% 7.36/7.73 substitution0:
% 7.36/7.73 X := skol25
% 7.36/7.73 Y := skol25
% 7.36/7.73 Z := skol25
% 7.36/7.73 T := X
% 7.36/7.73 U := Y
% 7.36/7.73 end
% 7.36/7.73 substitution1:
% 7.36/7.73 X := Y
% 7.36/7.73 end
% 7.36/7.73
% 7.36/7.73 resolution: (43672) {G3,W5,D2,L1,V2,M1} { cyclic( skol25, skol25, X, Y )
% 7.36/7.73 }.
% 7.36/7.73 parent0[0]: (43671) {G2,W10,D2,L2,V2,M2} { ! cyclic( skol25, skol25,
% 7.36/7.73 skol25, X ), cyclic( skol25, skol25, X, Y ) }.
% 7.36/7.73 parent1[0]: (42896) {G17,W5,D2,L1,V1,M1} R(42877,418) { cyclic( skol25,
% 7.36/7.73 skol25, skol25, X ) }.
% 7.36/7.73 substitution0:
% 7.36/7.73 X := X
% 7.36/7.73 Y := Y
% 7.36/7.73 end
% 7.36/7.73 substitution1:
% 7.36/7.73 X := X
% 7.36/7.73 end
% 7.36/7.73
% 7.36/7.73 subsumption: (42899) {G18,W5,D2,L1,V2,M1} R(42895,452);r(42896) { cyclic(
% 7.36/7.73 skol25, skol25, X, Y ) }.
% 7.36/7.73 parent0: (43672) {G3,W5,D2,L1,V2,M1} { cyclic( skol25, skol25, X, Y ) }.
% 7.36/7.73 substitution0:
% 7.36/7.73 X := X
% 7.36/7.73 Y := Y
% 7.36/7.73 end
% 7.36/7.73 permutation0:
% 7.36/7.73 0 ==> 0
% 7.36/7.73 end
% 7.36/7.73
% 7.36/7.73 resolution: (43673) {G2,W10,D2,L2,V3,M2} { cyclic( skol25, X, Y, Z ), !
% 7.36/7.73 cyclic( skol25, skol25, Z, X ) }.
% 7.36/7.73 parent0[0]: (452) {G1,W15,D2,L3,V5,M3} R(16,13) { ! cyclic( X, Y, Z, T ),
% 7.36/7.73 cyclic( Y, Z, T, U ), ! cyclic( X, Y, U, Z ) }.
% 7.36/7.73 parent1[0]: (42899) {G18,W5,D2,L1,V2,M1} R(42895,452);r(42896) { cyclic(
% 7.36/7.73 skol25, skol25, X, Y ) }.
% 7.36/7.73 substitution0:
% 7.36/7.73 X := skol25
% 7.36/7.73 Y := skol25
% 7.36/7.73 Z := X
% 7.36/7.73 T := Y
% 7.36/7.73 U := Z
% 7.36/7.73 end
% 7.36/7.73 substitution1:
% 7.36/7.73 X := X
% 7.36/7.73 Y := Y
% 7.36/7.73 end
% 7.36/7.73
% 7.36/7.73 resolution: (43675) {G3,W5,D2,L1,V3,M1} { cyclic( skol25, X, Y, Z ) }.
% 7.36/7.73 parent0[1]: (43673) {G2,W10,D2,L2,V3,M2} { cyclic( skol25, X, Y, Z ), !
% 7.36/7.73 cyclic( skol25, skol25, Z, X ) }.
% 7.36/7.73 parent1[0]: (42899) {G18,W5,D2,L1,V2,M1} R(42895,452);r(42896) { cyclic(
% 7.36/7.73 skol25, skol25, X, Y ) }.
% 7.36/7.73 substitution0:
% 7.36/7.73 X := X
% 7.36/7.73 Y := Y
% 7.36/7.73 Z := Z
% 7.36/7.73 end
% 7.36/7.73 substitution1:
% 7.36/7.73 X := Z
% 7.36/7.73 Y := X
% 7.36/7.73 end
% 7.36/7.73
% 7.36/7.73 subsumption: (43163) {G19,W5,D2,L1,V3,M1} R(42899,452);r(42899) { cyclic(
% 7.36/7.73 skol25, X, Y, Z ) }.
% 7.36/7.73 parent0: (43675) {G3,W5,D2,L1,V3,M1} { cyclic( skol25, X, Y, Z ) }.
% 7.36/7.73 substitution0:
% 7.36/7.73 X := X
% 7.36/7.73 Y := Y
% 7.36/7.73 Z := Z
% 7.36/7.73 end
% 7.36/7.73 permutation0:
% 7.36/7.73 0 ==> 0
% 7.36/7.73 end
% 7.36/7.73
% 7.36/7.73 resolution: (43676) {G14,W5,D2,L1,V0,M1} { ! cyclic( skol25, skol23,
% 7.36/7.73 skol22, skol20 ) }.
% 7.36/7.73 parent0[0]: (705) {G13,W10,D2,L2,V1,M2} R(703,16) { ! cyclic( X, skol23,
% 7.36/7.73 skol22, skol24 ), ! cyclic( X, skol23, skol22, skol20 ) }.
% 7.36/7.73 parent1[0]: (43163) {G19,W5,D2,L1,V3,M1} R(42899,452);r(42899) { cyclic(
% 7.36/7.73 skol25, X, Y, Z ) }.
% 7.36/7.73 substitution0:
% 7.36/7.73 X := skol25
% 7.36/7.73 end
% 7.36/7.73 substitution1:
% 7.36/7.73 X := skol23
% 7.36/7.73 Y := skol22
% 7.36/7.73 Z := skol24
% 7.36/7.73 end
% 7.36/7.73
% 7.36/7.73 resolution: (43678) {G15,W0,D0,L0,V0,M0} { }.
% 7.36/7.73 parent0[0]: (43676) {G14,W5,D2,L1,V0,M1} { ! cyclic( skol25, skol23,
% 7.36/7.73 skol22, skol20 ) }.
% 7.36/7.73 parent1[0]: (43163) {G19,W5,D2,L1,V3,M1} R(42899,452);r(42899) { cyclic(
% 7.36/7.73 skol25, X, Y, Z ) }.
% 7.36/7.73 substitution0:
% 7.36/7.73 end
% 7.36/7.73 substitution1:
% 7.36/7.73 X := skol23
% 7.36/7.73 Y := skol22
% 7.36/7.73 Z := skol20
% 7.36/7.73 end
% 7.36/7.73
% 7.36/7.73 subsumption: (43175) {G20,W0,D0,L0,V0,M0} R(43163,705);r(43163) { }.
% 7.36/7.73 parent0: (43678) {G15,W0,D0,L0,V0,M0} { }.
% 7.36/7.73 substitution0:
% 7.36/7.73 end
% 7.36/7.73 permutation0:
% 7.36/7.73 end
% 7.36/7.73
% 7.36/7.73 Proof check complete!
% 7.36/7.73
% 7.36/7.73 Memory use:
% 7.36/7.73
% 7.36/7.73 space for terms: 600521
% 7.36/7.73 space for clauses: 1985543
% 7.36/7.73
% 7.36/7.73
% 7.36/7.73 clauses generated: 280569
% 7.36/7.73 clauses kept: 43176
% 7.36/7.73 clauses selected: 2612
% 7.36/7.73 clauses deleted: 3414
% 7.36/7.73 clauses inuse deleted: 96
% 7.36/7.73
% 7.36/7.73 subsentry: 9678397
% 7.36/7.73 literals s-matched: 4901240
% 7.36/7.73 literals matched: 2458276
% 7.36/7.73 full subsumption: 1074695
% 7.36/7.73
% 7.36/7.73 checksum: -1598865971
% 7.36/7.73
% 7.36/7.73
% 7.36/7.73 Bliksem ended
%------------------------------------------------------------------------------