TSTP Solution File: GEO629+1 by Bliksem---1.12
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- Process Solution
%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : GEO629+1 : TPTP v8.1.0. Released v7.5.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n003.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 02:55:13 EDT 2022
% Result : Theorem 20.69s 21.07s
% Output : Refutation 20.69s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : GEO629+1 : TPTP v8.1.0. Released v7.5.0.
% 0.03/0.13 % Command : bliksem %s
% 0.13/0.34 % Computer : n003.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % DateTime : Sat Jun 18 15:45:58 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.80/1.23 *** allocated 10000 integers for termspace/termends
% 0.80/1.23 *** allocated 10000 integers for clauses
% 0.80/1.23 *** allocated 10000 integers for justifications
% 0.80/1.23 Bliksem 1.12
% 0.80/1.23
% 0.80/1.23
% 0.80/1.23 Automatic Strategy Selection
% 0.80/1.23
% 0.80/1.23 *** allocated 15000 integers for termspace/termends
% 0.80/1.23
% 0.80/1.23 Clauses:
% 0.80/1.23
% 0.80/1.23 { ! coll( X, Y, Z ), coll( X, Z, Y ) }.
% 0.80/1.23 { ! coll( X, Y, Z ), coll( Y, X, Z ) }.
% 0.80/1.23 { ! coll( X, T, Y ), ! coll( X, T, Z ), coll( Y, Z, X ) }.
% 0.80/1.23 { ! para( X, Y, Z, T ), para( X, Y, T, Z ) }.
% 0.80/1.23 { ! para( X, Y, Z, T ), para( Z, T, X, Y ) }.
% 0.80/1.23 { ! para( X, Y, U, W ), ! para( U, W, Z, T ), para( X, Y, Z, T ) }.
% 0.80/1.23 { ! perp( X, Y, Z, T ), perp( X, Y, T, Z ) }.
% 0.80/1.23 { ! perp( X, Y, Z, T ), perp( Z, T, X, Y ) }.
% 0.80/1.23 { ! perp( X, Y, U, W ), ! perp( U, W, Z, T ), para( X, Y, Z, T ) }.
% 0.80/1.23 { ! para( X, Y, U, W ), ! perp( U, W, Z, T ), perp( X, Y, Z, T ) }.
% 0.80/1.23 { ! midp( Z, Y, X ), midp( Z, X, Y ) }.
% 0.80/1.23 { ! cong( T, X, T, Y ), ! cong( T, X, T, Z ), circle( T, X, Y, Z ) }.
% 0.80/1.23 { ! cong( U, X, U, Y ), ! cong( U, X, U, Z ), ! cong( U, X, U, T ), cyclic
% 0.80/1.23 ( X, Y, Z, T ) }.
% 0.80/1.23 { ! cyclic( X, Y, Z, T ), cyclic( X, Y, T, Z ) }.
% 0.80/1.23 { ! cyclic( X, Y, Z, T ), cyclic( X, Z, Y, T ) }.
% 0.80/1.23 { ! cyclic( X, Y, Z, T ), cyclic( Y, X, Z, T ) }.
% 0.80/1.23 { ! cyclic( U, X, Y, Z ), ! cyclic( U, X, Y, T ), cyclic( X, Y, Z, T ) }.
% 0.80/1.23 { ! eqangle( X, Y, Z, T, U, W, V0, V1 ), eqangle( Y, X, Z, T, U, W, V0, V1
% 0.80/1.23 ) }.
% 0.80/1.23 { ! eqangle( X, Y, Z, T, U, W, V0, V1 ), eqangle( Z, T, X, Y, V0, V1, U, W
% 0.80/1.23 ) }.
% 0.80/1.23 { ! eqangle( X, Y, Z, T, U, W, V0, V1 ), eqangle( U, W, V0, V1, X, Y, Z, T
% 0.80/1.23 ) }.
% 0.80/1.23 { ! eqangle( X, Y, Z, T, U, W, V0, V1 ), eqangle( X, Y, U, W, Z, T, V0, V1
% 0.80/1.23 ) }.
% 0.80/1.23 { ! eqangle( X, Y, Z, T, V2, V3, V4, V5 ), ! eqangle( V2, V3, V4, V5, U, W
% 0.80/1.23 , V0, V1 ), eqangle( X, Y, Z, T, U, W, V0, V1 ) }.
% 0.80/1.23 { ! cong( X, Y, Z, T ), cong( X, Y, T, Z ) }.
% 0.80/1.23 { ! cong( X, Y, Z, T ), cong( Z, T, X, Y ) }.
% 0.80/1.23 { ! cong( X, Y, U, W ), ! cong( U, W, Z, T ), cong( X, Y, Z, T ) }.
% 0.80/1.23 { ! eqratio( X, Y, Z, T, U, W, V0, V1 ), eqratio( Y, X, Z, T, U, W, V0, V1
% 0.80/1.23 ) }.
% 0.80/1.23 { ! eqratio( X, Y, Z, T, U, W, V0, V1 ), eqratio( Z, T, X, Y, V0, V1, U, W
% 0.80/1.23 ) }.
% 0.80/1.23 { ! eqratio( X, Y, Z, T, U, W, V0, V1 ), eqratio( U, W, V0, V1, X, Y, Z, T
% 0.80/1.23 ) }.
% 0.80/1.23 { ! eqratio( X, Y, Z, T, U, W, V0, V1 ), eqratio( X, Y, U, W, Z, T, V0, V1
% 0.80/1.23 ) }.
% 0.80/1.23 { ! eqratio( X, Y, Z, T, V2, V3, V4, V5 ), ! eqratio( V2, V3, V4, V5, U, W
% 0.80/1.23 , V0, V1 ), eqratio( X, Y, Z, T, U, W, V0, V1 ) }.
% 0.80/1.23 { ! simtri( X, Z, Y, T, W, U ), simtri( X, Y, Z, T, U, W ) }.
% 0.80/1.23 { ! simtri( Y, X, Z, U, T, W ), simtri( X, Y, Z, T, U, W ) }.
% 0.80/1.23 { ! simtri( T, U, W, X, Y, Z ), simtri( X, Y, Z, T, U, W ) }.
% 0.80/1.23 { ! simtri( X, Y, Z, V0, V1, V2 ), ! simtri( V0, V1, V2, T, U, W ), simtri
% 0.80/1.23 ( X, Y, Z, T, U, W ) }.
% 0.80/1.23 { ! contri( X, Z, Y, T, W, U ), contri( X, Y, Z, T, U, W ) }.
% 0.80/1.23 { ! contri( Y, X, Z, U, T, W ), contri( X, Y, Z, T, U, W ) }.
% 0.80/1.23 { ! contri( T, U, W, X, Y, Z ), contri( X, Y, Z, T, U, W ) }.
% 0.80/1.23 { ! contri( X, Y, Z, V0, V1, V2 ), ! contri( V0, V1, V2, T, U, W ), contri
% 0.80/1.23 ( X, Y, Z, T, U, W ) }.
% 0.80/1.23 { ! eqangle( X, Y, U, W, Z, T, U, W ), para( X, Y, Z, T ) }.
% 0.80/1.23 { ! para( X, Y, Z, T ), eqangle( X, Y, U, W, Z, T, U, W ) }.
% 0.80/1.23 { ! cyclic( X, Y, Z, T ), eqangle( Z, X, Z, Y, T, X, T, Y ) }.
% 0.80/1.23 { ! eqangle( Z, X, Z, Y, T, X, T, Y ), coll( Z, T, X ), cyclic( X, Y, Z, T
% 0.80/1.23 ) }.
% 0.80/1.23 { ! eqangle( Z, X, Z, Y, T, X, T, Y ), ! coll( Z, T, Y ), cyclic( X, Y, Z,
% 0.80/1.23 T ) }.
% 0.80/1.23 { ! cyclic( X, Y, U, Z ), ! cyclic( X, Y, U, T ), ! cyclic( X, Y, U, W ), !
% 0.80/1.23 eqangle( U, X, U, Y, W, Z, W, T ), cong( X, Y, Z, T ) }.
% 0.80/1.23 { ! midp( Z, U, X ), ! midp( T, U, Y ), para( Z, T, X, Y ) }.
% 0.80/1.23 { ! midp( U, X, T ), ! para( U, Z, T, Y ), ! coll( Z, X, Y ), midp( Z, X, Y
% 0.80/1.23 ) }.
% 0.80/1.23 { ! cong( Z, X, Z, Y ), eqangle( Z, X, X, Y, X, Y, Z, Y ) }.
% 0.80/1.23 { ! eqangle( Z, X, X, Y, X, Y, Z, Y ), coll( Z, X, Y ), cong( Z, X, Z, Y )
% 0.80/1.23 }.
% 0.80/1.23 { ! circle( U, X, Y, Z ), ! perp( U, X, X, T ), eqangle( X, T, X, Y, Z, X,
% 0.80/1.23 Z, Y ) }.
% 0.80/1.23 { ! circle( Y, X, T, U ), ! eqangle( X, Z, X, T, U, X, U, T ), perp( Y, X,
% 0.80/1.23 X, Z ) }.
% 0.80/1.23 { ! circle( T, X, Y, Z ), ! midp( U, Y, Z ), eqangle( X, Y, X, Z, T, Y, T,
% 0.80/1.23 U ) }.
% 0.80/1.23 { ! circle( U, T, X, Y ), ! coll( Z, X, Y ), ! eqangle( T, X, T, Y, U, X, U
% 0.80/1.23 , Z ), midp( Z, X, Y ) }.
% 0.80/1.23 { ! perp( X, Y, Y, T ), ! midp( Z, X, T ), cong( X, Z, Y, Z ) }.
% 0.80/1.23 { ! circle( T, X, Y, Z ), ! coll( T, X, Z ), perp( X, Y, Y, Z ) }.
% 0.80/1.23 { ! cyclic( X, Y, Z, T ), ! para( X, Y, Z, T ), eqangle( X, T, Z, T, Z, T,
% 0.80/1.23 Z, Y ) }.
% 0.80/1.23 { ! midp( T, X, Y ), ! perp( Z, T, X, Y ), cong( Z, X, Z, Y ) }.
% 0.80/1.23 { ! cong( X, Z, Y, Z ), ! cong( X, T, Y, T ), perp( X, Y, Z, T ) }.
% 0.80/1.23 { ! cong( X, Y, T, Y ), ! cong( X, Z, T, Z ), ! cyclic( X, T, Y, Z ), perp
% 0.80/1.23 ( Y, X, X, Z ) }.
% 0.80/1.23 { ! eqangle( X, Y, Y, Z, T, U, U, W ), ! eqangle( X, Z, Y, Z, T, W, U, W )
% 0.80/1.23 , coll( X, Y, Z ), simtri( X, Y, Z, T, U, W ) }.
% 0.80/1.23 { ! simtri( X, Y, Z, T, U, W ), eqratio( X, Y, X, Z, T, U, T, W ) }.
% 0.80/1.23 { ! simtri( X, Y, Z, T, U, W ), eqangle( X, Y, Y, Z, T, U, U, W ) }.
% 0.80/1.23 { ! simtri( X, Y, Z, T, U, W ), ! cong( X, Y, T, U ), contri( X, Y, Z, T, U
% 0.80/1.23 , W ) }.
% 0.80/1.23 { ! contri( X, Y, U, Z, T, W ), cong( X, Y, Z, T ) }.
% 0.80/1.23 { ! midp( U, X, Y ), ! midp( U, Z, T ), para( X, Z, Y, T ) }.
% 0.80/1.23 { ! midp( Z, T, U ), ! para( T, X, U, Y ), ! para( T, Y, U, X ), midp( Z, X
% 0.80/1.23 , Y ) }.
% 0.80/1.23 { ! para( X, Y, Z, T ), ! coll( U, X, Z ), ! coll( U, Y, T ), eqratio( U, X
% 0.80/1.23 , X, Z, U, Y, Y, T ) }.
% 0.80/1.23 { ! para( X, Y, X, Z ), coll( X, Y, Z ) }.
% 0.80/1.23 { ! cong( X, Y, X, Z ), ! coll( X, Y, Z ), midp( X, Y, Z ) }.
% 0.80/1.23 { ! midp( X, Y, Z ), cong( X, Y, X, Z ) }.
% 0.80/1.23 { ! midp( X, Y, Z ), coll( X, Y, Z ) }.
% 0.80/1.23 { ! midp( U, X, Y ), ! midp( W, Z, T ), eqratio( U, X, X, Y, W, Z, Z, T ) }
% 0.80/1.23 .
% 0.80/1.23 { ! eqangle( X, Y, Z, T, Z, T, X, Y ), para( X, Y, Z, T ), perp( X, Y, Z, T
% 0.80/1.23 ) }.
% 0.80/1.23 { ! eqangle( X, Y, Z, T, Z, T, X, Y ), perp( X, Y, Z, T ), para( X, Y, Z, T
% 0.80/1.23 ) }.
% 0.80/1.23 { ! eqangle( X, Y, Z, T, U, W, V0, V1 ), ! para( U, W, V0, V1 ), para( X, Y
% 0.80/1.23 , Z, T ) }.
% 0.80/1.23 { ! eqangle( X, Y, Z, T, U, W, V0, V1 ), ! perp( U, W, V0, V1 ), perp( X, Y
% 0.80/1.23 , Z, T ) }.
% 0.80/1.23 { ! eqratio( X, Y, Z, T, U, W, V0, V1 ), ! cong( U, W, V0, V1 ), cong( X, Y
% 0.80/1.23 , Z, T ) }.
% 0.80/1.23 { ! perp( Z, Y, Y, X ), ! eqangle( T, Z, Y, Z, Y, Z, X, Z ), coll( skol1( U
% 0.80/1.23 , W, Z, T ), Z, T ) }.
% 0.80/1.23 { ! perp( Z, Y, Y, X ), ! eqangle( T, Z, Y, Z, Y, Z, X, Z ), coll( skol1( X
% 0.80/1.23 , Y, Z, T ), X, Y ) }.
% 0.80/1.23 { ! cong( Z, X, Z, Y ), ! eqangle( X, Z, Z, T, Z, T, Z, Y ), coll( skol2( U
% 0.80/1.23 , W, Z, T ), Z, T ) }.
% 0.80/1.23 { ! cong( Z, X, Z, Y ), ! eqangle( X, Z, Z, T, Z, T, Z, Y ), coll( Y, X,
% 0.80/1.23 skol2( X, Y, Z, T ) ) }.
% 0.80/1.23 { ! perp( Z, T, X, Y ), ! eqangle( X, Z, Z, T, Z, T, Z, Y ), coll( skol3( U
% 0.80/1.23 , W, Z, T ), Z, T ) }.
% 0.80/1.23 { ! perp( Z, T, X, Y ), ! eqangle( X, Z, Z, T, Z, T, Z, Y ), coll( Y, X,
% 0.80/1.23 skol3( X, Y, Z, T ) ) }.
% 0.80/1.23 { ! perp( Z, T, X, Y ), ! cong( Z, X, Z, Y ), coll( skol4( U, W, Z, T ), Z
% 0.80/1.23 , T ) }.
% 0.80/1.23 { ! perp( Z, T, X, Y ), ! cong( Z, X, Z, Y ), coll( Y, X, skol4( X, Y, Z, T
% 0.80/1.23 ) ) }.
% 0.80/1.23 { ! eqangle( X, Z, Y, Z, X, T, Y, U ), coll( X, Y, Z ), cyclic( T, Y, Z,
% 0.80/1.23 skol5( W, Y, Z, T ) ) }.
% 0.80/1.23 { ! eqangle( X, Z, Y, Z, X, T, Y, U ), coll( X, Y, Z ), eqangle( X, Z, Y, Z
% 0.80/1.23 , X, skol5( X, Y, Z, T ), Y, skol5( X, Y, Z, T ) ) }.
% 0.80/1.23 { ! midp( U, X, Y ), ! midp( W, Z, T ), midp( skol6( X, V0, V1, T, V2, V3 )
% 0.80/1.23 , X, T ) }.
% 0.80/1.23 { ! midp( U, X, Y ), ! midp( W, Z, T ), para( skol6( X, V0, Z, T, V1, W ),
% 0.80/1.23 W, X, Z ) }.
% 0.80/1.23 { ! midp( U, X, Y ), ! midp( W, Z, T ), para( skol6( X, Y, Z, T, U, W ), U
% 0.80/1.23 , Y, T ) }.
% 0.80/1.23 { ! midp( Z, X, Y ), ! midp( W, T, U ), ! coll( T, X, Y ), ! coll( U, X, Y
% 0.80/1.23 ), midp( skol7( X, V0 ), X, V0 ) }.
% 0.80/1.23 { ! midp( T, X, U ), ! para( X, W, Z, T ), ! para( X, W, U, Y ), ! coll( W
% 0.80/1.23 , Y, Z ), coll( skol8( V0, V1, Z, T ), T, Z ) }.
% 0.80/1.23 { ! midp( T, X, U ), ! para( X, W, Z, T ), ! para( X, W, U, Y ), ! coll( W
% 0.80/1.23 , Y, Z ), coll( skol8( X, Y, Z, T ), X, Y ) }.
% 0.80/1.23 { ! cong( T, Z, T, U ), ! perp( X, Y, Y, T ), cong( T, Z, T, skol9( W, V0,
% 0.80/1.23 Z, T ) ) }.
% 0.80/1.23 { ! cong( T, Z, T, U ), ! perp( X, Y, Y, T ), cong( Y, Z, Y, skol9( W, Y, Z
% 0.80/1.23 , T ) ) }.
% 0.80/1.23 { ! cong( T, Z, T, U ), ! perp( X, Y, Y, T ), para( skol9( X, Y, Z, T ), Z
% 0.80/1.23 , X, Y ) }.
% 0.80/1.23 { ! perp( X, T, Y, Z ), ! perp( Y, T, X, Z ), coll( skol10( U, Y, Z ), Z, Y
% 0.80/1.23 ) }.
% 0.80/1.23 { ! perp( X, T, Y, Z ), ! perp( Y, T, X, Z ), perp( X, skol10( X, Y, Z ), Z
% 0.80/1.23 , Y ) }.
% 0.80/1.23 { ! perp( X, T, Y, Z ), ! perp( Y, T, X, Z ), alpha1( X, Y, Z ) }.
% 0.80/1.23 { ! alpha1( X, Y, Z ), coll( skol11( X, T, Z ), Z, X ) }.
% 0.80/1.23 { ! alpha1( X, Y, Z ), perp( Y, skol11( X, Y, Z ), Z, X ) }.
% 0.80/1.23 { ! coll( T, Z, X ), ! perp( Y, T, Z, X ), alpha1( X, Y, Z ) }.
% 0.80/1.23 { ! circle( Y, X, Z, T ), perp( skol12( X, Y ), X, X, Y ) }.
% 3.12/3.52 { ! circle( W, X, Y, Z ), ! cong( W, X, W, T ), ! cong( U, X, U, Y ), W = U
% 3.12/3.52 , alpha2( X, Z, U, skol13( X, V0, Z, V1, U ) ) }.
% 3.12/3.52 { ! circle( W, X, Y, Z ), ! cong( W, X, W, T ), ! cong( U, X, U, Y ), W = U
% 3.12/3.52 , coll( skol21( V0, Y, T, V1 ), Y, T ) }.
% 3.12/3.52 { ! circle( W, X, Y, Z ), ! cong( W, X, W, T ), ! cong( U, X, U, Y ), W = U
% 3.12/3.52 , cong( skol21( X, Y, T, U ), U, U, X ) }.
% 3.12/3.52 { ! alpha2( X, Y, Z, T ), coll( T, X, Y ) }.
% 3.12/3.52 { ! alpha2( X, Y, Z, T ), cong( T, Z, Z, X ) }.
% 3.12/3.52 { ! coll( T, X, Y ), ! cong( T, Z, Z, X ), alpha2( X, Y, Z, T ) }.
% 3.12/3.52 { ! cyclic( X, Y, Z, T ), ! para( X, Y, Z, T ), ! midp( U, X, Y ), circle(
% 3.12/3.52 skol14( X, Y, Z ), X, Y, Z ) }.
% 3.12/3.52 { ! perp( X, Z, Z, Y ), ! cyclic( X, Y, Z, T ), circle( skol15( X, Y, Z ),
% 3.12/3.52 X, Y, Z ) }.
% 3.12/3.52 { ! perp( X, U, U, T ), ! coll( T, Y, Z ), coll( skol16( W, Y, Z ), Y, Z )
% 3.12/3.52 }.
% 3.12/3.52 { ! perp( X, U, U, T ), ! coll( T, Y, Z ), perp( skol16( X, Y, Z ), X, Y, Z
% 3.12/3.52 ) }.
% 3.12/3.52 { ! perp( X, Z, X, Y ), ! perp( Y, X, Y, T ), ! midp( U, Z, T ), midp(
% 3.12/3.52 skol17( X, Y ), X, Y ) }.
% 3.12/3.52 { ! cong( Y, X, Y, Z ), ! perp( X, Y, Y, Z ), coll( X, Y, skol18( X, Y ) )
% 3.12/3.53 }.
% 3.12/3.53 { ! cong( Y, X, Y, Z ), ! perp( X, Y, Y, Z ), cong( Y, X, Y, skol18( X, Y )
% 3.12/3.53 ) }.
% 3.12/3.53 { ! para( U, W, X, Y ), ! coll( Z, U, X ), ! coll( Z, W, Y ), ! coll( T, U
% 3.12/3.53 , W ), coll( Z, T, skol19( V0, V1, Z, T ) ) }.
% 3.12/3.53 { ! para( U, W, X, Y ), ! coll( Z, U, X ), ! coll( Z, W, Y ), ! coll( T, U
% 3.12/3.53 , W ), coll( skol19( X, Y, Z, T ), X, Y ) }.
% 3.12/3.53 { circle( skol28, skol25, skol26, skol27 ) }.
% 3.12/3.53 { circle( skol28, skol25, skol20, skol29 ) }.
% 3.12/3.53 { perp( skol30, skol20, skol25, skol27 ) }.
% 3.12/3.53 { coll( skol30, skol25, skol27 ) }.
% 3.12/3.53 { perp( skol31, skol20, skol25, skol26 ) }.
% 3.12/3.53 { coll( skol31, skol25, skol26 ) }.
% 3.12/3.53 { circle( skol28, skol25, skol32, skol33 ) }.
% 3.12/3.53 { perp( skol22, skol32, skol25, skol27 ) }.
% 3.12/3.53 { coll( skol22, skol25, skol27 ) }.
% 3.12/3.53 { perp( skol23, skol32, skol25, skol26 ) }.
% 3.12/3.53 { coll( skol23, skol25, skol26 ) }.
% 3.12/3.53 { para( skol30, skol31, skol24, skol32 ) }.
% 3.12/3.53 { circle( skol28, skol25, skol24, skol34 ) }.
% 3.12/3.53 { ! para( skol24, skol20, skol23, skol22 ) }.
% 3.12/3.53
% 3.12/3.53 percentage equality = 0.008621, percentage horn = 0.930769
% 3.12/3.53 This is a problem with some equality
% 3.12/3.53
% 3.12/3.53
% 3.12/3.53
% 3.12/3.53 Options Used:
% 3.12/3.53
% 3.12/3.53 useres = 1
% 3.12/3.53 useparamod = 1
% 3.12/3.53 useeqrefl = 1
% 3.12/3.53 useeqfact = 1
% 3.12/3.53 usefactor = 1
% 3.12/3.53 usesimpsplitting = 0
% 3.12/3.53 usesimpdemod = 5
% 3.12/3.53 usesimpres = 3
% 3.12/3.53
% 3.12/3.53 resimpinuse = 1000
% 3.12/3.53 resimpclauses = 20000
% 3.12/3.53 substype = eqrewr
% 3.12/3.53 backwardsubs = 1
% 3.12/3.53 selectoldest = 5
% 3.12/3.53
% 3.12/3.53 litorderings [0] = split
% 3.12/3.53 litorderings [1] = extend the termordering, first sorting on arguments
% 3.12/3.53
% 3.12/3.53 termordering = kbo
% 3.12/3.53
% 3.12/3.53 litapriori = 0
% 3.12/3.53 termapriori = 1
% 3.12/3.53 litaposteriori = 0
% 3.12/3.53 termaposteriori = 0
% 3.12/3.53 demodaposteriori = 0
% 3.12/3.53 ordereqreflfact = 0
% 3.12/3.53
% 3.12/3.53 litselect = negord
% 3.12/3.53
% 3.12/3.53 maxweight = 15
% 3.12/3.53 maxdepth = 30000
% 3.12/3.53 maxlength = 115
% 3.12/3.53 maxnrvars = 195
% 3.12/3.53 excuselevel = 1
% 3.12/3.53 increasemaxweight = 1
% 3.12/3.53
% 3.12/3.53 maxselected = 10000000
% 3.12/3.53 maxnrclauses = 10000000
% 3.12/3.53
% 3.12/3.53 showgenerated = 0
% 3.12/3.53 showkept = 0
% 3.12/3.53 showselected = 0
% 3.12/3.53 showdeleted = 0
% 3.12/3.53 showresimp = 1
% 3.12/3.53 showstatus = 2000
% 3.12/3.53
% 3.12/3.53 prologoutput = 0
% 3.12/3.53 nrgoals = 5000000
% 3.12/3.53 totalproof = 1
% 3.12/3.53
% 3.12/3.53 Symbols occurring in the translation:
% 3.12/3.53
% 3.12/3.53 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 3.12/3.53 . [1, 2] (w:1, o:50, a:1, s:1, b:0),
% 3.12/3.53 ! [4, 1] (w:0, o:45, a:1, s:1, b:0),
% 3.12/3.53 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 3.12/3.53 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 3.12/3.53 coll [38, 3] (w:1, o:78, a:1, s:1, b:0),
% 3.12/3.53 para [40, 4] (w:1, o:86, a:1, s:1, b:0),
% 3.12/3.53 perp [43, 4] (w:1, o:87, a:1, s:1, b:0),
% 3.12/3.53 midp [45, 3] (w:1, o:79, a:1, s:1, b:0),
% 3.12/3.53 cong [47, 4] (w:1, o:88, a:1, s:1, b:0),
% 3.12/3.53 circle [48, 4] (w:1, o:89, a:1, s:1, b:0),
% 3.12/3.53 cyclic [49, 4] (w:1, o:90, a:1, s:1, b:0),
% 3.12/3.53 eqangle [54, 8] (w:1, o:105, a:1, s:1, b:0),
% 3.12/3.53 eqratio [57, 8] (w:1, o:106, a:1, s:1, b:0),
% 3.12/3.53 simtri [59, 6] (w:1, o:102, a:1, s:1, b:0),
% 3.12/3.53 contri [60, 6] (w:1, o:103, a:1, s:1, b:0),
% 3.12/3.53 alpha1 [71, 3] (w:1, o:80, a:1, s:1, b:1),
% 3.12/3.53 alpha2 [72, 4] (w:1, o:91, a:1, s:1, b:1),
% 3.12/3.53 skol1 [73, 4] (w:1, o:92, a:1, s:1, b:1),
% 3.12/3.53 skol2 [74, 4] (w:1, o:94, a:1, s:1, b:1),
% 19.62/19.98 skol3 [75, 4] (w:1, o:96, a:1, s:1, b:1),
% 19.62/19.98 skol4 [76, 4] (w:1, o:97, a:1, s:1, b:1),
% 19.62/19.98 skol5 [77, 4] (w:1, o:98, a:1, s:1, b:1),
% 19.62/19.98 skol6 [78, 6] (w:1, o:104, a:1, s:1, b:1),
% 19.62/19.98 skol7 [79, 2] (w:1, o:74, a:1, s:1, b:1),
% 19.62/19.98 skol8 [80, 4] (w:1, o:99, a:1, s:1, b:1),
% 19.62/19.98 skol9 [81, 4] (w:1, o:100, a:1, s:1, b:1),
% 19.62/19.98 skol10 [82, 3] (w:1, o:81, a:1, s:1, b:1),
% 19.62/19.98 skol11 [83, 3] (w:1, o:82, a:1, s:1, b:1),
% 19.62/19.98 skol12 [84, 2] (w:1, o:75, a:1, s:1, b:1),
% 19.62/19.98 skol13 [85, 5] (w:1, o:101, a:1, s:1, b:1),
% 19.62/19.98 skol14 [86, 3] (w:1, o:83, a:1, s:1, b:1),
% 19.62/19.98 skol15 [87, 3] (w:1, o:84, a:1, s:1, b:1),
% 19.62/19.98 skol16 [88, 3] (w:1, o:85, a:1, s:1, b:1),
% 19.62/19.98 skol17 [89, 2] (w:1, o:76, a:1, s:1, b:1),
% 19.62/19.98 skol18 [90, 2] (w:1, o:77, a:1, s:1, b:1),
% 19.62/19.98 skol19 [91, 4] (w:1, o:93, a:1, s:1, b:1),
% 19.62/19.98 skol20 [92, 0] (w:1, o:31, a:1, s:1, b:1),
% 19.62/19.98 skol21 [93, 4] (w:1, o:95, a:1, s:1, b:1),
% 19.62/19.98 skol22 [94, 0] (w:1, o:32, a:1, s:1, b:1),
% 19.62/19.98 skol23 [95, 0] (w:1, o:33, a:1, s:1, b:1),
% 19.62/19.98 skol24 [96, 0] (w:1, o:34, a:1, s:1, b:1),
% 19.62/19.98 skol25 [97, 0] (w:1, o:35, a:1, s:1, b:1),
% 19.62/19.98 skol26 [98, 0] (w:1, o:36, a:1, s:1, b:1),
% 19.62/19.98 skol27 [99, 0] (w:1, o:37, a:1, s:1, b:1),
% 19.62/19.98 skol28 [100, 0] (w:1, o:38, a:1, s:1, b:1),
% 19.62/19.98 skol29 [101, 0] (w:1, o:39, a:1, s:1, b:1),
% 19.62/19.98 skol30 [102, 0] (w:1, o:40, a:1, s:1, b:1),
% 19.62/19.98 skol31 [103, 0] (w:1, o:41, a:1, s:1, b:1),
% 19.62/19.98 skol32 [104, 0] (w:1, o:42, a:1, s:1, b:1),
% 19.62/19.98 skol33 [105, 0] (w:1, o:43, a:1, s:1, b:1),
% 19.62/19.98 skol34 [106, 0] (w:1, o:44, a:1, s:1, b:1).
% 19.62/19.98
% 19.62/19.98
% 19.62/19.98 Starting Search:
% 19.62/19.98
% 19.62/19.98 *** allocated 15000 integers for clauses
% 19.62/19.98 *** allocated 22500 integers for clauses
% 19.62/19.98 *** allocated 33750 integers for clauses
% 19.62/19.98 *** allocated 50625 integers for clauses
% 19.62/19.98 *** allocated 22500 integers for termspace/termends
% 19.62/19.98 *** allocated 75937 integers for clauses
% 19.62/19.98 Resimplifying inuse:
% 19.62/19.98 Done
% 19.62/19.98
% 19.62/19.98 *** allocated 33750 integers for termspace/termends
% 19.62/19.98 *** allocated 113905 integers for clauses
% 19.62/19.98 *** allocated 50625 integers for termspace/termends
% 19.62/19.98
% 19.62/19.98 Intermediate Status:
% 19.62/19.98 Generated: 9037
% 19.62/19.98 Kept: 2022
% 19.62/19.98 Inuse: 326
% 19.62/19.98 Deleted: 0
% 19.62/19.98 Deletedinuse: 0
% 19.62/19.98
% 19.62/19.98 Resimplifying inuse:
% 19.62/19.98 Done
% 19.62/19.98
% 19.62/19.98 *** allocated 170857 integers for clauses
% 19.62/19.98 *** allocated 75937 integers for termspace/termends
% 19.62/19.98 Resimplifying inuse:
% 19.62/19.98 Done
% 19.62/19.98
% 19.62/19.98 *** allocated 256285 integers for clauses
% 19.62/19.98 *** allocated 113905 integers for termspace/termends
% 19.62/19.98
% 19.62/19.98 Intermediate Status:
% 19.62/19.98 Generated: 27300
% 19.62/19.98 Kept: 4034
% 19.62/19.98 Inuse: 466
% 19.62/19.98 Deleted: 1
% 19.62/19.98 Deletedinuse: 1
% 19.62/19.98
% 19.62/19.98 Resimplifying inuse:
% 19.62/19.98 Done
% 19.62/19.98
% 19.62/19.98 Resimplifying inuse:
% 19.62/19.98 Done
% 19.62/19.98
% 19.62/19.98 *** allocated 384427 integers for clauses
% 19.62/19.98 *** allocated 170857 integers for termspace/termends
% 19.62/19.98
% 19.62/19.98 Intermediate Status:
% 19.62/19.98 Generated: 42696
% 19.62/19.98 Kept: 6227
% 19.62/19.98 Inuse: 531
% 19.62/19.98 Deleted: 1
% 19.62/19.98 Deletedinuse: 1
% 19.62/19.98
% 19.62/19.98 Resimplifying inuse:
% 19.62/19.98 Done
% 19.62/19.98
% 19.62/19.98 Resimplifying inuse:
% 19.62/19.98 Done
% 19.62/19.98
% 19.62/19.98 *** allocated 576640 integers for clauses
% 19.62/19.98
% 19.62/19.98 Intermediate Status:
% 19.62/19.98 Generated: 59426
% 19.62/19.98 Kept: 8233
% 19.62/19.98 Inuse: 693
% 19.62/19.98 Deleted: 2
% 19.62/19.98 Deletedinuse: 1
% 19.62/19.98
% 19.62/19.98 Resimplifying inuse:
% 19.62/19.98 Done
% 19.62/19.98
% 19.62/19.98 *** allocated 256285 integers for termspace/termends
% 19.62/19.98 Resimplifying inuse:
% 19.62/19.98 Done
% 19.62/19.98
% 19.62/19.98
% 19.62/19.98 Intermediate Status:
% 19.62/19.98 Generated: 83957
% 19.62/19.98 Kept: 10235
% 19.62/19.98 Inuse: 793
% 19.62/19.98 Deleted: 9
% 19.62/19.98 Deletedinuse: 3
% 19.62/19.98
% 19.62/19.98 Resimplifying inuse:
% 19.62/19.98 Done
% 19.62/19.98
% 19.62/19.98 Resimplifying inuse:
% 19.62/19.98 Done
% 19.62/19.98
% 19.62/19.98 *** allocated 864960 integers for clauses
% 19.62/19.98
% 19.62/19.98 Intermediate Status:
% 19.62/19.98 Generated: 97035
% 19.62/19.98 Kept: 12445
% 19.62/19.98 Inuse: 860
% 19.62/19.98 Deleted: 14
% 19.62/19.98 Deletedinuse: 8
% 19.62/19.98
% 19.62/19.98 Resimplifying inuse:
% 19.62/19.98 Done
% 19.62/19.98
% 19.62/19.98 Resimplifying inuse:
% 19.62/19.98 Done
% 19.62/19.98
% 19.62/19.98
% 19.62/19.98 Intermediate Status:
% 19.62/19.98 Generated: 106361
% 19.62/19.98 Kept: 14481
% 19.62/19.98 Inuse: 928
% 19.62/19.98 Deleted: 16
% 19.62/19.98 Deletedinuse: 8
% 19.62/19.98
% 19.62/19.98 Resimplifying inuse:
% 19.62/19.98 Done
% 19.62/19.98
% 19.62/19.98 *** allocated 384427 integers for termspace/termends
% 19.62/19.98 Resimplifying inuse:
% 19.62/19.98 Done
% 19.62/19.98
% 19.62/19.98
% 19.62/19.98 Intermediate Status:
% 19.62/19.98 Generated: 120841
% 19.62/19.98 Kept: 16486
% 19.62/19.98 Inuse: 1054
% 19.62/19.98 Deleted: 18
% 19.62/19.98 Deletedinuse: 8
% 19.62/19.98
% 19.62/19.98 Resimplifying inuse:
% 19.62/19.98 Done
% 19.62/19.98
% 19.62/19.98 Resimplifying inuse:
% 19.62/19.98 Done
% 19.62/19.98
% 19.62/19.98
% 19.62/19.98 Intermediate Status:
% 19.62/19.98 Generated: 139425
% 19.62/19.98 Kept: 18492
% 19.62/19.98 Inuse: 1201
% 19.62/19.98 Deleted: 18
% 19.62/19.98 Deletedinuse: 8
% 19.62/19.98
% 19.62/19.98 Resimplifying inuse:
% 19.62/19.98 Done
% 19.62/19.98
% 19.62/19.98 *** allocated 1297440 integers for clauses
% 19.62/19.98 Resimplifying inuse:
% 19.62/19.98 Done
% 20.69/21.07
% 20.69/21.07 Resimplifying clauses:
% 20.69/21.07 Done
% 20.69/21.07
% 20.69/21.07
% 20.69/21.07 Intermediate Status:
% 20.69/21.07 Generated: 157343
% 20.69/21.07 Kept: 20513
% 20.69/21.07 Inuse: 1328
% 20.69/21.07 Deleted: 994
% 20.69/21.07 Deletedinuse: 8
% 20.69/21.07
% 20.69/21.07 Resimplifying inuse:
% 20.69/21.07 Done
% 20.69/21.07
% 20.69/21.07 Resimplifying inuse:
% 20.69/21.07 Done
% 20.69/21.07
% 20.69/21.07
% 20.69/21.07 Intermediate Status:
% 20.69/21.07 Generated: 166386
% 20.69/21.07 Kept: 22526
% 20.69/21.07 Inuse: 1404
% 20.69/21.07 Deleted: 994
% 20.69/21.07 Deletedinuse: 8
% 20.69/21.07
% 20.69/21.07 Resimplifying inuse:
% 20.69/21.07 Done
% 20.69/21.07
% 20.69/21.07 Resimplifying inuse:
% 20.69/21.07 Done
% 20.69/21.07
% 20.69/21.07
% 20.69/21.07 Intermediate Status:
% 20.69/21.07 Generated: 177267
% 20.69/21.07 Kept: 24548
% 20.69/21.07 Inuse: 1499
% 20.69/21.07 Deleted: 994
% 20.69/21.07 Deletedinuse: 8
% 20.69/21.07
% 20.69/21.07 Resimplifying inuse:
% 20.69/21.07 Done
% 20.69/21.07
% 20.69/21.07 *** allocated 576640 integers for termspace/termends
% 20.69/21.07 Resimplifying inuse:
% 20.69/21.07 Done
% 20.69/21.07
% 20.69/21.07
% 20.69/21.07 Intermediate Status:
% 20.69/21.07 Generated: 186436
% 20.69/21.07 Kept: 26565
% 20.69/21.07 Inuse: 1583
% 20.69/21.07 Deleted: 994
% 20.69/21.07 Deletedinuse: 8
% 20.69/21.07
% 20.69/21.07 Resimplifying inuse:
% 20.69/21.07 Done
% 20.69/21.07
% 20.69/21.07 Resimplifying inuse:
% 20.69/21.07 Done
% 20.69/21.07
% 20.69/21.07 *** allocated 1946160 integers for clauses
% 20.69/21.07
% 20.69/21.07 Intermediate Status:
% 20.69/21.07 Generated: 196446
% 20.69/21.07 Kept: 28611
% 20.69/21.07 Inuse: 1684
% 20.69/21.07 Deleted: 994
% 20.69/21.07 Deletedinuse: 8
% 20.69/21.07
% 20.69/21.07 Resimplifying inuse:
% 20.69/21.07 Done
% 20.69/21.07
% 20.69/21.07 Resimplifying inuse:
% 20.69/21.07 Done
% 20.69/21.07
% 20.69/21.07
% 20.69/21.07 Intermediate Status:
% 20.69/21.07 Generated: 210594
% 20.69/21.07 Kept: 30615
% 20.69/21.07 Inuse: 1812
% 20.69/21.07 Deleted: 994
% 20.69/21.07 Deletedinuse: 8
% 20.69/21.07
% 20.69/21.07 Resimplifying inuse:
% 20.69/21.07 Done
% 20.69/21.07
% 20.69/21.07 Resimplifying inuse:
% 20.69/21.07 Done
% 20.69/21.07
% 20.69/21.07
% 20.69/21.07 Intermediate Status:
% 20.69/21.07 Generated: 225572
% 20.69/21.07 Kept: 32619
% 20.69/21.07 Inuse: 1947
% 20.69/21.07 Deleted: 995
% 20.69/21.07 Deletedinuse: 8
% 20.69/21.07
% 20.69/21.07 Resimplifying inuse:
% 20.69/21.07 Done
% 20.69/21.07
% 20.69/21.07 Resimplifying inuse:
% 20.69/21.07 Done
% 20.69/21.07
% 20.69/21.07
% 20.69/21.07 Intermediate Status:
% 20.69/21.07 Generated: 238663
% 20.69/21.07 Kept: 34641
% 20.69/21.07 Inuse: 2070
% 20.69/21.07 Deleted: 995
% 20.69/21.07 Deletedinuse: 8
% 20.69/21.07
% 20.69/21.07 Resimplifying inuse:
% 20.69/21.07 Done
% 20.69/21.07
% 20.69/21.07 Resimplifying inuse:
% 20.69/21.07 Done
% 20.69/21.07
% 20.69/21.07
% 20.69/21.07 Intermediate Status:
% 20.69/21.07 Generated: 254280
% 20.69/21.07 Kept: 36666
% 20.69/21.07 Inuse: 2229
% 20.69/21.07 Deleted: 1009
% 20.69/21.07 Deletedinuse: 22
% 20.69/21.07
% 20.69/21.07 Resimplifying inuse:
% 20.69/21.07 Done
% 20.69/21.07
% 20.69/21.07 Resimplifying inuse:
% 20.69/21.07 Done
% 20.69/21.07
% 20.69/21.07
% 20.69/21.07 Intermediate Status:
% 20.69/21.07 Generated: 269088
% 20.69/21.07 Kept: 38669
% 20.69/21.07 Inuse: 2355
% 20.69/21.07 Deleted: 1019
% 20.69/21.07 Deletedinuse: 32
% 20.69/21.07
% 20.69/21.07 Resimplifying inuse:
% 20.69/21.07 Done
% 20.69/21.07
% 20.69/21.07 Resimplifying inuse:
% 20.69/21.07 Done
% 20.69/21.07
% 20.69/21.07 Resimplifying clauses:
% 20.69/21.07 Done
% 20.69/21.07
% 20.69/21.07
% 20.69/21.07 Intermediate Status:
% 20.69/21.07 Generated: 284825
% 20.69/21.07 Kept: 40669
% 20.69/21.07 Inuse: 2508
% 20.69/21.07 Deleted: 2986
% 20.69/21.07 Deletedinuse: 56
% 20.69/21.07
% 20.69/21.07 Resimplifying inuse:
% 20.69/21.07 Done
% 20.69/21.07
% 20.69/21.07 *** allocated 864960 integers for termspace/termends
% 20.69/21.07 Resimplifying inuse:
% 20.69/21.07 Done
% 20.69/21.07
% 20.69/21.07 *** allocated 2919240 integers for clauses
% 20.69/21.07
% 20.69/21.07 Intermediate Status:
% 20.69/21.07 Generated: 302039
% 20.69/21.07 Kept: 44648
% 20.69/21.07 Inuse: 2643
% 20.69/21.07 Deleted: 3008
% 20.69/21.07 Deletedinuse: 78
% 20.69/21.07
% 20.69/21.07 Resimplifying inuse:
% 20.69/21.07 Done
% 20.69/21.07
% 20.69/21.07
% 20.69/21.07 Intermediate Status:
% 20.69/21.07 Generated: 311762
% 20.69/21.07 Kept: 47876
% 20.69/21.07 Inuse: 2708
% 20.69/21.07 Deleted: 3012
% 20.69/21.07 Deletedinuse: 82
% 20.69/21.07
% 20.69/21.07 Resimplifying inuse:
% 20.69/21.07 Done
% 20.69/21.07
% 20.69/21.07
% 20.69/21.07 Intermediate Status:
% 20.69/21.07 Generated: 322886
% 20.69/21.07 Kept: 51290
% 20.69/21.07 Inuse: 2723
% 20.69/21.07 Deleted: 3012
% 20.69/21.07 Deletedinuse: 82
% 20.69/21.07
% 20.69/21.07 Resimplifying inuse:
% 20.69/21.07 Done
% 20.69/21.07
% 20.69/21.07 Resimplifying inuse:
% 20.69/21.07 Done
% 20.69/21.07
% 20.69/21.07
% 20.69/21.07 Intermediate Status:
% 20.69/21.07 Generated: 340170
% 20.69/21.07 Kept: 53296
% 20.69/21.07 Inuse: 2785
% 20.69/21.07 Deleted: 3019
% 20.69/21.07 Deletedinuse: 89
% 20.69/21.07
% 20.69/21.07 Resimplifying inuse:
% 20.69/21.07 Done
% 20.69/21.07
% 20.69/21.07 Resimplifying inuse:
% 20.69/21.07 Done
% 20.69/21.07
% 20.69/21.07
% 20.69/21.07 Intermediate Status:
% 20.69/21.07 Generated: 356660
% 20.69/21.07 Kept: 57437
% 20.69/21.07 Inuse: 2851
% 20.69/21.07 Deleted: 3027
% 20.69/21.07 Deletedinuse: 95
% 20.69/21.07
% 20.69/21.07 Resimplifying inuse:
% 20.69/21.07 Done
% 20.69/21.07
% 20.69/21.07 Resimplifying inuse:
% 20.69/21.07 Done
% 20.69/21.07
% 20.69/21.07
% 20.69/21.07 Intermediate Status:
% 20.69/21.07 Generated: 372057
% 20.69/21.07 Kept: 59441
% 20.69/21.07 Inuse: 2990
% 20.69/21.07 Deleted: 3029
% 20.69/21.07 Deletedinuse: 95
% 20.69/21.07
% 20.69/21.07 Resimplifying inuse:
% 20.69/21.07 Done
% 20.69/21.07
% 20.69/21.07 Resimplifying inuse:
% 20.69/21.07 Done
% 20.69/21.07
% 20.69/21.07 Resimplifying clauses:
% 20.69/21.07 Done
% 20.69/21.07
% 20.69/21.07
% 20.69/21.07 Intermediate Status:
% 20.69/21.07 Generated: 380595
% 20.69/21.07 Kept: 62234
% 20.69/21.07 Inuse: 3021
% 20.69/21.07 Deleted: 7324
% 20.69/21.07 Deletedinuse: 100
% 20.69/21.07
% 20.69/21.07 Resimplifying inuse:
% 20.69/21.07 Done
% 20.69/21.07
% 20.69/21.07 Resimplifying inuse:
% 20.69/21.07 Done
% 20.69/21.07
% 20.69/21.07
% 20.69/21.07 Intermediate Status:
% 20.69/21.07 Generated: 388886
% 20.69/21.07 Kept: 64245
% 20.69/21.07 Inuse: 3062
% 20.69/21.07 Deleted: 7460
% 20.69/21.07 Deletedinuse: 180
% 20.69/21.07
% 20.69/21.07 *** allocated 1297440 integers for termspace/termends
% 20.69/21.07 Resimplifying inuse:
% 20.69/21.07 Done
% 20.69/21.07
% 20.69/21.07 *** allocated 4378860 integers for clauses
% 20.69/21.07 Resimplifying inuse:
% 20.69/21.07 Done
% 20.69/21.07
% 20.69/21.07
% 20.69/21.07 Intermediate Status:
% 20.69/21.07 Generated: 404186
% 20.69/21.07 Kept: 66248
% 20.69/21.07 Inuse: 3217
% 20.69/21.07 Deleted: 7499
% 20.69/21.07 Deletedinuse: 180
% 20.69/21.07
% 20.69/21.07 Resimplifying inuse:
% 20.69/21.07 Done
% 20.69/21.07
% 20.69/21.07 Resimplifying inuse:
% 20.69/21.07 Done
% 20.69/21.07
% 20.69/21.07
% 20.69/21.07 Intermediate Status:
% 20.69/21.07 Generated: 421633
% 20.69/21.07 Kept: 68256
% 20.69/21.07 Inuse: 3336
% 20.69/21.07 Deleted: 7528
% 20.69/21.07 Deletedinuse: 180
% 20.69/21.07
% 20.69/21.07 Resimplifying inuse:
% 20.69/21.07 Done
% 20.69/21.07
% 20.69/21.07 Resimplifying inuse:
% 20.69/21.07 Done
% 20.69/21.07
% 20.69/21.07
% 20.69/21.07 Intermediate Status:
% 20.69/21.07 Generated: 440561
% 20.69/21.07 Kept: 70266
% 20.69/21.07 Inuse: 3462
% 20.69/21.07 Deleted: 7560
% 20.69/21.07 Deletedinuse: 180
% 20.69/21.07
% 20.69/21.07 Resimplifying inuse:
% 20.69/21.07 Done
% 20.69/21.07
% 20.69/21.07 Resimplifying inuse:
% 20.69/21.07 Done
% 20.69/21.07
% 20.69/21.07
% 20.69/21.07 Intermediate Status:
% 20.69/21.07 Generated: 453234
% 20.69/21.07 Kept: 72273
% 20.69/21.07 Inuse: 3534
% 20.69/21.07 Deleted: 7578
% 20.69/21.07 Deletedinuse: 183
% 20.69/21.07
% 20.69/21.07 Resimplifying inuse:
% 20.69/21.07 Done
% 20.69/21.07
% 20.69/21.07
% 20.69/21.07 Bliksems!, er is een bewijs:
% 20.69/21.07 % SZS status Theorem
% 20.69/21.07 % SZS output start Refutation
% 20.69/21.07
% 20.69/21.07 (0) {G0,W8,D2,L2,V3,M2} I { ! coll( X, Y, Z ), coll( X, Z, Y ) }.
% 20.69/21.07 (2) {G0,W12,D2,L3,V4,M3} I { ! coll( X, T, Y ), ! coll( X, T, Z ), coll( Y
% 20.69/21.07 , Z, X ) }.
% 20.69/21.07 (3) {G0,W10,D2,L2,V4,M2} I { ! para( X, Y, Z, T ), para( X, Y, T, Z ) }.
% 20.69/21.07 (5) {G0,W15,D2,L3,V6,M3} I { ! para( X, Y, U, W ), ! para( U, W, Z, T ),
% 20.69/21.07 para( X, Y, Z, T ) }.
% 20.69/21.07 (6) {G0,W10,D2,L2,V4,M2} I { ! perp( X, Y, Z, T ), perp( X, Y, T, Z ) }.
% 20.69/21.07 (7) {G0,W10,D2,L2,V4,M2} I { ! perp( X, Y, Z, T ), perp( Z, T, X, Y ) }.
% 20.69/21.07 (8) {G0,W15,D2,L3,V6,M3} I { ! perp( X, Y, U, W ), ! perp( U, W, Z, T ),
% 20.69/21.07 para( X, Y, Z, T ) }.
% 20.69/21.07 (13) {G0,W10,D2,L2,V4,M2} I { ! cyclic( X, Y, Z, T ), cyclic( X, Y, T, Z )
% 20.69/21.07 }.
% 20.69/21.07 (14) {G0,W10,D2,L2,V4,M2} I { ! cyclic( X, Y, Z, T ), cyclic( X, Z, Y, T )
% 20.69/21.07 }.
% 20.69/21.07 (15) {G0,W10,D2,L2,V4,M2} I { ! cyclic( X, Y, Z, T ), cyclic( Y, X, Z, T )
% 20.69/21.07 }.
% 20.69/21.07 (16) {G0,W15,D2,L3,V5,M3} I { ! cyclic( U, X, Y, Z ), ! cyclic( U, X, Y, T
% 20.69/21.07 ), cyclic( X, Y, Z, T ) }.
% 20.69/21.07 (18) {G0,W18,D2,L2,V8,M2} I { ! eqangle( X, Y, Z, T, U, W, V0, V1 ),
% 20.69/21.07 eqangle( Z, T, X, Y, V0, V1, U, W ) }.
% 20.69/21.07 (39) {G0,W14,D2,L2,V6,M2} I { ! para( X, Y, Z, T ), eqangle( X, Y, U, W, Z
% 20.69/21.07 , T, U, W ) }.
% 20.69/21.07 (40) {G0,W14,D2,L2,V4,M2} I { ! cyclic( X, Y, Z, T ), eqangle( Z, X, Z, Y,
% 20.69/21.07 T, X, T, Y ) }.
% 20.69/21.07 (42) {G0,W18,D2,L3,V4,M3} I { ! eqangle( Z, X, Z, Y, T, X, T, Y ), ! coll(
% 20.69/21.07 Z, T, Y ), cyclic( X, Y, Z, T ) }.
% 20.69/21.07 (43) {G0,W29,D2,L5,V6,M5} I { ! cyclic( X, Y, U, Z ), ! cyclic( X, Y, U, T
% 20.69/21.07 ), ! cyclic( X, Y, U, W ), ! eqangle( U, X, U, Y, W, Z, W, T ), cong( X
% 20.69/21.07 , Y, Z, T ) }.
% 20.69/21.07 (56) {G0,W15,D2,L3,V4,M3} I { ! cong( X, Z, Y, Z ), ! cong( X, T, Y, T ),
% 20.69/21.07 perp( X, Y, Z, T ) }.
% 20.69/21.07 (66) {G0,W9,D2,L2,V3,M2} I { ! para( X, Y, X, Z ), coll( X, Y, Z ) }.
% 20.69/21.07 (125) {G0,W5,D2,L1,V0,M1} I { perp( skol23, skol32, skol25, skol26 ) }.
% 20.69/21.07 (129) {G0,W5,D2,L1,V0,M1} I { ! para( skol24, skol20, skol23, skol22 ) }.
% 20.69/21.07 (206) {G1,W12,D2,L3,V4,M3} R(2,0) { ! coll( X, Y, Z ), ! coll( X, Y, T ),
% 20.69/21.07 coll( Z, X, T ) }.
% 20.69/21.07 (215) {G2,W8,D2,L2,V3,M2} F(206) { ! coll( X, Y, Z ), coll( Z, X, Z ) }.
% 20.69/21.07 (229) {G1,W5,D2,L1,V0,M1} R(3,129) { ! para( skol24, skol20, skol22, skol23
% 20.69/21.07 ) }.
% 20.69/21.07 (271) {G2,W10,D2,L2,V2,M2} R(229,5) { ! para( skol24, skol20, X, Y ), !
% 20.69/21.07 para( X, Y, skol22, skol23 ) }.
% 20.69/21.07 (287) {G1,W15,D2,L3,V6,M3} R(8,7) { ! perp( X, Y, Z, T ), para( U, W, Z, T
% 20.69/21.07 ), ! perp( X, Y, U, W ) }.
% 20.69/21.07 (288) {G1,W15,D2,L3,V6,M3} R(8,7) { ! perp( X, Y, Z, T ), para( X, Y, U, W
% 20.69/21.07 ), ! perp( U, W, Z, T ) }.
% 20.69/21.07 (304) {G2,W10,D2,L2,V4,M2} F(288) { ! perp( X, Y, Z, T ), para( X, Y, X, Y
% 20.69/21.07 ) }.
% 20.69/21.07 (336) {G1,W5,D2,L1,V0,M1} R(125,6) { perp( skol23, skol32, skol26, skol25 )
% 20.69/21.07 }.
% 20.69/21.07 (408) {G1,W10,D2,L2,V4,M2} R(14,13) { ! cyclic( X, Y, Z, T ), cyclic( X, Z
% 20.69/21.07 , T, Y ) }.
% 20.69/21.07 (424) {G1,W10,D2,L2,V4,M2} R(15,14) { cyclic( X, Y, Z, T ), ! cyclic( Y, Z
% 20.69/21.07 , X, T ) }.
% 20.69/21.07 (426) {G1,W10,D2,L2,V4,M2} R(15,13) { cyclic( X, Y, Z, T ), ! cyclic( Y, X
% 20.69/21.07 , T, Z ) }.
% 20.69/21.07 (452) {G1,W15,D2,L3,V5,M3} R(16,15) { ! cyclic( X, Y, Z, T ), ! cyclic( X,
% 20.69/21.07 Y, Z, U ), cyclic( Z, Y, T, U ) }.
% 20.69/21.07 (457) {G1,W15,D2,L3,V5,M3} R(16,13) { ! cyclic( X, Y, Z, T ), cyclic( Y, Z
% 20.69/21.07 , T, U ), ! cyclic( X, Y, U, Z ) }.
% 20.69/21.07 (461) {G2,W10,D2,L2,V4,M2} F(452) { ! cyclic( X, Y, Z, T ), cyclic( Z, Y, T
% 20.69/21.07 , T ) }.
% 20.69/21.07 (493) {G3,W12,D2,L3,V4,M3} R(215,2) { coll( X, Y, X ), ! coll( X, Z, Y ), !
% 20.69/21.07 coll( X, Z, T ) }.
% 20.69/21.07 (508) {G4,W8,D2,L2,V3,M2} F(493) { coll( X, Y, X ), ! coll( X, Z, Y ) }.
% 20.69/21.07 (737) {G5,W8,D2,L2,V3,M2} R(508,0) { ! coll( X, Y, Z ), coll( X, X, Z ) }.
% 20.69/21.07 (809) {G1,W14,D2,L2,V6,M2} R(39,18) { ! para( X, Y, Z, T ), eqangle( U, W,
% 20.69/21.07 X, Y, U, W, Z, T ) }.
% 20.69/21.07 (1005) {G1,W20,D2,L4,V4,M4} R(43,40);f { ! cyclic( X, Y, Z, X ), ! cyclic(
% 20.69/21.07 X, Y, Z, Y ), ! cyclic( X, Y, Z, T ), cong( X, Y, X, Y ) }.
% 20.69/21.07 (1037) {G2,W15,D2,L3,V3,M3} F(1005) { ! cyclic( X, Y, Z, X ), ! cyclic( X,
% 20.69/21.07 Y, Z, Y ), cong( X, Y, X, Y ) }.
% 20.69/21.07 (19411) {G3,W5,D2,L1,V0,M1} R(304,336) { para( skol23, skol32, skol23,
% 20.69/21.07 skol32 ) }.
% 20.69/21.07 (27140) {G4,W4,D2,L1,V0,M1} R(19411,66) { coll( skol23, skol32, skol32 )
% 20.69/21.07 }.
% 20.69/21.07 (27158) {G6,W4,D2,L1,V0,M1} R(27140,737) { coll( skol23, skol23, skol32 )
% 20.69/21.07 }.
% 20.69/21.07 (27277) {G7,W14,D2,L2,V1,M2} R(27158,42) { ! eqangle( skol23, X, skol23,
% 20.69/21.07 skol32, skol23, X, skol23, skol32 ), cyclic( X, skol32, skol23, skol23 )
% 20.69/21.07 }.
% 20.69/21.07 (58021) {G4,W9,D2,L1,V2,M1} R(809,19411) { eqangle( X, Y, skol23, skol32, X
% 20.69/21.07 , Y, skol23, skol32 ) }.
% 20.69/21.07 (60934) {G8,W5,D2,L1,V1,M1} S(27277);r(58021) { cyclic( X, skol32, skol23,
% 20.69/21.07 skol23 ) }.
% 20.69/21.07 (60976) {G9,W5,D2,L1,V1,M1} R(60934,426) { cyclic( skol32, X, skol23,
% 20.69/21.07 skol23 ) }.
% 20.69/21.07 (60988) {G10,W5,D2,L1,V1,M1} R(60976,461) { cyclic( skol23, X, skol23,
% 20.69/21.07 skol23 ) }.
% 20.69/21.07 (61010) {G11,W5,D2,L1,V1,M1} R(60988,424) { cyclic( skol23, skol23, X,
% 20.69/21.07 skol23 ) }.
% 20.69/21.07 (61011) {G11,W5,D2,L1,V1,M1} R(60988,408) { cyclic( skol23, skol23, skol23
% 20.69/21.07 , X ) }.
% 20.69/21.07 (61016) {G12,W5,D2,L1,V2,M1} R(61010,457);r(61011) { cyclic( skol23, skol23
% 20.69/21.07 , X, Y ) }.
% 20.69/21.07 (62242) {G13,W5,D2,L1,V3,M1} R(61016,457);r(61016) { cyclic( skol23, X, Y,
% 20.69/21.07 Z ) }.
% 20.69/21.07 (62259) {G14,W5,D2,L1,V4,M1} R(62242,457);r(62242) { cyclic( X, Y, Z, T )
% 20.69/21.07 }.
% 20.69/21.07 (73677) {G15,W5,D2,L1,V2,M1} S(1037);r(62259);r(62259) { cong( X, Y, X, Y )
% 20.69/21.07 }.
% 20.69/21.07 (73694) {G16,W5,D2,L1,V3,M1} R(73677,56);r(73677) { perp( X, X, Z, Y ) }.
% 20.69/21.07 (73735) {G17,W5,D2,L1,V4,M1} R(73694,287);r(73694) { para( X, Y, Z, T ) }.
% 20.69/21.07 (73907) {G18,W0,D0,L0,V0,M0} R(73735,271);r(73735) { }.
% 20.69/21.07
% 20.69/21.07
% 20.69/21.07 % SZS output end Refutation
% 20.69/21.07 found a proof!
% 20.69/21.07
% 20.69/21.07
% 20.69/21.07 Unprocessed initial clauses:
% 20.69/21.07
% 20.69/21.07 (73909) {G0,W8,D2,L2,V3,M2} { ! coll( X, Y, Z ), coll( X, Z, Y ) }.
% 20.69/21.07 (73910) {G0,W8,D2,L2,V3,M2} { ! coll( X, Y, Z ), coll( Y, X, Z ) }.
% 20.69/21.07 (73911) {G0,W12,D2,L3,V4,M3} { ! coll( X, T, Y ), ! coll( X, T, Z ), coll
% 20.69/21.07 ( Y, Z, X ) }.
% 20.69/21.07 (73912) {G0,W10,D2,L2,V4,M2} { ! para( X, Y, Z, T ), para( X, Y, T, Z )
% 20.69/21.07 }.
% 20.69/21.07 (73913) {G0,W10,D2,L2,V4,M2} { ! para( X, Y, Z, T ), para( Z, T, X, Y )
% 20.69/21.07 }.
% 20.69/21.07 (73914) {G0,W15,D2,L3,V6,M3} { ! para( X, Y, U, W ), ! para( U, W, Z, T )
% 20.69/21.07 , para( X, Y, Z, T ) }.
% 20.69/21.07 (73915) {G0,W10,D2,L2,V4,M2} { ! perp( X, Y, Z, T ), perp( X, Y, T, Z )
% 20.69/21.07 }.
% 20.69/21.07 (73916) {G0,W10,D2,L2,V4,M2} { ! perp( X, Y, Z, T ), perp( Z, T, X, Y )
% 20.69/21.07 }.
% 20.69/21.07 (73917) {G0,W15,D2,L3,V6,M3} { ! perp( X, Y, U, W ), ! perp( U, W, Z, T )
% 20.69/21.07 , para( X, Y, Z, T ) }.
% 20.69/21.07 (73918) {G0,W15,D2,L3,V6,M3} { ! para( X, Y, U, W ), ! perp( U, W, Z, T )
% 20.69/21.07 , perp( X, Y, Z, T ) }.
% 20.69/21.07 (73919) {G0,W8,D2,L2,V3,M2} { ! midp( Z, Y, X ), midp( Z, X, Y ) }.
% 20.69/21.07 (73920) {G0,W15,D2,L3,V4,M3} { ! cong( T, X, T, Y ), ! cong( T, X, T, Z )
% 20.69/21.07 , circle( T, X, Y, Z ) }.
% 20.69/21.07 (73921) {G0,W20,D2,L4,V5,M4} { ! cong( U, X, U, Y ), ! cong( U, X, U, Z )
% 20.69/21.07 , ! cong( U, X, U, T ), cyclic( X, Y, Z, T ) }.
% 20.69/21.07 (73922) {G0,W10,D2,L2,V4,M2} { ! cyclic( X, Y, Z, T ), cyclic( X, Y, T, Z
% 20.69/21.07 ) }.
% 20.69/21.07 (73923) {G0,W10,D2,L2,V4,M2} { ! cyclic( X, Y, Z, T ), cyclic( X, Z, Y, T
% 20.69/21.07 ) }.
% 20.69/21.07 (73924) {G0,W10,D2,L2,V4,M2} { ! cyclic( X, Y, Z, T ), cyclic( Y, X, Z, T
% 20.69/21.07 ) }.
% 20.69/21.07 (73925) {G0,W15,D2,L3,V5,M3} { ! cyclic( U, X, Y, Z ), ! cyclic( U, X, Y,
% 20.69/21.07 T ), cyclic( X, Y, Z, T ) }.
% 20.69/21.07 (73926) {G0,W18,D2,L2,V8,M2} { ! eqangle( X, Y, Z, T, U, W, V0, V1 ),
% 20.69/21.07 eqangle( Y, X, Z, T, U, W, V0, V1 ) }.
% 20.69/21.07 (73927) {G0,W18,D2,L2,V8,M2} { ! eqangle( X, Y, Z, T, U, W, V0, V1 ),
% 20.69/21.08 eqangle( Z, T, X, Y, V0, V1, U, W ) }.
% 20.69/21.08 (73928) {G0,W18,D2,L2,V8,M2} { ! eqangle( X, Y, Z, T, U, W, V0, V1 ),
% 20.69/21.08 eqangle( U, W, V0, V1, X, Y, Z, T ) }.
% 20.69/21.08 (73929) {G0,W18,D2,L2,V8,M2} { ! eqangle( X, Y, Z, T, U, W, V0, V1 ),
% 20.69/21.08 eqangle( X, Y, U, W, Z, T, V0, V1 ) }.
% 20.69/21.08 (73930) {G0,W27,D2,L3,V12,M3} { ! eqangle( X, Y, Z, T, V2, V3, V4, V5 ), !
% 20.69/21.08 eqangle( V2, V3, V4, V5, U, W, V0, V1 ), eqangle( X, Y, Z, T, U, W, V0,
% 20.69/21.08 V1 ) }.
% 20.69/21.08 (73931) {G0,W10,D2,L2,V4,M2} { ! cong( X, Y, Z, T ), cong( X, Y, T, Z )
% 20.69/21.08 }.
% 20.69/21.08 (73932) {G0,W10,D2,L2,V4,M2} { ! cong( X, Y, Z, T ), cong( Z, T, X, Y )
% 20.69/21.08 }.
% 20.69/21.08 (73933) {G0,W15,D2,L3,V6,M3} { ! cong( X, Y, U, W ), ! cong( U, W, Z, T )
% 20.69/21.08 , cong( X, Y, Z, T ) }.
% 20.69/21.08 (73934) {G0,W18,D2,L2,V8,M2} { ! eqratio( X, Y, Z, T, U, W, V0, V1 ),
% 20.69/21.08 eqratio( Y, X, Z, T, U, W, V0, V1 ) }.
% 20.69/21.08 (73935) {G0,W18,D2,L2,V8,M2} { ! eqratio( X, Y, Z, T, U, W, V0, V1 ),
% 20.69/21.08 eqratio( Z, T, X, Y, V0, V1, U, W ) }.
% 20.69/21.08 (73936) {G0,W18,D2,L2,V8,M2} { ! eqratio( X, Y, Z, T, U, W, V0, V1 ),
% 20.69/21.08 eqratio( U, W, V0, V1, X, Y, Z, T ) }.
% 20.69/21.08 (73937) {G0,W18,D2,L2,V8,M2} { ! eqratio( X, Y, Z, T, U, W, V0, V1 ),
% 20.69/21.08 eqratio( X, Y, U, W, Z, T, V0, V1 ) }.
% 20.69/21.08 (73938) {G0,W27,D2,L3,V12,M3} { ! eqratio( X, Y, Z, T, V2, V3, V4, V5 ), !
% 20.69/21.08 eqratio( V2, V3, V4, V5, U, W, V0, V1 ), eqratio( X, Y, Z, T, U, W, V0,
% 20.69/21.08 V1 ) }.
% 20.69/21.08 (73939) {G0,W14,D2,L2,V6,M2} { ! simtri( X, Z, Y, T, W, U ), simtri( X, Y
% 20.69/21.08 , Z, T, U, W ) }.
% 20.69/21.08 (73940) {G0,W14,D2,L2,V6,M2} { ! simtri( Y, X, Z, U, T, W ), simtri( X, Y
% 20.69/21.08 , Z, T, U, W ) }.
% 20.69/21.08 (73941) {G0,W14,D2,L2,V6,M2} { ! simtri( T, U, W, X, Y, Z ), simtri( X, Y
% 20.69/21.08 , Z, T, U, W ) }.
% 20.69/21.08 (73942) {G0,W21,D2,L3,V9,M3} { ! simtri( X, Y, Z, V0, V1, V2 ), ! simtri(
% 20.69/21.08 V0, V1, V2, T, U, W ), simtri( X, Y, Z, T, U, W ) }.
% 20.69/21.08 (73943) {G0,W14,D2,L2,V6,M2} { ! contri( X, Z, Y, T, W, U ), contri( X, Y
% 20.69/21.08 , Z, T, U, W ) }.
% 20.69/21.08 (73944) {G0,W14,D2,L2,V6,M2} { ! contri( Y, X, Z, U, T, W ), contri( X, Y
% 20.69/21.08 , Z, T, U, W ) }.
% 20.69/21.08 (73945) {G0,W14,D2,L2,V6,M2} { ! contri( T, U, W, X, Y, Z ), contri( X, Y
% 20.69/21.08 , Z, T, U, W ) }.
% 20.69/21.08 (73946) {G0,W21,D2,L3,V9,M3} { ! contri( X, Y, Z, V0, V1, V2 ), ! contri(
% 20.69/21.08 V0, V1, V2, T, U, W ), contri( X, Y, Z, T, U, W ) }.
% 20.69/21.08 (73947) {G0,W14,D2,L2,V6,M2} { ! eqangle( X, Y, U, W, Z, T, U, W ), para(
% 20.69/21.08 X, Y, Z, T ) }.
% 20.69/21.08 (73948) {G0,W14,D2,L2,V6,M2} { ! para( X, Y, Z, T ), eqangle( X, Y, U, W,
% 20.69/21.08 Z, T, U, W ) }.
% 20.69/21.08 (73949) {G0,W14,D2,L2,V4,M2} { ! cyclic( X, Y, Z, T ), eqangle( Z, X, Z, Y
% 20.69/21.08 , T, X, T, Y ) }.
% 20.69/21.08 (73950) {G0,W18,D2,L3,V4,M3} { ! eqangle( Z, X, Z, Y, T, X, T, Y ), coll(
% 20.69/21.08 Z, T, X ), cyclic( X, Y, Z, T ) }.
% 20.69/21.08 (73951) {G0,W18,D2,L3,V4,M3} { ! eqangle( Z, X, Z, Y, T, X, T, Y ), ! coll
% 20.69/21.08 ( Z, T, Y ), cyclic( X, Y, Z, T ) }.
% 20.69/21.08 (73952) {G0,W29,D2,L5,V6,M5} { ! cyclic( X, Y, U, Z ), ! cyclic( X, Y, U,
% 20.69/21.08 T ), ! cyclic( X, Y, U, W ), ! eqangle( U, X, U, Y, W, Z, W, T ), cong( X
% 20.69/21.08 , Y, Z, T ) }.
% 20.69/21.08 (73953) {G0,W13,D2,L3,V5,M3} { ! midp( Z, U, X ), ! midp( T, U, Y ), para
% 20.69/21.08 ( Z, T, X, Y ) }.
% 20.69/21.08 (73954) {G0,W17,D2,L4,V5,M4} { ! midp( U, X, T ), ! para( U, Z, T, Y ), !
% 20.69/21.08 coll( Z, X, Y ), midp( Z, X, Y ) }.
% 20.69/21.08 (73955) {G0,W14,D2,L2,V3,M2} { ! cong( Z, X, Z, Y ), eqangle( Z, X, X, Y,
% 20.69/21.08 X, Y, Z, Y ) }.
% 20.69/21.08 (73956) {G0,W18,D2,L3,V3,M3} { ! eqangle( Z, X, X, Y, X, Y, Z, Y ), coll(
% 20.69/21.08 Z, X, Y ), cong( Z, X, Z, Y ) }.
% 20.69/21.08 (73957) {G0,W19,D2,L3,V5,M3} { ! circle( U, X, Y, Z ), ! perp( U, X, X, T
% 20.69/21.08 ), eqangle( X, T, X, Y, Z, X, Z, Y ) }.
% 20.69/21.08 (73958) {G0,W19,D2,L3,V5,M3} { ! circle( Y, X, T, U ), ! eqangle( X, Z, X
% 20.69/21.08 , T, U, X, U, T ), perp( Y, X, X, Z ) }.
% 20.69/21.08 (73959) {G0,W18,D2,L3,V5,M3} { ! circle( T, X, Y, Z ), ! midp( U, Y, Z ),
% 20.69/21.08 eqangle( X, Y, X, Z, T, Y, T, U ) }.
% 20.69/21.08 (73960) {G0,W22,D2,L4,V5,M4} { ! circle( U, T, X, Y ), ! coll( Z, X, Y ),
% 20.69/21.08 ! eqangle( T, X, T, Y, U, X, U, Z ), midp( Z, X, Y ) }.
% 20.69/21.08 (73961) {G0,W14,D2,L3,V4,M3} { ! perp( X, Y, Y, T ), ! midp( Z, X, T ),
% 20.69/21.08 cong( X, Z, Y, Z ) }.
% 20.69/21.08 (73962) {G0,W14,D2,L3,V4,M3} { ! circle( T, X, Y, Z ), ! coll( T, X, Z ),
% 20.69/21.08 perp( X, Y, Y, Z ) }.
% 20.69/21.08 (73963) {G0,W19,D2,L3,V4,M3} { ! cyclic( X, Y, Z, T ), ! para( X, Y, Z, T
% 20.69/21.08 ), eqangle( X, T, Z, T, Z, T, Z, Y ) }.
% 20.69/21.08 (73964) {G0,W14,D2,L3,V4,M3} { ! midp( T, X, Y ), ! perp( Z, T, X, Y ),
% 20.69/21.08 cong( Z, X, Z, Y ) }.
% 20.69/21.08 (73965) {G0,W15,D2,L3,V4,M3} { ! cong( X, Z, Y, Z ), ! cong( X, T, Y, T )
% 20.69/21.08 , perp( X, Y, Z, T ) }.
% 20.69/21.08 (73966) {G0,W20,D2,L4,V4,M4} { ! cong( X, Y, T, Y ), ! cong( X, Z, T, Z )
% 20.69/21.08 , ! cyclic( X, T, Y, Z ), perp( Y, X, X, Z ) }.
% 20.69/21.08 (73967) {G0,W29,D2,L4,V6,M4} { ! eqangle( X, Y, Y, Z, T, U, U, W ), !
% 20.69/21.08 eqangle( X, Z, Y, Z, T, W, U, W ), coll( X, Y, Z ), simtri( X, Y, Z, T, U
% 20.69/21.08 , W ) }.
% 20.69/21.08 (73968) {G0,W16,D2,L2,V6,M2} { ! simtri( X, Y, Z, T, U, W ), eqratio( X, Y
% 20.69/21.08 , X, Z, T, U, T, W ) }.
% 20.69/21.08 (73969) {G0,W16,D2,L2,V6,M2} { ! simtri( X, Y, Z, T, U, W ), eqangle( X, Y
% 20.69/21.08 , Y, Z, T, U, U, W ) }.
% 20.69/21.08 (73970) {G0,W19,D2,L3,V6,M3} { ! simtri( X, Y, Z, T, U, W ), ! cong( X, Y
% 20.69/21.08 , T, U ), contri( X, Y, Z, T, U, W ) }.
% 20.69/21.08 (73971) {G0,W12,D2,L2,V6,M2} { ! contri( X, Y, U, Z, T, W ), cong( X, Y, Z
% 20.69/21.08 , T ) }.
% 20.69/21.08 (73972) {G0,W13,D2,L3,V5,M3} { ! midp( U, X, Y ), ! midp( U, Z, T ), para
% 20.69/21.08 ( X, Z, Y, T ) }.
% 20.69/21.08 (73973) {G0,W18,D2,L4,V5,M4} { ! midp( Z, T, U ), ! para( T, X, U, Y ), !
% 20.69/21.08 para( T, Y, U, X ), midp( Z, X, Y ) }.
% 20.69/21.08 (73974) {G0,W22,D2,L4,V5,M4} { ! para( X, Y, Z, T ), ! coll( U, X, Z ), !
% 20.69/21.08 coll( U, Y, T ), eqratio( U, X, X, Z, U, Y, Y, T ) }.
% 20.69/21.08 (73975) {G0,W9,D2,L2,V3,M2} { ! para( X, Y, X, Z ), coll( X, Y, Z ) }.
% 20.69/21.08 (73976) {G0,W13,D2,L3,V3,M3} { ! cong( X, Y, X, Z ), ! coll( X, Y, Z ),
% 20.69/21.08 midp( X, Y, Z ) }.
% 20.69/21.08 (73977) {G0,W9,D2,L2,V3,M2} { ! midp( X, Y, Z ), cong( X, Y, X, Z ) }.
% 20.69/21.08 (73978) {G0,W8,D2,L2,V3,M2} { ! midp( X, Y, Z ), coll( X, Y, Z ) }.
% 20.69/21.08 (73979) {G0,W17,D2,L3,V6,M3} { ! midp( U, X, Y ), ! midp( W, Z, T ),
% 20.69/21.08 eqratio( U, X, X, Y, W, Z, Z, T ) }.
% 20.69/21.08 (73980) {G0,W19,D2,L3,V4,M3} { ! eqangle( X, Y, Z, T, Z, T, X, Y ), para(
% 20.69/21.08 X, Y, Z, T ), perp( X, Y, Z, T ) }.
% 20.69/21.08 (73981) {G0,W19,D2,L3,V4,M3} { ! eqangle( X, Y, Z, T, Z, T, X, Y ), perp(
% 20.69/21.08 X, Y, Z, T ), para( X, Y, Z, T ) }.
% 20.69/21.08 (73982) {G0,W19,D2,L3,V8,M3} { ! eqangle( X, Y, Z, T, U, W, V0, V1 ), !
% 20.69/21.08 para( U, W, V0, V1 ), para( X, Y, Z, T ) }.
% 20.69/21.08 (73983) {G0,W19,D2,L3,V8,M3} { ! eqangle( X, Y, Z, T, U, W, V0, V1 ), !
% 20.69/21.08 perp( U, W, V0, V1 ), perp( X, Y, Z, T ) }.
% 20.69/21.08 (73984) {G0,W19,D2,L3,V8,M3} { ! eqratio( X, Y, Z, T, U, W, V0, V1 ), !
% 20.69/21.08 cong( U, W, V0, V1 ), cong( X, Y, Z, T ) }.
% 20.69/21.08 (73985) {G0,W22,D3,L3,V6,M3} { ! perp( Z, Y, Y, X ), ! eqangle( T, Z, Y, Z
% 20.69/21.08 , Y, Z, X, Z ), coll( skol1( U, W, Z, T ), Z, T ) }.
% 20.69/21.08 (73986) {G0,W22,D3,L3,V4,M3} { ! perp( Z, Y, Y, X ), ! eqangle( T, Z, Y, Z
% 20.69/21.08 , Y, Z, X, Z ), coll( skol1( X, Y, Z, T ), X, Y ) }.
% 20.69/21.08 (73987) {G0,W22,D3,L3,V6,M3} { ! cong( Z, X, Z, Y ), ! eqangle( X, Z, Z, T
% 20.69/21.08 , Z, T, Z, Y ), coll( skol2( U, W, Z, T ), Z, T ) }.
% 20.69/21.08 (73988) {G0,W22,D3,L3,V4,M3} { ! cong( Z, X, Z, Y ), ! eqangle( X, Z, Z, T
% 20.69/21.08 , Z, T, Z, Y ), coll( Y, X, skol2( X, Y, Z, T ) ) }.
% 20.69/21.08 (73989) {G0,W22,D3,L3,V6,M3} { ! perp( Z, T, X, Y ), ! eqangle( X, Z, Z, T
% 20.69/21.08 , Z, T, Z, Y ), coll( skol3( U, W, Z, T ), Z, T ) }.
% 20.69/21.08 (73990) {G0,W22,D3,L3,V4,M3} { ! perp( Z, T, X, Y ), ! eqangle( X, Z, Z, T
% 20.69/21.08 , Z, T, Z, Y ), coll( Y, X, skol3( X, Y, Z, T ) ) }.
% 20.69/21.08 (73991) {G0,W18,D3,L3,V6,M3} { ! perp( Z, T, X, Y ), ! cong( Z, X, Z, Y )
% 20.69/21.08 , coll( skol4( U, W, Z, T ), Z, T ) }.
% 20.69/21.08 (73992) {G0,W18,D3,L3,V4,M3} { ! perp( Z, T, X, Y ), ! cong( Z, X, Z, Y )
% 20.69/21.08 , coll( Y, X, skol4( X, Y, Z, T ) ) }.
% 20.69/21.08 (73993) {G0,W22,D3,L3,V6,M3} { ! eqangle( X, Z, Y, Z, X, T, Y, U ), coll(
% 20.69/21.08 X, Y, Z ), cyclic( T, Y, Z, skol5( W, Y, Z, T ) ) }.
% 20.69/21.08 (73994) {G0,W30,D3,L3,V5,M3} { ! eqangle( X, Z, Y, Z, X, T, Y, U ), coll(
% 20.69/21.08 X, Y, Z ), eqangle( X, Z, Y, Z, X, skol5( X, Y, Z, T ), Y, skol5( X, Y, Z
% 20.69/21.08 , T ) ) }.
% 20.69/21.08 (73995) {G0,W18,D3,L3,V10,M3} { ! midp( U, X, Y ), ! midp( W, Z, T ), midp
% 20.69/21.08 ( skol6( X, V0, V1, T, V2, V3 ), X, T ) }.
% 20.69/21.08 (73996) {G0,W19,D3,L3,V8,M3} { ! midp( U, X, Y ), ! midp( W, Z, T ), para
% 20.69/21.08 ( skol6( X, V0, Z, T, V1, W ), W, X, Z ) }.
% 20.69/21.08 (73997) {G0,W19,D3,L3,V6,M3} { ! midp( U, X, Y ), ! midp( W, Z, T ), para
% 20.69/21.08 ( skol6( X, Y, Z, T, U, W ), U, Y, T ) }.
% 20.69/21.08 (73998) {G0,W22,D3,L5,V7,M5} { ! midp( Z, X, Y ), ! midp( W, T, U ), !
% 20.69/21.08 coll( T, X, Y ), ! coll( U, X, Y ), midp( skol7( X, V0 ), X, V0 ) }.
% 20.69/21.08 (73999) {G0,W26,D3,L5,V8,M5} { ! midp( T, X, U ), ! para( X, W, Z, T ), !
% 20.69/21.08 para( X, W, U, Y ), ! coll( W, Y, Z ), coll( skol8( V0, V1, Z, T ), T, Z
% 20.69/21.08 ) }.
% 20.69/21.08 (74000) {G0,W26,D3,L5,V6,M5} { ! midp( T, X, U ), ! para( X, W, Z, T ), !
% 20.69/21.08 para( X, W, U, Y ), ! coll( W, Y, Z ), coll( skol8( X, Y, Z, T ), X, Y )
% 20.69/21.08 }.
% 20.69/21.08 (74001) {G0,W19,D3,L3,V7,M3} { ! cong( T, Z, T, U ), ! perp( X, Y, Y, T )
% 20.69/21.08 , cong( T, Z, T, skol9( W, V0, Z, T ) ) }.
% 20.69/21.08 (74002) {G0,W19,D3,L3,V6,M3} { ! cong( T, Z, T, U ), ! perp( X, Y, Y, T )
% 20.69/21.08 , cong( Y, Z, Y, skol9( W, Y, Z, T ) ) }.
% 20.69/21.08 (74003) {G0,W19,D3,L3,V5,M3} { ! cong( T, Z, T, U ), ! perp( X, Y, Y, T )
% 20.69/21.08 , para( skol9( X, Y, Z, T ), Z, X, Y ) }.
% 20.69/21.08 (74004) {G0,W17,D3,L3,V5,M3} { ! perp( X, T, Y, Z ), ! perp( Y, T, X, Z )
% 20.69/21.08 , coll( skol10( U, Y, Z ), Z, Y ) }.
% 20.69/21.08 (74005) {G0,W18,D3,L3,V4,M3} { ! perp( X, T, Y, Z ), ! perp( Y, T, X, Z )
% 20.69/21.08 , perp( X, skol10( X, Y, Z ), Z, Y ) }.
% 20.69/21.08 (74006) {G0,W14,D2,L3,V4,M3} { ! perp( X, T, Y, Z ), ! perp( Y, T, X, Z )
% 20.69/21.08 , alpha1( X, Y, Z ) }.
% 20.69/21.08 (74007) {G0,W11,D3,L2,V4,M2} { ! alpha1( X, Y, Z ), coll( skol11( X, T, Z
% 20.69/21.08 ), Z, X ) }.
% 20.69/21.08 (74008) {G0,W12,D3,L2,V3,M2} { ! alpha1( X, Y, Z ), perp( Y, skol11( X, Y
% 20.69/21.08 , Z ), Z, X ) }.
% 20.69/21.08 (74009) {G0,W13,D2,L3,V4,M3} { ! coll( T, Z, X ), ! perp( Y, T, Z, X ),
% 20.69/21.08 alpha1( X, Y, Z ) }.
% 20.69/21.08 (74010) {G0,W12,D3,L2,V4,M2} { ! circle( Y, X, Z, T ), perp( skol12( X, Y
% 20.69/21.08 ), X, X, Y ) }.
% 20.69/21.08 (74011) {G0,W28,D3,L5,V8,M5} { ! circle( W, X, Y, Z ), ! cong( W, X, W, T
% 20.69/21.08 ), ! cong( U, X, U, Y ), W = U, alpha2( X, Z, U, skol13( X, V0, Z, V1, U
% 20.69/21.08 ) ) }.
% 20.69/21.08 (74012) {G0,W26,D3,L5,V8,M5} { ! circle( W, X, Y, Z ), ! cong( W, X, W, T
% 20.69/21.08 ), ! cong( U, X, U, Y ), W = U, coll( skol21( V0, Y, T, V1 ), Y, T ) }.
% 20.69/21.08 (74013) {G0,W27,D3,L5,V6,M5} { ! circle( W, X, Y, Z ), ! cong( W, X, W, T
% 20.69/21.08 ), ! cong( U, X, U, Y ), W = U, cong( skol21( X, Y, T, U ), U, U, X )
% 20.69/21.08 }.
% 20.69/21.08 (74014) {G0,W9,D2,L2,V4,M2} { ! alpha2( X, Y, Z, T ), coll( T, X, Y ) }.
% 20.69/21.08 (74015) {G0,W10,D2,L2,V4,M2} { ! alpha2( X, Y, Z, T ), cong( T, Z, Z, X )
% 20.69/21.08 }.
% 20.69/21.08 (74016) {G0,W14,D2,L3,V4,M3} { ! coll( T, X, Y ), ! cong( T, Z, Z, X ),
% 20.69/21.08 alpha2( X, Y, Z, T ) }.
% 20.69/21.08 (74017) {G0,W22,D3,L4,V5,M4} { ! cyclic( X, Y, Z, T ), ! para( X, Y, Z, T
% 20.69/21.08 ), ! midp( U, X, Y ), circle( skol14( X, Y, Z ), X, Y, Z ) }.
% 20.69/21.08 (74018) {G0,W18,D3,L3,V4,M3} { ! perp( X, Z, Z, Y ), ! cyclic( X, Y, Z, T
% 20.69/21.08 ), circle( skol15( X, Y, Z ), X, Y, Z ) }.
% 20.69/21.08 (74019) {G0,W16,D3,L3,V6,M3} { ! perp( X, U, U, T ), ! coll( T, Y, Z ),
% 20.69/21.08 coll( skol16( W, Y, Z ), Y, Z ) }.
% 20.69/21.08 (74020) {G0,W17,D3,L3,V5,M3} { ! perp( X, U, U, T ), ! coll( T, Y, Z ),
% 20.69/21.08 perp( skol16( X, Y, Z ), X, Y, Z ) }.
% 20.69/21.08 (74021) {G0,W20,D3,L4,V5,M4} { ! perp( X, Z, X, Y ), ! perp( Y, X, Y, T )
% 20.69/21.08 , ! midp( U, Z, T ), midp( skol17( X, Y ), X, Y ) }.
% 20.69/21.08 (74022) {G0,W16,D3,L3,V3,M3} { ! cong( Y, X, Y, Z ), ! perp( X, Y, Y, Z )
% 20.69/21.08 , coll( X, Y, skol18( X, Y ) ) }.
% 20.69/21.08 (74023) {G0,W17,D3,L3,V3,M3} { ! cong( Y, X, Y, Z ), ! perp( X, Y, Y, Z )
% 20.69/21.08 , cong( Y, X, Y, skol18( X, Y ) ) }.
% 20.69/21.08 (74024) {G0,W25,D3,L5,V8,M5} { ! para( U, W, X, Y ), ! coll( Z, U, X ), !
% 20.69/21.08 coll( Z, W, Y ), ! coll( T, U, W ), coll( Z, T, skol19( V0, V1, Z, T ) )
% 20.69/21.08 }.
% 20.69/21.08 (74025) {G0,W25,D3,L5,V6,M5} { ! para( U, W, X, Y ), ! coll( Z, U, X ), !
% 20.69/21.08 coll( Z, W, Y ), ! coll( T, U, W ), coll( skol19( X, Y, Z, T ), X, Y )
% 20.69/21.08 }.
% 20.69/21.08 (74026) {G0,W5,D2,L1,V0,M1} { circle( skol28, skol25, skol26, skol27 ) }.
% 20.69/21.08 (74027) {G0,W5,D2,L1,V0,M1} { circle( skol28, skol25, skol20, skol29 ) }.
% 20.69/21.08 (74028) {G0,W5,D2,L1,V0,M1} { perp( skol30, skol20, skol25, skol27 ) }.
% 20.69/21.08 (74029) {G0,W4,D2,L1,V0,M1} { coll( skol30, skol25, skol27 ) }.
% 20.69/21.08 (74030) {G0,W5,D2,L1,V0,M1} { perp( skol31, skol20, skol25, skol26 ) }.
% 20.69/21.08 (74031) {G0,W4,D2,L1,V0,M1} { coll( skol31, skol25, skol26 ) }.
% 20.69/21.08 (74032) {G0,W5,D2,L1,V0,M1} { circle( skol28, skol25, skol32, skol33 ) }.
% 20.69/21.08 (74033) {G0,W5,D2,L1,V0,M1} { perp( skol22, skol32, skol25, skol27 ) }.
% 20.69/21.08 (74034) {G0,W4,D2,L1,V0,M1} { coll( skol22, skol25, skol27 ) }.
% 20.69/21.08 (74035) {G0,W5,D2,L1,V0,M1} { perp( skol23, skol32, skol25, skol26 ) }.
% 20.69/21.08 (74036) {G0,W4,D2,L1,V0,M1} { coll( skol23, skol25, skol26 ) }.
% 20.69/21.08 (74037) {G0,W5,D2,L1,V0,M1} { para( skol30, skol31, skol24, skol32 ) }.
% 20.69/21.08 (74038) {G0,W5,D2,L1,V0,M1} { circle( skol28, skol25, skol24, skol34 ) }.
% 20.69/21.08 (74039) {G0,W5,D2,L1,V0,M1} { ! para( skol24, skol20, skol23, skol22 ) }.
% 20.69/21.08
% 20.69/21.08
% 20.69/21.08 Total Proof:
% 20.69/21.08
% 20.69/21.08 subsumption: (0) {G0,W8,D2,L2,V3,M2} I { ! coll( X, Y, Z ), coll( X, Z, Y )
% 20.69/21.08 }.
% 20.69/21.08 parent0: (73909) {G0,W8,D2,L2,V3,M2} { ! coll( X, Y, Z ), coll( X, Z, Y )
% 20.69/21.08 }.
% 20.69/21.08 substitution0:
% 20.69/21.08 X := X
% 20.69/21.08 Y := Y
% 20.69/21.08 Z := Z
% 20.69/21.08 end
% 20.69/21.08 permutation0:
% 20.69/21.08 0 ==> 0
% 20.69/21.08 1 ==> 1
% 20.69/21.08 end
% 20.69/21.08
% 20.69/21.08 subsumption: (2) {G0,W12,D2,L3,V4,M3} I { ! coll( X, T, Y ), ! coll( X, T,
% 20.69/21.08 Z ), coll( Y, Z, X ) }.
% 20.69/21.08 parent0: (73911) {G0,W12,D2,L3,V4,M3} { ! coll( X, T, Y ), ! coll( X, T, Z
% 20.69/21.08 ), coll( Y, Z, X ) }.
% 20.69/21.08 substitution0:
% 20.69/21.08 X := X
% 20.69/21.08 Y := Y
% 20.69/21.08 Z := Z
% 20.69/21.08 T := T
% 20.69/21.08 end
% 20.69/21.08 permutation0:
% 20.69/21.08 0 ==> 0
% 20.69/21.08 1 ==> 1
% 20.69/21.08 2 ==> 2
% 20.69/21.08 end
% 20.69/21.08
% 20.69/21.08 subsumption: (3) {G0,W10,D2,L2,V4,M2} I { ! para( X, Y, Z, T ), para( X, Y
% 20.69/21.08 , T, Z ) }.
% 20.69/21.08 parent0: (73912) {G0,W10,D2,L2,V4,M2} { ! para( X, Y, Z, T ), para( X, Y,
% 20.69/21.08 T, Z ) }.
% 20.69/21.08 substitution0:
% 20.69/21.08 X := X
% 20.69/21.08 Y := Y
% 20.69/21.08 Z := Z
% 20.69/21.08 T := T
% 20.69/21.08 end
% 20.69/21.08 permutation0:
% 20.69/21.08 0 ==> 0
% 20.69/21.08 1 ==> 1
% 20.69/21.08 end
% 20.69/21.08
% 20.69/21.08 subsumption: (5) {G0,W15,D2,L3,V6,M3} I { ! para( X, Y, U, W ), ! para( U,
% 20.69/21.08 W, Z, T ), para( X, Y, Z, T ) }.
% 20.69/21.08 parent0: (73914) {G0,W15,D2,L3,V6,M3} { ! para( X, Y, U, W ), ! para( U, W
% 20.69/21.08 , Z, T ), para( X, Y, Z, T ) }.
% 20.69/21.08 substitution0:
% 20.69/21.08 X := X
% 20.69/21.08 Y := Y
% 20.69/21.08 Z := Z
% 20.69/21.08 T := T
% 20.69/21.08 U := U
% 20.69/21.08 W := W
% 20.69/21.08 end
% 20.69/21.08 permutation0:
% 20.69/21.08 0 ==> 0
% 20.69/21.08 1 ==> 1
% 20.69/21.08 2 ==> 2
% 20.69/21.08 end
% 20.69/21.08
% 20.69/21.08 subsumption: (6) {G0,W10,D2,L2,V4,M2} I { ! perp( X, Y, Z, T ), perp( X, Y
% 20.69/21.08 , T, Z ) }.
% 20.69/21.08 parent0: (73915) {G0,W10,D2,L2,V4,M2} { ! perp( X, Y, Z, T ), perp( X, Y,
% 20.69/21.08 T, Z ) }.
% 20.69/21.08 substitution0:
% 20.69/21.08 X := X
% 20.69/21.08 Y := Y
% 20.69/21.08 Z := Z
% 20.69/21.08 T := T
% 20.69/21.08 end
% 20.69/21.08 permutation0:
% 20.69/21.08 0 ==> 0
% 20.69/21.08 1 ==> 1
% 20.69/21.08 end
% 20.69/21.08
% 20.69/21.08 subsumption: (7) {G0,W10,D2,L2,V4,M2} I { ! perp( X, Y, Z, T ), perp( Z, T
% 20.69/21.08 , X, Y ) }.
% 20.69/21.08 parent0: (73916) {G0,W10,D2,L2,V4,M2} { ! perp( X, Y, Z, T ), perp( Z, T,
% 20.69/21.08 X, Y ) }.
% 20.69/21.08 substitution0:
% 20.69/21.08 X := X
% 20.69/21.08 Y := Y
% 20.69/21.08 Z := Z
% 20.69/21.08 T := T
% 20.69/21.08 end
% 20.69/21.08 permutation0:
% 20.69/21.08 0 ==> 0
% 20.69/21.08 1 ==> 1
% 20.69/21.08 end
% 20.69/21.08
% 20.69/21.08 subsumption: (8) {G0,W15,D2,L3,V6,M3} I { ! perp( X, Y, U, W ), ! perp( U,
% 20.69/21.08 W, Z, T ), para( X, Y, Z, T ) }.
% 20.69/21.08 parent0: (73917) {G0,W15,D2,L3,V6,M3} { ! perp( X, Y, U, W ), ! perp( U, W
% 20.69/21.08 , Z, T ), para( X, Y, Z, T ) }.
% 20.69/21.08 substitution0:
% 20.69/21.08 X := X
% 20.69/21.08 Y := Y
% 20.69/21.08 Z := Z
% 20.69/21.08 T := T
% 20.69/21.08 U := U
% 20.69/21.08 W := W
% 20.69/21.08 end
% 20.69/21.08 permutation0:
% 20.69/21.08 0 ==> 0
% 20.69/21.08 1 ==> 1
% 20.69/21.08 2 ==> 2
% 20.69/21.08 end
% 20.69/21.08
% 20.69/21.08 subsumption: (13) {G0,W10,D2,L2,V4,M2} I { ! cyclic( X, Y, Z, T ), cyclic(
% 20.69/21.08 X, Y, T, Z ) }.
% 20.69/21.08 parent0: (73922) {G0,W10,D2,L2,V4,M2} { ! cyclic( X, Y, Z, T ), cyclic( X
% 20.69/21.08 , Y, T, Z ) }.
% 20.69/21.08 substitution0:
% 20.69/21.08 X := X
% 20.69/21.08 Y := Y
% 20.69/21.08 Z := Z
% 20.69/21.08 T := T
% 20.69/21.08 end
% 20.69/21.08 permutation0:
% 20.69/21.08 0 ==> 0
% 20.69/21.08 1 ==> 1
% 20.69/21.08 end
% 20.69/21.08
% 20.69/21.08 subsumption: (14) {G0,W10,D2,L2,V4,M2} I { ! cyclic( X, Y, Z, T ), cyclic(
% 20.69/21.08 X, Z, Y, T ) }.
% 20.69/21.08 parent0: (73923) {G0,W10,D2,L2,V4,M2} { ! cyclic( X, Y, Z, T ), cyclic( X
% 20.69/21.08 , Z, Y, T ) }.
% 20.69/21.08 substitution0:
% 20.69/21.08 X := X
% 20.69/21.08 Y := Y
% 20.69/21.08 Z := Z
% 20.69/21.08 T := T
% 20.69/21.08 end
% 20.69/21.08 permutation0:
% 20.69/21.08 0 ==> 0
% 20.69/21.08 1 ==> 1
% 20.69/21.08 end
% 20.69/21.08
% 20.69/21.08 subsumption: (15) {G0,W10,D2,L2,V4,M2} I { ! cyclic( X, Y, Z, T ), cyclic(
% 20.69/21.08 Y, X, Z, T ) }.
% 20.69/21.08 parent0: (73924) {G0,W10,D2,L2,V4,M2} { ! cyclic( X, Y, Z, T ), cyclic( Y
% 20.69/21.08 , X, Z, T ) }.
% 20.69/21.08 substitution0:
% 20.69/21.08 X := X
% 20.69/21.08 Y := Y
% 20.69/21.08 Z := Z
% 20.69/21.08 T := T
% 20.69/21.08 end
% 20.69/21.08 permutation0:
% 20.69/21.08 0 ==> 0
% 20.69/21.08 1 ==> 1
% 20.69/21.08 end
% 20.69/21.08
% 20.69/21.08 subsumption: (16) {G0,W15,D2,L3,V5,M3} I { ! cyclic( U, X, Y, Z ), ! cyclic
% 20.69/21.08 ( U, X, Y, T ), cyclic( X, Y, Z, T ) }.
% 20.69/21.08 parent0: (73925) {G0,W15,D2,L3,V5,M3} { ! cyclic( U, X, Y, Z ), ! cyclic(
% 20.69/21.08 U, X, Y, T ), cyclic( X, Y, Z, T ) }.
% 20.69/21.08 substitution0:
% 20.69/21.08 X := X
% 20.69/21.08 Y := Y
% 20.69/21.08 Z := Z
% 20.69/21.08 T := T
% 20.69/21.08 U := U
% 20.69/21.08 end
% 20.69/21.08 permutation0:
% 20.69/21.08 0 ==> 0
% 20.69/21.08 1 ==> 1
% 20.69/21.08 2 ==> 2
% 20.69/21.08 end
% 20.69/21.08
% 20.69/21.08 subsumption: (18) {G0,W18,D2,L2,V8,M2} I { ! eqangle( X, Y, Z, T, U, W, V0
% 20.69/21.08 , V1 ), eqangle( Z, T, X, Y, V0, V1, U, W ) }.
% 20.69/21.08 parent0: (73927) {G0,W18,D2,L2,V8,M2} { ! eqangle( X, Y, Z, T, U, W, V0,
% 20.69/21.08 V1 ), eqangle( Z, T, X, Y, V0, V1, U, W ) }.
% 20.69/21.08 substitution0:
% 20.69/21.08 X := X
% 20.69/21.08 Y := Y
% 20.69/21.08 Z := Z
% 20.69/21.08 T := T
% 20.69/21.08 U := U
% 20.69/21.08 W := W
% 20.69/21.08 V0 := V0
% 20.69/21.08 V1 := V1
% 20.69/21.08 end
% 20.69/21.08 permutation0:
% 20.69/21.08 0 ==> 0
% 20.69/21.08 1 ==> 1
% 20.69/21.08 end
% 20.69/21.08
% 20.69/21.08 subsumption: (39) {G0,W14,D2,L2,V6,M2} I { ! para( X, Y, Z, T ), eqangle( X
% 20.69/21.08 , Y, U, W, Z, T, U, W ) }.
% 20.69/21.08 parent0: (73948) {G0,W14,D2,L2,V6,M2} { ! para( X, Y, Z, T ), eqangle( X,
% 20.69/21.08 Y, U, W, Z, T, U, W ) }.
% 20.69/21.08 substitution0:
% 20.69/21.08 X := X
% 20.69/21.08 Y := Y
% 20.69/21.08 Z := Z
% 20.69/21.08 T := T
% 20.69/21.08 U := U
% 20.69/21.08 W := W
% 20.69/21.08 end
% 20.69/21.08 permutation0:
% 20.69/21.08 0 ==> 0
% 20.69/21.08 1 ==> 1
% 20.69/21.08 end
% 20.69/21.08
% 20.69/21.08 subsumption: (40) {G0,W14,D2,L2,V4,M2} I { ! cyclic( X, Y, Z, T ), eqangle
% 20.69/21.08 ( Z, X, Z, Y, T, X, T, Y ) }.
% 20.69/21.08 parent0: (73949) {G0,W14,D2,L2,V4,M2} { ! cyclic( X, Y, Z, T ), eqangle( Z
% 20.69/21.08 , X, Z, Y, T, X, T, Y ) }.
% 20.69/21.08 substitution0:
% 20.69/21.08 X := X
% 20.69/21.08 Y := Y
% 20.69/21.08 Z := Z
% 20.69/21.08 T := T
% 20.69/21.08 end
% 20.69/21.08 permutation0:
% 20.69/21.08 0 ==> 0
% 20.69/21.08 1 ==> 1
% 20.69/21.08 end
% 20.69/21.08
% 20.69/21.08 subsumption: (42) {G0,W18,D2,L3,V4,M3} I { ! eqangle( Z, X, Z, Y, T, X, T,
% 20.69/21.08 Y ), ! coll( Z, T, Y ), cyclic( X, Y, Z, T ) }.
% 20.69/21.08 parent0: (73951) {G0,W18,D2,L3,V4,M3} { ! eqangle( Z, X, Z, Y, T, X, T, Y
% 20.69/21.08 ), ! coll( Z, T, Y ), cyclic( X, Y, Z, T ) }.
% 20.69/21.08 substitution0:
% 20.69/21.08 X := X
% 20.69/21.08 Y := Y
% 20.69/21.08 Z := Z
% 20.69/21.08 T := T
% 20.69/21.08 end
% 20.69/21.08 permutation0:
% 20.69/21.08 0 ==> 0
% 20.69/21.08 1 ==> 1
% 20.69/21.08 2 ==> 2
% 20.69/21.08 end
% 20.69/21.08
% 20.69/21.08 subsumption: (43) {G0,W29,D2,L5,V6,M5} I { ! cyclic( X, Y, U, Z ), ! cyclic
% 20.69/21.08 ( X, Y, U, T ), ! cyclic( X, Y, U, W ), ! eqangle( U, X, U, Y, W, Z, W, T
% 20.69/21.08 ), cong( X, Y, Z, T ) }.
% 20.69/21.08 parent0: (73952) {G0,W29,D2,L5,V6,M5} { ! cyclic( X, Y, U, Z ), ! cyclic(
% 20.69/21.08 X, Y, U, T ), ! cyclic( X, Y, U, W ), ! eqangle( U, X, U, Y, W, Z, W, T )
% 20.69/21.08 , cong( X, Y, Z, T ) }.
% 20.69/21.08 substitution0:
% 20.69/21.08 X := X
% 20.69/21.08 Y := Y
% 20.69/21.08 Z := Z
% 20.69/21.08 T := T
% 20.69/21.08 U := U
% 20.69/21.08 W := W
% 20.69/21.08 end
% 20.69/21.08 permutation0:
% 20.69/21.08 0 ==> 0
% 20.69/21.08 1 ==> 1
% 20.69/21.08 2 ==> 2
% 20.69/21.08 3 ==> 3
% 20.69/21.08 4 ==> 4
% 20.69/21.08 end
% 20.69/21.08
% 20.69/21.08 subsumption: (56) {G0,W15,D2,L3,V4,M3} I { ! cong( X, Z, Y, Z ), ! cong( X
% 20.69/21.08 , T, Y, T ), perp( X, Y, Z, T ) }.
% 20.69/21.08 parent0: (73965) {G0,W15,D2,L3,V4,M3} { ! cong( X, Z, Y, Z ), ! cong( X, T
% 20.69/21.08 , Y, T ), perp( X, Y, Z, T ) }.
% 20.69/21.08 substitution0:
% 20.69/21.08 X := X
% 20.69/21.08 Y := Y
% 20.69/21.08 Z := Z
% 20.69/21.08 T := T
% 20.69/21.08 end
% 20.69/21.08 permutation0:
% 20.69/21.08 0 ==> 0
% 20.69/21.08 1 ==> 1
% 20.69/21.08 2 ==> 2
% 20.69/21.08 end
% 20.69/21.08
% 20.69/21.08 subsumption: (66) {G0,W9,D2,L2,V3,M2} I { ! para( X, Y, X, Z ), coll( X, Y
% 20.69/21.08 , Z ) }.
% 20.69/21.08 parent0: (73975) {G0,W9,D2,L2,V3,M2} { ! para( X, Y, X, Z ), coll( X, Y, Z
% 20.69/21.08 ) }.
% 20.69/21.08 substitution0:
% 20.69/21.08 X := X
% 20.69/21.08 Y := Y
% 20.69/21.08 Z := Z
% 20.69/21.08 end
% 20.69/21.08 permutation0:
% 20.69/21.08 0 ==> 0
% 20.69/21.08 1 ==> 1
% 20.69/21.08 end
% 20.69/21.08
% 20.69/21.08 subsumption: (125) {G0,W5,D2,L1,V0,M1} I { perp( skol23, skol32, skol25,
% 20.69/21.08 skol26 ) }.
% 20.69/21.08 parent0: (74035) {G0,W5,D2,L1,V0,M1} { perp( skol23, skol32, skol25,
% 20.69/21.08 skol26 ) }.
% 20.69/21.08 substitution0:
% 20.69/21.08 end
% 20.69/21.08 permutation0:
% 20.69/21.08 0 ==> 0
% 20.69/21.08 end
% 20.69/21.08
% 20.69/21.08 subsumption: (129) {G0,W5,D2,L1,V0,M1} I { ! para( skol24, skol20, skol23,
% 20.69/21.08 skol22 ) }.
% 20.69/21.08 parent0: (74039) {G0,W5,D2,L1,V0,M1} { ! para( skol24, skol20, skol23,
% 20.69/21.08 skol22 ) }.
% 20.69/21.08 substitution0:
% 20.69/21.08 end
% 20.69/21.08 permutation0:
% 20.69/21.08 0 ==> 0
% 20.69/21.08 end
% 20.69/21.08
% 20.69/21.08 resolution: (74305) {G1,W12,D2,L3,V4,M3} { coll( X, Z, Y ), ! coll( Z, T,
% 20.69/21.08 X ), ! coll( Z, T, Y ) }.
% 20.69/21.08 parent0[0]: (0) {G0,W8,D2,L2,V3,M2} I { ! coll( X, Y, Z ), coll( X, Z, Y )
% 20.69/21.08 }.
% 20.69/21.08 parent1[2]: (2) {G0,W12,D2,L3,V4,M3} I { ! coll( X, T, Y ), ! coll( X, T, Z
% 20.69/21.08 ), coll( Y, Z, X ) }.
% 20.69/21.08 substitution0:
% 20.69/21.08 X := X
% 20.69/21.08 Y := Y
% 20.69/21.08 Z := Z
% 20.69/21.08 end
% 20.69/21.08 substitution1:
% 20.69/21.08 X := Z
% 20.69/21.08 Y := X
% 20.69/21.08 Z := Y
% 20.69/21.08 T := T
% 20.69/21.08 end
% 20.69/21.08
% 20.69/21.08 subsumption: (206) {G1,W12,D2,L3,V4,M3} R(2,0) { ! coll( X, Y, Z ), ! coll
% 20.69/21.08 ( X, Y, T ), coll( Z, X, T ) }.
% 20.69/21.08 parent0: (74305) {G1,W12,D2,L3,V4,M3} { coll( X, Z, Y ), ! coll( Z, T, X )
% 20.69/21.08 , ! coll( Z, T, Y ) }.
% 20.69/21.08 substitution0:
% 20.69/21.08 X := Z
% 20.69/21.08 Y := T
% 20.69/21.08 Z := X
% 20.69/21.08 T := Y
% 20.69/21.08 end
% 20.69/21.08 permutation0:
% 20.69/21.08 0 ==> 2
% 20.69/21.08 1 ==> 0
% 20.69/21.08 2 ==> 1
% 20.69/21.08 end
% 20.69/21.08
% 20.69/21.08 factor: (74307) {G1,W8,D2,L2,V3,M2} { ! coll( X, Y, Z ), coll( Z, X, Z )
% 20.69/21.08 }.
% 20.69/21.08 parent0[0, 1]: (206) {G1,W12,D2,L3,V4,M3} R(2,0) { ! coll( X, Y, Z ), !
% 20.69/21.08 coll( X, Y, T ), coll( Z, X, T ) }.
% 20.69/21.08 substitution0:
% 20.69/21.08 X := X
% 20.69/21.08 Y := Y
% 20.69/21.08 Z := Z
% 20.69/21.08 T := Z
% 20.69/21.08 end
% 20.69/21.08
% 20.69/21.08 subsumption: (215) {G2,W8,D2,L2,V3,M2} F(206) { ! coll( X, Y, Z ), coll( Z
% 20.69/21.08 , X, Z ) }.
% 20.69/21.08 parent0: (74307) {G1,W8,D2,L2,V3,M2} { ! coll( X, Y, Z ), coll( Z, X, Z )
% 20.69/21.08 }.
% 20.69/21.08 substitution0:
% 20.69/21.08 X := X
% 20.69/21.08 Y := Y
% 20.69/21.08 Z := Z
% 20.69/21.08 end
% 20.69/21.08 permutation0:
% 20.69/21.08 0 ==> 0
% 20.69/21.08 1 ==> 1
% 20.69/21.08 end
% 20.69/21.08
% 20.69/21.08 resolution: (74308) {G1,W5,D2,L1,V0,M1} { ! para( skol24, skol20, skol22,
% 20.69/21.08 skol23 ) }.
% 20.69/21.08 parent0[0]: (129) {G0,W5,D2,L1,V0,M1} I { ! para( skol24, skol20, skol23,
% 20.69/21.08 skol22 ) }.
% 20.69/21.08 parent1[1]: (3) {G0,W10,D2,L2,V4,M2} I { ! para( X, Y, Z, T ), para( X, Y,
% 20.69/21.08 T, Z ) }.
% 20.69/21.08 substitution0:
% 20.69/21.08 end
% 20.69/21.08 substitution1:
% 20.69/21.08 X := skol24
% 20.69/21.08 Y := skol20
% 20.69/21.08 Z := skol22
% 20.69/21.08 T := skol23
% 20.69/21.08 end
% 20.69/21.08
% 20.69/21.08 subsumption: (229) {G1,W5,D2,L1,V0,M1} R(3,129) { ! para( skol24, skol20,
% 20.69/21.08 skol22, skol23 ) }.
% 20.69/21.08 parent0: (74308) {G1,W5,D2,L1,V0,M1} { ! para( skol24, skol20, skol22,
% 20.69/21.08 skol23 ) }.
% 20.69/21.08 substitution0:
% 20.69/21.08 end
% 20.69/21.08 permutation0:
% 20.69/21.08 0 ==> 0
% 20.69/21.08 end
% 20.69/21.08
% 20.69/21.08 resolution: (74309) {G1,W10,D2,L2,V2,M2} { ! para( skol24, skol20, X, Y )
% 20.69/21.08 , ! para( X, Y, skol22, skol23 ) }.
% 20.69/21.08 parent0[0]: (229) {G1,W5,D2,L1,V0,M1} R(3,129) { ! para( skol24, skol20,
% 20.69/21.08 skol22, skol23 ) }.
% 20.69/21.08 parent1[2]: (5) {G0,W15,D2,L3,V6,M3} I { ! para( X, Y, U, W ), ! para( U, W
% 20.69/21.08 , Z, T ), para( X, Y, Z, T ) }.
% 20.69/21.08 substitution0:
% 20.69/21.08 end
% 20.69/21.08 substitution1:
% 20.69/21.08 X := skol24
% 20.69/21.08 Y := skol20
% 20.69/21.08 Z := skol22
% 20.69/21.08 T := skol23
% 20.69/21.08 U := X
% 20.69/21.08 W := Y
% 20.69/21.08 end
% 20.69/21.08
% 20.69/21.08 subsumption: (271) {G2,W10,D2,L2,V2,M2} R(229,5) { ! para( skol24, skol20,
% 20.69/21.08 X, Y ), ! para( X, Y, skol22, skol23 ) }.
% 20.69/21.08 parent0: (74309) {G1,W10,D2,L2,V2,M2} { ! para( skol24, skol20, X, Y ), !
% 20.69/21.08 para( X, Y, skol22, skol23 ) }.
% 20.69/21.08 substitution0:
% 20.69/21.08 X := X
% 20.69/21.08 Y := Y
% 20.69/21.08 end
% 20.69/21.08 permutation0:
% 20.69/21.08 0 ==> 0
% 20.69/21.08 1 ==> 1
% 20.69/21.08 end
% 20.69/21.08
% 20.69/21.08 resolution: (74310) {G1,W15,D2,L3,V6,M3} { ! perp( Z, T, U, W ), para( X,
% 20.69/21.08 Y, U, W ), ! perp( Z, T, X, Y ) }.
% 20.69/21.08 parent0[0]: (8) {G0,W15,D2,L3,V6,M3} I { ! perp( X, Y, U, W ), ! perp( U, W
% 20.69/21.08 , Z, T ), para( X, Y, Z, T ) }.
% 20.69/21.08 parent1[1]: (7) {G0,W10,D2,L2,V4,M2} I { ! perp( X, Y, Z, T ), perp( Z, T,
% 20.69/21.08 X, Y ) }.
% 20.69/21.08 substitution0:
% 20.69/21.08 X := X
% 20.69/21.08 Y := Y
% 20.69/21.08 Z := U
% 20.69/21.08 T := W
% 20.69/21.08 U := Z
% 20.69/21.08 W := T
% 20.69/21.08 end
% 20.69/21.08 substitution1:
% 20.69/21.08 X := Z
% 20.69/21.08 Y := T
% 20.69/21.08 Z := X
% 20.69/21.08 T := Y
% 20.69/21.08 end
% 20.69/21.08
% 20.69/21.08 subsumption: (287) {G1,W15,D2,L3,V6,M3} R(8,7) { ! perp( X, Y, Z, T ), para
% 20.69/21.08 ( U, W, Z, T ), ! perp( X, Y, U, W ) }.
% 20.69/21.08 parent0: (74310) {G1,W15,D2,L3,V6,M3} { ! perp( Z, T, U, W ), para( X, Y,
% 20.69/21.08 U, W ), ! perp( Z, T, X, Y ) }.
% 20.69/21.08 substitution0:
% 20.69/21.08 X := U
% 20.69/21.08 Y := W
% 20.69/21.08 Z := X
% 20.69/21.08 T := Y
% 20.69/21.08 U := Z
% 20.69/21.08 W := T
% 20.69/21.08 end
% 20.69/21.08 permutation0:
% 20.69/21.08 0 ==> 0
% 20.69/21.08 1 ==> 1
% 20.69/21.08 2 ==> 2
% 20.69/21.08 end
% 20.69/21.08
% 20.69/21.08 resolution: (74315) {G1,W15,D2,L3,V6,M3} { ! perp( X, Y, Z, T ), para( X,
% 20.69/21.08 Y, U, W ), ! perp( U, W, Z, T ) }.
% 20.69/21.08 parent0[1]: (8) {G0,W15,D2,L3,V6,M3} I { ! perp( X, Y, U, W ), ! perp( U, W
% 20.69/21.08 , Z, T ), para( X, Y, Z, T ) }.
% 20.69/21.08 parent1[1]: (7) {G0,W10,D2,L2,V4,M2} I { ! perp( X, Y, Z, T ), perp( Z, T,
% 20.69/21.08 X, Y ) }.
% 20.69/21.08 substitution0:
% 20.69/21.08 X := X
% 20.69/21.08 Y := Y
% 20.69/21.08 Z := U
% 20.69/21.08 T := W
% 20.69/21.08 U := Z
% 20.69/21.08 W := T
% 20.69/21.08 end
% 20.69/21.08 substitution1:
% 20.69/21.08 X := U
% 20.69/21.08 Y := W
% 20.69/21.08 Z := Z
% 20.69/21.08 T := T
% 20.69/21.08 end
% 20.69/21.08
% 20.69/21.08 subsumption: (288) {G1,W15,D2,L3,V6,M3} R(8,7) { ! perp( X, Y, Z, T ), para
% 20.69/21.08 ( X, Y, U, W ), ! perp( U, W, Z, T ) }.
% 20.69/21.08 parent0: (74315) {G1,W15,D2,L3,V6,M3} { ! perp( X, Y, Z, T ), para( X, Y,
% 20.69/21.08 U, W ), ! perp( U, W, Z, T ) }.
% 20.69/21.08 substitution0:
% 20.69/21.08 X := X
% 20.69/21.08 Y := Y
% 20.69/21.08 Z := Z
% 20.69/21.08 T := T
% 20.69/21.08 U := U
% 20.69/21.08 W := W
% 20.69/21.08 end
% 20.69/21.08 permutation0:
% 20.69/21.08 0 ==> 0
% 20.69/21.08 1 ==> 1
% 20.69/21.08 2 ==> 2
% 20.69/21.08 end
% 20.69/21.08
% 20.69/21.08 factor: (74318) {G1,W10,D2,L2,V4,M2} { ! perp( X, Y, Z, T ), para( X, Y, X
% 20.69/21.08 , Y ) }.
% 20.69/21.08 parent0[0, 2]: (288) {G1,W15,D2,L3,V6,M3} R(8,7) { ! perp( X, Y, Z, T ),
% 20.69/21.08 para( X, Y, U, W ), ! perp( U, W, Z, T ) }.
% 20.69/21.08 substitution0:
% 20.69/21.08 X := X
% 20.69/21.08 Y := Y
% 20.69/21.08 Z := Z
% 20.69/21.08 T := T
% 20.69/21.08 U := X
% 20.69/21.08 W := Y
% 20.69/21.08 end
% 20.69/21.08
% 20.69/21.08 subsumption: (304) {G2,W10,D2,L2,V4,M2} F(288) { ! perp( X, Y, Z, T ), para
% 20.69/21.08 ( X, Y, X, Y ) }.
% 20.69/21.08 parent0: (74318) {G1,W10,D2,L2,V4,M2} { ! perp( X, Y, Z, T ), para( X, Y,
% 20.69/21.08 X, Y ) }.
% 20.69/21.08 substitution0:
% 20.69/21.08 X := X
% 20.69/21.08 Y := Y
% 20.69/21.08 Z := Z
% 20.69/21.08 T := T
% 20.69/21.08 end
% 20.69/21.08 permutation0:
% 20.69/21.08 0 ==> 0
% 20.69/21.08 1 ==> 1
% 20.69/21.08 end
% 20.69/21.08
% 20.69/21.08 resolution: (74319) {G1,W5,D2,L1,V0,M1} { perp( skol23, skol32, skol26,
% 20.69/21.08 skol25 ) }.
% 20.69/21.08 parent0[0]: (6) {G0,W10,D2,L2,V4,M2} I { ! perp( X, Y, Z, T ), perp( X, Y,
% 20.69/21.08 T, Z ) }.
% 20.69/21.08 parent1[0]: (125) {G0,W5,D2,L1,V0,M1} I { perp( skol23, skol32, skol25,
% 20.69/21.08 skol26 ) }.
% 20.69/21.08 substitution0:
% 20.69/21.08 X := skol23
% 20.69/21.08 Y := skol32
% 20.69/21.08 Z := skol25
% 20.69/21.08 T := skol26
% 20.69/21.08 end
% 20.69/21.08 substitution1:
% 20.69/21.08 end
% 20.69/21.08
% 20.69/21.08 subsumption: (336) {G1,W5,D2,L1,V0,M1} R(125,6) { perp( skol23, skol32,
% 20.69/21.08 skol26, skol25 ) }.
% 20.69/21.08 parent0: (74319) {G1,W5,D2,L1,V0,M1} { perp( skol23, skol32, skol26,
% 20.69/21.08 skol25 ) }.
% 20.69/21.08 substitution0:
% 20.69/21.08 end
% 20.69/21.08 permutation0:
% 20.69/21.08 0 ==> 0
% 20.69/21.08 end
% 20.69/21.08
% 20.69/21.08 resolution: (74321) {G1,W10,D2,L2,V4,M2} { cyclic( X, Y, T, Z ), ! cyclic
% 20.69/21.08 ( X, Z, Y, T ) }.
% 20.69/21.08 parent0[0]: (13) {G0,W10,D2,L2,V4,M2} I { ! cyclic( X, Y, Z, T ), cyclic( X
% 20.69/21.08 , Y, T, Z ) }.
% 20.69/21.08 parent1[1]: (14) {G0,W10,D2,L2,V4,M2} I { ! cyclic( X, Y, Z, T ), cyclic( X
% 20.69/21.08 , Z, Y, T ) }.
% 20.69/21.08 substitution0:
% 20.69/21.08 X := X
% 20.69/21.08 Y := Y
% 20.69/21.08 Z := Z
% 20.69/21.08 T := T
% 20.69/21.08 end
% 20.69/21.08 substitution1:
% 20.69/21.08 X := X
% 20.69/21.08 Y := Z
% 20.69/21.08 Z := Y
% 20.69/21.08 T := T
% 20.69/21.08 end
% 20.69/21.08
% 20.69/21.08 subsumption: (408) {G1,W10,D2,L2,V4,M2} R(14,13) { ! cyclic( X, Y, Z, T ),
% 20.69/21.08 cyclic( X, Z, T, Y ) }.
% 20.69/21.08 parent0: (74321) {G1,W10,D2,L2,V4,M2} { cyclic( X, Y, T, Z ), ! cyclic( X
% 20.69/21.08 , Z, Y, T ) }.
% 20.69/21.08 substitution0:
% 20.69/21.08 X := X
% 20.69/21.08 Y := Z
% 20.69/21.08 Z := Y
% 20.69/21.08 T := T
% 20.69/21.08 end
% 20.69/21.08 permutation0:
% 20.69/21.08 0 ==> 1
% 20.69/21.08 1 ==> 0
% 20.69/21.08 end
% 20.69/21.08
% 20.69/21.08 resolution: (74322) {G1,W10,D2,L2,V4,M2} { cyclic( Y, X, Z, T ), ! cyclic
% 20.69/21.08 ( X, Z, Y, T ) }.
% 20.69/21.08 parent0[0]: (15) {G0,W10,D2,L2,V4,M2} I { ! cyclic( X, Y, Z, T ), cyclic( Y
% 20.69/21.08 , X, Z, T ) }.
% 20.69/21.08 parent1[1]: (14) {G0,W10,D2,L2,V4,M2} I { ! cyclic( X, Y, Z, T ), cyclic( X
% 20.69/21.08 , Z, Y, T ) }.
% 20.69/21.08 substitution0:
% 20.69/21.08 X := X
% 20.69/21.08 Y := Y
% 20.69/21.08 Z := Z
% 20.69/21.08 T := T
% 20.69/21.08 end
% 20.69/21.08 substitution1:
% 20.69/21.08 X := X
% 20.69/21.08 Y := Z
% 20.69/21.08 Z := Y
% 20.69/21.08 T := T
% 20.69/21.08 end
% 20.69/21.08
% 20.69/21.08 subsumption: (424) {G1,W10,D2,L2,V4,M2} R(15,14) { cyclic( X, Y, Z, T ), !
% 20.69/21.08 cyclic( Y, Z, X, T ) }.
% 20.69/21.08 parent0: (74322) {G1,W10,D2,L2,V4,M2} { cyclic( Y, X, Z, T ), ! cyclic( X
% 20.69/21.08 , Z, Y, T ) }.
% 20.69/21.08 substitution0:
% 20.69/21.08 X := Y
% 20.69/21.08 Y := X
% 20.69/21.08 Z := Z
% 20.69/21.08 T := T
% 20.69/21.08 end
% 20.69/21.08 permutation0:
% 20.69/21.08 0 ==> 0
% 20.69/21.08 1 ==> 1
% 20.69/21.08 end
% 20.69/21.08
% 20.69/21.08 resolution: (74323) {G1,W10,D2,L2,V4,M2} { cyclic( Y, X, Z, T ), ! cyclic
% 20.69/21.08 ( X, Y, T, Z ) }.
% 20.69/21.08 parent0[0]: (15) {G0,W10,D2,L2,V4,M2} I { ! cyclic( X, Y, Z, T ), cyclic( Y
% 20.69/21.08 , X, Z, T ) }.
% 20.69/21.08 parent1[1]: (13) {G0,W10,D2,L2,V4,M2} I { ! cyclic( X, Y, Z, T ), cyclic( X
% 20.69/21.08 , Y, T, Z ) }.
% 20.69/21.08 substitution0:
% 20.69/21.08 X := X
% 20.69/21.08 Y := Y
% 20.69/21.08 Z := Z
% 20.69/21.08 T := T
% 20.69/21.08 end
% 20.69/21.08 substitution1:
% 20.69/21.08 X := X
% 20.69/21.08 Y := Y
% 20.69/21.08 Z := T
% 20.69/21.08 T := Z
% 20.69/21.08 end
% 20.69/21.08
% 20.69/21.08 subsumption: (426) {G1,W10,D2,L2,V4,M2} R(15,13) { cyclic( X, Y, Z, T ), !
% 20.69/21.08 cyclic( Y, X, T, Z ) }.
% 20.69/21.08 parent0: (74323) {G1,W10,D2,L2,V4,M2} { cyclic( Y, X, Z, T ), ! cyclic( X
% 20.69/21.08 , Y, T, Z ) }.
% 20.69/21.08 substitution0:
% 20.69/21.08 X := Y
% 20.69/21.08 Y := X
% 20.69/21.08 Z := Z
% 20.69/21.08 T := T
% 20.69/21.08 end
% 20.69/21.08 permutation0:
% 20.69/21.08 0 ==> 0
% 20.69/21.08 1 ==> 1
% 20.69/21.08 end
% 20.69/21.08
% 20.69/21.08 resolution: (74327) {G1,W15,D2,L3,V5,M3} { cyclic( Y, X, Z, T ), ! cyclic
% 20.69/21.08 ( U, X, Y, Z ), ! cyclic( U, X, Y, T ) }.
% 20.69/21.08 parent0[0]: (15) {G0,W10,D2,L2,V4,M2} I { ! cyclic( X, Y, Z, T ), cyclic( Y
% 20.69/21.08 , X, Z, T ) }.
% 20.69/21.08 parent1[2]: (16) {G0,W15,D2,L3,V5,M3} I { ! cyclic( U, X, Y, Z ), ! cyclic
% 20.69/21.08 ( U, X, Y, T ), cyclic( X, Y, Z, T ) }.
% 20.69/21.08 substitution0:
% 20.69/21.08 X := X
% 20.69/21.08 Y := Y
% 20.69/21.08 Z := Z
% 20.69/21.08 T := T
% 20.69/21.08 end
% 20.69/21.08 substitution1:
% 20.69/21.08 X := X
% 20.69/21.08 Y := Y
% 20.69/21.08 Z := Z
% 20.69/21.08 T := T
% 20.69/21.08 U := U
% 20.69/21.08 end
% 20.69/21.08
% 20.69/21.08 subsumption: (452) {G1,W15,D2,L3,V5,M3} R(16,15) { ! cyclic( X, Y, Z, T ),
% 20.69/21.08 ! cyclic( X, Y, Z, U ), cyclic( Z, Y, T, U ) }.
% 20.69/21.08 parent0: (74327) {G1,W15,D2,L3,V5,M3} { cyclic( Y, X, Z, T ), ! cyclic( U
% 20.69/21.08 , X, Y, Z ), ! cyclic( U, X, Y, T ) }.
% 20.69/21.08 substitution0:
% 20.69/21.08 X := Y
% 20.69/21.08 Y := Z
% 20.69/21.08 Z := T
% 20.69/21.08 T := U
% 20.69/21.08 U := X
% 20.69/21.08 end
% 20.69/21.08 permutation0:
% 20.69/21.08 0 ==> 2
% 20.69/21.08 1 ==> 0
% 20.69/21.08 2 ==> 1
% 20.69/21.08 end
% 20.69/21.08
% 20.69/21.08 resolution: (74330) {G1,W15,D2,L3,V5,M3} { ! cyclic( X, Y, Z, T ), cyclic
% 20.69/21.08 ( Y, Z, T, U ), ! cyclic( X, Y, U, Z ) }.
% 20.69/21.08 parent0[1]: (16) {G0,W15,D2,L3,V5,M3} I { ! cyclic( U, X, Y, Z ), ! cyclic
% 20.69/21.08 ( U, X, Y, T ), cyclic( X, Y, Z, T ) }.
% 20.69/21.08 parent1[1]: (13) {G0,W10,D2,L2,V4,M2} I { ! cyclic( X, Y, Z, T ), cyclic( X
% 20.69/21.08 , Y, T, Z ) }.
% 20.69/21.08 substitution0:
% 20.69/21.08 X := Y
% 20.69/21.08 Y := Z
% 20.69/21.08 Z := T
% 20.69/21.08 T := U
% 20.69/21.08 U := X
% 20.69/21.08 end
% 20.69/21.08 substitution1:
% 20.69/21.08 X := X
% 20.69/21.08 Y := Y
% 20.69/21.08 Z := U
% 20.69/21.08 T := Z
% 20.69/21.08 end
% 20.69/21.08
% 20.69/21.08 subsumption: (457) {G1,W15,D2,L3,V5,M3} R(16,13) { ! cyclic( X, Y, Z, T ),
% 20.69/21.08 cyclic( Y, Z, T, U ), ! cyclic( X, Y, U, Z ) }.
% 20.69/21.08 parent0: (74330) {G1,W15,D2,L3,V5,M3} { ! cyclic( X, Y, Z, T ), cyclic( Y
% 20.69/21.08 , Z, T, U ), ! cyclic( X, Y, U, Z ) }.
% 20.69/21.08 substitution0:
% 20.69/21.08 X := X
% 20.69/21.08 Y := Y
% 20.69/21.08 Z := Z
% 20.69/21.08 T := T
% 20.69/21.08 U := U
% 20.69/21.08 end
% 20.69/21.08 permutation0:
% 20.69/21.08 0 ==> 0
% 20.69/21.08 1 ==> 1
% 20.69/21.08 2 ==> 2
% 20.69/21.08 end
% 20.69/21.08
% 20.69/21.08 factor: (74332) {G1,W10,D2,L2,V4,M2} { ! cyclic( X, Y, Z, T ), cyclic( Z,
% 20.69/21.08 Y, T, T ) }.
% 20.69/21.08 parent0[0, 1]: (452) {G1,W15,D2,L3,V5,M3} R(16,15) { ! cyclic( X, Y, Z, T )
% 20.69/21.08 , ! cyclic( X, Y, Z, U ), cyclic( Z, Y, T, U ) }.
% 20.69/21.08 substitution0:
% 20.69/21.08 X := X
% 20.69/21.08 Y := Y
% 20.69/21.08 Z := Z
% 20.69/21.08 T := T
% 20.69/21.08 U := T
% 20.69/21.08 end
% 20.69/21.08
% 20.69/21.08 subsumption: (461) {G2,W10,D2,L2,V4,M2} F(452) { ! cyclic( X, Y, Z, T ),
% 20.69/21.08 cyclic( Z, Y, T, T ) }.
% 20.69/21.08 parent0: (74332) {G1,W10,D2,L2,V4,M2} { ! cyclic( X, Y, Z, T ), cyclic( Z
% 20.69/21.08 , Y, T, T ) }.
% 20.69/21.08 substitution0:
% 20.69/21.08 X := X
% 20.69/21.08 Y := Y
% 20.69/21.08 Z := Z
% 20.69/21.08 T := T
% 20.69/21.08 end
% 20.69/21.08 permutation0:
% 20.69/21.08 0 ==> 0
% 20.69/21.08 1 ==> 1
% 20.69/21.08 end
% 20.69/21.08
% 20.69/21.08 resolution: (74333) {G1,W12,D2,L3,V4,M3} { coll( Z, X, Z ), ! coll( Z, T,
% 20.69/21.08 X ), ! coll( Z, T, Y ) }.
% 20.69/21.08 parent0[0]: (215) {G2,W8,D2,L2,V3,M2} F(206) { ! coll( X, Y, Z ), coll( Z,
% 20.69/21.08 X, Z ) }.
% 20.69/21.08 parent1[2]: (2) {G0,W12,D2,L3,V4,M3} I { ! coll( X, T, Y ), ! coll( X, T, Z
% 20.69/21.08 ), coll( Y, Z, X ) }.
% 20.69/21.08 substitution0:
% 20.69/21.08 X := X
% 20.69/21.08 Y := Y
% 20.69/21.08 Z := Z
% 20.69/21.08 end
% 20.69/21.08 substitution1:
% 20.69/21.08 X := Z
% 20.69/21.08 Y := X
% 20.69/21.08 Z := Y
% 20.69/21.08 T := T
% 20.69/21.08 end
% 20.69/21.08
% 20.69/21.08 subsumption: (493) {G3,W12,D2,L3,V4,M3} R(215,2) { coll( X, Y, X ), ! coll
% 20.69/21.08 ( X, Z, Y ), ! coll( X, Z, T ) }.
% 20.69/21.08 parent0: (74333) {G1,W12,D2,L3,V4,M3} { coll( Z, X, Z ), ! coll( Z, T, X )
% 20.69/21.08 , ! coll( Z, T, Y ) }.
% 20.69/21.08 substitution0:
% 20.69/21.08 X := Y
% 20.69/21.08 Y := Y
% 20.69/21.08 Z := X
% 20.69/21.08 T := Z
% 20.69/21.08 end
% 20.69/21.08 permutation0:
% 20.69/21.08 0 ==> 0
% 20.69/21.08 1 ==> 1
% 20.69/21.08 2 ==> 1
% 20.69/21.08 end
% 20.69/21.08
% 20.69/21.08 factor: (74335) {G3,W8,D2,L2,V3,M2} { coll( X, Y, X ), ! coll( X, Z, Y )
% 20.69/21.08 }.
% 20.69/21.08 parent0[1, 2]: (493) {G3,W12,D2,L3,V4,M3} R(215,2) { coll( X, Y, X ), !
% 20.69/21.08 coll( X, Z, Y ), ! coll( X, Z, T ) }.
% 20.69/21.08 substitution0:
% 20.69/21.08 X := X
% 20.69/21.08 Y := Y
% 20.69/21.08 Z := Z
% 20.69/21.08 T := Y
% 20.69/21.08 end
% 20.69/21.08
% 20.69/21.08 subsumption: (508) {G4,W8,D2,L2,V3,M2} F(493) { coll( X, Y, X ), ! coll( X
% 20.69/21.08 , Z, Y ) }.
% 20.69/21.08 parent0: (74335) {G3,W8,D2,L2,V3,M2} { coll( X, Y, X ), ! coll( X, Z, Y )
% 20.69/21.08 }.
% 20.69/21.08 substitution0:
% 20.69/21.08 X := X
% 20.69/21.08 Y := Y
% 20.69/21.08 Z := Z
% 20.69/21.08 end
% 20.69/21.08 permutation0:
% 20.69/21.08 0 ==> 0
% 20.69/21.08 1 ==> 1
% 20.69/21.08 end
% 20.69/21.08
% 20.69/21.08 resolution: (74337) {G1,W8,D2,L2,V3,M2} { coll( X, X, Y ), ! coll( X, Z, Y
% 20.69/21.08 ) }.
% 20.69/21.08 parent0[0]: (0) {G0,W8,D2,L2,V3,M2} I { ! coll( X, Y, Z ), coll( X, Z, Y )
% 20.69/21.08 }.
% 20.69/21.08 parent1[0]: (508) {G4,W8,D2,L2,V3,M2} F(493) { coll( X, Y, X ), ! coll( X,
% 20.69/21.08 Z, Y ) }.
% 20.69/21.08 substitution0:
% 20.69/21.08 X := X
% 20.69/21.08 Y := Y
% 20.69/21.08 Z := X
% 20.69/21.08 end
% 20.69/21.08 substitution1:
% 20.69/21.08 X := X
% 20.69/21.08 Y := Y
% 20.69/21.08 Z := Z
% 20.69/21.08 end
% 20.69/21.08
% 20.69/21.08 subsumption: (737) {G5,W8,D2,L2,V3,M2} R(508,0) { ! coll( X, Y, Z ), coll(
% 20.69/21.08 X, X, Z ) }.
% 20.69/21.08 parent0: (74337) {G1,W8,D2,L2,V3,M2} { coll( X, X, Y ), ! coll( X, Z, Y )
% 20.69/21.08 }.
% 20.69/21.08 substitution0:
% 20.69/21.08 X := X
% 20.69/21.08 Y := Z
% 20.69/21.08 Z := Y
% 20.69/21.08 end
% 20.69/21.08 permutation0:
% 20.69/21.08 0 ==> 1
% 20.69/21.08 1 ==> 0
% 20.69/21.08 end
% 20.69/21.08
% 20.69/21.08 resolution: (74338) {G1,W14,D2,L2,V6,M2} { eqangle( Z, T, X, Y, Z, T, U, W
% 20.69/21.08 ), ! para( X, Y, U, W ) }.
% 20.69/21.08 parent0[0]: (18) {G0,W18,D2,L2,V8,M2} I { ! eqangle( X, Y, Z, T, U, W, V0,
% 20.69/21.08 V1 ), eqangle( Z, T, X, Y, V0, V1, U, W ) }.
% 20.69/21.08 parent1[1]: (39) {G0,W14,D2,L2,V6,M2} I { ! para( X, Y, Z, T ), eqangle( X
% 20.69/21.08 , Y, U, W, Z, T, U, W ) }.
% 20.69/21.08 substitution0:
% 20.69/21.08 X := X
% 20.69/21.08 Y := Y
% 20.69/21.08 Z := Z
% 20.69/21.08 T := T
% 20.69/21.08 U := U
% 20.69/21.08 W := W
% 20.69/21.08 V0 := Z
% 20.69/21.08 V1 := T
% 20.69/21.08 end
% 20.69/21.08 substitution1:
% 20.69/21.08 X := X
% 20.69/21.08 Y := Y
% 20.69/21.08 Z := U
% 20.69/21.08 T := W
% 20.69/21.08 U := Z
% 20.69/21.08 W := T
% 20.69/21.08 end
% 20.69/21.08
% 20.69/21.08 subsumption: (809) {G1,W14,D2,L2,V6,M2} R(39,18) { ! para( X, Y, Z, T ),
% 20.69/21.08 eqangle( U, W, X, Y, U, W, Z, T ) }.
% 20.69/21.08 parent0: (74338) {G1,W14,D2,L2,V6,M2} { eqangle( Z, T, X, Y, Z, T, U, W )
% 20.69/21.08 , ! para( X, Y, U, W ) }.
% 20.69/21.08 substitution0:
% 20.69/21.08 X := X
% 20.69/21.08 Y := Y
% 20.69/21.08 Z := U
% 20.69/21.08 T := W
% 20.69/21.08 U := Z
% 20.69/21.08 W := T
% 20.69/21.08 end
% 20.69/21.08 permutation0:
% 20.69/21.08 0 ==> 1
% 20.69/21.08 1 ==> 0
% 20.69/21.08 end
% 20.69/21.08
% 20.69/21.08 resolution: (74339) {G1,W25,D2,L5,V4,M5} { ! cyclic( X, Y, Z, X ), !
% 20.69/21.08 cyclic( X, Y, Z, Y ), ! cyclic( X, Y, Z, T ), cong( X, Y, X, Y ), !
% 20.69/21.08 cyclic( X, Y, Z, T ) }.
% 20.69/21.08 parent0[3]: (43) {G0,W29,D2,L5,V6,M5} I { ! cyclic( X, Y, U, Z ), ! cyclic
% 20.69/21.08 ( X, Y, U, T ), ! cyclic( X, Y, U, W ), ! eqangle( U, X, U, Y, W, Z, W, T
% 20.69/21.08 ), cong( X, Y, Z, T ) }.
% 20.69/21.08 parent1[1]: (40) {G0,W14,D2,L2,V4,M2} I { ! cyclic( X, Y, Z, T ), eqangle(
% 20.69/21.08 Z, X, Z, Y, T, X, T, Y ) }.
% 20.69/21.08 substitution0:
% 20.69/21.08 X := X
% 20.69/21.08 Y := Y
% 20.69/21.08 Z := X
% 20.69/21.08 T := Y
% 20.69/21.08 U := Z
% 20.69/21.08 W := T
% 20.69/21.08 end
% 20.69/21.08 substitution1:
% 20.69/21.08 X := X
% 20.69/21.08 Y := Y
% 20.69/21.08 Z := Z
% 20.69/21.08 T := T
% 20.69/21.08 end
% 20.69/21.08
% 20.69/21.08 factor: (74341) {G1,W20,D2,L4,V3,M4} { ! cyclic( X, Y, Z, X ), ! cyclic( X
% 20.69/21.08 , Y, Z, Y ), cong( X, Y, X, Y ), ! cyclic( X, Y, Z, X ) }.
% 20.69/21.08 parent0[0, 2]: (74339) {G1,W25,D2,L5,V4,M5} { ! cyclic( X, Y, Z, X ), !
% 20.69/21.08 cyclic( X, Y, Z, Y ), ! cyclic( X, Y, Z, T ), cong( X, Y, X, Y ), !
% 20.69/21.08 cyclic( X, Y, Z, T ) }.
% 20.69/21.08 substitution0:
% 20.69/21.08 X := X
% 20.69/21.08 Y := Y
% 20.69/21.08 Z := Z
% 20.69/21.08 T := X
% 20.69/21.08 end
% 20.69/21.08
% 20.69/21.08 subsumption: (1005) {G1,W20,D2,L4,V4,M4} R(43,40);f { ! cyclic( X, Y, Z, X
% 20.69/21.08 ), ! cyclic( X, Y, Z, Y ), ! cyclic( X, Y, Z, T ), cong( X, Y, X, Y )
% 20.69/21.08 }.
% 20.69/21.08 parent0: (74341) {G1,W20,D2,L4,V3,M4} { ! cyclic( X, Y, Z, X ), ! cyclic(
% 20.69/21.08 X, Y, Z, Y ), cong( X, Y, X, Y ), ! cyclic( X, Y, Z, X ) }.
% 20.69/21.08 substitution0:
% 20.69/21.08 X := X
% 20.69/21.08 Y := Y
% 20.69/21.08 Z := Z
% 20.69/21.08 end
% 20.69/21.08 permutation0:
% 20.69/21.08 0 ==> 0
% 20.69/21.08 1 ==> 1
% 20.69/21.08 2 ==> 3
% 20.69/21.08 3 ==> 0
% 20.69/21.08 end
% 20.69/21.08
% 20.69/21.08 factor: (74346) {G1,W15,D2,L3,V3,M3} { ! cyclic( X, Y, Z, X ), ! cyclic( X
% 20.69/21.08 , Y, Z, Y ), cong( X, Y, X, Y ) }.
% 20.69/21.08 parent0[0, 2]: (1005) {G1,W20,D2,L4,V4,M4} R(43,40);f { ! cyclic( X, Y, Z,
% 20.69/21.08 X ), ! cyclic( X, Y, Z, Y ), ! cyclic( X, Y, Z, T ), cong( X, Y, X, Y )
% 20.69/21.08 }.
% 20.69/21.08 substitution0:
% 20.69/21.08 X := X
% 20.69/21.08 Y := Y
% 20.69/21.08 Z := Z
% 20.69/21.08 T := X
% 20.69/21.08 end
% 20.69/21.08
% 20.69/21.08 subsumption: (1037) {G2,W15,D2,L3,V3,M3} F(1005) { ! cyclic( X, Y, Z, X ),
% 20.69/21.08 ! cyclic( X, Y, Z, Y ), cong( X, Y, X, Y ) }.
% 20.69/21.08 parent0: (74346) {G1,W15,D2,L3,V3,M3} { ! cyclic( X, Y, Z, X ), ! cyclic(
% 20.69/21.08 X, Y, Z, Y ), cong( X, Y, X, Y ) }.
% 20.69/21.08 substitution0:
% 20.69/21.08 X := X
% 20.69/21.08 Y := Y
% 20.69/21.08 Z := Z
% 20.69/21.08 end
% 20.69/21.08 permutation0:
% 20.69/21.08 0 ==> 0
% 20.69/21.08 1 ==> 1
% 20.69/21.08 2 ==> 2
% 20.69/21.08 end
% 20.69/21.08
% 20.69/21.08 resolution: (74348) {G2,W5,D2,L1,V0,M1} { para( skol23, skol32, skol23,
% 20.69/21.08 skol32 ) }.
% 20.69/21.08 parent0[0]: (304) {G2,W10,D2,L2,V4,M2} F(288) { ! perp( X, Y, Z, T ), para
% 20.69/21.08 ( X, Y, X, Y ) }.
% 20.69/21.08 parent1[0]: (336) {G1,W5,D2,L1,V0,M1} R(125,6) { perp( skol23, skol32,
% 20.69/21.08 skol26, skol25 ) }.
% 20.69/21.08 substitution0:
% 20.69/21.08 X := skol23
% 20.69/21.08 Y := skol32
% 20.69/21.08 Z := skol26
% 20.69/21.08 T := skol25
% 20.69/21.08 end
% 20.69/21.08 substitution1:
% 20.69/21.08 end
% 20.69/21.08
% 20.69/21.08 subsumption: (19411) {G3,W5,D2,L1,V0,M1} R(304,336) { para( skol23, skol32
% 20.69/21.08 , skol23, skol32 ) }.
% 20.69/21.08 parent0: (74348) {G2,W5,D2,L1,V0,M1} { para( skol23, skol32, skol23,
% 20.69/21.08 skol32 ) }.
% 20.69/21.08 substitution0:
% 20.69/21.08 end
% 20.69/21.08 permutation0:
% 20.69/21.08 0 ==> 0
% 20.69/21.08 end
% 20.69/21.08
% 20.69/21.08 resolution: (74349) {G1,W4,D2,L1,V0,M1} { coll( skol23, skol32, skol32 )
% 20.69/21.08 }.
% 20.69/21.08 parent0[0]: (66) {G0,W9,D2,L2,V3,M2} I { ! para( X, Y, X, Z ), coll( X, Y,
% 20.69/21.08 Z ) }.
% 20.69/21.08 parent1[0]: (19411) {G3,W5,D2,L1,V0,M1} R(304,336) { para( skol23, skol32,
% 20.69/21.08 skol23, skol32 ) }.
% 20.69/21.08 substitution0:
% 20.69/21.08 X := skol23
% 20.69/21.08 Y := skol32
% 20.69/21.08 Z := skol32
% 20.69/21.08 end
% 20.69/21.08 substitution1:
% 20.69/21.08 end
% 20.69/21.08
% 20.69/21.08 subsumption: (27140) {G4,W4,D2,L1,V0,M1} R(19411,66) { coll( skol23, skol32
% 20.69/21.08 , skol32 ) }.
% 20.69/21.08 parent0: (74349) {G1,W4,D2,L1,V0,M1} { coll( skol23, skol32, skol32 ) }.
% 20.69/21.08 substitution0:
% 20.69/21.08 end
% 20.69/21.08 permutation0:
% 20.69/21.08 0 ==> 0
% 20.69/21.08 end
% 20.69/21.08
% 20.69/21.08 resolution: (74350) {G5,W4,D2,L1,V0,M1} { coll( skol23, skol23, skol32 )
% 20.69/21.08 }.
% 20.69/21.08 parent0[0]: (737) {G5,W8,D2,L2,V3,M2} R(508,0) { ! coll( X, Y, Z ), coll( X
% 20.69/21.08 , X, Z ) }.
% 20.69/21.08 parent1[0]: (27140) {G4,W4,D2,L1,V0,M1} R(19411,66) { coll( skol23, skol32
% 20.69/21.08 , skol32 ) }.
% 20.69/21.08 substitution0:
% 20.69/21.08 X := skol23
% 20.69/21.08 Y := skol32
% 20.69/21.08 Z := skol32
% 20.69/21.08 end
% 20.69/21.08 substitution1:
% 20.69/21.08 end
% 20.69/21.08
% 20.69/21.08 subsumption: (27158) {G6,W4,D2,L1,V0,M1} R(27140,737) { coll( skol23,
% 20.69/21.08 skol23, skol32 ) }.
% 20.69/21.08 parent0: (74350) {G5,W4,D2,L1,V0,M1} { coll( skol23, skol23, skol32 ) }.
% 20.69/21.08 substitution0:
% 20.69/21.08 end
% 20.69/21.08 permutation0:
% 20.69/21.08 0 ==> 0
% 20.69/21.08 end
% 20.69/21.08
% 20.69/21.08 resolution: (74351) {G1,W14,D2,L2,V1,M2} { ! eqangle( skol23, X, skol23,
% 20.69/21.08 skol32, skol23, X, skol23, skol32 ), cyclic( X, skol32, skol23, skol23 )
% 20.69/21.08 }.
% 20.69/21.08 parent0[1]: (42) {G0,W18,D2,L3,V4,M3} I { ! eqangle( Z, X, Z, Y, T, X, T, Y
% 20.69/21.08 ), ! coll( Z, T, Y ), cyclic( X, Y, Z, T ) }.
% 20.69/21.08 parent1[0]: (27158) {G6,W4,D2,L1,V0,M1} R(27140,737) { coll( skol23, skol23
% 20.69/21.08 , skol32 ) }.
% 20.69/21.08 substitution0:
% 20.69/21.08 X := X
% 20.69/21.08 Y := skol32
% 20.69/21.08 Z := skol23
% 20.69/21.08 T := skol23
% 20.69/21.08 end
% 20.69/21.08 substitution1:
% 20.69/21.08 end
% 20.69/21.08
% 20.69/21.08 subsumption: (27277) {G7,W14,D2,L2,V1,M2} R(27158,42) { ! eqangle( skol23,
% 20.69/21.08 X, skol23, skol32, skol23, X, skol23, skol32 ), cyclic( X, skol32, skol23
% 20.69/21.08 , skol23 ) }.
% 20.69/21.08 parent0: (74351) {G1,W14,D2,L2,V1,M2} { ! eqangle( skol23, X, skol23,
% 20.69/21.08 skol32, skol23, X, skol23, skol32 ), cyclic( X, skol32, skol23, skol23 )
% 20.69/21.08 }.
% 20.69/21.08 substitution0:
% 20.69/21.08 X := X
% 20.69/21.08 end
% 20.69/21.08 permutation0:
% 20.69/21.08 0 ==> 0
% 20.69/21.08 1 ==> 1
% 20.69/21.08 end
% 20.69/21.08
% 20.69/21.08 resolution: (74352) {G2,W9,D2,L1,V2,M1} { eqangle( X, Y, skol23, skol32, X
% 20.69/21.08 , Y, skol23, skol32 ) }.
% 20.69/21.08 parent0[0]: (809) {G1,W14,D2,L2,V6,M2} R(39,18) { ! para( X, Y, Z, T ),
% 20.69/21.08 eqangle( U, W, X, Y, U, W, Z, T ) }.
% 20.69/21.08 parent1[0]: (19411) {G3,W5,D2,L1,V0,M1} R(304,336) { para( skol23, skol32,
% 20.69/21.08 skol23, skol32 ) }.
% 20.69/21.08 substitution0:
% 20.69/21.08 X := skol23
% 20.69/21.08 Y := skol32
% 20.69/21.08 Z := skol23
% 20.69/21.08 T := skol32
% 20.69/21.08 U := X
% 20.69/21.08 W := Y
% 20.69/21.08 end
% 20.69/21.08 substitution1:
% 20.69/21.08 end
% 20.69/21.08
% 20.69/21.08 subsumption: (58021) {G4,W9,D2,L1,V2,M1} R(809,19411) { eqangle( X, Y,
% 20.69/21.08 skol23, skol32, X, Y, skol23, skol32 ) }.
% 20.69/21.08 parent0: (74352) {G2,W9,D2,L1,V2,M1} { eqangle( X, Y, skol23, skol32, X, Y
% 20.69/21.08 , skol23, skol32 ) }.
% 20.69/21.08 substitution0:
% 20.69/21.08 X := X
% 20.69/21.08 Y := Y
% 20.69/21.08 end
% 20.69/21.08 permutation0:
% 20.69/21.08 0 ==> 0
% 20.69/21.08 end
% 20.69/21.08
% 20.69/21.08 resolution: (74353) {G5,W5,D2,L1,V1,M1} { cyclic( X, skol32, skol23,
% 20.69/21.08 skol23 ) }.
% 20.69/21.08 parent0[0]: (27277) {G7,W14,D2,L2,V1,M2} R(27158,42) { ! eqangle( skol23, X
% 20.69/21.08 , skol23, skol32, skol23, X, skol23, skol32 ), cyclic( X, skol32, skol23
% 20.69/21.08 , skol23 ) }.
% 20.69/21.08 parent1[0]: (58021) {G4,W9,D2,L1,V2,M1} R(809,19411) { eqangle( X, Y,
% 20.69/21.08 skol23, skol32, X, Y, skol23, skol32 ) }.
% 20.69/21.08 substitution0:
% 20.69/21.08 X := X
% 20.69/21.08 end
% 20.69/21.08 substitution1:
% 20.69/21.08 X := skol23
% 20.69/21.08 Y := X
% 20.69/21.08 end
% 20.69/21.08
% 20.69/21.08 subsumption: (60934) {G8,W5,D2,L1,V1,M1} S(27277);r(58021) { cyclic( X,
% 20.69/21.08 skol32, skol23, skol23 ) }.
% 20.69/21.08 parent0: (74353) {G5,W5,D2,L1,V1,M1} { cyclic( X, skol32, skol23, skol23 )
% 20.69/21.08 }.
% 20.69/21.08 substitution0:
% 20.69/21.08 X := X
% 20.69/21.08 end
% 20.69/21.08 permutation0:
% 20.69/21.08 0 ==> 0
% 20.69/21.08 end
% 20.69/21.08
% 20.69/21.08 resolution: (74354) {G2,W5,D2,L1,V1,M1} { cyclic( skol32, X, skol23,
% 20.69/21.08 skol23 ) }.
% 20.69/21.08 parent0[1]: (426) {G1,W10,D2,L2,V4,M2} R(15,13) { cyclic( X, Y, Z, T ), !
% 20.69/21.08 cyclic( Y, X, T, Z ) }.
% 20.69/21.08 parent1[0]: (60934) {G8,W5,D2,L1,V1,M1} S(27277);r(58021) { cyclic( X,
% 20.69/21.08 skol32, skol23, skol23 ) }.
% 20.69/21.08 substitution0:
% 20.69/21.08 X := skol32
% 20.69/21.08 Y := X
% 20.69/21.08 Z := skol23
% 20.69/21.08 T := skol23
% 20.69/21.08 end
% 20.69/21.08 substitution1:
% 20.69/21.08 X := X
% 20.69/21.08 end
% 20.69/21.08
% 20.69/21.08 subsumption: (60976) {G9,W5,D2,L1,V1,M1} R(60934,426) { cyclic( skol32, X,
% 20.69/21.08 skol23, skol23 ) }.
% 20.69/21.08 parent0: (74354) {G2,W5,D2,L1,V1,M1} { cyclic( skol32, X, skol23, skol23 )
% 20.69/21.08 }.
% 20.69/21.08 substitution0:
% 20.69/21.08 X := X
% 20.69/21.08 end
% 20.69/21.08 permutation0:
% 20.69/21.08 0 ==> 0
% 20.69/21.08 end
% 20.69/21.08
% 20.69/21.08 resolution: (74355) {G3,W5,D2,L1,V1,M1} { cyclic( skol23, X, skol23,
% 20.69/21.08 skol23 ) }.
% 20.69/21.08 parent0[0]: (461) {G2,W10,D2,L2,V4,M2} F(452) { ! cyclic( X, Y, Z, T ),
% 20.69/21.08 cyclic( Z, Y, T, T ) }.
% 20.69/21.08 parent1[0]: (60976) {G9,W5,D2,L1,V1,M1} R(60934,426) { cyclic( skol32, X,
% 20.69/21.08 skol23, skol23 ) }.
% 20.69/21.08 substitution0:
% 20.69/21.08 X := skol32
% 20.69/21.08 Y := X
% 20.69/21.08 Z := skol23
% 20.69/21.08 T := skol23
% 20.69/21.08 end
% 20.69/21.08 substitution1:
% 20.69/21.08 X := X
% 20.69/21.08 end
% 20.69/21.08
% 20.69/21.08 subsumption: (60988) {G10,W5,D2,L1,V1,M1} R(60976,461) { cyclic( skol23, X
% 20.69/21.08 , skol23, skol23 ) }.
% 20.69/21.08 parent0: (74355) {G3,W5,D2,L1,V1,M1} { cyclic( skol23, X, skol23, skol23 )
% 20.69/21.08 }.
% 20.69/21.08 substitution0:
% 20.69/21.08 X := X
% 20.69/21.08 end
% 20.69/21.08 permutation0:
% 20.69/21.08 0 ==> 0
% 20.69/21.08 end
% 20.69/21.08
% 20.69/21.08 resolution: (74356) {G2,W5,D2,L1,V1,M1} { cyclic( skol23, skol23, X,
% 20.69/21.08 skol23 ) }.
% 20.69/21.08 parent0[1]: (424) {G1,W10,D2,L2,V4,M2} R(15,14) { cyclic( X, Y, Z, T ), !
% 20.69/21.08 cyclic( Y, Z, X, T ) }.
% 20.69/21.08 parent1[0]: (60988) {G10,W5,D2,L1,V1,M1} R(60976,461) { cyclic( skol23, X,
% 20.69/21.08 skol23, skol23 ) }.
% 20.69/21.08 substitution0:
% 20.69/21.08 X := skol23
% 20.69/21.08 Y := skol23
% 20.69/21.08 Z := X
% 20.69/21.08 T := skol23
% 20.69/21.08 end
% 20.69/21.08 substitution1:
% 20.69/21.08 X := X
% 20.69/21.08 end
% 20.69/21.08
% 20.69/21.08 subsumption: (61010) {G11,W5,D2,L1,V1,M1} R(60988,424) { cyclic( skol23,
% 20.69/21.08 skol23, X, skol23 ) }.
% 20.69/21.08 parent0: (74356) {G2,W5,D2,L1,V1,M1} { cyclic( skol23, skol23, X, skol23 )
% 20.69/21.08 }.
% 20.69/21.08 substitution0:
% 20.69/21.08 X := X
% 20.69/21.08 end
% 20.69/21.08 permutation0:
% 20.69/21.08 0 ==> 0
% 20.69/21.08 end
% 20.69/21.08
% 20.69/21.08 resolution: (74357) {G2,W5,D2,L1,V1,M1} { cyclic( skol23, skol23, skol23,
% 20.69/21.08 X ) }.
% 20.69/21.08 parent0[0]: (408) {G1,W10,D2,L2,V4,M2} R(14,13) { ! cyclic( X, Y, Z, T ),
% 20.69/21.08 cyclic( X, Z, T, Y ) }.
% 20.69/21.08 parent1[0]: (60988) {G10,W5,D2,L1,V1,M1} R(60976,461) { cyclic( skol23, X,
% 20.69/21.08 skol23, skol23 ) }.
% 20.69/21.08 substitution0:
% 20.69/21.08 X := skol23
% 20.69/21.08 Y := X
% 20.69/21.08 Z := skol23
% 20.69/21.08 T := skol23
% 20.69/21.08 end
% 20.69/21.08 substitution1:
% 20.69/21.08 X := X
% 20.69/21.08 end
% 20.69/21.08
% 20.69/21.08 subsumption: (61011) {G11,W5,D2,L1,V1,M1} R(60988,408) { cyclic( skol23,
% 20.69/21.08 skol23, skol23, X ) }.
% 20.69/21.08 parent0: (74357) {G2,W5,D2,L1,V1,M1} { cyclic( skol23, skol23, skol23, X )
% 20.69/21.08 }.
% 20.69/21.08 substitution0:
% 20.69/21.08 X := X
% 20.69/21.08 end
% 20.69/21.08 permutation0:
% 20.69/21.08 0 ==> 0
% 20.69/21.08 end
% 20.69/21.08
% 20.69/21.08 resolution: (74359) {G2,W10,D2,L2,V2,M2} { ! cyclic( skol23, skol23,
% 20.69/21.08 skol23, X ), cyclic( skol23, skol23, X, Y ) }.
% 20.69/21.08 parent0[2]: (457) {G1,W15,D2,L3,V5,M3} R(16,13) { ! cyclic( X, Y, Z, T ),
% 20.69/21.08 cyclic( Y, Z, T, U ), ! cyclic( X, Y, U, Z ) }.
% 20.69/21.08 parent1[0]: (61010) {G11,W5,D2,L1,V1,M1} R(60988,424) { cyclic( skol23,
% 20.69/21.08 skol23, X, skol23 ) }.
% 20.69/21.08 substitution0:
% 20.69/21.08 X := skol23
% 20.69/21.08 Y := skol23
% 20.69/21.08 Z := skol23
% 20.69/21.08 T := X
% 20.69/21.08 U := Y
% 20.69/21.08 end
% 20.69/21.08 substitution1:
% 20.69/21.08 X := Y
% 20.69/21.08 end
% 20.69/21.08
% 20.69/21.08 resolution: (74360) {G3,W5,D2,L1,V2,M1} { cyclic( skol23, skol23, X, Y )
% 20.69/21.08 }.
% 20.69/21.08 parent0[0]: (74359) {G2,W10,D2,L2,V2,M2} { ! cyclic( skol23, skol23,
% 20.69/21.08 skol23, X ), cyclic( skol23, skol23, X, Y ) }.
% 20.69/21.08 parent1[0]: (61011) {G11,W5,D2,L1,V1,M1} R(60988,408) { cyclic( skol23,
% 20.69/21.08 skol23, skol23, X ) }.
% 20.69/21.08 substitution0:
% 20.69/21.08 X := X
% 20.69/21.08 Y := Y
% 20.69/21.08 end
% 20.69/21.08 substitution1:
% 20.69/21.08 X := X
% 20.69/21.08 end
% 20.69/21.08
% 20.69/21.08 subsumption: (61016) {G12,W5,D2,L1,V2,M1} R(61010,457);r(61011) { cyclic(
% 20.69/21.08 skol23, skol23, X, Y ) }.
% 20.69/21.08 parent0: (74360) {G3,W5,D2,L1,V2,M1} { cyclic( skol23, skol23, X, Y ) }.
% 20.69/21.08 substitution0:
% 20.69/21.08 X := X
% 20.69/21.08 Y := Y
% 20.69/21.08 end
% 20.69/21.08 permutation0:
% 20.69/21.08 0 ==> 0
% 20.69/21.08 end
% 20.69/21.08
% 20.69/21.08 resolution: (74361) {G2,W10,D2,L2,V3,M2} { cyclic( skol23, X, Y, Z ), !
% 20.69/21.08 cyclic( skol23, skol23, Z, X ) }.
% 20.69/21.08 parent0[0]: (457) {G1,W15,D2,L3,V5,M3} R(16,13) { ! cyclic( X, Y, Z, T ),
% 20.69/21.08 cyclic( Y, Z, T, U ), ! cyclic( X, Y, U, Z ) }.
% 20.69/21.08 parent1[0]: (61016) {G12,W5,D2,L1,V2,M1} R(61010,457);r(61011) { cyclic(
% 20.69/21.08 skol23, skol23, X, Y ) }.
% 20.69/21.08 substitution0:
% 20.69/21.08 X := skol23
% 20.69/21.08 Y := skol23
% 20.69/21.08 Z := X
% 20.69/21.08 T := Y
% 20.69/21.08 U := Z
% 20.69/21.08 end
% 20.69/21.08 substitution1:
% 20.69/21.08 X := X
% 20.69/21.08 Y := Y
% 20.69/21.08 end
% 20.69/21.08
% 20.69/21.08 resolution: (74363) {G3,W5,D2,L1,V3,M1} { cyclic( skol23, X, Y, Z ) }.
% 20.69/21.08 parent0[1]: (74361) {G2,W10,D2,L2,V3,M2} { cyclic( skol23, X, Y, Z ), !
% 20.69/21.08 cyclic( skol23, skol23, Z, X ) }.
% 20.69/21.08 parent1[0]: (61016) {G12,W5,D2,L1,V2,M1} R(61010,457);r(61011) { cyclic(
% 20.69/21.08 skol23, skol23, X, Y ) }.
% 20.69/21.08 substitution0:
% 20.69/21.08 X := X
% 20.69/21.08 Y := Y
% 20.69/21.08 Z := Z
% 20.69/21.08 end
% 20.69/21.08 substitution1:
% 20.69/21.08 X := Z
% 20.69/21.08 Y := X
% 20.69/21.08 end
% 20.69/21.08
% 20.69/21.08 subsumption: (62242) {G13,W5,D2,L1,V3,M1} R(61016,457);r(61016) { cyclic(
% 20.69/21.08 skol23, X, Y, Z ) }.
% 20.69/21.08 parent0: (74363) {G3,W5,D2,L1,V3,M1} { cyclic( skol23, X, Y, Z ) }.
% 20.69/21.08 substitution0:
% 20.69/21.08 X := X
% 20.69/21.08 Y := Y
% 20.69/21.08 Z := Z
% 20.69/21.08 end
% 20.69/21.08 permutation0:
% 20.69/21.08 0 ==> 0
% 20.69/21.08 end
% 20.69/21.08
% 20.69/21.08 resolution: (74364) {G2,W10,D2,L2,V4,M2} { cyclic( X, Y, Z, T ), ! cyclic
% 20.69/21.08 ( skol23, X, T, Y ) }.
% 20.69/21.08 parent0[0]: (457) {G1,W15,D2,L3,V5,M3} R(16,13) { ! cyclic( X, Y, Z, T ),
% 20.69/21.08 cyclic( Y, Z, T, U ), ! cyclic( X, Y, U, Z ) }.
% 20.69/21.08 parent1[0]: (62242) {G13,W5,D2,L1,V3,M1} R(61016,457);r(61016) { cyclic(
% 20.69/21.08 skol23, X, Y, Z ) }.
% 20.69/21.08 substitution0:
% 20.69/21.08 X := skol23
% 20.69/21.08 Y := X
% 20.69/21.08 Z := Y
% 20.69/21.08 T := Z
% 20.69/21.08 U := T
% 20.69/21.08 end
% 20.69/21.08 substitution1:
% 20.69/21.08 X := X
% 20.69/21.08 Y := Y
% 20.69/21.08 Z := Z
% 20.69/21.08 end
% 20.69/21.08
% 20.69/21.08 resolution: (74366) {G3,W5,D2,L1,V4,M1} { cyclic( X, Y, Z, T ) }.
% 20.69/21.08 parent0[1]: (74364) {G2,W10,D2,L2,V4,M2} { cyclic( X, Y, Z, T ), ! cyclic
% 20.69/21.08 ( skol23, X, T, Y ) }.
% 20.69/21.08 parent1[0]: (62242) {G13,W5,D2,L1,V3,M1} R(61016,457);r(61016) { cyclic(
% 20.69/21.08 skol23, X, Y, Z ) }.
% 20.69/21.08 substitution0:
% 20.69/21.08 X := X
% 20.69/21.08 Y := Y
% 20.69/21.08 Z := Z
% 20.69/21.08 T := T
% 20.69/21.08 end
% 20.69/21.08 substitution1:
% 20.69/21.08 X := X
% 20.69/21.08 Y := T
% 20.69/21.08 Z := Y
% 20.69/21.08 end
% 20.69/21.08
% 20.69/21.08 subsumption: (62259) {G14,W5,D2,L1,V4,M1} R(62242,457);r(62242) { cyclic( X
% 20.69/21.08 , Y, Z, T ) }.
% 20.69/21.08 parent0: (74366) {G3,W5,D2,L1,V4,M1} { cyclic( X, Y, Z, T ) }.
% 20.69/21.08 substitution0:
% 20.69/21.08 X := X
% 20.69/21.08 Y := Y
% 20.69/21.08 Z := Z
% 20.69/21.08 T := T
% 20.69/21.08 end
% 20.69/21.08 permutation0:
% 20.69/21.08 0 ==> 0
% 20.69/21.08 end
% 20.69/21.08
% 20.69/21.08 resolution: (74369) {G3,W10,D2,L2,V3,M2} { ! cyclic( X, Y, Z, Y ), cong( X
% 20.69/21.08 , Y, X, Y ) }.
% 20.69/21.08 parent0[0]: (1037) {G2,W15,D2,L3,V3,M3} F(1005) { ! cyclic( X, Y, Z, X ), !
% 20.69/21.08 cyclic( X, Y, Z, Y ), cong( X, Y, X, Y ) }.
% 20.69/21.08 parent1[0]: (62259) {G14,W5,D2,L1,V4,M1} R(62242,457);r(62242) { cyclic( X
% 20.69/21.08 , Y, Z, T ) }.
% 20.69/21.08 substitution0:
% 20.69/21.08 X := X
% 20.69/21.08 Y := Y
% 20.69/21.08 Z := Z
% 20.69/21.08 end
% 20.69/21.08 substitution1:
% 20.69/21.08 X := X
% 20.69/21.08 Y := Y
% 20.69/21.08 Z := Z
% 20.69/21.08 T := X
% 20.69/21.08 end
% 20.69/21.08
% 20.69/21.08 resolution: (74371) {G4,W5,D2,L1,V2,M1} { cong( X, Y, X, Y ) }.
% 20.69/21.08 parent0[0]: (74369) {G3,W10,D2,L2,V3,M2} { ! cyclic( X, Y, Z, Y ), cong( X
% 20.69/21.08 , Y, X, Y ) }.
% 20.69/21.08 parent1[0]: (62259) {G14,W5,D2,L1,V4,M1} R(62242,457);r(62242) { cyclic( X
% 20.69/21.08 , Y, Z, T ) }.
% 20.69/21.08 substitution0:
% 20.69/21.08 X := X
% 20.69/21.08 Y := Y
% 20.69/21.08 Z := Z
% 20.69/21.08 end
% 20.69/21.08 substitution1:
% 20.69/21.08 X := X
% 20.69/21.08 Y := Y
% 20.69/21.08 Z := Z
% 20.69/21.08 T := Y
% 20.69/21.08 end
% 20.69/21.08
% 20.69/21.08 subsumption: (73677) {G15,W5,D2,L1,V2,M1} S(1037);r(62259);r(62259) { cong
% 20.69/21.08 ( X, Y, X, Y ) }.
% 20.69/21.08 parent0: (74371) {G4,W5,D2,L1,V2,M1} { cong( X, Y, X, Y ) }.
% 20.69/21.08 substitution0:
% 20.69/21.08 X := X
% 20.69/21.08 Y := Y
% 20.69/21.08 end
% 20.69/21.08 permutation0:
% 20.69/21.08 0 ==> 0
% 20.69/21.08 end
% 20.69/21.08
% 20.69/21.08 resolution: (74372) {G1,W10,D2,L2,V3,M2} { ! cong( X, Z, X, Z ), perp( X,
% 20.69/21.08 X, Y, Z ) }.
% 20.69/21.08 parent0[0]: (56) {G0,W15,D2,L3,V4,M3} I { ! cong( X, Z, Y, Z ), ! cong( X,
% 20.69/21.08 T, Y, T ), perp( X, Y, Z, T ) }.
% 20.69/21.08 parent1[0]: (73677) {G15,W5,D2,L1,V2,M1} S(1037);r(62259);r(62259) { cong(
% 20.69/21.08 X, Y, X, Y ) }.
% 20.69/21.08 substitution0:
% 20.69/21.08 X := X
% 20.69/21.08 Y := X
% 20.69/21.08 Z := Y
% 20.69/21.08 T := Z
% 20.69/21.08 end
% 20.69/21.08 substitution1:
% 20.69/21.08 X := X
% 20.69/21.08 Y := Y
% 20.69/21.08 end
% 20.69/21.08
% 20.69/21.08 resolution: (74374) {G2,W5,D2,L1,V3,M1} { perp( X, X, Z, Y ) }.
% 20.69/21.08 parent0[0]: (74372) {G1,W10,D2,L2,V3,M2} { ! cong( X, Z, X, Z ), perp( X,
% 20.69/21.08 X, Y, Z ) }.
% 20.69/21.08 parent1[0]: (73677) {G15,W5,D2,L1,V2,M1} S(1037);r(62259);r(62259) { cong(
% 20.69/21.08 X, Y, X, Y ) }.
% 20.69/21.08 substitution0:
% 20.69/21.08 X := X
% 20.69/21.08 Y := Z
% 20.69/21.08 Z := Y
% 20.69/21.08 end
% 20.69/21.08 substitution1:
% 20.69/21.08 X := X
% 20.69/21.08 Y := Y
% 20.69/21.08 end
% 20.69/21.08
% 20.69/21.08 subsumption: (73694) {G16,W5,D2,L1,V3,M1} R(73677,56);r(73677) { perp( X, X
% 20.69/21.08 , Z, Y ) }.
% 20.69/21.08 parent0: (74374) {G2,W5,D2,L1,V3,M1} { perp( X, X, Z, Y ) }.
% 20.69/21.08 substitution0:
% 20.69/21.08 X := X
% 20.69/21.08 Y := Y
% 20.69/21.08 Z := Z
% 20.69/21.08 end
% 20.69/21.08 permutation0:
% 20.69/21.08 0 ==> 0
% 20.69/21.08 end
% 20.69/21.08
% 20.69/21.08 resolution: (74375) {G2,W10,D2,L2,V5,M2} { para( T, U, Y, Z ), ! perp( X,
% 20.69/21.08 X, T, U ) }.
% 20.69/21.08 parent0[0]: (287) {G1,W15,D2,L3,V6,M3} R(8,7) { ! perp( X, Y, Z, T ), para
% 20.69/21.08 ( U, W, Z, T ), ! perp( X, Y, U, W ) }.
% 20.69/21.08 parent1[0]: (73694) {G16,W5,D2,L1,V3,M1} R(73677,56);r(73677) { perp( X, X
% 20.69/21.08 , Z, Y ) }.
% 20.69/21.08 substitution0:
% 20.69/21.08 X := X
% 20.69/21.08 Y := X
% 20.69/21.08 Z := Y
% 20.69/21.08 T := Z
% 20.69/21.08 U := T
% 20.69/21.08 W := U
% 20.69/21.08 end
% 20.69/21.08 substitution1:
% 20.69/21.08 X := X
% 20.69/21.08 Y := Z
% 20.69/21.08 Z := Y
% 20.69/21.08 end
% 20.69/21.08
% 20.69/21.08 resolution: (74377) {G3,W5,D2,L1,V4,M1} { para( X, Y, Z, T ) }.
% 20.69/21.08 parent0[1]: (74375) {G2,W10,D2,L2,V5,M2} { para( T, U, Y, Z ), ! perp( X,
% 20.69/21.08 X, T, U ) }.
% 20.69/21.08 parent1[0]: (73694) {G16,W5,D2,L1,V3,M1} R(73677,56);r(73677) { perp( X, X
% 20.69/21.08 , Z, Y ) }.
% 20.69/21.08 substitution0:
% 20.69/21.08 X := U
% 20.69/21.08 Y := Z
% 20.69/21.08 Z := T
% 20.69/21.08 T := X
% 20.69/21.08 U := Y
% 20.69/21.08 end
% 20.69/21.08 substitution1:
% 20.69/21.08 X := U
% 20.69/21.08 Y := Y
% 20.69/21.08 Z := X
% 20.69/21.08 end
% 20.69/21.08
% 20.69/21.08 subsumption: (73735) {G17,W5,D2,L1,V4,M1} R(73694,287);r(73694) { para( X,
% 20.69/21.08 Y, Z, T ) }.
% 20.69/21.08 parent0: (74377) {G3,W5,D2,L1,V4,M1} { para( X, Y, Z, T ) }.
% 20.69/21.08 substitution0:
% 20.69/21.08 X := X
% 20.69/21.08 Y := Y
% 20.69/21.08 Z := Z
% 20.69/21.08 T := T
% 20.69/21.08 end
% 20.69/21.08 permutation0:
% 20.69/21.08 0 ==> 0
% 20.69/21.08 end
% 20.69/21.08
% 20.69/21.08 resolution: (74378) {G3,W5,D2,L1,V2,M1} { ! para( X, Y, skol22, skol23 )
% 20.69/21.08 }.
% 20.69/21.08 parent0[0]: (271) {G2,W10,D2,L2,V2,M2} R(229,5) { ! para( skol24, skol20, X
% 20.69/21.08 , Y ), ! para( X, Y, skol22, skol23 ) }.
% 20.69/21.08 parent1[0]: (73735) {G17,W5,D2,L1,V4,M1} R(73694,287);r(73694) { para( X, Y
% 20.69/21.08 , Z, T ) }.
% 20.69/21.08 substitution0:
% 20.69/21.08 X := X
% 20.69/21.08 Y := Y
% 20.69/21.08 end
% 20.69/21.08 substitution1:
% 20.69/21.08 X := skol24
% 20.69/21.08 Y := skol20
% 20.69/21.08 Z := X
% 20.69/21.08 T := Y
% 20.69/21.08 end
% 20.69/21.08
% 20.69/21.08 resolution: (74380) {G4,W0,D0,L0,V0,M0} { }.
% 20.69/21.08 parent0[0]: (74378) {G3,W5,D2,L1,V2,M1} { ! para( X, Y, skol22, skol23 )
% 20.69/21.08 }.
% 20.69/21.08 parent1[0]: (73735) {G17,W5,D2,L1,V4,M1} R(73694,287);r(73694) { para( X, Y
% 20.69/21.08 , Z, T ) }.
% 20.69/21.08 substitution0:
% 20.69/21.08 X := X
% 20.69/21.08 Y := Y
% 20.69/21.08 end
% 20.69/21.08 substitution1:
% 20.69/21.08 X := X
% 20.69/21.08 Y := Y
% 20.69/21.08 Z := skol22
% 20.69/21.08 T := skol23
% 20.69/21.08 end
% 20.69/21.08
% 20.69/21.08 subsumption: (73907) {G18,W0,D0,L0,V0,M0} R(73735,271);r(73735) { }.
% 20.69/21.08 parent0: (74380) {G4,W0,D0,L0,V0,M0} { }.
% 20.69/21.08 substitution0:
% 20.69/21.08 end
% 20.69/21.08 permutation0:
% 20.69/21.08 end
% 20.69/21.08
% 20.69/21.08 Proof check complete!
% 20.69/21.08
% 20.69/21.08 Memory use:
% 20.69/21.08
% 20.69/21.08 space for terms: 991103
% 20.69/21.08 space for clauses: 3212855
% 20.69/21.08
% 20.69/21.08
% 20.69/21.08 clauses generated: 467936
% 20.69/21.08 clauses kept: 73908
% 20.69/21.08 clauses selected: 3637
% 20.69/21.08 clauses deleted: 7680
% 20.69/21.08 clauses inuse deleted: 183
% 20.69/21.08
% 20.69/21.08 subsentry: 24802617
% 20.69/21.08 literals s-matched: 14279550
% 20.69/21.08 literals matched: 7796730
% 20.69/21.08 full subsumption: 2378093
% 20.69/21.08
% 20.69/21.08 checksum: -2053484538
% 20.69/21.08
% 20.69/21.08
% 20.69/21.08 Bliksem ended
%------------------------------------------------------------------------------