TSTP Solution File: GEO553+1 by Bliksem---1.12
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- Process Solution
%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : GEO553+1 : TPTP v8.1.0. Released v7.5.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n013.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 0s
% DateTime : Sat Jul 16 02:54:41 EDT 2022
% Result : Theorem 26.21s 26.59s
% Output : Refutation 26.21s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.13 % Problem : GEO553+1 : TPTP v8.1.0. Released v7.5.0.
% 0.03/0.13 % Command : bliksem %s
% 0.12/0.35 % Computer : n013.cluster.edu
% 0.12/0.35 % Model : x86_64 x86_64
% 0.12/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.35 % Memory : 8042.1875MB
% 0.12/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.35 % CPULimit : 300
% 0.12/0.35 % DateTime : Sat Jun 18 16:06:44 EDT 2022
% 0.12/0.35 % CPUTime :
% 0.78/1.18 *** allocated 10000 integers for termspace/termends
% 0.78/1.18 *** allocated 10000 integers for clauses
% 0.78/1.18 *** allocated 10000 integers for justifications
% 0.78/1.18 Bliksem 1.12
% 0.78/1.18
% 0.78/1.18
% 0.78/1.18 Automatic Strategy Selection
% 0.78/1.18
% 0.78/1.18 *** allocated 15000 integers for termspace/termends
% 0.78/1.18
% 0.78/1.18 Clauses:
% 0.78/1.18
% 0.78/1.18 { ! coll( X, Y, Z ), coll( X, Z, Y ) }.
% 0.78/1.18 { ! coll( X, Y, Z ), coll( Y, X, Z ) }.
% 0.78/1.18 { ! coll( X, T, Y ), ! coll( X, T, Z ), coll( Y, Z, X ) }.
% 0.78/1.18 { ! para( X, Y, Z, T ), para( X, Y, T, Z ) }.
% 0.78/1.18 { ! para( X, Y, Z, T ), para( Z, T, X, Y ) }.
% 0.78/1.18 { ! para( X, Y, U, W ), ! para( U, W, Z, T ), para( X, Y, Z, T ) }.
% 0.78/1.18 { ! perp( X, Y, Z, T ), perp( X, Y, T, Z ) }.
% 0.78/1.18 { ! perp( X, Y, Z, T ), perp( Z, T, X, Y ) }.
% 0.78/1.18 { ! perp( X, Y, U, W ), ! perp( U, W, Z, T ), para( X, Y, Z, T ) }.
% 0.78/1.18 { ! para( X, Y, U, W ), ! perp( U, W, Z, T ), perp( X, Y, Z, T ) }.
% 0.78/1.18 { ! midp( Z, Y, X ), midp( Z, X, Y ) }.
% 0.78/1.18 { ! cong( T, X, T, Y ), ! cong( T, X, T, Z ), circle( T, X, Y, Z ) }.
% 0.78/1.18 { ! cong( U, X, U, Y ), ! cong( U, X, U, Z ), ! cong( U, X, U, T ), cyclic
% 0.78/1.18 ( X, Y, Z, T ) }.
% 0.78/1.18 { ! cyclic( X, Y, Z, T ), cyclic( X, Y, T, Z ) }.
% 0.78/1.18 { ! cyclic( X, Y, Z, T ), cyclic( X, Z, Y, T ) }.
% 0.78/1.18 { ! cyclic( X, Y, Z, T ), cyclic( Y, X, Z, T ) }.
% 0.78/1.18 { ! cyclic( U, X, Y, Z ), ! cyclic( U, X, Y, T ), cyclic( X, Y, Z, T ) }.
% 0.78/1.18 { ! eqangle( X, Y, Z, T, U, W, V0, V1 ), eqangle( Y, X, Z, T, U, W, V0, V1
% 0.78/1.18 ) }.
% 0.78/1.18 { ! eqangle( X, Y, Z, T, U, W, V0, V1 ), eqangle( Z, T, X, Y, V0, V1, U, W
% 0.78/1.18 ) }.
% 0.78/1.18 { ! eqangle( X, Y, Z, T, U, W, V0, V1 ), eqangle( U, W, V0, V1, X, Y, Z, T
% 0.78/1.18 ) }.
% 0.78/1.18 { ! eqangle( X, Y, Z, T, U, W, V0, V1 ), eqangle( X, Y, U, W, Z, T, V0, V1
% 0.78/1.18 ) }.
% 0.78/1.18 { ! eqangle( X, Y, Z, T, V2, V3, V4, V5 ), ! eqangle( V2, V3, V4, V5, U, W
% 0.78/1.18 , V0, V1 ), eqangle( X, Y, Z, T, U, W, V0, V1 ) }.
% 0.78/1.18 { ! cong( X, Y, Z, T ), cong( X, Y, T, Z ) }.
% 0.78/1.18 { ! cong( X, Y, Z, T ), cong( Z, T, X, Y ) }.
% 0.78/1.18 { ! cong( X, Y, U, W ), ! cong( U, W, Z, T ), cong( X, Y, Z, T ) }.
% 0.78/1.18 { ! eqratio( X, Y, Z, T, U, W, V0, V1 ), eqratio( Y, X, Z, T, U, W, V0, V1
% 0.78/1.18 ) }.
% 0.78/1.18 { ! eqratio( X, Y, Z, T, U, W, V0, V1 ), eqratio( Z, T, X, Y, V0, V1, U, W
% 0.78/1.18 ) }.
% 0.78/1.18 { ! eqratio( X, Y, Z, T, U, W, V0, V1 ), eqratio( U, W, V0, V1, X, Y, Z, T
% 0.78/1.18 ) }.
% 0.78/1.18 { ! eqratio( X, Y, Z, T, U, W, V0, V1 ), eqratio( X, Y, U, W, Z, T, V0, V1
% 0.78/1.18 ) }.
% 0.78/1.18 { ! eqratio( X, Y, Z, T, V2, V3, V4, V5 ), ! eqratio( V2, V3, V4, V5, U, W
% 0.78/1.18 , V0, V1 ), eqratio( X, Y, Z, T, U, W, V0, V1 ) }.
% 0.78/1.18 { ! simtri( X, Z, Y, T, W, U ), simtri( X, Y, Z, T, U, W ) }.
% 0.78/1.18 { ! simtri( Y, X, Z, U, T, W ), simtri( X, Y, Z, T, U, W ) }.
% 0.78/1.18 { ! simtri( T, U, W, X, Y, Z ), simtri( X, Y, Z, T, U, W ) }.
% 0.78/1.18 { ! simtri( X, Y, Z, V0, V1, V2 ), ! simtri( V0, V1, V2, T, U, W ), simtri
% 0.78/1.18 ( X, Y, Z, T, U, W ) }.
% 0.78/1.18 { ! contri( X, Z, Y, T, W, U ), contri( X, Y, Z, T, U, W ) }.
% 0.78/1.18 { ! contri( Y, X, Z, U, T, W ), contri( X, Y, Z, T, U, W ) }.
% 0.78/1.18 { ! contri( T, U, W, X, Y, Z ), contri( X, Y, Z, T, U, W ) }.
% 0.78/1.18 { ! contri( X, Y, Z, V0, V1, V2 ), ! contri( V0, V1, V2, T, U, W ), contri
% 0.78/1.18 ( X, Y, Z, T, U, W ) }.
% 0.78/1.18 { ! eqangle( X, Y, U, W, Z, T, U, W ), para( X, Y, Z, T ) }.
% 0.78/1.18 { ! para( X, Y, Z, T ), eqangle( X, Y, U, W, Z, T, U, W ) }.
% 0.78/1.18 { ! cyclic( X, Y, Z, T ), eqangle( Z, X, Z, Y, T, X, T, Y ) }.
% 0.78/1.18 { ! eqangle( Z, X, Z, Y, T, X, T, Y ), coll( Z, T, X ), cyclic( X, Y, Z, T
% 0.78/1.18 ) }.
% 0.78/1.18 { ! eqangle( Z, X, Z, Y, T, X, T, Y ), ! coll( Z, T, Y ), cyclic( X, Y, Z,
% 0.78/1.18 T ) }.
% 0.78/1.18 { ! cyclic( X, Y, U, Z ), ! cyclic( X, Y, U, T ), ! cyclic( X, Y, U, W ), !
% 0.78/1.18 eqangle( U, X, U, Y, W, Z, W, T ), cong( X, Y, Z, T ) }.
% 0.78/1.18 { ! midp( Z, U, X ), ! midp( T, U, Y ), para( Z, T, X, Y ) }.
% 0.78/1.18 { ! midp( U, X, T ), ! para( U, Z, T, Y ), ! coll( Z, X, Y ), midp( Z, X, Y
% 0.78/1.18 ) }.
% 0.78/1.18 { ! cong( Z, X, Z, Y ), eqangle( Z, X, X, Y, X, Y, Z, Y ) }.
% 0.78/1.18 { ! eqangle( Z, X, X, Y, X, Y, Z, Y ), coll( Z, X, Y ), cong( Z, X, Z, Y )
% 0.78/1.18 }.
% 0.78/1.18 { ! circle( U, X, Y, Z ), ! perp( U, X, X, T ), eqangle( X, T, X, Y, Z, X,
% 0.78/1.18 Z, Y ) }.
% 0.78/1.18 { ! circle( Y, X, T, U ), ! eqangle( X, Z, X, T, U, X, U, T ), perp( Y, X,
% 0.78/1.18 X, Z ) }.
% 0.78/1.18 { ! circle( T, X, Y, Z ), ! midp( U, Y, Z ), eqangle( X, Y, X, Z, T, Y, T,
% 0.78/1.18 U ) }.
% 0.78/1.18 { ! circle( U, T, X, Y ), ! coll( Z, X, Y ), ! eqangle( T, X, T, Y, U, X, U
% 0.78/1.18 , Z ), midp( Z, X, Y ) }.
% 0.78/1.18 { ! perp( X, Y, Y, T ), ! midp( Z, X, T ), cong( X, Z, Y, Z ) }.
% 0.78/1.18 { ! circle( T, X, Y, Z ), ! coll( T, X, Z ), perp( X, Y, Y, Z ) }.
% 0.78/1.18 { ! cyclic( X, Y, Z, T ), ! para( X, Y, Z, T ), eqangle( X, T, Z, T, Z, T,
% 0.78/1.18 Z, Y ) }.
% 0.78/1.18 { ! midp( T, X, Y ), ! perp( Z, T, X, Y ), cong( Z, X, Z, Y ) }.
% 0.78/1.18 { ! cong( X, Z, Y, Z ), ! cong( X, T, Y, T ), perp( X, Y, Z, T ) }.
% 0.78/1.18 { ! cong( X, Y, T, Y ), ! cong( X, Z, T, Z ), ! cyclic( X, T, Y, Z ), perp
% 0.78/1.18 ( Y, X, X, Z ) }.
% 0.78/1.18 { ! eqangle( X, Y, Y, Z, T, U, U, W ), ! eqangle( X, Z, Y, Z, T, W, U, W )
% 0.78/1.18 , coll( X, Y, Z ), simtri( X, Y, Z, T, U, W ) }.
% 0.78/1.18 { ! simtri( X, Y, Z, T, U, W ), eqratio( X, Y, X, Z, T, U, T, W ) }.
% 0.78/1.18 { ! simtri( X, Y, Z, T, U, W ), eqangle( X, Y, Y, Z, T, U, U, W ) }.
% 0.78/1.18 { ! simtri( X, Y, Z, T, U, W ), ! cong( X, Y, T, U ), contri( X, Y, Z, T, U
% 0.78/1.18 , W ) }.
% 0.78/1.18 { ! contri( X, Y, U, Z, T, W ), cong( X, Y, Z, T ) }.
% 0.78/1.18 { ! midp( U, X, Y ), ! midp( U, Z, T ), para( X, Z, Y, T ) }.
% 0.78/1.18 { ! midp( Z, T, U ), ! para( T, X, U, Y ), ! para( T, Y, U, X ), midp( Z, X
% 0.78/1.18 , Y ) }.
% 0.78/1.18 { ! para( X, Y, Z, T ), ! coll( U, X, Z ), ! coll( U, Y, T ), eqratio( U, X
% 0.78/1.18 , X, Z, U, Y, Y, T ) }.
% 0.78/1.18 { ! para( X, Y, X, Z ), coll( X, Y, Z ) }.
% 0.78/1.18 { ! cong( X, Y, X, Z ), ! coll( X, Y, Z ), midp( X, Y, Z ) }.
% 0.78/1.18 { ! midp( X, Y, Z ), cong( X, Y, X, Z ) }.
% 0.78/1.18 { ! midp( X, Y, Z ), coll( X, Y, Z ) }.
% 0.78/1.18 { ! midp( U, X, Y ), ! midp( W, Z, T ), eqratio( U, X, X, Y, W, Z, Z, T ) }
% 0.78/1.18 .
% 0.78/1.18 { ! eqangle( X, Y, Z, T, Z, T, X, Y ), para( X, Y, Z, T ), perp( X, Y, Z, T
% 0.78/1.18 ) }.
% 0.78/1.18 { ! eqangle( X, Y, Z, T, Z, T, X, Y ), perp( X, Y, Z, T ), para( X, Y, Z, T
% 0.78/1.18 ) }.
% 0.78/1.18 { ! eqangle( X, Y, Z, T, U, W, V0, V1 ), ! para( U, W, V0, V1 ), para( X, Y
% 0.78/1.18 , Z, T ) }.
% 0.78/1.18 { ! eqangle( X, Y, Z, T, U, W, V0, V1 ), ! perp( U, W, V0, V1 ), perp( X, Y
% 0.78/1.18 , Z, T ) }.
% 0.78/1.18 { ! eqratio( X, Y, Z, T, U, W, V0, V1 ), ! cong( U, W, V0, V1 ), cong( X, Y
% 0.78/1.18 , Z, T ) }.
% 0.78/1.18 { ! perp( Z, Y, Y, X ), ! eqangle( T, Z, Y, Z, Y, Z, X, Z ), coll( skol1( U
% 0.78/1.18 , W, Z, T ), Z, T ) }.
% 0.78/1.18 { ! perp( Z, Y, Y, X ), ! eqangle( T, Z, Y, Z, Y, Z, X, Z ), coll( skol1( X
% 0.78/1.18 , Y, Z, T ), X, Y ) }.
% 0.78/1.18 { ! cong( Z, X, Z, Y ), ! eqangle( X, Z, Z, T, Z, T, Z, Y ), coll( skol2( U
% 0.78/1.18 , W, Z, T ), Z, T ) }.
% 0.78/1.18 { ! cong( Z, X, Z, Y ), ! eqangle( X, Z, Z, T, Z, T, Z, Y ), coll( Y, X,
% 0.78/1.18 skol2( X, Y, Z, T ) ) }.
% 0.78/1.18 { ! perp( Z, T, X, Y ), ! eqangle( X, Z, Z, T, Z, T, Z, Y ), coll( skol3( U
% 0.78/1.18 , W, Z, T ), Z, T ) }.
% 0.78/1.18 { ! perp( Z, T, X, Y ), ! eqangle( X, Z, Z, T, Z, T, Z, Y ), coll( Y, X,
% 0.78/1.18 skol3( X, Y, Z, T ) ) }.
% 0.78/1.18 { ! perp( Z, T, X, Y ), ! cong( Z, X, Z, Y ), coll( skol4( U, W, Z, T ), Z
% 0.78/1.18 , T ) }.
% 0.78/1.18 { ! perp( Z, T, X, Y ), ! cong( Z, X, Z, Y ), coll( Y, X, skol4( X, Y, Z, T
% 0.78/1.18 ) ) }.
% 0.78/1.18 { ! eqangle( X, Z, Y, Z, X, T, Y, U ), coll( X, Y, Z ), cyclic( T, Y, Z,
% 0.78/1.18 skol5( W, Y, Z, T ) ) }.
% 0.78/1.18 { ! eqangle( X, Z, Y, Z, X, T, Y, U ), coll( X, Y, Z ), eqangle( X, Z, Y, Z
% 0.78/1.18 , X, skol5( X, Y, Z, T ), Y, skol5( X, Y, Z, T ) ) }.
% 0.78/1.18 { ! midp( U, X, Y ), ! midp( W, Z, T ), midp( skol6( X, V0, V1, T, V2, V3 )
% 0.78/1.18 , X, T ) }.
% 0.78/1.18 { ! midp( U, X, Y ), ! midp( W, Z, T ), para( skol6( X, V0, Z, T, V1, W ),
% 0.78/1.18 W, X, Z ) }.
% 0.78/1.18 { ! midp( U, X, Y ), ! midp( W, Z, T ), para( skol6( X, Y, Z, T, U, W ), U
% 0.78/1.18 , Y, T ) }.
% 0.78/1.18 { ! midp( Z, X, Y ), ! midp( W, T, U ), ! coll( T, X, Y ), ! coll( U, X, Y
% 0.78/1.18 ), midp( skol7( X, V0 ), X, V0 ) }.
% 0.78/1.18 { ! midp( T, X, U ), ! para( X, W, Z, T ), ! para( X, W, U, Y ), ! coll( W
% 0.78/1.18 , Y, Z ), coll( skol8( V0, V1, Z, T ), T, Z ) }.
% 0.78/1.18 { ! midp( T, X, U ), ! para( X, W, Z, T ), ! para( X, W, U, Y ), ! coll( W
% 0.78/1.18 , Y, Z ), coll( skol8( X, Y, Z, T ), X, Y ) }.
% 0.78/1.18 { ! cong( T, Z, T, U ), ! perp( X, Y, Y, T ), cong( T, Z, T, skol9( W, V0,
% 0.78/1.18 Z, T ) ) }.
% 0.78/1.18 { ! cong( T, Z, T, U ), ! perp( X, Y, Y, T ), cong( Y, Z, Y, skol9( W, Y, Z
% 0.78/1.18 , T ) ) }.
% 0.78/1.18 { ! cong( T, Z, T, U ), ! perp( X, Y, Y, T ), para( skol9( X, Y, Z, T ), Z
% 0.78/1.18 , X, Y ) }.
% 0.78/1.18 { ! perp( X, T, Y, Z ), ! perp( Y, T, X, Z ), coll( skol10( U, Y, Z ), Z, Y
% 0.78/1.18 ) }.
% 0.78/1.18 { ! perp( X, T, Y, Z ), ! perp( Y, T, X, Z ), perp( X, skol10( X, Y, Z ), Z
% 0.78/1.18 , Y ) }.
% 0.78/1.18 { ! perp( X, T, Y, Z ), ! perp( Y, T, X, Z ), alpha1( X, Y, Z ) }.
% 0.78/1.18 { ! alpha1( X, Y, Z ), coll( skol11( X, T, Z ), Z, X ) }.
% 0.78/1.18 { ! alpha1( X, Y, Z ), perp( Y, skol11( X, Y, Z ), Z, X ) }.
% 0.78/1.18 { ! coll( T, Z, X ), ! perp( Y, T, Z, X ), alpha1( X, Y, Z ) }.
% 0.78/1.18 { ! circle( Y, X, Z, T ), perp( skol12( X, Y ), X, X, Y ) }.
% 5.31/5.69 { ! circle( W, X, Y, Z ), ! cong( W, X, W, T ), ! cong( U, X, U, Y ), W = U
% 5.31/5.69 , alpha2( X, Z, U, skol13( X, V0, Z, V1, U ) ) }.
% 5.31/5.69 { ! circle( W, X, Y, Z ), ! cong( W, X, W, T ), ! cong( U, X, U, Y ), W = U
% 5.31/5.69 , coll( skol21( V0, Y, T, V1 ), Y, T ) }.
% 5.31/5.69 { ! circle( W, X, Y, Z ), ! cong( W, X, W, T ), ! cong( U, X, U, Y ), W = U
% 5.31/5.69 , cong( skol21( X, Y, T, U ), U, U, X ) }.
% 5.31/5.69 { ! alpha2( X, Y, Z, T ), coll( T, X, Y ) }.
% 5.31/5.69 { ! alpha2( X, Y, Z, T ), cong( T, Z, Z, X ) }.
% 5.31/5.69 { ! coll( T, X, Y ), ! cong( T, Z, Z, X ), alpha2( X, Y, Z, T ) }.
% 5.31/5.69 { ! cyclic( X, Y, Z, T ), ! para( X, Y, Z, T ), ! midp( U, X, Y ), circle(
% 5.31/5.69 skol14( X, Y, Z ), X, Y, Z ) }.
% 5.31/5.69 { ! perp( X, Z, Z, Y ), ! cyclic( X, Y, Z, T ), circle( skol15( X, Y, Z ),
% 5.31/5.69 X, Y, Z ) }.
% 5.31/5.69 { ! perp( X, U, U, T ), ! coll( T, Y, Z ), coll( skol16( W, Y, Z ), Y, Z )
% 5.31/5.69 }.
% 5.31/5.69 { ! perp( X, U, U, T ), ! coll( T, Y, Z ), perp( skol16( X, Y, Z ), X, Y, Z
% 5.31/5.69 ) }.
% 5.31/5.69 { ! perp( X, Z, X, Y ), ! perp( Y, X, Y, T ), ! midp( U, Z, T ), midp(
% 5.31/5.69 skol17( X, Y ), X, Y ) }.
% 5.31/5.69 { ! cong( Y, X, Y, Z ), ! perp( X, Y, Y, Z ), coll( X, Y, skol18( X, Y ) )
% 5.31/5.69 }.
% 5.31/5.69 { ! cong( Y, X, Y, Z ), ! perp( X, Y, Y, Z ), cong( Y, X, Y, skol18( X, Y )
% 5.31/5.69 ) }.
% 5.31/5.69 { ! para( U, W, X, Y ), ! coll( Z, U, X ), ! coll( Z, W, Y ), ! coll( T, U
% 5.31/5.69 , W ), coll( Z, T, skol19( V0, V1, Z, T ) ) }.
% 5.31/5.69 { ! para( U, W, X, Y ), ! coll( Z, U, X ), ! coll( Z, W, Y ), ! coll( T, U
% 5.31/5.69 , W ), coll( skol19( X, Y, Z, T ), X, Y ) }.
% 5.31/5.69 { para( skol25, skol26, skol27, skol28 ) }.
% 5.31/5.69 { para( skol25, skol27, skol26, skol28 ) }.
% 5.31/5.69 { perp( skol20, skol26, skol25, skol27 ) }.
% 5.31/5.69 { coll( skol20, skol25, skol27 ) }.
% 5.31/5.69 { perp( skol22, skol25, skol26, skol28 ) }.
% 5.31/5.69 { coll( skol22, skol26, skol28 ) }.
% 5.31/5.69 { perp( skol23, skol28, skol25, skol27 ) }.
% 5.31/5.69 { coll( skol23, skol25, skol27 ) }.
% 5.31/5.69 { perp( skol24, skol27, skol26, skol28 ) }.
% 5.31/5.69 { coll( skol24, skol26, skol28 ) }.
% 5.31/5.69 { ! para( skol20, skol22, skol23, skol24 ) }.
% 5.31/5.69
% 5.31/5.69 percentage equality = 0.008696, percentage horn = 0.929134
% 5.31/5.69 This is a problem with some equality
% 5.31/5.69
% 5.31/5.69
% 5.31/5.69
% 5.31/5.69 Options Used:
% 5.31/5.69
% 5.31/5.69 useres = 1
% 5.31/5.69 useparamod = 1
% 5.31/5.69 useeqrefl = 1
% 5.31/5.69 useeqfact = 1
% 5.31/5.69 usefactor = 1
% 5.31/5.69 usesimpsplitting = 0
% 5.31/5.69 usesimpdemod = 5
% 5.31/5.69 usesimpres = 3
% 5.31/5.69
% 5.31/5.69 resimpinuse = 1000
% 5.31/5.69 resimpclauses = 20000
% 5.31/5.69 substype = eqrewr
% 5.31/5.69 backwardsubs = 1
% 5.31/5.69 selectoldest = 5
% 5.31/5.69
% 5.31/5.69 litorderings [0] = split
% 5.31/5.69 litorderings [1] = extend the termordering, first sorting on arguments
% 5.31/5.69
% 5.31/5.69 termordering = kbo
% 5.31/5.69
% 5.31/5.69 litapriori = 0
% 5.31/5.69 termapriori = 1
% 5.31/5.69 litaposteriori = 0
% 5.31/5.69 termaposteriori = 0
% 5.31/5.69 demodaposteriori = 0
% 5.31/5.69 ordereqreflfact = 0
% 5.31/5.69
% 5.31/5.69 litselect = negord
% 5.31/5.69
% 5.31/5.69 maxweight = 15
% 5.31/5.69 maxdepth = 30000
% 5.31/5.69 maxlength = 115
% 5.31/5.69 maxnrvars = 195
% 5.31/5.69 excuselevel = 1
% 5.31/5.69 increasemaxweight = 1
% 5.31/5.69
% 5.31/5.69 maxselected = 10000000
% 5.31/5.69 maxnrclauses = 10000000
% 5.31/5.69
% 5.31/5.69 showgenerated = 0
% 5.31/5.69 showkept = 0
% 5.31/5.69 showselected = 0
% 5.31/5.69 showdeleted = 0
% 5.31/5.69 showresimp = 1
% 5.31/5.69 showstatus = 2000
% 5.31/5.69
% 5.31/5.69 prologoutput = 0
% 5.31/5.69 nrgoals = 5000000
% 5.31/5.69 totalproof = 1
% 5.31/5.69
% 5.31/5.69 Symbols occurring in the translation:
% 5.31/5.69
% 5.31/5.69 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 5.31/5.69 . [1, 2] (w:1, o:37, a:1, s:1, b:0),
% 5.31/5.69 ! [4, 1] (w:0, o:32, a:1, s:1, b:0),
% 5.31/5.69 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 5.31/5.69 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 5.31/5.69 coll [38, 3] (w:1, o:65, a:1, s:1, b:0),
% 5.31/5.69 para [40, 4] (w:1, o:73, a:1, s:1, b:0),
% 5.31/5.69 perp [43, 4] (w:1, o:74, a:1, s:1, b:0),
% 5.31/5.69 midp [45, 3] (w:1, o:66, a:1, s:1, b:0),
% 5.31/5.69 cong [47, 4] (w:1, o:75, a:1, s:1, b:0),
% 5.31/5.69 circle [48, 4] (w:1, o:76, a:1, s:1, b:0),
% 5.31/5.69 cyclic [49, 4] (w:1, o:77, a:1, s:1, b:0),
% 5.31/5.69 eqangle [54, 8] (w:1, o:92, a:1, s:1, b:0),
% 5.31/5.69 eqratio [57, 8] (w:1, o:93, a:1, s:1, b:0),
% 5.31/5.69 simtri [59, 6] (w:1, o:89, a:1, s:1, b:0),
% 5.31/5.69 contri [60, 6] (w:1, o:90, a:1, s:1, b:0),
% 5.31/5.69 alpha1 [64, 3] (w:1, o:67, a:1, s:1, b:1),
% 5.31/5.69 alpha2 [65, 4] (w:1, o:78, a:1, s:1, b:1),
% 5.31/5.69 skol1 [66, 4] (w:1, o:79, a:1, s:1, b:1),
% 5.31/5.69 skol2 [67, 4] (w:1, o:81, a:1, s:1, b:1),
% 5.31/5.69 skol3 [68, 4] (w:1, o:83, a:1, s:1, b:1),
% 5.31/5.69 skol4 [69, 4] (w:1, o:84, a:1, s:1, b:1),
% 5.31/5.69 skol5 [70, 4] (w:1, o:85, a:1, s:1, b:1),
% 26.21/26.59 skol6 [71, 6] (w:1, o:91, a:1, s:1, b:1),
% 26.21/26.59 skol7 [72, 2] (w:1, o:61, a:1, s:1, b:1),
% 26.21/26.59 skol8 [73, 4] (w:1, o:86, a:1, s:1, b:1),
% 26.21/26.59 skol9 [74, 4] (w:1, o:87, a:1, s:1, b:1),
% 26.21/26.59 skol10 [75, 3] (w:1, o:68, a:1, s:1, b:1),
% 26.21/26.59 skol11 [76, 3] (w:1, o:69, a:1, s:1, b:1),
% 26.21/26.59 skol12 [77, 2] (w:1, o:62, a:1, s:1, b:1),
% 26.21/26.59 skol13 [78, 5] (w:1, o:88, a:1, s:1, b:1),
% 26.21/26.59 skol14 [79, 3] (w:1, o:70, a:1, s:1, b:1),
% 26.21/26.59 skol15 [80, 3] (w:1, o:71, a:1, s:1, b:1),
% 26.21/26.59 skol16 [81, 3] (w:1, o:72, a:1, s:1, b:1),
% 26.21/26.59 skol17 [82, 2] (w:1, o:63, a:1, s:1, b:1),
% 26.21/26.59 skol18 [83, 2] (w:1, o:64, a:1, s:1, b:1),
% 26.21/26.59 skol19 [84, 4] (w:1, o:80, a:1, s:1, b:1),
% 26.21/26.59 skol20 [85, 0] (w:1, o:24, a:1, s:1, b:1),
% 26.21/26.59 skol21 [86, 4] (w:1, o:82, a:1, s:1, b:1),
% 26.21/26.59 skol22 [87, 0] (w:1, o:25, a:1, s:1, b:1),
% 26.21/26.59 skol23 [88, 0] (w:1, o:26, a:1, s:1, b:1),
% 26.21/26.59 skol24 [89, 0] (w:1, o:27, a:1, s:1, b:1),
% 26.21/26.59 skol25 [90, 0] (w:1, o:28, a:1, s:1, b:1),
% 26.21/26.59 skol26 [91, 0] (w:1, o:29, a:1, s:1, b:1),
% 26.21/26.59 skol27 [92, 0] (w:1, o:30, a:1, s:1, b:1),
% 26.21/26.59 skol28 [93, 0] (w:1, o:31, a:1, s:1, b:1).
% 26.21/26.59
% 26.21/26.59
% 26.21/26.59 Starting Search:
% 26.21/26.59
% 26.21/26.59 *** allocated 15000 integers for clauses
% 26.21/26.59 *** allocated 22500 integers for clauses
% 26.21/26.59 *** allocated 33750 integers for clauses
% 26.21/26.59 *** allocated 50625 integers for clauses
% 26.21/26.59 *** allocated 22500 integers for termspace/termends
% 26.21/26.59 *** allocated 75937 integers for clauses
% 26.21/26.59 Resimplifying inuse:
% 26.21/26.59 Done
% 26.21/26.59
% 26.21/26.59 *** allocated 33750 integers for termspace/termends
% 26.21/26.59 *** allocated 113905 integers for clauses
% 26.21/26.59 *** allocated 50625 integers for termspace/termends
% 26.21/26.59
% 26.21/26.59 Intermediate Status:
% 26.21/26.59 Generated: 8629
% 26.21/26.59 Kept: 2000
% 26.21/26.59 Inuse: 322
% 26.21/26.59 Deleted: 0
% 26.21/26.59 Deletedinuse: 0
% 26.21/26.59
% 26.21/26.59 Resimplifying inuse:
% 26.21/26.59 Done
% 26.21/26.59
% 26.21/26.59 *** allocated 170857 integers for clauses
% 26.21/26.59 *** allocated 75937 integers for termspace/termends
% 26.21/26.59 Resimplifying inuse:
% 26.21/26.59 Done
% 26.21/26.59
% 26.21/26.59 *** allocated 256285 integers for clauses
% 26.21/26.59 *** allocated 113905 integers for termspace/termends
% 26.21/26.59
% 26.21/26.59 Intermediate Status:
% 26.21/26.59 Generated: 26317
% 26.21/26.59 Kept: 4010
% 26.21/26.59 Inuse: 461
% 26.21/26.59 Deleted: 1
% 26.21/26.59 Deletedinuse: 1
% 26.21/26.59
% 26.21/26.59 Resimplifying inuse:
% 26.21/26.59 Done
% 26.21/26.59
% 26.21/26.59 Resimplifying inuse:
% 26.21/26.59 Done
% 26.21/26.59
% 26.21/26.59 *** allocated 384427 integers for clauses
% 26.21/26.59 *** allocated 170857 integers for termspace/termends
% 26.21/26.59
% 26.21/26.59 Intermediate Status:
% 26.21/26.59 Generated: 41379
% 26.21/26.59 Kept: 6161
% 26.21/26.59 Inuse: 531
% 26.21/26.59 Deleted: 1
% 26.21/26.59 Deletedinuse: 1
% 26.21/26.59
% 26.21/26.59 Resimplifying inuse:
% 26.21/26.59 Done
% 26.21/26.59
% 26.21/26.59 Resimplifying inuse:
% 26.21/26.59 Done
% 26.21/26.59
% 26.21/26.59 *** allocated 576640 integers for clauses
% 26.21/26.59
% 26.21/26.59 Intermediate Status:
% 26.21/26.59 Generated: 64043
% 26.21/26.59 Kept: 8162
% 26.21/26.59 Inuse: 685
% 26.21/26.59 Deleted: 2
% 26.21/26.59 Deletedinuse: 1
% 26.21/26.59
% 26.21/26.59 Resimplifying inuse:
% 26.21/26.59 Done
% 26.21/26.59
% 26.21/26.59 *** allocated 256285 integers for termspace/termends
% 26.21/26.59 Resimplifying inuse:
% 26.21/26.59 Done
% 26.21/26.59
% 26.21/26.59
% 26.21/26.59 Intermediate Status:
% 26.21/26.59 Generated: 91836
% 26.21/26.59 Kept: 10183
% 26.21/26.59 Inuse: 801
% 26.21/26.59 Deleted: 14
% 26.21/26.59 Deletedinuse: 8
% 26.21/26.59
% 26.21/26.59 Resimplifying inuse:
% 26.21/26.59 Done
% 26.21/26.59
% 26.21/26.59 Resimplifying inuse:
% 26.21/26.59 Done
% 26.21/26.59
% 26.21/26.59
% 26.21/26.59 Intermediate Status:
% 26.21/26.59 Generated: 109523
% 26.21/26.59 Kept: 12361
% 26.21/26.59 Inuse: 860
% 26.21/26.59 Deleted: 19
% 26.21/26.59 Deletedinuse: 13
% 26.21/26.59
% 26.21/26.59 *** allocated 864960 integers for clauses
% 26.21/26.59 Resimplifying inuse:
% 26.21/26.59 Done
% 26.21/26.59
% 26.21/26.59 Resimplifying inuse:
% 26.21/26.59 Done
% 26.21/26.59
% 26.21/26.59
% 26.21/26.59 Intermediate Status:
% 26.21/26.59 Generated: 128165
% 26.21/26.59 Kept: 14380
% 26.21/26.59 Inuse: 929
% 26.21/26.59 Deleted: 40
% 26.21/26.59 Deletedinuse: 32
% 26.21/26.59
% 26.21/26.59 Resimplifying inuse:
% 26.21/26.59 Done
% 26.21/26.59
% 26.21/26.59 *** allocated 384427 integers for termspace/termends
% 26.21/26.59 Resimplifying inuse:
% 26.21/26.59 Done
% 26.21/26.59
% 26.21/26.59
% 26.21/26.59 Intermediate Status:
% 26.21/26.59 Generated: 143395
% 26.21/26.59 Kept: 16386
% 26.21/26.59 Inuse: 1046
% 26.21/26.59 Deleted: 42
% 26.21/26.59 Deletedinuse: 32
% 26.21/26.59
% 26.21/26.59 Resimplifying inuse:
% 26.21/26.59 Done
% 26.21/26.59
% 26.21/26.59 Resimplifying inuse:
% 26.21/26.59 Done
% 26.21/26.59
% 26.21/26.59
% 26.21/26.59 Intermediate Status:
% 26.21/26.59 Generated: 156302
% 26.21/26.59 Kept: 18386
% 26.21/26.59 Inuse: 1154
% 26.21/26.59 Deleted: 43
% 26.21/26.59 Deletedinuse: 33
% 26.21/26.59
% 26.21/26.59 Resimplifying inuse:
% 26.21/26.59 Done
% 26.21/26.59
% 26.21/26.59 *** allocated 1297440 integers for clauses
% 26.21/26.59 Resimplifying clauses:
% 26.21/26.59 Done
% 26.21/26.59
% 26.21/26.59 Resimplifying inuse:
% 26.21/26.59 Done
% 26.21/26.59
% 26.21/26.59
% 26.21/26.59 Intermediate Status:
% 26.21/26.59 Generated: 169583
% 26.21/26.59 Kept: 20411
% 26.21/26.59 Inuse: 1281
% 26.21/26.59 Deleted: 1146
% 26.21/26.59 Deletedinuse: 33
% 26.21/26.59
% 26.21/26.59 Resimplifying inuse:
% 26.21/26.59 Done
% 26.21/26.59
% 26.21/26.59 Resimplifying inuse:
% 26.21/26.59 Done
% 26.21/26.59
% 26.21/26.59
% 26.21/26.59 Intermediate Status:
% 26.21/26.59 Generated: 179764
% 26.21/26.59 Kept: 22445
% 26.21/26.59 Inuse: 1371
% 26.21/26.59 Deleted: 1146
% 26.21/26.59 Deletedinuse: 33
% 26.21/26.59
% 26.21/26.59 Resimplifying inuse:
% 26.21/26.59 Done
% 26.21/26.59
% 26.21/26.59 Resimplifying inuse:
% 26.21/26.59 Done
% 26.21/26.59
% 26.21/26.59
% 26.21/26.59 Intermediate Status:
% 26.21/26.59 Generated: 191208
% 26.21/26.59 Kept: 24476
% 26.21/26.59 Inuse: 1481
% 26.21/26.59 Deleted: 1146
% 26.21/26.59 Deletedinuse: 33
% 26.21/26.59
% 26.21/26.59 *** allocated 576640 integers for termspace/termends
% 26.21/26.59 Resimplifying inuse:
% 26.21/26.59 Done
% 26.21/26.59
% 26.21/26.59 Resimplifying inuse:
% 26.21/26.59 Done
% 26.21/26.59
% 26.21/26.59
% 26.21/26.59 Intermediate Status:
% 26.21/26.59 Generated: 202732
% 26.21/26.59 Kept: 26478
% 26.21/26.59 Inuse: 1595
% 26.21/26.59 Deleted: 1146
% 26.21/26.59 Deletedinuse: 33
% 26.21/26.59
% 26.21/26.59 Resimplifying inuse:
% 26.21/26.59 Done
% 26.21/26.59
% 26.21/26.59 Resimplifying inuse:
% 26.21/26.59 Done
% 26.21/26.59
% 26.21/26.59
% 26.21/26.59 Intermediate Status:
% 26.21/26.59 Generated: 212690
% 26.21/26.59 Kept: 28484
% 26.21/26.59 Inuse: 1697
% 26.21/26.59 Deleted: 1146
% 26.21/26.59 Deletedinuse: 33
% 26.21/26.59
% 26.21/26.59 *** allocated 1946160 integers for clauses
% 26.21/26.59 Resimplifying inuse:
% 26.21/26.59 Done
% 26.21/26.59
% 26.21/26.59 Resimplifying inuse:
% 26.21/26.59 Done
% 26.21/26.59
% 26.21/26.59
% 26.21/26.59 Intermediate Status:
% 26.21/26.59 Generated: 228983
% 26.21/26.59 Kept: 30492
% 26.21/26.59 Inuse: 1842
% 26.21/26.59 Deleted: 1146
% 26.21/26.59 Deletedinuse: 33
% 26.21/26.59
% 26.21/26.59 Resimplifying inuse:
% 26.21/26.59 Done
% 26.21/26.59
% 26.21/26.59 Resimplifying inuse:
% 26.21/26.59 Done
% 26.21/26.59
% 26.21/26.59
% 26.21/26.59 Intermediate Status:
% 26.21/26.59 Generated: 245000
% 26.21/26.59 Kept: 32498
% 26.21/26.59 Inuse: 1993
% 26.21/26.59 Deleted: 1147
% 26.21/26.59 Deletedinuse: 33
% 26.21/26.59
% 26.21/26.59 Resimplifying inuse:
% 26.21/26.59 Done
% 26.21/26.59
% 26.21/26.59 Resimplifying inuse:
% 26.21/26.59 Done
% 26.21/26.59
% 26.21/26.59
% 26.21/26.59 Intermediate Status:
% 26.21/26.59 Generated: 257391
% 26.21/26.59 Kept: 34532
% 26.21/26.59 Inuse: 2095
% 26.21/26.59 Deleted: 1147
% 26.21/26.59 Deletedinuse: 33
% 26.21/26.59
% 26.21/26.59 Resimplifying inuse:
% 26.21/26.59 Done
% 26.21/26.59
% 26.21/26.59 Resimplifying inuse:
% 26.21/26.59 Done
% 26.21/26.59
% 26.21/26.59
% 26.21/26.59 Intermediate Status:
% 26.21/26.59 Generated: 271208
% 26.21/26.59 Kept: 36551
% 26.21/26.59 Inuse: 2224
% 26.21/26.59 Deleted: 1153
% 26.21/26.59 Deletedinuse: 39
% 26.21/26.59
% 26.21/26.59 Resimplifying inuse:
% 26.21/26.59 Done
% 26.21/26.59
% 26.21/26.59 Resimplifying inuse:
% 26.21/26.59 Done
% 26.21/26.59
% 26.21/26.59
% 26.21/26.59 Intermediate Status:
% 26.21/26.59 Generated: 284022
% 26.21/26.59 Kept: 38558
% 26.21/26.59 Inuse: 2337
% 26.21/26.59 Deleted: 1161
% 26.21/26.59 Deletedinuse: 47
% 26.21/26.59
% 26.21/26.59 Resimplifying inuse:
% 26.21/26.59 Done
% 26.21/26.59
% 26.21/26.59 Resimplifying clauses:
% 26.21/26.59 Done
% 26.21/26.59
% 26.21/26.59 *** allocated 864960 integers for termspace/termends
% 26.21/26.59 Resimplifying inuse:
% 26.21/26.59 Done
% 26.21/26.59
% 26.21/26.59
% 26.21/26.59 Intermediate Status:
% 26.21/26.59 Generated: 299506
% 26.21/26.59 Kept: 40575
% 26.21/26.59 Inuse: 2475
% 26.21/26.59 Deleted: 2470
% 26.21/26.59 Deletedinuse: 66
% 26.21/26.59
% 26.21/26.59 Resimplifying inuse:
% 26.21/26.59 Done
% 26.21/26.59
% 26.21/26.59 Resimplifying inuse:
% 26.21/26.59 Done
% 26.21/26.59
% 26.21/26.59
% 26.21/26.59 Intermediate Status:
% 26.21/26.59 Generated: 320396
% 26.21/26.59 Kept: 42576
% 26.21/26.59 Inuse: 2668
% 26.21/26.59 Deleted: 2498
% 26.21/26.59 Deletedinuse: 94
% 26.21/26.59
% 26.21/26.59 *** allocated 2919240 integers for clauses
% 26.21/26.59 Resimplifying inuse:
% 26.21/26.59 Done
% 26.21/26.59
% 26.21/26.59
% 26.21/26.59 Intermediate Status:
% 26.21/26.59 Generated: 338317
% 26.21/26.59 Kept: 46450
% 26.21/26.59 Inuse: 2815
% 26.21/26.59 Deleted: 2510
% 26.21/26.59 Deletedinuse: 106
% 26.21/26.59
% 26.21/26.59 Resimplifying inuse:
% 26.21/26.59 Done
% 26.21/26.59
% 26.21/26.59 Resimplifying inuse:
% 26.21/26.59 Done
% 26.21/26.59
% 26.21/26.59
% 26.21/26.59 Intermediate Status:
% 26.21/26.59 Generated: 352773
% 26.21/26.59 Kept: 50485
% 26.21/26.59 Inuse: 2905
% 26.21/26.59 Deleted: 2510
% 26.21/26.59 Deletedinuse: 106
% 26.21/26.59
% 26.21/26.59 Resimplifying inuse:
% 26.21/26.59 Done
% 26.21/26.59
% 26.21/26.59
% 26.21/26.59 Intermediate Status:
% 26.21/26.59 Generated: 365062
% 26.21/26.59 Kept: 53971
% 26.21/26.59 Inuse: 2920
% 26.21/26.59 Deleted: 2510
% 26.21/26.59 Deletedinuse: 106
% 26.21/26.59
% 26.21/26.59 Resimplifying inuse:
% 26.21/26.59 Done
% 26.21/26.59
% 26.21/26.59 Resimplifying inuse:
% 26.21/26.59 Done
% 26.21/26.59
% 26.21/26.59
% 26.21/26.59 Intermediate Status:
% 26.21/26.59 Generated: 383285
% 26.21/26.59 Kept: 55983
% 26.21/26.59 Inuse: 3016
% 26.21/26.59 Deleted: 2516
% 26.21/26.59 Deletedinuse: 112
% 26.21/26.59
% 26.21/26.59 Resimplifying inuse:
% 26.21/26.59 Done
% 26.21/26.59
% 26.21/26.59 Resimplifying inuse:
% 26.21/26.59 Done
% 26.21/26.59
% 26.21/26.59
% 26.21/26.59 Intermediate Status:
% 26.21/26.59 Generated: 405021
% 26.21/26.59 Kept: 57986
% 26.21/26.59 Inuse: 3085
% 26.21/26.59 Deleted: 2523
% 26.21/26.59 Deletedinuse: 118
% 26.21/26.59
% 26.21/26.59 Resimplifying inuse:
% 26.21/26.59 Done
% 26.21/26.59
% 26.21/26.59
% 26.21/26.59 Intermediate Status:
% 26.21/26.59 Generated: 417655
% 26.21/26.59 Kept: 61590
% 26.21/26.59 Inuse: 3147
% 26.21/26.59 Deleted: 2531
% 26.21/26.59 Deletedinuse: 124
% 26.21/26.59
% 26.21/26.59 Resimplifying inuse:
% 26.21/26.59 Done
% 26.21/26.59
% 26.21/26.59 Resimplifying clauses:
% 26.21/26.59 Done
% 26.21/26.59
% 26.21/26.59 Resimplifying inuse:
% 26.21/26.59 Done
% 26.21/26.59
% 26.21/26.59 *** allocated 1297440 integers for termspace/termends
% 26.21/26.59
% 26.21/26.59 Intermediate Status:
% 26.21/26.59 Generated: 426127
% 26.21/26.59 Kept: 64541
% 26.21/26.59 Inuse: 3179
% 26.21/26.59 Deleted: 8078
% 26.21/26.59 Deletedinuse: 204
% 26.21/26.59
% 26.21/26.59 Resimplifying inuse:
% 26.21/26.59 Done
% 26.21/26.59
% 26.21/26.59 Resimplifying inuse:
% 26.21/26.59 Done
% 26.21/26.59
% 26.21/26.59
% 26.21/26.59 Intermediate Status:
% 26.21/26.59 Generated: 439945
% 26.21/26.59 Kept: 66544
% 26.21/26.59 Inuse: 3332
% 26.21/26.59 Deleted: 8116
% 26.21/26.59 Deletedinuse: 204
% 26.21/26.59
% 26.21/26.59 Resimplifying inuse:
% 26.21/26.59 Done
% 26.21/26.59
% 26.21/26.59 *** allocated 4378860 integers for clauses
% 26.21/26.59 Resimplifying inuse:
% 26.21/26.59 Done
% 26.21/26.59
% 26.21/26.59
% 26.21/26.59 Intermediate Status:
% 26.21/26.59 Generated: 456905
% 26.21/26.59 Kept: 68546
% 26.21/26.59 Inuse: 3477
% 26.21/26.59 Deleted: 8218
% 26.21/26.59 Deletedinuse: 240
% 26.21/26.59
% 26.21/26.59 Resimplifying inuse:
% 26.21/26.59 Done
% 26.21/26.59
% 26.21/26.59 Resimplifying inuse:
% 26.21/26.59 Done
% 26.21/26.59
% 26.21/26.59
% 26.21/26.59 Intermediate Status:
% 26.21/26.59 Generated: 471213
% 26.21/26.59 Kept: 71959
% 26.21/26.59 Inuse: 3581
% 26.21/26.59 Deleted: 8242
% 26.21/26.59 Deletedinuse: 240
% 26.21/26.59
% 26.21/26.59 Resimplifying inuse:
% 26.21/26.59 Done
% 26.21/26.59
% 26.21/26.59 Resimplifying inuse:
% 26.21/26.59 Done
% 26.21/26.59
% 26.21/26.59
% 26.21/26.59 Intermediate Status:
% 26.21/26.59 Generated: 484362
% 26.21/26.59 Kept: 73968
% 26.21/26.59 Inuse: 3709
% 26.21/26.59 Deleted: 8274
% 26.21/26.59 Deletedinuse: 241
% 26.21/26.59
% 26.21/26.59 Resimplifying inuse:
% 26.21/26.59 Done
% 26.21/26.59
% 26.21/26.59
% 26.21/26.59 Bliksems!, er is een bewijs:
% 26.21/26.59 % SZS status Theorem
% 26.21/26.59 % SZS output start Refutation
% 26.21/26.59
% 26.21/26.59 (0) {G0,W8,D2,L2,V3,M2} I { ! coll( X, Y, Z ), coll( X, Z, Y ) }.
% 26.21/26.59 (2) {G0,W12,D2,L3,V4,M3} I { ! coll( X, T, Y ), ! coll( X, T, Z ), coll( Y
% 26.21/26.59 , Z, X ) }.
% 26.21/26.59 (3) {G0,W10,D2,L2,V4,M2} I { ! para( X, Y, Z, T ), para( X, Y, T, Z ) }.
% 26.21/26.59 (5) {G0,W15,D2,L3,V6,M3} I { ! para( X, Y, U, W ), ! para( U, W, Z, T ),
% 26.21/26.59 para( X, Y, Z, T ) }.
% 26.21/26.59 (6) {G0,W10,D2,L2,V4,M2} I { ! perp( X, Y, Z, T ), perp( X, Y, T, Z ) }.
% 26.21/26.59 (7) {G0,W10,D2,L2,V4,M2} I { ! perp( X, Y, Z, T ), perp( Z, T, X, Y ) }.
% 26.21/26.59 (8) {G0,W15,D2,L3,V6,M3} I { ! perp( X, Y, U, W ), ! perp( U, W, Z, T ),
% 26.21/26.59 para( X, Y, Z, T ) }.
% 26.21/26.59 (13) {G0,W10,D2,L2,V4,M2} I { ! cyclic( X, Y, Z, T ), cyclic( X, Y, T, Z )
% 26.21/26.59 }.
% 26.21/26.59 (14) {G0,W10,D2,L2,V4,M2} I { ! cyclic( X, Y, Z, T ), cyclic( X, Z, Y, T )
% 26.21/26.59 }.
% 26.21/26.59 (15) {G0,W10,D2,L2,V4,M2} I { ! cyclic( X, Y, Z, T ), cyclic( Y, X, Z, T )
% 26.21/26.59 }.
% 26.21/26.59 (16) {G0,W15,D2,L3,V5,M3} I { ! cyclic( U, X, Y, Z ), ! cyclic( U, X, Y, T
% 26.21/26.59 ), cyclic( X, Y, Z, T ) }.
% 26.21/26.59 (18) {G0,W18,D2,L2,V8,M2} I { ! eqangle( X, Y, Z, T, U, W, V0, V1 ),
% 26.21/26.59 eqangle( Z, T, X, Y, V0, V1, U, W ) }.
% 26.21/26.59 (39) {G0,W14,D2,L2,V6,M2} I { ! para( X, Y, Z, T ), eqangle( X, Y, U, W, Z
% 26.21/26.59 , T, U, W ) }.
% 26.21/26.59 (40) {G0,W14,D2,L2,V4,M2} I { ! cyclic( X, Y, Z, T ), eqangle( Z, X, Z, Y,
% 26.21/26.59 T, X, T, Y ) }.
% 26.21/26.59 (42) {G0,W18,D2,L3,V4,M3} I { ! eqangle( Z, X, Z, Y, T, X, T, Y ), ! coll(
% 26.21/26.59 Z, T, Y ), cyclic( X, Y, Z, T ) }.
% 26.21/26.59 (43) {G0,W29,D2,L5,V6,M5} I { ! cyclic( X, Y, U, Z ), ! cyclic( X, Y, U, T
% 26.21/26.59 ), ! cyclic( X, Y, U, W ), ! eqangle( U, X, U, Y, W, Z, W, T ), cong( X
% 26.21/26.59 , Y, Z, T ) }.
% 26.21/26.59 (56) {G0,W15,D2,L3,V4,M3} I { ! cong( X, Z, Y, Z ), ! cong( X, T, Y, T ),
% 26.21/26.59 perp( X, Y, Z, T ) }.
% 26.21/26.59 (66) {G0,W9,D2,L2,V3,M2} I { ! para( X, Y, X, Z ), coll( X, Y, Z ) }.
% 26.21/26.59 (122) {G0,W5,D2,L1,V0,M1} I { perp( skol23, skol28, skol25, skol27 ) }.
% 26.21/26.59 (126) {G0,W5,D2,L1,V0,M1} I { ! para( skol20, skol22, skol23, skol24 ) }.
% 26.21/26.59 (203) {G1,W12,D2,L3,V4,M3} R(2,0) { ! coll( X, Y, Z ), ! coll( X, Y, T ),
% 26.21/26.59 coll( Z, X, T ) }.
% 26.21/26.59 (212) {G2,W8,D2,L2,V3,M2} F(203) { ! coll( X, Y, Z ), coll( Z, X, Z ) }.
% 26.21/26.59 (226) {G1,W5,D2,L1,V0,M1} R(3,126) { ! para( skol20, skol22, skol24, skol23
% 26.21/26.59 ) }.
% 26.21/26.59 (268) {G2,W10,D2,L2,V2,M2} R(226,5) { ! para( skol20, skol22, X, Y ), !
% 26.21/26.59 para( X, Y, skol24, skol23 ) }.
% 26.21/26.59 (285) {G1,W15,D2,L3,V6,M3} R(8,7) { ! perp( X, Y, Z, T ), para( U, W, Z, T
% 26.21/26.59 ), ! perp( X, Y, U, W ) }.
% 26.21/26.59 (286) {G1,W15,D2,L3,V6,M3} R(8,7) { ! perp( X, Y, Z, T ), para( X, Y, U, W
% 26.21/26.59 ), ! perp( U, W, Z, T ) }.
% 26.21/26.59 (304) {G2,W10,D2,L2,V4,M2} F(286) { ! perp( X, Y, Z, T ), para( X, Y, X, Y
% 26.21/26.59 ) }.
% 26.21/26.59 (316) {G1,W5,D2,L1,V0,M1} R(122,6) { perp( skol23, skol28, skol27, skol25 )
% 26.21/26.59 }.
% 26.21/26.59 (413) {G1,W10,D2,L2,V4,M2} R(14,13) { ! cyclic( X, Y, Z, T ), cyclic( X, Z
% 26.21/26.59 , T, Y ) }.
% 26.21/26.59 (429) {G1,W10,D2,L2,V4,M2} R(15,14) { cyclic( X, Y, Z, T ), ! cyclic( Y, Z
% 26.21/26.59 , X, T ) }.
% 26.21/26.59 (431) {G1,W10,D2,L2,V4,M2} R(15,13) { cyclic( X, Y, Z, T ), ! cyclic( Y, X
% 26.21/26.59 , T, Z ) }.
% 26.21/26.59 (457) {G1,W15,D2,L3,V5,M3} R(16,15) { ! cyclic( X, Y, Z, T ), ! cyclic( X,
% 26.21/26.59 Y, Z, U ), cyclic( Z, Y, T, U ) }.
% 26.21/26.59 (462) {G1,W15,D2,L3,V5,M3} R(16,13) { ! cyclic( X, Y, Z, T ), cyclic( Y, Z
% 26.21/26.59 , T, U ), ! cyclic( X, Y, U, Z ) }.
% 26.21/26.59 (466) {G2,W10,D2,L2,V4,M2} F(457) { ! cyclic( X, Y, Z, T ), cyclic( Z, Y, T
% 26.21/26.59 , T ) }.
% 26.21/26.59 (523) {G3,W12,D2,L3,V4,M3} R(212,2) { coll( X, Y, X ), ! coll( X, Z, Y ), !
% 26.21/26.59 coll( X, Z, T ) }.
% 26.21/26.59 (538) {G4,W8,D2,L2,V3,M2} F(523) { coll( X, Y, X ), ! coll( X, Z, Y ) }.
% 26.21/26.59 (768) {G5,W8,D2,L2,V3,M2} R(538,0) { ! coll( X, Y, Z ), coll( X, X, Z ) }.
% 26.21/26.59 (834) {G1,W14,D2,L2,V6,M2} R(39,18) { ! para( X, Y, Z, T ), eqangle( U, W,
% 26.21/26.59 X, Y, U, W, Z, T ) }.
% 26.21/26.59 (1039) {G1,W20,D2,L4,V4,M4} R(43,40);f { ! cyclic( X, Y, Z, X ), ! cyclic(
% 26.21/26.59 X, Y, Z, Y ), ! cyclic( X, Y, Z, T ), cong( X, Y, X, Y ) }.
% 26.21/26.59 (1071) {G2,W15,D2,L3,V3,M3} F(1039) { ! cyclic( X, Y, Z, X ), ! cyclic( X,
% 26.21/26.59 Y, Z, Y ), cong( X, Y, X, Y ) }.
% 26.21/26.59 (20040) {G3,W5,D2,L1,V0,M1} R(304,316) { para( skol23, skol28, skol23,
% 26.21/26.59 skol28 ) }.
% 26.21/26.59 (20194) {G4,W4,D2,L1,V0,M1} R(20040,66) { coll( skol23, skol28, skol28 )
% 26.21/26.59 }.
% 26.21/26.59 (20234) {G6,W4,D2,L1,V0,M1} R(20194,768) { coll( skol23, skol23, skol28 )
% 26.21/26.59 }.
% 26.21/26.59 (21842) {G7,W14,D2,L2,V1,M2} R(20234,42) { ! eqangle( skol23, X, skol23,
% 26.21/26.59 skol28, skol23, X, skol23, skol28 ), cyclic( X, skol28, skol23, skol23 )
% 26.21/26.59 }.
% 26.21/26.59 (55496) {G4,W9,D2,L1,V2,M1} R(834,20040) { eqangle( X, Y, skol23, skol28, X
% 26.21/26.59 , Y, skol23, skol28 ) }.
% 26.21/26.59 (61590) {G8,W5,D2,L1,V1,M1} S(21842);r(55496) { cyclic( X, skol28, skol23,
% 26.21/26.59 skol23 ) }.
% 26.21/26.59 (61628) {G9,W5,D2,L1,V1,M1} R(61590,431) { cyclic( skol28, X, skol23,
% 26.21/26.59 skol23 ) }.
% 26.21/26.59 (61640) {G10,W5,D2,L1,V1,M1} R(61628,466) { cyclic( skol23, X, skol23,
% 26.21/26.59 skol23 ) }.
% 26.21/26.59 (61662) {G11,W5,D2,L1,V1,M1} R(61640,429) { cyclic( skol23, skol23, X,
% 26.21/26.59 skol23 ) }.
% 26.21/26.59 (61663) {G11,W5,D2,L1,V1,M1} R(61640,413) { cyclic( skol23, skol23, skol23
% 26.21/26.59 , X ) }.
% 26.21/26.59 (61668) {G12,W5,D2,L1,V2,M1} R(61662,462);r(61663) { cyclic( skol23, skol23
% 26.21/26.59 , X, Y ) }.
% 26.21/26.59 (61691) {G13,W5,D2,L1,V3,M1} R(61668,462);r(61668) { cyclic( skol23, X, Y,
% 26.21/26.59 Z ) }.
% 26.21/26.59 (61708) {G14,W5,D2,L1,V4,M1} R(61691,462);r(61691) { cyclic( X, Y, Z, T )
% 26.21/26.59 }.
% 26.21/26.59 (74262) {G15,W5,D2,L1,V2,M1} S(1071);r(61708);r(61708) { cong( X, Y, X, Y )
% 26.21/26.59 }.
% 26.21/26.59 (74279) {G16,W5,D2,L1,V3,M1} R(74262,56);r(74262) { perp( X, X, Z, Y ) }.
% 26.21/26.59 (74320) {G17,W5,D2,L1,V4,M1} R(74279,285);r(74279) { para( X, Y, Z, T ) }.
% 26.21/26.59 (74484) {G18,W0,D0,L0,V0,M0} R(74320,268);r(74320) { }.
% 26.21/26.59
% 26.21/26.59
% 26.21/26.59 % SZS output end Refutation
% 26.21/26.59 found a proof!
% 26.21/26.59
% 26.21/26.59
% 26.21/26.59 Unprocessed initial clauses:
% 26.21/26.59
% 26.21/26.59 (74486) {G0,W8,D2,L2,V3,M2} { ! coll( X, Y, Z ), coll( X, Z, Y ) }.
% 26.21/26.59 (74487) {G0,W8,D2,L2,V3,M2} { ! coll( X, Y, Z ), coll( Y, X, Z ) }.
% 26.21/26.59 (74488) {G0,W12,D2,L3,V4,M3} { ! coll( X, T, Y ), ! coll( X, T, Z ), coll
% 26.21/26.59 ( Y, Z, X ) }.
% 26.21/26.59 (74489) {G0,W10,D2,L2,V4,M2} { ! para( X, Y, Z, T ), para( X, Y, T, Z )
% 26.21/26.59 }.
% 26.21/26.59 (74490) {G0,W10,D2,L2,V4,M2} { ! para( X, Y, Z, T ), para( Z, T, X, Y )
% 26.21/26.59 }.
% 26.21/26.59 (74491) {G0,W15,D2,L3,V6,M3} { ! para( X, Y, U, W ), ! para( U, W, Z, T )
% 26.21/26.59 , para( X, Y, Z, T ) }.
% 26.21/26.59 (74492) {G0,W10,D2,L2,V4,M2} { ! perp( X, Y, Z, T ), perp( X, Y, T, Z )
% 26.21/26.59 }.
% 26.21/26.59 (74493) {G0,W10,D2,L2,V4,M2} { ! perp( X, Y, Z, T ), perp( Z, T, X, Y )
% 26.21/26.59 }.
% 26.21/26.59 (74494) {G0,W15,D2,L3,V6,M3} { ! perp( X, Y, U, W ), ! perp( U, W, Z, T )
% 26.21/26.59 , para( X, Y, Z, T ) }.
% 26.21/26.59 (74495) {G0,W15,D2,L3,V6,M3} { ! para( X, Y, U, W ), ! perp( U, W, Z, T )
% 26.21/26.59 , perp( X, Y, Z, T ) }.
% 26.21/26.59 (74496) {G0,W8,D2,L2,V3,M2} { ! midp( Z, Y, X ), midp( Z, X, Y ) }.
% 26.21/26.59 (74497) {G0,W15,D2,L3,V4,M3} { ! cong( T, X, T, Y ), ! cong( T, X, T, Z )
% 26.21/26.59 , circle( T, X, Y, Z ) }.
% 26.21/26.59 (74498) {G0,W20,D2,L4,V5,M4} { ! cong( U, X, U, Y ), ! cong( U, X, U, Z )
% 26.21/26.59 , ! cong( U, X, U, T ), cyclic( X, Y, Z, T ) }.
% 26.21/26.59 (74499) {G0,W10,D2,L2,V4,M2} { ! cyclic( X, Y, Z, T ), cyclic( X, Y, T, Z
% 26.21/26.59 ) }.
% 26.21/26.59 (74500) {G0,W10,D2,L2,V4,M2} { ! cyclic( X, Y, Z, T ), cyclic( X, Z, Y, T
% 26.21/26.59 ) }.
% 26.21/26.59 (74501) {G0,W10,D2,L2,V4,M2} { ! cyclic( X, Y, Z, T ), cyclic( Y, X, Z, T
% 26.21/26.59 ) }.
% 26.21/26.59 (74502) {G0,W15,D2,L3,V5,M3} { ! cyclic( U, X, Y, Z ), ! cyclic( U, X, Y,
% 26.21/26.59 T ), cyclic( X, Y, Z, T ) }.
% 26.21/26.59 (74503) {G0,W18,D2,L2,V8,M2} { ! eqangle( X, Y, Z, T, U, W, V0, V1 ),
% 26.21/26.59 eqangle( Y, X, Z, T, U, W, V0, V1 ) }.
% 26.21/26.59 (74504) {G0,W18,D2,L2,V8,M2} { ! eqangle( X, Y, Z, T, U, W, V0, V1 ),
% 26.21/26.59 eqangle( Z, T, X, Y, V0, V1, U, W ) }.
% 26.21/26.59 (74505) {G0,W18,D2,L2,V8,M2} { ! eqangle( X, Y, Z, T, U, W, V0, V1 ),
% 26.21/26.59 eqangle( U, W, V0, V1, X, Y, Z, T ) }.
% 26.21/26.59 (74506) {G0,W18,D2,L2,V8,M2} { ! eqangle( X, Y, Z, T, U, W, V0, V1 ),
% 26.21/26.59 eqangle( X, Y, U, W, Z, T, V0, V1 ) }.
% 26.21/26.59 (74507) {G0,W27,D2,L3,V12,M3} { ! eqangle( X, Y, Z, T, V2, V3, V4, V5 ), !
% 26.21/26.59 eqangle( V2, V3, V4, V5, U, W, V0, V1 ), eqangle( X, Y, Z, T, U, W, V0,
% 26.21/26.59 V1 ) }.
% 26.21/26.59 (74508) {G0,W10,D2,L2,V4,M2} { ! cong( X, Y, Z, T ), cong( X, Y, T, Z )
% 26.21/26.59 }.
% 26.21/26.59 (74509) {G0,W10,D2,L2,V4,M2} { ! cong( X, Y, Z, T ), cong( Z, T, X, Y )
% 26.21/26.59 }.
% 26.21/26.59 (74510) {G0,W15,D2,L3,V6,M3} { ! cong( X, Y, U, W ), ! cong( U, W, Z, T )
% 26.21/26.59 , cong( X, Y, Z, T ) }.
% 26.21/26.59 (74511) {G0,W18,D2,L2,V8,M2} { ! eqratio( X, Y, Z, T, U, W, V0, V1 ),
% 26.21/26.59 eqratio( Y, X, Z, T, U, W, V0, V1 ) }.
% 26.21/26.59 (74512) {G0,W18,D2,L2,V8,M2} { ! eqratio( X, Y, Z, T, U, W, V0, V1 ),
% 26.21/26.59 eqratio( Z, T, X, Y, V0, V1, U, W ) }.
% 26.21/26.59 (74513) {G0,W18,D2,L2,V8,M2} { ! eqratio( X, Y, Z, T, U, W, V0, V1 ),
% 26.21/26.59 eqratio( U, W, V0, V1, X, Y, Z, T ) }.
% 26.21/26.59 (74514) {G0,W18,D2,L2,V8,M2} { ! eqratio( X, Y, Z, T, U, W, V0, V1 ),
% 26.21/26.59 eqratio( X, Y, U, W, Z, T, V0, V1 ) }.
% 26.21/26.59 (74515) {G0,W27,D2,L3,V12,M3} { ! eqratio( X, Y, Z, T, V2, V3, V4, V5 ), !
% 26.21/26.59 eqratio( V2, V3, V4, V5, U, W, V0, V1 ), eqratio( X, Y, Z, T, U, W, V0,
% 26.21/26.59 V1 ) }.
% 26.21/26.59 (74516) {G0,W14,D2,L2,V6,M2} { ! simtri( X, Z, Y, T, W, U ), simtri( X, Y
% 26.21/26.59 , Z, T, U, W ) }.
% 26.21/26.59 (74517) {G0,W14,D2,L2,V6,M2} { ! simtri( Y, X, Z, U, T, W ), simtri( X, Y
% 26.21/26.59 , Z, T, U, W ) }.
% 26.21/26.59 (74518) {G0,W14,D2,L2,V6,M2} { ! simtri( T, U, W, X, Y, Z ), simtri( X, Y
% 26.21/26.59 , Z, T, U, W ) }.
% 26.21/26.59 (74519) {G0,W21,D2,L3,V9,M3} { ! simtri( X, Y, Z, V0, V1, V2 ), ! simtri(
% 26.21/26.59 V0, V1, V2, T, U, W ), simtri( X, Y, Z, T, U, W ) }.
% 26.21/26.59 (74520) {G0,W14,D2,L2,V6,M2} { ! contri( X, Z, Y, T, W, U ), contri( X, Y
% 26.21/26.59 , Z, T, U, W ) }.
% 26.21/26.59 (74521) {G0,W14,D2,L2,V6,M2} { ! contri( Y, X, Z, U, T, W ), contri( X, Y
% 26.21/26.59 , Z, T, U, W ) }.
% 26.21/26.59 (74522) {G0,W14,D2,L2,V6,M2} { ! contri( T, U, W, X, Y, Z ), contri( X, Y
% 26.21/26.59 , Z, T, U, W ) }.
% 26.21/26.59 (74523) {G0,W21,D2,L3,V9,M3} { ! contri( X, Y, Z, V0, V1, V2 ), ! contri(
% 26.21/26.59 V0, V1, V2, T, U, W ), contri( X, Y, Z, T, U, W ) }.
% 26.21/26.59 (74524) {G0,W14,D2,L2,V6,M2} { ! eqangle( X, Y, U, W, Z, T, U, W ), para(
% 26.21/26.59 X, Y, Z, T ) }.
% 26.21/26.59 (74525) {G0,W14,D2,L2,V6,M2} { ! para( X, Y, Z, T ), eqangle( X, Y, U, W,
% 26.21/26.59 Z, T, U, W ) }.
% 26.21/26.59 (74526) {G0,W14,D2,L2,V4,M2} { ! cyclic( X, Y, Z, T ), eqangle( Z, X, Z, Y
% 26.21/26.59 , T, X, T, Y ) }.
% 26.21/26.59 (74527) {G0,W18,D2,L3,V4,M3} { ! eqangle( Z, X, Z, Y, T, X, T, Y ), coll(
% 26.21/26.59 Z, T, X ), cyclic( X, Y, Z, T ) }.
% 26.21/26.59 (74528) {G0,W18,D2,L3,V4,M3} { ! eqangle( Z, X, Z, Y, T, X, T, Y ), ! coll
% 26.21/26.59 ( Z, T, Y ), cyclic( X, Y, Z, T ) }.
% 26.21/26.59 (74529) {G0,W29,D2,L5,V6,M5} { ! cyclic( X, Y, U, Z ), ! cyclic( X, Y, U,
% 26.21/26.59 T ), ! cyclic( X, Y, U, W ), ! eqangle( U, X, U, Y, W, Z, W, T ), cong( X
% 26.21/26.59 , Y, Z, T ) }.
% 26.21/26.59 (74530) {G0,W13,D2,L3,V5,M3} { ! midp( Z, U, X ), ! midp( T, U, Y ), para
% 26.21/26.59 ( Z, T, X, Y ) }.
% 26.21/26.59 (74531) {G0,W17,D2,L4,V5,M4} { ! midp( U, X, T ), ! para( U, Z, T, Y ), !
% 26.21/26.59 coll( Z, X, Y ), midp( Z, X, Y ) }.
% 26.21/26.59 (74532) {G0,W14,D2,L2,V3,M2} { ! cong( Z, X, Z, Y ), eqangle( Z, X, X, Y,
% 26.21/26.59 X, Y, Z, Y ) }.
% 26.21/26.59 (74533) {G0,W18,D2,L3,V3,M3} { ! eqangle( Z, X, X, Y, X, Y, Z, Y ), coll(
% 26.21/26.59 Z, X, Y ), cong( Z, X, Z, Y ) }.
% 26.21/26.59 (74534) {G0,W19,D2,L3,V5,M3} { ! circle( U, X, Y, Z ), ! perp( U, X, X, T
% 26.21/26.59 ), eqangle( X, T, X, Y, Z, X, Z, Y ) }.
% 26.21/26.59 (74535) {G0,W19,D2,L3,V5,M3} { ! circle( Y, X, T, U ), ! eqangle( X, Z, X
% 26.21/26.59 , T, U, X, U, T ), perp( Y, X, X, Z ) }.
% 26.21/26.59 (74536) {G0,W18,D2,L3,V5,M3} { ! circle( T, X, Y, Z ), ! midp( U, Y, Z ),
% 26.21/26.59 eqangle( X, Y, X, Z, T, Y, T, U ) }.
% 26.21/26.59 (74537) {G0,W22,D2,L4,V5,M4} { ! circle( U, T, X, Y ), ! coll( Z, X, Y ),
% 26.21/26.59 ! eqangle( T, X, T, Y, U, X, U, Z ), midp( Z, X, Y ) }.
% 26.21/26.59 (74538) {G0,W14,D2,L3,V4,M3} { ! perp( X, Y, Y, T ), ! midp( Z, X, T ),
% 26.21/26.59 cong( X, Z, Y, Z ) }.
% 26.21/26.59 (74539) {G0,W14,D2,L3,V4,M3} { ! circle( T, X, Y, Z ), ! coll( T, X, Z ),
% 26.21/26.59 perp( X, Y, Y, Z ) }.
% 26.21/26.59 (74540) {G0,W19,D2,L3,V4,M3} { ! cyclic( X, Y, Z, T ), ! para( X, Y, Z, T
% 26.21/26.59 ), eqangle( X, T, Z, T, Z, T, Z, Y ) }.
% 26.21/26.59 (74541) {G0,W14,D2,L3,V4,M3} { ! midp( T, X, Y ), ! perp( Z, T, X, Y ),
% 26.21/26.59 cong( Z, X, Z, Y ) }.
% 26.21/26.59 (74542) {G0,W15,D2,L3,V4,M3} { ! cong( X, Z, Y, Z ), ! cong( X, T, Y, T )
% 26.21/26.59 , perp( X, Y, Z, T ) }.
% 26.21/26.59 (74543) {G0,W20,D2,L4,V4,M4} { ! cong( X, Y, T, Y ), ! cong( X, Z, T, Z )
% 26.21/26.59 , ! cyclic( X, T, Y, Z ), perp( Y, X, X, Z ) }.
% 26.21/26.59 (74544) {G0,W29,D2,L4,V6,M4} { ! eqangle( X, Y, Y, Z, T, U, U, W ), !
% 26.21/26.59 eqangle( X, Z, Y, Z, T, W, U, W ), coll( X, Y, Z ), simtri( X, Y, Z, T, U
% 26.21/26.59 , W ) }.
% 26.21/26.59 (74545) {G0,W16,D2,L2,V6,M2} { ! simtri( X, Y, Z, T, U, W ), eqratio( X, Y
% 26.21/26.59 , X, Z, T, U, T, W ) }.
% 26.21/26.59 (74546) {G0,W16,D2,L2,V6,M2} { ! simtri( X, Y, Z, T, U, W ), eqangle( X, Y
% 26.21/26.59 , Y, Z, T, U, U, W ) }.
% 26.21/26.59 (74547) {G0,W19,D2,L3,V6,M3} { ! simtri( X, Y, Z, T, U, W ), ! cong( X, Y
% 26.21/26.59 , T, U ), contri( X, Y, Z, T, U, W ) }.
% 26.21/26.59 (74548) {G0,W12,D2,L2,V6,M2} { ! contri( X, Y, U, Z, T, W ), cong( X, Y, Z
% 26.21/26.59 , T ) }.
% 26.21/26.59 (74549) {G0,W13,D2,L3,V5,M3} { ! midp( U, X, Y ), ! midp( U, Z, T ), para
% 26.21/26.59 ( X, Z, Y, T ) }.
% 26.21/26.59 (74550) {G0,W18,D2,L4,V5,M4} { ! midp( Z, T, U ), ! para( T, X, U, Y ), !
% 26.21/26.59 para( T, Y, U, X ), midp( Z, X, Y ) }.
% 26.21/26.59 (74551) {G0,W22,D2,L4,V5,M4} { ! para( X, Y, Z, T ), ! coll( U, X, Z ), !
% 26.21/26.59 coll( U, Y, T ), eqratio( U, X, X, Z, U, Y, Y, T ) }.
% 26.21/26.59 (74552) {G0,W9,D2,L2,V3,M2} { ! para( X, Y, X, Z ), coll( X, Y, Z ) }.
% 26.21/26.59 (74553) {G0,W13,D2,L3,V3,M3} { ! cong( X, Y, X, Z ), ! coll( X, Y, Z ),
% 26.21/26.59 midp( X, Y, Z ) }.
% 26.21/26.59 (74554) {G0,W9,D2,L2,V3,M2} { ! midp( X, Y, Z ), cong( X, Y, X, Z ) }.
% 26.21/26.59 (74555) {G0,W8,D2,L2,V3,M2} { ! midp( X, Y, Z ), coll( X, Y, Z ) }.
% 26.21/26.59 (74556) {G0,W17,D2,L3,V6,M3} { ! midp( U, X, Y ), ! midp( W, Z, T ),
% 26.21/26.59 eqratio( U, X, X, Y, W, Z, Z, T ) }.
% 26.21/26.59 (74557) {G0,W19,D2,L3,V4,M3} { ! eqangle( X, Y, Z, T, Z, T, X, Y ), para(
% 26.21/26.59 X, Y, Z, T ), perp( X, Y, Z, T ) }.
% 26.21/26.59 (74558) {G0,W19,D2,L3,V4,M3} { ! eqangle( X, Y, Z, T, Z, T, X, Y ), perp(
% 26.21/26.59 X, Y, Z, T ), para( X, Y, Z, T ) }.
% 26.21/26.59 (74559) {G0,W19,D2,L3,V8,M3} { ! eqangle( X, Y, Z, T, U, W, V0, V1 ), !
% 26.21/26.59 para( U, W, V0, V1 ), para( X, Y, Z, T ) }.
% 26.21/26.59 (74560) {G0,W19,D2,L3,V8,M3} { ! eqangle( X, Y, Z, T, U, W, V0, V1 ), !
% 26.21/26.59 perp( U, W, V0, V1 ), perp( X, Y, Z, T ) }.
% 26.21/26.59 (74561) {G0,W19,D2,L3,V8,M3} { ! eqratio( X, Y, Z, T, U, W, V0, V1 ), !
% 26.21/26.59 cong( U, W, V0, V1 ), cong( X, Y, Z, T ) }.
% 26.21/26.59 (74562) {G0,W22,D3,L3,V6,M3} { ! perp( Z, Y, Y, X ), ! eqangle( T, Z, Y, Z
% 26.21/26.59 , Y, Z, X, Z ), coll( skol1( U, W, Z, T ), Z, T ) }.
% 26.21/26.59 (74563) {G0,W22,D3,L3,V4,M3} { ! perp( Z, Y, Y, X ), ! eqangle( T, Z, Y, Z
% 26.21/26.59 , Y, Z, X, Z ), coll( skol1( X, Y, Z, T ), X, Y ) }.
% 26.21/26.59 (74564) {G0,W22,D3,L3,V6,M3} { ! cong( Z, X, Z, Y ), ! eqangle( X, Z, Z, T
% 26.21/26.59 , Z, T, Z, Y ), coll( skol2( U, W, Z, T ), Z, T ) }.
% 26.21/26.59 (74565) {G0,W22,D3,L3,V4,M3} { ! cong( Z, X, Z, Y ), ! eqangle( X, Z, Z, T
% 26.21/26.59 , Z, T, Z, Y ), coll( Y, X, skol2( X, Y, Z, T ) ) }.
% 26.21/26.59 (74566) {G0,W22,D3,L3,V6,M3} { ! perp( Z, T, X, Y ), ! eqangle( X, Z, Z, T
% 26.21/26.59 , Z, T, Z, Y ), coll( skol3( U, W, Z, T ), Z, T ) }.
% 26.21/26.59 (74567) {G0,W22,D3,L3,V4,M3} { ! perp( Z, T, X, Y ), ! eqangle( X, Z, Z, T
% 26.21/26.59 , Z, T, Z, Y ), coll( Y, X, skol3( X, Y, Z, T ) ) }.
% 26.21/26.59 (74568) {G0,W18,D3,L3,V6,M3} { ! perp( Z, T, X, Y ), ! cong( Z, X, Z, Y )
% 26.21/26.59 , coll( skol4( U, W, Z, T ), Z, T ) }.
% 26.21/26.59 (74569) {G0,W18,D3,L3,V4,M3} { ! perp( Z, T, X, Y ), ! cong( Z, X, Z, Y )
% 26.21/26.59 , coll( Y, X, skol4( X, Y, Z, T ) ) }.
% 26.21/26.59 (74570) {G0,W22,D3,L3,V6,M3} { ! eqangle( X, Z, Y, Z, X, T, Y, U ), coll(
% 26.21/26.59 X, Y, Z ), cyclic( T, Y, Z, skol5( W, Y, Z, T ) ) }.
% 26.21/26.59 (74571) {G0,W30,D3,L3,V5,M3} { ! eqangle( X, Z, Y, Z, X, T, Y, U ), coll(
% 26.21/26.59 X, Y, Z ), eqangle( X, Z, Y, Z, X, skol5( X, Y, Z, T ), Y, skol5( X, Y, Z
% 26.21/26.59 , T ) ) }.
% 26.21/26.59 (74572) {G0,W18,D3,L3,V10,M3} { ! midp( U, X, Y ), ! midp( W, Z, T ), midp
% 26.21/26.59 ( skol6( X, V0, V1, T, V2, V3 ), X, T ) }.
% 26.21/26.59 (74573) {G0,W19,D3,L3,V8,M3} { ! midp( U, X, Y ), ! midp( W, Z, T ), para
% 26.21/26.59 ( skol6( X, V0, Z, T, V1, W ), W, X, Z ) }.
% 26.21/26.59 (74574) {G0,W19,D3,L3,V6,M3} { ! midp( U, X, Y ), ! midp( W, Z, T ), para
% 26.21/26.59 ( skol6( X, Y, Z, T, U, W ), U, Y, T ) }.
% 26.21/26.59 (74575) {G0,W22,D3,L5,V7,M5} { ! midp( Z, X, Y ), ! midp( W, T, U ), !
% 26.21/26.59 coll( T, X, Y ), ! coll( U, X, Y ), midp( skol7( X, V0 ), X, V0 ) }.
% 26.21/26.59 (74576) {G0,W26,D3,L5,V8,M5} { ! midp( T, X, U ), ! para( X, W, Z, T ), !
% 26.21/26.59 para( X, W, U, Y ), ! coll( W, Y, Z ), coll( skol8( V0, V1, Z, T ), T, Z
% 26.21/26.59 ) }.
% 26.21/26.59 (74577) {G0,W26,D3,L5,V6,M5} { ! midp( T, X, U ), ! para( X, W, Z, T ), !
% 26.21/26.59 para( X, W, U, Y ), ! coll( W, Y, Z ), coll( skol8( X, Y, Z, T ), X, Y )
% 26.21/26.59 }.
% 26.21/26.59 (74578) {G0,W19,D3,L3,V7,M3} { ! cong( T, Z, T, U ), ! perp( X, Y, Y, T )
% 26.21/26.59 , cong( T, Z, T, skol9( W, V0, Z, T ) ) }.
% 26.21/26.59 (74579) {G0,W19,D3,L3,V6,M3} { ! cong( T, Z, T, U ), ! perp( X, Y, Y, T )
% 26.21/26.59 , cong( Y, Z, Y, skol9( W, Y, Z, T ) ) }.
% 26.21/26.59 (74580) {G0,W19,D3,L3,V5,M3} { ! cong( T, Z, T, U ), ! perp( X, Y, Y, T )
% 26.21/26.59 , para( skol9( X, Y, Z, T ), Z, X, Y ) }.
% 26.21/26.59 (74581) {G0,W17,D3,L3,V5,M3} { ! perp( X, T, Y, Z ), ! perp( Y, T, X, Z )
% 26.21/26.59 , coll( skol10( U, Y, Z ), Z, Y ) }.
% 26.21/26.59 (74582) {G0,W18,D3,L3,V4,M3} { ! perp( X, T, Y, Z ), ! perp( Y, T, X, Z )
% 26.21/26.59 , perp( X, skol10( X, Y, Z ), Z, Y ) }.
% 26.21/26.59 (74583) {G0,W14,D2,L3,V4,M3} { ! perp( X, T, Y, Z ), ! perp( Y, T, X, Z )
% 26.21/26.59 , alpha1( X, Y, Z ) }.
% 26.21/26.59 (74584) {G0,W11,D3,L2,V4,M2} { ! alpha1( X, Y, Z ), coll( skol11( X, T, Z
% 26.21/26.59 ), Z, X ) }.
% 26.21/26.59 (74585) {G0,W12,D3,L2,V3,M2} { ! alpha1( X, Y, Z ), perp( Y, skol11( X, Y
% 26.21/26.59 , Z ), Z, X ) }.
% 26.21/26.59 (74586) {G0,W13,D2,L3,V4,M3} { ! coll( T, Z, X ), ! perp( Y, T, Z, X ),
% 26.21/26.59 alpha1( X, Y, Z ) }.
% 26.21/26.59 (74587) {G0,W12,D3,L2,V4,M2} { ! circle( Y, X, Z, T ), perp( skol12( X, Y
% 26.21/26.59 ), X, X, Y ) }.
% 26.21/26.59 (74588) {G0,W28,D3,L5,V8,M5} { ! circle( W, X, Y, Z ), ! cong( W, X, W, T
% 26.21/26.59 ), ! cong( U, X, U, Y ), W = U, alpha2( X, Z, U, skol13( X, V0, Z, V1, U
% 26.21/26.59 ) ) }.
% 26.21/26.59 (74589) {G0,W26,D3,L5,V8,M5} { ! circle( W, X, Y, Z ), ! cong( W, X, W, T
% 26.21/26.59 ), ! cong( U, X, U, Y ), W = U, coll( skol21( V0, Y, T, V1 ), Y, T ) }.
% 26.21/26.59 (74590) {G0,W27,D3,L5,V6,M5} { ! circle( W, X, Y, Z ), ! cong( W, X, W, T
% 26.21/26.59 ), ! cong( U, X, U, Y ), W = U, cong( skol21( X, Y, T, U ), U, U, X )
% 26.21/26.59 }.
% 26.21/26.59 (74591) {G0,W9,D2,L2,V4,M2} { ! alpha2( X, Y, Z, T ), coll( T, X, Y ) }.
% 26.21/26.59 (74592) {G0,W10,D2,L2,V4,M2} { ! alpha2( X, Y, Z, T ), cong( T, Z, Z, X )
% 26.21/26.59 }.
% 26.21/26.59 (74593) {G0,W14,D2,L3,V4,M3} { ! coll( T, X, Y ), ! cong( T, Z, Z, X ),
% 26.21/26.59 alpha2( X, Y, Z, T ) }.
% 26.21/26.59 (74594) {G0,W22,D3,L4,V5,M4} { ! cyclic( X, Y, Z, T ), ! para( X, Y, Z, T
% 26.21/26.59 ), ! midp( U, X, Y ), circle( skol14( X, Y, Z ), X, Y, Z ) }.
% 26.21/26.59 (74595) {G0,W18,D3,L3,V4,M3} { ! perp( X, Z, Z, Y ), ! cyclic( X, Y, Z, T
% 26.21/26.59 ), circle( skol15( X, Y, Z ), X, Y, Z ) }.
% 26.21/26.59 (74596) {G0,W16,D3,L3,V6,M3} { ! perp( X, U, U, T ), ! coll( T, Y, Z ),
% 26.21/26.59 coll( skol16( W, Y, Z ), Y, Z ) }.
% 26.21/26.59 (74597) {G0,W17,D3,L3,V5,M3} { ! perp( X, U, U, T ), ! coll( T, Y, Z ),
% 26.21/26.59 perp( skol16( X, Y, Z ), X, Y, Z ) }.
% 26.21/26.59 (74598) {G0,W20,D3,L4,V5,M4} { ! perp( X, Z, X, Y ), ! perp( Y, X, Y, T )
% 26.21/26.59 , ! midp( U, Z, T ), midp( skol17( X, Y ), X, Y ) }.
% 26.21/26.59 (74599) {G0,W16,D3,L3,V3,M3} { ! cong( Y, X, Y, Z ), ! perp( X, Y, Y, Z )
% 26.21/26.59 , coll( X, Y, skol18( X, Y ) ) }.
% 26.21/26.59 (74600) {G0,W17,D3,L3,V3,M3} { ! cong( Y, X, Y, Z ), ! perp( X, Y, Y, Z )
% 26.21/26.59 , cong( Y, X, Y, skol18( X, Y ) ) }.
% 26.21/26.59 (74601) {G0,W25,D3,L5,V8,M5} { ! para( U, W, X, Y ), ! coll( Z, U, X ), !
% 26.21/26.59 coll( Z, W, Y ), ! coll( T, U, W ), coll( Z, T, skol19( V0, V1, Z, T ) )
% 26.21/26.59 }.
% 26.21/26.59 (74602) {G0,W25,D3,L5,V6,M5} { ! para( U, W, X, Y ), ! coll( Z, U, X ), !
% 26.21/26.59 coll( Z, W, Y ), ! coll( T, U, W ), coll( skol19( X, Y, Z, T ), X, Y )
% 26.21/26.59 }.
% 26.21/26.59 (74603) {G0,W5,D2,L1,V0,M1} { para( skol25, skol26, skol27, skol28 ) }.
% 26.21/26.59 (74604) {G0,W5,D2,L1,V0,M1} { para( skol25, skol27, skol26, skol28 ) }.
% 26.21/26.59 (74605) {G0,W5,D2,L1,V0,M1} { perp( skol20, skol26, skol25, skol27 ) }.
% 26.21/26.59 (74606) {G0,W4,D2,L1,V0,M1} { coll( skol20, skol25, skol27 ) }.
% 26.21/26.59 (74607) {G0,W5,D2,L1,V0,M1} { perp( skol22, skol25, skol26, skol28 ) }.
% 26.21/26.59 (74608) {G0,W4,D2,L1,V0,M1} { coll( skol22, skol26, skol28 ) }.
% 26.21/26.59 (74609) {G0,W5,D2,L1,V0,M1} { perp( skol23, skol28, skol25, skol27 ) }.
% 26.21/26.59 (74610) {G0,W4,D2,L1,V0,M1} { coll( skol23, skol25, skol27 ) }.
% 26.21/26.59 (74611) {G0,W5,D2,L1,V0,M1} { perp( skol24, skol27, skol26, skol28 ) }.
% 26.21/26.59 (74612) {G0,W4,D2,L1,V0,M1} { coll( skol24, skol26, skol28 ) }.
% 26.21/26.59 (74613) {G0,W5,D2,L1,V0,M1} { ! para( skol20, skol22, skol23, skol24 ) }.
% 26.21/26.59
% 26.21/26.59
% 26.21/26.59 Total Proof:
% 26.21/26.59
% 26.21/26.59 subsumption: (0) {G0,W8,D2,L2,V3,M2} I { ! coll( X, Y, Z ), coll( X, Z, Y )
% 26.21/26.59 }.
% 26.21/26.59 parent0: (74486) {G0,W8,D2,L2,V3,M2} { ! coll( X, Y, Z ), coll( X, Z, Y )
% 26.21/26.59 }.
% 26.21/26.59 substitution0:
% 26.21/26.59 X := X
% 26.21/26.59 Y := Y
% 26.21/26.59 Z := Z
% 26.21/26.59 end
% 26.21/26.59 permutation0:
% 26.21/26.59 0 ==> 0
% 26.21/26.59 1 ==> 1
% 26.21/26.59 end
% 26.21/26.59
% 26.21/26.59 subsumption: (2) {G0,W12,D2,L3,V4,M3} I { ! coll( X, T, Y ), ! coll( X, T,
% 26.21/26.59 Z ), coll( Y, Z, X ) }.
% 26.21/26.59 parent0: (74488) {G0,W12,D2,L3,V4,M3} { ! coll( X, T, Y ), ! coll( X, T, Z
% 26.21/26.59 ), coll( Y, Z, X ) }.
% 26.21/26.59 substitution0:
% 26.21/26.59 X := X
% 26.21/26.59 Y := Y
% 26.21/26.59 Z := Z
% 26.21/26.59 T := T
% 26.21/26.59 end
% 26.21/26.59 permutation0:
% 26.21/26.59 0 ==> 0
% 26.21/26.59 1 ==> 1
% 26.21/26.59 2 ==> 2
% 26.21/26.59 end
% 26.21/26.59
% 26.21/26.59 subsumption: (3) {G0,W10,D2,L2,V4,M2} I { ! para( X, Y, Z, T ), para( X, Y
% 26.21/26.59 , T, Z ) }.
% 26.21/26.59 parent0: (74489) {G0,W10,D2,L2,V4,M2} { ! para( X, Y, Z, T ), para( X, Y,
% 26.21/26.59 T, Z ) }.
% 26.21/26.59 substitution0:
% 26.21/26.59 X := X
% 26.21/26.59 Y := Y
% 26.21/26.59 Z := Z
% 26.21/26.59 T := T
% 26.21/26.59 end
% 26.21/26.59 permutation0:
% 26.21/26.59 0 ==> 0
% 26.21/26.59 1 ==> 1
% 26.21/26.59 end
% 26.21/26.59
% 26.21/26.59 subsumption: (5) {G0,W15,D2,L3,V6,M3} I { ! para( X, Y, U, W ), ! para( U,
% 26.21/26.59 W, Z, T ), para( X, Y, Z, T ) }.
% 26.21/26.59 parent0: (74491) {G0,W15,D2,L3,V6,M3} { ! para( X, Y, U, W ), ! para( U, W
% 26.21/26.59 , Z, T ), para( X, Y, Z, T ) }.
% 26.21/26.59 substitution0:
% 26.21/26.59 X := X
% 26.21/26.59 Y := Y
% 26.21/26.59 Z := Z
% 26.21/26.59 T := T
% 26.21/26.59 U := U
% 26.21/26.59 W := W
% 26.21/26.59 end
% 26.21/26.59 permutation0:
% 26.21/26.59 0 ==> 0
% 26.21/26.59 1 ==> 1
% 26.21/26.59 2 ==> 2
% 26.21/26.59 end
% 26.21/26.59
% 26.21/26.59 subsumption: (6) {G0,W10,D2,L2,V4,M2} I { ! perp( X, Y, Z, T ), perp( X, Y
% 26.21/26.59 , T, Z ) }.
% 26.21/26.59 parent0: (74492) {G0,W10,D2,L2,V4,M2} { ! perp( X, Y, Z, T ), perp( X, Y,
% 26.21/26.59 T, Z ) }.
% 26.21/26.59 substitution0:
% 26.21/26.59 X := X
% 26.21/26.59 Y := Y
% 26.21/26.59 Z := Z
% 26.21/26.59 T := T
% 26.21/26.59 end
% 26.21/26.59 permutation0:
% 26.21/26.59 0 ==> 0
% 26.21/26.59 1 ==> 1
% 26.21/26.59 end
% 26.21/26.59
% 26.21/26.59 subsumption: (7) {G0,W10,D2,L2,V4,M2} I { ! perp( X, Y, Z, T ), perp( Z, T
% 26.21/26.59 , X, Y ) }.
% 26.21/26.59 parent0: (74493) {G0,W10,D2,L2,V4,M2} { ! perp( X, Y, Z, T ), perp( Z, T,
% 26.21/26.59 X, Y ) }.
% 26.21/26.59 substitution0:
% 26.21/26.59 X := X
% 26.21/26.59 Y := Y
% 26.21/26.59 Z := Z
% 26.21/26.59 T := T
% 26.21/26.59 end
% 26.21/26.59 permutation0:
% 26.21/26.59 0 ==> 0
% 26.21/26.59 1 ==> 1
% 26.21/26.59 end
% 26.21/26.59
% 26.21/26.59 subsumption: (8) {G0,W15,D2,L3,V6,M3} I { ! perp( X, Y, U, W ), ! perp( U,
% 26.21/26.59 W, Z, T ), para( X, Y, Z, T ) }.
% 26.21/26.59 parent0: (74494) {G0,W15,D2,L3,V6,M3} { ! perp( X, Y, U, W ), ! perp( U, W
% 26.21/26.59 , Z, T ), para( X, Y, Z, T ) }.
% 26.21/26.59 substitution0:
% 26.21/26.59 X := X
% 26.21/26.59 Y := Y
% 26.21/26.59 Z := Z
% 26.21/26.59 T := T
% 26.21/26.59 U := U
% 26.21/26.59 W := W
% 26.21/26.59 end
% 26.21/26.59 permutation0:
% 26.21/26.59 0 ==> 0
% 26.21/26.59 1 ==> 1
% 26.21/26.59 2 ==> 2
% 26.21/26.59 end
% 26.21/26.59
% 26.21/26.59 subsumption: (13) {G0,W10,D2,L2,V4,M2} I { ! cyclic( X, Y, Z, T ), cyclic(
% 26.21/26.59 X, Y, T, Z ) }.
% 26.21/26.59 parent0: (74499) {G0,W10,D2,L2,V4,M2} { ! cyclic( X, Y, Z, T ), cyclic( X
% 26.21/26.59 , Y, T, Z ) }.
% 26.21/26.59 substitution0:
% 26.21/26.59 X := X
% 26.21/26.59 Y := Y
% 26.21/26.59 Z := Z
% 26.21/26.59 T := T
% 26.21/26.59 end
% 26.21/26.59 permutation0:
% 26.21/26.59 0 ==> 0
% 26.21/26.59 1 ==> 1
% 26.21/26.59 end
% 26.21/26.59
% 26.21/26.59 subsumption: (14) {G0,W10,D2,L2,V4,M2} I { ! cyclic( X, Y, Z, T ), cyclic(
% 26.21/26.59 X, Z, Y, T ) }.
% 26.21/26.59 parent0: (74500) {G0,W10,D2,L2,V4,M2} { ! cyclic( X, Y, Z, T ), cyclic( X
% 26.21/26.59 , Z, Y, T ) }.
% 26.21/26.59 substitution0:
% 26.21/26.59 X := X
% 26.21/26.59 Y := Y
% 26.21/26.59 Z := Z
% 26.21/26.59 T := T
% 26.21/26.59 end
% 26.21/26.59 permutation0:
% 26.21/26.59 0 ==> 0
% 26.21/26.59 1 ==> 1
% 26.21/26.59 end
% 26.21/26.59
% 26.21/26.59 subsumption: (15) {G0,W10,D2,L2,V4,M2} I { ! cyclic( X, Y, Z, T ), cyclic(
% 26.21/26.59 Y, X, Z, T ) }.
% 26.21/26.59 parent0: (74501) {G0,W10,D2,L2,V4,M2} { ! cyclic( X, Y, Z, T ), cyclic( Y
% 26.21/26.59 , X, Z, T ) }.
% 26.21/26.59 substitution0:
% 26.21/26.59 X := X
% 26.21/26.59 Y := Y
% 26.21/26.59 Z := Z
% 26.21/26.59 T := T
% 26.21/26.59 end
% 26.21/26.59 permutation0:
% 26.21/26.59 0 ==> 0
% 26.21/26.59 1 ==> 1
% 26.21/26.59 end
% 26.21/26.59
% 26.21/26.59 subsumption: (16) {G0,W15,D2,L3,V5,M3} I { ! cyclic( U, X, Y, Z ), ! cyclic
% 26.21/26.59 ( U, X, Y, T ), cyclic( X, Y, Z, T ) }.
% 26.21/26.59 parent0: (74502) {G0,W15,D2,L3,V5,M3} { ! cyclic( U, X, Y, Z ), ! cyclic(
% 26.21/26.59 U, X, Y, T ), cyclic( X, Y, Z, T ) }.
% 26.21/26.59 substitution0:
% 26.21/26.59 X := X
% 26.21/26.59 Y := Y
% 26.21/26.59 Z := Z
% 26.21/26.59 T := T
% 26.21/26.59 U := U
% 26.21/26.59 end
% 26.21/26.59 permutation0:
% 26.21/26.59 0 ==> 0
% 26.21/26.59 1 ==> 1
% 26.21/26.59 2 ==> 2
% 26.21/26.59 end
% 26.21/26.59
% 26.21/26.59 subsumption: (18) {G0,W18,D2,L2,V8,M2} I { ! eqangle( X, Y, Z, T, U, W, V0
% 26.21/26.59 , V1 ), eqangle( Z, T, X, Y, V0, V1, U, W ) }.
% 26.21/26.59 parent0: (74504) {G0,W18,D2,L2,V8,M2} { ! eqangle( X, Y, Z, T, U, W, V0,
% 26.21/26.59 V1 ), eqangle( Z, T, X, Y, V0, V1, U, W ) }.
% 26.21/26.59 substitution0:
% 26.21/26.59 X := X
% 26.21/26.59 Y := Y
% 26.21/26.59 Z := Z
% 26.21/26.59 T := T
% 26.21/26.59 U := U
% 26.21/26.59 W := W
% 26.21/26.59 V0 := V0
% 26.21/26.59 V1 := V1
% 26.21/26.59 end
% 26.21/26.59 permutation0:
% 26.21/26.59 0 ==> 0
% 26.21/26.59 1 ==> 1
% 26.21/26.59 end
% 26.21/26.59
% 26.21/26.59 subsumption: (39) {G0,W14,D2,L2,V6,M2} I { ! para( X, Y, Z, T ), eqangle( X
% 26.21/26.59 , Y, U, W, Z, T, U, W ) }.
% 26.21/26.59 parent0: (74525) {G0,W14,D2,L2,V6,M2} { ! para( X, Y, Z, T ), eqangle( X,
% 26.21/26.59 Y, U, W, Z, T, U, W ) }.
% 26.21/26.59 substitution0:
% 26.21/26.59 X := X
% 26.21/26.59 Y := Y
% 26.21/26.59 Z := Z
% 26.21/26.59 T := T
% 26.21/26.59 U := U
% 26.21/26.59 W := W
% 26.21/26.59 end
% 26.21/26.59 permutation0:
% 26.21/26.59 0 ==> 0
% 26.21/26.59 1 ==> 1
% 26.21/26.59 end
% 26.21/26.59
% 26.21/26.59 subsumption: (40) {G0,W14,D2,L2,V4,M2} I { ! cyclic( X, Y, Z, T ), eqangle
% 26.21/26.59 ( Z, X, Z, Y, T, X, T, Y ) }.
% 26.21/26.59 parent0: (74526) {G0,W14,D2,L2,V4,M2} { ! cyclic( X, Y, Z, T ), eqangle( Z
% 26.21/26.59 , X, Z, Y, T, X, T, Y ) }.
% 26.21/26.59 substitution0:
% 26.21/26.59 X := X
% 26.21/26.59 Y := Y
% 26.21/26.59 Z := Z
% 26.21/26.59 T := T
% 26.21/26.59 end
% 26.21/26.59 permutation0:
% 26.21/26.59 0 ==> 0
% 26.21/26.59 1 ==> 1
% 26.21/26.59 end
% 26.21/26.59
% 26.21/26.59 subsumption: (42) {G0,W18,D2,L3,V4,M3} I { ! eqangle( Z, X, Z, Y, T, X, T,
% 26.21/26.59 Y ), ! coll( Z, T, Y ), cyclic( X, Y, Z, T ) }.
% 26.21/26.59 parent0: (74528) {G0,W18,D2,L3,V4,M3} { ! eqangle( Z, X, Z, Y, T, X, T, Y
% 26.21/26.59 ), ! coll( Z, T, Y ), cyclic( X, Y, Z, T ) }.
% 26.21/26.59 substitution0:
% 26.21/26.59 X := X
% 26.21/26.59 Y := Y
% 26.21/26.59 Z := Z
% 26.21/26.59 T := T
% 26.21/26.59 end
% 26.21/26.59 permutation0:
% 26.21/26.59 0 ==> 0
% 26.21/26.59 1 ==> 1
% 26.21/26.59 2 ==> 2
% 26.21/26.59 end
% 26.21/26.59
% 26.21/26.59 subsumption: (43) {G0,W29,D2,L5,V6,M5} I { ! cyclic( X, Y, U, Z ), ! cyclic
% 26.21/26.59 ( X, Y, U, T ), ! cyclic( X, Y, U, W ), ! eqangle( U, X, U, Y, W, Z, W, T
% 26.21/26.59 ), cong( X, Y, Z, T ) }.
% 26.21/26.59 parent0: (74529) {G0,W29,D2,L5,V6,M5} { ! cyclic( X, Y, U, Z ), ! cyclic(
% 26.21/26.59 X, Y, U, T ), ! cyclic( X, Y, U, W ), ! eqangle( U, X, U, Y, W, Z, W, T )
% 26.21/26.59 , cong( X, Y, Z, T ) }.
% 26.21/26.59 substitution0:
% 26.21/26.59 X := X
% 26.21/26.59 Y := Y
% 26.21/26.59 Z := Z
% 26.21/26.59 T := T
% 26.21/26.59 U := U
% 26.21/26.59 W := W
% 26.21/26.59 end
% 26.21/26.59 permutation0:
% 26.21/26.59 0 ==> 0
% 26.21/26.59 1 ==> 1
% 26.21/26.59 2 ==> 2
% 26.21/26.59 3 ==> 3
% 26.21/26.59 4 ==> 4
% 26.21/26.59 end
% 26.21/26.59
% 26.21/26.59 subsumption: (56) {G0,W15,D2,L3,V4,M3} I { ! cong( X, Z, Y, Z ), ! cong( X
% 26.21/26.59 , T, Y, T ), perp( X, Y, Z, T ) }.
% 26.21/26.59 parent0: (74542) {G0,W15,D2,L3,V4,M3} { ! cong( X, Z, Y, Z ), ! cong( X, T
% 26.21/26.59 , Y, T ), perp( X, Y, Z, T ) }.
% 26.21/26.59 substitution0:
% 26.21/26.59 X := X
% 26.21/26.59 Y := Y
% 26.21/26.59 Z := Z
% 26.21/26.59 T := T
% 26.21/26.59 end
% 26.21/26.59 permutation0:
% 26.21/26.59 0 ==> 0
% 26.21/26.59 1 ==> 1
% 26.21/26.59 2 ==> 2
% 26.21/26.59 end
% 26.21/26.59
% 26.21/26.59 subsumption: (66) {G0,W9,D2,L2,V3,M2} I { ! para( X, Y, X, Z ), coll( X, Y
% 26.21/26.59 , Z ) }.
% 26.21/26.59 parent0: (74552) {G0,W9,D2,L2,V3,M2} { ! para( X, Y, X, Z ), coll( X, Y, Z
% 26.21/26.59 ) }.
% 26.21/26.59 substitution0:
% 26.21/26.59 X := X
% 26.21/26.59 Y := Y
% 26.21/26.59 Z := Z
% 26.21/26.59 end
% 26.21/26.59 permutation0:
% 26.21/26.59 0 ==> 0
% 26.21/26.59 1 ==> 1
% 26.21/26.59 end
% 26.21/26.59
% 26.21/26.59 subsumption: (122) {G0,W5,D2,L1,V0,M1} I { perp( skol23, skol28, skol25,
% 26.21/26.59 skol27 ) }.
% 26.21/26.59 parent0: (74609) {G0,W5,D2,L1,V0,M1} { perp( skol23, skol28, skol25,
% 26.21/26.59 skol27 ) }.
% 26.21/26.59 substitution0:
% 26.21/26.59 end
% 26.21/26.59 permutation0:
% 26.21/26.59 0 ==> 0
% 26.21/26.59 end
% 26.21/26.59
% 26.21/26.59 subsumption: (126) {G0,W5,D2,L1,V0,M1} I { ! para( skol20, skol22, skol23,
% 26.21/26.59 skol24 ) }.
% 26.21/26.59 parent0: (74613) {G0,W5,D2,L1,V0,M1} { ! para( skol20, skol22, skol23,
% 26.21/26.59 skol24 ) }.
% 26.21/26.59 substitution0:
% 26.21/26.59 end
% 26.21/26.59 permutation0:
% 26.21/26.59 0 ==> 0
% 26.21/26.59 end
% 26.21/26.59
% 26.21/26.59 resolution: (74879) {G1,W12,D2,L3,V4,M3} { coll( X, Z, Y ), ! coll( Z, T,
% 26.21/26.59 X ), ! coll( Z, T, Y ) }.
% 26.21/26.59 parent0[0]: (0) {G0,W8,D2,L2,V3,M2} I { ! coll( X, Y, Z ), coll( X, Z, Y )
% 26.21/26.59 }.
% 26.21/26.59 parent1[2]: (2) {G0,W12,D2,L3,V4,M3} I { ! coll( X, T, Y ), ! coll( X, T, Z
% 26.21/26.59 ), coll( Y, Z, X ) }.
% 26.21/26.59 substitution0:
% 26.21/26.59 X := X
% 26.21/26.59 Y := Y
% 26.21/26.59 Z := Z
% 26.21/26.59 end
% 26.21/26.59 substitution1:
% 26.21/26.59 X := Z
% 26.21/26.59 Y := X
% 26.21/26.59 Z := Y
% 26.21/26.59 T := T
% 26.21/26.59 end
% 26.21/26.59
% 26.21/26.59 subsumption: (203) {G1,W12,D2,L3,V4,M3} R(2,0) { ! coll( X, Y, Z ), ! coll
% 26.21/26.59 ( X, Y, T ), coll( Z, X, T ) }.
% 26.21/26.59 parent0: (74879) {G1,W12,D2,L3,V4,M3} { coll( X, Z, Y ), ! coll( Z, T, X )
% 26.21/26.59 , ! coll( Z, T, Y ) }.
% 26.21/26.59 substitution0:
% 26.21/26.59 X := Z
% 26.21/26.59 Y := T
% 26.21/26.59 Z := X
% 26.21/26.59 T := Y
% 26.21/26.59 end
% 26.21/26.59 permutation0:
% 26.21/26.59 0 ==> 2
% 26.21/26.59 1 ==> 0
% 26.21/26.59 2 ==> 1
% 26.21/26.59 end
% 26.21/26.59
% 26.21/26.59 factor: (74881) {G1,W8,D2,L2,V3,M2} { ! coll( X, Y, Z ), coll( Z, X, Z )
% 26.21/26.59 }.
% 26.21/26.59 parent0[0, 1]: (203) {G1,W12,D2,L3,V4,M3} R(2,0) { ! coll( X, Y, Z ), !
% 26.21/26.59 coll( X, Y, T ), coll( Z, X, T ) }.
% 26.21/26.59 substitution0:
% 26.21/26.59 X := X
% 26.21/26.59 Y := Y
% 26.21/26.59 Z := Z
% 26.21/26.59 T := Z
% 26.21/26.59 end
% 26.21/26.59
% 26.21/26.59 subsumption: (212) {G2,W8,D2,L2,V3,M2} F(203) { ! coll( X, Y, Z ), coll( Z
% 26.21/26.59 , X, Z ) }.
% 26.21/26.59 parent0: (74881) {G1,W8,D2,L2,V3,M2} { ! coll( X, Y, Z ), coll( Z, X, Z )
% 26.21/26.59 }.
% 26.21/26.59 substitution0:
% 26.21/26.59 X := X
% 26.21/26.59 Y := Y
% 26.21/26.59 Z := Z
% 26.21/26.59 end
% 26.21/26.59 permutation0:
% 26.21/26.59 0 ==> 0
% 26.21/26.59 1 ==> 1
% 26.21/26.59 end
% 26.21/26.59
% 26.21/26.59 resolution: (74882) {G1,W5,D2,L1,V0,M1} { ! para( skol20, skol22, skol24,
% 26.21/26.59 skol23 ) }.
% 26.21/26.59 parent0[0]: (126) {G0,W5,D2,L1,V0,M1} I { ! para( skol20, skol22, skol23,
% 26.21/26.59 skol24 ) }.
% 26.21/26.59 parent1[1]: (3) {G0,W10,D2,L2,V4,M2} I { ! para( X, Y, Z, T ), para( X, Y,
% 26.21/26.59 T, Z ) }.
% 26.21/26.59 substitution0:
% 26.21/26.59 end
% 26.21/26.59 substitution1:
% 26.21/26.59 X := skol20
% 26.21/26.59 Y := skol22
% 26.21/26.59 Z := skol24
% 26.21/26.59 T := skol23
% 26.21/26.59 end
% 26.21/26.59
% 26.21/26.59 subsumption: (226) {G1,W5,D2,L1,V0,M1} R(3,126) { ! para( skol20, skol22,
% 26.21/26.59 skol24, skol23 ) }.
% 26.21/26.59 parent0: (74882) {G1,W5,D2,L1,V0,M1} { ! para( skol20, skol22, skol24,
% 26.21/26.59 skol23 ) }.
% 26.21/26.59 substitution0:
% 26.21/26.59 end
% 26.21/26.59 permutation0:
% 26.21/26.59 0 ==> 0
% 26.21/26.59 end
% 26.21/26.59
% 26.21/26.59 resolution: (74883) {G1,W10,D2,L2,V2,M2} { ! para( skol20, skol22, X, Y )
% 26.21/26.59 , ! para( X, Y, skol24, skol23 ) }.
% 26.21/26.59 parent0[0]: (226) {G1,W5,D2,L1,V0,M1} R(3,126) { ! para( skol20, skol22,
% 26.21/26.59 skol24, skol23 ) }.
% 26.21/26.59 parent1[2]: (5) {G0,W15,D2,L3,V6,M3} I { ! para( X, Y, U, W ), ! para( U, W
% 26.21/26.59 , Z, T ), para( X, Y, Z, T ) }.
% 26.21/26.59 substitution0:
% 26.21/26.59 end
% 26.21/26.59 substitution1:
% 26.21/26.59 X := skol20
% 26.21/26.59 Y := skol22
% 26.21/26.59 Z := skol24
% 26.21/26.59 T := skol23
% 26.21/26.59 U := X
% 26.21/26.59 W := Y
% 26.21/26.59 end
% 26.21/26.59
% 26.21/26.59 subsumption: (268) {G2,W10,D2,L2,V2,M2} R(226,5) { ! para( skol20, skol22,
% 26.21/26.59 X, Y ), ! para( X, Y, skol24, skol23 ) }.
% 26.21/26.59 parent0: (74883) {G1,W10,D2,L2,V2,M2} { ! para( skol20, skol22, X, Y ), !
% 26.21/26.59 para( X, Y, skol24, skol23 ) }.
% 26.21/26.59 substitution0:
% 26.21/26.59 X := X
% 26.21/26.59 Y := Y
% 26.21/26.59 end
% 26.21/26.59 permutation0:
% 26.21/26.59 0 ==> 0
% 26.21/26.59 1 ==> 1
% 26.21/26.59 end
% 26.21/26.59
% 26.21/26.59 resolution: (74884) {G1,W15,D2,L3,V6,M3} { ! perp( Z, T, U, W ), para( X,
% 26.21/26.59 Y, U, W ), ! perp( Z, T, X, Y ) }.
% 26.21/26.59 parent0[0]: (8) {G0,W15,D2,L3,V6,M3} I { ! perp( X, Y, U, W ), ! perp( U, W
% 26.21/26.59 , Z, T ), para( X, Y, Z, T ) }.
% 26.21/26.59 parent1[1]: (7) {G0,W10,D2,L2,V4,M2} I { ! perp( X, Y, Z, T ), perp( Z, T,
% 26.21/26.59 X, Y ) }.
% 26.21/26.59 substitution0:
% 26.21/26.59 X := X
% 26.21/26.59 Y := Y
% 26.21/26.59 Z := U
% 26.21/26.59 T := W
% 26.21/26.59 U := Z
% 26.21/26.59 W := T
% 26.21/26.59 end
% 26.21/26.59 substitution1:
% 26.21/26.59 X := Z
% 26.21/26.59 Y := T
% 26.21/26.59 Z := X
% 26.21/26.59 T := Y
% 26.21/26.59 end
% 26.21/26.59
% 26.21/26.59 subsumption: (285) {G1,W15,D2,L3,V6,M3} R(8,7) { ! perp( X, Y, Z, T ), para
% 26.21/26.59 ( U, W, Z, T ), ! perp( X, Y, U, W ) }.
% 26.21/26.59 parent0: (74884) {G1,W15,D2,L3,V6,M3} { ! perp( Z, T, U, W ), para( X, Y,
% 26.21/26.59 U, W ), ! perp( Z, T, X, Y ) }.
% 26.21/26.59 substitution0:
% 26.21/26.59 X := U
% 26.21/26.59 Y := W
% 26.21/26.59 Z := X
% 26.21/26.59 T := Y
% 26.21/26.59 U := Z
% 26.21/26.59 W := T
% 26.21/26.59 end
% 26.21/26.59 permutation0:
% 26.21/26.59 0 ==> 0
% 26.21/26.59 1 ==> 1
% 26.21/26.59 2 ==> 2
% 26.21/26.59 end
% 26.21/26.59
% 26.21/26.59 resolution: (74889) {G1,W15,D2,L3,V6,M3} { ! perp( X, Y, Z, T ), para( X,
% 26.21/26.59 Y, U, W ), ! perp( U, W, Z, T ) }.
% 26.21/26.59 parent0[1]: (8) {G0,W15,D2,L3,V6,M3} I { ! perp( X, Y, U, W ), ! perp( U, W
% 26.21/26.59 , Z, T ), para( X, Y, Z, T ) }.
% 26.21/26.59 parent1[1]: (7) {G0,W10,D2,L2,V4,M2} I { ! perp( X, Y, Z, T ), perp( Z, T,
% 26.21/26.59 X, Y ) }.
% 26.21/26.59 substitution0:
% 26.21/26.59 X := X
% 26.21/26.59 Y := Y
% 26.21/26.59 Z := U
% 26.21/26.59 T := W
% 26.21/26.59 U := Z
% 26.21/26.59 W := T
% 26.21/26.59 end
% 26.21/26.59 substitution1:
% 26.21/26.59 X := U
% 26.21/26.59 Y := W
% 26.21/26.59 Z := Z
% 26.21/26.59 T := T
% 26.21/26.59 end
% 26.21/26.59
% 26.21/26.59 subsumption: (286) {G1,W15,D2,L3,V6,M3} R(8,7) { ! perp( X, Y, Z, T ), para
% 26.21/26.59 ( X, Y, U, W ), ! perp( U, W, Z, T ) }.
% 26.21/26.59 parent0: (74889) {G1,W15,D2,L3,V6,M3} { ! perp( X, Y, Z, T ), para( X, Y,
% 26.21/26.59 U, W ), ! perp( U, W, Z, T ) }.
% 26.21/26.59 substitution0:
% 26.21/26.59 X := X
% 26.21/26.59 Y := Y
% 26.21/26.59 Z := Z
% 26.21/26.59 T := T
% 26.21/26.59 U := U
% 26.21/26.59 W := W
% 26.21/26.59 end
% 26.21/26.59 permutation0:
% 26.21/26.59 0 ==> 0
% 26.21/26.59 1 ==> 1
% 26.21/26.59 2 ==> 2
% 26.21/26.59 end
% 26.21/26.59
% 26.21/26.59 factor: (74892) {G1,W10,D2,L2,V4,M2} { ! perp( X, Y, Z, T ), para( X, Y, X
% 26.21/26.59 , Y ) }.
% 26.21/26.59 parent0[0, 2]: (286) {G1,W15,D2,L3,V6,M3} R(8,7) { ! perp( X, Y, Z, T ),
% 26.21/26.59 para( X, Y, U, W ), ! perp( U, W, Z, T ) }.
% 26.21/26.59 substitution0:
% 26.21/26.59 X := X
% 26.21/26.59 Y := Y
% 26.21/26.59 Z := Z
% 26.21/26.59 T := T
% 26.21/26.59 U := X
% 26.21/26.59 W := Y
% 26.21/26.59 end
% 26.21/26.59
% 26.21/26.59 subsumption: (304) {G2,W10,D2,L2,V4,M2} F(286) { ! perp( X, Y, Z, T ), para
% 26.21/26.59 ( X, Y, X, Y ) }.
% 26.21/26.59 parent0: (74892) {G1,W10,D2,L2,V4,M2} { ! perp( X, Y, Z, T ), para( X, Y,
% 26.21/26.59 X, Y ) }.
% 26.21/26.59 substitution0:
% 26.21/26.59 X := X
% 26.21/26.59 Y := Y
% 26.21/26.59 Z := Z
% 26.21/26.59 T := T
% 26.21/26.59 end
% 26.21/26.59 permutation0:
% 26.21/26.59 0 ==> 0
% 26.21/26.59 1 ==> 1
% 26.21/26.59 end
% 26.21/26.59
% 26.21/26.59 resolution: (74893) {G1,W5,D2,L1,V0,M1} { perp( skol23, skol28, skol27,
% 26.21/26.59 skol25 ) }.
% 26.21/26.59 parent0[0]: (6) {G0,W10,D2,L2,V4,M2} I { ! perp( X, Y, Z, T ), perp( X, Y,
% 26.21/26.59 T, Z ) }.
% 26.21/26.59 parent1[0]: (122) {G0,W5,D2,L1,V0,M1} I { perp( skol23, skol28, skol25,
% 26.21/26.59 skol27 ) }.
% 26.21/26.59 substitution0:
% 26.21/26.59 X := skol23
% 26.21/26.59 Y := skol28
% 26.21/26.59 Z := skol25
% 26.21/26.59 T := skol27
% 26.21/26.59 end
% 26.21/26.59 substitution1:
% 26.21/26.59 end
% 26.21/26.59
% 26.21/26.59 subsumption: (316) {G1,W5,D2,L1,V0,M1} R(122,6) { perp( skol23, skol28,
% 26.21/26.59 skol27, skol25 ) }.
% 26.21/26.59 parent0: (74893) {G1,W5,D2,L1,V0,M1} { perp( skol23, skol28, skol27,
% 26.21/26.59 skol25 ) }.
% 26.21/26.59 substitution0:
% 26.21/26.59 end
% 26.21/26.59 permutation0:
% 26.21/26.59 0 ==> 0
% 26.21/26.59 end
% 26.21/26.59
% 26.21/26.59 resolution: (74895) {G1,W10,D2,L2,V4,M2} { cyclic( X, Y, T, Z ), ! cyclic
% 26.21/26.59 ( X, Z, Y, T ) }.
% 26.21/26.59 parent0[0]: (13) {G0,W10,D2,L2,V4,M2} I { ! cyclic( X, Y, Z, T ), cyclic( X
% 26.21/26.59 , Y, T, Z ) }.
% 26.21/26.59 parent1[1]: (14) {G0,W10,D2,L2,V4,M2} I { ! cyclic( X, Y, Z, T ), cyclic( X
% 26.21/26.59 , Z, Y, T ) }.
% 26.21/26.59 substitution0:
% 26.21/26.59 X := X
% 26.21/26.59 Y := Y
% 26.21/26.59 Z := Z
% 26.21/26.59 T := T
% 26.21/26.59 end
% 26.21/26.59 substitution1:
% 26.21/26.59 X := X
% 26.21/26.59 Y := Z
% 26.21/26.59 Z := Y
% 26.21/26.59 T := T
% 26.21/26.59 end
% 26.21/26.59
% 26.21/26.59 subsumption: (413) {G1,W10,D2,L2,V4,M2} R(14,13) { ! cyclic( X, Y, Z, T ),
% 26.21/26.59 cyclic( X, Z, T, Y ) }.
% 26.21/26.59 parent0: (74895) {G1,W10,D2,L2,V4,M2} { cyclic( X, Y, T, Z ), ! cyclic( X
% 26.21/26.59 , Z, Y, T ) }.
% 26.21/26.59 substitution0:
% 26.21/26.59 X := X
% 26.21/26.59 Y := Z
% 26.21/26.59 Z := Y
% 26.21/26.59 T := T
% 26.21/26.59 end
% 26.21/26.59 permutation0:
% 26.21/26.59 0 ==> 1
% 26.21/26.59 1 ==> 0
% 26.21/26.59 end
% 26.21/26.59
% 26.21/26.59 resolution: (74896) {G1,W10,D2,L2,V4,M2} { cyclic( Y, X, Z, T ), ! cyclic
% 26.21/26.59 ( X, Z, Y, T ) }.
% 26.21/26.59 parent0[0]: (15) {G0,W10,D2,L2,V4,M2} I { ! cyclic( X, Y, Z, T ), cyclic( Y
% 26.21/26.59 , X, Z, T ) }.
% 26.21/26.59 parent1[1]: (14) {G0,W10,D2,L2,V4,M2} I { ! cyclic( X, Y, Z, T ), cyclic( X
% 26.21/26.59 , Z, Y, T ) }.
% 26.21/26.59 substitution0:
% 26.21/26.59 X := X
% 26.21/26.59 Y := Y
% 26.21/26.59 Z := Z
% 26.21/26.59 T := T
% 26.21/26.59 end
% 26.21/26.59 substitution1:
% 26.21/26.59 X := X
% 26.21/26.59 Y := Z
% 26.21/26.59 Z := Y
% 26.21/26.59 T := T
% 26.21/26.59 end
% 26.21/26.59
% 26.21/26.59 subsumption: (429) {G1,W10,D2,L2,V4,M2} R(15,14) { cyclic( X, Y, Z, T ), !
% 26.21/26.59 cyclic( Y, Z, X, T ) }.
% 26.21/26.59 parent0: (74896) {G1,W10,D2,L2,V4,M2} { cyclic( Y, X, Z, T ), ! cyclic( X
% 26.21/26.59 , Z, Y, T ) }.
% 26.21/26.59 substitution0:
% 26.21/26.59 X := Y
% 26.21/26.59 Y := X
% 26.21/26.59 Z := Z
% 26.21/26.59 T := T
% 26.21/26.59 end
% 26.21/26.59 permutation0:
% 26.21/26.59 0 ==> 0
% 26.21/26.59 1 ==> 1
% 26.21/26.59 end
% 26.21/26.59
% 26.21/26.59 resolution: (74897) {G1,W10,D2,L2,V4,M2} { cyclic( Y, X, Z, T ), ! cyclic
% 26.21/26.59 ( X, Y, T, Z ) }.
% 26.21/26.59 parent0[0]: (15) {G0,W10,D2,L2,V4,M2} I { ! cyclic( X, Y, Z, T ), cyclic( Y
% 26.21/26.59 , X, Z, T ) }.
% 26.21/26.59 parent1[1]: (13) {G0,W10,D2,L2,V4,M2} I { ! cyclic( X, Y, Z, T ), cyclic( X
% 26.21/26.59 , Y, T, Z ) }.
% 26.21/26.59 substitution0:
% 26.21/26.59 X := X
% 26.21/26.59 Y := Y
% 26.21/26.59 Z := Z
% 26.21/26.59 T := T
% 26.21/26.59 end
% 26.21/26.59 substitution1:
% 26.21/26.59 X := X
% 26.21/26.59 Y := Y
% 26.21/26.59 Z := T
% 26.21/26.59 T := Z
% 26.21/26.59 end
% 26.21/26.59
% 26.21/26.59 subsumption: (431) {G1,W10,D2,L2,V4,M2} R(15,13) { cyclic( X, Y, Z, T ), !
% 26.21/26.59 cyclic( Y, X, T, Z ) }.
% 26.21/26.59 parent0: (74897) {G1,W10,D2,L2,V4,M2} { cyclic( Y, X, Z, T ), ! cyclic( X
% 26.21/26.59 , Y, T, Z ) }.
% 26.21/26.59 substitution0:
% 26.21/26.59 X := Y
% 26.21/26.59 Y := X
% 26.21/26.59 Z := Z
% 26.21/26.59 T := T
% 26.21/26.59 end
% 26.21/26.59 permutation0:
% 26.21/26.59 0 ==> 0
% 26.21/26.59 1 ==> 1
% 26.21/26.59 end
% 26.21/26.59
% 26.21/26.59 resolution: (74901) {G1,W15,D2,L3,V5,M3} { cyclic( Y, X, Z, T ), ! cyclic
% 26.21/26.59 ( U, X, Y, Z ), ! cyclic( U, X, Y, T ) }.
% 26.21/26.59 parent0[0]: (15) {G0,W10,D2,L2,V4,M2} I { ! cyclic( X, Y, Z, T ), cyclic( Y
% 26.21/26.59 , X, Z, T ) }.
% 26.21/26.59 parent1[2]: (16) {G0,W15,D2,L3,V5,M3} I { ! cyclic( U, X, Y, Z ), ! cyclic
% 26.21/26.59 ( U, X, Y, T ), cyclic( X, Y, Z, T ) }.
% 26.21/26.59 substitution0:
% 26.21/26.59 X := X
% 26.21/26.59 Y := Y
% 26.21/26.59 Z := Z
% 26.21/26.59 T := T
% 26.21/26.59 end
% 26.21/26.59 substitution1:
% 26.21/26.59 X := X
% 26.21/26.59 Y := Y
% 26.21/26.59 Z := Z
% 26.21/26.59 T := T
% 26.21/26.59 U := U
% 26.21/26.59 end
% 26.21/26.59
% 26.21/26.59 subsumption: (457) {G1,W15,D2,L3,V5,M3} R(16,15) { ! cyclic( X, Y, Z, T ),
% 26.21/26.59 ! cyclic( X, Y, Z, U ), cyclic( Z, Y, T, U ) }.
% 26.21/26.59 parent0: (74901) {G1,W15,D2,L3,V5,M3} { cyclic( Y, X, Z, T ), ! cyclic( U
% 26.21/26.59 , X, Y, Z ), ! cyclic( U, X, Y, T ) }.
% 26.21/26.59 substitution0:
% 26.21/26.59 X := Y
% 26.21/26.59 Y := Z
% 26.21/26.59 Z := T
% 26.21/26.59 T := U
% 26.21/26.59 U := X
% 26.21/26.59 end
% 26.21/26.59 permutation0:
% 26.21/26.59 0 ==> 2
% 26.21/26.59 1 ==> 0
% 26.21/26.59 2 ==> 1
% 26.21/26.59 end
% 26.21/26.59
% 26.21/26.59 resolution: (74904) {G1,W15,D2,L3,V5,M3} { ! cyclic( X, Y, Z, T ), cyclic
% 26.21/26.59 ( Y, Z, T, U ), ! cyclic( X, Y, U, Z ) }.
% 26.21/26.59 parent0[1]: (16) {G0,W15,D2,L3,V5,M3} I { ! cyclic( U, X, Y, Z ), ! cyclic
% 26.21/26.59 ( U, X, Y, T ), cyclic( X, Y, Z, T ) }.
% 26.21/26.59 parent1[1]: (13) {G0,W10,D2,L2,V4,M2} I { ! cyclic( X, Y, Z, T ), cyclic( X
% 26.21/26.59 , Y, T, Z ) }.
% 26.21/26.59 substitution0:
% 26.21/26.59 X := Y
% 26.21/26.59 Y := Z
% 26.21/26.59 Z := T
% 26.21/26.59 T := U
% 26.21/26.59 U := X
% 26.21/26.59 end
% 26.21/26.59 substitution1:
% 26.21/26.59 X := X
% 26.21/26.59 Y := Y
% 26.21/26.59 Z := U
% 26.21/26.59 T := Z
% 26.21/26.59 end
% 26.21/26.59
% 26.21/26.59 subsumption: (462) {G1,W15,D2,L3,V5,M3} R(16,13) { ! cyclic( X, Y, Z, T ),
% 26.21/26.59 cyclic( Y, Z, T, U ), ! cyclic( X, Y, U, Z ) }.
% 26.21/26.59 parent0: (74904) {G1,W15,D2,L3,V5,M3} { ! cyclic( X, Y, Z, T ), cyclic( Y
% 26.21/26.59 , Z, T, U ), ! cyclic( X, Y, U, Z ) }.
% 26.21/26.59 substitution0:
% 26.21/26.59 X := X
% 26.21/26.59 Y := Y
% 26.21/26.59 Z := Z
% 26.21/26.59 T := T
% 26.21/26.59 U := U
% 26.21/26.59 end
% 26.21/26.59 permutation0:
% 26.21/26.59 0 ==> 0
% 26.21/26.59 1 ==> 1
% 26.21/26.59 2 ==> 2
% 26.21/26.59 end
% 26.21/26.59
% 26.21/26.59 factor: (74906) {G1,W10,D2,L2,V4,M2} { ! cyclic( X, Y, Z, T ), cyclic( Z,
% 26.21/26.59 Y, T, T ) }.
% 26.21/26.59 parent0[0, 1]: (457) {G1,W15,D2,L3,V5,M3} R(16,15) { ! cyclic( X, Y, Z, T )
% 26.21/26.59 , ! cyclic( X, Y, Z, U ), cyclic( Z, Y, T, U ) }.
% 26.21/26.59 substitution0:
% 26.21/26.59 X := X
% 26.21/26.59 Y := Y
% 26.21/26.59 Z := Z
% 26.21/26.59 T := T
% 26.21/26.59 U := T
% 26.21/26.59 end
% 26.21/26.59
% 26.21/26.59 subsumption: (466) {G2,W10,D2,L2,V4,M2} F(457) { ! cyclic( X, Y, Z, T ),
% 26.21/26.59 cyclic( Z, Y, T, T ) }.
% 26.21/26.59 parent0: (74906) {G1,W10,D2,L2,V4,M2} { ! cyclic( X, Y, Z, T ), cyclic( Z
% 26.21/26.59 , Y, T, T ) }.
% 26.21/26.59 substitution0:
% 26.21/26.59 X := X
% 26.21/26.59 Y := Y
% 26.21/26.59 Z := Z
% 26.21/26.59 T := T
% 26.21/26.59 end
% 26.21/26.59 permutation0:
% 26.21/26.59 0 ==> 0
% 26.21/26.59 1 ==> 1
% 26.21/26.59 end
% 26.21/26.59
% 26.21/26.59 resolution: (74907) {G1,W12,D2,L3,V4,M3} { coll( Z, X, Z ), ! coll( Z, T,
% 26.21/26.59 X ), ! coll( Z, T, Y ) }.
% 26.21/26.59 parent0[0]: (212) {G2,W8,D2,L2,V3,M2} F(203) { ! coll( X, Y, Z ), coll( Z,
% 26.21/26.59 X, Z ) }.
% 26.21/26.59 parent1[2]: (2) {G0,W12,D2,L3,V4,M3} I { ! coll( X, T, Y ), ! coll( X, T, Z
% 26.21/26.59 ), coll( Y, Z, X ) }.
% 26.21/26.59 substitution0:
% 26.21/26.59 X := X
% 26.21/26.59 Y := Y
% 26.21/26.59 Z := Z
% 26.21/26.59 end
% 26.21/26.59 substitution1:
% 26.21/26.59 X := Z
% 26.21/26.59 Y := X
% 26.21/26.59 Z := Y
% 26.21/26.59 T := T
% 26.21/26.59 end
% 26.21/26.59
% 26.21/26.59 subsumption: (523) {G3,W12,D2,L3,V4,M3} R(212,2) { coll( X, Y, X ), ! coll
% 26.21/26.59 ( X, Z, Y ), ! coll( X, Z, T ) }.
% 26.21/26.59 parent0: (74907) {G1,W12,D2,L3,V4,M3} { coll( Z, X, Z ), ! coll( Z, T, X )
% 26.21/26.59 , ! coll( Z, T, Y ) }.
% 26.21/26.59 substitution0:
% 26.21/26.59 X := Y
% 26.21/26.59 Y := Y
% 26.21/26.59 Z := X
% 26.21/26.59 T := Z
% 26.21/26.59 end
% 26.21/26.59 permutation0:
% 26.21/26.59 0 ==> 0
% 26.21/26.59 1 ==> 1
% 26.21/26.59 2 ==> 1
% 26.21/26.59 end
% 26.21/26.59
% 26.21/26.59 factor: (74909) {G3,W8,D2,L2,V3,M2} { coll( X, Y, X ), ! coll( X, Z, Y )
% 26.21/26.59 }.
% 26.21/26.59 parent0[1, 2]: (523) {G3,W12,D2,L3,V4,M3} R(212,2) { coll( X, Y, X ), !
% 26.21/26.59 coll( X, Z, Y ), ! coll( X, Z, T ) }.
% 26.21/26.59 substitution0:
% 26.21/26.59 X := X
% 26.21/26.59 Y := Y
% 26.21/26.59 Z := Z
% 26.21/26.59 T := Y
% 26.21/26.59 end
% 26.21/26.59
% 26.21/26.59 subsumption: (538) {G4,W8,D2,L2,V3,M2} F(523) { coll( X, Y, X ), ! coll( X
% 26.21/26.59 , Z, Y ) }.
% 26.21/26.59 parent0: (74909) {G3,W8,D2,L2,V3,M2} { coll( X, Y, X ), ! coll( X, Z, Y )
% 26.21/26.59 }.
% 26.21/26.59 substitution0:
% 26.21/26.59 X := X
% 26.21/26.59 Y := Y
% 26.21/26.59 Z := Z
% 26.21/26.59 end
% 26.21/26.59 permutation0:
% 26.21/26.59 0 ==> 0
% 26.21/26.59 1 ==> 1
% 26.21/26.59 end
% 26.21/26.59
% 26.21/26.59 resolution: (74911) {G1,W8,D2,L2,V3,M2} { coll( X, X, Y ), ! coll( X, Z, Y
% 26.21/26.59 ) }.
% 26.21/26.59 parent0[0]: (0) {G0,W8,D2,L2,V3,M2} I { ! coll( X, Y, Z ), coll( X, Z, Y )
% 26.21/26.59 }.
% 26.21/26.59 parent1[0]: (538) {G4,W8,D2,L2,V3,M2} F(523) { coll( X, Y, X ), ! coll( X,
% 26.21/26.59 Z, Y ) }.
% 26.21/26.59 substitution0:
% 26.21/26.59 X := X
% 26.21/26.59 Y := Y
% 26.21/26.59 Z := X
% 26.21/26.59 end
% 26.21/26.59 substitution1:
% 26.21/26.59 X := X
% 26.21/26.59 Y := Y
% 26.21/26.59 Z := Z
% 26.21/26.59 end
% 26.21/26.59
% 26.21/26.59 subsumption: (768) {G5,W8,D2,L2,V3,M2} R(538,0) { ! coll( X, Y, Z ), coll(
% 26.21/26.59 X, X, Z ) }.
% 26.21/26.59 parent0: (74911) {G1,W8,D2,L2,V3,M2} { coll( X, X, Y ), ! coll( X, Z, Y )
% 26.21/26.59 }.
% 26.21/26.59 substitution0:
% 26.21/26.59 X := X
% 26.21/26.59 Y := Z
% 26.21/26.59 Z := Y
% 26.21/26.59 end
% 26.21/26.59 permutation0:
% 26.21/26.59 0 ==> 1
% 26.21/26.59 1 ==> 0
% 26.21/26.59 end
% 26.21/26.59
% 26.21/26.59 resolution: (74912) {G1,W14,D2,L2,V6,M2} { eqangle( Z, T, X, Y, Z, T, U, W
% 26.21/26.59 ), ! para( X, Y, U, W ) }.
% 26.21/26.59 parent0[0]: (18) {G0,W18,D2,L2,V8,M2} I { ! eqangle( X, Y, Z, T, U, W, V0,
% 26.21/26.59 V1 ), eqangle( Z, T, X, Y, V0, V1, U, W ) }.
% 26.21/26.59 parent1[1]: (39) {G0,W14,D2,L2,V6,M2} I { ! para( X, Y, Z, T ), eqangle( X
% 26.21/26.59 , Y, U, W, Z, T, U, W ) }.
% 26.21/26.59 substitution0:
% 26.21/26.59 X := X
% 26.21/26.59 Y := Y
% 26.21/26.59 Z := Z
% 26.21/26.59 T := T
% 26.21/26.59 U := U
% 26.21/26.59 W := W
% 26.21/26.59 V0 := Z
% 26.21/26.59 V1 := T
% 26.21/26.59 end
% 26.21/26.59 substitution1:
% 26.21/26.59 X := X
% 26.21/26.59 Y := Y
% 26.21/26.59 Z := U
% 26.21/26.59 T := W
% 26.21/26.59 U := Z
% 26.21/26.59 W := T
% 26.21/26.59 end
% 26.21/26.59
% 26.21/26.59 subsumption: (834) {G1,W14,D2,L2,V6,M2} R(39,18) { ! para( X, Y, Z, T ),
% 26.21/26.59 eqangle( U, W, X, Y, U, W, Z, T ) }.
% 26.21/26.59 parent0: (74912) {G1,W14,D2,L2,V6,M2} { eqangle( Z, T, X, Y, Z, T, U, W )
% 26.21/26.59 , ! para( X, Y, U, W ) }.
% 26.21/26.59 substitution0:
% 26.21/26.59 X := X
% 26.21/26.59 Y := Y
% 26.21/26.59 Z := U
% 26.21/26.59 T := W
% 26.21/26.59 U := Z
% 26.21/26.59 W := T
% 26.21/26.59 end
% 26.21/26.59 permutation0:
% 26.21/26.59 0 ==> 1
% 26.21/26.59 1 ==> 0
% 26.21/26.59 end
% 26.21/26.59
% 26.21/26.59 resolution: (74913) {G1,W25,D2,L5,V4,M5} { ! cyclic( X, Y, Z, X ), !
% 26.21/26.59 cyclic( X, Y, Z, Y ), ! cyclic( X, Y, Z, T ), cong( X, Y, X, Y ), !
% 26.21/26.59 cyclic( X, Y, Z, T ) }.
% 26.21/26.59 parent0[3]: (43) {G0,W29,D2,L5,V6,M5} I { ! cyclic( X, Y, U, Z ), ! cyclic
% 26.21/26.59 ( X, Y, U, T ), ! cyclic( X, Y, U, W ), ! eqangle( U, X, U, Y, W, Z, W, T
% 26.21/26.59 ), cong( X, Y, Z, T ) }.
% 26.21/26.59 parent1[1]: (40) {G0,W14,D2,L2,V4,M2} I { ! cyclic( X, Y, Z, T ), eqangle(
% 26.21/26.59 Z, X, Z, Y, T, X, T, Y ) }.
% 26.21/26.59 substitution0:
% 26.21/26.59 X := X
% 26.21/26.59 Y := Y
% 26.21/26.59 Z := X
% 26.21/26.59 T := Y
% 26.21/26.59 U := Z
% 26.21/26.59 W := T
% 26.21/26.59 end
% 26.21/26.59 substitution1:
% 26.21/26.59 X := X
% 26.21/26.59 Y := Y
% 26.21/26.59 Z := Z
% 26.21/26.59 T := T
% 26.21/26.59 end
% 26.21/26.59
% 26.21/26.59 factor: (74915) {G1,W20,D2,L4,V3,M4} { ! cyclic( X, Y, Z, X ), ! cyclic( X
% 26.21/26.59 , Y, Z, Y ), cong( X, Y, X, Y ), ! cyclic( X, Y, Z, X ) }.
% 26.21/26.59 parent0[0, 2]: (74913) {G1,W25,D2,L5,V4,M5} { ! cyclic( X, Y, Z, X ), !
% 26.21/26.59 cyclic( X, Y, Z, Y ), ! cyclic( X, Y, Z, T ), cong( X, Y, X, Y ), !
% 26.21/26.59 cyclic( X, Y, Z, T ) }.
% 26.21/26.59 substitution0:
% 26.21/26.59 X := X
% 26.21/26.59 Y := Y
% 26.21/26.59 Z := Z
% 26.21/26.59 T := X
% 26.21/26.59 end
% 26.21/26.59
% 26.21/26.59 subsumption: (1039) {G1,W20,D2,L4,V4,M4} R(43,40);f { ! cyclic( X, Y, Z, X
% 26.21/26.59 ), ! cyclic( X, Y, Z, Y ), ! cyclic( X, Y, Z, T ), cong( X, Y, X, Y )
% 26.21/26.59 }.
% 26.21/26.59 parent0: (74915) {G1,W20,D2,L4,V3,M4} { ! cyclic( X, Y, Z, X ), ! cyclic(
% 26.21/26.59 X, Y, Z, Y ), cong( X, Y, X, Y ), ! cyclic( X, Y, Z, X ) }.
% 26.21/26.59 substitution0:
% 26.21/26.59 X := X
% 26.21/26.59 Y := Y
% 26.21/26.59 Z := Z
% 26.21/26.59 end
% 26.21/26.59 permutation0:
% 26.21/26.59 0 ==> 0
% 26.21/26.59 1 ==> 1
% 26.21/26.59 2 ==> 3
% 26.21/26.59 3 ==> 0
% 26.21/26.59 end
% 26.21/26.59
% 26.21/26.59 factor: (74920) {G1,W15,D2,L3,V3,M3} { ! cyclic( X, Y, Z, X ), ! cyclic( X
% 26.25/26.59 , Y, Z, Y ), cong( X, Y, X, Y ) }.
% 26.25/26.59 parent0[0, 2]: (1039) {G1,W20,D2,L4,V4,M4} R(43,40);f { ! cyclic( X, Y, Z,
% 26.25/26.59 X ), ! cyclic( X, Y, Z, Y ), ! cyclic( X, Y, Z, T ), cong( X, Y, X, Y )
% 26.25/26.59 }.
% 26.25/26.59 substitution0:
% 26.25/26.59 X := X
% 26.25/26.59 Y := Y
% 26.25/26.59 Z := Z
% 26.25/26.59 T := X
% 26.25/26.59 end
% 26.25/26.59
% 26.25/26.59 subsumption: (1071) {G2,W15,D2,L3,V3,M3} F(1039) { ! cyclic( X, Y, Z, X ),
% 26.25/26.59 ! cyclic( X, Y, Z, Y ), cong( X, Y, X, Y ) }.
% 26.25/26.59 parent0: (74920) {G1,W15,D2,L3,V3,M3} { ! cyclic( X, Y, Z, X ), ! cyclic(
% 26.25/26.59 X, Y, Z, Y ), cong( X, Y, X, Y ) }.
% 26.25/26.59 substitution0:
% 26.25/26.59 X := X
% 26.25/26.59 Y := Y
% 26.25/26.59 Z := Z
% 26.25/26.59 end
% 26.25/26.59 permutation0:
% 26.25/26.59 0 ==> 0
% 26.25/26.59 1 ==> 1
% 26.25/26.59 2 ==> 2
% 26.25/26.59 end
% 26.25/26.59
% 26.25/26.59 resolution: (74922) {G2,W5,D2,L1,V0,M1} { para( skol23, skol28, skol23,
% 26.25/26.59 skol28 ) }.
% 26.25/26.59 parent0[0]: (304) {G2,W10,D2,L2,V4,M2} F(286) { ! perp( X, Y, Z, T ), para
% 26.25/26.59 ( X, Y, X, Y ) }.
% 26.25/26.59 parent1[0]: (316) {G1,W5,D2,L1,V0,M1} R(122,6) { perp( skol23, skol28,
% 26.25/26.59 skol27, skol25 ) }.
% 26.25/26.59 substitution0:
% 26.25/26.59 X := skol23
% 26.25/26.59 Y := skol28
% 26.25/26.59 Z := skol27
% 26.25/26.59 T := skol25
% 26.25/26.59 end
% 26.25/26.59 substitution1:
% 26.25/26.59 end
% 26.25/26.59
% 26.25/26.59 subsumption: (20040) {G3,W5,D2,L1,V0,M1} R(304,316) { para( skol23, skol28
% 26.25/26.59 , skol23, skol28 ) }.
% 26.25/26.59 parent0: (74922) {G2,W5,D2,L1,V0,M1} { para( skol23, skol28, skol23,
% 26.25/26.59 skol28 ) }.
% 26.25/26.59 substitution0:
% 26.25/26.59 end
% 26.25/26.59 permutation0:
% 26.25/26.59 0 ==> 0
% 26.25/26.59 end
% 26.25/26.59
% 26.25/26.59 resolution: (74923) {G1,W4,D2,L1,V0,M1} { coll( skol23, skol28, skol28 )
% 26.25/26.59 }.
% 26.25/26.59 parent0[0]: (66) {G0,W9,D2,L2,V3,M2} I { ! para( X, Y, X, Z ), coll( X, Y,
% 26.25/26.59 Z ) }.
% 26.25/26.59 parent1[0]: (20040) {G3,W5,D2,L1,V0,M1} R(304,316) { para( skol23, skol28,
% 26.25/26.59 skol23, skol28 ) }.
% 26.25/26.59 substitution0:
% 26.25/26.59 X := skol23
% 26.25/26.59 Y := skol28
% 26.25/26.59 Z := skol28
% 26.25/26.59 end
% 26.25/26.59 substitution1:
% 26.25/26.59 end
% 26.25/26.59
% 26.25/26.59 subsumption: (20194) {G4,W4,D2,L1,V0,M1} R(20040,66) { coll( skol23, skol28
% 26.25/26.59 , skol28 ) }.
% 26.25/26.59 parent0: (74923) {G1,W4,D2,L1,V0,M1} { coll( skol23, skol28, skol28 ) }.
% 26.25/26.59 substitution0:
% 26.25/26.59 end
% 26.25/26.59 permutation0:
% 26.25/26.59 0 ==> 0
% 26.25/26.59 end
% 26.25/26.59
% 26.25/26.59 resolution: (74924) {G5,W4,D2,L1,V0,M1} { coll( skol23, skol23, skol28 )
% 26.25/26.59 }.
% 26.25/26.59 parent0[0]: (768) {G5,W8,D2,L2,V3,M2} R(538,0) { ! coll( X, Y, Z ), coll( X
% 26.25/26.59 , X, Z ) }.
% 26.25/26.59 parent1[0]: (20194) {G4,W4,D2,L1,V0,M1} R(20040,66) { coll( skol23, skol28
% 26.25/26.59 , skol28 ) }.
% 26.25/26.59 substitution0:
% 26.25/26.59 X := skol23
% 26.25/26.59 Y := skol28
% 26.25/26.59 Z := skol28
% 26.25/26.59 end
% 26.25/26.59 substitution1:
% 26.25/26.59 end
% 26.25/26.59
% 26.25/26.59 subsumption: (20234) {G6,W4,D2,L1,V0,M1} R(20194,768) { coll( skol23,
% 26.25/26.59 skol23, skol28 ) }.
% 26.25/26.59 parent0: (74924) {G5,W4,D2,L1,V0,M1} { coll( skol23, skol23, skol28 ) }.
% 26.25/26.59 substitution0:
% 26.25/26.59 end
% 26.25/26.59 permutation0:
% 26.25/26.59 0 ==> 0
% 26.25/26.59 end
% 26.25/26.59
% 26.25/26.59 resolution: (74925) {G1,W14,D2,L2,V1,M2} { ! eqangle( skol23, X, skol23,
% 26.25/26.59 skol28, skol23, X, skol23, skol28 ), cyclic( X, skol28, skol23, skol23 )
% 26.25/26.59 }.
% 26.25/26.59 parent0[1]: (42) {G0,W18,D2,L3,V4,M3} I { ! eqangle( Z, X, Z, Y, T, X, T, Y
% 26.25/26.59 ), ! coll( Z, T, Y ), cyclic( X, Y, Z, T ) }.
% 26.25/26.59 parent1[0]: (20234) {G6,W4,D2,L1,V0,M1} R(20194,768) { coll( skol23, skol23
% 26.25/26.59 , skol28 ) }.
% 26.25/26.59 substitution0:
% 26.25/26.59 X := X
% 26.25/26.59 Y := skol28
% 26.25/26.59 Z := skol23
% 26.25/26.59 T := skol23
% 26.25/26.59 end
% 26.25/26.59 substitution1:
% 26.25/26.59 end
% 26.25/26.59
% 26.25/26.59 subsumption: (21842) {G7,W14,D2,L2,V1,M2} R(20234,42) { ! eqangle( skol23,
% 26.25/26.59 X, skol23, skol28, skol23, X, skol23, skol28 ), cyclic( X, skol28, skol23
% 26.25/26.59 , skol23 ) }.
% 26.25/26.59 parent0: (74925) {G1,W14,D2,L2,V1,M2} { ! eqangle( skol23, X, skol23,
% 26.25/26.59 skol28, skol23, X, skol23, skol28 ), cyclic( X, skol28, skol23, skol23 )
% 26.25/26.59 }.
% 26.25/26.59 substitution0:
% 26.25/26.59 X := X
% 26.25/26.59 end
% 26.25/26.59 permutation0:
% 26.25/26.59 0 ==> 0
% 26.25/26.59 1 ==> 1
% 26.25/26.59 end
% 26.25/26.59
% 26.25/26.59 resolution: (74926) {G2,W9,D2,L1,V2,M1} { eqangle( X, Y, skol23, skol28, X
% 26.25/26.59 , Y, skol23, skol28 ) }.
% 26.25/26.59 parent0[0]: (834) {G1,W14,D2,L2,V6,M2} R(39,18) { ! para( X, Y, Z, T ),
% 26.25/26.59 eqangle( U, W, X, Y, U, W, Z, T ) }.
% 26.25/26.59 parent1[0]: (20040) {G3,W5,D2,L1,V0,M1} R(304,316) { para( skol23, skol28,
% 26.25/26.59 skol23, skol28 ) }.
% 26.25/26.59 substitution0:
% 26.25/26.59 X := skol23
% 26.25/26.59 Y := skol28
% 26.25/26.59 Z := skol23
% 26.25/26.59 T := skol28
% 26.25/26.59 U := X
% 26.25/26.59 W := Y
% 26.25/26.59 end
% 26.25/26.59 substitution1:
% 26.25/26.59 end
% 26.25/26.59
% 26.25/26.59 subsumption: (55496) {G4,W9,D2,L1,V2,M1} R(834,20040) { eqangle( X, Y,
% 26.25/26.59 skol23, skol28, X, Y, skol23, skol28 ) }.
% 26.25/26.59 parent0: (74926) {G2,W9,D2,L1,V2,M1} { eqangle( X, Y, skol23, skol28, X, Y
% 26.25/26.59 , skol23, skol28 ) }.
% 26.25/26.59 substitution0:
% 26.25/26.59 X := X
% 26.25/26.59 Y := Y
% 26.25/26.59 end
% 26.25/26.59 permutation0:
% 26.25/26.59 0 ==> 0
% 26.25/26.59 end
% 26.25/26.59
% 26.25/26.59 resolution: (74927) {G5,W5,D2,L1,V1,M1} { cyclic( X, skol28, skol23,
% 26.25/26.59 skol23 ) }.
% 26.25/26.59 parent0[0]: (21842) {G7,W14,D2,L2,V1,M2} R(20234,42) { ! eqangle( skol23, X
% 26.25/26.59 , skol23, skol28, skol23, X, skol23, skol28 ), cyclic( X, skol28, skol23
% 26.25/26.59 , skol23 ) }.
% 26.25/26.59 parent1[0]: (55496) {G4,W9,D2,L1,V2,M1} R(834,20040) { eqangle( X, Y,
% 26.25/26.59 skol23, skol28, X, Y, skol23, skol28 ) }.
% 26.25/26.59 substitution0:
% 26.25/26.59 X := X
% 26.25/26.59 end
% 26.25/26.59 substitution1:
% 26.25/26.59 X := skol23
% 26.25/26.59 Y := X
% 26.25/26.59 end
% 26.25/26.59
% 26.25/26.59 subsumption: (61590) {G8,W5,D2,L1,V1,M1} S(21842);r(55496) { cyclic( X,
% 26.25/26.59 skol28, skol23, skol23 ) }.
% 26.25/26.59 parent0: (74927) {G5,W5,D2,L1,V1,M1} { cyclic( X, skol28, skol23, skol23 )
% 26.25/26.59 }.
% 26.25/26.59 substitution0:
% 26.25/26.59 X := X
% 26.25/26.59 end
% 26.25/26.59 permutation0:
% 26.25/26.59 0 ==> 0
% 26.25/26.59 end
% 26.25/26.59
% 26.25/26.59 resolution: (74928) {G2,W5,D2,L1,V1,M1} { cyclic( skol28, X, skol23,
% 26.25/26.59 skol23 ) }.
% 26.25/26.59 parent0[1]: (431) {G1,W10,D2,L2,V4,M2} R(15,13) { cyclic( X, Y, Z, T ), !
% 26.25/26.59 cyclic( Y, X, T, Z ) }.
% 26.25/26.59 parent1[0]: (61590) {G8,W5,D2,L1,V1,M1} S(21842);r(55496) { cyclic( X,
% 26.25/26.59 skol28, skol23, skol23 ) }.
% 26.25/26.59 substitution0:
% 26.25/26.59 X := skol28
% 26.25/26.59 Y := X
% 26.25/26.59 Z := skol23
% 26.25/26.59 T := skol23
% 26.25/26.59 end
% 26.25/26.59 substitution1:
% 26.25/26.59 X := X
% 26.25/26.59 end
% 26.25/26.59
% 26.25/26.59 subsumption: (61628) {G9,W5,D2,L1,V1,M1} R(61590,431) { cyclic( skol28, X,
% 26.25/26.59 skol23, skol23 ) }.
% 26.25/26.59 parent0: (74928) {G2,W5,D2,L1,V1,M1} { cyclic( skol28, X, skol23, skol23 )
% 26.25/26.59 }.
% 26.25/26.59 substitution0:
% 26.25/26.59 X := X
% 26.25/26.59 end
% 26.25/26.59 permutation0:
% 26.25/26.59 0 ==> 0
% 26.25/26.59 end
% 26.25/26.59
% 26.25/26.59 resolution: (74929) {G3,W5,D2,L1,V1,M1} { cyclic( skol23, X, skol23,
% 26.25/26.59 skol23 ) }.
% 26.25/26.59 parent0[0]: (466) {G2,W10,D2,L2,V4,M2} F(457) { ! cyclic( X, Y, Z, T ),
% 26.25/26.59 cyclic( Z, Y, T, T ) }.
% 26.25/26.59 parent1[0]: (61628) {G9,W5,D2,L1,V1,M1} R(61590,431) { cyclic( skol28, X,
% 26.25/26.59 skol23, skol23 ) }.
% 26.25/26.59 substitution0:
% 26.25/26.59 X := skol28
% 26.25/26.59 Y := X
% 26.25/26.59 Z := skol23
% 26.25/26.59 T := skol23
% 26.25/26.59 end
% 26.25/26.59 substitution1:
% 26.25/26.59 X := X
% 26.25/26.59 end
% 26.25/26.59
% 26.25/26.59 subsumption: (61640) {G10,W5,D2,L1,V1,M1} R(61628,466) { cyclic( skol23, X
% 26.25/26.59 , skol23, skol23 ) }.
% 26.25/26.59 parent0: (74929) {G3,W5,D2,L1,V1,M1} { cyclic( skol23, X, skol23, skol23 )
% 26.25/26.59 }.
% 26.25/26.59 substitution0:
% 26.25/26.59 X := X
% 26.25/26.59 end
% 26.25/26.59 permutation0:
% 26.25/26.59 0 ==> 0
% 26.25/26.59 end
% 26.25/26.59
% 26.25/26.59 resolution: (74930) {G2,W5,D2,L1,V1,M1} { cyclic( skol23, skol23, X,
% 26.25/26.59 skol23 ) }.
% 26.25/26.59 parent0[1]: (429) {G1,W10,D2,L2,V4,M2} R(15,14) { cyclic( X, Y, Z, T ), !
% 26.25/26.59 cyclic( Y, Z, X, T ) }.
% 26.25/26.59 parent1[0]: (61640) {G10,W5,D2,L1,V1,M1} R(61628,466) { cyclic( skol23, X,
% 26.25/26.59 skol23, skol23 ) }.
% 26.25/26.59 substitution0:
% 26.25/26.59 X := skol23
% 26.25/26.59 Y := skol23
% 26.25/26.59 Z := X
% 26.25/26.59 T := skol23
% 26.25/26.59 end
% 26.25/26.59 substitution1:
% 26.25/26.59 X := X
% 26.25/26.59 end
% 26.25/26.59
% 26.25/26.59 subsumption: (61662) {G11,W5,D2,L1,V1,M1} R(61640,429) { cyclic( skol23,
% 26.25/26.59 skol23, X, skol23 ) }.
% 26.25/26.59 parent0: (74930) {G2,W5,D2,L1,V1,M1} { cyclic( skol23, skol23, X, skol23 )
% 26.25/26.59 }.
% 26.25/26.59 substitution0:
% 26.25/26.59 X := X
% 26.25/26.59 end
% 26.25/26.59 permutation0:
% 26.25/26.59 0 ==> 0
% 26.25/26.59 end
% 26.25/26.59
% 26.25/26.59 resolution: (74931) {G2,W5,D2,L1,V1,M1} { cyclic( skol23, skol23, skol23,
% 26.25/26.59 X ) }.
% 26.25/26.59 parent0[0]: (413) {G1,W10,D2,L2,V4,M2} R(14,13) { ! cyclic( X, Y, Z, T ),
% 26.25/26.59 cyclic( X, Z, T, Y ) }.
% 26.25/26.59 parent1[0]: (61640) {G10,W5,D2,L1,V1,M1} R(61628,466) { cyclic( skol23, X,
% 26.25/26.59 skol23, skol23 ) }.
% 26.25/26.59 substitution0:
% 26.25/26.59 X := skol23
% 26.25/26.59 Y := X
% 26.25/26.59 Z := skol23
% 26.25/26.59 T := skol23
% 26.25/26.59 end
% 26.25/26.59 substitution1:
% 26.25/26.59 X := X
% 26.25/26.59 end
% 26.25/26.59
% 26.25/26.59 subsumption: (61663) {G11,W5,D2,L1,V1,M1} R(61640,413) { cyclic( skol23,
% 26.25/26.59 skol23, skol23, X ) }.
% 26.25/26.59 parent0: (74931) {G2,W5,D2,L1,V1,M1} { cyclic( skol23, skol23, skol23, X )
% 26.25/26.59 }.
% 26.25/26.59 substitution0:
% 26.25/26.59 X := X
% 26.25/26.59 end
% 26.25/26.59 permutation0:
% 26.25/26.59 0 ==> 0
% 26.25/26.59 end
% 26.25/26.59
% 26.25/26.59 resolution: (74933) {G2,W10,D2,L2,V2,M2} { ! cyclic( skol23, skol23,
% 26.25/26.59 skol23, X ), cyclic( skol23, skol23, X, Y ) }.
% 26.25/26.59 parent0[2]: (462) {G1,W15,D2,L3,V5,M3} R(16,13) { ! cyclic( X, Y, Z, T ),
% 26.25/26.59 cyclic( Y, Z, T, U ), ! cyclic( X, Y, U, Z ) }.
% 26.25/26.59 parent1[0]: (61662) {G11,W5,D2,L1,V1,M1} R(61640,429) { cyclic( skol23,
% 26.25/26.59 skol23, X, skol23 ) }.
% 26.25/26.59 substitution0:
% 26.25/26.59 X := skol23
% 26.25/26.59 Y := skol23
% 26.25/26.59 Z := skol23
% 26.25/26.59 T := X
% 26.25/26.59 U := Y
% 26.25/26.59 end
% 26.25/26.59 substitution1:
% 26.25/26.59 X := Y
% 26.25/26.59 end
% 26.25/26.59
% 26.25/26.59 resolution: (74934) {G3,W5,D2,L1,V2,M1} { cyclic( skol23, skol23, X, Y )
% 26.25/26.59 }.
% 26.25/26.59 parent0[0]: (74933) {G2,W10,D2,L2,V2,M2} { ! cyclic( skol23, skol23,
% 26.25/26.59 skol23, X ), cyclic( skol23, skol23, X, Y ) }.
% 26.25/26.59 parent1[0]: (61663) {G11,W5,D2,L1,V1,M1} R(61640,413) { cyclic( skol23,
% 26.25/26.59 skol23, skol23, X ) }.
% 26.25/26.59 substitution0:
% 26.25/26.59 X := X
% 26.25/26.59 Y := Y
% 26.25/26.59 end
% 26.25/26.59 substitution1:
% 26.25/26.59 X := X
% 26.25/26.59 end
% 26.25/26.59
% 26.25/26.59 subsumption: (61668) {G12,W5,D2,L1,V2,M1} R(61662,462);r(61663) { cyclic(
% 26.25/26.59 skol23, skol23, X, Y ) }.
% 26.25/26.59 parent0: (74934) {G3,W5,D2,L1,V2,M1} { cyclic( skol23, skol23, X, Y ) }.
% 26.25/26.59 substitution0:
% 26.25/26.59 X := X
% 26.25/26.59 Y := Y
% 26.25/26.59 end
% 26.25/26.59 permutation0:
% 26.25/26.59 0 ==> 0
% 26.25/26.59 end
% 26.25/26.59
% 26.25/26.59 resolution: (74935) {G2,W10,D2,L2,V3,M2} { cyclic( skol23, X, Y, Z ), !
% 26.25/26.59 cyclic( skol23, skol23, Z, X ) }.
% 26.25/26.59 parent0[0]: (462) {G1,W15,D2,L3,V5,M3} R(16,13) { ! cyclic( X, Y, Z, T ),
% 26.25/26.59 cyclic( Y, Z, T, U ), ! cyclic( X, Y, U, Z ) }.
% 26.25/26.59 parent1[0]: (61668) {G12,W5,D2,L1,V2,M1} R(61662,462);r(61663) { cyclic(
% 26.25/26.59 skol23, skol23, X, Y ) }.
% 26.25/26.59 substitution0:
% 26.25/26.59 X := skol23
% 26.25/26.59 Y := skol23
% 26.25/26.59 Z := X
% 26.25/26.59 T := Y
% 26.25/26.59 U := Z
% 26.25/26.59 end
% 26.25/26.59 substitution1:
% 26.25/26.59 X := X
% 26.25/26.59 Y := Y
% 26.25/26.59 end
% 26.25/26.59
% 26.25/26.59 resolution: (74937) {G3,W5,D2,L1,V3,M1} { cyclic( skol23, X, Y, Z ) }.
% 26.25/26.59 parent0[1]: (74935) {G2,W10,D2,L2,V3,M2} { cyclic( skol23, X, Y, Z ), !
% 26.25/26.59 cyclic( skol23, skol23, Z, X ) }.
% 26.25/26.59 parent1[0]: (61668) {G12,W5,D2,L1,V2,M1} R(61662,462);r(61663) { cyclic(
% 26.25/26.59 skol23, skol23, X, Y ) }.
% 26.25/26.59 substitution0:
% 26.25/26.59 X := X
% 26.25/26.59 Y := Y
% 26.25/26.59 Z := Z
% 26.25/26.59 end
% 26.25/26.59 substitution1:
% 26.25/26.59 X := Z
% 26.25/26.59 Y := X
% 26.25/26.59 end
% 26.25/26.59
% 26.25/26.59 subsumption: (61691) {G13,W5,D2,L1,V3,M1} R(61668,462);r(61668) { cyclic(
% 26.25/26.59 skol23, X, Y, Z ) }.
% 26.25/26.59 parent0: (74937) {G3,W5,D2,L1,V3,M1} { cyclic( skol23, X, Y, Z ) }.
% 26.25/26.59 substitution0:
% 26.25/26.59 X := X
% 26.25/26.59 Y := Y
% 26.25/26.59 Z := Z
% 26.25/26.59 end
% 26.25/26.59 permutation0:
% 26.25/26.59 0 ==> 0
% 26.25/26.59 end
% 26.25/26.59
% 26.25/26.59 resolution: (74938) {G2,W10,D2,L2,V4,M2} { cyclic( X, Y, Z, T ), ! cyclic
% 26.25/26.59 ( skol23, X, T, Y ) }.
% 26.25/26.59 parent0[0]: (462) {G1,W15,D2,L3,V5,M3} R(16,13) { ! cyclic( X, Y, Z, T ),
% 26.25/26.59 cyclic( Y, Z, T, U ), ! cyclic( X, Y, U, Z ) }.
% 26.25/26.59 parent1[0]: (61691) {G13,W5,D2,L1,V3,M1} R(61668,462);r(61668) { cyclic(
% 26.25/26.59 skol23, X, Y, Z ) }.
% 26.25/26.59 substitution0:
% 26.25/26.59 X := skol23
% 26.25/26.59 Y := X
% 26.25/26.59 Z := Y
% 26.25/26.59 T := Z
% 26.25/26.59 U := T
% 26.25/26.59 end
% 26.25/26.59 substitution1:
% 26.25/26.59 X := X
% 26.25/26.59 Y := Y
% 26.25/26.59 Z := Z
% 26.25/26.59 end
% 26.25/26.59
% 26.25/26.59 resolution: (74940) {G3,W5,D2,L1,V4,M1} { cyclic( X, Y, Z, T ) }.
% 26.25/26.59 parent0[1]: (74938) {G2,W10,D2,L2,V4,M2} { cyclic( X, Y, Z, T ), ! cyclic
% 26.25/26.59 ( skol23, X, T, Y ) }.
% 26.25/26.59 parent1[0]: (61691) {G13,W5,D2,L1,V3,M1} R(61668,462);r(61668) { cyclic(
% 26.25/26.59 skol23, X, Y, Z ) }.
% 26.25/26.59 substitution0:
% 26.25/26.59 X := X
% 26.25/26.59 Y := Y
% 26.25/26.59 Z := Z
% 26.25/26.59 T := T
% 26.25/26.59 end
% 26.25/26.59 substitution1:
% 26.25/26.59 X := X
% 26.25/26.59 Y := T
% 26.25/26.59 Z := Y
% 26.25/26.59 end
% 26.25/26.59
% 26.25/26.59 subsumption: (61708) {G14,W5,D2,L1,V4,M1} R(61691,462);r(61691) { cyclic( X
% 26.25/26.59 , Y, Z, T ) }.
% 26.25/26.59 parent0: (74940) {G3,W5,D2,L1,V4,M1} { cyclic( X, Y, Z, T ) }.
% 26.25/26.59 substitution0:
% 26.25/26.59 X := X
% 26.25/26.59 Y := Y
% 26.25/26.59 Z := Z
% 26.25/26.59 T := T
% 26.25/26.59 end
% 26.25/26.59 permutation0:
% 26.25/26.59 0 ==> 0
% 26.25/26.59 end
% 26.25/26.59
% 26.25/26.59 resolution: (74943) {G3,W10,D2,L2,V3,M2} { ! cyclic( X, Y, Z, Y ), cong( X
% 26.25/26.59 , Y, X, Y ) }.
% 26.25/26.59 parent0[0]: (1071) {G2,W15,D2,L3,V3,M3} F(1039) { ! cyclic( X, Y, Z, X ), !
% 26.25/26.59 cyclic( X, Y, Z, Y ), cong( X, Y, X, Y ) }.
% 26.25/26.59 parent1[0]: (61708) {G14,W5,D2,L1,V4,M1} R(61691,462);r(61691) { cyclic( X
% 26.25/26.59 , Y, Z, T ) }.
% 26.25/26.59 substitution0:
% 26.25/26.59 X := X
% 26.25/26.59 Y := Y
% 26.25/26.59 Z := Z
% 26.25/26.59 end
% 26.25/26.59 substitution1:
% 26.25/26.59 X := X
% 26.25/26.59 Y := Y
% 26.25/26.59 Z := Z
% 26.25/26.59 T := X
% 26.25/26.59 end
% 26.25/26.59
% 26.25/26.59 resolution: (74945) {G4,W5,D2,L1,V2,M1} { cong( X, Y, X, Y ) }.
% 26.25/26.59 parent0[0]: (74943) {G3,W10,D2,L2,V3,M2} { ! cyclic( X, Y, Z, Y ), cong( X
% 26.25/26.59 , Y, X, Y ) }.
% 26.25/26.59 parent1[0]: (61708) {G14,W5,D2,L1,V4,M1} R(61691,462);r(61691) { cyclic( X
% 26.25/26.59 , Y, Z, T ) }.
% 26.25/26.59 substitution0:
% 26.25/26.59 X := X
% 26.25/26.59 Y := Y
% 26.25/26.59 Z := Z
% 26.25/26.59 end
% 26.25/26.59 substitution1:
% 26.25/26.59 X := X
% 26.25/26.59 Y := Y
% 26.25/26.59 Z := Z
% 26.25/26.59 T := Y
% 26.25/26.59 end
% 26.25/26.59
% 26.25/26.59 subsumption: (74262) {G15,W5,D2,L1,V2,M1} S(1071);r(61708);r(61708) { cong
% 26.25/26.59 ( X, Y, X, Y ) }.
% 26.25/26.59 parent0: (74945) {G4,W5,D2,L1,V2,M1} { cong( X, Y, X, Y ) }.
% 26.25/26.59 substitution0:
% 26.25/26.59 X := X
% 26.25/26.59 Y := Y
% 26.25/26.59 end
% 26.25/26.59 permutation0:
% 26.25/26.59 0 ==> 0
% 26.25/26.59 end
% 26.25/26.59
% 26.25/26.59 resolution: (74946) {G1,W10,D2,L2,V3,M2} { ! cong( X, Z, X, Z ), perp( X,
% 26.25/26.59 X, Y, Z ) }.
% 26.25/26.59 parent0[0]: (56) {G0,W15,D2,L3,V4,M3} I { ! cong( X, Z, Y, Z ), ! cong( X,
% 26.25/26.59 T, Y, T ), perp( X, Y, Z, T ) }.
% 26.25/26.59 parent1[0]: (74262) {G15,W5,D2,L1,V2,M1} S(1071);r(61708);r(61708) { cong(
% 26.25/26.59 X, Y, X, Y ) }.
% 26.25/26.59 substitution0:
% 26.25/26.59 X := X
% 26.25/26.59 Y := X
% 26.25/26.59 Z := Y
% 26.25/26.59 T := Z
% 26.25/26.59 end
% 26.25/26.59 substitution1:
% 26.25/26.59 X := X
% 26.25/26.59 Y := Y
% 26.25/26.59 end
% 26.25/26.59
% 26.25/26.59 resolution: (74948) {G2,W5,D2,L1,V3,M1} { perp( X, X, Z, Y ) }.
% 26.25/26.59 parent0[0]: (74946) {G1,W10,D2,L2,V3,M2} { ! cong( X, Z, X, Z ), perp( X,
% 26.25/26.59 X, Y, Z ) }.
% 26.25/26.59 parent1[0]: (74262) {G15,W5,D2,L1,V2,M1} S(1071);r(61708);r(61708) { cong(
% 26.25/26.59 X, Y, X, Y ) }.
% 26.25/26.59 substitution0:
% 26.25/26.59 X := X
% 26.25/26.59 Y := Z
% 26.25/26.59 Z := Y
% 26.25/26.59 end
% 26.25/26.59 substitution1:
% 26.25/26.59 X := X
% 26.25/26.59 Y := Y
% 26.25/26.59 end
% 26.25/26.59
% 26.25/26.59 subsumption: (74279) {G16,W5,D2,L1,V3,M1} R(74262,56);r(74262) { perp( X, X
% 26.25/26.59 , Z, Y ) }.
% 26.25/26.59 parent0: (74948) {G2,W5,D2,L1,V3,M1} { perp( X, X, Z, Y ) }.
% 26.25/26.59 substitution0:
% 26.25/26.59 X := X
% 26.25/26.59 Y := Y
% 26.25/26.59 Z := Z
% 26.25/26.59 end
% 26.25/26.59 permutation0:
% 26.25/26.59 0 ==> 0
% 26.25/26.59 end
% 26.25/26.59
% 26.25/26.59 resolution: (74949) {G2,W10,D2,L2,V5,M2} { para( T, U, Y, Z ), ! perp( X,
% 26.25/26.59 X, T, U ) }.
% 26.25/26.59 parent0[0]: (285) {G1,W15,D2,L3,V6,M3} R(8,7) { ! perp( X, Y, Z, T ), para
% 26.25/26.59 ( U, W, Z, T ), ! perp( X, Y, U, W ) }.
% 26.25/26.59 parent1[0]: (74279) {G16,W5,D2,L1,V3,M1} R(74262,56);r(74262) { perp( X, X
% 26.25/26.59 , Z, Y ) }.
% 26.25/26.59 substitution0:
% 26.25/26.59 X := X
% 26.25/26.59 Y := X
% 26.25/26.59 Z := Y
% 26.25/26.59 T := Z
% 26.25/26.59 U := T
% 26.25/26.59 W := U
% 26.25/26.59 end
% 26.25/26.59 substitution1:
% 26.25/26.59 X := X
% 26.25/26.59 Y := Z
% 26.25/26.59 Z := Y
% 26.25/26.59 end
% 26.25/26.59
% 26.25/26.59 resolution: (74951) {G3,W5,D2,L1,V4,M1} { para( X, Y, Z, T ) }.
% 26.25/26.59 parent0[1]: (74949) {G2,W10,D2,L2,V5,M2} { para( T, U, Y, Z ), ! perp( X,
% 26.25/26.59 X, T, U ) }.
% 26.25/26.59 parent1[0]: (74279) {G16,W5,D2,L1,V3,M1} R(74262,56);r(74262) { perp( X, X
% 26.25/26.59 , Z, Y ) }.
% 26.25/26.59 substitution0:
% 26.25/26.59 X := U
% 26.25/26.59 Y := Z
% 26.25/26.59 Z := T
% 26.25/26.59 T := X
% 26.25/26.59 U := Y
% 26.25/26.59 end
% 26.25/26.59 substitution1:
% 26.25/26.59 X := U
% 26.25/26.59 Y := Y
% 26.25/26.59 Z := X
% 26.25/26.59 end
% 26.25/26.59
% 26.25/26.59 subsumption: (74320) {G17,W5,D2,L1,V4,M1} R(74279,285);r(74279) { para( X,
% 26.25/26.59 Y, Z, T ) }.
% 26.25/26.59 parent0: (74951) {G3,W5,D2,L1,V4,M1} { para( X, Y, Z, T ) }.
% 26.25/26.59 substitution0:
% 26.25/26.59 X := X
% 26.25/26.59 Y := Y
% 26.25/26.59 Z := Z
% 26.25/26.59 T := T
% 26.25/26.59 end
% 26.25/26.59 permutation0:
% 26.25/26.59 0 ==> 0
% 26.25/26.59 end
% 26.25/26.59
% 26.25/26.59 resolution: (74952) {G3,W5,D2,L1,V2,M1} { ! para( X, Y, skol24, skol23 )
% 26.25/26.59 }.
% 26.25/26.59 parent0[0]: (268) {G2,W10,D2,L2,V2,M2} R(226,5) { ! para( skol20, skol22, X
% 26.25/26.59 , Y ), ! para( X, Y, skol24, skol23 ) }.
% 26.25/26.59 parent1[0]: (74320) {G17,W5,D2,L1,V4,M1} R(74279,285);r(74279) { para( X, Y
% 26.25/26.59 , Z, T ) }.
% 26.25/26.59 substitution0:
% 26.25/26.59 X := X
% 26.25/26.59 Y := Y
% 26.25/26.59 end
% 26.25/26.59 substitution1:
% 26.25/26.59 X := skol20
% 26.25/26.59 Y := skol22
% 26.25/26.59 Z := X
% 26.25/26.59 T := Y
% 26.25/26.59 end
% 26.25/26.59
% 26.25/26.59 resolution: (74954) {G4,W0,D0,L0,V0,M0} { }.
% 26.25/26.59 parent0[0]: (74952) {G3,W5,D2,L1,V2,M1} { ! para( X, Y, skol24, skol23 )
% 26.25/26.59 }.
% 26.25/26.59 parent1[0]: (74320) {G17,W5,D2,L1,V4,M1} R(74279,285);r(74279) { para( X, Y
% 26.25/26.59 , Z, T ) }.
% 26.25/26.59 substitution0:
% 26.25/26.59 X := X
% 26.25/26.59 Y := Y
% 26.25/26.59 end
% 26.25/26.59 substitution1:
% 26.25/26.59 X := X
% 26.25/26.59 Y := Y
% 26.25/26.59 Z := skol24
% 26.25/26.59 T := skol23
% 26.25/26.59 end
% 26.25/26.59
% 26.25/26.59 subsumption: (74484) {G18,W0,D0,L0,V0,M0} R(74320,268);r(74320) { }.
% 26.25/26.59 parent0: (74954) {G4,W0,D0,L0,V0,M0} { }.
% 26.25/26.59 substitution0:
% 26.25/26.59 end
% 26.25/26.59 permutation0:
% 26.25/26.59 end
% 26.25/26.59
% 26.25/26.59 Proof check complete!
% 26.25/26.59
% 26.25/26.59 Memory use:
% 26.25/26.59
% 26.25/26.59 space for terms: 1006350
% 26.25/26.59 space for clauses: 3241122
% 26.25/26.59
% 26.25/26.59
% 26.25/26.59 clauses generated: 488027
% 26.25/26.59 clauses kept: 74485
% 26.25/26.59 clauses selected: 3748
% 26.25/26.59 clauses deleted: 8350
% 26.25/26.59 clauses inuse deleted: 241
% 26.25/26.59
% 26.25/26.59 subsentry: 25278640
% 26.25/26.59 literals s-matched: 13962617
% 26.25/26.59 literals matched: 7669411
% 26.25/26.59 full subsumption: 2600460
% 26.25/26.59
% 26.25/26.59 checksum: 1972357501
% 26.25/26.59
% 26.25/26.59
% 26.25/26.59 Bliksem ended
%------------------------------------------------------------------------------