TSTP Solution File: GEO555+1 by Bliksem---1.12
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : GEO555+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 12.86s 13.24s
% Output : Refutation 12.86s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12 % Problem : GEO555+1 : TPTP v8.1.0. Released v7.5.0.
% 0.10/0.13 % Command : bliksem %s
% 0.13/0.34 % Computer : n013.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % DateTime : Sat Jun 18 15:30:14 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.84/1.24 *** allocated 10000 integers for termspace/termends
% 0.84/1.24 *** allocated 10000 integers for clauses
% 0.84/1.24 *** allocated 10000 integers for justifications
% 0.84/1.24 Bliksem 1.12
% 0.84/1.24
% 0.84/1.24
% 0.84/1.24 Automatic Strategy Selection
% 0.84/1.24
% 0.84/1.24 *** allocated 15000 integers for termspace/termends
% 0.84/1.24
% 0.84/1.24 Clauses:
% 0.84/1.24
% 0.84/1.24 { ! coll( X, Y, Z ), coll( X, Z, Y ) }.
% 0.84/1.24 { ! coll( X, Y, Z ), coll( Y, X, Z ) }.
% 0.84/1.24 { ! coll( X, T, Y ), ! coll( X, T, Z ), coll( Y, Z, X ) }.
% 0.84/1.24 { ! para( X, Y, Z, T ), para( X, Y, T, Z ) }.
% 0.84/1.24 { ! para( X, Y, Z, T ), para( Z, T, X, Y ) }.
% 0.84/1.24 { ! para( X, Y, U, W ), ! para( U, W, Z, T ), para( X, Y, Z, T ) }.
% 0.84/1.24 { ! perp( X, Y, Z, T ), perp( X, Y, T, Z ) }.
% 0.84/1.24 { ! perp( X, Y, Z, T ), perp( Z, T, X, Y ) }.
% 0.84/1.24 { ! perp( X, Y, U, W ), ! perp( U, W, Z, T ), para( X, Y, Z, T ) }.
% 0.84/1.24 { ! para( X, Y, U, W ), ! perp( U, W, Z, T ), perp( X, Y, Z, T ) }.
% 0.84/1.24 { ! midp( Z, Y, X ), midp( Z, X, Y ) }.
% 0.84/1.24 { ! cong( T, X, T, Y ), ! cong( T, X, T, Z ), circle( T, X, Y, Z ) }.
% 0.84/1.24 { ! cong( U, X, U, Y ), ! cong( U, X, U, Z ), ! cong( U, X, U, T ), cyclic
% 0.84/1.24 ( X, Y, Z, T ) }.
% 0.84/1.24 { ! cyclic( X, Y, Z, T ), cyclic( X, Y, T, Z ) }.
% 0.84/1.24 { ! cyclic( X, Y, Z, T ), cyclic( X, Z, Y, T ) }.
% 0.84/1.24 { ! cyclic( X, Y, Z, T ), cyclic( Y, X, Z, T ) }.
% 0.84/1.24 { ! cyclic( U, X, Y, Z ), ! cyclic( U, X, Y, T ), cyclic( X, Y, Z, T ) }.
% 0.84/1.24 { ! eqangle( X, Y, Z, T, U, W, V0, V1 ), eqangle( Y, X, Z, T, U, W, V0, V1
% 0.84/1.24 ) }.
% 0.84/1.24 { ! eqangle( X, Y, Z, T, U, W, V0, V1 ), eqangle( Z, T, X, Y, V0, V1, U, W
% 0.84/1.24 ) }.
% 0.84/1.24 { ! eqangle( X, Y, Z, T, U, W, V0, V1 ), eqangle( U, W, V0, V1, X, Y, Z, T
% 0.84/1.24 ) }.
% 0.84/1.24 { ! eqangle( X, Y, Z, T, U, W, V0, V1 ), eqangle( X, Y, U, W, Z, T, V0, V1
% 0.84/1.24 ) }.
% 0.84/1.24 { ! eqangle( X, Y, Z, T, V2, V3, V4, V5 ), ! eqangle( V2, V3, V4, V5, U, W
% 0.84/1.24 , V0, V1 ), eqangle( X, Y, Z, T, U, W, V0, V1 ) }.
% 0.84/1.24 { ! cong( X, Y, Z, T ), cong( X, Y, T, Z ) }.
% 0.84/1.24 { ! cong( X, Y, Z, T ), cong( Z, T, X, Y ) }.
% 0.84/1.24 { ! cong( X, Y, U, W ), ! cong( U, W, Z, T ), cong( X, Y, Z, T ) }.
% 0.84/1.24 { ! eqratio( X, Y, Z, T, U, W, V0, V1 ), eqratio( Y, X, Z, T, U, W, V0, V1
% 0.84/1.24 ) }.
% 0.84/1.24 { ! eqratio( X, Y, Z, T, U, W, V0, V1 ), eqratio( Z, T, X, Y, V0, V1, U, W
% 0.84/1.24 ) }.
% 0.84/1.24 { ! eqratio( X, Y, Z, T, U, W, V0, V1 ), eqratio( U, W, V0, V1, X, Y, Z, T
% 0.84/1.24 ) }.
% 0.84/1.24 { ! eqratio( X, Y, Z, T, U, W, V0, V1 ), eqratio( X, Y, U, W, Z, T, V0, V1
% 0.84/1.24 ) }.
% 0.84/1.24 { ! eqratio( X, Y, Z, T, V2, V3, V4, V5 ), ! eqratio( V2, V3, V4, V5, U, W
% 0.84/1.24 , V0, V1 ), eqratio( X, Y, Z, T, U, W, V0, V1 ) }.
% 0.84/1.24 { ! simtri( X, Z, Y, T, W, U ), simtri( X, Y, Z, T, U, W ) }.
% 0.84/1.24 { ! simtri( Y, X, Z, U, T, W ), simtri( X, Y, Z, T, U, W ) }.
% 0.84/1.24 { ! simtri( T, U, W, X, Y, Z ), simtri( X, Y, Z, T, U, W ) }.
% 0.84/1.24 { ! simtri( X, Y, Z, V0, V1, V2 ), ! simtri( V0, V1, V2, T, U, W ), simtri
% 0.84/1.24 ( X, Y, Z, T, U, W ) }.
% 0.84/1.24 { ! contri( X, Z, Y, T, W, U ), contri( X, Y, Z, T, U, W ) }.
% 0.84/1.24 { ! contri( Y, X, Z, U, T, W ), contri( X, Y, Z, T, U, W ) }.
% 0.84/1.24 { ! contri( T, U, W, X, Y, Z ), contri( X, Y, Z, T, U, W ) }.
% 0.84/1.24 { ! contri( X, Y, Z, V0, V1, V2 ), ! contri( V0, V1, V2, T, U, W ), contri
% 0.84/1.24 ( X, Y, Z, T, U, W ) }.
% 0.84/1.24 { ! eqangle( X, Y, U, W, Z, T, U, W ), para( X, Y, Z, T ) }.
% 0.84/1.24 { ! para( X, Y, Z, T ), eqangle( X, Y, U, W, Z, T, U, W ) }.
% 0.84/1.24 { ! cyclic( X, Y, Z, T ), eqangle( Z, X, Z, Y, T, X, T, Y ) }.
% 0.84/1.24 { ! eqangle( Z, X, Z, Y, T, X, T, Y ), coll( Z, T, X ), cyclic( X, Y, Z, T
% 0.84/1.24 ) }.
% 0.84/1.24 { ! eqangle( Z, X, Z, Y, T, X, T, Y ), ! coll( Z, T, Y ), cyclic( X, Y, Z,
% 0.84/1.24 T ) }.
% 0.84/1.24 { ! cyclic( X, Y, U, Z ), ! cyclic( X, Y, U, T ), ! cyclic( X, Y, U, W ), !
% 0.84/1.24 eqangle( U, X, U, Y, W, Z, W, T ), cong( X, Y, Z, T ) }.
% 0.84/1.24 { ! midp( Z, U, X ), ! midp( T, U, Y ), para( Z, T, X, Y ) }.
% 0.84/1.24 { ! midp( U, X, T ), ! para( U, Z, T, Y ), ! coll( Z, X, Y ), midp( Z, X, Y
% 0.84/1.24 ) }.
% 0.84/1.24 { ! cong( Z, X, Z, Y ), eqangle( Z, X, X, Y, X, Y, Z, Y ) }.
% 0.84/1.24 { ! eqangle( Z, X, X, Y, X, Y, Z, Y ), coll( Z, X, Y ), cong( Z, X, Z, Y )
% 0.84/1.24 }.
% 0.84/1.24 { ! circle( U, X, Y, Z ), ! perp( U, X, X, T ), eqangle( X, T, X, Y, Z, X,
% 0.84/1.24 Z, Y ) }.
% 0.84/1.24 { ! circle( Y, X, T, U ), ! eqangle( X, Z, X, T, U, X, U, T ), perp( Y, X,
% 0.84/1.24 X, Z ) }.
% 0.84/1.24 { ! circle( T, X, Y, Z ), ! midp( U, Y, Z ), eqangle( X, Y, X, Z, T, Y, T,
% 0.84/1.24 U ) }.
% 0.84/1.24 { ! circle( U, T, X, Y ), ! coll( Z, X, Y ), ! eqangle( T, X, T, Y, U, X, U
% 0.84/1.24 , Z ), midp( Z, X, Y ) }.
% 0.84/1.24 { ! perp( X, Y, Y, T ), ! midp( Z, X, T ), cong( X, Z, Y, Z ) }.
% 0.84/1.24 { ! circle( T, X, Y, Z ), ! coll( T, X, Z ), perp( X, Y, Y, Z ) }.
% 0.84/1.24 { ! cyclic( X, Y, Z, T ), ! para( X, Y, Z, T ), eqangle( X, T, Z, T, Z, T,
% 0.84/1.24 Z, Y ) }.
% 0.84/1.24 { ! midp( T, X, Y ), ! perp( Z, T, X, Y ), cong( Z, X, Z, Y ) }.
% 0.84/1.24 { ! cong( X, Z, Y, Z ), ! cong( X, T, Y, T ), perp( X, Y, Z, T ) }.
% 0.84/1.24 { ! cong( X, Y, T, Y ), ! cong( X, Z, T, Z ), ! cyclic( X, T, Y, Z ), perp
% 0.84/1.24 ( Y, X, X, Z ) }.
% 0.84/1.24 { ! eqangle( X, Y, Y, Z, T, U, U, W ), ! eqangle( X, Z, Y, Z, T, W, U, W )
% 0.84/1.24 , coll( X, Y, Z ), simtri( X, Y, Z, T, U, W ) }.
% 0.84/1.24 { ! simtri( X, Y, Z, T, U, W ), eqratio( X, Y, X, Z, T, U, T, W ) }.
% 0.84/1.24 { ! simtri( X, Y, Z, T, U, W ), eqangle( X, Y, Y, Z, T, U, U, W ) }.
% 0.84/1.24 { ! simtri( X, Y, Z, T, U, W ), ! cong( X, Y, T, U ), contri( X, Y, Z, T, U
% 0.84/1.24 , W ) }.
% 0.84/1.24 { ! contri( X, Y, U, Z, T, W ), cong( X, Y, Z, T ) }.
% 0.84/1.24 { ! midp( U, X, Y ), ! midp( U, Z, T ), para( X, Z, Y, T ) }.
% 0.84/1.24 { ! midp( Z, T, U ), ! para( T, X, U, Y ), ! para( T, Y, U, X ), midp( Z, X
% 0.84/1.24 , Y ) }.
% 0.84/1.24 { ! para( X, Y, Z, T ), ! coll( U, X, Z ), ! coll( U, Y, T ), eqratio( U, X
% 0.84/1.24 , X, Z, U, Y, Y, T ) }.
% 0.84/1.24 { ! para( X, Y, X, Z ), coll( X, Y, Z ) }.
% 0.84/1.24 { ! cong( X, Y, X, Z ), ! coll( X, Y, Z ), midp( X, Y, Z ) }.
% 0.84/1.24 { ! midp( X, Y, Z ), cong( X, Y, X, Z ) }.
% 0.84/1.24 { ! midp( X, Y, Z ), coll( X, Y, Z ) }.
% 0.84/1.24 { ! midp( U, X, Y ), ! midp( W, Z, T ), eqratio( U, X, X, Y, W, Z, Z, T ) }
% 0.84/1.24 .
% 0.84/1.24 { ! eqangle( X, Y, Z, T, Z, T, X, Y ), para( X, Y, Z, T ), perp( X, Y, Z, T
% 0.84/1.24 ) }.
% 0.84/1.24 { ! eqangle( X, Y, Z, T, Z, T, X, Y ), perp( X, Y, Z, T ), para( X, Y, Z, T
% 0.84/1.24 ) }.
% 0.84/1.24 { ! eqangle( X, Y, Z, T, U, W, V0, V1 ), ! para( U, W, V0, V1 ), para( X, Y
% 0.84/1.24 , Z, T ) }.
% 0.84/1.24 { ! eqangle( X, Y, Z, T, U, W, V0, V1 ), ! perp( U, W, V0, V1 ), perp( X, Y
% 0.84/1.24 , Z, T ) }.
% 0.84/1.24 { ! eqratio( X, Y, Z, T, U, W, V0, V1 ), ! cong( U, W, V0, V1 ), cong( X, Y
% 0.84/1.24 , Z, T ) }.
% 0.84/1.24 { ! perp( Z, Y, Y, X ), ! eqangle( T, Z, Y, Z, Y, Z, X, Z ), coll( skol1( U
% 0.84/1.24 , W, Z, T ), Z, T ) }.
% 0.84/1.24 { ! perp( Z, Y, Y, X ), ! eqangle( T, Z, Y, Z, Y, Z, X, Z ), coll( skol1( X
% 0.84/1.24 , Y, Z, T ), X, Y ) }.
% 0.84/1.24 { ! cong( Z, X, Z, Y ), ! eqangle( X, Z, Z, T, Z, T, Z, Y ), coll( skol2( U
% 0.84/1.24 , W, Z, T ), Z, T ) }.
% 0.84/1.24 { ! cong( Z, X, Z, Y ), ! eqangle( X, Z, Z, T, Z, T, Z, Y ), coll( Y, X,
% 0.84/1.24 skol2( X, Y, Z, T ) ) }.
% 0.84/1.24 { ! perp( Z, T, X, Y ), ! eqangle( X, Z, Z, T, Z, T, Z, Y ), coll( skol3( U
% 0.84/1.24 , W, Z, T ), Z, T ) }.
% 0.84/1.24 { ! perp( Z, T, X, Y ), ! eqangle( X, Z, Z, T, Z, T, Z, Y ), coll( Y, X,
% 0.84/1.24 skol3( X, Y, Z, T ) ) }.
% 0.84/1.24 { ! perp( Z, T, X, Y ), ! cong( Z, X, Z, Y ), coll( skol4( U, W, Z, T ), Z
% 0.84/1.24 , T ) }.
% 0.84/1.24 { ! perp( Z, T, X, Y ), ! cong( Z, X, Z, Y ), coll( Y, X, skol4( X, Y, Z, T
% 0.84/1.24 ) ) }.
% 0.84/1.24 { ! eqangle( X, Z, Y, Z, X, T, Y, U ), coll( X, Y, Z ), cyclic( T, Y, Z,
% 0.84/1.24 skol5( W, Y, Z, T ) ) }.
% 0.84/1.24 { ! eqangle( X, Z, Y, Z, X, T, Y, U ), coll( X, Y, Z ), eqangle( X, Z, Y, Z
% 0.84/1.24 , X, skol5( X, Y, Z, T ), Y, skol5( X, Y, Z, T ) ) }.
% 0.84/1.24 { ! midp( U, X, Y ), ! midp( W, Z, T ), midp( skol6( X, V0, V1, T, V2, V3 )
% 0.84/1.24 , X, T ) }.
% 0.84/1.24 { ! midp( U, X, Y ), ! midp( W, Z, T ), para( skol6( X, V0, Z, T, V1, W ),
% 0.84/1.24 W, X, Z ) }.
% 0.84/1.24 { ! midp( U, X, Y ), ! midp( W, Z, T ), para( skol6( X, Y, Z, T, U, W ), U
% 0.84/1.24 , Y, T ) }.
% 0.84/1.24 { ! midp( Z, X, Y ), ! midp( W, T, U ), ! coll( T, X, Y ), ! coll( U, X, Y
% 0.84/1.24 ), midp( skol7( X, V0 ), X, V0 ) }.
% 0.84/1.24 { ! midp( T, X, U ), ! para( X, W, Z, T ), ! para( X, W, U, Y ), ! coll( W
% 0.84/1.24 , Y, Z ), coll( skol8( V0, V1, Z, T ), T, Z ) }.
% 0.84/1.24 { ! midp( T, X, U ), ! para( X, W, Z, T ), ! para( X, W, U, Y ), ! coll( W
% 0.84/1.24 , Y, Z ), coll( skol8( X, Y, Z, T ), X, Y ) }.
% 0.84/1.24 { ! cong( T, Z, T, U ), ! perp( X, Y, Y, T ), cong( T, Z, T, skol9( W, V0,
% 0.84/1.24 Z, T ) ) }.
% 0.84/1.24 { ! cong( T, Z, T, U ), ! perp( X, Y, Y, T ), cong( Y, Z, Y, skol9( W, Y, Z
% 0.84/1.24 , T ) ) }.
% 0.84/1.24 { ! cong( T, Z, T, U ), ! perp( X, Y, Y, T ), para( skol9( X, Y, Z, T ), Z
% 0.84/1.24 , X, Y ) }.
% 0.84/1.24 { ! perp( X, T, Y, Z ), ! perp( Y, T, X, Z ), coll( skol10( U, Y, Z ), Z, Y
% 0.84/1.24 ) }.
% 0.84/1.24 { ! perp( X, T, Y, Z ), ! perp( Y, T, X, Z ), perp( X, skol10( X, Y, Z ), Z
% 0.84/1.24 , Y ) }.
% 0.84/1.24 { ! perp( X, T, Y, Z ), ! perp( Y, T, X, Z ), alpha1( X, Y, Z ) }.
% 0.84/1.24 { ! alpha1( X, Y, Z ), coll( skol11( X, T, Z ), Z, X ) }.
% 0.84/1.24 { ! alpha1( X, Y, Z ), perp( Y, skol11( X, Y, Z ), Z, X ) }.
% 0.84/1.24 { ! coll( T, Z, X ), ! perp( Y, T, Z, X ), alpha1( X, Y, Z ) }.
% 0.84/1.24 { ! circle( Y, X, Z, T ), perp( skol12( X, Y ), X, X, Y ) }.
% 3.07/3.46 { ! circle( W, X, Y, Z ), ! cong( W, X, W, T ), ! cong( U, X, U, Y ), W = U
% 3.07/3.46 , alpha2( X, Z, U, skol13( X, V0, Z, V1, U ) ) }.
% 3.07/3.46 { ! circle( W, X, Y, Z ), ! cong( W, X, W, T ), ! cong( U, X, U, Y ), W = U
% 3.07/3.46 , coll( skol21( V0, Y, T, V1 ), Y, T ) }.
% 3.07/3.46 { ! circle( W, X, Y, Z ), ! cong( W, X, W, T ), ! cong( U, X, U, Y ), W = U
% 3.07/3.46 , cong( skol21( X, Y, T, U ), U, U, X ) }.
% 3.07/3.46 { ! alpha2( X, Y, Z, T ), coll( T, X, Y ) }.
% 3.07/3.46 { ! alpha2( X, Y, Z, T ), cong( T, Z, Z, X ) }.
% 3.07/3.46 { ! coll( T, X, Y ), ! cong( T, Z, Z, X ), alpha2( X, Y, Z, T ) }.
% 3.07/3.46 { ! cyclic( X, Y, Z, T ), ! para( X, Y, Z, T ), ! midp( U, X, Y ), circle(
% 3.07/3.46 skol14( X, Y, Z ), X, Y, Z ) }.
% 3.07/3.46 { ! perp( X, Z, Z, Y ), ! cyclic( X, Y, Z, T ), circle( skol15( X, Y, Z ),
% 3.07/3.46 X, Y, Z ) }.
% 3.07/3.46 { ! perp( X, U, U, T ), ! coll( T, Y, Z ), coll( skol16( W, Y, Z ), Y, Z )
% 3.07/3.46 }.
% 3.07/3.46 { ! perp( X, U, U, T ), ! coll( T, Y, Z ), perp( skol16( X, Y, Z ), X, Y, Z
% 3.07/3.46 ) }.
% 3.07/3.46 { ! perp( X, Z, X, Y ), ! perp( Y, X, Y, T ), ! midp( U, Z, T ), midp(
% 3.07/3.46 skol17( X, Y ), X, Y ) }.
% 3.07/3.46 { ! cong( Y, X, Y, Z ), ! perp( X, Y, Y, Z ), coll( X, Y, skol18( X, Y ) )
% 3.07/3.46 }.
% 3.07/3.46 { ! cong( Y, X, Y, Z ), ! perp( X, Y, Y, Z ), cong( Y, X, Y, skol18( X, Y )
% 3.07/3.46 ) }.
% 3.07/3.46 { ! para( U, W, X, Y ), ! coll( Z, U, X ), ! coll( Z, W, Y ), ! coll( T, U
% 3.07/3.46 , W ), coll( Z, T, skol19( V0, V1, Z, T ) ) }.
% 3.07/3.46 { ! para( U, W, X, Y ), ! coll( Z, U, X ), ! coll( Z, W, Y ), ! coll( T, U
% 3.07/3.46 , W ), coll( skol19( X, Y, Z, T ), X, Y ) }.
% 3.07/3.46 { perp( skol28, skol25, skol26, skol27 ) }.
% 3.07/3.46 { coll( skol28, skol26, skol27 ) }.
% 3.07/3.46 { perp( skol29, skol26, skol25, skol27 ) }.
% 3.07/3.46 { coll( skol29, skol25, skol27 ) }.
% 3.07/3.46 { perp( skol30, skol27, skol25, skol26 ) }.
% 3.07/3.46 { coll( skol30, skol25, skol26 ) }.
% 3.07/3.46 { perp( skol20, skol30, skol26, skol27 ) }.
% 3.07/3.46 { coll( skol20, skol26, skol27 ) }.
% 3.07/3.46 { perp( skol22, skol30, skol25, skol27 ) }.
% 3.07/3.46 { coll( skol22, skol25, skol27 ) }.
% 3.07/3.46 { perp( skol23, skol29, skol25, skol26 ) }.
% 3.07/3.46 { coll( skol23, skol25, skol26 ) }.
% 3.07/3.46 { perp( skol24, skol28, skol25, skol26 ) }.
% 3.07/3.46 { coll( skol24, skol25, skol26 ) }.
% 3.07/3.46 { ! cyclic( skol22, skol23, skol24, skol20 ) }.
% 3.07/3.46
% 3.07/3.46 percentage equality = 0.008596, percentage horn = 0.931298
% 3.07/3.46 This is a problem with some equality
% 3.07/3.46
% 3.07/3.46
% 3.07/3.46
% 3.07/3.46 Options Used:
% 3.07/3.46
% 3.07/3.46 useres = 1
% 3.07/3.46 useparamod = 1
% 3.07/3.46 useeqrefl = 1
% 3.07/3.46 useeqfact = 1
% 3.07/3.46 usefactor = 1
% 3.07/3.46 usesimpsplitting = 0
% 3.07/3.46 usesimpdemod = 5
% 3.07/3.46 usesimpres = 3
% 3.07/3.46
% 3.07/3.46 resimpinuse = 1000
% 3.07/3.46 resimpclauses = 20000
% 3.07/3.46 substype = eqrewr
% 3.07/3.46 backwardsubs = 1
% 3.07/3.46 selectoldest = 5
% 3.07/3.46
% 3.07/3.46 litorderings [0] = split
% 3.07/3.46 litorderings [1] = extend the termordering, first sorting on arguments
% 3.07/3.46
% 3.07/3.46 termordering = kbo
% 3.07/3.46
% 3.07/3.46 litapriori = 0
% 3.07/3.46 termapriori = 1
% 3.07/3.46 litaposteriori = 0
% 3.07/3.46 termaposteriori = 0
% 3.07/3.46 demodaposteriori = 0
% 3.07/3.46 ordereqreflfact = 0
% 3.07/3.46
% 3.07/3.46 litselect = negord
% 3.07/3.46
% 3.07/3.46 maxweight = 15
% 3.07/3.46 maxdepth = 30000
% 3.07/3.46 maxlength = 115
% 3.07/3.46 maxnrvars = 195
% 3.07/3.46 excuselevel = 1
% 3.07/3.46 increasemaxweight = 1
% 3.07/3.46
% 3.07/3.46 maxselected = 10000000
% 3.07/3.46 maxnrclauses = 10000000
% 3.07/3.46
% 3.07/3.46 showgenerated = 0
% 3.07/3.46 showkept = 0
% 3.07/3.46 showselected = 0
% 3.07/3.46 showdeleted = 0
% 3.07/3.46 showresimp = 1
% 3.07/3.46 showstatus = 2000
% 3.07/3.46
% 3.07/3.46 prologoutput = 0
% 3.07/3.46 nrgoals = 5000000
% 3.07/3.46 totalproof = 1
% 3.07/3.46
% 3.07/3.46 Symbols occurring in the translation:
% 3.07/3.46
% 3.07/3.46 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 3.07/3.46 . [1, 2] (w:1, o:41, a:1, s:1, b:0),
% 3.07/3.46 ! [4, 1] (w:0, o:36, a:1, s:1, b:0),
% 3.07/3.46 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 3.07/3.46 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 3.07/3.46 coll [38, 3] (w:1, o:69, a:1, s:1, b:0),
% 3.07/3.46 para [40, 4] (w:1, o:77, a:1, s:1, b:0),
% 3.07/3.46 perp [43, 4] (w:1, o:78, a:1, s:1, b:0),
% 3.07/3.46 midp [45, 3] (w:1, o:70, a:1, s:1, b:0),
% 3.07/3.46 cong [47, 4] (w:1, o:79, a:1, s:1, b:0),
% 3.07/3.46 circle [48, 4] (w:1, o:80, a:1, s:1, b:0),
% 3.07/3.46 cyclic [49, 4] (w:1, o:81, a:1, s:1, b:0),
% 3.07/3.46 eqangle [54, 8] (w:1, o:96, a:1, s:1, b:0),
% 3.07/3.46 eqratio [57, 8] (w:1, o:97, a:1, s:1, b:0),
% 3.07/3.46 simtri [59, 6] (w:1, o:93, a:1, s:1, b:0),
% 3.07/3.46 contri [60, 6] (w:1, o:94, a:1, s:1, b:0),
% 3.07/3.46 alpha1 [66, 3] (w:1, o:71, a:1, s:1, b:1),
% 3.07/3.46 alpha2 [67, 4] (w:1, o:82, a:1, s:1, b:1),
% 3.07/3.46 skol1 [68, 4] (w:1, o:83, a:1, s:1, b:1),
% 3.07/3.46 skol2 [69, 4] (w:1, o:85, a:1, s:1, b:1),
% 12.86/13.24 skol3 [70, 4] (w:1, o:87, a:1, s:1, b:1),
% 12.86/13.24 skol4 [71, 4] (w:1, o:88, a:1, s:1, b:1),
% 12.86/13.24 skol5 [72, 4] (w:1, o:89, a:1, s:1, b:1),
% 12.86/13.24 skol6 [73, 6] (w:1, o:95, a:1, s:1, b:1),
% 12.86/13.24 skol7 [74, 2] (w:1, o:65, a:1, s:1, b:1),
% 12.86/13.24 skol8 [75, 4] (w:1, o:90, a:1, s:1, b:1),
% 12.86/13.24 skol9 [76, 4] (w:1, o:91, a:1, s:1, b:1),
% 12.86/13.24 skol10 [77, 3] (w:1, o:72, a:1, s:1, b:1),
% 12.86/13.24 skol11 [78, 3] (w:1, o:73, a:1, s:1, b:1),
% 12.86/13.24 skol12 [79, 2] (w:1, o:66, a:1, s:1, b:1),
% 12.86/13.24 skol13 [80, 5] (w:1, o:92, a:1, s:1, b:1),
% 12.86/13.24 skol14 [81, 3] (w:1, o:74, a:1, s:1, b:1),
% 12.86/13.24 skol15 [82, 3] (w:1, o:75, a:1, s:1, b:1),
% 12.86/13.24 skol16 [83, 3] (w:1, o:76, a:1, s:1, b:1),
% 12.86/13.24 skol17 [84, 2] (w:1, o:67, a:1, s:1, b:1),
% 12.86/13.24 skol18 [85, 2] (w:1, o:68, a:1, s:1, b:1),
% 12.86/13.24 skol19 [86, 4] (w:1, o:84, a:1, s:1, b:1),
% 12.86/13.24 skol20 [87, 0] (w:1, o:26, a:1, s:1, b:1),
% 12.86/13.24 skol21 [88, 4] (w:1, o:86, a:1, s:1, b:1),
% 12.86/13.24 skol22 [89, 0] (w:1, o:27, a:1, s:1, b:1),
% 12.86/13.24 skol23 [90, 0] (w:1, o:28, a:1, s:1, b:1),
% 12.86/13.24 skol24 [91, 0] (w:1, o:29, a:1, s:1, b:1),
% 12.86/13.24 skol25 [92, 0] (w:1, o:30, a:1, s:1, b:1),
% 12.86/13.24 skol26 [93, 0] (w:1, o:31, a:1, s:1, b:1),
% 12.86/13.24 skol27 [94, 0] (w:1, o:32, a:1, s:1, b:1),
% 12.86/13.24 skol28 [95, 0] (w:1, o:33, a:1, s:1, b:1),
% 12.86/13.24 skol29 [96, 0] (w:1, o:34, a:1, s:1, b:1),
% 12.86/13.24 skol30 [97, 0] (w:1, o:35, a:1, s:1, b:1).
% 12.86/13.24
% 12.86/13.24
% 12.86/13.24 Starting Search:
% 12.86/13.24
% 12.86/13.24 *** allocated 15000 integers for clauses
% 12.86/13.24 *** allocated 22500 integers for clauses
% 12.86/13.24 *** allocated 33750 integers for clauses
% 12.86/13.24 *** allocated 50625 integers for clauses
% 12.86/13.24 *** allocated 22500 integers for termspace/termends
% 12.86/13.24 *** allocated 75937 integers for clauses
% 12.86/13.24 Resimplifying inuse:
% 12.86/13.24 Done
% 12.86/13.24
% 12.86/13.24 *** allocated 33750 integers for termspace/termends
% 12.86/13.24 *** allocated 113905 integers for clauses
% 12.86/13.24 *** allocated 50625 integers for termspace/termends
% 12.86/13.24
% 12.86/13.24 Intermediate Status:
% 12.86/13.24 Generated: 5073
% 12.86/13.24 Kept: 2005
% 12.86/13.24 Inuse: 306
% 12.86/13.24 Deleted: 0
% 12.86/13.24 Deletedinuse: 0
% 12.86/13.24
% 12.86/13.24 Resimplifying inuse:
% 12.86/13.24 Done
% 12.86/13.24
% 12.86/13.24 *** allocated 170857 integers for clauses
% 12.86/13.24 *** allocated 75937 integers for termspace/termends
% 12.86/13.24 Resimplifying inuse:
% 12.86/13.24 Done
% 12.86/13.24
% 12.86/13.24 *** allocated 256285 integers for clauses
% 12.86/13.24 *** allocated 113905 integers for termspace/termends
% 12.86/13.24
% 12.86/13.24 Intermediate Status:
% 12.86/13.24 Generated: 16055
% 12.86/13.24 Kept: 4019
% 12.86/13.24 Inuse: 451
% 12.86/13.24 Deleted: 1
% 12.86/13.24 Deletedinuse: 1
% 12.86/13.24
% 12.86/13.24 Resimplifying inuse:
% 12.86/13.24 Done
% 12.86/13.24
% 12.86/13.24 *** allocated 384427 integers for clauses
% 12.86/13.24 Resimplifying inuse:
% 12.86/13.24 Done
% 12.86/13.24
% 12.86/13.24 *** allocated 170857 integers for termspace/termends
% 12.86/13.24
% 12.86/13.24 Intermediate Status:
% 12.86/13.24 Generated: 28232
% 12.86/13.24 Kept: 6315
% 12.86/13.24 Inuse: 531
% 12.86/13.24 Deleted: 1
% 12.86/13.24 Deletedinuse: 1
% 12.86/13.24
% 12.86/13.24 Resimplifying inuse:
% 12.86/13.24 Done
% 12.86/13.24
% 12.86/13.24 Resimplifying inuse:
% 12.86/13.24 Done
% 12.86/13.24
% 12.86/13.24 *** allocated 576640 integers for clauses
% 12.86/13.24
% 12.86/13.24 Intermediate Status:
% 12.86/13.24 Generated: 41383
% 12.86/13.24 Kept: 8317
% 12.86/13.24 Inuse: 666
% 12.86/13.24 Deleted: 2
% 12.86/13.24 Deletedinuse: 1
% 12.86/13.24
% 12.86/13.24 Resimplifying inuse:
% 12.86/13.24 Done
% 12.86/13.24
% 12.86/13.24 *** allocated 256285 integers for termspace/termends
% 12.86/13.24 Resimplifying inuse:
% 12.86/13.24 Done
% 12.86/13.24
% 12.86/13.24
% 12.86/13.24 Intermediate Status:
% 12.86/13.24 Generated: 64827
% 12.86/13.24 Kept: 10426
% 12.86/13.24 Inuse: 764
% 12.86/13.24 Deleted: 4
% 12.86/13.24 Deletedinuse: 2
% 12.86/13.24
% 12.86/13.24 Resimplifying inuse:
% 12.86/13.24 Done
% 12.86/13.24
% 12.86/13.24 Resimplifying inuse:
% 12.86/13.24 Done
% 12.86/13.24
% 12.86/13.24 *** allocated 864960 integers for clauses
% 12.86/13.24
% 12.86/13.24 Intermediate Status:
% 12.86/13.24 Generated: 78003
% 12.86/13.24 Kept: 12495
% 12.86/13.24 Inuse: 859
% 12.86/13.24 Deleted: 6
% 12.86/13.24 Deletedinuse: 4
% 12.86/13.24
% 12.86/13.24 Resimplifying inuse:
% 12.86/13.24 Done
% 12.86/13.24
% 12.86/13.24 Resimplifying inuse:
% 12.86/13.24 Done
% 12.86/13.24
% 12.86/13.24
% 12.86/13.24 Intermediate Status:
% 12.86/13.24 Generated: 88672
% 12.86/13.24 Kept: 14495
% 12.86/13.24 Inuse: 924
% 12.86/13.24 Deleted: 7
% 12.86/13.24 Deletedinuse: 4
% 12.86/13.24
% 12.86/13.24 Resimplifying inuse:
% 12.86/13.24 Done
% 12.86/13.24
% 12.86/13.24 *** allocated 384427 integers for termspace/termends
% 12.86/13.24 Resimplifying inuse:
% 12.86/13.24 Done
% 12.86/13.24
% 12.86/13.24
% 12.86/13.24 Intermediate Status:
% 12.86/13.24 Generated: 101060
% 12.86/13.24 Kept: 16497
% 12.86/13.24 Inuse: 1029
% 12.86/13.24 Deleted: 8
% 12.86/13.24 Deletedinuse: 4
% 12.86/13.24
% 12.86/13.24 Resimplifying inuse:
% 12.86/13.24 Done
% 12.86/13.24
% 12.86/13.24 Resimplifying inuse:
% 12.86/13.24 Done
% 12.86/13.24
% 12.86/13.24 *** allocated 1297440 integers for clauses
% 12.86/13.24
% 12.86/13.24 Intermediate Status:
% 12.86/13.24 Generated: 116100
% 12.86/13.24 Kept: 18513
% 12.86/13.24 Inuse: 1157
% 12.86/13.24 Deleted: 18
% 12.86/13.24 Deletedinuse: 10
% 12.86/13.24
% 12.86/13.24 Resimplifying inuse:
% 12.86/13.24 Done
% 12.86/13.24
% 12.86/13.24 Resimplifying inuse:
% 12.86/13.24 Done
% 12.86/13.24
% 12.86/13.24 Resimplifying clauses:
% 12.86/13.24 Done
% 12.86/13.24
% 12.86/13.24
% 12.86/13.24 Intermediate Status:
% 12.86/13.24 Generated: 125774
% 12.86/13.24 Kept: 20515
% 12.86/13.24 Inuse: 1240
% 12.86/13.24 Deleted: 1144
% 12.86/13.24 Deletedinuse: 10
% 12.86/13.24
% 12.86/13.24 Resimplifying inuse:
% 12.86/13.24 Done
% 12.86/13.24
% 12.86/13.24 Resimplifying inuse:
% 12.86/13.24 Done
% 12.86/13.24
% 12.86/13.24
% 12.86/13.24 Intermediate Status:
% 12.86/13.24 Generated: 135036
% 12.86/13.24 Kept: 22613
% 12.86/13.24 Inuse: 1318
% 12.86/13.24 Deleted: 1144
% 12.86/13.24 Deletedinuse: 10
% 12.86/13.24
% 12.86/13.24 Resimplifying inuse:
% 12.86/13.24 Done
% 12.86/13.24
% 12.86/13.24 Resimplifying inuse:
% 12.86/13.24 Done
% 12.86/13.24
% 12.86/13.24
% 12.86/13.24 Intermediate Status:
% 12.86/13.24 Generated: 144750
% 12.86/13.24 Kept: 24617
% 12.86/13.24 Inuse: 1412
% 12.86/13.24 Deleted: 1144
% 12.86/13.24 Deletedinuse: 10
% 12.86/13.24
% 12.86/13.24 Resimplifying inuse:
% 12.86/13.24 Done
% 12.86/13.24
% 12.86/13.24 Resimplifying inuse:
% 12.86/13.24 Done
% 12.86/13.24
% 12.86/13.24 *** allocated 576640 integers for termspace/termends
% 12.86/13.24
% 12.86/13.24 Intermediate Status:
% 12.86/13.24 Generated: 154714
% 12.86/13.24 Kept: 26619
% 12.86/13.24 Inuse: 1512
% 12.86/13.24 Deleted: 1144
% 12.86/13.24 Deletedinuse: 10
% 12.86/13.24
% 12.86/13.24 Resimplifying inuse:
% 12.86/13.24 Done
% 12.86/13.24
% 12.86/13.24 *** allocated 1946160 integers for clauses
% 12.86/13.24 Resimplifying inuse:
% 12.86/13.24 Done
% 12.86/13.24
% 12.86/13.24
% 12.86/13.24 Intermediate Status:
% 12.86/13.24 Generated: 164312
% 12.86/13.24 Kept: 28630
% 12.86/13.24 Inuse: 1626
% 12.86/13.24 Deleted: 1144
% 12.86/13.24 Deletedinuse: 10
% 12.86/13.24
% 12.86/13.24 Resimplifying inuse:
% 12.86/13.24 Done
% 12.86/13.24
% 12.86/13.24 Resimplifying inuse:
% 12.86/13.24 Done
% 12.86/13.24
% 12.86/13.24
% 12.86/13.24 Intermediate Status:
% 12.86/13.24 Generated: 175507
% 12.86/13.24 Kept: 30635
% 12.86/13.24 Inuse: 1746
% 12.86/13.24 Deleted: 1144
% 12.86/13.24 Deletedinuse: 10
% 12.86/13.24
% 12.86/13.24 Resimplifying inuse:
% 12.86/13.24 Done
% 12.86/13.24
% 12.86/13.24 Resimplifying inuse:
% 12.86/13.24 Done
% 12.86/13.24
% 12.86/13.24
% 12.86/13.24 Intermediate Status:
% 12.86/13.24 Generated: 186309
% 12.86/13.24 Kept: 32654
% 12.86/13.24 Inuse: 1859
% 12.86/13.24 Deleted: 1145
% 12.86/13.24 Deletedinuse: 10
% 12.86/13.24
% 12.86/13.24 Resimplifying inuse:
% 12.86/13.24 Done
% 12.86/13.24
% 12.86/13.24 Resimplifying inuse:
% 12.86/13.24 Done
% 12.86/13.24
% 12.86/13.24
% 12.86/13.24 Intermediate Status:
% 12.86/13.24 Generated: 197587
% 12.86/13.24 Kept: 34663
% 12.86/13.24 Inuse: 1985
% 12.86/13.24 Deleted: 1145
% 12.86/13.24 Deletedinuse: 10
% 12.86/13.24
% 12.86/13.24 Resimplifying inuse:
% 12.86/13.24 Done
% 12.86/13.24
% 12.86/13.24 Resimplifying inuse:
% 12.86/13.24 Done
% 12.86/13.24
% 12.86/13.24
% 12.86/13.24 Intermediate Status:
% 12.86/13.24 Generated: 211048
% 12.86/13.24 Kept: 36666
% 12.86/13.24 Inuse: 2119
% 12.86/13.24 Deleted: 1145
% 12.86/13.24 Deletedinuse: 10
% 12.86/13.24
% 12.86/13.24 Resimplifying inuse:
% 12.86/13.24 Done
% 12.86/13.24
% 12.86/13.24 Resimplifying inuse:
% 12.86/13.24 Done
% 12.86/13.24
% 12.86/13.24
% 12.86/13.24 Intermediate Status:
% 12.86/13.24 Generated: 223821
% 12.86/13.24 Kept: 38705
% 12.86/13.24 Inuse: 2242
% 12.86/13.24 Deleted: 1145
% 12.86/13.24 Deletedinuse: 10
% 12.86/13.24
% 12.86/13.24 Resimplifying inuse:
% 12.86/13.24 Done
% 12.86/13.24
% 12.86/13.24 Resimplifying clauses:
% 12.86/13.24 Done
% 12.86/13.24
% 12.86/13.24 Resimplifying inuse:
% 12.86/13.24 Done
% 12.86/13.24
% 12.86/13.24
% 12.86/13.24 Intermediate Status:
% 12.86/13.24 Generated: 237587
% 12.86/13.24 Kept: 40709
% 12.86/13.24 Inuse: 2385
% 12.86/13.24 Deleted: 1479
% 12.86/13.24 Deletedinuse: 10
% 12.86/13.24
% 12.86/13.24 Resimplifying inuse:
% 12.86/13.24 Done
% 12.86/13.24
% 12.86/13.24 *** allocated 864960 integers for termspace/termends
% 12.86/13.24 *** allocated 2919240 integers for clauses
% 12.86/13.24 Resimplifying inuse:
% 12.86/13.24 Done
% 12.86/13.24
% 12.86/13.24
% 12.86/13.24 Intermediate Status:
% 12.86/13.24 Generated: 248597
% 12.86/13.24 Kept: 42724
% 12.86/13.24 Inuse: 2491
% 12.86/13.24 Deleted: 1479
% 12.86/13.24 Deletedinuse: 10
% 12.86/13.24
% 12.86/13.24 Resimplifying inuse:
% 12.86/13.24 Done
% 12.86/13.24
% 12.86/13.24 Resimplifying inuse:
% 12.86/13.24 Done
% 12.86/13.24
% 12.86/13.24
% 12.86/13.24 Intermediate Status:
% 12.86/13.24 Generated: 258863
% 12.86/13.24 Kept: 44757
% 12.86/13.24 Inuse: 2582
% 12.86/13.24 Deleted: 1479
% 12.86/13.24 Deletedinuse: 10
% 12.86/13.24
% 12.86/13.24 Resimplifying inuse:
% 12.86/13.24 Done
% 12.86/13.24
% 12.86/13.24 Resimplifying inuse:
% 12.86/13.24 Done
% 12.86/13.24
% 12.86/13.24
% 12.86/13.24 Intermediate Status:
% 12.86/13.24 Generated: 269457
% 12.86/13.24 Kept: 46811
% 12.86/13.24 Inuse: 2662
% 12.86/13.24 Deleted: 1479
% 12.86/13.24 Deletedinuse: 10
% 12.86/13.24
% 12.86/13.24 Resimplifying inuse:
% 12.86/13.24 Done
% 12.86/13.24
% 12.86/13.24 Resimplifying inuse:
% 12.86/13.24 Done
% 12.86/13.24
% 12.86/13.24
% 12.86/13.24 Intermediate Status:
% 12.86/13.24 Generated: 283553
% 12.86/13.24 Kept: 48817
% 12.86/13.24 Inuse: 2774
% 12.86/13.24 Deleted: 1479
% 12.86/13.24 Deletedinuse: 10
% 12.86/13.24
% 12.86/13.24 Resimplifying inuse:
% 12.86/13.24 Done
% 12.86/13.24
% 12.86/13.24 Resimplifying inuse:
% 12.86/13.24 Done
% 12.86/13.24
% 12.86/13.24
% 12.86/13.24 Intermediate Status:
% 12.86/13.24 Generated: 298209
% 12.86/13.24 Kept: 50839
% 12.86/13.24 Inuse: 2913
% 12.86/13.24 Deleted: 1500
% 12.86/13.24 Deletedinuse: 31
% 12.86/13.24
% 12.86/13.24 Resimplifying inuse:
% 12.86/13.24 Done
% 12.86/13.24
% 12.86/13.24 Resimplifying inuse:
% 12.86/13.24 Done
% 12.86/13.24
% 12.86/13.24
% 12.86/13.24 Intermediate Status:
% 12.86/13.24 Generated: 312796
% 12.86/13.24 Kept: 52843
% 12.86/13.24 Inuse: 3061
% 12.86/13.24 Deleted: 1521
% 12.86/13.24 Deletedinuse: 52
% 12.86/13.24
% 12.86/13.24 Resimplifying inuse:
% 12.86/13.24 Done
% 12.86/13.24
% 12.86/13.24 Resimplifying inuse:
% 12.86/13.24 Done
% 12.86/13.24
% 12.86/13.24
% 12.86/13.24 Intermediate Status:
% 12.86/13.24 Generated: 327315
% 12.86/13.24 Kept: 54853
% 12.86/13.24 Inuse: 3177
% 12.86/13.24 Deleted: 1540
% 12.86/13.24 Deletedinuse: 71
% 12.86/13.24
% 12.86/13.24 Resimplifying inuse:
% 12.86/13.24 Done
% 12.86/13.24
% 12.86/13.24
% 12.86/13.24 Bliksems!, er is een bewijs:
% 12.86/13.24 % SZS status Theorem
% 12.86/13.24 % SZS output start Refutation
% 12.86/13.24
% 12.86/13.24 (0) {G0,W8,D2,L2,V3,M2} I { ! coll( X, Y, Z ), coll( X, Z, Y ) }.
% 12.86/13.24 (1) {G0,W8,D2,L2,V3,M2} I { ! coll( X, Y, Z ), coll( Y, X, Z ) }.
% 12.86/13.24 (2) {G0,W12,D2,L3,V4,M3} I { ! coll( X, T, Y ), ! coll( X, T, Z ), coll( Y
% 12.86/13.24 , Z, X ) }.
% 12.86/13.24 (6) {G0,W10,D2,L2,V4,M2} I { ! perp( X, Y, Z, T ), perp( X, Y, T, Z ) }.
% 12.86/13.24 (7) {G0,W10,D2,L2,V4,M2} I { ! perp( X, Y, Z, T ), perp( Z, T, X, Y ) }.
% 12.86/13.24 (8) {G0,W15,D2,L3,V6,M3} I { ! perp( X, Y, U, W ), ! perp( U, W, Z, T ),
% 12.86/13.24 para( X, Y, Z, T ) }.
% 12.86/13.24 (13) {G0,W10,D2,L2,V4,M2} I { ! cyclic( X, Y, Z, T ), cyclic( X, Y, T, Z )
% 12.86/13.24 }.
% 12.86/13.24 (14) {G0,W10,D2,L2,V4,M2} I { ! cyclic( X, Y, Z, T ), cyclic( X, Z, Y, T )
% 12.86/13.24 }.
% 12.86/13.24 (15) {G0,W10,D2,L2,V4,M2} I { ! cyclic( X, Y, Z, T ), cyclic( Y, X, Z, T )
% 12.86/13.24 }.
% 12.86/13.24 (16) {G0,W15,D2,L3,V5,M3} I { ! cyclic( U, X, Y, Z ), ! cyclic( U, X, Y, T
% 12.86/13.24 ), cyclic( X, Y, Z, T ) }.
% 12.86/13.24 (18) {G0,W18,D2,L2,V8,M2} I { ! eqangle( X, Y, Z, T, U, W, V0, V1 ),
% 12.86/13.24 eqangle( Z, T, X, Y, V0, V1, U, W ) }.
% 12.86/13.24 (39) {G0,W14,D2,L2,V6,M2} I { ! para( X, Y, Z, T ), eqangle( X, Y, U, W, Z
% 12.86/13.24 , T, U, W ) }.
% 12.86/13.24 (42) {G0,W18,D2,L3,V4,M3} I { ! eqangle( Z, X, Z, Y, T, X, T, Y ), ! coll(
% 12.86/13.24 Z, T, Y ), cyclic( X, Y, Z, T ) }.
% 12.86/13.24 (120) {G0,W5,D2,L1,V0,M1} I { perp( skol30, skol27, skol25, skol26 ) }.
% 12.86/13.24 (129) {G0,W4,D2,L1,V0,M1} I { coll( skol24, skol25, skol26 ) }.
% 12.86/13.24 (130) {G0,W5,D2,L1,V0,M1} I { ! cyclic( skol22, skol23, skol24, skol20 )
% 12.86/13.24 }.
% 12.86/13.24 (183) {G1,W4,D2,L1,V0,M1} R(1,129) { coll( skol25, skol24, skol26 ) }.
% 12.86/13.24 (209) {G1,W12,D2,L3,V4,M3} R(2,0) { ! coll( X, Y, Z ), ! coll( X, Y, T ),
% 12.86/13.24 coll( Z, X, T ) }.
% 12.86/13.24 (220) {G2,W8,D2,L2,V3,M2} F(209) { ! coll( X, Y, Z ), coll( Z, X, Z ) }.
% 12.86/13.24 (264) {G2,W4,D2,L1,V0,M1} R(183,0) { coll( skol25, skol26, skol24 ) }.
% 12.86/13.24 (267) {G3,W4,D2,L1,V0,M1} R(264,1) { coll( skol26, skol25, skol24 ) }.
% 12.86/13.24 (270) {G4,W4,D2,L1,V0,M1} R(267,0) { coll( skol26, skol24, skol25 ) }.
% 12.86/13.24 (299) {G1,W15,D2,L3,V6,M3} R(8,7) { ! perp( X, Y, Z, T ), para( X, Y, U, W
% 12.86/13.24 ), ! perp( U, W, Z, T ) }.
% 12.86/13.24 (307) {G2,W10,D2,L2,V4,M2} F(299) { ! perp( X, Y, Z, T ), para( X, Y, X, Y
% 12.86/13.24 ) }.
% 12.86/13.24 (387) {G1,W5,D2,L1,V0,M1} R(13,130) { ! cyclic( skol22, skol23, skol20,
% 12.86/13.24 skol24 ) }.
% 12.86/13.24 (401) {G1,W10,D2,L2,V4,M2} R(14,13) { ! cyclic( X, Y, Z, T ), cyclic( X, Z
% 12.86/13.24 , T, Y ) }.
% 12.86/13.24 (409) {G1,W10,D2,L2,V4,M2} R(15,14) { cyclic( X, Y, Z, T ), ! cyclic( Y, Z
% 12.86/13.24 , X, T ) }.
% 12.86/13.24 (411) {G2,W5,D2,L1,V0,M1} R(15,387) { ! cyclic( skol23, skol22, skol20,
% 12.86/13.24 skol24 ) }.
% 12.86/13.24 (412) {G1,W10,D2,L2,V4,M2} R(15,13) { cyclic( X, Y, Z, T ), ! cyclic( Y, X
% 12.86/13.24 , T, Z ) }.
% 12.86/13.24 (433) {G1,W15,D2,L3,V5,M3} R(16,15) { ! cyclic( X, Y, Z, T ), ! cyclic( X,
% 12.86/13.24 Y, Z, U ), cyclic( Z, Y, T, U ) }.
% 12.86/13.24 (441) {G1,W15,D2,L3,V5,M3} R(16,13) { ! cyclic( X, Y, Z, T ), cyclic( Y, Z
% 12.86/13.24 , T, U ), ! cyclic( X, Y, U, Z ) }.
% 12.86/13.24 (445) {G2,W10,D2,L2,V4,M2} F(433) { ! cyclic( X, Y, Z, T ), cyclic( Z, Y, T
% 12.86/13.24 , T ) }.
% 12.86/13.24 (466) {G3,W10,D2,L2,V1,M2} R(411,16) { ! cyclic( X, skol23, skol22, skol20
% 12.86/13.24 ), ! cyclic( X, skol23, skol22, skol24 ) }.
% 12.86/13.24 (560) {G1,W5,D2,L1,V0,M1} R(120,7) { perp( skol25, skol26, skol30, skol27 )
% 12.86/13.24 }.
% 12.86/13.24 (565) {G2,W5,D2,L1,V0,M1} R(560,6) { perp( skol25, skol26, skol27, skol30 )
% 12.86/13.24 }.
% 12.86/13.24 (699) {G5,W4,D2,L1,V0,M1} R(220,270) { coll( skol25, skol26, skol25 ) }.
% 12.86/13.24 (851) {G1,W14,D2,L2,V6,M2} R(39,18) { ! para( X, Y, Z, T ), eqangle( U, W,
% 12.86/13.24 X, Y, U, W, Z, T ) }.
% 12.86/13.24 (882) {G6,W4,D2,L1,V0,M1} R(699,0) { coll( skol25, skol25, skol26 ) }.
% 12.86/13.24 (933) {G7,W14,D2,L2,V1,M2} R(42,882) { ! eqangle( skol25, X, skol25, skol26
% 12.86/13.24 , skol25, X, skol25, skol26 ), cyclic( X, skol26, skol25, skol25 ) }.
% 12.86/13.24 (21149) {G3,W5,D2,L1,V0,M1} R(307,565) { para( skol25, skol26, skol25,
% 12.86/13.24 skol26 ) }.
% 12.86/13.24 (53971) {G4,W9,D2,L1,V2,M1} R(851,21149) { eqangle( X, Y, skol25, skol26, X
% 12.86/13.24 , Y, skol25, skol26 ) }.
% 12.86/13.24 (56385) {G8,W5,D2,L1,V1,M1} S(933);r(53971) { cyclic( X, skol26, skol25,
% 12.86/13.24 skol25 ) }.
% 12.86/13.24 (56406) {G9,W5,D2,L1,V1,M1} R(56385,412) { cyclic( skol26, X, skol25,
% 12.86/13.24 skol25 ) }.
% 12.86/13.24 (56418) {G10,W5,D2,L1,V1,M1} R(56406,445) { cyclic( skol25, X, skol25,
% 12.86/13.24 skol25 ) }.
% 12.86/13.24 (56440) {G11,W5,D2,L1,V1,M1} R(56418,409) { cyclic( skol25, skol25, X,
% 12.86/13.24 skol25 ) }.
% 12.86/13.24 (56441) {G11,W5,D2,L1,V1,M1} R(56418,401) { cyclic( skol25, skol25, skol25
% 12.86/13.24 , X ) }.
% 12.86/13.24 (56446) {G12,W5,D2,L1,V2,M1} R(56440,441);r(56441) { cyclic( skol25, skol25
% 12.86/13.24 , X, Y ) }.
% 12.86/13.24 (56473) {G13,W5,D2,L1,V3,M1} R(56446,441);r(56446) { cyclic( skol25, X, Y,
% 12.86/13.24 Z ) }.
% 12.86/13.24 (56489) {G14,W0,D0,L0,V0,M0} R(56473,466);r(56473) { }.
% 12.86/13.24
% 12.86/13.24
% 12.86/13.24 % SZS output end Refutation
% 12.86/13.24 found a proof!
% 12.86/13.24
% 12.86/13.24
% 12.86/13.24 Unprocessed initial clauses:
% 12.86/13.24
% 12.86/13.24 (56491) {G0,W8,D2,L2,V3,M2} { ! coll( X, Y, Z ), coll( X, Z, Y ) }.
% 12.86/13.24 (56492) {G0,W8,D2,L2,V3,M2} { ! coll( X, Y, Z ), coll( Y, X, Z ) }.
% 12.86/13.24 (56493) {G0,W12,D2,L3,V4,M3} { ! coll( X, T, Y ), ! coll( X, T, Z ), coll
% 12.86/13.24 ( Y, Z, X ) }.
% 12.86/13.24 (56494) {G0,W10,D2,L2,V4,M2} { ! para( X, Y, Z, T ), para( X, Y, T, Z )
% 12.86/13.24 }.
% 12.86/13.24 (56495) {G0,W10,D2,L2,V4,M2} { ! para( X, Y, Z, T ), para( Z, T, X, Y )
% 12.86/13.24 }.
% 12.86/13.24 (56496) {G0,W15,D2,L3,V6,M3} { ! para( X, Y, U, W ), ! para( U, W, Z, T )
% 12.86/13.24 , para( X, Y, Z, T ) }.
% 12.86/13.24 (56497) {G0,W10,D2,L2,V4,M2} { ! perp( X, Y, Z, T ), perp( X, Y, T, Z )
% 12.86/13.24 }.
% 12.86/13.24 (56498) {G0,W10,D2,L2,V4,M2} { ! perp( X, Y, Z, T ), perp( Z, T, X, Y )
% 12.86/13.24 }.
% 12.86/13.24 (56499) {G0,W15,D2,L3,V6,M3} { ! perp( X, Y, U, W ), ! perp( U, W, Z, T )
% 12.86/13.24 , para( X, Y, Z, T ) }.
% 12.86/13.24 (56500) {G0,W15,D2,L3,V6,M3} { ! para( X, Y, U, W ), ! perp( U, W, Z, T )
% 12.86/13.24 , perp( X, Y, Z, T ) }.
% 12.86/13.24 (56501) {G0,W8,D2,L2,V3,M2} { ! midp( Z, Y, X ), midp( Z, X, Y ) }.
% 12.86/13.24 (56502) {G0,W15,D2,L3,V4,M3} { ! cong( T, X, T, Y ), ! cong( T, X, T, Z )
% 12.86/13.24 , circle( T, X, Y, Z ) }.
% 12.86/13.24 (56503) {G0,W20,D2,L4,V5,M4} { ! cong( U, X, U, Y ), ! cong( U, X, U, Z )
% 12.86/13.24 , ! cong( U, X, U, T ), cyclic( X, Y, Z, T ) }.
% 12.86/13.24 (56504) {G0,W10,D2,L2,V4,M2} { ! cyclic( X, Y, Z, T ), cyclic( X, Y, T, Z
% 12.86/13.24 ) }.
% 12.86/13.24 (56505) {G0,W10,D2,L2,V4,M2} { ! cyclic( X, Y, Z, T ), cyclic( X, Z, Y, T
% 12.86/13.24 ) }.
% 12.86/13.24 (56506) {G0,W10,D2,L2,V4,M2} { ! cyclic( X, Y, Z, T ), cyclic( Y, X, Z, T
% 12.86/13.24 ) }.
% 12.86/13.24 (56507) {G0,W15,D2,L3,V5,M3} { ! cyclic( U, X, Y, Z ), ! cyclic( U, X, Y,
% 12.86/13.24 T ), cyclic( X, Y, Z, T ) }.
% 12.86/13.24 (56508) {G0,W18,D2,L2,V8,M2} { ! eqangle( X, Y, Z, T, U, W, V0, V1 ),
% 12.86/13.24 eqangle( Y, X, Z, T, U, W, V0, V1 ) }.
% 12.86/13.24 (56509) {G0,W18,D2,L2,V8,M2} { ! eqangle( X, Y, Z, T, U, W, V0, V1 ),
% 12.86/13.24 eqangle( Z, T, X, Y, V0, V1, U, W ) }.
% 12.86/13.24 (56510) {G0,W18,D2,L2,V8,M2} { ! eqangle( X, Y, Z, T, U, W, V0, V1 ),
% 12.86/13.24 eqangle( U, W, V0, V1, X, Y, Z, T ) }.
% 12.86/13.24 (56511) {G0,W18,D2,L2,V8,M2} { ! eqangle( X, Y, Z, T, U, W, V0, V1 ),
% 12.86/13.24 eqangle( X, Y, U, W, Z, T, V0, V1 ) }.
% 12.86/13.24 (56512) {G0,W27,D2,L3,V12,M3} { ! eqangle( X, Y, Z, T, V2, V3, V4, V5 ), !
% 12.86/13.24 eqangle( V2, V3, V4, V5, U, W, V0, V1 ), eqangle( X, Y, Z, T, U, W, V0,
% 12.86/13.24 V1 ) }.
% 12.86/13.24 (56513) {G0,W10,D2,L2,V4,M2} { ! cong( X, Y, Z, T ), cong( X, Y, T, Z )
% 12.86/13.24 }.
% 12.86/13.24 (56514) {G0,W10,D2,L2,V4,M2} { ! cong( X, Y, Z, T ), cong( Z, T, X, Y )
% 12.86/13.24 }.
% 12.86/13.24 (56515) {G0,W15,D2,L3,V6,M3} { ! cong( X, Y, U, W ), ! cong( U, W, Z, T )
% 12.86/13.24 , cong( X, Y, Z, T ) }.
% 12.86/13.24 (56516) {G0,W18,D2,L2,V8,M2} { ! eqratio( X, Y, Z, T, U, W, V0, V1 ),
% 12.86/13.24 eqratio( Y, X, Z, T, U, W, V0, V1 ) }.
% 12.86/13.24 (56517) {G0,W18,D2,L2,V8,M2} { ! eqratio( X, Y, Z, T, U, W, V0, V1 ),
% 12.86/13.24 eqratio( Z, T, X, Y, V0, V1, U, W ) }.
% 12.86/13.24 (56518) {G0,W18,D2,L2,V8,M2} { ! eqratio( X, Y, Z, T, U, W, V0, V1 ),
% 12.86/13.24 eqratio( U, W, V0, V1, X, Y, Z, T ) }.
% 12.86/13.24 (56519) {G0,W18,D2,L2,V8,M2} { ! eqratio( X, Y, Z, T, U, W, V0, V1 ),
% 12.86/13.24 eqratio( X, Y, U, W, Z, T, V0, V1 ) }.
% 12.86/13.24 (56520) {G0,W27,D2,L3,V12,M3} { ! eqratio( X, Y, Z, T, V2, V3, V4, V5 ), !
% 12.86/13.24 eqratio( V2, V3, V4, V5, U, W, V0, V1 ), eqratio( X, Y, Z, T, U, W, V0,
% 12.86/13.24 V1 ) }.
% 12.86/13.24 (56521) {G0,W14,D2,L2,V6,M2} { ! simtri( X, Z, Y, T, W, U ), simtri( X, Y
% 12.86/13.24 , Z, T, U, W ) }.
% 12.86/13.24 (56522) {G0,W14,D2,L2,V6,M2} { ! simtri( Y, X, Z, U, T, W ), simtri( X, Y
% 12.86/13.24 , Z, T, U, W ) }.
% 12.86/13.24 (56523) {G0,W14,D2,L2,V6,M2} { ! simtri( T, U, W, X, Y, Z ), simtri( X, Y
% 12.86/13.24 , Z, T, U, W ) }.
% 12.86/13.24 (56524) {G0,W21,D2,L3,V9,M3} { ! simtri( X, Y, Z, V0, V1, V2 ), ! simtri(
% 12.86/13.24 V0, V1, V2, T, U, W ), simtri( X, Y, Z, T, U, W ) }.
% 12.86/13.24 (56525) {G0,W14,D2,L2,V6,M2} { ! contri( X, Z, Y, T, W, U ), contri( X, Y
% 12.86/13.24 , Z, T, U, W ) }.
% 12.86/13.24 (56526) {G0,W14,D2,L2,V6,M2} { ! contri( Y, X, Z, U, T, W ), contri( X, Y
% 12.86/13.24 , Z, T, U, W ) }.
% 12.86/13.24 (56527) {G0,W14,D2,L2,V6,M2} { ! contri( T, U, W, X, Y, Z ), contri( X, Y
% 12.86/13.24 , Z, T, U, W ) }.
% 12.86/13.24 (56528) {G0,W21,D2,L3,V9,M3} { ! contri( X, Y, Z, V0, V1, V2 ), ! contri(
% 12.86/13.24 V0, V1, V2, T, U, W ), contri( X, Y, Z, T, U, W ) }.
% 12.86/13.24 (56529) {G0,W14,D2,L2,V6,M2} { ! eqangle( X, Y, U, W, Z, T, U, W ), para(
% 12.86/13.24 X, Y, Z, T ) }.
% 12.86/13.24 (56530) {G0,W14,D2,L2,V6,M2} { ! para( X, Y, Z, T ), eqangle( X, Y, U, W,
% 12.86/13.24 Z, T, U, W ) }.
% 12.86/13.24 (56531) {G0,W14,D2,L2,V4,M2} { ! cyclic( X, Y, Z, T ), eqangle( Z, X, Z, Y
% 12.86/13.24 , T, X, T, Y ) }.
% 12.86/13.24 (56532) {G0,W18,D2,L3,V4,M3} { ! eqangle( Z, X, Z, Y, T, X, T, Y ), coll(
% 12.86/13.24 Z, T, X ), cyclic( X, Y, Z, T ) }.
% 12.86/13.24 (56533) {G0,W18,D2,L3,V4,M3} { ! eqangle( Z, X, Z, Y, T, X, T, Y ), ! coll
% 12.86/13.24 ( Z, T, Y ), cyclic( X, Y, Z, T ) }.
% 12.86/13.24 (56534) {G0,W29,D2,L5,V6,M5} { ! cyclic( X, Y, U, Z ), ! cyclic( X, Y, U,
% 12.86/13.24 T ), ! cyclic( X, Y, U, W ), ! eqangle( U, X, U, Y, W, Z, W, T ), cong( X
% 12.86/13.24 , Y, Z, T ) }.
% 12.86/13.24 (56535) {G0,W13,D2,L3,V5,M3} { ! midp( Z, U, X ), ! midp( T, U, Y ), para
% 12.86/13.24 ( Z, T, X, Y ) }.
% 12.86/13.24 (56536) {G0,W17,D2,L4,V5,M4} { ! midp( U, X, T ), ! para( U, Z, T, Y ), !
% 12.86/13.24 coll( Z, X, Y ), midp( Z, X, Y ) }.
% 12.86/13.24 (56537) {G0,W14,D2,L2,V3,M2} { ! cong( Z, X, Z, Y ), eqangle( Z, X, X, Y,
% 12.86/13.24 X, Y, Z, Y ) }.
% 12.86/13.24 (56538) {G0,W18,D2,L3,V3,M3} { ! eqangle( Z, X, X, Y, X, Y, Z, Y ), coll(
% 12.86/13.24 Z, X, Y ), cong( Z, X, Z, Y ) }.
% 12.86/13.24 (56539) {G0,W19,D2,L3,V5,M3} { ! circle( U, X, Y, Z ), ! perp( U, X, X, T
% 12.86/13.24 ), eqangle( X, T, X, Y, Z, X, Z, Y ) }.
% 12.86/13.24 (56540) {G0,W19,D2,L3,V5,M3} { ! circle( Y, X, T, U ), ! eqangle( X, Z, X
% 12.86/13.24 , T, U, X, U, T ), perp( Y, X, X, Z ) }.
% 12.86/13.24 (56541) {G0,W18,D2,L3,V5,M3} { ! circle( T, X, Y, Z ), ! midp( U, Y, Z ),
% 12.86/13.24 eqangle( X, Y, X, Z, T, Y, T, U ) }.
% 12.86/13.24 (56542) {G0,W22,D2,L4,V5,M4} { ! circle( U, T, X, Y ), ! coll( Z, X, Y ),
% 12.86/13.24 ! eqangle( T, X, T, Y, U, X, U, Z ), midp( Z, X, Y ) }.
% 12.86/13.24 (56543) {G0,W14,D2,L3,V4,M3} { ! perp( X, Y, Y, T ), ! midp( Z, X, T ),
% 12.86/13.24 cong( X, Z, Y, Z ) }.
% 12.86/13.24 (56544) {G0,W14,D2,L3,V4,M3} { ! circle( T, X, Y, Z ), ! coll( T, X, Z ),
% 12.86/13.24 perp( X, Y, Y, Z ) }.
% 12.86/13.24 (56545) {G0,W19,D2,L3,V4,M3} { ! cyclic( X, Y, Z, T ), ! para( X, Y, Z, T
% 12.86/13.24 ), eqangle( X, T, Z, T, Z, T, Z, Y ) }.
% 12.86/13.24 (56546) {G0,W14,D2,L3,V4,M3} { ! midp( T, X, Y ), ! perp( Z, T, X, Y ),
% 12.86/13.24 cong( Z, X, Z, Y ) }.
% 12.86/13.24 (56547) {G0,W15,D2,L3,V4,M3} { ! cong( X, Z, Y, Z ), ! cong( X, T, Y, T )
% 12.86/13.24 , perp( X, Y, Z, T ) }.
% 12.86/13.24 (56548) {G0,W20,D2,L4,V4,M4} { ! cong( X, Y, T, Y ), ! cong( X, Z, T, Z )
% 12.86/13.24 , ! cyclic( X, T, Y, Z ), perp( Y, X, X, Z ) }.
% 12.86/13.24 (56549) {G0,W29,D2,L4,V6,M4} { ! eqangle( X, Y, Y, Z, T, U, U, W ), !
% 12.86/13.24 eqangle( X, Z, Y, Z, T, W, U, W ), coll( X, Y, Z ), simtri( X, Y, Z, T, U
% 12.86/13.24 , W ) }.
% 12.86/13.24 (56550) {G0,W16,D2,L2,V6,M2} { ! simtri( X, Y, Z, T, U, W ), eqratio( X, Y
% 12.86/13.24 , X, Z, T, U, T, W ) }.
% 12.86/13.24 (56551) {G0,W16,D2,L2,V6,M2} { ! simtri( X, Y, Z, T, U, W ), eqangle( X, Y
% 12.86/13.24 , Y, Z, T, U, U, W ) }.
% 12.86/13.24 (56552) {G0,W19,D2,L3,V6,M3} { ! simtri( X, Y, Z, T, U, W ), ! cong( X, Y
% 12.86/13.24 , T, U ), contri( X, Y, Z, T, U, W ) }.
% 12.86/13.24 (56553) {G0,W12,D2,L2,V6,M2} { ! contri( X, Y, U, Z, T, W ), cong( X, Y, Z
% 12.86/13.24 , T ) }.
% 12.86/13.24 (56554) {G0,W13,D2,L3,V5,M3} { ! midp( U, X, Y ), ! midp( U, Z, T ), para
% 12.86/13.24 ( X, Z, Y, T ) }.
% 12.86/13.24 (56555) {G0,W18,D2,L4,V5,M4} { ! midp( Z, T, U ), ! para( T, X, U, Y ), !
% 12.86/13.24 para( T, Y, U, X ), midp( Z, X, Y ) }.
% 12.86/13.24 (56556) {G0,W22,D2,L4,V5,M4} { ! para( X, Y, Z, T ), ! coll( U, X, Z ), !
% 12.86/13.24 coll( U, Y, T ), eqratio( U, X, X, Z, U, Y, Y, T ) }.
% 12.86/13.24 (56557) {G0,W9,D2,L2,V3,M2} { ! para( X, Y, X, Z ), coll( X, Y, Z ) }.
% 12.86/13.24 (56558) {G0,W13,D2,L3,V3,M3} { ! cong( X, Y, X, Z ), ! coll( X, Y, Z ),
% 12.86/13.24 midp( X, Y, Z ) }.
% 12.86/13.24 (56559) {G0,W9,D2,L2,V3,M2} { ! midp( X, Y, Z ), cong( X, Y, X, Z ) }.
% 12.86/13.24 (56560) {G0,W8,D2,L2,V3,M2} { ! midp( X, Y, Z ), coll( X, Y, Z ) }.
% 12.86/13.24 (56561) {G0,W17,D2,L3,V6,M3} { ! midp( U, X, Y ), ! midp( W, Z, T ),
% 12.86/13.24 eqratio( U, X, X, Y, W, Z, Z, T ) }.
% 12.86/13.24 (56562) {G0,W19,D2,L3,V4,M3} { ! eqangle( X, Y, Z, T, Z, T, X, Y ), para(
% 12.86/13.24 X, Y, Z, T ), perp( X, Y, Z, T ) }.
% 12.86/13.24 (56563) {G0,W19,D2,L3,V4,M3} { ! eqangle( X, Y, Z, T, Z, T, X, Y ), perp(
% 12.86/13.24 X, Y, Z, T ), para( X, Y, Z, T ) }.
% 12.86/13.24 (56564) {G0,W19,D2,L3,V8,M3} { ! eqangle( X, Y, Z, T, U, W, V0, V1 ), !
% 12.86/13.24 para( U, W, V0, V1 ), para( X, Y, Z, T ) }.
% 12.86/13.24 (56565) {G0,W19,D2,L3,V8,M3} { ! eqangle( X, Y, Z, T, U, W, V0, V1 ), !
% 12.86/13.24 perp( U, W, V0, V1 ), perp( X, Y, Z, T ) }.
% 12.86/13.24 (56566) {G0,W19,D2,L3,V8,M3} { ! eqratio( X, Y, Z, T, U, W, V0, V1 ), !
% 12.86/13.24 cong( U, W, V0, V1 ), cong( X, Y, Z, T ) }.
% 12.86/13.24 (56567) {G0,W22,D3,L3,V6,M3} { ! perp( Z, Y, Y, X ), ! eqangle( T, Z, Y, Z
% 12.86/13.24 , Y, Z, X, Z ), coll( skol1( U, W, Z, T ), Z, T ) }.
% 12.86/13.24 (56568) {G0,W22,D3,L3,V4,M3} { ! perp( Z, Y, Y, X ), ! eqangle( T, Z, Y, Z
% 12.86/13.24 , Y, Z, X, Z ), coll( skol1( X, Y, Z, T ), X, Y ) }.
% 12.86/13.24 (56569) {G0,W22,D3,L3,V6,M3} { ! cong( Z, X, Z, Y ), ! eqangle( X, Z, Z, T
% 12.86/13.24 , Z, T, Z, Y ), coll( skol2( U, W, Z, T ), Z, T ) }.
% 12.86/13.24 (56570) {G0,W22,D3,L3,V4,M3} { ! cong( Z, X, Z, Y ), ! eqangle( X, Z, Z, T
% 12.86/13.24 , Z, T, Z, Y ), coll( Y, X, skol2( X, Y, Z, T ) ) }.
% 12.86/13.24 (56571) {G0,W22,D3,L3,V6,M3} { ! perp( Z, T, X, Y ), ! eqangle( X, Z, Z, T
% 12.86/13.24 , Z, T, Z, Y ), coll( skol3( U, W, Z, T ), Z, T ) }.
% 12.86/13.24 (56572) {G0,W22,D3,L3,V4,M3} { ! perp( Z, T, X, Y ), ! eqangle( X, Z, Z, T
% 12.86/13.24 , Z, T, Z, Y ), coll( Y, X, skol3( X, Y, Z, T ) ) }.
% 12.86/13.24 (56573) {G0,W18,D3,L3,V6,M3} { ! perp( Z, T, X, Y ), ! cong( Z, X, Z, Y )
% 12.86/13.24 , coll( skol4( U, W, Z, T ), Z, T ) }.
% 12.86/13.24 (56574) {G0,W18,D3,L3,V4,M3} { ! perp( Z, T, X, Y ), ! cong( Z, X, Z, Y )
% 12.86/13.24 , coll( Y, X, skol4( X, Y, Z, T ) ) }.
% 12.86/13.24 (56575) {G0,W22,D3,L3,V6,M3} { ! eqangle( X, Z, Y, Z, X, T, Y, U ), coll(
% 12.86/13.24 X, Y, Z ), cyclic( T, Y, Z, skol5( W, Y, Z, T ) ) }.
% 12.86/13.24 (56576) {G0,W30,D3,L3,V5,M3} { ! eqangle( X, Z, Y, Z, X, T, Y, U ), coll(
% 12.86/13.24 X, Y, Z ), eqangle( X, Z, Y, Z, X, skol5( X, Y, Z, T ), Y, skol5( X, Y, Z
% 12.86/13.24 , T ) ) }.
% 12.86/13.24 (56577) {G0,W18,D3,L3,V10,M3} { ! midp( U, X, Y ), ! midp( W, Z, T ), midp
% 12.86/13.24 ( skol6( X, V0, V1, T, V2, V3 ), X, T ) }.
% 12.86/13.24 (56578) {G0,W19,D3,L3,V8,M3} { ! midp( U, X, Y ), ! midp( W, Z, T ), para
% 12.86/13.24 ( skol6( X, V0, Z, T, V1, W ), W, X, Z ) }.
% 12.86/13.24 (56579) {G0,W19,D3,L3,V6,M3} { ! midp( U, X, Y ), ! midp( W, Z, T ), para
% 12.86/13.24 ( skol6( X, Y, Z, T, U, W ), U, Y, T ) }.
% 12.86/13.24 (56580) {G0,W22,D3,L5,V7,M5} { ! midp( Z, X, Y ), ! midp( W, T, U ), !
% 12.86/13.24 coll( T, X, Y ), ! coll( U, X, Y ), midp( skol7( X, V0 ), X, V0 ) }.
% 12.86/13.24 (56581) {G0,W26,D3,L5,V8,M5} { ! midp( T, X, U ), ! para( X, W, Z, T ), !
% 12.86/13.24 para( X, W, U, Y ), ! coll( W, Y, Z ), coll( skol8( V0, V1, Z, T ), T, Z
% 12.86/13.24 ) }.
% 12.86/13.24 (56582) {G0,W26,D3,L5,V6,M5} { ! midp( T, X, U ), ! para( X, W, Z, T ), !
% 12.86/13.24 para( X, W, U, Y ), ! coll( W, Y, Z ), coll( skol8( X, Y, Z, T ), X, Y )
% 12.86/13.24 }.
% 12.86/13.24 (56583) {G0,W19,D3,L3,V7,M3} { ! cong( T, Z, T, U ), ! perp( X, Y, Y, T )
% 12.86/13.24 , cong( T, Z, T, skol9( W, V0, Z, T ) ) }.
% 12.86/13.24 (56584) {G0,W19,D3,L3,V6,M3} { ! cong( T, Z, T, U ), ! perp( X, Y, Y, T )
% 12.86/13.24 , cong( Y, Z, Y, skol9( W, Y, Z, T ) ) }.
% 12.86/13.24 (56585) {G0,W19,D3,L3,V5,M3} { ! cong( T, Z, T, U ), ! perp( X, Y, Y, T )
% 12.86/13.24 , para( skol9( X, Y, Z, T ), Z, X, Y ) }.
% 12.86/13.24 (56586) {G0,W17,D3,L3,V5,M3} { ! perp( X, T, Y, Z ), ! perp( Y, T, X, Z )
% 12.86/13.24 , coll( skol10( U, Y, Z ), Z, Y ) }.
% 12.86/13.24 (56587) {G0,W18,D3,L3,V4,M3} { ! perp( X, T, Y, Z ), ! perp( Y, T, X, Z )
% 12.86/13.24 , perp( X, skol10( X, Y, Z ), Z, Y ) }.
% 12.86/13.24 (56588) {G0,W14,D2,L3,V4,M3} { ! perp( X, T, Y, Z ), ! perp( Y, T, X, Z )
% 12.86/13.24 , alpha1( X, Y, Z ) }.
% 12.86/13.24 (56589) {G0,W11,D3,L2,V4,M2} { ! alpha1( X, Y, Z ), coll( skol11( X, T, Z
% 12.86/13.24 ), Z, X ) }.
% 12.86/13.24 (56590) {G0,W12,D3,L2,V3,M2} { ! alpha1( X, Y, Z ), perp( Y, skol11( X, Y
% 12.86/13.24 , Z ), Z, X ) }.
% 12.86/13.24 (56591) {G0,W13,D2,L3,V4,M3} { ! coll( T, Z, X ), ! perp( Y, T, Z, X ),
% 12.86/13.24 alpha1( X, Y, Z ) }.
% 12.86/13.24 (56592) {G0,W12,D3,L2,V4,M2} { ! circle( Y, X, Z, T ), perp( skol12( X, Y
% 12.86/13.24 ), X, X, Y ) }.
% 12.86/13.24 (56593) {G0,W28,D3,L5,V8,M5} { ! circle( W, X, Y, Z ), ! cong( W, X, W, T
% 12.86/13.24 ), ! cong( U, X, U, Y ), W = U, alpha2( X, Z, U, skol13( X, V0, Z, V1, U
% 12.86/13.24 ) ) }.
% 12.86/13.24 (56594) {G0,W26,D3,L5,V8,M5} { ! circle( W, X, Y, Z ), ! cong( W, X, W, T
% 12.86/13.24 ), ! cong( U, X, U, Y ), W = U, coll( skol21( V0, Y, T, V1 ), Y, T ) }.
% 12.86/13.24 (56595) {G0,W27,D3,L5,V6,M5} { ! circle( W, X, Y, Z ), ! cong( W, X, W, T
% 12.86/13.24 ), ! cong( U, X, U, Y ), W = U, cong( skol21( X, Y, T, U ), U, U, X )
% 12.86/13.24 }.
% 12.86/13.24 (56596) {G0,W9,D2,L2,V4,M2} { ! alpha2( X, Y, Z, T ), coll( T, X, Y ) }.
% 12.86/13.24 (56597) {G0,W10,D2,L2,V4,M2} { ! alpha2( X, Y, Z, T ), cong( T, Z, Z, X )
% 12.86/13.24 }.
% 12.86/13.24 (56598) {G0,W14,D2,L3,V4,M3} { ! coll( T, X, Y ), ! cong( T, Z, Z, X ),
% 12.86/13.24 alpha2( X, Y, Z, T ) }.
% 12.86/13.24 (56599) {G0,W22,D3,L4,V5,M4} { ! cyclic( X, Y, Z, T ), ! para( X, Y, Z, T
% 12.86/13.24 ), ! midp( U, X, Y ), circle( skol14( X, Y, Z ), X, Y, Z ) }.
% 12.86/13.24 (56600) {G0,W18,D3,L3,V4,M3} { ! perp( X, Z, Z, Y ), ! cyclic( X, Y, Z, T
% 12.86/13.24 ), circle( skol15( X, Y, Z ), X, Y, Z ) }.
% 12.86/13.24 (56601) {G0,W16,D3,L3,V6,M3} { ! perp( X, U, U, T ), ! coll( T, Y, Z ),
% 12.86/13.24 coll( skol16( W, Y, Z ), Y, Z ) }.
% 12.86/13.24 (56602) {G0,W17,D3,L3,V5,M3} { ! perp( X, U, U, T ), ! coll( T, Y, Z ),
% 12.86/13.24 perp( skol16( X, Y, Z ), X, Y, Z ) }.
% 12.86/13.24 (56603) {G0,W20,D3,L4,V5,M4} { ! perp( X, Z, X, Y ), ! perp( Y, X, Y, T )
% 12.86/13.24 , ! midp( U, Z, T ), midp( skol17( X, Y ), X, Y ) }.
% 12.86/13.24 (56604) {G0,W16,D3,L3,V3,M3} { ! cong( Y, X, Y, Z ), ! perp( X, Y, Y, Z )
% 12.86/13.24 , coll( X, Y, skol18( X, Y ) ) }.
% 12.86/13.24 (56605) {G0,W17,D3,L3,V3,M3} { ! cong( Y, X, Y, Z ), ! perp( X, Y, Y, Z )
% 12.86/13.24 , cong( Y, X, Y, skol18( X, Y ) ) }.
% 12.86/13.24 (56606) {G0,W25,D3,L5,V8,M5} { ! para( U, W, X, Y ), ! coll( Z, U, X ), !
% 12.86/13.24 coll( Z, W, Y ), ! coll( T, U, W ), coll( Z, T, skol19( V0, V1, Z, T ) )
% 12.86/13.24 }.
% 12.86/13.24 (56607) {G0,W25,D3,L5,V6,M5} { ! para( U, W, X, Y ), ! coll( Z, U, X ), !
% 12.86/13.24 coll( Z, W, Y ), ! coll( T, U, W ), coll( skol19( X, Y, Z, T ), X, Y )
% 12.86/13.24 }.
% 12.86/13.24 (56608) {G0,W5,D2,L1,V0,M1} { perp( skol28, skol25, skol26, skol27 ) }.
% 12.86/13.24 (56609) {G0,W4,D2,L1,V0,M1} { coll( skol28, skol26, skol27 ) }.
% 12.86/13.24 (56610) {G0,W5,D2,L1,V0,M1} { perp( skol29, skol26, skol25, skol27 ) }.
% 12.86/13.24 (56611) {G0,W4,D2,L1,V0,M1} { coll( skol29, skol25, skol27 ) }.
% 12.86/13.24 (56612) {G0,W5,D2,L1,V0,M1} { perp( skol30, skol27, skol25, skol26 ) }.
% 12.86/13.24 (56613) {G0,W4,D2,L1,V0,M1} { coll( skol30, skol25, skol26 ) }.
% 12.86/13.24 (56614) {G0,W5,D2,L1,V0,M1} { perp( skol20, skol30, skol26, skol27 ) }.
% 12.86/13.24 (56615) {G0,W4,D2,L1,V0,M1} { coll( skol20, skol26, skol27 ) }.
% 12.86/13.24 (56616) {G0,W5,D2,L1,V0,M1} { perp( skol22, skol30, skol25, skol27 ) }.
% 12.86/13.24 (56617) {G0,W4,D2,L1,V0,M1} { coll( skol22, skol25, skol27 ) }.
% 12.86/13.24 (56618) {G0,W5,D2,L1,V0,M1} { perp( skol23, skol29, skol25, skol26 ) }.
% 12.86/13.24 (56619) {G0,W4,D2,L1,V0,M1} { coll( skol23, skol25, skol26 ) }.
% 12.86/13.24 (56620) {G0,W5,D2,L1,V0,M1} { perp( skol24, skol28, skol25, skol26 ) }.
% 12.86/13.24 (56621) {G0,W4,D2,L1,V0,M1} { coll( skol24, skol25, skol26 ) }.
% 12.86/13.24 (56622) {G0,W5,D2,L1,V0,M1} { ! cyclic( skol22, skol23, skol24, skol20 )
% 12.86/13.24 }.
% 12.86/13.24
% 12.86/13.24
% 12.86/13.24 Total Proof:
% 12.86/13.24
% 12.86/13.24 subsumption: (0) {G0,W8,D2,L2,V3,M2} I { ! coll( X, Y, Z ), coll( X, Z, Y )
% 12.86/13.24 }.
% 12.86/13.24 parent0: (56491) {G0,W8,D2,L2,V3,M2} { ! coll( X, Y, Z ), coll( X, Z, Y )
% 12.86/13.24 }.
% 12.86/13.24 substitution0:
% 12.86/13.24 X := X
% 12.86/13.24 Y := Y
% 12.86/13.24 Z := Z
% 12.86/13.24 end
% 12.86/13.24 permutation0:
% 12.86/13.24 0 ==> 0
% 12.86/13.24 1 ==> 1
% 12.86/13.24 end
% 12.86/13.24
% 12.86/13.24 subsumption: (1) {G0,W8,D2,L2,V3,M2} I { ! coll( X, Y, Z ), coll( Y, X, Z )
% 12.86/13.24 }.
% 12.86/13.24 parent0: (56492) {G0,W8,D2,L2,V3,M2} { ! coll( X, Y, Z ), coll( Y, X, Z )
% 12.86/13.24 }.
% 12.86/13.24 substitution0:
% 12.86/13.24 X := X
% 12.86/13.24 Y := Y
% 12.86/13.24 Z := Z
% 12.86/13.24 end
% 12.86/13.24 permutation0:
% 12.86/13.24 0 ==> 0
% 12.86/13.24 1 ==> 1
% 12.86/13.24 end
% 12.86/13.24
% 12.86/13.24 subsumption: (2) {G0,W12,D2,L3,V4,M3} I { ! coll( X, T, Y ), ! coll( X, T,
% 12.86/13.24 Z ), coll( Y, Z, X ) }.
% 12.86/13.24 parent0: (56493) {G0,W12,D2,L3,V4,M3} { ! coll( X, T, Y ), ! coll( X, T, Z
% 12.86/13.24 ), coll( Y, Z, X ) }.
% 12.86/13.24 substitution0:
% 12.86/13.24 X := X
% 12.86/13.24 Y := Y
% 12.86/13.24 Z := Z
% 12.86/13.24 T := T
% 12.86/13.24 end
% 12.86/13.24 permutation0:
% 12.86/13.24 0 ==> 0
% 12.86/13.24 1 ==> 1
% 12.86/13.24 2 ==> 2
% 12.86/13.24 end
% 12.86/13.24
% 12.86/13.24 subsumption: (6) {G0,W10,D2,L2,V4,M2} I { ! perp( X, Y, Z, T ), perp( X, Y
% 12.86/13.24 , T, Z ) }.
% 12.86/13.24 parent0: (56497) {G0,W10,D2,L2,V4,M2} { ! perp( X, Y, Z, T ), perp( X, Y,
% 12.86/13.24 T, Z ) }.
% 12.86/13.24 substitution0:
% 12.86/13.24 X := X
% 12.86/13.24 Y := Y
% 12.86/13.24 Z := Z
% 12.86/13.24 T := T
% 12.86/13.24 end
% 12.86/13.24 permutation0:
% 12.86/13.24 0 ==> 0
% 12.86/13.24 1 ==> 1
% 12.86/13.24 end
% 12.86/13.24
% 12.86/13.24 subsumption: (7) {G0,W10,D2,L2,V4,M2} I { ! perp( X, Y, Z, T ), perp( Z, T
% 12.86/13.24 , X, Y ) }.
% 12.86/13.24 parent0: (56498) {G0,W10,D2,L2,V4,M2} { ! perp( X, Y, Z, T ), perp( Z, T,
% 12.86/13.24 X, Y ) }.
% 12.86/13.24 substitution0:
% 12.86/13.24 X := X
% 12.86/13.24 Y := Y
% 12.86/13.24 Z := Z
% 12.86/13.24 T := T
% 12.86/13.24 end
% 12.86/13.24 permutation0:
% 12.86/13.24 0 ==> 0
% 12.86/13.24 1 ==> 1
% 12.86/13.24 end
% 12.86/13.24
% 12.86/13.24 subsumption: (8) {G0,W15,D2,L3,V6,M3} I { ! perp( X, Y, U, W ), ! perp( U,
% 12.86/13.24 W, Z, T ), para( X, Y, Z, T ) }.
% 12.86/13.24 parent0: (56499) {G0,W15,D2,L3,V6,M3} { ! perp( X, Y, U, W ), ! perp( U, W
% 12.86/13.24 , Z, T ), para( X, Y, Z, T ) }.
% 12.86/13.24 substitution0:
% 12.86/13.24 X := X
% 12.86/13.24 Y := Y
% 12.86/13.24 Z := Z
% 12.86/13.24 T := T
% 12.86/13.24 U := U
% 12.86/13.24 W := W
% 12.86/13.24 end
% 12.86/13.24 permutation0:
% 12.86/13.24 0 ==> 0
% 12.86/13.24 1 ==> 1
% 12.86/13.24 2 ==> 2
% 12.86/13.24 end
% 12.86/13.24
% 12.86/13.24 subsumption: (13) {G0,W10,D2,L2,V4,M2} I { ! cyclic( X, Y, Z, T ), cyclic(
% 12.86/13.24 X, Y, T, Z ) }.
% 12.86/13.24 parent0: (56504) {G0,W10,D2,L2,V4,M2} { ! cyclic( X, Y, Z, T ), cyclic( X
% 12.86/13.24 , Y, T, Z ) }.
% 12.86/13.24 substitution0:
% 12.86/13.24 X := X
% 12.86/13.24 Y := Y
% 12.86/13.24 Z := Z
% 12.86/13.24 T := T
% 12.86/13.24 end
% 12.86/13.24 permutation0:
% 12.86/13.24 0 ==> 0
% 12.86/13.24 1 ==> 1
% 12.86/13.24 end
% 12.86/13.24
% 12.86/13.24 subsumption: (14) {G0,W10,D2,L2,V4,M2} I { ! cyclic( X, Y, Z, T ), cyclic(
% 12.86/13.24 X, Z, Y, T ) }.
% 12.86/13.24 parent0: (56505) {G0,W10,D2,L2,V4,M2} { ! cyclic( X, Y, Z, T ), cyclic( X
% 12.86/13.24 , Z, Y, T ) }.
% 12.86/13.24 substitution0:
% 12.86/13.24 X := X
% 12.86/13.24 Y := Y
% 12.86/13.24 Z := Z
% 12.86/13.24 T := T
% 12.86/13.24 end
% 12.86/13.24 permutation0:
% 12.86/13.24 0 ==> 0
% 12.86/13.24 1 ==> 1
% 12.86/13.24 end
% 12.86/13.24
% 12.86/13.24 subsumption: (15) {G0,W10,D2,L2,V4,M2} I { ! cyclic( X, Y, Z, T ), cyclic(
% 12.86/13.24 Y, X, Z, T ) }.
% 12.86/13.24 parent0: (56506) {G0,W10,D2,L2,V4,M2} { ! cyclic( X, Y, Z, T ), cyclic( Y
% 12.86/13.24 , X, Z, T ) }.
% 12.86/13.24 substitution0:
% 12.86/13.24 X := X
% 12.86/13.24 Y := Y
% 12.86/13.24 Z := Z
% 12.86/13.24 T := T
% 12.86/13.24 end
% 12.86/13.24 permutation0:
% 12.86/13.24 0 ==> 0
% 12.86/13.24 1 ==> 1
% 12.86/13.24 end
% 12.86/13.24
% 12.86/13.24 subsumption: (16) {G0,W15,D2,L3,V5,M3} I { ! cyclic( U, X, Y, Z ), ! cyclic
% 12.86/13.24 ( U, X, Y, T ), cyclic( X, Y, Z, T ) }.
% 12.86/13.24 parent0: (56507) {G0,W15,D2,L3,V5,M3} { ! cyclic( U, X, Y, Z ), ! cyclic(
% 12.86/13.24 U, X, Y, T ), cyclic( X, Y, Z, T ) }.
% 12.86/13.24 substitution0:
% 12.86/13.24 X := X
% 12.86/13.24 Y := Y
% 12.86/13.24 Z := Z
% 12.86/13.24 T := T
% 12.86/13.24 U := U
% 12.86/13.24 end
% 12.86/13.24 permutation0:
% 12.86/13.24 0 ==> 0
% 12.86/13.24 1 ==> 1
% 12.86/13.24 2 ==> 2
% 12.86/13.24 end
% 12.86/13.24
% 12.86/13.24 subsumption: (18) {G0,W18,D2,L2,V8,M2} I { ! eqangle( X, Y, Z, T, U, W, V0
% 12.86/13.24 , V1 ), eqangle( Z, T, X, Y, V0, V1, U, W ) }.
% 12.86/13.24 parent0: (56509) {G0,W18,D2,L2,V8,M2} { ! eqangle( X, Y, Z, T, U, W, V0,
% 12.86/13.24 V1 ), eqangle( Z, T, X, Y, V0, V1, U, W ) }.
% 12.86/13.24 substitution0:
% 12.86/13.24 X := X
% 12.86/13.24 Y := Y
% 12.86/13.24 Z := Z
% 12.86/13.24 T := T
% 12.86/13.24 U := U
% 12.86/13.24 W := W
% 12.86/13.24 V0 := V0
% 12.86/13.24 V1 := V1
% 12.86/13.24 end
% 12.86/13.24 permutation0:
% 12.86/13.24 0 ==> 0
% 12.86/13.24 1 ==> 1
% 12.86/13.24 end
% 12.86/13.24
% 12.86/13.24 subsumption: (39) {G0,W14,D2,L2,V6,M2} I { ! para( X, Y, Z, T ), eqangle( X
% 12.86/13.24 , Y, U, W, Z, T, U, W ) }.
% 12.86/13.24 parent0: (56530) {G0,W14,D2,L2,V6,M2} { ! para( X, Y, Z, T ), eqangle( X,
% 12.86/13.24 Y, U, W, Z, T, U, W ) }.
% 12.86/13.24 substitution0:
% 12.86/13.24 X := X
% 12.86/13.24 Y := Y
% 12.86/13.24 Z := Z
% 12.86/13.24 T := T
% 12.86/13.24 U := U
% 12.86/13.24 W := W
% 12.86/13.24 end
% 12.86/13.24 permutation0:
% 12.86/13.24 0 ==> 0
% 12.86/13.24 1 ==> 1
% 12.86/13.24 end
% 12.86/13.24
% 12.86/13.24 subsumption: (42) {G0,W18,D2,L3,V4,M3} I { ! eqangle( Z, X, Z, Y, T, X, T,
% 12.86/13.24 Y ), ! coll( Z, T, Y ), cyclic( X, Y, Z, T ) }.
% 12.86/13.24 parent0: (56533) {G0,W18,D2,L3,V4,M3} { ! eqangle( Z, X, Z, Y, T, X, T, Y
% 12.86/13.24 ), ! coll( Z, T, Y ), cyclic( X, Y, Z, T ) }.
% 12.86/13.24 substitution0:
% 12.86/13.24 X := X
% 12.86/13.24 Y := Y
% 12.86/13.24 Z := Z
% 12.86/13.24 T := T
% 12.86/13.24 end
% 12.86/13.24 permutation0:
% 12.86/13.24 0 ==> 0
% 12.86/13.24 1 ==> 1
% 12.86/13.24 2 ==> 2
% 12.86/13.24 end
% 12.86/13.24
% 12.86/13.24 subsumption: (120) {G0,W5,D2,L1,V0,M1} I { perp( skol30, skol27, skol25,
% 12.86/13.24 skol26 ) }.
% 12.86/13.24 parent0: (56612) {G0,W5,D2,L1,V0,M1} { perp( skol30, skol27, skol25,
% 12.86/13.24 skol26 ) }.
% 12.86/13.24 substitution0:
% 12.86/13.24 end
% 12.86/13.24 permutation0:
% 12.86/13.24 0 ==> 0
% 12.86/13.24 end
% 12.86/13.24
% 12.86/13.24 subsumption: (129) {G0,W4,D2,L1,V0,M1} I { coll( skol24, skol25, skol26 )
% 12.86/13.24 }.
% 12.86/13.24 parent0: (56621) {G0,W4,D2,L1,V0,M1} { coll( skol24, skol25, skol26 ) }.
% 12.86/13.24 substitution0:
% 12.86/13.24 end
% 12.86/13.24 permutation0:
% 12.86/13.24 0 ==> 0
% 12.86/13.24 end
% 12.86/13.24
% 12.86/13.24 subsumption: (130) {G0,W5,D2,L1,V0,M1} I { ! cyclic( skol22, skol23, skol24
% 12.86/13.24 , skol20 ) }.
% 12.86/13.24 parent0: (56622) {G0,W5,D2,L1,V0,M1} { ! cyclic( skol22, skol23, skol24,
% 12.86/13.24 skol20 ) }.
% 12.86/13.24 substitution0:
% 12.86/13.24 end
% 12.86/13.24 permutation0:
% 12.86/13.24 0 ==> 0
% 12.86/13.24 end
% 12.86/13.24
% 12.86/13.24 resolution: (56857) {G1,W4,D2,L1,V0,M1} { coll( skol25, skol24, skol26 )
% 12.86/13.24 }.
% 12.86/13.24 parent0[0]: (1) {G0,W8,D2,L2,V3,M2} I { ! coll( X, Y, Z ), coll( Y, X, Z )
% 12.86/13.24 }.
% 12.86/13.24 parent1[0]: (129) {G0,W4,D2,L1,V0,M1} I { coll( skol24, skol25, skol26 )
% 12.86/13.24 }.
% 12.86/13.24 substitution0:
% 12.86/13.24 X := skol24
% 12.86/13.24 Y := skol25
% 12.86/13.24 Z := skol26
% 12.86/13.24 end
% 12.86/13.24 substitution1:
% 12.86/13.24 end
% 12.86/13.24
% 12.86/13.24 subsumption: (183) {G1,W4,D2,L1,V0,M1} R(1,129) { coll( skol25, skol24,
% 12.86/13.24 skol26 ) }.
% 12.86/13.24 parent0: (56857) {G1,W4,D2,L1,V0,M1} { coll( skol25, skol24, skol26 ) }.
% 12.86/13.24 substitution0:
% 12.86/13.24 end
% 12.86/13.24 permutation0:
% 12.86/13.24 0 ==> 0
% 12.86/13.24 end
% 12.86/13.24
% 12.86/13.24 resolution: (56861) {G1,W12,D2,L3,V4,M3} { coll( X, Z, Y ), ! coll( Z, T,
% 12.86/13.24 X ), ! coll( Z, T, Y ) }.
% 12.86/13.24 parent0[0]: (0) {G0,W8,D2,L2,V3,M2} I { ! coll( X, Y, Z ), coll( X, Z, Y )
% 12.86/13.24 }.
% 12.86/13.24 parent1[2]: (2) {G0,W12,D2,L3,V4,M3} I { ! coll( X, T, Y ), ! coll( X, T, Z
% 12.86/13.24 ), coll( Y, Z, X ) }.
% 12.86/13.24 substitution0:
% 12.86/13.24 X := X
% 12.86/13.24 Y := Y
% 12.86/13.24 Z := Z
% 12.86/13.24 end
% 12.86/13.24 substitution1:
% 12.86/13.24 X := Z
% 12.86/13.24 Y := X
% 12.86/13.24 Z := Y
% 12.86/13.24 T := T
% 12.86/13.24 end
% 12.86/13.24
% 12.86/13.24 subsumption: (209) {G1,W12,D2,L3,V4,M3} R(2,0) { ! coll( X, Y, Z ), ! coll
% 12.86/13.24 ( X, Y, T ), coll( Z, X, T ) }.
% 12.86/13.24 parent0: (56861) {G1,W12,D2,L3,V4,M3} { coll( X, Z, Y ), ! coll( Z, T, X )
% 12.86/13.24 , ! coll( Z, T, Y ) }.
% 12.86/13.24 substitution0:
% 12.86/13.24 X := Z
% 12.86/13.24 Y := T
% 12.86/13.24 Z := X
% 12.86/13.24 T := Y
% 12.86/13.24 end
% 12.86/13.24 permutation0:
% 12.86/13.24 0 ==> 2
% 12.86/13.24 1 ==> 0
% 12.86/13.24 2 ==> 1
% 12.86/13.24 end
% 12.86/13.24
% 12.86/13.24 factor: (56863) {G1,W8,D2,L2,V3,M2} { ! coll( X, Y, Z ), coll( Z, X, Z )
% 12.86/13.24 }.
% 12.86/13.24 parent0[0, 1]: (209) {G1,W12,D2,L3,V4,M3} R(2,0) { ! coll( X, Y, Z ), !
% 12.86/13.24 coll( X, Y, T ), coll( Z, X, T ) }.
% 12.86/13.24 substitution0:
% 12.86/13.24 X := X
% 12.86/13.24 Y := Y
% 12.86/13.24 Z := Z
% 12.86/13.24 T := Z
% 12.86/13.24 end
% 12.86/13.24
% 12.86/13.24 subsumption: (220) {G2,W8,D2,L2,V3,M2} F(209) { ! coll( X, Y, Z ), coll( Z
% 12.86/13.24 , X, Z ) }.
% 12.86/13.24 parent0: (56863) {G1,W8,D2,L2,V3,M2} { ! coll( X, Y, Z ), coll( Z, X, Z )
% 12.86/13.24 }.
% 12.86/13.24 substitution0:
% 12.86/13.24 X := X
% 12.86/13.24 Y := Y
% 12.86/13.24 Z := Z
% 12.86/13.24 end
% 12.86/13.24 permutation0:
% 12.86/13.24 0 ==> 0
% 12.86/13.24 1 ==> 1
% 12.86/13.24 end
% 12.86/13.24
% 12.86/13.24 resolution: (56864) {G1,W4,D2,L1,V0,M1} { coll( skol25, skol26, skol24 )
% 12.86/13.24 }.
% 12.86/13.24 parent0[0]: (0) {G0,W8,D2,L2,V3,M2} I { ! coll( X, Y, Z ), coll( X, Z, Y )
% 12.86/13.24 }.
% 12.86/13.24 parent1[0]: (183) {G1,W4,D2,L1,V0,M1} R(1,129) { coll( skol25, skol24,
% 12.86/13.24 skol26 ) }.
% 12.86/13.24 substitution0:
% 12.86/13.24 X := skol25
% 12.86/13.24 Y := skol24
% 12.86/13.24 Z := skol26
% 12.86/13.24 end
% 12.86/13.24 substitution1:
% 12.86/13.24 end
% 12.86/13.24
% 12.86/13.24 subsumption: (264) {G2,W4,D2,L1,V0,M1} R(183,0) { coll( skol25, skol26,
% 12.86/13.24 skol24 ) }.
% 12.86/13.24 parent0: (56864) {G1,W4,D2,L1,V0,M1} { coll( skol25, skol26, skol24 ) }.
% 12.86/13.24 substitution0:
% 12.86/13.24 end
% 12.86/13.24 permutation0:
% 12.86/13.24 0 ==> 0
% 12.86/13.24 end
% 12.86/13.24
% 12.86/13.24 resolution: (56865) {G1,W4,D2,L1,V0,M1} { coll( skol26, skol25, skol24 )
% 12.86/13.24 }.
% 12.86/13.24 parent0[0]: (1) {G0,W8,D2,L2,V3,M2} I { ! coll( X, Y, Z ), coll( Y, X, Z )
% 12.86/13.24 }.
% 12.86/13.24 parent1[0]: (264) {G2,W4,D2,L1,V0,M1} R(183,0) { coll( skol25, skol26,
% 12.86/13.24 skol24 ) }.
% 12.86/13.24 substitution0:
% 12.86/13.24 X := skol25
% 12.86/13.24 Y := skol26
% 12.86/13.24 Z := skol24
% 12.86/13.24 end
% 12.86/13.24 substitution1:
% 12.86/13.24 end
% 12.86/13.24
% 12.86/13.24 subsumption: (267) {G3,W4,D2,L1,V0,M1} R(264,1) { coll( skol26, skol25,
% 12.86/13.24 skol24 ) }.
% 12.86/13.24 parent0: (56865) {G1,W4,D2,L1,V0,M1} { coll( skol26, skol25, skol24 ) }.
% 12.86/13.24 substitution0:
% 12.86/13.24 end
% 12.86/13.24 permutation0:
% 12.86/13.24 0 ==> 0
% 12.86/13.24 end
% 12.86/13.24
% 12.86/13.24 resolution: (56866) {G1,W4,D2,L1,V0,M1} { coll( skol26, skol24, skol25 )
% 12.86/13.24 }.
% 12.86/13.24 parent0[0]: (0) {G0,W8,D2,L2,V3,M2} I { ! coll( X, Y, Z ), coll( X, Z, Y )
% 12.86/13.24 }.
% 12.86/13.24 parent1[0]: (267) {G3,W4,D2,L1,V0,M1} R(264,1) { coll( skol26, skol25,
% 12.86/13.24 skol24 ) }.
% 12.86/13.24 substitution0:
% 12.86/13.24 X := skol26
% 12.86/13.24 Y := skol25
% 12.86/13.24 Z := skol24
% 12.86/13.24 end
% 12.86/13.24 substitution1:
% 12.86/13.24 end
% 12.86/13.24
% 12.86/13.24 subsumption: (270) {G4,W4,D2,L1,V0,M1} R(267,0) { coll( skol26, skol24,
% 12.86/13.24 skol25 ) }.
% 12.86/13.24 parent0: (56866) {G1,W4,D2,L1,V0,M1} { coll( skol26, skol24, skol25 ) }.
% 12.86/13.24 substitution0:
% 12.86/13.24 end
% 12.86/13.24 permutation0:
% 12.86/13.24 0 ==> 0
% 12.86/13.24 end
% 12.86/13.24
% 12.86/13.24 resolution: (56868) {G1,W15,D2,L3,V6,M3} { ! perp( X, Y, Z, T ), para( X,
% 12.86/13.24 Y, U, W ), ! perp( U, W, Z, T ) }.
% 12.86/13.24 parent0[1]: (8) {G0,W15,D2,L3,V6,M3} I { ! perp( X, Y, U, W ), ! perp( U, W
% 12.86/13.24 , Z, T ), para( X, Y, Z, T ) }.
% 12.86/13.24 parent1[1]: (7) {G0,W10,D2,L2,V4,M2} I { ! perp( X, Y, Z, T ), perp( Z, T,
% 12.86/13.24 X, Y ) }.
% 12.86/13.24 substitution0:
% 12.86/13.24 X := X
% 12.86/13.24 Y := Y
% 12.86/13.24 Z := U
% 12.86/13.24 T := W
% 12.86/13.24 U := Z
% 12.86/13.24 W := T
% 12.86/13.24 end
% 12.86/13.24 substitution1:
% 12.86/13.24 X := U
% 12.86/13.24 Y := W
% 12.86/13.24 Z := Z
% 12.86/13.24 T := T
% 12.86/13.24 end
% 12.86/13.24
% 12.86/13.24 subsumption: (299) {G1,W15,D2,L3,V6,M3} R(8,7) { ! perp( X, Y, Z, T ), para
% 12.86/13.24 ( X, Y, U, W ), ! perp( U, W, Z, T ) }.
% 12.86/13.24 parent0: (56868) {G1,W15,D2,L3,V6,M3} { ! perp( X, Y, Z, T ), para( X, Y,
% 12.86/13.24 U, W ), ! perp( U, W, Z, T ) }.
% 12.86/13.24 substitution0:
% 12.86/13.24 X := X
% 12.86/13.24 Y := Y
% 12.86/13.24 Z := Z
% 12.86/13.24 T := T
% 12.86/13.24 U := U
% 12.86/13.24 W := W
% 12.86/13.24 end
% 12.86/13.24 permutation0:
% 12.86/13.24 0 ==> 0
% 12.86/13.24 1 ==> 1
% 12.86/13.24 2 ==> 2
% 12.86/13.24 end
% 12.86/13.24
% 12.86/13.24 factor: (56871) {G1,W10,D2,L2,V4,M2} { ! perp( X, Y, Z, T ), para( X, Y, X
% 12.86/13.24 , Y ) }.
% 12.86/13.24 parent0[0, 2]: (299) {G1,W15,D2,L3,V6,M3} R(8,7) { ! perp( X, Y, Z, T ),
% 12.86/13.24 para( X, Y, U, W ), ! perp( U, W, Z, T ) }.
% 12.86/13.24 substitution0:
% 12.86/13.24 X := X
% 12.86/13.24 Y := Y
% 12.86/13.24 Z := Z
% 12.86/13.24 T := T
% 12.86/13.24 U := X
% 12.86/13.24 W := Y
% 12.86/13.24 end
% 12.86/13.24
% 12.86/13.24 subsumption: (307) {G2,W10,D2,L2,V4,M2} F(299) { ! perp( X, Y, Z, T ), para
% 12.86/13.24 ( X, Y, X, Y ) }.
% 12.86/13.24 parent0: (56871) {G1,W10,D2,L2,V4,M2} { ! perp( X, Y, Z, T ), para( X, Y,
% 12.86/13.24 X, Y ) }.
% 12.86/13.24 substitution0:
% 12.86/13.24 X := X
% 12.86/13.24 Y := Y
% 12.86/13.24 Z := Z
% 12.86/13.24 T := T
% 12.86/13.24 end
% 12.86/13.24 permutation0:
% 12.86/13.24 0 ==> 0
% 12.86/13.24 1 ==> 1
% 12.86/13.24 end
% 12.86/13.24
% 12.86/13.24 resolution: (56872) {G1,W5,D2,L1,V0,M1} { ! cyclic( skol22, skol23, skol20
% 12.86/13.24 , skol24 ) }.
% 12.86/13.24 parent0[0]: (130) {G0,W5,D2,L1,V0,M1} I { ! cyclic( skol22, skol23, skol24
% 12.86/13.24 , skol20 ) }.
% 12.86/13.24 parent1[1]: (13) {G0,W10,D2,L2,V4,M2} I { ! cyclic( X, Y, Z, T ), cyclic( X
% 12.86/13.24 , Y, T, Z ) }.
% 12.86/13.24 substitution0:
% 12.86/13.24 end
% 12.86/13.24 substitution1:
% 12.86/13.24 X := skol22
% 12.86/13.24 Y := skol23
% 12.86/13.24 Z := skol20
% 12.86/13.24 T := skol24
% 12.86/13.24 end
% 12.86/13.24
% 12.86/13.24 subsumption: (387) {G1,W5,D2,L1,V0,M1} R(13,130) { ! cyclic( skol22, skol23
% 12.86/13.24 , skol20, skol24 ) }.
% 12.86/13.24 parent0: (56872) {G1,W5,D2,L1,V0,M1} { ! cyclic( skol22, skol23, skol20,
% 12.86/13.24 skol24 ) }.
% 12.86/13.24 substitution0:
% 12.86/13.24 end
% 12.86/13.24 permutation0:
% 12.86/13.24 0 ==> 0
% 12.86/13.24 end
% 12.86/13.24
% 12.86/13.24 resolution: (56874) {G1,W10,D2,L2,V4,M2} { cyclic( X, Y, T, Z ), ! cyclic
% 12.86/13.24 ( X, Z, Y, T ) }.
% 12.86/13.24 parent0[0]: (13) {G0,W10,D2,L2,V4,M2} I { ! cyclic( X, Y, Z, T ), cyclic( X
% 12.86/13.24 , Y, T, Z ) }.
% 12.86/13.24 parent1[1]: (14) {G0,W10,D2,L2,V4,M2} I { ! cyclic( X, Y, Z, T ), cyclic( X
% 12.86/13.24 , Z, Y, T ) }.
% 12.86/13.24 substitution0:
% 12.86/13.24 X := X
% 12.86/13.24 Y := Y
% 12.86/13.24 Z := Z
% 12.86/13.24 T := T
% 12.86/13.24 end
% 12.86/13.24 substitution1:
% 12.86/13.24 X := X
% 12.86/13.24 Y := Z
% 12.86/13.24 Z := Y
% 12.86/13.24 T := T
% 12.86/13.24 end
% 12.86/13.24
% 12.86/13.24 subsumption: (401) {G1,W10,D2,L2,V4,M2} R(14,13) { ! cyclic( X, Y, Z, T ),
% 12.86/13.24 cyclic( X, Z, T, Y ) }.
% 12.86/13.24 parent0: (56874) {G1,W10,D2,L2,V4,M2} { cyclic( X, Y, T, Z ), ! cyclic( X
% 12.86/13.24 , Z, Y, T ) }.
% 12.86/13.24 substitution0:
% 12.86/13.24 X := X
% 12.86/13.24 Y := Z
% 12.86/13.24 Z := Y
% 12.86/13.24 T := T
% 12.86/13.24 end
% 12.86/13.24 permutation0:
% 12.86/13.24 0 ==> 1
% 12.86/13.24 1 ==> 0
% 12.86/13.24 end
% 12.86/13.24
% 12.86/13.24 resolution: (56875) {G1,W10,D2,L2,V4,M2} { cyclic( Y, X, Z, T ), ! cyclic
% 12.86/13.24 ( X, Z, Y, T ) }.
% 12.86/13.24 parent0[0]: (15) {G0,W10,D2,L2,V4,M2} I { ! cyclic( X, Y, Z, T ), cyclic( Y
% 12.86/13.24 , X, Z, T ) }.
% 12.86/13.24 parent1[1]: (14) {G0,W10,D2,L2,V4,M2} I { ! cyclic( X, Y, Z, T ), cyclic( X
% 12.86/13.24 , Z, Y, T ) }.
% 12.86/13.24 substitution0:
% 12.86/13.24 X := X
% 12.86/13.24 Y := Y
% 12.86/13.24 Z := Z
% 12.86/13.24 T := T
% 12.86/13.24 end
% 12.86/13.24 substitution1:
% 12.86/13.24 X := X
% 12.86/13.24 Y := Z
% 12.86/13.24 Z := Y
% 12.86/13.24 T := T
% 12.86/13.24 end
% 12.86/13.24
% 12.86/13.24 subsumption: (409) {G1,W10,D2,L2,V4,M2} R(15,14) { cyclic( X, Y, Z, T ), !
% 12.86/13.24 cyclic( Y, Z, X, T ) }.
% 12.86/13.24 parent0: (56875) {G1,W10,D2,L2,V4,M2} { cyclic( Y, X, Z, T ), ! cyclic( X
% 12.86/13.24 , Z, Y, T ) }.
% 12.86/13.24 substitution0:
% 12.86/13.24 X := Y
% 12.86/13.24 Y := X
% 12.86/13.24 Z := Z
% 12.86/13.24 T := T
% 12.86/13.24 end
% 12.86/13.24 permutation0:
% 12.86/13.24 0 ==> 0
% 12.86/13.24 1 ==> 1
% 12.86/13.24 end
% 12.86/13.24
% 12.86/13.24 resolution: (56876) {G1,W5,D2,L1,V0,M1} { ! cyclic( skol23, skol22, skol20
% 12.86/13.24 , skol24 ) }.
% 12.86/13.24 parent0[0]: (387) {G1,W5,D2,L1,V0,M1} R(13,130) { ! cyclic( skol22, skol23
% 12.86/13.24 , skol20, skol24 ) }.
% 12.86/13.24 parent1[1]: (15) {G0,W10,D2,L2,V4,M2} I { ! cyclic( X, Y, Z, T ), cyclic( Y
% 12.86/13.24 , X, Z, T ) }.
% 12.86/13.24 substitution0:
% 12.86/13.24 end
% 12.86/13.24 substitution1:
% 12.86/13.24 X := skol23
% 12.86/13.24 Y := skol22
% 12.86/13.24 Z := skol20
% 12.86/13.24 T := skol24
% 12.86/13.24 end
% 12.86/13.24
% 12.86/13.24 subsumption: (411) {G2,W5,D2,L1,V0,M1} R(15,387) { ! cyclic( skol23, skol22
% 12.86/13.24 , skol20, skol24 ) }.
% 12.86/13.24 parent0: (56876) {G1,W5,D2,L1,V0,M1} { ! cyclic( skol23, skol22, skol20,
% 12.86/13.24 skol24 ) }.
% 12.86/13.24 substitution0:
% 12.86/13.24 end
% 12.86/13.24 permutation0:
% 12.86/13.24 0 ==> 0
% 12.86/13.24 end
% 12.86/13.24
% 12.86/13.24 resolution: (56877) {G1,W10,D2,L2,V4,M2} { cyclic( Y, X, Z, T ), ! cyclic
% 12.86/13.24 ( X, Y, T, Z ) }.
% 12.86/13.24 parent0[0]: (15) {G0,W10,D2,L2,V4,M2} I { ! cyclic( X, Y, Z, T ), cyclic( Y
% 12.86/13.24 , X, Z, T ) }.
% 12.86/13.24 parent1[1]: (13) {G0,W10,D2,L2,V4,M2} I { ! cyclic( X, Y, Z, T ), cyclic( X
% 12.86/13.24 , Y, T, Z ) }.
% 12.86/13.24 substitution0:
% 12.86/13.24 X := X
% 12.86/13.24 Y := Y
% 12.86/13.24 Z := Z
% 12.86/13.24 T := T
% 12.86/13.24 end
% 12.86/13.24 substitution1:
% 12.86/13.24 X := X
% 12.86/13.24 Y := Y
% 12.86/13.24 Z := T
% 12.86/13.24 T := Z
% 12.86/13.24 end
% 12.86/13.24
% 12.86/13.24 subsumption: (412) {G1,W10,D2,L2,V4,M2} R(15,13) { cyclic( X, Y, Z, T ), !
% 12.86/13.24 cyclic( Y, X, T, Z ) }.
% 12.86/13.24 parent0: (56877) {G1,W10,D2,L2,V4,M2} { cyclic( Y, X, Z, T ), ! cyclic( X
% 12.86/13.24 , Y, T, Z ) }.
% 12.86/13.24 substitution0:
% 12.86/13.24 X := Y
% 12.86/13.24 Y := X
% 12.86/13.24 Z := Z
% 12.86/13.24 T := T
% 12.86/13.24 end
% 12.86/13.24 permutation0:
% 12.86/13.24 0 ==> 0
% 12.86/13.24 1 ==> 1
% 12.86/13.24 end
% 12.86/13.24
% 12.86/13.24 resolution: (56881) {G1,W15,D2,L3,V5,M3} { cyclic( Y, X, Z, T ), ! cyclic
% 12.86/13.24 ( U, X, Y, Z ), ! cyclic( U, X, Y, T ) }.
% 12.86/13.24 parent0[0]: (15) {G0,W10,D2,L2,V4,M2} I { ! cyclic( X, Y, Z, T ), cyclic( Y
% 12.86/13.24 , X, Z, T ) }.
% 12.86/13.24 parent1[2]: (16) {G0,W15,D2,L3,V5,M3} I { ! cyclic( U, X, Y, Z ), ! cyclic
% 12.86/13.24 ( U, X, Y, T ), cyclic( X, Y, Z, T ) }.
% 12.86/13.24 substitution0:
% 12.86/13.24 X := X
% 12.86/13.24 Y := Y
% 12.86/13.24 Z := Z
% 12.86/13.24 T := T
% 12.86/13.24 end
% 12.86/13.24 substitution1:
% 12.86/13.24 X := X
% 12.86/13.24 Y := Y
% 12.86/13.24 Z := Z
% 12.86/13.24 T := T
% 12.86/13.24 U := U
% 12.86/13.24 end
% 12.86/13.24
% 12.86/13.24 subsumption: (433) {G1,W15,D2,L3,V5,M3} R(16,15) { ! cyclic( X, Y, Z, T ),
% 12.86/13.24 ! cyclic( X, Y, Z, U ), cyclic( Z, Y, T, U ) }.
% 12.86/13.24 parent0: (56881) {G1,W15,D2,L3,V5,M3} { cyclic( Y, X, Z, T ), ! cyclic( U
% 12.86/13.24 , X, Y, Z ), ! cyclic( U, X, Y, T ) }.
% 12.86/13.24 substitution0:
% 12.86/13.24 X := Y
% 12.86/13.24 Y := Z
% 12.86/13.24 Z := T
% 12.86/13.24 T := U
% 12.86/13.24 U := X
% 12.86/13.24 end
% 12.86/13.24 permutation0:
% 12.86/13.24 0 ==> 2
% 12.86/13.24 1 ==> 0
% 12.86/13.24 2 ==> 1
% 12.86/13.24 end
% 12.86/13.24
% 12.86/13.24 resolution: (56884) {G1,W15,D2,L3,V5,M3} { ! cyclic( X, Y, Z, T ), cyclic
% 12.86/13.24 ( Y, Z, T, U ), ! cyclic( X, Y, U, Z ) }.
% 12.86/13.24 parent0[1]: (16) {G0,W15,D2,L3,V5,M3} I { ! cyclic( U, X, Y, Z ), ! cyclic
% 12.86/13.24 ( U, X, Y, T ), cyclic( X, Y, Z, T ) }.
% 12.86/13.24 parent1[1]: (13) {G0,W10,D2,L2,V4,M2} I { ! cyclic( X, Y, Z, T ), cyclic( X
% 12.86/13.24 , Y, T, Z ) }.
% 12.86/13.24 substitution0:
% 12.86/13.24 X := Y
% 12.86/13.24 Y := Z
% 12.86/13.24 Z := T
% 12.86/13.24 T := U
% 12.86/13.24 U := X
% 12.86/13.24 end
% 12.86/13.24 substitution1:
% 12.86/13.24 X := X
% 12.86/13.24 Y := Y
% 12.86/13.24 Z := U
% 12.86/13.24 T := Z
% 12.86/13.24 end
% 12.86/13.24
% 12.86/13.24 subsumption: (441) {G1,W15,D2,L3,V5,M3} R(16,13) { ! cyclic( X, Y, Z, T ),
% 12.86/13.24 cyclic( Y, Z, T, U ), ! cyclic( X, Y, U, Z ) }.
% 12.86/13.24 parent0: (56884) {G1,W15,D2,L3,V5,M3} { ! cyclic( X, Y, Z, T ), cyclic( Y
% 12.86/13.24 , Z, T, U ), ! cyclic( X, Y, U, Z ) }.
% 12.86/13.24 substitution0:
% 12.86/13.24 X := X
% 12.86/13.24 Y := Y
% 12.86/13.24 Z := Z
% 12.86/13.24 T := T
% 12.86/13.24 U := U
% 12.86/13.24 end
% 12.86/13.24 permutation0:
% 12.86/13.24 0 ==> 0
% 12.86/13.24 1 ==> 1
% 12.86/13.24 2 ==> 2
% 12.86/13.24 end
% 12.86/13.24
% 12.86/13.24 factor: (56886) {G1,W10,D2,L2,V4,M2} { ! cyclic( X, Y, Z, T ), cyclic( Z,
% 12.86/13.24 Y, T, T ) }.
% 12.86/13.24 parent0[0, 1]: (433) {G1,W15,D2,L3,V5,M3} R(16,15) { ! cyclic( X, Y, Z, T )
% 12.86/13.24 , ! cyclic( X, Y, Z, U ), cyclic( Z, Y, T, U ) }.
% 12.86/13.24 substitution0:
% 12.86/13.24 X := X
% 12.86/13.24 Y := Y
% 12.86/13.24 Z := Z
% 12.86/13.24 T := T
% 12.86/13.24 U := T
% 12.86/13.24 end
% 12.86/13.24
% 12.86/13.24 subsumption: (445) {G2,W10,D2,L2,V4,M2} F(433) { ! cyclic( X, Y, Z, T ),
% 12.86/13.24 cyclic( Z, Y, T, T ) }.
% 12.86/13.24 parent0: (56886) {G1,W10,D2,L2,V4,M2} { ! cyclic( X, Y, Z, T ), cyclic( Z
% 12.86/13.24 , Y, T, T ) }.
% 12.86/13.24 substitution0:
% 12.86/13.24 X := X
% 12.86/13.24 Y := Y
% 12.86/13.24 Z := Z
% 12.86/13.24 T := T
% 12.86/13.24 end
% 12.86/13.24 permutation0:
% 12.86/13.24 0 ==> 0
% 12.86/13.24 1 ==> 1
% 12.86/13.24 end
% 12.86/13.24
% 12.86/13.24 resolution: (56887) {G1,W10,D2,L2,V1,M2} { ! cyclic( X, skol23, skol22,
% 12.86/13.24 skol20 ), ! cyclic( X, skol23, skol22, skol24 ) }.
% 12.86/13.24 parent0[0]: (411) {G2,W5,D2,L1,V0,M1} R(15,387) { ! cyclic( skol23, skol22
% 12.86/13.24 , skol20, skol24 ) }.
% 12.86/13.24 parent1[2]: (16) {G0,W15,D2,L3,V5,M3} I { ! cyclic( U, X, Y, Z ), ! cyclic
% 12.86/13.24 ( U, X, Y, T ), cyclic( X, Y, Z, T ) }.
% 12.86/13.24 substitution0:
% 12.86/13.24 end
% 12.86/13.24 substitution1:
% 12.86/13.24 X := skol23
% 12.86/13.24 Y := skol22
% 12.86/13.24 Z := skol20
% 12.86/13.24 T := skol24
% 12.86/13.24 U := X
% 12.86/13.24 end
% 12.86/13.24
% 12.86/13.24 subsumption: (466) {G3,W10,D2,L2,V1,M2} R(411,16) { ! cyclic( X, skol23,
% 12.86/13.24 skol22, skol20 ), ! cyclic( X, skol23, skol22, skol24 ) }.
% 12.86/13.24 parent0: (56887) {G1,W10,D2,L2,V1,M2} { ! cyclic( X, skol23, skol22,
% 12.86/13.24 skol20 ), ! cyclic( X, skol23, skol22, skol24 ) }.
% 12.86/13.24 substitution0:
% 12.86/13.24 X := X
% 12.86/13.24 end
% 12.86/13.24 permutation0:
% 12.86/13.24 0 ==> 0
% 12.86/13.24 1 ==> 1
% 12.86/13.24 end
% 12.86/13.24
% 12.86/13.24 resolution: (56888) {G1,W5,D2,L1,V0,M1} { perp( skol25, skol26, skol30,
% 12.86/13.24 skol27 ) }.
% 12.86/13.24 parent0[0]: (7) {G0,W10,D2,L2,V4,M2} I { ! perp( X, Y, Z, T ), perp( Z, T,
% 12.86/13.24 X, Y ) }.
% 12.86/13.24 parent1[0]: (120) {G0,W5,D2,L1,V0,M1} I { perp( skol30, skol27, skol25,
% 12.86/13.24 skol26 ) }.
% 12.86/13.24 substitution0:
% 12.86/13.24 X := skol30
% 12.86/13.24 Y := skol27
% 12.86/13.24 Z := skol25
% 12.86/13.24 T := skol26
% 12.86/13.24 end
% 12.86/13.24 substitution1:
% 12.86/13.24 end
% 12.86/13.24
% 12.86/13.24 subsumption: (560) {G1,W5,D2,L1,V0,M1} R(120,7) { perp( skol25, skol26,
% 12.86/13.24 skol30, skol27 ) }.
% 12.86/13.24 parent0: (56888) {G1,W5,D2,L1,V0,M1} { perp( skol25, skol26, skol30,
% 12.86/13.24 skol27 ) }.
% 12.86/13.24 substitution0:
% 12.86/13.24 end
% 12.86/13.24 permutation0:
% 12.86/13.24 0 ==> 0
% 12.86/13.24 end
% 12.86/13.24
% 12.86/13.24 resolution: (56889) {G1,W5,D2,L1,V0,M1} { perp( skol25, skol26, skol27,
% 12.86/13.24 skol30 ) }.
% 12.86/13.24 parent0[0]: (6) {G0,W10,D2,L2,V4,M2} I { ! perp( X, Y, Z, T ), perp( X, Y,
% 12.86/13.24 T, Z ) }.
% 12.86/13.24 parent1[0]: (560) {G1,W5,D2,L1,V0,M1} R(120,7) { perp( skol25, skol26,
% 12.86/13.24 skol30, skol27 ) }.
% 12.86/13.24 substitution0:
% 12.86/13.24 X := skol25
% 12.86/13.24 Y := skol26
% 12.86/13.24 Z := skol30
% 12.86/13.24 T := skol27
% 12.86/13.24 end
% 12.86/13.24 substitution1:
% 12.86/13.24 end
% 12.86/13.24
% 12.86/13.24 subsumption: (565) {G2,W5,D2,L1,V0,M1} R(560,6) { perp( skol25, skol26,
% 12.86/13.24 skol27, skol30 ) }.
% 12.86/13.24 parent0: (56889) {G1,W5,D2,L1,V0,M1} { perp( skol25, skol26, skol27,
% 12.86/13.24 skol30 ) }.
% 12.86/13.24 substitution0:
% 12.86/13.24 end
% 12.86/13.24 permutation0:
% 12.86/13.24 0 ==> 0
% 12.86/13.24 end
% 12.86/13.24
% 12.86/13.24 resolution: (56890) {G3,W4,D2,L1,V0,M1} { coll( skol25, skol26, skol25 )
% 12.86/13.24 }.
% 12.86/13.24 parent0[0]: (220) {G2,W8,D2,L2,V3,M2} F(209) { ! coll( X, Y, Z ), coll( Z,
% 12.86/13.24 X, Z ) }.
% 12.86/13.24 parent1[0]: (270) {G4,W4,D2,L1,V0,M1} R(267,0) { coll( skol26, skol24,
% 12.86/13.24 skol25 ) }.
% 12.86/13.24 substitution0:
% 12.86/13.24 X := skol26
% 12.86/13.24 Y := skol24
% 12.86/13.24 Z := skol25
% 12.86/13.24 end
% 12.86/13.24 substitution1:
% 12.86/13.24 end
% 12.86/13.24
% 12.86/13.24 subsumption: (699) {G5,W4,D2,L1,V0,M1} R(220,270) { coll( skol25, skol26,
% 12.86/13.24 skol25 ) }.
% 12.86/13.24 parent0: (56890) {G3,W4,D2,L1,V0,M1} { coll( skol25, skol26, skol25 ) }.
% 12.86/13.24 substitution0:
% 12.86/13.24 end
% 12.86/13.24 permutation0:
% 12.86/13.24 0 ==> 0
% 12.86/13.24 end
% 12.86/13.24
% 12.86/13.24 resolution: (56891) {G1,W14,D2,L2,V6,M2} { eqangle( Z, T, X, Y, Z, T, U, W
% 12.86/13.24 ), ! para( X, Y, U, W ) }.
% 12.86/13.24 parent0[0]: (18) {G0,W18,D2,L2,V8,M2} I { ! eqangle( X, Y, Z, T, U, W, V0,
% 12.86/13.24 V1 ), eqangle( Z, T, X, Y, V0, V1, U, W ) }.
% 12.86/13.24 parent1[1]: (39) {G0,W14,D2,L2,V6,M2} I { ! para( X, Y, Z, T ), eqangle( X
% 12.86/13.24 , Y, U, W, Z, T, U, W ) }.
% 12.86/13.24 substitution0:
% 12.86/13.24 X := X
% 12.86/13.24 Y := Y
% 12.86/13.24 Z := Z
% 12.86/13.24 T := T
% 12.86/13.24 U := U
% 12.86/13.24 W := W
% 12.86/13.24 V0 := Z
% 12.86/13.24 V1 := T
% 12.86/13.24 end
% 12.86/13.24 substitution1:
% 12.86/13.24 X := X
% 12.86/13.24 Y := Y
% 12.86/13.24 Z := U
% 12.86/13.24 T := W
% 12.86/13.24 U := Z
% 12.86/13.24 W := T
% 12.86/13.24 end
% 12.86/13.24
% 12.86/13.24 subsumption: (851) {G1,W14,D2,L2,V6,M2} R(39,18) { ! para( X, Y, Z, T ),
% 12.86/13.24 eqangle( U, W, X, Y, U, W, Z, T ) }.
% 12.86/13.24 parent0: (56891) {G1,W14,D2,L2,V6,M2} { eqangle( Z, T, X, Y, Z, T, U, W )
% 12.86/13.24 , ! para( X, Y, U, W ) }.
% 12.86/13.24 substitution0:
% 12.86/13.24 X := X
% 12.86/13.24 Y := Y
% 12.86/13.24 Z := U
% 12.86/13.24 T := W
% 12.86/13.24 U := Z
% 12.86/13.24 W := T
% 12.86/13.24 end
% 12.86/13.24 permutation0:
% 12.86/13.24 0 ==> 1
% 12.86/13.24 1 ==> 0
% 12.86/13.24 end
% 12.86/13.24
% 12.86/13.24 resolution: (56892) {G1,W4,D2,L1,V0,M1} { coll( skol25, skol25, skol26 )
% 12.86/13.24 }.
% 12.86/13.24 parent0[0]: (0) {G0,W8,D2,L2,V3,M2} I { ! coll( X, Y, Z ), coll( X, Z, Y )
% 12.86/13.24 }.
% 12.86/13.24 parent1[0]: (699) {G5,W4,D2,L1,V0,M1} R(220,270) { coll( skol25, skol26,
% 12.86/13.24 skol25 ) }.
% 12.86/13.24 substitution0:
% 12.86/13.24 X := skol25
% 12.86/13.24 Y := skol26
% 12.86/13.24 Z := skol25
% 12.86/13.24 end
% 12.86/13.24 substitution1:
% 12.86/13.24 end
% 12.86/13.24
% 12.86/13.24 subsumption: (882) {G6,W4,D2,L1,V0,M1} R(699,0) { coll( skol25, skol25,
% 12.86/13.24 skol26 ) }.
% 12.86/13.24 parent0: (56892) {G1,W4,D2,L1,V0,M1} { coll( skol25, skol25, skol26 ) }.
% 12.86/13.24 substitution0:
% 12.86/13.24 end
% 12.86/13.24 permutation0:
% 12.86/13.24 0 ==> 0
% 12.86/13.24 end
% 12.86/13.24
% 12.86/13.24 resolution: (56893) {G1,W14,D2,L2,V1,M2} { ! eqangle( skol25, X, skol25,
% 12.86/13.24 skol26, skol25, X, skol25, skol26 ), cyclic( X, skol26, skol25, skol25 )
% 12.86/13.24 }.
% 12.86/13.24 parent0[1]: (42) {G0,W18,D2,L3,V4,M3} I { ! eqangle( Z, X, Z, Y, T, X, T, Y
% 12.86/13.24 ), ! coll( Z, T, Y ), cyclic( X, Y, Z, T ) }.
% 12.86/13.24 parent1[0]: (882) {G6,W4,D2,L1,V0,M1} R(699,0) { coll( skol25, skol25,
% 12.86/13.24 skol26 ) }.
% 12.86/13.24 substitution0:
% 12.86/13.24 X := X
% 12.86/13.24 Y := skol26
% 12.86/13.24 Z := skol25
% 12.86/13.24 T := skol25
% 12.86/13.24 end
% 12.86/13.24 substitution1:
% 12.86/13.24 end
% 12.86/13.24
% 12.86/13.24 subsumption: (933) {G7,W14,D2,L2,V1,M2} R(42,882) { ! eqangle( skol25, X,
% 12.86/13.24 skol25, skol26, skol25, X, skol25, skol26 ), cyclic( X, skol26, skol25,
% 12.86/13.24 skol25 ) }.
% 12.86/13.24 parent0: (56893) {G1,W14,D2,L2,V1,M2} { ! eqangle( skol25, X, skol25,
% 12.86/13.24 skol26, skol25, X, skol25, skol26 ), cyclic( X, skol26, skol25, skol25 )
% 12.86/13.24 }.
% 12.86/13.24 substitution0:
% 12.86/13.24 X := X
% 12.86/13.24 end
% 12.86/13.24 permutation0:
% 12.86/13.24 0 ==> 0
% 12.86/13.24 1 ==> 1
% 12.86/13.24 end
% 12.86/13.24
% 12.86/13.24 resolution: (56894) {G3,W5,D2,L1,V0,M1} { para( skol25, skol26, skol25,
% 12.86/13.24 skol26 ) }.
% 12.86/13.24 parent0[0]: (307) {G2,W10,D2,L2,V4,M2} F(299) { ! perp( X, Y, Z, T ), para
% 12.86/13.24 ( X, Y, X, Y ) }.
% 12.86/13.24 parent1[0]: (565) {G2,W5,D2,L1,V0,M1} R(560,6) { perp( skol25, skol26,
% 12.86/13.24 skol27, skol30 ) }.
% 12.86/13.24 substitution0:
% 12.86/13.24 X := skol25
% 12.86/13.24 Y := skol26
% 12.86/13.24 Z := skol27
% 12.86/13.24 T := skol30
% 12.86/13.24 end
% 12.86/13.24 substitution1:
% 12.86/13.24 end
% 12.86/13.24
% 12.86/13.24 subsumption: (21149) {G3,W5,D2,L1,V0,M1} R(307,565) { para( skol25, skol26
% 12.86/13.24 , skol25, skol26 ) }.
% 12.86/13.24 parent0: (56894) {G3,W5,D2,L1,V0,M1} { para( skol25, skol26, skol25,
% 12.86/13.24 skol26 ) }.
% 12.86/13.24 substitution0:
% 12.86/13.24 end
% 12.86/13.24 permutation0:
% 12.86/13.24 0 ==> 0
% 12.86/13.24 end
% 12.86/13.24
% 12.86/13.24 resolution: (56895) {G2,W9,D2,L1,V2,M1} { eqangle( X, Y, skol25, skol26, X
% 12.86/13.24 , Y, skol25, skol26 ) }.
% 12.86/13.24 parent0[0]: (851) {G1,W14,D2,L2,V6,M2} R(39,18) { ! para( X, Y, Z, T ),
% 12.86/13.24 eqangle( U, W, X, Y, U, W, Z, T ) }.
% 12.86/13.24 parent1[0]: (21149) {G3,W5,D2,L1,V0,M1} R(307,565) { para( skol25, skol26,
% 12.86/13.24 skol25, skol26 ) }.
% 12.86/13.24 substitution0:
% 12.86/13.24 X := skol25
% 12.86/13.24 Y := skol26
% 12.86/13.24 Z := skol25
% 12.86/13.24 T := skol26
% 12.86/13.24 U := X
% 12.86/13.24 W := Y
% 12.86/13.24 end
% 12.86/13.24 substitution1:
% 12.86/13.24 end
% 12.86/13.24
% 12.86/13.24 subsumption: (53971) {G4,W9,D2,L1,V2,M1} R(851,21149) { eqangle( X, Y,
% 12.86/13.24 skol25, skol26, X, Y, skol25, skol26 ) }.
% 12.86/13.24 parent0: (56895) {G2,W9,D2,L1,V2,M1} { eqangle( X, Y, skol25, skol26, X, Y
% 12.86/13.24 , skol25, skol26 ) }.
% 12.86/13.24 substitution0:
% 12.86/13.24 X := X
% 12.86/13.24 Y := Y
% 12.86/13.24 end
% 12.86/13.24 permutation0:
% 12.86/13.24 0 ==> 0
% 12.86/13.24 end
% 12.86/13.24
% 12.86/13.24 resolution: (56896) {G5,W5,D2,L1,V1,M1} { cyclic( X, skol26, skol25,
% 12.86/13.24 skol25 ) }.
% 12.86/13.24 parent0[0]: (933) {G7,W14,D2,L2,V1,M2} R(42,882) { ! eqangle( skol25, X,
% 12.86/13.24 skol25, skol26, skol25, X, skol25, skol26 ), cyclic( X, skol26, skol25,
% 12.86/13.24 skol25 ) }.
% 12.86/13.24 parent1[0]: (53971) {G4,W9,D2,L1,V2,M1} R(851,21149) { eqangle( X, Y,
% 12.86/13.24 skol25, skol26, X, Y, skol25, skol26 ) }.
% 12.86/13.24 substitution0:
% 12.86/13.24 X := X
% 12.86/13.24 end
% 12.86/13.24 substitution1:
% 12.86/13.24 X := skol25
% 12.86/13.24 Y := X
% 12.86/13.24 end
% 12.86/13.24
% 12.86/13.24 subsumption: (56385) {G8,W5,D2,L1,V1,M1} S(933);r(53971) { cyclic( X,
% 12.86/13.24 skol26, skol25, skol25 ) }.
% 12.86/13.24 parent0: (56896) {G5,W5,D2,L1,V1,M1} { cyclic( X, skol26, skol25, skol25 )
% 12.86/13.24 }.
% 12.86/13.24 substitution0:
% 12.86/13.24 X := X
% 12.86/13.24 end
% 12.86/13.24 permutation0:
% 12.86/13.24 0 ==> 0
% 12.86/13.24 end
% 12.86/13.24
% 12.86/13.24 resolution: (56897) {G2,W5,D2,L1,V1,M1} { cyclic( skol26, X, skol25,
% 12.86/13.24 skol25 ) }.
% 12.86/13.24 parent0[1]: (412) {G1,W10,D2,L2,V4,M2} R(15,13) { cyclic( X, Y, Z, T ), !
% 12.86/13.24 cyclic( Y, X, T, Z ) }.
% 12.86/13.24 parent1[0]: (56385) {G8,W5,D2,L1,V1,M1} S(933);r(53971) { cyclic( X, skol26
% 12.86/13.24 , skol25, skol25 ) }.
% 12.86/13.24 substitution0:
% 12.86/13.24 X := skol26
% 12.86/13.24 Y := X
% 12.86/13.24 Z := skol25
% 12.86/13.24 T := skol25
% 12.86/13.24 end
% 12.86/13.24 substitution1:
% 12.86/13.24 X := X
% 12.86/13.24 end
% 12.86/13.24
% 12.86/13.24 subsumption: (56406) {G9,W5,D2,L1,V1,M1} R(56385,412) { cyclic( skol26, X,
% 12.86/13.24 skol25, skol25 ) }.
% 12.86/13.24 parent0: (56897) {G2,W5,D2,L1,V1,M1} { cyclic( skol26, X, skol25, skol25 )
% 12.86/13.24 }.
% 12.86/13.24 substitution0:
% 12.86/13.24 X := X
% 12.86/13.24 end
% 12.86/13.24 permutation0:
% 12.86/13.24 0 ==> 0
% 12.86/13.24 end
% 12.86/13.24
% 12.86/13.24 resolution: (56898) {G3,W5,D2,L1,V1,M1} { cyclic( skol25, X, skol25,
% 12.86/13.24 skol25 ) }.
% 12.86/13.24 parent0[0]: (445) {G2,W10,D2,L2,V4,M2} F(433) { ! cyclic( X, Y, Z, T ),
% 12.86/13.24 cyclic( Z, Y, T, T ) }.
% 12.86/13.24 parent1[0]: (56406) {G9,W5,D2,L1,V1,M1} R(56385,412) { cyclic( skol26, X,
% 12.86/13.24 skol25, skol25 ) }.
% 12.86/13.24 substitution0:
% 12.86/13.24 X := skol26
% 12.86/13.24 Y := X
% 12.86/13.24 Z := skol25
% 12.86/13.24 T := skol25
% 12.86/13.24 end
% 12.86/13.24 substitution1:
% 12.86/13.24 X := X
% 12.86/13.24 end
% 12.86/13.24
% 12.86/13.24 subsumption: (56418) {G10,W5,D2,L1,V1,M1} R(56406,445) { cyclic( skol25, X
% 12.86/13.24 , skol25, skol25 ) }.
% 12.86/13.24 parent0: (56898) {G3,W5,D2,L1,V1,M1} { cyclic( skol25, X, skol25, skol25 )
% 12.86/13.24 }.
% 12.86/13.24 substitution0:
% 12.86/13.24 X := X
% 12.86/13.24 end
% 12.86/13.24 permutation0:
% 12.86/13.24 0 ==> 0
% 12.86/13.24 end
% 12.86/13.24
% 12.86/13.24 resolution: (56899) {G2,W5,D2,L1,V1,M1} { cyclic( skol25, skol25, X,
% 12.86/13.24 skol25 ) }.
% 12.86/13.24 parent0[1]: (409) {G1,W10,D2,L2,V4,M2} R(15,14) { cyclic( X, Y, Z, T ), !
% 12.86/13.24 cyclic( Y, Z, X, T ) }.
% 12.86/13.24 parent1[0]: (56418) {G10,W5,D2,L1,V1,M1} R(56406,445) { cyclic( skol25, X,
% 12.86/13.24 skol25, skol25 ) }.
% 12.86/13.24 substitution0:
% 12.86/13.24 X := skol25
% 12.86/13.24 Y := skol25
% 12.86/13.24 Z := X
% 12.86/13.24 T := skol25
% 12.86/13.24 end
% 12.86/13.24 substitution1:
% 12.86/13.24 X := X
% 12.86/13.24 end
% 12.86/13.24
% 12.86/13.24 subsumption: (56440) {G11,W5,D2,L1,V1,M1} R(56418,409) { cyclic( skol25,
% 12.86/13.24 skol25, X, skol25 ) }.
% 12.86/13.24 parent0: (56899) {G2,W5,D2,L1,V1,M1} { cyclic( skol25, skol25, X, skol25 )
% 12.86/13.24 }.
% 12.86/13.24 substitution0:
% 12.86/13.24 X := X
% 12.86/13.24 end
% 12.86/13.24 permutation0:
% 12.86/13.24 0 ==> 0
% 12.86/13.24 end
% 12.86/13.24
% 12.86/13.24 resolution: (56900) {G2,W5,D2,L1,V1,M1} { cyclic( skol25, skol25, skol25,
% 12.86/13.24 X ) }.
% 12.86/13.24 parent0[0]: (401) {G1,W10,D2,L2,V4,M2} R(14,13) { ! cyclic( X, Y, Z, T ),
% 12.86/13.24 cyclic( X, Z, T, Y ) }.
% 12.86/13.24 parent1[0]: (56418) {G10,W5,D2,L1,V1,M1} R(56406,445) { cyclic( skol25, X,
% 12.86/13.24 skol25, skol25 ) }.
% 12.86/13.24 substitution0:
% 12.86/13.24 X := skol25
% 12.86/13.24 Y := X
% 12.86/13.24 Z := skol25
% 12.86/13.24 T := skol25
% 12.86/13.24 end
% 12.86/13.24 substitution1:
% 12.86/13.24 X := X
% 12.86/13.24 end
% 12.86/13.24
% 12.86/13.24 subsumption: (56441) {G11,W5,D2,L1,V1,M1} R(56418,401) { cyclic( skol25,
% 12.86/13.24 skol25, skol25, X ) }.
% 12.86/13.24 parent0: (56900) {G2,W5,D2,L1,V1,M1} { cyclic( skol25, skol25, skol25, X )
% 12.86/13.24 }.
% 12.86/13.24 substitution0:
% 12.86/13.24 X := X
% 12.86/13.24 end
% 12.86/13.24 permutation0:
% 12.86/13.24 0 ==> 0
% 12.86/13.24 end
% 12.86/13.24
% 12.86/13.24 resolution: (56902) {G2,W10,D2,L2,V2,M2} { ! cyclic( skol25, skol25,
% 12.86/13.24 skol25, X ), cyclic( skol25, skol25, X, Y ) }.
% 12.86/13.24 parent0[2]: (441) {G1,W15,D2,L3,V5,M3} R(16,13) { ! cyclic( X, Y, Z, T ),
% 12.86/13.24 cyclic( Y, Z, T, U ), ! cyclic( X, Y, U, Z ) }.
% 12.86/13.24 parent1[0]: (56440) {G11,W5,D2,L1,V1,M1} R(56418,409) { cyclic( skol25,
% 12.86/13.24 skol25, X, skol25 ) }.
% 12.86/13.24 substitution0:
% 12.86/13.24 X := skol25
% 12.86/13.24 Y := skol25
% 12.86/13.24 Z := skol25
% 12.86/13.24 T := X
% 12.86/13.24 U := Y
% 12.86/13.24 end
% 12.86/13.24 substitution1:
% 12.86/13.24 X := Y
% 12.86/13.24 end
% 12.86/13.24
% 12.86/13.24 resolution: (56903) {G3,W5,D2,L1,V2,M1} { cyclic( skol25, skol25, X, Y )
% 12.86/13.24 }.
% 12.86/13.24 parent0[0]: (56902) {G2,W10,D2,L2,V2,M2} { ! cyclic( skol25, skol25,
% 12.86/13.24 skol25, X ), cyclic( skol25, skol25, X, Y ) }.
% 12.86/13.24 parent1[0]: (56441) {G11,W5,D2,L1,V1,M1} R(56418,401) { cyclic( skol25,
% 12.86/13.24 skol25, skol25, X ) }.
% 12.86/13.24 substitution0:
% 12.86/13.24 X := X
% 12.86/13.24 Y := Y
% 12.86/13.24 end
% 12.86/13.24 substitution1:
% 12.86/13.24 X := X
% 12.86/13.24 end
% 12.86/13.24
% 12.86/13.24 subsumption: (56446) {G12,W5,D2,L1,V2,M1} R(56440,441);r(56441) { cyclic(
% 12.86/13.24 skol25, skol25, X, Y ) }.
% 12.86/13.24 parent0: (56903) {G3,W5,D2,L1,V2,M1} { cyclic( skol25, skol25, X, Y ) }.
% 12.86/13.24 substitution0:
% 12.86/13.24 X := X
% 12.86/13.24 Y := Y
% 12.86/13.24 end
% 12.86/13.24 permutation0:
% 12.86/13.24 0 ==> 0
% 12.86/13.24 end
% 12.86/13.24
% 12.86/13.24 resolution: (56904) {G2,W10,D2,L2,V3,M2} { cyclic( skol25, X, Y, Z ), !
% 12.86/13.24 cyclic( skol25, skol25, Z, X ) }.
% 12.86/13.24 parent0[0]: (441) {G1,W15,D2,L3,V5,M3} R(16,13) { ! cyclic( X, Y, Z, T ),
% 12.86/13.24 cyclic( Y, Z, T, U ), ! cyclic( X, Y, U, Z ) }.
% 12.86/13.24 parent1[0]: (56446) {G12,W5,D2,L1,V2,M1} R(56440,441);r(56441) { cyclic(
% 12.86/13.24 skol25, skol25, X, Y ) }.
% 12.86/13.24 substitution0:
% 12.86/13.24 X := skol25
% 12.86/13.24 Y := skol25
% 12.86/13.24 Z := X
% 12.86/13.24 T := Y
% 12.86/13.24 U := Z
% 12.86/13.24 end
% 12.86/13.24 substitution1:
% 12.86/13.24 X := X
% 12.86/13.24 Y := Y
% 12.86/13.24 end
% 12.86/13.24
% 12.86/13.24 resolution: (56906) {G3,W5,D2,L1,V3,M1} { cyclic( skol25, X, Y, Z ) }.
% 12.86/13.24 parent0[1]: (56904) {G2,W10,D2,L2,V3,M2} { cyclic( skol25, X, Y, Z ), !
% 12.86/13.24 cyclic( skol25, skol25, Z, X ) }.
% 12.86/13.24 parent1[0]: (56446) {G12,W5,D2,L1,V2,M1} R(56440,441);r(56441) { cyclic(
% 12.86/13.24 skol25, skol25, X, Y ) }.
% 12.86/13.24 substitution0:
% 12.86/13.24 X := X
% 12.86/13.24 Y := Y
% 12.86/13.24 Z := Z
% 12.86/13.24 end
% 12.86/13.24 substitution1:
% 12.86/13.24 X := Z
% 12.86/13.24 Y := X
% 12.86/13.24 end
% 12.86/13.24
% 12.86/13.24 subsumption: (56473) {G13,W5,D2,L1,V3,M1} R(56446,441);r(56446) { cyclic(
% 12.86/13.24 skol25, X, Y, Z ) }.
% 12.86/13.24 parent0: (56906) {G3,W5,D2,L1,V3,M1} { cyclic( skol25, X, Y, Z ) }.
% 12.86/13.24 substitution0:
% 12.86/13.24 X := X
% 12.86/13.24 Y := Y
% 12.86/13.24 Z := Z
% 12.86/13.24 end
% 12.86/13.24 permutation0:
% 12.86/13.24 0 ==> 0
% 12.86/13.24 end
% 12.86/13.24
% 12.86/13.24 resolution: (56907) {G4,W5,D2,L1,V0,M1} { ! cyclic( skol25, skol23, skol22
% 12.86/13.24 , skol24 ) }.
% 12.86/13.24 parent0[0]: (466) {G3,W10,D2,L2,V1,M2} R(411,16) { ! cyclic( X, skol23,
% 12.86/13.24 skol22, skol20 ), ! cyclic( X, skol23, skol22, skol24 ) }.
% 12.86/13.24 parent1[0]: (56473) {G13,W5,D2,L1,V3,M1} R(56446,441);r(56446) { cyclic(
% 12.86/13.24 skol25, X, Y, Z ) }.
% 12.86/13.24 substitution0:
% 12.86/13.24 X := skol25
% 12.86/13.24 end
% 12.86/13.24 substitution1:
% 12.86/13.24 X := skol23
% 12.86/13.24 Y := skol22
% 12.86/13.24 Z := skol20
% 12.86/13.24 end
% 12.86/13.24
% 12.86/13.24 resolution: (56909) {G5,W0,D0,L0,V0,M0} { }.
% 12.86/13.24 parent0[0]: (56907) {G4,W5,D2,L1,V0,M1} { ! cyclic( skol25, skol23, skol22
% 12.86/13.24 , skol24 ) }.
% 12.86/13.24 parent1[0]: (56473) {G13,W5,D2,L1,V3,M1} R(56446,441);r(56446) { cyclic(
% 12.86/13.24 skol25, X, Y, Z ) }.
% 12.86/13.24 substitution0:
% 12.86/13.24 end
% 12.86/13.24 substitution1:
% 12.86/13.24 X := skol23
% 12.86/13.24 Y := skol22
% 12.86/13.24 Z := skol24
% 12.86/13.24 end
% 12.86/13.24
% 12.86/13.24 subsumption: (56489) {G14,W0,D0,L0,V0,M0} R(56473,466);r(56473) { }.
% 12.86/13.24 parent0: (56909) {G5,W0,D0,L0,V0,M0} { }.
% 12.86/13.24 substitution0:
% 12.86/13.24 end
% 12.86/13.24 permutation0:
% 12.86/13.24 end
% 12.86/13.24
% 12.86/13.24 Proof check complete!
% 12.86/13.24
% 12.86/13.24 Memory use:
% 12.86/13.24
% 12.86/13.24 space for terms: 770758
% 12.86/13.24 space for clauses: 2593808
% 12.86/13.24
% 12.86/13.24
% 12.86/13.24 clauses generated: 350222
% 12.86/13.24 clauses kept: 56490
% 12.86/13.24 clauses selected: 3317
% 12.86/13.24 clauses deleted: 1544
% 12.86/13.24 clauses inuse deleted: 73
% 12.86/13.24
% 12.86/13.24 subsentry: 10041930
% 12.86/13.24 literals s-matched: 5764835
% 12.86/13.24 literals matched: 3000429
% 12.86/13.24 full subsumption: 1184280
% 12.86/13.24
% 12.86/13.24 checksum: 625367072
% 12.86/13.24
% 12.86/13.24
% 12.86/13.24 Bliksem ended
%------------------------------------------------------------------------------