TSTP Solution File: CSR023+1 by Bliksem---1.12
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- Process Solution
%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : CSR023+1 : TPTP v8.1.0. Bugfixed v3.1.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n027.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 : Fri Jul 15 02:00:53 EDT 2022
% Result : Theorem 0.81s 1.21s
% Output : Refutation 0.81s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11 % Problem : CSR023+1 : TPTP v8.1.0. Bugfixed v3.1.0.
% 0.03/0.12 % Command : bliksem %s
% 0.12/0.33 % Computer : n027.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % DateTime : Thu Jun 9 19:30:43 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.39/1.06 *** allocated 10000 integers for termspace/termends
% 0.39/1.06 *** allocated 10000 integers for clauses
% 0.39/1.06 *** allocated 10000 integers for justifications
% 0.39/1.06 Bliksem 1.12
% 0.39/1.06
% 0.39/1.06
% 0.39/1.06 Automatic Strategy Selection
% 0.39/1.06
% 0.39/1.06
% 0.39/1.06 Clauses:
% 0.39/1.06
% 0.39/1.06 { ! stoppedIn( X, Y, Z ), happens( skol1( X, Y, Z ), skol7( X, Y, Z ) ) }.
% 0.39/1.06 { ! stoppedIn( X, Y, Z ), alpha6( X, Y, Z, skol1( X, Y, Z ), skol7( X, Y, Z
% 0.39/1.06 ) ) }.
% 0.39/1.06 { ! happens( T, U ), ! alpha6( X, Y, Z, T, U ), stoppedIn( X, Y, Z ) }.
% 0.39/1.06 { ! alpha6( X, Y, Z, T, U ), less( X, U ) }.
% 0.39/1.06 { ! alpha6( X, Y, Z, T, U ), alpha1( Y, Z, T, U ) }.
% 0.39/1.06 { ! less( X, U ), ! alpha1( Y, Z, T, U ), alpha6( X, Y, Z, T, U ) }.
% 0.39/1.06 { ! alpha1( X, Y, Z, T ), less( T, Y ) }.
% 0.39/1.06 { ! alpha1( X, Y, Z, T ), terminates( Z, X, T ) }.
% 0.39/1.06 { ! less( T, Y ), ! terminates( Z, X, T ), alpha1( X, Y, Z, T ) }.
% 0.39/1.06 { ! startedIn( X, Z, Y ), happens( skol2( X, Y, Z ), skol8( X, Y, Z ) ) }.
% 0.39/1.06 { ! startedIn( X, Z, Y ), alpha7( X, Y, Z, skol2( X, Y, Z ), skol8( X, Y, Z
% 0.39/1.06 ) ) }.
% 0.39/1.06 { ! happens( T, U ), ! alpha7( X, Y, Z, T, U ), startedIn( X, Z, Y ) }.
% 0.39/1.06 { ! alpha7( X, Y, Z, T, U ), less( X, U ) }.
% 0.39/1.06 { ! alpha7( X, Y, Z, T, U ), alpha2( Y, Z, T, U ) }.
% 0.39/1.06 { ! less( X, U ), ! alpha2( Y, Z, T, U ), alpha7( X, Y, Z, T, U ) }.
% 0.39/1.06 { ! alpha2( X, Y, Z, T ), less( T, X ) }.
% 0.39/1.06 { ! alpha2( X, Y, Z, T ), initiates( Z, Y, T ) }.
% 0.39/1.06 { ! less( T, X ), ! initiates( Z, Y, T ), alpha2( X, Y, Z, T ) }.
% 0.39/1.06 { ! happens( T, X ), ! initiates( T, U, X ), ! less( n0, Z ), ! trajectory
% 0.39/1.06 ( U, X, Y, Z ), stoppedIn( X, U, plus( X, Z ) ), holdsAt( Y, plus( X, Z )
% 0.39/1.06 ) }.
% 0.39/1.06 { ! happens( T, X ), ! terminates( T, U, X ), ! less( n0, Y ), !
% 0.39/1.06 antitrajectory( U, X, Z, Y ), startedIn( X, U, plus( X, Y ) ), holdsAt( Z
% 0.39/1.06 , plus( X, Y ) ) }.
% 0.39/1.06 { ! holdsAt( X, Y ), releasedAt( X, plus( Y, n1 ) ), happens( skol3( Z, Y )
% 0.39/1.06 , Y ), holdsAt( X, plus( Y, n1 ) ) }.
% 0.39/1.06 { ! holdsAt( X, Y ), releasedAt( X, plus( Y, n1 ) ), terminates( skol3( X,
% 0.39/1.06 Y ), X, Y ), holdsAt( X, plus( Y, n1 ) ) }.
% 0.39/1.06 { holdsAt( X, Y ), releasedAt( X, plus( Y, n1 ) ), happens( skol4( Z, Y ),
% 0.39/1.06 Y ), ! holdsAt( X, plus( Y, n1 ) ) }.
% 0.39/1.06 { holdsAt( X, Y ), releasedAt( X, plus( Y, n1 ) ), initiates( skol4( X, Y )
% 0.39/1.06 , X, Y ), ! holdsAt( X, plus( Y, n1 ) ) }.
% 0.39/1.06 { ! releasedAt( X, Y ), happens( skol5( Z, Y ), Y ), releasedAt( X, plus( Y
% 0.39/1.06 , n1 ) ) }.
% 0.39/1.06 { ! releasedAt( X, Y ), initiates( skol5( X, Y ), X, Y ), terminates( skol5
% 0.39/1.06 ( X, Y ), X, Y ), releasedAt( X, plus( Y, n1 ) ) }.
% 0.39/1.06 { releasedAt( X, Y ), happens( skol6( Z, Y ), Y ), ! releasedAt( X, plus( Y
% 0.39/1.06 , n1 ) ) }.
% 0.39/1.06 { releasedAt( X, Y ), releases( skol6( X, Y ), X, Y ), ! releasedAt( X,
% 0.39/1.06 plus( Y, n1 ) ) }.
% 0.39/1.06 { ! happens( Z, X ), ! initiates( Z, Y, X ), holdsAt( Y, plus( X, n1 ) ) }
% 0.39/1.06 .
% 0.39/1.06 { ! happens( Z, X ), ! terminates( Z, Y, X ), ! holdsAt( Y, plus( X, n1 ) )
% 0.39/1.06 }.
% 0.39/1.06 { ! happens( Z, X ), ! releases( Z, Y, X ), releasedAt( Y, plus( X, n1 ) )
% 0.39/1.06 }.
% 0.39/1.06 { ! happens( Z, X ), ! initiates( Z, Y, X ), ! releasedAt( Y, plus( X, n1 )
% 0.39/1.06 ) }.
% 0.39/1.06 { ! happens( Z, X ), ! terminates( Z, Y, X ), ! releasedAt( Y, plus( X, n1
% 0.39/1.06 ) ) }.
% 0.39/1.06 { ! initiates( X, Y, Z ), alpha14( X, Y, Z ), alpha17( X, Y, Z ) }.
% 0.39/1.06 { ! alpha14( X, Y, Z ), initiates( X, Y, Z ) }.
% 0.39/1.06 { ! alpha17( X, Y, Z ), initiates( X, Y, Z ) }.
% 0.39/1.06 { ! alpha17( X, Y, Z ), alpha20( X, Y, Z ), alpha23( X, Y, Z ) }.
% 0.39/1.06 { ! alpha20( X, Y, Z ), alpha17( X, Y, Z ) }.
% 0.39/1.06 { ! alpha23( X, Y, Z ), alpha17( X, Y, Z ) }.
% 0.39/1.06 { ! alpha23( X, Y, Z ), X = pull }.
% 0.39/1.06 { ! alpha23( X, Y, Z ), alpha11( Y, Z ) }.
% 0.39/1.06 { ! X = pull, ! alpha11( Y, Z ), alpha23( X, Y, Z ) }.
% 0.39/1.06 { ! alpha20( X, Y, Z ), X = pull }.
% 0.39/1.06 { ! alpha20( X, Y, Z ), alpha8( Y, Z ) }.
% 0.39/1.06 { ! X = pull, ! alpha8( Y, Z ), alpha20( X, Y, Z ) }.
% 0.39/1.06 { ! alpha14( X, Y, Z ), X = push }.
% 0.39/1.06 { ! alpha14( X, Y, Z ), alpha3( Y, Z ) }.
% 0.39/1.06 { ! X = push, ! alpha3( Y, Z ), alpha14( X, Y, Z ) }.
% 0.39/1.06 { ! alpha11( X, Y ), X = spinning }.
% 0.39/1.06 { ! alpha11( X, Y ), happens( push, Y ) }.
% 0.39/1.06 { ! X = spinning, ! happens( push, Y ), alpha11( X, Y ) }.
% 0.39/1.06 { ! alpha8( X, Y ), X = backwards }.
% 0.39/1.06 { ! alpha8( X, Y ), ! happens( push, Y ) }.
% 0.39/1.06 { ! X = backwards, happens( push, Y ), alpha8( X, Y ) }.
% 0.39/1.06 { ! alpha3( X, Y ), X = forwards }.
% 0.39/1.06 { ! alpha3( X, Y ), ! happens( pull, Y ) }.
% 0.39/1.06 { ! X = forwards, happens( pull, Y ), alpha3( X, Y ) }.
% 0.39/1.06 { ! terminates( X, Y, Z ), alpha24( X, Y, Z ), alpha25( X, Y, Z ) }.
% 0.39/1.06 { ! alpha24( X, Y, Z ), terminates( X, Y, Z ) }.
% 0.39/1.06 { ! alpha25( X, Y, Z ), terminates( X, Y, Z ) }.
% 0.39/1.06 { ! alpha25( X, Y, Z ), alpha26( X, Y, Z ), alpha27( X, Y, Z ) }.
% 0.39/1.06 { ! alpha26( X, Y, Z ), alpha25( X, Y, Z ) }.
% 0.39/1.06 { ! alpha27( X, Y, Z ), alpha25( X, Y, Z ) }.
% 0.39/1.06 { ! alpha27( X, Y, Z ), alpha28( X, Y, Z ), alpha29( X, Y, Z ) }.
% 0.39/1.06 { ! alpha28( X, Y, Z ), alpha27( X, Y, Z ) }.
% 0.39/1.06 { ! alpha29( X, Y, Z ), alpha27( X, Y, Z ) }.
% 0.39/1.06 { ! alpha29( X, Y, Z ), alpha30( X, Y, Z ), alpha31( X, Y, Z ) }.
% 0.39/1.06 { ! alpha30( X, Y, Z ), alpha29( X, Y, Z ) }.
% 0.39/1.06 { ! alpha31( X, Y, Z ), alpha29( X, Y, Z ) }.
% 0.39/1.06 { ! alpha31( X, Y, Z ), alpha32( X, Y, Z ), alpha33( X, Y, Z ) }.
% 0.39/1.06 { ! alpha32( X, Y, Z ), alpha31( X, Y, Z ) }.
% 0.39/1.06 { ! alpha33( X, Y, Z ), alpha31( X, Y, Z ) }.
% 0.39/1.06 { ! alpha33( X, Y, Z ), X = pull }.
% 0.39/1.06 { ! alpha33( X, Y, Z ), alpha21( Y, Z ) }.
% 0.39/1.06 { ! X = pull, ! alpha21( Y, Z ), alpha33( X, Y, Z ) }.
% 0.39/1.06 { ! alpha32( X, Y, Z ), X = push }.
% 0.39/1.06 { ! alpha32( X, Y, Z ), alpha18( Y, Z ) }.
% 0.39/1.06 { ! X = push, ! alpha18( Y, Z ), alpha32( X, Y, Z ) }.
% 0.39/1.06 { ! alpha30( X, Y, Z ), X = pull }.
% 0.39/1.06 { ! alpha30( X, Y, Z ), alpha15( Y, Z ) }.
% 0.39/1.06 { ! X = pull, ! alpha15( Y, Z ), alpha30( X, Y, Z ) }.
% 0.39/1.06 { ! alpha28( X, Y, Z ), X = pull }.
% 0.39/1.06 { ! alpha28( X, Y, Z ), alpha12( Y, Z ) }.
% 0.39/1.06 { ! X = pull, ! alpha12( Y, Z ), alpha28( X, Y, Z ) }.
% 0.39/1.06 { ! alpha26( X, Y, Z ), X = pull }.
% 0.39/1.06 { ! alpha26( X, Y, Z ), alpha9( Y, Z ) }.
% 0.39/1.06 { ! X = pull, ! alpha9( Y, Z ), alpha26( X, Y, Z ) }.
% 0.39/1.06 { ! alpha24( X, Y, Z ), X = push }.
% 0.39/1.06 { ! alpha24( X, Y, Z ), alpha4( Y, Z ) }.
% 0.39/1.06 { ! X = push, ! alpha4( Y, Z ), alpha24( X, Y, Z ) }.
% 0.39/1.06 { ! alpha21( X, Y ), X = spinning }.
% 0.39/1.06 { ! alpha21( X, Y ), ! happens( push, Y ) }.
% 0.39/1.06 { ! X = spinning, happens( push, Y ), alpha21( X, Y ) }.
% 0.39/1.06 { ! alpha18( X, Y ), X = spinning }.
% 0.39/1.06 { ! alpha18( X, Y ), ! happens( pull, Y ) }.
% 0.39/1.06 { ! X = spinning, happens( pull, Y ), alpha18( X, Y ) }.
% 0.39/1.06 { ! alpha15( X, Y ), X = backwards }.
% 0.39/1.06 { ! alpha15( X, Y ), happens( push, Y ) }.
% 0.39/1.06 { ! X = backwards, ! happens( push, Y ), alpha15( X, Y ) }.
% 0.39/1.06 { ! alpha12( X, Y ), X = forwards }.
% 0.39/1.06 { ! alpha12( X, Y ), happens( push, Y ) }.
% 0.39/1.06 { ! X = forwards, ! happens( push, Y ), alpha12( X, Y ) }.
% 0.39/1.06 { ! alpha9( X, Y ), X = forwards }.
% 0.39/1.06 { ! alpha9( X, Y ), ! happens( push, Y ) }.
% 0.39/1.06 { ! X = forwards, happens( push, Y ), alpha9( X, Y ) }.
% 0.39/1.06 { ! alpha4( X, Y ), X = backwards }.
% 0.39/1.06 { ! alpha4( X, Y ), ! happens( pull, Y ) }.
% 0.39/1.06 { ! X = backwards, happens( pull, Y ), alpha4( X, Y ) }.
% 0.39/1.06 { ! releases( X, Y, Z ) }.
% 0.39/1.06 { ! happens( X, Y ), alpha5( X, Y ), alpha10( X, Y ) }.
% 0.39/1.06 { ! alpha5( X, Y ), happens( X, Y ) }.
% 0.39/1.06 { ! alpha10( X, Y ), happens( X, Y ) }.
% 0.39/1.06 { ! alpha10( X, Y ), alpha13( X, Y ), alpha16( X, Y ) }.
% 0.39/1.06 { ! alpha13( X, Y ), alpha10( X, Y ) }.
% 0.39/1.06 { ! alpha16( X, Y ), alpha10( X, Y ) }.
% 0.39/1.06 { ! alpha16( X, Y ), alpha19( X, Y ), alpha22( X, Y ) }.
% 0.39/1.06 { ! alpha19( X, Y ), alpha16( X, Y ) }.
% 0.39/1.06 { ! alpha22( X, Y ), alpha16( X, Y ) }.
% 0.39/1.06 { ! alpha22( X, Y ), X = push }.
% 0.39/1.06 { ! alpha22( X, Y ), Y = n2 }.
% 0.39/1.06 { ! X = push, ! Y = n2, alpha22( X, Y ) }.
% 0.39/1.06 { ! alpha19( X, Y ), X = pull }.
% 0.39/1.06 { ! alpha19( X, Y ), Y = n2 }.
% 0.39/1.06 { ! X = pull, ! Y = n2, alpha19( X, Y ) }.
% 0.39/1.06 { ! alpha13( X, Y ), X = pull }.
% 0.39/1.06 { ! alpha13( X, Y ), Y = n1 }.
% 0.39/1.06 { ! X = pull, ! Y = n1, alpha13( X, Y ) }.
% 0.39/1.06 { ! alpha5( X, Y ), X = push }.
% 0.39/1.06 { ! alpha5( X, Y ), Y = n0 }.
% 0.39/1.06 { ! X = push, ! Y = n0, alpha5( X, Y ) }.
% 0.39/1.06 { ! push = pull }.
% 0.39/1.06 { ! forwards = backwards }.
% 0.39/1.06 { ! forwards = spinning }.
% 0.39/1.06 { ! spinning = backwards }.
% 0.39/1.06 { plus( n0, n0 ) = n0 }.
% 0.39/1.06 { plus( n0, n1 ) = n1 }.
% 0.39/1.06 { plus( n0, n2 ) = n2 }.
% 0.39/1.06 { plus( n0, n3 ) = n3 }.
% 0.39/1.06 { plus( n1, n1 ) = n2 }.
% 0.39/1.06 { plus( n1, n2 ) = n3 }.
% 0.39/1.06 { plus( n1, n3 ) = n4 }.
% 0.39/1.06 { plus( n2, n2 ) = n4 }.
% 0.39/1.06 { plus( n2, n3 ) = n5 }.
% 0.39/1.06 { plus( n3, n3 ) = n6 }.
% 0.39/1.06 { plus( X, Y ) = plus( Y, X ) }.
% 0.39/1.06 { ! less_or_equal( X, Y ), less( X, Y ), X = Y }.
% 0.39/1.06 { ! less( X, Y ), less_or_equal( X, Y ) }.
% 0.39/1.06 { ! X = Y, less_or_equal( X, Y ) }.
% 0.39/1.06 { ! less( X, n0 ) }.
% 0.39/1.06 { ! less( X, n1 ), less_or_equal( X, n0 ) }.
% 0.39/1.06 { ! less_or_equal( X, n0 ), less( X, n1 ) }.
% 0.39/1.06 { ! less( X, n2 ), less_or_equal( X, n1 ) }.
% 0.39/1.06 { ! less_or_equal( X, n1 ), less( X, n2 ) }.
% 0.39/1.06 { ! less( X, n3 ), less_or_equal( X, n2 ) }.
% 0.39/1.06 { ! less_or_equal( X, n2 ), less( X, n3 ) }.
% 0.39/1.06 { ! less( X, n4 ), less_or_equal( X, n3 ) }.
% 0.81/1.21 { ! less_or_equal( X, n3 ), less( X, n4 ) }.
% 0.81/1.21 { ! less( X, n5 ), less_or_equal( X, n4 ) }.
% 0.81/1.21 { ! less_or_equal( X, n4 ), less( X, n5 ) }.
% 0.81/1.21 { ! less( X, n6 ), less_or_equal( X, n5 ) }.
% 0.81/1.21 { ! less_or_equal( X, n5 ), less( X, n6 ) }.
% 0.81/1.21 { ! less( X, n7 ), less_or_equal( X, n6 ) }.
% 0.81/1.21 { ! less_or_equal( X, n6 ), less( X, n7 ) }.
% 0.81/1.21 { ! less( X, n8 ), less_or_equal( X, n7 ) }.
% 0.81/1.21 { ! less_or_equal( X, n7 ), less( X, n8 ) }.
% 0.81/1.21 { ! less( X, n9 ), less_or_equal( X, n8 ) }.
% 0.81/1.21 { ! less_or_equal( X, n8 ), less( X, n9 ) }.
% 0.81/1.21 { ! less( X, Y ), ! less( Y, X ) }.
% 0.81/1.21 { ! less( X, Y ), ! Y = X }.
% 0.81/1.21 { less( Y, X ), Y = X, less( X, Y ) }.
% 0.81/1.21 { ! holdsAt( forwards, n0 ) }.
% 0.81/1.21 { ! holdsAt( backwards, n0 ) }.
% 0.81/1.21 { ! holdsAt( spinning, n0 ) }.
% 0.81/1.21 { ! releasedAt( X, Y ) }.
% 0.81/1.21 { ! holdsAt( spinning, n3 ) }.
% 0.81/1.21
% 0.81/1.21 percentage equality = 0.180203, percentage horn = 0.840000
% 0.81/1.21 This is a problem with some equality
% 0.81/1.21
% 0.81/1.21
% 0.81/1.21
% 0.81/1.21 Options Used:
% 0.81/1.21
% 0.81/1.21 useres = 1
% 0.81/1.21 useparamod = 1
% 0.81/1.21 useeqrefl = 1
% 0.81/1.21 useeqfact = 1
% 0.81/1.21 usefactor = 1
% 0.81/1.21 usesimpsplitting = 0
% 0.81/1.21 usesimpdemod = 5
% 0.81/1.21 usesimpres = 3
% 0.81/1.21
% 0.81/1.21 resimpinuse = 1000
% 0.81/1.21 resimpclauses = 20000
% 0.81/1.21 substype = eqrewr
% 0.81/1.21 backwardsubs = 1
% 0.81/1.21 selectoldest = 5
% 0.81/1.21
% 0.81/1.21 litorderings [0] = split
% 0.81/1.21 litorderings [1] = extend the termordering, first sorting on arguments
% 0.81/1.21
% 0.81/1.21 termordering = kbo
% 0.81/1.21
% 0.81/1.21 litapriori = 0
% 0.81/1.21 termapriori = 1
% 0.81/1.21 litaposteriori = 0
% 0.81/1.21 termaposteriori = 0
% 0.81/1.21 demodaposteriori = 0
% 0.81/1.21 ordereqreflfact = 0
% 0.81/1.21
% 0.81/1.21 litselect = negord
% 0.81/1.21
% 0.81/1.21 maxweight = 15
% 0.81/1.21 maxdepth = 30000
% 0.81/1.21 maxlength = 115
% 0.81/1.21 maxnrvars = 195
% 0.81/1.21 excuselevel = 1
% 0.81/1.21 increasemaxweight = 1
% 0.81/1.21
% 0.81/1.21 maxselected = 10000000
% 0.81/1.21 maxnrclauses = 10000000
% 0.81/1.21
% 0.81/1.21 showgenerated = 0
% 0.81/1.21 showkept = 0
% 0.81/1.21 showselected = 0
% 0.81/1.21 showdeleted = 0
% 0.81/1.21 showresimp = 1
% 0.81/1.21 showstatus = 2000
% 0.81/1.21
% 0.81/1.21 prologoutput = 0
% 0.81/1.21 nrgoals = 5000000
% 0.81/1.21 totalproof = 1
% 0.81/1.21
% 0.81/1.21 Symbols occurring in the translation:
% 0.81/1.21
% 0.81/1.21 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 0.81/1.21 . [1, 2] (w:1, o:36, a:1, s:1, b:0),
% 0.81/1.21 ! [4, 1] (w:0, o:31, a:1, s:1, b:0),
% 0.81/1.21 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.81/1.21 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.81/1.21 stoppedIn [38, 3] (w:1, o:86, a:1, s:1, b:0),
% 0.81/1.21 happens [41, 2] (w:1, o:60, a:1, s:1, b:0),
% 0.81/1.21 less [42, 2] (w:1, o:61, a:1, s:1, b:0),
% 0.81/1.21 terminates [43, 3] (w:1, o:92, a:1, s:1, b:0),
% 0.81/1.21 startedIn [44, 3] (w:1, o:87, a:1, s:1, b:0),
% 0.81/1.21 initiates [45, 3] (w:1, o:93, a:1, s:1, b:0),
% 0.81/1.21 n0 [48, 0] (w:1, o:14, a:1, s:1, b:0),
% 0.81/1.21 trajectory [49, 4] (w:1, o:108, a:1, s:1, b:0),
% 0.81/1.21 plus [50, 2] (w:1, o:62, a:1, s:1, b:0),
% 0.81/1.21 holdsAt [51, 2] (w:1, o:63, a:1, s:1, b:0),
% 0.81/1.21 antitrajectory [53, 4] (w:1, o:109, a:1, s:1, b:0),
% 0.81/1.21 n1 [54, 0] (w:1, o:15, a:1, s:1, b:0),
% 0.81/1.21 releasedAt [55, 2] (w:1, o:64, a:1, s:1, b:0),
% 0.81/1.21 releases [56, 3] (w:1, o:85, a:1, s:1, b:0),
% 0.81/1.21 push [57, 0] (w:1, o:16, a:1, s:1, b:0),
% 0.81/1.21 forwards [58, 0] (w:1, o:17, a:1, s:1, b:0),
% 0.81/1.21 pull [59, 0] (w:1, o:18, a:1, s:1, b:0),
% 0.81/1.21 backwards [60, 0] (w:1, o:19, a:1, s:1, b:0),
% 0.81/1.21 spinning [61, 0] (w:1, o:20, a:1, s:1, b:0),
% 0.81/1.21 n2 [62, 0] (w:1, o:21, a:1, s:1, b:0),
% 0.81/1.21 n3 [63, 0] (w:1, o:22, a:1, s:1, b:0),
% 0.81/1.21 n4 [64, 0] (w:1, o:23, a:1, s:1, b:0),
% 0.81/1.21 n5 [65, 0] (w:1, o:24, a:1, s:1, b:0),
% 0.81/1.21 n6 [66, 0] (w:1, o:25, a:1, s:1, b:0),
% 0.81/1.21 less_or_equal [69, 2] (w:1, o:65, a:1, s:1, b:0),
% 0.81/1.21 n7 [70, 0] (w:1, o:28, a:1, s:1, b:0),
% 0.81/1.21 n8 [71, 0] (w:1, o:29, a:1, s:1, b:0),
% 0.81/1.21 n9 [72, 0] (w:1, o:30, a:1, s:1, b:0),
% 0.81/1.21 alpha1 [73, 4] (w:1, o:110, a:1, s:1, b:1),
% 0.81/1.21 alpha2 [74, 4] (w:1, o:111, a:1, s:1, b:1),
% 0.81/1.21 alpha3 [75, 2] (w:1, o:68, a:1, s:1, b:1),
% 0.81/1.21 alpha4 [76, 2] (w:1, o:69, a:1, s:1, b:1),
% 0.81/1.21 alpha5 [77, 2] (w:1, o:70, a:1, s:1, b:1),
% 0.81/1.21 alpha6 [78, 5] (w:1, o:112, a:1, s:1, b:1),
% 0.81/1.21 alpha7 [79, 5] (w:1, o:113, a:1, s:1, b:1),
% 0.81/1.21 alpha8 [80, 2] (w:1, o:71, a:1, s:1, b:1),
% 0.81/1.21 alpha9 [81, 2] (w:1, o:72, a:1, s:1, b:1),
% 0.81/1.21 alpha10 [82, 2] (w:1, o:73, a:1, s:1, b:1),
% 0.81/1.21 alpha11 [83, 2] (w:1, o:74, a:1, s:1, b:1),
% 0.81/1.21 alpha12 [84, 2] (w:1, o:75, a:1, s:1, b:1),
% 0.81/1.21 alpha13 [85, 2] (w:1, o:76, a:1, s:1, b:1),
% 0.81/1.21 alpha14 [86, 3] (w:1, o:94, a:1, s:1, b:1),
% 0.81/1.21 alpha15 [87, 2] (w:1, o:77, a:1, s:1, b:1),
% 0.81/1.21 alpha16 [88, 2] (w:1, o:78, a:1, s:1, b:1),
% 0.81/1.21 alpha17 [89, 3] (w:1, o:95, a:1, s:1, b:1),
% 0.81/1.21 alpha18 [90, 2] (w:1, o:79, a:1, s:1, b:1),
% 0.81/1.21 alpha19 [91, 2] (w:1, o:80, a:1, s:1, b:1),
% 0.81/1.21 alpha20 [92, 3] (w:1, o:96, a:1, s:1, b:1),
% 0.81/1.21 alpha21 [93, 2] (w:1, o:66, a:1, s:1, b:1),
% 0.81/1.21 alpha22 [94, 2] (w:1, o:67, a:1, s:1, b:1),
% 0.81/1.21 alpha23 [95, 3] (w:1, o:97, a:1, s:1, b:1),
% 0.81/1.21 alpha24 [96, 3] (w:1, o:98, a:1, s:1, b:1),
% 0.81/1.21 alpha25 [97, 3] (w:1, o:99, a:1, s:1, b:1),
% 0.81/1.21 alpha26 [98, 3] (w:1, o:100, a:1, s:1, b:1),
% 0.81/1.21 alpha27 [99, 3] (w:1, o:101, a:1, s:1, b:1),
% 0.81/1.21 alpha28 [100, 3] (w:1, o:102, a:1, s:1, b:1),
% 0.81/1.21 alpha29 [101, 3] (w:1, o:103, a:1, s:1, b:1),
% 0.81/1.21 alpha30 [102, 3] (w:1, o:104, a:1, s:1, b:1),
% 0.81/1.21 alpha31 [103, 3] (w:1, o:105, a:1, s:1, b:1),
% 0.81/1.21 alpha32 [104, 3] (w:1, o:106, a:1, s:1, b:1),
% 0.81/1.21 alpha33 [105, 3] (w:1, o:107, a:1, s:1, b:1),
% 0.81/1.21 skol1 [106, 3] (w:1, o:88, a:1, s:1, b:1),
% 0.81/1.21 skol2 [107, 3] (w:1, o:89, a:1, s:1, b:1),
% 0.81/1.21 skol3 [108, 2] (w:1, o:81, a:1, s:1, b:1),
% 0.81/1.21 skol4 [109, 2] (w:1, o:82, a:1, s:1, b:1),
% 0.81/1.21 skol5 [110, 2] (w:1, o:83, a:1, s:1, b:1),
% 0.81/1.21 skol6 [111, 2] (w:1, o:84, a:1, s:1, b:1),
% 0.81/1.21 skol7 [112, 3] (w:1, o:90, a:1, s:1, b:1),
% 0.81/1.21 skol8 [113, 3] (w:1, o:91, a:1, s:1, b:1).
% 0.81/1.21
% 0.81/1.21
% 0.81/1.21 Starting Search:
% 0.81/1.21
% 0.81/1.21 *** allocated 15000 integers for clauses
% 0.81/1.21 *** allocated 22500 integers for clauses
% 0.81/1.21 *** allocated 33750 integers for clauses
% 0.81/1.21 *** allocated 15000 integers for termspace/termends
% 0.81/1.21 *** allocated 50625 integers for clauses
% 0.81/1.21 Resimplifying inuse:
% 0.81/1.21 Done
% 0.81/1.21
% 0.81/1.21 *** allocated 22500 integers for termspace/termends
% 0.81/1.21 *** allocated 75937 integers for clauses
% 0.81/1.21 *** allocated 33750 integers for termspace/termends
% 0.81/1.21 *** allocated 113905 integers for clauses
% 0.81/1.21
% 0.81/1.21 Intermediate Status:
% 0.81/1.21 Generated: 2942
% 0.81/1.21 Kept: 2033
% 0.81/1.21 Inuse: 208
% 0.81/1.21 Deleted: 23
% 0.81/1.21 Deletedinuse: 0
% 0.81/1.21
% 0.81/1.21 Resimplifying inuse:
% 0.81/1.21 Done
% 0.81/1.21
% 0.81/1.21 *** allocated 50625 integers for termspace/termends
% 0.81/1.21 *** allocated 170857 integers for clauses
% 0.81/1.21 Resimplifying inuse:
% 0.81/1.21 Done
% 0.81/1.21
% 0.81/1.21 *** allocated 75937 integers for termspace/termends
% 0.81/1.21
% 0.81/1.21 Intermediate Status:
% 0.81/1.21 Generated: 6033
% 0.81/1.21 Kept: 4170
% 0.81/1.21 Inuse: 362
% 0.81/1.21 Deleted: 34
% 0.81/1.21 Deletedinuse: 0
% 0.81/1.21
% 0.81/1.21 Resimplifying inuse:
% 0.81/1.21 Done
% 0.81/1.21
% 0.81/1.21 *** allocated 256285 integers for clauses
% 0.81/1.21 Resimplifying inuse:
% 0.81/1.21 Done
% 0.81/1.21
% 0.81/1.21 *** allocated 113905 integers for termspace/termends
% 0.81/1.21
% 0.81/1.21 Intermediate Status:
% 0.81/1.21 Generated: 8842
% 0.81/1.21 Kept: 6227
% 0.81/1.21 Inuse: 447
% 0.81/1.21 Deleted: 34
% 0.81/1.21 Deletedinuse: 0
% 0.81/1.21
% 0.81/1.21 Resimplifying inuse:
% 0.81/1.21 Done
% 0.81/1.21
% 0.81/1.21 *** allocated 384427 integers for clauses
% 0.81/1.21 Resimplifying inuse:
% 0.81/1.21 Done
% 0.81/1.21
% 0.81/1.21
% 0.81/1.21 Intermediate Status:
% 0.81/1.21 Generated: 12117
% 0.81/1.21 Kept: 8428
% 0.81/1.21 Inuse: 502
% 0.81/1.21 Deleted: 34
% 0.81/1.21 Deletedinuse: 0
% 0.81/1.21
% 0.81/1.21 Resimplifying inuse:
% 0.81/1.21 Done
% 0.81/1.21
% 0.81/1.21
% 0.81/1.21 Bliksems!, er is een bewijs:
% 0.81/1.21 % SZS status Theorem
% 0.81/1.21 % SZS output start Refutation
% 0.81/1.21
% 0.81/1.21 (28) {G0,W12,D3,L3,V3,M3} I { ! happens( Z, X ), ! initiates( Z, Y, X ),
% 0.81/1.21 holdsAt( Y, plus( X, n1 ) ) }.
% 0.81/1.21 (35) {G0,W8,D2,L2,V3,M2} I { ! alpha17( X, Y, Z ), initiates( X, Y, Z ) }.
% 0.81/1.21 (38) {G0,W8,D2,L2,V3,M2} I { ! alpha23( X, Y, Z ), alpha17( X, Y, Z ) }.
% 0.81/1.21 (41) {G0,W10,D2,L3,V3,M3} I { ! X = pull, ! alpha11( Y, Z ), alpha23( X, Y
% 0.81/1.21 , Z ) }.
% 0.81/1.21 (50) {G0,W9,D2,L3,V2,M3} I { ! X = spinning, ! happens( push, Y ), alpha11
% 0.81/1.21 ( X, Y ) }.
% 0.81/1.21 (111) {G0,W6,D2,L2,V2,M2} I { ! alpha10( X, Y ), happens( X, Y ) }.
% 0.81/1.21 (114) {G0,W6,D2,L2,V2,M2} I { ! alpha16( X, Y ), alpha10( X, Y ) }.
% 0.81/1.21 (116) {G0,W6,D2,L2,V2,M2} I { ! alpha19( X, Y ), alpha16( X, Y ) }.
% 0.81/1.21 (117) {G0,W6,D2,L2,V2,M2} I { ! alpha22( X, Y ), alpha16( X, Y ) }.
% 0.81/1.21 (120) {G0,W9,D2,L3,V2,M3} I { ! X = push, ! Y = n2, alpha22( X, Y ) }.
% 0.81/1.21 (123) {G0,W9,D2,L3,V2,M3} I { ! X = pull, ! Y = n2, alpha19( X, Y ) }.
% 0.81/1.21 (139) {G0,W5,D3,L1,V0,M1} I { plus( n1, n2 ) ==> n3 }.
% 0.81/1.21 (144) {G0,W7,D3,L1,V2,M1} I { plus( X, Y ) = plus( Y, X ) }.
% 0.81/1.21 (174) {G0,W3,D2,L1,V0,M1} I { ! holdsAt( spinning, n3 ) }.
% 0.81/1.21 (194) {G1,W6,D2,L2,V1,M2} Q(120) { ! X = push, alpha22( X, n2 ) }.
% 0.81/1.21 (195) {G2,W3,D2,L1,V0,M1} Q(194) { alpha22( push, n2 ) }.
% 0.81/1.21 (197) {G1,W6,D2,L2,V1,M2} Q(123) { ! X = pull, alpha19( X, n2 ) }.
% 0.81/1.21 (198) {G2,W3,D2,L1,V0,M1} Q(197) { alpha19( pull, n2 ) }.
% 0.81/1.21 (990) {G3,W3,D2,L1,V0,M1} R(117,195) { alpha16( push, n2 ) }.
% 0.81/1.21 (991) {G3,W3,D2,L1,V0,M1} R(116,198) { alpha16( pull, n2 ) }.
% 0.81/1.21 (992) {G4,W3,D2,L1,V0,M1} R(114,991) { alpha10( pull, n2 ) }.
% 0.81/1.21 (994) {G4,W3,D2,L1,V0,M1} R(114,990) { alpha10( push, n2 ) }.
% 0.81/1.21 (1001) {G5,W3,D2,L1,V0,M1} R(111,994) { happens( push, n2 ) }.
% 0.81/1.21 (1002) {G5,W3,D2,L1,V0,M1} R(111,992) { happens( pull, n2 ) }.
% 0.81/1.21 (2443) {G6,W6,D2,L2,V1,M2} R(50,1001) { ! X = spinning, alpha11( X, n2 )
% 0.81/1.21 }.
% 0.81/1.21 (2491) {G7,W3,D2,L1,V0,M1} Q(2443) { alpha11( spinning, n2 ) }.
% 0.81/1.21 (2504) {G8,W7,D2,L2,V1,M2} R(2491,41) { ! X = pull, alpha23( X, spinning,
% 0.81/1.21 n2 ) }.
% 0.81/1.21 (2505) {G9,W4,D2,L1,V0,M1} Q(2504) { alpha23( pull, spinning, n2 ) }.
% 0.81/1.21 (2506) {G10,W4,D2,L1,V0,M1} R(2505,38) { alpha17( pull, spinning, n2 ) }.
% 0.81/1.21 (2507) {G11,W4,D2,L1,V0,M1} R(2506,35) { initiates( pull, spinning, n2 )
% 0.81/1.21 }.
% 0.81/1.21 (2760) {G12,W5,D3,L1,V0,M1} R(2507,28);r(1002) { holdsAt( spinning, plus(
% 0.81/1.21 n2, n1 ) ) }.
% 0.81/1.21 (8571) {G13,W0,D0,L0,V0,M0} P(144,2760);d(139);r(174) { }.
% 0.81/1.21
% 0.81/1.21
% 0.81/1.21 % SZS output end Refutation
% 0.81/1.21 found a proof!
% 0.81/1.21
% 0.81/1.21
% 0.81/1.21 Unprocessed initial clauses:
% 0.81/1.21
% 0.81/1.21 (8573) {G0,W13,D3,L2,V3,M2} { ! stoppedIn( X, Y, Z ), happens( skol1( X, Y
% 0.81/1.21 , Z ), skol7( X, Y, Z ) ) }.
% 0.81/1.21 (8574) {G0,W16,D3,L2,V3,M2} { ! stoppedIn( X, Y, Z ), alpha6( X, Y, Z,
% 0.81/1.21 skol1( X, Y, Z ), skol7( X, Y, Z ) ) }.
% 0.81/1.21 (8575) {G0,W13,D2,L3,V5,M3} { ! happens( T, U ), ! alpha6( X, Y, Z, T, U )
% 0.81/1.21 , stoppedIn( X, Y, Z ) }.
% 0.81/1.21 (8576) {G0,W9,D2,L2,V5,M2} { ! alpha6( X, Y, Z, T, U ), less( X, U ) }.
% 0.81/1.21 (8577) {G0,W11,D2,L2,V5,M2} { ! alpha6( X, Y, Z, T, U ), alpha1( Y, Z, T,
% 0.81/1.21 U ) }.
% 0.81/1.21 (8578) {G0,W14,D2,L3,V5,M3} { ! less( X, U ), ! alpha1( Y, Z, T, U ),
% 0.81/1.21 alpha6( X, Y, Z, T, U ) }.
% 0.81/1.21 (8579) {G0,W8,D2,L2,V4,M2} { ! alpha1( X, Y, Z, T ), less( T, Y ) }.
% 0.81/1.21 (8580) {G0,W9,D2,L2,V4,M2} { ! alpha1( X, Y, Z, T ), terminates( Z, X, T )
% 0.81/1.21 }.
% 0.81/1.21 (8581) {G0,W12,D2,L3,V4,M3} { ! less( T, Y ), ! terminates( Z, X, T ),
% 0.81/1.21 alpha1( X, Y, Z, T ) }.
% 0.81/1.21 (8582) {G0,W13,D3,L2,V3,M2} { ! startedIn( X, Z, Y ), happens( skol2( X, Y
% 0.81/1.21 , Z ), skol8( X, Y, Z ) ) }.
% 0.81/1.21 (8583) {G0,W16,D3,L2,V3,M2} { ! startedIn( X, Z, Y ), alpha7( X, Y, Z,
% 0.81/1.21 skol2( X, Y, Z ), skol8( X, Y, Z ) ) }.
% 0.81/1.21 (8584) {G0,W13,D2,L3,V5,M3} { ! happens( T, U ), ! alpha7( X, Y, Z, T, U )
% 0.81/1.21 , startedIn( X, Z, Y ) }.
% 0.81/1.21 (8585) {G0,W9,D2,L2,V5,M2} { ! alpha7( X, Y, Z, T, U ), less( X, U ) }.
% 0.81/1.21 (8586) {G0,W11,D2,L2,V5,M2} { ! alpha7( X, Y, Z, T, U ), alpha2( Y, Z, T,
% 0.81/1.21 U ) }.
% 0.81/1.21 (8587) {G0,W14,D2,L3,V5,M3} { ! less( X, U ), ! alpha2( Y, Z, T, U ),
% 0.81/1.21 alpha7( X, Y, Z, T, U ) }.
% 0.81/1.21 (8588) {G0,W8,D2,L2,V4,M2} { ! alpha2( X, Y, Z, T ), less( T, X ) }.
% 0.81/1.21 (8589) {G0,W9,D2,L2,V4,M2} { ! alpha2( X, Y, Z, T ), initiates( Z, Y, T )
% 0.81/1.21 }.
% 0.81/1.21 (8590) {G0,W12,D2,L3,V4,M3} { ! less( T, X ), ! initiates( Z, Y, T ),
% 0.81/1.21 alpha2( X, Y, Z, T ) }.
% 0.81/1.21 (8591) {G0,W26,D3,L6,V5,M6} { ! happens( T, X ), ! initiates( T, U, X ), !
% 0.81/1.21 less( n0, Z ), ! trajectory( U, X, Y, Z ), stoppedIn( X, U, plus( X, Z )
% 0.81/1.21 ), holdsAt( Y, plus( X, Z ) ) }.
% 0.81/1.21 (8592) {G0,W26,D3,L6,V5,M6} { ! happens( T, X ), ! terminates( T, U, X ),
% 0.81/1.22 ! less( n0, Y ), ! antitrajectory( U, X, Z, Y ), startedIn( X, U, plus( X
% 0.81/1.22 , Y ) ), holdsAt( Z, plus( X, Y ) ) }.
% 0.81/1.22 (8593) {G0,W18,D3,L4,V3,M4} { ! holdsAt( X, Y ), releasedAt( X, plus( Y,
% 0.81/1.22 n1 ) ), happens( skol3( Z, Y ), Y ), holdsAt( X, plus( Y, n1 ) ) }.
% 0.81/1.22 (8594) {G0,W19,D3,L4,V2,M4} { ! holdsAt( X, Y ), releasedAt( X, plus( Y,
% 0.81/1.22 n1 ) ), terminates( skol3( X, Y ), X, Y ), holdsAt( X, plus( Y, n1 ) )
% 0.81/1.22 }.
% 0.81/1.22 (8595) {G0,W18,D3,L4,V3,M4} { holdsAt( X, Y ), releasedAt( X, plus( Y, n1
% 0.81/1.22 ) ), happens( skol4( Z, Y ), Y ), ! holdsAt( X, plus( Y, n1 ) ) }.
% 0.81/1.22 (8596) {G0,W19,D3,L4,V2,M4} { holdsAt( X, Y ), releasedAt( X, plus( Y, n1
% 0.81/1.22 ) ), initiates( skol4( X, Y ), X, Y ), ! holdsAt( X, plus( Y, n1 ) ) }.
% 0.81/1.22 (8597) {G0,W13,D3,L3,V3,M3} { ! releasedAt( X, Y ), happens( skol5( Z, Y )
% 0.81/1.22 , Y ), releasedAt( X, plus( Y, n1 ) ) }.
% 0.81/1.22 (8598) {G0,W20,D3,L4,V2,M4} { ! releasedAt( X, Y ), initiates( skol5( X, Y
% 0.81/1.22 ), X, Y ), terminates( skol5( X, Y ), X, Y ), releasedAt( X, plus( Y, n1
% 0.81/1.22 ) ) }.
% 0.81/1.22 (8599) {G0,W13,D3,L3,V3,M3} { releasedAt( X, Y ), happens( skol6( Z, Y ),
% 0.81/1.22 Y ), ! releasedAt( X, plus( Y, n1 ) ) }.
% 0.81/1.22 (8600) {G0,W14,D3,L3,V2,M3} { releasedAt( X, Y ), releases( skol6( X, Y )
% 0.81/1.22 , X, Y ), ! releasedAt( X, plus( Y, n1 ) ) }.
% 0.81/1.22 (8601) {G0,W12,D3,L3,V3,M3} { ! happens( Z, X ), ! initiates( Z, Y, X ),
% 0.81/1.22 holdsAt( Y, plus( X, n1 ) ) }.
% 0.81/1.22 (8602) {G0,W12,D3,L3,V3,M3} { ! happens( Z, X ), ! terminates( Z, Y, X ),
% 0.81/1.22 ! holdsAt( Y, plus( X, n1 ) ) }.
% 0.81/1.22 (8603) {G0,W12,D3,L3,V3,M3} { ! happens( Z, X ), ! releases( Z, Y, X ),
% 0.81/1.22 releasedAt( Y, plus( X, n1 ) ) }.
% 0.81/1.22 (8604) {G0,W12,D3,L3,V3,M3} { ! happens( Z, X ), ! initiates( Z, Y, X ), !
% 0.81/1.22 releasedAt( Y, plus( X, n1 ) ) }.
% 0.81/1.22 (8605) {G0,W12,D3,L3,V3,M3} { ! happens( Z, X ), ! terminates( Z, Y, X ),
% 0.81/1.22 ! releasedAt( Y, plus( X, n1 ) ) }.
% 0.81/1.22 (8606) {G0,W12,D2,L3,V3,M3} { ! initiates( X, Y, Z ), alpha14( X, Y, Z ),
% 0.81/1.22 alpha17( X, Y, Z ) }.
% 0.81/1.22 (8607) {G0,W8,D2,L2,V3,M2} { ! alpha14( X, Y, Z ), initiates( X, Y, Z )
% 0.81/1.22 }.
% 0.81/1.22 (8608) {G0,W8,D2,L2,V3,M2} { ! alpha17( X, Y, Z ), initiates( X, Y, Z )
% 0.81/1.22 }.
% 0.81/1.22 (8609) {G0,W12,D2,L3,V3,M3} { ! alpha17( X, Y, Z ), alpha20( X, Y, Z ),
% 0.81/1.22 alpha23( X, Y, Z ) }.
% 0.81/1.22 (8610) {G0,W8,D2,L2,V3,M2} { ! alpha20( X, Y, Z ), alpha17( X, Y, Z ) }.
% 0.81/1.22 (8611) {G0,W8,D2,L2,V3,M2} { ! alpha23( X, Y, Z ), alpha17( X, Y, Z ) }.
% 0.81/1.22 (8612) {G0,W7,D2,L2,V3,M2} { ! alpha23( X, Y, Z ), X = pull }.
% 0.81/1.22 (8613) {G0,W7,D2,L2,V3,M2} { ! alpha23( X, Y, Z ), alpha11( Y, Z ) }.
% 0.81/1.22 (8614) {G0,W10,D2,L3,V3,M3} { ! X = pull, ! alpha11( Y, Z ), alpha23( X, Y
% 0.81/1.22 , Z ) }.
% 0.81/1.22 (8615) {G0,W7,D2,L2,V3,M2} { ! alpha20( X, Y, Z ), X = pull }.
% 0.81/1.22 (8616) {G0,W7,D2,L2,V3,M2} { ! alpha20( X, Y, Z ), alpha8( Y, Z ) }.
% 0.81/1.22 (8617) {G0,W10,D2,L3,V3,M3} { ! X = pull, ! alpha8( Y, Z ), alpha20( X, Y
% 0.81/1.22 , Z ) }.
% 0.81/1.22 (8618) {G0,W7,D2,L2,V3,M2} { ! alpha14( X, Y, Z ), X = push }.
% 0.81/1.22 (8619) {G0,W7,D2,L2,V3,M2} { ! alpha14( X, Y, Z ), alpha3( Y, Z ) }.
% 0.81/1.22 (8620) {G0,W10,D2,L3,V3,M3} { ! X = push, ! alpha3( Y, Z ), alpha14( X, Y
% 0.81/1.22 , Z ) }.
% 0.81/1.22 (8621) {G0,W6,D2,L2,V2,M2} { ! alpha11( X, Y ), X = spinning }.
% 0.81/1.22 (8622) {G0,W6,D2,L2,V2,M2} { ! alpha11( X, Y ), happens( push, Y ) }.
% 0.81/1.22 (8623) {G0,W9,D2,L3,V2,M3} { ! X = spinning, ! happens( push, Y ), alpha11
% 0.81/1.22 ( X, Y ) }.
% 0.81/1.22 (8624) {G0,W6,D2,L2,V2,M2} { ! alpha8( X, Y ), X = backwards }.
% 0.81/1.22 (8625) {G0,W6,D2,L2,V2,M2} { ! alpha8( X, Y ), ! happens( push, Y ) }.
% 0.81/1.22 (8626) {G0,W9,D2,L3,V2,M3} { ! X = backwards, happens( push, Y ), alpha8(
% 0.81/1.22 X, Y ) }.
% 0.81/1.22 (8627) {G0,W6,D2,L2,V2,M2} { ! alpha3( X, Y ), X = forwards }.
% 0.81/1.22 (8628) {G0,W6,D2,L2,V2,M2} { ! alpha3( X, Y ), ! happens( pull, Y ) }.
% 0.81/1.22 (8629) {G0,W9,D2,L3,V2,M3} { ! X = forwards, happens( pull, Y ), alpha3( X
% 0.81/1.22 , Y ) }.
% 0.81/1.22 (8630) {G0,W12,D2,L3,V3,M3} { ! terminates( X, Y, Z ), alpha24( X, Y, Z )
% 0.81/1.22 , alpha25( X, Y, Z ) }.
% 0.81/1.22 (8631) {G0,W8,D2,L2,V3,M2} { ! alpha24( X, Y, Z ), terminates( X, Y, Z )
% 0.81/1.22 }.
% 0.81/1.22 (8632) {G0,W8,D2,L2,V3,M2} { ! alpha25( X, Y, Z ), terminates( X, Y, Z )
% 0.81/1.22 }.
% 0.81/1.22 (8633) {G0,W12,D2,L3,V3,M3} { ! alpha25( X, Y, Z ), alpha26( X, Y, Z ),
% 0.81/1.22 alpha27( X, Y, Z ) }.
% 0.81/1.22 (8634) {G0,W8,D2,L2,V3,M2} { ! alpha26( X, Y, Z ), alpha25( X, Y, Z ) }.
% 0.81/1.22 (8635) {G0,W8,D2,L2,V3,M2} { ! alpha27( X, Y, Z ), alpha25( X, Y, Z ) }.
% 0.81/1.22 (8636) {G0,W12,D2,L3,V3,M3} { ! alpha27( X, Y, Z ), alpha28( X, Y, Z ),
% 0.81/1.22 alpha29( X, Y, Z ) }.
% 0.81/1.22 (8637) {G0,W8,D2,L2,V3,M2} { ! alpha28( X, Y, Z ), alpha27( X, Y, Z ) }.
% 0.81/1.22 (8638) {G0,W8,D2,L2,V3,M2} { ! alpha29( X, Y, Z ), alpha27( X, Y, Z ) }.
% 0.81/1.22 (8639) {G0,W12,D2,L3,V3,M3} { ! alpha29( X, Y, Z ), alpha30( X, Y, Z ),
% 0.81/1.22 alpha31( X, Y, Z ) }.
% 0.81/1.22 (8640) {G0,W8,D2,L2,V3,M2} { ! alpha30( X, Y, Z ), alpha29( X, Y, Z ) }.
% 0.81/1.22 (8641) {G0,W8,D2,L2,V3,M2} { ! alpha31( X, Y, Z ), alpha29( X, Y, Z ) }.
% 0.81/1.22 (8642) {G0,W12,D2,L3,V3,M3} { ! alpha31( X, Y, Z ), alpha32( X, Y, Z ),
% 0.81/1.22 alpha33( X, Y, Z ) }.
% 0.81/1.22 (8643) {G0,W8,D2,L2,V3,M2} { ! alpha32( X, Y, Z ), alpha31( X, Y, Z ) }.
% 0.81/1.22 (8644) {G0,W8,D2,L2,V3,M2} { ! alpha33( X, Y, Z ), alpha31( X, Y, Z ) }.
% 0.81/1.22 (8645) {G0,W7,D2,L2,V3,M2} { ! alpha33( X, Y, Z ), X = pull }.
% 0.81/1.22 (8646) {G0,W7,D2,L2,V3,M2} { ! alpha33( X, Y, Z ), alpha21( Y, Z ) }.
% 0.81/1.22 (8647) {G0,W10,D2,L3,V3,M3} { ! X = pull, ! alpha21( Y, Z ), alpha33( X, Y
% 0.81/1.22 , Z ) }.
% 0.81/1.22 (8648) {G0,W7,D2,L2,V3,M2} { ! alpha32( X, Y, Z ), X = push }.
% 0.81/1.22 (8649) {G0,W7,D2,L2,V3,M2} { ! alpha32( X, Y, Z ), alpha18( Y, Z ) }.
% 0.81/1.22 (8650) {G0,W10,D2,L3,V3,M3} { ! X = push, ! alpha18( Y, Z ), alpha32( X, Y
% 0.81/1.22 , Z ) }.
% 0.81/1.22 (8651) {G0,W7,D2,L2,V3,M2} { ! alpha30( X, Y, Z ), X = pull }.
% 0.81/1.22 (8652) {G0,W7,D2,L2,V3,M2} { ! alpha30( X, Y, Z ), alpha15( Y, Z ) }.
% 0.81/1.22 (8653) {G0,W10,D2,L3,V3,M3} { ! X = pull, ! alpha15( Y, Z ), alpha30( X, Y
% 0.81/1.22 , Z ) }.
% 0.81/1.22 (8654) {G0,W7,D2,L2,V3,M2} { ! alpha28( X, Y, Z ), X = pull }.
% 0.81/1.22 (8655) {G0,W7,D2,L2,V3,M2} { ! alpha28( X, Y, Z ), alpha12( Y, Z ) }.
% 0.81/1.22 (8656) {G0,W10,D2,L3,V3,M3} { ! X = pull, ! alpha12( Y, Z ), alpha28( X, Y
% 0.81/1.22 , Z ) }.
% 0.81/1.22 (8657) {G0,W7,D2,L2,V3,M2} { ! alpha26( X, Y, Z ), X = pull }.
% 0.81/1.22 (8658) {G0,W7,D2,L2,V3,M2} { ! alpha26( X, Y, Z ), alpha9( Y, Z ) }.
% 0.81/1.22 (8659) {G0,W10,D2,L3,V3,M3} { ! X = pull, ! alpha9( Y, Z ), alpha26( X, Y
% 0.81/1.22 , Z ) }.
% 0.81/1.22 (8660) {G0,W7,D2,L2,V3,M2} { ! alpha24( X, Y, Z ), X = push }.
% 0.81/1.22 (8661) {G0,W7,D2,L2,V3,M2} { ! alpha24( X, Y, Z ), alpha4( Y, Z ) }.
% 0.81/1.22 (8662) {G0,W10,D2,L3,V3,M3} { ! X = push, ! alpha4( Y, Z ), alpha24( X, Y
% 0.81/1.22 , Z ) }.
% 0.81/1.22 (8663) {G0,W6,D2,L2,V2,M2} { ! alpha21( X, Y ), X = spinning }.
% 0.81/1.22 (8664) {G0,W6,D2,L2,V2,M2} { ! alpha21( X, Y ), ! happens( push, Y ) }.
% 0.81/1.22 (8665) {G0,W9,D2,L3,V2,M3} { ! X = spinning, happens( push, Y ), alpha21(
% 0.81/1.22 X, Y ) }.
% 0.81/1.22 (8666) {G0,W6,D2,L2,V2,M2} { ! alpha18( X, Y ), X = spinning }.
% 0.81/1.22 (8667) {G0,W6,D2,L2,V2,M2} { ! alpha18( X, Y ), ! happens( pull, Y ) }.
% 0.81/1.22 (8668) {G0,W9,D2,L3,V2,M3} { ! X = spinning, happens( pull, Y ), alpha18(
% 0.81/1.22 X, Y ) }.
% 0.81/1.22 (8669) {G0,W6,D2,L2,V2,M2} { ! alpha15( X, Y ), X = backwards }.
% 0.81/1.22 (8670) {G0,W6,D2,L2,V2,M2} { ! alpha15( X, Y ), happens( push, Y ) }.
% 0.81/1.22 (8671) {G0,W9,D2,L3,V2,M3} { ! X = backwards, ! happens( push, Y ),
% 0.81/1.22 alpha15( X, Y ) }.
% 0.81/1.22 (8672) {G0,W6,D2,L2,V2,M2} { ! alpha12( X, Y ), X = forwards }.
% 0.81/1.22 (8673) {G0,W6,D2,L2,V2,M2} { ! alpha12( X, Y ), happens( push, Y ) }.
% 0.81/1.22 (8674) {G0,W9,D2,L3,V2,M3} { ! X = forwards, ! happens( push, Y ), alpha12
% 0.81/1.22 ( X, Y ) }.
% 0.81/1.22 (8675) {G0,W6,D2,L2,V2,M2} { ! alpha9( X, Y ), X = forwards }.
% 0.81/1.22 (8676) {G0,W6,D2,L2,V2,M2} { ! alpha9( X, Y ), ! happens( push, Y ) }.
% 0.81/1.22 (8677) {G0,W9,D2,L3,V2,M3} { ! X = forwards, happens( push, Y ), alpha9( X
% 0.81/1.22 , Y ) }.
% 0.81/1.22 (8678) {G0,W6,D2,L2,V2,M2} { ! alpha4( X, Y ), X = backwards }.
% 0.81/1.22 (8679) {G0,W6,D2,L2,V2,M2} { ! alpha4( X, Y ), ! happens( pull, Y ) }.
% 0.81/1.22 (8680) {G0,W9,D2,L3,V2,M3} { ! X = backwards, happens( pull, Y ), alpha4(
% 0.81/1.22 X, Y ) }.
% 0.81/1.22 (8681) {G0,W4,D2,L1,V3,M1} { ! releases( X, Y, Z ) }.
% 0.81/1.22 (8682) {G0,W9,D2,L3,V2,M3} { ! happens( X, Y ), alpha5( X, Y ), alpha10( X
% 0.81/1.22 , Y ) }.
% 0.81/1.22 (8683) {G0,W6,D2,L2,V2,M2} { ! alpha5( X, Y ), happens( X, Y ) }.
% 0.81/1.22 (8684) {G0,W6,D2,L2,V2,M2} { ! alpha10( X, Y ), happens( X, Y ) }.
% 0.81/1.22 (8685) {G0,W9,D2,L3,V2,M3} { ! alpha10( X, Y ), alpha13( X, Y ), alpha16(
% 0.81/1.22 X, Y ) }.
% 0.81/1.22 (8686) {G0,W6,D2,L2,V2,M2} { ! alpha13( X, Y ), alpha10( X, Y ) }.
% 0.81/1.22 (8687) {G0,W6,D2,L2,V2,M2} { ! alpha16( X, Y ), alpha10( X, Y ) }.
% 0.81/1.22 (8688) {G0,W9,D2,L3,V2,M3} { ! alpha16( X, Y ), alpha19( X, Y ), alpha22(
% 0.81/1.22 X, Y ) }.
% 0.81/1.22 (8689) {G0,W6,D2,L2,V2,M2} { ! alpha19( X, Y ), alpha16( X, Y ) }.
% 0.81/1.22 (8690) {G0,W6,D2,L2,V2,M2} { ! alpha22( X, Y ), alpha16( X, Y ) }.
% 0.81/1.22 (8691) {G0,W6,D2,L2,V2,M2} { ! alpha22( X, Y ), X = push }.
% 0.81/1.22 (8692) {G0,W6,D2,L2,V2,M2} { ! alpha22( X, Y ), Y = n2 }.
% 0.81/1.22 (8693) {G0,W9,D2,L3,V2,M3} { ! X = push, ! Y = n2, alpha22( X, Y ) }.
% 0.81/1.22 (8694) {G0,W6,D2,L2,V2,M2} { ! alpha19( X, Y ), X = pull }.
% 0.81/1.22 (8695) {G0,W6,D2,L2,V2,M2} { ! alpha19( X, Y ), Y = n2 }.
% 0.81/1.22 (8696) {G0,W9,D2,L3,V2,M3} { ! X = pull, ! Y = n2, alpha19( X, Y ) }.
% 0.81/1.22 (8697) {G0,W6,D2,L2,V2,M2} { ! alpha13( X, Y ), X = pull }.
% 0.81/1.22 (8698) {G0,W6,D2,L2,V2,M2} { ! alpha13( X, Y ), Y = n1 }.
% 0.81/1.22 (8699) {G0,W9,D2,L3,V2,M3} { ! X = pull, ! Y = n1, alpha13( X, Y ) }.
% 0.81/1.22 (8700) {G0,W6,D2,L2,V2,M2} { ! alpha5( X, Y ), X = push }.
% 0.81/1.22 (8701) {G0,W6,D2,L2,V2,M2} { ! alpha5( X, Y ), Y = n0 }.
% 0.81/1.22 (8702) {G0,W9,D2,L3,V2,M3} { ! X = push, ! Y = n0, alpha5( X, Y ) }.
% 0.81/1.22 (8703) {G0,W3,D2,L1,V0,M1} { ! push = pull }.
% 0.81/1.22 (8704) {G0,W3,D2,L1,V0,M1} { ! forwards = backwards }.
% 0.81/1.22 (8705) {G0,W3,D2,L1,V0,M1} { ! forwards = spinning }.
% 0.81/1.22 (8706) {G0,W3,D2,L1,V0,M1} { ! spinning = backwards }.
% 0.81/1.22 (8707) {G0,W5,D3,L1,V0,M1} { plus( n0, n0 ) = n0 }.
% 0.81/1.22 (8708) {G0,W5,D3,L1,V0,M1} { plus( n0, n1 ) = n1 }.
% 0.81/1.22 (8709) {G0,W5,D3,L1,V0,M1} { plus( n0, n2 ) = n2 }.
% 0.81/1.22 (8710) {G0,W5,D3,L1,V0,M1} { plus( n0, n3 ) = n3 }.
% 0.81/1.22 (8711) {G0,W5,D3,L1,V0,M1} { plus( n1, n1 ) = n2 }.
% 0.81/1.22 (8712) {G0,W5,D3,L1,V0,M1} { plus( n1, n2 ) = n3 }.
% 0.81/1.22 (8713) {G0,W5,D3,L1,V0,M1} { plus( n1, n3 ) = n4 }.
% 0.81/1.22 (8714) {G0,W5,D3,L1,V0,M1} { plus( n2, n2 ) = n4 }.
% 0.81/1.22 (8715) {G0,W5,D3,L1,V0,M1} { plus( n2, n3 ) = n5 }.
% 0.81/1.22 (8716) {G0,W5,D3,L1,V0,M1} { plus( n3, n3 ) = n6 }.
% 0.81/1.22 (8717) {G0,W7,D3,L1,V2,M1} { plus( X, Y ) = plus( Y, X ) }.
% 0.81/1.22 (8718) {G0,W9,D2,L3,V2,M3} { ! less_or_equal( X, Y ), less( X, Y ), X = Y
% 0.81/1.22 }.
% 0.81/1.22 (8719) {G0,W6,D2,L2,V2,M2} { ! less( X, Y ), less_or_equal( X, Y ) }.
% 0.81/1.22 (8720) {G0,W6,D2,L2,V2,M2} { ! X = Y, less_or_equal( X, Y ) }.
% 0.81/1.22 (8721) {G0,W3,D2,L1,V1,M1} { ! less( X, n0 ) }.
% 0.81/1.22 (8722) {G0,W6,D2,L2,V1,M2} { ! less( X, n1 ), less_or_equal( X, n0 ) }.
% 0.81/1.22 (8723) {G0,W6,D2,L2,V1,M2} { ! less_or_equal( X, n0 ), less( X, n1 ) }.
% 0.81/1.22 (8724) {G0,W6,D2,L2,V1,M2} { ! less( X, n2 ), less_or_equal( X, n1 ) }.
% 0.81/1.22 (8725) {G0,W6,D2,L2,V1,M2} { ! less_or_equal( X, n1 ), less( X, n2 ) }.
% 0.81/1.22 (8726) {G0,W6,D2,L2,V1,M2} { ! less( X, n3 ), less_or_equal( X, n2 ) }.
% 0.81/1.22 (8727) {G0,W6,D2,L2,V1,M2} { ! less_or_equal( X, n2 ), less( X, n3 ) }.
% 0.81/1.22 (8728) {G0,W6,D2,L2,V1,M2} { ! less( X, n4 ), less_or_equal( X, n3 ) }.
% 0.81/1.22 (8729) {G0,W6,D2,L2,V1,M2} { ! less_or_equal( X, n3 ), less( X, n4 ) }.
% 0.81/1.22 (8730) {G0,W6,D2,L2,V1,M2} { ! less( X, n5 ), less_or_equal( X, n4 ) }.
% 0.81/1.22 (8731) {G0,W6,D2,L2,V1,M2} { ! less_or_equal( X, n4 ), less( X, n5 ) }.
% 0.81/1.22 (8732) {G0,W6,D2,L2,V1,M2} { ! less( X, n6 ), less_or_equal( X, n5 ) }.
% 0.81/1.22 (8733) {G0,W6,D2,L2,V1,M2} { ! less_or_equal( X, n5 ), less( X, n6 ) }.
% 0.81/1.22 (8734) {G0,W6,D2,L2,V1,M2} { ! less( X, n7 ), less_or_equal( X, n6 ) }.
% 0.81/1.22 (8735) {G0,W6,D2,L2,V1,M2} { ! less_or_equal( X, n6 ), less( X, n7 ) }.
% 0.81/1.22 (8736) {G0,W6,D2,L2,V1,M2} { ! less( X, n8 ), less_or_equal( X, n7 ) }.
% 0.81/1.22 (8737) {G0,W6,D2,L2,V1,M2} { ! less_or_equal( X, n7 ), less( X, n8 ) }.
% 0.81/1.22 (8738) {G0,W6,D2,L2,V1,M2} { ! less( X, n9 ), less_or_equal( X, n8 ) }.
% 0.81/1.22 (8739) {G0,W6,D2,L2,V1,M2} { ! less_or_equal( X, n8 ), less( X, n9 ) }.
% 0.81/1.22 (8740) {G0,W6,D2,L2,V2,M2} { ! less( X, Y ), ! less( Y, X ) }.
% 0.81/1.22 (8741) {G0,W6,D2,L2,V2,M2} { ! less( X, Y ), ! Y = X }.
% 0.81/1.22 (8742) {G0,W9,D2,L3,V2,M3} { less( Y, X ), Y = X, less( X, Y ) }.
% 0.81/1.22 (8743) {G0,W3,D2,L1,V0,M1} { ! holdsAt( forwards, n0 ) }.
% 0.81/1.22 (8744) {G0,W3,D2,L1,V0,M1} { ! holdsAt( backwards, n0 ) }.
% 0.81/1.22 (8745) {G0,W3,D2,L1,V0,M1} { ! holdsAt( spinning, n0 ) }.
% 0.81/1.22 (8746) {G0,W3,D2,L1,V2,M1} { ! releasedAt( X, Y ) }.
% 0.81/1.22 (8747) {G0,W3,D2,L1,V0,M1} { ! holdsAt( spinning, n3 ) }.
% 0.81/1.22
% 0.81/1.22
% 0.81/1.22 Total Proof:
% 0.81/1.22
% 0.81/1.22 subsumption: (28) {G0,W12,D3,L3,V3,M3} I { ! happens( Z, X ), ! initiates(
% 0.81/1.22 Z, Y, X ), holdsAt( Y, plus( X, n1 ) ) }.
% 0.81/1.22 parent0: (8601) {G0,W12,D3,L3,V3,M3} { ! happens( Z, X ), ! initiates( Z,
% 0.81/1.22 Y, X ), holdsAt( Y, plus( X, n1 ) ) }.
% 0.81/1.22 substitution0:
% 0.81/1.22 X := X
% 0.81/1.22 Y := Y
% 0.81/1.22 Z := Z
% 0.81/1.22 end
% 0.81/1.22 permutation0:
% 0.81/1.22 0 ==> 0
% 0.81/1.22 1 ==> 1
% 0.81/1.22 2 ==> 2
% 0.81/1.22 end
% 0.81/1.22
% 0.81/1.22 subsumption: (35) {G0,W8,D2,L2,V3,M2} I { ! alpha17( X, Y, Z ), initiates(
% 0.81/1.22 X, Y, Z ) }.
% 0.81/1.22 parent0: (8608) {G0,W8,D2,L2,V3,M2} { ! alpha17( X, Y, Z ), initiates( X,
% 0.81/1.22 Y, Z ) }.
% 0.81/1.22 substitution0:
% 0.81/1.22 X := X
% 0.81/1.22 Y := Y
% 0.81/1.22 Z := Z
% 0.81/1.22 end
% 0.81/1.22 permutation0:
% 0.81/1.22 0 ==> 0
% 0.81/1.22 1 ==> 1
% 0.81/1.22 end
% 0.81/1.22
% 0.81/1.22 subsumption: (38) {G0,W8,D2,L2,V3,M2} I { ! alpha23( X, Y, Z ), alpha17( X
% 0.81/1.22 , Y, Z ) }.
% 0.81/1.22 parent0: (8611) {G0,W8,D2,L2,V3,M2} { ! alpha23( X, Y, Z ), alpha17( X, Y
% 0.81/1.22 , Z ) }.
% 0.81/1.22 substitution0:
% 0.81/1.22 X := X
% 0.81/1.22 Y := Y
% 0.81/1.22 Z := Z
% 0.81/1.22 end
% 0.81/1.22 permutation0:
% 0.81/1.22 0 ==> 0
% 0.81/1.22 1 ==> 1
% 0.81/1.22 end
% 0.81/1.22
% 0.81/1.22 subsumption: (41) {G0,W10,D2,L3,V3,M3} I { ! X = pull, ! alpha11( Y, Z ),
% 0.81/1.22 alpha23( X, Y, Z ) }.
% 0.81/1.22 parent0: (8614) {G0,W10,D2,L3,V3,M3} { ! X = pull, ! alpha11( Y, Z ),
% 0.81/1.22 alpha23( X, Y, Z ) }.
% 0.81/1.22 substitution0:
% 0.81/1.22 X := X
% 0.81/1.22 Y := Y
% 0.81/1.22 Z := Z
% 0.81/1.22 end
% 0.81/1.22 permutation0:
% 0.81/1.22 0 ==> 0
% 0.81/1.22 1 ==> 1
% 0.81/1.22 2 ==> 2
% 0.81/1.22 end
% 0.81/1.22
% 0.81/1.22 subsumption: (50) {G0,W9,D2,L3,V2,M3} I { ! X = spinning, ! happens( push,
% 0.81/1.22 Y ), alpha11( X, Y ) }.
% 0.81/1.22 parent0: (8623) {G0,W9,D2,L3,V2,M3} { ! X = spinning, ! happens( push, Y )
% 0.81/1.22 , alpha11( X, Y ) }.
% 0.81/1.22 substitution0:
% 0.81/1.22 X := X
% 0.81/1.22 Y := Y
% 0.81/1.22 end
% 0.81/1.22 permutation0:
% 0.81/1.22 0 ==> 0
% 0.81/1.22 1 ==> 1
% 0.81/1.22 2 ==> 2
% 0.81/1.22 end
% 0.81/1.22
% 0.81/1.22 subsumption: (111) {G0,W6,D2,L2,V2,M2} I { ! alpha10( X, Y ), happens( X, Y
% 0.81/1.22 ) }.
% 0.81/1.22 parent0: (8684) {G0,W6,D2,L2,V2,M2} { ! alpha10( X, Y ), happens( X, Y )
% 0.81/1.22 }.
% 0.81/1.22 substitution0:
% 0.81/1.22 X := X
% 0.81/1.22 Y := Y
% 0.81/1.22 end
% 0.81/1.22 permutation0:
% 0.81/1.22 0 ==> 0
% 0.81/1.22 1 ==> 1
% 0.81/1.22 end
% 0.81/1.22
% 0.81/1.22 subsumption: (114) {G0,W6,D2,L2,V2,M2} I { ! alpha16( X, Y ), alpha10( X, Y
% 0.81/1.22 ) }.
% 0.81/1.22 parent0: (8687) {G0,W6,D2,L2,V2,M2} { ! alpha16( X, Y ), alpha10( X, Y )
% 0.81/1.22 }.
% 0.81/1.22 substitution0:
% 0.81/1.22 X := X
% 0.81/1.22 Y := Y
% 0.81/1.22 end
% 0.81/1.22 permutation0:
% 0.81/1.22 0 ==> 0
% 0.81/1.22 1 ==> 1
% 0.81/1.22 end
% 0.81/1.22
% 0.81/1.22 subsumption: (116) {G0,W6,D2,L2,V2,M2} I { ! alpha19( X, Y ), alpha16( X, Y
% 0.81/1.22 ) }.
% 0.81/1.22 parent0: (8689) {G0,W6,D2,L2,V2,M2} { ! alpha19( X, Y ), alpha16( X, Y )
% 0.81/1.22 }.
% 0.81/1.22 substitution0:
% 0.81/1.22 X := X
% 0.81/1.22 Y := Y
% 0.81/1.22 end
% 0.81/1.22 permutation0:
% 0.81/1.22 0 ==> 0
% 0.81/1.22 1 ==> 1
% 0.81/1.22 end
% 0.81/1.22
% 0.81/1.22 subsumption: (117) {G0,W6,D2,L2,V2,M2} I { ! alpha22( X, Y ), alpha16( X, Y
% 0.81/1.22 ) }.
% 0.81/1.22 parent0: (8690) {G0,W6,D2,L2,V2,M2} { ! alpha22( X, Y ), alpha16( X, Y )
% 0.81/1.22 }.
% 0.81/1.22 substitution0:
% 0.81/1.22 X := X
% 0.81/1.22 Y := Y
% 0.81/1.22 end
% 0.81/1.22 permutation0:
% 0.81/1.22 0 ==> 0
% 0.81/1.22 1 ==> 1
% 0.81/1.22 end
% 0.81/1.22
% 0.81/1.22 subsumption: (120) {G0,W9,D2,L3,V2,M3} I { ! X = push, ! Y = n2, alpha22( X
% 0.81/1.22 , Y ) }.
% 0.81/1.22 parent0: (8693) {G0,W9,D2,L3,V2,M3} { ! X = push, ! Y = n2, alpha22( X, Y
% 0.81/1.22 ) }.
% 0.81/1.22 substitution0:
% 0.81/1.22 X := X
% 0.81/1.22 Y := Y
% 0.81/1.22 end
% 0.81/1.22 permutation0:
% 0.81/1.22 0 ==> 0
% 0.81/1.22 1 ==> 1
% 0.81/1.22 2 ==> 2
% 0.81/1.22 end
% 0.81/1.22
% 0.81/1.22 subsumption: (123) {G0,W9,D2,L3,V2,M3} I { ! X = pull, ! Y = n2, alpha19( X
% 0.81/1.22 , Y ) }.
% 0.81/1.22 parent0: (8696) {G0,W9,D2,L3,V2,M3} { ! X = pull, ! Y = n2, alpha19( X, Y
% 0.81/1.22 ) }.
% 0.81/1.22 substitution0:
% 0.81/1.22 X := X
% 0.81/1.22 Y := Y
% 0.81/1.22 end
% 0.81/1.22 permutation0:
% 0.81/1.22 0 ==> 0
% 0.81/1.22 1 ==> 1
% 0.81/1.22 2 ==> 2
% 0.81/1.22 end
% 0.81/1.22
% 0.81/1.22 subsumption: (139) {G0,W5,D3,L1,V0,M1} I { plus( n1, n2 ) ==> n3 }.
% 0.81/1.22 parent0: (8712) {G0,W5,D3,L1,V0,M1} { plus( n1, n2 ) = n3 }.
% 0.81/1.22 substitution0:
% 0.81/1.22 end
% 0.81/1.22 permutation0:
% 0.81/1.22 0 ==> 0
% 0.81/1.22 end
% 0.81/1.22
% 0.81/1.22 subsumption: (144) {G0,W7,D3,L1,V2,M1} I { plus( X, Y ) = plus( Y, X ) }.
% 0.81/1.22 parent0: (8717) {G0,W7,D3,L1,V2,M1} { plus( X, Y ) = plus( Y, X ) }.
% 0.81/1.22 substitution0:
% 0.81/1.22 X := X
% 0.81/1.22 Y := Y
% 0.81/1.22 end
% 0.81/1.22 permutation0:
% 0.81/1.22 0 ==> 0
% 0.81/1.22 end
% 0.81/1.22
% 0.81/1.22 subsumption: (174) {G0,W3,D2,L1,V0,M1} I { ! holdsAt( spinning, n3 ) }.
% 0.81/1.22 parent0: (8747) {G0,W3,D2,L1,V0,M1} { ! holdsAt( spinning, n3 ) }.
% 0.81/1.22 substitution0:
% 0.81/1.22 end
% 0.81/1.22 permutation0:
% 0.81/1.22 0 ==> 0
% 0.81/1.22 end
% 0.81/1.22
% 0.81/1.22 eqswap: (9230) {G0,W9,D2,L3,V2,M3} { ! push = X, ! Y = n2, alpha22( X, Y )
% 0.81/1.22 }.
% 0.81/1.22 parent0[0]: (120) {G0,W9,D2,L3,V2,M3} I { ! X = push, ! Y = n2, alpha22( X
% 0.81/1.22 , Y ) }.
% 0.81/1.22 substitution0:
% 0.81/1.22 X := X
% 0.81/1.22 Y := Y
% 0.81/1.22 end
% 0.81/1.22
% 0.81/1.22 eqrefl: (9234) {G0,W6,D2,L2,V1,M2} { ! push = X, alpha22( X, n2 ) }.
% 0.81/1.22 parent0[1]: (9230) {G0,W9,D2,L3,V2,M3} { ! push = X, ! Y = n2, alpha22( X
% 0.81/1.22 , Y ) }.
% 0.81/1.22 substitution0:
% 0.81/1.22 X := X
% 0.81/1.22 Y := n2
% 0.81/1.22 end
% 0.81/1.22
% 0.81/1.22 eqswap: (9235) {G0,W6,D2,L2,V1,M2} { ! X = push, alpha22( X, n2 ) }.
% 0.81/1.22 parent0[0]: (9234) {G0,W6,D2,L2,V1,M2} { ! push = X, alpha22( X, n2 ) }.
% 0.81/1.22 substitution0:
% 0.81/1.22 X := X
% 0.81/1.22 end
% 0.81/1.22
% 0.81/1.22 subsumption: (194) {G1,W6,D2,L2,V1,M2} Q(120) { ! X = push, alpha22( X, n2
% 0.81/1.22 ) }.
% 0.81/1.22 parent0: (9235) {G0,W6,D2,L2,V1,M2} { ! X = push, alpha22( X, n2 ) }.
% 0.81/1.22 substitution0:
% 0.81/1.22 X := X
% 0.81/1.22 end
% 0.81/1.22 permutation0:
% 0.81/1.22 0 ==> 0
% 0.81/1.22 1 ==> 1
% 0.81/1.22 end
% 0.81/1.22
% 0.81/1.22 eqswap: (9237) {G1,W6,D2,L2,V1,M2} { ! push = X, alpha22( X, n2 ) }.
% 0.81/1.22 parent0[0]: (194) {G1,W6,D2,L2,V1,M2} Q(120) { ! X = push, alpha22( X, n2 )
% 0.81/1.22 }.
% 0.81/1.22 substitution0:
% 0.81/1.22 X := X
% 0.81/1.22 end
% 0.81/1.22
% 0.81/1.22 eqrefl: (9238) {G0,W3,D2,L1,V0,M1} { alpha22( push, n2 ) }.
% 0.81/1.22 parent0[0]: (9237) {G1,W6,D2,L2,V1,M2} { ! push = X, alpha22( X, n2 ) }.
% 0.81/1.22 substitution0:
% 0.81/1.22 X := push
% 0.81/1.22 end
% 0.81/1.22
% 0.81/1.22 subsumption: (195) {G2,W3,D2,L1,V0,M1} Q(194) { alpha22( push, n2 ) }.
% 0.81/1.22 parent0: (9238) {G0,W3,D2,L1,V0,M1} { alpha22( push, n2 ) }.
% 0.81/1.22 substitution0:
% 0.81/1.22 end
% 0.81/1.22 permutation0:
% 0.81/1.22 0 ==> 0
% 0.81/1.22 end
% 0.81/1.22
% 0.81/1.22 eqswap: (9239) {G0,W9,D2,L3,V2,M3} { ! pull = X, ! Y = n2, alpha19( X, Y )
% 0.81/1.22 }.
% 0.81/1.22 parent0[0]: (123) {G0,W9,D2,L3,V2,M3} I { ! X = pull, ! Y = n2, alpha19( X
% 0.81/1.22 , Y ) }.
% 0.81/1.22 substitution0:
% 0.81/1.22 X := X
% 0.81/1.22 Y := Y
% 0.81/1.22 end
% 0.81/1.22
% 0.81/1.22 eqrefl: (9243) {G0,W6,D2,L2,V1,M2} { ! pull = X, alpha19( X, n2 ) }.
% 0.81/1.22 parent0[1]: (9239) {G0,W9,D2,L3,V2,M3} { ! pull = X, ! Y = n2, alpha19( X
% 0.81/1.22 , Y ) }.
% 0.81/1.22 substitution0:
% 0.81/1.22 X := X
% 0.81/1.22 Y := n2
% 0.81/1.22 end
% 0.81/1.22
% 0.81/1.22 eqswap: (9244) {G0,W6,D2,L2,V1,M2} { ! X = pull, alpha19( X, n2 ) }.
% 0.81/1.22 parent0[0]: (9243) {G0,W6,D2,L2,V1,M2} { ! pull = X, alpha19( X, n2 ) }.
% 0.81/1.22 substitution0:
% 0.81/1.22 X := X
% 0.81/1.22 end
% 0.81/1.22
% 0.81/1.22 subsumption: (197) {G1,W6,D2,L2,V1,M2} Q(123) { ! X = pull, alpha19( X, n2
% 0.81/1.22 ) }.
% 0.81/1.22 parent0: (9244) {G0,W6,D2,L2,V1,M2} { ! X = pull, alpha19( X, n2 ) }.
% 0.81/1.22 substitution0:
% 0.81/1.22 X := X
% 0.81/1.22 end
% 0.81/1.22 permutation0:
% 0.81/1.22 0 ==> 0
% 0.81/1.22 1 ==> 1
% 0.81/1.22 end
% 0.81/1.22
% 0.81/1.22 eqswap: (9246) {G1,W6,D2,L2,V1,M2} { ! pull = X, alpha19( X, n2 ) }.
% 0.81/1.22 parent0[0]: (197) {G1,W6,D2,L2,V1,M2} Q(123) { ! X = pull, alpha19( X, n2 )
% 0.81/1.22 }.
% 0.81/1.22 substitution0:
% 0.81/1.22 X := X
% 0.81/1.22 end
% 0.81/1.22
% 0.81/1.22 eqrefl: (9247) {G0,W3,D2,L1,V0,M1} { alpha19( pull, n2 ) }.
% 0.81/1.22 parent0[0]: (9246) {G1,W6,D2,L2,V1,M2} { ! pull = X, alpha19( X, n2 ) }.
% 0.81/1.22 substitution0:
% 0.81/1.22 X := pull
% 0.81/1.22 end
% 0.81/1.22
% 0.81/1.22 subsumption: (198) {G2,W3,D2,L1,V0,M1} Q(197) { alpha19( pull, n2 ) }.
% 0.81/1.22 parent0: (9247) {G0,W3,D2,L1,V0,M1} { alpha19( pull, n2 ) }.
% 0.81/1.22 substitution0:
% 0.81/1.22 end
% 0.81/1.22 permutation0:
% 0.81/1.22 0 ==> 0
% 0.81/1.22 end
% 0.81/1.22
% 0.81/1.22 resolution: (9248) {G1,W3,D2,L1,V0,M1} { alpha16( push, n2 ) }.
% 0.81/1.22 parent0[0]: (117) {G0,W6,D2,L2,V2,M2} I { ! alpha22( X, Y ), alpha16( X, Y
% 0.81/1.22 ) }.
% 0.81/1.22 parent1[0]: (195) {G2,W3,D2,L1,V0,M1} Q(194) { alpha22( push, n2 ) }.
% 0.81/1.22 substitution0:
% 0.81/1.22 X := push
% 0.81/1.22 Y := n2
% 0.81/1.22 end
% 0.81/1.22 substitution1:
% 0.81/1.22 end
% 0.81/1.22
% 0.81/1.22 subsumption: (990) {G3,W3,D2,L1,V0,M1} R(117,195) { alpha16( push, n2 ) }.
% 0.81/1.22 parent0: (9248) {G1,W3,D2,L1,V0,M1} { alpha16( push, n2 ) }.
% 0.81/1.22 substitution0:
% 0.81/1.22 end
% 0.81/1.22 permutation0:
% 0.81/1.22 0 ==> 0
% 0.81/1.22 end
% 0.81/1.22
% 0.81/1.22 resolution: (9249) {G1,W3,D2,L1,V0,M1} { alpha16( pull, n2 ) }.
% 0.81/1.22 parent0[0]: (116) {G0,W6,D2,L2,V2,M2} I { ! alpha19( X, Y ), alpha16( X, Y
% 0.81/1.22 ) }.
% 0.81/1.22 parent1[0]: (198) {G2,W3,D2,L1,V0,M1} Q(197) { alpha19( pull, n2 ) }.
% 0.81/1.22 substitution0:
% 0.81/1.22 X := pull
% 0.81/1.22 Y := n2
% 0.81/1.22 end
% 0.81/1.22 substitution1:
% 0.81/1.22 end
% 0.81/1.22
% 0.81/1.22 subsumption: (991) {G3,W3,D2,L1,V0,M1} R(116,198) { alpha16( pull, n2 ) }.
% 0.81/1.22 parent0: (9249) {G1,W3,D2,L1,V0,M1} { alpha16( pull, n2 ) }.
% 0.81/1.22 substitution0:
% 0.81/1.22 end
% 0.81/1.22 permutation0:
% 0.81/1.22 0 ==> 0
% 0.81/1.22 end
% 0.81/1.22
% 0.81/1.22 resolution: (9250) {G1,W3,D2,L1,V0,M1} { alpha10( pull, n2 ) }.
% 0.81/1.22 parent0[0]: (114) {G0,W6,D2,L2,V2,M2} I { ! alpha16( X, Y ), alpha10( X, Y
% 0.81/1.22 ) }.
% 0.81/1.22 parent1[0]: (991) {G3,W3,D2,L1,V0,M1} R(116,198) { alpha16( pull, n2 ) }.
% 0.81/1.22 substitution0:
% 0.81/1.22 X := pull
% 0.81/1.22 Y := n2
% 0.81/1.22 end
% 0.81/1.22 substitution1:
% 0.81/1.22 end
% 0.81/1.22
% 0.81/1.22 subsumption: (992) {G4,W3,D2,L1,V0,M1} R(114,991) { alpha10( pull, n2 ) }.
% 0.81/1.22 parent0: (9250) {G1,W3,D2,L1,V0,M1} { alpha10( pull, n2 ) }.
% 0.81/1.22 substitution0:
% 0.81/1.22 end
% 0.81/1.22 permutation0:
% 0.81/1.22 0 ==> 0
% 0.81/1.22 end
% 0.81/1.22
% 0.81/1.22 resolution: (9251) {G1,W3,D2,L1,V0,M1} { alpha10( push, n2 ) }.
% 0.81/1.22 parent0[0]: (114) {G0,W6,D2,L2,V2,M2} I { ! alpha16( X, Y ), alpha10( X, Y
% 0.81/1.22 ) }.
% 0.81/1.22 parent1[0]: (990) {G3,W3,D2,L1,V0,M1} R(117,195) { alpha16( push, n2 ) }.
% 0.81/1.22 substitution0:
% 0.81/1.22 X := push
% 0.81/1.22 Y := n2
% 0.81/1.22 end
% 0.81/1.22 substitution1:
% 0.81/1.22 end
% 0.81/1.22
% 0.81/1.22 subsumption: (994) {G4,W3,D2,L1,V0,M1} R(114,990) { alpha10( push, n2 ) }.
% 0.81/1.22 parent0: (9251) {G1,W3,D2,L1,V0,M1} { alpha10( push, n2 ) }.
% 0.81/1.22 substitution0:
% 0.81/1.22 end
% 0.81/1.22 permutation0:
% 0.81/1.22 0 ==> 0
% 0.81/1.22 end
% 0.81/1.22
% 0.81/1.22 resolution: (9252) {G1,W3,D2,L1,V0,M1} { happens( push, n2 ) }.
% 0.81/1.22 parent0[0]: (111) {G0,W6,D2,L2,V2,M2} I { ! alpha10( X, Y ), happens( X, Y
% 0.81/1.22 ) }.
% 0.81/1.22 parent1[0]: (994) {G4,W3,D2,L1,V0,M1} R(114,990) { alpha10( push, n2 ) }.
% 0.81/1.22 substitution0:
% 0.81/1.22 X := push
% 0.81/1.22 Y := n2
% 0.81/1.22 end
% 0.81/1.22 substitution1:
% 0.81/1.22 end
% 0.81/1.22
% 0.81/1.22 subsumption: (1001) {G5,W3,D2,L1,V0,M1} R(111,994) { happens( push, n2 )
% 0.81/1.22 }.
% 0.81/1.22 parent0: (9252) {G1,W3,D2,L1,V0,M1} { happens( push, n2 ) }.
% 0.81/1.22 substitution0:
% 0.81/1.22 end
% 0.81/1.22 permutation0:
% 0.81/1.22 0 ==> 0
% 0.81/1.22 end
% 0.81/1.22
% 0.81/1.22 resolution: (9253) {G1,W3,D2,L1,V0,M1} { happens( pull, n2 ) }.
% 0.81/1.22 parent0[0]: (111) {G0,W6,D2,L2,V2,M2} I { ! alpha10( X, Y ), happens( X, Y
% 0.81/1.22 ) }.
% 0.81/1.22 parent1[0]: (992) {G4,W3,D2,L1,V0,M1} R(114,991) { alpha10( pull, n2 ) }.
% 0.81/1.22 substitution0:
% 0.81/1.22 X := pull
% 0.81/1.22 Y := n2
% 0.81/1.22 end
% 0.81/1.22 substitution1:
% 0.81/1.22 end
% 0.81/1.22
% 0.81/1.22 subsumption: (1002) {G5,W3,D2,L1,V0,M1} R(111,992) { happens( pull, n2 )
% 0.81/1.22 }.
% 0.81/1.22 parent0: (9253) {G1,W3,D2,L1,V0,M1} { happens( pull, n2 ) }.
% 0.81/1.22 substitution0:
% 0.81/1.22 end
% 0.81/1.22 permutation0:
% 0.81/1.22 0 ==> 0
% 0.81/1.22 end
% 0.81/1.22
% 0.81/1.22 eqswap: (9254) {G0,W9,D2,L3,V2,M3} { ! spinning = X, ! happens( push, Y )
% 0.81/1.22 , alpha11( X, Y ) }.
% 0.81/1.22 parent0[0]: (50) {G0,W9,D2,L3,V2,M3} I { ! X = spinning, ! happens( push, Y
% 0.81/1.22 ), alpha11( X, Y ) }.
% 0.81/1.22 substitution0:
% 0.81/1.22 X := X
% 0.81/1.22 Y := Y
% 0.81/1.22 end
% 0.81/1.22
% 0.81/1.22 resolution: (9255) {G1,W6,D2,L2,V1,M2} { ! spinning = X, alpha11( X, n2 )
% 0.81/1.22 }.
% 0.81/1.22 parent0[1]: (9254) {G0,W9,D2,L3,V2,M3} { ! spinning = X, ! happens( push,
% 0.81/1.22 Y ), alpha11( X, Y ) }.
% 0.81/1.22 parent1[0]: (1001) {G5,W3,D2,L1,V0,M1} R(111,994) { happens( push, n2 ) }.
% 0.81/1.22 substitution0:
% 0.81/1.22 X := X
% 0.81/1.22 Y := n2
% 0.81/1.22 end
% 0.81/1.22 substitution1:
% 0.81/1.22 end
% 0.81/1.22
% 0.81/1.22 eqswap: (9256) {G1,W6,D2,L2,V1,M2} { ! X = spinning, alpha11( X, n2 ) }.
% 0.81/1.22 parent0[0]: (9255) {G1,W6,D2,L2,V1,M2} { ! spinning = X, alpha11( X, n2 )
% 0.81/1.22 }.
% 0.81/1.22 substitution0:
% 0.81/1.22 X := X
% 0.81/1.22 end
% 0.81/1.22
% 0.81/1.22 subsumption: (2443) {G6,W6,D2,L2,V1,M2} R(50,1001) { ! X = spinning,
% 0.81/1.22 alpha11( X, n2 ) }.
% 0.81/1.22 parent0: (9256) {G1,W6,D2,L2,V1,M2} { ! X = spinning, alpha11( X, n2 ) }.
% 0.81/1.22 substitution0:
% 0.81/1.22 X := X
% 0.81/1.22 end
% 0.81/1.22 permutation0:
% 0.81/1.22 0 ==> 0
% 0.81/1.22 1 ==> 1
% 0.81/1.22 end
% 0.81/1.22
% 0.81/1.22 eqswap: (9257) {G6,W6,D2,L2,V1,M2} { ! spinning = X, alpha11( X, n2 ) }.
% 0.81/1.22 parent0[0]: (2443) {G6,W6,D2,L2,V1,M2} R(50,1001) { ! X = spinning, alpha11
% 0.81/1.22 ( X, n2 ) }.
% 0.81/1.22 substitution0:
% 0.81/1.22 X := X
% 0.81/1.22 end
% 0.81/1.22
% 0.81/1.22 eqrefl: (9258) {G0,W3,D2,L1,V0,M1} { alpha11( spinning, n2 ) }.
% 0.81/1.22 parent0[0]: (9257) {G6,W6,D2,L2,V1,M2} { ! spinning = X, alpha11( X, n2 )
% 0.81/1.22 }.
% 0.81/1.22 substitution0:
% 0.81/1.22 X := spinning
% 0.81/1.22 end
% 0.81/1.22
% 0.81/1.22 subsumption: (2491) {G7,W3,D2,L1,V0,M1} Q(2443) { alpha11( spinning, n2 )
% 0.81/1.22 }.
% 0.81/1.22 parent0: (9258) {G0,W3,D2,L1,V0,M1} { alpha11( spinning, n2 ) }.
% 0.81/1.22 substitution0:
% 0.81/1.22 end
% 0.81/1.22 permutation0:
% 0.81/1.22 0 ==> 0
% 0.81/1.22 end
% 0.81/1.22
% 0.81/1.22 eqswap: (9259) {G0,W10,D2,L3,V3,M3} { ! pull = X, ! alpha11( Y, Z ),
% 0.81/1.22 alpha23( X, Y, Z ) }.
% 0.81/1.22 parent0[0]: (41) {G0,W10,D2,L3,V3,M3} I { ! X = pull, ! alpha11( Y, Z ),
% 0.81/1.22 alpha23( X, Y, Z ) }.
% 0.81/1.22 substitution0:
% 0.81/1.22 X := X
% 0.81/1.22 Y := Y
% 0.81/1.22 Z := Z
% 0.81/1.22 end
% 0.81/1.22
% 0.81/1.22 resolution: (9260) {G1,W7,D2,L2,V1,M2} { ! pull = X, alpha23( X, spinning
% 0.81/1.22 , n2 ) }.
% 0.81/1.22 parent0[1]: (9259) {G0,W10,D2,L3,V3,M3} { ! pull = X, ! alpha11( Y, Z ),
% 0.81/1.22 alpha23( X, Y, Z ) }.
% 0.81/1.22 parent1[0]: (2491) {G7,W3,D2,L1,V0,M1} Q(2443) { alpha11( spinning, n2 )
% 0.81/1.22 }.
% 0.81/1.22 substitution0:
% 0.81/1.22 X := X
% 0.81/1.22 Y := spinning
% 0.81/1.22 Z := n2
% 0.81/1.22 end
% 0.81/1.22 substitution1:
% 0.81/1.22 end
% 0.81/1.22
% 0.81/1.22 eqswap: (9261) {G1,W7,D2,L2,V1,M2} { ! X = pull, alpha23( X, spinning, n2
% 0.81/1.22 ) }.
% 0.81/1.22 parent0[0]: (9260) {G1,W7,D2,L2,V1,M2} { ! pull = X, alpha23( X, spinning
% 0.81/1.22 , n2 ) }.
% 0.81/1.22 substitution0:
% 0.81/1.22 X := X
% 0.81/1.22 end
% 0.81/1.22
% 0.81/1.22 subsumption: (2504) {G8,W7,D2,L2,V1,M2} R(2491,41) { ! X = pull, alpha23( X
% 0.81/1.22 , spinning, n2 ) }.
% 0.81/1.22 parent0: (9261) {G1,W7,D2,L2,V1,M2} { ! X = pull, alpha23( X, spinning, n2
% 0.81/1.22 ) }.
% 0.81/1.22 substitution0:
% 0.81/1.22 X := X
% 0.81/1.22 end
% 0.81/1.22 permutation0:
% 0.81/1.22 0 ==> 0
% 0.81/1.22 1 ==> 1
% 0.81/1.22 end
% 0.81/1.22
% 0.81/1.22 eqswap: (9262) {G8,W7,D2,L2,V1,M2} { ! pull = X, alpha23( X, spinning, n2
% 0.81/1.22 ) }.
% 0.81/1.22 parent0[0]: (2504) {G8,W7,D2,L2,V1,M2} R(2491,41) { ! X = pull, alpha23( X
% 0.81/1.22 , spinning, n2 ) }.
% 0.81/1.22 substitution0:
% 0.81/1.22 X := X
% 0.81/1.22 end
% 0.81/1.22
% 0.81/1.22 eqrefl: (9263) {G0,W4,D2,L1,V0,M1} { alpha23( pull, spinning, n2 ) }.
% 0.81/1.22 parent0[0]: (9262) {G8,W7,D2,L2,V1,M2} { ! pull = X, alpha23( X, spinning
% 0.81/1.22 , n2 ) }.
% 0.81/1.22 substitution0:
% 0.81/1.22 X := pull
% 0.81/1.22 end
% 0.81/1.22
% 0.81/1.22 subsumption: (2505) {G9,W4,D2,L1,V0,M1} Q(2504) { alpha23( pull, spinning,
% 0.81/1.22 n2 ) }.
% 0.81/1.22 parent0: (9263) {G0,W4,D2,L1,V0,M1} { alpha23( pull, spinning, n2 ) }.
% 0.81/1.22 substitution0:
% 0.81/1.22 end
% 0.81/1.22 permutation0:
% 0.81/1.22 0 ==> 0
% 0.81/1.22 end
% 0.81/1.22
% 0.81/1.22 resolution: (9264) {G1,W4,D2,L1,V0,M1} { alpha17( pull, spinning, n2 ) }.
% 0.81/1.22 parent0[0]: (38) {G0,W8,D2,L2,V3,M2} I { ! alpha23( X, Y, Z ), alpha17( X,
% 0.81/1.22 Y, Z ) }.
% 0.81/1.22 parent1[0]: (2505) {G9,W4,D2,L1,V0,M1} Q(2504) { alpha23( pull, spinning,
% 0.81/1.22 n2 ) }.
% 0.81/1.22 substitution0:
% 0.81/1.22 X := pull
% 0.81/1.22 Y := spinning
% 0.81/1.22 Z := n2
% 0.81/1.22 end
% 0.81/1.22 substitution1:
% 0.81/1.22 end
% 0.81/1.22
% 0.81/1.22 subsumption: (2506) {G10,W4,D2,L1,V0,M1} R(2505,38) { alpha17( pull,
% 0.81/1.22 spinning, n2 ) }.
% 0.81/1.22 parent0: (9264) {G1,W4,D2,L1,V0,M1} { alpha17( pull, spinning, n2 ) }.
% 0.81/1.22 substitution0:
% 0.81/1.22 end
% 0.81/1.22 permutation0:
% 0.81/1.22 0 ==> 0
% 0.81/1.22 end
% 0.81/1.22
% 0.81/1.22 resolution: (9265) {G1,W4,D2,L1,V0,M1} { initiates( pull, spinning, n2 )
% 0.81/1.22 }.
% 0.81/1.22 parent0[0]: (35) {G0,W8,D2,L2,V3,M2} I { ! alpha17( X, Y, Z ), initiates( X
% 0.81/1.22 , Y, Z ) }.
% 0.81/1.22 parent1[0]: (2506) {G10,W4,D2,L1,V0,M1} R(2505,38) { alpha17( pull,
% 0.81/1.22 spinning, n2 ) }.
% 0.81/1.22 substitution0:
% 0.81/1.22 X := pull
% 0.81/1.22 Y := spinning
% 0.81/1.22 Z := n2
% 0.81/1.22 end
% 0.81/1.22 substitution1:
% 0.81/1.22 end
% 0.81/1.22
% 0.81/1.22 subsumption: (2507) {G11,W4,D2,L1,V0,M1} R(2506,35) { initiates( pull,
% 0.81/1.22 spinning, n2 ) }.
% 0.81/1.22 parent0: (9265) {G1,W4,D2,L1,V0,M1} { initiates( pull, spinning, n2 ) }.
% 0.81/1.22 substitution0:
% 0.81/1.22 end
% 0.81/1.22 permutation0:
% 0.81/1.22 0 ==> 0
% 0.81/1.22 end
% 0.81/1.22
% 0.81/1.22 resolution: (9266) {G1,W8,D3,L2,V0,M2} { ! happens( pull, n2 ), holdsAt(
% 0.81/1.22 spinning, plus( n2, n1 ) ) }.
% 0.81/1.22 parent0[1]: (28) {G0,W12,D3,L3,V3,M3} I { ! happens( Z, X ), ! initiates( Z
% 0.81/1.22 , Y, X ), holdsAt( Y, plus( X, n1 ) ) }.
% 0.81/1.22 parent1[0]: (2507) {G11,W4,D2,L1,V0,M1} R(2506,35) { initiates( pull,
% 0.81/1.22 spinning, n2 ) }.
% 0.81/1.22 substitution0:
% 0.81/1.22 X := n2
% 0.81/1.22 Y := spinning
% 0.81/1.22 Z := pull
% 0.81/1.22 end
% 0.81/1.22 substitution1:
% 0.81/1.22 end
% 0.81/1.22
% 0.81/1.22 resolution: (9267) {G2,W5,D3,L1,V0,M1} { holdsAt( spinning, plus( n2, n1 )
% 0.81/1.22 ) }.
% 0.81/1.22 parent0[0]: (9266) {G1,W8,D3,L2,V0,M2} { ! happens( pull, n2 ), holdsAt(
% 0.81/1.22 spinning, plus( n2, n1 ) ) }.
% 0.81/1.22 parent1[0]: (1002) {G5,W3,D2,L1,V0,M1} R(111,992) { happens( pull, n2 ) }.
% 0.81/1.22 substitution0:
% 0.81/1.22 end
% 0.81/1.22 substitution1:
% 0.81/1.22 end
% 0.81/1.22
% 0.81/1.22 subsumption: (2760) {G12,W5,D3,L1,V0,M1} R(2507,28);r(1002) { holdsAt(
% 0.81/1.22 spinning, plus( n2, n1 ) ) }.
% 0.81/1.22 parent0: (9267) {G2,W5,D3,L1,V0,M1} { holdsAt( spinning, plus( n2, n1 ) )
% 0.81/1.22 }.
% 0.81/1.22 substitution0:
% 0.81/1.22 end
% 0.81/1.22 permutation0:
% 0.81/1.22 0 ==> 0
% 0.81/1.22 end
% 0.81/1.22
% 0.81/1.22 paramod: (9269) {G1,W5,D3,L1,V0,M1} { holdsAt( spinning, plus( n1, n2 ) )
% 0.81/1.22 }.
% 0.81/1.22 parent0[0]: (144) {G0,W7,D3,L1,V2,M1} I { plus( X, Y ) = plus( Y, X ) }.
% 0.81/1.22 parent1[0; 2]: (2760) {G12,W5,D3,L1,V0,M1} R(2507,28);r(1002) { holdsAt(
% 0.81/1.22 spinning, plus( n2, n1 ) ) }.
% 0.81/1.22 substitution0:
% 0.81/1.22 X := n2
% 0.81/1.22 Y := n1
% 0.81/1.22 end
% 0.81/1.22 substitution1:
% 0.81/1.22 end
% 0.81/1.22
% 0.81/1.22 paramod: (9271) {G1,W3,D2,L1,V0,M1} { holdsAt( spinning, n3 ) }.
% 0.81/1.22 parent0[0]: (139) {G0,W5,D3,L1,V0,M1} I { plus( n1, n2 ) ==> n3 }.
% 0.81/1.22 parent1[0; 2]: (9269) {G1,W5,D3,L1,V0,M1} { holdsAt( spinning, plus( n1,
% 0.81/1.22 n2 ) ) }.
% 0.81/1.22 substitution0:
% 0.81/1.22 end
% 0.81/1.22 substitution1:
% 0.81/1.22 end
% 0.81/1.22
% 0.81/1.22 resolution: (9272) {G1,W0,D0,L0,V0,M0} { }.
% 0.81/1.22 parent0[0]: (174) {G0,W3,D2,L1,V0,M1} I { ! holdsAt( spinning, n3 ) }.
% 0.81/1.22 parent1[0]: (9271) {G1,W3,D2,L1,V0,M1} { holdsAt( spinning, n3 ) }.
% 0.81/1.22 substitution0:
% 0.81/1.22 end
% 0.81/1.22 substitution1:
% 0.81/1.22 end
% 0.81/1.22
% 0.81/1.22 subsumption: (8571) {G13,W0,D0,L0,V0,M0} P(144,2760);d(139);r(174) { }.
% 0.81/1.22 parent0: (9272) {G1,W0,D0,L0,V0,M0} { }.
% 0.81/1.22 substitution0:
% 0.81/1.22 end
% 0.81/1.22 permutation0:
% 0.81/1.22 end
% 0.81/1.22
% 0.81/1.22 Proof check complete!
% 0.81/1.22
% 0.81/1.22 Memory use:
% 0.81/1.22
% 0.81/1.22 space for terms: 101056
% 0.81/1.22 space for clauses: 311467
% 0.81/1.22
% 0.81/1.22
% 0.81/1.22 clauses generated: 12295
% 0.81/1.22 clauses kept: 8572
% 0.81/1.22 clauses selected: 507
% 0.81/1.22 clauses deleted: 34
% 0.81/1.22 clauses inuse deleted: 0
% 0.81/1.22
% 0.81/1.22 subsentry: 21511
% 0.81/1.22 literals s-matched: 16287
% 0.81/1.22 literals matched: 16223
% 0.81/1.22 full subsumption: 1885
% 0.81/1.22
% 0.81/1.22 checksum: -204413033
% 0.81/1.22
% 0.81/1.22
% 0.81/1.22 Bliksem ended
%------------------------------------------------------------------------------