TSTP Solution File: LCL656+1.005 by Bliksem---1.12
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- Process Solution
%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : LCL656+1.005 : TPTP v8.1.0. Released v4.0.0.
% 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 : Sun Jul 17 07:55:57 EDT 2022
% Result : Theorem 0.74s 1.24s
% Output : Refutation 0.74s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : LCL656+1.005 : TPTP v8.1.0. Released v4.0.0.
% 0.03/0.12 % Command : bliksem %s
% 0.14/0.33 % Computer : n013.cluster.edu
% 0.14/0.33 % Model : x86_64 x86_64
% 0.14/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.33 % Memory : 8042.1875MB
% 0.14/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.33 % CPULimit : 300
% 0.14/0.33 % DateTime : Mon Jul 4 18:50:44 EDT 2022
% 0.14/0.34 % CPUTime :
% 0.71/1.11 *** allocated 10000 integers for termspace/termends
% 0.71/1.11 *** allocated 10000 integers for clauses
% 0.71/1.11 *** allocated 10000 integers for justifications
% 0.71/1.11 Bliksem 1.12
% 0.71/1.11
% 0.71/1.11
% 0.71/1.11 Automatic Strategy Selection
% 0.71/1.11
% 0.71/1.11
% 0.71/1.11 Clauses:
% 0.71/1.11
% 0.71/1.11 { r1( X, X ) }.
% 0.71/1.11 { ! r1( skol1, X ), ! r1( X, Y ), ! r1( Y, Z ), ! r1( Z, T ), ! r1( T, U )
% 0.71/1.11 , p3( U ) }.
% 0.71/1.11 { ! r1( skol1, X ), ! r1( X, Y ), ! r1( Y, Z ), ! r1( Z, T ), ! r1( T, U )
% 0.71/1.11 , alpha8( U ) }.
% 0.71/1.11 { ! r1( skol1, X ), ! r1( X, Y ), ! r1( Y, Z ), ! r1( Z, T ), ! r1( T, U )
% 0.71/1.11 , ! r1( U, W ), ! p5( W ), ! p104( W ), p5( U ), ! p104( U ) }.
% 0.71/1.11 { ! r1( skol1, X ), ! r1( X, Y ), ! r1( Y, Z ), ! r1( Z, T ), ! r1( T, U )
% 0.71/1.11 , ! r1( U, W ), p5( W ), ! p104( W ), ! p5( U ), ! p104( U ) }.
% 0.71/1.11 { ! r1( skol1, X ), ! r1( X, Y ), ! r1( Y, Z ), ! r1( Z, T ), ! r1( T, U )
% 0.71/1.11 , ! r1( U, W ), ! p4( W ), ! p103( W ), p4( U ), ! p103( U ) }.
% 0.71/1.11 { ! r1( skol1, X ), ! r1( X, Y ), ! r1( Y, Z ), ! r1( Z, T ), ! r1( T, U )
% 0.71/1.11 , ! r1( U, W ), p4( W ), ! p103( W ), ! p4( U ), ! p103( U ) }.
% 0.71/1.11 { ! r1( skol1, X ), ! r1( X, Y ), ! r1( Y, Z ), ! r1( Z, T ), ! r1( T, U )
% 0.71/1.11 , ! r1( U, W ), ! p3( W ), ! p102( W ), p3( U ), ! p102( U ) }.
% 0.71/1.11 { ! r1( skol1, X ), ! r1( X, Y ), ! r1( Y, Z ), ! r1( Z, T ), ! r1( T, U )
% 0.71/1.11 , ! r1( U, W ), p3( W ), ! p102( W ), ! p3( U ), ! p102( U ) }.
% 0.71/1.11 { ! r1( skol1, X ), ! r1( X, Y ), ! r1( Y, Z ), ! r1( Z, T ), ! r1( T, U )
% 0.71/1.11 , ! r1( U, W ), ! p2( W ), ! p101( W ), p2( U ), ! p101( U ) }.
% 0.71/1.11 { ! r1( skol1, X ), ! r1( X, Y ), ! r1( Y, Z ), ! r1( Z, T ), ! r1( T, U )
% 0.71/1.11 , ! r1( U, W ), p2( W ), ! p101( W ), ! p2( U ), ! p101( U ) }.
% 0.71/1.11 { ! r1( skol1, X ), ! r1( X, Y ), ! r1( Y, Z ), ! r1( Z, T ), ! r1( T, U )
% 0.71/1.11 , ! r1( U, W ), ! p1( W ), ! p100( W ), p1( U ), ! p100( U ) }.
% 0.71/1.11 { ! r1( skol1, X ), ! r1( X, Y ), ! r1( Y, Z ), ! r1( Z, T ), ! r1( T, U )
% 0.71/1.11 , ! r1( U, W ), p1( W ), ! p100( W ), ! p1( U ), ! p100( U ) }.
% 0.71/1.11 { ! r1( skol1, X ), ! r1( X, Y ), ! r1( Y, Z ), ! r1( Z, T ), ! r1( T, U )
% 0.71/1.11 , p105( U ), ! p106( U ) }.
% 0.71/1.11 { ! r1( skol1, X ), ! r1( X, Y ), ! r1( Y, Z ), ! r1( Z, T ), ! r1( T, U )
% 0.71/1.11 , p104( U ), ! p105( U ) }.
% 0.71/1.11 { ! r1( skol1, X ), ! r1( X, Y ), ! r1( Y, Z ), ! r1( Z, T ), ! r1( T, U )
% 0.71/1.11 , p103( U ), ! p104( U ) }.
% 0.71/1.11 { ! r1( skol1, X ), ! r1( X, Y ), ! r1( Y, Z ), ! r1( Z, T ), ! r1( T, U )
% 0.71/1.11 , p102( U ), ! p103( U ) }.
% 0.71/1.11 { ! r1( skol1, X ), ! r1( X, Y ), ! r1( Y, Z ), ! r1( Z, T ), ! r1( T, U )
% 0.71/1.11 , p101( U ), ! p102( U ) }.
% 0.71/1.11 { ! r1( skol1, X ), ! r1( X, Y ), ! r1( Y, Z ), ! r1( Z, T ), ! r1( T, U )
% 0.71/1.11 , p100( U ), ! p101( U ) }.
% 0.71/1.11 { ! p101( skol1 ) }.
% 0.71/1.11 { p100( skol1 ) }.
% 0.71/1.11 { ! alpha8( X ), alpha2( X ) }.
% 0.71/1.11 { ! alpha8( X ), alpha4( X ) }.
% 0.71/1.11 { ! alpha2( X ), ! alpha4( X ), alpha8( X ) }.
% 0.71/1.11 { ! alpha4( X ), alpha9( X ), ! p105( X ) }.
% 0.71/1.11 { ! alpha9( X ), alpha4( X ) }.
% 0.71/1.11 { p105( X ), alpha4( X ) }.
% 0.71/1.11 { ! alpha9( X ), alpha15( X ) }.
% 0.71/1.11 { ! alpha9( X ), alpha21( X ) }.
% 0.71/1.11 { ! alpha15( X ), ! alpha21( X ), alpha9( X ) }.
% 0.71/1.11 { ! alpha21( X ), alpha28( X ), ! p6( X ) }.
% 0.71/1.11 { ! alpha28( X ), alpha21( X ) }.
% 0.71/1.11 { p6( X ), alpha21( X ) }.
% 0.71/1.11 { ! alpha28( X ), ! r1( X, Y ), p6( Y ), ! p105( Y ) }.
% 0.71/1.11 { ! p6( skol2( Y ) ), alpha28( X ) }.
% 0.71/1.11 { p105( skol2( Y ) ), alpha28( X ) }.
% 0.71/1.11 { r1( X, skol2( X ) ), alpha28( X ) }.
% 0.71/1.11 { ! alpha15( X ), alpha22( X ), p6( X ) }.
% 0.71/1.11 { ! alpha22( X ), alpha15( X ) }.
% 0.71/1.11 { ! p6( X ), alpha15( X ) }.
% 0.71/1.11 { ! alpha22( X ), ! r1( X, Y ), ! p6( Y ), ! p105( Y ) }.
% 0.71/1.11 { p6( skol3( Y ) ), alpha22( X ) }.
% 0.71/1.11 { p105( skol3( Y ) ), alpha22( X ) }.
% 0.71/1.11 { r1( X, skol3( X ) ), alpha22( X ) }.
% 0.71/1.11 { ! alpha2( X ), alpha5( X ) }.
% 0.71/1.11 { ! alpha2( X ), alpha10( X ) }.
% 0.71/1.11 { ! alpha5( X ), ! alpha10( X ), alpha2( X ) }.
% 0.71/1.11 { ! alpha10( X ), alpha16( X ), ! p100( X ) }.
% 0.71/1.11 { ! alpha16( X ), alpha10( X ) }.
% 0.71/1.11 { p100( X ), alpha10( X ) }.
% 0.71/1.11 { ! alpha16( X ), alpha23( X ), p101( X ) }.
% 0.71/1.11 { ! alpha23( X ), alpha16( X ) }.
% 0.71/1.11 { ! p101( X ), alpha16( X ) }.
% 0.71/1.11 { ! alpha23( X ), alpha29( X ) }.
% 0.71/1.11 { ! alpha23( X ), alpha36( X ) }.
% 0.71/1.11 { ! alpha29( X ), ! alpha36( X ), alpha23( X ) }.
% 0.71/1.11 { ! alpha36( X ), p101( skol4( Y ) ) }.
% 0.71/1.11 { ! alpha36( X ), alpha44( X, skol4( X ) ) }.
% 0.71/1.11 { ! alpha44( X, Y ), ! p101( Y ), alpha36( X ) }.
% 0.71/1.11 { ! alpha44( X, Y ), r1( X, Y ) }.
% 0.71/1.11 { ! alpha44( X, Y ), p2( Y ) }.
% 0.71/1.11 { ! alpha44( X, Y ), ! p102( Y ) }.
% 0.71/1.11 { ! r1( X, Y ), ! p2( Y ), p102( Y ), alpha44( X, Y ) }.
% 0.71/1.11 { ! alpha29( X ), p101( skol5( Y ) ) }.
% 0.71/1.11 { ! alpha29( X ), alpha37( X, skol5( X ) ) }.
% 0.71/1.11 { ! alpha37( X, Y ), ! p101( Y ), alpha29( X ) }.
% 0.71/1.11 { ! alpha37( X, Y ), r1( X, Y ) }.
% 0.71/1.11 { ! alpha37( X, Y ), ! p2( Y ) }.
% 0.71/1.11 { ! alpha37( X, Y ), ! p102( Y ) }.
% 0.71/1.11 { ! r1( X, Y ), p2( Y ), p102( Y ), alpha37( X, Y ) }.
% 0.71/1.11 { ! alpha5( X ), alpha1( X ) }.
% 0.71/1.11 { ! alpha5( X ), alpha11( X ) }.
% 0.71/1.11 { ! alpha1( X ), ! alpha11( X ), alpha5( X ) }.
% 0.71/1.11 { ! alpha11( X ), alpha17( X ), ! p101( X ) }.
% 0.71/1.11 { ! alpha17( X ), alpha11( X ) }.
% 0.71/1.11 { p101( X ), alpha11( X ) }.
% 0.71/1.11 { ! alpha17( X ), alpha24( X ), p102( X ) }.
% 0.71/1.11 { ! alpha24( X ), alpha17( X ) }.
% 0.71/1.11 { ! p102( X ), alpha17( X ) }.
% 0.71/1.11 { ! alpha24( X ), alpha30( X ) }.
% 0.71/1.11 { ! alpha24( X ), alpha38( X ) }.
% 0.71/1.11 { ! alpha30( X ), ! alpha38( X ), alpha24( X ) }.
% 0.71/1.11 { ! alpha38( X ), p102( skol6( Y ) ) }.
% 0.71/1.11 { ! alpha38( X ), alpha45( X, skol6( X ) ) }.
% 0.71/1.11 { ! alpha45( X, Y ), ! p102( Y ), alpha38( X ) }.
% 0.71/1.11 { ! alpha45( X, Y ), r1( X, Y ) }.
% 0.71/1.11 { ! alpha45( X, Y ), p3( Y ) }.
% 0.71/1.11 { ! alpha45( X, Y ), ! p103( Y ) }.
% 0.71/1.11 { ! r1( X, Y ), ! p3( Y ), p103( Y ), alpha45( X, Y ) }.
% 0.71/1.11 { ! alpha30( X ), p102( skol7( Y ) ) }.
% 0.71/1.11 { ! alpha30( X ), alpha39( X, skol7( X ) ) }.
% 0.71/1.11 { ! alpha39( X, Y ), ! p102( Y ), alpha30( X ) }.
% 0.71/1.11 { ! alpha39( X, Y ), r1( X, Y ) }.
% 0.71/1.11 { ! alpha39( X, Y ), ! p3( Y ) }.
% 0.71/1.11 { ! alpha39( X, Y ), ! p103( Y ) }.
% 0.71/1.11 { ! r1( X, Y ), p3( Y ), p103( Y ), alpha39( X, Y ) }.
% 0.71/1.11 { ! alpha1( X ), alpha3( X ) }.
% 0.71/1.11 { ! alpha1( X ), alpha6( X ) }.
% 0.71/1.11 { ! alpha3( X ), ! alpha6( X ), alpha1( X ) }.
% 0.71/1.11 { ! alpha6( X ), alpha12( X ), ! p102( X ) }.
% 0.71/1.11 { ! alpha12( X ), alpha6( X ) }.
% 0.71/1.11 { p102( X ), alpha6( X ) }.
% 0.71/1.11 { ! alpha12( X ), alpha18( X ), p103( X ) }.
% 0.71/1.11 { ! alpha18( X ), alpha12( X ) }.
% 0.71/1.11 { ! p103( X ), alpha12( X ) }.
% 0.71/1.11 { ! alpha18( X ), alpha25( X ) }.
% 0.71/1.11 { ! alpha18( X ), alpha31( X ) }.
% 0.71/1.11 { ! alpha25( X ), ! alpha31( X ), alpha18( X ) }.
% 0.71/1.11 { ! alpha31( X ), p103( skol8( Y ) ) }.
% 0.71/1.11 { ! alpha31( X ), alpha40( X, skol8( X ) ) }.
% 0.71/1.11 { ! alpha40( X, Y ), ! p103( Y ), alpha31( X ) }.
% 0.71/1.11 { ! alpha40( X, Y ), r1( X, Y ) }.
% 0.71/1.11 { ! alpha40( X, Y ), p4( Y ) }.
% 0.71/1.11 { ! alpha40( X, Y ), ! p104( Y ) }.
% 0.71/1.11 { ! r1( X, Y ), ! p4( Y ), p104( Y ), alpha40( X, Y ) }.
% 0.71/1.11 { ! alpha25( X ), p103( skol9( Y ) ) }.
% 0.71/1.11 { ! alpha25( X ), alpha32( X, skol9( X ) ) }.
% 0.71/1.11 { ! alpha32( X, Y ), ! p103( Y ), alpha25( X ) }.
% 0.71/1.11 { ! alpha32( X, Y ), r1( X, Y ) }.
% 0.71/1.11 { ! alpha32( X, Y ), ! p4( Y ) }.
% 0.71/1.11 { ! alpha32( X, Y ), ! p104( Y ) }.
% 0.71/1.11 { ! r1( X, Y ), p4( Y ), p104( Y ), alpha32( X, Y ) }.
% 0.71/1.11 { ! alpha3( X ), alpha7( X ) }.
% 0.71/1.11 { ! alpha3( X ), alpha13( X ) }.
% 0.71/1.11 { ! alpha7( X ), ! alpha13( X ), alpha3( X ) }.
% 0.71/1.11 { ! alpha13( X ), alpha19( X ), ! p103( X ) }.
% 0.71/1.11 { ! alpha19( X ), alpha13( X ) }.
% 0.71/1.11 { p103( X ), alpha13( X ) }.
% 0.71/1.11 { ! alpha19( X ), alpha26( X ), p104( X ) }.
% 0.71/1.11 { ! alpha26( X ), alpha19( X ) }.
% 0.71/1.11 { ! p104( X ), alpha19( X ) }.
% 0.71/1.11 { ! alpha26( X ), alpha33( X ) }.
% 0.71/1.11 { ! alpha26( X ), alpha41( X ) }.
% 0.71/1.11 { ! alpha33( X ), ! alpha41( X ), alpha26( X ) }.
% 0.71/1.11 { ! alpha41( X ), p104( skol10( Y ) ) }.
% 0.71/1.11 { ! alpha41( X ), alpha46( X, skol10( X ) ) }.
% 0.71/1.11 { ! alpha46( X, Y ), ! p104( Y ), alpha41( X ) }.
% 0.71/1.11 { ! alpha46( X, Y ), r1( X, Y ) }.
% 0.71/1.11 { ! alpha46( X, Y ), p5( Y ) }.
% 0.71/1.11 { ! alpha46( X, Y ), ! p105( Y ) }.
% 0.71/1.11 { ! r1( X, Y ), ! p5( Y ), p105( Y ), alpha46( X, Y ) }.
% 0.71/1.11 { ! alpha33( X ), p104( skol11( Y ) ) }.
% 0.71/1.11 { ! alpha33( X ), alpha42( X, skol11( X ) ) }.
% 0.71/1.11 { ! alpha42( X, Y ), ! p104( Y ), alpha33( X ) }.
% 0.71/1.11 { ! alpha42( X, Y ), r1( X, Y ) }.
% 0.71/1.11 { ! alpha42( X, Y ), ! p5( Y ) }.
% 0.71/1.11 { ! alpha42( X, Y ), ! p105( Y ) }.
% 0.71/1.11 { ! r1( X, Y ), p5( Y ), p105( Y ), alpha42( X, Y ) }.
% 0.71/1.11 { ! alpha7( X ), alpha14( X ), ! p104( X ) }.
% 0.71/1.11 { ! alpha14( X ), alpha7( X ) }.
% 0.71/1.11 { p104( X ), alpha7( X ) }.
% 0.71/1.11 { ! alpha14( X ), alpha20( X ), p105( X ) }.
% 0.71/1.11 { ! alpha20( X ), alpha14( X ) }.
% 0.71/1.11 { ! p105( X ), alpha14( X ) }.
% 0.71/1.11 { ! alpha20( X ), alpha27( X ) }.
% 0.71/1.11 { ! alpha20( X ), alpha34( X ) }.
% 0.71/1.11 { ! alpha27( X ), ! alpha34( X ), alpha20( X ) }.
% 0.71/1.11 { ! alpha34( X ), p105( skol12( Y ) ) }.
% 0.71/1.11 { ! alpha34( X ), alpha43( X, skol12( X ) ) }.
% 0.71/1.11 { ! alpha43( X, Y ), ! p105( Y ), alpha34( X ) }.
% 0.71/1.11 { ! alpha43( X, Y ), r1( X, Y ) }.
% 0.71/1.11 { ! alpha43( X, Y ), p6( Y ) }.
% 0.71/1.11 { ! alpha43( X, Y ), ! p106( Y ) }.
% 0.71/1.11 { ! r1( X, Y ), ! p6( Y ), p106( Y ), alpha43( X, Y ) }.
% 0.71/1.11 { ! alpha27( X ), p105( skol13( Y ) ) }.
% 0.74/1.24 { ! alpha27( X ), alpha35( X, skol13( X ) ) }.
% 0.74/1.24 { ! alpha35( X, Y ), ! p105( Y ), alpha27( X ) }.
% 0.74/1.24 { ! alpha35( X, Y ), r1( X, Y ) }.
% 0.74/1.24 { ! alpha35( X, Y ), ! p6( Y ) }.
% 0.74/1.24 { ! alpha35( X, Y ), ! p106( Y ) }.
% 0.74/1.24 { ! r1( X, Y ), p6( Y ), p106( Y ), alpha35( X, Y ) }.
% 0.74/1.24
% 0.74/1.24 percentage equality = 0.000000, percentage horn = 0.835294
% 0.74/1.24 This a non-horn, non-equality problem
% 0.74/1.24
% 0.74/1.24
% 0.74/1.24 Options Used:
% 0.74/1.24
% 0.74/1.24 useres = 1
% 0.74/1.24 useparamod = 0
% 0.74/1.24 useeqrefl = 0
% 0.74/1.24 useeqfact = 0
% 0.74/1.24 usefactor = 1
% 0.74/1.24 usesimpsplitting = 0
% 0.74/1.24 usesimpdemod = 0
% 0.74/1.24 usesimpres = 3
% 0.74/1.24
% 0.74/1.24 resimpinuse = 1000
% 0.74/1.24 resimpclauses = 20000
% 0.74/1.24 substype = standard
% 0.74/1.24 backwardsubs = 1
% 0.74/1.24 selectoldest = 5
% 0.74/1.24
% 0.74/1.24 litorderings [0] = split
% 0.74/1.24 litorderings [1] = liftord
% 0.74/1.24
% 0.74/1.24 termordering = none
% 0.74/1.24
% 0.74/1.24 litapriori = 1
% 0.74/1.24 termapriori = 0
% 0.74/1.24 litaposteriori = 0
% 0.74/1.24 termaposteriori = 0
% 0.74/1.24 demodaposteriori = 0
% 0.74/1.24 ordereqreflfact = 0
% 0.74/1.24
% 0.74/1.24 litselect = none
% 0.74/1.24
% 0.74/1.24 maxweight = 15
% 0.74/1.24 maxdepth = 30000
% 0.74/1.24 maxlength = 115
% 0.74/1.24 maxnrvars = 195
% 0.74/1.24 excuselevel = 1
% 0.74/1.24 increasemaxweight = 1
% 0.74/1.24
% 0.74/1.24 maxselected = 10000000
% 0.74/1.24 maxnrclauses = 10000000
% 0.74/1.24
% 0.74/1.24 showgenerated = 0
% 0.74/1.24 showkept = 0
% 0.74/1.24 showselected = 0
% 0.74/1.24 showdeleted = 0
% 0.74/1.24 showresimp = 1
% 0.74/1.24 showstatus = 2000
% 0.74/1.24
% 0.74/1.24 prologoutput = 0
% 0.74/1.24 nrgoals = 5000000
% 0.74/1.24 totalproof = 1
% 0.74/1.24
% 0.74/1.24 Symbols occurring in the translation:
% 0.74/1.24
% 0.74/1.24 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 0.74/1.24 . [1, 2] (w:1, o:75, a:1, s:1, b:0),
% 0.74/1.24 ! [4, 1] (w:0, o:9, a:1, s:1, b:0),
% 0.74/1.24 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.74/1.24 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.74/1.24 r1 [36, 2] (w:1, o:99, a:1, s:1, b:0),
% 0.74/1.24 p3 [38, 1] (w:1, o:17, a:1, s:1, b:0),
% 0.74/1.24 p6 [39, 1] (w:1, o:20, a:1, s:1, b:0),
% 0.74/1.24 p106 [40, 1] (w:1, o:26, a:1, s:1, b:0),
% 0.74/1.24 p105 [41, 1] (w:1, o:25, a:1, s:1, b:0),
% 0.74/1.24 p104 [42, 1] (w:1, o:24, a:1, s:1, b:0),
% 0.74/1.24 p5 [43, 1] (w:1, o:19, a:1, s:1, b:0),
% 0.74/1.24 p103 [44, 1] (w:1, o:23, a:1, s:1, b:0),
% 0.74/1.24 p4 [45, 1] (w:1, o:18, a:1, s:1, b:0),
% 0.74/1.24 p102 [46, 1] (w:1, o:22, a:1, s:1, b:0),
% 0.74/1.24 p101 [47, 1] (w:1, o:21, a:1, s:1, b:0),
% 0.74/1.24 p2 [48, 1] (w:1, o:16, a:1, s:1, b:0),
% 0.74/1.24 p100 [49, 1] (w:1, o:14, a:1, s:1, b:0),
% 0.74/1.24 p1 [50, 1] (w:1, o:15, a:1, s:1, b:0),
% 0.74/1.24 alpha1 [51, 1] (w:1, o:27, a:1, s:1, b:0),
% 0.74/1.24 alpha2 [52, 1] (w:1, o:38, a:1, s:1, b:0),
% 0.74/1.24 alpha3 [53, 1] (w:1, o:49, a:1, s:1, b:0),
% 0.74/1.24 alpha4 [54, 1] (w:1, o:56, a:1, s:1, b:0),
% 0.74/1.24 alpha5 [55, 1] (w:1, o:58, a:1, s:1, b:0),
% 0.74/1.24 alpha6 [56, 1] (w:1, o:59, a:1, s:1, b:0),
% 0.74/1.24 alpha7 [57, 1] (w:1, o:60, a:1, s:1, b:0),
% 0.74/1.24 alpha8 [58, 1] (w:1, o:61, a:1, s:1, b:0),
% 0.74/1.24 alpha9 [59, 1] (w:1, o:62, a:1, s:1, b:0),
% 0.74/1.24 alpha10 [60, 1] (w:1, o:28, a:1, s:1, b:0),
% 0.74/1.24 alpha11 [61, 1] (w:1, o:29, a:1, s:1, b:0),
% 0.74/1.24 alpha12 [62, 1] (w:1, o:30, a:1, s:1, b:0),
% 0.74/1.24 alpha13 [63, 1] (w:1, o:31, a:1, s:1, b:0),
% 0.74/1.24 alpha14 [64, 1] (w:1, o:32, a:1, s:1, b:0),
% 0.74/1.24 alpha15 [65, 1] (w:1, o:33, a:1, s:1, b:0),
% 0.74/1.24 alpha16 [66, 1] (w:1, o:34, a:1, s:1, b:0),
% 0.74/1.24 alpha17 [67, 1] (w:1, o:35, a:1, s:1, b:0),
% 0.74/1.24 alpha18 [68, 1] (w:1, o:36, a:1, s:1, b:0),
% 0.74/1.24 alpha19 [69, 1] (w:1, o:37, a:1, s:1, b:0),
% 0.74/1.24 alpha20 [70, 1] (w:1, o:39, a:1, s:1, b:0),
% 0.74/1.24 alpha21 [71, 1] (w:1, o:40, a:1, s:1, b:0),
% 0.74/1.24 alpha22 [72, 1] (w:1, o:41, a:1, s:1, b:0),
% 0.74/1.24 alpha23 [73, 1] (w:1, o:42, a:1, s:1, b:0),
% 0.74/1.24 alpha24 [74, 1] (w:1, o:43, a:1, s:1, b:0),
% 0.74/1.24 alpha25 [75, 1] (w:1, o:44, a:1, s:1, b:0),
% 0.74/1.24 alpha26 [76, 1] (w:1, o:45, a:1, s:1, b:0),
% 0.74/1.24 alpha27 [77, 1] (w:1, o:46, a:1, s:1, b:0),
% 0.74/1.24 alpha28 [78, 1] (w:1, o:47, a:1, s:1, b:0),
% 0.74/1.24 alpha29 [79, 1] (w:1, o:48, a:1, s:1, b:0),
% 0.74/1.24 alpha30 [80, 1] (w:1, o:50, a:1, s:1, b:0),
% 0.74/1.24 alpha31 [81, 1] (w:1, o:51, a:1, s:1, b:0),
% 0.74/1.24 alpha32 [82, 2] (w:1, o:100, a:1, s:1, b:0),
% 0.74/1.24 alpha33 [83, 1] (w:1, o:52, a:1, s:1, b:0),
% 0.74/1.24 alpha34 [84, 1] (w:1, o:53, a:1, s:1, b:0),
% 0.74/1.24 alpha35 [85, 2] (w:1, o:101, a:1, s:1, b:0),
% 0.74/1.24 alpha36 [86, 1] (w:1, o:54, a:1, s:1, b:0),
% 0.74/1.24 alpha37 [87, 2] (w:1, o:102, a:1, s:1, b:0),
% 0.74/1.24 alpha38 [88, 1] (w:1, o:55, a:1, s:1, b:0),
% 0.74/1.24 alpha39 [89, 2] (w:1, o:103, a:1, s:1, b:0),
% 0.74/1.24 alpha40 [90, 2] (w:1, o:104, a:1, s:1, b:0),
% 0.74/1.24 alpha41 [91, 1] (w:1, o:57, a:1, s:1, b:0),
% 0.74/1.24 alpha42 [92, 2] (w:1, o:105, a:1, s:1, b:0),
% 0.74/1.24 alpha43 [93, 2] (w:1, o:106, a:1, s:1, b:0),
% 0.74/1.24 alpha44 [94, 2] (w:1, o:107, a:1, s:1, b:0),
% 0.74/1.24 alpha45 [95, 2] (w:1, o:108, a:1, s:1, b:0),
% 0.74/1.24 alpha46 [96, 2] (w:1, o:109, a:1, s:1, b:0),
% 0.74/1.24 skol1 [97, 0] (w:1, o:8, a:1, s:1, b:0),
% 0.74/1.24 skol2 [98, 1] (w:1, o:67, a:1, s:1, b:0),
% 0.74/1.24 skol3 [99, 1] (w:1, o:68, a:1, s:1, b:0),
% 0.74/1.24 skol4 [100, 1] (w:1, o:69, a:1, s:1, b:0),
% 0.74/1.24 skol5 [101, 1] (w:1, o:70, a:1, s:1, b:0),
% 0.74/1.24 skol6 [102, 1] (w:1, o:71, a:1, s:1, b:0),
% 0.74/1.24 skol7 [103, 1] (w:1, o:72, a:1, s:1, b:0),
% 0.74/1.24 skol8 [104, 1] (w:1, o:73, a:1, s:1, b:0),
% 0.74/1.24 skol9 [105, 1] (w:1, o:74, a:1, s:1, b:0),
% 0.74/1.24 skol10 [106, 1] (w:1, o:63, a:1, s:1, b:0),
% 0.74/1.24 skol11 [107, 1] (w:1, o:64, a:1, s:1, b:0),
% 0.74/1.24 skol12 [108, 1] (w:1, o:65, a:1, s:1, b:0),
% 0.74/1.24 skol13 [109, 1] (w:1, o:66, a:1, s:1, b:0).
% 0.74/1.24
% 0.74/1.24
% 0.74/1.24 Starting Search:
% 0.74/1.24
% 0.74/1.24 *** allocated 15000 integers for clauses
% 0.74/1.24 *** allocated 22500 integers for clauses
% 0.74/1.24 *** allocated 15000 integers for termspace/termends
% 0.74/1.24 *** allocated 33750 integers for clauses
% 0.74/1.24 *** allocated 22500 integers for termspace/termends
% 0.74/1.24 *** allocated 50625 integers for clauses
% 0.74/1.24 Resimplifying inuse:
% 0.74/1.24 Done
% 0.74/1.24
% 0.74/1.24 *** allocated 75937 integers for clauses
% 0.74/1.24 *** allocated 33750 integers for termspace/termends
% 0.74/1.24 *** allocated 113905 integers for clauses
% 0.74/1.24
% 0.74/1.24 Intermediate Status:
% 0.74/1.24 Generated: 8999
% 0.74/1.24 Kept: 2000
% 0.74/1.24 Inuse: 830
% 0.74/1.24 Deleted: 117
% 0.74/1.24 Deletedinuse: 12
% 0.74/1.24
% 0.74/1.24 Resimplifying inuse:
% 0.74/1.24 Done
% 0.74/1.24
% 0.74/1.24
% 0.74/1.24 Bliksems!, er is een bewijs:
% 0.74/1.24 % SZS status Theorem
% 0.74/1.24 % SZS output start Refutation
% 0.74/1.24
% 0.74/1.24 (0) {G0,W3,D2,L1,V1,M1} I { r1( X, X ) }.
% 0.74/1.24 (1) {G0,W17,D2,L6,V5,M5} I { p3( U ), ! r1( Y, Z ), ! r1( Z, T ), ! r1( T,
% 0.74/1.24 U ), ! r1( skol1, X ), ! r1( X, Y ) }.
% 0.74/1.24 (2) {G0,W17,D2,L6,V5,M5} I { alpha8( U ), ! r1( Y, Z ), ! r1( Z, T ), ! r1
% 0.74/1.24 ( T, U ), ! r1( skol1, X ), ! r1( X, Y ) }.
% 0.74/1.24 (18) {G0,W2,D2,L1,V0,M1} I { ! p101( skol1 ) }.
% 0.74/1.24 (19) {G0,W2,D2,L1,V0,M1} I { p100( skol1 ) }.
% 0.74/1.24 (20) {G0,W4,D2,L2,V1,M1} I { alpha2( X ), ! alpha8( X ) }.
% 0.74/1.24 (43) {G0,W4,D2,L2,V1,M1} I { ! alpha2( X ), alpha5( X ) }.
% 0.74/1.24 (44) {G0,W4,D2,L2,V1,M1} I { alpha10( X ), ! alpha2( X ) }.
% 0.74/1.24 (46) {G0,W6,D2,L3,V1,M1} I { ! alpha10( X ), ! p100( X ), alpha16( X ) }.
% 0.74/1.24 (49) {G0,W6,D2,L3,V1,M1} I { ! alpha16( X ), p101( X ), alpha23( X ) }.
% 0.74/1.24 (52) {G0,W4,D2,L2,V1,M1} I { ! alpha23( X ), alpha29( X ) }.
% 0.74/1.24 (62) {G0,W5,D3,L2,V2,M1} I { p101( skol5( Y ) ), ! alpha29( X ) }.
% 0.74/1.24 (63) {G0,W6,D3,L2,V1,M1} I { ! alpha29( X ), alpha37( X, skol5( X ) ) }.
% 0.74/1.24 (65) {G0,W6,D2,L2,V2,M1} I { r1( X, Y ), ! alpha37( X, Y ) }.
% 0.74/1.24 (67) {G0,W5,D2,L2,V2,M1} I { ! p102( Y ), ! alpha37( X, Y ) }.
% 0.74/1.24 (70) {G0,W4,D2,L2,V1,M1} I { alpha11( X ), ! alpha5( X ) }.
% 0.74/1.24 (72) {G0,W6,D2,L3,V1,M1} I { ! alpha11( X ), ! p101( X ), alpha17( X ) }.
% 0.74/1.24 (75) {G0,W6,D2,L3,V1,M1} I { ! alpha17( X ), p102( X ), alpha24( X ) }.
% 0.74/1.24 (78) {G0,W4,D2,L2,V1,M1} I { ! alpha24( X ), alpha30( X ) }.
% 0.74/1.24 (89) {G0,W6,D3,L2,V1,M1} I { ! alpha30( X ), alpha39( X, skol7( X ) ) }.
% 0.74/1.24 (91) {G0,W6,D2,L2,V2,M1} I { r1( X, Y ), ! alpha39( X, Y ) }.
% 0.74/1.24 (92) {G0,W5,D2,L2,V2,M1} I { ! p3( Y ), ! alpha39( X, Y ) }.
% 0.74/1.24 (181) {G1,W14,D2,L5,V3,M4} F(2) { alpha8( X ), ! r1( Y, Z ), ! r1( Z, X ),
% 0.74/1.24 ! r1( skol1, Z ), ! r1( X, Y ) }.
% 0.74/1.24 (182) {G2,W5,D2,L2,V1,M1} F(181);f;r(0) { alpha8( X ), ! r1( skol1, X ) }.
% 0.74/1.24 (184) {G2,W8,D2,L3,V1,M2} F(181);r(0) { alpha8( skol1 ), ! r1( skol1, X ),
% 0.74/1.24 ! r1( X, skol1 ) }.
% 0.74/1.24 (185) {G3,W2,D2,L1,V0,M1} F(184);r(0) { alpha8( skol1 ) }.
% 0.74/1.24 (321) {G1,W4,D2,L2,V1,M1} R(43,70) { alpha11( X ), ! alpha2( X ) }.
% 0.74/1.24 (328) {G4,W2,D2,L1,V0,M1} R(20,185) { alpha2( skol1 ) }.
% 0.74/1.24 (331) {G5,W2,D2,L1,V0,M1} R(328,44) { alpha10( skol1 ) }.
% 0.74/1.24 (490) {G1,W5,D3,L2,V2,M1} R(62,52) { p101( skol5( X ) ), ! alpha23( Y ) }.
% 0.74/1.24 (637) {G2,W7,D3,L3,V2,M1} R(49,490) { p101( X ), p101( skol5( Y ) ), !
% 0.74/1.24 alpha16( X ) }.
% 0.74/1.24 (654) {G1,W6,D3,L2,V1,M1} R(63,65) { ! alpha29( X ), r1( X, skol5( X ) )
% 0.74/1.24 }.
% 0.74/1.24 (656) {G1,W5,D3,L2,V1,M1} R(63,67) { ! p102( skol5( X ) ), ! alpha29( X )
% 0.74/1.24 }.
% 0.74/1.24 (659) {G2,W5,D3,L2,V1,M1} R(656,52) { ! p102( skol5( X ) ), ! alpha23( X )
% 0.74/1.24 }.
% 0.74/1.24 (710) {G1,W6,D3,L2,V1,M1} R(89,91) { ! alpha30( X ), r1( X, skol7( X ) )
% 0.74/1.24 }.
% 0.74/1.24 (711) {G1,W5,D3,L2,V1,M1} R(89,92) { ! p3( skol7( X ) ), ! alpha30( X ) }.
% 0.74/1.24 (722) {G2,W14,D2,L5,V4,M4} R(710,1);r(711) { ! alpha30( X ), ! r1( Z, X ),
% 0.74/1.24 ! r1( skol1, T ), ! r1( T, Y ), ! r1( Y, Z ) }.
% 0.74/1.24 (724) {G3,W11,D2,L4,V2,M3} F(722) { ! alpha30( X ), ! r1( skol1, Y ), ! r1
% 0.74/1.24 ( X, Y ), ! r1( Y, X ) }.
% 0.74/1.24 (726) {G4,W5,D2,L2,V1,M1} F(724);r(0) { ! alpha30( X ), ! r1( skol1, X )
% 0.74/1.24 }.
% 0.74/1.24 (952) {G5,W5,D3,L2,V0,M1} R(654,726) { ! alpha29( skol1 ), ! alpha30( skol5
% 0.74/1.24 ( skol1 ) ) }.
% 0.74/1.24 (956) {G3,W5,D3,L2,V0,M1} R(654,182) { ! alpha29( skol1 ), alpha8( skol5(
% 0.74/1.24 skol1 ) ) }.
% 0.74/1.24 (957) {G6,W5,D3,L2,V0,M1} R(952,78) { ! alpha24( skol5( skol1 ) ), !
% 0.74/1.24 alpha29( skol1 ) }.
% 0.74/1.24 (958) {G7,W5,D3,L2,V0,M1} R(957,52) { ! alpha23( skol1 ), ! alpha24( skol5
% 0.74/1.24 ( skol1 ) ) }.
% 0.74/1.24 (959) {G8,W5,D3,L2,V0,M1} R(958,75);r(659) { ! alpha17( skol5( skol1 ) ), !
% 0.74/1.24 alpha23( skol1 ) }.
% 0.74/1.24 (960) {G9,W5,D3,L2,V0,M1} R(959,49);r(18) { ! alpha16( skol1 ), ! alpha17(
% 0.74/1.24 skol5( skol1 ) ) }.
% 0.74/1.24 (961) {G10,W8,D3,L3,V0,M1} R(960,72) { ! alpha11( skol5( skol1 ) ), ! p101
% 0.74/1.24 ( skol5( skol1 ) ), ! alpha16( skol1 ) }.
% 0.74/1.24 (969) {G4,W5,D3,L2,V0,M1} R(956,20) { alpha2( skol5( skol1 ) ), ! alpha29(
% 0.74/1.24 skol1 ) }.
% 0.74/1.24 (979) {G5,W5,D3,L2,V0,M1} R(969,52) { alpha2( skol5( skol1 ) ), ! alpha23(
% 0.74/1.24 skol1 ) }.
% 0.74/1.24 (980) {G6,W5,D3,L2,V0,M1} R(979,49);r(18) { ! alpha16( skol1 ), alpha2(
% 0.74/1.24 skol5( skol1 ) ) }.
% 0.74/1.24 (981) {G7,W5,D3,L2,V0,M1} R(980,321) { alpha11( skol5( skol1 ) ), ! alpha16
% 0.74/1.24 ( skol1 ) }.
% 0.74/1.24 (984) {G8,W5,D3,L2,V0,M1} R(981,46);r(331) { ! p100( skol1 ), alpha11(
% 0.74/1.24 skol5( skol1 ) ) }.
% 0.74/1.24 (985) {G9,W3,D3,L1,V0,M1} S(984);r(19) { alpha11( skol5( skol1 ) ) }.
% 0.74/1.24 (1160) {G3,W9,D3,L4,V2,M1} R(637,46) { p101( X ), p101( skol5( Y ) ), !
% 0.74/1.24 p100( X ), ! alpha10( X ) }.
% 0.74/1.24 (1891) {G11,W5,D3,L2,V0,M1} S(961);r(985) { ! p101( skol5( skol1 ) ), !
% 0.74/1.24 alpha16( skol1 ) }.
% 0.74/1.24 (1892) {G12,W5,D3,L2,V0,M1} R(1891,46);r(331) { ! p100( skol1 ), ! p101(
% 0.74/1.24 skol5( skol1 ) ) }.
% 0.74/1.24 (1893) {G13,W3,D3,L1,V0,M1} S(1892);r(19) { ! p101( skol5( skol1 ) ) }.
% 0.74/1.24 (2080) {G6,W5,D3,L2,V1,M1} R(1160,331);r(18) { ! p100( skol1 ), p101( skol5
% 0.74/1.24 ( X ) ) }.
% 0.74/1.24 (2081) {G7,W3,D3,L1,V1,M1} S(2080);r(19) { p101( skol5( X ) ) }.
% 0.74/1.24 (2082) {G14,W0,D0,L0,V0,M0} R(2081,1893) { }.
% 0.74/1.24
% 0.74/1.24
% 0.74/1.24 % SZS output end Refutation
% 0.74/1.24 found a proof!
% 0.74/1.24
% 0.74/1.24
% 0.74/1.24 Unprocessed initial clauses:
% 0.74/1.24
% 0.74/1.24 (2084) {G0,W3,D2,L1,V1,M1} { r1( X, X ) }.
% 0.74/1.24 (2085) {G0,W17,D2,L6,V5,M6} { ! r1( skol1, X ), ! r1( X, Y ), ! r1( Y, Z )
% 0.74/1.24 , ! r1( Z, T ), ! r1( T, U ), p3( U ) }.
% 0.74/1.24 (2086) {G0,W17,D2,L6,V5,M6} { ! r1( skol1, X ), ! r1( X, Y ), ! r1( Y, Z )
% 0.74/1.24 , ! r1( Z, T ), ! r1( T, U ), alpha8( U ) }.
% 0.74/1.24 (2087) {G0,W26,D2,L10,V6,M10} { ! r1( skol1, X ), ! r1( X, Y ), ! r1( Y, Z
% 0.74/1.24 ), ! r1( Z, T ), ! r1( T, U ), ! r1( U, W ), ! p5( W ), ! p104( W ), p5
% 0.74/1.24 ( U ), ! p104( U ) }.
% 0.74/1.24 (2088) {G0,W26,D2,L10,V6,M10} { ! r1( skol1, X ), ! r1( X, Y ), ! r1( Y, Z
% 0.74/1.24 ), ! r1( Z, T ), ! r1( T, U ), ! r1( U, W ), p5( W ), ! p104( W ), ! p5
% 0.74/1.24 ( U ), ! p104( U ) }.
% 0.74/1.24 (2089) {G0,W26,D2,L10,V6,M10} { ! r1( skol1, X ), ! r1( X, Y ), ! r1( Y, Z
% 0.74/1.24 ), ! r1( Z, T ), ! r1( T, U ), ! r1( U, W ), ! p4( W ), ! p103( W ), p4
% 0.74/1.24 ( U ), ! p103( U ) }.
% 0.74/1.24 (2090) {G0,W26,D2,L10,V6,M10} { ! r1( skol1, X ), ! r1( X, Y ), ! r1( Y, Z
% 0.74/1.24 ), ! r1( Z, T ), ! r1( T, U ), ! r1( U, W ), p4( W ), ! p103( W ), ! p4
% 0.74/1.24 ( U ), ! p103( U ) }.
% 0.74/1.24 (2091) {G0,W26,D2,L10,V6,M10} { ! r1( skol1, X ), ! r1( X, Y ), ! r1( Y, Z
% 0.74/1.24 ), ! r1( Z, T ), ! r1( T, U ), ! r1( U, W ), ! p3( W ), ! p102( W ), p3
% 0.74/1.24 ( U ), ! p102( U ) }.
% 0.74/1.24 (2092) {G0,W26,D2,L10,V6,M10} { ! r1( skol1, X ), ! r1( X, Y ), ! r1( Y, Z
% 0.74/1.24 ), ! r1( Z, T ), ! r1( T, U ), ! r1( U, W ), p3( W ), ! p102( W ), ! p3
% 0.74/1.24 ( U ), ! p102( U ) }.
% 0.74/1.24 (2093) {G0,W26,D2,L10,V6,M10} { ! r1( skol1, X ), ! r1( X, Y ), ! r1( Y, Z
% 0.74/1.24 ), ! r1( Z, T ), ! r1( T, U ), ! r1( U, W ), ! p2( W ), ! p101( W ), p2
% 0.74/1.24 ( U ), ! p101( U ) }.
% 0.74/1.24 (2094) {G0,W26,D2,L10,V6,M10} { ! r1( skol1, X ), ! r1( X, Y ), ! r1( Y, Z
% 0.74/1.24 ), ! r1( Z, T ), ! r1( T, U ), ! r1( U, W ), p2( W ), ! p101( W ), ! p2
% 0.74/1.24 ( U ), ! p101( U ) }.
% 0.74/1.24 (2095) {G0,W26,D2,L10,V6,M10} { ! r1( skol1, X ), ! r1( X, Y ), ! r1( Y, Z
% 0.74/1.24 ), ! r1( Z, T ), ! r1( T, U ), ! r1( U, W ), ! p1( W ), ! p100( W ), p1
% 0.74/1.24 ( U ), ! p100( U ) }.
% 0.74/1.24 (2096) {G0,W26,D2,L10,V6,M10} { ! r1( skol1, X ), ! r1( X, Y ), ! r1( Y, Z
% 0.74/1.24 ), ! r1( Z, T ), ! r1( T, U ), ! r1( U, W ), p1( W ), ! p100( W ), ! p1
% 0.74/1.24 ( U ), ! p100( U ) }.
% 0.74/1.24 (2097) {G0,W19,D2,L7,V5,M7} { ! r1( skol1, X ), ! r1( X, Y ), ! r1( Y, Z )
% 0.74/1.24 , ! r1( Z, T ), ! r1( T, U ), p105( U ), ! p106( U ) }.
% 0.74/1.24 (2098) {G0,W19,D2,L7,V5,M7} { ! r1( skol1, X ), ! r1( X, Y ), ! r1( Y, Z )
% 0.74/1.24 , ! r1( Z, T ), ! r1( T, U ), p104( U ), ! p105( U ) }.
% 0.74/1.24 (2099) {G0,W19,D2,L7,V5,M7} { ! r1( skol1, X ), ! r1( X, Y ), ! r1( Y, Z )
% 0.74/1.24 , ! r1( Z, T ), ! r1( T, U ), p103( U ), ! p104( U ) }.
% 0.74/1.24 (2100) {G0,W19,D2,L7,V5,M7} { ! r1( skol1, X ), ! r1( X, Y ), ! r1( Y, Z )
% 0.74/1.24 , ! r1( Z, T ), ! r1( T, U ), p102( U ), ! p103( U ) }.
% 0.74/1.24 (2101) {G0,W19,D2,L7,V5,M7} { ! r1( skol1, X ), ! r1( X, Y ), ! r1( Y, Z )
% 0.74/1.24 , ! r1( Z, T ), ! r1( T, U ), p101( U ), ! p102( U ) }.
% 0.74/1.24 (2102) {G0,W19,D2,L7,V5,M7} { ! r1( skol1, X ), ! r1( X, Y ), ! r1( Y, Z )
% 0.74/1.24 , ! r1( Z, T ), ! r1( T, U ), p100( U ), ! p101( U ) }.
% 0.74/1.24 (2103) {G0,W2,D2,L1,V0,M1} { ! p101( skol1 ) }.
% 0.74/1.24 (2104) {G0,W2,D2,L1,V0,M1} { p100( skol1 ) }.
% 0.74/1.24 (2105) {G0,W4,D2,L2,V1,M2} { ! alpha8( X ), alpha2( X ) }.
% 0.74/1.24 (2106) {G0,W4,D2,L2,V1,M2} { ! alpha8( X ), alpha4( X ) }.
% 0.74/1.24 (2107) {G0,W6,D2,L3,V1,M3} { ! alpha2( X ), ! alpha4( X ), alpha8( X ) }.
% 0.74/1.24 (2108) {G0,W6,D2,L3,V1,M3} { ! alpha4( X ), alpha9( X ), ! p105( X ) }.
% 0.74/1.24 (2109) {G0,W4,D2,L2,V1,M2} { ! alpha9( X ), alpha4( X ) }.
% 0.74/1.24 (2110) {G0,W4,D2,L2,V1,M2} { p105( X ), alpha4( X ) }.
% 0.74/1.24 (2111) {G0,W4,D2,L2,V1,M2} { ! alpha9( X ), alpha15( X ) }.
% 0.74/1.24 (2112) {G0,W4,D2,L2,V1,M2} { ! alpha9( X ), alpha21( X ) }.
% 0.74/1.24 (2113) {G0,W6,D2,L3,V1,M3} { ! alpha15( X ), ! alpha21( X ), alpha9( X )
% 0.74/1.24 }.
% 0.74/1.24 (2114) {G0,W6,D2,L3,V1,M3} { ! alpha21( X ), alpha28( X ), ! p6( X ) }.
% 0.74/1.24 (2115) {G0,W4,D2,L2,V1,M2} { ! alpha28( X ), alpha21( X ) }.
% 0.74/1.24 (2116) {G0,W4,D2,L2,V1,M2} { p6( X ), alpha21( X ) }.
% 0.74/1.24 (2117) {G0,W9,D2,L4,V2,M4} { ! alpha28( X ), ! r1( X, Y ), p6( Y ), ! p105
% 0.74/1.24 ( Y ) }.
% 0.74/1.24 (2118) {G0,W5,D3,L2,V2,M2} { ! p6( skol2( Y ) ), alpha28( X ) }.
% 0.74/1.24 (2119) {G0,W5,D3,L2,V2,M2} { p105( skol2( Y ) ), alpha28( X ) }.
% 0.74/1.24 (2120) {G0,W6,D3,L2,V1,M2} { r1( X, skol2( X ) ), alpha28( X ) }.
% 0.74/1.24 (2121) {G0,W6,D2,L3,V1,M3} { ! alpha15( X ), alpha22( X ), p6( X ) }.
% 0.74/1.24 (2122) {G0,W4,D2,L2,V1,M2} { ! alpha22( X ), alpha15( X ) }.
% 0.74/1.24 (2123) {G0,W4,D2,L2,V1,M2} { ! p6( X ), alpha15( X ) }.
% 0.74/1.24 (2124) {G0,W9,D2,L4,V2,M4} { ! alpha22( X ), ! r1( X, Y ), ! p6( Y ), !
% 0.74/1.24 p105( Y ) }.
% 0.74/1.24 (2125) {G0,W5,D3,L2,V2,M2} { p6( skol3( Y ) ), alpha22( X ) }.
% 0.74/1.24 (2126) {G0,W5,D3,L2,V2,M2} { p105( skol3( Y ) ), alpha22( X ) }.
% 0.74/1.24 (2127) {G0,W6,D3,L2,V1,M2} { r1( X, skol3( X ) ), alpha22( X ) }.
% 0.74/1.24 (2128) {G0,W4,D2,L2,V1,M2} { ! alpha2( X ), alpha5( X ) }.
% 0.74/1.24 (2129) {G0,W4,D2,L2,V1,M2} { ! alpha2( X ), alpha10( X ) }.
% 0.74/1.24 (2130) {G0,W6,D2,L3,V1,M3} { ! alpha5( X ), ! alpha10( X ), alpha2( X )
% 0.74/1.24 }.
% 0.74/1.24 (2131) {G0,W6,D2,L3,V1,M3} { ! alpha10( X ), alpha16( X ), ! p100( X ) }.
% 0.74/1.24 (2132) {G0,W4,D2,L2,V1,M2} { ! alpha16( X ), alpha10( X ) }.
% 0.74/1.24 (2133) {G0,W4,D2,L2,V1,M2} { p100( X ), alpha10( X ) }.
% 0.74/1.24 (2134) {G0,W6,D2,L3,V1,M3} { ! alpha16( X ), alpha23( X ), p101( X ) }.
% 0.74/1.24 (2135) {G0,W4,D2,L2,V1,M2} { ! alpha23( X ), alpha16( X ) }.
% 0.74/1.24 (2136) {G0,W4,D2,L2,V1,M2} { ! p101( X ), alpha16( X ) }.
% 0.74/1.24 (2137) {G0,W4,D2,L2,V1,M2} { ! alpha23( X ), alpha29( X ) }.
% 0.74/1.24 (2138) {G0,W4,D2,L2,V1,M2} { ! alpha23( X ), alpha36( X ) }.
% 0.74/1.24 (2139) {G0,W6,D2,L3,V1,M3} { ! alpha29( X ), ! alpha36( X ), alpha23( X )
% 0.74/1.24 }.
% 0.74/1.24 (2140) {G0,W5,D3,L2,V2,M2} { ! alpha36( X ), p101( skol4( Y ) ) }.
% 0.74/1.24 (2141) {G0,W6,D3,L2,V1,M2} { ! alpha36( X ), alpha44( X, skol4( X ) ) }.
% 0.74/1.24 (2142) {G0,W7,D2,L3,V2,M3} { ! alpha44( X, Y ), ! p101( Y ), alpha36( X )
% 0.74/1.24 }.
% 0.74/1.24 (2143) {G0,W6,D2,L2,V2,M2} { ! alpha44( X, Y ), r1( X, Y ) }.
% 0.74/1.24 (2144) {G0,W5,D2,L2,V2,M2} { ! alpha44( X, Y ), p2( Y ) }.
% 0.74/1.24 (2145) {G0,W5,D2,L2,V2,M2} { ! alpha44( X, Y ), ! p102( Y ) }.
% 0.74/1.24 (2146) {G0,W10,D2,L4,V2,M4} { ! r1( X, Y ), ! p2( Y ), p102( Y ), alpha44
% 0.74/1.24 ( X, Y ) }.
% 0.74/1.24 (2147) {G0,W5,D3,L2,V2,M2} { ! alpha29( X ), p101( skol5( Y ) ) }.
% 0.74/1.24 (2148) {G0,W6,D3,L2,V1,M2} { ! alpha29( X ), alpha37( X, skol5( X ) ) }.
% 0.74/1.24 (2149) {G0,W7,D2,L3,V2,M3} { ! alpha37( X, Y ), ! p101( Y ), alpha29( X )
% 0.74/1.24 }.
% 0.74/1.24 (2150) {G0,W6,D2,L2,V2,M2} { ! alpha37( X, Y ), r1( X, Y ) }.
% 0.74/1.24 (2151) {G0,W5,D2,L2,V2,M2} { ! alpha37( X, Y ), ! p2( Y ) }.
% 0.74/1.24 (2152) {G0,W5,D2,L2,V2,M2} { ! alpha37( X, Y ), ! p102( Y ) }.
% 0.74/1.24 (2153) {G0,W10,D2,L4,V2,M4} { ! r1( X, Y ), p2( Y ), p102( Y ), alpha37( X
% 0.74/1.24 , Y ) }.
% 0.74/1.24 (2154) {G0,W4,D2,L2,V1,M2} { ! alpha5( X ), alpha1( X ) }.
% 0.74/1.24 (2155) {G0,W4,D2,L2,V1,M2} { ! alpha5( X ), alpha11( X ) }.
% 0.74/1.24 (2156) {G0,W6,D2,L3,V1,M3} { ! alpha1( X ), ! alpha11( X ), alpha5( X )
% 0.74/1.24 }.
% 0.74/1.24 (2157) {G0,W6,D2,L3,V1,M3} { ! alpha11( X ), alpha17( X ), ! p101( X ) }.
% 0.74/1.24 (2158) {G0,W4,D2,L2,V1,M2} { ! alpha17( X ), alpha11( X ) }.
% 0.74/1.24 (2159) {G0,W4,D2,L2,V1,M2} { p101( X ), alpha11( X ) }.
% 0.74/1.24 (2160) {G0,W6,D2,L3,V1,M3} { ! alpha17( X ), alpha24( X ), p102( X ) }.
% 0.74/1.24 (2161) {G0,W4,D2,L2,V1,M2} { ! alpha24( X ), alpha17( X ) }.
% 0.74/1.24 (2162) {G0,W4,D2,L2,V1,M2} { ! p102( X ), alpha17( X ) }.
% 0.74/1.24 (2163) {G0,W4,D2,L2,V1,M2} { ! alpha24( X ), alpha30( X ) }.
% 0.74/1.24 (2164) {G0,W4,D2,L2,V1,M2} { ! alpha24( X ), alpha38( X ) }.
% 0.74/1.24 (2165) {G0,W6,D2,L3,V1,M3} { ! alpha30( X ), ! alpha38( X ), alpha24( X )
% 0.74/1.24 }.
% 0.74/1.24 (2166) {G0,W5,D3,L2,V2,M2} { ! alpha38( X ), p102( skol6( Y ) ) }.
% 0.74/1.24 (2167) {G0,W6,D3,L2,V1,M2} { ! alpha38( X ), alpha45( X, skol6( X ) ) }.
% 0.74/1.24 (2168) {G0,W7,D2,L3,V2,M3} { ! alpha45( X, Y ), ! p102( Y ), alpha38( X )
% 0.74/1.24 }.
% 0.74/1.24 (2169) {G0,W6,D2,L2,V2,M2} { ! alpha45( X, Y ), r1( X, Y ) }.
% 0.74/1.24 (2170) {G0,W5,D2,L2,V2,M2} { ! alpha45( X, Y ), p3( Y ) }.
% 0.74/1.24 (2171) {G0,W5,D2,L2,V2,M2} { ! alpha45( X, Y ), ! p103( Y ) }.
% 0.74/1.24 (2172) {G0,W10,D2,L4,V2,M4} { ! r1( X, Y ), ! p3( Y ), p103( Y ), alpha45
% 0.74/1.24 ( X, Y ) }.
% 0.74/1.24 (2173) {G0,W5,D3,L2,V2,M2} { ! alpha30( X ), p102( skol7( Y ) ) }.
% 0.74/1.24 (2174) {G0,W6,D3,L2,V1,M2} { ! alpha30( X ), alpha39( X, skol7( X ) ) }.
% 0.74/1.24 (2175) {G0,W7,D2,L3,V2,M3} { ! alpha39( X, Y ), ! p102( Y ), alpha30( X )
% 0.74/1.24 }.
% 0.74/1.24 (2176) {G0,W6,D2,L2,V2,M2} { ! alpha39( X, Y ), r1( X, Y ) }.
% 0.74/1.24 (2177) {G0,W5,D2,L2,V2,M2} { ! alpha39( X, Y ), ! p3( Y ) }.
% 0.74/1.24 (2178) {G0,W5,D2,L2,V2,M2} { ! alpha39( X, Y ), ! p103( Y ) }.
% 0.74/1.24 (2179) {G0,W10,D2,L4,V2,M4} { ! r1( X, Y ), p3( Y ), p103( Y ), alpha39( X
% 0.74/1.24 , Y ) }.
% 0.74/1.24 (2180) {G0,W4,D2,L2,V1,M2} { ! alpha1( X ), alpha3( X ) }.
% 0.74/1.24 (2181) {G0,W4,D2,L2,V1,M2} { ! alpha1( X ), alpha6( X ) }.
% 0.74/1.24 (2182) {G0,W6,D2,L3,V1,M3} { ! alpha3( X ), ! alpha6( X ), alpha1( X ) }.
% 0.74/1.24 (2183) {G0,W6,D2,L3,V1,M3} { ! alpha6( X ), alpha12( X ), ! p102( X ) }.
% 0.74/1.24 (2184) {G0,W4,D2,L2,V1,M2} { ! alpha12( X ), alpha6( X ) }.
% 0.74/1.24 (2185) {G0,W4,D2,L2,V1,M2} { p102( X ), alpha6( X ) }.
% 0.74/1.24 (2186) {G0,W6,D2,L3,V1,M3} { ! alpha12( X ), alpha18( X ), p103( X ) }.
% 0.74/1.24 (2187) {G0,W4,D2,L2,V1,M2} { ! alpha18( X ), alpha12( X ) }.
% 0.74/1.24 (2188) {G0,W4,D2,L2,V1,M2} { ! p103( X ), alpha12( X ) }.
% 0.74/1.24 (2189) {G0,W4,D2,L2,V1,M2} { ! alpha18( X ), alpha25( X ) }.
% 0.74/1.24 (2190) {G0,W4,D2,L2,V1,M2} { ! alpha18( X ), alpha31( X ) }.
% 0.74/1.24 (2191) {G0,W6,D2,L3,V1,M3} { ! alpha25( X ), ! alpha31( X ), alpha18( X )
% 0.74/1.24 }.
% 0.74/1.24 (2192) {G0,W5,D3,L2,V2,M2} { ! alpha31( X ), p103( skol8( Y ) ) }.
% 0.74/1.24 (2193) {G0,W6,D3,L2,V1,M2} { ! alpha31( X ), alpha40( X, skol8( X ) ) }.
% 0.74/1.24 (2194) {G0,W7,D2,L3,V2,M3} { ! alpha40( X, Y ), ! p103( Y ), alpha31( X )
% 0.74/1.24 }.
% 0.74/1.24 (2195) {G0,W6,D2,L2,V2,M2} { ! alpha40( X, Y ), r1( X, Y ) }.
% 0.74/1.24 (2196) {G0,W5,D2,L2,V2,M2} { ! alpha40( X, Y ), p4( Y ) }.
% 0.74/1.24 (2197) {G0,W5,D2,L2,V2,M2} { ! alpha40( X, Y ), ! p104( Y ) }.
% 0.74/1.24 (2198) {G0,W10,D2,L4,V2,M4} { ! r1( X, Y ), ! p4( Y ), p104( Y ), alpha40
% 0.74/1.24 ( X, Y ) }.
% 0.74/1.24 (2199) {G0,W5,D3,L2,V2,M2} { ! alpha25( X ), p103( skol9( Y ) ) }.
% 0.74/1.24 (2200) {G0,W6,D3,L2,V1,M2} { ! alpha25( X ), alpha32( X, skol9( X ) ) }.
% 0.74/1.24 (2201) {G0,W7,D2,L3,V2,M3} { ! alpha32( X, Y ), ! p103( Y ), alpha25( X )
% 0.74/1.24 }.
% 0.74/1.24 (2202) {G0,W6,D2,L2,V2,M2} { ! alpha32( X, Y ), r1( X, Y ) }.
% 0.74/1.24 (2203) {G0,W5,D2,L2,V2,M2} { ! alpha32( X, Y ), ! p4( Y ) }.
% 0.74/1.24 (2204) {G0,W5,D2,L2,V2,M2} { ! alpha32( X, Y ), ! p104( Y ) }.
% 0.74/1.24 (2205) {G0,W10,D2,L4,V2,M4} { ! r1( X, Y ), p4( Y ), p104( Y ), alpha32( X
% 0.74/1.24 , Y ) }.
% 0.74/1.24 (2206) {G0,W4,D2,L2,V1,M2} { ! alpha3( X ), alpha7( X ) }.
% 0.74/1.24 (2207) {G0,W4,D2,L2,V1,M2} { ! alpha3( X ), alpha13( X ) }.
% 0.74/1.24 (2208) {G0,W6,D2,L3,V1,M3} { ! alpha7( X ), ! alpha13( X ), alpha3( X )
% 0.74/1.24 }.
% 0.74/1.24 (2209) {G0,W6,D2,L3,V1,M3} { ! alpha13( X ), alpha19( X ), ! p103( X ) }.
% 0.74/1.24 (2210) {G0,W4,D2,L2,V1,M2} { ! alpha19( X ), alpha13( X ) }.
% 0.74/1.24 (2211) {G0,W4,D2,L2,V1,M2} { p103( X ), alpha13( X ) }.
% 0.74/1.24 (2212) {G0,W6,D2,L3,V1,M3} { ! alpha19( X ), alpha26( X ), p104( X ) }.
% 0.74/1.24 (2213) {G0,W4,D2,L2,V1,M2} { ! alpha26( X ), alpha19( X ) }.
% 0.74/1.24 (2214) {G0,W4,D2,L2,V1,M2} { ! p104( X ), alpha19( X ) }.
% 0.74/1.24 (2215) {G0,W4,D2,L2,V1,M2} { ! alpha26( X ), alpha33( X ) }.
% 0.74/1.24 (2216) {G0,W4,D2,L2,V1,M2} { ! alpha26( X ), alpha41( X ) }.
% 0.74/1.24 (2217) {G0,W6,D2,L3,V1,M3} { ! alpha33( X ), ! alpha41( X ), alpha26( X )
% 0.74/1.24 }.
% 0.74/1.24 (2218) {G0,W5,D3,L2,V2,M2} { ! alpha41( X ), p104( skol10( Y ) ) }.
% 0.74/1.24 (2219) {G0,W6,D3,L2,V1,M2} { ! alpha41( X ), alpha46( X, skol10( X ) ) }.
% 0.74/1.24 (2220) {G0,W7,D2,L3,V2,M3} { ! alpha46( X, Y ), ! p104( Y ), alpha41( X )
% 0.74/1.24 }.
% 0.74/1.24 (2221) {G0,W6,D2,L2,V2,M2} { ! alpha46( X, Y ), r1( X, Y ) }.
% 0.74/1.24 (2222) {G0,W5,D2,L2,V2,M2} { ! alpha46( X, Y ), p5( Y ) }.
% 0.74/1.24 (2223) {G0,W5,D2,L2,V2,M2} { ! alpha46( X, Y ), ! p105( Y ) }.
% 0.74/1.24 (2224) {G0,W10,D2,L4,V2,M4} { ! r1( X, Y ), ! p5( Y ), p105( Y ), alpha46
% 0.74/1.24 ( X, Y ) }.
% 0.74/1.24 (2225) {G0,W5,D3,L2,V2,M2} { ! alpha33( X ), p104( skol11( Y ) ) }.
% 0.74/1.24 (2226) {G0,W6,D3,L2,V1,M2} { ! alpha33( X ), alpha42( X, skol11( X ) ) }.
% 0.74/1.24 (2227) {G0,W7,D2,L3,V2,M3} { ! alpha42( X, Y ), ! p104( Y ), alpha33( X )
% 0.74/1.24 }.
% 0.74/1.24 (2228) {G0,W6,D2,L2,V2,M2} { ! alpha42( X, Y ), r1( X, Y ) }.
% 0.74/1.24 (2229) {G0,W5,D2,L2,V2,M2} { ! alpha42( X, Y ), ! p5( Y ) }.
% 0.74/1.24 (2230) {G0,W5,D2,L2,V2,M2} { ! alpha42( X, Y ), ! p105( Y ) }.
% 0.74/1.24 (2231) {G0,W10,D2,L4,V2,M4} { ! r1( X, Y ), p5( Y ), p105( Y ), alpha42( X
% 0.74/1.24 , Y ) }.
% 0.74/1.24 (2232) {G0,W6,D2,L3,V1,M3} { ! alpha7( X ), alpha14( X ), ! p104( X ) }.
% 0.74/1.24 (2233) {G0,W4,D2,L2,V1,M2} { ! alpha14( X ), alpha7( X ) }.
% 0.74/1.24 (2234) {G0,W4,D2,L2,V1,M2} { p104( X ), alpha7( X ) }.
% 0.74/1.24 (2235) {G0,W6,D2,L3,V1,M3} { ! alpha14( X ), alpha20( X ), p105( X ) }.
% 0.74/1.24 (2236) {G0,W4,D2,L2,V1,M2} { ! alpha20( X ), alpha14( X ) }.
% 0.74/1.24 (2237) {G0,W4,D2,L2,V1,M2} { ! p105( X ), alpha14( X ) }.
% 0.74/1.24 (2238) {G0,W4,D2,L2,V1,M2} { ! alpha20( X ), alpha27( X ) }.
% 0.74/1.24 (2239) {G0,W4,D2,L2,V1,M2} { ! alpha20( X ), alpha34( X ) }.
% 0.74/1.24 (2240) {G0,W6,D2,L3,V1,M3} { ! alpha27( X ), ! alpha34( X ), alpha20( X )
% 0.74/1.24 }.
% 0.74/1.24 (2241) {G0,W5,D3,L2,V2,M2} { ! alpha34( X ), p105( skol12( Y ) ) }.
% 0.74/1.24 (2242) {G0,W6,D3,L2,V1,M2} { ! alpha34( X ), alpha43( X, skol12( X ) ) }.
% 0.74/1.24 (2243) {G0,W7,D2,L3,V2,M3} { ! alpha43( X, Y ), ! p105( Y ), alpha34( X )
% 0.74/1.24 }.
% 0.74/1.24 (2244) {G0,W6,D2,L2,V2,M2} { ! alpha43( X, Y ), r1( X, Y ) }.
% 0.74/1.24 (2245) {G0,W5,D2,L2,V2,M2} { ! alpha43( X, Y ), p6( Y ) }.
% 0.74/1.24 (2246) {G0,W5,D2,L2,V2,M2} { ! alpha43( X, Y ), ! p106( Y ) }.
% 0.74/1.24 (2247) {G0,W10,D2,L4,V2,M4} { ! r1( X, Y ), ! p6( Y ), p106( Y ), alpha43
% 0.74/1.24 ( X, Y ) }.
% 0.74/1.24 (2248) {G0,W5,D3,L2,V2,M2} { ! alpha27( X ), p105( skol13( Y ) ) }.
% 0.74/1.24 (2249) {G0,W6,D3,L2,V1,M2} { ! alpha27( X ), alpha35( X, skol13( X ) ) }.
% 0.74/1.24 (2250) {G0,W7,D2,L3,V2,M3} { ! alpha35( X, Y ), ! p105( Y ), alpha27( X )
% 0.74/1.24 }.
% 0.74/1.24 (2251) {G0,W6,D2,L2,V2,M2} { ! alpha35( X, Y ), r1( X, Y ) }.
% 0.74/1.24 (2252) {G0,W5,D2,L2,V2,M2} { ! alpha35( X, Y ), ! p6( Y ) }.
% 0.74/1.24 (2253) {G0,W5,D2,L2,V2,M2} { ! alpha35( X, Y ), ! p106( Y ) }.
% 0.74/1.24 (2254) {G0,W10,D2,L4,V2,M4} { ! r1( X, Y ), p6( Y ), p106( Y ), alpha35( X
% 0.74/1.24 , Y ) }.
% 0.74/1.24
% 0.74/1.24
% 0.74/1.24 Total Proof:
% 0.74/1.24
% 0.74/1.24 subsumption: (0) {G0,W3,D2,L1,V1,M1} I { r1( X, X ) }.
% 0.74/1.24 parent0: (2084) {G0,W3,D2,L1,V1,M1} { r1( X, X ) }.
% 0.74/1.24 substitution0:
% 0.74/1.24 X := X
% 0.74/1.24 end
% 0.74/1.24 permutation0:
% 0.74/1.24 0 ==> 0
% 0.74/1.24 end
% 0.74/1.24
% 0.74/1.24 subsumption: (1) {G0,W17,D2,L6,V5,M5} I { p3( U ), ! r1( Y, Z ), ! r1( Z, T
% 0.74/1.24 ), ! r1( T, U ), ! r1( skol1, X ), ! r1( X, Y ) }.
% 0.74/1.24 parent0: (2085) {G0,W17,D2,L6,V5,M6} { ! r1( skol1, X ), ! r1( X, Y ), !
% 0.74/1.24 r1( Y, Z ), ! r1( Z, T ), ! r1( T, U ), p3( U ) }.
% 0.74/1.24 substitution0:
% 0.74/1.24 X := X
% 0.74/1.24 Y := Y
% 0.74/1.24 Z := Z
% 0.74/1.24 T := T
% 0.74/1.24 U := U
% 0.74/1.24 end
% 0.74/1.24 permutation0:
% 0.74/1.24 0 ==> 4
% 0.74/1.24 1 ==> 5
% 0.74/1.24 2 ==> 1
% 0.74/1.24 3 ==> 2
% 0.74/1.24 4 ==> 3
% 0.74/1.24 5 ==> 0
% 0.74/1.24 end
% 0.74/1.24
% 0.74/1.24 *** allocated 50625 integers for termspace/termends
% 0.74/1.24 subsumption: (2) {G0,W17,D2,L6,V5,M5} I { alpha8( U ), ! r1( Y, Z ), ! r1(
% 0.74/1.61 Z, T ), ! r1( T, U ), ! r1( skol1, X ), ! r1( X, Y ) }.
% 0.74/1.61 parent0: (2086) {G0,W17,D2,L6,V5,M6} { ! r1( skol1, X ), ! r1( X, Y ), !
% 0.74/1.61 r1( Y, Z ), ! r1( Z, T ), ! r1( T, U ), alpha8( U ) }.
% 0.74/1.61 substitution0:
% 0.74/1.61 X := X
% 0.74/1.61 Y := Y
% 0.74/1.61 Z := Z
% 0.74/1.61 T := T
% 0.74/1.61 U := U
% 0.74/1.61 end
% 0.74/1.61 permutation0:
% 0.74/1.61 0 ==> 4
% 0.74/1.61 1 ==> 5
% 0.74/1.61 2 ==> 1
% 0.74/1.61 3 ==> 2
% 0.74/1.61 4 ==> 3
% 0.74/1.61 5 ==> 0
% 0.74/1.61 end
% 0.74/1.61
% 0.74/1.61 *** allocated 170857 integers for clauses
% 0.74/1.61 *** allocated 75937 integers for termspace/termends
% 0.74/1.61 subsumption: (18) {G0,W2,D2,L1,V0,M1} I { ! p101( skol1 ) }.
% 0.74/1.61 parent0: (2103) {G0,W2,D2,L1,V0,M1} { ! p101( skol1 ) }.
% 0.74/1.61 substitution0:
% 0.74/1.61 end
% 0.74/1.61 permutation0:
% 0.74/1.61 0 ==> 0
% 0.74/1.61 end
% 0.74/1.61
% 0.74/1.61 *** allocated 113905 integers for termspace/termends
% 0.74/1.61 subsumption: (19) {G0,W2,D2,L1,V0,M1} I { p100( skol1 ) }.
% 0.74/1.61 parent0: (2104) {G0,W2,D2,L1,V0,M1} { p100( skol1 ) }.
% 0.74/1.61 substitution0:
% 0.74/1.61 end
% 0.74/1.61 permutation0:
% 0.74/1.61 0 ==> 0
% 0.74/1.61 end
% 0.74/1.61
% 0.74/1.61 *** allocated 256285 integers for clauses
% 0.74/1.61 *** allocated 170857 integers for termspace/termends
% 0.74/1.61 subsumption: (20) {G0,W4,D2,L2,V1,M1} I { alpha2( X ), ! alpha8( X ) }.
% 0.74/1.61 parent0: (2105) {G0,W4,D2,L2,V1,M2} { ! alpha8( X ), alpha2( X ) }.
% 0.74/1.61 substitution0:
% 0.74/1.61 X := X
% 0.74/1.61 end
% 0.74/1.61 permutation0:
% 0.74/1.61 0 ==> 1
% 0.74/1.61 1 ==> 0
% 0.74/1.61 end
% 0.74/1.61
% 0.74/1.61 subsumption: (43) {G0,W4,D2,L2,V1,M1} I { ! alpha2( X ), alpha5( X ) }.
% 0.74/1.61 parent0: (2128) {G0,W4,D2,L2,V1,M2} { ! alpha2( X ), alpha5( X ) }.
% 0.74/1.61 substitution0:
% 0.74/1.61 X := X
% 0.74/1.61 end
% 0.74/1.61 permutation0:
% 0.74/1.61 0 ==> 0
% 0.74/1.61 1 ==> 1
% 0.74/1.61 end
% 0.74/1.61
% 0.74/1.61 *** allocated 256285 integers for termspace/termends
% 0.74/1.61 subsumption: (44) {G0,W4,D2,L2,V1,M1} I { alpha10( X ), ! alpha2( X ) }.
% 0.74/1.61 parent0: (2129) {G0,W4,D2,L2,V1,M2} { ! alpha2( X ), alpha10( X ) }.
% 0.74/1.61 substitution0:
% 0.74/1.61 X := X
% 0.74/1.61 end
% 0.74/1.61 permutation0:
% 0.74/1.61 0 ==> 1
% 0.74/1.61 1 ==> 0
% 0.74/1.61 end
% 0.74/1.61
% 0.74/1.61 *** allocated 384427 integers for clauses
% 0.74/1.61 subsumption: (46) {G0,W6,D2,L3,V1,M1} I { ! alpha10( X ), ! p100( X ),
% 0.74/1.61 alpha16( X ) }.
% 0.74/1.61 parent0: (2131) {G0,W6,D2,L3,V1,M3} { ! alpha10( X ), alpha16( X ), ! p100
% 0.74/1.61 ( X ) }.
% 0.74/1.61 substitution0:
% 0.74/1.61 X := X
% 0.74/1.61 end
% 0.74/1.61 permutation0:
% 0.74/1.61 0 ==> 0
% 0.74/1.61 1 ==> 2
% 0.74/1.61 2 ==> 1
% 0.74/1.61 end
% 0.74/1.61
% 0.74/1.61 subsumption: (49) {G0,W6,D2,L3,V1,M1} I { ! alpha16( X ), p101( X ),
% 0.74/1.61 alpha23( X ) }.
% 0.74/1.61 parent0: (2134) {G0,W6,D2,L3,V1,M3} { ! alpha16( X ), alpha23( X ), p101(
% 0.74/1.61 X ) }.
% 0.74/1.61 substitution0:
% 0.74/1.61 X := X
% 0.74/1.61 end
% 0.74/1.61 permutation0:
% 0.74/1.61 0 ==> 0
% 0.74/1.61 1 ==> 2
% 0.74/1.61 2 ==> 1
% 0.74/1.61 end
% 0.74/1.61
% 0.74/1.61 subsumption: (52) {G0,W4,D2,L2,V1,M1} I { ! alpha23( X ), alpha29( X ) }.
% 0.74/1.61 parent0: (2137) {G0,W4,D2,L2,V1,M2} { ! alpha23( X ), alpha29( X ) }.
% 0.74/1.61 substitution0:
% 0.74/1.61 X := X
% 0.74/1.61 end
% 0.74/1.61 permutation0:
% 0.74/1.61 0 ==> 0
% 0.74/1.61 1 ==> 1
% 0.74/1.61 end
% 0.74/1.61
% 0.74/1.61 *** allocated 384427 integers for termspace/termends
% 0.74/1.61 subsumption: (62) {G0,W5,D3,L2,V2,M1} I { p101( skol5( Y ) ), ! alpha29( X
% 0.74/1.61 ) }.
% 0.74/1.61 parent0: (2147) {G0,W5,D3,L2,V2,M2} { ! alpha29( X ), p101( skol5( Y ) )
% 0.74/1.61 }.
% 0.74/1.61 substitution0:
% 0.74/1.61 X := X
% 0.74/1.61 Y := Y
% 0.74/1.61 end
% 0.74/1.61 permutation0:
% 0.74/1.61 0 ==> 1
% 0.74/1.61 1 ==> 0
% 0.74/1.61 end
% 0.74/1.61
% 0.74/1.61 *** allocated 576640 integers for clauses
% 0.74/1.61 subsumption: (63) {G0,W6,D3,L2,V1,M1} I { ! alpha29( X ), alpha37( X, skol5
% 0.74/1.61 ( X ) ) }.
% 0.74/1.61 parent0: (2148) {G0,W6,D3,L2,V1,M2} { ! alpha29( X ), alpha37( X, skol5( X
% 0.74/1.61 ) ) }.
% 0.74/1.61 substitution0:
% 0.74/1.61 X := X
% 0.74/1.61 end
% 0.74/1.61 permutation0:
% 0.74/1.61 0 ==> 0
% 0.74/1.61 1 ==> 1
% 0.74/1.61 end
% 0.74/1.61
% 0.74/1.61 subsumption: (65) {G0,W6,D2,L2,V2,M1} I { r1( X, Y ), ! alpha37( X, Y ) }.
% 0.74/1.61 parent0: (2150) {G0,W6,D2,L2,V2,M2} { ! alpha37( X, Y ), r1( X, Y ) }.
% 0.74/1.61 substitution0:
% 0.74/1.61 X := X
% 0.74/1.61 Y := Y
% 0.74/1.61 end
% 0.74/1.61 permutation0:
% 0.74/1.61 0 ==> 1
% 0.74/1.61 1 ==> 0
% 0.74/1.61 end
% 0.74/1.61
% 0.74/1.61 subsumption: (67) {G0,W5,D2,L2,V2,M1} I { ! p102( Y ), ! alpha37( X, Y )
% 0.74/1.61 }.
% 0.74/1.61 parent0: (2152) {G0,W5,D2,L2,V2,M2} { ! alpha37( X, Y ), ! p102( Y ) }.
% 0.74/1.61 substitution0:
% 0.74/1.61 X := X
% 0.74/1.61 Y := Y
% 0.74/1.61 end
% 0.74/1.61 permutation0:
% 0.74/1.61 0 ==> 1
% 0.74/1.61 1 ==> 0
% 0.74/1.61 end
% 0.74/1.61
% 0.74/1.61 *** allocated 576640 integers for termspace/termends
% 0.74/1.61 subsumption: (70) {G0,W4,D2,L2,V1,M1} I { alpha11( X ), ! alpha5( X ) }.
% 0.74/1.61 parent0: (2155) {G0,W4,D2,L2,V1,M2} { ! alpha5( X ), alpha11( X ) }.
% 0.74/1.61 substitution0:
% 0.74/1.61 X := X
% 0.74/1.61 end
% 0.74/1.61 permutation0:
% 0.74/1.61 0 ==> 1
% 0.74/1.61 1 ==> 0
% 0.74/1.61 end
% 0.74/1.61
% 0.74/1.61 subsumption: (72) {G0,W6,D2,L3,V1,M1} I { ! alpha11( X ), ! p101( X ),
% 0.74/1.61 alpha17( X ) }.
% 0.74/1.61 parent0: (2157) {G0,W6,D2,L3,V1,M3} { ! alpha11( X ), alpha17( X ), ! p101
% 0.74/1.61 ( X ) }.
% 0.74/1.61 substitution0:
% 0.74/1.61 X := X
% 0.74/1.61 end
% 0.74/1.61 permutation0:
% 0.74/1.61 0 ==> 0
% 0.74/1.61 1 ==> 2
% 0.74/1.61 2 ==> 1
% 0.74/1.61 end
% 0.74/1.61
% 0.74/1.61 subsumption: (75) {G0,W6,D2,L3,V1,M1} I { ! alpha17( X ), p102( X ),
% 0.74/1.61 alpha24( X ) }.
% 0.74/1.61 parent0: (2160) {G0,W6,D2,L3,V1,M3} { ! alpha17( X ), alpha24( X ), p102(
% 1.33/1.69 X ) }.
% 1.33/1.69 substitution0:
% 1.33/1.69 X := X
% 1.33/1.69 end
% 1.33/1.69 permutation0:
% 1.33/1.69 0 ==> 0
% 1.33/1.69 1 ==> 2
% 1.33/1.69 2 ==> 1
% 1.33/1.69 end
% 1.33/1.69
% 1.33/1.69 *** allocated 864960 integers for clauses
% 1.33/1.69 subsumption: (78) {G0,W4,D2,L2,V1,M1} I { ! alpha24( X ), alpha30( X ) }.
% 1.33/1.69 parent0: (2163) {G0,W4,D2,L2,V1,M2} { ! alpha24( X ), alpha30( X ) }.
% 1.33/1.69 substitution0:
% 1.33/1.69 X := X
% 1.33/1.69 end
% 1.33/1.69 permutation0:
% 1.33/1.69 0 ==> 0
% 1.33/1.69 1 ==> 1
% 1.33/1.69 end
% 1.33/1.69
% 1.33/1.69 subsumption: (89) {G0,W6,D3,L2,V1,M1} I { ! alpha30( X ), alpha39( X, skol7
% 1.33/1.69 ( X ) ) }.
% 1.33/1.69 parent0: (2174) {G0,W6,D3,L2,V1,M2} { ! alpha30( X ), alpha39( X, skol7( X
% 1.33/1.69 ) ) }.
% 1.33/1.69 substitution0:
% 1.33/1.69 X := X
% 1.33/1.69 end
% 1.33/1.69 permutation0:
% 1.33/1.69 0 ==> 0
% 1.33/1.69 1 ==> 1
% 1.33/1.69 end
% 1.33/1.69
% 1.33/1.69 subsumption: (91) {G0,W6,D2,L2,V2,M1} I { r1( X, Y ), ! alpha39( X, Y ) }.
% 1.33/1.69 parent0: (2176) {G0,W6,D2,L2,V2,M2} { ! alpha39( X, Y ), r1( X, Y ) }.
% 1.33/1.69 substitution0:
% 1.33/1.69 X := X
% 1.33/1.69 Y := Y
% 1.33/1.69 end
% 1.33/1.69 permutation0:
% 1.33/1.69 0 ==> 1
% 1.33/1.69 1 ==> 0
% 1.33/1.69 end
% 1.33/1.69
% 1.33/1.69 subsumption: (92) {G0,W5,D2,L2,V2,M1} I { ! p3( Y ), ! alpha39( X, Y ) }.
% 1.33/1.69 parent0: (2177) {G0,W5,D2,L2,V2,M2} { ! alpha39( X, Y ), ! p3( Y ) }.
% 1.33/1.69 substitution0:
% 1.33/1.69 X := X
% 1.33/1.69 Y := Y
% 1.33/1.69 end
% 1.33/1.69 permutation0:
% 1.33/1.69 0 ==> 1
% 1.33/1.69 1 ==> 0
% 1.33/1.69 end
% 1.33/1.69
% 1.33/1.69 factor: (24083) {G0,W14,D2,L5,V3,M5} { alpha8( X ), ! r1( X, Y ), ! r1( Y
% 1.33/1.69 , Z ), ! r1( Z, X ), ! r1( skol1, Z ) }.
% 1.33/1.69 parent0[3, 5]: (2) {G0,W17,D2,L6,V5,M5} I { alpha8( U ), ! r1( Y, Z ), ! r1
% 1.33/1.69 ( Z, T ), ! r1( T, U ), ! r1( skol1, X ), ! r1( X, Y ) }.
% 1.33/1.69 substitution0:
% 1.33/1.69 X := Z
% 1.33/1.69 Y := X
% 1.33/1.69 Z := Y
% 1.33/1.69 T := Z
% 1.33/1.69 U := X
% 1.33/1.69 end
% 1.33/1.69
% 1.33/1.69 subsumption: (181) {G1,W14,D2,L5,V3,M4} F(2) { alpha8( X ), ! r1( Y, Z ), !
% 1.33/1.69 r1( Z, X ), ! r1( skol1, Z ), ! r1( X, Y ) }.
% 1.33/1.69 parent0: (24083) {G0,W14,D2,L5,V3,M5} { alpha8( X ), ! r1( X, Y ), ! r1( Y
% 1.33/1.69 , Z ), ! r1( Z, X ), ! r1( skol1, Z ) }.
% 1.33/1.69 substitution0:
% 1.33/1.69 X := X
% 1.33/1.69 Y := Y
% 1.33/1.69 Z := Z
% 1.33/1.69 end
% 1.33/1.69 permutation0:
% 1.33/1.69 0 ==> 0
% 1.33/1.69 1 ==> 4
% 1.33/1.69 2 ==> 1
% 1.33/1.69 3 ==> 2
% 1.33/1.69 4 ==> 3
% 1.33/1.69 end
% 1.33/1.69
% 1.33/1.69 factor: (24099) {G1,W11,D2,L4,V1,M4} { alpha8( X ), ! r1( X, X ), ! r1(
% 1.33/1.69 skol1, X ), ! r1( X, X ) }.
% 1.33/1.69 parent0[1, 2]: (181) {G1,W14,D2,L5,V3,M4} F(2) { alpha8( X ), ! r1( Y, Z )
% 1.33/1.69 , ! r1( Z, X ), ! r1( skol1, Z ), ! r1( X, Y ) }.
% 1.33/1.69 substitution0:
% 1.33/1.69 X := X
% 1.33/1.69 Y := X
% 1.33/1.69 Z := X
% 1.33/1.69 end
% 1.33/1.69
% 1.33/1.69 factor: (24104) {G1,W8,D2,L3,V1,M3} { alpha8( X ), ! r1( X, X ), ! r1(
% 1.33/1.69 skol1, X ) }.
% 1.33/1.69 parent0[1, 3]: (24099) {G1,W11,D2,L4,V1,M4} { alpha8( X ), ! r1( X, X ), !
% 1.33/1.69 r1( skol1, X ), ! r1( X, X ) }.
% 1.33/1.69 substitution0:
% 1.33/1.69 X := X
% 1.33/1.69 end
% 1.33/1.69
% 1.33/1.69 resolution: (24111) {G1,W5,D2,L2,V1,M2} { alpha8( X ), ! r1( skol1, X )
% 1.33/1.69 }.
% 1.33/1.69 parent0[1]: (24104) {G1,W8,D2,L3,V1,M3} { alpha8( X ), ! r1( X, X ), ! r1
% 1.33/1.69 ( skol1, X ) }.
% 1.33/1.69 parent1[0]: (0) {G0,W3,D2,L1,V1,M1} I { r1( X, X ) }.
% 1.33/1.69 substitution0:
% 1.33/1.69 X := X
% 1.33/1.69 end
% 1.33/1.69 substitution1:
% 1.33/1.69 X := X
% 1.33/1.69 end
% 1.33/1.69
% 1.33/1.69 subsumption: (182) {G2,W5,D2,L2,V1,M1} F(181);f;r(0) { alpha8( X ), ! r1(
% 1.33/1.69 skol1, X ) }.
% 1.33/1.69 parent0: (24111) {G1,W5,D2,L2,V1,M2} { alpha8( X ), ! r1( skol1, X ) }.
% 1.33/1.69 substitution0:
% 1.33/1.69 X := X
% 1.33/1.69 end
% 1.33/1.69 permutation0:
% 1.33/1.69 0 ==> 0
% 1.33/1.69 1 ==> 1
% 1.33/1.69 end
% 1.33/1.69
% 1.33/1.69 factor: (24114) {G1,W11,D2,L4,V1,M4} { alpha8( skol1 ), ! r1( X, X ), ! r1
% 1.33/1.69 ( X, skol1 ), ! r1( skol1, X ) }.
% 1.33/1.69 parent0[3, 4]: (181) {G1,W14,D2,L5,V3,M4} F(2) { alpha8( X ), ! r1( Y, Z )
% 1.33/1.69 , ! r1( Z, X ), ! r1( skol1, Z ), ! r1( X, Y ) }.
% 1.33/1.69 substitution0:
% 1.33/1.69 X := skol1
% 1.33/1.69 Y := X
% 1.33/1.69 Z := X
% 1.33/1.69 end
% 1.33/1.69
% 1.33/1.69 resolution: (24123) {G1,W8,D2,L3,V1,M3} { alpha8( skol1 ), ! r1( X, skol1
% 1.33/1.69 ), ! r1( skol1, X ) }.
% 1.33/1.69 parent0[1]: (24114) {G1,W11,D2,L4,V1,M4} { alpha8( skol1 ), ! r1( X, X ),
% 1.33/1.69 ! r1( X, skol1 ), ! r1( skol1, X ) }.
% 1.33/1.69 parent1[0]: (0) {G0,W3,D2,L1,V1,M1} I { r1( X, X ) }.
% 1.33/1.69 substitution0:
% 1.33/1.69 X := X
% 1.33/1.69 end
% 1.33/1.69 substitution1:
% 1.33/1.69 X := X
% 1.33/1.69 end
% 1.33/1.69
% 1.33/1.69 subsumption: (184) {G2,W8,D2,L3,V1,M2} F(181);r(0) { alpha8( skol1 ), ! r1
% 1.33/1.69 ( skol1, X ), ! r1( X, skol1 ) }.
% 1.33/1.69 parent0: (24123) {G1,W8,D2,L3,V1,M3} { alpha8( skol1 ), ! r1( X, skol1 ),
% 1.33/1.69 ! r1( skol1, X ) }.
% 1.33/1.69 substitution0:
% 1.33/1.69 X := X
% 1.33/1.69 end
% 1.33/1.69 permutation0:
% 1.33/1.69 0 ==> 0
% 1.33/1.69 1 ==> 2
% 1.33/1.69 2 ==> 1
% 1.33/1.69 end
% 1.33/1.69
% 1.33/1.69 factor: (24125) {G2,W5,D2,L2,V0,M2} { alpha8( skol1 ), ! r1( skol1, skol1
% 1.33/1.69 ) }.
% 1.33/1.69 parent0[1, 2]: (184) {G2,W8,D2,L3,V1,M2} F(181);r(0) { alpha8( skol1 ), !
% 1.33/1.69 r1( skol1, X ), ! r1( X, skol1 ) }.
% 1.33/1.69 substitution0:
% 1.33/1.69 X := skol1
% 1.33/1.69 end
% 1.33/1.69
% 1.33/1.69 resolution: (24126) {G1,W2,D2,L1,V0,M1} { alpha8( skol1 ) }.
% 1.33/1.69 parent0[1]: (24125) {G2,W5,D2,L2,V0,M2} { alpha8( skol1 ), ! r1( skol1,
% 1.33/1.69 skol1 ) }.
% 1.33/1.69 parent1[0]: (0) {G0,W3,D2,L1,V1,M1} I { r1( X, X ) }.
% 1.33/1.69 substitution0:
% 1.33/1.69 end
% 1.33/1.69 substitution1:
% 1.33/1.69 X := skol1
% 1.33/1.69 end
% 1.33/1.69
% 1.33/1.69 subsumption: (185) {G3,W2,D2,L1,V0,M1} F(184);r(0) { alpha8( skol1 ) }.
% 1.33/1.69 parent0: (24126) {G1,W2,D2,L1,V0,M1} { alpha8( skol1 ) }.
% 1.33/1.69 substitution0:
% 1.33/1.69 end
% 1.33/1.69 permutation0:
% 1.33/1.69 0 ==> 0
% 1.33/1.69 end
% 1.33/1.69
% 1.33/1.69 resolution: (24127) {G1,W4,D2,L2,V1,M2} { alpha11( X ), ! alpha2( X ) }.
% 1.33/1.69 parent0[1]: (70) {G0,W4,D2,L2,V1,M1} I { alpha11( X ), ! alpha5( X ) }.
% 1.33/1.69 parent1[1]: (43) {G0,W4,D2,L2,V1,M1} I { ! alpha2( X ), alpha5( X ) }.
% 1.33/1.69 substitution0:
% 1.33/1.69 X := X
% 1.33/1.69 end
% 1.33/1.69 substitution1:
% 1.33/1.69 X := X
% 1.33/1.69 end
% 1.33/1.69
% 1.33/1.69 subsumption: (321) {G1,W4,D2,L2,V1,M1} R(43,70) { alpha11( X ), ! alpha2( X
% 1.33/1.69 ) }.
% 1.33/1.69 parent0: (24127) {G1,W4,D2,L2,V1,M2} { alpha11( X ), ! alpha2( X ) }.
% 1.33/1.69 substitution0:
% 1.33/1.69 X := X
% 1.33/1.69 end
% 1.33/1.69 permutation0:
% 1.33/1.69 0 ==> 0
% 1.33/1.69 1 ==> 1
% 1.33/1.69 end
% 1.33/1.69
% 1.33/1.69 resolution: (24128) {G1,W2,D2,L1,V0,M1} { alpha2( skol1 ) }.
% 1.33/1.69 parent0[1]: (20) {G0,W4,D2,L2,V1,M1} I { alpha2( X ), ! alpha8( X ) }.
% 1.33/1.69 parent1[0]: (185) {G3,W2,D2,L1,V0,M1} F(184);r(0) { alpha8( skol1 ) }.
% 1.33/1.69 substitution0:
% 1.33/1.69 X := skol1
% 1.33/1.69 end
% 1.33/1.69 substitution1:
% 1.33/1.69 end
% 1.33/1.69
% 1.33/1.69 subsumption: (328) {G4,W2,D2,L1,V0,M1} R(20,185) { alpha2( skol1 ) }.
% 1.33/1.69 parent0: (24128) {G1,W2,D2,L1,V0,M1} { alpha2( skol1 ) }.
% 1.33/1.69 substitution0:
% 1.33/1.69 end
% 1.33/1.69 permutation0:
% 1.33/1.69 0 ==> 0
% 1.33/1.69 end
% 1.33/1.69
% 1.33/1.69 resolution: (24129) {G1,W2,D2,L1,V0,M1} { alpha10( skol1 ) }.
% 1.33/1.69 parent0[1]: (44) {G0,W4,D2,L2,V1,M1} I { alpha10( X ), ! alpha2( X ) }.
% 1.33/1.69 parent1[0]: (328) {G4,W2,D2,L1,V0,M1} R(20,185) { alpha2( skol1 ) }.
% 1.33/1.69 substitution0:
% 1.33/1.69 X := skol1
% 1.33/1.69 end
% 1.33/1.69 substitution1:
% 1.33/1.69 end
% 1.33/1.69
% 1.33/1.69 subsumption: (331) {G5,W2,D2,L1,V0,M1} R(328,44) { alpha10( skol1 ) }.
% 1.33/1.69 parent0: (24129) {G1,W2,D2,L1,V0,M1} { alpha10( skol1 ) }.
% 1.33/1.69 substitution0:
% 1.33/1.69 end
% 1.33/1.69 permutation0:
% 1.33/1.69 0 ==> 0
% 1.33/1.69 end
% 1.33/1.69
% 1.33/1.69 resolution: (24130) {G1,W5,D3,L2,V2,M2} { p101( skol5( X ) ), ! alpha23( Y
% 1.33/1.69 ) }.
% 1.33/1.69 parent0[1]: (62) {G0,W5,D3,L2,V2,M1} I { p101( skol5( Y ) ), ! alpha29( X )
% 1.33/1.69 }.
% 1.33/1.69 parent1[1]: (52) {G0,W4,D2,L2,V1,M1} I { ! alpha23( X ), alpha29( X ) }.
% 1.33/1.69 substitution0:
% 1.33/1.69 X := Y
% 1.33/1.69 Y := X
% 1.33/1.69 end
% 1.33/1.69 substitution1:
% 1.33/1.69 X := Y
% 1.33/1.69 end
% 1.33/1.69
% 1.33/1.69 subsumption: (490) {G1,W5,D3,L2,V2,M1} R(62,52) { p101( skol5( X ) ), !
% 1.33/1.69 alpha23( Y ) }.
% 1.33/1.69 parent0: (24130) {G1,W5,D3,L2,V2,M2} { p101( skol5( X ) ), ! alpha23( Y )
% 1.33/1.69 }.
% 1.33/1.69 substitution0:
% 1.33/1.69 X := X
% 1.33/1.69 Y := Y
% 1.33/1.69 end
% 1.33/1.69 permutation0:
% 1.33/1.69 0 ==> 0
% 1.33/1.69 1 ==> 1
% 1.33/1.69 end
% 1.33/1.69
% 1.33/1.69 resolution: (24131) {G1,W7,D3,L3,V2,M3} { p101( skol5( X ) ), ! alpha16( Y
% 1.33/1.69 ), p101( Y ) }.
% 1.33/1.69 parent0[1]: (490) {G1,W5,D3,L2,V2,M1} R(62,52) { p101( skol5( X ) ), !
% 1.33/1.69 alpha23( Y ) }.
% 1.33/1.69 parent1[2]: (49) {G0,W6,D2,L3,V1,M1} I { ! alpha16( X ), p101( X ), alpha23
% 1.33/1.69 ( X ) }.
% 1.33/1.69 substitution0:
% 1.33/1.69 X := X
% 1.33/1.69 Y := Y
% 1.33/1.69 end
% 1.33/1.69 substitution1:
% 1.33/1.69 X := Y
% 1.33/1.69 end
% 1.33/1.69
% 1.33/1.69 subsumption: (637) {G2,W7,D3,L3,V2,M1} R(49,490) { p101( X ), p101( skol5(
% 1.33/1.69 Y ) ), ! alpha16( X ) }.
% 1.33/1.69 parent0: (24131) {G1,W7,D3,L3,V2,M3} { p101( skol5( X ) ), ! alpha16( Y )
% 1.33/1.69 , p101( Y ) }.
% 1.33/1.69 substitution0:
% 1.33/1.69 X := Y
% 1.33/1.69 Y := X
% 1.33/1.69 end
% 1.33/1.69 permutation0:
% 1.33/1.69 0 ==> 1
% 1.33/1.69 1 ==> 2
% 1.33/1.69 2 ==> 0
% 1.33/1.69 end
% 1.33/1.69
% 1.33/1.69 resolution: (24133) {G1,W6,D3,L2,V1,M2} { r1( X, skol5( X ) ), ! alpha29(
% 1.33/1.69 X ) }.
% 1.33/1.69 parent0[1]: (65) {G0,W6,D2,L2,V2,M1} I { r1( X, Y ), ! alpha37( X, Y ) }.
% 1.33/1.69 parent1[1]: (63) {G0,W6,D3,L2,V1,M1} I { ! alpha29( X ), alpha37( X, skol5
% 1.33/1.69 ( X ) ) }.
% 1.33/1.69 substitution0:
% 1.33/1.69 X := X
% 1.33/1.69 Y := skol5( X )
% 1.33/1.69 end
% 1.33/1.69 substitution1:
% 1.33/1.69 X := X
% 1.33/1.69 end
% 1.33/1.69
% 1.33/1.69 subsumption: (654) {G1,W6,D3,L2,V1,M1} R(63,65) { ! alpha29( X ), r1( X,
% 1.33/1.69 skol5( X ) ) }.
% 1.33/1.69 parent0: (24133) {G1,W6,D3,L2,V1,M2} { r1( X, skol5( X ) ), ! alpha29( X )
% 1.33/1.69 }.
% 1.33/1.69 substitution0:
% 1.33/1.69 X := X
% 1.33/1.69 end
% 1.33/1.69 permutation0:
% 1.33/1.69 0 ==> 1
% 1.33/1.69 1 ==> 0
% 1.33/1.69 end
% 1.33/1.69
% 1.33/1.69 resolution: (24134) {G1,W5,D3,L2,V1,M2} { ! p102( skol5( X ) ), ! alpha29
% 1.33/1.69 ( X ) }.
% 1.33/1.69 parent0[1]: (67) {G0,W5,D2,L2,V2,M1} I { ! p102( Y ), ! alpha37( X, Y ) }.
% 1.33/1.69 parent1[1]: (63) {G0,W6,D3,L2,V1,M1} I { ! alpha29( X ), alpha37( X, skol5
% 1.33/1.69 ( X ) ) }.
% 1.33/1.69 substitution0:
% 1.33/1.69 X := X
% 1.33/1.69 Y := skol5( X )
% 1.33/1.69 end
% 1.33/1.69 substitution1:
% 1.33/1.69 X := X
% 1.33/1.69 end
% 1.33/1.69
% 1.33/1.69 subsumption: (656) {G1,W5,D3,L2,V1,M1} R(63,67) { ! p102( skol5( X ) ), !
% 1.33/1.69 alpha29( X ) }.
% 1.33/1.69 parent0: (24134) {G1,W5,D3,L2,V1,M2} { ! p102( skol5( X ) ), ! alpha29( X
% 1.33/1.69 ) }.
% 1.33/1.69 substitution0:
% 1.33/1.69 X := X
% 1.33/1.69 end
% 1.33/1.69 permutation0:
% 1.33/1.69 0 ==> 0
% 1.33/1.69 1 ==> 1
% 1.33/1.69 end
% 1.33/1.69
% 1.33/1.69 resolution: (24135) {G1,W5,D3,L2,V1,M2} { ! p102( skol5( X ) ), ! alpha23
% 1.33/1.69 ( X ) }.
% 1.33/1.69 parent0[1]: (656) {G1,W5,D3,L2,V1,M1} R(63,67) { ! p102( skol5( X ) ), !
% 1.33/1.69 alpha29( X ) }.
% 1.33/1.69 parent1[1]: (52) {G0,W4,D2,L2,V1,M1} I { ! alpha23( X ), alpha29( X ) }.
% 1.33/1.69 substitution0:
% 1.33/1.69 X := X
% 1.33/1.69 end
% 1.33/1.69 substitution1:
% 1.33/1.69 X := X
% 1.33/1.69 end
% 1.33/1.69
% 1.33/1.69 subsumption: (659) {G2,W5,D3,L2,V1,M1} R(656,52) { ! p102( skol5( X ) ), !
% 1.33/1.69 alpha23( X ) }.
% 1.33/1.69 parent0: (24135) {G1,W5,D3,L2,V1,M2} { ! p102( skol5( X ) ), ! alpha23( X
% 1.33/1.69 ) }.
% 1.33/1.69 substitution0:
% 1.33/1.69 X := X
% 1.33/1.69 end
% 1.33/1.69 permutation0:
% 1.33/1.69 0 ==> 0
% 1.33/1.69 1 ==> 1
% 1.33/1.69 end
% 1.33/1.69
% 1.33/1.69 resolution: (24136) {G1,W6,D3,L2,V1,M2} { r1( X, skol7( X ) ), ! alpha30(
% 1.33/1.69 X ) }.
% 1.33/1.69 parent0[1]: (91) {G0,W6,D2,L2,V2,M1} I { r1( X, Y ), ! alpha39( X, Y ) }.
% 1.33/1.69 parent1[1]: (89) {G0,W6,D3,L2,V1,M1} I { ! alpha30( X ), alpha39( X, skol7
% 1.33/1.69 ( X ) ) }.
% 1.33/1.69 substitution0:
% 1.33/1.69 X := X
% 1.33/1.69 Y := skol7( X )
% 1.33/1.69 end
% 1.33/1.69 substitution1:
% 1.33/1.69 X := X
% 1.33/1.69 end
% 1.33/1.69
% 1.33/1.69 subsumption: (710) {G1,W6,D3,L2,V1,M1} R(89,91) { ! alpha30( X ), r1( X,
% 1.33/1.69 skol7( X ) ) }.
% 1.33/1.69 parent0: (24136) {G1,W6,D3,L2,V1,M2} { r1( X, skol7( X ) ), ! alpha30( X )
% 1.33/1.69 }.
% 1.33/1.69 substitution0:
% 1.33/1.69 X := X
% 1.33/1.69 end
% 1.33/1.69 permutation0:
% 1.33/1.69 0 ==> 1
% 1.33/1.69 1 ==> 0
% 1.33/1.69 end
% 1.33/1.69
% 1.33/1.69 resolution: (24137) {G1,W5,D3,L2,V1,M2} { ! p3( skol7( X ) ), ! alpha30( X
% 1.33/1.69 ) }.
% 1.33/1.69 parent0[1]: (92) {G0,W5,D2,L2,V2,M1} I { ! p3( Y ), ! alpha39( X, Y ) }.
% 1.33/1.69 parent1[1]: (89) {G0,W6,D3,L2,V1,M1} I { ! alpha30( X ), alpha39( X, skol7
% 1.33/1.69 ( X ) ) }.
% 1.33/1.69 substitution0:
% 1.33/1.69 X := X
% 1.33/1.69 Y := skol7( X )
% 1.33/1.69 end
% 1.33/1.69 substitution1:
% 1.33/1.69 X := X
% 1.33/1.69 end
% 1.33/1.69
% 1.33/1.69 subsumption: (711) {G1,W5,D3,L2,V1,M1} R(89,92) { ! p3( skol7( X ) ), !
% 1.33/1.69 alpha30( X ) }.
% 1.33/1.69 parent0: (24137) {G1,W5,D3,L2,V1,M2} { ! p3( skol7( X ) ), ! alpha30( X )
% 1.33/1.69 }.
% 1.33/1.69 substitution0:
% 1.33/1.69 X := X
% 1.33/1.69 end
% 1.33/1.69 permutation0:
% 1.33/1.69 0 ==> 0
% 1.33/1.69 1 ==> 1
% 1.33/1.69 end
% 1.33/1.69
% 1.33/1.69 resolution: (24140) {G1,W17,D3,L6,V4,M6} { p3( skol7( X ) ), ! r1( Y, Z )
% 1.33/1.69 , ! r1( Z, X ), ! r1( skol1, T ), ! r1( T, Y ), ! alpha30( X ) }.
% 1.33/1.69 parent0[3]: (1) {G0,W17,D2,L6,V5,M5} I { p3( U ), ! r1( Y, Z ), ! r1( Z, T
% 1.33/1.69 ), ! r1( T, U ), ! r1( skol1, X ), ! r1( X, Y ) }.
% 1.33/1.69 parent1[1]: (710) {G1,W6,D3,L2,V1,M1} R(89,91) { ! alpha30( X ), r1( X,
% 1.33/1.69 skol7( X ) ) }.
% 1.33/1.69 substitution0:
% 1.33/1.69 X := T
% 1.33/1.69 Y := Y
% 1.33/1.69 Z := Z
% 1.33/1.69 T := X
% 1.33/1.69 U := skol7( X )
% 1.33/1.69 end
% 1.33/1.69 substitution1:
% 1.33/1.69 X := X
% 1.33/1.69 end
% 1.33/1.69
% 1.33/1.69 resolution: (24250) {G2,W16,D2,L6,V4,M6} { ! alpha30( X ), ! r1( Y, Z ), !
% 1.33/1.69 r1( Z, X ), ! r1( skol1, T ), ! r1( T, Y ), ! alpha30( X ) }.
% 1.33/1.69 parent0[0]: (711) {G1,W5,D3,L2,V1,M1} R(89,92) { ! p3( skol7( X ) ), !
% 1.33/1.69 alpha30( X ) }.
% 1.33/1.69 parent1[0]: (24140) {G1,W17,D3,L6,V4,M6} { p3( skol7( X ) ), ! r1( Y, Z )
% 1.33/1.69 , ! r1( Z, X ), ! r1( skol1, T ), ! r1( T, Y ), ! alpha30( X ) }.
% 1.33/1.69 substitution0:
% 1.33/1.69 X := X
% 1.33/1.69 end
% 1.33/1.69 substitution1:
% 1.33/1.69 X := X
% 1.33/1.69 Y := Y
% 1.33/1.69 Z := Z
% 1.33/1.69 T := T
% 1.33/1.69 end
% 1.33/1.69
% 1.33/1.69 factor: (24251) {G2,W14,D2,L5,V4,M5} { ! alpha30( X ), ! r1( Y, Z ), ! r1
% 1.33/1.69 ( Z, X ), ! r1( skol1, T ), ! r1( T, Y ) }.
% 1.33/1.69 parent0[0, 5]: (24250) {G2,W16,D2,L6,V4,M6} { ! alpha30( X ), ! r1( Y, Z )
% 1.33/1.69 , ! r1( Z, X ), ! r1( skol1, T ), ! r1( T, Y ), ! alpha30( X ) }.
% 1.33/1.69 substitution0:
% 1.33/1.69 X := X
% 1.33/1.69 Y := Y
% 1.33/1.69 Z := Z
% 1.33/1.69 T := T
% 1.33/1.69 end
% 1.33/1.69
% 1.33/1.69 subsumption: (722) {G2,W14,D2,L5,V4,M4} R(710,1);r(711) { ! alpha30( X ), !
% 1.33/1.69 r1( Z, X ), ! r1( skol1, T ), ! r1( T, Y ), ! r1( Y, Z ) }.
% 1.33/1.69 parent0: (24251) {G2,W14,D2,L5,V4,M5} { ! alpha30( X ), ! r1( Y, Z ), ! r1
% 1.33/1.69 ( Z, X ), ! r1( skol1, T ), ! r1( T, Y ) }.
% 1.33/1.69 substitution0:
% 1.33/1.69 X := X
% 1.33/1.69 Y := Y
% 1.33/1.69 Z := Z
% 1.33/1.69 T := T
% 1.33/1.69 end
% 1.33/1.69 permutation0:
% 1.33/1.69 0 ==> 0
% 1.33/1.69 1 ==> 4
% 1.33/1.69 2 ==> 1
% 1.33/1.69 3 ==> 2
% 1.33/1.69 4 ==> 3
% 1.33/1.69 end
% 1.33/1.69
% 1.33/1.69 factor: (24274) {G2,W11,D2,L4,V2,M4} { ! alpha30( X ), ! r1( Y, X ), ! r1
% 1.33/1.69 ( skol1, Y ), ! r1( X, Y ) }.
% 1.33/1.69 parent0[1, 3]: (722) {G2,W14,D2,L5,V4,M4} R(710,1);r(711) { ! alpha30( X )
% 1.33/1.69 , ! r1( Z, X ), ! r1( skol1, T ), ! r1( T, Y ), ! r1( Y, Z ) }.
% 1.33/1.69 substitution0:
% 1.33/1.69 X := X
% 1.33/1.69 Y := X
% 1.33/1.69 Z := Y
% 1.33/1.69 T := Y
% 1.33/1.69 end
% 1.33/1.69
% 1.33/1.69 subsumption: (724) {G3,W11,D2,L4,V2,M3} F(722) { ! alpha30( X ), ! r1(
% 1.33/1.69 skol1, Y ), ! r1( X, Y ), ! r1( Y, X ) }.
% 1.33/1.69 parent0: (24274) {G2,W11,D2,L4,V2,M4} { ! alpha30( X ), ! r1( Y, X ), ! r1
% 1.33/1.69 ( skol1, Y ), ! r1( X, Y ) }.
% 1.33/1.69 substitution0:
% 1.33/1.69 X := X
% 1.33/1.69 Y := Y
% 1.33/1.69 end
% 1.33/1.69 permutation0:
% 1.33/1.69 0 ==> 0
% 1.33/1.69 1 ==> 3
% 1.33/1.69 2 ==> 1
% 1.33/1.69 3 ==> 2
% 1.33/1.69 end
% 1.33/1.69
% 1.33/1.69 factor: (24285) {G3,W8,D2,L3,V1,M3} { ! alpha30( X ), ! r1( skol1, X ), !
% 1.33/1.69 r1( X, X ) }.
% 1.33/1.69 parent0[2, 3]: (724) {G3,W11,D2,L4,V2,M3} F(722) { ! alpha30( X ), ! r1(
% 1.33/1.69 skol1, Y ), ! r1( X, Y ), ! r1( Y, X ) }.
% 1.33/1.69 substitution0:
% 1.33/1.69 X := X
% 1.33/1.69 Y := X
% 1.33/1.69 end
% 1.33/1.69
% 1.33/1.69 resolution: (24288) {G1,W5,D2,L2,V1,M2} { ! alpha30( X ), ! r1( skol1, X )
% 1.33/1.69 }.
% 1.33/1.69 parent0[2]: (24285) {G3,W8,D2,L3,V1,M3} { ! alpha30( X ), ! r1( skol1, X )
% 1.33/1.69 , ! r1( X, X ) }.
% 1.33/1.69 parent1[0]: (0) {G0,W3,D2,L1,V1,M1} I { r1( X, X ) }.
% 1.33/1.69 substitution0:
% 1.33/1.69 X := X
% 1.33/1.69 end
% 1.33/1.69 substitution1:
% 1.33/1.69 X := X
% 1.33/1.69 end
% 1.33/1.69
% 1.33/1.69 subsumption: (726) {G4,W5,D2,L2,V1,M1} F(724);r(0) { ! alpha30( X ), ! r1(
% 1.33/1.69 skol1, X ) }.
% 1.33/1.69 parent0: (24288) {G1,W5,D2,L2,V1,M2} { ! alpha30( X ), ! r1( skol1, X )
% 1.33/1.69 }.
% 1.33/1.69 substitution0:
% 1.33/1.69 X := X
% 1.33/1.69 end
% 1.33/1.69 permutation0:
% 1.33/1.69 0 ==> 0
% 1.33/1.69 1 ==> 1
% 1.33/1.69 end
% 1.33/1.69
% 1.33/1.69 resolution: (24289) {G2,W5,D3,L2,V0,M2} { ! alpha30( skol5( skol1 ) ), !
% 1.33/1.69 alpha29( skol1 ) }.
% 1.33/1.69 parent0[1]: (726) {G4,W5,D2,L2,V1,M1} F(724);r(0) { ! alpha30( X ), ! r1(
% 1.33/1.69 skol1, X ) }.
% 1.33/1.69 parent1[1]: (654) {G1,W6,D3,L2,V1,M1} R(63,65) { ! alpha29( X ), r1( X,
% 1.33/1.69 skol5( X ) ) }.
% 1.33/1.69 substitution0:
% 1.33/1.69 X := skol5( skol1 )
% 1.33/1.69 end
% 1.33/1.69 substitution1:
% 1.33/1.69 X := skol1
% 1.33/1.69 end
% 1.33/1.69
% 1.33/1.69 subsumption: (952) {G5,W5,D3,L2,V0,M1} R(654,726) { ! alpha29( skol1 ), !
% 1.33/1.69 alpha30( skol5( skol1 ) ) }.
% 1.33/1.69 parent0: (24289) {G2,W5,D3,L2,V0,M2} { ! alpha30( skol5( skol1 ) ), !
% 1.33/1.69 alpha29( skol1 ) }.
% 1.33/1.69 substitution0:
% 1.33/1.69 end
% 1.33/1.69 permutation0:
% 1.33/1.69 0 ==> 1
% 1.33/1.69 1 ==> 0
% 1.33/1.69 end
% 1.33/1.69
% 1.33/1.69 resolution: (24290) {G2,W5,D3,L2,V0,M2} { alpha8( skol5( skol1 ) ), !
% 1.33/1.69 alpha29( skol1 ) }.
% 1.33/1.69 parent0[1]: (182) {G2,W5,D2,L2,V1,M1} F(181);f;r(0) { alpha8( X ), ! r1(
% 1.33/1.69 skol1, X ) }.
% 1.33/1.69 parent1[1]: (654) {G1,W6,D3,L2,V1,M1} R(63,65) { ! alpha29( X ), r1( X,
% 1.33/1.69 skol5( X ) ) }.
% 1.33/1.69 substitution0:
% 1.33/1.69 X := skol5( skol1 )
% 1.33/1.69 end
% 1.33/1.69 substitution1:
% 1.33/1.69 X := skol1
% 1.33/1.69 end
% 1.33/1.69
% 1.33/1.69 subsumption: (956) {G3,W5,D3,L2,V0,M1} R(654,182) { ! alpha29( skol1 ),
% 1.33/1.69 alpha8( skol5( skol1 ) ) }.
% 1.33/1.69 parent0: (24290) {G2,W5,D3,L2,V0,M2} { alpha8( skol5( skol1 ) ), ! alpha29
% 1.33/1.69 ( skol1 ) }.
% 1.33/1.69 substitution0:
% 1.33/1.69 end
% 1.33/1.69 permutation0:
% 1.33/1.69 0 ==> 1
% 1.33/1.69 1 ==> 0
% 1.33/1.69 end
% 1.33/1.69
% 1.33/1.69 resolution: (24291) {G1,W5,D3,L2,V0,M2} { ! alpha29( skol1 ), ! alpha24(
% 1.33/1.69 skol5( skol1 ) ) }.
% 1.33/1.69 parent0[1]: (952) {G5,W5,D3,L2,V0,M1} R(654,726) { ! alpha29( skol1 ), !
% 1.33/1.69 alpha30( skol5( skol1 ) ) }.
% 1.33/1.69 parent1[1]: (78) {G0,W4,D2,L2,V1,M1} I { ! alpha24( X ), alpha30( X ) }.
% 1.33/1.69 substitution0:
% 1.33/1.69 end
% 1.33/1.69 substitution1:
% 1.33/1.69 X := skol5( skol1 )
% 1.33/1.69 end
% 1.33/1.69
% 1.33/1.69 subsumption: (957) {G6,W5,D3,L2,V0,M1} R(952,78) { ! alpha24( skol5( skol1
% 1.33/1.69 ) ), ! alpha29( skol1 ) }.
% 1.33/1.69 parent0: (24291) {G1,W5,D3,L2,V0,M2} { ! alpha29( skol1 ), ! alpha24(
% 1.33/1.69 skol5( skol1 ) ) }.
% 1.33/1.69 substitution0:
% 1.33/1.69 end
% 1.33/1.69 permutation0:
% 1.33/1.69 0 ==> 1
% 1.33/1.69 1 ==> 0
% 1.33/1.69 end
% 1.33/1.69
% 1.33/1.69 resolution: (24292) {G1,W5,D3,L2,V0,M2} { ! alpha24( skol5( skol1 ) ), !
% 1.33/1.69 alpha23( skol1 ) }.
% 1.33/1.69 parent0[1]: (957) {G6,W5,D3,L2,V0,M1} R(952,78) { ! alpha24( skol5( skol1 )
% 1.33/1.69 ), ! alpha29( skol1 ) }.
% 1.33/1.69 parent1[1]: (52) {G0,W4,D2,L2,V1,M1} I { ! alpha23( X ), alpha29( X ) }.
% 1.33/1.69 substitution0:
% 1.33/1.69 end
% 1.33/1.69 substitution1:
% 1.33/1.69 X := skol1
% 1.33/1.69 end
% 1.33/1.69
% 1.33/1.69 subsumption: (958) {G7,W5,D3,L2,V0,M1} R(957,52) { ! alpha23( skol1 ), !
% 1.33/1.69 alpha24( skol5( skol1 ) ) }.
% 1.33/1.69 parent0: (24292) {G1,W5,D3,L2,V0,M2} { ! alpha24( skol5( skol1 ) ), !
% 1.33/1.69 alpha23( skol1 ) }.
% 1.33/1.69 substitution0:
% 1.33/1.69 end
% 1.33/1.69 permutation0:
% 1.33/1.69 0 ==> 1
% 1.33/1.69 1 ==> 0
% 1.33/1.69 end
% 1.33/1.69
% 1.33/1.69 resolution: (24293) {G1,W8,D3,L3,V0,M3} { ! alpha23( skol1 ), ! alpha17(
% 1.33/1.69 skol5( skol1 ) ), p102( skol5( skol1 ) ) }.
% 1.33/1.69 parent0[1]: (958) {G7,W5,D3,L2,V0,M1} R(957,52) { ! alpha23( skol1 ), !
% 1.33/1.69 alpha24( skol5( skol1 ) ) }.
% 1.33/1.69 parent1[2]: (75) {G0,W6,D2,L3,V1,M1} I { ! alpha17( X ), p102( X ), alpha24
% 1.33/1.69 ( X ) }.
% 1.33/1.69 substitution0:
% 1.33/1.69 end
% 1.33/1.69 substitution1:
% 1.33/1.69 X := skol5( skol1 )
% 1.33/1.69 end
% 1.33/1.69
% 1.33/1.69 resolution: (24294) {G2,W7,D3,L3,V0,M3} { ! alpha23( skol1 ), ! alpha23(
% 1.33/1.69 skol1 ), ! alpha17( skol5( skol1 ) ) }.
% 1.33/1.69 parent0[0]: (659) {G2,W5,D3,L2,V1,M1} R(656,52) { ! p102( skol5( X ) ), !
% 1.33/1.69 alpha23( X ) }.
% 1.33/1.69 parent1[2]: (24293) {G1,W8,D3,L3,V0,M3} { ! alpha23( skol1 ), ! alpha17(
% 1.33/1.69 skol5( skol1 ) ), p102( skol5( skol1 ) ) }.
% 1.33/1.69 substitution0:
% 1.33/1.69 X := skol1
% 1.33/1.69 end
% 1.33/1.69 substitution1:
% 1.33/1.69 end
% 1.33/1.69
% 1.33/1.69 factor: (24295) {G2,W5,D3,L2,V0,M2} { ! alpha23( skol1 ), ! alpha17( skol5
% 1.33/1.69 ( skol1 ) ) }.
% 1.33/1.69 parent0[0, 1]: (24294) {G2,W7,D3,L3,V0,M3} { ! alpha23( skol1 ), ! alpha23
% 1.33/1.69 ( skol1 ), ! alpha17( skol5( skol1 ) ) }.
% 1.33/1.69 substitution0:
% 1.33/1.69 end
% 1.33/1.69
% 1.33/1.69 subsumption: (959) {G8,W5,D3,L2,V0,M1} R(958,75);r(659) { ! alpha17( skol5
% 1.33/1.69 ( skol1 ) ), ! alpha23( skol1 ) }.
% 1.33/1.69 parent0: (24295) {G2,W5,D3,L2,V0,M2} { ! alpha23( skol1 ), ! alpha17(
% 1.33/1.69 skol5( skol1 ) ) }.
% 1.33/1.69 substitution0:
% 1.33/1.69 end
% 1.33/1.69 permutation0:
% 1.33/1.69 0 ==> 1
% 1.33/1.69 1 ==> 0
% 1.33/1.69 end
% 1.33/1.69
% 1.33/1.69 resolution: (24296) {G1,W7,D3,L3,V0,M3} { ! alpha17( skol5( skol1 ) ), !
% 1.33/1.69 alpha16( skol1 ), p101( skol1 ) }.
% 1.33/1.69 parent0[1]: (959) {G8,W5,D3,L2,V0,M1} R(958,75);r(659) { ! alpha17( skol5(
% 1.33/1.69 skol1 ) ), ! alpha23( skol1 ) }.
% 1.33/1.69 parent1[2]: (49) {G0,W6,D2,L3,V1,M1} I { ! alpha16( X ), p101( X ), alpha23
% 1.33/1.69 ( X ) }.
% 1.33/1.69 substitution0:
% 1.33/1.69 end
% 1.33/1.69 substitution1:
% 1.33/1.69 X := skol1
% 1.33/1.69 end
% 1.33/1.69
% 1.33/1.69 resolution: (24297) {G1,W5,D3,L2,V0,M2} { ! alpha17( skol5( skol1 ) ), !
% 1.33/1.69 alpha16( skol1 ) }.
% 1.33/1.69 parent0[0]: (18) {G0,W2,D2,L1,V0,M1} I { ! p101( skol1 ) }.
% 1.33/1.69 parent1[2]: (24296) {G1,W7,D3,L3,V0,M3} { ! alpha17( skol5( skol1 ) ), !
% 1.33/1.69 alpha16( skol1 ), p101( skol1 ) }.
% 1.33/1.69 substitution0:
% 1.33/1.69 end
% 1.33/1.69 substitution1:
% 1.33/1.69 end
% 1.33/1.69
% 1.33/1.69 subsumption: (960) {G9,W5,D3,L2,V0,M1} R(959,49);r(18) { ! alpha16( skol1 )
% 1.33/1.69 , ! alpha17( skol5( skol1 ) ) }.
% 1.33/1.69 parent0: (24297) {G1,W5,D3,L2,V0,M2} { ! alpha17( skol5( skol1 ) ), !
% 1.33/1.69 alpha16( skol1 ) }.
% 1.33/1.69 substitution0:
% 1.33/1.69 end
% 1.33/1.69 permutation0:
% 1.33/1.69 0 ==> 1
% 1.33/1.69 1 ==> 0
% 1.33/1.69 end
% 1.33/1.69
% 1.33/1.69 resolution: (24298) {G1,W8,D3,L3,V0,M3} { ! alpha16( skol1 ), ! alpha11(
% 1.33/1.69 skol5( skol1 ) ), ! p101( skol5( skol1 ) ) }.
% 1.33/1.69 parent0[1]: (960) {G9,W5,D3,L2,V0,M1} R(959,49);r(18) { ! alpha16( skol1 )
% 1.33/1.69 , ! alpha17( skol5( skol1 ) ) }.
% 1.33/1.69 parent1[2]: (72) {G0,W6,D2,L3,V1,M1} I { ! alpha11( X ), ! p101( X ),
% 1.33/1.69 alpha17( X ) }.
% 1.33/1.69 substitution0:
% 1.33/1.69 end
% 1.33/1.69 substitution1:
% 1.33/1.69 X := skol5( skol1 )
% 1.33/1.69 end
% 1.33/1.69
% 1.33/1.69 subsumption: (961) {G10,W8,D3,L3,V0,M1} R(960,72) { ! alpha11( skol5( skol1
% 1.33/1.69 ) ), ! p101( skol5( skol1 ) ), ! alpha16( skol1 ) }.
% 1.33/1.69 parent0: (24298) {G1,W8,D3,L3,V0,M3} { ! alpha16( skol1 ), ! alpha11(
% 1.33/1.69 skol5( skol1 ) ), ! p101( skol5( skol1 ) ) }.
% 1.33/1.69 substitution0:
% 1.33/1.69 end
% 1.33/1.69 permutation0:
% 1.33/1.69 0 ==> 2
% 1.33/1.69 1 ==> 0
% 1.33/1.69 2 ==> 1
% 1.33/1.69 end
% 1.33/1.69
% 1.33/1.69 resolution: (24299) {G1,W5,D3,L2,V0,M2} { alpha2( skol5( skol1 ) ), !
% 1.33/1.69 alpha29( skol1 ) }.
% 1.33/1.69 parent0[1]: (20) {G0,W4,D2,L2,V1,M1} I { alpha2( X ), ! alpha8( X ) }.
% 1.33/1.69 parent1[1]: (956) {G3,W5,D3,L2,V0,M1} R(654,182) { ! alpha29( skol1 ),
% 1.33/1.69 alpha8( skol5( skol1 ) ) }.
% 1.33/1.69 substitution0:
% 1.33/1.69 X := skol5( skol1 )
% 1.33/1.69 end
% 1.33/1.69 substitution1:
% 1.33/1.69 end
% 1.33/1.69
% 1.33/1.69 subsumption: (969) {G4,W5,D3,L2,V0,M1} R(956,20) { alpha2( skol5( skol1 ) )
% 1.33/1.69 , ! alpha29( skol1 ) }.
% 1.33/1.69 parent0: (24299) {G1,W5,D3,L2,V0,M2} { alpha2( skol5( skol1 ) ), ! alpha29
% 1.33/1.69 ( skol1 ) }.
% 1.33/1.69 substitution0:
% 1.33/1.69 end
% 1.33/1.69 permutation0:
% 1.33/1.69 0 ==> 0
% 1.33/1.69 1 ==> 1
% 1.33/1.69 end
% 1.33/1.69
% 1.33/1.69 resolution: (24300) {G1,W5,D3,L2,V0,M2} { alpha2( skol5( skol1 ) ), !
% 1.33/1.69 alpha23( skol1 ) }.
% 1.33/1.69 parent0[1]: (969) {G4,W5,D3,L2,V0,M1} R(956,20) { alpha2( skol5( skol1 ) )
% 1.33/1.69 , ! alpha29( skol1 ) }.
% 1.33/1.69 parent1[1]: (52) {G0,W4,D2,L2,V1,M1} I { ! alpha23( X ), alpha29( X ) }.
% 1.33/1.69 substitution0:
% 1.33/1.69 end
% 1.33/1.69 substitution1:
% 1.33/1.69 X := skol1
% 1.33/1.69 end
% 1.33/1.69
% 1.33/1.69 subsumption: (979) {G5,W5,D3,L2,V0,M1} R(969,52) { alpha2( skol5( skol1 ) )
% 1.33/1.69 , ! alpha23( skol1 ) }.
% 1.33/1.69 parent0: (24300) {G1,W5,D3,L2,V0,M2} { alpha2( skol5( skol1 ) ), ! alpha23
% 1.33/1.69 ( skol1 ) }.
% 1.33/1.69 substitution0:
% 1.33/1.69 end
% 1.33/1.69 permutation0:
% 1.33/1.69 0 ==> 0
% 1.33/1.69 1 ==> 1
% 1.33/1.69 end
% 1.33/1.69
% 1.33/1.69 resolution: (24301) {G1,W7,D3,L3,V0,M3} { alpha2( skol5( skol1 ) ), !
% 1.33/1.69 alpha16( skol1 ), p101( skol1 ) }.
% 1.33/1.69 parent0[1]: (979) {G5,W5,D3,L2,V0,M1} R(969,52) { alpha2( skol5( skol1 ) )
% 1.33/1.69 , ! alpha23( skol1 ) }.
% 1.33/1.69 parent1[2]: (49) {G0,W6,D2,L3,V1,M1} I { ! alpha16( X ), p101( X ), alpha23
% 1.33/1.69 ( X ) }.
% 1.33/1.69 substitution0:
% 1.33/1.69 end
% 1.33/1.69 substitution1:
% 1.33/1.69 X := skol1
% 1.33/1.69 end
% 1.33/1.69
% 1.33/1.69 resolution: (24302) {G1,W5,D3,L2,V0,M2} { alpha2( skol5( skol1 ) ), !
% 1.33/1.69 alpha16( skol1 ) }.
% 1.33/1.69 parent0[0]: (18) {G0,W2,D2,L1,V0,M1} I { ! p101( skol1 ) }.
% 1.33/1.69 parent1[2]: (24301) {G1,W7,D3,L3,V0,M3} { alpha2( skol5( skol1 ) ), !
% 1.33/1.69 alpha16( skol1 ), p101( skol1 ) }.
% 1.33/1.69 substitution0:
% 1.33/1.69 end
% 1.33/1.69 substitution1:
% 1.33/1.69 end
% 1.33/1.69
% 1.33/1.69 subsumption: (980) {G6,W5,D3,L2,V0,M1} R(979,49);r(18) { ! alpha16( skol1 )
% 1.33/1.69 , alpha2( skol5( skol1 ) ) }.
% 1.33/1.69 parent0: (24302) {G1,W5,D3,L2,V0,M2} { alpha2( skol5( skol1 ) ), ! alpha16
% 1.33/1.69 ( skol1 ) }.
% 1.33/1.69 substitution0:
% 1.33/1.69 end
% 1.33/1.69 permutation0:
% 1.33/1.69 0 ==> 1
% 1.33/1.69 1 ==> 0
% 1.33/1.69 end
% 1.33/1.69
% 1.33/1.69 resolution: (24303) {G2,W5,D3,L2,V0,M2} { alpha11( skol5( skol1 ) ), !
% 1.33/1.69 alpha16( skol1 ) }.
% 1.33/1.69 parent0[1]: (321) {G1,W4,D2,L2,V1,M1} R(43,70) { alpha11( X ), ! alpha2( X
% 1.33/1.69 ) }.
% 1.33/1.69 parent1[1]: (980) {G6,W5,D3,L2,V0,M1} R(979,49);r(18) { ! alpha16( skol1 )
% 1.33/1.69 , alpha2( skol5( skol1 ) ) }.
% 1.33/1.69 substitution0:
% 1.33/1.69 X := skol5( skol1 )
% 1.33/1.69 end
% 1.33/1.69 substitution1:
% 1.33/1.69 end
% 1.33/1.69
% 1.33/1.69 subsumption: (981) {G7,W5,D3,L2,V0,M1} R(980,321) { alpha11( skol5( skol1 )
% 1.33/1.69 ), ! alpha16( skol1 ) }.
% 1.33/1.69 parent0: (24303) {G2,W5,D3,L2,V0,M2} { alpha11( skol5( skol1 ) ), !
% 1.33/1.69 alpha16( skol1 ) }.
% 1.33/1.69 substitution0:
% 1.33/1.69 end
% 1.33/1.69 permutation0:
% 1.33/1.69 0 ==> 0
% 1.33/1.69 1 ==> 1
% 1.33/1.69 end
% 1.33/1.69
% 1.33/1.69 resolution: (24304) {G1,W7,D3,L3,V0,M3} { alpha11( skol5( skol1 ) ), !
% 1.33/1.69 alpha10( skol1 ), ! p100( skol1 ) }.
% 1.33/1.69 parent0[1]: (981) {G7,W5,D3,L2,V0,M1} R(980,321) { alpha11( skol5( skol1 )
% 1.33/1.69 ), ! alpha16( skol1 ) }.
% 1.33/1.69 parent1[2]: (46) {G0,W6,D2,L3,V1,M1} I { ! alpha10( X ), ! p100( X ),
% 1.33/1.69 alpha16( X ) }.
% 1.33/1.69 substitution0:
% 1.33/1.69 end
% 1.33/1.69 substitution1:
% 1.33/1.69 X := skol1
% 1.33/1.69 end
% 1.33/1.69
% 1.33/1.69 resolution: (24305) {G2,W5,D3,L2,V0,M2} { alpha11( skol5( skol1 ) ), !
% 1.33/1.69 p100( skol1 ) }.
% 1.33/1.69 parent0[1]: (24304) {G1,W7,D3,L3,V0,M3} { alpha11( skol5( skol1 ) ), !
% 1.33/1.69 alpha10( skol1 ), ! p100( skol1 ) }.
% 1.33/1.69 parent1[0]: (331) {G5,W2,D2,L1,V0,M1} R(328,44) { alpha10( skol1 ) }.
% 1.33/1.69 substitution0:
% 1.33/1.69 end
% 1.33/1.69 substitution1:
% 1.33/1.69 end
% 1.33/1.69
% 1.33/1.69 subsumption: (984) {G8,W5,D3,L2,V0,M1} R(981,46);r(331) { ! p100( skol1 ),
% 1.33/1.69 alpha11( skol5( skol1 ) ) }.
% 1.33/1.69 parent0: (24305) {G2,W5,D3,L2,V0,M2} { alpha11( skol5( skol1 ) ), ! p100(
% 1.33/1.69 skol1 ) }.
% 1.33/1.69 substitution0:
% 1.33/1.69 end
% 1.33/1.69 permutation0:
% 1.33/1.69 0 ==> 1
% 1.33/1.69 1 ==> 0
% 1.33/1.69 end
% 1.33/1.69
% 1.33/1.69 resolution: (24306) {G1,W3,D3,L1,V0,M1} { alpha11( skol5( skol1 ) ) }.
% 1.33/1.69 parent0[0]: (984) {G8,W5,D3,L2,V0,M1} R(981,46);r(331) { ! p100( skol1 ),
% 1.33/1.69 alpha11( skol5( skol1 ) ) }.
% 1.33/1.69 parent1[0]: (19) {G0,W2,D2,L1,V0,M1} I { p100( skol1 ) }.
% 1.33/1.69 substitution0:
% 1.33/1.69 end
% 1.33/1.69 substitution1:
% 1.33/1.69 end
% 1.33/1.69
% 1.33/1.69 subsumption: (985) {G9,W3,D3,L1,V0,M1} S(984);r(19) { alpha11( skol5( skol1
% 1.33/1.69 ) ) }.
% 1.33/1.69 parent0: (24306) {G1,W3,D3,L1,V0,M1} { alpha11( skol5( skol1 ) ) }.
% 1.33/1.69 substitution0:
% 1.33/1.69 end
% 1.33/1.69 permutation0:
% 1.33/1.69 0 ==> 0
% 1.33/1.69 end
% 1.33/1.69
% 1.33/1.69 resolution: (24307) {G1,W9,D3,L4,V2,M4} { p101( X ), p101( skol5( Y ) ), !
% 1.33/1.69 alpha10( X ), ! p100( X ) }.
% 1.33/1.69 parent0[2]: (637) {G2,W7,D3,L3,V2,M1} R(49,490) { p101( X ), p101( skol5( Y
% 1.33/1.69 ) ), ! alpha16( X ) }.
% 1.33/1.69 parent1[2]: (46) {G0,W6,D2,L3,V1,M1} I { ! alpha10( X ), ! p100( X ),
% 1.33/1.69 alpha16( X ) }.
% 1.33/1.69 substitution0:
% 1.33/1.69 X := X
% 1.33/1.69 Y := Y
% 1.33/1.69 end
% 1.33/1.69 substitution1:
% 1.33/1.69 X := X
% 1.33/1.69 end
% 1.33/1.69
% 1.33/1.69 subsumption: (1160) {G3,W9,D3,L4,V2,M1} R(637,46) { p101( X ), p101( skol5
% 1.33/1.69 ( Y ) ), ! p100( X ), ! alpha10( X ) }.
% 1.33/1.69 parent0: (24307) {G1,W9,D3,L4,V2,M4} { p101( X ), p101( skol5( Y ) ), !
% 1.33/1.69 alpha10( X ), ! p100( X ) }.
% 1.33/1.69 substitution0:
% 1.33/1.69 X := X
% 1.33/1.69 Y := Y
% 1.33/1.69 end
% 1.33/1.69 permutation0:
% 1.33/1.69 0 ==> 0
% 1.33/1.69 1 ==> 1
% 1.33/1.69 2 ==> 3
% 1.33/1.69 3 ==> 2
% 1.33/1.69 end
% 1.33/1.69
% 1.33/1.69 resolution: (24309) {G10,W5,D3,L2,V0,M2} { ! p101( skol5( skol1 ) ), !
% 1.33/1.69 alpha16( skol1 ) }.
% 1.33/1.69 parent0[0]: (961) {G10,W8,D3,L3,V0,M1} R(960,72) { ! alpha11( skol5( skol1
% 1.33/1.69 ) ), ! p101( skol5( skol1 ) ), ! alpha16( skol1 ) }.
% 1.33/1.69 parent1[0]: (985) {G9,W3,D3,L1,V0,M1} S(984);r(19) { alpha11( skol5( skol1
% 1.33/1.69 ) ) }.
% 1.33/1.69 substitution0:
% 1.33/1.69 end
% 1.33/1.69 substitution1:
% 1.33/1.69 end
% 1.33/1.69
% 1.33/1.69 subsumption: (1891) {G11,W5,D3,L2,V0,M1} S(961);r(985) { ! p101( skol5(
% 1.33/1.69 skol1 ) ), ! alpha16( skol1 ) }.
% 1.33/1.69 parent0: (24309) {G10,W5,D3,L2,V0,M2} { ! p101( skol5( skol1 ) ), !
% 1.33/1.69 alpha16( skol1 ) }.
% 1.33/1.69 substitution0:
% 1.33/1.69 end
% 1.33/1.69 permutation0:
% 1.33/1.69 0 ==> 0
% 1.33/1.69 1 ==> 1
% 1.33/1.69 end
% 1.33/1.69
% 1.33/1.69 resolution: (24310) {G1,W7,D3,L3,V0,M3} { ! p101( skol5( skol1 ) ), !
% 1.33/1.69 alpha10( skol1 ), ! p100( skol1 ) }.
% 1.33/1.69 parent0[1]: (1891) {G11,W5,D3,L2,V0,M1} S(961);r(985) { ! p101( skol5(
% 1.33/1.69 skol1 ) ), ! alpha16( skol1 ) }.
% 1.33/1.69 parent1[2]: (46) {G0,W6,D2,L3,V1,M1} I { ! alpha10( X ), ! p100( X ),
% 1.33/1.69 alpha16( X ) }.
% 1.33/1.69 substitution0:
% 1.33/1.69 end
% 1.33/1.69 substitution1:
% 1.33/1.69 X := skol1
% 1.33/1.69 end
% 1.33/1.69
% 1.33/1.69 resolution: (24311) {G2,W5,D3,L2,V0,M2} { ! p101( skol5( skol1 ) ), ! p100
% 1.33/1.69 ( skol1 ) }.
% 1.33/1.69 parent0[1]: (24310) {G1,W7,D3,L3,V0,M3} { ! p101( skol5( skol1 ) ), !
% 1.33/1.69 alpha10( skol1 ), ! p100( skol1 ) }.
% 1.33/1.69 parent1[0]: (331) {G5,W2,D2,L1,V0,M1} R(328,44) { alpha10( skol1 ) }.
% 1.33/1.69 substitution0:
% 1.33/1.69 end
% 1.33/1.69 substitution1:
% 1.33/1.69 end
% 1.33/1.69
% 1.33/1.69 subsumption: (1892) {G12,W5,D3,L2,V0,M1} R(1891,46);r(331) { ! p100( skol1
% 1.33/1.69 ), ! p101( skol5( skol1 ) ) }.
% 1.33/1.69 parent0: (24311) {G2,W5,D3,L2,V0,M2} { ! p101( skol5( skol1 ) ), ! p100(
% 1.33/1.69 skol1 ) }.
% 1.33/1.69 substitution0:
% 1.33/1.69 end
% 1.33/1.69 permutation0:
% 1.33/1.69 0 ==> 1
% 1.33/1.69 1 ==> 0
% 1.33/1.69 end
% 1.33/1.69
% 1.33/1.69 resolution: (24312) {G1,W3,D3,L1,V0,M1} { ! p101( skol5( skol1 ) ) }.
% 1.33/1.69 parent0[0]: (1892) {G12,W5,D3,L2,V0,M1} R(1891,46);r(331) { ! p100( skol1 )
% 1.33/1.69 , ! p101( skol5( skol1 ) ) }.
% 1.33/1.69 parent1[0]: (19) {G0,W2,D2,L1,V0,M1} I { p100( skol1 ) }.
% 1.33/1.69 substitution0:
% 1.33/1.69 end
% 1.33/1.69 substitution1:
% 1.33/1.69 end
% 1.33/1.69
% 1.33/1.69 subsumption: (1893) {G13,W3,D3,L1,V0,M1} S(1892);r(19) { ! p101( skol5(
% 1.33/1.69 skol1 ) ) }.
% 1.33/1.69 parent0: (24312) {G1,W3,D3,L1,V0,M1} { ! p101( skol5( skol1 ) ) }.
% 1.33/1.69 substitution0:
% 1.33/1.69 end
% 1.33/1.69 permutation0:
% 1.33/1.69 0 ==> 0
% 1.33/1.69 end
% 1.33/1.69
% 1.33/1.69 resolution: (24313) {G4,W7,D3,L3,V1,M3} { p101( skol1 ), p101( skol5( X )
% 1.33/1.69 ), ! p100( skol1 ) }.
% 1.33/1.69 parent0[3]: (1160) {G3,W9,D3,L4,V2,M1} R(637,46) { p101( X ), p101( skol5(
% 1.33/1.69 Y ) ), ! p100( X ), ! alpha10( X ) }.
% 1.33/1.69 parent1[0]: (331) {G5,W2,D2,L1,V0,M1} R(328,44) { alpha10( skol1 ) }.
% 1.33/1.69 substitution0:
% 1.33/1.69 X := skol1
% 1.33/1.69 Y := X
% 1.33/1.69 end
% 1.33/1.69 substitution1:
% 1.33/1.69 end
% 1.33/1.69
% 1.33/1.69 resolution: (24314) {G1,W5,D3,L2,V1,M2} { p101( skol5( X ) ), ! p100(
% 1.33/1.69 skol1 ) }.
% 1.33/1.69 parent0[0]: (18) {G0,W2,D2,L1,V0,M1} I { ! p101( skol1 ) }.
% 1.33/1.69 parent1[0]: (24313) {G4,W7,D3,L3,V1,M3} { p101( skol1 ), p101( skol5( X )
% 1.33/1.69 ), ! p100( skol1 ) }.
% 1.33/1.69 substitution0:
% 1.33/1.69 end
% 1.33/1.69 substitution1:
% 1.33/1.69 X := X
% 1.33/1.69 end
% 1.33/1.69
% 1.33/1.69 subsumption: (2080) {G6,W5,D3,L2,V1,M1} R(1160,331);r(18) { ! p100( skol1 )
% 1.33/1.69 , p101( skol5( X ) ) }.
% 1.33/1.69 parent0: (24314) {G1,W5,D3,L2,V1,M2} { p101( skol5( X ) ), ! p100( skol1 )
% 1.33/1.69 }.
% 1.33/1.69 substitution0:
% 1.33/1.69 X := X
% 1.33/1.69 end
% 1.33/1.69 permutation0:
% 1.33/1.69 0 ==> 1
% 1.33/1.69 1 ==> 0
% 1.33/1.69 end
% 1.33/1.69
% 1.33/1.69 resolution: (24315) {G1,W3,D3,L1,V1,M1} { p101( skol5( X ) ) }.
% 1.33/1.69 parent0[0]: (2080) {G6,W5,D3,L2,V1,M1} R(1160,331);r(18) { ! p100( skol1 )
% 1.33/1.69 , p101( skol5( X ) ) }.
% 1.33/1.69 parent1[0]: (19) {G0,W2,D2,L1,V0,M1} I { p100( skol1 ) }.
% 1.33/1.69 substitution0:
% 1.33/1.69 X := X
% 1.33/1.69 end
% 1.33/1.69 substitution1:
% 1.33/1.69 end
% 1.33/1.69
% 1.33/1.69 subsumption: (2081) {G7,W3,D3,L1,V1,M1} S(2080);r(19) { p101( skol5( X ) )
% 1.33/1.69 }.
% 1.33/1.69 parent0: (24315) {G1,W3,D3,L1,V1,M1} { p101( skol5( X ) ) }.
% 1.33/1.69 substitution0:
% 1.33/1.69 X := X
% 1.33/1.69 end
% 1.33/1.69 permutation0:
% 1.33/1.69 0 ==> 0
% 1.33/1.69 end
% 1.33/1.69
% 1.33/1.69 resolution: (24316) {G8,W0,D0,L0,V0,M0} { }.
% 1.33/1.69 parent0[0]: (1893) {G13,W3,D3,L1,V0,M1} S(1892);r(19) { ! p101( skol5(
% 1.33/1.69 skol1 ) ) }.
% 1.33/1.69 parent1[0]: (2081) {G7,W3,D3,L1,V1,M1} S(2080);r(19) { p101( skol5( X ) )
% 1.33/1.69 }.
% 1.33/1.69 substitution0:
% 1.33/1.69 end
% 1.33/1.69 substitution1:
% 1.33/1.69 X := skol1
% 1.33/1.69 end
% 1.33/1.69
% 1.33/1.69 subsumption: (2082) {G14,W0,D0,L0,V0,M0} R(2081,1893) { }.
% 1.33/1.69 parent0: (24316) {G8,W0,D0,L0,V0,M0} { }.
% 1.33/1.69 substitution0:
% 1.33/1.69 end
% 1.33/1.69 permutation0:
% 1.33/1.69 end
% 1.33/1.69
% 1.33/1.69 Proof check complete!
% 1.33/1.69
% 1.33/1.69 Memory use:
% 1.33/1.69
% 1.33/1.69 space for terms: 31574
% 1.33/1.69 space for clauses: 94996
% 1.33/1.69
% 1.33/1.69
% 1.33/1.69 clauses generated: 9639
% 1.33/1.69 clauses kept: 2083
% 1.33/1.69 clauses selected: 866
% 1.33/1.69 clauses deleted: 162
% 1.33/1.69 clauses inuse deleted: 55
% 1.33/1.69
% 1.33/1.69 subsentry: 673809
% 1.33/1.69 literals s-matched: 324652
% 1.33/1.69 literals matched: 283624
% 1.33/1.69 full subsumption: 229066
% 1.33/1.69
% 1.33/1.69 checksum: 1887350417
% 1.33/1.69
% 1.33/1.69
% 1.33/1.69 Bliksem ended
%------------------------------------------------------------------------------