%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : NUN085+2 : TPTP v8.1.0. Released v7.3.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n020.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 : Mon Jul 18 16:19:17 EDT 2022
% Result : Theorem 11.43s 11.88s
% Output : Refutation 11.43s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : NUN085+2 : TPTP v8.1.0. Released v7.3.0.
% 0.03/0.13 % Command : bliksem %s
% 0.13/0.34 % Computer : n020.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % DateTime : Thu Jun 2 07:19:08 EDT 2022
% 0.13/0.34 % CPUTime :
% 9.88/10.33 *** allocated 10000 integers for termspace/termends
% 9.88/10.33 *** allocated 10000 integers for clauses
% 9.88/10.33 *** allocated 10000 integers for justifications
% 9.88/10.33 Bliksem 1.12
% 9.88/10.33
% 9.88/10.33
% 9.88/10.33 Automatic Strategy Selection
% 9.88/10.33
% 9.88/10.33
% 9.88/10.33 Clauses:
% 9.88/10.33
% 9.88/10.33 { alpha1( skol1, X ), r1( X ) }.
% 9.88/10.33 { alpha1( skol1, X ), X = skol1 }.
% 9.88/10.33 { ! alpha1( X, Y ), ! r1( Y ) }.
% 9.88/10.33 { ! alpha1( X, Y ), ! Y = X }.
% 9.88/10.33 { r1( Y ), Y = X, alpha1( X, Y ) }.
% 9.88/10.33 { alpha2( X, skol2( X ), Y ), r2( X, Y ) }.
% 9.88/10.33 { alpha2( X, skol2( X ), Y ), Y = skol2( X ) }.
% 9.88/10.33 { ! alpha2( X, Y, Z ), ! r2( X, Z ) }.
% 9.88/10.33 { ! alpha2( X, Y, Z ), ! Z = Y }.
% 9.88/10.33 { r2( X, Z ), Z = Y, alpha2( X, Y, Z ) }.
% 9.88/10.33 { alpha3( X, Y, skol3( X, Y ), Z ), r3( X, Y, Z ) }.
% 9.88/10.33 { alpha3( X, Y, skol3( X, Y ), Z ), Z = skol3( X, Y ) }.
% 9.88/10.33 { ! alpha3( X, Y, Z, T ), ! r3( X, Y, T ) }.
% 9.88/10.33 { ! alpha3( X, Y, Z, T ), ! T = Z }.
% 9.88/10.33 { r3( X, Y, T ), T = Z, alpha3( X, Y, Z, T ) }.
% 9.88/10.33 { alpha4( X, Y, skol4( X, Y ), Z ), r4( X, Y, Z ) }.
% 9.88/10.33 { alpha4( X, Y, skol4( X, Y ), Z ), Z = skol4( X, Y ) }.
% 9.88/10.33 { ! alpha4( X, Y, Z, T ), ! r4( X, Y, T ) }.
% 9.88/10.33 { ! alpha4( X, Y, Z, T ), ! T = Z }.
% 9.88/10.33 { r4( X, Y, T ), T = Z, alpha4( X, Y, Z, T ) }.
% 9.88/10.33 { r2( Y, skol18( Z, Y ) ) }.
% 9.88/10.33 { r3( X, skol18( X, Y ), skol12( X, Y ) ) }.
% 9.88/10.33 { skol12( X, Y ) = skol5( X, Y ) }.
% 9.88/10.33 { r2( skol22( X, Y ), skol5( X, Y ) ) }.
% 9.88/10.33 { r3( X, Y, skol22( X, Y ) ) }.
% 9.88/10.33 { r2( Y, skol19( Z, Y ) ) }.
% 9.88/10.33 { r4( X, skol19( X, Y ), skol13( X, Y ) ) }.
% 9.88/10.33 { skol13( X, Y ) = skol6( X, Y ) }.
% 9.88/10.33 { r3( skol23( X, Y ), X, skol6( X, Y ) ) }.
% 9.88/10.33 { r4( X, Y, skol23( X, Y ) ) }.
% 9.88/10.33 { ! r2( X, T ), ! T = Z, ! r2( Y, Z ), X = Y }.
% 9.88/10.33 { r1( skol14( Y ) ) }.
% 9.88/10.33 { r3( X, skol14( X ), skol7( X ) ) }.
% 9.88/10.33 { skol7( X ) = X }.
% 9.88/10.33 { r1( skol15( Z ) ) }.
% 9.88/10.33 { skol8( Y ) = skol15( Y ) }.
% 9.88/10.33 { r1( skol20( Y ) ) }.
% 9.88/10.33 { r4( X, skol20( X ), skol8( X ) ) }.
% 9.88/10.33 { alpha5( X ), r2( skol16( Y ), skol9( Y ) ) }.
% 9.88/10.33 { alpha5( X ), X = skol9( X ) }.
% 9.88/10.33 { ! alpha5( X ), r1( skol10( Y ) ) }.
% 9.88/10.33 { ! alpha5( X ), X = skol10( X ) }.
% 9.88/10.33 { ! r1( Y ), ! X = Y, alpha5( X ) }.
% 9.88/10.33 { ! r1( Y ), ! Y = X, ! r2( Z, X ) }.
% 9.88/10.33 { r1( skol21 ) }.
% 9.88/10.33 { r3( skol21, skol17, skol11 ) }.
% 9.88/10.33 { r1( skol24 ) }.
% 9.88/10.33 { r2( skol24, skol17 ) }.
% 9.88/10.33 { skol11 = skol25 }.
% 9.88/10.33 { r1( skol25 ) }.
% 9.88/10.33
% 9.88/10.33 percentage equality = 0.270588, percentage horn = 0.720000
% 9.88/10.33 This is a problem with some equality
% 9.88/10.33
% 9.88/10.33
% 9.88/10.33
% 9.88/10.33 Options Used:
% 9.88/10.33
% 9.88/10.33 useres = 1
% 9.88/10.33 useparamod = 1
% 9.88/10.33 useeqrefl = 1
% 9.88/10.33 useeqfact = 1
% 9.88/10.33 usefactor = 1
% 9.88/10.33 usesimpsplitting = 0
% 9.88/10.33 usesimpdemod = 5
% 9.88/10.33 usesimpres = 3
% 9.88/10.33
% 9.88/10.33 resimpinuse = 1000
% 9.88/10.33 resimpclauses = 20000
% 9.88/10.33 substype = eqrewr
% 9.88/10.33 backwardsubs = 1
% 9.88/10.33 selectoldest = 5
% 9.88/10.33
% 9.88/10.33 litorderings [0] = split
% 9.88/10.33 litorderings [1] = extend the termordering, first sorting on arguments
% 9.88/10.33
% 9.88/10.33 termordering = kbo
% 9.88/10.33
% 9.88/10.33 litapriori = 0
% 9.88/10.33 termapriori = 1
% 9.88/10.33 litaposteriori = 0
% 9.88/10.33 termaposteriori = 0
% 9.88/10.33 demodaposteriori = 0
% 9.88/10.33 ordereqreflfact = 0
% 9.88/10.33
% 9.88/10.33 litselect = negord
% 9.88/10.33
% 9.88/10.33 maxweight = 15
% 9.88/10.33 maxdepth = 30000
% 9.88/10.33 maxlength = 115
% 9.88/10.33 maxnrvars = 195
% 9.88/10.33 excuselevel = 1
% 9.88/10.33 increasemaxweight = 1
% 9.88/10.33
% 9.88/10.33 maxselected = 10000000
% 9.88/10.33 maxnrclauses = 10000000
% 9.88/10.33
% 9.88/10.33 showgenerated = 0
% 9.88/10.33 showkept = 0
% 9.88/10.33 showselected = 0
% 9.88/10.33 showdeleted = 0
% 9.88/10.33 showresimp = 1
% 9.88/10.33 showstatus = 2000
% 9.88/10.33
% 9.88/10.33 prologoutput = 0
% 9.88/10.33 nrgoals = 5000000
% 9.88/10.33 totalproof = 1
% 9.88/10.33
% 9.88/10.33 Symbols occurring in the translation:
% 9.88/10.33
% 9.88/10.33 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 9.88/10.33 . [1, 2] (w:1, o:71, a:1, s:1, b:0),
% 9.88/10.33 ! [4, 1] (w:0, o:55, a:1, s:1, b:0),
% 9.88/10.33 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 9.88/10.33 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 9.88/10.33 r1 [37, 1] (w:1, o:60, a:1, s:1, b:0),
% 9.88/10.33 r2 [41, 2] (w:1, o:95, a:1, s:1, b:0),
% 9.88/10.33 r3 [46, 3] (w:1, o:107, a:1, s:1, b:0),
% 9.88/10.33 r4 [51, 3] (w:1, o:108, a:1, s:1, b:0),
% 9.88/10.33 alpha1 [82, 2] (w:1, o:96, a:1, s:1, b:1),
% 9.88/10.33 alpha2 [83, 3] (w:1, o:109, a:1, s:1, b:1),
% 9.88/10.33 alpha3 [84, 4] (w:1, o:110, a:1, s:1, b:1),
% 9.88/10.33 alpha4 [85, 4] (w:1, o:111, a:1, s:1, b:1),
% 9.88/10.33 alpha5 [86, 1] (w:1, o:61, a:1, s:1, b:1),
% 9.88/10.33 skol1 [87, 0] (w:1, o:49, a:1, s:1, b:1),
% 9.88/10.33 skol2 [88, 1] (w:1, o:66, a:1, s:1, b:1),
% 9.88/10.33 skol3 [89, 2] (w:1, o:99, a:1, s:1, b:1),
% 9.88/10.33 skol4 [90, 2] (w:1, o:100, a:1, s:1, b:1),
% 9.88/10.33 skol5 [91, 2] (w:1, o:101, a:1, s:1, b:1),
% 9.88/10.33 skol6 [92, 2] (w:1, o:102, a:1, s:1, b:1),
% 11.43/11.88 skol7 [93, 1] (w:1, o:67, a:1, s:1, b:1),
% 11.43/11.88 skol8 [94, 1] (w:1, o:68, a:1, s:1, b:1),
% 11.43/11.88 skol9 [95, 1] (w:1, o:69, a:1, s:1, b:1),
% 11.43/11.88 skol10 [96, 1] (w:1, o:62, a:1, s:1, b:1),
% 11.43/11.88 skol11 [97, 0] (w:1, o:50, a:1, s:1, b:1),
% 11.43/11.88 skol12 [98, 2] (w:1, o:103, a:1, s:1, b:1),
% 11.43/11.88 skol13 [99, 2] (w:1, o:104, a:1, s:1, b:1),
% 11.43/11.88 skol14 [100, 1] (w:1, o:63, a:1, s:1, b:1),
% 11.43/11.88 skol15 [101, 1] (w:1, o:64, a:1, s:1, b:1),
% 11.43/11.88 skol16 [102, 1] (w:1, o:65, a:1, s:1, b:1),
% 11.43/11.88 skol17 [103, 0] (w:1, o:51, a:1, s:1, b:1),
% 11.43/11.88 skol18 [104, 2] (w:1, o:105, a:1, s:1, b:1),
% 11.43/11.88 skol19 [105, 2] (w:1, o:106, a:1, s:1, b:1),
% 11.43/11.88 skol20 [106, 1] (w:1, o:70, a:1, s:1, b:1),
% 11.43/11.88 skol21 [107, 0] (w:1, o:52, a:1, s:1, b:1),
% 11.43/11.88 skol22 [108, 2] (w:1, o:97, a:1, s:1, b:1),
% 11.43/11.88 skol23 [109, 2] (w:1, o:98, a:1, s:1, b:1),
% 11.43/11.88 skol24 [110, 0] (w:1, o:53, a:1, s:1, b:1),
% 11.43/11.88 skol25 [111, 0] (w:1, o:54, a:1, s:1, b:1).
% 11.43/11.88
% 11.43/11.88
% 11.43/11.88 Starting Search:
% 11.43/11.88
% 11.43/11.88 *** allocated 15000 integers for clauses
% 11.43/11.88 *** allocated 22500 integers for clauses
% 11.43/11.88 *** allocated 33750 integers for clauses
% 11.43/11.88 *** allocated 50625 integers for clauses
% 11.43/11.88 *** allocated 15000 integers for termspace/termends
% 11.43/11.88 Resimplifying inuse:
% 11.43/11.88 Done
% 11.43/11.88
% 11.43/11.88 *** allocated 75937 integers for clauses
% 11.43/11.88 *** allocated 22500 integers for termspace/termends
% 11.43/11.88 *** allocated 113905 integers for clauses
% 11.43/11.88 *** allocated 33750 integers for termspace/termends
% 11.43/11.88
% 11.43/11.88 Intermediate Status:
% 11.43/11.88 Generated: 6617
% 11.43/11.88 Kept: 2018
% 11.43/11.88 Inuse: 202
% 11.43/11.88 Deleted: 60
% 11.43/11.88 Deletedinuse: 35
% 11.43/11.88
% 11.43/11.88 Resimplifying inuse:
% 11.43/11.88 Done
% 11.43/11.88
% 11.43/11.88 *** allocated 170857 integers for clauses
% 11.43/11.88 *** allocated 50625 integers for termspace/termends
% 11.43/11.88 Resimplifying inuse:
% 11.43/11.88 Done
% 11.43/11.88
% 11.43/11.88 *** allocated 256285 integers for clauses
% 11.43/11.88
% 11.43/11.88 Intermediate Status:
% 11.43/11.88 Generated: 16170
% 11.43/11.88 Kept: 4037
% 11.43/11.88 Inuse: 332
% 11.43/11.88 Deleted: 93
% 11.43/11.88 Deletedinuse: 39
% 11.43/11.88
% 11.43/11.88 *** allocated 75937 integers for termspace/termends
% 11.43/11.88 Resimplifying inuse:
% 11.43/11.88 Done
% 11.43/11.88
% 11.43/11.88 Resimplifying inuse:
% 11.43/11.88 Done
% 11.43/11.88
% 11.43/11.88 *** allocated 113905 integers for termspace/termends
% 11.43/11.88
% 11.43/11.88 Intermediate Status:
% 11.43/11.88 Generated: 29305
% 11.43/11.88 Kept: 6064
% 11.43/11.88 Inuse: 433
% 11.43/11.88 Deleted: 122
% 11.43/11.88 Deletedinuse: 49
% 11.43/11.88
% 11.43/11.88 Resimplifying inuse:
% 11.43/11.88 Done
% 11.43/11.88
% 11.43/11.88 *** allocated 384427 integers for clauses
% 11.43/11.88 Resimplifying inuse:
% 11.43/11.88 Done
% 11.43/11.88
% 11.43/11.88
% 11.43/11.88 Intermediate Status:
% 11.43/11.88 Generated: 38966
% 11.43/11.88 Kept: 8081
% 11.43/11.88 Inuse: 494
% 11.43/11.88 Deleted: 148
% 11.43/11.88 Deletedinuse: 62
% 11.43/11.88
% 11.43/11.88 Resimplifying inuse:
% 11.43/11.88 Done
% 11.43/11.88
% 11.43/11.88 *** allocated 170857 integers for termspace/termends
% 11.43/11.88 Resimplifying inuse:
% 11.43/11.88 Done
% 11.43/11.88
% 11.43/11.88 *** allocated 576640 integers for clauses
% 11.43/11.88
% 11.43/11.88 Intermediate Status:
% 11.43/11.88 Generated: 47496
% 11.43/11.88 Kept: 10100
% 11.43/11.88 Inuse: 541
% 11.43/11.88 Deleted: 166
% 11.43/11.88 Deletedinuse: 62
% 11.43/11.88
% 11.43/11.88 Resimplifying inuse:
% 11.43/11.88 Done
% 11.43/11.88
% 11.43/11.88 Resimplifying inuse:
% 11.43/11.88 Done
% 11.43/11.88
% 11.43/11.88
% 11.43/11.88 Intermediate Status:
% 11.43/11.88 Generated: 58055
% 11.43/11.88 Kept: 12109
% 11.43/11.88 Inuse: 595
% 11.43/11.88 Deleted: 182
% 11.43/11.88 Deletedinuse: 62
% 11.43/11.88
% 11.43/11.88 Resimplifying inuse:
% 11.43/11.88 Done
% 11.43/11.88
% 11.43/11.88 *** allocated 256285 integers for termspace/termends
% 11.43/11.88 Resimplifying inuse:
% 11.43/11.88 Done
% 11.43/11.88
% 11.43/11.88
% 11.43/11.88 Intermediate Status:
% 11.43/11.88 Generated: 70784
% 11.43/11.88 Kept: 14150
% 11.43/11.88 Inuse: 648
% 11.43/11.88 Deleted: 199
% 11.43/11.88 Deletedinuse: 64
% 11.43/11.88
% 11.43/11.88 *** allocated 864960 integers for clauses
% 11.43/11.88 Resimplifying inuse:
% 11.43/11.88 Done
% 11.43/11.88
% 11.43/11.88 Resimplifying inuse:
% 11.43/11.88 Done
% 11.43/11.88
% 11.43/11.88
% 11.43/11.88 Intermediate Status:
% 11.43/11.88 Generated: 90772
% 11.43/11.88 Kept: 16188
% 11.43/11.88 Inuse: 705
% 11.43/11.88 Deleted: 218
% 11.43/11.88 Deletedinuse: 66
% 11.43/11.88
% 11.43/11.88 Resimplifying inuse:
% 11.43/11.88 Done
% 11.43/11.88
% 11.43/11.88 Resimplifying inuse:
% 11.43/11.88 Done
% 11.43/11.88
% 11.43/11.88
% 11.43/11.88 Intermediate Status:
% 11.43/11.88 Generated: 103253
% 11.43/11.88 Kept: 18191
% 11.43/11.88 Inuse: 794
% 11.43/11.88 Deleted: 227
% 11.43/11.88 Deletedinuse: 66
% 11.43/11.88
% 11.43/11.88 Resimplifying inuse:
% 11.43/11.88 Done
% 11.43/11.88
% 11.43/11.88 Resimplifying inuse:
% 11.43/11.88 Done
% 11.43/11.88
% 11.43/11.88 *** allocated 384427 integers for termspace/termends
% 11.43/11.88
% 11.43/11.88 Intermediate Status:
% 11.43/11.88 Generated: 121073
% 11.43/11.88 Kept: 20986
% 11.43/11.88 Inuse: 860
% 11.43/11.88 Deleted: 231
% 11.43/11.88 Deletedinuse: 66
% 11.43/11.88
% 11.43/11.88 Resimplifying inuse:
% 11.43/11.88 Done
% 11.43/11.88
% 11.43/11.88 Resimplifying clauses:
% 11.43/11.88 Done
% 11.43/11.88
% 11.43/11.88 *** allocated 1297440 integers for clauses
% 11.43/11.88 Resimplifying inuse:
% 11.43/11.88 Done
% 11.43/11.88
% 11.43/11.88
% 11.43/11.88 Intermediate Status:
% 11.43/11.88 Generated: 129690
% 11.43/11.88 Kept: 23409
% 11.43/11.88 Inuse: 889
% 11.43/11.88 Deleted: 2219
% 11.43/11.88 Deletedinuse: 66
% 11.43/11.88
% 11.43/11.88 Resimplifying inuse:
% 11.43/11.88 Done
% 11.43/11.88
% 11.43/11.88 Resimplifying inuse:
% 11.43/11.88 Done
% 11.43/11.88
% 11.43/11.88
% 11.43/11.88 Intermediate Status:
% 11.43/11.88 Generated: 140189
% 11.43/11.88 Kept: 25484
% 11.43/11.88 Inuse: 926
% 11.43/11.88 Deleted: 2220
% 11.43/11.88 Deletedinuse: 67
% 11.43/11.88
% 11.43/11.88 Resimplifying inuse:
% 11.43/11.88 Done
% 11.43/11.88
% 11.43/11.88 Resimplifying inuse:
% 11.43/11.88 Done
% 11.43/11.88
% 11.43/11.88
% 11.43/11.88 Intermediate Status:
% 11.43/11.88 Generated: 157336
% 11.43/11.88 Kept: 27484
% 11.43/11.88 Inuse: 976
% 11.43/11.88 Deleted: 2220
% 11.43/11.88 Deletedinuse: 67
% 11.43/11.88
% 11.43/11.88 Resimplifying inuse:
% 11.43/11.88 Done
% 11.43/11.88
% 11.43/11.88 Resimplifying inuse:
% 11.43/11.88 Done
% 11.43/11.88
% 11.43/11.88
% 11.43/11.88 Intermediate Status:
% 11.43/11.88 Generated: 173584
% 11.43/11.88 Kept: 29541
% 11.43/11.88 Inuse: 1031
% 11.43/11.88 Deleted: 2222
% 11.43/11.88 Deletedinuse: 67
% 11.43/11.88
% 11.43/11.88 Resimplifying inuse:
% 11.43/11.88 Done
% 11.43/11.88
% 11.43/11.88 *** allocated 576640 integers for termspace/termends
% 11.43/11.88
% 11.43/11.88 Bliksems!, er is een bewijs:
% 11.43/11.88 % SZS status Theorem
% 11.43/11.88 % SZS output start Refutation
% 11.43/11.88
% 11.43/11.88 (0) {G0,W5,D2,L2,V1,M2} I { alpha1( skol1, X ), r1( X ) }.
% 11.43/11.88 (1) {G0,W6,D2,L2,V1,M2} I { alpha1( skol1, X ), X = skol1 }.
% 11.43/11.88 (2) {G0,W5,D2,L2,V2,M2} I { ! alpha1( X, Y ), ! r1( Y ) }.
% 11.43/11.88 (3) {G0,W6,D2,L2,V2,M2} I { ! alpha1( X, Y ), ! Y = X }.
% 11.43/11.88 (4) {G0,W8,D2,L3,V2,M3} I { r1( Y ), Y = X, alpha1( X, Y ) }.
% 11.43/11.88 (5) {G0,W8,D3,L2,V2,M2} I { alpha2( X, skol2( X ), Y ), r2( X, Y ) }.
% 11.43/11.88 (6) {G0,W9,D3,L2,V2,M2} I { alpha2( X, skol2( X ), Y ), Y = skol2( X ) }.
% 11.43/11.88 (7) {G0,W7,D2,L2,V3,M2} I { ! alpha2( X, Y, Z ), ! r2( X, Z ) }.
% 11.43/11.88 (8) {G0,W7,D2,L2,V3,M2} I { ! alpha2( X, Y, Z ), ! Z = Y }.
% 11.43/11.88 (11) {G0,W12,D3,L2,V3,M2} I { alpha3( X, Y, skol3( X, Y ), Z ), Z = skol3(
% 11.43/11.88 X, Y ) }.
% 11.43/11.88 (12) {G0,W9,D2,L2,V4,M2} I { ! alpha3( X, Y, Z, T ), ! r3( X, Y, T ) }.
% 11.43/11.88 (13) {G0,W8,D2,L2,V4,M2} I { ! alpha3( X, Y, Z, T ), ! T = Z }.
% 11.43/11.88 (20) {G0,W5,D3,L1,V2,M1} I { r2( Y, skol18( Z, Y ) ) }.
% 11.43/11.88 (21) {G0,W8,D3,L1,V2,M1} I { r3( X, skol18( X, Y ), skol12( X, Y ) ) }.
% 11.43/11.88 (22) {G0,W7,D3,L1,V2,M1} I { skol12( X, Y ) ==> skol5( X, Y ) }.
% 11.43/11.88 (23) {G0,W7,D3,L1,V2,M1} I { r2( skol22( X, Y ), skol5( X, Y ) ) }.
% 11.43/11.88 (24) {G0,W6,D3,L1,V2,M1} I { r3( X, Y, skol22( X, Y ) ) }.
% 11.43/11.88 (30) {G0,W12,D2,L4,V4,M4} I { ! r2( X, T ), ! T = Z, ! r2( Y, Z ), X = Y
% 11.43/11.88 }.
% 11.43/11.88 (31) {G0,W3,D3,L1,V1,M1} I { r1( skol14( Y ) ) }.
% 11.43/11.88 (32) {G0,W6,D3,L1,V1,M1} I { r3( X, skol14( X ), skol7( X ) ) }.
% 11.43/11.88 (33) {G0,W4,D3,L1,V1,M1} I { skol7( X ) ==> X }.
% 11.43/11.88 (43) {G0,W8,D2,L3,V3,M3} I { ! r1( Y ), ! Y = X, ! r2( Z, X ) }.
% 11.43/11.88 (44) {G0,W2,D2,L1,V0,M1} I { r1( skol21 ) }.
% 11.43/11.88 (45) {G0,W4,D2,L1,V0,M1} I { r3( skol21, skol17, skol11 ) }.
% 11.43/11.88 (46) {G0,W2,D2,L1,V0,M1} I { r1( skol24 ) }.
% 11.43/11.88 (47) {G0,W3,D2,L1,V0,M1} I { r2( skol24, skol17 ) }.
% 11.43/11.88 (48) {G0,W3,D2,L1,V0,M1} I { skol25 ==> skol11 }.
% 11.43/11.88 (49) {G1,W2,D2,L1,V0,M1} I;d(48) { r1( skol11 ) }.
% 11.43/11.88 (50) {G1,W3,D2,L1,V1,M1} Q(3) { ! alpha1( X, X ) }.
% 11.43/11.88 (51) {G1,W4,D2,L1,V2,M1} Q(8) { ! alpha2( X, Y, Y ) }.
% 11.43/11.88 (52) {G1,W5,D2,L1,V3,M1} Q(13) { ! alpha3( X, Y, Z, Z ) }.
% 11.43/11.88 (56) {G1,W5,D2,L2,V2,M2} Q(43) { ! r1( X ), ! r2( Y, X ) }.
% 11.43/11.88 (57) {G2,W2,D2,L1,V0,M1} R(0,50) { r1( skol1 ) }.
% 11.43/11.88 (72) {G1,W4,D3,L1,V2,M1} R(2,31) { ! alpha1( X, skol14( Y ) ) }.
% 11.43/11.88 (78) {G1,W3,D2,L1,V1,M1} R(2,44) { ! alpha1( X, skol21 ) }.
% 11.43/11.88 (79) {G1,W3,D2,L1,V1,M1} R(2,46) { ! alpha1( X, skol24 ) }.
% 11.43/11.88 (80) {G2,W3,D2,L1,V1,M1} R(2,49) { ! alpha1( X, skol11 ) }.
% 11.43/11.88 (82) {G2,W3,D2,L1,V0,M1} R(78,1) { skol21 ==> skol1 }.
% 11.43/11.88 (83) {G2,W3,D2,L1,V0,M1} R(79,1) { skol24 ==> skol1 }.
% 11.43/11.88 (84) {G3,W3,D2,L1,V0,M1} R(80,1) { skol11 ==> skol1 }.
% 11.43/11.88 (94) {G4,W4,D2,L1,V0,M1} P(84,45);d(82) { r3( skol1, skol17, skol1 ) }.
% 11.43/11.88 (95) {G3,W3,D2,L1,V0,M1} P(83,47) { r2( skol1, skol17 ) }.
% 11.43/11.88 (98) {G2,W4,D3,L1,V1,M1} R(5,51) { r2( X, skol2( X ) ) }.
% 11.43/11.88 (118) {G2,W4,D3,L1,V1,M1} R(72,1) { skol14( X ) ==> skol1 }.
% 11.43/11.88 (121) {G1,W7,D3,L2,V2,M2} R(7,6) { ! r2( X, Y ), Y = skol2( X ) }.
% 11.43/11.88 (123) {G4,W4,D2,L1,V1,M1} R(7,95) { ! alpha2( skol1, X, skol17 ) }.
% 11.43/11.88 (124) {G5,W4,D3,L1,V0,M1} R(123,6) { skol2( skol1 ) ==> skol17 }.
% 11.43/11.88 (128) {G3,W9,D3,L3,V2,M3} P(4,98) { r2( X, Y ), r1( Y ), alpha1( skol2( X )
% 11.43/11.88 , Y ) }.
% 11.43/11.88 (163) {G4,W2,D2,L1,V0,M1} R(56,95) { ! r1( skol17 ) }.
% 11.43/11.88 (171) {G5,W5,D2,L2,V1,M2} P(4,163);r(163) { ! r1( X ), alpha1( X, skol17 )
% 11.43/11.88 }.
% 11.43/11.88 (222) {G6,W5,D2,L2,V1,M2} R(171,3) { ! r1( X ), ! skol17 = X }.
% 11.43/11.88 (243) {G5,W5,D2,L1,V1,M1} R(12,94) { ! alpha3( skol1, skol17, X, skol1 )
% 11.43/11.88 }.
% 11.43/11.88 (244) {G6,W5,D3,L1,V0,M1} R(243,11) { skol3( skol1, skol17 ) ==> skol1 }.
% 11.43/11.88 (368) {G1,W6,D3,L1,V3,M1} R(20,7) { ! alpha2( X, Y, skol18( Z, X ) ) }.
% 11.43/11.88 (440) {G7,W8,D2,L2,V1,M2} P(244,11) { alpha3( skol1, skol17, skol1, X ), X
% 11.43/11.88 = skol1 }.
% 11.43/11.88 (583) {G1,W8,D3,L1,V2,M1} S(21);d(22) { r3( X, skol18( X, Y ), skol5( X, Y
% 11.43/11.88 ) ) }.
% 11.43/11.88 (767) {G1,W7,D3,L1,V3,M1} R(24,12) { ! alpha3( X, Y, Z, skol22( X, Y ) )
% 11.43/11.88 }.
% 11.43/11.88 (812) {G2,W6,D3,L1,V2,M1} R(368,6) { skol18( X, Y ) ==> skol2( Y ) }.
% 11.43/11.88 (918) {G4,W9,D2,L3,V2,M3} R(30,95) { ! skol17 = X, ! r2( Y, X ), skol1 = Y
% 11.43/11.88 }.
% 11.43/11.88 (1034) {G5,W6,D2,L2,V1,M2} Q(918) { ! r2( X, skol17 ), skol1 = X }.
% 11.43/11.88 (1093) {G3,W4,D2,L1,V1,M1} S(32);d(118);d(33) { r3( X, skol1, X ) }.
% 11.43/11.88 (1094) {G4,W5,D2,L1,V2,M1} R(1093,12) { ! alpha3( X, skol1, Y, X ) }.
% 11.43/11.88 (1109) {G5,W5,D3,L1,V1,M1} R(1094,11) { skol3( X, skol1 ) ==> X }.
% 11.43/11.88 (1249) {G6,W5,D2,L2,V1,M2} P(1034,57) { r1( X ), ! r2( X, skol17 ) }.
% 11.43/11.88 (3465) {G7,W6,D3,L2,V1,M2} R(128,1249);r(163) { alpha1( skol2( X ), skol17
% 11.43/11.88 ), r1( X ) }.
% 11.43/11.88 (3633) {G8,W6,D3,L2,V1,M2} R(3465,3) { r1( X ), ! skol2( X ) ==> skol17 }.
% 11.43/11.88 (3656) {G9,W7,D3,L2,V1,M2} R(3633,222) { ! skol2( X ) ==> skol17, ! skol17
% 11.43/11.88 = X }.
% 11.43/11.88 (5119) {G2,W7,D3,L1,V2,M1} R(767,11) { skol3( X, Y ) ==> skol22( X, Y ) }.
% 11.43/11.88 (5151) {G6,W5,D3,L1,V1,M1} S(1109);d(5119) { skol22( X, skol1 ) ==> X }.
% 11.43/11.88 (5156) {G7,W5,D3,L1,V1,M1} P(5151,23) { r2( X, skol5( X, skol1 ) ) }.
% 11.43/11.88 (5164) {G8,W6,D3,L1,V1,M1} R(5156,121) { skol5( X, skol1 ) ==> skol2( X )
% 11.43/11.88 }.
% 11.43/11.88 (21243) {G3,W7,D3,L1,V2,M1} S(583);d(812) { r3( X, skol2( Y ), skol5( X, Y
% 11.43/11.88 ) ) }.
% 11.43/11.88 (28295) {G9,W5,D3,L1,V1,M1} P(5164,21243);d(124) { r3( X, skol17, skol2( X
% 11.43/11.88 ) ) }.
% 11.43/11.88 (28325) {G10,W6,D3,L1,V2,M1} R(28295,12) { ! alpha3( X, skol17, Y, skol2( X
% 11.43/11.88 ) ) }.
% 11.43/11.88 (30126) {G11,W3,D2,L1,V0,M1} R(440,28325);d(124) { skol17 ==> skol1 }.
% 11.43/11.88 (30134) {G12,W0,D0,L0,V0,M0} R(440,3656);d(30126);d(124);d(30126);q;r(52)
% 11.43/11.88 { }.
% 11.43/11.88
% 11.43/11.88
% 11.43/11.88 % SZS output end Refutation
% 11.43/11.88 found a proof!
% 11.43/11.88
% 11.43/11.88
% 11.43/11.88 Unprocessed initial clauses:
% 11.43/11.88
% 11.43/11.88 (30136) {G0,W5,D2,L2,V1,M2} { alpha1( skol1, X ), r1( X ) }.
% 11.43/11.88 (30137) {G0,W6,D2,L2,V1,M2} { alpha1( skol1, X ), X = skol1 }.
% 11.43/11.88 (30138) {G0,W5,D2,L2,V2,M2} { ! alpha1( X, Y ), ! r1( Y ) }.
% 11.43/11.88 (30139) {G0,W6,D2,L2,V2,M2} { ! alpha1( X, Y ), ! Y = X }.
% 11.43/11.88 (30140) {G0,W8,D2,L3,V2,M3} { r1( Y ), Y = X, alpha1( X, Y ) }.
% 11.43/11.88 (30141) {G0,W8,D3,L2,V2,M2} { alpha2( X, skol2( X ), Y ), r2( X, Y ) }.
% 11.43/11.88 (30142) {G0,W9,D3,L2,V2,M2} { alpha2( X, skol2( X ), Y ), Y = skol2( X )
% 11.43/11.88 }.
% 11.43/11.88 (30143) {G0,W7,D2,L2,V3,M2} { ! alpha2( X, Y, Z ), ! r2( X, Z ) }.
% 11.43/11.88 (30144) {G0,W7,D2,L2,V3,M2} { ! alpha2( X, Y, Z ), ! Z = Y }.
% 11.43/11.88 (30145) {G0,W10,D2,L3,V3,M3} { r2( X, Z ), Z = Y, alpha2( X, Y, Z ) }.
% 11.43/11.88 (30146) {G0,W11,D3,L2,V3,M2} { alpha3( X, Y, skol3( X, Y ), Z ), r3( X, Y
% 11.43/11.88 , Z ) }.
% 11.43/11.88 (30147) {G0,W12,D3,L2,V3,M2} { alpha3( X, Y, skol3( X, Y ), Z ), Z = skol3
% 11.43/11.88 ( X, Y ) }.
% 11.43/11.88 (30148) {G0,W9,D2,L2,V4,M2} { ! alpha3( X, Y, Z, T ), ! r3( X, Y, T ) }.
% 11.43/11.88 (30149) {G0,W8,D2,L2,V4,M2} { ! alpha3( X, Y, Z, T ), ! T = Z }.
% 11.43/11.88 (30150) {G0,W12,D2,L3,V4,M3} { r3( X, Y, T ), T = Z, alpha3( X, Y, Z, T )
% 11.43/11.88 }.
% 11.43/11.88 (30151) {G0,W11,D3,L2,V3,M2} { alpha4( X, Y, skol4( X, Y ), Z ), r4( X, Y
% 11.43/11.88 , Z ) }.
% 11.43/11.88 (30152) {G0,W12,D3,L2,V3,M2} { alpha4( X, Y, skol4( X, Y ), Z ), Z = skol4
% 11.43/11.88 ( X, Y ) }.
% 11.43/11.88 (30153) {G0,W9,D2,L2,V4,M2} { ! alpha4( X, Y, Z, T ), ! r4( X, Y, T ) }.
% 11.43/11.88 (30154) {G0,W8,D2,L2,V4,M2} { ! alpha4( X, Y, Z, T ), ! T = Z }.
% 11.43/11.88 (30155) {G0,W12,D2,L3,V4,M3} { r4( X, Y, T ), T = Z, alpha4( X, Y, Z, T )
% 11.43/11.88 }.
% 11.43/11.88 (30156) {G0,W5,D3,L1,V2,M1} { r2( Y, skol18( Z, Y ) ) }.
% 11.43/11.88 (30157) {G0,W8,D3,L1,V2,M1} { r3( X, skol18( X, Y ), skol12( X, Y ) ) }.
% 11.43/11.88 (30158) {G0,W7,D3,L1,V2,M1} { skol12( X, Y ) = skol5( X, Y ) }.
% 11.43/11.88 (30159) {G0,W7,D3,L1,V2,M1} { r2( skol22( X, Y ), skol5( X, Y ) ) }.
% 11.43/11.88 (30160) {G0,W6,D3,L1,V2,M1} { r3( X, Y, skol22( X, Y ) ) }.
% 11.43/11.88 (30161) {G0,W5,D3,L1,V2,M1} { r2( Y, skol19( Z, Y ) ) }.
% 11.43/11.88 (30162) {G0,W8,D3,L1,V2,M1} { r4( X, skol19( X, Y ), skol13( X, Y ) ) }.
% 11.43/11.88 (30163) {G0,W7,D3,L1,V2,M1} { skol13( X, Y ) = skol6( X, Y ) }.
% 11.43/11.88 (30164) {G0,W8,D3,L1,V2,M1} { r3( skol23( X, Y ), X, skol6( X, Y ) ) }.
% 11.43/11.88 (30165) {G0,W6,D3,L1,V2,M1} { r4( X, Y, skol23( X, Y ) ) }.
% 11.43/11.88 (30166) {G0,W12,D2,L4,V4,M4} { ! r2( X, T ), ! T = Z, ! r2( Y, Z ), X = Y
% 11.43/11.88 }.
% 11.43/11.88 (30167) {G0,W3,D3,L1,V1,M1} { r1( skol14( Y ) ) }.
% 11.43/11.88 (30168) {G0,W6,D3,L1,V1,M1} { r3( X, skol14( X ), skol7( X ) ) }.
% 11.43/11.88 (30169) {G0,W4,D3,L1,V1,M1} { skol7( X ) = X }.
% 11.43/11.88 (30170) {G0,W3,D3,L1,V1,M1} { r1( skol15( Z ) ) }.
% 11.43/11.88 (30171) {G0,W5,D3,L1,V1,M1} { skol8( Y ) = skol15( Y ) }.
% 11.43/11.88 (30172) {G0,W3,D3,L1,V1,M1} { r1( skol20( Y ) ) }.
% 11.43/11.88 (30173) {G0,W6,D3,L1,V1,M1} { r4( X, skol20( X ), skol8( X ) ) }.
% 11.43/11.88 (30174) {G0,W7,D3,L2,V2,M2} { alpha5( X ), r2( skol16( Y ), skol9( Y ) )
% 11.43/11.88 }.
% 11.43/11.88 (30175) {G0,W6,D3,L2,V1,M2} { alpha5( X ), X = skol9( X ) }.
% 11.43/11.88 (30176) {G0,W5,D3,L2,V2,M2} { ! alpha5( X ), r1( skol10( Y ) ) }.
% 11.43/11.88 (30177) {G0,W6,D3,L2,V1,M2} { ! alpha5( X ), X = skol10( X ) }.
% 11.43/11.88 (30178) {G0,W7,D2,L3,V2,M3} { ! r1( Y ), ! X = Y, alpha5( X ) }.
% 11.43/11.88 (30179) {G0,W8,D2,L3,V3,M3} { ! r1( Y ), ! Y = X, ! r2( Z, X ) }.
% 11.43/11.88 (30180) {G0,W2,D2,L1,V0,M1} { r1( skol21 ) }.
% 11.43/11.88 (30181) {G0,W4,D2,L1,V0,M1} { r3( skol21, skol17, skol11 ) }.
% 11.43/11.88 (30182) {G0,W2,D2,L1,V0,M1} { r1( skol24 ) }.
% 11.43/11.88 (30183) {G0,W3,D2,L1,V0,M1} { r2( skol24, skol17 ) }.
% 11.43/11.88 (30184) {G0,W3,D2,L1,V0,M1} { skol11 = skol25 }.
% 11.43/11.88 (30185) {G0,W2,D2,L1,V0,M1} { r1( skol25 ) }.
% 11.43/11.88
% 11.43/11.88
% 11.43/11.88 Total Proof:
% 11.43/11.88
% 11.43/11.88 subsumption: (0) {G0,W5,D2,L2,V1,M2} I { alpha1( skol1, X ), r1( X ) }.
% 11.43/11.88 parent0: (30136) {G0,W5,D2,L2,V1,M2} { alpha1( skol1, X ), r1( X ) }.
% 11.43/11.88 substitution0:
% 11.43/11.88 X := X
% 11.43/11.88 end
% 11.43/11.88 permutation0:
% 11.43/11.88 0 ==> 0
% 11.43/11.88 1 ==> 1
% 11.43/11.88 end
% 11.43/11.88
% 11.43/11.88 subsumption: (1) {G0,W6,D2,L2,V1,M2} I { alpha1( skol1, X ), X = skol1 }.
% 11.43/11.88 parent0: (30137) {G0,W6,D2,L2,V1,M2} { alpha1( skol1, X ), X = skol1 }.
% 11.43/11.88 substitution0:
% 11.43/11.88 X := X
% 11.43/11.88 end
% 11.43/11.88 permutation0:
% 11.43/11.88 0 ==> 0
% 11.43/11.88 1 ==> 1
% 11.43/11.88 end
% 11.43/11.88
% 11.43/11.88 subsumption: (2) {G0,W5,D2,L2,V2,M2} I { ! alpha1( X, Y ), ! r1( Y ) }.
% 11.43/11.88 parent0: (30138) {G0,W5,D2,L2,V2,M2} { ! alpha1( X, Y ), ! r1( Y ) }.
% 11.43/11.88 substitution0:
% 11.43/11.88 X := X
% 11.43/11.88 Y := Y
% 11.43/11.88 end
% 11.43/11.88 permutation0:
% 11.43/11.88 0 ==> 0
% 11.43/11.88 1 ==> 1
% 11.43/11.88 end
% 11.43/11.88
% 11.43/11.88 subsumption: (3) {G0,W6,D2,L2,V2,M2} I { ! alpha1( X, Y ), ! Y = X }.
% 11.43/11.88 parent0: (30139) {G0,W6,D2,L2,V2,M2} { ! alpha1( X, Y ), ! Y = X }.
% 11.43/11.88 substitution0:
% 11.43/11.88 X := X
% 11.43/11.88 Y := Y
% 11.43/11.88 end
% 11.43/11.88 permutation0:
% 11.43/11.88 0 ==> 0
% 11.43/11.88 1 ==> 1
% 11.43/11.88 end
% 11.43/11.88
% 11.43/11.88 subsumption: (4) {G0,W8,D2,L3,V2,M3} I { r1( Y ), Y = X, alpha1( X, Y ) }.
% 11.43/11.88 parent0: (30140) {G0,W8,D2,L3,V2,M3} { r1( Y ), Y = X, alpha1( X, Y ) }.
% 11.43/11.88 substitution0:
% 11.43/11.88 X := X
% 11.43/11.88 Y := Y
% 11.43/11.88 end
% 11.43/11.88 permutation0:
% 11.43/11.88 0 ==> 0
% 11.43/11.88 1 ==> 1
% 11.43/11.88 2 ==> 2
% 11.43/11.88 end
% 11.43/11.88
% 11.43/11.88 subsumption: (5) {G0,W8,D3,L2,V2,M2} I { alpha2( X, skol2( X ), Y ), r2( X
% 11.43/11.88 , Y ) }.
% 11.43/11.88 parent0: (30141) {G0,W8,D3,L2,V2,M2} { alpha2( X, skol2( X ), Y ), r2( X,
% 11.43/11.88 Y ) }.
% 11.43/11.88 substitution0:
% 11.43/11.88 X := X
% 11.43/11.88 Y := Y
% 11.43/11.88 end
% 11.43/11.88 permutation0:
% 11.43/11.88 0 ==> 0
% 11.43/11.88 1 ==> 1
% 11.43/11.88 end
% 11.43/11.88
% 11.43/11.88 subsumption: (6) {G0,W9,D3,L2,V2,M2} I { alpha2( X, skol2( X ), Y ), Y =
% 11.43/11.88 skol2( X ) }.
% 11.43/11.88 parent0: (30142) {G0,W9,D3,L2,V2,M2} { alpha2( X, skol2( X ), Y ), Y =
% 11.43/11.88 skol2( X ) }.
% 11.43/11.88 substitution0:
% 11.43/11.88 X := X
% 11.43/11.88 Y := Y
% 11.43/11.88 end
% 11.43/11.88 permutation0:
% 11.43/11.88 0 ==> 0
% 11.43/11.88 1 ==> 1
% 11.43/11.88 end
% 11.43/11.88
% 11.43/11.88 subsumption: (7) {G0,W7,D2,L2,V3,M2} I { ! alpha2( X, Y, Z ), ! r2( X, Z )
% 11.43/11.88 }.
% 11.43/11.88 parent0: (30143) {G0,W7,D2,L2,V3,M2} { ! alpha2( X, Y, Z ), ! r2( X, Z )
% 11.43/11.88 }.
% 11.43/11.88 substitution0:
% 11.43/11.88 X := X
% 11.43/11.88 Y := Y
% 11.43/11.88 Z := Z
% 11.43/11.88 end
% 11.43/11.88 permutation0:
% 11.43/11.88 0 ==> 0
% 11.43/11.88 1 ==> 1
% 11.43/11.88 end
% 11.43/11.88
% 11.43/11.88 subsumption: (8) {G0,W7,D2,L2,V3,M2} I { ! alpha2( X, Y, Z ), ! Z = Y }.
% 11.43/11.88 parent0: (30144) {G0,W7,D2,L2,V3,M2} { ! alpha2( X, Y, Z ), ! Z = Y }.
% 11.43/11.88 substitution0:
% 11.43/11.88 X := X
% 11.43/11.88 Y := Y
% 11.43/11.88 Z := Z
% 11.43/11.88 end
% 11.43/11.88 permutation0:
% 11.43/11.88 0 ==> 0
% 11.43/11.88 1 ==> 1
% 11.43/11.88 end
% 11.43/11.88
% 11.43/11.88 subsumption: (11) {G0,W12,D3,L2,V3,M2} I { alpha3( X, Y, skol3( X, Y ), Z )
% 11.43/11.88 , Z = skol3( X, Y ) }.
% 11.43/11.88 parent0: (30147) {G0,W12,D3,L2,V3,M2} { alpha3( X, Y, skol3( X, Y ), Z ),
% 11.43/11.88 Z = skol3( X, Y ) }.
% 11.43/11.88 substitution0:
% 11.43/11.88 X := X
% 11.43/11.88 Y := Y
% 11.43/11.88 Z := Z
% 11.43/11.88 end
% 11.43/11.88 permutation0:
% 11.43/11.88 0 ==> 0
% 11.43/11.88 1 ==> 1
% 11.43/11.88 end
% 11.43/11.88
% 11.43/11.88 subsumption: (12) {G0,W9,D2,L2,V4,M2} I { ! alpha3( X, Y, Z, T ), ! r3( X,
% 11.43/11.88 Y, T ) }.
% 11.43/11.88 parent0: (30148) {G0,W9,D2,L2,V4,M2} { ! alpha3( X, Y, Z, T ), ! r3( X, Y
% 11.43/11.88 , T ) }.
% 11.43/11.88 substitution0:
% 11.43/11.88 X := X
% 11.43/11.88 Y := Y
% 11.43/11.88 Z := Z
% 11.43/11.88 T := T
% 11.43/11.88 end
% 11.43/11.88 permutation0:
% 11.43/11.88 0 ==> 0
% 11.43/11.88 1 ==> 1
% 11.43/11.88 end
% 11.43/11.88
% 11.43/11.88 subsumption: (13) {G0,W8,D2,L2,V4,M2} I { ! alpha3( X, Y, Z, T ), ! T = Z
% 11.43/11.88 }.
% 11.43/11.88 parent0: (30149) {G0,W8,D2,L2,V4,M2} { ! alpha3( X, Y, Z, T ), ! T = Z }.
% 11.43/11.88 substitution0:
% 11.43/11.88 X := X
% 11.43/11.88 Y := Y
% 11.43/11.88 Z := Z
% 11.43/11.88 T := T
% 11.43/11.88 end
% 11.43/11.88 permutation0:
% 11.43/11.88 0 ==> 0
% 11.43/11.88 1 ==> 1
% 11.43/11.88 end
% 11.43/11.88
% 11.43/11.88 subsumption: (20) {G0,W5,D3,L1,V2,M1} I { r2( Y, skol18( Z, Y ) ) }.
% 11.43/11.88 parent0: (30156) {G0,W5,D3,L1,V2,M1} { r2( Y, skol18( Z, Y ) ) }.
% 11.43/11.88 substitution0:
% 11.43/11.88 X := T
% 11.43/11.88 Y := Y
% 11.43/11.88 Z := Z
% 11.43/11.88 end
% 11.43/11.88 permutation0:
% 11.43/11.88 0 ==> 0
% 11.43/11.88 end
% 11.43/11.88
% 11.43/11.88 subsumption: (21) {G0,W8,D3,L1,V2,M1} I { r3( X, skol18( X, Y ), skol12( X
% 11.43/11.88 , Y ) ) }.
% 11.43/11.88 parent0: (30157) {G0,W8,D3,L1,V2,M1} { r3( X, skol18( X, Y ), skol12( X, Y
% 11.43/11.88 ) ) }.
% 11.43/11.88 substitution0:
% 11.43/11.88 X := X
% 11.43/11.88 Y := Y
% 11.43/11.88 end
% 11.43/11.88 permutation0:
% 11.43/11.88 0 ==> 0
% 11.43/11.88 end
% 11.43/11.88
% 11.43/11.88 subsumption: (22) {G0,W7,D3,L1,V2,M1} I { skol12( X, Y ) ==> skol5( X, Y )
% 11.43/11.88 }.
% 11.43/11.88 parent0: (30158) {G0,W7,D3,L1,V2,M1} { skol12( X, Y ) = skol5( X, Y ) }.
% 11.43/11.88 substitution0:
% 11.43/11.88 X := X
% 11.43/11.88 Y := Y
% 11.43/11.88 end
% 11.43/11.88 permutation0:
% 11.43/11.88 0 ==> 0
% 11.43/11.88 end
% 11.43/11.88
% 11.43/11.88 subsumption: (23) {G0,W7,D3,L1,V2,M1} I { r2( skol22( X, Y ), skol5( X, Y )
% 11.43/11.88 ) }.
% 11.43/11.88 parent0: (30159) {G0,W7,D3,L1,V2,M1} { r2( skol22( X, Y ), skol5( X, Y ) )
% 11.43/11.88 }.
% 11.43/11.88 substitution0:
% 11.43/11.88 X := X
% 11.43/11.88 Y := Y
% 11.43/11.88 end
% 11.43/11.88 permutation0:
% 11.43/11.88 0 ==> 0
% 11.43/11.88 end
% 11.43/11.88
% 11.43/11.88 subsumption: (24) {G0,W6,D3,L1,V2,M1} I { r3( X, Y, skol22( X, Y ) ) }.
% 11.43/11.88 parent0: (30160) {G0,W6,D3,L1,V2,M1} { r3( X, Y, skol22( X, Y ) ) }.
% 11.43/11.88 substitution0:
% 11.43/11.88 X := X
% 11.43/11.88 Y := Y
% 11.43/11.88 end
% 11.43/11.88 permutation0:
% 11.43/11.88 0 ==> 0
% 11.43/11.88 end
% 11.43/11.88
% 11.43/11.88 subsumption: (30) {G0,W12,D2,L4,V4,M4} I { ! r2( X, T ), ! T = Z, ! r2( Y,
% 11.43/11.88 Z ), X = Y }.
% 11.43/11.88 parent0: (30166) {G0,W12,D2,L4,V4,M4} { ! r2( X, T ), ! T = Z, ! r2( Y, Z
% 11.43/11.88 ), X = Y }.
% 11.43/11.88 substitution0:
% 11.43/11.88 X := X
% 11.43/11.88 Y := Y
% 11.43/11.88 Z := Z
% 11.43/11.88 T := T
% 11.43/11.88 end
% 11.43/11.88 permutation0:
% 11.43/11.88 0 ==> 0
% 11.43/11.88 1 ==> 1
% 11.43/11.88 2 ==> 2
% 11.43/11.88 3 ==> 3
% 11.43/11.88 end
% 11.43/11.88
% 11.43/11.88 subsumption: (31) {G0,W3,D3,L1,V1,M1} I { r1( skol14( Y ) ) }.
% 11.43/11.88 parent0: (30167) {G0,W3,D3,L1,V1,M1} { r1( skol14( Y ) ) }.
% 11.43/11.88 substitution0:
% 11.43/11.88 X := Z
% 11.43/11.88 Y := Y
% 11.43/11.88 end
% 11.43/11.88 permutation0:
% 11.43/11.88 0 ==> 0
% 11.43/11.88 end
% 11.43/11.88
% 11.43/11.88 subsumption: (32) {G0,W6,D3,L1,V1,M1} I { r3( X, skol14( X ), skol7( X ) )
% 11.43/11.88 }.
% 11.43/11.88 parent0: (30168) {G0,W6,D3,L1,V1,M1} { r3( X, skol14( X ), skol7( X ) )
% 11.43/11.88 }.
% 11.43/11.88 substitution0:
% 11.43/11.88 X := X
% 11.43/11.88 end
% 11.43/11.88 permutation0:
% 11.43/11.88 0 ==> 0
% 11.43/11.88 end
% 11.43/11.88
% 11.43/11.88 subsumption: (33) {G0,W4,D3,L1,V1,M1} I { skol7( X ) ==> X }.
% 11.43/11.88 parent0: (30169) {G0,W4,D3,L1,V1,M1} { skol7( X ) = X }.
% 11.43/11.88 substitution0:
% 11.43/11.88 X := X
% 11.43/11.88 end
% 11.43/11.88 permutation0:
% 11.43/11.88 0 ==> 0
% 11.43/11.88 end
% 11.43/11.88
% 11.43/11.88 subsumption: (43) {G0,W8,D2,L3,V3,M3} I { ! r1( Y ), ! Y = X, ! r2( Z, X )
% 11.43/11.88 }.
% 11.43/11.88 parent0: (30179) {G0,W8,D2,L3,V3,M3} { ! r1( Y ), ! Y = X, ! r2( Z, X )
% 11.43/11.88 }.
% 11.43/11.88 substitution0:
% 11.43/11.88 X := X
% 11.43/11.88 Y := Y
% 11.43/11.88 Z := Z
% 11.43/11.88 end
% 11.43/11.88 permutation0:
% 11.43/11.88 0 ==> 0
% 11.43/11.88 1 ==> 1
% 11.43/11.88 2 ==> 2
% 11.43/11.88 end
% 11.43/11.88
% 11.43/11.88 subsumption: (44) {G0,W2,D2,L1,V0,M1} I { r1( skol21 ) }.
% 11.43/11.88 parent0: (30180) {G0,W2,D2,L1,V0,M1} { r1( skol21 ) }.
% 11.43/11.88 substitution0:
% 11.43/11.88 end
% 11.43/11.88 permutation0:
% 11.43/11.88 0 ==> 0
% 11.43/11.88 end
% 11.43/11.88
% 11.43/11.88 subsumption: (45) {G0,W4,D2,L1,V0,M1} I { r3( skol21, skol17, skol11 ) }.
% 11.43/11.88 parent0: (30181) {G0,W4,D2,L1,V0,M1} { r3( skol21, skol17, skol11 ) }.
% 11.43/11.88 substitution0:
% 11.43/11.88 end
% 11.43/11.88 permutation0:
% 11.43/11.88 0 ==> 0
% 11.43/11.88 end
% 11.43/11.88
% 11.43/11.88 subsumption: (46) {G0,W2,D2,L1,V0,M1} I { r1( skol24 ) }.
% 11.43/11.88 parent0: (30182) {G0,W2,D2,L1,V0,M1} { r1( skol24 ) }.
% 11.43/11.88 substitution0:
% 11.43/11.88 end
% 11.43/11.88 permutation0:
% 11.43/11.88 0 ==> 0
% 11.43/11.88 end
% 11.43/11.88
% 11.43/11.88 subsumption: (47) {G0,W3,D2,L1,V0,M1} I { r2( skol24, skol17 ) }.
% 11.43/11.88 parent0: (30183) {G0,W3,D2,L1,V0,M1} { r2( skol24, skol17 ) }.
% 11.43/11.88 substitution0:
% 11.43/11.88 end
% 11.43/11.88 permutation0:
% 11.43/11.88 0 ==> 0
% 11.43/11.88 end
% 11.43/11.88
% 11.43/11.88 eqswap: (30491) {G0,W3,D2,L1,V0,M1} { skol25 = skol11 }.
% 11.43/11.88 parent0[0]: (30184) {G0,W3,D2,L1,V0,M1} { skol11 = skol25 }.
% 11.43/11.88 substitution0:
% 11.43/11.88 end
% 11.43/11.88
% 11.43/11.88 subsumption: (48) {G0,W3,D2,L1,V0,M1} I { skol25 ==> skol11 }.
% 11.43/11.88 parent0: (30491) {G0,W3,D2,L1,V0,M1} { skol25 = skol11 }.
% 11.43/11.88 substitution0:
% 11.43/11.88 end
% 11.43/11.88 permutation0:
% 11.43/11.88 0 ==> 0
% 11.43/11.88 end
% 11.43/11.88
% 11.43/11.88 paramod: (30567) {G1,W2,D2,L1,V0,M1} { r1( skol11 ) }.
% 11.43/11.88 parent0[0]: (48) {G0,W3,D2,L1,V0,M1} I { skol25 ==> skol11 }.
% 11.43/11.88 parent1[0; 1]: (30185) {G0,W2,D2,L1,V0,M1} { r1( skol25 ) }.
% 11.43/11.88 substitution0:
% 11.43/11.88 end
% 11.43/11.88 substitution1:
% 11.43/11.88 end
% 11.43/11.88
% 11.43/11.88 subsumption: (49) {G1,W2,D2,L1,V0,M1} I;d(48) { r1( skol11 ) }.
% 11.43/11.88 parent0: (30567) {G1,W2,D2,L1,V0,M1} { r1( skol11 ) }.
% 11.43/11.88 substitution0:
% 11.43/11.88 end
% 11.43/11.88 permutation0:
% 11.43/11.88 0 ==> 0
% 11.43/11.88 end
% 11.43/11.88
% 11.43/11.88 eqswap: (30568) {G0,W6,D2,L2,V2,M2} { ! Y = X, ! alpha1( Y, X ) }.
% 11.43/11.88 parent0[1]: (3) {G0,W6,D2,L2,V2,M2} I { ! alpha1( X, Y ), ! Y = X }.
% 11.43/11.88 substitution0:
% 11.43/11.88 X := Y
% 11.43/11.88 Y := X
% 11.43/11.88 end
% 11.43/11.88
% 11.43/11.88 eqrefl: (30569) {G0,W3,D2,L1,V1,M1} { ! alpha1( X, X ) }.
% 11.43/11.88 parent0[0]: (30568) {G0,W6,D2,L2,V2,M2} { ! Y = X, ! alpha1( Y, X ) }.
% 11.43/11.88 substitution0:
% 11.43/11.88 X := X
% 11.43/11.88 Y := X
% 11.43/11.88 end
% 11.43/11.88
% 11.43/11.88 subsumption: (50) {G1,W3,D2,L1,V1,M1} Q(3) { ! alpha1( X, X ) }.
% 11.43/11.88 parent0: (30569) {G0,W3,D2,L1,V1,M1} { ! alpha1( X, X ) }.
% 11.43/11.88 substitution0:
% 11.43/11.88 X := X
% 11.43/11.88 end
% 11.43/11.88 permutation0:
% 11.43/11.88 0 ==> 0
% 11.43/11.88 end
% 11.43/11.88
% 11.43/11.88 eqswap: (30570) {G0,W7,D2,L2,V3,M2} { ! Y = X, ! alpha2( Z, Y, X ) }.
% 11.43/11.88 parent0[1]: (8) {G0,W7,D2,L2,V3,M2} I { ! alpha2( X, Y, Z ), ! Z = Y }.
% 11.43/11.88 substitution0:
% 11.43/11.88 X := Z
% 11.43/11.88 Y := Y
% 11.43/11.88 Z := X
% 11.43/11.88 end
% 11.43/11.88
% 11.43/11.88 eqrefl: (30571) {G0,W4,D2,L1,V2,M1} { ! alpha2( Y, X, X ) }.
% 11.43/11.88 parent0[0]: (30570) {G0,W7,D2,L2,V3,M2} { ! Y = X, ! alpha2( Z, Y, X ) }.
% 11.43/11.88 substitution0:
% 11.43/11.88 X := X
% 11.43/11.88 Y := X
% 11.43/11.88 Z := Y
% 11.43/11.88 end
% 11.43/11.88
% 11.43/11.88 subsumption: (51) {G1,W4,D2,L1,V2,M1} Q(8) { ! alpha2( X, Y, Y ) }.
% 11.43/11.88 parent0: (30571) {G0,W4,D2,L1,V2,M1} { ! alpha2( Y, X, X ) }.
% 11.43/11.88 substitution0:
% 11.43/11.88 X := Y
% 11.43/11.88 Y := X
% 11.43/11.88 end
% 11.43/11.88 permutation0:
% 11.43/11.88 0 ==> 0
% 11.43/11.88 end
% 11.43/11.88
% 11.43/11.88 eqswap: (30572) {G0,W8,D2,L2,V4,M2} { ! Y = X, ! alpha3( Z, T, Y, X ) }.
% 11.43/11.88 parent0[1]: (13) {G0,W8,D2,L2,V4,M2} I { ! alpha3( X, Y, Z, T ), ! T = Z
% 11.43/11.88 }.
% 11.43/11.88 substitution0:
% 11.43/11.88 X := Z
% 11.43/11.88 Y := T
% 11.43/11.88 Z := Y
% 11.43/11.88 T := X
% 11.43/11.88 end
% 11.43/11.88
% 11.43/11.88 eqrefl: (30573) {G0,W5,D2,L1,V3,M1} { ! alpha3( Y, Z, X, X ) }.
% 11.43/11.88 parent0[0]: (30572) {G0,W8,D2,L2,V4,M2} { ! Y = X, ! alpha3( Z, T, Y, X )
% 11.43/11.88 }.
% 11.43/11.88 substitution0:
% 11.43/11.88 X := X
% 11.43/11.88 Y := X
% 11.43/11.88 Z := Y
% 11.43/11.88 T := Z
% 11.43/11.88 end
% 11.43/11.88
% 11.43/11.88 subsumption: (52) {G1,W5,D2,L1,V3,M1} Q(13) { ! alpha3( X, Y, Z, Z ) }.
% 11.43/11.88 parent0: (30573) {G0,W5,D2,L1,V3,M1} { ! alpha3( Y, Z, X, X ) }.
% 11.43/11.88 substitution0:
% 11.43/11.88 X := Z
% 11.43/11.88 Y := X
% 11.43/11.88 Z := Y
% 11.43/11.88 end
% 11.43/11.88 permutation0:
% 11.43/11.88 0 ==> 0
% 11.43/11.88 end
% 11.43/11.88
% 11.43/11.88 eqswap: (30574) {G0,W8,D2,L3,V3,M3} { ! Y = X, ! r1( X ), ! r2( Z, Y ) }.
% 11.43/11.88 parent0[1]: (43) {G0,W8,D2,L3,V3,M3} I { ! r1( Y ), ! Y = X, ! r2( Z, X )
% 11.43/11.88 }.
% 11.43/11.88 substitution0:
% 11.43/11.88 X := Y
% 11.43/11.88 Y := X
% 11.43/11.88 Z := Z
% 11.43/11.88 end
% 11.43/11.88
% 11.43/11.88 eqrefl: (30575) {G0,W5,D2,L2,V2,M2} { ! r1( X ), ! r2( Y, X ) }.
% 11.43/11.88 parent0[0]: (30574) {G0,W8,D2,L3,V3,M3} { ! Y = X, ! r1( X ), ! r2( Z, Y )
% 11.43/11.88 }.
% 11.43/11.88 substitution0:
% 11.43/11.88 X := X
% 11.43/11.88 Y := X
% 11.43/11.88 Z := Y
% 11.43/11.88 end
% 11.43/11.88
% 11.43/11.88 subsumption: (56) {G1,W5,D2,L2,V2,M2} Q(43) { ! r1( X ), ! r2( Y, X ) }.
% 11.43/11.88 parent0: (30575) {G0,W5,D2,L2,V2,M2} { ! r1( X ), ! r2( Y, X ) }.
% 11.43/11.88 substitution0:
% 11.43/11.88 X := X
% 11.43/11.88 Y := Y
% 11.43/11.88 end
% 11.43/11.88 permutation0:
% 11.43/11.88 0 ==> 0
% 11.43/11.88 1 ==> 1
% 11.43/11.88 end
% 11.43/11.88
% 11.43/11.88 resolution: (30576) {G1,W2,D2,L1,V0,M1} { r1( skol1 ) }.
% 11.43/11.88 parent0[0]: (50) {G1,W3,D2,L1,V1,M1} Q(3) { ! alpha1( X, X ) }.
% 11.43/11.88 parent1[0]: (0) {G0,W5,D2,L2,V1,M2} I { alpha1( skol1, X ), r1( X ) }.
% 11.43/11.88 substitution0:
% 11.43/11.88 X := skol1
% 11.43/11.88 end
% 11.43/11.88 substitution1:
% 11.43/11.88 X := skol1
% 11.43/11.88 end
% 11.43/11.88
% 11.43/11.88 subsumption: (57) {G2,W2,D2,L1,V0,M1} R(0,50) { r1( skol1 ) }.
% 11.43/11.88 parent0: (30576) {G1,W2,D2,L1,V0,M1} { r1( skol1 ) }.
% 11.43/11.88 substitution0:
% 11.43/11.88 end
% 11.43/11.88 permutation0:
% 11.43/11.88 0 ==> 0
% 11.43/11.88 end
% 11.43/11.88
% 11.43/11.88 resolution: (30577) {G1,W4,D3,L1,V2,M1} { ! alpha1( X, skol14( Y ) ) }.
% 11.43/11.88 parent0[1]: (2) {G0,W5,D2,L2,V2,M2} I { ! alpha1( X, Y ), ! r1( Y ) }.
% 11.43/11.88 parent1[0]: (31) {G0,W3,D3,L1,V1,M1} I { r1( skol14( Y ) ) }.
% 11.43/11.88 substitution0:
% 11.43/11.88 X := X
% 11.43/11.88 Y := skol14( Y )
% 11.43/11.88 end
% 11.43/11.88 substitution1:
% 11.43/11.88 X := Z
% 11.43/11.88 Y := Y
% 11.43/11.88 end
% 11.43/11.88
% 11.43/11.88 subsumption: (72) {G1,W4,D3,L1,V2,M1} R(2,31) { ! alpha1( X, skol14( Y ) )
% 11.43/11.88 }.
% 11.43/11.88 parent0: (30577) {G1,W4,D3,L1,V2,M1} { ! alpha1( X, skol14( Y ) ) }.
% 11.43/11.88 substitution0:
% 11.43/11.88 X := X
% 11.43/11.88 Y := Y
% 11.43/11.88 end
% 11.43/11.88 permutation0:
% 11.43/11.88 0 ==> 0
% 11.43/11.88 end
% 11.43/11.88
% 11.43/11.88 resolution: (30578) {G1,W3,D2,L1,V1,M1} { ! alpha1( X, skol21 ) }.
% 11.43/11.88 parent0[1]: (2) {G0,W5,D2,L2,V2,M2} I { ! alpha1( X, Y ), ! r1( Y ) }.
% 11.43/11.88 parent1[0]: (44) {G0,W2,D2,L1,V0,M1} I { r1( skol21 ) }.
% 11.43/11.88 substitution0:
% 11.43/11.88 X := X
% 11.43/11.88 Y := skol21
% 11.43/11.88 end
% 11.43/11.88 substitution1:
% 11.43/11.88 end
% 11.43/11.88
% 11.43/11.88 subsumption: (78) {G1,W3,D2,L1,V1,M1} R(2,44) { ! alpha1( X, skol21 ) }.
% 11.43/11.88 parent0: (30578) {G1,W3,D2,L1,V1,M1} { ! alpha1( X, skol21 ) }.
% 11.43/11.88 substitution0:
% 11.43/11.88 X := X
% 11.43/11.88 end
% 11.43/11.88 permutation0:
% 11.43/11.88 0 ==> 0
% 11.43/11.88 end
% 11.43/11.88
% 11.43/11.88 resolution: (30579) {G1,W3,D2,L1,V1,M1} { ! alpha1( X, skol24 ) }.
% 11.43/11.88 parent0[1]: (2) {G0,W5,D2,L2,V2,M2} I { ! alpha1( X, Y ), ! r1( Y ) }.
% 11.43/11.88 parent1[0]: (46) {G0,W2,D2,L1,V0,M1} I { r1( skol24 ) }.
% 11.43/11.88 substitution0:
% 11.43/11.88 X := X
% 11.43/11.88 Y := skol24
% 11.43/11.88 end
% 11.43/11.88 substitution1:
% 11.43/11.88 end
% 11.43/11.88
% 11.43/11.88 subsumption: (79) {G1,W3,D2,L1,V1,M1} R(2,46) { ! alpha1( X, skol24 ) }.
% 11.43/11.88 parent0: (30579) {G1,W3,D2,L1,V1,M1} { ! alpha1( X, skol24 ) }.
% 11.43/11.88 substitution0:
% 11.43/11.88 X := X
% 11.43/11.88 end
% 11.43/11.88 permutation0:
% 11.43/11.88 0 ==> 0
% 11.43/11.88 end
% 11.43/11.88
% 11.43/11.88 resolution: (30580) {G1,W3,D2,L1,V1,M1} { ! alpha1( X, skol11 ) }.
% 11.43/11.88 parent0[1]: (2) {G0,W5,D2,L2,V2,M2} I { ! alpha1( X, Y ), ! r1( Y ) }.
% 11.43/11.88 parent1[0]: (49) {G1,W2,D2,L1,V0,M1} I;d(48) { r1( skol11 ) }.
% 11.43/11.88 substitution0:
% 11.43/11.88 X := X
% 11.43/11.88 Y := skol11
% 11.43/11.88 end
% 11.43/11.88 substitution1:
% 11.43/11.88 end
% 11.43/11.88
% 11.43/11.88 subsumption: (80) {G2,W3,D2,L1,V1,M1} R(2,49) { ! alpha1( X, skol11 ) }.
% 11.43/11.88 parent0: (30580) {G1,W3,D2,L1,V1,M1} { ! alpha1( X, skol11 ) }.
% 11.43/11.88 substitution0:
% 11.43/11.88 X := X
% 11.43/11.88 end
% 11.43/11.88 permutation0:
% 11.43/11.88 0 ==> 0
% 11.43/11.88 end
% 11.43/11.88
% 11.43/11.88 eqswap: (30581) {G0,W6,D2,L2,V1,M2} { skol1 = X, alpha1( skol1, X ) }.
% 11.43/11.88 parent0[1]: (1) {G0,W6,D2,L2,V1,M2} I { alpha1( skol1, X ), X = skol1 }.
% 11.43/11.88 substitution0:
% 11.43/11.88 X := X
% 11.43/11.88 end
% 11.43/11.88
% 11.43/11.88 resolution: (30582) {G1,W3,D2,L1,V0,M1} { skol1 = skol21 }.
% 11.43/11.88 parent0[0]: (78) {G1,W3,D2,L1,V1,M1} R(2,44) { ! alpha1( X, skol21 ) }.
% 11.43/11.88 parent1[1]: (30581) {G0,W6,D2,L2,V1,M2} { skol1 = X, alpha1( skol1, X )
% 11.43/11.88 }.
% 11.43/11.88 substitution0:
% 11.43/11.88 X := skol1
% 11.43/11.88 end
% 11.43/11.88 substitution1:
% 11.43/11.88 X := skol21
% 11.43/11.88 end
% 11.43/11.88
% 11.43/11.88 eqswap: (30583) {G1,W3,D2,L1,V0,M1} { skol21 = skol1 }.
% 11.43/11.88 parent0[0]: (30582) {G1,W3,D2,L1,V0,M1} { skol1 = skol21 }.
% 11.43/11.88 substitution0:
% 11.43/11.88 end
% 11.43/11.88
% 11.43/11.88 subsumption: (82) {G2,W3,D2,L1,V0,M1} R(78,1) { skol21 ==> skol1 }.
% 11.43/11.88 parent0: (30583) {G1,W3,D2,L1,V0,M1} { skol21 = skol1 }.
% 11.43/11.88 substitution0:
% 11.43/11.88 end
% 11.43/11.88 permutation0:
% 11.43/11.88 0 ==> 0
% 11.43/11.88 end
% 11.43/11.88
% 11.43/11.88 eqswap: (30584) {G0,W6,D2,L2,V1,M2} { skol1 = X, alpha1( skol1, X ) }.
% 11.43/11.88 parent0[1]: (1) {G0,W6,D2,L2,V1,M2} I { alpha1( skol1, X ), X = skol1 }.
% 11.43/11.88 substitution0:
% 11.43/11.88 X := X
% 11.43/11.88 end
% 11.43/11.88
% 11.43/11.88 resolution: (30585) {G1,W3,D2,L1,V0,M1} { skol1 = skol24 }.
% 11.43/11.88 parent0[0]: (79) {G1,W3,D2,L1,V1,M1} R(2,46) { ! alpha1( X, skol24 ) }.
% 11.43/11.88 parent1[1]: (30584) {G0,W6,D2,L2,V1,M2} { skol1 = X, alpha1( skol1, X )
% 11.43/11.88 }.
% 11.43/11.88 substitution0:
% 11.43/11.88 X := skol1
% 11.43/11.88 end
% 11.43/11.88 substitution1:
% 11.43/11.88 X := skol24
% 11.43/11.88 end
% 11.43/11.88
% 11.43/11.88 eqswap: (30586) {G1,W3,D2,L1,V0,M1} { skol24 = skol1 }.
% 11.43/11.88 parent0[0]: (30585) {G1,W3,D2,L1,V0,M1} { skol1 = skol24 }.
% 11.43/11.88 substitution0:
% 11.43/11.88 end
% 11.43/11.88
% 11.43/11.88 subsumption: (83) {G2,W3,D2,L1,V0,M1} R(79,1) { skol24 ==> skol1 }.
% 11.43/11.88 parent0: (30586) {G1,W3,D2,L1,V0,M1} { skol24 = skol1 }.
% 11.43/11.88 substitution0:
% 11.43/11.88 end
% 11.43/11.88 permutation0:
% 11.43/11.88 0 ==> 0
% 11.43/11.88 end
% 11.43/11.88
% 11.43/11.88 eqswap: (30587) {G0,W6,D2,L2,V1,M2} { skol1 = X, alpha1( skol1, X ) }.
% 11.43/11.88 parent0[1]: (1) {G0,W6,D2,L2,V1,M2} I { alpha1( skol1, X ), X = skol1 }.
% 11.43/11.88 substitution0:
% 11.43/11.88 X := X
% 11.43/11.88 end
% 11.43/11.88
% 11.43/11.88 resolution: (30588) {G1,W3,D2,L1,V0,M1} { skol1 = skol11 }.
% 11.43/11.88 parent0[0]: (80) {G2,W3,D2,L1,V1,M1} R(2,49) { ! alpha1( X, skol11 ) }.
% 11.43/11.88 parent1[1]: (30587) {G0,W6,D2,L2,V1,M2} { skol1 = X, alpha1( skol1, X )
% 11.43/11.88 }.
% 11.43/11.88 substitution0:
% 11.43/11.88 X := skol1
% 11.43/11.88 end
% 11.43/11.88 substitution1:
% 11.43/11.88 X := skol11
% 11.43/11.88 end
% 11.43/11.88
% 11.43/11.88 eqswap: (30589) {G1,W3,D2,L1,V0,M1} { skol11 = skol1 }.
% 11.43/11.88 parent0[0]: (30588) {G1,W3,D2,L1,V0,M1} { skol1 = skol11 }.
% 11.43/11.88 substitution0:
% 11.43/11.88 end
% 11.43/11.88
% 11.43/11.88 subsumption: (84) {G3,W3,D2,L1,V0,M1} R(80,1) { skol11 ==> skol1 }.
% 11.43/11.88 parent0: (30589) {G1,W3,D2,L1,V0,M1} { skol11 = skol1 }.
% 11.43/11.88 substitution0:
% 11.43/11.88 end
% 11.43/11.88 permutation0:
% 11.43/11.88 0 ==> 0
% 11.43/11.88 end
% 11.43/11.88
% 11.43/11.88 paramod: (30592) {G1,W4,D2,L1,V0,M1} { r3( skol21, skol17, skol1 ) }.
% 11.43/11.88 parent0[0]: (84) {G3,W3,D2,L1,V0,M1} R(80,1) { skol11 ==> skol1 }.
% 11.43/11.88 parent1[0; 3]: (45) {G0,W4,D2,L1,V0,M1} I { r3( skol21, skol17, skol11 )
% 11.43/11.88 }.
% 11.43/11.88 substitution0:
% 11.43/11.88 end
% 11.43/11.88 substitution1:
% 11.43/11.88 end
% 11.43/11.88
% 11.43/11.88 paramod: (30593) {G2,W4,D2,L1,V0,M1} { r3( skol1, skol17, skol1 ) }.
% 11.43/11.88 parent0[0]: (82) {G2,W3,D2,L1,V0,M1} R(78,1) { skol21 ==> skol1 }.
% 11.43/11.88 parent1[0; 1]: (30592) {G1,W4,D2,L1,V0,M1} { r3( skol21, skol17, skol1 )
% 11.43/11.88 }.
% 11.43/11.88 substitution0:
% 11.43/11.88 end
% 11.43/11.88 substitution1:
% 11.43/11.88 end
% 11.43/11.88
% 11.43/11.88 subsumption: (94) {G4,W4,D2,L1,V0,M1} P(84,45);d(82) { r3( skol1, skol17,
% 11.43/11.88 skol1 ) }.
% 11.43/11.88 parent0: (30593) {G2,W4,D2,L1,V0,M1} { r3( skol1, skol17, skol1 ) }.
% 11.43/11.88 substitution0:
% 11.43/11.88 end
% 11.43/11.88 permutation0:
% 11.43/11.88 0 ==> 0
% 11.43/11.88 end
% 11.43/11.88
% 11.43/11.88 paramod: (30595) {G1,W3,D2,L1,V0,M1} { r2( skol1, skol17 ) }.
% 11.43/11.88 parent0[0]: (83) {G2,W3,D2,L1,V0,M1} R(79,1) { skol24 ==> skol1 }.
% 11.43/11.88 parent1[0; 1]: (47) {G0,W3,D2,L1,V0,M1} I { r2( skol24, skol17 ) }.
% 11.43/11.88 substitution0:
% 11.43/11.88 end
% 11.43/11.88 substitution1:
% 11.43/11.88 end
% 11.43/11.88
% 11.43/11.88 subsumption: (95) {G3,W3,D2,L1,V0,M1} P(83,47) { r2( skol1, skol17 ) }.
% 11.43/11.88 parent0: (30595) {G1,W3,D2,L1,V0,M1} { r2( skol1, skol17 ) }.
% 11.43/11.88 substitution0:
% 11.43/11.88 end
% 11.43/11.88 permutation0:
% 11.43/11.88 0 ==> 0
% 11.43/11.88 end
% 11.43/11.88
% 11.43/11.88 resolution: (30596) {G1,W4,D3,L1,V1,M1} { r2( X, skol2( X ) ) }.
% 11.43/11.88 parent0[0]: (51) {G1,W4,D2,L1,V2,M1} Q(8) { ! alpha2( X, Y, Y ) }.
% 11.43/11.88 parent1[0]: (5) {G0,W8,D3,L2,V2,M2} I { alpha2( X, skol2( X ), Y ), r2( X,
% 11.43/11.88 Y ) }.
% 11.43/11.88 substitution0:
% 11.43/11.88 X := X
% 11.43/11.88 Y := skol2( X )
% 11.43/11.88 end
% 11.43/11.88 substitution1:
% 11.43/11.88 X := X
% 11.43/11.88 Y := skol2( X )
% 11.43/11.88 end
% 11.43/11.88
% 11.43/11.88 subsumption: (98) {G2,W4,D3,L1,V1,M1} R(5,51) { r2( X, skol2( X ) ) }.
% 11.43/11.88 parent0: (30596) {G1,W4,D3,L1,V1,M1} { r2( X, skol2( X ) ) }.
% 11.43/11.88 substitution0:
% 11.43/11.88 X := X
% 11.43/11.88 end
% 11.43/11.88 permutation0:
% 11.43/11.88 0 ==> 0
% 11.43/11.88 end
% 11.43/11.88
% 11.43/11.88 eqswap: (30597) {G0,W6,D2,L2,V1,M2} { skol1 = X, alpha1( skol1, X ) }.
% 11.43/11.88 parent0[1]: (1) {G0,W6,D2,L2,V1,M2} I { alpha1( skol1, X ), X = skol1 }.
% 11.43/11.88 substitution0:
% 11.43/11.88 X := X
% 11.43/11.88 end
% 11.43/11.88
% 11.43/11.88 resolution: (30598) {G1,W4,D3,L1,V1,M1} { skol1 = skol14( X ) }.
% 11.43/11.88 parent0[0]: (72) {G1,W4,D3,L1,V2,M1} R(2,31) { ! alpha1( X, skol14( Y ) )
% 11.43/11.88 }.
% 11.43/11.88 parent1[1]: (30597) {G0,W6,D2,L2,V1,M2} { skol1 = X, alpha1( skol1, X )
% 11.43/11.88 }.
% 99.22/99.67 substitution0:
% 99.22/99.67 X := skol1
% 99.22/99.67 Y := X
% 99.22/99.67 end
% 99.22/99.67 substitution1:
% 99.22/99.67 X := skol14( X )
% 99.22/99.67 end
% 99.22/99.67
% 99.22/99.67 eqswap: (30599) {G1,W4,D3,L1,V1,M1} { skol14( X ) = skol1 }.
% 99.22/99.67 parent0[0]: (30598) {G1,W4,D3,L1,V1,M1} { skol1 = skol14( X ) }.
% 99.22/99.67 substitution0:
% 99.22/99.67 X := X
% 99.22/99.67 end
% 99.22/99.67
% 99.22/99.67 subsumption: (118) {G2,W4,D3,L1,V1,M1} R(72,1) { skol14( X ) ==> skol1 }.
% 99.22/99.67 parent0: (30599) {G1,W4,D3,L1,V1,M1} { skol14( X ) = skol1 }.
% 99.22/99.67 substitution0:
% 99.22/99.67 X := X
% 99.22/99.67 end
% 99.22/99.67 permutation0:
% 99.22/99.67 0 ==> 0
% 99.22/99.67 end
% 99.22/99.67
% 99.22/99.67 eqswap: (30600) {G0,W9,D3,L2,V2,M2} { skol2( Y ) = X, alpha2( Y, skol2( Y
% 99.22/99.67 ), X ) }.
% 99.22/99.67 parent0[1]: (6) {G0,W9,D3,L2,V2,M2} I { alpha2( X, skol2( X ), Y ), Y =
% 99.22/99.67 skol2( X ) }.
% 99.22/99.67 substitution0:
% 99.22/99.67 X := Y
% 99.22/99.67 Y := X
% 99.22/99.67 end
% 99.22/99.67
% 99.22/99.67 resolution: (30601) {G1,W7,D3,L2,V2,M2} { ! r2( X, Y ), skol2( X ) = Y }.
% 99.22/99.67 parent0[0]: (7) {G0,W7,D2,L2,V3,M2} I { ! alpha2( X, Y, Z ), ! r2( X, Z )
% 99.22/99.67 }.
% 99.22/99.67 parent1[1]: (30600) {G0,W9,D3,L2,V2,M2} { skol2( Y ) = X, alpha2( Y, skol2
% 99.22/99.67 ( Y ), X ) }.
% 99.22/99.67 substitution0:
% 99.22/99.67 X := X
% 99.22/99.67 Y := skol2( X )
% 99.22/99.67 Z := Y
% 99.22/99.67 end
% 99.22/99.67 substitution1:
% 99.22/99.67 X := Y
% 99.22/99.67 Y := X
% 99.22/99.67 end
% 99.22/99.67
% 99.22/99.67 eqswap: (30602) {G1,W7,D3,L2,V2,M2} { Y = skol2( X ), ! r2( X, Y ) }.
% 99.22/99.67 parent0[1]: (30601) {G1,W7,D3,L2,V2,M2} { ! r2( X, Y ), skol2( X ) = Y }.
% 99.22/99.67 substitution0:
% 99.22/99.67 X := X
% 99.22/99.67 Y := Y
% 99.22/99.67 end
% 99.22/99.67
% 99.22/99.67 subsumption: (121) {G1,W7,D3,L2,V2,M2} R(7,6) { ! r2( X, Y ), Y = skol2( X
% 99.22/99.67 ) }.
% 99.22/99.67 parent0: (30602) {G1,W7,D3,L2,V2,M2} { Y = skol2( X ), ! r2( X, Y ) }.
% 99.22/99.67 substitution0:
% 99.22/99.67 X := X
% 99.22/99.67 Y := Y
% 99.22/99.67 end
% 99.22/99.67 permutation0:
% 99.22/99.67 0 ==> 1
% 99.22/99.67 1 ==> 0
% 99.22/99.67 end
% 99.22/99.67
% 99.22/99.67 resolution: (30603) {G1,W4,D2,L1,V1,M1} { ! alpha2( skol1, X, skol17 ) }.
% 99.22/99.67 parent0[1]: (7) {G0,W7,D2,L2,V3,M2} I { ! alpha2( X, Y, Z ), ! r2( X, Z )
% 99.22/99.67 }.
% 99.22/99.67 parent1[0]: (95) {G3,W3,D2,L1,V0,M1} P(83,47) { r2( skol1, skol17 ) }.
% 99.22/99.67 substitution0:
% 99.22/99.67 X := skol1
% 99.22/99.67 Y := X
% 99.22/99.67 Z := skol17
% 99.22/99.67 end
% 99.22/99.67 substitution1:
% 99.22/99.67 end
% 99.22/99.67
% 99.22/99.67 subsumption: (123) {G4,W4,D2,L1,V1,M1} R(7,95) { ! alpha2( skol1, X, skol17
% 99.22/99.67 ) }.
% 99.22/99.67 parent0: (30603) {G1,W4,D2,L1,V1,M1} { ! alpha2( skol1, X, skol17 ) }.
% 99.22/99.67 substitution0:
% 99.22/99.67 X := X
% 99.22/99.67 end
% 99.22/99.67 permutation0:
% 99.22/99.67 0 ==> 0
% 99.22/99.67 end
% 99.22/99.67
% 99.22/99.67 eqswap: (30604) {G0,W9,D3,L2,V2,M2} { skol2( Y ) = X, alpha2( Y, skol2( Y
% 99.22/99.67 ), X ) }.
% 99.22/99.67 parent0[1]: (6) {G0,W9,D3,L2,V2,M2} I { alpha2( X, skol2( X ), Y ), Y =
% 99.22/99.67 skol2( X ) }.
% 99.22/99.67 substitution0:
% 99.22/99.67 X := Y
% 99.22/99.67 Y := X
% 99.22/99.67 end
% 99.22/99.67
% 99.22/99.67 resolution: (30605) {G1,W4,D3,L1,V0,M1} { skol2( skol1 ) = skol17 }.
% 99.22/99.67 parent0[0]: (123) {G4,W4,D2,L1,V1,M1} R(7,95) { ! alpha2( skol1, X, skol17
% 99.22/99.67 ) }.
% 99.22/99.67 parent1[1]: (30604) {G0,W9,D3,L2,V2,M2} { skol2( Y ) = X, alpha2( Y, skol2
% 99.22/99.67 ( Y ), X ) }.
% 99.22/99.67 substitution0:
% 99.22/99.67 X := skol2( skol1 )
% 99.22/99.67 end
% 99.22/99.67 substitution1:
% 99.22/99.67 X := skol17
% 99.22/99.67 Y := skol1
% 99.22/99.67 end
% 99.22/99.67
% 99.22/99.67 subsumption: (124) {G5,W4,D3,L1,V0,M1} R(123,6) { skol2( skol1 ) ==> skol17
% 99.22/99.67 }.
% 99.22/99.67 parent0: (30605) {G1,W4,D3,L1,V0,M1} { skol2( skol1 ) = skol17 }.
% 99.22/99.67 substitution0:
% 99.22/99.67 end
% 99.22/99.67 permutation0:
% 99.22/99.67 0 ==> 0
% 99.22/99.67 end
% 99.22/99.67
% 99.22/99.67 *** allocated 15000 integers for justifications
% 99.22/99.67 *** allocated 22500 integers for justifications
% 99.22/99.67 *** allocated 33750 integers for justifications
% 99.22/99.67 *** allocated 50625 integers for justifications
% 99.22/99.67 *** allocated 75937 integers for justifications
% 99.22/99.67 *** allocated 113905 integers for justifications
% 99.22/99.67 *** allocated 170857 integers for justifications
% 99.22/99.67 *** allocated 1946160 integers for clauses
% 99.22/99.67 *** allocated 256285 integers for justifications
% 99.22/99.67 *** allocated 864960 integers for termspace/termends
% 99.22/99.67 eqswap: (30607) {G0,W8,D2,L3,V2,M3} { Y = X, r1( X ), alpha1( Y, X ) }.
% 99.22/99.67 parent0[1]: (4) {G0,W8,D2,L3,V2,M3} I { r1( Y ), Y = X, alpha1( X, Y ) }.
% 99.22/99.67 substitution0:
% 99.22/99.67 X := Y
% 99.22/99.67 Y := X
% 99.22/99.67 end
% 99.22/99.67
% 99.22/99.67 paramod: (30608) {G1,W9,D3,L3,V2,M3} { r2( X, Y ), r1( Y ), alpha1( skol2
% 99.22/99.67 ( X ), Y ) }.
% 99.22/99.67 parent0[0]: (30607) {G0,W8,D2,L3,V2,M3} { Y = X, r1( X ), alpha1( Y, X )
% 99.22/99.67 }.
% 99.22/99.67 parent1[0; 2]: (98) {G2,W4,D3,L1,V1,M1} R(5,51) { r2( X, skol2( X ) ) }.
% 99.22/99.67 substitution0:
% 99.22/99.67 X := Y
% 99.22/99.67 Y := skol2( X )
% 99.22/99.67 end
% 99.22/99.67 substitution1:
% 99.22/99.67 X := X
% 99.22/99.67 end
% 99.22/99.67
% 99.22/99.67 subsumption: (128) {G3,W9,D3,L3,V2,M3} P(4,98) { r2( X, Y ), r1( Y ),
% 99.22/99.67 alpha1( skol2( X ), Y ) }.
% 99.22/99.67 parent0: (30608) {G1,W9,D3,L3,V2,M3} { r2( X, Y ), r1( Y ), alpha1( skol2
% 99.22/99.67 ( X ), Y ) }.
% 99.22/99.67 substitution0:
% 99.22/99.67 X := X
% 99.22/99.67 Y := Y
% 99.22/99.67 end
% 99.22/99.67 permutation0:
% 99.22/99.67 0 ==> 0
% 99.22/99.67 1 ==> 1
% 99.22/99.67 2 ==> 2
% 99.22/99.67 end
% 99.22/99.67
% 99.22/99.67 resolution: (36316) {G2,W2,D2,L1,V0,M1} { ! r1( skol17 ) }.
% 99.22/99.67 parent0[1]: (56) {G1,W5,D2,L2,V2,M2} Q(43) { ! r1( X ), ! r2( Y, X Cputime limit exceeded (core dumped)
%------------------------------------------------------------------------------