TSTP Solution File: SYN077+1 by Bliksem---1.12
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%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : SYN077+1 : TPTP v8.1.0. Released v2.0.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n029.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 : Thu Jul 21 02:47:30 EDT 2022
% Result : Theorem 0.42s 1.09s
% Output : Refutation 0.42s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.11 % Problem : SYN077+1 : TPTP v8.1.0. Released v2.0.0.
% 0.11/0.12 % Command : bliksem %s
% 0.11/0.33 % Computer : n029.cluster.edu
% 0.11/0.33 % Model : x86_64 x86_64
% 0.11/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.33 % Memory : 8042.1875MB
% 0.11/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.33 % CPULimit : 300
% 0.11/0.33 % DateTime : Tue Jul 12 04:34:47 EDT 2022
% 0.11/0.33 % CPUTime :
% 0.42/1.09 *** allocated 10000 integers for termspace/termends
% 0.42/1.09 *** allocated 10000 integers for clauses
% 0.42/1.09 *** allocated 10000 integers for justifications
% 0.42/1.09 Bliksem 1.12
% 0.42/1.09
% 0.42/1.09
% 0.42/1.09 Automatic Strategy Selection
% 0.42/1.09
% 0.42/1.09
% 0.42/1.09 Clauses:
% 0.42/1.09
% 0.42/1.09 { ! big_f( Y, skol1( X ) ), Y = X }.
% 0.42/1.09 { ! Y = X, big_f( Y, skol1( X ) ) }.
% 0.42/1.09 { ! big_f( X, skol2 ), ! big_f( X, Y ), alpha1( Y ) }.
% 0.42/1.09 { ! alpha1( skol5( Y ) ), big_f( X, skol2 ) }.
% 0.42/1.09 { big_f( X, skol5( X ) ), big_f( X, skol2 ) }.
% 0.42/1.09 { ! alpha1( X ), big_f( skol3( X ), X ) }.
% 0.42/1.09 { ! alpha1( X ), alpha2( X, skol3( X ) ) }.
% 0.42/1.09 { ! big_f( Y, X ), ! alpha2( X, Y ), alpha1( X ) }.
% 0.42/1.09 { ! alpha2( X, Y ), ! big_f( Z, X ), ! big_f( Z, Y ) }.
% 0.42/1.09 { big_f( skol4( Z, Y ), Y ), alpha2( X, Y ) }.
% 0.42/1.09 { big_f( skol4( X, Y ), X ), alpha2( X, Y ) }.
% 0.42/1.09
% 0.42/1.09 percentage equality = 0.080000, percentage horn = 0.727273
% 0.42/1.09 This is a problem with some equality
% 0.42/1.09
% 0.42/1.09
% 0.42/1.09
% 0.42/1.09 Options Used:
% 0.42/1.09
% 0.42/1.09 useres = 1
% 0.42/1.09 useparamod = 1
% 0.42/1.09 useeqrefl = 1
% 0.42/1.09 useeqfact = 1
% 0.42/1.09 usefactor = 1
% 0.42/1.09 usesimpsplitting = 0
% 0.42/1.09 usesimpdemod = 5
% 0.42/1.09 usesimpres = 3
% 0.42/1.09
% 0.42/1.09 resimpinuse = 1000
% 0.42/1.09 resimpclauses = 20000
% 0.42/1.09 substype = eqrewr
% 0.42/1.09 backwardsubs = 1
% 0.42/1.09 selectoldest = 5
% 0.42/1.09
% 0.42/1.09 litorderings [0] = split
% 0.42/1.09 litorderings [1] = extend the termordering, first sorting on arguments
% 0.42/1.09
% 0.42/1.09 termordering = kbo
% 0.42/1.09
% 0.42/1.09 litapriori = 0
% 0.42/1.09 termapriori = 1
% 0.42/1.09 litaposteriori = 0
% 0.42/1.09 termaposteriori = 0
% 0.42/1.09 demodaposteriori = 0
% 0.42/1.09 ordereqreflfact = 0
% 0.42/1.09
% 0.42/1.09 litselect = negord
% 0.42/1.09
% 0.42/1.09 maxweight = 15
% 0.42/1.09 maxdepth = 30000
% 0.42/1.09 maxlength = 115
% 0.42/1.09 maxnrvars = 195
% 0.42/1.09 excuselevel = 1
% 0.42/1.09 increasemaxweight = 1
% 0.42/1.09
% 0.42/1.09 maxselected = 10000000
% 0.42/1.09 maxnrclauses = 10000000
% 0.42/1.09
% 0.42/1.09 showgenerated = 0
% 0.42/1.09 showkept = 0
% 0.42/1.09 showselected = 0
% 0.42/1.09 showdeleted = 0
% 0.42/1.09 showresimp = 1
% 0.42/1.09 showstatus = 2000
% 0.42/1.09
% 0.42/1.09 prologoutput = 0
% 0.42/1.09 nrgoals = 5000000
% 0.42/1.09 totalproof = 1
% 0.42/1.09
% 0.42/1.09 Symbols occurring in the translation:
% 0.42/1.09
% 0.42/1.09 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 0.42/1.09 . [1, 2] (w:1, o:21, a:1, s:1, b:0),
% 0.42/1.09 ! [4, 1] (w:0, o:12, a:1, s:1, b:0),
% 0.42/1.09 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.42/1.09 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.42/1.09 big_f [38, 2] (w:1, o:46, a:1, s:1, b:0),
% 0.42/1.09 alpha1 [41, 1] (w:1, o:17, a:1, s:1, b:1),
% 0.42/1.09 alpha2 [42, 2] (w:1, o:45, a:1, s:1, b:1),
% 0.42/1.09 skol1 [43, 1] (w:1, o:18, a:1, s:1, b:1),
% 0.42/1.09 skol2 [44, 0] (w:1, o:11, a:1, s:1, b:1),
% 0.42/1.09 skol3 [45, 1] (w:1, o:19, a:1, s:1, b:1),
% 0.42/1.09 skol4 [46, 2] (w:1, o:47, a:1, s:1, b:1),
% 0.42/1.09 skol5 [47, 1] (w:1, o:20, a:1, s:1, b:1).
% 0.42/1.09
% 0.42/1.09
% 0.42/1.09 Starting Search:
% 0.42/1.09
% 0.42/1.09 *** allocated 15000 integers for clauses
% 0.42/1.09 *** allocated 22500 integers for clauses
% 0.42/1.09 *** allocated 33750 integers for clauses
% 0.42/1.09
% 0.42/1.09 Bliksems!, er is een bewijs:
% 0.42/1.09 % SZS status Theorem
% 0.42/1.09 % SZS output start Refutation
% 0.42/1.09
% 0.42/1.09 (0) {G0,W7,D3,L2,V2,M2} I { ! big_f( Y, skol1( X ) ), Y = X }.
% 0.42/1.09 (1) {G0,W7,D3,L2,V2,M2} I { ! Y = X, big_f( Y, skol1( X ) ) }.
% 0.42/1.09 (2) {G0,W8,D2,L3,V2,M3} I { ! big_f( X, skol2 ), ! big_f( X, Y ), alpha1( Y
% 0.42/1.09 ) }.
% 0.42/1.09 (3) {G0,W6,D3,L2,V2,M2} I { ! alpha1( skol5( Y ) ), big_f( X, skol2 ) }.
% 0.42/1.09 (4) {G0,W7,D3,L2,V1,M2} I { big_f( X, skol5( X ) ), big_f( X, skol2 ) }.
% 0.42/1.09 (5) {G0,W6,D3,L2,V1,M2} I { ! alpha1( X ), big_f( skol3( X ), X ) }.
% 0.42/1.09 (6) {G0,W6,D3,L2,V1,M2} I { ! alpha1( X ), alpha2( X, skol3( X ) ) }.
% 0.42/1.09 (7) {G0,W8,D2,L3,V2,M3} I { ! big_f( Y, X ), ! alpha2( X, Y ), alpha1( X )
% 0.42/1.09 }.
% 0.42/1.09 (8) {G0,W9,D2,L3,V3,M3} I { ! alpha2( X, Y ), ! big_f( Z, X ), ! big_f( Z,
% 0.42/1.09 Y ) }.
% 0.42/1.09 (9) {G0,W8,D3,L2,V3,M2} I { big_f( skol4( Z, Y ), Y ), alpha2( X, Y ) }.
% 0.42/1.09 (10) {G0,W8,D3,L2,V2,M2} I { big_f( skol4( X, Y ), X ), alpha2( X, Y ) }.
% 0.42/1.09 (11) {G1,W4,D3,L1,V1,M1} Q(1) { big_f( X, skol1( X ) ) }.
% 0.42/1.09 (29) {G1,W8,D4,L2,V1,M2} R(5,0) { ! alpha1( skol1( X ) ), skol3( skol1( X )
% 0.42/1.09 ) ==> X }.
% 0.42/1.09 (51) {G2,W6,D3,L2,V1,M2} R(2,11) { ! big_f( X, skol2 ), alpha1( skol1( X )
% 0.42/1.09 ) }.
% 0.42/1.09 (70) {G3,W7,D3,L2,V1,M2} R(4,51) { big_f( X, skol5( X ) ), alpha1( skol1( X
% 0.42/1.09 ) ) }.
% 0.42/1.09 (124) {G2,W7,D3,L2,V2,M2} R(8,11) { ! alpha2( skol1( X ), Y ), ! big_f( X,
% 0.42/1.09 Y ) }.
% 0.42/1.09 (133) {G3,W6,D3,L2,V1,M2} R(124,6);d(29) { ! alpha1( skol1( X ) ), ! big_f
% 0.42/1.09 ( X, X ) }.
% 0.42/1.09 (136) {G4,W4,D3,L1,V0,M1} R(133,4);r(70) { big_f( skol2, skol5( skol2 ) )
% 0.42/1.09 }.
% 0.42/1.09 (140) {G4,W10,D3,L3,V2,M3} R(133,2) { ! big_f( X, X ), ! big_f( Y, skol2 )
% 0.42/1.09 , ! big_f( Y, skol1( X ) ) }.
% 0.42/1.09 (143) {G5,W3,D2,L1,V0,M1} F(140);r(11) { ! big_f( skol2, skol2 ) }.
% 0.42/1.09 (144) {G6,W3,D3,L1,V1,M1} R(143,3) { ! alpha1( skol5( X ) ) }.
% 0.42/1.09 (175) {G7,W4,D3,L1,V0,M1} R(136,7);r(144) { ! alpha2( skol5( skol2 ), skol2
% 0.42/1.09 ) }.
% 0.42/1.09 (181) {G8,W5,D3,L1,V1,M1} R(175,9) { big_f( skol4( X, skol2 ), skol2 ) }.
% 0.42/1.09 (284) {G9,W7,D3,L2,V2,M2} R(181,2) { ! big_f( skol4( X, skol2 ), Y ),
% 0.42/1.09 alpha1( Y ) }.
% 0.42/1.09 (523) {G10,W5,D2,L2,V1,M2} R(284,10) { alpha1( X ), alpha2( X, skol2 ) }.
% 0.42/1.09 (539) {G11,W0,D0,L0,V0,M0} R(523,175);r(144) { }.
% 0.42/1.09
% 0.42/1.09
% 0.42/1.09 % SZS output end Refutation
% 0.42/1.09 found a proof!
% 0.42/1.09
% 0.42/1.09
% 0.42/1.09 Unprocessed initial clauses:
% 0.42/1.09
% 0.42/1.09 (541) {G0,W7,D3,L2,V2,M2} { ! big_f( Y, skol1( X ) ), Y = X }.
% 0.42/1.09 (542) {G0,W7,D3,L2,V2,M2} { ! Y = X, big_f( Y, skol1( X ) ) }.
% 0.42/1.09 (543) {G0,W8,D2,L3,V2,M3} { ! big_f( X, skol2 ), ! big_f( X, Y ), alpha1(
% 0.42/1.09 Y ) }.
% 0.42/1.09 (544) {G0,W6,D3,L2,V2,M2} { ! alpha1( skol5( Y ) ), big_f( X, skol2 ) }.
% 0.42/1.09 (545) {G0,W7,D3,L2,V1,M2} { big_f( X, skol5( X ) ), big_f( X, skol2 ) }.
% 0.42/1.09 (546) {G0,W6,D3,L2,V1,M2} { ! alpha1( X ), big_f( skol3( X ), X ) }.
% 0.42/1.09 (547) {G0,W6,D3,L2,V1,M2} { ! alpha1( X ), alpha2( X, skol3( X ) ) }.
% 0.42/1.09 (548) {G0,W8,D2,L3,V2,M3} { ! big_f( Y, X ), ! alpha2( X, Y ), alpha1( X )
% 0.42/1.09 }.
% 0.42/1.09 (549) {G0,W9,D2,L3,V3,M3} { ! alpha2( X, Y ), ! big_f( Z, X ), ! big_f( Z
% 0.42/1.09 , Y ) }.
% 0.42/1.09 (550) {G0,W8,D3,L2,V3,M2} { big_f( skol4( Z, Y ), Y ), alpha2( X, Y ) }.
% 0.42/1.09 (551) {G0,W8,D3,L2,V2,M2} { big_f( skol4( X, Y ), X ), alpha2( X, Y ) }.
% 0.42/1.09
% 0.42/1.09
% 0.42/1.09 Total Proof:
% 0.42/1.09
% 0.42/1.09 subsumption: (0) {G0,W7,D3,L2,V2,M2} I { ! big_f( Y, skol1( X ) ), Y = X
% 0.42/1.09 }.
% 0.42/1.09 parent0: (541) {G0,W7,D3,L2,V2,M2} { ! big_f( Y, skol1( X ) ), Y = X }.
% 0.42/1.09 substitution0:
% 0.42/1.09 X := X
% 0.42/1.09 Y := Y
% 0.42/1.09 end
% 0.42/1.09 permutation0:
% 0.42/1.09 0 ==> 0
% 0.42/1.09 1 ==> 1
% 0.42/1.09 end
% 0.42/1.09
% 0.42/1.09 subsumption: (1) {G0,W7,D3,L2,V2,M2} I { ! Y = X, big_f( Y, skol1( X ) )
% 0.42/1.09 }.
% 0.42/1.09 parent0: (542) {G0,W7,D3,L2,V2,M2} { ! Y = X, big_f( Y, skol1( X ) ) }.
% 0.42/1.09 substitution0:
% 0.42/1.09 X := X
% 0.42/1.09 Y := Y
% 0.42/1.09 end
% 0.42/1.09 permutation0:
% 0.42/1.09 0 ==> 0
% 0.42/1.09 1 ==> 1
% 0.42/1.09 end
% 0.42/1.09
% 0.42/1.09 subsumption: (2) {G0,W8,D2,L3,V2,M3} I { ! big_f( X, skol2 ), ! big_f( X, Y
% 0.42/1.09 ), alpha1( Y ) }.
% 0.42/1.09 parent0: (543) {G0,W8,D2,L3,V2,M3} { ! big_f( X, skol2 ), ! big_f( X, Y )
% 0.42/1.09 , alpha1( Y ) }.
% 0.42/1.09 substitution0:
% 0.42/1.09 X := X
% 0.42/1.09 Y := Y
% 0.42/1.09 end
% 0.42/1.09 permutation0:
% 0.42/1.09 0 ==> 0
% 0.42/1.09 1 ==> 1
% 0.42/1.09 2 ==> 2
% 0.42/1.09 end
% 0.42/1.09
% 0.42/1.09 subsumption: (3) {G0,W6,D3,L2,V2,M2} I { ! alpha1( skol5( Y ) ), big_f( X,
% 0.42/1.09 skol2 ) }.
% 0.42/1.09 parent0: (544) {G0,W6,D3,L2,V2,M2} { ! alpha1( skol5( Y ) ), big_f( X,
% 0.42/1.09 skol2 ) }.
% 0.42/1.09 substitution0:
% 0.42/1.09 X := X
% 0.42/1.09 Y := Y
% 0.42/1.09 end
% 0.42/1.09 permutation0:
% 0.42/1.09 0 ==> 0
% 0.42/1.09 1 ==> 1
% 0.42/1.09 end
% 0.42/1.09
% 0.42/1.09 subsumption: (4) {G0,W7,D3,L2,V1,M2} I { big_f( X, skol5( X ) ), big_f( X,
% 0.42/1.09 skol2 ) }.
% 0.42/1.09 parent0: (545) {G0,W7,D3,L2,V1,M2} { big_f( X, skol5( X ) ), big_f( X,
% 0.42/1.09 skol2 ) }.
% 0.42/1.09 substitution0:
% 0.42/1.09 X := X
% 0.42/1.09 end
% 0.42/1.09 permutation0:
% 0.42/1.09 0 ==> 0
% 0.42/1.09 1 ==> 1
% 0.42/1.09 end
% 0.42/1.09
% 0.42/1.09 subsumption: (5) {G0,W6,D3,L2,V1,M2} I { ! alpha1( X ), big_f( skol3( X ),
% 0.42/1.09 X ) }.
% 0.42/1.09 parent0: (546) {G0,W6,D3,L2,V1,M2} { ! alpha1( X ), big_f( skol3( X ), X )
% 0.42/1.09 }.
% 0.42/1.09 substitution0:
% 0.42/1.09 X := X
% 0.42/1.09 end
% 0.42/1.09 permutation0:
% 0.42/1.09 0 ==> 0
% 0.42/1.09 1 ==> 1
% 0.42/1.09 end
% 0.42/1.09
% 0.42/1.09 subsumption: (6) {G0,W6,D3,L2,V1,M2} I { ! alpha1( X ), alpha2( X, skol3( X
% 0.42/1.09 ) ) }.
% 0.42/1.09 parent0: (547) {G0,W6,D3,L2,V1,M2} { ! alpha1( X ), alpha2( X, skol3( X )
% 0.42/1.09 ) }.
% 0.42/1.09 substitution0:
% 0.42/1.09 X := X
% 0.42/1.09 end
% 0.42/1.09 permutation0:
% 0.42/1.09 0 ==> 0
% 0.42/1.09 1 ==> 1
% 0.42/1.09 end
% 0.42/1.09
% 0.42/1.09 subsumption: (7) {G0,W8,D2,L3,V2,M3} I { ! big_f( Y, X ), ! alpha2( X, Y )
% 0.42/1.09 , alpha1( X ) }.
% 0.42/1.09 parent0: (548) {G0,W8,D2,L3,V2,M3} { ! big_f( Y, X ), ! alpha2( X, Y ),
% 0.42/1.09 alpha1( X ) }.
% 0.42/1.09 substitution0:
% 0.42/1.09 X := X
% 0.42/1.09 Y := Y
% 0.42/1.09 end
% 0.42/1.09 permutation0:
% 0.42/1.09 0 ==> 0
% 0.42/1.09 1 ==> 1
% 0.42/1.09 2 ==> 2
% 0.42/1.09 end
% 0.42/1.09
% 0.42/1.09 subsumption: (8) {G0,W9,D2,L3,V3,M3} I { ! alpha2( X, Y ), ! big_f( Z, X )
% 0.42/1.09 , ! big_f( Z, Y ) }.
% 0.42/1.09 parent0: (549) {G0,W9,D2,L3,V3,M3} { ! alpha2( X, Y ), ! big_f( Z, X ), !
% 0.42/1.09 big_f( Z, Y ) }.
% 0.42/1.09 substitution0:
% 0.42/1.09 X := X
% 0.42/1.09 Y := Y
% 0.42/1.09 Z := Z
% 0.42/1.09 end
% 0.42/1.09 permutation0:
% 0.42/1.09 0 ==> 0
% 0.42/1.09 1 ==> 1
% 0.42/1.09 2 ==> 2
% 0.42/1.09 end
% 0.42/1.09
% 0.42/1.09 subsumption: (9) {G0,W8,D3,L2,V3,M2} I { big_f( skol4( Z, Y ), Y ), alpha2
% 0.42/1.09 ( X, Y ) }.
% 0.42/1.09 parent0: (550) {G0,W8,D3,L2,V3,M2} { big_f( skol4( Z, Y ), Y ), alpha2( X
% 0.42/1.09 , Y ) }.
% 0.42/1.09 substitution0:
% 0.42/1.09 X := X
% 0.42/1.09 Y := Y
% 0.42/1.09 Z := Z
% 0.42/1.09 end
% 0.42/1.09 permutation0:
% 0.42/1.09 0 ==> 0
% 0.42/1.09 1 ==> 1
% 0.42/1.09 end
% 0.42/1.09
% 0.42/1.09 subsumption: (10) {G0,W8,D3,L2,V2,M2} I { big_f( skol4( X, Y ), X ), alpha2
% 0.42/1.09 ( X, Y ) }.
% 0.42/1.09 parent0: (551) {G0,W8,D3,L2,V2,M2} { big_f( skol4( X, Y ), X ), alpha2( X
% 0.42/1.09 , Y ) }.
% 0.42/1.09 substitution0:
% 0.42/1.09 X := X
% 0.42/1.09 Y := Y
% 0.42/1.09 end
% 0.42/1.09 permutation0:
% 0.42/1.09 0 ==> 0
% 0.42/1.09 1 ==> 1
% 0.42/1.09 end
% 0.42/1.09
% 0.42/1.09 eqswap: (585) {G0,W7,D3,L2,V2,M2} { ! Y = X, big_f( X, skol1( Y ) ) }.
% 0.42/1.09 parent0[0]: (1) {G0,W7,D3,L2,V2,M2} I { ! Y = X, big_f( Y, skol1( X ) ) }.
% 0.42/1.09 substitution0:
% 0.42/1.09 X := Y
% 0.42/1.09 Y := X
% 0.42/1.09 end
% 0.42/1.09
% 0.42/1.09 eqrefl: (586) {G0,W4,D3,L1,V1,M1} { big_f( X, skol1( X ) ) }.
% 0.42/1.09 parent0[0]: (585) {G0,W7,D3,L2,V2,M2} { ! Y = X, big_f( X, skol1( Y ) )
% 0.42/1.09 }.
% 0.42/1.09 substitution0:
% 0.42/1.09 X := X
% 0.42/1.09 Y := X
% 0.42/1.09 end
% 0.42/1.09
% 0.42/1.09 subsumption: (11) {G1,W4,D3,L1,V1,M1} Q(1) { big_f( X, skol1( X ) ) }.
% 0.42/1.09 parent0: (586) {G0,W4,D3,L1,V1,M1} { big_f( X, skol1( X ) ) }.
% 0.42/1.09 substitution0:
% 0.42/1.09 X := X
% 0.42/1.09 end
% 0.42/1.09 permutation0:
% 0.42/1.09 0 ==> 0
% 0.42/1.09 end
% 0.42/1.09
% 0.42/1.09 eqswap: (587) {G0,W7,D3,L2,V2,M2} { Y = X, ! big_f( X, skol1( Y ) ) }.
% 0.42/1.09 parent0[1]: (0) {G0,W7,D3,L2,V2,M2} I { ! big_f( Y, skol1( X ) ), Y = X }.
% 0.42/1.09 substitution0:
% 0.42/1.09 X := Y
% 0.42/1.09 Y := X
% 0.42/1.09 end
% 0.42/1.09
% 0.42/1.09 resolution: (588) {G1,W8,D4,L2,V1,M2} { X = skol3( skol1( X ) ), ! alpha1
% 0.42/1.09 ( skol1( X ) ) }.
% 0.42/1.09 parent0[1]: (587) {G0,W7,D3,L2,V2,M2} { Y = X, ! big_f( X, skol1( Y ) )
% 0.42/1.09 }.
% 0.42/1.09 parent1[1]: (5) {G0,W6,D3,L2,V1,M2} I { ! alpha1( X ), big_f( skol3( X ), X
% 0.42/1.09 ) }.
% 0.42/1.09 substitution0:
% 0.42/1.09 X := skol3( skol1( X ) )
% 0.42/1.09 Y := X
% 0.42/1.09 end
% 0.42/1.09 substitution1:
% 0.42/1.09 X := skol1( X )
% 0.42/1.09 end
% 0.42/1.09
% 0.42/1.09 eqswap: (589) {G1,W8,D4,L2,V1,M2} { skol3( skol1( X ) ) = X, ! alpha1(
% 0.42/1.09 skol1( X ) ) }.
% 0.42/1.09 parent0[0]: (588) {G1,W8,D4,L2,V1,M2} { X = skol3( skol1( X ) ), ! alpha1
% 0.42/1.09 ( skol1( X ) ) }.
% 0.42/1.09 substitution0:
% 0.42/1.09 X := X
% 0.42/1.09 end
% 0.42/1.09
% 0.42/1.09 subsumption: (29) {G1,W8,D4,L2,V1,M2} R(5,0) { ! alpha1( skol1( X ) ),
% 0.42/1.09 skol3( skol1( X ) ) ==> X }.
% 0.42/1.09 parent0: (589) {G1,W8,D4,L2,V1,M2} { skol3( skol1( X ) ) = X, ! alpha1(
% 0.42/1.09 skol1( X ) ) }.
% 0.42/1.09 substitution0:
% 0.42/1.09 X := X
% 0.42/1.09 end
% 0.42/1.09 permutation0:
% 0.42/1.09 0 ==> 1
% 0.42/1.09 1 ==> 0
% 0.42/1.09 end
% 0.42/1.09
% 0.42/1.09 resolution: (590) {G1,W6,D3,L2,V1,M2} { ! big_f( X, skol2 ), alpha1( skol1
% 0.42/1.09 ( X ) ) }.
% 0.42/1.09 parent0[1]: (2) {G0,W8,D2,L3,V2,M3} I { ! big_f( X, skol2 ), ! big_f( X, Y
% 0.42/1.09 ), alpha1( Y ) }.
% 0.42/1.09 parent1[0]: (11) {G1,W4,D3,L1,V1,M1} Q(1) { big_f( X, skol1( X ) ) }.
% 0.42/1.09 substitution0:
% 0.42/1.09 X := X
% 0.42/1.09 Y := skol1( X )
% 0.42/1.09 end
% 0.42/1.09 substitution1:
% 0.42/1.09 X := X
% 0.42/1.09 end
% 0.42/1.09
% 0.42/1.09 subsumption: (51) {G2,W6,D3,L2,V1,M2} R(2,11) { ! big_f( X, skol2 ), alpha1
% 0.42/1.09 ( skol1( X ) ) }.
% 0.42/1.09 parent0: (590) {G1,W6,D3,L2,V1,M2} { ! big_f( X, skol2 ), alpha1( skol1( X
% 0.42/1.09 ) ) }.
% 0.42/1.09 substitution0:
% 0.42/1.09 X := X
% 0.42/1.09 end
% 0.42/1.09 permutation0:
% 0.42/1.09 0 ==> 0
% 0.42/1.09 1 ==> 1
% 0.42/1.09 end
% 0.42/1.09
% 0.42/1.09 resolution: (591) {G1,W7,D3,L2,V1,M2} { alpha1( skol1( X ) ), big_f( X,
% 0.42/1.09 skol5( X ) ) }.
% 0.42/1.09 parent0[0]: (51) {G2,W6,D3,L2,V1,M2} R(2,11) { ! big_f( X, skol2 ), alpha1
% 0.42/1.09 ( skol1( X ) ) }.
% 0.42/1.09 parent1[1]: (4) {G0,W7,D3,L2,V1,M2} I { big_f( X, skol5( X ) ), big_f( X,
% 0.42/1.09 skol2 ) }.
% 0.42/1.09 substitution0:
% 0.42/1.09 X := X
% 0.42/1.09 end
% 0.42/1.09 substitution1:
% 0.42/1.09 X := X
% 0.42/1.09 end
% 0.42/1.09
% 0.42/1.09 subsumption: (70) {G3,W7,D3,L2,V1,M2} R(4,51) { big_f( X, skol5( X ) ),
% 0.42/1.09 alpha1( skol1( X ) ) }.
% 0.42/1.09 parent0: (591) {G1,W7,D3,L2,V1,M2} { alpha1( skol1( X ) ), big_f( X, skol5
% 0.42/1.09 ( X ) ) }.
% 0.42/1.09 substitution0:
% 0.42/1.09 X := X
% 0.42/1.09 end
% 0.42/1.09 permutation0:
% 0.42/1.09 0 ==> 1
% 0.42/1.09 1 ==> 0
% 0.42/1.09 end
% 0.42/1.09
% 0.42/1.09 resolution: (592) {G1,W7,D3,L2,V2,M2} { ! alpha2( skol1( X ), Y ), ! big_f
% 0.42/1.09 ( X, Y ) }.
% 0.42/1.09 parent0[1]: (8) {G0,W9,D2,L3,V3,M3} I { ! alpha2( X, Y ), ! big_f( Z, X ),
% 0.42/1.09 ! big_f( Z, Y ) }.
% 0.42/1.09 parent1[0]: (11) {G1,W4,D3,L1,V1,M1} Q(1) { big_f( X, skol1( X ) ) }.
% 0.42/1.09 substitution0:
% 0.42/1.09 X := skol1( X )
% 0.42/1.09 Y := Y
% 0.42/1.09 Z := X
% 0.42/1.09 end
% 0.42/1.09 substitution1:
% 0.42/1.09 X := X
% 0.42/1.09 end
% 0.42/1.09
% 0.42/1.09 subsumption: (124) {G2,W7,D3,L2,V2,M2} R(8,11) { ! alpha2( skol1( X ), Y )
% 0.42/1.09 , ! big_f( X, Y ) }.
% 0.42/1.09 parent0: (592) {G1,W7,D3,L2,V2,M2} { ! alpha2( skol1( X ), Y ), ! big_f( X
% 0.42/1.09 , Y ) }.
% 0.42/1.09 substitution0:
% 0.42/1.09 X := X
% 0.42/1.09 Y := Y
% 0.42/1.09 end
% 0.42/1.09 permutation0:
% 0.42/1.09 0 ==> 0
% 0.42/1.09 1 ==> 1
% 0.42/1.09 end
% 0.42/1.09
% 0.42/1.09 resolution: (595) {G1,W8,D4,L2,V1,M2} { ! big_f( X, skol3( skol1( X ) ) )
% 0.42/1.09 , ! alpha1( skol1( X ) ) }.
% 0.42/1.09 parent0[0]: (124) {G2,W7,D3,L2,V2,M2} R(8,11) { ! alpha2( skol1( X ), Y ),
% 0.42/1.09 ! big_f( X, Y ) }.
% 0.42/1.09 parent1[1]: (6) {G0,W6,D3,L2,V1,M2} I { ! alpha1( X ), alpha2( X, skol3( X
% 0.42/1.09 ) ) }.
% 0.42/1.09 substitution0:
% 0.42/1.09 X := X
% 0.42/1.09 Y := skol3( skol1( X ) )
% 0.42/1.09 end
% 0.42/1.09 substitution1:
% 0.42/1.09 X := skol1( X )
% 0.42/1.09 end
% 0.42/1.09
% 0.42/1.09 paramod: (596) {G2,W9,D3,L3,V1,M3} { ! big_f( X, X ), ! alpha1( skol1( X )
% 0.42/1.09 ), ! alpha1( skol1( X ) ) }.
% 0.42/1.09 parent0[1]: (29) {G1,W8,D4,L2,V1,M2} R(5,0) { ! alpha1( skol1( X ) ), skol3
% 0.42/1.09 ( skol1( X ) ) ==> X }.
% 0.42/1.09 parent1[0; 3]: (595) {G1,W8,D4,L2,V1,M2} { ! big_f( X, skol3( skol1( X ) )
% 0.42/1.09 ), ! alpha1( skol1( X ) ) }.
% 0.42/1.09 substitution0:
% 0.42/1.09 X := X
% 0.42/1.09 end
% 0.42/1.09 substitution1:
% 0.42/1.09 X := X
% 0.42/1.09 end
% 0.42/1.09
% 0.42/1.09 factor: (597) {G2,W6,D3,L2,V1,M2} { ! big_f( X, X ), ! alpha1( skol1( X )
% 0.42/1.09 ) }.
% 0.42/1.09 parent0[1, 2]: (596) {G2,W9,D3,L3,V1,M3} { ! big_f( X, X ), ! alpha1(
% 0.42/1.09 skol1( X ) ), ! alpha1( skol1( X ) ) }.
% 0.42/1.09 substitution0:
% 0.42/1.09 X := X
% 0.42/1.09 end
% 0.42/1.09
% 0.42/1.09 subsumption: (133) {G3,W6,D3,L2,V1,M2} R(124,6);d(29) { ! alpha1( skol1( X
% 0.42/1.09 ) ), ! big_f( X, X ) }.
% 0.42/1.09 parent0: (597) {G2,W6,D3,L2,V1,M2} { ! big_f( X, X ), ! alpha1( skol1( X )
% 0.42/1.09 ) }.
% 0.42/1.09 substitution0:
% 0.42/1.09 X := X
% 0.42/1.09 end
% 0.42/1.09 permutation0:
% 0.42/1.09 0 ==> 1
% 0.42/1.09 1 ==> 0
% 0.42/1.09 end
% 0.42/1.09
% 0.42/1.09 resolution: (598) {G1,W7,D3,L2,V0,M2} { ! alpha1( skol1( skol2 ) ), big_f
% 0.42/1.09 ( skol2, skol5( skol2 ) ) }.
% 0.42/1.09 parent0[1]: (133) {G3,W6,D3,L2,V1,M2} R(124,6);d(29) { ! alpha1( skol1( X )
% 0.42/1.09 ), ! big_f( X, X ) }.
% 0.42/1.09 parent1[1]: (4) {G0,W7,D3,L2,V1,M2} I { big_f( X, skol5( X ) ), big_f( X,
% 0.42/1.09 skol2 ) }.
% 0.42/1.09 substitution0:
% 0.42/1.09 X := skol2
% 0.42/1.09 end
% 0.42/1.09 substitution1:
% 0.42/1.09 X := skol2
% 0.42/1.09 end
% 0.42/1.09
% 0.42/1.09 resolution: (599) {G2,W8,D3,L2,V0,M2} { big_f( skol2, skol5( skol2 ) ),
% 0.42/1.09 big_f( skol2, skol5( skol2 ) ) }.
% 0.42/1.09 parent0[0]: (598) {G1,W7,D3,L2,V0,M2} { ! alpha1( skol1( skol2 ) ), big_f
% 0.42/1.09 ( skol2, skol5( skol2 ) ) }.
% 0.42/1.09 parent1[1]: (70) {G3,W7,D3,L2,V1,M2} R(4,51) { big_f( X, skol5( X ) ),
% 0.42/1.09 alpha1( skol1( X ) ) }.
% 0.42/1.09 substitution0:
% 0.42/1.09 end
% 0.42/1.09 substitution1:
% 0.42/1.09 X := skol2
% 0.42/1.09 end
% 0.42/1.09
% 0.42/1.09 factor: (600) {G2,W4,D3,L1,V0,M1} { big_f( skol2, skol5( skol2 ) ) }.
% 0.42/1.09 parent0[0, 1]: (599) {G2,W8,D3,L2,V0,M2} { big_f( skol2, skol5( skol2 ) )
% 0.42/1.09 , big_f( skol2, skol5( skol2 ) ) }.
% 0.42/1.09 substitution0:
% 0.42/1.09 end
% 0.42/1.09
% 0.42/1.09 subsumption: (136) {G4,W4,D3,L1,V0,M1} R(133,4);r(70) { big_f( skol2, skol5
% 0.42/1.09 ( skol2 ) ) }.
% 0.42/1.09 parent0: (600) {G2,W4,D3,L1,V0,M1} { big_f( skol2, skol5( skol2 ) ) }.
% 0.42/1.09 substitution0:
% 0.42/1.09 end
% 0.42/1.09 permutation0:
% 0.42/1.09 0 ==> 0
% 0.42/1.09 end
% 0.42/1.09
% 0.42/1.09 resolution: (601) {G1,W10,D3,L3,V2,M3} { ! big_f( X, X ), ! big_f( Y,
% 0.42/1.09 skol2 ), ! big_f( Y, skol1( X ) ) }.
% 0.42/1.09 parent0[0]: (133) {G3,W6,D3,L2,V1,M2} R(124,6);d(29) { ! alpha1( skol1( X )
% 0.42/1.09 ), ! big_f( X, X ) }.
% 0.42/1.09 parent1[2]: (2) {G0,W8,D2,L3,V2,M3} I { ! big_f( X, skol2 ), ! big_f( X, Y
% 0.42/1.09 ), alpha1( Y ) }.
% 0.42/1.09 substitution0:
% 0.42/1.09 X := X
% 0.42/1.09 end
% 0.42/1.09 substitution1:
% 0.42/1.09 X := Y
% 0.42/1.09 Y := skol1( X )
% 0.42/1.09 end
% 0.42/1.09
% 0.42/1.09 subsumption: (140) {G4,W10,D3,L3,V2,M3} R(133,2) { ! big_f( X, X ), ! big_f
% 0.42/1.09 ( Y, skol2 ), ! big_f( Y, skol1( X ) ) }.
% 0.42/1.09 parent0: (601) {G1,W10,D3,L3,V2,M3} { ! big_f( X, X ), ! big_f( Y, skol2 )
% 0.42/1.09 , ! big_f( Y, skol1( X ) ) }.
% 0.42/1.09 substitution0:
% 0.42/1.09 X := X
% 0.42/1.09 Y := Y
% 0.42/1.09 end
% 0.42/1.09 permutation0:
% 0.42/1.09 0 ==> 0
% 0.42/1.09 1 ==> 1
% 0.42/1.09 2 ==> 2
% 0.42/1.09 end
% 0.42/1.09
% 0.42/1.09 factor: (603) {G4,W7,D3,L2,V0,M2} { ! big_f( skol2, skol2 ), ! big_f(
% 0.42/1.09 skol2, skol1( skol2 ) ) }.
% 0.42/1.09 parent0[0, 1]: (140) {G4,W10,D3,L3,V2,M3} R(133,2) { ! big_f( X, X ), !
% 0.42/1.09 big_f( Y, skol2 ), ! big_f( Y, skol1( X ) ) }.
% 0.42/1.09 substitution0:
% 0.42/1.09 X := skol2
% 0.42/1.09 Y := skol2
% 0.42/1.09 end
% 0.42/1.09
% 0.42/1.09 resolution: (604) {G2,W3,D2,L1,V0,M1} { ! big_f( skol2, skol2 ) }.
% 0.42/1.09 parent0[1]: (603) {G4,W7,D3,L2,V0,M2} { ! big_f( skol2, skol2 ), ! big_f(
% 0.42/1.09 skol2, skol1( skol2 ) ) }.
% 0.42/1.09 parent1[0]: (11) {G1,W4,D3,L1,V1,M1} Q(1) { big_f( X, skol1( X ) ) }.
% 0.42/1.09 substitution0:
% 0.42/1.09 end
% 0.42/1.09 substitution1:
% 0.42/1.09 X := skol2
% 0.42/1.09 end
% 0.42/1.09
% 0.42/1.09 subsumption: (143) {G5,W3,D2,L1,V0,M1} F(140);r(11) { ! big_f( skol2, skol2
% 0.42/1.09 ) }.
% 0.42/1.09 parent0: (604) {G2,W3,D2,L1,V0,M1} { ! big_f( skol2, skol2 ) }.
% 0.42/1.09 substitution0:
% 0.42/1.09 end
% 0.42/1.09 permutation0:
% 0.42/1.09 0 ==> 0
% 0.42/1.09 end
% 0.42/1.09
% 0.42/1.09 resolution: (605) {G1,W3,D3,L1,V1,M1} { ! alpha1( skol5( X ) ) }.
% 0.42/1.09 parent0[0]: (143) {G5,W3,D2,L1,V0,M1} F(140);r(11) { ! big_f( skol2, skol2
% 0.42/1.09 ) }.
% 0.42/1.09 parent1[1]: (3) {G0,W6,D3,L2,V2,M2} I { ! alpha1( skol5( Y ) ), big_f( X,
% 0.42/1.09 skol2 ) }.
% 0.42/1.09 substitution0:
% 0.42/1.09 end
% 0.42/1.09 substitution1:
% 0.42/1.09 X := skol2
% 0.42/1.09 Y := X
% 0.42/1.09 end
% 0.42/1.09
% 0.42/1.09 subsumption: (144) {G6,W3,D3,L1,V1,M1} R(143,3) { ! alpha1( skol5( X ) )
% 0.42/1.09 }.
% 0.42/1.09 parent0: (605) {G1,W3,D3,L1,V1,M1} { ! alpha1( skol5( X ) ) }.
% 0.42/1.09 substitution0:
% 0.42/1.09 X := X
% 0.42/1.09 end
% 0.42/1.09 permutation0:
% 0.42/1.09 0 ==> 0
% 0.42/1.09 end
% 0.42/1.09
% 0.42/1.09 resolution: (606) {G1,W7,D3,L2,V0,M2} { ! alpha2( skol5( skol2 ), skol2 )
% 0.42/1.09 , alpha1( skol5( skol2 ) ) }.
% 0.42/1.09 parent0[0]: (7) {G0,W8,D2,L3,V2,M3} I { ! big_f( Y, X ), ! alpha2( X, Y ),
% 0.42/1.09 alpha1( X ) }.
% 0.42/1.09 parent1[0]: (136) {G4,W4,D3,L1,V0,M1} R(133,4);r(70) { big_f( skol2, skol5
% 0.42/1.09 ( skol2 ) ) }.
% 0.42/1.09 substitution0:
% 0.42/1.09 X := skol5( skol2 )
% 0.42/1.09 Y := skol2
% 0.42/1.09 end
% 0.42/1.09 substitution1:
% 0.42/1.09 end
% 0.42/1.09
% 0.42/1.09 resolution: (607) {G2,W4,D3,L1,V0,M1} { ! alpha2( skol5( skol2 ), skol2 )
% 0.42/1.09 }.
% 0.42/1.09 parent0[0]: (144) {G6,W3,D3,L1,V1,M1} R(143,3) { ! alpha1( skol5( X ) ) }.
% 0.42/1.09 parent1[1]: (606) {G1,W7,D3,L2,V0,M2} { ! alpha2( skol5( skol2 ), skol2 )
% 0.42/1.09 , alpha1( skol5( skol2 ) ) }.
% 0.42/1.09 substitution0:
% 0.42/1.09 X := skol2
% 0.42/1.09 end
% 0.42/1.09 substitution1:
% 0.42/1.09 end
% 0.42/1.09
% 0.42/1.09 subsumption: (175) {G7,W4,D3,L1,V0,M1} R(136,7);r(144) { ! alpha2( skol5(
% 0.42/1.09 skol2 ), skol2 ) }.
% 0.42/1.09 parent0: (607) {G2,W4,D3,L1,V0,M1} { ! alpha2( skol5( skol2 ), skol2 ) }.
% 0.42/1.09 substitution0:
% 0.42/1.09 end
% 0.42/1.09 permutation0:
% 0.42/1.09 0 ==> 0
% 0.42/1.09 end
% 0.42/1.09
% 0.42/1.09 resolution: (608) {G1,W5,D3,L1,V1,M1} { big_f( skol4( X, skol2 ), skol2 )
% 0.42/1.09 }.
% 0.42/1.09 parent0[0]: (175) {G7,W4,D3,L1,V0,M1} R(136,7);r(144) { ! alpha2( skol5(
% 0.42/1.09 skol2 ), skol2 ) }.
% 0.42/1.09 parent1[1]: (9) {G0,W8,D3,L2,V3,M2} I { big_f( skol4( Z, Y ), Y ), alpha2(
% 0.42/1.09 X, Y ) }.
% 0.42/1.09 substitution0:
% 0.42/1.09 end
% 0.42/1.09 substitution1:
% 0.42/1.09 X := skol5( skol2 )
% 0.42/1.09 Y := skol2
% 0.42/1.09 Z := X
% 0.42/1.09 end
% 0.42/1.09
% 0.42/1.09 subsumption: (181) {G8,W5,D3,L1,V1,M1} R(175,9) { big_f( skol4( X, skol2 )
% 0.42/1.09 , skol2 ) }.
% 0.42/1.09 parent0: (608) {G1,W5,D3,L1,V1,M1} { big_f( skol4( X, skol2 ), skol2 ) }.
% 0.42/1.09 substitution0:
% 0.42/1.09 X := X
% 0.42/1.09 end
% 0.42/1.09 permutation0:
% 0.42/1.09 0 ==> 0
% 0.42/1.09 end
% 0.42/1.09
% 0.42/1.09 resolution: (609) {G1,W7,D3,L2,V2,M2} { ! big_f( skol4( X, skol2 ), Y ),
% 0.42/1.09 alpha1( Y ) }.
% 0.42/1.09 parent0[0]: (2) {G0,W8,D2,L3,V2,M3} I { ! big_f( X, skol2 ), ! big_f( X, Y
% 0.42/1.09 ), alpha1( Y ) }.
% 0.42/1.09 parent1[0]: (181) {G8,W5,D3,L1,V1,M1} R(175,9) { big_f( skol4( X, skol2 ),
% 0.42/1.09 skol2 ) }.
% 0.42/1.09 substitution0:
% 0.42/1.09 X := skol4( X, skol2 )
% 0.42/1.09 Y := Y
% 0.42/1.09 end
% 0.42/1.09 substitution1:
% 0.42/1.09 X := X
% 0.42/1.09 end
% 0.42/1.09
% 0.42/1.09 subsumption: (284) {G9,W7,D3,L2,V2,M2} R(181,2) { ! big_f( skol4( X, skol2
% 0.42/1.09 ), Y ), alpha1( Y ) }.
% 0.42/1.09 parent0: (609) {G1,W7,D3,L2,V2,M2} { ! big_f( skol4( X, skol2 ), Y ),
% 0.42/1.09 alpha1( Y ) }.
% 0.42/1.09 substitution0:
% 0.42/1.09 X := X
% 0.42/1.09 Y := Y
% 0.42/1.09 end
% 0.42/1.09 permutation0:
% 0.42/1.09 0 ==> 0
% 0.42/1.09 1 ==> 1
% 0.42/1.09 end
% 0.42/1.09
% 0.42/1.09 resolution: (610) {G1,W5,D2,L2,V1,M2} { alpha1( X ), alpha2( X, skol2 )
% 0.42/1.09 }.
% 0.42/1.09 parent0[0]: (284) {G9,W7,D3,L2,V2,M2} R(181,2) { ! big_f( skol4( X, skol2 )
% 0.42/1.09 , Y ), alpha1( Y ) }.
% 0.42/1.09 parent1[0]: (10) {G0,W8,D3,L2,V2,M2} I { big_f( skol4( X, Y ), X ), alpha2
% 0.42/1.09 ( X, Y ) }.
% 0.42/1.09 substitution0:
% 0.42/1.09 X := X
% 0.42/1.09 Y := X
% 0.42/1.09 end
% 0.42/1.09 substitution1:
% 0.42/1.09 X := X
% 0.42/1.09 Y := skol2
% 0.42/1.09 end
% 0.42/1.09
% 0.42/1.09 subsumption: (523) {G10,W5,D2,L2,V1,M2} R(284,10) { alpha1( X ), alpha2( X
% 0.42/1.09 , skol2 ) }.
% 0.42/1.09 parent0: (610) {G1,W5,D2,L2,V1,M2} { alpha1( X ), alpha2( X, skol2 ) }.
% 0.42/1.09 substitution0:
% 0.42/1.09 X := X
% 0.42/1.09 end
% 0.42/1.09 permutation0:
% 0.42/1.09 0 ==> 0
% 0.42/1.09 1 ==> 1
% 0.42/1.09 end
% 0.42/1.09
% 0.42/1.09 resolution: (611) {G8,W3,D3,L1,V0,M1} { alpha1( skol5( skol2 ) ) }.
% 0.42/1.09 parent0[0]: (175) {G7,W4,D3,L1,V0,M1} R(136,7);r(144) { ! alpha2( skol5(
% 0.42/1.09 skol2 ), skol2 ) }.
% 0.42/1.09 parent1[1]: (523) {G10,W5,D2,L2,V1,M2} R(284,10) { alpha1( X ), alpha2( X,
% 0.42/1.09 skol2 ) }.
% 0.42/1.09 substitution0:
% 0.42/1.09 end
% 0.42/1.09 substitution1:
% 0.42/1.09 X := skol5( skol2 )
% 0.42/1.09 end
% 0.42/1.09
% 0.42/1.09 resolution: (612) {G7,W0,D0,L0,V0,M0} { }.
% 0.42/1.09 parent0[0]: (144) {G6,W3,D3,L1,V1,M1} R(143,3) { ! alpha1( skol5( X ) ) }.
% 0.42/1.09 parent1[0]: (611) {G8,W3,D3,L1,V0,M1} { alpha1( skol5( skol2 ) ) }.
% 0.42/1.09 substitution0:
% 0.42/1.09 X := skol2
% 0.42/1.09 end
% 0.42/1.09 substitution1:
% 0.42/1.09 end
% 0.42/1.09
% 0.42/1.09 subsumption: (539) {G11,W0,D0,L0,V0,M0} R(523,175);r(144) { }.
% 0.42/1.09 parent0: (612) {G7,W0,D0,L0,V0,M0} { }.
% 0.42/1.09 substitution0:
% 0.42/1.09 end
% 0.42/1.09 permutation0:
% 0.42/1.09 end
% 0.42/1.09
% 0.42/1.09 Proof check complete!
% 0.42/1.09
% 0.42/1.09 Memory use:
% 0.42/1.09
% 0.42/1.09 space for terms: 6613
% 0.42/1.09 space for clauses: 24287
% 0.42/1.09
% 0.42/1.09
% 0.42/1.09 clauses generated: 1029
% 0.42/1.09 clauses kept: 540
% 0.42/1.09 clauses selected: 65
% 0.42/1.09 clauses deleted: 4
% 0.42/1.09 clauses inuse deleted: 0
% 0.42/1.09
% 0.42/1.09 subsentry: 2429
% 0.42/1.09 literals s-matched: 1292
% 0.42/1.09 literals matched: 1031
% 0.42/1.09 full subsumption: 209
% 0.42/1.09
% 0.42/1.09 checksum: 1378110141
% 0.42/1.09
% 0.42/1.09
% 0.42/1.09 Bliksem ended
%------------------------------------------------------------------------------