TSTP Solution File: SYN059+1 by Bliksem---1.12
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : SYN059+1 : TPTP v8.1.0. Released v2.0.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n005.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 02:47:14 EDT 2022
% Result : Theorem 0.43s 1.06s
% Output : Refutation 0.43s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.11 % Problem : SYN059+1 : TPTP v8.1.0. Released v2.0.0.
% 0.10/0.12 % Command : bliksem %s
% 0.12/0.33 % Computer : n005.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % DateTime : Tue Jul 12 00:28:21 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.43/1.06 *** allocated 10000 integers for termspace/termends
% 0.43/1.06 *** allocated 10000 integers for clauses
% 0.43/1.06 *** allocated 10000 integers for justifications
% 0.43/1.06 Bliksem 1.12
% 0.43/1.06
% 0.43/1.06
% 0.43/1.06 Automatic Strategy Selection
% 0.43/1.06
% 0.43/1.06
% 0.43/1.06 Clauses:
% 0.43/1.06
% 0.43/1.06 { big_f( skol1 ) }.
% 0.43/1.06 { big_g( skol2 ) }.
% 0.43/1.06 { alpha6, ! alpha2( X, Y ), alpha4( X, Y ) }.
% 0.43/1.06 { alpha6, ! alpha1 }.
% 0.43/1.06 { ! alpha6, alpha1 }.
% 0.43/1.06 { ! alpha6, alpha2( skol3, skol6 ) }.
% 0.43/1.06 { ! alpha6, ! alpha4( skol3, skol6 ) }.
% 0.43/1.06 { ! alpha1, ! alpha2( X, Y ), alpha4( X, Y ), alpha6 }.
% 0.43/1.06 { ! alpha4( X, Y ), big_h( X ) }.
% 0.43/1.06 { ! alpha4( X, Y ), big_j( Y ) }.
% 0.43/1.06 { ! big_h( X ), ! big_j( Y ), alpha4( X, Y ) }.
% 0.43/1.06 { ! alpha2( X, Y ), big_f( X ) }.
% 0.43/1.06 { ! alpha2( X, Y ), big_g( Y ) }.
% 0.43/1.06 { ! big_f( X ), ! big_g( Y ), alpha2( X, Y ) }.
% 0.43/1.06 { ! alpha1, alpha3 }.
% 0.43/1.06 { ! alpha1, alpha5 }.
% 0.43/1.06 { ! alpha3, ! alpha5, alpha1 }.
% 0.43/1.06 { ! alpha5, ! big_g( X ), big_j( X ) }.
% 0.43/1.06 { big_g( skol4 ), alpha5 }.
% 0.43/1.06 { ! big_j( skol4 ), alpha5 }.
% 0.43/1.06 { ! alpha3, ! big_f( X ), big_h( X ) }.
% 0.43/1.06 { big_f( skol5 ), alpha3 }.
% 0.43/1.06 { ! big_h( skol5 ), alpha3 }.
% 0.43/1.06
% 0.43/1.06 percentage equality = 0.000000, percentage horn = 0.863636
% 0.43/1.06 This a non-horn, non-equality problem
% 0.43/1.06
% 0.43/1.06
% 0.43/1.06 Options Used:
% 0.43/1.06
% 0.43/1.06 useres = 1
% 0.43/1.06 useparamod = 0
% 0.43/1.06 useeqrefl = 0
% 0.43/1.06 useeqfact = 0
% 0.43/1.06 usefactor = 1
% 0.43/1.06 usesimpsplitting = 0
% 0.43/1.06 usesimpdemod = 0
% 0.43/1.06 usesimpres = 3
% 0.43/1.06
% 0.43/1.06 resimpinuse = 1000
% 0.43/1.06 resimpclauses = 20000
% 0.43/1.06 substype = standard
% 0.43/1.06 backwardsubs = 1
% 0.43/1.06 selectoldest = 5
% 0.43/1.06
% 0.43/1.06 litorderings [0] = split
% 0.43/1.06 litorderings [1] = liftord
% 0.43/1.06
% 0.43/1.06 termordering = none
% 0.43/1.06
% 0.43/1.06 litapriori = 1
% 0.43/1.06 termapriori = 0
% 0.43/1.06 litaposteriori = 0
% 0.43/1.06 termaposteriori = 0
% 0.43/1.06 demodaposteriori = 0
% 0.43/1.06 ordereqreflfact = 0
% 0.43/1.06
% 0.43/1.06 litselect = none
% 0.43/1.06
% 0.43/1.06 maxweight = 15
% 0.43/1.06 maxdepth = 30000
% 0.43/1.06 maxlength = 115
% 0.43/1.06 maxnrvars = 195
% 0.43/1.06 excuselevel = 1
% 0.43/1.06 increasemaxweight = 1
% 0.43/1.06
% 0.43/1.06 maxselected = 10000000
% 0.43/1.06 maxnrclauses = 10000000
% 0.43/1.06
% 0.43/1.06 showgenerated = 0
% 0.43/1.06 showkept = 0
% 0.43/1.06 showselected = 0
% 0.43/1.06 showdeleted = 0
% 0.43/1.06 showresimp = 1
% 0.43/1.06 showstatus = 2000
% 0.43/1.06
% 0.43/1.06 prologoutput = 0
% 0.43/1.06 nrgoals = 5000000
% 0.43/1.06 totalproof = 1
% 0.43/1.06
% 0.43/1.06 Symbols occurring in the translation:
% 0.43/1.06
% 0.43/1.06 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 0.43/1.06 . [1, 2] (w:1, o:29, a:1, s:1, b:0),
% 0.43/1.06 ! [4, 1] (w:0, o:20, a:1, s:1, b:0),
% 0.43/1.06 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.43/1.06 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.43/1.06 big_f [36, 1] (w:1, o:25, a:1, s:1, b:0),
% 0.43/1.06 big_g [38, 1] (w:1, o:26, a:1, s:1, b:0),
% 0.43/1.06 big_h [39, 1] (w:1, o:27, a:1, s:1, b:0),
% 0.43/1.06 big_j [41, 1] (w:1, o:28, a:1, s:1, b:0),
% 0.43/1.06 alpha1 [43, 0] (w:1, o:10, a:1, s:1, b:0),
% 0.43/1.06 alpha2 [44, 2] (w:1, o:53, a:1, s:1, b:0),
% 0.43/1.06 alpha3 [45, 0] (w:1, o:11, a:1, s:1, b:0),
% 0.43/1.06 alpha4 [46, 2] (w:1, o:54, a:1, s:1, b:0),
% 0.43/1.06 alpha5 [47, 0] (w:1, o:12, a:1, s:1, b:0),
% 0.43/1.06 alpha6 [48, 0] (w:1, o:13, a:1, s:1, b:0),
% 0.43/1.06 skol1 [49, 0] (w:1, o:14, a:1, s:1, b:0),
% 0.43/1.06 skol2 [50, 0] (w:1, o:15, a:1, s:1, b:0),
% 0.43/1.06 skol3 [51, 0] (w:1, o:16, a:1, s:1, b:0),
% 0.43/1.06 skol4 [52, 0] (w:1, o:17, a:1, s:1, b:0),
% 0.43/1.06 skol5 [53, 0] (w:1, o:18, a:1, s:1, b:0),
% 0.43/1.06 skol6 [54, 0] (w:1, o:19, a:1, s:1, b:0).
% 0.43/1.06
% 0.43/1.06
% 0.43/1.06 Starting Search:
% 0.43/1.06
% 0.43/1.06
% 0.43/1.06 Bliksems!, er is een bewijs:
% 0.43/1.06 % SZS status Theorem
% 0.43/1.06 % SZS output start Refutation
% 0.43/1.06
% 0.43/1.06 (0) {G0,W2,D2,L1,V0,M1} I { big_f( skol1 ) }.
% 0.43/1.06 (1) {G0,W2,D2,L1,V0,M1} I { big_g( skol2 ) }.
% 0.43/1.06 (2) {G0,W7,D2,L3,V2,M1} I { alpha6, ! alpha2( X, Y ), alpha4( X, Y ) }.
% 0.43/1.06 (3) {G0,W2,D1,L2,V0,M1} I { alpha6, ! alpha1 }.
% 0.43/1.06 (4) {G0,W2,D1,L2,V0,M1} I { alpha1, ! alpha6 }.
% 0.43/1.06 (5) {G0,W4,D2,L2,V0,M1} I { alpha2( skol3, skol6 ), ! alpha6 }.
% 0.43/1.06 (6) {G0,W4,D2,L2,V0,M1} I { ! alpha4( skol3, skol6 ), ! alpha6 }.
% 0.43/1.06 (7) {G0,W5,D2,L2,V2,M1} I { big_h( X ), ! alpha4( X, Y ) }.
% 0.43/1.06 (8) {G0,W5,D2,L2,V2,M1} I { big_j( Y ), ! alpha4( X, Y ) }.
% 0.43/1.06 (9) {G0,W7,D2,L3,V2,M1} I { ! big_h( X ), ! big_j( Y ), alpha4( X, Y ) }.
% 0.43/1.06 (10) {G0,W5,D2,L2,V2,M1} I { big_f( X ), ! alpha2( X, Y ) }.
% 0.43/1.06 (11) {G0,W5,D2,L2,V2,M1} I { big_g( Y ), ! alpha2( X, Y ) }.
% 0.43/1.06 (12) {G0,W7,D2,L3,V2,M1} I { ! big_f( X ), ! big_g( Y ), alpha2( X, Y ) }.
% 0.43/1.06 (13) {G0,W2,D1,L2,V0,M1} I { alpha3, ! alpha1 }.
% 0.43/1.06 (14) {G0,W2,D1,L2,V0,M1} I { alpha5, ! alpha1 }.
% 0.43/1.06 (15) {G0,W3,D1,L3,V0,M1} I { ! alpha3, alpha1, ! alpha5 }.
% 0.43/1.06 (16) {G0,W5,D2,L3,V1,M1} I { ! big_g( X ), big_j( X ), ! alpha5 }.
% 0.43/1.06 (17) {G0,W3,D2,L2,V0,M1} I { alpha5, big_g( skol4 ) }.
% 0.43/1.06 (18) {G0,W3,D2,L2,V0,M1} I { alpha5, ! big_j( skol4 ) }.
% 0.43/1.06 (19) {G0,W5,D2,L3,V1,M1} I { ! big_f( X ), big_h( X ), ! alpha3 }.
% 0.43/1.06 (20) {G0,W3,D2,L2,V0,M1} I { alpha3, big_f( skol5 ) }.
% 0.43/1.06 (21) {G0,W3,D2,L2,V0,M1} I { alpha3, ! big_h( skol5 ) }.
% 0.43/1.06 (22) {G1,W6,D2,L3,V2,M1} R(7,2) { alpha6, big_h( X ), ! alpha2( X, Y ) }.
% 0.43/1.06 (23) {G1,W6,D2,L3,V2,M1} R(8,2) { alpha6, big_j( X ), ! alpha2( Y, X ) }.
% 0.43/1.06 (24) {G2,W7,D2,L4,V2,M1} R(12,22) { ! big_f( X ), alpha6, ! big_g( Y ),
% 0.43/1.06 big_h( X ) }.
% 0.43/1.06 (25) {G2,W7,D2,L4,V2,M1} R(12,23) { ! big_f( X ), alpha6, ! big_g( Y ),
% 0.43/1.06 big_j( Y ) }.
% 0.43/1.06 (26) {G3,W4,D2,L3,V1,M1} R(24,21);r(20) { alpha6, alpha3, ! big_g( X ) }.
% 0.43/1.06 (27) {G3,W4,D2,L3,V1,M1} R(25,18);r(17) { alpha6, alpha5, ! big_f( X ) }.
% 0.43/1.06 (29) {G4,W2,D1,L2,V0,M1} R(27,0) { alpha5, alpha6 }.
% 0.43/1.06 (32) {G5,W1,D1,L1,V0,M1} R(29,4);r(14) { alpha5 }.
% 0.43/1.06 (33) {G6,W4,D2,L2,V1,M1} R(32,16) { ! big_g( X ), big_j( X ) }.
% 0.43/1.06 (34) {G6,W2,D1,L2,V0,M1} R(32,15) { alpha1, ! alpha3 }.
% 0.43/1.06 (35) {G4,W2,D1,L2,V0,M1} R(26,1) { alpha3, alpha6 }.
% 0.43/1.06 (38) {G7,W1,D1,L1,V0,M1} R(35,4);r(34) { alpha1 }.
% 0.43/1.06 (39) {G8,W1,D1,L1,V0,M1} R(38,3) { alpha6 }.
% 0.43/1.06 (40) {G8,W1,D1,L1,V0,M1} R(38,13) { alpha3 }.
% 0.43/1.06 (41) {G9,W3,D2,L1,V0,M1} R(39,5) { alpha2( skol3, skol6 ) }.
% 0.43/1.06 (42) {G9,W3,D2,L1,V0,M1} R(39,6) { ! alpha4( skol3, skol6 ) }.
% 0.43/1.06 (43) {G9,W4,D2,L2,V1,M1} R(40,19) { ! big_f( X ), big_h( X ) }.
% 0.43/1.06 (44) {G10,W2,D2,L1,V0,M1} R(41,10) { big_f( skol3 ) }.
% 0.43/1.06 (45) {G10,W2,D2,L1,V0,M1} R(41,11) { big_g( skol6 ) }.
% 0.43/1.06 (46) {G10,W4,D2,L2,V0,M1} R(42,9) { ! big_h( skol3 ), ! big_j( skol6 ) }.
% 0.43/1.06 (47) {G11,W2,D2,L1,V0,M1} R(46,33);r(45) { ! big_h( skol3 ) }.
% 0.43/1.06 (48) {G12,W0,D0,L0,V0,M0} R(47,43);r(44) { }.
% 0.43/1.06
% 0.43/1.06
% 0.43/1.06 % SZS output end Refutation
% 0.43/1.06 found a proof!
% 0.43/1.06
% 0.43/1.06
% 0.43/1.06 Unprocessed initial clauses:
% 0.43/1.06
% 0.43/1.06 (50) {G0,W2,D2,L1,V0,M1} { big_f( skol1 ) }.
% 0.43/1.06 (51) {G0,W2,D2,L1,V0,M1} { big_g( skol2 ) }.
% 0.43/1.06 (52) {G0,W7,D2,L3,V2,M3} { alpha6, ! alpha2( X, Y ), alpha4( X, Y ) }.
% 0.43/1.06 (53) {G0,W2,D1,L2,V0,M2} { alpha6, ! alpha1 }.
% 0.43/1.06 (54) {G0,W2,D1,L2,V0,M2} { ! alpha6, alpha1 }.
% 0.43/1.06 (55) {G0,W4,D2,L2,V0,M2} { ! alpha6, alpha2( skol3, skol6 ) }.
% 0.43/1.06 (56) {G0,W4,D2,L2,V0,M2} { ! alpha6, ! alpha4( skol3, skol6 ) }.
% 0.43/1.06 (57) {G0,W8,D2,L4,V2,M4} { ! alpha1, ! alpha2( X, Y ), alpha4( X, Y ),
% 0.43/1.06 alpha6 }.
% 0.43/1.06 (58) {G0,W5,D2,L2,V2,M2} { ! alpha4( X, Y ), big_h( X ) }.
% 0.43/1.06 (59) {G0,W5,D2,L2,V2,M2} { ! alpha4( X, Y ), big_j( Y ) }.
% 0.43/1.06 (60) {G0,W7,D2,L3,V2,M3} { ! big_h( X ), ! big_j( Y ), alpha4( X, Y ) }.
% 0.43/1.06 (61) {G0,W5,D2,L2,V2,M2} { ! alpha2( X, Y ), big_f( X ) }.
% 0.43/1.06 (62) {G0,W5,D2,L2,V2,M2} { ! alpha2( X, Y ), big_g( Y ) }.
% 0.43/1.06 (63) {G0,W7,D2,L3,V2,M3} { ! big_f( X ), ! big_g( Y ), alpha2( X, Y ) }.
% 0.43/1.06 (64) {G0,W2,D1,L2,V0,M2} { ! alpha1, alpha3 }.
% 0.43/1.06 (65) {G0,W2,D1,L2,V0,M2} { ! alpha1, alpha5 }.
% 0.43/1.06 (66) {G0,W3,D1,L3,V0,M3} { ! alpha3, ! alpha5, alpha1 }.
% 0.43/1.06 (67) {G0,W5,D2,L3,V1,M3} { ! alpha5, ! big_g( X ), big_j( X ) }.
% 0.43/1.06 (68) {G0,W3,D2,L2,V0,M2} { big_g( skol4 ), alpha5 }.
% 0.43/1.06 (69) {G0,W3,D2,L2,V0,M2} { ! big_j( skol4 ), alpha5 }.
% 0.43/1.06 (70) {G0,W5,D2,L3,V1,M3} { ! alpha3, ! big_f( X ), big_h( X ) }.
% 0.43/1.06 (71) {G0,W3,D2,L2,V0,M2} { big_f( skol5 ), alpha3 }.
% 0.43/1.06 (72) {G0,W3,D2,L2,V0,M2} { ! big_h( skol5 ), alpha3 }.
% 0.43/1.06
% 0.43/1.06
% 0.43/1.06 Total Proof:
% 0.43/1.06
% 0.43/1.06 subsumption: (0) {G0,W2,D2,L1,V0,M1} I { big_f( skol1 ) }.
% 0.43/1.06 parent0: (50) {G0,W2,D2,L1,V0,M1} { big_f( skol1 ) }.
% 0.43/1.06 substitution0:
% 0.43/1.06 end
% 0.43/1.06 permutation0:
% 0.43/1.06 0 ==> 0
% 0.43/1.06 end
% 0.43/1.06
% 0.43/1.06 subsumption: (1) {G0,W2,D2,L1,V0,M1} I { big_g( skol2 ) }.
% 0.43/1.06 parent0: (51) {G0,W2,D2,L1,V0,M1} { big_g( skol2 ) }.
% 0.43/1.06 substitution0:
% 0.43/1.06 end
% 0.43/1.06 permutation0:
% 0.43/1.06 0 ==> 0
% 0.43/1.06 end
% 0.43/1.06
% 0.43/1.06 subsumption: (2) {G0,W7,D2,L3,V2,M1} I { alpha6, ! alpha2( X, Y ), alpha4(
% 0.43/1.06 X, Y ) }.
% 0.43/1.06 parent0: (52) {G0,W7,D2,L3,V2,M3} { alpha6, ! alpha2( X, Y ), alpha4( X, Y
% 0.43/1.06 ) }.
% 0.43/1.06 substitution0:
% 0.43/1.06 X := X
% 0.43/1.06 Y := Y
% 0.43/1.06 end
% 0.43/1.06 permutation0:
% 0.43/1.06 0 ==> 0
% 0.43/1.06 1 ==> 1
% 0.43/1.06 2 ==> 2
% 0.43/1.06 end
% 0.43/1.06
% 0.43/1.06 subsumption: (3) {G0,W2,D1,L2,V0,M1} I { alpha6, ! alpha1 }.
% 0.43/1.06 parent0: (53) {G0,W2,D1,L2,V0,M2} { alpha6, ! alpha1 }.
% 0.43/1.06 substitution0:
% 0.43/1.06 end
% 0.43/1.06 permutation0:
% 0.43/1.06 0 ==> 0
% 0.43/1.06 1 ==> 1
% 0.43/1.06 end
% 0.43/1.06
% 0.43/1.06 subsumption: (4) {G0,W2,D1,L2,V0,M1} I { alpha1, ! alpha6 }.
% 0.43/1.06 parent0: (54) {G0,W2,D1,L2,V0,M2} { ! alpha6, alpha1 }.
% 0.43/1.06 substitution0:
% 0.43/1.06 end
% 0.43/1.06 permutation0:
% 0.43/1.06 0 ==> 1
% 0.43/1.06 1 ==> 0
% 0.43/1.06 end
% 0.43/1.06
% 0.43/1.06 subsumption: (5) {G0,W4,D2,L2,V0,M1} I { alpha2( skol3, skol6 ), ! alpha6
% 0.43/1.06 }.
% 0.43/1.06 parent0: (55) {G0,W4,D2,L2,V0,M2} { ! alpha6, alpha2( skol3, skol6 ) }.
% 0.43/1.06 substitution0:
% 0.43/1.06 end
% 0.43/1.06 permutation0:
% 0.43/1.06 0 ==> 1
% 0.43/1.06 1 ==> 0
% 0.43/1.06 end
% 0.43/1.06
% 0.43/1.06 subsumption: (6) {G0,W4,D2,L2,V0,M1} I { ! alpha4( skol3, skol6 ), ! alpha6
% 0.43/1.06 }.
% 0.43/1.06 parent0: (56) {G0,W4,D2,L2,V0,M2} { ! alpha6, ! alpha4( skol3, skol6 ) }.
% 0.43/1.06 substitution0:
% 0.43/1.06 end
% 0.43/1.06 permutation0:
% 0.43/1.06 0 ==> 1
% 0.43/1.06 1 ==> 0
% 0.43/1.06 end
% 0.43/1.06
% 0.43/1.06 subsumption: (7) {G0,W5,D2,L2,V2,M1} I { big_h( X ), ! alpha4( X, Y ) }.
% 0.43/1.06 parent0: (58) {G0,W5,D2,L2,V2,M2} { ! alpha4( X, Y ), big_h( X ) }.
% 0.43/1.06 substitution0:
% 0.43/1.06 X := X
% 0.43/1.06 Y := Y
% 0.43/1.06 end
% 0.43/1.06 permutation0:
% 0.43/1.06 0 ==> 1
% 0.43/1.06 1 ==> 0
% 0.43/1.06 end
% 0.43/1.06
% 0.43/1.06 subsumption: (8) {G0,W5,D2,L2,V2,M1} I { big_j( Y ), ! alpha4( X, Y ) }.
% 0.43/1.06 parent0: (59) {G0,W5,D2,L2,V2,M2} { ! alpha4( X, Y ), big_j( Y ) }.
% 0.43/1.06 substitution0:
% 0.43/1.06 X := X
% 0.43/1.06 Y := Y
% 0.43/1.06 end
% 0.43/1.06 permutation0:
% 0.43/1.06 0 ==> 1
% 0.43/1.06 1 ==> 0
% 0.43/1.06 end
% 0.43/1.06
% 0.43/1.06 subsumption: (9) {G0,W7,D2,L3,V2,M1} I { ! big_h( X ), ! big_j( Y ), alpha4
% 0.43/1.06 ( X, Y ) }.
% 0.43/1.06 parent0: (60) {G0,W7,D2,L3,V2,M3} { ! big_h( X ), ! big_j( Y ), alpha4( X
% 0.43/1.06 , Y ) }.
% 0.43/1.06 substitution0:
% 0.43/1.06 X := X
% 0.43/1.06 Y := Y
% 0.43/1.06 end
% 0.43/1.06 permutation0:
% 0.43/1.06 0 ==> 0
% 0.43/1.06 1 ==> 1
% 0.43/1.06 2 ==> 2
% 0.43/1.06 end
% 0.43/1.06
% 0.43/1.06 subsumption: (10) {G0,W5,D2,L2,V2,M1} I { big_f( X ), ! alpha2( X, Y ) }.
% 0.43/1.06 parent0: (61) {G0,W5,D2,L2,V2,M2} { ! alpha2( X, Y ), big_f( X ) }.
% 0.43/1.06 substitution0:
% 0.43/1.06 X := X
% 0.43/1.06 Y := Y
% 0.43/1.06 end
% 0.43/1.06 permutation0:
% 0.43/1.06 0 ==> 1
% 0.43/1.06 1 ==> 0
% 0.43/1.06 end
% 0.43/1.06
% 0.43/1.06 subsumption: (11) {G0,W5,D2,L2,V2,M1} I { big_g( Y ), ! alpha2( X, Y ) }.
% 0.43/1.06 parent0: (62) {G0,W5,D2,L2,V2,M2} { ! alpha2( X, Y ), big_g( Y ) }.
% 0.43/1.06 substitution0:
% 0.43/1.06 X := X
% 0.43/1.06 Y := Y
% 0.43/1.06 end
% 0.43/1.06 permutation0:
% 0.43/1.06 0 ==> 1
% 0.43/1.06 1 ==> 0
% 0.43/1.06 end
% 0.43/1.06
% 0.43/1.06 subsumption: (12) {G0,W7,D2,L3,V2,M1} I { ! big_f( X ), ! big_g( Y ),
% 0.43/1.06 alpha2( X, Y ) }.
% 0.43/1.06 parent0: (63) {G0,W7,D2,L3,V2,M3} { ! big_f( X ), ! big_g( Y ), alpha2( X
% 0.43/1.06 , Y ) }.
% 0.43/1.06 substitution0:
% 0.43/1.06 X := X
% 0.43/1.06 Y := Y
% 0.43/1.06 end
% 0.43/1.06 permutation0:
% 0.43/1.06 0 ==> 0
% 0.43/1.06 1 ==> 1
% 0.43/1.06 2 ==> 2
% 0.43/1.06 end
% 0.43/1.06
% 0.43/1.06 subsumption: (13) {G0,W2,D1,L2,V0,M1} I { alpha3, ! alpha1 }.
% 0.43/1.06 parent0: (64) {G0,W2,D1,L2,V0,M2} { ! alpha1, alpha3 }.
% 0.43/1.06 substitution0:
% 0.43/1.06 end
% 0.43/1.06 permutation0:
% 0.43/1.06 0 ==> 1
% 0.43/1.06 1 ==> 0
% 0.43/1.06 end
% 0.43/1.06
% 0.43/1.06 subsumption: (14) {G0,W2,D1,L2,V0,M1} I { alpha5, ! alpha1 }.
% 0.43/1.06 parent0: (65) {G0,W2,D1,L2,V0,M2} { ! alpha1, alpha5 }.
% 0.43/1.06 substitution0:
% 0.43/1.06 end
% 0.43/1.06 permutation0:
% 0.43/1.06 0 ==> 1
% 0.43/1.06 1 ==> 0
% 0.43/1.06 end
% 0.43/1.06
% 0.43/1.06 subsumption: (15) {G0,W3,D1,L3,V0,M1} I { ! alpha3, alpha1, ! alpha5 }.
% 0.43/1.06 parent0: (66) {G0,W3,D1,L3,V0,M3} { ! alpha3, ! alpha5, alpha1 }.
% 0.43/1.06 substitution0:
% 0.43/1.06 end
% 0.43/1.06 permutation0:
% 0.43/1.06 0 ==> 0
% 0.43/1.06 1 ==> 2
% 0.43/1.06 2 ==> 1
% 0.43/1.06 end
% 0.43/1.06
% 0.43/1.06 subsumption: (16) {G0,W5,D2,L3,V1,M1} I { ! big_g( X ), big_j( X ), !
% 0.43/1.06 alpha5 }.
% 0.43/1.06 parent0: (67) {G0,W5,D2,L3,V1,M3} { ! alpha5, ! big_g( X ), big_j( X ) }.
% 0.43/1.06 substitution0:
% 0.43/1.06 X := X
% 0.43/1.06 end
% 0.43/1.06 permutation0:
% 0.43/1.06 0 ==> 2
% 0.43/1.06 1 ==> 0
% 0.43/1.06 2 ==> 1
% 0.43/1.06 end
% 0.43/1.06
% 0.43/1.06 subsumption: (17) {G0,W3,D2,L2,V0,M1} I { alpha5, big_g( skol4 ) }.
% 0.43/1.06 parent0: (68) {G0,W3,D2,L2,V0,M2} { big_g( skol4 ), alpha5 }.
% 0.43/1.06 substitution0:
% 0.43/1.06 end
% 0.43/1.06 permutation0:
% 0.43/1.06 0 ==> 1
% 0.43/1.06 1 ==> 0
% 0.43/1.06 end
% 0.43/1.06
% 0.43/1.06 subsumption: (18) {G0,W3,D2,L2,V0,M1} I { alpha5, ! big_j( skol4 ) }.
% 0.43/1.06 parent0: (69) {G0,W3,D2,L2,V0,M2} { ! big_j( skol4 ), alpha5 }.
% 0.43/1.06 substitution0:
% 0.43/1.06 end
% 0.43/1.06 permutation0:
% 0.43/1.06 0 ==> 1
% 0.43/1.06 1 ==> 0
% 0.43/1.06 end
% 0.43/1.06
% 0.43/1.06 subsumption: (19) {G0,W5,D2,L3,V1,M1} I { ! big_f( X ), big_h( X ), !
% 0.43/1.06 alpha3 }.
% 0.43/1.06 parent0: (70) {G0,W5,D2,L3,V1,M3} { ! alpha3, ! big_f( X ), big_h( X ) }.
% 0.43/1.06 substitution0:
% 0.43/1.06 X := X
% 0.43/1.06 end
% 0.43/1.06 permutation0:
% 0.43/1.06 0 ==> 2
% 0.43/1.06 1 ==> 0
% 0.43/1.06 2 ==> 1
% 0.43/1.06 end
% 0.43/1.06
% 0.43/1.06 subsumption: (20) {G0,W3,D2,L2,V0,M1} I { alpha3, big_f( skol5 ) }.
% 0.43/1.06 parent0: (71) {G0,W3,D2,L2,V0,M2} { big_f( skol5 ), alpha3 }.
% 0.43/1.06 substitution0:
% 0.43/1.06 end
% 0.43/1.06 permutation0:
% 0.43/1.06 0 ==> 1
% 0.43/1.06 1 ==> 0
% 0.43/1.06 end
% 0.43/1.06
% 0.43/1.06 subsumption: (21) {G0,W3,D2,L2,V0,M1} I { alpha3, ! big_h( skol5 ) }.
% 0.43/1.06 parent0: (72) {G0,W3,D2,L2,V0,M2} { ! big_h( skol5 ), alpha3 }.
% 0.43/1.06 substitution0:
% 0.43/1.06 end
% 0.43/1.06 permutation0:
% 0.43/1.06 0 ==> 1
% 0.43/1.06 1 ==> 0
% 0.43/1.06 end
% 0.43/1.06
% 0.43/1.06 resolution: (73) {G1,W6,D2,L3,V2,M3} { big_h( X ), alpha6, ! alpha2( X, Y
% 0.43/1.06 ) }.
% 0.43/1.06 parent0[1]: (7) {G0,W5,D2,L2,V2,M1} I { big_h( X ), ! alpha4( X, Y ) }.
% 0.43/1.06 parent1[2]: (2) {G0,W7,D2,L3,V2,M1} I { alpha6, ! alpha2( X, Y ), alpha4( X
% 0.43/1.06 , Y ) }.
% 0.43/1.06 substitution0:
% 0.43/1.06 X := X
% 0.43/1.06 Y := Y
% 0.43/1.06 end
% 0.43/1.06 substitution1:
% 0.43/1.06 X := X
% 0.43/1.06 Y := Y
% 0.43/1.06 end
% 0.43/1.06
% 0.43/1.06 subsumption: (22) {G1,W6,D2,L3,V2,M1} R(7,2) { alpha6, big_h( X ), ! alpha2
% 0.43/1.06 ( X, Y ) }.
% 0.43/1.06 parent0: (73) {G1,W6,D2,L3,V2,M3} { big_h( X ), alpha6, ! alpha2( X, Y )
% 0.43/1.06 }.
% 0.43/1.06 substitution0:
% 0.43/1.06 X := X
% 0.43/1.06 Y := Y
% 0.43/1.06 end
% 0.43/1.06 permutation0:
% 0.43/1.06 0 ==> 1
% 0.43/1.06 1 ==> 0
% 0.43/1.06 2 ==> 2
% 0.43/1.06 end
% 0.43/1.06
% 0.43/1.06 resolution: (74) {G1,W6,D2,L3,V2,M3} { big_j( X ), alpha6, ! alpha2( Y, X
% 0.43/1.06 ) }.
% 0.43/1.06 parent0[1]: (8) {G0,W5,D2,L2,V2,M1} I { big_j( Y ), ! alpha4( X, Y ) }.
% 0.43/1.06 parent1[2]: (2) {G0,W7,D2,L3,V2,M1} I { alpha6, ! alpha2( X, Y ), alpha4( X
% 0.43/1.06 , Y ) }.
% 0.43/1.06 substitution0:
% 0.43/1.06 X := Y
% 0.43/1.06 Y := X
% 0.43/1.06 end
% 0.43/1.06 substitution1:
% 0.43/1.06 X := Y
% 0.43/1.06 Y := X
% 0.43/1.06 end
% 0.43/1.06
% 0.43/1.06 subsumption: (23) {G1,W6,D2,L3,V2,M1} R(8,2) { alpha6, big_j( X ), ! alpha2
% 0.43/1.06 ( Y, X ) }.
% 0.43/1.06 parent0: (74) {G1,W6,D2,L3,V2,M3} { big_j( X ), alpha6, ! alpha2( Y, X )
% 0.43/1.06 }.
% 0.43/1.06 substitution0:
% 0.43/1.06 X := X
% 0.43/1.06 Y := Y
% 0.43/1.06 end
% 0.43/1.06 permutation0:
% 0.43/1.06 0 ==> 1
% 0.43/1.06 1 ==> 0
% 0.43/1.06 2 ==> 2
% 0.43/1.06 end
% 0.43/1.06
% 0.43/1.06 resolution: (75) {G1,W7,D2,L4,V2,M4} { alpha6, big_h( X ), ! big_f( X ), !
% 0.43/1.06 big_g( Y ) }.
% 0.43/1.06 parent0[2]: (22) {G1,W6,D2,L3,V2,M1} R(7,2) { alpha6, big_h( X ), ! alpha2
% 0.43/1.06 ( X, Y ) }.
% 0.43/1.06 parent1[2]: (12) {G0,W7,D2,L3,V2,M1} I { ! big_f( X ), ! big_g( Y ), alpha2
% 0.43/1.06 ( X, Y ) }.
% 0.43/1.06 substitution0:
% 0.43/1.06 X := X
% 0.43/1.06 Y := Y
% 0.43/1.06 end
% 0.43/1.06 substitution1:
% 0.43/1.06 X := X
% 0.43/1.06 Y := Y
% 0.43/1.06 end
% 0.43/1.06
% 0.43/1.06 subsumption: (24) {G2,W7,D2,L4,V2,M1} R(12,22) { ! big_f( X ), alpha6, !
% 0.43/1.06 big_g( Y ), big_h( X ) }.
% 0.43/1.06 parent0: (75) {G1,W7,D2,L4,V2,M4} { alpha6, big_h( X ), ! big_f( X ), !
% 0.43/1.06 big_g( Y ) }.
% 0.43/1.06 substitution0:
% 0.43/1.06 X := X
% 0.43/1.06 Y := Y
% 0.43/1.06 end
% 0.43/1.06 permutation0:
% 0.43/1.06 0 ==> 1
% 0.43/1.06 1 ==> 3
% 0.43/1.06 2 ==> 0
% 0.43/1.06 3 ==> 2
% 0.43/1.06 end
% 0.43/1.06
% 0.43/1.06 resolution: (76) {G1,W7,D2,L4,V2,M4} { alpha6, big_j( X ), ! big_f( Y ), !
% 0.43/1.06 big_g( X ) }.
% 0.43/1.06 parent0[2]: (23) {G1,W6,D2,L3,V2,M1} R(8,2) { alpha6, big_j( X ), ! alpha2
% 0.43/1.06 ( Y, X ) }.
% 0.43/1.06 parent1[2]: (12) {G0,W7,D2,L3,V2,M1} I { ! big_f( X ), ! big_g( Y ), alpha2
% 0.43/1.06 ( X, Y ) }.
% 0.43/1.06 substitution0:
% 0.43/1.06 X := X
% 0.43/1.06 Y := Y
% 0.43/1.06 end
% 0.43/1.06 substitution1:
% 0.43/1.06 X := Y
% 0.43/1.06 Y := X
% 0.43/1.06 end
% 0.43/1.06
% 0.43/1.06 subsumption: (25) {G2,W7,D2,L4,V2,M1} R(12,23) { ! big_f( X ), alpha6, !
% 0.43/1.06 big_g( Y ), big_j( Y ) }.
% 0.43/1.06 parent0: (76) {G1,W7,D2,L4,V2,M4} { alpha6, big_j( X ), ! big_f( Y ), !
% 0.43/1.06 big_g( X ) }.
% 0.43/1.06 substitution0:
% 0.43/1.06 X := Y
% 0.43/1.06 Y := X
% 0.43/1.06 end
% 0.43/1.06 permutation0:
% 0.43/1.06 0 ==> 1
% 0.43/1.06 1 ==> 3
% 0.43/1.06 2 ==> 0
% 0.43/1.06 3 ==> 2
% 0.43/1.06 end
% 0.43/1.06
% 0.43/1.06 resolution: (77) {G1,W6,D2,L4,V1,M4} { alpha3, ! big_f( skol5 ), alpha6, !
% 0.43/1.06 big_g( X ) }.
% 0.43/1.06 parent0[1]: (21) {G0,W3,D2,L2,V0,M1} I { alpha3, ! big_h( skol5 ) }.
% 0.43/1.06 parent1[3]: (24) {G2,W7,D2,L4,V2,M1} R(12,22) { ! big_f( X ), alpha6, !
% 0.43/1.06 big_g( Y ), big_h( X ) }.
% 0.43/1.06 substitution0:
% 0.43/1.06 end
% 0.43/1.06 substitution1:
% 0.43/1.06 X := skol5
% 0.43/1.06 Y := X
% 0.43/1.06 end
% 0.43/1.06
% 0.43/1.06 resolution: (78) {G1,W5,D2,L4,V1,M4} { alpha3, alpha6, ! big_g( X ),
% 0.43/1.06 alpha3 }.
% 0.43/1.06 parent0[1]: (77) {G1,W6,D2,L4,V1,M4} { alpha3, ! big_f( skol5 ), alpha6, !
% 0.43/1.06 big_g( X ) }.
% 0.43/1.06 parent1[1]: (20) {G0,W3,D2,L2,V0,M1} I { alpha3, big_f( skol5 ) }.
% 0.43/1.06 substitution0:
% 0.43/1.06 X := X
% 0.43/1.06 end
% 0.43/1.06 substitution1:
% 0.43/1.06 end
% 0.43/1.06
% 0.43/1.06 factor: (79) {G1,W4,D2,L3,V1,M3} { alpha3, alpha6, ! big_g( X ) }.
% 0.43/1.06 parent0[0, 3]: (78) {G1,W5,D2,L4,V1,M4} { alpha3, alpha6, ! big_g( X ),
% 0.43/1.06 alpha3 }.
% 0.43/1.06 substitution0:
% 0.43/1.06 X := X
% 0.43/1.06 end
% 0.43/1.06
% 0.43/1.06 subsumption: (26) {G3,W4,D2,L3,V1,M1} R(24,21);r(20) { alpha6, alpha3, !
% 0.43/1.06 big_g( X ) }.
% 0.43/1.06 parent0: (79) {G1,W4,D2,L3,V1,M3} { alpha3, alpha6, ! big_g( X ) }.
% 0.43/1.06 substitution0:
% 0.43/1.06 X := X
% 0.43/1.06 end
% 0.43/1.06 permutation0:
% 0.43/1.06 0 ==> 1
% 0.43/1.06 1 ==> 0
% 0.43/1.06 2 ==> 2
% 0.43/1.06 end
% 0.43/1.06
% 0.43/1.06 resolution: (80) {G1,W6,D2,L4,V1,M4} { alpha5, ! big_f( X ), alpha6, !
% 0.43/1.06 big_g( skol4 ) }.
% 0.43/1.06 parent0[1]: (18) {G0,W3,D2,L2,V0,M1} I { alpha5, ! big_j( skol4 ) }.
% 0.43/1.06 parent1[3]: (25) {G2,W7,D2,L4,V2,M1} R(12,23) { ! big_f( X ), alpha6, !
% 0.43/1.06 big_g( Y ), big_j( Y ) }.
% 0.43/1.06 substitution0:
% 0.43/1.06 end
% 0.43/1.06 substitution1:
% 0.43/1.06 X := X
% 0.43/1.06 Y := skol4
% 0.43/1.06 end
% 0.43/1.06
% 0.43/1.06 resolution: (81) {G1,W5,D2,L4,V1,M4} { alpha5, ! big_f( X ), alpha6,
% 0.43/1.06 alpha5 }.
% 0.43/1.06 parent0[3]: (80) {G1,W6,D2,L4,V1,M4} { alpha5, ! big_f( X ), alpha6, !
% 0.43/1.06 big_g( skol4 ) }.
% 0.43/1.06 parent1[1]: (17) {G0,W3,D2,L2,V0,M1} I { alpha5, big_g( skol4 ) }.
% 0.43/1.06 substitution0:
% 0.43/1.06 X := X
% 0.43/1.06 end
% 0.43/1.06 substitution1:
% 0.43/1.06 end
% 0.43/1.06
% 0.43/1.06 factor: (82) {G1,W4,D2,L3,V1,M3} { alpha5, ! big_f( X ), alpha6 }.
% 0.43/1.06 parent0[0, 3]: (81) {G1,W5,D2,L4,V1,M4} { alpha5, ! big_f( X ), alpha6,
% 0.43/1.06 alpha5 }.
% 0.43/1.06 substitution0:
% 0.43/1.06 X := X
% 0.43/1.06 end
% 0.43/1.06
% 0.43/1.06 subsumption: (27) {G3,W4,D2,L3,V1,M1} R(25,18);r(17) { alpha6, alpha5, !
% 0.43/1.06 big_f( X ) }.
% 0.43/1.06 parent0: (82) {G1,W4,D2,L3,V1,M3} { alpha5, ! big_f( X ), alpha6 }.
% 0.43/1.06 substitution0:
% 0.43/1.06 X := X
% 0.43/1.06 end
% 0.43/1.06 permutation0:
% 0.43/1.06 0 ==> 1
% 0.43/1.06 1 ==> 2
% 0.43/1.06 2 ==> 0
% 0.43/1.06 end
% 0.43/1.06
% 0.43/1.06 resolution: (83) {G1,W2,D1,L2,V0,M2} { alpha6, alpha5 }.
% 0.43/1.06 parent0[2]: (27) {G3,W4,D2,L3,V1,M1} R(25,18);r(17) { alpha6, alpha5, !
% 0.43/1.06 big_f( X ) }.
% 0.43/1.06 parent1[0]: (0) {G0,W2,D2,L1,V0,M1} I { big_f( skol1 ) }.
% 0.43/1.06 substitution0:
% 0.43/1.06 X := skol1
% 0.43/1.06 end
% 0.43/1.06 substitution1:
% 0.43/1.06 end
% 0.43/1.06
% 0.43/1.06 subsumption: (29) {G4,W2,D1,L2,V0,M1} R(27,0) { alpha5, alpha6 }.
% 0.43/1.06 parent0: (83) {G1,W2,D1,L2,V0,M2} { alpha6, alpha5 }.
% 0.43/1.06 substitution0:
% 0.43/1.06 end
% 0.43/1.06 permutation0:
% 0.43/1.06 0 ==> 1
% 0.43/1.06 1 ==> 0
% 0.43/1.06 end
% 0.43/1.06
% 0.43/1.06 resolution: (84) {G1,W2,D1,L2,V0,M2} { alpha1, alpha5 }.
% 0.43/1.06 parent0[1]: (4) {G0,W2,D1,L2,V0,M1} I { alpha1, ! alpha6 }.
% 0.43/1.06 parent1[1]: (29) {G4,W2,D1,L2,V0,M1} R(27,0) { alpha5, alpha6 }.
% 0.43/1.06 substitution0:
% 0.43/1.06 end
% 0.43/1.06 substitution1:
% 0.43/1.06 end
% 0.43/1.06
% 0.43/1.06 resolution: (85) {G1,W2,D1,L2,V0,M2} { alpha5, alpha5 }.
% 0.43/1.06 parent0[1]: (14) {G0,W2,D1,L2,V0,M1} I { alpha5, ! alpha1 }.
% 0.43/1.06 parent1[0]: (84) {G1,W2,D1,L2,V0,M2} { alpha1, alpha5 }.
% 0.43/1.06 substitution0:
% 0.43/1.06 end
% 0.43/1.06 substitution1:
% 0.43/1.06 end
% 0.43/1.06
% 0.43/1.06 factor: (86) {G1,W1,D1,L1,V0,M1} { alpha5 }.
% 0.43/1.06 parent0[0, 1]: (85) {G1,W2,D1,L2,V0,M2} { alpha5, alpha5 }.
% 0.43/1.06 substitution0:
% 0.43/1.06 end
% 0.43/1.06
% 0.43/1.06 subsumption: (32) {G5,W1,D1,L1,V0,M1} R(29,4);r(14) { alpha5 }.
% 0.43/1.06 parent0: (86) {G1,W1,D1,L1,V0,M1} { alpha5 }.
% 0.43/1.06 substitution0:
% 0.43/1.06 end
% 0.43/1.06 permutation0:
% 0.43/1.06 0 ==> 0
% 0.43/1.06 end
% 0.43/1.06
% 0.43/1.06 resolution: (87) {G1,W4,D2,L2,V1,M2} { ! big_g( X ), big_j( X ) }.
% 0.43/1.06 parent0[2]: (16) {G0,W5,D2,L3,V1,M1} I { ! big_g( X ), big_j( X ), ! alpha5
% 0.43/1.06 }.
% 0.43/1.06 parent1[0]: (32) {G5,W1,D1,L1,V0,M1} R(29,4);r(14) { alpha5 }.
% 0.43/1.06 substitution0:
% 0.43/1.06 X := X
% 0.43/1.06 end
% 0.43/1.06 substitution1:
% 0.43/1.06 end
% 0.43/1.06
% 0.43/1.06 subsumption: (33) {G6,W4,D2,L2,V1,M1} R(32,16) { ! big_g( X ), big_j( X )
% 0.43/1.06 }.
% 0.43/1.06 parent0: (87) {G1,W4,D2,L2,V1,M2} { ! big_g( X ), big_j( X ) }.
% 0.43/1.06 substitution0:
% 0.43/1.06 X := X
% 0.43/1.06 end
% 0.43/1.06 permutation0:
% 0.43/1.06 0 ==> 0
% 0.43/1.06 1 ==> 1
% 0.43/1.06 end
% 0.43/1.06
% 0.43/1.06 resolution: (88) {G1,W2,D1,L2,V0,M2} { ! alpha3, alpha1 }.
% 0.43/1.06 parent0[2]: (15) {G0,W3,D1,L3,V0,M1} I { ! alpha3, alpha1, ! alpha5 }.
% 0.43/1.06 parent1[0]: (32) {G5,W1,D1,L1,V0,M1} R(29,4);r(14) { alpha5 }.
% 0.43/1.06 substitution0:
% 0.43/1.06 end
% 0.43/1.06 substitution1:
% 0.43/1.06 end
% 0.43/1.06
% 0.43/1.06 subsumption: (34) {G6,W2,D1,L2,V0,M1} R(32,15) { alpha1, ! alpha3 }.
% 0.43/1.06 parent0: (88) {G1,W2,D1,L2,V0,M2} { ! alpha3, alpha1 }.
% 0.43/1.06 substitution0:
% 0.43/1.06 end
% 0.43/1.06 permutation0:
% 0.43/1.06 0 ==> 1
% 0.43/1.06 1 ==> 0
% 0.43/1.06 end
% 0.43/1.06
% 0.43/1.06 resolution: (89) {G1,W2,D1,L2,V0,M2} { alpha6, alpha3 }.
% 0.43/1.06 parent0[2]: (26) {G3,W4,D2,L3,V1,M1} R(24,21);r(20) { alpha6, alpha3, !
% 0.43/1.06 big_g( X ) }.
% 0.43/1.06 parent1[0]: (1) {G0,W2,D2,L1,V0,M1} I { big_g( skol2 ) }.
% 0.43/1.06 substitution0:
% 0.43/1.06 X := skol2
% 0.43/1.06 end
% 0.43/1.06 substitution1:
% 0.43/1.06 end
% 0.43/1.06
% 0.43/1.06 subsumption: (35) {G4,W2,D1,L2,V0,M1} R(26,1) { alpha3, alpha6 }.
% 0.43/1.06 parent0: (89) {G1,W2,D1,L2,V0,M2} { alpha6, alpha3 }.
% 0.43/1.06 substitution0:
% 0.43/1.06 end
% 0.43/1.06 permutation0:
% 0.43/1.06 0 ==> 1
% 0.43/1.06 1 ==> 0
% 0.43/1.06 end
% 0.43/1.06
% 0.43/1.06 resolution: (90) {G1,W2,D1,L2,V0,M2} { alpha1, alpha3 }.
% 0.43/1.06 parent0[1]: (4) {G0,W2,D1,L2,V0,M1} I { alpha1, ! alpha6 }.
% 0.43/1.06 parent1[1]: (35) {G4,W2,D1,L2,V0,M1} R(26,1) { alpha3, alpha6 }.
% 0.43/1.06 substitution0:
% 0.43/1.06 end
% 0.43/1.06 substitution1:
% 0.43/1.06 end
% 0.43/1.06
% 0.43/1.06 resolution: (91) {G2,W2,D1,L2,V0,M2} { alpha1, alpha1 }.
% 0.43/1.06 parent0[1]: (34) {G6,W2,D1,L2,V0,M1} R(32,15) { alpha1, ! alpha3 }.
% 0.43/1.06 parent1[1]: (90) {G1,W2,D1,L2,V0,M2} { alpha1, alpha3 }.
% 0.43/1.06 substitution0:
% 0.43/1.06 end
% 0.43/1.06 substitution1:
% 0.43/1.06 end
% 0.43/1.06
% 0.43/1.06 factor: (92) {G2,W1,D1,L1,V0,M1} { alpha1 }.
% 0.43/1.06 parent0[0, 1]: (91) {G2,W2,D1,L2,V0,M2} { alpha1, alpha1 }.
% 0.43/1.06 substitution0:
% 0.43/1.06 end
% 0.43/1.06
% 0.43/1.06 subsumption: (38) {G7,W1,D1,L1,V0,M1} R(35,4);r(34) { alpha1 }.
% 0.43/1.06 parent0: (92) {G2,W1,D1,L1,V0,M1} { alpha1 }.
% 0.43/1.06 substitution0:
% 0.43/1.06 end
% 0.43/1.06 permutation0:
% 0.43/1.06 0 ==> 0
% 0.43/1.06 end
% 0.43/1.06
% 0.43/1.06 resolution: (93) {G1,W1,D1,L1,V0,M1} { alpha6 }.
% 0.43/1.06 parent0[1]: (3) {G0,W2,D1,L2,V0,M1} I { alpha6, ! alpha1 }.
% 0.43/1.06 parent1[0]: (38) {G7,W1,D1,L1,V0,M1} R(35,4);r(34) { alpha1 }.
% 0.43/1.06 substitution0:
% 0.43/1.06 end
% 0.43/1.06 substitution1:
% 0.43/1.06 end
% 0.43/1.06
% 0.43/1.06 subsumption: (39) {G8,W1,D1,L1,V0,M1} R(38,3) { alpha6 }.
% 0.43/1.06 parent0: (93) {G1,W1,D1,L1,V0,M1} { alpha6 }.
% 0.43/1.06 substitution0:
% 0.43/1.06 end
% 0.43/1.06 permutation0:
% 0.43/1.06 0 ==> 0
% 0.43/1.06 end
% 0.43/1.06
% 0.43/1.06 resolution: (94) {G1,W1,D1,L1,V0,M1} { alpha3 }.
% 0.43/1.06 parent0[1]: (13) {G0,W2,D1,L2,V0,M1} I { alpha3, ! alpha1 }.
% 0.43/1.06 parent1[0]: (38) {G7,W1,D1,L1,V0,M1} R(35,4);r(34) { alpha1 }.
% 0.43/1.06 substitution0:
% 0.43/1.06 end
% 0.43/1.06 substitution1:
% 0.43/1.06 end
% 0.43/1.06
% 0.43/1.06 subsumption: (40) {G8,W1,D1,L1,V0,M1} R(38,13) { alpha3 }.
% 0.43/1.06 parent0: (94) {G1,W1,D1,L1,V0,M1} { alpha3 }.
% 0.43/1.06 substitution0:
% 0.43/1.06 end
% 0.43/1.06 permutation0:
% 0.43/1.06 0 ==> 0
% 0.43/1.06 end
% 0.43/1.06
% 0.43/1.06 resolution: (95) {G1,W3,D2,L1,V0,M1} { alpha2( skol3, skol6 ) }.
% 0.43/1.06 parent0[1]: (5) {G0,W4,D2,L2,V0,M1} I { alpha2( skol3, skol6 ), ! alpha6
% 0.43/1.06 }.
% 0.43/1.06 parent1[0]: (39) {G8,W1,D1,L1,V0,M1} R(38,3) { alpha6 }.
% 0.43/1.06 substitution0:
% 0.43/1.06 end
% 0.43/1.06 substitution1:
% 0.43/1.06 end
% 0.43/1.06
% 0.43/1.06 subsumption: (41) {G9,W3,D2,L1,V0,M1} R(39,5) { alpha2( skol3, skol6 ) }.
% 0.43/1.06 parent0: (95) {G1,W3,D2,L1,V0,M1} { alpha2( skol3, skol6 ) }.
% 0.43/1.06 substitution0:
% 0.43/1.06 end
% 0.43/1.06 permutation0:
% 0.43/1.06 0 ==> 0
% 0.43/1.06 end
% 0.43/1.06
% 0.43/1.06 resolution: (96) {G1,W3,D2,L1,V0,M1} { ! alpha4( skol3, skol6 ) }.
% 0.43/1.06 parent0[1]: (6) {G0,W4,D2,L2,V0,M1} I { ! alpha4( skol3, skol6 ), ! alpha6
% 0.43/1.06 }.
% 0.43/1.06 parent1[0]: (39) {G8,W1,D1,L1,V0,M1} R(38,3) { alpha6 }.
% 0.43/1.06 substitution0:
% 0.43/1.06 end
% 0.43/1.06 substitution1:
% 0.43/1.06 end
% 0.43/1.06
% 0.43/1.06 subsumption: (42) {G9,W3,D2,L1,V0,M1} R(39,6) { ! alpha4( skol3, skol6 )
% 0.43/1.06 }.
% 0.43/1.06 parent0: (96) {G1,W3,D2,L1,V0,M1} { ! alpha4( skol3, skol6 ) }.
% 0.43/1.06 substitution0:
% 0.43/1.06 end
% 0.43/1.06 permutation0:
% 0.43/1.06 0 ==> 0
% 0.43/1.06 end
% 0.43/1.06
% 0.43/1.06 resolution: (97) {G1,W4,D2,L2,V1,M2} { ! big_f( X ), big_h( X ) }.
% 0.43/1.06 parent0[2]: (19) {G0,W5,D2,L3,V1,M1} I { ! big_f( X ), big_h( X ), ! alpha3
% 0.43/1.06 }.
% 0.43/1.06 parent1[0]: (40) {G8,W1,D1,L1,V0,M1} R(38,13) { alpha3 }.
% 0.43/1.06 substitution0:
% 0.43/1.06 X := X
% 0.43/1.06 end
% 0.43/1.06 substitution1:
% 0.43/1.06 end
% 0.43/1.06
% 0.43/1.06 subsumption: (43) {G9,W4,D2,L2,V1,M1} R(40,19) { ! big_f( X ), big_h( X )
% 0.43/1.06 }.
% 0.43/1.06 parent0: (97) {G1,W4,D2,L2,V1,M2} { ! big_f( X ), big_h( X ) }.
% 0.43/1.06 substitution0:
% 0.43/1.06 X := X
% 0.43/1.06 end
% 0.43/1.06 permutation0:
% 0.43/1.06 0 ==> 0
% 0.43/1.06 1 ==> 1
% 0.43/1.06 end
% 0.43/1.06
% 0.43/1.06 resolution: (98) {G1,W2,D2,L1,V0,M1} { big_f( skol3 ) }.
% 0.43/1.06 parent0[1]: (10) {G0,W5,D2,L2,V2,M1} I { big_f( X ), ! alpha2( X, Y ) }.
% 0.43/1.06 parent1[0]: (41) {G9,W3,D2,L1,V0,M1} R(39,5) { alpha2( skol3, skol6 ) }.
% 0.43/1.06 substitution0:
% 0.43/1.06 X := skol3
% 0.43/1.06 Y := skol6
% 0.43/1.06 end
% 0.43/1.06 substitution1:
% 0.43/1.06 end
% 0.43/1.06
% 0.43/1.06 subsumption: (44) {G10,W2,D2,L1,V0,M1} R(41,10) { big_f( skol3 ) }.
% 0.43/1.06 parent0: (98) {G1,W2,D2,L1,V0,M1} { big_f( skol3 ) }.
% 0.43/1.06 substitution0:
% 0.43/1.06 end
% 0.43/1.06 permutation0:
% 0.43/1.06 0 ==> 0
% 0.43/1.06 end
% 0.43/1.06
% 0.43/1.06 resolution: (99) {G1,W2,D2,L1,V0,M1} { big_g( skol6 ) }.
% 0.43/1.06 parent0[1]: (11) {G0,W5,D2,L2,V2,M1} I { big_g( Y ), ! alpha2( X, Y ) }.
% 0.43/1.06 parent1[0]: (41) {G9,W3,D2,L1,V0,M1} R(39,5) { alpha2( skol3, skol6 ) }.
% 0.43/1.06 substitution0:
% 0.43/1.06 X := skol3
% 0.43/1.06 Y := skol6
% 0.43/1.06 end
% 0.43/1.06 substitution1:
% 0.43/1.06 end
% 0.43/1.06
% 0.43/1.06 subsumption: (45) {G10,W2,D2,L1,V0,M1} R(41,11) { big_g( skol6 ) }.
% 0.43/1.06 parent0: (99) {G1,W2,D2,L1,V0,M1} { big_g( skol6 ) }.
% 0.43/1.06 substitution0:
% 0.43/1.06 end
% 0.43/1.06 permutation0:
% 0.43/1.06 0 ==> 0
% 0.43/1.06 end
% 0.43/1.06
% 0.43/1.06 resolution: (100) {G1,W4,D2,L2,V0,M2} { ! big_h( skol3 ), ! big_j( skol6 )
% 0.43/1.06 }.
% 0.43/1.06 parent0[0]: (42) {G9,W3,D2,L1,V0,M1} R(39,6) { ! alpha4( skol3, skol6 ) }.
% 0.43/1.06 parent1[2]: (9) {G0,W7,D2,L3,V2,M1} I { ! big_h( X ), ! big_j( Y ), alpha4
% 0.43/1.06 ( X, Y ) }.
% 0.43/1.06 substitution0:
% 0.43/1.06 end
% 0.43/1.06 substitution1:
% 0.43/1.06 X := skol3
% 0.43/1.06 Y := skol6
% 0.43/1.06 end
% 0.43/1.06
% 0.43/1.06 subsumption: (46) {G10,W4,D2,L2,V0,M1} R(42,9) { ! big_h( skol3 ), ! big_j
% 0.43/1.06 ( skol6 ) }.
% 0.43/1.06 parent0: (100) {G1,W4,D2,L2,V0,M2} { ! big_h( skol3 ), ! big_j( skol6 )
% 0.43/1.06 }.
% 0.43/1.06 substitution0:
% 0.43/1.06 end
% 0.43/1.06 permutation0:
% 0.43/1.06 0 ==> 0
% 0.43/1.06 1 ==> 1
% 0.43/1.06 end
% 0.43/1.06
% 0.43/1.06 resolution: (101) {G7,W4,D2,L2,V0,M2} { ! big_h( skol3 ), ! big_g( skol6 )
% 0.43/1.06 }.
% 0.43/1.06 parent0[1]: (46) {G10,W4,D2,L2,V0,M1} R(42,9) { ! big_h( skol3 ), ! big_j(
% 0.43/1.06 skol6 ) }.
% 0.43/1.06 parent1[1]: (33) {G6,W4,D2,L2,V1,M1} R(32,16) { ! big_g( X ), big_j( X )
% 0.43/1.06 }.
% 0.43/1.06 substitution0:
% 0.43/1.06 end
% 0.43/1.06 substitution1:
% 0.43/1.06 X := skol6
% 0.43/1.06 end
% 0.43/1.06
% 0.43/1.06 resolution: (102) {G8,W2,D2,L1,V0,M1} { ! big_h( skol3 ) }.
% 0.43/1.06 parent0[1]: (101) {G7,W4,D2,L2,V0,M2} { ! big_h( skol3 ), ! big_g( skol6 )
% 0.43/1.06 }.
% 0.43/1.06 parent1[0]: (45) {G10,W2,D2,L1,V0,M1} R(41,11) { big_g( skol6 ) }.
% 0.43/1.06 substitution0:
% 0.43/1.06 end
% 0.43/1.06 substitution1:
% 0.43/1.06 end
% 0.43/1.06
% 0.43/1.06 subsumption: (47) {G11,W2,D2,L1,V0,M1} R(46,33);r(45) { ! big_h( skol3 )
% 0.43/1.06 }.
% 0.43/1.06 parent0: (102) {G8,W2,D2,L1,V0,M1} { ! big_h( skol3 ) }.
% 0.43/1.06 substitution0:
% 0.43/1.06 end
% 0.43/1.06 permutation0:
% 0.43/1.06 0 ==> 0
% 0.43/1.06 end
% 0.43/1.06
% 0.43/1.06 resolution: (103) {G10,W2,D2,L1,V0,M1} { ! big_f( skol3 ) }.
% 0.43/1.06 parent0[0]: (47) {G11,W2,D2,L1,V0,M1} R(46,33);r(45) { ! big_h( skol3 ) }.
% 0.43/1.06 parent1[1]: (43) {G9,W4,D2,L2,V1,M1} R(40,19) { ! big_f( X ), big_h( X )
% 0.43/1.06 }.
% 0.43/1.06 substitution0:
% 0.43/1.06 end
% 0.43/1.06 substitution1:
% 0.43/1.06 X := skol3
% 0.43/1.06 end
% 0.43/1.06
% 0.43/1.06 resolution: (104) {G11,W0,D0,L0,V0,M0} { }.
% 0.43/1.06 parent0[0]: (103) {G10,W2,D2,L1,V0,M1} { ! big_f( skol3 ) }.
% 0.43/1.06 parent1[0]: (44) {G10,W2,D2,L1,V0,M1} R(41,10) { big_f( skol3 ) }.
% 0.43/1.06 substitution0:
% 0.43/1.06 end
% 0.43/1.06 substitution1:
% 0.43/1.06 end
% 0.43/1.06
% 0.43/1.06 subsumption: (48) {G12,W0,D0,L0,V0,M0} R(47,43);r(44) { }.
% 0.43/1.06 parent0: (104) {G11,W0,D0,L0,V0,M0} { }.
% 0.43/1.06 substitution0:
% 0.43/1.06 end
% 0.43/1.06 permutation0:
% 0.43/1.06 end
% 0.43/1.06
% 0.43/1.06 Proof check complete!
% 0.43/1.06
% 0.43/1.06 Memory use:
% 0.43/1.06
% 0.43/1.06 space for terms: 450
% 0.43/1.06 space for clauses: 2137
% 0.43/1.06
% 0.43/1.06
% 0.43/1.06 clauses generated: 66
% 0.43/1.06 clauses kept: 49
% 0.43/1.06 clauses selected: 43
% 0.43/1.06 clauses deleted: 2
% 0.43/1.06 clauses inuse deleted: 0
% 0.43/1.06
% 0.43/1.06 subsentry: 15
% 0.43/1.06 literals s-matched: 15
% 0.43/1.06 literals matched: 15
% 0.43/1.06 full subsumption: 0
% 0.43/1.06
% 0.43/1.06 checksum: 145952538
% 0.43/1.06
% 0.43/1.06
% 0.43/1.06 Bliksem ended
%------------------------------------------------------------------------------