TSTP Solution File: SYN067+1 by Bliksem---1.12
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- Process Solution
%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : SYN067+1 : TPTP v8.1.0. Released v2.0.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n009.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 02:47:21 EDT 2022
% Result : Theorem 0.74s 1.15s
% Output : Refutation 0.74s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.14 % Problem : SYN067+1 : TPTP v8.1.0. Released v2.0.0.
% 0.07/0.14 % Command : bliksem %s
% 0.14/0.36 % Computer : n009.cluster.edu
% 0.14/0.36 % Model : x86_64 x86_64
% 0.14/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36 % Memory : 8042.1875MB
% 0.14/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36 % CPULimit : 300
% 0.14/0.36 % DateTime : Mon Jul 11 14:46:07 EDT 2022
% 0.14/0.36 % CPUTime :
% 0.74/1.15 *** allocated 10000 integers for termspace/termends
% 0.74/1.15 *** allocated 10000 integers for clauses
% 0.74/1.15 *** allocated 10000 integers for justifications
% 0.74/1.15 Bliksem 1.12
% 0.74/1.15
% 0.74/1.15
% 0.74/1.15 Automatic Strategy Selection
% 0.74/1.15
% 0.74/1.15
% 0.74/1.15 Clauses:
% 0.74/1.15
% 0.74/1.15 { alpha16, alpha2( X ) }.
% 0.74/1.15 { alpha16, alpha4( X ) }.
% 0.74/1.15 { alpha16, ! alpha1 }.
% 0.74/1.15 { ! alpha16, alpha1 }.
% 0.74/1.15 { ! alpha16, ! alpha2( skol1 ), ! alpha4( skol1 ) }.
% 0.74/1.15 { ! alpha1, alpha2( X ), alpha16 }.
% 0.74/1.15 { ! alpha1, alpha4( X ), alpha16 }.
% 0.74/1.15 { ! alpha4( X ), ! big_p( a ), alpha8( X ) }.
% 0.74/1.15 { big_p( a ), alpha4( X ) }.
% 0.74/1.15 { ! alpha8( X ), alpha4( X ) }.
% 0.74/1.15 { ! alpha8( X ), alpha12( X ), alpha14( X ) }.
% 0.74/1.15 { ! alpha12( X ), alpha8( X ) }.
% 0.74/1.15 { ! alpha14( X ), alpha8( X ) }.
% 0.74/1.15 { ! alpha14( X ), big_p( skol2( Y ) ) }.
% 0.74/1.15 { ! alpha14( X ), alpha15( X, skol2( X ) ) }.
% 0.74/1.15 { ! big_p( Y ), ! alpha15( X, Y ), alpha14( X ) }.
% 0.74/1.15 { ! alpha15( X, Y ), big_r( skol3( Z, Y ), Y ) }.
% 0.74/1.15 { ! alpha15( X, Y ), big_r( X, skol3( X, Y ) ) }.
% 0.74/1.15 { ! big_r( X, Z ), ! big_r( Z, Y ), alpha15( X, Y ) }.
% 0.74/1.15 { ! alpha12( X ), ! big_p( Y ), ! big_r( X, Y ) }.
% 0.74/1.15 { big_p( skol4( Y ) ), alpha12( X ) }.
% 0.74/1.15 { big_r( X, skol4( X ) ), alpha12( X ) }.
% 0.74/1.15 { ! alpha2( X ), ! big_p( a ), alpha5( X ) }.
% 0.74/1.15 { big_p( a ), alpha2( X ) }.
% 0.74/1.15 { ! alpha5( X ), alpha2( X ) }.
% 0.74/1.15 { ! alpha5( X ), big_p( X ), alpha9( X ) }.
% 0.74/1.15 { ! big_p( X ), alpha5( X ) }.
% 0.74/1.15 { ! alpha9( X ), alpha5( X ) }.
% 0.74/1.15 { ! alpha9( X ), big_p( skol5( Y ) ) }.
% 0.74/1.15 { ! alpha9( X ), alpha13( X, skol5( X ) ) }.
% 0.74/1.15 { ! big_p( Y ), ! alpha13( X, Y ), alpha9( X ) }.
% 0.74/1.15 { ! alpha13( X, Y ), big_r( skol6( Z, Y ), Y ) }.
% 0.74/1.15 { ! alpha13( X, Y ), big_r( X, skol6( X, Y ) ) }.
% 0.74/1.15 { ! big_r( X, Z ), ! big_r( Z, Y ), alpha13( X, Y ) }.
% 0.74/1.15 { ! alpha1, ! alpha3( X ), alpha6( X ) }.
% 0.74/1.15 { alpha3( skol7 ), alpha1 }.
% 0.74/1.15 { ! alpha6( skol7 ), alpha1 }.
% 0.74/1.15 { ! alpha6( X ), big_p( skol8( Y ) ) }.
% 0.74/1.15 { ! alpha6( X ), alpha10( X, skol8( X ) ) }.
% 0.74/1.15 { ! big_p( Y ), ! alpha10( X, Y ), alpha6( X ) }.
% 0.74/1.15 { ! alpha10( X, Y ), big_r( skol9( Z, Y ), Y ) }.
% 0.74/1.15 { ! alpha10( X, Y ), big_r( X, skol9( X, Y ) ) }.
% 0.74/1.15 { ! big_r( X, Z ), ! big_r( Z, Y ), alpha10( X, Y ) }.
% 0.74/1.15 { ! alpha3( X ), big_p( a ) }.
% 0.74/1.15 { ! alpha3( X ), alpha7( X ) }.
% 0.74/1.15 { ! big_p( a ), ! alpha7( X ), alpha3( X ) }.
% 0.74/1.15 { ! alpha7( X ), ! big_p( X ), alpha11( X ) }.
% 0.74/1.15 { big_p( X ), alpha7( X ) }.
% 0.74/1.15 { ! alpha11( X ), alpha7( X ) }.
% 0.74/1.15 { ! alpha11( X ), big_p( skol10( Y ) ) }.
% 0.74/1.15 { ! alpha11( X ), big_r( X, skol10( X ) ) }.
% 0.74/1.15 { ! big_p( Y ), ! big_r( X, Y ), alpha11( X ) }.
% 0.74/1.15
% 0.74/1.15 percentage equality = 0.000000, percentage horn = 0.800000
% 0.74/1.15 This a non-horn, non-equality problem
% 0.74/1.15
% 0.74/1.15
% 0.74/1.15 Options Used:
% 0.74/1.15
% 0.74/1.15 useres = 1
% 0.74/1.15 useparamod = 0
% 0.74/1.15 useeqrefl = 0
% 0.74/1.15 useeqfact = 0
% 0.74/1.15 usefactor = 1
% 0.74/1.15 usesimpsplitting = 0
% 0.74/1.15 usesimpdemod = 0
% 0.74/1.15 usesimpres = 3
% 0.74/1.15
% 0.74/1.15 resimpinuse = 1000
% 0.74/1.15 resimpclauses = 20000
% 0.74/1.15 substype = standard
% 0.74/1.15 backwardsubs = 1
% 0.74/1.15 selectoldest = 5
% 0.74/1.15
% 0.74/1.15 litorderings [0] = split
% 0.74/1.15 litorderings [1] = liftord
% 0.74/1.15
% 0.74/1.15 termordering = none
% 0.74/1.15
% 0.74/1.15 litapriori = 1
% 0.74/1.15 termapriori = 0
% 0.74/1.15 litaposteriori = 0
% 0.74/1.15 termaposteriori = 0
% 0.74/1.15 demodaposteriori = 0
% 0.74/1.15 ordereqreflfact = 0
% 0.74/1.15
% 0.74/1.15 litselect = none
% 0.74/1.15
% 0.74/1.15 maxweight = 15
% 0.74/1.15 maxdepth = 30000
% 0.74/1.15 maxlength = 115
% 0.74/1.15 maxnrvars = 195
% 0.74/1.15 excuselevel = 1
% 0.74/1.15 increasemaxweight = 1
% 0.74/1.15
% 0.74/1.15 maxselected = 10000000
% 0.74/1.15 maxnrclauses = 10000000
% 0.74/1.15
% 0.74/1.15 showgenerated = 0
% 0.74/1.15 showkept = 0
% 0.74/1.15 showselected = 0
% 0.74/1.15 showdeleted = 0
% 0.74/1.15 showresimp = 1
% 0.74/1.15 showstatus = 2000
% 0.74/1.15
% 0.74/1.15 prologoutput = 0
% 0.74/1.15 nrgoals = 5000000
% 0.74/1.15 totalproof = 1
% 0.74/1.15
% 0.74/1.15 Symbols occurring in the translation:
% 0.74/1.15
% 0.74/1.15 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 0.74/1.15 . [1, 2] (w:1, o:43, a:1, s:1, b:0),
% 0.74/1.15 ! [4, 1] (w:0, o:21, a:1, s:1, b:0),
% 0.74/1.15 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.74/1.15 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.74/1.15 a [36, 0] (w:1, o:10, a:1, s:1, b:0),
% 0.74/1.15 big_p [37, 1] (w:1, o:37, a:1, s:1, b:0),
% 0.74/1.15 big_r [39, 2] (w:1, o:70, a:1, s:1, b:0),
% 0.74/1.15 alpha1 [48, 0] (w:1, o:17, a:1, s:1, b:0),
% 0.74/1.15 alpha2 [49, 1] (w:1, o:29, a:1, s:1, b:0),
% 0.74/1.15 alpha3 [50, 1] (w:1, o:30, a:1, s:1, b:0),
% 0.74/1.15 alpha4 [51, 1] (w:1, o:31, a:1, s:1, b:0),
% 0.74/1.15 alpha5 [52, 1] (w:1, o:32, a:1, s:1, b:0),
% 0.74/1.15 alpha6 [53, 1] (w:1, o:33, a:1, s:1, b:0),
% 0.74/1.15 alpha7 [54, 1] (w:1, o:34, a:1, s:1, b:0),
% 0.74/1.15 alpha8 [55, 1] (w:1, o:35, a:1, s:1, b:0),
% 0.74/1.15 alpha9 [56, 1] (w:1, o:36, a:1, s:1, b:0),
% 0.74/1.15 alpha10 [57, 2] (w:1, o:67, a:1, s:1, b:0),
% 0.74/1.15 alpha11 [58, 1] (w:1, o:26, a:1, s:1, b:0),
% 0.74/1.15 alpha12 [59, 1] (w:1, o:27, a:1, s:1, b:0),
% 0.74/1.15 alpha13 [60, 2] (w:1, o:68, a:1, s:1, b:0),
% 0.74/1.15 alpha14 [61, 1] (w:1, o:28, a:1, s:1, b:0),
% 0.74/1.15 alpha15 [62, 2] (w:1, o:69, a:1, s:1, b:0),
% 0.74/1.15 alpha16 [63, 0] (w:1, o:18, a:1, s:1, b:0),
% 0.74/1.15 skol1 [64, 0] (w:1, o:19, a:1, s:1, b:0),
% 0.74/1.15 skol2 [65, 1] (w:1, o:39, a:1, s:1, b:0),
% 0.74/1.15 skol3 [66, 2] (w:1, o:71, a:1, s:1, b:0),
% 0.74/1.15 skol4 [67, 1] (w:1, o:40, a:1, s:1, b:0),
% 0.74/1.15 skol5 [68, 1] (w:1, o:41, a:1, s:1, b:0),
% 0.74/1.15 skol6 [69, 2] (w:1, o:72, a:1, s:1, b:0),
% 0.74/1.15 skol7 [70, 0] (w:1, o:20, a:1, s:1, b:0),
% 0.74/1.15 skol8 [71, 1] (w:1, o:42, a:1, s:1, b:0),
% 0.74/1.15 skol9 [72, 2] (w:1, o:73, a:1, s:1, b:0),
% 0.74/1.15 skol10 [73, 1] (w:1, o:38, a:1, s:1, b:0).
% 0.74/1.15
% 0.74/1.15
% 0.74/1.15 Starting Search:
% 0.74/1.15
% 0.74/1.15 *** allocated 15000 integers for clauses
% 0.74/1.15 *** allocated 22500 integers for clauses
% 0.74/1.15 *** allocated 33750 integers for clauses
% 0.74/1.15
% 0.74/1.15 Bliksems!, er is een bewijs:
% 0.74/1.15 % SZS status Theorem
% 0.74/1.15 % SZS output start Refutation
% 0.74/1.15
% 0.74/1.15 (0) {G0,W3,D2,L2,V1,M1} I { alpha16, alpha2( X ) }.
% 0.74/1.15 (1) {G0,W3,D2,L2,V1,M1} I { alpha16, alpha4( X ) }.
% 0.74/1.15 (2) {G0,W2,D1,L2,V0,M1} I { alpha16, ! alpha1 }.
% 0.74/1.15 (3) {G0,W2,D1,L2,V0,M1} I { alpha1, ! alpha16 }.
% 0.74/1.15 (4) {G0,W5,D2,L3,V0,M1} I { ! alpha2( skol1 ), ! alpha4( skol1 ), ! alpha16
% 0.74/1.15 }.
% 0.74/1.15 (5) {G0,W6,D2,L3,V1,M1} I { ! alpha4( X ), alpha8( X ), ! big_p( a ) }.
% 0.74/1.15 (6) {G0,W4,D2,L2,V1,M1} I { alpha4( X ), big_p( a ) }.
% 0.74/1.15 (7) {G0,W4,D2,L2,V1,M1} I { alpha4( X ), ! alpha8( X ) }.
% 0.74/1.15 (8) {G0,W6,D2,L3,V1,M1} I { alpha12( X ), alpha14( X ), ! alpha8( X ) }.
% 0.74/1.15 (9) {G0,W4,D2,L2,V1,M1} I { ! alpha12( X ), alpha8( X ) }.
% 0.74/1.15 (10) {G0,W4,D2,L2,V1,M1} I { ! alpha14( X ), alpha8( X ) }.
% 0.74/1.15 (11) {G0,W5,D3,L2,V2,M1} I { ! alpha14( X ), big_p( skol2( Y ) ) }.
% 0.74/1.15 (12) {G0,W6,D3,L2,V1,M1} I { ! alpha14( X ), alpha15( X, skol2( X ) ) }.
% 0.74/1.15 (13) {G0,W7,D2,L3,V2,M1} I { ! big_p( Y ), alpha14( X ), ! alpha15( X, Y )
% 0.74/1.15 }.
% 0.74/1.15 (14) {G0,W8,D3,L2,V3,M1} I { ! alpha15( X, Y ), big_r( skol3( Z, Y ), Y )
% 0.74/1.15 }.
% 0.74/1.15 (15) {G0,W8,D3,L2,V2,M1} I { ! alpha15( X, Y ), big_r( X, skol3( X, Y ) )
% 0.74/1.15 }.
% 0.74/1.15 (16) {G0,W9,D2,L3,V3,M2} I { alpha15( X, Y ), ! big_r( X, Z ), ! big_r( Z,
% 0.74/1.15 Y ) }.
% 0.74/1.15 (17) {G0,W7,D2,L3,V2,M1} I { ! alpha12( X ), ! big_p( Y ), ! big_r( X, Y )
% 0.74/1.15 }.
% 0.74/1.15 (18) {G0,W5,D3,L2,V2,M1} I { alpha12( X ), big_p( skol4( Y ) ) }.
% 0.74/1.15 (19) {G0,W6,D3,L2,V1,M1} I { alpha12( X ), big_r( X, skol4( X ) ) }.
% 0.74/1.15 (20) {G0,W6,D2,L3,V1,M1} I { ! alpha2( X ), alpha5( X ), ! big_p( a ) }.
% 0.74/1.15 (21) {G0,W4,D2,L2,V1,M1} I { alpha2( X ), big_p( a ) }.
% 0.74/1.15 (22) {G0,W4,D2,L2,V1,M1} I { alpha2( X ), ! alpha5( X ) }.
% 0.74/1.15 (23) {G0,W6,D2,L3,V1,M1} I { ! alpha5( X ), alpha9( X ), big_p( X ) }.
% 0.74/1.15 (24) {G0,W4,D2,L2,V1,M1} I { alpha5( X ), ! big_p( X ) }.
% 0.74/1.15 (25) {G0,W4,D2,L2,V1,M1} I { alpha5( X ), ! alpha9( X ) }.
% 0.74/1.15 (26) {G0,W5,D3,L2,V2,M1} I { ! alpha9( X ), big_p( skol5( Y ) ) }.
% 0.74/1.15 (27) {G0,W6,D3,L2,V1,M1} I { ! alpha9( X ), alpha13( X, skol5( X ) ) }.
% 0.74/1.15 (28) {G0,W7,D2,L3,V2,M1} I { ! big_p( Y ), alpha9( X ), ! alpha13( X, Y )
% 0.74/1.15 }.
% 0.74/1.15 (29) {G0,W8,D3,L2,V3,M1} I { ! alpha13( X, Y ), big_r( skol6( Z, Y ), Y )
% 0.74/1.15 }.
% 0.74/1.15 (30) {G0,W8,D3,L2,V2,M1} I { ! alpha13( X, Y ), big_r( X, skol6( X, Y ) )
% 0.74/1.15 }.
% 0.74/1.15 (31) {G0,W9,D2,L3,V3,M2} I { alpha13( X, Y ), ! big_r( X, Z ), ! big_r( Z,
% 0.74/1.15 Y ) }.
% 0.74/1.15 (32) {G0,W5,D2,L3,V1,M1} I { ! alpha3( X ), alpha6( X ), ! alpha1 }.
% 0.74/1.15 (33) {G0,W3,D2,L2,V0,M1} I { alpha1, alpha3( skol7 ) }.
% 0.74/1.15 (34) {G0,W3,D2,L2,V0,M1} I { alpha1, ! alpha6( skol7 ) }.
% 0.74/1.15 (35) {G0,W5,D3,L2,V2,M1} I { ! alpha6( X ), big_p( skol8( Y ) ) }.
% 0.74/1.15 (36) {G0,W6,D3,L2,V1,M1} I { ! alpha6( X ), alpha10( X, skol8( X ) ) }.
% 0.74/1.15 (37) {G0,W7,D2,L3,V2,M1} I { ! big_p( Y ), alpha6( X ), ! alpha10( X, Y )
% 0.74/1.15 }.
% 0.74/1.15 (38) {G0,W8,D3,L2,V3,M1} I { ! alpha10( X, Y ), big_r( skol9( Z, Y ), Y )
% 0.74/1.15 }.
% 0.74/1.15 (39) {G0,W8,D3,L2,V2,M1} I { ! alpha10( X, Y ), big_r( X, skol9( X, Y ) )
% 0.74/1.15 }.
% 0.74/1.15 (40) {G0,W9,D2,L3,V3,M2} I { alpha10( X, Y ), ! big_r( X, Z ), ! big_r( Z,
% 0.74/1.15 Y ) }.
% 0.74/1.15 (41) {G0,W4,D2,L2,V1,M1} I { ! alpha3( X ), big_p( a ) }.
% 0.74/1.15 (42) {G0,W4,D2,L2,V1,M1} I { ! alpha3( X ), alpha7( X ) }.
% 0.74/1.15 (43) {G0,W6,D2,L3,V1,M1} I { ! alpha7( X ), alpha3( X ), ! big_p( a ) }.
% 0.74/1.15 (44) {G0,W6,D2,L3,V1,M1} I { ! alpha7( X ), alpha11( X ), ! big_p( X ) }.
% 0.74/1.15 (45) {G0,W4,D2,L2,V1,M1} I { alpha7( X ), big_p( X ) }.
% 0.74/1.15 (46) {G0,W4,D2,L2,V1,M1} I { ! alpha11( X ), alpha7( X ) }.
% 0.74/1.15 (47) {G0,W5,D3,L2,V2,M1} I { ! alpha11( X ), big_p( skol10( Y ) ) }.
% 0.74/1.15 (48) {G0,W6,D3,L2,V1,M1} I { ! alpha11( X ), big_r( X, skol10( X ) ) }.
% 0.74/1.15 (49) {G0,W7,D2,L3,V2,M1} I { ! big_p( Y ), alpha11( X ), ! big_r( X, Y )
% 0.74/1.15 }.
% 0.74/1.15 (54) {G1,W6,D2,L3,V2,M1} R(41,5) { ! alpha3( X ), ! alpha4( Y ), alpha8( Y
% 0.74/1.15 ) }.
% 0.74/1.15 (56) {G1,W4,D2,L2,V1,M1} R(24,45) { alpha5( X ), alpha7( X ) }.
% 0.74/1.15 (66) {G1,W4,D2,L2,V1,M1} R(10,7) { ! alpha14( X ), alpha4( X ) }.
% 0.74/1.15 (67) {G1,W4,D2,L2,V1,M1} R(9,7) { ! alpha12( X ), alpha4( X ) }.
% 0.74/1.15 (78) {G2,W8,D2,L4,V2,M1} R(54,8) { ! alpha3( X ), alpha12( Y ), alpha14( Y
% 0.74/1.15 ), ! alpha4( Y ) }.
% 0.74/1.15 (98) {G1,W6,D2,L3,V2,M1} R(43,21) { alpha3( X ), alpha2( Y ), ! alpha7( X )
% 0.74/1.15 }.
% 0.74/1.15 (99) {G1,W6,D2,L3,V2,M1} R(43,6) { alpha3( X ), alpha4( Y ), ! alpha7( X )
% 0.74/1.15 }.
% 0.74/1.15 (102) {G2,W6,D2,L3,V2,M1} R(98,56) { alpha2( Y ), alpha3( X ), alpha5( X )
% 0.74/1.15 }.
% 0.74/1.15 (104) {G3,W6,D2,L3,V2,M1} R(102,22) { alpha2( X ), alpha2( Y ), alpha3( Y )
% 0.74/1.15 }.
% 0.74/1.15 (105) {G4,W4,D2,L2,V1,M1} F(104) { alpha2( X ), alpha3( X ) }.
% 0.74/1.15 (109) {G2,W6,D2,L3,V2,M1} R(99,46) { alpha3( X ), ! alpha11( X ), alpha4( Y
% 0.74/1.15 ) }.
% 0.74/1.15 (112) {G1,W6,D2,L3,V2,M1} R(20,41) { ! alpha2( X ), ! alpha3( Y ), alpha5(
% 0.74/1.15 X ) }.
% 0.74/1.15 (116) {G1,W8,D2,L4,V1,M1} R(23,44) { ! alpha5( X ), ! alpha7( X ), alpha11
% 0.74/1.15 ( X ), alpha9( X ) }.
% 0.74/1.15 (123) {G1,W7,D3,L3,V1,M1} R(48,17) { ! alpha11( X ), ! alpha12( X ), !
% 0.74/1.15 big_p( skol10( X ) ) }.
% 0.74/1.15 (126) {G1,W7,D3,L3,V1,M1} R(49,19) { alpha11( X ), alpha12( X ), ! big_p(
% 0.74/1.15 skol4( X ) ) }.
% 0.74/1.15 (132) {G1,W11,D3,L3,V4,M1} R(29,16) { ! alpha13( X, Y ), alpha15( Z, Y ), !
% 0.74/1.15 big_r( Z, skol6( T, Y ) ) }.
% 0.74/1.15 (134) {G2,W6,D2,L3,V2,M2} R(126,18) { alpha11( X ), alpha12( Y ), alpha12(
% 0.74/1.15 X ) }.
% 0.74/1.15 (135) {G3,W4,D2,L2,V1,M1} F(134) { alpha11( X ), alpha12( X ) }.
% 0.74/1.15 (141) {G2,W6,D2,L3,V2,M1} R(123,47) { ! alpha11( X ), ! alpha11( Y ), !
% 0.74/1.15 alpha12( X ) }.
% 0.74/1.15 (142) {G3,W4,D2,L2,V1,M1} F(141) { ! alpha11( X ), ! alpha12( X ) }.
% 0.74/1.15 (143) {G3,W7,D2,L4,V2,M1} R(78,1) { alpha12( Y ), alpha14( Y ), alpha16, !
% 0.74/1.15 alpha3( X ) }.
% 0.74/1.15 (152) {G1,W11,D3,L3,V3,M1} R(31,15) { alpha13( X, Y ), ! alpha15( X, Z ), !
% 0.74/1.15 big_r( skol3( X, Z ), Y ) }.
% 0.74/1.15 (157) {G4,W5,D2,L3,V1,M1} R(143,33);r(3) { alpha12( X ), alpha1, alpha14( X
% 0.74/1.15 ) }.
% 0.74/1.15 (159) {G1,W11,D3,L3,V4,M1} R(38,31) { ! alpha10( X, Y ), alpha13( Z, Y ), !
% 0.74/1.15 big_r( Z, skol9( T, Y ) ) }.
% 0.74/1.15 (180) {G1,W11,D3,L3,V3,M1} R(40,30) { alpha10( X, Y ), ! alpha13( X, Z ), !
% 0.74/1.15 big_r( skol6( X, Z ), Y ) }.
% 0.74/1.15 (316) {G2,W9,D2,L3,V3,M1} R(132,30) { ! alpha13( X, Y ), ! alpha13( Z, Y )
% 0.74/1.15 , alpha15( Z, Y ) }.
% 0.74/1.15 (317) {G3,W6,D2,L2,V2,M1} F(316) { ! alpha13( X, Y ), alpha15( X, Y ) }.
% 0.74/1.15 (322) {G4,W7,D2,L3,V2,M1} R(317,13) { ! big_p( Y ), alpha14( X ), ! alpha13
% 0.74/1.15 ( X, Y ) }.
% 0.74/1.15 (323) {G5,W7,D3,L3,V1,M1} R(322,27) { alpha14( X ), ! alpha9( X ), ! big_p
% 0.74/1.15 ( skol5( X ) ) }.
% 0.74/1.15 (325) {G6,W6,D2,L3,V2,M2} R(323,26) { alpha14( X ), ! alpha9( Y ), ! alpha9
% 0.74/1.15 ( X ) }.
% 0.74/1.15 (326) {G7,W4,D2,L2,V1,M1} F(325) { alpha14( X ), ! alpha9( X ) }.
% 0.74/1.15 (328) {G8,W8,D2,L4,V1,M1} R(326,116) { alpha14( X ), ! alpha5( X ), alpha11
% 0.74/1.15 ( X ), ! alpha7( X ) }.
% 0.74/1.15 (335) {G9,W8,D2,L4,V1,M1} R(328,42) { alpha14( X ), alpha11( X ), ! alpha3
% 0.74/1.15 ( X ), ! alpha5( X ) }.
% 0.74/1.15 (336) {G10,W10,D2,L5,V2,M2} R(335,112) { alpha11( X ), alpha14( X ), !
% 0.74/1.15 alpha2( X ), ! alpha3( Y ), ! alpha3( X ) }.
% 0.74/1.15 (337) {G11,W8,D2,L4,V1,M1} F(336) { alpha11( X ), alpha14( X ), ! alpha2( X
% 0.74/1.15 ), ! alpha3( X ) }.
% 0.74/1.15 (340) {G12,W7,D2,L4,V0,M1} R(337,33) { alpha11( skol7 ), alpha14( skol7 ),
% 0.74/1.15 alpha1, ! alpha2( skol7 ) }.
% 0.74/1.15 (341) {G13,W5,D2,L3,V0,M1} R(340,0);r(2) { alpha11( skol7 ), alpha16,
% 0.74/1.15 alpha14( skol7 ) }.
% 0.74/1.15 (397) {G2,W9,D2,L3,V3,M2} R(152,14) { alpha13( X, Y ), ! alpha15( Z, Y ), !
% 0.74/1.15 alpha15( X, Y ) }.
% 0.74/1.15 (398) {G3,W6,D2,L2,V2,M1} F(397) { alpha13( X, Y ), ! alpha15( X, Y ) }.
% 0.74/1.15 (399) {G4,W6,D3,L2,V1,M1} R(398,12) { ! alpha14( X ), alpha13( X, skol2( X
% 0.74/1.15 ) ) }.
% 0.74/1.15 (404) {G5,W7,D3,L3,V1,M1} R(399,28) { ! alpha14( X ), alpha9( X ), ! big_p
% 0.74/1.15 ( skol2( X ) ) }.
% 0.74/1.15 (406) {G6,W6,D2,L3,V2,M1} R(404,11) { ! alpha14( X ), ! alpha14( Y ),
% 0.74/1.15 alpha9( X ) }.
% 0.74/1.15 (407) {G7,W4,D2,L2,V1,M1} F(406) { ! alpha14( X ), alpha9( X ) }.
% 0.74/1.15 (454) {G2,W9,D2,L3,V3,M1} R(159,39) { ! alpha10( X, Y ), ! alpha10( Z, Y )
% 0.74/1.15 , alpha13( Z, Y ) }.
% 0.74/1.15 (455) {G3,W6,D2,L2,V2,M1} F(454) { ! alpha10( X, Y ), alpha13( X, Y ) }.
% 0.74/1.15 (465) {G4,W7,D2,L3,V2,M1} R(455,28) { ! big_p( Y ), alpha9( X ), ! alpha10
% 0.74/1.15 ( X, Y ) }.
% 0.74/1.15 (467) {G5,W7,D3,L3,V1,M1} R(465,36) { alpha9( X ), ! alpha6( X ), ! big_p(
% 0.74/1.15 skol8( X ) ) }.
% 0.74/1.15 (469) {G6,W6,D2,L3,V2,M1} R(467,35) { ! alpha6( X ), ! alpha6( Y ), alpha9
% 0.74/1.15 ( X ) }.
% 0.74/1.15 (470) {G7,W4,D2,L2,V1,M1} F(469) { ! alpha6( X ), alpha9( X ) }.
% 0.74/1.15 (476) {G8,W4,D2,L2,V1,M1} R(470,326) { alpha14( X ), ! alpha6( X ) }.
% 0.74/1.15 (479) {G8,W4,D2,L2,V1,M1} R(470,25) { alpha5( X ), ! alpha6( X ) }.
% 0.74/1.15 (595) {G2,W9,D2,L3,V3,M2} R(180,29) { alpha10( X, Y ), ! alpha13( Z, Y ), !
% 0.74/1.15 alpha13( X, Y ) }.
% 0.74/1.15 (597) {G3,W6,D2,L2,V2,M1} F(595) { alpha10( X, Y ), ! alpha13( X, Y ) }.
% 0.74/1.15 (599) {G4,W6,D3,L2,V1,M1} R(597,27) { ! alpha9( X ), alpha10( X, skol5( X )
% 0.74/1.15 ) }.
% 0.74/1.15 (609) {G5,W7,D3,L3,V1,M1} R(599,37) { ! alpha9( X ), alpha6( X ), ! big_p(
% 0.74/1.15 skol5( X ) ) }.
% 0.74/1.15 (611) {G6,W6,D2,L3,V2,M2} R(609,26) { alpha6( X ), ! alpha9( Y ), ! alpha9
% 0.74/1.15 ( X ) }.
% 0.74/1.15 (612) {G7,W4,D2,L2,V1,M1} F(611) { alpha6( X ), ! alpha9( X ) }.
% 0.74/1.15 (617) {G8,W4,D2,L2,V1,M1} R(612,407) { ! alpha14( X ), alpha6( X ) }.
% 0.74/1.15 (624) {G9,W3,D2,L2,V0,M1} R(617,34) { alpha1, ! alpha14( skol7 ) }.
% 0.74/1.15 (625) {G14,W3,D2,L2,V0,M1} R(624,341);r(2) { alpha16, alpha11( skol7 ) }.
% 0.74/1.15 (626) {G10,W3,D2,L2,V0,M1} R(624,157);f { alpha1, alpha12( skol7 ) }.
% 0.74/1.15 (630) {G11,W3,D2,L2,V0,M1} R(626,142) { alpha1, ! alpha11( skol7 ) }.
% 0.74/1.15 (631) {G15,W1,D1,L1,V0,M1} R(630,625);r(2) { alpha16 }.
% 0.74/1.15 (632) {G16,W4,D2,L2,V0,M1} R(631,4) { ! alpha2( skol1 ), ! alpha4( skol1 )
% 0.74/1.15 }.
% 0.74/1.15 (633) {G16,W1,D1,L1,V0,M1} R(631,3) { alpha1 }.
% 0.74/1.15 (634) {G17,W4,D2,L2,V1,M1} R(633,32) { ! alpha3( X ), alpha6( X ) }.
% 0.74/1.15 (638) {G18,W4,D2,L2,V1,M1} R(634,479) { ! alpha3( X ), alpha5( X ) }.
% 0.74/1.15 (639) {G18,W4,D2,L2,V1,M1} R(634,476) { alpha14( X ), ! alpha3( X ) }.
% 0.74/1.15 (645) {G19,W2,D2,L1,V1,M1} R(638,22);r(105) { alpha2( X ) }.
% 0.74/1.15 (650) {G20,W2,D2,L1,V0,M1} S(632);r(645) { ! alpha4( skol1 ) }.
% 0.74/1.15 (652) {G21,W4,D2,L2,V1,M1} R(650,109) { ! alpha11( X ), alpha3( X ) }.
% 0.74/1.15 (653) {G21,W2,D2,L1,V0,M1} R(650,67) { ! alpha12( skol1 ) }.
% 0.74/1.15 (654) {G21,W2,D2,L1,V0,M1} R(650,66) { ! alpha14( skol1 ) }.
% 0.74/1.15 (655) {G22,W2,D2,L1,V0,M1} R(653,135) { alpha11( skol1 ) }.
% 0.74/1.15 (658) {G22,W4,D2,L2,V1,M1} R(652,639) { ! alpha11( X ), alpha14( X ) }.
% 0.74/1.15 (659) {G23,W0,D0,L0,V0,M0} R(658,654);r(655) { }.
% 0.74/1.15
% 0.74/1.15
% 0.74/1.15 % SZS output end Refutation
% 0.74/1.15 found a proof!
% 0.74/1.15
% 0.74/1.15
% 0.74/1.15 Unprocessed initial clauses:
% 0.74/1.15
% 0.74/1.15 (661) {G0,W3,D2,L2,V1,M2} { alpha16, alpha2( X ) }.
% 0.74/1.15 (662) {G0,W3,D2,L2,V1,M2} { alpha16, alpha4( X ) }.
% 0.74/1.15 (663) {G0,W2,D1,L2,V0,M2} { alpha16, ! alpha1 }.
% 0.74/1.15 (664) {G0,W2,D1,L2,V0,M2} { ! alpha16, alpha1 }.
% 0.74/1.15 (665) {G0,W5,D2,L3,V0,M3} { ! alpha16, ! alpha2( skol1 ), ! alpha4( skol1
% 0.74/1.15 ) }.
% 0.74/1.15 (666) {G0,W4,D2,L3,V1,M3} { ! alpha1, alpha2( X ), alpha16 }.
% 0.74/1.15 (667) {G0,W4,D2,L3,V1,M3} { ! alpha1, alpha4( X ), alpha16 }.
% 0.74/1.15 (668) {G0,W6,D2,L3,V1,M3} { ! alpha4( X ), ! big_p( a ), alpha8( X ) }.
% 0.74/1.15 (669) {G0,W4,D2,L2,V1,M2} { big_p( a ), alpha4( X ) }.
% 0.74/1.15 (670) {G0,W4,D2,L2,V1,M2} { ! alpha8( X ), alpha4( X ) }.
% 0.74/1.15 (671) {G0,W6,D2,L3,V1,M3} { ! alpha8( X ), alpha12( X ), alpha14( X ) }.
% 0.74/1.15 (672) {G0,W4,D2,L2,V1,M2} { ! alpha12( X ), alpha8( X ) }.
% 0.74/1.15 (673) {G0,W4,D2,L2,V1,M2} { ! alpha14( X ), alpha8( X ) }.
% 0.74/1.15 (674) {G0,W5,D3,L2,V2,M2} { ! alpha14( X ), big_p( skol2( Y ) ) }.
% 0.74/1.15 (675) {G0,W6,D3,L2,V1,M2} { ! alpha14( X ), alpha15( X, skol2( X ) ) }.
% 0.74/1.15 (676) {G0,W7,D2,L3,V2,M3} { ! big_p( Y ), ! alpha15( X, Y ), alpha14( X )
% 0.74/1.15 }.
% 0.74/1.15 (677) {G0,W8,D3,L2,V3,M2} { ! alpha15( X, Y ), big_r( skol3( Z, Y ), Y )
% 0.74/1.15 }.
% 0.74/1.15 (678) {G0,W8,D3,L2,V2,M2} { ! alpha15( X, Y ), big_r( X, skol3( X, Y ) )
% 0.74/1.15 }.
% 0.74/1.15 (679) {G0,W9,D2,L3,V3,M3} { ! big_r( X, Z ), ! big_r( Z, Y ), alpha15( X,
% 0.74/1.15 Y ) }.
% 0.74/1.15 (680) {G0,W7,D2,L3,V2,M3} { ! alpha12( X ), ! big_p( Y ), ! big_r( X, Y )
% 0.74/1.15 }.
% 0.74/1.15 (681) {G0,W5,D3,L2,V2,M2} { big_p( skol4( Y ) ), alpha12( X ) }.
% 0.74/1.15 (682) {G0,W6,D3,L2,V1,M2} { big_r( X, skol4( X ) ), alpha12( X ) }.
% 0.74/1.15 (683) {G0,W6,D2,L3,V1,M3} { ! alpha2( X ), ! big_p( a ), alpha5( X ) }.
% 0.74/1.15 (684) {G0,W4,D2,L2,V1,M2} { big_p( a ), alpha2( X ) }.
% 0.74/1.15 (685) {G0,W4,D2,L2,V1,M2} { ! alpha5( X ), alpha2( X ) }.
% 0.74/1.15 (686) {G0,W6,D2,L3,V1,M3} { ! alpha5( X ), big_p( X ), alpha9( X ) }.
% 0.74/1.15 (687) {G0,W4,D2,L2,V1,M2} { ! big_p( X ), alpha5( X ) }.
% 0.74/1.15 (688) {G0,W4,D2,L2,V1,M2} { ! alpha9( X ), alpha5( X ) }.
% 0.74/1.15 (689) {G0,W5,D3,L2,V2,M2} { ! alpha9( X ), big_p( skol5( Y ) ) }.
% 0.74/1.15 (690) {G0,W6,D3,L2,V1,M2} { ! alpha9( X ), alpha13( X, skol5( X ) ) }.
% 0.74/1.15 (691) {G0,W7,D2,L3,V2,M3} { ! big_p( Y ), ! alpha13( X, Y ), alpha9( X )
% 0.74/1.15 }.
% 0.74/1.15 (692) {G0,W8,D3,L2,V3,M2} { ! alpha13( X, Y ), big_r( skol6( Z, Y ), Y )
% 0.74/1.15 }.
% 0.74/1.15 (693) {G0,W8,D3,L2,V2,M2} { ! alpha13( X, Y ), big_r( X, skol6( X, Y ) )
% 0.74/1.15 }.
% 0.74/1.15 (694) {G0,W9,D2,L3,V3,M3} { ! big_r( X, Z ), ! big_r( Z, Y ), alpha13( X,
% 0.74/1.15 Y ) }.
% 0.74/1.15 (695) {G0,W5,D2,L3,V1,M3} { ! alpha1, ! alpha3( X ), alpha6( X ) }.
% 0.74/1.15 (696) {G0,W3,D2,L2,V0,M2} { alpha3( skol7 ), alpha1 }.
% 0.74/1.15 (697) {G0,W3,D2,L2,V0,M2} { ! alpha6( skol7 ), alpha1 }.
% 0.74/1.15 (698) {G0,W5,D3,L2,V2,M2} { ! alpha6( X ), big_p( skol8( Y ) ) }.
% 0.74/1.15 (699) {G0,W6,D3,L2,V1,M2} { ! alpha6( X ), alpha10( X, skol8( X ) ) }.
% 0.74/1.15 (700) {G0,W7,D2,L3,V2,M3} { ! big_p( Y ), ! alpha10( X, Y ), alpha6( X )
% 0.74/1.15 }.
% 0.74/1.15 (701) {G0,W8,D3,L2,V3,M2} { ! alpha10( X, Y ), big_r( skol9( Z, Y ), Y )
% 0.74/1.15 }.
% 0.74/1.15 (702) {G0,W8,D3,L2,V2,M2} { ! alpha10( X, Y ), big_r( X, skol9( X, Y ) )
% 0.74/1.15 }.
% 0.74/1.15 (703) {G0,W9,D2,L3,V3,M3} { ! big_r( X, Z ), ! big_r( Z, Y ), alpha10( X,
% 0.74/1.15 Y ) }.
% 0.74/1.15 (704) {G0,W4,D2,L2,V1,M2} { ! alpha3( X ), big_p( a ) }.
% 0.74/1.15 (705) {G0,W4,D2,L2,V1,M2} { ! alpha3( X ), alpha7( X ) }.
% 0.74/1.15 (706) {G0,W6,D2,L3,V1,M3} { ! big_p( a ), ! alpha7( X ), alpha3( X ) }.
% 0.74/1.15 (707) {G0,W6,D2,L3,V1,M3} { ! alpha7( X ), ! big_p( X ), alpha11( X ) }.
% 0.74/1.15 (708) {G0,W4,D2,L2,V1,M2} { big_p( X ), alpha7( X ) }.
% 0.74/1.15 (709) {G0,W4,D2,L2,V1,M2} { ! alpha11( X ), alpha7( X ) }.
% 0.74/1.15 (710) {G0,W5,D3,L2,V2,M2} { ! alpha11( X ), big_p( skol10( Y ) ) }.
% 0.74/1.15 (711) {G0,W6,D3,L2,V1,M2} { ! alpha11( X ), big_r( X, skol10( X ) ) }.
% 0.74/1.15 (712) {G0,W7,D2,L3,V2,M3} { ! big_p( Y ), ! big_r( X, Y ), alpha11( X )
% 0.74/1.15 }.
% 0.74/1.15
% 0.74/1.15
% 0.74/1.15 Total Proof:
% 0.74/1.15
% 0.74/1.15 subsumption: (0) {G0,W3,D2,L2,V1,M1} I { alpha16, alpha2( X ) }.
% 0.74/1.15 parent0: (661) {G0,W3,D2,L2,V1,M2} { alpha16, alpha2( X ) }.
% 0.74/1.15 substitution0:
% 0.74/1.15 X := X
% 0.74/1.15 end
% 0.74/1.15 permutation0:
% 0.74/1.15 0 ==> 0
% 0.74/1.15 1 ==> 1
% 0.74/1.15 end
% 0.74/1.15
% 0.74/1.15 subsumption: (1) {G0,W3,D2,L2,V1,M1} I { alpha16, alpha4( X ) }.
% 0.74/1.15 parent0: (662) {G0,W3,D2,L2,V1,M2} { alpha16, alpha4( X ) }.
% 0.74/1.15 substitution0:
% 0.74/1.15 X := X
% 0.74/1.15 end
% 0.74/1.15 permutation0:
% 0.74/1.15 0 ==> 0
% 0.74/1.15 1 ==> 1
% 0.74/1.15 end
% 0.74/1.15
% 0.74/1.15 subsumption: (2) {G0,W2,D1,L2,V0,M1} I { alpha16, ! alpha1 }.
% 0.74/1.15 parent0: (663) {G0,W2,D1,L2,V0,M2} { alpha16, ! alpha1 }.
% 0.74/1.15 substitution0:
% 0.74/1.15 end
% 0.74/1.15 permutation0:
% 0.74/1.15 0 ==> 0
% 0.74/1.15 1 ==> 1
% 0.74/1.15 end
% 0.74/1.15
% 0.74/1.15 subsumption: (3) {G0,W2,D1,L2,V0,M1} I { alpha1, ! alpha16 }.
% 0.74/1.15 parent0: (664) {G0,W2,D1,L2,V0,M2} { ! alpha16, alpha1 }.
% 0.74/1.15 substitution0:
% 0.74/1.15 end
% 0.74/1.15 permutation0:
% 0.74/1.15 0 ==> 1
% 0.74/1.15 1 ==> 0
% 0.74/1.15 end
% 0.74/1.15
% 0.74/1.15 subsumption: (4) {G0,W5,D2,L3,V0,M1} I { ! alpha2( skol1 ), ! alpha4( skol1
% 0.74/1.15 ), ! alpha16 }.
% 0.74/1.15 parent0: (665) {G0,W5,D2,L3,V0,M3} { ! alpha16, ! alpha2( skol1 ), !
% 0.74/1.15 alpha4( skol1 ) }.
% 0.74/1.15 substitution0:
% 0.74/1.15 end
% 0.74/1.15 permutation0:
% 0.74/1.15 0 ==> 2
% 0.74/1.15 1 ==> 0
% 0.74/1.15 2 ==> 1
% 0.74/1.15 end
% 0.74/1.15
% 0.74/1.15 subsumption: (5) {G0,W6,D2,L3,V1,M1} I { ! alpha4( X ), alpha8( X ), !
% 0.74/1.15 big_p( a ) }.
% 0.74/1.15 parent0: (668) {G0,W6,D2,L3,V1,M3} { ! alpha4( X ), ! big_p( a ), alpha8(
% 0.74/1.15 X ) }.
% 0.74/1.15 substitution0:
% 0.74/1.15 X := X
% 0.74/1.15 end
% 0.74/1.15 permutation0:
% 0.74/1.15 0 ==> 0
% 0.74/1.15 1 ==> 2
% 0.74/1.15 2 ==> 1
% 0.74/1.15 end
% 0.74/1.15
% 0.74/1.15 subsumption: (6) {G0,W4,D2,L2,V1,M1} I { alpha4( X ), big_p( a ) }.
% 0.74/1.15 parent0: (669) {G0,W4,D2,L2,V1,M2} { big_p( a ), alpha4( X ) }.
% 0.74/1.15 substitution0:
% 0.74/1.15 X := X
% 0.74/1.15 end
% 0.74/1.15 permutation0:
% 0.74/1.15 0 ==> 1
% 0.74/1.15 1 ==> 0
% 0.74/1.15 end
% 0.74/1.15
% 0.74/1.15 subsumption: (7) {G0,W4,D2,L2,V1,M1} I { alpha4( X ), ! alpha8( X ) }.
% 0.74/1.15 parent0: (670) {G0,W4,D2,L2,V1,M2} { ! alpha8( X ), alpha4( X ) }.
% 0.74/1.15 substitution0:
% 0.74/1.15 X := X
% 0.74/1.15 end
% 0.74/1.15 permutation0:
% 0.74/1.15 0 ==> 1
% 0.74/1.15 1 ==> 0
% 0.74/1.15 end
% 0.74/1.15
% 0.74/1.15 subsumption: (8) {G0,W6,D2,L3,V1,M1} I { alpha12( X ), alpha14( X ), !
% 0.74/1.15 alpha8( X ) }.
% 0.74/1.15 parent0: (671) {G0,W6,D2,L3,V1,M3} { ! alpha8( X ), alpha12( X ), alpha14
% 0.74/1.15 ( X ) }.
% 0.74/1.15 substitution0:
% 0.74/1.15 X := X
% 0.74/1.15 end
% 0.74/1.15 permutation0:
% 0.74/1.15 0 ==> 2
% 0.74/1.15 1 ==> 0
% 0.74/1.15 2 ==> 1
% 0.74/1.15 end
% 0.74/1.15
% 0.74/1.15 subsumption: (9) {G0,W4,D2,L2,V1,M1} I { ! alpha12( X ), alpha8( X ) }.
% 0.74/1.15 parent0: (672) {G0,W4,D2,L2,V1,M2} { ! alpha12( X ), alpha8( X ) }.
% 0.74/1.15 substitution0:
% 0.74/1.15 X := X
% 0.74/1.15 end
% 0.74/1.15 permutation0:
% 0.74/1.15 0 ==> 0
% 0.74/1.15 1 ==> 1
% 0.74/1.15 end
% 0.74/1.15
% 0.74/1.15 subsumption: (10) {G0,W4,D2,L2,V1,M1} I { ! alpha14( X ), alpha8( X ) }.
% 0.74/1.15 parent0: (673) {G0,W4,D2,L2,V1,M2} { ! alpha14( X ), alpha8( X ) }.
% 0.74/1.15 substitution0:
% 0.74/1.15 X := X
% 0.74/1.15 end
% 0.74/1.15 permutation0:
% 0.74/1.15 0 ==> 0
% 0.74/1.15 1 ==> 1
% 0.74/1.15 end
% 0.74/1.15
% 0.74/1.15 subsumption: (11) {G0,W5,D3,L2,V2,M1} I { ! alpha14( X ), big_p( skol2( Y )
% 0.74/1.15 ) }.
% 0.74/1.15 parent0: (674) {G0,W5,D3,L2,V2,M2} { ! alpha14( X ), big_p( skol2( Y ) )
% 0.74/1.15 }.
% 0.74/1.15 substitution0:
% 0.74/1.15 X := X
% 0.74/1.15 Y := Y
% 0.74/1.15 end
% 0.74/1.15 permutation0:
% 0.74/1.15 0 ==> 0
% 0.74/1.15 1 ==> 1
% 0.74/1.15 end
% 0.74/1.15
% 0.74/1.15 subsumption: (12) {G0,W6,D3,L2,V1,M1} I { ! alpha14( X ), alpha15( X, skol2
% 0.74/1.15 ( X ) ) }.
% 0.74/1.15 parent0: (675) {G0,W6,D3,L2,V1,M2} { ! alpha14( X ), alpha15( X, skol2( X
% 0.74/1.15 ) ) }.
% 0.74/1.15 substitution0:
% 0.74/1.15 X := X
% 0.74/1.15 end
% 0.74/1.15 permutation0:
% 0.74/1.15 0 ==> 0
% 0.74/1.15 1 ==> 1
% 0.74/1.15 end
% 0.74/1.15
% 0.74/1.15 subsumption: (13) {G0,W7,D2,L3,V2,M1} I { ! big_p( Y ), alpha14( X ), !
% 0.74/1.15 alpha15( X, Y ) }.
% 0.74/1.15 parent0: (676) {G0,W7,D2,L3,V2,M3} { ! big_p( Y ), ! alpha15( X, Y ),
% 0.74/1.15 alpha14( X ) }.
% 0.74/1.15 substitution0:
% 0.74/1.15 X := X
% 0.74/1.15 Y := Y
% 0.74/1.15 end
% 0.74/1.15 permutation0:
% 0.74/1.15 0 ==> 0
% 0.74/1.15 1 ==> 2
% 0.74/1.15 2 ==> 1
% 0.74/1.15 end
% 0.74/1.15
% 0.74/1.15 subsumption: (14) {G0,W8,D3,L2,V3,M1} I { ! alpha15( X, Y ), big_r( skol3(
% 0.74/1.15 Z, Y ), Y ) }.
% 0.74/1.15 parent0: (677) {G0,W8,D3,L2,V3,M2} { ! alpha15( X, Y ), big_r( skol3( Z, Y
% 0.74/1.15 ), Y ) }.
% 0.74/1.15 substitution0:
% 0.74/1.15 X := X
% 0.74/1.15 Y := Y
% 0.74/1.15 Z := Z
% 0.74/1.15 end
% 0.74/1.15 permutation0:
% 0.74/1.15 0 ==> 0
% 0.74/1.15 1 ==> 1
% 0.74/1.15 end
% 0.74/1.15
% 0.74/1.15 subsumption: (15) {G0,W8,D3,L2,V2,M1} I { ! alpha15( X, Y ), big_r( X,
% 0.74/1.15 skol3( X, Y ) ) }.
% 0.74/1.15 parent0: (678) {G0,W8,D3,L2,V2,M2} { ! alpha15( X, Y ), big_r( X, skol3( X
% 0.74/1.15 , Y ) ) }.
% 0.74/1.15 substitution0:
% 0.74/1.15 X := X
% 0.74/1.15 Y := Y
% 0.74/1.15 end
% 0.74/1.15 permutation0:
% 0.74/1.15 0 ==> 0
% 0.74/1.15 1 ==> 1
% 0.74/1.15 end
% 0.74/1.15
% 0.74/1.15 subsumption: (16) {G0,W9,D2,L3,V3,M2} I { alpha15( X, Y ), ! big_r( X, Z )
% 0.74/1.15 , ! big_r( Z, Y ) }.
% 0.74/1.15 parent0: (679) {G0,W9,D2,L3,V3,M3} { ! big_r( X, Z ), ! big_r( Z, Y ),
% 0.74/1.15 alpha15( X, Y ) }.
% 0.74/1.15 substitution0:
% 0.74/1.15 X := X
% 0.74/1.15 Y := Y
% 0.74/1.15 Z := Z
% 0.74/1.15 end
% 0.74/1.15 permutation0:
% 0.74/1.15 0 ==> 1
% 0.74/1.15 1 ==> 2
% 0.74/1.15 2 ==> 0
% 0.74/1.15 end
% 0.74/1.15
% 0.74/1.15 subsumption: (17) {G0,W7,D2,L3,V2,M1} I { ! alpha12( X ), ! big_p( Y ), !
% 0.74/1.15 big_r( X, Y ) }.
% 0.74/1.15 parent0: (680) {G0,W7,D2,L3,V2,M3} { ! alpha12( X ), ! big_p( Y ), ! big_r
% 0.74/1.15 ( X, Y ) }.
% 0.74/1.15 substitution0:
% 0.74/1.15 X := X
% 0.74/1.15 Y := Y
% 0.74/1.15 end
% 0.74/1.15 permutation0:
% 0.74/1.15 0 ==> 0
% 0.74/1.15 1 ==> 1
% 0.74/1.15 2 ==> 2
% 0.74/1.15 end
% 0.74/1.15
% 0.74/1.15 subsumption: (18) {G0,W5,D3,L2,V2,M1} I { alpha12( X ), big_p( skol4( Y ) )
% 0.74/1.15 }.
% 0.74/1.15 parent0: (681) {G0,W5,D3,L2,V2,M2} { big_p( skol4( Y ) ), alpha12( X ) }.
% 0.74/1.15 substitution0:
% 0.74/1.15 X := X
% 0.74/1.15 Y := Y
% 0.74/1.15 end
% 0.74/1.15 permutation0:
% 0.74/1.15 0 ==> 1
% 0.74/1.15 1 ==> 0
% 0.74/1.15 end
% 0.74/1.15
% 0.74/1.15 subsumption: (19) {G0,W6,D3,L2,V1,M1} I { alpha12( X ), big_r( X, skol4( X
% 0.74/1.15 ) ) }.
% 0.74/1.15 parent0: (682) {G0,W6,D3,L2,V1,M2} { big_r( X, skol4( X ) ), alpha12( X )
% 0.74/1.15 }.
% 0.74/1.15 substitution0:
% 0.74/1.15 X := X
% 0.74/1.15 end
% 0.74/1.15 permutation0:
% 0.74/1.15 0 ==> 1
% 0.74/1.15 1 ==> 0
% 0.74/1.15 end
% 0.74/1.15
% 0.74/1.15 subsumption: (20) {G0,W6,D2,L3,V1,M1} I { ! alpha2( X ), alpha5( X ), !
% 0.74/1.15 big_p( a ) }.
% 0.74/1.15 parent0: (683) {G0,W6,D2,L3,V1,M3} { ! alpha2( X ), ! big_p( a ), alpha5(
% 0.74/1.15 X ) }.
% 0.74/1.15 substitution0:
% 0.74/1.15 X := X
% 0.74/1.15 end
% 0.74/1.15 permutation0:
% 0.74/1.15 0 ==> 0
% 0.74/1.15 1 ==> 2
% 0.74/1.15 2 ==> 1
% 0.74/1.15 end
% 0.74/1.15
% 0.74/1.15 subsumption: (21) {G0,W4,D2,L2,V1,M1} I { alpha2( X ), big_p( a ) }.
% 0.74/1.15 parent0: (684) {G0,W4,D2,L2,V1,M2} { big_p( a ), alpha2( X ) }.
% 0.74/1.15 substitution0:
% 0.74/1.15 X := X
% 0.74/1.15 end
% 0.74/1.15 permutation0:
% 0.74/1.15 0 ==> 1
% 0.74/1.15 1 ==> 0
% 0.74/1.15 end
% 0.74/1.15
% 0.74/1.15 subsumption: (22) {G0,W4,D2,L2,V1,M1} I { alpha2( X ), ! alpha5( X ) }.
% 0.74/1.15 parent0: (685) {G0,W4,D2,L2,V1,M2} { ! alpha5( X ), alpha2( X ) }.
% 0.74/1.15 substitution0:
% 0.74/1.15 X := X
% 0.74/1.15 end
% 0.74/1.15 permutation0:
% 0.74/1.15 0 ==> 1
% 0.74/1.15 1 ==> 0
% 0.74/1.15 end
% 0.74/1.15
% 0.74/1.15 subsumption: (23) {G0,W6,D2,L3,V1,M1} I { ! alpha5( X ), alpha9( X ), big_p
% 0.74/1.15 ( X ) }.
% 0.74/1.15 parent0: (686) {G0,W6,D2,L3,V1,M3} { ! alpha5( X ), big_p( X ), alpha9( X
% 0.74/1.15 ) }.
% 0.74/1.15 substitution0:
% 0.74/1.15 X := X
% 0.74/1.15 end
% 0.74/1.15 permutation0:
% 0.74/1.15 0 ==> 0
% 0.74/1.15 1 ==> 2
% 0.74/1.15 2 ==> 1
% 0.74/1.15 end
% 0.74/1.15
% 0.74/1.15 subsumption: (24) {G0,W4,D2,L2,V1,M1} I { alpha5( X ), ! big_p( X ) }.
% 0.74/1.15 parent0: (687) {G0,W4,D2,L2,V1,M2} { ! big_p( X ), alpha5( X ) }.
% 0.74/1.15 substitution0:
% 0.74/1.15 X := X
% 0.74/1.15 end
% 0.74/1.15 permutation0:
% 0.74/1.15 0 ==> 1
% 0.74/1.15 1 ==> 0
% 0.74/1.15 end
% 0.74/1.15
% 0.74/1.15 subsumption: (25) {G0,W4,D2,L2,V1,M1} I { alpha5( X ), ! alpha9( X ) }.
% 0.74/1.15 parent0: (688) {G0,W4,D2,L2,V1,M2} { ! alpha9( X ), alpha5( X ) }.
% 0.74/1.15 substitution0:
% 0.74/1.15 X := X
% 0.74/1.15 end
% 0.74/1.15 permutation0:
% 0.74/1.15 0 ==> 1
% 0.74/1.15 1 ==> 0
% 0.74/1.15 end
% 0.74/1.15
% 0.74/1.15 subsumption: (26) {G0,W5,D3,L2,V2,M1} I { ! alpha9( X ), big_p( skol5( Y )
% 0.74/1.15 ) }.
% 0.74/1.15 parent0: (689) {G0,W5,D3,L2,V2,M2} { ! alpha9( X ), big_p( skol5( Y ) )
% 0.74/1.15 }.
% 0.74/1.15 substitution0:
% 0.74/1.15 X := X
% 0.74/1.15 Y := Y
% 0.74/1.15 end
% 0.74/1.15 permutation0:
% 0.74/1.15 0 ==> 0
% 0.74/1.15 1 ==> 1
% 0.74/1.15 end
% 0.74/1.15
% 0.74/1.15 subsumption: (27) {G0,W6,D3,L2,V1,M1} I { ! alpha9( X ), alpha13( X, skol5
% 0.74/1.15 ( X ) ) }.
% 0.74/1.15 parent0: (690) {G0,W6,D3,L2,V1,M2} { ! alpha9( X ), alpha13( X, skol5( X )
% 0.74/1.15 ) }.
% 0.74/1.15 substitution0:
% 0.74/1.15 X := X
% 0.74/1.15 end
% 0.74/1.15 permutation0:
% 0.74/1.15 0 ==> 0
% 0.74/1.15 1 ==> 1
% 0.74/1.15 end
% 0.74/1.15
% 0.74/1.15 subsumption: (28) {G0,W7,D2,L3,V2,M1} I { ! big_p( Y ), alpha9( X ), !
% 0.74/1.15 alpha13( X, Y ) }.
% 0.74/1.15 parent0: (691) {G0,W7,D2,L3,V2,M3} { ! big_p( Y ), ! alpha13( X, Y ),
% 0.74/1.15 alpha9( X ) }.
% 0.74/1.15 substitution0:
% 0.74/1.15 X := X
% 0.74/1.15 Y := Y
% 0.74/1.15 end
% 0.74/1.15 permutation0:
% 0.74/1.15 0 ==> 0
% 0.74/1.15 1 ==> 2
% 0.74/1.15 2 ==> 1
% 0.74/1.15 end
% 0.74/1.15
% 0.74/1.15 subsumption: (29) {G0,W8,D3,L2,V3,M1} I { ! alpha13( X, Y ), big_r( skol6(
% 0.74/1.15 Z, Y ), Y ) }.
% 0.74/1.15 parent0: (692) {G0,W8,D3,L2,V3,M2} { ! alpha13( X, Y ), big_r( skol6( Z, Y
% 0.74/1.15 ), Y ) }.
% 0.74/1.15 substitution0:
% 0.74/1.15 X := X
% 0.74/1.15 Y := Y
% 0.74/1.15 Z := Z
% 0.74/1.15 end
% 0.74/1.15 permutation0:
% 0.74/1.15 0 ==> 0
% 0.74/1.15 1 ==> 1
% 0.74/1.15 end
% 0.74/1.15
% 0.74/1.15 subsumption: (30) {G0,W8,D3,L2,V2,M1} I { ! alpha13( X, Y ), big_r( X,
% 0.74/1.15 skol6( X, Y ) ) }.
% 0.74/1.15 parent0: (693) {G0,W8,D3,L2,V2,M2} { ! alpha13( X, Y ), big_r( X, skol6( X
% 0.74/1.15 , Y ) ) }.
% 0.74/1.15 substitution0:
% 0.74/1.15 X := X
% 0.74/1.15 Y := Y
% 0.74/1.15 end
% 0.74/1.15 permutation0:
% 0.74/1.15 0 ==> 0
% 0.74/1.15 1 ==> 1
% 0.74/1.15 end
% 0.74/1.15
% 0.74/1.15 subsumption: (31) {G0,W9,D2,L3,V3,M2} I { alpha13( X, Y ), ! big_r( X, Z )
% 0.74/1.15 , ! big_r( Z, Y ) }.
% 0.74/1.15 parent0: (694) {G0,W9,D2,L3,V3,M3} { ! big_r( X, Z ), ! big_r( Z, Y ),
% 0.74/1.15 alpha13( X, Y ) }.
% 0.74/1.15 substitution0:
% 0.74/1.15 X := X
% 0.74/1.15 Y := Y
% 0.74/1.15 Z := Z
% 0.74/1.15 end
% 0.74/1.15 permutation0:
% 0.74/1.15 0 ==> 1
% 0.74/1.15 1 ==> 2
% 0.74/1.15 2 ==> 0
% 0.74/1.15 end
% 0.74/1.15
% 0.74/1.15 subsumption: (32) {G0,W5,D2,L3,V1,M1} I { ! alpha3( X ), alpha6( X ), !
% 0.74/1.15 alpha1 }.
% 0.74/1.15 parent0: (695) {G0,W5,D2,L3,V1,M3} { ! alpha1, ! alpha3( X ), alpha6( X )
% 0.74/1.15 }.
% 0.74/1.15 substitution0:
% 0.74/1.15 X := X
% 0.74/1.15 end
% 0.74/1.15 permutation0:
% 0.74/1.15 0 ==> 2
% 0.74/1.15 1 ==> 0
% 0.74/1.15 2 ==> 1
% 0.74/1.15 end
% 0.74/1.15
% 0.74/1.15 subsumption: (33) {G0,W3,D2,L2,V0,M1} I { alpha1, alpha3( skol7 ) }.
% 0.74/1.15 parent0: (696) {G0,W3,D2,L2,V0,M2} { alpha3( skol7 ), alpha1 }.
% 0.74/1.15 substitution0:
% 0.74/1.15 end
% 0.74/1.15 permutation0:
% 0.74/1.15 0 ==> 1
% 0.74/1.15 1 ==> 0
% 0.74/1.15 end
% 0.74/1.15
% 0.74/1.15 subsumption: (34) {G0,W3,D2,L2,V0,M1} I { alpha1, ! alpha6( skol7 ) }.
% 0.74/1.15 parent0: (697) {G0,W3,D2,L2,V0,M2} { ! alpha6( skol7 ), alpha1 }.
% 0.74/1.15 substitution0:
% 0.74/1.15 end
% 0.74/1.15 permutation0:
% 0.74/1.15 0 ==> 1
% 0.74/1.15 1 ==> 0
% 0.74/1.15 end
% 0.74/1.15
% 0.74/1.15 subsumption: (35) {G0,W5,D3,L2,V2,M1} I { ! alpha6( X ), big_p( skol8( Y )
% 0.74/1.15 ) }.
% 0.74/1.15 parent0: (698) {G0,W5,D3,L2,V2,M2} { ! alpha6( X ), big_p( skol8( Y ) )
% 0.74/1.15 }.
% 0.74/1.15 substitution0:
% 0.74/1.15 X := X
% 0.74/1.15 Y := Y
% 0.74/1.15 end
% 0.74/1.15 permutation0:
% 0.74/1.15 0 ==> 0
% 0.74/1.15 1 ==> 1
% 0.74/1.15 end
% 0.74/1.15
% 0.74/1.15 subsumption: (36) {G0,W6,D3,L2,V1,M1} I { ! alpha6( X ), alpha10( X, skol8
% 0.74/1.15 ( X ) ) }.
% 0.74/1.15 parent0: (699) {G0,W6,D3,L2,V1,M2} { ! alpha6( X ), alpha10( X, skol8( X )
% 0.74/1.15 ) }.
% 0.74/1.15 substitution0:
% 0.74/1.15 X := X
% 0.74/1.15 end
% 0.74/1.15 permutation0:
% 0.74/1.15 0 ==> 0
% 0.74/1.15 1 ==> 1
% 0.74/1.15 end
% 0.74/1.15
% 0.74/1.15 subsumption: (37) {G0,W7,D2,L3,V2,M1} I { ! big_p( Y ), alpha6( X ), !
% 0.74/1.15 alpha10( X, Y ) }.
% 0.74/1.15 parent0: (700) {G0,W7,D2,L3,V2,M3} { ! big_p( Y ), ! alpha10( X, Y ),
% 0.74/1.15 alpha6( X ) }.
% 0.74/1.15 substitution0:
% 0.74/1.15 X := X
% 0.74/1.15 Y := Y
% 0.74/1.15 end
% 0.74/1.15 permutation0:
% 0.74/1.15 0 ==> 0
% 0.74/1.15 1 ==> 2
% 0.74/1.15 2 ==> 1
% 0.74/1.15 end
% 0.74/1.15
% 0.74/1.15 subsumption: (38) {G0,W8,D3,L2,V3,M1} I { ! alpha10( X, Y ), big_r( skol9(
% 0.74/1.15 Z, Y ), Y ) }.
% 0.74/1.15 parent0: (701) {G0,W8,D3,L2,V3,M2} { ! alpha10( X, Y ), big_r( skol9( Z, Y
% 0.74/1.15 ), Y ) }.
% 0.74/1.15 substitution0:
% 0.74/1.15 X := X
% 0.74/1.15 Y := Y
% 0.74/1.15 Z := Z
% 0.74/1.15 end
% 0.74/1.15 permutation0:
% 0.74/1.15 0 ==> 0
% 0.74/1.15 1 ==> 1
% 0.74/1.15 end
% 0.74/1.15
% 0.74/1.15 subsumption: (39) {G0,W8,D3,L2,V2,M1} I { ! alpha10( X, Y ), big_r( X,
% 0.74/1.15 skol9( X, Y ) ) }.
% 0.74/1.15 parent0: (702) {G0,W8,D3,L2,V2,M2} { ! alpha10( X, Y ), big_r( X, skol9( X
% 0.74/1.15 , Y ) ) }.
% 0.74/1.15 substitution0:
% 0.74/1.15 X := X
% 0.74/1.15 Y := Y
% 0.74/1.15 end
% 0.74/1.15 permutation0:
% 0.74/1.15 0 ==> 0
% 0.74/1.15 1 ==> 1
% 0.74/1.15 end
% 0.74/1.15
% 0.74/1.15 subsumption: (40) {G0,W9,D2,L3,V3,M2} I { alpha10( X, Y ), ! big_r( X, Z )
% 0.74/1.15 , ! big_r( Z, Y ) }.
% 0.74/1.15 parent0: (703) {G0,W9,D2,L3,V3,M3} { ! big_r( X, Z ), ! big_r( Z, Y ),
% 0.74/1.15 alpha10( X, Y ) }.
% 0.74/1.15 substitution0:
% 0.74/1.15 X := X
% 0.74/1.15 Y := Y
% 0.74/1.15 Z := Z
% 0.74/1.15 end
% 0.74/1.15 permutation0:
% 0.74/1.15 0 ==> 1
% 0.74/1.15 1 ==> 2
% 0.74/1.15 2 ==> 0
% 0.74/1.15 end
% 0.74/1.15
% 0.74/1.15 subsumption: (41) {G0,W4,D2,L2,V1,M1} I { ! alpha3( X ), big_p( a ) }.
% 0.74/1.15 parent0: (704) {G0,W4,D2,L2,V1,M2} { ! alpha3( X ), big_p( a ) }.
% 0.74/1.15 substitution0:
% 0.74/1.15 X := X
% 0.74/1.15 end
% 0.74/1.15 permutation0:
% 0.74/1.15 0 ==> 0
% 0.74/1.15 1 ==> 1
% 0.74/1.15 end
% 0.74/1.15
% 0.74/1.15 subsumption: (42) {G0,W4,D2,L2,V1,M1} I { ! alpha3( X ), alpha7( X ) }.
% 0.74/1.15 parent0: (705) {G0,W4,D2,L2,V1,M2} { ! alpha3( X ), alpha7( X ) }.
% 0.74/1.15 substitution0:
% 0.74/1.15 X := X
% 0.74/1.15 end
% 0.74/1.15 permutation0:
% 0.74/1.15 0 ==> 0
% 0.74/1.15 1 ==> 1
% 0.74/1.15 end
% 0.74/1.15
% 0.74/1.15 subsumption: (43) {G0,W6,D2,L3,V1,M1} I { ! alpha7( X ), alpha3( X ), !
% 0.74/1.15 big_p( a ) }.
% 0.74/1.15 parent0: (706) {G0,W6,D2,L3,V1,M3} { ! big_p( a ), ! alpha7( X ), alpha3(
% 0.74/1.15 X ) }.
% 0.74/1.15 substitution0:
% 0.74/1.15 X := X
% 0.74/1.15 end
% 0.74/1.15 permutation0:
% 0.74/1.15 0 ==> 2
% 0.74/1.15 1 ==> 0
% 0.74/1.15 2 ==> 1
% 0.74/1.15 end
% 0.74/1.15
% 0.74/1.15 subsumption: (44) {G0,W6,D2,L3,V1,M1} I { ! alpha7( X ), alpha11( X ), !
% 0.74/1.15 big_p( X ) }.
% 0.74/1.15 parent0: (707) {G0,W6,D2,L3,V1,M3} { ! alpha7( X ), ! big_p( X ), alpha11
% 0.74/1.15 ( X ) }.
% 0.74/1.15 substitution0:
% 0.74/1.15 X := X
% 0.74/1.15 end
% 0.74/1.15 permutation0:
% 0.74/1.15 0 ==> 0
% 0.74/1.15 1 ==> 2
% 0.74/1.15 2 ==> 1
% 0.74/1.15 end
% 0.74/1.15
% 0.74/1.15 subsumption: (45) {G0,W4,D2,L2,V1,M1} I { alpha7( X ), big_p( X ) }.
% 0.74/1.15 parent0: (708) {G0,W4,D2,L2,V1,M2} { big_p( X ), alpha7( X ) }.
% 0.74/1.15 substitution0:
% 0.74/1.15 X := X
% 0.74/1.15 end
% 0.74/1.15 permutation0:
% 0.74/1.15 0 ==> 1
% 0.74/1.15 1 ==> 0
% 0.74/1.15 end
% 0.74/1.15
% 0.74/1.15 subsumption: (46) {G0,W4,D2,L2,V1,M1} I { ! alpha11( X ), alpha7( X ) }.
% 0.74/1.15 parent0: (709) {G0,W4,D2,L2,V1,M2} { ! alpha11( X ), alpha7( X ) }.
% 0.74/1.15 substitution0:
% 0.74/1.15 X := X
% 0.74/1.15 end
% 0.74/1.15 permutation0:
% 0.74/1.15 0 ==> 0
% 0.74/1.15 1 ==> 1
% 0.74/1.15 end
% 0.74/1.15
% 0.74/1.15 subsumption: (47) {G0,W5,D3,L2,V2,M1} I { ! alpha11( X ), big_p( skol10( Y
% 0.74/1.15 ) ) }.
% 0.74/1.15 parent0: (710) {G0,W5,D3,L2,V2,M2} { ! alpha11( X ), big_p( skol10( Y ) )
% 0.74/1.15 }.
% 0.74/1.15 substitution0:
% 0.74/1.15 X := X
% 0.74/1.15 Y := Y
% 0.74/1.15 end
% 0.74/1.15 permutation0:
% 0.74/1.15 0 ==> 0
% 0.74/1.15 1 ==> 1
% 0.74/1.15 end
% 0.74/1.15
% 0.74/1.15 subsumption: (48) {G0,W6,D3,L2,V1,M1} I { ! alpha11( X ), big_r( X, skol10
% 0.74/1.15 ( X ) ) }.
% 0.74/1.15 parent0: (711) {G0,W6,D3,L2,V1,M2} { ! alpha11( X ), big_r( X, skol10( X )
% 0.74/1.15 ) }.
% 0.74/1.15 substitution0:
% 0.74/1.15 X := X
% 0.74/1.15 end
% 0.74/1.15 permutation0:
% 0.74/1.15 0 ==> 0
% 0.74/1.15 1 ==> 1
% 0.74/1.15 end
% 0.74/1.15
% 0.74/1.15 subsumption: (49) {G0,W7,D2,L3,V2,M1} I { ! big_p( Y ), alpha11( X ), !
% 0.74/1.15 big_r( X, Y ) }.
% 0.74/1.15 parent0: (712) {G0,W7,D2,L3,V2,M3} { ! big_p( Y ), ! big_r( X, Y ),
% 0.74/1.15 alpha11( X ) }.
% 0.74/1.15 substitution0:
% 0.74/1.15 X := X
% 0.74/1.15 Y := Y
% 0.74/1.15 end
% 0.74/1.15 permutation0:
% 0.74/1.15 0 ==> 0
% 0.74/1.15 1 ==> 2
% 0.74/1.15 2 ==> 1
% 0.74/1.15 end
% 0.74/1.15
% 0.74/1.15 resolution: (776) {G1,W6,D2,L3,V2,M3} { ! alpha4( X ), alpha8( X ), !
% 0.74/1.15 alpha3( Y ) }.
% 0.74/1.15 parent0[2]: (5) {G0,W6,D2,L3,V1,M1} I { ! alpha4( X ), alpha8( X ), ! big_p
% 0.74/1.15 ( a ) }.
% 0.74/1.15 parent1[1]: (41) {G0,W4,D2,L2,V1,M1} I { ! alpha3( X ), big_p( a ) }.
% 0.74/1.15 substitution0:
% 0.74/1.15 X := X
% 0.74/1.15 end
% 0.74/1.15 substitution1:
% 0.74/1.15 X := Y
% 0.74/1.15 end
% 0.74/1.15
% 0.74/1.15 subsumption: (54) {G1,W6,D2,L3,V2,M1} R(41,5) { ! alpha3( X ), ! alpha4( Y
% 0.74/1.15 ), alpha8( Y ) }.
% 0.74/1.15 parent0: (776) {G1,W6,D2,L3,V2,M3} { ! alpha4( X ), alpha8( X ), ! alpha3
% 0.74/1.15 ( Y ) }.
% 0.74/1.15 substitution0:
% 0.74/1.15 X := Y
% 0.74/1.15 Y := X
% 0.74/1.15 end
% 0.74/1.15 permutation0:
% 0.74/1.15 0 ==> 1
% 0.74/1.15 1 ==> 2
% 0.74/1.15 2 ==> 0
% 0.74/1.15 end
% 0.74/1.15
% 0.74/1.15 resolution: (777) {G1,W4,D2,L2,V1,M2} { alpha5( X ), alpha7( X ) }.
% 0.74/1.15 parent0[1]: (24) {G0,W4,D2,L2,V1,M1} I { alpha5( X ), ! big_p( X ) }.
% 0.74/1.15 parent1[1]: (45) {G0,W4,D2,L2,V1,M1} I { alpha7( X ), big_p( X ) }.
% 0.74/1.15 substitution0:
% 0.74/1.15 X := X
% 0.74/1.15 end
% 0.74/1.15 substitution1:
% 0.74/1.15 X := X
% 0.74/1.15 end
% 0.74/1.15
% 0.74/1.15 subsumption: (56) {G1,W4,D2,L2,V1,M1} R(24,45) { alpha5( X ), alpha7( X )
% 0.74/1.15 }.
% 0.74/1.15 parent0: (777) {G1,W4,D2,L2,V1,M2} { alpha5( X ), alpha7( X ) }.
% 0.74/1.15 substitution0:
% 0.74/1.15 X := X
% 0.74/1.15 end
% 0.74/1.15 permutation0:
% 0.74/1.15 0 ==> 0
% 0.74/1.15 1 ==> 1
% 0.74/1.15 end
% 0.74/1.15
% 0.74/1.15 resolution: (778) {G1,W4,D2,L2,V1,M2} { alpha4( X ), ! alpha14( X ) }.
% 0.74/1.15 parent0[1]: (7) {G0,W4,D2,L2,V1,M1} I { alpha4( X ), ! alpha8( X ) }.
% 0.74/1.15 parent1[1]: (10) {G0,W4,D2,L2,V1,M1} I { ! alpha14( X ), alpha8( X ) }.
% 0.74/1.15 substitution0:
% 0.74/1.15 X := X
% 0.74/1.15 end
% 0.74/1.15 substitution1:
% 0.74/1.15 X := X
% 0.74/1.15 end
% 0.74/1.15
% 0.74/1.15 subsumption: (66) {G1,W4,D2,L2,V1,M1} R(10,7) { ! alpha14( X ), alpha4( X )
% 0.74/1.15 }.
% 0.74/1.15 parent0: (778) {G1,W4,D2,L2,V1,M2} { alpha4( X ), ! alpha14( X ) }.
% 0.74/1.15 substitution0:
% 0.74/1.15 X := X
% 0.74/1.15 end
% 0.74/1.15 permutation0:
% 0.74/1.15 0 ==> 1
% 0.74/1.15 1 ==> 0
% 0.74/1.15 end
% 0.74/1.15
% 0.74/1.15 resolution: (779) {G1,W4,D2,L2,V1,M2} { alpha4( X ), ! alpha12( X ) }.
% 0.74/1.15 parent0[1]: (7) {G0,W4,D2,L2,V1,M1} I { alpha4( X ), ! alpha8( X ) }.
% 0.74/1.15 parent1[1]: (9) {G0,W4,D2,L2,V1,M1} I { ! alpha12( X ), alpha8( X ) }.
% 0.74/1.15 substitution0:
% 0.74/1.15 X := X
% 0.74/1.15 end
% 0.74/1.15 substitution1:
% 0.74/1.15 X := X
% 0.74/1.15 end
% 0.74/1.15
% 0.74/1.15 subsumption: (67) {G1,W4,D2,L2,V1,M1} R(9,7) { ! alpha12( X ), alpha4( X )
% 0.74/1.15 }.
% 0.74/1.15 parent0: (779) {G1,W4,D2,L2,V1,M2} { alpha4( X ), ! alpha12( X ) }.
% 0.74/1.15 substitution0:
% 0.74/1.15 X := X
% 0.74/1.15 end
% 0.74/1.15 permutation0:
% 0.74/1.15 0 ==> 1
% 0.74/1.15 1 ==> 0
% 0.74/1.15 end
% 0.74/1.15
% 0.74/1.15 resolution: (780) {G1,W8,D2,L4,V2,M4} { alpha12( X ), alpha14( X ), !
% 0.74/1.15 alpha3( Y ), ! alpha4( X ) }.
% 0.74/1.15 parent0[2]: (8) {G0,W6,D2,L3,V1,M1} I { alpha12( X ), alpha14( X ), !
% 0.74/1.15 alpha8( X ) }.
% 0.74/1.15 parent1[2]: (54) {G1,W6,D2,L3,V2,M1} R(41,5) { ! alpha3( X ), ! alpha4( Y )
% 0.74/1.15 , alpha8( Y ) }.
% 0.74/1.15 substitution0:
% 0.74/1.15 X := X
% 0.74/1.15 end
% 0.74/1.15 substitution1:
% 0.74/1.15 X := Y
% 0.74/1.15 Y := X
% 0.74/1.15 end
% 0.74/1.15
% 0.74/1.15 subsumption: (78) {G2,W8,D2,L4,V2,M1} R(54,8) { ! alpha3( X ), alpha12( Y )
% 0.74/1.15 , alpha14( Y ), ! alpha4( Y ) }.
% 0.74/1.15 parent0: (780) {G1,W8,D2,L4,V2,M4} { alpha12( X ), alpha14( X ), ! alpha3
% 0.74/1.15 ( Y ), ! alpha4( X ) }.
% 0.74/1.15 substitution0:
% 0.74/1.15 X := Y
% 0.74/1.15 Y := X
% 0.74/1.15 end
% 0.74/1.15 permutation0:
% 0.74/1.15 0 ==> 1
% 0.74/1.15 1 ==> 2
% 0.74/1.15 2 ==> 0
% 0.74/1.15 3 ==> 3
% 0.74/1.15 end
% 0.74/1.15
% 0.74/1.15 resolution: (781) {G1,W6,D2,L3,V2,M3} { ! alpha7( X ), alpha3( X ), alpha2
% 0.74/1.15 ( Y ) }.
% 0.74/1.15 parent0[2]: (43) {G0,W6,D2,L3,V1,M1} I { ! alpha7( X ), alpha3( X ), !
% 0.74/1.15 big_p( a ) }.
% 0.74/1.15 parent1[1]: (21) {G0,W4,D2,L2,V1,M1} I { alpha2( X ), big_p( a ) }.
% 0.74/1.15 substitution0:
% 0.74/1.15 X := X
% 0.74/1.15 end
% 0.74/1.15 substitution1:
% 0.74/1.15 X := Y
% 0.74/1.15 end
% 0.74/1.15
% 0.74/1.15 subsumption: (98) {G1,W6,D2,L3,V2,M1} R(43,21) { alpha3( X ), alpha2( Y ),
% 0.74/1.15 ! alpha7( X ) }.
% 0.74/1.15 parent0: (781) {G1,W6,D2,L3,V2,M3} { ! alpha7( X ), alpha3( X ), alpha2( Y
% 0.74/1.15 ) }.
% 0.74/1.15 substitution0:
% 0.74/1.15 X := X
% 0.74/1.15 Y := Y
% 0.74/1.15 end
% 0.74/1.15 permutation0:
% 0.74/1.15 0 ==> 2
% 0.74/1.15 1 ==> 0
% 0.74/1.15 2 ==> 1
% 0.74/1.15 end
% 0.74/1.15
% 0.74/1.15 resolution: (782) {G1,W6,D2,L3,V2,M3} { ! alpha7( X ), alpha3( X ), alpha4
% 0.74/1.15 ( Y ) }.
% 0.74/1.15 parent0[2]: (43) {G0,W6,D2,L3,V1,M1} I { ! alpha7( X ), alpha3( X ), !
% 0.74/1.15 big_p( a ) }.
% 0.74/1.15 parent1[1]: (6) {G0,W4,D2,L2,V1,M1} I { alpha4( X ), big_p( a ) }.
% 0.74/1.15 substitution0:
% 0.74/1.15 X := X
% 0.74/1.15 end
% 0.74/1.15 substitution1:
% 0.74/1.15 X := Y
% 0.74/1.15 end
% 0.74/1.15
% 0.74/1.15 subsumption: (99) {G1,W6,D2,L3,V2,M1} R(43,6) { alpha3( X ), alpha4( Y ), !
% 0.74/1.15 alpha7( X ) }.
% 0.74/1.15 parent0: (782) {G1,W6,D2,L3,V2,M3} { ! alpha7( X ), alpha3( X ), alpha4( Y
% 0.74/1.15 ) }.
% 0.74/1.15 substitution0:
% 0.74/1.15 X := X
% 0.74/1.15 Y := Y
% 0.74/1.15 end
% 0.74/1.15 permutation0:
% 0.74/1.15 0 ==> 2
% 0.74/1.15 1 ==> 0
% 0.74/1.15 2 ==> 1
% 0.74/1.15 end
% 0.74/1.15
% 0.74/1.15 resolution: (783) {G2,W6,D2,L3,V2,M3} { alpha3( X ), alpha2( Y ), alpha5(
% 0.74/1.15 X ) }.
% 0.74/1.15 parent0[2]: (98) {G1,W6,D2,L3,V2,M1} R(43,21) { alpha3( X ), alpha2( Y ), !
% 0.74/1.15 alpha7( X ) }.
% 0.74/1.15 parent1[1]: (56) {G1,W4,D2,L2,V1,M1} R(24,45) { alpha5( X ), alpha7( X )
% 0.74/1.15 }.
% 0.74/1.15 substitution0:
% 0.74/1.15 X := X
% 0.74/1.15 Y := Y
% 0.74/1.15 end
% 0.74/1.15 substitution1:
% 0.74/1.15 X := X
% 0.74/1.15 end
% 0.74/1.15
% 0.74/1.15 subsumption: (102) {G2,W6,D2,L3,V2,M1} R(98,56) { alpha2( Y ), alpha3( X )
% 0.74/1.15 , alpha5( X ) }.
% 0.74/1.15 parent0: (783) {G2,W6,D2,L3,V2,M3} { alpha3( X ), alpha2( Y ), alpha5( X )
% 0.74/1.15 }.
% 0.74/1.15 substitution0:
% 0.74/1.15 X := X
% 0.74/1.15 Y := Y
% 0.74/1.15 end
% 0.74/1.15 permutation0:
% 0.74/1.15 0 ==> 1
% 0.74/1.15 1 ==> 0
% 0.74/1.15 2 ==> 2
% 0.74/1.15 end
% 0.74/1.15
% 0.74/1.15 *** allocated 50625 integers for clauses
% 0.74/1.15 resolution: (784) {G1,W6,D2,L3,V2,M3} { alpha2( X ), alpha2( Y ), alpha3(
% 0.74/1.15 X ) }.
% 0.74/1.15 parent0[1]: (22) {G0,W4,D2,L2,V1,M1} I { alpha2( X ), ! alpha5( X ) }.
% 0.74/1.15 parent1[2]: (102) {G2,W6,D2,L3,V2,M1} R(98,56) { alpha2( Y ), alpha3( X ),
% 0.74/1.15 alpha5( X ) }.
% 0.74/1.15 substitution0:
% 0.74/1.15 X := X
% 0.74/1.15 end
% 0.74/1.15 substitution1:
% 0.74/1.15 X := X
% 0.74/1.15 Y := Y
% 0.74/1.15 end
% 0.74/1.15
% 0.74/1.15 subsumption: (104) {G3,W6,D2,L3,V2,M1} R(102,22) { alpha2( X ), alpha2( Y )
% 0.74/1.15 , alpha3( Y ) }.
% 0.74/1.15 parent0: (784) {G1,W6,D2,L3,V2,M3} { alpha2( X ), alpha2( Y ), alpha3( X )
% 0.74/1.15 }.
% 0.74/1.15 substitution0:
% 0.74/1.15 X := Y
% 0.74/1.15 Y := X
% 0.74/1.15 end
% 0.74/1.15 permutation0:
% 0.74/1.15 0 ==> 1
% 0.74/1.15 1 ==> 0
% 0.74/1.15 2 ==> 2
% 0.74/1.15 end
% 0.74/1.15
% 0.74/1.15 factor: (786) {G3,W4,D2,L2,V1,M2} { alpha2( X ), alpha3( X ) }.
% 0.74/1.15 parent0[0, 1]: (104) {G3,W6,D2,L3,V2,M1} R(102,22) { alpha2( X ), alpha2( Y
% 0.74/1.15 ), alpha3( Y ) }.
% 0.74/1.15 substitution0:
% 0.74/1.15 X := X
% 0.74/1.15 Y := X
% 0.74/1.15 end
% 0.74/1.15
% 0.74/1.15 subsumption: (105) {G4,W4,D2,L2,V1,M1} F(104) { alpha2( X ), alpha3( X )
% 0.74/1.15 }.
% 0.74/1.15 parent0: (786) {G3,W4,D2,L2,V1,M2} { alpha2( X ), alpha3( X ) }.
% 0.74/1.15 substitution0:
% 0.74/1.15 X := X
% 0.74/1.15 end
% 0.74/1.15 permutation0:
% 0.74/1.15 0 ==> 0
% 0.74/1.15 1 ==> 1
% 0.74/1.15 end
% 0.74/1.15
% 0.74/1.15 resolution: (787) {G1,W6,D2,L3,V2,M3} { alpha3( X ), alpha4( Y ), !
% 0.74/1.15 alpha11( X ) }.
% 0.74/1.15 parent0[2]: (99) {G1,W6,D2,L3,V2,M1} R(43,6) { alpha3( X ), alpha4( Y ), !
% 0.74/1.15 alpha7( X ) }.
% 0.74/1.15 parent1[1]: (46) {G0,W4,D2,L2,V1,M1} I { ! alpha11( X ), alpha7( X ) }.
% 0.74/1.15 substitution0:
% 0.74/1.15 X := X
% 0.74/1.15 Y := Y
% 0.74/1.15 end
% 0.74/1.15 substitution1:
% 0.74/1.15 X := X
% 0.74/1.15 end
% 0.74/1.15
% 0.74/1.15 subsumption: (109) {G2,W6,D2,L3,V2,M1} R(99,46) { alpha3( X ), ! alpha11( X
% 0.74/1.15 ), alpha4( Y ) }.
% 0.74/1.15 parent0: (787) {G1,W6,D2,L3,V2,M3} { alpha3( X ), alpha4( Y ), ! alpha11(
% 0.74/1.15 X ) }.
% 0.74/1.15 substitution0:
% 0.74/1.15 X := X
% 0.74/1.15 Y := Y
% 0.74/1.15 end
% 0.74/1.15 permutation0:
% 0.74/1.15 0 ==> 0
% 0.74/1.15 1 ==> 2
% 0.74/1.15 2 ==> 1
% 0.74/1.15 end
% 0.74/1.15
% 0.74/1.15 resolution: (788) {G1,W6,D2,L3,V2,M3} { ! alpha2( X ), alpha5( X ), !
% 0.74/1.15 alpha3( Y ) }.
% 0.74/1.15 parent0[2]: (20) {G0,W6,D2,L3,V1,M1} I { ! alpha2( X ), alpha5( X ), !
% 0.74/1.15 big_p( a ) }.
% 0.74/1.15 parent1[1]: (41) {G0,W4,D2,L2,V1,M1} I { ! alpha3( X ), big_p( a ) }.
% 0.74/1.15 substitution0:
% 0.74/1.15 X := X
% 0.74/1.15 end
% 0.74/1.15 substitution1:
% 0.74/1.15 X := Y
% 0.74/1.15 end
% 0.74/1.15
% 0.74/1.15 subsumption: (112) {G1,W6,D2,L3,V2,M1} R(20,41) { ! alpha2( X ), ! alpha3(
% 0.74/1.15 Y ), alpha5( X ) }.
% 0.74/1.15 parent0: (788) {G1,W6,D2,L3,V2,M3} { ! alpha2( X ), alpha5( X ), ! alpha3
% 0.74/1.15 ( Y ) }.
% 0.74/1.15 substitution0:
% 0.74/1.15 X := X
% 0.74/1.15 Y := Y
% 0.74/1.15 end
% 0.74/1.15 permutation0:
% 0.74/1.15 0 ==> 0
% 0.74/1.15 1 ==> 2
% 0.74/1.15 2 ==> 1
% 0.74/1.15 end
% 0.74/1.15
% 0.74/1.15 resolution: (789) {G1,W8,D2,L4,V1,M4} { ! alpha7( X ), alpha11( X ), !
% 0.74/1.15 alpha5( X ), alpha9( X ) }.
% 0.74/1.15 parent0[2]: (44) {G0,W6,D2,L3,V1,M1} I { ! alpha7( X ), alpha11( X ), !
% 0.74/1.15 big_p( X ) }.
% 0.74/1.15 parent1[2]: (23) {G0,W6,D2,L3,V1,M1} I { ! alpha5( X ), alpha9( X ), big_p
% 0.74/1.15 ( X ) }.
% 0.74/1.15 substitution0:
% 0.74/1.15 X := X
% 0.74/1.15 end
% 0.74/1.15 substitution1:
% 0.74/1.15 X := X
% 0.74/1.15 end
% 0.74/1.15
% 0.74/1.15 subsumption: (116) {G1,W8,D2,L4,V1,M1} R(23,44) { ! alpha5( X ), ! alpha7(
% 0.74/1.15 X ), alpha11( X ), alpha9( X ) }.
% 0.74/1.15 parent0: (789) {G1,W8,D2,L4,V1,M4} { ! alpha7( X ), alpha11( X ), ! alpha5
% 0.74/1.15 ( X ), alpha9( X ) }.
% 0.74/1.15 substitution0:
% 0.74/1.15 X := X
% 0.74/1.15 end
% 0.74/1.15 permutation0:
% 0.74/1.15 0 ==> 1
% 0.74/1.15 1 ==> 2
% 0.74/1.15 2 ==> 0
% 0.74/1.15 3 ==> 3
% 0.74/1.15 end
% 0.74/1.15
% 0.74/1.15 resolution: (790) {G1,W7,D3,L3,V1,M3} { ! alpha12( X ), ! big_p( skol10( X
% 0.74/1.15 ) ), ! alpha11( X ) }.
% 0.74/1.15 parent0[2]: (17) {G0,W7,D2,L3,V2,M1} I { ! alpha12( X ), ! big_p( Y ), !
% 0.74/1.15 big_r( X, Y ) }.
% 0.74/1.15 parent1[1]: (48) {G0,W6,D3,L2,V1,M1} I { ! alpha11( X ), big_r( X, skol10(
% 0.74/1.15 X ) ) }.
% 0.74/1.15 substitution0:
% 0.74/1.15 X := X
% 0.74/1.15 Y := skol10( X )
% 0.74/1.15 end
% 0.74/1.15 substitution1:
% 0.74/1.15 X := X
% 0.74/1.15 end
% 0.74/1.15
% 0.74/1.15 subsumption: (123) {G1,W7,D3,L3,V1,M1} R(48,17) { ! alpha11( X ), ! alpha12
% 0.74/1.15 ( X ), ! big_p( skol10( X ) ) }.
% 0.74/1.15 parent0: (790) {G1,W7,D3,L3,V1,M3} { ! alpha12( X ), ! big_p( skol10( X )
% 0.74/1.15 ), ! alpha11( X ) }.
% 0.74/1.15 substitution0:
% 0.74/1.15 X := X
% 0.74/1.15 end
% 0.74/1.15 permutation0:
% 0.74/1.15 0 ==> 1
% 0.74/1.15 1 ==> 2
% 0.74/1.15 2 ==> 0
% 0.74/1.15 end
% 0.74/1.15
% 0.74/1.15 resolution: (791) {G1,W7,D3,L3,V1,M3} { ! big_p( skol4( X ) ), alpha11( X
% 0.74/1.15 ), alpha12( X ) }.
% 0.74/1.15 parent0[2]: (49) {G0,W7,D2,L3,V2,M1} I { ! big_p( Y ), alpha11( X ), !
% 0.74/1.15 big_r( X, Y ) }.
% 0.74/1.15 parent1[1]: (19) {G0,W6,D3,L2,V1,M1} I { alpha12( X ), big_r( X, skol4( X )
% 0.74/1.15 ) }.
% 0.74/1.15 substitution0:
% 0.74/1.15 X := X
% 0.74/1.15 Y := skol4( X )
% 0.74/1.15 end
% 0.74/1.15 substitution1:
% 0.74/1.15 X := X
% 0.74/1.15 end
% 0.74/1.15
% 0.74/1.15 subsumption: (126) {G1,W7,D3,L3,V1,M1} R(49,19) { alpha11( X ), alpha12( X
% 0.74/1.15 ), ! big_p( skol4( X ) ) }.
% 0.74/1.15 parent0: (791) {G1,W7,D3,L3,V1,M3} { ! big_p( skol4( X ) ), alpha11( X ),
% 0.74/1.15 alpha12( X ) }.
% 0.74/1.15 substitution0:
% 0.74/1.15 X := X
% 0.74/1.15 end
% 0.74/1.15 permutation0:
% 0.74/1.15 0 ==> 2
% 0.74/1.15 1 ==> 0
% 0.74/1.15 2 ==> 1
% 0.74/1.15 end
% 0.74/1.15
% 0.74/1.15 resolution: (793) {G1,W11,D3,L3,V4,M3} { alpha15( X, Y ), ! big_r( X,
% 0.74/1.15 skol6( Z, Y ) ), ! alpha13( T, Y ) }.
% 0.74/1.15 parent0[2]: (16) {G0,W9,D2,L3,V3,M2} I { alpha15( X, Y ), ! big_r( X, Z ),
% 0.74/1.15 ! big_r( Z, Y ) }.
% 0.74/1.15 parent1[1]: (29) {G0,W8,D3,L2,V3,M1} I { ! alpha13( X, Y ), big_r( skol6( Z
% 0.74/1.15 , Y ), Y ) }.
% 0.74/1.15 substitution0:
% 0.74/1.15 X := X
% 0.74/1.15 Y := Y
% 0.74/1.15 Z := skol6( Z, Y )
% 0.74/1.15 end
% 0.74/1.15 substitution1:
% 0.74/1.15 X := T
% 0.74/1.15 Y := Y
% 0.74/1.15 Z := Z
% 0.74/1.15 end
% 0.74/1.15
% 0.74/1.15 subsumption: (132) {G1,W11,D3,L3,V4,M1} R(29,16) { ! alpha13( X, Y ),
% 0.74/1.15 alpha15( Z, Y ), ! big_r( Z, skol6( T, Y ) ) }.
% 0.74/1.15 parent0: (793) {G1,W11,D3,L3,V4,M3} { alpha15( X, Y ), ! big_r( X, skol6(
% 0.74/1.15 Z, Y ) ), ! alpha13( T, Y ) }.
% 0.74/1.15 substitution0:
% 0.74/1.15 X := Z
% 0.74/1.15 Y := Y
% 0.74/1.15 Z := T
% 0.74/1.15 T := X
% 0.74/1.15 end
% 0.74/1.15 permutation0:
% 0.74/1.15 0 ==> 1
% 0.74/1.15 1 ==> 2
% 0.74/1.15 2 ==> 0
% 0.74/1.15 end
% 0.74/1.15
% 0.74/1.15 resolution: (794) {G1,W6,D2,L3,V2,M3} { alpha11( X ), alpha12( X ),
% 0.74/1.15 alpha12( Y ) }.
% 0.74/1.15 parent0[2]: (126) {G1,W7,D3,L3,V1,M1} R(49,19) { alpha11( X ), alpha12( X )
% 0.74/1.15 , ! big_p( skol4( X ) ) }.
% 0.74/1.15 parent1[1]: (18) {G0,W5,D3,L2,V2,M1} I { alpha12( X ), big_p( skol4( Y ) )
% 0.74/1.15 }.
% 0.74/1.15 substitution0:
% 0.74/1.15 X := X
% 0.74/1.15 end
% 0.74/1.15 substitution1:
% 0.74/1.15 X := Y
% 0.74/1.15 Y := X
% 0.74/1.15 end
% 0.74/1.15
% 0.74/1.15 subsumption: (134) {G2,W6,D2,L3,V2,M2} R(126,18) { alpha11( X ), alpha12( Y
% 0.74/1.15 ), alpha12( X ) }.
% 0.74/1.15 parent0: (794) {G1,W6,D2,L3,V2,M3} { alpha11( X ), alpha12( X ), alpha12(
% 0.74/1.15 Y ) }.
% 0.74/1.15 substitution0:
% 0.74/1.15 X := X
% 0.74/1.15 Y := Y
% 0.74/1.15 end
% 0.74/1.15 permutation0:
% 0.74/1.15 0 ==> 0
% 0.74/1.15 1 ==> 2
% 0.74/1.15 2 ==> 1
% 0.74/1.15 end
% 0.74/1.15
% 0.74/1.15 factor: (796) {G2,W4,D2,L2,V1,M2} { alpha11( X ), alpha12( X ) }.
% 0.74/1.15 parent0[1, 2]: (134) {G2,W6,D2,L3,V2,M2} R(126,18) { alpha11( X ), alpha12
% 0.74/1.15 ( Y ), alpha12( X ) }.
% 0.74/1.15 substitution0:
% 0.74/1.15 X := X
% 0.74/1.15 Y := X
% 0.74/1.15 end
% 0.74/1.15
% 0.74/1.15 subsumption: (135) {G3,W4,D2,L2,V1,M1} F(134) { alpha11( X ), alpha12( X )
% 0.74/1.15 }.
% 0.74/1.15 parent0: (796) {G2,W4,D2,L2,V1,M2} { alpha11( X ), alpha12( X ) }.
% 0.74/1.15 substitution0:
% 0.74/1.15 X := X
% 0.74/1.15 end
% 0.74/1.15 permutation0:
% 0.74/1.15 0 ==> 0
% 0.74/1.15 1 ==> 1
% 0.74/1.15 end
% 0.74/1.15
% 0.74/1.15 resolution: (797) {G1,W6,D2,L3,V2,M3} { ! alpha11( X ), ! alpha12( X ), !
% 0.74/1.15 alpha11( Y ) }.
% 0.74/1.15 parent0[2]: (123) {G1,W7,D3,L3,V1,M1} R(48,17) { ! alpha11( X ), ! alpha12
% 0.74/1.15 ( X ), ! big_p( skol10( X ) ) }.
% 0.74/1.15 parent1[1]: (47) {G0,W5,D3,L2,V2,M1} I { ! alpha11( X ), big_p( skol10( Y )
% 0.74/1.15 ) }.
% 0.74/1.15 substitution0:
% 0.74/1.15 X := X
% 0.74/1.15 end
% 0.74/1.15 substitution1:
% 0.74/1.15 X := Y
% 0.74/1.15 Y := X
% 0.74/1.15 end
% 0.74/1.15
% 0.74/1.15 subsumption: (141) {G2,W6,D2,L3,V2,M1} R(123,47) { ! alpha11( X ), !
% 0.74/1.15 alpha11( Y ), ! alpha12( X ) }.
% 0.74/1.15 parent0: (797) {G1,W6,D2,L3,V2,M3} { ! alpha11( X ), ! alpha12( X ), !
% 0.74/1.15 alpha11( Y ) }.
% 0.74/1.15 substitution0:
% 0.74/1.15 X := X
% 0.74/1.15 Y := X
% 0.74/1.15 end
% 0.74/1.15 permutation0:
% 0.74/1.15 0 ==> 0
% 0.74/1.15 1 ==> 2
% 0.74/1.15 2 ==> 0
% 0.74/1.15 end
% 0.74/1.15
% 0.74/1.15 factor: (799) {G2,W4,D2,L2,V1,M2} { ! alpha11( X ), ! alpha12( X ) }.
% 0.74/1.15 parent0[0, 1]: (141) {G2,W6,D2,L3,V2,M1} R(123,47) { ! alpha11( X ), !
% 0.74/1.15 alpha11( Y ), ! alpha12( X ) }.
% 0.74/1.15 substitution0:
% 0.74/1.15 X := X
% 0.74/1.15 Y := X
% 0.74/1.15 end
% 0.74/1.15
% 0.74/1.15 subsumption: (142) {G3,W4,D2,L2,V1,M1} F(141) { ! alpha11( X ), ! alpha12(
% 0.74/1.15 X ) }.
% 0.74/1.15 parent0: (799) {G2,W4,D2,L2,V1,M2} { ! alpha11( X ), ! alpha12( X ) }.
% 0.74/1.15 substitution0:
% 0.74/1.15 X := X
% 0.74/1.15 end
% 0.74/1.15 permutation0:
% 0.74/1.15 0 ==> 0
% 0.74/1.15 1 ==> 1
% 0.74/1.15 end
% 0.74/1.15
% 0.74/1.15 resolution: (800) {G1,W7,D2,L4,V2,M4} { ! alpha3( X ), alpha12( Y ),
% 0.74/1.15 alpha14( Y ), alpha16 }.
% 0.74/1.15 parent0[3]: (78) {G2,W8,D2,L4,V2,M1} R(54,8) { ! alpha3( X ), alpha12( Y )
% 0.74/1.15 , alpha14( Y ), ! alpha4( Y ) }.
% 0.74/1.15 parent1[1]: (1) {G0,W3,D2,L2,V1,M1} I { alpha16, alpha4( X ) }.
% 0.74/1.15 substitution0:
% 0.74/1.15 X := X
% 0.74/1.15 Y := Y
% 0.74/1.15 end
% 0.74/1.15 substitution1:
% 0.74/1.15 X := Y
% 0.74/1.15 end
% 0.74/1.15
% 0.74/1.15 subsumption: (143) {G3,W7,D2,L4,V2,M1} R(78,1) { alpha12( Y ), alpha14( Y )
% 0.74/1.15 , alpha16, ! alpha3( X ) }.
% 0.74/1.15 parent0: (800) {G1,W7,D2,L4,V2,M4} { ! alpha3( X ), alpha12( Y ), alpha14
% 0.74/1.15 ( Y ), alpha16 }.
% 0.74/1.15 substitution0:
% 0.74/1.15 X := X
% 0.74/1.15 Y := Y
% 0.74/1.15 end
% 0.74/1.15 permutation0:
% 0.74/1.15 0 ==> 3
% 0.74/1.15 1 ==> 0
% 0.74/1.15 2 ==> 1
% 0.74/1.15 3 ==> 2
% 0.74/1.15 end
% 0.74/1.15
% 0.74/1.15 resolution: (801) {G1,W11,D3,L3,V3,M3} { alpha13( X, Y ), ! big_r( skol3(
% 0.74/1.15 X, Z ), Y ), ! alpha15( X, Z ) }.
% 0.74/1.15 parent0[1]: (31) {G0,W9,D2,L3,V3,M2} I { alpha13( X, Y ), ! big_r( X, Z ),
% 0.74/1.15 ! big_r( Z, Y ) }.
% 0.74/1.15 parent1[1]: (15) {G0,W8,D3,L2,V2,M1} I { ! alpha15( X, Y ), big_r( X, skol3
% 0.74/1.15 ( X, Y ) ) }.
% 0.74/1.15 substitution0:
% 0.74/1.15 X := X
% 0.74/1.15 Y := Y
% 0.74/1.15 Z := skol3( X, Z )
% 0.74/1.15 end
% 0.74/1.15 substitution1:
% 0.74/1.15 X := X
% 0.74/1.15 Y := Z
% 0.74/1.15 end
% 0.74/1.15
% 0.74/1.15 subsumption: (152) {G1,W11,D3,L3,V3,M1} R(31,15) { alpha13( X, Y ), !
% 0.74/1.15 alpha15( X, Z ), ! big_r( skol3( X, Z ), Y ) }.
% 0.74/1.15 parent0: (801) {G1,W11,D3,L3,V3,M3} { alpha13( X, Y ), ! big_r( skol3( X,
% 0.74/1.15 Z ), Y ), ! alpha15( X, Z ) }.
% 0.74/1.15 substitution0:
% 0.74/1.15 X := X
% 0.74/1.15 Y := Y
% 0.74/1.15 Z := Z
% 0.74/1.15 end
% 0.74/1.15 permutation0:
% 0.74/1.15 0 ==> 0
% 0.74/1.15 1 ==> 2
% 0.74/1.15 2 ==> 1
% 0.74/1.15 end
% 0.74/1.15
% 0.74/1.15 resolution: (803) {G1,W6,D2,L4,V1,M4} { alpha12( X ), alpha14( X ),
% 0.74/1.15 alpha16, alpha1 }.
% 0.74/1.15 parent0[3]: (143) {G3,W7,D2,L4,V2,M1} R(78,1) { alpha12( Y ), alpha14( Y )
% 0.74/1.15 , alpha16, ! alpha3( X ) }.
% 0.74/1.15 parent1[1]: (33) {G0,W3,D2,L2,V0,M1} I { alpha1, alpha3( skol7 ) }.
% 0.74/1.15 substitution0:
% 0.74/1.15 X := skol7
% 0.74/1.15 Y := X
% 0.74/1.15 end
% 0.74/1.15 substitution1:
% 0.74/1.15 end
% 0.74/1.15
% 0.74/1.15 resolution: (804) {G1,W6,D2,L4,V1,M4} { alpha1, alpha12( X ), alpha14( X )
% 0.74/1.15 , alpha1 }.
% 0.74/1.15 parent0[1]: (3) {G0,W2,D1,L2,V0,M1} I { alpha1, ! alpha16 }.
% 0.74/1.15 parent1[2]: (803) {G1,W6,D2,L4,V1,M4} { alpha12( X ), alpha14( X ),
% 0.74/1.15 alpha16, alpha1 }.
% 0.74/1.15 substitution0:
% 0.74/1.15 end
% 0.74/1.15 substitution1:
% 0.74/1.15 X := X
% 0.74/1.15 end
% 0.74/1.15
% 0.74/1.15 factor: (805) {G1,W5,D2,L3,V1,M3} { alpha1, alpha12( X ), alpha14( X ) }.
% 0.74/1.15 parent0[0, 3]: (804) {G1,W6,D2,L4,V1,M4} { alpha1, alpha12( X ), alpha14(
% 0.74/1.15 X ), alpha1 }.
% 0.74/1.15 substitution0:
% 0.74/1.15 X := X
% 0.74/1.15 end
% 0.74/1.15
% 0.74/1.15 subsumption: (157) {G4,W5,D2,L3,V1,M1} R(143,33);r(3) { alpha12( X ),
% 0.74/1.15 alpha1, alpha14( X ) }.
% 0.74/1.15 parent0: (805) {G1,W5,D2,L3,V1,M3} { alpha1, alpha12( X ), alpha14( X )
% 0.74/1.15 }.
% 0.74/1.15 substitution0:
% 0.74/1.15 X := X
% 0.74/1.15 end
% 0.74/1.15 permutation0:
% 0.74/1.15 0 ==> 1
% 0.74/1.15 1 ==> 0
% 0.74/1.15 2 ==> 2
% 0.74/1.15 end
% 0.74/1.15
% 0.74/1.15 resolution: (807) {G1,W11,D3,L3,V4,M3} { alpha13( X, Y ), ! big_r( X,
% 0.74/1.15 skol9( Z, Y ) ), ! alpha10( T, Y ) }.
% 0.74/1.15 parent0[2]: (31) {G0,W9,D2,L3,V3,M2} I { alpha13( X, Y ), ! big_r( X, Z ),
% 0.74/1.15 ! big_r( Z, Y ) }.
% 0.74/1.15 parent1[1]: (38) {G0,W8,D3,L2,V3,M1} I { ! alpha10( X, Y ), big_r( skol9( Z
% 0.74/1.15 , Y ), Y ) }.
% 0.74/1.15 substitution0:
% 0.74/1.15 X := X
% 0.74/1.15 Y := Y
% 0.74/1.15 Z := skol9( Z, Y )
% 0.74/1.15 end
% 0.74/1.15 substitution1:
% 0.74/1.15 X := T
% 0.74/1.15 Y := Y
% 0.74/1.15 Z := Z
% 0.74/1.15 end
% 0.74/1.15
% 0.74/1.15 subsumption: (159) {G1,W11,D3,L3,V4,M1} R(38,31) { ! alpha10( X, Y ),
% 0.74/1.15 alpha13( Z, Y ), ! big_r( Z, skol9( T, Y ) ) }.
% 0.74/1.15 parent0: (807) {G1,W11,D3,L3,V4,M3} { alpha13( X, Y ), ! big_r( X, skol9(
% 0.74/1.15 Z, Y ) ), ! alpha10( T, Y ) }.
% 0.74/1.15 substitution0:
% 0.74/1.15 X := Z
% 0.74/1.15 Y := Y
% 0.74/1.15 Z := T
% 0.74/1.15 T := X
% 0.74/1.15 end
% 0.74/1.15 permutation0:
% 0.74/1.15 0 ==> 1
% 0.74/1.15 1 ==> 2
% 0.74/1.15 2 ==> 0
% 0.74/1.15 end
% 0.74/1.15
% 0.74/1.15 resolution: (808) {G1,W11,D3,L3,V3,M3} { alpha10( X, Y ), ! big_r( skol6(
% 0.74/1.15 X, Z ), Y ), ! alpha13( X, Z ) }.
% 0.74/1.15 parent0[1]: (40) {G0,W9,D2,L3,V3,M2} I { alpha10( X, Y ), ! big_r( X, Z ),
% 0.74/1.15 ! big_r( Z, Y ) }.
% 0.74/1.15 parent1[1]: (30) {G0,W8,D3,L2,V2,M1} I { ! alpha13( X, Y ), big_r( X, skol6
% 0.74/1.15 ( X, Y ) ) }.
% 0.74/1.15 substitution0:
% 0.74/1.15 X := X
% 0.74/1.15 Y := Y
% 0.74/1.15 Z := skol6( X, Z )
% 0.74/1.15 end
% 0.74/1.15 substitution1:
% 0.74/1.15 X := X
% 0.74/1.15 Y := Z
% 0.74/1.15 end
% 0.74/1.15
% 0.74/1.15 subsumption: (180) {G1,W11,D3,L3,V3,M1} R(40,30) { alpha10( X, Y ), !
% 0.74/1.15 alpha13( X, Z ), ! big_r( skol6( X, Z ), Y ) }.
% 0.74/1.15 parent0: (808) {G1,W11,D3,L3,V3,M3} { alpha10( X, Y ), ! big_r( skol6( X,
% 0.74/1.15 Z ), Y ), ! alpha13( X, Z ) }.
% 0.74/1.15 substitution0:
% 0.74/1.15 X := X
% 0.74/1.15 Y := Y
% 0.74/1.15 Z := Z
% 0.74/1.15 end
% 0.74/1.15 permutation0:
% 0.74/1.15 0 ==> 0
% 0.74/1.15 1 ==> 2
% 0.74/1.15 2 ==> 1
% 0.74/1.15 end
% 0.74/1.15
% 0.74/1.15 resolution: (810) {G1,W9,D2,L3,V3,M3} { ! alpha13( X, Y ), alpha15( Z, Y )
% 0.74/1.15 , ! alpha13( Z, Y ) }.
% 0.74/1.15 parent0[2]: (132) {G1,W11,D3,L3,V4,M1} R(29,16) { ! alpha13( X, Y ),
% 0.74/1.15 alpha15( Z, Y ), ! big_r( Z, skol6( T, Y ) ) }.
% 0.74/1.15 parent1[1]: (30) {G0,W8,D3,L2,V2,M1} I { ! alpha13( X, Y ), big_r( X, skol6
% 0.74/1.15 ( X, Y ) ) }.
% 0.74/1.15 substitution0:
% 0.74/1.15 X := X
% 0.74/1.15 Y := Y
% 0.74/1.15 Z := Z
% 0.74/1.15 T := Z
% 0.74/1.15 end
% 0.74/1.15 substitution1:
% 0.74/1.15 X := Z
% 0.74/1.15 Y := Y
% 0.74/1.15 end
% 0.74/1.15
% 0.74/1.15 subsumption: (316) {G2,W9,D2,L3,V3,M1} R(132,30) { ! alpha13( X, Y ), !
% 0.74/1.15 alpha13( Z, Y ), alpha15( Z, Y ) }.
% 0.74/1.15 parent0: (810) {G1,W9,D2,L3,V3,M3} { ! alpha13( X, Y ), alpha15( Z, Y ), !
% 0.74/1.15 alpha13( Z, Y ) }.
% 0.74/1.15 substitution0:
% 0.74/1.15 X := X
% 0.74/1.15 Y := Y
% 0.74/1.15 Z := Z
% 0.74/1.15 end
% 0.74/1.15 permutation0:
% 0.74/1.15 0 ==> 0
% 0.74/1.15 1 ==> 2
% 0.74/1.15 2 ==> 1
% 0.74/1.15 end
% 0.74/1.15
% 0.74/1.15 factor: (812) {G2,W6,D2,L2,V2,M2} { ! alpha13( X, Y ), alpha15( X, Y ) }.
% 0.74/1.15 parent0[0, 1]: (316) {G2,W9,D2,L3,V3,M1} R(132,30) { ! alpha13( X, Y ), !
% 0.74/1.15 alpha13( Z, Y ), alpha15( Z, Y ) }.
% 0.74/1.15 substitution0:
% 0.74/1.15 X := X
% 0.74/1.15 Y := Y
% 0.74/1.15 Z := X
% 0.74/1.15 end
% 0.74/1.15
% 0.74/1.15 subsumption: (317) {G3,W6,D2,L2,V2,M1} F(316) { ! alpha13( X, Y ), alpha15
% 0.74/1.15 ( X, Y ) }.
% 0.74/1.15 parent0: (812) {G2,W6,D2,L2,V2,M2} { ! alpha13( X, Y ), alpha15( X, Y )
% 0.74/1.15 }.
% 0.74/1.15 substitution0:
% 0.74/1.15 X := X
% 0.74/1.15 Y := Y
% 0.74/1.15 end
% 0.74/1.15 permutation0:
% 0.74/1.15 0 ==> 0
% 0.74/1.15 1 ==> 1
% 0.74/1.15 end
% 0.74/1.15
% 0.74/1.15 resolution: (813) {G1,W7,D2,L3,V2,M3} { ! big_p( X ), alpha14( Y ), !
% 0.74/1.15 alpha13( Y, X ) }.
% 0.74/1.15 parent0[2]: (13) {G0,W7,D2,L3,V2,M1} I { ! big_p( Y ), alpha14( X ), !
% 0.74/1.15 alpha15( X, Y ) }.
% 0.74/1.15 parent1[1]: (317) {G3,W6,D2,L2,V2,M1} F(316) { ! alpha13( X, Y ), alpha15(
% 0.74/1.15 X, Y ) }.
% 0.74/1.15 substitution0:
% 0.74/1.15 X := Y
% 0.74/1.15 Y := X
% 0.74/1.15 end
% 0.74/1.15 substitution1:
% 0.74/1.15 X := Y
% 0.74/1.15 Y := X
% 0.74/1.15 end
% 0.74/1.15
% 0.74/1.15 subsumption: (322) {G4,W7,D2,L3,V2,M1} R(317,13) { ! big_p( Y ), alpha14( X
% 0.74/1.15 ), ! alpha13( X, Y ) }.
% 0.74/1.15 parent0: (813) {G1,W7,D2,L3,V2,M3} { ! big_p( X ), alpha14( Y ), ! alpha13
% 0.74/1.15 ( Y, X ) }.
% 0.74/1.15 substitution0:
% 0.74/1.15 X := Y
% 0.74/1.15 Y := X
% 0.74/1.15 end
% 0.74/1.15 permutation0:
% 0.74/1.15 0 ==> 0
% 0.74/1.15 1 ==> 1
% 0.74/1.15 2 ==> 2
% 0.74/1.15 end
% 0.74/1.15
% 0.74/1.15 resolution: (814) {G1,W7,D3,L3,V1,M3} { ! big_p( skol5( X ) ), alpha14( X
% 0.74/1.15 ), ! alpha9( X ) }.
% 0.74/1.15 parent0[2]: (322) {G4,W7,D2,L3,V2,M1} R(317,13) { ! big_p( Y ), alpha14( X
% 0.74/1.15 ), ! alpha13( X, Y ) }.
% 0.74/1.15 parent1[1]: (27) {G0,W6,D3,L2,V1,M1} I { ! alpha9( X ), alpha13( X, skol5(
% 0.74/1.15 X ) ) }.
% 0.74/1.15 substitution0:
% 0.74/1.15 X := X
% 0.74/1.15 Y := skol5( X )
% 0.74/1.15 end
% 0.74/1.15 substitution1:
% 0.74/1.15 X := X
% 0.74/1.15 end
% 0.74/1.15
% 0.74/1.15 subsumption: (323) {G5,W7,D3,L3,V1,M1} R(322,27) { alpha14( X ), ! alpha9(
% 0.74/1.15 X ), ! big_p( skol5( X ) ) }.
% 0.74/1.15 parent0: (814) {G1,W7,D3,L3,V1,M3} { ! big_p( skol5( X ) ), alpha14( X ),
% 0.74/1.15 ! alpha9( X ) }.
% 0.74/1.15 substitution0:
% 0.74/1.15 X := X
% 0.74/1.15 end
% 0.74/1.15 permutation0:
% 0.74/1.15 0 ==> 2
% 0.74/1.15 1 ==> 0
% 0.74/1.15 2 ==> 1
% 0.74/1.15 end
% 0.74/1.15
% 0.74/1.15 resolution: (815) {G1,W6,D2,L3,V2,M3} { alpha14( X ), ! alpha9( X ), !
% 0.74/1.15 alpha9( Y ) }.
% 0.74/1.15 parent0[2]: (323) {G5,W7,D3,L3,V1,M1} R(322,27) { alpha14( X ), ! alpha9( X
% 0.74/1.15 ), ! big_p( skol5( X ) ) }.
% 0.74/1.15 parent1[1]: (26) {G0,W5,D3,L2,V2,M1} I { ! alpha9( X ), big_p( skol5( Y ) )
% 0.74/1.15 }.
% 0.74/1.15 substitution0:
% 0.74/1.15 X := X
% 0.74/1.15 end
% 0.74/1.15 substitution1:
% 0.74/1.15 X := Y
% 0.74/1.15 Y := X
% 0.74/1.15 end
% 0.74/1.15
% 0.74/1.15 subsumption: (325) {G6,W6,D2,L3,V2,M2} R(323,26) { alpha14( X ), ! alpha9(
% 0.74/1.15 Y ), ! alpha9( X ) }.
% 0.74/1.15 parent0: (815) {G1,W6,D2,L3,V2,M3} { alpha14( X ), ! alpha9( X ), ! alpha9
% 0.74/1.15 ( Y ) }.
% 0.74/1.15 substitution0:
% 0.74/1.15 X := X
% 0.74/1.15 Y := Y
% 0.74/1.15 end
% 0.74/1.15 permutation0:
% 0.74/1.15 0 ==> 0
% 0.74/1.15 1 ==> 2
% 0.74/1.15 2 ==> 1
% 0.74/1.15 end
% 0.74/1.15
% 0.74/1.15 factor: (817) {G6,W4,D2,L2,V1,M2} { alpha14( X ), ! alpha9( X ) }.
% 0.74/1.15 parent0[1, 2]: (325) {G6,W6,D2,L3,V2,M2} R(323,26) { alpha14( X ), ! alpha9
% 0.74/1.15 ( Y ), ! alpha9( X ) }.
% 0.74/1.15 substitution0:
% 0.74/1.15 X := X
% 0.74/1.15 Y := X
% 0.74/1.15 end
% 0.74/1.15
% 0.74/1.15 subsumption: (326) {G7,W4,D2,L2,V1,M1} F(325) { alpha14( X ), ! alpha9( X )
% 0.74/1.15 }.
% 0.74/1.15 parent0: (817) {G6,W4,D2,L2,V1,M2} { alpha14( X ), ! alpha9( X ) }.
% 0.74/1.15 substitution0:
% 0.74/1.15 X := X
% 0.74/1.15 end
% 0.74/1.15 permutation0:
% 0.74/1.15 0 ==> 0
% 0.74/1.15 1 ==> 1
% 0.74/1.15 end
% 0.74/1.15
% 0.74/1.15 resolution: (818) {G2,W8,D2,L4,V1,M4} { alpha14( X ), ! alpha5( X ), !
% 0.74/1.15 alpha7( X ), alpha11( X ) }.
% 0.74/1.15 parent0[1]: (326) {G7,W4,D2,L2,V1,M1} F(325) { alpha14( X ), ! alpha9( X )
% 0.74/1.15 }.
% 0.74/1.15 parent1[3]: (116) {G1,W8,D2,L4,V1,M1} R(23,44) { ! alpha5( X ), ! alpha7( X
% 0.74/1.15 ), alpha11( X ), alpha9( X ) }.
% 0.74/1.15 substitution0:
% 0.74/1.15 X := X
% 0.74/1.15 end
% 0.74/1.15 substitution1:
% 0.74/1.15 X := X
% 0.74/1.15 end
% 0.74/1.15
% 0.74/1.15 subsumption: (328) {G8,W8,D2,L4,V1,M1} R(326,116) { alpha14( X ), ! alpha5
% 0.74/1.15 ( X ), alpha11( X ), ! alpha7( X ) }.
% 0.74/1.15 parent0: (818) {G2,W8,D2,L4,V1,M4} { alpha14( X ), ! alpha5( X ), ! alpha7
% 0.74/1.15 ( X ), alpha11( X ) }.
% 0.74/1.15 substitution0:
% 0.74/1.15 X := X
% 0.74/1.15 end
% 0.74/1.15 permutation0:
% 0.74/1.15 0 ==> 0
% 0.74/1.15 1 ==> 1
% 0.74/1.15 2 ==> 3
% 0.74/1.15 3 ==> 2
% 0.74/1.15 end
% 0.74/1.15
% 0.74/1.15 resolution: (819) {G1,W8,D2,L4,V1,M4} { alpha14( X ), ! alpha5( X ),
% 0.74/1.15 alpha11( X ), ! alpha3( X ) }.
% 0.74/1.15 parent0[3]: (328) {G8,W8,D2,L4,V1,M1} R(326,116) { alpha14( X ), ! alpha5(
% 0.74/1.15 X ), alpha11( X ), ! alpha7( X ) }.
% 0.74/1.15 parent1[1]: (42) {G0,W4,D2,L2,V1,M1} I { ! alpha3( X ), alpha7( X ) }.
% 0.74/1.15 substitution0:
% 0.74/1.15 X := X
% 0.74/1.15 end
% 0.74/1.15 substitution1:
% 0.74/1.15 X := X
% 0.74/1.15 end
% 0.74/1.15
% 0.74/1.15 subsumption: (335) {G9,W8,D2,L4,V1,M1} R(328,42) { alpha14( X ), alpha11( X
% 0.74/1.15 ), ! alpha3( X ), ! alpha5( X ) }.
% 0.74/1.15 parent0: (819) {G1,W8,D2,L4,V1,M4} { alpha14( X ), ! alpha5( X ), alpha11
% 0.74/1.15 ( X ), ! alpha3( X ) }.
% 0.74/1.15 substitution0:
% 0.74/1.15 X := X
% 0.74/1.15 end
% 0.74/1.15 permutation0:
% 0.74/1.15 0 ==> 0
% 0.74/1.15 1 ==> 3
% 0.74/1.15 2 ==> 1
% 0.74/1.15 3 ==> 2
% 0.74/1.15 end
% 0.74/1.15
% 0.74/1.15 resolution: (820) {G2,W10,D2,L5,V2,M5} { alpha14( X ), alpha11( X ), !
% 0.74/1.15 alpha3( X ), ! alpha2( X ), ! alpha3( Y ) }.
% 0.74/1.15 parent0[3]: (335) {G9,W8,D2,L4,V1,M1} R(328,42) { alpha14( X ), alpha11( X
% 0.74/1.15 ), ! alpha3( X ), ! alpha5( X ) }.
% 0.74/1.15 parent1[2]: (112) {G1,W6,D2,L3,V2,M1} R(20,41) { ! alpha2( X ), ! alpha3( Y
% 0.74/1.15 ), alpha5( X ) }.
% 0.74/1.15 substitution0:
% 0.74/1.15 X := X
% 0.74/1.15 end
% 0.74/1.15 substitution1:
% 0.74/1.15 X := X
% 0.74/1.15 Y := Y
% 0.74/1.15 end
% 0.74/1.15
% 0.74/1.15 subsumption: (336) {G10,W10,D2,L5,V2,M2} R(335,112) { alpha11( X ), alpha14
% 0.74/1.15 ( X ), ! alpha2( X ), ! alpha3( Y ), ! alpha3( X ) }.
% 0.74/1.15 parent0: (820) {G2,W10,D2,L5,V2,M5} { alpha14( X ), alpha11( X ), ! alpha3
% 0.74/1.15 ( X ), ! alpha2( X ), ! alpha3( Y ) }.
% 0.74/1.15 substitution0:
% 0.74/1.15 X := X
% 0.74/1.15 Y := Y
% 0.74/1.15 end
% 0.74/1.15 permutation0:
% 0.74/1.15 0 ==> 1
% 0.74/1.15 1 ==> 0
% 0.74/1.15 2 ==> 4
% 0.74/1.15 3 ==> 2
% 0.74/1.15 4 ==> 3
% 0.74/1.15 end
% 0.74/1.15
% 0.74/1.15 factor: (822) {G10,W8,D2,L4,V1,M4} { alpha11( X ), alpha14( X ), ! alpha2
% 0.74/1.15 ( X ), ! alpha3( X ) }.
% 0.74/1.15 parent0[3, 4]: (336) {G10,W10,D2,L5,V2,M2} R(335,112) { alpha11( X ),
% 0.74/1.15 alpha14( X ), ! alpha2( X ), ! alpha3( Y ), ! alpha3( X ) }.
% 0.74/1.15 substitution0:
% 0.74/1.15 X := X
% 0.74/1.15 Y := X
% 0.74/1.15 end
% 0.74/1.15
% 0.74/1.15 subsumption: (337) {G11,W8,D2,L4,V1,M1} F(336) { alpha11( X ), alpha14( X )
% 0.74/1.15 , ! alpha2( X ), ! alpha3( X ) }.
% 0.74/1.15 parent0: (822) {G10,W8,D2,L4,V1,M4} { alpha11( X ), alpha14( X ), ! alpha2
% 0.74/1.15 ( X ), ! alpha3( X ) }.
% 0.74/1.15 substitution0:
% 0.74/1.15 X := X
% 0.74/1.15 end
% 0.74/1.15 permutation0:
% 0.74/1.15 0 ==> 0
% 0.74/1.15 1 ==> 1
% 0.74/1.15 2 ==> 2
% 0.74/1.15 3 ==> 3
% 0.74/1.15 end
% 0.74/1.15
% 0.74/1.15 resolution: (823) {G1,W7,D2,L4,V0,M4} { alpha11( skol7 ), alpha14( skol7 )
% 0.74/1.15 , ! alpha2( skol7 ), alpha1 }.
% 0.74/1.15 parent0[3]: (337) {G11,W8,D2,L4,V1,M1} F(336) { alpha11( X ), alpha14( X )
% 0.74/1.15 , ! alpha2( X ), ! alpha3( X ) }.
% 0.74/1.15 parent1[1]: (33) {G0,W3,D2,L2,V0,M1} I { alpha1, alpha3( skol7 ) }.
% 0.74/1.15 substitution0:
% 0.74/1.15 X := skol7
% 0.74/1.15 end
% 0.74/1.15 substitution1:
% 0.74/1.15 end
% 0.74/1.15
% 0.74/1.15 subsumption: (340) {G12,W7,D2,L4,V0,M1} R(337,33) { alpha11( skol7 ),
% 0.74/1.15 alpha14( skol7 ), alpha1, ! alpha2( skol7 ) }.
% 0.74/1.15 parent0: (823) {G1,W7,D2,L4,V0,M4} { alpha11( skol7 ), alpha14( skol7 ), !
% 0.74/1.15 alpha2( skol7 ), alpha1 }.
% 0.74/1.15 substitution0:
% 0.74/1.15 end
% 0.74/1.15 permutation0:
% 0.74/1.15 0 ==> 0
% 0.74/1.15 1 ==> 1
% 0.74/1.15 2 ==> 3
% 0.74/1.15 3 ==> 2
% 0.74/1.15 end
% 0.74/1.15
% 0.74/1.15 resolution: (824) {G1,W6,D2,L4,V0,M4} { alpha11( skol7 ), alpha14( skol7 )
% 0.74/1.15 , alpha1, alpha16 }.
% 0.74/1.15 parent0[3]: (340) {G12,W7,D2,L4,V0,M1} R(337,33) { alpha11( skol7 ),
% 0.74/1.15 alpha14( skol7 ), alpha1, ! alpha2( skol7 ) }.
% 0.74/1.15 parent1[1]: (0) {G0,W3,D2,L2,V1,M1} I { alpha16, alpha2( X ) }.
% 0.74/1.15 substitution0:
% 0.74/1.15 end
% 0.74/1.15 substitution1:
% 0.74/1.15 X := skol7
% 0.74/1.15 end
% 0.74/1.15
% 0.74/1.15 resolution: (825) {G1,W6,D2,L4,V0,M4} { alpha16, alpha11( skol7 ), alpha14
% 0.74/1.15 ( skol7 ), alpha16 }.
% 0.74/1.15 parent0[1]: (2) {G0,W2,D1,L2,V0,M1} I { alpha16, ! alpha1 }.
% 0.74/1.15 parent1[2]: (824) {G1,W6,D2,L4,V0,M4} { alpha11( skol7 ), alpha14( skol7 )
% 0.74/1.15 , alpha1, alpha16 }.
% 0.74/1.15 substitution0:
% 0.74/1.15 end
% 0.74/1.15 substitution1:
% 0.74/1.15 end
% 0.74/1.15
% 0.74/1.15 factor: (826) {G1,W5,D2,L3,V0,M3} { alpha16, alpha11( skol7 ), alpha14(
% 0.74/1.15 skol7 ) }.
% 0.74/1.15 parent0[0, 3]: (825) {G1,W6,D2,L4,V0,M4} { alpha16, alpha11( skol7 ),
% 0.74/1.15 alpha14( skol7 ), alpha16 }.
% 0.74/1.15 substitution0:
% 0.74/1.15 end
% 0.74/1.15
% 0.74/1.15 subsumption: (341) {G13,W5,D2,L3,V0,M1} R(340,0);r(2) { alpha11( skol7 ),
% 0.74/1.15 alpha16, alpha14( skol7 ) }.
% 0.74/1.15 parent0: (826) {G1,W5,D2,L3,V0,M3} { alpha16, alpha11( skol7 ), alpha14(
% 0.74/1.15 skol7 ) }.
% 0.74/1.15 substitution0:
% 0.74/1.15 end
% 0.74/1.15 permutation0:
% 0.74/1.15 0 ==> 1
% 0.74/1.15 1 ==> 0
% 0.74/1.15 2 ==> 2
% 0.74/1.15 end
% 0.74/1.15
% 0.74/1.15 resolution: (827) {G1,W9,D2,L3,V3,M3} { alpha13( X, Y ), ! alpha15( X, Y )
% 0.74/1.15 , ! alpha15( Z, Y ) }.
% 0.74/1.15 parent0[2]: (152) {G1,W11,D3,L3,V3,M1} R(31,15) { alpha13( X, Y ), !
% 0.74/1.15 alpha15( X, Z ), ! big_r( skol3( X, Z ), Y ) }.
% 0.74/1.15 parent1[1]: (14) {G0,W8,D3,L2,V3,M1} I { ! alpha15( X, Y ), big_r( skol3( Z
% 0.74/1.15 , Y ), Y ) }.
% 0.74/1.15 substitution0:
% 0.74/1.15 X := X
% 0.74/1.15 Y := Y
% 0.74/1.15 Z := Y
% 0.74/1.15 end
% 0.74/1.15 substitution1:
% 0.74/1.15 X := Z
% 0.74/1.15 Y := Y
% 0.74/1.15 Z := X
% 0.74/1.15 end
% 0.74/1.15
% 0.74/1.15 subsumption: (397) {G2,W9,D2,L3,V3,M2} R(152,14) { alpha13( X, Y ), !
% 0.74/1.15 alpha15( Z, Y ), ! alpha15( X, Y ) }.
% 0.74/1.15 parent0: (827) {G1,W9,D2,L3,V3,M3} { alpha13( X, Y ), ! alpha15( X, Y ), !
% 0.74/1.15 alpha15( Z, Y ) }.
% 0.74/1.15 substitution0:
% 0.74/1.15 X := X
% 0.74/1.15 Y := Y
% 0.74/1.15 Z := Z
% 0.74/1.15 end
% 0.74/1.15 permutation0:
% 0.74/1.15 0 ==> 0
% 0.74/1.15 1 ==> 2
% 0.74/1.15 2 ==> 1
% 0.74/1.15 end
% 0.74/1.15
% 0.74/1.15 factor: (829) {G2,W6,D2,L2,V2,M2} { alpha13( X, Y ), ! alpha15( X, Y ) }.
% 0.74/1.15 parent0[1, 2]: (397) {G2,W9,D2,L3,V3,M2} R(152,14) { alpha13( X, Y ), !
% 0.74/1.15 alpha15( Z, Y ), ! alpha15( X, Y ) }.
% 0.74/1.15 substitution0:
% 0.74/1.15 X := X
% 0.74/1.15 Y := Y
% 0.74/1.15 Z := X
% 0.74/1.15 end
% 0.74/1.15
% 0.74/1.15 subsumption: (398) {G3,W6,D2,L2,V2,M1} F(397) { alpha13( X, Y ), ! alpha15
% 0.74/1.15 ( X, Y ) }.
% 0.74/1.15 parent0: (829) {G2,W6,D2,L2,V2,M2} { alpha13( X, Y ), ! alpha15( X, Y )
% 0.74/1.15 }.
% 0.74/1.15 substitution0:
% 0.74/1.15 X := X
% 0.74/1.15 Y := Y
% 0.74/1.15 end
% 0.74/1.15 permutation0:
% 0.74/1.15 0 ==> 0
% 0.74/1.15 1 ==> 1
% 0.74/1.15 end
% 0.74/1.15
% 0.74/1.15 resolution: (830) {G1,W6,D3,L2,V1,M2} { alpha13( X, skol2( X ) ), !
% 0.74/1.15 alpha14( X ) }.
% 0.74/1.15 parent0[1]: (398) {G3,W6,D2,L2,V2,M1} F(397) { alpha13( X, Y ), ! alpha15(
% 0.74/1.15 X, Y ) }.
% 0.74/1.15 parent1[1]: (12) {G0,W6,D3,L2,V1,M1} I { ! alpha14( X ), alpha15( X, skol2
% 0.74/1.15 ( X ) ) }.
% 0.74/1.15 substitution0:
% 0.74/1.15 X := X
% 0.74/1.15 Y := skol2( X )
% 0.74/1.15 end
% 0.74/1.15 substitution1:
% 0.74/1.15 X := X
% 0.74/1.15 end
% 0.74/1.15
% 0.74/1.15 subsumption: (399) {G4,W6,D3,L2,V1,M1} R(398,12) { ! alpha14( X ), alpha13
% 0.74/1.15 ( X, skol2( X ) ) }.
% 0.74/1.15 parent0: (830) {G1,W6,D3,L2,V1,M2} { alpha13( X, skol2( X ) ), ! alpha14(
% 0.74/1.15 X ) }.
% 0.74/1.15 substitution0:
% 0.74/1.15 X := X
% 0.74/1.15 end
% 0.74/1.15 permutation0:
% 0.74/1.15 0 ==> 1
% 0.74/1.15 1 ==> 0
% 0.74/1.15 end
% 0.74/1.15
% 0.74/1.15 resolution: (831) {G1,W7,D3,L3,V1,M3} { ! big_p( skol2( X ) ), alpha9( X )
% 0.74/1.15 , ! alpha14( X ) }.
% 0.74/1.15 parent0[2]: (28) {G0,W7,D2,L3,V2,M1} I { ! big_p( Y ), alpha9( X ), !
% 0.74/1.15 alpha13( X, Y ) }.
% 0.74/1.15 parent1[1]: (399) {G4,W6,D3,L2,V1,M1} R(398,12) { ! alpha14( X ), alpha13(
% 0.74/1.15 X, skol2( X ) ) }.
% 0.74/1.15 substitution0:
% 0.74/1.15 X := X
% 0.74/1.15 Y := skol2( X )
% 0.74/1.15 end
% 0.74/1.15 substitution1:
% 0.74/1.15 X := X
% 0.74/1.15 end
% 0.74/1.15
% 0.74/1.15 subsumption: (404) {G5,W7,D3,L3,V1,M1} R(399,28) { ! alpha14( X ), alpha9(
% 0.74/1.15 X ), ! big_p( skol2( X ) ) }.
% 0.74/1.15 parent0: (831) {G1,W7,D3,L3,V1,M3} { ! big_p( skol2( X ) ), alpha9( X ), !
% 0.74/1.15 alpha14( X ) }.
% 0.74/1.15 substitution0:
% 0.74/1.15 X := X
% 0.74/1.15 end
% 0.74/1.15 permutation0:
% 0.74/1.15 0 ==> 2
% 0.74/1.15 1 ==> 1
% 0.74/1.15 2 ==> 0
% 0.74/1.15 end
% 0.74/1.15
% 0.74/1.15 resolution: (832) {G1,W6,D2,L3,V2,M3} { ! alpha14( X ), alpha9( X ), !
% 0.74/1.15 alpha14( Y ) }.
% 0.74/1.15 parent0[2]: (404) {G5,W7,D3,L3,V1,M1} R(399,28) { ! alpha14( X ), alpha9( X
% 0.74/1.15 ), ! big_p( skol2( X ) ) }.
% 0.74/1.15 parent1[1]: (11) {G0,W5,D3,L2,V2,M1} I { ! alpha14( X ), big_p( skol2( Y )
% 0.74/1.15 ) }.
% 0.74/1.15 substitution0:
% 0.74/1.15 X := X
% 0.74/1.15 end
% 0.74/1.15 substitution1:
% 0.74/1.15 X := Y
% 0.74/1.15 Y := X
% 0.74/1.15 end
% 0.74/1.15
% 0.74/1.15 subsumption: (406) {G6,W6,D2,L3,V2,M1} R(404,11) { ! alpha14( X ), !
% 0.74/1.15 alpha14( Y ), alpha9( X ) }.
% 0.74/1.15 parent0: (832) {G1,W6,D2,L3,V2,M3} { ! alpha14( X ), alpha9( X ), !
% 0.74/1.15 alpha14( Y ) }.
% 0.74/1.15 substitution0:
% 0.74/1.15 X := X
% 0.74/1.15 Y := X
% 0.74/1.15 end
% 0.74/1.15 permutation0:
% 0.74/1.15 0 ==> 0
% 0.74/1.15 1 ==> 2
% 0.74/1.15 2 ==> 0
% 0.74/1.15 end
% 0.74/1.15
% 0.74/1.15 factor: (834) {G6,W4,D2,L2,V1,M2} { ! alpha14( X ), alpha9( X ) }.
% 0.74/1.15 parent0[0, 1]: (406) {G6,W6,D2,L3,V2,M1} R(404,11) { ! alpha14( X ), !
% 0.74/1.15 alpha14( Y ), alpha9( X ) }.
% 0.74/1.15 substitution0:
% 0.74/1.15 X := X
% 0.74/1.15 Y := X
% 0.74/1.15 end
% 0.74/1.15
% 0.74/1.15 subsumption: (407) {G7,W4,D2,L2,V1,M1} F(406) { ! alpha14( X ), alpha9( X )
% 0.74/1.15 }.
% 0.74/1.15 parent0: (834) {G6,W4,D2,L2,V1,M2} { ! alpha14( X ), alpha9( X ) }.
% 0.74/1.15 substitution0:
% 0.74/1.15 X := X
% 0.74/1.15 end
% 0.74/1.15 permutation0:
% 0.74/1.15 0 ==> 0
% 0.74/1.15 1 ==> 1
% 0.74/1.15 end
% 0.74/1.15
% 0.74/1.15 resolution: (835) {G1,W9,D2,L3,V3,M3} { ! alpha10( X, Y ), alpha13( Z, Y )
% 0.74/1.15 , ! alpha10( Z, Y ) }.
% 0.74/1.15 parent0[2]: (159) {G1,W11,D3,L3,V4,M1} R(38,31) { ! alpha10( X, Y ),
% 0.74/1.15 alpha13( Z, Y ), ! big_r( Z, skol9( T, Y ) ) }.
% 0.74/1.15 parent1[1]: (39) {G0,W8,D3,L2,V2,M1} I { ! alpha10( X, Y ), big_r( X, skol9
% 0.74/1.15 ( X, Y ) ) }.
% 0.74/1.15 substitution0:
% 0.74/1.15 X := X
% 0.74/1.15 Y := Y
% 0.74/1.15 Z := Z
% 0.74/1.15 T := Z
% 0.74/1.15 end
% 0.74/1.15 substitution1:
% 0.74/1.15 X := Z
% 0.74/1.15 Y := Y
% 0.74/1.15 end
% 0.74/1.15
% 0.74/1.15 subsumption: (454) {G2,W9,D2,L3,V3,M1} R(159,39) { ! alpha10( X, Y ), !
% 0.74/1.15 alpha10( Z, Y ), alpha13( Z, Y ) }.
% 0.74/1.15 parent0: (835) {G1,W9,D2,L3,V3,M3} { ! alpha10( X, Y ), alpha13( Z, Y ), !
% 0.74/1.15 alpha10( Z, Y ) }.
% 0.74/1.15 substitution0:
% 0.74/1.15 X := X
% 0.74/1.15 Y := Y
% 0.74/1.15 Z := Z
% 0.74/1.15 end
% 0.74/1.15 permutation0:
% 0.74/1.15 0 ==> 0
% 0.74/1.15 1 ==> 2
% 0.74/1.15 2 ==> 1
% 0.74/1.15 end
% 0.74/1.15
% 0.74/1.15 factor: (837) {G2,W6,D2,L2,V2,M2} { ! alpha10( X, Y ), alpha13( X, Y ) }.
% 0.74/1.15 parent0[0, 1]: (454) {G2,W9,D2,L3,V3,M1} R(159,39) { ! alpha10( X, Y ), !
% 0.74/1.15 alpha10( Z, Y ), alpha13( Z, Y ) }.
% 0.74/1.15 substitution0:
% 0.74/1.15 X := X
% 0.74/1.15 Y := Y
% 0.74/1.15 Z := X
% 0.74/1.15 end
% 0.74/1.15
% 0.74/1.15 subsumption: (455) {G3,W6,D2,L2,V2,M1} F(454) { ! alpha10( X, Y ), alpha13
% 0.74/1.15 ( X, Y ) }.
% 0.74/1.15 parent0: (837) {G2,W6,D2,L2,V2,M2} { ! alpha10( X, Y ), alpha13( X, Y )
% 0.74/1.15 }.
% 0.74/1.15 substitution0:
% 0.74/1.15 X := X
% 0.74/1.15 Y := Y
% 0.74/1.15 end
% 0.74/1.15 permutation0:
% 0.74/1.15 0 ==> 0
% 0.74/1.15 1 ==> 1
% 0.74/1.15 end
% 0.74/1.15
% 0.74/1.15 resolution: (838) {G1,W7,D2,L3,V2,M3} { ! big_p( X ), alpha9( Y ), !
% 0.74/1.15 alpha10( Y, X ) }.
% 0.74/1.15 parent0[2]: (28) {G0,W7,D2,L3,V2,M1} I { ! big_p( Y ), alpha9( X ), !
% 0.74/1.15 alpha13( X, Y ) }.
% 0.74/1.15 parent1[1]: (455) {G3,W6,D2,L2,V2,M1} F(454) { ! alpha10( X, Y ), alpha13(
% 0.74/1.15 X, Y ) }.
% 0.74/1.15 substitution0:
% 0.74/1.15 X := Y
% 0.74/1.15 Y := X
% 0.74/1.15 end
% 0.74/1.15 substitution1:
% 0.74/1.15 X := Y
% 0.74/1.15 Y := X
% 0.74/1.15 end
% 0.74/1.15
% 0.74/1.15 subsumption: (465) {G4,W7,D2,L3,V2,M1} R(455,28) { ! big_p( Y ), alpha9( X
% 0.74/1.15 ), ! alpha10( X, Y ) }.
% 0.74/1.15 parent0: (838) {G1,W7,D2,L3,V2,M3} { ! big_p( X ), alpha9( Y ), ! alpha10
% 0.74/1.15 ( Y, X ) }.
% 0.74/1.15 substitution0:
% 0.74/1.15 X := Y
% 0.74/1.15 Y := X
% 0.74/1.15 end
% 0.74/1.15 permutation0:
% 0.74/1.15 0 ==> 0
% 0.74/1.15 1 ==> 1
% 0.74/1.15 2 ==> 2
% 0.74/1.15 end
% 0.74/1.15
% 0.74/1.15 resolution: (839) {G1,W7,D3,L3,V1,M3} { ! big_p( skol8( X ) ), alpha9( X )
% 0.74/1.15 , ! alpha6( X ) }.
% 0.74/1.15 parent0[2]: (465) {G4,W7,D2,L3,V2,M1} R(455,28) { ! big_p( Y ), alpha9( X )
% 0.74/1.15 , ! alpha10( X, Y ) }.
% 0.74/1.15 parent1[1]: (36) {G0,W6,D3,L2,V1,M1} I { ! alpha6( X ), alpha10( X, skol8(
% 0.74/1.15 X ) ) }.
% 0.74/1.15 substitution0:
% 0.74/1.15 X := X
% 0.74/1.15 Y := skol8( X )
% 0.74/1.15 end
% 0.74/1.15 substitution1:
% 0.74/1.15 X := X
% 0.74/1.15 end
% 0.74/1.15
% 0.74/1.15 subsumption: (467) {G5,W7,D3,L3,V1,M1} R(465,36) { alpha9( X ), ! alpha6( X
% 0.74/1.15 ), ! big_p( skol8( X ) ) }.
% 0.74/1.15 parent0: (839) {G1,W7,D3,L3,V1,M3} { ! big_p( skol8( X ) ), alpha9( X ), !
% 0.74/1.15 alpha6( X ) }.
% 0.74/1.15 substitution0:
% 0.74/1.15 X := X
% 0.74/1.15 end
% 0.74/1.15 permutation0:
% 0.74/1.15 0 ==> 2
% 0.74/1.15 1 ==> 0
% 0.74/1.15 2 ==> 1
% 0.74/1.15 end
% 0.74/1.15
% 0.74/1.15 resolution: (840) {G1,W6,D2,L3,V2,M3} { alpha9( X ), ! alpha6( X ), !
% 0.74/1.15 alpha6( Y ) }.
% 0.74/1.15 parent0[2]: (467) {G5,W7,D3,L3,V1,M1} R(465,36) { alpha9( X ), ! alpha6( X
% 0.74/1.15 ), ! big_p( skol8( X ) ) }.
% 0.74/1.15 parent1[1]: (35) {G0,W5,D3,L2,V2,M1} I { ! alpha6( X ), big_p( skol8( Y ) )
% 0.74/1.15 }.
% 0.74/1.15 substitution0:
% 0.74/1.15 X := X
% 0.74/1.15 end
% 0.74/1.15 substitution1:
% 0.74/1.15 X := Y
% 0.74/1.15 Y := X
% 0.74/1.15 end
% 0.74/1.15
% 0.74/1.15 subsumption: (469) {G6,W6,D2,L3,V2,M1} R(467,35) { ! alpha6( X ), ! alpha6
% 0.74/1.15 ( Y ), alpha9( X ) }.
% 0.74/1.15 parent0: (840) {G1,W6,D2,L3,V2,M3} { alpha9( X ), ! alpha6( X ), ! alpha6
% 0.74/1.15 ( Y ) }.
% 0.74/1.15 substitution0:
% 0.74/1.15 X := X
% 0.74/1.15 Y := X
% 0.74/1.15 end
% 0.74/1.15 permutation0:
% 0.74/1.15 0 ==> 2
% 0.74/1.15 1 ==> 0
% 0.74/1.15 2 ==> 0
% 0.74/1.15 end
% 0.74/1.15
% 0.74/1.15 factor: (842) {G6,W4,D2,L2,V1,M2} { ! alpha6( X ), alpha9( X ) }.
% 0.74/1.15 parent0[0, 1]: (469) {G6,W6,D2,L3,V2,M1} R(467,35) { ! alpha6( X ), !
% 0.74/1.15 alpha6( Y ), alpha9( X ) }.
% 0.74/1.15 substitution0:
% 0.74/1.15 X := X
% 0.74/1.15 Y := X
% 0.74/1.15 end
% 0.74/1.15
% 0.74/1.15 subsumption: (470) {G7,W4,D2,L2,V1,M1} F(469) { ! alpha6( X ), alpha9( X )
% 0.74/1.15 }.
% 0.74/1.15 parent0: (842) {G6,W4,D2,L2,V1,M2} { ! alpha6( X ), alpha9( X ) }.
% 0.74/1.15 substitution0:
% 0.74/1.15 X := X
% 0.74/1.15 end
% 0.74/1.15 permutation0:
% 0.74/1.15 0 ==> 0
% 0.74/1.15 1 ==> 1
% 0.74/1.15 end
% 0.74/1.15
% 0.74/1.15 resolution: (843) {G8,W4,D2,L2,V1,M2} { alpha14( X ), ! alpha6( X ) }.
% 0.74/1.15 parent0[1]: (326) {G7,W4,D2,L2,V1,M1} F(325) { alpha14( X ), ! alpha9( X )
% 0.74/1.15 }.
% 0.74/1.15 parent1[1]: (470) {G7,W4,D2,L2,V1,M1} F(469) { ! alpha6( X ), alpha9( X )
% 0.74/1.15 }.
% 0.74/1.15 substitution0:
% 0.74/1.15 X := X
% 0.74/1.15 end
% 0.74/1.15 substitution1:
% 0.74/1.15 X := X
% 0.74/1.15 end
% 0.74/1.15
% 0.74/1.15 subsumption: (476) {G8,W4,D2,L2,V1,M1} R(470,326) { alpha14( X ), ! alpha6
% 0.74/1.15 ( X ) }.
% 0.74/1.15 parent0: (843) {G8,W4,D2,L2,V1,M2} { alpha14( X ), ! alpha6( X ) }.
% 0.74/1.15 substitution0:
% 0.74/1.15 X := X
% 0.74/1.15 end
% 0.74/1.15 permutation0:
% 0.74/1.15 0 ==> 0
% 0.74/1.15 1 ==> 1
% 0.74/1.15 end
% 0.74/1.15
% 0.74/1.15 resolution: (844) {G1,W4,D2,L2,V1,M2} { alpha5( X ), ! alpha6( X ) }.
% 0.74/1.15 parent0[1]: (25) {G0,W4,D2,L2,V1,M1} I { alpha5( X ), ! alpha9( X ) }.
% 0.74/1.15 parent1[1]: (470) {G7,W4,D2,L2,V1,M1} F(469) { ! alpha6( X ), alpha9( X )
% 0.74/1.15 }.
% 0.74/1.15 substitution0:
% 0.74/1.15 X := X
% 0.74/1.15 end
% 0.74/1.15 substitution1:
% 0.74/1.15 X := X
% 0.74/1.15 end
% 0.74/1.15
% 0.74/1.15 subsumption: (479) {G8,W4,D2,L2,V1,M1} R(470,25) { alpha5( X ), ! alpha6( X
% 0.74/1.15 ) }.
% 0.74/1.15 parent0: (844) {G1,W4,D2,L2,V1,M2} { alpha5( X ), ! alpha6( X ) }.
% 0.74/1.15 substitution0:
% 0.74/1.15 X := X
% 0.74/1.15 end
% 0.74/1.15 permutation0:
% 0.74/1.15 0 ==> 0
% 0.74/1.15 1 ==> 1
% 0.74/1.15 end
% 0.74/1.15
% 0.74/1.15 resolution: (845) {G1,W9,D2,L3,V3,M3} { alpha10( X, Y ), ! alpha13( X, Y )
% 0.74/1.15 , ! alpha13( Z, Y ) }.
% 0.74/1.15 parent0[2]: (180) {G1,W11,D3,L3,V3,M1} R(40,30) { alpha10( X, Y ), !
% 0.74/1.15 alpha13( X, Z ), ! big_r( skol6( X, Z ), Y ) }.
% 0.74/1.15 parent1[1]: (29) {G0,W8,D3,L2,V3,M1} I { ! alpha13( X, Y ), big_r( skol6( Z
% 0.74/1.15 , Y ), Y ) }.
% 0.74/1.15 substitution0:
% 0.74/1.15 X := X
% 0.74/1.15 Y := Y
% 0.74/1.15 Z := Y
% 0.74/1.15 end
% 0.74/1.15 substitution1:
% 0.74/1.15 X := Z
% 0.74/1.15 Y := Y
% 0.74/1.15 Z := X
% 0.74/1.15 end
% 0.74/1.15
% 0.74/1.15 subsumption: (595) {G2,W9,D2,L3,V3,M2} R(180,29) { alpha10( X, Y ), !
% 0.74/1.15 alpha13( Z, Y ), ! alpha13( X, Y ) }.
% 0.74/1.15 parent0: (845) {G1,W9,D2,L3,V3,M3} { alpha10( X, Y ), ! alpha13( X, Y ), !
% 0.74/1.15 alpha13( Z, Y ) }.
% 0.74/1.15 substitution0:
% 0.74/1.15 X := X
% 0.74/1.15 Y := Y
% 0.74/1.15 Z := Z
% 0.74/1.15 end
% 0.74/1.15 permutation0:
% 0.74/1.15 0 ==> 0
% 0.74/1.15 1 ==> 2
% 0.74/1.15 2 ==> 1
% 0.74/1.15 end
% 0.74/1.15
% 0.74/1.15 factor: (847) {G2,W6,D2,L2,V2,M2} { alpha10( X, Y ), ! alpha13( X, Y ) }.
% 0.74/1.15 parent0[1, 2]: (595) {G2,W9,D2,L3,V3,M2} R(180,29) { alpha10( X, Y ), !
% 0.74/1.15 alpha13( Z, Y ), ! alpha13( X, Y ) }.
% 0.74/1.15 substitution0:
% 0.74/1.15 X := X
% 0.74/1.15 Y := Y
% 0.74/1.15 Z := X
% 0.74/1.15 end
% 0.74/1.15
% 0.74/1.15 subsumption: (597) {G3,W6,D2,L2,V2,M1} F(595) { alpha10( X, Y ), ! alpha13
% 0.74/1.15 ( X, Y ) }.
% 0.74/1.15 parent0: (847) {G2,W6,D2,L2,V2,M2} { alpha10( X, Y ), ! alpha13( X, Y )
% 0.74/1.15 }.
% 0.74/1.15 substitution0:
% 0.74/1.15 X := X
% 0.74/1.15 Y := Y
% 0.74/1.15 end
% 0.74/1.15 permutation0:
% 0.74/1.15 0 ==> 0
% 0.74/1.15 1 ==> 1
% 0.74/1.15 end
% 0.74/1.15
% 0.74/1.15 resolution: (848) {G1,W6,D3,L2,V1,M2} { alpha10( X, skol5( X ) ), ! alpha9
% 0.74/1.15 ( X ) }.
% 0.74/1.15 parent0[1]: (597) {G3,W6,D2,L2,V2,M1} F(595) { alpha10( X, Y ), ! alpha13(
% 0.74/1.15 X, Y ) }.
% 0.74/1.15 parent1[1]: (27) {G0,W6,D3,L2,V1,M1} I { ! alpha9( X ), alpha13( X, skol5(
% 0.74/1.15 X ) ) }.
% 0.74/1.15 substitution0:
% 0.74/1.15 X := X
% 0.74/1.15 Y := skol5( X )
% 0.74/1.15 end
% 0.74/1.15 substitution1:
% 0.74/1.15 X := X
% 0.74/1.15 end
% 0.74/1.15
% 0.74/1.15 subsumption: (599) {G4,W6,D3,L2,V1,M1} R(597,27) { ! alpha9( X ), alpha10(
% 0.74/1.15 X, skol5( X ) ) }.
% 0.74/1.15 parent0: (848) {G1,W6,D3,L2,V1,M2} { alpha10( X, skol5( X ) ), ! alpha9( X
% 0.74/1.15 ) }.
% 0.74/1.15 substitution0:
% 0.74/1.15 X := X
% 0.74/1.15 end
% 0.74/1.15 permutation0:
% 0.74/1.15 0 ==> 1
% 0.74/1.15 1 ==> 0
% 0.74/1.15 end
% 0.74/1.15
% 0.74/1.15 resolution: (849) {G1,W7,D3,L3,V1,M3} { ! big_p( skol5( X ) ), alpha6( X )
% 0.74/1.15 , ! alpha9( X ) }.
% 0.74/1.15 parent0[2]: (37) {G0,W7,D2,L3,V2,M1} I { ! big_p( Y ), alpha6( X ), !
% 0.74/1.15 alpha10( X, Y ) }.
% 0.74/1.15 parent1[1]: (599) {G4,W6,D3,L2,V1,M1} R(597,27) { ! alpha9( X ), alpha10( X
% 0.74/1.15 , skol5( X ) ) }.
% 0.74/1.15 substitution0:
% 0.74/1.15 X := X
% 0.74/1.15 Y := skol5( X )
% 0.74/1.15 end
% 0.74/1.15 substitution1:
% 0.74/1.15 X := X
% 0.74/1.15 end
% 0.74/1.15
% 0.74/1.15 subsumption: (609) {G5,W7,D3,L3,V1,M1} R(599,37) { ! alpha9( X ), alpha6( X
% 0.74/1.15 ), ! big_p( skol5( X ) ) }.
% 0.74/1.15 parent0: (849) {G1,W7,D3,L3,V1,M3} { ! big_p( skol5( X ) ), alpha6( X ), !
% 0.74/1.15 alpha9( X ) }.
% 0.74/1.15 substitution0:
% 0.74/1.15 X := X
% 0.74/1.15 end
% 0.74/1.15 permutation0:
% 0.74/1.15 0 ==> 2
% 0.74/1.15 1 ==> 1
% 0.74/1.15 2 ==> 0
% 0.74/1.15 end
% 0.74/1.15
% 0.74/1.15 resolution: (850) {G1,W6,D2,L3,V2,M3} { ! alpha9( X ), alpha6( X ), !
% 0.74/1.15 alpha9( Y ) }.
% 0.74/1.15 parent0[2]: (609) {G5,W7,D3,L3,V1,M1} R(599,37) { ! alpha9( X ), alpha6( X
% 0.74/1.15 ), ! big_p( skol5( X ) ) }.
% 0.74/1.15 parent1[1]: (26) {G0,W5,D3,L2,V2,M1} I { ! alpha9( X ), big_p( skol5( Y ) )
% 0.74/1.15 }.
% 0.74/1.15 substitution0:
% 0.74/1.15 X := X
% 0.74/1.15 end
% 0.74/1.15 substitution1:
% 0.74/1.15 X := Y
% 0.74/1.15 Y := X
% 0.74/1.15 end
% 0.74/1.15
% 0.74/1.15 subsumption: (611) {G6,W6,D2,L3,V2,M2} R(609,26) { alpha6( X ), ! alpha9( Y
% 0.74/1.15 ), ! alpha9( X ) }.
% 0.74/1.15 parent0: (850) {G1,W6,D2,L3,V2,M3} { ! alpha9( X ), alpha6( X ), ! alpha9
% 0.74/1.15 ( Y ) }.
% 0.74/1.15 substitution0:
% 0.74/1.15 X := X
% 0.74/1.15 Y := Y
% 0.74/1.15 end
% 0.74/1.15 permutation0:
% 0.74/1.15 0 ==> 2
% 0.74/1.15 1 ==> 0
% 0.74/1.15 2 ==> 1
% 0.74/1.15 end
% 0.74/1.15
% 0.74/1.15 factor: (852) {G6,W4,D2,L2,V1,M2} { alpha6( X ), ! alpha9( X ) }.
% 0.74/1.15 parent0[1, 2]: (611) {G6,W6,D2,L3,V2,M2} R(609,26) { alpha6( X ), ! alpha9
% 0.74/1.15 ( Y ), ! alpha9( X ) }.
% 0.74/1.15 substitution0:
% 0.74/1.15 X := X
% 0.74/1.15 Y := X
% 0.74/1.15 end
% 0.74/1.15
% 0.74/1.15 subsumption: (612) {G7,W4,D2,L2,V1,M1} F(611) { alpha6( X ), ! alpha9( X )
% 0.74/1.15 }.
% 0.74/1.15 parent0: (852) {G6,W4,D2,L2,V1,M2} { alpha6( X ), ! alpha9( X ) }.
% 0.74/1.15 substitution0:
% 0.74/1.15 X := X
% 0.74/1.15 end
% 0.74/1.15 permutation0:
% 0.74/1.15 0 ==> 0
% 0.74/1.15 1 ==> 1
% 0.74/1.15 end
% 0.74/1.15
% 0.74/1.15 resolution: (853) {G8,W4,D2,L2,V1,M2} { alpha6( X ), ! alpha14( X ) }.
% 0.74/1.15 parent0[1]: (612) {G7,W4,D2,L2,V1,M1} F(611) { alpha6( X ), ! alpha9( X )
% 0.74/1.15 }.
% 0.74/1.15 parent1[1]: (407) {G7,W4,D2,L2,V1,M1} F(406) { ! alpha14( X ), alpha9( X )
% 0.74/1.15 }.
% 0.74/1.15 substitution0:
% 0.74/1.15 X := X
% 0.74/1.15 end
% 0.74/1.15 substitution1:
% 0.74/1.15 X := X
% 0.74/1.15 end
% 0.74/1.15
% 0.74/1.15 subsumption: (617) {G8,W4,D2,L2,V1,M1} R(612,407) { ! alpha14( X ), alpha6
% 0.74/1.15 ( X ) }.
% 0.74/1.15 parent0: (853) {G8,W4,D2,L2,V1,M2} { alpha6( X ), ! alpha14( X ) }.
% 0.74/1.15 substitution0:
% 0.74/1.15 X := X
% 0.74/1.15 end
% 0.74/1.15 permutation0:
% 0.74/1.15 0 ==> 1
% 0.74/1.15 1 ==> 0
% 0.74/1.15 end
% 0.74/1.15
% 0.74/1.15 resolution: (854) {G1,W3,D2,L2,V0,M2} { alpha1, ! alpha14( skol7 ) }.
% 0.74/1.15 parent0[1]: (34) {G0,W3,D2,L2,V0,M1} I { alpha1, ! alpha6( skol7 ) }.
% 0.74/1.15 parent1[1]: (617) {G8,W4,D2,L2,V1,M1} R(612,407) { ! alpha14( X ), alpha6(
% 0.74/1.15 X ) }.
% 0.74/1.15 substitution0:
% 0.74/1.15 end
% 0.74/1.15 substitution1:
% 0.74/1.15 X := skol7
% 0.74/1.15 end
% 0.74/1.15
% 0.74/1.15 subsumption: (624) {G9,W3,D2,L2,V0,M1} R(617,34) { alpha1, ! alpha14( skol7
% 0.74/1.15 ) }.
% 0.74/1.15 parent0: (854) {G1,W3,D2,L2,V0,M2} { alpha1, ! alpha14( skol7 ) }.
% 0.74/1.15 substitution0:
% 0.74/1.15 end
% 0.74/1.15 permutation0:
% 0.74/1.15 0 ==> 0
% 0.74/1.15 1 ==> 1
% 0.74/1.15 end
% 0.74/1.15
% 0.74/1.15 resolution: (855) {G10,W4,D2,L3,V0,M3} { alpha1, alpha11( skol7 ), alpha16
% 0.74/1.15 }.
% 0.74/1.15 parent0[1]: (624) {G9,W3,D2,L2,V0,M1} R(617,34) { alpha1, ! alpha14( skol7
% 0.74/1.16 ) }.
% 0.74/1.16 parent1[2]: (341) {G13,W5,D2,L3,V0,M1} R(340,0);r(2) { alpha11( skol7 ),
% 0.74/1.16 alpha16, alpha14( skol7 ) }.
% 0.74/1.16 substitution0:
% 0.74/1.16 end
% 0.74/1.16 substitution1:
% 0.74/1.16 end
% 0.74/1.16
% 0.74/1.16 resolution: (856) {G1,W4,D2,L3,V0,M3} { alpha16, alpha11( skol7 ), alpha16
% 0.74/1.16 }.
% 0.74/1.16 parent0[1]: (2) {G0,W2,D1,L2,V0,M1} I { alpha16, ! alpha1 }.
% 0.74/1.16 parent1[0]: (855) {G10,W4,D2,L3,V0,M3} { alpha1, alpha11( skol7 ), alpha16
% 0.74/1.16 }.
% 0.74/1.16 substitution0:
% 0.74/1.16 end
% 0.74/1.16 substitution1:
% 0.74/1.16 end
% 0.74/1.16
% 0.74/1.16 factor: (857) {G1,W3,D2,L2,V0,M2} { alpha16, alpha11( skol7 ) }.
% 0.74/1.16 parent0[0, 2]: (856) {G1,W4,D2,L3,V0,M3} { alpha16, alpha11( skol7 ),
% 0.74/1.16 alpha16 }.
% 0.74/1.16 substitution0:
% 0.74/1.16 end
% 0.74/1.16
% 0.74/1.16 subsumption: (625) {G14,W3,D2,L2,V0,M1} R(624,341);r(2) { alpha16, alpha11
% 0.74/1.16 ( skol7 ) }.
% 0.74/1.16 parent0: (857) {G1,W3,D2,L2,V0,M2} { alpha16, alpha11( skol7 ) }.
% 0.74/1.16 substitution0:
% 0.74/1.16 end
% 0.74/1.16 permutation0:
% 0.74/1.16 0 ==> 0
% 0.74/1.16 1 ==> 1
% 0.74/1.16 end
% 0.74/1.16
% 0.74/1.16 resolution: (858) {G5,W4,D2,L3,V0,M3} { alpha1, alpha12( skol7 ), alpha1
% 0.74/1.16 }.
% 0.74/1.16 parent0[1]: (624) {G9,W3,D2,L2,V0,M1} R(617,34) { alpha1, ! alpha14( skol7
% 0.74/1.16 ) }.
% 0.74/1.16 parent1[2]: (157) {G4,W5,D2,L3,V1,M1} R(143,33);r(3) { alpha12( X ), alpha1
% 0.74/1.16 , alpha14( X ) }.
% 0.74/1.16 substitution0:
% 0.74/1.16 end
% 0.74/1.16 substitution1:
% 0.74/1.16 X := skol7
% 0.74/1.16 end
% 0.74/1.16
% 0.74/1.16 factor: (859) {G5,W3,D2,L2,V0,M2} { alpha1, alpha12( skol7 ) }.
% 0.74/1.16 parent0[0, 2]: (858) {G5,W4,D2,L3,V0,M3} { alpha1, alpha12( skol7 ),
% 0.74/1.16 alpha1 }.
% 0.74/1.16 substitution0:
% 0.74/1.16 end
% 0.74/1.16
% 0.74/1.16 subsumption: (626) {G10,W3,D2,L2,V0,M1} R(624,157);f { alpha1, alpha12(
% 0.74/1.16 skol7 ) }.
% 0.74/1.16 parent0: (859) {G5,W3,D2,L2,V0,M2} { alpha1, alpha12( skol7 ) }.
% 0.74/1.16 substitution0:
% 0.74/1.16 end
% 0.74/1.16 permutation0:
% 0.74/1.16 0 ==> 0
% 0.74/1.16 1 ==> 1
% 0.74/1.16 end
% 0.74/1.16
% 0.74/1.16 resolution: (860) {G4,W3,D2,L2,V0,M2} { ! alpha11( skol7 ), alpha1 }.
% 0.74/1.16 parent0[1]: (142) {G3,W4,D2,L2,V1,M1} F(141) { ! alpha11( X ), ! alpha12( X
% 0.74/1.16 ) }.
% 0.74/1.16 parent1[1]: (626) {G10,W3,D2,L2,V0,M1} R(624,157);f { alpha1, alpha12(
% 0.74/1.16 skol7 ) }.
% 0.74/1.16 substitution0:
% 0.74/1.16 X := skol7
% 0.74/1.16 end
% 0.74/1.16 substitution1:
% 0.74/1.16 end
% 0.74/1.16
% 0.74/1.16 subsumption: (630) {G11,W3,D2,L2,V0,M1} R(626,142) { alpha1, ! alpha11(
% 0.74/1.16 skol7 ) }.
% 0.74/1.16 parent0: (860) {G4,W3,D2,L2,V0,M2} { ! alpha11( skol7 ), alpha1 }.
% 0.74/1.16 substitution0:
% 0.74/1.16 end
% 0.74/1.16 permutation0:
% 0.74/1.16 0 ==> 1
% 0.74/1.16 1 ==> 0
% 0.74/1.16 end
% 0.74/1.16
% 0.74/1.16 resolution: (861) {G12,W2,D1,L2,V0,M2} { alpha1, alpha16 }.
% 0.74/1.16 parent0[1]: (630) {G11,W3,D2,L2,V0,M1} R(626,142) { alpha1, ! alpha11(
% 0.74/1.16 skol7 ) }.
% 0.74/1.16 parent1[1]: (625) {G14,W3,D2,L2,V0,M1} R(624,341);r(2) { alpha16, alpha11(
% 0.74/1.16 skol7 ) }.
% 0.74/1.16 substitution0:
% 0.74/1.16 end
% 0.74/1.16 substitution1:
% 0.74/1.16 end
% 0.74/1.16
% 0.74/1.16 resolution: (862) {G1,W2,D1,L2,V0,M2} { alpha16, alpha16 }.
% 0.74/1.16 parent0[1]: (2) {G0,W2,D1,L2,V0,M1} I { alpha16, ! alpha1 }.
% 0.74/1.16 parent1[0]: (861) {G12,W2,D1,L2,V0,M2} { alpha1, alpha16 }.
% 0.74/1.16 substitution0:
% 0.74/1.16 end
% 0.74/1.16 substitution1:
% 0.74/1.16 end
% 0.74/1.16
% 0.74/1.16 factor: (863) {G1,W1,D1,L1,V0,M1} { alpha16 }.
% 0.74/1.16 parent0[0, 1]: (862) {G1,W2,D1,L2,V0,M2} { alpha16, alpha16 }.
% 0.74/1.16 substitution0:
% 0.74/1.16 end
% 0.74/1.16
% 0.74/1.16 subsumption: (631) {G15,W1,D1,L1,V0,M1} R(630,625);r(2) { alpha16 }.
% 0.74/1.16 parent0: (863) {G1,W1,D1,L1,V0,M1} { alpha16 }.
% 0.74/1.16 substitution0:
% 0.74/1.16 end
% 0.74/1.16 permutation0:
% 0.74/1.16 0 ==> 0
% 0.74/1.16 end
% 0.74/1.16
% 0.74/1.16 resolution: (864) {G1,W4,D2,L2,V0,M2} { ! alpha2( skol1 ), ! alpha4( skol1
% 0.74/1.16 ) }.
% 0.74/1.16 parent0[2]: (4) {G0,W5,D2,L3,V0,M1} I { ! alpha2( skol1 ), ! alpha4( skol1
% 0.74/1.16 ), ! alpha16 }.
% 0.74/1.16 parent1[0]: (631) {G15,W1,D1,L1,V0,M1} R(630,625);r(2) { alpha16 }.
% 0.74/1.16 substitution0:
% 0.74/1.16 end
% 0.74/1.16 substitution1:
% 0.74/1.16 end
% 0.74/1.16
% 0.74/1.16 subsumption: (632) {G16,W4,D2,L2,V0,M1} R(631,4) { ! alpha2( skol1 ), !
% 0.74/1.16 alpha4( skol1 ) }.
% 0.74/1.16 parent0: (864) {G1,W4,D2,L2,V0,M2} { ! alpha2( skol1 ), ! alpha4( skol1 )
% 0.74/1.16 }.
% 0.74/1.16 substitution0:
% 0.74/1.16 end
% 0.74/1.16 permutation0:
% 0.74/1.16 0 ==> 0
% 0.74/1.16 1 ==> 1
% 0.74/1.16 end
% 0.74/1.16
% 0.74/1.16 resolution: (865) {G1,W1,D1,L1,V0,M1} { alpha1 }.
% 0.74/1.16 parent0[1]: (3) {G0,W2,D1,L2,V0,M1} I { alpha1, ! alpha16 }.
% 0.74/1.16 parent1[0]: (631) {G15,W1,D1,L1,V0,M1} R(630,625);r(2) { alpha16 }.
% 0.74/1.16 substitution0:
% 0.74/1.16 end
% 0.74/1.16 substitution1:
% 0.74/1.16 end
% 0.74/1.16
% 0.74/1.16 subsumption: (633) {G16,W1,D1,L1,V0,M1} R(631,3) { alpha1 }.
% 0.74/1.16 parent0: (865) {G1,W1,D1,L1,V0,M1} { alpha1 }.
% 0.74/1.16 substitution0:
% 0.74/1.16 end
% 0.74/1.16 permutation0:
% 0.74/1.16 0 ==> 0
% 0.74/1.16 end
% 0.74/1.16
% 0.74/1.16 resolution: (866) {G1,W4,D2,L2,V1,M2} { ! alpha3( X ), alpha6( X ) }.
% 0.74/1.16 parent0[2]: (32) {G0,W5,D2,L3,V1,M1} I { ! alpha3( X ), alpha6( X ), !
% 0.74/1.16 alpha1 }.
% 0.74/1.16 parent1[0]: (633) {G16,W1,D1,L1,V0,M1} R(631,3) { alpha1 }.
% 0.74/1.16 substitution0:
% 0.74/1.16 X := X
% 0.74/1.16 end
% 0.74/1.16 substitution1:
% 0.74/1.16 end
% 0.74/1.16
% 0.74/1.16 subsumption: (634) {G17,W4,D2,L2,V1,M1} R(633,32) { ! alpha3( X ), alpha6(
% 0.74/1.16 X ) }.
% 0.74/1.16 parent0: (866) {G1,W4,D2,L2,V1,M2} { ! alpha3( X ), alpha6( X ) }.
% 0.74/1.16 substitution0:
% 0.74/1.16 X := X
% 0.74/1.16 end
% 0.74/1.16 permutation0:
% 0.74/1.16 0 ==> 0
% 0.74/1.16 1 ==> 1
% 0.74/1.16 end
% 0.74/1.16
% 0.74/1.16 resolution: (867) {G9,W4,D2,L2,V1,M2} { alpha5( X ), ! alpha3( X ) }.
% 0.74/1.16 parent0[1]: (479) {G8,W4,D2,L2,V1,M1} R(470,25) { alpha5( X ), ! alpha6( X
% 0.74/1.16 ) }.
% 0.74/1.16 parent1[1]: (634) {G17,W4,D2,L2,V1,M1} R(633,32) { ! alpha3( X ), alpha6( X
% 0.74/1.16 ) }.
% 0.74/1.16 substitution0:
% 0.74/1.16 X := X
% 0.74/1.16 end
% 0.74/1.16 substitution1:
% 0.74/1.16 X := X
% 0.74/1.16 end
% 0.74/1.16
% 0.74/1.16 subsumption: (638) {G18,W4,D2,L2,V1,M1} R(634,479) { ! alpha3( X ), alpha5
% 0.74/1.16 ( X ) }.
% 0.74/1.16 parent0: (867) {G9,W4,D2,L2,V1,M2} { alpha5( X ), ! alpha3( X ) }.
% 0.74/1.16 substitution0:
% 0.74/1.16 X := X
% 0.74/1.16 end
% 0.74/1.16 permutation0:
% 0.74/1.16 0 ==> 1
% 0.74/1.16 1 ==> 0
% 0.74/1.16 end
% 0.74/1.16
% 0.74/1.16 resolution: (868) {G9,W4,D2,L2,V1,M2} { alpha14( X ), ! alpha3( X ) }.
% 0.74/1.16 parent0[1]: (476) {G8,W4,D2,L2,V1,M1} R(470,326) { alpha14( X ), ! alpha6(
% 0.74/1.16 X ) }.
% 0.74/1.16 parent1[1]: (634) {G17,W4,D2,L2,V1,M1} R(633,32) { ! alpha3( X ), alpha6( X
% 0.74/1.16 ) }.
% 0.74/1.16 substitution0:
% 0.74/1.16 X := X
% 0.74/1.16 end
% 0.74/1.16 substitution1:
% 0.74/1.16 X := X
% 0.74/1.16 end
% 0.74/1.16
% 0.74/1.16 subsumption: (639) {G18,W4,D2,L2,V1,M1} R(634,476) { alpha14( X ), ! alpha3
% 0.74/1.16 ( X ) }.
% 0.74/1.16 parent0: (868) {G9,W4,D2,L2,V1,M2} { alpha14( X ), ! alpha3( X ) }.
% 0.74/1.16 substitution0:
% 0.74/1.16 X := X
% 0.74/1.16 end
% 0.74/1.16 permutation0:
% 0.74/1.16 0 ==> 0
% 0.74/1.16 1 ==> 1
% 0.74/1.16 end
% 0.74/1.16
% 0.74/1.16 resolution: (869) {G1,W4,D2,L2,V1,M2} { alpha2( X ), ! alpha3( X ) }.
% 0.74/1.16 parent0[1]: (22) {G0,W4,D2,L2,V1,M1} I { alpha2( X ), ! alpha5( X ) }.
% 0.74/1.16 parent1[1]: (638) {G18,W4,D2,L2,V1,M1} R(634,479) { ! alpha3( X ), alpha5(
% 0.74/1.16 X ) }.
% 0.74/1.16 substitution0:
% 0.74/1.16 X := X
% 0.74/1.16 end
% 0.74/1.16 substitution1:
% 0.74/1.16 X := X
% 0.74/1.16 end
% 0.74/1.16
% 0.74/1.16 resolution: (870) {G2,W4,D2,L2,V1,M2} { alpha2( X ), alpha2( X ) }.
% 0.74/1.16 parent0[1]: (869) {G1,W4,D2,L2,V1,M2} { alpha2( X ), ! alpha3( X ) }.
% 0.74/1.16 parent1[1]: (105) {G4,W4,D2,L2,V1,M1} F(104) { alpha2( X ), alpha3( X ) }.
% 0.74/1.16 substitution0:
% 0.74/1.16 X := X
% 0.74/1.16 end
% 0.74/1.16 substitution1:
% 0.74/1.16 X := X
% 0.74/1.16 end
% 0.74/1.16
% 0.74/1.16 factor: (871) {G2,W2,D2,L1,V1,M1} { alpha2( X ) }.
% 0.74/1.16 parent0[0, 1]: (870) {G2,W4,D2,L2,V1,M2} { alpha2( X ), alpha2( X ) }.
% 0.74/1.16 substitution0:
% 0.74/1.16 X := X
% 0.74/1.16 end
% 0.74/1.16
% 0.74/1.16 subsumption: (645) {G19,W2,D2,L1,V1,M1} R(638,22);r(105) { alpha2( X ) }.
% 0.74/1.16 parent0: (871) {G2,W2,D2,L1,V1,M1} { alpha2( X ) }.
% 0.74/1.16 substitution0:
% 0.74/1.16 X := X
% 0.74/1.16 end
% 0.74/1.16 permutation0:
% 0.74/1.16 0 ==> 0
% 0.74/1.16 end
% 0.74/1.16
% 0.74/1.16 resolution: (872) {G17,W2,D2,L1,V0,M1} { ! alpha4( skol1 ) }.
% 0.74/1.16 parent0[0]: (632) {G16,W4,D2,L2,V0,M1} R(631,4) { ! alpha2( skol1 ), !
% 0.74/1.16 alpha4( skol1 ) }.
% 0.74/1.16 parent1[0]: (645) {G19,W2,D2,L1,V1,M1} R(638,22);r(105) { alpha2( X ) }.
% 0.74/1.16 substitution0:
% 0.74/1.16 end
% 0.74/1.16 substitution1:
% 0.74/1.16 X := skol1
% 0.74/1.16 end
% 0.74/1.16
% 0.74/1.16 subsumption: (650) {G20,W2,D2,L1,V0,M1} S(632);r(645) { ! alpha4( skol1 )
% 0.74/1.16 }.
% 0.74/1.16 parent0: (872) {G17,W2,D2,L1,V0,M1} { ! alpha4( skol1 ) }.
% 0.74/1.16 substitution0:
% 0.74/1.16 end
% 0.74/1.16 permutation0:
% 0.74/1.16 0 ==> 0
% 0.74/1.16 end
% 0.74/1.16
% 0.74/1.16 resolution: (873) {G3,W4,D2,L2,V1,M2} { alpha3( X ), ! alpha11( X ) }.
% 0.74/1.16 parent0[0]: (650) {G20,W2,D2,L1,V0,M1} S(632);r(645) { ! alpha4( skol1 )
% 0.74/1.16 }.
% 0.74/1.16 parent1[2]: (109) {G2,W6,D2,L3,V2,M1} R(99,46) { alpha3( X ), ! alpha11( X
% 0.74/1.16 ), alpha4( Y ) }.
% 0.74/1.16 substitution0:
% 0.74/1.16 end
% 0.74/1.16 substitution1:
% 0.74/1.16 X := X
% 0.74/1.16 Y := skol1
% 0.74/1.16 end
% 0.74/1.16
% 0.74/1.16 subsumption: (652) {G21,W4,D2,L2,V1,M1} R(650,109) { ! alpha11( X ), alpha3
% 0.74/1.16 ( X ) }.
% 0.74/1.16 parent0: (873) {G3,W4,D2,L2,V1,M2} { alpha3( X ), ! alpha11( X ) }.
% 0.74/1.16 substitution0:
% 0.74/1.16 X := X
% 0.74/1.16 end
% 0.74/1.16 permutation0:
% 0.74/1.16 0 ==> 1
% 0.74/1.16 1 ==> 0
% 0.74/1.16 end
% 0.74/1.16
% 0.74/1.16 resolution: (874) {G2,W2,D2,L1,V0,M1} { ! alpha12( skol1 ) }.
% 0.74/1.16 parent0[0]: (650) {G20,W2,D2,L1,V0,M1} S(632);r(645) { ! alpha4( skol1 )
% 0.74/1.16 }.
% 0.74/1.16 parent1[1]: (67) {G1,W4,D2,L2,V1,M1} R(9,7) { ! alpha12( X ), alpha4( X )
% 0.74/1.16 }.
% 0.74/1.16 substitution0:
% 0.74/1.16 end
% 0.74/1.16 substitution1:
% 0.74/1.16 X := skol1
% 0.74/1.16 end
% 0.74/1.16
% 0.74/1.16 subsumption: (653) {G21,W2,D2,L1,V0,M1} R(650,67) { ! alpha12( skol1 ) }.
% 0.74/1.16 parent0: (874) {G2,W2,D2,L1,V0,M1} { ! alpha12( skol1 ) }.
% 0.74/1.16 substitution0:
% 0.74/1.16 end
% 0.74/1.16 permutation0:
% 0.74/1.16 0 ==> 0
% 0.74/1.16 end
% 0.74/1.16
% 0.74/1.16 resolution: (875) {G2,W2,D2,L1,V0,M1} { ! alpha14( skol1 ) }.
% 0.74/1.16 parent0[0]: (650) {G20,W2,D2,L1,V0,M1} S(632);r(645) { ! alpha4( skol1 )
% 0.74/1.16 }.
% 0.74/1.16 parent1[1]: (66) {G1,W4,D2,L2,V1,M1} R(10,7) { ! alpha14( X ), alpha4( X )
% 0.74/1.16 }.
% 0.74/1.16 substitution0:
% 0.74/1.16 end
% 0.74/1.16 substitution1:
% 0.74/1.16 X := skol1
% 0.74/1.16 end
% 0.74/1.16
% 0.74/1.16 subsumption: (654) {G21,W2,D2,L1,V0,M1} R(650,66) { ! alpha14( skol1 ) }.
% 0.74/1.16 parent0: (875) {G2,W2,D2,L1,V0,M1} { ! alpha14( skol1 ) }.
% 0.74/1.16 substitution0:
% 0.74/1.16 end
% 0.74/1.16 permutation0:
% 0.74/1.16 0 ==> 0
% 0.74/1.16 end
% 0.74/1.16
% 0.74/1.16 resolution: (876) {G4,W2,D2,L1,V0,M1} { alpha11( skol1 ) }.
% 0.74/1.16 parent0[0]: (653) {G21,W2,D2,L1,V0,M1} R(650,67) { ! alpha12( skol1 ) }.
% 0.74/1.16 parent1[1]: (135) {G3,W4,D2,L2,V1,M1} F(134) { alpha11( X ), alpha12( X )
% 0.74/1.16 }.
% 0.74/1.16 substitution0:
% 0.74/1.16 end
% 0.74/1.16 substitution1:
% 0.74/1.16 X := skol1
% 0.74/1.16 end
% 0.74/1.16
% 0.74/1.16 subsumption: (655) {G22,W2,D2,L1,V0,M1} R(653,135) { alpha11( skol1 ) }.
% 0.74/1.16 parent0: (876) {G4,W2,D2,L1,V0,M1} { alpha11( skol1 ) }.
% 0.74/1.16 substitution0:
% 0.74/1.16 end
% 0.74/1.16 permutation0:
% 0.74/1.16 0 ==> 0
% 0.74/1.16 end
% 0.74/1.16
% 0.74/1.16 resolution: (877) {G19,W4,D2,L2,V1,M2} { alpha14( X ), ! alpha11( X ) }.
% 0.74/1.16 parent0[1]: (639) {G18,W4,D2,L2,V1,M1} R(634,476) { alpha14( X ), ! alpha3
% 0.74/1.16 ( X ) }.
% 0.74/1.16 parent1[1]: (652) {G21,W4,D2,L2,V1,M1} R(650,109) { ! alpha11( X ), alpha3
% 0.74/1.16 ( X ) }.
% 0.74/1.16 substitution0:
% 0.74/1.16 X := X
% 0.74/1.16 end
% 0.74/1.16 substitution1:
% 0.74/1.16 X := X
% 0.74/1.16 end
% 0.74/1.16
% 0.74/1.16 subsumption: (658) {G22,W4,D2,L2,V1,M1} R(652,639) { ! alpha11( X ),
% 0.74/1.16 alpha14( X ) }.
% 0.74/1.16 parent0: (877) {G19,W4,D2,L2,V1,M2} { alpha14( X ), ! alpha11( X ) }.
% 0.74/1.16 substitution0:
% 0.74/1.16 X := X
% 0.74/1.16 end
% 0.74/1.16 permutation0:
% 0.74/1.16 0 ==> 1
% 0.74/1.16 1 ==> 0
% 0.74/1.16 end
% 0.74/1.16
% 0.74/1.16 resolution: (878) {G22,W2,D2,L1,V0,M1} { ! alpha11( skol1 ) }.
% 0.74/1.16 parent0[0]: (654) {G21,W2,D2,L1,V0,M1} R(650,66) { ! alpha14( skol1 ) }.
% 0.74/1.16 parent1[1]: (658) {G22,W4,D2,L2,V1,M1} R(652,639) { ! alpha11( X ), alpha14
% 0.74/1.16 ( X ) }.
% 0.74/1.16 substitution0:
% 0.74/1.16 end
% 0.74/1.16 substitution1:
% 0.74/1.16 X := skol1
% 0.74/1.16 end
% 0.74/1.16
% 0.74/1.16 resolution: (879) {G23,W0,D0,L0,V0,M0} { }.
% 0.74/1.16 parent0[0]: (878) {G22,W2,D2,L1,V0,M1} { ! alpha11( skol1 ) }.
% 0.74/1.16 parent1[0]: (655) {G22,W2,D2,L1,V0,M1} R(653,135) { alpha11( skol1 ) }.
% 0.74/1.16 substitution0:
% 0.74/1.16 end
% 0.74/1.16 substitution1:
% 0.74/1.16 end
% 0.74/1.16
% 0.74/1.16 subsumption: (659) {G23,W0,D0,L0,V0,M0} R(658,654);r(655) { }.
% 0.74/1.16 parent0: (879) {G23,W0,D0,L0,V0,M0} { }.
% 0.74/1.16 substitution0:
% 0.74/1.16 end
% 0.74/1.16 permutation0:
% 0.74/1.16 end
% 0.74/1.16
% 0.74/1.16 Proof check complete!
% 0.74/1.16
% 0.74/1.16 Memory use:
% 0.74/1.16
% 0.74/1.16 space for terms: 8047
% 0.74/1.16 space for clauses: 31096
% 0.74/1.16
% 0.74/1.16
% 0.74/1.16 clauses generated: 1273
% 0.74/1.16 clauses kept: 660
% 0.74/1.16 clauses selected: 300
% 0.74/1.16 clauses deleted: 19
% 0.74/1.16 clauses inuse deleted: 0
% 0.74/1.16
% 0.74/1.16 subsentry: 943
% 0.74/1.16 literals s-matched: 858
% 0.74/1.16 literals matched: 858
% 0.74/1.16 full subsumption: 102
% 0.74/1.16
% 0.74/1.16 checksum: -1102713729
% 0.74/1.16
% 0.74/1.16
% 0.74/1.16 Bliksem ended
%------------------------------------------------------------------------------