TSTP Solution File: SYN084+1 by Bliksem---1.12
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- Process Solution
%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : SYN084+1 : TPTP v8.1.0. Released v2.0.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n021.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 02:47:36 EDT 2022
% Result : Theorem 0.71s 1.07s
% Output : Refutation 0.71s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12 % Problem : SYN084+1 : TPTP v8.1.0. Released v2.0.0.
% 0.10/0.12 % Command : bliksem %s
% 0.13/0.33 % Computer : n021.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % DateTime : Mon Jul 11 12:48:23 EDT 2022
% 0.13/0.33 % CPUTime :
% 0.71/1.07 *** allocated 10000 integers for termspace/termends
% 0.71/1.07 *** allocated 10000 integers for clauses
% 0.71/1.07 *** allocated 10000 integers for justifications
% 0.71/1.07 Bliksem 1.12
% 0.71/1.07
% 0.71/1.07
% 0.71/1.07 Automatic Strategy Selection
% 0.71/1.07
% 0.71/1.07
% 0.71/1.07 Clauses:
% 0.71/1.07
% 0.71/1.07 { alpha8, alpha2( X ) }.
% 0.71/1.07 { alpha8, alpha4( X ) }.
% 0.71/1.07 { alpha8, ! alpha1 }.
% 0.71/1.07 { ! alpha8, alpha1 }.
% 0.71/1.07 { ! alpha8, ! alpha2( skol1 ), ! alpha4( skol1 ) }.
% 0.71/1.07 { ! alpha1, alpha2( X ), alpha8 }.
% 0.71/1.07 { ! alpha1, alpha4( X ), alpha8 }.
% 0.71/1.07 { ! alpha4( X ), ! big_p( a ), alpha7( X ) }.
% 0.71/1.07 { big_p( a ), alpha4( X ) }.
% 0.71/1.07 { ! alpha7( X ), alpha4( X ) }.
% 0.71/1.07 { ! alpha7( X ), ! big_p( f( X ) ), big_p( f( f( X ) ) ) }.
% 0.71/1.07 { big_p( f( X ) ), alpha7( X ) }.
% 0.71/1.07 { ! big_p( f( f( X ) ) ), alpha7( X ) }.
% 0.71/1.07 { ! alpha2( X ), ! big_p( a ), alpha5( X ) }.
% 0.71/1.07 { big_p( a ), alpha2( X ) }.
% 0.71/1.07 { ! alpha5( X ), alpha2( X ) }.
% 0.71/1.07 { ! alpha5( X ), big_p( X ), big_p( f( f( X ) ) ) }.
% 0.71/1.07 { ! big_p( X ), alpha5( X ) }.
% 0.71/1.07 { ! big_p( f( f( X ) ) ), alpha5( X ) }.
% 0.71/1.07 { ! alpha1, ! alpha3( X ), big_p( f( f( X ) ) ) }.
% 0.71/1.07 { alpha3( skol2 ), alpha1 }.
% 0.71/1.07 { ! big_p( f( f( skol2 ) ) ), alpha1 }.
% 0.71/1.07 { ! alpha3( X ), big_p( a ) }.
% 0.71/1.07 { ! alpha3( X ), alpha6( X ) }.
% 0.71/1.07 { ! big_p( a ), ! alpha6( X ), alpha3( X ) }.
% 0.71/1.07 { ! alpha6( X ), ! big_p( X ), big_p( f( X ) ) }.
% 0.71/1.07 { big_p( X ), alpha6( X ) }.
% 0.71/1.07 { ! big_p( f( X ) ), alpha6( X ) }.
% 0.71/1.07
% 0.71/1.07 percentage equality = 0.000000, percentage horn = 0.692308
% 0.71/1.07 This a non-horn, non-equality problem
% 0.71/1.07
% 0.71/1.07
% 0.71/1.07 Options Used:
% 0.71/1.07
% 0.71/1.07 useres = 1
% 0.71/1.07 useparamod = 0
% 0.71/1.07 useeqrefl = 0
% 0.71/1.07 useeqfact = 0
% 0.71/1.07 usefactor = 1
% 0.71/1.07 usesimpsplitting = 0
% 0.71/1.07 usesimpdemod = 0
% 0.71/1.07 usesimpres = 3
% 0.71/1.07
% 0.71/1.07 resimpinuse = 1000
% 0.71/1.07 resimpclauses = 20000
% 0.71/1.07 substype = standard
% 0.71/1.07 backwardsubs = 1
% 0.71/1.07 selectoldest = 5
% 0.71/1.07
% 0.71/1.07 litorderings [0] = split
% 0.71/1.07 litorderings [1] = liftord
% 0.71/1.07
% 0.71/1.07 termordering = none
% 0.71/1.07
% 0.71/1.07 litapriori = 1
% 0.71/1.07 termapriori = 0
% 0.71/1.07 litaposteriori = 0
% 0.71/1.07 termaposteriori = 0
% 0.71/1.07 demodaposteriori = 0
% 0.71/1.07 ordereqreflfact = 0
% 0.71/1.07
% 0.71/1.07 litselect = none
% 0.71/1.07
% 0.71/1.07 maxweight = 15
% 0.71/1.07 maxdepth = 30000
% 0.71/1.07 maxlength = 115
% 0.71/1.07 maxnrvars = 195
% 0.71/1.07 excuselevel = 1
% 0.71/1.07 increasemaxweight = 1
% 0.71/1.07
% 0.71/1.07 maxselected = 10000000
% 0.71/1.07 maxnrclauses = 10000000
% 0.71/1.07
% 0.71/1.07 showgenerated = 0
% 0.71/1.07 showkept = 0
% 0.71/1.07 showselected = 0
% 0.71/1.07 showdeleted = 0
% 0.71/1.07 showresimp = 1
% 0.71/1.07 showstatus = 2000
% 0.71/1.07
% 0.71/1.07 prologoutput = 0
% 0.71/1.07 nrgoals = 5000000
% 0.71/1.07 totalproof = 1
% 0.71/1.07
% 0.71/1.07 Symbols occurring in the translation:
% 0.71/1.07
% 0.71/1.07 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 0.71/1.07 . [1, 2] (w:1, o:26, a:1, s:1, b:0),
% 0.71/1.07 ! [4, 1] (w:0, o:13, a:1, s:1, b:0),
% 0.71/1.07 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.71/1.07 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.71/1.07 a [36, 0] (w:1, o:7, a:1, s:1, b:0),
% 0.71/1.07 big_p [37, 1] (w:1, o:24, a:1, s:1, b:0),
% 0.71/1.07 f [38, 1] (w:1, o:25, a:1, s:1, b:0),
% 0.71/1.07 alpha1 [40, 0] (w:1, o:9, a:1, s:1, b:0),
% 0.71/1.07 alpha2 [41, 1] (w:1, o:18, a:1, s:1, b:0),
% 0.71/1.07 alpha3 [42, 1] (w:1, o:19, a:1, s:1, b:0),
% 0.71/1.07 alpha4 [43, 1] (w:1, o:20, a:1, s:1, b:0),
% 0.71/1.07 alpha5 [44, 1] (w:1, o:21, a:1, s:1, b:0),
% 0.71/1.07 alpha6 [45, 1] (w:1, o:22, a:1, s:1, b:0),
% 0.71/1.07 alpha7 [46, 1] (w:1, o:23, a:1, s:1, b:0),
% 0.71/1.07 alpha8 [47, 0] (w:1, o:10, a:1, s:1, b:0),
% 0.71/1.07 skol1 [48, 0] (w:1, o:11, a:1, s:1, b:0),
% 0.71/1.07 skol2 [49, 0] (w:1, o:12, a:1, s:1, b:0).
% 0.71/1.07
% 0.71/1.07
% 0.71/1.07 Starting Search:
% 0.71/1.07
% 0.71/1.07 *** allocated 15000 integers for clauses
% 0.71/1.07
% 0.71/1.07 Bliksems!, er is een bewijs:
% 0.71/1.07 % SZS status Theorem
% 0.71/1.07 % SZS output start Refutation
% 0.71/1.07
% 0.71/1.07 (0) {G0,W3,D2,L2,V1,M1} I { alpha8, alpha2( X ) }.
% 0.71/1.07 (1) {G0,W3,D2,L2,V1,M1} I { alpha8, alpha4( X ) }.
% 0.71/1.07 (2) {G0,W2,D1,L2,V0,M1} I { alpha8, ! alpha1 }.
% 0.71/1.07 (3) {G0,W2,D1,L2,V0,M1} I { alpha1, ! alpha8 }.
% 0.71/1.07 (4) {G0,W5,D2,L3,V0,M1} I { ! alpha2( skol1 ), ! alpha4( skol1 ), ! alpha8
% 0.71/1.07 }.
% 0.71/1.07 (5) {G0,W6,D2,L3,V1,M1} I { ! alpha4( X ), alpha7( X ), ! big_p( a ) }.
% 0.71/1.07 (6) {G0,W4,D2,L2,V1,M1} I { alpha4( X ), big_p( a ) }.
% 0.71/1.07 (7) {G0,W4,D2,L2,V1,M1} I { alpha4( X ), ! alpha7( X ) }.
% 0.71/1.07 (8) {G0,W9,D4,L3,V1,M2} I { ! alpha7( X ), big_p( f( f( X ) ) ), ! big_p( f
% 0.71/1.07 ( X ) ) }.
% 0.71/1.07 (9) {G0,W5,D3,L2,V1,M1} I { alpha7( X ), big_p( f( X ) ) }.
% 0.71/1.07 (10) {G0,W6,D4,L2,V1,M1} I { alpha7( X ), ! big_p( f( f( X ) ) ) }.
% 0.71/1.07 (11) {G0,W6,D2,L3,V1,M1} I { ! alpha2( X ), alpha5( X ), ! big_p( a ) }.
% 0.71/1.07 (12) {G0,W4,D2,L2,V1,M1} I { alpha2( X ), big_p( a ) }.
% 0.71/1.07 (13) {G0,W4,D2,L2,V1,M1} I { alpha2( X ), ! alpha5( X ) }.
% 0.71/1.07 (14) {G0,W8,D4,L3,V1,M2} I { ! alpha5( X ), big_p( f( f( X ) ) ), big_p( X
% 0.71/1.07 ) }.
% 0.71/1.07 (15) {G0,W4,D2,L2,V1,M1} I { alpha5( X ), ! big_p( X ) }.
% 0.71/1.07 (16) {G0,W6,D4,L2,V1,M1} I { alpha5( X ), ! big_p( f( f( X ) ) ) }.
% 0.71/1.07 (17) {G0,W7,D4,L3,V1,M1} I { ! alpha3( X ), big_p( f( f( X ) ) ), ! alpha1
% 0.71/1.07 }.
% 0.71/1.07 (18) {G0,W3,D2,L2,V0,M1} I { alpha1, alpha3( skol2 ) }.
% 0.71/1.07 (19) {G0,W5,D4,L2,V0,M1} I { alpha1, ! big_p( f( f( skol2 ) ) ) }.
% 0.71/1.07 (20) {G0,W4,D2,L2,V1,M1} I { ! alpha3( X ), big_p( a ) }.
% 0.71/1.07 (21) {G0,W4,D2,L2,V1,M1} I { ! alpha3( X ), alpha6( X ) }.
% 0.71/1.07 (22) {G0,W6,D2,L3,V1,M1} I { ! alpha6( X ), alpha3( X ), ! big_p( a ) }.
% 0.71/1.07 (23) {G0,W7,D3,L3,V1,M2} I { ! alpha6( X ), big_p( f( X ) ), ! big_p( X )
% 0.71/1.07 }.
% 0.71/1.07 (24) {G0,W4,D2,L2,V1,M1} I { alpha6( X ), big_p( X ) }.
% 0.71/1.07 (25) {G0,W5,D3,L2,V1,M1} I { alpha6( X ), ! big_p( f( X ) ) }.
% 0.71/1.07 (27) {G1,W4,D2,L2,V1,M1} R(15,24) { alpha5( X ), alpha6( X ) }.
% 0.71/1.07 (28) {G1,W6,D2,L3,V2,M1} R(5,20) { ! alpha4( X ), ! alpha3( Y ), alpha7( X
% 0.71/1.07 ) }.
% 0.71/1.07 (41) {G1,W5,D3,L2,V1,M1} R(8,25);r(24) { alpha6( f( X ) ), ! alpha7( X )
% 0.71/1.07 }.
% 0.71/1.07 (43) {G1,W4,D2,L2,V1,M1} R(9,25) { alpha6( X ), alpha7( X ) }.
% 0.71/1.07 (45) {G2,W4,D2,L2,V1,M1} R(43,7) { alpha4( X ), alpha6( X ) }.
% 0.71/1.07 (53) {G1,W6,D2,L3,V2,M1} R(11,20) { ! alpha2( X ), ! alpha3( Y ), alpha5( X
% 0.71/1.07 ) }.
% 0.71/1.07 (67) {G1,W5,D2,L3,V0,M1} R(19,14) { alpha1, ! alpha5( skol2 ), big_p( skol2
% 0.71/1.07 ) }.
% 0.71/1.07 (70) {G1,W6,D3,L3,V0,M1} R(19,8) { alpha1, ! alpha7( skol2 ), ! big_p( f(
% 0.71/1.07 skol2 ) ) }.
% 0.71/1.07 (81) {G1,W6,D2,L3,V2,M1} R(22,12) { alpha3( X ), alpha2( Y ), ! alpha6( X )
% 0.71/1.07 }.
% 0.71/1.07 (82) {G1,W6,D2,L3,V2,M1} R(22,6) { alpha3( X ), alpha4( Y ), ! alpha6( X )
% 0.71/1.07 }.
% 0.71/1.07 (83) {G1,W6,D2,L3,V2,M1} R(22,20) { alpha3( X ), ! alpha3( Y ), ! alpha6( X
% 0.71/1.07 ) }.
% 0.71/1.07 (89) {G2,W6,D2,L3,V2,M1} R(81,27) { alpha2( Y ), alpha3( X ), alpha5( X )
% 0.71/1.07 }.
% 0.71/1.07 (90) {G3,W6,D2,L3,V2,M1} R(89,13) { alpha2( X ), alpha2( Y ), alpha3( Y )
% 0.71/1.07 }.
% 0.71/1.07 (91) {G4,W4,D2,L2,V1,M1} F(90) { alpha2( X ), alpha3( X ) }.
% 0.71/1.07 (98) {G1,W5,D3,L2,V1,M1} R(23,10);r(9) { ! alpha6( f( X ) ), alpha7( X )
% 0.71/1.07 }.
% 0.71/1.07 (107) {G2,W7,D3,L3,V2,M1} R(28,41) { ! alpha3( Y ), ! alpha4( X ), alpha6(
% 0.71/1.07 f( X ) ) }.
% 0.71/1.07 (109) {G3,W6,D2,L3,V2,M2} R(82,45) { alpha3( X ), alpha4( X ), alpha4( Y )
% 0.71/1.07 }.
% 0.71/1.07 (113) {G4,W4,D2,L2,V1,M1} F(109) { alpha3( X ), alpha4( X ) }.
% 0.71/1.07 (143) {G2,W7,D2,L4,V0,M1} R(70,23) { alpha1, ! alpha6( skol2 ), ! alpha7(
% 0.71/1.07 skol2 ), ! big_p( skol2 ) }.
% 0.71/1.07 (153) {G3,W7,D2,L4,V0,M1} R(143,67);f { alpha1, ! alpha6( skol2 ), ! alpha5
% 0.71/1.07 ( skol2 ), ! alpha7( skol2 ) }.
% 0.71/1.07 (157) {G4,W8,D3,L4,V0,M1} R(153,98) { alpha1, ! alpha5( skol2 ), ! alpha6(
% 0.71/1.07 skol2 ), ! alpha6( f( skol2 ) ) }.
% 0.71/1.07 (188) {G3,W9,D3,L4,V3,M1} R(107,83) { ! alpha3( X ), alpha3( f( Y ) ), !
% 0.71/1.07 alpha3( Z ), ! alpha4( Y ) }.
% 0.71/1.07 (189) {G4,W7,D3,L3,V2,M1} F(188) { ! alpha3( X ), alpha3( f( Y ) ), !
% 0.71/1.07 alpha4( Y ) }.
% 0.71/1.07 (191) {G5,W6,D3,L3,V2,M2} R(189,1) { alpha8, ! alpha3( X ), alpha3( f( Y )
% 0.71/1.07 ) }.
% 0.71/1.07 (194) {G6,W4,D3,L2,V1,M1} R(191,18);r(3) { alpha1, alpha3( f( X ) ) }.
% 0.71/1.07 (199) {G7,W4,D3,L2,V1,M1} R(194,191);r(2) { alpha8, alpha3( f( X ) ) }.
% 0.71/1.07 (301) {G7,W5,D2,L3,V0,M1} R(157,21);r(194) { alpha1, ! alpha5( skol2 ), !
% 0.71/1.07 alpha6( skol2 ) }.
% 0.71/1.07 (304) {G8,W3,D2,L2,V0,M1} R(301,21);r(18) { alpha1, ! alpha5( skol2 ) }.
% 0.71/1.07 (305) {G9,W5,D2,L3,V1,M1} R(304,53) { alpha1, ! alpha2( skol2 ), ! alpha3(
% 0.71/1.07 X ) }.
% 0.71/1.07 (308) {G10,W3,D2,L2,V0,M1} R(305,199);r(2) { alpha8, ! alpha2( skol2 ) }.
% 0.71/1.07 (311) {G11,W1,D1,L1,V0,M1} S(308);r(0) { alpha8 }.
% 0.71/1.07 (312) {G12,W4,D2,L2,V0,M1} R(311,4) { ! alpha2( skol1 ), ! alpha4( skol1 )
% 0.71/1.07 }.
% 0.71/1.07 (313) {G12,W1,D1,L1,V0,M1} R(311,3) { alpha1 }.
% 0.71/1.07 (314) {G13,W6,D4,L2,V1,M1} R(313,17) { ! alpha3( X ), big_p( f( f( X ) ) )
% 0.71/1.07 }.
% 0.71/1.07 (343) {G14,W4,D2,L2,V1,M1} R(314,16) { ! alpha3( X ), alpha5( X ) }.
% 0.71/1.07 (344) {G14,W4,D2,L2,V1,M1} R(314,10) { ! alpha3( X ), alpha7( X ) }.
% 0.71/1.07 (349) {G15,W2,D2,L1,V1,M1} R(343,13);r(91) { alpha2( X ) }.
% 0.71/1.07 (350) {G15,W2,D2,L1,V1,M1} R(344,7);r(113) { alpha4( X ) }.
% 0.71/1.07 (351) {G16,W0,D0,L0,V0,M0} R(350,312);r(349) { }.
% 0.71/1.07
% 0.71/1.07
% 0.71/1.07 % SZS output end Refutation
% 0.71/1.07 found a proof!
% 0.71/1.07
% 0.71/1.07
% 0.71/1.07 Unprocessed initial clauses:
% 0.71/1.07
% 0.71/1.07 (353) {G0,W3,D2,L2,V1,M2} { alpha8, alpha2( X ) }.
% 0.71/1.07 (354) {G0,W3,D2,L2,V1,M2} { alpha8, alpha4( X ) }.
% 0.71/1.07 (355) {G0,W2,D1,L2,V0,M2} { alpha8, ! alpha1 }.
% 0.71/1.07 (356) {G0,W2,D1,L2,V0,M2} { ! alpha8, alpha1 }.
% 0.71/1.07 (357) {G0,W5,D2,L3,V0,M3} { ! alpha8, ! alpha2( skol1 ), ! alpha4( skol1 )
% 0.71/1.07 }.
% 0.71/1.07 (358) {G0,W4,D2,L3,V1,M3} { ! alpha1, alpha2( X ), alpha8 }.
% 0.71/1.07 (359) {G0,W4,D2,L3,V1,M3} { ! alpha1, alpha4( X ), alpha8 }.
% 0.71/1.07 (360) {G0,W6,D2,L3,V1,M3} { ! alpha4( X ), ! big_p( a ), alpha7( X ) }.
% 0.71/1.07 (361) {G0,W4,D2,L2,V1,M2} { big_p( a ), alpha4( X ) }.
% 0.71/1.07 (362) {G0,W4,D2,L2,V1,M2} { ! alpha7( X ), alpha4( X ) }.
% 0.71/1.07 (363) {G0,W9,D4,L3,V1,M3} { ! alpha7( X ), ! big_p( f( X ) ), big_p( f( f
% 0.71/1.07 ( X ) ) ) }.
% 0.71/1.07 (364) {G0,W5,D3,L2,V1,M2} { big_p( f( X ) ), alpha7( X ) }.
% 0.71/1.07 (365) {G0,W6,D4,L2,V1,M2} { ! big_p( f( f( X ) ) ), alpha7( X ) }.
% 0.71/1.07 (366) {G0,W6,D2,L3,V1,M3} { ! alpha2( X ), ! big_p( a ), alpha5( X ) }.
% 0.71/1.07 (367) {G0,W4,D2,L2,V1,M2} { big_p( a ), alpha2( X ) }.
% 0.71/1.07 (368) {G0,W4,D2,L2,V1,M2} { ! alpha5( X ), alpha2( X ) }.
% 0.71/1.07 (369) {G0,W8,D4,L3,V1,M3} { ! alpha5( X ), big_p( X ), big_p( f( f( X ) )
% 0.71/1.07 ) }.
% 0.71/1.07 (370) {G0,W4,D2,L2,V1,M2} { ! big_p( X ), alpha5( X ) }.
% 0.71/1.08 (371) {G0,W6,D4,L2,V1,M2} { ! big_p( f( f( X ) ) ), alpha5( X ) }.
% 0.71/1.08 (372) {G0,W7,D4,L3,V1,M3} { ! alpha1, ! alpha3( X ), big_p( f( f( X ) ) )
% 0.71/1.08 }.
% 0.71/1.08 (373) {G0,W3,D2,L2,V0,M2} { alpha3( skol2 ), alpha1 }.
% 0.71/1.08 (374) {G0,W5,D4,L2,V0,M2} { ! big_p( f( f( skol2 ) ) ), alpha1 }.
% 0.71/1.08 (375) {G0,W4,D2,L2,V1,M2} { ! alpha3( X ), big_p( a ) }.
% 0.71/1.08 (376) {G0,W4,D2,L2,V1,M2} { ! alpha3( X ), alpha6( X ) }.
% 0.71/1.08 (377) {G0,W6,D2,L3,V1,M3} { ! big_p( a ), ! alpha6( X ), alpha3( X ) }.
% 0.71/1.08 (378) {G0,W7,D3,L3,V1,M3} { ! alpha6( X ), ! big_p( X ), big_p( f( X ) )
% 0.71/1.08 }.
% 0.71/1.08 (379) {G0,W4,D2,L2,V1,M2} { big_p( X ), alpha6( X ) }.
% 0.71/1.08 (380) {G0,W5,D3,L2,V1,M2} { ! big_p( f( X ) ), alpha6( X ) }.
% 0.71/1.08
% 0.71/1.08
% 0.71/1.08 Total Proof:
% 0.71/1.08
% 0.71/1.08 subsumption: (0) {G0,W3,D2,L2,V1,M1} I { alpha8, alpha2( X ) }.
% 0.71/1.08 parent0: (353) {G0,W3,D2,L2,V1,M2} { alpha8, alpha2( X ) }.
% 0.71/1.08 substitution0:
% 0.71/1.08 X := X
% 0.71/1.08 end
% 0.71/1.08 permutation0:
% 0.71/1.08 0 ==> 0
% 0.71/1.08 1 ==> 1
% 0.71/1.08 end
% 0.71/1.08
% 0.71/1.08 subsumption: (1) {G0,W3,D2,L2,V1,M1} I { alpha8, alpha4( X ) }.
% 0.71/1.08 parent0: (354) {G0,W3,D2,L2,V1,M2} { alpha8, alpha4( X ) }.
% 0.71/1.08 substitution0:
% 0.71/1.08 X := X
% 0.71/1.08 end
% 0.71/1.08 permutation0:
% 0.71/1.08 0 ==> 0
% 0.71/1.08 1 ==> 1
% 0.71/1.08 end
% 0.71/1.08
% 0.71/1.08 subsumption: (2) {G0,W2,D1,L2,V0,M1} I { alpha8, ! alpha1 }.
% 0.71/1.08 parent0: (355) {G0,W2,D1,L2,V0,M2} { alpha8, ! alpha1 }.
% 0.71/1.08 substitution0:
% 0.71/1.08 end
% 0.71/1.08 permutation0:
% 0.71/1.08 0 ==> 0
% 0.71/1.08 1 ==> 1
% 0.71/1.08 end
% 0.71/1.08
% 0.71/1.08 subsumption: (3) {G0,W2,D1,L2,V0,M1} I { alpha1, ! alpha8 }.
% 0.71/1.08 parent0: (356) {G0,W2,D1,L2,V0,M2} { ! alpha8, alpha1 }.
% 0.71/1.08 substitution0:
% 0.71/1.08 end
% 0.71/1.08 permutation0:
% 0.71/1.08 0 ==> 1
% 0.71/1.08 1 ==> 0
% 0.71/1.08 end
% 0.71/1.08
% 0.71/1.08 subsumption: (4) {G0,W5,D2,L3,V0,M1} I { ! alpha2( skol1 ), ! alpha4( skol1
% 0.71/1.08 ), ! alpha8 }.
% 0.71/1.08 parent0: (357) {G0,W5,D2,L3,V0,M3} { ! alpha8, ! alpha2( skol1 ), ! alpha4
% 0.71/1.08 ( skol1 ) }.
% 0.71/1.08 substitution0:
% 0.71/1.08 end
% 0.71/1.08 permutation0:
% 0.71/1.08 0 ==> 2
% 0.71/1.08 1 ==> 0
% 0.71/1.08 2 ==> 1
% 0.71/1.08 end
% 0.71/1.08
% 0.71/1.08 subsumption: (5) {G0,W6,D2,L3,V1,M1} I { ! alpha4( X ), alpha7( X ), !
% 0.71/1.08 big_p( a ) }.
% 0.71/1.08 parent0: (360) {G0,W6,D2,L3,V1,M3} { ! alpha4( X ), ! big_p( a ), alpha7(
% 0.71/1.08 X ) }.
% 0.71/1.08 substitution0:
% 0.71/1.08 X := X
% 0.71/1.08 end
% 0.71/1.08 permutation0:
% 0.71/1.08 0 ==> 0
% 0.71/1.08 1 ==> 2
% 0.71/1.08 2 ==> 1
% 0.71/1.08 end
% 0.71/1.08
% 0.71/1.08 subsumption: (6) {G0,W4,D2,L2,V1,M1} I { alpha4( X ), big_p( a ) }.
% 0.71/1.08 parent0: (361) {G0,W4,D2,L2,V1,M2} { big_p( a ), alpha4( X ) }.
% 0.71/1.08 substitution0:
% 0.71/1.08 X := X
% 0.71/1.08 end
% 0.71/1.08 permutation0:
% 0.71/1.08 0 ==> 1
% 0.71/1.08 1 ==> 0
% 0.71/1.08 end
% 0.71/1.08
% 0.71/1.08 subsumption: (7) {G0,W4,D2,L2,V1,M1} I { alpha4( X ), ! alpha7( X ) }.
% 0.71/1.08 parent0: (362) {G0,W4,D2,L2,V1,M2} { ! alpha7( X ), alpha4( X ) }.
% 0.71/1.08 substitution0:
% 0.71/1.08 X := X
% 0.71/1.08 end
% 0.71/1.08 permutation0:
% 0.71/1.08 0 ==> 1
% 0.71/1.08 1 ==> 0
% 0.71/1.08 end
% 0.71/1.08
% 0.71/1.08 subsumption: (8) {G0,W9,D4,L3,V1,M2} I { ! alpha7( X ), big_p( f( f( X ) )
% 0.71/1.08 ), ! big_p( f( X ) ) }.
% 0.71/1.08 parent0: (363) {G0,W9,D4,L3,V1,M3} { ! alpha7( X ), ! big_p( f( X ) ),
% 0.71/1.08 big_p( f( f( X ) ) ) }.
% 0.71/1.08 substitution0:
% 0.71/1.08 X := X
% 0.71/1.08 end
% 0.71/1.08 permutation0:
% 0.71/1.08 0 ==> 0
% 0.71/1.08 1 ==> 2
% 0.71/1.08 2 ==> 1
% 0.71/1.08 end
% 0.71/1.08
% 0.71/1.08 subsumption: (9) {G0,W5,D3,L2,V1,M1} I { alpha7( X ), big_p( f( X ) ) }.
% 0.71/1.08 parent0: (364) {G0,W5,D3,L2,V1,M2} { big_p( f( X ) ), alpha7( X ) }.
% 0.71/1.08 substitution0:
% 0.71/1.08 X := X
% 0.71/1.08 end
% 0.71/1.08 permutation0:
% 0.71/1.08 0 ==> 1
% 0.71/1.08 1 ==> 0
% 0.71/1.08 end
% 0.71/1.08
% 0.71/1.08 subsumption: (10) {G0,W6,D4,L2,V1,M1} I { alpha7( X ), ! big_p( f( f( X ) )
% 0.71/1.08 ) }.
% 0.71/1.08 parent0: (365) {G0,W6,D4,L2,V1,M2} { ! big_p( f( f( X ) ) ), alpha7( X )
% 0.71/1.08 }.
% 0.71/1.08 substitution0:
% 0.71/1.08 X := X
% 0.71/1.08 end
% 0.71/1.08 permutation0:
% 0.71/1.08 0 ==> 1
% 0.71/1.08 1 ==> 0
% 0.71/1.08 end
% 0.71/1.08
% 0.71/1.08 subsumption: (11) {G0,W6,D2,L3,V1,M1} I { ! alpha2( X ), alpha5( X ), !
% 0.71/1.08 big_p( a ) }.
% 0.71/1.08 parent0: (366) {G0,W6,D2,L3,V1,M3} { ! alpha2( X ), ! big_p( a ), alpha5(
% 0.71/1.08 X ) }.
% 0.71/1.08 substitution0:
% 0.71/1.08 X := X
% 0.71/1.08 end
% 0.71/1.08 permutation0:
% 0.71/1.08 0 ==> 0
% 0.71/1.08 1 ==> 2
% 0.71/1.08 2 ==> 1
% 0.71/1.08 end
% 0.71/1.08
% 0.71/1.08 subsumption: (12) {G0,W4,D2,L2,V1,M1} I { alpha2( X ), big_p( a ) }.
% 0.71/1.08 parent0: (367) {G0,W4,D2,L2,V1,M2} { big_p( a ), alpha2( X ) }.
% 0.71/1.08 substitution0:
% 0.71/1.08 X := X
% 0.71/1.08 end
% 0.71/1.08 permutation0:
% 0.71/1.08 0 ==> 1
% 0.71/1.08 1 ==> 0
% 0.71/1.08 end
% 0.71/1.08
% 0.71/1.08 subsumption: (13) {G0,W4,D2,L2,V1,M1} I { alpha2( X ), ! alpha5( X ) }.
% 0.71/1.08 parent0: (368) {G0,W4,D2,L2,V1,M2} { ! alpha5( X ), alpha2( X ) }.
% 0.71/1.08 substitution0:
% 0.71/1.08 X := X
% 0.71/1.08 end
% 0.71/1.08 permutation0:
% 0.71/1.08 0 ==> 1
% 0.71/1.08 1 ==> 0
% 0.71/1.08 end
% 0.71/1.08
% 0.71/1.08 subsumption: (14) {G0,W8,D4,L3,V1,M2} I { ! alpha5( X ), big_p( f( f( X ) )
% 0.71/1.08 ), big_p( X ) }.
% 0.71/1.08 parent0: (369) {G0,W8,D4,L3,V1,M3} { ! alpha5( X ), big_p( X ), big_p( f(
% 0.71/1.08 f( X ) ) ) }.
% 0.71/1.08 substitution0:
% 0.71/1.08 X := X
% 0.71/1.08 end
% 0.71/1.08 permutation0:
% 0.71/1.08 0 ==> 0
% 0.71/1.08 1 ==> 2
% 0.71/1.08 2 ==> 1
% 0.71/1.08 end
% 0.71/1.08
% 0.71/1.08 subsumption: (15) {G0,W4,D2,L2,V1,M1} I { alpha5( X ), ! big_p( X ) }.
% 0.71/1.08 parent0: (370) {G0,W4,D2,L2,V1,M2} { ! big_p( X ), alpha5( X ) }.
% 0.71/1.08 substitution0:
% 0.71/1.08 X := X
% 0.71/1.08 end
% 0.71/1.08 permutation0:
% 0.71/1.08 0 ==> 1
% 0.71/1.08 1 ==> 0
% 0.71/1.08 end
% 0.71/1.08
% 0.71/1.08 subsumption: (16) {G0,W6,D4,L2,V1,M1} I { alpha5( X ), ! big_p( f( f( X ) )
% 0.71/1.08 ) }.
% 0.71/1.08 parent0: (371) {G0,W6,D4,L2,V1,M2} { ! big_p( f( f( X ) ) ), alpha5( X )
% 0.71/1.08 }.
% 0.71/1.08 substitution0:
% 0.71/1.08 X := X
% 0.71/1.08 end
% 0.71/1.08 permutation0:
% 0.71/1.08 0 ==> 1
% 0.71/1.08 1 ==> 0
% 0.71/1.08 end
% 0.71/1.08
% 0.71/1.08 subsumption: (17) {G0,W7,D4,L3,V1,M1} I { ! alpha3( X ), big_p( f( f( X ) )
% 0.71/1.08 ), ! alpha1 }.
% 0.71/1.08 parent0: (372) {G0,W7,D4,L3,V1,M3} { ! alpha1, ! alpha3( X ), big_p( f( f
% 0.71/1.08 ( X ) ) ) }.
% 0.71/1.08 substitution0:
% 0.71/1.08 X := X
% 0.71/1.08 end
% 0.71/1.08 permutation0:
% 0.71/1.08 0 ==> 2
% 0.71/1.08 1 ==> 0
% 0.71/1.08 2 ==> 1
% 0.71/1.08 end
% 0.71/1.08
% 0.71/1.08 subsumption: (18) {G0,W3,D2,L2,V0,M1} I { alpha1, alpha3( skol2 ) }.
% 0.71/1.08 parent0: (373) {G0,W3,D2,L2,V0,M2} { alpha3( skol2 ), alpha1 }.
% 0.71/1.08 substitution0:
% 0.71/1.08 end
% 0.71/1.08 permutation0:
% 0.71/1.08 0 ==> 1
% 0.71/1.08 1 ==> 0
% 0.71/1.08 end
% 0.71/1.08
% 0.71/1.08 subsumption: (19) {G0,W5,D4,L2,V0,M1} I { alpha1, ! big_p( f( f( skol2 ) )
% 0.71/1.08 ) }.
% 0.71/1.08 parent0: (374) {G0,W5,D4,L2,V0,M2} { ! big_p( f( f( skol2 ) ) ), alpha1
% 0.71/1.08 }.
% 0.71/1.08 substitution0:
% 0.71/1.08 end
% 0.71/1.08 permutation0:
% 0.71/1.08 0 ==> 1
% 0.71/1.08 1 ==> 0
% 0.71/1.08 end
% 0.71/1.08
% 0.71/1.08 subsumption: (20) {G0,W4,D2,L2,V1,M1} I { ! alpha3( X ), big_p( a ) }.
% 0.71/1.08 parent0: (375) {G0,W4,D2,L2,V1,M2} { ! alpha3( X ), big_p( a ) }.
% 0.71/1.08 substitution0:
% 0.71/1.08 X := X
% 0.71/1.08 end
% 0.71/1.08 permutation0:
% 0.71/1.08 0 ==> 0
% 0.71/1.08 1 ==> 1
% 0.71/1.08 end
% 0.71/1.08
% 0.71/1.08 subsumption: (21) {G0,W4,D2,L2,V1,M1} I { ! alpha3( X ), alpha6( X ) }.
% 0.71/1.08 parent0: (376) {G0,W4,D2,L2,V1,M2} { ! alpha3( X ), alpha6( X ) }.
% 0.71/1.08 substitution0:
% 0.71/1.08 X := X
% 0.71/1.08 end
% 0.71/1.08 permutation0:
% 0.71/1.08 0 ==> 0
% 0.71/1.08 1 ==> 1
% 0.71/1.08 end
% 0.71/1.08
% 0.71/1.08 subsumption: (22) {G0,W6,D2,L3,V1,M1} I { ! alpha6( X ), alpha3( X ), !
% 0.71/1.08 big_p( a ) }.
% 0.71/1.08 parent0: (377) {G0,W6,D2,L3,V1,M3} { ! big_p( a ), ! alpha6( X ), alpha3(
% 0.71/1.08 X ) }.
% 0.71/1.08 substitution0:
% 0.71/1.08 X := X
% 0.71/1.08 end
% 0.71/1.08 permutation0:
% 0.71/1.08 0 ==> 2
% 0.71/1.08 1 ==> 0
% 0.71/1.08 2 ==> 1
% 0.71/1.08 end
% 0.71/1.08
% 0.71/1.08 subsumption: (23) {G0,W7,D3,L3,V1,M2} I { ! alpha6( X ), big_p( f( X ) ), !
% 0.71/1.08 big_p( X ) }.
% 0.71/1.08 parent0: (378) {G0,W7,D3,L3,V1,M3} { ! alpha6( X ), ! big_p( X ), big_p( f
% 0.71/1.08 ( X ) ) }.
% 0.71/1.08 substitution0:
% 0.71/1.08 X := X
% 0.71/1.08 end
% 0.71/1.08 permutation0:
% 0.71/1.08 0 ==> 0
% 0.71/1.08 1 ==> 2
% 0.71/1.08 2 ==> 1
% 0.71/1.08 end
% 0.71/1.08
% 0.71/1.08 subsumption: (24) {G0,W4,D2,L2,V1,M1} I { alpha6( X ), big_p( X ) }.
% 0.71/1.08 parent0: (379) {G0,W4,D2,L2,V1,M2} { big_p( X ), alpha6( X ) }.
% 0.71/1.08 substitution0:
% 0.71/1.08 X := X
% 0.71/1.08 end
% 0.71/1.08 permutation0:
% 0.71/1.08 0 ==> 1
% 0.71/1.08 1 ==> 0
% 0.71/1.08 end
% 0.71/1.08
% 0.71/1.08 subsumption: (25) {G0,W5,D3,L2,V1,M1} I { alpha6( X ), ! big_p( f( X ) )
% 0.71/1.08 }.
% 0.71/1.08 parent0: (380) {G0,W5,D3,L2,V1,M2} { ! big_p( f( X ) ), alpha6( X ) }.
% 0.71/1.08 substitution0:
% 0.71/1.08 X := X
% 0.71/1.08 end
% 0.71/1.08 permutation0:
% 0.71/1.08 0 ==> 1
% 0.71/1.08 1 ==> 0
% 0.71/1.08 end
% 0.71/1.08
% 0.71/1.08 resolution: (381) {G1,W4,D2,L2,V1,M2} { alpha5( X ), alpha6( X ) }.
% 0.71/1.08 parent0[1]: (15) {G0,W4,D2,L2,V1,M1} I { alpha5( X ), ! big_p( X ) }.
% 0.71/1.08 parent1[1]: (24) {G0,W4,D2,L2,V1,M1} I { alpha6( X ), big_p( X ) }.
% 0.71/1.08 substitution0:
% 0.71/1.08 X := X
% 0.71/1.08 end
% 0.71/1.08 substitution1:
% 0.71/1.08 X := X
% 0.71/1.08 end
% 0.71/1.08
% 0.71/1.08 subsumption: (27) {G1,W4,D2,L2,V1,M1} R(15,24) { alpha5( X ), alpha6( X )
% 0.71/1.08 }.
% 0.71/1.08 parent0: (381) {G1,W4,D2,L2,V1,M2} { alpha5( X ), alpha6( X ) }.
% 0.71/1.08 substitution0:
% 0.71/1.08 X := X
% 0.71/1.08 end
% 0.71/1.08 permutation0:
% 0.71/1.08 0 ==> 0
% 0.71/1.08 1 ==> 1
% 0.71/1.08 end
% 0.71/1.08
% 0.71/1.08 resolution: (382) {G1,W6,D2,L3,V2,M3} { ! alpha4( X ), alpha7( X ), !
% 0.71/1.08 alpha3( Y ) }.
% 0.71/1.08 parent0[2]: (5) {G0,W6,D2,L3,V1,M1} I { ! alpha4( X ), alpha7( X ), ! big_p
% 0.71/1.08 ( a ) }.
% 0.71/1.08 parent1[1]: (20) {G0,W4,D2,L2,V1,M1} I { ! alpha3( X ), big_p( a ) }.
% 0.71/1.08 substitution0:
% 0.71/1.08 X := X
% 0.71/1.08 end
% 0.71/1.08 substitution1:
% 0.71/1.08 X := Y
% 0.71/1.08 end
% 0.71/1.08
% 0.71/1.08 subsumption: (28) {G1,W6,D2,L3,V2,M1} R(5,20) { ! alpha4( X ), ! alpha3( Y
% 0.71/1.08 ), alpha7( X ) }.
% 0.71/1.08 parent0: (382) {G1,W6,D2,L3,V2,M3} { ! alpha4( X ), alpha7( X ), ! alpha3
% 0.71/1.08 ( Y ) }.
% 0.71/1.08 substitution0:
% 0.71/1.08 X := X
% 0.71/1.08 Y := Y
% 0.71/1.08 end
% 0.71/1.08 permutation0:
% 0.71/1.08 0 ==> 0
% 0.71/1.08 1 ==> 2
% 0.71/1.08 2 ==> 1
% 0.71/1.08 end
% 0.71/1.08
% 0.71/1.08 resolution: (383) {G1,W8,D3,L3,V1,M3} { alpha6( f( X ) ), ! alpha7( X ), !
% 0.71/1.08 big_p( f( X ) ) }.
% 0.71/1.08 parent0[1]: (25) {G0,W5,D3,L2,V1,M1} I { alpha6( X ), ! big_p( f( X ) ) }.
% 0.71/1.08 parent1[1]: (8) {G0,W9,D4,L3,V1,M2} I { ! alpha7( X ), big_p( f( f( X ) ) )
% 0.71/1.08 , ! big_p( f( X ) ) }.
% 0.71/1.08 substitution0:
% 0.71/1.08 X := f( X )
% 0.71/1.08 end
% 0.71/1.08 substitution1:
% 0.71/1.08 X := X
% 0.71/1.08 end
% 0.71/1.08
% 0.71/1.08 resolution: (384) {G1,W8,D3,L3,V1,M3} { alpha6( f( X ) ), ! alpha7( X ),
% 0.71/1.08 alpha6( f( X ) ) }.
% 0.71/1.08 parent0[2]: (383) {G1,W8,D3,L3,V1,M3} { alpha6( f( X ) ), ! alpha7( X ), !
% 0.71/1.08 big_p( f( X ) ) }.
% 0.71/1.08 parent1[1]: (24) {G0,W4,D2,L2,V1,M1} I { alpha6( X ), big_p( X ) }.
% 0.71/1.08 substitution0:
% 0.71/1.08 X := X
% 0.71/1.08 end
% 0.71/1.08 substitution1:
% 0.71/1.08 X := f( X )
% 0.71/1.08 end
% 0.71/1.08
% 0.71/1.08 factor: (385) {G1,W5,D3,L2,V1,M2} { alpha6( f( X ) ), ! alpha7( X ) }.
% 0.71/1.08 parent0[0, 2]: (384) {G1,W8,D3,L3,V1,M3} { alpha6( f( X ) ), ! alpha7( X )
% 0.71/1.08 , alpha6( f( X ) ) }.
% 0.71/1.08 substitution0:
% 0.71/1.08 X := X
% 0.71/1.08 end
% 0.71/1.08
% 0.71/1.08 subsumption: (41) {G1,W5,D3,L2,V1,M1} R(8,25);r(24) { alpha6( f( X ) ), !
% 0.71/1.08 alpha7( X ) }.
% 0.71/1.08 parent0: (385) {G1,W5,D3,L2,V1,M2} { alpha6( f( X ) ), ! alpha7( X ) }.
% 0.71/1.08 substitution0:
% 0.71/1.08 X := X
% 0.71/1.08 end
% 0.71/1.08 permutation0:
% 0.71/1.08 0 ==> 0
% 0.71/1.08 1 ==> 1
% 0.71/1.08 end
% 0.71/1.08
% 0.71/1.08 resolution: (386) {G1,W4,D2,L2,V1,M2} { alpha6( X ), alpha7( X ) }.
% 0.71/1.08 parent0[1]: (25) {G0,W5,D3,L2,V1,M1} I { alpha6( X ), ! big_p( f( X ) ) }.
% 0.71/1.08 parent1[1]: (9) {G0,W5,D3,L2,V1,M1} I { alpha7( X ), big_p( f( X ) ) }.
% 0.71/1.08 substitution0:
% 0.71/1.08 X := X
% 0.71/1.08 end
% 0.71/1.08 substitution1:
% 0.71/1.08 X := X
% 0.71/1.08 end
% 0.71/1.08
% 0.71/1.08 subsumption: (43) {G1,W4,D2,L2,V1,M1} R(9,25) { alpha6( X ), alpha7( X )
% 0.71/1.08 }.
% 0.71/1.08 parent0: (386) {G1,W4,D2,L2,V1,M2} { alpha6( X ), alpha7( X ) }.
% 0.71/1.08 substitution0:
% 0.71/1.08 X := X
% 0.71/1.08 end
% 0.71/1.08 permutation0:
% 0.71/1.08 0 ==> 0
% 0.71/1.08 1 ==> 1
% 0.71/1.08 end
% 0.71/1.08
% 0.71/1.08 resolution: (387) {G1,W4,D2,L2,V1,M2} { alpha4( X ), alpha6( X ) }.
% 0.71/1.08 parent0[1]: (7) {G0,W4,D2,L2,V1,M1} I { alpha4( X ), ! alpha7( X ) }.
% 0.71/1.08 parent1[1]: (43) {G1,W4,D2,L2,V1,M1} R(9,25) { alpha6( X ), alpha7( X ) }.
% 0.71/1.08 substitution0:
% 0.71/1.08 X := X
% 0.71/1.08 end
% 0.71/1.08 substitution1:
% 0.71/1.08 X := X
% 0.71/1.08 end
% 0.71/1.08
% 0.71/1.08 subsumption: (45) {G2,W4,D2,L2,V1,M1} R(43,7) { alpha4( X ), alpha6( X )
% 0.71/1.08 }.
% 0.71/1.08 parent0: (387) {G1,W4,D2,L2,V1,M2} { alpha4( X ), alpha6( X ) }.
% 0.71/1.08 substitution0:
% 0.71/1.08 X := X
% 0.71/1.08 end
% 0.71/1.08 permutation0:
% 0.71/1.08 0 ==> 0
% 0.71/1.08 1 ==> 1
% 0.71/1.08 end
% 0.71/1.08
% 0.71/1.08 resolution: (388) {G1,W6,D2,L3,V2,M3} { ! alpha2( X ), alpha5( X ), !
% 0.71/1.08 alpha3( Y ) }.
% 0.71/1.08 parent0[2]: (11) {G0,W6,D2,L3,V1,M1} I { ! alpha2( X ), alpha5( X ), !
% 0.71/1.08 big_p( a ) }.
% 0.71/1.08 parent1[1]: (20) {G0,W4,D2,L2,V1,M1} I { ! alpha3( X ), big_p( a ) }.
% 0.71/1.08 substitution0:
% 0.71/1.08 X := X
% 0.71/1.08 end
% 0.71/1.08 substitution1:
% 0.71/1.08 X := Y
% 0.71/1.08 end
% 0.71/1.08
% 0.71/1.08 subsumption: (53) {G1,W6,D2,L3,V2,M1} R(11,20) { ! alpha2( X ), ! alpha3( Y
% 0.71/1.08 ), alpha5( X ) }.
% 0.71/1.08 parent0: (388) {G1,W6,D2,L3,V2,M3} { ! alpha2( X ), alpha5( X ), ! alpha3
% 0.71/1.08 ( Y ) }.
% 0.71/1.08 substitution0:
% 0.71/1.08 X := X
% 0.71/1.08 Y := Y
% 0.71/1.08 end
% 0.71/1.08 permutation0:
% 0.71/1.08 0 ==> 0
% 0.71/1.08 1 ==> 2
% 0.71/1.08 2 ==> 1
% 0.71/1.08 end
% 0.71/1.08
% 0.71/1.08 resolution: (389) {G1,W5,D2,L3,V0,M3} { alpha1, ! alpha5( skol2 ), big_p(
% 0.71/1.08 skol2 ) }.
% 0.71/1.08 parent0[1]: (19) {G0,W5,D4,L2,V0,M1} I { alpha1, ! big_p( f( f( skol2 ) ) )
% 0.71/1.08 }.
% 0.71/1.08 parent1[1]: (14) {G0,W8,D4,L3,V1,M2} I { ! alpha5( X ), big_p( f( f( X ) )
% 0.71/1.08 ), big_p( X ) }.
% 0.71/1.08 substitution0:
% 0.71/1.08 end
% 0.71/1.08 substitution1:
% 0.71/1.08 X := skol2
% 0.71/1.08 end
% 0.71/1.08
% 0.71/1.08 subsumption: (67) {G1,W5,D2,L3,V0,M1} R(19,14) { alpha1, ! alpha5( skol2 )
% 0.71/1.08 , big_p( skol2 ) }.
% 0.71/1.08 parent0: (389) {G1,W5,D2,L3,V0,M3} { alpha1, ! alpha5( skol2 ), big_p(
% 0.71/1.08 skol2 ) }.
% 0.71/1.08 substitution0:
% 0.71/1.08 end
% 0.71/1.08 permutation0:
% 0.71/1.08 0 ==> 0
% 0.71/1.08 1 ==> 1
% 0.71/1.08 2 ==> 2
% 0.71/1.08 end
% 0.71/1.08
% 0.71/1.08 resolution: (391) {G1,W6,D3,L3,V0,M3} { alpha1, ! alpha7( skol2 ), ! big_p
% 0.71/1.08 ( f( skol2 ) ) }.
% 0.71/1.08 parent0[1]: (19) {G0,W5,D4,L2,V0,M1} I { alpha1, ! big_p( f( f( skol2 ) ) )
% 0.71/1.08 }.
% 0.71/1.08 parent1[1]: (8) {G0,W9,D4,L3,V1,M2} I { ! alpha7( X ), big_p( f( f( X ) ) )
% 0.71/1.08 , ! big_p( f( X ) ) }.
% 0.71/1.08 substitution0:
% 0.71/1.08 end
% 0.71/1.08 substitution1:
% 0.71/1.08 X := skol2
% 0.71/1.08 end
% 0.71/1.08
% 0.71/1.08 subsumption: (70) {G1,W6,D3,L3,V0,M1} R(19,8) { alpha1, ! alpha7( skol2 ),
% 0.71/1.08 ! big_p( f( skol2 ) ) }.
% 0.71/1.08 parent0: (391) {G1,W6,D3,L3,V0,M3} { alpha1, ! alpha7( skol2 ), ! big_p( f
% 0.71/1.08 ( skol2 ) ) }.
% 0.71/1.08 substitution0:
% 0.71/1.08 end
% 0.71/1.08 permutation0:
% 0.71/1.08 0 ==> 0
% 0.71/1.08 1 ==> 1
% 0.71/1.08 2 ==> 2
% 0.71/1.08 end
% 0.71/1.08
% 0.71/1.08 resolution: (392) {G1,W6,D2,L3,V2,M3} { ! alpha6( X ), alpha3( X ), alpha2
% 0.71/1.08 ( Y ) }.
% 0.71/1.08 parent0[2]: (22) {G0,W6,D2,L3,V1,M1} I { ! alpha6( X ), alpha3( X ), !
% 0.71/1.08 big_p( a ) }.
% 0.71/1.08 parent1[1]: (12) {G0,W4,D2,L2,V1,M1} I { alpha2( X ), big_p( a ) }.
% 0.71/1.08 substitution0:
% 0.71/1.08 X := X
% 0.71/1.08 end
% 0.71/1.08 substitution1:
% 0.71/1.08 X := Y
% 0.71/1.08 end
% 0.71/1.08
% 0.71/1.08 subsumption: (81) {G1,W6,D2,L3,V2,M1} R(22,12) { alpha3( X ), alpha2( Y ),
% 0.71/1.08 ! alpha6( X ) }.
% 0.71/1.08 parent0: (392) {G1,W6,D2,L3,V2,M3} { ! alpha6( X ), alpha3( X ), alpha2( Y
% 0.71/1.08 ) }.
% 0.71/1.08 substitution0:
% 0.71/1.08 X := X
% 0.71/1.08 Y := Y
% 0.71/1.08 end
% 0.71/1.08 permutation0:
% 0.71/1.08 0 ==> 2
% 0.71/1.08 1 ==> 0
% 0.71/1.08 2 ==> 1
% 0.71/1.08 end
% 0.71/1.08
% 0.71/1.08 resolution: (393) {G1,W6,D2,L3,V2,M3} { ! alpha6( X ), alpha3( X ), alpha4
% 0.71/1.08 ( Y ) }.
% 0.71/1.08 parent0[2]: (22) {G0,W6,D2,L3,V1,M1} I { ! alpha6( X ), alpha3( X ), !
% 0.71/1.08 big_p( a ) }.
% 0.71/1.08 parent1[1]: (6) {G0,W4,D2,L2,V1,M1} I { alpha4( X ), big_p( a ) }.
% 0.71/1.08 substitution0:
% 0.71/1.08 X := X
% 0.71/1.08 end
% 0.71/1.08 substitution1:
% 0.71/1.08 X := Y
% 0.71/1.08 end
% 0.71/1.08
% 0.71/1.08 subsumption: (82) {G1,W6,D2,L3,V2,M1} R(22,6) { alpha3( X ), alpha4( Y ), !
% 0.71/1.08 alpha6( X ) }.
% 0.71/1.08 parent0: (393) {G1,W6,D2,L3,V2,M3} { ! alpha6( X ), alpha3( X ), alpha4( Y
% 0.71/1.08 ) }.
% 0.71/1.08 substitution0:
% 0.71/1.08 X := X
% 0.71/1.08 Y := Y
% 0.71/1.08 end
% 0.71/1.08 permutation0:
% 0.71/1.08 0 ==> 2
% 0.71/1.08 1 ==> 0
% 0.71/1.08 2 ==> 1
% 0.71/1.08 end
% 0.71/1.08
% 0.71/1.08 resolution: (394) {G1,W6,D2,L3,V2,M3} { ! alpha6( X ), alpha3( X ), !
% 0.71/1.08 alpha3( Y ) }.
% 0.71/1.08 parent0[2]: (22) {G0,W6,D2,L3,V1,M1} I { ! alpha6( X ), alpha3( X ), !
% 0.71/1.08 big_p( a ) }.
% 0.71/1.08 parent1[1]: (20) {G0,W4,D2,L2,V1,M1} I { ! alpha3( X ), big_p( a ) }.
% 0.71/1.08 substitution0:
% 0.71/1.08 X := X
% 0.71/1.08 end
% 0.71/1.08 substitution1:
% 0.71/1.08 X := Y
% 0.71/1.08 end
% 0.71/1.08
% 0.71/1.08 subsumption: (83) {G1,W6,D2,L3,V2,M1} R(22,20) { alpha3( X ), ! alpha3( Y )
% 0.71/1.08 , ! alpha6( X ) }.
% 0.71/1.08 parent0: (394) {G1,W6,D2,L3,V2,M3} { ! alpha6( X ), alpha3( X ), ! alpha3
% 0.71/1.08 ( Y ) }.
% 0.71/1.08 substitution0:
% 0.71/1.08 X := X
% 0.71/1.08 Y := Y
% 0.71/1.08 end
% 0.71/1.08 permutation0:
% 0.71/1.08 0 ==> 2
% 0.71/1.08 1 ==> 0
% 0.71/1.08 2 ==> 1
% 0.71/1.08 end
% 0.71/1.08
% 0.71/1.08 resolution: (395) {G2,W6,D2,L3,V2,M3} { alpha3( X ), alpha2( Y ), alpha5(
% 0.71/1.08 X ) }.
% 0.71/1.08 parent0[2]: (81) {G1,W6,D2,L3,V2,M1} R(22,12) { alpha3( X ), alpha2( Y ), !
% 0.71/1.08 alpha6( X ) }.
% 0.71/1.08 parent1[1]: (27) {G1,W4,D2,L2,V1,M1} R(15,24) { alpha5( X ), alpha6( X )
% 0.71/1.08 }.
% 0.71/1.08 substitution0:
% 0.71/1.08 X := X
% 0.71/1.08 Y := Y
% 0.71/1.08 end
% 0.71/1.08 substitution1:
% 0.71/1.08 X := X
% 0.71/1.08 end
% 0.71/1.08
% 0.71/1.08 subsumption: (89) {G2,W6,D2,L3,V2,M1} R(81,27) { alpha2( Y ), alpha3( X ),
% 0.71/1.08 alpha5( X ) }.
% 0.71/1.08 parent0: (395) {G2,W6,D2,L3,V2,M3} { alpha3( X ), alpha2( Y ), alpha5( X )
% 0.71/1.08 }.
% 0.71/1.08 substitution0:
% 0.71/1.08 X := X
% 0.71/1.08 Y := Y
% 0.71/1.08 end
% 0.71/1.08 permutation0:
% 0.71/1.08 0 ==> 1
% 0.71/1.08 1 ==> 0
% 0.71/1.08 2 ==> 2
% 0.71/1.08 end
% 0.71/1.08
% 0.71/1.08 resolution: (396) {G1,W6,D2,L3,V2,M3} { alpha2( X ), alpha2( Y ), alpha3(
% 0.71/1.08 X ) }.
% 0.71/1.08 parent0[1]: (13) {G0,W4,D2,L2,V1,M1} I { alpha2( X ), ! alpha5( X ) }.
% 0.71/1.08 parent1[2]: (89) {G2,W6,D2,L3,V2,M1} R(81,27) { alpha2( Y ), alpha3( X ),
% 0.71/1.08 alpha5( X ) }.
% 0.71/1.08 substitution0:
% 0.71/1.08 X := X
% 0.71/1.08 end
% 0.71/1.08 substitution1:
% 0.71/1.08 X := X
% 0.71/1.08 Y := Y
% 0.71/1.08 end
% 0.71/1.08
% 0.71/1.08 subsumption: (90) {G3,W6,D2,L3,V2,M1} R(89,13) { alpha2( X ), alpha2( Y ),
% 0.71/1.08 alpha3( Y ) }.
% 0.71/1.08 parent0: (396) {G1,W6,D2,L3,V2,M3} { alpha2( X ), alpha2( Y ), alpha3( X )
% 0.71/1.08 }.
% 0.71/1.08 substitution0:
% 0.71/1.08 X := Y
% 0.71/1.08 Y := X
% 0.71/1.08 end
% 0.71/1.08 permutation0:
% 0.71/1.08 0 ==> 1
% 0.71/1.08 1 ==> 0
% 0.71/1.08 2 ==> 2
% 0.71/1.08 end
% 0.71/1.08
% 0.71/1.08 factor: (398) {G3,W4,D2,L2,V1,M2} { alpha2( X ), alpha3( X ) }.
% 0.71/1.08 parent0[0, 1]: (90) {G3,W6,D2,L3,V2,M1} R(89,13) { alpha2( X ), alpha2( Y )
% 0.71/1.08 , alpha3( Y ) }.
% 0.71/1.08 substitution0:
% 0.71/1.08 X := X
% 0.71/1.08 Y := X
% 0.71/1.08 end
% 0.71/1.08
% 0.71/1.08 subsumption: (91) {G4,W4,D2,L2,V1,M1} F(90) { alpha2( X ), alpha3( X ) }.
% 0.71/1.08 parent0: (398) {G3,W4,D2,L2,V1,M2} { alpha2( X ), alpha3( X ) }.
% 0.71/1.08 substitution0:
% 0.71/1.08 X := X
% 0.71/1.08 end
% 0.71/1.08 permutation0:
% 0.71/1.08 0 ==> 0
% 0.71/1.08 1 ==> 1
% 0.71/1.08 end
% 0.71/1.08
% 0.71/1.08 resolution: (399) {G1,W8,D3,L3,V1,M3} { alpha7( X ), ! alpha6( f( X ) ), !
% 0.71/1.08 big_p( f( X ) ) }.
% 0.71/1.08 parent0[1]: (10) {G0,W6,D4,L2,V1,M1} I { alpha7( X ), ! big_p( f( f( X ) )
% 0.71/1.08 ) }.
% 0.71/1.08 parent1[1]: (23) {G0,W7,D3,L3,V1,M2} I { ! alpha6( X ), big_p( f( X ) ), !
% 0.71/1.08 big_p( X ) }.
% 0.71/1.08 substitution0:
% 0.71/1.08 X := X
% 0.71/1.08 end
% 0.71/1.08 substitution1:
% 0.71/1.08 X := f( X )
% 0.71/1.08 end
% 0.71/1.08
% 0.71/1.08 resolution: (400) {G1,W7,D3,L3,V1,M3} { alpha7( X ), ! alpha6( f( X ) ),
% 0.71/1.08 alpha7( X ) }.
% 0.71/1.08 parent0[2]: (399) {G1,W8,D3,L3,V1,M3} { alpha7( X ), ! alpha6( f( X ) ), !
% 0.71/1.08 big_p( f( X ) ) }.
% 0.71/1.08 parent1[1]: (9) {G0,W5,D3,L2,V1,M1} I { alpha7( X ), big_p( f( X ) ) }.
% 0.71/1.08 substitution0:
% 0.71/1.08 X := X
% 0.71/1.08 end
% 0.71/1.08 substitution1:
% 0.71/1.08 X := X
% 0.71/1.08 end
% 0.71/1.08
% 0.71/1.08 factor: (401) {G1,W5,D3,L2,V1,M2} { alpha7( X ), ! alpha6( f( X ) ) }.
% 0.71/1.08 parent0[0, 2]: (400) {G1,W7,D3,L3,V1,M3} { alpha7( X ), ! alpha6( f( X ) )
% 0.71/1.08 , alpha7( X ) }.
% 0.71/1.08 substitution0:
% 0.71/1.08 X := X
% 0.71/1.08 end
% 0.71/1.08
% 0.71/1.08 subsumption: (98) {G1,W5,D3,L2,V1,M1} R(23,10);r(9) { ! alpha6( f( X ) ),
% 0.71/1.08 alpha7( X ) }.
% 0.71/1.08 parent0: (401) {G1,W5,D3,L2,V1,M2} { alpha7( X ), ! alpha6( f( X ) ) }.
% 0.71/1.08 substitution0:
% 0.71/1.08 X := X
% 0.71/1.08 end
% 0.71/1.08 permutation0:
% 0.71/1.08 0 ==> 1
% 0.71/1.08 1 ==> 0
% 0.71/1.08 end
% 0.71/1.08
% 0.71/1.08 resolution: (402) {G2,W7,D3,L3,V2,M3} { alpha6( f( X ) ), ! alpha4( X ), !
% 0.71/1.08 alpha3( Y ) }.
% 0.71/1.08 parent0[1]: (41) {G1,W5,D3,L2,V1,M1} R(8,25);r(24) { alpha6( f( X ) ), !
% 0.71/1.08 alpha7( X ) }.
% 0.71/1.08 parent1[2]: (28) {G1,W6,D2,L3,V2,M1} R(5,20) { ! alpha4( X ), ! alpha3( Y )
% 0.71/1.08 , alpha7( X ) }.
% 0.71/1.08 substitution0:
% 0.71/1.08 X := X
% 0.71/1.08 end
% 0.71/1.08 substitution1:
% 0.71/1.08 X := X
% 0.71/1.08 Y := Y
% 0.71/1.08 end
% 0.71/1.08
% 0.71/1.08 subsumption: (107) {G2,W7,D3,L3,V2,M1} R(28,41) { ! alpha3( Y ), ! alpha4(
% 0.71/1.08 X ), alpha6( f( X ) ) }.
% 0.71/1.08 parent0: (402) {G2,W7,D3,L3,V2,M3} { alpha6( f( X ) ), ! alpha4( X ), !
% 0.71/1.08 alpha3( Y ) }.
% 0.71/1.08 substitution0:
% 0.71/1.08 X := X
% 0.71/1.08 Y := Y
% 0.71/1.08 end
% 0.71/1.08 permutation0:
% 0.71/1.08 0 ==> 2
% 0.71/1.08 1 ==> 1
% 0.71/1.08 2 ==> 0
% 0.71/1.08 end
% 0.71/1.08
% 0.71/1.08 resolution: (403) {G2,W6,D2,L3,V2,M3} { alpha3( X ), alpha4( Y ), alpha4(
% 0.71/1.08 X ) }.
% 0.71/1.08 parent0[2]: (82) {G1,W6,D2,L3,V2,M1} R(22,6) { alpha3( X ), alpha4( Y ), !
% 0.71/1.08 alpha6( X ) }.
% 0.71/1.08 parent1[1]: (45) {G2,W4,D2,L2,V1,M1} R(43,7) { alpha4( X ), alpha6( X ) }.
% 0.71/1.08 substitution0:
% 0.71/1.08 X := X
% 0.71/1.08 Y := Y
% 0.71/1.08 end
% 0.71/1.08 substitution1:
% 0.71/1.08 X := X
% 0.71/1.08 end
% 0.71/1.08
% 0.71/1.08 subsumption: (109) {G3,W6,D2,L3,V2,M2} R(82,45) { alpha3( X ), alpha4( X )
% 0.71/1.08 , alpha4( Y ) }.
% 0.71/1.08 parent0: (403) {G2,W6,D2,L3,V2,M3} { alpha3( X ), alpha4( Y ), alpha4( X )
% 0.71/1.08 }.
% 0.71/1.08 substitution0:
% 0.71/1.08 X := X
% 0.71/1.08 Y := X
% 0.71/1.08 end
% 0.71/1.08 permutation0:
% 0.71/1.08 0 ==> 0
% 0.71/1.08 1 ==> 1
% 0.71/1.08 2 ==> 1
% 0.71/1.08 end
% 0.71/1.08
% 0.71/1.08 factor: (405) {G3,W4,D2,L2,V1,M2} { alpha3( X ), alpha4( X ) }.
% 0.71/1.08 parent0[1, 2]: (109) {G3,W6,D2,L3,V2,M2} R(82,45) { alpha3( X ), alpha4( X
% 0.71/1.08 ), alpha4( Y ) }.
% 0.71/1.08 substitution0:
% 0.71/1.08 X := X
% 0.71/1.08 Y := X
% 0.71/1.08 end
% 0.71/1.08
% 0.71/1.08 subsumption: (113) {G4,W4,D2,L2,V1,M1} F(109) { alpha3( X ), alpha4( X )
% 0.71/1.08 }.
% 0.71/1.08 parent0: (405) {G3,W4,D2,L2,V1,M2} { alpha3( X ), alpha4( X ) }.
% 0.71/1.08 substitution0:
% 0.71/1.08 X := X
% 0.71/1.08 end
% 0.71/1.08 permutation0:
% 0.71/1.08 0 ==> 0
% 0.71/1.08 1 ==> 1
% 0.71/1.08 end
% 0.71/1.08
% 0.71/1.08 resolution: (406) {G1,W7,D2,L4,V0,M4} { alpha1, ! alpha7( skol2 ), !
% 0.71/1.08 alpha6( skol2 ), ! big_p( skol2 ) }.
% 0.71/1.08 parent0[2]: (70) {G1,W6,D3,L3,V0,M1} R(19,8) { alpha1, ! alpha7( skol2 ), !
% 0.71/1.08 big_p( f( skol2 ) ) }.
% 0.71/1.08 parent1[1]: (23) {G0,W7,D3,L3,V1,M2} I { ! alpha6( X ), big_p( f( X ) ), !
% 0.71/1.08 big_p( X ) }.
% 0.71/1.08 substitution0:
% 0.71/1.08 end
% 0.71/1.08 substitution1:
% 0.71/1.08 X := skol2
% 0.71/1.08 end
% 0.71/1.08
% 0.71/1.08 subsumption: (143) {G2,W7,D2,L4,V0,M1} R(70,23) { alpha1, ! alpha6( skol2 )
% 0.71/1.08 , ! alpha7( skol2 ), ! big_p( skol2 ) }.
% 0.71/1.08 parent0: (406) {G1,W7,D2,L4,V0,M4} { alpha1, ! alpha7( skol2 ), ! alpha6(
% 0.71/1.08 skol2 ), ! big_p( skol2 ) }.
% 0.71/1.08 substitution0:
% 0.71/1.08 end
% 0.71/1.08 permutation0:
% 0.71/1.08 0 ==> 0
% 0.71/1.08 1 ==> 2
% 0.71/1.08 2 ==> 1
% 0.71/1.08 3 ==> 3
% 0.71/1.08 end
% 0.71/1.08
% 0.71/1.08 *** allocated 22500 integers for clauses
% 0.71/1.08 resolution: (407) {G2,W8,D2,L5,V0,M5} { alpha1, ! alpha6( skol2 ), !
% 0.71/1.08 alpha7( skol2 ), alpha1, ! alpha5( skol2 ) }.
% 0.71/1.08 parent0[3]: (143) {G2,W7,D2,L4,V0,M1} R(70,23) { alpha1, ! alpha6( skol2 )
% 0.71/1.08 , ! alpha7( skol2 ), ! big_p( skol2 ) }.
% 0.71/1.08 parent1[2]: (67) {G1,W5,D2,L3,V0,M1} R(19,14) { alpha1, ! alpha5( skol2 ),
% 0.71/1.08 big_p( skol2 ) }.
% 0.71/1.08 substitution0:
% 0.71/1.08 end
% 0.71/1.08 substitution1:
% 0.71/1.08 end
% 0.71/1.08
% 0.71/1.08 factor: (408) {G2,W7,D2,L4,V0,M4} { alpha1, ! alpha6( skol2 ), ! alpha7(
% 0.71/1.08 skol2 ), ! alpha5( skol2 ) }.
% 0.71/1.08 parent0[0, 3]: (407) {G2,W8,D2,L5,V0,M5} { alpha1, ! alpha6( skol2 ), !
% 0.71/1.08 alpha7( skol2 ), alpha1, ! alpha5( skol2 ) }.
% 0.71/1.08 substitution0:
% 0.71/1.08 end
% 0.71/1.08
% 0.71/1.08 subsumption: (153) {G3,W7,D2,L4,V0,M1} R(143,67);f { alpha1, ! alpha6(
% 0.71/1.08 skol2 ), ! alpha5( skol2 ), ! alpha7( skol2 ) }.
% 0.71/1.08 parent0: (408) {G2,W7,D2,L4,V0,M4} { alpha1, ! alpha6( skol2 ), ! alpha7(
% 0.71/1.08 skol2 ), ! alpha5( skol2 ) }.
% 0.71/1.08 substitution0:
% 0.71/1.08 end
% 0.71/1.08 permutation0:
% 0.71/1.08 0 ==> 0
% 0.71/1.08 1 ==> 1
% 0.71/1.08 2 ==> 3
% 0.71/1.08 3 ==> 2
% 0.71/1.08 end
% 0.71/1.08
% 0.71/1.08 resolution: (409) {G2,W8,D3,L4,V0,M4} { alpha1, ! alpha6( skol2 ), !
% 0.71/1.08 alpha5( skol2 ), ! alpha6( f( skol2 ) ) }.
% 0.71/1.08 parent0[3]: (153) {G3,W7,D2,L4,V0,M1} R(143,67);f { alpha1, ! alpha6( skol2
% 0.71/1.08 ), ! alpha5( skol2 ), ! alpha7( skol2 ) }.
% 0.71/1.08 parent1[1]: (98) {G1,W5,D3,L2,V1,M1} R(23,10);r(9) { ! alpha6( f( X ) ),
% 0.71/1.08 alpha7( X ) }.
% 0.71/1.08 substitution0:
% 0.71/1.08 end
% 0.71/1.08 substitution1:
% 0.71/1.08 X := skol2
% 0.71/1.08 end
% 0.71/1.08
% 0.71/1.08 subsumption: (157) {G4,W8,D3,L4,V0,M1} R(153,98) { alpha1, ! alpha5( skol2
% 0.71/1.08 ), ! alpha6( skol2 ), ! alpha6( f( skol2 ) ) }.
% 0.71/1.08 parent0: (409) {G2,W8,D3,L4,V0,M4} { alpha1, ! alpha6( skol2 ), ! alpha5(
% 0.71/1.08 skol2 ), ! alpha6( f( skol2 ) ) }.
% 0.71/1.08 substitution0:
% 0.71/1.08 end
% 0.71/1.08 permutation0:
% 0.71/1.08 0 ==> 0
% 0.71/1.08 1 ==> 2
% 0.71/1.08 2 ==> 1
% 0.71/1.08 3 ==> 3
% 0.71/1.08 end
% 0.71/1.08
% 0.71/1.08 resolution: (411) {G2,W9,D3,L4,V3,M4} { alpha3( f( X ) ), ! alpha3( Y ), !
% 0.71/1.08 alpha3( Z ), ! alpha4( X ) }.
% 0.71/1.08 parent0[2]: (83) {G1,W6,D2,L3,V2,M1} R(22,20) { alpha3( X ), ! alpha3( Y )
% 0.71/1.08 , ! alpha6( X ) }.
% 0.71/1.08 parent1[2]: (107) {G2,W7,D3,L3,V2,M1} R(28,41) { ! alpha3( Y ), ! alpha4( X
% 0.71/1.08 ), alpha6( f( X ) ) }.
% 0.71/1.08 substitution0:
% 0.71/1.08 X := f( X )
% 0.71/1.08 Y := Y
% 0.71/1.08 end
% 0.71/1.08 substitution1:
% 0.71/1.08 X := X
% 0.71/1.08 Y := Z
% 0.71/1.08 end
% 0.71/1.08
% 0.71/1.08 subsumption: (188) {G3,W9,D3,L4,V3,M1} R(107,83) { ! alpha3( X ), alpha3( f
% 0.71/1.08 ( Y ) ), ! alpha3( Z ), ! alpha4( Y ) }.
% 0.71/1.08 parent0: (411) {G2,W9,D3,L4,V3,M4} { alpha3( f( X ) ), ! alpha3( Y ), !
% 0.71/1.08 alpha3( Z ), ! alpha4( X ) }.
% 0.71/1.08 substitution0:
% 0.71/1.08 X := Y
% 0.71/1.08 Y := X
% 0.71/1.08 Z := X
% 0.71/1.08 end
% 0.71/1.08 permutation0:
% 0.71/1.08 0 ==> 1
% 0.71/1.08 1 ==> 0
% 0.71/1.08 2 ==> 0
% 0.71/1.08 3 ==> 3
% 0.71/1.08 end
% 0.71/1.08
% 0.71/1.08 factor: (413) {G3,W7,D3,L3,V2,M3} { ! alpha3( X ), alpha3( f( Y ) ), !
% 0.71/1.08 alpha4( Y ) }.
% 0.71/1.08 parent0[0, 2]: (188) {G3,W9,D3,L4,V3,M1} R(107,83) { ! alpha3( X ), alpha3
% 0.71/1.08 ( f( Y ) ), ! alpha3( Z ), ! alpha4( Y ) }.
% 0.71/1.08 substitution0:
% 0.71/1.08 X := X
% 0.71/1.08 Y := Y
% 0.71/1.08 Z := X
% 0.71/1.08 end
% 0.71/1.08
% 0.71/1.08 subsumption: (189) {G4,W7,D3,L3,V2,M1} F(188) { ! alpha3( X ), alpha3( f( Y
% 0.71/1.08 ) ), ! alpha4( Y ) }.
% 0.71/1.08 parent0: (413) {G3,W7,D3,L3,V2,M3} { ! alpha3( X ), alpha3( f( Y ) ), !
% 0.71/1.08 alpha4( Y ) }.
% 0.71/1.08 substitution0:
% 0.71/1.08 X := X
% 0.71/1.08 Y := Y
% 0.71/1.08 end
% 0.71/1.08 permutation0:
% 0.71/1.08 0 ==> 0
% 0.71/1.08 1 ==> 1
% 0.71/1.08 2 ==> 2
% 0.71/1.08 end
% 0.71/1.08
% 0.71/1.08 resolution: (414) {G1,W6,D3,L3,V2,M3} { ! alpha3( X ), alpha3( f( Y ) ),
% 0.71/1.08 alpha8 }.
% 0.71/1.08 parent0[2]: (189) {G4,W7,D3,L3,V2,M1} F(188) { ! alpha3( X ), alpha3( f( Y
% 0.71/1.08 ) ), ! alpha4( Y ) }.
% 0.71/1.08 parent1[1]: (1) {G0,W3,D2,L2,V1,M1} I { alpha8, alpha4( X ) }.
% 0.71/1.08 substitution0:
% 0.71/1.08 X := X
% 0.71/1.08 Y := Y
% 0.71/1.08 end
% 0.71/1.08 substitution1:
% 0.71/1.08 X := Y
% 0.71/1.08 end
% 0.71/1.08
% 0.71/1.08 subsumption: (191) {G5,W6,D3,L3,V2,M2} R(189,1) { alpha8, ! alpha3( X ),
% 0.71/1.08 alpha3( f( Y ) ) }.
% 0.71/1.08 parent0: (414) {G1,W6,D3,L3,V2,M3} { ! alpha3( X ), alpha3( f( Y ) ),
% 0.71/1.08 alpha8 }.
% 0.71/1.08 substitution0:
% 0.71/1.08 X := X
% 0.71/1.08 Y := Y
% 0.71/1.08 end
% 0.71/1.08 permutation0:
% 0.71/1.08 0 ==> 1
% 0.71/1.08 1 ==> 2
% 0.71/1.08 2 ==> 0
% 0.71/1.08 end
% 0.71/1.08
% 0.71/1.08 resolution: (415) {G1,W5,D3,L3,V1,M3} { alpha8, alpha3( f( X ) ), alpha1
% 0.71/1.08 }.
% 0.71/1.08 parent0[1]: (191) {G5,W6,D3,L3,V2,M2} R(189,1) { alpha8, ! alpha3( X ),
% 0.71/1.08 alpha3( f( Y ) ) }.
% 0.71/1.08 parent1[1]: (18) {G0,W3,D2,L2,V0,M1} I { alpha1, alpha3( skol2 ) }.
% 0.71/1.08 substitution0:
% 0.71/1.08 X := skol2
% 0.71/1.08 Y := X
% 0.71/1.08 end
% 0.71/1.08 substitution1:
% 0.71/1.08 end
% 0.71/1.08
% 0.71/1.08 resolution: (416) {G1,W5,D3,L3,V1,M3} { alpha1, alpha3( f( X ) ), alpha1
% 0.71/1.08 }.
% 0.71/1.08 parent0[1]: (3) {G0,W2,D1,L2,V0,M1} I { alpha1, ! alpha8 }.
% 0.71/1.08 parent1[0]: (415) {G1,W5,D3,L3,V1,M3} { alpha8, alpha3( f( X ) ), alpha1
% 0.71/1.08 }.
% 0.71/1.08 substitution0:
% 0.71/1.08 end
% 0.71/1.08 substitution1:
% 0.71/1.08 X := X
% 0.71/1.08 end
% 0.71/1.08
% 0.71/1.08 factor: (417) {G1,W4,D3,L2,V1,M2} { alpha1, alpha3( f( X ) ) }.
% 0.71/1.08 parent0[0, 2]: (416) {G1,W5,D3,L3,V1,M3} { alpha1, alpha3( f( X ) ),
% 0.71/1.08 alpha1 }.
% 0.71/1.08 substitution0:
% 0.71/1.08 X := X
% 0.71/1.08 end
% 0.71/1.08
% 0.71/1.08 subsumption: (194) {G6,W4,D3,L2,V1,M1} R(191,18);r(3) { alpha1, alpha3( f(
% 0.71/1.08 X ) ) }.
% 0.71/1.08 parent0: (417) {G1,W4,D3,L2,V1,M2} { alpha1, alpha3( f( X ) ) }.
% 0.71/1.08 substitution0:
% 0.71/1.08 X := X
% 0.71/1.08 end
% 0.71/1.08 permutation0:
% 0.71/1.08 0 ==> 0
% 0.71/1.08 1 ==> 1
% 0.71/1.08 end
% 0.71/1.08
% 0.71/1.08 resolution: (418) {G6,W5,D3,L3,V1,M3} { alpha8, alpha3( f( Y ) ), alpha1
% 0.71/1.08 }.
% 0.71/1.08 parent0[1]: (191) {G5,W6,D3,L3,V2,M2} R(189,1) { alpha8, ! alpha3( X ),
% 0.71/1.08 alpha3( f( Y ) ) }.
% 0.71/1.08 parent1[1]: (194) {G6,W4,D3,L2,V1,M1} R(191,18);r(3) { alpha1, alpha3( f( X
% 0.71/1.08 ) ) }.
% 0.71/1.08 substitution0:
% 0.71/1.08 X := f( X )
% 0.71/1.08 Y := Y
% 0.71/1.08 end
% 0.71/1.08 substitution1:
% 0.71/1.08 X := X
% 0.71/1.08 end
% 0.71/1.08
% 0.71/1.08 resolution: (419) {G1,W5,D3,L3,V1,M3} { alpha8, alpha8, alpha3( f( X ) )
% 0.71/1.08 }.
% 0.71/1.08 parent0[1]: (2) {G0,W2,D1,L2,V0,M1} I { alpha8, ! alpha1 }.
% 0.71/1.08 parent1[2]: (418) {G6,W5,D3,L3,V1,M3} { alpha8, alpha3( f( Y ) ), alpha1
% 0.71/1.08 }.
% 0.71/1.08 substitution0:
% 0.71/1.08 end
% 0.71/1.08 substitution1:
% 0.71/1.08 X := Y
% 0.71/1.08 Y := X
% 0.71/1.08 end
% 0.71/1.08
% 0.71/1.08 factor: (420) {G1,W4,D3,L2,V1,M2} { alpha8, alpha3( f( X ) ) }.
% 0.71/1.08 parent0[0, 1]: (419) {G1,W5,D3,L3,V1,M3} { alpha8, alpha8, alpha3( f( X )
% 0.71/1.08 ) }.
% 0.71/1.08 substitution0:
% 0.71/1.08 X := X
% 0.71/1.08 end
% 0.71/1.08
% 0.71/1.08 subsumption: (199) {G7,W4,D3,L2,V1,M1} R(194,191);r(2) { alpha8, alpha3( f
% 0.71/1.08 ( X ) ) }.
% 0.71/1.08 parent0: (420) {G1,W4,D3,L2,V1,M2} { alpha8, alpha3( f( X ) ) }.
% 0.71/1.08 substitution0:
% 0.71/1.08 X := X
% 0.71/1.08 end
% 0.71/1.08 permutation0:
% 0.71/1.08 0 ==> 0
% 0.71/1.08 1 ==> 1
% 0.71/1.08 end
% 0.71/1.08
% 0.71/1.08 resolution: (422) {G1,W8,D3,L4,V0,M4} { alpha1, ! alpha5( skol2 ), !
% 0.71/1.08 alpha6( skol2 ), ! alpha3( f( skol2 ) ) }.
% 0.71/1.08 parent0[3]: (157) {G4,W8,D3,L4,V0,M1} R(153,98) { alpha1, ! alpha5( skol2 )
% 0.71/1.08 , ! alpha6( skol2 ), ! alpha6( f( skol2 ) ) }.
% 0.71/1.08 parent1[1]: (21) {G0,W4,D2,L2,V1,M1} I { ! alpha3( X ), alpha6( X ) }.
% 0.71/1.08 substitution0:
% 0.71/1.08 end
% 0.71/1.08 substitution1:
% 0.71/1.08 X := f( skol2 )
% 0.71/1.08 end
% 0.71/1.08
% 0.71/1.08 resolution: (423) {G2,W6,D2,L4,V0,M4} { alpha1, ! alpha5( skol2 ), !
% 0.71/1.08 alpha6( skol2 ), alpha1 }.
% 0.71/1.08 parent0[3]: (422) {G1,W8,D3,L4,V0,M4} { alpha1, ! alpha5( skol2 ), !
% 0.71/1.08 alpha6( skol2 ), ! alpha3( f( skol2 ) ) }.
% 0.71/1.08 parent1[1]: (194) {G6,W4,D3,L2,V1,M1} R(191,18);r(3) { alpha1, alpha3( f( X
% 0.71/1.08 ) ) }.
% 0.71/1.08 substitution0:
% 0.71/1.08 end
% 0.71/1.08 substitution1:
% 0.71/1.08 X := skol2
% 0.71/1.08 end
% 0.71/1.08
% 0.71/1.08 factor: (424) {G2,W5,D2,L3,V0,M3} { alpha1, ! alpha5( skol2 ), ! alpha6(
% 0.71/1.08 skol2 ) }.
% 0.71/1.08 parent0[0, 3]: (423) {G2,W6,D2,L4,V0,M4} { alpha1, ! alpha5( skol2 ), !
% 0.71/1.08 alpha6( skol2 ), alpha1 }.
% 0.71/1.08 substitution0:
% 0.71/1.08 end
% 0.71/1.08
% 0.71/1.08 subsumption: (301) {G7,W5,D2,L3,V0,M1} R(157,21);r(194) { alpha1, ! alpha5
% 0.71/1.08 ( skol2 ), ! alpha6( skol2 ) }.
% 0.71/1.08 parent0: (424) {G2,W5,D2,L3,V0,M3} { alpha1, ! alpha5( skol2 ), ! alpha6(
% 0.71/1.08 skol2 ) }.
% 0.71/1.08 substitution0:
% 0.71/1.08 end
% 0.71/1.08 permutation0:
% 0.71/1.08 0 ==> 0
% 0.71/1.08 1 ==> 1
% 0.71/1.08 2 ==> 2
% 0.71/1.08 end
% 0.71/1.08
% 0.71/1.08 resolution: (425) {G1,W5,D2,L3,V0,M3} { alpha1, ! alpha5( skol2 ), !
% 0.71/1.08 alpha3( skol2 ) }.
% 0.71/1.08 parent0[2]: (301) {G7,W5,D2,L3,V0,M1} R(157,21);r(194) { alpha1, ! alpha5(
% 0.71/1.08 skol2 ), ! alpha6( skol2 ) }.
% 0.71/1.08 parent1[1]: (21) {G0,W4,D2,L2,V1,M1} I { ! alpha3( X ), alpha6( X ) }.
% 0.71/1.08 substitution0:
% 0.71/1.08 end
% 0.71/1.08 substitution1:
% 0.71/1.08 X := skol2
% 0.71/1.08 end
% 0.71/1.08
% 0.71/1.08 resolution: (426) {G1,W4,D2,L3,V0,M3} { alpha1, ! alpha5( skol2 ), alpha1
% 0.71/1.08 }.
% 0.71/1.08 parent0[2]: (425) {G1,W5,D2,L3,V0,M3} { alpha1, ! alpha5( skol2 ), !
% 0.71/1.08 alpha3( skol2 ) }.
% 0.71/1.08 parent1[1]: (18) {G0,W3,D2,L2,V0,M1} I { alpha1, alpha3( skol2 ) }.
% 0.71/1.08 substitution0:
% 0.71/1.08 end
% 0.71/1.08 substitution1:
% 0.71/1.08 end
% 0.71/1.08
% 0.71/1.08 factor: (427) {G1,W3,D2,L2,V0,M2} { alpha1, ! alpha5( skol2 ) }.
% 0.71/1.08 parent0[0, 2]: (426) {G1,W4,D2,L3,V0,M3} { alpha1, ! alpha5( skol2 ),
% 0.71/1.08 alpha1 }.
% 0.71/1.08 substitution0:
% 0.71/1.08 end
% 0.71/1.08
% 0.71/1.08 subsumption: (304) {G8,W3,D2,L2,V0,M1} R(301,21);r(18) { alpha1, ! alpha5(
% 0.71/1.08 skol2 ) }.
% 0.71/1.08 parent0: (427) {G1,W3,D2,L2,V0,M2} { alpha1, ! alpha5( skol2 ) }.
% 0.71/1.08 substitution0:
% 0.71/1.08 end
% 0.71/1.08 permutation0:
% 0.71/1.08 0 ==> 0
% 0.71/1.08 1 ==> 1
% 0.71/1.08 end
% 0.71/1.08
% 0.71/1.08 resolution: (428) {G2,W5,D2,L3,V1,M3} { alpha1, ! alpha2( skol2 ), !
% 0.71/1.08 alpha3( X ) }.
% 0.71/1.08 parent0[1]: (304) {G8,W3,D2,L2,V0,M1} R(301,21);r(18) { alpha1, ! alpha5(
% 0.71/1.08 skol2 ) }.
% 0.71/1.08 parent1[2]: (53) {G1,W6,D2,L3,V2,M1} R(11,20) { ! alpha2( X ), ! alpha3( Y
% 0.71/1.08 ), alpha5( X ) }.
% 0.71/1.08 substitution0:
% 0.71/1.08 end
% 0.71/1.08 substitution1:
% 0.71/1.08 X := skol2
% 0.71/1.08 Y := X
% 0.71/1.08 end
% 0.71/1.08
% 0.71/1.08 subsumption: (305) {G9,W5,D2,L3,V1,M1} R(304,53) { alpha1, ! alpha2( skol2
% 0.71/1.08 ), ! alpha3( X ) }.
% 0.71/1.08 parent0: (428) {G2,W5,D2,L3,V1,M3} { alpha1, ! alpha2( skol2 ), ! alpha3(
% 0.71/1.08 X ) }.
% 0.71/1.08 substitution0:
% 0.71/1.08 X := X
% 0.71/1.08 end
% 0.71/1.08 permutation0:
% 0.71/1.08 0 ==> 0
% 0.71/1.08 1 ==> 1
% 0.71/1.08 2 ==> 2
% 0.71/1.08 end
% 0.71/1.08
% 0.71/1.08 resolution: (429) {G8,W4,D2,L3,V0,M3} { alpha1, ! alpha2( skol2 ), alpha8
% 0.71/1.08 }.
% 0.71/1.08 parent0[2]: (305) {G9,W5,D2,L3,V1,M1} R(304,53) { alpha1, ! alpha2( skol2 )
% 0.71/1.08 , ! alpha3( X ) }.
% 0.71/1.08 parent1[1]: (199) {G7,W4,D3,L2,V1,M1} R(194,191);r(2) { alpha8, alpha3( f(
% 0.71/1.08 X ) ) }.
% 0.71/1.08 substitution0:
% 0.71/1.08 X := f( X )
% 0.71/1.08 end
% 0.71/1.08 substitution1:
% 0.71/1.08 X := X
% 0.71/1.08 end
% 0.71/1.08
% 0.71/1.08 resolution: (430) {G1,W4,D2,L3,V0,M3} { alpha8, ! alpha2( skol2 ), alpha8
% 0.71/1.08 }.
% 0.71/1.08 parent0[1]: (2) {G0,W2,D1,L2,V0,M1} I { alpha8, ! alpha1 }.
% 0.71/1.08 parent1[0]: (429) {G8,W4,D2,L3,V0,M3} { alpha1, ! alpha2( skol2 ), alpha8
% 0.71/1.08 }.
% 0.71/1.08 substitution0:
% 0.71/1.08 end
% 0.71/1.08 substitution1:
% 0.71/1.08 end
% 0.71/1.08
% 0.71/1.08 factor: (431) {G1,W3,D2,L2,V0,M2} { alpha8, ! alpha2( skol2 ) }.
% 0.71/1.08 parent0[0, 2]: (430) {G1,W4,D2,L3,V0,M3} { alpha8, ! alpha2( skol2 ),
% 0.71/1.08 alpha8 }.
% 0.71/1.08 substitution0:
% 0.71/1.08 end
% 0.71/1.08
% 0.71/1.08 subsumption: (308) {G10,W3,D2,L2,V0,M1} R(305,199);r(2) { alpha8, ! alpha2
% 0.71/1.08 ( skol2 ) }.
% 0.71/1.08 parent0: (431) {G1,W3,D2,L2,V0,M2} { alpha8, ! alpha2( skol2 ) }.
% 0.71/1.08 substitution0:
% 0.71/1.08 end
% 0.71/1.08 permutation0:
% 0.71/1.08 0 ==> 0
% 0.71/1.08 1 ==> 1
% 0.71/1.08 end
% 0.71/1.08
% 0.71/1.08 resolution: (432) {G1,W2,D1,L2,V0,M2} { alpha8, alpha8 }.
% 0.71/1.08 parent0[1]: (308) {G10,W3,D2,L2,V0,M1} R(305,199);r(2) { alpha8, ! alpha2(
% 0.71/1.08 skol2 ) }.
% 0.71/1.08 parent1[1]: (0) {G0,W3,D2,L2,V1,M1} I { alpha8, alpha2( X ) }.
% 0.71/1.08 substitution0:
% 0.71/1.08 end
% 0.71/1.08 substitution1:
% 0.71/1.08 X := skol2
% 0.71/1.08 end
% 0.71/1.08
% 0.71/1.08 factor: (433) {G1,W1,D1,L1,V0,M1} { alpha8 }.
% 0.71/1.08 parent0[0, 1]: (432) {G1,W2,D1,L2,V0,M2} { alpha8, alpha8 }.
% 0.71/1.08 substitution0:
% 0.71/1.08 end
% 0.71/1.08
% 0.71/1.08 subsumption: (311) {G11,W1,D1,L1,V0,M1} S(308);r(0) { alpha8 }.
% 0.71/1.08 parent0: (433) {G1,W1,D1,L1,V0,M1} { alpha8 }.
% 0.71/1.08 substitution0:
% 0.71/1.08 end
% 0.71/1.08 permutation0:
% 0.71/1.08 0 ==> 0
% 0.71/1.08 end
% 0.71/1.08
% 0.71/1.08 resolution: (434) {G1,W4,D2,L2,V0,M2} { ! alpha2( skol1 ), ! alpha4( skol1
% 0.71/1.08 ) }.
% 0.71/1.08 parent0[2]: (4) {G0,W5,D2,L3,V0,M1} I { ! alpha2( skol1 ), ! alpha4( skol1
% 0.71/1.08 ), ! alpha8 }.
% 0.71/1.08 parent1[0]: (311) {G11,W1,D1,L1,V0,M1} S(308);r(0) { alpha8 }.
% 0.71/1.08 substitution0:
% 0.71/1.08 end
% 0.71/1.08 substitution1:
% 0.71/1.08 end
% 0.71/1.08
% 0.71/1.08 subsumption: (312) {G12,W4,D2,L2,V0,M1} R(311,4) { ! alpha2( skol1 ), !
% 0.71/1.08 alpha4( skol1 ) }.
% 0.71/1.08 parent0: (434) {G1,W4,D2,L2,V0,M2} { ! alpha2( skol1 ), ! alpha4( skol1 )
% 0.71/1.08 }.
% 0.71/1.08 substitution0:
% 0.71/1.08 end
% 0.71/1.08 permutation0:
% 0.71/1.08 0 ==> 0
% 0.71/1.08 1 ==> 1
% 0.71/1.08 end
% 0.71/1.08
% 0.71/1.08 resolution: (435) {G1,W1,D1,L1,V0,M1} { alpha1 }.
% 0.71/1.08 parent0[1]: (3) {G0,W2,D1,L2,V0,M1} I { alpha1, ! alpha8 }.
% 0.71/1.08 parent1[0]: (311) {G11,W1,D1,L1,V0,M1} S(308);r(0) { alpha8 }.
% 0.71/1.08 substitution0:
% 0.71/1.08 end
% 0.71/1.08 substitution1:
% 0.71/1.08 end
% 0.71/1.08
% 0.71/1.08 subsumption: (313) {G12,W1,D1,L1,V0,M1} R(311,3) { alpha1 }.
% 0.71/1.08 parent0: (435) {G1,W1,D1,L1,V0,M1} { alpha1 }.
% 0.71/1.08 substitution0:
% 0.71/1.08 end
% 0.71/1.08 permutation0:
% 0.71/1.08 0 ==> 0
% 0.71/1.08 end
% 0.71/1.08
% 0.71/1.08 resolution: (436) {G1,W6,D4,L2,V1,M2} { ! alpha3( X ), big_p( f( f( X ) )
% 0.71/1.08 ) }.
% 0.71/1.08 parent0[2]: (17) {G0,W7,D4,L3,V1,M1} I { ! alpha3( X ), big_p( f( f( X ) )
% 0.71/1.08 ), ! alpha1 }.
% 0.71/1.08 parent1[0]: (313) {G12,W1,D1,L1,V0,M1} R(311,3) { alpha1 }.
% 0.71/1.08 substitution0:
% 0.71/1.08 X := X
% 0.71/1.08 end
% 0.71/1.08 substitution1:
% 0.71/1.08 end
% 0.71/1.08
% 0.71/1.08 subsumption: (314) {G13,W6,D4,L2,V1,M1} R(313,17) { ! alpha3( X ), big_p( f
% 0.71/1.08 ( f( X ) ) ) }.
% 0.71/1.08 parent0: (436) {G1,W6,D4,L2,V1,M2} { ! alpha3( X ), big_p( f( f( X ) ) )
% 0.71/1.08 }.
% 0.71/1.08 substitution0:
% 0.71/1.08 X := X
% 0.71/1.08 end
% 0.71/1.08 permutation0:
% 0.71/1.08 0 ==> 0
% 0.71/1.08 1 ==> 1
% 0.71/1.08 end
% 0.71/1.08
% 0.71/1.08 resolution: (437) {G1,W4,D2,L2,V1,M2} { alpha5( X ), ! alpha3( X ) }.
% 0.71/1.08 parent0[1]: (16) {G0,W6,D4,L2,V1,M1} I { alpha5( X ), ! big_p( f( f( X ) )
% 0.71/1.08 ) }.
% 0.71/1.08 parent1[1]: (314) {G13,W6,D4,L2,V1,M1} R(313,17) { ! alpha3( X ), big_p( f
% 0.71/1.08 ( f( X ) ) ) }.
% 0.71/1.08 substitution0:
% 0.71/1.08 X := X
% 0.71/1.08 end
% 0.71/1.08 substitution1:
% 0.71/1.08 X := X
% 0.71/1.08 end
% 0.71/1.08
% 0.71/1.08 subsumption: (343) {G14,W4,D2,L2,V1,M1} R(314,16) { ! alpha3( X ), alpha5(
% 0.71/1.08 X ) }.
% 0.71/1.08 parent0: (437) {G1,W4,D2,L2,V1,M2} { alpha5( X ), ! alpha3( X ) }.
% 0.71/1.08 substitution0:
% 0.71/1.08 X := X
% 0.71/1.08 end
% 0.71/1.08 permutation0:
% 0.71/1.08 0 ==> 1
% 0.71/1.08 1 ==> 0
% 0.71/1.08 end
% 0.71/1.08
% 0.71/1.08 resolution: (438) {G1,W4,D2,L2,V1,M2} { alpha7( X ), ! alpha3( X ) }.
% 0.71/1.08 parent0[1]: (10) {G0,W6,D4,L2,V1,M1} I { alpha7( X ), ! big_p( f( f( X ) )
% 0.71/1.08 ) }.
% 0.71/1.08 parent1[1]: (314) {G13,W6,D4,L2,V1,M1} R(313,17) { ! alpha3( X ), big_p( f
% 0.71/1.08 ( f( X ) ) ) }.
% 0.71/1.08 substitution0:
% 0.71/1.08 X := X
% 0.71/1.08 end
% 0.71/1.08 substitution1:
% 0.71/1.08 X := X
% 0.71/1.08 end
% 0.71/1.08
% 0.71/1.08 subsumption: (344) {G14,W4,D2,L2,V1,M1} R(314,10) { ! alpha3( X ), alpha7(
% 0.71/1.08 X ) }.
% 0.71/1.08 parent0: (438) {G1,W4,D2,L2,V1,M2} { alpha7( X ), ! alpha3( X ) }.
% 0.71/1.08 substitution0:
% 0.71/1.08 X := X
% 0.71/1.08 end
% 0.71/1.08 permutation0:
% 0.71/1.08 0 ==> 1
% 0.71/1.08 1 ==> 0
% 0.71/1.08 end
% 0.71/1.08
% 0.71/1.08 resolution: (439) {G1,W4,D2,L2,V1,M2} { alpha2( X ), ! alpha3( X ) }.
% 0.71/1.08 parent0[1]: (13) {G0,W4,D2,L2,V1,M1} I { alpha2( X ), ! alpha5( X ) }.
% 0.71/1.08 parent1[1]: (343) {G14,W4,D2,L2,V1,M1} R(314,16) { ! alpha3( X ), alpha5( X
% 0.71/1.08 ) }.
% 0.71/1.08 substitution0:
% 0.71/1.08 X := X
% 0.71/1.08 end
% 0.71/1.08 substitution1:
% 0.71/1.08 X := X
% 0.71/1.08 end
% 0.71/1.08
% 0.71/1.08 resolution: (440) {G2,W4,D2,L2,V1,M2} { alpha2( X ), alpha2( X ) }.
% 0.71/1.08 parent0[1]: (439) {G1,W4,D2,L2,V1,M2} { alpha2( X ), ! alpha3( X ) }.
% 0.71/1.08 parent1[1]: (91) {G4,W4,D2,L2,V1,M1} F(90) { alpha2( X ), alpha3( X ) }.
% 0.71/1.08 substitution0:
% 0.71/1.08 X := X
% 0.71/1.08 end
% 0.71/1.08 substitution1:
% 0.71/1.08 X := X
% 0.71/1.08 end
% 0.71/1.08
% 0.71/1.08 factor: (441) {G2,W2,D2,L1,V1,M1} { alpha2( X ) }.
% 0.71/1.08 parent0[0, 1]: (440) {G2,W4,D2,L2,V1,M2} { alpha2( X ), alpha2( X ) }.
% 0.71/1.08 substitution0:
% 0.71/1.08 X := X
% 0.71/1.08 end
% 0.71/1.08
% 0.71/1.08 subsumption: (349) {G15,W2,D2,L1,V1,M1} R(343,13);r(91) { alpha2( X ) }.
% 0.71/1.08 parent0: (441) {G2,W2,D2,L1,V1,M1} { alpha2( X ) }.
% 0.71/1.08 substitution0:
% 0.71/1.08 X := X
% 0.71/1.08 end
% 0.71/1.08 permutation0:
% 0.71/1.08 0 ==> 0
% 0.71/1.08 end
% 0.71/1.08
% 0.71/1.08 resolution: (442) {G1,W4,D2,L2,V1,M2} { alpha4( X ), ! alpha3( X ) }.
% 0.71/1.08 parent0[1]: (7) {G0,W4,D2,L2,V1,M1} I { alpha4( X ), ! alpha7( X ) }.
% 0.71/1.08 parent1[1]: (344) {G14,W4,D2,L2,V1,M1} R(314,10) { ! alpha3( X ), alpha7( X
% 0.71/1.08 ) }.
% 0.71/1.08 substitution0:
% 0.71/1.08 X := X
% 0.71/1.08 end
% 0.71/1.08 substitution1:
% 0.71/1.08 X := X
% 0.71/1.08 end
% 0.71/1.08
% 0.71/1.08 resolution: (443) {G2,W4,D2,L2,V1,M2} { alpha4( X ), alpha4( X ) }.
% 0.71/1.08 parent0[1]: (442) {G1,W4,D2,L2,V1,M2} { alpha4( X ), ! alpha3( X ) }.
% 0.71/1.08 parent1[0]: (113) {G4,W4,D2,L2,V1,M1} F(109) { alpha3( X ), alpha4( X ) }.
% 0.71/1.08 substitution0:
% 0.71/1.08 X := X
% 0.71/1.08 end
% 0.71/1.08 substitution1:
% 0.71/1.08 X := X
% 0.71/1.08 end
% 0.71/1.08
% 0.71/1.08 factor: (444) {G2,W2,D2,L1,V1,M1} { alpha4( X ) }.
% 0.71/1.08 parent0[0, 1]: (443) {G2,W4,D2,L2,V1,M2} { alpha4( X ), alpha4( X ) }.
% 0.71/1.08 substitution0:
% 0.71/1.08 X := X
% 0.71/1.08 end
% 0.71/1.08
% 0.71/1.08 subsumption: (350) {G15,W2,D2,L1,V1,M1} R(344,7);r(113) { alpha4( X ) }.
% 0.71/1.08 parent0: (444) {G2,W2,D2,L1,V1,M1} { alpha4( X ) }.
% 0.71/1.08 substitution0:
% 0.71/1.08 X := X
% 0.71/1.08 end
% 0.71/1.08 permutation0:
% 0.71/1.08 0 ==> 0
% 0.71/1.08 end
% 0.71/1.08
% 0.71/1.08 resolution: (445) {G13,W2,D2,L1,V0,M1} { ! alpha2( skol1 ) }.
% 0.71/1.08 parent0[1]: (312) {G12,W4,D2,L2,V0,M1} R(311,4) { ! alpha2( skol1 ), !
% 0.71/1.08 alpha4( skol1 ) }.
% 0.71/1.08 parent1[0]: (350) {G15,W2,D2,L1,V1,M1} R(344,7);r(113) { alpha4( X ) }.
% 0.71/1.08 substitution0:
% 0.71/1.08 end
% 0.71/1.08 substitution1:
% 0.71/1.08 X := skol1
% 0.71/1.08 end
% 0.71/1.08
% 0.71/1.08 resolution: (446) {G14,W0,D0,L0,V0,M0} { }.
% 0.71/1.08 parent0[0]: (445) {G13,W2,D2,L1,V0,M1} { ! alpha2( skol1 ) }.
% 0.71/1.08 parent1[0]: (349) {G15,W2,D2,L1,V1,M1} R(343,13);r(91) { alpha2( X ) }.
% 0.71/1.08 substitution0:
% 0.71/1.08 end
% 0.71/1.08 substitution1:
% 0.71/1.08 X := skol1
% 0.71/1.08 end
% 0.71/1.08
% 0.71/1.08 subsumption: (351) {G16,W0,D0,L0,V0,M0} R(350,312);r(349) { }.
% 0.71/1.08 parent0: (446) {G14,W0,D0,L0,V0,M0} { }.
% 0.71/1.08 substitution0:
% 0.71/1.08 end
% 0.71/1.08 permutation0:
% 0.71/1.08 end
% 0.71/1.08
% 0.71/1.08 Proof check complete!
% 0.71/1.08
% 0.71/1.08 Memory use:
% 0.71/1.08
% 0.71/1.08 space for terms: 3846
% 0.71/1.08 space for clauses: 13793
% 0.71/1.08
% 0.71/1.08
% 0.71/1.08 clauses generated: 1120
% 0.71/1.08 clauses kept: 352
% 0.71/1.08 clauses selected: 170
% 0.71/1.08 clauses deleted: 20
% 0.71/1.08 clauses inuse deleted: 0
% 0.71/1.08
% 0.71/1.08 subsentry: 1528
% 0.71/1.08 literals s-matched: 1402
% 0.71/1.08 literals matched: 1402
% 0.71/1.08 full subsumption: 252
% 0.71/1.08
% 0.71/1.08 checksum: 1167943881
% 0.71/1.08
% 0.71/1.08
% 0.71/1.08 Bliksem ended
%------------------------------------------------------------------------------