TSTP Solution File: MGT058+1 by Bliksem---1.12
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%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : MGT058+1 : TPTP v8.1.0. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n024.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 : Sun Jul 17 21:57:57 EDT 2022
% Result : Theorem 0.75s 1.23s
% Output : Refutation 0.75s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : MGT058+1 : TPTP v8.1.0. Released v2.4.0.
% 0.07/0.13 % Command : bliksem %s
% 0.12/0.34 % Computer : n024.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % DateTime : Thu Jun 9 12:19:19 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.75/1.23 *** allocated 10000 integers for termspace/termends
% 0.75/1.23 *** allocated 10000 integers for clauses
% 0.75/1.23 *** allocated 10000 integers for justifications
% 0.75/1.23 Bliksem 1.12
% 0.75/1.23
% 0.75/1.23
% 0.75/1.23 Automatic Strategy Selection
% 0.75/1.23
% 0.75/1.23
% 0.75/1.23 Clauses:
% 0.75/1.23
% 0.75/1.23 { ! smaller_or_equal( X, Y ), smaller( X, Y ), X = Y }.
% 0.75/1.23 { ! smaller( X, Y ), smaller_or_equal( X, Y ) }.
% 0.75/1.23 { ! X = Y, smaller_or_equal( X, Y ) }.
% 0.75/1.23 { ! greater_or_equal( X, Y ), greater( X, Y ), X = Y }.
% 0.75/1.23 { ! greater( X, Y ), greater_or_equal( X, Y ) }.
% 0.75/1.23 { ! X = Y, greater_or_equal( X, Y ) }.
% 0.75/1.23 { ! smaller( X, Y ), greater( Y, X ) }.
% 0.75/1.23 { ! greater( Y, X ), smaller( X, Y ) }.
% 0.75/1.23 { ! greater( X, Y ), ! greater( Y, X ) }.
% 0.75/1.23 { ! greater( X, Z ), ! greater( Z, Y ), greater( X, Y ) }.
% 0.75/1.23 { smaller( X, Y ), X = Y, greater( X, Y ) }.
% 0.75/1.23 { ! fragile_position( X ), alpha1( X, Y ) }.
% 0.75/1.23 { ! fragile_position( X ), alpha3( X, Y ) }.
% 0.75/1.23 { ! alpha1( X, skol1( X ) ), ! alpha3( X, skol1( X ) ), fragile_position( X
% 0.75/1.23 ) }.
% 0.75/1.23 { ! alpha3( X, Y ), ! greater( age( X, Y ), sigma ), ! positional_advantage
% 0.75/1.23 ( X, Y ) }.
% 0.75/1.23 { greater( age( X, Y ), sigma ), alpha3( X, Y ) }.
% 0.75/1.23 { positional_advantage( X, Y ), alpha3( X, Y ) }.
% 0.75/1.23 { ! alpha1( X, Y ), ! smaller_or_equal( age( X, Y ), sigma ),
% 0.75/1.23 positional_advantage( X, Y ) }.
% 0.75/1.23 { smaller_or_equal( age( X, Y ), sigma ), alpha1( X, Y ) }.
% 0.75/1.23 { ! positional_advantage( X, Y ), alpha1( X, Y ) }.
% 0.75/1.23 { ! robust_position( X ), alpha2( X, Y ) }.
% 0.75/1.23 { ! robust_position( X ), alpha4( X, Y ) }.
% 0.75/1.23 { ! alpha2( X, skol2( X ) ), ! alpha4( X, skol2( X ) ), robust_position( X
% 0.75/1.23 ) }.
% 0.75/1.23 { ! alpha4( X, Y ), ! greater( age( X, Y ), tau ), positional_advantage( X
% 0.75/1.23 , Y ) }.
% 0.75/1.23 { greater( age( X, Y ), tau ), alpha4( X, Y ) }.
% 0.75/1.23 { ! positional_advantage( X, Y ), alpha4( X, Y ) }.
% 0.75/1.23 { ! alpha2( X, Y ), ! smaller_or_equal( age( X, Y ), tau ), !
% 0.75/1.23 positional_advantage( X, Y ) }.
% 0.75/1.23 { smaller_or_equal( age( X, Y ), tau ), alpha2( X, Y ) }.
% 0.75/1.23 { positional_advantage( X, Y ), alpha2( X, Y ) }.
% 0.75/1.23 { organization( skol3 ) }.
% 0.75/1.23 { age( skol3, skol4 ) = zero }.
% 0.75/1.23 { greater_or_equal( sigma, zero ) }.
% 0.75/1.23 { greater_or_equal( tau, zero ) }.
% 0.75/1.23 { fragile_position( skol3 ) }.
% 0.75/1.23 { robust_position( skol3 ) }.
% 0.75/1.23
% 0.75/1.23 percentage equality = 0.081081, percentage horn = 0.742857
% 0.75/1.23 This is a problem with some equality
% 0.75/1.23
% 0.75/1.23
% 0.75/1.23
% 0.75/1.23 Options Used:
% 0.75/1.23
% 0.75/1.23 useres = 1
% 0.75/1.23 useparamod = 1
% 0.75/1.23 useeqrefl = 1
% 0.75/1.23 useeqfact = 1
% 0.75/1.23 usefactor = 1
% 0.75/1.23 usesimpsplitting = 0
% 0.75/1.23 usesimpdemod = 5
% 0.75/1.23 usesimpres = 3
% 0.75/1.23
% 0.75/1.23 resimpinuse = 1000
% 0.75/1.23 resimpclauses = 20000
% 0.75/1.23 substype = eqrewr
% 0.75/1.23 backwardsubs = 1
% 0.75/1.23 selectoldest = 5
% 0.75/1.23
% 0.75/1.23 litorderings [0] = split
% 0.75/1.23 litorderings [1] = extend the termordering, first sorting on arguments
% 0.75/1.23
% 0.75/1.23 termordering = kbo
% 0.75/1.23
% 0.75/1.23 litapriori = 0
% 0.75/1.23 termapriori = 1
% 0.75/1.23 litaposteriori = 0
% 0.75/1.23 termaposteriori = 0
% 0.75/1.23 demodaposteriori = 0
% 0.75/1.23 ordereqreflfact = 0
% 0.75/1.23
% 0.75/1.23 litselect = negord
% 0.75/1.23
% 0.75/1.23 maxweight = 15
% 0.75/1.23 maxdepth = 30000
% 0.75/1.23 maxlength = 115
% 0.75/1.23 maxnrvars = 195
% 0.75/1.23 excuselevel = 1
% 0.75/1.23 increasemaxweight = 1
% 0.75/1.23
% 0.75/1.23 maxselected = 10000000
% 0.75/1.23 maxnrclauses = 10000000
% 0.75/1.23
% 0.75/1.23 showgenerated = 0
% 0.75/1.23 showkept = 0
% 0.75/1.23 showselected = 0
% 0.75/1.23 showdeleted = 0
% 0.75/1.23 showresimp = 1
% 0.75/1.23 showstatus = 2000
% 0.75/1.23
% 0.75/1.23 prologoutput = 0
% 0.75/1.23 nrgoals = 5000000
% 0.75/1.23 totalproof = 1
% 0.75/1.23
% 0.75/1.23 Symbols occurring in the translation:
% 0.75/1.23
% 0.75/1.23 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 0.75/1.23 . [1, 2] (w:1, o:26, a:1, s:1, b:0),
% 0.75/1.23 ! [4, 1] (w:0, o:16, a:1, s:1, b:0),
% 0.75/1.23 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.75/1.23 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.75/1.23 smaller_or_equal [37, 2] (w:1, o:50, a:1, s:1, b:0),
% 0.75/1.23 smaller [38, 2] (w:1, o:51, a:1, s:1, b:0),
% 0.75/1.23 greater_or_equal [39, 2] (w:1, o:52, a:1, s:1, b:0),
% 0.75/1.23 greater [40, 2] (w:1, o:53, a:1, s:1, b:0),
% 0.75/1.23 fragile_position [42, 1] (w:1, o:21, a:1, s:1, b:0),
% 0.75/1.23 age [44, 2] (w:1, o:54, a:1, s:1, b:0),
% 0.75/1.23 sigma [45, 0] (w:1, o:10, a:1, s:1, b:0),
% 0.75/1.23 positional_advantage [46, 2] (w:1, o:55, a:1, s:1, b:0),
% 0.75/1.23 robust_position [47, 1] (w:1, o:22, a:1, s:1, b:0),
% 0.75/1.23 tau [48, 0] (w:1, o:13, a:1, s:1, b:0),
% 0.75/1.23 organization [49, 1] (w:1, o:23, a:1, s:1, b:0),
% 0.75/1.23 zero [51, 0] (w:1, o:15, a:1, s:1, b:0),
% 0.75/1.23 alpha1 [52, 2] (w:1, o:56, a:1, s:1, b:1),
% 0.75/1.23 alpha2 [53, 2] (w:1, o:57, a:1, s:1, b:1),
% 0.75/1.23 alpha3 [54, 2] (w:1, o:58, a:1, s:1, b:1),
% 0.75/1.23 alpha4 [55, 2] (w:1, o:59, a:1, s:1, b:1),
% 0.75/1.23 skol1 [56, 1] (w:1, o:24, a:1, s:1, b:1),
% 0.75/1.23 skol2 [57, 1] (w:1, o:25, a:1, s:1, b:1),
% 0.75/1.23 skol3 [58, 0] (w:1, o:11, a:1, s:1, b:1),
% 0.75/1.23 skol4 [59, 0] (w:1, o:12, a:1, s:1, b:1).
% 0.75/1.23
% 0.75/1.23
% 0.75/1.23 Starting Search:
% 0.75/1.23
% 0.75/1.23 *** allocated 15000 integers for clauses
% 0.75/1.23 *** allocated 22500 integers for clauses
% 0.75/1.23 *** allocated 33750 integers for clauses
% 0.75/1.23 *** allocated 15000 integers for termspace/termends
% 0.75/1.23 *** allocated 50625 integers for clauses
% 0.75/1.23 Resimplifying inuse:
% 0.75/1.23 Done
% 0.75/1.23
% 0.75/1.23 *** allocated 22500 integers for termspace/termends
% 0.75/1.23 *** allocated 75937 integers for clauses
% 0.75/1.23 *** allocated 33750 integers for termspace/termends
% 0.75/1.23 *** allocated 113905 integers for clauses
% 0.75/1.23
% 0.75/1.23 Intermediate Status:
% 0.75/1.23 Generated: 4348
% 0.75/1.23 Kept: 2003
% 0.75/1.23 Inuse: 155
% 0.75/1.23 Deleted: 8
% 0.75/1.23 Deletedinuse: 4
% 0.75/1.23
% 0.75/1.23 Resimplifying inuse:
% 0.75/1.23 Done
% 0.75/1.23
% 0.75/1.23 *** allocated 50625 integers for termspace/termends
% 0.75/1.23
% 0.75/1.23 Bliksems!, er is een bewijs:
% 0.75/1.23 % SZS status Theorem
% 0.75/1.23 % SZS output start Refutation
% 0.75/1.23
% 0.75/1.23 (0) {G0,W9,D2,L3,V2,M3} I { ! smaller_or_equal( X, Y ), smaller( X, Y ), X
% 0.75/1.23 = Y }.
% 0.75/1.23 (1) {G0,W6,D2,L2,V2,M2} I { ! smaller( X, Y ), smaller_or_equal( X, Y ) }.
% 0.75/1.23 (2) {G0,W6,D2,L2,V2,M2} I { ! X = Y, smaller_or_equal( X, Y ) }.
% 0.75/1.23 (3) {G0,W9,D2,L3,V2,M3} I { ! greater_or_equal( X, Y ), greater( X, Y ), X
% 0.75/1.23 = Y }.
% 0.75/1.23 (6) {G0,W6,D2,L2,V2,M2} I { ! smaller( X, Y ), greater( Y, X ) }.
% 0.75/1.23 (7) {G0,W6,D2,L2,V2,M2} I { ! greater( Y, X ), smaller( X, Y ) }.
% 0.75/1.23 (8) {G0,W6,D2,L2,V2,M2} I { ! greater( X, Y ), ! greater( Y, X ) }.
% 0.75/1.23 (10) {G0,W9,D2,L3,V2,M3} I { smaller( X, Y ), X = Y, greater( X, Y ) }.
% 0.75/1.23 (11) {G0,W5,D2,L2,V2,M2} I { ! fragile_position( X ), alpha1( X, Y ) }.
% 0.75/1.23 (12) {G0,W5,D2,L2,V2,M2} I { ! fragile_position( X ), alpha3( X, Y ) }.
% 0.75/1.23 (14) {G0,W11,D3,L3,V2,M3} I { ! alpha3( X, Y ), ! greater( age( X, Y ),
% 0.75/1.23 sigma ), ! positional_advantage( X, Y ) }.
% 0.75/1.23 (17) {G0,W11,D3,L3,V2,M3} I { ! alpha1( X, Y ), ! smaller_or_equal( age( X
% 0.75/1.23 , Y ), sigma ), positional_advantage( X, Y ) }.
% 0.75/1.23 (20) {G0,W5,D2,L2,V2,M2} I { ! robust_position( X ), alpha2( X, Y ) }.
% 0.75/1.23 (26) {G0,W11,D3,L3,V2,M3} I { ! alpha2( X, Y ), ! smaller_or_equal( age( X
% 0.75/1.23 , Y ), tau ), ! positional_advantage( X, Y ) }.
% 0.75/1.23 (30) {G0,W5,D3,L1,V0,M1} I { age( skol3, skol4 ) ==> zero }.
% 0.75/1.23 (31) {G0,W3,D2,L1,V0,M1} I { greater_or_equal( sigma, zero ) }.
% 0.75/1.23 (32) {G0,W3,D2,L1,V0,M1} I { greater_or_equal( tau, zero ) }.
% 0.75/1.23 (33) {G0,W2,D2,L1,V0,M1} I { fragile_position( skol3 ) }.
% 0.75/1.23 (34) {G0,W2,D2,L1,V0,M1} I { robust_position( skol3 ) }.
% 0.75/1.23 (35) {G1,W3,D2,L1,V1,M1} Q(2) { smaller_or_equal( X, X ) }.
% 0.75/1.23 (53) {G1,W3,D2,L1,V1,M1} R(20,34) { alpha2( skol3, X ) }.
% 0.75/1.23 (54) {G1,W3,D2,L1,V1,M1} R(12,33) { alpha3( skol3, X ) }.
% 0.75/1.23 (55) {G1,W3,D2,L1,V1,M1} R(11,33) { alpha1( skol3, X ) }.
% 0.75/1.23 (61) {G1,W6,D2,L2,V0,M2} R(3,31) { greater( sigma, zero ), zero ==> sigma
% 0.75/1.23 }.
% 0.75/1.23 (62) {G1,W6,D2,L2,V0,M2} R(3,32) { greater( tau, zero ), zero ==> tau }.
% 0.75/1.23 (88) {G1,W6,D2,L2,V2,M2} R(7,1) { ! greater( X, Y ), smaller_or_equal( Y, X
% 0.75/1.23 ) }.
% 0.75/1.23 (90) {G1,W6,D2,L2,V2,M2} R(6,8) { ! smaller( X, Y ), ! greater( X, Y ) }.
% 0.75/1.23 (116) {G1,W6,D2,L2,V2,M2} R(10,2);r(1) { greater( X, Y ), smaller_or_equal
% 0.75/1.23 ( X, Y ) }.
% 0.75/1.23 (148) {G2,W6,D2,L2,V2,M2} R(116,88) { smaller_or_equal( X, Y ),
% 0.75/1.23 smaller_or_equal( Y, X ) }.
% 0.75/1.23 (149) {G2,W6,D2,L2,V2,M2} R(116,7) { smaller_or_equal( X, Y ), smaller( Y,
% 0.75/1.23 X ) }.
% 0.75/1.23 (150) {G2,W6,D2,L2,V0,M2} R(61,90) { zero ==> sigma, ! smaller( sigma, zero
% 0.75/1.23 ) }.
% 0.75/1.23 (186) {G2,W6,D2,L2,V0,M2} P(30,14);r(54) { ! greater( zero, sigma ), !
% 0.75/1.23 positional_advantage( skol3, skol4 ) }.
% 0.75/1.23 (193) {G3,W6,D2,L2,V0,M2} R(186,6) { ! positional_advantage( skol3, skol4 )
% 0.75/1.23 , ! smaller( sigma, zero ) }.
% 0.75/1.23 (356) {G4,W6,D2,L2,V0,M2} R(17,193);d(30);d(150);r(55) { ! smaller( sigma,
% 0.75/1.23 zero ), ! smaller_or_equal( sigma, sigma ) }.
% 0.75/1.23 (383) {G5,W3,D2,L1,V0,M1} S(356);r(35) { ! smaller( sigma, zero ) }.
% 0.75/1.23 (384) {G6,W3,D2,L1,V0,M1} R(383,149) { smaller_or_equal( zero, sigma ) }.
% 0.75/1.23 (754) {G2,W6,D2,L2,V0,M2} P(30,26);r(53) { ! smaller_or_equal( zero, tau )
% 0.75/1.23 , ! positional_advantage( skol3, skol4 ) }.
% 0.75/1.23 (1943) {G3,W6,D2,L2,V0,M2} R(754,148) { ! positional_advantage( skol3,
% 0.75/1.23 skol4 ), smaller_or_equal( tau, zero ) }.
% 0.75/1.23 (2317) {G2,W6,D2,L2,V0,M2} R(62,90) { zero ==> tau, ! smaller( tau, zero )
% 0.75/1.23 }.
% 0.75/1.23 (2509) {G3,W9,D2,L3,V0,M3} R(2317,0) { zero ==> tau, ! smaller_or_equal(
% 0.75/1.23 tau, zero ), zero ==> tau }.
% 0.75/1.23 (2603) {G4,W6,D2,L2,V0,M2} F(2509) { zero ==> tau, ! smaller_or_equal( tau
% 0.75/1.23 , zero ) }.
% 0.75/1.23 (2644) {G5,W6,D2,L2,V0,M2} P(2603,754);r(35) { ! positional_advantage(
% 0.75/1.23 skol3, skol4 ), ! smaller_or_equal( tau, zero ) }.
% 0.75/1.23 (2792) {G6,W3,D2,L1,V0,M1} S(2644);r(1943) { ! positional_advantage( skol3
% 0.75/1.23 , skol4 ) }.
% 0.75/1.23 (2794) {G7,W3,D2,L1,V0,M1} R(2792,17);d(30);r(55) { ! smaller_or_equal(
% 0.75/1.23 zero, sigma ) }.
% 0.75/1.23 (2855) {G8,W0,D0,L0,V0,M0} S(2794);r(384) { }.
% 0.75/1.23
% 0.75/1.23
% 0.75/1.23 % SZS output end Refutation
% 0.75/1.23 found a proof!
% 0.75/1.23
% 0.75/1.23
% 0.75/1.23 Unprocessed initial clauses:
% 0.75/1.23
% 0.75/1.23 (2857) {G0,W9,D2,L3,V2,M3} { ! smaller_or_equal( X, Y ), smaller( X, Y ),
% 0.75/1.23 X = Y }.
% 0.75/1.23 (2858) {G0,W6,D2,L2,V2,M2} { ! smaller( X, Y ), smaller_or_equal( X, Y )
% 0.75/1.23 }.
% 0.75/1.23 (2859) {G0,W6,D2,L2,V2,M2} { ! X = Y, smaller_or_equal( X, Y ) }.
% 0.75/1.23 (2860) {G0,W9,D2,L3,V2,M3} { ! greater_or_equal( X, Y ), greater( X, Y ),
% 0.75/1.23 X = Y }.
% 0.75/1.23 (2861) {G0,W6,D2,L2,V2,M2} { ! greater( X, Y ), greater_or_equal( X, Y )
% 0.75/1.23 }.
% 0.75/1.23 (2862) {G0,W6,D2,L2,V2,M2} { ! X = Y, greater_or_equal( X, Y ) }.
% 0.75/1.23 (2863) {G0,W6,D2,L2,V2,M2} { ! smaller( X, Y ), greater( Y, X ) }.
% 0.75/1.23 (2864) {G0,W6,D2,L2,V2,M2} { ! greater( Y, X ), smaller( X, Y ) }.
% 0.75/1.23 (2865) {G0,W6,D2,L2,V2,M2} { ! greater( X, Y ), ! greater( Y, X ) }.
% 0.75/1.23 (2866) {G0,W9,D2,L3,V3,M3} { ! greater( X, Z ), ! greater( Z, Y ), greater
% 0.75/1.23 ( X, Y ) }.
% 0.75/1.23 (2867) {G0,W9,D2,L3,V2,M3} { smaller( X, Y ), X = Y, greater( X, Y ) }.
% 0.75/1.23 (2868) {G0,W5,D2,L2,V2,M2} { ! fragile_position( X ), alpha1( X, Y ) }.
% 0.75/1.23 (2869) {G0,W5,D2,L2,V2,M2} { ! fragile_position( X ), alpha3( X, Y ) }.
% 0.75/1.23 (2870) {G0,W10,D3,L3,V1,M3} { ! alpha1( X, skol1( X ) ), ! alpha3( X,
% 0.75/1.23 skol1( X ) ), fragile_position( X ) }.
% 0.75/1.23 (2871) {G0,W11,D3,L3,V2,M3} { ! alpha3( X, Y ), ! greater( age( X, Y ),
% 0.75/1.23 sigma ), ! positional_advantage( X, Y ) }.
% 0.75/1.23 (2872) {G0,W8,D3,L2,V2,M2} { greater( age( X, Y ), sigma ), alpha3( X, Y )
% 0.75/1.23 }.
% 0.75/1.23 (2873) {G0,W6,D2,L2,V2,M2} { positional_advantage( X, Y ), alpha3( X, Y )
% 0.75/1.23 }.
% 0.75/1.23 (2874) {G0,W11,D3,L3,V2,M3} { ! alpha1( X, Y ), ! smaller_or_equal( age( X
% 0.75/1.23 , Y ), sigma ), positional_advantage( X, Y ) }.
% 0.75/1.23 (2875) {G0,W8,D3,L2,V2,M2} { smaller_or_equal( age( X, Y ), sigma ),
% 0.75/1.23 alpha1( X, Y ) }.
% 0.75/1.23 (2876) {G0,W6,D2,L2,V2,M2} { ! positional_advantage( X, Y ), alpha1( X, Y
% 0.75/1.23 ) }.
% 0.75/1.23 (2877) {G0,W5,D2,L2,V2,M2} { ! robust_position( X ), alpha2( X, Y ) }.
% 0.75/1.23 (2878) {G0,W5,D2,L2,V2,M2} { ! robust_position( X ), alpha4( X, Y ) }.
% 0.75/1.23 (2879) {G0,W10,D3,L3,V1,M3} { ! alpha2( X, skol2( X ) ), ! alpha4( X,
% 0.75/1.23 skol2( X ) ), robust_position( X ) }.
% 0.75/1.23 (2880) {G0,W11,D3,L3,V2,M3} { ! alpha4( X, Y ), ! greater( age( X, Y ),
% 0.75/1.23 tau ), positional_advantage( X, Y ) }.
% 0.75/1.23 (2881) {G0,W8,D3,L2,V2,M2} { greater( age( X, Y ), tau ), alpha4( X, Y )
% 0.75/1.23 }.
% 0.75/1.23 (2882) {G0,W6,D2,L2,V2,M2} { ! positional_advantage( X, Y ), alpha4( X, Y
% 0.75/1.23 ) }.
% 0.75/1.23 (2883) {G0,W11,D3,L3,V2,M3} { ! alpha2( X, Y ), ! smaller_or_equal( age( X
% 0.75/1.23 , Y ), tau ), ! positional_advantage( X, Y ) }.
% 0.75/1.23 (2884) {G0,W8,D3,L2,V2,M2} { smaller_or_equal( age( X, Y ), tau ), alpha2
% 0.75/1.23 ( X, Y ) }.
% 0.75/1.23 (2885) {G0,W6,D2,L2,V2,M2} { positional_advantage( X, Y ), alpha2( X, Y )
% 0.75/1.23 }.
% 0.75/1.23 (2886) {G0,W2,D2,L1,V0,M1} { organization( skol3 ) }.
% 0.75/1.23 (2887) {G0,W5,D3,L1,V0,M1} { age( skol3, skol4 ) = zero }.
% 0.75/1.23 (2888) {G0,W3,D2,L1,V0,M1} { greater_or_equal( sigma, zero ) }.
% 0.75/1.23 (2889) {G0,W3,D2,L1,V0,M1} { greater_or_equal( tau, zero ) }.
% 0.75/1.23 (2890) {G0,W2,D2,L1,V0,M1} { fragile_position( skol3 ) }.
% 0.75/1.23 (2891) {G0,W2,D2,L1,V0,M1} { robust_position( skol3 ) }.
% 0.75/1.23
% 0.75/1.23
% 0.75/1.23 Total Proof:
% 0.75/1.23
% 0.75/1.23 subsumption: (0) {G0,W9,D2,L3,V2,M3} I { ! smaller_or_equal( X, Y ),
% 0.75/1.23 smaller( X, Y ), X = Y }.
% 0.75/1.23 parent0: (2857) {G0,W9,D2,L3,V2,M3} { ! smaller_or_equal( X, Y ), smaller
% 0.75/1.23 ( X, Y ), X = Y }.
% 0.75/1.23 substitution0:
% 0.75/1.23 X := X
% 0.75/1.23 Y := Y
% 0.75/1.23 end
% 0.75/1.23 permutation0:
% 0.75/1.23 0 ==> 0
% 0.75/1.23 1 ==> 1
% 0.75/1.23 2 ==> 2
% 0.75/1.23 end
% 0.75/1.23
% 0.75/1.23 subsumption: (1) {G0,W6,D2,L2,V2,M2} I { ! smaller( X, Y ),
% 0.75/1.23 smaller_or_equal( X, Y ) }.
% 0.75/1.23 parent0: (2858) {G0,W6,D2,L2,V2,M2} { ! smaller( X, Y ), smaller_or_equal
% 0.75/1.23 ( X, Y ) }.
% 0.75/1.23 substitution0:
% 0.75/1.23 X := X
% 0.75/1.23 Y := Y
% 0.75/1.23 end
% 0.75/1.23 permutation0:
% 0.75/1.23 0 ==> 0
% 0.75/1.23 1 ==> 1
% 0.75/1.23 end
% 0.75/1.23
% 0.75/1.23 subsumption: (2) {G0,W6,D2,L2,V2,M2} I { ! X = Y, smaller_or_equal( X, Y )
% 0.75/1.23 }.
% 0.75/1.23 parent0: (2859) {G0,W6,D2,L2,V2,M2} { ! X = Y, smaller_or_equal( X, Y )
% 0.75/1.23 }.
% 0.75/1.23 substitution0:
% 0.75/1.23 X := X
% 0.75/1.23 Y := Y
% 0.75/1.23 end
% 0.75/1.23 permutation0:
% 0.75/1.23 0 ==> 0
% 0.75/1.23 1 ==> 1
% 0.75/1.23 end
% 0.75/1.23
% 0.75/1.23 subsumption: (3) {G0,W9,D2,L3,V2,M3} I { ! greater_or_equal( X, Y ),
% 0.75/1.23 greater( X, Y ), X = Y }.
% 0.75/1.23 parent0: (2860) {G0,W9,D2,L3,V2,M3} { ! greater_or_equal( X, Y ), greater
% 0.75/1.23 ( X, Y ), X = Y }.
% 0.75/1.23 substitution0:
% 0.75/1.23 X := X
% 0.75/1.23 Y := Y
% 0.75/1.23 end
% 0.75/1.23 permutation0:
% 0.75/1.23 0 ==> 0
% 0.75/1.23 1 ==> 1
% 0.75/1.23 2 ==> 2
% 0.75/1.23 end
% 0.75/1.23
% 0.75/1.23 subsumption: (6) {G0,W6,D2,L2,V2,M2} I { ! smaller( X, Y ), greater( Y, X )
% 0.75/1.23 }.
% 0.75/1.23 parent0: (2863) {G0,W6,D2,L2,V2,M2} { ! smaller( X, Y ), greater( Y, X )
% 0.75/1.23 }.
% 0.75/1.23 substitution0:
% 0.75/1.23 X := X
% 0.75/1.23 Y := Y
% 0.75/1.23 end
% 0.75/1.23 permutation0:
% 0.75/1.23 0 ==> 0
% 0.75/1.23 1 ==> 1
% 0.75/1.23 end
% 0.75/1.23
% 0.75/1.23 subsumption: (7) {G0,W6,D2,L2,V2,M2} I { ! greater( Y, X ), smaller( X, Y )
% 0.75/1.23 }.
% 0.75/1.23 parent0: (2864) {G0,W6,D2,L2,V2,M2} { ! greater( Y, X ), smaller( X, Y )
% 0.75/1.23 }.
% 0.75/1.23 substitution0:
% 0.75/1.23 X := X
% 0.75/1.23 Y := Y
% 0.75/1.23 end
% 0.75/1.23 permutation0:
% 0.75/1.23 0 ==> 0
% 0.75/1.23 1 ==> 1
% 0.75/1.23 end
% 0.75/1.23
% 0.75/1.23 subsumption: (8) {G0,W6,D2,L2,V2,M2} I { ! greater( X, Y ), ! greater( Y, X
% 0.75/1.23 ) }.
% 0.75/1.23 parent0: (2865) {G0,W6,D2,L2,V2,M2} { ! greater( X, Y ), ! greater( Y, X )
% 0.75/1.23 }.
% 0.75/1.23 substitution0:
% 0.75/1.23 X := X
% 0.75/1.23 Y := Y
% 0.75/1.23 end
% 0.75/1.23 permutation0:
% 0.75/1.23 0 ==> 0
% 0.75/1.23 1 ==> 1
% 0.75/1.23 end
% 0.75/1.23
% 0.75/1.23 subsumption: (10) {G0,W9,D2,L3,V2,M3} I { smaller( X, Y ), X = Y, greater(
% 0.75/1.23 X, Y ) }.
% 0.75/1.23 parent0: (2867) {G0,W9,D2,L3,V2,M3} { smaller( X, Y ), X = Y, greater( X,
% 0.75/1.23 Y ) }.
% 0.75/1.23 substitution0:
% 0.75/1.23 X := X
% 0.75/1.23 Y := Y
% 0.75/1.23 end
% 0.75/1.23 permutation0:
% 0.75/1.23 0 ==> 0
% 0.75/1.23 1 ==> 1
% 0.75/1.23 2 ==> 2
% 0.75/1.23 end
% 0.75/1.23
% 0.75/1.23 *** allocated 170857 integers for clauses
% 0.75/1.23 subsumption: (11) {G0,W5,D2,L2,V2,M2} I { ! fragile_position( X ), alpha1(
% 0.75/1.23 X, Y ) }.
% 0.75/1.23 parent0: (2868) {G0,W5,D2,L2,V2,M2} { ! fragile_position( X ), alpha1( X,
% 0.75/1.23 Y ) }.
% 0.75/1.23 substitution0:
% 0.75/1.23 X := X
% 0.75/1.23 Y := Y
% 0.75/1.23 end
% 0.75/1.23 permutation0:
% 0.75/1.23 0 ==> 0
% 0.75/1.23 1 ==> 1
% 0.75/1.23 end
% 0.75/1.23
% 0.75/1.23 subsumption: (12) {G0,W5,D2,L2,V2,M2} I { ! fragile_position( X ), alpha3(
% 0.75/1.23 X, Y ) }.
% 0.75/1.23 parent0: (2869) {G0,W5,D2,L2,V2,M2} { ! fragile_position( X ), alpha3( X,
% 0.75/1.23 Y ) }.
% 0.75/1.23 substitution0:
% 0.75/1.23 X := X
% 0.75/1.23 Y := Y
% 0.75/1.23 end
% 0.75/1.23 permutation0:
% 0.75/1.23 0 ==> 0
% 0.75/1.23 1 ==> 1
% 0.75/1.23 end
% 0.75/1.23
% 0.75/1.23 subsumption: (14) {G0,W11,D3,L3,V2,M3} I { ! alpha3( X, Y ), ! greater( age
% 0.75/1.23 ( X, Y ), sigma ), ! positional_advantage( X, Y ) }.
% 0.75/1.23 parent0: (2871) {G0,W11,D3,L3,V2,M3} { ! alpha3( X, Y ), ! greater( age( X
% 0.75/1.23 , Y ), sigma ), ! positional_advantage( X, Y ) }.
% 0.75/1.23 substitution0:
% 0.75/1.23 X := X
% 0.75/1.23 Y := Y
% 0.75/1.23 end
% 0.75/1.23 permutation0:
% 0.75/1.23 0 ==> 0
% 0.75/1.23 1 ==> 1
% 0.75/1.23 2 ==> 2
% 0.75/1.23 end
% 0.75/1.23
% 0.75/1.23 subsumption: (17) {G0,W11,D3,L3,V2,M3} I { ! alpha1( X, Y ), !
% 0.75/1.23 smaller_or_equal( age( X, Y ), sigma ), positional_advantage( X, Y ) }.
% 0.75/1.23 parent0: (2874) {G0,W11,D3,L3,V2,M3} { ! alpha1( X, Y ), !
% 0.75/1.23 smaller_or_equal( age( X, Y ), sigma ), positional_advantage( X, Y ) }.
% 0.75/1.23 substitution0:
% 0.75/1.23 X := X
% 0.75/1.23 Y := Y
% 0.75/1.23 end
% 0.75/1.23 permutation0:
% 0.75/1.23 0 ==> 0
% 0.75/1.23 1 ==> 1
% 0.75/1.23 2 ==> 2
% 0.75/1.23 end
% 0.75/1.23
% 0.75/1.23 subsumption: (20) {G0,W5,D2,L2,V2,M2} I { ! robust_position( X ), alpha2( X
% 0.75/1.23 , Y ) }.
% 0.75/1.23 parent0: (2877) {G0,W5,D2,L2,V2,M2} { ! robust_position( X ), alpha2( X, Y
% 0.75/1.23 ) }.
% 0.75/1.23 substitution0:
% 0.75/1.23 X := X
% 0.75/1.23 Y := Y
% 0.75/1.23 end
% 0.75/1.23 permutation0:
% 0.75/1.23 0 ==> 0
% 0.75/1.23 1 ==> 1
% 0.75/1.23 end
% 0.75/1.23
% 0.75/1.23 subsumption: (26) {G0,W11,D3,L3,V2,M3} I { ! alpha2( X, Y ), !
% 0.75/1.23 smaller_or_equal( age( X, Y ), tau ), ! positional_advantage( X, Y ) }.
% 0.75/1.23 parent0: (2883) {G0,W11,D3,L3,V2,M3} { ! alpha2( X, Y ), !
% 0.75/1.23 smaller_or_equal( age( X, Y ), tau ), ! positional_advantage( X, Y ) }.
% 0.75/1.23 substitution0:
% 0.75/1.23 X := X
% 0.75/1.23 Y := Y
% 0.75/1.23 end
% 0.75/1.23 permutation0:
% 0.75/1.23 0 ==> 0
% 0.75/1.23 1 ==> 1
% 0.75/1.23 2 ==> 2
% 0.75/1.23 end
% 0.75/1.23
% 0.75/1.23 subsumption: (30) {G0,W5,D3,L1,V0,M1} I { age( skol3, skol4 ) ==> zero }.
% 0.75/1.23 parent0: (2887) {G0,W5,D3,L1,V0,M1} { age( skol3, skol4 ) = zero }.
% 0.75/1.23 substitution0:
% 0.75/1.23 end
% 0.75/1.23 permutation0:
% 0.75/1.23 0 ==> 0
% 0.75/1.23 end
% 0.75/1.23
% 0.75/1.23 subsumption: (31) {G0,W3,D2,L1,V0,M1} I { greater_or_equal( sigma, zero )
% 0.75/1.23 }.
% 0.75/1.23 parent0: (2888) {G0,W3,D2,L1,V0,M1} { greater_or_equal( sigma, zero ) }.
% 0.75/1.23 substitution0:
% 0.75/1.23 end
% 0.75/1.23 permutation0:
% 0.75/1.23 0 ==> 0
% 0.75/1.23 end
% 0.75/1.23
% 0.75/1.23 subsumption: (32) {G0,W3,D2,L1,V0,M1} I { greater_or_equal( tau, zero ) }.
% 0.75/1.23 parent0: (2889) {G0,W3,D2,L1,V0,M1} { greater_or_equal( tau, zero ) }.
% 0.75/1.23 substitution0:
% 0.75/1.23 end
% 0.75/1.23 permutation0:
% 0.75/1.23 0 ==> 0
% 0.75/1.23 end
% 0.75/1.23
% 0.75/1.23 subsumption: (33) {G0,W2,D2,L1,V0,M1} I { fragile_position( skol3 ) }.
% 0.75/1.23 parent0: (2890) {G0,W2,D2,L1,V0,M1} { fragile_position( skol3 ) }.
% 0.75/1.23 substitution0:
% 0.75/1.23 end
% 0.75/1.23 permutation0:
% 0.75/1.23 0 ==> 0
% 0.75/1.23 end
% 0.75/1.23
% 0.75/1.23 subsumption: (34) {G0,W2,D2,L1,V0,M1} I { robust_position( skol3 ) }.
% 0.75/1.23 parent0: (2891) {G0,W2,D2,L1,V0,M1} { robust_position( skol3 ) }.
% 0.75/1.23 substitution0:
% 0.75/1.23 end
% 0.75/1.23 permutation0:
% 0.75/1.23 0 ==> 0
% 0.75/1.23 end
% 0.75/1.23
% 0.75/1.23 eqswap: (3001) {G0,W6,D2,L2,V2,M2} { ! Y = X, smaller_or_equal( X, Y ) }.
% 0.75/1.23 parent0[0]: (2) {G0,W6,D2,L2,V2,M2} I { ! X = Y, smaller_or_equal( X, Y )
% 0.75/1.23 }.
% 0.75/1.23 substitution0:
% 0.75/1.23 X := X
% 0.75/1.23 Y := Y
% 0.75/1.23 end
% 0.75/1.23
% 0.75/1.23 eqrefl: (3002) {G0,W3,D2,L1,V1,M1} { smaller_or_equal( X, X ) }.
% 0.75/1.23 parent0[0]: (3001) {G0,W6,D2,L2,V2,M2} { ! Y = X, smaller_or_equal( X, Y )
% 0.75/1.23 }.
% 0.75/1.23 substitution0:
% 0.75/1.23 X := X
% 0.75/1.23 Y := X
% 0.75/1.23 end
% 0.75/1.23
% 0.75/1.23 subsumption: (35) {G1,W3,D2,L1,V1,M1} Q(2) { smaller_or_equal( X, X ) }.
% 0.75/1.23 parent0: (3002) {G0,W3,D2,L1,V1,M1} { smaller_or_equal( X, X ) }.
% 0.75/1.23 substitution0:
% 0.75/1.23 X := X
% 0.75/1.23 end
% 0.75/1.23 permutation0:
% 0.75/1.23 0 ==> 0
% 0.75/1.23 end
% 0.75/1.23
% 0.75/1.23 resolution: (3003) {G1,W3,D2,L1,V1,M1} { alpha2( skol3, X ) }.
% 0.75/1.23 parent0[0]: (20) {G0,W5,D2,L2,V2,M2} I { ! robust_position( X ), alpha2( X
% 0.75/1.23 , Y ) }.
% 0.75/1.23 parent1[0]: (34) {G0,W2,D2,L1,V0,M1} I { robust_position( skol3 ) }.
% 0.75/1.23 substitution0:
% 0.75/1.23 X := skol3
% 0.75/1.23 Y := X
% 0.75/1.23 end
% 0.75/1.23 substitution1:
% 0.75/1.23 end
% 0.75/1.23
% 0.75/1.23 subsumption: (53) {G1,W3,D2,L1,V1,M1} R(20,34) { alpha2( skol3, X ) }.
% 0.75/1.23 parent0: (3003) {G1,W3,D2,L1,V1,M1} { alpha2( skol3, X ) }.
% 0.75/1.23 substitution0:
% 0.75/1.23 X := X
% 0.75/1.23 end
% 0.75/1.23 permutation0:
% 0.75/1.23 0 ==> 0
% 0.75/1.23 end
% 0.75/1.23
% 0.75/1.23 resolution: (3004) {G1,W3,D2,L1,V1,M1} { alpha3( skol3, X ) }.
% 0.75/1.23 parent0[0]: (12) {G0,W5,D2,L2,V2,M2} I { ! fragile_position( X ), alpha3( X
% 0.75/1.23 , Y ) }.
% 0.75/1.23 parent1[0]: (33) {G0,W2,D2,L1,V0,M1} I { fragile_position( skol3 ) }.
% 0.75/1.23 substitution0:
% 0.75/1.23 X := skol3
% 0.75/1.23 Y := X
% 0.75/1.23 end
% 0.75/1.23 substitution1:
% 0.75/1.23 end
% 0.75/1.23
% 0.75/1.23 subsumption: (54) {G1,W3,D2,L1,V1,M1} R(12,33) { alpha3( skol3, X ) }.
% 0.75/1.23 parent0: (3004) {G1,W3,D2,L1,V1,M1} { alpha3( skol3, X ) }.
% 0.75/1.23 substitution0:
% 0.75/1.23 X := X
% 0.75/1.23 end
% 0.75/1.23 permutation0:
% 0.75/1.23 0 ==> 0
% 0.75/1.23 end
% 0.75/1.23
% 0.75/1.23 resolution: (3005) {G1,W3,D2,L1,V1,M1} { alpha1( skol3, X ) }.
% 0.75/1.23 parent0[0]: (11) {G0,W5,D2,L2,V2,M2} I { ! fragile_position( X ), alpha1( X
% 0.75/1.23 , Y ) }.
% 0.75/1.23 parent1[0]: (33) {G0,W2,D2,L1,V0,M1} I { fragile_position( skol3 ) }.
% 0.75/1.23 substitution0:
% 0.75/1.23 X := skol3
% 0.75/1.23 Y := X
% 0.75/1.23 end
% 0.75/1.23 substitution1:
% 0.75/1.23 end
% 0.75/1.23
% 0.75/1.23 subsumption: (55) {G1,W3,D2,L1,V1,M1} R(11,33) { alpha1( skol3, X ) }.
% 0.75/1.23 parent0: (3005) {G1,W3,D2,L1,V1,M1} { alpha1( skol3, X ) }.
% 0.75/1.23 substitution0:
% 0.75/1.23 X := X
% 0.75/1.23 end
% 0.75/1.23 permutation0:
% 0.75/1.23 0 ==> 0
% 0.75/1.23 end
% 0.75/1.23
% 0.75/1.23 eqswap: (3006) {G0,W9,D2,L3,V2,M3} { Y = X, ! greater_or_equal( X, Y ),
% 0.75/1.23 greater( X, Y ) }.
% 0.75/1.23 parent0[2]: (3) {G0,W9,D2,L3,V2,M3} I { ! greater_or_equal( X, Y ), greater
% 0.75/1.23 ( X, Y ), X = Y }.
% 0.75/1.23 substitution0:
% 0.75/1.23 X := X
% 0.75/1.23 Y := Y
% 0.75/1.23 end
% 0.75/1.23
% 0.75/1.23 resolution: (3007) {G1,W6,D2,L2,V0,M2} { zero = sigma, greater( sigma,
% 0.75/1.23 zero ) }.
% 0.75/1.23 parent0[1]: (3006) {G0,W9,D2,L3,V2,M3} { Y = X, ! greater_or_equal( X, Y )
% 0.75/1.23 , greater( X, Y ) }.
% 0.75/1.23 parent1[0]: (31) {G0,W3,D2,L1,V0,M1} I { greater_or_equal( sigma, zero )
% 0.75/1.23 }.
% 0.75/1.23 substitution0:
% 0.75/1.23 X := sigma
% 0.75/1.23 Y := zero
% 0.75/1.23 end
% 0.75/1.23 substitution1:
% 0.75/1.23 end
% 0.75/1.23
% 0.75/1.23 subsumption: (61) {G1,W6,D2,L2,V0,M2} R(3,31) { greater( sigma, zero ),
% 0.75/1.23 zero ==> sigma }.
% 0.75/1.23 parent0: (3007) {G1,W6,D2,L2,V0,M2} { zero = sigma, greater( sigma, zero )
% 0.75/1.23 }.
% 0.75/1.23 substitution0:
% 0.75/1.23 end
% 0.75/1.23 permutation0:
% 0.75/1.23 0 ==> 1
% 0.75/1.23 1 ==> 0
% 0.75/1.23 end
% 0.75/1.23
% 0.75/1.23 eqswap: (3009) {G0,W9,D2,L3,V2,M3} { Y = X, ! greater_or_equal( X, Y ),
% 0.75/1.23 greater( X, Y ) }.
% 0.75/1.23 parent0[2]: (3) {G0,W9,D2,L3,V2,M3} I { ! greater_or_equal( X, Y ), greater
% 0.75/1.23 ( X, Y ), X = Y }.
% 0.75/1.23 substitution0:
% 0.75/1.23 X := X
% 0.75/1.23 Y := Y
% 0.75/1.23 end
% 0.75/1.23
% 0.75/1.23 resolution: (3010) {G1,W6,D2,L2,V0,M2} { zero = tau, greater( tau, zero )
% 0.75/1.23 }.
% 0.75/1.23 parent0[1]: (3009) {G0,W9,D2,L3,V2,M3} { Y = X, ! greater_or_equal( X, Y )
% 0.75/1.23 , greater( X, Y ) }.
% 0.75/1.23 parent1[0]: (32) {G0,W3,D2,L1,V0,M1} I { greater_or_equal( tau, zero ) }.
% 0.75/1.23 substitution0:
% 0.75/1.23 X := tau
% 0.75/1.23 Y := zero
% 0.75/1.23 end
% 0.75/1.23 substitution1:
% 0.75/1.23 end
% 0.75/1.23
% 0.75/1.23 subsumption: (62) {G1,W6,D2,L2,V0,M2} R(3,32) { greater( tau, zero ), zero
% 0.75/1.23 ==> tau }.
% 0.75/1.23 parent0: (3010) {G1,W6,D2,L2,V0,M2} { zero = tau, greater( tau, zero ) }.
% 0.75/1.23 substitution0:
% 0.75/1.23 end
% 0.75/1.23 permutation0:
% 0.75/1.23 0 ==> 1
% 0.75/1.23 1 ==> 0
% 0.75/1.23 end
% 0.75/1.23
% 0.75/1.23 resolution: (3012) {G1,W6,D2,L2,V2,M2} { smaller_or_equal( X, Y ), !
% 0.75/1.23 greater( Y, X ) }.
% 0.75/1.23 parent0[0]: (1) {G0,W6,D2,L2,V2,M2} I { ! smaller( X, Y ), smaller_or_equal
% 0.75/1.23 ( X, Y ) }.
% 0.75/1.23 parent1[1]: (7) {G0,W6,D2,L2,V2,M2} I { ! greater( Y, X ), smaller( X, Y )
% 0.75/1.23 }.
% 0.75/1.23 substitution0:
% 0.75/1.23 X := X
% 0.75/1.23 Y := Y
% 0.75/1.23 end
% 0.75/1.23 substitution1:
% 0.75/1.23 X := X
% 0.75/1.23 Y := Y
% 0.75/1.23 end
% 0.75/1.23
% 0.75/1.23 subsumption: (88) {G1,W6,D2,L2,V2,M2} R(7,1) { ! greater( X, Y ),
% 0.75/1.23 smaller_or_equal( Y, X ) }.
% 0.75/1.23 parent0: (3012) {G1,W6,D2,L2,V2,M2} { smaller_or_equal( X, Y ), ! greater
% 0.75/1.23 ( Y, X ) }.
% 0.75/1.23 substitution0:
% 0.75/1.23 X := Y
% 0.75/1.23 Y := X
% 0.75/1.23 end
% 0.75/1.23 permutation0:
% 0.75/1.23 0 ==> 1
% 0.75/1.23 1 ==> 0
% 0.75/1.23 end
% 0.75/1.23
% 0.75/1.23 resolution: (3013) {G1,W6,D2,L2,V2,M2} { ! greater( Y, X ), ! smaller( Y,
% 0.75/1.23 X ) }.
% 0.75/1.23 parent0[0]: (8) {G0,W6,D2,L2,V2,M2} I { ! greater( X, Y ), ! greater( Y, X
% 0.75/1.23 ) }.
% 0.75/1.23 parent1[1]: (6) {G0,W6,D2,L2,V2,M2} I { ! smaller( X, Y ), greater( Y, X )
% 0.75/1.23 }.
% 0.75/1.23 substitution0:
% 0.75/1.23 X := X
% 0.75/1.23 Y := Y
% 0.75/1.23 end
% 0.75/1.23 substitution1:
% 0.75/1.23 X := Y
% 0.75/1.23 Y := X
% 0.75/1.23 end
% 0.75/1.23
% 0.75/1.23 subsumption: (90) {G1,W6,D2,L2,V2,M2} R(6,8) { ! smaller( X, Y ), ! greater
% 0.75/1.23 ( X, Y ) }.
% 0.75/1.23 parent0: (3013) {G1,W6,D2,L2,V2,M2} { ! greater( Y, X ), ! smaller( Y, X )
% 0.75/1.23 }.
% 0.75/1.23 substitution0:
% 0.75/1.23 X := Y
% 0.75/1.23 Y := X
% 0.75/1.23 end
% 0.75/1.23 permutation0:
% 0.75/1.23 0 ==> 1
% 0.75/1.23 1 ==> 0
% 0.75/1.23 end
% 0.75/1.23
% 0.75/1.23 eqswap: (3014) {G0,W9,D2,L3,V2,M3} { Y = X, smaller( X, Y ), greater( X, Y
% 0.75/1.23 ) }.
% 0.75/1.23 parent0[1]: (10) {G0,W9,D2,L3,V2,M3} I { smaller( X, Y ), X = Y, greater( X
% 0.75/1.23 , Y ) }.
% 0.75/1.23 substitution0:
% 0.75/1.23 X := X
% 0.75/1.23 Y := Y
% 0.75/1.23 end
% 0.75/1.23
% 0.75/1.23 eqswap: (3015) {G0,W6,D2,L2,V2,M2} { ! Y = X, smaller_or_equal( X, Y ) }.
% 0.75/1.23 parent0[0]: (2) {G0,W6,D2,L2,V2,M2} I { ! X = Y, smaller_or_equal( X, Y )
% 0.75/1.23 }.
% 0.75/1.23 substitution0:
% 0.75/1.23 X := X
% 0.75/1.23 Y := Y
% 0.75/1.23 end
% 0.75/1.23
% 0.75/1.23 resolution: (3016) {G1,W9,D2,L3,V2,M3} { smaller_or_equal( Y, X ), smaller
% 0.75/1.23 ( Y, X ), greater( Y, X ) }.
% 0.75/1.23 parent0[0]: (3015) {G0,W6,D2,L2,V2,M2} { ! Y = X, smaller_or_equal( X, Y )
% 0.75/1.23 }.
% 0.75/1.23 parent1[0]: (3014) {G0,W9,D2,L3,V2,M3} { Y = X, smaller( X, Y ), greater(
% 0.75/1.23 X, Y ) }.
% 0.75/1.23 substitution0:
% 0.75/1.23 X := Y
% 0.75/1.23 Y := X
% 0.75/1.23 end
% 0.75/1.23 substitution1:
% 0.75/1.23 X := Y
% 0.75/1.23 Y := X
% 0.75/1.23 end
% 0.75/1.23
% 0.75/1.23 resolution: (3017) {G1,W9,D2,L3,V2,M3} { smaller_or_equal( X, Y ),
% 0.75/1.23 smaller_or_equal( X, Y ), greater( X, Y ) }.
% 0.75/1.23 parent0[0]: (1) {G0,W6,D2,L2,V2,M2} I { ! smaller( X, Y ), smaller_or_equal
% 0.75/1.23 ( X, Y ) }.
% 0.75/1.23 parent1[1]: (3016) {G1,W9,D2,L3,V2,M3} { smaller_or_equal( Y, X ), smaller
% 0.75/1.23 ( Y, X ), greater( Y, X ) }.
% 0.75/1.23 substitution0:
% 0.75/1.23 X := X
% 0.75/1.23 Y := Y
% 0.75/1.23 end
% 0.75/1.23 substitution1:
% 0.75/1.23 X := Y
% 0.75/1.23 Y := X
% 0.75/1.23 end
% 0.75/1.23
% 0.75/1.23 factor: (3018) {G1,W6,D2,L2,V2,M2} { smaller_or_equal( X, Y ), greater( X
% 0.75/1.23 , Y ) }.
% 0.75/1.23 parent0[0, 1]: (3017) {G1,W9,D2,L3,V2,M3} { smaller_or_equal( X, Y ),
% 0.75/1.23 smaller_or_equal( X, Y ), greater( X, Y ) }.
% 0.75/1.23 substitution0:
% 0.75/1.23 X := X
% 0.75/1.23 Y := Y
% 0.75/1.23 end
% 0.75/1.23
% 0.75/1.23 subsumption: (116) {G1,W6,D2,L2,V2,M2} R(10,2);r(1) { greater( X, Y ),
% 0.75/1.23 smaller_or_equal( X, Y ) }.
% 0.75/1.23 parent0: (3018) {G1,W6,D2,L2,V2,M2} { smaller_or_equal( X, Y ), greater( X
% 0.75/1.23 , Y ) }.
% 0.75/1.23 substitution0:
% 0.75/1.23 X := X
% 0.75/1.23 Y := Y
% 0.75/1.23 end
% 0.75/1.23 permutation0:
% 0.75/1.23 0 ==> 1
% 0.75/1.23 1 ==> 0
% 0.75/1.23 end
% 0.75/1.23
% 0.75/1.23 resolution: (3019) {G2,W6,D2,L2,V2,M2} { smaller_or_equal( Y, X ),
% 0.75/1.23 smaller_or_equal( X, Y ) }.
% 0.75/1.23 parent0[0]: (88) {G1,W6,D2,L2,V2,M2} R(7,1) { ! greater( X, Y ),
% 0.75/1.23 smaller_or_equal( Y, X ) }.
% 0.75/1.23 parent1[0]: (116) {G1,W6,D2,L2,V2,M2} R(10,2);r(1) { greater( X, Y ),
% 0.75/1.23 smaller_or_equal( X, Y ) }.
% 0.75/1.23 substitution0:
% 0.75/1.23 X := X
% 0.75/1.23 Y := Y
% 0.75/1.23 end
% 0.75/1.23 substitution1:
% 0.75/1.23 X := X
% 0.75/1.23 Y := Y
% 0.75/1.23 end
% 0.75/1.23
% 0.75/1.23 subsumption: (148) {G2,W6,D2,L2,V2,M2} R(116,88) { smaller_or_equal( X, Y )
% 0.75/1.23 , smaller_or_equal( Y, X ) }.
% 0.75/1.23 parent0: (3019) {G2,W6,D2,L2,V2,M2} { smaller_or_equal( Y, X ),
% 0.75/1.23 smaller_or_equal( X, Y ) }.
% 0.75/1.23 substitution0:
% 0.75/1.23 X := Y
% 0.75/1.23 Y := X
% 0.75/1.23 end
% 0.75/1.23 permutation0:
% 0.75/1.23 0 ==> 0
% 0.75/1.23 1 ==> 1
% 0.75/1.23 end
% 0.75/1.23
% 0.75/1.23 resolution: (3021) {G1,W6,D2,L2,V2,M2} { smaller( Y, X ), smaller_or_equal
% 0.75/1.23 ( X, Y ) }.
% 0.75/1.23 parent0[0]: (7) {G0,W6,D2,L2,V2,M2} I { ! greater( Y, X ), smaller( X, Y )
% 0.75/1.23 }.
% 0.75/1.23 parent1[0]: (116) {G1,W6,D2,L2,V2,M2} R(10,2);r(1) { greater( X, Y ),
% 0.75/1.23 smaller_or_equal( X, Y ) }.
% 0.75/1.23 substitution0:
% 0.75/1.23 X := Y
% 0.75/1.23 Y := X
% 0.75/1.23 end
% 0.75/1.23 substitution1:
% 0.75/1.23 X := X
% 0.75/1.23 Y := Y
% 0.75/1.23 end
% 0.75/1.23
% 0.75/1.23 subsumption: (149) {G2,W6,D2,L2,V2,M2} R(116,7) { smaller_or_equal( X, Y )
% 0.75/1.23 , smaller( Y, X ) }.
% 0.75/1.23 parent0: (3021) {G1,W6,D2,L2,V2,M2} { smaller( Y, X ), smaller_or_equal( X
% 0.75/1.23 , Y ) }.
% 0.75/1.23 substitution0:
% 0.75/1.23 X := X
% 0.75/1.23 Y := Y
% 0.75/1.23 end
% 0.75/1.23 permutation0:
% 0.75/1.23 0 ==> 1
% 0.75/1.23 1 ==> 0
% 0.75/1.23 end
% 0.75/1.23
% 0.75/1.23 eqswap: (3022) {G1,W6,D2,L2,V0,M2} { sigma ==> zero, greater( sigma, zero
% 0.75/1.23 ) }.
% 0.75/1.23 parent0[1]: (61) {G1,W6,D2,L2,V0,M2} R(3,31) { greater( sigma, zero ), zero
% 0.75/1.23 ==> sigma }.
% 0.75/1.23 substitution0:
% 0.75/1.23 end
% 0.75/1.23
% 0.75/1.23 resolution: (3023) {G2,W6,D2,L2,V0,M2} { ! smaller( sigma, zero ), sigma
% 0.75/1.23 ==> zero }.
% 0.75/1.23 parent0[1]: (90) {G1,W6,D2,L2,V2,M2} R(6,8) { ! smaller( X, Y ), ! greater
% 0.75/1.23 ( X, Y ) }.
% 0.75/1.23 parent1[1]: (3022) {G1,W6,D2,L2,V0,M2} { sigma ==> zero, greater( sigma,
% 0.75/1.23 zero ) }.
% 0.75/1.23 substitution0:
% 0.75/1.23 X := sigma
% 0.75/1.23 Y := zero
% 0.75/1.23 end
% 0.75/1.23 substitution1:
% 0.75/1.23 end
% 0.75/1.23
% 0.75/1.23 eqswap: (3024) {G2,W6,D2,L2,V0,M2} { zero ==> sigma, ! smaller( sigma,
% 0.75/1.23 zero ) }.
% 0.75/1.23 parent0[1]: (3023) {G2,W6,D2,L2,V0,M2} { ! smaller( sigma, zero ), sigma
% 0.75/1.23 ==> zero }.
% 0.75/1.23 substitution0:
% 0.75/1.23 end
% 0.75/1.23
% 0.75/1.23 subsumption: (150) {G2,W6,D2,L2,V0,M2} R(61,90) { zero ==> sigma, ! smaller
% 0.75/1.23 ( sigma, zero ) }.
% 0.75/1.23 parent0: (3024) {G2,W6,D2,L2,V0,M2} { zero ==> sigma, ! smaller( sigma,
% 0.75/1.23 zero ) }.
% 0.75/1.23 substitution0:
% 0.75/1.23 end
% 0.75/1.23 permutation0:
% 0.75/1.23 0 ==> 0
% 0.75/1.23 1 ==> 1
% 0.75/1.23 end
% 0.75/1.23
% 0.75/1.23 paramod: (3026) {G1,W9,D2,L3,V0,M3} { ! greater( zero, sigma ), ! alpha3(
% 0.75/1.23 skol3, skol4 ), ! positional_advantage( skol3, skol4 ) }.
% 0.75/1.23 parent0[0]: (30) {G0,W5,D3,L1,V0,M1} I { age( skol3, skol4 ) ==> zero }.
% 0.75/1.23 parent1[1; 2]: (14) {G0,W11,D3,L3,V2,M3} I { ! alpha3( X, Y ), ! greater(
% 0.75/1.23 age( X, Y ), sigma ), ! positional_advantage( X, Y ) }.
% 0.75/1.23 substitution0:
% 0.75/1.23 end
% 0.75/1.23 substitution1:
% 0.75/1.23 X := skol3
% 0.75/1.23 Y := skol4
% 0.75/1.23 end
% 0.75/1.23
% 0.75/1.23 resolution: (3027) {G2,W6,D2,L2,V0,M2} { ! greater( zero, sigma ), !
% 0.75/1.23 positional_advantage( skol3, skol4 ) }.
% 0.75/1.23 parent0[1]: (3026) {G1,W9,D2,L3,V0,M3} { ! greater( zero, sigma ), !
% 0.75/1.23 alpha3( skol3, skol4 ), ! positional_advantage( skol3, skol4 ) }.
% 0.75/1.23 parent1[0]: (54) {G1,W3,D2,L1,V1,M1} R(12,33) { alpha3( skol3, X ) }.
% 0.75/1.23 substitution0:
% 0.75/1.23 end
% 0.75/1.23 substitution1:
% 0.75/1.23 X := skol4
% 0.75/1.23 end
% 0.75/1.23
% 0.75/1.23 subsumption: (186) {G2,W6,D2,L2,V0,M2} P(30,14);r(54) { ! greater( zero,
% 0.75/1.23 sigma ), ! positional_advantage( skol3, skol4 ) }.
% 0.75/1.23 parent0: (3027) {G2,W6,D2,L2,V0,M2} { ! greater( zero, sigma ), !
% 0.75/1.23 positional_advantage( skol3, skol4 ) }.
% 0.75/1.23 substitution0:
% 0.75/1.23 end
% 0.75/1.23 permutation0:
% 0.75/1.23 0 ==> 0
% 0.75/1.23 1 ==> 1
% 0.75/1.23 end
% 0.75/1.23
% 0.75/1.23 resolution: (3028) {G1,W6,D2,L2,V0,M2} { ! positional_advantage( skol3,
% 0.75/1.23 skol4 ), ! smaller( sigma, zero ) }.
% 0.75/1.23 parent0[0]: (186) {G2,W6,D2,L2,V0,M2} P(30,14);r(54) { ! greater( zero,
% 0.75/1.23 sigma ), ! positional_advantage( skol3, skol4 ) }.
% 0.75/1.23 parent1[1]: (6) {G0,W6,D2,L2,V2,M2} I { ! smaller( X, Y ), greater( Y, X )
% 0.75/1.23 }.
% 0.75/1.23 substitution0:
% 0.75/1.23 end
% 0.75/1.23 substitution1:
% 0.75/1.23 X := sigma
% 0.75/1.23 Y := zero
% 0.75/1.23 end
% 0.75/1.23
% 0.75/1.23 subsumption: (193) {G3,W6,D2,L2,V0,M2} R(186,6) { ! positional_advantage(
% 0.75/1.23 skol3, skol4 ), ! smaller( sigma, zero ) }.
% 0.75/1.23 parent0: (3028) {G1,W6,D2,L2,V0,M2} { ! positional_advantage( skol3, skol4
% 0.75/1.23 ), ! smaller( sigma, zero ) }.
% 0.75/1.23 substitution0:
% 0.75/1.23 end
% 0.75/1.23 permutation0:
% 0.75/1.23 0 ==> 0
% 0.75/1.23 1 ==> 1
% 0.75/1.23 end
% 0.75/1.23
% 0.75/1.23 resolution: (3031) {G1,W11,D3,L3,V0,M3} { ! smaller( sigma, zero ), !
% 0.75/1.23 alpha1( skol3, skol4 ), ! smaller_or_equal( age( skol3, skol4 ), sigma )
% 0.75/1.23 }.
% 0.75/1.23 parent0[0]: (193) {G3,W6,D2,L2,V0,M2} R(186,6) { ! positional_advantage(
% 0.75/1.23 skol3, skol4 ), ! smaller( sigma, zero ) }.
% 0.75/1.23 parent1[2]: (17) {G0,W11,D3,L3,V2,M3} I { ! alpha1( X, Y ), !
% 0.75/1.23 smaller_or_equal( age( X, Y ), sigma ), positional_advantage( X, Y ) }.
% 0.75/1.23 substitution0:
% 0.75/1.23 end
% 0.75/1.23 substitution1:
% 0.75/1.23 X := skol3
% 0.75/1.23 Y := skol4
% 0.75/1.23 end
% 0.75/1.23
% 0.75/1.23 paramod: (3032) {G1,W9,D2,L3,V0,M3} { ! smaller_or_equal( zero, sigma ), !
% 0.75/1.23 smaller( sigma, zero ), ! alpha1( skol3, skol4 ) }.
% 0.75/1.23 parent0[0]: (30) {G0,W5,D3,L1,V0,M1} I { age( skol3, skol4 ) ==> zero }.
% 0.75/1.23 parent1[2; 2]: (3031) {G1,W11,D3,L3,V0,M3} { ! smaller( sigma, zero ), !
% 0.75/1.23 alpha1( skol3, skol4 ), ! smaller_or_equal( age( skol3, skol4 ), sigma )
% 0.75/1.23 }.
% 0.75/1.23 substitution0:
% 0.75/1.23 end
% 0.75/1.23 substitution1:
% 0.75/1.23 end
% 0.75/1.23
% 0.75/1.23 paramod: (3033) {G2,W12,D2,L4,V0,M4} { ! smaller_or_equal( sigma, sigma )
% 0.75/1.23 , ! smaller( sigma, zero ), ! smaller( sigma, zero ), ! alpha1( skol3,
% 0.75/1.23 skol4 ) }.
% 0.75/1.23 parent0[0]: (150) {G2,W6,D2,L2,V0,M2} R(61,90) { zero ==> sigma, ! smaller
% 0.75/1.23 ( sigma, zero ) }.
% 0.75/1.23 parent1[0; 2]: (3032) {G1,W9,D2,L3,V0,M3} { ! smaller_or_equal( zero,
% 0.75/1.23 sigma ), ! smaller( sigma, zero ), ! alpha1( skol3, skol4 ) }.
% 0.75/1.23 substitution0:
% 0.75/1.23 end
% 0.75/1.23 substitution1:
% 0.75/1.23 end
% 0.75/1.23
% 0.75/1.23 factor: (3046) {G2,W9,D2,L3,V0,M3} { ! smaller_or_equal( sigma, sigma ), !
% 0.75/1.23 smaller( sigma, zero ), ! alpha1( skol3, skol4 ) }.
% 0.75/1.23 parent0[1, 2]: (3033) {G2,W12,D2,L4,V0,M4} { ! smaller_or_equal( sigma,
% 0.75/1.23 sigma ), ! smaller( sigma, zero ), ! smaller( sigma, zero ), ! alpha1(
% 0.75/1.23 skol3, skol4 ) }.
% 0.75/1.23 substitution0:
% 0.75/1.23 end
% 0.75/1.23
% 0.75/1.23 resolution: (3115) {G2,W6,D2,L2,V0,M2} { ! smaller_or_equal( sigma, sigma
% 0.75/1.23 ), ! smaller( sigma, zero ) }.
% 0.75/1.23 parent0[2]: (3046) {G2,W9,D2,L3,V0,M3} { ! smaller_or_equal( sigma, sigma
% 0.75/1.23 ), ! smaller( sigma, zero ), ! alpha1( skol3, skol4 ) }.
% 0.75/1.23 parent1[0]: (55) {G1,W3,D2,L1,V1,M1} R(11,33) { alpha1( skol3, X ) }.
% 0.75/1.23 substitution0:
% 0.75/1.23 end
% 0.75/1.23 substitution1:
% 0.75/1.23 X := skol4
% 0.75/1.23 end
% 0.75/1.23
% 0.75/1.23 subsumption: (356) {G4,W6,D2,L2,V0,M2} R(17,193);d(30);d(150);r(55) { !
% 0.75/1.23 smaller( sigma, zero ), ! smaller_or_equal( sigma, sigma ) }.
% 0.75/1.23 parent0: (3115) {G2,W6,D2,L2,V0,M2} { ! smaller_or_equal( sigma, sigma ),
% 0.75/1.23 ! smaller( sigma, zero ) }.
% 0.75/1.23 substitution0:
% 0.75/1.23 end
% 0.75/1.23 permutation0:
% 0.75/1.23 0 ==> 1
% 0.75/1.23 1 ==> 0
% 0.75/1.23 end
% 0.75/1.23
% 0.75/1.23 resolution: (3116) {G2,W3,D2,L1,V0,M1} { ! smaller( sigma, zero ) }.
% 0.75/1.23 parent0[1]: (356) {G4,W6,D2,L2,V0,M2} R(17,193);d(30);d(150);r(55) { !
% 0.75/1.23 smaller( sigma, zero ), ! smaller_or_equal( sigma, sigma ) }.
% 0.75/1.23 parent1[0]: (35) {G1,W3,D2,L1,V1,M1} Q(2) { smaller_or_equal( X, X ) }.
% 0.75/1.23 substitution0:
% 0.75/1.23 end
% 0.75/1.23 substitution1:
% 0.75/1.23 X := sigma
% 0.75/1.23 end
% 0.75/1.23
% 0.75/1.23 subsumption: (383) {G5,W3,D2,L1,V0,M1} S(356);r(35) { ! smaller( sigma,
% 0.75/1.23 zero ) }.
% 0.75/1.23 parent0: (3116) {G2,W3,D2,L1,V0,M1} { ! smaller( sigma, zero ) }.
% 0.75/1.23 substitution0:
% 0.75/1.23 end
% 0.75/1.23 permutation0:
% 0.75/1.23 0 ==> 0
% 0.75/1.23 end
% 0.75/1.23
% 0.75/1.23 resolution: (3117) {G3,W3,D2,L1,V0,M1} { smaller_or_equal( zero, sigma )
% 0.75/1.23 }.
% 0.75/1.23 parent0[0]: (383) {G5,W3,D2,L1,V0,M1} S(356);r(35) { ! smaller( sigma, zero
% 0.75/1.23 ) }.
% 0.75/1.23 parent1[1]: (149) {G2,W6,D2,L2,V2,M2} R(116,7) { smaller_or_equal( X, Y ),
% 0.75/1.23 smaller( Y, X ) }.
% 0.75/1.23 substitution0:
% 0.75/1.23 end
% 0.75/1.23 substitution1:
% 0.75/1.23 X := zero
% 0.75/1.23 Y := sigma
% 0.75/1.23 end
% 0.75/1.23
% 0.75/1.23 subsumption: (384) {G6,W3,D2,L1,V0,M1} R(383,149) { smaller_or_equal( zero
% 0.75/1.23 , sigma ) }.
% 0.75/1.23 parent0: (3117) {G3,W3,D2,L1,V0,M1} { smaller_or_equal( zero, sigma ) }.
% 0.75/1.23 substitution0:
% 0.75/1.23 end
% 0.75/1.23 permutation0:
% 0.75/1.23 0 ==> 0
% 0.75/1.23 end
% 0.75/1.23
% 0.75/1.23 paramod: (3119) {G1,W9,D2,L3,V0,M3} { ! smaller_or_equal( zero, tau ), !
% 0.75/1.23 alpha2( skol3, skol4 ), ! positional_advantage( skol3, skol4 ) }.
% 0.75/1.23 parent0[0]: (30) {G0,W5,D3,L1,V0,M1} I { age( skol3, skol4 ) ==> zero }.
% 0.75/1.23 parent1[1; 2]: (26) {G0,W11,D3,L3,V2,M3} I { ! alpha2( X, Y ), !
% 0.75/1.23 smaller_or_equal( age( X, Y ), tau ), ! positional_advantage( X, Y ) }.
% 0.75/1.23 substitution0:
% 0.75/1.23 end
% 0.75/1.23 substitution1:
% 0.75/1.23 X := skol3
% 0.75/1.23 Y := skol4
% 0.75/1.23 end
% 0.75/1.23
% 0.75/1.23 resolution: (3120) {G2,W6,D2,L2,V0,M2} { ! smaller_or_equal( zero, tau ),
% 0.75/1.23 ! positional_advantage( skol3, skol4 ) }.
% 0.75/1.23 parent0[1]: (3119) {G1,W9,D2,L3,V0,M3} { ! smaller_or_equal( zero, tau ),
% 0.75/1.23 ! alpha2( skol3, skol4 ), ! positional_advantage( skol3, skol4 ) }.
% 0.75/1.23 parent1[0]: (53) {G1,W3,D2,L1,V1,M1} R(20,34) { alpha2( skol3, X ) }.
% 0.75/1.23 substitution0:
% 0.75/1.23 end
% 0.75/1.23 substitution1:
% 0.75/1.23 X := skol4
% 0.75/1.23 end
% 0.75/1.23
% 0.75/1.23 subsumption: (754) {G2,W6,D2,L2,V0,M2} P(30,26);r(53) { ! smaller_or_equal
% 0.75/1.23 ( zero, tau ), ! positional_advantage( skol3, skol4 ) }.
% 0.75/1.23 parent0: (3120) {G2,W6,D2,L2,V0,M2} { ! smaller_or_equal( zero, tau ), !
% 0.75/1.23 positional_advantage( skol3, skol4 ) }.
% 0.75/1.23 substitution0:
% 0.75/1.23 end
% 0.75/1.23 permutation0:
% 0.75/1.23 0 ==> 0
% 0.75/1.23 1 ==> 1
% 0.75/1.23 end
% 0.75/1.23
% 0.75/1.23 resolution: (3121) {G3,W6,D2,L2,V0,M2} { ! positional_advantage( skol3,
% 0.75/1.23 skol4 ), smaller_or_equal( tau, zero ) }.
% 0.75/1.23 parent0[0]: (754) {G2,W6,D2,L2,V0,M2} P(30,26);r(53) { ! smaller_or_equal(
% 0.75/1.23 zero, tau ), ! positional_advantage( skol3, skol4 ) }.
% 0.75/1.23 parent1[0]: (148) {G2,W6,D2,L2,V2,M2} R(116,88) { smaller_or_equal( X, Y )
% 0.75/1.23 , smaller_or_equal( Y, X ) }.
% 0.75/1.23 substitution0:
% 0.75/1.23 end
% 0.75/1.23 substitution1:
% 0.75/1.23 X := zero
% 0.75/1.23 Y := tau
% 0.75/1.23 end
% 0.75/1.23
% 0.75/1.23 subsumption: (1943) {G3,W6,D2,L2,V0,M2} R(754,148) { ! positional_advantage
% 0.75/1.23 ( skol3, skol4 ), smaller_or_equal( tau, zero ) }.
% 0.75/1.23 parent0: (3121) {G3,W6,D2,L2,V0,M2} { ! positional_advantage( skol3, skol4
% 0.75/1.23 ), smaller_or_equal( tau, zero ) }.
% 0.75/1.23 substitution0:
% 0.75/1.23 end
% 0.75/1.23 permutation0:
% 0.75/1.23 0 ==> 0
% 0.75/1.23 1 ==> 1
% 0.75/1.23 end
% 0.75/1.23
% 0.75/1.23 eqswap: (3122) {G1,W6,D2,L2,V0,M2} { tau ==> zero, greater( tau, zero )
% 0.75/1.23 }.
% 0.75/1.23 parent0[1]: (62) {G1,W6,D2,L2,V0,M2} R(3,32) { greater( tau, zero ), zero
% 0.75/1.23 ==> tau }.
% 0.75/1.23 substitution0:
% 0.75/1.23 end
% 0.75/1.23
% 0.75/1.23 resolution: (3123) {G2,W6,D2,L2,V0,M2} { ! smaller( tau, zero ), tau ==>
% 0.75/1.23 zero }.
% 0.75/1.23 parent0[1]: (90) {G1,W6,D2,L2,V2,M2} R(6,8) { ! smaller( X, Y ), ! greater
% 0.75/1.23 ( X, Y ) }.
% 0.75/1.23 parent1[1]: (3122) {G1,W6,D2,L2,V0,M2} { tau ==> zero, greater( tau, zero
% 0.75/1.23 ) }.
% 0.75/1.23 substitution0:
% 0.75/1.23 X := tau
% 0.75/1.23 Y := zero
% 0.75/1.23 end
% 0.75/1.23 substitution1:
% 0.75/1.23 end
% 0.75/1.23
% 0.75/1.23 eqswap: (3124) {G2,W6,D2,L2,V0,M2} { zero ==> tau, ! smaller( tau, zero )
% 0.75/1.23 }.
% 0.75/1.23 parent0[1]: (3123) {G2,W6,D2,L2,V0,M2} { ! smaller( tau, zero ), tau ==>
% 0.75/1.23 zero }.
% 0.75/1.23 substitution0:
% 0.75/1.23 end
% 0.75/1.23
% 0.75/1.23 subsumption: (2317) {G2,W6,D2,L2,V0,M2} R(62,90) { zero ==> tau, ! smaller
% 0.75/1.23 ( tau, zero ) }.
% 0.75/1.23 parent0: (3124) {G2,W6,D2,L2,V0,M2} { zero ==> tau, ! smaller( tau, zero )
% 0.75/1.23 }.
% 0.75/1.23 substitution0:
% 0.75/1.23 end
% 0.75/1.23 permutation0:
% 0.75/1.23 0 ==> 0
% 0.75/1.23 1 ==> 1
% 0.75/1.23 end
% 0.75/1.23
% 0.75/1.23 eqswap: (3125) {G2,W6,D2,L2,V0,M2} { tau ==> zero, ! smaller( tau, zero )
% 0.75/1.23 }.
% 0.75/1.23 parent0[0]: (2317) {G2,W6,D2,L2,V0,M2} R(62,90) { zero ==> tau, ! smaller(
% 0.75/1.23 tau, zero ) }.
% 0.75/1.23 substitution0:
% 0.75/1.23 end
% 0.75/1.23
% 0.75/1.23 eqswap: (3126) {G0,W9,D2,L3,V2,M3} { Y = X, ! smaller_or_equal( X, Y ),
% 0.75/1.23 smaller( X, Y ) }.
% 0.75/1.23 parent0[2]: (0) {G0,W9,D2,L3,V2,M3} I { ! smaller_or_equal( X, Y ), smaller
% 0.75/1.23 ( X, Y ), X = Y }.
% 0.75/1.23 substitution0:
% 0.75/1.23 X := X
% 0.75/1.23 Y := Y
% 0.75/1.23 end
% 0.75/1.23
% 0.75/1.23 resolution: (3127) {G1,W9,D2,L3,V0,M3} { tau ==> zero, zero = tau, !
% 0.75/1.23 smaller_or_equal( tau, zero ) }.
% 0.75/1.23 parent0[1]: (3125) {G2,W6,D2,L2,V0,M2} { tau ==> zero, ! smaller( tau,
% 0.75/1.23 zero ) }.
% 0.75/1.23 parent1[2]: (3126) {G0,W9,D2,L3,V2,M3} { Y = X, ! smaller_or_equal( X, Y )
% 0.75/1.23 , smaller( X, Y ) }.
% 0.75/1.23 substitution0:
% 0.75/1.23 end
% 0.75/1.23 substitution1:
% 0.75/1.23 X := tau
% 0.75/1.23 Y := zero
% 0.75/1.23 end
% 0.75/1.23
% 0.75/1.23 eqswap: (3128) {G1,W9,D2,L3,V0,M3} { zero ==> tau, zero = tau, !
% 0.75/1.23 smaller_or_equal( tau, zero ) }.
% 0.75/1.23 parent0[0]: (3127) {G1,W9,D2,L3,V0,M3} { tau ==> zero, zero = tau, !
% 0.75/1.23 smaller_or_equal( tau, zero ) }.
% 0.75/1.23 substitution0:
% 0.75/1.23 end
% 0.75/1.23
% 0.75/1.23 subsumption: (2509) {G3,W9,D2,L3,V0,M3} R(2317,0) { zero ==> tau, !
% 0.75/1.23 smaller_or_equal( tau, zero ), zero ==> tau }.
% 0.75/1.23 parent0: (3128) {G1,W9,D2,L3,V0,M3} { zero ==> tau, zero = tau, !
% 0.75/1.23 smaller_or_equal( tau, zero ) }.
% 0.75/1.23 substitution0:
% 0.75/1.23 end
% 0.75/1.23 permutation0:
% 0.75/1.23 0 ==> 0
% 0.75/1.23 1 ==> 0
% 0.75/1.23 2 ==> 1
% 0.75/1.23 end
% 0.75/1.23
% 0.75/1.23 factor: (3133) {G3,W6,D2,L2,V0,M2} { zero ==> tau, ! smaller_or_equal( tau
% 0.75/1.23 , zero ) }.
% 0.75/1.23 parent0[0, 2]: (2509) {G3,W9,D2,L3,V0,M3} R(2317,0) { zero ==> tau, !
% 0.75/1.23 smaller_or_equal( tau, zero ), zero ==> tau }.
% 0.75/1.23 substitution0:
% 0.75/1.23 end
% 0.75/1.23
% 0.75/1.23 subsumption: (2603) {G4,W6,D2,L2,V0,M2} F(2509) { zero ==> tau, !
% 0.75/1.23 smaller_or_equal( tau, zero ) }.
% 0.75/1.23 parent0: (3133) {G3,W6,D2,L2,V0,M2} { zero ==> tau, ! smaller_or_equal(
% 0.75/1.23 tau, zero ) }.
% 0.75/1.23 substitution0:
% 0.75/1.23 end
% 0.75/1.23 permutation0:
% 0.75/1.23 0 ==> 0
% 0.75/1.23 1 ==> 1
% 0.75/1.23 end
% 0.75/1.23
% 0.75/1.23 paramod: (3135) {G3,W9,D2,L3,V0,M3} { ! smaller_or_equal( tau, tau ), !
% 0.75/1.23 smaller_or_equal( tau, zero ), ! positional_advantage( skol3, skol4 ) }.
% 0.75/1.23 parent0[0]: (2603) {G4,W6,D2,L2,V0,M2} F(2509) { zero ==> tau, !
% 0.75/1.23 smaller_or_equal( tau, zero ) }.
% 0.75/1.23 parent1[0; 2]: (754) {G2,W6,D2,L2,V0,M2} P(30,26);r(53) { !
% 0.75/1.23 smaller_or_equal( zero, tau ), ! positional_advantage( skol3, skol4 ) }.
% 0.75/1.23 substitution0:
% 0.75/1.23 end
% 0.75/1.23 substitution1:
% 0.75/1.23 end
% 0.75/1.23
% 0.75/1.23 resolution: (3146) {G2,W6,D2,L2,V0,M2} { ! smaller_or_equal( tau, zero ),
% 0.75/1.23 ! positional_advantage( skol3, skol4 ) }.
% 0.75/1.23 parent0[0]: (3135) {G3,W9,D2,L3,V0,M3} { ! smaller_or_equal( tau, tau ), !
% 0.75/1.23 smaller_or_equal( tau, zero ), ! positional_advantage( skol3, skol4 )
% 0.75/1.23 }.
% 0.75/1.23 parent1[0]: (35) {G1,W3,D2,L1,V1,M1} Q(2) { smaller_or_equal( X, X ) }.
% 0.75/1.23 substitution0:
% 0.75/1.23 end
% 0.75/1.23 substitution1:
% 0.75/1.23 X := tau
% 0.75/1.23 end
% 0.75/1.23
% 0.75/1.23 subsumption: (2644) {G5,W6,D2,L2,V0,M2} P(2603,754);r(35) { !
% 0.75/1.23 positional_advantage( skol3, skol4 ), ! smaller_or_equal( tau, zero ) }.
% 0.75/1.23 parent0: (3146) {G2,W6,D2,L2,V0,M2} { ! smaller_or_equal( tau, zero ), !
% 0.75/1.23 positional_advantage( skol3, skol4 ) }.
% 0.75/1.23 substitution0:
% 0.75/1.23 end
% 0.75/1.23 permutation0:
% 0.75/1.23 0 ==> 1
% 0.75/1.23 1 ==> 0
% 0.75/1.23 end
% 0.75/1.23
% 0.75/1.23 resolution: (3147) {G4,W6,D2,L2,V0,M2} { ! positional_advantage( skol3,
% 0.75/1.23 skol4 ), ! positional_advantage( skol3, skol4 ) }.
% 0.75/1.23 parent0[1]: (2644) {G5,W6,D2,L2,V0,M2} P(2603,754);r(35) { !
% 0.75/1.23 positional_advantage( skol3, skol4 ), ! smaller_or_equal( tau, zero ) }.
% 0.75/1.23 parent1[1]: (1943) {G3,W6,D2,L2,V0,M2} R(754,148) { ! positional_advantage
% 0.75/1.23 ( skol3, skol4 ), smaller_or_equal( tau, zero ) }.
% 0.75/1.23 substitution0:
% 0.75/1.23 end
% 0.75/1.23 substitution1:
% 0.75/1.23 end
% 0.75/1.23
% 0.75/1.23 factor: (3148) {G4,W3,D2,L1,V0,M1} { ! positional_advantage( skol3, skol4
% 0.75/1.23 ) }.
% 0.75/1.23 parent0[0, 1]: (3147) {G4,W6,D2,L2,V0,M2} { ! positional_advantage( skol3
% 0.75/1.23 , skol4 ), ! positional_advantage( skol3, skol4 ) }.
% 0.75/1.23 substitution0:
% 0.75/1.23 end
% 0.75/1.23
% 0.75/1.23 subsumption: (2792) {G6,W3,D2,L1,V0,M1} S(2644);r(1943) { !
% 0.75/1.23 positional_advantage( skol3, skol4 ) }.
% 0.75/1.23 parent0: (3148) {G4,W3,D2,L1,V0,M1} { ! positional_advantage( skol3, skol4
% 0.75/1.23 ) }.
% 0.75/1.23 substitution0:
% 0.75/1.23 end
% 0.75/1.23 permutation0:
% 0.75/1.23 0 ==> 0
% 0.75/1.23 end
% 0.75/1.23
% 0.75/1.23 resolution: (3150) {G1,W8,D3,L2,V0,M2} { ! alpha1( skol3, skol4 ), !
% 0.75/1.23 smaller_or_equal( age( skol3, skol4 ), sigma ) }.
% 0.75/1.23 parent0[0]: (2792) {G6,W3,D2,L1,V0,M1} S(2644);r(1943) { !
% 0.75/1.23 positional_advantage( skol3, skol4 ) }.
% 0.75/1.23 parent1[2]: (17) {G0,W11,D3,L3,V2,M3} I { ! alpha1( X, Y ), !
% 0.75/1.23 smaller_or_equal( age( X, Y ), sigma ), positional_advantage( X, Y ) }.
% 0.75/1.23 substitution0:
% 0.75/1.23 end
% 0.75/1.23 substitution1:
% 0.75/1.23 X := skol3
% 0.75/1.23 Y := skol4
% 0.75/1.23 end
% 0.75/1.23
% 0.75/1.23 paramod: (3151) {G1,W6,D2,L2,V0,M2} { ! smaller_or_equal( zero, sigma ), !
% 0.75/1.23 alpha1( skol3, skol4 ) }.
% 0.75/1.23 parent0[0]: (30) {G0,W5,D3,L1,V0,M1} I { age( skol3, skol4 ) ==> zero }.
% 0.75/1.23 parent1[1; 2]: (3150) {G1,W8,D3,L2,V0,M2} { ! alpha1( skol3, skol4 ), !
% 0.75/1.23 smaller_or_equal( age( skol3, skol4 ), sigma ) }.
% 0.75/1.23 substitution0:
% 0.75/1.23 end
% 0.75/1.23 substitution1:
% 0.75/1.23 end
% 0.75/1.23
% 0.75/1.23 resolution: (3152) {G2,W3,D2,L1,V0,M1} { ! smaller_or_equal( zero, sigma )
% 0.75/1.23 }.
% 0.75/1.23 parent0[1]: (3151) {G1,W6,D2,L2,V0,M2} { ! smaller_or_equal( zero, sigma )
% 0.75/1.23 , ! alpha1( skol3, skol4 ) }.
% 0.75/1.23 parent1[0]: (55) {G1,W3,D2,L1,V1,M1} R(11,33) { alpha1( skol3, X ) }.
% 0.75/1.23 substitution0:
% 0.75/1.23 end
% 0.75/1.23 substitution1:
% 0.75/1.23 X := skol4
% 0.75/1.23 end
% 0.75/1.23
% 0.75/1.23 subsumption: (2794) {G7,W3,D2,L1,V0,M1} R(2792,17);d(30);r(55) { !
% 0.75/1.23 smaller_or_equal( zero, sigma ) }.
% 0.75/1.23 parent0: (3152) {G2,W3,D2,L1,V0,M1} { ! smaller_or_equal( zero, sigma )
% 0.75/1.23 }.
% 0.75/1.23 substitution0:
% 0.75/1.23 end
% 0.75/1.23 permutation0:
% 0.75/1.23 0 ==> 0
% 0.75/1.23 end
% 0.75/1.23
% 0.75/1.23 resolution: (3153) {G7,W0,D0,L0,V0,M0} { }.
% 0.75/1.23 parent0[0]: (2794) {G7,W3,D2,L1,V0,M1} R(2792,17);d(30);r(55) { !
% 0.75/1.23 smaller_or_equal( zero, sigma ) }.
% 0.75/1.23 parent1[0]: (384) {G6,W3,D2,L1,V0,M1} R(383,149) { smaller_or_equal( zero,
% 0.75/1.23 sigma ) }.
% 0.75/1.23 substitution0:
% 0.75/1.23 end
% 0.75/1.23 substitution1:
% 0.75/1.23 end
% 0.75/1.23
% 0.75/1.23 subsumption: (2855) {G8,W0,D0,L0,V0,M0} S(2794);r(384) { }.
% 0.75/1.23 parent0: (3153) {G7,W0,D0,L0,V0,M0} { }.
% 0.75/1.23 substitution0:
% 0.75/1.23 end
% 0.75/1.23 permutation0:
% 0.75/1.23 end
% 0.75/1.23
% 0.75/1.23 Proof check complete!
% 0.75/1.23
% 0.75/1.23 Memory use:
% 0.75/1.23
% 0.75/1.23 space for terms: 35497
% 0.75/1.23 space for clauses: 112425
% 0.75/1.23
% 0.75/1.23
% 0.75/1.23 clauses generated: 7465
% 0.75/1.23 clauses kept: 2856
% 0.75/1.23 clauses selected: 201
% 0.75/1.23 clauses deleted: 13
% 0.75/1.23 clauses inuse deleted: 4
% 0.75/1.23
% 0.75/1.23 subsentry: 23805
% 0.75/1.23 literals s-matched: 19604
% 0.75/1.23 literals matched: 19604
% 0.75/1.23 full subsumption: 3171
% 0.75/1.23
% 0.75/1.23 checksum: -1347973027
% 0.75/1.23
% 0.75/1.23
% 0.75/1.23 Bliksem ended
%------------------------------------------------------------------------------