TSTP Solution File: NUM838+1 by Bliksem---1.12
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- Process Solution
%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : NUM838+1 : TPTP v8.1.0. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n025.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 : Mon Jul 18 06:26:54 EDT 2022
% Result : Theorem 0.62s 1.02s
% Output : Refutation 0.62s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.09/0.10 % Problem : NUM838+1 : TPTP v8.1.0. Released v4.1.0.
% 0.09/0.11 % Command : bliksem %s
% 0.11/0.32 % Computer : n025.cluster.edu
% 0.11/0.32 % Model : x86_64 x86_64
% 0.11/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.32 % Memory : 8042.1875MB
% 0.11/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.32 % CPULimit : 300
% 0.11/0.32 % DateTime : Thu Jul 7 08:46:44 EDT 2022
% 0.11/0.32 % CPUTime :
% 0.62/1.02 *** allocated 10000 integers for termspace/termends
% 0.62/1.02 *** allocated 10000 integers for clauses
% 0.62/1.02 *** allocated 10000 integers for justifications
% 0.62/1.02 Bliksem 1.12
% 0.62/1.02
% 0.62/1.02
% 0.62/1.02 Automatic Strategy Selection
% 0.62/1.02
% 0.62/1.02
% 0.62/1.02 Clauses:
% 0.62/1.02
% 0.62/1.02 { ! greater( vplus( vd301, vd303 ), vplus( vd302, vd303 ) ) }.
% 0.62/1.02 { greater( vd301, vd302 ) }.
% 0.62/1.02 { ! less( X, Y ), less( vplus( X, Z ), vplus( Y, Z ) ) }.
% 0.62/1.02 { ! less( X, Y ), greater( vplus( Y, Z ), vplus( X, Z ) ) }.
% 0.62/1.02 { ! less( X, Y ), greater( Y, X ) }.
% 0.62/1.02 { ! X = Y, vplus( X, Z ) = vplus( Y, Z ) }.
% 0.62/1.02 { ! greater( X, Y ), greater( vplus( X, Z ), vplus( Y, Z ) ) }.
% 0.62/1.02 { ! greater( X, Y ), vplus( vskolem7( X, Y ), vplus( Y, Z ) ) = vplus(
% 0.62/1.02 vplus( Y, Z ), vskolem7( X, Y ) ) }.
% 0.62/1.02 { ! greater( X, Y ), vplus( vplus( vskolem7( X, Y ), Y ), Z ) = vplus(
% 0.62/1.02 vskolem7( X, Y ), vplus( Y, Z ) ) }.
% 0.62/1.02 { ! greater( X, Y ), vplus( vplus( Y, vskolem7( X, Y ) ), Z ) = vplus(
% 0.62/1.02 vplus( vskolem7( X, Y ), Y ), Z ) }.
% 0.62/1.02 { ! greater( X, Y ), vplus( X, Z ) = vplus( vplus( Y, vskolem7( X, Y ) ), Z
% 0.62/1.02 ) }.
% 0.62/1.02 { ! greater( X, Y ), X = vplus( Y, vskolem7( X, Y ) ) }.
% 0.62/1.02 { greater( vplus( X, Y ), X ) }.
% 0.62/1.02 { ! leq( Z, Y ), ! leq( X, Z ), leq( X, Y ) }.
% 0.62/1.02 { ! less( Z, Y ), ! leq( X, Z ), less( X, Y ) }.
% 0.62/1.02 { ! leq( Z, Y ), ! less( X, Z ), less( X, Y ) }.
% 0.62/1.02 { ! less( Z, Y ), ! less( X, Z ), less( X, Y ) }.
% 0.62/1.02 { ! leq( X, Y ), geq( Y, X ) }.
% 0.62/1.02 { ! geq( X, Y ), leq( Y, X ) }.
% 0.62/1.02 { ! leq( Y, X ), less( Y, X ), Y = X }.
% 0.62/1.02 { ! less( Y, X ), leq( Y, X ) }.
% 0.62/1.02 { ! Y = X, leq( Y, X ) }.
% 0.62/1.02 { ! geq( Y, X ), greater( Y, X ), Y = X }.
% 0.62/1.02 { ! greater( Y, X ), geq( Y, X ) }.
% 0.62/1.02 { ! Y = X, geq( Y, X ) }.
% 0.62/1.02 { ! less( X, Y ), greater( Y, X ) }.
% 0.62/1.02 { ! greater( X, Y ), less( Y, X ) }.
% 0.62/1.02 { X = Y, greater( X, Y ), less( X, Y ) }.
% 0.62/1.02 { ! X = Y, ! less( X, Y ) }.
% 0.62/1.02 { ! greater( X, Y ), ! less( X, Y ) }.
% 0.62/1.02 { ! X = Y, ! greater( X, Y ) }.
% 0.62/1.02 { ! less( Y, X ), X = vplus( Y, skol1( X, Y ) ) }.
% 0.62/1.02 { ! X = vplus( Y, Z ), less( Y, X ) }.
% 0.62/1.02 { ! greater( Y, X ), Y = vplus( X, skol2( X, Y ) ) }.
% 0.62/1.02 { ! Y = vplus( X, Z ), greater( Y, X ) }.
% 0.62/1.02 { X = Y, X = vplus( Y, skol3( X, Y ) ), Y = vplus( X, skol4( X, Y ) ) }.
% 0.62/1.02 { ! X = Y, ! Y = vplus( X, Z ) }.
% 0.62/1.02 { ! X = vplus( Y, Z ), ! Y = vplus( X, T ) }.
% 0.62/1.02 { ! X = Y, ! X = vplus( Y, Z ) }.
% 0.62/1.02 { X = Y, ! vplus( Z, X ) = vplus( Z, Y ) }.
% 0.62/1.02 { ! Y = vplus( X, Y ) }.
% 0.62/1.02 { vplus( Y, X ) = vplus( X, Y ) }.
% 0.62/1.02 { vplus( vsucc( X ), Y ) = vsucc( vplus( X, Y ) ) }.
% 0.62/1.02 { vplus( v1, X ) = vsucc( X ) }.
% 0.62/1.02 { vplus( vplus( X, Y ), Z ) = vplus( X, vplus( Y, Z ) ) }.
% 0.62/1.02 { vplus( X, vsucc( Y ) ) = vsucc( vplus( X, Y ) ) }.
% 0.62/1.02 { vplus( X, v1 ) = vsucc( X ) }.
% 0.62/1.02 { X = v1, X = vsucc( vskolem2( X ) ) }.
% 0.62/1.02 { ! vsucc( X ) = X }.
% 0.62/1.02 { X = Y, ! vsucc( X ) = vsucc( Y ) }.
% 0.62/1.02 { ! vsucc( X ) = vsucc( Y ), X = Y }.
% 0.62/1.02 { ! vsucc( X ) = v1 }.
% 0.62/1.02
% 0.62/1.02 percentage equality = 0.437500, percentage horn = 0.900000
% 0.62/1.02 This is a problem with some equality
% 0.62/1.02
% 0.62/1.02
% 0.62/1.02
% 0.62/1.02 Options Used:
% 0.62/1.02
% 0.62/1.02 useres = 1
% 0.62/1.02 useparamod = 1
% 0.62/1.02 useeqrefl = 1
% 0.62/1.02 useeqfact = 1
% 0.62/1.02 usefactor = 1
% 0.62/1.02 usesimpsplitting = 0
% 0.62/1.02 usesimpdemod = 5
% 0.62/1.02 usesimpres = 3
% 0.62/1.02
% 0.62/1.02 resimpinuse = 1000
% 0.62/1.02 resimpclauses = 20000
% 0.62/1.02 substype = eqrewr
% 0.62/1.02 backwardsubs = 1
% 0.62/1.02 selectoldest = 5
% 0.62/1.02
% 0.62/1.02 litorderings [0] = split
% 0.62/1.02 litorderings [1] = extend the termordering, first sorting on arguments
% 0.62/1.02
% 0.62/1.02 termordering = kbo
% 0.62/1.02
% 0.62/1.02 litapriori = 0
% 0.62/1.02 termapriori = 1
% 0.62/1.02 litaposteriori = 0
% 0.62/1.02 termaposteriori = 0
% 0.62/1.02 demodaposteriori = 0
% 0.62/1.02 ordereqreflfact = 0
% 0.62/1.02
% 0.62/1.02 litselect = negord
% 0.62/1.02
% 0.62/1.02 maxweight = 15
% 0.62/1.02 maxdepth = 30000
% 0.62/1.02 maxlength = 115
% 0.62/1.02 maxnrvars = 195
% 0.62/1.02 excuselevel = 1
% 0.62/1.02 increasemaxweight = 1
% 0.62/1.02
% 0.62/1.02 maxselected = 10000000
% 0.62/1.02 maxnrclauses = 10000000
% 0.62/1.02
% 0.62/1.02 showgenerated = 0
% 0.62/1.02 showkept = 0
% 0.62/1.02 showselected = 0
% 0.62/1.02 showdeleted = 0
% 0.62/1.02 showresimp = 1
% 0.62/1.02 showstatus = 2000
% 0.62/1.02
% 0.62/1.02 prologoutput = 0
% 0.62/1.02 nrgoals = 5000000
% 0.62/1.02 totalproof = 1
% 0.62/1.02
% 0.62/1.02 Symbols occurring in the translation:
% 0.62/1.02
% 0.62/1.02 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 0.62/1.02 . [1, 2] (w:1, o:81, a:1, s:1, b:0),
% 0.62/1.02 ! [4, 1] (w:0, o:74, a:1, s:1, b:0),
% 0.62/1.02 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.62/1.02 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.62/1.02 vd301 [35, 0] (w:1, o:6, a:1, s:1, b:0),
% 0.62/1.02 vd303 [36, 0] (w:1, o:8, a:1, s:1, b:0),
% 0.62/1.02 vplus [37, 2] (w:1, o:105, a:1, s:1, b:0),
% 0.62/1.02 vd302 [38, 0] (w:1, o:7, a:1, s:1, b:0),
% 0.62/1.02 greater [39, 2] (w:1, o:106, a:1, s:1, b:0),
% 0.62/1.02 less [43, 2] (w:1, o:107, a:1, s:1, b:0),
% 0.62/1.02 vskolem7 [48, 2] (w:1, o:108, a:1, s:1, b:0),
% 0.62/1.02 leq [54, 2] (w:1, o:109, a:1, s:1, b:0),
% 0.62/1.02 geq [63, 2] (w:1, o:110, a:1, s:1, b:0),
% 0.62/1.02 vsucc [95, 1] (w:1, o:79, a:1, s:1, b:0),
% 0.62/1.02 v1 [97, 0] (w:1, o:73, a:1, s:1, b:0),
% 0.62/1.02 vskolem2 [104, 1] (w:1, o:80, a:1, s:1, b:0),
% 0.62/1.02 skol1 [111, 2] (w:1, o:111, a:1, s:1, b:1),
% 0.62/1.02 skol2 [112, 2] (w:1, o:112, a:1, s:1, b:1),
% 0.62/1.02 skol3 [113, 2] (w:1, o:113, a:1, s:1, b:1),
% 0.62/1.02 skol4 [114, 2] (w:1, o:114, a:1, s:1, b:1).
% 0.62/1.02
% 0.62/1.02
% 0.62/1.02 Starting Search:
% 0.62/1.02
% 0.62/1.02
% 0.62/1.02 Bliksems!, er is een bewijs:
% 0.62/1.02 % SZS status Theorem
% 0.62/1.02 % SZS output start Refutation
% 0.62/1.02
% 0.62/1.02 (0) {G0,W7,D3,L1,V0,M1} I { ! greater( vplus( vd301, vd303 ), vplus( vd302
% 0.62/1.02 , vd303 ) ) }.
% 0.62/1.02 (1) {G0,W3,D2,L1,V0,M1} I { greater( vd301, vd302 ) }.
% 0.62/1.02 (3) {G0,W10,D3,L2,V3,M2} I { ! less( X, Y ), greater( vplus( Y, Z ), vplus
% 0.62/1.02 ( X, Z ) ) }.
% 0.62/1.02 (25) {G0,W6,D2,L2,V2,M2} I { ! greater( X, Y ), less( Y, X ) }.
% 0.62/1.02 (62) {G1,W3,D2,L1,V0,M1} R(3,0) { ! less( vd302, vd301 ) }.
% 0.62/1.02 (72) {G2,W0,D0,L0,V0,M0} R(25,62);r(1) { }.
% 0.62/1.02
% 0.62/1.02
% 0.62/1.02 % SZS output end Refutation
% 0.62/1.02 found a proof!
% 0.62/1.02
% 0.62/1.02
% 0.62/1.02 Unprocessed initial clauses:
% 0.62/1.02
% 0.62/1.02 (74) {G0,W7,D3,L1,V0,M1} { ! greater( vplus( vd301, vd303 ), vplus( vd302
% 0.62/1.02 , vd303 ) ) }.
% 0.62/1.02 (75) {G0,W3,D2,L1,V0,M1} { greater( vd301, vd302 ) }.
% 0.62/1.02 (76) {G0,W10,D3,L2,V3,M2} { ! less( X, Y ), less( vplus( X, Z ), vplus( Y
% 0.62/1.02 , Z ) ) }.
% 0.62/1.02 (77) {G0,W10,D3,L2,V3,M2} { ! less( X, Y ), greater( vplus( Y, Z ), vplus
% 0.62/1.02 ( X, Z ) ) }.
% 0.62/1.02 (78) {G0,W6,D2,L2,V2,M2} { ! less( X, Y ), greater( Y, X ) }.
% 0.62/1.02 (79) {G0,W10,D3,L2,V3,M2} { ! X = Y, vplus( X, Z ) = vplus( Y, Z ) }.
% 0.62/1.02 (80) {G0,W10,D3,L2,V3,M2} { ! greater( X, Y ), greater( vplus( X, Z ),
% 0.62/1.02 vplus( Y, Z ) ) }.
% 0.62/1.02 (81) {G0,W18,D4,L2,V3,M2} { ! greater( X, Y ), vplus( vskolem7( X, Y ),
% 0.62/1.02 vplus( Y, Z ) ) = vplus( vplus( Y, Z ), vskolem7( X, Y ) ) }.
% 0.62/1.02 (82) {G0,W18,D5,L2,V3,M2} { ! greater( X, Y ), vplus( vplus( vskolem7( X,
% 0.62/1.02 Y ), Y ), Z ) = vplus( vskolem7( X, Y ), vplus( Y, Z ) ) }.
% 0.62/1.02 (83) {G0,W18,D5,L2,V3,M2} { ! greater( X, Y ), vplus( vplus( Y, vskolem7(
% 0.62/1.02 X, Y ) ), Z ) = vplus( vplus( vskolem7( X, Y ), Y ), Z ) }.
% 0.62/1.02 (84) {G0,W14,D5,L2,V3,M2} { ! greater( X, Y ), vplus( X, Z ) = vplus(
% 0.62/1.02 vplus( Y, vskolem7( X, Y ) ), Z ) }.
% 0.62/1.02 (85) {G0,W10,D4,L2,V2,M2} { ! greater( X, Y ), X = vplus( Y, vskolem7( X,
% 0.62/1.02 Y ) ) }.
% 0.62/1.02 (86) {G0,W5,D3,L1,V2,M1} { greater( vplus( X, Y ), X ) }.
% 0.62/1.02 (87) {G0,W9,D2,L3,V3,M3} { ! leq( Z, Y ), ! leq( X, Z ), leq( X, Y ) }.
% 0.62/1.02 (88) {G0,W9,D2,L3,V3,M3} { ! less( Z, Y ), ! leq( X, Z ), less( X, Y ) }.
% 0.62/1.02 (89) {G0,W9,D2,L3,V3,M3} { ! leq( Z, Y ), ! less( X, Z ), less( X, Y ) }.
% 0.62/1.02 (90) {G0,W9,D2,L3,V3,M3} { ! less( Z, Y ), ! less( X, Z ), less( X, Y )
% 0.62/1.02 }.
% 0.62/1.02 (91) {G0,W6,D2,L2,V2,M2} { ! leq( X, Y ), geq( Y, X ) }.
% 0.62/1.02 (92) {G0,W6,D2,L2,V2,M2} { ! geq( X, Y ), leq( Y, X ) }.
% 0.62/1.02 (93) {G0,W9,D2,L3,V2,M3} { ! leq( Y, X ), less( Y, X ), Y = X }.
% 0.62/1.02 (94) {G0,W6,D2,L2,V2,M2} { ! less( Y, X ), leq( Y, X ) }.
% 0.62/1.02 (95) {G0,W6,D2,L2,V2,M2} { ! Y = X, leq( Y, X ) }.
% 0.62/1.02 (96) {G0,W9,D2,L3,V2,M3} { ! geq( Y, X ), greater( Y, X ), Y = X }.
% 0.62/1.02 (97) {G0,W6,D2,L2,V2,M2} { ! greater( Y, X ), geq( Y, X ) }.
% 0.62/1.02 (98) {G0,W6,D2,L2,V2,M2} { ! Y = X, geq( Y, X ) }.
% 0.62/1.02 (99) {G0,W6,D2,L2,V2,M2} { ! less( X, Y ), greater( Y, X ) }.
% 0.62/1.02 (100) {G0,W6,D2,L2,V2,M2} { ! greater( X, Y ), less( Y, X ) }.
% 0.62/1.02 (101) {G0,W9,D2,L3,V2,M3} { X = Y, greater( X, Y ), less( X, Y ) }.
% 0.62/1.02 (102) {G0,W6,D2,L2,V2,M2} { ! X = Y, ! less( X, Y ) }.
% 0.62/1.02 (103) {G0,W6,D2,L2,V2,M2} { ! greater( X, Y ), ! less( X, Y ) }.
% 0.62/1.02 (104) {G0,W6,D2,L2,V2,M2} { ! X = Y, ! greater( X, Y ) }.
% 0.62/1.02 (105) {G0,W10,D4,L2,V2,M2} { ! less( Y, X ), X = vplus( Y, skol1( X, Y ) )
% 0.62/1.02 }.
% 0.62/1.02 (106) {G0,W8,D3,L2,V3,M2} { ! X = vplus( Y, Z ), less( Y, X ) }.
% 0.62/1.02 (107) {G0,W10,D4,L2,V2,M2} { ! greater( Y, X ), Y = vplus( X, skol2( X, Y
% 0.62/1.02 ) ) }.
% 0.62/1.02 (108) {G0,W8,D3,L2,V3,M2} { ! Y = vplus( X, Z ), greater( Y, X ) }.
% 0.62/1.02 (109) {G0,W17,D4,L3,V2,M3} { X = Y, X = vplus( Y, skol3( X, Y ) ), Y =
% 0.62/1.02 vplus( X, skol4( X, Y ) ) }.
% 0.62/1.02 (110) {G0,W8,D3,L2,V3,M2} { ! X = Y, ! Y = vplus( X, Z ) }.
% 0.62/1.02 (111) {G0,W10,D3,L2,V4,M2} { ! X = vplus( Y, Z ), ! Y = vplus( X, T ) }.
% 0.62/1.02 (112) {G0,W8,D3,L2,V3,M2} { ! X = Y, ! X = vplus( Y, Z ) }.
% 0.62/1.02 (113) {G0,W10,D3,L2,V3,M2} { X = Y, ! vplus( Z, X ) = vplus( Z, Y ) }.
% 0.62/1.02 (114) {G0,W5,D3,L1,V2,M1} { ! Y = vplus( X, Y ) }.
% 0.62/1.02 (115) {G0,W7,D3,L1,V2,M1} { vplus( Y, X ) = vplus( X, Y ) }.
% 0.62/1.02 (116) {G0,W9,D4,L1,V2,M1} { vplus( vsucc( X ), Y ) = vsucc( vplus( X, Y )
% 0.62/1.02 ) }.
% 0.62/1.02 (117) {G0,W6,D3,L1,V1,M1} { vplus( v1, X ) = vsucc( X ) }.
% 0.62/1.02 (118) {G0,W11,D4,L1,V3,M1} { vplus( vplus( X, Y ), Z ) = vplus( X, vplus(
% 0.62/1.02 Y, Z ) ) }.
% 0.62/1.02 (119) {G0,W9,D4,L1,V2,M1} { vplus( X, vsucc( Y ) ) = vsucc( vplus( X, Y )
% 0.62/1.02 ) }.
% 0.62/1.02 (120) {G0,W6,D3,L1,V1,M1} { vplus( X, v1 ) = vsucc( X ) }.
% 0.62/1.02 (121) {G0,W8,D4,L2,V1,M2} { X = v1, X = vsucc( vskolem2( X ) ) }.
% 0.62/1.02 (122) {G0,W4,D3,L1,V1,M1} { ! vsucc( X ) = X }.
% 0.62/1.02 (123) {G0,W8,D3,L2,V2,M2} { X = Y, ! vsucc( X ) = vsucc( Y ) }.
% 0.62/1.02 (124) {G0,W8,D3,L2,V2,M2} { ! vsucc( X ) = vsucc( Y ), X = Y }.
% 0.62/1.02 (125) {G0,W4,D3,L1,V1,M1} { ! vsucc( X ) = v1 }.
% 0.62/1.02
% 0.62/1.02
% 0.62/1.02 Total Proof:
% 0.62/1.02
% 0.62/1.02 subsumption: (0) {G0,W7,D3,L1,V0,M1} I { ! greater( vplus( vd301, vd303 ),
% 0.62/1.02 vplus( vd302, vd303 ) ) }.
% 0.62/1.02 parent0: (74) {G0,W7,D3,L1,V0,M1} { ! greater( vplus( vd301, vd303 ),
% 0.62/1.02 vplus( vd302, vd303 ) ) }.
% 0.62/1.02 substitution0:
% 0.62/1.02 end
% 0.62/1.02 permutation0:
% 0.62/1.02 0 ==> 0
% 0.62/1.02 end
% 0.62/1.02
% 0.62/1.02 subsumption: (1) {G0,W3,D2,L1,V0,M1} I { greater( vd301, vd302 ) }.
% 0.62/1.02 parent0: (75) {G0,W3,D2,L1,V0,M1} { greater( vd301, vd302 ) }.
% 0.62/1.02 substitution0:
% 0.62/1.02 end
% 0.62/1.02 permutation0:
% 0.62/1.02 0 ==> 0
% 0.62/1.02 end
% 0.62/1.02
% 0.62/1.02 subsumption: (3) {G0,W10,D3,L2,V3,M2} I { ! less( X, Y ), greater( vplus( Y
% 0.62/1.02 , Z ), vplus( X, Z ) ) }.
% 0.62/1.02 parent0: (77) {G0,W10,D3,L2,V3,M2} { ! less( X, Y ), greater( vplus( Y, Z
% 0.62/1.02 ), vplus( X, Z ) ) }.
% 0.62/1.02 substitution0:
% 0.62/1.02 X := X
% 0.62/1.02 Y := Y
% 0.62/1.02 Z := Z
% 0.62/1.02 end
% 0.62/1.02 permutation0:
% 0.62/1.02 0 ==> 0
% 0.62/1.02 1 ==> 1
% 0.62/1.02 end
% 0.62/1.02
% 0.62/1.02 subsumption: (25) {G0,W6,D2,L2,V2,M2} I { ! greater( X, Y ), less( Y, X )
% 0.62/1.02 }.
% 0.62/1.02 parent0: (100) {G0,W6,D2,L2,V2,M2} { ! greater( X, Y ), less( Y, X ) }.
% 0.62/1.02 substitution0:
% 0.62/1.02 X := X
% 0.62/1.02 Y := Y
% 0.62/1.02 end
% 0.62/1.02 permutation0:
% 0.62/1.02 0 ==> 0
% 0.62/1.02 1 ==> 1
% 0.62/1.02 end
% 0.62/1.02
% 0.62/1.02 resolution: (138) {G1,W3,D2,L1,V0,M1} { ! less( vd302, vd301 ) }.
% 0.62/1.02 parent0[0]: (0) {G0,W7,D3,L1,V0,M1} I { ! greater( vplus( vd301, vd303 ),
% 0.62/1.02 vplus( vd302, vd303 ) ) }.
% 0.62/1.02 parent1[1]: (3) {G0,W10,D3,L2,V3,M2} I { ! less( X, Y ), greater( vplus( Y
% 0.62/1.02 , Z ), vplus( X, Z ) ) }.
% 0.62/1.02 substitution0:
% 0.62/1.02 end
% 0.62/1.02 substitution1:
% 0.62/1.02 X := vd302
% 0.62/1.02 Y := vd301
% 0.62/1.02 Z := vd303
% 0.62/1.02 end
% 0.62/1.02
% 0.62/1.02 subsumption: (62) {G1,W3,D2,L1,V0,M1} R(3,0) { ! less( vd302, vd301 ) }.
% 0.62/1.02 parent0: (138) {G1,W3,D2,L1,V0,M1} { ! less( vd302, vd301 ) }.
% 0.62/1.02 substitution0:
% 0.62/1.02 end
% 0.62/1.02 permutation0:
% 0.62/1.02 0 ==> 0
% 0.62/1.02 end
% 0.62/1.02
% 0.62/1.02 resolution: (139) {G1,W3,D2,L1,V0,M1} { ! greater( vd301, vd302 ) }.
% 0.62/1.02 parent0[0]: (62) {G1,W3,D2,L1,V0,M1} R(3,0) { ! less( vd302, vd301 ) }.
% 0.62/1.02 parent1[1]: (25) {G0,W6,D2,L2,V2,M2} I { ! greater( X, Y ), less( Y, X )
% 0.62/1.02 }.
% 0.62/1.02 substitution0:
% 0.62/1.02 end
% 0.62/1.02 substitution1:
% 0.62/1.02 X := vd301
% 0.62/1.02 Y := vd302
% 0.62/1.02 end
% 0.62/1.02
% 0.62/1.02 resolution: (140) {G1,W0,D0,L0,V0,M0} { }.
% 0.62/1.02 parent0[0]: (139) {G1,W3,D2,L1,V0,M1} { ! greater( vd301, vd302 ) }.
% 0.62/1.02 parent1[0]: (1) {G0,W3,D2,L1,V0,M1} I { greater( vd301, vd302 ) }.
% 0.62/1.02 substitution0:
% 0.62/1.02 end
% 0.62/1.02 substitution1:
% 0.62/1.02 end
% 0.62/1.02
% 0.62/1.02 subsumption: (72) {G2,W0,D0,L0,V0,M0} R(25,62);r(1) { }.
% 0.62/1.03 parent0: (140) {G1,W0,D0,L0,V0,M0} { }.
% 0.62/1.03 substitution0:
% 0.62/1.03 end
% 0.62/1.03 permutation0:
% 0.62/1.03 end
% 0.62/1.03
% 0.62/1.03 Proof check complete!
% 0.62/1.03
% 0.62/1.03 Memory use:
% 0.62/1.03
% 0.62/1.03 space for terms: 1943
% 0.62/1.03 space for clauses: 5047
% 0.62/1.03
% 0.62/1.03
% 0.62/1.03 clauses generated: 110
% 0.62/1.03 clauses kept: 73
% 0.62/1.03 clauses selected: 25
% 0.62/1.03 clauses deleted: 0
% 0.62/1.03 clauses inuse deleted: 0
% 0.62/1.03
% 0.62/1.03 subsentry: 153
% 0.62/1.03 literals s-matched: 107
% 0.62/1.03 literals matched: 107
% 0.62/1.03 full subsumption: 23
% 0.62/1.03
% 0.62/1.03 checksum: -1311013490
% 0.62/1.03
% 0.62/1.03
% 0.62/1.03 Bliksem ended
%------------------------------------------------------------------------------