%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : NUM838+2 : TPTP v8.1.0. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n013.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 06:26:55 EDT 2022
% Result : Theorem 0.71s 1.14s
% Output : Refutation 0.71s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : NUM838+2 : TPTP v8.1.0. Released v4.1.0.
% 0.13/0.13 % Command : bliksem %s
% 0.13/0.34 % Computer : n013.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % DateTime : Wed Jul 6 05:55:59 EDT 2022
% 0.13/0.35 % CPUTime :
% 0.71/1.14 *** allocated 10000 integers for termspace/termends
% 0.71/1.14 *** allocated 10000 integers for clauses
% 0.71/1.14 *** allocated 10000 integers for justifications
% 0.71/1.14 Bliksem 1.12
% 0.71/1.14
% 0.71/1.14
% 0.71/1.14 Automatic Strategy Selection
% 0.71/1.14
% 0.71/1.14
% 0.71/1.14 Clauses:
% 0.71/1.14
% 0.71/1.14 { ! greater( vplus( vd301, vd303 ), vplus( vd302, vd303 ) ) }.
% 0.71/1.14 { greater( vd301, vd302 ) }.
% 0.71/1.14 { ! less( X, Y ), less( vplus( X, Z ), vplus( Y, Z ) ) }.
% 0.71/1.14 { ! less( X, Y ), greater( vplus( Y, Z ), vplus( X, Z ) ) }.
% 0.71/1.14 { ! less( X, Y ), greater( Y, X ) }.
% 0.71/1.14 { ! X = Y, vplus( X, Z ) = vplus( Y, Z ) }.
% 0.71/1.14 { ! greater( X, Y ), greater( vplus( X, Z ), vplus( Y, Z ) ) }.
% 0.71/1.14 { ! greater( X, Y ), vplus( vskolem7( X, Y ), vplus( Y, Z ) ) = vplus(
% 0.71/1.14 vplus( Y, Z ), vskolem7( X, Y ) ) }.
% 0.71/1.14 { ! greater( X, Y ), vplus( vplus( vskolem7( X, Y ), Y ), Z ) = vplus(
% 0.71/1.14 vskolem7( X, Y ), vplus( Y, Z ) ) }.
% 0.71/1.14 { ! greater( X, Y ), vplus( vplus( Y, vskolem7( X, Y ) ), Z ) = vplus(
% 0.71/1.14 vplus( vskolem7( X, Y ), Y ), Z ) }.
% 0.71/1.14 { ! greater( X, Y ), vplus( X, Z ) = vplus( vplus( Y, vskolem7( X, Y ) ), Z
% 0.71/1.14 ) }.
% 0.71/1.14 { ! greater( X, Y ), X = vplus( Y, vskolem7( X, Y ) ) }.
% 0.71/1.14 { greater( vplus( X, Y ), X ) }.
% 0.71/1.14 { ! leq( Z, Y ), ! leq( X, Z ), leq( X, Y ) }.
% 0.71/1.14 { ! less( X, Y ), greater( Y, X ) }.
% 0.71/1.14 { ! greater( X, Y ), less( Y, X ) }.
% 0.71/1.14 { X = Y, greater( X, Y ), less( X, Y ) }.
% 0.71/1.14 { ! X = Y, ! less( X, Y ) }.
% 0.71/1.14 { ! greater( X, Y ), ! less( X, Y ) }.
% 0.71/1.14 { ! X = Y, ! greater( X, Y ) }.
% 0.71/1.14 { ! less( Y, X ), X = vplus( Y, skol1( X, Y ) ) }.
% 0.71/1.14 { ! X = vplus( Y, Z ), less( Y, X ) }.
% 0.71/1.14 { ! greater( Y, X ), Y = vplus( X, skol2( X, Y ) ) }.
% 0.71/1.14 { ! Y = vplus( X, Z ), greater( Y, X ) }.
% 0.71/1.14 { X = Y, X = vplus( Y, skol3( X, Y ) ), Y = vplus( X, skol4( X, Y ) ) }.
% 0.71/1.14 { ! X = Y, ! Y = vplus( X, Z ) }.
% 0.71/1.14 { ! X = vplus( Y, Z ), ! Y = vplus( X, T ) }.
% 0.71/1.14 { ! X = Y, ! X = vplus( Y, Z ) }.
% 0.71/1.14 { vplus( Y, X ) = vplus( X, Y ) }.
% 0.71/1.14 { vplus( vsucc( X ), Y ) = vsucc( vplus( X, Y ) ) }.
% 0.71/1.14 { vplus( vplus( X, Y ), Z ) = vplus( X, vplus( Y, Z ) ) }.
% 0.71/1.14 { vplus( X, vsucc( Y ) ) = vsucc( vplus( X, Y ) ) }.
% 0.71/1.14 { vplus( X, v1 ) = vsucc( X ) }.
% 0.71/1.14
% 0.71/1.14 percentage equality = 0.474576, percentage horn = 0.937500
% 0.71/1.14 This is a problem with some equality
% 0.71/1.14
% 0.71/1.14
% 0.71/1.14
% 0.71/1.14 Options Used:
% 0.71/1.14
% 0.71/1.14 useres = 1
% 0.71/1.14 useparamod = 1
% 0.71/1.14 useeqrefl = 1
% 0.71/1.14 useeqfact = 1
% 0.71/1.14 usefactor = 1
% 0.71/1.14 usesimpsplitting = 0
% 0.71/1.14 usesimpdemod = 5
% 0.71/1.14 usesimpres = 3
% 0.71/1.14
% 0.71/1.14 resimpinuse = 1000
% 0.71/1.14 resimpclauses = 20000
% 0.71/1.14 substype = eqrewr
% 0.71/1.14 backwardsubs = 1
% 0.71/1.14 selectoldest = 5
% 0.71/1.14
% 0.71/1.14 litorderings [0] = split
% 0.71/1.14 litorderings [1] = extend the termordering, first sorting on arguments
% 0.71/1.14
% 0.71/1.14 termordering = kbo
% 0.71/1.14
% 0.71/1.14 litapriori = 0
% 0.71/1.14 termapriori = 1
% 0.71/1.14 litaposteriori = 0
% 0.71/1.14 termaposteriori = 0
% 0.71/1.14 demodaposteriori = 0
% 0.71/1.14 ordereqreflfact = 0
% 0.71/1.14
% 0.71/1.14 litselect = negord
% 0.71/1.14
% 0.71/1.14 maxweight = 15
% 0.71/1.14 maxdepth = 30000
% 0.71/1.14 maxlength = 115
% 0.71/1.14 maxnrvars = 195
% 0.71/1.14 excuselevel = 1
% 0.71/1.14 increasemaxweight = 1
% 0.71/1.14
% 0.71/1.14 maxselected = 10000000
% 0.71/1.14 maxnrclauses = 10000000
% 0.71/1.14
% 0.71/1.14 showgenerated = 0
% 0.71/1.14 showkept = 0
% 0.71/1.14 showselected = 0
% 0.71/1.14 showdeleted = 0
% 0.71/1.14 showresimp = 1
% 0.71/1.14 showstatus = 2000
% 0.71/1.14
% 0.71/1.14 prologoutput = 0
% 0.71/1.14 nrgoals = 5000000
% 0.71/1.14 totalproof = 1
% 0.71/1.14
% 0.71/1.14 Symbols occurring in the translation:
% 0.71/1.14
% 0.71/1.14 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 0.71/1.14 . [1, 2] (w:1, o:53, a:1, s:1, b:0),
% 0.71/1.14 ! [4, 1] (w:0, o:47, a:1, s:1, b:0),
% 0.71/1.14 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.71/1.14 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.71/1.14 vd301 [35, 0] (w:1, o:6, a:1, s:1, b:0),
% 0.71/1.14 vd303 [36, 0] (w:1, o:8, a:1, s:1, b:0),
% 0.71/1.14 vplus [37, 2] (w:1, o:77, a:1, s:1, b:0),
% 0.71/1.14 vd302 [38, 0] (w:1, o:7, a:1, s:1, b:0),
% 0.71/1.14 greater [39, 2] (w:1, o:78, a:1, s:1, b:0),
% 0.71/1.14 less [43, 2] (w:1, o:79, a:1, s:1, b:0),
% 0.71/1.14 vskolem7 [48, 2] (w:1, o:80, a:1, s:1, b:0),
% 0.71/1.14 leq [54, 2] (w:1, o:81, a:1, s:1, b:0),
% 0.71/1.14 vsucc [75, 1] (w:1, o:52, a:1, s:1, b:0),
% 0.71/1.14 v1 [81, 0] (w:1, o:46, a:1, s:1, b:0),
% 0.71/1.14 skol1 [82, 2] (w:1, o:82, a:1, s:1, b:1),
% 0.71/1.14 skol2 [83, 2] (w:1, o:83, a:1, s:1, b:1),
% 0.71/1.14 skol3 [84, 2] (w:1, o:84, a:1, s:1, b:1),
% 0.71/1.14 skol4 [85, 2] (w:1, o:85, a:1, s:1, b:1).
% 0.71/1.14
% 0.71/1.14
% 0.71/1.14 Starting Search:
% 0.71/1.14
% 0.71/1.14
% 0.71/1.14 Bliksems!, er is een bewijs:
% 0.71/1.14 % SZS status Theorem
% 0.71/1.14 % SZS output start Refutation
% 0.71/1.14
% 0.71/1.14 (0) {G0,W7,D3,L1,V0,M1} I { ! greater( vplus( vd301, vd303 ), vplus( vd302
% 0.71/1.14 , vd303 ) ) }.
% 0.71/1.14 (1) {G0,W3,D2,L1,V0,M1} I { greater( vd301, vd302 ) }.
% 0.71/1.14 (3) {G0,W10,D3,L2,V3,M2} I { ! less( X, Y ), greater( vplus( Y, Z ), vplus
% 0.71/1.14 ( X, Z ) ) }.
% 0.71/1.14 (14) {G0,W6,D2,L2,V2,M2} I { ! greater( X, Y ), less( Y, X ) }.
% 0.71/1.14 (46) {G1,W3,D2,L1,V0,M1} R(3,0) { ! less( vd302, vd301 ) }.
% 0.71/1.14 (48) {G2,W0,D0,L0,V0,M0} R(14,46);r(1) { }.
% 0.71/1.14
% 0.71/1.14
% 0.71/1.14 % SZS output end Refutation
% 0.71/1.14 found a proof!
% 0.71/1.14
% 0.71/1.14
% 0.71/1.14 Unprocessed initial clauses:
% 0.71/1.14
% 0.71/1.14 (50) {G0,W7,D3,L1,V0,M1} { ! greater( vplus( vd301, vd303 ), vplus( vd302
% 0.71/1.14 , vd303 ) ) }.
% 0.71/1.14 (51) {G0,W3,D2,L1,V0,M1} { greater( vd301, vd302 ) }.
% 0.71/1.14 (52) {G0,W10,D3,L2,V3,M2} { ! less( X, Y ), less( vplus( X, Z ), vplus( Y
% 0.71/1.14 , Z ) ) }.
% 0.71/1.14 (53) {G0,W10,D3,L2,V3,M2} { ! less( X, Y ), greater( vplus( Y, Z ), vplus
% 0.71/1.14 ( X, Z ) ) }.
% 0.71/1.14 (54) {G0,W6,D2,L2,V2,M2} { ! less( X, Y ), greater( Y, X ) }.
% 0.71/1.14 (55) {G0,W10,D3,L2,V3,M2} { ! X = Y, vplus( X, Z ) = vplus( Y, Z ) }.
% 0.71/1.14 (56) {G0,W10,D3,L2,V3,M2} { ! greater( X, Y ), greater( vplus( X, Z ),
% 0.71/1.14 vplus( Y, Z ) ) }.
% 0.71/1.14 (57) {G0,W18,D4,L2,V3,M2} { ! greater( X, Y ), vplus( vskolem7( X, Y ),
% 0.71/1.14 vplus( Y, Z ) ) = vplus( vplus( Y, Z ), vskolem7( X, Y ) ) }.
% 0.71/1.14 (58) {G0,W18,D5,L2,V3,M2} { ! greater( X, Y ), vplus( vplus( vskolem7( X,
% 0.71/1.14 Y ), Y ), Z ) = vplus( vskolem7( X, Y ), vplus( Y, Z ) ) }.
% 0.71/1.14 (59) {G0,W18,D5,L2,V3,M2} { ! greater( X, Y ), vplus( vplus( Y, vskolem7(
% 0.71/1.14 X, Y ) ), Z ) = vplus( vplus( vskolem7( X, Y ), Y ), Z ) }.
% 0.71/1.14 (60) {G0,W14,D5,L2,V3,M2} { ! greater( X, Y ), vplus( X, Z ) = vplus(
% 0.71/1.14 vplus( Y, vskolem7( X, Y ) ), Z ) }.
% 0.71/1.14 (61) {G0,W10,D4,L2,V2,M2} { ! greater( X, Y ), X = vplus( Y, vskolem7( X,
% 0.71/1.14 Y ) ) }.
% 0.71/1.14 (62) {G0,W5,D3,L1,V2,M1} { greater( vplus( X, Y ), X ) }.
% 0.71/1.14 (63) {G0,W9,D2,L3,V3,M3} { ! leq( Z, Y ), ! leq( X, Z ), leq( X, Y ) }.
% 0.71/1.14 (64) {G0,W6,D2,L2,V2,M2} { ! less( X, Y ), greater( Y, X ) }.
% 0.71/1.14 (65) {G0,W6,D2,L2,V2,M2} { ! greater( X, Y ), less( Y, X ) }.
% 0.71/1.14 (66) {G0,W9,D2,L3,V2,M3} { X = Y, greater( X, Y ), less( X, Y ) }.
% 0.71/1.14 (67) {G0,W6,D2,L2,V2,M2} { ! X = Y, ! less( X, Y ) }.
% 0.71/1.14 (68) {G0,W6,D2,L2,V2,M2} { ! greater( X, Y ), ! less( X, Y ) }.
% 0.71/1.14 (69) {G0,W6,D2,L2,V2,M2} { ! X = Y, ! greater( X, Y ) }.
% 0.71/1.14 (70) {G0,W10,D4,L2,V2,M2} { ! less( Y, X ), X = vplus( Y, skol1( X, Y ) )
% 0.71/1.14 }.
% 0.71/1.14 (71) {G0,W8,D3,L2,V3,M2} { ! X = vplus( Y, Z ), less( Y, X ) }.
% 0.71/1.14 (72) {G0,W10,D4,L2,V2,M2} { ! greater( Y, X ), Y = vplus( X, skol2( X, Y )
% 0.71/1.14 ) }.
% 0.71/1.14 (73) {G0,W8,D3,L2,V3,M2} { ! Y = vplus( X, Z ), greater( Y, X ) }.
% 0.71/1.14 (74) {G0,W17,D4,L3,V2,M3} { X = Y, X = vplus( Y, skol3( X, Y ) ), Y =
% 0.71/1.14 vplus( X, skol4( X, Y ) ) }.
% 0.71/1.14 (75) {G0,W8,D3,L2,V3,M2} { ! X = Y, ! Y = vplus( X, Z ) }.
% 0.71/1.14 (76) {G0,W10,D3,L2,V4,M2} { ! X = vplus( Y, Z ), ! Y = vplus( X, T ) }.
% 0.71/1.14 (77) {G0,W8,D3,L2,V3,M2} { ! X = Y, ! X = vplus( Y, Z ) }.
% 0.71/1.14 (78) {G0,W7,D3,L1,V2,M1} { vplus( Y, X ) = vplus( X, Y ) }.
% 0.71/1.14 (79) {G0,W9,D4,L1,V2,M1} { vplus( vsucc( X ), Y ) = vsucc( vplus( X, Y ) )
% 0.71/1.14 }.
% 0.71/1.14 (80) {G0,W11,D4,L1,V3,M1} { vplus( vplus( X, Y ), Z ) = vplus( X, vplus( Y
% 0.71/1.14 , Z ) ) }.
% 0.71/1.14 (81) {G0,W9,D4,L1,V2,M1} { vplus( X, vsucc( Y ) ) = vsucc( vplus( X, Y ) )
% 0.71/1.14 }.
% 0.71/1.14 (82) {G0,W6,D3,L1,V1,M1} { vplus( X, v1 ) = vsucc( X ) }.
% 0.71/1.14
% 0.71/1.14
% 0.71/1.14 Total Proof:
% 0.71/1.14
% 0.71/1.14 subsumption: (0) {G0,W7,D3,L1,V0,M1} I { ! greater( vplus( vd301, vd303 ),
% 0.71/1.14 vplus( vd302, vd303 ) ) }.
% 0.71/1.14 parent0: (50) {G0,W7,D3,L1,V0,M1} { ! greater( vplus( vd301, vd303 ),
% 0.71/1.14 vplus( vd302, vd303 ) ) }.
% 0.71/1.14 substitution0:
% 0.71/1.14 end
% 0.71/1.14 permutation0:
% 0.71/1.14 0 ==> 0
% 0.71/1.14 end
% 0.71/1.14
% 0.71/1.14 subsumption: (1) {G0,W3,D2,L1,V0,M1} I { greater( vd301, vd302 ) }.
% 0.71/1.14 parent0: (51) {G0,W3,D2,L1,V0,M1} { greater( vd301, vd302 ) }.
% 0.71/1.14 substitution0:
% 0.71/1.14 end
% 0.71/1.14 permutation0:
% 0.71/1.14 0 ==> 0
% 0.71/1.14 end
% 0.71/1.14
% 0.71/1.14 subsumption: (3) {G0,W10,D3,L2,V3,M2} I { ! less( X, Y ), greater( vplus( Y
% 0.71/1.14 , Z ), vplus( X, Z ) ) }.
% 0.71/1.14 parent0: (53) {G0,W10,D3,L2,V3,M2} { ! less( X, Y ), greater( vplus( Y, Z
% 0.71/1.14 ), vplus( X, Z ) ) }.
% 0.71/1.14 substitution0:
% 0.71/1.14 X := X
% 0.71/1.14 Y := Y
% 0.71/1.14 Z := Z
% 0.71/1.14 end
% 0.71/1.14 permutation0:
% 0.71/1.14 0 ==> 0
% 0.71/1.14 1 ==> 1
% 0.71/1.14 end
% 0.71/1.14
% 0.71/1.14 subsumption: (14) {G0,W6,D2,L2,V2,M2} I { ! greater( X, Y ), less( Y, X )
% 0.71/1.14 }.
% 0.71/1.14 parent0: (65) {G0,W6,D2,L2,V2,M2} { ! greater( X, Y ), less( Y, X ) }.
% 0.71/1.14 substitution0:
% 0.71/1.14 X := X
% 0.71/1.14 Y := Y
% 0.71/1.14 end
% 0.71/1.14 permutation0:
% 0.71/1.14 0 ==> 0
% 0.71/1.14 1 ==> 1
% 0.71/1.14 end
% 0.71/1.14
% 0.71/1.14 resolution: (90) {G1,W3,D2,L1,V0,M1} { ! less( vd302, vd301 ) }.
% 0.71/1.14 parent0[0]: (0) {G0,W7,D3,L1,V0,M1} I { ! greater( vplus( vd301, vd303 ),
% 0.71/1.14 vplus( vd302, vd303 ) ) }.
% 0.71/1.14 parent1[1]: (3) {G0,W10,D3,L2,V3,M2} I { ! less( X, Y ), greater( vplus( Y
% 0.71/1.14 , Z ), vplus( X, Z ) ) }.
% 0.71/1.14 substitution0:
% 0.71/1.14 end
% 0.71/1.14 substitution1:
% 0.71/1.14 X := vd302
% 0.71/1.14 Y := vd301
% 0.71/1.14 Z := vd303
% 0.71/1.14 end
% 0.71/1.14
% 0.71/1.14 subsumption: (46) {G1,W3,D2,L1,V0,M1} R(3,0) { ! less( vd302, vd301 ) }.
% 0.71/1.14 parent0: (90) {G1,W3,D2,L1,V0,M1} { ! less( vd302, vd301 ) }.
% 0.71/1.14 substitution0:
% 0.71/1.14 end
% 0.71/1.14 permutation0:
% 0.71/1.14 0 ==> 0
% 0.71/1.14 end
% 0.71/1.14
% 0.71/1.14 resolution: (91) {G1,W3,D2,L1,V0,M1} { ! greater( vd301, vd302 ) }.
% 0.71/1.14 parent0[0]: (46) {G1,W3,D2,L1,V0,M1} R(3,0) { ! less( vd302, vd301 ) }.
% 0.71/1.14 parent1[1]: (14) {G0,W6,D2,L2,V2,M2} I { ! greater( X, Y ), less( Y, X )
% 0.71/1.14 }.
% 0.71/1.14 substitution0:
% 0.71/1.14 end
% 0.71/1.14 substitution1:
% 0.71/1.14 X := vd301
% 0.71/1.14 Y := vd302
% 0.71/1.14 end
% 0.71/1.14
% 0.71/1.14 resolution: (92) {G1,W0,D0,L0,V0,M0} { }.
% 0.71/1.14 parent0[0]: (91) {G1,W3,D2,L1,V0,M1} { ! greater( vd301, vd302 ) }.
% 0.71/1.14 parent1[0]: (1) {G0,W3,D2,L1,V0,M1} I { greater( vd301, vd302 ) }.
% 0.71/1.14 substitution0:
% 0.71/1.14 end
% 0.71/1.14 substitution1:
% 0.71/1.14 end
% 0.71/1.14
% 0.71/1.14 subsumption: (48) {G2,W0,D0,L0,V0,M0} R(14,46);r(1) { }.
% 0.71/1.14 parent0: (92) {G1,W0,D0,L0,V0,M0} { }.
% 0.71/1.14 substitution0:
% 0.71/1.14 end
% 0.71/1.14 permutation0:
% 0.71/1.14 end
% 0.71/1.14
% 0.71/1.14 Proof check complete!
% 0.71/1.14
% 0.71/1.14 Memory use:
% 0.71/1.14
% 0.71/1.14 space for terms: 1367
% 0.71/1.14 space for clauses: 3782
% 0.71/1.14
% 0.71/1.14
% 0.71/1.14 clauses generated: 66
% 0.71/1.14 clauses kept: 49
% 0.71/1.14 clauses selected: 18
% 0.71/1.14 clauses deleted: 0
% 0.71/1.14 clauses inuse deleted: 0
% 0.71/1.14
% 0.71/1.14 subsentry: 90
% 0.71/1.14 literals s-matched: 59
% 0.71/1.14 literals matched: 59
% 0.71/1.14 full subsumption: 13
% 0.71/1.14
% 0.71/1.14 checksum: -620287404
% 0.71/1.14
% 0.71/1.14
% 0.71/1.14 Bliksem ended
%------------------------------------------------------------------------------