TSTP Solution File: NUM835+2 by Bliksem---1.12
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%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : NUM835+2 : TPTP v8.1.0. Released v4.1.0.
% 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 : Mon Jul 18 06:26:53 EDT 2022
% Result : Theorem 0.73s 1.10s
% Output : Refutation 0.73s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : NUM835+2 : TPTP v8.1.0. Released v4.1.0.
% 0.03/0.12 % 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 : Wed Jul 6 07:44:48 EDT 2022
% 0.13/0.33 % CPUTime :
% 0.73/1.10 *** allocated 10000 integers for termspace/termends
% 0.73/1.10 *** allocated 10000 integers for clauses
% 0.73/1.10 *** allocated 10000 integers for justifications
% 0.73/1.10 Bliksem 1.12
% 0.73/1.10
% 0.73/1.10
% 0.73/1.10 Automatic Strategy Selection
% 0.73/1.10
% 0.73/1.10
% 0.73/1.10 Clauses:
% 0.73/1.10
% 0.73/1.10 { ! vd165 = vplus( vd151, X ) }.
% 0.73/1.10 { ! vd151 = vplus( vd165, X ) }.
% 0.73/1.10 { ! vd151 = vd165 }.
% 0.73/1.10 { ! vd165 = vplus( vd151, X ), m( vsucc( vd165 ) ) }.
% 0.73/1.10 { ! vd165 = vplus( vd151, X ), vsucc( vplus( vd151, X ) ) = vplus( vd151,
% 0.73/1.10 vsucc( X ) ) }.
% 0.73/1.10 { ! vd165 = vplus( vd151, X ), vsucc( vd165 ) = vsucc( vplus( vd151, X ) )
% 0.73/1.10 }.
% 0.73/1.10 { ! vd151 = vplus( vd165, X ), X = v1, m( vsucc( vd165 ) ) }.
% 0.73/1.10 { ! vd151 = vplus( vd165, X ), X = v1, vplus( vplus( vd165, v1 ), vskolem3
% 0.73/1.10 ) = vplus( vsucc( vd165 ), vskolem3 ) }.
% 0.73/1.10 { ! vd151 = vplus( vd165, X ), X = v1, vplus( vd165, vplus( v1, vskolem3 )
% 0.73/1.10 ) = vplus( vplus( vd165, v1 ), vskolem3 ) }.
% 0.73/1.10 { ! vd151 = vplus( vd165, X ), X = v1, vd151 = vplus( vd165, vplus( v1,
% 0.73/1.10 vskolem3 ) ) }.
% 0.73/1.10 { ! vd151 = vplus( vd165, X ), X = v1, vsucc( vskolem3 ) = vplus( v1,
% 0.73/1.10 vskolem3 ) }.
% 0.73/1.10 { ! vd151 = vplus( vd165, X ), X = v1, X = vsucc( vskolem3 ) }.
% 0.73/1.10 { ! vd151 = vplus( vd165, X ), ! X = v1, m( vsucc( vd165 ) ) }.
% 0.73/1.10 { ! vd151 = vplus( vd165, X ), ! X = v1, vplus( vd165, v1 ) = vsucc( vd165
% 0.73/1.10 ) }.
% 0.73/1.10 { ! vd151 = vplus( vd165, X ), ! X = v1, vd151 = vplus( vd165, v1 ) }.
% 0.73/1.10 { ! vd151 = vd165, m( vsucc( vd165 ) ) }.
% 0.73/1.10 { ! vd151 = vd165, vplus( vd165, v1 ) = vplus( vd151, v1 ) }.
% 0.73/1.10 { ! vd151 = vd165, vsucc( vd165 ) = vplus( vd165, v1 ) }.
% 0.73/1.10 { ! m( Y ), X = Y, alpha1( X, Y ) }.
% 0.73/1.10 { ! X = Y, m( Y ) }.
% 0.73/1.10 { ! alpha1( X, Y ), m( Y ) }.
% 0.73/1.10 { ! alpha1( X, Y ), X = vplus( Y, skol1( X, Y ) ), Y = vplus( X, skol2( X,
% 0.73/1.10 Y ) ) }.
% 0.73/1.10 { ! X = vplus( Y, Z ), alpha1( X, Y ) }.
% 0.73/1.10 { ! Y = vplus( X, Z ), alpha1( X, Y ) }.
% 0.73/1.10 { vplus( Y, X ) = vplus( X, Y ) }.
% 0.73/1.10 { vplus( vsucc( X ), Y ) = vsucc( vplus( X, Y ) ) }.
% 0.73/1.10 { vplus( v1, X ) = vsucc( X ) }.
% 0.73/1.10 { vplus( vplus( X, Y ), Z ) = vplus( X, vplus( Y, Z ) ) }.
% 0.73/1.10 { vplus( X, vsucc( Y ) ) = vsucc( vplus( X, Y ) ) }.
% 0.73/1.10 { vplus( X, v1 ) = vsucc( X ) }.
% 0.73/1.10 { X = v1, X = vsucc( vskolem2( X ) ) }.
% 0.73/1.10 { ! vsucc( X ) = X }.
% 0.73/1.10
% 0.73/1.10 percentage equality = 0.692308, percentage horn = 0.823529
% 0.73/1.10 This is a problem with some equality
% 0.73/1.10
% 0.73/1.10
% 0.73/1.10
% 0.73/1.10 Options Used:
% 0.73/1.10
% 0.73/1.10 useres = 1
% 0.73/1.10 useparamod = 1
% 0.73/1.10 useeqrefl = 1
% 0.73/1.10 useeqfact = 1
% 0.73/1.10 usefactor = 1
% 0.73/1.10 usesimpsplitting = 0
% 0.73/1.10 usesimpdemod = 5
% 0.73/1.10 usesimpres = 3
% 0.73/1.10
% 0.73/1.10 resimpinuse = 1000
% 0.73/1.10 resimpclauses = 20000
% 0.73/1.10 substype = eqrewr
% 0.73/1.10 backwardsubs = 1
% 0.73/1.10 selectoldest = 5
% 0.73/1.10
% 0.73/1.10 litorderings [0] = split
% 0.73/1.10 litorderings [1] = extend the termordering, first sorting on arguments
% 0.73/1.10
% 0.73/1.10 termordering = kbo
% 0.73/1.10
% 0.73/1.10 litapriori = 0
% 0.73/1.10 termapriori = 1
% 0.73/1.10 litaposteriori = 0
% 0.73/1.10 termaposteriori = 0
% 0.73/1.10 demodaposteriori = 0
% 0.73/1.10 ordereqreflfact = 0
% 0.73/1.10
% 0.73/1.10 litselect = negord
% 0.73/1.10
% 0.73/1.10 maxweight = 15
% 0.73/1.10 maxdepth = 30000
% 0.73/1.10 maxlength = 115
% 0.73/1.10 maxnrvars = 195
% 0.73/1.10 excuselevel = 1
% 0.73/1.10 increasemaxweight = 1
% 0.73/1.10
% 0.73/1.10 maxselected = 10000000
% 0.73/1.10 maxnrclauses = 10000000
% 0.73/1.10
% 0.73/1.10 showgenerated = 0
% 0.73/1.10 showkept = 0
% 0.73/1.10 showselected = 0
% 0.73/1.10 showdeleted = 0
% 0.73/1.10 showresimp = 1
% 0.73/1.10 showstatus = 2000
% 0.73/1.10
% 0.73/1.10 prologoutput = 0
% 0.73/1.10 nrgoals = 5000000
% 0.73/1.10 totalproof = 1
% 0.73/1.10
% 0.73/1.10 Symbols occurring in the translation:
% 0.73/1.10
% 0.73/1.10 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 0.73/1.10 . [1, 2] (w:1, o:36, a:1, s:1, b:0),
% 0.73/1.10 ! [4, 1] (w:0, o:28, a:1, s:1, b:0),
% 0.73/1.10 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.73/1.10 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.73/1.10 vd165 [36, 0] (w:1, o:10, a:1, s:1, b:0),
% 0.73/1.10 vd151 [37, 0] (w:1, o:9, a:1, s:1, b:0),
% 0.73/1.10 vplus [38, 2] (w:1, o:60, a:1, s:1, b:0),
% 0.73/1.10 vsucc [40, 1] (w:1, o:33, a:1, s:1, b:0),
% 0.73/1.10 m [41, 1] (w:1, o:34, a:1, s:1, b:0),
% 0.73/1.10 v1 [42, 0] (w:1, o:11, a:1, s:1, b:0),
% 0.73/1.10 vskolem3 [43, 0] (w:1, o:12, a:1, s:1, b:0),
% 0.73/1.10 vskolem2 [59, 1] (w:1, o:35, a:1, s:1, b:0),
% 0.73/1.10 alpha1 [61, 2] (w:1, o:61, a:1, s:1, b:1),
% 0.73/1.10 skol1 [62, 2] (w:1, o:62, a:1, s:1, b:1),
% 0.73/1.10 skol2 [63, 2] (w:1, o:63, a:1, s:1, b:1).
% 0.73/1.10
% 0.73/1.10
% 0.73/1.10 Starting Search:
% 0.73/1.10
% 0.73/1.10 *** allocated 15000 integers for clauses
% 0.73/1.10 *** allocated 22500 integers for clauses
% 0.73/1.10 *** allocated 33750 integers for clauses
% 0.73/1.10 *** allocated 50625 integers for clauses
% 0.73/1.10
% 0.73/1.10 Bliksems!, er is een bewijs:
% 0.73/1.10 % SZS status Theorem
% 0.73/1.10 % SZS output start Refutation
% 0.73/1.10
% 0.73/1.10 (0) {G0,W5,D3,L1,V1,M1} I { ! vplus( vd151, X ) ==> vd165 }.
% 0.73/1.10 (1) {G0,W5,D3,L1,V1,M1} I { ! vplus( vd165, X ) ==> vd151 }.
% 0.73/1.10 (2) {G0,W3,D2,L1,V0,M1} I { ! vd165 ==> vd151 }.
% 0.73/1.10 (3) {G0,W8,D2,L3,V2,M3} I { ! m( Y ), X = Y, alpha1( X, Y ) }.
% 0.73/1.10 (4) {G0,W5,D2,L2,V2,M2} I { ! X = Y, m( Y ) }.
% 0.73/1.10 (6) {G0,W17,D4,L3,V2,M3} I { ! alpha1( X, Y ), vplus( Y, skol1( X, Y ) )
% 0.73/1.10 ==> X, vplus( X, skol2( X, Y ) ) ==> Y }.
% 0.73/1.10 (17) {G1,W2,D2,L1,V1,M1} Q(4) { m( X ) }.
% 0.73/1.10 (22) {G2,W6,D2,L2,V2,M2} S(3);r(17) { X = Y, alpha1( X, Y ) }.
% 0.73/1.10 (43) {G3,W6,D2,L2,V1,M2} P(22,2) { ! X = vd151, alpha1( vd165, X ) }.
% 0.73/1.10 (46) {G4,W3,D2,L1,V0,M1} Q(43) { alpha1( vd165, vd151 ) }.
% 0.73/1.10 (57) {G5,W7,D4,L1,V0,M1} R(6,46);r(0) { vplus( vd165, skol2( vd165, vd151 )
% 0.73/1.10 ) ==> vd151 }.
% 0.73/1.10 (800) {G6,W0,D0,L0,V0,M0} S(57);r(1) { }.
% 0.73/1.10
% 0.73/1.10
% 0.73/1.10 % SZS output end Refutation
% 0.73/1.10 found a proof!
% 0.73/1.10
% 0.73/1.10
% 0.73/1.10 Unprocessed initial clauses:
% 0.73/1.10
% 0.73/1.10 (802) {G0,W5,D3,L1,V1,M1} { ! vd165 = vplus( vd151, X ) }.
% 0.73/1.10 (803) {G0,W5,D3,L1,V1,M1} { ! vd151 = vplus( vd165, X ) }.
% 0.73/1.10 (804) {G0,W3,D2,L1,V0,M1} { ! vd151 = vd165 }.
% 0.73/1.10 (805) {G0,W8,D3,L2,V1,M2} { ! vd165 = vplus( vd151, X ), m( vsucc( vd165 )
% 0.73/1.10 ) }.
% 0.73/1.10 (806) {G0,W14,D4,L2,V1,M2} { ! vd165 = vplus( vd151, X ), vsucc( vplus(
% 0.73/1.10 vd151, X ) ) = vplus( vd151, vsucc( X ) ) }.
% 0.73/1.10 (807) {G0,W12,D4,L2,V1,M2} { ! vd165 = vplus( vd151, X ), vsucc( vd165 ) =
% 0.73/1.10 vsucc( vplus( vd151, X ) ) }.
% 0.73/1.10 (808) {G0,W11,D3,L3,V1,M3} { ! vd151 = vplus( vd165, X ), X = v1, m( vsucc
% 0.73/1.10 ( vd165 ) ) }.
% 0.73/1.10 (809) {G0,W18,D4,L3,V1,M3} { ! vd151 = vplus( vd165, X ), X = v1, vplus(
% 0.73/1.10 vplus( vd165, v1 ), vskolem3 ) = vplus( vsucc( vd165 ), vskolem3 ) }.
% 0.73/1.10 (810) {G0,W19,D4,L3,V1,M3} { ! vd151 = vplus( vd165, X ), X = v1, vplus(
% 0.73/1.10 vd165, vplus( v1, vskolem3 ) ) = vplus( vplus( vd165, v1 ), vskolem3 )
% 0.73/1.10 }.
% 0.73/1.10 (811) {G0,W15,D4,L3,V1,M3} { ! vd151 = vplus( vd165, X ), X = v1, vd151 =
% 0.73/1.10 vplus( vd165, vplus( v1, vskolem3 ) ) }.
% 0.73/1.10 (812) {G0,W14,D3,L3,V1,M3} { ! vd151 = vplus( vd165, X ), X = v1, vsucc(
% 0.73/1.10 vskolem3 ) = vplus( v1, vskolem3 ) }.
% 0.73/1.10 (813) {G0,W12,D3,L3,V1,M3} { ! vd151 = vplus( vd165, X ), X = v1, X =
% 0.73/1.10 vsucc( vskolem3 ) }.
% 0.73/1.10 (814) {G0,W11,D3,L3,V1,M3} { ! vd151 = vplus( vd165, X ), ! X = v1, m(
% 0.73/1.10 vsucc( vd165 ) ) }.
% 0.73/1.10 (815) {G0,W14,D3,L3,V1,M3} { ! vd151 = vplus( vd165, X ), ! X = v1, vplus
% 0.73/1.10 ( vd165, v1 ) = vsucc( vd165 ) }.
% 0.73/1.10 (816) {G0,W13,D3,L3,V1,M3} { ! vd151 = vplus( vd165, X ), ! X = v1, vd151
% 0.73/1.10 = vplus( vd165, v1 ) }.
% 0.73/1.10 (817) {G0,W6,D3,L2,V0,M2} { ! vd151 = vd165, m( vsucc( vd165 ) ) }.
% 0.73/1.10 (818) {G0,W10,D3,L2,V0,M2} { ! vd151 = vd165, vplus( vd165, v1 ) = vplus(
% 0.73/1.10 vd151, v1 ) }.
% 0.73/1.10 (819) {G0,W9,D3,L2,V0,M2} { ! vd151 = vd165, vsucc( vd165 ) = vplus( vd165
% 0.73/1.10 , v1 ) }.
% 0.73/1.10 (820) {G0,W8,D2,L3,V2,M3} { ! m( Y ), X = Y, alpha1( X, Y ) }.
% 0.73/1.10 (821) {G0,W5,D2,L2,V2,M2} { ! X = Y, m( Y ) }.
% 0.73/1.10 (822) {G0,W5,D2,L2,V2,M2} { ! alpha1( X, Y ), m( Y ) }.
% 0.73/1.10 (823) {G0,W17,D4,L3,V2,M3} { ! alpha1( X, Y ), X = vplus( Y, skol1( X, Y )
% 0.73/1.10 ), Y = vplus( X, skol2( X, Y ) ) }.
% 0.73/1.10 (824) {G0,W8,D3,L2,V3,M2} { ! X = vplus( Y, Z ), alpha1( X, Y ) }.
% 0.73/1.10 (825) {G0,W8,D3,L2,V3,M2} { ! Y = vplus( X, Z ), alpha1( X, Y ) }.
% 0.73/1.10 (826) {G0,W7,D3,L1,V2,M1} { vplus( Y, X ) = vplus( X, Y ) }.
% 0.73/1.10 (827) {G0,W9,D4,L1,V2,M1} { vplus( vsucc( X ), Y ) = vsucc( vplus( X, Y )
% 0.73/1.10 ) }.
% 0.73/1.10 (828) {G0,W6,D3,L1,V1,M1} { vplus( v1, X ) = vsucc( X ) }.
% 0.73/1.10 (829) {G0,W11,D4,L1,V3,M1} { vplus( vplus( X, Y ), Z ) = vplus( X, vplus(
% 0.73/1.10 Y, Z ) ) }.
% 0.73/1.10 (830) {G0,W9,D4,L1,V2,M1} { vplus( X, vsucc( Y ) ) = vsucc( vplus( X, Y )
% 0.73/1.10 ) }.
% 0.73/1.10 (831) {G0,W6,D3,L1,V1,M1} { vplus( X, v1 ) = vsucc( X ) }.
% 0.73/1.10 (832) {G0,W8,D4,L2,V1,M2} { X = v1, X = vsucc( vskolem2( X ) ) }.
% 0.73/1.10 (833) {G0,W4,D3,L1,V1,M1} { ! vsucc( X ) = X }.
% 0.73/1.10
% 0.73/1.10
% 0.73/1.10 Total Proof:
% 0.73/1.10
% 0.73/1.10 eqswap: (834) {G0,W5,D3,L1,V1,M1} { ! vplus( vd151, X ) = vd165 }.
% 0.73/1.10 parent0[0]: (802) {G0,W5,D3,L1,V1,M1} { ! vd165 = vplus( vd151, X ) }.
% 0.73/1.10 substitution0:
% 0.73/1.10 X := X
% 0.73/1.10 end
% 0.73/1.10
% 0.73/1.10 subsumption: (0) {G0,W5,D3,L1,V1,M1} I { ! vplus( vd151, X ) ==> vd165 }.
% 0.73/1.10 parent0: (834) {G0,W5,D3,L1,V1,M1} { ! vplus( vd151, X ) = vd165 }.
% 0.73/1.10 substitution0:
% 0.73/1.10 X := X
% 0.73/1.10 end
% 0.73/1.10 permutation0:
% 0.73/1.10 0 ==> 0
% 0.73/1.10 end
% 0.73/1.10
% 0.73/1.10 eqswap: (836) {G0,W5,D3,L1,V1,M1} { ! vplus( vd165, X ) = vd151 }.
% 202.02/202.44 parent0[0]: (803) {G0,W5,D3,L1,V1,M1} { ! vd151 = vplus( vd165, X ) }.
% 202.02/202.44 substitution0:
% 202.02/202.44 X := X
% 202.02/202.44 end
% 202.02/202.44
% 202.02/202.44 subsumption: (1) {G0,W5,D3,L1,V1,M1} I { ! vplus( vd165, X ) ==> vd151 }.
% 202.02/202.44 parent0: (836) {G0,W5,D3,L1,V1,M1} { ! vplus( vd165, X ) = vd151 }.
% 202.02/202.44 substitution0:
% 202.02/202.44 X := X
% 202.02/202.44 end
% 202.02/202.44 permutation0:
% 202.02/202.44 0 ==> 0
% 202.02/202.44 end
% 202.02/202.44
% 202.02/202.44 eqswap: (839) {G0,W3,D2,L1,V0,M1} { ! vd165 = vd151 }.
% 202.02/202.44 parent0[0]: (804) {G0,W3,D2,L1,V0,M1} { ! vd151 = vd165 }.
% 202.02/202.44 substitution0:
% 202.02/202.44 end
% 202.02/202.44
% 202.02/202.44 subsumption: (2) {G0,W3,D2,L1,V0,M1} I { ! vd165 ==> vd151 }.
% 202.02/202.44 parent0: (839) {G0,W3,D2,L1,V0,M1} { ! vd165 = vd151 }.
% 202.02/202.44 substitution0:
% 202.02/202.44 end
% 202.02/202.44 permutation0:
% 202.02/202.44 0 ==> 0
% 202.02/202.44 end
% 202.02/202.44
% 202.02/202.44 *** allocated 15000 integers for termspace/termends
% 202.02/202.44 subsumption: (3) {G0,W8,D2,L3,V2,M3} I { ! m( Y ), X = Y, alpha1( X, Y )
% 202.02/202.44 }.
% 202.02/202.44 parent0: (820) {G0,W8,D2,L3,V2,M3} { ! m( Y ), X = Y, alpha1( X, Y ) }.
% 202.02/202.44 substitution0:
% 202.02/202.44 X := X
% 202.02/202.44 Y := Y
% 202.02/202.44 end
% 202.02/202.44 permutation0:
% 202.02/202.44 0 ==> 0
% 202.02/202.44 1 ==> 1
% 202.02/202.44 2 ==> 2
% 202.02/202.44 end
% 202.02/202.44
% 202.02/202.44 subsumption: (4) {G0,W5,D2,L2,V2,M2} I { ! X = Y, m( Y ) }.
% 202.02/202.44 parent0: (821) {G0,W5,D2,L2,V2,M2} { ! X = Y, m( Y ) }.
% 202.02/202.45 substitution0:
% 202.02/202.45 X := X
% 202.02/202.45 Y := Y
% 202.02/202.45 end
% 202.02/202.45 permutation0:
% 202.02/202.45 0 ==> 0
% 202.02/202.45 1 ==> 1
% 202.02/202.45 end
% 202.02/202.45
% 202.02/202.45 eqswap: (1062) {G0,W17,D4,L3,V2,M3} { vplus( Y, skol2( Y, X ) ) = X, !
% 202.02/202.45 alpha1( Y, X ), Y = vplus( X, skol1( Y, X ) ) }.
% 202.02/202.45 parent0[2]: (823) {G0,W17,D4,L3,V2,M3} { ! alpha1( X, Y ), X = vplus( Y,
% 202.02/202.45 skol1( X, Y ) ), Y = vplus( X, skol2( X, Y ) ) }.
% 202.02/202.45 substitution0:
% 202.02/202.45 X := Y
% 202.02/202.45 Y := X
% 202.02/202.45 end
% 202.02/202.45
% 202.02/202.45 eqswap: (1063) {G0,W17,D4,L3,V2,M3} { vplus( Y, skol1( X, Y ) ) = X, vplus
% 202.02/202.45 ( X, skol2( X, Y ) ) = Y, ! alpha1( X, Y ) }.
% 202.02/202.45 parent0[2]: (1062) {G0,W17,D4,L3,V2,M3} { vplus( Y, skol2( Y, X ) ) = X, !
% 202.02/202.45 alpha1( Y, X ), Y = vplus( X, skol1( Y, X ) ) }.
% 202.02/202.45 substitution0:
% 202.02/202.45 X := Y
% 202.02/202.45 Y := X
% 202.02/202.45 end
% 202.02/202.45
% 202.02/202.45 subsumption: (6) {G0,W17,D4,L3,V2,M3} I { ! alpha1( X, Y ), vplus( Y, skol1
% 202.02/202.45 ( X, Y ) ) ==> X, vplus( X, skol2( X, Y ) ) ==> Y }.
% 202.02/202.45 parent0: (1063) {G0,W17,D4,L3,V2,M3} { vplus( Y, skol1( X, Y ) ) = X,
% 202.02/202.45 vplus( X, skol2( X, Y ) ) = Y, ! alpha1( X, Y ) }.
% 202.02/202.45 substitution0:
% 202.02/202.45 X := X
% 202.02/202.45 Y := Y
% 202.02/202.45 end
% 202.02/202.45 permutation0:
% 202.02/202.45 0 ==> 1
% 202.02/202.45 1 ==> 2
% 202.02/202.45 2 ==> 0
% 202.02/202.45 end
% 202.02/202.45
% 202.02/202.45 eqswap: (1064) {G0,W5,D2,L2,V2,M2} { ! Y = X, m( Y ) }.
% 202.02/202.45 parent0[0]: (4) {G0,W5,D2,L2,V2,M2} I { ! X = Y, m( Y ) }.
% 202.02/202.45 substitution0:
% 202.02/202.45 X := X
% 202.02/202.45 Y := Y
% 202.02/202.45 end
% 202.02/202.45
% 202.02/202.45 eqrefl: (1065) {G0,W2,D2,L1,V1,M1} { m( X ) }.
% 202.02/202.45 parent0[0]: (1064) {G0,W5,D2,L2,V2,M2} { ! Y = X, m( Y ) }.
% 202.02/202.45 substitution0:
% 202.02/202.45 X := X
% 202.02/202.45 Y := X
% 202.02/202.45 end
% 202.02/202.45
% 202.02/202.45 subsumption: (17) {G1,W2,D2,L1,V1,M1} Q(4) { m( X ) }.
% 202.02/202.45 parent0: (1065) {G0,W2,D2,L1,V1,M1} { m( X ) }.
% 202.02/202.45 substitution0:
% 202.02/202.45 X := X
% 202.02/202.45 end
% 202.02/202.45 permutation0:
% 202.02/202.45 0 ==> 0
% 202.02/202.45 end
% 202.02/202.45
% 202.02/202.45 resolution: (1067) {G1,W6,D2,L2,V2,M2} { Y = X, alpha1( Y, X ) }.
% 202.02/202.45 parent0[0]: (3) {G0,W8,D2,L3,V2,M3} I { ! m( Y ), X = Y, alpha1( X, Y ) }.
% 202.02/202.45 parent1[0]: (17) {G1,W2,D2,L1,V1,M1} Q(4) { m( X ) }.
% 202.02/202.45 substitution0:
% 202.02/202.45 X := Y
% 202.02/202.45 Y := X
% 202.02/202.45 end
% 202.02/202.45 substitution1:
% 202.02/202.45 X := X
% 202.02/202.45 end
% 202.02/202.45
% 202.02/202.45 subsumption: (22) {G2,W6,D2,L2,V2,M2} S(3);r(17) { X = Y, alpha1( X, Y )
% 202.02/202.45 }.
% 202.02/202.45 parent0: (1067) {G1,W6,D2,L2,V2,M2} { Y = X, alpha1( Y, X ) }.
% 202.02/202.45 substitution0:
% 202.02/202.45 X := Y
% 202.02/202.45 Y := X
% 202.02/202.45 end
% 202.02/202.45 permutation0:
% 202.02/202.45 0 ==> 0
% 202.02/202.45 1 ==> 1
% 202.02/202.45 end
% 202.02/202.45
% 202.02/202.45 *** allocated 22500 integers for termspace/termends
% 202.02/202.45 *** allocated 75937 integers for clauses
% 202.02/202.45 *** allocated 15000 integers for justifications
% 202.02/202.45 *** allocated 33750 integers for termspace/termends
% 202.02/202.45 *** allocated 22500 integers for justifications
% 202.02/202.45 *** allocated 33750 integers for justifications
% 202.02/202.45 *** allocated 50625 integers for termspace/termends
% 202.02/202.45 *** allocated 50625 integers for justifications
% 202.02/202.45 *** allocated 113905 integers for clauses
% 202.02/202.45 *** allocated 75937 integers for justifications
% 202.02/202.45 *** allocated 75937 integers for termspace/termends
% 202.02/202.45 *** allocated 113905 integers for justifications
% 202.02/202.45 *** allocated 170857 integers for clauses
% 202.02/202.45 *** allocated 113905 integers for termspace/termends
% 202.02/202.45 *** allocated 170857 integers for justifications
% 202.02/202.45 *** allocated 170857 integers for termspace/termends
% 202.02/202.45 *** allocated 256285 integers for clauses
% 202.02/202.45 *** allocated 256285 integers for justifications
% 202.02/202.45 *** allocated 256285 integers for termspace/termends
% 202.02/202.45 *** allocated 384427 integers for justifications
% 202.02/202.45 *** allocated 384427 integers for clauses
% 202.02/202.45 *** allocated 384427 integers for termspace/termends
% 202.02/202.45 *** allocated 576640 integers for justifications
% 202.02/202.45 eqswap: (1070) {G0,W3,D2,L1,V0,M1} { ! vd151 ==> vd165 }.
% 202.02/202.45 parent0[0]: (2) {G0,W3,D2,L1,V0,M1} I { ! vd165 ==> vd151 }.
% 202.02/202.45 substitution0:
% 202.02/202.45 end
% 202.02/202.45
% 202.02/202.45 paramod: (24792) {G1,W6,D2,L2,V1,M2} { ! vd151 ==> X, alpha1( vd165, X )
% 202.02/202.45 }.
% 202.02/202.45 parent0[0]: (22) {G2,W6,D2,L2,V2,M2} S(3);r(17) { X = Y, alpha1( X, Y ) }.
% 202.02/202.45 parent1[0; 3]: (1070) {G0,W3,D2,L1,V0,M1} { ! vd151 ==> vd165 }.
% 202.02/202.45 substitution0:
% 202.02/202.45 X := vd165
% 202.02/202.45 Y := X
% 202.02/202.45 end
% 202.02/202.45 substitution1:
% 202.02/202.45 end
% 202.02/202.45
% 202.02/202.45 eqswap: (24834) {G1,W6,D2,L2,V1,M2} { ! X ==> vd151, alpha1( vd165, X )
% 202.02/202.45 }.
% 202.02/202.45 parent0[0]: (24792) {G1,W6,D2,L2,V1,M2} { ! vd151 ==> X, alpha1( vd165, X
% 202.02/202.45 ) }.
% 202.02/202.45 substitution0:
% 202.02/202.45 X := X
% 202.02/202.45 end
% 202.02/202.45
% 202.02/202.45 subsumption: (43) {G3,W6,D2,L2,V1,M2} P(22,2) { ! X = vd151, alpha1( vd165
% 202.02/202.45 , X ) }.
% 202.02/202.45 parent0: (24834) {G1,W6,D2,L2,V1,M2} { ! X ==> vd151, alpha1( vd165, X )
% 202.02/202.45 }.
% 202.02/202.45 substitution0:
% 202.02/202.45 X := X
% 202.02/202.45 end
% 202.02/202.45 permutation0:
% 202.02/202.45 0 ==> 0
% 202.02/202.45 1 ==> 1
% 202.02/202.45 end
% 202.02/202.45
% 202.02/202.45 eqswap: (36651) {G3,W6,D2,L2,V1,M2} { ! vd151 = X, alpha1( vd165, X ) }.
% 202.02/202.45 parent0[0]: (43) {G3,W6,D2,L2,V1,M2} P(22,2) { ! X = vd151, alpha1( vd165,
% 202.02/202.45 X ) }.
% 202.02/202.45 substitution0:
% 202.02/202.45 X := X
% 202.02/202.45 end
% 202.02/202.45
% 202.02/202.45 eqrefl: (36652) {G0,W3,D2,L1,V0,M1} { alpha1( vd165, vd151 ) }.
% 202.02/202.45 parent0[0]: (36651) {G3,W6,D2,L2,V1,M2} { ! vd151 = X, alpha1( vd165, X )
% 202.02/202.45 }.
% 202.02/202.45 substitution0:
% 202.02/202.45 X := vd151
% 202.02/202.45 end
% 202.02/202.45
% 202.02/202.45 subsumption: (46) {G4,W3,D2,L1,V0,M1} Q(43) { alpha1( vd165, vd151 ) }.
% 202.02/202.45 parent0: (36652) {G0,W3,D2,L1,V0,M1} { alpha1( vd165, vd151 ) }.
% 202.02/202.45 substitution0:
% 202.02/202.45 end
% 202.02/202.45 permutation0:
% 202.02/202.45 0 ==> 0
% 202.02/202.45 end
% 202.02/202.45
% 202.02/202.45 eqswap: (36653) {G0,W17,D4,L3,V2,M3} { Y ==> vplus( X, skol1( Y, X ) ), !
% 202.02/202.45 alpha1( Y, X ), vplus( Y, skol2( Y, X ) ) ==> X }.
% 202.02/202.45 parent0[1]: (6) {G0,W17,D4,L3,V2,M3} I { ! alpha1( X, Y ), vplus( Y, skol1
% 202.02/202.45 ( X, Y ) ) ==> X, vplus( X, skol2( X, Y ) ) ==> Y }.
% 202.02/202.45 substitution0:
% 202.02/202.45 X := Y
% 202.02/202.45 Y := X
% 202.02/202.45 end
% 202.02/202.45
% 202.02/202.45 eqswap: (36656) {G0,W5,D3,L1,V1,M1} { ! vd165 ==> vplus( vd151, X ) }.
% 202.02/202.45 parent0[0]: (0) {G0,W5,D3,L1,V1,M1} I { ! vplus( vd151, X ) ==> vd165 }.
% 202.02/202.45 substitution0:
% 202.02/202.45 X := X
% 202.02/202.45 end
% 202.02/202.45
% 202.02/202.45 resolution: (36657) {G1,W14,D4,L2,V0,M2} { vd165 ==> vplus( vd151, skol1(
% 202.02/202.45 vd165, vd151 ) ), vplus( vd165, skol2( vd165, vd151 ) ) ==> vd151 }.
% 202.02/202.45 parent0[1]: (36653) {G0,W17,D4,L3,V2,M3} { Y ==> vplus( X, skol1( Y, X ) )
% 202.02/202.45 , ! alpha1( Y, X ), vplus( Y, skol2( Y, X ) ) ==> X }.
% 202.02/202.45 parent1[0]: (46) {G4,W3,D2,L1,V0,M1} Q(43) { alpha1( vd165, vd151 ) }.
% 202.02/202.45 substitution0:
% 202.02/202.45 X := vd151
% 202.02/202.45 Y := vd165
% 202.02/202.45 end
% 202.02/202.45 substitution1:
% 202.02/202.45 end
% 202.02/202.45
% 202.02/202.45 resolution: (36658) {G1,W7,D4,L1,V0,M1} { vplus( vd165, skol2( vd165,
% 202.02/202.45 vd151 ) ) ==> vd151 }.
% 202.02/202.45 parent0[0]: (36656) {G0,W5,D3,L1,V1,M1} { ! vd165 ==> vplus( vd151, X )
% 202.02/202.45 }.
% 202.02/202.45 parent1[0]: (36657) {G1,W14,D4,L2,V0,M2} { vd165 ==> vplus( vd151, skol1(
% 202.02/202.45 vd165, vd151 ) ), vplus( vd165, skol2( vd165, vd151 ) ) ==> vd151 }.
% 202.02/202.45 substitution0:
% 202.02/202.45 X := skol1( vd165, vd151 )
% 202.02/202.45 end
% 202.02/202.45 substitution1:
% 202.02/202.45 end
% 202.02/202.45
% 202.02/202.45 subsumption: (57) {G5,W7,D4,L1,V0,M1} R(6,46);r(0) { vplus( vd165, skol2(
% 202.02/202.45 vd165, vd151 ) ) ==> vd151 }.
% 202.02/202.45 parent0: (36658) {G1,W7,D4,L1,V0,M1} { vplus( vd165, skol2( vd165, vd151 )
% 202.02/202.45 ) ==> vd151 }.
% 202.02/202.45 substitution0:
% 202.02/202.45 end
% 202.02/202.45 permutation0:
% 202.02/202.45 0 ==> 0
% 202.02/202.45 end
% 202.02/202.45
% 202.02/202.45 resolution: (36662) {G1,W0,D0,L0,V0,M0} { }.
% 202.02/202.45 parent0[0]: (1) {G0,W5,D3,L1,V1,M1} I { ! vplus( vd165, X ) ==> vd151 }.
% 202.02/202.45 parent1[0]: (57) {G5,W7,D4,L1,V0,M1} R(6,46);r(0) { vplus( vd165, skol2(
% 202.02/202.45 vd165, vd151 ) ) ==> vd151 }.
% 202.02/202.45 substitution0:
% 202.02/202.45 X := skol2( vd165, vd151 )
% 202.02/202.45 end
% 202.02/202.45 substitution1:
% 202.02/202.45 end
% 202.02/202.45
% 202.02/202.45 subsumption: (800) {G6,W0,D0,L0,V0,M0} S(57);r(1) { }.
% 202.02/202.45 parent0: (36662) {G1,W0,D0,L0,V0,M0} { }.
% 202.02/202.45 substitution0:
% 202.02/202.45 end
% 202.02/202.45 permutation0:
% 202.02/202.45 end
% 202.02/202.45
% 202.02/202.45 Proof check complete!
% 202.02/202.45
% 202.02/202.45 Memory use:
% 202.02/202.45
% 202.02/202.45 space for terms: 9182
% 202.02/202.45 space for clauses: 41081
% 202.02/202.45
% 202.02/202.45
% 202.02/202.45 clauses generated: 1517
% 202.02/202.45 clauses kept: 801
% 202.02/202.45 clauses selected: 147
% 202.02/202.45 clauses deleted: 4
% 202.02/202.45 clauses inuse deleted: 0
% 202.02/202.45
% 202.02/202.45 subsentry: 316283656
% 202.02/202.45 literals s-matched: 129405503
% 202.02/202.45 literals matched: 102642527
% 202.02/202.45 full subsumption: 102594032
% 202.02/202.45
% 202.02/202.45 checksum: -1915025828
% 202.02/202.45
% 202.02/202.45
% 202.02/202.45 Bliksem ended
%------------------------------------------------------------------------------