TSTP Solution File: NUM848+2 by Bliksem---1.12
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- Process Solution
%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : NUM848+2 : TPTP v8.1.0. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n014.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 06:27:02 EDT 2022
% Result : Theorem 1.61s 2.03s
% Output : Refutation 1.61s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.11 % Problem : NUM848+2 : TPTP v8.1.0. Released v4.1.0.
% 0.11/0.12 % Command : bliksem %s
% 0.12/0.33 % Computer : n014.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % DateTime : Wed Jul 6 14:51:22 EDT 2022
% 0.12/0.33 % CPUTime :
% 1.61/2.03 *** allocated 10000 integers for termspace/termends
% 1.61/2.03 *** allocated 10000 integers for clauses
% 1.61/2.03 *** allocated 10000 integers for justifications
% 1.61/2.03 Bliksem 1.12
% 1.61/2.03
% 1.61/2.03
% 1.61/2.03 Automatic Strategy Selection
% 1.61/2.03
% 1.61/2.03
% 1.61/2.03 Clauses:
% 1.61/2.03
% 1.61/2.03 { ! vplus( vmul( vd436, vd437 ), vplus( vmul( vd436, vd439 ), vd436 ) ) =
% 1.61/2.03 vplus( vmul( vd436, vd437 ), vmul( vd436, vsucc( vd439 ) ) ) }.
% 1.61/2.03 { vplus( vplus( vmul( vd436, vd437 ), vmul( vd436, vd439 ) ), vd436 ) =
% 1.61/2.03 vplus( vmul( vd436, vd437 ), vplus( vmul( vd436, vd439 ), vd436 ) ) }.
% 1.61/2.03 { vplus( vmul( vd436, vplus( vd437, vd439 ) ), vd436 ) = vplus( vplus( vmul
% 1.61/2.03 ( vd436, vd437 ), vmul( vd436, vd439 ) ), vd436 ) }.
% 1.61/2.03 { vmul( vd436, vsucc( vplus( vd437, vd439 ) ) ) = vplus( vmul( vd436, vplus
% 1.61/2.03 ( vd437, vd439 ) ), vd436 ) }.
% 1.61/2.03 { vmul( vd436, vplus( vd437, vsucc( vd439 ) ) ) = vmul( vd436, vsucc( vplus
% 1.61/2.03 ( vd437, vd439 ) ) ) }.
% 1.61/2.03 { vmul( vd436, vplus( vd437, vd439 ) ) = vplus( vmul( vd436, vd437 ), vmul
% 1.61/2.03 ( vd436, vd439 ) ) }.
% 1.61/2.03 { vplus( vmul( vd436, vd437 ), vd436 ) = vplus( vmul( vd436, vd437 ), vmul
% 1.61/2.03 ( vd436, v1 ) ) }.
% 1.61/2.03 { vmul( vd436, vsucc( vd437 ) ) = vplus( vmul( vd436, vd437 ), vd436 ) }.
% 1.61/2.03 { vmul( X, vsucc( Y ) ) = vplus( vmul( X, Y ), X ) }.
% 1.61/2.03 { vmul( X, v1 ) = X }.
% 1.61/2.03 { ! less( X, vplus( Y, v1 ) ), leq( X, Y ) }.
% 1.61/2.03 { vplus( Y, X ) = vplus( X, Y ) }.
% 1.61/2.03 { vplus( vsucc( X ), Y ) = vsucc( vplus( X, Y ) ) }.
% 1.61/2.03 { vplus( v1, X ) = vsucc( X ) }.
% 1.61/2.03 { vplus( vplus( X, Y ), Z ) = vplus( X, vplus( Y, Z ) ) }.
% 1.61/2.03 { vplus( X, vsucc( Y ) ) = vsucc( vplus( X, Y ) ) }.
% 1.61/2.03 { vplus( X, v1 ) = vsucc( X ) }.
% 1.61/2.03 { X = v1, X = vsucc( vskolem2( X ) ) }.
% 1.61/2.03
% 1.61/2.03 percentage equality = 0.900000, percentage horn = 0.944444
% 1.61/2.03 This is a pure equality problem
% 1.61/2.03
% 1.61/2.03
% 1.61/2.03
% 1.61/2.03 Options Used:
% 1.61/2.03
% 1.61/2.03 useres = 1
% 1.61/2.03 useparamod = 1
% 1.61/2.03 useeqrefl = 1
% 1.61/2.03 useeqfact = 1
% 1.61/2.03 usefactor = 1
% 1.61/2.03 usesimpsplitting = 0
% 1.61/2.03 usesimpdemod = 5
% 1.61/2.03 usesimpres = 3
% 1.61/2.03
% 1.61/2.03 resimpinuse = 1000
% 1.61/2.03 resimpclauses = 20000
% 1.61/2.03 substype = eqrewr
% 1.61/2.03 backwardsubs = 1
% 1.61/2.03 selectoldest = 5
% 1.61/2.03
% 1.61/2.03 litorderings [0] = split
% 1.61/2.03 litorderings [1] = extend the termordering, first sorting on arguments
% 1.61/2.03
% 1.61/2.03 termordering = kbo
% 1.61/2.03
% 1.61/2.03 litapriori = 0
% 1.61/2.03 termapriori = 1
% 1.61/2.03 litaposteriori = 0
% 1.61/2.03 termaposteriori = 0
% 1.61/2.03 demodaposteriori = 0
% 1.61/2.03 ordereqreflfact = 0
% 1.61/2.03
% 1.61/2.03 litselect = negord
% 1.61/2.03
% 1.61/2.03 maxweight = 15
% 1.61/2.03 maxdepth = 30000
% 1.61/2.03 maxlength = 115
% 1.61/2.03 maxnrvars = 195
% 1.61/2.03 excuselevel = 1
% 1.61/2.03 increasemaxweight = 1
% 1.61/2.03
% 1.61/2.03 maxselected = 10000000
% 1.61/2.03 maxnrclauses = 10000000
% 1.61/2.03
% 1.61/2.03 showgenerated = 0
% 1.61/2.03 showkept = 0
% 1.61/2.03 showselected = 0
% 1.61/2.03 showdeleted = 0
% 1.61/2.03 showresimp = 1
% 1.61/2.03 showstatus = 2000
% 1.61/2.03
% 1.61/2.03 prologoutput = 0
% 1.61/2.03 nrgoals = 5000000
% 1.61/2.03 totalproof = 1
% 1.61/2.03
% 1.61/2.03 Symbols occurring in the translation:
% 1.61/2.03
% 1.61/2.03 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 1.61/2.03 . [1, 2] (w:1, o:32, a:1, s:1, b:0),
% 1.61/2.03 ! [4, 1] (w:0, o:25, a:1, s:1, b:0),
% 1.61/2.03 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 1.61/2.03 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 1.61/2.03 vd436 [35, 0] (w:1, o:6, a:1, s:1, b:0),
% 1.61/2.03 vd437 [36, 0] (w:1, o:7, a:1, s:1, b:0),
% 1.61/2.03 vmul [37, 2] (w:1, o:56, a:1, s:1, b:0),
% 1.61/2.03 vd439 [38, 0] (w:1, o:8, a:1, s:1, b:0),
% 1.61/2.03 vplus [39, 2] (w:1, o:57, a:1, s:1, b:0),
% 1.61/2.03 vsucc [40, 1] (w:1, o:30, a:1, s:1, b:0),
% 1.61/2.03 v1 [41, 0] (w:1, o:9, a:1, s:1, b:0),
% 1.61/2.03 less [46, 2] (w:1, o:58, a:1, s:1, b:0),
% 1.61/2.03 leq [47, 2] (w:1, o:59, a:1, s:1, b:0),
% 1.61/2.03 vskolem2 [59, 1] (w:1, o:31, a:1, s:1, b:0).
% 1.61/2.03
% 1.61/2.03
% 1.61/2.03 Starting Search:
% 1.61/2.03
% 1.61/2.03 *** allocated 15000 integers for clauses
% 1.61/2.03 *** allocated 22500 integers for clauses
% 1.61/2.03 *** allocated 33750 integers for clauses
% 1.61/2.03 *** allocated 50625 integers for clauses
% 1.61/2.03 *** allocated 15000 integers for termspace/termends
% 1.61/2.03 *** allocated 75937 integers for clauses
% 1.61/2.03 Resimplifying inuse:
% 1.61/2.03 Done
% 1.61/2.03
% 1.61/2.03 *** allocated 22500 integers for termspace/termends
% 1.61/2.03 *** allocated 113905 integers for clauses
% 1.61/2.03 *** allocated 33750 integers for termspace/termends
% 1.61/2.03 *** allocated 170857 integers for clauses
% 1.61/2.03
% 1.61/2.03 Intermediate Status:
% 1.61/2.03 Generated: 69814
% 1.61/2.03 Kept: 2003
% 1.61/2.03 Inuse: 291
% 1.61/2.03 Deleted: 53
% 1.61/2.03 Deletedinuse: 5
% 1.61/2.03
% 1.61/2.03 Resimplifying inuse:
% 1.61/2.03
% 1.61/2.03 Bliksems!, er is een bewijs:
% 1.61/2.03 % SZS status Theorem
% 1.61/2.03 % SZS output start Refutation
% 1.61/2.03
% 1.61/2.03 (0) {G0,W18,D5,L1,V0,M1} I { ! vplus( vmul( vd436, vd437 ), vplus( vmul(
% 1.61/2.03 vd436, vd439 ), vd436 ) ) ==> vplus( vmul( vd436, vd437 ), vmul( vd436,
% 1.61/2.03 vsucc( vd439 ) ) ) }.
% 1.61/2.03 (1) {G0,W19,D5,L1,V0,M1} I { vplus( vmul( vd436, vd437 ), vplus( vmul(
% 1.61/2.03 vd436, vd439 ), vd436 ) ) ==> vplus( vplus( vmul( vd436, vd437 ), vmul(
% 1.61/2.03 vd436, vd439 ) ), vd436 ) }.
% 1.61/2.03 (2) {G0,W17,D5,L1,V0,M1} I { vplus( vplus( vmul( vd436, vd437 ), vmul(
% 1.61/2.03 vd436, vd439 ) ), vd436 ) ==> vplus( vmul( vd436, vplus( vd437, vd439 ) )
% 1.61/2.03 , vd436 ) }.
% 1.61/2.03 (3) {G0,W14,D5,L1,V0,M1} I { vplus( vmul( vd436, vplus( vd437, vd439 ) ),
% 1.61/2.03 vd436 ) ==> vmul( vd436, vsucc( vplus( vd437, vd439 ) ) ) }.
% 1.61/2.03 (5) {G0,W13,D4,L1,V0,M1} I { vplus( vmul( vd436, vd437 ), vmul( vd436,
% 1.61/2.03 vd439 ) ) ==> vmul( vd436, vplus( vd437, vd439 ) ) }.
% 1.61/2.03 (8) {G0,W10,D4,L1,V2,M1} I { vplus( vmul( X, Y ), X ) ==> vmul( X, vsucc( Y
% 1.61/2.03 ) ) }.
% 1.61/2.03 (14) {G0,W11,D4,L1,V3,M1} I { vplus( X, vplus( Y, Z ) ) ==> vplus( vplus( X
% 1.61/2.03 , Y ), Z ) }.
% 1.61/2.03 (19) {G1,W15,D5,L1,V0,M1} S(0);d(1);d(2);d(3) { ! vplus( vmul( vd436, vd437
% 1.61/2.03 ), vmul( vd436, vsucc( vd439 ) ) ) ==> vmul( vd436, vsucc( vplus( vd437
% 1.61/2.03 , vd439 ) ) ) }.
% 1.61/2.03 (71) {G1,W14,D5,L1,V3,M1} P(8,14) { vplus( vplus( Z, vmul( X, Y ) ), X )
% 1.61/2.03 ==> vplus( Z, vmul( X, vsucc( Y ) ) ) }.
% 1.61/2.03 (1433) {G2,W15,D5,L1,V0,M1} P(5,71);d(8) { vplus( vmul( vd436, vd437 ),
% 1.61/2.03 vmul( vd436, vsucc( vd439 ) ) ) ==> vmul( vd436, vsucc( vplus( vd437,
% 1.61/2.03 vd439 ) ) ) }.
% 1.61/2.03 (2010) {G3,W0,D0,L0,V0,M0} S(19);d(1433);q { }.
% 1.61/2.03
% 1.61/2.03
% 1.61/2.03 % SZS output end Refutation
% 1.61/2.03 found a proof!
% 1.61/2.03
% 1.61/2.03
% 1.61/2.03 Unprocessed initial clauses:
% 1.61/2.03
% 1.61/2.03 (2012) {G0,W18,D5,L1,V0,M1} { ! vplus( vmul( vd436, vd437 ), vplus( vmul(
% 1.61/2.03 vd436, vd439 ), vd436 ) ) = vplus( vmul( vd436, vd437 ), vmul( vd436,
% 1.61/2.03 vsucc( vd439 ) ) ) }.
% 1.61/2.03 (2013) {G0,W19,D5,L1,V0,M1} { vplus( vplus( vmul( vd436, vd437 ), vmul(
% 1.61/2.03 vd436, vd439 ) ), vd436 ) = vplus( vmul( vd436, vd437 ), vplus( vmul(
% 1.61/2.03 vd436, vd439 ), vd436 ) ) }.
% 1.61/2.03 (2014) {G0,W17,D5,L1,V0,M1} { vplus( vmul( vd436, vplus( vd437, vd439 ) )
% 1.61/2.03 , vd436 ) = vplus( vplus( vmul( vd436, vd437 ), vmul( vd436, vd439 ) ),
% 1.61/2.03 vd436 ) }.
% 1.61/2.03 (2015) {G0,W14,D5,L1,V0,M1} { vmul( vd436, vsucc( vplus( vd437, vd439 ) )
% 1.61/2.03 ) = vplus( vmul( vd436, vplus( vd437, vd439 ) ), vd436 ) }.
% 1.61/2.03 (2016) {G0,W13,D5,L1,V0,M1} { vmul( vd436, vplus( vd437, vsucc( vd439 ) )
% 1.61/2.03 ) = vmul( vd436, vsucc( vplus( vd437, vd439 ) ) ) }.
% 1.61/2.03 (2017) {G0,W13,D4,L1,V0,M1} { vmul( vd436, vplus( vd437, vd439 ) ) = vplus
% 1.61/2.03 ( vmul( vd436, vd437 ), vmul( vd436, vd439 ) ) }.
% 1.61/2.03 (2018) {G0,W13,D4,L1,V0,M1} { vplus( vmul( vd436, vd437 ), vd436 ) = vplus
% 1.61/2.03 ( vmul( vd436, vd437 ), vmul( vd436, v1 ) ) }.
% 1.61/2.03 (2019) {G0,W10,D4,L1,V0,M1} { vmul( vd436, vsucc( vd437 ) ) = vplus( vmul
% 1.61/2.03 ( vd436, vd437 ), vd436 ) }.
% 1.61/2.03 (2020) {G0,W10,D4,L1,V2,M1} { vmul( X, vsucc( Y ) ) = vplus( vmul( X, Y )
% 1.61/2.03 , X ) }.
% 1.61/2.03 (2021) {G0,W5,D3,L1,V1,M1} { vmul( X, v1 ) = X }.
% 1.61/2.03 (2022) {G0,W8,D3,L2,V2,M2} { ! less( X, vplus( Y, v1 ) ), leq( X, Y ) }.
% 1.61/2.03 (2023) {G0,W7,D3,L1,V2,M1} { vplus( Y, X ) = vplus( X, Y ) }.
% 1.61/2.03 (2024) {G0,W9,D4,L1,V2,M1} { vplus( vsucc( X ), Y ) = vsucc( vplus( X, Y )
% 1.61/2.03 ) }.
% 1.61/2.03 (2025) {G0,W6,D3,L1,V1,M1} { vplus( v1, X ) = vsucc( X ) }.
% 1.61/2.03 (2026) {G0,W11,D4,L1,V3,M1} { vplus( vplus( X, Y ), Z ) = vplus( X, vplus
% 1.61/2.03 ( Y, Z ) ) }.
% 1.61/2.03 (2027) {G0,W9,D4,L1,V2,M1} { vplus( X, vsucc( Y ) ) = vsucc( vplus( X, Y )
% 1.61/2.03 ) }.
% 1.61/2.03 (2028) {G0,W6,D3,L1,V1,M1} { vplus( X, v1 ) = vsucc( X ) }.
% 1.61/2.03 (2029) {G0,W8,D4,L2,V1,M2} { X = v1, X = vsucc( vskolem2( X ) ) }.
% 1.61/2.03
% 1.61/2.03
% 1.61/2.03 Total Proof:
% 1.61/2.03
% 1.61/2.03 subsumption: (0) {G0,W18,D5,L1,V0,M1} I { ! vplus( vmul( vd436, vd437 ),
% 1.61/2.03 vplus( vmul( vd436, vd439 ), vd436 ) ) ==> vplus( vmul( vd436, vd437 ),
% 1.61/2.03 vmul( vd436, vsucc( vd439 ) ) ) }.
% 1.61/2.03 parent0: (2012) {G0,W18,D5,L1,V0,M1} { ! vplus( vmul( vd436, vd437 ),
% 1.61/2.03 vplus( vmul( vd436, vd439 ), vd436 ) ) = vplus( vmul( vd436, vd437 ),
% 1.61/2.03 vmul( vd436, vsucc( vd439 ) ) ) }.
% 1.61/2.03 substitution0:
% 1.61/2.03 end
% 1.61/2.03 permutation0:
% 1.61/2.03 0 ==> 0
% 1.61/2.03 end
% 1.61/2.03
% 1.61/2.03 eqswap: (2032) {G0,W19,D5,L1,V0,M1} { vplus( vmul( vd436, vd437 ), vplus(
% 1.61/2.03 vmul( vd436, vd439 ), vd436 ) ) = vplus( vplus( vmul( vd436, vd437 ),
% 1.61/2.03 vmul( vd436, vd439 ) ), vd436 ) }.
% 1.61/2.03 parent0[0]: (2013) {G0,W19,D5,L1,V0,M1} { vplus( vplus( vmul( vd436, vd437
% 1.61/2.03 ), vmul( vd436, vd439 ) ), vd436 ) = vplus( vmul( vd436, vd437 ), vplus
% 1.61/2.03 ( vmul( vd436, vd439 ), vd436 ) ) }.
% 1.61/2.03 substitution0:
% 1.61/2.03 end
% 1.61/2.03
% 1.61/2.03 subsumption: (1) {G0,W19,D5,L1,V0,M1} I { vplus( vmul( vd436, vd437 ),
% 1.61/2.03 vplus( vmul( vd436, vd439 ), vd436 ) ) ==> vplus( vplus( vmul( vd436,
% 1.61/2.03 vd437 ), vmul( vd436, vd439 ) ), vd436 ) }.
% 1.61/2.03 parent0: (2032) {G0,W19,D5,L1,V0,M1} { vplus( vmul( vd436, vd437 ), vplus
% 1.61/2.03 ( vmul( vd436, vd439 ), vd436 ) ) = vplus( vplus( vmul( vd436, vd437 ),
% 1.61/2.03 vmul( vd436, vd439 ) ), vd436 ) }.
% 1.61/2.03 substitution0:
% 1.61/2.03 end
% 1.61/2.03 permutation0:
% 1.61/2.03 0 ==> 0
% 1.61/2.03 end
% 1.61/2.03
% 1.61/2.03 eqswap: (2035) {G0,W17,D5,L1,V0,M1} { vplus( vplus( vmul( vd436, vd437 ),
% 1.61/2.03 vmul( vd436, vd439 ) ), vd436 ) = vplus( vmul( vd436, vplus( vd437, vd439
% 1.61/2.03 ) ), vd436 ) }.
% 1.61/2.03 parent0[0]: (2014) {G0,W17,D5,L1,V0,M1} { vplus( vmul( vd436, vplus( vd437
% 1.61/2.03 , vd439 ) ), vd436 ) = vplus( vplus( vmul( vd436, vd437 ), vmul( vd436,
% 1.61/2.03 vd439 ) ), vd436 ) }.
% 1.61/2.03 substitution0:
% 1.61/2.03 end
% 1.61/2.03
% 1.61/2.03 subsumption: (2) {G0,W17,D5,L1,V0,M1} I { vplus( vplus( vmul( vd436, vd437
% 1.61/2.03 ), vmul( vd436, vd439 ) ), vd436 ) ==> vplus( vmul( vd436, vplus( vd437
% 1.61/2.03 , vd439 ) ), vd436 ) }.
% 1.61/2.03 parent0: (2035) {G0,W17,D5,L1,V0,M1} { vplus( vplus( vmul( vd436, vd437 )
% 1.61/2.03 , vmul( vd436, vd439 ) ), vd436 ) = vplus( vmul( vd436, vplus( vd437,
% 1.61/2.03 vd439 ) ), vd436 ) }.
% 1.61/2.03 substitution0:
% 1.61/2.03 end
% 1.61/2.03 permutation0:
% 1.61/2.03 0 ==> 0
% 1.61/2.03 end
% 1.61/2.03
% 1.61/2.03 eqswap: (2039) {G0,W14,D5,L1,V0,M1} { vplus( vmul( vd436, vplus( vd437,
% 1.61/2.03 vd439 ) ), vd436 ) = vmul( vd436, vsucc( vplus( vd437, vd439 ) ) ) }.
% 1.61/2.03 parent0[0]: (2015) {G0,W14,D5,L1,V0,M1} { vmul( vd436, vsucc( vplus( vd437
% 1.61/2.03 , vd439 ) ) ) = vplus( vmul( vd436, vplus( vd437, vd439 ) ), vd436 ) }.
% 1.61/2.03 substitution0:
% 1.61/2.03 end
% 1.61/2.03
% 1.61/2.03 subsumption: (3) {G0,W14,D5,L1,V0,M1} I { vplus( vmul( vd436, vplus( vd437
% 1.61/2.03 , vd439 ) ), vd436 ) ==> vmul( vd436, vsucc( vplus( vd437, vd439 ) ) )
% 1.61/2.03 }.
% 1.61/2.03 parent0: (2039) {G0,W14,D5,L1,V0,M1} { vplus( vmul( vd436, vplus( vd437,
% 1.61/2.03 vd439 ) ), vd436 ) = vmul( vd436, vsucc( vplus( vd437, vd439 ) ) ) }.
% 1.61/2.03 substitution0:
% 1.61/2.03 end
% 1.61/2.03 permutation0:
% 1.61/2.03 0 ==> 0
% 1.61/2.03 end
% 1.61/2.03
% 1.61/2.03 eqswap: (2045) {G0,W13,D4,L1,V0,M1} { vplus( vmul( vd436, vd437 ), vmul(
% 1.61/2.03 vd436, vd439 ) ) = vmul( vd436, vplus( vd437, vd439 ) ) }.
% 1.61/2.03 parent0[0]: (2017) {G0,W13,D4,L1,V0,M1} { vmul( vd436, vplus( vd437, vd439
% 1.61/2.03 ) ) = vplus( vmul( vd436, vd437 ), vmul( vd436, vd439 ) ) }.
% 1.61/2.03 substitution0:
% 1.61/2.03 end
% 1.61/2.03
% 1.61/2.03 subsumption: (5) {G0,W13,D4,L1,V0,M1} I { vplus( vmul( vd436, vd437 ), vmul
% 1.61/2.03 ( vd436, vd439 ) ) ==> vmul( vd436, vplus( vd437, vd439 ) ) }.
% 1.61/2.03 parent0: (2045) {G0,W13,D4,L1,V0,M1} { vplus( vmul( vd436, vd437 ), vmul(
% 1.61/2.03 vd436, vd439 ) ) = vmul( vd436, vplus( vd437, vd439 ) ) }.
% 1.61/2.03 substitution0:
% 1.61/2.03 end
% 1.61/2.03 permutation0:
% 1.61/2.03 0 ==> 0
% 1.61/2.03 end
% 1.61/2.03
% 1.61/2.03 eqswap: (2054) {G0,W10,D4,L1,V2,M1} { vplus( vmul( X, Y ), X ) = vmul( X,
% 1.61/2.03 vsucc( Y ) ) }.
% 1.61/2.03 parent0[0]: (2020) {G0,W10,D4,L1,V2,M1} { vmul( X, vsucc( Y ) ) = vplus(
% 1.61/2.03 vmul( X, Y ), X ) }.
% 1.61/2.03 substitution0:
% 1.61/2.03 X := X
% 1.61/2.03 Y := Y
% 1.61/2.03 end
% 1.61/2.03
% 1.61/2.03 subsumption: (8) {G0,W10,D4,L1,V2,M1} I { vplus( vmul( X, Y ), X ) ==> vmul
% 1.61/2.03 ( X, vsucc( Y ) ) }.
% 1.61/2.03 parent0: (2054) {G0,W10,D4,L1,V2,M1} { vplus( vmul( X, Y ), X ) = vmul( X
% 1.61/2.03 , vsucc( Y ) ) }.
% 1.61/2.03 substitution0:
% 1.61/2.03 X := X
% 1.61/2.03 Y := Y
% 1.61/2.03 end
% 1.61/2.03 permutation0:
% 1.61/2.03 0 ==> 0
% 1.61/2.03 end
% 1.61/2.03
% 1.61/2.03 eqswap: (2067) {G0,W11,D4,L1,V3,M1} { vplus( X, vplus( Y, Z ) ) = vplus(
% 1.61/2.03 vplus( X, Y ), Z ) }.
% 1.61/2.03 parent0[0]: (2026) {G0,W11,D4,L1,V3,M1} { vplus( vplus( X, Y ), Z ) =
% 1.61/2.03 vplus( X, vplus( Y, Z ) ) }.
% 1.61/2.03 substitution0:
% 1.61/2.03 X := X
% 1.61/2.03 Y := Y
% 1.61/2.03 Z := Z
% 1.61/2.03 end
% 1.61/2.03
% 1.61/2.03 subsumption: (14) {G0,W11,D4,L1,V3,M1} I { vplus( X, vplus( Y, Z ) ) ==>
% 1.61/2.03 vplus( vplus( X, Y ), Z ) }.
% 1.61/2.03 parent0: (2067) {G0,W11,D4,L1,V3,M1} { vplus( X, vplus( Y, Z ) ) = vplus(
% 1.61/2.03 vplus( X, Y ), Z ) }.
% 1.61/2.03 substitution0:
% 1.61/2.03 X := X
% 1.61/2.03 Y := Y
% 1.61/2.03 Z := Z
% 1.61/2.03 end
% 1.61/2.03 permutation0:
% 1.61/2.03 0 ==> 0
% 1.61/2.03 end
% 1.61/2.03
% 1.61/2.03 paramod: (2072) {G1,W18,D5,L1,V0,M1} { ! vplus( vplus( vmul( vd436, vd437
% 1.61/2.03 ), vmul( vd436, vd439 ) ), vd436 ) ==> vplus( vmul( vd436, vd437 ), vmul
% 1.61/2.03 ( vd436, vsucc( vd439 ) ) ) }.
% 1.61/2.03 parent0[0]: (1) {G0,W19,D5,L1,V0,M1} I { vplus( vmul( vd436, vd437 ), vplus
% 1.61/2.03 ( vmul( vd436, vd439 ), vd436 ) ) ==> vplus( vplus( vmul( vd436, vd437 )
% 1.61/2.03 , vmul( vd436, vd439 ) ), vd436 ) }.
% 1.61/2.03 parent1[0; 2]: (0) {G0,W18,D5,L1,V0,M1} I { ! vplus( vmul( vd436, vd437 ),
% 1.61/2.03 vplus( vmul( vd436, vd439 ), vd436 ) ) ==> vplus( vmul( vd436, vd437 ),
% 1.61/2.03 vmul( vd436, vsucc( vd439 ) ) ) }.
% 1.61/2.03 substitution0:
% 1.61/2.03 end
% 1.61/2.03 substitution1:
% 1.61/2.03 end
% 1.61/2.03
% 1.61/2.03 paramod: (2073) {G1,W16,D5,L1,V0,M1} { ! vplus( vmul( vd436, vplus( vd437
% 1.61/2.03 , vd439 ) ), vd436 ) ==> vplus( vmul( vd436, vd437 ), vmul( vd436, vsucc
% 1.61/2.03 ( vd439 ) ) ) }.
% 1.61/2.03 parent0[0]: (2) {G0,W17,D5,L1,V0,M1} I { vplus( vplus( vmul( vd436, vd437 )
% 1.61/2.03 , vmul( vd436, vd439 ) ), vd436 ) ==> vplus( vmul( vd436, vplus( vd437,
% 1.61/2.03 vd439 ) ), vd436 ) }.
% 1.61/2.03 parent1[0; 2]: (2072) {G1,W18,D5,L1,V0,M1} { ! vplus( vplus( vmul( vd436,
% 1.61/2.03 vd437 ), vmul( vd436, vd439 ) ), vd436 ) ==> vplus( vmul( vd436, vd437 )
% 1.61/2.03 , vmul( vd436, vsucc( vd439 ) ) ) }.
% 1.61/2.03 substitution0:
% 1.61/2.03 end
% 1.61/2.03 substitution1:
% 1.61/2.03 end
% 1.61/2.03
% 1.61/2.03 paramod: (2074) {G1,W15,D5,L1,V0,M1} { ! vmul( vd436, vsucc( vplus( vd437
% 1.61/2.03 , vd439 ) ) ) ==> vplus( vmul( vd436, vd437 ), vmul( vd436, vsucc( vd439
% 1.61/2.03 ) ) ) }.
% 1.61/2.03 parent0[0]: (3) {G0,W14,D5,L1,V0,M1} I { vplus( vmul( vd436, vplus( vd437,
% 1.61/2.03 vd439 ) ), vd436 ) ==> vmul( vd436, vsucc( vplus( vd437, vd439 ) ) ) }.
% 1.61/2.03 parent1[0; 2]: (2073) {G1,W16,D5,L1,V0,M1} { ! vplus( vmul( vd436, vplus(
% 1.61/2.03 vd437, vd439 ) ), vd436 ) ==> vplus( vmul( vd436, vd437 ), vmul( vd436,
% 1.61/2.03 vsucc( vd439 ) ) ) }.
% 1.61/2.03 substitution0:
% 1.61/2.03 end
% 1.61/2.03 substitution1:
% 1.61/2.03 end
% 1.61/2.03
% 1.61/2.03 eqswap: (2075) {G1,W15,D5,L1,V0,M1} { ! vplus( vmul( vd436, vd437 ), vmul
% 1.61/2.03 ( vd436, vsucc( vd439 ) ) ) ==> vmul( vd436, vsucc( vplus( vd437, vd439 )
% 1.61/2.03 ) ) }.
% 1.61/2.03 parent0[0]: (2074) {G1,W15,D5,L1,V0,M1} { ! vmul( vd436, vsucc( vplus(
% 1.61/2.03 vd437, vd439 ) ) ) ==> vplus( vmul( vd436, vd437 ), vmul( vd436, vsucc(
% 1.61/2.03 vd439 ) ) ) }.
% 1.61/2.03 substitution0:
% 1.61/2.03 end
% 1.61/2.03
% 1.61/2.03 subsumption: (19) {G1,W15,D5,L1,V0,M1} S(0);d(1);d(2);d(3) { ! vplus( vmul
% 1.61/2.03 ( vd436, vd437 ), vmul( vd436, vsucc( vd439 ) ) ) ==> vmul( vd436, vsucc
% 1.61/2.03 ( vplus( vd437, vd439 ) ) ) }.
% 1.61/2.03 parent0: (2075) {G1,W15,D5,L1,V0,M1} { ! vplus( vmul( vd436, vd437 ), vmul
% 1.61/2.03 ( vd436, vsucc( vd439 ) ) ) ==> vmul( vd436, vsucc( vplus( vd437, vd439 )
% 1.61/2.03 ) ) }.
% 1.61/2.03 substitution0:
% 1.61/2.03 end
% 1.61/2.03 permutation0:
% 1.61/2.03 0 ==> 0
% 1.61/2.03 end
% 1.61/2.03
% 1.61/2.03 eqswap: (2077) {G0,W11,D4,L1,V3,M1} { vplus( vplus( X, Y ), Z ) ==> vplus
% 1.61/2.03 ( X, vplus( Y, Z ) ) }.
% 1.61/2.03 parent0[0]: (14) {G0,W11,D4,L1,V3,M1} I { vplus( X, vplus( Y, Z ) ) ==>
% 1.61/2.03 vplus( vplus( X, Y ), Z ) }.
% 1.61/2.03 substitution0:
% 1.61/2.03 X := X
% 1.61/2.03 Y := Y
% 1.61/2.03 Z := Z
% 1.61/2.03 end
% 1.61/2.03
% 1.61/2.03 paramod: (2082) {G1,W14,D5,L1,V3,M1} { vplus( vplus( X, vmul( Y, Z ) ), Y
% 1.61/2.03 ) ==> vplus( X, vmul( Y, vsucc( Z ) ) ) }.
% 1.61/2.03 parent0[0]: (8) {G0,W10,D4,L1,V2,M1} I { vplus( vmul( X, Y ), X ) ==> vmul
% 1.61/2.03 ( X, vsucc( Y ) ) }.
% 1.61/2.03 parent1[0; 10]: (2077) {G0,W11,D4,L1,V3,M1} { vplus( vplus( X, Y ), Z )
% 1.61/2.03 ==> vplus( X, vplus( Y, Z ) ) }.
% 1.61/2.03 substitution0:
% 1.61/2.03 X := Y
% 1.61/2.03 Y := Z
% 1.61/2.03 end
% 1.61/2.03 substitution1:
% 1.61/2.03 X := X
% 1.61/2.03 Y := vmul( Y, Z )
% 1.61/2.03 Z := Y
% 1.61/2.03 end
% 1.61/2.03
% 1.61/2.03 subsumption: (71) {G1,W14,D5,L1,V3,M1} P(8,14) { vplus( vplus( Z, vmul( X,
% 1.61/2.03 Y ) ), X ) ==> vplus( Z, vmul( X, vsucc( Y ) ) ) }.
% 1.61/2.03 parent0: (2082) {G1,W14,D5,L1,V3,M1} { vplus( vplus( X, vmul( Y, Z ) ), Y
% 1.61/2.03 ) ==> vplus( X, vmul( Y, vsucc( Z ) ) ) }.
% 1.61/2.03 substitution0:
% 1.61/2.03 X := Z
% 1.61/2.03 Y := X
% 1.61/2.03 Z := Y
% 1.61/2.03 end
% 1.61/2.03 permutation0:
% 1.61/2.03 0 ==> 0
% 1.61/2.03 end
% 1.61/2.03
% 1.61/2.03 eqswap: (2087) {G1,W14,D5,L1,V3,M1} { vplus( X, vmul( Y, vsucc( Z ) ) )
% 1.61/2.03 ==> vplus( vplus( X, vmul( Y, Z ) ), Y ) }.
% 1.61/2.03 parent0[0]: (71) {G1,W14,D5,L1,V3,M1} P(8,14) { vplus( vplus( Z, vmul( X, Y
% 1.61/2.03 ) ), X ) ==> vplus( Z, vmul( X, vsucc( Y ) ) ) }.
% 1.61/2.03 substitution0:
% 1.61/2.03 X := Y
% 1.61/2.03 Y := Z
% 1.61/2.03 Z := X
% 1.61/2.03 end
% 1.61/2.03
% 1.61/2.03 paramod: (2089) {G1,W16,D5,L1,V0,M1} { vplus( vmul( vd436, vd437 ), vmul(
% 1.61/2.03 vd436, vsucc( vd439 ) ) ) ==> vplus( vmul( vd436, vplus( vd437, vd439 ) )
% 1.61/2.03 , vd436 ) }.
% 1.61/2.03 parent0[0]: (5) {G0,W13,D4,L1,V0,M1} I { vplus( vmul( vd436, vd437 ), vmul
% 1.61/2.03 ( vd436, vd439 ) ) ==> vmul( vd436, vplus( vd437, vd439 ) ) }.
% 1.61/2.03 parent1[0; 10]: (2087) {G1,W14,D5,L1,V3,M1} { vplus( X, vmul( Y, vsucc( Z
% 1.61/2.03 ) ) ) ==> vplus( vplus( X, vmul( Y, Z ) ), Y ) }.
% 1.61/2.03 substitution0:
% 1.61/2.03 end
% 1.61/2.03 substitution1:
% 1.61/2.03 X := vmul( vd436, vd437 )
% 1.61/2.03 Y := vd436
% 1.61/2.03 Z := vd439
% 1.61/2.03 end
% 1.61/2.03
% 1.61/2.03 paramod: (2090) {G1,W15,D5,L1,V0,M1} { vplus( vmul( vd436, vd437 ), vmul(
% 1.61/2.03 vd436, vsucc( vd439 ) ) ) ==> vmul( vd436, vsucc( vplus( vd437, vd439 ) )
% 1.61/2.03 ) }.
% 1.61/2.03 parent0[0]: (8) {G0,W10,D4,L1,V2,M1} I { vplus( vmul( X, Y ), X ) ==> vmul
% 1.61/2.03 ( X, vsucc( Y ) ) }.
% 1.61/2.03 parent1[0; 9]: (2089) {G1,W16,D5,L1,V0,M1} { vplus( vmul( vd436, vd437 ),
% 1.61/2.03 vmul( vd436, vsucc( vd439 ) ) ) ==> vplus( vmul( vd436, vplus( vd437,
% 1.61/2.03 vd439 ) ), vd436 ) }.
% 1.61/2.03 substitution0:
% 1.61/2.03 X := vd436
% 1.61/2.03 Y := vplus( vd437, vd439 )
% 1.61/2.03 end
% 1.61/2.03 substitution1:
% 1.61/2.03 end
% 1.61/2.03
% 1.61/2.03 subsumption: (1433) {G2,W15,D5,L1,V0,M1} P(5,71);d(8) { vplus( vmul( vd436
% 1.61/2.03 , vd437 ), vmul( vd436, vsucc( vd439 ) ) ) ==> vmul( vd436, vsucc( vplus
% 1.61/2.03 ( vd437, vd439 ) ) ) }.
% 1.61/2.03 parent0: (2090) {G1,W15,D5,L1,V0,M1} { vplus( vmul( vd436, vd437 ), vmul(
% 1.61/2.03 vd436, vsucc( vd439 ) ) ) ==> vmul( vd436, vsucc( vplus( vd437, vd439 ) )
% 1.61/2.03 ) }.
% 1.61/2.03 substitution0:
% 1.61/2.03 end
% 1.61/2.03 permutation0:
% 1.61/2.03 0 ==> 0
% 1.61/2.03 end
% 1.61/2.03
% 1.61/2.03 paramod: (2094) {G2,W13,D5,L1,V0,M1} { ! vmul( vd436, vsucc( vplus( vd437
% 1.61/2.03 , vd439 ) ) ) ==> vmul( vd436, vsucc( vplus( vd437, vd439 ) ) ) }.
% 1.61/2.03 parent0[0]: (1433) {G2,W15,D5,L1,V0,M1} P(5,71);d(8) { vplus( vmul( vd436,
% 1.61/2.03 vd437 ), vmul( vd436, vsucc( vd439 ) ) ) ==> vmul( vd436, vsucc( vplus(
% 1.61/2.03 vd437, vd439 ) ) ) }.
% 1.61/2.03 parent1[0; 2]: (19) {G1,W15,D5,L1,V0,M1} S(0);d(1);d(2);d(3) { ! vplus(
% 1.61/2.03 vmul( vd436, vd437 ), vmul( vd436, vsucc( vd439 ) ) ) ==> vmul( vd436,
% 1.61/2.03 vsucc( vplus( vd437, vd439 ) ) ) }.
% 1.61/2.03 substitution0:
% 1.61/2.03 end
% 1.61/2.03 substitution1:
% 1.61/2.03 end
% 1.61/2.03
% 1.61/2.03 eqrefl: (2095) {G0,W0,D0,L0,V0,M0} { }.
% 1.61/2.03 parent0[0]: (2094) {G2,W13,D5,L1,V0,M1} { ! vmul( vd436, vsucc( vplus(
% 1.61/2.03 vd437, vd439 ) ) ) ==> vmul( vd436, vsucc( vplus( vd437, vd439 ) ) ) }.
% 1.61/2.03 substitution0:
% 1.61/2.03 end
% 1.61/2.03
% 1.61/2.03 subsumption: (2010) {G3,W0,D0,L0,V0,M0} S(19);d(1433);q { }.
% 1.61/2.03 parent0: (2095) {G0,W0,D0,L0,V0,M0} { }.
% 1.61/2.03 substitution0:
% 1.61/2.03 end
% 1.61/2.03 permutation0:
% 1.61/2.03 end
% 1.61/2.03
% 1.61/2.03 Proof check complete!
% 1.61/2.03
% 1.61/2.03 Memory use:
% 1.61/2.03
% 1.61/2.03 space for terms: 29094
% 1.61/2.03 space for clauses: 133514
% 1.61/2.03
% 1.61/2.03
% 1.61/2.03 clauses generated: 72893
% 1.61/2.03 clauses kept: 2011
% 1.61/2.03 clauses selected: 298
% 1.61/2.03 clauses deleted: 87
% 1.61/2.03 clauses inuse deleted: 35
% 1.61/2.03
% 1.61/2.03 subsentry: 11158
% 1.61/2.03 literals s-matched: 8599
% 1.61/2.03 literals matched: 8066
% 1.61/2.03 full subsumption: 569
% 1.61/2.03
% 1.61/2.03 checksum: 280561507
% 1.61/2.03
% 1.61/2.03
% 1.61/2.03 Bliksem ended
%------------------------------------------------------------------------------