TSTP Solution File: KLE009+2 by Bliksem---1.12
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : KLE009+2 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n010.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 01:36:34 EDT 2022
% Result : Theorem 5.18s 5.63s
% Output : Refutation 5.18s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : KLE009+2 : TPTP v8.1.0. Released v4.0.0.
% 0.03/0.12 % Command : bliksem %s
% 0.12/0.33 % Computer : n010.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 : Thu Jun 16 15:20:08 EDT 2022
% 0.12/0.33 % CPUTime :
% 5.18/5.62 *** allocated 10000 integers for termspace/termends
% 5.18/5.62 *** allocated 10000 integers for clauses
% 5.18/5.62 *** allocated 10000 integers for justifications
% 5.18/5.62 Bliksem 1.12
% 5.18/5.62
% 5.18/5.62
% 5.18/5.62 Automatic Strategy Selection
% 5.18/5.62
% 5.18/5.62
% 5.18/5.62 Clauses:
% 5.18/5.62
% 5.18/5.62 { addition( X, Y ) = addition( Y, X ) }.
% 5.18/5.62 { addition( Z, addition( Y, X ) ) = addition( addition( Z, Y ), X ) }.
% 5.18/5.62 { addition( X, zero ) = X }.
% 5.18/5.62 { addition( X, X ) = X }.
% 5.18/5.62 { multiplication( X, multiplication( Y, Z ) ) = multiplication(
% 5.18/5.62 multiplication( X, Y ), Z ) }.
% 5.18/5.62 { multiplication( X, one ) = X }.
% 5.18/5.62 { multiplication( one, X ) = X }.
% 5.18/5.62 { multiplication( X, addition( Y, Z ) ) = addition( multiplication( X, Y )
% 5.18/5.62 , multiplication( X, Z ) ) }.
% 5.18/5.62 { multiplication( addition( X, Y ), Z ) = addition( multiplication( X, Z )
% 5.18/5.62 , multiplication( Y, Z ) ) }.
% 5.18/5.62 { multiplication( X, zero ) = zero }.
% 5.18/5.62 { multiplication( zero, X ) = zero }.
% 5.18/5.62 { ! leq( X, Y ), addition( X, Y ) = Y }.
% 5.18/5.62 { ! addition( X, Y ) = Y, leq( X, Y ) }.
% 5.18/5.62 { ! test( X ), complement( skol1( X ), X ) }.
% 5.18/5.62 { ! complement( Y, X ), test( X ) }.
% 5.18/5.62 { ! complement( Y, X ), multiplication( X, Y ) = zero }.
% 5.18/5.63 { ! complement( Y, X ), alpha1( X, Y ) }.
% 5.18/5.63 { ! multiplication( X, Y ) = zero, ! alpha1( X, Y ), complement( Y, X ) }.
% 5.18/5.63 { ! alpha1( X, Y ), multiplication( Y, X ) = zero }.
% 5.18/5.63 { ! alpha1( X, Y ), addition( X, Y ) = one }.
% 5.18/5.63 { ! multiplication( Y, X ) = zero, ! addition( X, Y ) = one, alpha1( X, Y )
% 5.18/5.63 }.
% 5.18/5.63 { ! test( X ), ! c( X ) = Y, complement( X, Y ) }.
% 5.18/5.63 { ! test( X ), ! complement( X, Y ), c( X ) = Y }.
% 5.18/5.63 { test( X ), c( X ) = zero }.
% 5.18/5.63 { ! test( X ), ! test( Y ), c( addition( X, Y ) ) = multiplication( c( X )
% 5.18/5.63 , c( Y ) ) }.
% 5.18/5.63 { ! test( X ), ! test( Y ), c( multiplication( X, Y ) ) = addition( c( X )
% 5.18/5.63 , c( Y ) ) }.
% 5.18/5.63 { test( skol3 ) }.
% 5.18/5.63 { test( skol2 ) }.
% 5.18/5.63 { ! one = addition( addition( addition( multiplication( skol2, skol3 ),
% 5.18/5.63 multiplication( skol2, c( skol3 ) ) ), multiplication( c( skol2 ), skol3
% 5.18/5.63 ) ), multiplication( c( skol2 ), c( skol3 ) ) ) }.
% 5.18/5.63
% 5.18/5.63 percentage equality = 0.500000, percentage horn = 0.965517
% 5.18/5.63 This is a problem with some equality
% 5.18/5.63
% 5.18/5.63
% 5.18/5.63
% 5.18/5.63 Options Used:
% 5.18/5.63
% 5.18/5.63 useres = 1
% 5.18/5.63 useparamod = 1
% 5.18/5.63 useeqrefl = 1
% 5.18/5.63 useeqfact = 1
% 5.18/5.63 usefactor = 1
% 5.18/5.63 usesimpsplitting = 0
% 5.18/5.63 usesimpdemod = 5
% 5.18/5.63 usesimpres = 3
% 5.18/5.63
% 5.18/5.63 resimpinuse = 1000
% 5.18/5.63 resimpclauses = 20000
% 5.18/5.63 substype = eqrewr
% 5.18/5.63 backwardsubs = 1
% 5.18/5.63 selectoldest = 5
% 5.18/5.63
% 5.18/5.63 litorderings [0] = split
% 5.18/5.63 litorderings [1] = extend the termordering, first sorting on arguments
% 5.18/5.63
% 5.18/5.63 termordering = kbo
% 5.18/5.63
% 5.18/5.63 litapriori = 0
% 5.18/5.63 termapriori = 1
% 5.18/5.63 litaposteriori = 0
% 5.18/5.63 termaposteriori = 0
% 5.18/5.63 demodaposteriori = 0
% 5.18/5.63 ordereqreflfact = 0
% 5.18/5.63
% 5.18/5.63 litselect = negord
% 5.18/5.63
% 5.18/5.63 maxweight = 15
% 5.18/5.63 maxdepth = 30000
% 5.18/5.63 maxlength = 115
% 5.18/5.63 maxnrvars = 195
% 5.18/5.63 excuselevel = 1
% 5.18/5.63 increasemaxweight = 1
% 5.18/5.63
% 5.18/5.63 maxselected = 10000000
% 5.18/5.63 maxnrclauses = 10000000
% 5.18/5.63
% 5.18/5.63 showgenerated = 0
% 5.18/5.63 showkept = 0
% 5.18/5.63 showselected = 0
% 5.18/5.63 showdeleted = 0
% 5.18/5.63 showresimp = 1
% 5.18/5.63 showstatus = 2000
% 5.18/5.63
% 5.18/5.63 prologoutput = 0
% 5.18/5.63 nrgoals = 5000000
% 5.18/5.63 totalproof = 1
% 5.18/5.63
% 5.18/5.63 Symbols occurring in the translation:
% 5.18/5.63
% 5.18/5.63 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 5.18/5.63 . [1, 2] (w:1, o:23, a:1, s:1, b:0),
% 5.18/5.63 ! [4, 1] (w:0, o:15, a:1, s:1, b:0),
% 5.18/5.63 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 5.18/5.63 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 5.18/5.63 addition [37, 2] (w:1, o:47, a:1, s:1, b:0),
% 5.18/5.63 zero [39, 0] (w:1, o:9, a:1, s:1, b:0),
% 5.18/5.63 multiplication [40, 2] (w:1, o:49, a:1, s:1, b:0),
% 5.18/5.63 one [41, 0] (w:1, o:10, a:1, s:1, b:0),
% 5.18/5.63 leq [42, 2] (w:1, o:48, a:1, s:1, b:0),
% 5.18/5.63 test [44, 1] (w:1, o:21, a:1, s:1, b:0),
% 5.18/5.63 complement [46, 2] (w:1, o:50, a:1, s:1, b:0),
% 5.18/5.63 c [47, 1] (w:1, o:22, a:1, s:1, b:0),
% 5.18/5.63 alpha1 [48, 2] (w:1, o:51, a:1, s:1, b:1),
% 5.18/5.63 skol1 [49, 1] (w:1, o:20, a:1, s:1, b:1),
% 5.18/5.63 skol2 [50, 0] (w:1, o:13, a:1, s:1, b:1),
% 5.18/5.63 skol3 [51, 0] (w:1, o:14, a:1, s:1, b:1).
% 5.18/5.63
% 5.18/5.63
% 5.18/5.63 Starting Search:
% 5.18/5.63
% 5.18/5.63 *** allocated 15000 integers for clauses
% 5.18/5.63 *** allocated 22500 integers for clauses
% 5.18/5.63 *** allocated 33750 integers for clauses
% 5.18/5.63 *** allocated 50625 integers for clauses
% 5.18/5.63 *** allocated 15000 integers for termspace/termends
% 5.18/5.63 *** allocated 75937 integers for clauses
% 5.18/5.63 Resimplifying inuse:
% 5.18/5.63 Done
% 5.18/5.63
% 5.18/5.63 *** allocated 22500 integers for termspace/termends
% 5.18/5.63 *** allocated 113905 integers for clauses
% 5.18/5.63 *** allocated 33750 integers for termspace/termends
% 5.18/5.63
% 5.18/5.63 Intermediate Status:
% 5.18/5.63 Generated: 14314
% 5.18/5.63 Kept: 2001
% 5.18/5.63 Inuse: 197
% 5.18/5.63 Deleted: 58
% 5.18/5.63 Deletedinuse: 12
% 5.18/5.63
% 5.18/5.63 Resimplifying inuse:
% 5.18/5.63 Done
% 5.18/5.63
% 5.18/5.63 *** allocated 170857 integers for clauses
% 5.18/5.63 *** allocated 50625 integers for termspace/termends
% 5.18/5.63 Resimplifying inuse:
% 5.18/5.63 Done
% 5.18/5.63
% 5.18/5.63 *** allocated 256285 integers for clauses
% 5.18/5.63
% 5.18/5.63 Intermediate Status:
% 5.18/5.63 Generated: 31486
% 5.18/5.63 Kept: 4029
% 5.18/5.63 Inuse: 337
% 5.18/5.63 Deleted: 133
% 5.18/5.63 Deletedinuse: 49
% 5.18/5.63
% 5.18/5.63 Resimplifying inuse:
% 5.18/5.63 Done
% 5.18/5.63
% 5.18/5.63 *** allocated 75937 integers for termspace/termends
% 5.18/5.63 *** allocated 384427 integers for clauses
% 5.18/5.63 Resimplifying inuse:
% 5.18/5.63 Done
% 5.18/5.63
% 5.18/5.63
% 5.18/5.63 Intermediate Status:
% 5.18/5.63 Generated: 48793
% 5.18/5.63 Kept: 6039
% 5.18/5.63 Inuse: 458
% 5.18/5.63 Deleted: 307
% 5.18/5.63 Deletedinuse: 65
% 5.18/5.63
% 5.18/5.63 Resimplifying inuse:
% 5.18/5.63 Done
% 5.18/5.63
% 5.18/5.63 *** allocated 113905 integers for termspace/termends
% 5.18/5.63 Resimplifying inuse:
% 5.18/5.63 Done
% 5.18/5.63
% 5.18/5.63 *** allocated 576640 integers for clauses
% 5.18/5.63
% 5.18/5.63 Intermediate Status:
% 5.18/5.63 Generated: 63902
% 5.18/5.63 Kept: 8042
% 5.18/5.63 Inuse: 537
% 5.18/5.63 Deleted: 316
% 5.18/5.63 Deletedinuse: 65
% 5.18/5.63
% 5.18/5.63 Resimplifying inuse:
% 5.18/5.63 Done
% 5.18/5.63
% 5.18/5.63 *** allocated 170857 integers for termspace/termends
% 5.18/5.63 Resimplifying inuse:
% 5.18/5.63 Done
% 5.18/5.63
% 5.18/5.63
% 5.18/5.63 Intermediate Status:
% 5.18/5.63 Generated: 83883
% 5.18/5.63 Kept: 10046
% 5.18/5.63 Inuse: 615
% 5.18/5.63 Deleted: 325
% 5.18/5.63 Deletedinuse: 65
% 5.18/5.63
% 5.18/5.63 Resimplifying inuse:
% 5.18/5.63 Done
% 5.18/5.63
% 5.18/5.63 *** allocated 864960 integers for clauses
% 5.18/5.63 Resimplifying inuse:
% 5.18/5.63 Done
% 5.18/5.63
% 5.18/5.63
% 5.18/5.63 Intermediate Status:
% 5.18/5.63 Generated: 95923
% 5.18/5.63 Kept: 12053
% 5.18/5.63 Inuse: 689
% 5.18/5.63 Deleted: 385
% 5.18/5.63 Deletedinuse: 113
% 5.18/5.63
% 5.18/5.63 Resimplifying inuse:
% 5.18/5.63 Done
% 5.18/5.63
% 5.18/5.63 Resimplifying inuse:
% 5.18/5.63 Done
% 5.18/5.63
% 5.18/5.63
% 5.18/5.63 Intermediate Status:
% 5.18/5.63 Generated: 104177
% 5.18/5.63 Kept: 14062
% 5.18/5.63 Inuse: 731
% 5.18/5.63 Deleted: 496
% 5.18/5.63 Deletedinuse: 214
% 5.18/5.63
% 5.18/5.63 *** allocated 256285 integers for termspace/termends
% 5.18/5.63 Resimplifying inuse:
% 5.18/5.63 Done
% 5.18/5.63
% 5.18/5.63
% 5.18/5.63 Intermediate Status:
% 5.18/5.63 Generated: 119224
% 5.18/5.63 Kept: 16125
% 5.18/5.63 Inuse: 775
% 5.18/5.63 Deleted: 528
% 5.18/5.63 Deletedinuse: 221
% 5.18/5.63
% 5.18/5.63 Resimplifying inuse:
% 5.18/5.63 Done
% 5.18/5.63
% 5.18/5.63 Resimplifying inuse:
% 5.18/5.63 Done
% 5.18/5.63
% 5.18/5.63
% 5.18/5.63 Intermediate Status:
% 5.18/5.63 Generated: 130694
% 5.18/5.63 Kept: 18150
% 5.18/5.63 Inuse: 831
% 5.18/5.63 Deleted: 623
% 5.18/5.63 Deletedinuse: 230
% 5.18/5.63
% 5.18/5.63 Resimplifying inuse:
% 5.18/5.63 Done
% 5.18/5.63
% 5.18/5.63 *** allocated 1297440 integers for clauses
% 5.18/5.63 Resimplifying inuse:
% 5.18/5.63 Done
% 5.18/5.63
% 5.18/5.63 Resimplifying clauses:
% 5.18/5.63
% 5.18/5.63 Bliksems!, er is een bewijs:
% 5.18/5.63 % SZS status Theorem
% 5.18/5.63 % SZS output start Refutation
% 5.18/5.63
% 5.18/5.63 (0) {G0,W7,D3,L1,V2,M1} I { addition( X, Y ) = addition( Y, X ) }.
% 5.18/5.63 (1) {G0,W11,D4,L1,V3,M1} I { addition( Z, addition( Y, X ) ) ==> addition(
% 5.18/5.63 addition( Z, Y ), X ) }.
% 5.18/5.63 (6) {G0,W5,D3,L1,V1,M1} I { multiplication( one, X ) ==> X }.
% 5.18/5.63 (7) {G0,W13,D4,L1,V3,M1} I { addition( multiplication( X, Y ),
% 5.18/5.63 multiplication( X, Z ) ) ==> multiplication( X, addition( Y, Z ) ) }.
% 5.18/5.63 (8) {G0,W13,D4,L1,V3,M1} I { addition( multiplication( X, Z ),
% 5.18/5.63 multiplication( Y, Z ) ) ==> multiplication( addition( X, Y ), Z ) }.
% 5.18/5.63 (13) {G0,W6,D3,L2,V1,M2} I { ! test( X ), complement( skol1( X ), X ) }.
% 5.18/5.63 (15) {G0,W8,D3,L2,V2,M2} I { ! complement( Y, X ), multiplication( X, Y )
% 5.18/5.63 ==> zero }.
% 5.18/5.63 (16) {G0,W6,D2,L2,V2,M2} I { ! complement( Y, X ), alpha1( X, Y ) }.
% 5.18/5.63 (17) {G0,W11,D3,L3,V2,M3} I { ! multiplication( X, Y ) ==> zero, ! alpha1(
% 5.18/5.63 X, Y ), complement( Y, X ) }.
% 5.18/5.63 (18) {G0,W8,D3,L2,V2,M2} I { ! alpha1( X, Y ), multiplication( Y, X ) ==>
% 5.18/5.63 zero }.
% 5.18/5.63 (19) {G0,W8,D3,L2,V2,M2} I { ! alpha1( X, Y ), addition( X, Y ) ==> one }.
% 5.18/5.63 (20) {G0,W13,D3,L3,V2,M3} I { ! multiplication( Y, X ) ==> zero, ! addition
% 5.18/5.63 ( X, Y ) ==> one, alpha1( X, Y ) }.
% 5.18/5.63 (22) {G0,W9,D3,L3,V2,M3} I { ! test( X ), ! complement( X, Y ), c( X ) = Y
% 5.18/5.63 }.
% 5.18/5.63 (26) {G0,W2,D2,L1,V0,M1} I { test( skol3 ) }.
% 5.18/5.63 (27) {G0,W2,D2,L1,V0,M1} I { test( skol2 ) }.
% 5.18/5.63 (28) {G1,W19,D7,L1,V0,M1} I;d(7) { ! addition( addition( multiplication(
% 5.18/5.63 skol2, addition( skol3, c( skol3 ) ) ), multiplication( c( skol2 ), skol3
% 5.18/5.63 ) ), multiplication( c( skol2 ), c( skol3 ) ) ) ==> one }.
% 5.18/5.63 (50) {G1,W17,D5,L1,V4,M1} P(7,1) { addition( addition( T, multiplication( X
% 5.18/5.63 , Y ) ), multiplication( X, Z ) ) ==> addition( T, multiplication( X,
% 5.18/5.63 addition( Y, Z ) ) ) }.
% 5.18/5.63 (183) {G1,W4,D3,L1,V0,M1} R(13,26) { complement( skol1( skol3 ), skol3 )
% 5.18/5.63 }.
% 5.18/5.63 (184) {G1,W4,D3,L1,V0,M1} R(13,27) { complement( skol1( skol2 ), skol2 )
% 5.18/5.63 }.
% 5.18/5.63 (187) {G2,W4,D3,L1,V0,M1} R(183,16) { alpha1( skol3, skol1( skol3 ) ) }.
% 5.18/5.63 (191) {G2,W4,D3,L1,V0,M1} R(184,16) { alpha1( skol2, skol1( skol2 ) ) }.
% 5.18/5.63 (194) {G2,W6,D4,L1,V0,M1} R(15,184) { multiplication( skol2, skol1( skol2 )
% 5.18/5.63 ) ==> zero }.
% 5.18/5.63 (195) {G2,W6,D4,L1,V0,M1} R(15,183) { multiplication( skol3, skol1( skol3 )
% 5.18/5.63 ) ==> zero }.
% 5.18/5.63 (236) {G3,W6,D4,L1,V0,M1} R(18,191) { multiplication( skol1( skol2 ), skol2
% 5.18/5.63 ) ==> zero }.
% 5.18/5.63 (237) {G3,W6,D4,L1,V0,M1} R(18,187) { multiplication( skol1( skol3 ), skol3
% 5.18/5.63 ) ==> zero }.
% 5.18/5.63 (262) {G3,W6,D4,L1,V0,M1} R(19,191) { addition( skol2, skol1( skol2 ) ) ==>
% 5.18/5.63 one }.
% 5.18/5.63 (263) {G3,W6,D4,L1,V0,M1} R(19,187) { addition( skol3, skol1( skol3 ) ) ==>
% 5.18/5.63 one }.
% 5.18/5.63 (513) {G2,W11,D5,L1,V0,M1} S(28);d(50);d(8) { ! multiplication( addition(
% 5.18/5.63 skol2, c( skol2 ) ), addition( skol3, c( skol3 ) ) ) ==> one }.
% 5.18/5.63 (2032) {G4,W6,D4,L1,V0,M1} P(262,0) { addition( skol1( skol2 ), skol2 ) ==>
% 5.18/5.63 one }.
% 5.18/5.63 (2076) {G5,W4,D3,L1,V0,M1} R(2032,20);d(194);q { alpha1( skol1( skol2 ),
% 5.18/5.63 skol2 ) }.
% 5.18/5.63 (2086) {G6,W4,D3,L1,V0,M1} R(2076,17);d(236);q { complement( skol2, skol1(
% 5.18/5.63 skol2 ) ) }.
% 5.18/5.63 (2094) {G7,W5,D3,L1,V0,M1} R(2086,22);r(27) { c( skol2 ) ==> skol1( skol2 )
% 5.18/5.63 }.
% 5.18/5.63 (2513) {G4,W6,D4,L1,V0,M1} P(263,0) { addition( skol1( skol3 ), skol3 ) ==>
% 5.18/5.63 one }.
% 5.18/5.63 (2548) {G5,W4,D3,L1,V0,M1} R(2513,20);d(195);q { alpha1( skol1( skol3 ),
% 5.18/5.63 skol3 ) }.
% 5.18/5.63 (2563) {G6,W4,D3,L1,V0,M1} R(2548,17);d(237);q { complement( skol3, skol1(
% 5.18/5.63 skol3 ) ) }.
% 5.18/5.63 (2567) {G7,W5,D3,L1,V0,M1} R(2563,22);r(26) { c( skol3 ) ==> skol1( skol3 )
% 5.18/5.63 }.
% 5.18/5.63 (20281) {G8,W0,D0,L0,V0,M0} S(513);d(2094);d(262);d(6);d(2567);d(263);q {
% 5.18/5.63 }.
% 5.18/5.63
% 5.18/5.63
% 5.18/5.63 % SZS output end Refutation
% 5.18/5.63 found a proof!
% 5.18/5.63
% 5.18/5.63
% 5.18/5.63 Unprocessed initial clauses:
% 5.18/5.63
% 5.18/5.63 (20283) {G0,W7,D3,L1,V2,M1} { addition( X, Y ) = addition( Y, X ) }.
% 5.18/5.63 (20284) {G0,W11,D4,L1,V3,M1} { addition( Z, addition( Y, X ) ) = addition
% 5.18/5.63 ( addition( Z, Y ), X ) }.
% 5.18/5.63 (20285) {G0,W5,D3,L1,V1,M1} { addition( X, zero ) = X }.
% 5.18/5.63 (20286) {G0,W5,D3,L1,V1,M1} { addition( X, X ) = X }.
% 5.18/5.63 (20287) {G0,W11,D4,L1,V3,M1} { multiplication( X, multiplication( Y, Z ) )
% 5.18/5.63 = multiplication( multiplication( X, Y ), Z ) }.
% 5.18/5.63 (20288) {G0,W5,D3,L1,V1,M1} { multiplication( X, one ) = X }.
% 5.18/5.63 (20289) {G0,W5,D3,L1,V1,M1} { multiplication( one, X ) = X }.
% 5.18/5.63 (20290) {G0,W13,D4,L1,V3,M1} { multiplication( X, addition( Y, Z ) ) =
% 5.18/5.63 addition( multiplication( X, Y ), multiplication( X, Z ) ) }.
% 5.18/5.63 (20291) {G0,W13,D4,L1,V3,M1} { multiplication( addition( X, Y ), Z ) =
% 5.18/5.63 addition( multiplication( X, Z ), multiplication( Y, Z ) ) }.
% 5.18/5.63 (20292) {G0,W5,D3,L1,V1,M1} { multiplication( X, zero ) = zero }.
% 5.18/5.63 (20293) {G0,W5,D3,L1,V1,M1} { multiplication( zero, X ) = zero }.
% 5.18/5.63 (20294) {G0,W8,D3,L2,V2,M2} { ! leq( X, Y ), addition( X, Y ) = Y }.
% 5.18/5.63 (20295) {G0,W8,D3,L2,V2,M2} { ! addition( X, Y ) = Y, leq( X, Y ) }.
% 5.18/5.63 (20296) {G0,W6,D3,L2,V1,M2} { ! test( X ), complement( skol1( X ), X ) }.
% 5.18/5.63 (20297) {G0,W5,D2,L2,V2,M2} { ! complement( Y, X ), test( X ) }.
% 5.18/5.63 (20298) {G0,W8,D3,L2,V2,M2} { ! complement( Y, X ), multiplication( X, Y )
% 5.18/5.63 = zero }.
% 5.18/5.63 (20299) {G0,W6,D2,L2,V2,M2} { ! complement( Y, X ), alpha1( X, Y ) }.
% 5.18/5.63 (20300) {G0,W11,D3,L3,V2,M3} { ! multiplication( X, Y ) = zero, ! alpha1(
% 5.18/5.63 X, Y ), complement( Y, X ) }.
% 5.18/5.63 (20301) {G0,W8,D3,L2,V2,M2} { ! alpha1( X, Y ), multiplication( Y, X ) =
% 5.18/5.63 zero }.
% 5.18/5.63 (20302) {G0,W8,D3,L2,V2,M2} { ! alpha1( X, Y ), addition( X, Y ) = one }.
% 5.18/5.63 (20303) {G0,W13,D3,L3,V2,M3} { ! multiplication( Y, X ) = zero, ! addition
% 5.18/5.63 ( X, Y ) = one, alpha1( X, Y ) }.
% 5.18/5.63 (20304) {G0,W9,D3,L3,V2,M3} { ! test( X ), ! c( X ) = Y, complement( X, Y
% 5.18/5.63 ) }.
% 5.18/5.63 (20305) {G0,W9,D3,L3,V2,M3} { ! test( X ), ! complement( X, Y ), c( X ) =
% 5.18/5.63 Y }.
% 5.18/5.63 (20306) {G0,W6,D3,L2,V1,M2} { test( X ), c( X ) = zero }.
% 5.18/5.63 (20307) {G0,W14,D4,L3,V2,M3} { ! test( X ), ! test( Y ), c( addition( X, Y
% 5.18/5.63 ) ) = multiplication( c( X ), c( Y ) ) }.
% 5.18/5.63 (20308) {G0,W14,D4,L3,V2,M3} { ! test( X ), ! test( Y ), c( multiplication
% 5.18/5.63 ( X, Y ) ) = addition( c( X ), c( Y ) ) }.
% 5.18/5.63 (20309) {G0,W2,D2,L1,V0,M1} { test( skol3 ) }.
% 5.18/5.63 (20310) {G0,W2,D2,L1,V0,M1} { test( skol2 ) }.
% 5.18/5.63 (20311) {G0,W21,D7,L1,V0,M1} { ! one = addition( addition( addition(
% 5.18/5.63 multiplication( skol2, skol3 ), multiplication( skol2, c( skol3 ) ) ),
% 5.18/5.63 multiplication( c( skol2 ), skol3 ) ), multiplication( c( skol2 ), c(
% 5.18/5.63 skol3 ) ) ) }.
% 5.18/5.63
% 5.18/5.63
% 5.18/5.63 Total Proof:
% 5.18/5.63
% 5.18/5.63 subsumption: (0) {G0,W7,D3,L1,V2,M1} I { addition( X, Y ) = addition( Y, X
% 5.18/5.63 ) }.
% 5.18/5.63 parent0: (20283) {G0,W7,D3,L1,V2,M1} { addition( X, Y ) = addition( Y, X )
% 5.18/5.63 }.
% 5.18/5.63 substitution0:
% 5.18/5.63 X := X
% 5.18/5.63 Y := Y
% 5.18/5.63 end
% 5.18/5.63 permutation0:
% 5.18/5.63 0 ==> 0
% 5.18/5.63 end
% 5.18/5.63
% 5.18/5.63 subsumption: (1) {G0,W11,D4,L1,V3,M1} I { addition( Z, addition( Y, X ) )
% 5.18/5.63 ==> addition( addition( Z, Y ), X ) }.
% 5.18/5.63 parent0: (20284) {G0,W11,D4,L1,V3,M1} { addition( Z, addition( Y, X ) ) =
% 5.18/5.63 addition( addition( Z, Y ), X ) }.
% 5.18/5.63 substitution0:
% 5.18/5.63 X := X
% 5.18/5.63 Y := Y
% 5.18/5.63 Z := Z
% 5.18/5.63 end
% 5.18/5.63 permutation0:
% 5.18/5.63 0 ==> 0
% 5.18/5.63 end
% 5.18/5.63
% 5.18/5.63 subsumption: (6) {G0,W5,D3,L1,V1,M1} I { multiplication( one, X ) ==> X }.
% 5.18/5.63 parent0: (20289) {G0,W5,D3,L1,V1,M1} { multiplication( one, X ) = X }.
% 5.18/5.63 substitution0:
% 5.18/5.63 X := X
% 5.18/5.63 end
% 5.18/5.63 permutation0:
% 5.18/5.63 0 ==> 0
% 5.18/5.63 end
% 5.18/5.63
% 5.18/5.63 eqswap: (20325) {G0,W13,D4,L1,V3,M1} { addition( multiplication( X, Y ),
% 5.18/5.63 multiplication( X, Z ) ) = multiplication( X, addition( Y, Z ) ) }.
% 5.18/5.63 parent0[0]: (20290) {G0,W13,D4,L1,V3,M1} { multiplication( X, addition( Y
% 5.18/5.63 , Z ) ) = addition( multiplication( X, Y ), multiplication( X, Z ) ) }.
% 5.18/5.63 substitution0:
% 5.18/5.63 X := X
% 5.18/5.63 Y := Y
% 5.18/5.63 Z := Z
% 5.18/5.63 end
% 5.18/5.63
% 5.18/5.63 subsumption: (7) {G0,W13,D4,L1,V3,M1} I { addition( multiplication( X, Y )
% 5.18/5.63 , multiplication( X, Z ) ) ==> multiplication( X, addition( Y, Z ) ) }.
% 5.18/5.63 parent0: (20325) {G0,W13,D4,L1,V3,M1} { addition( multiplication( X, Y ),
% 5.18/5.63 multiplication( X, Z ) ) = multiplication( X, addition( Y, Z ) ) }.
% 5.18/5.63 substitution0:
% 5.18/5.63 X := X
% 5.18/5.63 Y := Y
% 5.18/5.63 Z := Z
% 5.18/5.63 end
% 5.18/5.63 permutation0:
% 5.18/5.63 0 ==> 0
% 5.18/5.63 end
% 5.18/5.63
% 5.18/5.63 eqswap: (20333) {G0,W13,D4,L1,V3,M1} { addition( multiplication( X, Z ),
% 5.18/5.63 multiplication( Y, Z ) ) = multiplication( addition( X, Y ), Z ) }.
% 5.18/5.63 parent0[0]: (20291) {G0,W13,D4,L1,V3,M1} { multiplication( addition( X, Y
% 5.18/5.63 ), Z ) = addition( multiplication( X, Z ), multiplication( Y, Z ) ) }.
% 5.18/5.63 substitution0:
% 5.18/5.63 X := X
% 5.18/5.63 Y := Y
% 5.18/5.63 Z := Z
% 5.18/5.63 end
% 5.18/5.63
% 5.18/5.63 subsumption: (8) {G0,W13,D4,L1,V3,M1} I { addition( multiplication( X, Z )
% 5.18/5.63 , multiplication( Y, Z ) ) ==> multiplication( addition( X, Y ), Z ) }.
% 5.18/5.63 parent0: (20333) {G0,W13,D4,L1,V3,M1} { addition( multiplication( X, Z ),
% 5.18/5.63 multiplication( Y, Z ) ) = multiplication( addition( X, Y ), Z ) }.
% 5.18/5.63 substitution0:
% 5.18/5.63 X := X
% 5.18/5.63 Y := Y
% 5.18/5.63 Z := Z
% 5.18/5.63 end
% 5.18/5.63 permutation0:
% 5.18/5.63 0 ==> 0
% 5.18/5.63 end
% 5.18/5.63
% 5.18/5.63 subsumption: (13) {G0,W6,D3,L2,V1,M2} I { ! test( X ), complement( skol1( X
% 5.18/5.63 ), X ) }.
% 5.18/5.63 parent0: (20296) {G0,W6,D3,L2,V1,M2} { ! test( X ), complement( skol1( X )
% 5.18/5.63 , X ) }.
% 5.18/5.63 substitution0:
% 5.18/5.63 X := X
% 5.18/5.63 end
% 5.18/5.63 permutation0:
% 5.18/5.63 0 ==> 0
% 5.18/5.63 1 ==> 1
% 5.18/5.63 end
% 5.18/5.63
% 5.18/5.63 subsumption: (15) {G0,W8,D3,L2,V2,M2} I { ! complement( Y, X ),
% 5.18/5.63 multiplication( X, Y ) ==> zero }.
% 5.18/5.63 parent0: (20298) {G0,W8,D3,L2,V2,M2} { ! complement( Y, X ),
% 5.18/5.63 multiplication( X, Y ) = zero }.
% 5.18/5.63 substitution0:
% 5.18/5.63 X := X
% 5.18/5.63 Y := Y
% 5.18/5.63 end
% 5.18/5.63 permutation0:
% 5.18/5.63 0 ==> 0
% 5.18/5.63 1 ==> 1
% 5.18/5.63 end
% 5.18/5.63
% 5.18/5.63 subsumption: (16) {G0,W6,D2,L2,V2,M2} I { ! complement( Y, X ), alpha1( X,
% 5.18/5.63 Y ) }.
% 5.18/5.63 parent0: (20299) {G0,W6,D2,L2,V2,M2} { ! complement( Y, X ), alpha1( X, Y
% 5.18/5.63 ) }.
% 5.18/5.63 substitution0:
% 5.18/5.63 X := X
% 5.18/5.63 Y := Y
% 5.18/5.63 end
% 5.18/5.63 permutation0:
% 5.18/5.63 0 ==> 0
% 5.18/5.63 1 ==> 1
% 5.18/5.63 end
% 5.18/5.63
% 5.18/5.63 subsumption: (17) {G0,W11,D3,L3,V2,M3} I { ! multiplication( X, Y ) ==>
% 5.18/5.63 zero, ! alpha1( X, Y ), complement( Y, X ) }.
% 5.18/5.63 parent0: (20300) {G0,W11,D3,L3,V2,M3} { ! multiplication( X, Y ) = zero, !
% 5.18/5.63 alpha1( X, Y ), complement( Y, X ) }.
% 5.18/5.63 substitution0:
% 5.18/5.63 X := X
% 5.18/5.63 Y := Y
% 5.18/5.63 end
% 5.18/5.63 permutation0:
% 5.18/5.63 0 ==> 0
% 5.18/5.63 1 ==> 1
% 5.18/5.63 2 ==> 2
% 5.18/5.63 end
% 5.18/5.63
% 5.18/5.63 subsumption: (18) {G0,W8,D3,L2,V2,M2} I { ! alpha1( X, Y ), multiplication
% 5.18/5.63 ( Y, X ) ==> zero }.
% 5.18/5.63 parent0: (20301) {G0,W8,D3,L2,V2,M2} { ! alpha1( X, Y ), multiplication( Y
% 5.18/5.63 , X ) = zero }.
% 5.18/5.63 substitution0:
% 5.18/5.63 X := X
% 5.18/5.63 Y := Y
% 5.18/5.63 end
% 5.18/5.63 permutation0:
% 5.18/5.63 0 ==> 0
% 5.18/5.63 1 ==> 1
% 5.18/5.63 end
% 5.18/5.63
% 5.18/5.63 subsumption: (19) {G0,W8,D3,L2,V2,M2} I { ! alpha1( X, Y ), addition( X, Y
% 5.18/5.63 ) ==> one }.
% 5.18/5.63 parent0: (20302) {G0,W8,D3,L2,V2,M2} { ! alpha1( X, Y ), addition( X, Y )
% 5.18/5.63 = one }.
% 5.18/5.63 substitution0:
% 5.18/5.63 X := X
% 5.18/5.63 Y := Y
% 5.18/5.63 end
% 5.18/5.63 permutation0:
% 5.18/5.63 0 ==> 0
% 5.18/5.63 1 ==> 1
% 5.18/5.63 end
% 5.18/5.63
% 5.18/5.63 subsumption: (20) {G0,W13,D3,L3,V2,M3} I { ! multiplication( Y, X ) ==>
% 5.18/5.63 zero, ! addition( X, Y ) ==> one, alpha1( X, Y ) }.
% 5.18/5.63 parent0: (20303) {G0,W13,D3,L3,V2,M3} { ! multiplication( Y, X ) = zero, !
% 5.18/5.63 addition( X, Y ) = one, alpha1( X, Y ) }.
% 5.18/5.63 substitution0:
% 5.18/5.63 X := X
% 5.18/5.63 Y := Y
% 5.18/5.63 end
% 5.18/5.63 permutation0:
% 5.18/5.63 0 ==> 0
% 5.18/5.63 1 ==> 1
% 5.18/5.63 2 ==> 2
% 5.18/5.63 end
% 5.18/5.63
% 5.18/5.63 subsumption: (22) {G0,W9,D3,L3,V2,M3} I { ! test( X ), ! complement( X, Y )
% 5.18/5.63 , c( X ) = Y }.
% 5.18/5.63 parent0: (20305) {G0,W9,D3,L3,V2,M3} { ! test( X ), ! complement( X, Y ),
% 5.18/5.63 c( X ) = Y }.
% 5.18/5.63 substitution0:
% 5.18/5.63 X := X
% 5.18/5.63 Y := Y
% 5.18/5.63 end
% 5.18/5.63 permutation0:
% 5.18/5.63 0 ==> 0
% 5.18/5.63 1 ==> 1
% 5.18/5.63 2 ==> 2
% 5.18/5.63 end
% 5.18/5.63
% 5.18/5.63 subsumption: (26) {G0,W2,D2,L1,V0,M1} I { test( skol3 ) }.
% 5.18/5.63 parent0: (20309) {G0,W2,D2,L1,V0,M1} { test( skol3 ) }.
% 5.18/5.63 substitution0:
% 5.18/5.63 end
% 5.18/5.63 permutation0:
% 5.18/5.63 0 ==> 0
% 5.18/5.63 end
% 5.18/5.63
% 5.18/5.63 subsumption: (27) {G0,W2,D2,L1,V0,M1} I { test( skol2 ) }.
% 5.18/5.63 parent0: (20310) {G0,W2,D2,L1,V0,M1} { test( skol2 ) }.
% 5.18/5.63 substitution0:
% 5.18/5.63 end
% 5.18/5.63 permutation0:
% 5.18/5.63 0 ==> 0
% 5.18/5.63 end
% 5.18/5.63
% 5.18/5.63 paramod: (20573) {G1,W19,D7,L1,V0,M1} { ! one = addition( addition(
% 5.18/5.63 multiplication( skol2, addition( skol3, c( skol3 ) ) ), multiplication( c
% 5.18/5.63 ( skol2 ), skol3 ) ), multiplication( c( skol2 ), c( skol3 ) ) ) }.
% 5.18/5.63 parent0[0]: (7) {G0,W13,D4,L1,V3,M1} I { addition( multiplication( X, Y ),
% 5.18/5.63 multiplication( X, Z ) ) ==> multiplication( X, addition( Y, Z ) ) }.
% 5.18/5.63 parent1[0; 5]: (20311) {G0,W21,D7,L1,V0,M1} { ! one = addition( addition(
% 5.18/5.63 addition( multiplication( skol2, skol3 ), multiplication( skol2, c( skol3
% 5.18/5.63 ) ) ), multiplication( c( skol2 ), skol3 ) ), multiplication( c( skol2 )
% 5.18/5.63 , c( skol3 ) ) ) }.
% 5.18/5.63 substitution0:
% 5.18/5.63 X := skol2
% 5.18/5.63 Y := skol3
% 5.18/5.63 Z := c( skol3 )
% 5.18/5.63 end
% 5.18/5.63 substitution1:
% 5.18/5.63 end
% 5.18/5.63
% 5.18/5.63 eqswap: (20574) {G1,W19,D7,L1,V0,M1} { ! addition( addition(
% 5.18/5.63 multiplication( skol2, addition( skol3, c( skol3 ) ) ), multiplication( c
% 5.18/5.63 ( skol2 ), skol3 ) ), multiplication( c( skol2 ), c( skol3 ) ) ) = one
% 5.18/5.63 }.
% 5.18/5.63 parent0[0]: (20573) {G1,W19,D7,L1,V0,M1} { ! one = addition( addition(
% 5.18/5.63 multiplication( skol2, addition( skol3, c( skol3 ) ) ), multiplication( c
% 5.18/5.63 ( skol2 ), skol3 ) ), multiplication( c( skol2 ), c( skol3 ) ) ) }.
% 5.18/5.63 substitution0:
% 5.18/5.63 end
% 5.18/5.63
% 5.18/5.63 subsumption: (28) {G1,W19,D7,L1,V0,M1} I;d(7) { ! addition( addition(
% 5.18/5.63 multiplication( skol2, addition( skol3, c( skol3 ) ) ), multiplication( c
% 5.18/5.63 ( skol2 ), skol3 ) ), multiplication( c( skol2 ), c( skol3 ) ) ) ==> one
% 5.18/5.63 }.
% 5.18/5.63 parent0: (20574) {G1,W19,D7,L1,V0,M1} { ! addition( addition(
% 5.18/5.63 multiplication( skol2, addition( skol3, c( skol3 ) ) ), multiplication( c
% 5.18/5.63 ( skol2 ), skol3 ) ), multiplication( c( skol2 ), c( skol3 ) ) ) = one
% 5.18/5.63 }.
% 5.18/5.63 substitution0:
% 5.18/5.63 end
% 5.18/5.63 permutation0:
% 5.18/5.63 0 ==> 0
% 5.18/5.63 end
% 5.18/5.63
% 5.18/5.63 eqswap: (20576) {G0,W11,D4,L1,V3,M1} { addition( addition( X, Y ), Z ) ==>
% 5.18/5.63 addition( X, addition( Y, Z ) ) }.
% 5.18/5.63 parent0[0]: (1) {G0,W11,D4,L1,V3,M1} I { addition( Z, addition( Y, X ) )
% 5.18/5.63 ==> addition( addition( Z, Y ), X ) }.
% 5.18/5.63 substitution0:
% 5.18/5.63 X := Z
% 5.18/5.63 Y := Y
% 5.18/5.63 Z := X
% 5.18/5.63 end
% 5.18/5.63
% 5.18/5.63 paramod: (20580) {G1,W17,D5,L1,V4,M1} { addition( addition( X,
% 5.18/5.63 multiplication( Y, Z ) ), multiplication( Y, T ) ) ==> addition( X,
% 5.18/5.63 multiplication( Y, addition( Z, T ) ) ) }.
% 5.18/5.63 parent0[0]: (7) {G0,W13,D4,L1,V3,M1} I { addition( multiplication( X, Y ),
% 5.18/5.63 multiplication( X, Z ) ) ==> multiplication( X, addition( Y, Z ) ) }.
% 5.18/5.63 parent1[0; 12]: (20576) {G0,W11,D4,L1,V3,M1} { addition( addition( X, Y )
% 5.18/5.63 , Z ) ==> addition( X, addition( Y, Z ) ) }.
% 5.18/5.63 substitution0:
% 5.18/5.63 X := Y
% 5.18/5.63 Y := Z
% 5.18/5.63 Z := T
% 5.18/5.63 end
% 5.18/5.63 substitution1:
% 5.18/5.63 X := X
% 5.18/5.63 Y := multiplication( Y, Z )
% 5.18/5.63 Z := multiplication( Y, T )
% 5.18/5.63 end
% 5.18/5.63
% 5.18/5.63 subsumption: (50) {G1,W17,D5,L1,V4,M1} P(7,1) { addition( addition( T,
% 5.18/5.63 multiplication( X, Y ) ), multiplication( X, Z ) ) ==> addition( T,
% 5.18/5.63 multiplication( X, addition( Y, Z ) ) ) }.
% 5.18/5.63 parent0: (20580) {G1,W17,D5,L1,V4,M1} { addition( addition( X,
% 5.18/5.63 multiplication( Y, Z ) ), multiplication( Y, T ) ) ==> addition( X,
% 5.18/5.63 multiplication( Y, addition( Z, T ) ) ) }.
% 5.18/5.63 substitution0:
% 5.18/5.63 X := T
% 5.18/5.63 Y := X
% 5.18/5.63 Z := Y
% 5.18/5.63 T := Z
% 5.18/5.63 end
% 5.18/5.63 permutation0:
% 5.18/5.63 0 ==> 0
% 5.18/5.63 end
% 5.18/5.63
% 5.18/5.63 resolution: (20583) {G1,W4,D3,L1,V0,M1} { complement( skol1( skol3 ),
% 5.18/5.63 skol3 ) }.
% 5.18/5.63 parent0[0]: (13) {G0,W6,D3,L2,V1,M2} I { ! test( X ), complement( skol1( X
% 5.18/5.63 ), X ) }.
% 5.18/5.63 parent1[0]: (26) {G0,W2,D2,L1,V0,M1} I { test( skol3 ) }.
% 5.18/5.63 substitution0:
% 5.18/5.63 X := skol3
% 5.18/5.63 end
% 5.18/5.63 substitution1:
% 5.18/5.63 end
% 5.18/5.63
% 5.18/5.63 subsumption: (183) {G1,W4,D3,L1,V0,M1} R(13,26) { complement( skol1( skol3
% 5.18/5.63 ), skol3 ) }.
% 5.18/5.63 parent0: (20583) {G1,W4,D3,L1,V0,M1} { complement( skol1( skol3 ), skol3 )
% 5.18/5.63 }.
% 5.18/5.63 substitution0:
% 5.18/5.63 end
% 5.18/5.63 permutation0:
% 5.18/5.63 0 ==> 0
% 5.18/5.63 end
% 5.18/5.63
% 5.18/5.63 resolution: (20584) {G1,W4,D3,L1,V0,M1} { complement( skol1( skol2 ),
% 5.18/5.63 skol2 ) }.
% 5.18/5.63 parent0[0]: (13) {G0,W6,D3,L2,V1,M2} I { ! test( X ), complement( skol1( X
% 5.18/5.63 ), X ) }.
% 5.18/5.63 parent1[0]: (27) {G0,W2,D2,L1,V0,M1} I { test( skol2 ) }.
% 5.18/5.63 substitution0:
% 5.18/5.63 X := skol2
% 5.18/5.63 end
% 5.18/5.63 substitution1:
% 5.18/5.63 end
% 5.18/5.63
% 5.18/5.63 subsumption: (184) {G1,W4,D3,L1,V0,M1} R(13,27) { complement( skol1( skol2
% 5.18/5.63 ), skol2 ) }.
% 5.18/5.63 parent0: (20584) {G1,W4,D3,L1,V0,M1} { complement( skol1( skol2 ), skol2 )
% 5.18/5.63 }.
% 5.18/5.63 substitution0:
% 5.18/5.63 end
% 5.18/5.63 permutation0:
% 5.18/5.63 0 ==> 0
% 5.18/5.63 end
% 5.18/5.63
% 5.18/5.63 resolution: (20585) {G1,W4,D3,L1,V0,M1} { alpha1( skol3, skol1( skol3 ) )
% 5.18/5.63 }.
% 5.18/5.63 parent0[0]: (16) {G0,W6,D2,L2,V2,M2} I { ! complement( Y, X ), alpha1( X, Y
% 5.18/5.63 ) }.
% 5.18/5.63 parent1[0]: (183) {G1,W4,D3,L1,V0,M1} R(13,26) { complement( skol1( skol3 )
% 5.18/5.63 , skol3 ) }.
% 5.18/5.63 substitution0:
% 5.18/5.63 X := skol3
% 5.18/5.63 Y := skol1( skol3 )
% 5.18/5.63 end
% 5.18/5.63 substitution1:
% 5.18/5.63 end
% 5.18/5.63
% 5.18/5.63 subsumption: (187) {G2,W4,D3,L1,V0,M1} R(183,16) { alpha1( skol3, skol1(
% 5.18/5.63 skol3 ) ) }.
% 5.18/5.63 parent0: (20585) {G1,W4,D3,L1,V0,M1} { alpha1( skol3, skol1( skol3 ) ) }.
% 5.18/5.63 substitution0:
% 5.18/5.63 end
% 5.18/5.63 permutation0:
% 5.18/5.63 0 ==> 0
% 5.18/5.63 end
% 5.18/5.63
% 5.18/5.63 resolution: (20586) {G1,W4,D3,L1,V0,M1} { alpha1( skol2, skol1( skol2 ) )
% 5.18/5.63 }.
% 5.18/5.63 parent0[0]: (16) {G0,W6,D2,L2,V2,M2} I { ! complement( Y, X ), alpha1( X, Y
% 5.18/5.63 ) }.
% 5.18/5.63 parent1[0]: (184) {G1,W4,D3,L1,V0,M1} R(13,27) { complement( skol1( skol2 )
% 5.18/5.63 , skol2 ) }.
% 5.18/5.63 substitution0:
% 5.18/5.63 X := skol2
% 5.18/5.63 Y := skol1( skol2 )
% 5.18/5.63 end
% 5.18/5.63 substitution1:
% 5.18/5.63 end
% 5.18/5.63
% 5.18/5.63 subsumption: (191) {G2,W4,D3,L1,V0,M1} R(184,16) { alpha1( skol2, skol1(
% 5.18/5.63 skol2 ) ) }.
% 5.18/5.63 parent0: (20586) {G1,W4,D3,L1,V0,M1} { alpha1( skol2, skol1( skol2 ) ) }.
% 5.18/5.63 substitution0:
% 5.18/5.63 end
% 5.18/5.63 permutation0:
% 5.18/5.63 0 ==> 0
% 5.18/5.63 end
% 5.18/5.63
% 5.18/5.63 eqswap: (20587) {G0,W8,D3,L2,V2,M2} { zero ==> multiplication( X, Y ), !
% 5.18/5.63 complement( Y, X ) }.
% 5.18/5.63 parent0[1]: (15) {G0,W8,D3,L2,V2,M2} I { ! complement( Y, X ),
% 5.18/5.63 multiplication( X, Y ) ==> zero }.
% 5.18/5.63 substitution0:
% 5.18/5.63 X := X
% 5.18/5.63 Y := Y
% 5.18/5.63 end
% 5.18/5.63
% 5.18/5.63 resolution: (20588) {G1,W6,D4,L1,V0,M1} { zero ==> multiplication( skol2,
% 5.18/5.63 skol1( skol2 ) ) }.
% 5.18/5.63 parent0[1]: (20587) {G0,W8,D3,L2,V2,M2} { zero ==> multiplication( X, Y )
% 5.18/5.63 , ! complement( Y, X ) }.
% 5.18/5.63 parent1[0]: (184) {G1,W4,D3,L1,V0,M1} R(13,27) { complement( skol1( skol2 )
% 5.18/5.63 , skol2 ) }.
% 5.18/5.63 substitution0:
% 5.18/5.63 X := skol2
% 5.18/5.63 Y := skol1( skol2 )
% 5.18/5.63 end
% 5.18/5.63 substitution1:
% 5.18/5.63 end
% 5.18/5.63
% 5.18/5.63 eqswap: (20589) {G1,W6,D4,L1,V0,M1} { multiplication( skol2, skol1( skol2
% 5.18/5.63 ) ) ==> zero }.
% 5.18/5.63 parent0[0]: (20588) {G1,W6,D4,L1,V0,M1} { zero ==> multiplication( skol2,
% 5.18/5.63 skol1( skol2 ) ) }.
% 5.18/5.63 substitution0:
% 5.18/5.63 end
% 5.18/5.63
% 5.18/5.63 subsumption: (194) {G2,W6,D4,L1,V0,M1} R(15,184) { multiplication( skol2,
% 5.18/5.63 skol1( skol2 ) ) ==> zero }.
% 5.18/5.63 parent0: (20589) {G1,W6,D4,L1,V0,M1} { multiplication( skol2, skol1( skol2
% 5.18/5.63 ) ) ==> zero }.
% 5.18/5.63 substitution0:
% 5.18/5.63 end
% 5.18/5.63 permutation0:
% 5.18/5.63 0 ==> 0
% 5.18/5.63 end
% 5.18/5.63
% 5.18/5.63 eqswap: (20590) {G0,W8,D3,L2,V2,M2} { zero ==> multiplication( X, Y ), !
% 5.18/5.63 complement( Y, X ) }.
% 5.18/5.63 parent0[1]: (15) {G0,W8,D3,L2,V2,M2} I { ! complement( Y, X ),
% 5.18/5.63 multiplication( X, Y ) ==> zero }.
% 5.18/5.63 substitution0:
% 5.18/5.63 X := X
% 5.18/5.63 Y := Y
% 5.18/5.63 end
% 5.18/5.63
% 5.18/5.63 resolution: (20591) {G1,W6,D4,L1,V0,M1} { zero ==> multiplication( skol3,
% 5.18/5.63 skol1( skol3 ) ) }.
% 5.18/5.63 parent0[1]: (20590) {G0,W8,D3,L2,V2,M2} { zero ==> multiplication( X, Y )
% 5.18/5.63 , ! complement( Y, X ) }.
% 5.18/5.63 parent1[0]: (183) {G1,W4,D3,L1,V0,M1} R(13,26) { complement( skol1( skol3 )
% 5.18/5.63 , skol3 ) }.
% 5.18/5.63 substitution0:
% 5.18/5.63 X := skol3
% 5.18/5.63 Y := skol1( skol3 )
% 5.18/5.63 end
% 5.18/5.63 substitution1:
% 5.18/5.63 end
% 5.18/5.63
% 5.18/5.63 eqswap: (20592) {G1,W6,D4,L1,V0,M1} { multiplication( skol3, skol1( skol3
% 5.18/5.63 ) ) ==> zero }.
% 5.18/5.63 parent0[0]: (20591) {G1,W6,D4,L1,V0,M1} { zero ==> multiplication( skol3,
% 5.18/5.63 skol1( skol3 ) ) }.
% 5.18/5.63 substitution0:
% 5.18/5.63 end
% 5.18/5.63
% 5.18/5.63 subsumption: (195) {G2,W6,D4,L1,V0,M1} R(15,183) { multiplication( skol3,
% 5.18/5.63 skol1( skol3 ) ) ==> zero }.
% 5.18/5.63 parent0: (20592) {G1,W6,D4,L1,V0,M1} { multiplication( skol3, skol1( skol3
% 5.18/5.63 ) ) ==> zero }.
% 5.18/5.63 substitution0:
% 5.18/5.63 end
% 5.18/5.63 permutation0:
% 5.18/5.63 0 ==> 0
% 5.18/5.63 end
% 5.18/5.63
% 5.18/5.63 eqswap: (20593) {G0,W8,D3,L2,V2,M2} { zero ==> multiplication( X, Y ), !
% 5.18/5.63 alpha1( Y, X ) }.
% 5.18/5.63 parent0[1]: (18) {G0,W8,D3,L2,V2,M2} I { ! alpha1( X, Y ), multiplication(
% 5.18/5.63 Y, X ) ==> zero }.
% 5.18/5.63 substitution0:
% 5.18/5.63 X := Y
% 5.18/5.63 Y := X
% 5.18/5.63 end
% 5.18/5.63
% 5.18/5.63 resolution: (20594) {G1,W6,D4,L1,V0,M1} { zero ==> multiplication( skol1(
% 5.18/5.63 skol2 ), skol2 ) }.
% 5.18/5.63 parent0[1]: (20593) {G0,W8,D3,L2,V2,M2} { zero ==> multiplication( X, Y )
% 5.18/5.63 , ! alpha1( Y, X ) }.
% 5.18/5.63 parent1[0]: (191) {G2,W4,D3,L1,V0,M1} R(184,16) { alpha1( skol2, skol1(
% 5.18/5.63 skol2 ) ) }.
% 5.18/5.63 substitution0:
% 5.18/5.63 X := skol1( skol2 )
% 5.18/5.63 Y := skol2
% 5.18/5.63 end
% 5.18/5.63 substitution1:
% 5.18/5.63 end
% 5.18/5.63
% 5.18/5.63 eqswap: (20595) {G1,W6,D4,L1,V0,M1} { multiplication( skol1( skol2 ),
% 5.18/5.63 skol2 ) ==> zero }.
% 5.18/5.63 parent0[0]: (20594) {G1,W6,D4,L1,V0,M1} { zero ==> multiplication( skol1(
% 5.18/5.63 skol2 ), skol2 ) }.
% 5.18/5.63 substitution0:
% 5.18/5.63 end
% 5.18/5.63
% 5.18/5.63 subsumption: (236) {G3,W6,D4,L1,V0,M1} R(18,191) { multiplication( skol1(
% 5.18/5.63 skol2 ), skol2 ) ==> zero }.
% 5.18/5.63 parent0: (20595) {G1,W6,D4,L1,V0,M1} { multiplication( skol1( skol2 ),
% 5.18/5.63 skol2 ) ==> zero }.
% 5.18/5.63 substitution0:
% 5.18/5.63 end
% 5.18/5.63 permutation0:
% 5.18/5.63 0 ==> 0
% 5.18/5.63 end
% 5.18/5.63
% 5.18/5.63 eqswap: (20596) {G0,W8,D3,L2,V2,M2} { zero ==> multiplication( X, Y ), !
% 5.18/5.63 alpha1( Y, X ) }.
% 5.18/5.63 parent0[1]: (18) {G0,W8,D3,L2,V2,M2} I { ! alpha1( X, Y ), multiplication(
% 5.18/5.63 Y, X ) ==> zero }.
% 5.18/5.63 substitution0:
% 5.18/5.63 X := Y
% 5.18/5.63 Y := X
% 5.18/5.63 end
% 5.18/5.63
% 5.18/5.63 resolution: (20597) {G1,W6,D4,L1,V0,M1} { zero ==> multiplication( skol1(
% 5.18/5.63 skol3 ), skol3 ) }.
% 5.18/5.63 parent0[1]: (20596) {G0,W8,D3,L2,V2,M2} { zero ==> multiplication( X, Y )
% 5.18/5.63 , ! alpha1( Y, X ) }.
% 5.18/5.63 parent1[0]: (187) {G2,W4,D3,L1,V0,M1} R(183,16) { alpha1( skol3, skol1(
% 5.18/5.63 skol3 ) ) }.
% 5.18/5.63 substitution0:
% 5.18/5.63 X := skol1( skol3 )
% 5.18/5.63 Y := skol3
% 5.18/5.63 end
% 5.18/5.63 substitution1:
% 5.18/5.63 end
% 5.18/5.63
% 5.18/5.63 eqswap: (20598) {G1,W6,D4,L1,V0,M1} { multiplication( skol1( skol3 ),
% 5.18/5.63 skol3 ) ==> zero }.
% 5.18/5.63 parent0[0]: (20597) {G1,W6,D4,L1,V0,M1} { zero ==> multiplication( skol1(
% 5.18/5.63 skol3 ), skol3 ) }.
% 5.18/5.63 substitution0:
% 5.18/5.63 end
% 5.18/5.63
% 5.18/5.63 subsumption: (237) {G3,W6,D4,L1,V0,M1} R(18,187) { multiplication( skol1(
% 5.18/5.63 skol3 ), skol3 ) ==> zero }.
% 5.18/5.63 parent0: (20598) {G1,W6,D4,L1,V0,M1} { multiplication( skol1( skol3 ),
% 5.18/5.63 skol3 ) ==> zero }.
% 5.18/5.63 substitution0:
% 5.18/5.63 end
% 5.18/5.63 permutation0:
% 5.18/5.63 0 ==> 0
% 5.18/5.63 end
% 5.18/5.63
% 5.18/5.63 eqswap: (20599) {G0,W8,D3,L2,V2,M2} { one ==> addition( X, Y ), ! alpha1(
% 5.18/5.63 X, Y ) }.
% 5.18/5.63 parent0[1]: (19) {G0,W8,D3,L2,V2,M2} I { ! alpha1( X, Y ), addition( X, Y )
% 5.18/5.63 ==> one }.
% 5.18/5.63 substitution0:
% 5.18/5.63 X := X
% 5.18/5.63 Y := Y
% 5.18/5.63 end
% 5.18/5.63
% 5.18/5.63 resolution: (20600) {G1,W6,D4,L1,V0,M1} { one ==> addition( skol2, skol1(
% 5.18/5.63 skol2 ) ) }.
% 5.18/5.63 parent0[1]: (20599) {G0,W8,D3,L2,V2,M2} { one ==> addition( X, Y ), !
% 5.18/5.63 alpha1( X, Y ) }.
% 5.18/5.63 parent1[0]: (191) {G2,W4,D3,L1,V0,M1} R(184,16) { alpha1( skol2, skol1(
% 5.18/5.63 skol2 ) ) }.
% 5.18/5.63 substitution0:
% 5.18/5.63 X := skol2
% 5.18/5.63 Y := skol1( skol2 )
% 5.18/5.63 end
% 5.18/5.63 substitution1:
% 5.18/5.63 end
% 5.18/5.63
% 5.18/5.63 eqswap: (20601) {G1,W6,D4,L1,V0,M1} { addition( skol2, skol1( skol2 ) )
% 5.18/5.63 ==> one }.
% 5.18/5.63 parent0[0]: (20600) {G1,W6,D4,L1,V0,M1} { one ==> addition( skol2, skol1(
% 5.18/5.63 skol2 ) ) }.
% 5.18/5.63 substitution0:
% 5.18/5.63 end
% 5.18/5.63
% 5.18/5.63 subsumption: (262) {G3,W6,D4,L1,V0,M1} R(19,191) { addition( skol2, skol1(
% 5.18/5.63 skol2 ) ) ==> one }.
% 5.18/5.63 parent0: (20601) {G1,W6,D4,L1,V0,M1} { addition( skol2, skol1( skol2 ) )
% 5.18/5.63 ==> one }.
% 5.18/5.63 substitution0:
% 5.18/5.63 end
% 5.18/5.63 permutation0:
% 5.18/5.63 0 ==> 0
% 5.18/5.63 end
% 5.18/5.63
% 5.18/5.63 eqswap: (20602) {G0,W8,D3,L2,V2,M2} { one ==> addition( X, Y ), ! alpha1(
% 5.18/5.63 X, Y ) }.
% 5.18/5.63 parent0[1]: (19) {G0,W8,D3,L2,V2,M2} I { ! alpha1( X, Y ), addition( X, Y )
% 5.18/5.63 ==> one }.
% 5.18/5.63 substitution0:
% 5.18/5.63 X := X
% 5.18/5.63 Y := Y
% 5.18/5.63 end
% 5.18/5.63
% 5.18/5.63 resolution: (20603) {G1,W6,D4,L1,V0,M1} { one ==> addition( skol3, skol1(
% 5.18/5.63 skol3 ) ) }.
% 5.18/5.63 parent0[1]: (20602) {G0,W8,D3,L2,V2,M2} { one ==> addition( X, Y ), !
% 5.18/5.63 alpha1( X, Y ) }.
% 5.18/5.63 parent1[0]: (187) {G2,W4,D3,L1,V0,M1} R(183,16) { alpha1( skol3, skol1(
% 5.18/5.63 skol3 ) ) }.
% 5.18/5.63 substitution0:
% 5.18/5.63 X := skol3
% 5.18/5.63 Y := skol1( skol3 )
% 5.18/5.63 end
% 5.18/5.63 substitution1:
% 5.18/5.63 end
% 5.18/5.63
% 5.18/5.63 eqswap: (20604) {G1,W6,D4,L1,V0,M1} { addition( skol3, skol1( skol3 ) )
% 5.18/5.63 ==> one }.
% 5.18/5.63 parent0[0]: (20603) {G1,W6,D4,L1,V0,M1} { one ==> addition( skol3, skol1(
% 5.18/5.63 skol3 ) ) }.
% 5.18/5.63 substitution0:
% 5.18/5.63 end
% 5.18/5.63
% 5.18/5.63 subsumption: (263) {G3,W6,D4,L1,V0,M1} R(19,187) { addition( skol3, skol1(
% 5.18/5.63 skol3 ) ) ==> one }.
% 5.18/5.63 parent0: (20604) {G1,W6,D4,L1,V0,M1} { addition( skol3, skol1( skol3 ) )
% 5.18/5.63 ==> one }.
% 5.18/5.63 substitution0:
% 5.18/5.63 end
% 5.18/5.63 permutation0:
% 5.18/5.63 0 ==> 0
% 5.18/5.63 end
% 5.18/5.63
% 5.18/5.63 paramod: (20608) {G2,W16,D6,L1,V0,M1} { ! addition( multiplication( skol2
% 5.18/5.63 , addition( skol3, c( skol3 ) ) ), multiplication( c( skol2 ), addition(
% 5.18/5.63 skol3, c( skol3 ) ) ) ) ==> one }.
% 5.18/5.63 parent0[0]: (50) {G1,W17,D5,L1,V4,M1} P(7,1) { addition( addition( T,
% 5.18/5.63 multiplication( X, Y ) ), multiplication( X, Z ) ) ==> addition( T,
% 5.18/5.63 multiplication( X, addition( Y, Z ) ) ) }.
% 5.18/5.63 parent1[0; 2]: (28) {G1,W19,D7,L1,V0,M1} I;d(7) { ! addition( addition(
% 5.18/5.63 multiplication( skol2, addition( skol3, c( skol3 ) ) ), multiplication( c
% 5.18/5.63 ( skol2 ), skol3 ) ), multiplication( c( skol2 ), c( skol3 ) ) ) ==> one
% 5.18/5.63 }.
% 5.18/5.63 substitution0:
% 5.18/5.63 X := c( skol2 )
% 5.18/5.63 Y := skol3
% 5.18/5.63 Z := c( skol3 )
% 5.18/5.63 T := multiplication( skol2, addition( skol3, c( skol3 ) ) )
% 5.18/5.63 end
% 5.18/5.63 substitution1:
% 5.18/5.63 end
% 5.18/5.63
% 5.18/5.63 paramod: (20609) {G1,W11,D5,L1,V0,M1} { ! multiplication( addition( skol2
% 5.18/5.63 , c( skol2 ) ), addition( skol3, c( skol3 ) ) ) ==> one }.
% 5.18/5.63 parent0[0]: (8) {G0,W13,D4,L1,V3,M1} I { addition( multiplication( X, Z ),
% 5.18/5.63 multiplication( Y, Z ) ) ==> multiplication( addition( X, Y ), Z ) }.
% 5.18/5.63 parent1[0; 2]: (20608) {G2,W16,D6,L1,V0,M1} { ! addition( multiplication(
% 5.18/5.63 skol2, addition( skol3, c( skol3 ) ) ), multiplication( c( skol2 ),
% 5.18/5.63 addition( skol3, c( skol3 ) ) ) ) ==> one }.
% 5.18/5.63 substitution0:
% 5.18/5.63 X := skol2
% 5.18/5.63 Y := c( skol2 )
% 5.18/5.63 Z := addition( skol3, c( skol3 ) )
% 5.18/5.63 end
% 5.18/5.63 substitution1:
% 5.18/5.63 end
% 5.18/5.63
% 5.18/5.63 subsumption: (513) {G2,W11,D5,L1,V0,M1} S(28);d(50);d(8) { ! multiplication
% 5.18/5.63 ( addition( skol2, c( skol2 ) ), addition( skol3, c( skol3 ) ) ) ==> one
% 5.18/5.63 }.
% 5.18/5.63 parent0: (20609) {G1,W11,D5,L1,V0,M1} { ! multiplication( addition( skol2
% 5.18/5.63 , c( skol2 ) ), addition( skol3, c( skol3 ) ) ) ==> one }.
% 5.18/5.63 substitution0:
% 5.18/5.63 end
% 5.18/5.63 permutation0:
% 5.18/5.63 0 ==> 0
% 5.18/5.63 end
% 5.18/5.63
% 5.18/5.63 eqswap: (20611) {G3,W6,D4,L1,V0,M1} { one ==> addition( skol2, skol1(
% 5.18/5.63 skol2 ) ) }.
% 5.18/5.63 parent0[0]: (262) {G3,W6,D4,L1,V0,M1} R(19,191) { addition( skol2, skol1(
% 5.18/5.63 skol2 ) ) ==> one }.
% 5.18/5.63 substitution0:
% 5.18/5.63 end
% 5.18/5.63
% 5.18/5.63 paramod: (20612) {G1,W6,D4,L1,V0,M1} { one ==> addition( skol1( skol2 ),
% 5.18/5.63 skol2 ) }.
% 5.18/5.63 parent0[0]: (0) {G0,W7,D3,L1,V2,M1} I { addition( X, Y ) = addition( Y, X )
% 5.18/5.63 }.
% 5.18/5.63 parent1[0; 2]: (20611) {G3,W6,D4,L1,V0,M1} { one ==> addition( skol2,
% 5.18/5.63 skol1( skol2 ) ) }.
% 5.18/5.63 substitution0:
% 5.18/5.63 X := skol2
% 5.18/5.63 Y := skol1( skol2 )
% 5.18/5.63 end
% 5.18/5.63 substitution1:
% 5.18/5.63 end
% 5.18/5.63
% 5.18/5.63 eqswap: (20615) {G1,W6,D4,L1,V0,M1} { addition( skol1( skol2 ), skol2 )
% 5.18/5.63 ==> one }.
% 5.18/5.63 parent0[0]: (20612) {G1,W6,D4,L1,V0,M1} { one ==> addition( skol1( skol2 )
% 5.18/5.63 , skol2 ) }.
% 5.18/5.63 substitution0:
% 5.18/5.63 end
% 5.18/5.63
% 5.18/5.63 subsumption: (2032) {G4,W6,D4,L1,V0,M1} P(262,0) { addition( skol1( skol2 )
% 5.18/5.63 , skol2 ) ==> one }.
% 5.18/5.63 parent0: (20615) {G1,W6,D4,L1,V0,M1} { addition( skol1( skol2 ), skol2 )
% 5.18/5.63 ==> one }.
% 5.18/5.63 substitution0:
% 5.18/5.63 end
% 5.18/5.63 permutation0:
% 5.18/5.63 0 ==> 0
% 5.18/5.63 end
% 5.18/5.63
% 5.18/5.63 eqswap: (20616) {G4,W6,D4,L1,V0,M1} { one ==> addition( skol1( skol2 ),
% 5.18/5.63 skol2 ) }.
% 5.18/5.63 parent0[0]: (2032) {G4,W6,D4,L1,V0,M1} P(262,0) { addition( skol1( skol2 )
% 5.18/5.63 , skol2 ) ==> one }.
% 5.18/5.63 substitution0:
% 5.18/5.63 end
% 5.18/5.63
% 5.18/5.63 eqswap: (20618) {G0,W13,D3,L3,V2,M3} { ! one ==> addition( X, Y ), !
% 5.18/5.63 multiplication( Y, X ) ==> zero, alpha1( X, Y ) }.
% 5.18/5.63 parent0[1]: (20) {G0,W13,D3,L3,V2,M3} I { ! multiplication( Y, X ) ==> zero
% 5.18/5.63 , ! addition( X, Y ) ==> one, alpha1( X, Y ) }.
% 5.18/5.63 substitution0:
% 5.18/5.63 X := X
% 5.18/5.63 Y := Y
% 5.18/5.63 end
% 5.18/5.63
% 5.18/5.63 eqswap: (20619) {G0,W13,D3,L3,V2,M3} { ! zero ==> multiplication( X, Y ),
% 5.18/5.63 ! one ==> addition( Y, X ), alpha1( Y, X ) }.
% 5.18/5.63 parent0[1]: (20618) {G0,W13,D3,L3,V2,M3} { ! one ==> addition( X, Y ), !
% 5.18/5.63 multiplication( Y, X ) ==> zero, alpha1( X, Y ) }.
% 5.18/5.63 substitution0:
% 5.18/5.63 X := Y
% 5.18/5.63 Y := X
% 5.18/5.63 end
% 5.18/5.63
% 5.18/5.63 resolution: (20621) {G1,W10,D4,L2,V0,M2} { ! zero ==> multiplication(
% 5.18/5.63 skol2, skol1( skol2 ) ), alpha1( skol1( skol2 ), skol2 ) }.
% 5.18/5.63 parent0[1]: (20619) {G0,W13,D3,L3,V2,M3} { ! zero ==> multiplication( X, Y
% 5.18/5.63 ), ! one ==> addition( Y, X ), alpha1( Y, X ) }.
% 5.18/5.63 parent1[0]: (20616) {G4,W6,D4,L1,V0,M1} { one ==> addition( skol1( skol2 )
% 5.18/5.63 , skol2 ) }.
% 5.18/5.63 substitution0:
% 5.18/5.63 X := skol2
% 5.18/5.63 Y := skol1( skol2 )
% 5.18/5.63 end
% 5.18/5.63 substitution1:
% 5.18/5.63 end
% 5.18/5.63
% 5.18/5.63 paramod: (20622) {G2,W7,D3,L2,V0,M2} { ! zero ==> zero, alpha1( skol1(
% 5.18/5.63 skol2 ), skol2 ) }.
% 5.18/5.63 parent0[0]: (194) {G2,W6,D4,L1,V0,M1} R(15,184) { multiplication( skol2,
% 5.18/5.63 skol1( skol2 ) ) ==> zero }.
% 5.18/5.63 parent1[0; 3]: (20621) {G1,W10,D4,L2,V0,M2} { ! zero ==> multiplication(
% 5.18/5.63 skol2, skol1( skol2 ) ), alpha1( skol1( skol2 ), skol2 ) }.
% 5.18/5.63 substitution0:
% 5.18/5.63 end
% 5.18/5.63 substitution1:
% 5.18/5.63 end
% 5.18/5.63
% 5.18/5.63 eqrefl: (20623) {G0,W4,D3,L1,V0,M1} { alpha1( skol1( skol2 ), skol2 ) }.
% 5.18/5.63 parent0[0]: (20622) {G2,W7,D3,L2,V0,M2} { ! zero ==> zero, alpha1( skol1(
% 5.18/5.63 skol2 ), skol2 ) }.
% 5.18/5.63 substitution0:
% 5.18/5.63 end
% 5.18/5.63
% 5.18/5.63 subsumption: (2076) {G5,W4,D3,L1,V0,M1} R(2032,20);d(194);q { alpha1( skol1
% 5.18/5.63 ( skol2 ), skol2 ) }.
% 5.18/5.63 parent0: (20623) {G0,W4,D3,L1,V0,M1} { alpha1( skol1( skol2 ), skol2 ) }.
% 5.18/5.63 substitution0:
% 5.18/5.63 end
% 5.18/5.63 permutation0:
% 5.18/5.63 0 ==> 0
% 5.18/5.63 end
% 5.18/5.63
% 5.18/5.63 eqswap: (20624) {G0,W11,D3,L3,V2,M3} { ! zero ==> multiplication( X, Y ),
% 5.18/5.63 ! alpha1( X, Y ), complement( Y, X ) }.
% 5.18/5.63 parent0[0]: (17) {G0,W11,D3,L3,V2,M3} I { ! multiplication( X, Y ) ==> zero
% 5.18/5.63 , ! alpha1( X, Y ), complement( Y, X ) }.
% 5.18/5.63 substitution0:
% 5.18/5.63 X := X
% 5.18/5.63 Y := Y
% 5.18/5.63 end
% 5.18/5.63
% 5.18/5.63 resolution: (20626) {G1,W10,D4,L2,V0,M2} { ! zero ==> multiplication(
% 5.18/5.63 skol1( skol2 ), skol2 ), complement( skol2, skol1( skol2 ) ) }.
% 5.18/5.63 parent0[1]: (20624) {G0,W11,D3,L3,V2,M3} { ! zero ==> multiplication( X, Y
% 5.18/5.63 ), ! alpha1( X, Y ), complement( Y, X ) }.
% 5.18/5.63 parent1[0]: (2076) {G5,W4,D3,L1,V0,M1} R(2032,20);d(194);q { alpha1( skol1
% 5.18/5.63 ( skol2 ), skol2 ) }.
% 5.18/5.63 substitution0:
% 5.18/5.63 X := skol1( skol2 )
% 5.18/5.63 Y := skol2
% 5.18/5.63 end
% 5.18/5.63 substitution1:
% 5.18/5.63 end
% 5.18/5.63
% 5.18/5.63 paramod: (20627) {G2,W7,D3,L2,V0,M2} { ! zero ==> zero, complement( skol2
% 5.18/5.63 , skol1( skol2 ) ) }.
% 5.18/5.63 parent0[0]: (236) {G3,W6,D4,L1,V0,M1} R(18,191) { multiplication( skol1(
% 5.18/5.63 skol2 ), skol2 ) ==> zero }.
% 5.18/5.63 parent1[0; 3]: (20626) {G1,W10,D4,L2,V0,M2} { ! zero ==> multiplication(
% 5.18/5.63 skol1( skol2 ), skol2 ), complement( skol2, skol1( skol2 ) ) }.
% 5.18/5.63 substitution0:
% 5.18/5.63 end
% 5.18/5.63 substitution1:
% 5.18/5.63 end
% 5.18/5.63
% 5.18/5.63 eqrefl: (20628) {G0,W4,D3,L1,V0,M1} { complement( skol2, skol1( skol2 ) )
% 5.18/5.63 }.
% 5.18/5.63 parent0[0]: (20627) {G2,W7,D3,L2,V0,M2} { ! zero ==> zero, complement(
% 5.18/5.63 skol2, skol1( skol2 ) ) }.
% 5.18/5.63 substitution0:
% 5.18/5.63 end
% 5.18/5.63
% 5.18/5.63 subsumption: (2086) {G6,W4,D3,L1,V0,M1} R(2076,17);d(236);q { complement(
% 5.18/5.63 skol2, skol1( skol2 ) ) }.
% 5.18/5.63 parent0: (20628) {G0,W4,D3,L1,V0,M1} { complement( skol2, skol1( skol2 ) )
% 5.18/5.63 }.
% 5.18/5.63 substitution0:
% 5.18/5.63 end
% 5.18/5.63 permutation0:
% 5.18/5.63 0 ==> 0
% 5.18/5.63 end
% 5.18/5.63
% 5.18/5.63 eqswap: (20629) {G0,W9,D3,L3,V2,M3} { Y = c( X ), ! test( X ), !
% 5.18/5.63 complement( X, Y ) }.
% 5.18/5.63 parent0[2]: (22) {G0,W9,D3,L3,V2,M3} I { ! test( X ), ! complement( X, Y )
% 5.18/5.63 , c( X ) = Y }.
% 5.18/5.63 substitution0:
% 5.18/5.63 X := X
% 5.18/5.63 Y := Y
% 5.18/5.63 end
% 5.18/5.63
% 5.18/5.63 resolution: (20630) {G1,W7,D3,L2,V0,M2} { skol1( skol2 ) = c( skol2 ), !
% 5.18/5.63 test( skol2 ) }.
% 5.18/5.63 parent0[2]: (20629) {G0,W9,D3,L3,V2,M3} { Y = c( X ), ! test( X ), !
% 5.18/5.63 complement( X, Y ) }.
% 5.18/5.63 parent1[0]: (2086) {G6,W4,D3,L1,V0,M1} R(2076,17);d(236);q { complement(
% 5.18/5.63 skol2, skol1( skol2 ) ) }.
% 5.18/5.63 substitution0:
% 5.18/5.63 X := skol2
% 5.18/5.63 Y := skol1( skol2 )
% 5.18/5.63 end
% 5.18/5.63 substitution1:
% 5.18/5.63 end
% 5.18/5.63
% 5.18/5.63 resolution: (20631) {G1,W5,D3,L1,V0,M1} { skol1( skol2 ) = c( skol2 ) }.
% 5.18/5.63 parent0[1]: (20630) {G1,W7,D3,L2,V0,M2} { skol1( skol2 ) = c( skol2 ), !
% 5.18/5.63 test( skol2 ) }.
% 5.18/5.63 parent1[0]: (27) {G0,W2,D2,L1,V0,M1} I { test( skol2 ) }.
% 5.18/5.63 substitution0:
% 5.18/5.63 end
% 5.18/5.63 substitution1:
% 5.18/5.63 end
% 5.18/5.63
% 5.18/5.63 eqswap: (20632) {G1,W5,D3,L1,V0,M1} { c( skol2 ) = skol1( skol2 ) }.
% 5.18/5.63 parent0[0]: (20631) {G1,W5,D3,L1,V0,M1} { skol1( skol2 ) = c( skol2 ) }.
% 5.18/5.63 substitution0:
% 5.18/5.63 end
% 5.18/5.63
% 5.18/5.63 subsumption: (2094) {G7,W5,D3,L1,V0,M1} R(2086,22);r(27) { c( skol2 ) ==>
% 5.18/5.63 skol1( skol2 ) }.
% 5.18/5.63 parent0: (20632) {G1,W5,D3,L1,V0,M1} { c( skol2 ) = skol1( skol2 ) }.
% 5.18/5.63 substitution0:
% 5.18/5.63 end
% 5.18/5.63 permutation0:
% 5.18/5.63 0 ==> 0
% 5.18/5.63 end
% 5.18/5.63
% 5.18/5.63 eqswap: (20633) {G3,W6,D4,L1,V0,M1} { one ==> addition( skol3, skol1(
% 5.18/5.63 skol3 ) ) }.
% 5.18/5.63 parent0[0]: (263) {G3,W6,D4,L1,V0,M1} R(19,187) { addition( skol3, skol1(
% 5.18/5.63 skol3 ) ) ==> one }.
% 5.18/5.63 substitution0:
% 5.18/5.63 end
% 5.18/5.63
% 5.18/5.63 paramod: (20634) {G1,W6,D4,L1,V0,M1} { one ==> addition( skol1( skol3 ),
% 5.18/5.63 skol3 ) }.
% 5.18/5.63 parent0[0]: (0) {G0,W7,D3,L1,V2,M1} I { addition( X, Y ) = addition( Y, X )
% 5.18/5.63 }.
% 5.18/5.63 parent1[0; 2]: (20633) {G3,W6,D4,L1,V0,M1} { one ==> addition( skol3,
% 5.18/5.63 skol1( skol3 ) ) }.
% 5.18/5.63 substitution0:
% 5.18/5.63 X := skol3
% 5.18/5.63 Y := skol1( skol3 )
% 5.18/5.63 end
% 5.18/5.63 substitution1:
% 5.18/5.63 end
% 5.18/5.63
% 5.18/5.63 eqswap: (20637) {G1,W6,D4,L1,V0,M1} { addition( skol1( skol3 ), skol3 )
% 5.18/5.63 ==> one }.
% 5.18/5.63 parent0[0]: (20634) {G1,W6,D4,L1,V0,M1} { one ==> addition( skol1( skol3 )
% 5.18/5.63 , skol3 ) }.
% 5.18/5.63 substitution0:
% 5.18/5.63 end
% 5.18/5.63
% 5.18/5.63 subsumption: (2513) {G4,W6,D4,L1,V0,M1} P(263,0) { addition( skol1( skol3 )
% 5.18/5.63 , skol3 ) ==> one }.
% 5.18/5.63 parent0: (20637) {G1,W6,D4,L1,V0,M1} { addition( skol1( skol3 ), skol3 )
% 5.18/5.63 ==> one }.
% 5.18/5.63 substitution0:
% 5.18/5.63 end
% 5.18/5.63 permutation0:
% 5.18/5.63 0 ==> 0
% 5.18/5.63 end
% 5.18/5.63
% 5.18/5.63 eqswap: (20638) {G4,W6,D4,L1,V0,M1} { one ==> addition( skol1( skol3 ),
% 5.18/5.63 skol3 ) }.
% 5.18/5.63 parent0[0]: (2513) {G4,W6,D4,L1,V0,M1} P(263,0) { addition( skol1( skol3 )
% 5.18/5.63 , skol3 ) ==> one }.
% 5.18/5.63 substitution0:
% 5.18/5.63 end
% 5.18/5.63
% 5.18/5.63 eqswap: (20640) {G0,W13,D3,L3,V2,M3} { ! one ==> addition( X, Y ), !
% 5.18/5.63 multiplication( Y, X ) ==> zero, alpha1( X, Y ) }.
% 5.18/5.63 parent0[1]: (20) {G0,W13,D3,L3,V2,M3} I { ! multiplication( Y, X ) ==> zero
% 5.18/5.63 , ! addition( X, Y ) ==> one, alpha1( X, Y ) }.
% 5.18/5.63 substitution0:
% 5.18/5.63 X := X
% 5.18/5.63 Y := Y
% 5.18/5.63 end
% 5.18/5.63
% 5.18/5.63 eqswap: (20641) {G0,W13,D3,L3,V2,M3} { ! zero ==> multiplication( X, Y ),
% 5.18/5.63 ! one ==> addition( Y, X ), alpha1( Y, X ) }.
% 5.18/5.63 parent0[1]: (20640) {G0,W13,D3,L3,V2,M3} { ! one ==> addition( X, Y ), !
% 5.18/5.63 multiplication( Y, X ) ==> zero, alpha1( X, Y ) }.
% 5.18/5.63 substitution0:
% 5.18/5.63 X := Y
% 5.18/5.63 Y := X
% 5.18/5.63 end
% 5.18/5.63
% 5.18/5.63 resolution: (20643) {G1,W10,D4,L2,V0,M2} { ! zero ==> multiplication(
% 5.18/5.63 skol3, skol1( skol3 ) ), alpha1( skol1( skol3 ), skol3 ) }.
% 5.18/5.63 parent0[1]: (20641) {G0,W13,D3,L3,V2,M3} { ! zero ==> multiplication( X, Y
% 5.18/5.63 ), ! one ==> addition( Y, X ), alpha1( Y, X ) }.
% 5.18/5.63 parent1[0]: (20638) {G4,W6,D4,L1,V0,M1} { one ==> addition( skol1( skol3 )
% 5.18/5.63 , skol3 ) }.
% 5.18/5.63 substitution0:
% 5.18/5.63 X := skol3
% 5.18/5.63 Y := skol1( skol3 )
% 5.18/5.63 end
% 5.18/5.63 substitution1:
% 5.18/5.63 end
% 5.18/5.63
% 5.18/5.63 paramod: (20644) {G2,W7,D3,L2,V0,M2} { ! zero ==> zero, alpha1( skol1(
% 5.18/5.63 skol3 ), skol3 ) }.
% 5.18/5.63 parent0[0]: (195) {G2,W6,D4,L1,V0,M1} R(15,183) { multiplication( skol3,
% 5.18/5.63 skol1( skol3 ) ) ==> zero }.
% 5.18/5.63 parent1[0; 3]: (20643) {G1,W10,D4,L2,V0,M2} { ! zero ==> multiplication(
% 5.18/5.63 skol3, skol1( skol3 ) ), alpha1( skol1( skol3 ), skol3 ) }.
% 5.18/5.63 substitution0:
% 5.18/5.63 end
% 5.18/5.63 substitution1:
% 5.18/5.63 end
% 5.18/5.63
% 5.18/5.63 eqrefl: (20645) {G0,W4,D3,L1,V0,M1} { alpha1( skol1( skol3 ), skol3 ) }.
% 5.18/5.63 parent0[0]: (20644) {G2,W7,D3,L2,V0,M2} { ! zero ==> zero, alpha1( skol1(
% 5.18/5.63 skol3 ), skol3 ) }.
% 5.18/5.63 substitution0:
% 5.18/5.63 end
% 5.18/5.63
% 5.18/5.63 subsumption: (2548) {G5,W4,D3,L1,V0,M1} R(2513,20);d(195);q { alpha1( skol1
% 5.18/5.63 ( skol3 ), skol3 ) }.
% 5.18/5.63 parent0: (20645) {G0,W4,D3,L1,V0,M1} { alpha1( skol1( skol3 ), skol3 ) }.
% 5.18/5.63 substitution0:
% 5.18/5.63 end
% 5.18/5.63 permutation0:
% 5.18/5.63 0 ==> 0
% 5.18/5.63 end
% 5.18/5.63
% 5.18/5.63 eqswap: (20646) {G0,W11,D3,L3,V2,M3} { ! zero ==> multiplication( X, Y ),
% 5.18/5.63 ! alpha1( X, Y ), complement( Y, X ) }.
% 5.18/5.63 parent0[0]: (17) {G0,W11,D3,L3,V2,M3} I { ! multiplication( X, Y ) ==> zero
% 5.18/5.63 , ! alpha1( X, Y ), complement( Y, X ) }.
% 5.18/5.63 substitution0:
% 5.18/5.63 X := X
% 5.18/5.63 Y := Y
% 5.18/5.63 end
% 5.18/5.63
% 5.18/5.63 resolution: (20648) {G1,W10,D4,L2,V0,M2} { ! zero ==> multiplication(
% 5.18/5.63 skol1( skol3 ), skol3 ), complement( skol3, skol1( skol3 ) ) }.
% 5.18/5.63 parent0[1]: (20646) {G0,W11,D3,L3,V2,M3} { ! zero ==> multiplication( X, Y
% 5.18/5.63 ), ! alpha1( X, Y ), complement( Y, X ) }.
% 5.18/5.63 parent1[0]: (2548) {G5,W4,D3,L1,V0,M1} R(2513,20);d(195);q { alpha1( skol1
% 5.18/5.63 ( skol3 ), skol3 ) }.
% 5.18/5.63 substitution0:
% 5.18/5.63 X := skol1( skol3 )
% 5.18/5.63 Y := skol3
% 5.18/5.63 end
% 5.18/5.63 substitution1:
% 5.18/5.63 end
% 5.18/5.63
% 5.18/5.63 paramod: (20649) {G2,W7,D3,L2,V0,M2} { ! zero ==> zero, complement( skol3
% 5.18/5.63 , skol1( skol3 ) ) }.
% 5.18/5.63 parent0[0]: (237) {G3,W6,D4,L1,V0,M1} R(18,187) { multiplication( skol1(
% 5.18/5.63 skol3 ), skol3 ) ==> zero }.
% 5.18/5.63 parent1[0; 3]: (20648) {G1,W10,D4,L2,V0,M2} { ! zero ==> multiplication(
% 5.18/5.63 skol1( skol3 ), skol3 ), complement( skol3, skol1( skol3 ) ) }.
% 5.18/5.63 substitution0:
% 5.18/5.63 end
% 5.18/5.63 substitution1:
% 5.18/5.63 end
% 5.18/5.63
% 5.18/5.63 eqrefl: (20650) {G0,W4,D3,L1,V0,M1} { complement( skol3, skol1( skol3 ) )
% 5.18/5.63 }.
% 5.18/5.63 parent0[0]: (20649) {G2,W7,D3,L2,V0,M2} { ! zero ==> zero, complement(
% 5.18/5.63 skol3, skol1( skol3 ) ) }.
% 5.18/5.63 substitution0:
% 5.18/5.63 end
% 5.18/5.63
% 5.18/5.63 subsumption: (2563) {G6,W4,D3,L1,V0,M1} R(2548,17);d(237);q { complement(
% 5.18/5.63 skol3, skol1( skol3 ) ) }.
% 5.18/5.63 parent0: (20650) {G0,W4,D3,L1,V0,M1} { complement( skol3, skol1( skol3 ) )
% 5.18/5.63 }.
% 5.18/5.63 substitution0:
% 5.18/5.63 end
% 5.18/5.63 permutation0:
% 5.18/5.63 0 ==> 0
% 5.18/5.63 end
% 5.18/5.63
% 5.18/5.63 eqswap: (20651) {G0,W9,D3,L3,V2,M3} { Y = c( X ), ! test( X ), !
% 5.18/5.63 complement( X, Y ) }.
% 5.18/5.63 parent0[2]: (22) {G0,W9,D3,L3,V2,M3} I { ! test( X ), ! complement( X, Y )
% 5.18/5.63 , c( X ) = Y }.
% 5.18/5.63 substitution0:
% 5.18/5.63 X := X
% 5.18/5.63 Y := Y
% 5.18/5.63 end
% 5.18/5.63
% 5.18/5.63 resolution: (20652) {G1,W7,D3,L2,V0,M2} { skol1( skol3 ) = c( skol3 ), !
% 5.18/5.63 test( skol3 ) }.
% 5.18/5.63 parent0[2]: (20651) {G0,W9,D3,L3,V2,M3} { Y = c( X ), ! test( X ), !
% 5.18/5.63 complement( X, Y ) }.
% 5.18/5.63 parent1[0]: (2563) {G6,W4,D3,L1,V0,M1} R(2548,17);d(237);q { complement(
% 5.18/5.63 skol3, skol1( skol3 ) ) }.
% 5.18/5.63 substitution0:
% 5.18/5.63 X := skol3
% 5.18/5.63 Y := skol1( skol3 )
% 5.18/5.63 end
% 5.18/5.63 substitution1:
% 5.18/5.63 end
% 5.18/5.63
% 5.18/5.63 resolution: (20653) {G1,W5,D3,L1,V0,M1} { skol1( skol3 ) = c( skol3 ) }.
% 5.18/5.63 parent0[1]: (20652) {G1,W7,D3,L2,V0,M2} { skol1( skol3 ) = c( skol3 ), !
% 5.18/5.63 test( skol3 ) }.
% 5.18/5.63 parent1[0]: (26) {G0,W2,D2,L1,V0,M1} I { test( skol3 ) }.
% 5.18/5.63 substitution0:
% 5.18/5.63 end
% 5.18/5.63 substitution1:
% 5.18/5.63 end
% 5.18/5.63
% 5.18/5.63 eqswap: (20654) {G1,W5,D3,L1,V0,M1} { c( skol3 ) = skol1( skol3 ) }.
% 5.18/5.63 parent0[0]: (20653) {G1,W5,D3,L1,V0,M1} { skol1( skol3 ) = c( skol3 ) }.
% 5.18/5.63 substitution0:
% 5.18/5.63 end
% 5.18/5.63
% 5.18/5.63 subsumption: (2567) {G7,W5,D3,L1,V0,M1} R(2563,22);r(26) { c( skol3 ) ==>
% 5.18/5.63 skol1( skol3 ) }.
% 5.18/5.63 parent0: (20654) {G1,W5,D3,L1,V0,M1} { c( skol3 ) = skol1( skol3 ) }.
% 5.18/5.63 substitution0:
% 5.18/5.63 end
% 5.18/5.63 permutation0:
% 5.18/5.63 0 ==> 0
% 5.18/5.63 end
% 5.18/5.63
% 5.18/5.63 paramod: (20661) {G3,W11,D5,L1,V0,M1} { ! multiplication( addition( skol2
% 5.18/5.63 , skol1( skol2 ) ), addition( skol3, c( skol3 ) ) ) ==> one }.
% 5.18/5.63 parent0[0]: (2094) {G7,W5,D3,L1,V0,M1} R(2086,22);r(27) { c( skol2 ) ==>
% 5.18/5.63 skol1( skol2 ) }.
% 5.18/5.63 parent1[0; 5]: (513) {G2,W11,D5,L1,V0,M1} S(28);d(50);d(8) { !
% 5.18/5.63 multiplication( addition( skol2, c( skol2 ) ), addition( skol3, c( skol3
% 5.18/5.63 ) ) ) ==> one }.
% 5.18/5.63 substitution0:
% 5.18/5.63 end
% 5.18/5.63 substitution1:
% 5.18/5.63 end
% 5.18/5.63
% 5.18/5.63 paramod: (20662) {G4,W8,D5,L1,V0,M1} { ! multiplication( one, addition(
% 5.18/5.63 skol3, c( skol3 ) ) ) ==> one }.
% 5.18/5.63 parent0[0]: (262) {G3,W6,D4,L1,V0,M1} R(19,191) { addition( skol2, skol1(
% 5.18/5.63 skol2 ) ) ==> one }.
% 5.18/5.63 parent1[0; 3]: (20661) {G3,W11,D5,L1,V0,M1} { ! multiplication( addition(
% 5.18/5.63 skol2, skol1( skol2 ) ), addition( skol3, c( skol3 ) ) ) ==> one }.
% 5.18/5.63 substitution0:
% 5.18/5.63 end
% 5.18/5.63 substitution1:
% 5.18/5.63 end
% 5.18/5.63
% 5.18/5.63 paramod: (20663) {G1,W6,D4,L1,V0,M1} { ! addition( skol3, c( skol3 ) ) ==>
% 5.18/5.63 one }.
% 5.18/5.63 parent0[0]: (6) {G0,W5,D3,L1,V1,M1} I { multiplication( one, X ) ==> X }.
% 5.18/5.63 parent1[0; 2]: (20662) {G4,W8,D5,L1,V0,M1} { ! multiplication( one,
% 5.18/5.63 addition( skol3, c( skol3 ) ) ) ==> one }.
% 5.18/5.63 substitution0:
% 5.18/5.63 X := addition( skol3, c( skol3 ) )
% 5.18/5.63 end
% 5.18/5.63 substitution1:
% 5.18/5.63 end
% 5.18/5.63
% 5.18/5.63 paramod: (20664) {G2,W6,D4,L1,V0,M1} { ! addition( skol3, skol1( skol3 ) )
% 5.18/5.63 ==> one }.
% 5.18/5.63 parent0[0]: (2567) {G7,W5,D3,L1,V0,M1} R(2563,22);r(26) { c( skol3 ) ==>
% 5.18/5.63 skol1( skol3 ) }.
% 5.18/5.63 parent1[0; 4]: (20663) {G1,W6,D4,L1,V0,M1} { ! addition( skol3, c( skol3 )
% 5.18/5.63 ) ==> one }.
% 5.18/5.63 substitution0:
% 5.18/5.63 end
% 5.18/5.63 substitution1:
% 5.18/5.63 end
% 5.18/5.63
% 5.18/5.63 paramod: (20665) {G3,W3,D2,L1,V0,M1} { ! one ==> one }.
% 5.18/5.63 parent0[0]: (263) {G3,W6,D4,L1,V0,M1} R(19,187) { addition( skol3, skol1(
% 5.18/5.63 skol3 ) ) ==> one }.
% 5.18/5.63 parent1[0; 2]: (20664) {G2,W6,D4,L1,V0,M1} { ! addition( skol3, skol1(
% 5.18/5.63 skol3 ) ) ==> one }.
% 5.18/5.63 substitution0:
% 5.18/5.63 end
% 5.18/5.63 substitution1:
% 5.18/5.63 end
% 5.18/5.63
% 5.18/5.63 eqrefl: (20666) {G0,W0,D0,L0,V0,M0} { }.
% 5.18/5.63 parent0[0]: (20665) {G3,W3,D2,L1,V0,M1} { ! one ==> one }.
% 5.18/5.63 substitution0:
% 5.18/5.63 end
% 5.18/5.63
% 5.18/5.63 subsumption: (20281) {G8,W0,D0,L0,V0,M0} S(513);d(2094);d(262);d(6);d(2567)
% 5.18/5.63 ;d(263);q { }.
% 5.18/5.63 parent0: (20666) {G0,W0,D0,L0,V0,M0} { }.
% 5.18/5.63 substitution0:
% 5.18/5.63 end
% 5.18/5.63 permutation0:
% 5.18/5.63 end
% 5.18/5.63
% 5.18/5.63 Proof check complete!
% 5.18/5.63
% 5.18/5.63 Memory use:
% 5.18/5.63
% 5.18/5.63 space for terms: 251853
% 5.18/5.63 space for clauses: 937714
% 5.18/5.63
% 5.18/5.63
% 5.18/5.63 clauses generated: 145815
% 5.18/5.63 clauses kept: 20282
% 5.18/5.63 clauses selected: 878
% 5.18/5.63 clauses deleted: 6075
% 5.18/5.63 clauses inuse deleted: 230
% 5.18/5.63
% 5.18/5.63 subsentry: 605508
% 5.18/5.63 literals s-matched: 421543
% 5.18/5.63 literals matched: 413476
% 5.18/5.63 full subsumption: 100946
% 5.18/5.63
% 5.18/5.63 checksum: -1421126502
% 5.18/5.63
% 5.18/5.63
% 5.18/5.63 Bliksem ended
%------------------------------------------------------------------------------