TSTP Solution File: KLE007+4 by Bliksem---1.12
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%------------------------------------------------------------------------------
% File : Bliksem---1.12
% Problem : KLE007+4 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : bliksem %s
% Computer : n032.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 01:36:33 EDT 2022
% Result : Theorem 0.96s 1.27s
% Output : Refutation 0.96s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.08 % Problem : KLE007+4 : TPTP v8.1.0. Released v4.0.0.
% 0.00/0.09 % Command : bliksem %s
% 0.08/0.27 % Computer : n032.cluster.edu
% 0.08/0.27 % Model : x86_64 x86_64
% 0.08/0.27 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.27 % Memory : 8042.1875MB
% 0.08/0.27 % OS : Linux 3.10.0-693.el7.x86_64
% 0.08/0.27 % CPULimit : 300
% 0.08/0.27 % DateTime : Thu Jun 16 13:04:45 EDT 2022
% 0.08/0.27 % CPUTime :
% 0.96/1.27 *** allocated 10000 integers for termspace/termends
% 0.96/1.27 *** allocated 10000 integers for clauses
% 0.96/1.27 *** allocated 10000 integers for justifications
% 0.96/1.27 Bliksem 1.12
% 0.96/1.27
% 0.96/1.27
% 0.96/1.27 Automatic Strategy Selection
% 0.96/1.27
% 0.96/1.27
% 0.96/1.27 Clauses:
% 0.96/1.27
% 0.96/1.27 { addition( X, Y ) = addition( Y, X ) }.
% 0.96/1.27 { addition( Z, addition( Y, X ) ) = addition( addition( Z, Y ), X ) }.
% 0.96/1.27 { addition( X, zero ) = X }.
% 0.96/1.27 { addition( X, X ) = X }.
% 0.96/1.27 { multiplication( X, multiplication( Y, Z ) ) = multiplication(
% 0.96/1.27 multiplication( X, Y ), Z ) }.
% 0.96/1.27 { multiplication( X, one ) = X }.
% 0.96/1.27 { multiplication( one, X ) = X }.
% 0.96/1.27 { multiplication( X, addition( Y, Z ) ) = addition( multiplication( X, Y )
% 0.96/1.27 , multiplication( X, Z ) ) }.
% 0.96/1.27 { multiplication( addition( X, Y ), Z ) = addition( multiplication( X, Z )
% 0.96/1.27 , multiplication( Y, Z ) ) }.
% 0.96/1.27 { multiplication( X, zero ) = zero }.
% 0.96/1.27 { multiplication( zero, X ) = zero }.
% 0.96/1.27 { ! leq( X, Y ), addition( X, Y ) = Y }.
% 0.96/1.27 { ! addition( X, Y ) = Y, leq( X, Y ) }.
% 0.96/1.27 { ! test( X ), complement( skol1( X ), X ) }.
% 0.96/1.27 { ! complement( Y, X ), test( X ) }.
% 0.96/1.27 { ! complement( Y, X ), multiplication( X, Y ) = zero }.
% 0.96/1.27 { ! complement( Y, X ), alpha1( X, Y ) }.
% 0.96/1.27 { ! multiplication( X, Y ) = zero, ! alpha1( X, Y ), complement( Y, X ) }.
% 0.96/1.27 { ! alpha1( X, Y ), multiplication( Y, X ) = zero }.
% 0.96/1.27 { ! alpha1( X, Y ), addition( X, Y ) = one }.
% 0.96/1.27 { ! multiplication( Y, X ) = zero, ! addition( X, Y ) = one, alpha1( X, Y )
% 0.96/1.27 }.
% 0.96/1.27 { ! test( X ), ! c( X ) = Y, complement( X, Y ) }.
% 0.96/1.27 { ! test( X ), ! complement( X, Y ), c( X ) = Y }.
% 0.96/1.27 { test( X ), c( X ) = zero }.
% 0.96/1.27 { ! test( X ), ! test( Y ), c( addition( X, Y ) ) = multiplication( c( X )
% 0.96/1.27 , c( Y ) ) }.
% 0.96/1.27 { ! test( X ), ! test( Y ), c( multiplication( X, Y ) ) = addition( c( X )
% 0.96/1.27 , c( Y ) ) }.
% 0.96/1.27 { test( skol3 ) }.
% 0.96/1.27 { test( skol2 ) }.
% 0.96/1.27 { ! leq( one, addition( multiplication( addition( skol2, c( skol2 ) ),
% 0.96/1.27 skol3 ), multiplication( addition( skol2, c( skol2 ) ), c( skol3 ) ) ) )
% 0.96/1.27 , ! leq( addition( multiplication( addition( skol2, c( skol2 ) ), skol3 )
% 0.96/1.27 , multiplication( addition( skol2, c( skol2 ) ), c( skol3 ) ) ), one ) }
% 0.96/1.27 .
% 0.96/1.27
% 0.96/1.27 percentage equality = 0.470588, percentage horn = 0.965517
% 0.96/1.27 This is a problem with some equality
% 0.96/1.27
% 0.96/1.27
% 0.96/1.27
% 0.96/1.27 Options Used:
% 0.96/1.27
% 0.96/1.27 useres = 1
% 0.96/1.27 useparamod = 1
% 0.96/1.27 useeqrefl = 1
% 0.96/1.27 useeqfact = 1
% 0.96/1.27 usefactor = 1
% 0.96/1.27 usesimpsplitting = 0
% 0.96/1.27 usesimpdemod = 5
% 0.96/1.27 usesimpres = 3
% 0.96/1.27
% 0.96/1.27 resimpinuse = 1000
% 0.96/1.27 resimpclauses = 20000
% 0.96/1.27 substype = eqrewr
% 0.96/1.27 backwardsubs = 1
% 0.96/1.27 selectoldest = 5
% 0.96/1.27
% 0.96/1.27 litorderings [0] = split
% 0.96/1.27 litorderings [1] = extend the termordering, first sorting on arguments
% 0.96/1.27
% 0.96/1.27 termordering = kbo
% 0.96/1.27
% 0.96/1.27 litapriori = 0
% 0.96/1.27 termapriori = 1
% 0.96/1.27 litaposteriori = 0
% 0.96/1.27 termaposteriori = 0
% 0.96/1.27 demodaposteriori = 0
% 0.96/1.27 ordereqreflfact = 0
% 0.96/1.27
% 0.96/1.27 litselect = negord
% 0.96/1.27
% 0.96/1.27 maxweight = 15
% 0.96/1.27 maxdepth = 30000
% 0.96/1.27 maxlength = 115
% 0.96/1.27 maxnrvars = 195
% 0.96/1.27 excuselevel = 1
% 0.96/1.27 increasemaxweight = 1
% 0.96/1.27
% 0.96/1.27 maxselected = 10000000
% 0.96/1.27 maxnrclauses = 10000000
% 0.96/1.27
% 0.96/1.27 showgenerated = 0
% 0.96/1.27 showkept = 0
% 0.96/1.27 showselected = 0
% 0.96/1.27 showdeleted = 0
% 0.96/1.27 showresimp = 1
% 0.96/1.27 showstatus = 2000
% 0.96/1.27
% 0.96/1.27 prologoutput = 0
% 0.96/1.27 nrgoals = 5000000
% 0.96/1.27 totalproof = 1
% 0.96/1.27
% 0.96/1.27 Symbols occurring in the translation:
% 0.96/1.27
% 0.96/1.27 {} [0, 0] (w:1, o:2, a:1, s:1, b:0),
% 0.96/1.27 . [1, 2] (w:1, o:23, a:1, s:1, b:0),
% 0.96/1.27 ! [4, 1] (w:0, o:15, a:1, s:1, b:0),
% 0.96/1.27 = [13, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.96/1.27 ==> [14, 2] (w:1, o:0, a:0, s:1, b:0),
% 0.96/1.27 addition [37, 2] (w:1, o:47, a:1, s:1, b:0),
% 0.96/1.27 zero [39, 0] (w:1, o:9, a:1, s:1, b:0),
% 0.96/1.27 multiplication [40, 2] (w:1, o:49, a:1, s:1, b:0),
% 0.96/1.27 one [41, 0] (w:1, o:10, a:1, s:1, b:0),
% 0.96/1.27 leq [42, 2] (w:1, o:48, a:1, s:1, b:0),
% 0.96/1.27 test [44, 1] (w:1, o:21, a:1, s:1, b:0),
% 0.96/1.27 complement [46, 2] (w:1, o:50, a:1, s:1, b:0),
% 0.96/1.27 c [47, 1] (w:1, o:22, a:1, s:1, b:0),
% 0.96/1.27 alpha1 [48, 2] (w:1, o:51, a:1, s:1, b:1),
% 0.96/1.27 skol1 [49, 1] (w:1, o:20, a:1, s:1, b:1),
% 0.96/1.27 skol2 [50, 0] (w:1, o:13, a:1, s:1, b:1),
% 0.96/1.27 skol3 [51, 0] (w:1, o:14, a:1, s:1, b:1).
% 0.96/1.27
% 0.96/1.27
% 0.96/1.27 Starting Search:
% 0.96/1.27
% 0.96/1.27 *** allocated 15000 integers for clauses
% 0.96/1.27 *** allocated 22500 integers for clauses
% 0.96/1.27 *** allocated 33750 integers for clauses
% 0.96/1.27 *** allocated 50625 integers for clauses
% 0.96/1.27 *** allocated 15000 integers for termspace/termends
% 0.96/1.27 *** allocated 75937 integers for clauses
% 0.96/1.27 Resimplifying inuse:
% 0.96/1.27 Done
% 0.96/1.27
% 0.96/1.27 *** allocated 22500 integers for termspace/termends
% 0.96/1.27 *** allocated 113905 integers for clauses
% 0.96/1.27 *** allocated 33750 integers for termspace/termends
% 0.96/1.27
% 0.96/1.27 Intermediate Status:
% 0.96/1.27 Generated: 12921
% 0.96/1.27 Kept: 2026
% 0.96/1.27 Inuse: 216
% 0.96/1.27 Deleted: 39
% 0.96/1.27 Deletedinuse: 22
% 0.96/1.27
% 0.96/1.27 Resimplifying inuse:
% 0.96/1.27 Done
% 0.96/1.27
% 0.96/1.27 *** allocated 170857 integers for clauses
% 0.96/1.27
% 0.96/1.27 Bliksems!, er is een bewijs:
% 0.96/1.27 % SZS status Theorem
% 0.96/1.27 % SZS output start Refutation
% 0.96/1.27
% 0.96/1.27 (0) {G0,W7,D3,L1,V2,M1} I { addition( X, Y ) = addition( Y, X ) }.
% 0.96/1.27 (3) {G0,W5,D3,L1,V1,M1} I { addition( X, X ) ==> X }.
% 0.96/1.27 (6) {G0,W5,D3,L1,V1,M1} I { multiplication( one, X ) ==> X }.
% 0.96/1.27 (7) {G0,W13,D4,L1,V3,M1} I { addition( multiplication( X, Y ),
% 0.96/1.27 multiplication( X, Z ) ) ==> multiplication( X, addition( Y, Z ) ) }.
% 0.96/1.27 (12) {G0,W8,D3,L2,V2,M2} I { ! addition( X, Y ) ==> Y, leq( X, Y ) }.
% 0.96/1.27 (13) {G0,W6,D3,L2,V1,M2} I { ! test( X ), complement( skol1( X ), X ) }.
% 0.96/1.27 (15) {G0,W8,D3,L2,V2,M2} I { ! complement( Y, X ), multiplication( X, Y )
% 0.96/1.27 ==> zero }.
% 0.96/1.27 (16) {G0,W6,D2,L2,V2,M2} I { ! complement( Y, X ), alpha1( X, Y ) }.
% 0.96/1.27 (17) {G0,W11,D3,L3,V2,M3} I { ! multiplication( X, Y ) ==> zero, ! alpha1(
% 0.96/1.27 X, Y ), complement( Y, X ) }.
% 0.96/1.27 (18) {G0,W8,D3,L2,V2,M2} I { ! alpha1( X, Y ), multiplication( Y, X ) ==>
% 0.96/1.27 zero }.
% 0.96/1.27 (19) {G0,W8,D3,L2,V2,M2} I { ! alpha1( X, Y ), addition( X, Y ) ==> one }.
% 0.96/1.27 (20) {G0,W13,D3,L3,V2,M3} I { ! multiplication( Y, X ) ==> zero, ! addition
% 0.96/1.27 ( X, Y ) ==> one, alpha1( X, Y ) }.
% 0.96/1.27 (22) {G0,W9,D3,L3,V2,M3} I { ! test( X ), ! complement( X, Y ), c( X ) = Y
% 0.96/1.27 }.
% 0.96/1.27 (26) {G0,W2,D2,L1,V0,M1} I { test( skol3 ) }.
% 0.96/1.27 (27) {G0,W2,D2,L1,V0,M1} I { test( skol2 ) }.
% 0.96/1.27 (28) {G1,W22,D5,L2,V0,M2} I;d(7);d(7) { ! leq( one, multiplication(
% 0.96/1.27 addition( skol2, c( skol2 ) ), addition( skol3, c( skol3 ) ) ) ), ! leq(
% 0.96/1.27 multiplication( addition( skol2, c( skol2 ) ), addition( skol3, c( skol3
% 0.96/1.27 ) ) ), one ) }.
% 0.96/1.27 (149) {G1,W3,D2,L1,V1,M1} R(12,3) { leq( X, X ) }.
% 0.96/1.27 (183) {G1,W4,D3,L1,V0,M1} R(13,26) { complement( skol1( skol3 ), skol3 )
% 0.96/1.27 }.
% 0.96/1.27 (184) {G1,W4,D3,L1,V0,M1} R(13,27) { complement( skol1( skol2 ), skol2 )
% 0.96/1.27 }.
% 0.96/1.27 (187) {G2,W4,D3,L1,V0,M1} R(183,16) { alpha1( skol3, skol1( skol3 ) ) }.
% 0.96/1.27 (191) {G2,W4,D3,L1,V0,M1} R(184,16) { alpha1( skol2, skol1( skol2 ) ) }.
% 0.96/1.27 (194) {G2,W6,D4,L1,V0,M1} R(15,184) { multiplication( skol2, skol1( skol2 )
% 0.96/1.27 ) ==> zero }.
% 0.96/1.27 (195) {G2,W6,D4,L1,V0,M1} R(15,183) { multiplication( skol3, skol1( skol3 )
% 0.96/1.27 ) ==> zero }.
% 0.96/1.27 (236) {G3,W6,D4,L1,V0,M1} R(18,191) { multiplication( skol1( skol2 ), skol2
% 0.96/1.27 ) ==> zero }.
% 0.96/1.27 (237) {G3,W6,D4,L1,V0,M1} R(18,187) { multiplication( skol1( skol3 ), skol3
% 0.96/1.27 ) ==> zero }.
% 0.96/1.27 (262) {G3,W6,D4,L1,V0,M1} R(19,191) { addition( skol2, skol1( skol2 ) ) ==>
% 0.96/1.27 one }.
% 0.96/1.27 (263) {G3,W6,D4,L1,V0,M1} R(19,187) { addition( skol3, skol1( skol3 ) ) ==>
% 0.96/1.27 one }.
% 0.96/1.27 (2354) {G4,W6,D4,L1,V0,M1} P(262,0) { addition( skol1( skol2 ), skol2 ) ==>
% 0.96/1.27 one }.
% 0.96/1.27 (2389) {G5,W4,D3,L1,V0,M1} R(2354,20);d(194);q { alpha1( skol1( skol2 ),
% 0.96/1.27 skol2 ) }.
% 0.96/1.27 (2404) {G6,W4,D3,L1,V0,M1} R(2389,17);d(236);q { complement( skol2, skol1(
% 0.96/1.27 skol2 ) ) }.
% 0.96/1.27 (2409) {G7,W5,D3,L1,V0,M1} R(2404,22);r(27) { c( skol2 ) ==> skol1( skol2 )
% 0.96/1.27 }.
% 0.96/1.27 (2709) {G4,W6,D4,L1,V0,M1} P(263,0) { addition( skol1( skol3 ), skol3 ) ==>
% 0.96/1.27 one }.
% 0.96/1.27 (2744) {G5,W4,D3,L1,V0,M1} R(2709,20);d(195);q { alpha1( skol1( skol3 ),
% 0.96/1.27 skol3 ) }.
% 0.96/1.27 (2759) {G6,W4,D3,L1,V0,M1} R(2744,17);d(237);q { complement( skol3, skol1(
% 0.96/1.27 skol3 ) ) }.
% 0.96/1.27 (2764) {G7,W5,D3,L1,V0,M1} R(2759,22);r(26) { c( skol3 ) ==> skol1( skol3 )
% 0.96/1.27 }.
% 0.96/1.27 (2807) {G8,W0,D0,L0,V0,M0} P(2764,28);d(2409);d(2409);d(262);d(262);d(6);d(
% 0.96/1.27 6);d(263);d(263);f;r(149) { }.
% 0.96/1.27
% 0.96/1.27
% 0.96/1.27 % SZS output end Refutation
% 0.96/1.27 found a proof!
% 0.96/1.27
% 0.96/1.27 *** allocated 50625 integers for termspace/termends
% 0.96/1.27
% 0.96/1.27 Unprocessed initial clauses:
% 0.96/1.27
% 0.96/1.27 (2809) {G0,W7,D3,L1,V2,M1} { addition( X, Y ) = addition( Y, X ) }.
% 0.96/1.27 (2810) {G0,W11,D4,L1,V3,M1} { addition( Z, addition( Y, X ) ) = addition(
% 0.96/1.27 addition( Z, Y ), X ) }.
% 0.96/1.27 (2811) {G0,W5,D3,L1,V1,M1} { addition( X, zero ) = X }.
% 0.96/1.27 (2812) {G0,W5,D3,L1,V1,M1} { addition( X, X ) = X }.
% 0.96/1.27 (2813) {G0,W11,D4,L1,V3,M1} { multiplication( X, multiplication( Y, Z ) )
% 0.96/1.27 = multiplication( multiplication( X, Y ), Z ) }.
% 0.96/1.27 (2814) {G0,W5,D3,L1,V1,M1} { multiplication( X, one ) = X }.
% 0.96/1.27 (2815) {G0,W5,D3,L1,V1,M1} { multiplication( one, X ) = X }.
% 0.96/1.27 (2816) {G0,W13,D4,L1,V3,M1} { multiplication( X, addition( Y, Z ) ) =
% 0.96/1.27 addition( multiplication( X, Y ), multiplication( X, Z ) ) }.
% 0.96/1.27 (2817) {G0,W13,D4,L1,V3,M1} { multiplication( addition( X, Y ), Z ) =
% 0.96/1.27 addition( multiplication( X, Z ), multiplication( Y, Z ) ) }.
% 0.96/1.27 (2818) {G0,W5,D3,L1,V1,M1} { multiplication( X, zero ) = zero }.
% 0.96/1.27 (2819) {G0,W5,D3,L1,V1,M1} { multiplication( zero, X ) = zero }.
% 0.96/1.27 (2820) {G0,W8,D3,L2,V2,M2} { ! leq( X, Y ), addition( X, Y ) = Y }.
% 0.96/1.27 (2821) {G0,W8,D3,L2,V2,M2} { ! addition( X, Y ) = Y, leq( X, Y ) }.
% 0.96/1.27 (2822) {G0,W6,D3,L2,V1,M2} { ! test( X ), complement( skol1( X ), X ) }.
% 0.96/1.27 (2823) {G0,W5,D2,L2,V2,M2} { ! complement( Y, X ), test( X ) }.
% 0.96/1.27 (2824) {G0,W8,D3,L2,V2,M2} { ! complement( Y, X ), multiplication( X, Y )
% 0.96/1.27 = zero }.
% 0.96/1.27 (2825) {G0,W6,D2,L2,V2,M2} { ! complement( Y, X ), alpha1( X, Y ) }.
% 0.96/1.27 (2826) {G0,W11,D3,L3,V2,M3} { ! multiplication( X, Y ) = zero, ! alpha1( X
% 0.96/1.27 , Y ), complement( Y, X ) }.
% 0.96/1.27 (2827) {G0,W8,D3,L2,V2,M2} { ! alpha1( X, Y ), multiplication( Y, X ) =
% 0.96/1.27 zero }.
% 0.96/1.27 (2828) {G0,W8,D3,L2,V2,M2} { ! alpha1( X, Y ), addition( X, Y ) = one }.
% 0.96/1.27 (2829) {G0,W13,D3,L3,V2,M3} { ! multiplication( Y, X ) = zero, ! addition
% 0.96/1.27 ( X, Y ) = one, alpha1( X, Y ) }.
% 0.96/1.27 (2830) {G0,W9,D3,L3,V2,M3} { ! test( X ), ! c( X ) = Y, complement( X, Y )
% 0.96/1.27 }.
% 0.96/1.27 (2831) {G0,W9,D3,L3,V2,M3} { ! test( X ), ! complement( X, Y ), c( X ) = Y
% 0.96/1.27 }.
% 0.96/1.27 (2832) {G0,W6,D3,L2,V1,M2} { test( X ), c( X ) = zero }.
% 0.96/1.27 (2833) {G0,W14,D4,L3,V2,M3} { ! test( X ), ! test( Y ), c( addition( X, Y
% 0.96/1.27 ) ) = multiplication( c( X ), c( Y ) ) }.
% 0.96/1.27 (2834) {G0,W14,D4,L3,V2,M3} { ! test( X ), ! test( Y ), c( multiplication
% 0.96/1.27 ( X, Y ) ) = addition( c( X ), c( Y ) ) }.
% 0.96/1.27 (2835) {G0,W2,D2,L1,V0,M1} { test( skol3 ) }.
% 0.96/1.27 (2836) {G0,W2,D2,L1,V0,M1} { test( skol2 ) }.
% 0.96/1.27 (2837) {G0,W32,D6,L2,V0,M2} { ! leq( one, addition( multiplication(
% 0.96/1.27 addition( skol2, c( skol2 ) ), skol3 ), multiplication( addition( skol2,
% 0.96/1.27 c( skol2 ) ), c( skol3 ) ) ) ), ! leq( addition( multiplication( addition
% 0.96/1.27 ( skol2, c( skol2 ) ), skol3 ), multiplication( addition( skol2, c( skol2
% 0.96/1.27 ) ), c( skol3 ) ) ), one ) }.
% 0.96/1.27
% 0.96/1.27
% 0.96/1.27 Total Proof:
% 0.96/1.27
% 0.96/1.27 subsumption: (0) {G0,W7,D3,L1,V2,M1} I { addition( X, Y ) = addition( Y, X
% 0.96/1.27 ) }.
% 0.96/1.27 parent0: (2809) {G0,W7,D3,L1,V2,M1} { addition( X, Y ) = addition( Y, X )
% 0.96/1.27 }.
% 0.96/1.27 substitution0:
% 0.96/1.27 X := X
% 0.96/1.27 Y := Y
% 0.96/1.27 end
% 0.96/1.27 permutation0:
% 0.96/1.27 0 ==> 0
% 0.96/1.27 end
% 0.96/1.27
% 0.96/1.27 subsumption: (3) {G0,W5,D3,L1,V1,M1} I { addition( X, X ) ==> X }.
% 0.96/1.27 parent0: (2812) {G0,W5,D3,L1,V1,M1} { addition( X, X ) = X }.
% 0.96/1.27 substitution0:
% 0.96/1.27 X := X
% 0.96/1.27 end
% 0.96/1.27 permutation0:
% 0.96/1.27 0 ==> 0
% 0.96/1.27 end
% 0.96/1.27
% 0.96/1.27 subsumption: (6) {G0,W5,D3,L1,V1,M1} I { multiplication( one, X ) ==> X }.
% 0.96/1.27 parent0: (2815) {G0,W5,D3,L1,V1,M1} { multiplication( one, X ) = X }.
% 0.96/1.27 substitution0:
% 0.96/1.27 X := X
% 0.96/1.27 end
% 0.96/1.27 permutation0:
% 0.96/1.27 0 ==> 0
% 0.96/1.27 end
% 0.96/1.27
% 0.96/1.27 eqswap: (2853) {G0,W13,D4,L1,V3,M1} { addition( multiplication( X, Y ),
% 0.96/1.27 multiplication( X, Z ) ) = multiplication( X, addition( Y, Z ) ) }.
% 0.96/1.27 parent0[0]: (2816) {G0,W13,D4,L1,V3,M1} { multiplication( X, addition( Y,
% 0.96/1.27 Z ) ) = addition( multiplication( X, Y ), multiplication( X, Z ) ) }.
% 0.96/1.27 substitution0:
% 0.96/1.27 X := X
% 0.96/1.27 Y := Y
% 0.96/1.27 Z := Z
% 0.96/1.27 end
% 0.96/1.27
% 0.96/1.27 subsumption: (7) {G0,W13,D4,L1,V3,M1} I { addition( multiplication( X, Y )
% 0.96/1.27 , multiplication( X, Z ) ) ==> multiplication( X, addition( Y, Z ) ) }.
% 0.96/1.27 parent0: (2853) {G0,W13,D4,L1,V3,M1} { addition( multiplication( X, Y ),
% 0.96/1.27 multiplication( X, Z ) ) = multiplication( X, addition( Y, Z ) ) }.
% 0.96/1.27 substitution0:
% 0.96/1.27 X := X
% 0.96/1.27 Y := Y
% 0.96/1.27 Z := Z
% 0.96/1.27 end
% 0.96/1.27 permutation0:
% 0.96/1.27 0 ==> 0
% 0.96/1.27 end
% 0.96/1.27
% 0.96/1.27 subsumption: (12) {G0,W8,D3,L2,V2,M2} I { ! addition( X, Y ) ==> Y, leq( X
% 0.96/1.27 , Y ) }.
% 0.96/1.27 parent0: (2821) {G0,W8,D3,L2,V2,M2} { ! addition( X, Y ) = Y, leq( X, Y )
% 0.96/1.27 }.
% 0.96/1.27 substitution0:
% 0.96/1.27 X := X
% 0.96/1.27 Y := Y
% 0.96/1.27 end
% 0.96/1.27 permutation0:
% 0.96/1.27 0 ==> 0
% 0.96/1.27 1 ==> 1
% 0.96/1.27 end
% 0.96/1.27
% 0.96/1.27 subsumption: (13) {G0,W6,D3,L2,V1,M2} I { ! test( X ), complement( skol1( X
% 0.96/1.27 ), X ) }.
% 0.96/1.27 parent0: (2822) {G0,W6,D3,L2,V1,M2} { ! test( X ), complement( skol1( X )
% 0.96/1.27 , X ) }.
% 0.96/1.27 substitution0:
% 0.96/1.27 X := X
% 0.96/1.27 end
% 0.96/1.27 permutation0:
% 0.96/1.27 0 ==> 0
% 0.96/1.27 1 ==> 1
% 0.96/1.27 end
% 0.96/1.27
% 0.96/1.27 subsumption: (15) {G0,W8,D3,L2,V2,M2} I { ! complement( Y, X ),
% 0.96/1.27 multiplication( X, Y ) ==> zero }.
% 0.96/1.27 parent0: (2824) {G0,W8,D3,L2,V2,M2} { ! complement( Y, X ), multiplication
% 0.96/1.27 ( X, Y ) = zero }.
% 0.96/1.27 substitution0:
% 0.96/1.27 X := X
% 0.96/1.27 Y := Y
% 0.96/1.27 end
% 0.96/1.27 permutation0:
% 0.96/1.27 0 ==> 0
% 0.96/1.27 1 ==> 1
% 0.96/1.27 end
% 0.96/1.27
% 0.96/1.27 subsumption: (16) {G0,W6,D2,L2,V2,M2} I { ! complement( Y, X ), alpha1( X,
% 0.96/1.27 Y ) }.
% 0.96/1.27 parent0: (2825) {G0,W6,D2,L2,V2,M2} { ! complement( Y, X ), alpha1( X, Y )
% 0.96/1.27 }.
% 0.96/1.27 substitution0:
% 0.96/1.27 X := X
% 0.96/1.27 Y := Y
% 0.96/1.27 end
% 0.96/1.27 permutation0:
% 0.96/1.27 0 ==> 0
% 0.96/1.27 1 ==> 1
% 0.96/1.27 end
% 0.96/1.27
% 0.96/1.27 subsumption: (17) {G0,W11,D3,L3,V2,M3} I { ! multiplication( X, Y ) ==>
% 0.96/1.27 zero, ! alpha1( X, Y ), complement( Y, X ) }.
% 0.96/1.27 parent0: (2826) {G0,W11,D3,L3,V2,M3} { ! multiplication( X, Y ) = zero, !
% 0.96/1.27 alpha1( X, Y ), complement( Y, X ) }.
% 0.96/1.27 substitution0:
% 0.96/1.27 X := X
% 0.96/1.27 Y := Y
% 0.96/1.27 end
% 0.96/1.27 permutation0:
% 0.96/1.27 0 ==> 0
% 0.96/1.27 1 ==> 1
% 0.96/1.27 2 ==> 2
% 0.96/1.27 end
% 0.96/1.27
% 0.96/1.27 subsumption: (18) {G0,W8,D3,L2,V2,M2} I { ! alpha1( X, Y ), multiplication
% 0.96/1.27 ( Y, X ) ==> zero }.
% 0.96/1.27 parent0: (2827) {G0,W8,D3,L2,V2,M2} { ! alpha1( X, Y ), multiplication( Y
% 0.96/1.27 , X ) = zero }.
% 0.96/1.27 substitution0:
% 0.96/1.27 X := X
% 0.96/1.27 Y := Y
% 0.96/1.27 end
% 0.96/1.27 permutation0:
% 0.96/1.27 0 ==> 0
% 0.96/1.27 1 ==> 1
% 0.96/1.27 end
% 0.96/1.27
% 0.96/1.27 subsumption: (19) {G0,W8,D3,L2,V2,M2} I { ! alpha1( X, Y ), addition( X, Y
% 0.96/1.27 ) ==> one }.
% 0.96/1.27 parent0: (2828) {G0,W8,D3,L2,V2,M2} { ! alpha1( X, Y ), addition( X, Y ) =
% 0.96/1.27 one }.
% 0.96/1.27 substitution0:
% 0.96/1.27 X := X
% 0.96/1.27 Y := Y
% 0.96/1.27 end
% 0.96/1.27 permutation0:
% 0.96/1.27 0 ==> 0
% 0.96/1.27 1 ==> 1
% 0.96/1.27 end
% 0.96/1.27
% 0.96/1.27 subsumption: (20) {G0,W13,D3,L3,V2,M3} I { ! multiplication( Y, X ) ==>
% 0.96/1.27 zero, ! addition( X, Y ) ==> one, alpha1( X, Y ) }.
% 0.96/1.27 parent0: (2829) {G0,W13,D3,L3,V2,M3} { ! multiplication( Y, X ) = zero, !
% 0.96/1.27 addition( X, Y ) = one, alpha1( X, Y ) }.
% 0.96/1.27 substitution0:
% 0.96/1.27 X := X
% 0.96/1.27 Y := Y
% 0.96/1.27 end
% 0.96/1.27 permutation0:
% 0.96/1.27 0 ==> 0
% 0.96/1.27 1 ==> 1
% 0.96/1.27 2 ==> 2
% 0.96/1.27 end
% 0.96/1.27
% 0.96/1.27 subsumption: (22) {G0,W9,D3,L3,V2,M3} I { ! test( X ), ! complement( X, Y )
% 0.96/1.27 , c( X ) = Y }.
% 0.96/1.27 parent0: (2831) {G0,W9,D3,L3,V2,M3} { ! test( X ), ! complement( X, Y ), c
% 0.96/1.27 ( X ) = Y }.
% 0.96/1.27 substitution0:
% 0.96/1.27 X := X
% 0.96/1.27 Y := Y
% 0.96/1.27 end
% 0.96/1.27 permutation0:
% 0.96/1.27 0 ==> 0
% 0.96/1.27 1 ==> 1
% 0.96/1.27 2 ==> 2
% 0.96/1.27 end
% 0.96/1.27
% 0.96/1.27 subsumption: (26) {G0,W2,D2,L1,V0,M1} I { test( skol3 ) }.
% 0.96/1.27 parent0: (2835) {G0,W2,D2,L1,V0,M1} { test( skol3 ) }.
% 0.96/1.27 substitution0:
% 0.96/1.27 end
% 0.96/1.27 permutation0:
% 0.96/1.27 0 ==> 0
% 0.96/1.27 end
% 0.96/1.27
% 0.96/1.27 subsumption: (27) {G0,W2,D2,L1,V0,M1} I { test( skol2 ) }.
% 0.96/1.27 parent0: (2836) {G0,W2,D2,L1,V0,M1} { test( skol2 ) }.
% 0.96/1.27 substitution0:
% 0.96/1.27 end
% 0.96/1.27 permutation0:
% 0.96/1.27 0 ==> 0
% 0.96/1.27 end
% 0.96/1.27
% 0.96/1.27 paramod: (3134) {G1,W27,D6,L2,V0,M2} { ! leq( multiplication( addition(
% 0.96/1.27 skol2, c( skol2 ) ), addition( skol3, c( skol3 ) ) ), one ), ! leq( one,
% 0.96/1.27 addition( multiplication( addition( skol2, c( skol2 ) ), skol3 ),
% 0.96/1.27 multiplication( addition( skol2, c( skol2 ) ), c( skol3 ) ) ) ) }.
% 0.96/1.27 parent0[0]: (7) {G0,W13,D4,L1,V3,M1} I { addition( multiplication( X, Y ),
% 0.96/1.27 multiplication( X, Z ) ) ==> multiplication( X, addition( Y, Z ) ) }.
% 0.96/1.27 parent1[1; 2]: (2837) {G0,W32,D6,L2,V0,M2} { ! leq( one, addition(
% 0.96/1.27 multiplication( addition( skol2, c( skol2 ) ), skol3 ), multiplication(
% 0.96/1.27 addition( skol2, c( skol2 ) ), c( skol3 ) ) ) ), ! leq( addition(
% 0.96/1.27 multiplication( addition( skol2, c( skol2 ) ), skol3 ), multiplication(
% 0.96/1.27 addition( skol2, c( skol2 ) ), c( skol3 ) ) ), one ) }.
% 0.96/1.27 substitution0:
% 0.96/1.27 X := addition( skol2, c( skol2 ) )
% 0.96/1.27 Y := skol3
% 0.96/1.27 Z := c( skol3 )
% 0.96/1.27 end
% 0.96/1.27 substitution1:
% 0.96/1.27 end
% 0.96/1.27
% 0.96/1.27 paramod: (3136) {G1,W22,D5,L2,V0,M2} { ! leq( one, multiplication(
% 0.96/1.27 addition( skol2, c( skol2 ) ), addition( skol3, c( skol3 ) ) ) ), ! leq(
% 0.96/1.27 multiplication( addition( skol2, c( skol2 ) ), addition( skol3, c( skol3
% 0.96/1.27 ) ) ), one ) }.
% 0.96/1.27 parent0[0]: (7) {G0,W13,D4,L1,V3,M1} I { addition( multiplication( X, Y ),
% 0.96/1.27 multiplication( X, Z ) ) ==> multiplication( X, addition( Y, Z ) ) }.
% 0.96/1.27 parent1[1; 3]: (3134) {G1,W27,D6,L2,V0,M2} { ! leq( multiplication(
% 0.96/1.27 addition( skol2, c( skol2 ) ), addition( skol3, c( skol3 ) ) ), one ), !
% 0.96/1.27 leq( one, addition( multiplication( addition( skol2, c( skol2 ) ), skol3
% 0.96/1.27 ), multiplication( addition( skol2, c( skol2 ) ), c( skol3 ) ) ) ) }.
% 0.96/1.27 substitution0:
% 0.96/1.27 X := addition( skol2, c( skol2 ) )
% 0.96/1.27 Y := skol3
% 0.96/1.27 Z := c( skol3 )
% 0.96/1.27 end
% 0.96/1.27 substitution1:
% 0.96/1.27 end
% 0.96/1.27
% 0.96/1.27 subsumption: (28) {G1,W22,D5,L2,V0,M2} I;d(7);d(7) { ! leq( one,
% 0.96/1.27 multiplication( addition( skol2, c( skol2 ) ), addition( skol3, c( skol3
% 0.96/1.27 ) ) ) ), ! leq( multiplication( addition( skol2, c( skol2 ) ), addition
% 0.96/1.27 ( skol3, c( skol3 ) ) ), one ) }.
% 0.96/1.27 parent0: (3136) {G1,W22,D5,L2,V0,M2} { ! leq( one, multiplication(
% 0.96/1.27 addition( skol2, c( skol2 ) ), addition( skol3, c( skol3 ) ) ) ), ! leq(
% 0.96/1.27 multiplication( addition( skol2, c( skol2 ) ), addition( skol3, c( skol3
% 0.96/1.27 ) ) ), one ) }.
% 0.96/1.27 substitution0:
% 0.96/1.27 end
% 0.96/1.27 permutation0:
% 0.96/1.27 0 ==> 0
% 0.96/1.27 1 ==> 1
% 0.96/1.27 end
% 0.96/1.27
% 0.96/1.27 eqswap: (3137) {G0,W8,D3,L2,V2,M2} { ! Y ==> addition( X, Y ), leq( X, Y )
% 0.96/1.27 }.
% 0.96/1.27 parent0[0]: (12) {G0,W8,D3,L2,V2,M2} I { ! addition( X, Y ) ==> Y, leq( X,
% 0.96/1.27 Y ) }.
% 0.96/1.27 substitution0:
% 0.96/1.27 X := X
% 0.96/1.27 Y := Y
% 0.96/1.27 end
% 0.96/1.27
% 0.96/1.27 eqswap: (3138) {G0,W5,D3,L1,V1,M1} { X ==> addition( X, X ) }.
% 0.96/1.27 parent0[0]: (3) {G0,W5,D3,L1,V1,M1} I { addition( X, X ) ==> X }.
% 0.96/1.27 substitution0:
% 0.96/1.27 X := X
% 0.96/1.27 end
% 0.96/1.27
% 0.96/1.27 resolution: (3139) {G1,W3,D2,L1,V1,M1} { leq( X, X ) }.
% 0.96/1.27 parent0[0]: (3137) {G0,W8,D3,L2,V2,M2} { ! Y ==> addition( X, Y ), leq( X
% 0.96/1.27 , Y ) }.
% 0.96/1.27 parent1[0]: (3138) {G0,W5,D3,L1,V1,M1} { X ==> addition( X, X ) }.
% 0.96/1.27 substitution0:
% 0.96/1.27 X := X
% 0.96/1.27 Y := X
% 0.96/1.27 end
% 0.96/1.27 substitution1:
% 0.96/1.27 X := X
% 0.96/1.27 end
% 0.96/1.27
% 0.96/1.27 subsumption: (149) {G1,W3,D2,L1,V1,M1} R(12,3) { leq( X, X ) }.
% 0.96/1.27 parent0: (3139) {G1,W3,D2,L1,V1,M1} { leq( X, X ) }.
% 0.96/1.27 substitution0:
% 0.96/1.27 X := X
% 0.96/1.27 end
% 0.96/1.27 permutation0:
% 0.96/1.27 0 ==> 0
% 0.96/1.27 end
% 0.96/1.27
% 0.96/1.27 resolution: (3140) {G1,W4,D3,L1,V0,M1} { complement( skol1( skol3 ), skol3
% 0.96/1.27 ) }.
% 0.96/1.27 parent0[0]: (13) {G0,W6,D3,L2,V1,M2} I { ! test( X ), complement( skol1( X
% 0.96/1.27 ), X ) }.
% 0.96/1.27 parent1[0]: (26) {G0,W2,D2,L1,V0,M1} I { test( skol3 ) }.
% 0.96/1.27 substitution0:
% 0.96/1.27 X := skol3
% 0.96/1.27 end
% 0.96/1.27 substitution1:
% 0.96/1.27 end
% 0.96/1.27
% 0.96/1.27 subsumption: (183) {G1,W4,D3,L1,V0,M1} R(13,26) { complement( skol1( skol3
% 0.96/1.27 ), skol3 ) }.
% 0.96/1.27 parent0: (3140) {G1,W4,D3,L1,V0,M1} { complement( skol1( skol3 ), skol3 )
% 0.96/1.27 }.
% 0.96/1.27 substitution0:
% 0.96/1.27 end
% 0.96/1.27 permutation0:
% 0.96/1.27 0 ==> 0
% 0.96/1.27 end
% 0.96/1.27
% 0.96/1.27 resolution: (3141) {G1,W4,D3,L1,V0,M1} { complement( skol1( skol2 ), skol2
% 0.96/1.27 ) }.
% 0.96/1.27 parent0[0]: (13) {G0,W6,D3,L2,V1,M2} I { ! test( X ), complement( skol1( X
% 0.96/1.27 ), X ) }.
% 0.96/1.27 parent1[0]: (27) {G0,W2,D2,L1,V0,M1} I { test( skol2 ) }.
% 0.96/1.27 substitution0:
% 0.96/1.27 X := skol2
% 0.96/1.27 end
% 0.96/1.27 substitution1:
% 0.96/1.27 end
% 0.96/1.27
% 0.96/1.27 subsumption: (184) {G1,W4,D3,L1,V0,M1} R(13,27) { complement( skol1( skol2
% 0.96/1.27 ), skol2 ) }.
% 0.96/1.27 parent0: (3141) {G1,W4,D3,L1,V0,M1} { complement( skol1( skol2 ), skol2 )
% 0.96/1.27 }.
% 0.96/1.27 substitution0:
% 0.96/1.27 end
% 0.96/1.27 permutation0:
% 0.96/1.27 0 ==> 0
% 0.96/1.27 end
% 0.96/1.27
% 0.96/1.27 resolution: (3142) {G1,W4,D3,L1,V0,M1} { alpha1( skol3, skol1( skol3 ) )
% 0.96/1.27 }.
% 0.96/1.27 parent0[0]: (16) {G0,W6,D2,L2,V2,M2} I { ! complement( Y, X ), alpha1( X, Y
% 0.96/1.27 ) }.
% 0.96/1.27 parent1[0]: (183) {G1,W4,D3,L1,V0,M1} R(13,26) { complement( skol1( skol3 )
% 0.96/1.27 , skol3 ) }.
% 0.96/1.27 substitution0:
% 0.96/1.27 X := skol3
% 0.96/1.27 Y := skol1( skol3 )
% 0.96/1.27 end
% 0.96/1.27 substitution1:
% 0.96/1.27 end
% 0.96/1.27
% 0.96/1.27 subsumption: (187) {G2,W4,D3,L1,V0,M1} R(183,16) { alpha1( skol3, skol1(
% 0.96/1.27 skol3 ) ) }.
% 0.96/1.27 parent0: (3142) {G1,W4,D3,L1,V0,M1} { alpha1( skol3, skol1( skol3 ) ) }.
% 0.96/1.27 substitution0:
% 0.96/1.27 end
% 0.96/1.27 permutation0:
% 0.96/1.27 0 ==> 0
% 0.96/1.27 end
% 0.96/1.27
% 0.96/1.27 resolution: (3143) {G1,W4,D3,L1,V0,M1} { alpha1( skol2, skol1( skol2 ) )
% 0.96/1.27 }.
% 0.96/1.27 parent0[0]: (16) {G0,W6,D2,L2,V2,M2} I { ! complement( Y, X ), alpha1( X, Y
% 0.96/1.27 ) }.
% 0.96/1.27 parent1[0]: (184) {G1,W4,D3,L1,V0,M1} R(13,27) { complement( skol1( skol2 )
% 0.96/1.27 , skol2 ) }.
% 0.96/1.27 substitution0:
% 0.96/1.27 X := skol2
% 0.96/1.27 Y := skol1( skol2 )
% 0.96/1.27 end
% 0.96/1.27 substitution1:
% 0.96/1.27 end
% 0.96/1.27
% 0.96/1.27 subsumption: (191) {G2,W4,D3,L1,V0,M1} R(184,16) { alpha1( skol2, skol1(
% 0.96/1.27 skol2 ) ) }.
% 0.96/1.27 parent0: (3143) {G1,W4,D3,L1,V0,M1} { alpha1( skol2, skol1( skol2 ) ) }.
% 0.96/1.27 substitution0:
% 0.96/1.27 end
% 0.96/1.27 permutation0:
% 0.96/1.27 0 ==> 0
% 0.96/1.27 end
% 0.96/1.27
% 0.96/1.27 eqswap: (3144) {G0,W8,D3,L2,V2,M2} { zero ==> multiplication( X, Y ), !
% 0.96/1.27 complement( Y, X ) }.
% 0.96/1.27 parent0[1]: (15) {G0,W8,D3,L2,V2,M2} I { ! complement( Y, X ),
% 0.96/1.27 multiplication( X, Y ) ==> zero }.
% 0.96/1.27 substitution0:
% 0.96/1.27 X := X
% 0.96/1.27 Y := Y
% 0.96/1.27 end
% 0.96/1.27
% 0.96/1.27 resolution: (3145) {G1,W6,D4,L1,V0,M1} { zero ==> multiplication( skol2,
% 0.96/1.27 skol1( skol2 ) ) }.
% 0.96/1.27 parent0[1]: (3144) {G0,W8,D3,L2,V2,M2} { zero ==> multiplication( X, Y ),
% 0.96/1.27 ! complement( Y, X ) }.
% 0.96/1.27 parent1[0]: (184) {G1,W4,D3,L1,V0,M1} R(13,27) { complement( skol1( skol2 )
% 0.96/1.27 , skol2 ) }.
% 0.96/1.27 substitution0:
% 0.96/1.27 X := skol2
% 0.96/1.27 Y := skol1( skol2 )
% 0.96/1.27 end
% 0.96/1.27 substitution1:
% 0.96/1.27 end
% 0.96/1.27
% 0.96/1.27 eqswap: (3146) {G1,W6,D4,L1,V0,M1} { multiplication( skol2, skol1( skol2 )
% 0.96/1.27 ) ==> zero }.
% 0.96/1.27 parent0[0]: (3145) {G1,W6,D4,L1,V0,M1} { zero ==> multiplication( skol2,
% 0.96/1.27 skol1( skol2 ) ) }.
% 0.96/1.27 substitution0:
% 0.96/1.27 end
% 0.96/1.27
% 0.96/1.27 subsumption: (194) {G2,W6,D4,L1,V0,M1} R(15,184) { multiplication( skol2,
% 0.96/1.27 skol1( skol2 ) ) ==> zero }.
% 0.96/1.27 parent0: (3146) {G1,W6,D4,L1,V0,M1} { multiplication( skol2, skol1( skol2
% 0.96/1.27 ) ) ==> zero }.
% 0.96/1.27 substitution0:
% 0.96/1.27 end
% 0.96/1.27 permutation0:
% 0.96/1.27 0 ==> 0
% 0.96/1.27 end
% 0.96/1.27
% 0.96/1.27 eqswap: (3147) {G0,W8,D3,L2,V2,M2} { zero ==> multiplication( X, Y ), !
% 0.96/1.27 complement( Y, X ) }.
% 0.96/1.27 parent0[1]: (15) {G0,W8,D3,L2,V2,M2} I { ! complement( Y, X ),
% 0.96/1.27 multiplication( X, Y ) ==> zero }.
% 0.96/1.27 substitution0:
% 0.96/1.27 X := X
% 0.96/1.27 Y := Y
% 0.96/1.27 end
% 0.96/1.27
% 0.96/1.27 resolution: (3148) {G1,W6,D4,L1,V0,M1} { zero ==> multiplication( skol3,
% 0.96/1.27 skol1( skol3 ) ) }.
% 0.96/1.27 parent0[1]: (3147) {G0,W8,D3,L2,V2,M2} { zero ==> multiplication( X, Y ),
% 0.96/1.27 ! complement( Y, X ) }.
% 0.96/1.27 parent1[0]: (183) {G1,W4,D3,L1,V0,M1} R(13,26) { complement( skol1( skol3 )
% 0.96/1.27 , skol3 ) }.
% 0.96/1.27 substitution0:
% 0.96/1.27 X := skol3
% 0.96/1.27 Y := skol1( skol3 )
% 0.96/1.27 end
% 0.96/1.27 substitution1:
% 0.96/1.27 end
% 0.96/1.27
% 0.96/1.27 eqswap: (3149) {G1,W6,D4,L1,V0,M1} { multiplication( skol3, skol1( skol3 )
% 0.96/1.27 ) ==> zero }.
% 0.96/1.27 parent0[0]: (3148) {G1,W6,D4,L1,V0,M1} { zero ==> multiplication( skol3,
% 0.96/1.27 skol1( skol3 ) ) }.
% 0.96/1.27 substitution0:
% 0.96/1.27 end
% 0.96/1.27
% 0.96/1.27 subsumption: (195) {G2,W6,D4,L1,V0,M1} R(15,183) { multiplication( skol3,
% 0.96/1.27 skol1( skol3 ) ) ==> zero }.
% 0.96/1.27 parent0: (3149) {G1,W6,D4,L1,V0,M1} { multiplication( skol3, skol1( skol3
% 0.96/1.27 ) ) ==> zero }.
% 0.96/1.27 substitution0:
% 0.96/1.27 end
% 0.96/1.27 permutation0:
% 0.96/1.27 0 ==> 0
% 0.96/1.27 end
% 0.96/1.27
% 0.96/1.27 eqswap: (3150) {G0,W8,D3,L2,V2,M2} { zero ==> multiplication( X, Y ), !
% 0.96/1.27 alpha1( Y, X ) }.
% 0.96/1.27 parent0[1]: (18) {G0,W8,D3,L2,V2,M2} I { ! alpha1( X, Y ), multiplication(
% 0.96/1.27 Y, X ) ==> zero }.
% 0.96/1.27 substitution0:
% 0.96/1.27 X := Y
% 0.96/1.27 Y := X
% 0.96/1.27 end
% 0.96/1.27
% 0.96/1.27 resolution: (3151) {G1,W6,D4,L1,V0,M1} { zero ==> multiplication( skol1(
% 0.96/1.27 skol2 ), skol2 ) }.
% 0.96/1.27 parent0[1]: (3150) {G0,W8,D3,L2,V2,M2} { zero ==> multiplication( X, Y ),
% 0.96/1.27 ! alpha1( Y, X ) }.
% 0.96/1.27 parent1[0]: (191) {G2,W4,D3,L1,V0,M1} R(184,16) { alpha1( skol2, skol1(
% 0.96/1.27 skol2 ) ) }.
% 0.96/1.27 substitution0:
% 0.96/1.27 X := skol1( skol2 )
% 0.96/1.27 Y := skol2
% 0.96/1.27 end
% 0.96/1.27 substitution1:
% 0.96/1.27 end
% 0.96/1.27
% 0.96/1.27 eqswap: (3152) {G1,W6,D4,L1,V0,M1} { multiplication( skol1( skol2 ), skol2
% 0.96/1.27 ) ==> zero }.
% 0.96/1.27 parent0[0]: (3151) {G1,W6,D4,L1,V0,M1} { zero ==> multiplication( skol1(
% 0.96/1.27 skol2 ), skol2 ) }.
% 0.96/1.27 substitution0:
% 0.96/1.27 end
% 0.96/1.27
% 0.96/1.27 subsumption: (236) {G3,W6,D4,L1,V0,M1} R(18,191) { multiplication( skol1(
% 0.96/1.27 skol2 ), skol2 ) ==> zero }.
% 0.96/1.27 parent0: (3152) {G1,W6,D4,L1,V0,M1} { multiplication( skol1( skol2 ),
% 0.96/1.27 skol2 ) ==> zero }.
% 0.96/1.27 substitution0:
% 0.96/1.27 end
% 0.96/1.27 permutation0:
% 0.96/1.27 0 ==> 0
% 0.96/1.27 end
% 0.96/1.27
% 0.96/1.27 eqswap: (3153) {G0,W8,D3,L2,V2,M2} { zero ==> multiplication( X, Y ), !
% 0.96/1.27 alpha1( Y, X ) }.
% 0.96/1.27 parent0[1]: (18) {G0,W8,D3,L2,V2,M2} I { ! alpha1( X, Y ), multiplication(
% 0.96/1.27 Y, X ) ==> zero }.
% 0.96/1.27 substitution0:
% 0.96/1.27 X := Y
% 0.96/1.27 Y := X
% 0.96/1.27 end
% 0.96/1.27
% 0.96/1.27 resolution: (3154) {G1,W6,D4,L1,V0,M1} { zero ==> multiplication( skol1(
% 0.96/1.27 skol3 ), skol3 ) }.
% 0.96/1.27 parent0[1]: (3153) {G0,W8,D3,L2,V2,M2} { zero ==> multiplication( X, Y ),
% 0.96/1.27 ! alpha1( Y, X ) }.
% 0.96/1.27 parent1[0]: (187) {G2,W4,D3,L1,V0,M1} R(183,16) { alpha1( skol3, skol1(
% 0.96/1.27 skol3 ) ) }.
% 0.96/1.27 substitution0:
% 0.96/1.27 X := skol1( skol3 )
% 0.96/1.27 Y := skol3
% 0.96/1.27 end
% 0.96/1.27 substitution1:
% 0.96/1.27 end
% 0.96/1.27
% 0.96/1.27 eqswap: (3155) {G1,W6,D4,L1,V0,M1} { multiplication( skol1( skol3 ), skol3
% 0.96/1.27 ) ==> zero }.
% 0.96/1.27 parent0[0]: (3154) {G1,W6,D4,L1,V0,M1} { zero ==> multiplication( skol1(
% 0.96/1.27 skol3 ), skol3 ) }.
% 0.96/1.27 substitution0:
% 0.96/1.27 end
% 0.96/1.27
% 0.96/1.27 subsumption: (237) {G3,W6,D4,L1,V0,M1} R(18,187) { multiplication( skol1(
% 0.96/1.27 skol3 ), skol3 ) ==> zero }.
% 0.96/1.27 parent0: (3155) {G1,W6,D4,L1,V0,M1} { multiplication( skol1( skol3 ),
% 0.96/1.27 skol3 ) ==> zero }.
% 0.96/1.27 substitution0:
% 0.96/1.27 end
% 0.96/1.27 permutation0:
% 0.96/1.27 0 ==> 0
% 0.96/1.27 end
% 0.96/1.27
% 0.96/1.27 eqswap: (3156) {G0,W8,D3,L2,V2,M2} { one ==> addition( X, Y ), ! alpha1( X
% 0.96/1.27 , Y ) }.
% 0.96/1.27 parent0[1]: (19) {G0,W8,D3,L2,V2,M2} I { ! alpha1( X, Y ), addition( X, Y )
% 0.96/1.27 ==> one }.
% 0.96/1.27 substitution0:
% 0.96/1.27 X := X
% 0.96/1.27 Y := Y
% 0.96/1.27 end
% 0.96/1.27
% 0.96/1.27 resolution: (3157) {G1,W6,D4,L1,V0,M1} { one ==> addition( skol2, skol1(
% 0.96/1.27 skol2 ) ) }.
% 0.96/1.27 parent0[1]: (3156) {G0,W8,D3,L2,V2,M2} { one ==> addition( X, Y ), !
% 0.96/1.27 alpha1( X, Y ) }.
% 0.96/1.27 parent1[0]: (191) {G2,W4,D3,L1,V0,M1} R(184,16) { alpha1( skol2, skol1(
% 0.96/1.27 skol2 ) ) }.
% 0.96/1.27 substitution0:
% 0.96/1.27 X := skol2
% 0.96/1.27 Y := skol1( skol2 )
% 0.96/1.27 end
% 0.96/1.27 substitution1:
% 0.96/1.27 end
% 0.96/1.27
% 0.96/1.27 eqswap: (3158) {G1,W6,D4,L1,V0,M1} { addition( skol2, skol1( skol2 ) ) ==>
% 0.96/1.27 one }.
% 0.96/1.27 parent0[0]: (3157) {G1,W6,D4,L1,V0,M1} { one ==> addition( skol2, skol1(
% 0.96/1.27 skol2 ) ) }.
% 0.96/1.27 substitution0:
% 0.96/1.27 end
% 0.96/1.27
% 0.96/1.27 subsumption: (262) {G3,W6,D4,L1,V0,M1} R(19,191) { addition( skol2, skol1(
% 0.96/1.27 skol2 ) ) ==> one }.
% 0.96/1.27 parent0: (3158) {G1,W6,D4,L1,V0,M1} { addition( skol2, skol1( skol2 ) )
% 0.96/1.27 ==> one }.
% 0.96/1.27 substitution0:
% 0.96/1.27 end
% 0.96/1.27 permutation0:
% 0.96/1.27 0 ==> 0
% 0.96/1.27 end
% 0.96/1.27
% 0.96/1.27 eqswap: (3159) {G0,W8,D3,L2,V2,M2} { one ==> addition( X, Y ), ! alpha1( X
% 0.96/1.27 , Y ) }.
% 0.96/1.27 parent0[1]: (19) {G0,W8,D3,L2,V2,M2} I { ! alpha1( X, Y ), addition( X, Y )
% 0.96/1.27 ==> one }.
% 0.96/1.27 substitution0:
% 0.96/1.27 X := X
% 0.96/1.27 Y := Y
% 0.96/1.27 end
% 0.96/1.27
% 0.96/1.27 resolution: (3160) {G1,W6,D4,L1,V0,M1} { one ==> addition( skol3, skol1(
% 0.96/1.27 skol3 ) ) }.
% 0.96/1.27 parent0[1]: (3159) {G0,W8,D3,L2,V2,M2} { one ==> addition( X, Y ), !
% 0.96/1.27 alpha1( X, Y ) }.
% 0.96/1.27 parent1[0]: (187) {G2,W4,D3,L1,V0,M1} R(183,16) { alpha1( skol3, skol1(
% 0.96/1.27 skol3 ) ) }.
% 0.96/1.27 substitution0:
% 0.96/1.27 X := skol3
% 0.96/1.27 Y := skol1( skol3 )
% 0.96/1.27 end
% 0.96/1.27 substitution1:
% 0.96/1.27 end
% 0.96/1.27
% 0.96/1.27 eqswap: (3161) {G1,W6,D4,L1,V0,M1} { addition( skol3, skol1( skol3 ) ) ==>
% 0.96/1.27 one }.
% 0.96/1.27 parent0[0]: (3160) {G1,W6,D4,L1,V0,M1} { one ==> addition( skol3, skol1(
% 0.96/1.27 skol3 ) ) }.
% 0.96/1.27 substitution0:
% 0.96/1.27 end
% 0.96/1.27
% 0.96/1.27 subsumption: (263) {G3,W6,D4,L1,V0,M1} R(19,187) { addition( skol3, skol1(
% 0.96/1.27 skol3 ) ) ==> one }.
% 0.96/1.27 parent0: (3161) {G1,W6,D4,L1,V0,M1} { addition( skol3, skol1( skol3 ) )
% 0.96/1.27 ==> one }.
% 0.96/1.27 substitution0:
% 0.96/1.27 end
% 0.96/1.27 permutation0:
% 0.96/1.27 0 ==> 0
% 0.96/1.27 end
% 0.96/1.27
% 0.96/1.27 eqswap: (3162) {G3,W6,D4,L1,V0,M1} { one ==> addition( skol2, skol1( skol2
% 0.96/1.27 ) ) }.
% 0.96/1.27 parent0[0]: (262) {G3,W6,D4,L1,V0,M1} R(19,191) { addition( skol2, skol1(
% 0.96/1.27 skol2 ) ) ==> one }.
% 0.96/1.27 substitution0:
% 0.96/1.27 end
% 0.96/1.27
% 0.96/1.27 paramod: (3163) {G1,W6,D4,L1,V0,M1} { one ==> addition( skol1( skol2 ),
% 0.96/1.27 skol2 ) }.
% 0.96/1.27 parent0[0]: (0) {G0,W7,D3,L1,V2,M1} I { addition( X, Y ) = addition( Y, X )
% 0.96/1.27 }.
% 0.96/1.27 parent1[0; 2]: (3162) {G3,W6,D4,L1,V0,M1} { one ==> addition( skol2, skol1
% 0.96/1.27 ( skol2 ) ) }.
% 0.96/1.27 substitution0:
% 0.96/1.27 X := skol2
% 0.96/1.27 Y := skol1( skol2 )
% 0.96/1.27 end
% 0.96/1.27 substitution1:
% 0.96/1.27 end
% 0.96/1.27
% 0.96/1.27 eqswap: (3166) {G1,W6,D4,L1,V0,M1} { addition( skol1( skol2 ), skol2 ) ==>
% 0.96/1.27 one }.
% 0.96/1.27 parent0[0]: (3163) {G1,W6,D4,L1,V0,M1} { one ==> addition( skol1( skol2 )
% 0.96/1.27 , skol2 ) }.
% 0.96/1.27 substitution0:
% 0.96/1.27 end
% 0.96/1.27
% 0.96/1.27 subsumption: (2354) {G4,W6,D4,L1,V0,M1} P(262,0) { addition( skol1( skol2 )
% 0.96/1.27 , skol2 ) ==> one }.
% 0.96/1.27 parent0: (3166) {G1,W6,D4,L1,V0,M1} { addition( skol1( skol2 ), skol2 )
% 0.96/1.27 ==> one }.
% 0.96/1.27 substitution0:
% 0.96/1.27 end
% 0.96/1.27 permutation0:
% 0.96/1.27 0 ==> 0
% 0.96/1.27 end
% 0.96/1.27
% 0.96/1.27 eqswap: (3167) {G4,W6,D4,L1,V0,M1} { one ==> addition( skol1( skol2 ),
% 0.96/1.27 skol2 ) }.
% 0.96/1.27 parent0[0]: (2354) {G4,W6,D4,L1,V0,M1} P(262,0) { addition( skol1( skol2 )
% 0.96/1.27 , skol2 ) ==> one }.
% 0.96/1.27 substitution0:
% 0.96/1.27 end
% 0.96/1.27
% 0.96/1.27 eqswap: (3169) {G0,W13,D3,L3,V2,M3} { ! one ==> addition( X, Y ), !
% 0.96/1.27 multiplication( Y, X ) ==> zero, alpha1( X, Y ) }.
% 0.96/1.27 parent0[1]: (20) {G0,W13,D3,L3,V2,M3} I { ! multiplication( Y, X ) ==> zero
% 0.96/1.27 , ! addition( X, Y ) ==> one, alpha1( X, Y ) }.
% 0.96/1.27 substitution0:
% 0.96/1.27 X := X
% 0.96/1.27 Y := Y
% 0.96/1.27 end
% 0.96/1.27
% 0.96/1.27 eqswap: (3170) {G0,W13,D3,L3,V2,M3} { ! zero ==> multiplication( X, Y ), !
% 0.96/1.27 one ==> addition( Y, X ), alpha1( Y, X ) }.
% 0.96/1.27 parent0[1]: (3169) {G0,W13,D3,L3,V2,M3} { ! one ==> addition( X, Y ), !
% 0.96/1.27 multiplication( Y, X ) ==> zero, alpha1( X, Y ) }.
% 0.96/1.27 substitution0:
% 0.96/1.27 X := Y
% 0.96/1.27 Y := X
% 0.96/1.27 end
% 0.96/1.27
% 0.96/1.27 resolution: (3172) {G1,W10,D4,L2,V0,M2} { ! zero ==> multiplication( skol2
% 0.96/1.27 , skol1( skol2 ) ), alpha1( skol1( skol2 ), skol2 ) }.
% 0.96/1.27 parent0[1]: (3170) {G0,W13,D3,L3,V2,M3} { ! zero ==> multiplication( X, Y
% 0.96/1.27 ), ! one ==> addition( Y, X ), alpha1( Y, X ) }.
% 0.96/1.27 parent1[0]: (3167) {G4,W6,D4,L1,V0,M1} { one ==> addition( skol1( skol2 )
% 0.96/1.27 , skol2 ) }.
% 0.96/1.27 substitution0:
% 0.96/1.27 X := skol2
% 0.96/1.27 Y := skol1( skol2 )
% 0.96/1.27 end
% 0.96/1.27 substitution1:
% 0.96/1.27 end
% 0.96/1.27
% 0.96/1.27 paramod: (3173) {G2,W7,D3,L2,V0,M2} { ! zero ==> zero, alpha1( skol1(
% 0.96/1.27 skol2 ), skol2 ) }.
% 0.96/1.27 parent0[0]: (194) {G2,W6,D4,L1,V0,M1} R(15,184) { multiplication( skol2,
% 0.96/1.27 skol1( skol2 ) ) ==> zero }.
% 0.96/1.27 parent1[0; 3]: (3172) {G1,W10,D4,L2,V0,M2} { ! zero ==> multiplication(
% 0.96/1.27 skol2, skol1( skol2 ) ), alpha1( skol1( skol2 ), skol2 ) }.
% 0.96/1.27 substitution0:
% 0.96/1.27 end
% 0.96/1.27 substitution1:
% 0.96/1.27 end
% 0.96/1.27
% 0.96/1.27 eqrefl: (3174) {G0,W4,D3,L1,V0,M1} { alpha1( skol1( skol2 ), skol2 ) }.
% 0.96/1.27 parent0[0]: (3173) {G2,W7,D3,L2,V0,M2} { ! zero ==> zero, alpha1( skol1(
% 0.96/1.27 skol2 ), skol2 ) }.
% 0.96/1.27 substitution0:
% 0.96/1.27 end
% 0.96/1.27
% 0.96/1.27 subsumption: (2389) {G5,W4,D3,L1,V0,M1} R(2354,20);d(194);q { alpha1( skol1
% 0.96/1.27 ( skol2 ), skol2 ) }.
% 0.96/1.27 parent0: (3174) {G0,W4,D3,L1,V0,M1} { alpha1( skol1( skol2 ), skol2 ) }.
% 0.96/1.27 substitution0:
% 0.96/1.27 end
% 0.96/1.27 permutation0:
% 0.96/1.27 0 ==> 0
% 0.96/1.27 end
% 0.96/1.27
% 0.96/1.27 eqswap: (3175) {G0,W11,D3,L3,V2,M3} { ! zero ==> multiplication( X, Y ), !
% 0.96/1.27 alpha1( X, Y ), complement( Y, X ) }.
% 0.96/1.27 parent0[0]: (17) {G0,W11,D3,L3,V2,M3} I { ! multiplication( X, Y ) ==> zero
% 0.96/1.27 , ! alpha1( X, Y ), complement( Y, X ) }.
% 0.96/1.27 substitution0:
% 0.96/1.27 X := X
% 0.96/1.27 Y := Y
% 0.96/1.27 end
% 0.96/1.27
% 0.96/1.27 resolution: (3177) {G1,W10,D4,L2,V0,M2} { ! zero ==> multiplication( skol1
% 0.96/1.27 ( skol2 ), skol2 ), complement( skol2, skol1( skol2 ) ) }.
% 0.96/1.27 parent0[1]: (3175) {G0,W11,D3,L3,V2,M3} { ! zero ==> multiplication( X, Y
% 0.96/1.27 ), ! alpha1( X, Y ), complement( Y, X ) }.
% 0.96/1.27 parent1[0]: (2389) {G5,W4,D3,L1,V0,M1} R(2354,20);d(194);q { alpha1( skol1
% 0.96/1.27 ( skol2 ), skol2 ) }.
% 0.96/1.27 substitution0:
% 0.96/1.27 X := skol1( skol2 )
% 0.96/1.27 Y := skol2
% 0.96/1.27 end
% 0.96/1.27 substitution1:
% 0.96/1.27 end
% 0.96/1.27
% 0.96/1.27 paramod: (3178) {G2,W7,D3,L2,V0,M2} { ! zero ==> zero, complement( skol2,
% 0.96/1.27 skol1( skol2 ) ) }.
% 0.96/1.27 parent0[0]: (236) {G3,W6,D4,L1,V0,M1} R(18,191) { multiplication( skol1(
% 0.96/1.27 skol2 ), skol2 ) ==> zero }.
% 0.96/1.27 parent1[0; 3]: (3177) {G1,W10,D4,L2,V0,M2} { ! zero ==> multiplication(
% 0.96/1.27 skol1( skol2 ), skol2 ), complement( skol2, skol1( skol2 ) ) }.
% 0.96/1.27 substitution0:
% 0.96/1.27 end
% 0.96/1.27 substitution1:
% 0.96/1.27 end
% 0.96/1.27
% 0.96/1.27 eqrefl: (3179) {G0,W4,D3,L1,V0,M1} { complement( skol2, skol1( skol2 ) )
% 0.96/1.27 }.
% 0.96/1.27 parent0[0]: (3178) {G2,W7,D3,L2,V0,M2} { ! zero ==> zero, complement(
% 0.96/1.27 skol2, skol1( skol2 ) ) }.
% 0.96/1.27 substitution0:
% 0.96/1.27 end
% 0.96/1.27
% 0.96/1.27 subsumption: (2404) {G6,W4,D3,L1,V0,M1} R(2389,17);d(236);q { complement(
% 0.96/1.27 skol2, skol1( skol2 ) ) }.
% 0.96/1.27 parent0: (3179) {G0,W4,D3,L1,V0,M1} { complement( skol2, skol1( skol2 ) )
% 0.96/1.27 }.
% 0.96/1.27 substitution0:
% 0.96/1.27 end
% 0.96/1.27 permutation0:
% 0.96/1.27 0 ==> 0
% 0.96/1.27 end
% 0.96/1.27
% 0.96/1.27 eqswap: (3180) {G0,W9,D3,L3,V2,M3} { Y = c( X ), ! test( X ), ! complement
% 0.96/1.27 ( X, Y ) }.
% 0.96/1.27 parent0[2]: (22) {G0,W9,D3,L3,V2,M3} I { ! test( X ), ! complement( X, Y )
% 0.96/1.27 , c( X ) = Y }.
% 0.96/1.27 substitution0:
% 0.96/1.27 X := X
% 0.96/1.27 Y := Y
% 0.96/1.27 end
% 0.96/1.27
% 0.96/1.27 resolution: (3181) {G1,W7,D3,L2,V0,M2} { skol1( skol2 ) = c( skol2 ), !
% 0.96/1.27 test( skol2 ) }.
% 0.96/1.27 parent0[2]: (3180) {G0,W9,D3,L3,V2,M3} { Y = c( X ), ! test( X ), !
% 0.96/1.27 complement( X, Y ) }.
% 0.96/1.27 parent1[0]: (2404) {G6,W4,D3,L1,V0,M1} R(2389,17);d(236);q { complement(
% 0.96/1.27 skol2, skol1( skol2 ) ) }.
% 0.96/1.27 substitution0:
% 0.96/1.27 X := skol2
% 0.96/1.27 Y := skol1( skol2 )
% 0.96/1.27 end
% 0.96/1.27 substitution1:
% 0.96/1.27 end
% 0.96/1.27
% 0.96/1.27 resolution: (3182) {G1,W5,D3,L1,V0,M1} { skol1( skol2 ) = c( skol2 ) }.
% 0.96/1.27 parent0[1]: (3181) {G1,W7,D3,L2,V0,M2} { skol1( skol2 ) = c( skol2 ), !
% 0.96/1.27 test( skol2 ) }.
% 0.96/1.27 parent1[0]: (27) {G0,W2,D2,L1,V0,M1} I { test( skol2 ) }.
% 0.96/1.27 substitution0:
% 0.96/1.27 end
% 0.96/1.27 substitution1:
% 0.96/1.27 end
% 0.96/1.27
% 0.96/1.27 eqswap: (3183) {G1,W5,D3,L1,V0,M1} { c( skol2 ) = skol1( skol2 ) }.
% 0.96/1.27 parent0[0]: (3182) {G1,W5,D3,L1,V0,M1} { skol1( skol2 ) = c( skol2 ) }.
% 0.96/1.27 substitution0:
% 0.96/1.27 end
% 0.96/1.27
% 0.96/1.27 subsumption: (2409) {G7,W5,D3,L1,V0,M1} R(2404,22);r(27) { c( skol2 ) ==>
% 0.96/1.27 skol1( skol2 ) }.
% 0.96/1.27 parent0: (3183) {G1,W5,D3,L1,V0,M1} { c( skol2 ) = skol1( skol2 ) }.
% 0.96/1.27 substitution0:
% 0.96/1.27 end
% 0.96/1.27 permutation0:
% 0.96/1.27 0 ==> 0
% 0.96/1.27 end
% 0.96/1.27
% 0.96/1.27 eqswap: (3184) {G3,W6,D4,L1,V0,M1} { one ==> addition( skol3, skol1( skol3
% 0.96/1.27 ) ) }.
% 0.96/1.27 parent0[0]: (263) {G3,W6,D4,L1,V0,M1} R(19,187) { addition( skol3, skol1(
% 0.96/1.27 skol3 ) ) ==> one }.
% 0.96/1.27 substitution0:
% 0.96/1.27 end
% 0.96/1.27
% 0.96/1.27 paramod: (3185) {G1,W6,D4,L1,V0,M1} { one ==> addition( skol1( skol3 ),
% 0.96/1.27 skol3 ) }.
% 0.96/1.27 parent0[0]: (0) {G0,W7,D3,L1,V2,M1} I { addition( X, Y ) = addition( Y, X )
% 0.96/1.27 }.
% 0.96/1.27 parent1[0; 2]: (3184) {G3,W6,D4,L1,V0,M1} { one ==> addition( skol3, skol1
% 0.96/1.27 ( skol3 ) ) }.
% 0.96/1.27 substitution0:
% 0.96/1.27 X := skol3
% 0.96/1.27 Y := skol1( skol3 )
% 0.96/1.27 end
% 0.96/1.27 substitution1:
% 0.96/1.27 end
% 0.96/1.27
% 0.96/1.27 eqswap: (3188) {G1,W6,D4,L1,V0,M1} { addition( skol1( skol3 ), skol3 ) ==>
% 0.96/1.27 one }.
% 0.96/1.27 parent0[0]: (3185) {G1,W6,D4,L1,V0,M1} { one ==> addition( skol1( skol3 )
% 0.96/1.27 , skol3 ) }.
% 0.96/1.27 substitution0:
% 0.96/1.27 end
% 0.96/1.27
% 0.96/1.27 subsumption: (2709) {G4,W6,D4,L1,V0,M1} P(263,0) { addition( skol1( skol3 )
% 0.96/1.27 , skol3 ) ==> one }.
% 0.96/1.27 parent0: (3188) {G1,W6,D4,L1,V0,M1} { addition( skol1( skol3 ), skol3 )
% 0.96/1.27 ==> one }.
% 0.96/1.27 substitution0:
% 0.96/1.27 end
% 0.96/1.27 permutation0:
% 0.96/1.27 0 ==> 0
% 0.96/1.27 end
% 0.96/1.27
% 0.96/1.27 eqswap: (3189) {G4,W6,D4,L1,V0,M1} { one ==> addition( skol1( skol3 ),
% 0.96/1.27 skol3 ) }.
% 0.96/1.27 parent0[0]: (2709) {G4,W6,D4,L1,V0,M1} P(263,0) { addition( skol1( skol3 )
% 0.96/1.27 , skol3 ) ==> one }.
% 0.96/1.27 substitution0:
% 0.96/1.27 end
% 0.96/1.27
% 0.96/1.27 eqswap: (3191) {G0,W13,D3,L3,V2,M3} { ! one ==> addition( X, Y ), !
% 0.96/1.27 multiplication( Y, X ) ==> zero, alpha1( X, Y ) }.
% 0.96/1.27 parent0[1]: (20) {G0,W13,D3,L3,V2,M3} I { ! multiplication( Y, X ) ==> zero
% 0.96/1.27 , ! addition( X, Y ) ==> one, alpha1( X, Y ) }.
% 0.96/1.27 substitution0:
% 0.96/1.27 X := X
% 0.96/1.27 Y := Y
% 0.96/1.27 end
% 0.96/1.27
% 0.96/1.27 eqswap: (3192) {G0,W13,D3,L3,V2,M3} { ! zero ==> multiplication( X, Y ), !
% 0.96/1.27 one ==> addition( Y, X ), alpha1( Y, X ) }.
% 0.96/1.27 parent0[1]: (3191) {G0,W13,D3,L3,V2,M3} { ! one ==> addition( X, Y ), !
% 0.96/1.27 multiplication( Y, X ) ==> zero, alpha1( X, Y ) }.
% 0.96/1.27 substitution0:
% 0.96/1.27 X := Y
% 0.96/1.27 Y := X
% 0.96/1.27 end
% 0.96/1.27
% 0.96/1.27 resolution: (3194) {G1,W10,D4,L2,V0,M2} { ! zero ==> multiplication( skol3
% 0.96/1.27 , skol1( skol3 ) ), alpha1( skol1( skol3 ), skol3 ) }.
% 0.96/1.27 parent0[1]: (3192) {G0,W13,D3,L3,V2,M3} { ! zero ==> multiplication( X, Y
% 0.96/1.27 ), ! one ==> addition( Y, X ), alpha1( Y, X ) }.
% 0.96/1.28 parent1[0]: (3189) {G4,W6,D4,L1,V0,M1} { one ==> addition( skol1( skol3 )
% 0.96/1.28 , skol3 ) }.
% 0.96/1.28 substitution0:
% 0.96/1.28 X := skol3
% 0.96/1.28 Y := skol1( skol3 )
% 0.96/1.28 end
% 0.96/1.28 substitution1:
% 0.96/1.28 end
% 0.96/1.28
% 0.96/1.28 paramod: (3195) {G2,W7,D3,L2,V0,M2} { ! zero ==> zero, alpha1( skol1(
% 0.96/1.28 skol3 ), skol3 ) }.
% 0.96/1.28 parent0[0]: (195) {G2,W6,D4,L1,V0,M1} R(15,183) { multiplication( skol3,
% 0.96/1.28 skol1( skol3 ) ) ==> zero }.
% 0.96/1.28 parent1[0; 3]: (3194) {G1,W10,D4,L2,V0,M2} { ! zero ==> multiplication(
% 0.96/1.28 skol3, skol1( skol3 ) ), alpha1( skol1( skol3 ), skol3 ) }.
% 0.96/1.28 substitution0:
% 0.96/1.28 end
% 0.96/1.28 substitution1:
% 0.96/1.28 end
% 0.96/1.28
% 0.96/1.28 eqrefl: (3196) {G0,W4,D3,L1,V0,M1} { alpha1( skol1( skol3 ), skol3 ) }.
% 0.96/1.28 parent0[0]: (3195) {G2,W7,D3,L2,V0,M2} { ! zero ==> zero, alpha1( skol1(
% 0.96/1.28 skol3 ), skol3 ) }.
% 0.96/1.28 substitution0:
% 0.96/1.28 end
% 0.96/1.28
% 0.96/1.28 subsumption: (2744) {G5,W4,D3,L1,V0,M1} R(2709,20);d(195);q { alpha1( skol1
% 0.96/1.28 ( skol3 ), skol3 ) }.
% 0.96/1.28 parent0: (3196) {G0,W4,D3,L1,V0,M1} { alpha1( skol1( skol3 ), skol3 ) }.
% 0.96/1.28 substitution0:
% 0.96/1.28 end
% 0.96/1.28 permutation0:
% 0.96/1.28 0 ==> 0
% 0.96/1.28 end
% 0.96/1.28
% 0.96/1.28 eqswap: (3197) {G0,W11,D3,L3,V2,M3} { ! zero ==> multiplication( X, Y ), !
% 0.96/1.28 alpha1( X, Y ), complement( Y, X ) }.
% 0.96/1.28 parent0[0]: (17) {G0,W11,D3,L3,V2,M3} I { ! multiplication( X, Y ) ==> zero
% 0.96/1.28 , ! alpha1( X, Y ), complement( Y, X ) }.
% 0.96/1.28 substitution0:
% 0.96/1.28 X := X
% 0.96/1.28 Y := Y
% 0.96/1.28 end
% 0.96/1.28
% 0.96/1.28 resolution: (3199) {G1,W10,D4,L2,V0,M2} { ! zero ==> multiplication( skol1
% 0.96/1.28 ( skol3 ), skol3 ), complement( skol3, skol1( skol3 ) ) }.
% 0.96/1.28 parent0[1]: (3197) {G0,W11,D3,L3,V2,M3} { ! zero ==> multiplication( X, Y
% 0.96/1.28 ), ! alpha1( X, Y ), complement( Y, X ) }.
% 0.96/1.28 parent1[0]: (2744) {G5,W4,D3,L1,V0,M1} R(2709,20);d(195);q { alpha1( skol1
% 0.96/1.28 ( skol3 ), skol3 ) }.
% 0.96/1.28 substitution0:
% 0.96/1.28 X := skol1( skol3 )
% 0.96/1.28 Y := skol3
% 0.96/1.28 end
% 0.96/1.28 substitution1:
% 0.96/1.28 end
% 0.96/1.28
% 0.96/1.28 paramod: (3200) {G2,W7,D3,L2,V0,M2} { ! zero ==> zero, complement( skol3,
% 0.96/1.28 skol1( skol3 ) ) }.
% 0.96/1.28 parent0[0]: (237) {G3,W6,D4,L1,V0,M1} R(18,187) { multiplication( skol1(
% 0.96/1.28 skol3 ), skol3 ) ==> zero }.
% 0.96/1.28 parent1[0; 3]: (3199) {G1,W10,D4,L2,V0,M2} { ! zero ==> multiplication(
% 0.96/1.28 skol1( skol3 ), skol3 ), complement( skol3, skol1( skol3 ) ) }.
% 0.96/1.28 substitution0:
% 0.96/1.28 end
% 0.96/1.28 substitution1:
% 0.96/1.28 end
% 0.96/1.28
% 0.96/1.28 eqrefl: (3201) {G0,W4,D3,L1,V0,M1} { complement( skol3, skol1( skol3 ) )
% 0.96/1.28 }.
% 0.96/1.28 parent0[0]: (3200) {G2,W7,D3,L2,V0,M2} { ! zero ==> zero, complement(
% 0.96/1.28 skol3, skol1( skol3 ) ) }.
% 0.96/1.28 substitution0:
% 0.96/1.28 end
% 0.96/1.28
% 0.96/1.28 subsumption: (2759) {G6,W4,D3,L1,V0,M1} R(2744,17);d(237);q { complement(
% 0.96/1.28 skol3, skol1( skol3 ) ) }.
% 0.96/1.28 parent0: (3201) {G0,W4,D3,L1,V0,M1} { complement( skol3, skol1( skol3 ) )
% 0.96/1.28 }.
% 0.96/1.28 substitution0:
% 0.96/1.28 end
% 0.96/1.28 permutation0:
% 0.96/1.28 0 ==> 0
% 0.96/1.28 end
% 0.96/1.28
% 0.96/1.28 eqswap: (3202) {G0,W9,D3,L3,V2,M3} { Y = c( X ), ! test( X ), ! complement
% 0.96/1.28 ( X, Y ) }.
% 0.96/1.28 parent0[2]: (22) {G0,W9,D3,L3,V2,M3} I { ! test( X ), ! complement( X, Y )
% 0.96/1.28 , c( X ) = Y }.
% 0.96/1.28 substitution0:
% 0.96/1.28 X := X
% 0.96/1.28 Y := Y
% 0.96/1.28 end
% 0.96/1.28
% 0.96/1.28 resolution: (3203) {G1,W7,D3,L2,V0,M2} { skol1( skol3 ) = c( skol3 ), !
% 0.96/1.28 test( skol3 ) }.
% 0.96/1.28 parent0[2]: (3202) {G0,W9,D3,L3,V2,M3} { Y = c( X ), ! test( X ), !
% 0.96/1.28 complement( X, Y ) }.
% 0.96/1.28 parent1[0]: (2759) {G6,W4,D3,L1,V0,M1} R(2744,17);d(237);q { complement(
% 0.96/1.28 skol3, skol1( skol3 ) ) }.
% 0.96/1.28 substitution0:
% 0.96/1.28 X := skol3
% 0.96/1.28 Y := skol1( skol3 )
% 0.96/1.28 end
% 0.96/1.28 substitution1:
% 0.96/1.28 end
% 0.96/1.28
% 0.96/1.28 resolution: (3204) {G1,W5,D3,L1,V0,M1} { skol1( skol3 ) = c( skol3 ) }.
% 0.96/1.28 parent0[1]: (3203) {G1,W7,D3,L2,V0,M2} { skol1( skol3 ) = c( skol3 ), !
% 0.96/1.28 test( skol3 ) }.
% 0.96/1.28 parent1[0]: (26) {G0,W2,D2,L1,V0,M1} I { test( skol3 ) }.
% 0.96/1.28 substitution0:
% 0.96/1.28 end
% 0.96/1.28 substitution1:
% 0.96/1.28 end
% 0.96/1.28
% 0.96/1.28 eqswap: (3205) {G1,W5,D3,L1,V0,M1} { c( skol3 ) = skol1( skol3 ) }.
% 0.96/1.28 parent0[0]: (3204) {G1,W5,D3,L1,V0,M1} { skol1( skol3 ) = c( skol3 ) }.
% 0.96/1.28 substitution0:
% 0.96/1.28 end
% 0.96/1.28
% 0.96/1.28 subsumption: (2764) {G7,W5,D3,L1,V0,M1} R(2759,22);r(26) { c( skol3 ) ==>
% 0.96/1.28 skol1( skol3 ) }.
% 0.96/1.28 parent0: (3205) {G1,W5,D3,L1,V0,M1} { c( skol3 ) = skol1( skol3 ) }.
% 0.96/1.28 substitution0:
% 0.96/1.28 end
% 0.96/1.28 permutation0:
% 0.96/1.28 0 ==> 0
% 0.96/1.28 end
% 0.96/1.28
% 0.96/1.28 paramod: (3216) {G2,W22,D5,L2,V0,M2} { ! leq( multiplication( addition(
% 0.96/1.28 skol2, c( skol2 ) ), addition( skol3, skol1( skol3 ) ) ), one ), ! leq(
% 0.96/1.28 one, multiplication( addition( skol2, c( skol2 ) ), addition( skol3, c(
% 0.96/1.28 skol3 ) ) ) ) }.
% 0.96/1.28 parent0[0]: (2764) {G7,W5,D3,L1,V0,M1} R(2759,22);r(26) { c( skol3 ) ==>
% 0.96/1.28 skol1( skol3 ) }.
% 0.96/1.28 parent1[1; 9]: (28) {G1,W22,D5,L2,V0,M2} I;d(7);d(7) { ! leq( one,
% 0.96/1.28 multiplication( addition( skol2, c( skol2 ) ), addition( skol3, c( skol3
% 0.96/1.28 ) ) ) ), ! leq( multiplication( addition( skol2, c( skol2 ) ), addition
% 0.96/1.28 ( skol3, c( skol3 ) ) ), one ) }.
% 0.96/1.28 substitution0:
% 0.96/1.28 end
% 0.96/1.28 substitution1:
% 0.96/1.28 end
% 0.96/1.28
% 0.96/1.28 paramod: (3217) {G3,W22,D5,L2,V0,M2} { ! leq( one, multiplication(
% 0.96/1.28 addition( skol2, c( skol2 ) ), addition( skol3, skol1( skol3 ) ) ) ), !
% 0.96/1.28 leq( multiplication( addition( skol2, c( skol2 ) ), addition( skol3,
% 0.96/1.28 skol1( skol3 ) ) ), one ) }.
% 0.96/1.28 parent0[0]: (2764) {G7,W5,D3,L1,V0,M1} R(2759,22);r(26) { c( skol3 ) ==>
% 0.96/1.28 skol1( skol3 ) }.
% 0.96/1.28 parent1[1; 10]: (3216) {G2,W22,D5,L2,V0,M2} { ! leq( multiplication(
% 0.96/1.28 addition( skol2, c( skol2 ) ), addition( skol3, skol1( skol3 ) ) ), one )
% 0.96/1.28 , ! leq( one, multiplication( addition( skol2, c( skol2 ) ), addition(
% 0.96/1.28 skol3, c( skol3 ) ) ) ) }.
% 0.96/1.28 substitution0:
% 0.96/1.28 end
% 0.96/1.28 substitution1:
% 0.96/1.28 end
% 0.96/1.28
% 0.96/1.28 paramod: (3262) {G4,W22,D5,L2,V0,M2} { ! leq( multiplication( addition(
% 0.96/1.28 skol2, skol1( skol2 ) ), addition( skol3, skol1( skol3 ) ) ), one ), !
% 0.96/1.28 leq( one, multiplication( addition( skol2, c( skol2 ) ), addition( skol3
% 0.96/1.28 , skol1( skol3 ) ) ) ) }.
% 0.96/1.28 parent0[0]: (2409) {G7,W5,D3,L1,V0,M1} R(2404,22);r(27) { c( skol2 ) ==>
% 0.96/1.28 skol1( skol2 ) }.
% 0.96/1.28 parent1[1; 5]: (3217) {G3,W22,D5,L2,V0,M2} { ! leq( one, multiplication(
% 0.96/1.28 addition( skol2, c( skol2 ) ), addition( skol3, skol1( skol3 ) ) ) ), !
% 0.96/1.28 leq( multiplication( addition( skol2, c( skol2 ) ), addition( skol3,
% 0.96/1.28 skol1( skol3 ) ) ), one ) }.
% 0.96/1.28 substitution0:
% 0.96/1.28 end
% 0.96/1.28 substitution1:
% 0.96/1.28 end
% 0.96/1.28
% 0.96/1.28 paramod: (3264) {G5,W22,D5,L2,V0,M2} { ! leq( one, multiplication(
% 0.96/1.28 addition( skol2, skol1( skol2 ) ), addition( skol3, skol1( skol3 ) ) ) )
% 0.96/1.28 , ! leq( multiplication( addition( skol2, skol1( skol2 ) ), addition(
% 0.96/1.28 skol3, skol1( skol3 ) ) ), one ) }.
% 0.96/1.28 parent0[0]: (2409) {G7,W5,D3,L1,V0,M1} R(2404,22);r(27) { c( skol2 ) ==>
% 0.96/1.28 skol1( skol2 ) }.
% 0.96/1.28 parent1[1; 6]: (3262) {G4,W22,D5,L2,V0,M2} { ! leq( multiplication(
% 0.96/1.28 addition( skol2, skol1( skol2 ) ), addition( skol3, skol1( skol3 ) ) ),
% 0.96/1.28 one ), ! leq( one, multiplication( addition( skol2, c( skol2 ) ),
% 0.96/1.28 addition( skol3, skol1( skol3 ) ) ) ) }.
% 0.96/1.28 substitution0:
% 0.96/1.28 end
% 0.96/1.28 substitution1:
% 0.96/1.28 end
% 0.96/1.28
% 0.96/1.28 paramod: (3266) {G4,W19,D5,L2,V0,M2} { ! leq( multiplication( one,
% 0.96/1.28 addition( skol3, skol1( skol3 ) ) ), one ), ! leq( one, multiplication(
% 0.96/1.28 addition( skol2, skol1( skol2 ) ), addition( skol3, skol1( skol3 ) ) ) )
% 0.96/1.28 }.
% 0.96/1.28 parent0[0]: (262) {G3,W6,D4,L1,V0,M1} R(19,191) { addition( skol2, skol1(
% 0.96/1.28 skol2 ) ) ==> one }.
% 0.96/1.28 parent1[1; 3]: (3264) {G5,W22,D5,L2,V0,M2} { ! leq( one, multiplication(
% 0.96/1.28 addition( skol2, skol1( skol2 ) ), addition( skol3, skol1( skol3 ) ) ) )
% 0.96/1.28 , ! leq( multiplication( addition( skol2, skol1( skol2 ) ), addition(
% 0.96/1.28 skol3, skol1( skol3 ) ) ), one ) }.
% 0.96/1.28 substitution0:
% 0.96/1.28 end
% 0.96/1.28 substitution1:
% 0.96/1.28 end
% 0.96/1.28
% 0.96/1.28 paramod: (3268) {G4,W16,D5,L2,V0,M2} { ! leq( one, multiplication( one,
% 0.96/1.28 addition( skol3, skol1( skol3 ) ) ) ), ! leq( multiplication( one,
% 0.96/1.28 addition( skol3, skol1( skol3 ) ) ), one ) }.
% 0.96/1.28 parent0[0]: (262) {G3,W6,D4,L1,V0,M1} R(19,191) { addition( skol2, skol1(
% 0.96/1.28 skol2 ) ) ==> one }.
% 0.96/1.28 parent1[1; 4]: (3266) {G4,W19,D5,L2,V0,M2} { ! leq( multiplication( one,
% 0.96/1.28 addition( skol3, skol1( skol3 ) ) ), one ), ! leq( one, multiplication(
% 0.96/1.28 addition( skol2, skol1( skol2 ) ), addition( skol3, skol1( skol3 ) ) ) )
% 0.96/1.28 }.
% 0.96/1.28 substitution0:
% 0.96/1.28 end
% 0.96/1.28 substitution1:
% 0.96/1.28 end
% 0.96/1.28
% 0.96/1.28 paramod: (3270) {G1,W14,D5,L2,V0,M2} { ! leq( addition( skol3, skol1(
% 0.96/1.28 skol3 ) ), one ), ! leq( one, multiplication( one, addition( skol3, skol1
% 0.96/1.28 ( skol3 ) ) ) ) }.
% 0.96/1.28 parent0[0]: (6) {G0,W5,D3,L1,V1,M1} I { multiplication( one, X ) ==> X }.
% 0.96/1.28 parent1[1; 2]: (3268) {G4,W16,D5,L2,V0,M2} { ! leq( one, multiplication(
% 0.96/1.28 one, addition( skol3, skol1( skol3 ) ) ) ), ! leq( multiplication( one,
% 0.96/1.28 addition( skol3, skol1( skol3 ) ) ), one ) }.
% 0.96/1.28 substitution0:
% 0.96/1.28 X := addition( skol3, skol1( skol3 ) )
% 0.96/1.28 end
% 0.96/1.28 substitution1:
% 0.96/1.28 end
% 0.96/1.28
% 0.96/1.28 paramod: (3272) {G1,W12,D4,L2,V0,M2} { ! leq( one, addition( skol3, skol1
% 0.96/1.28 ( skol3 ) ) ), ! leq( addition( skol3, skol1( skol3 ) ), one ) }.
% 0.96/1.28 parent0[0]: (6) {G0,W5,D3,L1,V1,M1} I { multiplication( one, X ) ==> X }.
% 0.96/1.28 parent1[1; 3]: (3270) {G1,W14,D5,L2,V0,M2} { ! leq( addition( skol3, skol1
% 0.96/1.28 ( skol3 ) ), one ), ! leq( one, multiplication( one, addition( skol3,
% 0.96/1.28 skol1( skol3 ) ) ) ) }.
% 0.96/1.28 substitution0:
% 0.96/1.28 X := addition( skol3, skol1( skol3 ) )
% 0.96/1.28 end
% 0.96/1.28 substitution1:
% 0.96/1.28 end
% 0.96/1.28
% 0.96/1.28 paramod: (3274) {G2,W9,D4,L2,V0,M2} { ! leq( one, one ), ! leq( one,
% 0.96/1.28 addition( skol3, skol1( skol3 ) ) ) }.
% 0.96/1.28 parent0[0]: (263) {G3,W6,D4,L1,V0,M1} R(19,187) { addition( skol3, skol1(
% 0.96/1.28 skol3 ) ) ==> one }.
% 0.96/1.28 parent1[1; 2]: (3272) {G1,W12,D4,L2,V0,M2} { ! leq( one, addition( skol3,
% 0.96/1.28 skol1( skol3 ) ) ), ! leq( addition( skol3, skol1( skol3 ) ), one ) }.
% 0.96/1.28 substitution0:
% 0.96/1.28 end
% 0.96/1.28 substitution1:
% 0.96/1.28 end
% 0.96/1.28
% 0.96/1.28 paramod: (3277) {G3,W6,D2,L2,V0,M2} { ! leq( one, one ), ! leq( one, one )
% 0.96/1.28 }.
% 0.96/1.28 parent0[0]: (263) {G3,W6,D4,L1,V0,M1} R(19,187) { addition( skol3, skol1(
% 0.96/1.28 skol3 ) ) ==> one }.
% 0.96/1.28 parent1[1; 3]: (3274) {G2,W9,D4,L2,V0,M2} { ! leq( one, one ), ! leq( one
% 0.96/1.28 , addition( skol3, skol1( skol3 ) ) ) }.
% 0.96/1.28 substitution0:
% 0.96/1.28 end
% 0.96/1.28 substitution1:
% 0.96/1.28 end
% 0.96/1.28
% 0.96/1.28 factor: (3278) {G3,W3,D2,L1,V0,M1} { ! leq( one, one ) }.
% 0.96/1.28 parent0[0, 1]: (3277) {G3,W6,D2,L2,V0,M2} { ! leq( one, one ), ! leq( one
% 0.96/1.28 , one ) }.
% 0.96/1.28 substitution0:
% 0.96/1.28 end
% 0.96/1.28
% 0.96/1.28 resolution: (3280) {G2,W0,D0,L0,V0,M0} { }.
% 0.96/1.28 parent0[0]: (3278) {G3,W3,D2,L1,V0,M1} { ! leq( one, one ) }.
% 0.96/1.28 parent1[0]: (149) {G1,W3,D2,L1,V1,M1} R(12,3) { leq( X, X ) }.
% 0.96/1.28 substitution0:
% 0.96/1.28 end
% 0.96/1.28 substitution1:
% 0.96/1.28 X := one
% 0.96/1.28 end
% 0.96/1.28
% 0.96/1.28 subsumption: (2807) {G8,W0,D0,L0,V0,M0} P(2764,28);d(2409);d(2409);d(262);d
% 0.96/1.28 (262);d(6);d(6);d(263);d(263);f;r(149) { }.
% 0.96/1.28 parent0: (3280) {G2,W0,D0,L0,V0,M0} { }.
% 0.96/1.28 substitution0:
% 0.96/1.28 end
% 0.96/1.28 permutation0:
% 0.96/1.28 end
% 0.96/1.28
% 0.96/1.28 Proof check complete!
% 0.96/1.28
% 0.96/1.28 Memory use:
% 0.96/1.28
% 0.96/1.28 space for terms: 33596
% 0.96/1.28 space for clauses: 152494
% 0.96/1.28
% 0.96/1.28
% 0.96/1.28 clauses generated: 17761
% 0.96/1.28 clauses kept: 2808
% 0.96/1.28 clauses selected: 283
% 0.96/1.28 clauses deleted: 83
% 0.96/1.28 clauses inuse deleted: 32
% 0.96/1.28
% 0.96/1.28 subsentry: 32476
% 0.96/1.28 literals s-matched: 21602
% 0.96/1.28 literals matched: 21250
% 0.96/1.28 full subsumption: 3222
% 0.96/1.28
% 0.96/1.28 checksum: -879179586
% 0.96/1.28
% 0.96/1.28
% 0.96/1.28 Bliksem ended
%------------------------------------------------------------------------------