TSTP Solution File: LDA002-1 by CiME---2.01
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : CiME---2.01
% Problem : LDA002-1 : TPTP v6.0.0. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : tptp2X_and_run_cime %s
% Computer : n042.star.cs.uiowa.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2609 0 2.40GHz
% Memory : 32286.75MB
% OS : Linux 2.6.32-431.11.2.el6.x86_64
% CPULimit : 300s
% DateTime : Tue Jun 10 00:28:18 EDT 2014
% Result : Unsatisfiable 6.28s
% Output : Refutation 6.28s
% Verified :
% SZS Type : None (Parsing solution fails)
% Syntax : Number of formulae : 0
% Comments :
%------------------------------------------------------------------------------
%----ERROR: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% % Problem : LDA002-1 : TPTP v6.0.0. Released v1.0.0.
% % Command : tptp2X_and_run_cime %s
% % Computer : n042.star.cs.uiowa.edu
% % Model : x86_64 x86_64
% % CPU : Intel(R) Xeon(R) CPU E5-2609 0 @ 2.40GHz
% % Memory : 32286.75MB
% % OS : Linux 2.6.32-431.11.2.el6.x86_64
% % CPULimit : 300
% % DateTime : Thu Jun 5 15:14:38 CDT 2014
% % CPUTime : 6.28
% Processing problem /tmp/CiME_10971_n042.star.cs.uiowa.edu
% #verbose 1;
% let F = signature " v,b,a,uu,u3,u2,u1,u,n3,n1,n2 : constant; f : 2;";
% let X = vars "X Y Z";
% let Axioms = equations F X "
% f(X,f(Y,Z)) = f(f(X,Y),f(X,Z));
% n2 = f(n1,n1);
% n3 = f(n2,n1);
% u = f(n2,n2);
% u1 = f(u,n1);
% u2 = f(u,n2);
% u3 = f(u,n3);
% uu = f(u,u);
% a = f(f(n3,n2),u2);
% b = f(u1,u3);
% v = f(uu,uu);
% ";
%
% let s1 = status F "
% v lr_lex;
% b lr_lex;
% a lr_lex;
% uu lr_lex;
% u3 lr_lex;
% u2 lr_lex;
% u1 lr_lex;
% u lr_lex;
% n3 lr_lex;
% n1 lr_lex;
% n2 lr_lex;
% f mul;
% ";
%
% let p1 = precedence F "
% f > n2 > n1 > n3 > u > u1 > u2 > u3 > uu > a > b > v";
%
% let s2 = status F "
% v mul;
% b mul;
% a mul;
% uu mul;
% u3 mul;
% u2 mul;
% u1 mul;
% u mul;
% n3 mul;
% n1 mul;
% n2 mul;
% f mul;
% ";
%
% let p2 = precedence F "
% f > n2 = n1 = n3 = u = u1 = u2 = u3 = uu = a = b = v";
%
% let o_auto = AUTO Axioms;
%
% let o = LEX o_auto (LEX (ACRPO s1 p1) (ACRPO s2 p2));
%
% let Conjectures = equations F X " f(a,v) = f(b,v);"
% ;
% (*
% let Red_Axioms = normalize_equations Defining_rules Axioms;
%
% let Red_Conjectures = normalize_equations Defining_rules Conjectures;
% *)
% #time on;
%
% let res = prove_conj_by_ordered_completion o Axioms Conjectures;
%
% #time off;
%
%
% let status = if res then "unsatisfiable" else "satisfiable";
% #quit;
% Verbose level is now 1
%
% F : signature = <signature>
% X : variable_set = <variable set>
%
% Axioms : (F,X) equations = { f(X,f(Y,Z)) = f(f(X,Y),f(X,Z)),
% n2 = f(n1,n1),
% n3 = f(n2,n1),
% u = f(n2,n2),
% u1 = f(u,n1),
% u2 = f(u,n2),
% u3 = f(u,n3),
% uu = f(u,u),
% a = f(f(n3,n2),u2),
% b = f(u1,u3),
% v = f(uu,uu) } (11 equation(s))
% s1 : F status = <status>
% p1 : F precedence = <precedence>
% s2 : F status = <status>
% p2 : F precedence = <precedence>
% o_auto : F term_ordering = <term ordering>
% o : F term_ordering = <term ordering>
% Conjectures : (F,X) equations = { f(a,v) = f(b,v) } (1 equation(s))
% time is now on
%
% Initializing completion ...
% New rule produced : [1] f(n1,n1) -> n2
% Current number of equations to process: 0
% Current number of ordered equations: 11
% Current number of rules: 1
% New rule produced : [2] f(n2,n1) -> n3
% Current number of equations to process: 0
% Current number of ordered equations: 10
% Current number of rules: 2
% New rule produced : [3] f(n2,n2) -> u
% Current number of equations to process: 0
% Current number of ordered equations: 9
% Current number of rules: 3
% New rule produced : [4] f(u,n1) -> u1
% Current number of equations to process: 0
% Current number of ordered equations: 8
% Current number of rules: 4
% New rule produced : [5] f(u,n2) -> u2
% Current number of equations to process: 0
% Current number of ordered equations: 7
% Current number of rules: 5
% New rule produced : [6] f(u,n3) -> u3
% Current number of equations to process: 0
% Current number of ordered equations: 6
% Current number of rules: 6
% New rule produced : [7] f(u,u) -> uu
% Current number of equations to process: 0
% Current number of ordered equations: 5
% Current number of rules: 7
% New rule produced : [8] f(u1,u3) -> b
% Current number of equations to process: 0
% Current number of ordered equations: 4
% Current number of rules: 8
% New rule produced : [9] f(uu,uu) -> v
% Current number of equations to process: 0
% Current number of ordered equations: 3
% Current number of rules: 9
% New rule produced : [10] f(f(n3,n2),u2) -> a
% Current number of equations to process: 0
% Current number of ordered equations: 2
% Current number of rules: 10
% New rule produced : [11] f(X,f(Y,Z)) <-> f(f(X,Y),f(X,Z))
% Current number of equations to process: 0
% Current number of ordered equations: 1
% Current number of rules: 11
% New rule produced : [12] f(f(X,Y),f(X,Z)) <-> f(X,f(Y,Z))
% Current number of equations to process: 0
% Current number of ordered equations: 0
% Current number of rules: 12
% New rule produced : [13] f(f(X,n1),f(X,n1)) -> f(X,n2)
% Current number of equations to process: 10
% Current number of ordered equations: 0
% Current number of rules: 13
% New rule produced : [14] f(f(X,n2),f(X,n1)) -> f(X,n3)
% Current number of equations to process: 9
% Current number of ordered equations: 0
% Current number of rules: 14
% New rule produced : [15] f(f(X,n2),f(X,n2)) -> f(X,u)
% Current number of equations to process: 8
% Current number of ordered equations: 0
% Current number of rules: 15
% New rule produced : [16] f(f(X,u),f(X,n1)) -> f(X,u1)
% Current number of equations to process: 7
% Current number of ordered equations: 0
% Current number of rules: 16
% New rule produced : [17] f(f(X,u),f(X,n2)) -> f(X,u2)
% Current number of equations to process: 6
% Current number of ordered equations: 0
% Current number of rules: 17
% New rule produced : [18] f(f(X,u),f(X,n3)) -> f(X,u3)
% Current number of equations to process: 5
% Current number of ordered equations: 0
% Current number of rules: 18
% New rule produced : [19] f(f(X,u),f(X,u)) -> f(X,uu)
% Current number of equations to process: 4
% Current number of ordered equations: 0
% Current number of rules: 19
% New rule produced : [20] f(f(X,u1),f(X,u3)) -> f(X,b)
% Current number of equations to process: 3
% Current number of ordered equations: 0
% Current number of rules: 20
% New rule produced : [21] f(f(X,uu),f(X,uu)) -> f(X,v)
% Current number of equations to process: 2
% Current number of ordered equations: 0
% Current number of rules: 21
% New rule produced : [22] f(n2,f(n1,X)) -> f(n1,f(n1,X))
% Current number of equations to process: 22
% Current number of ordered equations: 1
% Current number of rules: 22
% New rule produced : [23] f(f(n1,X),n2) -> f(n1,f(X,n1))
% Current number of equations to process: 22
% Current number of ordered equations: 0
% Current number of rules: 23
% New rule produced : [24] f(n3,f(n2,X)) -> f(n1,f(n1,X))
% Current number of equations to process: 20
% Current number of ordered equations: 1
% Current number of rules: 24
% New rule produced : [25] f(f(n2,X),n3) -> f(n2,f(X,n1))
% Current number of equations to process: 20
% Current number of ordered equations: 0
% Current number of rules: 25
% New rule produced : [26] f(n2,f(X,n2)) -> f(f(n2,X),u)
% Current number of equations to process: 18
% Current number of ordered equations: 1
% Current number of rules: 26
% New rule produced : [27] f(n2,f(n2,X)) -> f(u,f(n2,X))
% Current number of equations to process: 18
% Current number of ordered equations: 0
% Current number of rules: 27
% New rule produced : [28] f(u,f(X,n1)) -> f(f(u,X),u1)
% Current number of equations to process: 16
% Current number of ordered equations: 1
% Current number of rules: 28
% New rule produced : [29] f(u,f(n1,X)) -> f(u1,f(u,X))
% Current number of equations to process: 16
% Current number of ordered equations: 0
% Current number of rules: 29
% New rule produced : [30] f(u,f(X,n2)) -> f(f(u,X),u2)
% Current number of equations to process: 14
% Current number of ordered equations: 1
% Current number of rules: 30
% Rule [27] f(n2,f(n2,X)) -> f(u,f(n2,X)) is composed into [27]
% f(n2,f(n2,X)) ->
% f(u2,f(u,X))
% New rule produced : [31] f(u,f(n2,X)) -> f(u2,f(u,X))
% Current number of equations to process: 14
% Current number of ordered equations: 0
% Current number of rules: 31
% New rule produced : [32] f(u,f(X,n3)) -> f(f(u,X),u3)
% Current number of equations to process: 12
% Current number of ordered equations: 1
% Current number of rules: 32
% New rule produced : [33] f(u,f(n3,X)) -> f(u3,f(u,X))
% Current number of equations to process: 12
% Current number of ordered equations: 0
% Current number of rules: 33
% New rule produced : [34] f(u,f(X,u)) -> f(f(u,X),uu)
% Current number of equations to process: 10
% Current number of ordered equations: 1
% Current number of rules: 34
% New rule produced : [35] f(u,f(u,X)) -> f(uu,f(u,X))
% Current number of equations to process: 10
% Current number of ordered equations: 0
% Current number of rules: 35
% New rule produced : [36] f(b,f(u1,X)) -> f(u1,f(u3,X))
% Current number of equations to process: 8
% Current number of ordered equations: 1
% Current number of rules: 36
% New rule produced : [37] f(f(u1,X),b) -> f(u1,f(X,u3))
% Current number of equations to process: 8
% Current number of ordered equations: 0
% Current number of rules: 37
% New rule produced : [38] f(uu,f(X,uu)) -> f(f(uu,X),v)
% Current number of equations to process: 6
% Current number of ordered equations: 1
% Current number of rules: 38
% New rule produced : [39] f(uu,f(uu,X)) -> f(v,f(uu,X))
% Current number of equations to process: 6
% Current number of ordered equations: 0
% Current number of rules: 39
% New rule produced : [40] f(n1,n2) -> u
% Current number of equations to process: 9
% Current number of ordered equations: 0
% Current number of rules: 40
% New rule produced : [41] f(n3,n3) -> u
% Current number of equations to process: 9
% Current number of ordered equations: 0
% Current number of rules: 41
% New rule produced : [42] f(u1,u1) -> u2
% Current number of equations to process: 9
% Current number of ordered equations: 0
% Current number of rules: 42
% New rule produced : [43] f(n1,n3) -> u2
% Current number of equations to process: 12
% Current number of ordered equations: 0
% Current number of rules: 43
% New rule produced : [44] f(n2,n3) -> u3
% Current number of equations to process: 12
% Current number of ordered equations: 0
% Current number of rules: 44
% New rule produced : [45] f(u2,u1) -> u3
% Current number of equations to process: 12
% Current number of ordered equations: 0
% Current number of rules: 45
% New rule produced : [46] f(n2,u) -> uu
% Current number of equations to process: 15
% Current number of ordered equations: 0
% Current number of rules: 46
% New rule produced : [47] f(u2,u2) -> uu
% Current number of equations to process: 15
% Current number of ordered equations: 0
% Current number of rules: 47
% New rule produced : [48] f(n2,u1) -> f(uu,n3)
% Current number of equations to process: 18
% Current number of ordered equations: 0
% Current number of rules: 48
% New rule produced : [49] f(u,u1) -> f(uu,u1)
% Current number of equations to process: 18
% Current number of ordered equations: 0
% Current number of rules: 49
% New rule produced : [50] f(n2,u2) -> f(uu,u)
% Current number of equations to process: 21
% Current number of ordered equations: 0
% Current number of rules: 50
% New rule produced : [51] f(u,u2) -> f(uu,u2)
% Current number of equations to process: 21
% Current number of ordered equations: 0
% Current number of rules: 51
% New rule produced : [52] f(u,u3) -> f(uu,u3)
% Current number of equations to process: 24
% Current number of ordered equations: 0
% Current number of rules: 52
% New rule produced : [53] f(u,uu) -> v
% Current number of equations to process: 27
% Current number of ordered equations: 0
% Current number of rules: 53
% New rule produced : [54] f(u1,b) -> f(u2,b)
% Current number of equations to process: 30
% Current number of ordered equations: 0
% Current number of rules: 54
% New rule produced : [55] f(uu,v) -> f(v,v)
% Current number of equations to process: 33
% Current number of ordered equations: 0
% Current number of rules: 55
% New rule produced : [56] f(n1,u) -> f(n3,u)
% Current number of equations to process: 47
% Current number of ordered equations: 0
% Current number of rules: 56
% New rule produced : [57] f(u1,f(u3,u3)) -> f(b,b)
% Current number of equations to process: 115
% Current number of ordered equations: 0
% Current number of rules: 57
% Rule [56] f(n1,u) -> f(n3,u) is composed into [56] f(n1,u) -> uu
% New rule produced : [58] f(n3,u) -> uu
% Current number of equations to process: 136
% Current number of ordered equations: 0
% Current number of rules: 58
% New rule produced : [59] f(n1,u2) -> f(uu,u)
% Current number of equations to process: 136
% Current number of ordered equations: 0
% Current number of rules: 59
% New rule produced : [60] f(u1,u2) -> uu
% Current number of equations to process: 136
% Current number of ordered equations: 0
% Current number of rules: 60
% New rule produced : [61] f(n3,u3) -> f(uu,u)
% Current number of equations to process: 139
% Current number of ordered equations: 0
% Current number of rules: 61
% New rule produced : [62] f(u3,u3) -> uu
% Rule [57] f(u1,f(u3,u3)) -> f(b,b) collapsed.
% Current number of equations to process: 140
% Current number of ordered equations: 0
% Current number of rules: 61
% New rule produced : [63] f(u1,uu) -> f(b,b)
% Current number of equations to process: 139
% Current number of ordered equations: 0
% Current number of rules: 62
% New rule produced : [64] f(n1,u3) -> f(uu,u2)
% Current number of equations to process: 146
% Current number of ordered equations: 0
% Current number of rules: 63
% Rule [64] f(n1,u3) -> f(uu,u2) is composed into [64] f(n1,u3) -> b
% Rule [51] f(u,u2) -> f(uu,u2) is composed into [51] f(u,u2) -> b
% New rule produced : [65] f(uu,u2) -> b
% Current number of equations to process: 147
% Current number of ordered equations: 0
% Current number of rules: 64
% New rule produced : [66] f(n2,u3) -> f(uu,u3)
% Current number of equations to process: 150
% Current number of ordered equations: 0
% Current number of rules: 65
% New rule produced : [67] f(u2,u3) -> f(uu,u3)
% Current number of equations to process: 151
% Current number of ordered equations: 0
% Current number of rules: 66
% New rule produced : [68] f(n2,uu) -> v
% Current number of equations to process: 158
% Current number of ordered equations: 0
% Current number of rules: 67
% New rule produced : [69] f(n1,uu) -> f(n3,uu)
% Current number of equations to process: 158
% Current number of ordered equations: 0
% Current number of rules: 68
% New rule produced : [70] f(u2,uu) -> v
% Current number of equations to process: 158
% Current number of ordered equations: 0
% Current number of rules: 69
% New rule produced : [71] f(u1,f(u3,u1)) -> f(b,u2)
% Current number of equations to process: 160
% Current number of ordered equations: 0
% Current number of rules: 70
% New rule produced : [72] f(n1,f(n3,n1)) -> f(u2,n2)
% Current number of equations to process: 159
% Current number of ordered equations: 0
% Current number of rules: 71
% New rule produced : [73] f(n2,f(n3,n1)) -> f(u3,n3)
% Current number of equations to process: 158
% Current number of ordered equations: 0
% Current number of rules: 72
% New rule produced : [74] f(u3,f(uu,u3)) -> f(u2,b)
% Current number of equations to process: 157
% Current number of ordered equations: 0
% Current number of rules: 73
% New rule produced : [75] f(u2,f(uu,u1)) -> f(v,u3)
% Current number of equations to process: 164
% Current number of ordered equations: 0
% Current number of rules: 74
% New rule produced : [76] f(u,b) -> f(uu,b)
% Current number of equations to process: 167
% Current number of ordered equations: 0
% Current number of rules: 75
% Rule [74] f(u3,f(uu,u3)) -> f(u2,b) is composed into [74]
% f(u3,f(uu,u3)) ->
% f(v,uu)
% Rule [54] f(u1,b) -> f(u2,b) is composed into [54] f(u1,b) -> f(v,uu)
% New rule produced : [77] f(u2,b) -> f(v,uu)
% Current number of equations to process: 174
% Current number of ordered equations: 0
% Current number of rules: 76
% New rule produced : [78] f(n2,f(uu,u)) -> f(v,uu)
% Current number of equations to process: 173
% Current number of ordered equations: 0
% Current number of rules: 77
% New rule produced : [79] f(u,v) -> f(v,v)
% Current number of equations to process: 183
% Current number of ordered equations: 0
% Current number of rules: 78
% New rule produced : [80] f(f(uu,u),v) -> f(v,v)
% Current number of equations to process: 183
% Current number of ordered equations: 0
% Current number of rules: 79
% Rule [69] f(n1,uu) -> f(n3,uu) is composed into [69] f(n1,uu) -> v
% New rule produced : [81] f(n3,uu) -> v
% Current number of equations to process: 195
% Current number of ordered equations: 0
% Current number of rules: 80
% New rule produced : [82] f(uu,n2) -> f(n1,u1)
% Current number of equations to process: 195
% Current number of ordered equations: 0
% Current number of rules: 81
% Rule [63] f(u1,uu) -> f(b,b) is composed into [63] f(u1,uu) -> v
% New rule produced : [83] f(b,b) -> v
% Current number of equations to process: 195
% Current number of ordered equations: 0
% Current number of rules: 82
% New rule produced : [84] f(u3,uu) -> v
% Current number of equations to process: 200
% Current number of ordered equations: 0
% Current number of rules: 83
% New rule produced : [85] f(n1,f(uu,u)) -> f(v,uu)
% Current number of equations to process: 209
% Current number of ordered equations: 0
% Current number of rules: 84
% New rule produced : [86] f(u1,f(u3,u2)) -> f(b,uu)
% Current number of equations to process: 208
% Current number of ordered equations: 0
% Current number of rules: 85
% New rule produced : [87] f(u1,f(uu,u3)) -> f(uu,b)
% Current number of equations to process: 207
% Current number of ordered equations: 0
% Current number of rules: 86
% New rule produced : [88] f(f(u3,u1),uu) -> f(u3,b)
% Current number of equations to process: 214
% Current number of ordered equations: 0
% Current number of rules: 87
% New rule produced : [89] f(u1,v) -> f(v,v)
% Current number of equations to process: 217
% Current number of ordered equations: 0
% Current number of rules: 88
% New rule produced : [90] f(b,v) -> f(v,v)
% The conjecture has been reduced.
% Conjecture is now:
% f(a,v) = f(v,v)
%
% Current number of equations to process: 217
% Current number of ordered equations: 0
% Current number of rules: 89
% Rule [87] f(u1,f(uu,u3)) -> f(uu,b) is composed into [87]
% f(u1,f(uu,u3)) -> f(v,b)
% Rule [76] f(u,b) -> f(uu,b) is composed into [76] f(u,b) -> f(v,b)
% New rule produced : [91] f(uu,b) -> f(v,b)
% Current number of equations to process: 217
% Current number of ordered equations: 0
% Current number of rules: 90
% New rule produced : [92] f(f(uu,u1),v) -> f(v,v)
% Current number of equations to process: 217
% Current number of ordered equations: 0
% Current number of rules: 91
% New rule produced : [93] f(n2,b) -> f(n1,b)
% Current number of equations to process: 221
% Current number of ordered equations: 0
% Current number of rules: 92
% New rule produced : [94] f(f(n1,u1),b) -> f(n1,b)
% Current number of equations to process: 224
% Current number of ordered equations: 0
% Current number of rules: 93
% New rule produced : [95] f(n1,f(u3,n1)) -> f(b,n2)
% Current number of equations to process: 223
% Current number of ordered equations: 0
% Current number of rules: 94
% New rule produced : [96] f(n3,f(uu,u3)) -> f(n1,b)
% Current number of equations to process: 229
% Current number of ordered equations: 0
% Current number of rules: 95
% New rule produced : [97] f(n2,v) -> f(v,v)
% Current number of equations to process: 235
% Current number of ordered equations: 0
% Current number of rules: 96
% New rule produced : [98] f(n1,v) -> f(n3,v)
% Current number of equations to process: 235
% Current number of ordered equations: 0
% Current number of rules: 97
% New rule produced : [99] f(u2,v) -> f(v,v)
% Current number of equations to process: 236
% Current number of ordered equations: 0
% Current number of rules: 98
% New rule produced : [100] f(n2,f(uu,n1)) -> f(v,n3)
% Current number of equations to process: 236
% Current number of ordered equations: 0
% Current number of rules: 99
% New rule produced : [101] f(f(n1,u1),v) -> f(v,v)
% Current number of equations to process: 235
% Current number of ordered equations: 0
% Current number of rules: 100
% Rule [98] f(n1,v) -> f(n3,v) is composed into [98] f(n1,v) -> f(v,v)
% New rule produced : [102] f(n3,v) -> f(v,v)
% Current number of equations to process: 238
% Current number of ordered equations: 0
% Current number of rules: 101
% New rule produced : [103] f(n1,f(uu,n1)) -> f(v,n2)
% Current number of equations to process: 242
% Current number of ordered equations: 0
% Current number of rules: 102
% New rule produced : [104] f(f(uu,n1),v) -> f(v,v)
% Current number of equations to process: 241
% Current number of ordered equations: 0
% Current number of rules: 103
% New rule produced : [105] f(n1,f(X,n2)) -> f(f(n1,X),u)
% Current number of equations to process: 239
% Current number of ordered equations: 1
% Current number of rules: 104
% New rule produced : [106] f(n1,f(n2,X)) -> f(u1,f(u,X))
% Current number of equations to process: 239
% Current number of ordered equations: 0
% Current number of rules: 105
% New rule produced : [107] f(n3,f(X,n3)) -> f(f(n3,X),u)
% Current number of equations to process: 237
% Current number of ordered equations: 1
% Current number of rules: 106
% New rule produced : [108] f(n3,f(n3,X)) -> f(u3,f(u,X))
% Current number of equations to process: 237
% Current number of ordered equations: 0
% Current number of rules: 107
% New rule produced : [109] f(u1,f(X,u1)) -> f(f(u1,X),u2)
% Rule [71] f(u1,f(u3,u1)) -> f(b,u2) collapsed.
% Current number of equations to process: 235
% Current number of ordered equations: 1
% Current number of rules: 107
% New rule produced : [110] f(u1,f(u1,X)) -> f(u2,f(u1,X))
% Current number of equations to process: 235
% Current number of ordered equations: 0
% Current number of rules: 108
% New rule produced : [111] f(u2,f(n1,X)) -> f(n1,f(n3,X))
% Current number of equations to process: 233
% Current number of ordered equations: 1
% Current number of rules: 109
% New rule produced : [112] f(f(n1,X),u2) -> f(n1,f(X,n3))
% Current number of equations to process: 233
% Current number of ordered equations: 0
% Current number of rules: 110
% New rule produced : [113] f(u3,f(n2,X)) -> f(n2,f(n3,X))
% Current number of equations to process: 231
% Current number of ordered equations: 1
% Current number of rules: 111
% New rule produced : [114] f(f(n2,X),u3) -> f(n2,f(X,n3))
% Current number of equations to process: 231
% Current number of ordered equations: 0
% Current number of rules: 112
% New rule produced : [115] f(u2,f(X,u1)) -> f(f(u2,X),u3)
% Rule [75] f(u2,f(uu,u1)) -> f(v,u3) collapsed.
% Current number of equations to process: 229
% Current number of ordered equations: 1
% Current number of rules: 112
% Rule [110] f(u1,f(u1,X)) -> f(u2,f(u1,X)) is composed into [110]
% f(u1,f(u1,X)) ->
% f(u3,f(u2,X))
% New rule produced : [116] f(u2,f(u1,X)) -> f(u3,f(u2,X))
% Current number of equations to process: 229
% Current number of ordered equations: 0
% Current number of rules: 113
% New rule produced : [117] f(uu,f(n2,X)) -> f(n2,f(u,X))
% Current number of equations to process: 227
% Current number of ordered equations: 1
% Current number of rules: 114
% New rule produced : [118] f(f(n2,X),uu) -> f(n2,f(X,u))
% Current number of equations to process: 227
% Current number of ordered equations: 0
% Current number of rules: 115
% New rule produced : [119] f(u2,f(X,u2)) -> f(f(u2,X),uu)
% Current number of equations to process: 225
% Current number of ordered equations: 1
% Current number of rules: 116
% New rule produced : [120] f(u2,f(u2,X)) -> f(uu,f(u2,X))
% Current number of equations to process: 225
% Current number of ordered equations: 0
% Current number of rules: 117
% New rule produced : [121] f(n1,f(n1,u1)) -> f(v,u)
% Current number of equations to process: 224
% Current number of ordered equations: 0
% Current number of rules: 118
% New rule produced : [122] f(n2,f(u1,n1)) -> f(f(uu,n3),n3)
% Current number of equations to process: 223
% Current number of ordered equations: 0
% Current number of rules: 119
% New rule produced : [123] f(n2,f(uu,n3)) -> f(v,u3)
% Current number of equations to process: 222
% Current number of ordered equations: 0
% Current number of rules: 120
% New rule produced : [124] f(n3,f(uu,u)) -> f(v,uu)
% Current number of equations to process: 221
% Current number of ordered equations: 0
% Current number of rules: 121
% New rule produced : [125] f(n2,f(u2,n1)) -> f(f(uu,u),n3)
% Current number of equations to process: 220
% Current number of ordered equations: 0
% Current number of rules: 122
% New rule produced : [126] f(b,f(u,X)) -> f(u,f(u2,X))
% Current number of equations to process: 218
% Current number of ordered equations: 1
% Current number of rules: 123
% New rule produced : [127] f(f(u,X),b) -> f(u,f(X,u2))
% Current number of equations to process: 218
% Current number of ordered equations: 0
% Current number of rules: 124
% New rule produced : [128] f(v,f(u,X)) -> f(u,f(uu,X))
% Current number of equations to process: 216
% Current number of ordered equations: 1
% Current number of rules: 125
% New rule produced : [129] f(f(u,X),v) -> f(u,f(X,uu))
% Current number of equations to process: 216
% Current number of ordered equations: 0
% Current number of rules: 126
% New rule produced : [130] f(u1,f(u3,b)) -> f(b,f(v,uu))
% Current number of equations to process: 215
% Current number of ordered equations: 0
% Current number of rules: 127
% New rule produced : [131] f(u1,f(b,u3)) -> f(f(v,uu),b)
% Current number of equations to process: 214
% Current number of ordered equations: 0
% Current number of rules: 128
% New rule produced : [132] f(uu,f(v,v)) -> f(v,f(v,v))
% Current number of equations to process: 213
% Current number of ordered equations: 0
% Current number of rules: 129
% New rule produced : [133] f(uu,f(n1,X)) -> f(n1,f(u,X))
% Current number of equations to process: 211
% Current number of ordered equations: 1
% Current number of rules: 130
% New rule produced : [134] f(f(n1,X),uu) -> f(n1,f(X,u))
% Current number of equations to process: 211
% Current number of ordered equations: 0
% Current number of rules: 131
% New rule produced : [135] f(uu,f(n3,X)) -> f(n3,f(u,X))
% Current number of equations to process: 209
% Current number of ordered equations: 1
% Current number of rules: 132
% New rule produced : [136] f(f(n3,X),uu) -> f(n3,f(X,u))
% Current number of equations to process: 209
% Current number of ordered equations: 0
% Current number of rules: 133
% New rule produced : [137] f(n1,f(u2,n1)) -> f(f(uu,u),n2)
% Current number of equations to process: 208
% Current number of ordered equations: 0
% Current number of rules: 134
% New rule produced : [138] f(uu,f(u1,X)) -> f(u1,f(u2,X))
% Current number of equations to process: 206
% Current number of ordered equations: 1
% Current number of rules: 135
% New rule produced : [139] f(f(u1,X),uu) -> f(u1,f(X,u2))
% Current number of equations to process: 206
% Current number of ordered equations: 0
% Current number of rules: 136
% New rule produced : [140] f(u3,f(X,u3)) -> f(f(u3,X),uu)
% Rule [74] f(u3,f(uu,u3)) -> f(v,uu) collapsed.
% Current number of equations to process: 204
% Current number of ordered equations: 1
% Current number of rules: 136
% New rule produced : [141] f(u3,f(u3,X)) -> f(uu,f(u3,X))
% Current number of equations to process: 204
% Current number of ordered equations: 0
% Current number of rules: 137
% New rule produced : [142] f(v,f(u1,X)) -> f(u1,f(uu,X))
% Current number of equations to process: 202
% Current number of ordered equations: 1
% Current number of rules: 138
% New rule produced : [143] f(f(u1,X),v) -> f(u1,f(X,uu))
% Current number of equations to process: 202
% Current number of ordered equations: 0
% Current number of rules: 139
% New rule produced : [144] f(b,f(n1,X)) -> f(n1,f(u3,X))
% Current number of equations to process: 200
% Current number of ordered equations: 1
% Current number of rules: 140
% New rule produced : [145] f(f(n1,X),b) -> f(n1,f(X,u3))
% Rule [94] f(f(n1,u1),b) -> f(n1,b) collapsed.
% Current number of equations to process: 200
% Current number of ordered equations: 0
% Current number of rules: 140
% New rule produced : [146] f(uu,f(X,u2)) -> f(f(uu,X),b)
% Current number of equations to process: 198
% Current number of ordered equations: 1
% Current number of rules: 141
% Rule [120] f(u2,f(u2,X)) -> f(uu,f(u2,X)) is composed into [120]
% f(u2,f(u2,X)) ->
% f(b,f(uu,X))
% New rule produced : [147] f(uu,f(u2,X)) -> f(b,f(uu,X))
% Current number of equations to process: 198
% Current number of ordered equations: 0
% Current number of rules: 142
% New rule produced : [148] f(n2,f(u3,n1)) -> f(f(uu,u3),n3)
% Current number of equations to process: 197
% Current number of ordered equations: 0
% Current number of rules: 143
% New rule produced : [149] f(n2,f(uu,u3)) -> f(u2,f(uu,u3))
% Current number of equations to process: 196
% Current number of ordered equations: 0
% Current number of rules: 144
% New rule produced : [150] f(u,f(uu,u3)) -> f(u2,f(uu,u3))
% Current number of equations to process: 195
% Current number of ordered equations: 0
% Current number of rules: 145
% New rule produced : [151] f(v,f(n2,X)) -> f(n2,f(uu,X))
% Current number of equations to process: 193
% Current number of ordered equations: 1
% Current number of rules: 146
% New rule produced : [152] f(f(n2,X),v) -> f(n2,f(X,uu))
% Current number of equations to process: 193
% Current number of ordered equations: 0
% Current number of rules: 147
% New rule produced : [153] f(v,f(n1,X)) -> f(n1,f(uu,X))
% Current number of equations to process: 191
% Current number of ordered equations: 1
% Current number of rules: 148
% New rule produced : [154] f(f(n1,X),v) -> f(n1,f(X,uu))
% Rule [101] f(f(n1,u1),v) -> f(v,v) collapsed.
% Current number of equations to process: 191
% Current number of ordered equations: 0
% Current number of rules: 148
% New rule produced : [155] f(v,f(u2,X)) -> f(u2,f(uu,X))
% Current number of equations to process: 189
% Current number of ordered equations: 1
% Current number of rules: 149
% New rule produced : [156] f(f(u2,X),v) -> f(u2,f(X,uu))
% Current number of equations to process: 189
% Current number of ordered equations: 0
% Current number of rules: 150
% New rule produced : [157] f(n2,f(u3,n3)) -> f(f(uu,u3),u3)
% Current number of equations to process: 204
% Current number of ordered equations: 0
% Current number of rules: 151
% New rule produced : [158] f(u,f(v,b)) -> f(uu,f(v,b))
% Current number of equations to process: 203
% Current number of ordered equations: 0
% Current number of rules: 152
% New rule produced : [159] f(n1,f(v,uu)) -> f(n3,f(v,uu))
% Current number of equations to process: 213
% Current number of ordered equations: 0
% Current number of rules: 153
% New rule produced : [160] f(n2,f(v,uu)) -> f(u2,f(v,uu))
% Current number of equations to process: 212
% Current number of ordered equations: 0
% Current number of rules: 154
% New rule produced : [161] f(u,f(v,uu)) -> f(u2,f(v,uu))
% Current number of equations to process: 211
% Current number of ordered equations: 0
% Current number of rules: 155
% New rule produced : [162] f(u,f(v,v)) -> f(v,f(v,v))
% Current number of equations to process: 210
% Current number of ordered equations: 0
% Current number of rules: 156
% New rule produced : [163] f(u3,v) -> f(v,v)
% Current number of equations to process: 216
% Current number of ordered equations: 0
% Current number of rules: 157
% New rule produced : [164] f(f(uu,n3),v) -> f(v,v)
% Current number of equations to process: 216
% Current number of ordered equations: 0
% Current number of rules: 158
% New rule produced : [165] f(f(uu,u3),v) -> f(v,v)
% Current number of equations to process: 227
% Current number of ordered equations: 0
% Current number of rules: 159
% New rule produced : [166] f(v,f(n3,X)) -> f(n3,f(uu,X))
% Current number of equations to process: 225
% Current number of ordered equations: 1
% Current number of rules: 160
% New rule produced : [167] f(f(n3,X),v) -> f(n3,f(X,uu))
% Current number of equations to process: 225
% Current number of ordered equations: 0
% Current number of rules: 161
% New rule produced : [168] f(f(uu,u),f(n1,u1)) -> b
% Current number of equations to process: 224
% Current number of ordered equations: 0
% Current number of rules: 162
% New rule produced : [169] f(b,f(X,b)) -> f(f(b,X),v)
% Current number of equations to process: 222
% Current number of ordered equations: 1
% Current number of rules: 163
% New rule produced : [170] f(b,f(b,X)) -> f(v,f(b,X))
% Current number of equations to process: 222
% Current number of ordered equations: 0
% Current number of rules: 164
% New rule produced : [171] f(v,f(u3,X)) -> f(u3,f(uu,X))
% Current number of equations to process: 220
% Current number of ordered equations: 1
% Current number of rules: 165
% New rule produced : [172] f(f(u3,X),v) -> f(u3,f(X,uu))
% Current number of equations to process: 220
% Current number of ordered equations: 0
% Current number of rules: 166
% Rule [159] f(n1,f(v,uu)) -> f(n3,f(v,uu)) is composed into [159]
% f(n1,f(v,uu)) ->
% f(u2,f(v,uu))
% New rule produced : [173] f(n3,f(v,uu)) -> f(u2,f(v,uu))
% Current number of equations to process: 225
% Current number of ordered equations: 0
% Current number of rules: 167
% New rule produced : [174] f(u1,f(v,uu)) -> f(u2,f(v,uu))
% Current number of equations to process: 224
% Current number of ordered equations: 0
% Current number of rules: 168
% Rule [174] f(u1,f(v,uu)) -> f(u2,f(v,uu)) is composed into [174]
% f(u1,f(v,uu)) ->
% f(f(v,v),v)
% Rule [173] f(n3,f(v,uu)) -> f(u2,f(v,uu)) is composed into [173]
% f(n3,f(v,uu)) ->
% f(f(v,v),v)
% Rule [161] f(u,f(v,uu)) -> f(u2,f(v,uu)) is composed into [161]
% f(u,f(v,uu)) ->
% f(f(v,v),v)
% Rule [160] f(n2,f(v,uu)) -> f(u2,f(v,uu)) is composed into [160]
% f(n2,f(v,uu)) ->
% f(f(v,v),v)
% Rule [159] f(n1,f(v,uu)) -> f(u2,f(v,uu)) is composed into [159]
% f(n1,f(v,uu)) ->
% f(f(v,v),v)
% New rule produced : [175] f(u2,f(v,uu)) -> f(f(v,v),v)
% Current number of equations to process: 233
% Current number of ordered equations: 0
% Current number of rules: 169
% New rule produced : [176] f(u1,f(v,v)) -> f(b,f(v,v))
% Current number of equations to process: 248
% Current number of ordered equations: 0
% Current number of rules: 170
% New rule produced : [177] f(u1,f(v,u3)) -> f(f(v,v),b)
% Current number of equations to process: 247
% Current number of ordered equations: 0
% Current number of rules: 171
% Rule [158] f(u,f(v,b)) -> f(uu,f(v,b)) is composed into [158]
% f(u,f(v,b)) ->
% f(v,f(v,b))
% New rule produced : [178] f(uu,f(v,b)) -> f(v,f(v,b))
% Current number of equations to process: 246
% Current number of ordered equations: 0
% Current number of rules: 172
% New rule produced : [179] f(n1,f(n1,b)) -> f(n3,f(n1,b))
% Current number of equations to process: 255
% Current number of ordered equations: 0
% Current number of rules: 173
% New rule produced : [180] f(n2,f(b,n1)) -> f(f(n1,b),n3)
% Current number of equations to process: 254
% Current number of ordered equations: 0
% Current number of rules: 174
% Rule [179] f(n1,f(n1,b)) -> f(n3,f(n1,b)) is composed into [179]
% f(n1,f(n1,b)) ->
% f(u2,f(v,b))
% New rule produced : [181] f(n3,f(n1,b)) -> f(u2,f(v,b))
% Current number of equations to process: 253
% Current number of ordered equations: 0
% Current number of rules: 175
% New rule produced : [182] f(u1,f(v,b)) -> f(u2,f(v,b))
% Current number of equations to process: 252
% Current number of ordered equations: 0
% Current number of rules: 176
% New rule produced : [183] f(n1,f(v,v)) -> f(n3,f(v,v))
% Current number of equations to process: 276
% Current number of ordered equations: 0
% Current number of rules: 177
% New rule produced : [184] f(n2,f(v,n1)) -> f(f(v,v),n3)
% Current number of equations to process: 275
% Current number of ordered equations: 0
% Current number of rules: 178
% New rule produced : [185] f(n2,f(v,v)) -> f(u2,f(v,v))
% Current number of equations to process: 274
% Current number of ordered equations: 0
% Current number of rules: 179
% Rule [185] f(n2,f(v,v)) -> f(u2,f(v,v)) is composed into [185]
% f(n2,f(v,v)) ->
% f(v,f(v,v))
% New rule produced : [186] f(u2,f(v,v)) -> f(v,f(v,v))
% Current number of equations to process: 273
% Current number of ordered equations: 0
% Current number of rules: 180
% Rule [183] f(n1,f(v,v)) -> f(n3,f(v,v)) is composed into [183]
% f(n1,f(v,v)) ->
% f(v,f(v,v))
% New rule produced : [187] f(n3,f(v,v)) -> f(v,f(v,v))
% Current number of equations to process: 272
% Current number of ordered equations: 0
% Current number of rules: 181
% New rule produced : [188] f(n1,f(v,n1)) -> f(f(v,v),n2)
% Current number of equations to process: 271
% Current number of ordered equations: 0
% Current number of rules: 182
% Rule [176] f(u1,f(v,v)) -> f(b,f(v,v)) is composed into [176]
% f(u1,f(v,v)) ->
% f(v,f(v,v))
% New rule produced : [189] f(b,f(v,v)) -> f(v,f(v,v))
% Current number of equations to process: 270
% Current number of ordered equations: 0
% Current number of rules: 183
% New rule produced : [190] f(n2,f(v,n3)) -> f(f(v,v),u3)
% Current number of equations to process: 278
% Current number of ordered equations: 0
% Current number of rules: 184
% New rule produced : [191] f(u3,f(v,v)) -> f(v,f(v,v))
% Current number of equations to process: 277
% Current number of ordered equations: 0
% Current number of rules: 185
% New rule produced : [192] f(n1,f(uu,n3)) -> f(v,u2)
% Current number of equations to process: 301
% Current number of ordered equations: 0
% Current number of rules: 186
% New rule produced : [193] f(n1,f(uu,u3)) -> f(v,b)
% Current number of equations to process: 300
% Current number of ordered equations: 0
% Current number of rules: 187
% New rule produced : [194] f(n1,f(u3,n3)) -> f(b,u2)
% Current number of equations to process: 300
% Current number of ordered equations: 0
% Current number of rules: 188
% New rule produced : [195] f(n1,f(v,n3)) -> f(f(v,v),u2)
% Current number of equations to process: 300
% Current number of ordered equations: 0
% Current number of rules: 189
% New rule produced : [196] f(f(n3,n1),u) -> f(n3,u2)
% Current number of equations to process: 305
% Current number of ordered equations: 0
% Current number of rules: 190
% New rule produced : [197] f(f(n3,n2),u) -> f(uu,u)
% Current number of equations to process: 304
% Current number of ordered equations: 0
% Current number of rules: 191
% New rule produced : [198] f(f(u1,u),u2) -> f(v,u2)
% Current number of equations to process: 319
% Current number of ordered equations: 0
% Current number of rules: 192
% New rule produced : [199] f(f(u1,n2),u2) -> f(u1,f(uu,n3))
% Current number of equations to process: 318
% Current number of ordered equations: 0
% Current number of rules: 193
% New rule produced : [200] f(u3,f(v,uu)) -> f(f(v,v),v)
% Current number of equations to process: 328
% Current number of ordered equations: 0
% Current number of rules: 194
% New rule produced : [201] f(n1,f(n3,u2)) -> f(u2,f(uu,u))
% Current number of equations to process: 337
% Current number of ordered equations: 0
% Current number of rules: 195
% New rule produced : [202] f(n1,f(u2,n3)) -> f(f(uu,u),u2)
% Current number of equations to process: 346
% Current number of ordered equations: 0
% Current number of rules: 196
% New rule produced : [203] f(n2,f(n3,u1)) -> f(u3,f(uu,n3))
% Current number of equations to process: 358
% Current number of ordered equations: 0
% Current number of rules: 197
% New rule produced : [204] f(n2,f(n3,u2)) -> f(u3,f(uu,u))
% Current number of equations to process: 357
% Current number of ordered equations: 0
% Current number of rules: 198
% New rule produced : [205] f(u3,f(n1,b)) -> f(n2,f(n3,b))
% Current number of equations to process: 356
% Current number of ordered equations: 0
% Current number of rules: 199
% New rule produced : [206] f(n2,f(u1,n3)) -> f(f(uu,n3),u3)
% Current number of equations to process: 368
% Current number of ordered equations: 0
% Current number of rules: 200
% New rule produced : [207] f(n2,f(u2,n3)) -> f(f(uu,u),u3)
% Current number of equations to process: 367
% Current number of ordered equations: 0
% Current number of rules: 201
% New rule produced : [208] f(f(n1,b),u3) -> f(n2,f(b,n3))
% Current number of equations to process: 366
% Current number of ordered equations: 0
% Current number of rules: 202
% New rule produced : [209] f(f(u2,u),u3) -> f(v,u3)
% Current number of equations to process: 370
% Current number of ordered equations: 0
% Current number of rules: 203
% New rule produced : [210] f(f(u2,n2),u3) -> f(u2,f(uu,n3))
% Current number of equations to process: 370
% Current number of ordered equations: 0
% Current number of rules: 204
% New rule produced : [211] f(f(u2,n1),u3) -> f(n1,f(n3,u1))
% Current number of equations to process: 369
% Current number of ordered equations: 0
% Current number of rules: 205
% New rule produced : [212] f(n2,f(v,b)) -> f(n1,f(v,b))
% Current number of equations to process: 387
% Current number of ordered equations: 0
% Current number of rules: 206
% New rule produced : [213] f(uu,f(v,n3)) -> f(n2,f(v,u1))
% Current number of equations to process: 386
% Current number of ordered equations: 0
% Current number of rules: 207
% New rule produced : [214] f(f(uu,n3),uu) -> f(n2,f(u1,u))
% Current number of equations to process: 402
% Current number of ordered equations: 0
% Current number of rules: 208
% New rule produced : [215] f(n2,f(u2,u)) -> f(f(uu,u),uu)
% Current number of equations to process: 401
% Current number of ordered equations: 0
% Current number of rules: 209
% New rule produced : [216] f(n2,f(u3,u)) -> f(f(uu,u3),uu)
% Current number of equations to process: 400
% Current number of ordered equations: 0
% Current number of rules: 210
% New rule produced : [217] f(f(u3,n3),uu) -> f(u3,f(uu,u))
% Current number of equations to process: 399
% Current number of ordered equations: 0
% Current number of rules: 211
% New rule produced : [218] f(n2,f(b,u)) -> f(n1,f(b,u))
% Current number of equations to process: 398
% Current number of ordered equations: 0
% Current number of rules: 212
% New rule produced : [219] f(n2,f(v,u)) -> f(f(v,v),uu)
% Current number of equations to process: 397
% Current number of ordered equations: 0
% Current number of rules: 213
% New rule produced : [220] f(f(u2,u),uu) -> f(v,uu)
% Current number of equations to process: 402
% Current number of ordered equations: 0
% Current number of rules: 214
% New rule produced : [221] f(f(u2,n2),uu) -> f(u2,f(uu,u))
% Current number of equations to process: 401
% Current number of ordered equations: 0
% Current number of rules: 215
% New rule produced : [222] f(f(u2,n1),uu) -> f(u2,f(uu,u))
% Current number of equations to process: 400
% Current number of ordered equations: 0
% Current number of rules: 216
% New rule produced : [223] f(n1,f(v,u)) -> f(f(v,v),uu)
% Current number of equations to process: 417
% Current number of ordered equations: 0
% Current number of rules: 217
% New rule produced : [224] f(u1,f(v,u2)) -> f(f(v,v),uu)
% Current number of equations to process: 416
% Current number of ordered equations: 0
% Current number of rules: 218
% New rule produced : [225] f(n1,f(v,u2)) -> f(n3,f(v,u3))
% Current number of equations to process: 437
% Current number of ordered equations: 0
% Current number of rules: 219
% New rule produced : [226] f(n2,f(v,u3)) -> f(u2,f(v,u3))
% Current number of equations to process: 436
% Current number of ordered equations: 0
% Current number of rules: 220
% New rule produced : [227] f(u,f(v,u3)) -> f(u2,f(v,u3))
% Current number of equations to process: 435
% Current number of ordered equations: 0
% Current number of rules: 221
% New rule produced : [228] f(n1,f(v,u3)) -> f(f(v,v),b)
% Current number of equations to process: 434
% Current number of ordered equations: 0
% Current number of rules: 222
% Rule [227] f(u,f(v,u3)) -> f(u2,f(v,u3)) is composed into [227]
% f(u,f(v,u3)) ->
% f(uu,f(v,u3))
% Rule [226] f(n2,f(v,u3)) -> f(u2,f(v,u3)) is composed into [226]
% f(n2,f(v,u3)) ->
% f(uu,f(v,u3))
% New rule produced : [229] f(u2,f(v,u3)) -> f(uu,f(v,u3))
% Current number of equations to process: 433
% Current number of ordered equations: 0
% Current number of rules: 223
% New rule produced : [230] f(f(uu,u1),b) -> v
% Current number of equations to process: 470
% Current number of ordered equations: 0
% Current number of rules: 224
% New rule produced : [231] f(u,f(u3,u2)) -> f(f(uu,u3),b)
% Current number of equations to process: 472
% Current number of ordered equations: 0
% Current number of rules: 225
% New rule produced : [232] f(u,f(b,u2)) -> f(f(v,b),b)
% Current number of equations to process: 471
% Current number of ordered equations: 0
% Current number of rules: 226
% New rule produced : [233] f(u,f(v,u2)) -> f(f(v,v),b)
% Current number of equations to process: 470
% Current number of ordered equations: 0
% Current number of rules: 227
% New rule produced : [234] f(u,f(b,uu)) -> f(f(v,b),v)
% Current number of equations to process: 491
% Current number of ordered equations: 0
% Current number of rules: 228
% New rule produced : [235] f(uu,f(v,n2)) -> f(n1,f(v,u1))
% Current number of equations to process: 519
% Current number of ordered equations: 0
% Current number of rules: 229
% New rule produced : [236] f(uu,f(v,u)) -> f(n3,f(v,u3))
% Current number of equations to process: 518
% Current number of ordered equations: 0
% Current number of rules: 230
% New rule produced : [237] f(n1,f(u3,u)) -> f(b,uu)
% Current number of equations to process: 524
% Current number of ordered equations: 0
% Current number of rules: 231
% New rule produced : [238] f(n1,f(u2,u)) -> f(f(uu,u),uu)
% Current number of equations to process: 529
% Current number of ordered equations: 0
% Current number of rules: 232
% New rule produced : [239] f(n3,f(u3,u)) -> f(f(uu,u),uu)
% Current number of equations to process: 549
% Current number of ordered equations: 0
% Current number of rules: 233
% New rule produced : [240] f(n3,f(v,u)) -> f(f(v,v),uu)
% Current number of equations to process: 548
% Current number of ordered equations: 0
% Current number of rules: 234
% New rule produced : [241] f(f(X,n1),f(X,n2)) -> f(X,u)
% Current number of equations to process: 547
% Current number of ordered equations: 0
% Current number of rules: 235
% New rule produced : [242] f(u1,f(b,u2)) -> f(f(v,uu),uu)
% Current number of equations to process: 576
% Current number of ordered equations: 0
% Current number of rules: 236
% New rule produced : [243] f(f(X,n3),f(X,n3)) -> f(X,u)
% Current number of equations to process: 575
% Current number of ordered equations: 0
% Current number of rules: 237
% New rule produced : [244] f(f(X,u1),f(X,u1)) -> f(X,u2)
% Current number of equations to process: 574
% Current number of ordered equations: 0
% Current number of rules: 238
% New rule produced : [245] f(f(u3,u),uu) -> f(v,uu)
% Current number of equations to process: 580
% Current number of ordered equations: 0
% Current number of rules: 239
% New rule produced : [246] f(f(u3,n1),uu) -> f(u3,b)
% Current number of equations to process: 579
% Current number of ordered equations: 0
% Current number of rules: 240
% New rule produced : [247] f(f(u3,n2),uu) -> f(v,uu)
% Current number of equations to process: 578
% Current number of ordered equations: 0
% Current number of rules: 241
% New rule produced : [248] f(f(u3,u2),uu) -> f(v,uu)
% Current number of equations to process: 577
% Current number of ordered equations: 0
% Current number of rules: 242
% New rule produced : [249] f(f(X,n1),f(X,n3)) -> f(X,u2)
% Current number of equations to process: 582
% Current number of ordered equations: 0
% Current number of rules: 243
% New rule produced : [250] f(v,f(v,uu)) -> f(u2,f(v,b))
% Current number of equations to process: 591
% Current number of ordered equations: 0
% Current number of rules: 244
% New rule produced : [251] f(u1,f(b,uu)) -> f(f(v,uu),v)
% Current number of equations to process: 600
% Current number of ordered equations: 0
% Current number of rules: 245
% New rule produced : [252] f(f(b,uu),v) -> f(f(v,v),v)
% Current number of equations to process: 599
% Current number of ordered equations: 0
% Current number of rules: 246
% New rule produced : [253] f(f(uu,u),b) -> f(v,b)
% Current number of equations to process: 614
% Current number of ordered equations: 0
% Current number of rules: 247
% New rule produced : [254] f(f(n3,u2),b) -> f(uu,a)
% Current number of equations to process: 621
% Current number of ordered equations: 0
% Current number of rules: 248
% New rule produced : [255] f(f(X,n2),f(X,n3)) -> f(X,u3)
% Current number of equations to process: 620
% Current number of ordered equations: 0
% Current number of rules: 249
% New rule produced : [256] f(f(uu,n3),b) -> f(n3,b)
% Current number of equations to process: 625
% Current number of ordered equations: 0
% Current number of rules: 250
% New rule produced : [257] f(f(X,u2),f(X,u1)) -> f(X,u3)
% Current number of equations to process: 632
% Current number of ordered equations: 0
% Current number of rules: 251
% New rule produced : [258] f(f(X,n2),f(X,u)) -> f(X,uu)
% Current number of equations to process: 662
% Current number of ordered equations: 0
% Current number of rules: 252
% New rule produced : [259] f(n2,f(b,uu)) -> f(n1,f(b,uu))
% Current number of equations to process: 674
% Current number of ordered equations: 0
% Current number of rules: 253
% New rule produced : [260] f(f(X,u2),f(X,u2)) -> f(X,uu)
% Current number of equations to process: 685
% Current number of ordered equations: 0
% Current number of rules: 254
% New rule produced : [261] f(f(b,n2),v) -> f(n1,f(u3,b))
% Current number of equations to process: 702
% Current number of ordered equations: 0
% Current number of rules: 255
% New rule produced : [262] f(u2,f(b,uu)) -> f(f(v,uu),v)
% Current number of equations to process: 718
% Current number of ordered equations: 0
% Current number of rules: 256
% New rule produced : [263] f(f(uu,n3),f(uu,u3)) -> f(n1,b)
% Current number of equations to process: 717
% Current number of ordered equations: 0
% Current number of rules: 257
% New rule produced : [264] f(f(X,u),f(X,u2)) -> f(X,b)
% Current number of equations to process: 730
% Current number of ordered equations: 0
% Current number of rules: 258
% New rule produced : [265] f(f(X,u),f(X,uu)) -> f(X,v)
% Current number of equations to process: 773
% Current number of ordered equations: 0
% Current number of rules: 259
% New rule produced : [266] f(f(X,n1),f(X,u)) -> f(X,uu)
% Current number of equations to process: 806
% Current number of ordered equations: 0
% Current number of rules: 260
% New rule produced : [267] f(f(b,u1),v) -> f(b,f(v,uu))
% Current number of equations to process: 813
% Current number of ordered equations: 0
% Current number of rules: 261
% New rule produced : [268] f(f(b,u),v) -> f(f(v,v),v)
% Current number of equations to process: 812
% Current number of ordered equations: 0
% Current number of rules: 262
% New rule produced : [269] f(f(b,u2),v) -> f(b,f(v,uu))
% Current number of equations to process: 811
% Current number of ordered equations: 0
% Current number of rules: 263
% New rule produced : [270] f(f(b,n1),v) -> f(n1,f(u3,b))
% Current number of equations to process: 810
% Current number of ordered equations: 0
% Current number of rules: 264
% New rule produced : [271] f(f(X,n3),f(X,u)) -> f(X,uu)
% Current number of equations to process: 827
% Current number of ordered equations: 0
% Current number of rules: 265
% New rule produced : [272] f(f(uu,n3),f(uu,n1)) -> f(n3,u1)
% Current number of equations to process: 826
% Current number of ordered equations: 0
% Current number of rules: 266
% New rule produced : [273] f(f(uu,n3),f(n1,u1)) -> f(n3,u2)
% Current number of equations to process: 825
% Current number of ordered equations: 0
% Current number of rules: 267
% New rule produced : [274] f(f(X,u1),f(X,u2)) -> f(X,uu)
% Current number of equations to process: 844
% Current number of ordered equations: 0
% Current number of rules: 268
% New rule produced : [275] f(f(n3,u1),f(uu,u)) -> f(n3,b)
% Current number of equations to process: 850
% Current number of ordered equations: 0
% Current number of rules: 269
% New rule produced : [276] f(f(X,u3),f(X,u3)) -> f(X,uu)
% Current number of equations to process: 870
% Current number of ordered equations: 0
% Current number of rules: 270
% New rule produced : [277] f(f(X,u1),f(X,uu)) -> f(X,v)
% Current number of equations to process: 873
% Current number of ordered equations: 0
% Current number of rules: 271
% New rule produced : [278] f(f(X,n1),f(X,u3)) -> f(X,b)
% Current number of equations to process: 872
% Current number of ordered equations: 0
% Current number of rules: 272
% New rule produced : [279] f(f(X,uu),f(X,u2)) -> f(X,b)
% Current number of equations to process: 918
% Current number of ordered equations: 0
% Current number of rules: 273
% New rule produced : [280] f(f(X,n2),f(X,uu)) -> f(X,v)
% Current number of equations to process: 989
% Current number of ordered equations: 0
% Current number of rules: 274
% New rule produced : [281] f(f(X,n1),f(X,uu)) -> f(X,v)
% Current number of equations to process: 1002
% Current number of ordered equations: 0
% Current number of rules: 275
% New rule produced : [282] f(n2,f(v,u2)) -> f(n3,f(v,u3))
% Current number of equations to process: 1017
% Current number of ordered equations: 0
% Current number of rules: 276
% New rule produced : [283] f(n2,f(b,u2)) -> f(n1,f(b,u2))
% Current number of equations to process: 1038
% Current number of ordered equations: 0
% Current number of rules: 277
% New rule produced : [284] f(f(X,u2),f(X,uu)) -> f(X,v)
% Current number of equations to process: 1037
% Current number of ordered equations: 0
% Current number of rules: 278
% New rule produced : [285] f(f(X,n3),f(X,uu)) -> f(X,v)
% Current number of equations to process: 1180
% Current number of ordered equations: 0
% Current number of rules: 279
% New rule produced : [286] f(f(n1,u1),f(uu,n1)) -> f(uu,n3)
% Current number of equations to process: 1218
% Current number of ordered equations: 0
% Current number of rules: 280
% New rule produced : [287] f(f(X,b),f(X,b)) -> f(X,v)
% Current number of equations to process: 1277
% Current number of ordered equations: 0
% Current number of rules: 281
% New rule produced : [288] f(f(X,u3),f(X,uu)) -> f(X,v)
% Current number of equations to process: 1276
% Current number of ordered equations: 0
% Current number of rules: 282
% New rule produced : [289] f(f(v,uu),f(v,u)) -> f(n1,b)
% Current number of equations to process: 1443
% Current number of ordered equations: 0
% Current number of rules: 283
% New rule produced : [290] f(f(b,uu),f(b,u1)) -> f(uu,u3)
% Current number of equations to process: 1442
% Current number of ordered equations: 0
% Current number of rules: 284
% New rule produced : [291] f(f(uu,n1),f(n1,u1)) -> f(uu,u)
% Current number of equations to process: 1454
% Current number of ordered equations: 0
% Current number of rules: 285
% New rule produced : [292] f(f(n1,u1),f(uu,n3)) -> f(uu,u3)
% Current number of equations to process: 1516
% Current number of ordered equations: 0
% Current number of rules: 286
% New rule produced : [293] f(f(n1,u1),f(uu,u)) -> v
% Current number of equations to process: 1526
% Current number of ordered equations: 0
% Current number of rules: 287
% New rule produced : [294] f(a,a) -> v
% Current number of equations to process: 1542
% Current number of ordered equations: 0
% Current number of rules: 288
% New rule produced : [295] f(f(n3,n2),b) -> f(f(uu,u),a)
% Current number of equations to process: 1561
% Current number of ordered equations: 0
% Current number of rules: 289
% New rule produced : [296] f(f(f(n3,n2),u1),a) -> v
% Current number of equations to process: 1615
% Current number of ordered equations: 0
% Current number of rules: 290
% Rule [295] f(f(n3,n2),b) -> f(f(uu,u),a) is composed into [295]
% f(f(n3,n2),b) ->
% f(v,a)
% New rule produced : [297] f(f(uu,u),a) -> f(v,a)
% Current number of equations to process: 1659
% Current number of ordered equations: 0
% Current number of rules: 291
% New rule produced : [298] f(f(n3,n1),f(uu,u)) -> f(n3,b)
% Current number of equations to process: 1658
% Current number of ordered equations: 0
% Current number of rules: 292
% New rule produced : [299] f(f(u2,n1),f(uu,u3)) -> f(v,uu)
% Current number of equations to process: 1657
% Current number of ordered equations: 0
% Current number of rules: 293
% New rule produced : [300] f(a,v) -> f(v,v)
% The conjecture has been reduced.
% Conjecture is now:
% Trivial
%
% Current number of equations to process: 1738
% Current number of ordered equations: 0
% Current number of rules: 294
% The current conjecture is true and the solution is the identity
% % SZS output start Refutation
%
% The following 14 rules have been used:
% [3]
% f(n2,n2) -> u; trace = in the starting set
% [8] f(u1,u3) -> b; trace = in the starting set
% [10] f(f(n3,n2),u2) -> a; trace = in the starting set
% [11] f(X,f(Y,Z)) <-> f(f(X,Y),f(X,Z)); trace = in the starting set
% [12] f(f(X,Y),f(X,Z)) <-> f(X,f(Y,Z)); trace = in the starting set
% [15] f(f(X,n2),f(X,n2)) -> f(X,u); trace = Cp of 11 and 3
% [27] f(n2,f(n2,X)) -> f(u2,f(u,X)); trace = Cp of 12 and 3
% [36] f(b,f(u1,X)) -> f(u1,f(u3,X)); trace = Cp of 12 and 8
% [46] f(n2,u) -> uu; trace = Cp of 15 and 3
% [63] f(u1,uu) -> v; trace = Cp of 36 and 8
% [70] f(u2,uu) -> v; trace = Cp of 46 and 27
% [90] f(b,v) -> f(v,v); trace = Cp of 63 and 36
% [284] f(f(X,u2),f(X,uu)) -> f(X,v); trace = Cp of 70 and 11
% [300] f(a,v) -> f(v,v); trace = Cp of 284 and 10
% % SZS output end Refutation
% All conjectures have been proven
%
% Execution time: 5.150000 sec
% res : bool = true
% time is now off
%
% status : string = "unsatisfiable"
% % SZS status Unsatisfiable
% CiME interrupted
%
% EOF
%------------------------------------------------------------------------------