TSTP Solution File: GRP679-1 by CiME---2.01

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : CiME---2.01
% Problem  : GRP679-1 : TPTP v6.0.0. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : tptp2X_and_run_cime %s

% Computer : n168.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 00:23:57 EDT 2014

% Result   : Unsatisfiable 1.29s
% Output   : Refutation 1.29s
% Verified : 
% SZS Type : None (Parsing solution fails)
% Syntax   : Number of formulae    : 0

% Comments : 
%------------------------------------------------------------------------------
%----ERROR: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% % Problem  : GRP679-1 : TPTP v6.0.0. Released v4.0.0.
% % Command  : tptp2X_and_run_cime %s
% % Computer : n168.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 : Sat Jun  7 00:53:08 CDT 2014
% % CPUTime  : 1.29 
% Processing problem /tmp/CiME_9457_n168.star.cs.uiowa.edu
% #verbose 1;
% let F = signature " a,op_c,unit : constant;  rd : 2;  mult : 2;  ld : 2;";
% let X = vars "A B C";
% let Axioms = equations F X "
% mult(A,ld(A,B)) = B;
% ld(A,mult(A,B)) = B;
% mult(rd(A,B),B) = A;
% rd(mult(A,B),B) = A;
% mult(A,unit) = A;
% mult(unit,A) = A;
% mult(A,mult(B,mult(A,C))) = mult(mult(A,mult(B,A)),C);
% mult(op_c,A) = mult(A,op_c);
% ";
% 
% let s1 = status F "
% a lr_lex;
% op_c lr_lex;
% unit lr_lex;
% rd lr_lex;
% mult lr_lex;
% ld lr_lex;
% ";
% 
% let p1 = precedence F "
% ld > mult > rd > unit > op_c > a";
% 
% let s2 = status F "
% a mul;
% op_c mul;
% unit mul;
% rd mul;
% mult mul;
% ld mul;
% ";
% 
% let p2 = precedence F "
% ld > mult > rd > unit = op_c = a";
% 
% let o_auto = AUTO Axioms;
% 
% let o = LEX o_auto (LEX (ACRPO s1 p1) (ACRPO s2 p2));
% 
% let Conjectures = equations F X " mult(mult(op_c,op_c),a) = mult(a,mult(op_c,op_c));"
% ;
% (*
% 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 = { mult(A,ld(A,B)) = B,
% ld(A,mult(A,B)) = B,
% mult(rd(A,B),B) = A,
% rd(mult(A,B),B) = A,
% mult(A,unit) = A,
% mult(unit,A) = A,
% mult(A,mult(B,mult(A,C))) =
% mult(mult(A,mult(B,A)),C),
% mult(op_c,A) = mult(A,op_c) } (8 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 = { mult(mult(op_c,op_c),a) =
% mult(a,mult(op_c,op_c)) } (1 equation(s))
% time is now on
% 
% Initializing completion ...
% New rule produced : [1] mult(A,unit) -> A
% Current number of equations to process: 0
% Current number of ordered equations: 8
% Current number of rules: 1
% New rule produced : [2] mult(unit,A) -> A
% Current number of equations to process: 0
% Current number of ordered equations: 7
% Current number of rules: 2
% New rule produced : [3] mult(A,op_c) <-> mult(op_c,A)
% Current number of equations to process: 0
% Current number of ordered equations: 6
% Current number of rules: 3
% New rule produced : [4] mult(op_c,A) <-> mult(A,op_c)
% Current number of equations to process: 0
% Current number of ordered equations: 5
% Current number of rules: 4
% New rule produced : [5] rd(mult(A,B),B) -> A
% Current number of equations to process: 0
% Current number of ordered equations: 4
% Current number of rules: 5
% New rule produced : [6] mult(A,ld(A,B)) -> B
% Current number of equations to process: 0
% Current number of ordered equations: 3
% Current number of rules: 6
% New rule produced : [7] mult(rd(A,B),B) -> A
% Current number of equations to process: 0
% Current number of ordered equations: 2
% Current number of rules: 7
% New rule produced : [8] ld(A,mult(A,B)) -> B
% Current number of equations to process: 0
% Current number of ordered equations: 1
% Current number of rules: 8
% New rule produced :
% [9] mult(mult(A,mult(B,A)),C) -> mult(A,mult(B,mult(A,C)))
% Current number of equations to process: 0
% Current number of ordered equations: 0
% Current number of rules: 9
% New rule produced : [10] rd(A,unit) -> A
% Current number of equations to process: 0
% Current number of ordered equations: 0
% Current number of rules: 10
% New rule produced : [11] rd(A,A) -> unit
% Current number of equations to process: 0
% Current number of ordered equations: 0
% Current number of rules: 11
% New rule produced : [12] ld(unit,A) -> A
% Current number of equations to process: 2
% Current number of ordered equations: 0
% Current number of rules: 12
% New rule produced : [13] ld(A,A) -> unit
% Current number of equations to process: 4
% Current number of ordered equations: 0
% Current number of rules: 13
% New rule produced : [14] rd(mult(op_c,A),op_c) -> A
% Current number of equations to process: 6
% Current number of ordered equations: 0
% Current number of rules: 14
% New rule produced : [15] rd(mult(A,op_c),A) -> op_c
% Current number of equations to process: 5
% Current number of ordered equations: 0
% Current number of rules: 15
% New rule produced : [16] rd(A,ld(B,A)) -> B
% Current number of equations to process: 4
% Current number of ordered equations: 0
% Current number of rules: 16
% New rule produced : [17] mult(op_c,rd(A,op_c)) -> A
% Current number of equations to process: 3
% Current number of ordered equations: 0
% Current number of rules: 17
% New rule produced : [18] ld(A,mult(op_c,A)) -> op_c
% Current number of equations to process: 2
% Current number of ordered equations: 0
% Current number of rules: 18
% New rule produced : [19] ld(op_c,mult(A,op_c)) -> A
% Current number of equations to process: 1
% Current number of ordered equations: 0
% Current number of rules: 19
% New rule produced : [20] ld(rd(A,B),A) -> B
% Current number of equations to process: 0
% Current number of ordered equations: 0
% Current number of rules: 20
% New rule produced : [21] mult(mult(A,A),B) -> mult(A,mult(A,B))
% The conjecture has been reduced. 
% Conjecture is now:
% mult(op_c,mult(a,op_c)) = mult(a,mult(op_c,op_c))
% 
% Current number of equations to process: 5
% Current number of ordered equations: 0
% Current number of rules: 21
% New rule produced : [22] ld(op_c,A) -> rd(A,op_c)
% Rule [19] ld(op_c,mult(A,op_c)) -> A collapsed.
% Current number of equations to process: 10
% Current number of ordered equations: 0
% Current number of rules: 21
% New rule produced : [23] rd(A,rd(A,op_c)) -> op_c
% Current number of equations to process: 10
% Current number of ordered equations: 0
% Current number of rules: 22
% New rule produced : [24] mult(A,mult(A,op_c)) <-> mult(op_c,mult(A,A))
% Current number of equations to process: 14
% Current number of ordered equations: 1
% Current number of rules: 23
% New rule produced : [25] mult(op_c,mult(A,A)) <-> mult(A,mult(A,op_c))
% Current number of equations to process: 14
% Current number of ordered equations: 0
% Current number of rules: 24
% New rule produced : [26] rd(mult(A,mult(A,B)),B) -> mult(A,A)
% Current number of equations to process: 13
% Current number of ordered equations: 0
% Current number of rules: 25
% New rule produced : [27] mult(A,mult(op_c,A)) <-> mult(op_c,mult(A,A))
% Current number of equations to process: 19
% Current number of ordered equations: 1
% Current number of rules: 26
% New rule produced : [28] mult(op_c,mult(A,A)) <-> mult(A,mult(op_c,A))
% Current number of equations to process: 19
% Current number of ordered equations: 0
% Current number of rules: 27
% New rule produced : [29] ld(A,mult(op_c,mult(A,A))) -> mult(A,op_c)
% Current number of equations to process: 18
% Current number of ordered equations: 0
% Current number of rules: 28
% New rule produced : [30] rd(mult(A,mult(op_c,A)),op_c) -> mult(A,A)
% Current number of equations to process: 26
% Current number of ordered equations: 0
% Current number of rules: 29
% New rule produced : [31] rd(mult(op_c,mult(A,op_c)),A) -> mult(op_c,op_c)
% Current number of equations to process: 25
% Current number of ordered equations: 0
% Current number of rules: 30
% New rule produced : [32] rd(mult(A,B),ld(A,B)) -> mult(A,A)
% Current number of equations to process: 24
% Current number of ordered equations: 0
% Current number of rules: 31
% New rule produced : [33] rd(mult(op_c,A),rd(A,op_c)) <-> mult(op_c,op_c)
% Current number of equations to process: 31
% Current number of ordered equations: 1
% Current number of rules: 32
% Rule [33] rd(mult(op_c,A),rd(A,op_c)) <-> mult(op_c,op_c) is composed into 
% [33] rd(mult(op_c,A),rd(A,op_c)) <-> rd(mult(op_c,a),rd(a,op_c))
% Rule [31] rd(mult(op_c,mult(A,op_c)),A) -> mult(op_c,op_c) is composed into 
% [31] rd(mult(op_c,mult(A,op_c)),A) -> rd(mult(op_c,a),rd(a,op_c))
% New rule produced : [34] mult(op_c,op_c) <-> rd(mult(op_c,A),rd(A,op_c))
% The conjecture has been reduced. 
% Conjecture is now:
% mult(op_c,mult(a,op_c)) = mult(a,rd(mult(a,op_c),rd(a,op_c)))
% 
% Current number of equations to process: 31
% Current number of ordered equations: 0
% Current number of rules: 33
% New rule produced : [35] rd(A,ld(A,unit)) -> mult(A,A)
% Current number of equations to process: 55
% Current number of ordered equations: 0
% Current number of rules: 34
% New rule produced : [36] rd(mult(op_c,A),ld(A,op_c)) -> mult(A,A)
% Current number of equations to process: 56
% Current number of ordered equations: 0
% Current number of rules: 35
% New rule produced : [37] rd(A,ld(B,ld(B,A))) -> mult(B,B)
% Current number of equations to process: 55
% Current number of ordered equations: 0
% Current number of rules: 36
% New rule produced : [38] ld(mult(A,A),mult(A,B)) -> ld(A,B)
% Current number of equations to process: 64
% Current number of ordered equations: 0
% Current number of rules: 37
% New rule produced : [39] ld(mult(A,A),A) -> ld(A,unit)
% Current number of equations to process: 76
% Current number of ordered equations: 0
% Current number of rules: 38
% New rule produced : [40] mult(B,mult(B,ld(mult(B,B),A))) -> A
% Current number of equations to process: 76
% Current number of ordered equations: 0
% Current number of rules: 39
% New rule produced : [41] ld(mult(A,A),mult(op_c,A)) -> ld(A,op_c)
% Current number of equations to process: 79
% Current number of ordered equations: 0
% Current number of rules: 40
% New rule produced : [42] ld(mult(A,A),B) -> ld(A,ld(A,B))
% Rule [38] ld(mult(A,A),mult(A,B)) -> ld(A,B) collapsed.
% Rule [39] ld(mult(A,A),A) -> ld(A,unit) collapsed.
% Rule [40] mult(B,mult(B,ld(mult(B,B),A))) -> A collapsed.
% Rule [41] ld(mult(A,A),mult(op_c,A)) -> ld(A,op_c) collapsed.
% Current number of equations to process: 80
% Current number of ordered equations: 0
% Current number of rules: 37
% New rule produced : [43] rd(mult(op_c,mult(A,A)),mult(A,op_c)) -> A
% Current number of equations to process: 87
% Current number of ordered equations: 0
% Current number of rules: 38
% New rule produced : [44] rd(mult(A,mult(A,op_c)),mult(A,A)) -> op_c
% Current number of equations to process: 86
% Current number of ordered equations: 0
% Current number of rules: 39
% New rule produced : [45] rd(mult(op_c,mult(A,A)),mult(op_c,A)) -> A
% Current number of equations to process: 83
% Current number of ordered equations: 0
% Current number of rules: 40
% New rule produced : [46] rd(mult(A,mult(op_c,A)),mult(A,A)) -> op_c
% Current number of equations to process: 81
% Current number of ordered equations: 0
% Current number of rules: 41
% New rule produced :
% [47] rd(mult(a,op_c),rd(a,op_c)) -> rd(op_c,rd(unit,op_c))
% The conjecture has been reduced. 
% Conjecture is now:
% mult(op_c,mult(a,op_c)) = mult(a,rd(op_c,rd(unit,op_c)))
% 
% Current number of equations to process: 77
% Current number of ordered equations: 0
% Current number of rules: 42
% New rule produced : [48] rd(rd(mult(op_c,A),rd(A,op_c)),op_c) -> op_c
% Current number of equations to process: 76
% Current number of ordered equations: 0
% Current number of rules: 43
% New rule produced : [49] mult(rd(unit,A),rd(unit,A)) -> rd(rd(unit,A),A)
% Current number of equations to process: 75
% Current number of ordered equations: 0
% Current number of rules: 44
% New rule produced : [50] rd(mult(A,mult(op_c,A)),mult(A,op_c)) -> A
% Current number of equations to process: 75
% Current number of ordered equations: 0
% Current number of rules: 45
% New rule produced : [51] rd(mult(A,mult(A,op_c)),mult(op_c,A)) -> A
% Current number of equations to process: 75
% Current number of ordered equations: 0
% Current number of rules: 46
% New rule produced : [52] rd(rd(op_c,rd(unit,op_c)),op_c) -> op_c
% Current number of equations to process: 85
% Current number of ordered equations: 0
% Current number of rules: 47
% New rule produced : [53] rd(rd(mult(A,op_c),rd(A,op_c)),op_c) -> op_c
% Current number of equations to process: 84
% Current number of ordered equations: 0
% Current number of rules: 48
% Rule [34] mult(op_c,op_c) <-> rd(mult(op_c,A),rd(A,op_c)) is composed into 
% [34] mult(op_c,op_c) -> rd(op_c,rd(unit,op_c))
% Rule [31] rd(mult(op_c,mult(A,op_c)),A) -> rd(mult(op_c,a),rd(a,op_c)) is composed into 
% [31] rd(mult(op_c,mult(A,op_c)),A) -> rd(op_c,rd(unit,op_c))
% New rule produced :
% [54] rd(mult(op_c,A),rd(A,op_c)) -> rd(op_c,rd(unit,op_c))
% Rule [33] rd(mult(op_c,A),rd(A,op_c)) <-> rd(mult(op_c,a),rd(a,op_c))
% collapsed.
% Rule [48] rd(rd(mult(op_c,A),rd(A,op_c)),op_c) -> op_c collapsed.
% Current number of equations to process: 83
% Current number of ordered equations: 0
% Current number of rules: 47
% New rule produced :
% [55] rd(mult(A,op_c),rd(A,op_c)) -> rd(op_c,rd(unit,op_c))
% Rule [47] rd(mult(a,op_c),rd(a,op_c)) -> rd(op_c,rd(unit,op_c)) collapsed.
% Rule [53] rd(rd(mult(A,op_c),rd(A,op_c)),op_c) -> op_c collapsed.
% Current number of equations to process: 92
% Current number of ordered equations: 0
% Current number of rules: 46
% New rule produced : [56] rd(A,rd(rd(A,op_c),op_c)) -> rd(op_c,rd(unit,op_c))
% Current number of equations to process: 99
% Current number of ordered equations: 0
% Current number of rules: 47
% New rule produced : [57] ld(rd(op_c,rd(unit,op_c)),A) -> rd(rd(A,op_c),op_c)
% Current number of equations to process: 104
% Current number of ordered equations: 0
% Current number of rules: 48
% New rule produced :
% [58] mult(A,mult(B,mult(A,op_c))) <-> mult(op_c,mult(A,mult(B,A)))
% Current number of equations to process: 107
% Current number of ordered equations: 2
% Current number of rules: 49
% New rule produced :
% [59] mult(op_c,mult(A,mult(B,A))) <-> mult(A,mult(B,mult(A,op_c)))
% Current number of equations to process: 107
% Current number of ordered equations: 1
% Current number of rules: 50
% New rule produced :
% [60] mult(mult(op_c,mult(op_c,A)),B) -> mult(op_c,mult(A,mult(op_c,B)))
% Current number of equations to process: 107
% Current number of ordered equations: 0
% Current number of rules: 51
% New rule produced :
% [61] mult(rd(op_c,rd(unit,op_c)),A) -> mult(op_c,mult(op_c,A))
% Current number of equations to process: 149
% Current number of ordered equations: 0
% Current number of rules: 52
% New rule produced :
% [62] mult(mult(A,mult(A,op_c)),B) -> mult(A,mult(op_c,mult(A,B)))
% Current number of equations to process: 170
% Current number of ordered equations: 0
% Current number of rules: 53
% New rule produced : [63] mult(rd(A,B),rd(A,B)) -> rd(mult(rd(A,B),A),B)
% Rule [49] mult(rd(unit,A),rd(unit,A)) -> rd(rd(unit,A),A) collapsed.
% Current number of equations to process: 187
% Current number of ordered equations: 0
% Current number of rules: 53
% New rule produced :
% [64] mult(mult(op_c,mult(A,A)),B) -> mult(A,mult(op_c,mult(A,B)))
% Current number of equations to process: 212
% Current number of ordered equations: 0
% Current number of rules: 54
% New rule produced : [65] rd(A,ld(rd(A,B),B)) -> rd(mult(rd(A,B),A),B)
% Current number of equations to process: 233
% Current number of ordered equations: 0
% Current number of rules: 55
% New rule produced : [66] rd(rd(rd(unit,A),A),rd(unit,A)) -> rd(unit,A)
% Current number of equations to process: 241
% Current number of ordered equations: 0
% Current number of rules: 56
% New rule produced : [67] ld(rd(unit,A),rd(rd(unit,A),A)) -> rd(unit,A)
% Current number of equations to process: 245
% Current number of ordered equations: 0
% Current number of rules: 57
% New rule produced :
% [68] mult(A,mult(B,mult(op_c,A))) <-> mult(op_c,mult(A,mult(B,A)))
% Current number of equations to process: 243
% Current number of ordered equations: 1
% Current number of rules: 58
% New rule produced :
% [69] mult(op_c,mult(A,mult(B,A))) <-> mult(A,mult(B,mult(op_c,A)))
% Current number of equations to process: 243
% Current number of ordered equations: 0
% Current number of rules: 59
% New rule produced :
% [70] mult(A,mult(op_c,mult(A,A))) <-> mult(op_c,mult(A,mult(A,A)))
% Current number of equations to process: 299
% Current number of ordered equations: 1
% Current number of rules: 60
% New rule produced :
% [71] mult(op_c,mult(A,mult(A,A))) <-> mult(A,mult(op_c,mult(A,A)))
% Current number of equations to process: 299
% Current number of ordered equations: 0
% Current number of rules: 61
% New rule produced :
% [72] mult(A,mult(op_c,mult(A,op_c))) <-> mult(op_c,mult(A,mult(A,op_c)))
% Current number of equations to process: 322
% Current number of ordered equations: 1
% Current number of rules: 62
% New rule produced :
% [73] mult(op_c,mult(A,mult(A,op_c))) <-> mult(A,mult(op_c,mult(A,op_c)))
% Current number of equations to process: 322
% Current number of ordered equations: 0
% Current number of rules: 63
% New rule produced :
% [74] mult(rd(A,op_c),mult(op_c,A)) -> mult(op_c,mult(rd(A,op_c),A))
% Current number of equations to process: 336
% Current number of ordered equations: 0
% Current number of rules: 64
% New rule produced :
% [75] mult(A,mult(op_c,mult(A,op_c))) <-> mult(op_c,mult(op_c,mult(A,A)))
% Current number of equations to process: 350
% Current number of ordered equations: 1
% Current number of rules: 65
% New rule produced :
% [76] mult(op_c,mult(op_c,mult(A,A))) <-> mult(A,mult(op_c,mult(A,op_c)))
% Current number of equations to process: 350
% Current number of ordered equations: 0
% Current number of rules: 66
% New rule produced :
% [77] mult(A,mult(op_c,mult(op_c,A))) <-> mult(op_c,mult(A,mult(A,op_c)))
% Current number of equations to process: 366
% Current number of ordered equations: 1
% Current number of rules: 67
% New rule produced :
% [78] mult(op_c,mult(A,mult(A,op_c))) <-> mult(A,mult(op_c,mult(op_c,A)))
% Current number of equations to process: 366
% Current number of ordered equations: 0
% Current number of rules: 68
% New rule produced :
% [79] mult(A,mult(op_c,mult(op_c,A))) <-> mult(op_c,mult(op_c,mult(A,A)))
% Current number of equations to process: 391
% Current number of ordered equations: 1
% Current number of rules: 69
% New rule produced :
% [80] mult(op_c,mult(op_c,mult(A,A))) <-> mult(A,mult(op_c,mult(op_c,A)))
% Current number of equations to process: 391
% Current number of ordered equations: 0
% Current number of rules: 70
% New rule produced :
% [81] mult(rd(A,op_c),mult(A,op_c)) -> mult(op_c,mult(rd(A,op_c),A))
% Current number of equations to process: 427
% Current number of ordered equations: 0
% Current number of rules: 71
% New rule produced : [82] rd(mult(A,mult(B,mult(A,C))),C) -> mult(A,mult(B,A))
% Current number of equations to process: 431
% Current number of ordered equations: 0
% Current number of rules: 72
% New rule produced :
% [83] mult(A,rd(op_c,rd(unit,op_c))) <-> mult(op_c,mult(A,op_c))
% Current number of equations to process: 451
% Current number of ordered equations: 1
% Current number of rules: 73
% New rule produced :
% [84] mult(op_c,mult(A,op_c)) <-> mult(A,rd(op_c,rd(unit,op_c)))
% The conjecture has been reduced. 
% Conjecture is now:
% Trivial
% 
% Current number of equations to process: 451
% Current number of ordered equations: 0
% Current number of rules: 74
% The current conjecture is true and the solution is the identity
% % SZS output start Refutation
% 
% The following 14 rules have been used:
% [1] 
% mult(A,unit) -> A; trace = in the starting set
% [2] mult(unit,A) -> A; trace = in the starting set
% [3] mult(A,op_c) <-> mult(op_c,A); trace = in the starting set
% [5] rd(mult(A,B),B) -> A; trace = in the starting set
% [7] mult(rd(A,B),B) -> A; trace = in the starting set
% [9] mult(mult(A,mult(B,A)),C) -> mult(A,mult(B,mult(A,C))); trace = in the starting set
% [17] mult(op_c,rd(A,op_c)) -> A; trace = Cp of 7 and 3
% [21] mult(mult(A,A),B) -> mult(A,mult(A,B)); trace = Cp of 9 and 2
% [26] rd(mult(A,mult(A,B)),B) -> mult(A,A); trace = Cp of 21 and 5
% [33] rd(mult(op_c,A),rd(A,op_c)) <-> rd(mult(op_c,a),rd(a,op_c)); trace = Cp of 26 and 17
% [34] mult(op_c,op_c) -> rd(op_c,rd(unit,op_c)); trace = Cp of 26 and 17
% [47] rd(mult(a,op_c),rd(a,op_c)) -> rd(op_c,rd(unit,op_c)); trace = Cp of 33 and 1
% [82] rd(mult(A,mult(B,mult(A,C))),C) -> mult(A,mult(B,A)); trace = Cp of 9 and 5
% [84] mult(op_c,mult(A,op_c)) <-> mult(A,rd(op_c,rd(unit,op_c))); trace = Cp of 82 and 34
% % SZS output end Refutation
% All conjectures have been proven
% 
% Execution time: 0.170000 sec
% res : bool = true
% time is now off
% 
% status : string = "unsatisfiable"
% % SZS status Unsatisfiable
% CiME interrupted
% 
% EOF
%------------------------------------------------------------------------------